-- cgit v1.2.3 From e7c6a8ae371de46469f0509697572c9f30071281 Mon Sep 17 00:00:00 2001 From: skachano Date: Thu, 11 Feb 2016 14:18:49 +0000 Subject: Added relaxed witness complex + persistence example git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1016 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 06f7fec6464e35a6ca0aa18f7a25cbb7a7f68ad5 --- src/Witness_complex/example/CMakeLists.txt | 3 + .../example/relaxed_witness_persistence.cpp | 108 +++++++++ .../include/gudhi/Relaxed_witness_complex.h | 270 +++++++++++++++++++++ 3 files changed, 381 insertions(+) create mode 100644 src/Witness_complex/example/relaxed_witness_persistence.cpp create mode 100644 src/Witness_complex/include/gudhi/Relaxed_witness_complex.h diff --git a/src/Witness_complex/example/CMakeLists.txt b/src/Witness_complex/example/CMakeLists.txt index b304479e..9b874261 100644 --- a/src/Witness_complex/example/CMakeLists.txt +++ b/src/Witness_complex/example/CMakeLists.txt @@ -35,6 +35,9 @@ if(CGAL_FOUND) add_executable ( witness_complex_sphere witness_complex_sphere.cpp ) target_link_libraries(witness_complex_sphere ${Boost_SYSTEM_LIBRARY} ${CGAL_LIBRARY}) add_test( witness_complex_sphere_10 ${CMAKE_CURRENT_BINARY_DIR}/witness_complex_sphere 10) + add_executable ( relaxed_witness_persistence relaxed_witness_persistence.cpp ) + target_link_libraries(relaxed_witness_persistence ${Boost_SYSTEM_LIBRARY} ${CGAL_LIBRARY}) + add_test( relaxed_witness_persistence_10 ${CMAKE_CURRENT_BINARY_DIR}/relaxed_witness_persistence 10) else() message(WARNING "Eigen3 not found. Version 3.1.0 is required for witness_complex_sphere example.") endif() diff --git a/src/Witness_complex/example/relaxed_witness_persistence.cpp b/src/Witness_complex/example/relaxed_witness_persistence.cpp new file mode 100644 index 00000000..09fe0d31 --- /dev/null +++ b/src/Witness_complex/example/relaxed_witness_persistence.cpp @@ -0,0 +1,108 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#include +#include +#include +#include +#include "Landmark_choice_random_knn.h" + +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include + +#include "generators.h" +#include "output.h" + +using namespace Gudhi; +using namespace Gudhi::witness_complex; +using namespace Gudhi::persistent_cohomology; + +typedef std::vector Point_Vector; +typedef Relaxed_witness_complex< Simplex_tree<> > RelaxedWitnessComplex; + +int main (int argc, char * const argv[]) +{ + if (argc != 6) { + std::cerr << "Usage: " << argv[0] + << " nbP nbL dim alpha limD\n"; + return 0; + } + /* + boost::filesystem::path p; + for (; argc > 2; --argc, ++argv) + p /= argv[1]; + */ + + int nbP = atoi(argv[1]); + int nbL = atoi(argv[2]); + int dim = atoi(argv[3]); + double alpha = atof(argv[4]); + int limD = atoi(argv[5]); + //Construct the Simplex Tree + clock_t start, end; + + // Construct the Simplex Tree + Simplex_tree<> simplex_tree; + + // Read the point file + Point_Vector point_vector; + generate_points_sphere(point_vector, nbP, dim); + std::cout << "Successfully generated " << point_vector.size() << " points.\n"; + std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; + + // Choose landmarks + std::vector > knn; + std::vector > distances; + Gudhi::witness_complex::landmark_choice_by_random_knn(point_vector, nbL, alpha, limD, knn, distances); + + // Compute witness complex + start = clock(); + RelaxedWitnessComplex(distances, + knn, + simplex_tree, + nbL, + alpha, + limD); + end = clock(); + double time = static_cast(end - start) / CLOCKS_PER_SEC; + std::cout << "Witness complex for " << nbL << " landmarks took " + << time << " s. \n"; + // std::cout << simplex_tree << "\n"; + + // Compute the persistence diagram of the complex + persistent_cohomology::Persistent_cohomology< Simplex_tree<>, Field_Zp > pcoh(simplex_tree, false); + int p = 3; + pcoh.init_coefficients( p ); //initilizes the coefficient field for homology + pcoh.compute_persistent_cohomology( alpha/10 ); + pcoh.output_diagram(); +} diff --git a/src/Witness_complex/include/gudhi/Relaxed_witness_complex.h b/src/Witness_complex/include/gudhi/Relaxed_witness_complex.h new file mode 100644 index 00000000..6fc71a05 --- /dev/null +++ b/src/Witness_complex/include/gudhi/Relaxed_witness_complex.h @@ -0,0 +1,270 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#ifndef RELAXED_WITNESS_COMPLEX_H_ +#define RELAXED_WITNESS_COMPLEX_H_ + +#include +#include +#include +#include +#include "gudhi/reader_utils.h" +#include "gudhi/distance_functions.h" +#include "gudhi/Simplex_tree.h" +#include +#include +#include +#include +#include +#include +#include +#include + +// Needed for nearest neighbours +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include + +// Needed for the adjacency graph in bad link search +#include +#include +#include + +namespace Gudhi { + +namespace witness_complex { + + /** \addtogroup simplex_tree + * Witness complex is a simplicial complex defined on two sets of points in \f$\mathbf{R}^D\f$: + * \f$W\f$ set of witnesses and \f$L \subseteq W\f$ set of landmarks. The simplices are based on points in \f$L\f$ + * and a simplex belongs to the witness complex if and only if it is witnessed (there exists a point \f$w \in W\f$ such that + * w is closer to the vertices of this simplex than others) and all of its faces are witnessed as well. + */ +template< class Simplicial_complex > +class Relaxed_witness_complex { + + private: + struct Active_witness { + int witness_id; + int landmark_id; + + Active_witness(int witness_id_, int landmark_id_) + : witness_id(witness_id_), + landmark_id(landmark_id_) { } + }; + + private: + typedef typename Simplicial_complex::Simplex_handle Simplex_handle; + typedef typename Simplicial_complex::Vertex_handle Vertex_handle; + + typedef std::vector< double > Point_t; + typedef std::vector< Point_t > Point_Vector; + + // typedef typename Simplicial_complex::Filtration_value Filtration_value; + typedef std::vector< Vertex_handle > typeVectorVertex; + typedef std::pair< typeVectorVertex, Filtration_value> typeSimplex; + typedef std::pair< Simplex_handle, bool > typePairSimplexBool; + + typedef int Witness_id; + typedef int Landmark_id; + typedef std::list< Vertex_handle > ActiveWitnessList; + + private: + int nbL; // Number of landmarks + Simplicial_complex& sc; // Simplicial complex + + public: + /** @name Constructor + */ + + //@{ + + /** + * \brief Iterative construction of the relaxed witness complex. + * \details The witness complex is written in sc_ basing on a matrix knn + * of k nearest neighbours of the form {witnesses}x{landmarks} and + * and a matrix distances of distances to these landmarks from witnesses. + * The parameter alpha defines relaxation and + * limD defines the + * + * The line lengths in one given matrix can differ, + * however both matrices have the same corresponding line lengths. + * + * The type KNearestNeighbors can be seen as + * Witness_range>, where + * Witness_range and Closest_landmark_range are random access ranges. + * + * Constructor takes into account at most (dim+1) + * first landmarks from each landmark range to construct simplices. + * + * Landmarks are supposed to be in [0,nbL_-1] + */ + + template< typename KNearestNeighbours > + Relaxed_witness_complex(std::vector< std::vector > const & distances, + KNearestNeighbours const & knn, + Simplicial_complex & sc_, + int nbL_, + double alpha, + int limD) : nbL(nbL_), sc(sc_) { + int nbW = knn.size(); + typeVectorVertex vv; + //int counter = 0; + /* The list of still useful witnesses + * it will diminuish in the course of iterations + */ + ActiveWitnessList active_w;// = new ActiveWitnessList(); + for (int i = 0; i != nbL; ++i) { + // initial fill of 0-dimensional simplices + // by doing it we don't assume that landmarks are necessarily witnesses themselves anymore + //counter++; + vv = {i}; + sc.insert_simplex(vv, Filtration_value(0.0)); + /* TODO Error if not inserted : normally no need here though*/ + } + int k = 1; /* current dimension in iterative construction */ + for (int i=0; i != nbW; ++i) + active_w.push_back(i); + while (!active_w.empty() && k <= limD && k < nbL ) + { + typename ActiveWitnessList::iterator aw_it = active_w.begin(); + while (aw_it != active_w.end()) + { + std::vector simplex; + bool ok = add_all_faces_of_dimension(k, + alpha, + std::numeric_limits::infinity(), + distances[*aw_it].begin(), + knn[*aw_it].begin(), + simplex, + knn[*aw_it].end()); + if (!ok) + active_w.erase(aw_it++); //First increase the iterator and then erase the previous element + else + aw_it++; + } + k++; + } + sc.set_dimension(limD); + } + + //@} + +private: + /* \brief Adds recursively all the faces of a certain dimension dim witnessed by the same witness + * Iterator is needed to know until how far we can take landmarks to form simplexes + * simplex is the prefix of the simplexes to insert + * The output value indicates if the witness rests active or not + */ + bool add_all_faces_of_dimension(int dim, + double alpha, + double norelax_dist, + std::vector::const_iterator curr_d, + std::vector::const_iterator curr_l, + std::vector& simplex, + std::vector::const_iterator end) + { + if (curr_l == end) + return false; + bool will_be_active = false; + std::vector::const_iterator l_it = curr_l; + std::vector::const_iterator d_it = curr_d; + if (dim > 0) + for (; *d_it - alpha < norelax_dist && l_it != end; ++l_it, ++d_it) { + simplex.push_back(*l_it); + if (sc.find(simplex) != sc.null_simplex()) + will_be_active = add_all_faces_of_dimension(dim-1, + alpha, + norelax_dist, + d_it+1, + l_it+1, + simplex, + end) || will_be_active; + simplex.pop_back(); + // If norelax_dist is infinity, change to first omitted distance + if (*d_it < norelax_dist) + norelax_dist = *d_it; + will_be_active = add_all_faces_of_dimension(dim-1, + alpha, + norelax_dist, + d_it+1, + l_it+1, + simplex, + end) || will_be_active; + } + else if (dim == 0) + for (; *d_it - alpha < norelax_dist && l_it != end; ++l_it, ++d_it) { + simplex.push_back(*l_it); + double filtration_value = 0; + // if norelax_dist is infinite, relaxation is 0. + if (*d_it > norelax_dist) + filtration_value = *d_it - norelax_dist; + if (all_faces_in(simplex, &filtration_value)) + { + will_be_active = true; + sc.insert_simplex(simplex, filtration_value); + } + simplex.pop_back(); + // If norelax_dist is infinity, change to first omitted distance + if (*d_it < norelax_dist) + norelax_dist = *d_it; + } + return will_be_active; + } + + /** \brief Check if the facets of the k-dimensional simplex witnessed + * by witness witness_id are already in the complex. + * inserted_vertex is the handle of the (k+1)-th vertex witnessed by witness_id + */ + bool all_faces_in(std::vector& simplex, double* filtration_value) + { + std::vector< int > facet; + for (std::vector::iterator not_it = simplex.begin(); not_it != simplex.end(); ++not_it) + { + facet.clear(); + for (std::vector::iterator it = simplex.begin(); it != simplex.end(); ++it) + if (it != not_it) + facet.push_back(*it); + Simplex_handle facet_sh = sc.find(facet); + if (facet_sh == sc.null_simplex()) + return false; + else if (sc.filtration(facet_sh) > *filtration_value) + *filtration_value = sc.filtration(facet_sh); + } + return true; + } + +}; //class Witness_complex + +} // namespace witness_complex + +} // namespace Guhdi + +#endif -- cgit v1.2.3 From 8837fea64910e8f2e45bebe25c3733a8250ebca8 Mon Sep 17 00:00:00 2001 From: skachano Date: Thu, 18 Feb 2016 11:13:57 +0000 Subject: Improved the benching program a bit git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1030 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: dc3d13fa785bee42a574134519b05e98b934d6f5 --- src/Persistent_cohomology/example/CMakeLists.txt | 16 ++ .../example/relaxed_witness_persistence.cpp | 233 ++++++++++++++++++--- .../include/gudhi/Relaxed_witness_complex.h | 18 +- 3 files changed, 229 insertions(+), 38 deletions(-) diff --git a/src/Persistent_cohomology/example/CMakeLists.txt b/src/Persistent_cohomology/example/CMakeLists.txt index 95506631..772193c4 100644 --- a/src/Persistent_cohomology/example/CMakeLists.txt +++ b/src/Persistent_cohomology/example/CMakeLists.txt @@ -31,6 +31,7 @@ add_test(persistence_from_file_3_3_100 ${CMAKE_CURRENT_BINARY_DIR}/persistence_f if(GMPXX_FOUND AND GMP_FOUND) message("GMPXX_LIBRARIES = ${GMPXX_LIBRARIES}") message("GMP_LIBRARIES = ${GMP_LIBRARIES}") + message("CGAL_LIBRARY = ${CGAL_LIBRARY}") add_executable(rips_multifield_persistence rips_multifield_persistence.cpp ) target_link_libraries(rips_multifield_persistence ${Boost_SYSTEM_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY} ${GMPXX_LIBRARIES} ${GMP_LIBRARIES}) @@ -40,6 +41,21 @@ if(GMPXX_FOUND AND GMP_FOUND) target_link_libraries(performance_rips_persistence ${Boost_SYSTEM_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY} ${GMPXX_LIBRARIES} ${GMP_LIBRARIES}) if(CGAL_FOUND) + include( ${CGAL_USE_FILE} ) + # In CMakeLists.txt, when include(${CGAL_USE_FILE}), CXX_FLAGS are overwritten. + # cf. http://doc.cgal.org/latest/Manual/installation.html#title40 + # A workaround is to add "-std=c++11" again. + # A fix would be to use https://cmake.org/cmake/help/v3.1/prop_gbl/CMAKE_CXX_KNOWN_FEATURES.html + # or even better https://cmake.org/cmake/help/v3.1/variable/CMAKE_CXX_STANDARD.html + # but it implies to use cmake version 3.1 at least. + if(NOT MSVC) + include(CheckCXXCompilerFlag) + CHECK_CXX_COMPILER_FLAG(-std=c++11 COMPILER_SUPPORTS_CXX11) + if(COMPILER_SUPPORTS_CXX11) + set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -std=c++11") + endif() + endif() + # - End of workaround if (CMAKE_BUILD_TYPE MATCHES Debug) # For programs to be more verbose add_definitions(-DDEBUG_TRACES) diff --git a/src/Witness_complex/example/relaxed_witness_persistence.cpp b/src/Witness_complex/example/relaxed_witness_persistence.cpp index 09fe0d31..b8e4866f 100644 --- a/src/Witness_complex/example/relaxed_witness_persistence.cpp +++ b/src/Witness_complex/example/relaxed_witness_persistence.cpp @@ -50,41 +50,63 @@ using namespace Gudhi::persistent_cohomology; typedef std::vector Point_Vector; typedef Relaxed_witness_complex< Simplex_tree<> > RelaxedWitnessComplex; -int main (int argc, char * const argv[]) -{ - if (argc != 6) { - std::cerr << "Usage: " << argv[0] - << " nbP nbL dim alpha limD\n"; - return 0; +/** + * \brief Customized version of read_points + * which takes into account a possible nbP first line + * + */ +inline void +read_points_cust(std::string file_name, std::vector< std::vector< double > > & points) { + std::ifstream in_file(file_name.c_str(), std::ios::in); + if (!in_file.is_open()) { + std::cerr << "Unable to open file " << file_name << std::endl; + return; + } + std::string line; + double x; + while (getline(in_file, line)) { + std::vector< double > point; + std::istringstream iss(line); + while (iss >> x) { + point.push_back(x); } - /* - boost::filesystem::path p; - for (; argc > 2; --argc, ++argv) - p /= argv[1]; - */ - - int nbP = atoi(argv[1]); - int nbL = atoi(argv[2]); - int dim = atoi(argv[3]); - double alpha = atof(argv[4]); - int limD = atoi(argv[5]); - //Construct the Simplex Tree - clock_t start, end; + if (point.size() != 1) + points.push_back(point); + } + in_file.close(); +} - // Construct the Simplex Tree - Simplex_tree<> simplex_tree; +void output_experiment_information(char * const file_name) +{ + std::cout << "Enter a valid experiment number. Usage: " + << file_name << " exp_no options\n"; + std::cout << "Experiment description:\n" + << "0 nbP nbL dim alpha limD: " + << "Build persistence diagram on relaxed witness complex " + << "built from a point cloud on (dim-1)-dimensional sphere " + << "consisting of nbP witnesses and nbL landmarks. " + << "The maximal relaxation is alpha and the limit on simplicial complex " + << "dimension is limD.\n"; + std::cout << "1 file_name nbL alpha limD: " + << "Build persistence diagram on relaxed witness complex " + << "build from a point cloud stored in a file and nbL landmarks. " + << "The maximal relaxation is alpha and the limit on simplicial complex dimension is limD\n"; +} - // Read the point file - Point_Vector point_vector; - generate_points_sphere(point_vector, nbP, dim); - std::cout << "Successfully generated " << point_vector.size() << " points.\n"; - std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; +void rw_experiment(Point_Vector & point_vector, int nbL, FT alpha, int limD) +{ + clock_t start, end; + Simplex_tree<> simplex_tree; // Choose landmarks std::vector > knn; std::vector > distances; + start = clock(); Gudhi::witness_complex::landmark_choice_by_random_knn(point_vector, nbL, alpha, limD, knn, distances); - + end = clock(); + double time = static_cast(end - start) / CLOCKS_PER_SEC; + std::cout << "Choice of " << nbL << " landmarks took " + << time << " s. \n"; // Compute witness complex start = clock(); RelaxedWitnessComplex(distances, @@ -94,15 +116,168 @@ int main (int argc, char * const argv[]) alpha, limD); end = clock(); - double time = static_cast(end - start) / CLOCKS_PER_SEC; + time = static_cast(end - start) / CLOCKS_PER_SEC; std::cout << "Witness complex for " << nbL << " landmarks took " << time << " s. \n"; + std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; // std::cout << simplex_tree << "\n"; // Compute the persistence diagram of the complex persistent_cohomology::Persistent_cohomology< Simplex_tree<>, Field_Zp > pcoh(simplex_tree, false); int p = 3; pcoh.init_coefficients( p ); //initilizes the coefficient field for homology - pcoh.compute_persistent_cohomology( alpha/10 ); + start = clock(); + pcoh.compute_persistent_cohomology( alpha/5 ); + end = clock(); + time = static_cast(end - start) / CLOCKS_PER_SEC; + std::cout << "Persistence diagram took " + << time << " s. \n"; pcoh.output_diagram(); } + +void rips_experiment(Point_Vector & points, double threshold, int dim_max) +{ + typedef std::vector Point_t; + typedef Simplex_tree ST; + clock_t start, end; + ST st; + + // Compute the proximity graph of the points + start = clock(); + Graph_t prox_graph = compute_proximity_graph(points, threshold + , euclidean_distance); + // Construct the Rips complex in a Simplex Tree + // insert the proximity graph in the simplex tree + st.insert_graph(prox_graph); + // expand the graph until dimension dim_max + st.expansion(dim_max); + end = clock(); + + double time = static_cast(end - start) / CLOCKS_PER_SEC; + std::cout << "Rips complex took " + << time << " s. \n"; + std::cout << "The complex contains " << st.num_simplices() << " simplices \n"; + //std::cout << " and has dimension " << st.dimension() << " \n"; + + // Sort the simplices in the order of the filtration + st.initialize_filtration(); + + // Compute the persistence diagram of the complex + persistent_cohomology::Persistent_cohomology pcoh(st); + // initializes the coefficient field for homology + int p = 3; + double min_persistence = threshold/5; + pcoh.init_coefficients(p); + pcoh.compute_persistent_cohomology(min_persistence); + pcoh.output_diagram(); +} + +int experiment0 (int argc, char * const argv[]) +{ + if (argc != 7) { + std::cerr << "Usage: " << argv[0] + << " 0 nbP nbL dim alpha limD\n"; + return 0; + } + /* + boost::filesystem::path p; + for (; argc > 2; --argc, ++argv) + p /= argv[1]; + */ + + int nbP = atoi(argv[2]); + int nbL = atoi(argv[3]); + int dim = atoi(argv[4]); + double alpha = atof(argv[5]); + int limD = atoi(argv[6]); + + // Read the point file + Point_Vector point_vector; + generate_points_sphere(point_vector, nbP, dim); + std::cout << "Successfully generated " << point_vector.size() << " points.\n"; + std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; + + rw_experiment(point_vector, nbL, alpha, limD); +} + +int experiment1 (int argc, char * const argv[]) +{ + if (argc != 3) { + std::cerr << "Usage: " << argv[0] + << " 1 file_name\n"; + return 0; + } + /* + boost::filesystem::path p; + for (; argc > 2; --argc, ++argv) + p /= argv[1]; + */ + + std::string file_name = argv[2]; + + // Read the point file + Point_Vector point_vector; + read_points_cust(file_name, point_vector); + std::cout << "The file contains " << point_vector.size() << " points.\n"; + std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; + + bool ok = false; + int nbL, limD; + double alpha; + while (!ok) { + std::cout << "Relaxed witness complex: parameters nbL, alpha, limD.\n"; + std::cout << "Enter nbL: "; + std::cin >> nbL; + std::cout << "Enter alpha: "; + std::cin >> alpha; + std::cout << "Enter limD: "; + std::cin >> limD; + std::cout << "Start relaxed witness complex...\n"; + rw_experiment(point_vector, nbL, alpha, limD); + std::cout << "Is the result correct? [y/n]: "; + char answer; + std::cin >> answer; + switch (answer) { + case 'n': + ok = false; break; + default : + ok = true; break; + } + } + ok = false; + while (!ok) { + std::cout << "Rips complex: parameters threshold, limD.\n"; + std::cout << "Enter threshold: "; + std::cin >> alpha; + std::cout << "Enter limD: "; + std::cin >> limD; + std::cout << "Start Rips complex...\n"; + rips_experiment(point_vector, alpha, limD); + std::cout << "Is the result correct? [y/n]: "; + char answer; + std::cin >> answer; + switch (answer) { + case 'n': + ok = false; break; + default : + ok = true; break; + } + } +} + +int main (int argc, char * const argv[]) +{ + if (argc == 1) { + output_experiment_information(argv[0]); + return 1; + } + switch (atoi(argv[1])) { + case 0 : + return experiment0(argc, argv); + case 1 : + return experiment1(argc, argv); + default : + output_experiment_information(argv[0]); + return 1; + } +} diff --git a/src/Witness_complex/include/gudhi/Relaxed_witness_complex.h b/src/Witness_complex/include/gudhi/Relaxed_witness_complex.h index 6fc71a05..04dc37d4 100644 --- a/src/Witness_complex/include/gudhi/Relaxed_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Relaxed_witness_complex.h @@ -70,17 +70,17 @@ namespace witness_complex { template< class Simplicial_complex > class Relaxed_witness_complex { - private: - struct Active_witness { - int witness_id; - int landmark_id; - - Active_witness(int witness_id_, int landmark_id_) - : witness_id(witness_id_), - landmark_id(landmark_id_) { } +private: + struct Active_witness { + int witness_id; + int landmark_id; + + Active_witness(int witness_id_, int landmark_id_) + : witness_id(witness_id_), + landmark_id(landmark_id_) { } }; - private: +private: typedef typename Simplicial_complex::Simplex_handle Simplex_handle; typedef typename Simplicial_complex::Vertex_handle Vertex_handle; -- cgit v1.2.3 From 68752bc0ce16dbff783b5f84a2d02a10b7d05a4e Mon Sep 17 00:00:00 2001 From: skachano Date: Thu, 9 Jun 2016 12:52:35 +0000 Subject: Added everything missing git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1265 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: c148ce9136bb0786acc1c9ae49827cb3958326c6 --- .../Alvarez_surface_deg9_k2_D8_from_42K_to_34K.txt | 33904 +++++++++++++ data/Alvarez_variete_k2_D4_300k_to_31k_2x2.txt | 30979 ++++++++++++ data/Alvarez_variete_k2_D8_900k_to_50k_2x2.txt | 50329 +++++++++++++++++++ src/Witness_complex/example/CMakeLists.txt | 8 + .../example/Landmark_choice_random_knn.h | 142 + .../example/Landmark_choice_sparsification.h | 230 + src/Witness_complex/example/a0_persistence.cpp | 632 + src/Witness_complex/example/bench_rwit.cpp | 616 + src/Witness_complex/example/color-picker.cpp | 37 + src/Witness_complex/example/generators.h | 8 + src/Witness_complex/example/off_writer.h | 11 + src/Witness_complex/example/output.h | 305 + src/Witness_complex/example/output_tikz.h | 178 + src/Witness_complex/example/relaxed_delaunay.cpp | 180 + .../example/relaxed_witness_complex_sphere.cpp | 461 + .../example/relaxed_witness_persistence.cpp | 122 +- src/Witness_complex/example/strange_sphere.cpp | 219 + src/Witness_complex/include/gudhi/A0_complex.h | 337 + .../include/gudhi/Dim_list_iterator.h | 155 + src/Witness_complex/include/gudhi/Dim_lists.h | 195 + src/Witness_complex/include/gudhi/Good_links.h | 72 + .../include/gudhi/Relaxed_witness_complex.h | 131 +- .../include/gudhi/Strange_witness_complex.h | 232 + .../include/gudhi/Strong_relaxed_witness_complex.h | 337 + .../include/gudhi/Weak_relaxed_witness_complex.h | 379 + 25 files changed, 120119 insertions(+), 80 deletions(-) create mode 100644 data/Alvarez_surface_deg9_k2_D8_from_42K_to_34K.txt create mode 100644 data/Alvarez_variete_k2_D4_300k_to_31k_2x2.txt create mode 100644 data/Alvarez_variete_k2_D8_900k_to_50k_2x2.txt create mode 100644 src/Witness_complex/example/Landmark_choice_random_knn.h create mode 100644 src/Witness_complex/example/Landmark_choice_sparsification.h create mode 100644 src/Witness_complex/example/a0_persistence.cpp create mode 100644 src/Witness_complex/example/bench_rwit.cpp create mode 100644 src/Witness_complex/example/color-picker.cpp create mode 100644 src/Witness_complex/example/off_writer.h create mode 100644 src/Witness_complex/example/output.h create mode 100644 src/Witness_complex/example/output_tikz.h create mode 100644 src/Witness_complex/example/relaxed_delaunay.cpp create mode 100644 src/Witness_complex/example/relaxed_witness_complex_sphere.cpp create mode 100644 src/Witness_complex/example/strange_sphere.cpp create mode 100644 src/Witness_complex/include/gudhi/A0_complex.h create mode 100644 src/Witness_complex/include/gudhi/Dim_list_iterator.h create mode 100644 src/Witness_complex/include/gudhi/Dim_lists.h create mode 100644 src/Witness_complex/include/gudhi/Good_links.h create mode 100644 src/Witness_complex/include/gudhi/Strange_witness_complex.h create mode 100644 src/Witness_complex/include/gudhi/Strong_relaxed_witness_complex.h create mode 100644 src/Witness_complex/include/gudhi/Weak_relaxed_witness_complex.h diff --git a/data/Alvarez_surface_deg9_k2_D8_from_42K_to_34K.txt b/data/Alvarez_surface_deg9_k2_D8_from_42K_to_34K.txt new file mode 100644 index 00000000..d0a34713 --- /dev/null +++ b/data/Alvarez_surface_deg9_k2_D8_from_42K_to_34K.txt @@ -0,0 +1,33904 @@ +33903 +1 0 0 0 0 0 0 0 +0 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0.478882 0.341291 -0.163258 -0.211539 -0.147217 -0.161136 -0.283648 diff --git a/src/Witness_complex/example/CMakeLists.txt b/src/Witness_complex/example/CMakeLists.txt index 9b874261..80396392 100644 --- a/src/Witness_complex/example/CMakeLists.txt +++ b/src/Witness_complex/example/CMakeLists.txt @@ -38,6 +38,14 @@ if(CGAL_FOUND) add_executable ( relaxed_witness_persistence relaxed_witness_persistence.cpp ) target_link_libraries(relaxed_witness_persistence ${Boost_SYSTEM_LIBRARY} ${CGAL_LIBRARY}) add_test( relaxed_witness_persistence_10 ${CMAKE_CURRENT_BINARY_DIR}/relaxed_witness_persistence 10) + add_executable ( a0_persistence a0_persistence.cpp ) + target_link_libraries(a0_persistence ${Boost_SYSTEM_LIBRARY} ${CGAL_LIBRARY}) + add_test( a0_persistence_10 ${CMAKE_CURRENT_BINARY_DIR}/a0_persistence 10) + add_executable ( bench_rwit bench_rwit.cpp ) + + add_executable ( relaxed_delaunay relaxed_delaunay.cpp ) + target_link_libraries(relaxed_delaunay ${Boost_SYSTEM_LIBRARY} ${CGAL_LIBRARY}) + add_test( relaxed_delaunay_10 ${CMAKE_CURRENT_BINARY_DIR}/relaxed_delaunay 10) else() message(WARNING "Eigen3 not found. Version 3.1.0 is required for witness_complex_sphere example.") endif() diff --git a/src/Witness_complex/example/Landmark_choice_random_knn.h b/src/Witness_complex/example/Landmark_choice_random_knn.h new file mode 100644 index 00000000..3797b4c5 --- /dev/null +++ b/src/Witness_complex/example/Landmark_choice_random_knn.h @@ -0,0 +1,142 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#ifndef LANDMARK_CHOICE_BY_RANDOM_KNN_H_ +#define LANDMARK_CHOICE_BY_RANDOM_KNN_H_ + +#include // for pair<> +#include +#include // for ptrdiff_t type + +//#include +#include +#include +//#include +#include +#include +#include +#include +#include +//#include +#include + + +namespace Gudhi { + +namespace witness_complex { + +typedef CGAL::Epick_d K; +typedef K::FT FT; +typedef K::Point_d Point_d; +typedef CGAL::Search_traits< FT, + Point_d, + typename K::Cartesian_const_iterator_d, + typename K::Construct_cartesian_const_iterator_d > Traits_base; +typedef CGAL::Euclidean_distance Euclidean_distance; +typedef CGAL::Search_traits_adapter< std::ptrdiff_t, + Point_d*, + Traits_base> STraits; +typedef CGAL::Distance_adapter< std::ptrdiff_t, + Point_d*, + Euclidean_distance > Distance_adapter; +typedef CGAL::Orthogonal_incremental_neighbor_search< STraits, + Distance_adapter > Neighbor_search; + typedef CGAL::Orthogonal_k_neighbor_search< STraits > Neighbor_search2; +typedef Neighbor_search::Tree Tree; + + + /** \brief Landmark choice strategy by taking random vertices for landmarks. + * \details It chooses nbL distinct landmarks from a random access range `points` + * and outputs a matrix {witness}*{closest landmarks} in knn. + */ + template + void landmark_choice_by_random_knn(Point_random_access_range const & points, + int nbL, + FT alpha, + unsigned limD, + KNearestNeighbours & knn, + Distance_matrix & distances) { + int nbP = points.end() - points.begin(); + assert(nbP >= nbL); + std::vector landmarks; + std::vector landmarks_ind; + Point_d p; + int chosen_landmark; + CGAL::Random rand; + // TODO(SK) Consider using rand_r(...) instead of rand(...) for improved thread safety + int current_number_of_landmarks = 0; // counter for landmarks + for (; current_number_of_landmarks != nbL; current_number_of_landmarks++) { + do chosen_landmark = rand.get_int(0,nbP); + while (std::find(landmarks_ind.begin(), landmarks_ind.end(), chosen_landmark) != landmarks_ind.end()); + p = points[chosen_landmark]; + landmarks.push_back(p); + landmarks_ind.push_back(chosen_landmark); + } + // std::cout << "Choice finished!" << std::endl; + + //int dim = points.begin()->size(); + knn = KNearestNeighbours(nbP); + distances = Distance_matrix(nbP); + STraits traits(&(landmarks[0])); + CGAL::Distance_adapter adapter(&(landmarks[0])); + Euclidean_distance ed; + Tree landmark_tree(boost::counting_iterator(0), + boost::counting_iterator(nbL), + typename Tree::Splitter(), + traits); + for (int points_i = 0; points_i < nbP; points_i++) { + Point_d const & w = points[points_i]; + Neighbor_search search(landmark_tree, + w, + FT(0), + true, + adapter); + Neighbor_search::iterator search_it = search.begin(); + // Neighbor_search2 search(landmark_tree, + // w, limD+1, + // FT(0), + // true, + // adapter); + // Neighbor_search2::iterator search_it = search.begin(); + + while (knn[points_i].size() < limD) { + distances[points_i].push_back(sqrt(search_it->second)); + knn[points_i].push_back((search_it++)->first); + } + FT dtow = distances[points_i][limD-1]; + + if (alpha != 0) + while (search_it != search.end() && search_it->second < dtow + alpha) { + distances[points_i].push_back(sqrt(search_it->second)); + knn[points_i].push_back((search_it++)->first); + } + std::cout << "k = " << knn[points_i].size() << std::endl; + } + } + +} // namespace witness_complex + +} // namespace Gudhi + +#endif // LANDMARK_CHOICE_BY_RANDOM_POINT_H_ diff --git a/src/Witness_complex/example/Landmark_choice_sparsification.h b/src/Witness_complex/example/Landmark_choice_sparsification.h new file mode 100644 index 00000000..1052b0c4 --- /dev/null +++ b/src/Witness_complex/example/Landmark_choice_sparsification.h @@ -0,0 +1,230 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#ifndef LANDMARK_CHOICE_BY_SPARSIFICATION_H_ +#define LANDMARK_CHOICE_BY_SPARSIFICATION_H_ + +#include // for pair<> +#include +#include // for ptrdiff_t type +#include + +//#include +#include +#include +//#include +#include +#include +#include +#include +#include +//#include +#include +#include + +namespace Gudhi { + +namespace witness_complex { + + typedef CGAL::Epick_d K; + typedef K::FT FT; + typedef K::Point_d Point_d; + typedef CGAL::Search_traits< FT, + Point_d, + typename K::Cartesian_const_iterator_d, + typename K::Construct_cartesian_const_iterator_d > Traits_base; + typedef CGAL::Euclidean_distance Euclidean_distance; + typedef CGAL::Search_traits_adapter< std::ptrdiff_t, + Point_d*, + Traits_base> STraits; + typedef CGAL::Distance_adapter< std::ptrdiff_t, + Point_d*, + Euclidean_distance > Distance_adapter; + typedef CGAL::Orthogonal_incremental_neighbor_search< STraits, + Distance_adapter > Neighbor_search; + typedef CGAL::Orthogonal_k_neighbor_search< STraits > Neighbor_search2; + typedef Neighbor_search::Tree Tree; + typedef CGAL::Fuzzy_sphere Fuzzy_sphere; + + /** \brief Landmark selection function by as a sub-epsilon-net of the + * given set of points. + */ + template + void landmark_choice_by_sparsification(Point_random_access_range & points, + unsigned nbL, + FT mu_epsilon, + Point_random_access_range & landmarks) + { + int nbP = points.end() - points.begin(); + assert(nbP >= nbL); + CGAL::Random rand; + // TODO(SK) Consider using rand_r(...) instead of rand(...) for improved thread safety + STraits points_traits(&(points[0])); + CGAL::Distance_adapter points_adapter(&(points[0])); + std::vector dropped_points(nbP, false); + + Tree witness_tree(boost::counting_iterator(0), + boost::counting_iterator(nbP), + typename Tree::Splitter(), + points_traits); + + for (int points_i = 0; points_i < nbP; points_i++) { + if (dropped_points[points_i]) + continue; + Point_d & w = points[points_i]; + Fuzzy_sphere fs(w, mu_epsilon, 0, points_traits); + std::vector close_neighbors; + witness_tree.search(std::insert_iterator>(close_neighbors,close_neighbors.begin()),fs); + for (int i: close_neighbors) + dropped_points[i] = true; + } + + for (int points_i = 0; points_i < nbP; points_i++) { + if (dropped_points[points_i]) + landmarks.push_back(points[points_i]); + } + + if (nbL < landmarks.size()) { + std::random_shuffle(landmarks.begin(), landmarks.end()); + landmarks.resize(nbL); + } + } + + + + + /** \brief Landmark choice strategy by taking random vertices for landmarks. + * \details It chooses nbL distinct landmarks from a random access range `points` + * and outputs a matrix {witness}*{closest landmarks} in knn. + */ + template + void build_distance_matrix(Point_random_access_range const & points, + Point_random_access_range & landmarks, + FT alpha, + unsigned limD, + KNearestNeighbours & knn, + Distance_matrix & distances) + { + int nbP = points.end() - points.begin(); + knn = KNearestNeighbours(nbP); + distances = Distance_matrix(nbP); + STraits traits(&(landmarks[0])); + CGAL::Distance_adapter adapter(&(landmarks[0])); + Euclidean_distance ed; + Tree landmark_tree(boost::counting_iterator(0), + boost::counting_iterator(landmarks.size()), + typename Tree::Splitter(), + traits); + for (int points_i = 0; points_i < nbP; points_i++) { + Point_d const & w = points[points_i]; + Neighbor_search search(landmark_tree, + w, + FT(0), + true, + adapter); + Neighbor_search::iterator search_it = search.begin(); + // Neighbor_search2 search(landmark_tree, + // w, limD+1, + // FT(0), + // true, + // adapter); + // Neighbor_search2::iterator search_it = search.begin(); + + while (knn[points_i].size() <= limD) { + distances[points_i].push_back(search_it->second); //!sq_dist + knn[points_i].push_back((search_it++)->first); + } + FT dtow = distances[points_i][limD]; + + while (search_it != search.end() && search_it->second < dtow + alpha) { + distances[points_i].push_back(search_it->second); + knn[points_i].push_back((search_it++)->first); + } + //std::cout << "k = " << knn[points_i].size() << std::endl; + } + } + + /* + template + std::vector + sparsify_point_set(const Kernel &k, + Point_container const& input_pts, + typename Kernel::FT min_squared_dist) + { + typedef typename CGAL::Tangential_complex_::Point_cloud_data_structure Points_ds; + typedef typename Points_ds::INS_iterator INS_iterator; + typedef typename Points_ds::INS_range INS_range; + + typename Kernel::Squared_distance_d sqdist = k.squared_distance_d_object(); + + // Create the output container + std::vector output; + + Points_ds points_ds(input_pts); + + std::vector dropped_points(input_pts.size(), false); + + // Parse the input points, and add them if they are not too close to + // the other points + std::size_t pt_idx = 0; + for (typename Point_container::const_iterator it_pt = input_pts.begin() ; + it_pt != input_pts.end(); + ++it_pt, ++pt_idx) + { + if (dropped_points[pt_idx]) + continue; + + output.push_back(*it_pt); + + INS_range ins_range = points_ds.query_incremental_ANN(*it_pt); + + // If another point Q is closer that min_squared_dist, mark Q to be dropped + for (INS_iterator nn_it = ins_range.begin() ; + nn_it != ins_range.end() ; + ++nn_it) + { + std::size_t neighbor_point_idx = nn_it->first; + // If the neighbor is too close, we drop the neighbor + if (nn_it->second < min_squared_dist) + { + // N.B.: If neighbor_point_idx < pt_idx, + // dropped_points[neighbor_point_idx] is already true but adding a + // test doesn't make things faster, so why bother? + dropped_points[neighbor_point_idx] = true; + } + else + break; + } + } + + return output; +} + */ + + +} // namespace witness_complex + +} // namespace Gudhi + +#endif // LANDMARK_CHOICE_BY_RANDOM_POINT_H_ diff --git a/src/Witness_complex/example/a0_persistence.cpp b/src/Witness_complex/example/a0_persistence.cpp new file mode 100644 index 00000000..295c7115 --- /dev/null +++ b/src/Witness_complex/example/a0_persistence.cpp @@ -0,0 +1,632 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2016 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#include +#include +#include +#include +#include +#include +#include "Landmark_choice_random_knn.h" +#include "Landmark_choice_sparsification.h" + +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include + +#include "generators.h" +#include "output.h" +#include "output_tikz.h" + +using namespace Gudhi; +using namespace Gudhi::witness_complex; +using namespace Gudhi::persistent_cohomology; + +typedef std::vector Point_Vector; +typedef A0_complex< Simplex_tree<> > A0Complex; +typedef Simplex_tree<>::Simplex_handle Simplex_handle; + +typedef A0_complex< Simplex_tree<> > SRWit; +typedef Relaxed_witness_complex< Simplex_tree<> > WRWit; + +/** + * \brief Customized version of read_points + * which takes into account a possible nbP first line + * + */ +inline void +read_points_cust(std::string file_name, std::vector< std::vector< double > > & points) { + std::ifstream in_file(file_name.c_str(), std::ios::in); + if (!in_file.is_open()) { + std::cerr << "Unable to open file " << file_name << std::endl; + return; + } + std::string line; + double x; + while (getline(in_file, line)) { + std::vector< double > point; + std::istringstream iss(line); + while (iss >> x) { + point.push_back(x); + } + if (point.size() != 1) + points.push_back(point); + } + in_file.close(); +} + +void output_experiment_information(char * const file_name) +{ + std::cout << "Enter a valid experiment number. Usage: " + << file_name << " exp_no options\n"; + std::cout << "Experiment description:\n" + << "0 nbP nbL dim alpha limD mu_epsilon: " + << "Build persistence diagram on relaxed witness complex " + << "built from a point cloud on (dim-1)-dimensional sphere " + << "consisting of nbP witnesses and nbL landmarks. " + << "The maximal relaxation is alpha and the limit on simplicial complex " + << "dimension is limD.\n"; + std::cout << "1 file_name nbL alpha limD: " + << "Build persistence diagram on relaxed witness complex " + << "build from a point cloud stored in a file and nbL landmarks. " + << "The maximal relaxation is alpha and the limit on simplicial complex dimension is limD\n"; +} + +void rw_experiment(Point_Vector & point_vector, int nbL, FT alpha2, int limD, FT mu_epsilon = 0.1) +{ + clock_t start, end; + Simplex_tree<> simplex_tree; + + // Choose landmarks + std::vector > knn; + std::vector > distances; + start = clock(); + //Gudhi::witness_complex::landmark_choice_by_random_knn(point_vector, nbL, alpha, limD, knn, distances); + + std::vector landmarks; + Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); + Gudhi::witness_complex::build_distance_matrix(point_vector, // aka witnesses + landmarks, // aka landmarks + alpha2, + limD, + knn, + distances); + end = clock(); + double time = static_cast(end - start) / CLOCKS_PER_SEC; + std::cout << "Choice of " << nbL << " landmarks took " + << time << " s. \n"; + // Compute witness complex + start = clock(); + A0Complex rw(distances, + knn, + simplex_tree, + nbL, + alpha2, + limD); + end = clock(); + time = static_cast(end - start) / CLOCKS_PER_SEC; + std::cout << "Witness complex for " << nbL << " landmarks took " + << time << " s. \n"; + std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; + //std::cout << simplex_tree << "\n"; + + // Compute the persistence diagram of the complex + simplex_tree.set_dimension(limD); + persistent_cohomology::Persistent_cohomology< Simplex_tree<>, Field_Zp > pcoh(simplex_tree, true); + int p = 3; + pcoh.init_coefficients( p ); //initilizes the coefficient field for homology + start = clock(); + pcoh.compute_persistent_cohomology( alpha2/10 ); + end = clock(); + time = static_cast(end - start) / CLOCKS_PER_SEC; + std::cout << "Persistence diagram took " + << time << " s. \n"; + pcoh.output_diagram(); + + int chi = 0; + for (auto sh: simplex_tree.complex_simplex_range()) + chi += 1-2*(simplex_tree.dimension(sh)%2); + std::cout << "Euler characteristic is " << chi << std::endl; + + // Gudhi::witness_complex::Dim_lists> simplices(simplex_tree, limD); + + // simplices.collapse(); + // simplices.output_simplices(); + + // Simplex_tree<> collapsed_tree; + // for (auto sh: simplices) { + // std::vector vertices; + // for (int v: collapsed_tree.simplex_vertex_range(sh)) + // vertices.push_back(v); + // collapsed_tree.insert_simplex(vertices); + // } + std::vector landmarks_ind(nbL); + for (unsigned i = 0; i != distances.size(); ++i) { + if (distances[i][0] == 0) + landmarks_ind[knn[i][0]] = i; + } + //write_witness_mesh(point_vector, landmarks_ind, simplex_tree, simplices, false, true); + write_witness_mesh(point_vector, landmarks_ind, simplex_tree, simplex_tree.complex_simplex_range(), false, true, "witness_before_collapse.mesh"); + + // collapsed_tree.set_dimension(limD); + // persistent_cohomology::Persistent_cohomology< Simplex_tree<>, Field_Zp > pcoh2(collapsed_tree, true); + // pcoh2.init_coefficients( p ); //initilizes the coefficient field for homology + // pcoh2.compute_persistent_cohomology( alpha2/10 ); + // pcoh2.output_diagram(); + + // chi = 0; + // for (auto sh: simplices) + // chi += 1-2*(simplex_tree.dimension(sh)%2); + // std::cout << "Euler characteristic is " << chi << std::endl; + // write_witness_mesh(point_vector, landmarks_ind, collapsed_tree, collapsed_tree.complex_simplex_range(), false, true, "witness_after_collapse.mesh"); +} + +void rips_experiment(Point_Vector & points, double threshold, int dim_max) +{ + typedef std::vector Point_t; + typedef Simplex_tree ST; + clock_t start, end; + ST st; + + // Compute the proximity graph of the points + start = clock(); + Graph_t prox_graph = compute_proximity_graph(points, threshold + , euclidean_distance); + // Construct the Rips complex in a Simplex Tree + // insert the proximity graph in the simplex tree + st.insert_graph(prox_graph); + // expand the graph until dimension dim_max + st.expansion(dim_max); + end = clock(); + + double time = static_cast(end - start) / CLOCKS_PER_SEC; + std::cout << "Rips complex took " + << time << " s. \n"; + std::cout << "The complex contains " << st.num_simplices() << " simplices \n"; + //std::cout << " and has dimension " << st.dimension() << " \n"; + + // Sort the simplices in the order of the filtration + st.initialize_filtration(); + + // Compute the persistence diagram of the complex + persistent_cohomology::Persistent_cohomology pcoh(st); + // initializes the coefficient field for homology + int p = 3; + double min_persistence = -1; //threshold/5; + pcoh.init_coefficients(p); + pcoh.compute_persistent_cohomology(min_persistence); + pcoh.output_diagram(); +} + + +int experiment0 (int argc, char * const argv[]) +{ + if (argc != 8) { + std::cerr << "Usage: " << argv[0] + << " 0 nbP nbL dim alpha limD mu_epsilon\n"; + return 0; + } + /* + boost::filesystem::path p; + for (; argc > 2; --argc, ++argv) + p /= argv[1]; + */ + + int nbP = atoi(argv[2]); + int nbL = atoi(argv[3]); + int dim = atoi(argv[4]); + double alpha = atof(argv[5]); + int limD = atoi(argv[6]); + double mu_epsilon = atof(argv[7]); + + // Read the point file + Point_Vector point_vector; + generate_points_sphere(point_vector, nbP, dim); + std::cout << "Successfully generated " << point_vector.size() << " points.\n"; + std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; + + rw_experiment(point_vector, nbL, alpha, limD); + return 0; +} + +// int experiment1 (int argc, char * const argv[]) +// { +// if (argc != 3) { +// std::cerr << "Usage: " << argv[0] +// << " 1 file_name\n"; +// return 0; +// } +// /* +// boost::filesystem::path p; +// for (; argc > 2; --argc, ++argv) +// p /= argv[1]; +// */ + +// std::string file_name = argv[2]; + +// // Read the point file +// Point_Vector point_vector; +// read_points_cust(file_name, point_vector); +// std::cout << "The file contains " << point_vector.size() << " points.\n"; +// std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; + +// bool ok = false; +// int nbL, limD; +// double alpha; +// while (!ok) { +// std::cout << "Relaxed witness complex: parameters nbL, alpha, limD.\n"; +// std::cout << "Enter nbL: "; +// std::cin >> nbL; +// std::cout << "Enter alpha: "; +// std::cin >> alpha; +// std::cout << "Enter limD: "; +// std::cin >> limD; +// std::cout << "Start relaxed witness complex...\n"; +// rw_experiment(point_vector, nbL, alpha, limD); +// std::cout << "Is the result correct? [y/n]: "; +// char answer; +// std::cin >> answer; +// switch (answer) { +// case 'n': +// ok = false; break; +// default : +// ok = true; break; +// } +// } +// // ok = false; +// // while (!ok) { +// // std::cout << "Rips complex: parameters threshold, limD.\n"; +// // std::cout << "Enter threshold: "; +// // std::cin >> alpha; +// // std::cout << "Enter limD: "; +// // std::cin >> limD; +// // std::cout << "Start Rips complex...\n"; +// // rips_experiment(point_vector, alpha, limD); +// // std::cout << "Is the result correct? [y/n]: "; +// // char answer; +// // std::cin >> answer; +// // switch (answer) { +// // case 'n': +// // ok = false; break; +// // default : +// // ok = true; break; +// // } +// // } +// return 0; +// } + +int experiment1 (int argc, char * const argv[]) +{ + if (argc != 8) { + std::cerr << "Usage: " << argv[0] + << " 1 file_name nbL alpha mu_epsilon limD experiment_name\n"; + return 0; + } + /* + boost::filesystem::path p; + for (; argc > 2; --argc, ++argv) + p /= argv[1]; + */ + + std::string file_name = argv[2]; + int nbL = atoi(argv[3]), limD = atoi(argv[6]); + double alpha2 = atof(argv[4]), mu_epsilon = atof(argv[5]); + std::string experiment_name = argv[7]; + + // Read the point file + Point_Vector point_vector; + read_points_cust(file_name, point_vector); + std::cout << "The file contains " << point_vector.size() << " points.\n"; + std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; + + Simplex_tree<> simplex_tree; + std::vector > knn; + std::vector > distances; + std::vector landmarks; + Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); + Gudhi::witness_complex::build_distance_matrix(point_vector, // aka witnesses + landmarks, // aka landmarks + alpha2, + limD, + knn, + distances); + + rw_experiment(point_vector, nbL, alpha2, limD, mu_epsilon); + + // ok = false; + // while (!ok) { + // std::cout << "Rips complex: parameters threshold, limD.\n"; + // std::cout << "Enter threshold: "; + // std::cin >> alpha; + // std::cout << "Enter limD: "; + // std::cin >> limD; + // std::cout << "Start Rips complex...\n"; + // rips_experiment(point_vector, alpha, limD); + // std::cout << "Is the result correct? [y/n]: "; + // char answer; + // std::cin >> answer; + // switch (answer) { + // case 'n': + // ok = false; break; + // default : + // ok = true; break; + // } + // } + return 0; +} + + +/******************************************************************************************** + * Length of the good interval experiment + *******************************************************************************************/ + +struct Pers_endpoint { + double alpha; + bool start; + int dim; + Pers_endpoint(double alpha_, bool start_, int dim_) + : alpha(alpha_), start(start_), dim(dim_) + {} +}; + +/* +struct less_than_key { + inline bool operator() (const MyStruct& struct1, const MyStruct& struct2) { + return (struct1.key < struct2.key); + } +}; +*/ + +double good_interval_length(const std::vector & desired_homology, Simplex_tree<> & simplex_tree, double alpha2) +{ + int nbL = simplex_tree.num_vertices(); + int p = 3; + persistent_cohomology::Persistent_cohomology< Simplex_tree<>, Field_Zp > pcoh(simplex_tree, true); + pcoh.init_coefficients( p ); //initilizes the coefficient field for homology + pcoh.compute_persistent_cohomology( -1 ); + std::ofstream out_stream("pers_diag.tmp"); + pcoh.output_diagram(out_stream); + out_stream.close(); + std::ifstream in_stream("pers_diag.tmp", std::ios::in); + std::string line; + std::vector pers_endpoints; + while (getline(in_stream, line)) { + int p, dim; + double alpha_start, alpha_end; + std::istringstream iss(line); + iss >> p >> dim >> alpha_start >> alpha_end; + if (alpha_start != alpha_end) { + if (alpha_end < alpha_start) + alpha_end = alpha2; + pers_endpoints.push_back(Pers_endpoint(alpha_start, true, dim)); + pers_endpoints.push_back(Pers_endpoint(alpha_end, false, dim)); + } + } + std::cout << "Pers_endpoints.size = " << pers_endpoints.size() << std::endl; + in_stream.close(); + std::sort(pers_endpoints.begin(), + pers_endpoints.end(), + [](const Pers_endpoint & p1, const Pers_endpoint & p2){ + return p1.alpha < p2.alpha;} + ); + write_barcodes("pers_diag.tmp", alpha2); + /* + for (auto p: pers_endpoints) { + std::cout << p.alpha << " " << p.dim << " " << p.start << "\n"; + } + */ + std::vector current_homology(nbL-1,0); + current_homology[0] = 1; // for the compulsary "0 0 inf" entry + double good_start = 0, good_end = 0; + double sum_intervals = 0; + int num_pieces = 0; + bool interval_in_process = (desired_homology == current_homology); + for (auto p: pers_endpoints) { + /* + std::cout << "Treating " << p.alpha << " " << p.dim << " " << p.start + << " ["; + for (int v: current_homology) + std::cout << v << " "; + std::cout << "]\n"; + */ + if (p.start) + current_homology[p.dim]++; + else + current_homology[p.dim]--; + if (interval_in_process) { + good_end = p.alpha; + sum_intervals += good_end - good_start; + std::cout << "good_start = " << good_start + << ", good_end = " << good_end << "\n"; + + Gudhi::witness_complex::Dim_lists> simplices(simplex_tree, nbL-1, (good_end - good_start)/2); + simplices.collapse(); + simplices.output_simplices(); + interval_in_process = false; + //break; + } + else if (desired_homology == current_homology) { + interval_in_process = true; + good_start = p.alpha; + num_pieces++; + } + } + std::cout << "Number of good homology intervals: " << num_pieces << "\n"; + return sum_intervals; +} + +void run_comparison(std::vector > const & knn, + std::vector > const & distances, + unsigned nbL, + double alpha2, + std::vector& desired_homology) +{ + clock_t start, end; + Simplex_tree<> simplex_tree; + + start = clock(); + SRWit srwit(distances, + knn, + simplex_tree, + nbL, + alpha2, + nbL-1); + end = clock(); + std::cout << "SRWit.size = " << simplex_tree.num_simplices() << std::endl; + simplex_tree.set_dimension(nbL-1); + + std::cout << "Good homology interval length for SRWit is " + << good_interval_length(desired_homology, simplex_tree, alpha2) << "\n"; + std::cout << "Time: " << static_cast(end - start) / CLOCKS_PER_SEC << " s. \n"; + + /* + Simplex_tree<> simplex_tree2; + start = clock(); + WRWit wrwit(distances, + knn, + simplex_tree2, + nbL, + alpha2, + nbL-1); + end = clock(); + std::cout << "WRWit.size = " << simplex_tree2.num_simplices() << std::endl; + simplex_tree.set_dimension(nbL-1); + + std::cout << "Good homology interval length for WRWit is " + << good_interval_length(desired_homology, simplex_tree2, alpha2) << "\n"; + std::cout << "Time: " << static_cast(end - start) / CLOCKS_PER_SEC << " s. \n"; + */ +} + +int experiment2(int argc, char * const argv[]) +{ + for (unsigned d = 2; d < 2; d++) { + // Sphere S^d + Point_Vector point_vector; + unsigned N = 1; + double alpha2 = 2.4 - 0.4*d; + switch (d) { + case 1: alpha2 = 2.2; break; + case 2: alpha2 = 1.8; break; + case 3: alpha2 = 1.5; break; + case 4: alpha2 = 1.4; break; + default: alpha2 = 1.4; break; + } + std::cout << "alpha2 = " << alpha2 << "\n"; + unsigned nbL = 20; + std::vector desired_homology(nbL-1,0); + desired_homology[0] = 1; desired_homology[d] = 1; + + + for (unsigned i = 1; i <= N; ++i) { + unsigned nbW = 1000*i;//, nbL = 20; + double mu_epsilon = 1/sqrt(nbL); + std::cout << "Running test S"<< d <<", |W|=" << nbW << ", |L|=" << nbL << std::endl; + generate_points_sphere(point_vector, i*1000, d+1); + std::vector landmarks; + Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); + + std::vector > knn; + std::vector > distances; + + std::cout << "|L| after sparsification: " << landmarks.size() << "\n"; + Gudhi::witness_complex::build_distance_matrix(point_vector, // aka witnesses + landmarks, // aka landmarks + alpha2, + nbL-1, + knn, + distances); + run_comparison(knn, distances, nbL, alpha2, desired_homology); + } + } + { + // SO(3) + Point_Vector point_vector; + double alpha2 = 0.6; + std::cout << "alpha2 = " << alpha2 << "\n"; + unsigned nbL = 150; + std::vector desired_homology(nbL-1,0); + desired_homology[0] = 1; desired_homology[1] = 1; desired_homology[2] = 1; //Kl + // desired_homology[0] = 1; desired_homology[3] = 1; //SO3 + + double mu_epsilon = 1/sqrt(nbL); + if (argc < 3) std::cerr << "No file name indicated!\n"; + read_points_cust(argv[2], point_vector); + int nbW = point_vector.size(); + std::cout << "Running test SO(3), |W|=" << nbW << ", |L|=" << nbL << std::endl; + std::vector landmarks; + Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); + + std::vector > knn; + std::vector > distances; + + std::cout << "|L| after sparsification: " << landmarks.size() << "\n"; + Gudhi::witness_complex::build_distance_matrix(point_vector, // aka witnesses + landmarks, // aka landmarks + alpha2, + nbL-1, + knn, + distances); + run_comparison(knn, distances, nbL, alpha2, desired_homology); + } + return 0; +} + +int experiment3(int argc, char * const argv[]) +{ + // COLLAPSES EXPERIMENT + + return 0; +} + +int main (int argc, char * const argv[]) +{ + if (argc == 1) { + output_experiment_information(argv[0]); + return 1; + } + switch (atoi(argv[1])) { + case 0 : + return experiment0(argc, argv); + break; + case 1 : + return experiment1(argc, argv); + break; + case 2 : + return experiment2(argc, argv); + break; + default : + output_experiment_information(argv[0]); + return 1; + } +} diff --git a/src/Witness_complex/example/bench_rwit.cpp b/src/Witness_complex/example/bench_rwit.cpp new file mode 100644 index 00000000..f83f9f42 --- /dev/null +++ b/src/Witness_complex/example/bench_rwit.cpp @@ -0,0 +1,616 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2016 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#include +#include +#include +#include +#include +#include +#include "Landmark_choice_random_knn.h" +#include "Landmark_choice_sparsification.h" + +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include + +#include "generators.h" +#include "output.h" +#include "output_tikz.h" + +using namespace Gudhi; +using namespace Gudhi::witness_complex; +using namespace Gudhi::persistent_cohomology; + +typedef std::vector Point_Vector; +typedef Simplex_tree STree; +//typedef Simplex_tree<> STree; +typedef A0_complex< STree> A0Complex; +typedef STree::Simplex_handle Simplex_handle; + +typedef A0_complex< STree > SRWit; +typedef Relaxed_witness_complex< STree > WRWit; + +/** + * \brief Customized version of read_points + * which takes into account a possible nbP first line + * + */ +inline void +read_points_cust(std::string file_name, std::vector< std::vector< double > > & points) { + std::ifstream in_file(file_name.c_str(), std::ios::in); + if (!in_file.is_open()) { + std::cerr << "Unable to open file " << file_name << std::endl; + return; + } + std::string line; + double x; + while (getline(in_file, line)) { + std::vector< double > point; + std::istringstream iss(line); + while (iss >> x) { + point.push_back(x); + } + if (point.size() != 1) + points.push_back(point); + } + in_file.close(); +} + +void rips(Point_Vector & points, double alpha2, int dim_max, STree& st) +{ + Graph_t prox_graph = compute_proximity_graph(points, sqrt(alpha2) + , euclidean_distance >); + // Construct the Rips complex in a Simplex Tree + // insert the proximity graph in the simplex tree + st.insert_graph(prox_graph); + // expand the graph until dimension dim_max + st.expansion(dim_max); +} + +void output_experiment_information(char * const file_name) +{ + std::cout << "Enter a valid experiment number. Usage: " + << file_name << " exp_no options\n"; + std::cout << "Experiment description:\n" + << "0 nbP nbL dim alpha limD mu_epsilon: " + << "Build persistence diagram on relaxed witness complex " + << "built from a point cloud on (dim-1)-dimensional sphere " + << "consisting of nbP witnesses and nbL landmarks. " + << "The maximal relaxation is alpha and the limit on simplicial complex " + << "dimension is limD.\n"; + std::cout << "1 file_name nbL alpha limD: " + << "Build persistence diagram on relaxed witness complex " + << "build from a point cloud stored in a file and nbL landmarks. " + << "The maximal relaxation is alpha and the limit on simplicial complex dimension is limD\n"; +} + +void rw_experiment(Point_Vector & point_vector, int nbL, FT alpha2, int limD, FT mu_epsilon = 0.1, + std::string mesh_filename = "witness") +{ + clock_t start, end; + STree simplex_tree; + + // Choose landmarks + std::vector > knn; + std::vector > distances; + start = clock(); + //Gudhi::witness_complex::landmark_choice_by_random_knn(point_vector, nbL, alpha, limD, knn, distances); + + std::vector landmarks; + Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); + Gudhi::witness_complex::build_distance_matrix(point_vector, // aka witnesses + landmarks, // aka landmarks + alpha2, + limD, + knn, + distances); + end = clock(); + double time = static_cast(end - start) / CLOCKS_PER_SEC; + std::cout << "Choice of " << nbL << " landmarks took " + << time << " s. \n"; + // Compute witness complex + start = clock(); + A0Complex rw(distances, + knn, + simplex_tree, + nbL, + alpha2, + limD); + end = clock(); + time = static_cast(end - start) / CLOCKS_PER_SEC; + std::cout << "Witness complex for " << nbL << " landmarks took " + << time << " s. \n"; + std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; + //std::cout << simplex_tree << "\n"; + + // Compute the persistence diagram of the complex + simplex_tree.set_dimension(limD); + persistent_cohomology::Persistent_cohomology< STree, Field_Zp > pcoh(simplex_tree, true); + int p = 3; + pcoh.init_coefficients( p ); //initilizes the coefficient field for homology + start = clock(); + pcoh.compute_persistent_cohomology( alpha2/10 ); + end = clock(); + time = static_cast(end - start) / CLOCKS_PER_SEC; + std::cout << "Persistence diagram took " + << time << " s. \n"; + pcoh.output_diagram(); + + int chi = 0; + for (auto sh: simplex_tree.complex_simplex_range()) + chi += 1-2*(simplex_tree.dimension(sh)%2); + std::cout << "Euler characteristic is " << chi << std::endl; + + Gudhi::witness_complex::Dim_lists simplices(simplex_tree, limD); + + // std::vector simplices; + simplices.collapse(); + simplices.output_simplices(); + + STree collapsed_tree; + for (auto sh: simplices) { + std::vector vertices; + for (int v: collapsed_tree.simplex_vertex_range(sh)) + vertices.push_back(v); + collapsed_tree.insert_simplex(vertices); + } + std::vector landmarks_ind(nbL); + for (unsigned i = 0; i != distances.size(); ++i) { + if (distances[i][0] == 0) + landmarks_ind[knn[i][0]] = i; + } + //write_witness_mesh(point_vector, landmarks_ind, simplex_tree, simplices, false, true); + write_witness_mesh(point_vector, landmarks_ind, simplex_tree, simplex_tree.complex_simplex_range(), false, true, mesh_filename+"_before_collapse.mesh"); + + collapsed_tree.set_dimension(limD); + persistent_cohomology::Persistent_cohomology< STree, Field_Zp > pcoh2(collapsed_tree, true); + pcoh2.init_coefficients( p ); //initilizes the coefficient field for homology + pcoh2.compute_persistent_cohomology( alpha2/10 ); + pcoh2.output_diagram(); + + chi = 0; + for (auto sh: simplices) + chi += 1-2*(simplex_tree.dimension(sh)%2); + std::cout << "Euler characteristic is " << chi << std::endl; + write_witness_mesh(point_vector, landmarks_ind, collapsed_tree, collapsed_tree.complex_simplex_range(), false, true, mesh_filename+"_after_collapse.mesh"); +} + +void rips_experiment(Point_Vector & points, double threshold, int dim_max) +{ + typedef STree ST; + clock_t start, end; + ST st; + + // Compute the proximity graph of the points + start = clock(); + rips(points, threshold, dim_max, st); + end = clock(); + + double time = static_cast(end - start) / CLOCKS_PER_SEC; + std::cout << "Rips complex took " + << time << " s. \n"; + std::cout << "The complex contains " << st.num_simplices() << " simplices \n"; + //std::cout << " and has dimension " << st.dimension() << " \n"; + + // Sort the simplices in the order of the filtration + st.initialize_filtration(); + + // Compute the persistence diagram of the complex + persistent_cohomology::Persistent_cohomology pcoh(st); + // initializes the coefficient field for homology + int p = 3; + double min_persistence = -1; //threshold/5; + pcoh.init_coefficients(p); + pcoh.compute_persistent_cohomology(min_persistence); + pcoh.output_diagram(); +} + + +int experiment0 (int argc, char * const argv[]) +{ + if (argc != 8) { + std::cerr << "Usage: " << argv[0] + << " 0 nbP nbL dim alpha limD mu_epsilon\n"; + return 0; + } + /* + boost::filesystem::path p; + for (; argc > 2; --argc, ++argv) + p /= argv[1]; + */ + + int nbP = atoi(argv[2]); + int nbL = atoi(argv[3]); + int dim = atoi(argv[4]); + double alpha = atof(argv[5]); + int limD = atoi(argv[6]); + double mu_epsilon = atof(argv[7]); + + // Read the point file + Point_Vector point_vector; + generate_points_sphere(point_vector, nbP, dim); + std::cout << "Successfully generated " << point_vector.size() << " points.\n"; + std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; + + rw_experiment(point_vector, nbL, alpha, limD); + return 0; +} + +int experiment1 (int argc, char * const argv[]) +{ + if (argc != 8) { + std::cerr << "Usage: " << argv[0] + << " 1 file_name nbL alpha mu_epsilon limD experiment_name\n"; + return 0; + } + /* + boost::filesystem::path p; + for (; argc > 2; --argc, ++argv) + p /= argv[1]; + */ + + std::string file_name = argv[2]; + int nbL = atoi(argv[3]), limD = atoi(argv[6]); + double alpha2 = atof(argv[4]), mu_epsilon = atof(argv[5]); + std::string experiment_name = argv[7]; + + // Read the point file + Point_Vector point_vector; + read_points_cust(file_name, point_vector); + std::cout << "The file contains " << point_vector.size() << " points.\n"; + std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; + + STree simplex_tree; + std::vector > knn; + std::vector > distances; + std::vector landmarks; + Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); + Gudhi::witness_complex::build_distance_matrix(point_vector, // aka witnesses + landmarks, // aka landmarks + alpha2, + limD, + knn, + distances); + WRWit rw(distances, + knn, + simplex_tree, + nbL, + 0, + limD); + std::vector landmarks_ind(nbL); + for (unsigned i = 0; i != distances.size(); ++i) { + if (distances[i][0] == 0) + landmarks_ind[knn[i][0]] = i; + } + + write_witness_mesh(point_vector, landmarks_ind, simplex_tree, simplex_tree.complex_simplex_range(), false, true, experiment_name+"_witness_complex.mesh"); + + int chi = 0; + for (auto sh: simplex_tree.complex_simplex_range()) + chi += 1-2*(simplex_tree.dimension(sh)%2); + std::cout << "Euler characteristic is " << chi << std::endl; + + rw_experiment(point_vector, nbL, alpha2, limD, mu_epsilon, experiment_name); + + // ok = false; + // while (!ok) { + // std::cout << "Rips complex: parameters threshold, limD.\n"; + // std::cout << "Enter threshold: "; + // std::cin >> alpha; + // std::cout << "Enter limD: "; + // std::cin >> limD; + // std::cout << "Start Rips complex...\n"; + // rips_experiment(point_vector, alpha, limD); + // std::cout << "Is the result correct? [y/n]: "; + // char answer; + // std::cin >> answer; + // switch (answer) { + // case 'n': + // ok = false; break; + // default : + // ok = true; break; + // } + // } + return 0; +} + +/******************************************************************************************** + * Length of the good interval experiment + *******************************************************************************************/ + +struct Pers_endpoint { + double alpha; + bool start; + int dim; + Pers_endpoint(double alpha_, bool start_, int dim_) + : alpha(alpha_), start(start_), dim(dim_) + {} +}; + +/* +struct less_than_key { + inline bool operator() (const MyStruct& struct1, const MyStruct& struct2) { + return (struct1.key < struct2.key); + } +}; +*/ + +double good_interval_length(const std::vector & desired_homology, STree & simplex_tree, double alpha2) +{ + int nbL = simplex_tree.num_vertices(); + int p = 3; + persistent_cohomology::Persistent_cohomology< STree, Field_Zp > pcoh(simplex_tree, true); + pcoh.init_coefficients( p ); //initilizes the coefficient field for homology + pcoh.compute_persistent_cohomology( -1 ); + std::ofstream out_stream("pers_diag.tmp"); + pcoh.output_diagram(out_stream); + out_stream.close(); + std::ifstream in_stream("pers_diag.tmp", std::ios::in); + std::string line; + std::vector pers_endpoints; + while (getline(in_stream, line)) { + int p, dim; + double alpha_start, alpha_end; + std::istringstream iss(line); + iss >> p >> dim >> alpha_start >> alpha_end; + if (alpha_start != alpha_end) { + if (alpha_end < alpha_start) + alpha_end = alpha2; + pers_endpoints.push_back(Pers_endpoint(alpha_start, true, dim)); + pers_endpoints.push_back(Pers_endpoint(alpha_end, false, dim)); + } + } + std::cout << "Pers_endpoints.size = " << pers_endpoints.size() << std::endl; + in_stream.close(); + std::sort(pers_endpoints.begin(), + pers_endpoints.end(), + [](const Pers_endpoint & p1, const Pers_endpoint & p2){ + return p1.alpha < p2.alpha;} + ); + write_barcodes("pers_diag.tmp", alpha2); + /* + for (auto p: pers_endpoints) { + std::cout << p.alpha << " " << p.dim << " " << p.start << "\n"; + } + */ + std::vector current_homology(nbL-1,0); + current_homology[0] = 1; // for the compulsary "0 0 inf" entry + double good_start = 0, good_end = 0; + double sum_intervals = 0; + int num_pieces = 0; + bool interval_in_process = (desired_homology == current_homology); + for (auto p: pers_endpoints) { + /* + std::cout << "Treating " << p.alpha << " " << p.dim << " " << p.start + << " ["; + for (int v: current_homology) + std::cout << v << " "; + std::cout << "]\n"; + */ + if (p.start) + current_homology[p.dim]++; + else + current_homology[p.dim]--; + if (interval_in_process) { + good_end = p.alpha; + sum_intervals += good_end - good_start; + std::cout << "good_start = " << good_start + << ", good_end = " << good_end << "\n"; + + Gudhi::witness_complex::Dim_lists simplices(simplex_tree, nbL-1, (good_end - good_start)/2); + //simplices.collapse(); + //simplices.output_simplices(); + interval_in_process = false; + //break; + } + else if (desired_homology == current_homology) { + interval_in_process = true; + good_start = p.alpha; + num_pieces++; + } + } + std::cout << "Number of good homology intervals: " << num_pieces << "\n"; + return sum_intervals; +} + + + +void run_comparison(std::vector > const & knn, + std::vector > const & distances, + Point_Vector & points, + unsigned nbL, + double alpha2, + std::vector& desired_homology) +{ + clock_t start, end; + STree simplex_tree; + + alpha2 = 0.55; + std::cout << "alpha2 = " << alpha2 << "\n"; + start = clock(); + SRWit srwit(distances, + knn, + simplex_tree, + nbL, + alpha2, + nbL-1); + end = clock(); + std::cout << "SRWit.size = " << simplex_tree.num_simplices() << std::endl; + simplex_tree.set_dimension(nbL-1); + + std::cout << "Good homology interval length for SRWit is " + << good_interval_length(desired_homology, simplex_tree, alpha2) << "\n"; + std::cout << "Time: " << static_cast(end - start) / CLOCKS_PER_SEC << " s. \n"; + + STree simplex_tree2; + alpha2 = 0.35; + std::cout << "alpha2 = " << alpha2 << "\n"; + start = clock(); + WRWit wrwit(distances, + knn, + simplex_tree2, + nbL, + alpha2, + nbL-1); + end = clock(); + std::cout << "WRWit.size = " << simplex_tree2.num_simplices() << std::endl; + simplex_tree.set_dimension(nbL-1); + + std::cout << "Good homology interval length for WRWit is " + << good_interval_length(desired_homology, simplex_tree2, alpha2) << "\n"; + std::cout << "Time: " << static_cast(end - start) / CLOCKS_PER_SEC << " s. \n"; + + STree simplex_tree3; + std::cout << "Enter alpha2 for Rips: "; + std::cin >> alpha2; + std::cout << "\n"; + std::cout << "points.size() = " << points.size() << "\n"; + start = clock(); + rips(points, + 0.2, + nbL-1, + simplex_tree3); + end = clock(); + std::cout << "Rips.size = " << simplex_tree3.num_simplices() << std::endl; + simplex_tree.set_dimension(nbL-1); + + std::cout << "Good homology interval length for WRWit is " + << good_interval_length(desired_homology, simplex_tree3, alpha2) << "\n"; + std::cout << "Time: " << static_cast(end - start) / CLOCKS_PER_SEC << " s. \n"; +} + +int experiment2(int argc, char * const argv[]) +{ + for (unsigned d = 3; d < 4; d++) { + // Sphere S^d + Point_Vector point_vector; + unsigned N = 1; + double alpha2 = 2.4 - 0.4*d; + switch (d) { + case 1: alpha2 = 2.2; break; + case 2: alpha2 = 1.7; break; + case 3: alpha2 = 1.5; break; + case 4: alpha2 = 1.4; break; + default: alpha2 = 1.4; break; + } + std::cout << "alpha2 = " << alpha2 << "\n"; + unsigned nbL = 20; + std::vector desired_homology(nbL-1,0); + desired_homology[0] = 1; desired_homology[d] = 1; + + + for (unsigned i = 1; i <= N; ++i) { + unsigned nbW = 1000*i;//, nbL = 20; + double mu_epsilon = 1/sqrt(nbL); + std::cout << "Running test S"<< d <<", |W|=" << nbW << ", |L|=" << nbL << std::endl; + generate_points_sphere(point_vector, i*1000, d+1); + std::vector landmarks; + Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); + + std::vector > knn; + std::vector > distances; + + std::cout << "|L| after sparsification: " << landmarks.size() << "\n"; + Gudhi::witness_complex::build_distance_matrix(point_vector, // aka witnesses + landmarks, // aka landmarks + alpha2, + nbL-1, + knn, + distances); + run_comparison(knn, distances, point_vector, nbL, alpha2, desired_homology); + } + } + /* + { + // SO(3) + Point_Vector point_vector; + double alpha2 = 0.6; + std::cout << "alpha2 = " << alpha2 << "\n"; + unsigned nbL = 150; + std::vector desired_homology(nbL-1,0); + desired_homology[0] = 1; desired_homology[1] = 1; desired_homology[2] = 1; //Kl + // desired_homology[0] = 1; desired_homology[3] = 1; //SO3 + + double mu_epsilon = 1/sqrt(nbL); + if (argc < 3) std::cerr << "No file name indicated!\n"; + read_points_cust(argv[2], point_vector); + int nbW = point_vector.size(); + std::cout << "Running test SO(3), |W|=" << nbW << ", |L|=" << nbL << std::endl; + std::vector landmarks; + Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); + + std::vector > knn; + std::vector > distances; + + std::cout << "|L| after sparsification: " << landmarks.size() << "\n"; + Gudhi::witness_complex::build_distance_matrix(point_vector, // aka witnesses + landmarks, // aka landmarks + alpha2, + nbL-1, + knn, + distances); + run_comparison(knn, distances, point_vector, nbL, alpha2, desired_homology); + } + */ + return 0; +} + +int experiment3(int argc, char * const argv[]) +{ + // COLLAPSES EXPERIMENT + + return 0; +} + +int main (int argc, char * const argv[]) +{ + if (argc == 1) { + output_experiment_information(argv[0]); + return 1; + } + switch (atoi(argv[1])) { + case 0 : + return experiment0(argc, argv); + break; + case 1 : + return experiment1(argc, argv); + break; + case 2 : + return experiment2(argc, argv); + break; + default : + output_experiment_information(argv[0]); + return 1; + } +} diff --git a/src/Witness_complex/example/color-picker.cpp b/src/Witness_complex/example/color-picker.cpp new file mode 100644 index 00000000..fcea033e --- /dev/null +++ b/src/Witness_complex/example/color-picker.cpp @@ -0,0 +1,37 @@ +#include +#include + +struct Color { + double r, g, b; + Color() : r(0), g(0), b(0) { } + Color(double r_, double g_, double b_) + : r(r_), g(g_), b(b_) { } +}; + +// Convert a double in [0,1] to a color +template< typename ColorType > +void double_to_color(double t, ColorType & color) { + assert(t >= 0 && t <= 1); + double s = 1.0/6; + if (t >= 0 && t <= s) + color = ColorType(1, 6*t, 0); + else if (t > s && t <= 2*s) + color = ColorType(1-6*(t-s), 1, 0); + else if (t > 2*s && t <= 3*s) + color = ColorType(0, 1, 6*(t-2*s)); + else if (t > 3*s && t <= 4*s) + color = ColorType(0, 1-6*(t-3*s), 1); + else if (t > 4*s && t <= 5*s) + color = ColorType(6*(t-4*s), 0, 1); + else + color = ColorType(1, 0, 1-6*(t-5*s)); +} + +int main (int argc, char * const argv[]) { + double number_to_convert = 0; + std::cout << "Enter a real number in [0,1]: "; + std::cin >> number_to_convert; + Color color; + double_to_color(number_to_convert, color); + std::cout << "The corresponding color in rgb is: (" << color.r << ", " << color.g << ", " << color.b << ")\n"; +} diff --git a/src/Witness_complex/example/generators.h b/src/Witness_complex/example/generators.h index ac445261..23915546 100644 --- a/src/Witness_complex/example/generators.h +++ b/src/Witness_complex/example/generators.h @@ -144,4 +144,12 @@ void generate_points_sphere(Point_Vector& W, int nbP, int dim) { W.push_back(*rp++); } +/** \brief Generate nbP points on a d-torus + * + */ +void generate_points_torus(Point_Vector& W, int nbP, int dim) { + CGAL::Random_points_on_sphere_d rp(2, 1); + +} + #endif // EXAMPLE_WITNESS_COMPLEX_GENERATORS_H_ diff --git a/src/Witness_complex/example/off_writer.h b/src/Witness_complex/example/off_writer.h new file mode 100644 index 00000000..8cafe9e2 --- /dev/null +++ b/src/Witness_complex/example/off_writer.h @@ -0,0 +1,11 @@ +#ifndef OFF_WRITER_H_ +#define OFF_WRITER_H_ + + +class Off_Writer { + +private: + +} + +#endif diff --git a/src/Witness_complex/example/output.h b/src/Witness_complex/example/output.h new file mode 100644 index 00000000..0e74387a --- /dev/null +++ b/src/Witness_complex/example/output.h @@ -0,0 +1,305 @@ +#ifndef OUTPUT_H +#define OUTPUT_H + +#include +#include +#include + +#include + +#include +#include + +//typename Gudhi::Witness_complex<> Witness_complex; + +typedef CGAL::Epick_d K; +typedef K::Point_d Point_d; +typedef std::vector Point_Vector; +typedef CGAL::Delaunay_triangulation Delaunay_triangulation; + +/** \brief Write the table of the nearest landmarks to each witness + * to a file. + */ +template +void write_wl( std::string file_name, std::vector< std::vector > & WL) +{ + std::ofstream ofs (file_name, std::ofstream::out); + for (auto w : WL) + { + for (auto l: w) + ofs << l << " "; + ofs << "\n"; + } + ofs.close(); +} + +/** \brief Write the coordinates of points in points to a file. + * + */ +void write_points( std::string file_name, std::vector< Point_d > & points) +{ + std::ofstream ofs (file_name, std::ofstream::out); + for (auto w : points) + { + for (auto it = w.cartesian_begin(); it != w.cartesian_end(); ++it) + ofs << *it << " "; + ofs << "\n"; + } + ofs.close(); +} + +/** Write edges of a witness complex in a file. + * The format of an edge is coordinates of u \n coordinates of v \n\n\n + * This format is compatible with gnuplot + */ +template< typename STree > +void write_edges(std::string file_name, STree& witness_complex, Point_Vector& landmarks) +{ + std::ofstream ofs (file_name, std::ofstream::out); + for (auto u: witness_complex.complex_vertex_range()) + for (auto v: witness_complex.complex_vertex_range()) + { + std::vector edge = {u,v}; + if (u < v && witness_complex.find(edge) != witness_complex.null_simplex()) + { + for (auto it = landmarks[u].cartesian_begin(); it != landmarks[u].cartesian_end(); ++it) + ofs << *it << " "; + ofs << "\n"; + for (auto it = landmarks[v].cartesian_begin(); it != landmarks[v].cartesian_end(); ++it) + ofs << *it << " "; + ofs << "\n\n\n"; + } + } + ofs.close(); +} + +/** \brief Write triangles (tetrahedra in 3d) of a witness + * complex in a file, compatible with medit. + * l_is_v = landmark is vertex + */ +template +void write_witness_mesh(Point_Vector& W, std::vector& landmarks_ind, STree& st, SimplexHandleRange const & shr, bool is2d, bool l_is_v, std::string file_name = "witness.mesh") +{ + std::ofstream ofs (file_name, std::ofstream::out); + if (is2d) + ofs << "MeshVersionFormatted 1\nDimension 2\n"; + else + ofs << "MeshVersionFormatted 1\nDimension 3\n"; + + if (!l_is_v) + ofs << "Vertices\n" << W.size() << "\n"; + else + ofs << "Vertices\n" << landmarks_ind.size() << "\n"; + + if (l_is_v) + for (auto p_it : landmarks_ind) { + for (auto coord = W[p_it].cartesian_begin(); coord != W[p_it].cartesian_end() && coord != W[p_it].cartesian_begin()+3 ; ++coord) + ofs << *coord << " "; + ofs << "508\n"; + } + else + for (auto p_it : W) { + for (auto coord = p_it.cartesian_begin(); coord != p_it.cartesian_end() && coord != p_it.cartesian_begin()+3 ; ++coord) + ofs << *coord << " "; + ofs << "508\n"; + } + + // int num_triangles = W.size(), num_tetrahedra = 0; + int num_edges = 0, num_triangles = 0, num_tetrahedra = 0; + if (!l_is_v) { + for (auto sh_it : shr) + if (st.dimension(sh_it) == 1) + num_edges++; + else if (st.dimension(sh_it) == 2) + num_triangles++; + else if (st.dimension(sh_it) == 3) + num_tetrahedra++; + ofs << "Edges " << num_edges << "\n"; + for (auto sh_it : shr) { + if (st.dimension(sh_it) == 1) { + for (auto v_it : st.simplex_vertex_range(sh_it)) + ofs << landmarks_ind[v_it]+1 << " "; + ofs << "200\n"; + } + } + ofs << "Triangles " << num_triangles << "\n"; + for (unsigned i = 0; i < W.size(); ++i) + ofs << i << " " << i << " " << i << " " << "508\n"; + for (auto sh_it : shr) + { + if (st.dimension(sh_it) == 2) { + for (auto v_it : st.simplex_vertex_range(sh_it)) + ofs << landmarks_ind[v_it]+1 << " "; + ofs << "508\n"; + } + } + ofs << "Tetrahedra " << num_tetrahedra << "\n"; + for (auto sh_it : shr) + { + if (st.dimension(sh_it) == 3) { + for (auto v_it : st.simplex_vertex_range(sh_it)) + ofs << landmarks_ind[v_it]+1 << " "; + ofs << "250\n"; + } + } + } + else { + for (auto sh_it : shr) + if (st.dimension(sh_it) == 1) + num_edges++; + else if (st.dimension(sh_it) == 2) + num_triangles++; + else if (st.dimension(sh_it) == 3) + num_tetrahedra++; + ofs << "Edges " << num_edges << "\n"; + for (auto sh_it : shr) { + if (st.dimension(sh_it) == 1) { + for (auto v_it : st.simplex_vertex_range(sh_it)) + ofs << v_it+1 << " "; + ofs << "200\n"; + } + } + ofs << "Triangles " << num_triangles << "\n"; + for (auto sh_it : shr) + { + if (st.dimension(sh_it) == 2) { + for (auto v_it : st.simplex_vertex_range(sh_it)) + ofs << v_it+1 << " "; + ofs << "508\n"; + } + } + ofs << "Tetrahedra " << num_tetrahedra << "\n"; + for (auto sh_it : shr) + { + if (st.dimension(sh_it) == 3) { + for (auto v_it : st.simplex_vertex_range(sh_it)) + ofs << v_it+1 << " "; + ofs << "250\n"; + } + } + } + + ofs << "End\n"; + /* + else + { + ofs << "Tetrahedra " << t.number_of_finite_full_cells()+1 << "\n"; + for (auto fc_it = t.full_cells_begin(); fc_it != t.full_cells_end(); ++fc_it) + { + if (t.is_infinite(fc_it)) + continue; + for (auto vh_it = fc_it->vertices_begin(); vh_it != fc_it->vertices_end(); ++vh_it) + ofs << index_of_vertex[*vh_it] << " "; + ofs << "508\n"; + } + ofs << nbV << " " << nbV << " " << nbV << " " << nbV << " " << 208 << "\n"; + ofs << "End\n"; + } + */ + ofs.close(); +} + +void write_witness_mesh(Point_Vector& W, std::vector& landmarks_ind, Gudhi::Simplex_tree<>& st, bool is2d, bool l_is_v, std::string file_name = "witness.mesh") +{ + write_witness_mesh(W, landmarks_ind, st, st.complex_simplex_range(), is2d, l_is_v, file_name); +} + +/** \brief Write triangles (tetrahedra in 3d) of a Delaunay + * triangulation in a file, compatible with medit. + */ +void write_delaunay_mesh(Delaunay_triangulation& t, const Point_d& p, bool is2d) +{ + std::ofstream ofs ("delaunay.mesh", std::ofstream::out); + int nbV = t.number_of_vertices()+1; + if (is2d) + ofs << "MeshVersionFormatted 1\nDimension 2\n"; + else + ofs << "MeshVersionFormatted 1\nDimension 3\n"; + ofs << "Vertices\n" << nbV << "\n"; + int ind = 1; //index of a vertex + std::map index_of_vertex; + for (auto v_it = t.vertices_begin(); v_it != t.vertices_end(); ++v_it) + { + if (t.is_infinite(v_it)) + continue; + // Add maximum 3 coordinates + for (auto coord = v_it->point().cartesian_begin(); coord != v_it->point().cartesian_end() && coord != v_it->point().cartesian_begin()+3; ++coord) + ofs << *coord << " "; + ofs << "508\n"; + index_of_vertex[v_it] = ind++; + } + for (auto coord = p.cartesian_begin(); coord != p.cartesian_end(); ++coord) + ofs << *coord << " "; + ofs << "208\n"; + if (is2d) + { + ofs << "Triangles " << t.number_of_finite_full_cells()+1 << "\n"; + for (auto fc_it = t.full_cells_begin(); fc_it != t.full_cells_end(); ++fc_it) + { + if (t.is_infinite(fc_it)) + continue; + for (auto vh_it = fc_it->vertices_begin(); vh_it != fc_it->vertices_end(); ++vh_it) + ofs << index_of_vertex[*vh_it] << " "; + ofs << "508\n"; + } + ofs << nbV << " " << nbV << " " << nbV << " " << 208 << "\n"; + ofs << "End\n"; + } + else if (p.size() == 3) + { + ofs << "Tetrahedra " << t.number_of_finite_full_cells()+1 << "\n"; + for (auto fc_it = t.full_cells_begin(); fc_it != t.full_cells_end(); ++fc_it) + { + if (t.is_infinite(fc_it)) + continue; + for (auto vh_it = fc_it->vertices_begin(); vh_it != fc_it->vertices_end(); ++vh_it) + ofs << index_of_vertex[*vh_it] << " "; + ofs << "508\n"; + } + ofs << nbV << " " << nbV << " " << nbV << " " << nbV << " " << 208 << "\n"; + ofs << "End\n"; + } + else if (p.size() == 4) + { + ofs << "Tetrahedra " << 5*(t.number_of_finite_full_cells())+1 << "\n"; + for (auto fc_it = t.full_cells_begin(); fc_it != t.full_cells_end(); ++fc_it) + { + if (t.is_infinite(fc_it)) + continue; + for (auto vh_it = fc_it->vertices_begin(); vh_it != fc_it->vertices_end(); ++vh_it) + { + for (auto vh_it2 = fc_it->vertices_begin(); vh_it2 != fc_it->vertices_end(); ++vh_it2) + if (vh_it != vh_it2) + ofs << index_of_vertex[*vh_it2] << " "; + ofs << "508\n"; + } + } + ofs << nbV << " " << nbV << " " << nbV << " " << nbV << " " << 208 << "\n"; + ofs << "End\n"; + } + ofs.close(); +} + +/////////////////////////////////////////////////////////////////////// +// PRINT VECTOR +/////////////////////////////////////////////////////////////////////// + +template +void print_vector(std::vector v) +{ + std::cout << "["; + if (!v.empty()) + { + std::cout << *(v.begin()); + for (auto it = v.begin()+1; it != v.end(); ++it) + { + std::cout << ","; + std::cout << *it; + } + } + std::cout << "]"; +} + + +#endif diff --git a/src/Witness_complex/example/output_tikz.h b/src/Witness_complex/example/output_tikz.h new file mode 100644 index 00000000..281c65b7 --- /dev/null +++ b/src/Witness_complex/example/output_tikz.h @@ -0,0 +1,178 @@ +#ifndef OUTPUT_TIKZ_H +#define OUTPUT_TIKZ_H + +#include +#include +#include +#include +#include + +typedef double FT; + + +//////////////////AUX///////////////////// + +void write_preamble(std::ofstream& ofs) +{ + ofs << "\\documentclass{standalone}\n" + << "\\usepackage{tikz}\n\n" + << "\\begin{document}\n" + << "\\begin{tikzpicture}\n"; +} + +void write_end(std::ofstream& ofs) +{ + ofs << "\\end{tikzpicture}\n" + << "\\end{document}"; +} + + +/////////////////MAIN////////////////////// + +void write_tikz_plot(std::vector data, std::string filename) +{ + int n = data.size(); + FT vmax = *(std::max_element(data.begin(), data.end())); + //std::cout << std::log10(vmax) << " " << std::floor(std::log10(vmax)); + + FT order10 = pow(10,std::floor(std::log10(vmax))); + int digit = std::floor( vmax / order10) + 1; + if (digit == 4 || digit == 6) digit = 5; + if (digit > 6) digit = 10; + FT plot_max = digit*order10; + std::cout << plot_max << " " << vmax; + FT hstep = 10.0/(n-1); + FT wstep = 10.0 / plot_max; + + std::cout << "(eps_max-eps_min)/(N-48) = " << (vmax-*data.begin())/(data.size()-48) << "\n"; + std::ofstream ofs(filename, std::ofstream::out); + + ofs << + "\\documentclass{standalone}\n" << + "\\usepackage[utf8]{inputenc}\n" << + "\\usepackage{amsmath}\n" << + "\\usepackage{tikz}\n\n" << + "\\begin{document}\n" << + "\\begin{tikzpicture}\n"; + + ofs << "\\draw[->] (0,0) -- (0,11);" << std::endl << + "\\draw[->] (0,0) -- (11,0);" << std::endl << + "\\foreach \\i in {1,...,10}" << std::endl << + "\\draw (0,\\i) -- (-0.05,\\i);" << std::endl << + "\\foreach \\i in {1,...,10}" << std::endl << + "\\draw (\\i,0) -- (\\i,-0.05);" << std::endl << std::endl << + + "\\foreach \\i in {1,...,10}" << std::endl << + "\\draw[dashed] (-0.05,\\i) -- (11,\\i);" << std::endl << std::endl << + + "\\node at (-0.5,11) {$*$}; " << std::endl << + "\\node at (11,-0.5) {$*$}; " << std::endl << + "\\node at (-0.5,-0.5) {0}; " << std::endl << + "\\node at (-0.5,10) {" << plot_max << "}; " << std::endl << + "%\\node at (10,-0.5) {2}; " << std::endl; + + ofs << "\\draw[red] (0," << wstep*data[0] << ")"; + for (int i = 1; i < n; ++i) + ofs << " -- (" << hstep*i << "," << wstep*data[i] << ")"; + ofs << ";\n"; + + ofs << + "\\end{tikzpicture}\n" << + "\\end{document}"; + + ofs.close(); +} + + +// A little script to make a tikz histogram of epsilon distribution +// Returns the average epsilon +void write_histogram(std::vector histo, std::string file_name = "histogram.tikz", std::string xaxis = "$\\epsilon/\\epsilon_{max}$", std::string yaxis = "$\\epsilon$", FT max_x = 1) +{ + int n = histo.size(); + + std::ofstream ofs (file_name, std::ofstream::out); + FT barwidth = 20.0/n; + FT max_value = *(std::max_element(histo.begin(), histo.end())); + std::cout << max_value << std::endl; + FT ten_power = pow(10, ceil(log10(max_value))); + FT max_histo = ten_power; + if (max_value/ten_power > 1) { + if (max_value/ten_power < 2) + max_histo = 0.2*ten_power; + else if (max_value/ten_power < 5) + max_histo = 0.5*ten_power; + } + std::cout << ceil(log10(max_value)) << std::endl << max_histo << std::endl; + FT unitht = max_histo/10.0; + write_preamble(ofs); + + ofs << "\\draw[->] (0,0) -- (0,11);\n" << + "\\draw[->] (0,0) -- (21,0);\n" << + "\\foreach \\i in {1,...,10}\n" << + "\\draw (0,\\i) -- (-0.1,\\i);\n" << + "\\foreach \\i in {1,...,20}\n" << + "\\draw (\\i,0) -- (\\i,-0.1);\n" << + + "\\node at (-1,11) {" << yaxis << "};\n" << + "\\node at (22,-1) {" << xaxis << "};\n" << + "\\node at (-0.5,-0.5) {0};\n" << + "\\node at (-0.5,10) {" << max_histo << "};\n" << + "\\node at (20,-0.5) {" << max_x << "};\n"; + + for (int i = 0; i < n; ++i) + ofs << "\\draw (" << barwidth*i << "," << histo[i]/unitht << ") -- (" + << barwidth*(i+1) << "," << histo[i]/unitht << ") -- (" + << barwidth*(i+1) << ",0) -- (" << barwidth*i << ",0) -- cycle;\n"; + + write_end(ofs); + ofs.close(); +} + +struct Pers_interval { + double alpha_start, alpha_end; + int dim; + Pers_interval(double alpha_start_, double alpha_end_, int dim_) + : alpha_start(alpha_start_), alpha_end(alpha_end_), dim(dim_) + {} +}; + +void write_barcodes(std::string in_file, double alpha2, std::string out_file = "barcodes.tikz.tex") +{ + std::ifstream ifs(in_file, std::ios::in); + std::string line; + std::vector pers_intervals; + while (getline(ifs, line)) { + int p, dim; + double alpha_start, alpha_end; + std::istringstream iss(line); + iss >> p >> dim >> alpha_start >> alpha_end; + if (alpha_start != alpha_end) { + if (alpha_end < alpha_start) + alpha_end = alpha2; + pers_intervals.push_back(Pers_interval(alpha_start, alpha_end, dim)); + } + } + ifs.close(); + std::ofstream ofs (out_file, std::ofstream::out); + write_preamble(ofs); + double barwidth = 0.01; + int i = 0; + for (auto interval: pers_intervals) { + std::string color = "black"; + switch (interval.dim) { + case 0: color = "orange"; break; + case 1: color = "red"; break; + case 2: color = "blue"; break; + case 3: color = "green"; break; + case 4: color = "yellow"; break; + default: color = "orange"; break; + } + ofs << "\\fill[" << color << "] (" << interval.alpha_start << "," << barwidth*i << ") rectangle (" + << interval.alpha_end << "," << barwidth*(i+1) <<");\n"; + i++; + } + write_end(ofs); + ofs.close(); +} + +#endif diff --git a/src/Witness_complex/example/relaxed_delaunay.cpp b/src/Witness_complex/example/relaxed_delaunay.cpp new file mode 100644 index 00000000..b0190446 --- /dev/null +++ b/src/Witness_complex/example/relaxed_delaunay.cpp @@ -0,0 +1,180 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2016 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#include +#include +#include +#include +#include +#include "Landmark_choice_random_knn.h" +#include "Landmark_choice_sparsification.h" + +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include + +#include +#include +//#include + +#include "generators.h" +#include "output.h" + +using namespace Gudhi; +using namespace Gudhi::witness_complex; +using namespace Gudhi::persistent_cohomology; + +typedef CGAL::Epick_d K; +typedef K::Point_d Point_d; +typedef K::Sphere_d Sphere_d; +typedef CGAL::Delaunay_triangulation Delaunay_triangulation; + +typedef std::vector Point_Vector; +typedef Relaxed_witness_complex< Simplex_tree<> > RelaxedWitnessComplex; +typedef Simplex_tree<>::Simplex_handle Simplex_handle; + + + +/** + * \brief Customized version of read_points + * which takes into account a possible nbP first line + * + */ +inline void +read_points_cust(std::string file_name, std::vector< std::vector< double > > & points) { + std::ifstream in_file(file_name.c_str(), std::ios::in); + if (!in_file.is_open()) { + std::cerr << "Unable to open file " << file_name << std::endl; + return; + } + std::string line; + double x; + while (getline(in_file, line)) { + std::vector< double > point; + std::istringstream iss(line); + while (iss >> x) { + point.push_back(x); + } + if (point.size() != 1) + points.push_back(point); + } + in_file.close(); +} + +int main (int argc, char * const argv[]) +{ + if (argc != 4) { + std::cerr << "Usage: " << argv[0] + << " 1 file_name alpha limD\n"; + return 0; + } + std::string file_name = argv[1]; + double alpha2 = atof(argv[2]); + int limD = atoi(argv[3]); + + // Read points + Point_Vector point_vector; + read_points_cust(file_name, point_vector); + generate_points_random_box(point_vector, 200, 2); + write_points(file_name, point_vector); + + std::cout << "The file contains " << point_vector.size() << " points.\n"; + std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; + + // 1. Compute Delaunay centers + Delaunay_triangulation delaunay(point_vector[0].size()); + delaunay.insert(point_vector.begin(), point_vector.end()); + Point_Vector del_centers; + for (auto f_it = delaunay.full_cells_begin(); f_it != delaunay.full_cells_end(); ++f_it) { + if (delaunay.is_infinite(f_it)) + continue; + Point_Vector vertices; + for (auto v_it = f_it->vertices_begin(); v_it != f_it->vertices_end(); ++v_it) + vertices.push_back((*v_it)->point()); + Sphere_d sphere(vertices.begin(), vertices.end()); + del_centers.push_back(sphere.center()); + } + std::cout << "Delaunay center count: " << del_centers.size() << ".\n"; + + // 2. Build Relaxed Witness Complex + std::vector> knn; + std::vector> distances; + Gudhi::witness_complex::build_distance_matrix(del_centers, // aka witnesses + point_vector, // aka landmarks + alpha2, + limD, + knn, + distances); + + write_wl("wl_distances.txt", distances); + Simplex_tree<> simplex_tree; + Gudhi::witness_complex::Relaxed_witness_complex> rwc(distances, + knn, + simplex_tree, + point_vector.size(), + alpha2, + limD); + std::vector dim_simplices(limD+1); + for (auto sh: simplex_tree.complex_simplex_range()) { + dim_simplices[simplex_tree.dimension(sh)]++; + } + for (unsigned i =0; i != dim_simplices.size(); ++i) + std::cout << "dim[" << i << "]: " << dim_simplices[i] << " simplices.\n"; + + std::vector landmarks_ind; + for (unsigned i = 0; i < point_vector.size(); ++i) + landmarks_ind.push_back(i); + write_witness_mesh(point_vector, landmarks_ind, simplex_tree, simplex_tree.complex_simplex_range(), true, true, "relaxed_delaunay.mesh"); + + // 3. Check if the thing is Relaxed Delaunay + for (auto sh: simplex_tree.complex_simplex_range()) { + Point_Vector vertices; + for (auto v: simplex_tree.simplex_vertex_range(sh)) + vertices.push_back(point_vector[v]); + Sphere_d sphere(vertices.begin(), vertices.end()); + Point_d center = sphere.center(); + double r2 = sphere.squared_radius(); + typename K::Squared_distance_d dist2; + std::vector v_inds; + for (auto v: simplex_tree.simplex_vertex_range(sh)) + v_inds.push_back(v); + auto range_begin = std::begin(v_inds); + auto range_end = std::end(v_inds); + if (simplex_tree.dimension(sh) == (int)point_vector[0].size()) + for (auto v: simplex_tree.complex_vertex_range()) + if (std::find(range_begin, range_end, v) == range_end) { + if (dist2(point_vector[v], center) < r2 - alpha2) + std::cout << "WARNING! The vertex " << point_vector[v] << " is inside the (r2-alpha2)-ball (" << center << ", " << r2 << ") distance is " << dist2(point_vector[v], center) << "\n"; + } + } +} diff --git a/src/Witness_complex/example/relaxed_witness_complex_sphere.cpp b/src/Witness_complex/example/relaxed_witness_complex_sphere.cpp new file mode 100644 index 00000000..067321ce --- /dev/null +++ b/src/Witness_complex/example/relaxed_witness_complex_sphere.cpp @@ -0,0 +1,461 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include +//#include + +//#include "gudhi/graph_simplicial_complex.h" +#include "gudhi/Relaxed_witness_complex.h" +#include "gudhi/reader_utils.h" +#include "gudhi/Collapse/Collapse.h" +//#include + +//#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include +#include + + +#include +#include +#include +#include + +using namespace Gudhi; +//using namespace boost::filesystem; + +typedef CGAL::Epick_d K; +typedef K::FT FT; +typedef K::Point_d Point_d; +typedef CGAL::Search_traits< + FT, Point_d, + typename K::Cartesian_const_iterator_d, + typename K::Construct_cartesian_const_iterator_d> Traits_base; +typedef CGAL::Euclidean_distance Euclidean_distance; + +typedef std::vector< Vertex_handle > typeVectorVertex; + +//typedef std::pair typeSimplex; +//typedef std::pair< Simplex_tree<>::Simplex_handle, bool > typePairSimplexBool; + +typedef CGAL::Search_traits_adapter< + std::ptrdiff_t, Point_d*, Traits_base> STraits; +//typedef K TreeTraits; +//typedef CGAL::Distance_adapter Euclidean_adapter; +//typedef CGAL::Kd_tree Kd_tree; +typedef CGAL::Orthogonal_incremental_neighbor_search> Neighbor_search; +typedef Neighbor_search::Tree Tree; +typedef Neighbor_search::Distance Distance; +typedef Neighbor_search::iterator KNS_iterator; +typedef Neighbor_search::iterator KNS_range; +typedef boost::container::flat_map Point_etiquette_map; +typedef CGAL::Kd_tree Tree2; + +typedef CGAL::Fuzzy_sphere Fuzzy_sphere; + +typedef std::vector Point_Vector; + +//typedef K::Equal_d Equal_d; +typedef CGAL::Random_points_in_cube_d Random_cube_iterator; +typedef CGAL::Random_points_in_ball_d Random_point_iterator; + +bool toric=false; + +/** + * \brief Customized version of read_points + * which takes into account a possible nbP first line + * + */ +inline void +read_points_cust ( std::string file_name , Point_Vector & points) +{ + std::ifstream in_file (file_name.c_str(),std::ios::in); + if(!in_file.is_open()) + { + std::cerr << "Unable to open file " << file_name << std::endl; + return; + } + std::string line; + double x; + while( getline ( in_file , line ) ) + { + std::vector< double > point; + std::istringstream iss( line ); + while(iss >> x) { point.push_back(x); } + Point_d p(point.begin(), point.end()); + if (point.size() != 1) + points.push_back(p); + } + in_file.close(); +} + + +void generate_points_sphere(Point_Vector& W, int nbP, int dim) +{ + CGAL::Random_points_on_sphere_d rp(dim,1); + for (int i = 0; i < nbP; i++) + W.push_back(*rp++); +} + + +void write_wl( std::string file_name, std::vector< std::vector > & WL) +{ + std::ofstream ofs (file_name, std::ofstream::out); + for (auto w : WL) + { + for (auto l: w) + ofs << l << " "; + ofs << "\n"; + } + ofs.close(); +} + +void write_rl( std::string file_name, std::vector< std::vector ::iterator> > & rl) +{ + std::ofstream ofs (file_name, std::ofstream::out); + for (auto w : rl) + { + for (auto l: w) + ofs << *l << " "; + ofs << "\n"; + } + ofs.close(); +} + +std::vector convert_to_torus(std::vector< Point_d>& points) +{ + std::vector< Point_d > points_torus; + for (auto p: points) + { + FT theta = M_PI*p[0]; + FT phi = M_PI*p[1]; + std::vector p_torus; + p_torus.push_back((1+0.2*cos(theta))*cos(phi)); + p_torus.push_back((1+0.2*cos(theta))*sin(phi)); + p_torus.push_back(0.2*sin(theta)); + points_torus.push_back(Point_d(p_torus)); + } + return points_torus; +} + + +void write_points_torus( std::string file_name, std::vector< Point_d > & points) +{ + std::ofstream ofs (file_name, std::ofstream::out); + std::vector points_torus = convert_to_torus(points); + for (auto w : points_torus) + { + for (auto it = w.cartesian_begin(); it != w.cartesian_end(); ++it) + ofs << *it << " "; + ofs << "\n"; + } + ofs.close(); +} + + +void write_points( std::string file_name, std::vector< Point_d > & points) +{ + if (toric) write_points_torus(file_name, points); + else + { + std::ofstream ofs (file_name, std::ofstream::out); + for (auto w : points) + { + for (auto it = w.cartesian_begin(); it != w.cartesian_end(); ++it) + ofs << *it << " "; + ofs << "\n"; + } + ofs.close(); + } +} + + +void write_edges_torus(std::string file_name, Witness_complex<>& witness_complex, Point_Vector& landmarks) +{ + std::ofstream ofs (file_name, std::ofstream::out); + Point_Vector l_torus = convert_to_torus(landmarks); + for (auto u: witness_complex.complex_vertex_range()) + for (auto v: witness_complex.complex_vertex_range()) + { + typeVectorVertex edge = {u,v}; + if (u < v && witness_complex.find(edge) != witness_complex.null_simplex()) + { + for (auto it = l_torus[u].cartesian_begin(); it != l_torus[u].cartesian_end(); ++it) + ofs << *it << " "; + ofs << "\n"; + for (auto it = l_torus[v].cartesian_begin(); it != l_torus[v].cartesian_end(); ++it) + ofs << *it << " "; + ofs << "\n\n\n"; + } + } + ofs.close(); +} + +void write_edges(std::string file_name, Witness_complex<>& witness_complex, Point_Vector& landmarks) +{ + std::ofstream ofs (file_name, std::ofstream::out); + if (toric) write_edges_torus(file_name, witness_complex, landmarks); + else + { + for (auto u: witness_complex.complex_vertex_range()) + for (auto v: witness_complex.complex_vertex_range()) + { + typeVectorVertex edge = {u,v}; + if (u < v && witness_complex.find(edge) != witness_complex.null_simplex()) + { + for (auto it = landmarks[u].cartesian_begin(); it != landmarks[u].cartesian_end(); ++it) + ofs << *it << " "; + ofs << "\n"; + for (auto it = landmarks[v].cartesian_begin(); it != landmarks[v].cartesian_end(); ++it) + ofs << *it << " "; + ofs << "\n\n\n"; + } + } + ofs.close(); + } +} + + +/** Function that chooses landmarks from W and place it in the kd-tree L. + * Note: nbL hould be removed if the code moves to Witness_complex + */ +void landmark_choice(Point_Vector &W, int nbP, int nbL, Point_Vector& landmarks, std::vector& landmarks_ind) +{ + std::cout << "Enter landmark choice to kd tree\n"; + //std::vector landmarks; + int chosen_landmark; + //std::pair res = std::make_pair(L_i.begin(),false); + Point_d* p; + CGAL::Random rand; + for (int i = 0; i < nbL; i++) + { + // while (!res.second) + // { + do chosen_landmark = rand.get_int(0,nbP); + while (std::find(landmarks_ind.begin(), landmarks_ind.end(), chosen_landmark) != landmarks_ind.end()); + //rand++; + //std::cout << "Chose " << chosen_landmark << std::endl; + p = &W[chosen_landmark]; + //L_i.emplace(chosen_landmark,i); + // } + landmarks.push_back(*p); + landmarks_ind.push_back(chosen_landmark); + //std::cout << "Added landmark " << chosen_landmark << std::endl; + } + } + + +void landmarks_to_witness_complex(Point_Vector &W, Point_Vector& landmarks, std::vector& landmarks_ind, FT alpha) +{ + //********************Preface: origin point + unsigned D = W[0].size(); + std::vector orig_vector; + for (unsigned i = 0; i < D; i++) + orig_vector.push_back(0); + Point_d origin(orig_vector); + //Distance dist; + //dist.transformed_distance(0,1); + //******************** Constructing a WL matrix + int nbP = W.size(); + int nbL = landmarks.size(); + STraits traits(&(landmarks[0])); + Euclidean_distance ed; + std::vector< std::vector > WL(nbP); + std::vector< std::vector< typename std::vector::iterator > > ope_limits(nbP); + Tree L(boost::counting_iterator(0), + boost::counting_iterator(nbL), + typename Tree::Splitter(), + traits); + + std::cout << "Enter (D+1) nearest landmarks\n"; + //std::cout << "Size of the tree is " << L.size() << std::endl; + for (int i = 0; i < nbP; i++) + { + //std::cout << "Entered witness number " << i << std::endl; + Point_d& w = W[i]; + std::queue< typename std::vector::iterator > ope_queue; // queue of points at (1+epsilon) distance to current landmark + Neighbor_search search(L, w, FT(0), true, CGAL::Distance_adapter(&(landmarks[0]))); + Neighbor_search::iterator search_it = search.begin(); + + //Incremental search and filling WL + while (WL[i].size() < D) + WL[i].push_back((search_it++)->first); + FT dtow = ed.transformed_distance(w, landmarks[WL[i][D-1]]); + while (search_it->second < dtow + alpha) + WL[i].push_back((search_it++)->first); + + //Filling the (1+epsilon)-limits table + for (std::vector::iterator wl_it = WL[i].begin(); wl_it != WL[i].end(); ++wl_it) + { + ope_queue.push(wl_it); + FT d_to_curr_l = ed.transformed_distance(w, landmarks[*wl_it]); + //std::cout << "d_to_curr_l=" << d_to_curr_l << std::endl; + //std::cout << "d_to_front+alpha=" << d_to_curr_l << std::endl; + while (d_to_curr_l > alpha + ed.transformed_distance(w, landmarks[*(ope_queue.front())])) + { + ope_limits[i].push_back(wl_it); + ope_queue.pop(); + } + } + while (ope_queue.size() > 0) + { + ope_limits[i].push_back(WL[i].end()); + ope_queue.pop(); + } + //std::cout << "Safely constructed a point\n"; + ////Search D+1 nearest neighbours from the tree of landmarks L + /* + if (w[0]>0.95) + std::cout << i << std::endl; + */ + //K_neighbor_search search(L, w, D, FT(0), true, + // CGAL::Distance_adapter(&(landmarks[0])) ); + //std::cout << "Safely found nearest landmarks\n"; + /* + for(K_neighbor_search::iterator it = search.begin(); it != search.end(); ++it) + { + //std::cout << "Entered KNN_it with point at distance " << it->second << "\n"; + //Point_etiquette_map::iterator itm = L_i.find(it->first); + //assert(itm != L_i.end()); + //std::cout << "Entered KNN_it with point at distance " << it->second << "\n"; + WL[i].push_back(it->first); + //std::cout << "ITFIRST " << it->first << std::endl; + //std::cout << i << " " << it->first << ": " << it->second << std::endl; + } + */ + } + //std::cout << "\n"; + + //std::string out_file = "wl_result"; + write_wl("wl_result",WL); + write_rl("rl_result",ope_limits); + + //******************** Constructng a witness complex + std::cout << "Entered witness complex construction\n"; + Witness_complex<> witnessComplex; + witnessComplex.setNbL(nbL); + witnessComplex.relaxed_witness_complex(WL, ope_limits); + char buffer[100]; + int i = sprintf(buffer,"stree_result.txt"); + + if (i >= 0) + { + std::string out_file = (std::string)buffer; + std::ofstream ofs (out_file, std::ofstream::out); + witnessComplex.st_to_file(ofs); + ofs.close(); + } + write_edges("landmarks/edges", witnessComplex, landmarks); + std::cout << Distance().transformed_distance(Point_d(std::vector({0.1,0.1})), Point_d(std::vector({1.9,1.9}))) << std::endl; +} + + +int main (int argc, char * const argv[]) +{ + + if (argc != 5) + { + std::cerr << "Usage: " << argv[0] + << " nbP nbL dim alpha\n"; + return 0; + } + /* + boost::filesystem::path p; + for (; argc > 2; --argc, ++argv) + p /= argv[1]; + */ + + int nbP = atoi(argv[1]); + int nbL = atoi(argv[2]); + int dim = atoi(argv[3]); + double alpha = atof(argv[4]); + //clock_t start, end; + //Construct the Simplex Tree + Witness_complex<> witnessComplex; + + std::cout << "Let the carnage begin!\n"; + Point_Vector point_vector; + //read_points_cust(file_name, point_vector); + generate_points_sphere(point_vector, nbP, dim); + /* + for (auto &p: point_vector) + { + assert(std::count(point_vector.begin(),point_vector.end(),p) == 1); + } + */ + //std::cout << "Successfully read the points\n"; + //witnessComplex.setNbL(nbL); + Point_Vector L; + std::vector chosen_landmarks; + landmark_choice(point_vector, nbP, nbL, L, chosen_landmarks); + //start = clock(); + + write_points("landmarks/initial_pointset",point_vector); + write_points("landmarks/initial_landmarks",L); + + landmarks_to_witness_complex(point_vector, L, chosen_landmarks, alpha); + //end = clock(); + + /* + std::cout << "Landmark choice took " + << (double)(end-start)/CLOCKS_PER_SEC << " s. \n"; + start = clock(); + witnessComplex.witness_complex(WL); + // + end = clock(); + std::cout << "Howdy world! The process took " + << (double)(end-start)/CLOCKS_PER_SEC << " s. \n"; + */ + + /* + out_file = "output/"+file_name+"_"+argv[2]+".stree"; + std::ofstream ofs (out_file, std::ofstream::out); + witnessComplex.st_to_file(ofs); + ofs.close(); + + out_file = "output/"+file_name+"_"+argv[2]+".badlinks"; + std::ofstream ofs2(out_file, std::ofstream::out); + witnessComplex.write_bad_links(ofs2); + ofs2.close(); + */ +} diff --git a/src/Witness_complex/example/relaxed_witness_persistence.cpp b/src/Witness_complex/example/relaxed_witness_persistence.cpp index b8e4866f..b4837594 100644 --- a/src/Witness_complex/example/relaxed_witness_persistence.cpp +++ b/src/Witness_complex/example/relaxed_witness_persistence.cpp @@ -4,7 +4,7 @@ * * Author(s): Siargey Kachanovich * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) + * Copyright (C) 2016 INRIA Sophia Antipolis-Méditerranée (France) * * This program is free software: you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by @@ -22,9 +22,11 @@ #include #include +#include #include #include #include "Landmark_choice_random_knn.h" +#include "Landmark_choice_sparsification.h" #include #include @@ -34,6 +36,7 @@ #include #include #include +#include #include #include @@ -49,6 +52,7 @@ using namespace Gudhi::persistent_cohomology; typedef std::vector Point_Vector; typedef Relaxed_witness_complex< Simplex_tree<> > RelaxedWitnessComplex; +typedef Simplex_tree<>::Simplex_handle Simplex_handle; /** * \brief Customized version of read_points @@ -81,7 +85,7 @@ void output_experiment_information(char * const file_name) std::cout << "Enter a valid experiment number. Usage: " << file_name << " exp_no options\n"; std::cout << "Experiment description:\n" - << "0 nbP nbL dim alpha limD: " + << "0 nbP nbL dim alpha limD mu_epsilon: " << "Build persistence diagram on relaxed witness complex " << "built from a point cloud on (dim-1)-dimensional sphere " << "consisting of nbP witnesses and nbL landmarks. " @@ -93,7 +97,7 @@ void output_experiment_information(char * const file_name) << "The maximal relaxation is alpha and the limit on simplicial complex dimension is limD\n"; } -void rw_experiment(Point_Vector & point_vector, int nbL, FT alpha, int limD) +void rw_experiment(Point_Vector & point_vector, int nbL, FT alpha, int limD, FT mu_epsilon = 0.1) { clock_t start, end; Simplex_tree<> simplex_tree; @@ -102,81 +106,60 @@ void rw_experiment(Point_Vector & point_vector, int nbL, FT alpha, int limD) std::vector > knn; std::vector > distances; start = clock(); - Gudhi::witness_complex::landmark_choice_by_random_knn(point_vector, nbL, alpha, limD, knn, distances); + //Gudhi::witness_complex::landmark_choice_by_random_knn(point_vector, nbL, alpha, limD, knn, distances); + std::vector landmarks; + Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); + Gudhi::witness_complex::build_distance_matrix(point_vector, // aka witnesses + landmarks, // aka landmarks + alpha, + limD, + knn, + distances); end = clock(); double time = static_cast(end - start) / CLOCKS_PER_SEC; std::cout << "Choice of " << nbL << " landmarks took " << time << " s. \n"; // Compute witness complex start = clock(); - RelaxedWitnessComplex(distances, - knn, - simplex_tree, - nbL, - alpha, - limD); + RelaxedWitnessComplex rw(distances, + knn, + simplex_tree, + nbL, + alpha, + limD); end = clock(); time = static_cast(end - start) / CLOCKS_PER_SEC; - std::cout << "Witness complex for " << nbL << " landmarks took " + std::cout << "Relaxed witness complex for " << nbL << " landmarks took " << time << " s. \n"; std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; // std::cout << simplex_tree << "\n"; // Compute the persistence diagram of the complex - persistent_cohomology::Persistent_cohomology< Simplex_tree<>, Field_Zp > pcoh(simplex_tree, false); + simplex_tree.set_dimension(limD); + persistent_cohomology::Persistent_cohomology< Simplex_tree<>, Field_Zp > pcoh(simplex_tree, true); int p = 3; pcoh.init_coefficients( p ); //initilizes the coefficient field for homology start = clock(); - pcoh.compute_persistent_cohomology( alpha/5 ); + pcoh.compute_persistent_cohomology( alpha/1000 ); end = clock(); time = static_cast(end - start) / CLOCKS_PER_SEC; std::cout << "Persistence diagram took " << time << " s. \n"; pcoh.output_diagram(); -} - -void rips_experiment(Point_Vector & points, double threshold, int dim_max) -{ - typedef std::vector Point_t; - typedef Simplex_tree ST; - clock_t start, end; - ST st; - - // Compute the proximity graph of the points - start = clock(); - Graph_t prox_graph = compute_proximity_graph(points, threshold - , euclidean_distance); - // Construct the Rips complex in a Simplex Tree - // insert the proximity graph in the simplex tree - st.insert_graph(prox_graph); - // expand the graph until dimension dim_max - st.expansion(dim_max); - end = clock(); - - double time = static_cast(end - start) / CLOCKS_PER_SEC; - std::cout << "Rips complex took " - << time << " s. \n"; - std::cout << "The complex contains " << st.num_simplices() << " simplices \n"; - //std::cout << " and has dimension " << st.dimension() << " \n"; - // Sort the simplices in the order of the filtration - st.initialize_filtration(); + int chi = 0; + for (auto sh: simplex_tree.complex_simplex_range()) + chi += 1-2*(simplex_tree.dimension(sh)%2); + std::cout << "Euler characteristic is " << chi << std::endl; - // Compute the persistence diagram of the complex - persistent_cohomology::Persistent_cohomology pcoh(st); - // initializes the coefficient field for homology - int p = 3; - double min_persistence = threshold/5; - pcoh.init_coefficients(p); - pcoh.compute_persistent_cohomology(min_persistence); - pcoh.output_diagram(); } + int experiment0 (int argc, char * const argv[]) { - if (argc != 7) { + if (argc != 8) { std::cerr << "Usage: " << argv[0] - << " 0 nbP nbL dim alpha limD\n"; + << " 0 nbP nbL dim alpha limD mu_epsilon\n"; return 0; } /* @@ -190,6 +173,7 @@ int experiment0 (int argc, char * const argv[]) int dim = atoi(argv[4]); double alpha = atof(argv[5]); int limD = atoi(argv[6]); + double mu_epsilon = atof(argv[7]); // Read the point file Point_Vector point_vector; @@ -244,25 +228,25 @@ int experiment1 (int argc, char * const argv[]) ok = true; break; } } - ok = false; - while (!ok) { - std::cout << "Rips complex: parameters threshold, limD.\n"; - std::cout << "Enter threshold: "; - std::cin >> alpha; - std::cout << "Enter limD: "; - std::cin >> limD; - std::cout << "Start Rips complex...\n"; - rips_experiment(point_vector, alpha, limD); - std::cout << "Is the result correct? [y/n]: "; - char answer; - std::cin >> answer; - switch (answer) { - case 'n': - ok = false; break; - default : - ok = true; break; - } - } + // ok = false; + // while (!ok) { + // std::cout << "Rips complex: parameters threshold, limD.\n"; + // std::cout << "Enter threshold: "; + // std::cin >> alpha; + // std::cout << "Enter limD: "; + // std::cin >> limD; + // std::cout << "Start Rips complex...\n"; + // rips_experiment(point_vector, alpha, limD); + // std::cout << "Is the result correct? [y/n]: "; + // char answer; + // std::cin >> answer; + // switch (answer) { + // case 'n': + // ok = false; break; + // default : + // ok = true; break; + // } + // } } int main (int argc, char * const argv[]) diff --git a/src/Witness_complex/example/strange_sphere.cpp b/src/Witness_complex/example/strange_sphere.cpp new file mode 100644 index 00000000..9188bd8e --- /dev/null +++ b/src/Witness_complex/example/strange_sphere.cpp @@ -0,0 +1,219 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ +#define BOOST_PARAMETER_MAX_ARITY 12 + + +#include +#include + +#include +#include +#include +#include +#include "output.h" + +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include +#include + + +#include +#include +#include +#include + + +#include "generators.h" + +using namespace Gudhi; +using namespace Gudhi::witness_complex; + +typedef std::vector< Vertex_handle > typeVectorVertex; +typedef Strange_witness_complex< Simplex_tree<> > WitnessComplex; + +typedef CGAL::Epick_d K; +typedef K::FT FT; +typedef K::Point_d Point_d; +typedef CGAL::Search_traits< + FT, Point_d, + typename K::Cartesian_const_iterator_d, + typename K::Construct_cartesian_const_iterator_d> Traits_base; +typedef CGAL::Euclidean_distance Euclidean_distance; + +typedef CGAL::Search_traits_adapter< + std::ptrdiff_t, Point_d*, Traits_base> STraits; +typedef CGAL::Orthogonal_incremental_neighbor_search> Neighbor_search; +typedef Neighbor_search::Tree Tree; +typedef Neighbor_search::Distance Distance; +typedef Neighbor_search::iterator KNS_iterator; +typedef Neighbor_search::iterator KNS_range; +typedef boost::container::flat_map Point_etiquette_map; +typedef CGAL::Kd_tree Tree2; +typedef CGAL::Fuzzy_sphere Fuzzy_sphere; +typedef std::vector Point_Vector; + +/** Function that chooses landmarks from W and place it in the kd-tree L. + * Note: nbL hould be removed if the code moves to Witness_complex + */ +void landmark_choice(Point_Vector &W, int nbP, int nbL, Point_Vector& landmarks, std::vector& landmarks_ind) +{ + std::cout << "Enter landmark choice to kd tree\n"; + //std::vector landmarks; + int chosen_landmark; + //std::pair res = std::make_pair(L_i.begin(),false); + Point_d* p; + CGAL::Random rand; + for (int i = 0; i < nbL; i++) + { + // while (!res.second) + // { + do chosen_landmark = rand.get_int(0,nbP); + while (std::find(landmarks_ind.begin(), landmarks_ind.end(), chosen_landmark) != landmarks_ind.end()); + //rand++; + //std::cout << "Chose " << chosen_landmark << std::endl; + p = &W[chosen_landmark]; + //L_i.emplace(chosen_landmark,i); + // } + landmarks.push_back(*p); + landmarks_ind.push_back(chosen_landmark); + //std::cout << "Added landmark " << chosen_landmark << std::endl; + } + } + +void landmarks_to_witness_complex(Point_Vector &W, int nbL) +{ + //********************Preface: origin point + unsigned D = W[0].size(); + std::vector orig_vector; + for (unsigned i = 0; i < D; i++) + orig_vector.push_back(0); + Point_d origin(orig_vector); + //Distance dist; + //dist.transformed_distance(0,1); + //******************** Constructing a WL matrix + int nbP = W.size(); + Point_Vector landmarks; + std::vector landmarks_ind; + landmark_choice(W, nbP, nbL, landmarks, landmarks_ind); + + + STraits traits(&(landmarks[0])); + Euclidean_distance ed; + std::vector< std::vector > WL(nbP); + std::vector< std::vector< typename std::vector::iterator > > ope_limits(nbP); + Tree L(boost::counting_iterator(0), + boost::counting_iterator(nbL), + typename Tree::Splitter(), + traits); + + std::cout << "Enter (D+1) nearest landmarks\n"; + //std::cout << "Size of the tree is " << L.size() << std::endl; + for (int i = 0; i < nbP; i++) { + //std::cout << "Entered witness number " << i << std::endl; + Point_d& w = W[i]; + std::queue< typename std::vector::iterator > ope_queue; // queue of points at (1+epsilon) distance to current landmark + Neighbor_search search(L, w, FT(0), true, CGAL::Distance_adapter(&(landmarks[0]))); + Neighbor_search::iterator search_it = search.begin(); + + //Incremental search and filling WL + while (WL[i].size() < D) + WL[i].push_back((search_it++)->first); + } + write_wl("WL.txt", WL); //! + //******************** Constructng a witness complex + std::cout << "Entered witness complex construction\n"; + + Simplex_tree<> simplex_tree; + WitnessComplex(WL, simplex_tree, nbL, W[0].size()-1); + //std::cout << simplex_tree << "\n"; //! + write_witness_mesh(W, landmarks_ind, simplex_tree, false, true); +} + + + +/** Write a gnuplot readable file. + * Data range is a random access range of pairs (arg, value) + */ +template < typename Data_range > +void write_data(Data_range & data, std::string filename) { + std::ofstream ofs(filename, std::ofstream::out); + for (auto entry : data) + ofs << entry.first << ", " << entry.second << "\n"; + ofs.close(); +} + + + +int main(int argc, char * const argv[]) { + if (argc != 4) { + std::cerr << "Usage: " << argv[0] + << " nbP nbL dim\n"; + return 0; + } + + int nbP = atoi(argv[1]); + int nbL = atoi(argv[2]); + int dim = atoi(argv[3]); + clock_t start, end; + + // Construct the Simplex Tree + Simplex_tree<> simplex_tree; + + std::vector< std::pair > l_time; + + // Read the point file + Point_Vector point_vector; + generate_points_sphere(point_vector, nbP, dim); + std::cout << "Successfully generated " << point_vector.size() << " points.\n"; + std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; + + // Choose landmarks + start = clock(); + std::vector > knn; + + landmarks_to_witness_complex(point_vector, nbL); + + end = clock(); + double time = static_cast(end - start) / CLOCKS_PER_SEC; + std::cout << "Witness complex for " << nbL << " landmarks took " + << time << " s. \n"; + l_time.push_back(std::make_pair(nbP, time)); + //write_data(l_time, "w_time.dat"); +} diff --git a/src/Witness_complex/include/gudhi/A0_complex.h b/src/Witness_complex/include/gudhi/A0_complex.h new file mode 100644 index 00000000..2018e1c8 --- /dev/null +++ b/src/Witness_complex/include/gudhi/A0_complex.h @@ -0,0 +1,337 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#ifndef A0_COMPLEX_H_ +#define A0_COMPLEX_H_ + +#include +#include +#include +#include +#include "gudhi/reader_utils.h" +#include "gudhi/distance_functions.h" +#include "gudhi/Simplex_tree.h" +#include +#include +#include +#include +#include +#include +#include +#include + +// Needed for nearest neighbours +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include + +// Needed for the adjacency graph in bad link search +#include +#include +#include + +namespace Gudhi { + +namespace witness_complex { + + /** \addtogroup simplex_tree + * Witness complex is a simplicial complex defined on two sets of points in \f$\mathbf{R}^D\f$: + * \f$W\f$ set of witnesses and \f$L \subseteq W\f$ set of landmarks. The simplices are based on points in \f$L\f$ + * and a simplex belongs to the witness complex if and only if it is witnessed (there exists a point \f$w \in W\f$ such that + * w is closer to the vertices of this simplex than others) and all of its faces are witnessed as well. + */ +template< class Simplicial_complex > +class A0_complex { + +private: + struct Active_witness { + int witness_id; + int landmark_id; + + Active_witness(int witness_id_, int landmark_id_) + : witness_id(witness_id_), + landmark_id(landmark_id_) { } + }; + +private: + typedef typename Simplicial_complex::Simplex_handle Simplex_handle; + typedef typename Simplicial_complex::Vertex_handle Vertex_handle; + typedef typename Simplicial_complex::Filtration_value FT; + + typedef std::vector< double > Point_t; + typedef std::vector< Point_t > Point_Vector; + + // typedef typename Simplicial_complex::Filtration_value Filtration_value; + typedef std::vector< Vertex_handle > typeVectorVertex; + typedef std::pair< typeVectorVertex, Filtration_value> typeSimplex; + typedef std::pair< Simplex_handle, bool > typePairSimplexBool; + + typedef int Witness_id; + typedef int Landmark_id; + typedef std::list< Vertex_handle > ActiveWitnessList; + + private: + int nbL; // Number of landmarks + Simplicial_complex& sc; // Simplicial complex + + public: + /** @name Constructor + */ + + //@{ + + /** + * \brief Iterative construction of the relaxed witness complex. + * \details The witness complex is written in sc_ basing on a matrix knn + * of k nearest neighbours of the form {witnesses}x{landmarks} and + * and a matrix distances of distances to these landmarks from witnesses. + * The parameter alpha defines relaxation and + * limD defines the + * + * The line lengths in one given matrix can differ, + * however both matrices have the same corresponding line lengths. + * + * The type KNearestNeighbors can be seen as + * Witness_range>, where + * Witness_range and Closest_landmark_range are random access ranges. + * + * Constructor takes into account at most (dim+1) + * first landmarks from each landmark range to construct simplices. + * + * Landmarks are supposed to be in [0,nbL_-1] + */ + + template< typename KNearestNeighbours > + A0_complex(std::vector< std::vector > const & distances, + KNearestNeighbours const & knn, + Simplicial_complex & sc_, + int nbL_, + double alpha2, + unsigned limD) : nbL(nbL_), sc(sc_) { + int nbW = knn.size(); + typeVectorVertex vv; + //int counter = 0; + /* The list of still useful witnesses + * it will diminuish in the course of iterations + */ + ActiveWitnessList active_w;// = new ActiveWitnessList(); + for (int i = 0; i != nbL; ++i) { + // initial fill of 0-dimensional simplices + // by doing it we don't assume that landmarks are necessarily witnesses themselves anymore + //counter++; + vv = {i}; + sc.insert_simplex(vv, Filtration_value(0.0)); + /* TODO Error if not inserted : normally no need here though*/ + } + for (int i=0; i != nbW; ++i) { + // int i_end = limD+1; + // if (knn[i].size() < limD+1) + // i_end = knn[i].size(); + // double dist_wL = *(distances[i].begin()); + // while (distances[i][i_end] > dist_wL + alpha2) + // i_end--; + // add_all_witnessed_faces(distances[i].begin(), + // knn[i].begin(), + // knn[i].begin() + i_end + 1); + unsigned j_end = 0; + while (j_end < distances[i].size() && j_end <= limD && distances[i][j_end] <= distances[i][0] + alpha2) { + std::vector simplex; + for (unsigned j = 0; j <= j_end; ++j) + simplex.push_back(knn[i][j]); + assert(distances[i][j_end] - distances[i][0] >= 0); + sc.insert_simplex_and_subfaces(simplex, distances[i][j_end] - distances[i][0]); + j_end++; + } + } + sc.set_dimension(limD); + } + + //@} + +private: + /* \brief Adds recursively all the faces of a certain dimension dim witnessed by the same witness + * Iterator is needed to know until how far we can take landmarks to form simplexes + * simplex is the prefix of the simplexes to insert + * The output value indicates if the witness rests active or not + */ + void add_all_witnessed_faces(std::vector::const_iterator curr_d, + std::vector::const_iterator curr_l, + std::vector::const_iterator end) + { + std::vector simplex; + std::vector::const_iterator l_end = curr_l; + for (; l_end != end; ++l_end) { + std::vector::const_iterator l_it = curr_l; + std::vector::const_iterator d_it = curr_d; + simplex = {}; + for (; l_it != l_end; ++l_it, ++d_it) + simplex.push_back(*l_it); + sc.insert_simplex_and_subfaces(simplex, *(d_it--) - *curr_d); + } + } + + /** \brief Check if the facets of the k-dimensional simplex witnessed + * by witness witness_id are already in the complex. + * inserted_vertex is the handle of the (k+1)-th vertex witnessed by witness_id + */ + bool all_faces_in(std::vector& simplex, double* filtration_value) + { + std::vector< int > facet; + for (std::vector::iterator not_it = simplex.begin(); not_it != simplex.end(); ++not_it) + { + facet.clear(); + for (std::vector::iterator it = simplex.begin(); it != simplex.end(); ++it) + if (it != not_it) + facet.push_back(*it); + Simplex_handle facet_sh = sc.find(facet); + if (facet_sh == sc.null_simplex()) + return false; + else if (sc.filtration(facet_sh) > *filtration_value) + *filtration_value = sc.filtration(facet_sh); + } + return true; + } + + bool is_face(Simplex_handle face, Simplex_handle coface) + { + // vertex range is sorted in decreasing order + auto fvr = sc.simplex_vertex_range(face); + auto cfvr = sc.simplex_vertex_range(coface); + auto fv_it = fvr.begin(); + auto cfv_it = cfvr.begin(); + while (fv_it != fvr.end() && cfv_it != cfvr.end()) { + if (*fv_it < *cfv_it) + ++cfv_it; + else if (*fv_it == *cfv_it) { + ++cfv_it; + ++fv_it; + } + else + return false; + + } + return (fv_it == fvr.end()); + } + + // void erase_simplex(Simplex_handle sh) + // { + // auto siblings = sc.self_siblings(sh); + // auto oncles = siblings->oncles(); + // int prev_vertex = siblings->parent(); + // siblings->members().erase(sh->first); + // if (siblings->members().empty()) { + // typename typedef Simplicial_complex::Siblings Siblings; + // oncles->members().find(prev_vertex)->second.assign_children(new Siblings(oncles, prev_vertex)); + // assert(!sc.has_children(oncles->members().find(prev_vertex))); + // //delete siblings; + // } + + // } + + void elementary_collapse(Simplex_handle face_sh, Simplex_handle coface_sh) + { + erase_simplex(coface_sh); + erase_simplex(face_sh); + } + +public: + // void collapse(std::vector& simplices) + // { + // // Get a vector of simplex handles ordered by filtration value + // std::cout << sc << std::endl; + // //std::vector simplices; + // for (Simplex_handle sh: sc.filtration_simplex_range()) + // simplices.push_back(sh); + // // std::sort(simplices.begin(), + // // simplices.end(), + // // [&](Simplex_handle sh1, Simplex_handle sh2) + // // { double f1 = sc.filtration(sh1), f2 = sc.filtration(sh2); + // // return (f1 > f2) || (f1 >= f2 && sc.dimension(sh1) > sc.dimension(sh2)); }); + // // Double iteration + // auto face_it = simplices.rbegin(); + // while (face_it != simplices.rend() && sc.filtration(*face_it) != 0) { + // int coface_count = 0; + // auto reduced_coface = simplices.rbegin(); + // for (auto coface_it = simplices.rbegin(); coface_it != simplices.rend() && sc.filtration(*coface_it) != 0; ++coface_it) + // if (face_it != coface_it && is_face(*face_it, *coface_it)) { + // coface_count++; + // if (coface_count == 1) + // reduced_coface = coface_it; + // else + // break; + // } + // if (coface_count == 1) { + // std::cout << "Erase ( "; + // for (auto v: sc.simplex_vertex_range(*(--reduced_coface.base()))) + // std::cout << v << " "; + + // simplices.erase(--(reduced_coface.base())); + // //elementary_collapse(*face_it, *reduced_coface); + // std::cout << ") and then ( "; + // for (auto v: sc.simplex_vertex_range(*(--face_it.base()))) + // std::cout << v << " "; + // std::cout << ")\n"; + // simplices.erase(--((face_it++).base())); + // //face_it = simplices.rbegin(); + // //std::cout << "Size of vector: " << simplices.size() << "\n"; + // } + // else + // face_it++; + // } + // sc.initialize_filtration(); + // //std::cout << sc << std::endl; + // } + + template + void collapse(Dim_lists& dim_lists) + { + dim_lists.collapse(); + } + +private: + + /** Collapse recursively boundary faces of the given simplex + * if its filtration is bigger than alpha_lim. + */ + void rec_boundary_collapse(Simplex_handle sh, FT alpha_lim) + { + for (Simplex_handle face_it : sc.boundary_simplex_range()) { + + } + + } + +}; //class Relaxed_witness_complex + +} // namespace witness_complex + +} // namespace Gudhi + +#endif diff --git a/src/Witness_complex/include/gudhi/Dim_list_iterator.h b/src/Witness_complex/include/gudhi/Dim_list_iterator.h new file mode 100644 index 00000000..3f23e8c9 --- /dev/null +++ b/src/Witness_complex/include/gudhi/Dim_list_iterator.h @@ -0,0 +1,155 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#ifndef DIM_LISTS_ITERATOR_H_ +#define DIM_LISTS_ITERATOR_H_ + +#include +#include +#include +#include +#include "gudhi/reader_utils.h" +#include "gudhi/distance_functions.h" +#include "gudhi/Simplex_tree.h" +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include + +// Needed for the adjacency graph in bad link search +#include +#include +#include + +namespace Gudhi { + +namespace witness_complex { + + /** \addtogroup simplex_tree + * Witness complex is a simplicial complex defined on two sets of points in \f$\mathbf{R}^D\f$: + * \f$W\f$ set of witnesses and \f$L \subseteq W\f$ set of landmarks. The simplices are based on points in \f$L\f$ + * and a simplex belongs to the witness complex if and only if it is witnessed (there exists a point \f$w \in W\f$ such that + * w is closer to the vertices of this simplex than others) and all of its faces are witnessed as well. + */ +template< class Simplex_handle > +class Dim_lists_iterator { + +private: + + typedef typename std::list::iterator List_iterator; + typedef typename std::vector>::reverse_iterator Vector_iterator; + typedef typename Gudhi::witness_complex::Dim_lists_iterator Iterator; + + + List_iterator sh_; + Vector_iterator curr_list_; + typename std::vector>& table_; + +public: + + Dim_lists_iterator(List_iterator sh, + Vector_iterator curr_list, + typename std::vector>& table) + : sh_(sh), curr_list_(curr_list), table_(table) + { + } + + Simplex_handle operator*() + { + return *sh_; + } + + Iterator operator++() + { + increment(); + return (*this); + } + + Iterator operator++(int) + { + Iterator prev_it(sh_, curr_list_, table_); + increment(); + return prev_it; + } + + Iterator dim_begin() + { + return Iterator(curr_list_->begin(), curr_list_, table_); + } + + Iterator dim_end() + { + return Iterator(curr_list_->end(), curr_list_, table_); + } + + Iterator dimp1_begin() + { + return Iterator((curr_list_-1)->begin(), curr_list_-1, table_); + } + + Iterator dimp1_end() + { + return Iterator((curr_list_-1)->end(), curr_list_-1, table_); + } + + bool operator==(const Iterator& it2) const + { + return (sh_ == it2.sh_); + } + + bool operator!=(const Iterator& it2) const + { + return (sh_ != it2.sh_); + } + + void remove_incr() + { + + } + +private: + + void increment() + { + if (++sh_ == curr_list_->end()) + if (++curr_list_ != table_.rend()) + sh_ = curr_list_->begin(); + // The iterator of the end of the table is the end of the last list + } + + +}; //class Dim_lists_iterator + +} // namespace witness_complex + +} // namespace Gudhi + +#endif diff --git a/src/Witness_complex/include/gudhi/Dim_lists.h b/src/Witness_complex/include/gudhi/Dim_lists.h new file mode 100644 index 00000000..1d1b03c3 --- /dev/null +++ b/src/Witness_complex/include/gudhi/Dim_lists.h @@ -0,0 +1,195 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#ifndef DIM_LISTS_H_ +#define DIM_LISTS_H_ + +#include +#include +#include +#include +#include "gudhi/reader_utils.h" +#include "gudhi/distance_functions.h" +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include + +// Needed for the adjacency graph in bad link search +#include +#include +#include + +namespace Gudhi { + +namespace witness_complex { + + /** \addtogroup simplex_tree + * Witness complex is a simplicial complex defined on two sets of points in \f$\mathbf{R}^D\f$: + * \f$W\f$ set of witnesses and \f$L \subseteq W\f$ set of landmarks. The simplices are based on points in \f$L\f$ + * and a simplex belongs to the witness complex if and only if it is witnessed (there exists a point \f$w \in W\f$ such that + * w is closer to the vertices of this simplex than others) and all of its faces are witnessed as well. + */ +template< class Simplicial_complex > +class Dim_lists { + +private: + + typedef typename Simplicial_complex::Simplex_handle Simplex_handle; + typedef typename Gudhi::witness_complex::Dim_lists_iterator Iterator; + + std::vector> table_; + Simplicial_complex& sc_; + +public: + + Dim_lists(Simplicial_complex & sc, int dim, double alpha_max = 100) + : sc_(sc) + { + table_ = std::vector>(dim+1); + for (auto sh: sc.filtration_simplex_range()) { + if (sc_.filtration(sh) < alpha_max) + table_[sc.dimension(sh)].push_front(sh); + } + auto t_it = table_.rbegin(); + while (t_it->empty()) { + t_it++; + table_.pop_back(); + } + } + + Iterator begin() + { + return Iterator(table_.rbegin()->begin(), table_.rbegin(), table_); + } + + Iterator end() + { + return Iterator(table_[0].end(), table_.rend(), table_); + } + + unsigned size() + { + unsigned curr_size = 0; + for (auto l: table_) + curr_size += l.size(); + return curr_size; + } + + bool is_face(Simplex_handle face, Simplex_handle coface) + { + // vertex range is sorted in decreasing order + auto fvr = sc_.simplex_vertex_range(face); + auto cfvr = sc_.simplex_vertex_range(coface); + auto fv_it = fvr.begin(); + auto cfv_it = cfvr.begin(); + while (fv_it != fvr.end() && cfv_it != cfvr.end()) { + if (*fv_it < *cfv_it) + ++cfv_it; + else if (*fv_it == *cfv_it) { + ++cfv_it; + ++fv_it; + } + else + return false; + + } + return (fv_it == fvr.end()); + } + + void output_simplices() { + std::cout << "Size of vector: " << size() << std::endl; + for (auto line_it = table_.rbegin(); line_it != table_.rend(); ++line_it) + for (auto sh: *line_it) { + std::cout << sc_.dimension(sh) << " "; + for (auto v : sc_.simplex_vertex_range(sh)) + std::cout << v << " "; + std::cout << sc_.filtration(sh) << "\n"; + } + } + + void collapse() + { + auto coface_list_it = table_.rbegin(); + auto face_list_it = table_.rbegin()+1; + for ( ; + face_list_it != table_.rend(); + ++face_list_it) { + auto face_it = face_list_it->begin(); + while (face_it != face_list_it->end() && sc_.filtration(*face_it) != 0) { + int coface_count = 0; + auto reduced_coface = coface_list_it->begin(); + for (auto coface_it = coface_list_it->begin(); coface_it != coface_list_it->end() && sc_.filtration(*coface_it) != 0; ++coface_it) + if (is_face(*face_it, *coface_it)) { + coface_count++; + if (coface_count == 1) + reduced_coface = coface_it; + else + break; + } + if (coface_count == 1) { + /* + std::cout << "Erase ( "; + for (auto v: sc_.simplex_vertex_range(*reduced_coface)) + std::cout << v << " "; + */ + coface_list_it->erase(reduced_coface); + /* + std::cout << ") and then ( "; + for (auto v: sc_.simplex_vertex_range(*face_it)) + std::cout << v << " "; + std::cout << ")\n"; + */ + face_list_it->erase(face_it); + face_it = face_list_it->begin(); + } + else + face_it++; + } + if ((coface_list_it++)->empty()) + table_.pop_back(); + } + } + + bool is_pseudomanifold() + { + + return true; + } + +}; //class Dim_lists + +} // namespace witness_complex + +} // namespace Gudhi + +#endif diff --git a/src/Witness_complex/include/gudhi/Good_links.h b/src/Witness_complex/include/gudhi/Good_links.h new file mode 100644 index 00000000..a011c032 --- /dev/null +++ b/src/Witness_complex/include/gudhi/Good_links.h @@ -0,0 +1,72 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#ifndef GOOD_LINKS_H_ +#define GOOD_LINKS_H_ + +#include +#include +#include +#include +#include "gudhi/reader_utils.h" +#include "gudhi/distance_functions.h" +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include + +// Needed for the adjacency graph in bad link search +#include +#include +#include + +namespace Gudhi { + +namespace witness_complex { + + /** \addtogroup simplex_tree + * Witness complex is a simplicial complex defined on two sets of points in \f$\mathbf{R}^D\f$: + * \f$W\f$ set of witnesses and \f$L \subseteq W\f$ set of landmarks. The simplices are based on points in \f$L\f$ + * and a simplex belongs to the witness complex if and only if it is witnessed (there exists a point \f$w \in W\f$ such that + * w is closer to the vertices of this simplex than others) and all of its faces are witnessed as well. + */ +template< class Simplicial_complex > +bool good_links(Simplicial_complex& sc_) +{ + +} + +} // namespace witness_complex + +} // namespace Gudhi + +#endif diff --git a/src/Witness_complex/include/gudhi/Relaxed_witness_complex.h b/src/Witness_complex/include/gudhi/Relaxed_witness_complex.h index 04dc37d4..2971149a 100644 --- a/src/Witness_complex/include/gudhi/Relaxed_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Relaxed_witness_complex.h @@ -83,6 +83,7 @@ private: private: typedef typename Simplicial_complex::Simplex_handle Simplex_handle; typedef typename Simplicial_complex::Vertex_handle Vertex_handle; + typedef typename Simplicial_complex::Filtration_value FT; typedef std::vector< double > Point_t; typedef std::vector< Point_t > Point_Vector; @@ -197,7 +198,7 @@ private: std::vector::const_iterator l_it = curr_l; std::vector::const_iterator d_it = curr_d; if (dim > 0) - for (; *d_it - alpha < norelax_dist && l_it != end; ++l_it, ++d_it) { + for (; *d_it - alpha <= norelax_dist && l_it != end; ++l_it, ++d_it) { simplex.push_back(*l_it); if (sc.find(simplex) != sc.null_simplex()) will_be_active = add_all_faces_of_dimension(dim-1, @@ -209,7 +210,7 @@ private: end) || will_be_active; simplex.pop_back(); // If norelax_dist is infinity, change to first omitted distance - if (*d_it < norelax_dist) + if (*d_it <= norelax_dist) norelax_dist = *d_it; will_be_active = add_all_faces_of_dimension(dim-1, alpha, @@ -220,17 +221,16 @@ private: end) || will_be_active; } else if (dim == 0) - for (; *d_it - alpha < norelax_dist && l_it != end; ++l_it, ++d_it) { + for (; *d_it - alpha <= norelax_dist && l_it != end; ++l_it, ++d_it) { simplex.push_back(*l_it); double filtration_value = 0; // if norelax_dist is infinite, relaxation is 0. if (*d_it > norelax_dist) filtration_value = *d_it - norelax_dist; - if (all_faces_in(simplex, &filtration_value)) - { - will_be_active = true; - sc.insert_simplex(simplex, filtration_value); - } + if (all_faces_in(simplex, &filtration_value)) { + will_be_active = true; + sc.insert_simplex(simplex, filtration_value); + } simplex.pop_back(); // If norelax_dist is infinity, change to first omitted distance if (*d_it < norelax_dist) @@ -260,11 +260,120 @@ private: } return true; } - -}; //class Witness_complex + + bool is_face(Simplex_handle face, Simplex_handle coface) + { + // vertex range is sorted in decreasing order + auto fvr = sc.simplex_vertex_range(face); + auto cfvr = sc.simplex_vertex_range(coface); + auto fv_it = fvr.begin(); + auto cfv_it = cfvr.begin(); + while (fv_it != fvr.end() && cfv_it != cfvr.end()) { + if (*fv_it < *cfv_it) + ++cfv_it; + else if (*fv_it == *cfv_it) { + ++cfv_it; + ++fv_it; + } + else + return false; + + } + return (fv_it == fvr.end()); + } + + // void erase_simplex(Simplex_handle sh) + // { + // auto siblings = sc.self_siblings(sh); + // auto oncles = siblings->oncles(); + // int prev_vertex = siblings->parent(); + // siblings->members().erase(sh->first); + // if (siblings->members().empty()) { + // typename typedef Simplicial_complex::Siblings Siblings; + // oncles->members().find(prev_vertex)->second.assign_children(new Siblings(oncles, prev_vertex)); + // assert(!sc.has_children(oncles->members().find(prev_vertex))); + // //delete siblings; + // } + + // } + + void elementary_collapse(Simplex_handle face_sh, Simplex_handle coface_sh) + { + erase_simplex(coface_sh); + erase_simplex(face_sh); + } + +public: + // void collapse(std::vector& simplices) + // { + // // Get a vector of simplex handles ordered by filtration value + // std::cout << sc << std::endl; + // //std::vector simplices; + // for (Simplex_handle sh: sc.filtration_simplex_range()) + // simplices.push_back(sh); + // // std::sort(simplices.begin(), + // // simplices.end(), + // // [&](Simplex_handle sh1, Simplex_handle sh2) + // // { double f1 = sc.filtration(sh1), f2 = sc.filtration(sh2); + // // return (f1 > f2) || (f1 >= f2 && sc.dimension(sh1) > sc.dimension(sh2)); }); + // // Double iteration + // auto face_it = simplices.rbegin(); + // while (face_it != simplices.rend() && sc.filtration(*face_it) != 0) { + // int coface_count = 0; + // auto reduced_coface = simplices.rbegin(); + // for (auto coface_it = simplices.rbegin(); coface_it != simplices.rend() && sc.filtration(*coface_it) != 0; ++coface_it) + // if (face_it != coface_it && is_face(*face_it, *coface_it)) { + // coface_count++; + // if (coface_count == 1) + // reduced_coface = coface_it; + // else + // break; + // } + // if (coface_count == 1) { + // std::cout << "Erase ( "; + // for (auto v: sc.simplex_vertex_range(*(--reduced_coface.base()))) + // std::cout << v << " "; + + // simplices.erase(--(reduced_coface.base())); + // //elementary_collapse(*face_it, *reduced_coface); + // std::cout << ") and then ( "; + // for (auto v: sc.simplex_vertex_range(*(--face_it.base()))) + // std::cout << v << " "; + // std::cout << ")\n"; + // simplices.erase(--((face_it++).base())); + // //face_it = simplices.rbegin(); + // //std::cout << "Size of vector: " << simplices.size() << "\n"; + // } + // else + // face_it++; + // } + // sc.initialize_filtration(); + // //std::cout << sc << std::endl; + // } + + template + void collapse(Dim_lists& dim_lists) + { + dim_lists.collapse(); + } + +private: + + /** Collapse recursively boundary faces of the given simplex + * if its filtration is bigger than alpha_lim. + */ + void rec_boundary_collapse(Simplex_handle sh, FT alpha_lim) + { + for (Simplex_handle face_it : sc.boundary_simplex_range()) { + + } + + } + +}; //class Relaxed_witness_complex } // namespace witness_complex -} // namespace Guhdi +} // namespace Gudhi #endif diff --git a/src/Witness_complex/include/gudhi/Strange_witness_complex.h b/src/Witness_complex/include/gudhi/Strange_witness_complex.h new file mode 100644 index 00000000..c1c2912b --- /dev/null +++ b/src/Witness_complex/include/gudhi/Strange_witness_complex.h @@ -0,0 +1,232 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#ifndef WITNESS_COMPLEX_H_ +#define WITNESS_COMPLEX_H_ + +// Needed for the adjacency graph in bad link search +#include +#include +#include + +#include +#include + +#include + +#include +#include +#include +#include +#include +#include +#include +#include +#include + +namespace Gudhi { + +namespace witness_complex { + +/** + \class Witness_complex + \brief Constructs the witness complex for the given set of witnesses and landmarks. + \ingroup witness_complex + */ +template< class Simplicial_complex> +class Strange_witness_complex { + private: + struct Active_witness { + int witness_id; + int landmark_id; + + Active_witness(int witness_id_, int landmark_id_) + : witness_id(witness_id_), + landmark_id(landmark_id_) { } + }; + + private: + typedef typename Simplicial_complex::Simplex_handle Simplex_handle; + typedef typename Simplicial_complex::Vertex_handle Vertex_handle; + + typedef std::vector< double > Point_t; + typedef std::vector< Point_t > Point_Vector; + + // typedef typename Simplicial_complex::Filtration_value Filtration_value; + typedef std::vector< Vertex_handle > typeVectorVertex; + typedef std::pair< typeVectorVertex, Filtration_value> typeSimplex; + typedef std::pair< Simplex_handle, bool > typePairSimplexBool; + + typedef int Witness_id; + typedef int Landmark_id; + typedef std::list< Vertex_handle > ActiveWitnessList; + + private: + int nbL; // Number of landmarks + Simplicial_complex& sc; // Simplicial complex + + public: + ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////// + /** @name Constructor + */ + + //@{ + + // Witness_range> + + /** + * \brief Iterative construction of the witness complex. + * \details The witness complex is written in sc_ basing on a matrix knn of + * nearest neighbours of the form {witnesses}x{landmarks}. + * + * The type KNearestNeighbors can be seen as + * Witness_range>, where + * Witness_range and Closest_landmark_range are random access ranges. + * + * Constructor takes into account at most (dim+1) + * first landmarks from each landmark range to construct simplices. + * + * Landmarks are supposed to be in [0,nbL_-1] + */ + template< typename KNearestNeighbors > + Strange_witness_complex(KNearestNeighbors const & knn, + Simplicial_complex & sc_, + int nbL_, + int dim) : nbL(nbL_), sc(sc_) { + // Construction of the active witness list + int nbW = knn.size(); + typeVectorVertex vv; + int counter = 0; + /* The list of still useful witnesses + * it will diminuish in the course of iterations + */ + for (int i = 0; i != nbL; ++i) { + // initial fill of 0-dimensional simplices + // by doing it we don't assume that landmarks are necessarily witnesses themselves anymore + counter++; + vv = {i}; + sc.insert_simplex(vv); + // TODO(SK) Error if not inserted : normally no need here though + } + for (int i = 0; i != nbW; ++i) { + std::vector simplex; + simplex.reserve(dim+1); + for (int j = 0; j <= dim; j++) + simplex.push_back(knn[i][j]); + sc.insert_simplex_and_subfaces(simplex); + } + } + + //@} + + private: + /** \brief Check if the facets of the k-dimensional simplex witnessed + * by witness witness_id are already in the complex. + * inserted_vertex is the handle of the (k+1)-th vertex witnessed by witness_id + */ + template + bool all_faces_in(KNearestNeighbors const &knn, int witness_id, int k) { + // std::cout << "All face in with the landmark " << inserted_vertex << std::endl; + std::vector< Vertex_handle > facet; + // Vertex_handle curr_vh = curr_sh->first; + // CHECK ALL THE FACETS + for (int i = 0; i != k + 1; ++i) { + facet = {}; + for (int j = 0; j != k + 1; ++j) { + if (j != i) { + facet.push_back(knn[witness_id][j]); + } + } // endfor + if (sc.find(facet) == sc.null_simplex()) + return false; + // std::cout << "++++ finished loop safely\n"; + } // endfor + return true; + } + + template + static void print_vector(const std::vector& v) { + std::cout << "["; + if (!v.empty()) { + std::cout << *(v.begin()); + for (auto it = v.begin() + 1; it != v.end(); ++it) { + std::cout << ","; + std::cout << *it; + } + } + std::cout << "]"; + } + + public: + /** + * \brief Verification if every simplex in the complex is witnessed by witnesses in knn. + * \param print_output =true will print the witnesses for each simplex + * \remark Added for debugging purposes. + */ + template< class KNearestNeighbors > + bool is_witness_complex(KNearestNeighbors const & knn, bool print_output) { + // bool final_result = true; + for (Simplex_handle sh : sc.complex_simplex_range()) { + bool is_witnessed = false; + typeVectorVertex simplex; + int nbV = 0; // number of verticed in the simplex + for (int v : sc.simplex_vertex_range(sh)) + simplex.push_back(v); + nbV = simplex.size(); + for (typeVectorVertex w : knn) { + bool has_vertices = true; + for (int v : simplex) + if (std::find(w.begin(), w.begin() + nbV, v) == w.begin() + nbV) { + has_vertices = false; + // break; + } + if (has_vertices) { + is_witnessed = true; + if (print_output) { + std::cout << "The simplex "; + print_vector(simplex); + std::cout << " is witnessed by the witness "; + print_vector(w); + std::cout << std::endl; + } + break; + } + } + if (!is_witnessed) { + if (print_output) { + std::cout << "The following simplex is not witnessed "; + print_vector(simplex); + std::cout << std::endl; + } + assert(is_witnessed); + return false; + } + } + return true; + } +}; + +} // namespace witness_complex + +} // namespace Gudhi + +#endif // WITNESS_COMPLEX_H_ diff --git a/src/Witness_complex/include/gudhi/Strong_relaxed_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_relaxed_witness_complex.h new file mode 100644 index 00000000..ee863a42 --- /dev/null +++ b/src/Witness_complex/include/gudhi/Strong_relaxed_witness_complex.h @@ -0,0 +1,337 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#ifndef STRONG_RELAXED_WITNESS_COMPLEX_H_ +#define STRONG_RELAXED_WITNESS_COMPLEX_H_ + +#include +#include +#include +#include +#include "gudhi/reader_utils.h" +#include "gudhi/distance_functions.h" +#include "gudhi/Simplex_tree.h" +#include +#include +#include +#include +#include +#include +#include +#include + +// Needed for nearest neighbours +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include + +// Needed for the adjacency graph in bad link search +#include +#include +#include + +namespace Gudhi { + +namespace witness_complex { + + /** \addtogroup simplex_tree + * Witness complex is a simplicial complex defined on two sets of points in \f$\mathbf{R}^D\f$: + * \f$W\f$ set of witnesses and \f$L \subseteq W\f$ set of landmarks. The simplices are based on points in \f$L\f$ + * and a simplex belongs to the witness complex if and only if it is witnessed (there exists a point \f$w \in W\f$ such that + * w is closer to the vertices of this simplex than others) and all of its faces are witnessed as well. + */ +template< class Simplicial_complex > +class Strong_relaxed_witness_complex { + +private: + struct Active_witness { + int witness_id; + int landmark_id; + + Active_witness(int witness_id_, int landmark_id_) + : witness_id(witness_id_), + landmark_id(landmark_id_) { } + }; + +private: + typedef typename Simplicial_complex::Simplex_handle Simplex_handle; + typedef typename Simplicial_complex::Vertex_handle Vertex_handle; + typedef typename Simplicial_complex::Filtration_value FT; + + typedef std::vector< double > Point_t; + typedef std::vector< Point_t > Point_Vector; + + // typedef typename Simplicial_complex::Filtration_value Filtration_value; + typedef std::vector< Vertex_handle > typeVectorVertex; + typedef std::pair< typeVectorVertex, Filtration_value> typeSimplex; + typedef std::pair< Simplex_handle, bool > typePairSimplexBool; + + typedef int Witness_id; + typedef int Landmark_id; + typedef std::list< Vertex_handle > ActiveWitnessList; + + private: + int nbL; // Number of landmarks + Simplicial_complex& sc; // Simplicial complex + + public: + /** @name Constructor + */ + + //@{ + + /** + * \brief Iterative construction of the relaxed witness complex. + * \details The witness complex is written in sc_ basing on a matrix knn + * of k nearest neighbours of the form {witnesses}x{landmarks} and + * and a matrix distances of distances to these landmarks from witnesses. + * The parameter alpha defines relaxation and + * limD defines the + * + * The line lengths in one given matrix can differ, + * however both matrices have the same corresponding line lengths. + * + * The type KNearestNeighbors can be seen as + * Witness_range>, where + * Witness_range and Closest_landmark_range are random access ranges. + * + * Constructor takes into account at most (dim+1) + * first landmarks from each landmark range to construct simplices. + * + * Landmarks are supposed to be in [0,nbL_-1] + */ + + template< typename KNearestNeighbours > + Strong_relaxed_witness_complex(std::vector< std::vector > const & distances, + KNearestNeighbours const & knn, + Simplicial_complex & sc_, + int nbL_, + double alpha2, + unsigned limD) : nbL(nbL_), sc(sc_) { + int nbW = knn.size(); + typeVectorVertex vv; + //int counter = 0; + /* The list of still useful witnesses + * it will diminuish in the course of iterations + */ + ActiveWitnessList active_w;// = new ActiveWitnessList(); + for (int i = 0; i != nbL; ++i) { + // initial fill of 0-dimensional simplices + // by doing it we don't assume that landmarks are necessarily witnesses themselves anymore + //counter++; + vv = {i}; + sc.insert_simplex(vv, Filtration_value(0.0)); + /* TODO Error if not inserted : normally no need here though*/ + } + for (int i=0; i != nbW; ++i) { + // int i_end = limD+1; + // if (knn[i].size() < limD+1) + // i_end = knn[i].size(); + // double dist_wL = *(distances[i].begin()); + // while (distances[i][i_end] > dist_wL + alpha2) + // i_end--; + // add_all_witnessed_faces(distances[i].begin(), + // knn[i].begin(), + // knn[i].begin() + i_end + 1); + unsigned j_end = 0; + while (j_end < distances[i].size() && j_end <= limD && distances[i][j_end] <= distances[i][0] + alpha2) { + std::vector simplex; + for (unsigned j = 0; j <= j_end; ++j) + simplex.push_back(knn[i][j]); + assert(distances[i][j_end] - distances[i][0] >= 0); + sc.insert_simplex_and_subfaces(simplex, distances[i][j_end] - distances[i][0]); + j_end++; + } + } + sc.set_dimension(limD); + } + + //@} + +private: + /* \brief Adds recursively all the faces of a certain dimension dim witnessed by the same witness + * Iterator is needed to know until how far we can take landmarks to form simplexes + * simplex is the prefix of the simplexes to insert + * The output value indicates if the witness rests active or not + */ + void add_all_witnessed_faces(std::vector::const_iterator curr_d, + std::vector::const_iterator curr_l, + std::vector::const_iterator end) + { + std::vector simplex; + std::vector::const_iterator l_end = curr_l; + for (; l_end != end; ++l_end) { + std::vector::const_iterator l_it = curr_l; + std::vector::const_iterator d_it = curr_d; + simplex = {}; + for (; l_it != l_end; ++l_it, ++d_it) + simplex.push_back(*l_it); + sc.insert_simplex_and_subfaces(simplex, *(d_it--) - *curr_d); + } + } + + /** \brief Check if the facets of the k-dimensional simplex witnessed + * by witness witness_id are already in the complex. + * inserted_vertex is the handle of the (k+1)-th vertex witnessed by witness_id + */ + bool all_faces_in(std::vector& simplex, double* filtration_value) + { + std::vector< int > facet; + for (std::vector::iterator not_it = simplex.begin(); not_it != simplex.end(); ++not_it) + { + facet.clear(); + for (std::vector::iterator it = simplex.begin(); it != simplex.end(); ++it) + if (it != not_it) + facet.push_back(*it); + Simplex_handle facet_sh = sc.find(facet); + if (facet_sh == sc.null_simplex()) + return false; + else if (sc.filtration(facet_sh) > *filtration_value) + *filtration_value = sc.filtration(facet_sh); + } + return true; + } + + bool is_face(Simplex_handle face, Simplex_handle coface) + { + // vertex range is sorted in decreasing order + auto fvr = sc.simplex_vertex_range(face); + auto cfvr = sc.simplex_vertex_range(coface); + auto fv_it = fvr.begin(); + auto cfv_it = cfvr.begin(); + while (fv_it != fvr.end() && cfv_it != cfvr.end()) { + if (*fv_it < *cfv_it) + ++cfv_it; + else if (*fv_it == *cfv_it) { + ++cfv_it; + ++fv_it; + } + else + return false; + + } + return (fv_it == fvr.end()); + } + + // void erase_simplex(Simplex_handle sh) + // { + // auto siblings = sc.self_siblings(sh); + // auto oncles = siblings->oncles(); + // int prev_vertex = siblings->parent(); + // siblings->members().erase(sh->first); + // if (siblings->members().empty()) { + // typename typedef Simplicial_complex::Siblings Siblings; + // oncles->members().find(prev_vertex)->second.assign_children(new Siblings(oncles, prev_vertex)); + // assert(!sc.has_children(oncles->members().find(prev_vertex))); + // //delete siblings; + // } + + // } + + void elementary_collapse(Simplex_handle face_sh, Simplex_handle coface_sh) + { + erase_simplex(coface_sh); + erase_simplex(face_sh); + } + +public: + // void collapse(std::vector& simplices) + // { + // // Get a vector of simplex handles ordered by filtration value + // std::cout << sc << std::endl; + // //std::vector simplices; + // for (Simplex_handle sh: sc.filtration_simplex_range()) + // simplices.push_back(sh); + // // std::sort(simplices.begin(), + // // simplices.end(), + // // [&](Simplex_handle sh1, Simplex_handle sh2) + // // { double f1 = sc.filtration(sh1), f2 = sc.filtration(sh2); + // // return (f1 > f2) || (f1 >= f2 && sc.dimension(sh1) > sc.dimension(sh2)); }); + // // Double iteration + // auto face_it = simplices.rbegin(); + // while (face_it != simplices.rend() && sc.filtration(*face_it) != 0) { + // int coface_count = 0; + // auto reduced_coface = simplices.rbegin(); + // for (auto coface_it = simplices.rbegin(); coface_it != simplices.rend() && sc.filtration(*coface_it) != 0; ++coface_it) + // if (face_it != coface_it && is_face(*face_it, *coface_it)) { + // coface_count++; + // if (coface_count == 1) + // reduced_coface = coface_it; + // else + // break; + // } + // if (coface_count == 1) { + // std::cout << "Erase ( "; + // for (auto v: sc.simplex_vertex_range(*(--reduced_coface.base()))) + // std::cout << v << " "; + + // simplices.erase(--(reduced_coface.base())); + // //elementary_collapse(*face_it, *reduced_coface); + // std::cout << ") and then ( "; + // for (auto v: sc.simplex_vertex_range(*(--face_it.base()))) + // std::cout << v << " "; + // std::cout << ")\n"; + // simplices.erase(--((face_it++).base())); + // //face_it = simplices.rbegin(); + // //std::cout << "Size of vector: " << simplices.size() << "\n"; + // } + // else + // face_it++; + // } + // sc.initialize_filtration(); + // //std::cout << sc << std::endl; + // } + + template + void collapse(Dim_lists& dim_lists) + { + dim_lists.collapse(); + } + +private: + + /** Collapse recursively boundary faces of the given simplex + * if its filtration is bigger than alpha_lim. + */ + void rec_boundary_collapse(Simplex_handle sh, FT alpha_lim) + { + for (Simplex_handle face_it : sc.boundary_simplex_range()) { + + } + + } + +}; //class Strong_relaxed_witness_complex + +} // namespace witness_complex + +} // namespace Gudhi + +#endif diff --git a/src/Witness_complex/include/gudhi/Weak_relaxed_witness_complex.h b/src/Witness_complex/include/gudhi/Weak_relaxed_witness_complex.h new file mode 100644 index 00000000..a1aedd8e --- /dev/null +++ b/src/Witness_complex/include/gudhi/Weak_relaxed_witness_complex.h @@ -0,0 +1,379 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#ifndef WEAK_RELAXED_WITNESS_COMPLEX_H_ +#define WEAK_RELAXED_WITNESS_COMPLEX_H_ + +#include +#include +#include +#include +#include "gudhi/reader_utils.h" +#include "gudhi/distance_functions.h" +#include "gudhi/Simplex_tree.h" +#include +#include +#include +#include +#include +#include +#include +#include + +// Needed for nearest neighbours +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include + +// Needed for the adjacency graph in bad link search +#include +#include +#include + +namespace Gudhi { + +namespace witness_complex { + + /** \addtogroup simplex_tree + * Witness complex is a simplicial complex defined on two sets of points in \f$\mathbf{R}^D\f$: + * \f$W\f$ set of witnesses and \f$L \subseteq W\f$ set of landmarks. The simplices are based on points in \f$L\f$ + * and a simplex belongs to the witness complex if and only if it is witnessed (there exists a point \f$w \in W\f$ such that + * w is closer to the vertices of this simplex than others) and all of its faces are witnessed as well. + */ +template< class Simplicial_complex > +class Weak_relaxed_witness_complex { + +private: + struct Active_witness { + int witness_id; + int landmark_id; + + Active_witness(int witness_id_, int landmark_id_) + : witness_id(witness_id_), + landmark_id(landmark_id_) { } + }; + +private: + typedef typename Simplicial_complex::Simplex_handle Simplex_handle; + typedef typename Simplicial_complex::Vertex_handle Vertex_handle; + typedef typename Simplicial_complex::Filtration_value FT; + + typedef std::vector< double > Point_t; + typedef std::vector< Point_t > Point_Vector; + + // typedef typename Simplicial_complex::Filtration_value Filtration_value; + typedef std::vector< Vertex_handle > typeVectorVertex; + typedef std::pair< typeVectorVertex, Filtration_value> typeSimplex; + typedef std::pair< Simplex_handle, bool > typePairSimplexBool; + + typedef int Witness_id; + typedef int Landmark_id; + typedef std::list< Vertex_handle > ActiveWitnessList; + + private: + int nbL; // Number of landmarks + Simplicial_complex& sc; // Simplicial complex + + public: + /** @name Constructor + */ + + //@{ + + /** + * \brief Iterative construction of the relaxed witness complex. + * \details The witness complex is written in sc_ basing on a matrix knn + * of k nearest neighbours of the form {witnesses}x{landmarks} and + * and a matrix distances of distances to these landmarks from witnesses. + * The parameter alpha defines relaxation and + * limD defines the + * + * The line lengths in one given matrix can differ, + * however both matrices have the same corresponding line lengths. + * + * The type KNearestNeighbors can be seen as + * Witness_range>, where + * Witness_range and Closest_landmark_range are random access ranges. + * + * Constructor takes into account at most (dim+1) + * first landmarks from each landmark range to construct simplices. + * + * Landmarks are supposed to be in [0,nbL_-1] + */ + + template< typename KNearestNeighbours > + Weak_relaxed_witness_complex(std::vector< std::vector > const & distances, + KNearestNeighbours const & knn, + Simplicial_complex & sc_, + int nbL_, + double alpha, + int limD) : nbL(nbL_), sc(sc_) { + int nbW = knn.size(); + typeVectorVertex vv; + //int counter = 0; + /* The list of still useful witnesses + * it will diminuish in the course of iterations + */ + ActiveWitnessList active_w;// = new ActiveWitnessList(); + for (int i = 0; i != nbL; ++i) { + // initial fill of 0-dimensional simplices + // by doing it we don't assume that landmarks are necessarily witnesses themselves anymore + //counter++; + vv = {i}; + sc.insert_simplex(vv, Filtration_value(0.0)); + /* TODO Error if not inserted : normally no need here though*/ + } + int k = 1; /* current dimension in iterative construction */ + for (int i=0; i != nbW; ++i) + active_w.push_back(i); + while (!active_w.empty() && k <= limD && k < nbL ) + { + typename ActiveWitnessList::iterator aw_it = active_w.begin(); + while (aw_it != active_w.end()) + { + std::vector simplex; + bool ok = add_all_faces_of_dimension(k, + alpha, + std::numeric_limits::infinity(), + distances[*aw_it].begin(), + knn[*aw_it].begin(), + simplex, + knn[*aw_it].end()); + if (!ok) + active_w.erase(aw_it++); //First increase the iterator and then erase the previous element + else + aw_it++; + } + k++; + } + sc.set_dimension(limD); + } + + //@} + +private: + /* \brief Adds recursively all the faces of a certain dimension dim witnessed by the same witness + * Iterator is needed to know until how far we can take landmarks to form simplexes + * simplex is the prefix of the simplexes to insert + * The output value indicates if the witness rests active or not + */ + bool add_all_faces_of_dimension(int dim, + double alpha, + double norelax_dist, + std::vector::const_iterator curr_d, + std::vector::const_iterator curr_l, + std::vector& simplex, + std::vector::const_iterator end) + { + if (curr_l == end) + return false; + bool will_be_active = false; + std::vector::const_iterator l_it = curr_l; + std::vector::const_iterator d_it = curr_d; + if (dim > 0) + for (; *d_it - alpha <= norelax_dist && l_it != end; ++l_it, ++d_it) { + simplex.push_back(*l_it); + if (sc.find(simplex) != sc.null_simplex()) + will_be_active = add_all_faces_of_dimension(dim-1, + alpha, + norelax_dist, + d_it+1, + l_it+1, + simplex, + end) || will_be_active; + simplex.pop_back(); + // If norelax_dist is infinity, change to first omitted distance + if (*d_it <= norelax_dist) + norelax_dist = *d_it; + will_be_active = add_all_faces_of_dimension(dim-1, + alpha, + norelax_dist, + d_it+1, + l_it+1, + simplex, + end) || will_be_active; + } + else if (dim == 0) + for (; *d_it - alpha <= norelax_dist && l_it != end; ++l_it, ++d_it) { + simplex.push_back(*l_it); + double filtration_value = 0; + // if norelax_dist is infinite, relaxation is 0. + if (*d_it > norelax_dist) + filtration_value = *d_it - norelax_dist; + if (all_faces_in(simplex, &filtration_value)) { + will_be_active = true; + sc.insert_simplex(simplex, filtration_value); + } + simplex.pop_back(); + // If norelax_dist is infinity, change to first omitted distance + if (*d_it < norelax_dist) + norelax_dist = *d_it; + } + return will_be_active; + } + + /** \brief Check if the facets of the k-dimensional simplex witnessed + * by witness witness_id are already in the complex. + * inserted_vertex is the handle of the (k+1)-th vertex witnessed by witness_id + */ + bool all_faces_in(std::vector& simplex, double* filtration_value) + { + std::vector< int > facet; + for (std::vector::iterator not_it = simplex.begin(); not_it != simplex.end(); ++not_it) + { + facet.clear(); + for (std::vector::iterator it = simplex.begin(); it != simplex.end(); ++it) + if (it != not_it) + facet.push_back(*it); + Simplex_handle facet_sh = sc.find(facet); + if (facet_sh == sc.null_simplex()) + return false; + else if (sc.filtration(facet_sh) > *filtration_value) + *filtration_value = sc.filtration(facet_sh); + } + return true; + } + + bool is_face(Simplex_handle face, Simplex_handle coface) + { + // vertex range is sorted in decreasing order + auto fvr = sc.simplex_vertex_range(face); + auto cfvr = sc.simplex_vertex_range(coface); + auto fv_it = fvr.begin(); + auto cfv_it = cfvr.begin(); + while (fv_it != fvr.end() && cfv_it != cfvr.end()) { + if (*fv_it < *cfv_it) + ++cfv_it; + else if (*fv_it == *cfv_it) { + ++cfv_it; + ++fv_it; + } + else + return false; + + } + return (fv_it == fvr.end()); + } + + // void erase_simplex(Simplex_handle sh) + // { + // auto siblings = sc.self_siblings(sh); + // auto oncles = siblings->oncles(); + // int prev_vertex = siblings->parent(); + // siblings->members().erase(sh->first); + // if (siblings->members().empty()) { + // typename typedef Simplicial_complex::Siblings Siblings; + // oncles->members().find(prev_vertex)->second.assign_children(new Siblings(oncles, prev_vertex)); + // assert(!sc.has_children(oncles->members().find(prev_vertex))); + // //delete siblings; + // } + + // } + + void elementary_collapse(Simplex_handle face_sh, Simplex_handle coface_sh) + { + erase_simplex(coface_sh); + erase_simplex(face_sh); + } + +public: + // void collapse(std::vector& simplices) + // { + // // Get a vector of simplex handles ordered by filtration value + // std::cout << sc << std::endl; + // //std::vector simplices; + // for (Simplex_handle sh: sc.filtration_simplex_range()) + // simplices.push_back(sh); + // // std::sort(simplices.begin(), + // // simplices.end(), + // // [&](Simplex_handle sh1, Simplex_handle sh2) + // // { double f1 = sc.filtration(sh1), f2 = sc.filtration(sh2); + // // return (f1 > f2) || (f1 >= f2 && sc.dimension(sh1) > sc.dimension(sh2)); }); + // // Double iteration + // auto face_it = simplices.rbegin(); + // while (face_it != simplices.rend() && sc.filtration(*face_it) != 0) { + // int coface_count = 0; + // auto reduced_coface = simplices.rbegin(); + // for (auto coface_it = simplices.rbegin(); coface_it != simplices.rend() && sc.filtration(*coface_it) != 0; ++coface_it) + // if (face_it != coface_it && is_face(*face_it, *coface_it)) { + // coface_count++; + // if (coface_count == 1) + // reduced_coface = coface_it; + // else + // break; + // } + // if (coface_count == 1) { + // std::cout << "Erase ( "; + // for (auto v: sc.simplex_vertex_range(*(--reduced_coface.base()))) + // std::cout << v << " "; + + // simplices.erase(--(reduced_coface.base())); + // //elementary_collapse(*face_it, *reduced_coface); + // std::cout << ") and then ( "; + // for (auto v: sc.simplex_vertex_range(*(--face_it.base()))) + // std::cout << v << " "; + // std::cout << ")\n"; + // simplices.erase(--((face_it++).base())); + // //face_it = simplices.rbegin(); + // //std::cout << "Size of vector: " << simplices.size() << "\n"; + // } + // else + // face_it++; + // } + // sc.initialize_filtration(); + // //std::cout << sc << std::endl; + // } + + template + void collapse(Dim_lists& dim_lists) + { + dim_lists.collapse(); + } + +private: + + /** Collapse recursively boundary faces of the given simplex + * if its filtration is bigger than alpha_lim. + */ + void rec_boundary_collapse(Simplex_handle sh, FT alpha_lim) + { + for (Simplex_handle face_it : sc.boundary_simplex_range()) { + + } + + } + +}; //class Weak_relaxed_witness_complex + +} // namespace witness_complex + +} // namespace Gudhi + +#endif -- cgit v1.2.3 From 1c09c91ddf4d38196a91bbff5ae432fb13be6762 Mon Sep 17 00:00:00 2001 From: skachano Date: Wed, 28 Sep 2016 11:54:31 +0000 Subject: All work up until now git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1578 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: a9379060f1edfbc419e259b2e207ebc608798803 --- src/Witness_complex/example/CMakeLists.txt | 2 + .../example/Landmark_choice_random_knn.h | 2 +- .../example/Landmark_choice_sparsification.h | 6 +- src/Witness_complex/example/a0_persistence.cpp | 8 +- src/Witness_complex/example/bench_rwit.cpp | 329 +++++++++++------ src/Witness_complex/example/generators.h | 17 +- src/Witness_complex/example/output.h | 9 +- src/Witness_complex/include/gudhi/Good_links.h | 399 ++++++++++++++++++++- 8 files changed, 632 insertions(+), 140 deletions(-) diff --git a/src/Witness_complex/example/CMakeLists.txt b/src/Witness_complex/example/CMakeLists.txt index 80396392..d6a958b7 100644 --- a/src/Witness_complex/example/CMakeLists.txt +++ b/src/Witness_complex/example/CMakeLists.txt @@ -42,10 +42,12 @@ if(CGAL_FOUND) target_link_libraries(a0_persistence ${Boost_SYSTEM_LIBRARY} ${CGAL_LIBRARY}) add_test( a0_persistence_10 ${CMAKE_CURRENT_BINARY_DIR}/a0_persistence 10) add_executable ( bench_rwit bench_rwit.cpp ) + target_link_libraries(bench_rwit ${Boost_SYSTEM_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY}) add_executable ( relaxed_delaunay relaxed_delaunay.cpp ) target_link_libraries(relaxed_delaunay ${Boost_SYSTEM_LIBRARY} ${CGAL_LIBRARY}) add_test( relaxed_delaunay_10 ${CMAKE_CURRENT_BINARY_DIR}/relaxed_delaunay 10) + add_executable ( generate_torus generate_torus.cpp ) else() message(WARNING "Eigen3 not found. Version 3.1.0 is required for witness_complex_sphere example.") endif() diff --git a/src/Witness_complex/example/Landmark_choice_random_knn.h b/src/Witness_complex/example/Landmark_choice_random_knn.h index 3797b4c5..fb91e116 100644 --- a/src/Witness_complex/example/Landmark_choice_random_knn.h +++ b/src/Witness_complex/example/Landmark_choice_random_knn.h @@ -131,7 +131,7 @@ typedef Neighbor_search::Tree Tree; distances[points_i].push_back(sqrt(search_it->second)); knn[points_i].push_back((search_it++)->first); } - std::cout << "k = " << knn[points_i].size() << std::endl; + //std::cout << "k = " << knn[points_i].size() << std::endl; } } diff --git a/src/Witness_complex/example/Landmark_choice_sparsification.h b/src/Witness_complex/example/Landmark_choice_sparsification.h index 1052b0c4..d5d5fba1 100644 --- a/src/Witness_complex/example/Landmark_choice_sparsification.h +++ b/src/Witness_complex/example/Landmark_choice_sparsification.h @@ -74,7 +74,7 @@ namespace witness_complex { FT mu_epsilon, Point_random_access_range & landmarks) { - int nbP = points.end() - points.begin(); + unsigned nbP = points.end() - points.begin(); assert(nbP >= nbL); CGAL::Random rand; // TODO(SK) Consider using rand_r(...) instead of rand(...) for improved thread safety @@ -87,7 +87,7 @@ namespace witness_complex { typename Tree::Splitter(), points_traits); - for (int points_i = 0; points_i < nbP; points_i++) { + for (unsigned points_i = 0; points_i < nbP; points_i++) { if (dropped_points[points_i]) continue; Point_d & w = points[points_i]; @@ -98,7 +98,7 @@ namespace witness_complex { dropped_points[i] = true; } - for (int points_i = 0; points_i < nbP; points_i++) { + for (unsigned points_i = 0; points_i < nbP; points_i++) { if (dropped_points[points_i]) landmarks.push_back(points[points_i]); } diff --git a/src/Witness_complex/example/a0_persistence.cpp b/src/Witness_complex/example/a0_persistence.cpp index 295c7115..422185ca 100644 --- a/src/Witness_complex/example/a0_persistence.cpp +++ b/src/Witness_complex/example/a0_persistence.cpp @@ -138,6 +138,12 @@ void rw_experiment(Point_Vector & point_vector, int nbL, FT alpha2, int limD, FT std::cout << "Witness complex for " << nbL << " landmarks took " << time << " s. \n"; std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; + int streedim = 0; + for (auto s: simplex_tree.complex_simplex_range()) + if (simplex_tree.dimension(s) > streedim) + streedim = simplex_tree.dimension(s); + std::cout << "Dimension of the simplicial complex is " << streedim << std::endl; + //std::cout << simplex_tree << "\n"; // Compute the persistence diagram of the complex @@ -348,7 +354,7 @@ int experiment1 (int argc, char * const argv[]) read_points_cust(file_name, point_vector); std::cout << "The file contains " << point_vector.size() << " points.\n"; std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; - + Simplex_tree<> simplex_tree; std::vector > knn; std::vector > distances; diff --git a/src/Witness_complex/example/bench_rwit.cpp b/src/Witness_complex/example/bench_rwit.cpp index f83f9f42..2d3a009c 100644 --- a/src/Witness_complex/example/bench_rwit.cpp +++ b/src/Witness_complex/example/bench_rwit.cpp @@ -26,6 +26,7 @@ #include #include #include +#include #include "Landmark_choice_random_knn.h" #include "Landmark_choice_sparsification.h" @@ -44,6 +45,8 @@ #include #include +#include + #include "generators.h" #include "output.h" #include "output_tikz.h" @@ -53,14 +56,96 @@ using namespace Gudhi::witness_complex; using namespace Gudhi::persistent_cohomology; typedef std::vector Point_Vector; -typedef Simplex_tree STree; -//typedef Simplex_tree<> STree; +//typedef Simplex_tree STree; +typedef Simplex_tree<> STree; typedef A0_complex< STree> A0Complex; typedef STree::Simplex_handle Simplex_handle; typedef A0_complex< STree > SRWit; typedef Relaxed_witness_complex< STree > WRWit; +/** Program options *************************************************************** +*********************************************************************************** +*********************************************************************************** +*********************************************************************************** +**********************************************************************************/ + + +void program_options(int argc, char * const argv[] + , int & experiment_number + , std::string & filepoints + , std::string & landmark_file + , std::string & experiment_name + , int & nbL + , double & alpha2_s + , double & alpha2_w + , double & mu_epsilon + , int & dim_max + , std::vector & desired_homology + , double & min_persistence) { + namespace po = boost::program_options; + po::options_description hidden("Hidden options"); + hidden.add_options() + ("option", po::value(& experiment_number), + "Experiment id.") + ("input-file", po::value(&filepoints), + "Name of file containing a point set. Format is one point per line: X1 ... Xd "); + + po::options_description visible("Allowed options", 100); + visible.add_options() + ("help,h", "produce help message") + ("output-file,o", po::value(&experiment_name)->default_value("witness"), + "The prefix of all the output files. Default is 'witness'") + ("landmarks,L", po::value(&nbL)->default_value(0), + "Number of landmarks.") + ( "landmark-file,l", po::value(&landmark_file), + "Name of a fike containing landmarks") + ("alpha2_s,A", po::value(&alpha2_s)->default_value(0), + "Relaxation parameter for the strong complex.") + ("alpha2_w,a", po::value(&alpha2_w)->default_value(0), + "Relaxation parameter for the weak complex.") + ("mu_epsilon,e", po::value(&mu_epsilon)->default_value(0), + "Sparsification parameter.") + ("cpx-dimension,d", po::value(&dim_max)->default_value(1), + "Maximal dimension of the Witness complex we want to compute.") + + ("homology,H", po::value>(&desired_homology)->multitoken(), + "The desired Betti numbers.") + ("min-persistence,m", po::value(&min_persistence), + "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length intervals"); + + po::positional_options_description pos; + pos.add("option", 1); + pos.add("input-file", 2); + + po::options_description all; + all.add(visible).add(hidden); + + po::variables_map vm; + po::store(po::command_line_parser(argc, argv). + options(all).positional(pos).run(), vm); + po::notify(vm); + + if (vm.count("help") || !vm.count("input-file")) { + std::cout << std::endl; + std::cout << "Compute the persistent homology with coefficient field Z/3Z \n"; + std::cout << "of a Strong relaxed witness complex defined on a set of input points.\n \n"; + std::cout << "The output diagram contains one bar per line, written with the convention: \n"; + std::cout << " p dim b d \n"; + std::cout << "where dim is the dimension of the homological feature,\n"; + std::cout << "b and d are respectively the birth and death of the feature and \n"; + std::cout << "p is the characteristic of the field Z/pZ used for homology coefficients." << std::endl << std::endl; + + std::cout << "Usage: " << argv[0] << " [options] input-file" << std::endl << std::endl; + std::cout << visible << std::endl; + std::abort(); + } +} + + + + + /** * \brief Customized version of read_points * which takes into account a possible nbP first line @@ -175,6 +260,7 @@ void rw_experiment(Point_Vector & point_vector, int nbL, FT alpha2, int limD, FT Gudhi::witness_complex::Dim_lists simplices(simplex_tree, limD); // std::vector simplices; + std::cout << "Starting collapses...\n"; simplices.collapse(); simplices.output_simplices(); @@ -204,6 +290,21 @@ void rw_experiment(Point_Vector & point_vector, int nbL, FT alpha2, int limD, FT chi += 1-2*(simplex_tree.dimension(sh)%2); std::cout << "Euler characteristic is " << chi << std::endl; write_witness_mesh(point_vector, landmarks_ind, collapsed_tree, collapsed_tree.complex_simplex_range(), false, true, mesh_filename+"_after_collapse.mesh"); + Gudhi::Good_links gl(collapsed_tree); + if (gl.complex_is_pseudomanifold()) + std::cout << "Collapsed complex is a pseudomanifold.\n"; + else + std::cout << "Collapsed complex is NOT a pseudomanifold.\n"; + bool good = true; + for (auto v: collapsed_tree.complex_vertex_range()) + if (!gl.has_good_link(v)) { + std::cout << "Bad link around " << v << std::endl; + good = false; + } + if (good) + std::cout << "All links are good.\n"; + else + std::cout << "There are bad links.\n"; } void rips_experiment(Point_Vector & points, double threshold, int dim_max) @@ -267,83 +368,6 @@ int experiment0 (int argc, char * const argv[]) return 0; } -int experiment1 (int argc, char * const argv[]) -{ - if (argc != 8) { - std::cerr << "Usage: " << argv[0] - << " 1 file_name nbL alpha mu_epsilon limD experiment_name\n"; - return 0; - } - /* - boost::filesystem::path p; - for (; argc > 2; --argc, ++argv) - p /= argv[1]; - */ - - std::string file_name = argv[2]; - int nbL = atoi(argv[3]), limD = atoi(argv[6]); - double alpha2 = atof(argv[4]), mu_epsilon = atof(argv[5]); - std::string experiment_name = argv[7]; - - // Read the point file - Point_Vector point_vector; - read_points_cust(file_name, point_vector); - std::cout << "The file contains " << point_vector.size() << " points.\n"; - std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; - - STree simplex_tree; - std::vector > knn; - std::vector > distances; - std::vector landmarks; - Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); - Gudhi::witness_complex::build_distance_matrix(point_vector, // aka witnesses - landmarks, // aka landmarks - alpha2, - limD, - knn, - distances); - WRWit rw(distances, - knn, - simplex_tree, - nbL, - 0, - limD); - std::vector landmarks_ind(nbL); - for (unsigned i = 0; i != distances.size(); ++i) { - if (distances[i][0] == 0) - landmarks_ind[knn[i][0]] = i; - } - - write_witness_mesh(point_vector, landmarks_ind, simplex_tree, simplex_tree.complex_simplex_range(), false, true, experiment_name+"_witness_complex.mesh"); - - int chi = 0; - for (auto sh: simplex_tree.complex_simplex_range()) - chi += 1-2*(simplex_tree.dimension(sh)%2); - std::cout << "Euler characteristic is " << chi << std::endl; - - rw_experiment(point_vector, nbL, alpha2, limD, mu_epsilon, experiment_name); - - // ok = false; - // while (!ok) { - // std::cout << "Rips complex: parameters threshold, limD.\n"; - // std::cout << "Enter threshold: "; - // std::cin >> alpha; - // std::cout << "Enter limD: "; - // std::cin >> limD; - // std::cout << "Start Rips complex...\n"; - // rips_experiment(point_vector, alpha, limD); - // std::cout << "Is the result correct? [y/n]: "; - // char answer; - // std::cin >> answer; - // switch (answer) { - // case 'n': - // ok = false; break; - // default : - // ok = true; break; - // } - // } - return 0; -} /******************************************************************************************** * Length of the good interval experiment @@ -380,17 +404,25 @@ double good_interval_length(const std::vector & desired_homology, STree & s std::string line; std::vector pers_endpoints; while (getline(in_stream, line)) { - int p, dim; + unsigned p, dim; double alpha_start, alpha_end; std::istringstream iss(line); iss >> p >> dim >> alpha_start >> alpha_end; + if (iss.fail()) + alpha_end = alpha2; + //std::cout << p << " " << dim << " " << alpha_start << " " << alpha_end << "\n"; + //if (dim < desired_homology.size()+1) if (alpha_start != alpha_end) { - if (alpha_end < alpha_start) - alpha_end = alpha2; + // if (alpha_end < alpha_start) + // alpha_end = alpha2; pers_endpoints.push_back(Pers_endpoint(alpha_start, true, dim)); pers_endpoints.push_back(Pers_endpoint(alpha_end, false, dim)); + std::cout << p << " " << dim << " " << alpha_start << " " << alpha_end << "\n"; } } + std::cout << "desired_homology.size() = " << desired_homology.size() << "\n"; + for (auto nd: desired_homology) + std::cout << nd << std::endl; std::cout << "Pers_endpoints.size = " << pers_endpoints.size() << std::endl; in_stream.close(); std::sort(pers_endpoints.begin(), @@ -404,13 +436,20 @@ double good_interval_length(const std::vector & desired_homology, STree & s std::cout << p.alpha << " " << p.dim << " " << p.start << "\n"; } */ - std::vector current_homology(nbL-1,0); - current_homology[0] = 1; // for the compulsary "0 0 inf" entry + std::vector current_homology(desired_homology.size(),0); + //current_homology[0] = 1; // for the compulsary "0 0 inf" entry double good_start = 0, good_end = 0; double sum_intervals = 0; int num_pieces = 0; bool interval_in_process = (desired_homology == current_homology); for (auto p: pers_endpoints) { + /* + std::cout << p.alpha << " " << p.dim << " "; + if (p.start) + std::cout << "s\n"; + else + std::cout << "e\n"; + */ /* std::cout << "Treating " << p.alpha << " " << p.dim << " " << p.start << " ["; @@ -450,66 +489,114 @@ void run_comparison(std::vector > const & knn, std::vector > const & distances, Point_Vector & points, unsigned nbL, - double alpha2, + unsigned limD, + double alpha2_s, + double alpha2_w, std::vector& desired_homology) { clock_t start, end; STree simplex_tree; - alpha2 = 0.55; - std::cout << "alpha2 = " << alpha2 << "\n"; + //std::cout << "alpha2 = " << alpha2_s << "\n"; start = clock(); SRWit srwit(distances, knn, simplex_tree, nbL, - alpha2, - nbL-1); + alpha2_s, + limD); end = clock(); std::cout << "SRWit.size = " << simplex_tree.num_simplices() << std::endl; - simplex_tree.set_dimension(nbL-1); + simplex_tree.set_dimension(desired_homology.size()); std::cout << "Good homology interval length for SRWit is " - << good_interval_length(desired_homology, simplex_tree, alpha2) << "\n"; + << good_interval_length(desired_homology, simplex_tree, alpha2_s) << "\n"; std::cout << "Time: " << static_cast(end - start) / CLOCKS_PER_SEC << " s. \n"; + int chi = 0; + for (auto sh: simplex_tree.complex_simplex_range()) + chi += 1-2*(simplex_tree.dimension(sh)%2); + std::cout << "Euler characteristic is " << chi << std::endl; + STree simplex_tree2; - alpha2 = 0.35; - std::cout << "alpha2 = " << alpha2 << "\n"; + std::cout << "alpha2 = " << alpha2_w << "\n"; start = clock(); WRWit wrwit(distances, knn, simplex_tree2, nbL, - alpha2, - nbL-1); + alpha2_w, + limD); end = clock(); std::cout << "WRWit.size = " << simplex_tree2.num_simplices() << std::endl; - simplex_tree.set_dimension(nbL-1); + simplex_tree2.set_dimension(nbL-1); std::cout << "Good homology interval length for WRWit is " - << good_interval_length(desired_homology, simplex_tree2, alpha2) << "\n"; + << good_interval_length(desired_homology, simplex_tree2, alpha2_w) << "\n"; std::cout << "Time: " << static_cast(end - start) / CLOCKS_PER_SEC << " s. \n"; + chi = 0; + for (auto sh: simplex_tree2.complex_simplex_range()) + chi += 1-2*(simplex_tree2.dimension(sh)%2); + std::cout << "Euler characteristic is " << chi << std::endl; + + //write_witness_mesh(points, landmarks_ind, simplex_tree2, simplex_tree2.complex_simplex_range(), false, true, "wrwit.mesh"); - STree simplex_tree3; - std::cout << "Enter alpha2 for Rips: "; - std::cin >> alpha2; - std::cout << "\n"; - std::cout << "points.size() = " << points.size() << "\n"; - start = clock(); - rips(points, - 0.2, - nbL-1, - simplex_tree3); - end = clock(); - std::cout << "Rips.size = " << simplex_tree3.num_simplices() << std::endl; - simplex_tree.set_dimension(nbL-1); - std::cout << "Good homology interval length for WRWit is " - << good_interval_length(desired_homology, simplex_tree3, alpha2) << "\n"; - std::cout << "Time: " << static_cast(end - start) / CLOCKS_PER_SEC << " s. \n"; } +int experiment1 (int argc, char * const argv[]) +{ + /* + boost::filesystem::path p; + for (; argc > 2; --argc, ++argv) + p /= argv[1]; + */ + + // std::string file_name = argv[2]; + // int nbL = atoi(argv[3]), limD = atoi(argv[6]); + // double alpha2 = atof(argv[4]), mu_epsilon = atof(argv[5]); + // std::string experiment_name = argv[7]; + + int option = 1; + std::string file_name, landmark_file; + int nbL = 0, limD; + double alpha2_s, alpha2_w, mu_epsilon, min_pers; + std::string experiment_name; + std::vector desired_homology = {1}; + std::vector landmarks; + + program_options(argc, argv, option, file_name, landmark_file, experiment_name, nbL, alpha2_s, alpha2_w, mu_epsilon, limD, desired_homology, min_pers); + + // Read the point file + Point_Vector point_vector; + read_points_cust(file_name, point_vector); + //std::cout << "The file contains " << point_vector.size() << " points.\n"; + //std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; + //std::cout << "Limit dimension for the complexes is " << limD << ".\n"; + + if (landmark_file == "") + Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); + //Gudhi::witness_complex::landmark_choice_by_random_knn(point_vector, nbL, alpha2_s, limD, knn, distances); + else + read_points_cust(landmark_file, landmarks); + nbL = landmarks.size(); + STree simplex_tree; + std::vector > knn; + std::vector > distances; + + //Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); + Gudhi::witness_complex::build_distance_matrix(point_vector, // aka witnesses + landmarks, // aka landmarks + alpha2_s, + limD, + knn, + distances); + + run_comparison(knn, distances, point_vector, nbL, limD, alpha2_s, alpha2_w, desired_homology); + return 0; +} + + int experiment2(int argc, char * const argv[]) { for (unsigned d = 3; d < 4; d++) { @@ -524,7 +611,6 @@ int experiment2(int argc, char * const argv[]) case 4: alpha2 = 1.4; break; default: alpha2 = 1.4; break; } - std::cout << "alpha2 = " << alpha2 << "\n"; unsigned nbL = 20; std::vector desired_homology(nbL-1,0); desired_homology[0] = 1; desired_homology[d] = 1; @@ -536,19 +622,22 @@ int experiment2(int argc, char * const argv[]) std::cout << "Running test S"<< d <<", |W|=" << nbW << ", |L|=" << nbL << std::endl; generate_points_sphere(point_vector, i*1000, d+1); std::vector landmarks; - Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); + Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); + std::vector > knn; std::vector > distances; - + + std::cout << "|L| after sparsification: " << landmarks.size() << "\n"; + Gudhi::witness_complex::build_distance_matrix(point_vector, // aka witnesses landmarks, // aka landmarks alpha2, nbL-1, knn, distances); - run_comparison(knn, distances, point_vector, nbL, alpha2, desired_homology); + run_comparison(knn, distances, point_vector, nbL, nbL-1, alpha2, alpha2, desired_homology); } } /* @@ -588,7 +677,8 @@ int experiment2(int argc, char * const argv[]) int experiment3(int argc, char * const argv[]) { - // COLLAPSES EXPERIMENT + // Both witnesses and landmarks are given as input + return 0; } @@ -609,6 +699,9 @@ int main (int argc, char * const argv[]) case 2 : return experiment2(argc, argv); break; + case 3 : + return experiment3(argc, argv); + break; default : output_experiment_information(argv[0]); return 1; diff --git a/src/Witness_complex/example/generators.h b/src/Witness_complex/example/generators.h index 23915546..731a52b0 100644 --- a/src/Witness_complex/example/generators.h +++ b/src/Witness_complex/example/generators.h @@ -25,10 +25,12 @@ #include #include +#include #include #include #include +#include typedef CGAL::Epick_d K; typedef K::FT FT; @@ -144,12 +146,21 @@ void generate_points_sphere(Point_Vector& W, int nbP, int dim) { W.push_back(*rp++); } -/** \brief Generate nbP points on a d-torus +/** \brief Generate nbP points on a (flat) d-torus embedded in R^{2d} * */ void generate_points_torus(Point_Vector& W, int nbP, int dim) { - CGAL::Random_points_on_sphere_d rp(2, 1); - + CGAL::Random rand; + const double pi = std::acos(-1); + for (int i = 0; i < nbP; i++) { + std::vector point; + for (int j = 0; j < dim; j++) { + double alpha = rand.uniform_real((double)0, 2*pi); + point.push_back(sin(alpha)); + point.push_back(cos(alpha)); + } + W.push_back(Point_d(point)); + } } #endif // EXAMPLE_WITNESS_COMPLEX_GENERATORS_H_ diff --git a/src/Witness_complex/example/output.h b/src/Witness_complex/example/output.h index 0e74387a..d3f534af 100644 --- a/src/Witness_complex/example/output.h +++ b/src/Witness_complex/example/output.h @@ -73,9 +73,12 @@ void write_edges(std::string file_name, STree& witness_complex, Point_Vector& la ofs.close(); } -/** \brief Write triangles (tetrahedra in 3d) of a witness - * complex in a file, compatible with medit. - * l_is_v = landmark is vertex +/** \brief Write triangles (tetrahedra in 3d) of a simplicial complex in a file, compatible with medit. + * `landmarks_ind` represents the set of landmark indices in W + * `st` is the Simplex_tree to be visualized, + * `shr` is the Simplex_handle_range of simplices in `st` to be visualized + * `is2d` should be true if the simplicial complex is 2d, false if 3d + * `l_is_v` = landmark is vertex */ template diff --git a/src/Witness_complex/include/gudhi/Good_links.h b/src/Witness_complex/include/gudhi/Good_links.h index a011c032..c5e993e5 100644 --- a/src/Witness_complex/include/gudhi/Good_links.h +++ b/src/Witness_complex/include/gudhi/Good_links.h @@ -50,23 +50,400 @@ #include namespace Gudhi { + +template < typename Simplicial_complex > +class Good_links { + + typedef typename Simplicial_complex::Simplex_handle Simplex_handle; + typedef typename Simplicial_complex::Vertex_handle Vertex_handle; + typedef std::vector Vertex_vector; + + // graph is an adjacency list + typedef typename boost::adjacency_list Adj_graph; + // map that gives to a certain simplex its node in graph and its dimension + //typedef std::pair Reference; + typedef boost::graph_traits::vertex_descriptor Vertex_t; + typedef boost::graph_traits::edge_descriptor Edge_t; + typedef boost::graph_traits::adjacency_iterator Adj_it; + typedef std::pair Out_edge_it; + + typedef boost::container::flat_map Graph_map; + typedef boost::container::flat_map Inv_graph_map; + +public: + Good_links(Simplicial_complex& sc): sc_(sc) + { + int dim = 0; + for (auto sh: sc_.complex_simplex_range()) + if (sc_.dimension(sh) > dim) + dim = sc_.dimension(sh); + dimension = dim; + count_good = Vertex_vector(dim); + count_bad = Vertex_vector(dim); + } + +private: + + Simplicial_complex& sc_; + unsigned dimension; + std::vector count_good; + std::vector count_bad; + + void add_vertices_to_link_graph(Vertex_vector& star_vertices, + typename Vertex_vector::iterator curr_v, + Adj_graph& adj_graph, + Graph_map& d_map, + Graph_map& f_map, + Vertex_vector& curr_simplex, + int curr_d, + int link_dimension) + { + Simplex_handle sh; + Vertex_t vert; + typename Vertex_vector::iterator it; + //std::pair resPair; + //typename Graph_map::iterator resPair; + //Add vertices + //std::cout << "Entered add vertices\n"; + for (it = curr_v; it != star_vertices.end(); ++it) { + curr_simplex.push_back(*it); //push next vertex in question + curr_simplex.push_back(star_vertices[0]); //push the center of the star + /* + std::cout << "Searching for "; + print_vector(curr_simplex); + std::cout << " curr_dim " << curr_d << " d " << dimension << ""; + */ + Vertex_vector curr_simplex_copy(curr_simplex); + sh = sc_.find(curr_simplex_copy); //a simplex of the star + curr_simplex.pop_back(); //pop the center of the star + curr_simplex_copy = Vertex_vector(curr_simplex); + if (sh != sc_.null_simplex()) { + //std::cout << " added\n"; + if (curr_d == link_dimension) { + sh = sc_.find(curr_simplex_copy); //a simplex of the link + assert(sh != sc_.null_simplex()); //ASSERT! + vert = boost::add_vertex(adj_graph); + d_map.emplace(sh,vert); + } + else { + if (curr_d == link_dimension-1) { + sh = sc_.find(curr_simplex_copy); //a simplex of the link + assert(sh != sc_.null_simplex()); + vert = boost::add_vertex(adj_graph); + f_map.emplace(sh,vert); + } + + //delete (&curr_simplex_copy); //Just so it doesn't stack + add_vertices_to_link_graph(star_vertices, + it+1, + adj_graph, + d_map, + f_map, + curr_simplex, + curr_d+1, link_dimension); + } + } + /* + else + std::cout << "\n"; + */ + curr_simplex.pop_back(); //pop the vertex in question + } + } -namespace witness_complex { + void add_edges_to_link_graph(Adj_graph& adj_graph, + Graph_map& d_map, + Graph_map& f_map) + { + Simplex_handle sh; + // Add edges + //std::cout << "Entered add edges:\n"; + typename Graph_map::iterator map_it; + for (auto d_map_pair : d_map) { + //std::cout << "*"; + sh = d_map_pair.first; + Vertex_t d_vert = d_map_pair.second; + for (auto facet_sh : sc_.boundary_simplex_range(sh)) + //for (auto f_map_it : f_map) + { + //std::cout << "'"; + map_it = f_map.find(facet_sh); + //We must have all the facets in the graph at this point + assert(map_it != f_map.end()); + Vertex_t f_vert = map_it->second; + //std::cout << "Added edge " << sh->first << "-" << map_it->first->first << "\n"; + boost::add_edge(d_vert,f_vert,adj_graph); + } + } + } - /** \addtogroup simplex_tree - * Witness complex is a simplicial complex defined on two sets of points in \f$\mathbf{R}^D\f$: - * \f$W\f$ set of witnesses and \f$L \subseteq W\f$ set of landmarks. The simplices are based on points in \f$L\f$ - * and a simplex belongs to the witness complex if and only if it is witnessed (there exists a point \f$w \in W\f$ such that - * w is closer to the vertices of this simplex than others) and all of its faces are witnessed as well. + + + /* \brief Verifies if the simplices formed by vertices given by link_vertices + * form a pseudomanifold. + * The idea is to make a bipartite graph, where vertices are the d- and (d-1)-dimensional + * faces and edges represent adjacency between them. + */ + bool link_is_pseudomanifold(Vertex_vector& star_vertices, + int dimension) + { + Adj_graph adj_graph; + Graph_map d_map, f_map; + // d_map = map for d-dimensional simplices + // f_map = map for its facets + Vertex_vector init_vector = {}; + add_vertices_to_link_graph(star_vertices, + star_vertices.begin()+1, + adj_graph, + d_map, + f_map, + init_vector, + 0, dimension); + //std::cout << "DMAP_SIZE: " << d_map.size() << "\n"; + //std::cout << "FMAP_SIZE: " << f_map.size() << "\n"; + add_edges_to_link_graph(adj_graph, + d_map, + f_map); + for (auto f_map_it : f_map) { + //std::cout << "Degree of " << f_map_it.first->first << " is " << boost::out_degree(f_map_it.second, adj_graph) << "\n"; + if (boost::out_degree(f_map_it.second, adj_graph) != 2){ + count_bad[dimension]++; + return false; + } + } + // At this point I know that all (d-1)-simplices are adjacent to exactly 2 d-simplices + // What is left is to check the connexity + //std::vector components(boost::num_vertices(adj_graph)); + return true; //Forget the connexity + //return (boost::connected_components(adj_graph, &components[0]) == 1); + } + + int star_dim(Vertex_vector& star_vertices, + typename Vertex_vector::iterator curr_v, + int curr_d, + Vertex_vector& curr_simplex, + typename std::vector< int >::iterator curr_dc) + { + //std::cout << "Entered star_dim for " << *(curr_v-1) << "\n"; + Simplex_handle sh; + int final_d = curr_d; + typename Vertex_vector::iterator it; + typename Vertex_vector::iterator dc_it; + //std::cout << "Current vertex is " << + for (it = curr_v, dc_it = curr_dc; it != star_vertices.end(); ++it, ++dc_it) + { + curr_simplex.push_back(*it); + Vertex_vector curr_simplex_copy(curr_simplex); + /* + std::cout << "Searching for "; + print_vector(curr_simplex); + std::cout << " curr_dim " << curr_d << " final_dim " << final_d; + */ + sh = sc_.find(curr_simplex_copy); //Need a copy because find sorts the vector and I want star center to be the first + if (sh != sc_.null_simplex()) + { + //std::cout << " -> " << *it << "\n"; + int d = star_dim(star_vertices, + it+1, + curr_d+1, + curr_simplex, + dc_it); + if (d >= final_d) + { + final_d = d; + //std::cout << d << " "; + //print_vector(curr_simplex); + //std::cout << std::endl; + } + if (d >= *dc_it) + *dc_it = d; + } + /* + else + std::cout << "\n"; + */ + curr_simplex.pop_back(); + } + return final_d; + } + +public: + + /** \brief Returns true if the link is good */ -template< class Simplicial_complex > -bool good_links(Simplicial_complex& sc_) -{ + bool has_good_link(Vertex_handle v) + { + typedef Vertex_vector typeVectorVertex; + typeVectorVertex star_vertices; + // Fill star_vertices + star_vertices.push_back(v); + for (auto u: sc_.complex_vertex_range()) + { + typeVectorVertex edge = {u,v}; + if (u != v && sc_.find(edge) != sc_.null_simplex()) + star_vertices.push_back(u); + } + // Find the dimension + typeVectorVertex init_simplex = {star_vertices[0]}; + bool is_pure = true; + std::vector dim_coface(star_vertices.size(), 1); + int d = star_dim(star_vertices, + star_vertices.begin()+1, + 0, + init_simplex, + dim_coface.begin()+1) - 1; //link_dim = star_dim - 1 + + assert(init_simplex.size() == 1); + // if (!is_pure) + // std::cout << "Found an impure star around " << v << "\n"; + for (int dc: dim_coface) + is_pure = (dc == dim_coface[0]); + /* + if (d == count_good.size()) + { + std::cout << "Found a star of dimension " << (d+1) << " around " << v << "\nThe star is "; + print_vector(star_vertices); std::cout << std::endl; + } + */ + //if (d == -1) count_bad[0]++; + bool b= (is_pure && link_is_pseudomanifold(star_vertices,d)); + if (d != -1) {if (b) count_good[d]++; else count_bad[d]++;} + if (!is_pure) count_bad[0]++; + return (d != -1 && b && is_pure); + } + +private: + void add_max_simplices_to_graph(Vertex_vector& star_vertices, + typename Vertex_vector::iterator curr_v, + Adj_graph& adj_graph, + Graph_map& d_map, + Graph_map& f_map, + Inv_graph_map& inv_d_map, + Vertex_vector& curr_simplex, + int curr_d, + int link_dimension) + { + Simplex_handle sh; + Vertex_t vert; + typename Vertex_vector::iterator it; + //std::pair resPair; + //typename Graph_map::iterator resPair; + //Add vertices + //std::cout << "Entered add vertices\n"; + for (it = curr_v; it != star_vertices.end(); ++it) { + curr_simplex.push_back(*it); //push next vertex in question + //curr_simplex.push_back(star_vertices[0]); //push the center of the star + /* + std::cout << "Searching for "; + print_vector(curr_simplex); + std::cout << " curr_dim " << curr_d << " d " << dimension << ""; + */ + Vertex_vector curr_simplex_copy(curr_simplex); + sh = sc_.find(curr_simplex_copy); //a simplex of the star + //curr_simplex.pop_back(); //pop the center of the star + curr_simplex_copy = Vertex_vector(curr_simplex); + if (sh != sc_.null_simplex()) { + //std::cout << " added\n"; + if (curr_d == link_dimension) { + sh = sc_.find(curr_simplex_copy); //a simplex of the link + assert(sh != sc_.null_simplex()); //ASSERT! + vert = boost::add_vertex(adj_graph); + d_map.emplace(sh,vert); + inv_d_map.emplace(vert,sh); + } + else { + if (curr_d == link_dimension-1) { + sh = sc_.find(curr_simplex_copy); //a simplex of the link + assert(sh != sc_.null_simplex()); + vert = boost::add_vertex(adj_graph); + f_map.emplace(sh,vert); + } + //delete (&curr_simplex_copy); //Just so it doesn't stack + add_max_simplices_to_graph(star_vertices, + it+1, + adj_graph, + d_map, + f_map, + inv_d_map, + curr_simplex, + curr_d+1, + link_dimension); + } + } + /* + else + std::cout << "\n"; + */ + curr_simplex.pop_back(); //pop the vertex in question + } + } + +public: + bool complex_is_pseudomanifold() + { + Adj_graph adj_graph; + Graph_map d_map, f_map; + // d_map = map for d-dimensional simplices + // f_map = map for its facets + Inv_graph_map inv_d_map; + Vertex_vector init_vector = {}; + std::vector star_vertices; + for (int v: sc_.complex_vertex_range()) + star_vertices.push_back(v); + add_max_simplices_to_graph(star_vertices, + star_vertices.begin(), + adj_graph, + d_map, + f_map, + inv_d_map, + init_vector, + 0, dimension); + //std::cout << "DMAP_SIZE: " << d_map.size() << "\n"; + //std::cout << "FMAP_SIZE: " << f_map.size() << "\n"; + add_edges_to_link_graph(adj_graph, + d_map, + f_map); + for (auto f_map_it : f_map) { + //std::cout << "Degree of " << f_map_it.first->first << " is " << boost::out_degree(f_map_it.second, adj_graph) << "\n"; + if (boost::out_degree(f_map_it.second, adj_graph) != 2) { + // if (boost::out_degree(f_map_it.second, adj_graph) >= 3) { + // // std::cout << "This simplex has 3+ cofaces: "; + // // for(auto v : sc_.simplex_vertex_range(f_map_it.first)) + // // std::cout << v << " "; + // // std::cout << std::endl; + // Adj_it ai, ai_end; + // for (std::tie(ai, ai_end) = boost::adjacent_vertices(f_map_it.second, adj_graph); ai != ai_end; ++ai) { + // auto it = inv_d_map.find(*ai); + // assert (it != inv_d_map.end()); + // typename Simplicial_complex::Simplex_handle sh = it->second; + // for(auto v : sc_.simplex_vertex_range(sh)) + // std::cout << v << " "; + // std::cout << std::endl; + // } + // } + count_bad[dimension]++; + return false; + } + } + // At this point I know that all (d-1)-simplices are adjacent to exactly 2 d-simplices + // What is left is to check the connexity + //std::vector components(boost::num_vertices(adj_graph)); + return true; //Forget the connexity + //return (boost::connected_components(adj_graph, &components[0]) == 1); + } -} + int number_good_links(int dim) + { + return count_good[dim]; + } -} // namespace witness_complex + int number_bad_links(int dim) + { + return count_bad[dim]; + } +}; + } // namespace Gudhi #endif -- cgit v1.2.3 From 706d447efdb0da311f02b3677ce19e4a68100b03 Mon Sep 17 00:00:00 2001 From: skachano Date: Wed, 28 Sep 2016 15:23:24 +0000 Subject: Commit before a merge with subsampling git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1583 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: c4ad9a3579b2e024b88402207ca58a8995167170 --- src/Witness_complex/example/CMakeLists.txt | 3 ++- .../include/gudhi/Witness_complex.h | 25 +++++++++++++++++++--- 2 files changed, 24 insertions(+), 4 deletions(-) diff --git a/src/Witness_complex/example/CMakeLists.txt b/src/Witness_complex/example/CMakeLists.txt index 4d67e0d0..0054775d 100644 --- a/src/Witness_complex/example/CMakeLists.txt +++ b/src/Witness_complex/example/CMakeLists.txt @@ -10,7 +10,8 @@ if(CGAL_FOUND) if (EIGEN3_FOUND) add_executable ( witness_complex_sphere witness_complex_sphere.cpp ) target_link_libraries(witness_complex_sphere ${Boost_SYSTEM_LIBRARY} ${CGAL_LIBRARY}) - add_test( witness_complex_sphere_10 ${CMAKE_CURRENT_BINARY_DIR}/witness_complex_sphere 10) + add_test( witness_complex_sphere_10 ${CMAKE_CURRENT_BINARY_DIR}/witness_complex_sphere 10) + add_executable ( relaxed_witness_persistence relaxed_witness_persistence.cpp ) endif(EIGEN3_FOUND) endif (NOT CGAL_VERSION VERSION_LESS 4.6.0) endif() diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 489cdf11..5c6d087f 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -52,8 +52,13 @@ namespace witness_complex { // \brief Constructs the witness complex for the given set of witnesses and landmarks. // \ingroup witness_complex // */ -template< class SimplicialComplex> +template< class SimplicialComplex, + class Kernel_ > class Witness_complex { + typedef Kernel_ K; + typedef K::Point_d Point_d; + + private: struct Active_witness { int witness_id; @@ -82,7 +87,9 @@ class Witness_complex { private: int nbL_; // Number of landmarks SimplicialComplex& sc_; // Simplicial complex - + std::vector witnesses_, landmarks_; + + public: ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////// /* @name Constructor @@ -93,7 +100,7 @@ class Witness_complex { // Witness_range> /* - * \brief Iterative construction of the witness complex. + * \brief Iterative construction of the (weak) witness complex. * \details The witness complex is written in sc_ basing on a matrix knn of * nearest neighbours of the form {witnesses}x{landmarks}. * @@ -106,6 +113,18 @@ class Witness_complex { * * Landmarks are supposed to be in [0,nbL_-1] */ + template< typename InputIteratorLandmarks, + typename InputIteratorWitnesses > + Witness_complex(InputIteratorLandmarks landmarks_first, + InputIteratorLandmarks landmarks_last, + InputIteratorWitnesses witnesses_first, + InputIteratorWitnesses witnesses_last) + : witnesses_(witnesses_first, witnesses_last), landmarks_(landmarks_first, landmarks_last) + { + } + + + template< typename KNearestNeighbors > Witness_complex(KNearestNeighbors const & knn, int nbL, -- cgit v1.2.3 From e1eab27ee280826a5c9c44d530679626da2efb1f Mon Sep 17 00:00:00 2001 From: skachano Date: Thu, 29 Sep 2016 18:30:50 +0000 Subject: Weak Witness + Active Witness. It compiles git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1593 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 7307e01148fc7cadfc22bd136ebdf0d55c8da937 --- .../example/witness_complex_sphere.cpp | 19 ++- .../include/gudhi/Active_witness/Active_witness.h | 70 ++++++++ .../gudhi/Active_witness/Active_witness_iterator.h | 96 +++++++++++ .../include/gudhi/Witness_complex.h | 188 +++++++++++---------- 4 files changed, 276 insertions(+), 97 deletions(-) create mode 100644 src/Witness_complex/include/gudhi/Active_witness/Active_witness.h create mode 100644 src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h diff --git a/src/Witness_complex/example/witness_complex_sphere.cpp b/src/Witness_complex/example/witness_complex_sphere.cpp index 3d4a54aa..5a041c3e 100644 --- a/src/Witness_complex/example/witness_complex_sphere.cpp +++ b/src/Witness_complex/example/witness_complex_sphere.cpp @@ -54,6 +54,8 @@ void write_data(Data_range & data, std::string filename) { } int main(int argc, char * const argv[]) { + typedef Gudhi::witness_complex::Witness_complex> Witness_complex; + if (argc != 2) { std::cerr << "Usage: " << argv[0] << " number_of_landmarks \n"; @@ -77,21 +79,20 @@ int main(int argc, char * const argv[]) { // Choose landmarks start = clock(); - std::vector > knn; - Gudhi::subsampling::pick_n_random_points(point_vector, 100, std::back_inserter(landmarks)); - Gudhi::witness_complex::construct_closest_landmark_table(point_vector, landmarks, knn); + Gudhi::subsampling::pick_n_random_points(point_vector, number_of_landmarks, std::back_inserter(landmarks)); // Compute witness complex - // Gudhi::witness_complex::witness_complex(knn, number_of_landmarks, point_vector[0].size(), simplex_tree); - Gudhi::witness_complex::Witness_complex, CGAL::Epick_d>(landmarks.begin(), - landmarks.end(), - point_vector.begin(), - point_vector.end(), - simplex_tree); + Witness_complex witness_complex(landmarks.begin(), + landmarks.end(), + point_vector.begin(), + point_vector.end()); + witness_complex.create_complex(simplex_tree, 0); end = clock(); double time = static_cast(end - start) / CLOCKS_PER_SEC; std::cout << "Witness complex for " << number_of_landmarks << " landmarks took " << time << " s. \n"; + assert(1 == 0); + std::cout << simplex_tree << "\n"; std::cout << "Number of simplices is: " << simplex_tree.num_simplices() << "\n"; l_time.push_back(std::make_pair(nbP, time)); } diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h new file mode 100644 index 00000000..87981c25 --- /dev/null +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h @@ -0,0 +1,70 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2016 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#ifndef ACTIVE_WITNESS_H_ +#define ACTIVE_WITNESS_H_ + +#include "Active_witness_iterator.h" +#include +#include + +namespace Gudhi { + +namespace witness_complex { + +template< typename Id_distance_pair, + typename INS_range > +class Active_witness { +public: + typedef Active_witness ActiveWitness; + typedef typename INS_range::iterator INS_iterator; + typedef Active_witness_iterator< ActiveWitness, Id_distance_pair, INS_iterator > iterator; + + std::vector nearest_landmark_table_; + INS_range search_range_; + INS_iterator iterator_last_; + INS_iterator iterator_end_; + + Active_witness(INS_range search_range) + : search_range_(search_range), iterator_end_(search_range.end()), iterator_last_(search_range.begin()) + { + nearest_landmark_table_.push_back(*iterator_last_); + } + + iterator begin() + { + return iterator(this, nearest_landmark_table_.begin()); + } + + iterator end() + { + return iterator(this); + } + + std::vector end_element_table_; + typename std::vector::iterator end_pointer = end_element_table_.end(); +}; + +} +} + +#endif diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h new file mode 100644 index 00000000..cd4f4b92 --- /dev/null +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h @@ -0,0 +1,96 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2016 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#ifndef ACTIVE_WITNESS_ITERATOR_H_ +#define ACTIVE_WITNESS_ITERATOR_H_ + +//#include "Active_witness.h" +#include +#include + +namespace Gudhi { + +namespace witness_complex { + +template< typename Active_witness, + typename Id_distance_pair, + typename INS_iterator > +class Active_witness_iterator + : public boost::iterator_facade< Active_witness_iterator +, Id_distance_pair const +, boost::forward_traversal_tag +, Id_distance_pair const> { + friend class boost::iterator_core_access; + + //typedef Active_witness Active_witness; + typedef typename std::vector::iterator Pair_iterator; + typedef typename Gudhi::witness_complex::Active_witness_iterator Iterator; + + + Active_witness *aw_; + Pair_iterator lh_; // landmark handle + //INS_iterator iterator_last; + //INS_iterator iterator_end; + +public: + Active_witness_iterator(Active_witness* aw) + : aw_(aw), lh_(aw_->end_pointer) + { + } + + Active_witness_iterator(Active_witness* aw, Pair_iterator lh_) + { + } + +private : + + Id_distance_pair dereference() const + { + return *lh_; + } + + bool equal(const Iterator& other) const + { + return (lh_ == other.lh_); + } + + void increment() + { + // if the id of the current landmark is the same as the last one + if (lh_->first == aw_->iterator_last_->first) { + // if the next iterator is end, lh_it = nullptr + if (++(aw_->iterator_last_) == aw_->iterator_end_) { + lh_ = aw_->end_pointer; + return; + } + else + aw_->nearest_landmark_table_.push_back(*(aw_->iterator_last_)); + } + lh_++; + } + +}; + +} +} + +#endif diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 4c489e7a..c6dff3bf 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -30,6 +30,7 @@ #include +#include "Active_witness/Active_witness.h" #include #include @@ -55,9 +56,9 @@ namespace witness_complex { // \brief Constructs the witness complex for the given set of witnesses and landmarks. // \ingroup witness_complex // */ -template< class SimplicialComplex, - class Kernel_ > +template< class Kernel_ > class Witness_complex { +private: typedef Kernel_ K; typedef typename K::Point_d Point_d; typedef typename K::FT FT; @@ -65,40 +66,35 @@ class Witness_complex { typedef gss::Kd_tree_search Kd_tree; typedef typename Kd_tree::INS_range Nearest_landmark_range; typedef typename std::vector Nearest_landmark_table; - typedef typename Nearest_landmark_table::const_iterator Nearest_landmark_table_iterator; + typedef typename Nearest_landmark_range::iterator Nearest_landmark_row_iterator; //typedef std::vector> Nearest_landmarks; - private: - struct Active_witness { - int witness_id; - int landmark_id; - - Active_witness(int witness_id_, int landmark_id_) - : witness_id(witness_id_), - landmark_id(landmark_id_) { } - }; - - private: - typedef typename SimplicialComplex::Simplex_handle Simplex_handle; - typedef typename SimplicialComplex::Vertex_handle Vertex_handle; + // struct Active_witness { + // int witness_id; + // int landmark_id; + // Active_witness(int witness_id_, int landmark_id_) + // : witness_id(witness_id_), + // landmark_id(landmark_id_) { } + // }; + typedef std::vector< double > Point_t; typedef std::vector< Point_t > Point_Vector; - typedef std::vector< Vertex_handle > typeVectorVertex; - typedef std::pair< typeVectorVertex, Filtration_value> typeSimplex; - typedef std::pair< Simplex_handle, bool > typePairSimplexBool; + typedef FT Filtration_value; - typedef int Witness_id; - typedef int Landmark_id; - typedef std::list< Vertex_handle > ActiveWitnessList; + + typedef std::size_t Witness_id; + typedef std::size_t Landmark_id; + typedef std::pair Id_distance_pair; + typedef Active_witness ActiveWitness; + typedef std::list< ActiveWitness > ActiveWitnessList; + typedef std::vector< Landmark_id > typeVectorVertex; + typedef std::pair< typeVectorVertex, Filtration_value> typeSimplex; private: - int nbL_; // Number of landmarks - SimplicialComplex& sc_; // Simplicial complex Point_range witnesses_, landmarks_; Kd_tree landmark_tree_; - std::vector nearest_landmarks_; public: ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////// @@ -128,28 +124,38 @@ class Witness_complex { Witness_complex(InputIteratorLandmarks landmarks_first, InputIteratorLandmarks landmarks_last, InputIteratorWitnesses witnesses_first, - InputIteratorWitnesses witnesses_last, - SimplicialComplex& sc) - : witnesses_(witnesses_first, witnesses_last), landmarks_(landmarks_first, landmarks_last), landmark_tree_(landmarks_), sc_(sc) + InputIteratorWitnesses witnesses_last) + : witnesses_(witnesses_first, witnesses_last), landmarks_(landmarks_first, landmarks_last), landmark_tree_(landmarks_) { - for (Point_d w : witnesses_) - nearest_landmarks_.push_back(landmark_tree_.query_incremental_nearest_neighbors(w)); } + /** \brief Returns the point corresponding to the given vertex. + */ Point_d get_point( std::size_t vertex ) const { return landmarks_[vertex]; } + /** \brief Outputs the (weak) witness complex with + * squared relaxation parameter 'max_alpha_square' + * to simplicial complex 'complex'. + */ template < typename SimplicialComplexForWitness > bool create_complex(SimplicialComplexForWitness& complex, - FT max_alpha_square) const + FT max_alpha_square) { - unsigned nbW = witnesses_.size(), - nbL = landmarks_.size(); + unsigned nbL = landmarks_.size(); + if (complex.num_vertices() > 0) { + std::cerr << "Witness complex cannot create complex - complex is not empty.\n"; + return false; + } + if (max_alpha_square < 0) { + std::cerr << "Witness complex cannot create complex - squared relaxation parameter must be non-negative.\n"; + return false; + } typeVectorVertex vv; - ActiveWitnessList active_w;// = new ActiveWitnessList(); - for (int i = 0; i != nbL; ++i) { + ActiveWitnessList active_witnesses;// = new ActiveWitnessList(); + for (auto i = 0; i != nbL; ++i) { // initial fill of 0-dimensional simplices // by doing it we don't assume that landmarks are necessarily witnesses themselves anymore //counter++; @@ -158,26 +164,27 @@ class Witness_complex { /* TODO Error if not inserted : normally no need here though*/ } unsigned k = 1; /* current dimension in iterative construction */ - for (int i=0; i != nbW; ++i) - active_w.push_back(i); - while (!active_w.empty() && k < nbL ) { - typename ActiveWitnessList::iterator aw_it = active_w.begin(); - while (aw_it != active_w.end()) { + for (auto w: witnesses_) + active_witnesses.push_back(ActiveWitness(landmark_tree_.query_incremental_nearest_neighbors(w))); + while (!active_witnesses.empty() && k < nbL ) { + typename ActiveWitnessList::iterator aw_it = active_witnesses.begin(); + while (aw_it != active_witnesses.end()) { std::vector simplex; bool ok = add_all_faces_of_dimension(k, max_alpha_square, std::numeric_limits::infinity(), - nearest_landmarks_[*aw_it].begin(), + aw_it->begin(), simplex, complex, - nearest_landmarks_[*aw_it].end()); + aw_it->end()); if (!ok) - active_w.erase(aw_it++); //First increase the iterator and then erase the previous element + active_witnesses.erase(aw_it++); //First increase the iterator and then erase the previous element else aw_it++; } k++; } + return true; } //@} @@ -193,34 +200,37 @@ class Witness_complex { bool add_all_faces_of_dimension(int dim, double alpha2, double norelax_dist2, - Nearest_landmark_table_iterator curr_l, + typename ActiveWitness::iterator curr_l, std::vector& simplex, SimplicialComplexForWitness& sc, - Nearest_landmark_table_iterator end) + typename ActiveWitness::iterator end) { if (curr_l == end) return false; bool will_be_active = false; - Nearest_landmark_table_iterator l_it = curr_l; + typename ActiveWitness::iterator l_it = curr_l; if (dim > 0) for (; l_it->second - alpha2 <= norelax_dist2 && l_it != end; ++l_it) { simplex.push_back(l_it->first); - if (sc.find(simplex) != sc.null_simplex()) + if (sc.find(simplex) != sc.null_simplex()) { + typename ActiveWitness::iterator next_it = l_it; will_be_active = add_all_faces_of_dimension(dim-1, alpha2, norelax_dist2, - l_it+1, + ++next_it, simplex, sc, end) || will_be_active; + } simplex.pop_back(); // If norelax_dist is infinity, change to first omitted distance if (l_it->second <= norelax_dist2) norelax_dist2 = l_it->second; + typename ActiveWitness::iterator next_it = l_it; will_be_active = add_all_faces_of_dimension(dim-1, alpha2, norelax_dist2, - l_it+1, + ++next_it, simplex, sc, end) || will_be_active; @@ -253,6 +263,8 @@ class Witness_complex { double* filtration_value, SimplicialComplexForWitness& sc) { + typedef typename SimplicialComplexForWitness::Simplex_handle Simplex_handle; + std::vector< int > facet; for (std::vector::iterator not_it = simplex.begin(); not_it != simplex.end(); ++not_it) { @@ -297,45 +309,45 @@ class Witness_complex { // * \param print_output =true will print the witnesses for each simplex // * \remark Added for debugging purposes. // */ - template< class KNearestNeighbors > - bool is_witness_complex(KNearestNeighbors const & knn, bool print_output) { - for (Simplex_handle sh : sc_.complex_simplex_range()) { - bool is_witnessed = false; - typeVectorVertex simplex; - int nbV = 0; // number of verticed in the simplex - for (Vertex_handle v : sc_.simplex_vertex_range(sh)) - simplex.push_back(v); - nbV = simplex.size(); - for (typeVectorVertex w : knn) { - bool has_vertices = true; - for (Vertex_handle v : simplex) - if (std::find(w.begin(), w.begin() + nbV, v) == w.begin() + nbV) { - has_vertices = false; - } - if (has_vertices) { - is_witnessed = true; - if (print_output) { - std::cout << "The simplex "; - print_vector(simplex); - std::cout << " is witnessed by the witness "; - print_vector(w); - std::cout << std::endl; - } - break; - } - } - if (!is_witnessed) { - if (print_output) { - std::cout << "The following simplex is not witnessed "; - print_vector(simplex); - std::cout << std::endl; - } - assert(is_witnessed); - return false; - } - } - return true; - } + // template< class KNearestNeighbors > + // bool is_witness_complex(KNearestNeighbors const & knn, bool print_output) { + // for (Simplex_handle sh : sc_.complex_simplex_range()) { + // bool is_witnessed = false; + // typeVectorVertex simplex; + // int nbV = 0; // number of verticed in the simplex + // for (Vertex_handle v : sc_.simplex_vertex_range(sh)) + // simplex.push_back(v); + // nbV = simplex.size(); + // for (typeVectorVertex w : knn) { + // bool has_vertices = true; + // for (Vertex_handle v : simplex) + // if (std::find(w.begin(), w.begin() + nbV, v) == w.begin() + nbV) { + // has_vertices = false; + // } + // if (has_vertices) { + // is_witnessed = true; + // if (print_output) { + // std::cout << "The simplex "; + // print_vector(simplex); + // std::cout << " is witnessed by the witness "; + // print_vector(w); + // std::cout << std::endl; + // } + // break; + // } + // } + // if (!is_witnessed) { + // if (print_output) { + // std::cout << "The following simplex is not witnessed "; + // print_vector(simplex); + // std::cout << std::endl; + // } + // assert(is_witnessed); + // return false; + // } + // } + // return true; + // } }; /** -- cgit v1.2.3 From 350b400fa0fb49c190b5b62934fa58869f23f4c4 Mon Sep 17 00:00:00 2001 From: skachano Date: Fri, 30 Sep 2016 10:06:39 +0000 Subject: Weak Witness + Active Witness. It seems to work. git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1595 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 04b616907f9173e7b3cffebcd8b167a0413eb687 --- src/Witness_complex/example/witness_complex_sphere.cpp | 9 ++++----- .../include/gudhi/Active_witness/Active_witness.h | 7 ++++--- .../include/gudhi/Active_witness/Active_witness_iterator.h | 5 +++-- src/Witness_complex/include/gudhi/Witness_complex.h | 2 +- 4 files changed, 12 insertions(+), 11 deletions(-) diff --git a/src/Witness_complex/example/witness_complex_sphere.cpp b/src/Witness_complex/example/witness_complex_sphere.cpp index 5a041c3e..310fb1be 100644 --- a/src/Witness_complex/example/witness_complex_sphere.cpp +++ b/src/Witness_complex/example/witness_complex_sphere.cpp @@ -65,13 +65,12 @@ int main(int argc, char * const argv[]) { int number_of_landmarks = atoi(argv[1]); clock_t start, end; - // Construct the Simplex Tree - Gudhi::Simplex_tree<> simplex_tree; - std::vector< std::pair > l_time; // Read the point file for (int nbP = 500; nbP < 10000; nbP += 500) { + // Construct the Simplex Tree + Gudhi::Simplex_tree<> simplex_tree; Point_Vector point_vector, landmarks; generate_points_sphere(point_vector, nbP, 4); std::cout << "Successfully generated " << point_vector.size() << " points.\n"; @@ -91,8 +90,8 @@ int main(int argc, char * const argv[]) { double time = static_cast(end - start) / CLOCKS_PER_SEC; std::cout << "Witness complex for " << number_of_landmarks << " landmarks took " << time << " s. \n"; - assert(1 == 0); - std::cout << simplex_tree << "\n"; + //assert(1 == 0); + //std::cout << simplex_tree << "\n"; std::cout << "Number of simplices is: " << simplex_tree.num_simplices() << "\n"; l_time.push_back(std::make_pair(nbP, time)); } diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h index 87981c25..7b169784 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h @@ -38,8 +38,9 @@ public: typedef Active_witness ActiveWitness; typedef typename INS_range::iterator INS_iterator; typedef Active_witness_iterator< ActiveWitness, Id_distance_pair, INS_iterator > iterator; + typedef typename std::list Table; - std::vector nearest_landmark_table_; + Table nearest_landmark_table_; INS_range search_range_; INS_iterator iterator_last_; INS_iterator iterator_end_; @@ -60,8 +61,8 @@ public: return iterator(this); } - std::vector end_element_table_; - typename std::vector::iterator end_pointer = end_element_table_.end(); + Table end_element_table_ = {Id_distance_pair(-1,0)}; + typename Table::iterator end_pointer = end_element_table_.begin(); }; } diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h index cd4f4b92..658405f6 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h @@ -42,7 +42,7 @@ class Active_witness_iterator friend class boost::iterator_core_access; //typedef Active_witness Active_witness; - typedef typename std::vector::iterator Pair_iterator; + typedef typename std::list::iterator Pair_iterator; typedef typename Gudhi::witness_complex::Active_witness_iterator Iterator; @@ -57,7 +57,8 @@ public: { } - Active_witness_iterator(Active_witness* aw, Pair_iterator lh_) + Active_witness_iterator(Active_witness* aw, Pair_iterator lh) + : aw_(aw), lh_(lh) { } diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index c6dff3bf..158f92ec 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -237,7 +237,7 @@ private: } else if (dim == 0) for (; l_it->second - alpha2 <= norelax_dist2 && l_it != end; ++l_it) { - simplex.push_back(l_it->second); + simplex.push_back(l_it->first); double filtration_value = 0; // if norelax_dist is infinite, relaxation is 0. if (l_it->second > norelax_dist2) -- cgit v1.2.3 From e6992894cf4e9b76acee98e2c1ad840a3ebd7274 Mon Sep 17 00:00:00 2001 From: skachano Date: Tue, 4 Oct 2016 18:07:42 +0000 Subject: Fixed a major bug in the Active_witness_iterator git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1633 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: d4f474b44835b11e65a152f9d3fe87cc32b527f5 --- .../example/witness_complex_sphere.cpp | 2 +- .../include/gudhi/Active_witness/Active_witness.h | 14 ++-- .../gudhi/Active_witness/Active_witness_iterator.h | 12 ++- .../include/gudhi/Witness_complex.h | 41 ++++++++--- .../test/simple_witness_complex.cpp | 86 +++++++++++++++++----- 5 files changed, 116 insertions(+), 39 deletions(-) diff --git a/src/Witness_complex/example/witness_complex_sphere.cpp b/src/Witness_complex/example/witness_complex_sphere.cpp index 310fb1be..fe7f628f 100644 --- a/src/Witness_complex/example/witness_complex_sphere.cpp +++ b/src/Witness_complex/example/witness_complex_sphere.cpp @@ -85,7 +85,7 @@ int main(int argc, char * const argv[]) { landmarks.end(), point_vector.begin(), point_vector.end()); - witness_complex.create_complex(simplex_tree, 0); + witness_complex.create_complex(simplex_tree, 0.1); end = clock(); double time = static_cast(end - start) / CLOCKS_PER_SEC; std::cout << "Witness complex for " << number_of_landmarks << " landmarks took " diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h index 7b169784..9ae41a69 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h @@ -34,23 +34,26 @@ namespace witness_complex { template< typename Id_distance_pair, typename INS_range > class Active_witness { -public: +public: typedef Active_witness ActiveWitness; typedef typename INS_range::iterator INS_iterator; typedef Active_witness_iterator< ActiveWitness, Id_distance_pair, INS_iterator > iterator; typedef typename std::list Table; - + + Table end_element_table_ = {Id_distance_pair(-1,0)}; + typename Table::iterator end_pointer = end_element_table_.begin(); + Table nearest_landmark_table_; INS_range search_range_; INS_iterator iterator_last_; INS_iterator iterator_end_; Active_witness(INS_range search_range) - : search_range_(search_range), iterator_end_(search_range.end()), iterator_last_(search_range.begin()) + : search_range_(search_range), iterator_last_(search_range.begin()), iterator_end_(search_range.end()) { nearest_landmark_table_.push_back(*iterator_last_); } - + iterator begin() { return iterator(this, nearest_landmark_table_.begin()); @@ -60,9 +63,6 @@ public: { return iterator(this); } - - Table end_element_table_ = {Id_distance_pair(-1,0)}; - typename Table::iterator end_pointer = end_element_table_.begin(); }; } diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h index 658405f6..5d4f3d75 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h @@ -64,7 +64,7 @@ public: private : - Id_distance_pair dereference() const + Id_distance_pair& dereference() const { return *lh_; } @@ -76,9 +76,17 @@ private : void increment() { + // if neighbor search is at its end, check if lh_++ is end + if (aw_->iterator_last_ == aw_->iterator_end_) { + if (lh_++ == aw_->nearest_landmark_table_.end()) { + lh_ = aw_->end_pointer; + return; + } + return; + } // if the id of the current landmark is the same as the last one if (lh_->first == aw_->iterator_last_->first) { - // if the next iterator is end, lh_it = nullptr + // if the next iterator is end, lh_it = end pointer if (++(aw_->iterator_last_) == aw_->iterator_end_) { lh_ = aw_->end_pointer; return; diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 158f92ec..e939de34 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -84,9 +84,9 @@ private: typedef FT Filtration_value; - typedef std::size_t Witness_id; - typedef std::size_t Landmark_id; - typedef std::pair Id_distance_pair; + typedef std::ptrdiff_t Witness_id; + typedef std::ptrdiff_t Landmark_id; + typedef std::pair Id_distance_pair; typedef Active_witness ActiveWitness; typedef std::list< ActiveWitness > ActiveWitnessList; typedef std::vector< Landmark_id > typeVectorVertex; @@ -155,7 +155,7 @@ private: } typeVectorVertex vv; ActiveWitnessList active_witnesses;// = new ActiveWitnessList(); - for (auto i = 0; i != nbL; ++i) { + for (unsigned i = 0; i != nbL; ++i) { // initial fill of 0-dimensional simplices // by doing it we don't assume that landmarks are necessarily witnesses themselves anymore //counter++; @@ -166,10 +166,12 @@ private: unsigned k = 1; /* current dimension in iterative construction */ for (auto w: witnesses_) active_witnesses.push_back(ActiveWitness(landmark_tree_.query_incremental_nearest_neighbors(w))); + ActiveWitness aw_copy(active_witnesses.front()); while (!active_witnesses.empty() && k < nbL ) { typename ActiveWitnessList::iterator aw_it = active_witnesses.begin(); while (aw_it != active_witnesses.end()) { std::vector simplex; + //simplex.reserve(k+1); bool ok = add_all_faces_of_dimension(k, max_alpha_square, std::numeric_limits::infinity(), @@ -178,10 +180,13 @@ private: complex, aw_it->end()); if (!ok) - active_witnesses.erase(aw_it++); //First increase the iterator and then erase the previous element + //{aw_it++;} + active_witnesses.erase(aw_it++); //First increase the iterator and then erase the previous element else aw_it++; - } + } + std::cout << "Active witnesses after dim=" << k << " is finished: " << active_witnesses.size() << "\n"; + std::cout << complex << "\n"; k++; } return true; @@ -190,7 +195,6 @@ private: //@} private: - /* \brief Adds recursively all the faces of a certain dimension dim witnessed by the same witness * Iterator is needed to know until how far we can take landmarks to form simplexes * simplex is the prefix of the simplexes to insert @@ -222,12 +226,13 @@ private: sc, end) || will_be_active; } + assert(!simplex.empty()); simplex.pop_back(); // If norelax_dist is infinity, change to first omitted distance if (l_it->second <= norelax_dist2) norelax_dist2 = l_it->second; typename ActiveWitness::iterator next_it = l_it; - will_be_active = add_all_faces_of_dimension(dim-1, + will_be_active = add_all_faces_of_dimension(dim, alpha2, norelax_dist2, ++next_it, @@ -240,12 +245,16 @@ private: simplex.push_back(l_it->first); double filtration_value = 0; // if norelax_dist is infinite, relaxation is 0. + //std::cout << "landmark_id=" << l_it->first << " distance=" << l_it->second << "\n"; + // std::size_t landmark_id = l_it->first; + // double distance = l_it->second; if (l_it->second > norelax_dist2) filtration_value = l_it->second - norelax_dist2; if (all_faces_in(simplex, &filtration_value, sc)) { will_be_active = true; sc.insert_simplex(simplex, filtration_value); } + assert(!simplex.empty()); simplex.pop_back(); // If norelax_dist is infinity, change to first omitted distance if (l_it->second < norelax_dist2) @@ -301,9 +310,23 @@ private: // } // return (fv_it == fvr.end()); // } - + public: + template < typename SimplicialComplexForWitness > + void print_complex(SimplicialComplexForWitness& complex) + { + std::cout << complex << "\n"; + } + + template < typename Container > + void print_container(Container& container) + { + for (auto l: container) + std::cout << l << ", "; + std::cout << "\n"; + } + // /* // * \brief Verification if every simplex in the complex is witnessed by witnesses in knn. // * \param print_output =true will print the witnesses for each simplex diff --git a/src/Witness_complex/test/simple_witness_complex.cpp b/src/Witness_complex/test/simple_witness_complex.cpp index 03df78ee..30b168c1 100644 --- a/src/Witness_complex/test/simple_witness_complex.cpp +++ b/src/Witness_complex/test/simple_witness_complex.cpp @@ -25,6 +25,8 @@ #include #include +#include + #include #include @@ -34,26 +36,70 @@ typedef Gudhi::Simplex_tree<> Simplex_tree; typedef std::vector< Vertex_handle > typeVectorVertex; -typedef Gudhi::witness_complex::Witness_complex WitnessComplex; +typedef CGAL::Epick_d Kernel; +typedef typename Kernel::FT FT; +typedef typename Kernel::Point_d Point_d; +typedef Gudhi::witness_complex::Witness_complex WitnessComplex; + +/* All landmarks and witnesses are taken on the grid in the following manner. + LWLWL 2W4W7 + WW.WW WW.WW + L...L 1...6 + WW.WW WW.WW + LWLWL 0W3W5 + + Witness complex consists of 8 vertices, 12 edges and 4 triangles + */ BOOST_AUTO_TEST_CASE(simple_witness_complex) { - Simplex_tree complex; - std::vector< typeVectorVertex > knn; - - knn.push_back({1, 0, 5, 2, 6, 3, 4}); - knn.push_back({2, 6, 4, 5, 0, 1, 3}); - knn.push_back({3, 4, 2, 1, 5, 6, 0}); - knn.push_back({4, 2, 1, 3, 5, 6, 0}); - knn.push_back({5, 1, 6, 0, 2, 3, 4}); - knn.push_back({6, 0, 5, 2, 1, 3, 4}); - knn.push_back({0, 5, 6, 1, 2, 3, 4}); - knn.push_back({2, 6, 4, 5, 3, 1, 0}); - knn.push_back({1, 2, 5, 4, 3, 6, 0}); - knn.push_back({3, 4, 0, 6, 5, 1, 2}); - knn.push_back({5, 0, 1, 3, 6, 2, 4}); - knn.push_back({5, 6, 1, 0, 2, 3, 4}); - knn.push_back({1, 6, 0, 5, 2, 3, 4}); - WitnessComplex witnessComplex(knn, 7, 7, complex); - - BOOST_CHECK(witnessComplex.is_witness_complex(knn, false)); + Simplex_tree complex, relaxed_complex; + + std::vector witnesses, landmarks; + + landmarks.push_back(Point_d(std::vector{-2,-2})); + landmarks.push_back(Point_d(std::vector{-2, 0})); + landmarks.push_back(Point_d(std::vector{-2, 2})); + landmarks.push_back(Point_d(std::vector{ 0,-2})); + landmarks.push_back(Point_d(std::vector{ 0, 2})); + landmarks.push_back(Point_d(std::vector{ 2,-2})); + landmarks.push_back(Point_d(std::vector{ 2, 0})); + landmarks.push_back(Point_d(std::vector{ 2, 2})); + witnesses.push_back(Point_d(std::vector{-2,-1})); + witnesses.push_back(Point_d(std::vector{-2, 1})); + witnesses.push_back(Point_d(std::vector{-1,-2})); + witnesses.push_back(Point_d(std::vector{-1,-1})); + witnesses.push_back(Point_d(std::vector{-1, 1})); + witnesses.push_back(Point_d(std::vector{-1, 2})); + witnesses.push_back(Point_d(std::vector{ 1,-2})); + witnesses.push_back(Point_d(std::vector{ 1,-1})); + witnesses.push_back(Point_d(std::vector{ 1, 1})); + witnesses.push_back(Point_d(std::vector{ 1, 2})); + witnesses.push_back(Point_d(std::vector{ 2,-1})); + witnesses.push_back(Point_d(std::vector{ 2, 1})); + + // landmarks.push_back(Point_d(std::vector{1,0})); + // landmarks.push_back(Point_d(std::vector{0,0})); + // landmarks.push_back(Point_d(std::vector{0,1})); + // witnesses.push_back(Point_d(std::vector{1,0})); + + WitnessComplex witness_complex(landmarks.begin(), + landmarks.end(), + witnesses.begin(), + witnesses.end()); + // witness_complex.create_complex(complex, 0); + + //std::cout << complex << "\n"; + + // BOOST_CHECK(complex.num_simplices() == 24); + + witness_complex.create_complex(relaxed_complex, 8.01); + + std::cout << "Num_simplices: " << relaxed_complex.num_simplices() << "\n"; + std::cout << relaxed_complex << "\n"; + + //BOOST_CHECK(relaxed_complex.num_simplices() == 24); + + //BOOST_CHECK(witnessComplex.is_witness_complex(knn, false)); + + } -- cgit v1.2.3 From 30eb48c287ef6453a095535306b2a9acf672472a Mon Sep 17 00:00:00 2001 From: skachano Date: Tue, 4 Oct 2016 19:49:40 +0000 Subject: Strong witness is ready as well git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1636 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 1e50ece69054b45787353c37877fdfa970209f20 --- src/Witness_complex/test/simple_witness_complex.cpp | 19 +++++++++++++++---- 1 file changed, 15 insertions(+), 4 deletions(-) diff --git a/src/Witness_complex/test/simple_witness_complex.cpp b/src/Witness_complex/test/simple_witness_complex.cpp index 30b168c1..0c2c3710 100644 --- a/src/Witness_complex/test/simple_witness_complex.cpp +++ b/src/Witness_complex/test/simple_witness_complex.cpp @@ -29,6 +29,7 @@ #include #include +#include #include #include @@ -40,6 +41,7 @@ typedef CGAL::Epick_d Kernel; typedef typename Kernel::FT FT; typedef typename Kernel::Point_d Point_d; typedef Gudhi::witness_complex::Witness_complex WitnessComplex; +typedef Gudhi::witness_complex::Strong_witness_complex StrongWitnessComplex; /* All landmarks and witnesses are taken on the grid in the following manner. LWLWL 2W4W7 @@ -52,7 +54,7 @@ typedef Gudhi::witness_complex::Witness_complex WitnessComplex; */ BOOST_AUTO_TEST_CASE(simple_witness_complex) { - Simplex_tree complex, relaxed_complex; + Simplex_tree complex, relaxed_complex, strong_relaxed_complex; std::vector witnesses, landmarks; @@ -92,11 +94,20 @@ BOOST_AUTO_TEST_CASE(simple_witness_complex) { // BOOST_CHECK(complex.num_simplices() == 24); - witness_complex.create_complex(relaxed_complex, 8.01); + // witness_complex.create_complex(relaxed_complex, 8.01); - std::cout << "Num_simplices: " << relaxed_complex.num_simplices() << "\n"; - std::cout << relaxed_complex << "\n"; + // std::cout << "Num_simplices: " << relaxed_complex.num_simplices() << "\n"; + // std::cout << relaxed_complex << "\n"; + StrongWitnessComplex strong_witness_complex(landmarks.begin(), + landmarks.end(), + witnesses.begin(), + witnesses.end()); + + strong_witness_complex.create_complex(strong_relaxed_complex, 9.1); + std::cout << "Num_simplices: " << strong_relaxed_complex.num_simplices() << "\n"; + std::cout << strong_relaxed_complex << "\n"; + //BOOST_CHECK(relaxed_complex.num_simplices() == 24); //BOOST_CHECK(witnessComplex.is_witness_complex(knn, false)); -- cgit v1.2.3 From e061bc2e16e8fdb7368479f101642ae239ffc7dc Mon Sep 17 00:00:00 2001 From: skachano Date: Wed, 5 Oct 2016 08:57:58 +0000 Subject: Added the forgotten strong witness complex git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1640 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 19e4a60b7b6a71db6148bb99f11dbf10ff8cc248 --- .../include/gudhi/Strong_witness_complex.h | 198 +++++++++++++++++++++ 1 file changed, 198 insertions(+) create mode 100644 src/Witness_complex/include/gudhi/Strong_witness_complex.h diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h new file mode 100644 index 00000000..539c872d --- /dev/null +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -0,0 +1,198 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#ifndef STRONG_WITNESS_COMPLEX_H_ +#define STRONG_WITNESS_COMPLEX_H_ + +#include +#include +#include +#include +#include "gudhi/reader_utils.h" +#include "gudhi/distance_functions.h" +#include "gudhi/Simplex_tree.h" +#include +#include +#include +#include +#include +#include +#include +#include + +// Needed for nearest neighbours +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include + +// Needed for the adjacency graph in bad link search +#include +#include +#include + +namespace gss = Gudhi::spatial_searching; + +namespace Gudhi { + +namespace witness_complex { + +// /* +// * \private +// \class Witness_complex +// \brief Constructs the witness complex for the given set of witnesses and landmarks. +// \ingroup witness_complex +// */ +template< class Kernel_ > +class Strong_witness_complex { +private: + typedef Kernel_ K; + typedef typename K::Point_d Point_d; + typedef typename K::FT FT; + typedef std::vector Point_range; + typedef gss::Kd_tree_search Kd_tree; + typedef typename Kd_tree::INS_range Nearest_landmark_range; + typedef typename std::vector Nearest_landmark_table; + typedef typename Nearest_landmark_range::iterator Nearest_landmark_row_iterator; + //typedef std::vector> Nearest_landmarks; + + // struct Active_witness { + // int witness_id; + // int landmark_id; + + // Active_witness(int witness_id_, int landmark_id_) + // : witness_id(witness_id_), + // landmark_id(landmark_id_) { } + // }; + + typedef std::vector< double > Point_t; + typedef std::vector< Point_t > Point_Vector; + + typedef FT Filtration_value; + + + typedef std::ptrdiff_t Witness_id; + typedef std::ptrdiff_t Landmark_id; + typedef std::pair Id_distance_pair; + typedef Active_witness ActiveWitness; + typedef std::list< ActiveWitness > ActiveWitnessList; + typedef std::vector< Landmark_id > typeVectorVertex; + typedef std::pair< typeVectorVertex, Filtration_value> typeSimplex; + + private: + Point_range witnesses_, landmarks_; + Kd_tree landmark_tree_; + + public: + ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////// + /* @name Constructor + */ + + //@{ + + // Witness_range> + + /* + * \brief Iterative construction of the (weak) witness complex. + * \details The witness complex is written in sc_ basing on a matrix knn of + * nearest neighbours of the form {witnesses}x{landmarks}. + * + * The type KNearestNeighbors can be seen as + * Witness_range>, where + * Witness_range and Closest_landmark_range are random access ranges. + * + * Constructor takes into account at most (dim+1) + * first landmarks from each landmark range to construct simplices. + * + * Landmarks are supposed to be in [0,nbL_-1] + */ + template< typename InputIteratorLandmarks, + typename InputIteratorWitnesses > + Strong_witness_complex(InputIteratorLandmarks landmarks_first, + InputIteratorLandmarks landmarks_last, + InputIteratorWitnesses witnesses_first, + InputIteratorWitnesses witnesses_last) + : witnesses_(witnesses_first, witnesses_last), landmarks_(landmarks_first, landmarks_last), landmark_tree_(landmarks_) + { + } + + /** \brief Returns the point corresponding to the given vertex. + */ + Point_d get_point( std::size_t vertex ) const + { + return landmarks_[vertex]; + } + + /** \brief Outputs the (weak) witness complex with + * squared relaxation parameter 'max_alpha_square' + * to simplicial complex 'complex'. + */ + template < typename SimplicialComplexForWitness > + bool create_complex(SimplicialComplexForWitness& complex, + FT max_alpha_square) + { + unsigned nbL = landmarks_.size(); + if (complex.num_vertices() > 0) { + std::cerr << "Witness complex cannot create complex - complex is not empty.\n"; + return false; + } + if (max_alpha_square < 0) { + std::cerr << "Witness complex cannot create complex - squared relaxation parameter must be non-negative.\n"; + return false; + } + typeVectorVertex vv; + //ActiveWitnessList active_witnesses;// = new ActiveWitnessList(); + for (unsigned i = 0; i != nbL; ++i) { + // initial fill of 0-dimensional simplices + vv = {i}; + complex.insert_simplex(vv, Filtration_value(0.0)); + /* TODO Error if not inserted : normally no need here though*/ + } + for (auto w: witnesses_) { + ActiveWitness aw(landmark_tree_.query_incremental_nearest_neighbors(w)); + typeVectorVertex simplex; + typename ActiveWitness::iterator aw_it = aw.begin(); + float lim_d2 = aw.begin()->second + max_alpha_square; + while (aw_it != aw.end() && aw_it->second < lim_d2) { + simplex.push_back(aw_it->first); + complex.insert_simplex_and_subfaces(simplex, aw_it->second - aw.begin()->second); + aw_it++; + } + } + return true; + } + + //@} +}; + +} // namespace witness_complex + +} // namespace Gudhi + +#endif -- cgit v1.2.3 From 1de8ffacd531550f0ce5e871ec0f69924df3ee44 Mon Sep 17 00:00:00 2001 From: skachano Date: Wed, 5 Oct 2016 11:53:47 +0000 Subject: Minor tweaks git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1645 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 00b32608afa185b5f66679f556d8a4a892327b0b --- .../include/gudhi/Strong_witness_complex.h | 20 +-- .../include/gudhi/Witness_complex.h | 134 ++------------------- 2 files changed, 10 insertions(+), 144 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index 539c872d..f5633a98 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -63,12 +63,6 @@ namespace Gudhi { namespace witness_complex { -// /* -// * \private -// \class Witness_complex -// \brief Constructs the witness complex for the given set of witnesses and landmarks. -// \ingroup witness_complex -// */ template< class Kernel_ > class Strong_witness_complex { private: @@ -80,16 +74,6 @@ private: typedef typename Kd_tree::INS_range Nearest_landmark_range; typedef typename std::vector Nearest_landmark_table; typedef typename Nearest_landmark_range::iterator Nearest_landmark_row_iterator; - //typedef std::vector> Nearest_landmarks; - - // struct Active_witness { - // int witness_id; - // int landmark_id; - - // Active_witness(int witness_id_, int landmark_id_) - // : witness_id(witness_id_), - // landmark_id(landmark_id_) { } - // }; typedef std::vector< double > Point_t; typedef std::vector< Point_t > Point_Vector; @@ -98,8 +82,8 @@ private: typedef std::ptrdiff_t Witness_id; - typedef std::ptrdiff_t Landmark_id; - typedef std::pair Id_distance_pair; + typedef typename Nearest_landmark_range::Point_with_transformed_distance Id_distance_pair; + typedef typename Id_distance_pair::first_type Landmark_id; typedef Active_witness ActiveWitness; typedef std::list< ActiveWitness > ActiveWitnessList; typedef std::vector< Landmark_id > typeVectorVertex; diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index e939de34..e732cb18 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -67,16 +67,6 @@ private: typedef typename Kd_tree::INS_range Nearest_landmark_range; typedef typename std::vector Nearest_landmark_table; typedef typename Nearest_landmark_range::iterator Nearest_landmark_row_iterator; - //typedef std::vector> Nearest_landmarks; - - // struct Active_witness { - // int witness_id; - // int landmark_id; - - // Active_witness(int witness_id_, int landmark_id_) - // : witness_id(witness_id_), - // landmark_id(landmark_id_) { } - // }; typedef std::vector< double > Point_t; typedef std::vector< Point_t > Point_Vector; @@ -84,9 +74,9 @@ private: typedef FT Filtration_value; - typedef std::ptrdiff_t Witness_id; - typedef std::ptrdiff_t Landmark_id; - typedef std::pair Id_distance_pair; + typedef std::size_t Witness_id; + typedef typename Nearest_landmark_range::Point_with_transformed_distance Id_distance_pair; + typedef typename Id_distance_pair::first_type Landmark_id; typedef Active_witness ActiveWitness; typedef std::list< ActiveWitness > ActiveWitnessList; typedef std::vector< Landmark_id > typeVectorVertex; @@ -103,8 +93,6 @@ private: //@{ - // Witness_range> - /* * \brief Iterative construction of the (weak) witness complex. * \details The witness complex is written in sc_ basing on a matrix knn of @@ -144,7 +132,7 @@ private: bool create_complex(SimplicialComplexForWitness& complex, FT max_alpha_square) { - unsigned nbL = landmarks_.size(); + std::size_t nbL = landmarks_.size(); if (complex.num_vertices() > 0) { std::cerr << "Witness complex cannot create complex - complex is not empty.\n"; return false; @@ -169,9 +157,9 @@ private: ActiveWitness aw_copy(active_witnesses.front()); while (!active_witnesses.empty() && k < nbL ) { typename ActiveWitnessList::iterator aw_it = active_witnesses.begin(); + std::vector simplex; + simplex.reserve(k+1); while (aw_it != active_witnesses.end()) { - std::vector simplex; - //simplex.reserve(k+1); bool ok = add_all_faces_of_dimension(k, max_alpha_square, std::numeric_limits::infinity(), @@ -179,9 +167,9 @@ private: simplex, complex, aw_it->end()); + assert(simplex.empty()); if (!ok) - //{aw_it++;} - active_witnesses.erase(aw_it++); //First increase the iterator and then erase the previous element + active_witnesses.erase(aw_it++); //First increase the iterator and then erase the previous element else aw_it++; } @@ -289,114 +277,8 @@ private: } return true; } - - // bool is_face(Simplex_handle face, Simplex_handle coface) - // { - // // vertex range is sorted in decreasing order - // auto fvr = sc.simplex_vertex_range(face); - // auto cfvr = sc.simplex_vertex_range(coface); - // auto fv_it = fvr.begin(); - // auto cfv_it = cfvr.begin(); - // while (fv_it != fvr.end() && cfv_it != cfvr.end()) { - // if (*fv_it < *cfv_it) - // ++cfv_it; - // else if (*fv_it == *cfv_it) { - // ++cfv_it; - // ++fv_it; - // } - // else - // return false; - - // } - // return (fv_it == fvr.end()); - // } - - - public: - template < typename SimplicialComplexForWitness > - void print_complex(SimplicialComplexForWitness& complex) - { - std::cout << complex << "\n"; - } - - template < typename Container > - void print_container(Container& container) - { - for (auto l: container) - std::cout << l << ", "; - std::cout << "\n"; - } - - // /* - // * \brief Verification if every simplex in the complex is witnessed by witnesses in knn. - // * \param print_output =true will print the witnesses for each simplex - // * \remark Added for debugging purposes. - // */ - // template< class KNearestNeighbors > - // bool is_witness_complex(KNearestNeighbors const & knn, bool print_output) { - // for (Simplex_handle sh : sc_.complex_simplex_range()) { - // bool is_witnessed = false; - // typeVectorVertex simplex; - // int nbV = 0; // number of verticed in the simplex - // for (Vertex_handle v : sc_.simplex_vertex_range(sh)) - // simplex.push_back(v); - // nbV = simplex.size(); - // for (typeVectorVertex w : knn) { - // bool has_vertices = true; - // for (Vertex_handle v : simplex) - // if (std::find(w.begin(), w.begin() + nbV, v) == w.begin() + nbV) { - // has_vertices = false; - // } - // if (has_vertices) { - // is_witnessed = true; - // if (print_output) { - // std::cout << "The simplex "; - // print_vector(simplex); - // std::cout << " is witnessed by the witness "; - // print_vector(w); - // std::cout << std::endl; - // } - // break; - // } - // } - // if (!is_witnessed) { - // if (print_output) { - // std::cout << "The following simplex is not witnessed "; - // print_vector(simplex); - // std::cout << std::endl; - // } - // assert(is_witnessed); - // return false; - // } - // } - // return true; - // } }; - /** - * \ingroup witness_complex - * \brief Iterative construction of the witness complex. - * \details The witness complex is written in simplicial complex sc_ - * basing on a matrix knn of - * nearest neighbours of the form {witnesses}x{landmarks}. - * - * The type KNearestNeighbors can be seen as - * Witness_range>, where - * Witness_range and Closest_landmark_range are random access ranges. - * - * Procedure takes into account at most (dim+1) - * first landmarks from each landmark range to construct simplices. - * - * Landmarks are supposed to be in [0,nbL_-1] - */ - // template - // void witness_complex(KNearestNeighbors const & knn, - // int nbL, - // int dim, - // SimplicialComplexForWitness & sc) { - // Witness_complex(knn, nbL, dim, sc); - // } - } // namespace witness_complex } // namespace Gudhi -- cgit v1.2.3 From 93654d5708654a6071c1775580f625da625a08a8 Mon Sep 17 00:00:00 2001 From: skachano Date: Wed, 5 Oct 2016 15:02:50 +0000 Subject: Junk out git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1646 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: ce2dfd7033a6a8366f9861ced4ed64ac41dfb82e --- .../example/Landmark_choice_random_knn.h | 142 ----- .../example/Landmark_choice_sparsification.h | 230 ------- src/Witness_complex/example/a0_persistence.cpp | 638 ------------------ src/Witness_complex/example/bench_rwit.cpp | 709 --------------------- src/Witness_complex/example/color-picker.cpp | 37 -- src/Witness_complex/example/off_writer.h | 11 - src/Witness_complex/example/relaxed_delaunay.cpp | 180 ------ .../example/relaxed_witness_complex_sphere.cpp | 461 -------------- .../example/relaxed_witness_persistence.cpp | 267 -------- src/Witness_complex/example/strange_sphere.cpp | 219 ------- .../example/witness_complex_from_file.cpp | 36 +- src/Witness_complex/include/gudhi/A0_complex.h | 337 ---------- .../gudhi/Construct_closest_landmark_table.h | 90 --- .../include/gudhi/Dim_list_iterator.h | 155 ----- src/Witness_complex/include/gudhi/Dim_lists.h | 195 ------ src/Witness_complex/include/gudhi/Good_links.h | 449 ------------- .../gudhi/Landmark_choice_by_furthest_point.h | 105 --- .../gudhi/Landmark_choice_by_random_point.h | 96 --- .../include/gudhi/Relaxed_witness_complex.h | 379 ----------- .../include/gudhi/Strange_witness_complex.h | 232 ------- .../include/gudhi/Strong_relaxed_witness_complex.h | 337 ---------- .../include/gudhi/Weak_relaxed_witness_complex.h | 379 ----------- .../include/gudhi/Witness_complex.h | 7 +- 23 files changed, 21 insertions(+), 5670 deletions(-) delete mode 100644 src/Witness_complex/example/Landmark_choice_random_knn.h delete mode 100644 src/Witness_complex/example/Landmark_choice_sparsification.h delete mode 100644 src/Witness_complex/example/a0_persistence.cpp delete mode 100644 src/Witness_complex/example/bench_rwit.cpp delete mode 100644 src/Witness_complex/example/color-picker.cpp delete mode 100644 src/Witness_complex/example/off_writer.h delete mode 100644 src/Witness_complex/example/relaxed_delaunay.cpp delete mode 100644 src/Witness_complex/example/relaxed_witness_complex_sphere.cpp delete mode 100644 src/Witness_complex/example/relaxed_witness_persistence.cpp delete mode 100644 src/Witness_complex/example/strange_sphere.cpp delete mode 100644 src/Witness_complex/include/gudhi/A0_complex.h delete mode 100644 src/Witness_complex/include/gudhi/Construct_closest_landmark_table.h delete mode 100644 src/Witness_complex/include/gudhi/Dim_list_iterator.h delete mode 100644 src/Witness_complex/include/gudhi/Dim_lists.h delete mode 100644 src/Witness_complex/include/gudhi/Good_links.h delete mode 100644 src/Witness_complex/include/gudhi/Landmark_choice_by_furthest_point.h delete mode 100644 src/Witness_complex/include/gudhi/Landmark_choice_by_random_point.h delete mode 100644 src/Witness_complex/include/gudhi/Relaxed_witness_complex.h delete mode 100644 src/Witness_complex/include/gudhi/Strange_witness_complex.h delete mode 100644 src/Witness_complex/include/gudhi/Strong_relaxed_witness_complex.h delete mode 100644 src/Witness_complex/include/gudhi/Weak_relaxed_witness_complex.h diff --git a/src/Witness_complex/example/Landmark_choice_random_knn.h b/src/Witness_complex/example/Landmark_choice_random_knn.h deleted file mode 100644 index fb91e116..00000000 --- a/src/Witness_complex/example/Landmark_choice_random_knn.h +++ /dev/null @@ -1,142 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#ifndef LANDMARK_CHOICE_BY_RANDOM_KNN_H_ -#define LANDMARK_CHOICE_BY_RANDOM_KNN_H_ - -#include // for pair<> -#include -#include // for ptrdiff_t type - -//#include -#include -#include -//#include -#include -#include -#include -#include -#include -//#include -#include - - -namespace Gudhi { - -namespace witness_complex { - -typedef CGAL::Epick_d K; -typedef K::FT FT; -typedef K::Point_d Point_d; -typedef CGAL::Search_traits< FT, - Point_d, - typename K::Cartesian_const_iterator_d, - typename K::Construct_cartesian_const_iterator_d > Traits_base; -typedef CGAL::Euclidean_distance Euclidean_distance; -typedef CGAL::Search_traits_adapter< std::ptrdiff_t, - Point_d*, - Traits_base> STraits; -typedef CGAL::Distance_adapter< std::ptrdiff_t, - Point_d*, - Euclidean_distance > Distance_adapter; -typedef CGAL::Orthogonal_incremental_neighbor_search< STraits, - Distance_adapter > Neighbor_search; - typedef CGAL::Orthogonal_k_neighbor_search< STraits > Neighbor_search2; -typedef Neighbor_search::Tree Tree; - - - /** \brief Landmark choice strategy by taking random vertices for landmarks. - * \details It chooses nbL distinct landmarks from a random access range `points` - * and outputs a matrix {witness}*{closest landmarks} in knn. - */ - template - void landmark_choice_by_random_knn(Point_random_access_range const & points, - int nbL, - FT alpha, - unsigned limD, - KNearestNeighbours & knn, - Distance_matrix & distances) { - int nbP = points.end() - points.begin(); - assert(nbP >= nbL); - std::vector landmarks; - std::vector landmarks_ind; - Point_d p; - int chosen_landmark; - CGAL::Random rand; - // TODO(SK) Consider using rand_r(...) instead of rand(...) for improved thread safety - int current_number_of_landmarks = 0; // counter for landmarks - for (; current_number_of_landmarks != nbL; current_number_of_landmarks++) { - do chosen_landmark = rand.get_int(0,nbP); - while (std::find(landmarks_ind.begin(), landmarks_ind.end(), chosen_landmark) != landmarks_ind.end()); - p = points[chosen_landmark]; - landmarks.push_back(p); - landmarks_ind.push_back(chosen_landmark); - } - // std::cout << "Choice finished!" << std::endl; - - //int dim = points.begin()->size(); - knn = KNearestNeighbours(nbP); - distances = Distance_matrix(nbP); - STraits traits(&(landmarks[0])); - CGAL::Distance_adapter adapter(&(landmarks[0])); - Euclidean_distance ed; - Tree landmark_tree(boost::counting_iterator(0), - boost::counting_iterator(nbL), - typename Tree::Splitter(), - traits); - for (int points_i = 0; points_i < nbP; points_i++) { - Point_d const & w = points[points_i]; - Neighbor_search search(landmark_tree, - w, - FT(0), - true, - adapter); - Neighbor_search::iterator search_it = search.begin(); - // Neighbor_search2 search(landmark_tree, - // w, limD+1, - // FT(0), - // true, - // adapter); - // Neighbor_search2::iterator search_it = search.begin(); - - while (knn[points_i].size() < limD) { - distances[points_i].push_back(sqrt(search_it->second)); - knn[points_i].push_back((search_it++)->first); - } - FT dtow = distances[points_i][limD-1]; - - if (alpha != 0) - while (search_it != search.end() && search_it->second < dtow + alpha) { - distances[points_i].push_back(sqrt(search_it->second)); - knn[points_i].push_back((search_it++)->first); - } - //std::cout << "k = " << knn[points_i].size() << std::endl; - } - } - -} // namespace witness_complex - -} // namespace Gudhi - -#endif // LANDMARK_CHOICE_BY_RANDOM_POINT_H_ diff --git a/src/Witness_complex/example/Landmark_choice_sparsification.h b/src/Witness_complex/example/Landmark_choice_sparsification.h deleted file mode 100644 index d5d5fba1..00000000 --- a/src/Witness_complex/example/Landmark_choice_sparsification.h +++ /dev/null @@ -1,230 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#ifndef LANDMARK_CHOICE_BY_SPARSIFICATION_H_ -#define LANDMARK_CHOICE_BY_SPARSIFICATION_H_ - -#include // for pair<> -#include -#include // for ptrdiff_t type -#include - -//#include -#include -#include -//#include -#include -#include -#include -#include -#include -//#include -#include -#include - -namespace Gudhi { - -namespace witness_complex { - - typedef CGAL::Epick_d K; - typedef K::FT FT; - typedef K::Point_d Point_d; - typedef CGAL::Search_traits< FT, - Point_d, - typename K::Cartesian_const_iterator_d, - typename K::Construct_cartesian_const_iterator_d > Traits_base; - typedef CGAL::Euclidean_distance Euclidean_distance; - typedef CGAL::Search_traits_adapter< std::ptrdiff_t, - Point_d*, - Traits_base> STraits; - typedef CGAL::Distance_adapter< std::ptrdiff_t, - Point_d*, - Euclidean_distance > Distance_adapter; - typedef CGAL::Orthogonal_incremental_neighbor_search< STraits, - Distance_adapter > Neighbor_search; - typedef CGAL::Orthogonal_k_neighbor_search< STraits > Neighbor_search2; - typedef Neighbor_search::Tree Tree; - typedef CGAL::Fuzzy_sphere Fuzzy_sphere; - - /** \brief Landmark selection function by as a sub-epsilon-net of the - * given set of points. - */ - template - void landmark_choice_by_sparsification(Point_random_access_range & points, - unsigned nbL, - FT mu_epsilon, - Point_random_access_range & landmarks) - { - unsigned nbP = points.end() - points.begin(); - assert(nbP >= nbL); - CGAL::Random rand; - // TODO(SK) Consider using rand_r(...) instead of rand(...) for improved thread safety - STraits points_traits(&(points[0])); - CGAL::Distance_adapter points_adapter(&(points[0])); - std::vector dropped_points(nbP, false); - - Tree witness_tree(boost::counting_iterator(0), - boost::counting_iterator(nbP), - typename Tree::Splitter(), - points_traits); - - for (unsigned points_i = 0; points_i < nbP; points_i++) { - if (dropped_points[points_i]) - continue; - Point_d & w = points[points_i]; - Fuzzy_sphere fs(w, mu_epsilon, 0, points_traits); - std::vector close_neighbors; - witness_tree.search(std::insert_iterator>(close_neighbors,close_neighbors.begin()),fs); - for (int i: close_neighbors) - dropped_points[i] = true; - } - - for (unsigned points_i = 0; points_i < nbP; points_i++) { - if (dropped_points[points_i]) - landmarks.push_back(points[points_i]); - } - - if (nbL < landmarks.size()) { - std::random_shuffle(landmarks.begin(), landmarks.end()); - landmarks.resize(nbL); - } - } - - - - - /** \brief Landmark choice strategy by taking random vertices for landmarks. - * \details It chooses nbL distinct landmarks from a random access range `points` - * and outputs a matrix {witness}*{closest landmarks} in knn. - */ - template - void build_distance_matrix(Point_random_access_range const & points, - Point_random_access_range & landmarks, - FT alpha, - unsigned limD, - KNearestNeighbours & knn, - Distance_matrix & distances) - { - int nbP = points.end() - points.begin(); - knn = KNearestNeighbours(nbP); - distances = Distance_matrix(nbP); - STraits traits(&(landmarks[0])); - CGAL::Distance_adapter adapter(&(landmarks[0])); - Euclidean_distance ed; - Tree landmark_tree(boost::counting_iterator(0), - boost::counting_iterator(landmarks.size()), - typename Tree::Splitter(), - traits); - for (int points_i = 0; points_i < nbP; points_i++) { - Point_d const & w = points[points_i]; - Neighbor_search search(landmark_tree, - w, - FT(0), - true, - adapter); - Neighbor_search::iterator search_it = search.begin(); - // Neighbor_search2 search(landmark_tree, - // w, limD+1, - // FT(0), - // true, - // adapter); - // Neighbor_search2::iterator search_it = search.begin(); - - while (knn[points_i].size() <= limD) { - distances[points_i].push_back(search_it->second); //!sq_dist - knn[points_i].push_back((search_it++)->first); - } - FT dtow = distances[points_i][limD]; - - while (search_it != search.end() && search_it->second < dtow + alpha) { - distances[points_i].push_back(search_it->second); - knn[points_i].push_back((search_it++)->first); - } - //std::cout << "k = " << knn[points_i].size() << std::endl; - } - } - - /* - template - std::vector - sparsify_point_set(const Kernel &k, - Point_container const& input_pts, - typename Kernel::FT min_squared_dist) - { - typedef typename CGAL::Tangential_complex_::Point_cloud_data_structure Points_ds; - typedef typename Points_ds::INS_iterator INS_iterator; - typedef typename Points_ds::INS_range INS_range; - - typename Kernel::Squared_distance_d sqdist = k.squared_distance_d_object(); - - // Create the output container - std::vector output; - - Points_ds points_ds(input_pts); - - std::vector dropped_points(input_pts.size(), false); - - // Parse the input points, and add them if they are not too close to - // the other points - std::size_t pt_idx = 0; - for (typename Point_container::const_iterator it_pt = input_pts.begin() ; - it_pt != input_pts.end(); - ++it_pt, ++pt_idx) - { - if (dropped_points[pt_idx]) - continue; - - output.push_back(*it_pt); - - INS_range ins_range = points_ds.query_incremental_ANN(*it_pt); - - // If another point Q is closer that min_squared_dist, mark Q to be dropped - for (INS_iterator nn_it = ins_range.begin() ; - nn_it != ins_range.end() ; - ++nn_it) - { - std::size_t neighbor_point_idx = nn_it->first; - // If the neighbor is too close, we drop the neighbor - if (nn_it->second < min_squared_dist) - { - // N.B.: If neighbor_point_idx < pt_idx, - // dropped_points[neighbor_point_idx] is already true but adding a - // test doesn't make things faster, so why bother? - dropped_points[neighbor_point_idx] = true; - } - else - break; - } - } - - return output; -} - */ - - -} // namespace witness_complex - -} // namespace Gudhi - -#endif // LANDMARK_CHOICE_BY_RANDOM_POINT_H_ diff --git a/src/Witness_complex/example/a0_persistence.cpp b/src/Witness_complex/example/a0_persistence.cpp deleted file mode 100644 index 422185ca..00000000 --- a/src/Witness_complex/example/a0_persistence.cpp +++ /dev/null @@ -1,638 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2016 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#include -#include -#include -#include -#include -#include -#include "Landmark_choice_random_knn.h" -#include "Landmark_choice_sparsification.h" - -#include -#include -#include -#include -#include -#include -#include -#include -#include - -#include -#include -#include -#include - -#include "generators.h" -#include "output.h" -#include "output_tikz.h" - -using namespace Gudhi; -using namespace Gudhi::witness_complex; -using namespace Gudhi::persistent_cohomology; - -typedef std::vector Point_Vector; -typedef A0_complex< Simplex_tree<> > A0Complex; -typedef Simplex_tree<>::Simplex_handle Simplex_handle; - -typedef A0_complex< Simplex_tree<> > SRWit; -typedef Relaxed_witness_complex< Simplex_tree<> > WRWit; - -/** - * \brief Customized version of read_points - * which takes into account a possible nbP first line - * - */ -inline void -read_points_cust(std::string file_name, std::vector< std::vector< double > > & points) { - std::ifstream in_file(file_name.c_str(), std::ios::in); - if (!in_file.is_open()) { - std::cerr << "Unable to open file " << file_name << std::endl; - return; - } - std::string line; - double x; - while (getline(in_file, line)) { - std::vector< double > point; - std::istringstream iss(line); - while (iss >> x) { - point.push_back(x); - } - if (point.size() != 1) - points.push_back(point); - } - in_file.close(); -} - -void output_experiment_information(char * const file_name) -{ - std::cout << "Enter a valid experiment number. Usage: " - << file_name << " exp_no options\n"; - std::cout << "Experiment description:\n" - << "0 nbP nbL dim alpha limD mu_epsilon: " - << "Build persistence diagram on relaxed witness complex " - << "built from a point cloud on (dim-1)-dimensional sphere " - << "consisting of nbP witnesses and nbL landmarks. " - << "The maximal relaxation is alpha and the limit on simplicial complex " - << "dimension is limD.\n"; - std::cout << "1 file_name nbL alpha limD: " - << "Build persistence diagram on relaxed witness complex " - << "build from a point cloud stored in a file and nbL landmarks. " - << "The maximal relaxation is alpha and the limit on simplicial complex dimension is limD\n"; -} - -void rw_experiment(Point_Vector & point_vector, int nbL, FT alpha2, int limD, FT mu_epsilon = 0.1) -{ - clock_t start, end; - Simplex_tree<> simplex_tree; - - // Choose landmarks - std::vector > knn; - std::vector > distances; - start = clock(); - //Gudhi::witness_complex::landmark_choice_by_random_knn(point_vector, nbL, alpha, limD, knn, distances); - - std::vector landmarks; - Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); - Gudhi::witness_complex::build_distance_matrix(point_vector, // aka witnesses - landmarks, // aka landmarks - alpha2, - limD, - knn, - distances); - end = clock(); - double time = static_cast(end - start) / CLOCKS_PER_SEC; - std::cout << "Choice of " << nbL << " landmarks took " - << time << " s. \n"; - // Compute witness complex - start = clock(); - A0Complex rw(distances, - knn, - simplex_tree, - nbL, - alpha2, - limD); - end = clock(); - time = static_cast(end - start) / CLOCKS_PER_SEC; - std::cout << "Witness complex for " << nbL << " landmarks took " - << time << " s. \n"; - std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; - int streedim = 0; - for (auto s: simplex_tree.complex_simplex_range()) - if (simplex_tree.dimension(s) > streedim) - streedim = simplex_tree.dimension(s); - std::cout << "Dimension of the simplicial complex is " << streedim << std::endl; - - //std::cout << simplex_tree << "\n"; - - // Compute the persistence diagram of the complex - simplex_tree.set_dimension(limD); - persistent_cohomology::Persistent_cohomology< Simplex_tree<>, Field_Zp > pcoh(simplex_tree, true); - int p = 3; - pcoh.init_coefficients( p ); //initilizes the coefficient field for homology - start = clock(); - pcoh.compute_persistent_cohomology( alpha2/10 ); - end = clock(); - time = static_cast(end - start) / CLOCKS_PER_SEC; - std::cout << "Persistence diagram took " - << time << " s. \n"; - pcoh.output_diagram(); - - int chi = 0; - for (auto sh: simplex_tree.complex_simplex_range()) - chi += 1-2*(simplex_tree.dimension(sh)%2); - std::cout << "Euler characteristic is " << chi << std::endl; - - // Gudhi::witness_complex::Dim_lists> simplices(simplex_tree, limD); - - // simplices.collapse(); - // simplices.output_simplices(); - - // Simplex_tree<> collapsed_tree; - // for (auto sh: simplices) { - // std::vector vertices; - // for (int v: collapsed_tree.simplex_vertex_range(sh)) - // vertices.push_back(v); - // collapsed_tree.insert_simplex(vertices); - // } - std::vector landmarks_ind(nbL); - for (unsigned i = 0; i != distances.size(); ++i) { - if (distances[i][0] == 0) - landmarks_ind[knn[i][0]] = i; - } - //write_witness_mesh(point_vector, landmarks_ind, simplex_tree, simplices, false, true); - write_witness_mesh(point_vector, landmarks_ind, simplex_tree, simplex_tree.complex_simplex_range(), false, true, "witness_before_collapse.mesh"); - - // collapsed_tree.set_dimension(limD); - // persistent_cohomology::Persistent_cohomology< Simplex_tree<>, Field_Zp > pcoh2(collapsed_tree, true); - // pcoh2.init_coefficients( p ); //initilizes the coefficient field for homology - // pcoh2.compute_persistent_cohomology( alpha2/10 ); - // pcoh2.output_diagram(); - - // chi = 0; - // for (auto sh: simplices) - // chi += 1-2*(simplex_tree.dimension(sh)%2); - // std::cout << "Euler characteristic is " << chi << std::endl; - // write_witness_mesh(point_vector, landmarks_ind, collapsed_tree, collapsed_tree.complex_simplex_range(), false, true, "witness_after_collapse.mesh"); -} - -void rips_experiment(Point_Vector & points, double threshold, int dim_max) -{ - typedef std::vector Point_t; - typedef Simplex_tree ST; - clock_t start, end; - ST st; - - // Compute the proximity graph of the points - start = clock(); - Graph_t prox_graph = compute_proximity_graph(points, threshold - , euclidean_distance); - // Construct the Rips complex in a Simplex Tree - // insert the proximity graph in the simplex tree - st.insert_graph(prox_graph); - // expand the graph until dimension dim_max - st.expansion(dim_max); - end = clock(); - - double time = static_cast(end - start) / CLOCKS_PER_SEC; - std::cout << "Rips complex took " - << time << " s. \n"; - std::cout << "The complex contains " << st.num_simplices() << " simplices \n"; - //std::cout << " and has dimension " << st.dimension() << " \n"; - - // Sort the simplices in the order of the filtration - st.initialize_filtration(); - - // Compute the persistence diagram of the complex - persistent_cohomology::Persistent_cohomology pcoh(st); - // initializes the coefficient field for homology - int p = 3; - double min_persistence = -1; //threshold/5; - pcoh.init_coefficients(p); - pcoh.compute_persistent_cohomology(min_persistence); - pcoh.output_diagram(); -} - - -int experiment0 (int argc, char * const argv[]) -{ - if (argc != 8) { - std::cerr << "Usage: " << argv[0] - << " 0 nbP nbL dim alpha limD mu_epsilon\n"; - return 0; - } - /* - boost::filesystem::path p; - for (; argc > 2; --argc, ++argv) - p /= argv[1]; - */ - - int nbP = atoi(argv[2]); - int nbL = atoi(argv[3]); - int dim = atoi(argv[4]); - double alpha = atof(argv[5]); - int limD = atoi(argv[6]); - double mu_epsilon = atof(argv[7]); - - // Read the point file - Point_Vector point_vector; - generate_points_sphere(point_vector, nbP, dim); - std::cout << "Successfully generated " << point_vector.size() << " points.\n"; - std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; - - rw_experiment(point_vector, nbL, alpha, limD); - return 0; -} - -// int experiment1 (int argc, char * const argv[]) -// { -// if (argc != 3) { -// std::cerr << "Usage: " << argv[0] -// << " 1 file_name\n"; -// return 0; -// } -// /* -// boost::filesystem::path p; -// for (; argc > 2; --argc, ++argv) -// p /= argv[1]; -// */ - -// std::string file_name = argv[2]; - -// // Read the point file -// Point_Vector point_vector; -// read_points_cust(file_name, point_vector); -// std::cout << "The file contains " << point_vector.size() << " points.\n"; -// std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; - -// bool ok = false; -// int nbL, limD; -// double alpha; -// while (!ok) { -// std::cout << "Relaxed witness complex: parameters nbL, alpha, limD.\n"; -// std::cout << "Enter nbL: "; -// std::cin >> nbL; -// std::cout << "Enter alpha: "; -// std::cin >> alpha; -// std::cout << "Enter limD: "; -// std::cin >> limD; -// std::cout << "Start relaxed witness complex...\n"; -// rw_experiment(point_vector, nbL, alpha, limD); -// std::cout << "Is the result correct? [y/n]: "; -// char answer; -// std::cin >> answer; -// switch (answer) { -// case 'n': -// ok = false; break; -// default : -// ok = true; break; -// } -// } -// // ok = false; -// // while (!ok) { -// // std::cout << "Rips complex: parameters threshold, limD.\n"; -// // std::cout << "Enter threshold: "; -// // std::cin >> alpha; -// // std::cout << "Enter limD: "; -// // std::cin >> limD; -// // std::cout << "Start Rips complex...\n"; -// // rips_experiment(point_vector, alpha, limD); -// // std::cout << "Is the result correct? [y/n]: "; -// // char answer; -// // std::cin >> answer; -// // switch (answer) { -// // case 'n': -// // ok = false; break; -// // default : -// // ok = true; break; -// // } -// // } -// return 0; -// } - -int experiment1 (int argc, char * const argv[]) -{ - if (argc != 8) { - std::cerr << "Usage: " << argv[0] - << " 1 file_name nbL alpha mu_epsilon limD experiment_name\n"; - return 0; - } - /* - boost::filesystem::path p; - for (; argc > 2; --argc, ++argv) - p /= argv[1]; - */ - - std::string file_name = argv[2]; - int nbL = atoi(argv[3]), limD = atoi(argv[6]); - double alpha2 = atof(argv[4]), mu_epsilon = atof(argv[5]); - std::string experiment_name = argv[7]; - - // Read the point file - Point_Vector point_vector; - read_points_cust(file_name, point_vector); - std::cout << "The file contains " << point_vector.size() << " points.\n"; - std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; - - Simplex_tree<> simplex_tree; - std::vector > knn; - std::vector > distances; - std::vector landmarks; - Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); - Gudhi::witness_complex::build_distance_matrix(point_vector, // aka witnesses - landmarks, // aka landmarks - alpha2, - limD, - knn, - distances); - - rw_experiment(point_vector, nbL, alpha2, limD, mu_epsilon); - - // ok = false; - // while (!ok) { - // std::cout << "Rips complex: parameters threshold, limD.\n"; - // std::cout << "Enter threshold: "; - // std::cin >> alpha; - // std::cout << "Enter limD: "; - // std::cin >> limD; - // std::cout << "Start Rips complex...\n"; - // rips_experiment(point_vector, alpha, limD); - // std::cout << "Is the result correct? [y/n]: "; - // char answer; - // std::cin >> answer; - // switch (answer) { - // case 'n': - // ok = false; break; - // default : - // ok = true; break; - // } - // } - return 0; -} - - -/******************************************************************************************** - * Length of the good interval experiment - *******************************************************************************************/ - -struct Pers_endpoint { - double alpha; - bool start; - int dim; - Pers_endpoint(double alpha_, bool start_, int dim_) - : alpha(alpha_), start(start_), dim(dim_) - {} -}; - -/* -struct less_than_key { - inline bool operator() (const MyStruct& struct1, const MyStruct& struct2) { - return (struct1.key < struct2.key); - } -}; -*/ - -double good_interval_length(const std::vector & desired_homology, Simplex_tree<> & simplex_tree, double alpha2) -{ - int nbL = simplex_tree.num_vertices(); - int p = 3; - persistent_cohomology::Persistent_cohomology< Simplex_tree<>, Field_Zp > pcoh(simplex_tree, true); - pcoh.init_coefficients( p ); //initilizes the coefficient field for homology - pcoh.compute_persistent_cohomology( -1 ); - std::ofstream out_stream("pers_diag.tmp"); - pcoh.output_diagram(out_stream); - out_stream.close(); - std::ifstream in_stream("pers_diag.tmp", std::ios::in); - std::string line; - std::vector pers_endpoints; - while (getline(in_stream, line)) { - int p, dim; - double alpha_start, alpha_end; - std::istringstream iss(line); - iss >> p >> dim >> alpha_start >> alpha_end; - if (alpha_start != alpha_end) { - if (alpha_end < alpha_start) - alpha_end = alpha2; - pers_endpoints.push_back(Pers_endpoint(alpha_start, true, dim)); - pers_endpoints.push_back(Pers_endpoint(alpha_end, false, dim)); - } - } - std::cout << "Pers_endpoints.size = " << pers_endpoints.size() << std::endl; - in_stream.close(); - std::sort(pers_endpoints.begin(), - pers_endpoints.end(), - [](const Pers_endpoint & p1, const Pers_endpoint & p2){ - return p1.alpha < p2.alpha;} - ); - write_barcodes("pers_diag.tmp", alpha2); - /* - for (auto p: pers_endpoints) { - std::cout << p.alpha << " " << p.dim << " " << p.start << "\n"; - } - */ - std::vector current_homology(nbL-1,0); - current_homology[0] = 1; // for the compulsary "0 0 inf" entry - double good_start = 0, good_end = 0; - double sum_intervals = 0; - int num_pieces = 0; - bool interval_in_process = (desired_homology == current_homology); - for (auto p: pers_endpoints) { - /* - std::cout << "Treating " << p.alpha << " " << p.dim << " " << p.start - << " ["; - for (int v: current_homology) - std::cout << v << " "; - std::cout << "]\n"; - */ - if (p.start) - current_homology[p.dim]++; - else - current_homology[p.dim]--; - if (interval_in_process) { - good_end = p.alpha; - sum_intervals += good_end - good_start; - std::cout << "good_start = " << good_start - << ", good_end = " << good_end << "\n"; - - Gudhi::witness_complex::Dim_lists> simplices(simplex_tree, nbL-1, (good_end - good_start)/2); - simplices.collapse(); - simplices.output_simplices(); - interval_in_process = false; - //break; - } - else if (desired_homology == current_homology) { - interval_in_process = true; - good_start = p.alpha; - num_pieces++; - } - } - std::cout << "Number of good homology intervals: " << num_pieces << "\n"; - return sum_intervals; -} - -void run_comparison(std::vector > const & knn, - std::vector > const & distances, - unsigned nbL, - double alpha2, - std::vector& desired_homology) -{ - clock_t start, end; - Simplex_tree<> simplex_tree; - - start = clock(); - SRWit srwit(distances, - knn, - simplex_tree, - nbL, - alpha2, - nbL-1); - end = clock(); - std::cout << "SRWit.size = " << simplex_tree.num_simplices() << std::endl; - simplex_tree.set_dimension(nbL-1); - - std::cout << "Good homology interval length for SRWit is " - << good_interval_length(desired_homology, simplex_tree, alpha2) << "\n"; - std::cout << "Time: " << static_cast(end - start) / CLOCKS_PER_SEC << " s. \n"; - - /* - Simplex_tree<> simplex_tree2; - start = clock(); - WRWit wrwit(distances, - knn, - simplex_tree2, - nbL, - alpha2, - nbL-1); - end = clock(); - std::cout << "WRWit.size = " << simplex_tree2.num_simplices() << std::endl; - simplex_tree.set_dimension(nbL-1); - - std::cout << "Good homology interval length for WRWit is " - << good_interval_length(desired_homology, simplex_tree2, alpha2) << "\n"; - std::cout << "Time: " << static_cast(end - start) / CLOCKS_PER_SEC << " s. \n"; - */ -} - -int experiment2(int argc, char * const argv[]) -{ - for (unsigned d = 2; d < 2; d++) { - // Sphere S^d - Point_Vector point_vector; - unsigned N = 1; - double alpha2 = 2.4 - 0.4*d; - switch (d) { - case 1: alpha2 = 2.2; break; - case 2: alpha2 = 1.8; break; - case 3: alpha2 = 1.5; break; - case 4: alpha2 = 1.4; break; - default: alpha2 = 1.4; break; - } - std::cout << "alpha2 = " << alpha2 << "\n"; - unsigned nbL = 20; - std::vector desired_homology(nbL-1,0); - desired_homology[0] = 1; desired_homology[d] = 1; - - - for (unsigned i = 1; i <= N; ++i) { - unsigned nbW = 1000*i;//, nbL = 20; - double mu_epsilon = 1/sqrt(nbL); - std::cout << "Running test S"<< d <<", |W|=" << nbW << ", |L|=" << nbL << std::endl; - generate_points_sphere(point_vector, i*1000, d+1); - std::vector landmarks; - Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); - - std::vector > knn; - std::vector > distances; - - std::cout << "|L| after sparsification: " << landmarks.size() << "\n"; - Gudhi::witness_complex::build_distance_matrix(point_vector, // aka witnesses - landmarks, // aka landmarks - alpha2, - nbL-1, - knn, - distances); - run_comparison(knn, distances, nbL, alpha2, desired_homology); - } - } - { - // SO(3) - Point_Vector point_vector; - double alpha2 = 0.6; - std::cout << "alpha2 = " << alpha2 << "\n"; - unsigned nbL = 150; - std::vector desired_homology(nbL-1,0); - desired_homology[0] = 1; desired_homology[1] = 1; desired_homology[2] = 1; //Kl - // desired_homology[0] = 1; desired_homology[3] = 1; //SO3 - - double mu_epsilon = 1/sqrt(nbL); - if (argc < 3) std::cerr << "No file name indicated!\n"; - read_points_cust(argv[2], point_vector); - int nbW = point_vector.size(); - std::cout << "Running test SO(3), |W|=" << nbW << ", |L|=" << nbL << std::endl; - std::vector landmarks; - Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); - - std::vector > knn; - std::vector > distances; - - std::cout << "|L| after sparsification: " << landmarks.size() << "\n"; - Gudhi::witness_complex::build_distance_matrix(point_vector, // aka witnesses - landmarks, // aka landmarks - alpha2, - nbL-1, - knn, - distances); - run_comparison(knn, distances, nbL, alpha2, desired_homology); - } - return 0; -} - -int experiment3(int argc, char * const argv[]) -{ - // COLLAPSES EXPERIMENT - - return 0; -} - -int main (int argc, char * const argv[]) -{ - if (argc == 1) { - output_experiment_information(argv[0]); - return 1; - } - switch (atoi(argv[1])) { - case 0 : - return experiment0(argc, argv); - break; - case 1 : - return experiment1(argc, argv); - break; - case 2 : - return experiment2(argc, argv); - break; - default : - output_experiment_information(argv[0]); - return 1; - } -} diff --git a/src/Witness_complex/example/bench_rwit.cpp b/src/Witness_complex/example/bench_rwit.cpp deleted file mode 100644 index 2d3a009c..00000000 --- a/src/Witness_complex/example/bench_rwit.cpp +++ /dev/null @@ -1,709 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2016 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#include -#include -#include -#include -#include -#include -#include -#include "Landmark_choice_random_knn.h" -#include "Landmark_choice_sparsification.h" - -#include -#include -#include -#include -#include -#include -#include -#include -#include - -#include -#include -#include -#include - -#include - -#include "generators.h" -#include "output.h" -#include "output_tikz.h" - -using namespace Gudhi; -using namespace Gudhi::witness_complex; -using namespace Gudhi::persistent_cohomology; - -typedef std::vector Point_Vector; -//typedef Simplex_tree STree; -typedef Simplex_tree<> STree; -typedef A0_complex< STree> A0Complex; -typedef STree::Simplex_handle Simplex_handle; - -typedef A0_complex< STree > SRWit; -typedef Relaxed_witness_complex< STree > WRWit; - -/** Program options *************************************************************** -*********************************************************************************** -*********************************************************************************** -*********************************************************************************** -**********************************************************************************/ - - -void program_options(int argc, char * const argv[] - , int & experiment_number - , std::string & filepoints - , std::string & landmark_file - , std::string & experiment_name - , int & nbL - , double & alpha2_s - , double & alpha2_w - , double & mu_epsilon - , int & dim_max - , std::vector & desired_homology - , double & min_persistence) { - namespace po = boost::program_options; - po::options_description hidden("Hidden options"); - hidden.add_options() - ("option", po::value(& experiment_number), - "Experiment id.") - ("input-file", po::value(&filepoints), - "Name of file containing a point set. Format is one point per line: X1 ... Xd "); - - po::options_description visible("Allowed options", 100); - visible.add_options() - ("help,h", "produce help message") - ("output-file,o", po::value(&experiment_name)->default_value("witness"), - "The prefix of all the output files. Default is 'witness'") - ("landmarks,L", po::value(&nbL)->default_value(0), - "Number of landmarks.") - ( "landmark-file,l", po::value(&landmark_file), - "Name of a fike containing landmarks") - ("alpha2_s,A", po::value(&alpha2_s)->default_value(0), - "Relaxation parameter for the strong complex.") - ("alpha2_w,a", po::value(&alpha2_w)->default_value(0), - "Relaxation parameter for the weak complex.") - ("mu_epsilon,e", po::value(&mu_epsilon)->default_value(0), - "Sparsification parameter.") - ("cpx-dimension,d", po::value(&dim_max)->default_value(1), - "Maximal dimension of the Witness complex we want to compute.") - - ("homology,H", po::value>(&desired_homology)->multitoken(), - "The desired Betti numbers.") - ("min-persistence,m", po::value(&min_persistence), - "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length intervals"); - - po::positional_options_description pos; - pos.add("option", 1); - pos.add("input-file", 2); - - po::options_description all; - all.add(visible).add(hidden); - - po::variables_map vm; - po::store(po::command_line_parser(argc, argv). - options(all).positional(pos).run(), vm); - po::notify(vm); - - if (vm.count("help") || !vm.count("input-file")) { - std::cout << std::endl; - std::cout << "Compute the persistent homology with coefficient field Z/3Z \n"; - std::cout << "of a Strong relaxed witness complex defined on a set of input points.\n \n"; - std::cout << "The output diagram contains one bar per line, written with the convention: \n"; - std::cout << " p dim b d \n"; - std::cout << "where dim is the dimension of the homological feature,\n"; - std::cout << "b and d are respectively the birth and death of the feature and \n"; - std::cout << "p is the characteristic of the field Z/pZ used for homology coefficients." << std::endl << std::endl; - - std::cout << "Usage: " << argv[0] << " [options] input-file" << std::endl << std::endl; - std::cout << visible << std::endl; - std::abort(); - } -} - - - - - -/** - * \brief Customized version of read_points - * which takes into account a possible nbP first line - * - */ -inline void -read_points_cust(std::string file_name, std::vector< std::vector< double > > & points) { - std::ifstream in_file(file_name.c_str(), std::ios::in); - if (!in_file.is_open()) { - std::cerr << "Unable to open file " << file_name << std::endl; - return; - } - std::string line; - double x; - while (getline(in_file, line)) { - std::vector< double > point; - std::istringstream iss(line); - while (iss >> x) { - point.push_back(x); - } - if (point.size() != 1) - points.push_back(point); - } - in_file.close(); -} - -void rips(Point_Vector & points, double alpha2, int dim_max, STree& st) -{ - Graph_t prox_graph = compute_proximity_graph(points, sqrt(alpha2) - , euclidean_distance >); - // Construct the Rips complex in a Simplex Tree - // insert the proximity graph in the simplex tree - st.insert_graph(prox_graph); - // expand the graph until dimension dim_max - st.expansion(dim_max); -} - -void output_experiment_information(char * const file_name) -{ - std::cout << "Enter a valid experiment number. Usage: " - << file_name << " exp_no options\n"; - std::cout << "Experiment description:\n" - << "0 nbP nbL dim alpha limD mu_epsilon: " - << "Build persistence diagram on relaxed witness complex " - << "built from a point cloud on (dim-1)-dimensional sphere " - << "consisting of nbP witnesses and nbL landmarks. " - << "The maximal relaxation is alpha and the limit on simplicial complex " - << "dimension is limD.\n"; - std::cout << "1 file_name nbL alpha limD: " - << "Build persistence diagram on relaxed witness complex " - << "build from a point cloud stored in a file and nbL landmarks. " - << "The maximal relaxation is alpha and the limit on simplicial complex dimension is limD\n"; -} - -void rw_experiment(Point_Vector & point_vector, int nbL, FT alpha2, int limD, FT mu_epsilon = 0.1, - std::string mesh_filename = "witness") -{ - clock_t start, end; - STree simplex_tree; - - // Choose landmarks - std::vector > knn; - std::vector > distances; - start = clock(); - //Gudhi::witness_complex::landmark_choice_by_random_knn(point_vector, nbL, alpha, limD, knn, distances); - - std::vector landmarks; - Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); - Gudhi::witness_complex::build_distance_matrix(point_vector, // aka witnesses - landmarks, // aka landmarks - alpha2, - limD, - knn, - distances); - end = clock(); - double time = static_cast(end - start) / CLOCKS_PER_SEC; - std::cout << "Choice of " << nbL << " landmarks took " - << time << " s. \n"; - // Compute witness complex - start = clock(); - A0Complex rw(distances, - knn, - simplex_tree, - nbL, - alpha2, - limD); - end = clock(); - time = static_cast(end - start) / CLOCKS_PER_SEC; - std::cout << "Witness complex for " << nbL << " landmarks took " - << time << " s. \n"; - std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; - //std::cout << simplex_tree << "\n"; - - // Compute the persistence diagram of the complex - simplex_tree.set_dimension(limD); - persistent_cohomology::Persistent_cohomology< STree, Field_Zp > pcoh(simplex_tree, true); - int p = 3; - pcoh.init_coefficients( p ); //initilizes the coefficient field for homology - start = clock(); - pcoh.compute_persistent_cohomology( alpha2/10 ); - end = clock(); - time = static_cast(end - start) / CLOCKS_PER_SEC; - std::cout << "Persistence diagram took " - << time << " s. \n"; - pcoh.output_diagram(); - - int chi = 0; - for (auto sh: simplex_tree.complex_simplex_range()) - chi += 1-2*(simplex_tree.dimension(sh)%2); - std::cout << "Euler characteristic is " << chi << std::endl; - - Gudhi::witness_complex::Dim_lists simplices(simplex_tree, limD); - - // std::vector simplices; - std::cout << "Starting collapses...\n"; - simplices.collapse(); - simplices.output_simplices(); - - STree collapsed_tree; - for (auto sh: simplices) { - std::vector vertices; - for (int v: collapsed_tree.simplex_vertex_range(sh)) - vertices.push_back(v); - collapsed_tree.insert_simplex(vertices); - } - std::vector landmarks_ind(nbL); - for (unsigned i = 0; i != distances.size(); ++i) { - if (distances[i][0] == 0) - landmarks_ind[knn[i][0]] = i; - } - //write_witness_mesh(point_vector, landmarks_ind, simplex_tree, simplices, false, true); - write_witness_mesh(point_vector, landmarks_ind, simplex_tree, simplex_tree.complex_simplex_range(), false, true, mesh_filename+"_before_collapse.mesh"); - - collapsed_tree.set_dimension(limD); - persistent_cohomology::Persistent_cohomology< STree, Field_Zp > pcoh2(collapsed_tree, true); - pcoh2.init_coefficients( p ); //initilizes the coefficient field for homology - pcoh2.compute_persistent_cohomology( alpha2/10 ); - pcoh2.output_diagram(); - - chi = 0; - for (auto sh: simplices) - chi += 1-2*(simplex_tree.dimension(sh)%2); - std::cout << "Euler characteristic is " << chi << std::endl; - write_witness_mesh(point_vector, landmarks_ind, collapsed_tree, collapsed_tree.complex_simplex_range(), false, true, mesh_filename+"_after_collapse.mesh"); - Gudhi::Good_links gl(collapsed_tree); - if (gl.complex_is_pseudomanifold()) - std::cout << "Collapsed complex is a pseudomanifold.\n"; - else - std::cout << "Collapsed complex is NOT a pseudomanifold.\n"; - bool good = true; - for (auto v: collapsed_tree.complex_vertex_range()) - if (!gl.has_good_link(v)) { - std::cout << "Bad link around " << v << std::endl; - good = false; - } - if (good) - std::cout << "All links are good.\n"; - else - std::cout << "There are bad links.\n"; -} - -void rips_experiment(Point_Vector & points, double threshold, int dim_max) -{ - typedef STree ST; - clock_t start, end; - ST st; - - // Compute the proximity graph of the points - start = clock(); - rips(points, threshold, dim_max, st); - end = clock(); - - double time = static_cast(end - start) / CLOCKS_PER_SEC; - std::cout << "Rips complex took " - << time << " s. \n"; - std::cout << "The complex contains " << st.num_simplices() << " simplices \n"; - //std::cout << " and has dimension " << st.dimension() << " \n"; - - // Sort the simplices in the order of the filtration - st.initialize_filtration(); - - // Compute the persistence diagram of the complex - persistent_cohomology::Persistent_cohomology pcoh(st); - // initializes the coefficient field for homology - int p = 3; - double min_persistence = -1; //threshold/5; - pcoh.init_coefficients(p); - pcoh.compute_persistent_cohomology(min_persistence); - pcoh.output_diagram(); -} - - -int experiment0 (int argc, char * const argv[]) -{ - if (argc != 8) { - std::cerr << "Usage: " << argv[0] - << " 0 nbP nbL dim alpha limD mu_epsilon\n"; - return 0; - } - /* - boost::filesystem::path p; - for (; argc > 2; --argc, ++argv) - p /= argv[1]; - */ - - int nbP = atoi(argv[2]); - int nbL = atoi(argv[3]); - int dim = atoi(argv[4]); - double alpha = atof(argv[5]); - int limD = atoi(argv[6]); - double mu_epsilon = atof(argv[7]); - - // Read the point file - Point_Vector point_vector; - generate_points_sphere(point_vector, nbP, dim); - std::cout << "Successfully generated " << point_vector.size() << " points.\n"; - std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; - - rw_experiment(point_vector, nbL, alpha, limD); - return 0; -} - - -/******************************************************************************************** - * Length of the good interval experiment - *******************************************************************************************/ - -struct Pers_endpoint { - double alpha; - bool start; - int dim; - Pers_endpoint(double alpha_, bool start_, int dim_) - : alpha(alpha_), start(start_), dim(dim_) - {} -}; - -/* -struct less_than_key { - inline bool operator() (const MyStruct& struct1, const MyStruct& struct2) { - return (struct1.key < struct2.key); - } -}; -*/ - -double good_interval_length(const std::vector & desired_homology, STree & simplex_tree, double alpha2) -{ - int nbL = simplex_tree.num_vertices(); - int p = 3; - persistent_cohomology::Persistent_cohomology< STree, Field_Zp > pcoh(simplex_tree, true); - pcoh.init_coefficients( p ); //initilizes the coefficient field for homology - pcoh.compute_persistent_cohomology( -1 ); - std::ofstream out_stream("pers_diag.tmp"); - pcoh.output_diagram(out_stream); - out_stream.close(); - std::ifstream in_stream("pers_diag.tmp", std::ios::in); - std::string line; - std::vector pers_endpoints; - while (getline(in_stream, line)) { - unsigned p, dim; - double alpha_start, alpha_end; - std::istringstream iss(line); - iss >> p >> dim >> alpha_start >> alpha_end; - if (iss.fail()) - alpha_end = alpha2; - //std::cout << p << " " << dim << " " << alpha_start << " " << alpha_end << "\n"; - //if (dim < desired_homology.size()+1) - if (alpha_start != alpha_end) { - // if (alpha_end < alpha_start) - // alpha_end = alpha2; - pers_endpoints.push_back(Pers_endpoint(alpha_start, true, dim)); - pers_endpoints.push_back(Pers_endpoint(alpha_end, false, dim)); - std::cout << p << " " << dim << " " << alpha_start << " " << alpha_end << "\n"; - } - } - std::cout << "desired_homology.size() = " << desired_homology.size() << "\n"; - for (auto nd: desired_homology) - std::cout << nd << std::endl; - std::cout << "Pers_endpoints.size = " << pers_endpoints.size() << std::endl; - in_stream.close(); - std::sort(pers_endpoints.begin(), - pers_endpoints.end(), - [](const Pers_endpoint & p1, const Pers_endpoint & p2){ - return p1.alpha < p2.alpha;} - ); - write_barcodes("pers_diag.tmp", alpha2); - /* - for (auto p: pers_endpoints) { - std::cout << p.alpha << " " << p.dim << " " << p.start << "\n"; - } - */ - std::vector current_homology(desired_homology.size(),0); - //current_homology[0] = 1; // for the compulsary "0 0 inf" entry - double good_start = 0, good_end = 0; - double sum_intervals = 0; - int num_pieces = 0; - bool interval_in_process = (desired_homology == current_homology); - for (auto p: pers_endpoints) { - /* - std::cout << p.alpha << " " << p.dim << " "; - if (p.start) - std::cout << "s\n"; - else - std::cout << "e\n"; - */ - /* - std::cout << "Treating " << p.alpha << " " << p.dim << " " << p.start - << " ["; - for (int v: current_homology) - std::cout << v << " "; - std::cout << "]\n"; - */ - if (p.start) - current_homology[p.dim]++; - else - current_homology[p.dim]--; - if (interval_in_process) { - good_end = p.alpha; - sum_intervals += good_end - good_start; - std::cout << "good_start = " << good_start - << ", good_end = " << good_end << "\n"; - - Gudhi::witness_complex::Dim_lists simplices(simplex_tree, nbL-1, (good_end - good_start)/2); - //simplices.collapse(); - //simplices.output_simplices(); - interval_in_process = false; - //break; - } - else if (desired_homology == current_homology) { - interval_in_process = true; - good_start = p.alpha; - num_pieces++; - } - } - std::cout << "Number of good homology intervals: " << num_pieces << "\n"; - return sum_intervals; -} - - - -void run_comparison(std::vector > const & knn, - std::vector > const & distances, - Point_Vector & points, - unsigned nbL, - unsigned limD, - double alpha2_s, - double alpha2_w, - std::vector& desired_homology) -{ - clock_t start, end; - STree simplex_tree; - - //std::cout << "alpha2 = " << alpha2_s << "\n"; - start = clock(); - SRWit srwit(distances, - knn, - simplex_tree, - nbL, - alpha2_s, - limD); - end = clock(); - std::cout << "SRWit.size = " << simplex_tree.num_simplices() << std::endl; - simplex_tree.set_dimension(desired_homology.size()); - - std::cout << "Good homology interval length for SRWit is " - << good_interval_length(desired_homology, simplex_tree, alpha2_s) << "\n"; - std::cout << "Time: " << static_cast(end - start) / CLOCKS_PER_SEC << " s. \n"; - int chi = 0; - for (auto sh: simplex_tree.complex_simplex_range()) - chi += 1-2*(simplex_tree.dimension(sh)%2); - std::cout << "Euler characteristic is " << chi << std::endl; - - - STree simplex_tree2; - std::cout << "alpha2 = " << alpha2_w << "\n"; - start = clock(); - WRWit wrwit(distances, - knn, - simplex_tree2, - nbL, - alpha2_w, - limD); - end = clock(); - std::cout << "WRWit.size = " << simplex_tree2.num_simplices() << std::endl; - simplex_tree2.set_dimension(nbL-1); - - std::cout << "Good homology interval length for WRWit is " - << good_interval_length(desired_homology, simplex_tree2, alpha2_w) << "\n"; - std::cout << "Time: " << static_cast(end - start) / CLOCKS_PER_SEC << " s. \n"; - chi = 0; - for (auto sh: simplex_tree2.complex_simplex_range()) - chi += 1-2*(simplex_tree2.dimension(sh)%2); - std::cout << "Euler characteristic is " << chi << std::endl; - - //write_witness_mesh(points, landmarks_ind, simplex_tree2, simplex_tree2.complex_simplex_range(), false, true, "wrwit.mesh"); - - -} - -int experiment1 (int argc, char * const argv[]) -{ - /* - boost::filesystem::path p; - for (; argc > 2; --argc, ++argv) - p /= argv[1]; - */ - - // std::string file_name = argv[2]; - // int nbL = atoi(argv[3]), limD = atoi(argv[6]); - // double alpha2 = atof(argv[4]), mu_epsilon = atof(argv[5]); - // std::string experiment_name = argv[7]; - - int option = 1; - std::string file_name, landmark_file; - int nbL = 0, limD; - double alpha2_s, alpha2_w, mu_epsilon, min_pers; - std::string experiment_name; - std::vector desired_homology = {1}; - std::vector landmarks; - - program_options(argc, argv, option, file_name, landmark_file, experiment_name, nbL, alpha2_s, alpha2_w, mu_epsilon, limD, desired_homology, min_pers); - - // Read the point file - Point_Vector point_vector; - read_points_cust(file_name, point_vector); - //std::cout << "The file contains " << point_vector.size() << " points.\n"; - //std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; - //std::cout << "Limit dimension for the complexes is " << limD << ".\n"; - - if (landmark_file == "") - Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); - //Gudhi::witness_complex::landmark_choice_by_random_knn(point_vector, nbL, alpha2_s, limD, knn, distances); - else - read_points_cust(landmark_file, landmarks); - nbL = landmarks.size(); - STree simplex_tree; - std::vector > knn; - std::vector > distances; - - //Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); - Gudhi::witness_complex::build_distance_matrix(point_vector, // aka witnesses - landmarks, // aka landmarks - alpha2_s, - limD, - knn, - distances); - - run_comparison(knn, distances, point_vector, nbL, limD, alpha2_s, alpha2_w, desired_homology); - return 0; -} - - -int experiment2(int argc, char * const argv[]) -{ - for (unsigned d = 3; d < 4; d++) { - // Sphere S^d - Point_Vector point_vector; - unsigned N = 1; - double alpha2 = 2.4 - 0.4*d; - switch (d) { - case 1: alpha2 = 2.2; break; - case 2: alpha2 = 1.7; break; - case 3: alpha2 = 1.5; break; - case 4: alpha2 = 1.4; break; - default: alpha2 = 1.4; break; - } - unsigned nbL = 20; - std::vector desired_homology(nbL-1,0); - desired_homology[0] = 1; desired_homology[d] = 1; - - - for (unsigned i = 1; i <= N; ++i) { - unsigned nbW = 1000*i;//, nbL = 20; - double mu_epsilon = 1/sqrt(nbL); - std::cout << "Running test S"<< d <<", |W|=" << nbW << ", |L|=" << nbL << std::endl; - generate_points_sphere(point_vector, i*1000, d+1); - std::vector landmarks; - - Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); - - std::vector > knn; - std::vector > distances; - - - std::cout << "|L| after sparsification: " << landmarks.size() << "\n"; - - Gudhi::witness_complex::build_distance_matrix(point_vector, // aka witnesses - landmarks, // aka landmarks - alpha2, - nbL-1, - knn, - distances); - run_comparison(knn, distances, point_vector, nbL, nbL-1, alpha2, alpha2, desired_homology); - } - } - /* - { - // SO(3) - Point_Vector point_vector; - double alpha2 = 0.6; - std::cout << "alpha2 = " << alpha2 << "\n"; - unsigned nbL = 150; - std::vector desired_homology(nbL-1,0); - desired_homology[0] = 1; desired_homology[1] = 1; desired_homology[2] = 1; //Kl - // desired_homology[0] = 1; desired_homology[3] = 1; //SO3 - - double mu_epsilon = 1/sqrt(nbL); - if (argc < 3) std::cerr << "No file name indicated!\n"; - read_points_cust(argv[2], point_vector); - int nbW = point_vector.size(); - std::cout << "Running test SO(3), |W|=" << nbW << ", |L|=" << nbL << std::endl; - std::vector landmarks; - Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); - - std::vector > knn; - std::vector > distances; - - std::cout << "|L| after sparsification: " << landmarks.size() << "\n"; - Gudhi::witness_complex::build_distance_matrix(point_vector, // aka witnesses - landmarks, // aka landmarks - alpha2, - nbL-1, - knn, - distances); - run_comparison(knn, distances, point_vector, nbL, alpha2, desired_homology); - } - */ - return 0; -} - -int experiment3(int argc, char * const argv[]) -{ - // Both witnesses and landmarks are given as input - - - return 0; -} - -int main (int argc, char * const argv[]) -{ - if (argc == 1) { - output_experiment_information(argv[0]); - return 1; - } - switch (atoi(argv[1])) { - case 0 : - return experiment0(argc, argv); - break; - case 1 : - return experiment1(argc, argv); - break; - case 2 : - return experiment2(argc, argv); - break; - case 3 : - return experiment3(argc, argv); - break; - default : - output_experiment_information(argv[0]); - return 1; - } -} diff --git a/src/Witness_complex/example/color-picker.cpp b/src/Witness_complex/example/color-picker.cpp deleted file mode 100644 index fcea033e..00000000 --- a/src/Witness_complex/example/color-picker.cpp +++ /dev/null @@ -1,37 +0,0 @@ -#include -#include - -struct Color { - double r, g, b; - Color() : r(0), g(0), b(0) { } - Color(double r_, double g_, double b_) - : r(r_), g(g_), b(b_) { } -}; - -// Convert a double in [0,1] to a color -template< typename ColorType > -void double_to_color(double t, ColorType & color) { - assert(t >= 0 && t <= 1); - double s = 1.0/6; - if (t >= 0 && t <= s) - color = ColorType(1, 6*t, 0); - else if (t > s && t <= 2*s) - color = ColorType(1-6*(t-s), 1, 0); - else if (t > 2*s && t <= 3*s) - color = ColorType(0, 1, 6*(t-2*s)); - else if (t > 3*s && t <= 4*s) - color = ColorType(0, 1-6*(t-3*s), 1); - else if (t > 4*s && t <= 5*s) - color = ColorType(6*(t-4*s), 0, 1); - else - color = ColorType(1, 0, 1-6*(t-5*s)); -} - -int main (int argc, char * const argv[]) { - double number_to_convert = 0; - std::cout << "Enter a real number in [0,1]: "; - std::cin >> number_to_convert; - Color color; - double_to_color(number_to_convert, color); - std::cout << "The corresponding color in rgb is: (" << color.r << ", " << color.g << ", " << color.b << ")\n"; -} diff --git a/src/Witness_complex/example/off_writer.h b/src/Witness_complex/example/off_writer.h deleted file mode 100644 index 8cafe9e2..00000000 --- a/src/Witness_complex/example/off_writer.h +++ /dev/null @@ -1,11 +0,0 @@ -#ifndef OFF_WRITER_H_ -#define OFF_WRITER_H_ - - -class Off_Writer { - -private: - -} - -#endif diff --git a/src/Witness_complex/example/relaxed_delaunay.cpp b/src/Witness_complex/example/relaxed_delaunay.cpp deleted file mode 100644 index b0190446..00000000 --- a/src/Witness_complex/example/relaxed_delaunay.cpp +++ /dev/null @@ -1,180 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2016 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#include -#include -#include -#include -#include -#include "Landmark_choice_random_knn.h" -#include "Landmark_choice_sparsification.h" - -#include -#include -#include -#include -#include -#include -#include -#include -#include - -#include -#include -#include -#include - -#include -#include -//#include - -#include "generators.h" -#include "output.h" - -using namespace Gudhi; -using namespace Gudhi::witness_complex; -using namespace Gudhi::persistent_cohomology; - -typedef CGAL::Epick_d K; -typedef K::Point_d Point_d; -typedef K::Sphere_d Sphere_d; -typedef CGAL::Delaunay_triangulation Delaunay_triangulation; - -typedef std::vector Point_Vector; -typedef Relaxed_witness_complex< Simplex_tree<> > RelaxedWitnessComplex; -typedef Simplex_tree<>::Simplex_handle Simplex_handle; - - - -/** - * \brief Customized version of read_points - * which takes into account a possible nbP first line - * - */ -inline void -read_points_cust(std::string file_name, std::vector< std::vector< double > > & points) { - std::ifstream in_file(file_name.c_str(), std::ios::in); - if (!in_file.is_open()) { - std::cerr << "Unable to open file " << file_name << std::endl; - return; - } - std::string line; - double x; - while (getline(in_file, line)) { - std::vector< double > point; - std::istringstream iss(line); - while (iss >> x) { - point.push_back(x); - } - if (point.size() != 1) - points.push_back(point); - } - in_file.close(); -} - -int main (int argc, char * const argv[]) -{ - if (argc != 4) { - std::cerr << "Usage: " << argv[0] - << " 1 file_name alpha limD\n"; - return 0; - } - std::string file_name = argv[1]; - double alpha2 = atof(argv[2]); - int limD = atoi(argv[3]); - - // Read points - Point_Vector point_vector; - read_points_cust(file_name, point_vector); - generate_points_random_box(point_vector, 200, 2); - write_points(file_name, point_vector); - - std::cout << "The file contains " << point_vector.size() << " points.\n"; - std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; - - // 1. Compute Delaunay centers - Delaunay_triangulation delaunay(point_vector[0].size()); - delaunay.insert(point_vector.begin(), point_vector.end()); - Point_Vector del_centers; - for (auto f_it = delaunay.full_cells_begin(); f_it != delaunay.full_cells_end(); ++f_it) { - if (delaunay.is_infinite(f_it)) - continue; - Point_Vector vertices; - for (auto v_it = f_it->vertices_begin(); v_it != f_it->vertices_end(); ++v_it) - vertices.push_back((*v_it)->point()); - Sphere_d sphere(vertices.begin(), vertices.end()); - del_centers.push_back(sphere.center()); - } - std::cout << "Delaunay center count: " << del_centers.size() << ".\n"; - - // 2. Build Relaxed Witness Complex - std::vector> knn; - std::vector> distances; - Gudhi::witness_complex::build_distance_matrix(del_centers, // aka witnesses - point_vector, // aka landmarks - alpha2, - limD, - knn, - distances); - - write_wl("wl_distances.txt", distances); - Simplex_tree<> simplex_tree; - Gudhi::witness_complex::Relaxed_witness_complex> rwc(distances, - knn, - simplex_tree, - point_vector.size(), - alpha2, - limD); - std::vector dim_simplices(limD+1); - for (auto sh: simplex_tree.complex_simplex_range()) { - dim_simplices[simplex_tree.dimension(sh)]++; - } - for (unsigned i =0; i != dim_simplices.size(); ++i) - std::cout << "dim[" << i << "]: " << dim_simplices[i] << " simplices.\n"; - - std::vector landmarks_ind; - for (unsigned i = 0; i < point_vector.size(); ++i) - landmarks_ind.push_back(i); - write_witness_mesh(point_vector, landmarks_ind, simplex_tree, simplex_tree.complex_simplex_range(), true, true, "relaxed_delaunay.mesh"); - - // 3. Check if the thing is Relaxed Delaunay - for (auto sh: simplex_tree.complex_simplex_range()) { - Point_Vector vertices; - for (auto v: simplex_tree.simplex_vertex_range(sh)) - vertices.push_back(point_vector[v]); - Sphere_d sphere(vertices.begin(), vertices.end()); - Point_d center = sphere.center(); - double r2 = sphere.squared_radius(); - typename K::Squared_distance_d dist2; - std::vector v_inds; - for (auto v: simplex_tree.simplex_vertex_range(sh)) - v_inds.push_back(v); - auto range_begin = std::begin(v_inds); - auto range_end = std::end(v_inds); - if (simplex_tree.dimension(sh) == (int)point_vector[0].size()) - for (auto v: simplex_tree.complex_vertex_range()) - if (std::find(range_begin, range_end, v) == range_end) { - if (dist2(point_vector[v], center) < r2 - alpha2) - std::cout << "WARNING! The vertex " << point_vector[v] << " is inside the (r2-alpha2)-ball (" << center << ", " << r2 << ") distance is " << dist2(point_vector[v], center) << "\n"; - } - } -} diff --git a/src/Witness_complex/example/relaxed_witness_complex_sphere.cpp b/src/Witness_complex/example/relaxed_witness_complex_sphere.cpp deleted file mode 100644 index 067321ce..00000000 --- a/src/Witness_complex/example/relaxed_witness_complex_sphere.cpp +++ /dev/null @@ -1,461 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#include -#include -#include -#include -#include -#include -#include -#include - -#include -#include -//#include - -//#include "gudhi/graph_simplicial_complex.h" -#include "gudhi/Relaxed_witness_complex.h" -#include "gudhi/reader_utils.h" -#include "gudhi/Collapse/Collapse.h" -//#include - -//#include -#include -#include -#include -#include -#include -#include -#include -#include - -#include -#include -#include -#include -#include - - -#include -#include -#include -#include - -using namespace Gudhi; -//using namespace boost::filesystem; - -typedef CGAL::Epick_d K; -typedef K::FT FT; -typedef K::Point_d Point_d; -typedef CGAL::Search_traits< - FT, Point_d, - typename K::Cartesian_const_iterator_d, - typename K::Construct_cartesian_const_iterator_d> Traits_base; -typedef CGAL::Euclidean_distance Euclidean_distance; - -typedef std::vector< Vertex_handle > typeVectorVertex; - -//typedef std::pair typeSimplex; -//typedef std::pair< Simplex_tree<>::Simplex_handle, bool > typePairSimplexBool; - -typedef CGAL::Search_traits_adapter< - std::ptrdiff_t, Point_d*, Traits_base> STraits; -//typedef K TreeTraits; -//typedef CGAL::Distance_adapter Euclidean_adapter; -//typedef CGAL::Kd_tree Kd_tree; -typedef CGAL::Orthogonal_incremental_neighbor_search> Neighbor_search; -typedef Neighbor_search::Tree Tree; -typedef Neighbor_search::Distance Distance; -typedef Neighbor_search::iterator KNS_iterator; -typedef Neighbor_search::iterator KNS_range; -typedef boost::container::flat_map Point_etiquette_map; -typedef CGAL::Kd_tree Tree2; - -typedef CGAL::Fuzzy_sphere Fuzzy_sphere; - -typedef std::vector Point_Vector; - -//typedef K::Equal_d Equal_d; -typedef CGAL::Random_points_in_cube_d Random_cube_iterator; -typedef CGAL::Random_points_in_ball_d Random_point_iterator; - -bool toric=false; - -/** - * \brief Customized version of read_points - * which takes into account a possible nbP first line - * - */ -inline void -read_points_cust ( std::string file_name , Point_Vector & points) -{ - std::ifstream in_file (file_name.c_str(),std::ios::in); - if(!in_file.is_open()) - { - std::cerr << "Unable to open file " << file_name << std::endl; - return; - } - std::string line; - double x; - while( getline ( in_file , line ) ) - { - std::vector< double > point; - std::istringstream iss( line ); - while(iss >> x) { point.push_back(x); } - Point_d p(point.begin(), point.end()); - if (point.size() != 1) - points.push_back(p); - } - in_file.close(); -} - - -void generate_points_sphere(Point_Vector& W, int nbP, int dim) -{ - CGAL::Random_points_on_sphere_d rp(dim,1); - for (int i = 0; i < nbP; i++) - W.push_back(*rp++); -} - - -void write_wl( std::string file_name, std::vector< std::vector > & WL) -{ - std::ofstream ofs (file_name, std::ofstream::out); - for (auto w : WL) - { - for (auto l: w) - ofs << l << " "; - ofs << "\n"; - } - ofs.close(); -} - -void write_rl( std::string file_name, std::vector< std::vector ::iterator> > & rl) -{ - std::ofstream ofs (file_name, std::ofstream::out); - for (auto w : rl) - { - for (auto l: w) - ofs << *l << " "; - ofs << "\n"; - } - ofs.close(); -} - -std::vector convert_to_torus(std::vector< Point_d>& points) -{ - std::vector< Point_d > points_torus; - for (auto p: points) - { - FT theta = M_PI*p[0]; - FT phi = M_PI*p[1]; - std::vector p_torus; - p_torus.push_back((1+0.2*cos(theta))*cos(phi)); - p_torus.push_back((1+0.2*cos(theta))*sin(phi)); - p_torus.push_back(0.2*sin(theta)); - points_torus.push_back(Point_d(p_torus)); - } - return points_torus; -} - - -void write_points_torus( std::string file_name, std::vector< Point_d > & points) -{ - std::ofstream ofs (file_name, std::ofstream::out); - std::vector points_torus = convert_to_torus(points); - for (auto w : points_torus) - { - for (auto it = w.cartesian_begin(); it != w.cartesian_end(); ++it) - ofs << *it << " "; - ofs << "\n"; - } - ofs.close(); -} - - -void write_points( std::string file_name, std::vector< Point_d > & points) -{ - if (toric) write_points_torus(file_name, points); - else - { - std::ofstream ofs (file_name, std::ofstream::out); - for (auto w : points) - { - for (auto it = w.cartesian_begin(); it != w.cartesian_end(); ++it) - ofs << *it << " "; - ofs << "\n"; - } - ofs.close(); - } -} - - -void write_edges_torus(std::string file_name, Witness_complex<>& witness_complex, Point_Vector& landmarks) -{ - std::ofstream ofs (file_name, std::ofstream::out); - Point_Vector l_torus = convert_to_torus(landmarks); - for (auto u: witness_complex.complex_vertex_range()) - for (auto v: witness_complex.complex_vertex_range()) - { - typeVectorVertex edge = {u,v}; - if (u < v && witness_complex.find(edge) != witness_complex.null_simplex()) - { - for (auto it = l_torus[u].cartesian_begin(); it != l_torus[u].cartesian_end(); ++it) - ofs << *it << " "; - ofs << "\n"; - for (auto it = l_torus[v].cartesian_begin(); it != l_torus[v].cartesian_end(); ++it) - ofs << *it << " "; - ofs << "\n\n\n"; - } - } - ofs.close(); -} - -void write_edges(std::string file_name, Witness_complex<>& witness_complex, Point_Vector& landmarks) -{ - std::ofstream ofs (file_name, std::ofstream::out); - if (toric) write_edges_torus(file_name, witness_complex, landmarks); - else - { - for (auto u: witness_complex.complex_vertex_range()) - for (auto v: witness_complex.complex_vertex_range()) - { - typeVectorVertex edge = {u,v}; - if (u < v && witness_complex.find(edge) != witness_complex.null_simplex()) - { - for (auto it = landmarks[u].cartesian_begin(); it != landmarks[u].cartesian_end(); ++it) - ofs << *it << " "; - ofs << "\n"; - for (auto it = landmarks[v].cartesian_begin(); it != landmarks[v].cartesian_end(); ++it) - ofs << *it << " "; - ofs << "\n\n\n"; - } - } - ofs.close(); - } -} - - -/** Function that chooses landmarks from W and place it in the kd-tree L. - * Note: nbL hould be removed if the code moves to Witness_complex - */ -void landmark_choice(Point_Vector &W, int nbP, int nbL, Point_Vector& landmarks, std::vector& landmarks_ind) -{ - std::cout << "Enter landmark choice to kd tree\n"; - //std::vector landmarks; - int chosen_landmark; - //std::pair res = std::make_pair(L_i.begin(),false); - Point_d* p; - CGAL::Random rand; - for (int i = 0; i < nbL; i++) - { - // while (!res.second) - // { - do chosen_landmark = rand.get_int(0,nbP); - while (std::find(landmarks_ind.begin(), landmarks_ind.end(), chosen_landmark) != landmarks_ind.end()); - //rand++; - //std::cout << "Chose " << chosen_landmark << std::endl; - p = &W[chosen_landmark]; - //L_i.emplace(chosen_landmark,i); - // } - landmarks.push_back(*p); - landmarks_ind.push_back(chosen_landmark); - //std::cout << "Added landmark " << chosen_landmark << std::endl; - } - } - - -void landmarks_to_witness_complex(Point_Vector &W, Point_Vector& landmarks, std::vector& landmarks_ind, FT alpha) -{ - //********************Preface: origin point - unsigned D = W[0].size(); - std::vector orig_vector; - for (unsigned i = 0; i < D; i++) - orig_vector.push_back(0); - Point_d origin(orig_vector); - //Distance dist; - //dist.transformed_distance(0,1); - //******************** Constructing a WL matrix - int nbP = W.size(); - int nbL = landmarks.size(); - STraits traits(&(landmarks[0])); - Euclidean_distance ed; - std::vector< std::vector > WL(nbP); - std::vector< std::vector< typename std::vector::iterator > > ope_limits(nbP); - Tree L(boost::counting_iterator(0), - boost::counting_iterator(nbL), - typename Tree::Splitter(), - traits); - - std::cout << "Enter (D+1) nearest landmarks\n"; - //std::cout << "Size of the tree is " << L.size() << std::endl; - for (int i = 0; i < nbP; i++) - { - //std::cout << "Entered witness number " << i << std::endl; - Point_d& w = W[i]; - std::queue< typename std::vector::iterator > ope_queue; // queue of points at (1+epsilon) distance to current landmark - Neighbor_search search(L, w, FT(0), true, CGAL::Distance_adapter(&(landmarks[0]))); - Neighbor_search::iterator search_it = search.begin(); - - //Incremental search and filling WL - while (WL[i].size() < D) - WL[i].push_back((search_it++)->first); - FT dtow = ed.transformed_distance(w, landmarks[WL[i][D-1]]); - while (search_it->second < dtow + alpha) - WL[i].push_back((search_it++)->first); - - //Filling the (1+epsilon)-limits table - for (std::vector::iterator wl_it = WL[i].begin(); wl_it != WL[i].end(); ++wl_it) - { - ope_queue.push(wl_it); - FT d_to_curr_l = ed.transformed_distance(w, landmarks[*wl_it]); - //std::cout << "d_to_curr_l=" << d_to_curr_l << std::endl; - //std::cout << "d_to_front+alpha=" << d_to_curr_l << std::endl; - while (d_to_curr_l > alpha + ed.transformed_distance(w, landmarks[*(ope_queue.front())])) - { - ope_limits[i].push_back(wl_it); - ope_queue.pop(); - } - } - while (ope_queue.size() > 0) - { - ope_limits[i].push_back(WL[i].end()); - ope_queue.pop(); - } - //std::cout << "Safely constructed a point\n"; - ////Search D+1 nearest neighbours from the tree of landmarks L - /* - if (w[0]>0.95) - std::cout << i << std::endl; - */ - //K_neighbor_search search(L, w, D, FT(0), true, - // CGAL::Distance_adapter(&(landmarks[0])) ); - //std::cout << "Safely found nearest landmarks\n"; - /* - for(K_neighbor_search::iterator it = search.begin(); it != search.end(); ++it) - { - //std::cout << "Entered KNN_it with point at distance " << it->second << "\n"; - //Point_etiquette_map::iterator itm = L_i.find(it->first); - //assert(itm != L_i.end()); - //std::cout << "Entered KNN_it with point at distance " << it->second << "\n"; - WL[i].push_back(it->first); - //std::cout << "ITFIRST " << it->first << std::endl; - //std::cout << i << " " << it->first << ": " << it->second << std::endl; - } - */ - } - //std::cout << "\n"; - - //std::string out_file = "wl_result"; - write_wl("wl_result",WL); - write_rl("rl_result",ope_limits); - - //******************** Constructng a witness complex - std::cout << "Entered witness complex construction\n"; - Witness_complex<> witnessComplex; - witnessComplex.setNbL(nbL); - witnessComplex.relaxed_witness_complex(WL, ope_limits); - char buffer[100]; - int i = sprintf(buffer,"stree_result.txt"); - - if (i >= 0) - { - std::string out_file = (std::string)buffer; - std::ofstream ofs (out_file, std::ofstream::out); - witnessComplex.st_to_file(ofs); - ofs.close(); - } - write_edges("landmarks/edges", witnessComplex, landmarks); - std::cout << Distance().transformed_distance(Point_d(std::vector({0.1,0.1})), Point_d(std::vector({1.9,1.9}))) << std::endl; -} - - -int main (int argc, char * const argv[]) -{ - - if (argc != 5) - { - std::cerr << "Usage: " << argv[0] - << " nbP nbL dim alpha\n"; - return 0; - } - /* - boost::filesystem::path p; - for (; argc > 2; --argc, ++argv) - p /= argv[1]; - */ - - int nbP = atoi(argv[1]); - int nbL = atoi(argv[2]); - int dim = atoi(argv[3]); - double alpha = atof(argv[4]); - //clock_t start, end; - //Construct the Simplex Tree - Witness_complex<> witnessComplex; - - std::cout << "Let the carnage begin!\n"; - Point_Vector point_vector; - //read_points_cust(file_name, point_vector); - generate_points_sphere(point_vector, nbP, dim); - /* - for (auto &p: point_vector) - { - assert(std::count(point_vector.begin(),point_vector.end(),p) == 1); - } - */ - //std::cout << "Successfully read the points\n"; - //witnessComplex.setNbL(nbL); - Point_Vector L; - std::vector chosen_landmarks; - landmark_choice(point_vector, nbP, nbL, L, chosen_landmarks); - //start = clock(); - - write_points("landmarks/initial_pointset",point_vector); - write_points("landmarks/initial_landmarks",L); - - landmarks_to_witness_complex(point_vector, L, chosen_landmarks, alpha); - //end = clock(); - - /* - std::cout << "Landmark choice took " - << (double)(end-start)/CLOCKS_PER_SEC << " s. \n"; - start = clock(); - witnessComplex.witness_complex(WL); - // - end = clock(); - std::cout << "Howdy world! The process took " - << (double)(end-start)/CLOCKS_PER_SEC << " s. \n"; - */ - - /* - out_file = "output/"+file_name+"_"+argv[2]+".stree"; - std::ofstream ofs (out_file, std::ofstream::out); - witnessComplex.st_to_file(ofs); - ofs.close(); - - out_file = "output/"+file_name+"_"+argv[2]+".badlinks"; - std::ofstream ofs2(out_file, std::ofstream::out); - witnessComplex.write_bad_links(ofs2); - ofs2.close(); - */ -} diff --git a/src/Witness_complex/example/relaxed_witness_persistence.cpp b/src/Witness_complex/example/relaxed_witness_persistence.cpp deleted file mode 100644 index b4837594..00000000 --- a/src/Witness_complex/example/relaxed_witness_persistence.cpp +++ /dev/null @@ -1,267 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2016 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#include -#include -#include -#include -#include -#include "Landmark_choice_random_knn.h" -#include "Landmark_choice_sparsification.h" - -#include -#include -#include -#include -#include -#include -#include -#include -#include - -#include -#include -#include -#include - -#include "generators.h" -#include "output.h" - -using namespace Gudhi; -using namespace Gudhi::witness_complex; -using namespace Gudhi::persistent_cohomology; - -typedef std::vector Point_Vector; -typedef Relaxed_witness_complex< Simplex_tree<> > RelaxedWitnessComplex; -typedef Simplex_tree<>::Simplex_handle Simplex_handle; - -/** - * \brief Customized version of read_points - * which takes into account a possible nbP first line - * - */ -inline void -read_points_cust(std::string file_name, std::vector< std::vector< double > > & points) { - std::ifstream in_file(file_name.c_str(), std::ios::in); - if (!in_file.is_open()) { - std::cerr << "Unable to open file " << file_name << std::endl; - return; - } - std::string line; - double x; - while (getline(in_file, line)) { - std::vector< double > point; - std::istringstream iss(line); - while (iss >> x) { - point.push_back(x); - } - if (point.size() != 1) - points.push_back(point); - } - in_file.close(); -} - -void output_experiment_information(char * const file_name) -{ - std::cout << "Enter a valid experiment number. Usage: " - << file_name << " exp_no options\n"; - std::cout << "Experiment description:\n" - << "0 nbP nbL dim alpha limD mu_epsilon: " - << "Build persistence diagram on relaxed witness complex " - << "built from a point cloud on (dim-1)-dimensional sphere " - << "consisting of nbP witnesses and nbL landmarks. " - << "The maximal relaxation is alpha and the limit on simplicial complex " - << "dimension is limD.\n"; - std::cout << "1 file_name nbL alpha limD: " - << "Build persistence diagram on relaxed witness complex " - << "build from a point cloud stored in a file and nbL landmarks. " - << "The maximal relaxation is alpha and the limit on simplicial complex dimension is limD\n"; -} - -void rw_experiment(Point_Vector & point_vector, int nbL, FT alpha, int limD, FT mu_epsilon = 0.1) -{ - clock_t start, end; - Simplex_tree<> simplex_tree; - - // Choose landmarks - std::vector > knn; - std::vector > distances; - start = clock(); - //Gudhi::witness_complex::landmark_choice_by_random_knn(point_vector, nbL, alpha, limD, knn, distances); - std::vector landmarks; - Gudhi::witness_complex::landmark_choice_by_sparsification(point_vector, nbL, mu_epsilon, landmarks); - Gudhi::witness_complex::build_distance_matrix(point_vector, // aka witnesses - landmarks, // aka landmarks - alpha, - limD, - knn, - distances); - end = clock(); - double time = static_cast(end - start) / CLOCKS_PER_SEC; - std::cout << "Choice of " << nbL << " landmarks took " - << time << " s. \n"; - // Compute witness complex - start = clock(); - RelaxedWitnessComplex rw(distances, - knn, - simplex_tree, - nbL, - alpha, - limD); - end = clock(); - time = static_cast(end - start) / CLOCKS_PER_SEC; - std::cout << "Relaxed witness complex for " << nbL << " landmarks took " - << time << " s. \n"; - std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; - // std::cout << simplex_tree << "\n"; - - // Compute the persistence diagram of the complex - simplex_tree.set_dimension(limD); - persistent_cohomology::Persistent_cohomology< Simplex_tree<>, Field_Zp > pcoh(simplex_tree, true); - int p = 3; - pcoh.init_coefficients( p ); //initilizes the coefficient field for homology - start = clock(); - pcoh.compute_persistent_cohomology( alpha/1000 ); - end = clock(); - time = static_cast(end - start) / CLOCKS_PER_SEC; - std::cout << "Persistence diagram took " - << time << " s. \n"; - pcoh.output_diagram(); - - int chi = 0; - for (auto sh: simplex_tree.complex_simplex_range()) - chi += 1-2*(simplex_tree.dimension(sh)%2); - std::cout << "Euler characteristic is " << chi << std::endl; - -} - - -int experiment0 (int argc, char * const argv[]) -{ - if (argc != 8) { - std::cerr << "Usage: " << argv[0] - << " 0 nbP nbL dim alpha limD mu_epsilon\n"; - return 0; - } - /* - boost::filesystem::path p; - for (; argc > 2; --argc, ++argv) - p /= argv[1]; - */ - - int nbP = atoi(argv[2]); - int nbL = atoi(argv[3]); - int dim = atoi(argv[4]); - double alpha = atof(argv[5]); - int limD = atoi(argv[6]); - double mu_epsilon = atof(argv[7]); - - // Read the point file - Point_Vector point_vector; - generate_points_sphere(point_vector, nbP, dim); - std::cout << "Successfully generated " << point_vector.size() << " points.\n"; - std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; - - rw_experiment(point_vector, nbL, alpha, limD); -} - -int experiment1 (int argc, char * const argv[]) -{ - if (argc != 3) { - std::cerr << "Usage: " << argv[0] - << " 1 file_name\n"; - return 0; - } - /* - boost::filesystem::path p; - for (; argc > 2; --argc, ++argv) - p /= argv[1]; - */ - - std::string file_name = argv[2]; - - // Read the point file - Point_Vector point_vector; - read_points_cust(file_name, point_vector); - std::cout << "The file contains " << point_vector.size() << " points.\n"; - std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; - - bool ok = false; - int nbL, limD; - double alpha; - while (!ok) { - std::cout << "Relaxed witness complex: parameters nbL, alpha, limD.\n"; - std::cout << "Enter nbL: "; - std::cin >> nbL; - std::cout << "Enter alpha: "; - std::cin >> alpha; - std::cout << "Enter limD: "; - std::cin >> limD; - std::cout << "Start relaxed witness complex...\n"; - rw_experiment(point_vector, nbL, alpha, limD); - std::cout << "Is the result correct? [y/n]: "; - char answer; - std::cin >> answer; - switch (answer) { - case 'n': - ok = false; break; - default : - ok = true; break; - } - } - // ok = false; - // while (!ok) { - // std::cout << "Rips complex: parameters threshold, limD.\n"; - // std::cout << "Enter threshold: "; - // std::cin >> alpha; - // std::cout << "Enter limD: "; - // std::cin >> limD; - // std::cout << "Start Rips complex...\n"; - // rips_experiment(point_vector, alpha, limD); - // std::cout << "Is the result correct? [y/n]: "; - // char answer; - // std::cin >> answer; - // switch (answer) { - // case 'n': - // ok = false; break; - // default : - // ok = true; break; - // } - // } -} - -int main (int argc, char * const argv[]) -{ - if (argc == 1) { - output_experiment_information(argv[0]); - return 1; - } - switch (atoi(argv[1])) { - case 0 : - return experiment0(argc, argv); - case 1 : - return experiment1(argc, argv); - default : - output_experiment_information(argv[0]); - return 1; - } -} diff --git a/src/Witness_complex/example/strange_sphere.cpp b/src/Witness_complex/example/strange_sphere.cpp deleted file mode 100644 index 9188bd8e..00000000 --- a/src/Witness_complex/example/strange_sphere.cpp +++ /dev/null @@ -1,219 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ -#define BOOST_PARAMETER_MAX_ARITY 12 - - -#include -#include - -#include -#include -#include -#include -#include "output.h" - -#include -#include -#include -#include -#include -#include - -#include -#include -#include -#include -#include -#include -#include -#include - -#include -#include -#include -#include -#include - - -#include -#include -#include -#include - - -#include "generators.h" - -using namespace Gudhi; -using namespace Gudhi::witness_complex; - -typedef std::vector< Vertex_handle > typeVectorVertex; -typedef Strange_witness_complex< Simplex_tree<> > WitnessComplex; - -typedef CGAL::Epick_d K; -typedef K::FT FT; -typedef K::Point_d Point_d; -typedef CGAL::Search_traits< - FT, Point_d, - typename K::Cartesian_const_iterator_d, - typename K::Construct_cartesian_const_iterator_d> Traits_base; -typedef CGAL::Euclidean_distance Euclidean_distance; - -typedef CGAL::Search_traits_adapter< - std::ptrdiff_t, Point_d*, Traits_base> STraits; -typedef CGAL::Orthogonal_incremental_neighbor_search> Neighbor_search; -typedef Neighbor_search::Tree Tree; -typedef Neighbor_search::Distance Distance; -typedef Neighbor_search::iterator KNS_iterator; -typedef Neighbor_search::iterator KNS_range; -typedef boost::container::flat_map Point_etiquette_map; -typedef CGAL::Kd_tree Tree2; -typedef CGAL::Fuzzy_sphere Fuzzy_sphere; -typedef std::vector Point_Vector; - -/** Function that chooses landmarks from W and place it in the kd-tree L. - * Note: nbL hould be removed if the code moves to Witness_complex - */ -void landmark_choice(Point_Vector &W, int nbP, int nbL, Point_Vector& landmarks, std::vector& landmarks_ind) -{ - std::cout << "Enter landmark choice to kd tree\n"; - //std::vector landmarks; - int chosen_landmark; - //std::pair res = std::make_pair(L_i.begin(),false); - Point_d* p; - CGAL::Random rand; - for (int i = 0; i < nbL; i++) - { - // while (!res.second) - // { - do chosen_landmark = rand.get_int(0,nbP); - while (std::find(landmarks_ind.begin(), landmarks_ind.end(), chosen_landmark) != landmarks_ind.end()); - //rand++; - //std::cout << "Chose " << chosen_landmark << std::endl; - p = &W[chosen_landmark]; - //L_i.emplace(chosen_landmark,i); - // } - landmarks.push_back(*p); - landmarks_ind.push_back(chosen_landmark); - //std::cout << "Added landmark " << chosen_landmark << std::endl; - } - } - -void landmarks_to_witness_complex(Point_Vector &W, int nbL) -{ - //********************Preface: origin point - unsigned D = W[0].size(); - std::vector orig_vector; - for (unsigned i = 0; i < D; i++) - orig_vector.push_back(0); - Point_d origin(orig_vector); - //Distance dist; - //dist.transformed_distance(0,1); - //******************** Constructing a WL matrix - int nbP = W.size(); - Point_Vector landmarks; - std::vector landmarks_ind; - landmark_choice(W, nbP, nbL, landmarks, landmarks_ind); - - - STraits traits(&(landmarks[0])); - Euclidean_distance ed; - std::vector< std::vector > WL(nbP); - std::vector< std::vector< typename std::vector::iterator > > ope_limits(nbP); - Tree L(boost::counting_iterator(0), - boost::counting_iterator(nbL), - typename Tree::Splitter(), - traits); - - std::cout << "Enter (D+1) nearest landmarks\n"; - //std::cout << "Size of the tree is " << L.size() << std::endl; - for (int i = 0; i < nbP; i++) { - //std::cout << "Entered witness number " << i << std::endl; - Point_d& w = W[i]; - std::queue< typename std::vector::iterator > ope_queue; // queue of points at (1+epsilon) distance to current landmark - Neighbor_search search(L, w, FT(0), true, CGAL::Distance_adapter(&(landmarks[0]))); - Neighbor_search::iterator search_it = search.begin(); - - //Incremental search and filling WL - while (WL[i].size() < D) - WL[i].push_back((search_it++)->first); - } - write_wl("WL.txt", WL); //! - //******************** Constructng a witness complex - std::cout << "Entered witness complex construction\n"; - - Simplex_tree<> simplex_tree; - WitnessComplex(WL, simplex_tree, nbL, W[0].size()-1); - //std::cout << simplex_tree << "\n"; //! - write_witness_mesh(W, landmarks_ind, simplex_tree, false, true); -} - - - -/** Write a gnuplot readable file. - * Data range is a random access range of pairs (arg, value) - */ -template < typename Data_range > -void write_data(Data_range & data, std::string filename) { - std::ofstream ofs(filename, std::ofstream::out); - for (auto entry : data) - ofs << entry.first << ", " << entry.second << "\n"; - ofs.close(); -} - - - -int main(int argc, char * const argv[]) { - if (argc != 4) { - std::cerr << "Usage: " << argv[0] - << " nbP nbL dim\n"; - return 0; - } - - int nbP = atoi(argv[1]); - int nbL = atoi(argv[2]); - int dim = atoi(argv[3]); - clock_t start, end; - - // Construct the Simplex Tree - Simplex_tree<> simplex_tree; - - std::vector< std::pair > l_time; - - // Read the point file - Point_Vector point_vector; - generate_points_sphere(point_vector, nbP, dim); - std::cout << "Successfully generated " << point_vector.size() << " points.\n"; - std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; - - // Choose landmarks - start = clock(); - std::vector > knn; - - landmarks_to_witness_complex(point_vector, nbL); - - end = clock(); - double time = static_cast(end - start) / CLOCKS_PER_SEC; - std::cout << "Witness complex for " << nbL << " landmarks took " - << time << " s. \n"; - l_time.push_back(std::make_pair(nbP, time)); - //write_data(l_time, "w_time.dat"); -} diff --git a/src/Witness_complex/example/witness_complex_from_file.cpp b/src/Witness_complex/example/witness_complex_from_file.cpp index 5e9f0e81..e5859b2a 100644 --- a/src/Witness_complex/example/witness_complex_from_file.cpp +++ b/src/Witness_complex/example/witness_complex_from_file.cpp @@ -25,18 +25,22 @@ #include #include -#include #include #include +#include + #include #include #include #include #include +typedef CGAL::Epick_d K; +typedef typename K::Point_d Point_d; +typedef typename Gudhi::witness_complex::Witness_complex Witness_complex; typedef std::vector< Vertex_handle > typeVectorVertex; -typedef std::vector< std::vector > Point_Vector; +typedef std::vector< Point_d > Point_vector; /** * \brief Customized version of read_points @@ -44,7 +48,7 @@ typedef std::vector< std::vector > Point_Vector; * */ inline void -read_points_cust(std::string file_name, std::vector< std::vector< double > > & points) { +read_points_cust(std::string file_name, Point_vector & points) { std::ifstream in_file(file_name.c_str(), std::ios::in); if (!in_file.is_open()) { std::cerr << "Unable to open file " << file_name << std::endl; @@ -59,44 +63,44 @@ read_points_cust(std::string file_name, std::vector< std::vector< double > > & p point.push_back(x); } if (point.size() != 1) - points.push_back(point); + points.push_back(Point_d(point)); } in_file.close(); } int main(int argc, char * const argv[]) { - if (argc != 3) { + if (argc != 4) { std::cerr << "Usage: " << argv[0] - << " path_to_point_file nbL \n"; + << " path_to_point_file nbL alpha^2\n"; return 0; } std::string file_name = argv[1]; int nbL = atoi(argv[2]); + double alpha2 = atof(argv[3]); clock_t start, end; // Construct the Simplex Tree Gudhi::Simplex_tree<> simplex_tree; // Read the point file - Point_Vector point_vector, landmarks; + Point_vector point_vector, landmarks; read_points_cust(file_name, point_vector); std::cout << "Successfully read " << point_vector.size() << " points.\n"; - std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; + std::cout << "Ambient dimension is " << point_vector[0].dimension() << ".\n"; // Choose landmarks - start = clock(); - std::vector > knn; - Gudhi::subsampling::pick_n_random_points(point_vector, 100, std::back_inserter(landmarks)); - Gudhi::witness_complex::construct_closest_landmark_table(point_vector, landmarks, knn); - end = clock(); - std::cout << "Landmark choice for " << nbL << " landmarks took " - << static_cast(end - start) / CLOCKS_PER_SEC << " s. \n"; + Gudhi::subsampling::pick_n_random_points(point_vector, nbL, std::back_inserter(landmarks)); // Compute witness complex start = clock(); - Gudhi::witness_complex::witness_complex(knn, nbL, point_vector[0].size(), simplex_tree); + Witness_complex witness_complex(landmarks.begin(), + landmarks.end(), + point_vector.begin(), + point_vector.end()); + witness_complex.create_complex(simplex_tree, alpha2); end = clock(); std::cout << "Witness complex took " << static_cast(end - start) / CLOCKS_PER_SEC << " s. \n"; + std::cout << "Number of simplices is: " << simplex_tree.num_simplices() << "\n"; } diff --git a/src/Witness_complex/include/gudhi/A0_complex.h b/src/Witness_complex/include/gudhi/A0_complex.h deleted file mode 100644 index 2018e1c8..00000000 --- a/src/Witness_complex/include/gudhi/A0_complex.h +++ /dev/null @@ -1,337 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#ifndef A0_COMPLEX_H_ -#define A0_COMPLEX_H_ - -#include -#include -#include -#include -#include "gudhi/reader_utils.h" -#include "gudhi/distance_functions.h" -#include "gudhi/Simplex_tree.h" -#include -#include -#include -#include -#include -#include -#include -#include - -// Needed for nearest neighbours -#include -#include -#include -#include -#include -#include - -#include -#include -#include -#include - -// Needed for the adjacency graph in bad link search -#include -#include -#include - -namespace Gudhi { - -namespace witness_complex { - - /** \addtogroup simplex_tree - * Witness complex is a simplicial complex defined on two sets of points in \f$\mathbf{R}^D\f$: - * \f$W\f$ set of witnesses and \f$L \subseteq W\f$ set of landmarks. The simplices are based on points in \f$L\f$ - * and a simplex belongs to the witness complex if and only if it is witnessed (there exists a point \f$w \in W\f$ such that - * w is closer to the vertices of this simplex than others) and all of its faces are witnessed as well. - */ -template< class Simplicial_complex > -class A0_complex { - -private: - struct Active_witness { - int witness_id; - int landmark_id; - - Active_witness(int witness_id_, int landmark_id_) - : witness_id(witness_id_), - landmark_id(landmark_id_) { } - }; - -private: - typedef typename Simplicial_complex::Simplex_handle Simplex_handle; - typedef typename Simplicial_complex::Vertex_handle Vertex_handle; - typedef typename Simplicial_complex::Filtration_value FT; - - typedef std::vector< double > Point_t; - typedef std::vector< Point_t > Point_Vector; - - // typedef typename Simplicial_complex::Filtration_value Filtration_value; - typedef std::vector< Vertex_handle > typeVectorVertex; - typedef std::pair< typeVectorVertex, Filtration_value> typeSimplex; - typedef std::pair< Simplex_handle, bool > typePairSimplexBool; - - typedef int Witness_id; - typedef int Landmark_id; - typedef std::list< Vertex_handle > ActiveWitnessList; - - private: - int nbL; // Number of landmarks - Simplicial_complex& sc; // Simplicial complex - - public: - /** @name Constructor - */ - - //@{ - - /** - * \brief Iterative construction of the relaxed witness complex. - * \details The witness complex is written in sc_ basing on a matrix knn - * of k nearest neighbours of the form {witnesses}x{landmarks} and - * and a matrix distances of distances to these landmarks from witnesses. - * The parameter alpha defines relaxation and - * limD defines the - * - * The line lengths in one given matrix can differ, - * however both matrices have the same corresponding line lengths. - * - * The type KNearestNeighbors can be seen as - * Witness_range>, where - * Witness_range and Closest_landmark_range are random access ranges. - * - * Constructor takes into account at most (dim+1) - * first landmarks from each landmark range to construct simplices. - * - * Landmarks are supposed to be in [0,nbL_-1] - */ - - template< typename KNearestNeighbours > - A0_complex(std::vector< std::vector > const & distances, - KNearestNeighbours const & knn, - Simplicial_complex & sc_, - int nbL_, - double alpha2, - unsigned limD) : nbL(nbL_), sc(sc_) { - int nbW = knn.size(); - typeVectorVertex vv; - //int counter = 0; - /* The list of still useful witnesses - * it will diminuish in the course of iterations - */ - ActiveWitnessList active_w;// = new ActiveWitnessList(); - for (int i = 0; i != nbL; ++i) { - // initial fill of 0-dimensional simplices - // by doing it we don't assume that landmarks are necessarily witnesses themselves anymore - //counter++; - vv = {i}; - sc.insert_simplex(vv, Filtration_value(0.0)); - /* TODO Error if not inserted : normally no need here though*/ - } - for (int i=0; i != nbW; ++i) { - // int i_end = limD+1; - // if (knn[i].size() < limD+1) - // i_end = knn[i].size(); - // double dist_wL = *(distances[i].begin()); - // while (distances[i][i_end] > dist_wL + alpha2) - // i_end--; - // add_all_witnessed_faces(distances[i].begin(), - // knn[i].begin(), - // knn[i].begin() + i_end + 1); - unsigned j_end = 0; - while (j_end < distances[i].size() && j_end <= limD && distances[i][j_end] <= distances[i][0] + alpha2) { - std::vector simplex; - for (unsigned j = 0; j <= j_end; ++j) - simplex.push_back(knn[i][j]); - assert(distances[i][j_end] - distances[i][0] >= 0); - sc.insert_simplex_and_subfaces(simplex, distances[i][j_end] - distances[i][0]); - j_end++; - } - } - sc.set_dimension(limD); - } - - //@} - -private: - /* \brief Adds recursively all the faces of a certain dimension dim witnessed by the same witness - * Iterator is needed to know until how far we can take landmarks to form simplexes - * simplex is the prefix of the simplexes to insert - * The output value indicates if the witness rests active or not - */ - void add_all_witnessed_faces(std::vector::const_iterator curr_d, - std::vector::const_iterator curr_l, - std::vector::const_iterator end) - { - std::vector simplex; - std::vector::const_iterator l_end = curr_l; - for (; l_end != end; ++l_end) { - std::vector::const_iterator l_it = curr_l; - std::vector::const_iterator d_it = curr_d; - simplex = {}; - for (; l_it != l_end; ++l_it, ++d_it) - simplex.push_back(*l_it); - sc.insert_simplex_and_subfaces(simplex, *(d_it--) - *curr_d); - } - } - - /** \brief Check if the facets of the k-dimensional simplex witnessed - * by witness witness_id are already in the complex. - * inserted_vertex is the handle of the (k+1)-th vertex witnessed by witness_id - */ - bool all_faces_in(std::vector& simplex, double* filtration_value) - { - std::vector< int > facet; - for (std::vector::iterator not_it = simplex.begin(); not_it != simplex.end(); ++not_it) - { - facet.clear(); - for (std::vector::iterator it = simplex.begin(); it != simplex.end(); ++it) - if (it != not_it) - facet.push_back(*it); - Simplex_handle facet_sh = sc.find(facet); - if (facet_sh == sc.null_simplex()) - return false; - else if (sc.filtration(facet_sh) > *filtration_value) - *filtration_value = sc.filtration(facet_sh); - } - return true; - } - - bool is_face(Simplex_handle face, Simplex_handle coface) - { - // vertex range is sorted in decreasing order - auto fvr = sc.simplex_vertex_range(face); - auto cfvr = sc.simplex_vertex_range(coface); - auto fv_it = fvr.begin(); - auto cfv_it = cfvr.begin(); - while (fv_it != fvr.end() && cfv_it != cfvr.end()) { - if (*fv_it < *cfv_it) - ++cfv_it; - else if (*fv_it == *cfv_it) { - ++cfv_it; - ++fv_it; - } - else - return false; - - } - return (fv_it == fvr.end()); - } - - // void erase_simplex(Simplex_handle sh) - // { - // auto siblings = sc.self_siblings(sh); - // auto oncles = siblings->oncles(); - // int prev_vertex = siblings->parent(); - // siblings->members().erase(sh->first); - // if (siblings->members().empty()) { - // typename typedef Simplicial_complex::Siblings Siblings; - // oncles->members().find(prev_vertex)->second.assign_children(new Siblings(oncles, prev_vertex)); - // assert(!sc.has_children(oncles->members().find(prev_vertex))); - // //delete siblings; - // } - - // } - - void elementary_collapse(Simplex_handle face_sh, Simplex_handle coface_sh) - { - erase_simplex(coface_sh); - erase_simplex(face_sh); - } - -public: - // void collapse(std::vector& simplices) - // { - // // Get a vector of simplex handles ordered by filtration value - // std::cout << sc << std::endl; - // //std::vector simplices; - // for (Simplex_handle sh: sc.filtration_simplex_range()) - // simplices.push_back(sh); - // // std::sort(simplices.begin(), - // // simplices.end(), - // // [&](Simplex_handle sh1, Simplex_handle sh2) - // // { double f1 = sc.filtration(sh1), f2 = sc.filtration(sh2); - // // return (f1 > f2) || (f1 >= f2 && sc.dimension(sh1) > sc.dimension(sh2)); }); - // // Double iteration - // auto face_it = simplices.rbegin(); - // while (face_it != simplices.rend() && sc.filtration(*face_it) != 0) { - // int coface_count = 0; - // auto reduced_coface = simplices.rbegin(); - // for (auto coface_it = simplices.rbegin(); coface_it != simplices.rend() && sc.filtration(*coface_it) != 0; ++coface_it) - // if (face_it != coface_it && is_face(*face_it, *coface_it)) { - // coface_count++; - // if (coface_count == 1) - // reduced_coface = coface_it; - // else - // break; - // } - // if (coface_count == 1) { - // std::cout << "Erase ( "; - // for (auto v: sc.simplex_vertex_range(*(--reduced_coface.base()))) - // std::cout << v << " "; - - // simplices.erase(--(reduced_coface.base())); - // //elementary_collapse(*face_it, *reduced_coface); - // std::cout << ") and then ( "; - // for (auto v: sc.simplex_vertex_range(*(--face_it.base()))) - // std::cout << v << " "; - // std::cout << ")\n"; - // simplices.erase(--((face_it++).base())); - // //face_it = simplices.rbegin(); - // //std::cout << "Size of vector: " << simplices.size() << "\n"; - // } - // else - // face_it++; - // } - // sc.initialize_filtration(); - // //std::cout << sc << std::endl; - // } - - template - void collapse(Dim_lists& dim_lists) - { - dim_lists.collapse(); - } - -private: - - /** Collapse recursively boundary faces of the given simplex - * if its filtration is bigger than alpha_lim. - */ - void rec_boundary_collapse(Simplex_handle sh, FT alpha_lim) - { - for (Simplex_handle face_it : sc.boundary_simplex_range()) { - - } - - } - -}; //class Relaxed_witness_complex - -} // namespace witness_complex - -} // namespace Gudhi - -#endif diff --git a/src/Witness_complex/include/gudhi/Construct_closest_landmark_table.h b/src/Witness_complex/include/gudhi/Construct_closest_landmark_table.h deleted file mode 100644 index ef711c34..00000000 --- a/src/Witness_complex/include/gudhi/Construct_closest_landmark_table.h +++ /dev/null @@ -1,90 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#ifndef CONSTRUCT_CLOSEST_LANDMARK_TABLE_H_ -#define CONSTRUCT_CLOSEST_LANDMARK_TABLE_H_ - -#include - -#include // for priority_queue<> -#include // for pair<> -#include -#include -#include - -namespace Gudhi { - -namespace witness_complex { - - /** - * \ingroup witness_complex - * \brief Construct the closest landmark tables for all witnesses. - * \details Output a table 'knn', each line of which represents a witness and - * consists of landmarks sorted by - * euclidean distance from the corresponding witness. - * - * The type WitnessContainer is a random access range and - * the type LandmarkContainer is a range. - * The type KNearestNeighbors can be seen as - * Witness_range>, where - * Witness_range and Closest_landmark_range are random access ranges and - * Vertex_handle is the label type of a vertex in a simplicial complex. - * Closest_landmark_range needs to have push_back operation. - */ - - template - void construct_closest_landmark_table(WitnessContainer const &points, - LandmarkContainer const &landmarks, - KNearestNeighbours &knn) { - int nbP = boost::size(points); - assert(nbP >= boost::size(landmarks)); - - int dim = boost::size(*std::begin(points)); - typedef std::pair dist_i; - typedef bool (*comp)(dist_i, dist_i); - knn = KNearestNeighbours(nbP); - for (int points_i = 0; points_i < nbP; points_i++) { - std::priority_queue, comp> l_heap([](dist_i j1, dist_i j2) { - return j1.first > j2.first; - }); - typename LandmarkContainer::const_iterator landmarks_it; - int landmarks_i = 0; - for (landmarks_it = landmarks.begin(), landmarks_i = 0; landmarks_it != landmarks.end(); - ++landmarks_it, landmarks_i++) { - dist_i dist = std::make_pair(euclidean_distance(points[points_i], *landmarks_it), landmarks_i); - l_heap.push(dist); - } - for (int i = 0; i < dim + 1; i++) { - dist_i dist = l_heap.top(); - knn[points_i].push_back(dist.second); - l_heap.pop(); - } - } - } - -} // namespace witness_complex - -} // namespace Gudhi - -#endif // CONSTRUCT_CLOSEST_LANDMARK_TABLE_H_ diff --git a/src/Witness_complex/include/gudhi/Dim_list_iterator.h b/src/Witness_complex/include/gudhi/Dim_list_iterator.h deleted file mode 100644 index 3f23e8c9..00000000 --- a/src/Witness_complex/include/gudhi/Dim_list_iterator.h +++ /dev/null @@ -1,155 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#ifndef DIM_LISTS_ITERATOR_H_ -#define DIM_LISTS_ITERATOR_H_ - -#include -#include -#include -#include -#include "gudhi/reader_utils.h" -#include "gudhi/distance_functions.h" -#include "gudhi/Simplex_tree.h" -#include -#include -#include -#include -#include -#include -#include -#include - -#include -#include -#include -#include - -// Needed for the adjacency graph in bad link search -#include -#include -#include - -namespace Gudhi { - -namespace witness_complex { - - /** \addtogroup simplex_tree - * Witness complex is a simplicial complex defined on two sets of points in \f$\mathbf{R}^D\f$: - * \f$W\f$ set of witnesses and \f$L \subseteq W\f$ set of landmarks. The simplices are based on points in \f$L\f$ - * and a simplex belongs to the witness complex if and only if it is witnessed (there exists a point \f$w \in W\f$ such that - * w is closer to the vertices of this simplex than others) and all of its faces are witnessed as well. - */ -template< class Simplex_handle > -class Dim_lists_iterator { - -private: - - typedef typename std::list::iterator List_iterator; - typedef typename std::vector>::reverse_iterator Vector_iterator; - typedef typename Gudhi::witness_complex::Dim_lists_iterator Iterator; - - - List_iterator sh_; - Vector_iterator curr_list_; - typename std::vector>& table_; - -public: - - Dim_lists_iterator(List_iterator sh, - Vector_iterator curr_list, - typename std::vector>& table) - : sh_(sh), curr_list_(curr_list), table_(table) - { - } - - Simplex_handle operator*() - { - return *sh_; - } - - Iterator operator++() - { - increment(); - return (*this); - } - - Iterator operator++(int) - { - Iterator prev_it(sh_, curr_list_, table_); - increment(); - return prev_it; - } - - Iterator dim_begin() - { - return Iterator(curr_list_->begin(), curr_list_, table_); - } - - Iterator dim_end() - { - return Iterator(curr_list_->end(), curr_list_, table_); - } - - Iterator dimp1_begin() - { - return Iterator((curr_list_-1)->begin(), curr_list_-1, table_); - } - - Iterator dimp1_end() - { - return Iterator((curr_list_-1)->end(), curr_list_-1, table_); - } - - bool operator==(const Iterator& it2) const - { - return (sh_ == it2.sh_); - } - - bool operator!=(const Iterator& it2) const - { - return (sh_ != it2.sh_); - } - - void remove_incr() - { - - } - -private: - - void increment() - { - if (++sh_ == curr_list_->end()) - if (++curr_list_ != table_.rend()) - sh_ = curr_list_->begin(); - // The iterator of the end of the table is the end of the last list - } - - -}; //class Dim_lists_iterator - -} // namespace witness_complex - -} // namespace Gudhi - -#endif diff --git a/src/Witness_complex/include/gudhi/Dim_lists.h b/src/Witness_complex/include/gudhi/Dim_lists.h deleted file mode 100644 index 1d1b03c3..00000000 --- a/src/Witness_complex/include/gudhi/Dim_lists.h +++ /dev/null @@ -1,195 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#ifndef DIM_LISTS_H_ -#define DIM_LISTS_H_ - -#include -#include -#include -#include -#include "gudhi/reader_utils.h" -#include "gudhi/distance_functions.h" -#include -#include -#include -#include -#include -#include -#include -#include -#include - -#include -#include -#include -#include - -// Needed for the adjacency graph in bad link search -#include -#include -#include - -namespace Gudhi { - -namespace witness_complex { - - /** \addtogroup simplex_tree - * Witness complex is a simplicial complex defined on two sets of points in \f$\mathbf{R}^D\f$: - * \f$W\f$ set of witnesses and \f$L \subseteq W\f$ set of landmarks. The simplices are based on points in \f$L\f$ - * and a simplex belongs to the witness complex if and only if it is witnessed (there exists a point \f$w \in W\f$ such that - * w is closer to the vertices of this simplex than others) and all of its faces are witnessed as well. - */ -template< class Simplicial_complex > -class Dim_lists { - -private: - - typedef typename Simplicial_complex::Simplex_handle Simplex_handle; - typedef typename Gudhi::witness_complex::Dim_lists_iterator Iterator; - - std::vector> table_; - Simplicial_complex& sc_; - -public: - - Dim_lists(Simplicial_complex & sc, int dim, double alpha_max = 100) - : sc_(sc) - { - table_ = std::vector>(dim+1); - for (auto sh: sc.filtration_simplex_range()) { - if (sc_.filtration(sh) < alpha_max) - table_[sc.dimension(sh)].push_front(sh); - } - auto t_it = table_.rbegin(); - while (t_it->empty()) { - t_it++; - table_.pop_back(); - } - } - - Iterator begin() - { - return Iterator(table_.rbegin()->begin(), table_.rbegin(), table_); - } - - Iterator end() - { - return Iterator(table_[0].end(), table_.rend(), table_); - } - - unsigned size() - { - unsigned curr_size = 0; - for (auto l: table_) - curr_size += l.size(); - return curr_size; - } - - bool is_face(Simplex_handle face, Simplex_handle coface) - { - // vertex range is sorted in decreasing order - auto fvr = sc_.simplex_vertex_range(face); - auto cfvr = sc_.simplex_vertex_range(coface); - auto fv_it = fvr.begin(); - auto cfv_it = cfvr.begin(); - while (fv_it != fvr.end() && cfv_it != cfvr.end()) { - if (*fv_it < *cfv_it) - ++cfv_it; - else if (*fv_it == *cfv_it) { - ++cfv_it; - ++fv_it; - } - else - return false; - - } - return (fv_it == fvr.end()); - } - - void output_simplices() { - std::cout << "Size of vector: " << size() << std::endl; - for (auto line_it = table_.rbegin(); line_it != table_.rend(); ++line_it) - for (auto sh: *line_it) { - std::cout << sc_.dimension(sh) << " "; - for (auto v : sc_.simplex_vertex_range(sh)) - std::cout << v << " "; - std::cout << sc_.filtration(sh) << "\n"; - } - } - - void collapse() - { - auto coface_list_it = table_.rbegin(); - auto face_list_it = table_.rbegin()+1; - for ( ; - face_list_it != table_.rend(); - ++face_list_it) { - auto face_it = face_list_it->begin(); - while (face_it != face_list_it->end() && sc_.filtration(*face_it) != 0) { - int coface_count = 0; - auto reduced_coface = coface_list_it->begin(); - for (auto coface_it = coface_list_it->begin(); coface_it != coface_list_it->end() && sc_.filtration(*coface_it) != 0; ++coface_it) - if (is_face(*face_it, *coface_it)) { - coface_count++; - if (coface_count == 1) - reduced_coface = coface_it; - else - break; - } - if (coface_count == 1) { - /* - std::cout << "Erase ( "; - for (auto v: sc_.simplex_vertex_range(*reduced_coface)) - std::cout << v << " "; - */ - coface_list_it->erase(reduced_coface); - /* - std::cout << ") and then ( "; - for (auto v: sc_.simplex_vertex_range(*face_it)) - std::cout << v << " "; - std::cout << ")\n"; - */ - face_list_it->erase(face_it); - face_it = face_list_it->begin(); - } - else - face_it++; - } - if ((coface_list_it++)->empty()) - table_.pop_back(); - } - } - - bool is_pseudomanifold() - { - - return true; - } - -}; //class Dim_lists - -} // namespace witness_complex - -} // namespace Gudhi - -#endif diff --git a/src/Witness_complex/include/gudhi/Good_links.h b/src/Witness_complex/include/gudhi/Good_links.h deleted file mode 100644 index c5e993e5..00000000 --- a/src/Witness_complex/include/gudhi/Good_links.h +++ /dev/null @@ -1,449 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#ifndef GOOD_LINKS_H_ -#define GOOD_LINKS_H_ - -#include -#include -#include -#include -#include "gudhi/reader_utils.h" -#include "gudhi/distance_functions.h" -#include -#include -#include -#include -#include -#include -#include -#include -#include - -#include -#include -#include -#include - -// Needed for the adjacency graph in bad link search -#include -#include -#include - -namespace Gudhi { - -template < typename Simplicial_complex > -class Good_links { - - typedef typename Simplicial_complex::Simplex_handle Simplex_handle; - typedef typename Simplicial_complex::Vertex_handle Vertex_handle; - typedef std::vector Vertex_vector; - - // graph is an adjacency list - typedef typename boost::adjacency_list Adj_graph; - // map that gives to a certain simplex its node in graph and its dimension - //typedef std::pair Reference; - typedef boost::graph_traits::vertex_descriptor Vertex_t; - typedef boost::graph_traits::edge_descriptor Edge_t; - typedef boost::graph_traits::adjacency_iterator Adj_it; - typedef std::pair Out_edge_it; - - typedef boost::container::flat_map Graph_map; - typedef boost::container::flat_map Inv_graph_map; - -public: - Good_links(Simplicial_complex& sc): sc_(sc) - { - int dim = 0; - for (auto sh: sc_.complex_simplex_range()) - if (sc_.dimension(sh) > dim) - dim = sc_.dimension(sh); - dimension = dim; - count_good = Vertex_vector(dim); - count_bad = Vertex_vector(dim); - } - -private: - - Simplicial_complex& sc_; - unsigned dimension; - std::vector count_good; - std::vector count_bad; - - void add_vertices_to_link_graph(Vertex_vector& star_vertices, - typename Vertex_vector::iterator curr_v, - Adj_graph& adj_graph, - Graph_map& d_map, - Graph_map& f_map, - Vertex_vector& curr_simplex, - int curr_d, - int link_dimension) - { - Simplex_handle sh; - Vertex_t vert; - typename Vertex_vector::iterator it; - //std::pair resPair; - //typename Graph_map::iterator resPair; - //Add vertices - //std::cout << "Entered add vertices\n"; - for (it = curr_v; it != star_vertices.end(); ++it) { - curr_simplex.push_back(*it); //push next vertex in question - curr_simplex.push_back(star_vertices[0]); //push the center of the star - /* - std::cout << "Searching for "; - print_vector(curr_simplex); - std::cout << " curr_dim " << curr_d << " d " << dimension << ""; - */ - Vertex_vector curr_simplex_copy(curr_simplex); - sh = sc_.find(curr_simplex_copy); //a simplex of the star - curr_simplex.pop_back(); //pop the center of the star - curr_simplex_copy = Vertex_vector(curr_simplex); - if (sh != sc_.null_simplex()) { - //std::cout << " added\n"; - if (curr_d == link_dimension) { - sh = sc_.find(curr_simplex_copy); //a simplex of the link - assert(sh != sc_.null_simplex()); //ASSERT! - vert = boost::add_vertex(adj_graph); - d_map.emplace(sh,vert); - } - else { - if (curr_d == link_dimension-1) { - sh = sc_.find(curr_simplex_copy); //a simplex of the link - assert(sh != sc_.null_simplex()); - vert = boost::add_vertex(adj_graph); - f_map.emplace(sh,vert); - } - - //delete (&curr_simplex_copy); //Just so it doesn't stack - add_vertices_to_link_graph(star_vertices, - it+1, - adj_graph, - d_map, - f_map, - curr_simplex, - curr_d+1, link_dimension); - } - } - /* - else - std::cout << "\n"; - */ - curr_simplex.pop_back(); //pop the vertex in question - } - } - - void add_edges_to_link_graph(Adj_graph& adj_graph, - Graph_map& d_map, - Graph_map& f_map) - { - Simplex_handle sh; - // Add edges - //std::cout << "Entered add edges:\n"; - typename Graph_map::iterator map_it; - for (auto d_map_pair : d_map) { - //std::cout << "*"; - sh = d_map_pair.first; - Vertex_t d_vert = d_map_pair.second; - for (auto facet_sh : sc_.boundary_simplex_range(sh)) - //for (auto f_map_it : f_map) - { - //std::cout << "'"; - map_it = f_map.find(facet_sh); - //We must have all the facets in the graph at this point - assert(map_it != f_map.end()); - Vertex_t f_vert = map_it->second; - //std::cout << "Added edge " << sh->first << "-" << map_it->first->first << "\n"; - boost::add_edge(d_vert,f_vert,adj_graph); - } - } - } - - - - /* \brief Verifies if the simplices formed by vertices given by link_vertices - * form a pseudomanifold. - * The idea is to make a bipartite graph, where vertices are the d- and (d-1)-dimensional - * faces and edges represent adjacency between them. - */ - bool link_is_pseudomanifold(Vertex_vector& star_vertices, - int dimension) - { - Adj_graph adj_graph; - Graph_map d_map, f_map; - // d_map = map for d-dimensional simplices - // f_map = map for its facets - Vertex_vector init_vector = {}; - add_vertices_to_link_graph(star_vertices, - star_vertices.begin()+1, - adj_graph, - d_map, - f_map, - init_vector, - 0, dimension); - //std::cout << "DMAP_SIZE: " << d_map.size() << "\n"; - //std::cout << "FMAP_SIZE: " << f_map.size() << "\n"; - add_edges_to_link_graph(adj_graph, - d_map, - f_map); - for (auto f_map_it : f_map) { - //std::cout << "Degree of " << f_map_it.first->first << " is " << boost::out_degree(f_map_it.second, adj_graph) << "\n"; - if (boost::out_degree(f_map_it.second, adj_graph) != 2){ - count_bad[dimension]++; - return false; - } - } - // At this point I know that all (d-1)-simplices are adjacent to exactly 2 d-simplices - // What is left is to check the connexity - //std::vector components(boost::num_vertices(adj_graph)); - return true; //Forget the connexity - //return (boost::connected_components(adj_graph, &components[0]) == 1); - } - - int star_dim(Vertex_vector& star_vertices, - typename Vertex_vector::iterator curr_v, - int curr_d, - Vertex_vector& curr_simplex, - typename std::vector< int >::iterator curr_dc) - { - //std::cout << "Entered star_dim for " << *(curr_v-1) << "\n"; - Simplex_handle sh; - int final_d = curr_d; - typename Vertex_vector::iterator it; - typename Vertex_vector::iterator dc_it; - //std::cout << "Current vertex is " << - for (it = curr_v, dc_it = curr_dc; it != star_vertices.end(); ++it, ++dc_it) - { - curr_simplex.push_back(*it); - Vertex_vector curr_simplex_copy(curr_simplex); - /* - std::cout << "Searching for "; - print_vector(curr_simplex); - std::cout << " curr_dim " << curr_d << " final_dim " << final_d; - */ - sh = sc_.find(curr_simplex_copy); //Need a copy because find sorts the vector and I want star center to be the first - if (sh != sc_.null_simplex()) - { - //std::cout << " -> " << *it << "\n"; - int d = star_dim(star_vertices, - it+1, - curr_d+1, - curr_simplex, - dc_it); - if (d >= final_d) - { - final_d = d; - //std::cout << d << " "; - //print_vector(curr_simplex); - //std::cout << std::endl; - } - if (d >= *dc_it) - *dc_it = d; - } - /* - else - std::cout << "\n"; - */ - curr_simplex.pop_back(); - } - return final_d; - } - -public: - - /** \brief Returns true if the link is good - */ - bool has_good_link(Vertex_handle v) - { - typedef Vertex_vector typeVectorVertex; - typeVectorVertex star_vertices; - // Fill star_vertices - star_vertices.push_back(v); - for (auto u: sc_.complex_vertex_range()) - { - typeVectorVertex edge = {u,v}; - if (u != v && sc_.find(edge) != sc_.null_simplex()) - star_vertices.push_back(u); - } - // Find the dimension - typeVectorVertex init_simplex = {star_vertices[0]}; - bool is_pure = true; - std::vector dim_coface(star_vertices.size(), 1); - int d = star_dim(star_vertices, - star_vertices.begin()+1, - 0, - init_simplex, - dim_coface.begin()+1) - 1; //link_dim = star_dim - 1 - - assert(init_simplex.size() == 1); - // if (!is_pure) - // std::cout << "Found an impure star around " << v << "\n"; - for (int dc: dim_coface) - is_pure = (dc == dim_coface[0]); - /* - if (d == count_good.size()) - { - std::cout << "Found a star of dimension " << (d+1) << " around " << v << "\nThe star is "; - print_vector(star_vertices); std::cout << std::endl; - } - */ - //if (d == -1) count_bad[0]++; - bool b= (is_pure && link_is_pseudomanifold(star_vertices,d)); - if (d != -1) {if (b) count_good[d]++; else count_bad[d]++;} - if (!is_pure) count_bad[0]++; - return (d != -1 && b && is_pure); - } - -private: - void add_max_simplices_to_graph(Vertex_vector& star_vertices, - typename Vertex_vector::iterator curr_v, - Adj_graph& adj_graph, - Graph_map& d_map, - Graph_map& f_map, - Inv_graph_map& inv_d_map, - Vertex_vector& curr_simplex, - int curr_d, - int link_dimension) - { - Simplex_handle sh; - Vertex_t vert; - typename Vertex_vector::iterator it; - //std::pair resPair; - //typename Graph_map::iterator resPair; - //Add vertices - //std::cout << "Entered add vertices\n"; - for (it = curr_v; it != star_vertices.end(); ++it) { - curr_simplex.push_back(*it); //push next vertex in question - //curr_simplex.push_back(star_vertices[0]); //push the center of the star - /* - std::cout << "Searching for "; - print_vector(curr_simplex); - std::cout << " curr_dim " << curr_d << " d " << dimension << ""; - */ - Vertex_vector curr_simplex_copy(curr_simplex); - sh = sc_.find(curr_simplex_copy); //a simplex of the star - //curr_simplex.pop_back(); //pop the center of the star - curr_simplex_copy = Vertex_vector(curr_simplex); - if (sh != sc_.null_simplex()) { - //std::cout << " added\n"; - if (curr_d == link_dimension) { - sh = sc_.find(curr_simplex_copy); //a simplex of the link - assert(sh != sc_.null_simplex()); //ASSERT! - vert = boost::add_vertex(adj_graph); - d_map.emplace(sh,vert); - inv_d_map.emplace(vert,sh); - } - else { - if (curr_d == link_dimension-1) { - sh = sc_.find(curr_simplex_copy); //a simplex of the link - assert(sh != sc_.null_simplex()); - vert = boost::add_vertex(adj_graph); - f_map.emplace(sh,vert); - } - //delete (&curr_simplex_copy); //Just so it doesn't stack - add_max_simplices_to_graph(star_vertices, - it+1, - adj_graph, - d_map, - f_map, - inv_d_map, - curr_simplex, - curr_d+1, - link_dimension); - } - } - /* - else - std::cout << "\n"; - */ - curr_simplex.pop_back(); //pop the vertex in question - } - } - -public: - bool complex_is_pseudomanifold() - { - Adj_graph adj_graph; - Graph_map d_map, f_map; - // d_map = map for d-dimensional simplices - // f_map = map for its facets - Inv_graph_map inv_d_map; - Vertex_vector init_vector = {}; - std::vector star_vertices; - for (int v: sc_.complex_vertex_range()) - star_vertices.push_back(v); - add_max_simplices_to_graph(star_vertices, - star_vertices.begin(), - adj_graph, - d_map, - f_map, - inv_d_map, - init_vector, - 0, dimension); - //std::cout << "DMAP_SIZE: " << d_map.size() << "\n"; - //std::cout << "FMAP_SIZE: " << f_map.size() << "\n"; - add_edges_to_link_graph(adj_graph, - d_map, - f_map); - for (auto f_map_it : f_map) { - //std::cout << "Degree of " << f_map_it.first->first << " is " << boost::out_degree(f_map_it.second, adj_graph) << "\n"; - if (boost::out_degree(f_map_it.second, adj_graph) != 2) { - // if (boost::out_degree(f_map_it.second, adj_graph) >= 3) { - // // std::cout << "This simplex has 3+ cofaces: "; - // // for(auto v : sc_.simplex_vertex_range(f_map_it.first)) - // // std::cout << v << " "; - // // std::cout << std::endl; - // Adj_it ai, ai_end; - // for (std::tie(ai, ai_end) = boost::adjacent_vertices(f_map_it.second, adj_graph); ai != ai_end; ++ai) { - // auto it = inv_d_map.find(*ai); - // assert (it != inv_d_map.end()); - // typename Simplicial_complex::Simplex_handle sh = it->second; - // for(auto v : sc_.simplex_vertex_range(sh)) - // std::cout << v << " "; - // std::cout << std::endl; - // } - // } - count_bad[dimension]++; - return false; - } - } - // At this point I know that all (d-1)-simplices are adjacent to exactly 2 d-simplices - // What is left is to check the connexity - //std::vector components(boost::num_vertices(adj_graph)); - return true; //Forget the connexity - //return (boost::connected_components(adj_graph, &components[0]) == 1); - } - - int number_good_links(int dim) - { - return count_good[dim]; - } - - int number_bad_links(int dim) - { - return count_bad[dim]; - } - -}; - -} // namespace Gudhi - -#endif diff --git a/src/Witness_complex/include/gudhi/Landmark_choice_by_furthest_point.h b/src/Witness_complex/include/gudhi/Landmark_choice_by_furthest_point.h deleted file mode 100644 index df93155b..00000000 --- a/src/Witness_complex/include/gudhi/Landmark_choice_by_furthest_point.h +++ /dev/null @@ -1,105 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#ifndef LANDMARK_CHOICE_BY_FURTHEST_POINT_H_ -#define LANDMARK_CHOICE_BY_FURTHEST_POINT_H_ - -#include - -#include // for numeric_limits<> -#include -#include // for sort -#include - -namespace Gudhi { - -namespace witness_complex { - - typedef std::vector typeVectorVertex; - - /** - * \ingroup witness_complex - * \brief Landmark choice strategy by iteratively adding the furthest witness from the - * current landmark set as the new landmark. - * \details It chooses nbL landmarks from a random access range `points` and - * writes {witness}*{closest landmarks} matrix in `knn`. - * - * The type KNearestNeighbors can be seen as - * Witness_range>, where - * Witness_range and Closest_landmark_range are random access ranges - * - */ - - template - void landmark_choice_by_furthest_point(Point_random_access_range const &points, - int nbL, - KNearestNeighbours &knn) { - int nb_points = boost::size(points); - assert(nb_points >= nbL); - // distance matrix witness x landmarks - std::vector> wit_land_dist(nb_points, std::vector()); - // landmark list - typeVectorVertex chosen_landmarks; - - knn = KNearestNeighbours(nb_points, std::vector()); - int current_number_of_landmarks = 0; // counter for landmarks - double curr_max_dist = 0; // used for defining the furhest point from L - const double infty = std::numeric_limits::infinity(); // infinity (see next entry) - std::vector< double > dist_to_L(nb_points, infty); // vector of current distances to L from points - - // TODO(SK) Consider using rand_r(...) instead of rand(...) for improved thread safety - // or better yet std::uniform_int_distribution - int rand_int = rand() % nb_points; - int curr_max_w = rand_int; // For testing purposes a pseudo-random number is used here - - for (current_number_of_landmarks = 0; current_number_of_landmarks != nbL; current_number_of_landmarks++) { - // curr_max_w at this point is the next landmark - chosen_landmarks.push_back(curr_max_w); - unsigned i = 0; - for (auto& p : points) { - double curr_dist = euclidean_distance(p, *(std::begin(points) + chosen_landmarks[current_number_of_landmarks])); - wit_land_dist[i].push_back(curr_dist); - knn[i].push_back(current_number_of_landmarks); - if (curr_dist < dist_to_L[i]) - dist_to_L[i] = curr_dist; - ++i; - } - curr_max_dist = 0; - for (i = 0; i < dist_to_L.size(); i++) - if (dist_to_L[i] > curr_max_dist) { - curr_max_dist = dist_to_L[i]; - curr_max_w = i; - } - } - for (int i = 0; i < nb_points; ++i) - std::sort(std::begin(knn[i]), - std::end(knn[i]), - [&wit_land_dist, i](int a, int b) { - return wit_land_dist[i][a] < wit_land_dist[i][b]; }); - } - -} // namespace witness_complex - -} // namespace Gudhi - -#endif // LANDMARK_CHOICE_BY_FURTHEST_POINT_H_ diff --git a/src/Witness_complex/include/gudhi/Landmark_choice_by_random_point.h b/src/Witness_complex/include/gudhi/Landmark_choice_by_random_point.h deleted file mode 100644 index ebf6aad1..00000000 --- a/src/Witness_complex/include/gudhi/Landmark_choice_by_random_point.h +++ /dev/null @@ -1,96 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#ifndef LANDMARK_CHOICE_BY_RANDOM_POINT_H_ -#define LANDMARK_CHOICE_BY_RANDOM_POINT_H_ - -#include - -#include // for priority_queue<> -#include // for pair<> -#include -#include -#include - -namespace Gudhi { - -namespace witness_complex { - - /** - * \ingroup witness_complex - * \brief Landmark choice strategy by taking random vertices for landmarks. - * \details It chooses nbL distinct landmarks from a random access range `points` - * and outputs a matrix {witness}*{closest landmarks} in knn. - * - * The type KNearestNeighbors can be seen as - * Witness_range>, where - * Witness_range and Closest_landmark_range are random access ranges and - * Vertex_handle is the label type of a vertex in a simplicial complex. - * Closest_landmark_range needs to have push_back operation. - */ - - template - void landmark_choice_by_random_point(Point_random_access_range const &points, - int nbL, - KNearestNeighbours &knn) { - int nbP = boost::size(points); - assert(nbP >= nbL); - std::set landmarks; - int current_number_of_landmarks = 0; // counter for landmarks - - // TODO(SK) Consider using rand_r(...) instead of rand(...) for improved thread safety - int chosen_landmark = rand() % nbP; - for (current_number_of_landmarks = 0; current_number_of_landmarks != nbL; current_number_of_landmarks++) { - while (landmarks.find(chosen_landmark) != landmarks.end()) - chosen_landmark = rand() % nbP; - landmarks.insert(chosen_landmark); - } - - int dim = boost::size(*std::begin(points)); - typedef std::pair dist_i; - typedef bool (*comp)(dist_i, dist_i); - knn = KNearestNeighbours(nbP); - for (int points_i = 0; points_i < nbP; points_i++) { - std::priority_queue, comp> l_heap([](dist_i j1, dist_i j2) { - return j1.first > j2.first; - }); - std::set::iterator landmarks_it; - int landmarks_i = 0; - for (landmarks_it = landmarks.begin(), landmarks_i = 0; landmarks_it != landmarks.end(); - ++landmarks_it, landmarks_i++) { - dist_i dist = std::make_pair(euclidean_distance(points[points_i], points[*landmarks_it]), landmarks_i); - l_heap.push(dist); - } - for (int i = 0; i < dim + 1; i++) { - dist_i dist = l_heap.top(); - knn[points_i].push_back(dist.second); - l_heap.pop(); - } - } - } - -} // namespace witness_complex - -} // namespace Gudhi - -#endif // LANDMARK_CHOICE_BY_RANDOM_POINT_H_ diff --git a/src/Witness_complex/include/gudhi/Relaxed_witness_complex.h b/src/Witness_complex/include/gudhi/Relaxed_witness_complex.h deleted file mode 100644 index 2971149a..00000000 --- a/src/Witness_complex/include/gudhi/Relaxed_witness_complex.h +++ /dev/null @@ -1,379 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#ifndef RELAXED_WITNESS_COMPLEX_H_ -#define RELAXED_WITNESS_COMPLEX_H_ - -#include -#include -#include -#include -#include "gudhi/reader_utils.h" -#include "gudhi/distance_functions.h" -#include "gudhi/Simplex_tree.h" -#include -#include -#include -#include -#include -#include -#include -#include - -// Needed for nearest neighbours -#include -#include -#include -#include -#include -#include - -#include -#include -#include -#include - -// Needed for the adjacency graph in bad link search -#include -#include -#include - -namespace Gudhi { - -namespace witness_complex { - - /** \addtogroup simplex_tree - * Witness complex is a simplicial complex defined on two sets of points in \f$\mathbf{R}^D\f$: - * \f$W\f$ set of witnesses and \f$L \subseteq W\f$ set of landmarks. The simplices are based on points in \f$L\f$ - * and a simplex belongs to the witness complex if and only if it is witnessed (there exists a point \f$w \in W\f$ such that - * w is closer to the vertices of this simplex than others) and all of its faces are witnessed as well. - */ -template< class Simplicial_complex > -class Relaxed_witness_complex { - -private: - struct Active_witness { - int witness_id; - int landmark_id; - - Active_witness(int witness_id_, int landmark_id_) - : witness_id(witness_id_), - landmark_id(landmark_id_) { } - }; - -private: - typedef typename Simplicial_complex::Simplex_handle Simplex_handle; - typedef typename Simplicial_complex::Vertex_handle Vertex_handle; - typedef typename Simplicial_complex::Filtration_value FT; - - typedef std::vector< double > Point_t; - typedef std::vector< Point_t > Point_Vector; - - // typedef typename Simplicial_complex::Filtration_value Filtration_value; - typedef std::vector< Vertex_handle > typeVectorVertex; - typedef std::pair< typeVectorVertex, Filtration_value> typeSimplex; - typedef std::pair< Simplex_handle, bool > typePairSimplexBool; - - typedef int Witness_id; - typedef int Landmark_id; - typedef std::list< Vertex_handle > ActiveWitnessList; - - private: - int nbL; // Number of landmarks - Simplicial_complex& sc; // Simplicial complex - - public: - /** @name Constructor - */ - - //@{ - - /** - * \brief Iterative construction of the relaxed witness complex. - * \details The witness complex is written in sc_ basing on a matrix knn - * of k nearest neighbours of the form {witnesses}x{landmarks} and - * and a matrix distances of distances to these landmarks from witnesses. - * The parameter alpha defines relaxation and - * limD defines the - * - * The line lengths in one given matrix can differ, - * however both matrices have the same corresponding line lengths. - * - * The type KNearestNeighbors can be seen as - * Witness_range>, where - * Witness_range and Closest_landmark_range are random access ranges. - * - * Constructor takes into account at most (dim+1) - * first landmarks from each landmark range to construct simplices. - * - * Landmarks are supposed to be in [0,nbL_-1] - */ - - template< typename KNearestNeighbours > - Relaxed_witness_complex(std::vector< std::vector > const & distances, - KNearestNeighbours const & knn, - Simplicial_complex & sc_, - int nbL_, - double alpha, - int limD) : nbL(nbL_), sc(sc_) { - int nbW = knn.size(); - typeVectorVertex vv; - //int counter = 0; - /* The list of still useful witnesses - * it will diminuish in the course of iterations - */ - ActiveWitnessList active_w;// = new ActiveWitnessList(); - for (int i = 0; i != nbL; ++i) { - // initial fill of 0-dimensional simplices - // by doing it we don't assume that landmarks are necessarily witnesses themselves anymore - //counter++; - vv = {i}; - sc.insert_simplex(vv, Filtration_value(0.0)); - /* TODO Error if not inserted : normally no need here though*/ - } - int k = 1; /* current dimension in iterative construction */ - for (int i=0; i != nbW; ++i) - active_w.push_back(i); - while (!active_w.empty() && k <= limD && k < nbL ) - { - typename ActiveWitnessList::iterator aw_it = active_w.begin(); - while (aw_it != active_w.end()) - { - std::vector simplex; - bool ok = add_all_faces_of_dimension(k, - alpha, - std::numeric_limits::infinity(), - distances[*aw_it].begin(), - knn[*aw_it].begin(), - simplex, - knn[*aw_it].end()); - if (!ok) - active_w.erase(aw_it++); //First increase the iterator and then erase the previous element - else - aw_it++; - } - k++; - } - sc.set_dimension(limD); - } - - //@} - -private: - /* \brief Adds recursively all the faces of a certain dimension dim witnessed by the same witness - * Iterator is needed to know until how far we can take landmarks to form simplexes - * simplex is the prefix of the simplexes to insert - * The output value indicates if the witness rests active or not - */ - bool add_all_faces_of_dimension(int dim, - double alpha, - double norelax_dist, - std::vector::const_iterator curr_d, - std::vector::const_iterator curr_l, - std::vector& simplex, - std::vector::const_iterator end) - { - if (curr_l == end) - return false; - bool will_be_active = false; - std::vector::const_iterator l_it = curr_l; - std::vector::const_iterator d_it = curr_d; - if (dim > 0) - for (; *d_it - alpha <= norelax_dist && l_it != end; ++l_it, ++d_it) { - simplex.push_back(*l_it); - if (sc.find(simplex) != sc.null_simplex()) - will_be_active = add_all_faces_of_dimension(dim-1, - alpha, - norelax_dist, - d_it+1, - l_it+1, - simplex, - end) || will_be_active; - simplex.pop_back(); - // If norelax_dist is infinity, change to first omitted distance - if (*d_it <= norelax_dist) - norelax_dist = *d_it; - will_be_active = add_all_faces_of_dimension(dim-1, - alpha, - norelax_dist, - d_it+1, - l_it+1, - simplex, - end) || will_be_active; - } - else if (dim == 0) - for (; *d_it - alpha <= norelax_dist && l_it != end; ++l_it, ++d_it) { - simplex.push_back(*l_it); - double filtration_value = 0; - // if norelax_dist is infinite, relaxation is 0. - if (*d_it > norelax_dist) - filtration_value = *d_it - norelax_dist; - if (all_faces_in(simplex, &filtration_value)) { - will_be_active = true; - sc.insert_simplex(simplex, filtration_value); - } - simplex.pop_back(); - // If norelax_dist is infinity, change to first omitted distance - if (*d_it < norelax_dist) - norelax_dist = *d_it; - } - return will_be_active; - } - - /** \brief Check if the facets of the k-dimensional simplex witnessed - * by witness witness_id are already in the complex. - * inserted_vertex is the handle of the (k+1)-th vertex witnessed by witness_id - */ - bool all_faces_in(std::vector& simplex, double* filtration_value) - { - std::vector< int > facet; - for (std::vector::iterator not_it = simplex.begin(); not_it != simplex.end(); ++not_it) - { - facet.clear(); - for (std::vector::iterator it = simplex.begin(); it != simplex.end(); ++it) - if (it != not_it) - facet.push_back(*it); - Simplex_handle facet_sh = sc.find(facet); - if (facet_sh == sc.null_simplex()) - return false; - else if (sc.filtration(facet_sh) > *filtration_value) - *filtration_value = sc.filtration(facet_sh); - } - return true; - } - - bool is_face(Simplex_handle face, Simplex_handle coface) - { - // vertex range is sorted in decreasing order - auto fvr = sc.simplex_vertex_range(face); - auto cfvr = sc.simplex_vertex_range(coface); - auto fv_it = fvr.begin(); - auto cfv_it = cfvr.begin(); - while (fv_it != fvr.end() && cfv_it != cfvr.end()) { - if (*fv_it < *cfv_it) - ++cfv_it; - else if (*fv_it == *cfv_it) { - ++cfv_it; - ++fv_it; - } - else - return false; - - } - return (fv_it == fvr.end()); - } - - // void erase_simplex(Simplex_handle sh) - // { - // auto siblings = sc.self_siblings(sh); - // auto oncles = siblings->oncles(); - // int prev_vertex = siblings->parent(); - // siblings->members().erase(sh->first); - // if (siblings->members().empty()) { - // typename typedef Simplicial_complex::Siblings Siblings; - // oncles->members().find(prev_vertex)->second.assign_children(new Siblings(oncles, prev_vertex)); - // assert(!sc.has_children(oncles->members().find(prev_vertex))); - // //delete siblings; - // } - - // } - - void elementary_collapse(Simplex_handle face_sh, Simplex_handle coface_sh) - { - erase_simplex(coface_sh); - erase_simplex(face_sh); - } - -public: - // void collapse(std::vector& simplices) - // { - // // Get a vector of simplex handles ordered by filtration value - // std::cout << sc << std::endl; - // //std::vector simplices; - // for (Simplex_handle sh: sc.filtration_simplex_range()) - // simplices.push_back(sh); - // // std::sort(simplices.begin(), - // // simplices.end(), - // // [&](Simplex_handle sh1, Simplex_handle sh2) - // // { double f1 = sc.filtration(sh1), f2 = sc.filtration(sh2); - // // return (f1 > f2) || (f1 >= f2 && sc.dimension(sh1) > sc.dimension(sh2)); }); - // // Double iteration - // auto face_it = simplices.rbegin(); - // while (face_it != simplices.rend() && sc.filtration(*face_it) != 0) { - // int coface_count = 0; - // auto reduced_coface = simplices.rbegin(); - // for (auto coface_it = simplices.rbegin(); coface_it != simplices.rend() && sc.filtration(*coface_it) != 0; ++coface_it) - // if (face_it != coface_it && is_face(*face_it, *coface_it)) { - // coface_count++; - // if (coface_count == 1) - // reduced_coface = coface_it; - // else - // break; - // } - // if (coface_count == 1) { - // std::cout << "Erase ( "; - // for (auto v: sc.simplex_vertex_range(*(--reduced_coface.base()))) - // std::cout << v << " "; - - // simplices.erase(--(reduced_coface.base())); - // //elementary_collapse(*face_it, *reduced_coface); - // std::cout << ") and then ( "; - // for (auto v: sc.simplex_vertex_range(*(--face_it.base()))) - // std::cout << v << " "; - // std::cout << ")\n"; - // simplices.erase(--((face_it++).base())); - // //face_it = simplices.rbegin(); - // //std::cout << "Size of vector: " << simplices.size() << "\n"; - // } - // else - // face_it++; - // } - // sc.initialize_filtration(); - // //std::cout << sc << std::endl; - // } - - template - void collapse(Dim_lists& dim_lists) - { - dim_lists.collapse(); - } - -private: - - /** Collapse recursively boundary faces of the given simplex - * if its filtration is bigger than alpha_lim. - */ - void rec_boundary_collapse(Simplex_handle sh, FT alpha_lim) - { - for (Simplex_handle face_it : sc.boundary_simplex_range()) { - - } - - } - -}; //class Relaxed_witness_complex - -} // namespace witness_complex - -} // namespace Gudhi - -#endif diff --git a/src/Witness_complex/include/gudhi/Strange_witness_complex.h b/src/Witness_complex/include/gudhi/Strange_witness_complex.h deleted file mode 100644 index c1c2912b..00000000 --- a/src/Witness_complex/include/gudhi/Strange_witness_complex.h +++ /dev/null @@ -1,232 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#ifndef WITNESS_COMPLEX_H_ -#define WITNESS_COMPLEX_H_ - -// Needed for the adjacency graph in bad link search -#include -#include -#include - -#include -#include - -#include - -#include -#include -#include -#include -#include -#include -#include -#include -#include - -namespace Gudhi { - -namespace witness_complex { - -/** - \class Witness_complex - \brief Constructs the witness complex for the given set of witnesses and landmarks. - \ingroup witness_complex - */ -template< class Simplicial_complex> -class Strange_witness_complex { - private: - struct Active_witness { - int witness_id; - int landmark_id; - - Active_witness(int witness_id_, int landmark_id_) - : witness_id(witness_id_), - landmark_id(landmark_id_) { } - }; - - private: - typedef typename Simplicial_complex::Simplex_handle Simplex_handle; - typedef typename Simplicial_complex::Vertex_handle Vertex_handle; - - typedef std::vector< double > Point_t; - typedef std::vector< Point_t > Point_Vector; - - // typedef typename Simplicial_complex::Filtration_value Filtration_value; - typedef std::vector< Vertex_handle > typeVectorVertex; - typedef std::pair< typeVectorVertex, Filtration_value> typeSimplex; - typedef std::pair< Simplex_handle, bool > typePairSimplexBool; - - typedef int Witness_id; - typedef int Landmark_id; - typedef std::list< Vertex_handle > ActiveWitnessList; - - private: - int nbL; // Number of landmarks - Simplicial_complex& sc; // Simplicial complex - - public: - ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////// - /** @name Constructor - */ - - //@{ - - // Witness_range> - - /** - * \brief Iterative construction of the witness complex. - * \details The witness complex is written in sc_ basing on a matrix knn of - * nearest neighbours of the form {witnesses}x{landmarks}. - * - * The type KNearestNeighbors can be seen as - * Witness_range>, where - * Witness_range and Closest_landmark_range are random access ranges. - * - * Constructor takes into account at most (dim+1) - * first landmarks from each landmark range to construct simplices. - * - * Landmarks are supposed to be in [0,nbL_-1] - */ - template< typename KNearestNeighbors > - Strange_witness_complex(KNearestNeighbors const & knn, - Simplicial_complex & sc_, - int nbL_, - int dim) : nbL(nbL_), sc(sc_) { - // Construction of the active witness list - int nbW = knn.size(); - typeVectorVertex vv; - int counter = 0; - /* The list of still useful witnesses - * it will diminuish in the course of iterations - */ - for (int i = 0; i != nbL; ++i) { - // initial fill of 0-dimensional simplices - // by doing it we don't assume that landmarks are necessarily witnesses themselves anymore - counter++; - vv = {i}; - sc.insert_simplex(vv); - // TODO(SK) Error if not inserted : normally no need here though - } - for (int i = 0; i != nbW; ++i) { - std::vector simplex; - simplex.reserve(dim+1); - for (int j = 0; j <= dim; j++) - simplex.push_back(knn[i][j]); - sc.insert_simplex_and_subfaces(simplex); - } - } - - //@} - - private: - /** \brief Check if the facets of the k-dimensional simplex witnessed - * by witness witness_id are already in the complex. - * inserted_vertex is the handle of the (k+1)-th vertex witnessed by witness_id - */ - template - bool all_faces_in(KNearestNeighbors const &knn, int witness_id, int k) { - // std::cout << "All face in with the landmark " << inserted_vertex << std::endl; - std::vector< Vertex_handle > facet; - // Vertex_handle curr_vh = curr_sh->first; - // CHECK ALL THE FACETS - for (int i = 0; i != k + 1; ++i) { - facet = {}; - for (int j = 0; j != k + 1; ++j) { - if (j != i) { - facet.push_back(knn[witness_id][j]); - } - } // endfor - if (sc.find(facet) == sc.null_simplex()) - return false; - // std::cout << "++++ finished loop safely\n"; - } // endfor - return true; - } - - template - static void print_vector(const std::vector& v) { - std::cout << "["; - if (!v.empty()) { - std::cout << *(v.begin()); - for (auto it = v.begin() + 1; it != v.end(); ++it) { - std::cout << ","; - std::cout << *it; - } - } - std::cout << "]"; - } - - public: - /** - * \brief Verification if every simplex in the complex is witnessed by witnesses in knn. - * \param print_output =true will print the witnesses for each simplex - * \remark Added for debugging purposes. - */ - template< class KNearestNeighbors > - bool is_witness_complex(KNearestNeighbors const & knn, bool print_output) { - // bool final_result = true; - for (Simplex_handle sh : sc.complex_simplex_range()) { - bool is_witnessed = false; - typeVectorVertex simplex; - int nbV = 0; // number of verticed in the simplex - for (int v : sc.simplex_vertex_range(sh)) - simplex.push_back(v); - nbV = simplex.size(); - for (typeVectorVertex w : knn) { - bool has_vertices = true; - for (int v : simplex) - if (std::find(w.begin(), w.begin() + nbV, v) == w.begin() + nbV) { - has_vertices = false; - // break; - } - if (has_vertices) { - is_witnessed = true; - if (print_output) { - std::cout << "The simplex "; - print_vector(simplex); - std::cout << " is witnessed by the witness "; - print_vector(w); - std::cout << std::endl; - } - break; - } - } - if (!is_witnessed) { - if (print_output) { - std::cout << "The following simplex is not witnessed "; - print_vector(simplex); - std::cout << std::endl; - } - assert(is_witnessed); - return false; - } - } - return true; - } -}; - -} // namespace witness_complex - -} // namespace Gudhi - -#endif // WITNESS_COMPLEX_H_ diff --git a/src/Witness_complex/include/gudhi/Strong_relaxed_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_relaxed_witness_complex.h deleted file mode 100644 index ee863a42..00000000 --- a/src/Witness_complex/include/gudhi/Strong_relaxed_witness_complex.h +++ /dev/null @@ -1,337 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#ifndef STRONG_RELAXED_WITNESS_COMPLEX_H_ -#define STRONG_RELAXED_WITNESS_COMPLEX_H_ - -#include -#include -#include -#include -#include "gudhi/reader_utils.h" -#include "gudhi/distance_functions.h" -#include "gudhi/Simplex_tree.h" -#include -#include -#include -#include -#include -#include -#include -#include - -// Needed for nearest neighbours -#include -#include -#include -#include -#include -#include - -#include -#include -#include -#include - -// Needed for the adjacency graph in bad link search -#include -#include -#include - -namespace Gudhi { - -namespace witness_complex { - - /** \addtogroup simplex_tree - * Witness complex is a simplicial complex defined on two sets of points in \f$\mathbf{R}^D\f$: - * \f$W\f$ set of witnesses and \f$L \subseteq W\f$ set of landmarks. The simplices are based on points in \f$L\f$ - * and a simplex belongs to the witness complex if and only if it is witnessed (there exists a point \f$w \in W\f$ such that - * w is closer to the vertices of this simplex than others) and all of its faces are witnessed as well. - */ -template< class Simplicial_complex > -class Strong_relaxed_witness_complex { - -private: - struct Active_witness { - int witness_id; - int landmark_id; - - Active_witness(int witness_id_, int landmark_id_) - : witness_id(witness_id_), - landmark_id(landmark_id_) { } - }; - -private: - typedef typename Simplicial_complex::Simplex_handle Simplex_handle; - typedef typename Simplicial_complex::Vertex_handle Vertex_handle; - typedef typename Simplicial_complex::Filtration_value FT; - - typedef std::vector< double > Point_t; - typedef std::vector< Point_t > Point_Vector; - - // typedef typename Simplicial_complex::Filtration_value Filtration_value; - typedef std::vector< Vertex_handle > typeVectorVertex; - typedef std::pair< typeVectorVertex, Filtration_value> typeSimplex; - typedef std::pair< Simplex_handle, bool > typePairSimplexBool; - - typedef int Witness_id; - typedef int Landmark_id; - typedef std::list< Vertex_handle > ActiveWitnessList; - - private: - int nbL; // Number of landmarks - Simplicial_complex& sc; // Simplicial complex - - public: - /** @name Constructor - */ - - //@{ - - /** - * \brief Iterative construction of the relaxed witness complex. - * \details The witness complex is written in sc_ basing on a matrix knn - * of k nearest neighbours of the form {witnesses}x{landmarks} and - * and a matrix distances of distances to these landmarks from witnesses. - * The parameter alpha defines relaxation and - * limD defines the - * - * The line lengths in one given matrix can differ, - * however both matrices have the same corresponding line lengths. - * - * The type KNearestNeighbors can be seen as - * Witness_range>, where - * Witness_range and Closest_landmark_range are random access ranges. - * - * Constructor takes into account at most (dim+1) - * first landmarks from each landmark range to construct simplices. - * - * Landmarks are supposed to be in [0,nbL_-1] - */ - - template< typename KNearestNeighbours > - Strong_relaxed_witness_complex(std::vector< std::vector > const & distances, - KNearestNeighbours const & knn, - Simplicial_complex & sc_, - int nbL_, - double alpha2, - unsigned limD) : nbL(nbL_), sc(sc_) { - int nbW = knn.size(); - typeVectorVertex vv; - //int counter = 0; - /* The list of still useful witnesses - * it will diminuish in the course of iterations - */ - ActiveWitnessList active_w;// = new ActiveWitnessList(); - for (int i = 0; i != nbL; ++i) { - // initial fill of 0-dimensional simplices - // by doing it we don't assume that landmarks are necessarily witnesses themselves anymore - //counter++; - vv = {i}; - sc.insert_simplex(vv, Filtration_value(0.0)); - /* TODO Error if not inserted : normally no need here though*/ - } - for (int i=0; i != nbW; ++i) { - // int i_end = limD+1; - // if (knn[i].size() < limD+1) - // i_end = knn[i].size(); - // double dist_wL = *(distances[i].begin()); - // while (distances[i][i_end] > dist_wL + alpha2) - // i_end--; - // add_all_witnessed_faces(distances[i].begin(), - // knn[i].begin(), - // knn[i].begin() + i_end + 1); - unsigned j_end = 0; - while (j_end < distances[i].size() && j_end <= limD && distances[i][j_end] <= distances[i][0] + alpha2) { - std::vector simplex; - for (unsigned j = 0; j <= j_end; ++j) - simplex.push_back(knn[i][j]); - assert(distances[i][j_end] - distances[i][0] >= 0); - sc.insert_simplex_and_subfaces(simplex, distances[i][j_end] - distances[i][0]); - j_end++; - } - } - sc.set_dimension(limD); - } - - //@} - -private: - /* \brief Adds recursively all the faces of a certain dimension dim witnessed by the same witness - * Iterator is needed to know until how far we can take landmarks to form simplexes - * simplex is the prefix of the simplexes to insert - * The output value indicates if the witness rests active or not - */ - void add_all_witnessed_faces(std::vector::const_iterator curr_d, - std::vector::const_iterator curr_l, - std::vector::const_iterator end) - { - std::vector simplex; - std::vector::const_iterator l_end = curr_l; - for (; l_end != end; ++l_end) { - std::vector::const_iterator l_it = curr_l; - std::vector::const_iterator d_it = curr_d; - simplex = {}; - for (; l_it != l_end; ++l_it, ++d_it) - simplex.push_back(*l_it); - sc.insert_simplex_and_subfaces(simplex, *(d_it--) - *curr_d); - } - } - - /** \brief Check if the facets of the k-dimensional simplex witnessed - * by witness witness_id are already in the complex. - * inserted_vertex is the handle of the (k+1)-th vertex witnessed by witness_id - */ - bool all_faces_in(std::vector& simplex, double* filtration_value) - { - std::vector< int > facet; - for (std::vector::iterator not_it = simplex.begin(); not_it != simplex.end(); ++not_it) - { - facet.clear(); - for (std::vector::iterator it = simplex.begin(); it != simplex.end(); ++it) - if (it != not_it) - facet.push_back(*it); - Simplex_handle facet_sh = sc.find(facet); - if (facet_sh == sc.null_simplex()) - return false; - else if (sc.filtration(facet_sh) > *filtration_value) - *filtration_value = sc.filtration(facet_sh); - } - return true; - } - - bool is_face(Simplex_handle face, Simplex_handle coface) - { - // vertex range is sorted in decreasing order - auto fvr = sc.simplex_vertex_range(face); - auto cfvr = sc.simplex_vertex_range(coface); - auto fv_it = fvr.begin(); - auto cfv_it = cfvr.begin(); - while (fv_it != fvr.end() && cfv_it != cfvr.end()) { - if (*fv_it < *cfv_it) - ++cfv_it; - else if (*fv_it == *cfv_it) { - ++cfv_it; - ++fv_it; - } - else - return false; - - } - return (fv_it == fvr.end()); - } - - // void erase_simplex(Simplex_handle sh) - // { - // auto siblings = sc.self_siblings(sh); - // auto oncles = siblings->oncles(); - // int prev_vertex = siblings->parent(); - // siblings->members().erase(sh->first); - // if (siblings->members().empty()) { - // typename typedef Simplicial_complex::Siblings Siblings; - // oncles->members().find(prev_vertex)->second.assign_children(new Siblings(oncles, prev_vertex)); - // assert(!sc.has_children(oncles->members().find(prev_vertex))); - // //delete siblings; - // } - - // } - - void elementary_collapse(Simplex_handle face_sh, Simplex_handle coface_sh) - { - erase_simplex(coface_sh); - erase_simplex(face_sh); - } - -public: - // void collapse(std::vector& simplices) - // { - // // Get a vector of simplex handles ordered by filtration value - // std::cout << sc << std::endl; - // //std::vector simplices; - // for (Simplex_handle sh: sc.filtration_simplex_range()) - // simplices.push_back(sh); - // // std::sort(simplices.begin(), - // // simplices.end(), - // // [&](Simplex_handle sh1, Simplex_handle sh2) - // // { double f1 = sc.filtration(sh1), f2 = sc.filtration(sh2); - // // return (f1 > f2) || (f1 >= f2 && sc.dimension(sh1) > sc.dimension(sh2)); }); - // // Double iteration - // auto face_it = simplices.rbegin(); - // while (face_it != simplices.rend() && sc.filtration(*face_it) != 0) { - // int coface_count = 0; - // auto reduced_coface = simplices.rbegin(); - // for (auto coface_it = simplices.rbegin(); coface_it != simplices.rend() && sc.filtration(*coface_it) != 0; ++coface_it) - // if (face_it != coface_it && is_face(*face_it, *coface_it)) { - // coface_count++; - // if (coface_count == 1) - // reduced_coface = coface_it; - // else - // break; - // } - // if (coface_count == 1) { - // std::cout << "Erase ( "; - // for (auto v: sc.simplex_vertex_range(*(--reduced_coface.base()))) - // std::cout << v << " "; - - // simplices.erase(--(reduced_coface.base())); - // //elementary_collapse(*face_it, *reduced_coface); - // std::cout << ") and then ( "; - // for (auto v: sc.simplex_vertex_range(*(--face_it.base()))) - // std::cout << v << " "; - // std::cout << ")\n"; - // simplices.erase(--((face_it++).base())); - // //face_it = simplices.rbegin(); - // //std::cout << "Size of vector: " << simplices.size() << "\n"; - // } - // else - // face_it++; - // } - // sc.initialize_filtration(); - // //std::cout << sc << std::endl; - // } - - template - void collapse(Dim_lists& dim_lists) - { - dim_lists.collapse(); - } - -private: - - /** Collapse recursively boundary faces of the given simplex - * if its filtration is bigger than alpha_lim. - */ - void rec_boundary_collapse(Simplex_handle sh, FT alpha_lim) - { - for (Simplex_handle face_it : sc.boundary_simplex_range()) { - - } - - } - -}; //class Strong_relaxed_witness_complex - -} // namespace witness_complex - -} // namespace Gudhi - -#endif diff --git a/src/Witness_complex/include/gudhi/Weak_relaxed_witness_complex.h b/src/Witness_complex/include/gudhi/Weak_relaxed_witness_complex.h deleted file mode 100644 index a1aedd8e..00000000 --- a/src/Witness_complex/include/gudhi/Weak_relaxed_witness_complex.h +++ /dev/null @@ -1,379 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#ifndef WEAK_RELAXED_WITNESS_COMPLEX_H_ -#define WEAK_RELAXED_WITNESS_COMPLEX_H_ - -#include -#include -#include -#include -#include "gudhi/reader_utils.h" -#include "gudhi/distance_functions.h" -#include "gudhi/Simplex_tree.h" -#include -#include -#include -#include -#include -#include -#include -#include - -// Needed for nearest neighbours -#include -#include -#include -#include -#include -#include - -#include -#include -#include -#include - -// Needed for the adjacency graph in bad link search -#include -#include -#include - -namespace Gudhi { - -namespace witness_complex { - - /** \addtogroup simplex_tree - * Witness complex is a simplicial complex defined on two sets of points in \f$\mathbf{R}^D\f$: - * \f$W\f$ set of witnesses and \f$L \subseteq W\f$ set of landmarks. The simplices are based on points in \f$L\f$ - * and a simplex belongs to the witness complex if and only if it is witnessed (there exists a point \f$w \in W\f$ such that - * w is closer to the vertices of this simplex than others) and all of its faces are witnessed as well. - */ -template< class Simplicial_complex > -class Weak_relaxed_witness_complex { - -private: - struct Active_witness { - int witness_id; - int landmark_id; - - Active_witness(int witness_id_, int landmark_id_) - : witness_id(witness_id_), - landmark_id(landmark_id_) { } - }; - -private: - typedef typename Simplicial_complex::Simplex_handle Simplex_handle; - typedef typename Simplicial_complex::Vertex_handle Vertex_handle; - typedef typename Simplicial_complex::Filtration_value FT; - - typedef std::vector< double > Point_t; - typedef std::vector< Point_t > Point_Vector; - - // typedef typename Simplicial_complex::Filtration_value Filtration_value; - typedef std::vector< Vertex_handle > typeVectorVertex; - typedef std::pair< typeVectorVertex, Filtration_value> typeSimplex; - typedef std::pair< Simplex_handle, bool > typePairSimplexBool; - - typedef int Witness_id; - typedef int Landmark_id; - typedef std::list< Vertex_handle > ActiveWitnessList; - - private: - int nbL; // Number of landmarks - Simplicial_complex& sc; // Simplicial complex - - public: - /** @name Constructor - */ - - //@{ - - /** - * \brief Iterative construction of the relaxed witness complex. - * \details The witness complex is written in sc_ basing on a matrix knn - * of k nearest neighbours of the form {witnesses}x{landmarks} and - * and a matrix distances of distances to these landmarks from witnesses. - * The parameter alpha defines relaxation and - * limD defines the - * - * The line lengths in one given matrix can differ, - * however both matrices have the same corresponding line lengths. - * - * The type KNearestNeighbors can be seen as - * Witness_range>, where - * Witness_range and Closest_landmark_range are random access ranges. - * - * Constructor takes into account at most (dim+1) - * first landmarks from each landmark range to construct simplices. - * - * Landmarks are supposed to be in [0,nbL_-1] - */ - - template< typename KNearestNeighbours > - Weak_relaxed_witness_complex(std::vector< std::vector > const & distances, - KNearestNeighbours const & knn, - Simplicial_complex & sc_, - int nbL_, - double alpha, - int limD) : nbL(nbL_), sc(sc_) { - int nbW = knn.size(); - typeVectorVertex vv; - //int counter = 0; - /* The list of still useful witnesses - * it will diminuish in the course of iterations - */ - ActiveWitnessList active_w;// = new ActiveWitnessList(); - for (int i = 0; i != nbL; ++i) { - // initial fill of 0-dimensional simplices - // by doing it we don't assume that landmarks are necessarily witnesses themselves anymore - //counter++; - vv = {i}; - sc.insert_simplex(vv, Filtration_value(0.0)); - /* TODO Error if not inserted : normally no need here though*/ - } - int k = 1; /* current dimension in iterative construction */ - for (int i=0; i != nbW; ++i) - active_w.push_back(i); - while (!active_w.empty() && k <= limD && k < nbL ) - { - typename ActiveWitnessList::iterator aw_it = active_w.begin(); - while (aw_it != active_w.end()) - { - std::vector simplex; - bool ok = add_all_faces_of_dimension(k, - alpha, - std::numeric_limits::infinity(), - distances[*aw_it].begin(), - knn[*aw_it].begin(), - simplex, - knn[*aw_it].end()); - if (!ok) - active_w.erase(aw_it++); //First increase the iterator and then erase the previous element - else - aw_it++; - } - k++; - } - sc.set_dimension(limD); - } - - //@} - -private: - /* \brief Adds recursively all the faces of a certain dimension dim witnessed by the same witness - * Iterator is needed to know until how far we can take landmarks to form simplexes - * simplex is the prefix of the simplexes to insert - * The output value indicates if the witness rests active or not - */ - bool add_all_faces_of_dimension(int dim, - double alpha, - double norelax_dist, - std::vector::const_iterator curr_d, - std::vector::const_iterator curr_l, - std::vector& simplex, - std::vector::const_iterator end) - { - if (curr_l == end) - return false; - bool will_be_active = false; - std::vector::const_iterator l_it = curr_l; - std::vector::const_iterator d_it = curr_d; - if (dim > 0) - for (; *d_it - alpha <= norelax_dist && l_it != end; ++l_it, ++d_it) { - simplex.push_back(*l_it); - if (sc.find(simplex) != sc.null_simplex()) - will_be_active = add_all_faces_of_dimension(dim-1, - alpha, - norelax_dist, - d_it+1, - l_it+1, - simplex, - end) || will_be_active; - simplex.pop_back(); - // If norelax_dist is infinity, change to first omitted distance - if (*d_it <= norelax_dist) - norelax_dist = *d_it; - will_be_active = add_all_faces_of_dimension(dim-1, - alpha, - norelax_dist, - d_it+1, - l_it+1, - simplex, - end) || will_be_active; - } - else if (dim == 0) - for (; *d_it - alpha <= norelax_dist && l_it != end; ++l_it, ++d_it) { - simplex.push_back(*l_it); - double filtration_value = 0; - // if norelax_dist is infinite, relaxation is 0. - if (*d_it > norelax_dist) - filtration_value = *d_it - norelax_dist; - if (all_faces_in(simplex, &filtration_value)) { - will_be_active = true; - sc.insert_simplex(simplex, filtration_value); - } - simplex.pop_back(); - // If norelax_dist is infinity, change to first omitted distance - if (*d_it < norelax_dist) - norelax_dist = *d_it; - } - return will_be_active; - } - - /** \brief Check if the facets of the k-dimensional simplex witnessed - * by witness witness_id are already in the complex. - * inserted_vertex is the handle of the (k+1)-th vertex witnessed by witness_id - */ - bool all_faces_in(std::vector& simplex, double* filtration_value) - { - std::vector< int > facet; - for (std::vector::iterator not_it = simplex.begin(); not_it != simplex.end(); ++not_it) - { - facet.clear(); - for (std::vector::iterator it = simplex.begin(); it != simplex.end(); ++it) - if (it != not_it) - facet.push_back(*it); - Simplex_handle facet_sh = sc.find(facet); - if (facet_sh == sc.null_simplex()) - return false; - else if (sc.filtration(facet_sh) > *filtration_value) - *filtration_value = sc.filtration(facet_sh); - } - return true; - } - - bool is_face(Simplex_handle face, Simplex_handle coface) - { - // vertex range is sorted in decreasing order - auto fvr = sc.simplex_vertex_range(face); - auto cfvr = sc.simplex_vertex_range(coface); - auto fv_it = fvr.begin(); - auto cfv_it = cfvr.begin(); - while (fv_it != fvr.end() && cfv_it != cfvr.end()) { - if (*fv_it < *cfv_it) - ++cfv_it; - else if (*fv_it == *cfv_it) { - ++cfv_it; - ++fv_it; - } - else - return false; - - } - return (fv_it == fvr.end()); - } - - // void erase_simplex(Simplex_handle sh) - // { - // auto siblings = sc.self_siblings(sh); - // auto oncles = siblings->oncles(); - // int prev_vertex = siblings->parent(); - // siblings->members().erase(sh->first); - // if (siblings->members().empty()) { - // typename typedef Simplicial_complex::Siblings Siblings; - // oncles->members().find(prev_vertex)->second.assign_children(new Siblings(oncles, prev_vertex)); - // assert(!sc.has_children(oncles->members().find(prev_vertex))); - // //delete siblings; - // } - - // } - - void elementary_collapse(Simplex_handle face_sh, Simplex_handle coface_sh) - { - erase_simplex(coface_sh); - erase_simplex(face_sh); - } - -public: - // void collapse(std::vector& simplices) - // { - // // Get a vector of simplex handles ordered by filtration value - // std::cout << sc << std::endl; - // //std::vector simplices; - // for (Simplex_handle sh: sc.filtration_simplex_range()) - // simplices.push_back(sh); - // // std::sort(simplices.begin(), - // // simplices.end(), - // // [&](Simplex_handle sh1, Simplex_handle sh2) - // // { double f1 = sc.filtration(sh1), f2 = sc.filtration(sh2); - // // return (f1 > f2) || (f1 >= f2 && sc.dimension(sh1) > sc.dimension(sh2)); }); - // // Double iteration - // auto face_it = simplices.rbegin(); - // while (face_it != simplices.rend() && sc.filtration(*face_it) != 0) { - // int coface_count = 0; - // auto reduced_coface = simplices.rbegin(); - // for (auto coface_it = simplices.rbegin(); coface_it != simplices.rend() && sc.filtration(*coface_it) != 0; ++coface_it) - // if (face_it != coface_it && is_face(*face_it, *coface_it)) { - // coface_count++; - // if (coface_count == 1) - // reduced_coface = coface_it; - // else - // break; - // } - // if (coface_count == 1) { - // std::cout << "Erase ( "; - // for (auto v: sc.simplex_vertex_range(*(--reduced_coface.base()))) - // std::cout << v << " "; - - // simplices.erase(--(reduced_coface.base())); - // //elementary_collapse(*face_it, *reduced_coface); - // std::cout << ") and then ( "; - // for (auto v: sc.simplex_vertex_range(*(--face_it.base()))) - // std::cout << v << " "; - // std::cout << ")\n"; - // simplices.erase(--((face_it++).base())); - // //face_it = simplices.rbegin(); - // //std::cout << "Size of vector: " << simplices.size() << "\n"; - // } - // else - // face_it++; - // } - // sc.initialize_filtration(); - // //std::cout << sc << std::endl; - // } - - template - void collapse(Dim_lists& dim_lists) - { - dim_lists.collapse(); - } - -private: - - /** Collapse recursively boundary faces of the given simplex - * if its filtration is bigger than alpha_lim. - */ - void rec_boundary_collapse(Simplex_handle sh, FT alpha_lim) - { - for (Simplex_handle face_it : sc.boundary_simplex_range()) { - - } - - } - -}; //class Weak_relaxed_witness_complex - -} // namespace witness_complex - -} // namespace Gudhi - -#endif diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index e732cb18..a16f9270 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -173,8 +173,6 @@ private: else aw_it++; } - std::cout << "Active witnesses after dim=" << k << " is finished: " << active_witnesses.size() << "\n"; - std::cout << complex << "\n"; k++; } return true; @@ -233,11 +231,8 @@ private: simplex.push_back(l_it->first); double filtration_value = 0; // if norelax_dist is infinite, relaxation is 0. - //std::cout << "landmark_id=" << l_it->first << " distance=" << l_it->second << "\n"; - // std::size_t landmark_id = l_it->first; - // double distance = l_it->second; if (l_it->second > norelax_dist2) - filtration_value = l_it->second - norelax_dist2; + filtration_value = l_it->second - norelax_dist2; if (all_faces_in(simplex, &filtration_value, sc)) { will_be_active = true; sc.insert_simplex(simplex, filtration_value); -- cgit v1.2.3 From d439da1345822fe25f58adb631f7d0cd9749ecfc Mon Sep 17 00:00:00 2001 From: skachano Date: Wed, 5 Oct 2016 17:06:15 +0000 Subject: Modified existing tests and examples git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1647 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: cd187fe5bc9174403aa5dc96c74871c697b3a5e6 --- src/Witness_complex/example/CMakeLists.txt | 10 +- .../example/example_witness_complex_off.cpp | 86 ++++++ .../example/example_witness_complex_sphere.cpp | 98 +++++++ src/Witness_complex/example/output.h | 308 --------------------- src/Witness_complex/example/output_tikz.h | 178 ------------ .../example/witness_complex_from_file.cpp | 106 ------- .../example/witness_complex_sphere.cpp | 99 ------- src/Witness_complex/test/CMakeLists.txt | 10 +- .../test/simple_witness_complex.cpp | 116 -------- .../test/test_simple_witness_complex.cpp | 103 +++++++ 10 files changed, 295 insertions(+), 819 deletions(-) create mode 100644 src/Witness_complex/example/example_witness_complex_off.cpp create mode 100644 src/Witness_complex/example/example_witness_complex_sphere.cpp delete mode 100644 src/Witness_complex/example/output.h delete mode 100644 src/Witness_complex/example/output_tikz.h delete mode 100644 src/Witness_complex/example/witness_complex_from_file.cpp delete mode 100644 src/Witness_complex/example/witness_complex_sphere.cpp delete mode 100644 src/Witness_complex/test/simple_witness_complex.cpp create mode 100644 src/Witness_complex/test/test_simple_witness_complex.cpp diff --git a/src/Witness_complex/example/CMakeLists.txt b/src/Witness_complex/example/CMakeLists.txt index 0054775d..469c9aac 100644 --- a/src/Witness_complex/example/CMakeLists.txt +++ b/src/Witness_complex/example/CMakeLists.txt @@ -1,17 +1,13 @@ cmake_minimum_required(VERSION 2.6) project(Witness_complex_examples) -# A simple example - add_executable( witness_complex_from_file witness_complex_from_file.cpp ) - add_test( witness_complex_from_bunny ${CMAKE_CURRENT_BINARY_DIR}/witness_complex_from_file ${CMAKE_SOURCE_DIR}/data/points/bunny_5000 100) if(CGAL_FOUND) if (NOT CGAL_VERSION VERSION_LESS 4.6.0) if (EIGEN3_FOUND) - add_executable ( witness_complex_sphere witness_complex_sphere.cpp ) - target_link_libraries(witness_complex_sphere ${Boost_SYSTEM_LIBRARY} ${CGAL_LIBRARY}) - add_test( witness_complex_sphere_10 ${CMAKE_CURRENT_BINARY_DIR}/witness_complex_sphere 10) - add_executable ( relaxed_witness_persistence relaxed_witness_persistence.cpp ) + add_executable( Witness_complex_example_off example_witness_complex_off.cpp ) + add_executable ( Witness_complex_example_sphere example_witness_complex_sphere.cpp ) + #add_executable ( relaxed_witness_persistence relaxed_witness_persistence.cpp ) endif(EIGEN3_FOUND) endif (NOT CGAL_VERSION VERSION_LESS 4.6.0) endif() diff --git a/src/Witness_complex/example/example_witness_complex_off.cpp b/src/Witness_complex/example/example_witness_complex_off.cpp new file mode 100644 index 00000000..6b0060d9 --- /dev/null +++ b/src/Witness_complex/example/example_witness_complex_off.cpp @@ -0,0 +1,86 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#include +#include + +#include +#include +#include +#include + +#include + +#include +#include +#include +#include +#include + +typedef CGAL::Epick_d K; +typedef typename K::Point_d Point_d; +typedef typename Gudhi::witness_complex::Witness_complex Witness_complex; +typedef std::vector< Vertex_handle > typeVectorVertex; +typedef std::vector< Point_d > Point_vector; + +int main(int argc, char * const argv[]) { + if (argc != 4) { + std::cerr << "Usage: " << argv[0] + << " path_to_point_file nbL alpha^2\n"; + return 0; + } + + std::string file_name = argv[1]; + int nbL = atoi(argv[2]); + double alpha2 = atof(argv[3]); + clock_t start, end; + + // Construct the Simplex Tree + Gudhi::Simplex_tree<> simplex_tree; + + // Read the point file + Point_vector point_vector, landmarks; + Gudhi::Points_off_reader off_reader(file_name); + if (!off_reader.is_valid()) { + std::cerr << "Witness complex - Unable to read file " << file_name << "\n"; + exit(-1); // ----- >> + } + point_vector = Point_vector(off_reader.get_point_cloud()); + + std::cout << "Successfully read " << point_vector.size() << " points.\n"; + std::cout << "Ambient dimension is " << point_vector[0].dimension() << ".\n"; + + // Choose landmarks + Gudhi::subsampling::pick_n_random_points(point_vector, nbL, std::back_inserter(landmarks)); + + // Compute witness complex + start = clock(); + Witness_complex witness_complex(landmarks.begin(), + landmarks.end(), + point_vector.begin(), + point_vector.end()); + witness_complex.create_complex(simplex_tree, alpha2); + end = clock(); + std::cout << "Witness complex took " + << static_cast(end - start) / CLOCKS_PER_SEC << " s. \n"; + std::cout << "Number of simplices is: " << simplex_tree.num_simplices() << "\n"; +} diff --git a/src/Witness_complex/example/example_witness_complex_sphere.cpp b/src/Witness_complex/example/example_witness_complex_sphere.cpp new file mode 100644 index 00000000..8e2c5ff6 --- /dev/null +++ b/src/Witness_complex/example/example_witness_complex_sphere.cpp @@ -0,0 +1,98 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ +#define BOOST_PARAMETER_MAX_ARITY 12 + + +#include +#include + +#include +#include +#include +#include + +#include + +#include +#include +#include +#include +#include +#include + +#include "generators.h" + +/** Write a gnuplot readable file. + * Data range is a random access range of pairs (arg, value) + */ +template < typename Data_range > +void write_data(Data_range & data, std::string filename) { + std::ofstream ofs(filename, std::ofstream::out); + for (auto entry : data) + ofs << entry.first << ", " << entry.second << "\n"; + ofs.close(); +} + +int main(int argc, char * const argv[]) { + typedef Gudhi::witness_complex::Witness_complex> Witness_complex; + + if (argc != 2) { + std::cerr << "Usage: " << argv[0] + << " number_of_landmarks \n"; + return 0; + } + + int number_of_landmarks = atoi(argv[1]); + clock_t start, end; + + std::vector< std::pair > l_time; + + // Read the point file + for (int nbP = 500; nbP < 10000; nbP += 500) { + // Construct the Simplex Tree + Gudhi::Simplex_tree<> simplex_tree; + Point_Vector point_vector, landmarks; + generate_points_sphere(point_vector, nbP, 4); + std::cout << "Successfully generated " << point_vector.size() << " points.\n"; + std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; + + // Choose landmarks + start = clock(); + Gudhi::subsampling::pick_n_random_points(point_vector, number_of_landmarks, std::back_inserter(landmarks)); + + // Compute witness complex + Witness_complex witness_complex(landmarks.begin(), + landmarks.end(), + point_vector.begin(), + point_vector.end()); + witness_complex.create_complex(simplex_tree, 0); + end = clock(); + double time = static_cast(end - start) / CLOCKS_PER_SEC; + std::cout << "Witness complex for " << number_of_landmarks << " landmarks took " + << time << " s. \n"; + //assert(1 == 0); + //std::cout << simplex_tree << "\n"; + std::cout << "Number of simplices is: " << simplex_tree.num_simplices() << "\n"; + l_time.push_back(std::make_pair(nbP, time)); + } + write_data(l_time, "w_time.dat"); +} diff --git a/src/Witness_complex/example/output.h b/src/Witness_complex/example/output.h deleted file mode 100644 index d3f534af..00000000 --- a/src/Witness_complex/example/output.h +++ /dev/null @@ -1,308 +0,0 @@ -#ifndef OUTPUT_H -#define OUTPUT_H - -#include -#include -#include - -#include - -#include -#include - -//typename Gudhi::Witness_complex<> Witness_complex; - -typedef CGAL::Epick_d K; -typedef K::Point_d Point_d; -typedef std::vector Point_Vector; -typedef CGAL::Delaunay_triangulation Delaunay_triangulation; - -/** \brief Write the table of the nearest landmarks to each witness - * to a file. - */ -template -void write_wl( std::string file_name, std::vector< std::vector > & WL) -{ - std::ofstream ofs (file_name, std::ofstream::out); - for (auto w : WL) - { - for (auto l: w) - ofs << l << " "; - ofs << "\n"; - } - ofs.close(); -} - -/** \brief Write the coordinates of points in points to a file. - * - */ -void write_points( std::string file_name, std::vector< Point_d > & points) -{ - std::ofstream ofs (file_name, std::ofstream::out); - for (auto w : points) - { - for (auto it = w.cartesian_begin(); it != w.cartesian_end(); ++it) - ofs << *it << " "; - ofs << "\n"; - } - ofs.close(); -} - -/** Write edges of a witness complex in a file. - * The format of an edge is coordinates of u \n coordinates of v \n\n\n - * This format is compatible with gnuplot - */ -template< typename STree > -void write_edges(std::string file_name, STree& witness_complex, Point_Vector& landmarks) -{ - std::ofstream ofs (file_name, std::ofstream::out); - for (auto u: witness_complex.complex_vertex_range()) - for (auto v: witness_complex.complex_vertex_range()) - { - std::vector edge = {u,v}; - if (u < v && witness_complex.find(edge) != witness_complex.null_simplex()) - { - for (auto it = landmarks[u].cartesian_begin(); it != landmarks[u].cartesian_end(); ++it) - ofs << *it << " "; - ofs << "\n"; - for (auto it = landmarks[v].cartesian_begin(); it != landmarks[v].cartesian_end(); ++it) - ofs << *it << " "; - ofs << "\n\n\n"; - } - } - ofs.close(); -} - -/** \brief Write triangles (tetrahedra in 3d) of a simplicial complex in a file, compatible with medit. - * `landmarks_ind` represents the set of landmark indices in W - * `st` is the Simplex_tree to be visualized, - * `shr` is the Simplex_handle_range of simplices in `st` to be visualized - * `is2d` should be true if the simplicial complex is 2d, false if 3d - * `l_is_v` = landmark is vertex - */ -template -void write_witness_mesh(Point_Vector& W, std::vector& landmarks_ind, STree& st, SimplexHandleRange const & shr, bool is2d, bool l_is_v, std::string file_name = "witness.mesh") -{ - std::ofstream ofs (file_name, std::ofstream::out); - if (is2d) - ofs << "MeshVersionFormatted 1\nDimension 2\n"; - else - ofs << "MeshVersionFormatted 1\nDimension 3\n"; - - if (!l_is_v) - ofs << "Vertices\n" << W.size() << "\n"; - else - ofs << "Vertices\n" << landmarks_ind.size() << "\n"; - - if (l_is_v) - for (auto p_it : landmarks_ind) { - for (auto coord = W[p_it].cartesian_begin(); coord != W[p_it].cartesian_end() && coord != W[p_it].cartesian_begin()+3 ; ++coord) - ofs << *coord << " "; - ofs << "508\n"; - } - else - for (auto p_it : W) { - for (auto coord = p_it.cartesian_begin(); coord != p_it.cartesian_end() && coord != p_it.cartesian_begin()+3 ; ++coord) - ofs << *coord << " "; - ofs << "508\n"; - } - - // int num_triangles = W.size(), num_tetrahedra = 0; - int num_edges = 0, num_triangles = 0, num_tetrahedra = 0; - if (!l_is_v) { - for (auto sh_it : shr) - if (st.dimension(sh_it) == 1) - num_edges++; - else if (st.dimension(sh_it) == 2) - num_triangles++; - else if (st.dimension(sh_it) == 3) - num_tetrahedra++; - ofs << "Edges " << num_edges << "\n"; - for (auto sh_it : shr) { - if (st.dimension(sh_it) == 1) { - for (auto v_it : st.simplex_vertex_range(sh_it)) - ofs << landmarks_ind[v_it]+1 << " "; - ofs << "200\n"; - } - } - ofs << "Triangles " << num_triangles << "\n"; - for (unsigned i = 0; i < W.size(); ++i) - ofs << i << " " << i << " " << i << " " << "508\n"; - for (auto sh_it : shr) - { - if (st.dimension(sh_it) == 2) { - for (auto v_it : st.simplex_vertex_range(sh_it)) - ofs << landmarks_ind[v_it]+1 << " "; - ofs << "508\n"; - } - } - ofs << "Tetrahedra " << num_tetrahedra << "\n"; - for (auto sh_it : shr) - { - if (st.dimension(sh_it) == 3) { - for (auto v_it : st.simplex_vertex_range(sh_it)) - ofs << landmarks_ind[v_it]+1 << " "; - ofs << "250\n"; - } - } - } - else { - for (auto sh_it : shr) - if (st.dimension(sh_it) == 1) - num_edges++; - else if (st.dimension(sh_it) == 2) - num_triangles++; - else if (st.dimension(sh_it) == 3) - num_tetrahedra++; - ofs << "Edges " << num_edges << "\n"; - for (auto sh_it : shr) { - if (st.dimension(sh_it) == 1) { - for (auto v_it : st.simplex_vertex_range(sh_it)) - ofs << v_it+1 << " "; - ofs << "200\n"; - } - } - ofs << "Triangles " << num_triangles << "\n"; - for (auto sh_it : shr) - { - if (st.dimension(sh_it) == 2) { - for (auto v_it : st.simplex_vertex_range(sh_it)) - ofs << v_it+1 << " "; - ofs << "508\n"; - } - } - ofs << "Tetrahedra " << num_tetrahedra << "\n"; - for (auto sh_it : shr) - { - if (st.dimension(sh_it) == 3) { - for (auto v_it : st.simplex_vertex_range(sh_it)) - ofs << v_it+1 << " "; - ofs << "250\n"; - } - } - } - - ofs << "End\n"; - /* - else - { - ofs << "Tetrahedra " << t.number_of_finite_full_cells()+1 << "\n"; - for (auto fc_it = t.full_cells_begin(); fc_it != t.full_cells_end(); ++fc_it) - { - if (t.is_infinite(fc_it)) - continue; - for (auto vh_it = fc_it->vertices_begin(); vh_it != fc_it->vertices_end(); ++vh_it) - ofs << index_of_vertex[*vh_it] << " "; - ofs << "508\n"; - } - ofs << nbV << " " << nbV << " " << nbV << " " << nbV << " " << 208 << "\n"; - ofs << "End\n"; - } - */ - ofs.close(); -} - -void write_witness_mesh(Point_Vector& W, std::vector& landmarks_ind, Gudhi::Simplex_tree<>& st, bool is2d, bool l_is_v, std::string file_name = "witness.mesh") -{ - write_witness_mesh(W, landmarks_ind, st, st.complex_simplex_range(), is2d, l_is_v, file_name); -} - -/** \brief Write triangles (tetrahedra in 3d) of a Delaunay - * triangulation in a file, compatible with medit. - */ -void write_delaunay_mesh(Delaunay_triangulation& t, const Point_d& p, bool is2d) -{ - std::ofstream ofs ("delaunay.mesh", std::ofstream::out); - int nbV = t.number_of_vertices()+1; - if (is2d) - ofs << "MeshVersionFormatted 1\nDimension 2\n"; - else - ofs << "MeshVersionFormatted 1\nDimension 3\n"; - ofs << "Vertices\n" << nbV << "\n"; - int ind = 1; //index of a vertex - std::map index_of_vertex; - for (auto v_it = t.vertices_begin(); v_it != t.vertices_end(); ++v_it) - { - if (t.is_infinite(v_it)) - continue; - // Add maximum 3 coordinates - for (auto coord = v_it->point().cartesian_begin(); coord != v_it->point().cartesian_end() && coord != v_it->point().cartesian_begin()+3; ++coord) - ofs << *coord << " "; - ofs << "508\n"; - index_of_vertex[v_it] = ind++; - } - for (auto coord = p.cartesian_begin(); coord != p.cartesian_end(); ++coord) - ofs << *coord << " "; - ofs << "208\n"; - if (is2d) - { - ofs << "Triangles " << t.number_of_finite_full_cells()+1 << "\n"; - for (auto fc_it = t.full_cells_begin(); fc_it != t.full_cells_end(); ++fc_it) - { - if (t.is_infinite(fc_it)) - continue; - for (auto vh_it = fc_it->vertices_begin(); vh_it != fc_it->vertices_end(); ++vh_it) - ofs << index_of_vertex[*vh_it] << " "; - ofs << "508\n"; - } - ofs << nbV << " " << nbV << " " << nbV << " " << 208 << "\n"; - ofs << "End\n"; - } - else if (p.size() == 3) - { - ofs << "Tetrahedra " << t.number_of_finite_full_cells()+1 << "\n"; - for (auto fc_it = t.full_cells_begin(); fc_it != t.full_cells_end(); ++fc_it) - { - if (t.is_infinite(fc_it)) - continue; - for (auto vh_it = fc_it->vertices_begin(); vh_it != fc_it->vertices_end(); ++vh_it) - ofs << index_of_vertex[*vh_it] << " "; - ofs << "508\n"; - } - ofs << nbV << " " << nbV << " " << nbV << " " << nbV << " " << 208 << "\n"; - ofs << "End\n"; - } - else if (p.size() == 4) - { - ofs << "Tetrahedra " << 5*(t.number_of_finite_full_cells())+1 << "\n"; - for (auto fc_it = t.full_cells_begin(); fc_it != t.full_cells_end(); ++fc_it) - { - if (t.is_infinite(fc_it)) - continue; - for (auto vh_it = fc_it->vertices_begin(); vh_it != fc_it->vertices_end(); ++vh_it) - { - for (auto vh_it2 = fc_it->vertices_begin(); vh_it2 != fc_it->vertices_end(); ++vh_it2) - if (vh_it != vh_it2) - ofs << index_of_vertex[*vh_it2] << " "; - ofs << "508\n"; - } - } - ofs << nbV << " " << nbV << " " << nbV << " " << nbV << " " << 208 << "\n"; - ofs << "End\n"; - } - ofs.close(); -} - -/////////////////////////////////////////////////////////////////////// -// PRINT VECTOR -/////////////////////////////////////////////////////////////////////// - -template -void print_vector(std::vector v) -{ - std::cout << "["; - if (!v.empty()) - { - std::cout << *(v.begin()); - for (auto it = v.begin()+1; it != v.end(); ++it) - { - std::cout << ","; - std::cout << *it; - } - } - std::cout << "]"; -} - - -#endif diff --git a/src/Witness_complex/example/output_tikz.h b/src/Witness_complex/example/output_tikz.h deleted file mode 100644 index 281c65b7..00000000 --- a/src/Witness_complex/example/output_tikz.h +++ /dev/null @@ -1,178 +0,0 @@ -#ifndef OUTPUT_TIKZ_H -#define OUTPUT_TIKZ_H - -#include -#include -#include -#include -#include - -typedef double FT; - - -//////////////////AUX///////////////////// - -void write_preamble(std::ofstream& ofs) -{ - ofs << "\\documentclass{standalone}\n" - << "\\usepackage{tikz}\n\n" - << "\\begin{document}\n" - << "\\begin{tikzpicture}\n"; -} - -void write_end(std::ofstream& ofs) -{ - ofs << "\\end{tikzpicture}\n" - << "\\end{document}"; -} - - -/////////////////MAIN////////////////////// - -void write_tikz_plot(std::vector data, std::string filename) -{ - int n = data.size(); - FT vmax = *(std::max_element(data.begin(), data.end())); - //std::cout << std::log10(vmax) << " " << std::floor(std::log10(vmax)); - - FT order10 = pow(10,std::floor(std::log10(vmax))); - int digit = std::floor( vmax / order10) + 1; - if (digit == 4 || digit == 6) digit = 5; - if (digit > 6) digit = 10; - FT plot_max = digit*order10; - std::cout << plot_max << " " << vmax; - FT hstep = 10.0/(n-1); - FT wstep = 10.0 / plot_max; - - std::cout << "(eps_max-eps_min)/(N-48) = " << (vmax-*data.begin())/(data.size()-48) << "\n"; - std::ofstream ofs(filename, std::ofstream::out); - - ofs << - "\\documentclass{standalone}\n" << - "\\usepackage[utf8]{inputenc}\n" << - "\\usepackage{amsmath}\n" << - "\\usepackage{tikz}\n\n" << - "\\begin{document}\n" << - "\\begin{tikzpicture}\n"; - - ofs << "\\draw[->] (0,0) -- (0,11);" << std::endl << - "\\draw[->] (0,0) -- (11,0);" << std::endl << - "\\foreach \\i in {1,...,10}" << std::endl << - "\\draw (0,\\i) -- (-0.05,\\i);" << std::endl << - "\\foreach \\i in {1,...,10}" << std::endl << - "\\draw (\\i,0) -- (\\i,-0.05);" << std::endl << std::endl << - - "\\foreach \\i in {1,...,10}" << std::endl << - "\\draw[dashed] (-0.05,\\i) -- (11,\\i);" << std::endl << std::endl << - - "\\node at (-0.5,11) {$*$}; " << std::endl << - "\\node at (11,-0.5) {$*$}; " << std::endl << - "\\node at (-0.5,-0.5) {0}; " << std::endl << - "\\node at (-0.5,10) {" << plot_max << "}; " << std::endl << - "%\\node at (10,-0.5) {2}; " << std::endl; - - ofs << "\\draw[red] (0," << wstep*data[0] << ")"; - for (int i = 1; i < n; ++i) - ofs << " -- (" << hstep*i << "," << wstep*data[i] << ")"; - ofs << ";\n"; - - ofs << - "\\end{tikzpicture}\n" << - "\\end{document}"; - - ofs.close(); -} - - -// A little script to make a tikz histogram of epsilon distribution -// Returns the average epsilon -void write_histogram(std::vector histo, std::string file_name = "histogram.tikz", std::string xaxis = "$\\epsilon/\\epsilon_{max}$", std::string yaxis = "$\\epsilon$", FT max_x = 1) -{ - int n = histo.size(); - - std::ofstream ofs (file_name, std::ofstream::out); - FT barwidth = 20.0/n; - FT max_value = *(std::max_element(histo.begin(), histo.end())); - std::cout << max_value << std::endl; - FT ten_power = pow(10, ceil(log10(max_value))); - FT max_histo = ten_power; - if (max_value/ten_power > 1) { - if (max_value/ten_power < 2) - max_histo = 0.2*ten_power; - else if (max_value/ten_power < 5) - max_histo = 0.5*ten_power; - } - std::cout << ceil(log10(max_value)) << std::endl << max_histo << std::endl; - FT unitht = max_histo/10.0; - write_preamble(ofs); - - ofs << "\\draw[->] (0,0) -- (0,11);\n" << - "\\draw[->] (0,0) -- (21,0);\n" << - "\\foreach \\i in {1,...,10}\n" << - "\\draw (0,\\i) -- (-0.1,\\i);\n" << - "\\foreach \\i in {1,...,20}\n" << - "\\draw (\\i,0) -- (\\i,-0.1);\n" << - - "\\node at (-1,11) {" << yaxis << "};\n" << - "\\node at (22,-1) {" << xaxis << "};\n" << - "\\node at (-0.5,-0.5) {0};\n" << - "\\node at (-0.5,10) {" << max_histo << "};\n" << - "\\node at (20,-0.5) {" << max_x << "};\n"; - - for (int i = 0; i < n; ++i) - ofs << "\\draw (" << barwidth*i << "," << histo[i]/unitht << ") -- (" - << barwidth*(i+1) << "," << histo[i]/unitht << ") -- (" - << barwidth*(i+1) << ",0) -- (" << barwidth*i << ",0) -- cycle;\n"; - - write_end(ofs); - ofs.close(); -} - -struct Pers_interval { - double alpha_start, alpha_end; - int dim; - Pers_interval(double alpha_start_, double alpha_end_, int dim_) - : alpha_start(alpha_start_), alpha_end(alpha_end_), dim(dim_) - {} -}; - -void write_barcodes(std::string in_file, double alpha2, std::string out_file = "barcodes.tikz.tex") -{ - std::ifstream ifs(in_file, std::ios::in); - std::string line; - std::vector pers_intervals; - while (getline(ifs, line)) { - int p, dim; - double alpha_start, alpha_end; - std::istringstream iss(line); - iss >> p >> dim >> alpha_start >> alpha_end; - if (alpha_start != alpha_end) { - if (alpha_end < alpha_start) - alpha_end = alpha2; - pers_intervals.push_back(Pers_interval(alpha_start, alpha_end, dim)); - } - } - ifs.close(); - std::ofstream ofs (out_file, std::ofstream::out); - write_preamble(ofs); - double barwidth = 0.01; - int i = 0; - for (auto interval: pers_intervals) { - std::string color = "black"; - switch (interval.dim) { - case 0: color = "orange"; break; - case 1: color = "red"; break; - case 2: color = "blue"; break; - case 3: color = "green"; break; - case 4: color = "yellow"; break; - default: color = "orange"; break; - } - ofs << "\\fill[" << color << "] (" << interval.alpha_start << "," << barwidth*i << ") rectangle (" - << interval.alpha_end << "," << barwidth*(i+1) <<");\n"; - i++; - } - write_end(ofs); - ofs.close(); -} - -#endif diff --git a/src/Witness_complex/example/witness_complex_from_file.cpp b/src/Witness_complex/example/witness_complex_from_file.cpp deleted file mode 100644 index e5859b2a..00000000 --- a/src/Witness_complex/example/witness_complex_from_file.cpp +++ /dev/null @@ -1,106 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#include -#include - -#include -#include -#include -#include - -#include - -#include -#include -#include -#include -#include - -typedef CGAL::Epick_d K; -typedef typename K::Point_d Point_d; -typedef typename Gudhi::witness_complex::Witness_complex Witness_complex; -typedef std::vector< Vertex_handle > typeVectorVertex; -typedef std::vector< Point_d > Point_vector; - -/** - * \brief Customized version of read_points - * which takes into account a possible nbP first line - * - */ -inline void -read_points_cust(std::string file_name, Point_vector & points) { - std::ifstream in_file(file_name.c_str(), std::ios::in); - if (!in_file.is_open()) { - std::cerr << "Unable to open file " << file_name << std::endl; - return; - } - std::string line; - double x; - while (getline(in_file, line)) { - std::vector< double > point; - std::istringstream iss(line); - while (iss >> x) { - point.push_back(x); - } - if (point.size() != 1) - points.push_back(Point_d(point)); - } - in_file.close(); -} - -int main(int argc, char * const argv[]) { - if (argc != 4) { - std::cerr << "Usage: " << argv[0] - << " path_to_point_file nbL alpha^2\n"; - return 0; - } - - std::string file_name = argv[1]; - int nbL = atoi(argv[2]); - double alpha2 = atof(argv[3]); - clock_t start, end; - - // Construct the Simplex Tree - Gudhi::Simplex_tree<> simplex_tree; - - // Read the point file - Point_vector point_vector, landmarks; - read_points_cust(file_name, point_vector); - std::cout << "Successfully read " << point_vector.size() << " points.\n"; - std::cout << "Ambient dimension is " << point_vector[0].dimension() << ".\n"; - - // Choose landmarks - Gudhi::subsampling::pick_n_random_points(point_vector, nbL, std::back_inserter(landmarks)); - - // Compute witness complex - start = clock(); - Witness_complex witness_complex(landmarks.begin(), - landmarks.end(), - point_vector.begin(), - point_vector.end()); - witness_complex.create_complex(simplex_tree, alpha2); - end = clock(); - std::cout << "Witness complex took " - << static_cast(end - start) / CLOCKS_PER_SEC << " s. \n"; - std::cout << "Number of simplices is: " << simplex_tree.num_simplices() << "\n"; -} diff --git a/src/Witness_complex/example/witness_complex_sphere.cpp b/src/Witness_complex/example/witness_complex_sphere.cpp deleted file mode 100644 index fe7f628f..00000000 --- a/src/Witness_complex/example/witness_complex_sphere.cpp +++ /dev/null @@ -1,99 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ -#define BOOST_PARAMETER_MAX_ARITY 12 - - -#include -#include - -#include -#include -#include -#include -#include - -#include - -#include -#include -#include -#include -#include -#include - -#include "generators.h" - -/** Write a gnuplot readable file. - * Data range is a random access range of pairs (arg, value) - */ -template < typename Data_range > -void write_data(Data_range & data, std::string filename) { - std::ofstream ofs(filename, std::ofstream::out); - for (auto entry : data) - ofs << entry.first << ", " << entry.second << "\n"; - ofs.close(); -} - -int main(int argc, char * const argv[]) { - typedef Gudhi::witness_complex::Witness_complex> Witness_complex; - - if (argc != 2) { - std::cerr << "Usage: " << argv[0] - << " number_of_landmarks \n"; - return 0; - } - - int number_of_landmarks = atoi(argv[1]); - clock_t start, end; - - std::vector< std::pair > l_time; - - // Read the point file - for (int nbP = 500; nbP < 10000; nbP += 500) { - // Construct the Simplex Tree - Gudhi::Simplex_tree<> simplex_tree; - Point_Vector point_vector, landmarks; - generate_points_sphere(point_vector, nbP, 4); - std::cout << "Successfully generated " << point_vector.size() << " points.\n"; - std::cout << "Ambient dimension is " << point_vector[0].size() << ".\n"; - - // Choose landmarks - start = clock(); - Gudhi::subsampling::pick_n_random_points(point_vector, number_of_landmarks, std::back_inserter(landmarks)); - - // Compute witness complex - Witness_complex witness_complex(landmarks.begin(), - landmarks.end(), - point_vector.begin(), - point_vector.end()); - witness_complex.create_complex(simplex_tree, 0.1); - end = clock(); - double time = static_cast(end - start) / CLOCKS_PER_SEC; - std::cout << "Witness complex for " << number_of_landmarks << " landmarks took " - << time << " s. \n"; - //assert(1 == 0); - //std::cout << simplex_tree << "\n"; - std::cout << "Number of simplices is: " << simplex_tree.num_simplices() << "\n"; - l_time.push_back(std::make_pair(nbP, time)); - } - write_data(l_time, "w_time.dat"); -} diff --git a/src/Witness_complex/test/CMakeLists.txt b/src/Witness_complex/test/CMakeLists.txt index bb55b0f1..751f533c 100644 --- a/src/Witness_complex/test/CMakeLists.txt +++ b/src/Witness_complex/test/CMakeLists.txt @@ -10,14 +10,14 @@ if (GPROF_PATH) set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -pg") endif() -add_executable ( simple_witness_complexUT simple_witness_complex.cpp ) -target_link_libraries(simple_witness_complexUT ${Boost_SYSTEM_LIBRARY} ${Boost_UNIT_TEST_FRAMEWORK_LIBRARY}) +add_executable ( Witness_complex_test_simple_witness_complex test_simple_witness_complex.cpp ) +target_link_libraries(Witness_complex_test_simple_witness_complex ${Boost_SYSTEM_LIBRARY} ${Boost_UNIT_TEST_FRAMEWORK_LIBRARY}) # Unitary tests definition and xml result file generation -add_test(NAME simple_witness_complexUT - COMMAND ${CMAKE_CURRENT_BINARY_DIR}/simple_witness_complexUT +add_test(NAME simple_witness_complex + COMMAND ${CMAKE_CURRENT_BINARY_DIR}/Witness_complex_test_simple_witness_complex # XML format for Jenkins xUnit plugin - --log_format=XML --log_sink=${CMAKE_SOURCE_DIR}/simple_witness_complexUT.xml --log_level=test_suite --report_level=no) + --log_format=XML --log_sink=${CMAKE_SOURCE_DIR}/Witness_complex_test_simple_witness_complex.xml --log_level=test_suite --report_level=no) add_executable ( witness_complex_pointsUT witness_complex_points.cpp ) target_link_libraries(witness_complex_pointsUT ${Boost_SYSTEM_LIBRARY} ${Boost_UNIT_TEST_FRAMEWORK_LIBRARY}) diff --git a/src/Witness_complex/test/simple_witness_complex.cpp b/src/Witness_complex/test/simple_witness_complex.cpp deleted file mode 100644 index 0c2c3710..00000000 --- a/src/Witness_complex/test/simple_witness_complex.cpp +++ /dev/null @@ -1,116 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2016 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#define BOOST_TEST_DYN_LINK -#define BOOST_TEST_MODULE "simple_witness_complex" -#include -#include - -#include - -#include -#include -#include - -#include -#include -#include - -typedef Gudhi::Simplex_tree<> Simplex_tree; -typedef std::vector< Vertex_handle > typeVectorVertex; -typedef CGAL::Epick_d Kernel; -typedef typename Kernel::FT FT; -typedef typename Kernel::Point_d Point_d; -typedef Gudhi::witness_complex::Witness_complex WitnessComplex; -typedef Gudhi::witness_complex::Strong_witness_complex StrongWitnessComplex; - -/* All landmarks and witnesses are taken on the grid in the following manner. - LWLWL 2W4W7 - WW.WW WW.WW - L...L 1...6 - WW.WW WW.WW - LWLWL 0W3W5 - - Witness complex consists of 8 vertices, 12 edges and 4 triangles - */ - -BOOST_AUTO_TEST_CASE(simple_witness_complex) { - Simplex_tree complex, relaxed_complex, strong_relaxed_complex; - - std::vector witnesses, landmarks; - - landmarks.push_back(Point_d(std::vector{-2,-2})); - landmarks.push_back(Point_d(std::vector{-2, 0})); - landmarks.push_back(Point_d(std::vector{-2, 2})); - landmarks.push_back(Point_d(std::vector{ 0,-2})); - landmarks.push_back(Point_d(std::vector{ 0, 2})); - landmarks.push_back(Point_d(std::vector{ 2,-2})); - landmarks.push_back(Point_d(std::vector{ 2, 0})); - landmarks.push_back(Point_d(std::vector{ 2, 2})); - witnesses.push_back(Point_d(std::vector{-2,-1})); - witnesses.push_back(Point_d(std::vector{-2, 1})); - witnesses.push_back(Point_d(std::vector{-1,-2})); - witnesses.push_back(Point_d(std::vector{-1,-1})); - witnesses.push_back(Point_d(std::vector{-1, 1})); - witnesses.push_back(Point_d(std::vector{-1, 2})); - witnesses.push_back(Point_d(std::vector{ 1,-2})); - witnesses.push_back(Point_d(std::vector{ 1,-1})); - witnesses.push_back(Point_d(std::vector{ 1, 1})); - witnesses.push_back(Point_d(std::vector{ 1, 2})); - witnesses.push_back(Point_d(std::vector{ 2,-1})); - witnesses.push_back(Point_d(std::vector{ 2, 1})); - - // landmarks.push_back(Point_d(std::vector{1,0})); - // landmarks.push_back(Point_d(std::vector{0,0})); - // landmarks.push_back(Point_d(std::vector{0,1})); - // witnesses.push_back(Point_d(std::vector{1,0})); - - WitnessComplex witness_complex(landmarks.begin(), - landmarks.end(), - witnesses.begin(), - witnesses.end()); - // witness_complex.create_complex(complex, 0); - - //std::cout << complex << "\n"; - - // BOOST_CHECK(complex.num_simplices() == 24); - - // witness_complex.create_complex(relaxed_complex, 8.01); - - // std::cout << "Num_simplices: " << relaxed_complex.num_simplices() << "\n"; - // std::cout << relaxed_complex << "\n"; - - StrongWitnessComplex strong_witness_complex(landmarks.begin(), - landmarks.end(), - witnesses.begin(), - witnesses.end()); - - strong_witness_complex.create_complex(strong_relaxed_complex, 9.1); - std::cout << "Num_simplices: " << strong_relaxed_complex.num_simplices() << "\n"; - std::cout << strong_relaxed_complex << "\n"; - - //BOOST_CHECK(relaxed_complex.num_simplices() == 24); - - //BOOST_CHECK(witnessComplex.is_witness_complex(knn, false)); - - -} diff --git a/src/Witness_complex/test/test_simple_witness_complex.cpp b/src/Witness_complex/test/test_simple_witness_complex.cpp new file mode 100644 index 00000000..abd0a0dd --- /dev/null +++ b/src/Witness_complex/test/test_simple_witness_complex.cpp @@ -0,0 +1,103 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2016 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#define BOOST_TEST_DYN_LINK +#define BOOST_TEST_MODULE "simple_witness_complex" +#include +#include + +#include + +#include +#include +#include + +#include +#include +#include + +typedef Gudhi::Simplex_tree<> Simplex_tree; +typedef std::vector< Vertex_handle > typeVectorVertex; +typedef CGAL::Epick_d Kernel; +typedef typename Kernel::FT FT; +typedef typename Kernel::Point_d Point_d; +typedef Gudhi::witness_complex::Witness_complex WitnessComplex; +typedef Gudhi::witness_complex::Strong_witness_complex StrongWitnessComplex; + +/* All landmarks and witnesses are taken on the grid in the following manner. + LWLWL + WW.WW + L...L + WW.WW + LWLWL + + Witness complex consists of 8 vertices, 12 edges and 4 triangles + */ + +BOOST_AUTO_TEST_CASE(simple_witness_complex) { + Simplex_tree complex, relaxed_complex, strong_relaxed_complex; + + std::vector witnesses, landmarks; + + landmarks.push_back(Point_d(std::vector{-2,-2})); + landmarks.push_back(Point_d(std::vector{-2, 0})); + landmarks.push_back(Point_d(std::vector{-2, 2})); + landmarks.push_back(Point_d(std::vector{ 0,-2})); + landmarks.push_back(Point_d(std::vector{ 0, 2})); + landmarks.push_back(Point_d(std::vector{ 2,-2})); + landmarks.push_back(Point_d(std::vector{ 2, 0})); + landmarks.push_back(Point_d(std::vector{ 2, 2})); + witnesses.push_back(Point_d(std::vector{-2,-1})); + witnesses.push_back(Point_d(std::vector{-2, 1})); + witnesses.push_back(Point_d(std::vector{-1,-2})); + witnesses.push_back(Point_d(std::vector{-1,-1})); + witnesses.push_back(Point_d(std::vector{-1, 1})); + witnesses.push_back(Point_d(std::vector{-1, 2})); + witnesses.push_back(Point_d(std::vector{ 1,-2})); + witnesses.push_back(Point_d(std::vector{ 1,-1})); + witnesses.push_back(Point_d(std::vector{ 1, 1})); + witnesses.push_back(Point_d(std::vector{ 1, 2})); + witnesses.push_back(Point_d(std::vector{ 2,-1})); + witnesses.push_back(Point_d(std::vector{ 2, 1})); + + WitnessComplex witness_complex(landmarks.begin(), + landmarks.end(), + witnesses.begin(), + witnesses.end()); + witness_complex.create_complex(complex, 0); + + BOOST_CHECK(complex.num_simplices() == 24); + + witness_complex.create_complex(relaxed_complex, 8.01); + + BOOST_CHECK(relaxed_complex.num_simplices() == 239); + + StrongWitnessComplex strong_witness_complex(landmarks.begin(), + landmarks.end(), + witnesses.begin(), + witnesses.end()); + + strong_witness_complex.create_complex(strong_relaxed_complex, 9.1); + + BOOST_CHECK(strong_relaxed_complex.num_simplices() == 239); + +} -- cgit v1.2.3 From 07e6b3d053144329a03bf7c8f52538d221e6ea6d Mon Sep 17 00:00:00 2001 From: skachano Date: Thu, 6 Oct 2016 18:11:50 +0000 Subject: Added persistence examples git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1670 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: c7762be9b79ba70cca84a378915c2deef13211fd --- src/Witness_complex/example/CMakeLists.txt | 7 +- .../example/example_strong_witness_persistence.cpp | 172 +++++++++++++++++++++ .../example/example_witness_complex_off.cpp | 3 +- .../example_witness_complex_persistence.cpp | 172 +++++++++++++++++++++ .../include/gudhi/Strong_witness_complex.h | 12 +- .../include/gudhi/Witness_complex.h | 2 +- 6 files changed, 361 insertions(+), 7 deletions(-) create mode 100644 src/Witness_complex/example/example_strong_witness_persistence.cpp create mode 100644 src/Witness_complex/example/example_witness_complex_persistence.cpp diff --git a/src/Witness_complex/example/CMakeLists.txt b/src/Witness_complex/example/CMakeLists.txt index 469c9aac..38cfa821 100644 --- a/src/Witness_complex/example/CMakeLists.txt +++ b/src/Witness_complex/example/CMakeLists.txt @@ -7,7 +7,12 @@ if(CGAL_FOUND) if (EIGEN3_FOUND) add_executable( Witness_complex_example_off example_witness_complex_off.cpp ) add_executable ( Witness_complex_example_sphere example_witness_complex_sphere.cpp ) - #add_executable ( relaxed_witness_persistence relaxed_witness_persistence.cpp ) + add_executable ( Witness_complex_example_witness_persistence example_witness_complex_persistence.cpp ) + target_link_libraries(Witness_complex_example_witness_persistence ${Boost_PROGRAM_OPTIONS_LIBRARY}) + add_test(Witness_complex_test_torus_persistence src/Witness_complex/example/Witness_complex_example_witncess_complex_persistence ../data/points/tore3D_1307.off -l 20 -a 0.5) + add_executable ( Witness_complex_example_strong_witness_persistence example_strong_witness_persistence.cpp ) + target_link_libraries(Witness_complex_example_strong_witness_persistence ${Boost_PROGRAM_OPTIONS_LIBRARY}) + add_test(Witness_complex_test_torus_persistence src/Witness_complex/example/Witness_complex_example_strong_witness_persistence ../data/points/tore3D_1307.off -l 20 -a 0.5) endif(EIGEN3_FOUND) endif (NOT CGAL_VERSION VERSION_LESS 4.6.0) endif() diff --git a/src/Witness_complex/example/example_strong_witness_persistence.cpp b/src/Witness_complex/example/example_strong_witness_persistence.cpp new file mode 100644 index 00000000..bf6b4011 --- /dev/null +++ b/src/Witness_complex/example/example_strong_witness_persistence.cpp @@ -0,0 +1,172 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2016 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#include +#include +#include +#include +#include + +#include + +#include + +#include +#include +#include // infinity + +using namespace Gudhi; +using namespace Gudhi::persistent_cohomology; + +typedef CGAL::Epick_d K; +typedef typename K::Point_d Point_d; + +typedef typename std::vector Point_vector; +typedef typename Gudhi::witness_complex::Strong_witness_complex Strong_witness_complex; +typedef Gudhi::Simplex_tree<> SimplexTree; + +typedef int Vertex_handle; +typedef double Filtration_value; + +void program_options(int argc, char * argv[] + , int & nbL + , std::string & file_name + , std::string & filediag + , Filtration_value & max_squared_alpha + , int & p + , Filtration_value & min_persistence); + +int main(int argc, char * argv[]) { + std::string file_name; + std::string filediag; + Filtration_value max_squared_alpha; + int p, nbL; + Filtration_value min_persistence; + SimplexTree simplex_tree; + + program_options(argc, argv, nbL, file_name, filediag, max_squared_alpha, p, min_persistence); + + // Extract the points from the file file_name + Point_vector witnesses, landmarks; + Gudhi::Points_off_reader off_reader(file_name); + if (!off_reader.is_valid()) { + std::cerr << "Witness complex - Unable to read file " << file_name << "\n"; + exit(-1); // ----- >> + } + witnesses = Point_vector(off_reader.get_point_cloud()); + std::cout << "Successfully read " << witnesses.size() << " points.\n"; + std::cout << "Ambient dimension is " << witnesses[0].dimension() << ".\n"; + + // Choose landmarks from witnesses + Gudhi::subsampling::pick_n_random_points(witnesses, nbL, std::back_inserter(landmarks)); + + // Compute witness complex + Strong_witness_complex strong_witness_complex(landmarks.begin(), + landmarks.end(), + witnesses.begin(), + witnesses.end()); + + strong_witness_complex.create_complex(simplex_tree, max_squared_alpha); + + std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; + std::cout << " and has dimension " << simplex_tree.dimension() << " \n"; + + // Sort the simplices in the order of the filtration + simplex_tree.initialize_filtration(); + + // Compute the persistence diagram of the complex + persistent_cohomology::Persistent_cohomology pcoh(simplex_tree); + // initializes the coefficient field for homology + pcoh.init_coefficients(p); + + pcoh.compute_persistent_cohomology(min_persistence); + + // Output the diagram in filediag + if (filediag.empty()) { + pcoh.output_diagram(); + } else { + std::ofstream out(filediag); + pcoh.output_diagram(out); + out.close(); + } + + return 0; +} + + +void program_options(int argc, char * argv[] + , int & nbL + , std::string & file_name + , std::string & filediag + , Filtration_value & max_squared_alpha + , int & p + , Filtration_value & min_persistence) { + + namespace po = boost::program_options; + + po::options_description hidden("Hidden options"); + hidden.add_options() + ("input-file", po::value(&file_name), + "Name of file containing a point set in off format."); + + + po::options_description visible("Allowed options", 100); + visible.add_options() + ("help,h", "produce help message") + ("landmarks,l", po::value(&nbL), + "Number of landmarks to choose from the point cloud.") + ("output-file,o", po::value(&filediag)->default_value(std::string()), + "Name of file in which the persistence diagram is written. Default print in std::cout") + ("max-sq-alpha,a", po::value(&max_squared_alpha)->default_value(std::numeric_limits::infinity()), + "Maximal length of an edge for the Rips complex construction.") + ("field-charac,p", po::value(&p)->default_value(11), + "Characteristic p of the coefficient field Z/pZ for computing homology.") + ("min-persistence,m", po::value(&min_persistence)->default_value(0), + "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length intervals"); + + po::positional_options_description pos; + pos.add("input-file", 1); + + po::options_description all; + all.add(visible).add(hidden); + po::variables_map vm; + + po::store(po::command_line_parser(argc, argv). + options(all).positional(pos).run(), vm); + po::notify(vm); + + if (vm.count("help") || !vm.count("input-file")) { + std::cout << std::endl; + std::cout << "Compute the persistent homology with coefficient field Z/pZ \n"; + std::cout << "of a Strong witness complex defined on a set of input points.\n \n"; + std::cout << "The output diagram contains one bar per line, written with the convention: \n"; + std::cout << " p dim b d \n"; + std::cout << "where dim is the dimension of the homological feature,\n"; + std::cout << "b and d are respectively the birth and death of the feature and \n"; + std::cout << "p is the characteristic of the field Z/pZ used for homology coefficients." << std::endl << std::endl; + + std::cout << "Usage: " << argv[0] << " [options] input-file" << std::endl << std::endl; + std::cout << visible << std::endl; + std::abort(); + } +} + diff --git a/src/Witness_complex/example/example_witness_complex_off.cpp b/src/Witness_complex/example/example_witness_complex_off.cpp index 6b0060d9..849a0a40 100644 --- a/src/Witness_complex/example/example_witness_complex_off.cpp +++ b/src/Witness_complex/example/example_witness_complex_off.cpp @@ -53,8 +53,6 @@ int main(int argc, char * const argv[]) { int nbL = atoi(argv[2]); double alpha2 = atof(argv[3]); clock_t start, end; - - // Construct the Simplex Tree Gudhi::Simplex_tree<> simplex_tree; // Read the point file @@ -78,6 +76,7 @@ int main(int argc, char * const argv[]) { landmarks.end(), point_vector.begin(), point_vector.end()); + witness_complex.create_complex(simplex_tree, alpha2); end = clock(); std::cout << "Witness complex took " diff --git a/src/Witness_complex/example/example_witness_complex_persistence.cpp b/src/Witness_complex/example/example_witness_complex_persistence.cpp new file mode 100644 index 00000000..9b06b504 --- /dev/null +++ b/src/Witness_complex/example/example_witness_complex_persistence.cpp @@ -0,0 +1,172 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2016 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#include +#include +#include +#include +#include + +#include + +#include + +#include +#include +#include // infinity + +using namespace Gudhi; +using namespace Gudhi::persistent_cohomology; + +typedef CGAL::Epick_d K; +typedef typename K::Point_d Point_d; + +typedef typename std::vector Point_vector; +typedef typename Gudhi::witness_complex::Witness_complex Witness_complex; +typedef Gudhi::Simplex_tree<> SimplexTree; + +typedef int Vertex_handle; +typedef double Filtration_value; + +void program_options(int argc, char * argv[] + , int & nbL + , std::string & file_name + , std::string & filediag + , Filtration_value & max_squared_alpha + , int & p + , Filtration_value & min_persistence); + +int main(int argc, char * argv[]) { + std::string file_name; + std::string filediag; + Filtration_value max_squared_alpha; + int p, nbL; + Filtration_value min_persistence; + SimplexTree simplex_tree; + + program_options(argc, argv, nbL, file_name, filediag, max_squared_alpha, p, min_persistence); + + // Extract the points from the file file_name + Point_vector witnesses, landmarks; + Gudhi::Points_off_reader off_reader(file_name); + if (!off_reader.is_valid()) { + std::cerr << "Witness complex - Unable to read file " << file_name << "\n"; + exit(-1); // ----- >> + } + witnesses = Point_vector(off_reader.get_point_cloud()); + std::cout << "Successfully read " << witnesses.size() << " points.\n"; + std::cout << "Ambient dimension is " << witnesses[0].dimension() << ".\n"; + + // Choose landmarks from witnesses + Gudhi::subsampling::pick_n_random_points(witnesses, nbL, std::back_inserter(landmarks)); + + // Compute witness complex + Witness_complex witness_complex(landmarks.begin(), + landmarks.end(), + witnesses.begin(), + witnesses.end()); + + witness_complex.create_complex(simplex_tree, max_squared_alpha); + + std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; + std::cout << " and has dimension " << simplex_tree.dimension() << " \n"; + + // Sort the simplices in the order of the filtration + simplex_tree.initialize_filtration(); + + // Compute the persistence diagram of the complex + persistent_cohomology::Persistent_cohomology pcoh(simplex_tree); + // initializes the coefficient field for homology + pcoh.init_coefficients(p); + + pcoh.compute_persistent_cohomology(min_persistence); + + // Output the diagram in filediag + if (filediag.empty()) { + pcoh.output_diagram(); + } else { + std::ofstream out(filediag); + pcoh.output_diagram(out); + out.close(); + } + + return 0; +} + + +void program_options(int argc, char * argv[] + , int & nbL + , std::string & file_name + , std::string & filediag + , Filtration_value & max_squared_alpha + , int & p + , Filtration_value & min_persistence) { + + namespace po = boost::program_options; + + po::options_description hidden("Hidden options"); + hidden.add_options() + ("input-file", po::value(&file_name), + "Name of file containing a point set in off format."); + + + po::options_description visible("Allowed options", 100); + visible.add_options() + ("help,h", "produce help message") + ("landmarks,l", po::value(&nbL), + "Number of landmarks to choose from the point cloud.") + ("output-file,o", po::value(&filediag)->default_value(std::string()), + "Name of file in which the persistence diagram is written. Default print in std::cout") + ("max-sq-alpha,a", po::value(&max_squared_alpha)->default_value(std::numeric_limits::infinity()), + "Maximal length of an edge for the Rips complex construction.") + ("field-charac,p", po::value(&p)->default_value(11), + "Characteristic p of the coefficient field Z/pZ for computing homology.") + ("min-persistence,m", po::value(&min_persistence)->default_value(0), + "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length intervals"); + + po::positional_options_description pos; + pos.add("input-file", 1); + + po::options_description all; + all.add(visible).add(hidden); + po::variables_map vm; + + po::store(po::command_line_parser(argc, argv). + options(all).positional(pos).run(), vm); + po::notify(vm); + + if (vm.count("help") || !vm.count("input-file")) { + std::cout << std::endl; + std::cout << "Compute the persistent homology with coefficient field Z/pZ \n"; + std::cout << "of a Weak witness complex defined on a set of input points.\n \n"; + std::cout << "The output diagram contains one bar per line, written with the convention: \n"; + std::cout << " p dim b d \n"; + std::cout << "where dim is the dimension of the homological feature,\n"; + std::cout << "b and d are respectively the birth and death of the feature and \n"; + std::cout << "p is the characteristic of the field Z/pZ used for homology coefficients." << std::endl << std::endl; + + std::cout << "Usage: " << argv[0] << " [options] input-file" << std::endl << std::endl; + std::cout << visible << std::endl; + std::abort(); + } +} + diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index f5633a98..3a862d71 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -27,9 +27,6 @@ #include #include #include -#include "gudhi/reader_utils.h" -#include "gudhi/distance_functions.h" -#include "gudhi/Simplex_tree.h" #include #include #include @@ -39,6 +36,11 @@ #include #include +#include "Active_witness/Active_witness.h" +#include +#include + + // Needed for nearest neighbours #include #include @@ -142,6 +144,7 @@ private: FT max_alpha_square) { unsigned nbL = landmarks_.size(); + unsigned complex_dim = 0; if (complex.num_vertices() > 0) { std::cerr << "Witness complex cannot create complex - complex is not empty.\n"; return false; @@ -168,7 +171,10 @@ private: complex.insert_simplex_and_subfaces(simplex, aw_it->second - aw.begin()->second); aw_it++; } + if (simplex.size() - 1 > complex_dim) + complex_dim = simplex.size() - 1; } + complex.set_dimension(complex_dim); return true; } diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index a16f9270..7d8fce86 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -31,7 +31,6 @@ #include #include "Active_witness/Active_witness.h" -#include #include #include @@ -175,6 +174,7 @@ private: } k++; } + complex.set_dimension(k-1); return true; } -- cgit v1.2.3 From 1bcd448f6e217655fae4bfbf62d8d3b6caa52503 Mon Sep 17 00:00:00 2001 From: skachano Date: Fri, 7 Oct 2016 09:49:47 +0000 Subject: Added the possibility to limit dimension git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1676 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 16ec8706ffb981ff892960468cc4b809e61612e2 --- .../example/example_strong_witness_persistence.cpp | 10 +++++++--- .../example/example_witness_complex_off.cpp | 6 +++--- .../example_witness_complex_persistence.cpp | 12 +++++++---- .../include/gudhi/Active_witness/Active_witness.h | 3 +++ .../gudhi/Active_witness/Active_witness_iterator.h | 7 +++++++ .../include/gudhi/Strong_witness_complex.h | 23 ++++++++++++++-------- .../include/gudhi/Witness_complex.h | 23 +++++++++++++--------- 7 files changed, 57 insertions(+), 27 deletions(-) diff --git a/src/Witness_complex/example/example_strong_witness_persistence.cpp b/src/Witness_complex/example/example_strong_witness_persistence.cpp index bf6b4011..4e06867d 100644 --- a/src/Witness_complex/example/example_strong_witness_persistence.cpp +++ b/src/Witness_complex/example/example_strong_witness_persistence.cpp @@ -53,17 +53,18 @@ void program_options(int argc, char * argv[] , std::string & filediag , Filtration_value & max_squared_alpha , int & p + , int & dim_max , Filtration_value & min_persistence); int main(int argc, char * argv[]) { std::string file_name; std::string filediag; Filtration_value max_squared_alpha; - int p, nbL; + int p, nbL, lim_d; Filtration_value min_persistence; SimplexTree simplex_tree; - program_options(argc, argv, nbL, file_name, filediag, max_squared_alpha, p, min_persistence); + program_options(argc, argv, nbL, file_name, filediag, max_squared_alpha, p, lim_d, min_persistence); // Extract the points from the file file_name Point_vector witnesses, landmarks; @@ -119,6 +120,7 @@ void program_options(int argc, char * argv[] , std::string & filediag , Filtration_value & max_squared_alpha , int & p + , int & dim_max , Filtration_value & min_persistence) { namespace po = boost::program_options; @@ -141,7 +143,9 @@ void program_options(int argc, char * argv[] ("field-charac,p", po::value(&p)->default_value(11), "Characteristic p of the coefficient field Z/pZ for computing homology.") ("min-persistence,m", po::value(&min_persistence)->default_value(0), - "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length intervals"); + "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length intervals") + ("cpx-dimension,d", po::value(&dim_max)->default_value(std::numeric_limits::max()), + "Maximal dimension of the strong witness complex we want to compute."); po::positional_options_description pos; pos.add("input-file", 1); diff --git a/src/Witness_complex/example/example_witness_complex_off.cpp b/src/Witness_complex/example/example_witness_complex_off.cpp index 849a0a40..37646faf 100644 --- a/src/Witness_complex/example/example_witness_complex_off.cpp +++ b/src/Witness_complex/example/example_witness_complex_off.cpp @@ -45,12 +45,12 @@ typedef std::vector< Point_d > Point_vector; int main(int argc, char * const argv[]) { if (argc != 4) { std::cerr << "Usage: " << argv[0] - << " path_to_point_file nbL alpha^2\n"; + << " path_to_point_file number_of_landmarks max_squared_alpha limit_dimension\n"; return 0; } std::string file_name = argv[1]; - int nbL = atoi(argv[2]); + int nbL = atoi(argv[2]), lim_dim = atoi(argv[4]); double alpha2 = atof(argv[3]); clock_t start, end; Gudhi::Simplex_tree<> simplex_tree; @@ -77,7 +77,7 @@ int main(int argc, char * const argv[]) { point_vector.begin(), point_vector.end()); - witness_complex.create_complex(simplex_tree, alpha2); + witness_complex.create_complex(simplex_tree, alpha2, lim_dim); end = clock(); std::cout << "Witness complex took " << static_cast(end - start) / CLOCKS_PER_SEC << " s. \n"; diff --git a/src/Witness_complex/example/example_witness_complex_persistence.cpp b/src/Witness_complex/example/example_witness_complex_persistence.cpp index 9b06b504..a4388047 100644 --- a/src/Witness_complex/example/example_witness_complex_persistence.cpp +++ b/src/Witness_complex/example/example_witness_complex_persistence.cpp @@ -53,17 +53,18 @@ void program_options(int argc, char * argv[] , std::string & filediag , Filtration_value & max_squared_alpha , int & p + , int & dim_max , Filtration_value & min_persistence); int main(int argc, char * argv[]) { std::string file_name; std::string filediag; Filtration_value max_squared_alpha; - int p, nbL; + int p, nbL, lim_d; Filtration_value min_persistence; SimplexTree simplex_tree; - program_options(argc, argv, nbL, file_name, filediag, max_squared_alpha, p, min_persistence); + program_options(argc, argv, nbL, file_name, filediag, max_squared_alpha, p, lim_d, min_persistence); // Extract the points from the file file_name Point_vector witnesses, landmarks; @@ -119,6 +120,7 @@ void program_options(int argc, char * argv[] , std::string & filediag , Filtration_value & max_squared_alpha , int & p + , int & dim_max , Filtration_value & min_persistence) { namespace po = boost::program_options; @@ -141,8 +143,10 @@ void program_options(int argc, char * argv[] ("field-charac,p", po::value(&p)->default_value(11), "Characteristic p of the coefficient field Z/pZ for computing homology.") ("min-persistence,m", po::value(&min_persistence)->default_value(0), - "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length intervals"); - + "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length intervals") + ("cpx-dimension,d", po::value(&dim_max)->default_value(std::numeric_limits::max()), + "Maximal dimension of the weak witness complex we want to compute."); + po::positional_options_description pos; pos.add("input-file", 1); diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h index 9ae41a69..e52410e4 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h @@ -31,6 +31,9 @@ namespace Gudhi { namespace witness_complex { + /** \brief Class representing a list of nearest neighbors to a given witness. + * \detail Every element is a pair of a landmark identifier and the squared distance to it. + */ template< typename Id_distance_pair, typename INS_range > class Active_witness { diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h index 5d4f3d75..9c96f7e8 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h @@ -31,6 +31,13 @@ namespace Gudhi { namespace witness_complex { + /** \brief Iterator in the nearest landmark list. + * \detail After the iterator reaches the end of the list, + * the list is augmented by a (nearest landmark, distance) pair if possible. + * If all the landmarks are present in the list, iterator returns the specific end value + * of the corresponding 'Active_witness' object. + */ + template< typename Active_witness, typename Id_distance_pair, typename INS_iterator > diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index 3a862d71..e125d307 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -138,19 +138,26 @@ private: /** \brief Outputs the (weak) witness complex with * squared relaxation parameter 'max_alpha_square' * to simplicial complex 'complex'. + * The parameter 'limit_dimension' represents the maximal dimension of the simplicial complex + * (default value = no limit). */ template < typename SimplicialComplexForWitness > bool create_complex(SimplicialComplexForWitness& complex, - FT max_alpha_square) + FT max_alpha_square, + Landmark_id limit_dimension = std::numeric_limits::max()) { - unsigned nbL = landmarks_.size(); - unsigned complex_dim = 0; + std::size_t nbL = landmarks_.size(); + Landmark_id complex_dim = 0; if (complex.num_vertices() > 0) { - std::cerr << "Witness complex cannot create complex - complex is not empty.\n"; + std::cerr << "Strong witness complex cannot create complex - complex is not empty.\n"; return false; } if (max_alpha_square < 0) { - std::cerr << "Witness complex cannot create complex - squared relaxation parameter must be non-negative.\n"; + std::cerr << "Strong witness complex cannot create complex - squared relaxation parameter must be non-negative.\n"; + return false; + } + if (limit_dimension < 0) { + std::cerr << "Strong witness complex cannot create complex - limit dimension must be non-negative.\n"; return false; } typeVectorVertex vv; @@ -165,13 +172,13 @@ private: ActiveWitness aw(landmark_tree_.query_incremental_nearest_neighbors(w)); typeVectorVertex simplex; typename ActiveWitness::iterator aw_it = aw.begin(); - float lim_d2 = aw.begin()->second + max_alpha_square; - while (aw_it != aw.end() && aw_it->second < lim_d2) { + float lim_dist2 = aw.begin()->second + max_alpha_square; + while ((Landmark_id)simplex.size() <= limit_dimension + 1 && aw_it != aw.end() && aw_it->second < lim_dist2) { simplex.push_back(aw_it->first); complex.insert_simplex_and_subfaces(simplex, aw_it->second - aw.begin()->second); aw_it++; } - if (simplex.size() - 1 > complex_dim) + if ((Landmark_id)simplex.size() - 1 > complex_dim) complex_dim = simplex.size() - 1; } complex.set_dimension(complex_dim); diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 7d8fce86..2a89306d 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -129,7 +129,8 @@ private: */ template < typename SimplicialComplexForWitness > bool create_complex(SimplicialComplexForWitness& complex, - FT max_alpha_square) + FT max_alpha_square, + Landmark_id limit_dimension = std::numeric_limits::max()) { std::size_t nbL = landmarks_.size(); if (complex.num_vertices() > 0) { @@ -140,6 +141,10 @@ private: std::cerr << "Witness complex cannot create complex - squared relaxation parameter must be non-negative.\n"; return false; } + if (limit_dimension < 0) { + std::cerr << "Witness complex cannot create complex - limit dimension must be non-negative.\n"; + return false; + } typeVectorVertex vv; ActiveWitnessList active_witnesses;// = new ActiveWitnessList(); for (unsigned i = 0; i != nbL; ++i) { @@ -150,13 +155,13 @@ private: complex.insert_simplex(vv, Filtration_value(0.0)); /* TODO Error if not inserted : normally no need here though*/ } - unsigned k = 1; /* current dimension in iterative construction */ + Landmark_id k = 1; /* current dimension in iterative construction */ for (auto w: witnesses_) active_witnesses.push_back(ActiveWitness(landmark_tree_.query_incremental_nearest_neighbors(w))); ActiveWitness aw_copy(active_witnesses.front()); - while (!active_witnesses.empty() && k < nbL ) { + while (!active_witnesses.empty() && k <= limit_dimension ) { typename ActiveWitnessList::iterator aw_it = active_witnesses.begin(); - std::vector simplex; + std::vector simplex; simplex.reserve(k+1); while (aw_it != active_witnesses.end()) { bool ok = add_all_faces_of_dimension(k, @@ -191,7 +196,7 @@ private: double alpha2, double norelax_dist2, typename ActiveWitness::iterator curr_l, - std::vector& simplex, + std::vector& simplex, SimplicialComplexForWitness& sc, typename ActiveWitness::iterator end) { @@ -251,17 +256,17 @@ private: * inserted_vertex is the handle of the (k+1)-th vertex witnessed by witness_id */ template < typename SimplicialComplexForWitness > - bool all_faces_in(std::vector& simplex, + bool all_faces_in(typeVectorVertex& simplex, double* filtration_value, SimplicialComplexForWitness& sc) { typedef typename SimplicialComplexForWitness::Simplex_handle Simplex_handle; - std::vector< int > facet; - for (std::vector::iterator not_it = simplex.begin(); not_it != simplex.end(); ++not_it) + typeVectorVertex facet; + for (typename typeVectorVertex::iterator not_it = simplex.begin(); not_it != simplex.end(); ++not_it) { facet.clear(); - for (std::vector::iterator it = simplex.begin(); it != simplex.end(); ++it) + for (typename typeVectorVertex::iterator it = simplex.begin(); it != simplex.end(); ++it) if (it != not_it) facet.push_back(*it); Simplex_handle facet_sh = sc.find(facet); -- cgit v1.2.3 From 78f1193dc1d9b5e03a2e4725f7b2fddda333b7ae Mon Sep 17 00:00:00 2001 From: skachano Date: Fri, 7 Oct 2016 10:29:09 +0000 Subject: Documented member functions git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1677 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 7946666e5b994a9c76c1d7dc8e9bcdb4526afddf --- .../include/gudhi/Strong_witness_complex.h | 48 ++-------------------- .../include/gudhi/Witness_complex.h | 32 +++------------ 2 files changed, 8 insertions(+), 72 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index e125d307..1ce050ad 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -23,42 +23,14 @@ #ifndef STRONG_WITNESS_COMPLEX_H_ #define STRONG_WITNESS_COMPLEX_H_ -#include -#include -#include #include #include #include -#include -#include #include -#include -#include -#include #include "Active_witness/Active_witness.h" -#include #include - -// Needed for nearest neighbours -#include -#include -#include -#include -#include -#include - -#include -#include -#include -#include - -// Needed for the adjacency graph in bad link search -#include -#include -#include - namespace gss = Gudhi::spatial_searching; namespace Gudhi { @@ -102,21 +74,9 @@ private: //@{ - // Witness_range> - /* - * \brief Iterative construction of the (weak) witness complex. - * \details The witness complex is written in sc_ basing on a matrix knn of - * nearest neighbours of the form {witnesses}x{landmarks}. - * - * The type KNearestNeighbors can be seen as - * Witness_range>, where - * Witness_range and Closest_landmark_range are random access ranges. - * - * Constructor takes into account at most (dim+1) - * first landmarks from each landmark range to construct simplices. - * - * Landmarks are supposed to be in [0,nbL_-1] + * \brief Initializes member variables before constructing simplicial complex. + * \details The parameters should satisfy InputIterator C++ concepts. */ template< typename InputIteratorLandmarks, typename InputIteratorWitnesses > @@ -135,7 +95,7 @@ private: return landmarks_[vertex]; } - /** \brief Outputs the (weak) witness complex with + /** \brief Outputs the (strong) witness complex with * squared relaxation parameter 'max_alpha_square' * to simplicial complex 'complex'. * The parameter 'limit_dimension' represents the maximal dimension of the simplicial complex @@ -161,12 +121,10 @@ private: return false; } typeVectorVertex vv; - //ActiveWitnessList active_witnesses;// = new ActiveWitnessList(); for (unsigned i = 0; i != nbL; ++i) { // initial fill of 0-dimensional simplices vv = {i}; complex.insert_simplex(vv, Filtration_value(0.0)); - /* TODO Error if not inserted : normally no need here though*/ } for (auto w: witnesses_) { ActiveWitness aw(landmark_tree_.query_incremental_nearest_neighbors(w)); diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 2a89306d..7b46e1c0 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -23,25 +23,13 @@ #ifndef WITNESS_COMPLEX_H_ #define WITNESS_COMPLEX_H_ -// Needed for the adjacency graph in bad link search -#include -#include -#include - -#include - #include "Active_witness/Active_witness.h" #include -#include #include #include #include -#include -#include #include -#include -#include namespace gss = Gudhi::spatial_searching; @@ -93,18 +81,8 @@ private: //@{ /* - * \brief Iterative construction of the (weak) witness complex. - * \details The witness complex is written in sc_ basing on a matrix knn of - * nearest neighbours of the form {witnesses}x{landmarks}. - * - * The type KNearestNeighbors can be seen as - * Witness_range>, where - * Witness_range and Closest_landmark_range are random access ranges. - * - * Constructor takes into account at most (dim+1) - * first landmarks from each landmark range to construct simplices. - * - * Landmarks are supposed to be in [0,nbL_-1] + * \brief Initializes member variables before constructing simplicial complex. + * \details The parameters should satisfy InputIterator C++ concepts. */ template< typename InputIteratorLandmarks, typename InputIteratorWitnesses > @@ -126,6 +104,8 @@ private: /** \brief Outputs the (weak) witness complex with * squared relaxation parameter 'max_alpha_square' * to simplicial complex 'complex'. + * The parameter 'limit_dimension' represents the maximal dimension of the simplicial complex + * (default value = no limit). */ template < typename SimplicialComplexForWitness > bool create_complex(SimplicialComplexForWitness& complex, @@ -146,14 +126,12 @@ private: return false; } typeVectorVertex vv; - ActiveWitnessList active_witnesses;// = new ActiveWitnessList(); + ActiveWitnessList active_witnesses; for (unsigned i = 0; i != nbL; ++i) { // initial fill of 0-dimensional simplices // by doing it we don't assume that landmarks are necessarily witnesses themselves anymore - //counter++; vv = {i}; complex.insert_simplex(vv, Filtration_value(0.0)); - /* TODO Error if not inserted : normally no need here though*/ } Landmark_id k = 1; /* current dimension in iterative construction */ for (auto w: witnesses_) -- cgit v1.2.3 From 309d5aa575735acefabc33abade72637c52fb931 Mon Sep 17 00:00:00 2001 From: skachano Date: Fri, 7 Oct 2016 16:08:41 +0000 Subject: Added a big chunk of documentation. +small fixes git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1679 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: d3166034bf662121bc21583bb027c67f736e904c --- biblio/bibliography.bib | 7 ++++ .../concept/Simplicial_complex_for_witness.h | 2 +- src/Witness_complex/doc/Witness_complex_doc.h | 46 ++++++++++++++++------ .../include/gudhi/Active_witness/Active_witness.h | 7 ++-- .../gudhi/Active_witness/Active_witness_iterator.h | 12 +++--- .../include/gudhi/Strong_witness_complex.h | 40 +++++++++++++++---- .../include/gudhi/Witness_complex.h | 46 +++++++++++++++------- 7 files changed, 116 insertions(+), 44 deletions(-) diff --git a/biblio/bibliography.bib b/biblio/bibliography.bib index 9fc01a5d..a994ebef 100644 --- a/biblio/bibliography.bib +++ b/biblio/bibliography.bib @@ -954,3 +954,10 @@ pages={91-106}, language={English} } +@article{de2004topological, + title={Topological estimation using witness complexes}, + author={De Silva, Vin and Carlsson, Gunnar}, + journal={Proc. Sympos. Point-Based Graphics}, + pages={157--166}, + year={2004} +} \ No newline at end of file diff --git a/src/Witness_complex/concept/Simplicial_complex_for_witness.h b/src/Witness_complex/concept/Simplicial_complex_for_witness.h index caaf0db6..b47de809 100644 --- a/src/Witness_complex/concept/Simplicial_complex_for_witness.h +++ b/src/Witness_complex/concept/Simplicial_complex_for_witness.h @@ -29,7 +29,7 @@ namespace witness_complex { /** \brief The concept Simplicial_Complex describes the requirements * for a type to implement a simplicial complex, - * used for example to build a 'Witness_complex'. + * used for example to build a Witness_complex. */ struct SimplicialComplexForWitness { /** Handle to specify a simplex. */ diff --git a/src/Witness_complex/doc/Witness_complex_doc.h b/src/Witness_complex/doc/Witness_complex_doc.h index 60dfd27b..1d6e9da2 100644 --- a/src/Witness_complex/doc/Witness_complex_doc.h +++ b/src/Witness_complex/doc/Witness_complex_doc.h @@ -6,33 +6,55 @@ \author Siargey Kachanovich - \image html "Witness_complex_representation.png" "Witness complex representation" + \image html "Witness_complex_representation.png" "Witness complex representation in a Simplex tree (from \cite boissonnatmariasimplextreealgorithmica)" \section Definitions - Witness complex \f$ Wit(W,L) \f$ is a simplicial complex defined on two sets of points in \f$\mathbb{R}^D\f$: + Witness complex is a simplicial complex defined on two sets of points in \f$\mathbb{R}^D\f$: \li \f$W\f$ set of **witnesses** and - \li \f$L \subseteq W\f$ set of **landmarks**. + \li \f$L\f$ set of **landmarks**. + + Even though often the set of landmarks \f$L\f$ is a subset of the set of witnesses \f$ W\f$, it is not a requirement for the current implementation. The simplices are based on landmarks - and a simplex belongs to the witness complex if and only if it is witnessed, that is: + and witnesses help to decide on which simplices are inserted via a predicate "is witnessed". + + De Silva and Carlsson in their paper \cite de2004topological differentiate **weak witnessing** and **strong witnessing**: + + - *weak*: \f$ \sigma \subset L \f$ is witnessed by \f$ w \in W\f$ if \f$ \forall l \in \sigma,\ \forall l' \in L \setminus \sigma,\ d(w,l) \leq d(w,l') \f$ + - *strong*: \f$ \sigma \subset L \f$ is witnessed by \f$ w \in W\f$ if \f$ \forall l \in \sigma,\ \forall l' \in L,\ d(w,l) \leq d(w,l') \f$ + + where \f$ d(.,.) \f$ is a distance function. + + Both definitions can be relaxed by a real value \f$\alpha\f$: + + - *weak*: \f$ \sigma \subset L \f$ is \f$\alpha\f$-witnessed by \f$ w \in W\f$ if \f$ \forall l \in \sigma,\ \forall l' \in L \setminus \sigma,\ d(w,l)^2 \leq d(w,l')^2 + \alpha^2 \f$ + - *strong*: \f$ \sigma \subset L \f$ is \f$\alpha\f$-witnessed by \f$ w \in W\f$ if \f$ \forall l \in \sigma,\ \forall l' \in L,\ d(w,l)^2 \leq d(w,l')^2 + \alpha^2 \f$ - \f$ \sigma \subset L \f$ is witnessed if there exists a point \f$w \in W\f$ such that - w is closer to the vertices of \f$ \sigma \f$ than other points in \f$ L \f$ and all of its faces are witnessed as well. - - The data structure is described in \cite boissonnatmariasimplextreealgorithmica . + which leads to definitions of **weak relaxed witness complex** (or just relaxed witness complex for short) and **strong relaxed witness complex** respectively. \section Implementation + + The two complexes described above are implemented in the corresponding classes + - Gudhi::witness_complex::Witness_complex + - Gudhi::witness_complex::Strong_witness_complex + + The construction of both of them follow the same scheme: + 1. Construct a search tree on landmarks (for that Gudhi::spatial_searching::Kd_tree_search is used internally). + 2. Construct lists of nearest landmarks for each witness (special internal structure Gudhi::spatial_searching::Active_witness is used internally). + 3. Construct the witness complex for nearest landmark lists. + + The constructors take on the step 1, while the function 'create_complex' executes the steps 2 and 3. - The principal class of this module is Gudhi::Witness_complex. + \section Examples - In both cases, the constructor for this class takes a {witness}x{closest_landmarks} table, where each row represents a witness and consists of landmarks sorted by distance to this witness. - This table can be constructed by two additional classes Landmark_choice_by_furthest_point and Landmark_choice_by_random_point also included in the module. + Here is an example of constructing a strong witness complex filtration and computing persistence on it: + + \include Witness_complex/example_strong_witness_persistence.cpp *\image html "bench_Cy8.png" "Running time as function on number of landmarks" width=10cm *\image html "bench_sphere.png" "Running time as function on number of witnesses for |L|=300" width=10cm - \copyright GNU General Public License v3. diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h index e52410e4..2ca76767 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h @@ -31,9 +31,10 @@ namespace Gudhi { namespace witness_complex { - /** \brief Class representing a list of nearest neighbors to a given witness. - * \detail Every element is a pair of a landmark identifier and the squared distance to it. - */ + // /** \class Active_witness + // * \brief Class representing a list of nearest neighbors to a given witness. + // * \details Every element is a pair of a landmark identifier and the squared distance to it. + // */ template< typename Id_distance_pair, typename INS_range > class Active_witness { diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h index 9c96f7e8..38c7adb2 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h @@ -31,12 +31,12 @@ namespace Gudhi { namespace witness_complex { - /** \brief Iterator in the nearest landmark list. - * \detail After the iterator reaches the end of the list, - * the list is augmented by a (nearest landmark, distance) pair if possible. - * If all the landmarks are present in the list, iterator returns the specific end value - * of the corresponding 'Active_witness' object. - */ + // /** \brief Iterator in the nearest landmark list. + // * \details After the iterator reaches the end of the list, + // * the list is augmented by a (nearest landmark, distance) pair if possible. + // * If all the landmarks are present in the list, iterator returns the specific end value + // * of the corresponding 'Active_witness' object. + // */ template< typename Active_witness, typename Id_distance_pair, diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index 1ce050ad..e64f8f20 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -37,6 +37,22 @@ namespace Gudhi { namespace witness_complex { +/** + * \private + * \class Strong_witness_complex + * \brief Constructs strong witness complex for the given sets of witnesses and landmarks. + * \ingroup witness_complex + * + * \tparam Kernel_ requires a CGAL::Epick_d class, which + * can be static if you know the ambiant dimension at compile-time, or dynamic if you don't. + * \tparam DimensionTag can be either Dimension_tag + * if you know the intrinsic dimension at compile-time, + * or CGAL::Dynamic_dimension_tag + * if you don't. + */ template< class Kernel_ > class Strong_witness_complex { private: @@ -55,7 +71,7 @@ private: typedef FT Filtration_value; - typedef std::ptrdiff_t Witness_id; + typedef std::size_t Witness_id; typedef typename Nearest_landmark_range::Point_with_transformed_distance Id_distance_pair; typedef typename Id_distance_pair::first_type Landmark_id; typedef Active_witness ActiveWitness; @@ -63,6 +79,8 @@ private: typedef std::vector< Landmark_id > typeVectorVertex; typedef std::pair< typeVectorVertex, Filtration_value> typeSimplex; + typedef Landmark_id Vertex_handle; + private: Point_range witnesses_, landmarks_; Kd_tree landmark_tree_; @@ -74,9 +92,13 @@ private: //@{ - /* + /** * \brief Initializes member variables before constructing simplicial complex. - * \details The parameters should satisfy InputIterator C++ concepts. + * \details Records landmarks from the range [landmarks_first, landmarks_last) into a + * table internally, as well as witnesses from the range [witnesses_first, witnesses_last). + * All iterator parameters should satisfy InputIterator + * C++ concept. */ template< typename InputIteratorLandmarks, typename InputIteratorWitnesses > @@ -90,15 +112,17 @@ private: /** \brief Returns the point corresponding to the given vertex. */ - Point_d get_point( std::size_t vertex ) const + template + Point_d get_point( Vertex_handle vertex ) const { return landmarks_[vertex]; } - /** \brief Outputs the (strong) witness complex with - * squared relaxation parameter 'max_alpha_square' - * to simplicial complex 'complex'. - * The parameter 'limit_dimension' represents the maximal dimension of the simplicial complex + /** \brief Outputs the strong witness complex in a simplicial complex data structure. + * @param[out] complex Simplicial complex data structure compatible with 'find' and 'insert' operations. + * (Cf SimplicialComplexForWitness) + * @param[in] max_alpha_square Maximal squared relaxation parameter. + * @param[in] limit_dimension Represents the maximal dimension of the simplicial complex * (default value = no limit). */ template < typename SimplicialComplexForWitness > diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 7b46e1c0..6a944c43 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -37,12 +37,22 @@ namespace Gudhi { namespace witness_complex { -// /* -// * \private -// \class Witness_complex -// \brief Constructs the witness complex for the given set of witnesses and landmarks. -// \ingroup witness_complex -// */ +/** + * \private + * \class Witness_complex + * \brief Constructs (weak) witness complex for the given sets of witnesses and landmarks. + * \ingroup witness_complex + * + * \tparam Kernel_ requires a CGAL::Epick_d class, which + * can be static if you know the ambiant dimension at compile-time, or dynamic if you don't. + * \tparam DimensionTag can be either Dimension_tag + * if you know the intrinsic dimension at compile-time, + * or CGAL::Dynamic_dimension_tag + * if you don't. +*/ template< class Kernel_ > class Witness_complex { private: @@ -69,6 +79,8 @@ private: typedef std::vector< Landmark_id > typeVectorVertex; typedef std::pair< typeVectorVertex, Filtration_value> typeSimplex; + typedef Landmark_id Vertex_handle; + private: Point_range witnesses_, landmarks_; Kd_tree landmark_tree_; @@ -80,9 +92,13 @@ private: //@{ - /* + /** * \brief Initializes member variables before constructing simplicial complex. - * \details The parameters should satisfy InputIterator C++ concepts. + * \details Records landmarks from the range [landmarks_first, landmarks_last) into a + * table internally, as well as witnesses from the range [witnesses_first, witnesses_last). + * All iterator parameters should satisfy InputIterator + * C++ concept. */ template< typename InputIteratorLandmarks, typename InputIteratorWitnesses > @@ -95,16 +111,18 @@ private: } /** \brief Returns the point corresponding to the given vertex. + * @param[in] vertex Vertex handle of the point to retrieve. */ - Point_d get_point( std::size_t vertex ) const + Point_d get_point( Vertex_handle vertex ) const { return landmarks_[vertex]; } - /** \brief Outputs the (weak) witness complex with - * squared relaxation parameter 'max_alpha_square' - * to simplicial complex 'complex'. - * The parameter 'limit_dimension' represents the maximal dimension of the simplicial complex + /** \brief Outputs the (weak) witness complex in a simplicial complex data structure. + * @param[out] complex Simplicial complex data structure compatible with 'find' and 'insert' operations. + * (Cf SimplicialComplexForWitness) + * @param[in] max_alpha_square Maximal squared relaxation parameter. + * @param[in] limit_dimension Represents the maximal dimension of the simplicial complex * (default value = no limit). */ template < typename SimplicialComplexForWitness > @@ -229,7 +247,7 @@ private: return will_be_active; } - /** \brief Check if the facets of the k-dimensional simplex witnessed + /* \brief Check if the facets of the k-dimensional simplex witnessed * by witness witness_id are already in the complex. * inserted_vertex is the handle of the (k+1)-th vertex witnessed by witness_id */ -- cgit v1.2.3 From 724b438df782cd736c1a72f64a68a6c2e8d35026 Mon Sep 17 00:00:00 2001 From: skachano Date: Mon, 10 Oct 2016 08:11:57 +0000 Subject: Deleted a redundant test git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1681 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 1f9aad522de403b3554b3289c412ee9dea3e66bf --- src/Witness_complex/test/CMakeLists.txt | 10 ---- .../test/witness_complex_points.cpp | 58 ---------------------- 2 files changed, 68 deletions(-) delete mode 100644 src/Witness_complex/test/witness_complex_points.cpp diff --git a/src/Witness_complex/test/CMakeLists.txt b/src/Witness_complex/test/CMakeLists.txt index 751f533c..c616ccdf 100644 --- a/src/Witness_complex/test/CMakeLists.txt +++ b/src/Witness_complex/test/CMakeLists.txt @@ -18,13 +18,3 @@ add_test(NAME simple_witness_complex COMMAND ${CMAKE_CURRENT_BINARY_DIR}/Witness_complex_test_simple_witness_complex # XML format for Jenkins xUnit plugin --log_format=XML --log_sink=${CMAKE_SOURCE_DIR}/Witness_complex_test_simple_witness_complex.xml --log_level=test_suite --report_level=no) - -add_executable ( witness_complex_pointsUT witness_complex_points.cpp ) -target_link_libraries(witness_complex_pointsUT ${Boost_SYSTEM_LIBRARY} ${Boost_UNIT_TEST_FRAMEWORK_LIBRARY}) - -# Unitary tests definition and xml result file generation -add_test(NAME witness_complex_pointsUT - COMMAND ${CMAKE_CURRENT_BINARY_DIR}/witness_complex_pointsUT - # XML format for Jenkins xUnit plugin - --log_format=XML --log_sink=${CMAKE_SOURCE_DIR}/witness_complex_pointsUT.xml --log_level=test_suite --report_level=no) - diff --git a/src/Witness_complex/test/witness_complex_points.cpp b/src/Witness_complex/test/witness_complex_points.cpp deleted file mode 100644 index d40bbf14..00000000 --- a/src/Witness_complex/test/witness_complex_points.cpp +++ /dev/null @@ -1,58 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2016 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#define BOOST_TEST_DYN_LINK -#define BOOST_TEST_MODULE "witness_complex_points" -#include -#include - -#include -#include -#include -#include - -#include -#include - -typedef std::vector Point; -typedef std::vector< Vertex_handle > typeVectorVertex; -typedef Gudhi::Simplex_tree<> Simplex_tree; -typedef Gudhi::witness_complex::Witness_complex WitnessComplex; - -BOOST_AUTO_TEST_CASE(witness_complex_points) { - std::vector< typeVectorVertex > knn; - std::vector< Point > points, landmarks; - // Add grid points as witnesses - for (double i = 0; i < 10; i += 1.0) - for (double j = 0; j < 10; j += 1.0) - for (double k = 0; k < 10; k += 1.0) - points.push_back(Point({i, j, k})); - - bool b_print_output = false; - // First test: random choice - Simplex_tree complex1; - Gudhi::subsampling::pick_n_random_points(points, 100, std::back_inserter(landmarks)); - Gudhi::witness_complex::construct_closest_landmark_table(points, landmarks, knn); - assert(!knn.empty()); - WitnessComplex witnessComplex1(knn, 100, 3, complex1); - BOOST_CHECK(witnessComplex1.is_witness_complex(knn, b_print_output)); -} -- cgit v1.2.3 From d1ec002edb5b3e1d72770418e55665cca58131c9 Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Mon, 10 Oct 2016 11:02:15 +0000 Subject: Fix cmake issues git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1682 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: e2570097e2fe1091b9beb5ef7e44d6dbd01d0ced --- src/Witness_complex/example/CMakeLists.txt | 15 +++++++++++++-- src/Witness_complex/test/test_simple_witness_complex.cpp | 3 +++ 2 files changed, 16 insertions(+), 2 deletions(-) diff --git a/src/Witness_complex/example/CMakeLists.txt b/src/Witness_complex/example/CMakeLists.txt index 38cfa821..848239b5 100644 --- a/src/Witness_complex/example/CMakeLists.txt +++ b/src/Witness_complex/example/CMakeLists.txt @@ -7,12 +7,23 @@ if(CGAL_FOUND) if (EIGEN3_FOUND) add_executable( Witness_complex_example_off example_witness_complex_off.cpp ) add_executable ( Witness_complex_example_sphere example_witness_complex_sphere.cpp ) + add_executable ( Witness_complex_example_witness_persistence example_witness_complex_persistence.cpp ) target_link_libraries(Witness_complex_example_witness_persistence ${Boost_PROGRAM_OPTIONS_LIBRARY}) - add_test(Witness_complex_test_torus_persistence src/Witness_complex/example/Witness_complex_example_witncess_complex_persistence ../data/points/tore3D_1307.off -l 20 -a 0.5) + add_executable ( Witness_complex_example_strong_witness_persistence example_strong_witness_persistence.cpp ) target_link_libraries(Witness_complex_example_strong_witness_persistence ${Boost_PROGRAM_OPTIONS_LIBRARY}) - add_test(Witness_complex_test_torus_persistence src/Witness_complex/example/Witness_complex_example_strong_witness_persistence ../data/points/tore3D_1307.off -l 20 -a 0.5) + if (TBB_FOUND) + target_link_libraries(Witness_complex_example_witness_persistence ${TBB_LIBRARIES}) + target_link_libraries(Witness_complex_example_strong_witness_persistence ${TBB_LIBRARIES}) + endif() + + add_test(Witness_complex_test_torus_persistence + ${CMAKE_CURRENT_BINARY_DIR}/Witness_complex_example_witness_persistence + ${CMAKE_SOURCE_DIR}/data/points/tore3D_1307.off -l 20 -a 0.5) + add_test(Witness_complex_test_torus_persistence + ${CMAKE_CURRENT_BINARY_DIR}/Witness_complex_example_strong_witness_persistence + ${CMAKE_SOURCE_DIR}/data/points/tore3D_1307.off -l 20 -a 0.5) endif(EIGEN3_FOUND) endif (NOT CGAL_VERSION VERSION_LESS 4.6.0) endif() diff --git a/src/Witness_complex/test/test_simple_witness_complex.cpp b/src/Witness_complex/test/test_simple_witness_complex.cpp index abd0a0dd..759ee14d 100644 --- a/src/Witness_complex/test/test_simple_witness_complex.cpp +++ b/src/Witness_complex/test/test_simple_witness_complex.cpp @@ -85,10 +85,12 @@ BOOST_AUTO_TEST_CASE(simple_witness_complex) { witnesses.end()); witness_complex.create_complex(complex, 0); + std::cout << "complex.num_simplices() = " << complex.num_simplices() << std::endl; BOOST_CHECK(complex.num_simplices() == 24); witness_complex.create_complex(relaxed_complex, 8.01); + std::cout << "relaxed_complex.num_simplices() = " << relaxed_complex.num_simplices() << std::endl; BOOST_CHECK(relaxed_complex.num_simplices() == 239); StrongWitnessComplex strong_witness_complex(landmarks.begin(), @@ -98,6 +100,7 @@ BOOST_AUTO_TEST_CASE(simple_witness_complex) { strong_witness_complex.create_complex(strong_relaxed_complex, 9.1); + std::cout << "strong_relaxed_complex.num_simplices() = " << strong_relaxed_complex.num_simplices() << std::endl; BOOST_CHECK(strong_relaxed_complex.num_simplices() == 239); } -- cgit v1.2.3 From c40e693be35b97684c102c17424205f3a6379f16 Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Mon, 10 Oct 2016 14:35:09 +0000 Subject: Modify witness complex representation git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1684 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: c11cfb9da10c1987cc1fc218b3e13d64b7ba7a52 --- src/Witness_complex/doc/Witness_complex_doc.h | 2 +- .../doc/Witness_complex_representation.ipe | 280 +++++++++++++++++++++ .../doc/Witness_complex_representation.png | Bin 48899 -> 21202 bytes 3 files changed, 281 insertions(+), 1 deletion(-) create mode 100644 src/Witness_complex/doc/Witness_complex_representation.ipe diff --git a/src/Witness_complex/doc/Witness_complex_doc.h b/src/Witness_complex/doc/Witness_complex_doc.h index 1d6e9da2..14cb92ad 100644 --- a/src/Witness_complex/doc/Witness_complex_doc.h +++ b/src/Witness_complex/doc/Witness_complex_doc.h @@ -6,7 +6,7 @@ \author Siargey Kachanovich - \image html "Witness_complex_representation.png" "Witness complex representation in a Simplex tree (from \cite boissonnatmariasimplextreealgorithmica)" + \image html "Witness_complex_representation.png" "Witness complex representation" \section Definitions diff --git a/src/Witness_complex/doc/Witness_complex_representation.ipe b/src/Witness_complex/doc/Witness_complex_representation.ipe new file mode 100644 index 00000000..f9c45d5d --- /dev/null +++ b/src/Witness_complex/doc/Witness_complex_representation.ipe @@ -0,0 +1,280 @@ + + + + + + + +0 0 m +-1 0.333 l +-1 -0.333 l +h + + + + +0 0 m +-1 0.333 l +-1 -0.333 l +h + + + + +0 0 m +-1 0.333 l +-0.8 0 l +-1 -0.333 l +h + + + + +0 0 m +-1 0.333 l +-0.8 0 l +-1 -0.333 l +h + + + + +0.6 0 0 0.6 0 0 e +0.4 0 0 0.4 0 0 e + + + + +0.6 0 0 0.6 0 0 e + + + + + +0.5 0 0 0.5 0 0 e + + +0.6 0 0 0.6 0 0 e +0.4 0 0 0.4 0 0 e + + + + + +-0.6 -0.6 m +0.6 -0.6 l +0.6 0.6 l +-0.6 0.6 l +h +-0.4 -0.4 m +0.4 -0.4 l +0.4 0.4 l +-0.4 0.4 l +h + + + + +-0.6 -0.6 m +0.6 -0.6 l +0.6 0.6 l +-0.6 0.6 l +h + + + + + +-0.5 -0.5 m +0.5 -0.5 l +0.5 0.5 l +-0.5 0.5 l +h + + +-0.6 -0.6 m +0.6 -0.6 l +0.6 0.6 l +-0.6 0.6 l +h +-0.4 -0.4 m +0.4 -0.4 l +0.4 0.4 l +-0.4 0.4 l +h + + + + + + +-0.43 -0.57 m +0.57 0.43 l +0.43 0.57 l +-0.57 -0.43 l +h + + +-0.43 0.57 m +0.57 -0.43 l +0.43 -0.57 l +-0.57 0.43 l +h + + + + + +0 0 m +-1 0.333 l +-1 -0.333 l +h + + + + +0 0 m +-1 0.333 l +-0.8 0 l +-1 -0.333 l +h + + + + +0 0 m +-1 0.333 l +-0.8 0 l +-1 -0.333 l +h + + + + +-1 0.333 m +0 0 l +-1 -0.333 l + + + + +0 0 m +-1 0.333 l +-1 -0.333 l +h +-1 0 m +-2 0.333 l +-2 -0.333 l +h + + + + +0 0 m +-1 0.333 l +-1 -0.333 l +h +-1 0 m +-2 0.333 l +-2 -0.333 l +h + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +48.8262 0 0 48.8262 288 672 e + +$\omega$ + +284 720 m +280 624 l +268 648 l +h + + + + +$\sigma$ + + + + + + + + + diff --git a/src/Witness_complex/doc/Witness_complex_representation.png b/src/Witness_complex/doc/Witness_complex_representation.png index 1d31a490..16e0504e 100644 Binary files a/src/Witness_complex/doc/Witness_complex_representation.png and b/src/Witness_complex/doc/Witness_complex_representation.png differ -- cgit v1.2.3 From d6c9231c55b273f50b870ce85c5fafefd4fe3cf6 Mon Sep 17 00:00:00 2001 From: skachano Date: Mon, 10 Oct 2016 15:20:40 +0000 Subject: Fixed the numerical_limits::max + 1 bug git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1685 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 31f100f0a7a56a81cc920768e07ecb001e6e1b26 --- src/Witness_complex/include/gudhi/Strong_witness_complex.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index e64f8f20..aa313c40 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -128,7 +128,7 @@ private: template < typename SimplicialComplexForWitness > bool create_complex(SimplicialComplexForWitness& complex, FT max_alpha_square, - Landmark_id limit_dimension = std::numeric_limits::max()) + Landmark_id limit_dimension = std::numeric_limits::max()-1) { std::size_t nbL = landmarks_.size(); Landmark_id complex_dim = 0; -- cgit v1.2.3 From 58fb4af3144a70c1ef16dd29452fbca0d759112c Mon Sep 17 00:00:00 2001 From: skachano Date: Tue, 18 Oct 2016 12:14:58 +0000 Subject: Vincent remark no1 git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1728 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 2517b99bf2a767194058bb723fec4a8bd76c52df --- .../Alvarez_surface_deg9_k2_D8_from_42K_to_34K.txt | 33904 ------------- data/Alvarez_variete_k2_D4_300k_to_31k_2x2.txt | 30979 ------------ data/Alvarez_variete_k2_D8_900k_to_50k_2x2.txt | 50329 ------------------- 3 files changed, 115212 deletions(-) delete mode 100644 data/Alvarez_surface_deg9_k2_D8_from_42K_to_34K.txt delete mode 100644 data/Alvarez_variete_k2_D4_300k_to_31k_2x2.txt delete mode 100644 data/Alvarez_variete_k2_D8_900k_to_50k_2x2.txt diff --git a/data/Alvarez_surface_deg9_k2_D8_from_42K_to_34K.txt b/data/Alvarez_surface_deg9_k2_D8_from_42K_to_34K.txt deleted file mode 100644 index d0a34713..00000000 --- a/data/Alvarez_surface_deg9_k2_D8_from_42K_to_34K.txt +++ /dev/null @@ -1,33904 +0,0 @@ -33903 -1 0 0 0 0 0 0 0 -0 1 0 0 0 0 0 0 -0 0 0 0 0 0 0 0 -0.278857 0.378905 -0.313338 0.0864849 -0.164446 0.261521 0.265888 -0.242856 -0.378905 0.342238 0.265888 -0.242856 -0.313338 -0.0864849 -0.164446 -0.261521 -0.342238 0.278857 -0.164446 -0.261521 0.265888 0.242856 -0.313338 0.0864849 -0.278602 0.379475 -0.198216 0.257745 -0.164295 0.261281 0.358612 -0.0338969 -0.379475 0.341924 0.358612 -0.0338969 -0.198216 -0.257745 -0.164295 -0.261281 -0.341924 0.278602 -0.164295 -0.261281 0.358612 0.0338969 -0.198216 0.257745 -0.280494 0.37526 -0.00340813 0.324417 -0.165411 0.263055 0.306258 0.188117 -0.37526 0.344246 0.306258 0.188117 -0.00340813 -0.324417 -0.165411 -0.263055 -0.344246 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a/data/Alvarez_variete_k2_D4_300k_to_31k_2x2.txt b/data/Alvarez_variete_k2_D4_300k_to_31k_2x2.txt deleted file mode 100644 index 8c0cf027..00000000 --- a/data/Alvarez_variete_k2_D4_300k_to_31k_2x2.txt +++ /dev/null @@ -1,30979 +0,0 @@ -30978 --1.91581 -0.328737 2.74163 0.645931 --1.91581 -0.328737 -2.49207 -0.736711 --1.91581 -0.328737 -0.24956 0.0907799 --0.564313 0.358599 -0.389059 0.877163 --0.564313 0.358599 0.866282 -0.278234 --0.564313 0.358599 -0.477223 -0.598929 -0.100097 0.512595 -0.772565 -0.386924 -0.100097 0.512595 0.103097 0.774542 -0.100097 0.512595 0.669468 -0.387618 -1.66582 -0.200802 0.547006 2.19371 -1.66582 -0.200802 -0.206644 -2.11699 -1.66582 -0.200802 -0.340363 -0.0767226 --1.66196 -1.06205 -1.77639 -2.20224 --1.66196 -1.06205 1.8852 1.97097 --1.66196 -1.06205 -0.108809 0.231268 -1.60926 1.47116 2.89818 -1.53058 -1.60926 1.47116 -2.88018 1.32142 -1.60926 1.47116 -0.0179979 0.209162 -0.408039 -0.772173 -1.11826 0.284418 -0.408039 -0.772173 0.906307 0.437272 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--0.065413 1.7123 0.336529 -0.0330366 -1.80455 1.1567 2.4132 -2.1529 -1.80455 1.1567 -2.32275 1.95416 -1.80455 1.1567 -0.0904478 0.198736 --1.0418 1.44515 -0.402669 2.48811 --1.0418 1.44515 0.299419 -2.18465 --1.0418 1.44515 0.10325 -0.303456 -0.719089 -1.02117 -1.53792 0.0426806 -0.719089 -1.02117 1.37386 0.489236 -0.719089 -1.02117 0.164057 -0.531917 -0.906998 -1.11811 1.67492 0.634292 -0.906998 -1.11811 -1.76953 -0.1927 -0.906998 -1.11811 0.0946052 -0.441592 -1.58034 -0.876964 1.75012 1.87964 -1.58034 -0.876964 -1.58747 -1.61484 -1.58034 -0.876964 -0.162656 -0.264806 --0.0956643 -0.116547 -0.121432 -0.520416 --0.0956643 -0.116547 0.507818 0.156008 --0.0956643 -0.116547 -0.386386 0.364408 --0.962661 1.73514 0.0113168 2.89833 --0.962661 1.73514 -0.147822 -2.68322 --0.962661 1.73514 0.136506 -0.21511 --0.580641 0.669501 -0.30399 1.15817 --0.580641 0.669501 0.757978 -0.454456 --0.580641 0.669501 -0.453988 -0.703713 --1.00662 -1.13379 -0.584794 -1.96799 --1.00662 -1.13379 0.542369 1.50955 --1.00662 -1.13379 0.0424259 0.458442 -1.02738 -0.37623 0.784847 1.19882 -1.02738 -0.37623 -0.0439243 -0.99145 -1.02738 -0.37623 -0.740923 -0.20737 --1.95515 -1.50395 -2.12768 -3.30324 --1.95515 -1.50395 2.17011 3.1445 --1.95515 -1.50395 -0.042432 0.158741 -0.0179264 0.299166 -0.594579 -0.333376 -0.0179264 0.299166 0.0265897 0.666947 -0.0179264 0.299166 0.567989 -0.333571 --1.4038 1.52292 -0.981039 2.92838 --1.4038 1.52292 0.962697 -2.69473 --1.4038 1.52292 0.0183418 -0.233651 --0.635902 -1.56165 0.339308 -2.2678 --0.635902 -1.56165 -0.59334 2.03053 --0.635902 -1.56165 0.254033 0.237267 --0.00178294 -0.581334 -0.761131 0.486122 --0.00178294 -0.581334 0.0778416 -0.835264 --0.00178294 -0.581334 0.68329 0.349142 --0.713914 -1.24529 -0.0834803 -1.90601 --0.713914 -1.24529 -0.201904 1.49832 --0.713914 -1.24529 0.285384 0.407692 --1.80257 -0.734185 2.3694 1.40467 --1.80257 -0.734185 -2.18283 -1.58827 --1.80257 -0.734185 -0.186568 0.183599 -0.182817 -1.69123 -1.95262 1.33521 -0.182817 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1.87772 2.81722 --1.79069 -1.41753 -0.0445739 0.186446 --1.2246 0.231198 1.58539 -0.320949 --1.2246 0.231198 -1.06241 0.650888 --1.2246 0.231198 -0.522984 -0.329938 --1.67128 -1.88352 -1.20275 -3.8896 --1.67128 -1.88352 1.18405 3.73277 --1.67128 -1.88352 0.0187038 0.156827 -0.287481 0.697106 -0.996744 -0.350255 -0.287481 0.697106 0.801003 -0.415932 -0.287481 0.697106 0.195741 0.766186 -0.591181 -1.58496 -2.25599 0.642845 -0.591181 -1.58496 1.99315 -0.404872 -0.591181 -1.58496 0.26284 -0.237973 --1.33679 1.05174 -1.17202 2.02397 --1.33679 1.05174 1.26117 -1.69093 --1.33679 1.05174 -0.0891468 -0.333037 --0.554759 0.924868 -0.139086 1.40161 --0.554759 0.924868 -0.437669 -0.927169 --0.554759 0.924868 0.576755 -0.474445 --0.561761 0.540583 -0.335715 1.03079 --0.561761 0.540583 0.811025 -0.386915 --0.561761 0.540583 -0.47531 -0.643876 --0.124892 1.36952 -1.20675 -1.28034 --0.124892 1.36952 0.726277 1.40084 --0.124892 1.36952 0.480472 -0.120502 -0.167414 1.80492 -2.08521 -1.5011 -0.167414 1.80492 1.78259 1.44854 -0.167414 1.80492 0.30262 0.0525644 --0.652685 0.581268 -0.407616 1.09916 --0.652685 0.581268 0.842282 -0.451228 --0.652685 0.581268 -0.434666 -0.647935 --1.34189 0.455598 1.68314 -0.688868 --1.34189 0.455598 -1.3247 0.99371 --1.34189 0.455598 -0.358445 -0.304842 --0.307067 0.911411 0.0812987 1.21387 --0.307067 0.911411 -0.700061 -0.873264 --0.307067 0.911411 0.618763 -0.340606 --0.288348 -1.70726 -1.31725 1.92307 --0.288348 -1.70726 1.00893 -2.03291 --0.288348 -1.70726 0.308317 0.109836 -1.59002 -0.441623 0.975219 2.04142 -1.59002 -0.441623 -0.652686 -1.86007 -1.59002 -0.441623 -0.322533 -0.18135 --1.07766 -1.80479 -0.116216 -3.14305 --1.07766 -1.80479 0.00761568 2.94366 --1.07766 -1.80479 0.1086 0.199384 -0.552253 0.0824388 0.437571 -0.761811 -0.552253 0.0824388 0.319925 0.775508 -0.552253 0.0824388 -0.757495 -0.0136966 --1.49906 -1.94149 -0.786704 -3.84233 --1.49906 -1.94149 0.744541 3.68123 --1.49906 -1.94149 0.0421631 0.161093 -1.19799 1.70755 -3.03041 0.293203 -1.19799 1.70755 2.95312 -0.508378 -1.19799 1.70755 0.0772929 0.215174 -0.227864 1.76297 -2.1054 -1.36437 -0.227864 1.76297 1.79404 1.28647 -0.227864 1.76297 0.311359 0.077902 --1.21273 -1.66845 -0.497787 -3.0318 --1.21273 -1.66845 0.424354 2.80701 --1.21273 -1.66845 0.0734331 0.224789 --1.25939 -1.17788 -0.966722 -2.19969 --1.25939 -1.17788 0.996173 1.86097 --1.25939 -1.17788 -0.0294508 0.338716 -0.494547 1.05458 -1.45971 -0.345076 -0.494547 1.05458 1.16424 -0.237822 -0.494547 1.05458 0.295464 0.582898 -1.37999 0.388333 0.854818 -1.69666 -1.37999 0.388333 -0.415052 1.47512 -1.37999 0.388333 -0.439766 0.221546 -1.50812 1.52639 2.91829 -1.28285 -1.50812 1.52639 -2.92158 1.06645 -1.50812 1.52639 0.00329291 0.216402 --0.792041 0.802516 -0.475258 1.39562 --0.792041 0.802516 0.745549 -0.696392 --0.792041 0.802516 -0.270291 -0.699225 --1.29794 1.21774 -1.00886 2.29322 --1.29794 1.21774 1.03413 -1.97566 --1.29794 1.21774 -0.0252691 -0.317564 --1.99413 1.47534 -2.23367 3.26696 --1.99413 1.47534 2.28145 -3.1117 --1.99413 1.47534 -0.0477784 -0.15526 -0.458138 -0.408879 0.679163 0.626252 -0.458138 -0.408879 -0.858282 0.11958 -0.458138 -0.408879 0.179119 -0.745832 --1.5953 1.32094 -1.49865 2.67702 --1.5953 1.32094 1.54355 -2.44811 --1.5953 1.32094 -0.0449019 -0.228907 -1.04925 -1.95166 -3.35249 0.230561 -1.04925 -1.95166 3.2409 -0.0604712 -1.04925 -1.95166 0.111586 -0.17009 -0.0183789 -1.61386 -1.64752 1.44185 -0.0183789 -1.61386 1.26376 -1.44655 -0.0183789 -1.61386 0.383759 0.00470325 --0.273432 0.772029 0.012389 1.08499 --0.273432 0.772029 -0.679663 -0.740595 --0.273432 0.772029 0.667274 -0.344399 --0.646028 1.72107 0.509197 2.51741 --0.646028 1.72107 -0.732249 -2.32676 --0.646028 1.72107 0.223052 -0.190651 -1.20511 1.98367 -3.57884 0.0389876 -1.20511 1.98367 3.49379 -0.203621 -1.20511 1.98367 0.0850455 0.164634 --0.659965 -0.197642 0.967453 0.171318 --0.659965 -0.197642 -0.485125 -0.771116 --0.659965 -0.197642 -0.482327 0.599798 --1.76895 -1.12325 -1.96277 -2.3788 --1.76895 -1.12325 2.06008 2.17386 --1.76895 -1.12325 -0.097318 0.204935 --1.7558 1.53487 -1.67625 3.22545 --1.7558 1.53487 1.70131 -3.04314 --1.7558 1.53487 -0.0250621 -0.182303 -1.60126 -1.49072 2.93025 1.49796 -1.60126 -1.49072 -2.9161 -1.28996 -1.60126 -1.49072 -0.0141495 -0.208002 -0.949996 0.861545 1.36642 -0.897464 -0.949996 0.861545 -1.37106 0.34235 -0.949996 0.861545 0.00463641 0.555114 --1.22705 -1.16084 -0.921945 -2.15072 --1.22705 -1.16084 0.949666 1.79658 -1.86246 0.700868 1.53099 -2.48788 -1.86246 0.700868 -1.33904 2.32122 -1.86246 0.700868 -0.191955 0.166656 --0.812118 -1.84459 0.389431 -2.91394 --0.812118 -1.84459 -0.556648 2.73389 --0.812118 -1.84459 0.167216 0.180051 --0.502885 -0.816069 -0.154899 -1.2601 --0.502885 -0.816069 -0.497841 0.818757 --0.502885 -0.816069 0.65274 0.44134 -0.257645 1.02754 -1.26893 -0.580465 -0.257645 1.02754 0.876801 -0.173075 -0.257645 1.02754 0.392124 0.75354 --1.7806 1.5983 -1.68031 3.37837 --1.7806 1.5983 1.69948 -3.2046 --1.7806 1.5983 -0.0191664 -0.173768 --0.35916 1.59664 -1.0908 -1.82549 --0.35916 1.59664 0.763303 1.98092 --0.35916 1.59664 0.327496 -0.155434 --0.87312 1.07038 -0.432239 1.78861 --0.87312 1.07038 0.321052 -1.1896 --0.87312 1.07038 0.111187 -0.599004 --1.81169 1.5472 -1.78537 3.29323 --1.81169 1.5472 1.81335 -3.1192 --1.81169 1.5472 -0.0279789 -0.174037 -1.60472 1.17799 2.3243 -1.74702 -1.60472 1.17799 -2.25042 1.50518 -1.60472 1.17799 -0.0738816 0.241842 -0.0899483 0.581439 -0.811107 -0.429373 -0.0899483 0.581439 0.117311 0.804376 -0.0899483 0.581439 0.693795 -0.375003 --1.92145 0.242725 2.76957 -0.477175 --1.92145 0.242725 -2.51027 0.545904 --1.92145 0.242725 -0.259303 -0.0687284 -1.41924 -1.6113 2.99968 1.02995 -1.41924 -1.6113 -3.02728 -0.815786 -1.41924 -1.6113 0.0275945 -0.214166 --0.661043 0.804358 -0.323594 1.33473 --0.661043 0.804358 0.686353 -0.558875 --0.661043 0.804358 -0.362759 -0.775857 --1.73125 -1.34917 -1.75467 -2.82202 --1.73125 -1.34917 1.80618 2.62101 --1.73125 -1.34917 -0.0515106 0.201008 --1.19048 0.424606 1.47471 -0.577797 --1.19048 0.424606 -1.07317 0.959844 --1.19048 0.424606 -0.401539 -0.382048 --0.0486842 -0.513643 -0.697018 0.477654 --0.0486842 -0.513643 0.0300861 -0.81595 --0.0486842 -0.513643 0.666932 0.338296 -0.703866 -0.319852 0.662804 0.857663 -0.703866 -0.319852 0.173179 -0.835134 -0.703866 -0.319852 -0.835983 -0.0225283 --1.97033 -0.487815 2.80756 0.979834 --1.97033 -0.487815 -2.5939 -1.09444 --1.97033 -0.487815 -0.213662 0.114611 -0.310967 1.68233 -2.09527 -1.15194 -0.310967 1.68233 1.76766 1.02936 -0.310967 1.68233 0.327615 0.122573 --1.30616 -1.18927 -1.04113 -2.24828 --1.30616 -1.18927 1.07691 1.92734 --1.30616 -1.18927 -0.0357734 0.320941 -1.53244 -1.48455 2.85827 1.36768 -1.53244 -1.48455 -2.85216 -1.14878 -1.53244 -1.48455 -0.00611424 -0.218903 --1.9525 -0.499408 -2.5528 -1.11716 -1.07254 1.13424 1.84588 -0.862002 -1.07254 1.13424 -1.87624 0.466853 -1.07254 1.13424 0.0303617 0.395149 -0.7182 0.727443 1.06464 -0.715594 -0.7182 0.727443 -1.16774 0.0414317 -0.7182 0.727443 0.103098 0.674162 -0.942725 1.51385 -2.45562 -0.0097897 -0.942725 1.51385 2.32191 -0.270639 -0.942725 1.51385 0.13371 0.280429 --0.660381 1.03735 -0.180026 1.60066 --0.660381 1.03735 -0.264976 -1.06985 --0.660381 1.03735 0.445002 -0.530808 -1.53124 -1.92991 -3.79426 -0.766958 -1.53124 -1.92991 3.75688 0.92712 -1.53124 -1.92991 0.0373869 -0.160162 -0.304429 0.522827 -0.87687 -0.257922 -0.304429 0.522827 0.714932 -0.48894 -0.304429 0.522827 0.161938 0.746862 --0.742054 0.361261 -0.539024 0.908363 --0.742054 0.361261 1.00093 -0.327841 --0.742054 0.361261 -0.461902 -0.580523 --1.00344 1.32892 -0.437558 2.26817 --1.00344 1.32892 0.333697 -1.91147 --1.00344 1.32892 0.103861 -0.3567 --1.20435 1.30265 -0.788819 2.37727 --1.20435 1.30265 0.766627 -2.05511 --1.20435 1.30265 0.0221918 -0.32215 -1.35161 -0.55859 1.1182 1.61615 -1.35161 -0.55859 -0.747732 -1.2754 -1.35161 -0.55859 -0.370472 -0.340746 --1.5655 0.382533 2.0769 -0.65212 --1.5655 0.382533 -1.74375 0.84001 --1.5655 0.382533 -0.333155 -0.18789 --0.634527 -1.23548 0.011352 -1.82362 --0.634527 -1.23548 -0.351074 1.43657 --0.634527 -1.23548 0.339722 0.387051 --1.15521 -1.38081 -0.645985 -2.47387 --1.15521 -1.38081 0.591501 2.16489 --1.15521 -1.38081 0.0544842 0.30898 --1.95312 0.659763 2.70799 -1.32479 --1.95312 0.659763 -2.52233 1.46776 --1.95312 0.659763 -0.185657 -0.14297 -1.20794 0.17634 0.532177 -1.44773 -1.20794 0.17634 0.0463982 1.34671 -1.20794 0.17634 -0.578575 0.101022 --1.59918 -1.98904 -0.947025 -4.0425 --1.59918 -1.98904 0.914012 3.89234 --1.59918 -1.98904 0.0330125 0.150156 -1.01541 1.8442 -3.11549 -0.182756 -1.01541 1.8442 2.99605 -0.00810571 -1.01541 1.8442 0.119445 0.190862 -0.568952 -0.374987 0.680936 0.724508 -0.568952 -0.374987 -0.861174 0.049291 -0.568952 -0.374987 0.180238 -0.773799 --0.276912 -1.75603 -1.38978 1.98592 --0.276912 -1.75603 1.09404 -2.08405 --0.276912 -1.75603 0.295737 0.0981278 --0.156495 -1.45132 -1.24295 1.41629 --0.156495 -1.45132 0.809993 -1.52965 --0.156495 -1.45132 0.432957 0.113363 -0.6148 -1.34458 -1.9238 0.393571 -0.6148 -1.34458 1.64785 -0.0294888 -0.6148 -1.34458 0.275944 -0.364082 --0.117992 -1.40662 -1.25029 1.32093 --0.117992 -1.40662 0.78616 -1.42755 --0.117992 -1.40662 0.464125 0.106615 --1.23303 0.54121 1.47753 -0.764256 --1.23303 0.54121 -1.14556 1.13948 --1.23303 0.54121 -0.33197 -0.375221 --1.74191 -1.48152 -1.6863 -3.10357 --1.74191 -1.48152 1.71759 2.91478 --1.74191 -1.48152 -0.0312813 0.188787 --0.0916285 -1.15968 -1.06772 1.00612 --0.0916285 -1.15968 0.474673 -1.18733 --0.0916285 -1.15968 0.593046 0.181203 --0.731322 -0.426807 -0.521049 -0.968064 --0.731322 -0.426807 0.968943 0.378478 --0.731322 -0.426807 -0.447893 0.589586 --0.651234 0.401087 -0.452445 0.930824 --0.651234 0.401087 0.916395 -0.330711 --0.651234 0.401087 -0.463949 -0.600113 --0.107216 1.54773 -1.40719 -1.49543 --0.107216 1.54773 1.00765 1.56602 --0.107216 1.54773 0.399538 -0.0705883 -0.248434 -0.907271 -1.15054 0.504465 -0.248434 -0.907271 0.851062 0.276779 -0.248434 -0.907271 0.299482 -0.781244 -0.749081 -0.559888 0.910925 0.830033 -0.749081 -0.559888 -0.997107 -0.0760855 -0.749081 -0.559888 0.0861822 -0.753947 -1.41961 1.15558 2.15278 -1.4215 -1.41961 1.15558 -2.09651 1.12887 -1.41961 1.15558 -0.0562653 0.292632 --1.66578 -0.143731 2.30336 0.255277 --1.66578 -0.143731 -1.94382 -0.324278 --1.66578 -0.143731 -0.359539 0.0690008 -1.63693 -1.68091 3.34775 1.3986 -1.63693 -1.68091 -3.35285 -1.21737 -1.63693 -1.68091 0.0050982 -0.181225 -0.0492734 1.65541 -1.73749 -1.45879 -0.0492734 1.65541 1.37161 1.44773 -0.0492734 1.65541 0.365877 0.0110621 --1.10012 -0.48262 1.32652 0.612231 --1.10012 -0.48262 -0.946052 -1.05169 --1.10012 -0.48262 -0.380473 0.439459 -1.78351 0.00519187 0.164751 -2.39769 -1.78351 0.00519187 0.144409 2.39599 -1.78351 0.00519187 -0.309161 0.00169894 -0.946783 -0.118012 0.477571 1.11949 -0.946783 -0.118012 0.23432 -1.07363 -0.946783 -0.118012 -0.711891 -0.0458631 -1.62587 0.0698692 0.311186 -2.10945 -1.62587 0.0698692 0.0543224 2.0811 -1.62587 0.0698692 -0.365509 0.0283542 -1.33486 1.30073 2.34462 -1.15681 -1.33486 1.30073 -2.33992 0.871336 -1.33486 1.30073 -0.00470055 0.285469 -0.634678 1.68986 -2.46202 -0.6813 -0.634678 1.68986 2.23167 0.474263 -0.634678 1.68986 0.23035 0.207037 --1.52962 1.34438 -1.35464 2.67943 --1.52962 1.34438 1.38724 -2.43998 --1.52962 1.34438 -0.0325969 -0.239448 -1.52915 0.750514 1.50099 -1.84539 -1.52915 0.750514 -1.28509 1.56538 -1.52915 0.750514 -0.215896 0.280003 --1.01943 -1.94139 0.140398 -3.32518 --1.01943 -1.94139 -0.259268 3.15428 --1.01943 -1.94139 0.11887 0.170899 -1.3533 -1.12453 2.05023 1.32766 -1.3533 -1.12453 -1.99721 -1.0102 -1.3533 -1.12453 -0.0530178 -0.31746 --0.796546 -1.6606 0.204801 -2.59574 --0.796546 -1.6606 -0.392373 2.36855 --0.796546 -1.6606 0.187573 0.227194 -0.069668 -1.60889 -1.70728 1.37443 -0.069668 -1.60889 1.3192 -1.35459 -0.069668 -1.60889 0.388079 -0.0198414 --0.950848 -1.90265 0.218503 -3.1765 --0.950848 -1.90265 -0.352149 3.00032 --0.950848 -1.90265 0.133646 0.176181 --0.821467 -1.01667 -0.396639 -1.68274 --0.821467 -1.01667 0.314555 0.867862 --0.821467 -1.01667 0.0820837 0.81488 -1.34889 0.00805461 0.262013 -1.62726 -1.34889 0.00805461 0.236956 1.62293 -1.34889 0.00805461 -0.498969 0.00433714 --1.19703 1.41376 -0.691964 2.56372 --1.19703 1.41376 0.64411 -2.27225 --1.19703 1.41376 0.0478535 -0.291469 --1.91756 -0.710898 2.61226 1.4137 --1.91756 -0.710898 -2.43251 -1.56946 --1.91756 -0.710898 -0.179746 0.155757 -1.75561 -1.81858 3.75157 1.51674 -1.75561 -1.81858 -3.75722 -1.36052 -1.75561 -1.81858 0.00565121 -0.15622 --0.350416 1.65591 -1.16511 -1.90963 --0.350416 1.65591 0.853742 2.04851 --0.350416 1.65591 0.311364 -0.138881 --0.939062 -1.26082 -0.39159 -2.11199 --0.939062 -1.26082 0.265354 1.70775 --0.939062 -1.26082 0.126236 0.40424 --0.180349 -1.19207 -0.992182 1.10958 --0.180349 -1.19207 0.447719 -1.31654 --0.180349 -1.19207 0.544464 0.206957 -0.593741 -0.250612 0.58046 0.772207 -0.593741 -0.250612 0.225102 -0.796566 -0.593741 -0.250612 -0.805563 0.0243594 -0.986204 -0.103756 0.458797 1.16209 -0.986204 -0.103756 0.234814 -1.11757 --1.09317 1.04817 -0.769919 1.88881 --1.09317 1.04817 0.811736 -1.44209 --1.09317 1.04817 -0.0418166 -0.44673 --1.45446 0.222088 1.933 -0.355834 --1.45446 0.222088 -1.4919 0.526941 --1.45446 0.222088 -0.441094 -0.171107 --0.186555 -0.528142 -0.0493696 -0.875039 --0.186555 -0.528142 -0.636318 0.55626 --0.186555 -0.528142 0.685687 0.31878 --0.739718 -1.78273 0.435194 -2.72632 --0.739718 -1.78273 -0.625735 2.53875 --0.739718 -1.78273 0.190541 0.187567 --1.69874 0.0718762 2.36839 -0.129423 --1.69874 0.0718762 -2.01538 0.162213 --1.69874 0.0718762 -0.353013 -0.03279 -0.700447 -1.08985 -1.62318 0.102288 -0.700447 -1.08985 1.433 0.398374 -0.700447 -1.08985 0.190171 -0.500661 -1.37195 -0.775536 1.475 1.56745 -1.37195 -0.775536 -1.26711 -1.2037 -1.37195 -0.775536 -0.207891 -0.363746 --0.110164 -1.35317 -1.21011 1.24639 --0.110164 -1.35317 0.717052 -1.36449 --0.110164 -1.35317 0.49306 0.118095 -1.48363 -1.83617 3.51261 0.929135 -1.48363 -1.83617 -3.55022 -0.754121 -1.48363 -1.83617 0.0376149 -0.175014 -0.4595 1.17455 -1.57942 -0.468686 -0.4595 1.17455 1.20949 -0.044378 -0.4595 1.17455 0.369935 0.513064 --0.455349 1.37741 0.375416 1.82058 --0.455349 1.37741 -0.746042 -1.56518 --0.455349 1.37741 0.370626 -0.255398 --1.3646 -1.30625 -1.06994 -2.4958 --1.3646 -1.30625 1.085 2.21406 --1.3646 -1.30625 -0.0150627 0.281739 --1.78734 -0.708818 2.35208 1.34695 --1.78734 -0.708818 -2.15772 -1.53161 --1.75698 1.31076 -1.83215 2.75902 --1.75698 1.31076 1.89217 -2.55995 --1.75698 1.31076 -0.0600253 -0.199061 --1.90495 0.105738 2.7536 -0.206379 --1.90495 0.105738 -2.47788 0.238292 --1.90495 0.105738 -0.275719 -0.031913 --0.599487 -0.511941 -0.378904 -1.01702 --0.599487 -0.511941 0.843057 0.38592 --0.599487 -0.511941 -0.464153 0.6311 --0.195082 -1.80555 -1.57373 1.96617 --0.195082 -1.80555 1.28132 -2.03336 --0.195082 -1.80555 0.292415 0.0671991 -0.995309 -1.49554 -2.46598 -0.0969688 -0.995309 -1.49554 2.35042 0.380022 -0.995309 -1.49554 0.11556 -0.283053 --0.565996 1.37425 0.233055 1.9352 --0.565996 1.37425 -0.56022 -1.6416 --0.565996 1.37425 0.327165 -0.293602 -0.123657 -0.931637 -1.08307 0.627905 -0.123657 -0.931637 0.315144 -0.875422 -0.123657 -0.931637 0.767928 0.247516 --1.05353 1.50044 -0.373449 2.59046 --1.05353 1.50044 0.269254 -2.30751 --1.05353 1.50044 0.104194 -0.282953 -0.338318 -1.53527 -1.92714 0.950299 -0.338318 -1.53527 1.5417 -0.773076 -0.338318 -1.53527 0.385435 -0.177223 -1.48519 0.1967 0.546924 -1.87586 -1.48519 0.1967 -0.128129 1.78051 -1.48519 0.1967 -0.418795 0.0953492 --1.26019 -0.567979 1.50266 0.819118 --1.26019 -0.567979 -1.18818 -1.1838 --1.26019 -0.567979 -0.314476 0.364684 --1.11561 -0.351371 1.40401 0.45028 --1.11561 -0.351371 -0.95111 -0.867931 --1.11561 -0.351371 -0.452904 0.417651 -0.994697 0.356005 0.754475 -1.16216 -0.994697 0.356005 -0.000183586 0.98371 -0.994697 0.356005 -0.754291 0.178446 --0.324456 0.0842507 0.706259 -0.0700839 --0.324456 0.0842507 -0.31206 0.622288 --0.324456 0.0842507 -0.3942 -0.552204 -0.357582 -1.58913 -2.02022 0.98257 -0.357582 -1.58913 1.66704 -0.815515 -0.357582 -1.58913 0.353184 -0.167055 --1.88063 0.0221263 2.71004 -0.0427969 --1.88063 0.0221263 -2.42391 0.0498318 --1.88063 0.0221263 -0.28613 -0.00703489 -0.703447 -0.925415 -1.4043 0.0244901 -0.703447 -0.925415 1.25611 0.558962 -0.703447 -0.925415 0.148182 -0.583452 --1.11812 -1.73747 -0.258832 -3.06413 --1.11812 -1.73747 0.160437 2.85033 --1.11812 -1.73747 0.0983954 0.213803 --0.270683 1.86366 -1.52634 -2.14786 --0.270683 1.86366 1.25918 2.2289 --0.270683 1.86366 0.267163 -0.0810356 -1.40565 0.821592 1.56744 -1.6014 -1.40565 0.821592 -1.3838 1.25921 -1.40565 0.821592 -0.183639 0.342181 --0.0462672 -0.566735 -0.728432 0.503997 --0.0462672 -0.566735 0.0498924 -0.844225 -1.17372 1.28149 2.17092 -0.895192 -1.17372 1.28149 -2.20227 0.571449 -1.81922 -0.849264 1.80799 2.34547 -1.81922 -0.849264 -1.64732 -2.15392 -1.81922 -0.849264 -0.160669 -0.191551 -1.01826 -1.01652 1.6272 0.877867 -1.01826 -1.01652 -1.64624 -0.420237 -1.01826 -1.01652 0.0190367 -0.45763 -0.418204 -0.323239 0.604247 0.61582 -0.418204 -0.323239 -0.800318 0.115957 -0.418204 -0.323239 0.196071 -0.731777 --0.580777 0.322898 -0.409662 0.852705 -1.3181 1.1703 2.10282 -1.23278 -1.3181 1.1703 -2.07041 0.914967 -1.3181 1.1703 -0.0324159 0.317817 -1.313 -0.848979 1.565 1.43501 -1.313 -0.848979 -1.40759 -1.04567 -1.313 -0.848979 -0.157408 -0.389335 -0.511166 1.54793 -2.12236 -0.724477 -0.511166 1.54793 1.81738 0.487341 -0.511166 1.54793 0.304979 0.237136 -0.677318 0.631334 0.9489 -0.727633 -0.677318 0.631334 -1.06357 0.00869341 -0.677318 0.631334 0.114674 0.71894 --1.0902 0.784755 -0.882918 1.48666 --1.0902 0.784755 1.09333 -1.00867 --1.0902 0.784755 -0.210414 -0.477986 -0.443889 1.29134 -1.71227 -0.580421 -0.443889 1.29134 1.30293 0.177518 -0.443889 1.29134 0.40934 0.402903 --0.0873972 1.39432 -1.27709 -1.27608 --0.0873972 1.39432 0.798465 1.37056 --0.0873972 1.39432 0.478626 -0.0944771 --1.58427 0.656475 1.99437 -1.14444 --1.58427 0.656475 -1.7607 1.38197 --1.58427 0.656475 -0.233672 -0.237532 -0.100721 1.11027 -1.21673 -0.795628 -0.100721 1.11027 0.496889 0.923675 -0.100721 1.11027 0.719842 -0.128048 -1.24101 0.374781 0.815799 -1.48727 -1.24101 0.374781 -0.26645 1.24213 -1.24101 0.374781 -0.549349 0.245144 -0.781373 -0.141421 0.503493 0.952212 -0.781373 -0.141421 0.261334 -0.927249 -0.781373 -0.141421 -0.764827 -0.0249627 --0.494496 1.72199 0.737446 2.33075 --0.494496 1.72199 -0.998514 -2.16948 --0.494496 1.72199 0.261067 -0.161276 --1.0961 0.552134 -0.938694 1.14974 --1.0961 0.552134 1.2821 -0.699659 --1.0961 0.552134 -0.343408 -0.450079 --0.099377 -0.577644 -0.705625 0.538944 --0.099377 -0.577644 0.0246208 -0.870962 --0.099377 -0.577644 0.681004 0.332019 -0.073928 -1.88403 -2.06635 1.73579 -0.073928 -1.88403 1.78488 -1.71693 -0.073928 -1.88403 0.281476 -0.0188604 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0.642297 --0.768337 -0.757107 -0.313003 0.688993 --0.421872 1.81096 0.962149 2.36558 --0.421872 1.81096 -1.21839 -2.23947 --0.421872 1.81096 0.256246 -0.126116 -1.10302 1.46379 -2.49205 0.315621 -1.10302 1.46379 2.41183 -0.598087 -1.10302 1.46379 0.0802176 0.282466 -0.0317106 1.96761 -2.12094 -1.91324 -0.0317106 1.96761 1.86258 1.90717 -0.0317106 1.96761 0.258365 0.00607221 --1.73784 1.35742 -1.76291 2.84332 --1.73784 1.35742 1.81348 -2.64405 --1.73784 1.35742 -0.0505643 -0.199268 --0.749679 -0.185297 1.04821 0.173201 --0.749679 -0.185297 -0.549025 -0.763404 --0.749679 -0.185297 -0.499182 0.590203 --0.963203 0.461509 1.1737 -0.516717 --0.963203 0.461509 -0.767249 1.02473 --0.963203 0.461509 -0.406456 -0.508009 -1.09366 1.76128 -3.037 0.0446334 -1.09366 1.76128 2.93516 -0.252747 -1.09366 1.76128 0.101838 0.208114 --1.15477 -1.95996 -0.0891009 -3.5131 --1.15477 -1.95996 -0.00516409 3.34403 --1.15477 -1.95996 0.094265 0.169073 -0.0897128 0.429226 -0.714942 -0.351462 -0.0897128 0.429226 0.0836903 0.738586 -0.0897128 0.429226 0.631252 -0.387124 --1.41491 -0.398218 1.82075 0.627398 --1.41491 -0.398218 -1.45085 -0.882669 --1.41491 -0.398218 -0.369903 0.255272 --1.23661 0.804335 -1.10467 1.5637 --1.23661 0.804335 1.30015 -1.16868 --1.23661 0.804335 -0.195481 -0.395028 -1.59109 -1.64783 3.2369 1.33596 -1.59109 -1.64783 -3.2439 -1.14596 -1.59109 -1.64783 0.00700877 -0.190006 --1.8201 -0.649552 2.44466 1.24581 --1.8201 -0.649552 -2.24 -1.41543 --1.8201 -0.649552 -0.20466 0.16962 -1.08418 -0.602364 1.09396 1.20954 -1.08418 -0.602364 -0.891443 -0.489806 -1.08418 -0.602364 -0.202517 -0.719734 -1.55973 -1.55327 3.01799 1.3602 -1.55973 -1.55327 -3.01771 -1.15439 -1.55973 -1.55327 -0.000272627 -0.205806 --1.72673 0.654875 2.26083 -1.21275 --1.72673 0.654875 -2.04519 1.40664 -0.454251 -0.773629 -1.14007 0.242255 -0.454251 -0.773629 0.936975 0.465021 --0.127292 1.26018 -1.10809 -1.14863 --0.127292 1.26018 0.575071 1.30657 --0.127292 1.26018 0.53302 -0.157941 -0.235275 0.163911 0.448607 -0.498368 -0.235275 0.163911 -0.646522 -0.120933 -0.235275 0.163911 0.197915 0.619301 --1.05033 0.639583 -0.862877 1.26702 --1.05033 0.639583 1.16417 -0.780343 --1.05033 0.639583 -0.301291 -0.486677 -0.272558 1.14934 -1.40415 -0.661329 -0.272558 1.14934 0.887028 -0.0229333 -0.272558 1.14934 0.517119 0.684263 --1.51507 1.46959 -1.23693 2.91259 --1.51507 1.46959 1.24475 -2.68751 --1.51507 1.46959 -0.0078167 -0.225077 --1.74325 0.541861 2.34186 -1.00488 --1.74325 0.541861 -2.09867 1.17665 --1.74325 0.541861 -0.243189 -0.17177 --0.162366 1.13033 -0.968746 -1.02619 --0.162366 1.13033 0.391606 1.24842 --0.162366 1.13033 0.57714 -0.222231 -0.0370062 1.21046 -1.24615 -0.950322 -0.0370062 1.21046 0.616284 1.04504 -0.0370062 1.21046 0.629862 -0.0947135 -1.92079 -0.37894 0.901841 2.67629 -1.92079 -0.37894 -0.660133 -2.57953 -1.92079 -0.37894 -0.241708 -0.0967592 -0.168046 -0.961647 -1.14152 0.613298 -0.168046 -0.961647 0.343896 -0.840688 -0.168046 -0.961647 0.797621 0.227391 -1.48791 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-1.33473 0.100964 0.408126 -1.62459 -1.33473 0.100964 0.0970769 1.56938 -1.33473 0.100964 -0.505203 0.0552081 --1.16948 -0.228996 1.51063 0.305443 --1.16948 -0.228996 -0.979323 -0.678277 --1.16948 -0.228996 -0.531309 0.372833 -1.37586 0.198025 0.554521 -1.69818 -1.37586 0.198025 -0.0779194 1.59079 -1.37586 0.198025 -0.476602 0.107388 --1.70642 1.2509 -1.76471 2.60554 --1.70642 1.2509 1.83289 -2.39318 --1.70642 1.2509 -0.068185 -0.212363 --1.21664 1.53459 -0.626145 2.79333 --1.21664 1.53459 0.566069 -2.53711 --1.21664 1.53459 0.0600756 -0.256222 --0.976956 -1.8462 0.108096 -3.10669 --0.976956 -1.8462 -0.238265 2.91764 --0.976956 -1.8462 0.130169 0.189058 -1.16057 0.224465 0.599751 -1.38446 -1.16057 0.224465 0.0109494 1.25492 -1.16057 0.224465 -0.610701 0.129542 --0.00922638 0.71981 -0.839948 -0.573049 --0.00922638 0.71981 0.135917 0.901239 --0.00922638 0.71981 0.704031 -0.32819 --1.0077 -0.548716 -0.818193 -1.13761 --1.0077 -0.548716 1.17511 0.640749 --1.0077 -0.548716 -0.356921 0.496864 -1.10389 1.22044 2.00823 -0.835753 -1.10389 1.22044 -2.04826 0.478309 -1.10389 1.22044 0.0400304 0.357444 -0.832436 -0.0704952 0.435801 0.999991 -0.832436 -0.0704952 0.307668 -0.982803 -0.832436 -0.0704952 -0.743469 -0.0171884 -0.684262 -0.878536 -1.33864 0.0326749 -0.684262 -0.878536 1.1925 0.577687 -0.684262 -0.878536 0.14614 -0.610362 --0.659941 1.2325 -0.0237768 1.84232 --0.659941 1.2325 -0.30155 -1.44378 --0.659941 1.2325 0.325327 -0.398541 --0.138575 0.0248394 0.520899 -0.0315527 --0.138575 0.0248394 -0.234535 0.464131 --0.138575 0.0248394 -0.286364 -0.432578 -1.41621 -1.1818 2.19709 1.39622 -1.41621 -1.1818 -2.14849 -1.10711 -1.41621 -1.1818 -0.0485962 -0.289107 -1.33136 -0.7864 1.47352 1.49636 -1.33136 -0.7864 -1.27581 -1.10809 --1.49081 1.34782 -1.27755 2.6597 --1.49081 1.34782 1.30423 -2.41279 --0.221729 1.83407 -1.56727 -2.04211 --0.221729 1.83407 1.28617 2.11366 --0.221729 1.83407 0.281094 -0.0715493 -0.928167 -1.02978 1.57262 0.74169 -0.928167 -1.02978 -1.63612 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0.313024 0.196215 -0.989516 0.990771 1.56853 -0.85736 -0.989516 0.990771 -1.59273 0.379544 -0.989516 0.990771 0.0241988 0.477815 --0.11148 -0.822338 -0.827699 0.705283 --0.11148 -0.822338 0.148624 -1.01284 --0.11148 -0.822338 0.679075 0.30756 -1.93772 -1.31518 2.82895 2.32475 -1.93772 -1.31518 -2.76192 -2.15492 -1.93772 -1.31518 -0.0670331 -0.169823 --0.73574 1.11049 -0.220328 1.74654 --0.73574 1.11049 -0.0998506 -1.21443 --0.73574 1.11049 0.320179 -0.532106 --1.38734 -0.792478 -1.36422 -1.58855 --1.38734 -0.792478 1.56204 1.26448 --1.38734 -0.792478 -0.197819 0.324067 --0.38693 1.47716 0.576 1.86326 --0.38693 1.47716 -0.935092 -1.66558 --0.38693 1.47716 0.359092 -0.197679 -1.03848 -1.25247 1.99855 0.70244 -1.03848 -1.25247 -2.06778 -0.342607 -1.03848 -1.25247 0.0692306 -0.359833 -1.52335 -1.80192 3.4841 1.04601 -1.52335 -1.80192 -3.51399 -0.86934 -1.52335 -1.80192 0.029897 -0.176673 -0.025008 1.90308 -2.02291 -1.82911 -0.025008 1.90308 1.74668 1.82491 -0.025008 1.90308 0.27623 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0.115282 --0.573145 1.17905 0.0367943 1.69981 --0.573145 1.17905 -0.436128 -1.3087 --0.573145 1.17905 0.399334 -0.391116 --0.0718555 -0.183218 -0.0699073 -0.580832 --0.0718555 -0.183218 -0.461709 0.355067 --0.0718555 -0.183218 0.531616 0.225765 -1.57988 -1.6312 -3.19924 -1.13554 -0.493418 -0.216624 0.534946 0.695636 -0.493418 -0.216624 0.242057 -0.750285 -0.493418 -0.216624 -0.777003 0.0546492 -1.92411 1.93063 4.16302 -1.77825 -1.92411 1.93063 -4.16356 1.64374 -1.92411 1.93063 0.000538593 0.134511 --0.856033 1.47074 -0.0831068 2.36004 --0.856033 1.47074 -0.0961002 -2.06007 --0.856033 1.47074 0.179207 -0.299964 --0.131649 0.27495 -0.0946072 0.678603 --0.131649 0.27495 -0.517816 -0.430248 --0.131649 0.27495 0.612423 -0.248355 -0.689789 -0.363432 0.700605 0.834928 -0.689789 -0.363432 -0.859492 -0.0181396 -0.689789 -0.363432 0.158887 -0.816789 --1.62487 -1.77515 -1.20516 -3.61928 --1.62487 -1.77515 1.19007 3.44694 --1.62487 -1.77515 0.0150928 0.172341 --0.323059 -0.367691 -0.204597 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0.143071 1.94566 -0.228918 --1.45443 0.143071 -1.46757 0.353895 --1.45443 0.143071 -0.478085 -0.124977 --0.176941 1.49901 -1.26202 -1.50097 --0.176941 1.49901 0.855098 1.61204 --0.176941 1.49901 0.406919 -0.111072 -1.46627 -0.441193 0.953819 1.82894 -1.46627 -0.441193 -0.580102 -1.60758 -1.46627 -0.441193 -0.373717 -0.221356 -1.38722 -0.240078 0.620533 1.71734 -1.38722 -0.240078 -0.154917 -1.58714 -1.38722 -0.240078 -0.465617 -0.130202 -0.539904 1.47086 -2.03935 -0.609352 -0.539904 1.47086 1.73138 0.327043 -0.539904 1.47086 0.307969 0.282309 -0.173312 0.400649 -0.738841 -0.285159 -0.173312 0.400649 0.619006 -0.43402 -0.173312 0.400649 0.119835 0.719179 -0.288897 -1.2098 -1.48336 0.694949 -0.288897 -1.2098 0.893647 -0.0890786 -0.288897 -1.2098 0.589716 -0.605871 --1.51763 -0.772828 -1.60714 -1.58894 --1.51763 -0.772828 1.80632 1.31697 --1.51763 -0.772828 -0.199177 0.271966 -0.396501 1.62377 -2.11064 -0.966603 -0.396501 1.62377 1.78411 0.79563 -0.396501 1.62377 0.326528 0.170973 -0.879411 1.27458 -2.00708 0.0595483 -0.879411 1.27458 1.87145 -0.43721 -0.879411 1.27458 0.135632 0.377661 -0.806396 -0.560348 0.934525 0.889588 -0.806396 -0.560348 -0.990008 -0.129327 -0.806396 -0.560348 0.0554833 -0.760261 --1.22187 0.186903 1.59064 -0.258798 --1.22187 0.186903 -1.02995 0.583541 --1.22187 0.186903 -0.560686 -0.324743 --0.788641 1.61026 0.16271 2.50793 --0.788641 1.61026 -0.357523 -2.26541 --0.788641 1.61026 0.194813 -0.242521 --1.32265 0.556728 1.60441 -0.83649 --1.32265 0.556728 -1.29292 1.16833 --1.32265 0.556728 -0.311496 -0.331839 --1.38551 -0.490456 1.73632 0.762938 --1.38551 -0.490456 -1.4036 -1.05332 --1.38551 -0.490456 -0.332713 0.290381 --1.69258 -0.972035 -1.87766 -2.03632 --1.69258 -0.972035 2.00987 1.81198 --1.69258 -0.972035 -0.132208 0.224344 -0.158152 1.88347 -2.18154 -1.61866 -0.158152 1.88347 1.90335 1.57446 -0.158152 1.88347 0.278191 0.0441996 --0.0448806 1.57396 -1.51895 -1.46229 --0.0448806 1.57396 1.12219 1.50038 --0.0448806 1.57396 0.396768 -0.0380903 --1.26337 1.60437 -0.649481 2.96098 --1.26337 1.60437 0.592788 -2.72627 --1.26337 1.60437 0.0566933 -0.234704 -0.591534 -0.913035 -1.34498 0.156819 -0.591534 -0.913035 1.14788 0.46187 -0.591534 -0.913035 0.197097 -0.618689 -1.14483 1.49954 -2.59025 0.365862 -1.14483 1.49954 2.51748 -0.63396 -1.14483 1.49954 0.0727701 0.268098 -1.79481 -0.672298 1.45292 2.36457 -1.79481 -0.672298 -1.24475 -2.18553 -1.79481 -0.672298 -0.208173 -0.17904 --1.82464 -0.0795014 -2.29786 -0.178534 --1.84696 1.46857 -1.91747 3.15067 --1.84696 1.46857 1.95836 -2.9758 --1.84696 1.46857 -0.0408947 -0.174873 -0.698494 -0.707049 1.03296 0.707916 -0.698494 -0.707049 -1.14286 -0.0223382 -0.698494 -0.707049 0.109905 -0.685578 --0.773847 1.4672 0.0377538 2.2748 --0.773847 1.4672 -0.252705 -1.97932 --0.773847 1.4672 0.214952 -0.295474 -1.65082 1.99632 4.02664 -1.10898 -1.65082 1.99632 -4.05461 0.962798 -1.65082 1.99632 0.0279709 0.14618 -1.00368 -0.483263 0.912704 1.14465 -1.00368 -0.483263 -0.0854628 -0.868196 -1.00368 -0.483263 -0.827241 -0.276457 -1.09527 -1.27679 2.09108 0.770193 -1.09527 -1.27679 -2.14554 -0.429524 -1.09527 -1.27679 0.0544653 -0.340669 --1.8667 -0.77477 2.47733 1.51891 --1.8667 -0.77477 -2.30607 -1.69157 --1.8667 -0.77477 -0.171259 0.172662 -0.934736 -0.59093 1.02087 1.02323 -0.934736 -0.59093 -0.982258 -0.27394 -0.934736 -0.59093 -0.0386109 -0.749287 --0.339936 0.203369 -0.273693 0.702172 --0.339936 0.203369 0.726346 -0.159247 --0.339936 0.203369 -0.452653 -0.542925 -1.74495 -1.39606 2.85686 1.8646 -1.74495 -1.39606 -2.81362 -1.66909 -1.74495 -1.39606 -0.0432374 -0.195508 --0.284926 1.50094 -1.11051 -1.6083 --0.284926 1.50094 0.730937 1.76245 --0.284926 1.50094 0.379576 -0.154142 -1.26158 0.061055 0.361677 -1.50862 -1.26158 0.061055 0.185078 1.47463 -1.26158 0.061055 -0.546756 0.0339897 -1.98856 -1.41207 3.07289 2.36542 -1.98856 -1.41207 -3.01773 -2.20648 -1.98856 -1.41207 -0.0551606 -0.158939 -0.721666 -1.25835 -1.87765 0.174546 -0.721666 -1.25835 1.66857 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-2.10006 -1.73068 0.997011 -1.92809 1.8812 -1.73068 0.997011 -0.125742 0.218868 -1.57283 -0.23149 0.604063 2.0274 -1.57283 -0.23149 -0.230072 -1.927 -1.57283 -0.23149 -0.373991 -0.100401 -1.57772 1.01159 1.99521 -1.8022 -1.57772 1.01159 -1.87795 1.54024 -1.57772 1.01159 -0.117259 0.261955 -0.129149 -1.22807 -1.35534 0.87973 -0.129149 -1.22807 0.680011 -0.903645 -0.129149 -1.22807 0.675326 0.0239156 --0.405949 0.851631 -0.0437093 1.23283 --0.405949 0.851631 -0.589382 -0.843385 --0.405949 0.851631 0.633092 -0.389446 --0.658557 0.100964 0.975719 -0.0883282 --0.658557 0.100964 -0.488656 0.709517 --0.658557 0.100964 -0.487063 -0.621189 --0.360822 -0.949314 0.0651705 -1.28635 --0.360822 -0.949314 -0.658353 0.930017 --0.360822 -0.949314 0.593183 0.356338 --1.6044 -1.95717 -0.989971 -3.98054 --1.6044 -1.95717 0.959317 3.8272 -0.872923 -1.4436 -2.28033 0.0720811 -0.872923 -1.4436 2.12548 0.237051 -0.872923 -1.4436 0.154852 -0.309132 --1.24242 -0.795954 -1.11673 -1.55182 --1.24242 -0.795954 1.31644 1.1599 --1.24242 -0.795954 -0.199712 0.391919 -0.614875 1.06925 -1.54882 -0.205447 -0.614875 1.06925 1.31716 -0.328027 -0.614875 1.06925 0.231658 0.533475 -1.50772 -0.100834 0.382533 1.90515 -1.50772 -0.100834 0.0332956 -1.85777 -1.50772 -0.100834 -0.415829 -0.0473811 --1.53206 1.65213 -1.12372 3.28707 --1.53206 1.65213 1.10918 -3.09005 --1.53206 1.65213 0.0145412 -0.197024 -1.56293 0.490378 1.05599 -1.98479 -1.56293 0.490378 -0.73924 1.77771 -1.56293 0.490378 -0.316753 0.207077 --1.98267 -1.16758 -2.39375 -2.58276 --1.98267 -1.16758 2.4854 2.41813 --1.98267 -1.16758 -0.0916512 0.164635 --1.49373 -0.673579 1.82338 1.1255 --1.49373 -0.673579 -1.58514 -1.39782 --1.49373 -0.673579 -0.238239 0.272326 -1.07026 -0.45203 0.890355 1.23769 -1.07026 -0.45203 -0.147622 -0.941444 -1.07026 -0.45203 -0.742734 -0.296242 -0.654007 1.77655 -2.62137 -0.741876 -0.654007 1.77655 2.40914 0.557689 -0.654007 1.77655 0.212227 0.184186 --0.51446 -1.74831 0.741789 -2.39519 --0.51446 -1.74831 -0.992504 2.23573 --0.51446 -1.74831 0.250715 0.159461 --0.737554 1.02167 -0.28531 1.63483 --0.737554 1.02167 -0.121786 -1.00415 --0.737554 1.02167 0.407096 -0.630684 -0.377111 1.98698 -2.62543 -1.43214 -0.377111 1.98698 2.39615 1.34236 -0.377111 1.98698 0.229273 0.0897748 --0.147986 -1.83719 1.39582 -2.00649 --0.550952 -0.253596 0.873898 0.201483 --0.550952 -0.253596 -0.401334 -0.795473 --0.550952 -0.253596 -0.472565 0.593991 -0.21262 -0.735019 -0.986184 0.428657 -0.21262 -0.735019 0.781812 0.368745 -0.21262 -0.735019 0.204372 -0.797403 --0.827037 1.04093 -0.388586 1.71856 --0.827037 1.04093 0.216087 -1.00531 --0.827037 1.04093 0.172498 -0.713247 --0.407578 0.106692 0.772742 -0.0848595 --0.407578 0.106692 -0.349219 0.66696 --0.407578 0.106692 -0.423523 -0.582101 --0.307749 0.749453 -0.0265274 1.0886 --0.307749 0.749453 -0.646382 -0.734804 --1.34428 -1.75711 -0.660334 -3.32323 --1.34428 -1.75711 0.606573 3.1253 --1.34428 -1.75711 0.0537603 0.197928 -1.92143 0.818589 1.78921 -2.56311 -1.92143 0.818589 -1.62919 2.39716 -1.92143 0.818589 -0.160012 0.165948 --1.16761 -0.443193 1.43508 0.593058 --1.16761 -0.443193 -1.041 -0.990527 --1.16761 -0.443193 -0.394087 0.397468 --1.58218 0.687136 1.97417 -1.19912 --1.58218 0.687136 -1.75064 1.44101 --1.89073 1.16501 -2.19656 2.52922 --1.89073 1.16501 2.28791 -2.34885 --1.89073 1.16501 -0.0913505 -0.180371 --1.69316 -0.386584 2.30272 0.69841 --1.69316 -0.386584 -2.00744 -0.848348 --1.69316 -0.386584 -0.295288 0.149938 -0.523586 1.25394 -1.72817 -0.447536 -0.523586 1.25394 1.39296 0.0160184 -0.523586 1.25394 0.335209 0.431517 -1.86621 0.892402 1.91478 -2.41988 -1.86621 0.892402 -1.76713 2.23685 -1.86621 0.892402 -0.147653 0.183028 --0.72007 1.14843 -0.17115 1.78365 --0.72007 1.14843 -0.144027 -1.29724 --0.72007 1.14843 0.315177 -0.486403 --0.0736543 1.60224 -1.51221 -1.5323 --0.0736543 1.60224 1.13181 1.57987 --0.89273 1.27439 -0.311491 2.09571 --0.89273 1.27439 0.154238 -1.69349 --0.89273 1.27439 0.157253 -0.402216 --0.369765 1.42676 0.535612 1.78097 --0.369765 1.42676 -0.918013 -1.57358 --0.369765 1.42676 0.382401 -0.207398 -1.81534 -0.698178 1.50997 2.39602 -1.81534 -0.698178 -1.31121 -2.21851 --1.83822 0.00421435 2.62882 -0.00802454 --1.83822 0.00421435 -2.32852 0.00947462 --1.296 -1.35958 -0.908185 -2.54367 --1.296 -1.35958 0.896597 2.25761 --1.296 -1.35958 0.0115882 0.286054 -0.198629 0.172498 0.45165 -0.465341 -1.9076 -0.69898 1.54211 2.57875 -1.9076 -0.69898 -1.35547 -2.42221 -1.9076 -0.69898 -0.186644 -0.156542 --0.133625 -0.993293 -0.90853 0.865806 --0.133625 -0.993293 0.272194 -1.12798 --0.133625 -0.993293 0.636336 0.262176 -0.280865 -1.86202 -2.31284 1.41534 -0.280865 -1.86202 2.04001 -1.33299 -0.280865 -1.86202 0.272824 -0.0823509 -0.150215 -1.99206 -2.32548 1.7801 -0.150215 -1.99206 2.07652 -1.7441 -0.150215 -1.99206 0.248958 -0.035995 --1.21871 -1.52201 -0.640689 -2.77261 --1.21871 -1.52201 0.582658 2.51346 --1.21871 -1.52201 0.058031 0.259145 --1.09316 -0.148183 1.42677 0.186334 --1.09316 -0.148183 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-0.468032 0.739328 --0.548756 -0.719408 0.718522 0.452441 -1.86832 -1.66367 3.52152 1.90323 -1.86832 -1.66367 -3.50332 -1.74458 -1.86832 -1.66367 -0.0182036 -0.158646 --1.49358 -0.300933 1.97883 0.493392 --1.49358 -0.300933 -1.59004 -0.68139 --1.49358 -0.300933 -0.388795 0.187998 --0.275896 -1.00704 0.183609 -1.26517 --0.275896 -1.00704 -0.772078 0.958082 --0.275896 -1.00704 0.588469 0.307086 --1.39612 0.288566 1.82518 -0.448007 --1.39612 0.288566 -1.39326 0.678385 --1.39612 0.288566 -0.431918 -0.230378 -1.07753 1.91269 -3.30792 -0.135882 -1.07753 1.91269 3.20124 -0.0416521 -1.07753 1.91269 0.106681 0.177534 --1.37357 -0.695473 -1.36357 -1.41456 --1.37357 -0.695473 1.60445 1.09028 --1.37357 -0.695473 -0.240878 0.324279 --1.91781 -0.630563 2.64826 1.25026 --1.91781 -0.630563 -2.45248 -1.39633 --1.91781 -0.630563 -0.195779 0.146072 --1.26534 1.87953 -0.386299 3.47948 --1.26534 1.87953 0.312487 -3.29863 --1.26534 1.87953 0.0738119 -0.180847 -0.365007 0.785985 -1.11001 -0.329843 -0.365007 0.785985 0.886559 -0.4048 -0.365007 0.785985 0.223454 0.734643 --1.74383 1.97807 -1.26808 4.1625 --1.74383 1.97807 1.25008 -4.01967 --1.74383 1.97807 0.0179946 -0.142832 -0.527037 1.9458 -2.74936 -1.1423 -0.527037 1.9458 2.53565 1.01676 -0.527037 1.9458 0.213705 0.125543 -1.13505 1.26174 2.10323 -0.848966 -1.13505 1.26174 -2.14207 0.511423 -1.53696 0.0734076 0.330908 -1.95155 -1.53696 0.0734076 0.0726755 1.91823 -1.53696 0.0734076 -0.403584 0.0333186 -0.254947 1.59296 -1.91049 -1.12349 -0.254947 1.59296 1.53079 1.00651 -0.254947 1.59296 0.379694 0.11698 -0.692275 -0.232104 0.579679 0.861709 -0.692275 -0.232104 0.220763 -0.850038 -0.692275 -0.232104 -0.800441 -0.0116709 -1.83196 -0.404886 0.942265 2.49709 -1.83196 -0.404886 -0.683446 -2.38061 -1.83196 -0.404886 -0.258818 -0.116476 --0.816005 -0.480408 -0.598625 -1.03437 --0.816005 -0.480408 1.01705 0.461445 --0.816005 -0.480408 -0.418423 0.57292 -1.73345 -0.40583 0.931059 2.30835 -1.73345 -0.40583 -0.645946 -2.17332 -1.73345 -0.40583 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0.480938 -0.81173 2.17935 -1.75173 0.480938 -0.263917 0.151448 --0.301159 1.77818 -1.37711 -2.04843 --0.301159 1.77818 1.09156 2.14987 --0.301159 1.77818 0.285558 -0.101442 -0.290574 -0.569016 -0.902743 0.287595 -0.290574 -0.569016 0.737284 0.467113 --1.82218 -0.476186 2.51719 0.908083 --1.82218 -0.476186 -2.27361 -1.04841 --1.82218 -0.476186 -0.243576 0.140329 -0.0254441 1.80142 -1.88906 -1.68513 -0.0254441 1.80142 1.5807 1.68143 -0.0254441 1.80142 0.308365 0.00370152 -1.27512 -0.946193 1.69965 1.31769 -1.27512 -0.946193 -1.59919 -0.931623 -1.27512 -0.946193 -0.100461 -0.386069 --1.81648 -0.953139 -2.13849 -2.04837 --1.81648 -0.953139 2.27298 1.85425 --1.81648 -0.953139 -0.134483 0.194124 -1.70098 -0.960575 1.9677 2.06228 -1.70098 -0.960575 -1.83219 -1.8354 -1.66886 0.664885 1.39817 -2.12864 -1.66886 0.664885 -1.16799 1.91425 -1.66886 0.664885 -0.230182 0.214389 --0.584743 -0.0510938 0.915093 0.0427354 --0.584743 -0.0510938 -0.452687 -0.678134 --0.584743 -0.0510938 -0.462406 0.635398 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-0.295238 -0.507072 1.80175 -2.49764 -1.00299 -0.507072 1.80175 2.25186 0.851212 -0.507072 1.80175 0.245789 0.151777 -0.0768433 -0.557163 -0.788673 0.424775 -0.0768433 -0.557163 0.104912 -0.798762 -0.0768433 -0.557163 0.683761 0.373987 -1.05412 -0.925826 1.52435 0.995511 -1.05412 -0.925826 -1.49702 -0.508917 -1.05412 -0.925826 -0.0273384 -0.486595 -1.54477 -1.4326 2.76773 1.4365 -1.54477 -1.4326 -2.75186 -1.21239 -1.54477 -1.4326 -0.0158655 -0.224116 -0.0379047 -1.06733 -1.12258 0.810696 -0.0379047 -1.06733 0.429411 -0.988546 -0.0379047 -1.06733 0.693167 0.17785 -1.66453 1.55668 3.11809 -1.56821 -1.66453 1.55668 -3.10574 1.37639 -1.66453 1.55668 -0.0123497 0.191818 -1.99697 0.0622476 0.25467 -2.83661 -1.99697 0.0622476 -0.00649667 2.82153 -1.99697 0.0622476 -0.248174 0.0150781 -1.75787 1.21548 2.50118 -2.02099 -1.75787 1.21548 -2.42461 1.81536 -0.506835 -0.313119 0.615235 0.687715 -0.506835 -0.313119 -0.819061 0.0707102 -0.506835 -0.313119 0.203826 -0.758425 --0.27069 -1.22688 -0.905504 1.21658 --0.27069 -1.22688 0.407999 -1.45056 --0.27069 -1.22688 0.497505 0.23398 -0.477949 0.424856 0.696892 -0.637167 -0.477949 0.424856 -0.873002 -0.111863 -0.477949 0.424856 0.176109 0.749029 --1.78568 -1.97686 -1.3608 -4.20042 --1.78568 -1.97686 1.34656 4.06009 --1.78568 -1.97686 0.0142345 0.140327 --0.67893 -0.419443 -0.473633 -0.952382 --0.67893 -0.419443 0.930868 0.35344 --0.67893 -0.419443 -0.457236 0.598941 --1.2805 -1.22188 -0.975643 -2.28932 --1.2805 -1.22188 0.995822 1.96741 --1.45482 1.28266 -1.25269 2.51214 --1.45482 1.28266 1.28855 -2.2479 --1.45482 1.28266 -0.0358546 -0.264238 -0.60217 0.79767 -1.21914 -0.101936 -0.60217 0.79767 1.05586 -0.561419 -0.60217 0.79767 0.163287 0.663354 --1.24865 1.46937 -0.738308 2.70353 --1.24865 1.46937 0.695091 -2.43532 --1.24865 1.46937 0.0432169 -0.268217 -0.532468 0.279209 0.592895 -0.71564 -0.532468 0.279209 -0.80886 -0.052719 -0.532468 0.279209 0.215965 0.768359 -0.127033 0.290818 -0.647426 -0.256209 -0.127033 0.290818 0.546976 -0.405565 -0.127033 0.290818 0.10045 0.661774 --0.682572 -1.66557 0.387913 -2.47541 --0.682572 -1.66557 -0.609321 2.26351 --0.682572 -1.66557 0.221408 0.2119 --0.92349 1.12779 -0.465449 1.90362 --0.92349 1.12779 0.369245 -1.39844 --0.92349 1.12779 0.0962031 -0.505185 --1.80233 1.1616 -2.012 2.47551 --1.80233 1.1616 2.10227 -2.27837 --1.80233 1.1616 -0.0902677 -0.197138 -1.60239 1.96521 3.90798 -1.03886 -1.60239 1.96521 -3.93926 0.886742 -1.60239 1.96521 0.0312812 0.152116 -1.92525 -1.54025 3.30218 2.13013 -1.92525 -1.54025 -3.26636 -1.96958 -1.92525 -1.54025 -0.035814 -0.160551 -0.309611 -0.0179782 0.344417 0.59325 -0.309611 -0.0179782 0.31783 -0.604074 -0.309611 -0.0179782 -0.662248 0.0108241 -1.02273 1.88604 -3.20095 -0.211842 -1.02273 1.88604 3.08344 0.0295394 -0.264642 -0.598327 -0.911647 0.319441 -0.264642 -0.598327 0.167282 -0.763344 --1.5429 0.777919 -1.65344 1.60545 --1.5429 0.777919 1.84921 -1.34212 --1.5429 0.777919 -0.195775 -0.263331 -0.476016 -1.64008 -2.21987 0.870361 -0.476016 -1.64008 1.92561 -0.679484 -0.476016 -1.64008 0.294263 -0.190877 -0.939079 1.58603 -2.57814 -0.0770634 -0.939079 1.58603 2.44054 -0.180499 -0.939079 1.58603 0.137594 0.257562 -1.30874 -1.03586 1.86845 1.31437 -1.30874 -1.03586 -1.79577 -0.963281 -1.30874 -1.03586 -0.0726806 -0.35109 -0.157591 -0.35579 -0.703574 0.272192 -0.157591 -0.35579 0.590526 0.426717 -0.157591 -0.35579 0.113048 -0.698909 -0.938189 -0.533682 0.953546 1.04884 -0.938189 -0.533682 -0.918046 -0.249154 -0.938189 -0.533682 -0.0354996 -0.799683 --0.998154 -0.480823 -0.810128 -1.04943 --0.998154 -0.480823 1.20314 0.556497 --0.998154 -0.480823 -0.393015 0.492928 -1.71007 1.22213 2.48207 -1.92133 -1.71007 1.22213 -2.40974 1.70638 --1.07726 0.0834726 1.41431 -0.103656 --1.07726 0.0834726 -0.774745 0.570575 --1.07726 0.0834726 -0.639569 -0.46692 --1.91327 -1.32956 -2.15119 -2.89526 --1.91327 -1.32956 2.21576 2.72297 --1.91327 -1.32956 -0.0645722 0.172295 -0.893582 1.22239 -1.93105 0.114818 -0.893582 1.22239 1.80979 -0.512874 -0.893582 1.22239 0.12126 0.398056 -1.24083 -1.16174 2.02799 1.10866 -1.24083 -1.16174 -2.01215 -0.767528 -1.24083 -1.16174 -0.0158384 -0.341133 -0.6591 0.593715 0.905149 -0.728222 -0.6591 0.593715 -1.02721 -0.00504116 --1.56634 0.979401 -1.62705 1.99763 --1.56634 0.979401 1.75645 -1.73789 --1.56634 0.979401 -0.129407 -0.259734 -0.118134 1.42235 -1.54898 -1.09558 -0.118134 1.42235 1.04351 1.05409 -0.118134 1.42235 0.505472 0.0414863 --0.795071 -1.972 0.573782 -3.10964 --0.795071 -1.972 -0.733444 2.95728 --0.795071 -1.972 0.159661 0.152353 --1.47817 1.49732 -1.14395 2.93828 --1.47817 1.49732 1.14189 -2.71149 --1.13218 -1.71703 -0.304657 -3.04156 --1.13218 -1.71703 0.210192 2.8235 --0.0967843 -1.43895 -1.30888 1.34164 --0.0967843 -1.43895 0.855421 -1.42948 -1.40279 0.34214 0.783705 -1.73805 -1.40279 0.34214 -0.345339 1.55092 -1.40279 0.34214 -0.438366 0.187136 -0.0015289 -0.428645 -0.67113 0.406185 -0.0015289 -0.428645 0.0357384 -0.753661 -0.0015289 -0.428645 0.635392 0.347476 --1.56364 -1.91312 -0.948254 -3.84812 --1.56364 -1.91312 0.91562 3.68731 --1.56364 -1.91312 0.0326348 0.160815 -0.307434 1.72123 -2.14513 -1.20286 -0.307434 1.72123 1.83131 1.08964 --1.91566 -0.940245 -2.35303 -2.06064 --1.91566 -0.940245 2.48675 1.88781 --1.91566 -0.940245 -0.133721 0.172833 -0.022164 1.52234 -1.54712 -1.32109 -0.022164 1.52234 1.1165 1.33117 -0.022164 1.52234 0.430621 -0.0100778 --1.6831 -0.259061 2.31622 0.464477 --1.6831 -0.259061 -1.98624 -0.576676 --1.6831 -0.259061 -0.329982 0.112199 -0.795111 -1.2088 -1.85059 0.0322053 -0.795111 -1.2088 1.68607 0.388565 -0.795111 -1.2088 0.164518 -0.42077 --1.72438 1.76999 -1.41886 3.69674 --1.72438 1.76999 1.41477 -3.5328 --1.72438 1.76999 0.00409294 -0.163937 -1.81481 -0.289626 0.71647 2.47422 -1.81481 -0.289626 -0.435841 -2.38609 -1.81481 -0.289626 -0.280629 -0.0881255 -1.9585 0.928765 2.03139 -2.59143 -1.9585 0.928765 -1.89606 2.42591 -1.9585 0.928765 -0.135325 0.165523 --0.631506 1.04265 -0.142036 1.58601 --0.631506 1.04265 -0.31407 -1.0838 --1.71125 -0.594403 2.2593 1.09077 --1.71125 -0.594403 -2.02477 -1.28013 --1.71125 -0.594403 -0.234523 0.189362 --1.22271 -0.224548 1.58425 0.31127 --1.22271 -0.224548 -1.05564 -0.641561 --1.22271 -0.224548 -0.528607 0.330291 --1.12752 1.93171 -0.0694418 3.42973 --1.12752 1.93171 -0.029574 -3.25566 --1.12752 1.93171 0.0990158 -0.174072 --1.27851 -0.786845 -1.17899 -1.54752 --1.27851 -0.786845 1.38251 1.17388 -1.54084 -1.36548 2.63482 1.48458 -1.54084 -1.36548 -2.6079 -1.25076 -1.54084 -1.36548 -0.0269238 -0.233824 -1.89011 -1.8965 4.05329 1.73548 -1.89011 -1.8965 -4.05386 -1.5961 -1.89011 -1.8965 0.000568633 -0.139383 -1.80727 -1.32111 2.74983 2.048 -1.80727 -1.32111 -2.68986 -1.85747 -1.80727 -1.32111 -0.0599666 -0.190524 -0.950759 -1.18816 1.81663 0.630445 -0.950759 -1.18816 -1.90717 -0.228522 -0.950759 -1.18816 0.0905402 -0.401923 -0.785207 0.0982093 0.463171 -0.956447 -0.785207 0.0982093 0.293666 0.938757 -0.785207 0.0982093 -0.756836 0.0176901 -0.719635 -1.54381 -2.3135 0.405338 -0.719635 -1.54381 2.09814 -0.135916 -0.719635 -1.54381 0.215356 -0.269421 --1.35943 1.59723 -0.834825 3.03205 --1.35943 1.59723 0.798582 -2.80636 --1.35943 1.59723 0.0362433 -0.225684 --1.57179 0.408484 2.07933 -0.699141 --1.57179 0.408484 -1.75712 0.892267 --0.321904 0.0157972 0.701661 -0.0133271 --0.321904 0.0157972 -0.342965 0.58637 --0.321904 0.0157972 -0.358697 -0.573043 --1.49087 -0.135386 2.00558 0.220904 --1.49087 -0.135386 -1.54885 -0.326291 --1.49087 -0.135386 -0.456733 0.105387 -0.422198 1.21757 -1.60303 -0.547007 -0.422198 1.21757 1.18178 0.0612935 -0.422198 1.21757 0.421252 0.485713 --1.82568 -0.692931 2.43556 1.33421 --1.82568 -0.692931 -2.2417 -1.50789 -0.428772 1.68119 -2.22817 -0.98393 -0.428772 1.68119 1.93077 0.820062 -0.428772 1.68119 0.297409 0.163868 -1.84905 1.95866 4.15099 -1.58228 -1.84905 1.95866 -4.15899 1.44479 -1.84905 1.95866 0.00799588 0.137485 --0.817675 0.0827062 1.12479 -0.0824435 --0.817675 0.0827062 -0.582768 0.684855 --0.817675 0.0827062 -0.542019 -0.602412 --0.969373 0.125906 1.28181 -0.143009 --0.969373 0.125906 -0.706211 0.668496 --0.969373 0.125906 -0.575599 -0.525487 --0.183951 0.10293 -0.211044 0.559944 --0.183951 0.10293 0.587648 -0.105846 --0.183951 0.10293 -0.376604 -0.454098 -0.331742 -1.82987 -2.33025 1.30055 -0.331742 -1.82987 2.05561 -1.19893 -0.331742 -1.82987 0.274646 -0.101622 --1.25156 0.292839 1.60763 -0.414736 --1.25156 0.292839 -1.13503 0.737067 --1.25156 0.292839 -0.472598 -0.322331 --1.18828 1.84713 -0.274269 3.33751 --1.18828 1.84713 0.187553 -3.14851 --1.18828 1.84713 0.086716 -0.188997 --1.58349 0.465405 2.07944 -0.802867 --1.58349 0.465405 -1.78002 1.00649 --1.58349 0.465405 -0.299416 -0.203623 --1.58711 0.0175601 2.17421 -0.0300522 --1.58711 0.0175601 -1.75963 0.0408115 --1.58711 0.0175601 -0.414578 -0.0107593 -0.548313 -0.0311414 0.398395 0.764221 -0.548313 -0.0311414 0.353876 -0.769613 -0.548313 -0.0311414 -0.752271 0.00539211 --1.091 1.88879 -0.0494512 3.30995 --1.091 1.88879 -0.0564655 -3.12789 --1.091 1.88879 0.105917 -0.182057 --0.356604 1.94823 -1.49007 -2.39073 --0.356604 1.94823 1.25375 2.48089 --0.356604 1.94823 0.236316 -0.0901595 -0.308731 0.293628 0.561797 -0.538819 -0.308731 0.293628 -0.743566 -0.15791 -0.308731 0.293628 0.18177 0.696729 --1.54441 -0.697365 1.89999 1.19664 --1.54441 -0.697365 -1.67596 -1.45273 --1.54441 -0.697365 -0.224031 0.256098 --1.03081 -0.703746 -0.821108 -1.35234 --1.03081 -0.703746 1.08757 0.845406 --1.03081 -0.703746 -0.266463 0.506939 --0.0578106 0.12509 -0.0735946 0.512694 --0.0578106 0.12509 -0.404534 -0.321265 --0.0578106 0.12509 0.478128 -0.191429 -1.63209 -1.48698 2.94913 1.56274 -1.63209 -1.48698 -2.93082 -1.35878 --1.51995 0.390296 1.99649 -0.650645 --1.51995 0.390296 -1.65277 0.857819 --1.51995 0.390296 -0.343719 -0.207174 -1.67007 1.46037 -0.0263476 0.201215 --0.485038 1.88789 0.971068 2.56822 --0.485038 1.88789 -1.19982 -2.44287 --0.485038 1.88789 0.228753 -0.125348 -1.51552 -0.548378 1.14562 1.8893 -1.51552 -0.548378 -0.835064 -1.64438 -1.51552 -0.548378 -0.310553 -0.244925 --0.956671 0.234435 1.24841 -0.262793 --0.956671 0.234435 -0.732371 0.772472 --0.956671 0.234435 -0.516042 -0.509679 -0.120323 1.61852 -1.78239 -1.32469 -0.120323 1.61852 1.39967 1.27981 -0.120323 1.61852 0.38272 0.0448878 --1.08999 -0.0721603 1.43107 0.0905129 --1.08999 -0.0721603 -0.777357 -0.55091 --1.08999 -0.0721603 -0.653708 0.460397 --0.217387 0.354751 -0.132693 0.766004 --0.217387 0.354751 -0.541637 -0.503743 --0.217387 0.354751 0.67433 -0.262262 --0.817779 -1.91855 0.468766 -3.04599 --0.817779 -1.91855 -0.628576 2.88132 --0.506387 1.31593 0.247649 1.80043 --0.506387 1.31593 -0.620335 -1.50206 --0.506387 1.31593 0.372686 -0.298371 -1.27282 1.20024 2.11839 -1.13173 -1.27282 1.20024 -2.10453 0.808958 -1.27282 1.20024 -0.0138557 0.322774 -1.63199 0.4915 1.07197 -2.1073 -1.63199 0.4915 -0.777869 1.92183 -1.63199 0.4915 -0.294105 0.185477 -0.650742 -1.24653 -1.81153 0.268944 -0.650742 -1.24653 1.5639 0.152316 -0.650742 -1.24653 0.24763 -0.42126 --0.300345 -1.68582 -1.27521 1.90301 --0.300345 -1.68582 0.962568 -2.02052 --1.37268 0.402273 1.75243 -0.61834 --1.37268 0.402273 -1.37367 0.895601 --1.37268 0.402273 -0.378759 -0.277261 --1.32931 -0.492236 1.64721 0.739811 --1.32931 -0.492236 -1.30488 -1.05792 --1.32931 -0.492236 -0.342326 0.318112 --0.242253 0.70518 -0.00406915 1.01967 --0.242253 0.70518 -0.677605 -0.681058 --0.242253 0.70518 0.681674 -0.338608 --0.754328 -0.488909 -0.533114 -1.03306 --0.754328 -0.488909 0.960566 0.438441 --0.754328 -0.488909 -0.427452 0.594621 -1.49571 1.24987 2.38091 -1.49011 -1.49571 1.24987 -2.3366 1.23112 -1.49571 1.24987 -0.0443094 0.258995 -0.343294 1.31939 -1.65871 -0.729639 -0.343294 1.31939 1.12732 0.389883 -0.343294 1.31939 0.53139 0.339756 -0.152878 -1.36705 -1.52559 0.996679 -0.152878 -1.36705 0.967659 -0.933062 -0.152878 -1.36705 0.557931 -0.0636174 -0.989596 0.86638 1.399 -0.946444 -0.989596 0.86638 -1.38335 0.406617 --0.359902 1.7845 -1.29031 -2.1256 --0.359902 1.7845 1.01639 2.24157 --0.359902 1.7845 0.273914 -0.115973 -1.85199 -1.22645 2.58581 2.20494 -1.85199 -1.22645 -2.50712 -2.0177 -1.85199 -1.22645 -0.078693 -0.187247 --0.740302 0.761201 -0.432734 1.32399 --0.740302 0.761201 0.759654 -0.616955 --0.740302 0.761201 -0.326921 -0.707033 -1.20848 -1.60751 -2.8464 -0.399912 -1.20848 -1.60751 2.77855 0.635812 -1.20848 -1.60751 0.0678576 -0.2359 --0.705973 -0.560479 -0.467203 -1.09445 --0.705973 -0.560479 0.887552 0.466915 --0.705973 -0.560479 -0.420349 0.627538 -1.44376 -1.07861 2.03276 1.51794 -1.44376 -1.07861 -1.94996 -1.22045 -1.44376 -1.07861 -0.0828081 -0.29749 --1.8294 -1.27406 -2.00567 -2.72624 --1.8294 -1.27406 2.07595 2.53805 --1.8294 -1.27406 -0.0702756 0.188191 -1.26093 -0.0855257 0.397171 1.51224 -1.26093 -0.0855257 0.149844 -1.46444 -1.26093 -0.0855257 -0.547015 -0.0477919 -1.18169 -1.34019 2.27746 0.854832 -1.18169 -1.34019 -2.31772 -0.549098 -1.18169 -1.34019 0.0402612 -0.305734 --0.884728 -1.18323 -0.370113 -1.95627 --0.884728 -1.18323 0.220423 1.48529 --0.884728 -1.18323 0.14969 0.470981 --1.77453 1.0873 -1.99211 2.30752 --1.77453 1.0873 2.09725 -2.10313 -1.89741 0.22667 0.594743 -2.63907 -1.89741 0.22667 -0.330032 2.57705 -1.89741 0.22667 -0.26471 0.0620167 --1.9386 -0.742047 2.64078 1.48763 --1.9386 -0.742047 -2.46938 -1.64238 --0.862994 0.355989 1.11409 -0.363737 --0.862994 0.355989 -0.65516 0.907592 --0.862994 0.355989 -0.458933 -0.543855 -1.03121 -0.27011 0.654266 1.21666 -1.03121 -0.27011 0.0468267 -1.07903 -1.03121 -0.27011 -0.701093 -0.137631 --0.679746 -1.84429 0.606744 -2.75271 --0.679746 -1.84429 -0.803704 2.58697 --0.679746 -1.84429 0.19696 0.165732 -0.561811 -0.958681 -1.38463 0.212644 -0.561811 -0.958681 1.15984 0.394538 -0.561811 -0.958681 0.224793 -0.607182 -1.25248 -0.372722 0.814322 1.50427 -1.25248 -0.372722 -0.274751 -1.26254 -1.25248 -0.372722 -0.539571 -0.241737 -1.31338 0.555622 1.10256 -1.55721 -1.31338 0.555622 -0.708416 1.18714 -1.31338 0.555622 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0.361763 1.1659 -0.388671 --0.915708 0.361763 -0.710533 0.911383 --0.915708 0.361763 -0.45537 -0.522712 --1.76141 -0.523915 2.38336 0.97787 --1.76141 -0.523915 -2.13897 -1.14168 --1.76141 -0.523915 -0.244384 0.163814 -1.68481 -0.00407364 0.179574 2.20782 -1.68481 -0.00407364 0.164213 -2.20629 -1.78532 1.43981 2.97821 -1.91351 -1.78532 1.43981 -2.9385 1.72763 -1.78532 1.43981 -0.0397078 0.185879 --0.989466 1.81947 0.0563881 3.07362 --0.989466 1.81947 -0.184488 -2.87828 --0.989466 1.81947 0.1281 -0.195335 --1.75516 -0.83177 2.22239 1.57232 --1.75516 -0.83177 -2.05618 -1.77564 --1.75516 -0.83177 -0.166208 0.203323 --1.25384 1.63707 -0.602394 3.0125 --1.25384 1.63707 0.540526 -2.78405 -0.695713 0.792743 1.11555 -0.651844 -0.695713 0.792743 -1.23867 0.00440963 -0.695713 0.792743 0.123123 0.647435 --1.38618 -1.97337 -0.524874 -3.79034 --1.38618 -1.97337 0.466294 3.62832 --1.38618 -1.97337 0.0585803 0.162015 -0.321226 0.476587 -0.853278 -0.227599 -0.321226 0.476587 0.690883 -0.511738 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1.94898 1.08885 -0.340352 1.76211 0.293541 0.11635 --1.83357 -0.841422 2.37421 1.63638 --1.83357 -0.841422 -2.2153 -1.82147 --1.83357 -0.841422 -0.158906 0.185094 --0.739817 0.230349 1.03168 -0.212515 --0.739817 0.230349 -0.542697 0.797602 --0.739817 0.230349 -0.488978 -0.585087 --1.09973 1.76176 -0.200947 3.08891 --1.09973 1.76176 0.0977697 -2.88021 --1.09973 1.76176 0.103177 -0.208699 -0.391854 -1.35532 -1.7476 0.702483 -0.391854 -1.35532 1.29752 -0.379291 -0.391854 -1.35532 0.450086 -0.323192 -1.16835 -0.33209 0.746734 1.38962 -1.16835 -0.33209 -0.133286 -1.18046 -1.16835 -0.33209 -0.613448 -0.209156 --1.60587 -0.742589 1.98672 1.31461 --1.60587 -0.742589 -1.78385 -1.55416 --1.60587 -0.742589 -0.202867 0.239547 -1.16187 -0.753136 1.33967 1.25237 -1.16187 -0.753136 -1.17004 -0.732364 -1.16187 -0.753136 -0.16963 -0.520008 --0.912824 -1.01449 -0.522301 -1.73544 --0.912824 -1.01449 0.514833 1.12834 --0.912824 -1.01449 0.00746744 0.607103 -0.667228 1.69599 -2.50528 -0.6358 -0.667228 1.69599 2.28616 0.426231 -1.15156 -0.230365 0.607692 1.37236 -1.15156 -0.230365 0.00938062 -1.23964 -1.15156 -0.230365 -0.617072 -0.132719 -1.82837 0.859759 1.83273 -2.35897 -1.82837 0.859759 -1.67523 2.16898 -1.82837 0.859759 -0.157505 0.189992 --0.0544269 -0.0523903 -0.112189 -0.407913 --0.0544269 -0.0523903 0.408863 0.107118 --0.0544269 -0.0523903 -0.296674 0.300795 --0.292384 1.11315 0.268282 1.36976 --0.292384 1.11315 -0.807626 -1.08771 --0.292384 1.11315 0.539344 -0.282049 --0.455323 1.00129 0.0173945 1.40799 --0.455323 1.00129 -0.563515 -1.01434 --0.455323 1.00129 0.54612 -0.393652 --0.702039 -1.84588 0.572635 -2.78291 --0.702039 -1.84588 -0.764468 2.61466 --1.44671 1.98651 -0.633372 3.8805 --1.44671 1.98651 0.582379 -3.72265 --1.44671 1.98651 0.0509924 -0.157846 -0.0440851 0.201727 -0.536153 -0.260355 -0.0440851 0.201727 0.0465237 0.586845 -0.0440851 0.201727 0.489629 -0.326491 --0.631873 -1.73039 0.542164 -2.51464 --0.631873 -1.73039 -0.767418 2.32873 --0.631873 -1.73039 0.225254 0.185907 --0.609517 0.387357 -0.419541 0.910615 --0.609517 0.387357 0.890536 -0.308811 --1.25069 -1.36828 -0.821188 -2.5255 --1.25069 -1.36828 0.796676 2.23198 -1.58429 0.621285 1.29236 -1.98906 -1.58429 0.621285 -1.03033 1.75272 -1.58429 0.621285 -0.262027 0.236338 --0.565845 -1.09509 -0.0257024 -1.59591 --0.565845 -1.09509 -0.424604 1.16703 --0.565845 -1.09509 0.450306 0.428878 -0.432354 -1.48548 -1.95694 0.773141 -0.432354 -1.48548 1.59313 -0.529249 -0.432354 -1.48548 0.363808 -0.243892 -0.719168 0.770132 1.10832 -0.690244 -0.719168 0.770132 -1.21682 0.0362561 -0.90238 0.939498 1.43288 -0.780261 -0.90238 0.939498 -1.48476 0.252682 -0.90238 0.939498 0.0518885 0.527579 -0.987913 0.667886 1.13927 -1.05564 -0.987913 0.667886 -1.06188 0.379107 -0.987913 0.667886 -0.0773944 0.676534 -1.99488 -0.210378 0.562559 2.8378 -1.99488 -0.210378 -0.320622 -2.78746 -1.99488 -0.210378 -0.241936 -0.0503413 --1.5787 0.442829 -1.771 0.961246 -0.943875 1.67258 -2.73474 -0.146307 -0.943875 1.67258 2.59737 -0.0859489 -0.943875 1.67258 0.137378 0.232256 --1.70589 -1.91262 -1.24905 -3.98449 --1.70589 -1.91262 1.23177 3.83303 --0.305357 -0.0703991 0.689723 0.0598303 --0.305357 -0.0703991 -0.307907 -0.605707 --0.305357 -0.0703991 -0.381815 0.545877 --1.91173 -1.52701 -2.01607 -3.32292 --1.91173 -1.52701 2.0533 3.16008 --0.256507 1.18159 -0.892983 -1.14977 --0.256507 1.18159 0.370954 1.39329 --0.256507 1.18159 0.522029 -0.243516 --0.394115 0.62183 -0.1601 1.03304 --0.394115 0.62183 -0.559727 -0.671859 --0.394115 0.62183 0.719827 -0.361176 --0.96239 -1.38759 -0.32407 -2.32683 --0.96239 -1.38759 0.193872 1.99214 --0.96239 -1.38759 0.130198 0.334688 --0.627554 -0.577909 -0.384258 -1.08761 --0.627554 -0.577909 0.829606 0.436264 --0.627554 -0.577909 -0.445349 0.651349 --1.52957 -0.00604273 2.07722 0.0100515 --1.52957 -0.00604273 -1.62379 -0.0145047 --1.52957 -0.00604273 -0.453438 0.0044532 -1.24555 -0.635641 1.20212 1.42727 -1.24555 -0.635641 -0.875968 -0.946297 -1.24555 -0.635641 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-3.6462 -1.58448 -1.82604 -1.74214 -0.00717816 -0.156694 --0.112532 -1.09987 -1.00084 0.958308 --0.112532 -1.09987 0.392347 -1.1728 --0.112532 -1.09987 0.608493 0.214492 -1.9411 0.523927 1.19775 -2.69352 -1.9411 0.523927 -0.98265 2.57038 -1.9411 0.523927 -0.215101 0.123142 --0.763732 1.03328 -0.310739 1.667 --0.763732 1.03328 0.360209 -0.657504 --1.19438 1.9129 -0.215665 3.46769 --1.19438 1.9129 0.128707 -3.29082 --1.19438 1.9129 0.0869579 -0.176868 --0.159527 0.931229 -0.847822 -0.823203 --0.159527 0.931229 0.202369 1.11224 --0.159527 0.931229 0.645453 -0.289037 --0.285983 -1.98175 -1.64872 2.35728 --0.285983 -1.98175 1.41129 -2.42831 --0.285983 -1.98175 0.237428 0.0710255 --0.750404 -1.16311 -0.199459 -1.82656 --0.750404 -1.16311 -0.0813964 1.34146 --0.750404 -1.16311 0.280856 0.485102 -0.699161 0.350053 0.690211 -0.846818 -0.699161 0.350053 -0.85166 0.0223923 -0.699161 0.350053 0.161449 0.824426 --1.33481 0.773702 -1.27795 1.54112 --1.33481 0.773702 1.48594 -1.19455 --1.33481 0.773702 -0.207989 -0.346578 --0.843937 -1.6059 0.0709739 -2.55951 --0.843937 -1.6059 -0.247673 2.31113 --0.843937 -1.6059 0.176699 0.248382 -1.64927 -0.944486 1.91001 1.97264 -1.64927 -0.944486 -1.76986 -1.73069 -0.220936 -1.23322 -1.44797 0.789787 -0.220936 -1.23322 0.692905 -0.724102 -0.220936 -1.23322 0.755067 -0.0656849 -0.0860702 -0.310972 -0.63787 0.293408 -0.0860702 -0.310972 0.563947 0.37893 -0.0860702 -0.310972 0.0739225 -0.672338 -0.189473 0.917218 -1.11898 -0.562646 -0.189473 0.917218 0.308737 0.822737 -0.189473 0.917218 0.81024 -0.260092 -0.96642 -1.85095 -3.07804 0.279934 -0.96642 -1.85095 2.94817 -0.0912623 -0.96642 -1.85095 0.129862 -0.188672 -1.99046 0.345877 0.841909 -2.82157 -1.99046 0.345877 -0.611342 2.74068 -1.99046 0.345877 -0.230567 0.0808842 -1.24518 0.441802 0.914334 -1.48221 -1.24518 0.441802 -0.382916 1.1727 -1.24518 0.441802 -0.531417 0.309506 --0.593817 1.58825 0.430244 2.25828 --0.593817 1.58825 -0.692928 -2.03834 -1.40745 -0.74768 1.44488 1.63852 -1.40745 -0.74768 -1.21979 -1.29593 -1.40745 -0.74768 -0.225088 -0.342592 -0.951619 1.18155 1.80775 -0.63805 -0.951619 1.18155 -1.89658 0.233551 -0.951619 1.18155 0.0888389 0.404499 -1.03166 -1.34308 -2.22339 -0.273106 -1.03166 -1.34308 2.13651 0.602417 -1.03166 -1.34308 0.0868833 -0.329311 -1.89889 1.0169 2.18336 -2.42506 -1.89889 1.0169 -2.06362 2.24469 -1.89889 1.0169 -0.11974 0.180365 --1.21666 0.485507 1.48312 -0.67537 --1.21666 0.485507 -1.11914 1.05155 --1.21666 0.485507 -0.363971 -0.376182 --0.0159988 -1.42084 -1.39116 1.23751 --0.0159988 -1.42084 0.909046 -1.28612 --0.0159988 -1.42084 0.482113 0.048602 -0.199181 -0.689805 -0.944767 0.41355 -0.199181 -0.689805 0.760584 0.382974 -0.199181 -0.689805 0.184183 -0.796523 --0.250645 -0.195309 -0.215383 -0.661623 --0.250645 -0.195309 0.662816 0.164728 --0.250645 -0.195309 -0.447433 0.496895 --1.02527 0.00329524 1.3545 -0.00392445 --1.02527 0.00329524 -0.679462 0.548114 --1.02527 0.00329524 -0.675035 -0.54419 -1.39839 -1.43825 2.65086 1.15274 -1.39839 -1.43825 -2.65897 -0.905825 -1.39839 -1.43825 0.00810636 -0.246915 -0.729039 -1.23275 -1.84477 0.146532 -0.729039 -1.23275 1.64296 0.272084 --1.66473 1.03612 -1.79405 2.152 --1.66473 1.03612 1.90953 -1.92085 --1.66473 1.03612 -0.115479 -0.231157 --1.26548 1.57653 -0.678013 2.9118 --1.26548 1.57653 0.624735 -2.67113 -0.526003 1.81231 2.29679 0.832499 --1.17545 -1.87557 -0.220177 -3.3771 --1.17545 -1.87557 0.13044 3.19317 --1.17545 -1.87557 0.0897366 0.183933 -1.96742 0.525001 1.2055 -2.74683 -1.96742 0.525001 -0.995244 2.62789 --1.76417 -1.2422 -1.88818 -2.62153 --1.76417 -1.2422 1.96129 2.41998 --1.76417 -1.2422 -0.0731085 0.201549 --0.22378 0.977616 0.197988 1.19757 --0.22378 0.977616 -0.811479 -0.901816 -0.0378375 -0.862404 -0.966359 0.641213 -0.0378375 -0.862404 0.241988 -0.925441 -0.0378375 -0.862404 0.72437 0.284228 -1.1138 -1.37836 2.27702 0.70303 -1.1138 -1.37836 -2.34295 -0.397127 -1.1138 -1.37836 0.0659277 -0.305902 -0.215367 -0.0254815 0.319414 0.513656 -0.215367 -0.0254815 0.275545 -0.535488 -0.215367 -0.0254815 -0.594959 0.0218313 -0.793958 0.480849 0.845912 -0.905166 -0.793958 0.480849 -0.923509 0.102591 -0.793958 0.480849 0.0775965 0.802575 --0.803126 -1.45269 -0.0200963 -2.2818 --0.803126 -1.45269 -0.183328 1.97712 --0.803126 -1.45269 0.203425 0.304686 -1.11296 0.809527 1.39527 -1.15188 -1.11296 0.809527 -1.28732 0.632702 -1.11296 0.809527 -0.107951 0.519177 --1.21257 0.926783 -1.02008 1.75425 --1.21257 0.926783 1.15095 -1.35126 --1.21257 0.926783 -0.130877 -0.402993 -1.66735 1.4516 2.90754 -1.66313 -1.66735 1.4516 -2.88014 1.4606 -0.289493 0.47587 0.156865 0.739744 -1.95089 -1.20756 2.60976 2.42325 -1.95089 -1.20756 -2.52519 -2.25268 -1.95089 -1.20756 -0.0845622 -0.170573 --0.562113 -1.91324 0.884032 -2.71171 --0.562113 -1.91324 -1.09447 2.57733 --0.562113 -1.91324 0.21044 0.134386 -0.587577 0.54637 0.832648 -0.684812 -0.587577 0.54637 -0.979111 -0.0596249 -0.587577 0.54637 0.146463 0.744437 --0.27714 0.727944 -0.0161328 1.05513 --1.03792 -0.58046 -0.855017 -1.18348 --1.03792 -0.58046 1.19074 0.698216 --1.03792 -0.58046 -0.33572 0.485265 -0.154854 -0.305006 -0.671465 0.247054 -0.154854 -0.305006 0.556433 0.425633 -0.154854 -0.305006 0.115032 -0.672687 --0.679572 1.55788 0.271438 2.31058 --0.679572 1.55788 -0.510826 -2.06413 --0.679572 1.55788 0.239388 -0.246444 -1.97508 1.4407 3.12508 -2.31511 -1.97508 1.4407 -3.07424 2.1556 -1.97508 1.4407 -0.0508377 0.159509 --0.847331 -0.581876 -0.615296 -1.15284 --0.847331 -0.581876 0.986295 0.570739 --0.847331 -0.581876 -0.370999 0.582101 --0.470756 -0.566894 -0.246821 -1.02022 --0.470756 -0.566894 0.760618 0.366507 --0.470756 -0.566894 -0.513798 0.653713 -1.43169 -0.577872 1.17245 1.74007 -1.43169 -0.577872 -0.848012 -1.44358 -1.43169 -0.577872 -0.324434 -0.296488 --1.80554 1.76913 -1.59385 3.76537 --1.80554 1.76913 1.59722 -3.60875 --1.80554 1.76913 -0.00337099 -0.156619 --1.39723 -1.7686 -0.752134 -3.39599 --1.39723 -1.7686 0.706402 3.20384 --1.39723 -1.7686 0.0457311 0.192147 --0.446549 -1.36561 0.372996 -1.79656 --0.446549 -1.36561 -0.751157 1.53994 --0.446549 -1.36561 0.378161 0.256624 --0.466425 -0.41298 -0.297087 -0.89333 --0.466425 -0.41298 0.795687 0.292916 --0.466425 -0.41298 -0.4986 0.600415 -1.97248 1.63375 3.54537 -2.1566 -1.97248 1.63375 -3.51719 2.00681 -1.97248 1.63375 -0.0281767 0.149788 -0.0607969 -0.481876 -0.733331 0.395925 -0.0607969 -0.481876 0.0788069 -0.769364 -0.0607969 -0.481876 0.654525 0.373439 -0.387012 -0.876018 -1.20542 0.356547 -0.387012 -0.876018 0.948138 0.351571 -0.387012 -0.876018 0.257283 -0.708118 --0.0636004 -0.968826 -0.957243 0.79786 --0.0636004 -0.968826 0.288367 -1.05072 --0.0636004 -0.968826 0.668876 0.25286 --1.25376 -0.415001 1.5683 0.590927 --1.25376 -0.415001 -1.17121 -0.935453 --1.25376 -0.415001 -0.397088 0.344526 --1.90487 0.286125 2.72904 -0.559623 --1.90487 0.286125 -2.47086 0.641526 -0.396974 0.623126 -0.987234 -0.231183 -0.255188 -0.832768 -1.08999 0.451471 -0.255188 -0.832768 0.836009 0.32976 -0.255188 -0.832768 0.253981 -0.781231 -0.718479 0.986081 -1.49007 -0.0282334 -0.718479 0.986081 1.33435 -0.521563 -0.718479 0.986081 0.155722 0.549796 -1.68438 -1.22062 2.46145 1.87177 -1.68438 -1.22062 -2.39062 -1.65135 -1.68438 -1.22062 -0.0708346 -0.22042 -1.29187 1.69697 -3.09269 0.48664 -1.29187 1.69697 3.03462 -0.697571 --1.19129 -1.34152 -0.737861 -2.43437 --1.19129 -1.34152 0.702599 2.12063 --1.19129 -1.34152 0.0352614 0.31374 -1.4659 1.02036 1.94373 -1.59464 -1.4659 1.02036 -1.83887 1.29685 -1.4659 1.02036 -0.104861 0.297786 --1.45104 1.02052 -1.39233 2.0234 --1.45104 1.02052 1.50363 -1.72843 --1.45104 1.02052 -0.111296 -0.294967 -0.0316298 0.444577 -0.695651 -0.395356 -0.0316298 0.444577 0.0560578 0.756358 -0.0316298 0.444577 0.639593 -0.361002 --1.47041 -1.85236 -0.816925 -3.63264 --1.47041 -1.85236 0.776253 3.4581 --1.47041 -1.85236 0.0406719 0.174544 --0.134009 0.773399 -0.784596 -0.680586 --0.134009 0.773399 0.104292 1.00007 --0.134009 0.773399 0.680304 -0.319485 --1.30963 -0.468081 1.62821 0.693754 --1.30963 -0.468081 -1.27001 -1.01756 --1.55579 0.262376 2.09242 -0.443583 --1.55579 0.262376 -1.71386 0.592443 --1.55579 0.262376 -0.378565 -0.14886 -1.92286 -0.0124246 0.159362 2.67806 -1.92286 -0.0124246 0.108371 -2.67471 --0.904336 -0.269982 1.18286 0.288377 --0.904336 -0.269982 -0.688613 -0.818435 --0.904336 -0.269982 -0.494249 0.530058 --1.54159 1.72617 -1.0783 3.44434 --1.54159 1.72617 1.05742 -3.25831 --1.54159 1.72617 0.0208781 -0.186022 --0.493331 1.75398 0.780447 2.37631 --0.493331 1.75398 -1.03475 -2.22263 --1.04378 -0.491545 1.25137 0.593554 --1.04378 -0.491545 -0.869164 -1.06417 --1.04378 -0.491545 -0.382204 0.470618 -1.03644 -1.68993 -2.85114 -0.00465382 -1.03644 -1.68993 2.7378 0.230925 -1.03644 -1.68993 0.113339 -0.226271 -0.279247 -1.0638 -1.32109 0.586381 -0.279247 -1.0638 0.902311 0.134905 -0.279247 -1.0638 0.418781 -0.721286 -0.980142 -0.299402 0.684822 1.15258 -0.980142 -0.299402 0.0551468 -1.01387 -0.980142 -0.299402 -0.739969 -0.138717 -1.96157 -1.23388 2.67219 2.42923 -1.96157 -1.23388 -2.59174 -2.26088 --1.07497 1.93997 0.0372132 3.38607 --1.07497 1.93997 -0.145754 -3.21383 --1.07497 1.93997 0.108541 -0.17224 --1.63057 0.722442 2.04416 -1.29096 --1.63057 0.722442 -1.83718 1.5208 --1.63057 0.722442 -0.20698 -0.229837 -1.5575 -0.265007 0.662596 2.00052 -1.5575 -0.265007 -0.286931 -1.88328 -0.743319 -1.30122 -1.95691 0.171968 -0.743319 -1.30122 1.75454 0.209379 -0.743319 -1.30122 0.202372 -0.381347 --1.97623 -0.113635 2.89395 0.227309 --1.97623 -0.113635 -2.63853 -0.257665 --1.97623 -0.113635 -0.255422 0.0303565 --0.842863 1.9565 0.471926 3.14207 --0.842863 1.9565 -0.62382 -2.9829 --0.842863 1.9565 0.151895 -0.159169 -1.94693 -0.224846 0.591701 2.73917 -1.94693 -0.224846 -0.339425 -2.68178 -1.94693 -0.224846 -0.252276 -0.0573856 --1.02458 -0.0597322 1.35193 0.0710904 --1.02458 -0.0597322 -0.715629 -0.586899 --1.02458 -0.0597322 -0.636305 0.515809 -0.291686 -0.940618 -1.20965 0.486841 -0.291686 -0.940618 0.893852 0.260385 -0.291686 -0.940618 0.315802 -0.747226 -1.17387 0.654626 1.20218 -1.31427 -1.17387 0.654626 -0.932972 0.740977 -1.17387 0.654626 -0.269213 0.573296 -1.39224 0.236279 0.614457 -1.72526 -1.39224 0.236279 -0.151242 1.59786 -0.575109 -0.445269 0.742221 0.709941 -0.575109 -0.445269 -0.904438 0.0545916 -0.575109 -0.445269 0.162218 -0.764532 -1.3112 -0.981979 1.78075 1.35394 -1.3112 -0.981979 -1.68688 -0.991675 -1.3112 -0.981979 -0.0938695 -0.362268 --1.43688 -1.84332 -0.758513 -3.58181 --1.43688 -1.84332 0.713678 3.40382 --0.610213 0.213839 0.92448 -0.178184 --0.610213 0.213839 -0.449169 0.777457 -1.70249 -1.03115 2.10422 2.0265 -1.70249 -1.03115 -1.98772 -1.80077 -1.70249 -1.03115 -0.116504 -0.225733 -1.19282 -0.319495 -0.138927 -1.22462 --1.46276 -0.458791 1.8756 0.744384 --1.46276 -0.458791 -1.54511 -0.993093 --1.46276 -0.458791 -0.330489 0.248709 -0.0934219 -1.70188 -1.85277 1.46421 -0.0934219 -1.70188 1.50715 -1.43422 -0.0934219 -1.70188 0.34562 -0.0299922 --0.401687 1.64712 0.772159 2.10448 --0.401687 1.64712 -1.07424 -1.94869 --0.401687 1.64712 0.302085 -0.155781 -1.69215 1.96636 4.00599 -1.23006 -1.69215 1.96636 -4.02816 1.08332 -1.69215 1.96636 0.0221706 0.146744 --0.790886 -0.816367 -0.467507 -1.41187 --0.790886 -0.816367 0.728267 0.703664 --0.790886 -0.816367 -0.26076 0.708205 --0.3445 1.24983 0.360259 1.55482 --0.3445 1.24983 -0.822139 -1.29696 --0.3445 1.24983 0.46188 -0.257858 -1.08353 -1.18029 1.92668 0.839187 -1.08353 -1.18029 -1.96449 -0.463349 -1.08353 -1.18029 0.0378119 -0.375838 --1.81164 -1.7208 -1.64804 -3.66594 --1.81164 -1.7208 1.65649 3.50584 --1.81164 -1.7208 -0.00845761 0.160101 -1.15367 -1.75626 -3.08375 -0.163379 -1.15367 -1.75626 2.99488 0.37061 -1.15367 -1.75626 0.0888761 -0.207231 -0.44843 -0.629408 -1.01101 0.192377 -0.44843 -0.629408 0.836798 0.540866 -0.44843 -0.629408 0.174214 -0.733243 --0.231057 0.959374 0.617794 -0.303061 -1.54872 0.721029 1.45685 -1.89161 -1.54872 0.721029 -1.23005 1.62332 --1.50814 0.525443 1.92379 -0.876089 --1.50814 0.525443 -1.63026 1.12044 --1.50814 0.525443 -0.29353 -0.244349 --0.452658 1.14401 0.141188 1.55214 --0.452658 1.14401 -0.611395 -1.20627 --0.452658 1.14401 0.470207 -0.345869 --1.87993 1.55995 -1.92275 3.3714 --1.87993 1.55995 1.95398 -3.20672 --1.87993 1.55995 -0.0312297 -0.16468 --1.22655 -0.29828 1.57069 0.415184 --1.22655 -0.29828 -1.09696 -0.75554 --1.22655 -0.29828 -0.473732 0.340357 --1.84592 -1.413 -1.95317 -3.03121 --1.84592 -1.413 2.00194 2.85278 --1.84592 -1.413 -0.0487732 0.178429 -0.924158 0.386581 0.777329 -1.07331 -0.924158 0.386581 0.0335928 0.91408 -0.924158 0.386581 -0.810921 0.159227 -0.584989 -0.138556 0.485808 0.78127 -0.584989 -0.138556 0.28575 -0.797076 -0.584989 -0.138556 -0.771558 0.0158065 --1.17888 1.80134 -0.304369 3.24261 --1.17888 1.80134 0.217106 -3.04439 -0.730249 0.100195 0.464355 -0.906771 -0.730249 0.100195 0.300686 0.896567 -0.730249 0.100195 -0.765041 0.0102038 -0.812961 -1.50058 -2.32552 0.217366 -0.812961 -1.50058 2.1458 0.0716457 -0.812961 -1.50058 0.179718 -0.289012 -0.53208 -1.90912 -2.69638 1.08977 -0.53208 -1.90912 2.47711 -0.956408 -0.53208 -1.90912 0.219268 -0.133362 -1.81067 -1.89924 3.98112 1.55702 -1.81067 -1.89924 -3.98814 -1.4121 -1.81067 -1.89924 0.00702177 -0.144922 -1.19557 -1.20845 2.06846 0.995306 -1.19557 -1.20845 -2.07727 -0.655437 -1.19557 -1.20845 0.00881061 -0.339869 -1.90614 -1.26798 2.70795 2.29003 -1.90614 -1.26798 -2.63453 -2.11357 -1.90614 -1.26798 -0.073421 -0.17646 --1.74643 0.974167 -1.98561 2.06304 --1.74643 0.974167 2.11671 -1.85217 --1.74643 0.974167 -0.131106 -0.210872 --1.81266 -0.56196 2.46722 1.07107 --1.81266 -0.56196 -2.24108 -1.22936 --1.81266 -0.56196 -0.226142 0.158284 -1.01987 1.03447 1.65421 -0.866008 -1.01987 1.03447 -1.67788 0.416614 -1.01987 1.03447 0.0236736 0.449394 --1.26659 -0.153232 1.65917 0.218705 --1.26659 -0.153232 -1.0767 -0.492918 --1.26659 -0.153232 -0.582477 0.274213 -0.459474 -1.20298 -1.61424 0.490083 -0.459474 -1.20298 1.23449 -0.00209049 -0.459474 -1.20298 0.379749 -0.487993 --0.399654 0.433167 -0.238884 0.886957 --0.399654 0.433167 0.758612 -0.293646 --0.399654 0.433167 -0.519727 -0.593311 --1.48628 0.158783 -1.54409 0.380456 --0.471733 -0.789427 -0.141052 -1.21706 --0.471733 -0.789427 -0.524436 0.795475 -1.83496 1.43903 3.01527 -2.01755 -1.83496 1.43903 -2.97191 1.83881 -1.83496 1.43903 -0.0433656 0.178734 --1.77547 0.767235 2.29854 -1.45593 --1.77547 0.767235 -2.11755 1.64929 --1.77547 0.767235 -0.180982 -0.193361 --1.63116 0.417734 2.18089 -0.735262 --1.63116 0.417734 -1.87781 0.911336 --1.63116 0.417734 -0.303077 -0.176074 --0.0681484 -1.91118 -1.89765 1.96509 --0.0681484 -1.91118 1.62591 -1.98728 --0.0681484 -1.91118 0.271738 0.0221956 -0.588064 1.94899 -2.82847 -1.04647 -0.588064 1.94899 2.62664 0.911516 -0.588064 1.94899 0.201827 0.134951 -0.239906 0.202212 0.481438 -0.497325 -1.9439 -0.32488 0.794894 2.72826 -1.9439 -0.32488 -0.551666 -2.64674 -1.9439 -0.32488 -0.243228 -0.0815218 --0.942891 1.45944 -0.229641 2.42339 --0.942891 1.45944 0.0868111 -2.11856 --0.942891 1.45944 0.14283 -0.304834 -0.243564 1.96871 -2.4202 -1.61086 -0.243564 1.96871 2.17184 1.54992 -0.243564 1.96871 0.24836 0.0609421 --0.88823 -0.771637 -0.608066 -1.39731 --0.88823 -0.771637 0.859129 0.781901 --0.88823 -0.771637 -0.251063 0.615409 --0.769705 -1.90379 0.53221 -2.96207 --0.769705 -1.90379 -0.703168 2.79872 --0.769705 -1.90379 0.170958 0.163354 -1.33832 -0.495045 1.01497 1.61176 -1.33832 -0.495045 -0.593264 -1.30063 -1.33832 -0.495045 -0.421705 -0.311133 -1.61968 0.871119 1.75858 -1.95451 -1.61968 0.871119 -1.59449 1.70364 -1.61968 0.871119 -0.164094 0.250868 -1.03008 1.07074 1.71515 -0.851473 -1.03008 1.07074 -1.74493 0.420191 --1.19808 -0.0277237 1.57456 0.0377081 --1.19808 -0.0277237 -0.827344 -0.397044 --1.19808 -0.0277237 -0.747221 0.359335 --1.27303 1.13654 -1.01501 2.13666 --1.27303 1.13654 1.06194 -1.79377 --1.27303 1.13654 -0.0469347 -0.342891 --1.37061 -0.199583 1.80555 0.304567 --1.37061 -0.199583 -1.30881 -0.511841 -1.06285 -0.506166 0.959031 1.21358 -1.06285 -0.506166 -0.167984 -0.863726 -1.06285 -0.506166 -0.791047 -0.349853 -0.100829 1.31328 -1.41297 -0.995265 -0.100829 1.31328 0.822636 0.9949 -0.100829 1.31328 0.590338 0.000364814 -0.854036 1.20066 -1.87302 0.0641892 -0.854036 1.20066 1.73784 -0.478853 -0.854036 1.20066 0.135183 0.414664 -0.120038 1.8489 -2.08202 -1.62449 -0.120038 1.8489 1.79111 1.5902 -0.120038 1.8489 0.290912 0.0342904 -0.75415 -0.0380323 0.409909 0.92739 -0.75415 -0.0380323 0.346095 -0.922258 -0.75415 -0.0380323 -0.756004 -0.00513236 -1.86517 -0.0452716 0.232973 2.56505 -1.86517 -0.0452716 0.0505281 -2.55186 -1.86517 -0.0452716 -0.283501 -0.0131958 --1.688 -1.07656 -1.8214 -2.24371 --1.688 -1.07656 1.92732 2.01927 --1.00392 0.229764 1.30331 -0.268371 --1.00392 0.229764 -0.779183 0.753372 --1.00392 0.229764 -0.524129 -0.485001 --1.90703 0.376907 2.71267 -0.739064 --1.90703 0.376907 -2.46848 0.842214 --1.90703 0.376907 -0.244198 -0.10315 --0.342322 0.3168 -0.235905 0.781753 --0.342322 0.3168 0.733791 -0.230889 --0.342322 0.3168 -0.497885 -0.550863 --0.34641 1.2165 0.322641 1.52278 --0.34641 1.2165 -0.79827 -1.25229 --1.6342 1.85787 -1.14862 3.80056 --1.6342 1.85787 1.12785 -3.63827 --1.6342 1.85787 0.0207774 -0.162285 --1.07827 -0.98948 -0.778423 -1.79011 --1.07827 -0.98948 0.852566 1.31839 --1.07827 -0.98948 -0.0741431 0.471719 -1.89311 -1.61196 3.43091 2.00142 -1.89311 -1.61196 -3.4054 -1.84176 -1.89311 -1.61196 -0.0255087 -0.159664 -0.859323 0.79326 1.22299 -0.829454 -0.859323 0.79326 -1.26181 0.212158 -0.859323 0.79326 0.0388266 0.617295 --1.41434 -1.74692 -0.806028 -3.36963 --1.41434 -1.74692 0.764729 3.17534 -0.386254 -1.95025 -2.58026 1.37047 -0.386254 -1.95025 2.34429 -1.27365 --1.27958 -1.06872 -1.06403 -2.02378 --1.27958 -1.06872 1.13819 1.67081 --1.27958 -1.06872 -0.0741635 0.352966 --0.341566 -1.79227 -1.32879 2.11725 --0.341566 -1.79227 1.05369 -2.22716 --0.341566 -1.79227 0.275101 0.109912 --0.890208 1.73518 0.133868 2.81998 --0.890208 1.73518 -0.289418 -2.60753 --0.890208 1.73518 0.155549 -0.212447 -0.266943 -0.702866 -0.990787 0.369251 -0.266943 -0.702866 0.794155 0.404135 -0.266943 -0.702866 0.196632 -0.773385 --0.215206 -1.95276 -1.72562 2.21999 --0.215206 -1.95276 1.47464 -2.27762 --0.215206 -1.95276 0.250975 0.0576272 -1.26077 -1.45128 2.54706 0.888447 -1.26077 -1.45128 -2.58528 -0.623203 -1.26077 -1.45128 0.0382196 -0.265244 --1.60781 -1.84931 -1.10146 -3.75787 --1.60781 -1.84931 1.07835 3.59264 --1.60781 -1.84931 0.0231036 0.165222 -1.30988 -0.551014 1.09443 1.55313 -1.30988 -0.551014 -0.694007 -1.1829 -1.30988 -0.551014 -0.400423 -0.370233 -0.530585 -1.83042 -2.56952 0.999367 -0.530585 -1.83042 2.33515 -0.849531 -0.530585 -1.83042 0.234377 -0.149836 -1.91861 0.990827 2.14005 -2.479 -1.91861 0.990827 -2.01549 2.30322 -1.55749 -1.9322 3.78998 0.979567 -1.55749 -1.9322 -3.8244 -0.821183 -1.90788 1.42529 3.04175 -2.18217 -1.90788 1.42529 -2.99209 2.01289 -1.90788 1.42529 -0.0496529 0.169277 -0.749385 1.65821 -2.52599 -0.464777 -0.749385 1.65821 2.32948 0.234661 -0.45388 0.0129471 0.373071 -0.69858 -0.45388 0.0129471 0.355061 0.70281 -0.45388 0.0129471 -0.728131 -0.00423005 -1.66744 -1.04737 2.11508 1.94976 -1.66744 -1.04737 -2.00391 -1.71528 -0.681041 1.63206 -2.41709 -0.549701 -0.681041 1.63206 2.1949 0.317053 -0.681041 1.63206 0.222185 0.232648 --1.63275 1.29935 -1.58678 2.65813 --1.63275 1.29935 1.63963 -2.43466 --1.90565 1.31332 -2.14468 2.85558 --1.90565 1.31332 2.21148 -2.68151 --1.90565 1.31332 -0.0668002 -0.17407 --1.88435 -1.62149 -1.88579 -3.50871 --1.88435 -1.62149 1.91019 3.34868 --1.88435 -1.62149 -0.0244033 0.160032 --0.975262 -1.88368 0.153481 -3.17099 --0.975262 -1.88368 -0.282818 2.98998 -0.00376393 1.19575 -1.1986 -0.965028 -0.00376393 1.19575 0.57824 1.08528 --0.752927 0.561439 -0.51564 1.10794 --0.752927 0.561439 0.920867 -0.494335 --0.752927 0.561439 -0.405227 -0.613608 -1.44991 1.65192 3.10909 -1.04992 -1.44991 1.65192 -3.1361 0.845488 -1.44991 1.65192 0.027009 0.204435 --0.683231 -0.80095 -0.349771 -1.34215 --0.683231 -0.80095 0.696248 0.578691 --0.683231 -0.80095 -0.346477 0.763459 -1.29944 -0.942184 -1.60004 -0.983316 -0.401534 -1.10468 -1.45518 0.485808 -0.401534 -1.10468 1.0746 0.112504 -0.401534 -1.10468 0.38058 -0.598312 --1.74598 -1.57465 -1.62543 -3.3016 --1.74598 -1.57465 1.64448 3.12153 --1.74598 -1.57465 -0.0190517 0.180078 --0.055042 0.787876 -0.849868 -0.647128 --0.055042 0.787876 0.154731 0.958363 --0.055042 0.787876 0.695137 -0.311235 --1.32884 -1.01598 -1.17575 -1.95753 --1.32884 -1.01598 1.27793 1.61713 --1.32884 -1.01598 -0.102177 0.340401 --0.197142 0.93263 -0.814001 -0.844687 --0.197142 0.93263 0.179066 1.14383 --1.45827 -0.0646009 1.95899 0.103504 --1.45827 -0.0646009 -1.45439 -0.165165 --1.45827 -0.0646009 -0.504599 0.0616609 --0.957255 -1.07715 -0.547637 -1.85204 --0.957255 -1.07715 0.509345 1.3293 --0.957255 -1.07715 0.0382916 0.522745 -1.34179 -0.807476 -1.32675 -1.12368 --0.432465 0.519277 -0.233614 0.966198 --0.432465 0.519277 0.758337 -0.337164 --0.432465 0.519277 -0.524723 -0.629035 --1.86197 -1.78326 -1.70488 -3.84469 --1.86197 -1.78326 1.71154 3.69427 --1.86197 -1.78326 -0.00666017 0.150415 --1.09652 -1.07256 -0.761295 -1.92889 --1.09652 -1.07256 0.790529 1.49174 --1.09652 -1.07256 -0.0292348 0.437153 --1.08541 -1.42138 -0.495297 -2.48573 --1.08541 -1.42138 0.410662 2.17898 --1.08541 -1.42138 0.0846355 0.306759 --1.01739 -1.30011 -0.482357 -2.23355 --1.01739 -1.30011 0.390411 1.86588 --1.01739 -1.30011 0.0919461 0.36767 --0.575026 0.876242 -0.191268 1.36353 --0.575026 0.876242 -0.422034 -0.869892 --0.575026 0.876242 0.613302 -0.493634 -1.75882 0.401865 0.926893 -2.35677 -1.75882 0.401865 -0.648223 2.22788 -1.75882 0.401865 -0.27867 0.128892 --0.100897 -1.9293 -1.87231 2.03531 --0.100897 -1.9293 1.60711 -2.06557 -0.386554 0.842906 -1.17341 -0.339213 -0.386554 0.842906 0.930781 -0.37683 -0.386554 0.842906 0.242632 0.716044 -0.415281 1.77411 -2.34906 -1.11005 -0.415281 1.77411 2.07499 0.97409 -0.415281 1.77411 0.274071 0.135961 -0.741301 0.952292 -1.45345 0.015723 -0.741301 0.952292 1.31737 -0.576782 --0.184563 -0.663351 0.0122006 -0.961647 --0.184563 -0.663351 -0.69776 0.630109 --0.184563 -0.663351 0.685559 0.331538 -0.617633 0.625472 0.914492 -0.675921 -0.617633 0.625472 -1.0508 -0.0462346 -0.617633 0.625472 0.136311 0.722156 -1.85988 0.572515 1.2763 -2.51999 -1.85988 0.572515 -1.0557 2.37266 -1.85988 0.572515 -0.220603 0.147333 --1.8052 0.846178 2.31413 -1.62992 --1.8052 0.846178 -2.15454 1.82188 --1.8052 0.846178 -0.159585 -0.191958 -1.33674 -0.880102 1.6285 1.45665 -1.33674 -0.880102 -1.48328 -1.08553 -0.920789 -1.95658 -3.22301 0.475697 -0.920789 -1.95658 3.08742 -0.310254 -0.920789 -1.95658 0.135589 -0.165442 -1.65707 0.940927 1.9074 -1.98916 -1.65707 0.940927 -1.76614 1.74956 -1.65707 0.940927 -0.141253 0.239601 -0.875002 0.705692 1.1292 -0.898698 -0.875002 0.705692 -1.14296 0.230837 -0.875002 0.705692 0.0137606 0.667861 --1.91702 0.0656242 2.77958 -0.128605 --1.91702 0.0656242 -2.50563 0.148103 --0.991746 1.98167 0.237701 3.366 --0.991746 1.98167 -0.36043 -3.2034 --0.991746 1.98167 0.122729 -0.1626 -1.16847 0.688961 1.24953 -1.29196 -1.16847 0.688961 -1.02223 0.738303 -1.16847 0.688961 -0.227297 0.553661 -1.68836 -0.268487 0.671609 2.23533 -1.68836 -0.268487 -0.347954 -2.13677 -1.68836 -0.268487 -0.323654 -0.0985575 --0.313558 1.62164 -1.18687 -1.81798 --0.313558 1.62164 0.856663 1.95296 --0.313558 1.62164 0.330205 -0.134979 -1.46251 -0.231761 0.606101 1.83919 -1.46251 -0.231761 -0.180276 -1.72345 -1.46251 -0.231761 -0.425824 -0.115745 --0.887404 1.54905 -0.0560504 2.51323 --0.887404 1.54905 -0.108203 -2.24299 --0.887404 1.54905 0.164253 -0.270241 -1.26066 0.27299 0.669264 -1.52442 -1.26066 0.27299 -0.126457 1.36059 -1.26066 0.27299 -0.542807 0.163825 -0.468136 -1.86308 -2.54693 1.13546 -0.468136 -1.86308 2.30582 -1.00561 -0.468136 -1.86308 0.241107 -0.129847 -1.37414 0.059976 0.337553 -1.67862 -1.37414 0.059976 0.14728 1.64675 -1.37414 0.059976 -0.484833 0.0318635 -0.196122 1.40012 -1.60874 -0.982957 -0.196122 1.40012 1.08015 0.874337 -0.196122 1.40012 0.528589 0.10862 -1.04246 0.124499 0.477862 -1.22929 -1.04246 0.124499 0.191362 1.16913 -1.04246 0.124499 -0.669224 0.0601567 --1.88475 -1.23453 -2.14596 -2.67435 --1.88475 -1.23453 2.22498 2.49435 --1.88475 -1.23453 -0.0790252 0.180002 -0.824123 0.544672 0.924536 -0.914811 -0.824123 0.544672 -0.971514 0.142762 -0.824123 0.544672 0.0469782 0.77205 -1.25129 -1.62771 -2.92142 -0.466057 -1.25129 -1.62771 2.86099 0.693916 --1.46446 1.43171 -1.16735 2.80153 --1.46446 1.43171 1.17399 -2.56219 --1.46446 1.43171 -0.00664416 -0.23934 -1.79071 -1.13648 2.36394 2.13761 -1.79071 -1.13648 -2.26974 -1.93537 -1.79071 -1.13648 -0.0942031 -0.202233 -1.34084 1.67508 3.04396 -0.814398 -1.34084 1.67508 -3.09131 0.603455 -1.34084 1.67508 0.047351 0.210943 --0.417748 -1.60376 0.69435 -2.06616 --0.417748 -1.60376 -1.00473 1.89489 --0.417748 -1.60376 0.310378 0.171273 --0.981957 0.831809 -0.710002 1.51487 --0.981957 0.831809 0.89541 -0.958501 --0.981957 0.831809 -0.185408 -0.556366 --0.258324 -0.779989 0.0281614 -1.08146 --0.258324 -0.779989 -0.694177 0.741218 --0.258324 -0.779989 0.666016 0.340246 -0.1054 -1.14618 -1.25384 0.824355 -0.1054 -1.14618 0.545943 -0.923781 -0.1054 -1.14618 0.707894 0.0994256 --1.4102 0.680584 -1.43125 1.3952 --1.4102 0.680584 1.6753 -1.08824 --1.4102 0.680584 -0.244047 -0.306955 --0.687965 0.211726 0.989271 -0.187323 --0.687965 0.211726 -0.504191 0.782629 --0.687965 0.211726 -0.485081 -0.595307 --1.56584 0.630323 1.97465 -1.08772 --1.56584 0.630323 -1.72951 1.32813 -1.57797 0.894931 1.78161 -1.86635 -1.57797 0.894931 -1.62542 1.60067 -1.57797 0.894931 -0.156193 0.265688 --1.76414 0.0341591 2.48933 -0.0631947 --1.76414 0.0341591 -2.16209 0.0767903 --1.76414 0.0341591 -0.327244 -0.0135956 --0.537097 -0.423415 -0.350563 -0.922588 --0.537097 -0.423415 0.834132 0.313601 --0.537097 -0.423415 -0.483569 0.608987 --1.21029 -1.63529 -0.524396 -2.96912 --1.21029 -1.63529 0.4529 2.7366 --0.369129 0.911258 0.0295156 1.25952 --0.369129 0.911258 -0.638586 -0.893007 --0.369129 0.911258 0.60907 -0.366508 --0.741347 0.276884 1.02335 -0.254337 --0.741347 0.276884 -0.54338 0.834973 --0.340764 -0.701581 -0.0784881 -1.0701 --0.340764 -0.701581 -0.609729 0.709875 --0.340764 -0.701581 0.688217 0.360228 -1.52293 0.0401094 0.275486 -1.92136 -1.52293 0.0401094 0.13553 1.90286 -0.625419 -0.274988 0.607142 0.795164 -0.808051 0.347674 0.71111 -0.954729 -0.808051 0.347674 0.121682 0.874822 -0.808051 0.347674 -0.832793 0.0799065 -0.0201901 -0.660642 -0.821746 0.518197 -0.0201901 -0.660642 0.119596 -0.861981 -0.0201901 -0.660642 0.702149 0.343784 --1.90651 1.18353 -2.2205 2.57718 --1.90651 1.18353 2.3088 -2.39986 --1.75715 0.829173 2.22784 -1.56832 --1.75715 0.829173 -2.0611 1.77098 --1.75715 0.829173 -0.166741 -0.202653 --0.371492 0.760676 -0.070346 1.13436 --0.371492 0.760676 -0.601081 -0.759645 --0.371492 0.760676 0.671427 -0.37472 -0.61317 -0.746169 1.01816 0.605129 -0.61317 -0.746169 -1.16766 0.0755183 -0.61317 -0.746169 0.1495 -0.680647 --1.04304 -0.0319294 1.37532 0.0385796 --0.139309 -1.95567 -1.8482 2.12604 --0.139309 -1.95567 1.5921 -2.16473 --0.139309 -1.95567 0.256096 0.038691 -1.44377 -1.13953 2.14137 1.47616 -1.44377 -1.13953 -2.07674 -1.18771 -1.44377 -1.13953 -0.0646298 -0.288445 --1.29163 0.391125 1.63319 -0.570896 --1.29163 0.391125 -1.22982 0.889395 --1.29163 0.391125 -0.40337 -0.318499 --1.07724 0.264801 1.38276 -0.328773 --1.07724 0.264801 -0.875042 0.767054 --1.07724 0.264801 -0.50772 -0.438281 -0.637289 1.38085 -1.99432 -0.390381 -0.637289 1.38085 1.73188 0.0472932 -0.637289 1.38085 0.262442 0.343088 -1.04871 1.87291 -3.20296 -0.149625 -1.04871 1.87291 3.09055 -0.0355199 -1.1321 1.54158 -2.65883 0.308952 -1.1321 1.54158 2.57855 -0.567407 -0.636446 1.96842 -2.91876 -0.989067 -0.636446 1.96842 2.72887 0.850881 -0.636446 1.96842 0.189883 0.138186 --1.91271 -0.548702 2.67016 1.08308 --1.91271 -0.548702 -2.45768 -1.21811 --1.91271 -0.548702 -0.212481 0.135035 --1.70543 0.542135 2.27057 -0.99016 --1.70543 0.542135 -2.02051 1.17215 -0.501597 -1.68498 -2.31376 0.880835 -0.501597 -1.68498 2.03968 -0.698145 -0.501597 -1.68498 0.274079 -0.18269 --1.28545 0.0192101 1.69728 -0.0277389 --1.28545 0.0192101 -0.909361 0.216433 --1.28545 0.0192101 -0.78792 -0.188694 -1.78203 -1.44489 2.98614 1.90269 -1.78203 -1.44489 -2.94743 -1.71672 -1.78203 -1.44489 -0.0387097 -0.185971 --1.73266 0.332152 2.39021 -0.609118 --1.73266 0.332152 -2.09285 0.733935 --1.73266 0.332152 -0.297364 -0.124817 --1.25927 0.43913 1.56611 -0.628323 --1.25927 0.43913 -1.18345 0.973958 --1.25927 0.43913 -0.382659 -0.345635 --1.17064 1.73022 -0.361137 3.1037 --1.17064 1.73022 0.274823 -2.8902 --1.17064 1.73022 0.0863139 -0.213495 --0.0886139 1.76827 -1.68617 -1.78185 --0.0886139 1.76827 1.3715 1.81877 --0.0886139 1.76827 0.314668 -0.0369211 --0.551502 1.2238 0.103068 1.73361 --0.551502 1.2238 -0.492344 -1.37515 --0.551502 1.2238 0.389276 -0.35846 --1.39254 -0.542993 1.72265 0.850793 --1.39254 -0.542993 -1.41559 -1.14741 --1.39254 -0.542993 -0.307062 0.296614 -1.9609 -0.0479241 0.228177 2.76036 -1.9609 -0.0479241 0.0292116 -2.74815 -1.9609 -0.0479241 -0.257388 -0.012212 -1.86209 0.0863455 0.315496 -2.56307 -1.86209 0.0863455 -0.0322105 2.53784 -1.86209 0.0863455 -0.283286 0.0252309 -1.87769 1.44301 3.05654 -2.10457 -1.87769 1.44301 -3.01104 1.93211 --0.0232051 -0.907608 -0.950239 0.718552 --0.0232051 -0.907608 0.254247 -0.988637 --0.0232051 -0.907608 0.695992 0.270085 -0.247749 -1.82315 -2.21464 1.413 -0.247749 -1.82315 1.92598 -1.33577 -0.247749 -1.82315 0.288661 -0.0772335 -0.371495 -1.81945 -2.36385 1.2292 -0.371495 -1.81945 2.09322 -1.1146 --0.616056 1.80322 0.656553 2.60789 --0.616056 1.80322 -0.873795 -2.44227 --0.616056 1.80322 0.217242 -0.165618 --0.622427 -1.49251 0.282378 -2.15452 --0.622427 -1.49251 -0.555511 1.89482 --0.622427 -1.49251 0.273133 0.259699 --1.85372 -0.526814 2.56094 1.01795 --1.85372 -0.526814 -2.33411 -1.16113 --1.85372 -0.526814 -0.226828 0.14318 -1.96026 -0.802998 1.77264 2.64869 -1.96026 -0.802998 -1.61273 -2.49194 -1.96026 -0.802998 -0.159912 -0.156744 -0.97755 -0.765859 1.25956 0.991965 -0.97755 -0.765859 -1.21791 -0.387335 -0.97755 -0.765859 -0.0416575 -0.60463 -1.78077 1.71941 3.56273 -1.66475 -1.78077 1.71941 -3.55724 1.50182 -1.78077 1.71941 -0.00548983 0.162929 -0.228837 0.30682 -0.711779 -0.205672 -0.228837 0.30682 0.561404 -0.478403 -0.228837 0.30682 0.150374 0.684075 --1.13898 -1.25525 -0.712381 -2.25084 --1.13898 -1.25525 0.682144 1.89579 --1.13898 -1.25525 0.0302372 0.355051 --0.135159 0.0838528 -0.18217 0.512109 --0.135159 0.0838528 0.532783 -0.102181 --0.135159 0.0838528 -0.350613 -0.409927 -0.934704 1.72688 -2.82253 -0.213814 -0.934704 1.72688 2.68294 -0.003829 -0.934704 1.72688 0.139593 0.217643 --1.58547 -0.68433 1.9817 1.19579 --1.58547 -0.68433 -1.75759 -1.43625 --1.31144 -0.175673 1.72079 0.258297 --1.31144 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-0.314259 -0.244448 --1.60411 -1.34215 -1.50219 -2.72477 --1.60411 -1.34215 1.54383 2.4998 --1.60411 -1.34215 -0.0416395 0.224971 -0.208627 -1.28479 -1.49202 0.851942 -0.208627 -1.28479 0.817156 -0.751906 -0.208627 -1.28479 0.674859 -0.100035 -0.335564 -0.0485824 0.374587 0.604943 -0.335564 -0.0485824 0.304645 -0.631383 --1.94285 -0.641899 2.69451 1.28382 --1.94285 -0.641899 -2.5042 -1.42651 -1.52054 -0.411426 0.912067 1.92519 -1.52054 -0.411426 -0.553245 -1.73526 -1.52054 -0.411426 -0.358823 -0.189928 --0.0848856 -1.01568 -0.969495 0.85529 --0.0848856 -1.01568 0.321389 -1.09479 --0.0848856 -1.01568 0.648107 0.239499 -0.46999 -0.858727 -1.23074 0.265043 -0.46999 -0.858727 1.00429 0.41401 -0.46999 -0.858727 0.226445 -0.679053 --1.33458 1.14007 -1.12046 2.17838 --1.33458 1.14007 1.17757 -1.85764 --1.33458 1.14007 -0.0571063 -0.320735 --1.03891 0.531227 -0.861071 1.117 --1.03891 0.531227 1.22297 -0.638932 --1.03891 0.531227 -0.361894 -0.478073 -1.01094 0.826116 1.35855 -1.00057 -1.01094 0.826116 -1.31664 0.445453 -1.01094 0.826116 -0.0419174 0.555115 -1.66346 -1.9986 4.04514 1.1338 -1.66346 -1.9986 -4.07198 -0.988543 -1.66346 -1.9986 0.0268381 -0.145256 --0.167595 -0.486922 -0.0524498 -0.840618 --0.167595 -0.486922 -0.625723 0.528102 -0.952712 0.709464 1.17449 -0.99083 -0.952712 0.709464 -1.1349 0.339452 -0.952712 0.709464 -0.0395891 0.651378 -1.35543 -1.16072 2.11457 1.30466 -1.35543 -1.16072 -2.07157 -0.995125 --0.478844 0.692274 -0.198837 1.13273 --0.478844 0.692274 -0.515959 -0.723511 --0.478844 0.692274 0.714796 -0.409215 -1.53723 1.81917 3.5338 -1.05667 -1.53723 1.81917 -3.56322 0.88325 -1.53723 1.81917 0.0294216 0.173418 --0.627448 0.0313724 0.951645 -0.0269545 --0.627448 0.0313724 -0.474718 0.671892 --0.627448 0.0313724 -0.476927 -0.644937 --0.471695 1.81317 0.89073 2.43613 --0.471695 1.81317 -1.13694 -2.29952 --0.471695 1.81317 0.246207 -0.136614 -1.45962 0.657203 1.31382 -1.76125 -1.45962 0.657203 -1.04203 1.45927 -1.45962 0.657203 -0.271795 0.301978 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1.32319 -0.850429 2.44461 --1.24844 1.32319 0.835371 -2.13889 --1.24844 1.32319 0.0150575 -0.305716 -0.187301 -1.9333 -2.29197 1.64499 -0.187301 -1.9333 2.0299 -1.59582 -0.187301 -1.9333 0.262068 -0.0491663 -1.8902 0.316289 0.773524 -2.62093 -1.8902 0.316289 -0.516393 2.53511 -1.8902 0.316289 -0.257131 0.0858211 -1.28877 -0.894675 1.62501 1.37059 -1.28877 -0.894675 -1.49693 -0.978269 -1.28877 -0.894675 -0.128076 -0.392323 --1.12321 -0.43755 1.37849 0.56512 --1.12321 -0.43755 -0.975904 -0.986778 --1.12321 -0.43755 -0.402591 0.421658 --0.690156 -0.604844 -0.437649 -1.13503 --0.690156 -0.604844 0.851556 0.486831 --0.690156 -0.604844 -0.413907 0.648195 -0.884308 -1.08849 1.61331 0.630711 -0.884308 -1.08849 -1.7116 -0.1704 --0.725711 1.74605 0.414322 2.65104 --0.725711 1.74605 -0.612777 -2.45577 --0.725711 1.74605 0.198455 -0.195276 -0.895401 0.286976 0.660713 -1.05758 -0.895401 0.286976 0.114954 0.957171 -0.895401 0.286976 -0.775667 0.100408 --0.588109 -1.52978 0.371608 -2.16881 --0.588109 -1.52978 -0.649005 1.93049 --0.588109 -1.52978 0.277397 0.238318 --1.39724 1.78637 -0.735196 3.43079 --1.39724 1.78637 0.688172 -3.24148 --1.39724 1.78637 0.0470238 -0.189306 -1.3888 1.52041 2.79639 -1.05902 -1.3888 1.52041 -2.81821 0.825537 -1.3888 1.52041 0.0218273 0.233487 --0.0339069 1.98433 -2.04697 -2.02836 --0.0339069 1.98433 1.79359 2.03909 --0.0339069 1.98433 0.253372 -0.0107276 --0.253304 -0.301248 -0.177272 -0.739572 --0.253304 -0.301248 0.683144 0.230167 --0.253304 -0.301248 -0.505872 0.509405 --0.756279 1.50612 0.103073 2.31506 --0.756279 1.50612 -0.320894 -2.03787 --0.978017 0.277373 1.26144 -0.316487 --0.978017 0.277373 -0.765256 0.81142 -0.840802 -1.77441 -2.81323 0.425825 -0.840802 -1.77441 2.65074 -0.223599 -0.840802 -1.77441 0.162495 -0.202226 -0.795449 -1.16178 -1.77937 0.00411665 -0.795449 -1.16178 1.62329 0.439742 -0.795449 -1.16178 0.156081 -0.443858 --1.03725 0.380489 1.29549 -0.456666 --1.03725 0.380489 -0.853996 0.920697 -0.661977 0.155436 0.508233 -0.843788 -0.661977 0.155436 0.27104 0.843364 -0.661977 0.155436 -0.779272 0.000424419 --0.457628 1.43509 0.437697 1.89454 --0.457628 1.43509 -0.787725 -1.65926 --0.457628 1.43509 0.350028 -0.235286 -0.396634 1.49776 -1.93783 -0.833654 -0.396634 1.49776 1.56013 0.611203 -0.396634 1.49776 0.377696 0.222451 -1.77415 -1.80755 3.74577 1.56738 -1.77415 -1.80755 -3.74882 -1.41169 --0.518236 -1.79466 0.79608 -2.46962 --0.518236 -1.79466 -1.0365 2.31968 --1.51413 -1.55375 -1.16963 -3.07691 --1.51413 -1.55375 1.16474 2.86378 --1.51413 -1.55375 0.00489094 0.21313 --0.777478 -1.8581 0.46348 -2.89508 --0.777478 -1.8581 -0.637232 2.72122 --0.43222 0.143458 0.791871 -0.112869 --0.43222 0.143458 -0.351651 0.695686 -1.94005 1.09749 2.37237 -2.46612 -1.94005 1.09749 -2.26863 2.29286 -1.94005 1.09749 -0.103739 0.173259 --0.781534 0.378567 -0.574406 0.927706 --0.781534 0.378567 1.02947 -0.356148 -0.527935 0.122999 0.466067 -0.737791 -0.527935 0.122999 0.293546 0.762764 --0.93701 1.18629 -0.444298 1.99887 --0.93701 1.18629 0.334966 -1.54479 --0.93701 1.18629 0.109332 -0.454075 -0.337671 -1.79119 -2.28124 1.24429 -0.337671 -1.79119 1.99622 -1.13426 -0.62426 0.699979 0.983954 -0.642579 -0.62426 0.699979 -1.1231 -0.0534548 -0.62426 0.699979 0.139151 0.696034 -0.547667 -0.670917 0.917153 0.59397 -0.547667 -0.670917 -1.07713 0.11966 -0.547667 -0.670917 0.159981 -0.71363 --0.840739 -1.35359 -0.167718 -2.16914 --0.840739 -1.35359 -0.0228325 1.81295 --1.08185 -0.698801 -0.895087 -1.35815 --1.08185 -0.698801 1.1583 0.882308 --1.08185 -0.698801 -0.263211 0.475845 -1.96166 1.50627 3.25727 -2.23603 -1.96166 1.50627 -3.21533 2.07799 -1.96166 1.50627 -0.0419385 0.158046 --1.9936 -1.02733 -2.48513 -2.28162 --1.9936 -1.02733 2.60022 2.12034 --1.9936 -1.02733 -0.115092 0.161282 --1.75692 0.495501 2.38542 -0.92223 --1.75692 0.495501 -2.13309 1.08159 --1.75692 0.495501 -0.252334 -0.159363 -1.60129 1.65914 3.2695 -1.34607 -1.60129 1.65914 -3.27649 1.15854 -1.60129 1.65914 0.00698508 0.187523 -1.23879 -1.48342 2.58357 0.817645 -1.23879 -1.48342 -2.63123 -0.556788 -0.577488 -1.85574 -2.664 0.953962 -0.577488 -1.85574 2.44497 -0.801363 -0.577488 -1.85574 0.21903 -0.152599 -1.42463 -1.30935 2.43478 1.31196 -1.42463 -1.30935 -2.41465 -1.0469 -1.42463 -1.30935 -0.0201295 -0.265062 --0.907499 -1.33402 -0.284598 -2.19735 --0.907499 -1.33402 0.131269 1.83165 -1.94696 -1.53014 3.29759 2.1853 -1.94696 -1.53014 -3.25932 -2.02676 -0.120976 1.74531 -1.9447 -1.48522 -0.120976 1.74531 1.61751 1.44578 -0.120976 1.74531 0.327186 0.0394398 -1.35981 -0.599628 1.18585 1.61674 -1.35981 -0.599628 -0.850302 -1.26462 -1.35981 -0.599628 -0.33555 -0.352112 --1.9408 -0.866176 2.58163 1.74681 --1.9408 -0.866176 -2.43468 -1.91093 --1.9408 -0.866176 -0.14695 0.164124 -0.839257 1.70013 -2.68362 -0.354687 -0.839257 1.70013 2.51713 0.132207 -0.839257 1.70013 0.166488 0.22248 --0.369105 -1.976 -1.50368 2.45273 --0.369105 -1.976 1.27471 -2.54189 -0.884228 -1.85666 -3.00296 0.434443 -0.884228 -1.85666 2.8551 -0.249886 -0.884228 -1.85666 0.147857 -0.184557 -1.85414 -0.458605 1.05079 2.53242 -1.85414 -0.458605 -0.80666 -2.40712 -1.85414 -0.458605 -0.24413 -0.1253 --0.462706 -0.737339 -0.161538 -1.16482 --0.462706 -0.737339 -0.529098 0.754193 --0.462706 -0.737339 0.690636 0.410631 -0.614856 -1.07942 -1.56195 0.211221 -0.614856 -1.07942 1.32746 0.316561 -0.614856 -1.07942 0.234489 -0.527782 --1.77044 -0.570793 2.38202 1.07109 --1.77044 -0.570793 -2.15094 -1.24099 --0.361116 1.03182 0.131944 1.36006 --0.361116 1.03182 -0.68685 -1.02283 --0.361116 1.03182 0.554906 -0.337226 -0.211826 -1.88867 -2.26097 1.54965 -0.211826 -1.88867 1.98836 -1.49008 -1.32376 -0.47638 -0.539722 -1.28759 --0.590328 1.70897 0.579131 2.43153 --0.590328 1.70897 -0.818977 -2.24733 --0.590328 1.70897 0.239846 -0.184199 --0.358774 1.90532 -1.43394 -2.32215 --0.358774 1.90532 1.18863 2.41863 --0.524551 -0.852937 -0.154011 -1.30898 --0.524551 -0.852937 -0.476096 0.852324 --0.524551 -0.852937 0.630106 0.456658 --1.45717 -0.385399 1.89365 0.621425 --1.45717 -0.385399 -1.52956 -0.853511 --1.45717 -0.385399 -0.364089 0.232086 --0.85086 -1.24299 -0.27545 -2.01629 --0.85086 -1.24299 0.0913609 1.58933 --0.85086 -1.24299 0.18409 0.426967 --1.5781 0.184113 2.14497 -0.314185 --1.5781 0.184113 -1.7525 0.420636 --1.5781 0.184113 -0.392467 -0.106451 -1.8731 1.77728 3.77346 -1.81126 -1.8731 1.77728 -3.76576 1.66158 -1.8731 1.77728 -0.00770262 0.149678 -1.71181 -1.2673 2.5729 1.8933 -1.71181 -1.2673 -2.50951 -1.68189 -1.71181 -1.2673 -0.0633919 -0.211405 --0.497322 1.81874 0.859412 2.47864 --0.497322 1.81874 -1.09937 -2.33786 --1.0561 -0.792428 -0.830281 -1.48652 --1.0561 -0.792428 1.0378 0.986204 --1.0561 -0.792428 -0.20752 0.500314 --1.10622 1.44837 -0.507616 2.54864 --1.10622 1.44837 0.426465 -2.25387 --1.10622 1.44837 0.0811517 -0.294768 -0.772587 -0.912742 1.2991 0.644524 -0.772587 -0.912742 -1.41021 -0.0712075 -0.772587 -0.912742 0.11111 -0.573316 --1.16289 1.18433 -0.799807 2.14969 --1.16289 1.18433 0.800924 -1.77873 --1.16289 1.18433 -0.00111676 -0.370962 -1.13324 1.80423 -3.15632 0.0788391 -1.13324 1.80423 3.0617 -0.27691 -1.13324 1.80423 0.0946198 0.198071 -0.552713 1.50541 -2.10105 -0.62321 -0.552713 1.50541 1.80643 0.356491 -0.0476754 1.86381 -2.00225 -1.74292 -0.0476754 1.86381 1.71424 1.73184 --0.301689 0.355292 -0.193395 0.795557 --0.301689 0.355292 0.713778 -0.253046 --0.301689 0.355292 -0.520383 -0.54251 --0.984055 1.37987 -0.364924 2.33302 --0.984055 1.37987 0.24524 -1.99698 --0.984055 1.37987 0.119684 -0.336046 --0.541309 -0.824361 -0.187622 -1.29052 -1.73751 0.943251 1.95321 -2.14155 -1.73751 0.943251 -1.81334 1.92484 -1.73751 0.943251 -0.139869 0.216714 --0.992462 -1.93154 0.177756 -3.27622 --0.992462 -1.93154 -0.302066 3.10423 --1.53967 0.877337 -1.61606 1.79281 --1.53967 0.877337 1.77798 -1.52437 --1.53967 0.877337 -0.161922 -0.268434 --0.807949 -0.610841 -0.563096 -1.17642 --0.807949 -0.610841 0.932364 0.568742 --0.807949 -0.610841 -0.369267 0.60768 --1.82815 1.7627 -1.64848 3.77078 --1.82815 1.7627 1.65431 -3.61569 --1.38593 -1.54848 -0.926226 -2.96223 --1.38593 -1.54848 0.901059 2.73074 --1.38593 -1.54848 0.0251668 0.231486 --0.647269 0.653156 -0.376686 1.16912 --0.647269 0.653156 0.797381 -0.487441 --0.647269 0.653156 -0.420695 -0.681681 -1.88789 -0.142101 0.425355 2.61848 -1.88789 -0.142101 -0.15196 -2.57862 -1.88789 -0.142101 -0.273395 -0.0398585 --0.10698 1.51922 -1.37738 -1.45695 --0.10698 1.51922 0.96481 1.53259 --1.36445 1.75818 -0.698242 3.34455 --1.36445 1.75818 0.647869 -3.14826 --0.00446603 -0.478141 -0.698305 0.433976 --0.00446603 -0.478141 0.0442085 -0.783137 --0.00446603 -0.478141 0.654096 0.349161 --0.666382 0.514176 -0.440665 1.038 --0.666382 0.514176 0.884025 -0.415737 --0.666382 0.514176 -0.44336 -0.622258 -1.81449 0.793388 1.69605 -2.35943 -1.81449 0.793388 -1.52107 2.17107 --0.956239 -1.77809 0.0687634 -2.96513 --0.956239 -1.77809 -0.205755 2.76096 --0.956239 -1.77809 0.136991 0.204162 --1.69829 1.73167 -1.39697 3.59298 --1.69829 1.73167 1.39388 -3.42276 -0.0266209 0.811533 -0.92313 -0.612099 -0.0266209 0.811533 0.203519 0.91608 -0.0266209 0.811533 0.719611 -0.303981 -1.5618 0.814096 1.62789 -1.87587 -1.5618 0.814096 -1.4409 1.60555 -1.5618 0.814096 -0.186996 0.270328 -0.332011 -1.17227 -1.47787 0.615581 -0.332011 -1.17227 0.985188 -0.0208389 -0.332011 -1.17227 0.492683 -0.594743 -0.287597 1.72425 0.31644 0.10545 -0.482521 -0.813378 -1.19067 0.231855 -0.482521 -0.813378 0.983079 0.456755 -0.482521 -0.813378 0.207595 -0.688609 -0.307925 1.37404 -1.69149 -0.824168 -0.307925 1.37404 1.17395 0.58307 -0.307925 1.37404 0.517533 0.241097 -0.117647 1.72372 1.5764 1.42232 --0.127124 -0.650962 -0.727265 0.595324 --0.127124 -0.650962 0.041092 -0.925725 --0.127124 -0.650962 0.686173 0.330401 --0.336849 -1.40486 0.547686 -1.71537 --0.336849 -1.40486 -0.948861 1.51341 --0.336849 -1.40486 0.401175 0.20197 -0.392792 -0.839427 -1.17337 0.331483 -0.392792 -0.839427 0.933554 0.382688 --0.93363 1.30976 -0.344449 2.18202 --0.93363 1.30976 0.207763 -1.8054 --0.93363 1.30976 0.136686 -0.376623 -1.26012 1.28865 2.25947 -1.03594 -1.26012 1.28865 -2.26929 0.731994 -1.26012 1.28865 0.00981666 0.303946 --1.32961 1.00621 -1.18175 1.94087 --1.32961 1.00621 1.28795 -1.59973 --0.622233 0.803843 -0.282094 1.31408 --0.622233 0.803843 -0.395243 -0.789218 --0.622233 0.803843 0.677337 -0.524858 --0.958741 -0.617551 -0.744084 -1.21973 --0.958741 -0.617551 1.07251 0.685559 --0.958741 -0.617551 -0.328422 0.534172 -0.930828 1.15477 1.7491 -0.633409 -0.930828 1.15477 -1.84117 0.213202 -0.561394 1.16579 -1.64057 -0.334458 -0.561394 1.16579 1.35015 -0.154469 -0.561394 1.16579 0.290414 0.488927 --0.253263 1.13157 -0.865244 -1.087 --0.253263 1.13157 0.320755 1.34628 -0.131076 1.39259 -1.53029 -1.04827 -0.131076 1.39259 0.999019 1.00011 -1.80695 0.747853 1.60401 -2.36214 -1.80695 0.747853 -1.41673 2.17644 -1.80695 0.747853 -0.187281 0.185698 -0.978416 0.26219 0.640927 -1.15406 -0.978416 0.26219 0.0876281 1.03593 -0.978416 0.26219 -0.728555 0.11813 --0.000453455 -0.695138 -0.830403 0.551982 --0.101759 1.68133 -1.56372 -1.67365 --0.101759 1.68133 1.21891 1.7234 --0.101759 1.68133 0.344808 -0.0497533 -0.768116 0.968616 -1.48563 0.0465009 -0.768116 0.968616 1.35898 -0.592955 -0.768116 0.968616 0.12665 0.546454 -1.87584 -0.576668 1.28848 2.55055 -1.87584 -0.576668 -1.07159 -2.40578 --1.69552 -1.56021 -1.53123 -3.23256 --1.69552 -1.56021 1.54736 3.04464 --1.69552 -1.56021 -0.0161346 0.187924 -1.9082 0.501903 1.14665 -2.63176 -1.9082 0.501903 -0.92157 2.50705 -0.247943 1.23208 -1.47148 -0.759616 -0.247943 1.23208 0.676689 0.663997 -0.247943 1.23208 0.794788 0.0956194 --0.891309 -1.59237 -0.0188428 -2.5866 --0.891309 -1.59237 -0.142648 2.33136 --0.891309 -1.59237 0.161491 0.255244 -1.33522 -1.14524 2.07264 1.28123 -1.33522 -1.14524 -2.02946 -0.962756 --0.711505 -0.760217 -0.400579 -1.31011 --0.711505 -0.760217 0.746079 0.589095 --0.711505 -0.760217 -0.3455 0.721015 --0.696987 -0.481954 -0.477873 -1.01446 --0.696987 -0.481954 0.919793 0.406816 --0.696987 -0.481954 -0.44192 0.607647 -1.50627 -1.05082 2.02348 1.64787 -1.50627 -1.05082 -1.92422 -1.36669 -1.50627 -1.05082 -0.0992633 -0.281186 -1.46147 -1.81542 3.44705 0.906042 -1.46147 -1.81542 -3.48627 -0.726662 --1.46553 -1.03099 -1.4141 -2.0495 --1.46553 -1.03099 1.52288 1.76008 --1.46553 -1.03099 -0.108777 0.289419 -1.37203 1.34836 2.46201 -1.18315 -1.37203 1.34836 -2.45933 0.914766 -1.37203 1.34836 -0.00267765 0.268379 -0.278563 1.64836 -2.0111 -1.15637 -0.278563 1.64836 1.66258 1.03986 -0.278563 1.64836 0.348518 0.116514 -1.8408 1.60707 3.37589 -1.89301 -1.8408 1.60707 -3.3536 1.72713 -1.8408 1.60707 -0.0222863 0.16588 --1.34555 1.56019 -0.840361 2.95049 --1.34555 1.56019 0.805938 -2.71595 -1.72751 0.88447 1.83502 -2.15105 -1.72751 0.88447 -1.67867 1.93328 -1.72751 0.88447 -0.156355 0.217773 --1.32468 1.59519 -0.771245 2.99806 --1.32468 1.59519 0.728454 -2.76799 -0.0185694 1.85459 -1.94897 -1.76864 -0.0185694 1.85459 1.65812 1.76668 -0.0185694 1.85459 0.290845 0.00196926 -1.46807 1.28475 -2.39177 1.15191 -0.754593 0.501172 0.853546 -0.857823 -0.754593 0.501172 -0.946285 0.0746858 -0.754593 0.501172 0.0927388 0.783137 -1.29221 0.130191 0.458003 -1.56456 -1.29221 0.130191 0.0704904 1.49162 -1.29221 0.130191 -0.528493 0.0729379 -0.501218 -1.02349 -1.42742 0.31847 -0.501218 -1.02349 1.1486 0.278924 -0.501218 -1.02349 0.278817 -0.597395 -0.909597 -1.25529 -1.99456 -0.121103 -0.909597 -1.25529 1.8747 0.502419 -0.909597 -1.25529 0.119865 -0.381316 -1.83148 1.47914 3.0968 -1.97881 -1.83148 1.47914 -3.05927 1.80234 -0.753226 0.0626024 0.431364 -0.927221 -0.753226 0.0626024 0.326525 0.918832 -1.46876 1.43412 2.70535 -1.28904 -1.46876 1.43412 -2.70086 1.05278 -1.46876 1.43412 -0.00448933 0.236265 --1.49816 -1.51108 -1.1721 -2.9806 --1.49816 -1.51108 1.17098 2.75893 --0.672965 1.11949 -0.133943 1.71016 --0.672965 1.11949 -0.236944 -1.22627 --0.672965 1.11949 0.370887 -0.483887 --0.989392 -0.275318 1.27498 0.317313 --0.989392 -0.275318 -0.777047 -0.80643 --0.989392 -0.275318 -0.49793 0.489117 --1.11469 1.9086 -0.071215 3.37258 --1.11469 1.9086 -0.0301546 -3.19426 -1.31758 -0.054388 0.340363 1.59008 -1.31758 -0.054388 0.175279 -1.56027 -1.31758 -0.054388 -0.515642 -0.0298094 -1.98259 -1.71601 3.73652 2.10857 -1.98259 -1.71601 -3.71583 -1.96465 -1.98259 -1.71601 -0.0206894 -0.14392 -1.03633 0.714059 1.22274 -1.09652 -1.03633 0.714059 -1.11937 0.474864 -1.03633 0.714059 -0.103371 0.621659 -1.98631 1.3014 2.83248 -2.43785 -1.98631 1.3014 -2.76187 2.2749 -1.98631 1.3014 -0.070607 0.162947 -1.77508 -1.01512 2.11345 2.1771 -1.77508 -1.01512 -1.99213 -1.96935 -1.77508 -1.01512 -0.121324 -0.207751 -0.601532 0.584791 0.871527 -0.680655 -0.601532 0.584791 -1.01265 -0.0540303 --1.09394 -0.528093 -0.93696 -1.11558 --1.09394 -0.528093 1.29362 0.667325 --1.09394 -0.528093 -0.356656 0.448255 --0.935675 0.648559 -0.707581 1.25444 --0.935675 0.648559 1.0236 -0.701262 --0.935675 0.648559 -0.316019 -0.553176 --1.21482 -0.807721 -1.06832 -1.56229 --1.21482 -0.807721 1.26224 1.15581 -1.54724 1.8613 3.63122 -1.03348 -1.54724 1.8613 -3.6624 0.866008 -1.69657 -0.140392 0.433582 2.24749 -1.69657 -0.140392 -0.0991874 -2.19587 -1.69657 -0.140392 -0.334394 -0.0516179 -1.30892 1.76718 -3.24809 0.457968 -1.30892 1.76718 3.18824 -0.65506 --1.34431 -0.525408 1.65448 0.798708 --1.34431 -0.525408 -1.3311 -1.11512 -1.25263 -0.593211 1.1409 1.45291 -1.25263 -0.593211 -0.754262 -0.990814 -1.25263 -0.593211 -0.38664 -0.462092 -0.52293 1.22815 1.3621 -0.0231096 -0.449164 -0.298774 0.591687 0.644869 -0.319286 0.930092 -1.2175 -0.453824 -0.319286 0.930092 0.914538 -0.277764 -0.319286 0.930092 0.302959 0.731588 --0.803579 1.42215 -0.049986 2.2367 --0.803579 1.42215 -0.155734 -1.91786 --0.803579 1.42215 0.20572 -0.318841 -0.941117 1.79068 -2.94301 -0.264844 -0.941117 1.79068 2.80608 0.0629988 -0.941117 1.79068 0.136933 0.201845 -1.94426 -1.86709 4.03962 1.88494 -1.94426 -1.86709 -4.03416 -1.74751 -1.94426 -1.86709 -0.00546143 -0.137435 --1.86273 0.396509 2.62042 -0.765726 --1.86273 0.396509 -2.36966 0.880875 --1.86273 0.396509 -0.250767 -0.115148 -1.63077 0.685544 1.42323 -2.0518 -1.63077 0.685544 -1.19397 1.82095 --0.87159 1.76698 0.200279 2.85253 --0.87159 1.76698 -0.35889 -2.64942 --0.965173 1.08406 -0.554878 1.86713 --0.965173 1.08406 0.51684 -1.35457 --0.965173 1.08406 0.0380379 -0.51256 --0.121239 0.968901 -0.905044 -0.835201 --0.121239 0.968901 0.257556 1.10232 --0.121239 0.968901 0.647488 -0.267115 --1.84318 1.55625 -1.8461 3.33608 --1.84318 1.55625 1.87527 -3.16666 -1.57294 -0.518981 1.10834 1.9962 -1.57294 -0.518981 -0.804869 -1.78312 -1.57294 -0.518981 -0.303474 -0.213077 --1.98131 -0.982342 -2.47768 -2.17821 --1.98131 -0.982342 2.60104 2.01612 -1.04162 0.556297 1.01756 -1.1699 -1.04162 0.556297 -0.86773 0.380023 -1.04162 0.556297 -0.149826 0.789881 --1.97477 -1.71147 -2.01485 -3.77906 --1.97477 -1.71147 2.03584 3.63409 --1.97477 -1.71147 -0.0209873 0.144976 -0.924997 -1.86986 -3.0695 0.374981 -0.924997 -1.86986 2.9312 -0.191629 -1.9435 0.376793 0.90012 -2.72239 -1.9435 0.376793 -0.663177 2.62915 -1.9435 0.376793 -0.236943 0.0932422 --1.44693 0.579478 1.79398 -0.938505 --1.44693 0.579478 -1.5117 1.21717 --1.44693 0.579478 -0.282285 -0.278665 --1.9319 -0.346607 2.76945 0.68507 --1.9319 -0.346607 -2.52618 -0.777638 -0.854232 -1.2432 -1.94065 -0.0388874 -0.854232 -1.2432 1.79854 0.434131 -0.854232 -1.2432 0.142105 -0.395244 -1.74954 0.752929 1.59234 -2.24923 -1.74954 0.752929 -1.4001 2.04754 -1.74954 0.752929 -0.192239 0.201698 -1.96068 0.421273 0.992728 -2.75155 -1.96068 0.421273 -0.765442 2.65122 -0.367068 -0.732511 -1.0643 0.302189 -0.367068 -0.732511 0.859452 0.437779 -0.367068 -0.732511 0.204849 -0.739969 -1.16553 -0.9437 1.62556 1.14754 -1.16553 -0.9437 -1.55828 -0.712893 -1.16553 -0.9437 -0.0672798 -0.434646 -0.251919 -1.58046 -1.89081 1.1131 -0.251919 -1.58046 1.50393 -0.995059 -0.251919 -1.58046 0.386873 -0.118045 -0.187564 1.79426 1.79228 1.39928 -1.03392 -0.952076 1.54737 0.94846 -1.03392 -0.952076 -1.53874 -0.466943 --1.85593 0.557334 2.55385 -1.0789 --1.85593 0.557334 -2.33386 1.22682 --1.85593 0.557334 -0.21999 -0.147918 -0.377957 -0.406003 0.656833 0.567586 -0.377957 -0.406003 -0.831389 0.165679 -0.377957 -0.406003 0.174556 -0.733264 --1.53143 0.0995729 2.07614 -0.165859 --1.53143 0.0995729 -1.63589 0.236045 --1.53143 0.0995729 -0.440247 -0.0701856 --1.74472 -0.938878 -1.99639 -1.99045 --1.74472 -0.938878 2.13616 1.77984 --1.74472 -0.938878 -0.139769 0.210605 --0.809987 -0.916379 -0.440667 -1.54587 --0.809987 -0.916379 0.591512 0.789502 --0.809987 -0.916379 -0.150844 0.756367 --1.38545 1.2485 -1.14616 2.40418 --1.38545 1.2485 1.17955 -2.11719 --1.38545 1.2485 -0.0333877 -0.286986 --0.533179 -0.961749 -0.0912434 -1.42549 --0.533179 -0.961749 -0.462014 0.973232 --0.533179 -0.961749 0.553257 0.452262 --1.64862 0.344471 2.23418 -0.609618 --1.64862 0.344471 -1.9144 0.759397 --1.64862 0.344471 -0.319782 -0.149779 --1.59823 -0.211663 2.17516 0.364864 --1.59823 -0.211663 -1.79953 -0.478838 --1.59823 -0.211663 -0.375632 0.113974 --1.40163 0.651094 1.67865 -1.03352 --1.40163 0.651094 -1.42099 1.3411 --0.736747 1.18862 -0.161116 1.84959 --0.736747 1.18862 -0.123638 -1.39193 --1.15046 -0.938588 -0.915243 -1.74589 --1.15046 -0.938588 1.03309 1.31009 --1.15046 -0.938588 -0.117845 0.4358 -0.997643 0.160712 0.52319 -1.17869 -0.997643 0.160712 0.172709 1.10662 -0.997643 0.160712 -0.695899 0.0720771 -0.190307 0.264623 -0.667873 -0.204043 -0.190307 0.264623 0.527414 -0.452652 -0.190307 0.264623 0.140459 0.656695 -1.92146 1.86969 4.02372 -1.83136 -1.92146 1.86969 -4.02003 1.69237 -1.92146 1.86969 -0.0036887 0.138988 --0.0975874 1.50016 0.423325 -0.0749025 --0.954278 -0.826698 -0.673845 -1.49653 --0.954278 -0.826698 0.86678 0.918926 --0.954278 -0.826698 -0.192935 0.577607 --0.294352 0.958341 0.127962 1.24156 --0.294352 0.958341 -0.731048 -0.915163 --0.294352 0.958341 0.603085 -0.326398 -1.10538 1.04822 1.7414 -0.981661 -1.10538 1.04822 -1.73485 0.563971 -0.793561 1.33746 -2.04879 -0.120447 -0.793561 1.33746 1.86761 -0.238916 -0.793561 1.33746 0.181186 0.359363 -1.03247 1.149 1.8336 -0.788284 -1.03247 1.149 -1.88276 0.388708 --1.70425 1.14492 -1.81957 2.38954 --1.70425 1.14492 1.91011 -2.17118 --1.70425 1.14492 -0.0905431 -0.21836 --0.450421 -1.1876 0.184439 -1.59693 --0.450421 -1.1876 -0.634537 1.26901 --0.450421 -1.1876 0.450098 0.327921 -1.61808 -0.26426 0.662344 2.10752 -1.61808 -0.26426 -0.311803 -2.00014 -1.61808 -0.26426 -0.350541 -0.107384 -0.0677216 0.293875 -0.61671 -0.296389 -0.0677216 0.293875 0.554909 -0.36456 -0.0677216 0.293875 0.0618016 0.660949 -1.76934 -1.46898 3.02591 1.85723 -1.76934 -1.46898 -2.99169 -1.67134 -0.156016 1.95691 -2.28284 -1.72251 -0.156016 1.95691 2.02514 1.6832 -0.156016 1.95691 0.2577 0.0393119 --0.34767 0.828915 -0.00906678 1.1756 --0.34767 0.828915 -0.636723 -0.809985 --0.34767 0.828915 0.64579 -0.365619 --1.71294 -1.62013 -1.52041 -3.37103 --1.71294 -1.62013 1.53081 3.19119 --1.71294 -1.62013 -0.0103957 0.179836 --0.828015 -1.03197 0.246233 0.960922 --0.828015 -1.03197 0.149418 0.746292 --1.37209 1.33658 -1.06268 2.5565 --1.37209 1.33658 1.07218 -2.28229 --1.37209 1.33658 -0.00949809 -0.274214 --1.6083 -0.769063 1.9758 1.36545 --1.6083 -0.769063 -1.78162 -1.60636 --0.0164756 0.981648 -1.00774 -0.776212 --0.0164756 0.981648 0.321347 1.01318 --0.0164756 0.981648 0.686391 -0.236965 -1.29415 -0.124784 0.44974 1.56676 -1.29415 -0.124784 0.0777658 -1.49699 -1.29415 -0.124784 -0.527506 -0.0697742 -1.39543 1.6837 3.11672 -0.911345 -1.39543 1.6837 -3.15548 0.706727 --1.10576 -0.574573 -0.950694 -1.18264 --1.10576 -0.574573 1.28073 0.735003 --1.10576 -0.574573 -0.330036 0.447636 --0.0480132 -0.313335 -0.5743 0.385861 --0.0480132 -0.313335 -0.0202327 -0.68711 --0.0480132 -0.313335 0.594532 0.301249 --0.537885 -1.7594 0.720954 -2.44175 --0.537885 -1.7594 -0.964005 2.28007 -1.47913 0.503349 -0.717088 1.59422 -0.845513 0.461078 0.840811 -0.966373 -0.845513 0.461078 -0.894401 0.137228 -0.845513 0.461078 0.0535893 0.829145 --0.950895 -1.49091 -0.213484 -2.48112 --0.950895 -1.49091 0.0728587 2.18899 --0.950895 -1.49091 0.140626 0.292128 -0.120329 0.222399 -0.600404 -0.219431 -0.120329 0.222399 0.494248 -0.396044 -0.120329 0.222399 0.106156 0.615475 --1.46943 0.502278 -1.55779 1.07505 --1.1343 -0.0405885 1.48937 0.0526786 --1.1343 -0.0405885 -0.787187 -0.484114 --1.1343 -0.0405885 -0.702179 0.431435 -0.136104 -1.1557 -1.29122 0.804248 -0.136104 -1.1557 0.5638 -0.880859 -1.29657 0.771563 1.43322 -1.44801 -1.29657 0.771563 -1.23056 1.03428 -1.29657 0.771563 -0.202653 0.413723 -0.23564 -0.362015 -0.746171 0.229102 -0.23564 -0.362015 0.600545 0.477387 -0.23564 -0.362015 0.145626 -0.706488 --1.06604 1.96075 0.077365 3.41418 --1.06604 1.96075 -0.187228 -3.24586 -1.75894 1.28201 2.63575 -1.97735 -1.75894 1.28201 -2.57188 1.77588 --1.17535 -0.878998 -0.979823 -1.66209 --1.17535 -0.878998 1.13391 1.23544 --1.17535 -0.878998 -0.154087 0.426649 -0.931354 -0.638956 1.0774 0.998627 -0.931354 -0.638956 -1.04305 -0.289125 -0.931354 -0.638956 -0.0343531 -0.709502 --1.43253 0.0601503 1.91826 -0.0950023 --1.43253 0.0601503 -1.38796 0.16029 --1.43253 0.0601503 -0.530305 -0.0652879 --1.59856 -1.0308 -1.66644 -2.11112 --1.59856 -1.0308 1.78171 1.86209 --1.59856 -1.0308 -0.115266 0.249028 -0.383117 -1.20087 -1.55188 0.580228 -0.383117 -1.20087 1.09424 -0.0580925 -0.383117 -1.20087 0.457636 -0.522136 --1.36239 -1.15762 -1.15986 -2.22567 --1.36239 -1.15762 1.21578 1.91688 --1.36239 -1.15762 -0.0559202 0.308792 --0.907191 -1.431 -0.199316 -2.34614 --0.907191 -1.431 0.0419821 2.02824 --0.907191 -1.431 0.157334 0.317903 --0.377809 0.0651046 0.748501 -0.0526535 --0.377809 0.0651046 -0.348334 0.634322 --0.377809 0.0651046 -0.400167 -0.581669 --1.32565 1.62559 -0.746304 3.0559 --1.32565 1.62559 0.700418 -2.83199 -0.160047 -0.820376 -1.02019 0.521116 -0.160047 -0.820376 0.241663 -0.834952 -0.160047 -0.820376 0.778525 0.313835 -1.7171 1.10796 2.26212 -2.00934 -1.7171 1.10796 -2.16417 1.7897 -1.7171 1.10796 -0.097954 0.219647 --0.707271 0.771225 -0.390832 1.3205 --0.707271 0.771225 0.73386 -0.590158 -0.260292 0.635379 -0.936403 -0.340375 -0.260292 0.635379 0.760949 -0.428844 -0.260292 0.635379 0.175453 0.769219 -0.744947 0.446757 0.795817 -0.865823 -0.744947 0.446757 -0.906511 0.0603766 -0.744947 0.446757 0.110694 0.805446 --0.889587 -1.72611 0.124981 -2.80416 --0.889587 -1.72611 -0.28116 2.58931 --0.889587 -1.72611 0.156179 0.214849 -1.27861 0.301864 0.712525 -1.54948 -1.27861 0.301864 -0.184711 1.36662 -0.0410831 1.41289 -1.45065 -1.16851 -0.0410831 1.41289 0.951138 1.18362 -0.0410831 1.41289 0.499512 -0.0151105 -0.861924 -0.487101 0.8745 0.976441 -0.861924 -0.487101 -0.909473 -0.15914 -0.861924 -0.487101 0.0349726 -0.817301 -1.93605 -1.34102 2.88273 2.30327 -1.93605 -1.34102 -2.81965 -2.13415 -1.63241 0.645962 1.35173 -2.06794 -1.63241 0.645962 -1.10863 1.84448 --1.91325 -0.0683633 2.77206 0.133796 --1.91325 -0.0683633 -2.49709 -0.154237 --1.91325 -0.0683633 -0.274968 0.0204403 -0.231534 -0.230857 0.503809 0.487443 -0.231534 -0.230857 -0.673928 0.163298 -0.231534 -0.230857 0.170119 -0.650741 --0.691949 0.461142 -0.477516 0.993537 --0.691949 0.461142 0.924846 -0.389398 --0.691949 0.461142 -0.447331 -0.604138 -0.301744 -1.81848 -2.27629 1.32992 -0.301744 -1.81848 1.99355 -1.23533 -1.48299 -1.94408 -3.77773 -0.650332 -1.48299 -1.94408 3.73365 0.811354 -1.48299 -1.94408 0.0440787 -0.161022 -0.158594 1.65094 -1.87044 -1.31667 -0.158594 1.65094 1.5057 1.25529 -0.158594 1.65094 0.364748 0.0613794 -1.71817 1.74933 3.56769 -1.50351 -1.71817 1.74933 -3.57088 1.33745 -1.71817 1.74933 0.00318945 0.166063 --0.326196 1.71689 -1.26871 -1.9798 --0.326196 1.71689 0.970261 2.09906 --0.326196 1.71689 0.298448 -0.119259 --1.22943 -0.752412 -1.10801 -1.47743 --1.22943 -0.752412 1.33064 1.08015 --1.22943 -0.752412 -0.222638 0.397274 --1.15621 -1.33811 -0.680641 -2.40214 --1.15621 -1.33811 0.635166 2.07958 --1.89537 -1.41381 -2.05877 -3.06582 --1.89537 -1.41381 2.11012 2.8946 --1.89537 -1.41381 -0.0513483 0.171217 -0.30379 1.08342 -1.35987 -0.576144 -0.30379 1.08342 0.933746 -0.112768 -0.30379 1.08342 0.426121 0.688912 -0.688302 -0.0180381 0.394719 0.872091 -0.688302 -0.0180381 0.366247 -0.87138 -0.688302 -0.0180381 -0.760966 -0.000710977 -1.26312 -1.79575 -3.26286 -0.340199 -1.26312 -1.79575 3.19332 0.534845 -1.26312 -1.79575 0.069547 -0.194646 -1.62109 -1.3077 2.58596 1.68508 -1.62109 -1.3077 -2.53852 -1.45957 -1.62109 -1.3077 -0.0474373 -0.225512 -0.263517 -0.159057 0.448838 0.523065 -0.263517 -0.159057 -0.66239 0.107265 -0.263517 -0.159057 0.213552 -0.63033 --1.17731 0.856541 -0.991545 1.62724 --1.17731 0.856541 1.15837 -1.20076 --1.17731 0.856541 -0.166822 -0.426481 --1.45305 0.931462 -1.43454 1.86107 --1.45305 0.931462 1.57725 -1.5626 --1.45305 0.931462 -0.142711 -0.298469 --1.71486 -0.024354 2.39927 0.044147 --1.71486 -0.024354 -2.05113 -0.0549336 --1.71486 -0.024354 -0.348146 0.0107866 -0.49634 -1.593 -2.17261 0.791447 -0.49634 -1.593 1.87305 -0.577423 -0.49634 -1.593 0.299553 -0.214024 --0.41583 -0.887017 -0.0288702 -1.27099 --0.41583 -0.887017 -0.586177 0.879254 --0.41583 -0.887017 0.615048 0.391735 --1.1883 -0.287201 1.52108 0.388787 --1.1883 -0.287201 -1.03402 -0.753654 -1.83878 -0.82045 1.75929 2.39635 -1.83878 -0.82045 -1.59302 -2.21168 --1.3986 1.63747 -0.874514 3.14288 --1.3986 1.63747 0.840874 -2.92888 --1.3986 1.63747 0.0336394 -0.214 --0.057765 1.75192 -1.71015 -1.72073 --0.057765 1.75192 1.38757 1.74808 --1.13557 0.754731 -0.960226 1.4554 --1.13557 0.754731 1.18621 -1.00636 --1.13557 0.754731 -0.225982 -0.449041 -1.20547 0.526104 1.02751 -1.40417 -1.20547 0.526104 -0.481819 0.956783 -1.20547 0.526104 -0.545693 0.447382 --1.91814 1.58723 -1.98583 3.45944 --1.91814 1.58723 2.0163 -3.30098 -1.78713 1.22027 2.53036 -2.07668 -1.78713 1.22027 -2.45324 1.87705 -1.78713 1.22027 -0.0771218 0.199635 -0.543892 -0.926362 -1.3387 0.217626 -0.543892 -0.926362 1.11659 0.410093 --1.42796 0.948207 -1.38207 1.88136 --1.42796 0.948207 1.51779 -1.57423 -1.64817 0.110676 0.382954 -2.15527 -1.64817 0.110676 -0.0283027 2.11172 -1.64817 0.110676 -0.354651 0.043555 -1.40832 0.30974 0.732135 -1.74927 -1.40832 0.30974 -0.289903 1.58226 --0.214216 1.96213 -1.73924 -2.23359 --0.214216 1.96213 1.49042 2.29015 --0.105176 0.00795925 -0.226414 0.414379 --0.105176 0.00795925 0.473143 -0.0120602 --0.105176 0.00795925 -0.246729 -0.402319 -1.97142 0.264817 0.674086 -2.78807 -1.97142 0.264817 -0.43107 2.72325 -1.97142 0.264817 -0.243016 0.0648253 --0.0960124 0.753314 -0.80106 -0.646035 --0.0960124 0.753314 0.113113 0.966003 -1.10979 -1.08215 1.79661 0.961913 -1.10979 -1.08215 -1.79888 -0.558082 -1.10979 -1.08215 0.00226798 -0.403831 -1.94376 1.6451 3.54611 -2.08379 -1.94376 1.6451 -3.52084 1.93171 -1.11028 -0.652562 1.17302 1.22516 -1.11028 -0.652562 -0.966301 -0.585847 -1.11028 -0.652562 -0.206715 -0.639317 --0.0969106 -0.0836697 -0.143199 -0.484555 --0.0969106 -0.0836697 0.489427 0.119846 --0.0969106 -0.0836697 -0.346227 0.364709 --0.755797 0.311629 1.02745 -0.288721 -0.122906 -1.73262 -1.93063 1.46618 -0.122906 -1.73262 1.5986 -1.42537 --1.56666 1.4746 -1.33473 2.96113 --1.56666 1.4746 1.34869 -2.745 --1.56666 1.4746 -0.0139609 -0.21613 -1.04472 0.917394 1.50599 -0.987981 -1.04472 0.917394 -1.48002 0.493926 -1.04472 0.917394 -0.0259679 0.494055 --0.418921 1.13876 0.17164 1.51548 --0.418921 1.13876 -0.656825 -1.18419 --0.710335 -1.89622 0.621708 -2.87566 --0.710335 -1.89622 -0.805686 2.71715 --0.710335 -1.89622 0.183978 0.158516 -1.90376 -1.93893 4.16162 1.72432 -1.90376 -1.93893 -4.16418 -1.58901 --1.56911 1.346 -1.43057 2.70911 --1.56911 1.346 1.46763 -2.47774 --1.07742 -1.27154 -0.599955 -2.2332 --1.07742 -1.27154 0.541554 1.86708 --1.07742 -1.27154 0.0584012 0.366117 --1.62135 0.612144 2.08416 -1.08229 --1.62135 0.612144 -1.84096 1.30139 --1.62135 0.612144 -0.243197 -0.219093 --0.816584 -0.0199843 1.12646 0.0199238 --0.816584 -0.0199843 -0.568167 -0.648624 --0.816584 -0.0199843 -0.558297 0.628701 -1.92962 -1.91564 4.13468 1.8053 -1.92962 -1.91564 -4.13378 -1.67013 -0.903458 0.812177 1.27368 -0.870735 -0.903458 0.812177 -1.29122 0.274518 -0.903458 0.812177 0.0175407 0.596217 --0.311497 -1.26548 0.411412 -1.53435 --0.311497 -1.26548 -0.878148 1.2961 --0.311497 -1.26548 0.466736 0.238252 --0.610015 0.483914 -0.396477 0.994716 --0.610015 0.483914 0.860148 -0.372967 --0.610015 0.483914 -0.463671 -0.62175 --1.33045 0.506806 1.64201 -0.762892 --1.33045 0.506806 -1.30716 1.08298 --1.33045 0.506806 -0.334852 -0.320085 -0.353536 -1.34404 -1.69822 0.739876 -0.353536 -1.34404 1.19912 -0.426054 -0.353536 -1.34404 0.4991 -0.313821 -1.5594 1.30525 2.53411 -1.56783 -1.5594 1.30525 -2.49321 1.32981 -1.5594 1.30525 -0.0408959 0.238021 -0.00835037 -1.78822 -1.84834 1.68879 -0.00835037 -1.78822 1.53568 -1.69121 -0.00835037 -1.78822 0.312652 0.00242429 -0.694905 0.477476 0.809855 -0.807306 -0.694905 0.477476 -0.93279 0.0268045 -0.694905 0.477476 0.122935 0.780502 -1.1201 -1.79981 -3.13524 -0.0579956 -1.1201 -1.79981 3.03806 0.257292 -1.1201 -1.79981 0.0971831 -0.199296 --0.120445 1.01635 -0.935876 -0.879626 --0.120445 1.01635 0.301766 1.12952 --0.120445 1.01635 0.63411 -0.249897 --1.52999 1.44843 -1.28189 2.88233 --1.52999 1.44843 1.29528 -2.65677 -0.815853 1.74848 -2.74328 -0.442611 -0.815853 1.74848 2.57269 0.234907 -0.815853 1.74848 0.170589 0.207704 -0.628549 -1.41664 -2.03946 0.432965 -0.628549 -1.41664 1.77359 -0.109999 -0.628549 -1.41664 0.265863 -0.322965 --1.49209 0.605769 1.85742 -1.00656 --1.49209 0.605769 -1.59264 1.27084 --1.49209 0.605769 -0.264787 -0.264283 --0.152856 1.45529 -1.25166 -1.41806 --0.152856 1.45529 0.819618 1.52878 --0.152856 1.45529 0.432038 -0.110716 --0.295984 0.84634 0.0434487 1.15502 --0.295984 0.84634 -0.687141 -0.809331 --0.295984 0.84634 0.643692 -0.345691 -0.379616 1.83773 -2.40097 -1.23948 -0.379616 1.83773 2.13675 1.12605 -0.379616 1.83773 0.264216 0.113435 --1.64746 -1.31339 -1.6073 -2.69553 --1.64746 -1.31339 1.65868 2.47622 --1.64746 -1.31339 -0.051381 0.219314 -0.934055 -0.0192427 0.37419 1.09506 -0.934055 -0.0192427 0.334964 -1.08797 -0.934055 -0.0192427 -0.709154 -0.00709098 -0.807705 1.00398 1.43551 -0.608837 -0.807705 1.00398 -1.55091 0.0895601 -0.807705 1.00398 0.115396 0.519277 --1.14358 -1.50141 -0.526205 -2.67155 --1.14358 -1.50141 0.450187 2.3978 --1.14358 -1.50141 0.0760175 0.273749 -1.49721 -1.58473 3.02255 1.20762 -1.49721 -1.58473 -3.03493 -0.998339 -1.49721 -1.58473 0.0123833 -0.209283 --1.01454 -1.46227 -0.342827 -2.4924 --1.01454 -1.46227 0.227897 2.19281 --1.01454 -1.46227 0.11493 0.29959 --0.614227 -1.99174 0.904243 -2.90868 --0.614227 -1.99174 -1.09386 2.78023 --0.614227 -1.99174 0.18962 0.128454 --1.88703 -0.830683 2.48934 1.6439 --1.88703 -0.830683 -2.33168 -1.81657 --1.88703 -0.830683 -0.157663 0.172675 --0.099671 1.34808 -1.21836 -1.23049 --0.099671 1.34808 0.719471 1.34483 -0.991297 0.556708 1.00039 -1.10563 -0.991297 0.556708 -0.909863 0.320362 -0.991297 0.556708 -0.0905296 0.785271 --1.80721 -1.92238 -1.45985 -4.1012 --1.80721 -1.92238 1.45107 3.95768 --1.80721 -1.92238 0.00878398 0.143514 -1.83181 1.83468 3.86024 -1.66655 -1.83181 1.83468 -3.86061 1.51791 -1.83181 1.83468 0.000364905 0.14864 -0.445823 -1.23533 -1.6436 0.532174 -0.445823 -1.23533 1.24203 -0.0716105 --0.590061 -1.23119 0.0630771 -1.7781 --0.590061 -1.23119 -0.429506 1.40673 --0.590061 -1.23119 0.366429 0.371363 -0.401842 -0.230059 0.529028 0.621041 -0.401842 -0.230059 -0.754179 0.0913369 -0.401842 -0.230059 0.225151 -0.712378 -0.65559 -0.295903 0.195512 -0.818849 -0.65559 -0.295903 -0.826851 0.000857417 --0.364463 -1.17195 0.258815 -1.49659 --0.364463 -1.17195 -0.747827 1.20237 --0.364463 -1.17195 0.489012 0.294216 -1.01904 -1.06433 1.69671 0.840637 -1.01904 -1.06433 -1.72927 -0.403624 -1.47363 -0.934944 1.79766 1.65859 -1.47363 -0.934944 -1.66065 -1.35522 -1.47363 -0.934944 -0.137017 -0.303375 -1.34877 1.95891 -3.67586 0.35512 -1.34877 1.95891 3.61309 -0.520005 -1.34877 1.95891 0.0627675 0.164885 --1.17116 0.638445 -1.04012 1.28574 --1.17116 0.638445 1.3279 -0.866237 --1.17116 0.638445 -0.287781 -0.419505 -0.263726 -0.291014 0.553581 0.505682 -0.263726 -0.291014 -0.720966 0.179228 -0.263726 -0.291014 0.167385 -0.68491 --1.61612 1.55841 -1.36981 3.16713 --1.61612 1.55841 1.37759 -2.96846 --1.61612 1.55841 -0.00777851 -0.198663 --1.46479 -1.36976 -1.2127 -2.68353 --1.46479 -1.36976 1.23108 2.43458 --1.46479 -1.36976 -0.0183786 0.248947 -0.560108 0.411944 0.709688 -0.707134 -0.560108 0.411944 -0.881428 -0.0594405 -0.560108 0.411944 0.17174 0.766574 --0.737942 -0.274109 1.02097 0.251107 --0.737942 -0.274109 -0.540648 -0.832587 --0.737942 -0.274109 -0.480326 0.58148 -1.38463 0.751557 1.44133 -1.59909 -1.38463 0.751557 -1.21831 1.24255 -1.38463 0.751557 -0.223021 0.356534 --1.54111 1.26661 -1.42736 2.5364 --1.54111 1.26661 1.47802 -2.29009 --1.54111 1.26661 -0.0506622 -0.246309 -0.848581 -1.11776 -1.74031 -0.100536 -0.848581 -1.11776 1.61876 0.555008 -0.848581 -1.11776 0.121554 -0.454472 --0.0363947 -1.71677 -1.69714 1.64546 --0.0363947 -1.71677 1.36023 -1.66718 --0.0363947 -1.71677 0.336906 0.0217234 --1.6925 1.9821 -1.15296 4.12089 --1.6925 1.9821 1.12991 -3.97532 --1.6925 1.9821 0.0230457 -0.145568 --1.19947 -1.04091 -0.944184 -1.93481 --1.19947 -1.04091 1.01594 1.54178 --1.19947 -1.04091 -0.0717533 0.393027 --1.90145 1.85842 -1.72669 4.04552 --1.90145 1.85842 1.73005 -3.904 --1.90145 1.85842 -0.00335512 -0.141516 --0.938501 -0.181833 1.239 0.200883 --0.938501 -0.181833 -0.700041 -0.728168 --0.938501 -0.181833 -0.538962 0.527285 -0.701892 0.59077 0.921476 -0.770083 -0.701892 0.59077 -1.02672 0.033908 -0.701892 0.59077 0.105246 0.736175 -0.90447 -1.31112 -2.08346 -0.0766738 -0.90447 -1.31112 1.95338 0.435568 -0.90447 -1.31112 0.130073 -0.358894 -1.87215 0.861417 1.85518 -2.44559 -1.87215 0.861417 -1.70087 2.26575 --1.57064 -0.630513 1.98317 1.09051 --1.57064 -0.630513 -1.73876 -1.32927 --1.57064 -0.630513 -0.244407 0.238764 --0.997192 0.528136 -0.806392 1.10987 --0.997192 0.528136 1.17546 -0.610438 --1.41205 -0.460642 1.79188 0.726613 --1.41205 -0.460642 -1.45072 -0.998388 -1.65481 -0.732959 1.5189 2.07867 -1.65481 -0.732959 -1.30959 -1.84975 -1.65481 -0.732959 -0.209302 -0.228925 -1.29738 0.934264 1.69403 -1.36102 -1.29738 0.934264 -1.58282 0.982029 -0.573627 1.90485 -2.73896 -1.01755 -0.573627 1.90485 2.52729 0.876179 -0.485635 -0.500927 0.75791 0.619427 -0.485635 -0.500927 -0.924658 0.125948 -0.485635 -0.500927 0.166748 -0.745375 --1.35929 1.64875 -0.789297 3.12969 --1.35929 1.64875 0.74745 -2.91361 -1.5626 1.75281 3.42337 -1.17612 -1.5626 1.75281 -3.44423 0.996402 -1.5626 1.75281 0.0208614 0.179723 --0.306074 -1.57921 -1.15514 1.74562 --0.306074 -1.57921 0.809063 -1.88783 --0.306074 -1.57921 0.34608 0.142211 --1.43778 -1.54822 -1.02542 -3.00436 --1.43778 -1.54822 1.00941 2.77988 --1.43778 -1.54822 0.0160107 0.224475 --1.12322 0.211136 1.4538 -0.271854 --1.12322 0.211136 -0.907952 0.67964 --1.12322 0.211136 -0.545846 -0.407785 --0.970853 -0.3211 1.24009 0.363639 --0.970853 -0.3211 -0.766212 -0.860627 --0.970853 -0.3211 -0.473881 0.496988 --0.0402812 -0.165455 -0.0416884 -0.554289 --0.0402812 -0.165455 -0.456126 0.317383 --0.0402812 -0.165455 0.497814 0.236906 -0.118248 -1.80318 -2.01776 1.56531 -0.118248 -1.80318 1.71157 -1.52956 -0.118248 -1.80318 0.306189 -0.0357478 -1.94396 1.60034 3.44818 -2.12178 -1.94396 1.60034 -3.41812 1.96697 --0.75497 0.654768 -0.490398 1.20969 --0.75497 0.654768 0.860151 -0.563425 --0.75497 0.654768 -0.369753 -0.646266 --0.697641 0.537469 -0.465065 1.06902 --0.697641 0.537469 0.894023 -0.446645 -1.9963 1.73093 3.78189 -2.12613 -1.9963 1.73093 -3.76175 1.98436 -1.9963 1.73093 -0.0201361 0.141771 --1.45754 -1.74014 -0.897413 -3.39626 --1.45754 -1.74014 0.863371 3.20456 --1.45754 -1.74014 0.0340425 0.191702 --0.24295 0.200868 -0.207512 0.662466 --0.24295 0.200868 0.658496 -0.17013 --0.24295 0.200868 -0.450984 -0.492336 -0.27489 0.808624 -1.08112 -0.420492 -0.27489 0.808624 0.840166 -0.351275 -0.27489 0.808624 0.240949 0.771767 --1.2306 -0.0154818 1.61956 0.021544 --1.2306 -0.0154818 -0.837552 -0.334757 --1.2306 -0.0154818 -0.782012 0.313213 --0.292062 -0.721955 -0.0304159 -1.05911 -1.82163 0.73191 -1.38854 2.21647 --0.998392 -0.927185 -0.690819 -1.65753 --0.998392 -0.927185 0.79746 1.11409 --0.998392 -0.927185 -0.106641 0.543438 -0.0043658 -1.32513 -1.31924 1.10499 -0.0043658 -1.32513 0.773405 -1.16852 -0.0043658 -1.32513 0.545837 0.0635324 -1.90571 0.943747 2.03725 -2.47584 -1.90571 0.943747 -1.9026 2.29901 -1.90571 0.943747 -0.134643 0.176834 -0.827191 -1.59891 -2.50078 0.279982 -0.827191 -1.59891 2.32715 -0.0263235 -0.827191 -1.59891 0.173625 -0.253659 --0.227276 0.757827 0.0362711 1.04713 --0.227276 0.757827 -0.70892 -0.712349 --1.49426 0.0311778 2.01861 -0.0509226 --1.49426 0.0311778 -1.53898 0.0770244 --1.49426 0.0311778 -0.479636 -0.0261018 -0.330123 1.40607 -1.75267 -0.828221 -0.330123 1.40607 1.28096 0.590514 -0.330123 1.40607 0.471711 0.237707 --0.516274 -0.51556 -0.304461 -0.993382 --0.516274 -0.51556 0.79695 0.358293 --0.516274 -0.51556 -0.49249 0.635089 -1.65022 -1.88598 3.79005 1.22393 -1.65022 -1.88598 -3.81123 -1.06636 -0.40664 -0.987216 -1.32989 0.401574 -0.40664 -0.987216 1.02227 0.2591 -0.40664 -0.987216 0.307613 -0.660674 --1.39396 -0.753897 -1.38633 -1.52209 --1.39396 -0.753897 1.6003 1.20258 --1.8346 0.320803 -0.271097 -0.101588 --1.52919 1.31085 -1.37607 2.61427 --1.52919 1.31085 1.41558 -2.37053 -0.812484 0.186092 0.548074 -0.980192 -0.812484 0.186092 0.220537 0.938701 -0.812484 0.186092 -0.768611 0.0414915 -1.60844 -1.5688 3.09295 1.4437 -1.60844 -1.5688 -3.08853 -1.24611 -1.60844 -1.5688 -0.00441288 -0.197599 --1.75761 -0.0287767 2.47739 0.0530961 --1.75761 -0.0287767 -2.14739 -0.0647114 --0.0387904 1.67056 -1.63839 -1.58485 --0.0387904 1.67056 1.2834 1.61074 --0.0387904 1.67056 0.354998 -0.0258892 -1.37277 -0.152891 0.483862 1.69002 -1.37277 -0.152891 -0.0021127 -1.6077 --1.18748 1.53248 -0.576088 2.76421 --1.18748 1.53248 0.508743 -2.50409 --1.37095 0.149086 1.81416 -0.227372 --1.37095 0.149086 -1.2821 0.405111 --1.37095 0.149086 -0.532053 -0.17774 --0.639571 0.172948 0.953299 -0.148125 --0.639571 0.172948 -0.47315 0.752969 --0.639571 0.172948 -0.480149 -0.604844 -0.450771 0.934034 -1.29931 -0.323636 -0.450771 0.934034 1.03596 -0.336817 -0.450771 0.934034 0.263341 0.660454 --1.6021 0.365852 2.14573 -0.63428 --1.6021 0.365852 -1.818 0.804749 -1.82821 1.9697 4.15436 -1.52474 -1.82821 1.9697 -4.16472 1.38678 --1.30515 -0.262926 1.6934 0.385665 --1.30515 -0.262926 -1.21403 -0.663532 --1.30515 -0.262926 -0.479365 0.277867 -0.434686 -1.38245 -1.82165 0.672162 -0.434686 -1.38245 1.42134 -0.357398 -0.434686 -1.38245 0.400319 -0.314764 -0.702202 -1.18057 -1.75184 0.152218 -0.702202 -1.18057 1.54385 0.298899 -0.702202 -1.18057 0.207995 -0.451116 --0.166963 1.701 -1.49282 -1.77713 --0.166963 1.701 1.16319 1.84828 -1.18712 0.309769 0.717594 -1.41762 -1.18712 0.309769 -0.120694 1.22541 -1.18712 0.309769 -0.5969 0.192204 -1.8998 1.45723 3.10372 -2.14069 -1.8998 1.45723 -3.05887 1.97207 -0.430434 1.56388 -2.06301 -0.855218 -0.430434 1.56388 1.72739 0.649687 --1.59428 1.60687 -1.28678 3.24788 --1.59428 1.60687 1.28569 -3.05225 --1.59428 1.60687 0.00109139 -0.195632 -1.02156 1.47632 -2.45248 0.158622 -1.02156 1.47632 2.34672 -0.445581 -1.02156 1.47632 0.105752 0.286959 -1.18267 1.79761 -3.19079 0.18048 -1.18267 1.79761 3.10616 -0.37831 -1.18267 1.79761 0.0846268 0.19783 -0.027483 -0.294355 -0.595995 0.324288 -0.027483 -0.294355 0.0332033 -0.662672 -0.027483 -0.294355 0.562791 0.338384 --1.99628 -0.483852 2.8618 0.979963 --1.99628 -0.483852 -2.65195 -1.08975 -1.38973 -1.46415 2.69141 1.11308 -1.38973 -1.46415 -2.7051 -0.869535 --0.983733 1.49885 -0.259365 2.52437 --0.983733 1.49885 0.130766 -2.23642 --0.983733 1.49885 0.128599 -0.287954 -1.33506 -0.591726 -0.81404 -1.21074 --0.156731 0.566312 -0.0146895 0.88764 --0.156731 0.566312 -0.669197 -0.56166 --0.156731 0.566312 0.683886 -0.32598 --0.176507 1.73242 -1.51507 -1.83439 --0.176507 1.73242 1.19741 1.90465 --1.19612 1.12213 -0.893309 2.06717 --1.19612 1.12213 0.928189 -1.69128 --1.19612 1.12213 -0.0348807 -0.375893 --0.090306 0.287693 -0.0584853 0.67701 --0.090306 0.287693 -0.539951 -0.405412 --0.090306 0.287693 0.598436 -0.271599 -0.171531 1.49596 -1.69424 -1.11694 -0.171531 1.49596 1.24283 1.03512 -0.171531 1.49596 0.451405 0.0818213 -1.77857 0.562071 1.23601 -2.36439 -1.77857 0.562071 -0.997378 2.20074 -1.7859 -0.135568 0.418176 2.41705 -1.7859 -0.135568 -0.114008 -2.37308 -1.7859 -0.135568 -0.304167 -0.0439673 --1.71187 -1.92563 0.0175924 0.149793 --0.912698 -0.399759 1.14785 0.42733 --0.912698 -0.399759 -0.708748 -0.953031 --0.912698 -0.399759 -0.439101 0.5257 -1.05489 1.30284 2.09459 -0.679985 -1.05489 1.30284 -2.16719 0.340677 --1.83577 0.736122 2.43457 -1.42527 --1.83577 0.736122 -2.25177 1.60125 --1.83577 0.736122 -0.182794 -0.175984 --0.406394 0.717625 -0.123135 1.1179 --0.406394 0.717625 -0.567614 -0.734169 --0.406394 0.717625 0.690749 -0.383735 --0.538054 1.62181 0.549725 2.24038 --0.538054 1.62181 -0.822055 -2.04296 --0.538054 1.62181 0.27233 -0.197429 --1.62268 0.762545 2.00658 -1.36166 --1.62268 0.762545 -1.81146 1.59753 --1.88031 -1.5367 -1.94068 -3.32124 --1.88031 -1.5367 1.97478 3.1551 --1.88031 -1.5367 -0.0341008 0.166141 --0.684653 0.766348 -0.3608 -0.73726 -1.17277 -1.63977 -2.87804 -0.30418 -1.17277 -1.63977 2.79966 0.535649 -0.600348 -0.495746 0.79388 0.714886 -0.600348 -0.495746 -0.942333 0.0432871 -0.600348 -0.495746 0.148452 -0.758173 -0.157161 -0.558044 -0.831056 0.373313 -0.157161 -0.558044 0.697008 0.404744 -0.157161 -0.558044 0.134048 -0.778057 -0.0763156 1.94684 -2.15636 -1.82123 -0.0763156 1.94684 1.89294 1.80296 -0.0763156 1.94684 0.26342 0.0182624 -1.28536 -1.19326 2.11655 1.15869 -1.28536 -1.19326 -2.09784 -0.837449 -1.28536 -1.19326 -0.0187029 -0.32124 --1.86858 0.213602 2.67089 -0.411926 --1.86858 0.213602 -2.39375 0.478749 --1.86858 0.213602 -0.277143 -0.0668234 -1.28713 1.86384 -3.42172 0.323462 -1.28713 1.86384 3.35316 -0.505314 -1.28713 1.86384 0.0685638 0.181851 --0.984586 -0.785435 -0.73139 -1.45148 --0.984586 -0.785435 0.950959 0.902826 --0.984586 -0.785435 -0.219569 0.548658 --0.446963 -1.86713 1.00122 -2.48433 --0.446963 -1.86713 -1.24077 2.36289 -1.92678 1.59993 -0.0290427 0.156728 -0.357614 -0.925284 -1.23658 0.413689 -0.357614 -0.925284 0.946288 0.296444 -0.357614 -0.925284 0.290293 -0.710133 --0.0595804 1.65936 1.23899 1.62933 -1.86378 -0.760007 1.64901 2.46971 -1.86378 -0.760007 -1.47078 -2.29649 -1.86378 -0.760007 -0.178229 -0.173222 -0.520699 -1.48929 -2.04762 0.653965 -0.520699 -1.48929 1.73314 -0.38565 -0.520699 -1.48929 0.314472 -0.268316 --0.912708 -1.4615 -0.179993 -2.39893 --0.912708 -1.4615 0.0246286 2.09428 --1.675 -0.0870485 2.3249 0.155152 --1.675 -0.0870485 -1.96231 -0.19694 --1.675 -0.0870485 -0.362596 0.0417877 --1.86042 -0.701884 2.50068 1.3686 --1.86042 -0.701884 -2.31279 -1.53542 --1.86042 -0.701884 -0.18789 0.166823 -1.42631 0.442641 0.949278 -1.7628 -1.42631 0.442641 -0.555854 1.52566 -1.42631 0.442641 -0.393424 0.237141 --1.96071 0.548846 2.76722 -1.10083 --1.96071 0.548846 -2.56235 1.22708 --1.96071 0.548846 -0.204866 -0.126253 -0.869357 -0.756514 1.18575 0.863625 -0.869357 -0.756514 -1.21138 -0.226679 -0.869357 -0.756514 0.0256292 -0.636945 -0.246728 -1.03243 -1.26545 0.594701 -0.246728 -1.03243 0.865979 0.167661 -0.246728 -1.03243 0.399473 -0.762363 --0.839084 -1.32983 -0.00606937 1.76302 --1.93147 0.0634366 -0.269804 -0.0183865 --1.16012 1.9291 -0.133386 3.4609 --1.16012 1.9291 0.040202 -3.28648 -1.22344 1.14009 1.97843 -1.09698 -1.22344 1.14009 -1.9613 0.74505 -1.22344 1.14009 -0.0171372 0.351929 --1.40055 1.82368 -0.705628 3.50735 --1.40055 1.82368 0.656615 -3.3241 -0.430112 -0.0476228 0.393909 0.675488 -0.430112 -0.0476228 0.327804 -0.692954 -0.430112 -0.0476228 -0.721713 0.017466 -0.216551 1.22531 -1.4355 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0.844174 -0.396991 -0.315942 0.759408 0.217776 0.755829 -1.39998 -1.14651 2.12248 1.39326 -1.39998 -1.14651 -2.06705 -1.09356 --1.77776 -1.53274 -1.72411 -3.2373 --1.77776 -1.53274 1.75129 3.05773 --1.77776 -1.53274 -0.0271809 0.179572 --0.117409 -0.457799 -0.0297005 -0.804292 --0.117409 -0.457799 -0.633134 0.48922 --0.117409 -0.457799 0.662834 0.315072 -1.69637 -0.352708 0.827823 2.24515 -1.69637 -0.352708 -0.520849 -2.11924 -1.69637 -0.352708 -0.306975 -0.125913 -1.39542 1.86724 -3.53243 0.540958 -1.39542 1.86724 3.48053 -0.717026 -1.39542 1.86724 0.0519 0.176068 -1.60355 -0.544936 1.16157 2.04436 -1.60355 -0.544936 -0.876257 -1.83425 --0.684873 -1.05025 -0.200374 -1.63376 --0.684873 -1.05025 -0.216366 1.08798 --0.684873 -1.05025 0.41674 0.545783 --1.0678 -1.70944 -0.197818 -2.96325 --1.0678 -1.70944 0.0880674 2.74149 --1.0678 -1.70944 0.10975 0.221754 --1.72581 0.175783 2.40766 -0.320482 --1.72581 0.175783 -2.07794 0.393518 --1.72581 0.175783 -0.329716 -0.0730351 -1.06803 0.395501 0.816625 -1.24684 -1.06803 0.395501 -0.100135 1.00588 -1.06803 0.395501 -0.71649 0.240959 -1.83614 0.619789 1.36302 -2.46084 -1.83614 0.619789 -1.14864 2.30008 -1.83614 0.619789 -0.214372 0.160759 -0.598285 1.97526 -2.88435 -1.06119 -0.598285 1.97526 2.68835 0.929598 -0.658541 0.0647227 0.431902 -0.8472 -0.658541 0.0647227 0.332468 0.847479 -0.658541 0.0647227 -0.76437 -0.000278521 -1.22742 0.507439 1.00636 -1.44114 -1.22742 0.507439 -0.483496 1.042 -1.22742 0.507439 -0.522862 0.399144 --0.734695 -0.86569 -0.375511 -1.44298 --0.734695 -0.86569 0.640552 0.655555 --0.734695 -0.86569 -0.265042 0.787425 --1.36964 1.99768 -0.465876 3.82144 --1.36964 1.99768 0.404161 -3.66222 --1.36964 1.99768 0.0617151 -0.159219 -0.690217 -0.627435 0.951449 0.741828 -0.690217 -0.627435 -1.06079 -0.0213862 -0.690217 -0.627435 0.109343 -0.720442 --1.09565 1.28156 -0.622195 2.26288 --1.09565 1.28156 0.568533 -1.90561 --1.09565 1.28156 0.0536622 -0.357269 --1.8946 -1.70667 -1.84065 -3.70352 --1.8946 -1.70667 1.85687 3.5505 --1.8946 -1.70667 -0.0162165 0.153026 -1.39957 -0.351139 0.797819 1.73208 -1.39957 -0.351139 -0.359749 -1.53882 -1.39957 -0.351139 -0.438069 -0.193263 -0.475751 -1.4818 -1.99418 0.70996 -0.475751 -1.4818 1.65326 -0.449313 -0.475751 -1.4818 0.340921 -0.260647 -1.42795 -1.15898 2.16489 1.43393 -1.42795 -1.15898 -2.10818 -1.14416 -1.2962 -1.7571 -3.21634 -0.44166 -1.2962 -1.7571 3.15489 0.641324 -1.2962 -1.7571 0.0614496 -0.199664 --1.59011 0.297084 2.14335 -0.511119 --1.59011 0.297084 -1.78957 0.662302 --1.59011 0.297084 -0.353776 -0.151183 -0.148123 -1.73578 -1.96735 1.43719 -0.148123 -1.73578 1.63804 -1.38666 -0.148123 -1.73578 0.329311 -0.0505356 --1.51869 1.36574 -1.31891 2.71333 --1.51869 1.36574 1.34583 -2.47449 -1.42674 0.188175 0.535993 -1.77892 -1.42674 0.188175 -0.0864026 1.68175 -1.42674 0.188175 -0.449591 0.0971664 --1.99935 -0.890389 2.69209 1.82994 --1.99935 -0.890389 -2.55312 -1.9846 --1.99935 -0.890389 -0.138967 0.154659 -0.877423 0.183666 0.548567 -1.04633 -0.877423 0.183666 0.200982 0.989187 -0.877423 0.183666 -0.749549 0.0571405 --1.84077 -1.34608 -1.98568 -2.8855 --1.84077 -1.34608 2.04446 2.70259 --1.84077 -1.34608 -0.0587851 0.182903 -1.76238 1.46037 3.00253 -1.84975 -1.76238 1.46037 -2.96764 1.66215 --0.762465 1.5458 0.134791 2.38111 --0.762465 1.5458 -0.345569 -2.11857 --0.762465 1.5458 0.210779 -0.262541 --0.506479 0.834289 -0.147572 1.27978 --0.506479 0.834289 -0.494151 -0.835286 --0.506479 0.834289 0.641723 -0.44449 -0.185253 0.159913 -0.610477 -0.139691 -0.185253 0.159913 0.171456 0.594174 --1.69076 -0.0386469 2.35547 0.0693407 --1.69076 -0.0386469 -1.99687 -0.0873996 -1.15582 0.195086 0.0513307 1.26703 --1.41587 -0.275142 1.85967 0.431929 --1.41587 -0.275142 -1.42813 -0.646463 --1.41587 -0.275142 -0.431546 0.214534 --0.416695 1.06067 0.104039 1.43498 --0.416695 1.06067 -0.628887 -1.07877 --0.416695 1.06067 0.524848 -0.356212 --1.12678 -0.734966 -0.95237 -1.42305 --1.12678 -0.734966 1.19039 0.970201 --1.12678 -0.734966 -0.23802 0.452853 -1.84292 1.76005 3.70785 -1.76125 -1.84292 1.76005 -3.70095 1.60755 -0.000202392 1.99932 -2.11858 -2.00369 -0.000202392 1.99932 1.86845 2.00559 --0.768258 1.38585 -0.0324782 2.15032 --0.768258 1.38585 -0.194411 -1.81701 --0.768258 1.38585 0.226889 -0.333308 -0.558417 0.931481 -1.35142 -0.203476 -0.558417 0.931481 1.13399 -0.417216 -0.558417 0.931481 0.217428 0.620692 -0.473248 -1.26728 -1.7058 0.523227 -0.473248 -1.26728 1.32614 -0.0978511 -0.473248 -1.26728 0.379662 -0.425376 --1.08597 -0.759726 -0.884534 -1.44833 --1.08597 -0.759726 1.11074 0.969324 --1.08597 -0.759726 -0.226211 0.47901 --1.66802 1.66409 -1.39089 3.42601 --1.66802 1.66409 1.39164 -3.24556 --1.66802 1.66409 -0.000747468 -0.180445 --0.0971505 -1.58615 -1.46245 1.53657 --0.0971505 -1.58615 1.07827 -1.59657 --0.0971505 -1.58615 0.384184 0.0600048 --1.53988 1.68196 -1.11374 3.35364 --1.53988 1.68196 1.09704 -3.16153 -1.9006 -0.639972 1.4214 2.58287 -1.9006 -0.639972 -1.22152 -2.43293 -1.9006 -0.639972 -0.199882 -0.149942 --1.82129 -1.07735 -2.09391 -2.30939 --1.82129 -1.07735 2.20155 2.11483 --1.82129 -1.07735 -0.107649 0.194565 -1.96521 -1.35129 2.92509 2.35839 -1.96521 -1.35129 -2.86242 -2.19393 --1.70584 -0.0825816 2.38057 0.149162 --1.70584 -0.0825816 -2.03155 -0.186147 --0.816078 1.03542 0.158038 -0.957115 --0.816078 1.03542 0.219516 -0.747024 --0.730537 0.846283 -0.3808 1.41792 --0.730537 0.846283 0.663211 -0.644373 --0.730537 0.846283 -0.282412 -0.77355 -0.0952226 1.84733 -2.04603 -1.65607 -0.0952226 1.84733 1.75368 1.62967 --1.33495 -0.144189 1.7604 0.215089 --1.33495 -0.144189 -1.20126 -0.418868 --1.33495 -0.144189 -0.559137 0.203779 --1.03826 -1.3357 -0.487751 -2.30674 --1.03826 -1.3357 0.398332 1.95915 --1.24597 -0.834427 -1.11016 -1.61599 --1.24597 -0.834427 1.29021 1.22573 --1.2839 -1.70963 -0.590701 -3.17544 --1.2839 -1.70963 0.529201 2.9644 --0.319168 1.36632 0.52098 1.65038 --0.319168 1.36632 -0.943092 -1.443 --0.319168 1.36632 0.422112 -0.207385 -0.890313 1.07204 1.59664 -0.653804 -0.890313 1.07204 -1.68829 0.187227 --1.3141 -1.77442 -0.585699 -3.32733 --1.3141 -1.77442 0.525464 3.13044 -0.575927 -1.95982 -2.8317 1.07954 -0.575927 -1.95982 2.62927 -0.948486 -0.575927 -1.95982 0.202432 -0.131053 --1.75486 0.780708 2.25061 -1.47131 --1.75486 0.780708 -2.07131 1.67104 --0.88559 1.337 -0.248984 2.18329 --0.88559 1.337 0.0834202 -1.81808 --0.88559 1.337 0.165564 -0.365215 -1.41804 -1.7358 3.24233 0.902308 -1.41804 -1.7358 -3.28195 -0.707946 -1.41804 -1.7358 0.0396239 -0.194362 -0.632411 -0.859496 -1.29849 0.0883922 -0.632411 -0.859496 1.13348 0.542793 -0.632411 -0.859496 0.165013 -0.631185 --0.174366 1.20279 -1.00715 -1.1178 --0.174366 1.20279 0.46518 1.31823 --0.174366 1.20279 0.541966 -0.200431 -0.596429 1.71062 -2.45463 -0.763179 -0.596429 1.71062 2.21556 0.568834 --0.839498 -0.695602 -0.574581 -1.28515 --0.839498 -0.695602 0.891121 0.664503 --0.839498 -0.695602 -0.31654 0.620644 -0.806462 0.432488 0.799028 -0.932812 -0.806462 0.432488 -0.884883 0.100641 -0.806462 0.432488 0.0858557 0.832171 --0.114199 -1.99966 -1.94547 2.16066 --0.114199 -1.99966 1.69879 -2.19069 --0.114199 -1.99966 0.246679 0.0300226 --1.97542 -0.516831 2.80838 1.04064 --1.97542 -0.516831 -2.60037 -1.15928 --1.92243 0.44705 2.72365 -0.882765 --1.92243 0.44705 -2.49437 0.997946 --1.92243 0.44705 -0.229287 -0.115181 --0.933019 0.31046 1.20183 -0.339817 --0.933019 0.31046 -0.723717 0.854995 --0.933019 0.31046 -0.478113 -0.515178 -0.572271 1.29692 -1.82354 -0.4155 -0.572271 1.29692 1.52102 0.0195761 -0.572271 1.29692 0.302519 0.395924 -1.31832 0.663333 1.27216 -1.52872 -1.31832 0.663333 -0.98089 1.12618 -1.31832 0.663333 -0.291266 0.402543 -1.05809 -1.73418 -2.95283 -0.00363948 -1.05809 -1.73418 2.84362 0.218725 -1.05809 -1.73418 0.109214 -0.215085 -0.405989 1.35028 -1.75407 -0.679972 -0.405989 1.35028 1.31633 0.345828 -0.405989 1.35028 0.437734 0.334145 -0.507737 -1.65394 -2.27406 0.838374 -0.507737 -1.65394 1.99437 -0.643974 -0.8253 1.36505 -2.11574 -0.0902072 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-0.265284 --1.50655 -0.984722 -1.51142 -1.98199 --1.50655 -0.984722 1.63748 1.70362 --1.50655 -0.984722 -0.126065 0.27837 -1.38439 -1.50557 2.76423 1.06467 -1.38439 -1.50557 -2.78485 -0.827902 -1.38439 -1.50557 0.0206215 -0.236763 --0.21257 1.1375 -0.916729 -1.0682 --0.21257 1.1375 0.3607 1.30843 --0.21257 1.1375 0.556029 -0.240229 --1.8099 -1.32825 -1.93166 -2.82846 --1.8099 -1.32825 1.99174 2.63956 -1.80587 -0.593851 1.30421 2.40891 -1.80587 -0.593851 -1.0785 -2.24564 -1.80587 -0.593851 -0.225705 -0.163274 -0.847547 -0.159941 0.523386 1.01626 -0.847547 -0.159941 0.229903 -0.973214 -0.847547 -0.159941 -0.753289 -0.0430504 --1.785 0.674681 2.36409 -1.27887 --1.785 0.674681 -2.161 1.46015 --1.785 0.674681 -0.203082 -0.181273 -0.618208 -1.91646 -2.81046 0.958074 -0.618208 -1.91646 2.60974 -0.812193 -0.618208 -1.91646 0.200712 -0.145882 --1.04305 -0.31692 1.32547 0.382393 --1.04305 -0.31692 -0.849161 -0.840994 --1.04305 -0.31692 -0.476309 0.458602 --0.339622 1.56619 -1.09103 -1.75894 --0.339622 1.56619 0.748777 1.91568 -0.445045 1.53297 -2.03493 -0.803149 -0.445045 1.53297 1.69488 0.578766 -0.445045 1.53297 0.340049 0.224383 --0.695114 -1.55845 0.249127 -2.32835 --0.695114 -1.55845 -0.482869 2.07959 --0.695114 -1.55845 0.233742 0.248757 -0.829281 0.242964 0.606633 -0.992489 -0.829281 0.242964 0.174898 0.931398 -0.829281 0.242964 -0.781531 0.0610903 -1.4056 0.687603 1.34467 -1.65998 -1.4056 0.687603 -1.08217 1.32067 -1.4056 0.687603 -0.2625 0.33931 --0.512772 -1.83143 0.852652 -2.51843 --0.512772 -1.83143 -1.08702 2.37716 --0.512772 -1.83143 0.234364 0.141271 -1.71095 -1.36981 2.77746 1.81587 -1.71095 -1.36981 -2.73276 -1.61258 --1.30313 0.60364 1.54757 -0.898599 --1.30313 0.60364 -1.25641 1.24627 --1.30313 0.60364 -0.291163 -0.34767 --0.825934 1.89788 0.429786 3.02058 --0.825934 1.89788 -0.589598 -2.85099 --0.825934 1.89788 0.159812 -0.169586 --1.68503 1.19579 -1.75315 2.48173 --1.68503 1.19579 1.83154 -2.26161 --1.68503 1.19579 -0.0783897 -0.220121 --0.481424 -1.14309 0.109377 -1.57726 --0.481424 -1.14309 -0.568856 1.21655 --0.481424 -1.14309 0.459479 0.36071 -1.59646 0.0100655 0.207716 -2.04575 -1.59646 0.0100655 0.171238 2.04151 -1.59646 0.0100655 -0.378953 0.00424495 --1.54886 -0.502077 2.00424 0.85329 --1.54886 -0.502077 -1.71013 -1.07746 --1.54886 -0.502077 -0.294113 0.224165 -0.82345 -1.90592 -3.02507 0.595243 -0.82345 -1.90592 2.8668 -0.42512 -0.82345 -1.90592 0.158273 -0.170123 --1.57858 0.950394 -1.66261 1.94701 --1.57858 0.950394 1.80099 -1.69062 --1.91849 0.153848 2.7758 -0.301827 --1.91849 0.153848 -2.5072 0.346752 --1.91849 0.153848 -0.268607 -0.0449253 -1.36716 -0.218518 -0.107345 -1.56538 -0.95589 1.96346 -3.27412 -0.418533 -0.95589 1.96346 3.1455 0.252965 -0.95589 1.96346 0.128618 0.165568 -1.69727 -1.73583 3.51931 1.47225 -1.69727 -1.73583 -3.52333 -1.30289 -1.69727 -1.73583 0.004025 -0.169362 --0.397915 1.30603 0.363949 1.67373 --0.397915 1.30603 -0.78309 -1.41379 --0.397915 1.30603 0.419141 -0.259935 --0.722172 -0.639468 -0.459788 -1.18197 --0.722172 -0.639468 0.849344 0.529508 --0.722172 -0.639468 -0.389556 0.65246 --1.60064 1.5144 -1.3726 3.06626 --1.60064 1.5144 1.3847 -2.86021 --0.630384 0.722551 -0.330346 1.23308 --0.630384 0.722551 0.742874 -0.506749 --0.630384 0.722551 -0.412528 -0.726328 -1.9885 1.04244 2.28353 -2.59769 -1.9885 1.04244 -2.17044 2.43388 -1.9885 1.04244 -0.113097 0.163808 --1.81636 -1.49082 -1.83645 -3.17655 --1.81636 -1.49082 1.87222 2.99897 --1.81636 -1.49082 -0.0357668 0.17758 -0.647413 1.86668 -2.76178 -0.852398 -0.647413 1.86668 2.56036 0.691579 -0.647413 1.86668 0.201423 0.160819 --1.40817 0.561145 1.73897 -0.888263 --1.40817 0.561145 -1.44264 1.1808 -0.493817 0.750344 -1.13385 -0.195474 -0.493817 0.750344 0.946309 -0.507099 -0.493817 0.750344 0.187542 0.702573 --0.0353434 -1.31343 -1.26269 1.12957 --0.0353434 -1.31343 0.723912 -1.22075 --0.0353434 -1.31343 0.538778 0.091178 -1.06163 -1.46308 -2.45946 -0.240701 -1.06163 -1.46308 2.36724 0.527855 -1.06163 -1.46308 0.0922235 -0.287154 -1.95926 -1.97919 4.30771 1.80985 -1.95926 -1.97919 -4.30908 -1.68099 -1.95926 -1.97919 0.00137154 -0.128855 --1.36307 0.507696 1.69265 -0.779934 --1.36307 0.507696 -1.36395 1.08423 -1.333 -0.0861222 0.385707 1.61954 -1.333 -0.0861222 0.120852 -1.57251 --1.21049 -0.00160867 -0.798475 -0.357313 -0.354786 1.42483 -1.80061 -0.815582 -0.354786 1.42483 1.35931 0.573077 --1.73245 -0.588152 -2.06931 -1.27078 --0.450252 0.282961 -0.323249 0.791674 --0.450252 0.282961 0.80073 -0.212435 --0.450252 0.282961 -0.477482 -0.579238 --1.81271 -1.46244 -1.84876 -3.11367 --1.81271 -1.46244 1.88823 2.93359 --1.17559 0.0376955 1.54391 -0.0504468 --1.17559 0.0376955 -0.81996 0.435654 --1.17559 0.0376955 -0.723948 -0.385207 -0.341651 -1.2232 -1.54363 0.646846 -0.341651 -1.2232 1.01515 -0.126339 -0.341651 -1.2232 0.528479 -0.520506 -1.47014 0.122123 0.423351 -1.84439 -1.47014 0.122123 0.00936822 1.78451 -1.47014 0.122123 -0.432719 0.0598759 -0.26565 -0.773856 -1.04686 0.408466 -0.26565 -0.773856 0.822081 0.368027 -0.26565 -0.773856 0.224775 -0.776493 -0.590553 1.52528 -2.16594 -0.586368 -0.590553 1.52528 1.89295 0.322607 -0.590553 1.52528 0.27299 0.263761 --1.32673 -0.848451 -1.2411 -1.66701 --1.32673 -0.848451 1.4152 1.31561 --1.32673 -0.848451 -0.174098 0.351398 -0.0702849 -1.0231 -1.11484 0.744971 -0.0702849 -1.0231 0.390352 -0.941224 -0.0702849 -1.0231 0.724487 0.196253 -1.8946 -0.778344 1.69728 2.52452 -1.8946 -0.778344 -1.52626 -2.35639 --1.73934 -1.87746 -1.35399 -3.94028 --1.73934 -1.87746 1.34244 3.78787 --1.73934 -1.87746 0.0115519 0.152416 -1.95123 -1.93695 4.20388 1.83328 -1.95123 -1.93695 -4.20299 -1.70107 -0.0966634 1.7921 -1.97409 -1.57921 -0.0966634 1.7921 1.6632 1.55059 -0.0966634 1.7921 0.310892 0.0286254 --1.74003 1.88251 -1.3508 3.95181 --1.74003 1.88251 1.33894 -3.79992 --1.74003 1.88251 0.011863 -0.151892 -1.57068 -0.923298 1.82947 1.83843 -1.57068 -0.923298 -1.68341 -1.57054 -1.57068 -0.923298 -0.146069 -0.26789 --1.75787 -1.77637 -1.48482 -3.73965 --1.75787 -1.77637 1.48332 3.57935 --1.68249 -1.12455 -1.78637 -2.33721 --1.68249 -1.12455 1.88068 2.11305 --1.68249 -1.12455 -0.094318 0.224158 --1.52426 0.934451 -1.56558 1.89489 --1.52426 0.934451 1.70855 -1.62115 --1.52426 0.934451 -0.142976 -0.273745 --1.59408 -0.270403 2.15641 0.46578 --1.59408 -0.270403 -1.79588 -0.605593 --1.59408 -0.270403 -0.360538 0.139814 --1.19396 -0.41399 1.48407 0.564612 --1.19396 -0.41399 -1.07694 -0.943176 --1.74046 1.56935 -1.61791 3.28623 --1.74046 1.56935 1.63714 -3.10497 --1.1467 -1.06709 -0.844149 -1.94875 --1.1467 -1.06709 0.891011 1.53605 --1.1467 -1.06709 -0.0468617 0.412701 -0.0875964 -1.43906 -1.53284 1.14847 -0.0875964 -1.43906 1.04328 -1.12749 -0.0875964 -1.43906 0.48956 -0.0209737 -1.29599 -0.691915 1.30805 1.48246 -1.29599 -0.691915 -1.04199 -1.05888 -1.29599 -0.691915 -0.26606 -0.423575 --0.0838406 0.381759 -0.603801 -0.437406 --0.0838406 0.381759 -0.0298199 0.744103 --0.0838406 0.381759 0.633621 -0.306697 -0.990088 -1.62109 -2.6848 0.0175373 -0.990088 -1.62109 2.56119 0.228281 -0.990088 -1.62109 0.12361 -0.245818 --1.32519 1.43914 -0.900923 2.7098 --1.32519 1.43914 0.880432 -2.44718 --1.32519 1.43914 0.0204917 -0.262618 --1.52065 0.31991 2.01891 -0.532223 --1.52065 0.31991 -1.64783 0.71628 --1.52065 0.31991 -0.371082 -0.184057 --1.51251 0.849083 -1.57458 1.73032 --1.51251 0.849083 1.74678 -1.45316 --1.77622 0.604885 2.37876 -1.13921 --1.77622 0.604885 -2.15711 1.3131 --1.77622 0.604885 -0.221651 -0.173886 --1.06564 1.14864 -0.666214 2.02934 --1.06564 1.14864 0.645682 -1.60604 --1.06564 1.14864 0.0205323 -0.423292 --1.37331 0.633976 1.64189 -0.988498 --1.37331 0.633976 -1.37341 1.3067 --1.37331 0.633976 -0.26848 -0.318202 -1.62941 1.03553 2.07023 -1.88454 -1.62941 1.03553 -1.95739 1.63912 -1.62941 1.03553 -0.112838 0.24542 --0.127836 -1.51791 -1.34806 1.4769 --0.127836 -1.51791 0.938943 -1.5623 --0.127836 -1.51791 0.409114 0.0854047 --0.652576 -0.68729 -0.36851 -1.20623 --0.652576 -0.68729 0.777262 0.507535 --0.652576 -0.68729 -0.408751 0.69869 --0.159162 -1.01391 -0.89633 0.90162 -1.16267 -1.582 -2.75972 -0.333585 -1.16267 -1.582 2.68348 0.579294 -1.16267 -1.582 0.0762455 -0.245708 --1.44307 1.72796 -0.880004 3.35892 --1.44307 1.72796 0.844823 -3.16409 --1.44307 1.72796 0.0351809 -0.194825 -0.328548 1.8756 -2.39361 -1.36269 -0.328548 1.8756 2.1311 1.26901 -0.328548 1.8756 0.262514 0.0936773 --0.370025 -0.567561 -0.164812 -0.979486 --0.370025 -0.567561 -0.561374 0.63874 --0.370025 -0.567561 0.726186 0.340746 -0.563626 0.467058 0.75694 -0.693339 -0.563626 0.467058 -0.917317 -0.0653146 -0.563626 0.467058 0.160376 0.758654 --1.56545 0.0399426 2.1368 -0.0676466 --1.56545 0.0399426 -1.70983 0.0936653 --1.54329 -1.70424 -1.10115 -3.40154 --1.54329 -1.70424 1.08264 3.21277 --1.54329 -1.70424 0.0185161 0.188773 --0.442335 1.24897 0.253942 1.65668 --0.442335 1.24897 -0.679836 -1.35661 --0.442335 1.24897 0.425894 -0.300062 -0.566582 1.59047 -2.23994 -0.685293 -0.566582 1.59047 1.96815 0.454059 -0.566582 1.59047 0.271794 0.231234 --0.798112 1.27758 -0.171756 2.02229 --0.798112 1.27758 -0.0491562 -1.6217 --0.798112 1.27758 0.220912 -0.400595 -1.55556 1.95119 -3.86349 0.798721 -1.55556 1.95119 3.82777 -0.95502 --1.88894 0.910471 -2.30752 1.98683 --1.88894 0.910471 2.44842 -1.80991 --1.88894 0.910471 -0.140895 -0.176923 -1.14293 -1.00553 1.70432 1.07052 -1.14293 -1.00553 -1.66943 -0.649744 -1.14293 -1.00553 -0.0348939 -0.420775 -1.37952 -1.32948 2.43404 1.21283 -1.37952 -1.32948 -2.42624 -0.942273 -0.618913 0.9947 -1.45622 -0.161185 -0.618913 0.9947 1.24815 -0.410685 --1.83025 1.64147 -1.75276 3.50975 --1.83025 1.64147 1.771 -3.34519 --1.83025 1.64147 -0.0182324 -0.164559 --0.554047 1.99061 1.00138 2.82544 --0.554047 1.99061 -1.20099 -2.70553 --0.554047 1.99061 0.199613 -0.119916 --0.6424 -0.457003 -0.432598 -0.978708 --0.6424 -0.457003 0.89124 0.367312 --0.6424 -0.457003 -0.458642 0.611396 -0.50279 -0.630157 0.862897 0.579761 -0.50279 -0.630157 -1.02887 0.147613 -0.50279 -0.630157 0.165976 -0.727375 -0.205195 0.759935 -1.00111 -0.448733 -0.205195 0.759935 0.786292 -0.354798 -0.205195 0.759935 0.21482 0.803531 -0.87898 0.834961 1.28565 -0.825968 -0.87898 0.834961 -1.32277 0.236745 -1.10614 0.149213 0.503181 -1.31 -1.10614 0.149213 0.134395 1.23062 -1.10614 0.149213 -0.637576 0.0793807 --1.19158 0.517822 1.43092 -0.708115 --1.19158 0.517822 -1.08097 1.10228 --1.27143 -1.56649 -0.697672 -2.8986 --1.27143 -1.56649 0.646865 2.65635 --1.27143 -1.56649 0.0508068 0.242247 --1.02056 -1.04448 -0.660943 -1.84187 --1.02056 -1.04448 0.679581 1.34786 --1.02056 -1.04448 -0.0186387 0.494016 -0.476325 0.532911 0.778802 -0.600975 -0.476325 0.532911 -0.945014 -0.141075 -0.476325 0.532911 0.166212 0.74205 -0.409527 0.176128 0.488264 -0.636696 -0.409527 0.176128 0.250512 0.705658 -0.409527 0.176128 -0.738776 -0.0689619 -1.15393 1.95699 -3.47283 -0.0342008 -1.15393 1.95699 3.37966 -0.135281 -1.15393 1.95699 0.0931644 0.169482 --0.893244 -1.68433 0.0737913 -2.73876 --0.893244 -1.68433 -0.230964 2.51206 --1.61988 1.32384 -1.5455 2.69871 --1.61988 1.32384 1.59229 -2.47497 --0.492359 1.10425 0.0634156 1.54477 --0.492359 1.10425 -0.539212 -1.16299 --0.492359 1.10425 0.475797 -0.381782 -1.62513 -1.96756 3.93741 1.08478 -1.62513 -1.96756 -3.9664 -0.934205 -1.59922 1.54342 3.0337 -1.44783 -1.59922 1.54342 -3.02712 1.24596 -1.59922 1.54342 -0.00658209 0.201871 --1.24844 -0.189822 1.62733 0.267743 --1.24844 -0.189822 -1.07455 -0.569268 --1.24844 -0.189822 -0.552781 0.301525 --1.43148 1.86431 -0.727069 3.61842 --1.43148 1.86431 0.680158 -3.44313 --1.43148 1.86431 0.046911 -0.17529 --0.404576 1.86524 -1.30997 -2.31013 --0.404576 1.86524 1.06283 2.42287 --0.404576 1.86524 0.247141 -0.112736 --1.83245 0.0199911 -0.302165 -0.00695198 -1.22438 1.46598 2.53811 -0.808938 -1.22438 1.46598 -2.58688 0.54208 -1.22438 1.46598 0.0487636 0.266858 -1.32401 0.718009 1.36083 -1.51562 -1.32401 0.718009 -1.1155 1.11647 -1.32401 0.718009 -0.245331 0.399155 -1.84545 1.8788 3.97044 -1.65374 -1.84545 1.8788 -3.97312 1.5097 --1.01991 1.51378 -0.305211 2.58223 --1.01991 1.51378 0.188666 -2.30145 --1.00298 -0.894909 -0.712611 -1.61324 --1.00298 -0.894909 0.846585 1.07139 --0.461692 0.14859 -0.446588 -0.589981 --1.24702 -1.58043 -0.640885 -2.90265 --1.24702 -1.58043 0.582988 2.66086 -0.362705 -1.49281 -1.89666 0.873689 -0.362705 -1.49281 1.49956 -0.665349 -0.362705 -1.49281 0.397097 -0.208339 --0.864367 0.817522 -0.558649 1.4464 --0.864367 0.817522 0.782416 -0.796701 --0.864367 0.817522 -0.223767 -0.649696 -0.596398 1.99775 -2.91959 -1.09169 -0.596398 1.99775 2.7265 0.964384 -0.596398 1.99775 0.19309 0.127305 --1.73481 -1.90452 -1.31896 -3.99442 --1.73481 -1.90452 1.30501 3.84421 --1.63695 -1.46638 -1.48164 -2.99648 --1.63695 -1.46638 1.50513 2.79045 --1.63695 -1.46638 -0.0234978 0.206029 -1.03303 1.43067 -2.37983 0.21365 -1.03303 1.43067 2.28221 -0.513877 -1.71521 -1.60446 3.2611 1.63048 -1.71521 -1.60446 -3.24942 -1.44982 --1.56235 0.909536 -1.64746 1.86232 --1.56235 0.909536 1.79858 -1.6009 -0.662137 -1.26946 1.60874 0.137445 --0.851962 0.593891 -0.617988 1.16785 --0.851962 0.593891 0.98233 -0.58479 --0.851962 0.593891 -0.364343 -0.58306 --1.02267 1.99726 0.199625 3.43097 --1.02267 1.99726 -0.316348 -3.27014 -1.71671 1.06077 2.16984 -2.03692 -1.71671 1.06077 -2.0605 1.81555 -1.40949 0.714457 1.3906 -1.65581 -1.40949 0.714457 -1.14545 1.31621 --1.34789 -0.630095 1.60286 0.967129 --1.34789 -0.630095 -1.32966 -1.29655 --1.34789 -0.630095 -0.273206 0.329417 -0.872222 -1.53449 -2.43209 0.147599 -0.872222 -1.53449 2.27372 0.12827 -0.872222 -1.53449 0.158366 -0.275869 --1.89573 -1.15423 -2.21285 -2.50881 --1.89573 -1.15423 2.3062 2.32921 --1.89573 -1.15423 -0.0933517 0.179601 --1.74409 1.83151 -1.40625 3.84577 --1.74409 1.83151 1.39873 -3.68942 --1.74409 1.83151 0.0075133 -0.156354 --0.735941 1.7041 0.349435 2.59656 --0.735941 1.7041 -0.550198 -2.38862 --0.892907 0.719003 -0.63286 1.33182 --0.892907 0.719003 0.917978 -0.735534 --0.892907 0.719003 -0.285117 -0.596284 -0.170638 -0.476436 -0.784869 0.323954 -0.170638 -0.476436 0.660813 0.424624 -0.170638 -0.476436 0.124056 -0.748577 --0.156275 -0.273617 -0.114275 -0.685383 --0.156275 -0.273617 -0.51034 0.446591 --0.156275 -0.273617 0.624615 0.238792 --1.12684 -1.54163 -0.461632 -2.72657 --1.12684 -1.54163 0.376627 2.46277 --1.05346 0.898461 -0.784664 1.64109 --1.05346 0.898461 0.918637 -1.13826 --1.05346 0.898461 -0.133974 -0.502827 --0.363144 -0.825623 -0.0239277 -1.18288 --0.363144 -0.825623 -0.622435 0.811025 --0.363144 -0.825623 0.646363 0.371853 --0.300616 1.67103 -1.25882 -1.88042 --0.300616 1.67103 0.941642 2.0009 --0.300616 1.67103 0.317178 -0.120483 -0.547375 -0.830994 -1.23546 0.172414 -0.547375 -0.830994 1.04386 0.491803 -0.505034 -1.06978 -1.48426 0.342134 -0.505034 -1.06978 1.18876 0.227477 -0.505034 -1.06978 0.295498 -0.569611 --0.111066 0.0561823 -0.180645 0.466209 --0.111066 0.0561823 0.493625 -0.0788462 --0.111066 0.0561823 -0.31298 -0.387363 --1.95709 -0.28101 2.83356 0.559536 --1.95709 -0.28101 -2.58751 -0.633632 --1.95709 -0.28101 -0.246051 0.0740958 --1.98602 -1.69333 -2.05458 -3.74736 --1.98602 -1.69333 2.07797 3.60238 -0.855149 1.06235 1.55184 -0.616049 -0.855149 1.06235 -1.65787 0.136616 -1.97413 -0.144187 0.426071 2.79407 -1.97413 -0.144187 -0.175223 -2.75824 -1.97413 -0.144187 -0.250848 -0.0358257 --1.08239 0.724568 -0.88931 1.39578 --1.08239 0.724568 1.13719 -0.917607 --1.08239 0.724568 -0.247876 -0.47817 -0.704317 -1.98929 -3.03488 0.898105 -0.704317 -1.98929 2.86027 -0.755595 -0.704317 -1.98929 0.174606 -0.14251 --0.992335 -1.59533 -0.181961 -2.69209 --0.992335 -1.59533 0.0533386 2.43704 --0.992335 -1.59533 0.128622 0.255049 -1.40692 0.378605 0.842677 -1.7409 -1.40692 0.378605 -0.416415 1.53336 --0.540082 -1.44052 0.337622 -1.99407 --0.540082 -1.44052 -0.655685 1.73524 --0.540082 -1.44052 0.318063 0.258836 --0.759006 -1.9795 0.645095 -3.077 --0.759006 -1.9795 -0.810713 2.92938 -0.280353 0.957787 -1.21828 -0.509024 -0.280353 0.957787 0.888141 -0.242629 -0.280353 0.957787 0.330138 0.751653 --1.05475 -0.107578 1.38435 0.131198 --1.05475 -0.107578 -0.770908 -0.607656 --1.05475 -0.107578 -0.613437 0.476458 -1.76358 -0.906343 1.89444 2.21037 -1.76358 -0.906343 -1.74547 -2.0016 -1.76358 -0.906343 -0.148975 -0.208768 -1.73421 -0.697761 1.48165 2.23997 -1.73421 -0.697761 -1.27166 -2.04073 -1.73421 -0.697761 -0.209995 -0.199238 --0.769759 -0.850672 -0.425273 -1.44319 --0.769759 -0.850672 0.673239 0.69547 --0.769759 -0.850672 -0.247966 0.747722 -0.466991 -1.10621 -1.5027 0.411163 -0.466991 -1.10621 1.16733 0.151209 -0.466991 -1.10621 0.335363 -0.562372 --0.334111 -1.35615 0.492256 -1.65695 --0.334111 -1.35615 -0.913543 1.4402 --0.334111 -1.35615 0.421288 0.216757 --0.721564 -1.47996 0.127511 -2.24096 --0.721564 -1.47996 -0.363113 1.95774 --0.721564 -1.47996 0.235602 0.28322 -0.552345 -1.0122 -1.44316 0.251707 -0.552345 -1.0122 1.19549 0.332309 -0.552345 -1.0122 0.247663 -0.584016 -0.220508 -1.13263 -1.34321 0.700999 -0.220508 -1.13263 0.520318 -0.762296 -0.220508 -1.13263 0.822889 0.0612969 -0.689844 -1.83642 -2.75896 0.748157 -0.689844 -1.83642 2.56364 -0.574727 -0.689844 -1.83642 0.195317 -0.17343 -1.95334 0.615064 1.38582 -2.69643 -1.95334 0.615064 -1.18893 2.56046 -1.95334 0.615064 -0.196888 0.135976 --1.85628 1.00063 -2.20208 2.16439 --1.85628 1.00063 2.32537 -1.97769 --1.85628 1.00063 -0.123294 -0.186695 --0.892022 0.891576 -0.560473 1.55611 --0.892022 0.891576 0.704815 -0.909166 --0.892022 0.891576 -0.144342 -0.646947 --1.86725 -0.972564 -2.23705 -2.10982 --1.86725 -0.972564 2.36591 1.92607 --1.86725 -0.972564 -0.128854 0.183745 --1.90038 -0.925361 -2.3262 -2.02289 --1.90038 -0.925361 2.46354 1.84763 --0.986794 -1.22486 -0.491387 -2.09319 --0.986794 -1.22486 0.401981 1.679 --0.986794 -1.22486 0.0894066 0.414192 -1.80142 1.46603 3.04543 -1.92625 -1.80142 1.46603 -3.00827 1.74467 -1.74819 1.54811 3.17259 -1.74792 -1.74819 1.54811 -3.15088 1.56599 -0.151015 -1.66848 -1.88348 1.34814 -0.151015 -1.66848 1.52617 -1.29159 --1.06754 -0.900455 -0.804754 -1.65028 --1.06754 -0.900455 0.938337 1.15761 --1.06754 -0.900455 -0.133583 0.492665 --1.94972 1.31858 -2.23696 2.89365 --1.94972 1.31858 2.30444 -2.72649 --0.604828 1.45022 0.261271 2.07711 --0.604828 1.45022 -0.551166 -1.80479 --0.604828 1.45022 0.289895 -0.27232 -1.55106 -0.847602 1.68293 1.84106 -1.55106 -0.847602 -1.50887 -1.56552 -0.449605 1.7279 -2.32009 -1.00583 -0.449605 1.7279 2.04193 0.849114 -0.449605 1.7279 0.278165 0.15672 --0.952128 0.0382148 1.26929 -0.04281 --0.952128 0.0382148 -0.653594 0.611601 --0.952128 0.0382148 -0.615696 -0.568791 -0.950029 -0.464539 0.87481 1.08456 -0.950029 -0.464539 -0.849385 -0.21993 -0.950029 -0.464539 -0.0254247 -0.86463 -0.387849 1.3387 1.26129 0.353026 --0.757884 -0.614847 -0.506247 -1.1667 --0.757884 -0.614847 0.890782 0.537158 --1.40454 1.50162 0.984491 -2.65123 --0.105654 1.10552 -1.01208 -0.959233 --0.105654 1.10552 0.402924 1.1688 --0.105654 1.10552 0.609158 -0.209564 --1.58864 -0.328047 2.1329 0.564484 --1.58864 -0.328047 -1.78856 -0.727103 --1.58864 -0.328047 -0.34434 0.162619 -0.843335 0.0778701 0.442299 -1.01085 -0.843335 0.0778701 0.299129 0.99071 -0.843335 0.0778701 -0.741427 0.0201352 --0.471585 1.93641 1.05863 2.62542 --0.471585 1.93641 -1.28055 -2.51074 --0.471585 1.93641 0.221915 -0.114684 -0.521666 0.21432 0.537991 -0.718743 -0.521666 0.21432 0.244389 0.763443 -0.521666 0.21432 -0.78238 -0.0446996 -1.31035 1.82457 -3.36482 0.40768 -1.31035 1.82457 3.30193 -0.594939 --0.662036 -0.303411 0.950557 0.258663 --0.662036 -0.303411 -0.476808 -0.850555 --0.662036 -0.303411 -0.473749 0.591893 -0.745963 1.07353 -1.6237 -0.030032 -0.745963 1.07353 1.46101 -0.468738 -0.745963 1.07353 0.162694 0.49877 --0.555458 -1.03228 -0.0634291 -1.51746 --0.555458 -1.03228 -0.433256 1.06939 --0.555458 -1.03228 0.496685 0.448071 --0.319193 -0.902536 0.0649632 -1.21573 --0.319193 -0.902536 -0.685179 0.868974 --0.319193 -0.902536 0.620216 0.346755 --0.474663 -1.76613 0.823949 -2.3699 --0.474663 -1.76613 -1.07968 2.22296 -1.33051 1.01248 1.84394 -1.36631 -1.33051 1.01248 -1.75786 1.01817 -1.33051 1.01248 -0.0860759 0.348141 -0.339627 -1.77477 0.289699 -0.113678 --0.935114 1.14186 0.379205 -1.44394 -1.16605 -1.45444 2.45985 0.717178 -1.16605 -1.45444 -2.52172 -0.439774 -1.16605 -1.45444 0.0618698 -0.277404 --1.65857 -0.78902 2.05916 1.43281 --1.65857 -0.78902 -1.87478 -1.65976 --1.65857 -0.78902 -0.184379 0.226945 -1.87883 0.477912 1.09325 -2.57778 -1.87883 0.477912 -0.857964 2.45272 -1.87883 0.477912 -0.235287 0.125054 -1.20714 1.856 -3.32841 0.172052 -1.20714 1.856 3.24638 -0.358172 -1.20714 1.856 0.0820297 0.18612 -1.41854 -1.58322 2.94472 1.05587 -1.41854 -1.58322 -2.96925 -0.836974 --0.422973 -1.52032 0.583118 -1.96224 --0.422973 -1.52032 -0.917081 1.76585 --0.422973 -1.52032 0.333964 0.196387 --1.94461 0.355265 2.79277 -0.70535 --1.94461 0.355265 -2.55357 0.79801 -0.778575 1.90798 -2.97908 -0.676162 -0.778575 1.90798 2.81136 0.510004 -0.778575 1.90798 0.167722 0.166158 -0.562052 -1.3774 -1.92681 0.49515 -0.562052 -1.3774 1.61894 -0.153585 -0.562052 -1.3774 0.307864 -0.341565 -0.37787 1.15061 -1.48969 -0.546774 -0.37787 1.15061 1.05961 -0.0305998 -0.37787 1.15061 0.430073 0.577373 -0.287163 1.43511 -1.74546 -0.910773 -0.287163 1.43511 1.27335 0.72508 -0.287163 1.43511 0.472111 0.185693 --0.278705 1.06428 0.233065 1.31461 --0.278705 1.06428 -0.79746 -1.0229 --0.278705 1.06428 0.564395 -0.291702 --1.46799 0.202198 -1.51523 0.48078 --0.256239 -0.548468 -0.0886187 -0.917282 --0.256239 -0.548468 -0.610961 0.59514 --0.256239 -0.548468 0.699579 0.322143 -1.54292 -0.366166 0.837038 1.96919 -1.54292 -0.366166 -0.475553 -1.80492 -1.54292 -0.366166 -0.361484 -0.164272 -0.195772 -1.90689 -2.26555 1.59702 -0.195772 -1.90689 1.9968 -1.54355 -1.50603 0.259858 0.653054 -1.91218 -1.50603 0.259858 -0.25298 1.78899 -1.50603 0.259858 -0.400074 0.123196 --0.60856 0.435121 -0.407822 0.951177 --0.60856 0.435121 0.875946 -0.341063 --0.60856 0.435121 -0.468124 -0.610114 -0.116033 -1.61205 -1.76909 1.32197 -0.116033 -1.61205 1.38298 -1.279 -0.116033 -1.61205 0.386115 -0.0429715 -0.413285 0.0634543 0.402481 -0.660137 -0.413285 0.0634543 0.314403 0.685237 -0.413285 0.0634543 -0.716884 -0.0250994 --1.97691 -1.24807 -2.33753 -2.75561 --1.97691 -1.24807 2.41637 2.59088 --1.97691 -1.24807 -0.0788401 0.164726 --1.52651 1.91206 -0.872541 3.80934 --1.52651 1.91206 0.835475 -3.64612 --1.52651 1.91206 0.0370666 -0.163215 -1.6642 1.64763 3.30448 -1.48586 -1.6642 1.64763 -3.303 1.30385 -1.6642 1.64763 -0.00148006 0.182012 --0.735571 1.59446 0.227477 2.42634 --0.735571 1.59446 -0.441955 -2.18442 --0.735571 1.59446 0.214479 -0.241921 --1.42667 -1.13037 -1.2918 -2.21256 --1.42667 -1.13037 1.36516 1.92007 --1.42667 -1.13037 -0.0733688 0.292496 --0.541173 1.84579 0.827792 2.57797 --0.541173 1.84579 -1.05379 -2.43427 --0.541173 1.84579 0.225999 -0.143698 -1.40407 -0.626859 1.24435 1.67933 -1.40407 -0.626859 -0.941709 -1.35062 -1.40407 -0.626859 -0.302638 -0.328709 -0.912064 1.60021 -2.57912 -0.136524 -0.912064 1.60021 2.43292 -0.117153 -1.80868 -1.24549 2.59602 2.10353 -1.80868 -1.24549 -2.52262 -1.90918 --1.44214 -1.48767 -1.08212 -2.89165 --1.44214 -1.48767 1.07576 2.65768 -1.73351 1.64609 3.36435 -1.63151 -1.73351 1.64609 -3.35564 1.45697 -1.73351 1.64609 -0.00871569 0.174547 -0.338927 0.56279 -0.919036 -0.250631 -0.338927 0.56279 0.749667 -0.497123 --1.61891 -0.950675 -1.74068 -1.96386 --1.61891 -0.950675 1.87906 1.71943 --1.61891 -0.950675 -0.138376 0.244428 --0.269024 1.79152 -1.44307 -2.03218 --0.269024 1.79152 1.15628 2.12261 --1.25974 -1.87966 -0.375408 -3.47388 --1.25974 -1.87966 0.300632 3.29286 --1.25974 -1.87966 0.0747763 0.181014 --1.54839 1.89312 -0.936276 3.79181 --1.54839 1.89312 0.90308 -3.62762 --0.356565 -1.07871 0.1775 -1.39922 --0.356565 -1.07871 -0.711891 1.07771 --0.356565 -1.07871 0.534391 0.321501 --0.0713426 -1.84646 -1.80902 1.87374 --0.0713426 -1.84646 1.51851 -1.89998 --0.0713426 -1.84646 0.290514 0.0262418 --1.60833 -0.99185 -1.70284 -2.03972 --1.60833 -0.99185 1.82933 1.79254 --0.640493 1.37705 0.137413 2.01459 --0.640493 1.37705 -0.429881 -1.70125 --0.640493 1.37705 0.292468 -0.313336 -0.499238 -1.31705 -1.79186 0.530142 -0.499238 -1.31705 1.43423 -0.148878 -0.499238 -1.31705 0.357622 -0.381264 --1.75214 -1.09967 -1.94007 -2.32195 --1.75214 -1.09967 2.04213 2.11286 --1.12235 -1.88384 -0.112552 -3.3352 --1.12235 -1.88384 0.0126947 3.15222 --1.12235 -1.88384 0.0998576 0.182983 --1.63042 -0.171593 2.23741 0.300057 --1.63042 -0.171593 -1.86688 -0.388166 --1.63042 -0.171593 -0.370529 0.0881086 -1.06247 -1.96681 3.28642 -0.0539564 --1.90294 -1.36265 -2.10826 -2.96027 --1.90294 -1.36265 2.16742 2.78775 --1.4175 -0.721495 -1.43598 -1.46993 --1.4175 -0.721495 1.66209 1.16253 --1.4175 -0.721495 -0.22611 0.307407 --1.45651 0.603438 1.79771 -0.983967 --1.45651 0.603438 -1.52684 1.26222 -1.54855 1.25802 2.43599 -1.58309 -1.54855 1.25802 -2.38651 1.33696 --1.06891 1.91256 0.0174397 3.32891 --1.06891 1.91256 -0.127446 -3.1516 -0.858576 0.979138 1.44833 -0.693046 -0.858576 0.979138 -1.53241 0.173912 -0.858576 0.979138 0.0840816 0.519134 --0.247649 1.86671 -1.56649 -2.12463 --0.247649 1.86671 1.29729 2.19933 --1.89405 -0.89635 2.46721 1.78353 --1.89405 -0.89635 -2.32365 -1.95871 --1.21136 -1.92598 -0.233754 -3.51089 --1.21136 -1.92598 0.149512 3.33658 --1.21136 -1.92598 0.0842422 0.174316 -0.369642 -0.491948 -0.882107 0.201903 -0.369642 -0.491948 0.714235 0.539182 -0.369642 -0.491948 0.167872 -0.741084 -0.514568 -1.1672 -1.61006 0.395239 -0.514568 -1.1672 1.28621 0.105345 -0.514568 -1.1672 0.32385 -0.500583 --1.81227 0.744569 2.38338 -1.43025 --1.81227 0.744569 -2.20026 1.61254 -0.0640244 0.379374 -0.670665 -0.342767 -0.0640244 0.379374 0.0640654 0.714919 -0.0640244 0.379374 0.6066 -0.372152 --0.928064 -0.507971 -0.722141 -1.07865 --0.928064 -0.507971 1.11107 0.548037 --0.928064 -0.507971 -0.388931 0.530615 -1.47592 -1.91079 -3.7004 -0.667607 -1.47592 -1.91079 3.65719 0.833252 --1.56505 1.77506 -1.08194 3.56494 --1.56505 1.77506 1.05967 -3.38736 --1.56505 1.77506 0.0222703 -0.17758 -1.6867 1.10254 2.23283 -1.95354 -1.6867 1.10254 -2.13492 1.72635 -1.43511 -0.55757 -0.805293 -1.46431 --1.47128 1.0434 -1.41883 2.07521 --1.47128 1.0434 1.52396 -1.78852 -1.68736 -1.29032 2.60101 1.8282 -1.68736 -1.29032 -2.544 -1.61388 -1.90535 -1.76139 3.76815 1.89677 -1.90535 -1.76139 -3.75667 -1.74878 -1.90535 -1.76139 -0.0114747 -0.14799 -1.81731 0.583415 1.28693 -2.43385 -1.81731 0.583415 -1.06091 2.27517 -0.146966 -0.0510304 0.319867 0.43517 -0.146966 -0.0510304 0.213162 -0.493145 -0.146966 -0.0510304 -0.533029 0.0579756 -1.63894 -1.82216 3.64371 1.26508 -1.63894 -1.82216 -3.66138 -1.09982 -1.63894 -1.82216 0.0176718 -0.165262 -1.17412 -1.37332 2.32703 0.810603 -1.17412 -1.37332 -2.37498 -0.512655 --1.49761 -0.157888 -1.56931 -0.37576 --1.9159 0.486234 2.69829 -0.959017 --1.9159 0.486234 -2.4747 1.08273 --0.574333 1.66669 0.551444 2.34923 --0.574333 1.66669 -0.803807 -2.15673 -1.833 -0.585056 1.29417 2.46403 -1.833 -0.585056 -1.0714 -2.3086 --1.84205 0.0412719 2.63551 -0.0787035 --1.84205 0.0412719 -2.33707 0.0927795 -1.89014 1.06579 2.27881 -2.38069 -1.89014 1.06579 -2.16882 2.19801 -1.89014 1.06579 -0.109991 0.182675 -0.884418 0.864916 1.326 -0.81221 -0.884418 0.864916 -1.36758 0.240825 -0.884418 0.864916 0.0415882 0.571385 -0.431036 0.632523 0.830903 -0.527591 -0.431036 0.632523 0.176518 0.735168 --0.370123 -0.151154 0.745341 0.119786 --0.370123 -0.151154 -0.311968 -0.679763 --0.370123 -0.151154 -0.433373 0.559977 -0.415966 -1.2164 -1.59665 0.553609 -0.415966 -1.2164 1.16906 -0.0644113 -0.415966 -1.2164 0.427591 -0.489198 --1.78883 -0.35349 2.48992 0.663299 --1.78883 -0.35349 -2.21279 -0.782102 --1.78883 -0.35349 -0.277127 0.118802 -1.80044 1.03793 2.17266 -2.21481 -1.80044 1.03793 -2.05663 2.01304 -1.80044 1.03793 -0.116025 0.201775 --1.58068 -0.198017 -1.75978 -0.450873 --0.562856 1.00059 -0.0951028 1.48827 --0.562856 1.00059 -0.422148 -1.02421 --0.562856 1.00059 0.517251 -0.464063 -0.566647 -1.67062 -2.36134 0.76711 -0.566647 -1.67062 2.10532 -0.565391 -0.566647 -1.67062 0.256021 -0.201719 --0.181851 1.23161 -1.01994 -1.15791 --0.181851 1.23161 0.493456 1.35124 --0.4697 1.18324 0.159179 1.61046 --0.4697 1.18324 -0.603632 -1.27173 --0.4697 1.18324 0.444453 -0.338734 --0.106197 0.218752 -0.0909321 0.62427 --0.106197 0.218752 -0.482747 -0.395639 --0.106197 0.218752 0.573679 -0.228631 -0.21896 0.826134 -1.06224 -0.477677 -0.21896 0.826134 0.81215 -0.323563 -0.21896 0.826134 0.250092 0.80124 -1.5216 -0.660761 1.34142 1.86609 -1.5216 -0.660761 -1.08335 -1.59486 -1.5216 -0.660761 -0.258066 -0.271228 --1.34248 -0.584588 1.62042 0.891167 --1.34248 -0.584588 -1.32515 -1.21739 --1.34248 -0.584588 -0.29527 0.326226 -1.8721 -1.06776 2.27278 2.34268 -1.8721 -1.06776 -2.16313 -2.15636 -1.8721 -1.06776 -0.109643 -0.186314 --1.69497 -1.79095 -1.33796 -3.71519 --1.69497 -1.79095 1.32907 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0.121357 -0.944701 1.34466 2.04856 -0.461899 -0.944701 1.34466 0.118447 0.340542 -1.57225 1.79479 3.51938 -1.15377 -1.57225 1.79479 -3.54258 0.980044 -0.896005 0.47725 0.873966 -1.01788 -0.896005 0.47725 -0.887757 0.183225 -0.896005 0.47725 0.0137911 0.834657 --0.947039 -0.14786 1.25384 0.164695 --0.8546 -0.201779 1.14674 0.206749 --0.8546 -0.201779 -0.632497 -0.76514 --0.8546 -0.201779 -0.514244 0.558391 --1.47522 -1.20263 -1.34066 -2.37443 --1.47522 -1.20263 1.3993 2.10454 --1.47522 -1.20263 -0.0586382 0.269894 --1.13123 1.81432 -0.203251 3.21695 --1.13123 1.81432 0.105935 -3.02022 --1.13123 1.81432 0.0973158 -0.196735 -1.77995 1.12942 2.34318 -2.12041 -1.77995 1.12942 -2.24781 1.91567 -0.40544 -0.722861 -1.0732 0.264767 -0.40544 -0.722861 0.875435 0.465229 -0.811519 -1.10381 -1.70053 -0.0509019 -0.811519 -1.10381 1.56407 0.520028 --1.39587 1.95352 -0.565123 3.76073 --1.39587 1.95352 0.508673 -3.59632 --1.39587 1.95352 0.0564501 -0.164402 --1.92585 -0.590868 2.68063 1.17309 --1.92585 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-1.51293 -1.76418 -3.20429 --1.78982 -1.51293 1.79497 3.02475 -0.549831 0.602814 0.863466 -0.629275 -0.549831 0.602814 -1.01803 -0.101 -0.549831 0.602814 0.154562 0.730275 --1.68269 1.52177 -1.534 3.1434 --1.68269 1.52177 1.55406 -2.9499 --1.68269 1.52177 -0.020061 -0.193502 --1.11088 1.53163 -0.442994 2.69494 --1.11088 1.53163 0.354234 -2.42676 --1.11088 1.53163 0.0887608 -0.268176 --1.98648 1.89303 -1.8875 4.19903 --1.98648 1.89303 1.89399 -4.06631 --1.98648 1.89303 -0.00648991 -0.132715 --1.97735 0.332105 2.86385 -0.666324 --1.97735 0.332105 -2.62866 0.74951 --1.97735 0.332105 -0.235194 -0.0831858 -0.270094 -0.47922 -0.833238 0.261649 -0.270094 -0.47922 0.680285 0.47951 -0.270094 -0.47922 0.152953 -0.74116 --1.07111 -0.581872 -0.9007 -1.1894 --1.07111 -0.581872 1.23117 0.721979 -0.882855 -1.64886 -2.63679 0.231099 -0.882855 -1.64886 2.48173 0.00769947 -0.882855 -1.64886 0.155061 -0.238798 -1.73442 -1.18243 2.41976 1.99613 -1.73442 -1.18243 -2.33765 -1.7839 -1.73442 -1.18243 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-0.617957 -0.349665 -0.54048 --0.954602 -0.114705 1.26646 0.128672 --0.954602 -0.114705 -0.689477 -0.665568 --0.954602 -0.114705 -0.576988 0.536896 -1.28433 1.16258 2.06354 -1.18109 -1.28433 1.16258 -2.03685 0.85217 -1.89088 0.10683 0.354287 -2.62243 -1.89088 0.10683 -0.0799856 2.5925 --0.910324 0.273301 1.18831 -0.293476 --0.910324 0.273301 -0.694989 0.820712 --1.91337 -1.14058 -2.25761 -2.48867 --1.91337 -1.14058 2.35355 2.31212 --1.53904 -1.5633 -1.21122 -3.11579 --1.53904 -1.5633 1.20854 2.90738 --1.28549 -1.60939 -0.685817 -2.98997 --1.28549 -1.60939 0.633396 2.7586 --1.27171 -1.97756 -0.294073 -3.67585 --1.27171 -1.97756 0.218605 3.51107 --1.27171 -1.97756 0.0754687 0.164783 -0.872557 1.92603 -3.11469 -0.529788 -0.872557 1.92603 2.96797 0.360736 -0.872557 1.92603 0.146724 0.169052 -0.805207 1.43549 -2.21352 -0.176521 -0.805207 1.43549 2.03188 -0.138855 -0.805207 1.43549 0.181638 0.315377 --0.66725 -0.863754 -0.298711 -1.40391 --0.66725 -0.863754 -0.330729 0.826699 --0.66725 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1.34508 -1.95401 2.87375 --1.82552 1.34508 2.01215 -2.68834 --1.82552 1.34508 -0.0581447 -0.185412 -1.00014 -1.64271 -2.73252 0.0186537 -1.00014 -1.64271 2.61104 0.220897 -1.45 -1.27047 2.38368 1.38972 -1.45 -1.27047 -2.35095 -1.12358 --0.140749 0.174168 -0.137879 0.597721 --0.140749 0.174168 0.576215 -0.182008 --0.140749 0.174168 -0.438336 -0.415712 --0.218536 -1.11506 -0.895465 1.04624 --0.218536 -1.11506 0.332282 -1.29674 --0.218536 -1.11506 0.563183 0.250499 --0.673182 1.93105 0.727255 2.88592 --0.673182 1.93105 -0.914333 -2.73883 --0.673182 1.93105 0.187078 -0.147088 --1.48322 -1.79171 -0.900717 -3.52295 --1.48322 -1.79171 0.866171 3.34086 --1.48322 -1.79171 0.0345456 0.18209 -1.03678 1.17816 1.88175 -0.768794 -1.03678 1.17816 -1.93609 0.381331 -1.03678 1.17816 0.0543363 0.387463 --1.96166 0.830128 2.64461 -1.68242 --1.96166 0.830128 -2.49214 1.84014 --1.96166 0.830128 -0.152475 -0.157714 --1.96544 -1.8475 -1.87989 -4.07728 --1.96544 -1.8475 1.8885 3.94005 --1.96544 -1.8475 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-2.44229 --0.474063 -1.81516 -1.13514 2.30557 --1.22118 -1.26992 -0.84079 -2.33297 --1.22118 -1.26992 0.832044 2.00594 --1.22118 -1.26992 0.00874603 0.32703 -0.42395 1.96062 -2.64452 -1.32499 -0.42395 1.96062 2.41636 1.22165 -0.42395 1.96062 0.228154 0.103334 --0.222582 -0.167813 -0.206819 -0.629361 -0.485347 1.65323 -2.24913 -0.870737 -0.485347 1.65323 1.96164 0.681829 -0.485347 1.65323 0.287487 0.188908 -0.971652 1.90614 -3.18497 -0.327797 -0.971652 1.90614 3.05758 0.150546 -0.971652 1.90614 0.127392 0.177251 --0.00558867 1.228 -1.21743 -1.00733 --0.00558867 1.228 0.618634 1.11681 --0.00558867 1.228 0.598794 -0.109479 --1.36889 -1.51083 -0.924968 -2.8773 --1.36889 -1.51083 0.901885 2.63631 --1.8854 1.64901 -1.86663 3.56966 --1.8854 1.64901 1.88811 -3.41164 --1.8854 1.64901 -0.0214795 -0.158015 --0.162543 -0.0743018 0.558938 0.0833044 --0.162543 -0.0743018 -0.21265 -0.523281 --0.162543 -0.0743018 -0.346288 0.439977 -1.61591 0.261876 0.658036 -2.10366 -1.61591 0.261876 -0.306267 1.99689 -1.61591 0.261876 -0.351769 0.106769 --0.767627 0.863675 -0.416048 1.45785 --0.767627 0.863675 0.654832 -0.698392 --0.767627 0.863675 -0.238784 -0.759461 --0.915843 0.606026 -0.692208 1.1964 --0.915843 0.606026 1.03543 -0.641819 --0.915843 0.606026 -0.343223 -0.554582 -0.826357 -0.484076 0.859809 0.938503 -1.5429 -0.444116 0.971766 1.95856 -1.5429 -0.444116 -0.632295 -1.76201 -0.393356 0.216502 0.51693 -0.616854 --1.39673 -1.40491 -1.05912 -2.70075 --1.39673 -1.40491 1.05915 2.44441 --1.39673 -1.40491 -3.10729e-005 0.25634 --0.175284 1.39356 -1.16385 -1.35739 --0.175284 1.39356 0.709453 1.49485 --0.175284 1.39356 0.454396 -0.137465 -0.935653 -1.45362 -2.34618 -0.0260582 -0.935653 -1.45362 2.21375 0.327487 -0.935653 -1.45362 0.132425 -0.301429 -1.31805 0.625159 1.21221 -1.54225 -1.31805 0.625159 -0.885482 1.14617 -1.31805 0.625159 -0.326729 0.396077 --0.453391 0.839277 -0.0943521 1.25199 --0.453391 0.839277 -0.543669 -0.838229 --0.453391 0.839277 0.638021 -0.413765 -1.30715 1.85468 -3.42253 0.37261 -1.30715 1.85468 3.35764 -0.555079 --0.0219447 -1.22068 -1.19338 1.014 --0.0219447 -1.22068 0.598252 -1.13554 --0.0565835 0.893073 -0.913522 -0.728701 --0.0565835 0.893073 0.227995 1.0087 --0.0565835 0.893073 0.685527 -0.279995 --1.13571 -1.98121 -0.029259 -3.53174 --1.13571 -1.98121 -0.0682351 3.36629 --1.5429 1.19716 -1.47252 2.4036 --1.5429 1.19716 1.53991 -2.15049 --1.5429 1.19716 -0.0673818 -0.253116 --0.413859 0.302107 -0.291774 0.794481 --1.95249 -0.770572 2.6557 1.55345 --1.95249 -0.770572 -2.49112 -1.70815 --1.95249 -0.770572 -0.164582 0.154696 -0.50293 -0.941872 -1.33567 0.271264 -0.50293 -0.941872 1.09038 0.364468 -0.50293 -0.941872 0.245288 -0.635732 --1.15637 -0.289543 1.47748 0.382714 --1.15637 -0.289543 -0.988683 -0.769612 --1.15637 -0.289543 -0.488792 0.386898 --0.364269 -1.42879 0.544617 -1.77675 --0.364269 -1.42879 -0.928027 1.57202 -0.719444 -1.44203 -2.15401 0.317209 -0.719444 -1.44203 1.93453 -0.00381473 -0.719444 -1.44203 0.219486 -0.313395 --1.22849 1.6731 -0.522275 3.0552 --1.22849 1.6731 0.451987 -2.83257 --1.22849 1.6731 0.0702881 -0.222636 --0.530728 -1.13857 0.0506409 -1.61578 --0.530728 -1.13857 -0.491666 1.22723 --0.530728 -1.13857 0.441026 0.388548 -0.9108 0.217172 0.585757 -1.08056 -0.9108 0.217172 0.160421 1.00266 -0.9108 0.217172 -0.746177 0.0779024 --1.57869 -1.96783 -0.9253 -3.97725 --1.57869 -1.96783 0.891183 3.82363 --0.133536 0.842097 -0.821188 -0.732896 --0.133536 0.842097 0.14996 1.03916 --0.133536 0.842097 0.671228 -0.306265 -1.73882 0.172682 0.491848 -2.32887 -1.73882 0.172682 -0.174858 2.2692 --1.05929 -0.274627 1.35796 0.335973 --1.05929 -0.274627 -0.856711 -0.785246 --1.05929 -0.274627 -0.50125 0.449274 -0.40696 0.256345 0.550424 -0.620223 -0.40696 0.256345 -0.766359 -0.0986847 -0.40696 0.256345 0.215936 0.718908 -0.630317 0.474201 0.785202 -0.748724 -0.630317 0.474201 -0.929469 -0.0198535 -0.630317 0.474201 0.144266 0.768578 --0.384377 -0.214589 -0.299205 -0.725036 --0.384377 -0.214589 0.757714 0.165047 --0.384377 -0.214589 -0.45851 0.559989 -1.74211 -1.4431 2.9508 1.82186 -1.74211 -1.4431 -2.91508 -1.62983 --1.434 -0.995304 -1.37272 -1.96949 --1.434 -0.995304 1.49165 1.66698 --1.434 -0.995304 -0.118933 0.302509 -1.0405 0.286118 0.67469 -1.22686 -1.0405 0.286118 0.0249554 1.07681 -1.0405 0.286118 -0.699645 0.150053 --1.70503 -1.04407 -1.87102 -2.18647 --1.70503 -1.04407 1.98516 1.96552 -1.4212 1.78152 3.33648 -0.860849 -1.4212 1.78152 -3.37913 0.6737 -1.4212 1.78152 0.0426506 0.187149 --0.582076 -0.351501 -0.404759 -0.875458 --0.582076 -0.351501 0.880027 0.277119 --0.582076 -0.351501 -0.475268 0.598339 --1.215 -1.02403 1.06116 1.5262 -1.26398 0.83494 1.51637 -1.36459 -1.26398 0.83494 -1.36196 0.943911 -1.26398 0.83494 -0.154411 0.420684 --1.42114 1.35372 -1.14158 2.62264 --1.42114 1.35372 1.1562 -2.36213 --1.42114 1.35372 -0.0146162 -0.260504 --0.792681 -0.0981399 1.09903 0.0956963 -1.82372 1.69679 3.55337 -1.77752 -1.82372 1.69679 -3.54201 1.6169 -1.95849 1.9027 4.13345 -1.88295 -1.95849 1.9027 -4.12967 1.74895 -1.58915 -1.39777 2.7367 1.55197 -1.58915 -1.39777 -2.70935 -1.3308 -1.58915 -1.39777 -0.027355 -0.221171 --1.05979 1.83325 -0.0535233 3.175 --1.05979 1.83325 -0.0589469 -2.98175 --1.05979 1.83325 0.11247 -0.193253 --1.42356 -1.63152 -0.927861 -3.15316 --1.42356 -1.63152 0.899128 2.94088 --1.42356 -1.63152 0.0287329 0.21228 --1.65147 -1.27369 -1.64013 -2.61848 --1.65147 -1.27369 1.69977 2.39662 --0.322274 -1.83878 -1.41399 2.16978 --0.322274 -1.83878 1.14766 -2.26736 --0.322274 -1.83878 0.266334 0.0975738 --1.3966 0.561194 -0.298145 -0.29773 -0.585386 1.68859 -2.40868 -0.757116 -0.585386 1.68859 2.16222 0.557778 -0.585386 1.68859 0.246464 0.199338 -1.2834 -0.26008 0.650837 1.55816 -1.2834 -0.26008 -0.122716 -1.40466 -1.2834 -0.26008 -0.528122 -0.153505 --1.85072 1.90709 -1.57 4.10784 --1.85072 1.90709 1.56584 -3.96618 --1.85072 1.90709 0.00415471 -0.141656 --1.7821 -0.652039 2.36905 1.23332 --1.7821 -0.652039 -2.15997 -1.41243 -0.0502488 1.72195 -1.82131 -1.54527 -0.0502488 1.72195 1.48344 1.53303 -0.0502488 1.72195 0.337869 0.0122353 -0.500405 0.612511 0.848489 -0.586208 -0.500405 0.612511 -1.01349 -0.144534 -0.500405 0.612511 0.165003 0.730743 -0.329158 -1.72932 -2.18241 1.18196 -0.329158 -1.72932 1.87578 -1.06272 --1.46305 0.498189 1.85954 -0.810044 -0.328753 -1.97089 -2.53725 1.48559 -0.328753 -1.97089 2.29834 -1.40448 -1.20923 -0.775906 1.39711 1.31118 -1.20923 -0.775906 -1.2218 -0.835962 -1.20923 -0.775906 -0.17531 -0.475219 --0.234153 -1.03679 -0.832118 0.968659 --0.234153 -1.03679 0.243151 -1.25097 --1.82081 -1.21256 -2.02295 -2.59201 --1.82081 -1.21256 2.10398 2.39994 --1.82081 -1.21256 -0.0810249 0.192072 --1.22457 -0.0379589 -0.869207 -0.367661 --1.51011 -1.69671 -1.04113 -3.35717 --1.51011 -1.69671 1.01881 3.16404 --1.73891 0.267804 2.41628 -0.491657 --1.73891 0.267804 -2.1073 0.595143 --1.73891 0.267804 -0.308982 -0.103485 -1.12886 -1.13673 1.89693 0.94741 -1.12886 -1.13673 -1.90807 -0.568061 -1.12886 -1.13673 0.01114 -0.379349 --1.51108 -0.836679 -1.57595 -1.70664 --1.51108 -0.836679 1.75257 1.42933 --1.51108 -0.836679 -0.176625 0.277311 -1.49269 -1.09473 2.09414 1.59493 -1.49269 -1.09473 -2.00981 -1.31452 -1.98916 -0.417218 0.988502 2.81042 -1.98916 -0.417218 -0.766374 -2.71477 -1.98916 -0.417218 -0.222128 -0.0956477 -0.719451 1.45138 -2.1685 -0.325002 -0.719451 1.45138 1.94917 0.0159083 -0.719451 1.45138 0.21933 0.309094 -1.76899 -0.178169 0.501111 2.38662 -1.76899 -0.178169 -0.1946 -2.32767 -1.89834 1.10024 2.35431 -2.37807 -1.89834 1.10024 -2.25107 2.19698 --1.91552 0.985376 -2.33434 2.15718 --1.91552 0.985376 2.45924 -1.98275 --1.91552 0.985376 -0.124898 -0.174433 -0.420353 -1.08179 1.08839 0.154116 -0.467564 1.57428 1.79942 0.600141 -1.01096 1.81373 -3.05461 -0.160443 -1.01096 1.81373 2.93401 -0.0369856 --1.50985 1.03365 -1.49549 2.07534 --1.50985 1.03365 1.60613 -1.80027 --1.50985 1.03365 -0.110637 -0.275072 -1.01397 -1.15695 1.82907 0.753355 -1.01397 -1.15695 -1.88731 -0.352501 -1.01397 -1.15695 0.0582399 -0.400853 --0.9156 0.42942 1.13799 -0.459534 --0.9156 0.42942 -0.712006 0.986259 --0.9156 0.42942 -0.425982 -0.526725 -1.4427 -0.420456 0.915662 1.79331 -1.4427 -0.420456 -0.522758 -1.57396 -1.44992 0.553426 1.137 -1.7771 -1.44992 0.553426 -0.805842 1.49947 --0.850664 0.0635926 1.15932 -0.0652555 -1.20092 1.23276 2.1134 -0.983519 -1.20092 1.23276 -2.12645 0.651821 -1.20092 1.23276 0.0130482 0.331699 --0.155615 0.64092 0.0192421 0.933423 --0.155615 0.64092 -0.705171 -0.60313 --0.155615 0.64092 0.685929 -0.330292 -1.27785 -0.197169 0.558086 1.54901 -1.27785 -0.197169 -0.0230398 -1.43566 -1.27785 -0.197169 -0.535046 -0.11335 -1.48969 -1.70768 3.25921 1.0735 -1.48969 -1.70768 -3.28574 -0.881191 -1.48969 -1.70768 0.026536 -0.192307 -0.0332074 0.0920075 0.370094 -0.274189 -0.0332074 0.0920075 -0.423581 -0.18296 -0.0332074 0.0920075 0.0534874 0.457148 --1.4615 -0.6973 1.75318 1.14806 --1.4615 -0.6973 -1.52094 -1.43543 --0.122626 0.139417 -0.13716 0.557586 --0.122626 0.139417 0.545385 -0.162248 --0.122626 0.139417 -0.408225 -0.395338 -0.865435 0.943328 1.40904 -0.730561 -0.865435 0.943328 -1.48062 0.195246 --1.44411 1.32972 -1.20128 2.59349 --1.44411 1.32972 1.22481 -2.33399 --1.57915 0.224706 2.13994 -0.383932 --1.57915 0.224706 -1.75945 0.509111 -1.54492 0.00319369 0.206351 -1.95219 -1.54492 0.00319369 0.195076 1.95076 -1.54492 0.00319369 -0.401427 0.00143525 --0.648797 -1.37436 0.123525 -2.0192 --0.648797 -1.37436 -0.412689 1.70249 --0.648797 -1.37436 0.289164 0.316707 -1.09267 -1.02796 1.70119 0.977959 -1.09267 -1.02796 -1.69299 -0.548427 -1.09267 -1.02796 -0.00820679 -0.429531 -0.401512 0.668396 -1.02542 -0.245383 -0.401512 0.668396 0.84005 -0.491483 --1.78483 -0.480394 2.44389 0.903393 --1.78483 -0.480394 -2.19364 -1.05295 --0.987028 -1.7296 -0.0363895 -2.91468 --0.987028 -1.7296 -0.0939272 2.69772 --0.987028 -1.7296 0.130317 0.216962 -0.925513 -1.73497 -2.82803 0.237956 -0.925513 -1.73497 2.68617 -0.0225428 -0.925513 -1.73497 0.141866 -0.215413 --1.66476 -0.351211 2.2613 0.626119 --1.66476 -0.351211 -1.94836 -0.773489 --1.43273 0.201488 1.90212 -0.318815 --1.43273 0.201488 -1.43944 0.490066 -1.55148 0.423031 0.936588 -1.9768 -1.55148 0.423031 -0.594072 1.79123 -1.55148 0.423031 -0.342516 0.185567 --1.77925 -1.284 -1.89473 -2.71711 --1.77925 -1.284 1.96085 2.52051 --0.0919841 -1.25808 -1.14767 1.11644 --0.0919841 -1.25808 0.600535 -1.25804 --0.0919841 -1.25808 0.547137 0.141601 -0.596254 1.12836 -1.61454 -0.264712 -0.596254 1.12836 1.35601 -0.239336 -0.596254 1.12836 0.25854 0.504048 --1.73718 0.115617 2.4351 -0.211646 --1.73718 0.115617 -2.10228 0.259603 --1.73718 0.115617 -0.332823 -0.0479565 --1.35167 -0.125461 -1.22351 -0.365576 -0.394946 -1.32202 -1.70856 0.668547 -0.394946 -1.32202 1.24895 -0.307089 -0.394946 -1.32202 0.459612 -0.361458 --0.159204 0.405787 -0.0745103 0.78293 --0.159204 0.405787 -0.587817 -0.490228 --0.159204 0.405787 0.662327 -0.292703 --0.708812 -1.61936 0.295567 -2.43476 --0.708812 -1.61936 -0.515579 2.20472 --0.708812 -1.61936 0.220012 0.230043 -1.62188 -1.24145 2.45802 1.73543 -1.62188 -1.24145 -2.39693 -1.50343 -1.62188 -1.24145 -0.0610903 -0.232001 --0.660068 -1.3527 -0.376064 1.6707 --0.980836 -0.721638 -0.747289 -1.36295 --0.980836 -0.721638 1.01039 0.822155 --0.980836 -0.721638 -0.263105 0.540798 -0.911803 1.03685 1.56827 -0.713618 -0.911803 1.03685 -1.64124 0.235858 -0.911803 1.03685 0.0729649 0.47776 -1.54771 1.03001 2.0112 -1.73609 -1.54771 1.03001 -1.90168 1.46604 -0.133595 -1.93337 -2.21809 1.72175 -0.133595 -1.93337 1.95289 -1.6873 -0.133595 -1.93337 0.265199 -0.0344449 -1.35756 1.49539 2.71991 -1.02393 -1.35756 1.49539 -2.74413 0.781575 --0.824021 1.98597 0.541142 3.17001 --0.824021 1.98597 -0.694288 -3.01781 --0.602104 1.40706 0.219541 2.01588 --0.602104 1.40706 -0.521612 -1.72616 --0.630568 -1.51441 -0.560112 1.94109 -0.977373 -1.66973 -2.76048 0.0839845 -0.977373 -1.66973 2.63226 0.14875 -0.977373 -1.66973 0.128216 -0.232735 --1.41815 -1.80084 -0.762477 -3.47931 --1.41815 -1.80084 0.717695 3.29373 -0.283623 -1.79143 -2.21497 1.32209 -0.283623 -1.79143 1.92102 -1.22907 -0.283623 -1.79143 0.293948 -0.0930195 -1.79931 -0.574111 -1.03271 -2.24023 -1.26007 -1.41009 2.47265 0.926236 -1.26007 -1.41009 -2.5048 -0.651386 -0.57685 -1.53903 -2.17333 0.619761 -0.57685 -1.53903 1.89636 -0.364582 -0.57685 -1.53903 0.276977 -0.255179 --1.86715 -1.70073 -1.78529 -3.66813 --1.86715 -1.70073 1.80011 3.51196 -0.437681 0.473402 0.721719 -0.592495 -0.437681 0.473402 -0.892698 -0.150744 -0.437681 0.473402 0.170979 0.743239 -1.50742 -1.63754 3.13667 1.17762 -1.50742 -1.63754 -3.15364 -0.977121 -1.50742 -1.63754 0.016969 -0.200495 -0.0744428 1.15024 -1.22836 -0.856558 -0.0744428 1.15024 0.5442 0.967926 -0.0744428 1.15024 0.684161 -0.111368 -1.8774 1.85561 3.95015 -1.7468 -1.8774 1.85561 -3.94859 1.6034 -0.719661 1.29957 -1.93754 -0.206379 -0.719661 1.29957 1.7231 -0.177959 -0.719661 1.29957 0.214445 0.384338 --1.69528 1.31016 -1.70592 2.71925 --1.69528 1.31016 1.76182 -2.50883 --1.69528 1.31016 -0.0559028 -0.210418 --0.235978 -0.0921421 0.63256 0.0854871 --0.235978 -0.0921421 -0.25467 -0.582451 --0.235978 -0.0921421 -0.37789 0.496964 --0.633026 1.1507 -0.0596378 1.71662 --0.633026 1.1507 -0.320331 -1.27795 --0.633026 1.1507 0.379969 -0.438672 -1.74247 -1.34902 2.75934 1.89531 -1.74247 -1.34902 -2.70853 -1.69568 -1.23478 -0.611809 -0.800059 -0.923539 -0.390679 -0.444942 0.687743 0.566853 --0.489613 -0.377829 -0.325602 -0.872908 -1.92607 -1.47669 3.16566 2.18199 -1.92607 -1.47669 -3.12191 -2.01791 -1.92607 -1.47669 -0.043755 -0.164079 --0.953628 -1.45179 -0.253688 -2.42095 --0.953628 -1.45179 0.115554 2.11341 -1.69289 -1.70293 3.44611 1.49413 -1.69289 -1.70293 -3.44739 -1.32097 --0.865744 -1.78083 0.225673 -2.86916 --0.865744 -1.78083 -0.384891 2.6699 --0.865744 -1.78083 0.159218 0.199256 -0.140999 0.845353 -1.02696 -0.552497 -0.140999 0.845353 0.254488 0.850401 -0.140999 0.845353 0.772476 -0.297904 --0.141362 -1.15347 -1.00857 1.0369 --0.141362 -1.15347 0.432971 -1.24167 --0.141362 -1.15347 0.575602 0.204768 --0.252062 0.92391 0.133228 1.1814 --0.252062 0.92391 -0.758057 -0.862928 -0.852385 0.277019 0.644643 -1.01258 -0.852385 0.277019 0.142592 0.932793 --0.649103 -0.0755596 0.968924 0.0657639 --0.649103 -0.0755596 -0.484081 -0.695072 --0.649103 -0.0755596 -0.484843 0.629308 -0.64876 1.27168 -1.84578 -0.289686 -0.64876 1.27168 1.59417 -0.11676 -0.64876 1.27168 0.251608 0.406446 -1.11818 0.718497 1.2687 -1.20661 -1.11818 0.718497 -1.10262 0.633122 -1.11818 0.718497 -0.16608 0.573488 --0.891395 -1.99003 0.42782 -3.26034 --0.891395 -1.99003 -0.568373 3.10414 --0.891395 -1.99003 0.140554 0.156206 -0.33513 0.0580741 0.381769 -0.602327 -0.33513 0.0580741 0.298272 0.633933 -0.33513 0.0580741 -0.680042 -0.0316064 --0.730459 1.83901 0.517913 2.80658 --0.730459 1.83901 -0.704205 -2.63341 --0.730459 1.83901 0.186291 -0.173174 --1.43313 -0.89884 -1.41088 -1.79399 --1.43313 -0.89884 1.56533 1.48744 --1.43313 -0.89884 -0.154447 0.306549 --0.28019 -1.52364 -1.13915 1.63713 --0.28019 -1.52364 0.766876 -1.78365 --0.28019 -1.52364 0.372274 0.146521 --0.894826 1.79148 0.18862 2.91991 --0.894826 1.79148 -0.340037 -2.72157 --0.894826 1.79148 0.151417 -0.198336 -0.799178 -0.508011 0.876199 0.901497 -0.799178 -0.508011 -0.944508 -0.11252 -0.799178 -0.508011 0.0683087 -0.788977 --0.0639638 1.48772 -1.40071 -1.3707 --0.0639638 1.48772 0.96477 1.4315 -0.425222 1.2718 1.24287 0.163086 -0.530592 1.41985 -1.95883 -0.576112 -0.530592 1.41985 1.63613 0.26555 -0.918105 1.82969 -2.98987 -0.345737 -0.918105 1.82969 2.84862 0.153665 -0.746635 -0.603304 0.953962 0.808911 -0.746635 -0.603304 -1.03811 -0.0764297 -0.249367 -1.54948 -1.84817 1.08129 -0.249367 -1.54948 1.44349 -0.957885 --1.89057 0.966725 -2.28886 2.10704 --1.89057 0.966725 2.4182 -1.92824 -0.00564108 1.65704 -1.68209 -1.5137 -0.00564108 1.65704 1.31851 1.52177 -0.85502 1.81291 -2.89503 -0.440498 -0.85502 1.81291 2.73815 0.247175 --1.51238 -0.335698 2.00064 0.5564 --1.51238 -0.335698 -1.6329 -0.749267 -0.75765 0.190934 0.548823 -0.926878 -0.75765 0.190934 0.231812 0.899206 -1.49131 1.8852 -3.66093 0.724555 -1.49131 1.8852 3.62119 -0.89262 -1.49131 1.8852 0.0397413 0.168065 --0.346449 -1.74053 -1.26263 2.0397 --0.346449 -1.74053 0.974642 -2.16017 --0.346449 -1.74053 0.287987 0.120465 --0.189563 -0.133181 -0.1985 -0.586833 --0.189563 -0.133181 0.600998 0.131249 --0.189563 -0.133181 -0.402498 0.455584 -1.41068 -0.721669 1.40304 1.65484 -1.41068 -0.721669 -1.16242 -1.31543 -1.87375 -1.551 3.28349 2.01051 -1.87375 -1.551 -3.25224 -1.84445 -1.87375 -1.551 -0.0312418 -0.16606 --0.0247308 1.39009 -1.34945 -1.20936 --0.0247308 1.39009 0.851617 1.27063 --0.0247308 1.39009 0.497837 -0.0612663 --1.32469 0.112786 1.74889 -0.167107 --1.32469 0.112786 -1.15277 0.360106 --1.32469 0.112786 -0.596129 -0.192998 --1.23626 1.37261 -0.792508 2.52224 --1.23626 1.37261 0.763316 -2.22686 --1.23626 1.37261 0.0291929 -0.295373 --0.729042 -1.20531 -0.137298 -1.86547 --0.729042 -1.20531 -0.148545 1.42387 --0.729042 -1.20531 0.285843 0.4416 --1.64038 0.983976 -1.76897 2.03807 --1.64038 0.983976 1.89801 -1.79977 --1.64038 0.983976 -0.129038 -0.238294 --1.99665 -0.853057 2.70637 1.74913 --1.99665 -0.853057 -2.56055 -1.90197 -0.0693485 0.0608251 -0.439081 -0.10686 -0.0693485 0.0608251 0.313027 -0.326482 -0.0693485 0.0608251 0.126055 0.433342 --0.685185 -1.70447 0.429114 -2.53826 --0.685185 -1.70447 -0.644054 2.33714 -1.89875 -1.13705 2.43055 2.35738 -1.89875 -1.13705 -2.33428 -2.17663 -1.89875 -1.13705 -0.096264 -0.180759 -0.984786 1.04033 1.63421 -0.811262 -0.984786 1.04033 -1.67482 0.354419 --0.977868 -1.09724 -0.56526 -1.89461 --0.977868 -1.09724 0.526516 1.39873 --0.623103 -1.7882 0.626773 -2.59326 --0.623103 -1.7882 -0.844797 2.42304 --0.623103 -1.7882 0.218024 0.170219 --1.73511 0.513787 2.33743 -0.948665 --1.73511 0.513787 -2.08539 1.11723 --1.07045 0.760743 -0.861489 1.44509 --1.07045 0.760743 1.08828 -0.956361 -0.784602 1.36718 -2.08887 -0.156415 -0.784602 1.36718 1.90138 -0.189907 -1.42135 -1.38367 2.56935 1.24353 -1.42135 -1.38367 -2.56413 -0.990786 --0.512462 1.58533 0.541776 2.15818 --0.512462 1.58533 -0.830426 -1.95613 --1.13488 0.159149 1.47845 -0.206708 --1.13488 0.159149 -0.890297 0.608039 --1.13488 0.159149 -0.588154 -0.401331 -1.4577 -0.263462 0.658515 1.83129 -1.4577 -0.263462 -0.234921 -1.69848 -1.99105 0.25311 0.650777 -2.82891 -1.99105 0.25311 -0.411243 2.76848 --1.78796 1.87837 -1.45852 3.98709 --1.78796 1.87837 1.45129 -3.83842 -1.902 -0.398496 0.938761 2.63623 -1.902 -0.398496 -0.695582 -2.53237 --0.395867 1.25768 0.314209 1.61815 --0.395867 1.25768 -0.754146 -1.3412 --0.395867 1.25768 0.439938 -0.276943 -0.683056 1.41764 -2.08657 -0.352623 -0.683056 1.41764 1.84916 0.0281032 -0.683056 1.41764 0.237415 0.32452 -1.39319 0.899551 1.69206 -1.53978 -1.39319 0.899551 -1.54796 1.19873 -1.39319 0.899551 -0.144103 0.341048 --1.72087 0.210033 2.3936 -0.382331 --1.72087 0.210033 -2.0676 0.469065 --0.432136 -0.372878 -0.283309 -0.851939 --0.432136 -0.372878 0.78213 0.265938 --0.432136 -0.372878 -0.498821 0.586001 -0.769592 1.77573 -2.74234 -0.549274 -0.769592 1.77573 2.56121 0.352215 --1.04747 -1.40729 -0.444267 -2.43064 --1.04747 -1.40729 0.34755 2.11361 -1.66969 -1.88477 3.80748 1.26661 -1.66969 -1.88477 -3.82655 -1.11027 -1.98934 -0.486025 1.12998 2.79949 -1.98934 -0.486025 -0.917545 -2.69088 -1.98934 -0.486025 -0.212439 -0.108618 -1.58355 -1.93661 3.82721 1.02966 -1.58355 -1.93661 -3.85891 -0.873311 -1.58355 -1.93661 0.0317041 -0.156352 -1.98432 -1.97367 4.31996 1.8725 -1.98432 -1.97367 -4.31934 -1.7449 --0.400136 -1.54728 0.646236 -1.96891 --0.400136 -1.54728 -0.978407 1.78754 --0.589942 -0.724836 -0.288248 -1.21673 --0.589942 -0.724836 0.727265 0.479664 --0.589942 -0.724836 -0.439016 0.737068 --1.60395 0.0387424 2.20266 -0.0668398 --1.60395 0.0387424 -1.79911 0.0893951 --0.961189 1.13435 -0.516286 1.93871 --0.961189 1.13435 0.44552 -1.45769 --0.961189 1.13435 0.0707669 -0.481016 --1.53232 1.49974 -1.24783 2.98482 --1.53232 1.49974 1.25333 -2.76668 --0.780684 -1.30925 -0.119785 -2.0521 --0.780684 -1.30925 -0.109199 1.67398 --0.780684 -1.30925 0.228984 0.378119 --0.172453 -0.200045 -0.153805 -0.63271 --0.172453 -0.200045 0.609142 0.188473 --0.172453 -0.200045 -0.455337 0.444238 -0.729991 0.90518 1.25662 -0.603763 -0.729991 0.90518 -1.38706 0.0167823 -0.729991 0.90518 0.130441 0.586981 --1.55551 -0.32173 2.0775 0.544718 --1.55551 -0.32173 -1.71952 -0.716427 --0.00207651 0.00473738 -0.136485 -0.106211 --0.00207651 0.00473738 -0.0237389 0.171305 --0.00207651 0.00473738 0.160224 -0.0650937 --1.82127 -0.115644 2.59181 0.218883 --1.82127 -0.115644 -2.2901 -0.259448 --1.82127 -0.115644 -0.301709 0.0405655 -1.82464 0.537642 1.19961 -2.45913 -1.82464 0.537642 -0.964825 2.31101 -1.82464 0.537642 -0.234789 0.148118 -0.00856566 -0.720161 0.143534 -0.892037 -0.00856566 -0.720161 0.708093 0.32979 -0.909458 -0.958495 1.46287 0.774709 -0.909458 -0.958495 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1.32966 -1.58082 --1.29442 0.950841 -1.14619 1.82957 --1.29442 0.950841 1.27265 -1.46817 --1.29442 0.950841 -0.126461 -0.361397 --0.347381 -1.45631 0.598616 -1.78893 --0.347381 -1.45631 -0.977144 1.59895 --0.347381 -1.45631 0.378529 0.189987 --0.428496 1.37285 0.402707 1.7851 --0.428496 1.37285 -0.784851 -1.53775 -0.30493 1.88937 -2.38382 -1.41524 -0.30493 1.88937 2.1217 1.32978 -1.42853 -0.946745 1.79259 1.57339 -1.42853 -0.946745 -1.66462 -1.25317 -1.42853 -0.946745 -0.127961 -0.320224 --1.61163 -0.241238 2.19299 0.418709 --1.61163 -0.241238 -1.8311 -0.54175 --1.81907 -1.82595 -1.57366 -3.90081 --1.81907 -1.82595 1.57323 3.75013 --1.81907 -1.82595 0.000429059 0.150674 -0.418212 1.92177 -2.57669 -1.28491 -0.418212 1.92177 2.33935 1.17667 --0.887592 -1.54651 -0.0588613 -2.50938 --0.887592 -1.54651 -0.105399 2.23821 -1.17932 1.1927 2.02884 -0.981848 -1.17932 1.1927 -2.03853 0.633372 --0.295529 -0.206422 -0.242483 -0.68749 --0.295529 -0.206422 0.695842 0.165562 --0.295529 -0.206422 -0.453359 0.521928 -1.98697 -1.48218 3.22426 2.30975 -1.98697 -1.48218 -3.17813 -2.15363 -1.98697 -1.48218 -0.0461303 -0.156127 -0.790004 -0.222918 0.582583 0.955131 -0.790004 -0.222918 0.201753 -0.911978 -0.790004 -0.222918 -0.784336 -0.043153 -0.884119 1.57225 -2.50645 -0.15998 -0.884119 1.57225 2.35161 -0.102927 -0.884119 1.57225 0.15484 0.262907 --0.908147 1.92925 0.324979 3.17327 --0.908147 1.92925 -0.465917 -3.00453 --0.908147 1.92925 0.140938 -0.168741 -1.52435 -1.67828 3.23446 1.17203 -1.52435 -1.67828 -3.25333 -0.978972 -0.699758 -0.185024 0.538004 0.874106 -0.699758 -0.185024 0.247379 -0.863043 --1.71092 -1.25602 -1.77084 -2.61864 --1.71092 -1.25602 1.83828 2.4075 --1.71092 -1.25602 -0.0674474 0.211144 -1.92385 -0.883576 1.92273 2.54063 -1.92385 -0.883576 -1.77646 -2.37059 --1.15685 -0.713446 -1.0035 -1.39792 --1.15685 -0.713446 1.25153 0.963742 -1.22169 1.52213 2.63641 -0.748168 -1.22169 1.52213 -2.69275 0.494202 --0.771386 -1.27626 -0.135341 -1.99767 --0.771386 -1.27626 -0.103955 1.5993 --0.171427 -0.969814 -0.858422 0.865841 --0.171427 -0.969814 0.227367 -1.14693 -1.55928 0.66448 1.36083 -1.93079 -1.55928 0.66448 -1.11137 1.6756 -1.55928 0.66448 -0.249464 0.255193 --1.96024 -0.179464 2.85556 0.357258 --1.96024 -0.179464 -2.60023 -0.405831 --1.96024 -0.179464 -0.25533 0.0485735 -1.43407 -0.747457 1.45593 1.68313 -1.43407 -0.747457 -1.23172 -1.35588 -0.0696264 0.799961 -0.94495 -0.574475 -0.0696264 0.799961 0.209999 0.885354 --1.78976 1.41089 -1.83568 2.98907 --1.78976 1.41089 1.88121 -2.80203 -1.9492 -0.980611 2.13431 2.54726 -1.9492 -0.980611 -2.00867 -2.37782 -1.9492 -0.980611 -0.12564 -0.169437 --1.12411 -1.29277 -0.660742 -2.30226 --1.12411 -1.29277 0.614939 1.95653 -0.978955 -0.865907 1.39137 0.932576 -0.978955 -0.865907 -1.38139 -0.388958 -0.978955 -0.865907 -0.00997743 -0.543618 -0.880185 -1.00548 1.50001 0.698593 -0.880185 -1.00548 -1.58013 -0.197837 -0.880185 -1.00548 0.0801143 -0.500756 -0.958839 -0.391455 0.790222 1.11272 -0.958839 -0.391455 0.0045152 -0.930765 -0.958839 -0.391455 -0.794738 -0.181951 --0.33204 1.59701 -1.1333 -1.79889 --0.33204 1.59701 0.799333 1.94555 -1.35464 1.99595 -3.75822 0.329682 -1.35464 1.99595 3.69505 -0.48917 -1.77869 -0.560015 1.2321 2.36513 -1.77869 -0.560015 -0.992997 -2.20193 --1.98922 1.49521 -2.20909 3.30769 --1.98922 1.49521 2.25422 -3.1527 -0.977517 -1.90909 -3.19662 0.320063 -0.977517 -1.90909 3.07048 -0.143247 -0.977517 -1.90909 0.126135 -0.176816 --1.79952 -1.03438 -2.06857 -2.20987 --1.79952 -1.03438 2.18535 2.01067 -1.97926 1.76298 3.83852 -2.05955 -1.97926 1.76298 -3.82227 1.9182 --0.118175 1.95801 -1.88381 -2.10181 --0.118175 1.95801 1.62704 2.13501 --0.118175 1.95801 0.25677 -0.0331973 -1.21746 0.845173 1.50672 -1.28684 -1.21746 0.845173 -1.37244 0.84216 -1.21746 0.845173 -0.13428 0.444681 -0.0413603 -1.52071 -1.56905 1.29747 -0.0413603 -1.52071 1.13563 -1.29702 -0.0413603 -1.52071 0.433419 -0.000443892 -0.83287 -0.779396 1.19031 0.807356 -0.83287 -0.779396 -1.24145 -0.176987 -0.83287 -0.779396 0.0511375 -0.630369 --0.0573658 0.0711039 -0.101184 0.439452 --0.0573658 0.0711039 0.430219 -0.13233 --0.0573658 0.0711039 -0.329035 -0.307122 -0.992053 1.21995 1.90385 -0.66171 -0.992053 1.21995 -1.98411 0.280764 --1.34223 -1.26064 -1.05995 -2.39818 --1.34223 -1.26064 1.08217 2.10196 --1.34223 -1.26064 -0.0222215 0.296227 -1.04935 -1.19181 1.9141 0.775777 -1.04935 -1.19181 -1.96684 -0.396213 -0.311651 -1.27699 -1.57966 0.728587 -0.311651 -1.27699 0.943841 -0.312044 -0.311651 -1.27699 0.63582 -0.416543 --0.227838 1.26852 -0.99084 -1.23897 --0.227838 1.26852 0.496788 1.4399 --0.227838 1.26852 0.494051 -0.200935 --0.823464 1.11815 -0.331305 1.8205 --0.823464 1.11815 0.1265 -1.26865 --0.823464 1.11815 0.204806 -0.551843 -1.85855 1.18582 2.50645 -2.24458 -1.85855 1.18582 -2.42008 2.05724 -1.85855 1.18582 -0.0863702 0.18734 --0.88994 1.439 -0.165215 2.34281 --0.88994 1.439 0.000136074 -2.02834 --0.88994 1.439 0.165079 -0.314472 --0.558004 0.0755522 0.892326 -0.0622072 --0.558004 0.0755522 -0.43616 0.686994 --0.558004 0.0755522 -0.456165 -0.624787 -1.06817 0.591842 1.07383 -1.19204 -1.06817 0.591842 -0.890708 0.452518 -1.06817 0.591842 -0.183126 0.739518 --0.559529 0.581957 -0.319037 1.06743 -0.464087 0.863693 -1.23297 -0.273452 -0.464087 0.863693 1.00285 -0.406172 -0.464087 0.863693 0.230124 0.679624 --1.06029 1.98213 0.112617 3.44707 --1.06029 1.98213 -0.223112 -3.28265 -0.780341 1.64274 -2.53024 -0.398817 -0.780341 1.64274 2.34281 0.161587 -0.780341 1.64274 0.187431 0.23723 -1.24041 1.39621 2.42962 -0.90438 -1.24041 1.39621 -2.46422 0.623075 -1.24041 1.39621 0.0345984 0.281305 -1.67721 -1.19049 2.39762 1.87827 -1.67721 -1.19049 -2.32079 -1.65412 -1.43214 1.85422 -3.54011 0.629453 -1.43214 1.85422 3.49424 -0.805282 --0.218246 1.78099 -1.50918 -1.95633 --0.218246 1.78099 1.21228 2.03346 --0.218246 1.78099 0.296896 -0.0771364 --1.05085 -0.738223 -0.839923 -1.40669 --1.05085 -0.738223 1.08267 0.907846 -1.52037 0.425263 0.935703 -1.92284 -1.52037 0.425263 -0.581037 1.7269 --1.04912 1.01232 -0.721987 1.80946 --1.04912 1.01232 0.773082 -1.32406 --1.04912 1.01232 -0.0510951 -0.485394 -0.452525 -1.014 -1.38732 0.368184 -0.452525 -1.014 1.08738 0.255993 -0.452525 -1.014 0.29994 -0.624177 --1.53102 1.42736 1.31644 -2.61363 --1.92618 -0.445741 2.73155 0.881278 --1.92618 -0.445741 -2.50277 -0.995561 --1.92618 -0.445741 -0.228782 0.114283 --1.75979 -1.71108 -1.54481 -3.60164 --1.75979 -1.71108 1.54972 3.43553 --1.75979 -1.71108 -0.00490355 0.166109 --0.852517 -1.79932 0.268911 -2.88512 --0.852517 -1.79932 -0.43015 2.6913 --1.84701 1.52356 -1.87839 3.26862 --1.84701 1.52356 1.91195 -3.0974 -0.637665 -1.70248 -2.48511 0.689649 -0.637665 -1.70248 2.25757 -0.486182 -1.90791 -0.252887 0.647565 2.65959 -1.90791 -0.252887 -0.38799 -2.59174 --0.355188 1.38049 0.497312 1.7094 --0.355188 1.38049 -0.901969 -1.4924 --1.37764 -1.56755 0.865389 2.76237 -0.996865 0.447989 0.86718 -1.14567 -0.996865 0.447989 -0.0618273 0.901811 -0.996865 0.447989 -0.805353 0.243854 --1.23964 1.90756 -0.307528 3.50609 --1.23964 1.90756 0.2285 -3.32924 --0.953349 1.8096 0.108488 3.0164 --0.953349 1.8096 -0.245157 -2.81984 --0.0016444 0.0208823 -0.23504 -0.144046 --0.0016444 0.0208823 -0.00720912 0.275567 --0.0016444 0.0208823 0.242249 -0.131522 -1.06847 1.44331 -2.42883 0.267934 -1.06847 1.44331 2.34081 -0.560296 --0.776912 -0.585472 -0.535244 -1.13995 --1.30763 0.286922 1.6908 -0.421792 --1.30763 0.286922 -1.22826 0.705144 --1.30763 0.286922 -0.462541 -0.283353 --1.15823 -0.829392 -0.971367 -1.57765 --1.15823 -0.829392 1.15334 1.13976 --1.15823 -0.829392 -0.181973 0.437891 --0.0151785 1.7309 -1.74374 -1.639 --0.0151785 1.7309 1.41105 1.65189 --0.0151785 1.7309 0.332689 -0.0128967 -1.69279 1.84087 3.73731 -1.36027 -1.69279 1.84087 -3.75079 1.20118 -1.69279 1.84087 0.0134792 0.159089 --0.0300088 1.63017 -1.60283 -1.51997 --0.0300088 1.63017 1.23001 1.54546 -1.10279 -1.58383 -2.7135 -0.219797 -1.10279 -1.58383 2.62222 0.469764 -1.10279 -1.58383 0.0912826 -0.249967 --1.34477 0.250151 1.75569 -0.376148 --1.34477 0.250151 -1.28131 0.622892 --1.34477 0.250151 -0.474376 -0.246744 --1.87819 1.53322 -1.93863 3.31215 --1.87819 1.53322 1.97302 -3.14553 -0.240919 0.495622 0.683415 -0.459062 -0.240919 0.495622 0.147255 0.746993 --1.21979 1.1157 0.979876 -1.70246 --0.937519 -0.595108 -0.721408 -1.18706 --0.937519 -0.595108 1.06583 0.645937 -1.24145 0.684267 1.27376 -1.4019 -1.24145 0.684267 -1.00725 0.923472 -1.24145 0.684267 -0.266512 0.478432 --0.55904 1.92273 0.901589 2.72275 --0.55904 1.92273 -1.11105 -2.59058 --0.55904 1.92273 0.209457 -0.132173 -1.69999 -0.204549 0.553031 2.25699 -1.69999 -0.204549 -0.225566 -2.18255 -1.19159 -0.581837 1.1037 1.36686 -1.19159 -0.581837 -0.664417 -0.765761 -1.19159 -0.581837 -0.43928 -0.601099 --1.09865 -0.0273166 1.44416 0.0344968 --1.09865 -0.0273166 -0.746729 -0.50743 --1.09865 -0.0273166 -0.697428 0.472933 --1.30214 -0.900481 -1.18006 -1.74698 --1.30214 -0.900481 1.32983 1.38581 --1.30214 -0.900481 -0.149771 0.361172 --1.71744 -1.84869 -1.3335 -3.85835 --1.71744 -1.84869 1.32206 3.7015 -0.473182 -1.15388 -1.56424 0.436998 -0.473182 -1.15388 1.21335 0.0876987 -0.473182 -1.15388 0.350884 -0.524697 -1.82418 -0.434516 0.99886 2.47773 -1.82418 -0.434516 -0.743354 -2.35259 --0.900365 -1.07565 -0.466939 -1.81369 --0.900365 -1.07565 0.383037 1.24472 --0.900365 -1.07565 0.0839021 0.568969 -1.66726 1.69296 3.40125 -1.45004 -1.66726 1.69296 -3.40423 1.27325 -1.72375 -1.85263 3.79337 1.41472 -1.72375 -1.85263 -3.80471 -1.25918 --1.26563 1.50108 -0.742731 2.77461 --1.26563 1.50108 0.698961 -2.51658 -0.439811 0.404834 0.671293 -0.61337 -0.439811 0.404834 -0.850762 -0.129187 --1.20282 0.809963 -1.04834 1.56203 --1.20282 0.809963 1.24115 -1.14909 --1.57012 -1.81458 -1.05593 -3.65069 --1.57012 -1.81458 1.03102 3.47844 --1.57012 -1.81458 0.0249039 0.172247 -1.0794 -1.66859 -2.85057 -0.103184 -1.0794 -1.66859 2.74857 0.333217 --0.229372 -1.65847 -1.35323 1.78428 --0.229372 -1.65847 1.01856 -1.88372 --0.229372 -1.65847 0.334667 0.0994357 --1.55957 -1.61563 -1.20957 -3.23703 --1.55957 -1.61563 1.20298 3.03828 --1.55957 -1.61563 0.00658914 0.198749 --1.0166 0.834738 -0.757749 1.53287 --1.0166 0.834738 0.938284 -1.00252 -0.176279 0.988144 -1.1709 -0.626173 -0.176279 0.988144 0.367326 0.833533 -0.176279 0.988144 0.803572 -0.20736 -1.34568 0.450072 0.946368 -1.63277 -1.34568 0.450072 -0.50655 1.35718 -1.34568 0.450072 -0.439817 0.275593 --1.81388 0.191035 2.56945 -0.36084 --1.81388 0.191035 -2.27285 0.427297 --1.81388 0.191035 -0.296601 -0.0664574 --0.858461 0.78605 -0.564434 1.40387 --0.858461 0.78605 0.815262 -0.761577 -1.49121 -0.340465 0.788433 1.88342 -1.49121 -0.340465 -0.397042 -1.71838 -1.49121 -0.340465 -0.391391 -0.165042 --1.54985 -0.744841 1.88214 1.28587 --1.54985 -0.744841 -1.67534 -1.5444 --1.86495 -1.26908 -2.08389 -2.73662 --1.86495 -1.26908 2.15641 2.55433 -1.66365 0.768072 1.58735 -2.08134 -1.66365 0.768072 -1.39088 1.8516 -0.18224 0.649415 -0.906478 -0.403872 -0.18224 0.649415 0.739911 -0.391024 -0.18224 0.649415 0.166567 0.794896 --1.95604 -0.102657 2.85449 0.203945 --1.95604 -0.102657 -2.59314 -0.232349 --1.24504 1.70246 -0.524972 3.12511 --1.24504 1.70246 0.456143 -2.90988 --1.10303 1.67277 -0.296565 2.93382 --1.10303 1.67277 0.196754 -2.70391 --1.10303 1.67277 0.0998112 -0.229911 --0.842951 -1.26115 0.0591413 1.62214 --0.919705 1.26137 -0.362034 2.09772 --0.919705 1.26137 0.223675 -1.69055 --0.764569 1.71551 0.317104 2.64739 --0.764569 1.71551 -0.508548 -2.4394 --0.764569 1.71551 0.191444 -0.207991 --1.20229 -0.602976 -1.09291 -1.23488 --1.20229 -0.602976 1.39621 0.835839 --1.20229 -0.602976 -0.303305 0.39904 -1.96007 1.53723 3.32345 -2.2082 -1.96007 1.53723 -3.2853 2.05161 --0.787268 1.86335 0.453473 2.91565 --0.787268 1.86335 -0.624565 -2.74201 --0.787268 1.86335 0.171092 -0.173642 --1.83059 0.267032 2.58872 -0.508193 --1.83059 0.267032 -2.30777 0.595579 --1.83059 0.267032 -0.280943 -0.0873861 --1.81097 -1.52162 -1.80272 -3.2382 --1.81097 -1.52162 1.83396 3.06215 -1.01375 0.329987 0.7257 -1.18919 --0.79897 0.247616 1.08281 -0.240476 --0.79897 0.247616 -0.59103 0.80972 --0.79897 0.247616 -0.491779 -0.569244 --1.79175 1.83945 -1.5021 3.90585 --1.79175 1.83945 1.49825 -3.75408 --0.393954 1.08418 0.146832 1.43809 --0.393954 1.08418 -0.666998 -1.10052 -0.226481 -1.96281 -2.38831 1.62811 -0.226481 -1.96281 2.137 -1.57095 -1.61988 -0.5352 -0.284023 -0.201933 -0.75996 1.44135 -2.18634 -0.253357 -0.75996 1.44135 1.98514 -0.0604399 -0.23243 1.08041 -1.30108 -0.646023 -0.23243 1.08041 0.452416 0.763996 -0.23243 1.08041 0.848664 -0.117973 -1.17025 -1.52557 -2.65905 -0.393384 -1.17025 -1.52557 2.58999 0.652146 -1.17025 -1.52557 0.06906 -0.258762 --0.0468351 -1.8273 -1.82013 1.81462 --0.0468351 -1.8273 1.5224 -1.83414 --0.644495 0.833387 -0.290244 1.35773 --1.29178 -1.91373 -0.401487 -3.57316 --1.29178 -1.91373 0.3309 3.39888 --1.21245 -0.577712 1.42655 0.805495 --1.21245 -0.577712 -1.11113 -1.1962 -1.96722 1.12807 2.45201 -2.50555 -1.96722 1.12807 -2.35378 2.33709 --0.533442 1.796 0.774736 2.4914 --0.533442 1.796 -1.01163 -2.33877 --0.533442 1.796 0.236893 -0.152627 --0.850851 -1.19266 -0.314626 -1.94437 --0.850851 -1.19266 0.133678 1.47639 --1.1237 -0.537657 1.32697 0.697133 --1.1237 -0.537657 -0.97915 -1.13049 --1.21696 -0.946541 -1.01865 -1.78845 --1.21696 -0.946541 1.1398 1.38967 --1.21696 -0.946541 -0.121144 0.398776 --1.6625 -1.96893 -1.10159 -4.06304 --1.6625 -1.96893 1.07636 3.91438 --1.6625 -1.96893 0.0252292 0.14866 -1.00486 -0.215236 0.586999 1.18747 -1.00486 -0.215236 0.115603 -1.08692 -1.00486 -0.215236 -0.702602 -0.100542 -0.46128 1.00227 -1.37955 -0.351326 -0.46128 1.00227 1.08958 -0.274518 -0.46128 1.00227 0.289974 0.625844 --0.82916 -1.43885 -0.0724539 -2.2859 --0.82916 -1.43885 -0.120142 1.97311 --0.809635 -0.522371 -0.584978 -1.07849 --0.809635 -0.522371 0.989338 0.495031 --0.264869 0.440911 -0.136512 0.844313 --0.264869 0.440911 -0.565686 -0.55293 --0.264869 0.440911 0.702198 -0.291383 -1.56143 1.49607 2.90629 -1.41444 -1.56143 1.49607 -2.89794 1.20134 -1.56143 1.49607 -0.00834826 0.213105 -1.879 -0.493301 1.1238 2.57523 -1.879 -0.493301 -0.891334 -2.447 -1.17202 -0.139269 0.484315 1.39548 -1.17202 -0.139269 0.114714 -1.31781 -1.17202 -0.139269 -0.599029 -0.0776752 -1.26066 0.746576 1.37732 -1.40375 -1.26066 0.746576 -1.16329 0.958142 -1.26066 0.746576 -0.21403 0.445606 --0.670506 1.59526 0.326185 2.35579 --0.670506 1.59526 -0.562469 -2.12371 --0.900445 -0.469733 -0.692972 -1.03151 --0.900445 -0.469733 1.10304 0.493762 --0.900445 -0.469733 -0.41007 0.537752 --0.55288 -0.211694 0.879876 0.170154 --0.55288 -0.211694 -0.410664 -0.767065 -0.995096 -0.0915615 -0.688498 -0.0399774 -1.96413 0.877226 1.92729 -2.62621 -1.96413 0.877226 -1.78223 2.46467 -1.96413 0.877226 -0.145057 0.161545 -0.359893 -1.174 1.03724 -0.0174702 -0.686421 -1.35683 -1.99807 0.298781 -0.686421 -1.35683 1.76263 0.0571843 -0.686421 -1.35683 0.235442 -0.355965 -1.37027 0.491944 1.0174 -1.66275 -1.37027 0.491944 -0.614653 1.37176 -1.37027 0.491944 -0.402745 0.290989 -1.77126 1.10869 2.29656 -2.11571 -1.77126 1.10869 -2.19692 1.90846 -1.77126 1.10869 -0.0996423 0.207249 --0.798274 1.51505 0.0488347 2.37117 --0.798274 1.51505 -0.248953 -2.09316 --0.798274 1.51505 0.200119 -0.278012 -1.23478 -0.348218 0.776574 1.48151 -1.23478 -0.348218 -0.219132 -1.25866 --0.983147 -0.950671 -0.657164 -1.68373 --0.983147 -0.950671 0.740986 1.13014 --0.333904 1.77478 -1.32114 -2.08042 --0.333904 1.77478 1.04014 2.19131 -1.23382 -1.84903 -3.34062 -0.231459 -1.23382 -1.84903 3.26356 0.41792 -1.23382 -1.84903 0.0770576 -0.186461 -0.821044 1.9356 -3.0749 -0.632325 -0.821044 1.9356 2.91827 0.468574 -0.821044 1.9356 0.156636 0.163751 -1.99073 1.39563 3.03881 -2.38199 -1.99073 1.39563 -2.98137 2.22271 -1.3529 -0.991866 1.82373 1.41716 -1.3529 -0.991866 -1.72528 -1.07355 -0.762439 1.24676 -1.88758 -0.105836 -0.762439 1.24676 1.70114 -0.300929 -0.762439 1.24676 0.186445 0.406765 -0.261522 -1.93558 -2.39527 1.53982 -0.261522 -1.93558 2.14024 -1.47117 --0.813921 -1.95794 0.523801 -3.1089 --0.813921 -1.95794 -0.681111 2.95229 -0.0122395 -0.776271 -0.889816 0.59709 -0.0122395 -0.776271 0.176367 -0.912086 -0.0122395 -0.776271 0.713449 0.314995 --1.1821 -1.47975 -0.611837 -2.66673 --1.1821 -1.47975 0.549549 2.39161 -1.45618 -0.113131 0.410149 1.82003 -1.45618 -0.113131 0.0300627 -1.76378 -1.45618 -0.113131 -0.440212 -0.0562424 --1.50822 0.74231 -1.59739 1.52932 --1.50822 0.74231 1.80836 -1.25604 --1.50822 0.74231 -0.210978 -0.273273 -0.663027 -1.79172 -2.65585 0.743583 -0.663027 -1.79172 2.44809 -0.562231 -0.663027 -1.79172 0.20776 -0.181352 -1.18565 0.793917 1.41196 -1.26658 -1.18565 0.793917 -1.2587 0.782753 -1.18565 0.793917 -0.153257 0.483829 --0.831655 1.66358 0.151927 2.63874 --0.831655 1.66358 -0.328562 -2.40955 --0.831655 1.66358 0.176635 -0.229188 --1.82164 0.0264736 2.5971 -0.0500935 --1.82164 0.0264736 -2.29124 0.05949 --0.602198 0.339093 0.897053 -0.272655 --1.13767 1.53686 -0.48474 2.72796 --1.13767 1.53686 0.403279 -2.46381 -0.972636 -1.04226 1.62692 0.792581 -0.972636 -1.04226 -1.67344 -0.333261 -0.972636 -1.04226 0.0465278 -0.45932 --0.345182 -0.310715 -0.24001 -0.778365 --0.345182 -0.310715 0.735256 0.227334 --0.345182 -0.310715 -0.495246 0.551031 -0.323551 0.713279 -1.02751 -0.329365 --0.588164 -1.79511 0.689677 -2.56011 --0.588164 -1.79511 -0.914607 2.39729 -0.793169 -1.05988 -1.62647 -0.0446462 -0.793169 -1.05988 1.49071 0.539564 -0.793169 -1.05988 0.135762 -0.494918 -1.63135 -0.695286 1.44119 2.04943 -1.63135 -0.695286 -1.21552 -1.81731 -1.3647 0.0903479 0.386944 -1.66926 -1.3647 0.0903479 0.10214 1.62081 -1.53582 1.04454 -0.104026 0.272559 -0.332782 -1.86278 -2.37999 1.34021 -0.332782 -1.86278 2.11466 -1.24349 --0.594538 -0.688782 -0.309206 -1.18304 -1.84701 -1.55575 3.27158 1.94948 -1.84701 -1.55575 -3.24279 -1.78051 -1.39146 1.56539 2.88438 -1.02112 -1.39146 1.56539 -2.91143 0.795957 -0.964899 1.99943 -3.35095 -0.441333 -0.964899 1.99943 3.22531 0.282033 -0.00285304 0.224976 -0.531312 -0.307175 -0.00285304 0.224976 0.00880969 0.607998 -0.00285304 0.224976 0.522503 -0.300823 --1.10693 -1.12247 -0.747981 -2.01403 --1.10693 -1.12247 0.755697 1.59927 --1.10693 -1.12247 -0.00771544 0.414764 -0.00726149 -0.00267994 0.118362 0.158493 -0.00726149 -0.00267994 0.0780765 -0.181751 -0.00726149 -0.00267994 -0.196439 0.0232578 --1.66081 -0.98155 -1.81036 -2.04195 --1.66081 -0.98155 1.94014 1.8092 --0.372995 0.158093 0.747758 -0.124841 --0.372995 0.158093 -0.311247 0.685048 --0.372995 0.158093 -0.436512 -0.560207 -1.00112 0.715963 1.20756 -1.04923 -1.00112 0.715963 -1.13288 0.416122 --1.92578 -1.69909 -1.91566 -3.71205 --1.92578 -1.69909 1.93475 3.56157 -0.862802 1.02312 1.50788 -0.661022 -0.862802 1.02312 -1.60082 0.164503 -0.862802 1.02312 0.0929399 0.496518 -0.742404 -1.58538 -2.4008 0.407009 -0.742404 -1.58538 2.19678 -0.152132 -0.742404 -1.58538 0.204021 -0.254877 --0.809835 -1.81711 0.360851 -2.86537 --0.809835 -1.81711 -0.530945 2.67914 -1.14443 1.75927 -3.0809 0.1429 -1.14443 1.75927 2.98998 -0.349858 -0.377808 0.222684 -0.742243 -0.0975651 -0.598852 1.61256 -2.30551 -0.658504 -0.598852 1.61256 2.05039 0.430078 -1.00174 1.60841 -2.67228 0.0144544 -1.00174 1.60841 2.55238 -0.26343 -1.00174 1.60841 0.119892 0.248976 --0.59132 0.103093 0.918621 -0.0862188 -0.890121 -1.22623 -1.93522 -0.106921 -0.890121 -1.22623 1.8118 0.503895 --1.4438 1.90142 -0.714773 3.70516 --1.4438 1.90142 0.667485 -3.5358 --0.838501 1.86703 0.371506 2.98309 --0.838501 1.86703 -0.531037 -2.80592 --0.386705 1.7919 -1.25497 -2.16804 --0.386705 1.7919 0.98774 2.28938 -1.03512 -1.55268 -2.60028 -0.121778 -1.03512 -1.55268 2.49275 0.384862 -1.03512 -1.55268 0.107533 -0.263083 --1.48315 -1.6055 -1.06624 -3.15326 --1.48315 -1.6055 1.05005 2.94379 --1.48315 -1.6055 0.0161834 0.209469 -1.78548 -1.31529 2.72226 2.00753 -1.78548 -1.31529 -2.66263 -1.81293 -1.31569 -1.41914 2.54054 1.01786 -1.31569 -1.41914 -2.56178 -0.753932 -1.31569 -1.41914 0.0212413 -0.263932 --0.0423461 -0.703767 -0.80901 0.582504 --0.0423461 -0.703767 0.112524 -0.911322 --0.0423461 -0.703767 0.696485 0.328817 --1.73624 -1.98746 -1.24238 -4.17551 --1.73624 -1.98746 1.22312 4.03307 --1.73624 -1.98746 0.0192574 0.142443 -1.32105 -0.415442 0.888433 1.60079 -1.32105 -0.415442 -0.416532 -1.34106 -1.32105 -0.415442 -0.471901 -0.259727 -1.18029 -0.894488 1.56014 1.20125 -1.18029 -0.894488 -1.46518 -0.754918 -1.18029 -0.894488 -0.0949616 -0.446332 -0.308095 1.46971 -1.8104 -0.920375 -0.308095 1.46971 1.37373 0.734215 -0.308095 1.46971 0.43667 0.186161 -1.7474 -0.97628 2.02246 2.14367 -1.7474 -0.97628 -1.89139 -1.92915 --0.965215 -0.0170398 1.28459 0.0193032 --0.965215 -0.0170398 -0.651247 -0.591922 --0.965215 -0.0170398 -0.633344 0.572619 -1.60931 0.306787 0.738021 -2.09031 -1.60931 0.306787 -0.391151 1.96466 --0.893227 -1.63246 0.0192069 -2.65359 --0.893227 -1.63246 -0.178589 2.41129 -1.57024 -1.5013 2.92431 1.42727 -1.57024 -1.5013 -2.91556 -1.21611 --1.64613 -1.7606 -1.26238 -3.608 --1.64613 -1.7606 1.25099 3.43593 --0.098906 0.866791 -0.863004 -0.733276 --0.098906 0.866791 0.186905 1.02778 -1.58087 -0.19898 0.546654 2.04072 -1.58087 -0.19898 -0.172042 -1.95526 -1.03246 1.2427 1.9775 -0.702307 -1.03246 1.2427 -2.04702 0.33779 -0.408029 -1.44817 -1.88305 0.769233 -0.408029 -1.44817 1.48941 -0.513327 -0.408029 -1.44817 0.393643 -0.255906 --0.732671 -1.8064 0.474852 -2.75618 --0.732671 -1.8064 -0.664384 2.57518 --0.221251 0.448591 -0.102874 0.833922 --0.221251 0.448591 -0.58523 -0.537179 --1.35265 0.423683 1.71302 -0.643939 --1.35265 0.423683 -1.34053 0.936513 --1.14635 1.76393 -0.282992 3.14066 --1.14635 1.76393 0.190102 -2.93362 -0.59759 -1.64338 -2.35149 0.691493 -0.59759 -1.64338 2.10116 -0.474642 --0.892618 -0.670077 -0.64756 -1.27025 --0.892618 -0.670077 0.961937 0.687599 --0.892618 -0.670077 -0.314377 0.58265 -1.27903 -1.56234 2.76787 0.812647 -1.27903 -1.56234 -2.81611 -0.573931 -1.27903 -1.56234 0.0482394 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0.209179 -0.458886 -1.05729 0.317541 -0.597388 -0.486764 -1.44262 -1.95045 0.657649 -0.486764 -1.44262 1.60505 -0.37073 --0.819061 -0.84859 -0.486993 -1.46496 --0.819061 -0.84859 0.704565 0.761375 --0.819061 -0.84859 -0.217571 0.703581 --1.55996 1.66055 -1.17263 3.32778 --1.55996 1.66055 1.1609 -3.13498 --1.97481 -1.44426 -2.21192 -3.18514 --1.97481 -1.44426 2.26281 3.02612 --1.97481 -1.44426 -0.05089 0.159026 --1.53641 1.11732 -1.50416 2.24707 --1.53641 1.11732 1.59198 -1.98534 --1.53641 1.11732 -0.0878211 -0.261733 -0.842958 -1.9693 -3.15955 0.630994 -0.842958 -1.9693 3.00963 -0.472396 -0.842958 -1.9693 0.149914 -0.158598 --1.15414 -0.493976 1.39192 0.655346 --1.15414 -0.493976 -1.02418 -1.06674 --1.15414 -0.493976 -0.36774 0.411397 -1.37191 -0.560808 -0.768419 -1.32053 --1.47048 0.283949 1.94522 -0.459628 --1.47048 0.283949 -1.53999 0.651012 --1.47048 0.283949 -0.405229 -0.191384 --1.93747 -1.15792 -2.30058 -2.53834 --1.93747 -1.15792 2.39363 2.36611 -1.91294 0.355244 0.853384 -2.66306 -1.91294 0.355244 -0.606698 2.5707 -0.745014 -1.2716 -1.91337 0.148756 -0.936624 -0.0678365 0.424562 1.10433 --0.84411 -0.91369 -0.48602 -1.56077 --0.84411 -0.91369 0.619937 0.849955 --0.84411 -0.91369 -0.133917 0.71082 -0.884431 0.0105553 0.373101 -1.04412 -0.884431 0.0105553 0.352754 1.04085 -0.884431 0.0105553 -0.725855 0.00326701 --0.585385 1.76132 0.65141 2.50469 --0.585385 1.76132 -0.882926 -2.3345 --0.585385 1.76132 0.231516 -0.170191 -0.927229 -1.49401 -2.40879 0.0203868 -0.927229 -1.49401 2.2709 0.267524 --0.0227448 1.18057 -1.15786 -0.972173 --0.0227448 1.18057 0.543134 1.11298 --0.0227448 1.18057 0.614721 -0.140812 -0.21334 -0.837308 -1.06791 0.489302 -0.21334 -0.837308 0.811611 0.315581 -0.294797 0.209821 0.49509 -0.540644 -0.294797 0.209821 -0.699238 -0.12379 -0.294797 0.209821 0.204148 0.664434 --0.95823 -1.15504 -0.497823 -1.96742 --0.95823 -1.15504 0.415308 1.4993 --0.95823 -1.15504 0.082515 0.468118 --0.0797966 1.14945 -1.07239 -0.985949 --0.0797966 1.14945 0.469924 1.16649 --0.0797966 1.14945 0.60247 -0.18054 --1.05882 -1.91161 0.111956 0.177365 --0.682903 -1.87514 0.640206 -2.80664 --0.682903 -1.87514 -0.832465 2.64713 -1.40805 -0.681268 1.33516 1.66644 -1.40805 -0.681268 -1.06892 -1.32955 -1.40805 -0.681268 -0.266245 -0.336889 --1.1807 -1.19184 -0.824531 -2.17366 --1.1807 -1.19184 0.828447 1.81139 --1.1807 -1.19184 -0.00391545 0.362273 -1.95367 1.43706 3.10126 -2.27154 -1.95367 1.43706 -3.05092 2.10906 --1.52051 1.67389 -1.08191 3.32066 --1.52051 1.67389 1.0634 -3.1254 --0.964693 1.27167 -0.422231 2.14838 --0.964693 1.27167 0.308909 -1.75536 --0.964693 1.27167 0.113322 -0.393014 -1.73503 -1.41896 2.89582 1.82651 -1.73503 -1.41896 -2.85702 -1.63135 -1.13902 0.0836207 0.414942 -1.34459 -1.13902 0.0836207 0.20061 1.29964 -1.13902 0.0836207 -0.615553 0.0449512 -0.64375 -1.63542 -2.38558 0.611829 -0.64375 -1.63542 2.15053 -0.385002 -0.64375 -1.63542 0.235055 -0.226827 -1.43135 -1.79068 3.3655 0.871489 -1.43135 -1.79068 -3.4073 -0.686434 -1.43135 -1.79068 0.0418003 -0.185055 --0.906847 0.0818605 1.21711 -0.0881698 --0.906847 0.0818605 -0.641412 0.659493 --0.906847 0.0818605 -0.575695 -0.571323 -1.27875 0.206159 0.571272 -1.55073 -1.27875 0.206159 -0.0371375 1.43182 -1.27875 0.206159 -0.534135 0.118911 -1.40881 -1.93542 -3.68688 -0.502826 -1.40881 -1.93542 3.63348 0.66857 -1.40881 -1.93542 0.0534034 -0.165744 -1.78694 -1.78645 3.7125 1.61516 -1.78694 -1.78645 -3.71263 -1.4587 --1.95125 -0.615301 2.72261 1.23288 --1.95125 -0.615301 -2.5284 -1.3705 -1.99287 -1.90394 4.16923 1.95972 -1.99287 -1.90394 -4.16331 -1.82828 -1.99287 -1.90394 -0.00591445 -0.131442 --1.23266 -0.0804716 1.61944 0.112164 --1.23266 -0.0804716 -0.941924 -0.410962 --1.23266 -0.0804716 -0.677511 0.298798 --0.236894 0.871717 0.104878 1.13221 --0.236894 0.871717 -0.74896 -0.808407 --0.236894 0.871717 0.644082 -0.323805 -0.180257 -1.33324 -1.51686 0.931282 -0.180257 -1.33324 0.917251 -0.846477 -0.180257 -1.33324 0.599613 -0.084805 -1.39982 0.405593 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1.27112 -1.44204 -1.39654 -2.60471 -1.02423 -1.44204 -1.39654 -0.00648182 -0.246884 --1.39791 0.620612 1.69009 -0.980693 --1.39791 0.620612 -1.41862 1.28628 --1.55313 0.330083 2.07115 -0.558343 --1.55313 0.330083 -1.71532 0.733821 -1.301 -0.606245 1.17696 1.52223 -1.301 -0.606245 -0.826178 -1.11489 -1.301 -0.606245 -0.350785 -0.407334 -0.359739 -0.820907 -1.13883 0.352573 -0.359739 -0.820907 0.900551 0.379051 -0.359739 -0.820907 0.238276 -0.731624 --1.54582 -0.671984 1.91668 1.1518 --1.54582 -0.671984 -1.68375 -1.40462 --0.535091 0.302823 -0.379366 0.827717 --0.535091 0.302823 0.855997 -0.234764 --0.535091 0.302823 -0.476631 -0.592952 -1.44538 -1.35849 2.54287 1.30967 -1.44538 -1.35849 -2.52892 -1.05705 --0.903004 -0.204215 1.1965 0.21849 --0.903004 -0.204215 -0.674525 -0.757602 -1.26421 -0.0120241 0.290121 1.50111 -1.26421 -0.0120241 0.255272 -1.49444 --1.73631 -1.39327 -1.73607 -2.91641 --1.73631 -1.39327 1.78051 2.71958 --0.438283 1.75442 0.861851 2.30459 --0.438283 1.75442 -1.12798 -2.16349 --0.438283 1.75442 0.266131 -0.141106 -0.518251 1.68784 -2.33607 -0.858922 -0.518251 1.68784 2.06793 0.673173 -0.518251 1.68784 0.268136 0.185749 --1.79507 0.589089 2.42199 -1.11664 --1.79507 0.589089 -2.19938 1.28347 --0.233512 -1.55995 -1.2433 1.64392 --0.233512 -1.55995 0.873702 -1.7643 -0.00967196 -1.15352 -1.16793 0.91685 -0.00967196 -1.15352 0.524052 -1.05639 -0.00967196 -1.15352 0.643877 0.139542 --0.402266 -0.993099 0.0620215 -1.35833 --0.402266 -0.993099 -0.625323 0.991263 --0.402266 -0.993099 0.563301 0.367066 --1.51365 -1.90386 -0.854257 -3.77976 --1.51365 -1.90386 0.816073 3.61474 --0.831944 1.08608 -0.36521 1.7827 --0.831944 1.08608 0.178196 -1.18243 --0.831944 1.08608 0.187015 -0.600265 -1.94403 1.76848 3.81903 -1.97598 -1.94403 1.76848 -3.80552 1.8319 -1.94403 1.76848 -0.013506 0.14408 --1.39724 -0.828099 -1.37098 -1.65465 --1.39724 -0.828099 1.55359 1.33384 --1.58506 0.557943 2.04382 -0.967492 --1.58506 0.557943 -1.7766 1.18972 -1.32163 0.76392 1.43288 -1.49138 -1.32163 0.76392 -1.22137 1.09403 -1.76222 -1.26761 2.60898 1.99409 -1.76222 -1.26761 -2.54223 -1.79232 -1.76222 -1.26761 -0.0667456 -0.20177 --0.8853 -0.836426 -0.577424 -1.48008 --0.8853 -0.836426 0.777642 0.841832 --0.8853 -0.836426 -0.200217 0.638253 --0.0658302 -1.78217 -1.73602 1.77373 --0.0658302 -1.78217 1.42447 -1.80194 --0.0658302 -1.78217 0.311552 0.0282055 -0.707238 0.42563 0.764103 -0.835191 -0.707238 0.42563 -0.895956 0.032617 --1.41354 0.919429 -1.36765 1.82363 --1.41354 0.919429 1.51376 -1.51002 -0.0205941 1.05418 -1.09611 -0.812748 -0.0205941 1.05418 0.408908 1.00336 -0.0205941 1.05418 0.687205 -0.190612 --1.17088 -0.0374839 -0.815437 -0.441181 --0.865485 -1.90104 0.365718 -3.07339 --0.865485 -1.90104 -0.517053 2.90155 -1.22355 -1.25912 2.17722 0.998873 -1.22355 -1.25912 -2.19003 -0.679492 -1.22355 -1.25912 0.0128105 -0.319382 --0.508685 0.775067 -0.183602 1.2243 --0.508685 0.775067 -0.494067 -0.783784 --0.508685 0.775067 0.677669 -0.440516 --0.0394813 1.9627 -2.00917 -2.0036 --0.0394813 1.9627 1.75037 2.01628 -1.73094 -1.97473 4.06489 1.30553 -1.73094 -1.97473 -4.08392 -1.16193 -1.73094 -1.97473 0.0190303 -0.143603 --0.386978 1.73848 -1.195 -2.08107 --0.386978 1.73848 0.914367 2.21273 --0.386978 1.73848 0.280635 -0.131658 --1.99035 -1.84044 -1.9424 -4.08292 --1.99035 -1.84044 1.95315 3.9472 -1.78043 0.318716 0.770538 -2.4062 -1.78043 0.318716 -0.483947 2.3049 -1.78043 0.318716 -0.286591 0.101293 --1.78536 -1.90784 -1.42558 -4.04896 --1.78536 -1.90784 1.41596 3.90266 --0.313475 -1.13569 0.271579 -1.41096 --0.313475 -1.13569 -0.794158 1.12714 --0.313475 -1.13569 0.522579 0.283818 --0.629738 0.876966 -0.249482 1.39706 --0.629738 0.876966 -0.363887 -0.856038 --0.629738 0.876966 0.613369 -0.541021 --1.49218 -0.112571 -1.54673 -0.273221 --0.534179 1.59323 -0.801049 -1.99026 -1.81804 -0.0478958 0.243811 2.47158 -1.81804 -0.0478958 0.0538231 -2.45666 --1.80108 -0.928346 -2.1163 -1.99081 --1.80108 -0.928346 2.2569 1.79397 -0.531182 -1.36298 -1.88062 0.525707 -0.531182 -1.36298 1.55068 -0.177119 --1.59642 1.64068 -1.26323 3.31826 --1.59642 1.64068 1.25837 -3.12705 --0.744967 -1.87753 0.541192 -2.88776 --0.744967 -1.87753 -0.720028 2.72144 -1.21865 -0.891846 1.57931 1.26167 -1.21865 -0.891846 -1.46954 -0.833281 --0.810017 1.76694 0.302338 2.78263 --0.810017 1.76694 -0.476703 -2.58402 --0.810017 1.76694 0.174365 -0.198605 --0.187982 1.52494 -1.27268 -1.54799 --0.187982 1.52494 0.879197 1.65793 -0.776739 -1.00154 -1.5352 -0.0459864 -0.776739 -1.00154 1.40495 0.573901 -0.776739 -1.00154 0.130256 -0.527915 --1.81991 -1.8689 -1.53699 -3.99556 --1.81991 -1.8689 1.5332 3.84852 -1.28126 -0.00269397 -0.535956 -0.00148961 -1.10308 -0.572659 1.06059 1.24593 -1.10308 -0.572659 -0.817913 -0.484743 -1.10308 -0.572659 -0.242681 -0.761187 -1.01828 0.224206 0.598007 -1.20323 -1.01828 0.224206 0.099426 1.09499 -1.01828 0.224206 -0.697433 0.108241 -1.84476 0.873394 -1.71383 2.19858 --1.6752 -1.72048 -1.35813 -3.54962 --1.6752 -1.72048 1.35374 3.37597 --1.6752 -1.72048 0.00438993 0.173655 -0.745851 1.97196 -3.05337 -0.805787 -0.745851 1.97196 2.88486 0.655684 -0.745851 1.97196 0.168509 0.150103 --1.20812 1.22744 -0.847318 2.25156 --1.20812 1.22744 0.847415 -1.90877 --1.20812 1.22744 -9.75299e-005 -0.342795 --1.25151 1.9722 -0.260647 3.64339 --1.25151 1.9722 0.182143 -3.47737 --1.25151 1.9722 0.0785038 -0.166017 -0.765076 -1.47099 -2.23752 0.269762 -0.765076 -1.47099 2.03848 0.031239 -0.765076 -1.47099 0.199047 -0.301001 --1.98154 0.992523 -2.47388 2.20047 --1.98154 0.992523 2.59542 -2.03808 --1.98154 0.992523 -0.121539 -0.162393 --0.823329 -1.49385 -0.0105216 -2.36379 --0.823329 -1.49385 -0.181145 2.07525 --0.823329 -1.49385 0.191666 0.288539 --1.44629 1.87892 -0.742272 3.66238 --1.44629 1.87892 0.696601 -3.49004 --0.460934 1.67164 0.721235 2.21525 --0.460934 1.67164 -1.00233 -2.04973 --1.02246 -1.503 -0.319293 -2.56666 --1.02246 -1.503 0.204294 2.28232 -1.85206 -0.872222 1.86799 2.4006 -1.85206 -0.872222 -1.71491 -2.21547 --0.277067 1.01518 0.189793 1.27275 --0.277067 1.01518 -0.774705 -0.967418 --0.277067 1.01518 0.584911 -0.305332 --1.08812 0.657406 -0.9132 1.29958 --1.08812 0.657406 1.19956 -0.832056 -0.101133 1.67562 -1.82948 -1.42057 -0.101133 1.67562 1.47282 1.38658 -0.101133 1.67562 0.356663 0.0339955 --0.978833 0.709139 -0.748242 1.34547 --0.978833 0.709139 1.01959 -0.805653 --0.978833 0.709139 -0.271344 -0.539821 --1.20066 -1.83097 -0.314275 -3.32023 --1.20066 -1.83097 0.230367 3.1285 --1.20066 -1.83097 0.0839082 0.191727 --1.35796 0.124616 1.79747 -0.188506 --1.35796 0.124616 -1.23712 0.359057 --1.83941 0.783934 2.41732 -1.52324 --1.83941 0.783934 -2.24578 1.70276 -1.35982 1.23324 2.24529 -1.2564 -1.35982 1.23324 -2.22023 0.962624 -1.35982 1.23324 -0.0250592 0.293774 --1.62772 -0.920863 -1.76964 -1.90904 --1.62772 -0.920863 1.91659 1.6674 --0.00312627 -0.521093 -0.724637 0.45489 --0.00312627 -0.521093 0.0571012 -0.805661 -1.71848 -0.619162 1.32831 2.23516 -1.71848 -0.619162 -1.09291 -2.04428 -1.71848 -0.619162 -0.235398 -0.19088 --1.74456 -1.26773 -1.83273 -2.66263 --1.74456 -1.26773 1.89994 2.45871 -0.23364 -1.84526 -2.22779 1.4615 -0.23364 -1.84526 1.9444 -1.39119 --1.14098 0.382178 1.42545 -0.500019 --1.14098 0.382178 -0.993173 0.90549 --1.14098 0.382178 -0.43228 -0.405471 -1.79276 -0.836292 1.77109 2.2991 -1.79276 -0.836292 -1.60532 -2.10174 -1.97196 1.3757 2.98232 -2.35568 -1.97196 1.3757 -2.92286 2.19308 -1.97196 1.3757 -0.0594626 0.162605 -1.2385 0.84003 -1.36634 0.887889 -1.19271 1.66041 -2.9348 0.324563 -1.19271 1.66041 2.85939 -0.55007 --1.76546 0.310959 2.45629 -0.577571 --1.76546 0.310959 -2.16409 0.689201 --1.497 1.39003 -1.26006 2.74508 --1.497 1.39003 1.27927 -2.50542 --1.497 1.39003 -0.0192112 -0.239653 --0.865776 1.63891 0.0705375 2.63536 --0.865776 1.63891 -0.238231 -2.39637 -0.526617 -1.42012 -1.95566 0.581904 -0.526617 -1.42012 1.6305 -0.272191 -0.526617 -1.42012 0.32516 -0.309713 --1.26984 -1.85588 -0.419412 -3.43883 --1.26984 -1.85588 0.347244 3.25407 -0.621884 -0.214269 0.553936 0.802099 -0.621884 -0.214269 0.240826 -0.814057 --1.55704 0.290819 2.08799 -0.492325 --1.55704 0.290819 -1.71971 0.652113 -0.313738 -1.76868 -2.21972 1.25124 -0.313738 -1.76868 1.92332 -1.14469 --0.930659 -1.36381 -0.294851 -2.26259 --0.930659 -1.36381 0.151479 1.91404 --0.514192 1.06971 0.0109903 1.52576 --0.514192 1.06971 -0.498454 -1.11831 -1.79107 0.955376 2.00404 -2.24006 -1.79107 0.955376 -1.86836 2.03684 -1.79107 0.955376 -0.135679 0.203218 --1.25938 -1.1134 -1.00492 -2.08911 --1.25938 -1.1134 1.05774 1.73641 --1.25938 -1.1134 -0.0528137 0.352701 --0.637374 -0.239883 0.942673 0.20295 --0.637374 -0.239883 -0.4653 -0.799127 --0.977973 -0.987599 -0.630201 -1.73421 --0.977973 -0.987599 0.678928 1.18471 --0.977973 -0.987599 -0.0487265 0.549497 --0.532986 0.854889 -0.161227 1.31606 --0.588518 1.85101 0.760604 2.64777 --0.588518 1.85101 -0.976068 -2.49699 --0.455004 -0.831403 -0.100721 -1.24575 --0.455004 -0.831403 -0.54153 0.831128 --0.455004 -0.831403 0.642251 0.414618 -1.25947 -1.68629 -3.04326 -0.431919 -1.25947 -1.68629 2.97978 0.647316 -1.25947 -1.68629 0.0634827 -0.215397 -0.610154 -1.20143 -1.72098 0.293969 -0.610154 -1.20143 1.45504 0.161243 -0.610154 -1.20143 0.265939 -0.455212 --1.82037 0.117593 2.58994 -0.2225 --1.82037 0.117593 -2.28808 0.263801 --1.82037 0.117593 -0.301864 -0.0413014 -1.07387 1.62001 -2.75586 0.135613 -1.07387 1.62001 2.65484 -0.378093 -1.72497 -1.58507 3.2294 1.66782 -1.72497 -1.58507 -3.21445 -1.48644 -1.8882 -0.236239 0.613753 2.6205 -1.8882 -0.236239 -0.347474 -2.55513 -1.8882 -0.236239 -0.266279 -0.0653774 -0.987037 -0.407183 0.815004 1.14318 --0.391306 -1.66754 0.813294 -2.11895 --0.391306 -1.66754 -1.1121 1.97087 --0.391306 -1.66754 0.298802 0.148077 -1.98872 -1.7676 3.85735 2.0766 -1.98872 -1.7676 -3.84092 -1.93636 -1.98872 -1.7676 -0.0164282 -0.140241 --0.156282 -0.116703 -0.180161 -0.554955 --0.156282 -0.116703 0.566138 0.127275 -1.16396 -1.17634 1.98933 0.970571 -1.16396 -1.17634 -1.99956 -0.613251 --0.187078 -1.43831 -1.18948 1.42799 --0.187078 -1.43831 0.75853 -1.55846 --0.696734 0.555632 -0.424683 -0.628375 -0.416455 1.89517 -2.53343 -1.25446 -0.416455 1.89517 2.28984 1.14215 --1.86286 1.18293 -2.12779 2.55255 --1.86286 1.18293 2.21542 -2.36744 --0.57267 -1.45329 0.308174 -2.04666 --0.57267 -1.45329 -0.610086 1.78377 --1.16698 -0.741489 -1.01209 -1.44368 --1.16698 -0.741489 1.24379 1.01328 -0.266918 0.0254697 0.337305 -0.557545 -0.266918 0.0254697 0.297561 0.575489 -0.266918 0.0254697 -0.634866 -0.0179446 --0.575894 -1.98067 0.952266 -2.83893 --0.575894 -1.98067 -1.14983 2.71411 -0.0450595 1.09739 -1.15429 -0.832445 -0.0450595 1.09739 0.466909 0.989824 -0.0450595 1.09739 0.687381 -0.157379 -0.493899 -0.453752 0.724083 0.64112 -0.493899 -0.453752 -0.894988 0.108846 --1.19385 -0.709251 -1.0619 -1.39997 --1.19385 -0.709251 1.3095 0.986366 --1.19385 -0.709251 -0.247599 0.413602 -0.545688 -1.59616 -2.2275 0.722169 -0.545688 -1.59616 1.94848 -0.497516 -0.545688 -1.59616 0.279022 -0.224653 -1.52575 0.907471 1.77727 -1.76574 -1.52575 0.907471 -1.62668 1.481 -1.52575 0.907471 -0.150585 0.284735 --1.40689 0.508899 1.76229 -0.802412 --1.40689 0.508899 -1.44224 1.08642 --1.40689 0.508899 -0.320054 -0.28401 --0.293484 1.28317 0.449913 1.53173 --0.293484 1.28317 -0.915279 -1.30726 --0.293484 1.28317 0.465366 -0.224469 --1.31537 0.66903 -1.26814 1.35825 --1.31537 0.66903 1.52637 -1.00947 --1.31537 0.66903 -0.25823 -0.348783 --0.397158 1.97171 -1.451 -2.48039 --0.397158 1.97171 1.22485 2.57569 --1.61008 1.67016 -1.26632 3.38989 --1.61008 1.67016 1.25982 -3.20378 --1.61008 1.67016 0.00650197 -0.186107 --0.795488 -1.17061 -0.254353 -1.87148 --0.795488 -1.17061 0.0200042 1.38301 --0.795488 -1.17061 0.234349 0.488476 --0.279262 1.44886 -1.07069 -1.52748 --0.279262 1.44886 0.669392 1.69367 --0.279262 1.44886 0.401299 -0.166191 --0.275521 -1.26975 -0.929588 1.27615 --0.275521 -1.26975 0.452324 -1.49747 --1.03851 1.7041 -0.152015 2.92405 --1.03851 1.7041 0.0349334 -2.70049 --1.77496 -1.44477 -1.78142 -3.05009 --1.77496 -1.44477 1.82075 2.86323 --0.309908 -1.41116 -0.993469 1.49994 --0.309908 -1.41116 0.586329 -1.68942 --1.71176 1.63163 -1.5087 3.39416 --1.71176 1.63163 1.51763 -3.21532 --1.71176 1.63163 -0.00893285 -0.178843 -0.750266 -1.03492 -1.57109 0.00565856 -0.750266 -1.03492 1.41957 0.511779 -1.07019 1.19752 1.94177 -0.803022 -1.07019 1.19752 -1.98827 0.430189 --1.68022 -0.867652 -1.89278 -1.823 --1.68022 -0.867652 2.05338 1.59784 --1.68022 -0.867652 -0.160602 0.225165 --0.491717 1.56739 0.548755 2.10846 --0.491717 1.56739 -0.848304 -1.90637 --0.491717 1.56739 0.29955 -0.202093 -0.921052 1.9377 -3.18873 -0.454592 -0.921052 1.9377 3.05235 0.285452 -1.66322 -0.621297 1.3161 2.13185 -1.66322 -0.621297 -1.07061 -1.92362 -1.66322 -0.621297 -0.245491 -0.208224 -0.857475 -1.62411 -2.57098 0.251824 -0.857475 -1.62411 2.40773 -0.00578166 --1.90785 0.923077 -2.34302 2.02089 --1.90785 0.923077 2.48049 -1.84724 -0.450753 -1.39385 1.4674 -0.350722 -0.351234 0.285907 0.563022 -0.572071 -0.351234 0.285907 -0.758149 -0.134294 -1.99263 -1.94198 4.25569 1.92251 -1.99263 -1.94198 -4.25244 -1.79345 -0.705125 0.886826 -1.35564 -0.00930713 -0.705125 0.886826 1.21743 -0.592315 --1.33401 -1.62284 -0.764474 -3.05816 --1.33401 -1.62284 0.720511 2.83457 --1.33401 -1.62284 0.0439626 0.223581 -0.449155 1.65883 -2.21821 -0.929712 -0.449155 1.65883 1.92035 0.752838 -1.09023 -0.751645 1.30126 1.15096 -1.09023 -0.751645 -1.17564 -0.584042 -1.09023 -0.751645 -0.12562 -0.566917 -0.134718 -0.0116798 0.268879 0.438465 -0.134718 -0.0116798 0.242619 -0.452892 -0.134718 -0.0116798 -0.511498 0.0144273 -0.878819 -1.55757 -2.47684 0.156237 -0.878819 -1.55757 2.32039 0.111621 --0.722187 -0.0291369 1.03585 0.0268461 --0.722187 -0.0291369 -0.520865 -0.668703 --0.722187 -0.0291369 -0.514987 0.641857 -1.11721 -0.25657 0.641714 1.32632 -1.11721 -0.25657 0.0011836 -1.17993 -1.11721 -0.25657 -0.642897 -0.146391 --1.53636 -1.10348 -1.51128 -2.22065 --1.53636 -1.10348 1.60296 1.95788 --0.466337 -0.634951 -0.214513 -1.07654 --0.466337 -0.634951 -0.52084 0.688036 --0.466337 -0.634951 0.735352 0.388502 --0.773016 1.8189 0.423898 2.82483 --0.773016 1.8189 -0.602523 -2.64245 --1.47003 -1.76787 -0.896604 -3.46291 --1.47003 -1.76787 0.862072 3.27636 --1.68745 0.898814 -1.89608 1.8878 --1.68745 0.898814 2.04785 -1.66348 -1.15405 0.500437 0.976916 -1.33829 -1.15405 0.500437 -0.323687 0.932966 -1.15405 0.500437 -0.653229 0.405321 --1.09202 -1.0121 -0.787785 -1.83213 --1.09202 -1.0121 0.850833 1.37465 --1.33476 -1.41632 -0.935987 -2.67539 --1.33476 -1.41632 0.921649 2.40963 --1.33476 -1.41632 0.0143383 0.26576 -0.445488 -1.28638 -1.70732 0.574238 -0.445488 -1.28638 1.29959 -0.166211 --0.91296 -0.323967 1.17611 0.347861 --0.91296 -0.323967 -0.704436 -0.871583 --0.91296 -0.323967 -0.471671 0.523722 -0.938567 -0.328004 0.712658 1.10041 -0.938567 -0.328004 0.06093 -0.963363 -0.938567 -0.328004 -0.773588 -0.137047 --1.83384 0.791989 -0.17016 -0.181455 --1.71413 1.98874 -1.19313 4.15658 --1.71413 1.98874 1.17176 -4.01293 --0.689315 -1.49454 0.189393 -2.22869 --0.689315 -1.49454 -0.43584 1.95666 --0.372654 -0.374332 -0.23861 -0.833714 --0.372654 -0.374332 0.749852 0.262309 --0.372654 -0.374332 -0.511243 0.571405 -1.35796 -1.26317 2.29691 1.22903 -1.35796 -1.26317 -2.27924 -0.940853 -1.48354 1.65945 3.15701 -1.10895 -1.48354 1.65945 -3.17973 0.909089 --1.64389 -0.0137106 2.27274 0.0240933 --1.64389 -0.0137106 -1.89021 -0.0312908 --1.64389 -0.0137106 -0.382531 0.00719744 -1.62432 -0.58875 1.24566 2.07027 -1.62432 -0.58875 -0.980806 -1.85606 -1.62432 -0.58875 -0.264853 -0.214205 -1.88346 0.136228 0.413793 -2.60931 -1.88346 0.136228 -0.138844 2.57084 -1.88346 0.136228 -0.274949 0.0384731 --0.396288 1.44762 0.528611 1.83813 --0.396288 1.44762 -0.895001 -1.62791 -0.968255 -1.09257 1.69431 0.743576 -0.968255 -1.09257 -1.75588 -0.30517 -0.968255 -1.09257 0.061563 -0.438406 -1.76751 -1.3682 2.81715 1.93188 -1.76751 -1.3682 -2.76767 -1.73787 --0.511219 0.990074 -0.0478511 1.43912 --0.511219 0.990074 -0.491113 -1.00843 --0.511219 0.990074 0.538964 -0.43069 --1.94425 1.26688 -2.25562 2.77798 --1.94425 1.26688 2.33086 -2.60856 --1.94425 1.26688 -0.0752406 -0.169423 --1.41714 -1.3577 -1.13132 -2.62727 --1.41714 -1.3577 1.14442 2.36661 --1.41714 -1.3577 -0.0130984 0.260662 --0.945083 -1.22016 -0.431552 -2.0553 --0.945083 -1.22016 0.317986 1.62672 -1.10216 0.454396 0.901063 -1.27918 -1.10216 0.454396 -0.192481 0.96279 -1.10216 0.454396 -0.708581 0.316392 --0.534195 1.66914 0.613067 2.30374 --0.534195 1.66914 -0.875858 -2.12037 --0.534195 1.66914 0.262792 -0.183374 -1.08549 -0.714979 1.24808 1.16273 -1.08549 -0.714979 -1.10527 -0.5659 -1.08549 -0.714979 -0.142806 -0.596825 -0.178579 1.08896 -1.26509 -0.705054 -0.178579 1.08896 0.473024 0.825128 -0.178579 1.08896 0.792064 -0.120074 -1.97863 -1.6865 3.66742 2.12537 -1.97863 -1.6865 -3.64417 -1.9793 -1.92894 -0.283191 0.709489 2.70072 -1.92894 -0.283191 -0.458176 -2.62743 -1.65238 -1.95818 3.94637 1.15308 -1.65238 -1.95818 -3.97199 -1.00313 --1.80126 1.83767 0.00289096 -0.151147 -1.05915 -1.85632 -3.1823 0.113153 -1.05915 -1.85632 3.07197 0.0753528 -1.05915 -1.85632 0.110326 -0.188506 -0.631576 -0.43036 0.746359 0.763689 -0.820167 -0.123158 0.486719 0.989595 -0.820167 -0.123158 0.266601 -0.961319 --1.66366 -0.503701 2.20864 0.902431 --1.66366 -0.503701 -1.93931 -1.08888 --1.66366 -0.503701 -0.269334 0.186449 -1.22959 -0.576267 1.1081 1.42419 -1.22959 -0.576267 -0.678437 -0.93387 -1.22959 -0.576267 -0.429666 -0.490316 -0.486015 -0.719521 -1.10218 0.191431 -0.486015 -0.719521 0.919544 0.520182 -0.486015 -0.719521 0.182636 -0.711613 -0.782963 0.533732 0.8973 -0.875144 -0.782963 0.533732 -0.969666 0.103262 -1.24168 -0.973685 1.72233 1.24654 -1.24168 -0.973685 -1.64271 -0.853626 -1.98475 -0.103502 0.341404 2.81412 -1.98475 -0.103502 -0.0914206 -2.78868 --0.202894 -1.33536 -1.07672 1.30533 --0.202894 -1.33536 0.604235 -1.47301 --0.202894 -1.33536 0.47249 0.167679 -0.26365 -1.27644 0.794835 -0.585951 -0.26365 -1.27644 0.740194 -0.197042 --0.185204 0.692671 0.683396 -0.331474 --0.787232 1.04447 0.031628 -1.02223 --0.787232 1.04447 0.302042 -0.674886 -1.72669 0.331036 0.789996 -2.30347 -1.72669 0.331036 -0.488935 2.18993 -1.72669 0.331036 -0.301061 0.113538 --0.134572 -1.59679 -1.42258 1.59216 --0.134572 -1.59679 1.04867 -1.66633 --1.41389 -1.89703 -0.659206 -3.66621 --1.41389 -1.89703 0.607942 3.49465 --1.41389 -1.89703 0.051264 0.171568 -1.2484 0.581939 1.12263 -1.4503 -1.2484 0.581939 -0.716488 0.988021 -1.2484 0.581939 -0.406142 0.462278 -0.806591 -1.381 -2.12729 0.132007 -0.806591 -1.381 1.94882 0.206735 -0.806591 -1.381 0.178471 -0.338742 -1.46785 -1.71902 3.25992 1.01845 -1.46785 -1.71902 -3.29063 -0.825794 -0.900219 1.9763 -3.23636 -0.535145 -0.900219 1.9763 3.0978 0.374467 -0.900219 1.9763 0.138553 0.160678 --1.66847 -1.58458 -1.45629 -3.26186 --1.66847 -1.58458 1.4665 3.07295 --1.53305 1.985 -0.812622 3.96677 --1.53305 1.985 0.772349 -3.81272 --1.53305 1.985 0.0402723 -0.154048 --1.45495 -1.00452 1.52386 1.70116 --0.554118 0.243372 0.877463 -0.194251 --0.554118 0.243372 -0.405551 0.788919 --0.554118 0.243372 -0.471912 -0.594668 --1.47254 1.40035 -1.20573 2.7474 --1.47254 1.40035 1.21936 -2.50465 -0.043946 0.146197 -0.488765 -0.221569 -0.043946 0.146197 0.435248 -0.308793 -0.043946 0.146197 0.0535177 0.530362 -1.48707 0.74143 1.46788 -1.77592 -1.48707 0.74143 -1.24408 1.47693 -0.0581955 -1.10187 -1.17033 0.825385 -0.0581955 -1.10187 0.476401 -0.975163 -1.83105 -1.17595 2.46889 2.19454 -1.83105 -1.17595 -2.38144 -2.00168 -1.83105 -1.17595 -0.0874507 -0.192865 --1.9399 -0.170925 -2.55476 -0.385828 -0.213641 1.14946 -1.35431 -0.722367 -0.213641 1.14946 0.54627 0.766521 -0.213641 1.14946 0.808036 -0.044154 -0.255504 1.43823 -1.71639 -0.952778 -0.255504 1.43823 1.23489 0.795323 --0.668959 1.72638 0.480154 2.55304 --0.668959 1.72638 -0.696291 -2.36025 --1.36766 0.935908 -1.27939 1.83455 --1.36766 0.935908 1.41712 -1.50341 --1.36766 0.935908 -0.137728 -0.331138 -1.84885 0.459769 1.05218 -2.52183 -1.84885 0.459769 -0.807069 2.39531 -1.49557 -1.3497 2.5679 1.41118 -1.49557 -1.3497 -2.54441 -1.16668 --1.69527 -0.349562 2.31703 0.631405 --1.69527 -0.349562 -2.01279 -0.770273 --0.649204 -1.59075 0.352589 -2.32518 --0.649204 -1.59075 -0.596721 2.09528 --1.41525 0.900415 -0.153536 -0.313416 -0.503213 -1.99027 -2.79189 1.23594 -0.503213 -1.99027 2.58188 -1.1222 -0.503213 -1.99027 0.21001 -0.113744 --0.533313 0.897197 -0.135024 1.35897 --0.533313 0.897197 -0.464245 -0.897536 -1.53212 0.834799 1.6511 -1.81339 -1.53212 0.834799 -1.47161 1.53043 -0.643243 -1.14026 -1.65943 0.209517 -0.643243 -1.14026 1.42606 0.276182 -0.643243 -1.14026 0.23337 -0.485699 -1.12762 -0.212709 0.0464577 -1.22142 --1.42378 -0.655293 1.7134 1.0536 --1.42378 -0.655293 -1.46001 -1.35214 --1.42378 -0.655293 -0.253388 0.298542 -0.739053 -0.777076 1.12825 0.706195 -0.739053 -0.777076 -1.22831 -0.0586973 -0.739053 -0.777076 0.100056 -0.647498 -0.274605 -1.52006 -1.83867 1.01658 -0.274605 -1.52006 1.42281 -0.87042 -0.274605 -1.52006 0.415852 -0.146162 --0.158106 1.65644 -1.45516 -1.70253 --0.158106 1.65644 1.10821 1.77675 --0.158106 1.65644 0.346947 -0.0742143 --1.41753 -1.38039 -1.11589 -2.67003 --1.41753 -1.38039 1.12441 2.41337 -1.29093 -1.38241 2.45175 1.00684 -1.29093 -1.38241 -2.47225 -0.73078 --1.07644 -0.369692 1.34759 0.458853 --1.07644 -0.369692 -0.902549 -0.9006 --1.07644 -0.369692 -0.445039 0.441747 --1.50612 -0.607674 1.88076 1.0171 --1.50612 -0.607674 -1.61877 -1.27621 --1.50612 -0.607674 -0.261993 0.259112 -0.993935 -1.23296 1.92551 0.652059 -0.993935 -1.23296 -2.00756 -0.2765 -0.993935 -1.23296 0.082046 -0.375559 --0.780558 -0.996516 -0.356067 -1.63082 --0.780558 -0.996516 -0.0598119 0.897745 --0.780558 -0.996516 0.415879 0.73308 --0.353701 1.96979 -1.52172 -2.42308 --0.353701 1.96979 1.28954 2.50988 --0.712931 1.28356 -0.0486393 1.95662 --0.712931 1.28356 -0.227553 -1.57437 --0.712931 1.28356 0.276192 -0.382252 -1.33806 1.07144 1.94846 -1.33925 -1.33806 1.07144 -1.88177 1.0061 -1.33806 1.07144 -0.0666902 0.33316 --1.65592 1.68184 -1.35091 3.45272 --1.65592 1.68184 1.34841 -3.2729 --1.87233 -0.437993 2.62719 0.849683 --1.87233 -0.437993 -2.38619 -0.972052 --1.87233 -0.437993 -0.240992 0.122369 --0.465021 1.75008 0.817061 2.33361 --0.465021 1.75008 -1.07848 -2.18536 --0.937075 -0.859572 -0.636277 -1.53407 --0.937075 -0.859572 0.80395 0.937008 -1.05762 0.448679 0.882979 -1.2221 -1.05762 0.448679 -0.129512 0.936928 -1.05762 0.448679 -0.753467 0.285168 -1.42371 1.12983 2.10991 -1.44721 -1.42371 1.12983 -2.04566 1.15149 -1.86452 -1.16637 2.47021 2.26899 -1.86452 -1.16637 -2.38003 -2.08229 -1.39305 -0.996758 1.85727 1.4823 -1.39305 -0.996758 -1.75378 -1.15501 -1.39305 -0.996758 -0.103487 -0.327295 -1.44522 0.261144 0.654552 -1.81079 -1.44522 0.261144 -0.224036 1.6772 -1.44522 0.261144 -0.430516 0.133592 -1.98207 1.86298 4.06609 -1.97404 -1.98207 1.86298 -4.05783 1.83921 -1.98207 1.86298 -0.00825673 0.134829 -1.71437 0.781196 1.63239 -2.17119 -1.71437 0.781196 -1.44488 1.95633 -1.09537 0.740233 1.28798 -1.16396 -1.09537 0.740233 -1.15229 0.591973 -1.75795 1.71825 3.53913 -1.61716 -1.75795 1.71825 -3.53558 1.45191 -0.59984 -1.88911 -2.74402 0.956353 -0.59984 -1.88911 2.53534 -0.807483 --0.837859 1.19039 -0.297998 1.93128 --0.837859 1.19039 0.105444 -1.46034 --0.837859 1.19039 0.192555 -0.470936 -1.16232 -0.378218 0.809443 1.37543 -1.16232 -0.378218 -0.186361 -1.12554 -1.16232 -0.378218 -0.623082 -0.24989 -1.63336 0.960145 1.9309 -1.93449 -1.63336 0.960145 -1.7957 1.68783 --0.530302 0.639925 -0.269255 1.10883 --0.530302 0.639925 0.754472 -0.417276 --0.530302 0.639925 -0.485217 -0.691552 --0.0631348 1.21997 -1.14787 -1.0488 --0.0631348 1.21997 0.570415 1.19139 --0.0631348 1.21997 0.577453 -0.142594 --1.75774 1.69668 -1.55248 3.56923 --1.75774 1.69668 1.55867 -3.40159 --1.75774 1.69668 -0.00618417 -0.167634 -0.573223 -1.47874 -2.0814 0.568603 -0.573223 -1.47874 1.79259 -0.284724 -0.573223 -1.47874 0.288806 -0.283878 -0.376261 1.11892 -1.45272 -0.52463 -0.376261 1.11892 1.04398 -0.0801546 --1.39541 -1.28345 -1.14171 -2.47473 --1.39541 -1.28345 1.1679 2.1963 --1.25047 -1.65876 -0.576182 -3.04936 --1.25047 -1.65876 0.511748 2.82532 --0.483931 1.21136 0.169997 1.6554 --0.483931 1.21136 -0.595482 -1.32169 -0.993322 -1.57583 -2.60678 -0.0274149 -0.993322 -1.57583 2.48584 0.286102 --0.560405 -0.659234 -0.289027 -1.13967 --0.560405 -0.659234 0.755941 0.439414 --0.560405 -0.659234 -0.466914 0.700251 -1.63571 -0.637441 1.33727 2.07662 -1.63571 -0.637441 -1.0918 -1.85594 -1.80824 -1.57114 3.27179 1.8543 -1.80824 -1.57114 -3.24783 -1.6818 -1.80824 -1.57114 -0.0239539 -0.172501 -0.84821 -1.82104 -2.90222 0.46088 -0.84821 -1.82104 2.74413 -0.269894 --1.38186 -1.94346 -0.547613 -3.72601 --1.38186 -1.94346 0.489595 3.55961 -1.62719 -1.58984 3.15238 1.46271 -1.62719 -1.58984 -3.14836 -1.26992 --1.29536 0.426318 -1.24171 0.948231 -0.914771 0.0633959 0.422256 -1.08104 -0.914771 0.0633959 0.295948 1.059 -0.914771 0.0633959 -0.718204 0.02204 -1.66489 1.34436 2.69134 -1.74329 -1.66489 1.34436 -2.64639 1.52964 -1.66489 1.34436 -0.0449498 0.213645 --1.12948 1.87586 -0.13438 3.32821 --1.12948 1.87586 0.0359418 -3.14374 --0.781389 1.24454 -0.175997 1.962 --0.781389 1.24454 -0.0605815 -1.53956 -1.63501 0.460203 1.01606 -2.11864 -1.63501 0.460203 -0.713949 1.94372 -1.33112 1.41758 2.55184 -1.04735 -1.33112 1.41758 -2.56961 0.785594 -1.33112 1.41758 0.0177709 0.261759 -1.01806 -1.73707 -2.92046 0.0729271 -1.01806 -1.73707 2.80173 0.142154 --1.73133 1.39836 -1.72236 2.92356 --1.73133 1.39836 1.76557 -2.72631 --0.92988 1.87021 0.217873 3.0953 --0.92988 1.87021 -0.357342 -2.91325 --0.92988 1.87021 0.139469 -0.182047 --1.12305 -1.05031 -0.815725 -1.90881 --1.12305 -1.05031 0.864929 1.47935 -0.968614 -0.588331 1.03119 1.06558 -0.968614 -0.588331 -0.961994 -0.313348 -0.0777307 -1.26915 -1.34416 0.972251 -0.0777307 -1.26915 0.730311 -1.00992 -0.0777307 -1.26915 0.613845 0.0376676 -0.904888 1.33218 -2.11867 0.0630827 -0.904888 1.33218 1.98614 -0.413366 --1.24403 0.887039 -1.08785 1.70189 --1.24403 0.887039 1.24124 -1.31221 --1.24403 0.887039 -0.153383 -0.389684 -0.711718 -1.60602 -2.40516 0.475671 -0.711718 -1.60602 2.19143 -0.23063 -1.76871 0.902775 1.88994 -2.22206 -1.76871 0.902775 -1.74022 2.01478 -1.97537 0.680945 1.52702 -2.72237 -1.97537 0.680945 -1.34531 2.58145 -1.97537 0.680945 -0.181714 0.140925 --0.066579 1.44674 -1.3551 -1.32121 --0.066579 1.44674 0.898625 1.39181 --0.066579 1.44674 0.456474 -0.070595 -0.302837 -0.329592 0.587301 0.528855 -0.302837 -0.329592 -0.759268 0.176942 -0.302837 -0.329592 0.171967 -0.705796 -0.374376 0.219141 0.223918 0.699003 -0.404709 -1.26897 -1.65137 0.61047 -0.404709 -1.26897 1.19775 -0.181216 -0.404709 -1.26897 0.453614 -0.429255 -1.74691 1.99598 4.12812 -1.31814 -1.74691 1.99598 -4.14698 1.17741 -1.74691 1.99598 0.0188619 0.140729 --0.265824 0.543038 -0.0976539 0.917437 --0.265824 0.543038 -0.604316 -0.59606 --0.265824 0.543038 0.70197 -0.321378 -0.231058 1.31598 -1.54845 -0.857451 -0.231058 1.31598 0.911781 0.707425 -0.231058 1.31598 0.63667 0.150026 --1.08013 0.362145 1.35506 -0.450855 --1.08013 0.362145 -0.905968 0.890012 --1.08013 0.362145 -0.449094 -0.439158 -1.93612 0.655968 1.46409 -2.64983 -1.93612 0.655968 -1.27248 2.50472 --0.564835 1.7005 0.606784 2.38757 --0.564835 1.7005 -0.854923 -2.20607 --1.13635 1.96026 -0.0540832 3.49304 --1.13635 1.96026 -0.0433541 -3.324 --1.21879 -1.29775 -0.817139 -2.37917 --1.21879 -1.29775 0.800322 2.05928 --1.23848 0.112914 1.62454 -0.158049 --1.23848 0.112914 -0.990023 0.453138 --1.23848 0.112914 -0.634521 -0.295089 -0.361699 1.9017 -2.47475 -1.34615 -0.361699 1.9017 2.22384 1.24787 -0.524729 0.0377361 0.400738 -0.746139 -0.524729 0.0377361 0.34738 0.754077 -0.524729 0.0377361 -0.748118 -0.00793803 --1.5454 -1.87218 -0.950431 -3.74575 --1.5454 -1.87218 0.918251 3.5788 --1.02677 -1.54566 -0.287147 -2.64178 --1.02677 -1.54566 0.17117 2.37203 -1.84432 -1.27636 2.68361 2.15569 -1.84432 -1.27636 -2.61405 -1.96914 -1.84432 -1.27636 -0.069562 -0.18655 -0.322613 -0.433827 -0.826966 0.209408 -0.322613 -0.433827 0.663307 0.522873 -0.322613 -0.433827 0.163658 -0.732281 -1.35325 1.13856 2.07447 -1.31733 -1.35325 1.13856 -2.0256 1.00269 -1.35325 1.13856 -0.048865 0.314639 --1.75618 -0.219161 2.45711 0.404838 --1.75618 -0.219161 -2.14522 -0.488879 --1.75618 -0.219161 -0.311887 0.0840411 --0.22239 -1.6322 -1.33509 1.73783 --0.22239 -1.6322 0.989941 -1.83955 --0.254348 -1.93185 -1.63667 2.23643 --0.254348 -1.93185 1.38451 -2.30549 --1.6837 -1.69662 -1.39628 -3.50697 --1.6837 -1.69662 1.39522 3.33166 -1.40069 1.31029 2.41681 -1.2674 -1.40069 1.31029 -2.40114 0.99754 -1.01778 1.50369 -2.49831 0.130375 -1.01778 1.50369 2.38912 -0.409194 -1.05122 1.90796 -3.27168 -0.180945 -1.05122 1.90796 3.15998 0.0026575 --0.884863 -0.365824 1.1325 0.381491 --0.884863 -0.365824 -0.677957 -0.917149 -1.57728 1.42904 2.78813 -1.50291 -1.57728 1.42904 -2.76745 1.28362 -1.57728 1.42904 -0.0206782 0.219296 --1.49382 -0.0911354 2.01473 0.148866 --1.49382 -0.0911354 -1.54624 -0.22239 --1.49382 -0.0911354 -0.468488 0.0735235 --1.67334 -0.595507 2.18778 1.07586 --1.67334 -0.595507 -1.94752 -1.27628 -0.581109 -1.08323 -1.54721 0.256717 -0.581109 -1.08323 1.29226 0.278573 -1.40562 -0.55942 1.13478 1.70257 -1.40562 -0.55942 -0.789501 -1.39772 --1.83189 0.642834 2.47094 -1.23782 --1.83189 0.642834 -2.26629 1.40382 --1.83189 0.642834 -0.204648 -0.166003 --1.04232 -0.537206 -0.865246 -1.12529 --1.04232 -0.537206 1.22353 0.648241 --1.57551 1.55628 -1.2896 3.13083 --1.57551 1.55628 1.2927 -2.92643 --1.45447 -0.301278 1.91473 0.483677 --1.45447 -0.301278 -1.51122 -0.689178 --0.590368 -0.982232 -0.138434 -1.48772 --0.590368 -0.982232 -0.385142 0.996455 --0.590368 -0.982232 0.523576 0.491261 --0.29175 -0.0125702 0.675804 0.0109551 --0.29175 -0.0125702 -0.330898 -0.569213 --0.29175 -0.0125702 -0.344907 0.558258 -1.72921 -0.85938 1.7877 2.16592 -1.72921 -0.85938 -1.62429 -1.94981 --0.572485 0.960695 0.545665 -0.482092 --1.80959 1.74717 -1.62139 3.72125 --1.80959 1.74717 1.62714 -3.56315 -0.773971 1.60327 -2.45917 -0.372229 -0.773971 1.60327 2.26747 0.121996 -1.0717 -1.3501 -2.26286 -0.33982 -1.0717 -1.3501 2.18818 0.66081 --0.585285 -0.952748 -0.396354 0.957604 --0.519424 -0.919761 -0.10602 -1.37275 --0.519424 -0.919761 -0.478861 0.923207 --0.519424 -0.919761 0.584881 0.449538 --0.148527 -1.40735 -1.2116 1.35075 --0.148527 -1.40735 0.756119 -1.47189 -1.17986 -0.531498 1.02788 1.36589 -1.17986 -0.531498 -0.426395 -0.891183 -1.17986 -0.531498 -0.601483 -0.474706 --1.22958 -1.94181 -0.251442 -3.56089 --1.22958 -1.94181 0.169971 3.38957 --0.467432 -1.59044 0.610093 -2.11035 --0.467432 -1.59044 -0.91058 1.92155 -0.334792 -1.64185 -2.06699 1.07245 -0.334792 -1.64185 1.72907 -0.93067 -0.334792 -1.64185 0.337916 -0.141777 --0.32968 1.88035 -1.45157 -2.24601 --0.32968 1.88035 1.19643 2.33936 --0.32968 1.88035 0.255143 -0.0933423 --0.625302 -1.42725 0.209122 -2.06728 --0.625302 -1.42725 -0.49606 1.78038 --0.625302 -1.42725 0.286938 0.286893 -0.430915 0.534917 0.763717 -0.56723 -0.430915 0.534917 -0.932886 -0.174513 --1.83214 -1.88537 -1.54886 -4.04286 --1.83214 -1.88537 1.54481 3.8981 --0.850604 -1.52041 -0.0264236 -2.43168 --0.850604 -1.52041 -0.15278 2.15215 --1.19163 -1.22033 -0.824167 -2.22857 --1.19163 -1.22033 0.821749 1.87848 --1.59299 -1.40524 -1.43718 -2.84245 --1.59299 -1.40524 1.46595 2.62233 --1.59299 -1.40524 -0.0287639 0.22012 -1.29304 -1.13155 2.01769 1.21954 -1.29304 -1.13155 -1.98002 -0.885661 --0.314338 -1.65326 -1.21868 1.86757 --0.314338 -1.65326 0.898742 -1.99597 --0.314338 -1.65326 0.319943 0.128404 --0.798121 -1.59692 0.13372 -2.49721 --0.798121 -1.59692 -0.326576 2.24931 --0.605193 -1.06013 -0.098348 -1.5867 --0.605193 -1.06013 -0.357104 1.11416 --0.605193 -1.06013 0.455452 0.472538 -1.05008 1.71693 -2.91341 0.00488981 -1.05008 1.71693 2.80271 -0.224228 -1.05008 1.71693 0.110699 0.219339 --0.148867 -1.67058 -1.48437 1.71244 --0.148867 -1.67058 1.14136 -1.78121 --0.148867 -1.67058 0.34301 0.0687757 --1.2041 0.0785282 1.58016 -0.107284 --1.2041 0.0785282 -0.901077 0.444605 --1.2041 0.0785282 -0.679079 -0.337321 --1.53416 0.42586 2.0084 -0.716049 --1.53416 0.42586 -1.68236 0.927628 --0.841372 0.12406 1.14481 -0.126074 --0.841372 0.12406 -0.60736 0.707613 --0.841372 0.12406 -0.537449 -0.581539 --1.04224 -1.8029 -0.0549029 -3.10179 --1.04224 -1.8029 -0.0615406 2.90198 --0.736604 -1.45133 0.0767009 -2.21449 --0.736604 -1.45133 -0.310028 1.91671 --0.0312909 0.304076 -0.575033 -0.37025 --0.0312909 0.304076 -0.00941079 0.677058 --0.0312909 0.304076 0.584444 -0.306808 -1.86537 1.89637 4.0288 -1.68059 -1.86537 1.89637 -4.03123 1.53939 -1.86537 1.89637 0.00242644 0.141194 -1.86243 -0.66513 1.46012 2.49928 -1.86243 -0.66513 -1.26008 -2.33746 -0.00280591 1.74739 -1.789 -1.63934 -0.00280591 1.74739 1.46179 1.64485 --0.143631 -1.27183 -1.09819 1.17613 --0.143631 -1.27183 0.57654 -1.33763 --0.143631 -1.27183 0.52165 0.161503 -0.139865 -0.161452 0.437986 0.411467 -0.139865 -0.161452 -0.577118 0.16433 -0.139865 -0.161452 0.139133 -0.575797 -0.735867 -1.1605 -1.74325 0.0916237 -0.735867 -1.1605 1.55703 0.364084 -0.021726 -1.96583 -2.10389 1.92446 -0.021726 -1.96583 1.84505 -1.92102 -0.021726 -1.96583 0.258839 -0.00344148 -1.63262 -1.35051 2.67861 1.67483 -1.63262 -1.35051 -2.63801 -1.45597 -0.418891 1.99869 -2.69804 -1.38175 -0.418891 1.99869 2.47684 1.285 --1.0951 -1.86704 -0.0807806 -3.27465 --1.0951 -1.86704 -0.024357 3.08831 -1.21236 1.49494 2.57803 -0.758698 -1.21236 1.49494 -2.63337 0.497231 --0.749794 -1.5296 0.137 -2.34349 --0.749794 -1.5296 -0.3545 2.07631 --0.749794 -1.5296 0.217501 0.267174 -0.788954 -1.24038 -1.89506 0.0613525 -0.788954 -1.24038 1.72268 0.344894 -0.13723 0.673432 -0.898476 -0.44867 -0.13723 0.673432 0.164687 0.817053 -0.13723 0.673432 0.733789 -0.368383 --1.53369 0.35174 2.03187 -0.589652 --1.53369 0.35174 -1.67751 0.779593 --0.995796 1.67349 -0.109687 2.82765 --0.995796 1.67349 -0.0186162 -2.59565 --0.101248 -1.98225 1.69049 -2.14415 -1.61971 0.990781 1.98067 -1.8921 -1.61971 0.990781 -1.85514 1.64205 -0.807223 -0.957833 1.37958 0.647882 -0.807223 -0.957833 -1.48406 -0.105458 -0.807223 -0.957833 0.104478 -0.542423 --0.70314 0.269135 0.991885 -0.239214 --0.70314 0.269135 -0.512752 0.826996 --0.70314 0.269135 -0.479133 -0.587781 -0.0884336 0.337202 -0.656075 -0.305694 -0.0884336 0.337202 0.580428 -0.382845 -0.0884336 0.337202 0.0756469 0.688538 --0.425455 1.51447 0.572746 1.95769 --0.425455 1.51447 -0.907795 -1.75875 --0.425455 1.51447 0.335048 -0.198938 -1.50263 1.02876 1.98142 -1.65505 -1.50263 1.02876 -1.87544 1.37047 --0.353261 -0.268741 -0.259905 -0.751436 --1.05223 -1.26569 -0.563791 -2.20523 --1.05223 -1.26569 0.496056 1.82988 --1.26246 -0.520879 1.53176 0.750104 --1.26246 -0.520879 -1.19329 -1.10708 --1.26246 -0.520879 -0.338469 0.356972 --1.83138 0.355766 2.57052 -0.678505 --1.83138 0.355766 -2.30481 0.789684 --1.07456 -1.35962 -0.527768 -2.37453 --1.07456 -1.35962 0.448842 2.04324 --1.07456 -1.35962 0.0789259 0.331287 -0.95939 1.28478 -2.07509 0.185923 -0.95939 1.28478 1.9707 -0.547445 -0.95939 1.28478 0.104384 0.361521 -1.46944 0.246907 0.631161 -1.85082 -1.46944 0.246907 -0.211025 1.72833 -1.74064 1.30729 2.67366 -1.92234 -1.74064 1.30729 -2.61566 1.71927 -1.74064 1.30729 -0.0580035 0.203075 -1.63609 0.326471 0.774978 -2.13711 -1.63609 0.326471 -0.44202 2.00892 -1.63609 0.326471 -0.332958 0.128186 -1.71264 1.28887 2.61647 -1.87952 -1.71264 1.28887 -2.55715 1.6699 -0.509064 1.72102 -2.37619 -0.908981 -0.509064 1.72102 2.11295 0.735417 --1.57772 0.767311 -1.72287 1.59467 --1.57772 0.767311 1.91988 -1.34392 --0.505212 -0.618411 -0.255721 -1.07884 --0.475477 -0.875996 -0.09168 -1.30053 --0.475477 -0.875996 -0.524941 0.875336 --0.475477 -0.875996 0.616621 0.425199 -1.37049 -0.0179948 0.272137 1.6636 -1.37049 -0.0179948 0.21523 -1.65403 -1.07726 0.807752 1.37254 -1.10235 -1.07726 0.807752 -1.28387 0.564213 --0.0212984 -0.0537597 -0.0484044 -0.383786 --0.0212984 -0.0537597 -0.307922 0.233967 --0.0212984 -0.0537597 0.356327 0.149819 -1.73604 1.56119 -0.0189417 0.182268 --1.67603 -0.646398 2.16888 1.1722 --1.67603 -0.646398 -1.94407 -1.37932 --1.67603 -0.646398 -0.224809 0.207123 --0.532173 -0.30973 -0.375609 -0.832176 --0.532173 -0.30973 0.852973 0.239127 --0.532173 -0.30973 -0.477364 0.593049 --0.998367 1.71439 -0.071879 2.90039 --0.998367 1.71439 -0.0556363 -2.67939 -1.67371 -0.99102 2.01116 1.99382 -1.67371 -0.99102 -1.88437 -1.75952 -1.04724 -0.885017 1.46223 1.01313 -1.04724 -0.885017 -1.42284 -0.504041 -0.257918 -0.873428 -1.12677 0.474225 -0.757957 -0.42516 0.778005 0.885085 -0.757957 -0.42516 -0.889811 -0.0661598 -0.757957 -0.42516 0.111806 -0.818925 --1.47793 -0.234805 1.96849 0.381141 --1.47793 -0.234805 -1.54464 -0.547712 --1.47793 -0.234805 -0.423849 0.166571 --1.99326 0.827928 2.71228 -1.69417 --1.99326 0.827928 -2.56169 1.84587 --1.95704 0.696088 2.70016 -1.40132 --1.95704 0.696088 -2.52181 1.54776 -1.38375 -1.42118 2.606 1.14082 -1.38375 -1.42118 -2.61403 -0.888394 -0.410399 0.974404 -1.31864 -0.389721 -0.410399 0.974404 1.01957 -0.274314 -0.410399 0.974404 0.29907 0.664035 --0.334599 0.580153 -0.132208 0.973942 --0.334599 0.580153 -0.58213 -0.636266 --0.334599 0.580153 0.714338 -0.337676 --1.92849 1.71003 -1.91281 3.73848 --1.92849 1.71003 1.93101 -3.58899 --1.92849 1.71003 -0.018204 -0.149495 --0.612666 -1.55972 -0.632982 2.00562 --1.39426 0.771697 -1.38224 1.5537 --1.39426 0.771697 1.58861 -1.23341 --1.39426 0.771697 -0.206372 -0.320287 -0.78421 -0.595246 0.962327 0.851413 -0.78421 -0.595246 -1.02732 -0.112876 -0.890988 -0.258841 0.629551 1.05588 -0.890988 -0.258841 0.13734 -0.968085 -0.890988 -0.258841 -0.76689 -0.0877981 --1.5766 0.340475 2.10862 -0.582727 --1.5766 0.340475 -1.76437 0.753532 --0.613503 -1.53674 0.343591 -2.20707 --0.613503 -1.53674 -0.610495 1.96562 -0.440942 1.48245 -1.96125 -0.758469 -0.440942 1.48245 1.60108 0.509687 -0.440942 1.48245 0.36017 0.248782 -1.39283 0.0987323 0.395733 -1.71499 -1.39283 0.0987323 0.0779407 1.66307 -1.74747 1.10863 2.28203 -2.06862 -1.74747 1.10863 -2.18311 1.85603 -1.52513 1.11639 2.15524 -1.63971 -1.52513 1.11639 -2.07341 1.37113 -1.52513 1.11639 -0.0818297 0.268584 --0.714766 -1.68 0.354912 -2.5346 --0.714766 -1.68 -0.564805 2.3224 -0.9589 0.0246405 0.375721 -1.12193 -0.9589 0.0246405 0.324053 1.11218 -0.9589 0.0246405 -0.699775 0.00975461 -1.68316 -1.55559 3.13213 1.60725 -1.68316 -1.55559 -3.11768 -1.41771 -1.68316 -1.55559 -0.014457 -0.189539 --1.41824 1.66102 -0.891704 3.20568 --1.41824 1.66102 0.858924 -2.99775 -0.179485 -1.07135 -1.24924 0.6895 -0.179485 -1.07135 0.452183 -0.825768 -0.179485 -1.07135 0.797057 0.136268 --1.11199 1.30889 -0.628715 2.31992 --1.11199 1.30889 0.574521 -1.97712 -1.62867 -1.19373 2.37085 1.78205 -1.62867 -1.19373 -2.29854 -1.54721 -1.86843 1.02643 2.18663 -2.35787 -1.86843 1.02643 -2.0684 2.17106 --1.78845 1.36243 -1.86492 2.88655 --1.78845 1.36243 1.91808 -2.69611 --1.0786 1.38467 -0.514252 2.41909 --1.0786 1.38467 0.432619 -2.098 --1.0786 1.38467 0.0816327 -0.32109 -1.02143 -0.30832 0.700151 1.20123 -1.02143 -0.30832 0.0183406 -1.04284 --1.82343 -1.67427 -1.71178 -3.57508 --1.82343 -1.67427 1.72593 3.41238 --1.11934 1.33555 -0.620677 2.36973 --1.11934 1.33555 0.563162 -2.03829 --1.11934 1.33555 0.0575153 -0.331439 -1.14416 -1.32072 2.2094 0.809588 -1.14416 -1.32072 -2.25687 -0.491607 -0.521588 1.58278 -2.18343 -0.74421 -0.521588 1.58278 1.89156 0.519607 -1.61687 1.99136 3.97935 -1.0415 -1.61687 1.99136 -4.01053 0.892964 -1.12613 1.69353 -2.93914 0.16837 -1.12613 1.69353 2.84701 -0.390414 -1.12613 1.69353 0.0921341 0.222044 --0.56285 -1.61288 0.503581 -2.25732 --0.56285 -1.61288 -0.770591 2.05169 --0.56285 -1.61288 0.26701 0.205632 -1.51545 -0.620969 1.27053 1.86852 -1.51545 -0.620969 -0.992591 -1.60292 -1.64684 0.620799 1.31032 -2.10198 -1.64684 0.620799 -1.06136 1.88843 -1.64684 0.620799 -0.248965 0.213548 --0.194114 -1.5147 -1.25384 1.53984 --0.194114 -1.5147 0.857468 -1.65461 -1.31557 -0.67602 -1.01087 -1.11352 -0.485211 1.15508 -1.57427 -0.423153 -0.485211 1.15508 1.23225 -0.0961446 --1.66591 -1.92281 -1.15386 -3.96801 --1.66591 -1.92281 1.13188 3.81486 --0.201559 0.632785 -0.0137684 0.950248 --0.201559 0.632785 -0.674168 -0.618931 --1.63648 0.633966 2.10135 -1.12972 --1.63648 0.633966 -1.86731 1.34717 --1.02244 1.87371 0.0581026 3.2065 --1.02244 1.87371 -0.177931 -3.02218 --1.02244 1.87371 0.119828 -0.184324 --0.551363 -0.995908 -0.0860488 -1.47482 --0.551363 -0.995908 -0.438079 1.01787 -1.56171 1.17694 2.29266 -1.66641 -1.56171 1.17694 -2.22277 1.414 --1.79274 -0.267135 2.51683 0.50108 --1.79274 -0.267135 -2.22472 -0.594574 --1.79274 -0.267135 -0.292117 0.0934944 -0.114639 -0.276879 -0.631642 0.256125 -0.114639 -0.276879 0.537622 0.395737 -0.114639 -0.276879 0.0940197 -0.651862 --0.7644 -1.94672 0.594524 -3.02798 --0.7644 -1.94672 -0.762337 2.87369 --0.391686 -0.671042 -0.134785 -1.07181 --0.391686 -0.671042 -0.56985 0.700689 --0.391686 -0.671042 0.704635 0.371121 --0.926956 0.197103 1.22359 -0.215463 --0.926956 0.197103 -0.694123 0.745219 --0.926956 0.197103 -0.529466 -0.529756 --1.05669 -1.75073 -0.135753 -3.02461 --1.05669 -1.75073 0.0227252 2.81276 --0.738943 0.141895 1.04396 -0.13188 --0.738943 0.141895 -0.539254 0.733615 --0.738943 0.141895 -0.504707 -0.601735 --0.927571 -1.30522 -0.338907 -2.17018 --0.927571 -1.30522 0.199366 1.7903 --0.927571 -1.30522 0.139541 0.379877 --0.789898 0.761862 -0.490337 1.34593 --0.789898 0.761862 0.78899 -0.667373 --0.789898 0.761862 -0.298652 -0.678553 -0.659056 1.665 -2.44755 -0.617334 -0.659056 1.665 2.22176 0.398722 --0.163163 -1.54379 -1.32652 1.54886 --0.163163 -1.54379 0.935709 -1.64448 -1.52796 -1.6127 3.10681 1.24212 -1.52796 -1.6127 -3.11812 -1.04045 -0.930873 0.284352 0.661945 -1.09736 --0.250143 -0.81921 0.059096 -1.10416 --0.250143 -0.81921 -0.715823 0.769283 --1.13192 -0.668138 -0.975537 -1.32389 --1.13192 -0.668138 1.25107 0.879845 --1.13192 -0.668138 -0.27553 0.444045 -1.43837 1.50756 2.81818 -1.16526 -1.43837 1.50756 -2.8297 0.936312 -1.43837 1.50756 0.0115249 0.228948 --1.57742 -1.0441 -1.61933 -2.12702 --1.57742 -1.0441 1.73009 1.87252 --1.86336 0.00995473 -2.38505 0.0224008 --0.521839 1.88863 0.914762 2.61905 --0.521839 1.88863 -1.13676 -2.48704 -0.654381 0.787218 1.08229 -0.615741 -0.654381 0.787218 -1.22254 -0.0415399 -0.416915 -0.818438 0.22622 -0.709374 -1.07575 1.63484 0.101324 0.238593 -0.213118 0.345224 -0.725469 -0.233895 -0.213118 0.345224 0.586894 -0.463938 --0.874624 -1.12151 -0.399916 -1.8611 --0.874624 -1.12151 0.25892 1.32663 --0.874624 -1.12151 0.140996 0.53447 -1.71479 0.580122 1.25408 -2.239 -1.71479 0.580122 -1.00682 2.05492 -0.35549 -1.88352 -2.43951 1.33252 -0.35549 -1.88352 2.18311 -1.23302 -0.35549 -1.88352 0.256396 -0.0995002 -1.16925 1.91653 -3.40938 0.0374231 -1.16925 1.91653 3.31927 -0.213692 --0.190418 1.30491 -1.06745 -1.25573 --0.190418 1.30491 0.577104 1.42765 --0.190418 1.30491 0.490349 -0.171917 -1.61282 1.92579 3.83545 -1.10303 -1.61282 1.92579 -3.86327 0.94726 -1.53164 0.107129 0.390208 -1.94713 -1.53164 0.107129 0.0141489 1.89817 --0.364308 1.17644 0.263453 1.50091 --0.364308 1.17644 -0.750501 -1.20833 --0.364308 1.17644 0.487049 -0.292573 --1.78879 -1.61546 -1.68432 -3.42129 --1.78879 -1.61546 1.70215 3.24994 --1.78879 -1.61546 -0.017829 0.171357 --0.198423 1.38272 0.670948 1.51493 --1.60985 1.15664 -1.6253 2.36243 --1.60985 1.15664 1.7081 -2.12259 --1.60985 1.15664 -0.082807 -0.239836 -1.63972 -1.85796 3.71994 1.23043 -1.63972 -1.85796 -3.74024 -1.06912 --1.2938 0.550712 1.56313 -0.811672 --1.2938 0.550712 -1.24448 1.15694 -0.9538 0.416251 0.818454 -1.10133 -0.9538 0.416251 -0.00567857 0.907711 -0.9538 0.416251 -0.812776 0.193619 -0.0415998 1.13836 -1.18623 -0.874329 -0.0415998 1.13836 0.517382 1.00822 -1.99274 1.01201 2.22173 -2.62235 -1.99274 1.01201 -2.10329 2.46006 -1.99682 1.90226 4.16916 -1.97031 -1.99682 1.90226 -4.16288 1.83904 --0.829908 -1.38275 -0.125568 -2.20265 --0.829908 -1.38275 -0.0696414 1.86249 --0.829908 -1.38275 0.195209 0.340163 --1.56474 -1.54996 -1.27302 -3.10968 --1.56474 -1.54996 1.27559 2.90298 --1.56474 -1.54996 -0.00256965 0.206697 --1.75399 1.42221 -1.75316 2.98846 --1.75399 1.42221 1.79433 -2.79669 -0.702949 1.74424 -2.6205 -0.627685 -0.702949 1.74424 2.4179 0.428361 -0.136248 1.30351 -1.43975 -0.948167 -0.136248 1.30351 0.82568 0.920862 -1.74436 1.13814 2.33842 -2.04424 -1.74436 1.13814 -2.24623 1.83206 -0.573852 0.00662592 0.382534 -0.785026 -0.573852 0.00662592 0.372925 0.78591 -1.32298 -1.93888 -3.60897 -0.322327 -1.32298 -1.93888 3.54314 0.491045 -1.32298 -1.93888 0.0658257 -0.168718 -1.21833 -1.88788 -3.40228 -0.16274 -1.21833 -1.88788 3.32129 0.342936 -1.87275 -1.36026 2.87832 2.1558 -1.87275 -1.36026 -2.82102 -1.97799 -0.891357 0.379267 0.762159 -1.03771 -0.759252 -1.20307 -1.81996 0.082814 -0.759252 -1.20307 1.63841 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0.447695 1.40934 --0.952588 -1.11692 0.0675036 0.497928 -1.00008 1.91349 -3.2286 -0.282777 -1.00008 1.91349 3.10705 0.106303 -0.180019 -1.54505 -1.76345 1.163 -0.180019 -1.54505 1.34462 -1.08029 -0.180019 -1.54505 0.41883 -0.0827059 --0.191189 1.55557 -1.29943 -1.59434 --0.191189 1.55557 0.919138 1.6991 --0.191189 1.55557 0.380291 -0.104755 -0.986814 -0.586165 -0.0871571 -0.754347 -0.0600548 0.617267 -0.817577 -0.468111 -0.0600548 0.617267 0.118017 0.828275 -0.560206 -1.25164 -1.75292 0.397246 -0.560206 -1.25164 1.44556 0.031648 -0.560206 -1.25164 0.30736 -0.428894 --1.59747 0.51652 2.0839 -0.898967 --1.59747 0.51652 -1.80497 1.10905 --1.59747 0.51652 -0.278934 -0.210079 -0.997819 -1.81613 -3.04594 0.187053 -0.997819 -1.81613 2.92244 0.00975775 --1.08586 1.17969 -0.677809 2.0917 --1.08586 1.17969 0.65288 -1.68998 -1.4235 1.67893 3.13581 -0.971122 -1.4235 1.67893 -3.16961 0.768323 --0.469302 -1.63313 0.660653 -2.1717 --0.469302 -1.63313 -0.949364 1.99416 --0.469302 -1.63313 0.288711 0.17754 -0.963658 -1.31613 -2.13124 -0.172877 -0.963658 -1.31613 2.0238 0.521724 -0.963658 -1.31613 0.10744 -0.348847 -1.14294 -1.85287 -3.25927 -0.0500687 -1.14294 -1.85287 3.16546 0.238385 --0.147546 -1.18918 -1.02815 1.08184 --0.147546 -1.18918 0.470236 -1.27557 -0.26638 1.61579 -1.95355 -1.13478 -0.26638 1.61579 1.58759 1.01697 -0.850469 -1.47395 -2.31276 0.133582 -0.850469 -1.47395 2.14798 0.164932 -1.94626 0.447526 1.04389 -2.71822 -1.94626 0.447526 -0.817488 2.61049 -1.94626 0.447526 -0.226399 0.10773 -1.4255 -1.11714 2.08865 1.4593 -1.4255 -1.11714 -2.0204 -1.16207 -1.38874 0.564321 1.13796 -1.67383 -1.38874 0.564321 -0.788667 1.3563 --0.842731 0.778492 -0.262679 -0.650782 --1.95353 -1.02199 -2.40037 -2.25232 --1.95353 -1.02199 2.51739 2.08407 --0.580284 -1.36195 0.201902 -1.93395 --0.580284 -1.36195 -0.526522 1.63053 --0.580284 -1.36195 0.32462 0.30342 -1.8089 0.614969 1.34599 -2.40904 -1.8089 0.614969 -1.12587 2.24272 -0.223114 -1.19932 -1.41405 0.756585 -0.223114 -1.19932 0.62403 -0.732658 -0.223114 -1.19932 0.790022 -0.0239271 --0.438441 -0.95102 -0.00433408 -1.34639 --0.438441 -0.95102 -0.573697 0.951426 --0.438441 -0.95102 0.578031 0.394961 -1.07902 -0.225226 0.600452 1.27798 -1.07902 -0.225226 0.0621289 -1.15752 -1.07902 -0.225226 -0.662581 -0.120456 --0.56411 1.74965 0.669081 2.46028 --0.56411 1.74965 -0.907847 -2.29122 -0.0707541 1.33644 -1.40446 -1.05117 -0.0707541 1.33644 0.843308 1.06577 -0.0707541 1.33644 0.561148 -0.0145983 --0.442024 1.40525 0.422986 1.83963 --0.442024 1.40525 -0.78866 -1.59908 --1.8392 -1.01474 -2.16005 -2.18661 --1.8392 -1.01474 2.28068 1.99611 --1.8392 -1.01474 -0.120635 0.190505 -1.19423 1.04788 1.80739 -1.11973 -1.19423 1.04788 -1.77004 0.731342 -1.19423 1.04788 -0.0373577 0.388389 -0.0601605 0.868847 -0.987489 -0.629971 -0.891257 1.5446 -2.46545 -0.123927 -0.891257 1.5446 2.31342 -0.148099 -0.850067 1.55567 -2.44865 -0.203137 -0.850067 1.55567 2.28237 -0.0655637 --0.977346 1.88125 0.147018 3.16906 --0.977346 1.88125 -0.276002 -2.98748 -1.51085 -0.880091 1.72089 1.75346 -1.51085 -0.880091 -1.56002 -1.46205 -1.51085 -0.880091 -0.160877 -0.291408 --0.0658675 -1.5963 -1.51604 1.51555 --0.0658675 -1.5963 1.13206 -1.56044 -1.89944 -0.661945 -1.26963 -2.4207 -0.915938 1.25726 -2.00174 0.130348 -0.915938 1.25726 1.88422 -0.509826 --1.75695 -1.06072 -1.96871 -2.24453 --1.75695 -1.06072 2.07954 2.03594 --1.75695 -1.06072 -0.110826 0.208589 --1.99897 -0.547264 2.84622 1.1112 --1.99897 -0.547264 -2.64693 -1.23071 --1.99897 -0.547264 -0.199282 0.119513 -1.50491 1.45614 2.77906 -1.3391 -1.50491 1.45614 -2.77257 1.11196 --1.89582 -0.348214 2.6977 0.679699 --1.89582 -0.348214 -2.44637 -0.778078 --0.860312 0.00782852 1.17104 -0.00810495 --0.860312 0.00782852 -0.58803 0.630041 --0.860312 0.00782852 -0.583006 -0.621936 --1.5735 0.519929 2.03994 -0.894954 --1.5735 0.519929 -1.75732 1.11397 --1.60075 0.741442 1.97786 -1.30953 --1.60075 0.741442 -1.77417 1.55063 -1.45926 1.82366 3.46141 -0.89286 -1.45926 1.82366 -3.50151 0.71448 -1.45926 1.82366 0.0400995 0.17838 --0.962001 0.0925968 1.27698 -0.10456 -0.841181 1.17711 -1.82866 0.0574814 -0.841181 1.17711 1.69176 -0.485416 -1.92737 -0.309938 0.763416 2.69594 -1.92737 -0.309938 -0.514618 -2.61604 -1.40868 0.564347 -0.802624 1.40117 -1.40868 0.564347 -0.341039 0.305002 -1.02974 -1.89353 -3.22223 0.206453 -1.02974 -1.89353 3.1062 -0.025562 --1.66857 0.420642 2.24733 -0.752809 --1.66857 0.420642 -1.95487 0.918529 -1.48786 0.709465 1.4132 -1.79004 -1.48786 0.709465 -1.17351 1.49476 -1.48786 0.709465 -0.239696 0.29528 --1.29441 -1.09358 -1.07619 -2.07457 --1.29441 -1.09358 1.14311 1.73159 -0.624366 -1.8309 -2.67711 0.849853 -0.624366 -1.8309 2.46511 -0.683917 -0.624366 -1.8309 0.211994 -0.165936 -0.457288 -1.51701 -2.02502 0.770092 -0.457288 -1.51701 1.68547 -0.533843 -0.915909 1.99017 3.14435 0.362967 --0.825733 -0.111799 1.13036 0.112122 -1.11356 -1.19348 1.97378 0.875026 -1.11356 -1.19348 -2.00442 -0.510814 -1.16358 -1.80621 -3.18925 -0.135307 -1.16358 -1.80621 3.10061 0.332113 --1.71097 -1.71252 -1.44006 -3.56347 --1.71097 -1.71252 1.44016 3.39257 -1.51734 1.46895 -0.00632263 0.223371 -1.3106 -0.904225 -1.52483 -1.02089 -1.07471 -0.070841 0.409146 1.26162 -1.07471 -0.070841 0.239856 -1.22615 -1.07471 -0.070841 -0.649002 -0.0354721 --1.46994 -0.735024 -1.52813 -1.50657 --1.46994 -0.735024 1.74479 1.21933 --1.46994 -0.735024 -0.21666 0.287243 --0.865265 0.633112 -0.624155 1.21757 --0.865265 0.633112 0.965908 -0.630427 --1.62362 -1.29631 -1.5705 -2.64633 --1.62362 -1.29631 1.62314 2.42074 -1.48639 -0.86313 1.67869 1.71905 -1.48639 -0.86313 -1.51141 -1.41698 -1.24215 -0.277214 0.674736 1.49742 -1.24215 -0.277214 -0.119064 -1.32974 -1.24215 -0.277214 -0.555672 -0.167684 --0.82613 0.744151 -0.540989 1.33913 --0.82613 0.744151 0.833811 -0.691634 --1.09564 -1.78876 -0.165495 -3.13319 --1.09564 -1.78876 0.0609789 2.93045 -1.31507 -1.61443 2.90185 0.827435 -1.31507 -1.61443 -2.94832 -0.602888 -1.31507 -1.61443 0.0464744 -0.224547 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2.83413 --0.857491 -1.87073 0.155114 0.177742 -0.613561 0.36196 0.680875 -0.766202 -0.613561 0.36196 -0.858276 -0.0235586 -0.613561 0.36196 0.177401 0.789761 -0.321167 -0.828929 -1.12508 0.391761 -0.321167 -0.828929 0.877812 0.356134 --1.76554 -0.692431 2.31751 1.3041 --1.76554 -0.692431 -2.11658 -1.49239 --1.76554 -0.692431 -0.200935 0.188295 --1.27928 0.0951378 1.68427 -0.136865 --1.27928 0.0951378 -1.03917 0.374116 --1.27928 0.0951378 -0.6451 -0.237251 --0.811316 1.05308 0.129462 -1.04766 --0.811316 1.05308 0.230212 -0.676796 --1.81243 -1.95239 -1.44308 -4.17217 --1.81243 -1.95239 1.43268 4.03152 --0.138997 -1.3173 -1.14242 1.22778 --0.138997 -1.3173 0.640884 -1.37153 --0.138997 -1.3173 0.501535 0.143753 -0.228843 0.254555 0.522242 -0.483103 -0.228843 0.254555 -0.684175 -0.177954 -1.25357 0.0301912 0.31898 -1.4903 -1.25357 0.0301912 0.232311 1.47353 --0.24236 1.01899 0.220553 1.24482 --0.24236 1.01899 -0.813823 -0.954061 --1.48162 -0.827585 -1.52408 -1.68036 --1.48162 -0.827585 1.70491 1.39265 --0.437682 -1.68868 0.776171 -2.20938 --0.437682 -1.68868 -1.05857 2.05383 -1.68274 0.0487937 0.263913 -2.21139 -1.68274 0.0487937 0.0800486 2.19304 --0.381228 -0.512353 -0.195818 -0.941144 --0.381228 -0.512353 -0.544023 0.616651 --0.381228 -0.512353 0.73984 0.324492 --0.888584 -1.00983 0.475434 1.07141 -0.0390304 -1.82956 -1.94469 1.70651 -0.0390304 -1.82956 1.6457 -1.69809 -0.0390304 -1.82956 0.298988 -0.00841641 --1.97265 -0.375701 2.84415 0.753252 --1.97265 -0.375701 -2.6138 -0.846278 --1.97265 -0.375701 -0.230349 0.0930263 -1.73339 -0.356647 0.838641 2.31384 -1.73339 -0.356647 -0.544111 -2.19347 -1.76258 1.36248 2.80177 -1.92613 -1.76258 1.36248 -2.75171 1.73089 -1.76258 1.36248 -0.0500653 0.195243 --1.03175 0.703507 -0.822486 1.35226 --1.03175 0.703507 1.08897 -0.845921 --1.03175 0.703507 -0.266479 -0.506335 -1.17715 0.564015 1.07336 -1.35203 -1.17715 0.564015 -0.463318 0.75506 -1.17715 0.564015 -0.610045 0.596965 --1.44922 0.42296 1.86723 -0.680075 --1.44922 0.42296 -1.51776 0.92595 --1.44922 0.42296 -0.349469 -0.245875 -0.156346 -1.77656 -2.03231 1.47904 -0.156346 -1.77656 1.71891 -1.42827 --1.28537 0.7292 -1.20555 1.45326 --1.28537 0.7292 1.437 -1.08542 -0.960617 1.6364 -2.68587 -0.0836584 -0.960617 1.6364 2.55356 -0.158562 -0.508827 0.357789 0.651787 -0.679131 -0.508827 0.357789 -0.841798 -0.0789941 -0.508827 0.357789 0.190012 0.758125 -0.397389 -1.7766 -2.33166 1.13946 -0.397389 -1.7766 2.0543 -1.00902 -0.397389 -1.7766 0.277355 -0.130443 -1.15927 0.964245 1.65269 -1.12427 -1.15927 0.964245 -1.59615 0.69461 -1.15927 0.964245 -0.0565379 0.42966 -1.81259 0.485926 1.09666 -2.44644 -1.81259 0.485926 -0.848399 2.30696 -1.81259 0.485926 -0.248265 0.139487 -1.94709 -0.436072 1.02079 2.72172 -1.94709 -0.436072 -0.792853 -2.61643 --1.11349 0.900277 -0.874489 1.66995 --1.11349 0.900277 1.01181 -1.20782 --1.11349 0.900277 -0.137321 -0.46213 --1.54593 -0.461419 2.01545 0.781577 --1.54593 -0.461419 -1.70569 -0.997673 -1.61602 -1.41398 2.79049 1.59156 -1.61602 -1.41398 -2.7627 -1.37681 -0.702547 1.13 -1.68036 -0.121575 -0.702547 1.13 1.48243 -0.357069 -0.702547 1.13 0.197924 0.478644 -0.541606 -1.96562 -2.7994 1.1429 -0.541606 -1.96562 2.5917 -1.01843 --0.52472 -1.51338 0.440159 -2.07399 --0.52472 -1.51338 -0.743553 1.84575 --0.52472 -1.51338 0.303394 0.228239 -0.33134 1.25594 -1.5727 -0.686973 -0.33134 1.25594 1.00056 0.219433 -0.33134 1.25594 0.572137 0.467541 -1.26034 1.52593 2.68211 -0.814681 -1.26034 1.52593 -2.73019 0.566066 --1.5234 1.0082 -1.53274 2.03361 --1.5234 1.0082 1.65196 -1.76153 -1.46212 -1.29351 2.43578 1.39388 -1.46212 -1.29351 -2.40611 -1.13406 --1.99962 -0.0750714 2.94337 0.151306 --1.99962 -0.0750714 -2.69245 -0.170703 --0.829945 0.439195 -0.618107 0.992382 --0.829945 0.439195 1.04918 -0.430492 --0.829945 0.439195 -0.431077 -0.56189 --0.929092 1.90538 0.260043 3.156 --0.929092 1.90538 -0.398008 -2.98136 -0.602885 0.0262042 -0.759175 -0.00232454 -1.16745 -1.86406 -3.30518 -0.0865156 -1.16745 -1.86406 3.21572 0.272224 -0.389736 0.882789 -1.21352 -0.357618 -0.389736 0.882789 0.953774 -0.347485 -1.59912 -1.29203 2.53899 1.65427 -1.59912 -1.29203 -2.49079 -1.42272 -1.76838 1.33274 2.74543 -1.96 -1.76838 1.33274 -2.68994 1.7636 --1.15271 -0.365382 1.44744 0.482266 --1.15271 -0.365382 -1.00644 -0.878953 -1.6964 -0.845176 1.74583 2.10988 -1.6964 -0.845176 -1.57645 -1.88484 -0.403652 0.901014 0.26441 0.693416 -1.20225 1.62424 -2.87339 0.373894 -1.20225 1.62424 2.80277 -0.606606 --1.24897 1.8082 -0.428371 3.3269 --1.24897 1.8082 0.354436 -3.13269 --1.24897 1.8082 0.0739352 -0.194211 -1.66731 0.982083 1.99066 -1.98655 -1.66731 0.982083 -1.86143 1.75029 -0.762402 1.47353 -2.23933 -0.276151 -0.762402 1.47353 2.03917 -0.023758 -0.762402 1.47353 0.200163 0.299909 --0.302443 1.42104 -1.01273 -1.50783 --0.302443 1.42104 0.607218 1.69135 --0.747238 -1.09767 -0.24462 -1.73842 --0.747238 -1.09767 -0.0707843 1.18445 --0.747238 -1.09767 0.315404 0.553968 -0.90094 -0.175968 0.541007 1.07134 -0.90094 -0.175968 0.198606 -1.01142 -1.21283 0.7713 1.39198 -1.31892 -1.21283 0.7713 -1.21196 0.844508 -1.8632 -0.884067 -0.149711 -0.183254 -0.234755 1.49049 -1.75808 -1.03417 -0.234755 1.49049 1.31211 0.906846 -0.234755 1.49049 0.445977 0.127325 -1.72521 1.08332 2.21887 -2.04015 -1.72521 1.08332 -2.11476 1.82153 -1.87676 0.282234 0.704969 -2.59624 -1.87676 0.282234 -0.440396 2.51756 --0.0718926 -1.95496 -1.95012 2.03562 --0.0718926 -1.95496 1.69036 -2.05703 -1.85524 -1.92849 4.0901 1.62634 -1.85524 -1.92849 -4.09559 -1.48692 --1.37314 1.67868 -0.788865 3.19937 --1.37314 1.67868 0.74661 -2.99003 -0.0068615 0.0373813 -0.30085 -0.15022 -0.0068615 0.0373813 0.280469 -0.185354 -0.0068615 0.0373813 0.0203805 0.335574 --1.50986 -1.82951 -0.918716 -3.62444 --1.50986 -1.82951 0.88497 3.44952 --0.191621 0.305187 -0.130566 0.721074 --0.191621 0.305187 -0.521328 -0.476482 --0.191621 0.305187 0.651894 -0.244592 -1.45882 1.05938 2.00851 -1.55732 -1.45882 1.05938 -1.91751 1.262 --0.298753 1.97845 -1.62361 -2.36816 --0.298753 1.97845 1.38683 2.44231 --0.298753 1.97845 0.236778 -0.0741521 --1.93065 -0.380027 2.75875 0.751328 --1.93065 -0.380027 -2.52021 -0.851439 -0.283926 -0.97262 -1.23483 0.515763 --1.97386 -1.80046 -1.93931 -3.97836 --1.97386 -1.80046 1.95229 3.83879 -1.20848 -0.0897622 0.411945 1.43875 -1.20848 -0.0897622 0.164901 -1.38871 -1.20848 -0.0897622 -0.576845 -0.0500392 --0.468411 -0.671999 -0.19932 -1.10977 -0.337005 -0.305229 0.575082 0.558012 -0.337005 -0.305229 -0.761519 0.149066 -1.77879 0.12002 0.38861 -2.40218 -1.77879 0.12002 -0.0812283 2.36281 -1.77879 0.12002 -0.307381 0.0393667 -1.05753 -1.60652 -2.71703 -0.117195 -1.05753 -1.60652 2.61248 0.364089 --0.537482 -1.99822 1.03874 -2.8151 --0.537482 -1.99822 -1.23978 2.69894 --0.537482 -1.99822 0.201038 0.11616 -1.03712 -0.862995 -0.0426321 -0.524484 -1.24505 1.75331 0.0706048 0.203417 --0.308579 -0.831262 0.0236008 -1.15184 --0.308579 -0.831262 -0.671177 0.800498 --0.308579 -0.831262 0.647576 0.351346 -0.591321 -0.0478243 0.414643 0.795136 -0.591321 -0.0478243 0.344635 -0.800216 -0.400729 1.43927 -1.86421 -0.770212 -0.400729 1.43927 1.46173 0.511895 -0.400729 1.43927 0.402479 0.258317 -0.203206 1.43366 -1.65538 -1.01049 -0.203206 1.43366 1.15864 0.898071 -0.630568 -0.605634 0.902986 0.696806 -0.630568 -0.605634 -1.03483 0.0317593 -0.630568 -0.605634 0.13184 -0.728565 --0.0613904 -0.273188 -0.540213 0.379089 --0.0613904 -0.273188 -0.038863 -0.658657 -1.63607 -1.63767 3.25806 1.43717 -1.63607 -1.63767 -3.25861 -1.25093 -1.5158 -1.18966 2.28399 1.5718 -1.5158 -1.18966 -2.22262 -1.30947 -1.5158 -1.18966 -0.0613642 -0.262326 -0.735775 1.41993 -2.13318 -0.273788 -0.735775 1.41993 1.92121 -0.049903 --0.54832 -1.3043 -0.54292 1.50961 -0.393079 1.22582 1.13155 0.101657 -1.19285 1.07305 1.84638 -1.09891 -1.19285 1.07305 -1.81784 0.717913 -0.500892 -1.40576 -1.91276 0.604583 -0.500892 -1.40576 1.56806 -0.290261 -1.06956 -0.260137 0.644201 1.26492 -1.06956 -0.260137 0.0306808 -1.12447 -1.87559 -0.461373 -0.820996 -2.45218 --1.67546 -1.1039 -1.7828 -2.29227 --1.67546 -1.1039 1.88174 2.06566 -1.55407 0.980031 1.92368 -1.77706 -1.55407 0.980031 -1.79763 1.50573 -1.62838 -1.02509 2.04996 1.88872 -1.62838 -1.02509 -1.93419 -1.64254 -1.62838 -1.02509 -0.115765 -0.24618 --0.840419 0.21637 1.12969 -0.218702 --0.840419 0.21637 -0.622848 0.779485 --1.61784 -0.719969 2.02179 1.27929 --1.61784 -0.719969 -1.81278 -1.5129 --0.905904 1.56777 -0.0671051 2.5616 --0.905904 1.56777 -0.0900962 -2.29753 --1.74661 -1.63088 -1.5826 -3.42059 --1.74661 -1.63088 1.59493 3.2457 --0.691073 -0.219855 0.990663 0.194803 -1.65227 -1.15617 2.31444 1.85277 -1.65227 -1.15617 -2.23152 -1.62048 --0.482342 1.02543 0.00905083 1.45354 --0.482342 1.02543 -0.533755 -1.05064 --0.863407 0.281782 1.13751 -0.289642 --0.863407 0.281782 -0.651057 0.83498 --0.863407 0.281782 -0.486452 -0.545338 --1.25018 -1.60115 0.568892 2.70652 --0.984958 1.56645 -0.197684 2.6368 --0.984958 1.56645 0.0672748 -2.37234 --0.984958 1.56645 0.130409 -0.264454 -1.53385 0.477453 1.02771 -1.93686 -1.53385 0.477453 -0.695924 1.72436 -1.9633 -1.91952 4.17615 1.8776 -1.9633 -1.91952 -4.17324 -1.74506 --1.13508 0.945514 -0.887883 1.74976 --1.13508 0.945514 0.99969 -1.3058 --1.13508 0.945514 -0.111807 -0.443957 --0.927722 -1.52738 -0.141731 -2.5179 --0.927722 -1.52738 -0.00810611 2.23916 --0.187524 -1.48361 -1.23228 1.49021 --0.187524 -1.48361 0.821222 -1.60945 --0.187524 -1.48361 0.41106 0.119231 --1.12204 -0.000334783 1.47433 0.000430469 --1.12204 -0.000334783 -0.737502 -0.466726 --1.12204 -0.000334783 -0.736833 0.466295 -0.954267 -0.357594 0.749514 1.11379 -1.27864 0.817416 -1.32788 0.980725 --1.42173 -0.695882 -1.44899 -1.42484 --1.42173 -0.695882 1.68548 1.12134 -1.97137 -0.554881 1.26746 2.74831 -1.97137 -0.554881 -1.06282 -2.62496 -1.97137 -0.554881 -0.204643 -0.123353 --0.455221 1.90965 1.04711 2.56104 --0.455221 1.90965 -1.27674 -2.44514 --0.88449 -1.64942 0.161367 0.236668 --1.00281 1.79931 0.010868 3.05282 --1.00281 1.79931 -0.136323 -2.85261 --0.164156 -0.936471 -0.846516 0.830556 --0.164156 -0.936471 0.642742 0.288787 --0.67599 -1.97156 0.77505 -2.95677 --0.67599 -1.97156 -0.956582 2.81682 --0.67599 -1.97156 0.181532 0.139945 -0.998038 -1.74494 2.79216 0.0963065 -0.998038 -1.74494 0.123622 -0.213338 -0.774073 -0.1043 0.468773 0.94617 -0.0423508 1.01769 -1.08638 -0.762901 -0.0423508 1.01769 0.377399 0.968495 -0.0423508 1.01769 0.708977 -0.205594 -1.14407 -1.44299 -2.48408 -0.407055 -1.14407 -1.44299 2.41781 0.690351 -1.54449 0.184846 0.523639 -1.97642 -1.54449 0.184846 -0.131485 1.89315 -1.54449 0.184846 -0.392154 0.0832648 -1.80498 -1.49403 3.1068 1.91125 -1.80498 -1.49403 -3.07323 -1.73228 -1.80498 -1.49403 -0.0335664 -0.178964 --0.0396506 0.100441 -0.378996 -0.288563 --0.0396506 0.100441 -0.0590505 0.473205 --0.0396506 0.100441 0.438046 -0.184642 --1.26904 1.39216 -0.835646 2.58173 --1.26904 1.39216 0.810927 -2.29792 -1.62543 -1.91959 3.83559 1.13632 -1.62543 -1.91959 -3.86165 -0.980673 -1.53233 -0.240103 0.619388 1.95712 -1.53233 -0.240103 -0.228614 -1.84719 -0.128358 0.406302 -0.719935 -0.315792 -0.128358 0.406302 0.61985 -0.407809 --1.15258 -1.44238 -0.591772 -2.5772 --1.15258 -1.44238 0.526162 2.28699 --1.15258 -1.44238 0.06561 0.29021 -0.585799 0.170911 0.512401 -0.777817 -0.585799 0.170911 0.266896 0.796934 -0.585799 0.170911 -0.779297 -0.0191171 --1.65907 -0.0322321 -1.92498 -0.073292 -1.91156 0.377834 0.898558 -2.65789 -1.91156 0.377834 -0.6546 2.56011 --1.53916 -0.0542734 2.09199 0.0907293 --1.53916 -0.0542734 -1.64895 -0.129 --1.53916 -0.0542734 -0.443038 0.0382706 -1.61909 0.723634 1.48833 -2.01674 -1.61909 0.723634 -1.27132 1.77626 -1.61909 0.723634 -0.217005 0.24048 -0.296648 -0.255787 0.531326 0.535311 -0.296648 -0.255787 -0.719981 0.145981 -0.296648 -0.255787 0.188655 -0.681292 --1.91904 0.21467 2.7692 -0.421508 --1.91904 0.21467 -2.50623 0.483104 --0.867533 1.22574 -0.313077 2.00456 --0.867533 1.22574 0.142822 -1.56562 --0.867533 1.22574 0.170256 -0.438942 --0.631889 0.993974 -0.177132 1.5298 --0.631889 0.993974 -0.322549 -1.00554 --0.631889 0.993974 0.499681 -0.52426 -0.997557 -1.80173 0.123664 -0.200039 -1.34168 -0.674091 1.29815 1.56157 -1.34168 -0.674091 -1.01842 -1.17783 -1.34168 -0.674091 -0.279727 -0.383738 --1.48692 1.32187 -1.28766 2.60749 --1.48692 1.32187 1.31926 -2.35612 --1.95862 0.737202 2.6845 -1.48712 --1.95862 0.737202 -2.51411 1.63754 --1.95862 0.737202 -0.170389 -0.150414 --1.74986 -0.874179 -2.03101 -1.86049 --1.74986 -0.874179 2.18676 1.65349 --1.88156 -0.0527909 2.71104 0.10215 --1.88156 -0.0527909 -2.42586 -0.118874 -0.322953 -1.34549 -1.67132 0.77853 -0.322953 -1.34549 1.13703 -0.493859 -0.322953 -1.34549 0.534296 -0.284672 -1.32921 -1.07739 1.95237 1.3201 -1.32921 -1.07739 -1.88953 -0.985255 -1.32921 -1.07739 -0.062844 -0.334842 -1.53633 -0.733289 1.47361 1.86496 -1.53633 -0.733289 -1.25076 -1.58984 -1.53633 -0.733289 -0.222854 -0.275123 -1.7183 -1.30793 2.65868 1.87698 -1.7183 -1.30793 -2.60247 -1.66988 -0.675446 -1.87348 -2.80478 0.813489 -0.675446 -1.87348 2.61063 -0.650538 -0.448872 -0.281392 -0.790293 0.088982 -0.448872 -0.281392 0.212298 -0.737118 -1.49936 -1.73659 3.32698 1.06391 -1.49936 -1.73659 -3.35476 -0.876524 --0.858327 -1.14958 -0.357101 -1.88907 --0.858327 -1.14958 0.18965 1.38033 -0.390017 0.293091 0.57558 -0.600262 -1.58291 -1.82022 3.58289 1.14999 -1.58291 -1.82022 -3.6068 -0.980152 -1.58291 -1.82022 0.0239086 -0.169839 --1.4156 1.69933 -0.852254 3.27779 --1.4156 1.69933 0.815294 -3.07592 -1.10658 0.328678 0.73546 -1.30696 -1.10658 0.328678 -0.0720676 1.10995 -1.10658 0.328678 -0.663392 0.197008 --0.202854 -0.758154 0.0527206 -1.0327 --0.202854 -0.758154 -0.72699 0.702271 -0.181606 -1.75488 -2.03574 1.41707 -0.181606 -1.75488 1.71643 -1.35526 -1.47365 -1.88737 -3.64879 -0.685175 -1.47365 -1.88737 3.60661 0.854008 --0.840606 1.21318 0.0932374 -1.51472 -1.58902 0.438033 0.968708 -2.04023 -1.58902 0.438033 -0.644783 1.85988 --1.51639 -0.372778 1.99616 0.61991 --1.51639 -0.372778 -1.64448 -0.823234 --1.51639 -0.372778 -0.351688 0.203323 --1.48643 0.0492923 -1.52157 0.12241 --1.34111 1.25185 -1.06368 2.38165 --1.34111 1.25185 1.08804 -2.0834 -1.72132 1.85971 3.80614 -1.40243 -1.72132 1.85971 -3.81826 1.24737 -1.79976 1.49133 3.09694 -1.9025 -1.79976 1.49133 -3.06341 1.72262 -1.79976 1.49133 -0.0335305 0.179878 --1.11737 0.323579 1.41591 -0.415106 --1.11737 0.323579 -0.946229 0.829686 --1.11737 0.323579 -0.469676 -0.414581 -0.418634 -1.78621 2.10095 -0.985147 -1.7409 0.355613 0.837412 -2.32807 -1.7409 0.355613 -0.544987 2.20936 -1.86123 1.31271 2.7707 -2.16557 -1.86123 1.31271 -2.70645 1.98357 -1.86123 1.31271 -0.0642517 0.182008 --0.148605 -1.56335 0.981805 -1.64651 --0.148605 -1.56335 0.385385 0.0857551 --0.490274 -1.70289 0.719143 -2.29754 --0.490274 -1.70289 -0.985549 2.13265 --0.490274 -1.70289 0.266406 0.164892 --0.949841 -0.871709 -0.155277 0.587048 --1.62487 1.96968 -1.02079 4.02732 --1.62487 1.96968 0.99162 -3.87652 --1.62487 1.96968 0.0291731 -0.150798 --1.73662 -0.806812 2.20016 1.51241 --1.73662 -0.806812 -2.02627 -1.71887 -0.58557 -1.60885 -2.2866 0.67502 -0.58557 -1.60885 2.02574 -0.447485 --1.38704 -1.86829 -0.634783 -3.58205 --1.38704 -1.86829 0.581085 3.40482 -1.23163 -0.77793 -1.22946 -0.885623 --0.0956409 1.31683 -1.19485 -1.18891 --0.0956409 1.31683 0.678659 1.31131 --1.90956 1.06674 -2.2855 2.32863 --1.90956 1.06674 2.39498 -2.1515 --1.90956 1.06674 -0.109475 -0.177126 -1.24793 1.09291 1.91962 -1.17326 -1.24793 1.09291 -1.88152 0.815733 -1.24793 1.09291 -0.0381036 0.357525 -0.704787 -0.0540419 0.424239 0.885621 -1.75975 0.840273 1.76453 -2.23322 -1.75975 0.840273 -1.59758 2.02679 --1.94644 -1.12609 -2.33613 -2.47412 --1.94644 -1.12609 2.43471 2.30335 --1.94644 -1.12609 -0.0985751 0.170765 -1.55534 0.296323 0.716981 -1.99582 -1.55534 0.296323 -0.345809 1.86452 -1.55534 0.296323 -0.371172 0.131299 --0.318386 -1.61139 -1.16892 1.80719 --0.318386 -1.61139 0.836462 -1.94605 --1.24724 1.08827 -0.998372 2.03957 --1.24724 1.08827 1.05874 -1.67702 --1.24724 1.08827 -0.060363 -0.362552 --0.502954 -1.39426 0.334914 -1.8938 --0.502954 -1.39426 -0.681619 1.6285 --0.502954 -1.39426 0.346704 0.265296 --1.40998 0.373901 1.82137 -0.586847 --1.40998 0.373901 -1.43827 0.837806 --1.40998 0.373901 -0.383094 -0.250959 -0.518367 -0.69205 -1.08791 0.152547 --1.43301 -1.72857 -0.859642 -3.35089 --1.43301 -1.72857 0.822841 3.15528 -1.55199 0.875048 1.73262 -1.82934 -1.55199 0.875048 -1.56918 1.554 --0.0202455 -1.76902 -1.78413 1.69822 --0.0202455 -1.76902 1.46562 -1.71131 -0.272015 0.25345 0.526149 -0.516653 -0.272015 0.25345 -0.706629 -0.156251 -0.272015 0.25345 0.18048 0.672904 --1.90961 -1.75947 -1.83019 -3.83256 --1.90961 -1.75947 1.84248 3.68466 --1.90961 -1.75947 -0.0122891 0.147896 -0.377525 1.51076 1.5547 0.665301 -1.78855 1.18228 2.45462 -2.10442 -1.78855 1.18228 -2.36994 1.90338 -0.437377 -1.31829 -1.74104 0.611676 -0.437377 -1.31829 1.32726 -0.236921 -0.437377 -1.31829 0.413781 -0.374755 --1.05739 -1.5348 -0.348779 -2.65184 --1.05739 -1.5348 0.243297 2.3804 --0.517146 0.600577 -0.273641 1.06788 -1.99484 1.66001 3.62238 -2.18401 -1.99484 1.66001 -3.59559 2.038 -0.84105 -1.73116 -2.73869 0.382026 -0.84105 -1.73116 2.57409 -0.168228 --1.81198 1.48816 -1.82904 3.16777 --1.81198 1.48816 1.86486 -2.9894 -1.38287 0.731305 -1.1714 1.24754 -1.32614 -1.24351 2.23632 1.18882 -1.32614 -1.24351 -2.22076 -0.889158 -1.32614 -1.24351 -0.0155664 -0.299663 --1.96435 0.382001 2.82581 -0.76388 --1.96435 0.382001 -2.59465 0.859383 --1.96435 0.382001 -0.231164 -0.0955036 -1.04661 -0.235186 0.612168 1.23734 -1.04661 -0.235186 0.0716024 -1.11689 --0.00949349 0.513076 -0.716608 -0.454554 -1.3161 1.50757 2.70298 -0.935272 -1.3161 1.50757 -2.73701 0.689735 -1.3161 1.50757 0.0340283 0.245537 -0.909649 -1.5132 -2.42731 0.0661827 -0.909649 -1.5132 2.2825 0.215967 --1.34226 1.1746 -1.11389 2.24418 --1.34226 1.1746 1.16109 -1.93187 -0.646114 1.84248 -2.72043 -0.827276 -0.646114 1.84248 2.51536 0.660984 --0.486145 1.22936 0.416489 -0.32707 -0.872894 -1.28081 -2.01297 -0.044941 -0.872894 -1.28081 1.87365 0.420823 --1.01182 0.16425 1.32537 -0.193293 --1.01182 0.16425 -0.76121 0.684122 --1.01182 0.16425 -0.564155 -0.49083 -0.884772 0.369565 0.0692111 0.903418 -0.884772 0.369565 -0.819224 0.128972 --1.8872 0.409978 2.66462 -0.798962 --1.8872 0.409978 -2.42167 0.912692 -1.11176 0.882968 1.50055 -1.10651 -1.11176 0.882968 -1.42894 0.623329 -1.11176 0.882968 -0.0716052 0.483179 -1.94294 -1.05086 2.27689 2.49789 -1.94294 -1.05086 -2.16452 -2.32558 -1.94294 -1.05086 -0.112374 -0.172304 --1.60247 1.01302 -1.68212 2.07833 --1.60247 1.01302 1.80249 -1.82991 --1.161 -1.66112 -0.411079 -2.9693 --1.161 -1.66112 0.326141 2.73942 --1.161 -1.66112 0.0849385 0.229875 -0.000363542 1.51726 1.08338 1.3615 -1.71912 -0.320398 0.769537 2.29005 -1.71912 -0.320398 -0.46428 -2.17866 --0.0707529 -1.50741 -1.41265 1.40329 --0.0707529 -1.50741 0.987788 -1.46385 --0.0707529 -1.50741 0.424866 0.0605518 --1.52249 -1.29557 -1.37307 -2.58045 --1.52249 -1.29557 1.41508 2.33338 --0.223438 -1.58336 -1.28196 1.66754 --0.223438 -1.58336 0.919087 -1.77914 -1.24903 -0.413033 0.872852 1.49315 -1.24903 -0.413033 -0.337639 -1.21388 -1.24903 -0.413033 -0.535213 -0.279267 --0.388804 0.511296 -0.202105 0.943244 -0.139586 -0.671682 -0.898596 0.446042 -0.139586 -0.671682 0.164606 -0.815671 -0.139586 -0.671682 0.73399 0.369629 --1.88536 -1.93691 -1.61953 -4.20619 --1.88536 -1.93691 1.61591 4.06927 --1.88536 -1.93691 0.00361107 0.136923 -0.359239 0.675129 -1.01307 -0.282709 -0.359239 0.675129 0.823543 -0.463145 -0.359239 0.675129 0.189526 0.745854 --1.27544 -1.2964 -0.91682 -2.4167 --1.27544 -1.2964 0.915112 2.11089 --1.27544 -1.2964 0.00170846 0.305811 --0.791141 0.616417 -0.542592 1.17809 --0.791141 0.616417 0.914902 -0.561388 --0.791141 0.616417 -0.372309 -0.616701 --1.03114 0.843331 -0.173638 -0.520094 --0.727743 0.916265 -0.339073 1.49941 --0.727743 0.916265 -0.232231 -0.844374 --0.727743 0.916265 0.571304 -0.655037 -0.875575 0.762488 1.19648 -0.867461 -0.875575 0.762488 -1.21949 0.235328 -0.61057 1.42661 -2.03868 -0.467813 -0.61057 1.42661 1.7637 0.15154 -0.61057 1.42661 0.27498 0.316273 -1.24677 1.59064 -2.84536 0.487994 -1.24677 1.59064 2.78739 -0.724068 --0.39531 -1.74321 -1.18661 2.09792 --0.39531 -1.74321 0.908876 -2.23077 -1.99754 1.32003 2.88011 -2.44946 -1.99754 1.32003 -2.81192 2.28866 -0.98397 -1.28384 -2.08902 -0.228514 -0.98397 -1.28384 1.9942 0.586464 --0.920735 1.51592 -0.141514 2.49281 --0.920735 1.51592 -0.0109202 -2.2098 --0.920735 1.51592 0.152434 -0.283012 -1.5491 0.151024 0.464558 -1.98208 -1.5491 0.151024 -0.0712538 1.91446 --1.30706 -1.29125 -0.976423 -2.42941 --1.30706 -1.29125 0.983333 2.13043 -0.980554 -0.0642933 0.415402 1.15137 -0.980554 -0.0642933 0.277315 -1.12437 --1.51232 0.71092 1.83461 -1.20236 --1.51232 0.71092 -1.61236 1.47145 -1.72855 -0.938808 1.94008 2.12649 -1.72855 -0.938808 -1.79886 -1.90744 --1.13412 1.09756 -0.806458 1.99052 --1.13412 1.09756 0.834877 -1.58035 --1.13412 1.09756 -0.0284191 -0.410169 -1.11049 1.5119 -2.5865 0.292341 -1.11049 1.5119 2.50331 -0.560674 --1.72274 -0.563208 2.29437 1.03687 --1.72274 -0.563208 -2.0532 -1.21788 -1.68477 -1.32492 2.66777 1.79749 -1.68477 -1.32492 -2.61745 -1.58566 --0.75252 -0.818758 -0.42044 -1.39654 --0.75252 -0.818758 0.704629 0.65918 --0.75252 -0.818758 -0.284189 0.737357 -0.895905 -0.502354 0.902657 1.00989 -0.895905 -0.502354 -0.909108 -0.194189 --1.19735 0.592935 -1.08621 1.21872 --1.19735 0.592935 1.39539 -0.818224 --1.19735 0.592935 -0.309186 -0.400498 --0.80779 -1.06223 -0.348876 -1.73427 --0.80779 -1.06223 0.112547 1.08301 --0.80779 -1.06223 0.236328 0.651261 --1.80148 -0.596373 2.43138 1.13349 --1.80148 -0.596373 -2.21152 -1.29992 --0.280448 1.58041 -1.19492 -1.72161 --0.280448 1.58041 0.843306 1.85464 --0.280448 1.58041 0.351613 -0.133023 -0.434198 -0.885719 -1.24033 0.314935 -0.434198 -0.885719 0.992108 0.369542 -0.434198 -0.885719 0.248219 -0.684477 -1.13691 -0.485252 0.951405 1.31859 -1.13691 -0.485252 -0.275287 -0.944661 -1.13691 -0.485252 -0.676118 -0.373928 --0.945654 0.526878 -0.741581 1.10341 --0.945654 0.526878 1.1188 -0.578333 --0.945654 0.526878 -0.377215 -0.525079 --0.568923 0.79178 -0.233432 1.27327 --0.568923 0.79178 -0.442918 -0.791541 --0.568923 0.79178 0.676351 -0.481731 --0.197763 0.803817 0.0846299 1.05924 --0.197763 0.803817 -0.751206 -0.734578 --0.197763 0.803817 0.666576 -0.324662 -1.67868 -0.116326 0.390297 2.21213 -1.67868 -0.116326 -0.0476921 -2.16823 -1.09356 1.73664 -2.99057 0.0675777 -1.09356 1.73664 2.8894 -0.281156 --1.41482 1.11097 -1.28067 2.17064 --1.41482 1.11097 1.35872 -1.87212 --1.41482 1.11097 -0.0780475 -0.298524 -1.98017 1.3402 2.91169 -2.39824 -1.98017 1.3402 -2.84691 2.23555 --1.76492 -0.670408 -2.12036 -1.44677 -1.558 1.82078 3.55853 -1.09783 -1.558 1.82078 -3.58549 0.926163 --0.675576 1.78823 0.544346 2.65795 --0.675576 1.78823 -0.749887 -2.47987 --0.675576 1.78823 0.205541 -0.178078 --1.78304 1.56611 -1.71021 3.3119 --1.78304 1.56611 1.73353 -3.13574 -1.215 -1.40114 2.41428 0.85503 -1.215 -1.40114 -2.45595 -0.570891 -1.215 -1.40114 0.0416657 -0.284139 --1.38716 1.97616 -0.52388 3.79696 --1.38716 1.97616 0.465332 -3.63537 -0.385247 -1.47164 -1.8916 0.822517 -0.385247 -1.47164 1.49545 -0.591494 -1.51798 -1.41227 2.70579 1.40191 -1.51798 -1.41227 -2.69027 -1.17053 -1.50388 -1.44931 2.76498 1.34306 -1.50388 -1.44931 -2.75757 -1.11475 --0.00130175 0.358293 -0.625283 -0.374665 --0.00130175 0.358293 0.0207323 0.710463 -1.43705 0.833852 1.6036 -1.64847 -1.43705 0.833852 -1.42461 1.32279 -1.61897 -1.5255 3.01512 1.50323 -1.61897 -1.5255 -3.00376 -1.30187 --1.56599 1.80889 -1.05273 3.63515 --1.56599 1.80889 1.02777 -3.46188 --0.627492 1.06466 0.440406 -0.487199 -1.5666 1.63334 3.18453 -1.30006 -1.5666 1.63334 -3.19303 1.10552 --0.699659 -0.994946 -0.256405 -1.57674 --0.699659 -0.994946 -0.212938 0.979192 --0.699659 -0.994946 0.469343 0.59755 -0.00209028 0.852304 -0.9327 -0.65831 -0.00209028 0.852304 0.222269 0.947571 -0.00209028 0.852304 0.710431 -0.289261 -1.64069 -0.974043 1.96093 1.94068 -1.64069 -0.974043 -1.82981 -1.69649 --1.1298 -0.974595 -0.865784 -1.79287 --1.1298 -0.974595 0.959506 1.35026 --1.51165 -1.4783 -1.22367 -2.927 --1.51165 -1.4783 1.2296 2.70262 --1.51165 -1.4783 -0.00592568 0.224381 -1.59447 -1.60295 3.14916 1.38452 -1.59447 -1.60295 -3.15064 -1.18937 --0.447164 0.904897 -0.0454787 1.30898 --0.447164 0.904897 -0.556881 -0.902451 --0.447164 0.904897 0.60236 -0.406532 -0.501415 -0.888087 -1.27635 0.246165 -0.501415 -0.888087 1.0503 0.411587 -1.96868 -1.18947 2.58253 2.47206 -1.96868 -1.18947 -2.49471 -2.30419 --0.0567562 -1.33144 -1.25457 1.17065 --0.0567562 -1.33144 0.733138 -1.26761 --1.76713 1.91442 -1.37969 4.04625 --1.76713 1.91442 1.368 -3.89924 -0.526872 -1.2899 -1.77828 0.471342 -0.526872 -1.2899 1.44281 -0.0683473 --1.69596 1.10418 -1.82379 2.30313 --1.69596 1.10418 1.92336 -2.08139 -0.0235097 1.68535 -1.74017 -1.52971 -0.0235097 1.68535 1.38788 1.52901 -1.96832 -1.85586 4.03707 1.94968 -1.96832 -1.85586 -4.02916 -1.81334 --1.72048 1.58842 -1.56127 3.31068 --1.72048 1.58842 1.57623 -3.12869 -1.76228 -0.0482307 0.2516 2.3627 -1.76228 -0.0482307 0.06407 -2.34645 -1.76228 -0.0482307 -0.31567 -0.0162489 -1.65137 0.229979 0.600612 -2.16783 -1.65137 0.229979 -0.258205 2.07839 -1.65137 0.229979 -0.342408 0.0894403 --0.96871 -1.96754 0.262647 -3.3132 --0.96871 -1.96754 -0.390131 3.1489 --0.96871 -1.96754 0.127484 0.164303 -1.67073 -1.42671 2.86025 1.69019 -1.67073 -1.42671 -2.82864 -1.48565 -1.67073 -1.42671 -0.0316085 -0.204545 --0.912865 -1.10033 -0.468563 -1.85694 --0.912865 -1.10033 0.378675 1.32131 -1.17715 0.622341 1.15693 -1.33163 -1.17715 0.622341 -0.837794 0.733618 -1.17715 0.622341 -0.319138 0.59801 --1.3703 0.532408 -1.37644 1.12786 -0.0747593 -0.977946 -1.082 0.703579 -0.0747593 -0.977946 0.346987 -0.926542 -0.0747593 -0.977946 0.735014 0.222964 -0.336232 1.47202 -1.84242 -0.88681 -0.336232 1.47202 1.42041 0.683366 --1.47273 -1.22452 1.37551 2.14627 -1.81759 0.0549181 0.257717 -2.47153 -1.81759 0.0549181 0.0398985 2.45442 -1.81759 0.0549181 -0.297615 0.0171134 -1.69665 1.70553 3.45508 -1.49958 -1.69665 1.70553 -3.45624 1.32706 -0.864544 -1.90434 -3.06708 0.520527 -0.864544 -1.90434 2.91745 -0.347422 -0.83735 0.894817 1.3283 -0.733545 -0.83735 0.894817 -1.4022 0.166373 -0.83735 0.894817 0.0739032 0.567172 --0.936656 -1.55942 -0.125136 -2.5784 --0.936656 -1.55942 -0.021498 2.31107 --0.936656 -1.55942 0.146634 0.26733 --1.94986 1.59756 -2.04797 3.50602 --1.94986 1.59756 2.07916 -3.35174 --1.94986 1.59756 -0.0311952 -0.154277 -0.21795 0.505698 -0.826502 -0.307602 --0.58162 -1.57528 0.432688 -2.22563 --0.58162 -1.57528 -0.702091 2.00413 --0.579058 1.48858 0.338179 2.10161 --0.579058 1.48858 -0.628638 -1.85054 --0.579058 1.48858 0.290459 -0.25107 --0.421948 1.98837 -1.42942 -2.53953 --0.421948 1.98837 1.20982 2.63732 --0.421948 1.98837 0.2196 -0.097786 --1.56345 -1.7847 -1.06986 -3.5832 --1.56345 -1.7847 1.04657 3.40669 --1.48623 -0.903503 -1.50643 -1.8224 --1.48623 -0.903503 1.65968 1.5354 --1.48623 -0.903503 -0.153252 0.287 -1.85239 -0.787143 1.69865 2.43672 -1.85239 -0.787143 -1.52562 -2.25817 -1.68743 -0.457807 1.02083 2.21474 -1.68743 -0.457807 -0.734014 -2.05425 -1.68743 -0.457807 -0.286813 -0.160488 --1.59251 -1.88032 -1.04013 -3.80794 --1.59251 -1.88032 1.01303 3.64519 --1.88723 -1.80644 -1.74062 -3.91756 --1.88723 -1.80644 1.74717 3.77108 -1.01987 0.0789353 0.426739 -1.19773 -1.01987 0.0789353 0.24947 1.16154 -1.01987 0.0789353 -0.676209 0.0361862 --1.87746 1.43739 -2.00436 3.10469 --1.87746 1.43739 2.05142 -2.93219 --1.48484 0.454515 1.91411 -0.746048 --1.48484 0.454515 -1.58703 0.98444 -1.03279 1.98852 -3.40488 -0.301431 -1.03279 1.98852 3.29098 0.13823 -1.03279 1.98852 0.113896 0.163201 --0.675296 -1.81383 0.576168 -2.69832 --0.675296 -1.81383 -0.778235 2.52632 --1.54586 -1.19318 -1.48051 -2.39766 --1.54586 -1.19318 1.54917 2.1449 --1.54586 -1.19318 -0.0686565 0.252756 -1.39445 1.37027 2.52139 -1.20532 -1.39445 1.37027 -2.51857 0.945289 -1.32627 1.47381 2.65038 -0.986277 -1.32627 1.47381 -2.67773 0.735277 -1.50469 -0.612794 -0.284441 -0.26866 -0.178376 0.4714 -0.785444 -0.316579 -0.178376 0.4714 0.659235 -0.429346 -0.178376 0.4714 0.126208 0.745924 -1.96584 0.70941 1.58242 -2.69369 -1.96584 0.70941 -1.4049 2.54754 --1.13348 -1.1408 -0.779291 -2.05986 --1.13348 -1.1408 0.788002 1.66319 --0.547812 0.846443 -0.454021 -0.843912 --0.547812 0.846443 0.635233 -0.472569 --1.42807 -0.577316 1.76357 0.925196 --1.42807 -0.577316 -1.47744 -1.21156 --1.42807 -0.577316 -0.286124 0.28636 -1.4994 0.0854462 0.357478 -1.88873 -1.4994 0.0854462 0.0630527 1.84822 --1.89505 0.322109 -2.4467 0.720479 -0.820851 1.78187 -2.80578 -0.467986 -0.820851 1.78187 2.63856 0.268844 -1.11828 1.33087 2.2018 -0.756755 -1.11828 1.33087 -2.2588 0.437279 -1.11828 1.33087 0.0569941 0.319476 -1.54436 -1.62872 3.15427 1.25974 -1.54436 -1.62872 -3.16517 -1.0621 -1.73335 -0.984259 -0.129061 -0.218191 -0.354764 -1.00405 -1.31406 0.466668 -0.354764 -1.00405 0.974354 0.218495 -0.354764 -1.00405 0.339708 -0.685163 --0.802734 -1.47953 0.00667236 -2.32177 --0.802734 -1.47953 -0.20803 2.02881 -1.83183 -0.708179 -0.194163 -0.174779 -1.61703 -0.659538 1.37137 2.03566 -1.61703 -0.659538 -1.13035 -1.80415 -1.61703 -0.659538 -0.241019 -0.231503 -0.969555 0.599534 1.04543 -1.06228 -0.969555 0.599534 -0.975474 0.320714 -0.969555 0.599534 -0.0699516 0.741563 -0.241005 1.88739 -2.29774 -1.50602 -0.241005 1.88739 2.02756 1.43798 -0.241005 1.88739 0.270184 0.0680457 -0.0490118 -0.144522 -0.491295 0.215657 -0.0490118 -0.144522 0.431742 0.313864 -0.0490118 -0.144522 0.0595522 -0.529521 --1.60202 0.954221 -1.70636 1.96392 --1.60202 0.954221 1.84369 -1.71457 -0.311044 -1.13011 -1.41488 0.604727 -0.311044 -1.13011 0.947155 0.0482764 -0.311044 -1.13011 0.467727 -0.653003 -1.50041 0.31509 0.746312 -1.90074 -1.50041 0.31509 -0.353731 1.75001 -1.50041 0.31509 -0.392581 0.150733 --1.62052 -0.880345 -1.77049 -1.82715 --1.62052 -0.880345 1.92956 1.58428 --1.62052 -0.880345 -0.159073 0.242878 --1.95379 -1.21424 -2.30593 -2.66902 --1.95379 -1.21424 2.38976 2.50011 -1.01236 1.73966 -2.9198 -0.0858333 -1.01236 1.73966 2.79967 -0.128683 --1.84813 -1.38719 -1.97494 -2.97765 --1.84813 -1.38719 2.0277 2.79809 -0.0851939 1.62344 -1.74451 -1.37399 -0.0851939 1.62344 1.36346 1.34647 -1.77125 -1.90555 3.95546 1.46445 -1.77125 -1.90555 -3.96631 -1.31726 -0.640098 1.72207 -2.51884 -0.706262 -0.640098 1.72207 2.29491 0.508467 -0.740184 1.02116 -1.54736 -0.0136123 -0.740184 1.02116 1.39401 -0.513196 -0.0830495 -1.64293 -1.76568 1.40134 -0.0830495 -1.64293 1.39389 -1.37494 -1.93363 0.0995543 0.336558 -2.70862 -1.93363 0.0995543 -0.0735069 2.68234 -1.93363 0.0995543 -0.263051 0.0262809 --0.992525 -1.54214 -0.23341 -2.60374 --0.992525 -1.54214 0.106208 2.33139 --0.992525 -1.54214 0.127201 0.272356 -1.31636 1.34591 2.40925 -1.08489 -1.31636 1.34591 -2.41753 0.805398 -1.31636 1.34591 0.00827858 0.279494 -0.765754 0.655212 1.0166 -0.803844 -0.765754 0.655212 -1.09079 0.0976664 -0.765754 0.655212 0.0741926 0.706178 -0.0647872 -1.15685 -1.22506 0.871638 -0.0647872 -1.15685 0.550386 -0.983347 -0.0647872 -1.15685 0.674677 0.111709 -0.41174 -1.33781 1.3074 -0.312529 -1.83243 -1.80546 3.79697 1.69582 -1.83243 -1.80546 -3.79488 -1.54486 -1.83243 -1.80546 -0.0020889 -0.150965 --0.321373 1.43849 -1.00026 -1.5497 --0.321373 1.43849 0.607225 1.73531 --0.672279 1.35557 0.0732975 2.01663 --0.672279 1.35557 -0.35535 -1.68486 --0.950081 -0.779894 -0.686337 -1.43138 --0.950081 -0.779894 0.915726 0.858862 -0.777504 -0.946965 1.34207 0.622177 -0.777504 -0.946965 -1.45883 -0.0671545 -0.955148 1.44919 -2.35361 0.0630221 -0.955148 1.44919 2.22833 -0.364509 -0.955148 1.44919 0.125278 0.301486 --1.10718 1.08434 -0.771249 1.95366 --1.10718 1.08434 0.797741 -1.52599 -1.15247 -1.71383 -3.00148 -0.200072 -1.15247 -1.71383 2.9142 0.416353 -1.76087 -1.05586 2.18584 2.12625 -1.76087 -1.05586 -2.07435 -1.91545 --1.95201 -1.71244 -1.96319 -3.76287 --1.95201 -1.71244 1.98268 3.61579 -1.50546 -0.13944 0.448648 1.90586 -1.50546 -0.13944 -0.0342623 -1.84007 --1.2388 -1.04967 -1.00491 -1.96999 --1.2388 -1.04967 1.08007 1.59658 -1.26149 -0.881743 1.58865 1.3346 -1.26149 -0.881743 -1.46088 -0.925077 -0.125877 0.999697 -1.14139 -0.67901 -0.125877 0.999697 0.376086 0.881491 -0.125877 0.999697 0.765302 -0.202482 --0.0941304 -1.87642 -1.81379 1.94716 --0.0941304 -1.87642 1.53349 -1.9785 --1.7992 -0.246284 -2.23941 -0.549001 --0.143594 -1.99347 -1.89151 2.1904 --0.143594 -1.99347 1.64496 -2.2278 --1.56932 0.433268 2.06646 -0.741404 -1.14625 1.0903 1.83797 -1.01204 -1.14625 1.0903 -1.82994 0.622024 -1.14625 1.0903 -0.00802856 0.390018 --0.365111 0.241007 -0.277455 0.736318 --0.365111 0.241007 0.745389 -0.183494 -0.788928 1.07372 -1.6448 0.0319635 -0.788928 1.07372 1.50379 -0.520946 -1.23953 -0.503725 1.00404 1.45987 -1.23953 -0.503725 -0.495289 -1.07436 -1.23953 -0.503725 -0.508754 -0.385506 -0.596166 -1.67349 -2.39653 0.724636 -0.596166 -1.67349 2.15092 -0.518421 -1.84572 -0.944473 2.00959 2.35415 -1.84572 -0.944473 -1.87288 -2.16418 -1.84572 -0.944473 -0.136711 -0.189966 -1.35266 0.543391 -0.713512 1.29009 --1.77498 -0.136873 2.50292 0.254478 --1.77498 -0.136873 -2.18674 -0.306707 --1.77498 -0.136873 -0.316175 0.0522294 -0.680726 0.109644 0.299437 0.860198 -0.680726 0.109644 -0.769876 0.00323252 -1.6203 -0.0578356 0.290118 2.09751 -1.6203 -0.0578356 0.0780707 -2.07386 -1.6203 -0.0578356 -0.368188 -0.0236468 -1.1812 1.84283 -3.27734 0.134135 -1.1812 1.84283 3.19096 -0.323425 --0.223189 1.44071 -1.14233 -1.46489 --0.223189 1.44071 0.722109 1.61035 --0.223189 1.44071 0.420225 -0.145469 -1.94762 1.81379 3.92333 -1.94248 -1.94762 1.81379 -3.91343 1.80172 --1.41147 1.04776 -1.30713 2.05412 --1.41147 1.04776 1.4059 -1.74777 --1.41147 1.04776 -0.0987746 -0.306347 -1.69256 0.711493 1.49292 -2.15671 -1.69256 0.711493 -1.28136 1.94296 -1.69256 0.711493 -0.211559 0.213756 --0.755467 -1.63744 0.243902 -2.51423 --0.755467 -1.63744 -0.446648 2.28404 --0.239645 1.94744 -1.67992 -2.24276 --0.239645 1.94744 1.42997 2.30673 --0.239645 1.94744 0.249948 -0.063965 --0.714578 -1.14414 -0.167403 -1.77381 --0.714578 -1.14414 -0.154798 1.28625 -1.7278 -0.180641 0.507354 2.30837 -1.7278 -0.180641 -0.187292 -2.24502 -1.7278 -0.180641 -0.320062 -0.063352 -0.378725 -1.65446 -2.13408 1.02557 -0.378725 -1.65446 1.81319 -0.870482 -0.378725 -1.65446 0.320889 -0.155084 --0.166249 -0.620677 0.00314164 -0.925898 --0.166249 -0.620677 -0.68944 0.596173 --0.77439 0.82789 -0.442105 1.41799 --0.77439 0.82789 0.704645 -0.68999 --1.40087 -0.427243 1.78742 0.668519 --1.40087 -0.427243 -1.42791 -0.937891 --1.67232 1.72046 -1.35214 3.5471 --1.67232 1.72046 1.34745 -3.37316 --1.67232 1.72046 0.0046938 -0.173943 --0.879585 -0.309298 1.14606 0.322172 --0.879585 -0.309298 -0.669221 -0.859961 --1.37397 -1.10511 -1.21002 -2.13806 --1.37397 -1.10511 1.28486 1.82536 --1.37397 -1.10511 -0.0748378 0.3127 --1.36466 -0.649456 1.61847 1.00868 --1.36466 -0.649456 -1.35604 -1.33254 --1.43866 1.80067 -0.803273 3.49862 --1.43866 1.80067 0.761599 -3.31448 -1.95515 1.79443 3.88701 -1.97713 -1.95515 1.79443 -3.875 1.83572 -0.51862 -0.447106 0.169766 -0.75421 --1.43804 0.646386 1.74272 -1.04674 --1.43804 0.646386 -1.48723 1.33827 -0.373568 -1.26651 -1.62184 0.646187 -0.373568 -1.26651 1.12492 -0.210482 -0.373568 -1.26651 0.496924 -0.435704 --0.507235 -0.223638 0.844672 0.175152 --0.507235 -0.223638 -0.37773 -0.765577 --0.507235 -0.223638 -0.466942 0.590425 --0.6459 1.43476 0.188584 2.09896 --0.6459 1.43476 -0.464897 -1.81053 -1.37847 -1.20944 2.21772 1.30808 -1.37847 -1.20944 -2.18313 -1.01423 -0.900929 -1.5747 -2.52531 0.133328 -0.900929 -1.5747 2.37592 0.128573 -0.900929 -1.5747 0.149384 -0.261902 -1.71901 -0.248196 0.634442 2.29275 -1.71901 -0.248196 -0.31866 -2.20533 -0.537839 1.82004 -2.56155 -0.975985 --0.790132 0.956036 -0.392908 1.58503 --0.790132 0.956036 0.506247 -0.764443 --0.790132 0.956036 -0.113338 -0.820584 -1.31737 0.156098 0.49408 -1.60499 -1.31737 0.156098 0.0189674 1.51788 --1.21324 -0.051698 -0.717447 0.32915 --1.68374 0.626786 2.19274 -1.1391 --1.68374 0.626786 -1.96326 1.34122 --1.68374 0.626786 -0.229483 -0.20212 -1.91123 0.739092 1.62423 -2.57243 -1.91123 0.739092 -1.44647 2.41193 -1.91123 0.739092 -0.177761 0.160495 --0.527766 1.40366 0.313504 1.93269 --0.527766 1.40366 -0.647435 -1.66314 --0.527766 1.40366 0.333931 -0.269547 --1.20115 1.81658 -0.330067 3.29384 --1.20115 1.81658 0.246714 -3.09936 -1.82135 -1.36099 2.84235 2.04807 -1.82135 -1.36099 -2.78808 -1.86227 -1.29198 0.542118 -0.654554 1.14808 -1.80796 -1.68175 3.5069 1.75722 -1.80796 -1.68175 -3.49531 -1.59376 -1.80796 -1.68175 -0.0115868 -0.163456 -0.304391 1.59551 -1.96995 -1.06129 -0.304391 1.59551 1.60349 0.920392 -0.304391 1.59551 0.366465 0.140895 --1.03938 -0.235373 1.34395 0.283272 --1.03938 -0.235373 -0.819667 -0.746744 --1.03938 -0.235373 -0.524279 0.463472 --0.00750494 0.0483237 -0.306904 -0.198967 --0.00750494 0.0483237 -0.0186751 0.365249 --0.00750494 0.0483237 0.325579 -0.166282 -0.76737 -1.41553 -2.15162 0.220879 -0.76737 -1.41553 1.95416 0.104266 -0.76737 -1.41553 0.197455 -0.325145 --0.0359417 0.194419 -0.486003 -0.325886 --0.0359417 0.194419 -0.0315692 0.583557 --0.0359417 0.194419 0.517572 -0.257671 --1.64187 1.93989 -1.08621 3.98095 --1.64187 1.93989 1.06063 -3.82803 -0.355121 1.9431 -2.52923 -1.4091 -0.355121 1.9431 2.28726 1.31834 -0.355121 1.9431 0.241964 0.0907608 -0.0151874 0.379166 0.611904 -0.347326 --1.76801 0.885169 -2.06423 1.88943 --1.76801 0.885169 2.21641 -1.68645 --1.76801 0.885169 -0.15218 -0.202983 -1.37104 1.78072 -3.33204 0.571361 -1.37104 1.78072 3.28167 -0.762144 -1.37104 1.78072 0.0503679 0.190783 --1.94542 -0.149027 2.82945 0.295094 --1.94542 -0.149027 -2.56792 -0.336721 --1.70888 -1.67811 -1.46457 -3.4893 --1.70888 -1.67811 1.46804 3.31475 --1.70888 -1.67811 -0.00346315 0.174548 -1.86424 0.394254 0.925557 -2.56178 -1.86424 0.394254 -0.67291 2.45317 -1.86424 0.394254 -0.252647 0.108611 -1.05009 -1.42982 -2.3909 -0.24479 -1.05009 -1.42982 2.29876 0.543382 -0.417674 -1.96959 -2.6506 1.34627 -0.417674 -1.96959 2.42335 -1.24558 -0.417674 -1.96959 0.227247 -0.100692 --0.0938297 1.98311 -1.95457 -2.10781 --0.0938297 1.98311 1.70289 2.13363 --0.58552 -1.13183 -0.0182656 -1.6546 --0.58552 -1.13183 -0.399964 1.23206 --0.58552 -1.13183 0.418229 0.422543 -1.55603 -1.33384 2.58624 1.53907 -1.55603 -1.33384 -2.5514 -1.30397 --1.14522 -1.16804 -0.781226 -2.11158 --1.14522 -1.16804 0.782758 1.72871 --0.64315 -1.46087 0.219611 -2.13238 --0.64315 -1.46087 -0.491371 1.85558 -1.72578 1.60202 3.26537 -1.65463 -1.72578 1.60202 -3.25238 1.47497 --1.99337 0.874349 2.68809 -1.79258 --1.99337 0.874349 -2.54589 1.94736 --1.99337 0.874349 -0.142197 -0.154783 -0.981287 1.87565 -3.13876 -0.278093 -0.981287 1.87565 3.0126 0.0943538 -1.16757 -1.14045 1.93447 1.00592 -1.16757 -1.14045 -1.93403 -0.638378 --0.768104 -1.7507 0.351858 -2.70791 --0.768104 -1.7507 -0.538646 2.50906 -0.228484 -0.0901127 0.38204 0.505998 -0.228484 -0.0901127 0.23506 -0.57757 -0.228484 -0.0901127 -0.6171 0.071572 -1.55815 -0.339333 0.791925 1.99805 -1.55815 -0.339333 -0.430686 -1.8488 --1.40983 -1.55808 -0.963729 -3.00029 --1.40983 -1.55808 0.941587 2.77373 -1.62225 -0.381424 0.872515 2.10716 -1.62225 -0.381424 -0.546026 -1.95589 --0.189379 0.0323535 0.579792 -0.0343143 --0.189379 0.0323535 -0.263273 0.512886 --0.189379 0.0323535 -0.316519 -0.478572 -0.196631 -0.773749 -1.00676 0.463563 -0.117301 -1.44607 -1.57467 1.12329 -0.117301 -1.44607 1.08716 -1.08028 -1.57158 0.247583 0.632298 -2.02528 -1.57158 0.247583 -0.260053 1.91779 -1.57158 0.247583 -0.372244 0.1075 -1.72171 1.01825 2.09011 -2.07095 -1.72171 1.01825 -1.96993 1.84996 -1.0106 -0.944605 -0.0001634 -0.492842 --0.757776 1.75366 0.371939 2.7007 --0.757776 1.75366 -0.561117 -2.50372 -1.50904 -1.47918 2.82724 1.32688 -1.50904 -1.47918 -2.82366 -1.10374 -0.151775 -1.64488 1.48619 -1.25922 -0.848641 1.52301 -2.39277 -0.177407 -0.848641 1.52301 2.2262 -0.102896 -0.848641 1.52301 0.166572 0.280304 --1.3639 1.10382 -1.19272 2.13032 --1.3639 1.10382 1.26663 -1.81401 -1.95694 1.93668 4.20885 -1.8465 -1.95694 1.93668 -4.20756 1.71466 -0.547872 -0.172066 0.507982 0.746687 -0.547872 -0.172066 0.266509 -0.775944 -0.547872 -0.172066 -0.774491 0.0292561 --0.565954 1.80575 0.737511 2.54822 --0.565954 1.80575 -0.965518 -2.39168 -1.89796 1.18734 2.53432 -2.32504 -1.89796 1.18734 -2.44727 2.14495 -0.211323 -1.49205 -1.73417 1.06457 -0.211323 -1.49205 1.28477 -0.954268 -0.211323 -1.49205 0.449399 -0.110304 -0.57339 1.14258 1.3419 -0.197599 --1.75133 -0.270116 2.43881 0.49844 --1.75133 -0.270116 -2.1343 -0.60028 --1.48601 -0.95819 -1.4844 -1.92376 --1.48601 -0.95819 1.61862 1.63765 -0.845123 -0.679944 1.08391 0.877731 -0.845123 -0.679944 -1.11387 -0.190132 -0.845123 -0.679944 0.0299584 -0.687599 --1.40633 1.37411 -1.09945 2.65024 --1.40633 1.37411 1.10727 -2.39022 --1.08118 0.988555 -0.783365 1.7902 --1.08118 0.988555 0.858777 -1.32018 --1.35458 1.30594 -1.0519 2.4884 --1.35458 1.30594 1.06509 -2.2042 -1.66178 -0.527056 1.14293 2.15382 -1.66178 -0.527056 -0.867746 -1.96709 --0.421639 1.27979 0.309091 1.66979 --0.421639 1.27979 -0.730076 -1.39036 --1.89063 -1.20566 -2.17456 -2.61597 --1.89063 -1.20566 2.25871 2.43628 --1.22293 1.08942 1.01168 -1.6556 --1.15878 1.32297 -0.696356 2.37846 --1.15878 1.32297 0.655139 -2.05154 -0.789017 1.7238 -2.67435 -0.463467 -0.789017 1.7238 2.49468 0.250568 --0.967626 -0.0621403 1.28561 0.0705237 --0.967626 -0.0621403 -0.67555 -0.620206 --0.967626 -0.0621403 -0.610062 0.549683 --1.83253 0.590353 2.49464 -1.13464 --1.83253 0.590353 -2.27816 1.29295 -1.61217 1.52113 3.00041 -1.49339 -1.61217 1.52113 -2.98926 1.29058 --1.07913 -1.8826 -0.034564 -3.28556 --1.07913 -1.8826 -0.0737055 3.10234 -0.0857027 -1.73785 -1.88866 1.52122 -0.0857027 -1.73785 1.55734 -1.49519 --0.969877 1.70797 -0.029787 2.85958 --0.969877 1.70797 -0.105334 -2.63717 --0.8017 1.1626 -0.26894 1.86526 --0.8017 1.1626 0.0400219 -1.36775 --0.8017 1.1626 0.228918 -0.497508 --1.83221 1.12583 -2.09291 2.41621 --1.83221 1.12583 2.19086 -2.22428 --1.80794 0.90425 -2.13968 1.94343 --1.80794 0.90425 2.28557 -1.74911 -1.72202 -1.2399 2.52553 1.9328 -1.72202 -1.2399 -2.45601 -1.72147 --1.16229 -0.987456 -0.911019 -1.82917 --1.16229 -0.987456 1.00308 1.40722 --1.16229 -0.987456 -0.0920595 0.42195 -1.64709 1.76553 3.53315 -1.33836 -1.64709 1.76553 -3.5452 1.16757 -1.64709 1.76553 0.0120534 0.170795 --1.74816 1.21905 -1.86848 2.56464 --1.74816 1.21905 1.94533 -2.35885 --1.74816 1.21905 -0.0768477 -0.205792 -0.914134 0.906676 1.39959 -0.81981 -0.914134 0.906676 -1.43648 0.27859 -1.37208 -1.80354 -3.37961 -0.552607 -1.37208 -1.80354 3.32792 0.739705 -1.37208 -1.80354 0.0516935 -0.187098 --1.73266 1.50919 -1.64687 3.15452 --1.73266 1.50919 1.67342 -2.96682 --1.36081 0.818349 -1.30991 1.62602 --1.36081 0.818349 1.49724 -1.28988 --1.36081 0.818349 -0.187332 -0.336142 --0.775359 -0.387129 -0.567827 -0.935415 --0.775359 -0.387129 1.02096 0.36151 --0.775359 -0.387129 -0.45313 0.573905 -0.874321 -1.97088 -3.1976 0.576224 -0.874321 -1.97088 3.05383 -0.41595 --1.86093 0.157137 2.66351 -0.301985 --1.86093 0.157137 -2.3782 0.352691 --1.86093 0.157137 -0.285312 -0.0507063 -0.829493 1.04337 -1.61801 0.105804 -0.829493 1.04337 1.50399 -0.600451 -1.09117 1.87112 -3.24262 -0.0674101 -1.09117 1.87112 3.1386 -0.118047 --1.98559 1.82242 -1.94712 4.03798 --1.98559 1.82242 1.95902 -3.90076 --1.98559 1.82242 -0.0118994 -0.137216 -1.77163 -0.445576 -0.745399 -2.23667 -1.47865 1.56588 2.96821 -1.18894 -1.47865 1.56588 -2.98105 0.974563 -1.47865 1.56588 0.0128357 0.214378 --1.07935 0.619845 -0.9072 1.24416 --1.07935 0.619845 1.21572 -0.776341 -0.574381 0.121992 0.471199 -0.774678 -0.574381 0.121992 0.295787 0.790638 --1.89354 -0.411385 2.67672 0.803527 --1.89354 -0.411385 -2.43538 -0.916445 -1.83544 -0.640543 1.40351 2.45351 -1.83544 -0.640543 -1.19381 -2.28923 -1.83544 -0.640543 -0.209701 -0.164277 --1.32269 -0.656478 -1.28263 -1.33815 --1.32269 -0.656478 1.54614 0.994055 --1.03985 1.88986 0.04484 3.25506 --1.03985 1.88986 -0.160844 -3.0737 --1.37429 0.479262 1.72349 -0.740099 --1.37429 0.479262 -1.38323 1.03363 --0.810725 -1.24695 -0.215056 -1.98953 --0.810725 -1.24695 0.000835082 1.566 --0.810725 -1.24695 0.214221 0.423524 --1.85524 -1.04681 -2.17937 -2.26121 --1.85524 -1.04681 2.29321 2.07366 -0.390603 -0.569055 -0.943742 0.215629 -0.390603 -0.569055 0.772145 0.527334 -0.390603 -0.569055 0.171597 -0.742963 -0.417714 1.1419 -1.50966 -0.49433 -0.417714 1.1419 1.11949 -0.0657076 -0.417714 1.1419 0.390172 0.560037 --0.182139 -0.331213 -0.11494 -0.737142 --0.182139 -0.331213 -0.538926 0.477946 --0.182139 -0.331213 0.653866 0.259196 --1.08648 1.11973 -0.717275 1.99709 --1.08648 1.11973 0.718721 -1.57164 --1.83002 -0.269462 2.58717 0.512729 --1.83002 -0.269462 -2.30643 -0.6009 --1.20138 -0.974891 -0.980224 -1.82766 --1.20138 -0.974891 1.08497 1.4244 --1.6368 0.828336 -1.81986 1.73075 --1.6368 0.828336 1.99388 -1.49488 --1.6368 0.828336 -0.17402 -0.235862 --0.369193 1.82046 -1.31635 -2.19482 --0.369193 1.82046 1.05298 2.30688 -0.898246 0.63462 1.05723 -0.961051 -0.898246 0.63462 -1.04813 0.246136 -0.898246 0.63462 -0.00909599 0.714914 --1.74828 -0.366567 2.41024 0.677124 --1.74828 -0.366567 -2.12505 -0.808121 -0.570897 -0.545256 0.825042 0.671158 -0.570897 -0.545256 -0.975553 0.0725438 -0.570897 -0.545256 0.150511 -0.743702 --1.64222 -0.899014 -1.80629 -1.87159 --1.64222 -0.899014 1.95928 1.63459 -1.67586 1.07685 2.17663 -1.94833 -1.67586 1.07685 -2.0728 1.71725 -1.67586 1.07685 -0.103832 0.231076 --1.1102 -0.194957 1.44038 0.248474 --1.1102 -0.194957 -0.882952 -0.666841 --1.1102 -0.194957 -0.557432 0.418368 --1.10892 -1.54701 0.0906683 0.263809 --1.96284 1.91121 -1.81754 4.21916 --1.96284 1.91121 1.82118 -4.0859 --1.33991 1.78486 -0.625144 3.37251 --1.33991 1.78486 0.56876 -3.17908 --1.33991 1.78486 0.0563838 -0.193429 --0.819909 0.824437 -0.499435 1.43521 --0.819909 0.824437 0.737454 -0.745416 -1.70263 -0.0249124 0.215832 2.24511 -1.70263 -0.0249124 0.121197 -2.23599 -1.70263 -0.0249124 -0.337029 -0.0091219 --0.372161 -1.53729 0.669727 -1.92065 --0.372161 -1.53729 -1.01292 1.74548 --0.372161 -1.53729 0.343194 0.175172 --1.12283 -1.02262 -0.830372 -1.8649 -0.415382 -1.8025 -2.3915 1.14346 --1.27487 -0.097264 1.67773 0.139518 --1.27487 -0.097264 -1.03356 -0.383639 --1.27487 -0.097264 -0.644177 0.244121 -1.25146 -1.82716 -3.31422 -0.287415 -1.25146 -1.82716 3.24114 0.477027 --0.867039 -1.22581 0.141665 1.56534 --0.868877 1.30415 -0.25178 2.12023 --0.868877 1.30415 0.07763 -1.73523 --1.38855 -1.66328 -0.832334 -3.18363 --1.38855 -1.66328 0.794272 2.97308 --0.207154 1.86886 -1.63246 -2.07819 --0.207154 1.86886 1.35931 2.14187 -1.68723 1.23844 2.49846 -1.86498 -1.68723 1.23844 -2.43114 1.64649 -0.509492 -1.75023 -2.42113 0.940783 -0.509492 -1.75023 2.16466 -0.775316 -0.509492 -1.75023 0.256469 -0.165467 --1.56251 1.69606 -1.14718 3.4018 --1.56251 1.69606 1.13201 -3.21389 --1.14967 1.08089 0.882039 -1.56514 -1.31606 0.416079 0.888596 -1.59304 -1.31606 0.416079 -0.413043 1.33109 -1.31606 0.416079 -0.475553 0.26195 --0.999188 1.87793 0.104421 3.18792 --0.999188 1.87793 -0.228963 -3.005 -1.0239 -1.65195 -2.77045 -0.0160751 -1.0239 -1.65195 2.65503 0.252432 -0.420024 1.7078 -2.25702 -1.02655 -0.420024 1.7078 1.96518 0.872823 -0.155655 1.77591 -2.03054 -1.47912 -0.155655 1.77591 1.71686 1.42856 --0.413349 1.7019 0.827943 2.19613 --0.413349 1.7019 -1.1125 -2.04987 -1.75995 0.86579 1.814 -2.22224 -1.75995 0.86579 -1.65402 2.01434 --1.13213 1.4245 -0.571531 2.52971 --1.13213 1.4245 0.502205 -2.23082 -1.11993 1.85674 -3.24391 0.00196266 -1.11993 1.85674 3.14562 -0.189923 -1.11993 1.85674 0.0982938 0.187961 --1.00103 -1.5651 -0.22571 -2.64997 --1.00103 -1.5651 0.100585 2.3855 -1.73819 1.72764 3.54065 -1.56643 -1.73819 1.72764 -3.53986 1.40015 --1.67955 0.0614366 -1.97192 0.139067 -1.78591 -1.74934 3.63165 1.64796 -1.78591 -1.74934 -3.62854 -1.48815 -1.34004 -0.974398 -1.6834 -1.05448 -1.12879 -1.88599 -3.30906 0.010294 -1.12879 -1.88599 3.21208 0.172007 -0.838728 -1.05691 -1.64241 -0.113913 -0.838728 -1.05691 1.52972 0.599798 -0.838728 -1.05691 0.112683 -0.485885 --0.447327 -0.899671 -0.0492205 -1.30419 -0.407076 -1.62201 -2.1197 0.949811 -0.407076 -1.62201 1.79605 -0.774458 --1.20322 -0.198876 1.56266 0.271792 --1.20322 -0.198876 -1.00991 -0.614539 -1.92925 0.460619 -0.839743 2.56866 --0.19822 -1.57352 -1.30804 1.62714 --0.19822 -1.57352 0.936289 -1.73105 --1.37433 0.577925 1.67509 -0.897886 --1.37433 0.577925 -1.38119 1.20829 -1.71777 0.372638 0.867009 -2.28295 -1.71777 0.372638 -0.570633 2.15477 --0.764026 -1.4289 0.0147043 -2.20877 --0.764026 -1.4289 -0.238472 1.89712 --0.764026 -1.4289 0.223768 0.311644 -1.56062 -1.00362 1.97056 1.77541 -1.56062 -1.00362 -1.85181 -1.5076 -1.56062 -1.00362 -0.118745 -0.26781 --1.20863 -1.59852 -0.555115 -2.90105 --1.20863 -1.59852 0.486382 2.65972 --1.20863 -1.59852 0.0687324 0.241335 --1.97126 0.236132 2.8697 -0.472113 --1.97126 0.236132 -2.6222 0.533917 --1.97126 0.236132 -0.247503 -0.0618037 --0.917584 -1.1829 -0.418112 -1.97983 --0.917584 -1.1829 0.295358 1.51717 -1.42181 -1.40855 2.61614 1.22282 -1.42181 -1.40855 -2.61519 -0.974489 -0.519197 1.01568 -1.42874 -0.292954 -0.519197 1.01568 1.16252 -0.301391 -0.519197 1.01568 0.266218 0.594345 -1.46625 1.9424 -3.75785 0.616536 -1.46625 1.9424 3.71173 -0.778614 -1.46625 1.9424 0.0461184 0.162078 --1.66794 0.178083 2.30286 -0.316731 --1.66794 0.178083 -1.95017 0.40035 --1.66794 0.178083 -0.35269 -0.0836193 -0.229067 -1.37627 -1.6154 0.920037 -0.229067 -1.37627 1.06403 -0.773688 -0.229067 -1.37627 0.551378 -0.146349 --0.245403 -1.85092 -1.55079 2.09707 --0.245403 -1.85092 1.27714 -2.17307 --0.245403 -1.85092 0.273651 0.0759991 --0.000431819 1.54558 -1.54475 -1.37571 --0.000431819 1.54558 1.1289 1.39529 --1.96437 -1.74659 -1.96297 -3.84932 --1.96437 -1.74659 1.98006 3.70554 --1.04986 -0.460776 1.27472 0.559289 --1.04986 -0.460776 -0.876965 -1.0233 -1.93742 -1.24032 2.6703 2.37399 -1.93742 -1.24032 -2.59142 -2.20187 -1.413 -0.0919187 0.381671 1.74629 -1.413 -0.0919187 0.0816668 -1.69879 -1.413 -0.0919187 -0.463338 -0.047509 --0.144893 -1.60915 0.367248 0.0763652 -1.38723 0.831714 -1.39824 1.21441 -1.88383 0.408434 0.956172 -2.59873 -1.88383 0.408434 -0.710351 2.48984 -1.54229 -1.89225 3.69027 0.990515 -1.54229 -1.89225 -3.72408 -0.826478 --1.81286 1.09166 -2.06942 2.33518 --1.81286 1.09166 2.17405 -2.13896 --1.81286 1.09166 -0.104635 -0.196222 -0.864031 1.74766 -2.79006 -0.358564 -0.864031 1.74766 2.63241 0.148229 -0.452726 -1.81311 -2.45176 1.09966 -0.452726 -1.81311 2.19603 -0.96283 -0.452726 -1.81311 0.255737 -0.136829 --1.55698 0.109605 2.11813 -0.184939 --1.55698 0.109605 -1.69608 0.255891 -1.15675 1.38518 2.33064 -0.769373 -1.15675 1.38518 -2.38525 0.471944 -1.15675 1.38518 0.0546116 0.297429 -0.639097 0.570925 0.130028 0.74036 -0.994453 -0.176861 0.541995 1.17539 -0.994453 -0.176861 0.158176 -1.09611 --1.52648 0.0441685 2.07127 -0.0733602 --1.52648 0.0441685 -1.61803 0.106002 -1.90461 1.64444 3.51122 -1.99871 -1.90461 1.64444 -3.48844 1.8425 -1.90461 1.64444 -0.0227869 0.156214 --0.375084 0.463853 -0.209288 0.901626 --0.791657 -1.62531 0.17416 -2.53472 --0.791657 -1.62531 -0.366551 2.29686 -1.3539 1.7996 -3.35482 0.519135 -1.3539 1.7996 3.30048 -0.707998 --0.894358 0.130152 1.199 -0.138527 --0.894358 0.130152 -0.647929 0.698723 --0.894358 0.130152 -0.551066 -0.560196 --1.44901 -0.409934 1.87168 0.658685 --1.44901 -0.409934 -1.51633 -0.901248 -0.777742 -0.270396 0.627866 0.937333 -0.777742 -0.270396 0.176048 -0.888964 -1.53572 -0.160274 0.481691 1.95962 -1.53572 -0.160274 -0.0831422 -1.88665 -1.53572 -0.160274 -0.398548 -0.0729693 -1.04131 0.626317 1.1089 -1.14297 -1.04131 0.626317 -0.968382 0.439276 -1.04131 0.626317 -0.140516 0.703694 -1.19744 -0.231357 0.609042 1.43496 -1.19744 -0.231357 -0.0223984 -1.29898 -1.19744 -0.231357 -0.586643 -0.135981 -1.98022 -0.375037 0.900745 2.79747 -1.98022 -0.375037 -0.671439 -2.70925 -1.16929 1.05046 1.79311 -1.07852 -1.16929 1.05046 -1.76468 0.682511 --1.83024 -1.13598 -2.08363 -2.43649 --1.83024 -1.13598 2.17954 2.24432 -0.152249 1.39073 1.0155 0.956213 -0.152249 1.39073 0.535714 0.0665137 -1.64559 -0.467334 1.03086 2.13651 -1.64559 -0.467334 -0.734014 -1.96227 --1.53245 1.78473 -1.00662 3.55472 --1.53245 1.78473 0.979338 -3.37563 --1.72125 0.834802 -1.98622 1.77079 --1.72125 0.834802 2.15369 -1.55846 -1.95381 1.40436 3.03092 -2.29597 -1.95381 1.40436 -2.97617 2.13202 --1.98885 1.77379 -1.99553 3.93078 --1.98885 1.77379 2.01171 -3.79085 -1.38705 0.631686 1.24645 -1.64996 -1.38705 0.631686 -0.942768 1.30842 -1.38705 0.631686 -0.303687 0.341546 --1.88327 1.39369 -2.04591 3.01449 --1.88327 1.39369 2.09956 -2.84051 --1.88327 1.39369 -0.0536459 -0.173977 -0.795092 -1.26869 -1.94267 0.0703597 -0.795092 -1.26869 1.76945 0.321325 -0.795092 -1.26869 0.173221 -0.391685 -0.725846 -1.75449 -2.66126 0.600543 -0.725846 -1.75449 2.46624 -0.401689 -0.725846 -1.75449 0.195022 -0.198854 -1.03854 -1.14738 1.83649 0.798875 -1.03854 -1.14738 -1.88293 -0.400142 --1.45394 -1.97438 -0.660764 -3.86333 --1.45394 -1.97438 0.611232 3.70423 --1.45394 -1.97438 0.0495318 0.159101 -1.43416 -1.96388 -3.77149 -0.527751 -1.43416 -1.96388 3.72021 0.688552 --0.773182 -0.881674 -0.413391 -1.48271 --0.773182 -0.881674 0.63159 0.713637 -0.0673446 1.74548 -1.87406 -1.55496 -0.0673446 1.74548 1.54541 1.53613 -0.12215 1.03285 -1.16687 -0.709344 -0.965078 -0.697381 1.16561 1.01248 -0.965078 -0.697381 -1.11385 -0.354811 --1.28679 -0.804415 -0.194813 0.369958 --1.90436 0.660513 2.60819 -1.30519 --1.90436 0.660513 -2.4167 1.45781 --1.90436 0.660513 -0.191492 -0.15262 --0.298031 1.25564 0.413864 1.50926 --0.298031 1.25564 -0.88948 -1.27339 --1.01773 -1.87647 0.0696314 -3.20616 --1.01773 -1.87647 -0.190375 3.0225 --1.01773 -1.87647 0.120744 0.183661 -0.143664 -0.868089 -1.04662 0.565985 -0.143664 -0.868089 0.270061 -0.851865 -0.143664 -0.868089 0.776557 0.28588 --0.788495 -0.421291 -0.577442 -0.970047 --0.788495 -0.421291 1.01938 0.396602 --1.90294 -0.749436 2.56392 1.48551 --1.90294 -0.749436 -2.39057 -1.64816 -1.70783 0.997924 2.04313 -2.05538 -1.70783 0.997924 -1.91778 1.83051 -0.676698 0.522103 0.845624 -0.774202 -0.676698 0.522103 -0.967321 0.0132759 -0.676698 0.522103 0.121697 0.760926 --0.933914 -0.894418 -0.615828 -1.5803 --0.933914 -0.894418 0.75112 0.976309 -1.92171 -0.61609 1.37932 2.63204 -1.92171 -0.61609 -1.17784 -2.48993 --0.159316 -1.49758 -1.28471 1.48141 --0.159316 -1.49758 0.873188 -1.58514 --1.24366 -0.671134 -1.149 -1.34925 --1.24366 -0.671134 1.41262 0.964792 --1.24366 -0.671134 -0.263618 0.384455 -0.100406 -0.0184373 0.208125 -0.418548 -0.100406 -0.0184373 0.257709 0.390627 -0.100406 -0.0184373 -0.465834 0.0279212 --1.76794 0.194641 2.48272 -0.361115 --1.76794 0.194641 -2.17117 0.434874 --0.520547 -0.0782723 0.861891 0.0633995 --0.520547 -0.0782723 -0.416477 -0.681971 --0.520547 -0.0782723 -0.445414 0.618571 --0.259196 0.372927 -0.156557 0.793499 --0.259196 0.372927 -0.538634 -0.528895 --0.259196 0.372927 0.695191 -0.264605 --1.80881 -0.00229106 2.57313 0.00431371 --1.80881 -0.00229106 -2.26242 -0.00514806 -1.55186 0.581791 1.21322 -1.94336 -1.55186 0.581791 -0.927494 1.7037 -1.55186 0.581791 -0.285729 0.239661 --0.142765 -1.37827 -1.19209 1.30786 --0.142765 -1.37827 0.721128 -1.43449 --1.04448 0.471609 1.2627 -0.569737 --1.04448 0.471609 -0.870093 1.03774 --1.04448 0.471609 -0.39261 -0.468006 --1.56029 -0.875353 -1.65595 -1.79628 --1.56029 -0.875353 1.81812 1.5347 --1.56029 -0.875353 -0.162175 0.261587 --1.10402 -0.24775 1.42081 0.314288 --1.10402 -0.24775 -0.901491 -0.735154 --1.10402 -0.24775 -0.519319 0.420866 -0.277703 1.85817 -2.30319 -1.41498 -0.277703 1.85817 2.02885 1.33304 --1.02832 1.0728 -0.655952 1.88914 --1.02832 1.0728 0.659096 -1.41236 --1.02832 1.0728 -0.00314389 -0.476775 --1.87695 -1.96435 -1.57507 -4.2597 --1.87695 -1.96435 1.56898 4.12427 -0.675349 -1.00416 -1.49512 0.0934473 -0.675349 -1.00416 1.31307 0.458152 -0.675349 -1.00416 0.182047 -0.5516 --0.381187 1.93357 -1.43098 -2.39645 --0.381187 1.93357 1.19491 2.49376 --0.0996666 -0.770866 -0.808092 0.660468 --0.0996666 -0.770866 0.121734 -0.977523 --0.0996666 -0.770866 0.686358 0.317055 --0.601575 -1.58598 -0.67712 2.04168 --1.92476 0.308702 2.7637 -0.60822 --1.92476 0.308702 -2.51346 0.692989 -0.73551 1.79427 -2.73782 -0.626205 -0.73551 1.79427 2.54939 0.437131 -1.016 -1.9181 -3.25398 0.25788 -1.016 -1.9181 3.13562 -0.0820004 -0.0972825 -1.08711 -1.19298 0.777874 -0.0972825 -1.08711 0.467435 -0.923971 -0.0972825 -1.08711 0.725549 0.146097 --1.76776 0.696021 2.32007 -1.31219 --1.76776 0.696021 -2.1203 1.50033 --1.88169 -0.142635 2.70514 0.276161 --1.88169 -0.142635 -2.42493 -0.320678 --1.88169 -0.142635 -0.280204 0.0445172 --0.024592 -0.00476371 0.292014 0.0186577 --0.024592 -0.00476371 -0.129864 -0.262193 --0.024592 -0.00476371 -0.16215 0.243536 --1.65558 -0.576459 2.16347 1.03263 --1.65558 -0.576459 -1.91456 -1.23526 --1.65558 -0.576459 -0.248907 0.202623 -1.69674 0.415764 0.944583 -2.23852 -1.69674 0.415764 -0.65067 2.09274 -1.69674 0.415764 -0.293913 0.14578 -1.4298 1.1955 2.23179 -1.41041 -1.4298 1.1955 -2.18447 1.12715 --1.72443 -1.76321 -1.42491 -3.68236 --1.72443 -1.76321 1.42144 3.51777 -1.4974 1.10627 2.11822 -1.59579 -1.4974 1.10627 -2.03671 1.31815 -1.71478 0.0206134 0.205676 -2.26747 -1.71478 0.0206134 0.12699 2.26005 -1.71478 0.0206134 -0.332666 0.00742281 -1.48292 0.898332 1.7385 -1.69479 -1.48292 0.898332 -1.58616 1.39271 --0.42274 -1.41455 0.457254 -1.82886 --0.42274 -1.41455 -0.826432 1.59833 --0.42274 -1.41455 0.369178 0.230528 --0.504317 -1.25784 0.191613 -1.72887 --0.504317 -1.25784 -0.588067 1.40628 --0.504317 -1.25784 0.396453 0.322586 --1.9147 1.43183 -2.08865 3.11771 --1.9147 1.43183 2.13845 -2.9501 --0.453478 -0.533276 -0.245416 -0.985528 -1.99473 1.4504 3.16081 -2.35064 -1.99473 1.4504 -3.11036 2.19407 -1.92233 -1.21 2.59692 2.36165 -1.92233 -1.21 -2.51332 -2.18631 --0.745883 -1.97621 0.168344 0.14691 -1.57847 -0.408781 0.915575 2.02601 -1.57847 -0.408781 -0.579596 -1.85361 -1.40013 -1.74596 3.24379 0.856322 -1.40013 -1.74596 -3.28701 -0.662126 -1.02676 -0.109232 0.461231 1.20926 -1.02676 -0.109232 0.214213 -1.15816 -0.791605 -1.9963 -3.14914 0.753468 -0.791605 -1.9963 2.9915 -0.603871 -0.791605 -1.9963 0.157633 -0.149597 --1.0522 1.67304 -0.207246 2.88389 --1.0522 1.67304 0.0942603 -2.65245 --1.77178 0.451745 2.42876 -0.844432 --1.77178 0.451745 -2.16902 0.990912 --0.541705 1.1477 0.0460808 1.63571 --0.541705 1.1477 -0.47717 -1.24543 --0.541705 1.1477 0.431089 -0.390282 --1.92628 -1.11645 -2.29745 -2.44332 --1.92628 -1.11645 2.39774 2.26901 -1.43655 -1.91023 -3.6613 -0.585322 -1.43655 -1.91023 3.6129 0.75315 --1.31448 1.11689 -1.0982 2.12622 --1.31448 1.11689 1.15995 -1.7946 --0.531818 -1.90959 0.92721 -2.6654 --0.531818 -1.90959 -1.14373 2.53542 --0.520858 -1.31886 0.232974 -1.81885 --0.520858 -1.31886 -0.598392 1.51638 --0.520858 -1.31886 0.365419 0.302463 -1.94576 -1.49052 3.21072 2.21377 -1.94576 -1.49052 -3.16767 -2.05294 --1.66951 -0.457217 2.23659 0.81969 --1.66951 -0.457217 -1.95489 -0.994126 --1.43367 -1.04393 -1.34938 -2.05801 --1.43367 -1.04393 1.45143 1.75893 -1.14226 -1.40952 2.35822 0.720647 -1.14226 -1.40952 -2.42047 -0.427865 --1.41783 -1.83079 -0.732845 -3.53828 --1.41783 -1.83079 0.686002 3.35723 --1.41783 -1.83079 0.0468428 0.181059 --1.18056 1.65893 -0.44838 2.98402 --1.18056 1.65893 0.368225 -2.75486 --1.18056 1.65893 0.0801551 -0.229164 --1.97609 -0.208695 2.88346 0.41779 --1.97609 -0.208695 -2.63458 -0.472426 --0.36552 1.85801 -1.36624 -2.25217 --0.36552 1.85801 1.11119 2.35724 --1.36843 0.0825861 1.81736 -0.125674 --1.36843 0.0825861 -1.23154 0.249909 --1.36843 0.0825861 -0.58583 -0.124234 -1.84038 1.53799 3.22835 -1.95004 -1.84038 1.53799 -3.19786 1.77896 -1.84038 1.53799 -0.0304924 0.171081 --1.9941 1.40996 -2.27712 3.12209 --1.9941 1.40996 2.33325 -2.96424 --0.0717066 -0.0189213 -0.178344 -0.380435 --0.0717066 -0.0189213 0.418835 0.0362915 --0.0717066 -0.0189213 -0.240491 0.344143 --0.322105 -0.247965 0.717755 0.190471 --0.322105 -0.247965 -0.472314 0.535664 --1.75631 0.346567 2.43053 -0.641909 --1.75631 0.346567 -2.14311 0.765636 --0.862944 0.394885 1.09944 -0.402112 --0.862944 0.394885 -0.655161 0.947716 --1.94427 -0.50762 2.74821 1.01143 -0.401302 1.94155 -2.586 -1.33608 -0.401302 1.94155 2.35035 1.23466 --1.62511 -1.03494 -1.71635 -2.13142 --1.62511 -1.03494 1.83125 1.8898 --1.85484 -1.36596 -2.00296 -2.93673 --1.85484 -1.36596 2.05934 2.75706 -0.927248 0.248715 0.621606 -1.09665 -1.10435 0.0109091 0.329627 -1.28597 -1.10435 0.0109091 0.302682 1.28034 -1.10435 0.0109091 -0.632309 0.00562793 --1.18084 -1.13708 -0.859047 -2.08282 --1.18084 -1.13708 0.883728 1.7047 -0.781142 -1.449 -2.21577 0.225992 -0.781142 -1.449 2.02364 0.0842489 --1.45085 -1.23487 -1.27552 -2.42007 --1.45085 -1.23487 1.32259 2.14803 -0.336184 1.59311 -2.00212 -1.01596 -0.336184 1.59311 1.6438 0.859619 -0.929878 1.4731 -2.37505 0.000881179 -0.929878 1.4731 2.23929 -0.295866 --1.22115 -1.43595 -0.716493 -2.62188 --1.22115 -1.43595 0.671518 2.34065 --1.22115 -1.43595 0.0449752 0.281227 -1.21051 0.875228 1.54885 -1.25894 -1.21051 0.875228 -1.43333 0.820816 --1.24853 -1.41693 -0.780031 -2.60994 --1.24853 -1.41693 0.745515 2.32848 --1.35349 0.748752 -1.31669 1.50294 --1.35349 0.748752 1.53513 -1.16598 --1.20274 1.60537 -0.538274 2.90806 --1.20274 1.60537 0.467509 -2.66784 --1.20274 1.60537 0.070765 -0.240215 -1.52457 -0.701825 1.41396 1.85651 -1.52457 -0.701825 -1.17543 -1.57994 --1.27435 -0.250212 1.65156 0.359545 --1.27435 -0.250212 -1.15425 -0.655676 -1.76611 -0.963141 2.00656 2.18707 -1.76611 -0.963141 -1.87234 -1.97748 --0.113224 -1.06142 -0.973149 0.919375 --0.113224 -1.06142 0.351004 -1.14957 --0.804373 -0.541544 -0.398375 0.589864 -1.7113 1.63333 3.31769 -1.59657 -1.7113 1.63333 -3.30972 1.41831 -1.74986 -1.94703 4.02412 1.37554 -1.74986 -1.94703 -4.03969 -1.23061 --1.67476 -1.15291 -1.75598 -2.38998 --1.67476 -1.15291 1.84339 2.1653 --1.96823 -0.349958 2.84141 0.700257 --1.96823 -0.349958 -2.60659 -0.788487 --0.551214 1.10635 0.000145248 1.59671 --0.551214 1.10635 -0.450253 -1.18198 --0.551214 1.10635 0.450108 -0.414732 -0.473741 1.68254 -2.2798 -0.919595 -0.473741 1.68254 1.99638 0.743277 -1.96723 -0.59462 1.34774 2.73016 -1.96723 -0.59462 -1.14928 -2.59978 --0.539722 1.55796 0.471431 2.15253 --0.539722 1.55796 -0.758411 -1.93519 --0.539722 1.55796 0.28698 -0.217345 -1.52237 1.40656 2.69852 -1.41516 -1.52237 1.40656 -2.68141 1.18372 -1.52237 1.40656 -0.017112 0.231441 --1.65509 -0.745528 2.07747 1.34807 --1.65509 -0.745528 -1.87986 -1.57255 -1.18968 -0.804334 1.42966 1.26708 -1.18968 -0.804334 -1.28136 -0.790275 -1.64684 0.988955 -1.86554 1.702 -1.64684 0.988955 -0.126846 0.242045 --0.707174 1.62179 0.300764 2.43663 --0.707174 1.62179 -0.520961 -2.2076 -1.47727 1.84359 3.52098 -0.908306 -1.47727 1.84359 -3.55995 0.733864 -1.2372 -1.77281 -3.19342 -0.310293 -1.2372 -1.77281 3.12029 0.510458 --0.0868945 1.49787 0.955087 1.47801 --0.471591 -1.0343 0.0271332 -1.45408 --0.471591 -1.0343 -0.549797 1.06011 --0.471591 -1.0343 0.522663 0.39397 --1.67171 1.85966 -1.22602 3.83942 --1.67171 1.85966 1.20913 -3.68015 --1.00062 0.901859 -0.706039 1.62214 --1.00062 0.901859 0.834188 -1.07863 --1.00062 0.901859 -0.128149 -0.543508 -1.77607 0.351383 0.832681 -2.39522 -1.77607 0.351383 -0.549922 2.28374 --1.53403 -1.03308 -1.54144 -2.08558 --1.53403 -1.03308 1.6535 1.81788 --0.816367 1.79843 0.328197 2.84194 --0.816367 1.79843 -0.498306 -2.65067 --0.291203 0.404789 -0.168465 0.827744 --0.291203 0.404789 -0.542715 -0.551458 --0.343346 1.51296 -1.0345 -1.68104 --0.343346 1.51296 0.675073 1.85317 --0.343346 1.51296 0.359423 -0.172135 --1.03409 0.246037 1.33501 -0.294771 --1.03409 0.246037 -0.817619 0.760632 --1.25318 0.634344 -1.17023 1.29109 --1.25318 0.634344 1.4517 -0.915024 --1.25318 0.634344 -0.281467 -0.376065 -0.901574 1.1045 1.65108 -0.63944 -0.901574 1.1045 -1.74508 0.190459 -0.472011 -1.54062 -2.07284 0.773062 -0.472011 -1.54062 1.74786 -0.543458 -0.472011 -1.54062 0.324987 -0.229603 --1.41447 0.743222 -1.4255 1.50815 --1.41447 0.743222 1.64274 -1.19795 --1.62906 1.17044 -1.65557 2.40008 --1.62906 1.17044 1.73632 -2.16576 --1.22938 -0.970422 -1.02828 -1.83337 --1.22938 -0.970422 1.13892 1.44354 -1.39934 1.18258 2.1859 -1.36557 -1.39934 1.18258 -2.14047 1.07213 --0.41377 -0.618977 -0.177378 -1.03959 --0.41377 -0.618977 -0.548373 0.673499 --0.41377 -0.618977 0.725751 0.366095 -1.57401 -1.07195 2.10471 1.75876 -1.57401 -1.07195 -2.00569 -1.49982 -1.57401 -1.07195 -0.0990229 -0.258941 --1.96413 -1.76054 -0.0158217 0.142924 -0.43328 -1.11114 -1.48515 0.454065 -0.43328 -1.11114 1.12363 0.12129 --1.72294 -1.1328 -1.86376 -2.37473 --1.72294 -1.1328 1.9577 2.16008 -1.52721 -1.82966 3.54498 1.0252 -1.52721 -1.82966 -3.57643 -0.852378 --0.333661 0.655138 -0.0967413 1.03059 --0.333661 0.655138 -0.602466 -0.678106 --0.333661 0.655138 0.699207 -0.35248 -0.87571 -0.543768 0.942895 0.972441 -0.87571 -0.543768 -0.955606 -0.191737 -0.87571 -0.543768 0.012711 -0.780704 -1.81441 0.911384 1.92857 -2.30774 -1.81441 0.911384 -1.78289 2.11164 -1.81441 0.911384 -0.145686 0.196093 --1.74381 1.73362 -1.49167 3.63616 --1.74381 1.73362 1.49286 -3.47056 -0.707293 0.846349 1.1776 -0.625561 -0.707293 0.846349 -1.30582 0.00522739 -0.707293 0.846349 0.128218 0.620333 --1.97142 1.24685 -2.32622 2.74985 --1.97142 1.24685 2.40515 -2.58426 -1.90102 -1.79193 3.83158 1.85915 -1.90102 -1.79193 -3.82309 -1.71297 -1.31578 1.05648 1.90775 -1.31201 -1.31578 1.05648 -1.84077 0.968055 --1.33511 -0.0988476 1.76577 0.147397 --1.33511 -0.0988476 -1.16308 -0.31857 --1.33511 -0.0988476 -0.602696 0.171173 --0.0748196 -1.61736 1.15395 -1.60034 --1.76334 -0.302908 2.45417 0.562042 --1.76334 -0.302908 -2.15973 -0.671707 --1.83196 -0.332791 2.57726 0.634493 --1.83196 -0.332791 -2.30755 -0.739689 --1.83196 -0.332791 -0.269704 0.105196 -1.84683 0.902861 1.92683 -2.37622 -1.84683 0.902861 -1.78059 2.18821 -1.69118 1.212 -2.37605 1.67143 -1.69118 1.212 -0.0731523 0.2196 --1.14335 -0.776889 -0.965589 -1.49154 --1.14335 -0.776889 1.17832 1.04593 --1.14335 -0.776889 -0.212731 0.445602 -1.80823 -0.0254815 0.200898 2.44929 -1.80823 -0.0254815 0.100174 -2.44124 --0.631744 -0.244446 -0.476747 0.596059 --0.445419 0.570091 -0.224341 1.01276 --0.445419 0.570091 -0.525818 -0.652759 --0.445419 0.570091 0.750159 -0.360005 --1.11509 -0.0913969 1.46131 0.116902 --1.11509 -0.0913969 -0.816296 -0.548435 --1.95874 1.10004 -2.37558 2.42375 --1.95874 1.10004 2.47863 -2.25523 --1.95874 1.10004 -0.10305 -0.168521 -1.65999 0.375244 0.865562 -2.17607 -1.65999 0.375244 -0.550963 2.03535 -1.83066 -0.516573 1.15985 2.47545 -1.83066 -0.516573 -0.921862 -2.33297 -1.83066 -0.516573 -0.237991 -0.142482 -1.21886 -1.36979 2.36314 0.89131 -1.21886 -1.36979 -2.39871 -0.599861 --0.245217 0.028698 0.634478 -0.0267998 --0.245217 0.028698 -0.298264 0.549687 --0.245217 0.028698 -0.336215 -0.522887 -1.0915 -0.10166 0.444718 1.28672 -1.0915 -0.10166 0.197313 -1.23435 --1.95979 1.98098 -1.74654 4.37497 --1.95979 1.98098 1.74522 -4.24612 --1.95979 1.98098 0.00131817 -0.128848 --1.41997 0.248403 1.87246 -0.390606 --1.41997 0.248403 -1.42841 0.591668 --1.41997 0.248403 -0.444048 -0.201062 --0.402957 -1.38049 0.441715 -1.76514 --0.402957 -1.38049 -0.830116 1.52996 -1.56197 -0.311756 0.74417 2.00659 -1.56197 -0.311756 -0.378815 -1.86989 -1.56197 -0.311756 -0.365355 -0.136694 --1.07038 1.23777 -0.61308 2.17379 --1.07038 1.23777 0.561352 -1.79131 --1.07038 1.23777 0.0517276 -0.382475 -0.601646 -1.32612 1.60323 -0.0218736 --0.248426 -1.18975 -0.9084 1.15451 --0.248426 -1.18975 0.387086 -1.39171 -0.17645 -1.57695 -1.79872 1.20476 -0.17645 -1.57695 1.398 -1.12748 -0.0656063 1.44015 -1.50857 -1.17391 -0.0656063 1.44015 1.02279 1.16786 -0.382116 0.342445 0.611292 -0.584575 -0.382116 0.342445 -0.797753 -0.14072 --1.4333 1.30185 -1.19977 2.53395 --1.4333 1.30185 1.22785 -2.2676 --1.5106 -1.03148 -1.49794 -2.0716 --1.5106 -1.03148 1.60929 1.79664 --0.185925 1.81996 -1.60509 -1.97701 --0.185925 1.81996 1.31591 2.0399 --1.4111 -1.03448 -1.31292 -2.02992 --1.4111 -1.03448 1.4163 1.72224 --1.23812 -1.00163 -1.02801 -1.88932 --1.23812 -1.00163 1.12488 1.50784 --1.23812 -1.00163 -0.0968676 0.381479 --1.16125 1.58531 -0.482445 2.83435 --1.16125 1.58531 0.403016 -2.58552 -1.54549 -1.09293 2.12541 1.69263 -1.54549 -1.09293 -2.03486 -1.42737 --0.302834 1.59158 -1.17251 -1.76111 --0.302834 1.59158 0.829891 1.89933 --0.733848 -0.706803 -0.447993 -1.25986 --0.733848 -0.706803 0.805164 0.580203 --0.733848 -0.706803 -0.357171 0.679654 --0.952756 1.41998 -0.280695 2.36962 --0.952756 1.41998 0.143857 -2.04862 --1.7423 -0.484512 2.36179 0.896202 --1.7423 -0.484512 -2.10367 -1.05696 -1.81471 -1.62861 3.39935 1.81869 -1.81471 -1.62861 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2.17213 --0.728162 1.4278 -0.306232 -1.86492 --0.728162 1.4278 0.240667 -0.307209 -0.739856 -1.07558 -1.62357 0.0397214 -0.739856 -1.07558 1.45727 0.459386 -1.96568 -1.59387 3.45192 2.17471 -1.96568 -1.59387 -3.41988 -2.0219 -1.96568 -1.59387 -0.0320353 -0.152809 -1.71799 -0.555068 1.20798 2.25131 -1.71799 -0.555068 -0.954487 -2.07363 --1.64906 0.430874 -1.91417 0.938873 -1.55912 -0.550783 1.16087 1.96432 -1.55912 -0.550783 -0.864897 -1.73635 -1.6476 1.50162 2.99176 -1.58145 -1.6476 1.50162 -2.97383 1.38136 -1.12978 -0.071515 0.400837 1.33063 -1.12978 -0.071515 0.219325 -1.29257 -1.12978 -0.071515 -0.620162 -0.0380611 --1.66056 1.5593 -1.45981 3.20363 --1.66056 1.5593 1.47246 -3.011 -0.16545 -1.26793 -1.43177 0.881685 -0.16545 -1.26793 0.766202 -0.845267 -0.16545 -1.26793 0.66557 -0.0364182 -0.224878 0.60362 -0.896156 -0.350181 -0.224878 0.60362 0.734254 -0.423084 -1.12046 -0.0423488 0.258956 -1.29096 -0.642189 1.79588 2.42729 0.604706 --1.09583 1.86387 -0.08557 3.26964 --1.09583 1.86387 -0.019419 -3.08266 --1.08573 -1.03789 -0.764068 -1.8687 --1.08573 -1.03789 0.809686 1.41451 -0.126332 -1.83396 -2.07017 1.5957 -0.126332 -1.83396 1.77472 -1.55868 --0.643688 1.66234 0.443109 2.42534 --0.643688 1.66234 -0.676488 -2.2187 --0.643688 1.66234 0.233378 -0.206638 -1.06431 -0.170246 0.532038 1.2588 -1.06431 -0.170246 0.131021 -1.17215 -1.06431 -0.170246 -0.663058 -0.0866535 -1.911 -0.904615 1.9599 2.50496 -1.911 -0.904615 -1.8173 -2.33105 -1.911 -0.904615 -0.142606 -0.173911 --0.823163 1.81777 0.166885 -0.187181 -0.644282 -1.91961 -2.84614 0.918403 -0.644282 -1.91961 2.65125 -0.76952 --0.545344 -0.896393 -0.147856 -1.36589 --0.545344 -0.896393 -0.451155 0.895711 --0.511159 -1.22373 0.150579 -1.69559 --0.511159 -1.22373 -0.558683 1.355 -0.655476 1.18647 -1.73056 -0.221801 -0.655476 1.18647 1.49499 -0.234371 -0.655476 1.18647 0.235575 0.456172 --1.45936 0.999809 1.53596 -1.69572 --1.07967 1.72172 -0.206288 2.99698 --1.07967 1.72172 0.0992075 -2.77849 --0.37951 -1.98463 0.225921 0.0901344 --0.909214 -1.82471 0.20163 -2.99291 --0.909214 -1.82471 -0.347905 2.80172 --0.909214 -1.82471 0.146275 0.19119 --1.39404 -1.89701 0.565511 3.47347 -0.994814 1.48088 -2.43971 0.107666 -0.994814 1.48088 2.32511 -0.395429 -1.42354 1.34965 2.50812 -1.27653 -1.42354 1.34965 -2.49622 1.01826 -1.42354 1.34965 -0.0119072 0.258275 -0.15042 1.46294 -1.63147 -1.10445 -0.15042 1.46294 1.15536 1.03635 -1.12036 1.09837 1.83006 -0.965299 -1.12036 1.09837 -1.83335 0.570368 -1.99679 1.27267 2.77771 -2.47935 -1.99679 1.27267 -2.70257 2.31728 -0.0186366 1.26841 -1.28069 -1.02851 -0.0186366 1.26841 0.694124 1.1056 -0.0186366 1.26841 0.586561 -0.0770952 -1.96718 1.67291 3.62743 -2.11166 -1.96718 1.67291 -3.60353 1.96366 -1.08561 0.0547959 0.387678 -1.2722 -1.08561 0.0547959 0.255113 1.24444 -1.08561 0.0547959 -0.642791 0.0277593 --1.48917 1.55429 -1.1202 3.05787 --1.48917 1.55429 1.11155 -2.84141 --1.48917 1.55429 0.00865429 -0.216465 --0.360659 -0.866508 0.00521476 -1.21539 --0.360659 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-0.771093 -0.837318 0.0951878 -0.611577 -0.288232 -1.44153 -1.7545 0.916062 -0.288232 -1.44153 1.28813 -0.732316 -0.288232 -1.44153 0.466368 -0.183745 --1.95007 0.63891 -2.52057 1.42166 -0.117803 -0.0693949 0.333583 0.394706 -0.117803 -0.0693949 -0.506827 0.0893021 -0.117803 -0.0693949 0.173244 -0.484008 -0.864494 -1.31068 -2.0558 -0.0114615 -0.864494 -1.31068 1.90901 0.375527 --0.984999 0.33152 1.2526 -0.380143 --0.984999 0.33152 -0.783861 0.869996 --0.984999 0.33152 -0.468737 -0.489853 -1.0877 1.53829 -2.61699 0.229307 -1.0877 1.53829 2.52523 -0.492516 -1.62456 1.62907 3.22987 -1.42156 -1.62456 1.62907 -3.23077 1.23303 --0.0610725 0.260575 -0.0413008 0.648255 --0.0610725 0.260575 -0.530861 -0.373934 --1.08836 -1.16632 -0.690615 -2.07205 --1.08836 -1.16632 0.672055 1.66587 --1.08836 -1.16632 0.0185596 0.406177 --0.845865 -1.13182 0.174619 1.32399 --0.135761 -0.173643 -0.133692 -0.595137 --0.135761 -0.173643 -0.438524 0.411329 --0.135761 -0.173643 0.572216 0.183808 -0.289569 0.435852 -0.814428 -0.230508 -0.289569 0.435852 0.657543 -0.500813 --1.0862 1.254 0.577 -1.84029 -1.80302 -0.868156 1.83805 2.30523 -1.80302 -0.868156 -1.68109 -2.10846 --0.258044 -1.80416 -1.47506 2.03903 --0.258044 -1.80416 1.19025 -2.12458 --0.258044 -1.80416 0.284804 0.0855491 -1.3594 1.30299 2.36928 -1.19877 -1.3594 1.30299 -2.36001 0.918908 -1.49054 1.97439 -3.84959 0.636619 -1.49054 1.97439 3.80496 -0.793513 --0.153571 0.335988 -0.0924882 0.731529 --0.153571 0.335988 -0.550364 -0.462682 --0.153571 0.335988 0.642852 -0.268847 -1.47693 -1.20223 2.27892 1.49106 -1.47693 -1.20223 -2.22598 -1.22075 -1.15354 1.46269 -2.5279 0.410169 -1.15354 1.46269 2.46169 -0.686971 -1.43998 1.63362 3.06344 -1.04846 -1.43998 1.63362 -3.0901 0.840133 --1.95917 -0.0569543 2.86316 0.113246 --1.95917 -0.0569543 -2.60096 -0.129004 -0.595057 0.728974 0.992084 -0.600045 -0.595057 0.728974 -1.14535 -0.0895844 -0.148263 -1.50255 -1.67545 1.15214 -0.148263 -1.50255 1.2272 -1.08651 -0.148263 -1.50255 0.448245 -0.0656281 -1.87925 -1.75318 3.72628 1.84691 -1.87925 -1.75318 -3.71597 -1.69597 --0.850066 1.74355 0.209859 2.78944 --0.850066 1.74355 -0.375584 -2.58163 --0.0410786 -0.877163 -0.915765 0.705946 -1.25632 1.23379 2.162 -1.07609 -1.25632 1.23379 -2.16052 0.757631 --1.09494 1.01218 -0.792268 1.8338 --1.09494 1.01218 0.856003 -1.37814 --0.743466 -1.28548 -0.0886455 -1.98624 --0.743466 -1.28548 -0.16764 1.59865 --0.743466 -1.28548 0.256286 0.387586 -0.512053 -0.789425 -1.17889 0.192602 -0.512053 -0.789425 0.986722 0.494696 --1.96084 1.46252 -2.16884 3.21595 --1.96084 1.46252 2.21676 -3.05593 --1.72881 -0.293834 2.39215 0.537505 --1.72881 -0.293834 -2.08523 -0.65145 -0.219235 1.51485 -1.77094 -1.08027 -0.219235 1.51485 1.33856 0.968485 -1.32577 -0.370748 0.820573 1.61435 -1.32577 -0.370748 -0.338977 -1.38946 -1.32577 -0.370748 -0.481596 -0.224889 -0.645114 1.1086 0.224915 0.503439 --0.214451 0.606639 0.690308 -0.329703 -1.2918 -0.451112 -0.455316 -1.24916 --0.90717 0.546253 -0.692358 1.12197 --0.90717 0.546253 1.06679 -0.575156 --1.85828 -0.0279386 2.66688 0.053599 --1.85828 -0.0279386 -2.37359 -0.0628509 -0.768334 -0.3552 0.710474 0.912797 -0.768334 -0.3552 0.135157 -0.85254 -0.768334 -0.3552 -0.845631 -0.0602578 -1.2139 -1.90031 0.0820745 -0.178182 --1.62244 0.250893 2.20999 -0.437741 --1.62244 0.250893 -1.85508 0.561756 --1.62244 0.250893 -0.354915 -0.124016 -0.871875 1.9932 -3.23535 -0.605756 -0.871875 1.9932 3.09244 0.449836 -1.50861 1.86672 3.60165 -0.947946 -1.50861 1.86672 -3.63801 0.778587 -0.504183 0.156857 0.489204 -0.714112 -0.407385 0.119423 0.443834 -0.645242 -0.407385 0.119423 0.279743 0.693205 -0.407385 0.119423 -0.723578 -0.0479633 --1.90191 0.949084 -2.32014 2.07407 --1.90191 0.949084 2.45264 -1.89816 -1.25719 0.77508 1.41968 -1.38479 -1.25719 0.77508 -1.22807 0.9438 --1.15577 -0.154597 1.50653 0.203982 --1.15577 -0.154597 -0.912858 -0.587244 --1.15577 -0.154597 -0.593673 0.383262 --1.79598 1.81078 -1.53681 3.84735 --1.79598 1.81078 1.5357 -3.69345 -0.957632 0.506037 0.926807 -1.08134 -0.957632 0.506037 -0.880085 0.251867 -0.957632 0.506037 -0.0467218 0.829476 --0.3324 -0.784251 -0.0249037 -1.13017 --0.3324 -0.784251 -0.63743 0.768673 --0.3324 -0.784251 0.662333 0.361497 --0.813179 1.35866 -0.122678 2.15206 --0.813179 1.35866 -0.0828408 -1.79998 --0.813179 1.35866 0.205519 -0.352076 --0.128594 1.07419 -0.966231 -0.942917 --0.128594 1.07419 0.354622 1.17354 -1.11726 -0.739779 1.2983 1.19493 -1.11726 -0.739779 -1.14704 -0.636026 --1.51364 1.24605 -1.38729 2.47988 --1.51364 1.24605 1.4396 -2.22483 -0.540354 1.62436 -2.26408 -0.758843 -0.540354 1.62436 1.98915 0.546238 --1.10452 -1.20102 -0.693441 -2.13841 --1.10452 -1.20102 0.66801 1.75218 --0.533607 -1.47461 0.384071 -2.03205 --0.533607 -1.47461 -0.694915 1.78777 --0.878757 1.0883 0.310168 -1.24581 -1.18761 -1.87804 -3.35245 -0.11204 -1.18761 -1.87804 3.26632 0.294748 --1.42385 0.426272 -1.47034 0.934111 --0.0884801 -0.273748 0.59119 0.266269 --0.722683 0.95457 -0.310057 1.54257 --0.722683 0.95457 -0.206248 -0.898065 --0.722683 0.95457 0.516306 -0.644508 -0.383139 -0.633653 -0.990056 0.246193 -0.383139 -0.633653 0.810044 0.496313 -0.383139 -0.633653 0.180012 -0.742506 --0.967949 -0.751425 -0.720426 -1.39921 --0.967949 -0.751425 0.966327 0.844596 --1.62372 -1.75138 -1.224 -3.56896 --1.62372 -1.75138 1.21093 3.39378 -1.91139 0.00986223 0.155592 -2.65426 -1.91139 0.00986223 0.11526 2.65157 -0.660739 0.965561 -1.43875 -0.0950671 -0.660739 0.965561 1.25956 -0.479683 -0.660739 0.965561 0.179191 0.57475 --1.92078 -0.843812 2.55202 1.68928 --1.92078 -0.843812 -2.39937 -1.85591 --1.17679 -1.60687 -0.490326 -2.88697 --1.17679 -1.60687 0.413072 2.64492 --1.6636 -0.11119 2.30273 0.197224 --1.6636 -0.11119 -1.93752 -0.251615 --1.05356 0.958116 -0.756821 1.7301 --1.05356 0.958116 0.847491 -1.2348 --1.05356 0.958116 -0.0906705 -0.495302 -1.2078 -1.77577 -3.17191 -0.249933 -1.2078 -1.77577 3.09304 0.450956 --0.185365 -1.37637 -1.13514 1.34384 --0.185365 -1.37637 0.67583 -1.49094 --0.185365 -1.37637 0.45931 0.147094 -0.178601 -0.261764 -0.65956 0.208936 --1.5949 0.623712 2.03037 -1.09044 --1.5949 0.623712 -1.78708 1.31994 -1.03002 -0.0667504 0.411187 1.20779 -1.03002 -0.0667504 0.259495 -1.17667 --0.0328478 0.258197 0.558926 -0.289641 --0.398929 -1.95052 -1.42187 2.4467 --0.398929 -1.95052 1.19176 -2.54526 -1.65872 -1.55816 3.11602 1.55507 -1.65872 -1.55816 -3.10449 -1.36266 -1.62074 0.025399 0.230923 -2.09283 -1.62074 0.025399 0.137806 2.08245 --0.733342 -0.0837223 1.04384 0.0777118 --0.733342 -0.0837223 -0.531646 -0.697497 --0.733342 -0.0837223 -0.512197 0.619785 -0.797743 1.6553 2.38661 0.147693 --1.5405 -1.786 -1.0218 -3.56473 --1.5405 -1.786 0.99547 3.38647 --1.82724 1.53187 -1.82994 3.272 --1.82724 1.53187 1.86104 -3.09881 -0.278809 -1.96927 -2.4685 1.55903 -0.278809 -1.96927 2.22364 -1.48951 -0.278809 -1.96927 0.244851 -0.069518 --0.839168 -1.40968 -0.11476 -2.25133 --0.839168 -1.40968 -0.0745763 1.92427 -1.29159 -1.62688 -2.95354 -0.545992 -1.29159 -1.62688 2.90131 0.770383 --0.0384846 -1.65468 -1.62007 1.56289 --0.0384846 -1.65468 1.25847 -1.58992 --0.0384846 -1.65468 0.361601 0.0270364 -0.678843 1.84727 -2.76486 -0.778482 -0.678843 1.84727 2.56822 0.60901 -1.73838 -0.718022 -1.31804 -2.04004 --0.00494229 1.40687 0.897158 1.25472 --0.765296 -1.37978 -0.0339005 -2.1388 --0.765296 -1.37978 -0.195274 1.8027 --0.765296 -1.37978 0.229175 0.336093 --1.60784 1.83391 -1.11596 3.72582 --1.60784 1.83391 1.09403 -3.55882 --1.32796 -1.17556 -1.08792 -2.23733 --1.32796 -1.17556 1.13224 1.92067 -1.01325 -1.21429 1.91535 0.699447 -1.01325 -1.21429 -1.98636 -0.320564 -0.196402 1.36279 -1.56642 -0.943622 -0.196402 1.36279 0.998126 0.835024 -0.196402 1.36279 0.568292 0.108598 -1.33491 -0.532789 1.07304 1.59703 -1.33491 -0.532789 -0.674041 -1.25851 --0.769143 -1.48327 0.060754 -2.29401 --0.769143 -1.48327 -0.275944 2.00593 --0.769143 -1.48327 0.21519 0.288084 --0.79734 0.927857 0.564456 -0.771424 --0.79734 0.927857 -0.146195 -0.782007 -0.694251 1.84383 0.193368 0.172164 --1.99847 1.01478 -2.50129 2.25632 --1.99847 1.01478 2.61842 -2.09622 -0.703845 1.92134 -2.91779 -0.819924 -0.703845 1.92134 2.73553 0.664033 -0.703845 1.92134 0.182263 0.155891 --0.212928 -0.233994 -0.172006 -0.675144 --0.212928 -0.233994 0.645961 0.19901 --0.212928 -0.233994 -0.473955 0.476134 -1.85682 -0.736797 1.60035 2.46432 -1.85682 -0.736797 -1.41598 -2.29202 --1.25645 0.254121 1.6249 -0.360799 --1.25645 0.254121 -1.12599 0.671106 --0.538601 0.962385 -0.0964814 1.42998 --0.538601 0.962385 -0.455186 -0.973973 -1.8744 -1.1108 2.36212 2.32273 -1.8744 -1.1108 -2.26107 -2.13705 -1.24903 -1.12841 1.97901 1.14828 -1.24903 -1.12841 -1.95149 -0.800592 -1.42779 0.770917 1.49268 -1.66233 -1.42779 0.770917 -1.28125 1.33087 -1.42779 0.770917 -0.211422 0.331452 -1.31025 -0.873311 -1.45902 -1.03128 -1.69811 0.300024 0.730358 -2.25215 -1.69811 0.300024 -0.414834 2.14414 --1.59445 1.24799 -1.54267 2.53285 --1.59445 1.24799 1.60291 -2.29663 --1.59445 1.24799 -0.060243 -0.236215 --0.0430334 1.44994 0.928034 1.3585 -1.09434 -0.535622 1.00764 1.24637 -1.09434 -0.535622 -0.780635 -0.418831 -1.09434 -0.535622 -0.227005 -0.827537 --1.26847 -1.52748 -0.725731 -2.82487 --1.26847 -1.52748 0.679042 2.57338 --0.860666 1.61494 0.0536706 2.5914 --0.860666 1.61494 -0.224309 -2.34501 --0.860666 1.61494 0.170638 -0.246384 -0.397981 -1.37956 1.35108 -0.41419 --1.47235 0.105707 1.97859 -0.170723 --1.47235 0.105707 -1.4985 0.261711 --1.47235 0.105707 -0.480083 -0.0909883 -1.57757 -1.27818 2.49613 1.62323 -1.57757 -1.27818 -2.44751 -1.38571 -0.969263 0.204631 0.573908 -1.14628 -0.969263 0.204631 0.143895 1.05896 -0.969263 0.204631 -0.717803 0.0873253 -0.231593 -0.629399 -0.917832 0.35827 -0.231593 -0.629399 0.74805 0.4178 -0.542298 -1.50617 -2.09229 0.639012 -0.542298 -1.50617 1.79262 -0.37474 -0.182931 1.65664 -1.90768 -1.29239 -0.182931 1.65664 1.54786 1.22028 -0.902875 -0.364172 0.747586 1.05365 -0.902875 -0.364172 0.0608905 -0.917037 -0.902875 -0.364172 -0.808476 -0.136614 --1.32475 1.54298 -0.816068 2.90085 --1.32475 1.54298 0.779661 -2.66013 --1.32475 1.54298 0.0364062 -0.240715 --0.937179 1.50322 0.0338039 -2.20036 -1.65919 -0.0431242 0.25698 2.16664 -1.65919 -0.0431242 0.0961098 -2.14989 --0.813251 1.3838 -0.0999869 2.18901 --0.813251 1.3838 -0.103799 -1.85036 -1.45021 -1.61456 3.03617 1.08704 -1.45021 -1.61456 -3.05915 -0.876824 --0.0264423 0.646887 -0.785674 -0.538076 --0.0264423 0.646887 0.0926272 0.876592 -1.43096 -0.541769 1.11271 1.7488 --0.26818 1.6726 -1.31023 -1.84779 --0.26818 1.6726 0.987318 1.95764 --0.52374 1.19536 0.109421 1.67448 --0.52374 1.19536 -0.52486 -1.31529 -1.50275 0.485822 1.0358 -1.88192 -1.50275 0.485822 -0.694963 1.65465 -1.50275 0.485822 -0.340838 0.227272 --1.96689 -0.832686 2.65426 1.69053 --1.96689 -0.832686 -2.50265 -1.84744 -1.39661 -1.58148 2.92016 1.0154 -1.39661 -1.58148 -2.9482 -0.793648 --1.94472 -0.687654 2.67855 1.37844 --1.94472 -0.687654 -2.49722 -1.52628 --1.34666 -1.20725 -1.10194 -2.30516 --1.34666 -1.20725 1.13998 2.00004 --1.69449 -0.79757 2.1233 1.47018 --1.69449 -0.79757 -1.94393 -1.68741 --1.30321 -1.92568 0.0691657 0.172007 --1.70596 -0.186342 2.37007 0.336958 --1.70596 -0.186342 -2.03433 -0.417242 --1.70596 -0.186342 -0.335733 0.080284 -1.75902 -0.27362 0.683367 2.36767 -1.75902 -0.27362 -0.383942 -2.27711 -1.75902 -0.27362 -0.299425 -0.0905636 --0.965982 0.606567 -0.755549 1.20695 --0.965982 0.606567 1.08856 -0.67872 --0.965982 0.606567 -0.333015 -0.528229 -1.58355 -1.73843 3.41463 1.23333 -1.58355 -1.73843 -3.43162 -1.0537 -1.58355 -1.73843 0.0169864 -0.179633 -0.358257 1.5093 -1.91382 -0.896593 --1.5466 -1.2811 -1.42888 -2.56789 --1.5466 -1.2811 1.47691 2.32444 -0.83464 -1.80046 -2.85219 0.463235 -0.83464 -1.80046 2.6896 -0.267982 -1.25245 0.882583 1.58475 -1.31986 -1.25245 0.882583 -1.45992 0.905876 -1.25245 0.882583 -0.124837 0.413984 -0.139191 -0.414527 -0.730476 0.313155 -0.139191 -0.414527 0.624846 0.413499 -0.139191 -0.414527 0.10563 -0.726654 --0.041531 -1.00669 -1.00344 0.816591 --0.041531 -1.00669 0.334377 -1.04802 -1.12842 -0.298311 0.697425 1.3387 -1.12842 -0.298311 -0.0563869 -1.16104 -1.12842 -0.298311 -0.641038 -0.177662 -1.7586 0.819494 -1.55116 2.03465 -0.580383 -1.14495 -1.62607 0.295977 -0.580383 -1.14495 1.35337 0.201811 -0.580383 -1.14495 0.272706 -0.497788 -1.78629 -1.3488 2.79142 1.98478 -1.78629 -1.3488 -2.73742 -1.79249 --1.91945 -1.23665 -2.21919 -2.69845 --1.91945 -1.23665 2.29872 2.52433 -0.927039 -1.69358 -2.75617 0.195699 -0.927039 -1.69358 2.61421 0.0307507 -0.0785168 0.151423 -0.521123 -0.19684 -0.0785168 0.151423 0.4322 -0.347854 -0.0785168 0.151423 0.0889233 0.544694 --1.43356 -0.843658 -1.43106 -1.69428 --1.43356 -0.843658 1.60685 1.38789 --1.43356 -0.843658 -0.175791 0.306395 --0.297121 -1.63095 -1.22172 1.81517 --0.297121 -1.63095 0.890986 -1.94276 --0.949666 -1.57599 -0.0120465 2.35652 --1.64961 0.462799 2.19843 -0.822707 --1.64961 0.462799 -1.91372 1.00435 --1.64961 0.462799 -0.284712 -0.181638 -1.008 1.29271 -2.11955 0.264494 -1.008 1.29271 2.03217 -0.615221 -1.70533 -1.78427 3.62939 1.4427 -1.70533 -1.78427 -3.63697 -1.27896 --1.86682 -1.44017 -1.97961 -3.10345 --1.86682 -1.44017 2.02568 2.92962 -0.0202855 -1.48012 -1.49811 1.27111 -0.0202855 -1.48012 1.04384 -1.2875 -0.0202855 -1.48012 0.454265 0.0163851 -0.333234 1.49154 1.4529 0.718397 --1.27985 1.98007 -0.307218 3.6896 --1.27985 1.98007 0.23294 -3.52538 -1.21042 -1.04671 1.81729 1.14635 -1.21042 -1.04671 -1.77453 -0.763173 -1.21042 -1.04671 -0.0427516 -0.383174 --0.908132 0.995961 -0.526582 1.70688 --0.908132 0.995961 0.540558 -1.08421 --0.908132 0.995961 -0.0139766 -0.622672 -0.478444 1.62247 -2.1968 -0.848147 -0.478444 1.62247 1.89848 0.650318 --0.824995 -1.46973 -0.155964 2.02985 --0.823202 0.709076 -0.550383 1.29575 --0.823202 0.709076 0.86541 -0.660825 --0.823202 0.709076 -0.315027 -0.634922 -0.810935 0.753515 1.14763 -0.798367 -0.810935 0.753515 -1.20664 0.149823 --1.97807 1.56888 -2.1318 3.46335 --1.97807 1.56888 2.16775 -3.31065 --1.97083 0.137699 2.88113 -0.274994 --1.97083 0.137699 -2.62563 0.311955 --1.97083 0.137699 -0.255505 -0.0369605 -1.92803 -0.54392 1.23531 2.66273 -1.92803 -0.54392 -1.02137 -2.53373 --1.73212 1.9039 -1.31374 3.99054 --1.73212 1.9039 1.29959 -3.84008 -0.524942 0.706352 -1.10317 -0.150968 -0.524942 0.706352 0.932331 -0.556602 -0.524942 0.706352 0.170839 0.70757 -1.8941 -1.10044 2.35228 2.36922 -1.8941 -1.10044 -2.24909 -2.18731 -0.661206 0.274514 0.613148 -0.826968 -0.331531 1.20323 -1.51229 -0.641628 -0.331531 1.20323 0.987763 0.0827688 -0.331531 1.20323 0.524528 0.558859 --0.73286 -1.03417 -0.271001 -1.64734 --0.73286 -1.03417 -0.123429 1.03489 --0.73286 -1.03417 0.39443 0.612443 -1.49205 -1.96348 -3.82786 -0.650583 -1.49205 -1.96348 3.78394 0.80874 -0.747795 -0.686076 1.03927 0.769112 -0.747795 -0.686076 -1.12421 -0.0777681 -0.747795 -0.686076 0.0849374 -0.691343 -1.41318 0.933726 1.76138 -1.5545 -1.41318 0.933726 -1.62986 1.22641 --1.55807 0.496346 2.02266 -0.847096 --1.55807 0.496346 -1.72843 1.06669 -0.183649 1.83469 -2.14756 -1.51789 -0.183649 1.83469 1.85609 1.46229 -0.388337 1.05308 -1.38871 -0.464254 -0.388337 1.05308 1.03278 -0.175115 -0.388337 1.05308 0.355924 0.639369 -0.0389221 1.54181 -1.59003 -1.32637 -0.0389221 1.54181 1.1685 1.32551 -1.76146 0.701189 1.49754 -2.29075 -1.76146 0.701189 -1.29228 2.09874 -1.76146 0.701189 -0.205255 0.192008 -1.65024 0.737103 1.52481 -2.06868 -1.65024 0.737103 -1.31639 1.83769 -1.46992 0.636683 -1.0019 1.49363 -1.58324 1.77122 3.48182 -1.20017 -1.58324 1.77122 -3.50173 1.0245 --0.66756 -1.54273 0.272474 -2.27529 --0.66756 -1.54273 -0.518791 2.02546 --1.99362 -1.11828 -2.44265 -2.48051 --1.99362 -1.11828 2.54236 2.31777 -1.73329 1.69993 3.47744 -1.58187 -1.73329 1.69993 -3.4744 1.41245 -1.73329 1.69993 -0.00303731 0.169412 --1.74331 1.70934 1.51475 -3.41616 --0.782005 -0.119897 -0.565879 -0.71493 --0.782005 -0.119897 -0.520869 0.599194 -0.168279 0.0446032 0.320382 -0.460787 -0.168279 0.0446032 0.233482 0.506944 -0.168279 0.0446032 -0.553865 -0.0461572 --0.563493 1.72267 -0.880371 -2.24339 -0.53802 1.32561 -1.83533 -0.485182 -0.53802 1.32561 1.50806 0.109267 -0.53802 1.32561 0.327268 0.375916 -0.658709 1.41953 1.8194 0.0678857 --0.495252 -1.3378 0.283978 -1.81546 --0.495252 -1.3378 -0.653254 1.53027 -1.41035 -1.07896 2.01096 1.45883 -1.41035 -1.07896 -1.93337 -1.15076 --1.97743 1.87444 -1.88342 4.14878 --1.97743 1.87444 1.89072 -4.01421 --1.4148 1.97149 -0.584393 3.81664 --1.4148 1.97149 0.529808 -3.65549 -1.59086 -0.842031 1.69166 1.91552 -1.59086 -0.842031 -1.51645 -1.65525 -0.873638 1.72815 2.60973 0.106651 -0.397124 -1.6746 -2.18329 1.0221 -0.397124 -1.6746 1.87463 -0.86641 -0.510042 -0.0785734 0.429392 0.730039 -0.510042 -0.0785734 0.319284 -0.748342 -0.510042 -0.0785734 -0.748675 0.0183031 --1.03139 1.24268 -0.547668 2.15347 --1.03139 1.24268 0.476561 -1.76161 -0.0496094 -0.26297 -0.585468 0.292103 -0.776181 1.29511 -1.97063 -0.117482 -0.776181 1.29511 1.78519 -0.263636 -0.776181 1.29511 0.18544 0.381118 --1.14463 1.64114 -0.400882 2.91797 --1.14463 1.64114 0.313142 -2.6822 --0.255673 -1.95647 -1.6657 2.27764 --0.255673 -1.95647 1.41947 -2.34446 -0.646794 -0.315617 0.647279 0.806163 -1.47162 1.10374 2.09633 -1.55087 -1.47162 1.10374 -2.01735 1.26535 -1.47162 1.10374 -0.0789766 0.285514 -1.70645 1.77474 3.61026 -1.45431 -1.70645 1.77474 -3.6169 1.28972 --1.08098 0.144942 1.412 -0.180509 --1.08098 0.144942 -0.820174 0.627755 --1.08098 0.144942 -0.591829 -0.447246 -1.43872 0.31545 0.743186 -1.79818 -1.43872 0.31545 -0.319152 1.63423 -1.43872 0.31545 -0.424034 0.163951 -0.362841 1.72857 -2.22111 -1.13312 -0.362841 1.72857 1.92153 1.00245 --0.000421872 -1.04578 -1.07025 0.821632 --0.000421872 -1.04578 0.391916 -1.02291 --0.000421872 -1.04578 0.678331 0.201274 --1.31614 0.976103 -1.17229 1.88248 --1.31614 0.976103 1.28964 -1.53278 -0.32645 1.94259 -2.49125 -1.45201 -0.32645 1.94259 2.24541 1.36796 --0.201696 0.243142 -0.160021 0.677844 --0.201696 0.243142 0.641325 -0.20762 --0.201696 0.243142 -0.481304 -0.470225 --1.65773 1.18471 -1.7046 2.44428 --1.65773 1.18471 1.78385 -2.21747 -0.706973 1.04752 -1.56824 -0.0716619 -0.706973 1.04752 1.39154 -0.44968 -0.706973 1.04752 0.176702 0.521342 -0.527141 1.5234 -2.10263 -0.677404 -0.527141 1.5234 1.79923 0.424908 -0.716824 1.86899 -2.84351 -0.738856 -0.716824 1.86899 2.65829 0.570038 --1.60755 0.946784 -0.139525 -0.247731 --1.96734 -0.823109 -0.153386 0.156131 -1.20158 0.243855 0.626453 -1.44069 -1.20158 0.243855 -0.0422617 1.29616 -1.20158 0.243855 -0.584191 0.144532 --0.901081 -1.29241 -0.309359 -2.12931 --0.901081 -1.29241 0.155634 1.73915 -1.32314 -0.63166 1.22419 1.54794 -1.32314 -0.63166 -0.90479 -1.15503 -1.49226 -1.89524 -3.68311 -0.717034 -1.49226 -1.89524 3.64289 0.883749 -1.49226 -1.89524 0.0402188 -0.166716 -1.44331 -0.476034 1.00727 1.78436 -1.44331 -0.476034 -0.636249 -1.53715 --1.39255 0.710523 -1.39393 1.44496 --1.39255 0.710523 1.62664 -1.12778 -1.71219 0.252438 0.642282 -2.27993 -1.71219 0.252438 -0.324719 2.19019 -1.71219 0.252438 -0.317563 0.0897379 --0.841499 0.959682 0.523256 -0.884459 --0.841499 0.959682 -0.0659892 -0.735087 -1.6451 -1.05137 2.10948 1.90483 -1.6451 -1.05137 -2.00031 -1.6645 --0.104879 -1.78202 -1.67945 1.82167 --0.104879 -1.78202 1.3707 -1.86294 --1.74302 -1.66751 -1.54533 -3.49514 --1.74302 -1.66751 1.55324 3.32325 --1.50755 -1.85874 -0.885964 -3.68163 --1.50755 -1.85874 0.84987 3.51041 -0.0508509 1.80569 -1.92971 -1.65796 -0.0508509 1.80569 1.62273 1.64553 -1.53948 -0.393979 0.884647 1.96005 -1.53948 -0.393979 -0.528939 -1.78302 --1.26402 -1.14732 -0.99318 -2.14992 --1.26402 -1.14732 1.03434 1.80603 --1.40991 -0.922056 -1.36011 -1.82692 --1.40991 -0.922056 1.50509 1.51199 --1.38525 -0.878966 -1.33244 -1.74079 --1.38525 -0.878966 1.49406 1.41499 --1.38525 -0.878966 -0.161615 0.325799 --0.112212 -0.0455168 -0.191641 -0.456586 --0.112212 -0.0455168 0.491277 0.0643987 --0.112212 -0.0455168 -0.299635 0.392188 -1.49849 -1.12064 2.1451 1.58811 -1.49849 -1.12064 -2.06758 -1.31254 -1.49849 -1.12064 -0.0775283 -0.275573 -1.80585 0.119021 0.384613 -2.45467 -1.80585 0.119021 -0.0858077 2.4171 --1.25835 -0.630543 -1.17917 -1.2856 --1.25835 -0.630543 1.46202 0.91256 --0.760675 -1.00388 -0.0898563 0.942606 --0.760675 -1.00388 0.415945 0.684956 -0.854025 -0.262394 0.629447 1.01605 -1.43797 1.1664 -2.12914 1.16066 --0.296808 -1.96094 -1.60461 2.337 --0.296808 -1.96094 1.36379 -2.41267 -1.17196 -0.485066 0.960067 1.36735 -1.17196 -0.485066 -0.339988 -0.985522 -1.17196 -0.485066 -0.620079 -0.381825 --0.213113 -0.940813 -0.803154 0.860523 --0.213113 -0.940813 0.174757 -1.16244 --0.213113 -0.940813 0.628397 0.301915 --1.95863 -1.82847 -1.88104 -4.02847 --1.95863 -1.82847 1.89073 3.88945 --1.63789 -1.22253 -1.64358 -2.50831 --1.63789 -1.22253 1.71304 2.27961 --1.63789 -1.22253 -0.0694663 0.228694 -1.90502 -1.87211 4.01335 1.79233 -1.90502 -1.87211 -4.01102 -1.65227 --0.287666 -1.80413 -1.42851 2.07378 --0.287666 -1.80413 1.14796 -2.16751 -1.89167 1.36524 2.90248 -2.19201 -1.89167 1.36524 -2.84498 2.01733 -1.89167 1.36524 -0.0574978 0.174686 --1.86832 0.583973 2.56795 -1.13652 --1.86832 0.583973 -2.35558 1.28604 --0.391499 -1.42717 0.510006 -1.80751 --0.391499 -1.42717 -0.885206 1.59235 -0.520991 -1.60968 -2.22236 0.772501 -0.520991 -1.60968 1.93672 -0.558784 --0.0958104 1.61746 -1.49906 -1.57792 --0.0958104 1.61746 1.12803 1.63298 --0.0958104 1.61746 0.371033 -0.0550684 -0.316819 1.23772 0.952697 0.168166 -0.316819 1.23772 0.586299 0.519643 --0.500348 -1.60436 0.581707 -2.16999 --0.500348 -1.60436 -0.869135 1.97658 --0.760996 -0.942974 -0.36402 -1.55145 --0.760996 -0.942974 0.530107 0.707697 --0.760996 -0.942974 -0.166087 0.843758 --1.75693 -1.9081 -1.36346 -4.02295 --1.75693 -1.9081 1.3513 3.87464 --1.96362 1.64867 -2.03953 3.62995 --1.96362 1.64867 2.06607 -3.48013 --1.96362 1.64867 -0.0265349 -0.149821 -1.51129 -1.36758 2.6147 1.42635 -1.51129 -1.36758 -2.59226 -1.1874 --1.62876 -0.117439 2.24079 0.20507 --1.62876 -0.117439 -1.85956 -0.267419 --1.62876 -0.117439 -0.381227 0.0623486 --1.13784 0.625784 -0.99159 1.26161 --1.13784 0.625784 1.28986 -0.825368 --1.10888 1.15835 -0.728558 2.07261 --1.10888 1.15835 0.721237 -1.6718 --1.10888 1.15835 0.00732125 -0.400818 -1.53742 -1.96962 -3.88553 -0.741668 -1.53742 -1.96962 3.84672 0.896804 -1.84339 -1.07604 2.27338 2.27964 -1.84339 -1.07604 -2.16551 -2.08741 --1.79024 -0.402955 2.47897 0.757521 --1.79024 -0.402955 -2.21254 -0.88855 --1.79024 -0.402955 -0.266434 0.131028 --0.441478 -0.152365 0.79881 0.119644 --0.441478 -0.152365 -0.354514 -0.703681 --0.441478 -0.152365 -0.444296 0.584037 -1.47758 0.666043 -1.0715 1.49459 -1.6125 0.768748 1.56783 -1.987 -1.6125 0.768748 -1.36681 1.73922 --1.18522 0.00241012 1.55752 -0.0032479 --1.18522 0.00241012 -0.782029 0.394698 -0.263401 -1.35398 -1.62389 0.857612 -0.263401 -1.35398 1.05244 -0.66033 -0.263401 -1.35398 0.571442 -0.197281 --0.290943 -1.2983 -0.929923 1.32597 --0.290943 -1.2983 0.470153 -1.54421 --0.927499 -1.27933 0.223357 1.73594 --1.63242 -0.698329 2.06075 1.24696 --1.63242 -0.698329 -1.84641 -1.47372 --1.63242 -0.698329 -0.214339 0.226758 -0.567608 1.32742 -1.86185 -0.446106 -0.567608 1.32742 1.55551 0.0710468 -1.57964 1.08927 2.14052 -1.75832 -1.57964 1.08927 -2.04593 1.50235 -1.57964 1.08927 -0.0945886 0.255975 --1.01512 -0.997839 -0.67896 -1.76936 --1.01512 -0.997839 0.730452 1.25454 --1.01512 -0.997839 -0.0514912 0.514819 -1.4566 0.716971 1.41374 -1.73376 -1.4566 0.716971 -1.17442 1.42125 -1.42482 -1.22286 2.27738 1.38076 -1.42482 -1.22286 -2.23774 -1.10085 -1.45291 1.24207 2.33384 -1.41712 -1.45291 1.24207 -2.29417 1.14708 -1.07025 -1.95 -3.37155 0.188773 -1.6207 1.71041 3.39312 -1.33704 -1.6207 1.71041 -3.40304 1.15758 -1.6207 1.71041 0.00992179 0.179468 --1.61663 0.282569 2.19301 -0.492045 --1.61663 0.282569 -1.84467 0.629847 -1.26097 0.90297 -1.50505 0.917329 -1.49513 -1.52112 2.89621 1.26231 -1.49513 -1.52112 -2.90069 -1.04336 -1.49513 -1.52112 0.00448351 -0.218957 --1.73012 -0.398462 2.36731 0.731307 --1.73012 -0.398462 -2.08485 -0.875013 -0.488341 -0.677136 0.890357 0.54544 -0.906236 0.976224 1.48341 -0.756492 -0.906236 0.976224 -1.54323 0.24823 --0.938654 1.60621 -0.0820396 2.65698 --0.938654 1.60621 -0.0636074 -2.4052 --0.938654 1.60621 0.145647 -0.251782 -0.91029 -1.76876 -2.87312 0.298143 -0.91029 -1.76876 2.72812 -0.0916839 --1.88156 -0.560838 2.60331 1.09567 --1.88156 -0.560838 -2.38822 -1.23881 --1.60453 -1.2038 -1.5885 -2.45201 --1.60453 -1.2038 1.65966 2.21432 --1.8653 1.10376 -2.17362 2.3862 --1.8653 1.10376 2.27616 -2.20054 -0.111903 1.98591 -2.26231 -1.8266 -0.111903 1.98591 2.01019 1.80004 -0.111903 1.98591 0.252121 0.026562 --1.48593 0.664097 1.81513 -1.10448 --1.48593 0.664097 -1.57234 1.37876 --0.156755 1.96095 -1.82806 -2.15709 --0.156755 1.96095 1.57444 2.19979 --0.195613 1.99676 -1.81391 -2.26441 --0.195613 1.99676 1.57167 2.31379 --0.567337 -1.83062 0.767407 -2.58851 --0.567337 -1.83062 -0.990725 2.43706 --0.567337 -1.83062 0.223318 0.151452 -1.061 1.01614 1.65962 -0.940023 -1.061 1.01614 -1.66034 0.495499 -1.061 1.01614 0.000721493 0.444525 --1.0231 1.20273 -0.563311 2.08507 --1.0231 1.20273 0.50076 -1.67056 --1.0231 1.20273 0.0625506 -0.414511 --1.52255 0.273406 2.03383 -0.454707 --1.52255 0.273406 -1.64548 0.620129 -0.659922 -1.65598 -2.43411 0.606887 -0.659922 -1.65598 2.20744 -0.385103 -1.32248 -1.90117 -3.53161 -0.358628 -1.32248 -1.90117 3.46714 0.533078 -0.6162 1.83269 -2.67086 -0.865143 -0.6162 1.83269 2.45716 0.700885 -1.58693 1.92233 3.8007 -1.05202 -1.58693 1.92233 -3.83116 0.894265 --0.799885 -1.70823 0.252252 -2.67564 --0.799885 -1.70823 -0.434512 2.46213 -1.89861 1.96333 4.21131 -1.68844 -1.89861 1.96333 -4.21587 1.55455 -1.68657 -1.8298 3.70755 1.35807 -1.68657 -1.8298 -3.7208 -1.19737 --1.51271 0.830314 -0.178831 -0.276524 -1.31621 -1.39191 2.49173 1.04361 -1.31621 -1.39191 -2.50834 -0.773983 -1.29305 1.78987 -3.27898 0.405318 -1.29305 1.78987 3.21503 -0.599404 -1.29305 1.78987 0.063954 0.194087 -1.53866 -1.7322 3.35749 1.14782 -1.53866 -1.7322 -3.37959 -0.96333 --1.0258 -0.61304 -0.833753 -1.22606 --1.0258 -0.61304 1.15341 0.72946 --1.69802 -1.52251 -1.56506 -3.15642 --1.69802 -1.52251 1.58653 2.96513 --0.584337 -0.610526 -0.33137 -1.10327 -1.20676 -0.748068 1.35412 1.32118 -1.20676 -0.748068 -1.15887 -0.832889 -1.98477 -1.26692 2.75755 2.45733 -1.98477 -1.26692 -2.68179 -2.29332 -1.98477 -1.26692 -0.075755 -0.164014 -1.71462 -0.991801 2.03502 2.07181 -1.71462 -0.991801 -1.90799 -1.84871 -0.472279 0.687552 -1.06854 -0.192379 -0.472279 0.687552 0.889212 -0.528404 -0.472279 0.687552 0.179323 0.720783 -0.480869 1.21109 -1.64059 -0.46964 -0.480869 1.21109 1.27759 -0.00517908 -0.480869 1.21109 0.362999 0.474819 -0.765309 -0.275003 -0.808093 -0.0442112 --1.78465 -0.0433368 2.52717 0.0808345 --1.78465 -0.0433368 -2.20817 -0.0973606 --1.78465 -0.0433368 -0.318999 0.0165261 --0.28474 1.94472 -1.60385 -2.29539 --0.28474 1.94472 1.35801 2.37015 -1.66866 0.340134 0.802275 -2.19526 -1.66866 0.340134 -0.483595 2.06835 -0.956822 0.0890643 0.445266 -1.12818 -0.956822 0.0890643 0.259276 1.09282 -0.956822 0.0890643 -0.704542 0.0353599 -0.102738 -1.21901 0.656715 -0.945939 -0.0971242 1.07355 -1.18093 -0.766011 -0.0971242 1.07355 0.451274 0.921845 --1.54814 -0.899557 -1.62411 -1.83801 --1.54814 -0.899557 1.77857 1.57208 --1.42288 -0.316229 1.85987 0.499014 --1.42288 -0.316229 -1.45213 -0.725309 --1.08721 -1.68037 -0.261154 -2.93159 --1.08721 -1.68037 0.157055 2.70303 -0.72435 -1.90247 -2.90888 0.763511 -0.72435 -1.90247 2.72893 -0.601357 --1.98346 -0.274523 2.88772 0.551388 --1.98346 -0.274523 -2.64708 -0.620992 -0.730662 1.71435 -2.59978 -0.55134 -0.730662 1.71435 2.40223 0.340388 --1.10323 -0.317602 1.39977 0.402822 --1.10323 -0.317602 -0.925589 -0.825789 --0.404974 0.00924465 0.769764 -0.00744798 --0.404974 0.00924465 -0.381587 0.618589 --0.404974 0.00924465 -0.388177 -0.611141 --1.65195 1.34278 -1.59736 2.75747 --1.65195 1.34278 1.64354 -2.54164 --1.65195 1.34278 -0.0461801 -0.215827 --1.41312 0.881642 -1.38115 1.75563 --1.41312 0.881642 1.54202 -1.44111 --1.68935 0.40837 2.28912 -0.73709 --1.68935 0.40837 -1.99863 0.89386 --1.68935 0.40837 -0.290488 -0.15677 --0.172791 0.974155 -0.859581 -0.870778 --0.172791 0.974155 0.230258 1.15096 -0.419977 1.62409 1.81808 0.754706 -1.08695 1.8933 -3.28062 -0.0979808 -1.08695 1.8933 3.17571 -0.0832218 --1.66158 -0.717333 2.10523 1.2983 --1.66158 -0.717333 -1.89979 -1.51814 -1.48782 1.35077 2.56358 -1.39567 -1.48782 1.35077 -2.54145 1.14986 -1.48782 1.35077 -0.0221312 0.245812 -0.669246 1.04045 -1.54004 -0.118992 -0.669246 1.04045 1.34543 -0.415457 -1.30056 1.02117 1.83855 -1.3107 -1.30056 1.02117 -1.76236 0.953226 --1.57989 -1.15497 -1.56771 -2.34284 --1.57989 -1.15497 1.64884 2.09544 --1.57989 -1.15497 -0.0811281 0.247405 --1.36726 -1.64615 -0.806815 -3.13183 --1.36726 -1.64615 0.76669 2.91608 --1.6445 1.74249 -1.27497 3.56885 --1.6445 1.74249 1.26509 -3.39461 --0.673351 -0.000526912 0.992006 0.00046767 --0.673351 -0.000526912 -0.496019 -0.658078 --0.673351 -0.000526912 -0.495987 0.65761 -1.15881 -0.804028 1.4126 1.22145 -1.15881 -0.804028 -1.27797 -0.725434 -1.15881 -0.804028 -0.134624 -0.496014 -1.2936 -1.66538 -3.03149 -0.517416 -1.2936 -1.66538 2.97626 0.734176 -1.86094 -0.642525 1.41492 2.50314 -1.86094 -0.642525 -1.20962 -2.34434 --0.693679 1.10974 -0.193429 -1.20863 --1.32397 1.21838 -1.05448 2.31086 --1.32397 1.21838 1.08493 -2.00117 -0.929143 1.64869 -2.67905 -0.150337 -0.929143 1.64869 2.5376 -0.0887138 --0.43815 -0.0684858 0.796463 0.054686 --0.43815 -0.0684858 -0.377405 -0.656634 --0.43815 -0.0684858 -0.419058 0.601948 --1.92292 -1.59638 -1.98944 -3.48314 --1.92292 -1.59638 2.01916 3.32578 --1.31635 0.80957 -1.23596 1.59713 --1.31635 0.80957 1.42791 -1.2411 -1.93182 -1.09526 2.36309 2.45024 -1.93182 -1.09526 -2.25891 -2.27547 -0.758583 0.574825 0.930089 -0.833535 -0.758583 0.574825 -1.01009 0.0860779 -0.758583 0.574825 0.0800038 0.747457 -1.42674 0.543944 -0.769783 1.45505 --1.16904 1.82806 -0.258438 3.28188 --1.16904 1.82806 0.168472 -3.08871 --1.77249 0.0907625 2.50218 -0.168518 --1.77249 0.0907625 -2.18103 0.203737 --0.125896 -1.91137 -1.81104 2.04067 --0.125896 -1.91137 1.5425 -2.07873 --1.88802 1.03327 -2.25489 2.2474 --1.88802 1.03327 2.37105 -2.06654 --0.73591 1.63293 0.269184 2.48564 --0.73591 1.63293 -0.478686 -2.25635 -1.63717 0.524497 1.13271 -2.10962 -1.63717 0.524497 -0.850091 1.91615 -1.03176 1.9648 -3.35873 -0.27777 -1.03176 1.9648 3.24418 0.110352 -1.68487 -1.38271 2.78321 1.7535 -1.68487 -1.38271 -2.74304 -1.54697 -0.689262 0.754486 1.07375 -0.670444 -0.689262 0.754486 -1.19356 0.00477826 -0.933588 0.594242 1.02439 -1.0205 -0.933588 0.594242 -0.986679 0.274069 --1.16607 1.76 0.234441 -2.94628 --0.624349 -1.93692 0.814971 -2.83211 --0.624349 -1.93692 -1.01042 2.69264 --0.624349 -1.93692 0.195448 0.139469 -0.377005 1.58295 -2.03285 -0.949327 -0.377005 1.58295 1.68379 0.771912 -0.377005 1.58295 0.349058 0.177416 --1.54511 -0.544294 1.97936 0.925351 --1.54511 -0.544294 -1.69999 -1.15928 --0.786253 -1.73714 0.306961 -2.70688 --0.786253 -1.73714 -0.490281 2.50261 --0.786253 -1.73714 0.183319 0.204269 --1.85708 1.65856 -1.7973 3.56806 --1.85708 1.65856 1.81572 -3.40771 --0.540936 1.87733 0.869792 2.62683 --0.540936 1.87733 -1.09023 -2.48933 -1.3303 -0.577112 1.14104 1.57715 -1.90462 1.2574 2.68475 -2.29389 -1.90462 1.2574 -2.60963 2.11683 -1.90462 1.2574 -0.0751236 0.17706 --1.87029 -0.807767 2.46736 1.58797 --1.87029 -0.807767 -2.30358 -1.76254 --1.97579 -1.67668 -2.04482 -3.70197 --1.97579 -1.67668 2.06924 3.55502 --1.30341 1.989 -0.343733 3.73274 --1.30341 1.989 0.272787 -3.57041 --1.30341 1.989 0.0709467 -0.162337 -1.74432 -1.16092 2.38354 2.02972 -1.74432 -1.16092 -2.29633 -1.81853 --0.25944 1.39574 -1.0519 -1.43484 --0.25944 1.39574 0.62314 1.60849 --0.25944 1.39574 0.428757 -0.173645 -1.42196 -0.836902 1.60131 1.62133 -1.42196 -0.836902 -1.42456 -1.28837 -1.42196 -0.836902 -0.176749 -0.332961 --0.979162 -1.29275 0.318628 1.81336 --1.24235 1.27197 -0.875906 2.35111 --1.24235 1.27197 0.872306 -2.03045 --1.24235 1.27197 0.00359983 -0.320657 -0.911534 -1.98147 -3.25842 0.520185 -0.911534 -1.98147 3.12226 -0.359904 --1.44865 -1.94081 -0.684616 -3.78966 --1.44865 -1.94081 0.635953 3.6259 -1.58822 0.82197 1.65403 -1.91993 -1.58822 0.82197 -1.47125 1.65947 --1.70065 1.94637 -1.20542 4.05197 --1.70065 1.94637 1.18537 -3.90344 -0.788636 -1.3651 1.90311 0.198502 --0.43716 -1.1389 0.152838 -1.53251 --0.43716 -1.1389 -0.631351 1.19238 --0.43716 -1.1389 0.478514 0.340125 -1.08124 -0.325845 0.728898 1.27435 -1.08124 -0.325845 -0.046645 -1.08568 -1.08124 -0.325845 -0.682253 -0.188665 -0.102225 1.37111 -1.47533 -1.05614 -0.102225 1.37111 0.931934 1.03615 -0.102225 1.37111 0.543395 0.019995 -0.199188 -1.9856 -2.38443 1.69954 -0.199188 -1.9856 2.13676 -1.65095 -0.199188 -1.9856 0.247668 -0.0485918 -1.85455 1.84471 3.90413 -1.70683 -1.85455 1.84471 -3.90348 1.5608 --0.718159 1.78486 0.472405 2.70404 --0.718159 1.78486 -0.668021 -2.51955 -1.48044 -1.3381 -0.0234488 -0.249158 -1.22686 1.06291 1.85525 -1.16099 -1.22686 1.06291 -1.81319 0.788213 --0.832675 1.78272 0.283017 2.83468 --0.832675 1.78272 -0.450361 -2.63822 -1.45739 0.0999516 0.0521923 1.77063 --0.0184146 1.69495 -1.69537 -1.59369 --0.0184146 1.69495 1.34887 1.60969 -1.89541 1.80546 3.85627 -1.83415 -1.89541 1.80546 -3.84933 1.68848 -1.92624 0.792261 1.73754 -2.58325 -1.92624 0.792261 -1.57244 2.42058 -1.3365 1.10096 1.99763 -1.31579 -1.3365 1.10096 -1.94084 0.988307 -0.674973 1.55264 -2.28642 -0.483518 -0.674973 1.55264 2.05364 0.221176 -0.674973 1.55264 0.232783 0.262342 -0.117812 -1.0412 -1.17051 0.720109 -0.117812 -1.0412 0.417728 -0.894086 -0.117812 -1.0412 0.752781 0.173977 --0.77506 0.433077 -0.562717 0.980233 --0.77506 0.433077 1.00284 -0.401309 --0.77506 0.433077 -0.440122 -0.578924 --0.04867 1.32099 -1.25429 -1.15081 --0.04867 1.32099 0.724385 1.24682 --0.04867 1.32099 0.529908 -0.0960157 --0.172824 -1.91313 -1.74131 2.10364 --0.172824 -1.91313 1.47673 -2.15406 --0.172824 -1.91313 0.264578 0.050417 -1.54847 1.64502 3.19089 -1.25253 -1.54847 1.64502 -3.20304 1.05752 -0.421856 -0.516342 0.74748 0.567304 -0.421856 -0.516342 -0.916823 0.174902 -0.421856 -0.516342 0.169343 -0.742205 --1.79272 -1.37902 -1.86309 -2.92411 --1.79272 -1.37902 1.91383 2.73542 --1.86569 -0.891688 2.41122 1.75752 --1.86569 -0.891688 -2.26524 -1.93841 --1.86569 -0.891688 -0.145978 0.180895 --1.16541 0.991059 -0.914236 1.83647 --1.16541 0.991059 1.00488 -1.41683 --1.16541 0.991059 -0.0906438 -0.41964 --0.761914 -1.67818 0.279095 -2.58518 --0.761914 -1.67818 -0.475324 2.36675 --1.26039 -0.758731 -1.15679 -1.49592 --1.26039 -0.758731 1.37486 1.11421 --0.920564 1.98029 0.364141 3.27848 --0.920564 1.98029 -0.499918 -3.11881 --0.920564 1.98029 0.135776 -0.15967 -1.19823 -1.47727 2.53235 0.751139 -1.19823 -1.47727 -2.58894 -0.483635 -1.46692 -0.499387 1.05104 1.81863 -1.46692 -0.499387 -0.700911 -1.571 -1.46692 -0.499387 -0.35013 -0.247621 -1.0436 -1.78106 -3.0261 0.0679264 -1.0436 -1.78106 2.91284 0.136689 -1.0436 -1.78106 0.113267 -0.204616 -1.14975 0.19083 0.55491 -1.36923 -1.94342 1.31331 2.82888 -2.33813 -1.94342 1.31331 -2.76137 2.16911 -1.20475 -0.161251 0.511429 1.44223 -1.20475 -0.161251 0.0687835 -1.35048 --1.40952 -0.971803 -1.33879 -1.91614 --1.40952 -0.971803 1.46481 1.60331 --1.44681 1.17057 -1.30634 2.29801 --1.44681 1.17057 1.37028 -2.01639 --1.44681 1.17057 -0.0639352 -0.281622 --1.85189 -0.419816 2.59265 0.808043 --1.85189 -0.419816 -2.34384 -0.930416 -1.06572 0.747122 1.28233 -1.11945 -1.06572 0.747122 -1.17159 0.536506 -1.06572 0.747122 -0.110748 0.58294 -1.42094 1.648 3.07273 -0.997074 -1.42094 1.648 -3.10391 0.789076 -0.0383026 -1.85636 -1.97915 1.74497 -0.0383026 -1.85636 1.68878 -1.7368 -0.269153 1.09106 -1.34093 -0.617722 -0.269153 1.09106 0.890335 -0.102245 -0.269153 1.09106 0.450593 0.719968 --1.06351 -0.958798 -0.771452 -1.73604 --1.06351 -0.958798 0.863452 1.24795 -0.655162 -0.914003 -1.372 0.0810311 -0.655162 -0.914003 1.20363 0.519895 -0.655162 -0.914003 0.168367 -0.600926 -1.67172 1.93484 3.91666 -1.21914 -1.67172 1.93484 -3.93888 1.06802 -0.850859 -0.912264 1.35951 0.736661 -0.850859 -0.912264 -1.4307 -0.181815 -0.850859 -0.912264 0.0711914 -0.554847 -1.41263 -0.2459 -0.179191 -1.62779 --1.64973 -0.552072 2.16336 0.98528 --1.64973 -0.552072 -1.90595 -1.1854 --1.9594 0.962519 -2.43827 2.12612 --1.9594 0.962519 2.56602 -1.96077 -1.97471 0.48914 1.13364 -2.7689 -1.97471 0.48914 -0.919012 2.65751 --1.01354 1.22133 0.461522 -1.69913 -0.633374 -1.88007 -2.76789 0.890839 -0.633374 -1.88007 2.56518 -0.734998 --1.29925 1.13329 1.11552 -1.81208 --1.54542 0.434476 -0.319872 -0.209599 --0.100319 1.87268 -1.79977 -1.94952 --0.100319 1.87268 1.51875 1.98289 --0.100319 1.87268 0.281014 -0.0333662 --0.213145 1.6024 -1.31684 -1.6844 --0.213145 1.6024 0.95906 1.78836 --0.213145 1.6024 0.35778 -0.103956 --0.0476086 -0.794014 -0.858902 0.647083 --0.0476086 -0.794014 0.162084 -0.956526 --0.0476086 -0.794014 0.696818 0.309443 -0.918436 1.99386 -3.2889 -0.521319 --1.18223 -0.359894 1.48921 0.485765 --1.18223 -0.359894 -1.04841 -0.863872 --1.18223 -0.359894 -0.440796 0.378108 --0.824874 -1.75476 0.264029 -2.77956 --0.824874 -1.75476 -0.435557 2.57658 -0.980355 -1.2076 1.87395 0.655841 -0.980355 -1.2076 -1.95637 -0.267738 -0.950099 -0.787087 -1.25344 -0.345489 -0.635648 0.428698 0.746075 -0.767833 -0.635648 0.428698 -0.898955 -0.0138969 -0.0521023 1.83133 -1.96519 -1.69172 -0.0521023 1.83133 1.66683 1.67901 --0.702376 -1.9517 0.705305 -2.95771 --0.702376 -1.9517 -0.884365 2.81099 --1.75039 -0.91133 -2.01856 -1.93648 --1.75039 -0.91133 2.16498 1.7281 --1.36921 -1.95945 -0.505641 -3.74462 --1.36921 -1.95945 0.445187 3.58001 --1.84752 -1.95901 -1.51449 -4.22003 --1.84752 -1.95901 1.50649 4.08224 -0.764449 1.93491 -3.01012 -0.730973 -0.764449 1.93491 2.84182 0.571727 -0.51375 -0.264816 0.577493 0.703169 -0.51375 -0.264816 -0.799363 0.057722 -0.51375 -0.264816 0.22187 -0.760891 -1.05126 -1.02384 1.66343 0.919859 -1.05126 -1.02384 -1.67063 -0.475462 -1.18761 0.679487 -0.994436 0.784049 -1.56449 -1.66397 3.24438 1.26674 -1.56449 -1.66397 -3.25646 -1.07592 --0.924471 -1.12801 -0.466718 -1.90462 --0.924471 -1.12801 0.371227 1.40012 --0.811238 -0.763783 -0.51515 -1.35703 --0.811238 -0.763783 0.802015 0.69117 --0.811238 -0.763783 -0.286865 0.665861 -0.0228264 -0.0801841 -0.397297 0.182703 -0.0228264 -0.0801841 0.356642 0.251987 -0.0228264 -0.0801841 0.0406546 -0.434691 -0.956503 -1.82938 -3.02855 0.275992 -0.956503 -1.82938 2.89601 -0.0827764 -1.06824 0.64485 1.14478 -1.17103 -1.06824 0.64485 -0.980875 0.498088 -1.06824 0.64485 -0.163904 0.672945 -1.74971 -1.52467 3.12519 1.77083 -1.74971 -1.52467 -3.10029 -1.587 -1.74971 -1.52467 -0.0248972 -0.183828 --1.02359 -1.63167 -0.199102 -2.78422 --1.02359 -1.63167 0.0791332 2.5407 --1.02359 -1.63167 0.119968 0.243519 --0.245463 -0.874826 0.101026 -1.14064 --0.245463 -0.874826 -0.742726 0.814856 --0.245463 -0.874826 0.6417 0.325787 --0.414827 -1.87181 -1.30052 2.33319 --0.414827 -1.87181 1.0565 -2.44707 --1.43602 0.0283282 1.92503 -0.0448242 --1.43602 0.0283282 -1.39018 0.0759553 --1.10168 0.958675 0.928447 -1.29188 -0.832167 1.6037 -2.51335 -0.275994 -0.832167 1.6037 2.3415 0.0238253 -0.832167 1.6037 0.171854 0.252168 --0.764654 1.85388 0.479691 2.87258 --0.980537 -1.37587 0.241884 1.98549 --0.208129 1.65013 -1.37551 -1.74873 --0.208129 1.65013 1.03423 1.84218 --0.208129 1.65013 0.341283 -0.093448 --0.649357 1.62995 0.397022 2.38339 --0.649357 1.62995 -0.634228 -2.16603 --0.916132 1.40559 -0.236013 2.31466 --0.916132 1.40559 0.0834115 -1.98543 --0.418849 -1.23824 0.268986 -1.62086 --0.418849 -1.23824 -0.708609 1.32676 --0.418849 -1.23824 0.439623 0.294109 -0.935975 -0.755632 -0.0167748 -0.623143 --1.43671 1.08109 -1.33637 2.12754 --1.43671 1.08109 1.4264 -1.83284 --0.545248 -0.756681 -0.228481 -1.22606 --1.59053 1.26856 1.57777 -2.3357 --0.729767 1.07463 -0.238847 1.69625 --0.729767 1.07463 -0.11469 -1.12964 --0.729767 1.07463 0.353537 -0.56661 --0.542218 1.50907 0.411485 2.08822 --0.542218 1.50907 -0.710003 -1.85387 -0.099425 -0.603853 -0.830719 0.43537 --1.35495 -0.428735 1.71457 0.652693 --1.35495 -0.428735 -1.34519 -0.94521 --1.35495 -0.428735 -0.369379 0.292517 -1.03817 -1.19997 0.0586547 -0.379017 --0.648524 -1.13541 -0.0911108 -1.71049 --0.648524 -1.13541 -0.287443 1.25298 --0.648524 -1.13541 0.378554 0.457503 --1.97867 -0.766272 2.71238 1.55726 --1.97867 -0.766272 -2.54932 -1.70663 -1.68895 -1.0915 2.21286 1.96468 -1.68895 -1.0915 -2.11213 -1.73754 -1.68895 -1.0915 -0.100728 -0.227139 --1.16031 -1.30354 -0.713313 -2.34682 --1.16031 -1.30354 0.677272 2.01391 --1.16031 -1.30354 0.0360416 0.33291 --1.35223 1.88788 -0.546343 3.5854 --1.35223 1.88788 0.486334 -3.40944 --1.35223 1.88788 0.0600092 -0.175967 --1.6179 1.61364 -1.32928 3.28089 --1.6179 1.61364 1.33021 -3.08896 -1.8302 -1.33205 2.78885 2.08744 -1.8302 -1.33205 -2.72937 -1.90137 -0.136426 -1.00424 -1.15376 0.673611 -0.136426 -1.00424 0.381426 -0.871625 -0.136426 -1.00424 0.772329 0.198014 --1.03797 1.13351 -0.632943 1.98793 --1.03797 1.13351 0.606817 -1.54483 -1.21246 1.83567 -3.29363 0.202251 -1.21246 1.83567 3.21323 -0.391864 --1.45983 -0.193667 1.94684 0.311039 --1.45983 -0.193667 -1.49519 -0.464649 --1.45983 -0.193667 -0.451651 0.15361 --0.534862 -0.568967 -0.301613 -1.04658 -0.178023 1.43356 1.12919 0.949133 -0.178023 1.43356 0.498782 0.0906912 --0.981742 -0.375989 1.2326 0.429409 --0.981742 -0.375989 -0.78603 -0.921901 -1.83704 0.936346 1.98909 -2.34075 -1.83704 0.936346 -1.8502 2.14906 -0.822443 0.659654 1.04973 -0.862587 -0.822443 0.659654 -1.09227 0.161048 -0.822443 0.659654 0.0425398 0.701539 --1.19193 1.51045 0.539462 -2.46365 --1.99431 -1.37802 -2.29804 -3.05164 --1.99431 -1.37802 2.35845 2.89272 --1.99431 -1.37802 -0.0604175 0.158919 -1.01581 0.647694 1.12594 -1.1006 -1.01581 0.647694 -1.0179 0.412322 --1.75074 0.0549194 2.46391 -0.101057 --1.75074 0.0549194 -2.13207 0.123486 --1.80061 1.23087 -1.97037 2.61894 --1.80061 1.23087 2.04724 -2.42377 --1.80061 1.23087 -0.0768715 -0.195168 -0.148479 0.71827 -0.936665 -0.46663 -0.148479 0.71827 0.186338 0.822964 -0.148479 0.71827 0.750327 -0.356333 -0.441372 -1.91247 -2.59109 1.23733 -0.441372 -1.91247 2.35565 -1.1225 -0.441372 -1.91247 0.235446 -0.114835 --1.94766 1.62197 -2.02462 3.55839 --1.94766 1.62197 2.05302 -3.4053 -0.833636 -1.56321 -2.44686 0.237248 -0.833636 -1.56321 2.27487 0.0287596 --1.17842 0.81945 1.19415 -1.1426 -1.78462 -1.19229 2.47225 2.09003 -1.78462 -1.19229 -2.38973 -1.88861 -1.78462 -1.19229 -0.0825112 -0.201414 --0.292181 -1.37969 -0.992403 1.44002 --0.292181 -1.37969 0.567083 -1.63216 --0.292181 -1.37969 0.42532 0.192133 -0.234519 -1.46539 -1.7271 1.00719 -0.234519 -1.46539 1.26233 -0.874354 --1.24776 -0.000956574 -0.823832 -0.289955 --1.24776 -0.000956574 -0.819867 0.288608 --1.52863 0.553582 1.94636 -0.93402 --1.52863 0.553582 -1.66744 1.17577 -1.82354 1.80007 3.7768 -1.68157 -1.82354 1.80007 -3.77498 1.52941 --1.11702 1.72911 -0.26532 3.04803 --1.11702 1.72911 0.166921 -2.83226 -0.628909 1.63616 -2.37194 -0.635739 -0.628909 1.63616 2.13166 0.411294 -0.628909 1.63616 0.240272 0.224445 -1.46097 -0.390728 0.869179 1.82767 -1.46097 -0.390728 -0.476119 -1.62957 -1.46097 -0.390728 -0.39306 -0.198104 --0.0547506 -1.06094 -1.03054 0.87715 --0.0547506 -1.06094 0.383391 -1.08786 --0.0547506 -1.06094 0.647146 0.210708 --0.690956 1.64639 0.353151 2.45575 --0.690956 1.64639 -0.574886 -2.23682 --0.690956 1.64639 0.221736 -0.218937 --1.55661 -1.4451 -1.33663 -2.89532 --1.55661 -1.4451 1.35412 2.67379 --1.55661 -1.4451 -0.0174844 0.221539 --1.53332 1.14087 -1.48569 2.29038 --1.53332 1.14087 1.56683 -2.02969 -1.82861 -1.95937 4.13183 1.53615 -1.82861 -1.95937 -4.1415 -1.39739 -1.82861 -1.95937 0.00966353 -0.138763 -1.07957 0.227574 0.603425 -1.27864 -1.07957 0.227574 0.0592059 1.15666 -1.07957 0.227574 -0.662631 0.121975 --1.18389 1.93483 -0.171947 3.4978 --1.18389 1.93483 0.0828618 -3.3246 -1.81886 0.413105 0.95649 -2.47051 -1.81886 0.413105 -0.695819 2.34971 -1.81886 0.413105 -0.260671 0.120801 --1.38503 0.353696 1.78869 -0.546674 --1.38503 0.353696 -1.38811 0.804473 -1.83827 -0.318275 0.77373 2.51822 -1.83827 -0.318275 -0.503368 -2.42522 --1.85112 0.609816 2.52325 -1.18076 --1.85112 0.609816 -2.31388 1.33785 --1.71876 1.83145 -1.35206 3.8227 --1.71876 1.83145 1.34213 -3.66428 --1.02202 0.357493 -0.454511 -0.47109 --0.573776 -1.2889 0.137587 -1.83439 --0.573776 -1.2889 -0.489703 1.49884 -0.861914 -1.84301 -2.95525 0.459736 -0.861914 -1.84301 2.80161 -0.273189 --0.540674 -0.0286104 0.879068 0.0234365 --0.540674 -0.0286104 -0.435044 -0.661681 --0.540674 -0.0286104 -0.444023 0.638245 --1.34018 1.50153 -0.87897 2.83668 --1.34018 1.50153 0.851553 -2.58958 --1.86213 -1.58237 -1.8674 -3.40667 --1.86213 -1.58237 1.89474 3.24138 --0.711882 -1.75724 0.449498 -2.6525 --0.711882 -1.75724 -0.650146 2.46185 --0.556225 1.07416 -0.0316675 1.56453 --0.556225 1.07416 -0.436329 -1.13249 -0.310177 -1.38448 -1.7064 0.831633 -0.310177 -1.38448 1.20127 -0.596118 -0.310177 -1.38448 0.505134 -0.235515 --1.31259 0.247316 1.70818 -0.364384 --1.31259 0.247316 -1.22033 0.632049 -0.900606 -1.39796 -2.2253 -0.00893485 -0.900606 -1.39796 2.08433 0.333676 -0.900606 -1.39796 0.140969 -0.324741 --0.264431 -1.15274 0.333135 -1.37621 --0.264431 -1.15274 -0.86483 1.11937 --0.264431 -1.15274 0.531695 0.256835 --1.46297 1.53891 -1.08161 3.0068 --1.46297 1.53891 1.07102 -2.7843 -0.63188 1.33118 -1.9181 -0.358555 -0.63188 1.33118 1.65265 -0.0133462 -0.63188 1.33118 0.265452 0.371901 -0.117708 0.472845 -0.756343 -0.355706 --0.741616 0.399151 -0.534581 0.943324 --0.741616 0.399151 0.987729 -0.359629 --1.62489 0.201043 2.22333 -0.350826 --1.62489 0.201043 -1.85684 0.453393 --1.62489 0.201043 -0.366482 -0.102568 -0.314911 -0.719718 -1.02852 0.339574 -0.314911 -0.719718 0.824992 0.417857 -0.314911 -0.719718 0.203528 -0.757432 --1.59417 -1.31045 -1.50319 -2.65558 --1.59417 -1.31045 1.55009 2.42536 -1.29824 0.815827 1.50418 -1.42875 -1.20373 0.0149082 0.309876 -1.41659 -1.20373 0.0149082 0.269055 1.40836 -1.20373 0.0149082 -0.578931 0.00822443 -0.813079 -0.73171 1.1246 0.813575 -0.813079 -0.73171 -1.17928 -0.153146 -0.813079 -0.73171 0.0546759 -0.660429 -1.36315 0.170503 0.512253 -1.67652 -1.36315 0.170503 -0.026281 1.58371 -0.547507 -0.123005 0.468689 0.753188 -1.77721 0.970902 -1.89541 1.9979 -1.23831 1.18925 2.07189 -1.08235 -1.23831 1.18925 -2.06406 0.74789 -0.0424852 -1.77833 -1.88271 1.63133 -0.0424852 -1.77833 1.56613 -1.62181 --1.16699 0.211112 1.5112 -0.281013 --1.16699 0.211112 -0.965708 0.654779 --1.16699 0.211112 -0.545496 -0.373766 -0.573972 -1.44459 -2.03265 0.536641 -0.573972 -1.44459 1.7393 -0.23423 -1.2805 -0.824772 1.50915 1.39599 -1.2805 -0.824772 -1.34453 -0.982688 -0.803832 1.61507 -2.50634 -0.333811 -0.803832 1.61507 2.32537 0.0862921 -1.89731 0.0389516 0.21653 -2.62917 -1.89731 0.0389516 0.0579293 2.61831 --0.141255 1.94023 -1.825 -2.10478 --0.141255 1.94023 1.5651 2.14497 -1.83706 -1.45402 3.04837 2.01031 -1.83706 -1.45402 -3.00699 -1.83288 -1.83706 -1.45402 -0.0413846 -0.17743 -1.64669 0.894552 1.8152 -1.99321 -1.64669 0.894552 -1.65943 1.75078 --1.43117 1.39415 -1.13161 2.70576 --1.43117 1.39415 1.13977 -2.45413 --1.45713 -1.28951 -1.25259 -2.52651 --1.45713 -1.28951 1.28718 2.26382 --0.898914 -0.745302 0.897723 0.767406 -1.4788 -1.76753 3.36838 0.99093 -1.4788 -1.76753 -3.40161 -0.806137 -1.4788 -1.76753 0.0332226 -0.184793 --1.44033 -0.152804 1.92186 0.242619 --1.44033 -0.152804 -1.43887 -0.380763 --1.44033 -0.152804 -0.482994 0.138145 -0.173129 1.53325 -1.74104 -1.15775 -0.173129 1.53325 1.31427 1.07809 -1.29361 -1.81695 -3.33374 -0.381184 -1.29361 -1.81695 3.26843 0.570584 -0.764502 0.860367 1.23471 -0.675731 -0.764502 0.860367 -1.33806 0.0743665 -0.764502 0.860367 0.103349 0.601364 -1.30966 -1.86046 -3.43661 -0.37213 -1.30966 -1.86046 3.37187 0.553548 -1.30966 -1.86046 0.0647442 -0.181418 --0.892309 0.679858 -0.644349 1.28236 --0.892309 0.679858 0.953227 -0.696859 -1.79317 -1.05505 2.20266 2.19072 -1.79317 -1.05505 -2.09058 -1.98739 --1.23166 0.432448 1.52916 -0.606683 --1.23166 0.432448 -1.13821 0.96658 --0.266195 1.29201 -0.958561 -1.29884 --0.266195 1.29201 0.487751 1.50859 -1.75278 -0.795098 1.6745 2.23886 -1.75278 -0.795098 -1.49449 -2.03394 -1.75278 -0.795098 -0.180013 -0.204915 --1.58567 -0.0569647 2.17053 0.0974334 --1.58567 -0.0569647 -1.75768 -0.132204 --1.58567 -0.0569647 -0.412846 0.0347706 -1.88129 -1.39647 2.9608 2.14725 -1.88129 -1.39647 -2.90847 -1.97265 --0.428747 0.634194 -0.182901 1.05896 -0.264127 0.574458 -0.894529 -0.308642 -0.264127 0.574458 0.731958 -0.451222 -0.264127 0.574458 0.162571 0.759863 -0.189923 -0.421577 -0.759841 0.285186 -0.189923 -0.421577 0.632915 0.441884 -0.189923 -0.421577 0.126926 -0.72707 --0.982944 1.35812 0.263695 -1.95157 --0.41957 -0.833941 -0.0671093 -1.22594 -0.560615 1.72403 -2.43713 -0.833294 -0.560615 1.72403 2.18968 0.649617 -0.126847 -1.95739 -2.24275 1.76491 -0.126847 -1.95739 1.98377 -1.73336 --1.27106 -0.827459 -1.15398 -1.61285 --1.27106 -0.827459 1.33767 1.23509 -0.560322 -1.84018 -2.6193 0.963541 -0.560322 -1.84018 2.39363 -0.810379 --0.963268 -1.73574 0.0109219 -2.9 --0.963268 -1.73574 -0.147258 2.68504 -0.169702 -1.90571 -2.22856 1.63256 -0.169702 -1.90571 1.95761 -1.58641 --0.413043 1.67541 0.793468 2.15851 --0.413043 1.67541 -1.0851 -2.0063 -0.713097 0.220488 0.57176 -0.882271 -0.713097 0.220488 0.223236 0.864449 -0.713097 0.220488 -0.794997 0.0178219 --0.391693 -1.80144 -1.2576 2.18939 --0.391693 -1.80144 0.993588 -2.31019 --0.391693 -1.80144 0.264015 0.120806 --1.71266 -0.938833 -1.93146 -1.97774 --1.71266 -0.938833 2.07197 1.75904 -1.05346 -0.35381 0.760932 1.2352 -1.05346 -0.35381 -0.0488452 -1.03404 -0.309018 -1.22294 0.934546 -0.127468 -0.309018 -1.22294 0.580903 -0.556381 --0.209204 -0.877855 0.128516 -1.1162 --0.209204 -0.877855 -0.77604 0.801197 --1.22668 1.76879 -0.426088 3.23057 --1.22668 1.76879 0.34969 -3.02774 --1.94333 -0.0154658 2.83276 0.0305833 --1.94333 -0.0154658 -2.56542 -0.0349882 -1.50493 0.531082 1.11338 -1.87549 -1.50493 0.531082 -0.791811 1.63194 --0.635103 1.29885 0.0687611 1.90565 --0.635103 1.29885 -0.386006 -1.5542 --0.973233 0.399886 1.21328 -0.452844 --0.973233 0.399886 -0.777979 0.950751 --0.973233 0.399886 -0.435304 -0.497906 -0.985561 -0.986715 1.55985 0.855 -0.985561 -0.986715 -1.58467 -0.374128 -0.985561 -0.986715 0.0248157 -0.480872 -0.998907 -1.30521 -2.13546 -0.240689 -0.998907 -1.30521 2.04277 0.588323 --1.10756 1.79398 -0.181537 3.15513 --1.10756 1.79398 0.0795469 -2.9537 --1.88627 1.24694 -2.14216 2.70173 --1.88627 1.24694 2.21911 -2.52234 --1.88627 1.24694 -0.0769568 -0.179396 -1.85573 1.00706 2.14063 -2.34245 -1.85573 1.00706 -2.01809 2.15318 --0.637105 -0.975206 -0.195898 -1.51182 --0.637105 -0.975206 -0.320156 0.976155 --0.637105 -0.975206 0.516054 0.535663 --0.876565 1.01308 0.443542 -1.05153 --0.635328 1.24637 0.0201037 1.8382 --0.635328 1.24637 -0.355201 -1.45724 -0.616933 -1.05012 -1.52534 0.192247 -0.616933 -1.05012 1.30022 0.351171 --0.0416297 0.439365 -0.65717 -0.437492 --0.0416297 0.439365 0.0124987 0.770382 --0.0416297 0.439365 0.644671 -0.332889 -1.59801 -0.972841 1.93519 1.86178 -1.59801 -0.972841 -1.80484 -1.60441 -1.59801 -0.972841 -0.130346 -0.257371 -1.17409 0.102525 0.434615 -1.3938 -1.17409 0.102525 0.162003 1.33719 -1.48522 0.95338 -1.70581 1.37116 --0.695775 0.681527 -0.416265 1.21743 --0.695775 0.681527 0.803352 -0.535693 --0.695775 0.681527 -0.387086 -0.681737 -1.08125 -1.77358 -3.04833 -0.00960723 -1.08125 -1.77358 2.9435 0.215316 --1.05233 1.06074 -0.699634 1.88495 --1.05233 1.06074 0.720113 -1.41816 -1.42029 1.07722 2.0146 -1.47742 -1.42029 1.07722 -1.93487 1.17227 -1.42029 1.07722 -0.0797348 0.305156 --1.78332 0.375185 2.47372 -0.702893 --1.78332 0.375185 -2.19964 0.828491 --1.78332 0.375185 -0.274076 -0.125598 --1.71083 0.927745 -1.9321 1.95468 --1.71083 0.927745 2.07553 -1.73576 --0.933357 -1.85116 0.189994 -3.06609 --0.933357 -1.85116 -0.329567 2.87974 -0.807697 -0.45852 -0.903281 -0.108002 -0.807697 -0.45852 0.0765186 -0.818578 -1.31504 -1.21616 2.17965 1.19152 -1.31504 -1.21616 -2.1599 -0.883135 --1.60744 -1.11618 -1.64201 -2.28187 --1.60744 -1.11618 1.7348 2.03897 --0.604889 -1.09219 -0.0731473 -1.62379 --0.604889 -1.09219 -0.359602 1.16797 --1.49097 0.327194 1.9674 -0.536138 --1.49097 0.327194 -1.58872 0.734853 --1.47851 0.429553 1.91312 -0.701923 --1.47851 0.429553 -1.57404 0.936776 -0.498498 1.43992 -1.9576 -0.638955 -0.498498 1.43992 1.61885 0.347434 -0.498498 1.43992 0.338749 0.291521 --0.252566 -1.44575 -1.1059 1.49886 --0.252566 -1.44575 0.695854 -1.65518 --0.252566 -1.44575 0.410047 0.156315 -1.8448 -1.12178 2.36706 2.2558 -1.8448 -1.12178 -2.26857 -2.06437 -1.8448 -1.12178 -0.0984907 -0.191428 -1.28989 -1.58106 2.81364 0.813976 -1.28989 -1.58106 -2.86166 -0.580274 --1.32569 1.32256 -0.988095 2.49844 --1.32569 1.32256 0.991428 -2.2108 --1.32569 1.32256 -0.00333361 -0.287639 --1.29568 0.0350112 -0.971983 0.221812 --1.29568 0.0350112 -0.73971 -0.170916 -0.949708 -1.39472 -2.25587 -0.0944326 -0.949708 -1.39472 2.13363 0.415761 -0.949708 -1.39472 0.122245 -0.321328 --1.00353 -1.89484 0.115801 -3.22305 --1.00353 -1.89484 -0.239007 3.04348 -1.2946 -1.60423 2.8618 0.79927 -1.2946 -1.60423 -2.91125 -0.570698 -1.38153 -1.05761 1.95444 1.42312 -1.38153 -1.05761 -1.87471 -1.10193 -1.38153 -1.05761 -0.0797346 -0.32119 -0.729651 1.59629 -2.40649 -0.43772 -0.729651 1.59629 2.19853 0.187704 -0.729651 1.59629 0.207962 0.250015 -1.74158 0.27711 0.689369 -2.3345 -1.74158 0.27711 -0.384863 2.24049 --1.61912 -1.10302 -0.0967623 0.240608 -0.504084 1.36419 -1.85903 -0.563632 -0.504084 1.36419 1.50956 0.21902 -1.45552 -0.200401 0.554485 1.82666 -1.45552 -0.200401 -0.121202 -1.72613 -1.49115 -0.548456 -0.820768 -1.59195 -1.88557 -0.448356 1.03574 2.59624 --0.232899 1.73556 -1.43408 -1.90414 --0.232899 1.73556 1.12532 1.99216 --0.232899 1.73556 0.308763 -0.0880177 --1.4186 0.129508 1.89045 -0.203058 --1.4186 0.129508 -1.37997 0.336024 --1.4186 0.129508 -0.510474 -0.132967 -0.934315 1.07411 1.63864 -0.712019 -0.934315 1.07411 -1.7106 0.257041 --1.82323 1.97664 -1.44382 4.23605 --1.82323 1.97664 1.43273 -4.09809 --1.82323 1.97664 0.0110921 -0.137962 --1.94104 1.96017 -1.72331 4.31022 --1.94104 1.96017 1.7221 -4.17874 -1.12947 -0.174638 0.534487 1.34174 -1.12947 -0.174638 0.0917183 -1.2457 --1.59458 0.850474 -1.73033 1.76019 --1.59458 0.850474 1.89945 -1.51034 --1.98811 -0.333553 2.88528 0.671615 --1.98811 -0.333553 -2.65258 -0.753756 -0.888413 0.547422 0.951773 -0.985597 -0.888413 0.547422 -0.954549 0.205603 -0.888413 0.547422 0.00277555 0.779994 -0.194911 -0.861978 0.270646 -0.817236 -0.791187 1.97352 -3.1083 -0.728005 -0.791187 1.97352 2.9487 0.574122 -1.50326 0.682842 1.37315 -1.82654 -1.50326 0.682842 -1.12242 1.5427 --1.15488 -1.04264 -0.870731 -1.9139 --1.15488 -1.04264 0.932013 1.49924 -0.355976 1.8291 -2.35911 -1.26398 -0.355976 1.8291 2.08835 1.1554 -1.76872 0.807377 1.70473 -2.26455 --1.99364 0.230852 2.91557 -0.464954 --1.99364 0.230852 -2.67292 0.523361 -1.51276 -1.2488 2.3918 1.52271 -1.51276 -1.2488 -2.34488 -1.26743 -1.51276 -1.2488 -0.0469165 -0.255279 -1.18485 -1.43632 2.44676 0.768131 -1.18485 -1.43632 -2.50132 -0.488519 -1.53955 -0.0944995 0.367241 1.95919 -1.53955 -0.0944995 0.0342055 -1.91642 --0.269264 1.25973 -0.930577 -1.25837 --0.269264 1.25973 0.446839 1.48041 --1.92727 -0.77407 2.60172 1.54819 --1.92727 -0.77407 -2.43561 -1.70814 -1.10613 1.42483 -2.4228 0.350138 -1.10613 1.42483 2.34817 -0.643434 --1.87174 -1.497 -1.95071 -3.22921 --1.87174 -1.497 1.98934 3.05946 -1.1068 -0.485001 0.943208 1.27774 -1.1068 -0.485001 -0.223597 -0.920045 -1.1068 -0.485001 -0.719611 -0.357698 --1.32841 -1.22776 -1.05645 -2.33036 --1.32841 -1.22776 1.08505 2.02383 -0.23221 1.73424 -2.0715 -1.32253 -0.23221 1.73424 1.7501 1.23933 -1.46884 0.303539 0.725231 -1.84846 -1.46884 0.303539 -0.314622 1.69698 -0.119107 -0.801897 -0.979411 0.540087 -1.96951 -0.407802 -0.739151 -2.67507 --0.808838 1.74233 0.276194 2.74102 --0.808838 1.74233 -0.452988 -2.53608 -0.264362 -1.61717 -1.95305 1.13904 -0.264362 -1.61717 1.58732 -1.02248 -0.77875 -0.621484 0.0670101 -0.724018 -1.91081 -1.35386 2.89216 2.24062 -1.91081 -1.35386 -2.83205 -2.06827 -0.164695 -0.622742 -0.878528 0.401868 -0.164695 -0.622742 0.724714 0.392425 -0.164695 -0.622742 0.153814 -0.794292 --0.629263 -0.874277 -0.250539 -1.39383 --0.629263 -0.874277 -0.365341 0.853365 --0.629263 -0.874277 0.61588 0.54047 --1.356 -1.73449 -0.704355 -3.29083 --1.356 -1.73449 0.654315 3.08983 --1.37653 1.20804 -1.15526 2.32498 --1.37653 1.20804 1.19828 -2.02868 -1.40378 -1.98805 -3.79172 -0.439876 -1.40378 -1.98805 3.73545 0.598736 -1.40378 -1.98805 0.0562644 -0.158861 -1.64541 1.80908 3.62272 -1.29179 -1.64541 1.80908 -3.63864 1.12561 --1.12911 -0.806336 -0.934354 -1.53204 --1.12911 -0.806336 1.13013 1.07713 -1.67682 -1.79688 3.62817 1.37004 -1.67682 -1.79688 -3.63973 -1.20515 --0.198442 -0.27611 -0.145651 -0.701658 --0.198442 -0.27611 -0.502444 0.474011 --0.455212 -1.82999 0.938156 -2.4393 --0.455212 -1.82999 -1.18398 2.30941 --0.455212 -1.82999 0.245824 0.129889 -1.00232 -0.627528 1.09419 1.09194 -1.00232 -0.627528 -0.995103 -0.380835 -1.00232 -0.627528 -0.0990902 -0.711108 --1.60364 -0.487561 2.10657 0.849853 --1.60364 -0.487561 -1.81926 -1.05172 --1.60364 -0.487561 -0.287313 0.201867 --1.45051 0.466085 1.85236 -0.751452 --1.45051 0.466085 -1.52223 1.00713 -1.57677 -1.19627 2.33962 1.68129 -1.57677 -1.19627 -2.27283 -1.43458 -1.46402 0.347853 0.798436 -1.83738 -1.46402 0.347853 -0.395234 1.66208 --0.79836 1.46332 -0.00263712 2.29309 --0.79836 1.46332 -0.201995 -1.99352 --0.922269 1.76651 0.114223 2.90803 --0.922269 1.76651 -0.26003 -2.70221 -1.30469 -0.081071 0.382986 1.57582 -1.30469 -0.081071 0.13942 -1.53102 -0.80653 -1.94913 -3.08259 0.673179 -0.80653 -1.94913 2.92404 -0.513261 --0.506009 -1.08644 0.0336188 -1.53709 --0.506009 -1.08644 -0.514258 1.14078 --0.506009 -1.08644 0.480639 0.396315 --0.341698 0.44076 -0.19258 0.872173 --0.341698 0.44076 -0.539481 -0.580152 --0.341698 0.44076 0.732061 -0.292022 -1.18587 0.917113 1.59808 -1.1957 -1.18587 0.917113 -1.5117 0.760298 --0.767002 1.11142 -0.260414 1.77077 --0.767002 1.11142 -0.0226744 -1.22244 --0.767002 1.11142 0.283089 -0.548321 --1.01 -1.26875 -0.494733 -2.1785 --1.01 -1.26875 0.406152 1.7939 -0.409587 1.31316 -1.71039 -0.642408 -0.409587 1.31316 1.26575 0.266848 -0.409587 1.31316 0.444633 0.37556 -0.00189924 -1.82953 -1.89255 1.75503 -0.00189924 -1.82953 1.59394 -1.75876 --1.60417 -0.429751 2.12884 0.747477 --1.60417 -0.429751 -1.82253 -0.935305 --1.60417 -0.429751 -0.306311 0.187828 -0.442069 1.77774 -2.3858 -1.07431 -0.442069 1.77774 2.11887 0.932088 --1.83642 -0.600985 2.4979 1.15717 --1.83642 -0.600985 -2.2844 -1.31622 --1.56907 -0.700996 1.94261 1.21713 --1.56907 -0.700996 -1.72239 -1.46497 -0.299351 -1.63493 -2.01708 1.11281 -0.299351 -1.63493 1.66732 -0.984226 --0.642426 0.615516 -0.385802 1.12953 -1.09938 1.82476 -3.16259 -0.00567221 -1.09938 1.82476 3.06068 -0.188928 --1.86999 -1.66096 -1.82351 -3.58357 --1.86999 -1.66096 1.84262 3.42476 -0.764234 0.620246 0.979447 -0.819213 -0.764234 0.620246 -1.05418 0.0947884 -0.581666 1.458 -2.05892 -0.537514 -0.581666 1.458 1.77158 0.241431 -1.21572 0.705115 1.29405 -1.35434 -1.21572 0.705115 -1.05734 0.856297 -1.49208 1.42891 2.71562 -1.33804 -1.49208 1.42891 -2.70667 1.10479 --1.62564 -1.4456 -1.47384 -2.94635 --1.62564 -1.4456 1.49942 2.73626 -1.24531 -0.445457 0.919723 1.48168 -1.24531 -0.445457 -0.38962 -1.1683 -1.65359 -0.392273 0.895814 2.16245 -1.65359 -0.392273 -0.58278 -2.01454 -1.65359 -0.392273 -0.313034 -0.147913 --1.35759 -1.70989 -0.730404 -3.24503 --1.35759 -1.70989 0.682628 3.03983 -1.17971 0.392802 0.83239 -1.39727 -1.17971 0.392802 -0.225433 1.13168 -1.96124 -1.37193 2.9666 2.3353 -1.96124 -1.37193 -2.90702 -2.17105 --1.52075 -1.63631 -1.11462 -3.24588 --1.52075 -1.63631 1.10029 3.04537 -0.52197 -1.63672 1.98461 -0.595203 -0.52197 -1.63672 0.278841 -0.203876 --0.434304 -0.218444 -0.33085 -0.743107 --0.434304 -0.218444 0.792586 0.167777 --0.434304 -0.218444 -0.461735 0.57533 --1.09531 0.450572 1.33638 -0.56881 --1.09531 0.450572 -0.937922 1.00729 --1.09531 0.450572 -0.398454 -0.438482 --0.558059 -0.139225 0.889526 0.11378 --0.558059 -0.139225 -0.4264 -0.722266 --0.558059 -0.139225 -0.463126 0.608486 -0.861714 -0.101465 0.464615 1.02998 -0.861714 -0.101465 0.274517 -1.00118 -1.47133 -1.50842 2.84997 1.22775 -1.47133 -1.50842 -2.85632 -1.00356 -1.64109 1.91798 3.84859 -1.17129 -1.64109 1.91798 -3.87289 1.01647 -1.29584 -1.92429 -3.55223 -0.2817 -1.29584 -1.92429 3.48279 0.453567 --1.48241 -1.82729 -0.86533 -3.59373 --1.48241 -1.82729 0.828025 3.41654 -1.48418 0.641911 1.29631 -1.80812 -1.57504 0.596052 1.24486 -1.98012 -1.57504 0.596052 -0.970815 1.74605 --1.96916 1.77856 -1.94719 3.92509 --1.96916 1.77856 1.96174 -3.78375 --0.246089 0.132621 -0.240357 0.615197 --0.246089 0.132621 0.647793 -0.11803 --1.57015 -1.6864 -1.17107 -3.38884 --1.57015 -1.6864 1.15789 3.20048 -0.779569 1.41632 -2.16254 -0.202244 -0.779569 1.41632 1.97049 -0.122194 -1.29874 -1.94922 -3.60569 -0.262574 -1.29874 -1.94922 3.53589 0.430534 -1.845 0.0242354 0.193389 -2.52207 -1.845 0.0242354 0.0963761 2.5148 --1.52779 1.4055 -1.3087 2.79691 --1.52779 1.4055 1.32931 -2.56513 -1.333 1.23556 2.22792 -1.20729 -1.333 1.23556 -2.20898 0.907538 -0.565889 -1.77668 -2.52508 0.882863 -0.565889 -1.77668 2.28916 -0.712952 -0.565889 -1.77668 0.235915 -0.169911 --1.58796 1.68077 -1.21212 3.39272 --1.58796 1.68077 1.20177 -3.20553 --1.41217 -1.67051 -0.871518 -3.21869 --1.41217 -1.67051 0.836766 3.01173 --1.26378 -1.78211 -0.482474 -3.29246 --1.26378 -1.78211 0.412575 3.09408 -1.24754 1.93345 -3.52221 0.175267 -1.24754 1.93345 3.44487 -0.347117 -1.24754 1.93345 0.077338 0.17185 -1.19051 -0.434163 0.892474 1.40498 -1.19051 -0.434163 -0.297239 -1.09393 -1.19051 -0.434163 -0.595235 -0.311045 --0.233445 -0.980312 0.193225 -1.20784 --0.233445 -0.980312 -0.803149 0.909454 -0.836513 -1.01697 1.47702 0.632982 -0.836513 -1.01697 -1.5813 -0.127068 -0.511336 1.31882 -1.80424 -0.515526 -0.511336 1.31882 1.45645 0.135224 --1.40174 -1.17052 -1.2235 -2.27186 --1.40174 -1.17052 1.28141 1.97711 --0.214119 -1.86972 -1.6227 2.08814 --0.214119 -1.86972 1.35051 -2.15361 -0.0202382 0.0230668 0.226169 -0.216508 -0.0202382 0.0230668 0.0744259 0.304069 -0.0202382 0.0230668 -0.300595 -0.0875616 -1.23882 1.34157 2.33239 -0.952009 -1.23882 1.34157 -2.35792 0.656979 -1.23882 1.34157 0.0255349 0.29503 --0.563892 -1.68124 0.584529 -2.35795 --0.563892 -1.68124 -0.836794 2.17154 --0.563892 -1.68124 0.252265 0.186405 -1.57705 -1.31337 2.56331 1.59544 -1.57705 -1.31337 -2.52189 -1.36192 -0.894693 1.40133 -2.22653 -0.00345622 -0.894693 1.40133 2.08299 -0.32048 -0.894693 1.40133 0.143541 0.323936 --1.28269 -0.979003 -1.11369 -1.87225 --1.28269 -0.979003 1.22646 1.5083 --1.28269 -0.979003 -0.112763 0.363958 --0.814574 1.96299 0.528929 3.11842 --0.814574 1.96299 -0.685697 -2.96271 --0.904741 -0.147761 1.20776 0.15863 --0.904741 -0.147761 -0.661203 -0.709478 --0.904741 -0.147761 -0.546557 0.550848 -0.337838 -0.26428 0.544272 0.565558 -1.91636 -1.68089 3.60104 1.99283 -1.91636 -1.68089 -3.5812 -1.84029 -0.311215 0.816973 -1.10893 -0.393882 --0.481925 -0.109348 0.83056 0.0871988 --0.481925 -0.109348 -0.389167 -0.689905 --0.481925 -0.109348 -0.441394 0.602707 --1.86449 -0.66209 2.52719 1.29068 --1.86449 -0.66209 -2.33106 -1.4519 -1.67273 1.96419 3.98083 -1.19045 -1.67273 1.96419 -4.00477 1.04232 --0.27895 -0.446405 -0.144613 -0.853406 --0.27895 -0.446405 -0.562805 0.560436 --1.32346 -1.34833 -0.96576 -2.54338 --1.32346 -1.34833 0.962766 2.26077 --0.728996 1.88401 0.575641 2.87876 --0.728996 1.88401 -0.757149 -2.71556 --0.13833 1.58935 -1.40928 -1.58588 --0.13833 1.58935 1.03291 1.66281 --0.13833 1.58935 0.376364 -0.0769304 -1.34569 -0.394 0.859058 1.64206 -1.34569 -0.394 -0.398208 -1.40614 -1.75403 -1.19937 2.4664 2.02402 -1.75403 -1.19937 -2.38678 -1.81676 -0.645121 -0.135768 0.489884 0.83128 -0.645121 -0.135768 0.284994 -0.834405 -0.645121 -0.135768 -0.774878 0.00312472 --1.66298 0.703944 2.11504 -1.27379 --1.66298 0.703944 -1.90575 1.49179 --1.33935 0.862048 -1.25815 1.69481 --1.33935 0.862048 1.42631 -1.34921 --1.33935 0.862048 -0.168163 -0.345607 -1.85742 1.06681 2.26261 -2.31332 -1.85742 1.06681 -2.15277 2.12399 -1.9066 1.69061 3.61377 -1.96293 -1.9066 1.69061 -3.59555 1.81008 -1.68681 0.260782 0.657338 -2.23264 -1.68681 0.260782 -0.332049 2.13659 -1.0298 -0.59197 1.05951 1.14159 -1.0298 -0.59197 -0.925501 -0.395914 -1.0298 -0.59197 -0.134009 -0.745677 -1.34047 -1.76708 -3.27656 -0.521615 -1.34047 -1.76708 3.2221 0.716682 --0.58886 1.97561 0.924283 2.84815 --0.58886 1.97561 -1.12043 -2.72058 --1.96329 -0.241901 2.85282 0.482396 --1.96329 -0.241901 -2.60396 -0.546406 -1.85549 -1.52511 3.21332 1.99268 -1.85549 -1.52511 -3.18014 -1.82258 --1.85389 0.805061 2.43541 -1.5737 --1.85389 0.805061 -2.26977 1.75166 --0.590732 -0.165086 0.913919 0.136928 -1.65387 1.29528 2.58619 -1.75848 -1.65387 1.29528 -2.53309 1.53813 -1.24416 -1.57618 -2.81511 -0.494696 -1.24416 -1.57618 2.75801 0.734139 -1.60506 -0.180641 0.512981 2.08283 -1.60506 -0.180641 -0.146553 -2.00768 -1.60506 -0.180641 -0.366428 -0.0751481 --0.427785 1.91915 -1.3349 -2.42857 --0.427785 1.91915 1.10277 2.53755 -0.248219 -1.34761 1.01573 -0.692036 -1.09299 1.26069 2.06291 -0.781533 -1.09299 1.26069 -2.11498 0.435141 --1.489 -1.70002 -0.996113 -3.34507 --1.489 -1.70002 0.97044 3.15033 -0.234836 -0.519958 -0.843819 0.303213 -0.234836 -0.519958 0.695384 0.450341 -0.234836 -0.519958 0.148435 -0.753554 --1.96069 0.440846 2.80238 -0.881649 --1.96069 0.440846 -2.57941 0.989327 -0.974863 1.1419 1.7714 -0.709087 -0.974863 1.1419 -1.84197 0.293141 -0.212132 0.549809 -0.852936 -0.332579 -0.212132 0.549809 0.705334 -0.431711 -0.816612 -0.413148 0.781407 0.948661 -0.816612 -0.413148 -0.869194 -0.102405 -0.816612 -0.413148 0.0877877 -0.846256 -0.920029 1.70852 -2.77593 -0.222253 -0.920029 1.70852 2.63222 -7.00233e-005 -1.98318 -0.823984 1.82498 2.68775 -1.98318 -0.823984 -1.67103 -2.5337 -1.3201 0.603376 -0.832141 1.16551 --1.1571 -0.109175 1.51419 0.144161 --1.1571 -0.109175 -0.876759 -0.530818 --1.1571 -0.109175 -0.637427 0.386657 -1.28703 -0.744 1.38547 1.44589 -1.28703 -0.744 -1.1641 -1.0205 -1.28703 -0.744 -0.221373 -0.425383 --1.8495 1.92635 -1.54948 4.14938 --1.8495 1.92635 1.54386 -4.00915 -0.731928 0.676483 1.02097 -0.758047 -0.731928 0.676483 -1.11305 0.0609853 -1.62195 -1.08369 2.15663 1.84131 -1.62195 -1.08369 -2.05747 -1.59649 -1.62195 -1.08369 -0.0991565 -0.244825 -1.17911 -0.0601809 0.376854 1.39339 -1.17911 -0.0601809 0.216042 -1.36037 --1.28392 0.669369 -1.21533 1.35341 --1.28392 0.669369 1.47626 -0.989341 --1.47459 0.259649 -1.54329 0.600319 -1.02899 1.54258 -2.57703 0.119043 -1.02899 1.54258 2.46839 -0.385449 -1.02899 1.54258 0.108639 0.266405 --1.00133 1.45841 -0.324668 2.47435 --1.00133 1.45841 0.205039 -2.17229 -1.64247 -1.26912 2.52663 1.75539 -1.64247 -1.26912 -2.46938 -1.53032 -0.050552 0.00545288 0.196576 -0.31411 -0.050552 0.00545288 0.17354 0.327343 -0.050552 0.00545288 -0.370117 -0.0132328 -1.04848 1.50711 -2.52881 0.182778 -1.04848 1.50711 2.42855 -0.458095 --0.584247 -1.01883 -0.1054 -1.52406 --0.584247 -1.01883 -0.3907 1.0498 --0.86669 -1.83575 0.286944 -2.96298 --0.86669 -1.83575 -0.442372 2.7768 -0.393971 1.01595 -1.35242 -0.433356 -0.393971 1.01595 1.02252 -0.221612 --0.479664 -1.96517 1.08581 -2.68201 --0.479664 -1.96517 -1.30127 2.57037 --0.479664 -1.96517 0.215457 0.111642 --1.28471 -1.02823 -1.09361 -1.95711 --1.28471 -1.02823 1.18526 1.60009 --0.524763 0.401881 -0.346533 0.901695 --0.524763 0.401881 0.831611 -0.297734 --0.524763 0.401881 -0.485078 -0.603961 --0.0150094 -1.08229 -1.08513 0.867333 --0.0150094 -1.08229 0.425973 -1.05437 --1.46215 1.81167 -0.839592 3.54299 --1.46215 1.81167 0.800556 -3.36215 --1.46215 1.81167 0.0390364 -0.180836 --1.62947 0.657273 2.07674 -1.16924 --1.62947 0.657273 -1.84911 1.39205 -1.13251 -1.26653 2.10877 0.840438 -1.13251 -1.26653 -2.14938 -0.503858 --1.92977 -1.01317 -2.35301 -2.2229 --1.92977 -1.01317 2.47223 2.05046 --1.92977 -1.01317 -0.119213 0.172443 --1.50575 1.77942 -0.95751 3.51925 --1.50575 1.77942 0.927078 -3.33725 --1.50575 1.77942 0.0304315 -0.181999 --0.0585751 -1.2796 -1.20497 1.11196 --0.0585751 -1.2796 0.656168 -1.22831 -0.500512 -0.766886 0.189753 -0.696638 --0.918921 -1.68867 0.0357771 -2.77327 --0.918921 -1.68867 -0.185433 2.5468 -1.69088 -1.64499 3.32343 1.54354 -1.69088 -1.64499 -3.31884 -1.36418 -1.69088 -1.64499 -0.00459802 -0.179352 -1.51197 0.217136 0.580449 -1.9219 -1.51197 0.217136 -0.177046 1.81991 -0.582775 0.769828 -1.18362 -0.113803 -0.582775 0.769828 1.01892 -0.563771 -1.7187 1.93485 3.9655 -1.32039 -1.7187 1.93485 -3.98315 1.17231 --1.25523 0.220268 1.63092 -0.312276 --1.25523 0.220268 -1.1056 0.615435 --0.234917 -0.437727 -0.116379 -0.831211 --0.234917 -0.437727 -0.575228 0.539146 --0.234917 -0.437727 0.691607 0.292066 -1.14131 -1.28845 2.15298 0.83487 -1.14131 -1.28845 -2.19525 -0.506736 -1.14131 -1.28845 0.0422767 -0.328135 -1.46287 -0.847427 1.63965 1.68604 -1.46287 -0.847427 -1.46613 -1.37306 --1.72509 -1.58339 -1.57485 -3.30375 --1.72509 -1.58339 1.59088 3.12186 -1.34138 -1.30179 2.35201 1.16752 -1.34138 -1.30179 -2.34616 -0.88364 --1.53701 -0.868306 -1.61418 -1.77479 --1.53701 -0.868306 1.77919 1.50563 --1.9621 -0.924326 2.59397 1.88124 --1.9621 -0.924326 -2.45925 -2.04447 --1.9621 -0.924326 -0.134727 0.163229 --0.675628 0.626424 -0.415459 1.15228 --0.675628 0.626424 0.829558 -0.490857 -1.84756 1.49869 3.15088 -1.99714 -1.84756 1.49869 -3.11484 1.82419 --1.3662 0.538924 1.68234 -0.831052 --0.0148141 1.61554 0.38064 -0.0199342 -1.45405 -1.01276 1.92298 1.57841 -1.45405 -1.01276 -1.81688 -1.27561 -1.45405 -1.01276 -0.106094 -0.302799 -1.78752 0.0472716 0.246426 -2.41161 -1.78752 0.0472716 0.0609207 2.39624 -0.0566289 0.561677 -0.780764 -0.439861 -1.75168 0.280379 -0.300835 0.0936797 -0.394791 -1.15575 1.09037 0.0301519 --1.75354 1.7843 -1.46859 3.75287 --1.75354 1.7843 1.46598 -3.59292 -1.4739 1.18308 2.2417 -1.49949 -1.4739 1.18308 -2.18434 1.22565 -1.4739 1.18308 -0.0573567 0.273843 --0.574372 0.163196 0.900925 -0.134069 --0.574372 0.163196 -0.432607 0.739338 --0.574372 0.163196 -0.468318 -0.605269 --1.68421 -1.37227 -1.64319 -2.83845 --1.68421 -1.37227 1.68691 2.63108 --1.68421 -1.37227 -0.0437209 0.207378 -0.985938 0.639248 -1.02065 0.363428 -1.9995 -1.13227 2.47954 2.57141 -1.9995 -1.13227 -2.38208 -2.40844 -1.9995 -1.13227 -0.0974599 -0.162978 -1.17225 -1.93449 -3.44765 -0.0249505 -1.17225 -1.93449 3.35782 0.198078 --1.14101 0.509106 1.36616 -0.668758 --1.14101 0.509106 -1.00502 1.0892 --1.14101 0.509106 -0.361146 -0.420441 --0.374735 -1.73084 -1.20649 2.05529 --0.374735 -1.73084 0.921394 -2.18526 -1.33259 -1.98255 -3.70809 -0.297922 -1.33259 -1.98255 3.64223 0.459967 -1.63767 0.58764 -0.98521 1.88535 -0.165266 1.13094 -1.29372 -0.753951 -0.165266 1.13094 0.528563 0.838848 -0.165266 1.13094 0.765157 -0.0848972 -1.69089 -0.485879 1.07331 2.216 -1.69089 -0.485879 -0.794597 -2.04845 -1.73504 0.242776 0.624429 -2.32293 -1.73504 0.242776 -0.313359 2.23931 -1.95643 -1.57254 3.39763 2.17187 -1.95643 -1.57254 -3.36375 -2.01681 --1.17008 0.245913 1.50745 -0.328223 --1.17008 0.245913 -0.988968 0.701844 --1.68724 -0.820709 -1.92229 -1.73155 --1.68724 -0.820709 2.09565 1.51077 --1.05388 -1.62443 -0.258098 -2.80147 --1.05388 -1.62443 0.146988 2.55676 --1.12271 -1.95461 -0.0348512 -3.46713 --1.12271 -1.95461 -0.0649809 3.29715 --1.44331 -0.441304 1.85051 0.707841 --1.44331 -0.441304 -1.50776 -0.96092 --1.64525 0.139604 2.26747 -0.24567 --1.64525 0.139604 -1.89784 0.316115 --0.784821 1.02609 0.00204906 -0.964129 --0.784821 1.02609 0.340587 -0.707507 --0.470316 1.07622 0.0629533 1.49631 --0.470316 1.07622 -0.562268 -1.11654 -0.337534 1.01496 -1.31361 -0.491762 -0.337534 1.01496 0.959303 -0.200926 -0.337534 1.01496 0.354303 0.692688 --1.39468 0.798013 -1.37561 1.60047 --1.39468 0.798013 1.57085 -1.27932 --1.16471 -1.52836 0.466521 2.47326 --0.666765 -0.567611 -0.42581 -1.09013 --0.666765 -0.567611 0.858063 0.450422 --0.487512 0.0207916 0.836013 -0.0167459 --0.487512 0.0207916 -0.41317 0.647722 --0.487512 0.0207916 -0.422843 -0.630976 -1.02509 -1.53124 -2.55347 -0.121296 -1.02509 -1.53124 2.44446 0.391295 --1.32606 -0.246784 -1.2448 -0.624831 -0.532142 0.975161 -1.38867 -0.2556 -0.532142 0.975161 1.14415 -0.354095 -0.532142 0.975161 0.244526 0.609694 --1.6581 0.801729 -1.87009 1.68481 --1.6581 0.801729 2.05076 -1.45685 --0.846339 1.93144 0.435343 3.1029 --0.846339 1.93144 -0.588418 -2.93858 -0.449908 -0.114834 0.447798 0.6787 -0.449908 -0.114834 0.289989 -0.716536 -0.449908 -0.114834 -0.737787 0.0378354 -0.699318 1.50325 -2.23169 -0.400934 -0.699318 1.50325 2.00539 0.115807 -0.699318 1.50325 0.226295 0.285126 --0.962094 1.94422 0.247022 3.26355 --0.962094 1.94422 -0.376711 -3.09513 -1.21017 -1.4505 2.49662 0.798823 -1.21017 -1.4505 -2.54674 -0.52628 -0.622504 0.418363 0.158721 0.780836 --0.827168 -0.171022 1.12442 0.171278 --0.827168 -0.171022 -0.605554 -0.744985 --1.34904 -0.730853 -1.31328 -1.47087 --1.34904 -0.730853 1.54008 1.13295 --1.73102 1.15805 -1.86694 2.43037 --1.73102 1.15805 1.95566 -2.2184 -0.451476 -1.61496 -2.15741 0.879133 -0.451476 -1.61496 1.84702 -0.686528 --1.968 0.0117278 2.8818 -0.0233869 --1.968 0.0117278 -2.62131 0.026591 --1.92806 -1.05708 -2.32964 -2.3165 --1.92806 -1.05708 2.4407 2.14293 -0.352854 -0.688343 -1.02093 0.293781 -0.352854 -0.688343 0.827813 0.453173 --0.348392 -0.0699306 0.724989 0.0573717 --0.348392 -0.0699306 -0.331243 -0.624957 -0.293869 1.95003 -2.45967 -1.51084 -0.293869 1.95003 2.21175 1.4356 -0.293869 1.95003 0.247921 0.0752452 --1.84215 -1.82659 -1.62363 -3.92261 --1.84215 -1.82659 1.62503 3.7739 --1.78975 -1.00472 -2.06149 -2.14416 --1.78975 -1.00472 2.18493 1.94301 --1.78975 -1.00472 -0.123439 0.201144 -1.23987 1.85146 -3.35127 0.241083 -1.23987 1.85146 3.27518 -0.426899 --0.0310466 -0.093104 -0.372253 0.27273 --0.0310466 -0.093104 -0.0489474 -0.459134 --0.0310466 -0.093104 0.4212 0.186404 --0.608015 -1.19868 0.011888 -1.75419 --0.608015 -1.19868 -0.382747 1.35699 -1.03289 -0.532288 0.983627 1.16668 -1.03289 -0.532288 -0.848302 -0.346956 -1.03289 -0.532288 -0.135324 -0.819725 -1.03885 -0.202868 0.572521 1.22834 -1.03885 -0.202868 0.109459 -1.12768 -1.0775 -1.31686 2.13935 0.703014 -1.0775 -1.31686 -2.20681 -0.372202 -0.051222 -0.685304 -0.85599 0.513366 --1.89167 -0.802376 2.51395 1.58823 --1.89167 -0.802376 -2.35067 -1.75782 -0.278196 0.329045 0.583191 -0.511222 -0.278196 0.329045 -0.747838 -0.189808 -1.44624 1.12491 -2.04775 1.20087 -0.648796 1.01808 -1.50058 -0.134658 -0.648796 1.01808 1.30123 -0.41686 -0.648796 1.01808 0.199351 0.551518 --1.19787 -1.72068 -0.420341 -3.11312 --1.19787 -1.72068 0.340425 2.89888 --1.19787 -1.72068 0.0799164 0.214239 -1.12304 1.65621 -2.86605 0.195681 -1.12304 1.65621 2.77514 -0.426515 -0.81268 -1.7206 -2.69249 0.420153 -0.81268 -1.7206 2.51939 -0.204862 -0.81268 -1.7206 0.173102 -0.215291 -0.317063 -1.41605 -1.75215 0.854395 -0.317063 -1.41605 1.27994 -0.633792 -1.03161 0.477458 0.913176 -1.18142 -1.03161 0.477458 -0.114633 0.88716 -1.03161 0.477458 -0.798543 0.294261 -0.589451 -1.28592 -1.82166 0.38338 -0.589451 -1.28592 1.53144 0.0190412 -0.589451 -1.28592 0.29022 -0.402421 -1.94992 0.583287 1.32025 -2.69773 -1.94992 0.583287 -1.11706 2.56604 --1.70785 1.20639 -1.79334 2.51597 --1.70785 1.20639 1.87073 -2.30131 -1.3811 -0.667197 1.302 1.62761 -1.3811 -0.667197 -1.02226 -1.27463 --0.331737 -1.70726 -1.24943 1.97067 --0.331737 -1.70726 0.949275 -2.09338 --0.452529 1.99484 -1.38476 -2.5886 --0.452529 1.99484 1.17058 2.69106 -0.463343 1.30583 1.35751 0.178302 --1.59855 -1.52025 -1.36391 -3.07643 --1.59855 -1.52025 1.37492 2.87077 --1.36617 -0.126657 1.80969 0.192555 --1.36617 -0.126657 -0.552488 0.165464 -0.169501 1.02863 -1.20179 -0.66392 -0.169501 1.02863 0.406553 0.839141 -0.169501 1.02863 0.795235 -0.175221 --0.296021 1.81724 -1.43065 -2.10436 --0.296021 1.81724 1.15486 2.19838 --1.05 -0.4218 1.29335 0.511927 --1.05 -0.4218 -0.874907 -0.972138 --1.05 -0.4218 -0.418441 0.460211 -1.06232 -1.56472 -2.64465 -0.161202 -1.06232 -1.56472 2.54395 0.419094 -0.575401 -0.645881 0.911101 0.629596 -0.575401 -0.645881 -1.06122 0.088347 -0.617439 -0.0929616 0.452192 0.812158 -0.617439 -0.0929616 0.314146 -0.818266 -0.971075 -1.80863 -3.00547 0.228527 -0.971075 -1.80863 2.87586 -0.030339 --0.245466 -1.35972 -1.04051 1.37345 --0.245466 -1.35972 0.592165 -1.55222 --0.245466 -1.35972 0.448344 0.178763 -1.89764 -0.371279 0.883881 2.63077 -1.89764 -0.371279 -0.635779 -2.53258 --1.77744 1.65738 -1.62672 3.50164 --1.77744 1.65738 1.63885 -3.33258 -0.898995 -0.822377 1.28339 0.858708 -0.898995 -0.822377 -1.30608 -0.267287 -0.898995 -0.822377 0.0226844 -0.591421 --1.97534 1.72154 -2.00802 3.80209 --1.97534 1.72154 2.02809 -3.65778 -0.920238 0.109577 0.470082 -1.09048 -0.920238 0.109577 0.250888 1.05134 -0.503647 0.453747 0.72707 -0.648784 --1.51487 -0.507671 1.94312 0.848561 --1.51487 -0.507671 -1.64401 -1.08673 --0.603536 -1.34722 0.156792 -1.93818 --0.603536 -1.34722 -0.475128 1.62089 -1.5559 -1.60942 3.12648 1.30098 -1.5559 -1.60942 -3.13363 -1.10211 -1.5559 -1.60942 0.00715822 -0.198875 -1.48733 1.37462 2.60825 -1.37503 -1.48733 1.37462 -2.59063 1.13273 --1.52423 -1.71879 -1.04986 -3.41397 --1.52423 -1.71879 1.02735 3.22529 -1.729 -0.442655 0.999542 2.2946 -1.729 -0.442655 -0.720987 -2.14817 --0.59729 1.9953 0.936953 2.89179 --0.59729 1.9953 -1.12888 -2.76628 -1.92205 1.2171 2.61161 -2.35657 -1.92205 1.2171 -2.52922 2.18133 --0.964864 1.2981 -0.401779 2.18921 --0.964864 1.2981 0.283764 -1.8107 -1.90559 1.98383 4.26448 -1.68356 -1.90559 1.98383 -4.26986 1.5516 -1.90559 1.98383 0.00537772 0.131957 --1.54802 -0.556517 -0.274358 0.235087 -0.528137 0.774312 -1.16984 -0.170882 -0.528137 0.774312 0.986249 -0.516992 --1.46276 0.977662 -1.43316 1.94988 --1.46276 0.977662 1.55981 -1.65652 -0.380358 0.485951 -0.882034 -0.192632 -0.380358 0.485951 0.713334 -0.548183 -0.380358 0.485951 0.1687 0.740815 -0.902376 1.45261 -2.31851 -0.0297655 -0.902376 1.45261 2.17418 -0.274262 -0.902376 1.45261 0.14433 0.304027 --1.29669 1.43096 -0.855422 2.67272 --1.29669 1.43096 0.830044 -2.40327 --1.4602 0.724021 -1.51281 1.48412 --1.4602 0.724021 1.73455 -1.19391 -1.85358 -1.86356 3.94475 1.6865 -1.85358 -1.86356 -3.94565 -1.54188 --0.606931 1.01904 -0.130854 1.54083 --0.606931 1.01904 -0.356316 -1.04843 --1.51861 0.790692 -1.60401 1.62274 --1.51861 0.790692 1.79671 -1.35008 --1.28531 -0.700598 -1.21172 -1.4056 --1.28531 -0.700598 1.45719 1.03964 --1.28531 -0.700598 -0.245465 0.365961 -1.22914 0.776185 -0.182363 0.460858 --1.7267 0.366845 2.37007 -0.671716 --1.7267 0.366845 -2.07905 0.807808 --0.816122 0.971403 -0.417245 1.62012 --0.816122 0.971403 0.476307 -0.829486 --0.816122 0.971403 -0.0590614 -0.790637 --1.71163 0.594832 2.25981 -1.09174 --1.71163 0.594832 -2.02546 1.28107 --0.508008 1.28698 0.216226 1.76714 --0.508008 1.28698 -0.599293 -1.45575 --1.2322 1.02417 -1.00698 1.92396 --1.2322 1.02417 1.09248 -1.54321 --1.2322 1.02417 -0.0854959 -0.380754 --0.325084 -1.92284 -1.51083 2.30987 --0.325084 -1.92284 1.26488 -2.39644 --1.4048 -1.27899 -0.0288935 0.276877 --0.702974 0.890185 -0.324733 1.45433 --0.702974 0.890185 -0.278985 -0.833763 --0.702974 0.890185 0.603718 -0.620563 --0.389579 1.8365 -1.30136 -2.24482 --0.389579 1.8365 1.04524 2.35899 --0.169251 -0.763325 0.67674 0.324966 --0.0910461 1.81665 -1.74251 -1.85505 --0.0910461 1.81665 1.4439 1.88925 --0.0910461 1.81665 0.298605 -0.0341963 -0.308296 -0.216235 0.502252 0.550341 -0.125058 0.922199 -1.07649 -0.619712 -0.125058 0.922199 0.307704 0.872992 -0.125058 0.922199 0.768782 -0.25328 -0.530354 -0.752346 -1.14891 0.160939 -0.530354 -0.752346 0.970873 0.532977 --0.697516 -0.356331 -0.499961 -0.899154 --0.697516 -0.356331 0.965509 0.310197 --0.697516 -0.356331 -0.465548 0.588957 --1.4393 1.43894 -1.11397 2.79655 --1.4393 1.43894 1.11525 -2.55395 -1.30384 1.40206 2.4988 -1.01208 -1.30384 1.40206 -2.51978 0.742552 --1.82079 0.459276 2.5201 -0.874919 --1.82079 0.459276 -2.27261 1.01207 --0.648763 1.40453 0.153746 2.06025 --0.648763 1.40453 -0.435672 -1.75772 --1.49744 -1.33542 -1.29867 -2.64046 --1.49744 -1.33542 1.32884 2.3932 -0.830503 -1.86803 -2.96598 0.541677 -0.830503 -1.86803 2.80665 -0.362743 -1.31967 1.67687 -3.07674 0.559472 -1.31967 1.67687 3.02541 -0.771901 --0.349562 0.940891 0.0684407 1.27044 --0.349562 0.940891 -0.667513 -0.917564 -0.710697 1.32474 -1.96862 -0.238154 -0.710697 1.32474 1.74754 -0.133639 -0.487495 -0.670596 -1.05885 0.173256 --0.404219 -1.13292 0.181185 -1.4958 --0.404219 -1.13292 -0.674368 1.16951 -0.634596 -1.21151 1.49902 0.177417 -1.83254 -1.39628 2.92403 2.0451 -1.83254 -1.39628 -2.87453 -1.86323 -1.83254 -1.39628 -0.0494981 -0.181867 -1.45069 -1.03687 1.96339 1.55736 -1.45069 -1.03687 -1.86602 -1.25642 --0.855809 0.486528 -0.641091 1.04617 --0.855809 0.486528 1.05058 -0.487342 --0.855809 0.486528 -0.409486 -0.558825 -0.267464 0.890404 -1.14785 -0.476541 -0.267464 0.890404 0.861065 -0.293975 -0.267464 0.890404 0.286787 0.770515 -1.86995 1.97952 4.21873 -1.60783 -1.86995 1.97952 -4.22646 1.47329 --1.68289 1.33102 -1.66749 2.75375 --1.68289 1.33102 1.71853 -2.54265 --1.12464 -0.83409 -0.917801 -1.57289 --1.12464 -0.83409 1.0968 1.11505 -0.191698 1.16697 0.578507 0.795435 -0.208279 -0.195073 0.472149 0.471613 -0.208279 -0.195073 -0.642727 0.152785 -0.208279 -0.195073 0.170578 -0.624398 --0.289196 1.17612 0.335419 1.42334 --0.289196 1.17612 -0.84856 -1.16381 -0.357771 1.36576 -1.72905 -0.75493 -0.357771 1.36576 1.25002 0.461922 -0.357771 1.36576 0.479027 0.293009 --0.335414 -0.471823 -0.176491 -0.892963 --0.335414 -0.471823 -0.551058 0.588974 --0.335414 -0.471823 0.727548 0.303989 --1.98161 -0.0292225 2.90876 0.058541 --1.98161 -0.0292225 -2.65211 -0.0663422 --1.42252 1.47955 -1.05103 2.86088 --1.42252 1.47955 1.04262 -2.62241 -1.13383 1.97906 -3.49487 -0.0966587 -1.13383 1.97906 3.39825 -0.0691803 -0.759215 -1.53828 -2.34016 0.337201 -0.759215 -1.53828 2.14016 -0.0636487 --1.05983 0.851399 -0.813874 1.57421 --1.05983 0.851399 0.981388 -1.07433 -0.562652 -0.719693 -1.12725 0.119098 -0.562652 -0.719693 0.964886 0.578591 -0.562652 -0.719693 0.162362 -0.697689 --1.25977 -1.33661 -0.860596 -2.4764 --1.25977 -1.33661 0.845321 2.17676 --1.81448 -0.795177 2.36117 1.53254 --1.81448 -0.795177 -2.19021 -1.71875 --1.81448 -0.795177 -0.170962 0.186205 --1.14771 1.80139 0.153303 -3.01142 --0.413083 -0.790971 -0.0877154 -1.18426 --0.413083 -0.790971 -0.573314 0.791239 --0.413083 -0.790971 0.66103 0.393022 --0.32192 -0.583989 -0.120986 -0.971273 --0.32192 -0.583989 -0.589716 0.63472 --0.32192 -0.583989 0.710702 0.336553 --0.618583 -1.02718 -0.138303 -1.55861 --0.618583 -1.02718 -0.337091 1.0599 -0.559366 -0.610702 0.874272 0.633409 -0.559366 -0.610702 -1.02682 0.0946848 -0.559366 -0.610702 0.152544 -0.728094 -1.08782 -1.4543 -2.46325 -0.294893 -1.08782 -1.4543 2.37972 0.581807 --1.9929 -0.00602808 -2.67785 -0.0137015 --0.0403417 1.60402 -1.55892 -1.49698 --0.0403417 1.60402 1.17545 1.52956 --1.2108 -1.13452 -0.910449 -2.09656 -0.597428 1.28762 -1.83008 -0.373634 -0.597428 1.28762 1.54503 -0.0271239 --0.881673 0.979674 -0.499594 1.66929 --0.881673 0.979674 0.528372 -1.00235 --0.881673 0.979674 -0.0287784 -0.666941 -1.01815 -1.85159 -3.132 0.185135 -1.01815 -1.85159 3.0132 0.00419089 -0.0706384 -1.38473 -1.45471 1.10494 -0.0706384 -1.38473 0.929234 -1.10585 -0.0706384 -1.38473 0.525474 0.000908824 --0.338276 1.85524 -1.40754 -2.21538 --0.338276 1.85524 1.14765 2.31442 -0.365715 1.77114 -2.28598 -1.17937 -0.365715 1.77114 2.00033 1.05699 -1.09371 -1.89346 -3.28783 0.0852284 -1.09371 -1.89346 3.18421 0.0959272 -1.09371 -1.89346 0.103628 -0.181156 -1.7958 -1.10961 2.31318 2.16415 -1.7958 -1.10961 -2.21311 -1.96228 -0.82835 -0.0155441 0.384738 0.991852 -0.82835 -0.0155441 0.356563 -0.988164 -0.82835 -0.0155441 -0.741301 -0.00368751 -0.848567 -1.37338 -2.14631 0.0587637 -0.848567 -1.37338 1.98644 0.280228 --0.542045 -1.58255 0.497139 -2.18961 --0.542045 -1.58255 -0.777437 1.97947 --1.87836 1.97835 -1.565 4.29237 --1.87836 1.97835 1.5581 -4.15808 --1.87836 1.97835 0.00689998 -0.134292 --1.35135 1.38866 -0.98713 2.63714 --1.35135 1.38866 0.981553 -2.36883 --1.35135 1.38866 0.00557713 -0.268309 --1.06749 1.89134 -0.00366956 3.28858 --1.06749 1.89134 -0.106831 -3.10717 -1.34165 -0.951342 1.74895 1.42345 -1.34165 -0.951342 -1.63601 -1.06759 --0.0850228 1.25175 -1.15028 -1.1032 --0.0850228 1.25175 0.597337 1.24377 --1.02411 1.56543 -0.264071 2.67248 --1.02411 1.56543 0.146336 -2.40896 --1.29865 1.03232 -1.1155 1.97106 --1.29865 1.03232 1.20735 -1.62041 -1.10604 -1.35382 2.22821 0.714126 -1.10604 -1.35382 -2.29271 -0.399638 --1.86661 1.47734 -1.95352 3.18322 --1.86661 1.47734 1.99444 -3.01158 --1.9682 -1.11856 -2.38706 -2.46858 --1.9682 -1.11856 2.48687 2.30158 --0.94492 -1.72106 0.0265001 -2.85541 --0.94492 -1.72106 -0.168013 2.63704 -0.495478 -0.570912 0.814905 0.600548 -0.495478 -0.570912 -0.978844 0.136987 -0.495478 -0.570912 0.163939 -0.737535 --1.1593 -1.1465 0.83239 1.70103 --1.1593 -1.1465 -0.0145689 0.384118 -1.8711 -0.121687 0.385403 2.58376 -1.8711 -0.121687 -0.106218 -2.54874 --1.34157 0.715359 -1.30388 1.44247 --1.34157 0.715359 1.53825 -1.10217 --1.34157 0.715359 -0.234375 -0.340294 -0.533692 0.532164 0.799801 -0.645759 -0.533692 0.532164 -0.958434 -0.0984934 -0.533692 0.532164 0.158633 0.744252 --1.57572 -0.459374 2.06807 0.789346 --1.57572 -0.459374 -1.76472 -0.99423 --1.077 1.58054 -0.339799 2.74807 --1.077 1.58054 0.237412 -2.49182 --0.932282 1.65279 -0.0240221 2.72753 --0.932282 1.65279 -0.122781 -2.49024 -0.79013 1.78514 -2.77967 -0.524111 -0.79013 1.78514 2.6047 0.327915 -1.73451 1.82473 3.74415 -1.4654 -1.73451 1.82473 -3.75227 1.30804 -0.330948 -1.29892 -1.62291 0.725769 -0.330948 -1.29892 1.05348 -0.358644 -0.330948 -1.29892 0.569425 -0.367125 -0.823947 -0.196045 0.55868 0.990989 -0.823947 -0.196045 0.209772 -0.943986 --0.303183 0.486705 -0.147067 0.891717 --0.303183 0.486705 -0.568146 -0.584394 --0.303183 0.486705 0.715213 -0.307323 -0.591698 -1.17014 1.39511 0.181292 -0.974742 1.66896 -2.7567 -0.0879949 -0.974742 1.66896 2.62778 -0.144985 --0.285831 -0.39388 -0.168433 -0.817948 --0.285831 -0.39388 -0.539989 0.546126 --0.285831 -0.39388 0.708422 0.271822 --1.7833 1.29407 -1.89707 2.74052 --1.7833 1.29407 1.9616 -2.54518 --1.74752 0.80222 2.2242 -1.50956 --1.74752 0.80222 -2.04989 1.71285 -0.101563 0.777528 -0.95023 -0.536941 -0.101563 0.777528 0.744789 -0.323598 -0.224661 -0.642275 0.172327 -0.780148 --1.18516 1.21773 -0.815017 2.21992 --1.18516 1.21773 0.811504 -1.86695 --0.520531 1.37777 0.294936 1.89191 --0.520531 1.37777 -0.640072 -1.61428 --0.791968 -0.701784 -0.331927 0.648974 -0.939881 0.556814 0.981849 -1.04258 -0.939881 0.556814 -0.941247 0.26315 -0.939881 0.556814 -0.0406017 0.779433 --0.719669 1.90554 0.617951 2.90279 --0.719669 1.90554 -0.798948 -2.74509 --0.719669 1.90554 0.180998 -0.157698 -1.97806 0.628899 1.42088 -2.7432 -1.97806 0.628899 -1.23008 2.60969 --1.71165 -0.704679 2.20719 1.30062 --1.71165 -0.704679 -2.00343 -1.50468 --1.71165 -0.704679 -0.203762 0.204054 -1.35018 -1.69055 3.08349 0.816397 -1.35018 -1.69055 -3.13052 -0.60898 -1.35018 -1.69055 0.0470296 -0.207417 --1.71393 0.717974 2.20466 -1.32733 --1.71393 0.717974 -2.00483 1.53218 -0.943802 0.916901 1.43438 -0.850873 -0.943802 0.916901 -1.45881 0.323409 -0.943802 0.916901 0.0244308 0.527463 --0.903394 0.226263 1.19237 -0.24195 --0.903394 0.226263 -0.679709 0.777362 -0.853125 1.47065 -2.30945 -0.126505 -0.853125 1.47065 2.14579 -0.173177 -0.853125 1.47065 0.16366 0.299683 -1.79473 -0.948834 1.99299 2.25059 -1.79473 -0.948834 -1.85579 -2.04842 -1.79473 -0.948834 -0.137197 -0.202161 --1.07177 1.42918 -0.465999 2.48728 --1.07177 1.42918 0.375481 -2.18149 -0.289998 1.48917 -1.81602 -0.96376 -0.289998 1.48917 1.38531 0.797621 -1.62686 0.937485 1.88515 -1.9344 -1.62686 0.937485 -1.74297 1.68543 --1.40293 1.86411 -0.670434 3.58966 --1.40293 1.86411 0.619353 -3.41269 --1.73413 -1.00083 -1.94925 -2.11206 --1.73413 -1.00083 2.07402 1.89797 --1.73413 -1.00083 -0.124769 0.214091 --0.670213 -1.28536 0.0101524 -1.9205 --0.670213 -1.28536 -0.3118 1.55077 --0.670213 -1.28536 0.301647 0.369728 -1.12486 -0.595505 1.09969 1.2677 -1.12486 -0.595505 -0.828016 -0.558705 -1.12486 -0.595505 -0.271673 -0.708991 --1.62236 -1.16376 -1.64601 -2.38322 --1.62236 -1.16376 1.72791 2.14688 --0.648541 1.99267 0.848546 2.95591 --0.648541 1.99267 -1.03225 -2.82308 --0.648541 1.99267 0.183701 -0.132831 -0.555782 0.727917 -1.13323 -0.12821 -0.555782 0.727917 0.967421 -0.568108 --1.68903 0.252463 2.32823 -0.453746 --1.68903 0.252463 -1.99892 0.562253 --1.68903 0.252463 -0.329308 -0.108507 -1.06107 1.82899 -3.13279 -0.0822424 -1.06107 1.82899 3.02294 -0.111881 -1.5331 0.548857 1.15092 -1.91948 -1.5331 0.548857 -0.846215 1.68177 -1.6498 1.88504 3.78762 -1.224 -1.6498 1.88504 -3.80878 1.0663 --0.294458 1.37853 -0.988226 -1.44028 --0.294458 1.37853 0.563152 1.63371 -1.14464 1.06646 -1.78462 0.629329 --1.31168 0.324022 1.68602 -0.478083 --1.31168 0.324022 -1.24798 0.769122 -1.93914 0.501805 1.15256 -2.69407 -1.93914 0.501805 -0.933376 2.57466 --1.93505 1.68432 -1.94803 3.68672 --1.93505 1.68432 1.96918 -3.5362 --0.538286 1.43842 0.337679 1.98934 --0.538286 1.43842 -0.657039 -1.73021 --1.084 0.413596 1.339 -0.516841 --1.084 0.413596 -0.919103 0.957846 --0.438674 -1.96773 -1.37525 2.52476 --0.438674 -1.96773 1.15415 -2.62857 -1.37881 1.2173 2.23194 -1.30259 -1.37881 1.2173 -2.19924 1.01034 --0.653148 1.76372 0.549746 2.59207 --0.653148 1.76372 -0.764335 -2.41126 --1.75481 -0.391886 2.41532 0.726308 --1.75481 -0.391886 -2.13764 -0.862468 -0.45895 1.2765 1.31198 0.13139 --1.18139 0.458895 1.44661 -0.620976 --1.18139 0.458895 -1.06311 1.01282 --1.3027 1.71056 -0.625234 3.19498 --1.3027 1.71056 0.567302 -2.98552 --1.3027 1.71056 0.0579322 -0.209463 -1.55168 1.35263 2.61889 -1.51577 -1.55168 1.35263 -2.58816 1.28226 --1.73646 1.45302 -1.69528 3.04037 --1.73646 1.45302 1.73031 -2.84838 --1.93442 1.83535 -1.82068 4.02293 --1.93442 1.83535 1.8282 -3.88241 --1.57504 0.831043 -1.699 1.71639 --1.57504 0.831043 1.87514 -1.46106 --1.57504 0.831043 -0.176148 -0.25533 -1.07217 -0.95649 1.58092 1.00007 -1.07217 -0.95649 -1.5566 -0.533972 -1.6742 1.62355 3.26391 -1.52849 -1.6742 1.62355 -3.25865 1.34501 -1.70015 0.452478 1.01313 -2.23918 -1.70015 0.452478 -0.728698 2.08332 --1.34097 -0.373863 1.71373 0.562947 --1.34097 -0.373863 -1.31203 -0.849919 --1.34097 -0.373863 -0.401708 0.286971 -1.74999 -1.99011 4.11846 1.33106 -1.74999 -1.99011 -4.1367 -1.18999 --1.72262 0.491177 2.32243 -0.901562 --1.72262 0.491177 -2.06192 1.06882 -1.71995 0.0622154 0.283999 -2.28344 -1.71995 0.0622154 0.0459616 2.26121 -0.637062 1.90413 -2.81198 -0.91246 -0.637062 1.90413 2.61346 0.761322 --1.48819 -1.73425 -0.963746 -3.41253 --1.48819 -1.73425 0.934733 3.22268 -1.13967 1.20654 2.01746 -0.905534 -1.13967 1.20654 -2.0427 0.551723 --1.1375 -1.69749 0.241159 2.78933 -1.54594 -0.190503 0.533371 1.97923 -1.54594 -0.190503 -0.142484 -1.89358 -1.83174 -1.57886 3.30801 1.89765 -1.83174 -1.57886 -3.28314 -1.72857 --0.0442964 -0.473406 -0.67598 0.455247 -1.39741 1.47854 2.72546 -1.11429 -1.39741 1.47854 -2.7399 0.874485 --1.24255 -0.496503 1.51494 0.704104 --1.24255 -0.496503 -1.16067 -1.06796 --1.97655 -1.82317 1.93731 3.89401 --1.80369 1.91142 -1.46235 4.07387 --1.80369 1.91142 1.45404 -3.92918 -0.62104 0.933727 -1.38221 -0.130637 -0.62104 0.933727 1.19264 -0.470212 -0.62104 0.933727 0.189568 0.600849 -0.854035 1.78721 -2.84901 -0.415818 -0.854035 1.78721 2.69056 0.216182 -0.854035 1.78721 0.15845 0.199636 --0.770574 -1.18242 -0.211358 -1.86819 --0.770574 -1.18242 -0.0450205 1.39571 --1.15804 -1.40486 -0.631722 -2.5172 --1.15804 -1.40486 0.5738 2.2163 --1.25785 1.35492 -0.84377 2.50727 --1.25785 1.35492 0.823931 -2.21185 -0.162043 1.74194 -1.99338 -1.42667 -0.162043 1.74194 1.66749 1.37118 --1.20908 0.458685 -1.10555 1.01018 -1.51317 -0.778612 1.54349 1.8055 -1.51317 -0.778612 -1.33908 -1.5163 -1.51317 -0.778612 -0.204413 -0.289202 -1.48766 -0.991938 1.90647 1.65054 -1.48766 -0.991938 -1.78944 -1.35733 -1.30191 0.473192 0.973075 -1.56054 -1.30191 0.473192 -0.510627 1.24551 -1.30191 0.473192 -0.462448 0.315032 -1.57312 0.274245 0.679059 -2.02761 -1.57312 0.274245 -0.311656 1.90895 -1.72838 -1.71277 3.5 1.55957 -1.72838 -1.71277 -3.49871 -1.39091 --1.4476 -1.62064 -0.983904 -3.15275 --1.4476 -1.62064 0.960355 2.94142 -1.7886 -0.369996 0.86958 2.41737 -1.7886 -0.369996 -0.593457 -2.30272 -1.7886 -0.369996 -0.276123 -0.114651 --1.07737 1.99179 0.107347 -0.163047 -0.952752 0.330307 0.717444 -1.11645 -0.952752 0.330307 0.049843 0.971902 -0.952752 0.330307 -0.767287 0.144547 -1.72952 0.713993 1.5108 -2.2254 -1.72952 0.713993 -1.30491 2.02259 -0.460699 1.42708 -1.90501 -0.678729 -0.460699 1.42708 1.53828 0.389051 --0.0728123 -0.384635 -0.610182 0.431867 --0.0728123 -0.384635 -0.021585 -0.743198 --0.0728123 -0.384635 0.631767 0.311331 --1.94965 -0.565511 2.73861 1.13072 --1.94965 -0.565511 -2.53502 -1.2615 --1.20936 0.348983 1.53042 -0.480418 --1.20936 0.348983 -1.08674 0.840233 --1.20936 0.348983 -0.443679 -0.359814 -1.90788 -1.96091 4.21511 1.71172 -1.90788 -1.96091 -4.21885 -1.57826 -1.90788 -1.96091 0.0037331 -0.133456 -1.44246 -0.807579 1.56146 1.67034 -1.44246 -0.807579 -1.3693 -1.34662 -0.0602638 -1.96151 1.89407 -1.85096 -1.23689 -1.79826 -3.24325 -0.285959 -1.23689 -1.79826 3.16883 0.481418 --0.394744 -0.744473 -0.0987966 -1.1341 --0.394744 -0.744473 -0.580369 0.751777 --0.394744 -0.744473 0.679166 0.382327 --1.27036 -0.298089 1.63311 0.427671 --1.27036 -0.298089 -1.16822 -0.738538 --1.27036 -0.298089 -0.464894 0.310867 -1.51878 0.582222 1.2047 -1.88581 -1.51878 0.582222 -0.909963 1.63192 -1.43444 -0.669274 1.32507 1.71468 -1.43444 -0.669274 -1.05556 -1.39601 -0.965009 -0.916472 1.44906 0.879263 -0.965009 -0.916472 -1.4625 -0.357952 -0.965009 -0.916472 0.0134347 -0.521311 -1.86686 -1.6367 3.46196 1.92354 -1.86686 -1.6367 -3.44101 -1.76275 --0.670373 1.63629 -0.602442 -2.19811 --1.10098 -0.970901 -0.822716 -1.77299 --1.10098 -0.970901 0.913527 1.31211 --1.68388 1.46756 -1.57639 3.0329 --1.68388 1.46756 1.60449 -2.83423 --1.68388 1.46756 -0.0281033 -0.198667 --0.937727 -1.00373 0.581354 1.15111 --1.81066 0.429248 2.51012 -0.813882 --1.81066 0.429248 -2.25405 0.946671 --1.81066 0.429248 -0.256068 -0.132789 -0.697261 -0.789134 1.11301 0.655805 -0.697261 -0.789134 -1.23479 -0.00699939 --1.86932 -0.505608 2.59922 0.98175 --1.86932 -0.505608 -2.37083 -1.11791 --1.75095 1.19122 -1.88978 2.50902 --1.75095 1.19122 1.97235 -2.30255 --1.69744 -1.2251 -1.76156 -2.54796 --1.69744 -1.2251 1.83445 2.33219 --1.54195 0.234026 2.07487 -0.392689 --1.54195 0.234026 -1.68058 0.533968 -1.51883 1.7044 3.28159 -1.13527 -1.51883 1.7044 -3.30376 0.94524 --0.90686 -1.13274 0.324795 1.39051 --0.90686 -1.13274 0.113246 0.508867 -1.36432 -1.88678 -3.54289 -0.458153 -1.36432 -1.88678 3.48539 0.63293 -1.36432 -1.88678 0.0574961 -0.174776 -0.381583 1.01111 0.332695 0.664795 --1.90044 -1.27774 -2.15467 -2.77594 --1.90044 -1.27774 2.22696 2.59983 --1.09695 1.24493 -0.650794 2.20421 -1.09315 1.48773 -2.52847 0.279234 -1.09315 1.48773 2.44288 -0.555978 --1.35504 0.56096 -1.34853 1.17729 --0.819284 -1.04719 0.168739 1.02549 --0.819284 -1.04719 0.205417 0.696389 --1.41713 -0.20558 1.8767 0.322445 --1.41713 -0.20558 -1.40789 -0.504307 --1.41713 -0.20558 -0.46881 0.181862 --0.188294 -1.30641 -1.07139 1.25589 --0.188294 -1.30641 0.581028 -1.42634 -1.15464 1.14028 1.92369 -0.985365 -1.15464 1.14028 -1.92731 0.614211 -1.15464 1.14028 0.00362224 0.371154 -1.13373 -0.651141 -0.946817 -0.637279 -1.6476 -1.29495 2.5809 1.74643 -1.6476 -1.29495 -2.52833 -1.52482 --1.37168 1.07553 -1.22159 2.08395 --1.37168 1.07553 1.30636 -1.76666 --0.788426 0.703695 -0.511292 1.27694 --0.788426 0.703695 0.843765 -0.625282 -1.99301 -0.163128 0.464711 2.83364 -1.99301 -0.163128 -0.219397 -2.79425 -0.390557 -0.953349 -1.28469 0.397595 -0.390557 -0.953349 0.989347 0.285296 -0.341928 1.29838 1.08444 0.336998 -1.57897 0.855921 1.71126 -1.88736 -1.57897 0.855921 -1.54087 1.62234 -1.38299 -1.85469 -3.49476 -0.52721 -1.38299 -1.85469 3.44171 0.705816 --1.4811 1.95786 -0.733254 3.8576 --1.4811 1.95786 0.68798 -3.69766 --1.32878 -1.46916 -0.883919 -2.76772 --1.32878 -1.46916 0.859148 2.51211 --1.32878 -1.46916 0.0247702 0.255605 -1.70375 -0.511521 1.12347 2.23465 -1.70375 -0.511521 -0.854871 -2.06366 --1.3513 -0.0853869 -1.19002 -0.270846 -0.458942 -1.69002 -2.27455 0.949648 -0.458942 -1.69002 1.98867 -0.779638 -0.43011 1.45411 -1.91237 -0.745552 -0.43011 1.45411 1.53512 0.484144 --1.40128 -1.04357 -0.0992759 0.310304 --0.0612926 -1.8694 -1.85325 1.89442 --0.0612926 -1.8694 1.56917 -1.91649 -0.547318 1.63978 0.269036 0.208471 -1.13061 -0.786307 1.37161 1.18996 -1.13061 -0.786307 -1.24095 -0.667913 -0.561071 1.20758 -1.695 -0.363906 -0.561071 1.20758 1.39512 -0.0962503 -0.561071 1.20758 0.299871 0.460157 --0.901318 1.48566 -0.139471 2.4263 --0.901318 1.48566 -0.0206249 -2.13155 --1.35318 1.22845 -1.10038 2.3473 --1.35318 1.22845 1.13351 -2.04795 -0.101875 -0.766445 -0.942524 0.529576 -0.101875 -0.766445 0.199373 -0.857554 -1.31637 0.582287 1.14481 -1.55382 -1.31637 0.582287 -0.776668 1.17186 --1.69627 -1.28371 -1.72435 -2.66611 --1.69627 -1.28371 1.78538 2.45394 --1.97581 0.80822 2.68559 -1.64374 --1.97581 0.80822 -2.53006 1.79716 --1.71877 -1.22853 -1.80291 -2.56722 --1.71877 -1.22853 1.87634 2.35602 --1.91346 -0.608998 2.64833 1.20482 --1.91346 -0.608998 -2.4477 -1.3488 --0.759232 1.66776 0.271652 2.56577 --0.759232 1.66776 -0.469828 -2.34453 --0.759232 1.66776 0.198176 -0.221241 -0.340214 -0.0868137 -0.686953 0.04605 --0.285088 1.21345 0.379462 1.45385 --0.285088 1.21345 -0.87781 -1.20897 --0.645065 -0.497696 -0.424865 -1.01679 --0.645065 -0.497696 0.877114 0.395566 -0.524315 1.0949 -1.52682 -0.334681 -0.524315 1.0949 1.23367 -0.21214 -0.524315 1.0949 0.293144 0.546821 -0.19722 -0.921489 -1.12808 0.559009 -0.19722 -0.921489 0.311966 -0.816969 -0.19722 -0.921489 0.816116 0.25796 --0.834497 -0.938032 0.565103 0.850972 --0.623544 1.2094 0.00206844 1.78108 --0.623544 1.2094 -0.359071 -1.38312 --0.623544 1.2094 0.357002 -0.397961 -0.33176 -0.976063 -1.27044 0.471393 -0.33176 -0.976063 0.941142 0.239436 -1.09953 -1.68529 -2.89973 -0.125748 -1.09953 -1.68529 2.80183 0.35091 --0.902569 0.8621 -0.588597 1.52181 --0.902569 0.8621 0.760383 -0.892375 --0.935152 -0.745753 -0.678514 -1.38059 --0.935152 -0.745753 0.935029 0.80496 --0.935152 -0.745753 -0.256515 0.575635 -1.57351 1.7275 3.38235 -1.22352 -1.57351 1.7275 -3.39957 1.04162 -1.62563 1.22451 2.42801 -1.75473 -1.62563 1.22451 -2.36288 1.52195 -1.62563 1.22451 -0.0651275 0.232778 -1.60306 -0.105668 0.378896 2.07289 -1.60306 -0.105668 -0.0057037 -2.02873 -1.60306 -0.105668 -0.373192 -0.0441591 -1.48576 -1.15902 2.20627 1.53834 -1.48576 -1.15902 -2.14094 -1.26424 -1.89872 -0.466331 -0.840623 -2.50026 --0.0230542 -1.28212 -1.24754 1.08252 --0.0230542 -1.28212 0.686401 -1.17843 -1.83397 -0.563119 -1.02408 -2.32028 --0.76225 1.61625 0.210201 2.48879 --0.76225 1.61625 -0.413139 -2.25098 -0.0078698 -1.51964 -1.52626 1.33368 -0.0078698 -1.51964 1.09579 -1.35184 -0.345349 1.06674 -1.37314 -0.520081 -0.345349 1.06674 0.983685 -0.142193 -0.345349 1.06674 0.389457 0.662274 --0.979665 0.75901 -0.733824 1.41345 --0.979665 0.75901 0.972538 -0.865457 --0.979665 0.75901 -0.238714 -0.547992 --0.667077 1.88906 0.683572 2.80931 --0.667077 1.88906 -0.877285 -2.65474 --1.18686 1.45507 -0.640755 2.62753 --1.18686 1.45507 0.583322 -2.34615 --0.365238 1.98949 -1.52709 -2.47056 --0.365238 1.98949 1.30034 2.55725 --1.53916 1.60765 -1.17532 3.20416 --1.53916 1.60765 1.16696 -3.00185 -0.469903 1.95794 -2.69821 -1.24897 -0.469903 1.95794 2.47683 1.13605 --1.23955 -1.54819 -0.655561 -2.83763 --1.23955 -1.54819 0.599505 2.58743 -1.84699 1.28865 2.71084 -2.15275 -1.84699 1.28865 -2.64325 1.96723 -1.60398 0.503848 -0.789484 1.85663 --1.81608 -1.77932 -1.60794 -3.79657 --1.81608 -1.77932 1.61128 3.64176 -1.1526 -0.663163 1.20566 1.28022 -1.1526 -0.663163 -0.964729 -0.689967 -1.1526 -0.663163 -0.240933 -0.590255 --0.361171 -1.39484 0.507454 -1.73307 --0.361171 -1.39484 -0.904611 1.51851 --1.81863 -0.0452685 2.59092 0.0855625 --1.81863 -0.0452685 -2.28446 -0.101702 --0.898981 1.3155 -0.287212 2.16223 --0.898981 1.3155 0.130381 -1.78557 -0.62194 0.017384 0.393154 -0.820281 -0.62194 0.017384 0.36714 0.821319 --1.63521 0.851086 -1.80933 1.77492 --1.63521 0.851086 1.97662 -1.53749 -1.86918 -1.88943 4.01715 1.69583 -1.86918 -1.88943 -4.01878 -1.55439 -0.982413 -1.46865 -2.40855 -0.0954102 -0.982413 -1.46865 2.2909 0.388136 -1.68134 0.36172 0.843019 -2.21657 -1.68134 0.36172 -0.532828 2.08478 -1.68134 0.36172 -0.310191 0.131786 -1.65428 -1.9496 0.0249125 -0.150708 --1.87041 1.29447 -2.08049 2.79393 --1.87041 1.29447 2.14898 -2.61351 --0.206406 -1.77139 -1.51588 1.92778 --0.206406 -1.77139 1.21453 -2.00257 --0.618449 1.49813 0.294051 2.15807 --0.618449 1.49813 -0.567471 -1.90139 -0.641704 1.5465 -2.24596 -0.529133 -0.641704 1.5465 1.9986 0.267775 --0.648989 -1.88411 0.706603 -2.77823 --0.648989 -1.88411 -0.904668 2.6251 --0.648989 -1.88411 0.198065 0.153129 -1.63678 1.37484 2.72983 -1.66399 -1.63678 1.37484 -2.69312 1.44844 -1.23269 1.8057 0.0755253 0.194284 -1.43164 -0.449646 0.961677 1.77027 -1.43164 -0.449646 -0.573845 -1.53152 --0.858313 0.861665 -0.530681 1.50045 --0.858313 0.861665 0.71685 -0.827987 --0.858313 0.861665 -0.186169 -0.672463 --1.14 1.98886 -0.0286622 3.55103 --1.14 1.98886 -0.0680849 -3.38686 --1.14 1.98886 0.0967471 -0.164177 --0.427557 -1.78093 0.91304 -2.32898 --0.427557 -1.78093 -1.17512 2.1958 --1.40944 -1.51142 0.985352 2.6762 --1.1013 -1.53943 -0.419471 -2.69975 --1.1013 -1.53943 0.32718 2.43306 --1.18592 0.901795 -0.987504 1.70269 --1.18592 0.901795 1.12955 -1.28338 --1.42024 1.45035 -1.0692 2.80378 --1.42024 1.45035 1.06524 -2.55983 --1.02065 1.93719 0.133346 3.31896 --1.02065 1.93719 -0.252094 -3.14723 --1.02065 1.93719 0.118749 -0.171726 --1.11585 -0.896864 -0.879575 -1.66571 --1.11585 -0.896864 1.01923 1.2048 --1.11585 -0.896864 -0.139657 0.460903 -1.24225 -0.815436 1.47444 1.34116 -1.24225 -0.815436 -1.31427 -0.901677 -1.28148 1.47354 2.60721 -0.904545 -1.28148 1.47354 -2.64395 0.647188 -1.28148 1.47354 0.0367382 0.257357 --1.88024 -1.85718 -1.6806 -4.02391 --1.88024 -1.85718 1.68248 3.88064 --1.88024 -1.85718 -0.00188549 0.143271 --1.89542 -0.244669 2.71812 0.476628 --1.89542 -0.244669 -2.45217 -0.548927 -1.83481 0.273361 0.685649 -2.51393 -1.83481 0.273361 -0.408692 2.43285 -1.83481 0.273361 -0.276956 0.0810818 -0.275068 1.96066 2.20327 1.48363 -1.38196 -1.98505 -3.76341 -0.397417 -1.38196 -1.98505 3.70433 0.557481 -0.0939773 0.952029 -1.07668 -0.667471 -0.0939773 0.952029 0.327568 0.903843 -0.0939773 0.952029 0.749116 -0.236372 --0.869165 -0.637667 -0.627659 -1.22408 --0.869165 -0.637667 0.965998 0.637668 --1.98058 1.99626 -1.77972 4.42935 --1.98058 1.99626 1.77879 -4.30283 -0.531866 -0.458613 0.739772 0.669865 -1.88915 0.0698645 0.279925 -2.6159 -1.88915 0.0698645 -0.00384918 2.59623 --1.30411 -0.938817 -1.16787 -1.81318 --1.30411 -0.938817 1.30045 1.45518 -1.61893 -0.76708 1.56742 1.99941 -1.61893 -0.76708 -1.36637 -1.75415 -1.61893 -0.76708 -0.201044 -0.245263 -0.440606 1.36555 -1.80493 -0.649133 -0.440606 1.36555 1.40451 0.318231 -0.440606 1.36555 0.400417 0.330902 -1.60541 -1.82447 3.61467 1.19251 -1.60541 -1.82447 -3.63628 -1.02489 --1.38592 1.45207 -1.00331 2.78073 --1.38592 1.45207 0.992821 -2.53122 --1.38592 1.45207 0.0104934 -0.249513 -1.76299 1.08153 2.23776 -2.11552 -1.76299 1.08153 -2.1322 1.90572 --1.43159 -1.42855 -1.10712 -2.77107 --1.43159 -1.42855 1.10894 2.52535 -1.43449 0.22651 0.59801 -1.79307 -1.43449 0.22651 -0.15685 1.67638 --1.80481 1.86995 1.49783 -3.83601 -0.864758 0.667579 1.07969 -0.906401 -0.864758 0.667579 -1.09602 0.212455 -1.82286 0.718838 1.55296 -2.40367 --1.49021 -1.1835 -1.38005 -2.34716 --1.49021 -1.1835 1.44552 2.07903 --0.27656 -0.904308 0.0997931 -1.18544 --0.27656 -0.904308 -0.726507 0.85474 --0.181883 1.3648 -1.12947 -1.32562 -1.93767 1.6703 3.59627 -2.0488 -1.93767 1.6703 -3.57396 1.89769 --0.788047 0.332521 1.05047 -0.316777 --0.788047 0.332521 -0.582771 0.884802 --0.485495 1.52309 0.504207 2.04118 --0.485495 1.52309 -0.817884 -1.82698 --1.13362 1.30475 0.622304 -1.9901 --0.539596 1.74059 0.694476 2.41573 --0.539596 1.74059 -0.940883 -2.24929 --0.539596 1.74059 0.246407 -0.166439 -0.35738 1.60459 1.69443 0.837874 --0.441244 0.943799 -0.0122958 1.34157 --0.441244 0.943799 -0.569242 -0.9438 --0.81029 -1.52618 0.0416985 -2.40032 --0.81029 -1.52618 -0.236171 2.12566 -0.290455 1.80524 -2.24316 -1.32958 -0.290455 1.80524 1.95464 1.23646 -0.290455 1.80524 0.288519 0.093116 --1.92471 0.59855 2.67529 -1.1882 --1.92471 0.59855 -2.47422 1.3285 --1.92471 0.59855 -0.201076 -0.140305 -1.06315 -1.10277 1.79014 0.874184 -1.06315 -1.10277 -1.81567 -0.464723 -1.6896 1.3285 2.67851 -1.80442 -1.6896 1.3285 -2.62843 1.59379 -0.208327 1.87545 1.9607 1.47737 --1.28969 0.637627 -1.22986 1.30151 --1.28969 0.637627 1.50586 -0.943384 --0.313774 -1.97842 -1.59885 2.38716 --0.313774 -1.97842 1.36373 -2.46455 -1.4598 1.35702 2.55218 -1.33785 -1.4598 1.35702 -2.5356 1.08771 -1.85143 -1.00759 2.13942 2.33348 -1.85143 -1.00759 -2.01694 -2.14327 -1.85143 -1.00759 -0.122485 -0.190207 -0.331619 -1.10578 -1.4047 0.563709 -0.331619 -1.10578 0.974528 0.0864525 --1.75073 0.137078 2.45796 -0.252382 --1.75073 0.137078 -2.13273 0.307301 --0.197238 -1.711 -1.45964 1.8265 --0.197238 -1.711 1.13767 -1.9066 --0.650511 -0.898921 -0.259535 -1.43375 --1.61171 -1.87018 -1.08988 -3.8051 --1.61171 -1.87018 1.0657 3.64255 -1.34073 1.87439 -3.49477 0.421813 -1.34073 1.87439 3.43429 -0.599593 -1.34073 1.87439 0.0604865 0.177779 -1.31115 -1.79667 -3.30938 -0.435347 -1.31115 -1.79667 3.24815 0.627242 -0.19929 -0.333337 -0.711613 0.235891 -0.19929 -0.333337 0.577706 0.455452 -0.19929 -0.333337 0.133907 -0.691343 -1.86873 0.173678 0.489162 -2.58138 -1.86873 0.173678 -0.212431 2.5315 --0.851976 1.97625 0.480317 3.1877 --0.851976 1.97625 -0.629043 -3.03159 --0.913185 1.46252 -0.179798 2.40098 --0.913185 1.46252 0.024622 -2.09676 -0.283238 1.2232 -1.49327 -0.712914 -0.283238 1.2232 0.872874 0.114606 -0.283238 1.2232 0.620391 0.598308 -0.142506 -1.70533 -1.92033 1.40559 -0.142506 -1.70533 1.57835 -1.35528 --1.00764 1.01304 -0.659557 1.78773 --1.00764 1.01304 0.696621 -1.27203 --1.00764 1.01304 -0.0370645 -0.515701 -1.41264 -0.00987721 0.248766 1.72917 -1.41264 -0.00987721 0.216576 -1.72409 -1.41264 -0.00987721 -0.465342 -0.00508586 -0.391534 -1.75697 2.01161 -0.9918 --1.37167 -1.57419 -0.87769 -2.99895 -0.921379 -1.15746 -1.84069 -0.196297 -0.921379 -1.15746 1.74394 0.617327 -1.45097 0.682734 1.35373 -1.73744 -1.45097 0.682734 -1.0947 1.42617 -1.13262 0.279564 0.672788 -1.34556 -1.13262 0.279564 -0.0374715 1.18105 -1.13262 0.279564 -0.635317 0.164511 --1.35371 1.84128 -0.596323 3.49563 --1.35371 1.84128 0.53889 -3.31239 --1.84578 -0.386727 2.59017 0.742056 --1.84578 -0.386727 -2.3337 -0.858079 --1.84578 -0.386727 -0.256473 0.116023 --1.21376 1.08114 -0.946107 2.0091 --0.0106693 1.42131 -1.39808 -1.23259 -0.841388 -0.956739 1.40638 0.690082 -0.841388 -0.956739 -1.49345 -0.155477 --0.554091 0.200147 0.881879 -0.161396 --0.554091 0.200147 -0.413565 0.759645 -0.417522 1.82172 -2.42291 -1.16321 -0.417522 1.82172 2.16185 1.03688 -0.814835 -0.804461 1.20738 0.770771 -0.814835 -0.804461 -1.2732 -0.150771 -1.7421 0.802621 1.68455 -2.21527 -1.7421 0.802621 -1.50576 2.00669 --0.512655 0.444894 -0.324254 0.933065 --0.512655 0.444894 0.814711 -0.320108 -1.01088 -0.00567611 0.345083 1.17482 -1.01088 -0.00567611 0.332453 -1.17228 -1.01088 -0.00567611 -0.677536 -0.00253664 -0.356059 -0.224454 0.516571 0.586377 -0.356059 -0.224454 -0.733929 0.106584 -0.356059 -0.224454 0.217358 -0.692961 -0.993211 1.44819 -2.38095 0.130077 -0.993211 1.44819 2.26864 -0.428624 --1.51614 1.58262 -1.15019 3.13551 --1.51614 1.58262 1.14175 -2.92681 -0.972716 -1.54544 -2.53558 -0.016509 -0.972716 -1.54544 2.40988 0.285336 -0.972716 -1.54544 0.125706 -0.268827 --1.872 -0.411933 -2.38833 -0.915365 -1.09771 0.427817 -0.163231 0.994536 --0.938745 1.20879 0.315696 -1.59577 -1.44508 0.0849378 0.365155 -1.79755 -1.44508 0.0849378 -0.447175 0.0426103 --1.92082 1.04649 -2.31896 2.29044 --1.92082 1.04649 2.43209 -2.11568 -0.467487 1.88483 -2.58 -1.16272 -0.467487 1.88483 2.34343 1.03728 --1.7373 -0.736813 2.23993 1.37603 --1.7373 -0.736813 -2.04757 -1.57644 -0.863631 -1.93592 -3.12267 0.556696 -0.863631 -1.93592 2.97471 -0.390178 -1.93044 0.621146 1.39192 -2.64829 -1.93044 0.621146 -1.19274 2.5071 --0.254907 1.63114 -1.28571 -1.77099 --0.254907 1.63114 0.946392 1.88433 --0.254907 1.63114 0.339323 -0.113345 -1.12293 -1.46798 -2.51479 -0.349178 -1.12293 -1.46798 2.43966 0.628201 --0.690347 0.168818 0.997218 -0.15041 --0.690347 0.168818 -0.507145 0.752669 --0.260154 -1.91635 0.255264 0.0721408 -0.0594588 0.488744 -0.736919 -0.400232 -0.0594588 0.488744 0.0796819 0.772953 -0.0594588 0.488744 0.657237 -0.372721 -1.41299 -0.157641 0.487658 1.75441 -1.41299 -0.157641 -0.0281055 -1.67229 -1.41299 -0.157641 -0.459552 -0.0821138 -1.34854 1.55226 2.81788 -0.952485 -1.34854 1.55226 -2.85116 0.719771 --0.563548 1.339 0.200096 1.88745 --0.563548 1.339 -0.539593 -1.579 --1.17845 1.51103 -0.57877 2.71854 -1.61652 1.15508 2.28864 -1.78498 -1.61652 1.15508 -2.20819 1.544 --1.77186 -0.193488 2.49018 0.359532 --1.77186 -0.193488 -2.17983 -0.432335 --1.13538 0.830705 -0.935492 1.57158 --1.13538 0.830705 1.11658 -1.12022 --1.13538 0.830705 -0.181092 -0.451352 --1.8962 1.36941 -2.08942 2.97057 --1.8962 1.36941 2.14727 -2.79734 --1.65626 1.10858 -1.74217 2.2919 --1.65626 1.10858 1.83922 -2.06083 --1.65626 1.10858 -0.0970558 -0.231075 --1.78845 -0.799713 2.30666 1.52741 --1.78845 -0.799713 -2.13477 -1.72021 -1.59475 -0.604528 1.26561 2.01271 -1.59475 -0.604528 -0.999531 -1.78416 -0.53565 0.671548 0.911261 -0.584123 -0.53565 0.671548 -1.0744 -0.130746 --1.88391 0.882119 2.45433 -1.74823 --1.88391 0.882119 -2.30729 1.92476 --1.69455 1.92333 -1.21451 3.99663 --1.69455 1.92333 1.19539 -3.84545 --1.69455 1.92333 0.0191261 -0.151184 --1.25724 -0.251268 -0.500834 0.309054 -1.03753 1.61119 -2.70832 0.0766931 -1.03753 1.61119 2.59817 -0.32336 --0.608834 -1.29917 0.103044 -1.88114 --0.608834 -1.29917 -0.433998 1.53841 --0.608834 -1.29917 0.330954 0.342727 --0.871346 1.41462 -0.158953 2.28831 --0.871346 1.41462 -0.0148005 -1.96276 -0.0319361 -0.0180182 0.212743 0.255236 -0.0319361 -0.0180182 0.114612 -0.311795 -0.0319361 -0.0180182 -0.327356 0.0565592 -1.863 -0.297928 0.735322 2.56816 -1.863 -0.297928 -0.468961 -2.48375 --1.106 0.58974 -0.949471 1.20455 --1.106 0.58974 1.27122 -0.755163 --1.84449 0.425362 2.57661 -0.816631 --1.84449 0.425362 -2.32725 0.941658 -1.55311 -0.470957 1.02017 1.97149 -1.55311 -0.470957 -0.693348 -1.76803 -1.55311 -0.470957 -0.326823 -0.203458 --1.41188 -1.21907 -1.21301 -2.3668 --1.41188 -1.21907 1.25859 2.08215 --1.41188 -1.21907 -0.0455735 0.284655 -1.54361 0.22088 0.586074 -1.9763 -1.54361 0.22088 -0.197787 1.87667 -0.0846399 1.06758 0.722725 -0.163647 --1.57971 -1.1073 -1.59262 -2.2503 --1.57971 -1.1073 1.68611 1.99963 -0.867643 1.68013 -2.67649 -0.286676 -0.867643 1.68013 2.51755 0.0574208 --1.02061 1.36154 -0.438542 2.3341 --1.02061 1.36154 0.337257 -1.99473 --0.773719 -0.316765 1.04207 0.298269 --0.773719 -0.316765 -0.570186 -0.870144 --0.773719 -0.316765 -0.471886 0.571875 --0.544361 -1.21544 0.103816 -1.71703 --0.544361 -1.21544 -0.500282 1.35771 --0.544361 -1.21544 0.396466 0.359318 --0.504425 -1.11834 0.0624226 -1.57048 --0.504425 -1.11834 -0.525706 1.18763 -1.7398 -1.84135 3.78504 1.46039 -1.7398 -1.84135 -3.79398 -1.30502 --0.372468 -1.75736 -1.23942 2.09571 --0.372468 -1.75736 0.960838 -2.2199 -0.770266 -1.82971 -2.83494 0.605061 -0.770266 -1.82971 2.65855 -0.42171 --0.73834 0.810621 -0.407742 1.38015 --0.73834 0.810621 0.707347 -0.639364 --0.73834 0.810621 -0.299605 -0.740784 -0.40285 -1.98575 2.43087 -1.295 -1.09099 0.97594 1.6227 -1.01375 -1.09099 0.97594 -1.59737 0.562731 -1.09099 0.97594 -0.0253343 0.451023 -1.99162 1.62929 3.55149 -2.20266 -1.99162 1.62929 -3.52177 2.0546 --0.224629 -1.38272 -1.08838 1.38684 --0.224629 -1.38272 0.643617 -1.54952 -0.0952772 1.1793 -1.27518 -0.865202 -0.0952772 1.1793 0.591887 0.945978 --0.624175 1.63382 0.438896 2.35998 --0.624175 1.63382 -0.683136 -2.14829 --1.37282 0.982562 -1.26851 1.91919 --1.37282 0.982562 1.38798 -1.59307 --1.37282 0.982562 -0.11947 -0.326117 --1.56714 -0.437002 -1.74795 -0.949483 -1.75013 -1.03657 2.1418 2.11611 -1.75013 -1.03657 -2.02583 -1.90246 -1.47756 -0.41994 -0.544485 -1.64393 -0.234376 0.0650469 0.361074 -0.517803 -0.234376 0.0650469 0.254844 0.568979 -1.00153 -0.65956 1.13488 1.07688 -1.00153 -0.65956 -1.04335 -0.396194 --1.95445 0.574108 2.74517 -1.15003 --1.95445 0.574108 -2.54386 1.28122 --1.21846 1.3926 -0.746001 2.54363 --1.21846 1.3926 0.708029 -2.25015 -1.47744 -1.41291 2.67251 1.32388 -1.47744 -1.41291 -2.66314 -1.08573 --1.44159 -0.211529 -1.46157 -0.508467 -0.105336 -1.87576 -2.09866 1.68136 -0.105336 -1.87576 1.81555 -1.65274 -1.41705 -0.97626 1.83674 1.53616 -1.41705 -0.97626 -1.7219 -1.21508 --1.14733 1.37311 -0.63862 2.45459 --1.14733 1.37311 0.583054 -2.14163 --1.14733 1.37311 0.0555658 -0.312957 --0.183302 -1.64157 -1.40234 1.70904 --0.183302 -1.64157 1.05379 -1.79492 -0.951076 -1.94605 -3.23666 0.408497 -0.951076 -1.94605 3.10649 -0.239783 -1.47867 1.80754 3.44915 -0.949162 -1.47867 1.80754 -3.48543 0.769912 -0.130481 0.17526 -0.578107 -0.180359 -0.130481 0.17526 0.451375 -0.402573 -0.130481 0.17526 0.126732 0.582932 --1.7807 0.514662 2.42368 -0.96747 --1.7807 0.514662 -2.1807 1.12481 -0.282563 -1.70543 -2.09346 1.21846 -0.282563 -1.70543 1.76905 -1.11148 -0.282563 -1.70543 0.32441 -0.10698 --1.14771 0.0471395 -0.805554 0.475916 -0.088357 -1.76182 -1.92322 1.5496 -0.088357 -1.76182 1.6011 -1.52312 -0.088357 -1.76182 0.322118 -0.0264782 -1.71508 0.757399 1.58763 -2.18195 --0.336448 0.511703 -0.161955 0.923152 --1.2831 0.222326 -1.15456 0.602671 --1.2831 0.222326 -0.51597 -0.281508 --1.51536 -1.21886 -1.40703 -2.429 --1.51536 -1.21886 1.46617 2.17126 -0.456263 1.7955 2.16996 0.931965 --0.81916 -0.661635 -0.56133 -1.23824 --0.81916 -0.661635 0.903151 0.618869 -1.96064 0.217133 0.576121 -2.76726 -1.96064 0.217133 -0.32658 2.71282 -1.96064 0.217133 -0.249541 0.0544337 --1.32252 1.74897 -0.626388 3.2868 --1.32252 1.74897 0.569343 -3.0859 --0.695283 1.88055 0.62679 2.83102 --0.695283 1.88055 -0.815775 -2.67108 -0.728681 -0.953999 -1.45108 0.00185797 -0.728681 -0.953999 1.30832 0.561414 --1.56367 -1.75861 -1.09406 -3.53007 --1.56367 -1.75861 1.07305 3.35029 --1.56367 -1.75861 0.0210011 0.179778 -0.386976 -1.57437 -2.03176 0.926439 -0.386976 -1.57437 1.68284 -0.741758 -0.676547 0.918772 -1.386 -0.0562702 -0.676547 0.918772 1.22652 -0.537002 -0.676547 0.918772 0.159481 0.593272 --0.832053 1.24402 -0.247681 2.00269 --0.832053 1.24402 0.0494499 -1.57621 --0.832053 1.24402 0.198231 -0.426486 --0.509054 0.21666 0.846531 -0.170156 --0.509054 0.21666 -0.380531 0.761351 --0.509054 0.21666 -0.466 -0.591196 -1.72594 1.17278 2.39515 -1.98566 -1.72594 1.17278 -2.31141 1.77109 -1.72594 1.17278 -0.0837308 0.21457 -1.02959 -0.848273 1.40012 1.01217 -1.02959 -0.848273 -1.3559 -0.476755 -1.28317 -1.05297 1.87922 1.26014 -1.28317 -1.05297 -1.81868 -0.904031 -0.0659656 1.55824 -1.64258 -1.31549 -0.0659656 1.55824 1.22836 1.29895 -0.0659656 1.55824 0.414221 0.0165344 --1.54456 -0.189024 2.08725 0.317316 --1.54456 -0.189024 -1.67936 -0.435976 --1.54456 -0.189024 -0.407894 0.11866 -0.149813 1.85041 -2.1243 -1.58565 -0.149813 1.85041 1.83544 1.54198 -1.03901 -1.92787 -3.29657 0.224828 -1.03901 -1.92787 3.18276 -0.0504616 --1.20186 0.560332 1.4216 -0.774175 --1.20186 0.560332 -1.09569 1.16833 -0.259914 1.65649 1.65145 1.08417 --1.4073 -0.170431 1.86723 0.265642 --1.4073 -0.170431 -1.3726 -0.433105 -1.41609 -0.889222 1.68706 1.58422 -1.41609 -0.889222 -1.53571 -1.25252 -1.41609 -0.889222 -0.151346 -0.331699 --1.24908 1.74063 -0.495674 3.20008 --1.24908 1.74063 0.425244 -2.99286 --1.24908 1.74063 0.0704296 -0.207221 --1.86243 -0.844208 2.43148 1.65816 --1.86243 -0.844208 -2.27505 -1.83702 -1.62368 1.96948 3.93995 -1.07962 -1.62368 1.96948 -3.9692 0.92917 -0.125022 -1.37813 -1.50782 1.03916 -0.125022 -1.37813 0.965253 -0.998668 --0.449287 -1.462 0.479448 -1.91891 --0.449287 -1.462 -0.823561 1.69559 --0.449287 -1.462 0.344114 0.223322 -1.78123 -0.778819 1.65446 2.30029 -1.78123 -0.778819 -1.4726 -2.10467 -1.2192 1.91329 -3.45349 0.139091 -1.2192 1.91329 3.372 -0.314946 --1.31311 -1.99797 -0.353092 -3.76098 --1.31311 -1.99797 0.283348 3.6002 --1.29005 -0.0675414 1.70195 0.0978379 --1.29005 -0.0675414 -1.02168 -0.30414 --1.29005 -0.0675414 -0.680272 0.206302 --0.899071 0.00535432 1.21186 -0.00573213 -0.678099 1.30958 -1.92198 -0.275136 -0.678099 1.30958 1.68425 -0.107015 -1.03446 1.63853 -2.75541 0.0472166 -1.03446 1.63853 2.64326 -0.286722 --1.86478 -0.638034 2.5384 1.24272 --1.86478 -0.638034 -2.33708 -1.40076 --1.97525 -1.20025 -2.36026 -2.65019 --1.97525 -1.20025 2.4466 2.48456 --1.96251 0.785595 2.66913 -1.5897 --1.96251 0.785595 -2.50828 1.74378 -0.175298 1.74474 0.323708 0.060344 -1.45569 0.860023 1.65778 -1.66733 -1.45569 0.860023 -1.49028 1.35158 -1.45569 0.860023 -0.167498 0.31575 -1.60611 -1.94254 3.86383 1.07105 -1.60611 -1.94254 -3.8934 -0.916692 -1.98824 1.21746 2.6541 -2.49631 -1.98824 1.21746 -2.57057 2.33195 -1.98824 1.21746 -0.0835221 0.164353 -1.27731 0.398015 0.855202 -1.53738 -1.27731 0.398015 -0.342214 1.27868 -1.27731 0.398015 -0.512988 0.258698 -1.89678 -0.0501217 0.239234 2.62932 -1.89678 -0.0501217 0.0351778 -2.61535 -1.90525 -1.33429 -2.78401 -2.06867 -1.97763 -0.192907 0.526434 2.80222 -1.97763 -0.192907 -0.279255 -2.75481 -1.20192 -1.07011 1.84847 1.1156 -1.20192 -1.07011 -1.81618 -0.736662 -1.16735 -1.4069 2.37838 0.766488 -1.16735 -1.4069 -2.43336 -0.476608 --1.26104 0.182908 1.64647 -0.260186 --1.26104 0.182908 -1.09073 0.548593 --1.26104 0.182908 -0.555736 -0.288406 -1.86317 1.3831 2.91927 -2.11899 -1.86317 1.3831 -2.86596 1.94096 -0.527783 -1.11835 -1.55798 0.345549 -0.527783 -1.11835 1.25892 0.184958 -0.527783 -1.11835 0.299064 -0.530507 -0.827482 0.733714 0.0467233 0.657308 --0.538316 -1.05579 -0.460737 1.1022 --1.987 1.32208 -2.31647 2.92383 --1.987 1.32208 2.3845 -2.76224 --1.987 1.32208 -0.0680278 -0.161598 -0.347676 -1.07509 -1.38373 0.523651 -0.347676 -1.07509 0.989064 0.132102 -0.347676 -1.07509 0.394665 -0.655753 --1.46224 1.13292 -1.35609 2.23675 --1.46224 1.13292 1.43271 -1.95525 --1.24956 0.379737 1.5761 -0.538428 --1.24956 0.379737 -1.15789 0.879055 --1.24956 0.379737 -0.418207 -0.340627 --0.589821 1.20122 -0.416165 -1.35385 -1.29085 -1.69417 -3.08624 -0.487046 -1.29085 -1.69417 3.02818 0.698579 --0.365091 -1.60732 -1.09218 1.84817 --0.365091 -1.60732 0.76947 -2.00282 --0.365091 -1.60732 0.322708 0.154653 -1.99299 -0.447358 1.05108 2.81372 -1.99299 -0.447358 -0.833765 -2.71276 --1.11498 -1.65389 -0.336091 -2.91213 --1.11498 -1.65389 0.240152 2.67796 --1.96847 1.42894 -2.20814 3.14718 --1.96847 1.42894 2.26077 -2.98668 --0.657504 -1.73482 0.508003 -2.5524 --0.657504 -1.73482 -0.725883 2.36357 -1.28842 1.94078 -3.57817 0.250152 -1.28842 1.94078 3.50705 -0.419713 -1.08984 -0.672798 1.19209 1.18826 -1.08984 -0.672798 -1.02042 -0.556479 --0.463038 1.86794 0.977794 2.50755 --0.463038 1.86794 -1.21435 -2.38298 -1.31294 0.975705 1.77151 -1.36081 -1.31294 0.975705 -1.6747 0.997864 --1.87813 1.78257 -1.74103 3.857 --1.87813 1.78257 1.74897 -3.70796 --1.87813 1.78257 -0.00794446 -0.149041 --1.77938 0.929439 -2.07107 1.98466 --1.77938 0.929439 2.21213 -1.78272 -1.67053 0.624144 1.32351 -2.14446 -1.67053 0.624144 -1.08039 1.93803 --1.64556 0.581971 2.14255 -1.03828 --1.64556 0.581971 -1.89366 1.24491 --0.451499 -0.683493 -0.533254 0.71629 --0.451499 -0.683493 0.712286 0.395387 --1.21277 -0.113283 1.58881 0.155748 --1.21277 -0.113283 -0.952049 -0.481379 --1.21277 -0.113283 -0.636761 0.325631 -0.979695 -1.13202 1.76137 0.725076 -0.979695 -1.13202 -1.82764 -0.306151 --1.53364 1.52093 1.23657 -2.81262 --1.53364 1.52093 -0.0025144 -0.215005 --0.91882 1.29496 0.190559 -1.76075 --1.54727 1.173 -1.4947 2.35963 --1.54727 1.173 1.56859 -2.10539 -0.209984 -1.84932 -2.20267 1.50028 -0.209984 -1.84932 1.91814 -1.43766 --0.780057 -0.645208 -0.521541 -1.20716 --0.780057 -0.645208 0.885404 0.575432 --0.780057 -0.645208 -0.363863 0.631724 -1.39949 0.531745 1.08823 -1.70001 -1.39949 0.531745 -0.723779 1.40391 -1.83229 -1.14259 2.4018 2.21778 -1.83229 -1.14259 -2.30773 -2.02425 -1.30206 0.733877 1.37636 -1.47401 -1.30206 0.733877 -1.14502 1.05892 -1.92036 -0.667711 1.4831 2.61438 -1.92036 -0.667711 -1.29167 -2.46454 -1.89861 -1.51256 3.22119 2.09487 -1.89861 -1.51256 -3.1836 -1.92938 --0.0413699 -0.00697166 0.346999 0.0193576 --0.0413699 -0.00697166 -0.190211 0.290721 --0.0413699 -0.00697166 -0.156788 -0.310078 -1.36544 -0.385579 -0.449999 -0.224184 --1.96363 -0.0797037 2.87099 0.158733 --1.96363 -0.0797037 -2.61074 -0.180573 -1.44871 0.0480717 0.303519 -1.79693 -1.44871 0.0480717 0.143012 1.77294 -0.671152 -1.22436 -1.79414 0.224781 -0.671152 -1.22436 1.56151 0.206741 --0.322961 -0.738777 -0.632086 0.731361 -0.0744775 -1.32079 -1.39249 1.03034 -0.0744775 -1.32079 0.818305 -1.04773 -0.0744775 -1.32079 0.574189 0.0173943 -1.10675 -0.839604 1.43482 1.12566 -1.10675 -0.839604 -1.3454 -0.619161 -1.10675 -0.839604 -0.0894192 -0.506501 -1.16511 0.708851 -1.07019 0.734633 --1.16615 0.297647 1.48813 -0.396405 --1.16615 0.297647 -1.00569 0.77748 --1.16615 0.297647 -0.482445 -0.381075 --1.38569 1.04868 -1.26025 2.04305 --1.38569 1.04868 1.35616 -1.72771 --1.56071 -1.99039 -0.864791 -4.00629 --1.56071 -1.99039 0.82744 3.85427 --0.00300818 -0.269409 -0.56292 0.333902 -1.52274 -0.298507 0.719301 1.93954 -1.52274 -0.298507 -0.333911 -1.8011 -1.54145 1.171 -2.19829 1.37454 -1.54145 1.171 -0.0691426 0.258126 -0.0416601 1.9923 -2.16992 -1.9354 -0.0416601 1.9923 1.91798 1.92687 -0.376756 1.19655 -1.54172 -0.58419 -0.376756 1.19655 1.07929 0.0531904 -0.376756 1.19655 0.462433 0.531 --1.63305 -0.147579 -1.87109 -0.334651 -1.70464 -0.886899 1.82883 2.10618 -1.70464 -0.886899 -1.6723 -1.88173 -1.70464 -0.886899 -0.15653 -0.224454 --1.16312 1.88963 -0.182003 3.39017 --1.16312 1.88963 0.0897627 -3.20865 --1.74364 -0.686494 2.27796 1.28178 --1.74364 -0.686494 -2.07292 -1.47507 --1.95486 -0.724965 2.68244 1.46001 --1.95486 -0.724965 -2.50935 -1.60992 -1.76447 -1.55335 3.19733 1.7774 -1.76447 -1.55335 -3.17483 -1.59801 -0.232843 -1.89896 -2.30369 1.53311 -0.232843 -1.89896 2.03595 -1.46852 -0.124115 -0.595946 0.133762 -0.798997 -0.124115 -0.595946 0.705092 0.384085 --1.68303 -0.556627 2.22283 1.00786 --1.68303 -0.556627 -1.9728 -1.19885 -1.04922 0.0342975 0.369948 -1.22463 -1.04922 0.0342975 0.290258 1.20818 --0.868244 -0.107019 1.17412 0.111402 --0.868244 -0.107019 -0.622271 -0.689073 -1.42559 -1.01068 1.90164 1.52985 -1.42559 -1.01068 -1.79849 -1.21665 -0.360006 -0.598827 -0.953986 0.2499 -0.360006 -0.598827 0.779182 0.496676 --1.51082 0.412142 -1.63593 0.901415 --1.44776 0.303409 1.90332 -0.48533 --1.44776 0.303409 -1.4983 0.694799 --1.19694 -0.400631 -0.414447 0.374938 --0.158937 1.4809 -1.26862 -1.45842 --0.158937 1.4809 0.849617 1.56577 -1.09428 0.779713 1.34269 -1.1418 -1.09428 0.779713 -1.22969 0.59538 --1.58919 0.129815 2.17099 -0.222545 --1.58919 0.129815 -1.7714 0.298366 -1.50485 0.404229 0.897621 -1.89947 -1.50485 0.404229 -0.529695 1.70804 -0.96242 -0.958871 1.50408 0.844606 -0.96242 -0.958871 -1.5316 -0.343619 -1.15248 0.0367593 0.351346 -1.35322 -1.15248 0.0367593 0.255777 1.33341 -1.15248 0.0367593 -0.607123 0.019813 --1.46526 -1.07637 -1.39142 -2.13337 --1.46526 -1.07637 1.48556 1.84734 -1.14705 -0.0132519 0.322044 1.34062 -1.14705 -0.0132519 0.287786 -1.33352 -1.14705 -0.0132519 -0.609829 -0.00710503 --0.790683 0.570915 -0.553975 1.12747 --0.790683 0.570915 0.944756 -0.52465 -1.27589 1.95752 -3.59935 0.20789 -1.27589 1.95752 3.52584 -0.375236 -0.127109 1.87881 -2.13278 -1.65555 -0.127109 1.87881 1.85149 1.62043 --0.563685 0.603312 0.785143 -0.418006 --0.563685 0.603312 -0.470331 -0.670628 --1.10413 1.00591 -0.0697805 -0.451596 -1.54163 1.05608 2.05521 -1.70892 -1.54163 1.05608 -1.95421 1.43915 --1.25506 -0.722557 -1.15703 -1.43525 --1.25506 -0.722557 1.39362 1.05273 -0.57901 1.81741 -2.60431 -0.907759 -0.57901 1.81741 2.37906 0.74587 -0.57901 1.81741 0.225249 0.161888 -0.310602 1.15722 -1.44387 -0.626966 -0.310602 1.15722 0.946658 -0.00492212 -0.310602 1.15722 0.497214 0.631888 --0.0820225 -1.20926 -1.11798 1.05271 --0.0820225 -1.20926 0.54326 -1.20884 --0.0820225 -1.20926 0.574724 0.156127 --0.815906 -1.54682 -0.244716 2.17059 --0.815906 -1.54682 0.190717 0.26726 -1.82535 -1.99529 4.20828 1.49211 -1.82535 -1.99529 -4.22047 -1.35603 --0.710762 -1.29074 -0.0392828 -1.96441 --0.710762 -1.29074 -0.236549 1.58714 --0.432918 -1.9249 -1.33307 2.44451 --0.432918 -1.9249 1.10288 -2.55362 --1.62433 -1.67213 -1.29388 -3.40599 --1.62433 -1.67213 1.28885 3.22167 --1.62433 -1.67213 0.00503255 0.184324 -1.85412 -0.926086 -1.8362 -2.19253 -0.628989 -0.352746 0.676454 0.782037 -0.628989 -0.352746 -0.854123 0.0148207 -0.628989 -0.352746 0.17767 -0.796858 --1.2529 -1.24307 -0.913734 -2.30815 --1.2529 -1.24307 0.921019 1.98307 --1.57007 -0.190438 2.13027 0.323749 -1.44093 1.38782 2.59391 -1.2765 -1.44093 1.38782 -2.58607 1.02796 -0.547188 -1.09007 -1.53522 0.303432 -0.547188 -1.09007 1.2579 0.238491 -0.713042 0.547621 0.88418 -0.799112 -0.713042 0.547621 -0.988228 0.0436149 -1.27009 0.45897 0.944816 -1.51558 -1.27009 0.45897 -0.445743 1.19785 --1.94643 1.81973 -1.86113 3.99828 --1.94643 1.81973 1.87073 -3.85769 -0.817004 -1.53692 -2.38867 0.241838 -0.817004 -1.53692 2.21051 0.0334728 --1.32295 1.82733 -0.550496 3.43781 --1.32295 1.82733 0.488747 -3.25061 --1.89708 0.626035 2.60827 -1.23243 --1.89708 0.626035 -2.40879 1.38206 -1.54902 0.948578 1.86372 -1.78549 -1.54902 0.948578 -1.7272 1.51087 -1.54902 0.948578 -0.136514 0.274622 --1.97383 0.171712 2.88363 -0.343364 --1.97383 0.171712 -2.63119 0.388904 -1.41008 1.52099 -2.83567 0.868287 --0.310724 1.55381 -1.12296 -1.7118 --0.310724 1.55381 0.769222 1.86179 -0.55417 -1.14066 1.31486 0.180652 --0.942965 -1.00232 -0.571851 -1.73578 --0.942965 -1.00232 -0.0215371 0.578661 --1.70831 1.45556 -1.63521 3.02571 --1.70831 1.45556 1.66742 -2.82965 -0.693735 -0.107696 0.469482 0.874676 -0.693735 -0.107696 0.299541 -0.869436 -0.693735 -0.107696 -0.769023 -0.00524042 --0.323762 1.00616 0.143105 1.30556 --0.323762 1.00616 -0.719397 -0.978422 --0.323762 1.00616 0.576292 -0.327137 -1.37531 1.06765 1.96756 -1.40561 -1.37531 1.06765 -1.89232 1.08414 --0.694902 -0.168586 1.00124 0.150759 --0.694902 -0.168586 -0.51023 -0.752578 --1.58984 -0.505772 -1.79059 -1.08714 --1.29194 1.83456 -0.48351 3.42054 --1.29194 1.83456 0.416097 -3.23303 --1.29194 1.83456 0.0674133 -0.18751 -1.45515 1.57321 2.96036 -1.13628 -1.45515 1.57321 -2.97774 0.920138 -1.94029 1.4532 3.12598 -2.23057 -1.94029 1.4532 -3.07842 2.06711 -1.92552 0.238584 0.619194 -2.69546 -1.92552 0.238584 -0.36276 2.63286 -1.1634 0.174506 -0.605792 0.0982651 --1.31524 0.455878 1.64217 -0.677717 --1.31524 0.455878 -1.27866 0.996333 -1.68397 -0.616115 -1.06962 -1.97104 --1.1986 0.754475 -1.05816 1.47249 --1.1986 0.754475 1.2811 -1.05877 --1.1986 0.754475 -0.222938 -0.41372 -0.732048 -1.3229 1.77169 0.166589 -1.71485 0.51367 1.12983 -2.25488 -1.71485 0.51367 -0.864605 2.08624 --0.444649 0.32766 -0.30631 0.822192 --0.444649 0.32766 0.793807 -0.24049 -0.539392 0.88777 -1.29352 -0.204838 -0.539392 0.88777 1.08216 -0.440339 -0.565596 -1.73281 -2.45616 0.835096 -0.565596 -1.73281 2.21188 -0.65304 --1.48028 0.087712 -1.51322 0.216931 --1.29665 -0.00358971 -0.872379 -0.153347 --1.29665 -0.00358971 -0.841301 0.148126 --1.74476 -0.551742 2.34076 1.02423 --1.74476 -0.551742 -2.10041 -1.19738 -0.93369 -1.59108 -2.58227 0.0908817 -0.93369 -1.59108 2.4429 0.165255 --0.655684 -1.11183 -0.269823 1.20907 -0.11808 0.753696 0.196596 0.845764 -0.392535 0.412619 0.665107 -0.576475 -0.392535 0.412619 -0.840362 -0.159415 -0.392535 0.412619 0.175254 0.73589 --1.51163 -1.39635 -1.28384 -2.76765 --1.51163 -1.39635 1.30393 2.53165 --1.51163 -1.39635 -0.0200908 0.236006 --1.17817 -1.11036 -0.870554 -2.03716 --1.17817 -1.11036 0.905702 1.65061 --1.24621 -0.271198 1.60596 0.382483 --1.24621 -0.271198 -1.11719 -0.703989 --0.159388 -1.80655 -1.62886 1.92447 --0.159388 -1.80655 1.33289 -1.98081 -0.0902016 1.22746 -1.31615 -0.917413 -0.0902016 1.22746 0.66612 0.969629 -0.0902016 1.22746 0.650029 -0.0522158 --0.0959313 0.502617 -0.667426 -0.498491 --0.0959313 0.502617 -0.00131778 0.825257 --0.0959313 0.502617 0.668744 -0.326765 --1.83886 1.58722 -1.81345 3.39949 --1.83886 1.58722 1.83854 -3.2318 -0.208826 -1.79213 -2.12139 1.42767 -0.208826 -1.79213 1.8181 -1.35976 -1.72551 0.660578 1.40841 -2.2358 -1.72551 0.660578 -1.18628 2.03966 -1.72551 0.660578 -0.222139 0.196134 -1.95321 0.854639 1.87603 -2.61331 -1.95321 0.854639 -1.7258 2.45112 -1.37889 -1.95048 -3.68858 -0.42574 -1.37889 -1.95048 3.63039 0.590678 -1.66336 0.280284 0.692537 -2.18902 -1.66336 0.280284 -0.361673 2.08252 -1.66336 0.280284 -0.330864 0.106505 --1.51757 -0.304496 -1.63959 -0.685146 -0.741914 -0.522276 0.870224 0.837449 --1.84667 -0.12762 2.63913 0.243901 --1.84667 -0.12762 -2.3468 -0.286477 -0.748333 -1.32978 -2.004 0.184939 -1.8801 -1.02248 2.18483 2.38374 -1.8801 -1.02248 -2.06593 -2.19942 --0.770105 -1.83422 0.446988 -2.84661 --0.770105 -1.83422 -0.624757 2.66809 --1.30335 -0.198979 -1.17708 -0.548451 --1.8578 0.646106 2.52094 -1.25578 --1.8578 0.646106 -2.32046 1.41641 --1.13895 1.70812 -0.325691 3.03227 --1.13895 1.70812 0.233154 -2.8124 -1.40255 -1.34556 2.4829 1.24131 -1.40255 -1.34556 -2.47394 -0.978271 --1.69713 -1.20482 -0.0771317 0.217015 -1.0441 -1.28494 2.05538 0.680107 -1.0441 -1.28494 -2.12859 -0.332774 --1.24512 1.2019 -0.927133 2.23205 --1.24512 1.2019 0.945201 -1.89432 --1.73628 1.80547 -1.41288 3.78293 --1.73628 1.80547 1.40681 -3.62347 --0.856741 0.908717 -0.505126 1.56092 --0.856741 0.908717 0.640014 -0.868118 --0.856741 0.908717 -0.134888 -0.6928 --0.626564 -0.750069 -0.313606 -1.25981 --0.626564 -0.750069 0.721202 0.513652 --0.626564 -0.750069 -0.407596 0.746156 -1.71949 -0.117726 0.389152 2.28868 -1.71949 -0.117726 -0.0615107 -2.2467 -1.05652 1.77822 -3.03329 -0.0411348 -1.05652 1.77822 2.92294 -0.163966 -0.140133 -1.61922 -1.80767 1.30094 -0.140133 -1.61922 1.42628 -1.24621 -1.93784 -1.16888 2.52035 2.41964 -1.93784 -1.16888 -2.42939 -2.24629 --1.05093 1.99954 -0.261965 -3.30719 --0.359253 -0.909686 0.0368649 -1.25098 --0.359253 -0.909686 -0.648072 0.888655 --1.01977 1.15282 -0.592307 2.00573 --1.01977 1.15282 0.547937 -1.56381 --1.01977 1.15282 0.04437 -0.441918 -0.395925 1.54074 -1.9952 -0.878742 -0.395925 1.54074 1.63592 0.676762 -0.395925 1.54074 0.359276 0.201979 --0.730547 1.25797 -0.0949341 1.9374 --0.730547 1.25797 -0.175763 -1.53419 --1.77155 1.75277 -1.5346 3.70086 --1.77155 1.75277 1.53651 -3.53967 -1.50967 -0.0329813 0.26577 1.89703 -1.50967 -0.0329813 0.151546 -1.88159 -1.50967 -0.0329813 -0.417316 -0.0154397 --1.8337 -1.10496 -2.10647 -2.37319 --1.8337 -1.10496 2.20857 2.18132 -1.89624 -1.84491 3.94445 1.7988 -1.89624 -1.84491 -3.94065 -1.65609 -1.89624 -1.84491 -0.00379577 -0.142718 --0.463557 -1.27664 0.258045 -1.70983 --0.463557 -1.27664 -0.663874 1.41194 -1.73781 -1.47469 3.01216 1.78756 -1.73781 -1.47469 -2.98144 -1.59766 -1.73781 -1.47469 -0.0307239 -0.189903 --1.89078 1.73092 -1.81233 3.75379 --1.89078 1.73092 1.82594 -3.60213 -1.90526 -0.473519 1.08927 2.63122 -1.90526 -0.473519 -0.230565 -0.119546 --0.000775012 -1.98952 -2.10353 1.99049 --0.000775012 -1.98952 1.85095 -1.99273 --1.48603 0.908491 -1.50418 1.83157 --1.48603 0.908491 1.65567 -1.54453 --0.578577 -0.940936 -0.153747 -1.43454 --0.578577 -0.940936 0.560486 0.490889 -0.978148 1.60966 -2.65391 -0.0287993 -0.978148 1.60966 2.52726 -0.220639 --0.418308 -1.93869 0.229672 0.104134 -0.354113 1.13453 1.01509 -0.0483606 -0.443039 -0.228199 0.535064 0.653627 -1.52061 1.2399 2.38105 -1.54405 -1.52061 1.2399 -2.33106 1.28937 -0.741956 1.36391 -2.05154 -0.220221 -0.741956 1.36391 1.84408 -0.130001 -0.741956 1.36391 0.207454 0.350222 -0.310738 -0.866209 -1.15265 0.42264 -0.310738 -0.866209 0.267486 -0.748363 -0.703464 1.54415 -2.29935 -0.431165 -0.703464 1.54415 2.0775 0.162971 --1.3031 1.47588 -0.831462 2.75947 --1.3031 1.47588 0.800044 -2.50123 --0.6131 1.77956 0.631546 2.56736 --0.6131 1.77956 -0.853332 -2.39673 -0.250728 -1.36615 1.06633 -0.70903 --1.33715 -1.11184 -1.14086 -2.12994 --1.33715 -1.11184 1.20807 1.80553 --1.64708 -1.9505 -1.08689 -4.00858 --1.64708 -1.9505 1.06119 3.85709 -1.37172 -1.59806 2.9275 0.951521 -1.37172 -1.59806 -2.96178 -0.729868 -1.37172 -1.59806 0.0342842 -0.221653 --1.86548 0.137205 -2.38875 0.308208 --0.478867 -1.42402 0.398316 -1.90472 --0.478867 -1.42402 -0.744372 1.65851 --1.67434 1.62756 -1.43402 3.35542 --1.67434 1.62756 1.4396 -3.17179 --0.355016 1.31973 0.426868 1.64104 --0.355016 1.31973 -0.855768 -1.4034 --0.355016 1.31973 0.4289 -0.237633 -1.59944 1.75227 3.4588 -1.25242 -1.59944 1.75227 -3.47512 1.07589 --0.48406 0.533378 -0.270811 0.997031 --0.48406 0.533378 0.776458 -0.356703 --0.48406 0.533378 -0.505647 -0.640328 -0.889431 1.90956 -3.10339 -0.481506 -0.889431 1.90956 2.95926 0.308147 -1.31744 1.70734 -3.13577 0.52856 -1.31744 1.70734 3.08159 -0.735642 -1.56716 1.45611 2.83265 -1.46023 -1.56716 1.45611 -2.81756 1.24278 -0.158619 1.58149 -1.78318 -1.23229 -0.158619 1.58149 1.38334 1.16526 -0.158619 1.58149 0.399837 0.0670281 --0.0500943 0.0165613 0.373027 -0.0399408 --0.0500943 0.0165613 -0.152094 0.342872 --0.0500943 0.0165613 -0.220933 -0.302931 -1.41641 1.9295 -3.68199 0.524478 -1.41641 1.9295 3.6299 -0.690681 -1.41641 1.9295 0.0520901 0.166203 --0.0973462 1.71387 -1.60816 -1.71454 --0.0973462 1.71387 1.27505 1.75928 -1.36352 -1.03581 1.90507 1.40673 -1.36352 -1.03581 -1.82104 -1.07531 -0.91865 -1.50719 0.141473 -0.283826 --1.66151 1.51545 -1.49527 3.11449 --1.66151 1.51545 1.51405 -2.91735 -0.0389639 -1.9096 -2.05172 1.81953 -0.0389639 -1.9096 1.77738 -1.81128 -1.46229 1.21336 2.28845 -1.45601 -1.46229 1.21336 -2.24044 1.18375 -1.74557 -0.837712 -1.58481 -1.99679 -0.652597 -1.31 -1.90351 0.312505 -0.652597 -1.31 1.6512 0.0710045 -0.652597 -1.31 0.252319 -0.383509 -1.43315 -1.22826 -0.0397326 -0.276978 --0.704746 -0.725212 -0.408325 -1.26838 --0.33529 1.81065 -1.36008 -2.13964 --0.33529 1.81065 1.08866 2.24489 -1.79987 -0.310189 0.75543 2.44414 -1.79987 -0.310189 -0.473267 -2.34812 -0.122017 0.139693 0.41589 -0.393425 -0.122017 0.139693 -0.549816 -0.157103 --0.563249 -1.50877 0.382406 -2.11166 --0.563249 -1.50877 -0.673606 1.87185 -1.9858 -0.323048 0.79453 2.81401 -1.9858 -0.323048 -0.560475 -2.73751 --1.74836 1.61519 -1.59879 3.38884 --1.74836 1.61519 1.61312 -3.21272 -1.3529 -1.75423 0.0514959 -0.196357 -1.8989 1.67207 3.56651 -1.96236 -1.8989 1.67207 -3.54697 1.80745 -0.93146 1.38294 -2.22258 0.0718913 -0.93146 1.38294 2.09479 -0.399447 -1.85764 1.20779 2.55104 -2.2287 -1.85764 1.20779 -2.46876 2.04184 -1.32877 -1.52197 2.74196 0.944887 -1.32877 -1.52197 -2.7753 -0.703872 -1.88585 1.33772 2.84038 -2.19944 -1.88585 1.33772 -2.77896 2.02254 --1.44429 -1.43173 -0.00338256 0.242918 -1.87981 -0.936831 2.01074 2.42651 -1.87981 -0.936831 -1.87358 -2.24442 -1.83569 1.62656 3.4132 -1.8653 -1.83569 1.62656 -3.39349 1.70035 --1.37475 1.40853 -1.01552 2.69116 --1.37475 1.40853 1.01073 -2.43133 -1.90882 -0.831685 1.81068 2.53216 -1.90882 -0.831685 -1.65244 -2.3625 -1.90882 -0.831685 -0.158238 -0.16966 --1.11715 0.978105 -0.844254 1.79215 --1.11715 0.978105 0.9336 -1.34261 -0.611563 -0.635347 0.920192 0.665757 --0.415346 1.94096 -1.38239 -2.45056 --0.415346 1.94096 1.15273 2.55378 --0.235475 -0.362591 -0.143053 -0.77784 --0.235475 -0.362591 -0.540435 0.514961 --0.235475 -0.362591 0.683488 0.26288 -1.21732 0.622098 1.1715 -1.39025 -1.21732 0.622098 -0.827356 0.864429 -1.21732 0.622098 -0.344148 0.525817 -1.74232 -0.329548 0.788383 2.33297 -1.74232 -0.329548 -0.491973 -2.22248 -1.74232 -0.329548 -0.29641 -0.110487 --1.82413 -1.9946 -1.42854 -4.27671 --1.82413 -1.9946 1.41639 4.14026 -0.460715 -1.49701 1.65629 -0.497915 --0.890929 -0.971323 -0.516941 -1.66317 --0.890929 -0.971323 0.56023 1.00875 --0.890929 -0.971323 -0.0432889 0.654421 --1.71627 -1.50871 -1.61313 -3.14144 --1.71627 -1.50871 1.63825 2.95139 -0.892732 -0.855812 1.32049 0.828753 -0.892732 -0.855812 -1.35521 -0.254528 --1.70614 -1.41247 -1.66084 -2.93549 --1.70614 -1.41247 1.69967 2.7353 --0.859485 1.3258 0.0393913 -1.77209 -0.707407 -1.05672 -1.58107 0.0755977 -0.707407 -1.05672 1.40237 0.440861 --0.0413571 -1.51934 -1.46344 1.38727 --0.0413571 -1.51934 1.03961 -1.43119 -1.34268 -0.33357 0.765076 1.64418 -1.34268 -0.33357 -0.286897 -1.44902 -1.34268 -0.33357 -0.478178 -0.195153 -1.25761 1.42843 2.50307 -0.904557 -1.25761 1.42843 -2.53865 0.633592 -0.466707 0.592449 -0.987376 -0.165713 -0.466707 0.592449 0.818785 -0.570209 --1.62552 -1.96585 -1.02597 -4.01985 --1.62552 -1.96585 0.997092 3.86868 --1.97503 -1.56675 -2.12661 -3.45638 --1.97503 -1.56675 2.16264 3.30323 --1.97503 -1.56675 -0.0360356 0.153158 -1.53967 -1.07284 -1.9889 -1.42594 --1.63728 -0.239243 2.23838 0.420152 --1.63728 -0.239243 -1.88635 -0.535698 --1.63728 -0.239243 -0.352026 0.115546 --1.23199 1.49682 -0.685787 2.73885 --1.23199 1.49682 0.634405 -2.47508 --0.873609 1.03745 0.382298 -1.10206 --0.873609 1.03745 0.0716501 -0.641394 -1.29917 -0.339352 0.770042 1.5773 -1.29917 -0.339352 -0.262297 -1.36987 -1.29917 -0.339352 -0.507745 -0.207437 -1.07008 -1.49602 -2.5257 -0.23066 -1.07008 -1.49602 2.43271 0.507289 -1.22954 -0.527341 -0.533161 -1.01199 --1.42362 1.84431 -0.731121 3.5708 --1.42362 1.84431 0.684284 -3.39212 --1.99299 0.536878 2.83752 -1.08773 --1.99299 0.536878 -2.63562 1.20664 -1.44499 -1.50889 2.82681 1.17669 -1.44499 -1.50889 -2.83743 -0.948886 -1.44499 -1.50889 0.0106225 -0.227806 --0.821662 1.71659 0.226345 2.71352 --0.821662 1.71659 -0.401792 -2.5005 --0.821662 1.71659 0.175447 -0.213021 -1.7652 -0.154208 0.455329 2.37826 -1.7652 -0.154208 -0.145698 -2.32684 --0.693493 -1.912 0.669407 -2.88045 --0.693493 -1.912 -0.854895 2.72713 --1.02147 -1.21317 -0.553388 -2.10014 --1.02147 -1.21317 0.486435 1.69045 --1.14021 -1.31106 0.62938 2.00931 --1.60973 1.29481 -1.5439 2.6346 --1.60973 1.29481 1.59555 -2.40603 --1.69138 -0.946577 -1.88564 -1.98485 --1.69138 -0.946577 2.02452 1.76047 -0.780955 1.70582 0.183253 0.217596 -0.0703374 -1.71543 -1.83973 1.51124 -0.0703374 -1.71543 1.49929 -1.49095 --1.10362 -0.862226 -0.875079 -1.60777 --1.10362 -0.862226 1.03611 1.13726 -0.831259 1.8053 -2.85711 -0.474123 -0.831259 1.8053 2.69395 0.280276 -1.96312 -1.70794 3.70155 2.07232 -1.96312 -1.70794 -3.6813 -1.92608 -1.92461 1.17628 2.52776 -2.38744 -1.92461 1.17628 -2.43827 2.21188 -1.92461 1.17628 -0.0894928 0.175565 -1.36503 1.91965 -3.61119 0.427598 -1.36503 1.91965 3.55231 -0.597504 --1.43077 1.77348 -0.813433 3.43728 --1.43077 1.77348 0.772596 -3.24844 --1.49072 -0.421017 1.93665 0.692179 --1.49072 -0.421017 -1.59718 -0.919701 --1.49072 -0.421017 -0.339472 0.227522 --1.40666 -0.443811 -0.35025 0.270503 --1.88582 1.87078 -1.68085 4.0591 --1.88582 1.87078 1.68209 -3.91728 --1.05925 1.72354 0.0562873 -2.76092 --1.05925 1.72354 0.112106 -0.218405 --0.586806 1.92947 0.866027 2.77054 --0.586806 1.92947 -1.06942 -2.63521 --1.19001 -0.937458 -0.978867 -1.76175 --1.19001 -0.937458 1.10187 1.3479 --0.733399 -1.99301 0.706052 -3.06728 --0.733399 -1.99301 -0.874918 2.92468 -1.65069 1.58009 3.15362 -1.5193 -1.65069 1.58009 -3.14574 1.32829 --1.69086 0.151369 2.34735 -0.271828 --1.69086 0.151369 -1.9999 0.340289 --0.999967 0.0405599 1.32388 -0.0473036 --0.999967 0.0405599 -0.686456 0.587969 --0.999967 0.0405599 -0.637426 -0.540666 --1.50059 -0.197722 2.01259 0.324582 --1.50059 -0.197722 -1.58478 -0.463136 --1.31878 -0.710913 -1.26586 -1.42996 --1.31878 -0.710913 1.50393 1.07936 --1.52604 -1.68011 -1.08756 -3.3379 --1.52604 -1.68011 1.06917 3.14409 -1.22516 1.26285 2.18494 -0.998373 -1.22516 1.26285 -2.19814 0.680337 -1.16647 1.11737 1.89668 -1.02267 -1.16647 1.11737 -1.89005 0.64752 -0.552857 1.7862 -2.52545 -0.913962 -0.552857 1.7862 2.28793 0.749002 -1.58028 0.803115 -1.42602 1.65149 --1.19423 1.48294 -0.630456 2.68254 --1.19423 1.48294 0.571081 -2.40995 --1.19423 1.48294 0.059374 -0.272593 --0.524401 -0.775803 -0.481348 0.783584 --0.524401 -0.775803 0.679558 0.449958 -1.8025 0.216361 0.574074 -2.45199 -1.8025 0.216361 -0.281559 2.3841 --1.49719 1.09437 -1.44183 2.18324 --1.49719 1.09437 1.53314 -1.90847 -1.90327 -1.03089 2.21435 2.42664 -1.90327 -1.03089 -2.09751 -2.24693 -1.55578 -1.1522 2.24225 1.67235 -1.55578 -1.1522 -2.16674 -1.41584 -1.55578 -1.1522 -0.0755085 -0.256515 -1.35532 -0.688666 -1.05969 -1.20328 -0.0980899 1.53122 -1.65014 -1.24497 -0.0980899 1.53122 1.21961 1.21106 -0.390877 0.0169898 0.364014 -0.653108 -0.390877 0.0169898 0.340202 0.660547 -0.390877 0.0169898 -0.704216 -0.00743931 -1.52023 0.723254 1.44968 -1.84072 -1.52023 0.723254 -1.2205 1.55943 --0.460112 0.064624 0.813877 -0.0516718 --0.460112 0.064624 -0.389378 0.661022 --0.460112 0.064624 -0.424499 -0.60935 -0.585309 -1.80349 -2.58919 0.882037 -0.585309 -1.80349 2.3631 -0.715592 --1.5182 0.59954 1.90596 -1.00907 --1.5182 0.59954 -1.64266 1.26236 -0.291157 -1.37791 1.15449 -0.628353 -1.87199 -1.82766 3.88322 1.76154 -1.87199 -1.82766 -3.87985 -1.6156 --0.814877 -1.57455 0.0841349 -2.47988 --0.814877 -1.57455 -0.27306 2.22278 -0.409591 1.2554 -1.63883 -0.593117 -0.409591 1.2554 1.19301 0.147563 -1.85891 1.70927 3.61205 -1.84236 -1.85891 1.70927 -3.59914 1.68619 -1.85891 1.70927 -0.0129101 0.156164 --1.06729 -1.95092 0.0638227 -3.39751 --1.06729 -1.95092 -0.173617 3.22739 --1.82701 -1.05525 -2.11623 -2.2659 --1.82701 -1.05525 2.22848 2.07251 -1.39162 -1.52533 -2.83036 -0.827483 --0.900195 -1.5292 -0.0641078 2.21635 -1.6429 0.826106 1.68617 -2.01828 -1.6429 0.826106 -1.50768 1.77712 -1.6429 0.826106 -0.178493 0.241159 --1.65906 0.258706 2.2732 -0.458979 --1.65906 0.258706 -1.93434 0.576665 --0.891652 -1.75849 0.15715 -2.86065 --0.891652 -1.75849 -0.311111 2.65423 -1.00097 -1.59909 -2.65488 -0.0211477 -1.00097 -1.59909 2.53514 0.27279 -1.99143 -1.05287 2.30706 2.59833 -1.99143 -1.05287 -2.19588 -2.43484 --1.92587 -0.981058 -2.35835 -2.15227 --1.92587 -0.981058 2.48377 1.97996 -0.453007 1.45353 1.57034 0.444013 --0.939212 -0.446973 1.15475 0.489126 --0.939212 -0.446973 -0.738931 -1.00691 --1.4847 1.27987 -1.31093 2.52613 --1.4847 1.27987 1.35163 -2.26849 -1.48438 1.78252 3.40443 -0.986752 -1.48438 1.78252 -3.43805 0.804485 -0.229563 1.45254 -1.70619 -0.999356 -0.229563 1.45254 1.22998 0.867638 -1.39738 -0.298657 0.713827 1.73234 -1.39738 -0.298657 -0.263103 -1.56967 -1.39738 -0.298657 -0.450724 -0.162677 --1.46456 1.61767 -1.01953 3.16141 --1.46456 1.61767 0.999021 -2.95159 --0.956653 0.960189 -0.614411 1.68354 --0.956653 0.960189 0.684149 -1.10629 --0.956653 0.960189 -0.0697385 -0.577243 -1.37736 1.9628 -3.71259 0.410277 -1.37736 1.9628 3.6537 -0.57356 --1.1079 0.676764 1.21128 -0.873369 --1.1079 0.676764 -0.273154 -0.45846 -1.46792 -0.367903 -0.436079 -1.65734 -1.55702 -0.967244 1.90206 1.78966 -1.55702 -0.967244 -1.77158 -1.51866 -0.321455 -0.146136 0.448568 0.572807 -0.321455 -0.146136 0.24239 -0.654148 -0.321455 -0.146136 -0.690958 0.0813407 -1.26242 0.358141 -0.260801 1.29269 -1.86958 -0.420268 0.977637 2.56884 -1.86958 -0.420268 -0.730418 -2.45495 --0.114528 -1.83803 -1.7347 1.91599 --0.114528 -1.83803 1.44439 -1.95592 --1.05388 0.121936 1.38166 -0.148597 --1.05388 0.121936 -0.779008 0.621537 -1.93663 -0.0718575 0.27967 2.71261 -1.93663 -0.0718575 -0.0165299 -2.69368 --1.15827 0.253356 -0.513888 -0.382813 -1.33499 -1.58852 2.87293 0.891185 -1.33499 -1.58852 -2.91292 -0.663775 --1.39706 1.90619 -0.616329 3.6674 --1.39706 1.90619 0.562174 -3.4963 -1.83692 0.430211 0.992397 -2.50321 -1.83692 0.430211 -0.739185 2.3814 --1.88583 -0.655183 2.57311 1.28629 --1.88583 -0.655183 -2.37819 -1.44208 --1.24074 -1.32203 -0.837805 -2.43702 --1.24074 -1.32203 0.820999 2.12917 -1.92718 -0.0407534 0.216888 2.69023 -1.92718 -0.0407534 0.0494036 -2.67935 -1.58709 1.12295 2.20838 -1.75054 -1.58709 1.12295 -2.12226 1.49939 --0.0345671 -1.2398 0.579539 0.119675 --1.31088 -1.64571 -0.700542 -3.08045 --1.31088 -1.64571 0.649739 2.85904 -1.97419 -0.93243 2.04629 2.6223 -1.97419 -0.93243 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0.902718 1.29703 -1.37458 -0.400805 1.86627 -2.46994 -1.24265 -0.400805 1.86627 2.21678 1.12896 --0.889076 1.64022 0.0340612 2.66193 --0.889076 1.64022 -0.194421 -2.42223 -1.48012 1.47816 2.79962 -1.27195 -1.48012 1.47816 -2.80022 1.04433 -1.66071 0.590244 1.25837 -2.13607 -1.66071 0.590244 -1.00234 1.9336 -0.270164 -1.88918 -2.33853 1.46605 -0.270164 -1.88918 2.07205 -1.39003 -1.62623 1.31412 2.60237 -1.69023 -1.62623 1.31412 -2.55564 1.46638 -1.62623 1.31412 -0.0467281 0.223851 -1.23146 1.00314 1.76249 -1.21053 -1.23146 1.00314 -1.69758 0.822071 -1.23146 1.00314 -0.0649189 0.388454 -0.99098 0.951263 1.51502 -0.889194 -0.99098 0.951263 -1.52641 0.393236 --1.60329 -1.67157 -1.25125 -3.38703 --1.60329 -1.67157 1.24377 3.20036 --1.51626 0.117646 -1.60362 0.280292 -0.83872 -1.70716 -2.69514 0.362447 -0.83872 -1.70716 2.5288 -0.14201 --0.494454 -0.372839 0.818637 0.274318 --0.494454 -0.372839 -0.487883 0.596104 --1.80432 0.0757276 2.5626 -0.142364 --1.80432 0.0757276 -2.25231 0.17002 -1.22579 1.57803 -2.80379 0.457579 -1.22579 1.57803 2.74248 -0.698435 --0.866043 -1.57157 0.000510644 -2.52766 --0.866043 -1.57157 -0.171533 2.26629 -1.7248 0.921775 1.90539 -2.12781 -1.7248 0.921775 -1.7594 1.90807 --1.37507 1.52676 -0.923593 2.91226 --1.37507 1.52676 0.899392 -2.67521 --0.0128594 0.0143413 -0.0646742 0.260153 --0.0128594 0.0143413 0.257622 -0.0740726 --0.0128594 0.0143413 -0.192948 -0.18608 -1.01186 -1.45485 -2.40688 -0.15789 -1.01186 -1.45485 2.30002 0.452531 --1.99405 0.778754 2.73858 -1.5909 --1.99405 0.778754 -2.57915 1.73856 --1.99405 0.778754 -0.159435 -0.14766 -1.55426 -0.837453 -0.177991 -0.274087 -1.76618 0.618557 1.34086 -2.32574 -1.76618 0.618557 -1.11409 2.14808 -1.95133 -0.099566 0.335383 2.74488 -1.95133 -0.099566 -0.0769148 -2.71924 -1.95133 -0.099566 -0.258468 -0.0256409 -1.21041 -0.265762 0.657327 1.45262 -1.21041 -0.265762 -0.0788878 -1.29268 --1.17911 0.178395 1.53373 -0.239525 --1.17911 0.178395 -0.961236 0.601688 -0.975637 -1.99356 -3.35184 0.414761 -0.975637 -1.99356 3.22792 -0.254026 -0.975637 -1.99356 0.12392 -0.160735 --1.54548 -0.449156 -0.314413 0.213287 --0.314499 1.19348 0.329864 1.46641 --0.314499 1.19348 -0.826726 -1.20182 --0.314499 1.19348 0.496862 -0.264587 -1.29391 0.705178 1.32787 -1.47369 -1.29391 0.705178 -1.07369 1.04909 -1.94326 1.95503 4.23698 -1.79745 -1.94326 1.95503 -4.23785 1.66592 -0.969335 0.76715 1.25658 -0.980657 -0.969335 0.76715 -1.22082 0.37436 -1.88723 -1.25078 2.6594 2.26193 -1.88723 -1.25078 -2.58374 -2.08172 --0.822546 -1.20509 -0.265141 -1.94011 --0.822546 -1.20509 0.0586964 1.48216 --0.822546 -1.20509 0.206445 0.457948 --0.0207045 -1.53509 -1.50717 1.3849 --0.0207045 -1.53509 1.08838 -1.4161 --0.0207045 -1.53509 0.418794 0.0312045 --1.49367 -1.76943 -0.942457 -3.48796 --1.49367 -1.76943 0.911174 3.30358 --1.2877 -1.45027 -0.823954 -2.7006 --1.2877 -1.45027 0.793181 2.43406 -1.92092 -0.229628 0.601011 2.68634 -1.92092 -0.229628 -0.342637 -2.6256 -0.633367 0.211606 0.553299 -0.812369 -0.633367 0.211606 0.241078 0.820535 -0.633367 0.211606 -0.794378 -0.00816525 --0.466953 0.63555 -0.214778 1.07733 --0.466953 0.63555 -0.520531 -0.688413 --0.466953 0.63555 0.73531 -0.388917 --0.598636 0.304661 -0.47452 -0.595375 -1.94794 -1.82725 3.95374 1.93069 -1.94794 -1.82725 -3.94491 -1.79086 --0.470609 1.77406 0.840393 2.37629 --0.470609 1.77406 -1.09524 -2.23194 -1.90397 0.280844 -0.445775 2.57526 -1.08758 -0.637801 -0.953451 -0.528812 --0.920791 -1.76599 0.116165 -2.90552 --0.920791 -1.76599 -0.262365 2.69963 --0.688029 0.127545 0.999498 -0.113865 -1.95069 0.281373 0.706929 -2.74493 -1.95069 0.281373 -0.460636 2.67428 --1.17364 1.91429 0.0843771 -3.2709 -1.15552 -1.03007 1.75119 1.0721 -1.15552 -1.03007 -1.72049 -0.664488 --1.04924 1.93536 0.0791846 3.34837 --1.04924 1.93536 -0.192579 -3.17567 --1.99434 0.559232 2.83242 -1.13422 --1.99434 0.559232 -2.63442 1.25628 --1.40348 1.14304 -1.24239 2.2228 --1.40348 1.14304 1.30891 -1.92475 --1.95 -0.885428 2.59035 1.79229 --1.95 -0.885428 -2.44765 -1.95578 -1.79367 1.82267 3.79731 -1.595 -1.79367 1.82267 -3.7999 1.44227 --1.28026 -0.461126 1.58725 0.670024 --1.28026 -0.461126 -1.22016 -1.00807 --1.28026 -0.461126 -0.367097 0.338046 --1.70252 1.87314 -1.27902 3.8968 --1.70252 1.87314 1.26424 -3.74121 --1.2424 0.716937 -1.13768 1.4232 --1.2424 0.716937 1.37794 -1.03459 --1.91953 0.760007 2.59275 -1.51537 --1.91953 0.760007 -2.42312 1.67561 -1.04041 -0.634587 1.1194 1.13835 -1.04041 -0.634587 -0.982316 -0.44351 -1.04041 -0.634587 -0.137082 -0.694836 -0.901453 -1.36504 -2.17094 -0.0343288 -0.901453 -1.36504 2.03339 0.37186 -1.92482 1.49253 3.19879 -2.167 -1.92482 1.49253 -3.15713 2.00364 -0.230975 0.99157 -1.21502 -0.57916 -0.230975 0.99157 0.849211 -0.205486 -0.230975 0.99157 0.365812 0.784646 --0.174993 -1.86096 -1.67221 2.0261 --0.174993 -1.86096 1.39369 -2.08171 -0.0666813 1.69327 -1.80701 -1.4867 -0.0666813 1.69327 1.45742 1.46779 -1.28775 -1.35626 2.40231 1.02476 -1.28775 -1.35626 -2.41887 -0.742232 -0.29122 -0.89306 0.87971 0.298904 -0.448963 -1.88863 -2.56335 1.19618 -0.448963 -1.88863 2.32411 -1.07543 --0.51272 -0.744615 -0.20361 -1.1977 --1.12166 -1.2027 0.0195523 0.379508 --0.167817 -1.72569 -1.52008 1.81435 --0.167817 -1.72569 1.19905 -1.88255 --0.167817 -1.72569 0.321025 0.0682062 --1.02758 -1.02276 0.720583 1.31608 -1.41593 0.287159 -0.254002 1.60984 --1.32248 0.620236 -1.2873 1.27646 -1.88039 0.921218 1.97943 -2.4351 -1.88039 0.921218 -1.83888 2.25381 --0.909121 -0.615995 -0.681741 -1.20729 --0.909121 -0.615995 1.02129 0.647024 --0.909121 -0.615995 -0.339545 0.560271 -1.37267 -0.814673 1.53972 1.54994 -1.37267 -0.814673 -1.35472 -1.18934 -1.34784 -1.83351 -3.41822 -0.475225 -1.34784 -1.83351 3.36093 0.659031 --1.91331 -0.263023 2.75001 0.515769 --1.91331 -0.263023 -2.49101 -0.590699 --1.03411 -1.37332 -0.450678 -2.36417 --1.03411 -1.37332 0.35334 2.03176 -1.54982 1.71841 3.34051 -1.18416 -1.54982 1.71841 -3.35989 0.998897 --0.644316 -1.91795 0.757703 -2.82719 --0.644316 -1.91795 -0.952028 2.68139 -1.59557 0.841453 -1.51754 1.66584 -1.55577 0.623978 1.28834 -1.9378 -1.55577 0.623978 -1.02108 1.68932 --1.76022 0.559616 2.36701 -1.0455 --1.76022 0.559616 -2.13139 1.21607 -1.01459 -0.324671 -0.728594 -0.166452 -1.91851 -1.60924 3.44638 2.05885 -1.91851 -1.60924 -3.41889 -1.9018 -0.872198 1.40968 2.07049 -0.275273 -0.751189 -1.85558 -2.85855 0.665649 -0.751189 -1.85558 2.67994 -0.490219 --1.32972 0.832388 -1.2516 1.64041 --1.32972 0.832388 1.43297 -1.29032 -1.35352 1.64906 3.00696 -0.865497 -1.35352 1.64906 -3.04969 0.651073 -1.92611 -0.970432 2.10186 2.50463 -1.92611 -0.970432 -1.97344 -2.33099 -1.27515 1.92074 -3.52441 0.243462 -1.27515 1.92074 3.45184 -0.416557 --0.864319 -1.6562 0.0912085 -2.66186 --0.864319 -1.6562 -0.258391 2.4283 -1.28887 -0.392219 0.848248 1.55553 -1.28887 -0.392219 -0.343552 -1.30465 -1.28887 -0.392219 -0.504696 -0.250876 --1.75812 1.63353 -1.60483 3.4354 --1.75812 1.63353 1.61792 -3.26207 -1.20747 -0.973225 1.69898 1.19276 -1.20747 -0.973225 -1.62955 -0.785671 -1.20747 -0.973225 -0.0694396 -0.40709 --1.59512 -0.911722 -1.70966 -1.87886 --1.59512 -0.911722 1.85977 1.62764 --1.47227 0.187528 1.96799 -0.303191 -0.606907 -1.71314 -2.46969 0.749414 -0.606907 -1.71314 2.23426 -0.554067 -0.606907 -1.71314 0.235424 -0.195347 -0.0460109 1.77618 -1.88474 -1.62384 -0.0460109 1.77618 1.56738 1.61305 --1.9023 1.94598 -1.64909 4.24223 --1.9023 1.94598 1.64611 -4.10714 --1.17495 0.350359 1.48274 -0.470204 --1.17495 0.350359 -1.03516 0.851579 -1.89714 -0.532003 1.20455 2.60339 -1.89714 -0.532003 -0.982805 -2.47091 --0.554051 -0.540079 0.807278 0.383685 --0.459443 0.221641 -0.346512 0.752282 --0.459443 0.221641 0.810286 -0.170858 --0.459443 0.221641 -0.463774 -0.581424 --1.87656 -0.376872 2.65274 0.731085 --1.87656 -0.376872 -2.40165 -0.839301 -0.635296 1.44385 -2.08542 -0.446305 -0.635296 1.44385 1.82491 0.137288 --0.799739 1.18773 0.0188072 -1.42592 --1.50608 -0.0619654 2.03675 0.101851 --1.50608 -0.0619654 -1.57094 -0.150696 --1.46989 -0.932194 -1.46516 -1.86911 --1.46989 -0.932194 1.60801 1.57671 -1.40372 0.584435 -0.844542 1.37647 --1.73801 0.637505 -0.218794 -0.188498 --1.89096 -1.51237 -1.98136 -3.27616 --1.89096 -1.51237 2.01918 3.10984 -0.249785 1.2066 0.622588 0.678898 -0.249785 1.2066 0.823002 0.0558669 -1.61918 -1.38421 2.73432 1.62184 -1.61918 -1.38421 -2.70115 -1.40426 --0.188903 -1.24955 -1.02514 1.18523 --0.188903 -1.24955 0.509187 -1.37538 --0.188903 -1.24955 0.515949 0.190145 --0.743257 0.728898 -0.449739 1.28845 -0.147936 -1.05851 -1.21116 0.707883 -0.147936 -1.05851 0.438742 -0.862044 --0.278393 -1.41499 -1.04193 1.47832 --0.278393 -1.41499 0.626782 -1.65401 --1.65943 -1.34338 -1.61203 -2.76356 --1.65943 -1.34338 1.65877 2.54917 -1.46756 1.26098 2.3799 -1.42947 -1.46756 1.26098 -2.34227 1.16576 --0.575705 1.88244 0.821751 2.68074 --0.575705 1.88244 -1.03465 -2.53835 --1.55904 -1.519 -1.28587 -3.04352 --1.55904 -1.519 1.29208 2.83197 -1.59181 0.207961 0.562159 -2.06038 -1.59181 0.207961 -0.193227 1.9724 --0.114011 -0.239221 -0.09125 -0.644222 --0.114011 -0.239221 -0.496784 0.407415 --0.114011 -0.239221 0.588034 0.236807 --0.690662 -1.21077 -0.0822665 -1.84065 --0.690662 -1.21077 -0.230535 1.4162 --0.690662 -1.21077 0.312801 0.424453 -0.581583 -1.41455 -1.99618 0.4993 -0.581583 -1.41455 1.70369 -0.178808 -0.552931 1.75349 -2.47444 -0.877427 -0.552931 1.75349 2.23057 0.703708 -0.552931 1.75349 0.243865 0.173719 --0.587804 1.15167 -0.00427818 1.67996 --0.587804 1.15167 -0.401561 -1.26672 -1.37035 -0.330157 0.762 1.68758 -1.37035 -0.330157 -0.301109 -1.5004 --1.27472 -1.24096 -0.0131878 0.319225 -0.421274 1.42846 1.4764 0.458004 -0.732205 -0.0847058 0.450779 0.908799 -0.595617 1.63389 2.08224 0.464969 --1.41282 0.469786 1.78926 -0.741705 --1.41282 0.469786 -1.45249 1.01511 -0.140363 1.41683 1.05552 1.00581 -1.13621 0.59162 1.09838 -1.28488 -1.13621 0.59162 -0.801771 0.577711 -1.13621 0.59162 -0.296611 0.707174 --0.238211 1.20403 -0.930801 -1.16524 --0.238211 1.20403 0.412107 1.39304 --0.953165 -0.541186 -0.749255 -1.12198 --0.953165 -0.541186 1.11824 0.598351 --1.52285 -1.32078 -1.35731 -2.62927 --1.52285 -1.32078 1.39393 2.38542 --0.857182 0.233983 -0.503197 -0.552416 --1.94161 1.02721 -2.37232 2.25833 --1.94161 1.02721 2.48866 -2.08778 --1.94161 1.02721 -0.116333 -0.170554 --1.7365 1.02174 -1.94486 2.15559 --1.7365 1.02174 2.06461 -1.94204 -0.0421024 -1.49808 1.09801 -1.27029 -1.94469 1.57887 3.40188 -2.14107 -1.94469 1.57887 -3.3694 1.98506 -1.84762 -1.98254 4.20273 1.55482 -1.84762 -1.98254 -4.21237 -1.41911 -0.474296 1.57403 -2.12264 -0.803736 --1.92447 0.0162026 2.79559 -0.0318318 --1.92447 0.0162026 -2.5228 0.0365988 --0.0470894 -1.40883 -1.34113 1.25443 --0.0470894 -1.40883 0.859684 -1.32352 --0.17459 1.57228 0.963427 1.69542 --0.533043 -1.16972 0.0754327 -1.65335 --0.533043 -1.16972 -0.499115 1.2778 -1.06202 -1.37714 -2.30486 -0.303922 -1.06202 -1.37714 2.22314 0.617657 --0.334302 1.4069 0.553112 1.71462 --0.334302 1.4069 -0.954305 -1.51429 --1.22795 -1.89958 -0.293684 -3.47841 --1.22795 -1.89958 0.212851 3.29991 -1.03637 -0.66873 1.16263 1.1181 -1.03637 -0.66873 -1.04131 -0.456652 -1.03637 -0.66873 -0.121321 -0.661452 -1.67171 -1.5167 3.04288 1.6174 -1.67171 -1.5167 -3.02445 -1.42228 -1.15045 1.99348 -3.5407 -0.0793931 -1.15045 1.99348 3.44681 -0.0840467 -0.678361 1.21563 -1.78655 -0.208703 -0.678361 1.21563 1.55936 -0.226751 -1.56922 -1.79836 3.52369 1.1439 -1.56922 -1.79836 -3.54754 -0.970367 -0.937405 -0.93152 1.4489 0.831755 -0.937405 -0.93152 -1.48084 -0.309886 -1.62572 0.420018 0.942218 -2.10837 -1.62572 0.420018 -0.626342 1.94429 --1.66074 1.0769 -1.76681 2.23117 --1.66074 1.0769 1.87185 -2.00003 -1.92693 0.0633691 0.263174 -2.69199 -1.92693 0.0633691 0.00274387 2.67507 -0.665879 0.821275 1.12258 -0.602887 -0.665879 0.821275 -1.26449 -0.0374922 --0.518064 -1.93183 0.979044 -2.68198 --0.518064 -1.93183 -1.19412 2.55825 --1.03741 -0.824432 -0.791645 -1.52613 --1.03741 -0.824432 0.978513 1.01126 --1.07691 -1.92875 0.0209666 -3.36761 --1.07691 -1.92875 -0.129281 3.19327 --1.21615 0.266014 1.56515 -0.367298 --1.21615 0.266014 -1.06705 0.709478 -0.310017 0.868504 -1.15431 -0.424658 -0.310017 0.868504 0.885484 -0.323768 -0.310017 0.868504 0.268828 0.748426 --1.8953 -0.481804 2.6587 0.943433 --1.8953 -0.481804 -2.43049 -1.07013 --0.766953 0.734836 0.800664 -0.626927 --0.644102 -1.77419 0.576674 -2.59735 --0.644102 -1.77419 -0.791887 2.42049 --1.46289 0.36656 1.90926 -0.592474 --1.46289 0.36656 -1.53846 0.81638 --1.46289 0.36656 -0.3708 -0.223906 --0.573209 -1.16575 0.0250955 -1.6841 --0.573209 -1.16575 -0.43116 1.28606 -0.62139 -1.15682 1.41813 0.231347 --0.891115 -1.92202 0.346219 -3.14035 --0.891115 -1.92202 -0.490975 2.97116 --0.891115 -1.92202 0.144756 0.169197 --0.404537 -0.829205 -0.586736 0.822721 -1.0299 1.7094 2.76541 -0.196328 --1.86085 -1.99078 -1.51399 -4.30352 --1.86085 -1.99078 1.50497 4.16906 --1.86085 -1.99078 0.0090186 0.134463 -0.344276 -1.5716 1.61647 -0.814449 -1.63617 -1.80102 3.59661 1.28044 -1.63617 -1.80102 -3.61289 -1.11263 --0.997438 -0.156726 1.30975 0.182234 -1.42076 1.58178 2.94409 -1.06154 -1.42076 1.58178 -2.96808 0.842661 -1.42076 1.58178 0.0239831 0.218879 --0.0628087 1.51864 -1.43494 -1.40945 --0.0628087 1.51864 1.01421 1.46416 --1.27101 0.349608 1.61786 -0.502554 --1.27101 0.349608 -1.1858 0.824428 -1.12383 0.37805 0.803278 -1.32317 -1.12383 0.37805 -0.143556 1.0799 -1.92442 -0.74356 1.63794 2.59755 -1.92442 -0.74356 -1.46255 -2.43932 --0.708043 1.56718 0.239371 2.35534 --0.708043 1.56718 -0.467175 -2.10773 --1.35362 -1.78604 -0.650511 -3.38811 --1.35362 -1.78604 0.596378 3.19577 -0.714028 -0.8154 0.118812 -0.633558 -0.495708 1.76049 -2.42128 -0.973375 -0.495708 1.76049 2.16348 0.813777 --1.94409 1.47246 2.17109 -3.06464 --1.94409 1.47246 -0.0458452 -0.161702 -0.179452 -1.03655 -1.21696 0.661205 -0.179452 -1.03655 0.414242 -0.828529 --1.82618 -0.194709 2.59228 0.369526 --1.82618 -0.194709 -2.30007 -0.43566 --0.830586 0.678286 -0.569564 1.26149 --1.81758 -0.452163 2.51622 0.86015 --1.81758 -0.452163 -2.26653 -0.996482 -1.90535 -1.23278 2.63372 2.31154 -1.90535 -1.23278 -2.55442 -2.13386 -0.138187 1.04659 0.425224 0.872415 --1.74466 1.07912 -1.93483 2.27629 --1.74466 1.07912 2.04134 -2.06516 -1.8483 0.322953 0.783631 -2.53754 -1.8483 0.322953 -0.516574 2.44463 --1.64553 -0.991936 -0.126899 0.23683 -1.60024 -0.0303143 0.243607 2.05649 -1.60024 -0.0303143 0.133536 -2.04377 --1.01514 1.74405 -0.069833 2.96937 --1.01514 1.74405 -0.0532708 -2.75582 --1.01514 1.74405 0.123104 -0.213549 -0.299447 1.2533 -1.54146 -0.721366 -0.299447 1.2533 0.892482 0.211059 -0.299447 1.2533 0.648979 0.510307 --0.810305 1.61391 -0.319936 -2.29352 -0.829276 0.972454 1.41564 -0.662275 -0.829276 0.972454 -1.51264 0.132546 --0.739925 -1.37833 0.000984218 -2.11286 --0.739925 -1.37833 -0.243559 1.77957 --1.96237 -1.69083 -2.00362 -3.72297 --1.96237 -1.69083 2.02585 3.57555 --1.81281 1.2908 -1.96077 2.75155 --1.81281 1.2908 2.02738 -2.56123 --1.81281 1.2908 -0.0666126 -0.190318 -0.714477 -0.575843 0.912399 0.788857 -0.714477 -0.575843 -1.01313 -0.0454556 --0.314093 1.75041 -1.3251 -2.01926 --0.314093 1.75041 1.03398 2.12897 -0.94444 0.14995 0.512632 -1.1183 -0.94444 0.14995 0.205062 1.05987 -0.94444 0.14995 -0.717693 0.058437 -1.63514 1.07941 2.15667 -1.86895 -1.63514 1.07941 -2.05557 1.62739 --0.228452 1.90322 1.37996 2.22413 -1.8814 -1.96699 4.20224 1.64614 -1.8814 -1.96699 -4.20831 -1.5114 --1.31117 0.721959 -1.25054 1.44701 --1.31117 0.721959 1.48389 -1.09206 -0.71767 1.81621 -2.75554 -0.679623 -0.71767 1.81621 2.5648 0.49802 -1.6102 -1.75607 3.47725 1.27091 -1.6102 -1.75607 -3.49264 -1.09578 -0.38037 -1.29089 1.17102 -0.260033 --1.93764 -0.955315 -2.3942 -2.10176 --1.93764 -0.955315 2.52414 1.93259 -0.371274 -1.22146 1.08218 -0.10791 --1.34643 -1.28916 -1.04853 -2.45242 --1.34643 -1.28916 1.06423 2.16292 -0.166039 0.297948 -0.673381 -0.236544 -1.84107 0.822265 1.76383 -2.40015 -1.84107 0.822265 -1.59818 2.21588 -0.940185 1.7005 2.64247 -0.0457159 --0.356856 0.524355 -0.557077 -0.615833 --0.356856 0.524355 0.729453 -0.324968 --1.99828 0.253757 2.9213 -0.512011 --1.99828 0.253757 -2.68192 0.57531 --1.86947 -0.0747271 2.68671 0.143974 --1.86947 -0.0747271 -2.39851 -0.168113 -1.16673 -0.91715 1.58603 1.16655 -1.16673 -0.91715 -1.50674 -0.722478 --1.38984 0.901219 -1.33234 1.78195 --1.38984 0.901219 1.48498 -1.45847 -1.57802 -0.819841 1.64557 1.90246 -1.57802 -0.819841 -1.46152 -1.63823 -1.26734 -1.31977 2.3199 1.02127 -1.26734 -1.31977 -2.3343 -0.726342 --0.595969 1.13046 0.413416 -0.429388 --0.172908 -1.0633 -0.9129 0.960701 --0.172908 -1.0633 0.313691 -1.21145 -0.470334 -1.90574 -2.6162 1.18373 -0.470334 -1.90574 2.38452 -1.06161 --0.370641 1.57345 0.718056 1.96546 --0.370641 1.57345 -1.04997 -1.8005 -1.78844 -0.738575 1.57916 2.32954 -1.78844 -0.738575 -1.38738 -2.1401 -1.78844 -0.738575 -0.191783 -0.189442 -1.53412 0.644804 1.31787 -1.89325 -1.53412 0.644804 -1.05498 1.63089 -0.808514 -1.3014 -2.00274 0.0715363 -0.808514 -1.3014 1.83199 0.303103 -1.99839 0.75886 1.69564 -2.7439 -1.99839 0.75886 -1.53088 2.59852 -1.99839 0.75886 -0.164764 0.145387 --1.34852 0.620944 1.60929 -0.952754 --1.34852 0.620944 -1.33189 1.2808 -0.554382 -1.94459 -2.78065 1.09643 -0.147987 -1.58248 -1.77166 1.2466 -0.147987 -1.58248 1.3716 -1.18545 --0.800016 -0.145981 1.10122 0.142939 --1.51669 -1.74041 -1.01528 -3.4507 --1.51669 -1.74041 0.989714 3.26429 --0.494918 1.04389 0.509756 -0.404772 -1.45516 -1.15933 -2.12422 -1.20029 -1.38144 -1.18767 -2.14067 -1.03277 --0.972365 -1.50451 -0.235593 -2.52308 --0.972365 -1.50451 0.102595 2.23675 --1.32397 1.72907 0.592761 -3.04579 --1.90538 1.98498 -1.61945 4.33288 --1.90538 1.98498 1.61411 -4.20081 --0.854068 -1.47116 -0.0796793 -2.35881 --0.854068 -1.47116 -0.100348 2.0591 -1.20445 1.8126 -3.24071 0.208665 -1.20445 1.8126 3.15968 -0.402827 --0.134342 -1.54864 -1.3713 1.52543 -0.645146 1.15238 1.44218 -0.263819 -0.892235 1.13722 -1.79294 0.159516 -0.892235 1.13722 1.6875 -0.595684 --1.81446 -0.40984 2.52323 0.777764 --1.81446 -0.40984 -2.26397 -0.905328 --1.65472 0.22173 2.27246 -0.392333 --1.65472 0.22173 -1.92328 0.496728 --1.02332 0.599475 -0.832551 1.20726 --1.02332 0.599475 1.16004 -0.711309 --1.02332 0.599475 -0.327487 -0.495947 --1.55977 1.31956 -1.42978 2.65116 --1.55977 1.31956 1.4711 -2.41488 -1.78881 0.493542 1.10678 -2.3991 -1.78881 0.493542 -0.854643 2.25285 -0.750611 -1.11597 -1.68698 0.045248 -0.750611 -1.11597 1.51736 0.430691 -0.750611 -1.11597 0.169618 -0.475939 --0.81118 -1.41108 -0.0716717 -2.22744 --0.81118 -1.41108 -0.131231 1.90267 --1.96393 -1.2976 -2.28053 -2.85638 --1.96393 -1.2976 2.35155 2.69075 --1.96393 -1.2976 -0.0710192 0.165632 -1.14498 0.806257 1.40832 -1.19997 -1.14498 0.806257 -1.28179 0.696874 --1.59437 -1.47376 -1.39057 -2.98004 --1.59437 -1.47376 1.40808 2.76817 -1.3373 0.346064 0.783876 -1.63475 -1.3373 0.346064 -0.304667 1.42999 -1.3373 0.346064 -0.479209 0.204764 --1.01894 -1.69117 -0.131325 -2.88163 --1.01894 -1.69117 0.00924005 2.65451 --1.01894 -1.69117 0.122085 0.227113 -0.236939 1.71269 1.71899 1.20151 -0.236939 1.71269 0.329064 0.0880205 --0.321283 1.15854 0.287258 1.44012 --0.321283 1.15854 -0.797136 -1.16055 -1.9241 -1.29666 2.7804 2.30853 -1.9241 -1.29666 -2.71098 -2.13594 -0.647804 -1.75352 -2.57746 0.727211 -0.647804 -1.75352 2.36029 -0.537507 --0.6727 -0.901378 -0.305858 0.864112 --0.6727 -0.901378 0.58911 0.585616 --0.0363893 1.92963 -1.96923 -1.95031 --0.0363893 1.92963 1.70148 1.96306 --0.0363893 1.92963 0.267749 -0.0127483 --0.765348 1.23385 0.250482 -0.42804 -0.732494 -0.963287 0.143129 -0.557731 --1.81677 0.376092 2.53716 -0.713702 --1.81677 0.376092 -2.27167 0.832719 --1.62472 0.514809 2.13347 -0.907104 --1.62472 0.514809 -1.85953 1.10788 -0.864561 0.420493 0.801608 -0.998425 -0.864561 0.420493 -0.858566 0.136628 -0.864561 0.420493 0.0569583 0.861797 --0.362248 -0.881959 0.622913 0.36721 --1.20876 -1.77782 -0.383709 -3.22942 --1.20876 -1.77782 0.303326 3.02758 --1.20876 -1.77782 0.0803828 0.201837 --1.133 -1.31906 -0.655991 -2.3526 -0.762479 1.14748 -1.7395 -0.0452378 -0.762479 1.14748 1.56958 -0.412115 -0.762479 1.14748 0.169917 0.457353 -1.13722 0.667784 1.20572 -1.25643 -1.13722 0.667784 -0.983675 0.655446 -1.13722 0.667784 -0.222049 0.600985 --1.36742 -0.0565641 1.8175 0.0860098 --1.36742 -0.0565641 -1.20984 -0.180231 --1.36742 -0.0565641 -0.607663 0.0942211 -1.52808 1.79452 3.47382 -1.06328 -1.52808 1.79452 -3.50253 0.886019 --0.769532 0.173906 1.06833 -0.165524 --0.769532 0.173906 -0.562804 0.753874 --0.785528 1.10811 0.0276029 -1.21936 -1.89778 1.77527 3.79181 -1.86737 -1.89778 1.77527 -3.78211 1.71971 -1.1206 -0.789765 -0.123037 -0.525933 --0.623011 0.68634 -0.338685 1.19289 --0.124497 1.69581 -1.54826 -1.72064 --0.124497 1.69581 1.21144 1.77725 -1.12176 -1.72401 -2.99281 -0.132427 -1.12176 -1.72401 2.89837 0.347832 -1.6653 1.8399 3.70767 -1.30285 -1.6653 1.8399 -3.7239 1.14154 --0.664485 0.293647 0.954647 -0.251359 --0.664485 0.293647 -0.479911 0.843057 --0.0831968 0.973771 -0.942952 -0.815355 --0.0831968 0.973771 0.282921 1.07094 -0.762425 1.03775 1.43453 -0.523405 --1.27408 -1.49031 -0.76694 -2.7621 --1.27408 -1.49031 0.726708 2.50275 --0.405858 -1.06156 0.115395 -1.42653 --0.405858 -1.06156 -0.643072 1.07608 --1.29809 -1.15437 -1.04802 -2.18228 --1.29809 -1.15437 1.09368 1.85177 --1.76068 -1.36861 -1.80296 -2.88139 --1.76068 -1.36861 1.85326 2.68677 --1.77599 -0.251647 -2.18837 -0.56031 --1.71625 0.789601 2.1701 -1.46717 --1.71625 0.789601 -1.99012 1.67781 --1.71625 0.789601 -0.179975 -0.210645 -1.82483 -1.8707 3.93243 1.61629 -1.82483 -1.8707 -3.93617 -1.47005 -0.123582 -1.29631 -1.41919 0.953987 -0.123582 -1.29631 0.80443 -0.94162 -0.123582 -1.29631 0.61476 -0.0123668 -0.469702 1.08357 -1.47784 -0.392802 -0.469702 1.08357 1.15456 -0.183348 --0.403857 1.61448 0.726855 2.06284 --0.403857 1.61448 -1.03773 -1.89836 --1.97897 -0.0321824 -0.257315 0.00862788 -0.819459 0.707643 1.10141 -0.834199 -0.819459 0.707643 -1.14951 0.160777 --0.715582 -0.794611 -0.389237 -1.3508 --1.23916 -1.21142 -0.910781 -2.24457 --1.23916 -1.21142 0.924282 1.9073 --0.897583 1.50993 -0.110413 2.46107 --0.897583 1.50993 -0.0509072 -2.17595 -1.99227 -0.585529 1.33541 2.78387 -1.99227 -0.585529 -1.13921 -2.65917 -0.117974 -1.90846 -2.1614 1.7091 -0.117974 -1.90846 1.88848 -1.67798 -1.00663 -1.42266 -2.34613 -0.172786 -1.00663 -1.42266 2.24078 0.478462 -1.00663 -1.42266 0.105352 -0.305676 --1.32516 0.921379 -1.21121 1.79192 --1.32516 0.921379 1.35281 -1.4421 --0.0567449 -1.14582 -1.09376 0.963938 --0.0567449 -1.14582 0.479481 -1.13634 --0.879372 1.8818 0.318983 3.05663 --0.879372 1.8818 -0.468648 -2.87983 --0.879372 1.8818 0.149664 -0.176806 -1.34381 -0.859162 -1.44084 -1.10874 --0.186608 -1.86672 0.275803 0.05829 --0.371989 -1.92938 -1.44124 2.37821 --0.371989 -1.92938 1.20301 -2.47417 -1.65945 0.788941 -1.43452 1.832 -0.849241 -0.641527 1.04247 0.901324 -0.849241 -0.641527 -1.06759 -0.189479 -1.0527 -0.41487 0.838464 1.22335 -1.0527 -0.41487 -0.0994017 -0.972421 -1.57083 0.196488 -0.163459 1.93743 --1.72327 0.862094 -1.98117 1.82668 --1.72327 0.862094 2.14132 -1.61342 --0.436468 1.11556 -0.6227 -1.15943 -1.49896 1.49324 2.84553 -1.29486 -1.49896 1.49324 -2.8455 1.0723 -1.7984 0.238597 -0.32563 2.36891 -1.7984 0.238597 -0.291475 0.0750573 --1.78888 0.72833 2.34531 -1.38614 --1.78888 0.72833 -2.15593 1.57249 --1.25643 -1.84088 0.335303 3.2085 -0.383513 1.47197 -1.8903 -0.825133 -0.383513 1.47197 1.49334 0.595158 -1.12692 1.16538 1.94061 -0.920414 -1.12692 1.16538 -1.95992 0.550138 --1.29719 1.30749 -0.94761 2.45151 --1.29719 1.30749 0.948251 -2.15372 -1.85228 1.79558 3.79414 -1.74853 -1.85228 1.79558 -3.78962 1.59846 -0.907386 -0.139343 0.502095 1.07808 -0.907386 -0.139343 0.228005 -1.03008 --0.698385 1.71365 0.419359 2.56799 --0.698385 1.71365 -0.629359 -2.36755 -1.80693 -0.519577 1.16067 2.42871 -1.80693 -0.519577 -0.918252 -2.28055 --1.40332 1.92692 -0.60761 3.71518 --1.40332 1.92692 0.553372 -3.54736 -1.5888 1.49549 2.92897 -1.46908 -1.5888 1.49549 -2.91704 1.25986 -1.83359 -1.25903 -2.56848 -1.95616 --1.42818 -1.16614 -1.27446 -2.27911 --1.42818 -1.16614 1.33729 1.99156 -0.854675 -0.61622 0.02134 -0.728468 --1.27055 -1.26702 -0.92842 -2.36173 --1.27055 -1.26702 0.933268 2.04754 -0.397135 -0.072574 0.406189 0.646294 -1.7567 -1.67359 3.44323 1.65549 -1.7567 -1.67359 -3.43529 -1.486 -1.7567 -1.67359 -0.00793912 -0.169485 -0.988588 1.84697 -3.0934 -0.23516 -0.988588 1.84697 2.96826 0.0452079 -1.94938 -0.72853 1.61604 2.65359 -1.94938 -0.72853 -1.44035 -2.50206 -1.94938 -0.72853 -0.175689 -0.151528 -0.40033 0.579502 -0.955065 -0.212252 --0.580236 -0.913622 -0.409353 0.910389 -0.575982 0.883299 -1.30428 -0.162125 -0.575982 0.883299 1.10912 -0.473822 -0.575982 0.883299 0.195166 0.635947 --0.273088 1.97492 -1.66103 -2.32969 --0.273088 1.97492 1.42076 2.39858 --0.718619 -1.86397 0.56792 -2.83291 --0.718619 -1.86397 -0.753939 2.66663 --1.36147 -1.36926 -1.01989 -2.60894 --1.36147 -1.36926 1.02028 2.33879 --1.36147 -1.36926 -0.000396713 0.270147 --0.237547 -1.99064 -1.73879 2.30938 --0.237547 -1.99064 1.49862 -2.3688 -0.449339 -1.77839 -2.39524 1.06414 -0.449339 -1.77839 2.1302 -0.920224 -1.35948 0.708529 1.36049 -1.5764 -1.35948 0.708529 -1.10824 1.20383 --1.45015 1.82941 -0.798529 3.56693 --1.45015 1.82941 0.756527 -3.3878 -0.389945 1.92115 -2.54013 -1.32773 -0.389945 1.92115 2.29816 1.22573 --0.917045 1.3425 -0.291998 2.21829 --0.917045 1.3425 0.143204 -1.85782 -1.26848 -0.804949 -1.29763 -0.961748 -0.54361 1.29543 -1.79898 -0.453303 -0.54361 1.29543 1.47602 0.0551403 -0.817718 -1.92762 -3.05707 0.629334 -0.817718 -1.92762 2.89917 -0.464187 -1.62741 1.53647 3.04459 -1.51062 -1.62741 1.53647 -3.03373 1.31168 --1.08506 -1.55968 -0.373059 -2.71971 --1.08506 -1.55968 0.274384 2.45782 -0.92826 -1.80257 -2.95148 0.299886 -0.92826 -1.80257 2.81178 -0.101176 -0.92826 -1.80257 0.139704 -0.19871 --1.91382 1.25093 -2.19898 2.72602 --1.91382 1.25093 2.27603 -2.55132 -1.99905 -1.66196 3.63027 2.19174 -1.99905 -1.66196 -3.60344 -2.04625 -1.99905 -1.66196 -0.0268349 -0.145485 -1.72947 0.115939 0.384888 -2.3074 -1.72947 0.115939 -0.0606525 2.26663 -1.72947 0.115939 -0.324235 0.0407744 --0.619272 -1.11105 0.412165 0.454741 -1.39069 -1.91089 -3.61819 -0.489159 -1.39069 -1.91089 3.56338 0.659168 -0.921168 -0.449653 0.849407 1.05473 --1.21952 -0.444435 1.5066 0.618375 --1.21952 -0.444435 -1.12047 -0.986926 --1.21952 -0.444435 -0.386124 0.36855 --1.12806 -0.474275 1.36717 0.615649 --1.12806 -0.474275 -0.985434 -1.03889 --0.930331 1.80883 0.147408 2.98941 --0.930331 1.80883 -0.289494 -2.79354 --1.96628 1.06071 -2.41054 2.34197 --1.96628 1.06071 2.52038 -2.17523 --1.67497 -1.42789 -1.58636 -2.94545 --1.67497 -1.42789 1.61986 2.74158 --1.67497 -1.42789 -0.033494 0.203871 --1.6578 1.00662 -1.79356 2.09034 --1.6578 1.00662 1.91664 -1.85694 --0.72242 0.707194 0.798175 -0.570927 -1.16725 0.724079 1.29994 -1.27426 -1.16725 0.724079 -0.195034 0.532391 --1.46526 1.59157 -1.04289 3.11102 --1.46526 1.59157 1.02566 -2.89718 --0.784236 1.91932 0.526817 3.00619 --0.784236 1.91932 -0.693335 -2.84461 --0.949811 1.8565 0.16736 3.09413 --0.949811 1.8565 -0.303102 -2.90826 --0.238321 0.261625 -0.180561 0.705234 -1.96991 0.839337 1.8514 -2.6541 -1.96991 0.839337 -1.69937 2.49631 --1.43102 0.515973 -1.48613 1.09968 --1.75128 -1.30004 -1.82699 -2.73333 --1.75128 -1.30004 1.88859 2.53258 --1.75128 -1.30004 -0.0616046 0.20075 -1.23763 1.61048 -2.87642 0.453841 -1.23763 1.61048 2.81465 -0.686531 -1.23763 1.61048 0.0617744 0.232689 --1.63604 -1.103 -1.70495 -2.2706 --1.63604 -1.103 1.80252 2.03428 --0.188242 -0.0344118 0.578804 0.0365896 --0.188242 -0.0344118 -0.26097 -0.513334 --0.188242 -0.0344118 -0.317834 0.476744 -1.0348 0.512126 0.958354 -1.17547 -1.0348 0.512126 -0.825869 0.329681 -1.0348 0.512126 -0.132486 0.845793 -1.25169 -0.734767 1.35504 1.39541 -1.25169 -0.734767 -1.1336 -0.939532 --1.88157 0.564375 2.60199 -1.10272 --1.88157 0.564375 -2.38762 1.24642 -1.24571 0.730583 -1.12254 0.926099 --1.43706 -0.768128 -1.45983 -1.55871 --1.43706 -0.768128 1.66552 1.2563 --1.43706 -0.768128 -0.205692 0.302418 -1.10136 0.522774 0.992514 -1.25976 -1.10136 0.522774 -0.235568 0.852349 -1.10136 0.522774 -0.756946 0.407415 -1.78184 0.537385 1.18945 -2.37648 -1.78184 0.537385 -0.945634 2.21881 --1.21296 1.73189 -0.437119 3.14852 --1.21296 1.73189 0.359807 -2.93747 -1.07923 1.70052 -2.9098 0.0740686 -1.07923 1.70052 2.80651 -0.296439 --0.220007 -0.686082 0.000802616 -0.994759 --0.220007 -0.686082 -0.684843 0.659644 -1.97548 0.77683 1.7245 -2.68996 -1.97548 0.77683 -1.56089 2.53854 --0.315005 -1.20606 0.49119 0.260441 --1.45879 -1.15208 -1.33908 -2.27048 --1.45879 -1.15208 1.40974 1.99009 -1.94613 -1.68861 3.64394 2.05158 -1.94613 -1.68861 -3.6229 -1.90248 --0.211915 -1.98411 -1.7714 2.2656 --0.211915 -1.98411 1.52753 -2.31975 -0.378597 0.54452 -0.921545 -0.215207 -0.378597 0.54452 0.751825 -0.52833 -0.378597 0.54452 0.16972 0.743537 -0.205429 -1.44926 -1.67624 1.02472 -0.205429 -1.44926 1.19307 -0.912396 -0.205429 -1.44926 0.483165 -0.112322 -0.229215 1.65625 -1.96322 -1.23143 -0.229215 1.65625 1.60925 1.13824 -0.229215 1.65625 0.353969 0.0931961 --0.576952 -0.474764 -0.369758 -0.977315 --0.576952 -0.474764 0.843203 0.355776 -1.09215 -0.928841 1.55455 1.04814 -1.09215 -0.928841 -1.51102 -0.577417 --0.391265 -1.03435 0.106152 -1.38803 --0.391265 -1.03435 -0.651602 1.037 --0.835559 1.41227 -0.106946 2.25189 --0.835559 1.41227 -0.0840255 -1.92625 --0.809817 0.89048 -0.454305 1.51297 --0.809817 0.89048 0.635777 -0.774602 --0.809817 0.89048 -0.181472 -0.738366 -0.0958861 1.40091 -1.50045 -1.09603 -0.0958861 1.40091 0.981736 1.07477 -1.19143 -0.3522 0.777247 1.4194 -1.19143 -0.3522 -0.182561 -1.19178 --1.80705 -0.324974 2.5315 0.613676 --1.80705 -0.324974 -2.25375 -0.721287 -1.12287 0.497901 0.964981 -1.29603 -1.12287 0.497901 -0.260675 0.909693 -1.12287 0.497901 -0.704305 0.38634 --0.725519 1.45467 0.0961213 2.20824 --0.725519 1.45467 -0.333856 -1.91358 -1.37425 -0.930477 -0.127592 -0.345279 --1.76982 0.631766 2.35448 -1.18835 --1.76982 0.631766 -2.13865 1.36778 --1.72934 0.427749 2.35679 -0.785532 --1.72934 0.427749 -2.0814 0.936747 -1.77919 -1.23736 2.55956 2.04916 -1.77919 -1.23736 -2.48613 -1.84887 --0.925702 0.717733 -0.675347 1.34082 --0.925702 0.717733 0.952489 -0.765659 --1.29985 -0.649022 -0.269376 0.354331 --1.71528 -1.15732 -1.83532 -2.4205 --1.71528 -1.15732 1.92357 2.20509 --1.45842 -0.0460626 -1.45116 -0.118452 --0.503907 0.940116 -0.0763553 1.3827 --0.503907 0.940116 -0.497067 -0.946476 --0.503907 0.940116 0.573422 -0.436227 --0.118612 1.62473 1.11068 1.67694 --0.487185 -0.705512 -0.199847 -1.14871 -1.26674 -0.664731 1.25433 1.44824 -1.26674 -0.664731 -0.962736 -0.994345 -1.26674 -0.664731 -0.291592 -0.453891 --1.88383 0.830467 2.48288 -1.64172 --1.88383 0.830467 -2.32495 1.81506 --1.88383 0.830467 -0.157933 -0.173336 -0.13233 -1.68207 1.52489 -1.34177 --0.906258 0.947776 -0.550823 1.63941 --0.906258 0.947776 0.627572 -1.00333 --0.906258 0.947776 -0.0767498 -0.636083 -1.76793 -0.497172 -0.256253 -0.15174 -0.301721 0.621751 -0.945929 -0.30331 -0.301721 0.621751 0.769665 -0.454707 --1.89143 -1.97938 -1.59335 -4.30706 --1.89143 -1.97938 1.58735 4.17369 --0.833484 0.375133 1.07853 -0.371727 -0.277907 0.847526 -1.1164 -0.440774 --1.89545 -1.73505 -1.81924 -3.76676 --1.89545 -1.73505 1.83278 3.61583 --1.2897 1.10662 -1.06084 2.09451 --1.2897 1.10662 1.12202 -1.75203 -0.121826 1.77466 -1.9845 -1.52265 -0.121826 1.77466 1.66835 1.4843 -1.94786 -1.13118 2.44729 2.46308 -1.94786 -1.13118 -2.34963 -2.29122 -1.94786 -1.13118 -0.0976629 -0.17186 -1.80572 1.3126 2.73125 -2.05088 -1.80572 1.3126 -2.66993 1.85959 -1.80572 1.3126 -0.0613196 0.19129 -0.489291 1.81572 2.25172 0.902024 --0.600699 1.72891 -0.821444 -2.29341 -1.70533 -1.90975 3.89754 1.31736 -1.70533 -1.90975 -3.91479 -1.16599 -1.70533 -1.90975 0.0172542 -0.151373 -1.49239 0.430678 0.940514 -1.87447 -1.49239 0.430678 -0.575303 1.66711 -1.68831 0.827166 1.70824 -2.10261 -1.68831 0.827166 -1.53282 1.87616 -1.21618 0.4063 0.857524 -1.44666 -1.21618 0.4063 -0.28834 1.16848 -1.21618 0.4063 -0.569184 0.278177 -1.79667 -1.64757 3.42388 1.7636 -1.79667 -1.64757 -3.40964 -1.59608 -0.91779 1.10035 0.0856946 0.44713 -1.00625 1.52437 -2.52589 0.093216 -1.00625 1.52437 2.4117 -0.366558 -1.7103 1.34156 2.72018 -1.836 -1.7103 1.34156 -2.67066 1.63019 --1.07108 0.329376 1.35554 -0.406913 --1.07108 0.329376 -0.887052 0.849654 -0.022258 0.973274 -1.0348 -0.740427 -0.022258 0.973274 0.327943 0.974018 --0.443848 1.78752 0.897906 2.36059 --0.443848 1.78752 -1.15524 -2.22497 --0.612015 1.3505 0.148944 1.95091 --0.612015 1.3505 -0.462262 -1.63267 --1.67454 1.5911 -1.46366 3.28009 --1.67454 1.5911 1.47369 -3.09264 --1.67454 1.5911 -0.0100293 -0.187453 --1.91565 1.13648 -2.26458 2.48102 --1.91565 1.13648 2.36127 -2.30486 --1.63083 1.05391 -1.71872 2.17136 --1.63083 1.05391 1.82872 -1.93182 -0.405992 -0.0873291 0.298146 -0.685677 -0.405992 -0.0873291 -0.717185 0.0355354 --0.242711 -1.82905 1.24868 -2.1376 -1.24608 -1.09422 1.92039 1.16925 -1.24608 -1.09422 -1.8832 -0.811485 -0.800104 -1.69288 -2.63315 0.414166 -0.800104 -1.69288 2.45479 -0.191502 --1.88461 -1.01353 -2.25638 -2.20396 --1.88461 -1.01353 2.3765 2.02276 -0.853837 -0.443896 0.824432 0.980412 -0.853837 -0.443896 -0.878814 -0.137611 -0.853837 -0.443896 0.0543815 -0.842801 -1.70261 0.185097 0.516687 -2.26127 -1.70261 0.185097 -0.188202 2.19402 --0.489276 -0.279495 -0.351792 -0.799747 --0.489276 -0.279495 0.827188 0.213225 --0.489276 -0.279495 -0.475396 0.586522 --0.476937 -0.987371 -0.0148461 -1.41069 --0.476937 -0.987371 -0.534183 1.00096 --0.476937 -0.987371 0.54903 0.409727 -1.3325 1.84165 -3.4203 0.43635 -1.3325 1.84165 3.36014 -0.619678 -0.176029 -1.23555 -1.40824 0.839257 -0.176029 -1.23555 0.702216 -0.817605 -0.176029 -1.23555 0.706023 -0.0216521 -1.35465 -0.0611337 0.343204 1.64831 -1.35465 -0.0611337 0.152081 -1.61542 --1.64153 -0.0823974 2.26596 0.14468 --1.64153 -0.0823974 -1.88657 -0.187634 -1.8781 0.790016 1.71439 -2.48691 -1.8781 0.790016 -1.5444 2.31401 -1.8781 0.790016 -0.169983 0.172896 --0.603851 1.67419 0.516786 2.39588 --0.603851 1.67419 -0.75946 -2.19974 --1.74708 1.67856 -1.54485 3.52188 --1.74708 1.67856 1.55195 -3.35145 -1.89158 0.6209 1.38068 -2.57024 -1.89158 0.6209 -1.1755 2.42135 -1.89158 0.6209 -0.205186 0.148895 -0.595455 -1.74783 -2.51208 0.804605 -0.595455 -1.74783 2.27913 -0.621461 --1.83409 1.67516 -1.73412 3.58563 --1.83409 1.67516 1.74903 -3.42412 --1.99305 1.98287 1.82153 -4.28372 -0.166575 0.771854 -0.987085 -0.485472 -0.59531 1.24074 -1.76403 -0.341779 -0.59531 1.24074 1.48227 -0.090199 -0.59531 1.24074 0.28176 0.431978 --0.45657 1.3371 0.329861 1.7734 --0.45657 1.3371 -0.71477 -1.50223 -1.12314 -0.184405 -0.630826 -0.101322 --1.87963 0.432491 2.64319 -0.841069 --1.87963 0.432491 -2.40269 0.960933 --1.88679 1.70234 -1.82701 3.68764 --1.88679 1.70234 1.8431 -3.53354 -1.20939 0.462819 0.937319 -1.42583 -1.20939 0.462819 -0.369561 1.08134 -1.20939 0.462819 -0.567758 0.344491 -0.0460337 -0.924598 -1.01776 0.682899 -0.0460337 -0.924598 0.292649 -0.938024 -0.0460337 -0.924598 0.725108 0.255125 --1.95447 0.159096 2.84638 -0.316032 --1.95447 0.159096 -2.58799 0.359711 -0.798297 -1.92188 2.86295 -0.492313 --1.96104 1.48284 -2.15535 3.26083 --1.96104 1.48284 2.20069 -3.10179 --1.98733 0.19031 2.90848 -0.382331 --1.98733 0.19031 -2.66085 0.431499 --1.98733 0.19031 -0.247635 -0.0491678 -1.12197 1.76539 -3.07149 0.0943146 -1.12197 1.76539 2.97564 -0.300744 -1.24077 0.529434 -0.557208 1.03648 -1.89995 -1.81196 3.8749 1.83812 -1.89995 -1.81196 -3.86816 -1.6933 --1.39224 -0.636966 1.67131 1.00451 --1.39224 -0.636966 -1.40638 -1.3146 -1.91564 1.95537 -4.21319 1.60139 --1.17001 0.146425 1.52664 -0.195241 --1.17001 0.146425 -0.924739 0.565654 --1.17001 0.146425 -0.601903 -0.370413 -0.973606 1.93491 -3.24032 -0.35479 -0.973606 1.93491 3.11414 0.183173 -0.848044 1.32338 -2.06502 -0.0238417 -0.848044 1.32338 1.90966 -0.336602 -0.848044 1.32338 0.155362 0.360444 --1.02726 0.995879 0.754621 -1.26696 --0.908452 -1.22246 -0.375328 -2.0312 --0.908452 -1.22246 0.236124 1.59586 --0.908452 -1.22246 0.139204 0.435347 --0.917694 1.54176 -0.111693 2.53132 --0.917694 1.54176 -0.0417363 -2.25786 --1.3702 -1.23699 -1.12573 -2.37352 --1.3702 -1.23699 1.15956 2.08043 -0.00396976 1.95689 -2.06558 -1.9358 -0.00396976 1.95689 1.80447 1.93711 --1.15555 1.78417 -0.279079 3.18703 --0.796167 1.14264 0.0386512 -1.31506 --1.31084 -0.967565 -1.16696 -1.86539 --1.31084 -0.967565 1.28749 1.51265 --0.0456002 0.0474984 -0.101966 0.390958 --0.0456002 0.0474984 0.389199 -0.107358 --0.0456002 0.0474984 -0.287232 -0.2836 -0.0766044 1.72633 1.52586 1.49499 --1.71781 1.48974 -1.63024 3.10323 --1.71781 1.48974 1.65822 -2.91167 --1.3164 1.76904 0.535848 -3.12155 --1.46727 -0.807421 -1.50384 -1.63884 --1.46727 -0.807421 1.69275 1.34644 --1.46727 -0.807421 -0.188906 0.292402 -1.64143 -1.75214 3.49966 1.33962 -1.64143 -1.75214 -3.51115 -1.16684 -1.64143 -1.75214 0.0114834 -0.172783 -0.393824 -1.07219 -1.41343 0.471436 -1.27313 -1.64186 -2.96759 -0.496971 -1.27313 -1.64186 2.91036 0.720057 --1.69126 -1.97941 -1.15295 -4.11387 --1.69126 -1.97941 1.12994 3.96797 -1.10209 -0.624027 -0.216516 -0.680228 --1.3087 -1.54551 -0.784224 -2.89199 --1.3087 -1.54551 0.744122 2.64971 --1.46951 1.07909 -1.39793 2.14056 --1.46951 1.07909 1.49158 -1.8561 --1.46951 1.07909 -0.0936558 -0.284462 --1.59296 -0.5274 2.07129 0.916471 -0.929372 -1.84448 -3.02812 0.340656 -0.929372 -1.84448 2.88991 -0.151563 --1.28756 0.176541 -1.13285 0.517893 --0.614555 1.96645 0.869981 2.8675 --0.614555 1.96645 -1.06304 -2.73468 -1.19555 1.74444 -3.09964 0.255072 -1.19555 1.74444 3.01985 -0.462849 -1.49201 -1.80975 3.46759 0.97394 -1.49201 -1.80975 -3.50222 -0.795961 -1.27326 -1.1609 2.05208 1.16367 -1.27326 -1.1609 -2.02763 -0.831274 -0.206918 -1.74591 1.73565 -1.29928 --1.32819 0.358885 1.69951 -0.535766 --1.32819 0.358885 -1.28622 0.826102 --1.32819 0.358885 -0.413285 -0.290335 --0.882394 -1.85261 0.279687 -3.00998 --0.882394 -1.85261 -0.430498 2.82662 -1.56483 -0.377864 -0.510305 -1.84226 -0.580357 1.76656 -2.52515 -0.848885 -0.580357 1.76656 2.29127 0.673612 -0.913088 -0.997352 1.51671 0.748398 -0.913088 -0.997352 -1.57882 -0.252218 -0.365922 1.399 -1.77859 -0.776296 -0.365922 1.399 1.32892 0.507651 -0.365922 1.399 0.449667 0.268645 -1.83901 -1.60698 3.37416 1.88925 -1.83901 -1.60698 -3.352 -1.72316 -1.67126 -1.74695 3.51774 1.40697 -1.67126 -1.74695 -3.52551 -1.23635 -0.133576 1.66292 -1.85456 -1.36343 -0.133576 1.66292 1.49359 1.3144 -1.67056 -0.706892 1.47648 2.1174 -1.67056 -0.706892 -1.26043 -1.89715 -0.309014 1.85832 -2.34336 -1.36955 -0.309014 1.85832 2.0733 1.27872 -1.26979 1.14626 -0.0276959 0.33704 -0.539764 -1.53375 -2.12986 0.669148 -0.539764 -1.53375 1.83476 -0.418773 --1.58117 0.259338 2.13652 -0.443865 --1.58117 0.259338 -1.76742 0.583215 --1.95614 1.76717 -0.014723 -0.143211 -0.773264 -1.80895 2.62526 -0.389108 --1.14774 -1.85374 -0.191917 -3.30692 --1.14774 -1.85374 0.0972694 3.11838 --1.65111 0.0976307 2.28174 -0.17219 --1.65111 0.0976307 -1.90886 0.221642 --1.65111 0.0976307 -0.372877 -0.0494525 -1.45046 -0.884832 1.69786 1.64546 -1.45046 -0.884832 -1.54174 -1.32879 --1.99205 -0.0985377 -2.67477 -0.223836 -0.978619 1.33042 -2.16571 0.189021 -0.978619 1.33042 2.06184 -0.530417 -1.74299 -1.91342 3.94396 1.39501 -1.74299 -1.91342 -3.95791 -1.24656 --0.412359 -1.47818 0.545414 -1.89546 --0.412359 -1.47818 -0.896252 1.68951 --1.96213 -0.860008 2.62976 1.74544 --1.96213 -0.860008 -2.48297 -1.90509 -0.740408 1.83659 -2.81449 -0.663337 -0.740408 1.83659 2.63148 0.484421 -0.290189 1.18646 -1.45883 -0.673532 -0.290189 1.18646 0.905774 0.0435899 -0.290189 1.18646 0.553056 0.629942 --0.349246 1.07505 0.180959 1.38918 --0.349246 1.07505 -0.719269 -1.06994 --0.349246 1.07505 0.538311 -0.319245 -0.393022 1.72795 -2.25538 -1.08889 -0.393022 1.72795 1.96271 0.948525 -0.393022 1.72795 0.292671 0.140361 --0.777544 -1.07616 -0.299411 -1.73197 --0.777544 -1.07616 0.0110838 1.12686 --0.777544 -1.07616 0.288328 0.605111 --1.09076 1.82749 -0.115617 3.198 --1.09076 1.82749 0.0097052 -3.00355 --1.01917 -0.769695 -0.785108 -1.4415 --1.01917 -0.769695 1.01109 0.918699 --0.625537 -0.793594 -0.290928 -1.30495 --0.625537 -0.793594 -0.395623 0.779697 --0.625537 -0.793594 0.686551 0.525253 --1.99258 -0.052746 2.93014 0.106056 --1.99258 -0.052746 -2.6768 -0.119867 --0.0482566 -0.841847 -0.887775 0.683 --0.0482566 -0.841847 0.193817 -0.978888 -1.74884 0.565102 -0.990391 2.13526 -1.38313 1.14811 2.11302 -1.36243 -1.38313 1.14811 -2.0611 1.05824 --0.837605 -0.345552 1.09284 0.344821 --0.837605 -0.345552 -0.629701 -0.897584 --0.837605 -0.345552 -0.463136 0.552763 --1.99226 1.84014 1.9579 -3.94829 -1.4851 -1.02272 1.9598 1.62734 -1.4851 -1.02272 -1.85361 -1.33634 -1.20887 -0.484787 0.968801 1.41994 -1.20887 -0.484787 -0.406655 -1.04474 -1.20887 -0.484787 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2.31283 1.72707 -1.16209 1.7192 -3.02046 0.213595 -1.16209 1.7192 2.935 -0.428254 --0.436463 -0.587546 -0.209724 -1.02353 -1.44661 -1.44136 2.69965 1.24063 -1.44661 -1.44136 -2.69991 -1.00196 --1.08339 1.35913 -0.542679 2.38076 --1.08339 1.35913 0.467221 -2.05088 --1.56483 1.29352 -1.45647 2.6036 --1.56483 1.29352 1.50382 -2.36548 --0.19575 1.09514 0.579074 -0.24828 -1.71195 0.13854 0.428976 -2.27615 -1.71195 0.13854 -0.0999902 2.22629 --1.54896 1.37567 -1.37094 2.75354 --1.54896 1.37567 1.39985 -2.52183 -0.980523 0.894021 1.42991 -0.915734 -0.980523 0.894021 -1.42824 0.387703 -0.980523 0.894021 -0.00166925 0.528031 -0.879785 1.86505 -3.01324 -0.451217 -0.879785 1.86505 2.86479 0.268754 -0.879785 1.86505 0.148443 0.182463 -0.545988 0.15961 0.497666 -0.746982 -0.199103 -1.88106 0.275923 -0.0565157 --0.723671 -1.12528 -0.130131 1.2466 --0.723671 -1.12528 0.32378 0.50993 --1.75554 -0.758096 2.26421 1.42727 --1.75554 -0.758096 -2.07914 -1.6249 --1.75554 -0.758096 -0.185072 0.19762 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3.70416 -0.147034 1.22753 -1.37219 -0.861243 -0.147034 1.22753 0.683117 0.871518 -0.147034 1.22753 0.689069 -0.0102752 --0.326067 -1.68285 -1.23194 1.92615 --0.326067 -1.68285 0.923476 -2.05205 -1.89117 0.983679 2.1115 -2.42645 -1.89117 0.983679 -1.98473 2.24524 --0.79379 1.5474 0.0886781 2.41605 --0.79379 1.5474 -0.287595 -2.15087 --1.89849 -0.873289 2.48953 1.7382 --1.89849 -0.873289 -2.34147 -1.9112 --0.502845 1.92228 0.99008 2.64618 --0.502845 1.92228 -1.20941 -2.52349 --0.298934 -1.76529 -1.36587 2.02555 --0.298934 -1.76529 1.07636 -2.12847 --0.285397 0.622822 -0.0763803 0.98324 --0.285397 0.622822 -0.621559 -0.644753 --0.285397 0.622822 0.697939 -0.338487 --1.37306 1.81835 -0.656841 3.46996 --1.37306 1.81835 0.603844 -3.28415 --0.594284 -1.67688 0.534263 -2.3884 --0.594284 -1.67688 -0.779093 2.19481 -0.501697 1.61409 -2.20891 -0.805428 -0.501697 1.61409 1.91699 0.598205 -0.260632 -1.18463 -1.43155 0.703904 -0.260632 -1.18463 0.576353 -0.676391 -0.260632 -1.18463 0.855199 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0.03058 -0.349828 --1.44658 1.70599 -0.906885 3.31887 --1.44658 1.70599 0.874248 -3.12096 -0.622751 1.10499 -1.59996 -0.215734 -0.622751 1.10499 1.36317 -0.295348 --1.06127 1.28237 -0.56588 2.23868 --1.06127 1.28237 0.497841 -1.87299 -0.204955 -0.270954 0.533022 0.463498 -0.204955 -0.270954 0.146546 -0.66308 --0.164306 1.34408 -1.13396 -1.28347 --0.164306 1.34408 0.65329 1.43067 --0.164306 1.34408 0.48067 -0.1472 -1.41421 -1.71171 3.19084 0.919543 -1.41421 -1.71171 -3.22905 -0.721096 --1.2639 0.766594 -1.16046 1.50982 --1.2639 0.766594 1.37445 -1.12957 --1.2639 0.766594 -0.213996 -0.380253 -1.52236 -0.86242 -1.52714 -1.49567 -1.37416 -0.102052 0.403818 1.68593 -1.37416 -0.102052 0.0797339 -1.63148 -0.855219 1.43433 -2.25111 -0.0941361 -0.855219 1.43433 2.08987 -0.219564 --0.609908 1.7562 0.607486 2.52737 --0.609908 1.7562 -0.833956 -2.35165 -0.341135 -1.91395 -2.46701 1.3928 -0.341135 -1.91395 2.21613 -1.30137 --0.658851 -0.53135 -0.428744 -1.05243 --0.658851 -0.53135 -0.442396 0.628919 -0.670734 0.20326 0.550981 -0.846157 --1.60239 0.414031 2.13105 -0.719112 --1.60239 0.414031 -1.8191 0.903365 -0.241461 -1.77577 -2.1402 1.36169 -0.241461 -1.77577 1.83507 -1.28061 --1.00307 -1.71657 -0.0485684 2.68861 --1.69874 -1.10251 -1.83021 -2.30115 --1.69874 -1.10251 1.93026 2.08001 --1.93907 0.397696 2.77095 -0.788823 --1.93907 0.397696 -2.53691 0.891358 -1.83477 -1.85542 0.00176202 -0.146724 --1.08809 1.15904 0.679269 -1.65108 -1.11306 -1.3302 2.19568 0.748711 -1.11306 -1.3302 -2.25416 -0.428142 -1.11306 -1.3302 0.0584767 -0.320569 -1.32809 -1.1132 2.01246 1.2926 -1.32809 -1.1132 -1.96127 -0.965121 -1.14018 0.751424 1.32636 -1.22182 -1.14018 0.751424 -1.16805 0.685627 -1.14018 0.751424 -0.15831 0.53619 -1.63427 -0.93408 -0.143307 -0.246651 --1.44472 -1.39196 -1.15881 -2.7114 --1.44472 -1.39196 1.16964 2.46202 -1.7817 1.8764 3.90238 -1.51637 -1.7817 1.8764 -3.91021 1.36737 -1.7817 1.8764 0.00782852 0.148994 --1.98911 -1.40369 -2.27014 -3.10501 --1.98911 -1.40369 2.32692 2.94627 --0.925054 0.860602 -0.168633 -0.608103 --1.03801 -1.90623 0.0665842 -3.28261 --1.03801 -1.90623 -0.182669 3.10453 -1.41113 -1.82379 -3.45735 -0.614204 -1.41113 -1.82379 3.41033 0.795736 -1.03049 -0.76214 1.28397 1.06371 -1.03049 -0.76214 -1.2048 -0.47554 -1.03049 -0.76214 -0.0791665 -0.588173 -0.234067 -1.33643 -1.57459 0.874182 -0.234067 -1.33643 0.970287 -0.717292 --1.52181 1.20837 -1.42557 2.41279 --1.52181 1.20837 1.48803 -2.15553 -0.998259 0.053525 0.400894 -1.16953 -0.998259 0.053525 0.283551 1.14615 -1.23427 -1.65005 -2.95056 -0.413933 -1.23427 -1.65005 2.88475 0.638568 --1.68065 0.97833 -1.85118 2.04392 --1.68065 0.97833 1.98181 -1.81643 --0.602082 -1.47532 0.292009 -2.10858 --0.602082 -1.47532 -0.576932 1.84688 -0.938229 1.30501 -2.09563 0.137087 -0.938229 1.30501 1.97995 -0.493848 -0.0960161 1.81925 -2.00935 -1.61672 -0.0960161 1.81925 1.7078 1.58918 --0.378469 -1.26024 0.335706 -1.60242 --0.378469 -1.26024 -0.780951 1.3338 --0.378469 -1.26024 0.445245 0.268616 --0.481477 1.42651 -0.74211 -1.66467 -0.316599 -1.03093 -1.31528 0.524313 -0.316599 -1.03093 0.940369 0.177719 -0.316599 -1.03093 0.374907 -0.702032 -0.709583 1.21911 -1.81207 -0.166097 -0.709583 1.21911 1.60178 -0.262685 -0.709583 1.21911 0.210293 0.428782 -0.603087 -1.25219 -1.78534 0.339433 -0.603087 -1.25219 1.50728 0.084038 --0.421834 -1.95282 -1.38581 2.47865 --0.421834 -1.95282 1.15943 -2.58141 -0.409292 -1.72476 0.289591 -0.14608 -1.6665 0.17964 0.508113 -2.19415 -1.6665 0.17964 -0.165851 2.12546 -1.6665 0.17964 -0.342262 0.0686883 -1.16657 0.336675 -0.137527 1.17383 -1.44349 -0.784279 -1.31823 -1.35963 -1.44349 -0.784279 -0.204095 -0.323232 --1.09043 1.47968 -0.453998 2.5881 --1.09043 1.47968 0.363968 -2.30175 -0.180094 -0.120447 0.400966 0.454322 -0.180094 -0.120447 -0.589059 0.111613 -0.180094 -0.120447 0.188093 -0.565935 --0.184548 -0.844183 -0.780826 0.760796 --0.184548 -0.844183 0.120462 -1.07631 --0.184548 -0.844183 0.660363 0.315516 --0.25187 -1.75453 -1.42682 1.95491 --0.25187 -1.75453 1.12674 -2.04588 -0.196642 1.57427 -1.81909 -1.17637 -0.196642 1.57427 1.41926 1.08752 -1.66828 -1.11959 2.25426 1.90727 -1.66828 -1.11959 -2.16149 -1.67648 -1.62955 -0.791786 1.61707 2.00857 -1.62955 -0.791786 -1.4258 -1.76505 -1.74841 0.561913 1.22831 -2.30694 -1.80602 -0.0981146 0.343742 2.4533 -1.80602 -0.0981146 -0.0439763 -2.42229 -0.708719 1.01302 1.35483 -0.485539 --1.13427 -1.09086 -0.810615 -1.97985 --1.13427 -1.09086 0.842295 1.56774 -0.160445 -1.31046 -1.4719 0.929588 -0.160445 -1.31046 0.85405 -0.874969 -1.29629 -0.641388 1.22967 1.50257 -1.29629 -0.641388 -0.914549 -1.0815 -1.29629 -0.641388 -0.31512 -0.421065 -1.22294 0.650235 1.2153 -1.38791 -1.22294 0.650235 -0.91282 0.878163 -1.22294 0.650235 -0.30248 0.50975 -1.75028 0.0644013 0.284307 -2.34166 -1.75028 0.0644013 0.0349974 2.3196 -1.75028 0.0644013 -0.319304 0.0220532 --0.740433 1.78336 -0.625081 -2.5407 --1.81646 -0.612419 -2.23999 -1.33652 -0.686881 1.45622 -2.14839 -0.379231 -0.686881 1.45622 1.91405 0.0733829 -0.18751 -0.860799 -1.07048 0.525737 --1.03396 1.73315 -0.00434081 -2.75379 -0.00594488 1.69934 1.38783 1.57599 -0.409513 1.39462 -1.81428 -0.716217 -0.409513 1.39462 1.39784 0.421026 -0.409513 1.39462 0.416433 0.295191 --0.522739 1.97075 1.02479 2.75047 --0.522739 1.97075 -1.23254 -2.63236 -1.79578 0.726138 1.55767 -2.34825 -1.79578 0.726138 -1.3635 2.16221 -0.0724472 1.36619 -1.4372 -1.08226 -0.0724472 1.36619 0.89766 1.08653 -1.53246 -1.28794 2.4804 1.52994 -1.53246 -1.28794 -2.43938 -1.28417 -0.0156417 0.177787 -0.497928 -0.269574 -0.0156417 0.177787 0.0197407 0.562 -0.0156417 0.177787 0.478187 -0.292425 --1.36058 0.350384 -1.3424 0.803542 -0.983953 -0.724726 1.21004 1.02253 -0.983953 -0.724726 -1.1512 -0.390752 -0.284554 1.26479 0.720127 0.518794 -0.284554 1.26479 0.820969 0.229852 --1.57437 -0.944928 -1.65673 -1.9348 --1.57437 -0.944928 1.79675 1.67709 -0.895209 1.33566 0.136861 0.350008 -1.70206 0.648703 1.37872 -2.1955 -1.70206 0.648703 -1.1491 1.99439 -0.204663 -1.25628 0.747592 -0.757418 -0.204663 -1.25628 0.70979 -0.0714166 --1.83994 -0.309904 2.59783 0.59233 --1.83994 -0.309904 -2.32631 -0.69012 --1.73492 -1.85649 1.35346 3.73636 --1.49234 -1.12975 -1.41407 -2.24716 --1.49234 -1.12975 1.49464 1.97408 --1.49234 -1.12975 -0.0805697 0.273076 --1.99238 -0.411563 2.87489 0.83111 --1.99238 -0.411563 -2.65353 -0.928454 -1.13279 0.981907 1.66122 -1.07188 -1.13279 0.981907 -1.62143 0.638581 -1.81808 -0.759591 1.63113 2.37955 -1.81808 -0.759591 -1.44801 -2.19539 -0.536632 -0.345692 0.648547 0.704704 --1.09782 -1.64157 0.218009 2.63566 --1.09782 -1.64157 0.0998059 0.238195 --1.66194 1.27545 -1.66006 2.62842 --1.66194 1.27545 1.72017 -2.40884 -0.0692781 -0.782534 -0.932542 0.563 --1.21067 -0.532131 -1.11044 -1.12464 -1.91468 0.526208 1.19673 -2.63976 -1.91468 0.526208 -0.977203 2.51158 --1.08374 -1.76918 -0.164617 -3.08561 --1.08374 -1.76918 0.0576919 2.87834 --0.351913 -1.49607 0.642948 -1.84311 --0.351913 -1.49607 -1.00587 1.66321 -0.300445 0.110066 0.254598 0.629985 -1.8649 -1.49296 3.15256 2.03849 -1.8649 -1.49296 -3.1146 -1.86743 --0.648665 1.50879 0.262891 2.2059 --0.648665 1.50879 -0.522593 -1.94696 --0.648665 1.50879 0.259702 -0.258931 -1.21643 -0.351943 -0.572842 -0.227133 -0.835533 -0.992046 0.0986981 -0.51845 -0.572533 -1.33567 -1.87725 0.44594 -0.572533 -1.33567 1.57432 -0.0764 -0.630325 -0.702635 0.989792 0.646482 -0.630325 -0.702635 -1.12701 0.0479096 -0.630325 -0.702635 0.137223 -0.694391 -0.159181 1.25231 0.732771 0.853723 --0.940602 -0.56512 -0.359152 0.533948 -1.59095 -0.152166 0.463149 2.05581 -1.59095 -0.152166 -0.0881722 -1.99126 --1.26507 0.515938 1.5382 -0.744118 --1.26507 0.515938 -1.19754 1.099 --1.74343 1.0492 -1.94646 2.21466 --1.74343 1.0492 2.0598 -2.00288 --1.74343 1.0492 -0.113341 -0.211784 --1.39576 -0.168656 -0.502845 0.173431 --0.433883 0.78438 -0.109803 1.19069 --0.433883 0.78438 -0.555347 -0.788476 --0.433883 0.78438 0.66515 -0.402215 --0.0243902 -1.97462 -2.04791 2.00083 --0.0243902 -1.97462 1.79186 -2.00933 --0.249958 1.50831 -1.16836 -1.58562 --0.249958 1.50831 0.782673 1.72442 --0.954507 1.76888 0.0616943 2.94739 --0.954507 1.76888 -0.199384 -2.74102 --0.6482 -1.29129 -0.357019 1.54835 -1.41732 -0.282817 -0.247068 -1.61492 --1.95311 1.70665 -1.97031 3.75085 --1.95311 1.70665 1.99042 -3.60351 -1.65429 1.22669 2.4524 -1.80874 -1.65429 1.22669 -2.38523 1.58238 --1.90984 -1.8547 -1.74869 -4.04466 --1.90984 -1.8547 1.75294 3.90353 -1.24997 0.796759 -1.275 0.922776 -0.326441 -1.50177 -1.87068 0.93037 -0.326441 -1.50177 1.46214 -0.746314 -1.80429 1.38624 2.88192 -1.99397 -1.80429 1.38624 -2.83273 1.80711 --1.48991 0.215599 1.99184 -0.352064 --1.48991 0.215599 -1.56567 0.504132 --0.174799 -0.452776 0.675254 0.303428 -1.06528 -1.41495 0.0856489 -0.301413 -1.21867 -0.319212 0.733444 1.46124 -1.21867 -0.319212 -0.161421 -1.26126 -1.02092 1.31821 -2.17246 0.270675 -1.02092 1.31821 2.08562 -0.610217 -1.02092 1.31821 0.0868403 0.339542 --1.76217 -0.423925 2.4195 0.788744 --1.76217 -0.423925 -2.15106 -0.931088 --1.62373 -0.62514 2.08223 1.10724 --1.62373 -0.62514 -1.84356 -1.32749 --1.62373 -0.62514 -0.238664 0.220246 -1.28267 1.39663 -2.49438 0.704794 -0.492094 1.52332 -2.06833 -0.727446 -0.492094 1.52332 1.74786 0.48376 --0.252338 -1.904 -1.60504 2.18946 --0.252338 -1.904 1.34587 -2.26105 --0.647888 1.96167 0.808785 2.90361 --0.647888 1.96167 -0.996603 -2.76544 -1.13164 1.23148 2.05079 -0.87059 -1.13164 1.23148 -2.08425 0.522852 --1.39877 -1.81867 -0.706987 -3.49574 --1.39877 -1.81867 0.658018 3.31161 --0.308913 1.90651 -1.51716 -2.26334 --0.308913 1.90651 1.26538 2.34828 -0.285364 -1.73772 -2.14156 1.25355 -0.285364 -1.73772 1.82961 -1.15128 --1.07068 1.80937 -0.0987776 3.14384 --1.07068 1.80937 -0.0113653 -2.94543 -0.897265 -0.694045 1.1271 0.931087 -0.897265 -0.694045 -1.12438 -0.258551 -0.897265 -0.694045 -0.00272477 -0.672537 -1.19689 0.213294 0.583989 -1.43398 -1.19689 0.213294 0.00246568 1.30989 --1.32857 1.67388 -0.708244 3.14962 --1.32857 1.67388 0.65827 -2.93531 --0.494865 0.347822 -0.337964 0.851397 --0.494865 0.347822 0.822749 -0.258853 --0.494865 0.347822 -0.484785 -0.592544 --0.690132 0.625713 -0.407897 -0.656964 --1.9228 1.63976 -1.95599 3.57855 --1.9228 1.63976 1.98095 -3.4239 --1.39309 0.034455 1.85775 -0.0531925 --1.39309 0.034455 -1.27253 0.102736 -0.599772 1.38472 -1.96892 -0.447853 -0.599772 1.38472 1.68492 0.108347 -1.01591 -1.67701 -2.80881 0.0210439 -1.01591 -1.67701 2.6906 0.209023 --1.15553 1.4444 0.0650122 -0.28916 -1.70681 0.963019 1.97545 -2.07216 -1.70681 0.963019 -1.84064 1.8469 -1.36591 1.17411 2.14584 -1.3129 -1.36591 1.17411 -2.10443 1.00891 --1.00976 -1.40163 -0.387679 -2.38961 --1.00976 -1.40163 0.276621 2.06575 -1.92735 -1.70444 3.66241 1.99631 -1.92735 -1.70444 -3.64413 -1.84643 --0.766682 -0.24167 1.05389 0.228067 --0.766682 -0.24167 -0.564156 -0.806174 -1.63368 -1.11768 2.22858 1.84214 -1.63368 -1.11768 -2.13752 -1.60262 --0.171578 1.25167 0.521097 -0.181568 --0.789317 1.94945 0.555498 3.06377 --0.789317 1.94945 -0.718258 -2.90766 --0.789317 1.94945 0.16276 -0.156109 -1.45567 -0.312236 0.738919 1.8262 -1.45567 -0.312236 -0.323262 -1.66752 -1.45567 -0.312236 -0.415657 -0.158675 --0.814875 -1.31732 -0.161651 -2.09349 --0.814875 -1.31732 -0.045502 1.71734 --1.21927 -0.16833 1.59024 0.232604 --1.21927 -0.16833 -1.01198 -0.556935 -1.39218 1.79506 -3.3807 0.601592 -1.39218 1.79506 3.33268 -0.788701 -1.60121 1.06072 2.1006 -1.81644 -1.60121 1.06072 -1.99644 1.56443 -0.36462 -1.41313 -1.79531 0.791601 -0.36462 -1.41313 1.35349 -0.534619 -0.36462 -1.41313 0.44182 -0.256982 --0.448347 -0.703426 -0.166395 -1.12745 --1.17419 -0.0769843 1.53983 0.10293 --1.17419 -0.0769843 -0.864134 -0.477182 --1.17419 -0.0769843 -0.675698 0.374252 --1.50258 -0.71966 1.81204 1.21213 --1.50258 -0.71966 -1.59218 -1.48564 -1.57868 1.88167 3.70662 -1.0776 -1.57868 1.88167 -3.73543 0.914671 -1.52071 -0.943015 -1.70101 -1.45256 -1.52071 -0.943015 -0.137095 -0.285009 -1.72175 1.46984 2.98912 -1.75859 -1.72175 1.46984 -2.95914 1.56594 -1.72175 1.46984 -0.0299756 0.192656 --1.14535 -1.0127 0.946284 1.43455 --1.26321 -0.90406 -1.113 -1.73768 --1.26321 -0.90406 1.25903 1.35838 -0.366977 -1.73256 -2.23168 1.13187 -0.366977 -1.73256 1.93433 -1.00077 --0.298664 1.3216 -0.936948 -1.36384 --0.298664 1.3216 0.489627 1.57753 --0.905467 1.36123 0.102385 -1.88565 -1.94254 -0.137491 0.413558 2.72895 -1.94254 -0.137491 -0.154467 -2.69322 -0.20308 1.75408 -2.06197 -1.38702 -0.20308 1.75408 1.74451 1.31714 -1.52679 -1.0666 2.06511 1.67518 --0.368682 1.88001 -1.38713 -2.29219 --0.368682 1.88001 1.1376 2.3946 -1.41113 -1.25316 2.32152 1.33247 -1.41113 -1.25316 -2.29146 -1.05459 -0.00139607 -1.93919 -2.03766 1.91339 -0.00139607 -1.93919 1.7718 -1.91558 --1.53443 0.22301 -0.401594 -0.138779 -0.437531 0.219766 0.527436 -0.650829 --1.57348 1.23126 -1.5117 2.48755 --1.57348 1.23126 1.5738 -2.24503 -1.89383 1.22684 2.61385 -2.29134 -1.89383 1.22684 -2.53387 2.11151 -1.94686 1.02636 2.22805 -2.51906 -1.94686 1.02636 -2.11111 2.34794 -1.34649 1.74526 -3.23782 0.55344 -1.34649 1.74526 3.18589 -0.75176 -1.60189 -0.498648 1.07863 2.05188 -1.60189 -0.498648 -0.777462 -1.85495 -1.27753 1.56716 2.77531 -0.805011 -1.27753 1.56716 -2.82438 0.567136 -0.252094 -1.1459 -1.38346 0.679902 -0.252094 -1.1459 0.524822 -0.713554 -0.252094 -1.1459 0.858639 0.0336522 --0.442797 1.17976 -0.641927 -1.25374 -1.51121 1.37397 2.62682 -1.42094 -1.51121 1.37397 -2.60555 1.18289 -1.18472 0.456619 -0.321449 1.05237 -1.4056 0.0737967 0.353689 -1.73132 -1.4056 0.0737967 0.114164 1.693 --1.57508 -1.37442 -1.42308 -2.76905 --1.57508 -1.37442 1.45537 2.54212 --1.94508 1.11938 -2.33654 2.45893 --1.94508 1.11938 2.43629 -2.28794 -0.997589 -0.844443 1.37482 0.971276 -0.997589 -0.844443 -1.34719 -0.421965 --1.92356 0.7199 2.62035 -1.43495 --1.92356 0.7199 -2.44305 1.59045 -0.402224 -1.64361 1.82724 -0.813675 -0.378248 -1.85468 -2.42464 1.26238 -0.378248 -1.85468 2.1646 -1.15232 --0.802329 0.673272 0.880211 -0.614371 -0.882941 -1.75757 -2.82619 0.335331 -0.882941 -1.75757 2.67386 -0.126878 --0.729621 -0.914929 -0.342102 -1.4989 --0.729621 -0.914929 -0.231187 0.841266 --0.729621 -0.914929 0.573289 0.657629 --0.888749 1.24287 -0.330609 2.04606 --0.888749 1.24287 0.174118 -1.62215 -0.0838645 -1.24129 0.686343 -0.985873 --0.667272 0.727599 -0.366774 1.25482 -1.89506 0.191679 0.524594 -2.63433 -1.89506 0.191679 -0.256409 2.58143 --1.06953 -1.32416 -0.547423 -2.31259 --1.06953 -1.32416 0.473336 1.96628 --1.25048 -0.885184 -0.154624 0.386545 --1.44035 1.50191 -1.06751 2.91752 --1.44035 1.50191 1.05864 -2.68565 -1.80435 -1.03508 2.16912 2.22418 -1.80435 -1.03508 -2.05243 -2.02329 -1.99905 1.37041 2.99007 -2.41795 -1.99905 1.37041 -2.92891 2.2589 --0.914659 -1.61066 -0.0381749 -2.64003 --0.914659 -1.61066 -0.115094 2.39011 -1.78888 -0.330486 0.793735 2.42155 -1.78888 -0.330486 -0.511366 -2.3181 -1.71645 -1.82293 3.72254 1.42854 -1.71645 -1.82293 -3.73225 -1.26954 -0.346053 1.24763 1.03775 0.186623 --0.816472 -0.233055 1.10273 0.230247 --0.816472 -0.233055 -0.604645 -0.796189 --0.816472 -0.233055 -0.498087 0.565942 --0.576457 0.710569 -0.281576 1.19631 --0.576457 0.710569 0.732072 -0.46651 --0.260737 -1.39502 -1.04948 1.43497 --0.260737 -1.39502 0.620813 -1.60937 --0.180243 -0.434634 -0.0793952 -0.809818 --0.180243 -0.434634 -0.594619 0.512259 --1.17126 0.752322 -1.01582 1.46166 --1.17126 0.752322 1.24125 -1.03304 -1.87193 -1.46326 3.09503 2.07673 -1.87193 -1.46326 -3.05266 -1.9047 -0.931635 -0.501837 0.913553 1.05164 --1.14161 0.605389 -0.308953 -0.431852 --0.693159 1.38818 0.0761997 2.08177 --0.693159 1.38818 -0.340629 -1.76183 --0.693159 1.38818 0.264429 -0.319947 --1.68651 -1.0243 -1.84286 -2.13833 --1.68651 -1.0243 1.96167 1.91254 --0.078746 0.045004 0.442688 -0.0779158 --0.078746 0.045004 -0.154809 0.422159 --0.078746 0.045004 -0.287879 -0.344244 --0.109656 0.422203 0.652531 -0.309104 --0.068586 1.28364 -1.19705 -1.12556 --0.068586 1.28364 0.654124 1.24566 --0.068586 1.28364 0.542922 -0.120101 --1.01315 -1.76745 -0.0415553 -3.00812 --1.01315 -1.76745 -0.0818759 2.80028 -1.53238 1.96962 -3.88059 0.730844 -1.53238 1.96962 3.8412 -0.88624 -1.53238 1.96962 0.039395 0.155396 --0.602162 -0.115403 0.926923 0.0970318 --0.602162 -0.115403 -0.455264 -0.714181 --0.602162 -0.115403 -0.471659 0.617149 -1.99705 -0.6765 1.52454 2.76846 -1.99705 -0.6765 -1.34472 -2.63202 -1.99705 -0.6765 -0.179819 -0.13644 -1.96194 1.17884 2.55593 -2.46429 -1.96194 1.17884 -2.46641 2.29518 --1.53389 1.93952 -0.860437 3.87333 -0.374818 -0.268083 -0.759497 0.116596 --0.587317 1.5297 0.372624 2.1678 --0.587317 1.5297 -0.650318 -1.92964 -0.140026 1.49847 -1.66113 -1.15716 -0.140026 1.49847 1.20993 1.09691 -0.131788 0.465351 0.650956 -0.406247 -0.131788 0.465351 0.107693 0.749328 --0.968603 -1.61822 -0.119659 -2.7069 --0.968603 -1.61822 -0.0165323 2.45873 --0.645886 1.56702 0.330818 2.28674 --0.645886 1.56702 -0.580393 -2.04944 --1.95179 -0.588872 2.73412 1.17912 --1.95179 -0.588872 -2.53511 -1.31295 --1.95179 -0.588872 -0.199014 0.133831 -1.52977 0.307064 0.734296 -1.95117 -1.52977 0.307064 -0.353803 1.81017 --0.326154 -0.531374 -0.572478 0.610518 --0.326154 -0.531374 0.718866 0.323229 --1.43064 1.96022 0.57618 -3.6484 -1.18151 1.76044 -3.11767 0.213125 -1.18151 1.76044 3.03431 -0.418344 -1.43931 0.147152 0.468134 -1.79616 -1.43931 0.147152 -0.0215897 1.72153 --1.03102 -0.860689 -0.767969 -1.57607 --1.03102 -0.860689 0.928899 1.05558 --1.03102 -0.860689 -0.16093 0.520494 --1.61704 1.90173 -1.07085 3.87631 --1.61704 1.90173 1.04506 -3.71766 -1.9388 -1.89881 4.1057 1.84229 -1.9388 -1.89881 -4.10297 -1.70662 -0.89945 1.75828 -2.8438 -0.306948 -0.89945 1.75828 2.69575 0.0981424 -1.03327 0.781269 1.31124 -1.05689 -1.03327 0.781269 -1.23806 0.482709 -1.03327 0.781269 -0.0731812 0.57418 --1.93394 1.39699 -2.15346 3.05461 --1.93394 1.39699 2.20898 -2.88806 --1.02449 1.41863 -0.397099 2.42972 --1.02449 1.41863 0.290092 -2.11434 -1.98347 -1.22984 2.6775 2.47837 -1.98347 -1.22984 -2.59601 -2.31344 -1.89542 0.162927 0.466872 -2.63442 -1.89542 0.162927 -0.196791 2.58931 -0.878122 -0.898117 1.36251 0.7807 -0.878122 -0.898117 -1.41597 -0.225392 --0.31871 -0.668388 -0.0787551 -1.03321 --1.1742 -0.553698 1.38639 0.748577 --1.1742 -0.553698 -1.05348 -1.15667 --1.1742 -0.553698 -0.332907 0.408089 -0.866225 -1.40623 -2.21326 0.0543726 -0.866225 -1.40623 2.05814 0.269817 --0.484739 -1.9113 1.00346 -2.60422 --0.484739 -1.9113 -1.22787 2.48298 -0.461013 -0.355846 0.190577 -0.74543 -1.16336 -0.188401 0.551095 1.38734 -1.16336 -0.188401 0.0555032 -1.28056 -1.41862 -0.610868 -0.913985 -1.39349 -0.285997 1.6903 -2.07677 -1.19568 -0.285997 1.6903 1.74713 1.08451 --0.176701 -1.11683 -0.94365 1.02103 --0.176701 -1.11683 0.36637 -1.25401 -1.15256 0.157391 0.510278 -1.37105 -1.15256 0.157391 0.101051 1.28364 --1.79969 1.60165 1.73872 -3.22911 -1.67331 0.4027 0.917343 -2.19712 -1.67331 0.4027 -0.61317 2.05021 -0.643465 -1.58483 -2.3066 0.562794 -0.643465 -1.58483 2.06471 -0.316963 --0.886497 1.84851 0.267895 3.0077 --0.886497 1.84851 -0.418035 -2.82317 --0.107793 -1.74904 -1.63519 1.77739 --0.107793 -1.74904 1.31556 -1.82252 --0.107793 -1.74904 0.31963 0.0451275 -1.99651 1.99183 4.37361 -1.88247 -1.99651 1.99183 -4.37337 1.7568 -1.99651 1.99183 -0.00023249 0.125669 -0.278056 0.751913 -1.03572 -0.386275 --0.406334 -1.85245 0.249671 0.11526 -0.181728 1.29315 -1.47469 -0.889308 -0.181728 1.29315 0.827036 0.819142 -0.181728 1.29315 0.647652 0.0701666 -0.656034 -1.86601 2.57089 -0.675225 --1.0739 1.61658 -0.300234 2.80728 --1.0739 1.61658 0.195081 -2.56118 -1.34033 0.632917 -0.918003 1.19662 --1.13628 0.275734 1.45496 -0.358823 --1.13628 0.275734 -0.955439 0.758354 --1.44979 -1.57978 -1.02263 -3.0752 --1.44979 -1.57978 1.00441 2.85753 -1.9141 -0.417012 -0.739745 -2.55179 --0.592003 -0.873248 -0.210978 -1.37064 --0.592003 -0.873248 -0.404813 0.863189 --1.52503 -0.899833 -1.58028 -1.82999 --1.52503 -0.899833 1.73481 1.55639 --1.10823 0.627412 -0.947653 1.25955 --1.10823 0.627412 1.24843 -0.80683 --1.49624 1.221 -1.3694 2.42163 --1.49624 1.221 1.42581 -2.15936 --1.49624 1.221 -0.056418 -0.262271 --1.19101 -1.37968 -0.708291 -2.49987 --1.19101 -1.37968 0.664996 2.19741 --0.914303 -0.71458 -0.661615 -1.33312 --0.914303 -0.71458 0.943626 0.751544 --1.5483 0.565741 -1.70416 1.20106 --1.7696 0.124183 -2.1747 0.278436 -1.29407 0.64463 1.23387 -1.49795 -1.29407 0.64463 -0.921802 1.07413 -1.57176 -1.68501 3.29402 1.26129 -1.57176 -1.68501 -3.30735 -1.07389 --1.54407 -1.11781 -0.0882604 0.259587 -0.816092 -0.91495 1.33595 0.692954 -0.816092 -0.91495 -1.4256 -0.131017 -0.293919 1.0441 0.394942 0.715674 --1.83861 -1.65569 -1.75953 -3.54713 --1.83861 -1.65569 1.77686 3.38458 --1.83861 -1.65569 -0.0173299 0.162546 --0.6041 -0.673692 0.764864 0.469962 --0.6041 -0.673692 -0.439718 0.702286 -1.51069 1.08034 2.07983 -1.63702 -1.51069 1.08034 -1.98916 1.36031 -1.19004 0.991028 1.71501 -1.15344 -1.19004 0.991028 -1.65831 0.745221 --1.38078 0.177747 1.82494 -0.272798 --1.38078 0.177747 -1.31904 0.461406 --1.16505 -1.80971 -0.270188 -3.2438 --1.16505 -1.80971 0.179894 3.04687 -1.46949 -0.0602563 0.319891 1.83393 -1.46949 -0.0602563 0.116028 -1.80447 -1.46949 -0.0602563 -0.435919 -0.0294681 -1.14943 -1.66041 -2.89711 -0.241866 -1.14943 -1.66041 2.81207 0.470182 -0.466151 1.84769 -2.52072 -1.1201 -0.466151 1.84769 2.27582 0.987551 -0.466151 1.84769 0.244896 0.13255 --0.223589 1.55002 -1.24756 -1.61953 --0.223589 1.55002 0.871962 1.73827 --1.97599 1.17645 -2.37453 2.59866 --1.97599 1.17645 2.46471 -2.43297 --1.97599 1.17645 -0.090181 -0.165683 -1.32235 0.252141 0.639362 -1.6167 -1.32235 0.252141 -0.135927 1.47179 -1.32235 0.252141 -0.503435 0.144916 -1.43898 0.743626 1.45156 -1.69303 -1.43898 0.743626 -1.22548 1.3687 --1.2433 -0.332098 1.58385 0.468131 --1.2433 -0.332098 -1.13536 -0.803712 -0.0891603 -0.0515426 -0.461464 0.0807149 -0.0891603 -0.0515426 0.301959 0.359514 -0.0891603 -0.0515426 0.159506 -0.440229 --1.54955 1.06251 -1.55699 2.14904 --1.54955 1.06251 1.66116 -1.88744 --1.54955 1.06251 -0.104171 -0.2616 -0.18038 0.343122 0.124476 0.694086 -0.760468 1.89148 -2.93039 -0.689222 -0.760468 1.89148 2.75726 0.521091 --1.65788 -1.8443 -1.21108 -3.79411 --1.65788 -1.8443 1.19391 3.63216 -0.172706 1.46681 1.18856 0.998022 -1.25304 -0.713097 -1.08173 -0.947121 -1.25304 -0.713097 -0.240775 -0.460071 --0.389454 -1.03992 0.543209 0.348585 -1.51076 0.150092 0.466297 -1.9159 -1.51076 0.150092 -0.0552695 1.84549 -1.51076 0.150092 -0.411027 0.0704103 --0.193415 -0.0929006 0.59404 0.0941406 --0.193415 -0.0929006 -0.22435 -0.558019 -1.34048 0.683369 1.31247 -1.55603 -1.34048 0.683369 -1.04009 1.17051 -1.81067 1.27168 2.65085 -2.08973 -1.81067 1.27168 -2.58211 1.89704 -0.380799 0.928935 -1.25409 -0.392871 -0.380799 0.928935 0.968657 -0.303483 -1.60319 -1.13743 2.24628 1.77137 -1.60319 -1.13743 -2.16254 -1.52561 -1.91811 -1.15404 2.47741 2.38739 -1.91811 -1.15404 -2.38404 -2.21037 --0.645456 -1.65764 0.434953 -2.42033 --0.645456 -1.65764 -0.66861 2.21201 --0.31589 -1.47826 -1.04381 1.60358 --0.31589 -1.47826 0.66418 -1.77553 --1.6702 1.21745 -1.71106 2.51685 --1.6702 1.21745 1.78387 -2.29484 -1.7266 1.53593 3.12903 -1.71351 -1.7266 1.53593 -3.10772 1.52767 --1.18502 1.56685 -0.541336 2.82305 --1.18502 1.56685 0.469741 -2.57161 -0.839792 -0.245845 0.168873 -0.937453 -0.538591 1.89141 -2.67575 -1.05818 -0.538591 1.89141 2.45459 0.920091 -0.538591 1.89141 0.221159 0.138087 --1.83332 0.870936 2.3569 -1.69626 --1.83332 0.870936 -2.20465 1.88317 -1.36127 0.131134 0.451086 -1.66969 -1.36127 0.131134 0.0382354 1.59877 --1.29365 1.37517 -0.892452 2.56988 --1.29365 1.37517 0.877041 -2.28695 --1.29365 1.37517 0.0154115 -0.282927 -1.22981 -0.225166 0.600064 1.4804 --1.43783 0.172991 1.91496 -0.274372 --1.43783 0.172991 -1.4405 0.426617 --0.449148 0.421314 -0.280973 0.894359 --0.449148 0.421314 0.785019 -0.294556 --0.449148 0.421314 -0.504046 -0.599803 --0.65218 0.45246 -0.442529 0.976851 --0.65218 0.45246 0.899658 -0.367766 -0.740783 0.0111165 0.387579 -0.91487 -0.740783 0.0111165 0.369159 0.913584 -0.740783 0.0111165 -0.756738 0.00128586 -1.37986 -0.638709 1.25535 1.63587 -1.37986 -0.638709 -0.954948 -1.28751 -1.30753 -1.99968 -3.7175 -0.228999 -1.30753 -1.99968 3.64759 0.389289 -1.30753 -1.99968 0.069905 -0.16029 --1.24126 1.05142 -1.00812 1.97422 --1.24126 1.05142 1.08294 -1.6022 --0.874402 -0.0591278 1.18416 0.0619402 --0.874402 -0.0591278 -0.612416 -0.65533 --0.874402 -0.0591278 -0.57174 0.59339 -1.37111 -0.748501 1.43037 1.57827 -1.37111 -0.748501 -1.20551 -1.21313 --1.20134 -1.10858 0.951726 1.67058 -1.29331 0.528467 1.05524 -1.53397 -1.29331 0.528467 -0.432127 0.368033 -1.16819 0.582707 -0.710604 0.648665 -1.16819 0.582707 -0.386404 0.684378 --0.519386 1.48043 0.409572 2.02372 --0.519386 1.48043 -0.723888 -1.78551 --0.519386 1.48043 0.314315 -0.238209 -1.81157 -0.894319 1.8935 2.31014 -1.81157 -0.894319 -1.74351 -2.11412 --1.83993 -0.575389 2.51526 1.10821 --1.83993 -0.575389 -2.2966 -1.26252 --1.52429 -0.171589 2.05597 0.285031 --1.52429 -0.171589 -1.63167 -0.400902 --1.6363 1.62145 1.36267 -3.12305 --1.21658 -0.360105 1.53655 0.498482 --1.21658 -0.360105 -1.10086 -0.855584 --0.706775 -1.80101 0.510125 -2.71625 --0.706775 -1.80101 -0.706487 2.5371 --1.93507 -1.61366 -2.00312 -3.53041 --1.93507 -1.61366 2.03167 3.37546 --1.93507 -1.61366 -0.0285459 0.154949 --0.623588 -0.00845703 0.94859 0.00725058 --0.145335 -0.893679 -0.839551 0.782156 --0.145335 -0.893679 0.181135 -1.07803 -0.803365 1.38457 -2.13054 -0.139848 -0.803365 1.38457 1.95043 -0.197517 -0.803365 1.38457 0.18011 0.337366 -0.658063 -0.657853 0.964054 0.696231 -0.658063 -0.657853 -1.08717 0.0128445 --1.02997 1.0234 0.72417 -1.32032 --1.73476 -0.105257 2.43153 0.192472 --1.73476 -0.105257 -2.09672 -0.236484 --1.73476 -0.105257 -0.334807 0.0440115 -1.29097 1.62986 -2.9589 0.54227 -1.29097 1.62986 2.90627 -0.766135 -1.29097 1.62986 0.0526249 0.223864 -1.46017 -1.47152 2.76906 1.23962 -1.46017 -1.47152 -2.7718 -1.00796 -1.1405 -0.684255 -1.02027 -0.670572 --1.76186 -1.3456 -1.8203 -2.83433 --1.76186 -1.3456 1.87455 2.63835 --1.73832 -1.70109 -1.50753 -3.56237 --1.73832 -1.70109 1.51145 3.39315 --1.56947 -0.0719663 -1.72119 -0.167953 -1.74072 1.62255 3.32145 -1.66767 -1.74072 1.62255 -3.30941 1.4917 -1.8865 1.72858 3.67899 -1.88513 -1.8865 1.72858 -3.66586 1.73305 -1.36298 -1.48148 2.69904 1.0471 -1.36298 -1.48148 -2.72027 -0.802857 --1.78079 0.232014 2.50082 -0.432902 --1.78079 0.232014 -2.19921 0.517307 --1.78079 0.232014 -0.301607 -0.0844056 -1.37838 1.59415 2.9266 -0.968104 -1.37838 1.59415 -2.95927 0.746493 --1.87579 -0.581252 -2.3721 -1.28161 --1.87579 -0.581252 -0.211793 0.147539 -0.266454 1.97789 -2.46484 -1.58914 -1.38434 0.876721 -1.49505 1.18936 -1.8238 1.73021 3.62551 -1.74729 -1.8238 1.73021 -3.6174 1.58941 -0.356924 0.284581 0.196822 0.707744 -1.20077 0.49509 0.981592 -1.40573 -1.20077 0.49509 -0.41048 1.0117 -1.20077 0.49509 -0.571112 0.394028 -1.11088 -0.982523 1.64665 1.03855 -1.11088 -0.982523 -1.61562 -0.597395 -0.288856 1.66725 1.71032 1.04762 --1.08151 1.98025 0.071114 3.46808 --1.08151 1.98025 -0.177926 -3.30296 --0.740809 -1.337 -0.0387504 -2.05541 --0.740809 -1.337 -0.21 1.69955 --0.740809 -1.337 0.24875 0.35586 -0.323933 0.627704 0.178818 0.753695 -0.667034 -1.67752 2.254 -0.401801 --1.52405 1.05039 1.62067 -1.84387 -0.219365 0.436425 -0.783094 -0.274082 -0.219365 0.436425 0.645456 -0.457322 -0.219365 0.436425 0.137638 0.731404 --1.38728 -1.3754 -1.06309 -2.63892 --1.38728 -1.3754 1.06719 2.37526 -1.26681 -1.72245 -3.12105 -0.414461 -1.26681 -1.72245 3.05645 0.622379 --1.67352 0.134687 -1.96068 0.303789 --0.914127 -1.15023 0.322083 1.43936 --0.823661 1.55571 0.0510424 2.45957 --0.823661 1.55571 -0.23823 -2.19502 --0.823661 1.55571 0.187188 -0.264554 --0.157241 -1.34821 -1.14659 1.28253 --0.157241 -1.34821 0.665661 -1.42511 -0.560389 1.70216 2.15131 0.619827 --0.218899 1.75884 1.17869 2.00368 -0.722178 -1.79885 -2.73131 0.653427 -0.722178 -1.79885 2.53988 -0.466907 --1.26102 -0.878314 -1.11933 -1.69392 --1.26102 -0.878314 1.27781 1.31229 --1.00605 0.974089 -0.678265 1.72956 --1.00605 0.974089 0.746509 -1.20087 --1.00605 0.974089 -0.0682436 -0.528693 -0.631072 0.746426 1.02962 -0.620902 -0.631072 0.746426 -1.17239 -0.0568178 -0.631072 0.746426 0.14277 0.67772 --0.560046 1.28467 0.150559 1.8158 --0.560046 1.28467 -0.51087 -1.4833 -1.37084 0.969048 -1.68565 1.1211 -0.96429 1.08464 1.67958 -0.744849 -0.96429 1.08464 -1.74088 0.302012 -0.96429 1.08464 0.0612956 0.442837 -0.109979 -1.53778 -1.67211 1.23884 -0.109979 -1.53778 1.24533 -1.19782 --0.712703 1.19927 -0.179932 -1.40309 --0.712703 1.19927 0.300622 -0.440938 --1.82024 -0.748926 2.39704 1.44301 --1.82024 -0.748926 -2.21571 -1.62385 -1.65034 0.42641 0.957385 -2.1519 -1.65034 0.42641 -0.651361 1.99187 -1.65034 0.42641 -0.306024 0.160023 -1.63632 -1.17068 -2.25345 -1.57746 -1.21038 -0.0304885 0.329665 1.42958 -1.21038 -0.0304885 0.245635 -1.41271 --0.243519 1.97972 -1.71504 -2.29951 --0.243519 1.97972 1.47296 2.36128 -0.793266 1.20532 -1.84417 -0.0329097 -0.793266 1.20532 1.67931 -0.389868 -0.793266 1.20532 0.164855 0.422777 --0.56582 1.54575 0.420933 2.16579 --0.56582 1.54575 -0.702277 -1.93814 -0.0802733 -1.48738 -1.57837 1.21315 -0.0802733 -1.48738 1.12178 -1.19225 -0.0802733 -1.48738 0.456597 -0.0208955 -1.90824 -0.859065 1.866 2.51949 -1.90824 -0.859065 -1.71357 -2.34773 --1.83919 0.893206 -2.20895 1.93192 --1.83919 0.893206 2.35592 -1.74517 --1.83919 0.893206 -0.146963 -0.186746 --1.73944 -1.83575 -1.39242 -3.85067 --1.73944 -1.83575 1.38413 3.69434 --1.03753 1.85588 0.0112154 3.19128 --1.03753 1.85588 -0.128195 -3.00301 --1.29526 1.76217 -0.561711 3.28562 --1.29526 1.76217 0.498822 -3.08534 --1.29526 1.76217 0.0628883 -0.200286 --0.265483 -1.88234 -1.55738 2.17122 --0.265483 -1.88234 1.29432 -2.24862 -1.53944 1.35346 -0.0289595 0.235688 --0.258656 0.9605 0.15765 1.21416 --0.258656 0.9605 -0.768198 -0.901711 --1.18282 0.109444 1.54845 -0.147273 --1.18282 0.109444 -0.908103 0.506774 --1.18282 0.109444 -0.640345 -0.359502 --0.0033569 -1.87577 -1.9457 1.82784 --0.0033569 -1.87577 1.66167 -1.83233 --0.0033569 -1.87577 0.284025 0.00448528 -0.342143 1.85991 2.12284 1.22304 --1.53284 -0.576399 1.94293 0.975819 --1.53284 -0.576399 -1.67328 -1.21993 -1.45496 0.0174648 0.251215 -1.80079 -1.45496 0.0174648 0.192686 1.79213 -0.503167 1.83076 -2.53818 -1.0427 -0.503167 1.83076 2.29763 0.898496 -1.73598 -0.00884482 0.179637 2.30607 -1.73598 -0.00884482 0.145593 -2.30297 -0.0619768 -0.266684 0.536926 0.355994 -0.0619768 -0.266684 0.0580188 -0.641434 --0.0830478 1.3472 0.504535 -0.106002 --1.20823 -1.00156 -0.978596 -1.8746 --1.20823 -1.00156 1.07097 1.47877 --0.733587 -1.64455 -0.494473 2.27565 --0.549535 -1.97287 0.984507 -2.79052 --0.549535 -1.97287 -1.1876 2.66844 -1.27991 0.610472 1.17629 -1.48838 -1.27991 0.610472 -0.823096 1.05603 -1.27991 0.610472 -0.353195 0.432355 --1.75212 -0.960714 -2.00275 -2.03794 --1.75212 -0.960714 2.13701 1.82867 --1.20202 0.0326825 -0.838042 0.396094 -0.576991 1.48842 -2.09897 -0.572007 -0.576991 1.48842 1.81361 0.292514 --1.34509 1.41352 -0.957057 2.67809 --1.34509 1.41352 0.945399 -2.41368 --1.36781 1.26064 1.13327 -2.12542 --1.38693 1.38815 -1.05318 2.66235 --1.38693 1.38815 1.05465 -2.401 -0.737416 1.54471 -2.33097 -0.377877 -0.737416 1.54471 2.12272 0.1078 -0.48791 1.35354 0.363434 0.350596 --0.343411 -0.653469 -0.596084 0.679562 --0.343411 -0.653469 0.70115 0.354526 --1.07792 0.524989 -0.914661 1.11058 --1.07792 0.524989 1.27496 -0.654088 --1.40044 0.439967 1.78171 -0.688665 --1.40044 0.439967 -1.4282 0.961234 --1.40044 0.439967 -0.353509 -0.272569 --1.61048 -1.45996 1.45455 2.75331 -1.47975 -0.538774 1.1202 1.83087 --0.18856 -0.405805 0.671921 0.287078 --0.529887 1.92403 0.949728 2.68565 --0.529887 1.92403 -1.16411 -2.55855 --1.75573 -0.590944 2.34535 1.10356 --1.75573 -0.590944 -2.11699 -1.28047 --0.756151 -1.55096 -0.362286 2.12242 -1.31165 -0.735628 -1.15241 -1.08086 -1.4174 1.81512 -3.44518 0.635194 -1.4174 1.81512 3.39965 -0.817603 --0.652154 1.85215 0.660956 2.73078 --0.652154 1.85215 -0.862837 -2.57053 -0.711958 0.641222 0.975506 -0.756227 -0.711958 0.641222 -1.07554 0.0419976 --1.25433 -1.07719 -1.01644 -2.02469 --1.25433 -1.07719 1.08271 1.66293 --1.81257 -1.17296 -2.02731 -2.50464 --1.81257 -1.17296 2.11562 2.30981 -1.47242 -1.67757 3.18201 1.06905 -1.47242 -1.67757 -3.20818 -0.870737 --0.845338 1.39314 -0.0477589 -1.89668 --0.845338 1.39314 0.18691 -0.33548 --1.21426 -0.534798 1.45388 0.744605 --0.14451 -0.686551 -0.733956 0.62618 --0.14451 -0.686551 0.048752 -0.955381 --1.19981 1.98534 -0.146472 3.61164 --1.19981 1.98534 0.0595561 -3.44702 --1.19981 1.98534 0.0869157 -0.164615 -1.80629 -1.54131 3.20719 1.87521 -1.80629 -1.54131 -3.1797 -1.7001 --0.621509 -1.83364 0.68635 -2.66258 --0.621509 -1.83364 -0.897586 2.50286 --1.94827 -1.59101 -2.04936 -3.49033 --1.94827 -1.59101 2.08119 3.33549 --0.908338 -1.37717 -0.248951 -2.26394 --0.908338 -1.37717 0.0937132 1.92075 -0.0566334 -0.394888 -0.676847 0.355179 -0.0566334 -0.394888 0.0616465 -0.724646 -0.0566334 -0.394888 0.615201 0.369467 -1.63389 0.149507 0.455062 -2.13276 -1.63389 0.149507 -0.0974876 2.07286 --1.15792 -1.77334 0.0907062 0.204666 --0.138106 1.7641 -1.60914 -1.83574 --0.138106 1.7641 1.29754 1.88963 --0.778923 -1.51361 0.0767176 -2.34939 --0.778923 -1.51361 -0.284652 2.07266 --0.0757129 1.93944 -1.92368 -2.01735 --0.0757129 1.93944 1.65998 2.0404 -1.26239 -0.48077 0.975621 1.4993 -1.26239 -0.48077 -0.479504 -1.15517 -1.26239 -0.48077 -0.496117 -0.344131 --0.713882 1.68639 0.363609 2.54351 --0.713882 1.68639 -0.572914 -2.33329 -1.17232 -0.644584 -0.906195 -0.732199 --0.806772 -1.37026 -0.102828 -2.16323 --0.806772 -1.37026 -0.105347 1.81791 --1.06739 -0.51138 1.2695 0.63098 --1.06739 -0.51138 -0.90062 -1.09144 -0.0621094 1.39505 -1.45598 -1.12567 -0.0621094 1.39505 0.939826 1.13032 --0.879167 0.563213 -0.656241 1.13746 --0.879167 0.563213 1.02833 -0.574195 --0.222426 -1.47548 -1.17598 1.51258 --0.222426 -1.47548 0.770135 -1.64856 -0.813402 -1.83797 -2.89517 0.539467 -0.813402 -1.83797 2.72982 -0.354735 -0.813402 -1.83797 0.16535 -0.184732 --0.934833 1.37149 -0.294759 2.27804 --0.934833 1.37149 0.152881 -1.93358 --0.934833 1.37149 0.141878 -0.344464 -1.10549 -1.74105 -3.00997 -0.0859283 -1.10549 -1.74105 2.91132 0.29815 --1.75643 0.650514 2.31996 -1.21843 --1.75643 0.650514 -2.1071 1.40385 --1.50351 0.879084 -1.54747 1.7833 --1.50351 0.879084 1.70929 -1.50245 -0.628346 1.21476 -1.75165 -0.27819 -0.628346 1.21476 1.49487 -0.165581 --1.97404 0.482137 2.8169 -0.969456 --1.97404 0.482137 -2.60296 1.08248 --1.97404 0.482137 -0.213945 -0.113024 -0.0505541 0.950823 -1.04115 -0.70044 -0.0505541 0.950823 0.724814 -0.241184 -1.96117 -0.845172 1.85985 2.63366 -1.96117 -0.845172 -1.70831 -2.47373 -1.55187 0.4009 -0.549569 1.80408 --1.53269 -1.80451 0.959866 3.41867 -0.330801 -0.651387 -0.981617 0.294658 -0.330801 -0.651387 0.797407 0.458215 -0.330801 -0.651387 0.18421 -0.752873 --1.72499 0.241352 2.39577 -0.440333 --1.72499 0.241352 -2.07698 0.537558 --0.219668 -0.401237 -0.118441 -0.80004 --1.14411 -1.20805 -0.753251 -2.17646 --1.14411 -1.20805 0.73979 1.80666 -1.56165 1.55048 3.01417 -1.36653 -1.56165 1.55048 -3.01328 1.16061 --0.75898 -0.900988 -0.212615 0.799942 --1.37839 -1.76003 0.675363 3.16643 -0.131958 1.04003 0.763572 -0.172012 -1.35507 -0.477714 -0.571603 -1.35182 -0.190879 0.798097 -1.0223 -0.482877 --1.85179 1.32982 -2.01926 2.85786 --1.85179 1.32982 2.0812 -2.67593 --0.142956 -0.375301 -0.0727677 -0.756523 --0.142956 -0.375301 -0.576959 0.469913 --0.142956 -0.375301 0.649727 0.28661 -1.29559 -0.923616 1.67569 1.36455 --1.40723 -0.109492 1.8748 0.170519 --1.40723 -0.109492 -1.34393 -0.293891 -1.31926 1.55248 2.78959 -0.897343 -1.31926 1.55248 -2.82855 0.661193 -1.24035 -1.33142 2.31612 0.96386 -1.24035 -1.33142 -2.33938 -0.666578 -1.24035 -1.33142 0.0232556 -0.297282 --1.30462 -0.606603 1.54814 0.904102 --1.30462 -0.606603 -1.25861 -1.2514 -0.697188 -1.93236 -2.92891 0.843912 -0.697188 -1.93236 2.74652 -0.691061 -0.697188 -1.93236 0.182392 -0.15285 --1.03598 1.59603 -0.254938 2.73558 --1.03598 1.59603 0.139657 -2.48195 --1.03598 1.59603 0.11528 -0.253631 -1.20253 1.95752 -3.52421 0.0610114 -1.20253 1.95752 3.43911 -0.229878 -1.67247 0.894654 1.82802 -2.0415 -1.67247 0.894654 -1.67284 1.80716 -1.67247 0.894654 -0.155182 0.234348 --1.36561 -0.301263 1.77439 0.459449 --1.36561 -0.301263 -1.33888 -0.711543 --1.36561 -0.301263 -0.435505 0.252094 -0.666416 -0.844327 -1.29171 0.0435546 -0.666416 -0.844327 1.14515 0.586485 --0.0265317 1.07316 -1.06696 -0.867574 --0.0265317 1.07316 0.410475 1.06313 --0.0265317 1.07316 0.656484 -0.195552 --0.956977 -0.935421 -0.627696 -1.64871 --0.956977 -0.935421 0.722376 1.06809 --0.956977 -0.935421 -0.0946797 0.580616 -1.29416 0.322405 -0.230104 1.37543 -1.29416 0.322405 -0.514071 0.195809 --0.106278 1.48445 -1.34237 -1.41022 --0.106278 1.48445 0.91332 1.49247 -1.52709 0.970468 1.89098 -1.73362 -1.52709 0.970468 -1.7633 1.45254 -1.555 -1.8495 3.61487 1.06189 -1.555 -1.8495 -3.64428 -0.89352 -1.75932 1.68111 3.46154 -1.6542 -1.75932 1.68111 -3.45414 1.48567 --1.55978 1.44889 -1.34011 2.90514 --1.55978 1.44889 1.35737 -2.68462 -0.542489 -1.87282 -2.65063 1.02997 -0.542489 -1.87282 2.42691 -0.887296 -0.999831 -0.430332 -0.0549698 -0.920924 -0.999831 -0.430332 -0.791194 -0.232687 --1.89988 1.23114 -2.18023 2.67562 --1.89988 1.23114 2.26022 -2.49811 -0.332395 1.98905 -2.56988 -1.50401 -0.332395 1.98905 2.3355 1.42422 --1.35279 -0.0107288 1.79677 0.0161673 --1.35279 -0.0107288 -1.13332 -0.0407055 --1.35279 -0.0107288 -0.66345 0.0245381 -1.47063 1.41291 -2.65836 1.07165 --1.57864 -1.48698 1.36282 2.782 --1.28298 1.93827 -0.358381 3.6115 --1.28298 1.93827 0.285637 -3.44086 -0.535732 1.84875 -2.60443 -1.01253 -0.535732 1.84875 2.37475 0.865856 -1.96903 0.157889 0.454462 -2.78399 -1.96903 0.157889 -0.203084 2.74455 -1.96903 0.157889 -0.251378 0.0394486 -0.0819287 1.90466 -2.10582 -1.75375 -0.0819287 1.90466 1.83063 1.73296 -1.54281 -1.4607 2.82076 1.40868 -1.54281 -1.4607 -2.80961 -1.18806 -0.97198 -1.69621 -2.803 0.118129 -0.97198 -1.69621 2.67307 0.107628 --1.58701 1.11384 -1.60341 2.26675 --1.58701 1.11384 1.69561 -2.01841 --1.58701 1.11384 -0.0922062 -0.248336 --1.83065 0.715315 -2.24652 1.55616 --1.35217 1.95574 -0.475695 3.71927 --1.35217 1.95574 0.412915 -3.5535 -0.490768 -1.80138 -2.47826 1.02772 -0.490768 -1.80138 2.2285 -0.879421 -0.857158 -0.863396 1.30505 0.780095 -0.857158 -0.863396 -1.36096 -0.201147 --1.23138 1.95425 -0.241358 3.58675 --1.23138 1.95425 0.159955 -3.4175 --0.974143 -1.25898 -0.446485 -2.13615 --0.974143 -1.25898 0.341142 1.73801 --1.52229 1.07063 -1.50115 2.15111 -1.99219 0.584316 1.33289 -2.784 -1.99219 0.584316 -1.13647 2.65947 -1.99219 0.584316 -0.196417 0.124532 --1.58849 1.89003 -1.02242 3.8243 --1.58849 1.89003 0.994192 -3.66239 --1.58849 1.89003 0.0282282 -0.161903 --1.56331 1.10911 -1.56001 2.24535 --1.56331 1.10911 1.65198 -1.9904 --1.80006 -1.59175 -1.72681 -3.37949 --1.80006 -1.59175 1.74837 3.20751 -1.54289 -0.594891 1.23356 1.92398 -1.54289 -0.594891 -0.950901 -1.67711 -0.972896 -0.65395 -1.04755 -0.351362 -0.972896 -0.65395 -0.0671827 -0.691705 --1.02368 -0.289414 1.31088 0.343547 --1.02368 -0.289414 -0.819175 -0.81332 --0.0243909 1.35296 -1.31321 -1.16506 --0.0243909 1.35296 0.793596 1.23679 --1.54084 1.0234 -1.55888 2.07034 --1.54084 1.0234 1.67417 -1.80426 -0.31641 -1.24774 -1.55012 0.697046 -0.31641 -1.24774 0.951122 -0.198162 -0.31641 -1.24774 0.599001 -0.498884 --0.605492 0.569485 -0.366087 1.07216 --0.605492 0.569485 0.821618 -0.420907 --0.605492 0.569485 -0.455531 -0.651256 --1.1122 -1.59808 -0.384366 -2.81144 --1.1122 -1.59808 0.290857 2.56235 --1.38224 -1.99764 -0.491184 -3.83486 --1.38224 -1.99764 0.431201 3.67604 --0.923428 1.43997 -0.216564 2.37491 --0.923428 1.43997 0.0661556 -2.06131 -0.351603 1.16232 1.01864 -0.00108407 --0.702 1.83778 0.562712 2.76972 --0.702 1.83778 -0.755563 -2.59968 --1.88872 -0.973188 -2.28227 -2.12002 --1.88872 -0.973188 2.41037 1.94064 -1.45026 1.09641 -1.99054 1.22463 -0.86572 0.117969 0.481025 -1.03453 -0.86572 0.117969 0.25928 1.00031 --0.277744 0.322416 -0.187535 0.76348 -0.548482 1.07448 -1.51672 -0.292292 -0.548482 1.07448 1.2454 -0.258542 -1.47543 -0.415206 0.911918 1.84837 --1.94467 1.90636 1.78355 -4.0569 --0.250603 0.500731 -0.1039 0.88143 --0.250603 0.500731 -0.595192 -0.570965 -1.1769 1.40044 2.37647 -0.789303 -1.1769 1.40044 -2.42792 0.499111 --1.23924 -1.34939 0.791672 2.18284 --1.23924 -1.34939 0.0234685 0.300921 -1.4789 -0.0354128 0.276196 1.84497 -1.4789 -0.0354128 0.155736 -1.82783 --0.199801 -1.8973 -1.67937 2.11323 --0.199801 -1.8973 1.41305 -2.17212 -0.523094 -0.870307 0.212048 -0.657071 -0.669549 -0.402071 0.731413 0.806279 -0.669549 -0.402071 -0.88268 -0.00772088 -1.18991 1.32124 2.25276 -0.886363 -1.18991 1.32124 -2.28732 0.576927 --0.723116 1.97851 0.704853 3.02943 --0.723116 1.97851 -0.877099 -2.88533 --0.723116 1.97851 0.172246 -0.144106 -1.81422 -0.368758 0.869914 2.46692 -1.81422 -0.368758 -0.600547 -2.35683 -1.44001 1.79464 3.38256 -0.884691 -1.44001 1.79464 -3.42337 0.700835 -1.82957 0.703738 -1.33012 2.24726 --0.724479 1.39669 0.0404591 2.12415 --0.724479 1.39669 -0.287887 -1.80264 -0.789563 -1.8777 -2.93855 0.62369 -0.789563 -1.8777 2.77071 -0.449961 -0.281138 1.50706 1.40719 0.839909 -0.881789 -1.87858 -3.03955 0.461998 -0.881789 -1.87858 2.89222 -0.282418 --1.23215 1.64705 -0.55336 3.01082 --1.23215 1.64705 0.485877 -2.78273 --0.537576 -1.66903 0.608032 -2.30776 --0.537576 -1.66903 -0.86994 2.12362 -1.14182 -0.83105 1.44278 1.18148 -1.14182 -0.83105 -1.33165 -0.688715 -1.06468 -1.70582 -2.90632 -0.0421682 -1.06468 -1.70582 2.79941 0.263759 --1.18715 0.700994 -1.05324 1.38554 --1.18715 0.700994 1.30579 -0.968945 --1.18715 0.700994 -0.25255 -0.416598 -1.21721 1.76706 -3.16363 0.276417 -1.21721 1.76706 3.08699 -0.478675 --0.485873 1.46317 0.433844 1.96282 --0.485873 1.46317 -0.765044 -1.72839 --1.69404 0.495401 2.26771 -0.898792 --1.69404 0.495401 -2.00234 1.07473 -1.66008 1.60881 3.22079 -1.51274 -1.66008 1.60881 -3.21535 1.32603 -1.00707 1.97379 -3.34909 -0.334137 -1.00707 1.97379 3.23026 0.168897 -1.60206 -1.26292 2.48504 1.68161 -1.60206 -1.26292 -2.43052 -1.44755 -0.611271 -0.833721 -1.2618 0.103703 -0.611271 -0.833721 1.09404 0.543362 -1.51938 -0.593713 -0.935263 -1.62672 --0.225034 1.62236 0.972476 1.83069 -0.787748 0.00641616 0.380413 -0.954673 -0.787748 0.00641616 0.369269 0.953505 -0.132501 -0.728194 -0.934273 0.483995 -0.132501 -0.728194 0.187337 -0.832583 -0.132501 -0.728194 0.746936 0.348589 --0.721174 -1.42454 0.0723672 -2.16058 --0.721174 -1.42454 -0.3168 1.85296 -0.666051 1.44774 1.87293 0.0946569 --1.35148 -1.88081 -0.552085 -3.57074 --1.35148 -1.88081 0.492289 3.39364 -0.636381 -1.4718 -2.12805 0.469155 -0.636381 -1.4718 1.87036 -0.174119 -0.636381 -1.4718 0.257685 -0.295036 -0.764353 0.164972 -0.772905 0.0252986 --1.93515 -0.907845 2.54652 1.83107 --1.93515 -0.907845 -2.40734 -1.99862 -1.38906 -1.69573 3.13369 0.886622 -1.38906 -1.69573 -3.17457 -0.683419 --1.56003 -1.84204 -1.00936 -3.6977 --1.56003 -1.84204 0.981121 3.52806 -1.07738 1.79292 -3.08097 -0.0162413 -1.07738 1.79292 2.97495 -0.18535 -1.21894 -1.49227 0.0534419 -0.261294 --1.31801 -0.0747764 1.74235 0.11029 --1.31801 -0.0747764 -1.09566 -0.280168 --1.31801 -0.0747764 -0.646688 0.169878 -0.0316636 0.247122 -0.564033 -0.296518 -1.39483 -0.87588 1.65308 1.55541 -1.39483 -0.87588 -1.49766 -1.21239 --1.3546 -0.262202 1.76774 0.396783 --1.3546 -0.262202 -1.30481 -0.641735 --1.0757 1.53516 -0.379521 2.6692 --1.0757 1.53516 0.27977 -2.39918 --1.03139 -1.84738 0.0128365 -3.16929 --1.03139 -1.84738 -0.131227 2.9793 --1.51481 1.60591 -1.12833 3.18049 --1.51481 1.60591 1.11677 -2.97495 --1.04212 -1.06831 -0.679608 -1.89052 --1.04212 -1.06831 0.691414 1.42043 --1.92205 1.80419 -1.81995 3.94256 --1.92205 1.80419 1.82919 -3.79887 --0.518779 0.555553 -0.292399 1.02881 -0.602672 1.88562 -2.7416 -0.947667 -0.602672 1.88562 2.53299 0.797605 -0.602672 1.88562 0.208615 0.150062 -0.915814 -0.403524 0.794929 1.06004 -0.915814 -0.403524 0.0303829 -0.897395 -0.915814 -0.403524 -0.825312 -0.162641 --0.11802 -0.7074 0.686552 0.326865 -1.39245 -1.88518 -3.5667 -0.517674 -1.39245 -1.88518 3.51342 0.691287 -1.95622 -0.257742 0.659012 2.75725 -1.95622 -0.257742 -0.411789 -2.69271 --0.581137 -1.18134 0.394001 0.393884 -0.0404771 -1.27833 -1.3137 1.01834 -0.0404771 -1.27833 0.723719 -1.07723 --1.60752 -1.54313 -1.36433 -3.12948 --1.60752 -1.54313 1.37317 2.92784 -1.92498 1.72559 3.70691 -1.97236 -1.92498 1.72559 -3.6908 1.82368 -1.89396 1.91318 4.09428 -1.72776 -1.89396 1.91318 -4.09576 1.58989 -0.57751 0.296246 -0.822739 -0.0356373 -0.57751 0.296246 0.206583 0.785425 -1.78112 1.98154 4.1321 -1.40842 -1.78112 1.98154 -4.1471 1.26849 -1.71279 -0.780665 1.63075 2.16843 -1.71279 -0.780665 -1.44294 -1.95314 --1.51346 1.1276 -1.45507 2.25444 --1.51346 1.1276 1.53816 -1.98715 --1.12138 -0.632315 -0.966188 -1.26881 --1.12138 -0.632315 1.26273 0.822785 --1.728 1.43483 1.7276 -2.80191 --1.84999 0.126169 2.64561 -0.241424 -1.12997 0.44118 0.889577 -1.3196 -1.12997 0.44118 -0.219621 1.0079 -0.308657 1.6429 -2.03856 -1.10936 -0.308657 1.6429 1.69446 0.978675 -1.39815 1.84714 -3.4935 0.565597 -1.39815 1.84714 3.44314 -0.744465 --0.381688 1.39656 0.485483 1.75937 --0.381688 1.39656 -0.875168 -1.53763 -0.523507 -1.99025 2.61053 -1.08566 -1.16047 1.20588 0.0186012 0.34909 --1.18781 -1.98743 -0.121156 -3.60223 --1.18781 -1.98743 0.0322841 3.43787 -1.04037 0.250209 0.6304 -1.22908 -1.04037 0.250209 0.0603062 1.10111 --0.503898 -1.16773 0.10678 -1.62484 --0.503898 -1.16773 -0.544472 1.26302 --1.74534 0.222932 2.43643 -0.410019 --1.74534 0.222932 -2.12142 0.497161 -0.503341 -0.850476 -1.23755 0.226857 -1.30046 -1.73299 -3.17203 -0.471894 -1.30046 -1.73299 3.11293 0.675593 --0.281476 -1.44095 -1.06041 1.51809 --0.281476 -1.44095 0.656603 -1.68743 -1.74587 0.609059 -1.08399 2.10842 --1.92022 0.860401 2.54182 -1.72347 --1.92022 0.860401 -2.39245 1.8913 -1.52141 -0.228092 -0.397515 -0.105902 --1.79066 -0.0761152 2.53695 0.142331 --1.79066 -0.0761152 -2.22169 -0.170886 --0.770292 0.922808 -0.387224 1.53183 --0.770292 0.922808 0.565822 -0.721668 --0.770292 0.922808 -0.178597 -0.81016 -0.437269 1.94 -2.62899 -1.27805 -0.437269 1.94 2.39867 1.16871 -1.92351 -1.02228 2.20735 2.47286 -1.92351 -1.02228 -2.08916 -2.29731 -1.03047 -1.47875 -2.46373 -0.172641 -1.03047 -1.47875 2.36052 0.458052 -0.659847 -1.98735 -2.97873 0.972043 -0.659847 -1.98735 2.79565 -0.834373 -0.941721 1.90088 -3.14361 -0.37725 -0.941721 1.90088 3.00995 0.199857 --0.847345 -0.734012 -0.570731 -1.33468 --0.847345 -0.734012 0.861497 0.704627 -0.38482 -0.269883 0.556809 0.600605 -0.681273 1.82369 -2.72838 -0.748413 -0.681273 1.82369 2.5294 0.5729 -1.60826 -0.938986 1.87813 1.8991 -1.60826 -0.938986 -1.73665 -1.64417 --1.82107 1.85328 -1.55363 3.96236 --1.82107 1.85328 1.55115 -3.81411 --0.382745 0.677817 -0.124141 1.07287 --0.382745 0.677817 -0.576778 -0.70338 --0.170157 1.26915 -1.06368 -1.19452 --0.170157 1.26915 0.550072 1.3693 --1.45429 -1.4482 -1.13558 -2.82548 --1.45429 -1.4482 1.13772 2.58701 --1.39738 0.9486 -1.32689 1.86937 --1.39738 0.9486 1.46108 -1.55067 -1.20985 0.0584776 0.368437 -1.43496 -1.20985 0.0584776 0.207324 1.40253 -1.20985 0.0584776 -0.575762 0.0324339 --1.61981 -0.830547 -1.78586 -1.72967 --1.61981 -0.830547 1.96008 1.48854 --1.61981 -0.830547 -0.174217 0.241134 -1.75631 -0.688038 1.47062 2.28534 -1.75631 -0.688038 -1.26101 -2.09375 -0.647306 -1.81328 -2.6739 0.792863 -0.647306 -1.81328 2.46503 -0.619228 -0.454253 -1.69451 0.286031 -0.167376 --1.37754 -0.0894004 1.83075 0.136797 --1.37754 -0.0894004 -1.25952 -0.261009 --1.37754 -0.0894004 -0.571233 0.124212 -0.516126 0.462766 -0.905825 -0.0963347 -1.58571 -1.52245 2.97987 1.43939 -1.58571 -1.52245 -2.97212 -1.2331 --0.658689 -1.04104 -0.267201 1.07678 --1.81427 1.03404 -2.09937 2.21583 --1.81427 1.03404 2.21616 -2.01983 --1.81427 1.03404 -0.116787 -0.196001 --0.786113 -0.97651 0.460804 0.75495 --0.786113 -0.97651 -0.0852723 0.853745 --0.770694 0.505605 -0.546741 1.05333 --0.770694 0.505605 0.965533 -0.460093 --0.770694 0.505605 -0.418792 -0.593242 --0.773186 1.13847 -0.248601 1.81119 --0.773186 1.13847 -0.0166294 -1.29297 --1.442 1.53999 1.02608 -2.7667 -0.920895 0.351257 0.736329 -1.07641 --1.76308 -0.620993 2.34631 1.16452 --1.76308 -0.620993 -2.12677 -1.34412 -0.774396 0.335662 0.692185 -0.922909 -0.98073 -1.74333 -2.89628 0.146951 -0.888373 -1.0672 0.0914058 -0.469299 -1.99794 -1.85356 4.05962 2.01879 -1.99794 -1.85356 -4.04965 -1.88458 -1.99794 -1.85356 -0.00997178 -0.134205 -1.01177 1.76499 -2.96567 -0.111177 -1.01177 1.76499 2.84524 -0.0973321 -0.240161 1.8614 -2.25928 -1.47321 -0.240161 1.8614 1.98147 1.40267 -1.48961 -0.179007 0.516934 1.88229 -1.48961 -0.179007 -0.0984215 -1.79607 -1.48961 -0.179007 -0.418512 -0.086218 --1.97627 -1.3538 -2.27348 -2.987 --1.97627 -1.3538 2.33667 2.8248 --1.47808 -0.0761801 -1.50554 -0.189537 --1.31002 1.68187 0.61162 -2.93327 --1.9226 -1.82128 -1.80644 -3.98117 --1.9226 -1.82128 1.81428 3.83871 --1.9226 -1.82128 -0.00784596 0.142455 -1.97068 0.371859 0.893155 -2.77828 -1.97068 0.371859 -0.661448 2.68955 --1.40053 1.08023 -1.27097 2.10733 --1.40053 1.08023 1.35749 -1.80057 -0.868097 -0.0462405 0.409755 1.03252 -0.868097 -0.0462405 0.322279 -1.01912 --1.68083 -1.60904 -1.4624 -3.32225 --1.68083 -1.60904 1.47088 3.13745 --1.35503 -1.6089 -0.816379 -3.05031 --1.35503 -1.6089 0.77797 2.82634 --1.23743 1.93001 -0.279247 3.54674 --1.23743 1.93001 0.199316 -3.37362 -0.304376 1.00156 -1.27717 -0.515893 -0.304376 1.00156 0.920725 -0.206355 -1.4553 -1.7635 3.33604 0.947858 -1.4553 -1.7635 -3.3723 -0.760627 --0.762278 1.86411 -0.672534 -2.71562 -1.0961 1.35997 2.22871 -0.69149 -1.0961 1.35997 -2.29722 0.377342 -0.666756 -1.95069 -2.92468 0.916919 -0.666756 -1.95069 2.73835 -0.771401 -1.70752 0.677267 1.43397 -2.19653 -1.70752 0.677267 -1.21394 1.99238 -1.56657 1.33282 2.59259 -1.56013 -1.56657 1.33282 -2.55623 1.32693 -0.366995 -1.6133 -2.06369 0.996171 -0.366995 -1.6133 1.72362 -0.833085 --1.04529 1.15448 0.598264 -1.59549 -1.53737 -1.5694 3.0296 1.30111 -1.53737 -1.5694 -3.0344 -1.09461 --0.863756 -0.392789 1.10107 0.400374 --0.863756 -0.392789 -0.445025 0.54516 --1.8086 0.930778 -2.13096 1.99877 --1.8086 0.930778 2.27074 -1.80357 -0.605831 -0.569577 0.860182 0.690966 -0.605831 -0.569577 -1.00053 0.0482095 --1.57282 -1.4266 -1.38205 -2.87051 --1.57282 -1.4266 1.4047 2.6494 -0.422654 1.87516 2.26324 1.10297 -0.144037 1.91554 -2.20734 -1.68231 -0.144037 1.91554 1.93767 1.64406 -1.07132 0.181809 0.546102 -1.26791 -1.07132 0.181809 0.114581 1.17393 -1.07132 0.181809 -0.660683 0.093979 --1.81641 -0.220582 2.56986 0.417226 --1.81641 -0.220582 -2.27791 -0.492748 --1.10607 1.21769 -0.684598 2.16642 --1.10607 1.21769 0.653994 -1.7872 -0.445987 1.32428 -1.75616 -0.605807 -0.445987 1.32428 1.35177 0.235719 --0.0642824 -0.857197 0.687553 0.292714 -0.678078 1.32976 0.238919 0.370955 -1.25535 -0.328349 0.749763 1.51334 -1.25535 -0.328349 -0.207193 -1.30836 -1.25535 -0.328349 -0.54257 -0.204979 -1.70729 -1.15748 2.35292 1.95889 -1.70729 -1.15748 -2.26683 -1.73937 -1.38631 0.777861 1.48545 -1.59001 -1.38631 0.777861 -1.27836 1.23498 -0.17135 -1.35183 0.95132 -0.880922 -0.541189 1.92783 -2.73749 -1.0976 -0.541189 1.92783 2.52328 0.96625 --1.78845 1.11227 -2.00855 2.36596 --1.78845 1.11227 2.10858 -2.16491 --1.61986 0.0543204 -1.83615 0.124605 --1.61986 0.0543204 -0.393478 -0.0301836 -0.441902 -1.5346 1.69306 -0.586644 --0.27221 0.16876 -0.241801 0.652053 --0.27221 0.16876 0.67397 -0.141789 --0.27221 0.16876 -0.432169 -0.510264 -1.25803 -0.771907 1.41518 1.38763 -1.25803 -0.771907 -1.22106 -0.946406 -1.25803 -0.771907 -0.194123 -0.441223 -0.322202 -1.36275 1.17462 -0.530079 --1.69893 -0.574978 -2.00262 -1.2385 -0.127237 0.337353 -0.676482 -0.281253 --1.39193 -0.392208 -1.40742 -0.874524 -1.71598 1.9207 0.016973 0.149602 -0.0869316 -0.514465 -0.767006 0.396191 -1.33677 0.195172 0.55211 -1.63737 -1.33677 0.195172 -0.0526407 1.52847 --0.192108 0.179736 -0.178135 0.624801 --0.192108 0.179736 0.616736 -0.16756 --0.192108 0.179736 -0.4386 -0.457241 -0.438211 1.09813 -1.47353 -0.439285 -0.438211 1.09813 1.12232 -0.142616 -0.438211 1.09813 0.351205 0.581901 -0.0318882 -1.56113 -1.60338 1.35864 -0.0318882 -1.56113 1.19264 -1.36007 --1.95902 0.253877 -2.59365 0.573009 -1.20412 0.943479 1.65037 -1.20704 -1.20412 0.943479 -1.56949 0.788879 -1.20412 0.943479 -0.0808804 0.418162 --0.231415 -1.78845 -1.49779 1.98329 --0.231415 -1.78845 1.20485 -2.06335 -1.86267 0.756299 1.64122 -2.46886 -1.86267 0.756299 -1.46202 2.29577 -1.14339 -0.396688 -0.187217 -1.08097 --1.47619 0.834736 -1.51178 1.69183 --1.47619 0.834736 1.69011 -1.4019 --1.79898 -1.43617 1.88024 2.86468 --1.35584 1.49485 0.0232476 -0.246085 --0.926646 -1.39078 0.118356 1.9652 --1.01272 0.561162 -0.823475 1.15456 --1.01272 0.561162 1.17312 -0.658552 -1.00668 1.78574 2.87717 -0.0630021 -1.35284 1.42414 2.5836 -1.08114 -1.35284 1.42414 -2.59806 0.824228 --0.824772 1.00464 -0.408496 1.6689 --0.824772 1.00464 0.37478 -0.874387 --0.824772 1.00464 0.0337156 -0.794515 -0.482363 -1.40191 0.358434 -0.313002 --1.75727 1.66052 -1.58126 3.49196 --1.75727 1.66052 1.59125 -3.32098 -0.0846321 -1.18281 -1.26816 0.878582 -0.0846321 -1.18281 0.594086 -0.962959 --0.0548261 -0.248737 0.562678 0.272527 -0.793079 1.17887 -1.80387 -0.0174868 -0.793079 1.17887 1.64347 -0.418361 -0.616348 1.54727 -2.22327 -0.568442 -0.616348 1.54727 1.96511 0.310695 -0.520151 -0.121491 0.293928 -0.758077 -1.52367 -1.75702 3.39287 1.09247 -1.52367 -1.75702 -3.41911 -0.909937 -0.558582 0.769702 0.172928 0.682561 -0.785145 1.5948 0.188184 0.253713 -0.630268 0.105239 0.46322 -0.821582 -0.630268 0.105239 0.30565 0.826429 -1.36564 -1.45836 2.65851 1.07348 -1.36564 -1.45836 -2.67583 -0.825224 -1.56391 -1.03283 2.02617 1.76412 -1.56391 -1.03283 -1.91633 -1.49927 --0.873185 -1.06965 -0.432803 -1.78764 --0.873185 -1.06965 0.322363 1.18772 --0.663388 1.68536 0.440226 2.48332 --0.663388 1.68536 -0.664167 -2.28011 --1.73515 -0.160354 2.42671 0.29343 --1.73515 -0.160354 -2.09837 -0.359207 -1.57457 1.38662 2.70309 -1.5326 -1.57457 1.38662 -2.67559 1.30754 --1.43455 -0.81448 -1.44209 -1.64184 --1.43455 -0.81448 1.62937 1.33648 -0.933425 1.43549 -2.31345 0.0361979 -0.933425 1.43549 2.1816 -0.344248 -1.97155 1.2324 2.67539 -2.45135 -1.97155 1.2324 -2.59451 2.28458 --0.854359 1.32688 -0.211088 2.14152 --1.40851 0.82875 -1.39086 1.65939 --1.40851 0.82875 1.57301 -1.34321 --1.40851 0.82875 -0.182153 -0.316179 -0.928144 -1.56695 -2.53546 0.079618 -0.928144 -1.56695 2.39495 0.184186 --1.49484 -0.4507 1.93241 0.74355 --1.49484 -0.4507 -1.60617 -0.976913 --0.641707 -0.945203 -0.220867 -1.48061 --0.641707 -0.945203 -0.324223 0.932762 -0.34582 -0.094115 0.41216 0.602559 -0.34582 -0.094115 0.278972 -0.651339 --1.07027 0.233775 1.38194 -0.288612 --1.07027 0.233775 -0.854429 0.732572 --1.11363 -1.16432 -0.732362 -2.08526 --1.11363 -1.16432 0.724361 1.6886 -0.258385 1.71064 -2.07144 -1.25788 -0.883207 -0.316229 0.691045 1.04018 -0.883207 -0.316229 0.101863 -0.933391 -0.883207 -0.316229 -0.792907 -0.106787 -0.795637 1.10471 -1.69391 0.0266804 -0.795637 1.10471 1.54943 -0.498765 -0.795637 1.10471 0.144478 0.472085 --0.110556 0.323485 -0.0644435 0.709672 --0.110556 0.323485 -0.556986 -0.43171 -1.05318 -1.83063 -3.12805 0.0986713 -1.05318 -1.83063 3.01654 0.0951429 -1.6672 -0.862297 1.76469 2.04704 -1.6672 -0.862297 -1.59924 -1.8121 -1.49246 -0.969962 -1.74488 -1.37852 -0.541017 0.169871 0.267562 0.772182 --0.781367 0.202586 -0.501091 -0.580122 --0.818512 -0.721121 -0.540437 -1.30848 --0.818512 -0.721121 0.850422 0.666002 -0.094387 -1.92921 -2.15736 1.77101 -0.094387 -1.92921 1.88952 -1.74732 -1.79632 1.01477 2.12433 -2.21933 -1.79632 1.01477 -2.00295 2.01661 -1.16346 0.926156 -1.52352 0.713719 --0.940063 -1.70048 -0.156226 2.59165 --0.940063 -1.70048 0.143386 0.223813 --1.3212 1.57545 0.740646 -2.72372 -1.82494 -0.174879 0.492835 2.49497 -1.82494 -0.174879 -0.203495 -2.44153 --1.30237 0.740094 -0.225218 -0.360229 --0.626944 -1.1713 -0.0349632 -1.73683 --0.626944 -1.1713 -0.337911 1.31425 --0.626944 -1.1713 0.372875 0.422586 --0.522702 -1.06155 -0.00481054 -1.52382 -1.9849 0.543937 1.24809 -2.77852 -1.9849 0.543937 -1.04388 2.6592 --0.178439 -1.09466 0.585389 0.24169 -1.39445 -1.62465 3.00109 0.968852 -1.39445 -1.62465 -3.03426 -0.75426 -0.937078 0.760731 1.23009 -0.943445 -0.937078 0.760731 -1.21388 0.323936 -0.937078 0.760731 -0.0162132 0.619508 --1.13238 0.430223 1.39386 -0.559689 --1.13238 0.430223 -0.988199 0.975387 --0.900927 0.966643 0.584761 -1.02123 --0.352202 -0.0565267 -0.388775 0.573297 --1.02385 -0.920759 0.845486 1.13713 --0.878678 -1.29236 0.108503 1.71905 --0.878678 -1.29236 0.167546 0.391863 --1.97239 0.719066 2.72152 -1.45588 --1.97239 0.719066 -2.54911 1.60188 --1.42651 1.61608 -0.946895 3.12584 --1.42651 1.61608 0.920411 -2.91131 --1.54218 -0.247057 2.07262 0.414721 --1.54218 -0.247057 -1.68297 -0.561739 --1.54218 -0.247057 -0.389655 0.147018 --1.39733 -1.58224 -0.919634 -3.03596 --1.39733 -1.58224 0.892168 2.81208 --1.79194 0.13028 2.53524 -0.243834 --1.79194 0.13028 -2.22454 0.292009 -0.717069 -1.11449 -1.66664 0.0923976 -0.717069 -1.11449 1.4798 0.391458 --0.739313 -1.91718 0.599809 -2.9468 --0.739313 -1.91718 -0.775565 2.78927 --1.72067 0.586869 -0.235083 -0.185554 -0.619591 -1.68915 2.20996 -0.499379 --0.322907 -1.0361 0.169708 -1.3307 --0.322907 -1.0361 -0.733184 1.01193 --0.322907 -1.0361 0.563477 0.318764 --1.74902 -1.74703 -1.4913 -3.66922 --1.74902 -1.74703 1.49169 3.50538 -1.76778 -1.5838 3.26389 1.7583 -1.76778 -1.5838 -3.24486 -1.58198 -1.20756 1.02272 1.77707 -1.15893 -1.20756 1.02272 -1.72666 0.767414 -1.91001 -1.31255 2.8043 2.26791 -1.91001 -1.31255 -2.7379 -2.0937 --0.344132 1.34571 0.46884 1.65714 --0.344132 1.34571 -0.890964 -1.43285 --0.014977 -0.999091 0.683219 0.228417 --1.75859 -1.19242 -1.90482 -2.5157 --1.75859 -1.19242 1.98747 2.31082 --1.75859 -1.19242 -0.0826473 0.204877 -0.294147 1.39128 1.18987 0.643081 -0.22363 1.55702 -1.82857 -1.12247 -0.22363 1.55702 1.42309 1.01557 -0.22363 1.55702 0.40548 0.106905 -1.6699 0.244937 -0.294403 2.10909 --0.508529 -1.48581 0.430121 -2.01847 --0.508529 -1.48581 -0.746717 1.78523 --0.617195 -0.827588 -0.263985 -1.33658 --1.67669 -1.74189 -1.34272 -3.59575 --1.67669 -1.74189 1.33641 3.42451 --0.856728 1.7984 0.26079 2.8884 --0.856728 1.7984 -0.421068 -2.69407 -1.63171 -0.303282 0.732914 2.13063 -1.63171 -0.303282 -0.394073 -2.01035 --0.630869 0.764961 -0.310917 1.27745 --0.630869 0.764961 0.711065 -0.521695 --0.630869 0.764961 -0.400148 -0.755756 --0.803865 0.478212 -0.586085 1.03031 --0.803865 0.478212 1.00738 -0.453508 -1.71473 -1.21807 2.47721 1.93332 -1.71473 -1.21807 -2.40374 -1.71907 --1.66343 1.4458 -1.55019 2.97378 --1.66343 1.4458 1.57968 -2.76979 --1.22242 -1.18869 -0.896746 -2.19507 --1.22242 -1.18869 0.913448 1.8464 -0.375248 0.934337 0.290091 0.697664 --0.0569388 1.38899 -1.30946 -1.23992 --0.0569388 1.38899 0.819685 1.31963 -1.81585 -0.972728 2.05104 2.28032 -1.81585 -0.972728 -1.92006 -2.08268 --1.01512 0.646294 -0.81297 1.26932 --1.01512 0.646294 1.11559 -0.761657 -1.0445 -0.717821 1.23183 1.10558 -1.0445 -0.717821 -1.12348 -0.490429 -1.0445 -0.717821 -0.108348 -0.615149 --0.136536 -0.760205 -0.776007 0.672336 --1.82337 -1.63832 -1.74042 -3.49752 --1.82337 -1.63832 1.75846 3.33195 -1.25952 0.323476 0.742992 -1.51985 -1.25952 0.323476 -0.203174 1.31904 -1.24307 1.74069 -3.13563 0.351259 -1.24307 1.74069 3.06537 -0.557191 -1.48775 1.28767 2.44515 -1.44613 --1.11964 -1.45814 -0.522152 -2.57661 --1.11964 -1.45814 0.444087 2.28675 --0.059592 0.347454 -0.592276 -0.407887 --0.059592 0.347454 -0.0213862 0.714342 --1.70104 -1.73749 -1.39773 -3.60761 --1.70104 -1.73749 1.39436 3.43825 -1.8246 1.14264 2.39718 -2.20217 -1.8246 1.14264 -2.30331 2.0071 --0.409922 1.76763 0.920832 2.28575 --0.409922 1.76763 -1.18957 -2.15414 -0.959112 -1.35118 -2.18806 -0.141411 -0.959112 -1.35118 2.07422 0.477705 -0.594072 1.16923 1.3972 -0.185101 --1.63691 1.56529 -1.40672 3.19743 --1.63691 1.56529 1.41597 -3.00233 -1.24708 -1.39236 -2.4614 -0.638608 -1.33799 1.20924 2.18582 -1.23696 -1.33799 1.20924 -2.15933 0.932842 -0.114998 -0.808752 0.226782 -0.859975 -0.892687 -1.82807 -2.96078 0.389545 -0.892687 -1.82807 2.81359 -0.198054 --1.42397 0.0849431 -1.37447 0.226262 --1.42204 1.26161 -1.2051 2.4517 --1.42204 1.26161 1.24111 -2.17629 --0.959032 -1.7562 -0.177073 2.72085 -1.4583 1.60674 3.02869 -1.1104 -1.4583 1.60674 -3.04953 0.899875 --1.30653 1.28473 -0.979938 2.41744 --1.30653 1.28473 0.988397 -2.11689 --1.84602 0.710409 2.46773 -1.37882 --0.49565 -0.14973 0.840075 0.118938 --0.49565 -0.14973 -0.387392 -0.71622 -1.1663 1.49262 -2.59378 0.411501 -1.1663 1.49262 2.52733 -0.678991 -1.82552 -1.66923 3.49575 1.80607 -1.82552 -1.66923 -3.48143 -1.6434 -1.44597 -1.44992 0.00172291 -0.237358 --1.32572 1.29492 1.01732 -2.15525 --1.7117 -0.914573 -1.93889 -1.92847 --1.7117 -0.914573 2.08572 1.71013 --1.11751 -1.563 -0.426067 -2.75524 --1.11751 -1.563 0.336574 2.49673 -0.934673 0.477228 0.88545 -1.06274 -0.934673 0.477228 -0.86847 0.214915 -0.934673 0.477228 -0.0169797 0.847828 --0.874972 -1.50527 -0.0793091 -2.43189 --0.874972 -1.50527 -0.0909573 2.14545 --0.970197 1.46337 -0.26979 2.45448 --0.970197 1.46337 0.137755 -2.1524 --0.644489 1.48203 0.240124 2.16348 --0.644489 1.48203 -0.506868 -1.89497 -1.59603 1.87112 3.70262 -1.12496 -1.59603 1.87112 -3.72871 0.962001 -1.96455 1.57622 3.41229 -2.18665 -1.96455 1.57622 -3.37836 2.03272 -1.36445 0.994133 1.83486 -1.43524 -1.36445 0.994133 -1.73518 1.09654 --1.13234 1.39598 -0.59506 2.48145 --1.13234 1.39598 0.530421 -2.17329 --1.6539 0.0474522 2.28955 -0.0837709 --1.6539 0.0474522 -1.91351 0.107965 --1.18049 -0.142155 -0.934994 -0.551371 --0.844646 -1.01814 0.357256 0.975856 --0.844646 -1.01814 0.0693604 0.723314 -1.88574 0.81917 1.77596 -2.49067 -1.88574 0.81917 -1.61317 2.31696 -1.03871 -0.983067 1.59495 0.932623 -1.03871 -0.983067 -1.5945 -0.466718 -1.5202 -1.8508 3.58115 0.988645 -1.5202 -1.8508 -3.61498 -0.818026 --1.36054 -1.92848 -0.520855 -3.67404 --1.36054 -1.92848 0.460345 3.50459 --1.36054 -1.92848 0.06051 0.169455 -1.7248 -0.88199 -1.67182 -1.92857 -0.543717 -1.70886 -2.39549 0.842906 -0.543717 -1.70886 2.13989 -0.658084 -0.199181 1.32319 -1.52492 -0.900204 -0.199181 1.32319 0.907516 0.795076 -0.199181 1.32319 0.617405 0.105127 --1.443 -1.21419 1.32493 2.0998 --1.72543 0.759126 2.2049 -1.41301 --1.72543 0.759126 -2.01741 1.61868 -1.50842 -1.77842 3.42086 1.03971 -1.50842 -1.77842 -3.45089 -0.858772 --0.820519 -1.34479 -0.0564868 1.77806 --1.93324 1.00138 -2.36557 2.19904 --1.93324 1.00138 2.48691 -2.02755 -0.478997 1.77411 2.1641 0.862107 --0.659991 0.987261 -0.281486 -0.986179 -1.66931 -0.366968 0.851436 2.19397 -1.66931 -0.366968 -0.53827 -2.05801 --1.99007 -1.45671 2.28723 3.06634 --1.01329 1.66051 0.0293838 -2.58772 -1.98877 0.401955 0.957069 -2.81169 -1.98877 0.401955 -0.732881 2.71903 -1.98877 0.401955 -0.224188 0.0926628 -1.62824 -1.88967 3.77513 1.17354 -1.62824 -1.88967 -3.79892 -1.01485 -1.62824 -1.88967 0.0237867 -0.15869 -1.43184 1.31737 2.45542 -1.31866 -1.43184 1.31737 -2.4357 1.05645 --1.15084 1.0762 -0.845695 1.96576 -0.418374 1.29081 1.25277 0.209503 --0.662086 0.978289 -0.222753 1.53206 -0.112895 -0.83333 0.756976 0.300664 --1.97312 -0.745569 2.7107 1.51137 --1.97312 -0.745569 -2.54328 -1.65987 --1.79277 0.695338 -2.17231 1.50493 -1.08737 -0.961589 -0.0290211 -0.458363 -1.79273 0.251225 0.641397 -2.43282 -0.510322 1.39362 1.56405 0.256463 --0.104654 0.169788 -0.10653 0.578896 -0.941135 1.87508 -3.09589 -0.351131 -0.941135 1.87508 2.96125 0.168347 --1.67686 -1.76539 -1.32247 -3.64522 --1.67686 -1.76539 1.31398 3.47648 -1.02766 -1.3823 -2.29004 -0.239031 -1.02766 -1.3823 2.19641 0.555671 --1.34563 -0.911469 -1.25063 -1.7829 --1.34563 -0.911469 1.3975 1.44143 --0.524457 -0.680378 -0.245961 -1.14349 --1.79146 0.0216158 2.5404 -0.0404256 --1.79146 0.0216158 -2.22344 0.0485692 --0.550263 1.58596 0.489595 2.20412 -1.71823 0.623531 1.33644 -2.23341 -1.71823 0.623531 -1.10226 2.04163 --1.07553 -1.99342 0.097438 -3.48565 --1.07553 -1.99342 -0.205074 3.32292 --1.07553 -1.99342 0.107636 0.162735 -1.67409 0.869153 1.78079 -2.05677 -1.67409 0.869153 -1.61776 1.82373 --0.714294 0.596158 -0.465367 1.13363 --0.714294 0.596158 0.872441 -0.495928 --0.285344 -1.84153 -1.4764 2.13033 --0.285344 -1.84153 1.20546 -2.21808 --0.536846 -0.375101 0.844747 0.283487 -1.49036 -0.917279 1.77579 1.69772 -1.49036 -0.917279 -1.63066 -1.39972 --1.4032 0.0204891 -1.2982 0.0596242 --1.4032 0.0204891 -0.575554 -0.0278063 --1.89663 -0.438324 2.67499 0.857662 --1.89663 -0.438324 -2.43905 -0.975637 -0.850553 1.99858 -3.22089 -0.650502 -0.850553 1.99858 3.07437 0.49693 -0.850553 1.99858 0.146517 0.153572 -1.18344 0.855081 1.50242 -1.22949 -1.18344 0.855081 -1.38619 0.769614 --0.703511 -0.963697 -0.281251 -1.54161 --0.703511 -0.963697 -0.227342 0.926369 --0.703511 -0.963697 0.508592 0.615239 -1.93835 -0.413708 0.974208 2.70728 -1.93835 -0.413708 -0.741212 -2.60538 -1.83448 -0.220223 0.581555 2.51434 -1.83448 -0.220223 -0.298892 -2.44837 -1.37578 0.68875 -1.06982 1.2512 -0.131175 1.99575 2.05499 1.78184 -0.775792 1.78886 0.17842 0.194107 --0.788878 0.140256 1.09114 -0.136051 --0.788878 0.140256 -0.517976 -0.591852 --1.76633 -1.93752 -1.35612 -4.0958 --1.76633 -1.93752 1.34277 3.95078 --1.71409 1.3626 -1.71065 2.83845 --1.71409 1.3626 1.75852 -2.63548 --1.47504 -1.47996 -1.15132 -2.90229 --1.47504 -1.47996 1.1515 2.6723 -1.61654 0.546371 1.16731 -2.06728 -1.61654 0.546371 -0.886062 1.86118 -1.63836 1.11191 2.22056 -1.85475 -1.63836 1.11191 -2.12772 1.61603 -1.63836 1.11191 -0.0928411 0.238722 -0.119482 -0.529019 0.114424 -0.776718 -0.119482 -0.529019 0.67851 0.39374 -1.08681 -1.82597 -3.15254 0.0307068 -1.08681 -1.82597 3.04805 0.163815 --0.865027 0.984565 0.491257 -0.971725 -0.0911955 1.74599 -1.90644 -1.5249 -0.0911955 1.74599 1.57841 1.49694 --1.61219 1.8688 -1.0922 3.80269 --1.61219 1.8688 1.06816 -3.64001 -1.23095 -1.01736 1.78489 1.19994 -1.23095 -1.01736 -1.7255 -0.815444 --0.015923 1.02815 -1.04256 -0.817345 --0.015923 1.02815 0.367142 1.0319 --1.1602 1.5516 -0.511029 2.77388 --1.1602 1.5516 0.434383 -2.516 --1.1602 1.5516 0.0766466 -0.257877 -1.69853 0.736038 1.54108 -2.15889 -1.69853 0.736038 -1.33801 1.94391 -1.94117 0.905004 1.97441 -2.56656 -1.94117 0.905004 -1.83349 2.39882 -1.15412 0.444286 -0.258267 1.0306 -1.15412 0.444286 -0.640799 0.321412 -1.4362 -1.46997 2.7446 1.19537 -1.4362 -1.46997 -2.75104 -0.95984 -0.879889 -1.05266 1.56147 0.657283 -0.879889 -1.05266 -1.65339 -0.179092 --1.81191 1.57235 -1.76694 3.3471 --1.81191 1.57235 1.79179 -3.17502 -0.696095 1.61503 2.18603 0.268898 --1.57739 -1.45843 -1.36802 -2.93695 --1.57739 -1.45843 1.38592 2.72051 -1.65846 -1.71394 3.43656 1.41189 -1.65846 -1.71394 -3.44258 -1.2365 --0.371426 -1.87722 -1.37927 2.29086 --0.371426 -1.87722 1.12953 -2.39431 -1.55709 -1.30052 2.52327 1.56707 -1.55709 -1.30052 -2.48171 -1.32799 -1.55709 -1.30052 -0.0415681 -0.239076 -0.358839 -1.23985 1.06535 -0.158312 -0.373122 -1.04838 -1.37316 0.477456 -0.373122 -1.04838 1.01207 0.174546 -0.373122 -1.04838 0.361091 -0.652001 --1.77693 -1.63171 1.66118 3.27518 --1.83961 0.173677 2.62068 -0.3312 --1.83961 0.173677 -2.33033 0.389167 --0.0137138 0.910108 -0.959632 -0.714106 --0.946879 -1.34952 0.19799 1.89988 -1.99936 0.42762 1.0114 -2.8299 -1.99936 0.42762 -0.792631 2.73358 --0.670466 0.963869 0.518106 -0.574456 --0.391967 -1.8546 -1.31851 2.27762 --0.391967 -1.8546 1.06693 -2.3893 --0.543764 1.36441 -0.591216 -1.60867 --0.552135 -1.5571 0.453151 -2.16582 --0.552135 -1.5571 -0.73632 1.94518 -1.57884 -0.749647 1.51964 1.93395 -1.57884 -0.749647 -1.30808 -1.67503 --0.394929 -0.457088 -0.226887 -0.903604 --1.50096 -0.480775 1.93072 0.796824 --1.50096 -0.480775 -1.61804 -1.03471 --0.489486 1.69102 0.705154 2.27937 --0.489486 1.69102 -0.974501 -2.11175 --1.62578 1.46971 -0.0217583 -0.20741 -0.56742 1.23491 -1.73586 -0.375198 -0.56742 1.23491 1.43586 -0.0646423 --1.57303 -1.27577 -1.48367 -2.57411 --1.57303 -1.27577 1.53572 2.33588 --1.57303 -1.27577 -0.0520479 0.238232 -1.96458 1.30343 2.8222 -2.38996 -1.96458 1.30343 -2.75251 2.22382 -1.35755 0.515053 -0.653971 1.32478 --1.14687 1.6753 -0.372071 2.98113 --1.14687 1.6753 0.282944 -2.75387 -1.15574 -0.720658 -1.09885 -0.715317 -1.88373 -1.52861 3.24367 2.05012 -1.88373 -1.52861 -3.20902 -1.88379 -0.501984 -0.0256689 0.389167 0.731041 -0.501984 -0.0256689 0.353145 -0.737382 -1.54069 -1.11716 2.167 1.66788 -1.54069 -1.11716 -2.08372 -1.4037 -1.07241 -0.0186812 0.346557 1.24887 -1.07241 -0.0186812 0.302007 -1.2396 -0.715478 0.29209 0.63886 -0.873816 --0.687582 0.924965 -0.286362 1.48591 --0.687582 0.924965 -0.27462 -0.883859 --0.687582 0.924965 0.560983 -0.602049 -0.564923 1.99385 -2.87447 -1.13928 -0.564923 1.99385 2.67536 1.01599 --1.18642 -0.318939 1.5089 0.431418 --1.18642 -0.318939 -1.04283 -0.801568 -0.613594 -1.50744 -2.16078 0.535405 -0.613594 -1.50744 1.89601 -0.260015 -1.59793 -0.356799 0.826077 2.06638 -1.59793 -0.356799 -0.48487 -1.91884 -1.59793 -0.356799 -0.341206 -0.147541 --0.768327 -1.4559 0.0347697 -2.25262 --0.768327 -1.4559 -0.253406 1.95279 --1.31247 -1.21329 1.06695 1.98045 --0.577142 -1.75315 0.653733 -2.48193 --0.577142 -1.75315 -0.888711 2.31127 --0.577142 -1.75315 0.234979 0.170657 --0.0456634 -1.62313 -1.5737 1.52865 --0.0456634 -1.62313 1.19926 -1.56164 --0.69268 1.05118 0.410009 -0.552698 --1.92774 -1.35063 -2.16948 -2.94984 --1.92774 -1.35063 2.23143 2.78052 --1.98075 -1.76878 -1.98143 -3.91274 --1.98075 -1.76878 1.99756 3.7718 --1.90019 -1.88491 -1.70019 -4.10351 --1.90019 -1.88491 1.70142 3.96382 --0.999416 -0.514398 -0.81026 -1.09233 --0.999416 -0.514398 1.18607 0.595894 -1.13298 0.126743 0.471789 -1.34249 -1.13298 0.126743 0.149086 1.27389 --0.264372 -1.11803 0.297472 -1.34608 --0.264372 -1.11803 -0.843945 1.07757 --0.458217 0.873304 -0.0770856 1.28672 -0.898788 1.00723 1.51791 -0.721386 -0.898788 1.00723 -1.58947 0.226222 --1.60497 1.71355 -1.21859 3.47446 --1.60497 1.71355 1.20695 -3.29302 --1.4483 -0.718656 -1.49228 -1.47165 --1.4483 -0.718656 1.71712 1.17712 -0.255669 0.740292 0.804108 -0.381759 -0.255669 0.740292 0.210129 0.779753 --0.315569 1.51277 -1.07626 -1.65473 --0.315569 1.51277 0.709191 1.81705 --0.578731 -1.33363 0.175325 -1.89588 --0.578731 -1.33363 -0.509611 1.57996 -0.451911 -0.964048 -1.33209 0.339249 -0.451911 -0.964048 1.05563 0.308497 -0.451911 -0.964048 0.276462 -0.647746 -1.85726 -0.270496 0.680891 2.55814 -1.85726 -0.270496 -0.4098 -2.4804 --1.7783 0.335136 2.47465 -0.625998 --1.7783 0.335136 -2.19096 0.741952 --0.351503 -0.648555 -0.113742 -1.03421 --0.25431 0.829398 0.0629177 1.11422 --0.25431 0.829398 -0.71642 -0.779362 --0.564849 1.96046 0.942915 2.79119 --0.564849 1.96046 -1.14539 -2.66466 -1.61689 1.85688 3.69427 -1.18345 -1.61689 1.85688 -3.717 1.02036 -1.31305 1.37378 2.45625 -1.05424 -1.31305 1.37378 -2.47037 0.780165 -1.17551 0.498116 -0.365218 0.964844 --1.01489 -0.36025 1.27683 0.424019 --1.01489 -0.36025 -0.823515 -0.898983 --1.01489 -0.36025 -0.45331 0.474964 --0.79342 0.34261 -0.464777 -0.566638 -1.31729 1.92148 -3.56785 0.328041 -1.31729 1.92148 3.50179 -0.499584 --0.315243 -0.138524 0.702985 0.113762 --0.315243 -0.138524 -0.283004 -0.650551 --0.315243 -0.138524 -0.419981 0.536789 --0.958386 -0.700782 -0.723319 -1.32844 --0.958386 -0.700782 1.00379 0.77754 -1.76136 1.17189 2.41629 -2.05658 -1.76136 1.17189 -2.33063 1.8495 --1.69765 0.372545 2.31502 -0.674043 --1.69765 0.372545 -2.01732 0.818924 --1.9978 -0.309107 2.91009 0.624104 --1.9978 -0.309107 -2.67653 -0.699819 --1.9978 -0.309107 -0.233554 0.0757149 -1.20998 -1.70936 -3.04462 -0.314826 -1.20998 -1.70936 2.96969 0.528919 -1.20998 -1.70936 0.0749349 -0.214093 -0.350646 -1.85146 2.12003 -1.19622 -1.58891 0.975198 1.93448 -1.84366 -1.58891 0.975198 -1.80522 1.58348 -1.10726 0.375829 -0.674423 0.23701 -1.90116 -1.44739 3.08378 2.15112 -1.90116 -1.44739 -3.03753 -1.98212 -1.86521 1.58556 3.35049 -1.96351 -1.86521 1.58556 -3.32394 1.79885 -1.2145 -0.869521 -1.42252 -0.83043 --0.410456 -0.262053 -0.301697 -0.765346 --0.410456 -0.262053 0.775432 0.197028 --0.410456 -0.262053 -0.473735 0.568318 --1.09961 0.702769 1.17913 -0.902345 -0.996559 -0.356969 0.755946 1.16425 -0.996559 -0.356969 -0.00241663 -0.984335 -0.0115388 0.546494 -0.747481 -0.459394 -0.0115388 0.546494 0.0723791 0.81386 -0.0115388 0.546494 0.675102 -0.354465 --0.720704 -1.59567 0.251373 -2.41197 --0.720704 -1.59567 -0.470741 2.17243 -0.418029 -1.84268 -2.45521 1.18772 -0.418029 -1.84268 2.19947 -1.06543 -1.91856 1.80087 3.86764 -1.8897 -1.91856 1.80087 -3.85866 1.74564 --0.781708 1.35573 -0.0796922 2.11935 --0.781708 1.35573 -0.143478 -1.76841 --1.37877 -0.358592 1.7773 0.552272 --1.37877 -0.358592 -1.37748 -0.814782 --1.38772 -0.143016 -1.31587 -0.382058 -1.11338 -0.683183 -1.02975 -0.610122 --0.944492 1.97399 0.313817 3.29598 --0.944492 1.97399 -0.445499 -3.13394 --1.54441 -0.835055 -1.63927 -1.71428 --1.54441 -0.835055 1.81532 1.44859 -1.12257 -0.922685 1.56576 1.09688 -1.12257 -0.922685 -1.5066 -0.635851 -1.12257 -0.922685 -0.0591645 -0.461031 -1.91273 -0.558525 -1.04723 -2.49421 -0.966986 -1.61351 -2.65094 0.0520013 -0.966986 -1.61351 2.52096 0.196646 -0.0727883 -1.84172 -2.00763 1.67855 -0.0727883 -1.84172 1.71291 -1.65923 -1.99226 1.92931 4.22643 -1.93395 -1.99226 1.92931 -4.22234 1.80406 -1.99226 1.92931 -0.00409058 0.129887 -0.121522 -0.1191 0.393477 0.393224 -0.121522 -0.1191 -0.537142 0.139018 -0.121522 -0.1191 0.143665 -0.532242 -1.49167 -0.782099 -1.33629 -1.46722 -1.98529 1.12202 -0.0992392 0.165343 --1.04502 1.62004 -0.24715 2.78532 --1.04502 1.62004 0.13367 -2.53905 --1.10881 -1.31585 -0.618213 -2.32902 --1.10881 -1.31585 0.561221 1.98807 --1.10881 -1.31585 0.0569921 0.340948 -1.94726 1.47339 3.17483 -2.23022 -1.94726 1.47339 -3.12953 2.06869 --1.28854 0.216275 1.67971 -0.313511 -0.617089 1.66012 -2.3973 -0.678365 -0.617089 1.66012 2.15655 0.464146 --1.61688 -1.24403 -1.58924 -2.53853 --1.61688 -1.24403 1.65232 2.30692 -0.487598 1.49919 1.70042 0.455565 -0.487598 1.49919 0.329478 0.25466 --1.33722 0.188505 1.75693 -0.281777 --1.33722 0.188505 -1.23559 0.507618 --1.33722 0.188505 -0.52134 -0.225841 -0.374508 -1.99353 -2.63223 1.44475 -0.374508 -1.99353 2.40401 -1.35638 -0.8387 1.5786 -2.4771 -0.242419 -0.8387 1.5786 2.30702 -0.0183181 --1.50565 0.0902962 2.03419 -0.148413 --1.50565 0.0902962 -1.57411 0.218289 --1.6142 1.35676 -1.51255 2.76051 --1.6142 1.35676 1.55245 -2.53898 -1.94152 0.778406 -1.54857 2.46141 -1.98196 1.55299 3.37535 -2.24354 -1.98196 1.55299 -3.33786 2.09032 -1.98196 1.55299 -0.0374909 0.153224 --0.593698 0.251768 0.906406 -0.205765 --0.593698 0.251768 -0.432105 0.801813 --0.73941 1.31198 -0.0595049 2.01927 --0.73941 1.31198 -0.194417 -1.649 -1.99079 0.189883 0.520142 -2.82939 -1.99079 0.189883 -0.275886 2.78355 -1.37406 -1.28903 2.35637 1.23669 -1.37406 -1.28903 -2.34123 -0.957194 -1.03768 1.76 -2.98138 -0.0586299 -1.03768 1.76 2.86699 -0.150828 --1.12713 -0.277334 1.44262 0.358353 --1.12713 -0.277334 -0.943733 -0.764127 -0.182714 -1.18861 -1.36639 0.78854 -0.182714 -1.18861 0.615387 -0.80682 -0.182714 -1.18861 0.751001 0.0182802 -1.98848 0.847686 -1.72727 2.53429 --0.381597 0.571102 -0.172372 0.987144 --0.381597 0.571102 -0.556508 -0.642957 --0.381597 0.571102 0.72888 -0.344187 -1.66441 1.73085 3.47747 -1.40813 -1.66441 1.73085 -3.48447 1.23514 --0.679107 1.19662 -0.0792457 1.81262 --0.679107 1.19662 -0.247275 -1.38263 -0.138919 1.35781 -1.50063 -1.00215 -0.138919 1.35781 0.936945 0.953674 --1.15791 -0.908715 -0.940086 -1.702 --1.15791 -0.908715 1.07601 1.26743 -0.6663 -1.37908 -2.01521 0.346264 -0.6663 -1.37908 1.76869 -0.00190997 --1.62698 0.31837 2.20258 -0.557543 --1.62698 0.31837 -1.86828 0.705048 --1.20531 -1.16092 0.907339 1.77538 -1.73618 -0.0927537 0.340166 2.31792 -1.73618 -0.0927537 -0.0170814 -2.28556 -1.73618 -0.0927537 -0.323085 -0.0323562 --1.11923 0.855188 -0.901622 1.60314 --1.11923 0.855188 1.06754 -1.14228 -0.0676074 -1.81017 -1.95859 1.64209 -0.0676074 -1.81017 1.6533 -1.62397 --0.25318 1.56093 -1.21562 -1.66525 --0.25318 1.56093 0.850777 1.79281 -1.99891 -0.120007 0.374944 2.84441 -1.99891 -0.120007 -0.128992 -2.81553 -1.80417 -0.247241 0.633916 2.45501 -1.80417 -0.247241 -0.34512 -2.37799 -0.210264 -0.956173 -1.16775 0.57225 -0.0328795 1.32387 -1.34999 -1.07555 -0.0328795 1.32387 0.79324 1.1212 -0.0328795 1.32387 0.556748 -0.045659 -0.369886 -1.54307 -1.97105 0.916453 -0.369886 -1.54307 1.60188 -0.726925 -1.18777 -1.26732 2.15974 0.931387 -1.18777 -1.26732 -2.18415 -0.606519 -0.756404 -1.35208 1.84442 0.166129 -0.756404 -1.35208 0.199805 -0.355164 --1.6308 0.0892764 -1.86259 0.203706 -1.56466 1.67812 3.27318 -1.25351 -1.56466 1.67812 -3.28671 1.06452 -0.204003 1.59871 -1.85864 -1.19574 -0.204003 1.59871 1.47303 1.10625 -0.204003 1.59871 0.385612 0.0894976 -0.234046 0.72384 -0.989526 -0.40594 -0.253866 -1.10843 -1.34639 0.647157 -0.253866 -1.10843 0.869657 0.082276 -0.253866 -1.10843 0.476734 -0.729433 --0.472435 1.5951 0.60899 2.12292 --0.472435 1.5951 -0.906801 -1.9341 --1.77685 1.72928 -1.56599 3.65495 --1.77685 1.72928 1.57063 -3.49218 --1.9459 0.505625 2.75218 -1.00795 --1.9459 0.505625 -2.53733 1.12975 -0.881397 1.38176 2.03705 -0.3217 --1.47086 -0.31662 -1.54681 -0.71678 -1.85284 0.483627 1.09974 -2.52542 -1.85284 0.483627 -0.859958 2.39436 -0.10321 0.741338 -0.925642 -0.512778 -0.662978 -0.953563 -1.42449 0.0871272 -0.662978 -0.953563 1.24956 0.492896 -0.709802 -0.438835 0.77754 0.833793 -0.709802 -0.438835 -0.904592 -0.0352814 -0.709802 -0.438835 0.127052 -0.798511 --1.60198 1.93445 -1.00736 3.93037 --1.60198 1.93445 0.977802 -3.77438 --1.92203 1.19679 2.33299 -2.43956 --1.46379 -0.949984 -0.136384 0.294078 -1.68496 -1.67335 3.37696 1.50516 -1.68496 -1.67335 -3.37604 -1.32812 --1.33588 1.08755 -1.15181 2.08642 --1.33588 1.08755 1.22751 -1.75791 --0.701479 1.98672 0.752012 3.01535 --0.701479 1.98672 -0.927221 -2.87511 --0.787471 -1.24759 -0.0497024 1.55036 --0.185134 -1.96824 -1.79317 2.20557 --0.185134 -1.96824 1.54341 -2.25467 --0.724273 0.088206 -0.526653 0.700803 --0.724273 0.088206 -0.508547 -0.619548 --0.14075 -0.0220146 0.523266 0.0277405 --0.14075 -0.0220146 -0.238894 -0.464106 --0.14075 -0.0220146 -0.284372 0.436365 --1.71845 1.09834 -1.8721 2.30256 --1.71845 1.09834 1.97368 -2.08586 -1.38486 1.99247 -3.78178 0.395928 -1.38486 1.99247 3.72283 -0.554887 --1.66288 1.25374 -1.67507 2.58538 --1.66288 1.25374 1.7397 -2.36434 -1.92368 0.142121 0.423796 -2.69073 -1.92368 0.142121 -0.16005 2.65283 -1.26576 1.78398 -3.24195 0.356384 -1.26576 1.78398 3.17348 -0.553007 --1.66604 -1.8295 0.0151378 0.162883 --1.87001 0.473976 2.61127 -0.919666 --1.87001 0.473976 -2.37672 1.04972 --1.17361 1.63746 -0.456162 2.93879 --1.17361 1.63746 0.375809 -2.70403 -1.63918 1.14501 2.28437 -1.83495 -1.63918 1.14501 -2.19971 1.59872 --1.58489 -1.63904 -1.24119 -3.30531 --1.58489 -1.63904 1.23509 3.11257 --1.58232 -0.397412 2.10133 0.683346 --1.58232 -0.397412 -1.77825 -0.869716 --1.94802 -1.06713 -2.36799 -2.34742 --1.94802 -1.06713 2.47696 2.17734 --1.94802 -1.06713 -0.108968 0.170078 --1.8564 -1.92681 -1.56436 -4.15681 --1.8564 -1.92681 1.55925 4.0171 -1.9891 -0.515196 1.18992 2.79331 -1.9891 -0.515196 -0.981864 -2.67952 -0.0756226 -1.21327 0.637631 -0.987457 --0.589165 1.85528 0.214633 -0.150007 -1.35645 -1.75138 -3.25914 -0.568152 -1.35645 -1.75138 3.20843 0.764732 --1.87957 -1.03751 -2.23503 -2.2526 --1.87957 -1.03751 2.35047 2.07003 -1.17081 1.68186 -2.95679 0.263743 -1.17081 1.68186 2.87523 -0.485987 -0.433886 -1.44254 -1.90048 0.729369 -0.433886 -1.44254 1.52119 -0.459135 -0.725918 -1.38386 -2.06972 0.260243 -0.725918 -1.38386 1.85369 0.0808405 --0.442407 -0.464062 -0.261447 -0.925679 --0.442407 -0.464062 0.774206 0.314834 -1.81996 0.371116 0.875104 -2.4778 -1.81996 0.371116 -0.607636 2.368 --0.688414 1.31062 0.00903086 1.97096 --0.688414 1.31062 -0.293281 -1.61093 --1.98174 1.08592 -2.43237 2.40407 --1.98174 1.08592 2.53762 -2.23965 -1.27205 -1.98699 -3.65502 -0.169904 -1.27205 -1.98699 3.58022 0.332883 -0.504534 -1.51141 -2.06357 0.698153 -0.504534 -1.51141 1.7461 -0.44523 -0.610798 0.0916035 -0.765689 -0.00694472 --1.03937 -1.64761 0.0945133 2.5885 --1.87996 -1.114 -2.19964 -2.41513 --1.87996 -1.114 2.30029 2.23231 --1.16193 -1.27037 -0.739925 -2.29225 --1.16193 -1.27037 0.713152 1.94888 -0.83685 1.01409 1.47369 -0.635946 -0.83685 1.01409 -1.57711 0.128694 --1.66516 -0.0561758 2.30914 0.0996744 --1.66516 -0.0561758 -1.93926 -0.12749 --0.700633 -0.25344 -0.511686 -0.81453 --1.53974 0.962302 -1.58353 1.95382 --1.53974 0.962302 1.71772 -1.68551 --0.667831 1.45527 0.179148 2.15028 --0.667831 1.45527 -0.441737 -1.86603 --0.667831 1.45527 0.26259 -0.284254 -0.0877208 -1.66937 -1.80444 1.42938 -0.0877208 -1.66937 1.44472 -1.40117 --1.96027 -0.949806 -2.44528 -2.09895 --1.96027 -0.949806 2.57535 1.93425 -1.708 -1.97685 4.04542 1.25337 -1.708 -1.97685 -4.06671 -1.10858 -0.979069 1.17815 1.82869 -0.681802 -0.979069 1.17815 -1.90555 0.28164 --0.328963 1.93144 -1.51507 -2.32878 --0.328963 1.93144 1.27154 2.41512 --1.92147 -0.147177 2.78235 0.289022 --1.92147 -0.147177 -2.51408 -0.331846 -1.08023 -1.61449 -2.75115 -0.152085 -1.08023 -1.61449 2.65207 0.395627 -1.80968 -1.40308 2.92089 1.99239 -1.80968 -1.40308 -2.87393 -1.80751 -1.66167 1.32169 2.64403 -1.75413 -1.66167 1.32169 -2.59524 1.53774 --0.652568 0.355304 -0.461683 0.89182 --0.652568 0.355304 0.930556 -0.296887 -0.27637 -1.58805 -1.92849 1.08991 -0.27637 -1.58805 1.55114 -0.960886 --1.74327 -0.366538 -0.286551 0.132131 -0.0596987 1.25419 -1.31075 -0.974231 -0.0596987 1.25419 0.695705 1.03194 -0.969085 1.39055 -2.26274 0.130757 -0.969085 1.39055 2.14793 -0.451534 -0.969085 1.39055 0.114816 0.320777 -1.79165 1.7033 -3.53024 1.53953 --1.7003 0.752944 2.15968 -1.3873 --1.7003 0.752944 -1.96827 1.59933 --1.78905 -0.523828 2.43628 0.988181 --1.78905 -0.523828 -2.19706 -1.14526 --0.581623 1.4306 0.271734 2.02584 --0.581623 1.4306 -0.576116 -1.7515 --1.21826 1.26556 -0.83879 2.32346 --1.21826 1.26556 0.830445 -1.9944 --1.22725 0.846473 -1.07538 1.6292 --1.22725 0.846473 1.24895 -1.22949 --1.3999 1.54483 -0.955747 2.96683 --1.3999 1.54483 0.933622 -2.73658 --1.87538 0.182025 2.68843 -0.35176 --1.87538 0.182025 -2.40986 0.408608 --1.90423 -1.00492 -2.30188 -2.19415 --1.90423 -1.00492 2.42327 2.01701 --1.47144 0.129731 -1.50271 0.318186 -1.19586 -1.75584 -3.12205 -0.245173 -1.19586 -1.75584 3.04177 0.450654 -1.49978 0.79977 1.5745 -1.77271 -1.49978 0.79977 -1.37912 1.47654 -1.49978 0.79977 -0.19538 0.296175 -0.921722 -1.09229 1.65262 0.678404 -0.921722 -1.09229 -1.73465 -0.228567 --0.644571 0.954507 -0.316815 -0.944263 --1.44814 -0.520971 1.82448 0.8413 --1.44814 -0.520971 -1.51758 -1.10937 --1.44814 -0.520971 -0.306901 0.26807 --1.34511 1.11682 1.21889 -1.82227 --0.882991 0.513456 -0.668498 1.08001 --0.882991 0.513456 1.06217 -0.528082 --1.13465 0.994876 0.946196 -1.3912 -1.8126 0.67593 1.46567 -2.39797 -1.8126 0.67593 -1.26101 2.22287 -1.8126 0.67593 -0.20466 0.175098 --0.881605 -1.01727 -0.477352 -1.72063 --0.881605 -1.01727 0.0324925 0.648812 -1.93825 1.31828 -0.0665797 0.169632 --1.03669 0.122613 -0.597396 -0.484916 --1.34399 -1.95505 -0.460213 -3.70925 --1.34399 -1.95505 0.396259 3.5431 --1.57691 -1.57468 -1.27775 -3.16888 --1.57691 -1.57468 1.27856 2.96701 --0.657248 -1.49286 0.233589 -2.1924 --0.657248 -1.49286 -0.493095 1.92561 --1.98556 -0.659716 2.77498 1.33847 --1.98556 -0.659716 -2.59322 -1.47548 -1.8097 1.1927 2.48931 -2.14045 -1.8097 1.1927 -2.40586 1.94401 -1.91602 0.425812 0.99541 -2.66056 -1.91602 0.425812 -0.759432 2.55277 -1.45822 -1.24169 2.33722 1.42714 -1.45822 -1.24169 -2.29662 -1.15828 --1.35012 -0.705502 -1.32071 -1.42727 --1.35012 -0.705502 1.55897 1.09162 -1.2273 0.913841 1.61876 -1.2618 -1.2273 0.913841 -1.51694 0.84466 -0.350357 -1.31246 1.13181 -0.359294 -0.350357 -1.31246 0.524958 -0.355485 -0.665257 -1.10987 1.41726 0.336298 --1.06144 -1.13183 -0.670437 -2.00035 --1.06144 -1.13183 0.655843 1.56782 --1.06144 -1.13183 0.0145946 0.432533 -1.24277 1.04111 1.83139 -1.20237 -1.24277 1.04111 -1.77728 0.828916 --0.402545 -0.10909 -0.345629 -0.666596 --0.402545 -0.10909 -0.423246 0.579799 -1.19015 -0.0305644 -0.586482 -0.0167981 --1.77666 1.19548 -1.94042 2.53197 --1.77666 1.19548 2.02316 -2.33082 -0.333307 0.45029 0.16467 0.735523 --0.367128 1.13607 0.221034 1.46378 --0.367128 1.13607 -0.725475 -1.15596 -0.27787 -0.523324 -0.86567 0.276043 -0.27787 -0.523324 0.707928 0.473305 --1.49081 -0.581582 1.8675 0.964242 --1.49081 -0.581582 -1.59299 -1.22533 -1.36491 -1.2926 -0.012574 -0.280762 -1.78758 0.665437 1.43736 -2.35276 -1.78758 0.665437 -1.22634 2.17289 --1.22988 1.55253 0.575451 -2.58679 --0.774672 0.999066 -0.34694 1.63037 --0.774672 0.999066 -0.0674511 -0.912719 --0.774672 0.999066 0.414391 -0.717654 --0.208637 1.41774 -1.14124 -1.42007 --0.208637 1.41774 0.707116 1.56561 --1.22744 0.647497 -1.12684 1.30854 --1.22744 0.647497 1.40415 -0.917921 -0.589273 -1.37404 -1.94492 0.453924 -0.589273 -1.37404 1.65401 -0.108484 --0.298816 -1.32001 0.447938 0.214282 --1.47645 -0.152752 -1.52041 -0.369414 --0.548883 -1.87259 0.851053 -2.62991 --0.548883 -1.87259 -1.0708 2.49012 --0.0452452 0.926236 -0.944562 -0.74874 --1.22568 1.57237 -0.609317 2.86915 --1.22568 1.57237 0.547253 -2.62321 -1.80917 1.33967 2.78939 -2.03849 -1.80917 1.33967 -2.73241 1.84941 --0.430855 -1.76026 0.266289 0.138131 --0.443949 -1.48986 0.519207 -1.94825 --0.443949 -1.48986 -0.856197 1.7358 -1.99724 -1.10702 2.42467 2.58098 -1.99724 -1.10702 -2.32294 -2.41776 --0.729556 1.22296 -0.123342 1.88943 --0.729556 1.22296 -0.156963 -1.46131 -1.05827 1.69041 -2.87194 0.0443886 -1.05827 1.69041 2.76397 -0.269894 -1.23201 1.79325 -3.2288 0.281036 -1.23201 1.79325 3.15371 -0.477644 --0.512573 1.13508 0.0679701 1.59605 --0.512573 1.13508 -0.5188 -1.21575 --1.89948 -1.2558 -2.16536 -2.72828 --1.89948 -1.2558 2.24121 2.55134 --1.73558 0.0193075 2.43709 -0.0353037 --1.73558 0.0193075 -2.0978 0.0434762 --1.25988 0.0628918 1.65894 -0.089296 --1.25988 0.0628918 -0.958009 0.344278 --1.25988 0.0628918 -0.700933 -0.254982 -1.20183 0.441078 -0.323498 1.10123 -1.78149 0.404569 -0.663067 2.27427 --1.67316 0.104717 -1.95875 0.236724 --1.38558 1.84309 -0.657028 3.53087 --1.38558 1.84309 0.604519 -3.34971 --1.38558 1.84309 0.0525082 -0.181163 -0.562811 1.66323 -2.34605 -0.765246 -0.562811 1.66323 2.08727 0.561789 -1.88088 -1.9148 4.08504 1.69696 -1.88088 -1.9148 -4.08761 -1.55828 --1.58355 -0.549858 2.04474 0.952397 --1.58355 -0.549858 -1.77447 -1.17368 -0.466199 1.50832 -2.02174 -0.749072 -0.466199 1.50832 1.68387 0.505548 --0.609104 -1.88713 0.774667 -2.73176 --0.609104 -1.88713 -0.980287 2.58503 -1.86394 1.35783 2.86686 -2.13907 -1.86394 1.35783 -2.80965 1.95977 -0.866882 0.119497 -0.740192 0.0348501 -1.18498 1.01391 -1.70082 0.727003 -1.74361 -1.87673 3.86511 1.43342 -1.74361 -1.87673 -3.87639 -1.28163 -1.74361 -1.87673 0.0112829 -0.151786 -1.25074 -1.0478 1.8479 1.21058 -1.25074 -1.0478 -1.79396 -0.841783 --1.51567 1.63243 -1.1078 3.23386 --1.51567 1.63243 1.0932 -3.03222 -1.72686 1.90892 3.91776 -1.36467 -1.72686 1.90892 -3.9329 1.21469 --1.11105 -1.99172 0.029121 -3.52341 --1.11105 -1.99172 -0.130718 3.35991 -1.68081 -1.61631 3.25493 1.54866 -1.68081 -1.61631 -3.24813 -1.36517 --1.73193 0.736895 2.22946 -1.37335 --1.73193 0.736895 -2.03659 1.5752 --1.88066 -0.0954197 2.70708 0.184613 --1.88066 -0.0954197 -2.42342 -0.214728 -1.49545 -0.495967 1.05149 1.8674 -1.49545 -0.495967 -0.711732 -1.63317 -1.80805 -1.15683 2.41565 2.15989 -1.80805 -1.15683 -2.32512 -1.96187 --1.80577 -0.368377 -2.24843 -0.815274 --0.307775 -1.07526 0.218434 -1.3512 --0.307775 -1.07526 -0.769279 1.0505 --0.0116155 1.93017 -2.0064 -1.91781 --0.0116155 1.93017 1.73824 1.92371 --1.99523 1.65501 -2.10525 3.66859 --1.99523 1.65501 2.13294 -3.52236 --1.78176 0.297966 -0.289922 -0.104664 --0.399368 -1.77125 -1.21098 2.14836 --0.399368 -1.77125 0.941063 -2.27668 -1.72657 -0.206257 0.555662 2.30678 -1.72657 -0.206257 -0.237647 -2.23452 --1.69186 -1.85271 -1.27526 -3.84335 --1.69186 -1.85271 1.26097 3.68491 --0.987105 0.633152 -0.778025 1.24588 --0.987105 0.633152 1.09269 -0.724531 -1.82235 1.23069 2.57494 -2.14135 -1.82235 1.23069 -2.49819 1.94885 -1.1838 -0.976276 -1.62741 -0.738202 -1.59982 0.153825 0.465419 -2.07174 -1.59982 0.153825 -0.0943109 2.00725 -1.59982 0.153825 -0.371108 0.0644968 --1.20719 -1.56649 -0.581248 -2.84218 --1.20719 -1.56649 0.515283 2.59288 -1.83549 -0.172493 -0.286387 -0.051941 --1.73958 0.997249 -1.96187 2.10714 --1.73958 0.997249 2.08747 -1.89438 -1.335 -1.56082 2.82072 0.918637 -1.335 -1.56082 -2.85759 -0.68595 -1.335 -1.56082 0.0368698 -0.232687 -1.61841 1.60224 3.16961 -1.43365 -1.61841 1.60224 -3.16811 1.24126 -1.61841 1.60224 -0.0014946 0.192392 -1.43657 -1.24608 -2.29248 -1.11099 --1.43187 0.277539 1.8845 -0.439704 --1.43187 0.277539 -1.46063 0.646924 -1.51285 1.5529 2.97451 -1.26792 -1.51285 1.5529 -2.98064 1.05598 --0.70723 0.650141 -0.44013 1.18819 --1.58117 -1.72584 -1.15906 -3.47877 --1.58117 -1.72584 1.1433 3.2965 -0.00814451 -0.980423 -1.02814 0.757072 -0.00814451 -0.980423 0.329692 -0.989644 --1.07496 -0.177779 1.39927 0.220334 --1.07496 -0.177779 -0.832833 -0.666544 -1.2483 -1.3655 2.38287 0.94675 -1.2483 -1.3655 -2.41037 -0.659319 --1.27657 1.17563 -0.9978 2.20635 --1.27657 1.17563 1.03184 -1.87292 --1.79536 -1.66073 -1.66234 -3.52327 --1.79536 -1.66073 1.67564 3.35646 -1.84771 -0.922555 1.96664 2.36872 -1.36252 1.62571 2.97125 -0.906362 -1.36252 1.62571 -3.01009 0.688664 -1.36252 1.62571 0.0388403 0.217698 --1.24926 0.666053 -1.15897 1.34199 --1.24926 0.666053 1.42468 -0.960848 -0.955778 -1.91543 -3.18527 0.366931 -0.955778 -1.91543 3.05496 -0.192026 --0.865142 -1.06679 0.119138 0.611449 --1.98941 1.10903 -2.43797 2.45821 --1.98941 1.10903 2.53925 -2.29484 --1.75479 -0.304192 -0.296741 0.111759 --1.34556 0.386381 1.71628 -0.583747 --1.34556 0.386381 -1.32251 0.871322 -0.608586 -1.481 -2.11688 0.518759 -0.608586 -1.481 1.8464 -0.231177 -1.38722 -1.309 -2.38989 -0.97109 --1.30383 -1.26787 -0.986515 -2.38564 --1.30383 -1.26787 0.998808 2.08066 --0.121414 1.74306 -1.60832 -1.78506 --0.121414 1.74306 1.28794 1.83545 -1.10086 1.62888 -2.79561 0.177963 -1.10086 1.62888 2.7009 -0.416673 -1.13667 -0.457728 -0.246992 -0.990347 -1.11974 -0.509551 -0.262888 -0.885866 -1.11974 -0.509551 -0.71709 -0.402654 --1.75965 -1.01802 -1.99375 -2.1583 --1.75965 -1.01802 2.11436 1.95019 -0.449186 1.20621 -1.61031 -0.50521 -0.449186 1.20621 1.22 0.0169905 --0.059613 1.11579 -1.06721 -0.935277 --0.059613 1.11579 0.442027 1.1226 --0.586386 -1.60559 0.461123 -2.27459 --0.586386 -1.60559 -0.722515 2.06168 --1.7328 0.306244 2.39669 -0.561286 --1.7328 0.306244 -2.09367 0.678263 --1.42498 1.16927 1.32828 -1.99496 -1.69779 -1.93987 3.95467 1.26998 -1.69779 -1.93987 -3.97464 -1.12103 --1.45492 1.24147 -1.27904 2.43495 --1.45492 1.24147 1.32499 -2.16486 -0.246859 1.31881 0.933187 0.664117 --1.1213 1.99717 -0.115914 -3.38272 -0.683087 0.0268711 0.40183 -0.867922 -0.683087 0.0268711 0.359616 0.867069 --1.23744 0.351982 -1.13168 0.83732 -1.78321 -1.51163 3.12586 1.85137 -1.78321 -1.51163 -3.09638 -1.67088 -1.25946 -1.66255 -2.9966 -0.452457 -1.25946 -1.66255 2.93493 0.672553 -1.35474 -1.19786 2.17895 1.27518 -1.35474 -1.19786 -2.14607 -0.972988 -1.35474 -1.19786 -0.0328772 -0.302197 -1.06322 -0.622577 -0.945599 -0.4725 -0.728122 -0.870112 1.2179 0.629302 -0.728122 -0.870112 -1.34128 -0.0248277 -0.728122 -0.870112 0.123384 -0.604474 --1.21672 -1.2094 0.882046 1.88152 -1.25556 0.637103 1.20805 -1.44183 -1.25556 0.637103 -0.883891 0.97415 -1.25556 0.637103 -0.324163 0.467678 -0.746664 0.308132 0.165788 0.859311 -0.746664 0.308132 -0.825571 0.0414763 --1.15863 0.885057 -0.950995 1.66501 --1.15863 0.885057 1.10067 -1.22914 -1.34831 -1.37792 2.49509 1.11425 -1.34831 -1.37792 -2.50258 -0.847336 -0.68414 1.98615 -3.0056 -0.92911 -0.68414 1.98615 2.82688 0.788296 -0.68414 1.98615 0.178723 0.140814 --0.49195 -0.957522 -0.0519603 -1.39176 --0.49195 -0.957522 -0.512338 0.966326 -1.67123 -1.02387 2.07239 1.97064 -1.67123 -1.02387 -1.95475 -1.7364 --1.86274 1.69961 -1.77656 3.66207 --1.86274 1.69961 1.79117 -3.50537 --1.86274 1.69961 -0.0146007 -0.1567 --0.410139 1.41553 0.473714 1.81539 --0.410139 1.41553 -0.846859 -1.58967 -0.512193 -1.46168 -2.00063 0.640052 -0.512193 -1.46168 1.67515 -0.358389 -1.53505 0.364257 0.832941 -1.95581 -1.53505 0.364257 -0.467567 1.79042 -1.53505 0.364257 -0.365374 0.165395 --0.880405 1.18099 0.212593 -1.47599 -0.565581 -1.04135 -1.48591 0.25185 -0.565581 -1.04135 1.23542 0.312093 --1.29471 -0.755791 -1.21461 -1.50004 --1.29471 -0.755791 1.43266 1.13536 --1.29471 -0.755791 -0.218052 0.364685 --1.86448 -1.11225 -0.100902 0.185774 --1.37918 1.64151 0.796211 -2.9182 --0.372562 1.34614 0.43747 1.69052 --0.372562 1.34614 -0.849661 -1.45504 --1.43632 -1.6571 -0.93033 -3.214 --1.43632 -1.6571 0.900925 3.00731 -0.0634823 0.922867 0.296009 0.923133 -1.78606 1.28316 2.65718 -2.03152 -1.78606 1.28316 -2.59185 1.83505 -0.438181 -1.6397 -2.17863 0.924755 -0.438181 -1.6397 1.87133 -0.744956 --1.35164 -1.04819 -1.19995 -2.0252 --1.35164 -1.04819 1.29225 1.69734 --0.941587 0.906634 -0.62051 1.60085 --0.941587 0.906634 0.7433 -1.00383 --0.941587 0.906634 -0.12279 -0.597018 --1.9273 -1.63385 -1.97049 -3.569 --1.9273 -1.63385 1.99637 3.41447 --1.8256 -0.160496 2.59556 0.304404 --1.8256 -0.160496 -2.29933 -0.359591 -0.126987 -1.50616 1.20871 -1.12983 --1.64567 -0.457429 -1.90599 -0.993147 --1.64567 -0.457429 -0.287266 0.181567 --1.17806 1.10353 -0.874355 2.02588 --1.17806 1.10353 0.912448 -1.63748 -0.0150449 -1.41754 -1.42493 1.20137 -0.0150449 -1.41754 0.933918 -1.2321 -0.93373 1.76598 -2.89134 -0.253601 -0.93373 1.76598 2.75211 0.0459 --1.65681 1.48278 -1.50998 3.0443 --1.65681 1.48278 1.53306 -2.84305 --1.16444 0.793025 -0.99319 1.52302 --1.16444 0.793025 1.19597 -1.08904 --1.16444 0.793025 -0.202783 -0.433985 --1.28135 -0.861432 -1.15951 -1.67318 --1.28135 -0.861432 1.32683 1.30087 --0.590349 -1.64534 0.5023 -2.33711 --0.590349 -1.64534 -0.754386 2.13534 -1.33387 0.483111 0.995375 -1.60754 -1.33387 0.483111 -0.563622 1.30232 -1.29345 -0.0366808 0.319102 1.55006 -1.29345 -0.0366808 0.210017 -1.52981 -1.90863 -1.72223 3.68492 1.93937 -1.90863 -1.72223 -3.66962 -1.78892 --0.144506 0.715884 -0.748303 -0.645502 --0.144506 0.715884 0.064523 0.972743 -1.215 0.713638 -0.22827 0.495326 -0.250843 1.44828 0.47437 0.150449 -0.617292 -1.66586 2.16668 -0.471621 -1.79103 1.92395 4.01564 -1.48915 -1.79103 1.92395 -4.02606 1.34494 -0.471662 -1.60434 1.85737 -0.636242 -1.81858 0.449202 1.02651 -2.46453 -1.81858 0.449202 -0.772391 2.33482 -0.128782 -1.87204 -2.1257 1.64399 -0.128782 -1.87204 1.84243 -1.60803 -0.128782 -1.87204 0.28327 -0.035952 -1.35347 -1.61195 2.93588 0.902858 -1.35347 -1.61195 -2.97494 -0.681756 --0.848396 0.88519 0.672145 -0.833253 --1.7032 1.07618 -1.85214 2.25031 --1.7032 1.07618 1.95852 -2.0295 -1.71189 -1.49296 3.0283 1.71937 -1.71189 -1.49296 -3.00255 -1.52746 -1.09303 -1.21206 1.98514 0.825962 -1.09303 -1.21206 -2.02697 -0.46329 -0.427855 0.693994 -1.0575 -0.23344 --1.53417 1.52327 -1.23327 3.03266 -0.957846 0.94579 1.48304 -0.848275 -0.957846 0.94579 -1.50893 0.339522 --1.99172 0.311074 2.89736 -0.626852 --1.99172 0.311074 -2.66271 0.703704 --1.99966 -1.78179 -2.01332 -3.95787 --1.99966 -1.78179 2.02946 3.81935 --1.88242 1.92823 -1.621 4.18407 --1.88242 1.92823 1.61777 -4.0463 -0.995833 1.38295 -2.26868 0.182621 -0.995833 1.38295 2.16415 -0.502998 -1.48926 1.28084 -2.39707 1.19834 -1.14039 1.67236 -2.9118 0.214225 -1.14039 1.67236 2.824 -0.440345 -1.74754 -1.79566 3.69454 1.52163 -1.74754 -1.79566 -3.69902 -1.36261 --0.118845 -1.8815 -1.78331 1.98644 --0.118845 -1.8815 1.50603 -2.02455 --1.59942 -0.543068 -0.269631 0.214622 -0.177297 -1.4433 -1.63851 1.05133 -0.177297 -1.4433 1.14782 -0.961681 -1.69677 1.16712 2.36495 -1.932 -1.69677 1.16712 -2.28163 1.71069 -1.81637 -0.783505 1.67739 2.36701 -1.81637 -0.783505 -1.5001 -2.18004 -1.81637 -0.783505 -0.177294 -0.186973 --0.999844 -0.822453 -0.738798 -1.50886 --0.999844 -0.822453 0.929628 0.966974 --1.97724 -0.295864 2.87116 0.593226 --1.97724 -0.295864 -2.63151 -0.668397 -1.71057 -0.506947 -0.268045 -0.168043 -0.323075 0.380986 0.627345 -0.534192 -0.323075 0.380986 -0.795987 -0.187674 -0.323075 0.380986 0.168643 0.721866 -0.743615 -0.310756 0.661771 0.897349 --1.78538 -0.212412 -2.20954 -0.474202 --1.90197 -0.500176 -0.223534 0.128813 -0.469814 0.335607 0.62503 -0.653204 -0.469814 0.335607 -0.821352 -0.0939418 --0.745556 -1.50715 -0.342085 2.03014 --1.92632 -1.92639 -1.72116 -4.22031 --1.92632 -1.92639 1.72124 4.08549 --1.40957 -1.85092 -0.696705 -3.57009 --1.40957 -1.85092 0.64738 3.39153 --0.589024 1.79733 0.69116 2.56463 --0.589024 1.79733 -0.915513 -2.40217 -0.798636 -1.89738 2.81853 -0.45934 -1.80434 -1.70088 -3.53528 -1.56998 -0.834286 1.88198 -2.99463 -0.550048 -0.834286 1.88198 2.83706 0.37398 --0.216982 -1.1807 -0.940565 1.1221 --0.216982 -1.1807 0.404347 -1.34893 -1.45318 0.357749 -0.406326 0.183194 -1.51083 -0.942493 1.8317 1.7202 -0.194979 -0.508672 -0.817439 0.323994 --1.41758 -0.0130443 1.89629 0.0204251 --1.41758 -0.0130443 -1.33805 -0.0365508 --1.41758 -0.0130443 -0.558238 0.0161257 --1.19346 0.99378 -0.958244 1.85463 --1.19346 0.99378 1.05215 -1.45016 -0.669895 -1.90187 -2.84602 0.855043 -0.669895 -1.90187 2.65422 -0.699069 --1.41366 1.2875 -1.17273 2.49424 --1.41366 1.2875 1.20102 -2.22094 -1.22059 -0.392173 0.837966 1.45526 -1.22059 -0.392173 -0.271679 -1.19162 --0.605707 -0.396502 -0.414351 -0.917467 --0.605707 -0.396502 0.88541 0.314123 --0.605707 -0.396502 -0.471059 0.603344 --1.07462 -0.214214 1.39171 0.265404 --1.07462 -0.214214 -0.850816 -0.707845 --0.400217 -1.20324 0.253486 -1.56444 --0.400217 -1.20324 -0.715553 1.26539 -0.846624 0.83484 1.26374 -0.7873 -0.846624 0.83484 -1.31869 0.190469 -0.846624 0.83484 0.0549482 0.596831 --1.62978 -0.415624 2.17913 0.731039 --1.62978 -0.415624 -1.87503 -0.906979 -0.878237 1.35812 -2.14287 0.000835091 -0.878237 1.35812 1.99668 -0.343483 --1.63052 -0.214781 2.23091 0.375858 --1.63052 -0.214781 -1.87012 -0.483009 -1.19312 -0.690467 1.26247 1.32726 -1.19312 -0.690467 -1.02151 -0.799543 -1.19312 -0.690467 -0.240962 -0.527717 -0.547696 1.11443 -1.56598 -0.318138 -0.547696 1.11443 1.28109 -0.208437 --1.65722 0.784354 -0.185856 -0.227007 -1.81619 -0.565677 1.25217 2.43612 --0.210395 1.18493 -0.951399 -1.12259 --0.210395 1.18493 0.414661 1.3451 --0.209573 0.06136 0.603655 -0.0610558 --1.70484 -0.137716 2.37409 0.248759 --1.70484 -0.137716 -2.03059 -0.309513 -1.4819 1.0518 2.00981 -1.6034 -1.4819 1.0518 -1.91352 1.31457 --0.0427133 -1.78222 1.45616 -1.76529 --0.173404 -1.83757 -1.64568 1.98847 --0.173404 -1.83757 1.36034 -2.04588 --0.749799 1.04196 -0.0786205 -1.04257 --1.11663 -0.995449 0.913576 1.37258 -0.764757 1.4978 -2.28003 -0.292982 -0.764757 1.4978 2.08114 0.00312787 -0.121697 1.13193 0.528619 0.899007 --1.24129 -1.61146 -0.602672 -2.9541 -1.69002 1.86099 3.77742 -1.33415 -1.69002 1.86099 -3.7927 1.17687 -1.35782 0.47071 -0.559423 1.36368 -0.0792717 0.0322911 0.267832 -0.350577 -0.0792717 0.0322911 0.168975 0.406838 -0.0792717 0.0322911 -0.436807 -0.0562611 -1.15023 1.6488 -2.87576 0.2535 -1.15023 1.6488 2.79163 -0.484428 -1.82827 0.156608 0.456877 -2.5008 -1.82827 0.156608 -0.167219 2.45307 -0.120023 1.14697 -1.26813 -0.811445 -0.120023 1.14697 0.718723 -0.0917737 --1.15026 0.705187 -0.995356 1.38375 --1.15026 0.705187 1.24851 -0.946543 --0.0579558 1.92385 1.6609 1.98933 -0.000415724 0.679732 -0.821521 -0.541904 -1.54445 -0.589362 -0.284579 -0.244757 -1.46378 0.778835 1.52215 -1.71989 -1.46378 0.778835 -1.31569 1.40714 --1.68798 -1.83235 -1.28573 -3.79655 --1.68798 -1.83235 1.27265 3.63573 -1.85073 1.15843 2.44542 -2.24565 -1.85073 1.15843 -2.35404 2.05612 -0.16912 -1.14737 -1.31308 0.764793 -0.16912 -1.14737 0.551696 -0.832248 -0.351372 1.24033 0.524705 0.48582 -0.423778 -1.7583 -2.33553 1.07898 -0.423778 -1.7583 2.05911 -0.937011 --0.443013 1.21041 0.21465 1.61465 --0.443013 1.21041 -0.657204 -1.29909 -0.988895 -0.138941 0.49852 1.16768 -0.988895 -0.138941 0.198185 -1.10707 -0.988895 -0.138941 -0.696705 -0.0606101 -1.95452 -1.61874 3.4973 2.12962 -1.95452 -1.61874 -3.4686 -1.97705 --1.77624 1.04138 -2.01729 2.21375 --1.77624 1.04138 2.13256 -2.0094 -1.41278 0.607762 1.2159 -1.69984 -1.41278 0.607762 -0.903339 1.38214 --1.08629 0.481622 1.30938 -0.603764 --1.08629 0.481622 -0.926766 1.05059 -0.565318 -1.22612 1.42247 0.0747434 --1.79996 -0.118804 -2.24246 -0.26641 --1.27758 1.21216 0.999252 -1.94549 -1.96898 0.346402 -0.605807 2.69401 --0.805944 -1.12256 -0.304323 -1.81393 --0.805944 -1.12256 0.0759215 1.26867 --0.805944 -1.12256 0.228401 0.545262 -0.985799 0.304387 0.691371 -1.15871 -0.985799 0.304387 0.0472236 1.01514 -0.985799 0.304387 -0.738595 0.143577 -0.651722 -0.050992 0.420546 0.84225 -0.651722 -0.050992 0.342577 -0.842998 --1.88921 -1.60219 -1.91122 -3.47031 --1.88921 -1.60219 1.93812 3.30952 -1.45679 0.610649 1.23458 -1.77195 -1.45679 0.610649 -0.936393 1.47936 -1.45679 0.610649 -0.298189 0.29259 --1.95859 0.854564 2.62525 -1.73209 --1.95859 0.854564 -2.47719 1.89206 -1.26901 -0.68719 -1.02122 -0.993169 -1.62108 -0.854476 1.72857 1.96499 -1.62108 -0.854476 -1.55881 -1.71508 --1.57187 1.14628 -1.55689 2.32164 --1.57187 1.14628 1.63964 -2.07154 --0.807223 1.33043 -0.139133 2.10573 --0.807223 1.33043 -0.0717439 -1.73797 -1.3744 1.256 2.29742 -1.26416 -1.3744 1.256 -2.27485 0.978323 -0.200674 -1.70687 1.6594 -1.25684 -1.39859 1.28459 2.36839 -1.28462 -1.39859 1.28459 -2.34765 1.0096 -1.39859 1.28459 -0.0207392 0.275017 --1.27051 -0.603434 1.49741 0.87879 --1.27051 -0.603434 -1.20223 -1.24265 -0.29749 -0.632151 -0.951737 0.311255 --0.423247 -1.30208 0.331011 -1.69672 --0.423247 -1.30208 -0.742311 1.42511 --0.423247 -1.30208 0.4113 0.271613 -0.967242 1.51848 -2.48372 0.02914 -0.967242 1.51848 2.35773 -0.306739 --1.30381 1.59662 0.683868 -2.75037 -0.33652 1.53879 -1.92988 -0.956444 -0.33652 1.53879 1.54558 0.781477 --0.937896 -1.17728 0.3464 1.52586 --1.49519 -1.43663 -1.22286 -2.83371 --1.49519 -1.43663 1.23334 2.60052 -1.68713 -0.307048 0.742759 2.23146 -1.68713 -0.307048 -0.424608 -2.11926 --1.90599 -1.49614 -2.02554 -3.25156 --1.90599 -1.49614 2.06632 3.08621 -1.16345 0.461875 0.925555 -1.36102 -0.489707 -1.57178 1.82708 -0.558376 --0.0383517 -1.68719 -1.65878 1.60706 --0.0383517 -1.68719 1.31047 -1.63153 --1.17245 0.674545 -1.03585 1.34147 --1.17245 0.674545 1.30397 -0.919126 -0.0660836 0.918046 -1.0285 -0.662711 --0.965685 -1.1847 -0.488252 -2.01698 --0.965685 -1.1847 0.399007 1.57162 -1.93931 -1.38589 2.98078 2.27828 -1.93931 -1.38589 -2.92409 -2.11151 --0.673896 1.53626 -0.501357 -2.01944 -0.447265 -1.83315 2.22371 -1.00053 -1.73631 -0.155352 0.45912 2.32324 -1.73631 -0.155352 -0.139881 -2.26929 --1.41823 -1.69042 0.82973 3.05975 --1.41823 -1.69042 0.0356928 0.203076 --0.363959 -1.78405 -1.28321 2.12946 --0.363959 -1.78405 1.0099 -2.24655 --1.16058 -0.190109 1.50685 0.251801 --1.16058 -0.190109 -0.943975 -0.630186 -0.272998 -1.5456 1.46849 -0.908682 --1.84403 -0.439656 -2.32475 -0.972477 -1.63762 1.7399 3.47051 -1.3436 -1.63762 1.7399 -3.4813 1.1691 --1.9358 0.641922 2.6801 -1.28091 -0.706399 1.3535 -2.00851 -0.266309 -0.706399 1.3535 1.78367 -0.0907112 -1.79096 1.5215 3.15288 -1.85943 -1.79096 1.5215 -3.12407 1.68076 -1.78306 0.205447 -0.253597 2.34794 --1.59041 1.85936 -1.05578 3.76233 --1.59041 1.85936 1.02992 -3.59699 -1.56714 -0.1032 0.378859 2.00866 -1.56714 -0.1032 0.009828 -1.96351 --1.11831 -1.81467 -0.179301 -3.20397 --1.11831 -1.81467 0.0792909 3.0071 --0.804539 -1.19797 0.0228288 1.45275 -1.06552 1.10383 1.79371 -0.87688 -1.06552 1.10383 -1.81862 0.46847 -1.37365 0.65035 -0.978747 1.26633 --1.69803 -0.617026 2.22415 1.12742 --1.69803 -0.617026 -1.99395 -1.324 -1.40946 0.019539 0.265232 -1.72634 -1.40946 0.019539 0.20169 1.71625 --1.93025 1.75872 -1.87668 3.84815 --1.93025 1.75872 1.89046 -3.70207 --1.85664 -1.2078 -2.10108 -2.60184 --1.85664 -1.2078 2.18405 2.41619 -0.439112 0.38746 0.182632 0.741748 -1.82363 0.0952865 0.336628 -2.4876 -1.82363 0.0952865 -0.0422047 2.45821 --1.1522 0.00659367 1.51354 -0.00867316 --1.35491 1.71759 -0.718095 3.25731 --1.35491 1.71759 0.669207 -3.05325 --1.35491 1.71759 0.0488879 -0.204055 --1.50866 0.911522 1.69574 -1.56663 -1.13267 -1.0981 1.83944 0.984663 -1.13267 -1.0981 -1.83837 -0.59324 -1.13805 0.832393 -1.33398 0.681055 -1.59514 1.22247 2.40244 -1.69765 -1.59514 1.22247 -2.33981 1.45789 -0.202743 -1.33404 0.936415 -0.794643 -0.685604 -1.25484 -1.84773 0.224893 -0.685604 -1.25484 1.61931 0.187315 -0.678897 1.74416 -2.5952 -0.666924 -0.678897 1.74416 2.38569 0.470412 -0.0232224 -0.245559 0.027433 -0.624844 -0.0232224 -0.245559 0.530851 0.322799 --1.98676 1.59466 -2.13211 3.52715 --1.98676 1.59466 2.16567 -3.37677 --1.37875 0.876522 -1.32183 1.73412 --1.37875 0.876522 1.48437 -1.4056 -1.58357 -1.45269 2.83988 1.49539 -1.58357 -1.45269 -2.82218 -1.28006 -1.1016 -0.0321868 0.356624 1.28743 --1.79364 -0.212444 2.52811 0.398267 --1.63191 1.81205 -1.18633 3.7025 --1.63191 1.81205 1.16889 -3.53495 --0.38457 -0.296452 -0.27275 -0.781239 -1.83497 1.01078 -2.01513 2.10477 -0.18981 1.51447 1.30025 1.02355 --1.06594 -1.47073 -0.420542 -2.55165 --1.06594 -1.47073 0.32325 2.25975 --1.83137 1.32154 -1.98111 2.82767 --1.83137 1.32154 2.04341 -2.642 --0.834762 -1.63539 0.116687 -2.59686 --0.834762 -1.63539 -0.294393 2.3587 -0.661725 -1.49427 -2.1845 0.450831 -0.661725 -1.49427 1.94077 -0.164305 --1.53612 -1.02845 -0.113557 0.267279 -0.0163646 0.397969 -0.659113 -0.382184 -0.0163646 0.397969 0.0385491 0.732561 --1.66722 0.555503 2.19404 -0.999061 --1.66722 0.555503 -1.94084 1.19451 -1.73678 0.8554 1.78349 -2.18223 -1.73678 0.8554 -1.61935 1.96849 --1.41439 1.42528 -1.07708 2.75205 --1.41439 1.42528 1.07651 -2.50266 -1.7529 -0.384697 0.893624 2.34766 -1.7529 -0.384697 -0.610023 -2.22253 --1.2545 -1.5068 -0.717846 -2.77564 --1.2545 -1.5068 0.670629 2.51741 -1.21844 -0.948232 1.66701 1.22633 -1.21844 -0.948232 -1.58358 -0.815937 --0.894501 0.644912 -0.65672 1.23954 --0.894501 0.644912 0.984485 -0.664558 -0.438339 -1.59632 1.79564 -0.682779 -0.438339 -1.59632 0.321279 -0.195324 --1.71084 -1.46204 -1.63581 -3.04087 --1.71084 -1.46204 1.66726 2.84578 --1.92056 1.66335 -1.93259 3.62884 --1.92056 1.66335 1.95494 -3.47548 --0.946255 -1.93536 0.264843 -3.22912 --0.946255 -1.93536 -0.397978 3.05966 -1.12096 1.71784 -2.98041 0.136564 -1.12096 1.71784 2.88604 -0.353371 --0.738275 -1.82678 -0.676194 2.61923 -1.84378 -0.846355 1.81282 2.39538 -1.84378 -0.846355 -1.65312 -2.20997 -1.96752 1.60136 3.46988 -2.17261 -1.96752 1.60136 -3.43856 2.02042 -0.430008 1.42116 -1.86831 -0.714239 --0.103649 0.901021 0.668802 -0.285229 -0.188722 1.62005 -1.86768 -1.24061 -0.188722 1.62005 1.49101 1.16165 --1.78437 -1.33375 -1.87472 -2.82396 --1.78437 -1.33375 1.93241 2.63108 --1.70758 -1.3763 -1.68825 -2.86225 --1.70758 -1.3763 1.73325 2.65925 --1.98741 -0.147753 2.91343 0.296729 --1.98741 -0.147753 -2.66281 -0.335256 -0.319954 1.56588 -1.94782 -1.00773 -0.319954 1.56588 1.5715 0.850518 -1.25143 0.706507 -1.06521 0.944483 -1.21852 -1.22408 2.11386 1.02033 -1.21852 -1.22408 -2.12 -0.690351 -0.786038 -1.75237 -2.71969 0.497369 -0.786038 -1.75237 2.54119 -0.292707 --1.27781 1.69655 -0.591643 3.14517 --1.27781 1.69655 0.529911 -2.93109 --1.33251 -1.85165 -0.544619 -3.49456 --1.33251 -1.85165 0.48321 3.31188 -1.98081 -1.78872 3.89761 2.0398 -1.98081 -1.78872 -3.88348 -1.90019 --0.409731 0.891705 -0.0201529 1.27102 --0.409731 0.891705 -0.59315 -0.882809 --1.29772 1.91275 -0.414044 3.57751 --1.29772 1.91275 0.344442 -3.40327 -1.2247 -0.906943 -0.104301 -0.420558 -1.78178 -1.68672 3.49387 1.69683 -1.78178 -1.68672 -3.48504 -1.53112 --1.99429 -0.247624 2.91424 0.498947 --1.99429 -0.247624 -2.67333 -0.561221 --1.99429 -0.247624 -0.240907 0.0622738 -0.417096 1.79586 2.11576 1.00137 -1.37497 -0.721835 1.38851 1.59602 -1.37497 -0.721835 -1.1461 -1.2337 --0.458197 0.956117 0.571524 -0.405212 -1.25164 1.90431 -3.46802 0.21266 -1.25164 1.90431 3.39216 -0.38913 -0.816069 1.22614 -1.89015 -0.0105676 -0.816069 1.22614 1.73299 -0.398489 --1.48849 -1.89382 -0.81283 -3.73437 --1.48849 -1.89382 0.772002 3.56655 -1.79451 1.93961 0.0111804 0.142642 --0.175928 1.62498 -1.39481 -1.67706 --0.175928 1.62498 1.03883 1.76293 --0.912782 0.557827 -0.367862 -0.546308 -0.280472 1.83162 -2.26841 -1.37711 -0.280472 1.83162 1.98659 1.29085 --1.76895 -1.63787 -1.62434 -3.45325 --0.0860102 0.928787 -0.911486 -0.777358 --0.0860102 0.928787 0.24237 1.05002 --0.70634 1.93614 0.678797 2.93681 --0.70634 1.93614 -0.858909 -2.78668 --1.79316 0.409287 2.48268 -0.770432 --1.79316 0.409287 -2.21831 0.902346 -1.9437 0.947182 2.0625 -2.55217 -1.9437 0.947182 -1.93011 2.38292 --0.703792 1.24272 -0.0722139 1.89387 --0.703792 1.24272 -0.220847 -1.48732 --0.703792 1.24272 0.293061 -0.406542 --1.27027 1.75522 -0.521204 3.24813 --1.27027 1.75522 0.454044 -3.04502 --1.9954 -0.921474 2.66646 1.89406 --1.9954 -0.921474 -2.53282 -2.05108 -1.78972 1.85884 3.87207 -1.55117 -1.78972 1.85884 -3.87787 1.40125 -0.98481 1.70965 0.126706 0.222189 --1.60339 -1.26558 -1.54955 -2.57291 --1.60339 -1.26558 1.60676 2.34026 -1.67556 1.13438 2.28748 -1.91193 -1.67556 1.13438 -2.19786 1.68376 --1.47046 -0.761327 -1.52255 -1.55506 --1.47046 -0.761327 1.72898 1.26621 -0.591487 -1.17328 -1.67061 0.300021 --1.81973 -1.40525 -1.90269 -2.99727 --1.81973 -1.40525 1.95104 2.81445 -1.78384 0.431299 0.986526 -2.40035 -1.78384 0.431299 -0.720305 2.26839 -0.244955 -1.42301 0.498378 -0.152479 --1.26163 0.96677 -1.08369 1.84201 --1.26163 0.96677 1.19977 -1.46715 --0.933411 -1.98305 0.344518 -3.29889 --0.933411 -1.98305 -0.477794 3.13906 --1.95284 -1.45937 -2.15338 -3.2036 --1.95284 -1.45937 2.20133 3.0424 --0.170789 -1.02332 0.276305 -1.18188 --0.170789 -1.02332 0.614083 0.263765 --0.850161 -1.54621 -2.84394e-006 -2.47159 --0.850161 -1.54621 -0.178024 2.20186 --1.45586 0.00377988 1.95695 -0.006047 --1.45586 0.00377988 -1.44055 0.00982344 --1.45586 0.00377988 -0.516405 -0.00377645 -1.26349 -1.04656 -0.057776 -0.364641 --1.89229 -0.28014 2.70555 0.545429 --1.89229 -0.28014 -2.44334 -0.6275 --1.89229 -0.28014 -0.262205 0.0820708 --1.43991 1.67064 -0.925401 3.2436 --1.43991 1.67064 0.89517 -3.03946 -0.492128 0.294462 0.597107 -0.679806 -1.29394 -1.08432 1.93899 1.25579 -1.29394 -1.08432 -1.88642 -0.910922 -1.46553 -1.74525 3.31001 0.987132 -1.46553 -1.74525 -3.3433 -0.798088 --0.182991 1.58653 -1.34342 -1.6297 --1.69419 1.8057 -1.32307 3.74572 --1.69419 1.8057 1.31282 -3.58269 -1.95536 -0.952856 2.07981 2.57356 -1.95536 -0.952856 -1.94902 -2.40635 -1.88509 -1.78044 3.7915 1.83467 -1.88509 -1.78044 -3.78318 -1.68628 -1.87131 -0.896353 1.92505 2.42832 -1.87131 -0.896353 -1.77856 -2.24623 -1.82964 1.25539 2.63044 -2.13972 -1.82964 1.25539 -2.55786 1.94963 -1.82964 1.25539 -0.0725763 0.190086 -1.78522 -0.525321 -0.921185 -2.23138 -1.90843 1.37899 2.94372 -2.21751 -1.90843 1.37899 -2.88745 2.04597 -1.53559 1.18852 2.29597 -1.6094 --1.72966 0.384213 -0.286049 -0.140089 -1.33916 1.33033 2.40117 -1.13924 -1.33916 1.33033 -2.4016 0.860853 --1.18252 1.39476 -0.681848 2.51928 --1.18252 1.39476 0.633178 -2.21967 --1.68446 0.677746 2.16917 -1.23544 --1.68446 0.677746 -1.95461 1.44411 --1.68446 0.677746 -0.214553 -0.208671 --1.01648 -1.3287 0.360627 1.92364 --1.37966 -1.59644 -0.873865 -3.04796 --1.37966 -1.59644 0.84148 2.8245 --0.903265 0.00788623 -0.611317 0.614789 --0.903265 0.00788623 -0.605023 -0.606316 --1.9151 1.96458 -1.66056 4.29602 --1.9151 1.96458 1.65725 -4.16312 --1.39209 -0.716234 -1.39189 -1.45497 --1.39209 -0.716234 1.62217 1.13715 -1.7067 1.90189 3.88201 -1.32835 -1.7067 1.90189 -3.89859 1.17631 -0.439154 -1.83232 -2.4649 1.14315 --0.668287 -1.39861 0.120962 -2.0717 --0.668287 -1.39861 -0.395164 1.76201 -1.52035 0.178792 -0.110754 1.85148 --1.41167 -1.94856 -0.602005 -3.7672 --1.41167 -1.94856 0.547963 3.60278 --0.952941 1.54025 -0.170213 2.56295 --0.952941 1.54025 0.0293661 -2.28901 --1.83689 0.963887 -2.17675 2.07909 --1.83689 0.963887 2.3083 -1.88915 --1.3535 -1.47122 -0.927957 -2.79111 --1.3535 -1.47122 0.907957 2.53993 --0.632082 -1.6686 0.235668 0.202825 --0.482868 0.48345 0.789559 -0.333073 -1.96434 -1.66979 3.61809 2.10806 -1.96434 -1.66979 -3.59406 -1.95959 -1.17518 -1.90096 -3.3849 -0.0647773 -1.17518 -1.90096 3.29609 0.243679 -0.304671 1.92613 -2.43809 -1.46327 -0.304671 1.92613 2.18549 1.38254 -1.86498 0.507684 1.14949 -2.54465 -1.86498 0.507684 -0.916846 2.41085 --1.33274 -0.973361 1.32223 1.54219 --1.54914 -0.398511 2.04353 0.674339 --1.54914 -0.398511 -1.71137 -0.872798 -1.92465 -1.94966 4.20643 1.7607 -1.92465 -1.94966 -4.20823 -1.62756 --0.0828062 -1.7151 -1.63023 1.699 --0.0828062 -1.7151 1.29622 -1.73828 -0.6636 1.99885 -3.00284 -0.979416 -0.6636 1.99885 2.82186 0.843384 --1.36459 0.304397 1.77193 -0.463984 --1.36459 0.304397 -1.3379 0.717709 --0.0738096 -0.880726 0.210196 -1.01605 -1.34383 0.519523 1.05459 -1.61444 -1.34383 0.519523 -0.402607 0.323948 --0.669865 -0.831709 -0.319101 -1.36949 --1.48664 1.99057 -0.710908 3.93042 --1.48664 1.99057 0.66478 -3.77483 -1.54663 1.21172 2.34729 -1.61348 -1.54663 1.21172 -2.2875 1.36134 -1.8048 1.13265 2.36488 -2.16827 -1.8048 1.13265 -2.26948 1.96888 --1.97097 1.74125 -1.98217 3.84276 --1.97097 1.74125 2.00015 -3.69925 --0.0465318 0.713865 -0.812178 -0.591472 --0.716522 -0.312633 0.993162 0.279255 --0.716522 -0.312633 -0.520716 -0.86358 --0.113873 1.57425 -1.42666 -1.53859 --0.113873 1.57425 1.03991 1.60767 --1.1286 1.13722 -0.77362 2.05104 --1.1286 1.13722 0.782234 -1.65108 --0.707356 1.69986 0.209373 -0.2055 -1.62451 -0.0226032 0.225119 2.09921 -1.62451 -0.0226032 0.142108 -2.09002 -0.570826 1.26031 1.47177 -0.0321038 -1.78336 -1.99204 4.15758 1.40244 -1.78336 -1.99204 -4.17304 -1.26354 -1.78336 -1.99204 0.0154578 -0.138898 -1.09361 1.67112 -2.86796 0.12738 -1.09361 1.67112 2.76928 -0.35617 --0.818389 0.362544 -0.610781 0.91403 -0.705096 -0.0658325 0.328866 -0.881501 -1.9033 -1.56557 3.33909 2.0621 -1.9033 -1.56557 -3.30763 -1.90052 --1.0554 -1.58644 -0.29721 -2.73779 --1.0554 -1.58644 0.188137 2.48213 --1.69976 1.55597 -1.54327 3.22703 --1.69976 1.55597 1.56038 -3.03924 --1.21191 -1.08038 -0.943444 -2.00681 --1.21191 -1.08038 0.999801 1.62769 -1.45402 1.76989 3.34754 -0.93867 -1.45402 1.76989 -3.38448 0.752267 -1.86516 -0.805986 1.74123 2.45473 -1.86516 -0.805986 -1.57374 -2.27746 --0.860806 1.68974 0.132957 2.71277 --0.860806 1.68974 -0.299206 -2.48936 -1.72001 0.805994 -1.50219 1.95641 --1.38602 0.082472 -1.27684 0.238046 -1.2801 1.37025 2.42026 -0.998587 -1.2801 1.37025 -2.44108 0.717879 -0.828985 1.9067 -3.0325 -0.586312 -0.828985 1.9067 2.87546 0.415966 --1.84852 0.121657 -2.35102 0.273157 -1.83243 1.64847 3.4573 -1.83921 -1.83243 1.64847 -3.44023 1.67562 -1.24174 0.618661 -0.824446 0.941836 -1.64478 -1.3186 2.62519 1.7232 -1.64478 -1.3186 -2.57744 -1.50334 --0.0907543 -1.98774 -1.9655 2.11075 --0.611574 -1.96193 0.868862 -2.85613 --0.611574 -1.96193 -1.06308 2.72295 -0.625613 -1.80561 -2.63746 0.819659 -0.625613 -1.80561 2.42196 -0.647236 --0.494397 1.84729 0.901887 2.51829 --0.494397 1.84729 -1.13676 -2.38369 -1.3916 1.10397 2.0418 -1.40884 -1.3916 1.10397 -1.97527 1.09913 --1.12249 0.707771 -0.952813 1.38113 --0.174504 -1.155 -0.972355 1.06243 --0.174504 -1.155 0.409908 -1.2805 -0.159546 1.98543 -2.32898 -1.75724 -0.159546 1.98543 2.07884 1.71856 -0.0346345 -1.22878 0.642536 -1.05786 -1.11272 -1.98372 -3.48155 0.142696 -1.11272 -1.98372 3.38138 0.022321 -1.11272 -1.98372 0.100166 -0.165017 --1.57682 1.72725 -1.14893 3.47781 --1.57682 1.72725 1.1325 -3.2953 -1.15202 1.17827 1.98242 -0.949658 -1.15202 1.17827 -1.99687 0.589911 -1.85916 -1.34571 -2.7792 -1.95715 --1.85515 -1.6058 -1.83441 -3.45209 --1.85515 -1.6058 1.85853 3.28765 -1.68793 1.76527 3.57234 -1.42432 -1.68793 1.76527 -3.58002 1.25712 --0.72883 -0.789615 0.72545 0.619693 -1.27395 -0.994985 1.77787 1.28448 -1.27395 -0.994985 -1.69811 -0.910388 -0.247181 1.33859 -1.59003 -0.861288 -0.247181 1.33859 0.990196 0.684145 -0.247181 1.33859 0.599834 0.177143 --0.616812 -1.70573 0.535276 -2.45885 --0.616812 -1.70573 -0.768692 2.269 --0.927511 0.750325 -0.666883 1.38399 --0.927511 0.750325 0.922095 -0.802075 --0.927511 0.750325 -0.255212 -0.581911 -1.07125 0.682821 1.19739 -1.15838 -1.07125 0.682821 -1.04924 0.52577 -1.07125 0.682821 -0.14815 0.632612 --0.494677 1.61854 0.607029 2.18286 --0.494677 1.61854 -0.892509 -1.9949 --1.17187 1.49721 0.511686 -2.41705 --1.55909 0.0584068 -0.429227 -0.0385787 --1.62721 -0.0292388 -1.85229 -0.0669987 --1.57373 -0.602531 2.00265 1.04187 --1.57373 -0.602531 -1.74896 -1.27545 -1.15162 1.25766 0.0329304 0.335335 -1.01711 1.71029 -2.87057 -0.0495252 --1.83195 -1.93861 -1.49918 -4.16015 --1.83195 -1.93861 1.49131 4.01968 --0.775937 -1.09628 0.00460949 1.18412 -1.35652 0.637383 1.24504 -1.5988 --0.405393 1.49421 0.573695 1.90726 --0.405393 1.49421 -0.921389 -1.70859 --1.3323 0.227758 -1.24743 0.586238 -1.48172 1.5927 3.02358 -1.16967 -1.48172 1.5927 -3.03922 0.95972 -1.59296 0.640201 -1.07593 1.7617 --1.41545 -0.948723 -1.35927 -1.87711 --1.41545 -0.948723 1.49426 1.56532 --1.41545 -0.948723 -0.134995 0.311788 -0.757182 1.74565 2.49182 0.334902 -0.0856145 0.188634 -0.554127 -0.219893 -0.0856145 0.188634 0.468267 -0.361302 -0.0856145 0.188634 0.0858597 0.581195 -1.14833 0.933153 1.59829 -1.12844 -0.730253 1.89114 -2.89615 -0.740708 -0.730253 1.89114 2.71631 0.575457 --0.573113 -1.88066 0.823514 -2.67452 --0.573113 -1.88066 -1.0372 2.5322 --1.8921 0.800649 2.51574 -1.58491 --1.8921 0.800649 -2.35213 1.75428 --0.899186 0.67365 -0.310583 -0.579872 -0.736349 1.87522 0.180106 0.169443 -1.59269 -1.8445 3.64347 1.14548 -1.59269 -1.8445 -3.66805 -0.979217 -1.04156 1.81512 -3.08752 -0.105025 -1.04156 1.81512 2.97359 -0.0921252 --1.21914 1.17352 -0.900725 2.16729 --1.21914 1.17352 0.921874 -1.81352 --1.21914 1.17352 -0.0211492 -0.353771 --1.02038 0.767412 -0.787572 1.43868 --1.02038 0.767412 1.01493 -0.916955 --1.02038 0.767412 -0.227363 -0.521726 --0.251315 -0.0508023 0.641508 0.0466917 --0.251315 -0.0508023 -0.288087 -0.565706 --0.251315 -0.0508023 -0.353421 0.519014 -1.46112 -1.6545 3.12522 1.06946 -1.46112 -1.6545 -3.15077 -0.86657 --1.10209 -1.95657 -0.109276 3.278 --0.876854 1.58548 -0.00261365 2.56083 --0.876854 1.58548 -0.164041 -2.30381 -1.8044 -0.928964 1.95853 2.2795 -1.8044 -0.928964 -1.81675 -2.0803 -1.99999 1.15682 2.53202 -2.55815 -1.99999 1.15682 -2.43862 2.39523 -0.431457 0.829078 -1.18278 -0.289203 -0.431457 0.829078 0.956115 -0.412285 -0.431457 0.829078 0.226663 0.701488 --1.93325 -0.29272 2.7838 0.57826 --1.93325 -0.29272 -2.5335 -0.658074 --1.57169 -1.3946 1.43063 2.58131 -1.49721 -0.527737 -0.780027 -1.61747 --0.404054 0.199316 -0.316991 0.721454 --0.404054 0.199316 0.771313 -0.154027 --0.404054 0.199316 -0.454322 -0.567427 -0.959155 -1.65756 2.58908 0.13091 --0.743126 -1.8495 0.509912 -2.8392 --0.743126 -1.8495 -0.692186 2.66696 --0.743126 -1.8495 0.182274 0.172239 --0.384576 -0.0953188 0.754577 0.0764399 -1.88272 1.38789 -2.89008 1.98174 -1.98767 0.118096 0.37152 -2.82097 -1.98767 0.118096 -0.122794 2.7921 --1.79289 -1.26326 -1.9355 -2.68203 --1.79289 -1.26326 2.00606 2.48686 -1.87961 0.0316718 -0.279551 0.009049 --1.30391 -0.0437552 -1.01114 -0.225288 --1.30391 -0.0437552 -0.712226 0.16134 -0.120484 0.549852 -0.806855 -0.393055 -1.69182 -0.920205 1.88595 2.0655 -1.69182 -0.920205 -1.73883 -1.83641 --1.18626 0.534946 -0.341444 -0.399255 --0.166797 0.87713 -0.812293 -0.779492 --0.166797 0.87713 0.155499 1.08424 --0.166797 0.87713 0.656794 -0.304748 --0.136506 -1.79268 -1.64605 1.87594 --0.136506 -1.79268 1.34353 -1.9265 --0.136506 -1.79268 0.302516 0.050561 -0.535374 -0.398063 0.691343 0.690449 -1.10238 -1.39865 -2.37214 -0.362015 -1.10238 -1.39865 2.2999 0.663522 -1.72325 1.36464 2.77644 -1.84463 -1.72325 1.36464 -2.72982 1.64298 -0.936839 -0.802502 1.28243 0.918419 -0.936839 -0.802502 -0.00490891 -0.593213 -1.56114 -0.694785 1.41509 1.92341 -1.56114 -0.694785 -1.17875 -1.664 -1.56114 -0.694785 -0.236337 -0.259406 -1.94605 1.8753 4.05976 -1.88115 -1.94605 1.8753 -4.0548 1.7444 --0.792975 -1.38678 -0.146544 1.83924 -1.00471 1.69636 2.7122 -0.16616 -0.247766 -1.95505 -2.40564 1.5862 -0.247766 -1.95505 2.15424 -1.52296 --0.385822 -1.13002 0.500901 0.318569 -0.89951 1.7653 0.147822 0.207018 -0.555991 0.339334 -0.840503 -0.0513603 -0.555991 0.339334 0.192718 0.773634 --0.616565 1.55065 0.354791 2.23031 --0.616565 1.55065 -0.617713 -1.99309 --0.616565 1.55065 0.262922 -0.237218 -1.37562 -0.412963 0.89321 1.68623 -1.37562 -0.412963 -0.45879 -1.44754 --1.53043 -1.45111 -1.28077 -2.88791 --1.53043 -1.45111 1.29378 2.66278 --0.916965 -0.992839 0.562333 1.09503 -1.15729 -0.101534 0.435683 1.37125 -1.15729 -0.101534 0.170375 -1.31573 --1.55767 0.172183 -1.70584 0.396874 --0.624958 -0.8358 -0.382731 0.816722 --0.624958 -0.8358 0.650496 0.53292 --1.26888 -0.0238067 1.67339 0.034002 --1.26888 -0.0238067 -0.896182 -0.266038 --1.26888 -0.0238067 -0.777205 0.232036 -1.74717 -1.08964 2.24439 2.07947 -1.74717 -1.08964 -2.1411 -1.86622 -1.74717 -1.08964 -0.103281 -0.213251 -1.37556 -0.360289 -0.359438 -1.48799 -0.82765 -1.2233 -1.89286 -0.00921272 -0.82765 -1.2233 1.74162 0.417782 --0.793955 1.07973 -0.318567 1.74807 --0.793955 1.07973 0.0608499 -1.13922 --0.793955 1.07973 0.257718 -0.608845 -0.576547 0.664618 0.92731 -0.62088 -0.576547 0.664618 -1.0786 -0.0915651 -0.576547 0.664618 0.151295 0.712445 -0.559968 -1.17092 -1.64625 0.339791 -0.559968 -1.17092 1.35361 0.146011 -0.588433 1.63876 -2.33508 -0.700847 -0.875156 -0.616092 1.02532 0.942483 -0.875156 -0.616092 -1.03259 -0.213728 -1.72768 -0.801792 1.67698 2.18804 -1.72768 -0.801792 -1.49676 -1.97535 -1.85463 -0.360806 0.858581 2.54665 -1.85463 -0.360806 -0.598485 -2.44484 --0.635831 1.83071 0.659971 2.67602 --0.635831 1.83071 -0.86852 -2.51349 --1.59265 -0.796852 -1.74337 -1.65587 --1.59265 -0.796852 1.9297 1.40805 -1.65268 1.26752 2.53091 -1.77648 -1.65268 1.26752 -2.47241 1.55334 --0.961846 -0.896974 0.784986 1.01962 --0.206014 0.428491 0.681096 -0.29201 -0.568759 1.83802 -2.62555 -0.947595 -0.568759 1.83802 2.40145 0.79243 --0.059956 -0.629682 -0.756064 0.547043 --0.059956 -0.629682 0.0682708 -0.882896 --0.059956 -0.629682 0.687793 0.335853 -0.814409 1.9825 -3.15079 -0.697037 -0.814409 1.9825 2.99635 0.543025 -1.6593 0.449988 1.00171 -2.16447 -1.6593 0.449988 -0.704488 1.99923 -0.219335 -0.977787 0.355547 -0.796346 -0.219335 -0.977787 0.838265 0.216583 -1.74329 1.75709 3.60807 -1.54948 -1.74329 1.75709 -3.60955 1.38647 -0.375565 -1.29808 -1.66183 0.671272 -0.375565 -1.29808 0.491906 -0.387687 --1.52022 0.66937 1.87249 -1.133 --1.52022 0.66937 -1.63564 1.39484 -1.54809 1.4192 2.74452 -1.45424 -1.54809 1.4192 -2.72601 1.22887 -1.41428 1.72948 3.22595 -0.901394 -1.41428 1.72948 -3.26565 0.705742 -1.99888 -1.44241 3.14644 2.3656 -1.99888 -1.44241 -3.09481 -2.20923 -0.472665 1.03092 -1.41878 -0.355833 -0.472665 1.03092 1.12141 -0.249954 -0.768975 -1.63981 -2.51458 0.414822 -0.768975 -1.63981 2.32323 -0.177304 -1.24917 1.87073 -3.39863 0.240828 -1.24917 1.87073 3.32345 -0.422989 -0.499814 -1.92332 -2.68004 1.15857 -0.499814 -1.92332 2.45726 -1.03388 --1.99742 0.0947456 2.93783 -0.190838 --1.99742 0.0947456 -2.68705 0.215352 --1.99742 0.0947456 -0.250776 -0.024514 --1.71439 -0.11023 -2.05125 -0.247948 --1.80422 -1.54452 -1.77146 -3.28196 --1.80422 -1.54452 1.79921 3.10676 -1.17201 -0.773663 -1.21439 -0.754605 -0.926453 -0.894572 1.3929 0.844314 -0.926453 -0.894572 -1.41993 -0.300187 -0.926453 -0.894572 0.0270258 -0.544127 -1.50718 -1.88205 3.63173 0.928669 -1.50718 -1.88205 -3.66924 -0.761173 --0.26068 -1.56646 -1.21017 1.68093 --0.26068 -1.56646 0.849063 -1.81001 --0.26068 -1.56646 0.36111 0.129077 --0.661777 -1.06785 -0.159496 -1.63832 --0.661777 -1.06785 -0.257561 1.12546 -1.92287 1.12107 2.41161 -2.41682 -1.92287 1.12107 -2.31221 2.24042 -1.0542 1.98793 -3.42692 -0.259983 -1.0542 1.98793 3.31676 0.0962796 -1.90766 0.922218 1.99425 -2.49002 -1.90766 0.922218 -1.85518 2.31453 -1.69716 1.04175 2.12161 -2.01013 -1.69716 1.04175 -2.00799 1.78328 -0.335409 0.219397 0.509125 -0.571115 -1.35616 0.385609 -0.391219 1.43255 -1.0629 -1.9221 -3.31063 0.173505 -1.0629 -1.9221 3.20126 0.00219228 -1.69163 -1.45483 2.93395 1.70952 -1.69163 -1.45483 -2.90461 -1.51099 -1.20174 0.679193 1.24956 -1.34476 -1.20174 0.679193 -0.25767 0.524257 --1.54531 0.0218982 2.10333 -0.0367168 --1.54531 0.0218982 -1.66169 0.0519857 --1.94258 -1.91051 -1.77232 -4.19927 --1.94258 -1.91051 1.77465 4.06451 --1.94258 -1.91051 -0.0023347 0.134764 --1.83767 -1.23679 -2.04475 -2.65247 --1.83767 -1.23679 2.12193 2.4643 --0.248413 1.3717 -1.04658 -1.39226 --0.248413 1.3717 0.604293 1.56857 --1.33798 0.296952 1.73344 -0.445171 --1.33798 0.296952 -1.28641 0.712338 -1.7598 1.8952 3.9214 -1.44996 -1.7598 1.8952 -3.93254 1.30104 -1.70994 -1.72016 -3.49956 -1.34401 --1.92547 1.73953 -1.88197 3.8015 --1.92547 1.73953 1.89718 -3.65369 --1.33769 0.53113 -1.31956 1.12492 --0.215534 0.075354 -0.250884 0.559212 --0.215534 0.075354 -0.360533 -0.48576 --0.903406 -0.217232 -0.516498 0.536768 --1.89081 0.0612931 2.72863 -0.119002 --1.89081 0.0612931 -2.44661 0.138083 --0.383962 1.10828 0.511799 -0.324976 --1.86473 0.867056 2.42336 -1.70629 --1.86473 0.867056 -2.27204 1.88605 --1.30428 -1.32326 -0.949167 -2.48462 --1.30428 -1.32326 0.947636 2.19211 -1.33282 -0.181672 0.531694 1.63052 -1.33282 -0.181672 -0.0290041 -1.5293 --1.92999 1.52344 -2.05857 3.32822 --1.92999 1.52344 2.09727 -3.16742 --1.92999 1.52344 -0.0387046 -0.160801 -1.50033 0.370872 0.840578 -1.8959 -1.50033 0.370872 -0.461158 1.71859 -1.26482 1.06349 1.88358 -1.22243 -1.26482 1.06349 -1.83132 0.862672 --1.68077 -1.24826 -1.71432 -2.58501 --1.68077 -1.24826 1.78136 2.36727 --1.87475 1.35719 -2.0511 2.93068 --1.87475 1.35719 2.10981 -2.75365 --1.7963 1.46105 -1.815 3.09926 --1.7963 1.46105 1.85351 -2.91672 --1.9213 0.122855 2.78426 -0.241199 --1.9213 0.122855 -2.51431 0.277134 --0.657618 -1.20894 -0.0412747 -1.81012 --0.657618 -1.20894 -0.29475 1.39737 -0.216356 -1.70855 -2.01715 1.31217 -1.51201 -0.222089 0.588876 1.92209 -1.51201 -0.222089 -0.186134 -1.81775 -1.25434 1.82512 -3.31291 0.295091 -1.25434 1.82512 3.24042 -0.484939 --1.81921 0.535383 2.49026 -1.02189 --0.701358 1.48253 0.159484 2.22389 --0.701358 1.48253 -0.403069 -1.94494 -1.38092 1.4602 2.67597 -1.10024 -1.38092 1.4602 -2.69069 0.854633 -1.38092 1.4602 0.0147214 0.245603 --1.59345 -0.838979 -1.73193 -1.73759 --1.59345 -0.838979 1.90473 1.48784 --0.930326 -1.2024 0.303775 1.57331 --1.72718 -0.0534107 2.42082 0.0973297 --1.72718 -0.0534107 -2.07912 -0.120277 --0.998222 1.42849 -0.345953 2.42307 --0.998222 1.42849 0.227512 -2.10901 --0.998222 1.42849 0.118442 -0.314057 -0.161342 1.37544 -1.54388 -0.996208 -0.126663 0.368011 0.0975671 0.70484 --0.734304 1.53219 0.162867 2.33117 --0.734304 1.53219 -0.385958 -2.06698 --1.5432 1.4305 -1.32087 2.85687 -1.90978 -0.322931 -0.536763 -2.57451 -1.59833 -1.90955 3.78584 1.08956 -1.59833 -1.90955 -3.81422 -0.931085 --1.68229 0.0315138 2.34049 -0.0563337 --1.68229 0.0315138 -1.97762 0.071367 --1.99926 -1.7249 -2.05911 -3.82898 --1.99926 -1.7249 2.08028 3.68709 -0.681392 1.72231 2.35083 0.436836 -0.681392 1.72231 0.211474 0.203239 --1.33812 1.91934 -0.48614 3.63265 --1.33812 1.91934 0.422619 -3.46092 -1.87225 1.23756 2.62205 -2.23952 -1.87225 1.23756 -2.54462 2.05627 -0.234283 1.53225 1.39115 0.962972 --1.22035 1.8891 -0.290374 3.4504 --1.22035 1.8891 0.208472 -3.26988 -1.76532 -1.87187 3.87627 1.48527 -1.76532 -1.87187 -3.88522 -1.33466 --1.35985 -0.892473 1.43819 1.4191 --1.53811 -1.81889 -0.986274 -3.62956 -1.4372 0.892397 1.70384 -1.61861 -1.4372 0.892397 -1.55204 1.29667 --1.42313 -0.514402 1.78622 0.818899 --1.42313 -0.514402 -1.47171 -1.09664 -0.764855 1.56696 2.19486 0.0909258 --1.6766 1.95839 -1.14212 4.05435 --1.6766 1.95839 1.11895 -3.90549 -1.5772 -1.85803 3.6557 1.09918 -1.5772 -1.85803 -3.68306 -0.933384 -1.58545 0.792554 1.5996 -1.92794 --1.76594 1.82202 -1.46182 3.84496 --1.76594 1.82202 1.45711 -3.68953 -1.66978 -0.841311 -1.55453 -1.82837 -1.66978 -0.841311 -0.172023 -0.233138 --0.0862601 -1.36595 0.757724 -1.34188 --0.980534 -1.43348 0.187058 2.10217 --1.25657 -0.221747 1.63252 0.31467 --1.25657 -0.221747 -1.10873 -0.617108 --0.934853 0.943652 0.676338 -1.04601 -1.58222 1.47144 2.87569 -1.47678 -1.58222 1.47144 -2.86103 1.26358 --0.865355 -1.44182 -0.124717 -2.32439 --0.865355 -1.44182 -0.0513194 2.01149 -0.666523 1.57273 2.07562 0.262119 -0.0354778 -1.31351 -1.34261 1.06151 -0.0354778 -1.31351 0.777998 -1.10925 -1.66121 -1.60207 3.20799 1.52114 -1.66121 -1.60207 -3.20162 -1.33383 -1.66121 -1.60207 -0.00637035 -0.187311 --1.28536 1.48776 0.75227 -2.50844 --1.8558 1.14538 -2.13259 2.46939 --1.8558 1.14538 2.22708 -2.2823 -1.42577 -0.346927 0.793473 1.7747 -1.42577 -0.346927 -0.3695 -1.59041 --1.29121 -0.437086 -1.23606 -0.966868 --0.593664 1.0942 -0.0584441 1.61724 --0.593664 1.0942 -0.378848 -1.16999 -0.775292 -1.72545 -2.66336 0.488247 -0.775292 -1.72545 2.47985 -0.276799 -0.956581 1.25503 -2.02295 0.199661 -0.956581 1.25503 1.92233 -0.573332 -1.16842 1.88099 -3.33911 0.0715834 -1.16842 1.88099 3.24947 -0.25418 -0.733123 1.25772 -1.8845 -0.157112 -0.733123 1.25772 1.68155 -0.247797 --0.735856 -1.68823 -0.534129 2.35906 --0.735856 -1.68823 0.202707 0.212472 --0.449273 1.58931 0.633446 2.0863 --0.449273 1.58931 -0.939364 -1.90217 --0.449273 1.58931 0.305918 -0.184133 --1.49699 0.765912 -1.57042 1.57049 --1.49699 0.765912 1.77343 -1.2914 --0.726172 -0.987705 -0.172217 0.9475 -1.67144 -1.92073 3.88612 1.23322 -1.67144 -1.92073 -3.90747 -1.08067 --0.845504 1.38841 -0.143692 2.22521 --0.309448 0.233653 0.708246 -0.182333 --1.46824 0.846463 -0.17414 -0.293161 -0.841795 1.40746 -2.19669 -0.0953572 -0.841795 1.40746 2.03158 -0.229945 -1.63981 0.00767923 0.194791 -2.12454 -1.63981 0.00767923 0.166394 2.12148 --0.823158 -1.26693 0.0120776 1.61853 --0.823565 0.542388 -0.596501 1.10312 --0.823565 0.542388 0.989994 -0.520522 --0.823565 0.542388 -0.393493 -0.582598 -0.731559 1.95017 -2.99905 -0.805443 -0.731559 1.95017 2.82556 0.652479 -0.0375816 -1.36555 -1.39731 1.11767 -0.0375816 -1.36555 0.867052 -1.14674 -1.92454 0.759041 1.66939 -2.59222 -1.92454 0.759041 -1.49722 2.43239 -1.11425 -0.714863 -1.09613 -0.623882 --1.36526 0.793633 -1.32509 1.58421 --1.36526 0.793633 1.52312 -1.25058 --1.29644 -0.51371 1.58645 0.756711 --1.29644 -0.51371 -1.24947 -1.09507 -1.50678 0.659953 -1.07366 1.56261 -1.50678 0.659953 -0.261255 0.278111 -1.74354 -0.652047 1.39794 2.27263 -1.74354 -0.652047 -1.17632 -2.08305 --1.26063 -1.73076 -0.526848 -3.19282 --1.26063 -1.73076 0.459317 2.98434 -1.37327 1.11843 -1.99529 1.05402 --0.589799 0.714786 -0.44097 -0.730345 -1.73342 -0.53428 1.17257 2.28518 -1.73342 -0.53428 -0.917137 -2.11635 -0.246675 0.949685 -1.18763 -0.53478 -1.99292 -1.20104 2.62197 2.51646 -1.99292 -1.20104 -2.53578 -2.35266 -0.724693 1.9162 2.75432 0.619197 --1.83005 -0.0872029 2.61055 0.165573 --1.67225 -0.309953 2.28542 0.553757 --1.67225 -0.309953 -1.96395 -0.686105 -1.10938 -0.370628 0.791145 1.30508 -1.10938 -0.370628 -0.12004 -1.07218 -1.10938 -0.370628 -0.671106 -0.2329 -1.49555 -0.796611 1.56708 1.76677 -0.706435 -1.70588 2.35555 -0.371408 --0.763873 1.9739 0.629683 3.07361 --0.763873 1.9739 -0.794951 -2.92449 -1.98507 -0.748265 1.66898 2.72007 -1.98507 -0.748265 -1.5009 -2.57328 --1.46759 -0.592167 1.82243 0.970583 --1.46759 -0.592167 -1.54856 -1.24264 -1.38888 0.456096 0.964145 -1.69987 -1.38888 0.456096 -0.555113 1.43961 --0.596851 1.87627 0.780137 2.69854 --0.596851 1.87627 -0.989861 -2.55155 -1.20581 0.140454 0.482493 -1.44178 -1.20581 0.140454 0.0966786 1.36245 -1.30655 -0.167194 0.511725 1.58968 -1.30655 -0.167194 0.00718144 -1.4956 -1.8203 1.02897 2.16569 -2.25943 -1.8203 1.02897 -2.04765 2.06214 --0.887357 -1.25877 -0.316035 -2.06833 --0.887357 -1.25877 0.156784 1.65526 --1.98948 -1.30246 -2.33364 -2.88218 --1.98948 -1.30246 2.40457 2.72045 -1.84995 -0.131288 0.405803 2.54225 -1.84995 -0.131288 -0.121011 -2.50335 -0.594316 -1.31375 -1.86405 0.398123 --1.65467 -1.38242 -1.57646 -2.83919 --1.65467 -1.38242 1.61571 2.62756 --1.42761 0.0934256 1.90822 -0.147183 --1.4425 0.536327 1.80791 -0.864188 --0.770274 1.0606 -0.013296 -1.08239 --0.770274 1.0606 0.313985 -0.624261 --1.8819 0.128589 2.70688 -0.248955 --1.41967 -0.6274 1.72249 1.00428 --1.41967 -0.6274 -1.45673 -1.30126 --1.87769 1.67867 -1.82618 3.6284 --1.87769 1.67867 1.84401 -3.47167 -1.52393 0.872786 1.71456 -1.78033 -1.52393 0.872786 -1.55048 1.49402 --0.530558 0.810261 -0.185076 1.27043 --1.03776 -1.73245 -0.121482 -2.97277 --1.03776 -1.73245 0.0039823 2.75636 -0.0924863 -1.4089 -1.50532 1.10872 -0.0924863 -1.4089 0.993219 -1.08863 --0.1555 -0.778011 0.0945471 -1.01613 --1.76639 -0.000772891 2.49391 0.00143109 --1.76639 -0.000772891 -2.16708 -0.0017377 -0.535624 1.56557 1.88234 0.471272 -0.181246 -1.46993 -1.67419 1.07613 -0.181246 -1.46993 1.20474 -0.985179 --1.94544 1.24312 -2.27175 2.72707 --1.94544 1.24312 2.35079 -2.55731 --0.775021 0.0764521 1.08355 -0.0734908 --0.775021 0.0764521 -0.555486 0.688487 -1.7942 0.929715 1.95503 -2.25901 -1.7942 0.929715 -1.8131 2.05727 --0.49024 -1.20166 0.153628 -1.65043 --0.49024 -1.20166 -0.580889 1.30972 --0.950713 -0.22497 1.24393 0.250927 --0.950713 -0.22497 -0.72397 -0.764802 --0.950713 -0.22497 -0.519964 0.513875 -1.97537 1.4822 3.21547 -2.28446 -1.97537 1.4822 -3.16989 2.1269 -0.673445 -1.82136 2.51473 -0.58371 -1.18185 0.829502 -1.33324 0.770569 -0.0170893 -1.68893 -1.73598 1.54235 -0.0170893 -1.68893 1.38539 -1.5442 -1.57602 -0.977633 -1.80379 -1.55433 -1.91087 1.16192 -2.39759 2.18932 --1.60963 0.36937 -0.324312 -0.169131 --1.08583 -0.651295 -0.911063 -1.29032 --1.08583 -0.651295 1.20116 0.822229 --1.66721 -1.67305 -1.38172 -3.44395 --1.66721 -1.67305 1.3814 3.26439 --0.210693 -1.01162 -0.842916 0.929303 --0.210693 -1.01162 0.23752 -1.21065 -0.322637 -1.43607 1.3294 -0.654321 --0.44872 -1.21695 0.214799 -1.62745 --0.44872 -1.21695 -0.652166 1.31191 --1.23622 0.61426 -1.14539 1.25652 --1.23622 0.61426 1.43898 -0.873929 -1.5784 0.339427 0.793713 -2.03344 -1.5784 0.339427 -0.440928 1.88855 -1.5784 0.339427 -0.352785 0.144886 -1.2037 -1.65555 -2.93497 -0.349948 -1.2037 -1.65555 2.86227 0.575727 --1.64691 -1.16574 -1.6935 -2.40056 --1.64691 -1.16574 1.77645 2.17013 --1.64691 -1.16574 -0.0829456 0.230425 -1.05341 1.74055 -2.96027 -0.0110296 -1.05341 1.74055 2.84984 -0.202673 --1.38572 0.110543 1.84138 -0.170004 --1.38572 0.110543 -1.29278 0.307912 --1.38572 0.110543 -0.548597 -0.137908 -1.96581 -0.4843 1.12208 2.75162 -1.96581 -0.4843 -0.905077 -2.63976 --1.47134 0.391992 1.91469 -0.637096 --1.47134 0.391992 -1.55759 0.864834 -1.42105 1.4715 2.73379 -1.16529 -1.42105 1.4715 -2.74303 0.92775 -0.841927 0.375037 0.746956 -0.984607 -0.841927 0.375037 0.0911379 0.878012 -0.841927 0.375037 -0.838094 0.106596 --0.743212 -1.40831 0.0249401 -2.15882 --0.743212 -1.40831 -0.261378 1.84009 -1.92385 1.33162 2.85423 -2.28394 -1.92385 1.33162 -2.79022 2.11262 --1.02589 -1.28112 0.426629 1.83522 -0.48273 1.32758 -1.79191 -0.560783 -0.48273 1.32758 1.42117 0.189414 -0.286053 1.24774 0.855733 0.178908 --1.45909 -1.32663 -1.23162 -2.59783 --1.45909 -1.32663 1.25813 2.34112 -0.393448 -1.87965 -2.48116 1.27037 -0.393448 -1.87965 2.22998 -1.16081 -0.537034 -0.882517 -1.2867 0.205087 -0.537034 -0.882517 1.07608 0.442904 -1.50626 -1.66768 3.19559 1.14613 -1.50626 -1.66768 -3.2159 -0.949771 -1.12689 -0.873257 1.49575 1.13462 -1.12689 -0.873257 -1.41277 -0.65395 -1.16513 1.89435 0.0904771 0.180252 -1.12541 0.696799 -1.05404 0.641669 --1.15865 0.475027 -1.03013 1.0385 --0.155029 -1.57577 -1.37142 1.58485 --1.09603 0.61888 -0.306971 -0.458449 -1.76248 -0.855336 1.79489 2.23184 -1.76248 -0.855336 -1.63221 -2.02522 -1.84164 0.673357 1.46987 -2.45566 -1.84164 0.673357 -1.26875 2.28792 --0.050857 0.561293 -0.722891 -0.503664 --0.050857 0.561293 0.0454111 0.843004 -1.54456 -1.38808 2.68137 1.47327 -1.54456 -1.38808 -2.658 -1.24313 -0.155876 -1.11374 -1.26905 0.747802 -0.155876 -1.11374 0.505745 -0.852221 -0.155876 -1.11374 0.763308 0.104419 --0.0140884 1.90922 1.70066 1.89752 -0.156557 -1.83698 -2.11481 1.55839 -0.156557 -1.83698 1.82208 -1.5117 -0.463047 0.293786 0.209114 0.742989 -0.280022 -1.30705 -1.58531 0.792992 -0.280022 -1.30705 0.93354 -0.537636 -0.280022 -1.30705 0.651765 -0.255355 --1.74629 0.19352 -2.12337 0.43245 --0.832065 -0.945143 -0.45315 -1.59515 --0.832065 -0.945143 -0.0950905 0.743943 -1.56462 -0.943842 -1.72486 -1.54699 --0.0532345 -1.96938 -1.99761 2.03222 --0.0532345 -1.96938 1.74093 -2.04829 --0.0532345 -1.96938 0.25668 0.0160637 --1.78253 -1.47908 -1.7732 -3.12755 --1.78253 -1.47908 1.8081 2.94439 --1.20418 -1.96461 -0.177835 -3.57679 --1.20418 -1.96461 0.0918325 3.40884 --0.6521 1.54001 0.291928 2.25445 --0.6521 1.54001 -0.544348 -2.00646 -1.74954 0.777326 1.63908 -2.23978 -1.74954 0.777326 -1.45376 2.03557 --0.194825 1.04294 -0.877377 -0.952736 --0.194825 1.04294 0.278203 1.21844 --1.44901 1.48717 0.00513879 -0.232968 -1.46042 -0.531189 -0.764425 -1.53656 -1.84547 0.767759 -1.47925 2.25213 --1.19679 0.21815 1.54992 -0.296827 --1.19679 0.21815 -1.01248 0.647131 --0.859958 1.17822 0.167471 -1.45067 -0.798386 1.14307 -1.75279 0.0106684 -0.798386 1.14307 1.60177 -0.463196 -1.74024 1.45798 2.97982 -1.80609 -1.74024 1.45798 -2.94646 1.61507 -0.580739 1.3512 -1.90564 -0.447128 -0.580739 1.3512 1.60843 0.0876201 -0.580739 1.3512 0.297206 0.359507 -0.0702035 -0.879582 -1.00279 0.630523 -1.46216 -1.58396 2.98793 1.13972 -1.46216 -1.58396 -3.00551 -0.926103 -1.13017 0.219236 0.592928 -1.34394 -1.13017 0.219236 0.0369589 1.22043 -0.368295 -1.91803 -2.50789 1.35687 -0.368295 -1.91803 2.26191 -1.25945 --0.823237 1.6173 0.115823 2.55585 -0.623898 -1.31832 -1.89351 0.359969 -0.623898 -1.31832 1.62365 0.0199621 --1.54902 0.208746 2.09149 -0.351329 --1.54902 0.208746 -1.69209 0.478391 -0.271688 1.72185 1.78285 1.15326 -1.37468 1.43521 2.62383 -1.11139 -1.37468 1.43521 -2.63584 0.860133 --0.280789 -0.943131 0.126528 -1.21866 --0.280789 -0.943131 -0.7384 0.894121 --0.280789 -0.943131 0.611871 0.324543 -1.39679 1.33754 2.46332 -1.23752 -1.39679 1.33754 -2.45386 0.971886 -0.787216 -1.94272 2.88654 -0.540339 -0.787216 -1.94272 0.162964 -0.159648 -1.43311 0.0804287 0.093712 1.73635 -0.71134 -1.57982 -2.36301 0.451597 -0.71134 -1.57982 2.14697 -0.19683 --1.53593 -0.22641 -1.66651 -0.518555 -1.98758 -0.368605 -0.228547 -0.0859895 --1.83235 0.485951 -2.29414 1.07058 -1.38631 -1.55693 2.8633 1.01948 -1.38631 -1.55693 -2.89023 -0.792194 -1.84314 -0.907185 -1.78834 -2.17778 -0.658824 1.39964 -2.03963 -0.374067 -0.396736 1.68428 -2.19669 -1.03357 -0.396736 1.68428 1.89113 0.880713 -0.77567 -1.97297 -3.08954 0.754738 -0.77567 -1.97297 2.92689 -0.602075 -1.95261 0.467636 -0.863692 2.61701 -0.580134 0.721589 0.157137 0.694373 --0.915242 1.73321 0.0897222 2.84399 --0.915242 1.73321 -0.238709 -2.62987 --1.31029 0.858685 -1.20943 1.67881 --1.31029 0.858685 1.37865 -1.32004 --1.90453 0.0315329 2.75629 -0.0615174 --1.90453 0.0315329 -2.47773 0.0711192 --1.59345 1.20187 -1.56788 2.44187 --1.59345 1.20187 1.6386 -2.20144 -1.32322 -0.24031 0.62138 1.61801 -1.32322 -0.24031 -0.117352 -1.48063 -1.32322 -0.24031 -0.504028 -0.137386 -1.334 -0.149307 0.482143 1.6296 -1.334 -0.149307 0.0216334 -1.54716 -0.0833935 -0.222489 -0.576684 0.244165 -0.0833935 -0.222489 0.49866 0.364888 -0.0833935 -0.222489 0.0780242 -0.609053 --1.15349 1.0408 -0.869482 1.9102 --1.15349 1.0408 0.931384 -1.49439 --1.15349 1.0408 -0.0619021 -0.415811 --0.573945 0.118539 -0.438719 0.712602 --0.146845 -0.567636 -0.00795844 -0.884381 --0.146845 -0.567636 -0.675057 0.5576 --0.114591 1.40734 -1.25532 -1.3186 --0.114591 1.40734 0.790634 1.42334 --1.61983 1.68842 -1.2708 3.43564 --1.61983 1.68842 1.2635 -3.25274 -0.885342 1.95579 -3.1825 -0.539452 -0.885342 1.95579 3.03999 0.375631 --1.79618 0.872324 -2.12686 1.87298 --1.79618 0.872324 2.28077 -1.67741 --1.58914 1.83557 0.0242399 -0.168237 -1.49052 -0.622615 1.26548 1.82522 -1.49052 -0.622615 -0.982304 -1.54719 -0.414538 -1.88758 2.27373 -1.13481 -1.75252 0.660055 1.41598 -2.2872 -1.75252 0.660055 -1.19805 2.09881 --0.298332 -0.767149 -0.00898402 -1.09641 --0.613479 1.17171 -0.0181254 1.72591 --0.613479 1.17171 -0.362642 -1.31041 --0.286154 1.54737 -1.15345 -1.67805 --0.286154 1.54737 0.791375 1.82089 --1.78035 0.54699 2.41064 -1.02935 --1.78035 0.54699 -2.1754 1.19272 -1.34867 0.944921 -1.62548 1.08497 --1.01723 -1.77743 0.122371 0.205497 --1.56586 0.12684 -0.413139 -0.0791219 --0.00335247 0.78266 -0.883176 -0.611528 --0.00335247 0.78266 0.174111 0.924011 --1.71565 -1.99793 -1.18735 -4.17798 --1.71565 -1.99793 1.16557 4.03528 -0.0315969 -1.88534 -2.00843 1.79492 -0.0315969 -1.88534 1.72695 -1.7888 -0.0314069 -1.79911 -1.89434 1.67421 -0.0314069 -1.79911 1.58513 -1.66848 -0.566323 -0.852799 0.190472 -0.6509 -0.792167 1.87517 -2.93699 -0.616399 -0.792167 1.87517 2.76952 0.441889 --1.84289 0.512019 2.54503 -0.985016 --1.84289 0.512019 -2.31312 1.12782 --0.958585 1.83768 -0.265256 -2.88079 -1.60366 0.403036 0.908812 -2.07132 -1.60366 0.403036 -0.580776 1.90765 -1.35443 -0.933244 -1.60331 -1.10196 --0.964057 -0.680728 -0.291488 0.543447 --1.35813 -0.936669 -1.26234 -1.83197 --1.35813 -0.936669 1.39925 1.49697 --1.35813 -0.936669 -0.136913 0.334997 -1.96706 -1.77573 -3.84167 -1.87916 -1.94771 -0.681026 1.51857 2.66575 -1.94771 -0.681026 -1.33338 -2.51958 -1.05382 -0.297307 0.689802 1.24247 -1.05382 -0.297307 0.00421359 -1.08147 -1.81217 0.888138 1.88157 -2.31418 -1.81217 0.888138 -1.73009 2.11861 -1.34334 0.582191 -0.797101 1.23773 -1.10381 -1.42819 -2.42729 -0.34344 -1.10381 -1.42819 2.35155 0.636052 --1.87127 0.252795 2.66968 -0.488265 --1.87127 0.252795 -2.39818 0.565844 -1.25495 0.159483 0.504729 -1.51312 -1.25495 0.159483 0.0451703 1.42223 -1.25495 0.159483 -0.549899 0.0908919 --1.69925 -0.443378 2.2959 0.804592 --1.69925 -0.443378 -2.01736 -0.967417 --1.69925 -0.443378 -0.278544 0.162825 -1.61889 1.49499 2.95391 -1.52947 -1.61889 1.49499 -2.93828 1.32453 -0.393352 -1.70816 -2.22715 1.06561 -0.393352 -1.70816 1.92838 -0.920201 --1.93976 1.17211 -2.29813 2.5702 --1.93976 1.17211 2.38878 -2.39847 -0.196626 -0.796401 0.7922 0.334224 -0.196626 -0.796401 0.232306 -0.811527 --1.16532 1.35071 -0.686513 2.43043 --1.16532 1.35071 0.641252 -2.11389 -1.50213 1.3324 2.54055 -1.43759 -1.50213 1.3324 -2.51276 1.19183 --1.85239 0.278032 2.62846 -0.533542 --1.85239 0.278032 -2.3553 0.62073 -0.416626 -0.599291 -0.975996 0.207025 -0.416626 -0.599291 0.802381 0.532523 -0.0528694 -0.103924 0.380453 0.306562 -0.0528694 -0.103924 -0.457111 0.174949 -0.0528694 -0.103924 0.0766587 -0.481512 --1.78484 1.9915 -1.34476 4.2318 --1.78484 1.9915 1.32954 -4.09268 -0.681292 -1.81334 -2.71127 0.737066 --1.49195 0.572032 1.87419 -0.948409 --1.49195 0.572032 -1.59608 1.2075 -0.40152 -1.02214 -1.36399 0.429282 -0.40152 -1.02214 1.03407 0.218187 -1.91455 -1.99181 4.29153 1.69575 -1.91455 -1.99181 -4.29677 -1.56492 --1.81059 -0.619464 2.43928 1.18248 -1.72693 1.12585 -2.20906 1.80092 --1.3551 1.51919 0.865352 -2.64036 -0.815483 1.67744 -2.622 -0.373202 -0.815483 1.67744 2.44745 0.145071 -1.79211 -0.430559 0.986352 2.41634 -1.79211 -0.430559 -0.722116 -2.28617 -1.70029 -0.794543 -0.184669 -0.220334 --1.12704 0.0396856 1.48 -0.0512238 --1.12704 0.0396856 -0.699732 -0.439366 --0.0652371 1.66975 -1.60116 -1.61489 -0.950511 -1.23098 -1.97881 -0.203817 -0.950511 -1.23098 1.87998 0.588207 -1.7671 1.52809 3.14685 -1.80413 -1.7671 1.52809 -3.12088 1.62289 -0.889522 1.51992 -2.42202 -0.106034 -0.889522 1.51992 2.27003 -0.174497 -1.98489 -1.17134 2.55391 2.51741 -1.98489 -1.17134 -2.46295 -2.35206 --0.0283335 0.65693 0.694132 -0.337034 -1.44955 1.1388 2.14415 -1.48704 --1.92401 -1.9505 -1.69377 -4.27255 --1.92401 -1.9505 1.69203 4.13926 -0.888216 -1.67177 -2.68146 0.243181 -0.888216 -1.67177 2.52832 -0.0110581 -1.74956 1.91131 -3.95925 1.26325 --1.70105 -0.676963 2.20103 1.24231 --1.70105 -0.676963 -1.98827 -1.44612 --1.10361 -1.46877 0.0845231 0.288429 --0.453455 1.71423 0.786945 2.26641 --0.453455 1.71423 -1.05936 -2.11287 --0.502736 1.95625 1.03681 2.69979 --0.502736 1.95625 -1.25021 -2.58272 -1.66158 -0.919252 1.86892 2.00879 -1.66158 -0.919252 -1.7211 -1.77067 -1.72871 -0.743036 1.56561 2.21326 -1.72871 -0.743036 -1.36818 -2.00664 --1.85669 1.98637 -1.50892 4.28968 --1.85669 1.98637 1.49986 -4.15462 -0.762925 -1.56155 2.18339 -0.0872237 -0.52808 -0.520774 0.788569 0.645538 -0.52808 -0.520774 -0.9488 0.100241 --1.33738 -1.71404 0.636091 3.02805 -1.60707 -1.19021 -2.27803 -1.50294 -1.60707 -1.19021 -0.0712027 -0.240161 -0.442638 1.75352 -2.35024 -1.04543 -0.442638 1.75352 2.07713 0.897203 --1.87575 0.629973 -2.36222 1.38592 -1.28467 0.74636 -1.16893 1.0143 -1.04779 -1.75864 -2.98849 0.038608 -1.04779 -1.75864 2.87645 0.171027 -1.4156 -0.527153 -0.72539 -1.44241 -1.4156 -0.527153 -0.359449 -0.284931 --0.0234325 -1.34047 -1.30221 1.14955 --0.0234325 -1.34047 0.774982 -1.22468 -1.26226 -1.92988 -3.52988 -0.208362 -1.26226 -1.92988 3.45499 0.380389 --1.39508 -0.231232 1.83711 0.358263 --1.39508 -0.231232 -1.37213 -0.565504 -0.933952 0.827799 1.31264 -0.898925 -0.933952 0.827799 -1.31653 0.319947 -1.89483 -0.118973 0.378482 2.63118 -1.89483 -0.118973 -0.105811 -2.59806 --1.6881 0.0189971 -0.360468 -0.00894842 --1.27466 1.07531 -1.05209 2.03245 --1.27466 1.07531 1.12277 -1.67862 --0.758234 1.30902 0.242933 -0.37523 --0.0803373 -1.34783 -1.24168 1.21228 -1.09551 -0.786254 1.35256 1.13998 -1.09551 -0.786254 -1.24228 -0.598206 -0.573675 1.61982 -2.29125 -0.704086 -0.573675 1.61982 2.02789 0.482934 -0.447797 -1.66389 -2.22408 0.937217 -0.447797 -1.66389 1.92729 -0.76236 -0.873128 -1.68737 2.53707 -0.0567892 -1.40873 -1.20476 2.23256 1.36559 -1.40873 -1.20476 -2.1912 -1.07855 -1.56737 1.06688 2.09117 -1.74961 -1.56737 1.06688 -1.99121 1.48836 --1.60315 -1.28711 1.58836 2.38456 --1.62934 1.10618 -1.69013 2.27348 --1.62934 1.10618 1.78658 -2.03562 --1.09562 -1.93552 -0.0988798 3.2279 -0.324637 0.123939 0.431395 -0.579649 -0.324637 0.123939 -0.686644 -0.0688193 --0.132637 1.62062 -1.45144 -1.62334 -1.33159 1.27283 2.29239 -1.17435 -1.33159 1.27283 -2.28236 0.882248 --1.14706 0.446512 -0.394802 -0.409389 --1.66301 0.615297 2.15944 -1.10789 --1.66301 0.615297 -1.9235 1.31446 -1.94037 -1.3658 -2.87899 -2.12749 -1.83177 1.32424 2.77381 -2.09627 -1.83177 1.32424 -2.71297 1.91002 --1.65114 -1.20648 1.75315 2.25711 -1.93729 1.05618 2.28488 -2.48329 -1.93729 1.05618 -2.17343 2.30985 --0.755714 0.714051 -0.342614 -0.673109 -1.80164 0.461535 -0.791751 2.29368 --1.57499 0.0976294 -1.73608 0.226583 --1.37983 1.73279 -0.751961 3.30988 --1.37983 1.73279 0.706144 -3.11048 -1.15776 0.260087 0.647817 -1.38015 -1.15776 0.260087 -0.0324288 1.22674 -1.99336 -0.610708 1.3876 2.77963 -1.99336 -0.610708 -1.19581 -2.65137 -1.99336 -0.610708 -0.19179 -0.128251 -1.40126 1.22282 2.25919 -1.33838 -1.40126 1.22282 -2.22368 1.0527 -0.089815 1.014 -1.12385 -0.721119 -0.089815 1.014 0.385118 0.919316 --1.86133 -0.280761 2.64518 0.540575 --1.86133 -0.280761 -2.37487 -0.627186 -0.175461 0.325938 0.571369 -0.439528 -0.729284 1.16197 -1.74149 -0.102025 -0.729284 1.16197 1.55153 -0.354151 -0.0792478 1.50756 -1.60012 -1.23838 -0.0792478 1.50756 1.15612 1.21674 --1.67619 0.854613 -1.8892 1.79564 --1.67619 0.854613 2.05362 -1.56992 -1.77615 -1.42572 -2.90081 -1.71725 --1.31281 -1.52294 0.774523 2.60724 --0.697119 -1.09591 -0.182089 -1.69919 --0.697119 -1.09591 -0.185549 1.17964 --0.697119 -1.09591 0.367639 0.519559 -1.96475 -1.42223 3.07746 2.30645 -1.96475 -1.42223 -3.02464 -2.14477 --1.58363 1.83308 -1.06651 3.70147 --1.58363 1.83308 1.0418 -3.53252 --1.4357 0.684544 1.71631 -1.11048 --1.4357 0.684544 -1.47641 1.4071 -0.63413 -1.95183 -2.88813 0.973229 -0.63413 -1.95183 2.69557 -0.83218 --1.07251 -1.06811 0.749936 1.45596 --0.283394 -0.354855 -0.180318 -0.788881 --0.905265 -0.797272 -0.62012 -1.43726 --0.905265 -0.797272 0.846927 0.827047 -0.787398 -0.633362 1.00415 0.837371 -0.787398 -0.633362 -1.06633 -0.119799 -0.646761 0.264241 0.212018 0.820343 -0.646761 0.264241 -0.81349 -0.00448031 -1.39033 -0.843062 1.59571 1.56501 -1.39033 -0.843062 -1.42441 -1.21646 -1.17302 -0.83499 1.46633 1.22536 -1.17302 -0.83499 -1.34331 -0.751556 -1.85308 -1.83242 3.87569 1.71537 -1.85308 -1.83242 -3.87417 -1.56826 --1.88277 0.33754 2.67463 -0.65567 -1.50745 -1.32933 2.53902 1.45011 -1.50745 -1.32933 -2.50986 -1.20494 --0.39976 1.90731 -1.36802 -2.3749 --0.39976 1.90731 1.12916 2.47994 -1.10767 -1.64445 -2.83056 -0.177155 -1.10767 -1.64445 2.73664 0.411661 --1.64513 -1.68923 -1.3223 -3.45887 --1.64513 -1.68923 1.31782 3.27873 --1.088 1.91917 -0.0961422 -3.1862 --1.53522 -1.66005 -1.12328 -3.30564 --1.53522 -1.66005 1.1083 3.11006 --1.69625 1.48899 -1.58624 3.08592 --1.69625 1.48899 1.61233 -2.89116 --0.927807 1.05566 -0.518541 1.80269 --0.927807 1.05566 0.476922 -1.24045 --0.927807 1.05566 0.0416188 -0.562243 --1.45762 -1.18059 -1.32065 -2.32288 --1.45762 -1.18059 1.38311 2.04553 -0.417006 1.49933 1.59393 0.57735 -0.692829 -1.29001 -1.90409 0.239234 -0.692829 -1.29001 1.67605 0.152619 -1.0898 -0.50793 -0.209587 -0.872635 --1.51394 -1.8875 0.0371401 0.167079 --1.6203 -1.14258 1.74029 2.10225 --1.28276 0.863985 -1.16097 1.67798 --1.28276 0.863985 1.3271 -1.30641 --1.28276 0.863985 -0.166137 -0.371569 -1.09469 0.561048 1.04199 -1.23853 -1.09469 0.561048 -0.8124 0.455522 -1.09469 0.561048 -0.229587 0.78301 --1.66084 0.491959 2.208 -0.879886 --1.66084 0.491959 -1.93457 1.06469 --1.00462 -0.971273 -0.677646 -1.7247 --1.00462 -0.971273 0.747898 1.19413 -0.77455 -1.31729 -2.00373 0.135595 -0.77455 -1.31729 1.81532 0.234945 --1.22379 0.158634 -1.01104 0.538399 -0.676229 -1.50639 0.23623 -0.282196 --0.639755 1.12003 -0.0926959 1.68466 --0.639755 1.12003 -0.301078 -1.22235 -0.266641 -1.72423 1.78006 -1.1654 --1.76508 -1.69165 -1.57232 -3.56461 --1.76508 -1.69165 1.57969 3.39728 -0.995296 1.6326 -2.71002 -0.0183711 -0.995296 1.6326 2.58751 -0.224088 --1.41131 1.02594 1.42382 -1.70624 --0.852442 -1.07453 0.255277 1.17081 --1.39025 1.57691 -0.91065 3.01983 --1.39025 1.57691 0.882576 -2.7941 -1.11707 0.838648 1.43951 -1.14109 -1.49925 0.509295 -0.742124 1.63302 -0.382548 -1.89791 2.24671 -1.20581 --0.471799 -1.52619 0.526137 -2.02902 --0.471799 -1.52619 -0.843285 1.81973 -1.41578 -0.325175 -0.322748 -1.58598 -1.1204 -1.62548 -2.80607 -0.217393 -1.1204 -1.62548 2.71637 0.455742 --1.36613 1.90314 -0.558086 3.62971 --1.36613 1.90314 0.499501 -3.45671 --0.910793 1.24055 0.224097 -1.63746 -1.11582 1.30705 -2.21353 0.448119 -0.889549 -1.48257 -2.35887 0.0752692 -0.889549 -1.48257 2.20827 0.218516 --0.380094 -1.48638 0.595851 -1.86631 --0.380094 -1.48638 -0.953858 1.67377 -1.91846 -1.38211 2.95762 2.23655 -1.91846 -1.38211 -2.90132 -2.06662 --1.43153 0.499537 1.80676 -0.79834 --0.342349 1.48643 0.642519 1.81915 --0.342349 1.48643 -1.01161 -1.63987 --1.70723 -0.223451 2.36652 0.404516 --1.70723 -0.223451 -2.03794 -0.498698 --0.0186053 1.80553 -1.83264 -1.74751 --0.0186053 1.80553 1.52666 1.75866 -0.0930607 1.6978 1.49977 1.42942 -1.82149 1.39711 -2.86877 1.83796 --0.792024 1.98236 0.59205 3.12367 --0.792024 1.98236 -0.751359 -2.9735 --1.85668 -1.10278 -2.15587 -2.37989 --1.85668 -1.10278 2.25857 2.19255 --1.83527 0.566834 2.5095 -1.08955 --1.83527 0.566834 -2.28819 1.24352 -1.61055 1.5792 3.11584 -1.43861 -1.61055 1.5792 -3.11247 1.24253 --1.32821 -0.0172936 -1.03841 -0.0878256 --1.32821 -0.0172936 -0.721512 0.0621595 --1.95079 -1.53225 -2.09799 -3.3625 --1.95079 -1.53225 2.13676 3.20469 --1.47035 -1.41944 -1.18769 -2.78236 --1.47035 -1.41944 1.19745 2.54215 -0.480886 -0.997428 -1.38568 0.32649 -0.480886 -0.997428 1.10751 0.292873 --0.275901 -0.854696 0.0644114 -1.14752 --0.275901 -0.854696 -0.707752 0.809356 --0.25503 1.47053 -1.12523 -1.53628 --0.25503 1.47053 0.725885 1.68685 --1.94728 -1.28367 -2.25245 -2.81622 --1.94728 -1.28367 2.32516 2.64769 -0.218018 -1.00141 -1.21452 0.598468 --1.31956 1.93893 -0.429124 3.65166 --1.31956 1.93893 0.362053 -3.48226 --1.31956 1.93893 0.0670705 -0.169404 -1.73086 -1.11596 2.2863 2.03141 -1.73086 -1.11596 -2.18965 -1.81528 --1.13142 1.0303 0.902116 -1.45156 -0.643265 1.80932 -2.66299 -0.795092 --0.334505 -1.63054 -1.16366 1.85335 --0.334505 -1.63054 0.840976 -1.99303 --1.56607 -0.94742 -0.139206 0.260253 --1.56639 0.0811882 2.13631 -0.137594 --0.343292 -1.26131 0.374057 -1.56542 --0.343292 -1.26131 -0.831456 1.31214 -1.76953 1.65099 3.407 -1.70299 -1.76953 1.65099 -3.39549 1.53282 -1.85525 0.240958 0.622547 -2.55502 -1.85525 0.240958 -0.347785 2.48518 -0.358829 1.6253 -2.0712 -1.02072 -0.358829 1.6253 1.73341 0.8646 --0.67764 -1.57251 -0.527978 2.08904 --0.072413 -1.57451 1.09011 -1.54432 --1.95315 1.3875 -2.20152 3.04627 --1.95315 1.3875 2.25916 -2.88202 --1.62681 -1.33946 -1.54912 -2.73436 --1.62681 -1.33946 1.59356 2.51348 --0.120007 -1.65878 -1.51205 1.66284 --0.120007 -1.65878 1.16075 -1.72228 -1.60024 -0.464932 1.01831 2.05551 -1.60024 -0.464932 -0.706176 -1.86906 --1.18465 -0.473327 1.44416 0.642487 --1.18465 -0.473327 -1.06907 -1.03447 --0.640445 -1.32758 0.0890784 -1.94846 --0.640445 -1.32758 -0.394878 1.61058 -0.919199 -1.6432 -2.66036 0.162753 -0.919199 -1.6432 2.51604 0.0779211 -1.59518 1.35773 2.66339 -1.5959 -1.59518 1.35773 -2.62825 1.37103 -1.59518 1.35773 -0.0351373 0.224862 --1.47522 1.79357 -0.882917 3.51913 --1.47522 1.79357 0.847095 -3.33668 -1.53204 -1.9852 0.0402182 -0.153598 --1.38907 1.66559 0.793072 -2.97847 --0.847999 1.44406 -0.096095 2.31156 --0.847999 1.44406 -0.0876795 -2.00023 -1.17448 -0.585982 -0.708602 -0.681721 -1.17448 -0.585982 -0.395232 -0.659166 --1.72361 -0.773907 2.19323 1.44075 --1.72361 -0.773907 -2.00958 -1.64817 -1.98452 -0.345595 0.84076 2.80939 -1.98452 -0.345595 -0.608899 -2.72789 -1.56736 -0.140112 0.443847 2.01307 -1.56736 -0.140112 -0.0577415 -1.95178 --0.977392 0.933349 -0.657672 1.65604 --0.977392 0.933349 0.756522 -1.09469 --1.23923 0.981407 -1.03951 1.85617 --1.23923 0.981407 1.14608 -1.47247 -1.55625 0.331721 -0.414838 1.8489 --1.26614 -0.383634 1.5986 0.550282 --1.26614 -0.383634 -1.18579 -0.881923 --1.55608 -1.96466 -0.881235 -3.94784 --1.55608 -1.96466 0.844711 3.79262 -1.96917 1.71428 3.72092 -2.08021 -1.96917 1.71428 -3.70089 1.93493 --1.53467 -1.48974 -1.26011 -2.96693 --1.53467 -1.48974 1.26747 2.74778 --1.82792 -0.355351 -2.29731 -0.788545 --1.19223 -1.30132 -0.769031 -2.36626 --1.19223 -1.30132 0.743577 2.04066 --0.064462 -1.7408 -1.68711 1.7132 --0.064462 -1.7408 1.36101 -1.74372 --1.10145 0.23692 1.42019 -0.299925 --1.10145 0.23692 -0.893477 0.722731 --0.819674 -1.00477 0.371296 0.853629 --0.819674 -1.00477 0.0303984 0.812295 -0.326381 0.809884 0.873118 -0.371005 -0.218301 -1.6059 -1.88467 1.18591 -0.218301 -1.6059 1.50489 -1.09008 --0.531214 -0.471627 -0.331478 -0.960966 --0.531214 -0.471627 0.817956 0.339847 --1.35769 -1.09084 1.2662 1.78363 --1.8041 0.150744 2.55598 -0.283531 --1.8041 0.150744 -2.25155 0.337663 -0.211399 1.37901 1.0504 0.817567 -0.483978 -1.51179 1.71631 -0.480456 -1.98419 -1.30929 2.84798 2.42799 -1.98419 -1.30929 -2.7786 -2.26494 -1.2924 -0.720673 -1.11055 -1.04031 -1.79748 1.24549 2.58844 -2.08071 -1.79748 1.24549 -2.51559 1.88429 -1.02787 0.579988 -0.910643 0.38352 -1.19716 -0.404792 -0.263139 -1.14179 --1.27396 -0.341865 1.62476 0.492284 --1.27396 -0.341865 -1.18861 -0.810698 --1.27396 -0.341865 -0.436156 0.318414 --0.394748 -0.920734 0.0138423 -1.28645 --0.394748 -0.920734 -0.614726 0.90928 -1.25585 1.3193 2.30891 -1.00165 -1.25585 1.3193 -2.326 0.704355 -0.281955 -1.01041 -1.27002 0.544232 -0.281955 -1.01041 0.899609 0.193099 -0.281955 -1.01041 0.37041 -0.73733 --1.11862 -1.07431 0.830443 1.51947 -0.206805 -0.548542 -0.849496 0.335538 --0.022523 -1.4532 -1.41676 1.28384 --0.022523 -1.4532 0.954477 -1.32929 --1.96719 1.89183 -1.84476 4.17913 --1.96719 1.89183 1.8501 -4.04491 -1.07004 1.05434 1.7231 -0.92376 -1.07004 1.05434 -1.73204 0.497481 --0.703094 -1.45061 0.124295 -2.17977 --0.703094 -1.45061 -0.372533 1.88696 --0.0351552 -1.85032 -1.86659 1.83281 --0.0351552 -1.85032 1.57563 -1.84772 -1.75616 -0.61658 1.33423 2.30717 -1.75616 -0.61658 -1.10513 -2.12723 -0.354578 -0.174445 0.477095 0.593951 -0.354578 -0.174445 -0.715654 0.0850862 -0.354578 -0.174445 0.238559 -0.679037 --1.00065 -0.0322127 1.32497 0.0375908 --0.813175 -1.08848 0.117535 1.17505 --0.813175 -1.08848 0.22064 0.598007 -1.45399 1.33407 2.50453 -1.34598 -1.45399 1.33407 -2.48447 1.09101 --1.65272 1.70813 -1.32189 3.50456 --1.65272 1.70813 1.3163 -3.3273 --1.00604 0.371829 1.26208 -0.434143 --1.00604 0.371829 -0.814446 0.914177 -1.24518 1.7102 -3.07765 0.382784 -1.24518 1.7102 3.0097 -0.594489 -1.21447 1.89143 -3.40547 0.151595 -1.21447 1.89143 3.32372 -0.331284 -0.371706 0.0863323 0.41153 -0.624215 -0.371706 0.0863323 0.290749 0.66475 -0.371706 0.0863323 -0.70228 -0.0405351 -1.48407 -1.99484 -3.88672 -0.602488 -1.48407 -1.99484 3.84036 0.757188 -1.31133 0.533047 -0.652541 1.20364 --1.29852 -0.130688 1.70834 0.19045 --1.29852 -0.130688 -1.11539 -0.422176 --1.29852 -0.130688 -0.592947 0.231726 --0.640897 1.07509 -0.128975 1.63139 --0.640897 1.07509 -0.295582 -1.13984 -0.921547 -0.864998 1.35167 0.85861 -0.921547 -0.864998 -1.37301 -0.29716 -0.505333 -1.2522 -1.71179 0.469988 --0.475889 -1.50684 0.32148 0.216682 -1.32054 1.97661 -3.68364 0.279267 -1.32054 1.97661 3.61624 -0.442523 -0.571898 1.51406 1.84814 0.337385 --1.66983 0.925618 -1.85089 1.93459 --1.66983 0.925618 1.99578 -1.70478 --1.66983 0.925618 -0.14489 -0.229815 -1.48271 0.56123 1.1589 -1.83001 -1.48271 0.56123 -0.84328 1.56597 --0.260587 -1.33552 -1.00012 1.35302 --0.260587 -1.33552 0.546193 -1.54598 --1.54625 -0.782208 -1.65861 -1.61452 --1.54625 -0.782208 1.85268 1.35209 -1.35152 0.925564 1.71196 -1.4552 -0.706913 1.37925 -2.04778 -0.285558 -0.706913 1.37925 1.8224 -0.0582737 --1.83224 -1.55287 -1.82512 -3.32069 --1.83224 -1.55287 1.85391 3.14966 --1.83224 -1.55287 -0.0287962 0.171023 --1.8632 -0.192542 2.66351 0.370482 --1.8632 -0.192542 -2.38241 -0.431718 --0.751663 -1.57101 0.177778 -2.40798 -1.94407 1.55094 3.34051 -2.16238 -1.94407 1.55094 -3.30486 2.00467 --0.00568317 -0.124036 -0.42869 0.257185 --0.00568317 -0.124036 -0.00634428 -0.498983 --0.00568317 -0.124036 0.435035 0.241798 --0.528552 -1.70223 0.662484 -2.34501 --0.528552 -1.70223 -0.919567 2.17145 -1.66016 1.1866 2.37855 -1.84772 -1.66016 1.1866 -2.30208 1.61948 -0.041106 0.86173 0.242535 0.922872 --0.391109 -1.52034 0.624142 -1.92285 --0.391109 -1.52034 -0.967522 1.73666 --1.05738 -1.98127 0.117001 -3.4421 --1.05738 -1.98127 -0.228025 3.27759 --1.29027 -1.94542 -0.364933 -3.63321 --1.29027 -1.94542 0.293132 3.4639 -1.42041 0.666733 1.31573 -1.69228 -1.42041 0.666733 -1.04224 1.36551 -0.676192 0.426439 0.142019 0.793238 -1.58544 0.363349 0.836437 -2.04366 -1.58544 0.363349 -0.491814 1.89071 -1.28032 1.39992 2.47333 -0.971822 --1.49638 0.245821 1.99646 -0.403052 --1.49638 0.245821 -0.410602 -0.16386 --1.83312 -1.47329 -1.88456 -3.15107 --1.83312 -1.47329 1.9239 2.97459 -1.7673 -0.51652 1.14637 2.35325 -0.575478 -1.92438 -2.773 1.03771 -0.575478 -1.92438 2.56488 -0.899967 -1.99226 -0.873808 1.93228 2.68606 -1.99226 -0.873808 -1.78839 -2.5301 --1.86852 -0.326979 2.64928 0.631774 --1.86852 -0.326979 -2.38795 -0.729328 -0.518676 0.396914 0.685913 -0.677144 --0.603329 -1.15401 -0.0208448 -1.69588 --0.603329 -1.15401 -0.375123 1.27548 -1.65587 0.0838269 0.332711 -2.16631 -1.65587 0.0838269 0.0203145 2.13364 --1.99833 -1.543 -2.19567 -3.42041 --1.99833 -1.543 2.23558 3.26872 --0.826339 -1.16119 -0.30392 -1.88181 --0.826339 -1.16119 0.101061 1.38171 -1.71171 1.55395 3.15347 -1.66738 -1.71171 1.55395 -3.13593 1.48133 -1.16407 0.777835 1.37691 -1.24306 -1.16407 0.777835 -1.22318 0.737516 -1.82051 1.08673 2.2818 -2.22727 -1.82051 1.08673 -2.17639 2.0303 -1.82051 1.08673 -0.105406 0.196971 --0.824243 -1.55237 0.0467207 -2.45496 -1.99939 1.78184 3.89894 -2.08778 -1.99939 1.78184 -3.88308 1.94932 -1.99939 1.78184 -0.0158541 0.138464 --1.00442 -1.80488 0.0140982 -3.06436 --1.00442 -1.80488 -0.139089 2.86541 -0.860865 -0.391511 0.768972 1.00138 -0.860865 -0.391511 0.0723787 -0.877858 -0.860865 -0.391511 -0.841351 -0.123524 -0.509454 0.861734 -1.25208 -0.225465 -0.509454 0.861734 1.03785 -0.439105 -0.0626951 -1.93411 -2.11923 1.82198 -0.0626951 -1.93411 1.85206 -1.80724 -0.0626951 -1.93411 0.267169 -0.0147414 --1.31661 -0.557418 1.59465 0.834317 --1.31661 -0.557418 -1.28261 -1.16922 --0.472181 -1.68751 0.725533 -2.25224 --0.472181 -1.68751 -0.999968 2.08787 -1.47476 0.218252 -0.161985 1.75195 --1.64544 1.59132 -1.40357 3.25744 --1.64544 1.59132 1.41042 -3.06636 -1.76501 -0.653384 -1.1894 -2.12922 --0.802768 1.24846 -0.0174693 -1.5633 --1.50277 -1.4587 1.22897 2.65346 --1.70628 -1.35319 -1.70081 -2.81407 --1.70628 -1.35319 1.74971 2.60899 --0.504549 1.87364 0.921563 2.5725 --0.504549 1.87364 -1.14949 -2.44089 -1.55359 1.00525 1.96943 -1.76159 -1.55359 1.00525 -1.85165 1.49163 -0.401519 1.17529 0.423392 0.538976 -1.88755 1.89546 -4.04916 1.59114 -1.67987 -0.407297 0.926649 2.20856 -1.67987 -0.407297 -0.625606 -2.06165 --1.44511 -0.346283 1.88669 0.55386 --1.44511 -0.346283 -1.50101 -0.779489 --1.77787 1.32439 -1.86703 2.80035 --1.77787 1.32439 1.92594 -2.60579 -1.32452 -1.75075 -3.22921 -0.504179 -1.32452 -1.75075 3.17314 0.703098 -0.480827 -1.68574 2.01191 -0.735402 -0.724252 1.52685 2.07635 0.106236 -0.536008 -1.99178 -2.83527 1.18434 --1.87649 -0.533792 2.60335 1.04004 --1.87649 -0.533792 -2.38192 -1.17974 -0.986375 -1.88327 -3.15812 0.276608 -0.986375 -1.88327 3.03318 -0.0943406 --1.63878 0.962391 1.90988 -1.75613 -1.85737 -0.607331 1.34436 2.50603 -1.85737 -0.607331 -1.13076 -2.35208 -0.945786 -0.294698 0.675414 1.11315 --1.54736 0.086865 -1.67129 0.20455 -1.97166 0.575769 1.31028 -2.74395 -1.97166 0.575769 -1.10923 2.61727 -1.85995 1.61191 -3.37945 1.76658 -1.55041 0.451042 0.985056 -1.97041 -1.55041 0.451042 -0.650713 1.77356 -1.16444 1.43393 2.42242 -0.73483 -1.16444 1.43393 -2.482 0.451788 -1.16444 1.43393 0.059582 0.283042 -0.599922 -1.45383 -2.06913 0.507185 -0.599922 -1.45383 1.79104 -0.206634 --0.204764 1.67967 -1.41311 -1.78854 --0.204764 1.67967 1.08163 1.87594 --0.885901 -1.321 -0.262986 -2.15956 --0.885901 -1.321 0.0982835 1.78529 -1.4878 -0.252114 0.639867 1.88149 -1.4878 -0.252114 -0.229715 -1.75918 -0.334122 1.63371 1.71362 0.920451 -0.334122 1.63371 0.341428 0.143689 --1.77582 -0.949226 -2.05594 -2.02397 --1.77582 -0.949226 2.19243 1.82061 --1.77383 0.261823 2.48235 -0.487433 --1.77383 0.261823 -2.18348 0.582535 -0.671015 -0.177632 -0.784658 -0.00299305 -1.98066 1.14718 2.5002 -2.52279 -1.98066 1.14718 -2.40523 2.35664 -1.54103 -0.676369 1.37542 1.89455 -1.54103 -0.676369 -1.12791 -1.62937 -0.808368 0.848749 1.2534 -0.733228 -0.808368 0.848749 -1.33181 0.135383 -1.14222 -1.9905 -3.52612 0.0923492 -1.14222 -1.9905 3.43088 0.0715892 --1.37916 -1.73057 -0.752749 -3.30496 --1.37916 -1.73057 0.707 3.10513 --1.54457 -1.7467 -1.06593 -3.48858 --1.54457 -1.7467 1.04353 3.30554 --0.453535 -1.61389 0.658354 -2.12523 --0.453535 -1.61389 -0.956361 1.94668 --1.69897 1.42515 -1.63735 2.95658 --1.69897 1.42515 1.6735 -2.75634 --1.86684 0.774897 2.47755 -1.51924 --1.86684 0.774897 -2.30633 1.69188 -1.20777 0.0876874 0.409192 -1.43743 -1.20777 0.0876874 0.168032 1.38857 -1.25415 -1.74717 -3.15844 -0.367208 -1.25415 -1.74717 3.08991 0.571259 --0.97903 -1.07793 0.553824 1.36007 --1.56623 -1.25428 -1.48369 -2.528 --1.56623 -1.25428 1.53981 2.28606 --0.744469 -1.12105 -0.0809299 1.24107 --0.428329 1.564 0.630066 2.02621 --0.428329 1.564 -0.94916 -1.84097 -1.82754 -1.03575 2.18324 2.27022 -1.82754 -1.03575 -2.06673 -2.07453 --1.47323 -1.9258 -0.749792 -3.78417 --1.47323 -1.9258 0.705149 3.61969 --1.30738 1.57902 -0.753055 2.95291 -0.552015 -0.260227 0.580989 0.735428 --0.997101 1.05582 -0.619292 1.84502 --0.997101 1.05582 0.619395 -1.33935 -1.00134 -1.32982 -2.17985 -0.22877 -1.00134 -1.32982 2.08431 0.567141 --0.159047 1.86954 -1.70729 -2.01927 --0.159047 1.86954 1.42974 2.06963 --0.159047 1.86954 0.277548 -0.0503667 --1.40363 -1.467 -1.02503 -2.82246 --1.40363 -1.467 1.0153 2.57868 -0.998035 -0.554564 1.0001 1.11484 -0.998035 -0.554564 -0.902524 -0.326571 -1.84764 -0.490465 1.11218 2.51391 -1.84764 -0.490465 -0.872586 -2.38039 -0.313099 1.82119 -2.29439 -1.31689 -0.313099 1.82119 2.01423 1.21931 --1.76875 -1.61267 -1.64391 -3.3996 --1.76875 -1.61267 1.66035 3.22565 -0.128529 0.0610521 0.325902 -0.410202 -0.128529 0.0610521 0.189775 0.48539 -0.128529 0.0610521 -0.515678 -0.0751878 -1.64888 -0.117985 0.396272 2.15733 -1.64888 -0.117985 -0.042346 -2.11096 --0.782348 -1.01363 -0.0255648 0.933152 --1.06851 -1.18591 -0.646092 -2.08995 --1.06851 -1.18591 0.611386 1.68416 --0.863112 1.4961 -0.0696809 2.40609 --0.863112 1.4961 -0.105633 -2.11637 -1.96407 1.98056 4.31562 -1.81946 -1.96407 1.98056 -4.31676 1.691 -0.848116 1.35219 -2.1116 -0.0440826 -0.848116 1.35219 1.95337 -0.303925 --1.37642 0.0146509 -1.21581 0.0474303 --1.93923 0.96902 -2.39205 2.13192 --1.93923 0.96902 2.51932 -1.96255 -0.905799 -0.778851 1.2342 0.894159 -0.905799 -0.778851 -1.24226 -0.278527 -0.847887 0.587823 0.981547 -0.923733 -0.847887 0.587823 -1.00856 0.176646 -0.847887 0.587823 0.0270144 0.747087 --0.314937 0.787159 -0.00948784 1.12175 --1.50426 1.94537 -0.79346 3.85555 --1.50426 1.94537 0.751742 -3.69522 -1.96773 0.0809011 0.295756 -2.77733 -1.96773 0.0809011 -0.0408409 2.75694 -1.85218 1.1078 2.34296 -2.2791 -1.85218 1.1078 -2.24154 2.08896 -0.512497 1.1802 -1.62499 -0.407073 -0.512497 1.1802 1.29586 -0.0843515 -0.512497 1.1802 0.329129 0.491425 -1.87561 -0.0845733 0.310759 2.58998 -1.87561 -0.0845733 -0.0313054 -2.56573 --1.53417 0.170674 2.0726 -0.284934 --1.53417 0.170674 -1.65345 0.397131 -1.48366 -1.30807 2.48003 1.42238 -1.48366 -1.30807 -2.45008 -1.1693 --1.98623 -1.52649 -2.18052 -3.37505 --1.98623 -1.52649 2.22176 3.22116 --1.65024 1.24234 -0.0660933 -0.224545 -0.783601 -1.39885 1.94844 0.149866 -1.15075 1.78681 -3.13964 0.129075 -1.15075 1.78681 3.04907 -0.330152 -1.23041 0.478477 -0.429823 1.09491 -1.92429 0.187199 0.515198 -2.69321 -1.92429 0.187199 -0.254387 2.6436 --0.507085 -1.02819 -0.0145302 -1.47582 --0.507085 -1.02819 -0.501034 1.05857 --1.5302 -0.313459 2.03671 0.523926 -0.935026 -1.13633 -1.81294 -0.22945 -1.28536 0.846532 -1.39324 0.98669 -1.11932 -1.71937 0.0947967 -0.216532 -1.46616 1.74516 3.31048 -0.988489 -1.46616 1.74516 -3.34367 0.799485 -1.46616 1.74516 0.0331978 0.189004 --1.37626 -1.4542 -0.983622 -2.77723 --1.37626 -1.4542 0.970928 2.52648 --1.37626 -1.4542 0.0126945 0.250755 --1.93173 0.260695 -2.5322 0.586589 --1.04905 1.21845 -0.59288 2.12795 --1.04905 1.21845 0.537709 -1.72999 -1.67983 1.52596 3.06867 -1.62601 -1.67983 1.52596 -3.05066 1.43296 --1.99021 0.368212 2.88155 -0.742387 --1.99021 0.368212 -2.65377 0.83148 -1.2168 -0.121259 0.454523 1.45487 -1.2168 -0.121259 0.117917 -1.38663 --0.492243 0.109575 0.838648 -0.0876015 --0.492243 0.109575 -0.394763 0.692494 --0.492243 0.109575 -0.443884 -0.604893 -1.90435 0.547588 1.23732 -2.61431 -1.90435 0.547588 -1.01982 2.48031 -0.1328 -1.32328 -1.45706 0.972303 -0.1328 -1.32328 0.862985 -0.940068 --0.98131 0.556013 -0.783093 1.14415 --0.98131 0.556013 1.14013 -0.632467 --0.98131 0.556013 -0.35704 -0.51168 --1.38179 -1.21721 1.20045 2.05159 --1.53614 0.523259 1.97307 -0.884693 --1.53614 0.523259 -1.68419 1.11791 -0.0610481 -1.9959 -2.20329 1.91334 -0.0610481 -1.9959 1.95247 -1.89994 -0.0610481 -1.9959 0.25082 -0.0134 -0.952708 1.10753 -1.7738 0.272478 -1.97154 1.26551 2.7459 -2.42998 -1.97154 1.26551 -2.67023 2.2639 --1.86561 -1.52206 -1.91954 -3.27888 --1.86561 -1.52206 1.95453 3.10994 --0.732804 1.93813 0.637049 2.97371 --0.732804 1.93813 -0.811839 -2.82101 -0.171796 -0.737796 -0.96468 0.461077 --1.01641 -0.0936229 1.33972 0.110662 --1.50229 -0.184728 -0.431846 0.130893 -1.70496 -1.42395 2.88214 1.76143 -1.70496 -1.42395 -2.84679 -1.56201 --1.31542 -1.08684 1.18922 1.73809 --0.25709 -1.51271 -1.16232 1.59887 --0.25709 -1.51271 0.780119 -1.73935 --1.47746 -0.352357 1.93766 0.573719 --1.47746 -0.352357 -1.56521 -0.786723 -1.79911 0.332156 -0.518551 2.33871 --1.61175 1.75217 -1.19854 3.55996 --1.61175 1.75217 1.184 -3.38376 --1.61175 1.75217 0.0145398 -0.176195 -0.0500474 1.95472 -2.12965 -1.86909 -0.0500474 1.95472 1.86796 1.85806 --1.37489 -0.813114 1.5255 1.29125 -0.63302 0.665201 0.957647 -0.669509 -0.63302 0.665201 -1.09054 -0.038302 --0.120045 -1.0434 0.625588 0.239538 -1.21561 -0.571906 -0.64457 -0.889528 -0.00403931 1.60644 -1.62017 -1.449 -0.00403931 1.60644 1.23386 1.46093 -1.27633 0.429869 0.902577 -1.5306 -1.27633 0.429869 -0.39807 1.2432 -0.636113 -1.10872 -1.61277 0.20022 -0.636113 -1.10872 1.38271 0.305351 -1.51316 1.97331 -3.86961 0.68598 -1.51316 1.97331 3.82776 -0.841909 --1.84575 1.62997 1.816 -3.33338 --1.45781 -0.88618 -1.46047 -1.78003 --1.45781 -0.88618 1.61989 1.48265 --0.711799 1.65523 -0.545397 -2.27376 --1.78666 -1.16134 -1.97959 -2.46668 --1.78666 -1.16134 2.06948 2.2664 -1.86755 -1.18596 -2.42582 -2.07735 --0.072336 0.715757 0.104133 0.933122 --0.072336 0.715757 0.692214 -0.325687 --1.92633 1.60584 -1.9898 3.50654 --1.92633 1.60584 2.01867 -3.35015 --0.519493 1.24261 0.158893 1.72569 --0.519493 1.24261 -0.555022 -1.38994 --1.3116 1.79 -0.565672 3.35472 --1.3116 1.79 0.504049 -3.16044 --1.30496 1.53449 0.747155 -2.62338 --0.872095 -1.60687 0.0269428 -2.59028 --0.872095 -1.60687 -0.194238 2.34066 --1.72689 -1.31579 -1.76697 -2.75061 --1.72689 -1.31579 1.82412 2.54645 -0.750789 1.28458 -1.93695 -0.148977 -0.750789 1.28458 1.74003 -0.24006 --1.74071 -1.18009 -1.87487 -2.48059 --1.74071 -1.18009 1.95932 2.27154 -1.82766 -0.873847 1.86033 2.35131 -1.82766 -0.873847 -1.7062 -2.16029 -1.07807 0.484387 0.934732 -1.23967 -1.07807 0.484387 -0.179199 0.902448 -1.07807 0.484387 -0.755533 0.337225 --1.77373 0.988382 -2.0355 2.10361 --1.77373 0.988382 2.16286 -1.89901 -0.342109 1.56422 1.60001 0.807824 -0.141752 0.807229 -0.998206 -0.526619 -0.362193 0.74494 -1.07266 -0.312234 -0.362193 0.74494 0.86339 -0.428121 --1.62856 -1.9108 -1.08633 -3.90651 --1.62856 -1.9108 1.06121 3.74961 --1.62856 -1.9108 0.0251243 0.156894 -1.08781 0.0914149 0.432475 -1.28077 -1.08781 0.0914149 0.210879 1.23401 --0.510619 1.6606 0.636498 2.26221 --0.510619 1.6606 -0.907501 -2.08188 --0.861841 -1.01543 0.405788 1.02037 -1.16509 0.598464 -0.772153 0.669162 -1.16509 0.598464 -0.346189 0.653967 --1.98848 -1.99605 -1.79804 -4.43626 --1.98848 -1.99605 1.79763 4.31023 --1.98848 -1.99605 0.000416032 0.126035 --1.18598 -1.68867 -0.429738 -3.04309 --1.18598 -1.68867 0.348986 2.82112 -0.278116 -1.32741 0.999668 -0.578637 -0.278116 -1.32741 0.607465 -0.235928 -0.257356 -1.29338 0.857882 -0.610601 -1.31871 1.08326 -1.89628 0.961177 --0.68368 1.25504 -0.267703 -1.50027 -1.96059 -1.80667 3.91938 1.97806 -1.96059 -1.80667 -3.90804 -1.8379 --0.297035 -0.315394 -0.203892 -0.765154 --0.297035 -0.315394 0.708546 0.232639 --0.297035 -0.315394 -0.504655 0.532515 -0.203657 0.078626 -0.594397 -0.0689726 -0.551813 -1.39905 1.63612 -0.201378 -1.77308 -0.40912 0.942583 2.38294 -1.77308 -0.40912 -0.669228 -2.25478 -0.706988 -1.20845 -1.79494 0.162953 -0.706988 -1.20845 1.58487 0.272058 -1.39577 1.02365 1.90523 -1.46995 -1.39577 1.02365 -1.81124 1.14796 -1.39577 1.02365 -0.0939992 0.321993 -1.9191 0.969606 -1.96787 2.31561 -0.194369 1.84956 0.285864 0.0577452 -1.63846 -0.52778 -0.857702 -1.91724 -0.236579 1.63447 1.58054 1.09572 -1.21535 -0.434218 -0.331233 -1.13199 -1.5891 -0.784088 1.58587 1.93815 -1.5891 -0.784088 -1.38873 -1.68028 -0.721383 -0.740691 -1.18313 -0.0433147 -1.55947 -1.96376 -3.89443 -0.794941 -1.55947 -1.96376 3.85847 0.949587 -1.87641 1.48133 3.13692 -2.07213 -1.87641 1.48133 -3.09669 1.90183 -1.87641 1.48133 -0.0402332 0.170294 --0.42525 1.10666 0.135815 1.48844 --0.441648 1.48638 0.518016 1.94104 --0.441648 1.48638 -0.856846 -1.72819 --1.77799 -0.378177 2.46281 0.707081 --1.77799 -0.378177 -2.188 -0.834582 -1.6981 1.44815 2.92568 -1.72807 -1.6981 1.44815 -2.89471 1.52987 --0.817977 0.923892 -0.446756 1.55984 --1.97443 -1.37834 2.31373 2.87812 -1.46727 0.592026 -0.90135 1.51363 -1.26518 1.00841 1.79384 -1.26126 -1.26518 1.00841 -1.72159 0.887234 -1.06166 -1.51952 -2.56179 -0.196787 -1.06166 -1.51952 2.46431 0.467401 --1.82972 1.45843 1.92889 -2.93907 -0.184874 -1.36053 -1.55194 0.954255 --1.55081 -1.5903 -1.21282 -3.17909 --1.55081 -1.5903 1.20821 2.97589 --0.763151 -0.535832 -0.532542 -1.08338 --0.763151 -0.535832 0.943366 0.480356 -1.82407 -1.08982 2.2901 2.23265 -1.82407 -1.08982 -2.18531 -2.03648 --0.315003 0.544215 -0.13283 0.938715 --1.80527 -1.75552 -1.60494 -3.73566 --1.80527 -1.75552 1.60955 3.57787 --0.931613 1.99936 0.367443 3.32595 --0.931613 1.99936 -0.500213 -3.16916 -0.22792 -1.99079 -2.43167 1.6642 -0.22792 -1.99079 2.18741 -1.60895 -1.33641 0.825438 1.53915 -1.48519 -1.33641 0.825438 -1.36448 1.10516 -1.33641 0.825438 -0.174673 0.380023 --0.902626 1.87389 0.269529 3.07017 --0.902626 1.87389 -0.414675 -2.89029 -0.0865827 -1.24016 -1.32484 0.933748 -0.220124 0.702737 0.773676 -0.38542 -0.220124 0.702737 0.19215 0.790453 -1.90199 -0.758006 -1.48436 -2.3825 -1.81018 -0.651594 1.41753 2.40086 -1.81018 -0.651594 -1.20651 -2.22882 -1.70418 -1.11213 2.26229 1.98154 -1.70418 -1.11213 -2.16588 -1.75902 -0.249588 1.50392 1.35783 0.896069 -1.27683 1.8879 -3.46004 0.279335 -1.27683 1.8879 3.38884 -0.457649 --0.695204 -1.18753 -0.210925 1.37105 --0.213884 1.89337 0.26596 -0.0629528 --0.763044 -0.601589 -0.387745 0.622918 -1.17296 -1.77787 -3.14338 -0.180315 -1.17296 -1.77787 3.05759 0.382395 -1.72867 1.56483 -3.17282 1.51022 --1.94513 0.0994422 2.83306 -0.196821 --1.94513 0.0994422 -2.56855 0.224858 -0.762194 0.792437 1.15955 -0.720604 -0.762194 0.792437 -1.25069 0.0846311 -0.762194 0.792437 0.0911389 0.635973 --1.30138 -0.0167671 1.72044 0.0244633 --1.30138 -0.0167671 -0.934422 -0.160839 --1.30138 -0.0167671 -0.78602 0.136376 --1.41167 -1.05738 1.39822 1.76628 --1.59601 1.56821 -1.32139 3.17109 --1.59601 1.56821 1.32545 -2.97092 --0.145167 -1.71947 1.22004 -1.84005 -0.0108109 0.00962056 0.168945 -0.175626 -0.0108109 0.00962056 -0.236568 -0.0584904 -0.0108109 0.00962056 0.0676233 0.234117 --1.77327 0.802075 2.27518 -1.52371 --1.77327 0.802075 -2.10273 1.72043 --1.33063 1.47627 -0.881658 2.78229 --1.33063 1.47627 0.85614 -2.52848 -0.433612 -0.802298 -1.15807 0.274501 -1.74566 0.682651 1.4568 -2.26683 -1.74566 0.682651 -1.24413 2.07305 --0.669467 -0.716488 -0.37394 -1.24395 --0.563073 1.8339 0.778275 2.58808 --0.563073 1.8339 -1.00191 -2.43806 -0.185244 -1.84073 -2.15807 1.52364 -0.185244 -1.84073 1.86867 -1.46803 -1.12839 -0.614399 -0.865427 -0.591398 -0.247577 -1.26002 -1.50178 0.785665 -0.247577 -1.26002 0.748788 -0.646871 -0.247577 -1.26002 0.752992 -0.138794 --1.65753 -1.24523 -1.66941 -2.56514 --1.65753 -1.24523 1.73544 2.34236 --0.800256 -1.9373 0.521736 -3.05656 --0.800256 -1.9373 -0.683448 2.89712 --1.47542 1.21268 1.39108 -2.12483 --0.859135 -0.871937 -0.526788 -1.51416 --0.859135 -0.871937 0.702251 0.83842 --0.859135 -0.871937 -0.175463 0.675737 -1.61347 -0.22355 0.589435 2.09933 -1.61347 -0.22355 -0.231347 -2.0076 --1.72628 0.0569215 2.41902 -0.103689 --1.72628 0.0569215 -2.07711 0.128181 --1.69896 -1.58474 -1.51929 -3.28615 --1.69896 -1.58474 1.53262 3.10111 --1.88884 1.28486 -2.12561 2.78437 --1.88884 1.28486 2.19635 -2.60661 -0.236737 -1.70142 1.69899 -1.18644 -0.236737 -1.70142 0.333592 -0.0895809 --0.731175 -0.97787 -0.305873 -1.57631 --0.731175 -0.97787 0.478333 0.649959 --0.15784 -0.812722 -0.786659 0.722377 -0.6439 1.12737 -1.6424 -0.200829 --1.34194 -0.306493 -1.29674 -0.728465 -0.98126 -1.38823 -2.26748 -0.15349 -0.98126 -1.38823 2.15724 0.473726 --1.79936 1.43394 -1.84025 3.04415 --1.79936 1.43394 1.88294 -2.86015 -0.945627 -1.07953 1.65609 0.723024 -0.945627 -1.07953 -1.72433 -0.27327 --1.79512 1.51914 -1.77088 3.22133 --1.79512 1.51914 1.80124 -3.04298 --0.941835 -1.5934 -0.100085 -2.63908 --1.42166 -1.25572 -1.20814 -2.44056 --1.42166 -1.25572 1.24558 2.16413 --0.357503 1.73677 -1.24077 -2.04591 --0.357503 1.73677 0.953865 2.17009 --0.565034 -1.53646 -0.695194 1.92133 -0.466532 1.12921 -1.52976 -0.427574 -1.18495 -1.12553 -1.91434 -0.67856 --1.9038 0.545187 -0.214605 -0.136183 -1.29074 0.16909 0.515817 -1.56626 -1.29074 0.16909 0.012404 1.47044 -0.941848 -1.6288 -2.65558 0.109992 -0.941848 -1.6288 2.51799 0.134714 -0.941848 -1.6288 0.137592 -0.244706 --0.750288 -1.0253 -0.0901483 1.00178 -1.06443 1.85936 3.08408 -0.0816154 -1.06443 1.85936 0.109264 0.187885 --1.64157 1.15259 1.77577 -2.13913 -0.176185 -0.0332035 0.311604 0.473299 -0.176185 -0.0332035 0.248189 -0.506665 -1.21492 -1.9682 -3.55825 -0.0746069 -1.21492 -1.9682 3.47498 0.241562 -0.34896 -0.351401 0.61126 0.558384 -0.34896 -0.351401 -0.790034 0.161551 -0.34896 -0.351401 0.178774 -0.719935 -1.86359 -1.03475 -2.08439 -2.15565 -0.477746 1.27194 -1.7154 -0.521224 -0.477746 1.27194 0.375885 0.420723 --0.829347 -0.966331 0.497026 0.860444 -1.27824 1.99355 -3.67472 0.17567 -1.27824 1.99355 3.60069 -0.337539 -0.209735 -0.465835 -0.796985 0.294009 -1.44519 -1.54489 2.89617 1.14369 -1.44519 -1.54489 -2.91159 -0.92177 --0.861816 1.08416 0.26961 -1.21171 -1.02089 1.94646 -3.31246 -0.278707 -1.02089 1.94646 3.19556 0.108127 --1.68989 -1.47323 -1.58461 -3.04888 --1.68989 -1.47323 1.61243 2.85167 -0.416189 1.60769 -2.10937 -0.921491 -0.973374 1.69581 -2.80359 -0.115257 -0.973374 1.69581 2.67403 -0.110593 -1.62998 1.40605 2.78614 -1.62561 -1.62998 1.40605 -2.75547 1.41228 -1.62998 1.40605 -0.0306674 0.213333 --0.0834495 0.0844868 0.47393 -0.129167 --0.0834495 0.0844868 -0.12679 0.476031 --0.0834495 0.0844868 -0.34714 -0.346863 --1.17726 1.23944 0.774338 -1.90222 --1.70034 -1.88107 -1.26694 -3.91171 --1.70034 -1.88107 1.25136 3.75675 -1.92395 -1.58855 3.40591 2.08791 -1.92395 -1.58855 -3.37578 -1.93016 -0.435908 -0.470779 0.719256 0.591997 -0.435908 -0.470779 -0.890443 0.151116 --0.433083 -1.82573 0.965579 -2.40285 --0.433083 -1.82573 -1.21644 2.27695 -0.684922 -0.778505 0.125516 -0.655699 --1.09907 -1.62747 -0.333563 -2.85038 --1.13177 1.47093 -0.532032 2.60881 --1.13177 1.47093 0.456133 -2.3245 -0.805768 -1.97823 -3.13331 0.707538 -0.805768 -1.97823 2.97689 -0.553381 -1.07153 -1.0405 -1.70778 -0.505512 -0.345756 1.80593 -2.31255 -1.25054 -0.345756 1.80593 2.03338 1.14076 --0.0798823 -1.68569 -1.59952 1.65421 --0.0798823 -1.68569 1.25413 -1.69512 -0.65 0.37621 0.702632 -0.795151 -1.20813 0.379668 -0.239101 1.18677 --1.84095 -1.30227 -2.01318 -2.79275 --1.84095 -1.30227 2.07915 2.60777 -0.0617917 -1.47455 1.07905 -1.21064 -1.11636 1.78928 -3.11158 0.0609683 -1.11636 1.78928 3.01388 -0.262534 -0.929806 0.44243 0.843302 -1.06669 --1.24499 -1.29493 -0.864533 -2.39282 --1.24499 -1.29493 0.855547 2.07888 --1.05267 -0.978081 0.821554 1.26779 --0.44334 0.732721 -0.146838 1.15046 --1.95253 0.213771 2.83564 -0.424602 --1.95253 0.213771 -2.58132 0.482658 --0.0668695 -1.47639 -1.38517 1.3592 --0.0668695 -1.47639 0.94405 -1.42368 --0.798239 -0.693338 -0.526414 -1.26838 --0.798239 -0.693338 0.860088 0.626246 -1.6552 0.496081 -0.799005 1.96836 -1.81584 0.560092 1.24123 -2.43679 -1.81584 0.560092 -1.00962 2.28224 -0.115751 -1.51193 -1.64858 1.20133 -0.883668 -1.78321 -2.87204 0.359725 -0.883668 -1.78321 2.72085 -0.157765 --1.55273 -0.016033 -1.67908 -0.0379018 --1.31784 1.91926 0.379803 -3.4388 -1.41821 0.486719 1.01954 -1.741 -1.41821 0.486719 -0.640831 1.47716 -1.41821 0.486719 -0.378707 0.263837 --1.55139 -1.30142 1.46939 2.37027 -0.329141 -1.4557 -1.81427 0.879203 -0.329141 -1.4557 1.37817 -0.672046 -0.329141 -1.4557 0.436099 -0.207157 -1.70912 -0.290594 0.71336 2.27307 -1.70912 -0.290594 -0.400103 -2.16995 --1.92251 -1.44184 -2.09892 -3.14474 --1.92251 -1.44184 2.14773 2.97868 --0.971726 -0.90698 -0.662488 -1.61586 -1.18639 -0.602469 -0.76238 -0.752103 -1.18639 -0.602469 -0.369296 -0.600109 -1.15985 -1.4767 -2.55892 -0.411483 -1.15985 -1.4767 2.49267 0.683836 --1.16071 0.0731942 1.52217 -0.0968967 --1.16071 0.0731942 -0.845592 0.487473 --1.16071 0.0731942 -0.676581 -0.390577 -0.934229 -1.71422 2.6597 0.0184326 -1.83165 -0.197867 -0.252238 -2.44893 --1.18263 0.0081846 -0.766069 -0.391271 --1.12255 -1.33687 0.56837 2.04413 --0.579334 1.39503 -0.552474 -1.6876 --1.48345 1.20095 -1.35715 2.37612 -1.12363 -1.86182 -3.25736 -0.0040166 -1.12363 -1.86182 3.15971 0.190946 -1.229 -0.0694781 0.185039 -1.42508 --0.82507 -0.283592 1.09916 0.281235 --0.82507 -0.283592 -0.615865 -0.839617 -0.289503 0.148885 -0.674303 -0.0925152 -1.7069 1.38477 2.8045 -1.79617 -1.7069 1.38477 -2.76265 1.59351 -0.947301 -1.65372 -2.7045 0.122918 -1.12039 0.621485 1.13402 -1.25173 -1.12039 0.621485 -0.890218 0.581175 -1.12039 0.621485 -0.243803 0.670557 -0.899554 0.590985 1.00661 -0.981474 -0.899554 0.590985 -0.99654 0.233581 -0.899554 0.590985 -0.0100675 0.747892 -1.20512 0.632866 -0.861077 0.825593 --0.25216 -1.27858 0.481374 0.208188 -0.252528 1.47313 1.30172 0.848772 --0.225817 1.70364 -1.40859 -1.84787 --0.225817 1.70364 1.08851 1.93855 -1.10229 0.835489 -1.33717 0.61089 -1.882 0.565898 1.2686 -2.56542 --1.94397 0.332147 2.79682 -0.65901 --1.94397 0.332147 -2.55424 0.746615 -0.400212 -1.90743 -2.53201 1.2947 -1.3091 -1.10145 -1.92811 -0.932903 --1.94102 1.99832 -1.68752 4.39679 --1.94102 1.99832 1.68383 -4.26792 -1.59376 1.84718 3.65016 -1.14495 -1.59376 1.84718 -3.67481 0.97908 -1.59376 1.84718 0.0246533 0.165872 -0.848912 -1.59156 2.34155 0.0196588 -1.59171 -0.328978 0.776311 2.05768 -1.59171 -0.328978 -0.426729 -1.91981 --1.87856 1.08232 -2.21208 2.34719 --1.87856 1.08232 2.31878 -2.16407 --0.672719 1.49518 0.213954 2.21214 --0.672719 1.49518 -0.466902 -1.94332 -1.08889 -1.25426 -2.10091 -0.431541 --0.830276 -0.441666 -0.61823 -0.995009 --0.830276 -0.441666 1.04838 0.432931 -0.944478 -0.154541 0.517683 1.11845 -0.944478 -0.154541 0.200797 -1.05813 -1.32552 0.199837 -0.505834 0.112455 -0.172783 -0.00361277 -0.553915 0.00370955 --1.52687 -1.35989 -1.33878 -2.70763 --1.52687 -1.35989 1.36792 2.46964 -1.75734 0.966056 2.00772 -2.16841 -1.75734 0.966056 -1.87412 1.95654 -1.26316 -1.20002 -2.0987 -0.790211 -0.785101 -1.33984 1.86107 0.223515 --1.11585 0.0337698 -0.765636 0.496606 -0.0765338 0.824971 0.7398 -0.301235 -1.53558 0.282524 -0.309921 1.83342 -0.0929696 1.87371 -2.07877 -1.69546 -0.0929696 1.87371 1.79463 1.67055 -1.08972 -0.902001 1.51405 1.06241 --1.66318 -0.822617 -1.87375 -1.72779 --1.66318 -0.822617 2.048 1.50003 -0.773847 1.56892 -2.40289 -0.340963 -1.62209 -1.99272 3.98792 1.05119 -1.62209 -1.99272 -4.01863 -0.903081 -1.15743 1.84529 -3.2589 0.085545 -1.15743 1.84529 3.168 -0.274988 -1.83129 1.05704 2.22816 -2.26594 -1.83129 1.05704 -2.1163 2.07107 --0.0500894 1.87009 -1.87054 -1.8809 --0.0500894 1.87009 1.58619 1.89959 --0.0500894 1.87009 0.284357 -0.0186951 -1.31613 -0.20376 0.566166 1.60637 -1.31613 -0.20376 -0.0549333 -1.49093 --1.96043 0.262007 2.8437 -0.522134 -1.10086 -1.25353 2.05863 0.800838 -1.87157 -1.68641 3.57369 1.89026 -1.87157 -1.68641 -3.55757 -1.73363 -0.639939 -1.61431 2.10954 -0.362882 -1.00141 -0.598661 -0.95529 -0.361782 -0.0769375 1.64991 -1.76646 -1.41777 -0.0769375 1.64991 1.39786 1.39423 -0.212449 1.81136 -2.15269 -1.44739 -0.212449 1.81136 1.85626 1.38026 -1.59408 0.512181 1.10103 -2.03509 --0.506864 -1.1967 0.422377 0.350617 --1.28601 0.341958 -0.433419 -0.311073 -0.726101 -1.41021 -2.11034 0.280898 -0.726101 -1.41021 1.89391 0.047457 -1.23161 0.319745 -0.173501 1.27976 -1.23161 0.319745 -0.561781 0.199937 -1.60571 -0.577494 -0.947017 -1.82187 -0.590168 0.0466779 0.413678 -0.794339 -0.590168 0.0466779 0.345394 0.799381 --1.47307 1.73336 -0.934436 3.39702 --1.47307 1.73336 0.903301 -3.20567 -0.537892 -1.65705 -2.31058 0.796542 -0.537892 -1.65705 2.04197 -0.596189 --1.37887 0.0550144 -1.24128 0.168413 -0.470719 1.79051 -2.4384 -1.04584 --1.02171 -1.57352 0.133536 2.42275 -1.94588 -1.78754 3.86315 1.96275 -1.94588 -1.78754 -3.85117 -1.8201 --0.226649 -1.22204 -0.957882 1.17942 --0.226649 -1.22204 0.442985 -1.3959 --0.226649 -1.22204 0.514897 0.216484 --1.95495 -1.88312 -1.82483 -4.1485 --1.95495 -1.88312 1.83001 4.0128 --0.78417 -1.12688 0.0162349 1.26861 -0.695595 1.18972 -1.76077 -0.167378 -0.695595 1.18972 1.54752 -0.279848 --0.655691 1.25749 -0.32299 -1.48917 --1.69203 0.307982 2.32165 -0.554929 --1.69203 0.307982 -2.00614 0.681737 --1.69203 0.307982 -0.315511 -0.126808 --0.933319 -1.09972 0.426653 1.3467 --1.60921 1.78827 -1.16082 3.63233 --1.60921 1.78827 1.14278 -3.46015 --1.03462 1.29183 -0.516083 2.23368 --1.03462 1.29183 0.433945 -1.86587 --1.03462 1.29183 0.0821389 -0.367804 --1.80834 0.321424 2.53477 -0.607222 --1.80834 0.321424 -2.25672 0.713629 -0.0128248 1.57274 -1.59252 -1.39531 -0.0128248 1.57274 1.18919 1.40557 -0.0128248 1.57274 0.403329 -0.0102653 --0.00215716 1.31754 -1.3045 -1.10271 --0.00215716 1.31754 0.756305 1.17295 --1.11863 -1.9247 -0.0606915 -3.40681 --1.11863 -1.9247 -0.0399403 3.23147 --1.34658 1.21789 -0.0349205 -0.303187 -0.4819 1.27481 1.35014 0.100353 -1.17934 -1.04085 1.78543 1.10136 -1.17934 -1.04085 -1.75043 -0.705608 --1.61562 -0.381748 2.16475 0.666348 --1.61562 -0.381748 -1.84612 -0.837267 --1.61562 -0.381748 -0.318622 0.170919 --0.759939 -0.677458 -0.488131 -1.23673 --0.759939 -0.677458 0.845928 0.582859 --0.879119 -1.0852 0.315381 1.23816 -0.00824402 -1.66462 -1.69466 1.52065 -0.00824402 -1.66462 1.3342 -1.52722 --1.43796 0.872833 -1.42908 1.74861 --1.43796 0.872833 1.59351 -1.44372 -0.0655517 1.89109 1.78471 1.74088 -1.37994 1.19431 -2.1533 1.02595 --0.612176 0.611646 0.803968 -0.44617 --1.95953 -1.15029 -2.35227 -2.53318 --1.95953 -1.15029 2.44672 2.36467 -1.68912 1.48644 2.99605 -1.67832 -1.68912 1.48644 -2.97159 1.48255 --1.41075 -1.69692 -0.845002 -3.2687 --1.96591 1.29305 -2.28754 2.84761 --1.96591 1.29305 2.35929 -2.68216 --1.2852 0.145679 1.68703 -0.210493 --1.2852 0.145679 -1.10365 0.462987 --1.2852 0.145679 -0.58338 -0.252494 --1.39994 0.984165 -1.31613 1.93414 --1.39994 0.984165 1.43693 -1.61849 -1.94737 -0.62244 1.3992 2.68228 -1.94737 -0.62244 -1.2028 -2.5441 --1.89637 0.772214 2.53912 -1.52884 --1.89637 0.772214 -2.36991 1.69494 --1.89637 0.772214 -0.169209 -0.166096 --0.299172 1.34841 -0.957166 -1.40164 --0.299172 1.34841 0.521201 1.60668 --1.69118 -0.297848 -2.00428 -0.660044 --0.910067 0.480163 -0.703296 1.04426 --0.910067 0.480163 1.10751 -0.509366 --0.910067 0.480163 -0.404209 -0.534891 --1.43685 -0.00200796 -1.39031 -0.00539552 -0.617331 -0.206309 -0.791995 0.0129806 -0.854625 -1.86683 -2.98968 0.497837 -0.854625 -1.86683 2.83571 -0.31713 -0.250267 -1.31075 0.911515 -0.646392 -1.93134 0.851348 1.86009 -2.56984 -1.93134 0.851348 -1.70764 2.40345 --1.16215 -0.656275 -1.02341 -1.31154 --1.16215 -0.656275 1.30245 0.885341 -0.979807 -0.544894 -0.077051 -0.796167 -0.20364 -1.82162 -2.15556 1.47297 -0.20364 -1.82162 1.86163 -1.40974 -1.39362 -0.707583 -1.12206 -1.28326 --1.66028 1.8334 -1.22623 3.77335 --1.66028 1.8334 1.21016 -3.61043 --1.0907 0.114372 1.42808 -0.143539 --1.0907 0.114372 -0.809756 0.589983 -0.0548387 -1.45998 -1.51763 1.20903 -0.251388 1.82935 -2.22809 -1.41578 -0.251388 1.82935 1.94182 1.33815 -1.89691 -1.67702 3.57557 1.95368 -1.89691 -1.67702 -3.55668 -1.79892 --1.3274 -0.427225 1.67279 0.639229 --1.3274 -0.427225 -1.29668 -0.945738 -1.43751 -1.81886 -3.47147 -0.673508 -1.43751 -1.81886 3.42861 0.854036 --1.7007 0.223882 2.3546 -0.404178 --1.7007 0.223882 -2.02368 0.499778 -1.14416 -1.38216 2.31324 0.750787 -1.14416 -1.38216 -2.37092 -0.450575 -0.4532 0.285855 0.582363 -0.650649 -0.4532 0.285855 -0.79348 -0.0883676 -0.0861379 -0.920507 0.299447 -0.904056 --0.320011 -1.55712 -1.11214 1.7259 --0.320011 -1.55712 0.761869 -1.87828 --1.93359 -1.57739 -2.02714 -3.44936 --1.93359 -1.57739 2.05965 3.29207 --1.13162 1.20599 -0.734141 2.16472 --1.13162 1.20599 0.717037 -1.78988 --0.826271 1.48774 -0.0210193 2.35733 --0.826271 1.48774 -0.169838 -2.06607 -1.44347 1.0982 2.06736 -1.50425 --1.60956 -1.58872 -1.33245 -3.22343 --1.60956 -1.58872 1.33549 3.02751 -0.126871 -1.35257 0.916716 -0.973423 --1.92892 -0.217461 2.78827 0.428472 --1.92892 -0.217461 -2.5282 -0.489798 --1.92892 -0.217461 -0.26007 0.0613262 -0.899658 -0.213093 0.580754 1.0687 -0.899658 -0.213093 0.168566 -0.995443 --1.71374 0.289403 2.36548 -0.526039 --1.71374 0.289403 -2.05275 0.641814 -1.42715 -0.398962 0.878231 1.77102 -1.42715 -0.398962 -0.469769 -1.55806 -0.902398 -1.27997 -2.03068 -0.093681 -0.902398 -1.27997 1.90403 0.465745 -1.51014 -0.901244 -1.60556 -1.45025 -1.43141 -0.0657317 0.335933 1.77179 -1.43141 -0.0657317 0.118853 -1.73843 -1.47036 -1.2643 -2.35088 -1.16949 --1.76938 0.951936 -2.04163 2.02696 --1.76938 0.951936 2.17763 -1.82201 -1.60038 -1.78472 3.52687 1.22213 -1.60038 -1.78472 -3.54588 -1.0495 -0.999055 0.11024 0.465003 -1.17725 -0.999055 0.11024 0.223536 1.12848 --1.78159 1.7071 -1.59478 3.61138 --1.78159 1.7071 1.60204 -3.44712 -1.8724 1.09434 2.32725 -2.3282 -1.8724 1.09434 -2.22296 2.14201 --0.138129 -1.03308 0.307058 -1.15693 -0.391059 1.66245 1.84468 0.859974 -1.80846 0.821917 1.74958 -2.33595 -1.80846 0.821917 -1.5813 2.14367 --0.947188 -1.4128 -0.27822 -2.35338 --0.947188 -1.4128 0.139369 2.02891 --0.957458 -0.978664 0.656832 1.13828 -0.56004 -1.81135 -2.57319 0.931039 -0.56004 -1.81135 2.3422 -0.771059 --1.63681 0.67885 -1.85929 1.43619 --1.90436 0.570047 2.64537 -1.12279 --1.90436 0.570047 -2.43571 1.26282 --1.48924 -1.87415 0.794195 3.52475 --1.576 -0.573503 2.02054 0.991101 --1.576 -0.573503 -1.75711 -1.21918 --1.84577 1.82728 -1.63097 3.92733 --1.84577 1.82728 1.6326 -3.77897 -1.69957 -0.70917 1.49107 2.17066 -1.69957 -0.70917 -1.27972 -1.95942 --0.727676 -1.95304 0.664582 -2.99228 --0.727676 -1.95304 -0.838739 2.84298 --0.62044 1.86408 0.726845 2.70955 --0.62044 1.86408 -0.93366 -2.55646 --1.32849 1.4006 0.923732 -2.37164 -0.173735 1.90279 -2.22991 -1.62288 -0.173735 1.90279 1.95839 1.57538 --1.40314 1.18335 -1.21852 2.29609 --1.40314 1.18335 1.27286 -2.00361 --0.793165 -0.570178 0.94724 0.5256 --0.924508 0.113525 1.23333 -0.124091 -1.63088 0.788409 1.61143 -2.01245 -1.63088 0.788409 -1.41907 1.76966 --0.463175 1.47494 -0.812154 -1.72834 -1.31107 -0.506093 1.02556 1.56691 -1.31107 -0.506093 -0.590768 -1.2303 --0.115743 -1.61473 -1.46848 1.5964 --0.115743 -1.61473 1.09907 -1.6601 --1.10989 -1.50765 -0.462635 -2.65284 --1.10989 -1.50765 0.37586 2.37733 -0.641652 0.536996 0.845873 -0.736118 -1.76645 -1.12014 2.31642 2.0992 -1.76645 -1.12014 -2.21945 -1.89123 --1.69429 1.82281 0.0116631 -0.161281 --1.65574 -0.880101 -1.83979 -1.83915 --1.65574 -0.880101 1.99781 1.6066 --1.38485 1.47518 -0.98333 2.82319 --1.38485 1.47518 0.968795 -2.57785 -0.736365 1.19512 -1.79407 -0.11176 -0.736365 1.19512 1.60195 -0.325624 --0.121549 -1.68791 -1.5433 1.70593 --0.121549 -1.68791 1.20323 -1.76238 --0.987113 1.05271 0.00254682 -0.514605 -1.7502 1.057 2.18195 -2.1046 -1.7502 1.057 -2.07091 1.89129 -1.7502 1.057 -0.111041 0.21331 --1.67684 1.39302 -1.61422 2.87573 --1.67684 1.39302 1.6537 -2.66892 --1.67684 1.39302 -0.0394782 -0.206806 -1.64061 -1.00188 2.01326 1.92506 -1.64061 -1.00188 -1.89035 -1.68155 --0.367069 -0.0241015 0.739145 0.019683 --0.367069 -0.0241015 -0.359504 -0.61046 -0.521471 1.28057 1.42235 0.0605182 --1.58608 1.17824 -1.5669 2.39155 --1.58608 1.17824 1.64271 -2.14746 -0.986838 -0.454552 0.872668 1.13167 --1.31801 1.50692 -0.833576 2.82854 --1.31801 1.50692 0.800732 -2.57932 --0.960439 -1.04742 -0.570525 -1.81075 --0.960439 -1.04742 0.557814 1.27196 --1.7769 -1.78948 -1.51426 -3.7845 --1.7769 -1.78948 1.51331 3.62708 -1.62102 0.568246 -0.935099 1.85948 -0.0257854 1.72043 -1.7866 -1.57391 -0.0257854 1.72043 1.44846 1.57136 --1.23635 0.0473714 -0.898403 0.359988 --1.23635 0.0473714 -0.728219 -0.293801 --0.828189 -0.985101 0.444811 0.87113 --0.828189 -0.985101 -0.0199373 0.77409 -1.22075 -1.8245 -3.27963 -0.22928 -1.22075 -1.8245 3.20115 0.420621 --0.434586 1.44779 0.481351 1.88376 --0.434586 1.44779 -0.835076 -1.66049 --1.64278 0.919302 -1.7998 1.91173 --1.64278 0.919302 1.94696 -1.67446 -1.32151 -0.118357 0.0755667 -1.54161 -1.54892 0.513254 1.09291 -1.95545 -1.54892 0.513254 -0.779502 1.73556 -1.31262 1.45022 2.59427 -0.983416 -1.31262 1.45022 -2.62098 0.725552 --1.19105 1.76142 -0.367414 3.18127 --1.19105 1.76142 0.284111 -2.97533 --0.732838 1.6706 0.316119 2.54055 --0.732838 1.6706 -0.521879 -2.32326 --1.34242 -0.00203213 -1.08965 -0.00869754 --1.80472 -0.904487 -0.145971 0.195076 -0.16764 -1.71653 -1.96687 1.38691 -0.16764 -1.71653 1.6314 -1.32712 -0.632314 -0.973716 -1.43636 0.13451 -0.632314 -0.973716 1.24097 0.443987 -0.0895815 1.34978 0.881905 1.0421 -1.28911 -0.306584 0.720176 1.56479 -1.28911 -0.306584 -0.200399 -1.37971 -1.68861 0.155505 0.462284 -2.23369 -1.68861 0.155505 -0.126127 2.17593 -0.82292 1.4507 2.07749 -0.148519 --1.34434 -0.740452 -0.222713 0.340638 -1.53643 -0.032119 0.258943 1.94332 -1.53643 -0.032119 0.146047 -1.92874 -0.575273 -1.50005 1.83003 -0.311904 -1.16822 -1.99181 -3.55623 0.0426484 -1.16822 -1.99181 3.46522 0.121002 -1.16822 -1.99181 0.0910088 -0.16365 -0.567428 -0.861913 -1.27691 0.162953 -0.567428 -0.861913 1.08434 0.484075 --1.80496 -0.497619 2.47651 0.943534 --1.80496 -0.497619 -2.23425 -1.09193 -1.86041 -0.0680857 0.279173 2.558 -1.86041 -0.0680857 0.00518276 -2.53804 --0.671732 -0.265117 0.966351 0.229546 --0.162653 1.42998 -1.21433 -1.39379 --0.162653 1.42998 0.773178 1.51544 -1.85779 -1.5988 3.37263 1.93643 -1.85779 -1.5988 -3.34814 -1.77186 -1.9565 -0.29744 0.739992 2.75584 -1.9565 -0.29744 -0.496681 -2.68202 --1.55977 -0.990598 -1.60965 -2.01624 --1.55977 -0.990598 1.73552 1.75477 --0.947795 1.50555 -0.194813 2.50181 --0.361016 -1.68652 -1.18064 1.96934 --0.361016 -1.68652 0.880499 -2.10468 -1.40074 1.99406 0.0568896 0.158178 --1.4268 -1.99559 -0.583361 -3.87804 --1.4268 -1.99559 0.529414 3.72057 -1.76756 0.519582 -0.901094 2.19603 -1.67774 1.36066 -2.69033 1.54653 --0.521141 -1.88314 0.908502 -2.60954 --0.521141 -1.88314 -1.13162 2.47665 --0.521141 -1.88314 0.223116 0.132895 --0.224966 -1.61082 0.352384 0.10669 --1.10205 0.747117 -0.91201 1.43441 --1.10205 0.747117 1.14468 -0.966094 --1.58688 -0.972852 -1.66935 -1.99373 --1.58688 -0.972852 1.80106 1.74005 -0.737233 -1.986 -3.06782 0.837135 -0.737233 -1.986 2.89904 -0.690562 --1.29137 1.03065 -0.0915523 -0.353895 --0.554259 -1.33686 -0.554098 1.56902 --1.14026 1.16991 -0.771922 2.11144 --1.14026 1.16991 0.771075 -1.72728 -0.430335 -1.41606 -1.86187 0.709006 -0.430335 -1.41606 1.4701 -0.421895 -1.35162 0.910508 -1.55401 1.10535 --1.3506 1.81553 -0.61582 3.44239 --1.3506 1.81553 0.559345 -3.25477 --1.62553 -0.0492936 2.2397 0.0859065 --1.62553 -0.0492936 -1.84894 -0.11292 --1.24641 -0.0471429 1.64074 0.0663234 --1.24641 -0.0471429 -0.911377 -0.342932 --1.97898 1.97249 -1.79824 4.37347 -1.22822 -0.631541 -0.858821 -0.896515 --1.08405 -1.58707 -0.345806 -2.76593 --1.08405 -1.58707 0.245077 2.51199 -0.764941 0.13568 0.497543 -0.937051 -0.764941 0.13568 0.26896 0.916305 --1.2114 0.135314 1.58426 -0.185888 --1.2114 0.135314 -0.971865 0.514393 --1.2114 0.135314 -0.612398 -0.328505 --1.60205 -0.142788 2.1917 0.246321 --1.60205 -0.142788 -1.80148 -0.326326 --1.59195 0.991093 -1.67135 2.03116 --1.59195 0.991093 1.79778 -1.77925 -0.493257 -1.38569 1.52464 -0.270117 --0.906269 0.785708 -0.626006 1.42252 --0.906269 0.785708 0.861368 -0.81626 --0.906269 0.785708 -0.235363 -0.60626 --1.84252 0.226052 2.61877 -0.431841 --1.84252 0.226052 -2.3355 0.505536 -0.0221262 -1.22708 -1.24595 0.981213 -0.724036 -0.634675 0.974954 0.77142 --1.79138 0.696402 2.36612 -1.32453 -1.54529 1.58002 3.05796 -1.30707 -1.54529 1.58002 -3.063 1.103 -1.54529 1.58002 0.00504329 0.20407 -1.91511 0.879736 1.91104 -2.52449 -1.91511 0.879736 -1.76343 2.35286 -1.91511 0.879736 -0.147605 0.171633 --1.8876 0.539164 2.62345 -1.05478 --1.8876 0.539164 -2.40498 1.19315 -0.232106 -1.80933 1.88018 -1.34351 --1.69471 1.76625 -1.35929 3.66275 --1.69471 1.76625 1.35257 -3.49574 --0.923426 -0.818912 0.840358 0.872147 --1.67558 -0.0147297 2.32882 0.0262526 --1.67558 -0.0147297 -1.96229 -0.0334016 --1.26807 -1.83451 -0.437916 -3.39621 -1.44627 1.72243 3.24482 -0.972018 -1.44627 1.72243 -3.27902 0.777983 --1.96665 1.84024 -1.88894 4.06194 --1.96665 1.84024 1.8982 -3.92433 --1.70263 1.04049 -1.86783 2.17816 --1.70263 1.04049 1.98281 -1.95657 -0.268305 -1.38167 -1.66148 0.879359 -0.268305 -1.38167 1.12817 -0.687917 --1.19979 -0.0536806 -0.864518 -0.420811 --1.84321 -1.44429 -1.92622 -3.09615 --1.84321 -1.44429 1.97029 2.91922 -1.31101 1.60425 2.8785 -0.830107 -1.31101 1.60425 -2.92474 0.603188 --1.31638 -1.92007 -0.442741 -3.61136 --1.31638 -1.92007 0.375833 3.43893 -0.740515 -1.83626 2.63102 -0.483789 -0.740515 -1.83626 0.183022 -0.179006 -1.40363 -1.52823 2.82522 1.07976 --1.42681 -1.31938 -1.17587 -2.56234 --1.42681 -1.31938 1.19891 2.29734 -0.670612 -1.59627 -2.35048 0.531495 -0.670612 -1.59627 2.12049 -0.286864 -0.670612 -1.59627 0.229995 -0.244631 -1.79547 1.35408 -2.75528 1.80932 --0.437647 -1.01192 0.0431789 -1.40452 --0.437647 -1.01192 -0.587869 1.02344 --1.01756 -1.07356 0.637005 1.40055 -0.423361 0.698545 0.189396 0.728837 -1.62326 -0.134796 0.429287 2.11229 -1.62326 -0.134796 -0.066308 -2.05748 --1.98207 -0.573078 2.8021 1.15823 --1.98207 -0.573078 -2.60465 -1.2844 --1.57799 -1.21723 -1.52878 -2.46289 -0.104313 1.63712 1.41123 1.33122 -1.05307 0.0771754 0.420077 -1.23648 -1.05307 0.0771754 0.240093 1.199 -0.374993 -1.33357 1.22573 -0.364214 --1.87359 -0.168085 2.68667 0.324562 --1.87359 -0.168085 -2.40622 -0.377433 --0.492172 -0.0478889 0.839588 0.0385576 --1.63387 1.64316 -1.33773 3.35444 --1.63387 1.64316 1.33704 -3.16783 -1.85565 -1.74231 3.68094 1.80531 -1.85565 -1.74231 -3.67142 -1.65138 --1.82862 -0.497946 2.52219 0.952516 --1.82862 -0.497946 -2.28458 -1.09574 --1.99377 -1.46545 -2.2396 -3.24479 --0.000977501 -1.64185 -1.6552 1.50143 --0.000977501 -1.64185 1.28535 -1.51327 --0.068397 1.54448 -1.45547 -1.44933 --0.068397 1.54448 1.04808 1.50258 --0.471543 -1.9926 1.13711 -2.71431 --0.471543 -1.9926 -1.34897 2.60819 -1.3203 0.319041 0.741046 -1.61097 -1.3203 0.319041 -0.244958 1.42159 -0.385494 1.31642 1.22009 0.309909 -1.76335 -0.245378 0.629689 2.37658 -1.76335 -0.245378 -0.328119 -2.29548 -1.0924 0.862981 1.45968 -1.09099 -1.0924 0.862981 -1.38839 0.589571 -0.435601 0.626278 -1.00401 -0.201668 --1.09844 -1.33874 -0.58353 -2.35891 --1.09844 -1.33874 0.5177 2.02426 --1.48415 -0.164 1.9909 0.266744 -1.94555 0.705033 -1.38604 2.50407 --0.80234 -1.76448 0.312109 -2.76979 --0.80234 -1.76448 -0.488662 2.57123 -0.877327 1.46172 -2.31404 -0.079057 -0.877327 1.46172 2.15991 -0.222978 -1.94047 -0.814845 1.78917 2.60343 -1.94047 -0.814845 -1.62995 -2.44172 -1.01629 -0.717775 -1.13168 -0.441686 -0.82355 -1.1325 -1.75018 -0.0544861 -0.82355 -1.1325 1.61357 0.507123 -1.62715 -1.73425 3.44863 1.32736 -1.62715 -1.73425 -3.46009 -1.15125 --1.2071 0.307852 1.54075 -0.422674 --1.2071 0.307852 -1.07027 0.77766 -0.11249 1.96095 -2.22758 -1.79034 -0.11249 1.96095 1.96899 1.76275 --0.00314755 0.126148 -0.432868 -0.255591 --0.00314755 0.126148 -0.00283838 0.501649 --0.00314755 0.126148 0.435707 -0.246059 -1.76273 1.4893 3.06263 -1.82706 -1.76273 1.4893 -3.03181 1.64193 --1.48384 1.67668 -1.0065 3.29419 --1.48384 1.67668 0.98242 -3.09549 -1.84502 0.354787 0.84581 -2.52838 -1.84502 0.354787 -0.582373 2.42669 -1.01875 -1.80936 -3.05426 0.141712 -1.01875 -1.80936 2.93536 0.0567071 -0.379121 0.727349 0.202118 0.736842 -1.60825 0.445793 -0.314963 0.177619 -1.60848 -1.62922 3.21531 1.38867 -1.60848 -1.62922 -3.21814 -1.19834 --0.849009 1.56351 0.0192897 2.49762 --0.849009 1.56351 -0.196782 -2.23426 --0.653098 -1.52338 -0.527537 1.97728 --0.385 -1.49258 0.354419 0.192344 --0.0326613 1.83038 -1.84445 -1.80091 --0.0326613 1.83038 1.54713 1.81577 --1.45887 0.0511007 1.96063 -0.0818951 --1.45887 0.0511007 -1.45318 0.131133 --0.853511 -0.476203 -0.639737 -1.0345 --0.853511 -0.476203 1.05369 0.476377 -1.11587 1.19173 1.97301 -0.880224 -1.11587 1.19173 -2.00248 0.51598 -0.201499 -1.86979 1.94133 -1.48108 -1.90075 -1.18931 2.54017 2.32963 -1.90075 -1.18931 -2.45341 -2.15008 -1.90075 -1.18931 -0.0867563 -0.179552 -0.156998 0.899643 -1.08136 -0.577369 -1.21092 -1.6769 -2.98251 -0.345361 -1.21092 -1.6769 2.90985 0.566105 --1.61092 0.799843 -1.77796 1.66706 --1.61092 0.799843 1.96221 -1.42487 -1.36655 -1.65911 3.03958 0.880341 -1.36655 -1.65911 -3.08096 -0.66891 -1.134 -1.74649 -3.04679 -0.134903 -1.134 -1.74649 2.95415 0.344948 -1.81329 -1.72346 3.60131 1.73081 -1.81329 -1.72346 -3.59342 -1.57137 --1.5835 0.877664 -1.69964 1.80888 --1.5835 0.877664 1.86054 -1.55468 --0.723846 0.632963 0.854909 -0.526445 -0.186657 1.73191 -2.01133 -1.3811 -0.186657 1.73191 1.68373 1.31517 -0.236401 -0.674279 -0.953159 0.377687 --1.36893 -0.762969 -1.33995 -1.53163 --1.36893 -0.762969 1.55128 1.20081 -0.705524 -0.98273 -1.48016 0.0441549 -0.705524 -0.98273 1.31878 0.510543 -1.26335 0.926781 1.66126 -1.31081 -1.26335 0.926781 -1.55509 0.914334 -1.26335 0.926781 -0.106176 0.396472 -0.511805 0.812639 -1.20219 -0.20207 -0.511805 0.812639 1.00366 -0.478172 -0.451441 -1.362 1.41798 -0.295028 -1.99743 1.06329 2.33226 -2.60541 -1.99743 1.06329 -2.22301 2.44277 -1.38053 0.599241 1.19182 -1.65008 -1.50656 -1.15068 -2.1353 -1.31262 --0.652429 -0.650384 -0.382993 -1.16828 --1.87315 0.332698 -2.39772 0.742213 --1.69312 0.782795 2.12912 -1.44082 --1.69312 0.782795 -1.9455 1.65735 -1.79532 0.464181 1.05153 -2.41705 --1.54184 -0.432818 2.01907 0.730749 --1.54184 -0.432818 -1.69766 -0.941254 -1.74714 -0.296517 0.72629 2.34416 -1.74714 -0.296517 -0.426294 -2.24474 -1.66375 0.706557 1.47342 -2.10491 -1.66375 0.706557 -1.25632 1.88243 --1.03449 -1.96976 0.145762 -3.39435 --1.03449 -1.96976 -0.261129 3.2283 -1.80088 -1.87123 3.91007 1.56331 -1.80088 -1.87123 -3.91585 -1.41531 --0.957176 1.88239 -0.317131 -2.96739 -0.919857 1.49826 -2.41011 -0.0364726 -0.919857 1.49826 2.26947 -0.250356 -0.0259822 1.38108 -1.39995 -1.14736 --0.616496 0.950477 -0.189034 1.47014 --1.75745 1.59456 -1.63418 3.35243 --1.75745 1.59456 1.65179 -3.17555 -1.88247 1.27757 2.7121 -2.23407 -1.88247 1.27757 -2.64113 2.05404 -0.41583 1.26327 0.439397 0.435159 -1.73949 -1.22155 2.50094 1.98016 -1.73949 -1.22155 -2.42663 -1.77118 -1.71652 1.49323 3.0327 -1.72862 -1.71652 1.49323 -3.00655 1.5374 -0.793227 1.49745 -2.30374 -0.246852 -0.793227 1.49745 2.11631 -0.0434145 --0.237123 -0.489912 -0.0986241 -0.868647 --0.237123 -0.489912 -0.596613 0.560848 --0.237123 -0.489912 0.695237 0.307799 -1.02477 0.587501 1.05182 -1.13679 -1.02477 0.587501 -0.128507 0.751394 -1.85137 -1.18386 2.49788 2.23107 -1.23341 0.797614 1.44241 -1.33686 -1.11012 1.98348 -3.4783 -0.147486 -1.11012 1.98348 3.3777 -0.0175611 -1.11012 1.98348 0.100607 0.165047 --0.492574 1.40336 0.357984 1.8939 --0.492574 1.40336 -0.705691 -1.63552 --0.704162 0.341002 -0.507515 0.88665 --0.704162 0.341002 0.975281 -0.299613 -0.566539 -1.19883 -1.68733 0.350511 -0.566539 -1.19883 1.39298 0.114673 -0.566539 -1.19883 0.294343 -0.465183 -0.457775 -1.40944 -1.87856 0.666318 -1.42641 1.03441 1.94358 -1.51627 -1.42641 1.03441 -1.84868 1.20671 --0.948864 1.25038 -0.414471 2.10373 --0.948864 1.25038 0.296249 -1.69506 --1.73157 -0.130706 2.42342 0.238747 --1.73157 -0.130706 -2.08998 -0.293347 --1.63681 -1.98113 1.00614 3.91463 -0.0405228 -1.69664 1.42871 -1.51572 -0.669516 -1.03603 -1.53432 0.116428 -0.669516 -1.03603 1.34099 0.420264 --0.995007 -1.63754 -0.144709 -2.76577 --0.995007 -1.63754 0.0163478 2.52352 -1.67481 -0.675525 -0.225724 -0.214182 --1.33659 0.32221 -1.29175 0.758565 -0.181812 1.86246 -2.18389 -1.55726 -0.181812 1.86246 1.90099 1.50444 -0.248385 0.464022 -0.813802 -0.268683 --0.389247 -1.82854 -1.2927 2.23128 --0.389247 -1.82854 1.03467 -2.34673 -1.38319 -0.966046 1.79881 1.48435 -1.38319 -0.966046 -1.68484 -1.14836 --1.95843 1.52728 -2.1184 3.35698 --1.95843 1.52728 2.15816 -3.19983 -1.32719 1.6278 2.93951 -0.836823 -1.32719 1.6278 -2.98501 0.615996 -0.240125 1.62858 -1.93978 -1.18423 -1.33595 0.885674 1.6372 -1.45226 -1.33595 0.885674 -1.49491 1.08172 -1.33595 0.885674 -0.142285 0.370541 --1.88564 -1.68056 -1.84209 -3.63892 --1.88564 -1.68056 1.86029 3.48315 -0.409124 -1.84117 0.257827 -0.120376 -1.63114 0.912591 1.84104 -1.95522 -1.63114 0.912591 -1.69088 1.70757 --1.33476 1.70755 -0.688904 3.21932 --1.33476 1.70755 0.637207 -3.01182 -1.74784 1.93209 3.98949 -1.3865 -1.74784 1.93209 -4.00427 1.24008 -1.3763 -1.13263 2.08096 1.36173 -1.3763 -1.13263 -2.02585 -1.05267 -1.27213 -1.47702 2.60452 0.884195 -1.27213 -1.47702 -2.64379 -0.626319 -1.0797 0.923263 1.53808 -1.03388 -1.0797 0.923263 -1.49795 0.555784 --0.451928 1.09066 0.497827 -0.36487 -0.260771 -1.22476 -1.47506 0.739038 -0.260771 -1.22476 0.649682 -0.641841 -0.260771 -1.22476 0.825375 -0.0971964 --0.486097 1.43156 0.39762 1.92243 -0.204233 1.02939 -1.22993 -0.632662 --0.670176 0.715201 0.764971 -0.533327 -0.590141 -1.97899 -2.88069 1.07926 -0.590141 -1.97899 2.68375 -0.949548 -1.83766 1.78173 3.75016 -1.72961 -1.83766 1.78173 -3.74562 1.57718 -1.50637 1.78709 3.43638 -1.02664 -1.50637 1.78709 -3.46737 0.8467 --1.96873 1.1456 -2.37466 2.52766 --1.96873 1.1456 2.4699 -2.36069 --0.0616521 -1.65558 1.2304 -1.62778 --0.696402 1.45159 0.134841 2.17436 --0.696402 1.45159 -0.385833 -1.88315 --1.39541 -1.09549 1.33452 1.82552 -1.7754 0.792926 -1.50087 2.08487 --1.69902 -1.31859 -1.70822 -2.73876 --1.69902 -1.31859 1.76283 2.52968 --1.53394 0.727217 1.86378 -1.24441 --1.53394 0.727217 -1.64942 1.50708 -0.134272 -1.47094 -1.62241 1.13223 -0.134272 -1.47094 1.15218 -1.07586 --1.89647 0.162271 2.73179 -0.315909 --1.89647 0.162271 -2.45758 0.365022 -1.42996 0.509898 1.06007 -1.75502 -1.42996 0.509898 -0.69834 1.48553 -1.62742 1.4407 2.85281 -1.5922 -1.62742 1.4407 -2.82803 1.38231 --0.977474 -1.69523 -0.0560459 -2.84581 --0.977474 -1.69523 -0.0771887 2.61987 -1.59971 0.659925 1.36633 -2.00431 -1.59971 0.659925 -1.12235 1.76623 --1.52749 -0.286111 2.03909 0.477194 -0.588993 1.92275 -2.78639 -1.01364 -1.73715 0.522941 1.15204 -2.29472 -1.73715 0.522941 -0.894607 2.1295 --0.128579 -1.24627 -1.09511 1.13326 --0.128579 -1.24627 0.55598 -1.29691 --1.15943 -1.69101 -0.379388 -3.02158 --1.15943 -1.69101 0.292417 2.79868 -0.988674 1.95149 -3.28737 -0.344538 -0.988674 1.95149 3.16455 0.175658 --0.974602 -1.11826 0.493593 1.43911 -1.34808 0.804245 -1.32193 1.13888 --0.929261 -1.78742 0.125392 -2.95145 --0.929261 -1.78742 -0.268616 2.75051 -1.53445 -0.794155 1.58017 1.83612 -1.53445 -0.794155 -1.38369 -1.55545 --0.821157 1.94263 0.492439 3.09144 --0.821157 1.94263 -0.649609 -2.93128 -0.723277 0.538106 0.1008 0.760907 -1.20122 0.887441 -0.106052 0.438613 -1.59234 -1.36094 2.66739 1.58782 -1.59234 -1.36094 -2.63317 -1.36281 -0.683142 -1.41689 -2.08551 0.351873 -0.683142 -1.41689 1.84813 -0.0269749 --0.388587 -1.34362 0.416366 -1.7059 --0.388587 -1.34362 -0.823922 1.46324 -0.220983 -0.298112 -0.702962 0.205466 -0.0505922 -0.796002 0.20178 -0.895804 --1.37808 -1.65428 0.0390039 0.213186 -1.78766 -0.0359493 0.224296 2.41036 -1.78766 -0.0359493 0.0832231 -2.39867 --1.33244 -1.55315 -0.821808 -2.92625 --1.33244 -1.55315 0.785658 2.68862 --1.33244 -1.55315 0.0361501 0.23763 -0.254732 1.29835 -1.55139 -0.813692 -0.254732 1.29835 0.873948 0.622478 -0.254732 1.29835 0.677437 0.191214 -1.38202 1.66043 3.05784 -0.908932 -1.38202 1.66043 -3.09669 0.699184 -0.348263 -1.40225 1.30431 -0.54753 -0.787609 -0.471859 0.834509 0.901435 --1.44184 -1.4673 1.09417 2.61508 -0.167188 -1.94361 -2.27921 1.68806 -0.167188 -1.94361 2.01861 -1.645 -0.791023 -0.311397 0.670887 0.944126 -0.255066 -1.3258 0.962728 -0.646874 -0.255066 -1.3258 0.620303 -0.192833 --0.830384 1.32242 -0.0177698 -1.74052 -1.60448 1.10322 2.1825 -1.79603 -1.60448 1.10322 -2.08977 1.54789 --1.46452 1.57056 1.0442 -2.85223 --1.60622 0.879801 -1.74284 1.82103 --1.60622 0.879801 1.90248 -1.57384 --1.60622 0.879801 -0.159641 -0.247192 -0.417174 -0.655637 -1.0211 0.227473 -0.417174 -0.655637 0.839585 0.5076 -1.31745 -0.753703 1.41467 1.48943 -1.57629 -1.77361 3.47978 1.18346 -1.57629 -1.77361 -3.50073 -1.00748 -0.33002 -0.869033 0.900605 0.331094 -0.621266 -1.26933 1.55419 0.0838007 --1.17376 -1.91321 -0.176417 -3.44593 --1.17376 -1.91321 0.0858086 3.26882 -0.0371799 0.0587151 -0.388469 -0.135218 -0.0371799 0.0587151 0.311545 -0.268392 -0.0371799 0.0587151 0.0769237 0.40361 --0.722068 -0.122189 1.03051 0.112141 -1.76848 1.82976 3.78821 -1.5336 -1.76848 1.82976 -3.7936 1.37945 -1.58071 0.692958 1.41891 -1.95888 -1.58071 0.692958 -1.18477 1.70782 --0.237184 -1.87152 1.31969 -2.19077 --1.00336 1.60889 -0.187204 2.72566 --1.00336 1.60889 0.0617232 -2.47499 -0.384613 1.79693 -2.34643 -1.18256 -0.384613 1.79693 2.07209 1.05995 -1.53596 -0.759082 1.51888 1.85384 -1.53596 -0.759082 -1.30735 -1.57612 -1.07619 -1.07024 1.75179 0.920343 -1.07619 -1.07024 -1.76308 -0.502098 --1.96048 -1.7863 -1.92116 -3.93518 --1.96048 -1.7863 1.93449 3.79358 -1.74824 -1.73979 3.57589 1.57636 -1.74824 -1.73979 -3.57531 -1.41218 -1.74824 -1.73979 -0.000583942 -0.164181 --0.160572 -1.98033 1.59894 -2.23466 -0.0877107 -1.86045 -2.05346 1.68429 -0.0877107 -1.86045 1.76505 -1.66064 --1.68045 -0.285768 2.3058 0.512072 -0.279602 -0.660781 0.780532 0.428102 --0.158127 -0.934405 0.205854 -1.11307 -0.262386 -1.30147 0.671739 -0.210355 -1.3673 0.763522 -1.23805 1.19817 --0.0981658 0.619069 -0.728069 -0.561553 --0.0981658 0.619069 0.0428822 0.894059 --0.0981658 0.619069 0.685187 -0.332506 -0.189288 -1.3105 0.870957 -0.810524 --0.287593 -1.87323 -1.51097 2.18363 --0.287593 -1.87323 1.2484 -2.26772 -1.73522 1.50865 3.07996 -1.75424 -1.73522 1.50865 -3.05421 1.56703 --1.12173 1.27078 -0.672825 2.2642 --1.12173 1.27078 0.631975 -1.90982 -0.107575 -1.27924 0.763845 -0.962536 --0.863541 -1.3742 0.00550681 1.87452 -0.024343 1.47548 -1.49799 -1.26103 -0.024343 1.47548 1.04042 1.27571 -0.024343 1.47548 0.457569 -0.0146772 -1.04376 0.689089 -1.07296 0.478745 --1.76309 -1.84592 -1.43415 -3.894 --1.76309 -1.84592 1.42723 3.74051 -0.446791 1.98291 -2.70879 -1.31726 -0.446791 1.98291 2.48857 1.21275 -1.69881 -1.06004 2.15792 2.00262 -1.69881 -1.06004 -2.04893 -1.77674 -0.309481 -1.4567 1.35023 -0.71212 --1.06664 1.46932 -0.422967 2.54989 --1.06664 1.46932 0.326061 -2.25758 -1.76493 -1.4114 2.90371 1.8936 --0.768613 -1.78806 0.394624 -2.76909 --0.768613 -1.78806 -0.577429 2.57972 --1.73944 0.59848 2.31095 -1.1109 --1.73944 0.59848 -2.08199 1.29325 -1.50339 -1.01099 -1.838 -1.38122 --1.90397 0.133725 -2.47511 0.301181 -1.95164 1.68699 3.64515 -2.06515 -1.95164 1.68699 -3.62361 1.91649 -1.95164 1.68699 -0.0215479 0.148659 -0.975846 1.46917 2.28448 -0.3766 -1.94619 -1.71729 3.70739 2.02657 -1.94619 -1.71729 -3.68909 -1.87933 --0.316772 -1.31923 0.467659 -1.59636 --0.316772 -1.31923 -0.909886 1.37431 --1.83779 1.22166 -2.05355 2.62064 --1.83779 1.22166 2.13345 -2.43198 -1.78177 0.397575 0.921653 -2.40105 -1.93616 -0.641518 1.43479 2.65413 -1.93616 -0.641518 -1.24038 -2.51106 -1.688 -1.98876 4.0501 1.19738 -1.688 -1.98876 -4.07399 -1.05256 -1.90779 -0.204567 0.550397 2.66001 -1.90779 -0.204567 -0.286577 -2.60466 -0.46903 0.799047 -1.17075 -0.238965 -0.46903 0.799047 0.963785 -0.457704 -1.76497 -0.323626 0.778827 2.37632 -1.76497 -0.323626 -0.488381 -2.27123 --1.15401 -1.62837 -0.42967 -2.90411 --1.15401 -1.62837 0.34511 2.66575 --1.41781 0.707012 -1.43967 1.44403 --1.41781 0.707012 1.67183 -1.13791 -1.50699 -1.56573 2.99433 1.24457 -1.50699 -1.56573 -3.00294 -1.03373 -1.71714 0.53878 1.17729 -2.25359 -1.71714 0.53878 -0.919215 2.07945 -0.141348 0.360349 0.593059 -0.416385 -0.567693 -1.27854 1.49028 0.00148843 -1.35003 -0.301273 0.715588 1.65775 -1.35003 -0.301273 -0.236297 -1.48511 --1.24107 -1.75243 -0.469143 -3.21428 --1.24107 -1.75243 0.396447 3.00895 -1.88262 1.40544 2.98074 -2.14339 --1.97272 1.03381 -2.43675 2.28648 --1.97272 1.03381 2.55121 -2.12139 -0.925985 -0.965299 0.0471679 -0.508262 --1.652 1.36906 -1.58008 2.81044 --1.652 1.36906 1.62145 -2.59706 -0.912006 -1.44411 -2.31164 0.00685948 -0.912006 -1.44411 2.17139 0.299654 -1.76043 -0.360897 0.849306 2.36451 -1.76043 -0.360897 -0.563615 -2.24763 -0.266448 1.31627 0.946535 0.599542 -0.266448 1.31627 0.636505 0.217875 --0.248239 0.665226 -0.0292443 0.995153 --0.248239 0.665226 -0.65869 -0.657275 --0.848657 -1.28427 -0.238672 -2.07424 --0.848657 -1.28427 0.052087 1.67617 --1.67615 0.100668 2.32596 -0.179536 --1.0571 1.34067 -0.514286 2.32971 --1.0571 1.34067 0.431866 -1.98769 --1.0571 1.34067 0.0824198 -0.342022 -0.975297 -1.96942 -3.30637 0.388942 -0.975297 -1.96942 3.18158 -0.223816 --1.16861 -1.21296 0.783464 1.84103 --1.7951 -0.189668 -2.23126 -0.424031 --1.7951 -0.189668 -0.302955 0.0683724 --0.106127 -0.280282 -0.0729162 -0.675371 --0.106127 -0.280282 -0.529336 0.414053 --0.830862 -1.00782 0.368453 0.902687 --0.551716 -1.35358 0.230031 -1.89392 --1.6967 0.572286 2.24161 -1.04287 --1.6967 0.572286 -1.99848 1.23268 --1.21215 -0.642572 -1.1033 -1.29838 --1.21215 -0.642572 1.3847 0.900277 -0.849366 1.97651 -3.17974 -0.627615 -0.849366 1.97651 3.03154 0.469975 --1.50127 -1.64502 -1.06849 -3.24657 --1.50127 -1.64502 1.05039 3.0451 -0.349335 1.4491 1.39699 0.622805 -0.349335 1.4491 0.429262 0.223883 -0.717587 -0.137717 0.497094 0.893909 --1.3036 1.33968 -0.936255 2.51353 --1.3036 1.33968 0.93079 -2.22459 --0.40986 -0.553656 -0.202025 -0.984978 -1.37664 -1.01752 -1.78939 -1.1111 --0.613995 -0.659734 -0.340719 -1.16254 -1.26382 1.64081 -2.95764 0.47956 -1.26382 1.64081 2.89864 -0.703661 -1.92511 -0.436875 -0.786669 -2.56841 -1.93511 -0.936425 2.03625 2.53957 -1.93511 -0.936425 -1.90135 -2.36907 -0.430258 1.84953 -2.48042 -1.17741 -0.430258 1.84953 2.22872 1.0535 -0.549282 -1.0649 0.267586 -0.556165 --1.69936 -0.531636 2.26349 0.968119 --1.69936 -0.531636 -2.00936 -1.14983 -0.410851 1.74574 -2.302 -1.08348 -0.410851 1.74574 2.01895 0.942129 --1.24008 -1.72716 0.420546 2.95574 --1.76491 -0.85831 -2.0673 -1.83325 --1.76491 -0.85831 2.22627 1.63083 --1.77078 1.23063 -1.90852 2.60141 --1.77078 1.23063 1.98416 -2.40058 -1.61878 -0.478615 -0.744201 -1.90065 -1.61878 -0.478615 -0.302004 -0.185406 -1.33873 0.732728 -1.15581 1.14515 --1.87247 -1.90964 -1.61593 -4.13347 --1.87247 -1.90964 1.61327 3.99358 --1.34005 0.653343 -1.31282 1.3355 --1.34005 0.653343 1.57605 -0.999899 -1.99015 0.797105 1.77196 -2.71268 -1.99015 0.797105 -1.61352 2.56219 --1.05894 -1.82001 -0.0663144 -3.15033 --1.05894 -1.82001 -0.0463811 2.95423 -1.07388 1.6476 -2.8068 0.111583 -1.07388 1.6476 2.70438 -0.347055 --1.6878 0.599365 2.21302 -1.0896 --1.6878 0.599365 -1.97618 1.2864 -1.38705 -1.18137 2.17454 1.34468 --0.619368 -1.91355 0.792512 -2.78764 --0.619368 -1.91355 -0.992225 2.64451 -0.415868 1.52531 1.63809 0.61849 --0.527628 -1.39832 -0.64358 1.65405 --1.5795 -0.348638 -1.77078 -0.770183 --1.64685 -1.13549 -1.70958 -2.34047 --1.64685 -1.13549 1.79968 2.10837 --0.642074 -1.61498 0.39065 -2.3528 --0.642074 -1.61498 -0.63276 2.13203 --0.642074 -1.61498 0.24211 0.220775 -1.43651 -0.709741 1.39356 1.70276 -1.43651 -0.709741 -1.14811 -1.37974 --1.65661 -0.406317 2.23028 0.723024 --1.65661 -0.406317 -1.93056 -0.888429 -1.35265 1.85321 -3.46296 0.466418 -1.35265 1.85321 3.40537 -0.64688 -0.442335 0.726387 0.898768 -0.48636 --0.235779 1.10084 -0.86703 -1.04059 --0.235779 1.10084 0.303903 1.30295 --1.01207 1.5849 0.103 -2.4359 --0.146634 1.79376 -1.63234 -1.88987 --0.146634 1.79376 1.33115 1.94352 --0.482124 -1.45247 0.426428 -1.9447 --0.482124 -1.45247 -0.762252 1.70768 --1.01264 1.39524 -0.39773 2.38175 --1.01264 1.39524 0.288598 -2.05557 -0.587316 1.08972 -1.55916 -0.252673 -0.587316 1.08972 1.30592 -0.276986 -1.95508 1.99943 4.34966 -1.7801 -1.95508 1.99943 -4.35259 1.65233 --0.877325 0.841414 0.763114 -0.835991 --1.45029 0.837146 -1.46355 1.68792 --1.45029 0.837146 1.64158 -1.38813 --0.828655 -1.12705 0.133545 1.2967 --1.18811 -0.668548 -1.06125 -1.33512 --1.18811 -0.668548 1.33118 0.921774 -1.81494 -0.0368379 -0.298805 -0.0115283 --0.337519 1.10494 0.219518 1.40591 --0.337519 1.10494 -0.747911 -1.10134 -0.481628 1.74375 2.11449 0.815136 -0.320274 1.77456 -2.23607 -1.24906 -0.320274 1.77456 1.94274 1.14145 -1.91012 -1.91196 4.10739 1.7651 -1.91012 -1.91196 -4.10761 -1.62829 --0.953822 1.99472 0.321891 3.34441 --0.953822 1.99472 -0.450911 -3.18571 -1.32251 -0.607232 -0.843432 -1.16888 --0.770259 1.30216 -0.111301 2.03295 --0.770259 1.30216 -0.125119 -1.6517 --0.88455 -0.426231 -0.677481 -0.981912 --0.88455 -0.426231 1.10767 0.442324 -1.49692 -0.598818 -0.933635 -1.5748 -1.04062 -1.71489 -2.90088 0.0106774 -1.04062 -1.71489 2.78795 0.209369 --1.64912 1.79045 -1.24192 3.673 --1.64912 1.79045 1.22821 -3.50449 --1.64912 1.79045 0.0137101 -0.168505 --1.35222 1.09572 -0.0750984 -0.321497 -0.518402 -1.53956 1.8137 -0.463006 -0.518402 -1.53956 0.303727 -0.242771 -1.15393 -1.62429 -2.8325 -0.28158 -1.15393 -1.62429 2.75088 0.517946 --1.88464 1.49459 -1.98029 3.23313 --1.88464 1.49459 2.02003 -3.06493 --1.6762 1.90386 -1.19392 3.93752 --1.6762 1.90386 1.17428 -3.78313 --0.14025 -1.72865 -1.56389 1.78645 -0.334674 -1.57809 -1.98025 1.00147 --0.696867 1.96524 0.731953 2.97328 --0.696867 1.96524 -0.910459 -2.82971 --0.175768 0.841772 -0.78685 -0.754511 --0.175768 0.841772 0.124335 1.06863 --1.30672 -0.222692 1.70499 0.326701 --1.30672 -0.222692 -1.19716 -0.590118 --1.78413 1.79339 -1.52646 3.79926 --1.78413 1.79339 1.52581 -3.64283 -1.33496 -1.42892 -2.59487 -0.785163 -1.60383 0.184115 0.519248 -2.08081 -1.60383 0.184115 -0.152667 2.0041 -1.52209 -1.91203 -3.74723 -0.764512 -1.52209 -1.91203 3.70977 0.927369 --1.00104 -0.749653 1.00798 0.875354 -0.942047 -0.0602692 0.292054 -1.08637 --1.03131 -1.15816 -0.606527 -2.02162 --1.03131 -1.15816 0.56572 1.58757 --1.00551 1.18803 0.479801 -1.62132 --1.31635 -0.307712 1.69789 0.455164 --1.31635 -0.307712 -1.25108 -0.738887 --1.31635 -0.307712 -0.446808 0.283723 -1.88879 -1.31539 2.79556 2.2213 -1.88879 -1.31539 -2.73048 -2.04386 --0.434561 -0.515297 0.760099 0.336008 --0.434561 -0.515297 -0.523302 0.627774 --0.933723 0.999524 0.58102 -1.13662 -1.45787 0.584286 1.19073 -1.78174 --1.61915 -0.52695 2.11842 0.926696 --1.61915 -0.52695 -1.84728 -1.1317 --1.93576 1.78449 -1.86732 3.91025 --1.93576 1.78449 1.87919 -3.76639 -1.16122 -1.69475 2.88852 0.453925 --1.81 1.35895 -1.91244 2.89312 --1.81 1.35895 1.96747 -2.70597 --0.339756 -1.9784 -1.55576 2.41993 --0.339756 -1.9784 1.32366 -2.50278 -1.32535 1.78982 -3.3087 0.470282 -1.32535 1.78982 3.25027 -0.662497 -1.03946 0.881843 1.45273 -1.00434 -1.03946 0.881843 -1.4161 0.490646 -1.44719 1.28384 2.40606 -1.37399 -0.408652 0.580466 0.786604 -0.534845 -1.66885 -0.817775 1.68211 2.07022 -1.66885 -0.817775 -1.50245 -1.83818 -1.90707 -1.70139 3.63781 1.95446 -1.90707 -1.70139 -3.62062 -1.80241 --1.42977 1.54901 -1.00938 2.99933 --1.065 -1.4238 0.36702 2.16403 -1.74808 -0.190833 -0.213703 -2.28216 -1.00055 -1.26674 1.98411 0.629295 --0.122832 -1.90174 0.271365 0.0378594 --0.761797 1.26956 -0.127765 1.98014 --0.761797 1.26956 -0.11912 -1.57867 -0.263783 -1.68801 -2.04715 1.22324 -0.263783 -1.68801 1.71249 -1.12053 -0.612248 1.93245 -2.82993 -0.986765 -0.612248 1.93245 2.63034 0.844987 --1.41661 1.2152 -1.22409 2.36258 --1.41661 1.2152 1.27143 -2.07863 --0.985311 0.658489 -0.30057 -0.526815 -1.27845 0.99132 -0.0823497 0.373239 --1.68509 -0.734084 2.14082 1.34283 --1.68509 -0.734084 -1.94264 -1.55744 -0.762822 -1.5657 -2.38768 0.355966 -1.1579 -0.510413 0.991887 1.34094 -1.1579 -0.510413 -0.342917 -0.915773 -1.1579 -0.510413 -0.64897 -0.425169 -1.1251 1.95065 -3.4304 -0.0837843 -1.1251 1.95065 3.33232 -0.0869122 -1.83979 0.332273 -0.268039 0.0965406 --1.76951 1.64699 -0.0125768 -0.170841 --0.377797 -1.37443 -0.863524 1.50121 -1.29356 1.21348 2.15777 -1.15655 -1.29356 1.21348 -2.14227 0.842201 -1.4255 0.983171 1.85379 -1.54659 -1.4255 0.983171 -1.74048 1.22965 --1.51785 -0.804644 -1.59854 -1.64871 --1.51785 -0.804644 1.78629 1.37507 -1.41474 -1.65872 3.08746 0.974275 --1.91944 -0.195763 2.77265 0.384351 --1.91944 -0.195763 -2.50791 -0.440804 -1.41229 -1.46881 2.72074 1.15121 -1.41229 -1.46881 -2.7311 -0.911885 -1.01197 -1.29236 0.0858821 -0.350199 --0.588642 -0.00380327 -0.459143 -0.656906 --0.588642 -0.00380327 -0.459825 0.653713 -1.26627 0.35395 0.78842 -1.52682 --0.704773 -0.874439 -0.335654 -1.437 --0.704773 -0.874439 0.622992 0.620598 --1.8117 1.1426 -2.04146 2.44079 --1.8117 1.1426 2.13572 -2.24508 --1.20754 -0.782141 -1.06452 -1.51904 --1.20754 -0.782141 1.27224 1.10912 -1.37264 -1.40306 -2.56972 -0.878753 --1.72549 1.28917 -1.78061 2.69512 --1.72549 1.28917 1.84259 -2.48892 --1.35016 -0.817643 -1.29159 -1.62148 --1.35016 -0.817643 1.4794 1.28066 --1.69641 -0.764157 2.14598 1.40674 --1.69641 -0.764157 -1.95738 -1.62084 -0.256345 -0.946082 -1.19099 0.523427 -1.28805 1.83217 -3.35902 0.355635 -1.28805 1.83217 3.29202 -0.542728 -1.71868 -1.45388 2.95402 1.76528 -1.71868 -1.45388 -2.92198 -1.57071 -0.846646 -1.52251 -2.39025 0.180313 -0.846646 -1.52251 2.22296 0.100194 --0.332505 -1.7681 -1.31581 2.06814 --0.332505 -1.7681 1.03277 -2.17983 -1.54173 -1.67689 0.0163926 -0.191488 -1.50248 -0.270772 -0.271504 -1.77698 -1.50248 -0.270772 -0.399975 -0.129021 -0.0547887 1.62691 -1.71005 -1.41529 -0.0547887 1.62691 1.33096 1.40229 --1.39959 1.99497 -0.528946 3.84796 --1.39959 1.99497 0.471409 -3.68939 -0.971163 -1.57414 2.45745 0.249677 --1.50046 -0.269735 1.99789 0.443465 --1.50046 -0.269735 -1.59889 -0.616103 --0.799347 1.63597 0.173571 2.55981 --0.799347 1.63597 -0.362507 -2.32468 --1.55937 -0.225504 2.10599 0.381607 --1.55937 -0.225504 -1.71682 -0.513224 --1.25383 1.84517 -0.399893 3.40192 --1.25383 1.84517 0.325318 -3.21465 -1.39952 1.44506 2.6646 -1.14874 -1.39952 1.44506 -2.67358 0.903231 -1.15976 -1.24014 2.08984 0.908892 -1.15976 -1.24014 -2.11653 -0.570034 -1.90433 0.27727 0.696362 -2.65148 --1.85838 -0.602365 -2.33082 -1.32342 -0.402142 1.84397 2.17941 1.09522 --0.578222 1.12008 -0.0194839 1.63481 --0.578222 1.12008 -0.409448 -1.21049 -0.710364 -0.662192 -1.09676 -0.0391935 --0.536358 0.0276372 0.875548 -0.0225995 --0.536358 0.0276372 -0.433269 0.660534 --0.536358 0.0276372 -0.442279 -0.637935 --0.211785 1.72612 1.1403 1.94842 -1.38839 1.92196 -3.63888 0.473584 -1.38839 1.92196 3.58324 -0.642128 -1.45138 1.67397 3.15398 -1.03097 -1.45138 1.67397 -3.18297 0.830066 -0.261345 1.4781 -1.77156 -0.987877 -0.324244 -0.971686 0.328688 -0.717276 -1.21447 -0.520078 1.0213 1.41889 --0.714429 1.54409 -0.433914 -2.07091 --0.487936 -1.64941 0.654861 -2.21796 --0.487936 -1.64941 -0.934541 2.04006 --0.643449 -1.85959 0.684319 -2.7317 --0.643449 -1.85959 -0.886993 2.57427 -0.693476 1.27187 -1.87799 -0.22536 -0.693476 1.27187 1.65207 -0.176451 -1.72968 1.78691 3.65858 -1.49191 -1.72968 1.78691 -3.664 1.33053 --1.24354 1.51802 -0.688641 2.78663 --1.24354 1.51802 0.637278 -2.52965 --1.20873 0.962747 -0.997869 1.81125 --1.20873 0.962747 1.10979 -1.41015 --0.318815 1.46902 -1.0311 -1.59253 --0.318815 1.46902 0.64886 1.7682 -1.80747 -1.45397 3.02506 1.94841 -1.80747 -1.45397 -2.98575 -1.76679 --0.840059 -1.77726 0.264507 -2.83404 --0.840059 -1.77726 -0.430411 2.63566 -1.87222 1.87483 3.98772 -1.71678 -1.87222 1.87483 -3.98803 1.57445 --1.69236 1.64674 -1.45587 3.40998 --1.69236 1.64674 1.46112 -3.23043 -1.4098 1.9779 -3.77656 0.462681 -1.4098 1.9779 3.72148 -0.622654 -0.868486 0.308841 0.680787 -1.02533 --1.85001 -0.929258 -2.21806 -2.01166 --1.85001 -0.929258 2.35666 1.82571 -0.872628 1.7718 -2.84086 -0.367658 -0.872628 1.7718 2.68642 0.163259 -0.612746 -1.37749 1.69267 -0.0788688 --0.2697 -1.6413 -1.27427 1.80197 --0.2697 -1.6413 0.941331 -1.91834 --1.88914 0.600684 2.60278 -1.17823 --1.88914 0.600684 -2.39699 1.32592 --0.684948 -1.30729 0.0106274 -1.96328 --0.684948 -1.30729 -0.297707 1.60222 --1.78364 -1.95775 1.3615 4.01442 --0.828902 1.84609 0.362993 2.93631 --0.828902 1.84609 -0.526283 -2.75522 -0.848283 -1.08768 -1.69373 -0.114617 -0.848283 -1.08768 1.57861 0.583485 --1.67441 -1.28257 -1.68079 -2.65039 --1.67441 -1.28257 1.74045 2.43385 --0.00889543 -0.850997 -0.923557 0.664653 --0.00889543 -0.850997 0.217083 -0.954899 --0.00889543 -0.850997 0.706474 0.290246 -1.51433 1.76293 3.39541 -1.06751 -1.51433 1.76293 -3.42339 0.884978 -1.67665 1.79306 3.61994 -1.37345 -1.67665 1.79306 -3.6312 1.20815 --1.65294 1.76582 -1.27196 3.62493 --1.65294 1.76582 1.26085 -3.45406 --0.48301 -0.323461 -0.335691 -0.829963 --0.48301 -0.323461 0.81838 0.241762 --0.213923 -1.68844 -1.40933 1.8118 --0.213923 -1.68844 1.0823 -1.90093 --0.40233 1.55328 0.650926 1.97951 --0.40233 1.55328 -0.980605 -1.79914 --0.963971 -0.436724 -0.418267 0.505175 --0.294793 0.702647 -0.641182 -0.69762 -1.28444 0.57943 1.13038 -1.50553 -1.28444 0.57943 -0.742736 1.09221 -1.28444 0.57943 -0.387645 0.413322 -0.0837242 -0.819825 -0.968727 0.578002 --1.03283 -0.927885 -0.740679 -1.67509 --1.33298 -1.8217 -0.57552 -3.43691 --1.33298 -1.8217 0.515763 3.2493 -0.356491 1.54282 1.58189 0.750835 --1.53127 -0.0320655 -1.62871 -0.0767813 --1.52505 -0.0719569 -1.61735 -0.172183 --1.63144 -1.07979 -1.70745 -2.22257 --1.63144 -1.07979 1.81072 1.9841 -1.9939 0.217059 0.576369 -2.8357 -1.9939 0.217059 -0.33468 2.78374 --1.64138 -1.49394 -1.47032 -3.0556 --1.64138 -1.49394 1.49009 2.85322 -0.468464 1.90934 -2.61956 -1.19107 -0.468464 1.90934 2.38828 1.07 --1.22118 1.81467 0.290067 -3.11668 --0.191041 -1.9394 -1.74657 2.16789 --0.191041 -1.9394 1.49022 -2.22077 --0.234216 -1.14821 -0.898315 1.09481 --0.234216 -1.14821 0.354318 -1.34036 -1.12143 0.559243 -0.767244 0.491588 -1.12143 0.559243 -0.281229 0.783973 --1.55269 0.550087 1.99004 -0.938943 --1.14143 -1.46355 0.482916 2.31899 -1.48968 1.68135 3.2066 -1.09964 -1.48968 1.68135 -3.23063 0.903565 --1.1755 -1.50544 -0.578402 -2.70617 --1.1755 -1.50544 0.510981 2.43734 --1.45107 0.906312 -1.44069 1.81433 --1.45107 0.906312 1.59259 -1.51463 --1.66036 -1.21782 -1.69113 -2.51194 --1.537 -1.38875 -1.3385 -2.77076 --1.537 -1.38875 1.36342 2.53846 -1.77324 -0.0171369 0.189688 2.37951 -1.77324 -0.0171369 0.122795 -2.37382 --0.0554427 -1.44014 -1.36238 1.3016 --0.0554427 -1.44014 0.899928 -1.36779 --0.0554427 -1.44014 0.462452 0.0661933 -1.36566 0.71296 -0.248851 0.368377 -0.744348 -0.818144 1.17485 0.684254 -0.744348 -0.818144 -1.27959 -0.057811 --0.239145 0.30131 -0.166932 0.734628 --0.239145 0.30131 -0.508622 -0.502098 --0.239145 0.30131 0.675554 -0.23253 --0.95712 -1.53584 -0.181239 -2.55977 --0.95712 -1.53584 0.0419319 2.28433 --1.58558 1.39141 -1.43211 2.80985 --1.58558 1.39141 1.46249 -2.58681 --0.3753 1.53962 0.668671 1.92763 --0.3753 1.53962 -1.01023 -1.75208 -1.22593 1.99279 -3.6188 0.071014 -1.22593 1.99279 3.53689 -0.233947 -1.92742 0.699848 1.55034 -2.6185 -0.27642 1.3748 -1.66139 -0.86283 -0.27642 1.3748 1.12387 0.658386 -0.27642 1.3748 0.537524 0.204445 --1.36518 -1.76066 -0.697285 -3.35005 -1.0008 0.593665 -0.949028 0.357655 --0.843067 -1.99475 0.518813 -3.20906 --0.843067 -1.99475 -0.667819 3.05699 -0.834409 1.29043 -2.00299 -0.0231773 -0.834409 1.29043 1.84538 -0.353468 --1.43825 -1.20913 -1.26776 -2.36449 --1.01995 1.91164 0.105387 3.27192 --1.01995 1.91164 -0.224901 -3.09528 -1.31756 0.835687 -1.38024 1.06019 -1.76929 0.538225 -0.246352 0.160822 -0.311349 1.97598 -2.522 -1.51883 -0.311349 1.97598 2.28224 1.44233 --1.92594 1.10375 -2.30295 2.41582 --1.92594 1.10375 2.40552 -2.24147 -0.102047 -1.30467 0.807484 -0.987158 --0.524336 1.52729 0.456793 2.09242 --0.524336 1.52729 -0.756619 -1.86896 -1.4808 0.326361 -0.364239 1.70655 -1.18221 1.36625 2.32256 -0.831229 -1.18221 1.36625 -2.36716 0.532687 -0.0237686 0.760366 0.71585 -0.32051 -0.060263 -1.42203 -1.4827 1.15865 -0.060263 -1.42203 0.985574 -1.15917 --0.343564 -1.14425 0.251784 -1.44878 --0.343564 -1.14425 -0.760475 1.15445 --1.03416 1.95848 0.13329 3.37332 --1.03416 1.95848 -0.248992 -3.20523 -0.15724 1.6292 1.46592 1.22918 --1.0443 -0.374966 1.30615 0.452816 --1.0443 -0.374966 -0.862078 -0.912723 -0.928664 1.23105 -1.96603 0.1673 -0.928664 1.23105 1.85821 -0.55556 -1.36126 0.634693 -0.934611 1.24595 --1.17451 1.13447 -0.850171 2.07467 --1.17451 1.13447 0.874137 -1.69322 -0.857444 -1.59995 -2.5299 0.229931 -1.87266 -0.98762 2.11008 2.38682 -1.87266 -0.98762 -1.98368 -2.20158 --1.04191 -1.18298 -0.606273 -2.06732 --1.04191 -1.18298 0.560442 1.6499 --1.04191 -1.18298 0.0458307 0.417418 --0.969044 0.177432 1.27383 -0.201309 --0.969044 0.177432 -0.726281 0.713946 --0.969044 0.177432 -0.547551 -0.512636 --0.721502 1.81027 0.497598 2.74898 --0.721502 1.81027 -0.689325 -2.57022 -1.41483 1.54216 2.86236 -1.08797 -1.41483 1.54216 -2.88248 0.861689 -1.71646 1.81151 3.69816 -1.43978 -1.71646 1.81151 -3.70695 1.27967 --1.51157 -1.1946 -1.41409 -2.38055 --1.51157 -1.1946 1.47896 2.11922 -0.435242 -1.46356 1.55957 -0.490185 -1.68585 1.88421 3.82279 -1.30169 -1.68585 1.88421 -3.84019 1.14644 -1.07872 1.36993 0.0754065 0.313648 --1.94589 -0.313279 2.80475 0.621767 --1.94589 -0.313279 -2.56009 -0.7048 -1.67187 1.98901 4.03345 -1.16223 -1.67187 1.98901 -4.05892 1.0165 --0.693438 -1.58619 0.281962 -2.36776 --1.62429 -1.27012 1.64623 2.36692 --1.62429 -1.27012 -0.0581145 0.227791 --0.0529227 -1.20361 -1.14523 1.02226 --0.0529227 -1.20361 0.55544 -1.16692 -0.502532 1.34212 1.47478 0.185456 --1.58454 -0.369636 2.1139 0.635638 -1.91713 0.174542 -0.263534 0.0468035 -1.70298 -1.87633 3.82334 1.34635 -1.70298 -1.87633 -3.83847 -1.19156 -1.1453 -1.95494 -3.45982 0.0489357 -1.1453 -1.95494 3.3652 0.120947 -1.61353 -0.991519 1.97856 1.88016 -1.61353 -0.991519 -1.85347 -1.62826 -1.35673 -1.51217 2.75049 1.00648 -1.35673 -1.51217 -2.77715 -0.767209 -0.743754 -1.49291 -2.25422 0.322212 -0.743754 -1.49291 2.04651 -0.0307867 -1.51768 1.47589 2.82845 -1.34654 -1.51768 1.47589 -2.82312 1.12421 -0.452841 0.897691 -1.2623 -0.302061 -0.452841 0.897691 1.01523 -0.370735 -0.283024 1.78121 1.90237 1.21585 -0.606895 -1.0281 0.2241 -0.558151 -0.720527 0.511138 0.851328 -0.820341 -1.6677 -0.478267 1.05487 2.17477 -1.6677 -0.478267 -0.767599 -2.00326 -1.83185 0.650646 1.42224 -2.44344 -1.83185 0.650646 -1.21435 2.27675 -1.94176 -0.901993 1.96848 2.56914 -1.94176 -0.901993 -1.827 -2.40169 --1.76667 1.88659 -1.40464 3.98534 --1.76667 1.88659 1.39492 -3.8358 --1.87337 -1.07288 -2.20556 -2.32471 --1.87337 -1.07288 2.3141 2.14062 -1.36754 1.69819 3.11629 -0.842141 -1.36754 1.69819 -3.16098 0.637501 -0.921287 -1.66821 -2.70611 0.182105 -0.921287 -1.66821 2.56241 0.0513698 -1.61403 -0.878693 1.7698 1.94043 -1.61403 -0.878693 -1.60818 -1.68747 -1.7756 -0.7204 -1.34122 -2.12057 --1.53487 -1.91119 -0.890625 -3.81581 --1.53487 -1.91119 0.854643 3.65299 -1.50029 -0.459857 0.991233 1.88281 -1.50029 -0.459857 -0.639657 -1.66537 -1.81528 -0.203016 0.548026 2.47671 --0.227841 1.34676 -1.05339 -1.34128 --0.227841 1.34676 0.593872 1.51644 --0.444859 1.04801 0.0653977 1.44615 --0.444859 1.04801 -0.588393 -1.07127 -1.76254 1.4221 2.92383 -1.88038 -1.76254 1.4221 -2.88324 1.68971 --1.27863 1.72709 -0.564157 3.20325 --1.27863 1.72709 0.5004 -2.99524 --1.82139 1.95051 -1.46464 4.1765 --1.82139 1.95051 1.4551 -4.03628 -0.605474 1.1984 -1.71369 -0.298241 -0.605474 1.1984 1.44531 -0.159755 -0.605474 1.1984 0.268378 0.457997 -1.87766 1.9536 4.16849 -1.65121 -1.87766 1.9536 -4.17396 1.51522 --1.58543 1.8043 1.07478 -3.47143 --0.457579 -1.40461 0.403088 -1.85645 --0.457579 -1.40461 -0.763385 1.61029 --0.57164 -1.951 0.919217 -2.78504 --0.57164 -1.951 -1.12199 2.65585 -0.788845 1.75366 -2.72474 -0.49392 -0.788845 1.75366 2.54711 0.289409 --1.55448 -1.66682 1.14307 3.14318 --1.0886 1.40822 -0.511555 2.46642 --1.0886 1.40822 0.429933 -2.15545 -1.49472 0.115413 0.0121253 1.82986 -1.52451 1.8817 3.64947 -0.964845 -1.52451 1.8817 -3.68479 0.798391 --1.80099 -0.178364 2.54681 0.335182 --1.34459 0.0717347 -1.1599 0.241872 --0.123398 1.82147 -1.70087 -1.90248 --0.123398 1.82147 1.4062 1.94641 --0.565176 1.86237 0.81207 2.6353 --0.565176 1.86237 -1.03037 -2.49071 --1.65693 -0.670269 2.12119 1.2074 --1.65693 -0.670269 -1.90105 -1.42333 -1.57673 -0.467606 -0.699317 -1.81886 -0.238506 1.68243 -2.00922 -1.25059 -0.238506 1.68243 1.66806 1.15741 -1.92684 -0.355871 0.856033 2.69096 -1.92684 -0.355871 -0.612645 -2.60025 -0.840508 -0.228485 0.592849 1.00537 -0.840508 -0.228485 -0.773556 -0.0607363 -0.243941 1.52595 -1.81233 -1.06186 -0.253642 -1.72603 -2.08669 1.28312 --1.11124 1.38751 0.495966 -2.13556 -0.0627133 -0.0652193 -0.433169 0.11856 -0.0627133 -0.0652193 0.32006 0.315337 -0.0627133 -0.0652193 0.11311 -0.433897 -0.395628 -1.52395 -1.97209 0.861759 -0.395628 -1.52395 1.60551 -0.652429 -0.395628 -1.52395 0.366587 -0.20933 -0.444544 1.06758 1.11145 -0.18701 --1.23021 0.399734 -1.13087 0.914923 --1.9538 1.8613 -1.84153 4.09824 --1.9538 1.8613 1.84829 -3.961 -0.527334 1.77307 -2.47631 -0.938981 -0.527334 1.77307 2.22953 0.775728 --0.65185 -1.07399 0.418569 0.500784 -0.24872 -0.581624 0.730949 0.44118 --1.66913 -1.45437 -1.55568 -2.99532 --1.66913 -1.45437 1.58438 2.79308 --1.46775 -1.12668 -1.36973 -2.22813 --1.46775 -1.12668 1.44877 1.9476 --1.30885 1.87727 -0.472538 3.52019 --1.30885 1.87727 0.406086 -3.34062 -1.86609 -1.25295 2.64988 2.21656 -1.86609 -1.25295 -2.57535 -2.0328 -1.89103 -0.902122 -1.80153 -2.28747 -0.860411 -1.68793 -2.68305 0.306587 -0.446402 -0.219931 -0.765389 0.0717365 -0.446402 -0.219931 0.23622 -0.729511 -0.862131 0.320955 0.110092 0.917779 -0.862131 0.320955 -0.802915 0.098807 -1.22648 0.583337 -0.699415 0.915488 -0.949377 1.01229 0.0489444 0.47933 -0.883728 1.81219 -2.92333 -0.389112 -0.883728 1.81219 2.77335 0.194243 --1.55584 0.0680361 -1.68922 0.159913 -1.29438 1.1397 2.03249 -1.21565 -1.29438 1.1397 -1.99689 0.884098 -1.18311 -0.268321 -0.061969 -1.25354 -1.51527 1.83665 3.54688 -0.993366 -1.51527 1.83665 -3.58037 0.820595 -1.705 1.24923 -2.46576 1.67845 -1.30677 0.872552 1.5996 -1.41209 -1.30677 0.872552 -1.45618 1.02409 -1.65814 -0.563216 1.2082 2.1385 -1.65814 -0.563216 -0.943058 -1.9415 -0.861523 0.514015 0.904337 -0.967087 -0.861523 0.514015 -0.932758 0.168171 -0.861523 0.514015 0.0284212 0.798916 -1.81339 1.41816 2.95507 -1.98858 -1.81339 1.41816 -2.91012 1.80528 --1.16212 0.898914 -0.141909 -0.432922 -0.923739 -0.71501 1.16623 0.952099 -0.923739 -0.71501 -1.14866 -0.298573 -1.62449 0.665665 -1.14747 1.81728 -1.50997 0.623986 1.274 -1.85813 -1.50997 0.623986 -0.99618 1.58924 --1.14749 1.24405 -0.734306 2.23824 --1.14749 1.24405 0.71036 -1.88185 --1.14749 1.24405 0.0239469 -0.356387 -1.64728 1.63053 3.25374 -1.46673 -1.64728 1.63053 -3.25222 1.28094 -0.660032 1.15892 -1.69529 -0.198036 -1.2722 1.68288 -3.04764 0.459961 -1.2722 1.68288 2.9869 -0.675068 -1.2722 1.68288 0.0607473 0.215106 -1.70736 0.808534 1.68127 -2.14662 --1.29452 -1.40388 -0.872382 -2.62216 --1.29452 -1.40388 0.851482 2.34607 --1.93623 -0.0882811 2.81617 0.174185 --1.93623 -0.0882811 -2.54865 -0.199494 --1.65338 1.3994 -1.56227 2.87262 --1.65338 1.3994 1.59845 -2.6624 --1.62525 0.0119739 2.24014 -0.0208628 --1.62525 0.0119739 -1.84755 0.0274622 -1.62322 -1.78509 3.55041 1.26925 -1.62322 -1.78509 -3.56682 -1.09858 -0.881844 0.253295 0.62268 -1.04656 --0.160558 0.140356 -0.170982 0.577623 --0.160558 0.140356 0.578573 -0.146791 --0.160558 0.140356 -0.407591 -0.430832 --0.547898 0.12031 0.882394 -0.0980894 --1.72303 -0.206963 -2.07229 -0.46229 --0.34676 -1.85861 -1.39771 2.23095 --0.34676 -1.85861 1.1399 -2.33151 --1.51935 -1.95198 -0.817847 -3.88444 --1.51935 -1.95198 0.777639 3.72574 -1.25582 0.120419 0.448303 -1.51013 -1.25582 0.120419 0.101433 1.4423 --1.97537 0.518054 2.80786 -1.04312 --1.97537 0.518054 -2.60005 1.16197 --1.19837 -0.887225 1.16419 1.27085 --1.7925 1.20851 2.04688 -2.37021 -1.20251 1.19031 -2.04659 0.678608 --0.061541 1.99081 -2.01415 -2.07584 --0.061541 1.99081 1.76316 2.09334 -1.63438 -1.70786 3.40098 1.36774 -1.63438 -1.70786 -3.40908 -1.18932 -1.45871 -0.865476 -0.165185 -0.314131 --0.832268 -1.32318 0.196358 0.373408 --0.989404 1.94021 0.193319 3.28827 --0.989404 1.94021 -0.317929 -3.11805 -1.84452 0.0650956 0.274857 -2.52601 -1.84452 0.0650956 0.0142801 2.50649 -0.272991 1.46663 1.31699 0.799105 -1.67802 0.739823 -1.33615 1.89713 -0.397943 1.58528 1.71805 0.738003 -1.14148 -1.82132 -3.19708 -0.0781498 -1.14148 -1.82132 3.10367 0.272606 -1.73399 -1.67889 3.43373 1.60273 -1.73399 -1.67889 -3.42847 -1.43138 -1.80249 -1.83546 3.83365 1.60179 -1.80249 -1.83546 -3.83652 -1.45086 -0.916348 0.704397 1.14942 -0.948664 -0.916348 0.704397 -1.13506 0.286331 --0.932183 1.03013 0.526869 -1.19339 --0.694586 -1.33292 0.0213812 -2.00696 --0.694586 -1.33292 -0.296852 1.65797 --0.694586 -1.33292 0.275471 0.348988 -1.4738 -1.13031 2.14575 1.53666 -1.4738 -1.13031 -2.07417 -1.25537 -1.77488 0.283053 0.701968 -2.39755 -1.77488 0.283053 -0.408699 2.30616 -0.692281 1.24632 1.61637 -0.206803 -0.290224 -1.99799 -2.5272 1.58036 -0.290224 -1.99799 2.29026 -1.51107 --1.26013 -1.20185 0.974726 1.90861 -1.35167 1.35912 2.46392 -1.13687 -1.35167 1.35912 -2.4673 0.86677 -1.88793 -0.830451 -1.63946 -2.31634 --1.15125 0.480803 1.39479 -0.636065 --0.822262 -0.796888 -0.51467 -1.40213 --0.822262 -0.796888 0.773098 0.728075 --0.293763 1.84365 -1.46552 -2.14375 --0.293763 1.84365 1.19629 2.23339 --0.912437 -1.85528 -0.375007 2.86483 --1.21338 1.86474 -0.302913 3.39694 --1.21338 1.86474 0.220398 -3.21187 --0.913037 1.70624 0.0643349 2.79636 --0.913037 1.70624 -0.214995 -2.57502 --1.40736 -1.07007 -1.28854 -2.09246 -1.99543 -1.33486 2.91068 2.43482 -1.99543 -1.33486 -2.84467 -2.27414 -1.99543 -1.33486 -0.0660102 -0.160679 -1.74227 -1.29348 2.64702 1.93559 -1.74227 -1.29348 -2.58639 -1.73182 -0.264045 -1.76605 -2.15489 1.31809 -0.264045 -1.76605 1.84951 -1.22784 -0.385842 -1.23422 -1.59354 0.604235 -0.385842 -1.23422 0.470544 -0.479065 -1.3957 -0.443061 0.944529 1.71322 -1.3957 -0.443061 -0.534028 -1.4636 -1.3957 -0.443061 -0.410501 -0.249613 -0.613225 1.56903 1.99695 0.345895 -0.613225 1.56903 0.256337 0.248055 -1.90573 1.72102 3.67967 -1.93406 -1.90573 1.72102 -3.66445 1.78325 --0.758002 1.40836 -0.232885 -1.85238 --0.0631982 1.91566 -1.91092 -1.96523 --1.49478 -1.97207 -0.746735 -3.90078 --1.49478 -1.97207 0.70248 3.74329 -1.87637 -1.42881 3.02547 2.11261 -1.87637 -1.42881 -2.97806 -1.93912 --1.04203 0.205772 1.35367 -0.248243 --1.04203 0.205772 -0.810567 0.713093 --1.37553 -0.564276 1.68427 0.876492 --1.37553 -0.564276 -1.38426 -1.18431 --1.31516 1.19571 -1.05303 2.26519 --1.31516 1.19571 1.08858 -1.94835 -0.536615 -1.05597 -1.48695 0.2957 -0.536615 -1.05597 1.2152 0.270042 --0.937147 1.28693 0.236512 -1.76099 -1.06816 -1.98102 -3.42872 0.22581 -0.286736 -1.41102 1.2218 -0.690039 --1.02852 0.916698 -0.739611 1.65663 --1.02852 0.916698 0.857873 -1.13662 -0.149369 -1.86415 1.85813 -1.56206 -0.657699 -1.51957 -2.21952 0.479785 -0.516827 1.65957 -2.29211 -0.830812 -0.516827 1.65957 2.01688 0.636136 -1.16505 -1.28971 2.17682 0.873233 -1.16505 -1.28971 -2.21233 -0.550127 --1.92353 -1.72341 -1.89093 -3.76412 --1.92353 -1.72341 1.90752 3.61504 -1.76101 0.926753 1.93293 -2.19544 -1.76101 0.926753 -1.78923 1.98532 --1.59414 -1.17405 -1.58495 -2.38786 --1.59414 -1.17405 1.6624 2.14541 --1.90311 1.54965 -1.98081 3.36607 --1.90311 1.54965 2.01476 -3.20353 -0.671147 1.91864 -2.87565 -0.872216 -0.671147 1.91864 2.68622 0.719642 --0.0299734 -0.945042 -0.970222 0.754247 --0.0299734 -0.945042 0.282709 -1.01004 -1.13241 -0.390102 0.820886 1.33275 -0.967085 1.81044 -3.00477 -0.237608 -0.967085 1.81044 2.87427 0.0398961 --0.844784 -1.68146 0.150088 -2.68188 --0.844784 -1.68146 -0.321538 2.45709 --0.844784 -1.68146 0.17145 0.224783 -1.2463 -1.87121 -3.39677 -0.234642 -1.2463 -1.87121 3.32108 0.416822 --0.854305 -0.943649 0.571037 0.897148 --0.155031 1.03322 -0.912413 -0.918417 --0.155031 1.03322 0.296274 1.17343 --1.44403 -0.62 1.76764 1.00534 --1.44403 -0.62 -1.5019 -1.29105 -1.45279 -0.0854803 0.364816 1.81039 -1.45279 -0.0854803 0.0784636 -1.76782 --1.7705 -0.786855 2.2781 1.49202 --1.7705 -0.786855 -2.10162 -1.68827 -0.453986 1.24385 -1.66072 -0.528799 -0.453986 1.24385 1.26561 0.0784008 -0.453986 1.24385 0.395105 0.450398 -1.22486 -0.653725 1.22124 1.3894 -1.22486 -0.653725 -0.922887 -0.883235 -0.737513 1.22528 -1.83923 -0.12914 -0.737513 1.22528 1.64297 -0.292201 --0.412461 1.93561 0.231149 -0.103423 --1.25546 -1.44239 -0.772256 -2.66079 --1.25546 -1.44239 0.735059 2.38696 --0.828058 0.865594 -0.490031 1.49078 --0.828058 0.865594 0.686494 -0.786411 --0.437805 1.64791 0.723297 2.15232 --0.437805 1.64791 -1.01629 -1.98685 -1.54494 1.76607 3.43279 -1.1267 -1.54494 1.76607 -3.45702 0.947143 -0.277908 1.98209 2.24469 1.50957 -1.53325 1.91251 3.72279 -0.950063 -1.53325 1.91251 -3.75892 0.787923 -1.53325 1.91251 0.0361355 0.16214 --0.179579 -0.722171 0.0466764 -0.996144 --0.179579 -0.722171 -0.727432 0.666389 --0.943022 1.101 -0.511651 1.87771 --0.943022 1.101 0.446679 -1.36219 --1.12528 0.551403 -0.980753 1.15057 --1.12528 0.551403 1.32094 -0.716372 -0.335016 -1.31824 1.10422 -0.403808 --0.871491 0.0930594 1.17877 -0.097179 -1.85133 -0.984267 -1.96474 -2.15562 -0.888445 -0.657138 1.07911 0.939015 -0.888445 -0.657138 -1.07847 -0.239775 --0.97606 1.60962 -0.140675 2.69997 --0.97606 1.60962 0.00681618 -2.44917 --1.85524 0.447979 2.59065 -0.863977 --1.85524 0.447979 -2.34803 0.991709 --1.85524 0.447979 -0.24262 -0.127732 --1.64359 1.8801 -1.1474 3.85618 --1.64359 1.8801 1.12602 -3.697 -1.90166 -1.49153 3.17852 2.11804 -1.90166 -1.49153 -3.13807 -1.95167 -1.33338 -1.87151 -3.48183 -0.409611 -1.33338 -1.87151 3.42034 0.588182 --1.6077 0.696814 2.01573 -1.2308 --1.6077 0.696814 -1.79822 1.46528 -1.48213 -0.645247 -1.02772 -1.51602 -1.60525 0.63479 1.32298 -2.02238 -1.76204 -1.83759 3.79883 1.51203 -1.76204 -1.83759 -3.80542 -1.35807 --1.82241 1.18269 -2.04267 2.53028 --1.82241 1.18269 2.12937 -2.33761 --1.79601 1.06561 -2.04688 2.27298 --1.79601 1.06561 2.1569 -2.07303 --1.86678 -1.56159 -1.89304 -3.36519 --1.86678 -1.56159 1.92319 3.19903 -0.0380115 -1.58381 1.23795 -1.37707 -0.0475674 1.34863 0.846454 1.11569 -0.362707 -1.7965 -2.31939 1.21427 -0.362707 -1.7965 2.04062 -1.09781 --0.487896 0.902955 -0.0858869 1.33481 --0.487896 0.902955 -0.513406 -0.904075 --1.98824 -1.91949 -1.86783 -4.26088 --1.98824 -1.91949 1.87253 4.12997 --1.60943 -0.343462 2.165 0.597078 --1.60943 -0.343462 -1.83247 -0.758178 -1.78004 0.712927 -1.32693 2.13391 --1.58171 -0.102916 2.16074 0.175751 --1.58171 -0.102916 -1.75191 -0.238059 -1.35455 1.19261 -2.1354 0.97558 --0.54867 0.476141 -0.344917 0.970148 --0.54867 0.476141 0.826358 -0.34754 --0.54867 0.476141 -0.481441 -0.622608 -1.765 -0.208205 0.558717 2.37973 -1.765 -0.208205 -0.253662 -2.3107 --1.81787 -1.36463 -1.92537 -2.91016 --1.81787 -1.36463 1.97994 2.72461 -0.162582 1.7128 -1.95557 -1.38885 -0.162582 1.7128 1.61815 1.3308 -0.771769 -1.60541 -2.46062 0.377822 -0.771769 -1.60541 2.26826 -0.128444 --0.930881 -1.3337 0.179811 1.85245 --1.20942 -0.162585 -0.584991 0.333054 -1.16538 -1.07121 1.82275 1.05679 -1.16538 -1.07121 -1.8024 -0.666362 -1.16538 -1.07121 -0.0203461 -0.390429 --1.31778 -0.536066 -0.322395 0.33113 --1.61595 -0.298865 2.18799 0.52047 --1.61595 -0.298865 -1.84414 -0.664416 --1.01744 1.6365 -0.183822 2.78637 --1.01744 1.6365 0.0619839 -2.54412 --1.05033 1.81027 -0.0532154 -2.92543 -0.611765 -1.53064 1.93136 -0.295235 --0.911475 1.84367 0.21935 3.02811 --0.911475 1.84367 -0.364151 -2.84113 --1.96458 -1.3272 -2.26419 -2.9215 --1.96458 -1.3272 2.33084 2.75679 -0.445859 -1.93592 -2.63335 1.25947 -0.445859 -1.93592 2.40359 -1.14768 --1.75566 -1.97418 -1.29765 -4.16552 --1.75566 -1.97418 1.28096 4.02307 --1.49689 -1.15139 1.48573 2.02069 --1.62414 0.384886 2.17888 -0.674521 --1.62414 0.384886 -1.86371 0.843693 -1.61986 1.67359 3.31658 -1.37039 -1.61986 1.67359 -3.32288 1.18655 -0.607609 -1.81554 2.41497 -0.692662 --0.967897 1.78621 -0.191441 -2.78937 --1.21536 -0.725583 -1.09217 -1.43083 --1.21536 -0.725583 1.32963 1.0276 -0.791737 1.24582 -1.90519 -0.0605762 -0.791737 1.24582 1.73341 -0.34262 --1.07685 -1.63376 -0.28877 -2.83991 --1.07685 -1.63376 0.183679 2.59869 -1.84451 1.00484 -0.123189 0.191684 --1.25005 -1.622 0.547831 2.74924 --0.935874 -1.06103 0.486357 1.26436 --1.17313 -1.244 -0.777094 -2.25584 --1.17313 -1.244 0.7616 1.90722 -1.57216 1.03252 -1.92007 1.51716 --0.842258 -1.73717 0.215619 -2.7702 --0.842258 -1.73717 -0.383874 2.56124 --0.842258 -1.73717 0.168256 0.208963 -1.67072 1.7213 0.00540998 0.173408 -1.50405 1.72291 3.30414 -1.0871 -1.50405 1.72291 -3.33006 0.898242 --1.90132 0.737275 2.56655 -1.45987 --1.90132 0.737275 -2.39052 1.62167 -1.65839 0.311645 0.749535 -2.1785 -1.65839 0.311645 -0.422032 2.0598 -0.675046 -1.33652 1.71832 0.067425 -0.662993 0.7144 1.01949 -0.669651 -0.662993 0.7144 -1.1453 -0.0165161 --0.621805 -1.37492 0.160365 -1.99303 --1.48508 1.85052 -0.848323 3.6432 --1.48508 1.85052 0.809781 -3.46937 -1.31331 -1.27733 2.28509 1.13837 -1.31331 -1.27733 -2.28003 -0.843218 -0.844917 1.67615 -2.64803 -0.321921 -0.844917 1.67615 2.48228 0.0921894 --1.04074 1.54457 -0.311647 2.65298 --1.04074 1.54457 0.200238 -2.38362 -0.32039 -1.60102 -1.99524 1.04604 -0.32039 -1.60102 1.6358 -0.899212 -1.5164 1.29916 2.48914 -1.4909 -1.5164 1.29916 -2.45262 1.2433 --1.81969 1.88551 -1.52137 4.03178 --1.81969 1.88551 1.5163 -3.8861 -0.749881 0.541425 0.892539 -0.838194 -1.50222 -0.647701 -1.04415 -1.55917 -0.431018 -1.61925 1.82532 -0.728419 --1.77419 0.856287 -2.08704 1.83227 --1.77419 0.856287 2.246 -1.63225 -0.992573 1.56832 -2.59277 0.0324479 -0.992573 1.56832 2.47196 -0.293383 --0.93299 0.576871 -0.71899 1.16347 --0.93299 0.576871 1.07362 -0.623528 -1.76297 1.85753 3.84286 -1.49439 -1.76297 1.85753 -3.85093 1.3423 -1.66152 0.151875 0.457379 -2.18339 -1.66152 0.151875 -0.110777 2.12481 --1.17315 -1.64309 0.369177 2.71505 -1.50373 1.60435 3.06737 -1.20197 -1.50373 1.60435 -3.08114 0.99631 -0.290561 -1.29553 0.906718 -0.467966 -0.290561 -1.29553 0.675131 -0.302057 -0.0162054 -1.71071 1.41987 -1.5742 -0.0162054 -1.71071 0.341731 0.00149672 --1.65576 -0.74034 -0.199104 0.223816 --0.8103 -0.42671 -0.4377 0.567157 -1.36103 -0.910705 1.69271 1.4796 -1.36103 -0.910705 -1.55827 -1.12529 -0.909571 1.8819 -3.07503 -0.41558 -0.909571 1.8819 2.93388 0.235434 -0.282658 -0.0970387 0.400623 0.551177 -0.282658 -0.0970387 0.255436 -0.614456 -0.282658 -0.0970387 -0.656059 0.0632792 --0.793004 -1.88947 0.475449 -2.96646 --0.793004 -1.88947 -0.6429 2.79791 --0.200394 -1.42005 0.435414 0.141291 --1.37903 -0.989155 -1.27658 -1.93368 --1.37903 -0.989155 1.39397 1.61047 --1.37903 -0.989155 -0.117395 0.323213 --1.94106 0.822748 2.60542 -1.65622 --1.94106 0.822748 -2.45002 1.81736 --1.27369 1.2724 -0.930275 2.37329 --1.27369 1.2724 0.93442 -2.06125 -1.37361 -0.439406 -0.509143 -1.42221 --1.25497 -1.93825 -0.304144 -3.58146 --1.25497 -1.93825 0.226908 3.41009 --1.05827 1.03423 0.763165 -1.37539 --1.08872 -1.37786 0.459767 2.09406 --1.77218 -1.58507 1.69274 3.16786 --1.44371 -0.96895 -1.40197 -1.92571 --1.44371 -0.96895 1.53082 1.62523 -1.19149 1.25507 2.14249 -0.948409 -1.19149 1.25507 -2.16321 0.620877 --0.499536 -1.51606 0.477167 -2.04833 --0.499536 -1.51606 -0.788252 1.82789 -0.0603266 1.46417 1.0594 1.20208 --0.234051 -1.2595 -0.976065 1.23212 --0.234051 -1.2595 0.480165 -1.43888 -1.03164 0.968327 1.56872 -0.93343 -1.03164 0.968327 -1.56659 0.458591 -1.03164 0.968327 -0.00213036 0.474839 -1.45014 -0.287334 -0.274213 -1.67163 --0.200384 0.586585 -0.0341611 0.919355 --1.31667 -1.04235 -1.14163 -1.99742 --1.31667 -1.04235 1.23183 1.65537 -0.363545 1.48877 1.49338 0.657662 -1.98261 0.972861 2.13461 -2.62061 -1.98261 0.972861 -2.00869 2.45777 -1.98261 0.972861 -0.12592 0.162838 -1.73124 1.66795 3.40819 -1.60695 -1.73124 1.66795 -3.40205 1.43425 -0.30329 -1.57713 -1.94432 1.04221 -0.30329 -1.57713 1.56857 -0.896721 -0.30329 -1.57713 0.375748 -0.145489 -1.09748 0.412275 0.844141 -1.28206 --1.0731 -1.84948 -0.0599 -3.21874 --1.0731 -1.84948 -0.049722 3.02885 -1.06489 -1.14213 1.85142 0.843539 -1.06489 -1.14213 -1.88663 -0.449355 -0.541063 1.34823 1.54461 0.139956 --0.137355 0.480715 -0.0348813 0.825799 --0.137355 0.480715 -0.636289 -0.5101 -1.21532 0.971075 1.70083 -1.20651 -1.21532 0.971075 -1.62803 0.801956 -1.12034 1.3698 2.26902 -0.722469 -1.12034 1.3698 -2.33171 0.415017 -1.78808 0.772979 1.6458 -2.31587 -1.78808 0.772979 -1.46306 2.12263 --0.983813 1.08779 0.550918 -1.38662 -0.12845 1.18571 -1.31299 -0.839636 -0.12845 1.18571 0.608908 0.896091 -0.12845 1.18571 0.704086 -0.056455 --1.84769 -0.980175 2.32045 1.92967 -1.59514 1.73231 3.41343 -1.26315 -1.59514 1.73231 -3.42845 1.08384 -1.45015 -1.31514 2.46624 1.3543 -1.45015 -1.31514 -2.443 -1.09546 --0.342885 -0.184887 -0.282422 -0.691087 --0.342885 -0.184887 0.727177 0.145979 --1.17894 -0.798138 -1.01427 -1.53562 --1.17894 -0.798138 1.21388 1.1097 --1.44426 0.995521 -1.39133 1.97449 -0.439543 1.34295 1.36755 0.279333 --0.669641 1.26696 -0.00576978 1.89574 -1.20667 0.819275 1.4613 -1.28466 -1.20667 0.819275 -1.31559 0.824339 --0.343854 0.617636 -0.122444 1.00667 --0.251885 -1.61745 -1.27576 1.74738 --0.251885 -1.61745 0.93107 -1.8624 --0.437004 1.17082 0.182873 1.56607 --0.675472 1.06896 -0.175318 1.64979 --0.675472 1.06896 -0.231263 -1.12615 -1.63896 -0.0852627 0.337502 2.13544 -1.63896 -0.0852627 0.0221111 -2.10145 -1.83774 1.20278 -2.4454 2.00038 --1.48063 1.70945 -0.971063 3.35634 --1.48063 1.70945 0.943251 -3.16217 -0.178194 0.0858105 0.366022 -0.458981 -0.178194 0.0858105 0.208485 0.541695 -1.65219 -1.62384 3.2445 1.48292 -1.65219 -1.62384 -3.24167 -1.29695 -1.90914 -1.63285 3.48987 2.01847 -1.90914 -1.63285 -3.46555 -1.86196 -1.24902 -0.304348 -0.165033 -1.3188 -1.12974 0.549987 1.03843 -1.29001 -1.9634 -0.00762053 0.144404 2.7611 -1.9634 -0.00762053 0.112745 -2.75916 --0.64629 -1.98872 0.847069 -2.94636 --0.64629 -1.98872 -1.03166 2.81314 --1.71023 0.162202 -2.04317 0.363774 --1.03386 0.674683 -0.832555 1.31254 --1.03386 0.674683 1.11594 -0.811483 --0.679953 1.82783 0.585991 2.72647 --0.679953 1.82783 -0.785097 -2.55704 --1.25056 0.94257 -1.07589 1.79663 --1.25056 0.94257 1.20235 -1.41412 --0.0100988 -1.7288 -1.74813 1.62983 --0.0100988 -1.7288 1.41442 -1.6409 -1.65212 -0.586798 1.24972 2.12129 -1.65212 -0.586798 -0.990657 -1.91684 -1.52818 1.73505 3.35281 -1.12371 -1.52818 1.73505 -3.37654 0.938658 --1.7366 -0.322372 2.39991 0.591994 --1.7366 -0.322372 -2.10155 -0.713039 --1.20361 1.7066 -0.444585 3.09289 --1.20361 1.7066 0.366694 -2.87592 -1.89328 0.689298 1.51801 -2.55312 -1.89328 0.689298 -1.32748 2.39477 -1.14313 0.478909 -0.279967 0.962185 -0.186944 1.23665 -1.41977 -0.828941 -0.186944 1.23665 0.704906 0.795695 -0.186944 1.23665 0.714868 0.0332459 --1.09385 -0.726952 -0.905469 -1.40234 --1.09385 -0.726952 1.15085 0.930789 --0.148375 -1.10377 -0.965667 0.987566 --0.148375 -1.10377 0.372719 -1.21425 --1.94122 0.28824 2.80053 -0.570922 --1.94122 0.28824 -2.55158 0.648654 --1.94122 0.28824 -0.248955 -0.0777325 -0.153083 1.06555 -1.22187 -0.7091 --1.91259 -1.9764 -1.6438 -4.32032 --1.91259 -1.9764 1.63953 4.1881 -1.36206 -1.99365 -3.76104 -0.347389 -1.36206 -1.99365 3.69896 0.506958 -0.566079 -1.56264 -2.19795 0.65859 -0.566079 -1.56264 1.92056 -0.415839 -0.474659 -1.77059 -2.41267 1.01689 -0.474659 -1.77059 2.15187 -0.864829 --0.468254 1.83683 0.92768 2.46724 --0.468254 1.83683 -1.16962 -2.33591 -1.23757 -1.68293 -3.01754 -0.391919 -1.23757 -1.68293 2.94994 0.609568 --1.94921 0.0262197 2.84426 -0.0519543 --1.94921 0.0262197 -2.57869 0.0593451 --1.90248 1.87993 1.71155 -3.95458 --0.992117 1.27464 -0.462323 2.17409 --0.992117 1.27464 0.363228 -1.78841 --1.10665 1.18857 0.685181 -1.72949 -1.53537 -0.503321 -0.750882 -1.71266 -0.78358 -0.760523 1.13872 0.763982 -0.78358 -0.760523 -1.2136 -0.115048 --1.93289 -0.474786 2.73602 0.941557 --1.93289 -0.474786 -2.5135 -1.06017 -1.27236 1.08915 1.9314 -1.21636 -1.27236 1.08915 -1.88571 0.865676 -1.26447 0.678611 -0.998051 0.984126 --1.56148 1.62748 -1.20355 3.26243 --1.56148 1.62748 1.1958 -3.06547 --0.799237 -0.176719 -0.511122 0.580497 --0.860176 -1.39747 -0.0218391 1.91843 -1.2872 -1.26035 2.23353 1.10699 -1.2872 -1.26035 -2.23066 -0.802148 -1.3098 1.63972 2.94435 -0.791577 -1.3098 1.63972 -2.99425 0.571351 --1.18868 -1.58174 -0.534475 -2.8529 --1.18868 -1.58174 0.462388 2.6056 -1.30694 -0.947198 1.72095 1.36873 --1.00107 -0.145359 -0.74249 -0.671357 --1.00107 -0.145359 -0.573171 0.5018 -0.452177 1.42845 0.372075 0.286065 --1.7216 -0.271411 -2.06973 -0.602928 --1.78241 -0.762753 2.31464 1.45077 --1.78241 -0.762753 -2.13315 -1.64201 --1.84761 0.0955077 2.64348 -0.182552 --1.84761 0.0955077 -2.34924 0.214567 -1.55886 -1.87805 3.67824 1.04003 -1.55886 -1.87805 -3.70914 -0.875362 -1.55886 -1.87805 0.0308973 -0.164672 --0.732231 0.463619 -0.515773 1.00376 --0.732231 0.463619 0.95455 -0.408223 --1.06443 -1.20824 0.579674 1.72515 --0.88652 1.46398 -0.136705 2.37842 --0.88652 1.46398 -0.0297006 -2.07483 --0.34997 -1.22479 0.327788 -1.53497 --0.34997 -1.22479 -0.798538 1.26587 --0.86846 1.12073 -0.391793 1.85572 --0.86846 1.12073 0.244066 -1.31788 --0.86846 1.12073 0.147727 -0.537836 -0.230259 1.34098 0.978411 0.731857 --0.511138 -0.661574 -0.495557 0.704531 --0.511138 -0.661574 0.737858 0.415649 --1.98875 1.05762 -2.46089 2.3456 --1.98875 1.05762 2.57087 -2.18281 --1.98875 1.05762 -0.109985 -0.162784 -0.824894 -1.64306 -2.57289 0.324619 -0.824894 -1.64306 2.39982 -0.0854359 -1.20219 -0.605227 -0.76798 -0.813668 -0.90566 -1.60563 -2.58281 0.152424 -0.90566 -1.60563 2.43458 0.0996324 -0.710169 -1.7242 -2.59509 0.595105 --1.84214 0.758951 2.43581 -1.47432 --1.84214 0.758951 -2.25884 1.65104 --1.49817 1.64502 -1.06235 3.24393 --1.49817 1.64502 1.04379 -3.04211 --1.52818 1.95061 0.798405 -3.73213 --0.58985 0.602333 -0.339659 1.0976 --0.327551 1.98895 -1.58939 -2.42205 --0.327551 1.98895 1.35805 2.50114 -1.71106 -1.64227 3.3361 1.588 -1.71106 -1.64227 -3.32915 -1.4106 -1.56978 0.00138971 0.197698 -1.99594 -1.56978 0.00138971 0.192728 1.99533 --1.92227 -0.0491468 -2.51763 -0.110977 --1.06171 1.75157 -0.143768 3.03133 --1.06171 1.75157 0.0319261 -2.81972 --1.85614 1.71749 1.7598 -3.5397 -0.0506227 1.57673 1.24134 1.34729 --1.07795 -0.842968 -0.844014 -1.56881 --1.07795 -0.842968 1.01724 1.08123 --0.952746 0.812567 -0.677457 1.47664 --0.952746 0.812567 0.881809 -0.900097 -1.7969 0.298719 0.733129 -2.43908 -1.7969 0.298719 -0.448527 2.34598 --1.00743 1.25296 -0.502567 2.15189 --1.00743 1.25296 0.41662 -1.75861 --1.00743 1.25296 0.0859467 -0.393283 --1.95453 -1.99737 -1.71915 -4.40739 --1.95453 -1.99737 1.71644 4.2793 -1.75623 -1.75947 3.6254 1.57485 -1.75623 -1.75947 -3.62589 -1.41324 --0.0583116 -0.088162 -0.355254 0.311619 --0.0583116 -0.088162 -0.0915065 -0.464709 --0.0583116 -0.088162 0.446761 0.153089 -0.598516 1.74492 -2.5108 -0.796625 -0.598516 1.74492 2.27823 0.612126 -1.22334 0.115678 0.445859 -1.46329 -1.22334 0.115678 0.122731 1.39823 -0.625973 -1.16341 -1.67996 0.247391 --1.99134 1.56395 -0.0371894 -0.151461 -0.887967 -1.61843 2.43526 0.0536824 --0.985796 0.678398 -0.765916 1.30599 --0.985796 0.678398 1.05473 -0.775923 --1.125 1.58924 -0.414982 2.80791 --1.125 1.58924 0.325579 -2.55728 -0.575805 1.40582 -1.97872 -0.500011 -0.575805 1.40582 1.68195 0.174914 --0.857468 0.66862 0.930251 -0.656515 -1.72834 -1.56418 3.18897 1.69293 -1.72834 -1.56418 -3.17112 -1.50998 -1.33579 0.560774 -0.740113 1.2365 -1.64757 1.05899 2.12543 -1.90498 -1.64757 1.05899 -2.01821 1.66567 --1.41689 -1.18891 -1.24042 -2.3144 --1.41689 -1.18891 1.29514 2.02669 --0.923271 -1.40116 -0.251021 -2.31409 -1.3274 -1.6554 2.99235 0.808946 -1.3274 -1.6554 -3.04038 -0.593254 --1.39218 1.17587 -0.0549152 -0.296814 -1.74651 0.208828 0.560176 -2.34452 -1.74651 0.208828 -0.249138 2.27344 -0.217017 1.97811 -2.39794 -1.66295 -0.217017 1.97811 2.14971 1.60938 -0.47217 1.4853 1.65372 0.46067 --1.80135 1.27105 -1.94856 2.70332 --1.80135 1.27105 2.01811 -2.51004 --0.903909 1.18637 -0.395593 1.97493 --0.903909 1.18637 0.261079 -1.51118 -0.795645 -1.34215 -2.05768 0.120576 --1.75605 -1.43127 -1.75122 -3.00877 --1.75605 -1.43127 1.79115 2.81801 --0.194467 -1.61353 -1.35574 1.68062 --0.194467 -1.61353 0.998651 -1.7755 --0.813873 1.82553 0.363998 2.88412 --0.813873 1.82553 -0.532425 -2.69954 -1.92752 0.391767 -0.690045 2.58962 --1.02919 -0.79534 0.998119 0.962727 -1.53067 -0.997698 1.94223 1.72433 -1.53067 -0.997698 -1.82357 -1.44634 -0.180584 1.5559 1.36517 1.09305 -1.98161 -1.0277 2.24896 2.59091 -1.98161 -1.0277 -2.13306 -2.42619 -0.935153 -1.26067 -2.01929 -0.160188 -0.935153 -1.26067 1.90912 0.535163 --0.582661 -0.431255 -0.38652 -0.94137 --0.582661 -0.431255 0.860271 0.330683 -0.514301 -0.410475 -0.872567 0.0866881 -0.922909 1.96672 -3.24395 -0.482965 -0.922909 1.96672 3.10923 0.319368 --1.00048 -1.86565 -0.21288 2.98197 -1.6855 0.578351 1.24311 -2.18493 -1.6855 0.578351 -0.98894 1.99276 --1.21974 0.517611 -1.12478 1.10192 -0.145482 1.30767 0.614194 0.0380803 -1.47261 -0.701392 1.39352 1.76705 -1.47261 -0.701392 -1.14772 -1.46493 -0.349073 1.23132 -1.55933 -0.645127 -1.30786 -1.47332 2.63203 0.952907 -1.30786 -1.47332 -2.66311 -0.699191 --0.287377 0.689469 -0.0445751 1.0327 -1.06474 1.56986 -2.65607 0.161356 -1.06474 1.56986 2.55568 -0.417676 --1.32034 -0.752152 -1.25887 -1.50046 --1.32034 -0.752152 1.47745 1.14811 -1.37877 1.01062 -1.77604 1.11876 --1.58676 -0.650729 2.00189 1.1353 --1.58676 -0.650729 -1.76659 -1.37125 --1.04559 1.47869 0.274491 -2.25597 --1.53611 -1.33211 -0.0359135 0.239666 -0.270756 -1.29155 0.857566 -0.55712 --1.20408 1.93839 0.120736 -3.35429 -1.49596 1.61879 0.0165413 0.204456 -1.00316 -0.785889 1.30032 1.01403 -1.00316 -0.785889 -1.24851 -0.431265 -0.950333 1.74537 -2.87064 -0.203723 -0.950333 1.74537 2.73525 -0.00936547 -0.170996 -1.98771 2.09939 -1.70233 --0.790514 1.43913 -0.195959 -1.93968 --1.16737 0.56622 -1.04236 1.17526 --1.16737 0.56622 1.36939 -0.76196 --1.8434 -0.238238 -2.33708 -0.53253 --0.66946 -1.78159 0.545916 -2.63999 --0.66946 -1.78159 -0.753874 2.46117 -1.89275 0.250189 0.641726 -2.62929 -1.89275 0.250189 -0.377974 2.56067 -1.17211 -1.84002 3.17501 0.309246 --0.9527 0.677729 -0.722197 1.29652 --0.9527 0.677729 1.01777 -0.746931 --0.449878 1.27495 -0.684035 -1.40086 -1.23895 -0.453117 -0.534559 -0.323939 --0.967671 1.03307 -0.589542 1.79423 --0.967671 1.03307 0.593079 -1.25391 --1.73334 -0.612808 2.29297 1.1355 --1.73334 -0.612808 -2.06689 -1.32168 -1.85135 1.68405 3.55063 -1.84853 -1.85135 1.68405 -3.53579 1.68968 -1.85028 1.41388 2.97423 -2.06892 -1.85028 1.41388 -2.92624 1.89079 -1.40842 -0.42094 -0.499512 -1.50564 -0.916277 -0.156702 -0.729978 -0.05598 -0.755526 -1.73846 -2.66513 0.534571 -0.755526 -1.73846 2.477 -0.328427 -1.39499 0.0443519 0.165655 1.68538 --1.17383 0.378118 -1.0401 0.89291 --0.0636099 -1.3819 -1.29441 1.23777 --0.0636099 -1.3819 0.802616 -1.32307 --0.579481 1.22638 0.0716509 1.76253 --0.579481 1.22638 -0.445702 -1.39315 -1.18207 0.164669 0.0761631 1.31814 -1.48925 -0.58234 1.19652 1.83524 -1.89754 -0.024641 0.187455 2.62793 -1.89754 -0.024641 0.0871195 -2.62106 -0.321743 0.339805 0.597838 -0.540805 -0.321743 0.339805 -0.772814 -0.17134 --1.012 -0.401653 1.25688 0.471297 --1.012 -0.401653 -0.824939 -0.949917 --1.27403 1.63409 0.585111 -2.79814 -0.642547 -1.1744 1.46461 0.233884 --1.98421 -1.14388 -2.40928 -2.53179 --1.98421 -1.14388 2.50481 2.36739 -1.11475 -1.16613 1.93144 0.900498 -1.11475 -1.16613 -1.95502 -0.527392 --1.1104 -0.386837 1.38377 0.493909 --1.1104 -0.386837 -0.951195 -0.917618 -0.344855 -1.76523 -2.25242 1.20248 -0.344855 -1.76523 1.96075 -1.08532 -0.221908 -1.43404 1.18226 -0.859867 --1.19727 -1.88269 -0.253536 -3.41374 --1.19727 -1.88269 0.16766 3.23155 --1.5711 0.607184 1.99567 -1.04891 --1.5711 0.607184 -1.7432 1.28412 --0.4666 1.54229 0.552414 2.04423 --0.4666 1.54229 -0.866545 -1.84144 --1.32906 0.888365 -1.23081 1.73652 --1.32906 0.888365 1.3871 -1.38697 -1.05902 -0.755486 1.29026 1.1059 -1.05902 -0.755486 -1.18831 -0.525651 --1.98036 0.581554 2.79543 -1.17502 --1.98036 0.581554 -2.5992 1.30271 --1.80867 1.68305 -1.6728 3.58203 --1.80867 1.68305 1.68483 -3.4185 --0.82018 0.832528 -0.231097 -0.693844 -0.483259 -1.18355 -1.608 0.446119 -0.483259 -1.18355 1.25483 0.051253 -1.59722 -1.8709 3.70338 1.12767 -1.59722 -1.8709 -3.72932 -0.964767 -1.03581 1.67539 -2.82393 0.0167239 -1.03581 1.67539 2.71085 -0.246662 -1.84511 -0.186285 0.514714 2.5349 -0.512463 -0.838765 1.02337 0.459267 --0.336071 -0.97783 0.109083 -1.29147 --0.336071 -0.97783 -0.69473 0.952145 --1.85478 -1.8569 -1.62451 -4.00056 --1.85478 -1.8569 1.62447 3.85527 -1.7521 -0.717423 1.52535 2.26717 -1.74584 -0.473039 -0.792401 -2.17033 -0.441383 0.5789 0.170217 0.738859 -0.956952 -0.245336 0.619917 1.13044 -0.956952 -0.245336 0.114302 -1.02711 -0.956952 -0.245336 -0.734219 -0.103324 --1.79601 0.634948 2.40396 -1.20633 --1.79601 0.634948 -2.19257 1.37971 -1.71936 1.57645 3.20663 -1.66369 -1.64304 1.56062 3.1072 -1.521 -1.64304 1.56062 -3.09772 1.32685 --1.93214 0.742983 -2.45515 1.64257 --1.61925 1.73255 -1.23137 3.52608 --1.61925 1.73255 1.21956 -3.34829 -0.432015 -1.5232 -2.00822 0.811297 -1.4081 -1.87184 -3.55402 -0.562839 -1.4081 -1.87184 3.5037 0.737544 --1.27498 -0.545338 1.53749 0.793332 --1.27498 -0.545338 -1.21344 -1.14738 --0.892139 1.06412 0.380618 -1.20358 --1.97055 1.94397 -1.80529 4.30063 --1.97055 1.94397 1.80714 -4.17006 --1.55436 1.22155 1.54289 -2.2094 -0.534467 -1.56387 -2.16864 0.706424 -0.534467 -1.56387 1.87781 -0.470802 -0.456253 1.62125 1.86479 0.687162 --0.360336 0.711964 -0.0884009 1.08873 -0.0611357 -0.0205881 0.236964 0.323832 -0.0611357 -0.0205881 0.161601 -0.367003 -0.0611357 -0.0205881 -0.398565 0.0431707 -0.213132 -1.35506 0.996378 -0.788498 --0.375715 0.681418 0.69866 -0.367893 --0.925342 -1.65126 -0.0140934 -2.71781 --0.925342 -1.65126 -0.134822 2.48023 --0.599768 0.112675 -0.470924 -0.617746 -0.182835 1.97802 -2.35066 -1.71299 -0.182835 1.97802 2.10001 1.66799 --1.41797 -1.77801 -0.783904 -3.4341 --1.41797 -1.77801 0.740748 3.24499 --0.189674 -0.894087 0.64743 0.306409 --0.353977 -1.30197 0.407892 -1.62049 --0.353977 -1.30197 -0.84445 1.37706 --0.353977 -1.30197 0.436558 0.243425 --1.4281 0.181593 -0.475802 -0.162472 -1.42438 -1.85743 -3.53949 -0.610276 -1.42438 -1.85743 3.49232 0.786113 -1.60736 1.03299 -1.93996 1.59277 --1.01413 1.30611 -0.472522 2.24052 --1.01413 1.30611 0.377826 -1.87503 -0.488436 -1.21657 -1.65322 0.464263 -0.488436 -1.21657 1.29541 0.00402685 --1.85646 1.59507 1.87092 -3.26479 --0.043673 1.43319 -1.36994 -1.28096 -1.03278 1.66622 0.113575 0.232368 -0.201974 -1.10332 -1.29853 0.694627 -0.201974 -1.10332 0.487102 -0.794193 -0.201974 -1.10332 0.811431 0.0995663 --0.731923 0.524494 -0.502827 1.06449 --0.693344 0.337571 -0.468759 -0.588647 --1.8676 0.743136 2.49515 -1.45524 --1.8676 0.743136 -2.31706 1.6248 --0.880794 0.44427 -0.672506 1.0016 --0.880794 0.44427 1.0957 -0.45862 --1.08371 1.68411 -0.251277 2.9347 --1.08371 1.68411 0.14617 -2.70697 -0.911005 1.37057 2.05266 -0.38071 --1.22461 1.33374 -0.801186 2.44566 --1.22461 1.33374 0.777271 -2.13721 -1.86482 1.53004 3.23142 -2.00854 -1.86482 1.53004 -3.19821 1.83995 --1.3687 0.249564 -1.32695 0.612008 -0.518092 -1.38417 1.56182 -0.229742 --0.609945 1.0571 -0.349251 -1.10918 -0.482885 -1.9827 2.53949 -1.14793 -1.57781 -1.97657 3.90549 0.974406 -1.57781 -1.97657 -3.94008 -0.822183 -0.817277 0.512015 0.886791 -0.919354 -1.65253 -0.180262 0.509912 2.16859 -1.65253 -0.180262 -0.162387 -2.09831 --0.733913 0.526232 0.926003 -0.457257 --0.291071 0.584012 -0.0982208 0.957673 --1.045 -1.08436 -0.00339175 0.461688 -1.45236 0.466956 -0.623597 1.56206 -1.15903 -1.33818 -2.29905 -0.50791 --1.7732 0.479817 -2.16912 1.05042 -0.52924 -1.75922 2.20785 -0.753177 -1.82469 0.301602 0.740296 -2.49278 -1.82469 0.301602 -0.464 2.40256 --1.61003 1.1184 -1.64593 2.28757 --1.61003 1.1184 1.73829 -2.04545 -1.89287 -0.800075 -1.57396 -2.34213 -0.558126 -1.12356 -1.5842 0.310806 --1.94079 1.1392 2.41362 -2.32788 -1.15108 0.642992 -0.914777 0.674256 -0.499123 0.501549 0.763045 -0.629611 -0.328974 0.976071 -1.2686 -0.474168 -0.328974 0.976071 0.93841 -0.238538 -0.328974 0.976071 0.330192 0.712706 -0.479293 1.92674 2.43448 1.07525 --0.504954 0.482573 -0.305985 0.961757 -1.69585 -0.603433 1.29246 2.19733 -1.40855 0.170712 -0.0481517 1.6589 --1.9915 -1.93035 -0.00413515 0.129999 -1.58065 0.775432 -1.36553 1.66608 -1.29331 -1.89621 -3.49294 -0.304355 -1.29331 -1.89621 3.42409 0.480721 --1.07816 1.30908 -0.573054 2.29466 --1.07816 1.30908 0.50573 -1.94412 --1.38938 -0.599393 1.68791 0.941004 --1.38938 -0.599393 -1.40588 -1.2476 -0.93697 0.295729 0.0853422 0.98237 --1.76874 1.25493 -1.89021 2.65052 --1.76874 1.25493 1.96113 -2.45047 -0.0753968 1.61278 0.386228 0.0227124 -0.202869 -0.577174 0.715951 0.420505 -0.202869 -0.577174 0.150969 -0.772792 --0.620815 -1.59346 0.397198 -2.29688 --1.00401 -0.224355 1.30464 0.262094 --1.00401 -0.224355 -0.777418 -0.74767 --0.698182 0.805287 -0.36435 1.35442 --0.698182 0.805287 0.697062 -0.594853 --0.698182 0.805287 -0.332712 -0.759567 --1.04294 1.73463 -0.128288 2.98197 -1.56031 0.0299864 0.250536 -1.98496 -1.56031 0.0299864 0.1438 1.97173 --0.0427353 1.27877 0.666969 1.2049 --1.43163 0.634543 -0.26123 -0.292782 -0.882395 -1.92222 -3.11858 0.507926 -0.882395 -1.92222 2.97366 -0.33755 -0.882395 -1.92222 0.144919 -0.170375 --1.81003 1.59468 -1.74586 3.39342 -0.334538 -1.10751 0.429747 -0.646428 -1.88788 -0.166203 0.47368 2.61939 -1.88788 -0.166203 -0.201754 -2.5729 --1.6383 0.168488 2.25169 -0.295676 --1.6383 0.168488 -1.88413 0.380762 --1.28373 1.0075 -1.10208 1.92124 --1.28373 1.0075 1.20245 -1.56105 -0.957576 -1.51571 -2.47099 -0.0145065 -0.957576 -1.51571 2.34204 0.293539 -0.91372 -1.06669 1.61031 0.690251 -0.91372 -1.06669 -1.68982 -0.22683 -0.772886 -1.14875 1.58234 0.424109 --1.35334 0.272579 -1.30634 0.661802 --0.992431 -1.95166 -0.324859 3.1443 --0.602883 -1.86764 0.209864 0.149674 -0.217938 -1.63752 -1.92518 1.22383 -0.217938 -1.63752 1.56088 -1.13299 --1.98533 -0.184713 2.90516 0.37082 --1.98533 -0.184713 -2.6566 -0.41876 --0.892934 -0.580568 -0.669361 -1.16072 --0.892934 -0.580568 1.03028 0.600213 -1.47191 -1.54658 2.92437 1.1938 -1.47191 -1.54658 -2.93578 -0.975604 -0.708045 -0.273808 0.620458 0.869954 -0.708045 -0.273808 0.194619 -0.84934 --1.63438 0.883251 -1.7966 1.83777 --1.63438 0.883251 1.9544 -1.59892 -0.903813 -1.92896 -3.15408 0.476511 -0.903813 -1.92896 3.01386 -0.306418 -1.5638 -1.36604 2.65447 1.52836 -1.5638 -1.36604 -2.62466 -1.2988 --1.9752 0.615518 2.77166 -1.2429 --1.9752 0.615518 -2.5807 1.37618 --1.9752 0.615518 -0.190962 -0.133285 --1.56931 -1.34493 -1.43169 -2.70713 --1.56931 -1.34493 1.46898 2.47567 --0.800824 0.0318882 1.1106 -0.0313625 --0.564492 1.25541 0.116999 1.78405 --0.564492 1.25541 -0.486548 -1.43562 -1.32948 -0.436858 -0.465484 -1.33719 --1.09323 -1.61955 0.230995 2.58663 -0.953937 -1.26949 0.104078 -0.368385 --1.12202 0.48423 1.35414 -0.625668 --1.12202 0.48423 -0.97713 1.0534 --0.0104533 0.486305 0.0431262 0.789235 --0.0104533 0.486305 0.657088 -0.347618 --1.9789 1.52737 -2.16361 3.37179 --1.9789 1.52737 2.2044 -3.21707 --1.12991 -0.22244 1.45999 0.287914 --1.12991 -0.22244 -0.922488 -0.690536 -1.12731 -0.959715 1.62404 1.07906 -1.12731 -0.959715 -1.5779 -0.635042 --1.40769 -0.0380968 -1.31513 -0.108487 -1.28138 1.4489 2.56242 -0.927889 -1.28138 1.4489 -2.59566 0.665107 --1.26183 -0.441798 -1.18794 -0.97802 -1.83401 -1.54067 -3.19911 -1.76264 -1.69653 -1.14178 -0.0890767 -0.22283 --1.35851 -0.257683 -0.464293 0.240786 -1.50732 0.856805 -1.50763 1.4656 -1.50732 0.856805 -0.170393 0.29331 --0.548358 1.39159 -0.603363 -1.65834 --0.913099 1.11143 0.365018 -1.34778 --0.917402 0.263104 -0.49836 -0.525024 --1.57812 0.803427 -1.71341 1.66427 --1.57812 0.803427 1.89845 -1.41133 -0.125799 -1.97845 2.01785 -1.7657 --1.26877 -0.065174 -0.976855 -0.333798 --1.61266 -1.48393 1.43779 2.80618 --1.47751 -1.25852 -1.31087 -2.48113 --1.47751 -1.25852 1.35567 2.21894 --0.180791 -1.78304 -1.56836 1.91498 --0.180791 -1.78304 1.26747 -1.98044 --0.597124 1.33531 0.325054 -0.321008 --0.995394 1.15677 0.492804 -1.54473 -0.330623 1.13418 -1.43471 -0.586723 -0.330623 1.13418 0.456906 0.630538 -1.4753 -0.684446 -0.25434 -0.298279 --1.97674 -0.686608 2.7451 1.39044 --1.97674 -0.686608 -2.56718 -1.53216 --1.97674 -0.686608 -0.17792 0.141719 -0.160167 1.54954 1.32783 1.12214 --1.93308 1.364 -2.17269 2.98225 --1.93308 1.364 2.23289 -2.81422 --1.93308 1.364 -0.0602004 -0.168025 -1.64091 -0.892317 1.80819 1.98354 -1.64091 -0.892317 -1.65159 -1.73928 -0.662451 -0.414622 0.149501 -0.792825 -1.66865 -1.64415 3.30137 1.49824 -1.66865 -1.64415 -3.29902 -1.31635 --1.6253 0.358843 -1.86588 0.789746 --0.320611 -1.5017 0.369701 0.167148 -1.37867 -0.687779 -1.06899 -1.25841 --1.8912 -0.582624 2.61412 1.14289 --1.28922 -1.5864 -0.713004 -2.95075 --1.28922 -1.5864 0.663835 2.71488 --1.84528 -1.75705 -1.69065 -3.77301 --1.84528 -1.75705 1.69837 3.61905 -1.23051 0.119111 -0.564451 0.0670986 -0.0095086 -1.91935 1.75109 -1.87365 --1.91289 1.38575 -2.11501 3.01659 --1.91289 1.38575 2.17121 -2.84655 -0.494482 0.950034 -1.34027 -0.284916 -0.494482 0.950034 1.08815 -0.350603 -0.494482 0.950034 0.252119 0.635519 --1.24469 -0.144353 -1.03167 -0.497436 -0.389397 1.96976 2.38328 1.29595 --1.6005 1.97376 -0.965198 4.0116 --1.6005 1.97376 0.933168 -3.85986 --1.14007 0.103252 1.49244 -0.134607 --1.14007 0.103252 -0.852307 0.539384 --1.14007 0.103252 -0.640133 -0.404777 --1.22643 -0.250798 -1.07575 -0.680729 -1.08414 0.948287 -1.54482 0.557924 -1.20103 -1.1261 1.93798 1.07135 -1.52609 -0.97248 1.89404 1.73067 -1.52609 -0.97248 -1.76711 -1.44937 -1.40076 -0.47225 -0.597592 -1.4515 --1.82852 -1.84441 -1.57792 -3.9496 --1.82852 -1.84441 1.57676 3.80122 -0.135841 -1.53017 -1.6938 1.1991 -0.135841 -1.53017 1.26282 -1.14237 --0.468131 -1.9281 1.05253 -2.60762 --0.468131 -1.9281 -1.27655 2.49224 --0.886745 -0.715578 -0.289088 0.599132 -1.80912 -1.06907 -2.13065 -2.01495 -1.80912 -1.06907 -0.109106 -0.199635 -1.93097 -1.83967 3.96562 1.8811 -1.93097 -1.83967 -3.95894 -1.74075 -1.93449 0.546138 1.24125 -2.67528 -1.93449 0.546138 -1.02884 2.54705 -0.614628 -0.64255 -1.06596 0.0518268 --1.93829 0.535103 2.72662 -1.06492 --1.93829 0.535103 -2.51575 1.19299 -0.227538 0.0184036 0.317738 -0.527053 -0.227538 0.0184036 0.286864 0.542107 -0.227538 0.0184036 -0.604603 -0.015054 --0.229002 1.035 0.591227 -0.280909 -0.0165464 1.44511 -1.45582 -1.23271 -0.0165464 1.44511 0.981377 1.25702 -1.50841 0.772186 1.5302 -1.79997 -1.50841 0.772186 -1.32259 1.50897 --1.94958 0.187621 2.83332 -0.372179 --1.94958 0.187621 -2.57589 0.423751 --1.8753 0.704956 2.52919 -1.38182 --1.8753 0.704956 -2.34362 1.54575 --1.8753 0.704956 -0.185572 -0.163921 -0.133805 1.47795 1.16472 1.08468 --1.85294 0.193809 2.64357 -0.371519 --1.85294 0.193809 -2.35954 0.434265 --1.78889 -1.83741 -1.4977 -3.89883 --1.78889 -1.83741 1.49377 3.74666 -1.58512 -0.266001 0.664826 2.04889 -1.58512 -0.266001 -0.301143 -1.93566 -0.168511 -1.8674 -2.17301 1.58249 --1.99962 1.56281 -2.18425 3.46553 --1.99962 1.56281 2.22198 -3.31495 -1.9909 1.69939 3.70669 -2.14156 -1.9909 1.69939 -3.68394 1.99743 --1.55042 1.54217 -1.25064 3.08285 --1.55042 1.54217 1.2524 -2.87314 -1.82181 -0.733031 1.58041 2.39659 -1.82181 -0.733031 -1.3911 -2.21632 -0.264403 1.89077 -2.33333 -1.47652 -0.264403 1.89077 2.06662 1.40228 -1.43534 1.9023 -3.64353 0.590418 -1.43534 1.9023 3.59538 -0.759387 -1.38671 0.804855 1.53032 -1.57794 -1.38671 0.804855 -1.33875 1.22447 --1.82135 -0.995303 -2.13116 -2.13824 --1.82135 -0.995303 2.25623 1.94422 --0.262395 1.76929 -1.42757 -1.98985 --0.262395 1.76929 1.13343 2.08169 -1.51563 -1.15385 2.21769 1.59674 --0.408145 0.390192 -0.259746 0.857268 -0.56377 1.96313 -2.8224 -1.10356 -0.56377 1.96313 2.61826 0.97503 --1.0918 -1.7437 -0.205362 -3.04844 --1.0918 -1.7437 0.100715 2.83544 -0.601932 0.504961 0.80245 -0.712964 -0.601932 0.504961 -0.949285 -0.0431642 -1.53456 -1.7789 3.44851 1.09249 -1.53456 -1.7789 -3.47514 -0.913721 --1.12558 -1.39391 -0.585299 -2.47253 --1.12558 -1.39391 0.518763 2.16252 --0.393789 -1.45841 0.54468 -1.84839 --0.393789 -1.45841 -0.908107 1.64249 --1.36262 -0.867573 -1.29668 -1.71263 --1.36262 -0.867573 1.46276 1.3772 --0.755032 1.19808 -0.0885489 -1.42213 -0.718883 1.97112 -3.02059 -0.851626 -0.718883 1.97112 2.84678 0.704099 -1.05078 -0.800896 1.34789 1.06959 -1.05078 -0.800896 -1.27195 -0.515272 -1.05078 -0.800896 -0.0759373 -0.554318 --0.084449 1.47231 0.918813 1.44625 -0.946407 -0.673887 1.12714 1.00074 -0.946407 -0.673887 -1.08524 -0.32093 --1.49089 1.17638 -1.38544 2.33414 --1.49089 1.17638 1.45289 -2.06541 -1.96621 1.09576 2.3835 -2.52185 -1.96621 1.09576 -2.27959 2.35332 --0.737447 -1.7398 0.388336 -2.65483 --0.737447 -1.7398 -0.584438 2.45649 --0.205815 -1.40857 -1.13674 1.40508 --0.205815 -1.40857 0.697798 -1.55198 -0.15804 1.18533 0.610986 0.848244 -1.5412 -0.828685 -1.46268 -1.55329 --0.230697 1.66839 -1.36211 -1.80051 --0.230697 1.66839 1.03107 1.89867 -1.80328 0.992326 2.08347 -2.24514 -1.80328 0.992326 -1.95688 2.04423 -0.282478 1.60246 1.58566 0.969645 --1.28261 -0.66632 -1.21366 -1.34813 --1.28261 -0.66632 1.47622 0.983682 --1.06559 -1.675 -0.228603 -2.90067 --1.06559 -1.675 0.119092 2.67007 --0.0040199 1.50909 -1.4997 -1.33356 -1.92463 -1.65612 3.55393 2.0324 -1.92463 -1.65612 -3.53103 -1.87905 --1.77726 -1.75961 -1.54099 -3.72048 --1.77726 -1.75961 1.54278 3.56043 --1.77726 -1.75961 -0.00178963 0.160043 -0.425808 1.60025 1.78452 0.710378 -0.795165 0.0265685 -0.748753 0.00510876 --1.79809 0.499296 -2.21945 1.0946 -0.584907 -1.71527 2.20786 -0.595251 -0.514215 -0.995615 -1.40258 0.287422 -0.514215 -0.995615 1.14162 0.319087 -1.64018 1.00963 2.02763 -1.91985 -1.64018 1.00963 -1.90697 1.67647 -0.624315 -0.403998 -0.883 0.0198103 -1.28078 -0.573378 1.12001 1.50185 -1.28078 -0.573378 -0.723289 -1.08795 -1.28078 -0.573378 -0.396723 -0.413894 -0.101987 -1.59213 1.33076 -1.27828 --0.406179 1.2131 0.2571 1.58087 --0.406179 1.2131 -0.712552 -1.28283 --0.406179 1.2131 0.455452 -0.298047 -0.577315 -0.756374 -1.16811 0.115311 -0.577315 -0.756374 1.00412 0.567974 -1.1991 -1.32049 -2.29181 -0.594801 --1.44262 -1.3602 -1.1774 -2.64988 --1.44262 -1.3602 1.19423 2.39492 -0.55895 0.326144 0.637407 -0.727752 --1.98185 0.943818 2.62479 -1.93404 --1.98185 0.943818 -2.49454 2.09453 --1.46833 -1.65333 -0.996291 -3.23457 --1.46833 -1.65333 0.972338 3.0307 --1.88049 -0.749481 2.51813 1.47451 --1.88049 -0.749481 -2.34266 -1.64189 -1.22722 1.22301 2.11939 -1.03585 -1.22722 1.22301 -2.12292 0.707653 --0.0619191 -0.47154 0.00924693 -0.795545 -1.36082 -0.71816 -0.245358 -0.371942 --1.96406 0.298122 2.84422 -0.595161 --1.96406 0.298122 -2.60183 0.672415 --1.34531 1.58158 0.78456 -2.76004 --1.87796 0.0997409 2.70155 -0.192789 --1.87796 0.0997409 -2.41729 0.224399 --1.04546 -0.883434 0.923886 1.10594 --1.76955 1.15462 -1.94777 2.44374 --1.76955 1.15462 2.03853 -2.23977 --0.550012 -0.474224 -0.481061 0.622048 --0.622055 -1.01362 0.48561 0.507554 --0.488412 1.34995 0.30521 1.82305 --0.488412 1.34995 -0.672872 -1.54524 --0.176547 -1.40102 0.718364 -1.5043 --0.0846147 -1.12163 -1.04594 0.960415 --0.0846147 -1.12163 0.434171 -1.15499 --0.84992 1.27693 -0.246579 2.06461 --0.84992 1.27693 0.0609226 -1.66165 --1.34529 -1.50703 -0.883995 -2.85105 --1.34529 -1.50703 0.856805 2.60583 -1.09454 1.52217 0.0884931 0.267024 --0.38669 0.949762 0.0426092 1.30651 --0.38669 0.949762 -0.630715 -0.938099 -1.61418 0.821768 1.66535 -1.96732 -1.61418 0.821768 -1.48378 1.71639 -1.50497 -0.997247 -0.116754 -0.286712 --0.862554 0.727617 -0.591831 1.33224 --0.862554 0.727617 0.881158 -0.714074 -1.28067 1.76839 -3.22471 0.400403 -1.28067 1.76839 3.1598 -0.598994 -1.02017 -1.95246 -3.32299 0.28647 -1.02017 -1.95246 3.20608 -0.117019 --1.00385 0.798597 -0.753448 1.47681 --1.00385 0.798597 0.961227 -0.940205 --0.972852 -0.443965 1.19302 0.501969 --0.972852 -0.443965 -0.779065 -1.00353 --1.47112 1.56847 -1.07342 3.07086 --1.4723 0.774441 -1.52245 1.57967 --1.4723 0.774441 1.72372 -1.29074 -1.44985 1.88325 -3.61751 0.63903 -1.44985 1.88325 3.57239 -0.809794 -0.484934 -1.71379 -2.33863 0.937353 -0.484934 -1.71379 2.06664 -0.767498 --0.61756 0.520507 -0.392915 1.03026 --1.20601 1.07028 0.998763 -1.60287 -1.41582 -0.255886 0.645754 1.76304 --0.993746 0.855652 0.882464 -1.00433 --1.62562 0.150392 -1.85473 0.341431 --1.82685 1.7974 -1.61574 3.8453 --1.82685 1.7974 1.61837 -3.69293 --1.96226 -0.403364 2.81602 0.806408 --1.96226 -0.403364 -2.58757 -0.906555 -1.13777 -0.564782 1.06154 1.2963 -1.13777 -0.564782 -0.743718 -0.528613 -1.13777 -0.564782 -0.317824 -0.767689 --1.93511 -1.3247 -2.20147 -2.8981 --1.93511 -1.3247 2.26756 2.72894 -1.8097 1.87689 3.93114 -1.57704 -1.8097 1.87689 -3.93661 1.43018 --1.31278 -0.377291 1.66985 0.55809 --1.31278 -0.377291 -1.26328 -0.861589 --1.74345 0.455611 2.37399 -0.84227 --1.74345 0.455611 -2.10886 0.996455 --1.26895 1.31885 0.880741 -2.14977 -0.0165231 -1.86179 1.66702 -1.78016 -1.45068 -1.56269 0.0167946 -0.218364 --1.92401 -1.47679 -2.07834 -3.22196 --1.92401 -1.47679 2.1226 3.05788 --0.39726 -1.99794 -1.48352 2.52506 --0.39726 -1.99794 1.26245 -2.61693 -1.79153 1.091 2.2734 -2.16667 -1.79153 1.091 -2.16938 1.96348 --1.12774 -0.858303 1.07771 1.15568 --0.68681 -0.921487 -0.287561 -1.48138 -0.560242 1.87209 -2.67027 -1.00068 -0.560242 1.87209 2.45024 0.854677 -1.84262 -1.2524 2.63304 2.16842 --0.732526 -1.08497 -0.106806 1.15373 --1.88448 -1.34404 -2.08023 -2.9086 --1.88448 -1.34404 2.14141 2.73247 --0.671355 -0.644417 0.815686 0.498299 --0.853417 -0.643415 -0.339915 0.596142 --1.88028 -0.205125 -2.42008 -0.460277 -1.42551 -0.50006 1.04293 1.74998 -1.42551 -0.50006 -0.674255 -1.48299 --1.64683 1.15437 -1.69951 2.37793 -1.64552 -1.392 2.77073 1.66768 -1.64552 -1.392 -2.73603 -1.45544 --1.56588 1.03732 -1.60028 2.10855 --1.56588 1.03732 1.71251 -1.85046 --0.856198 1.84195 0.311974 2.96132 --0.856198 1.84195 -0.469378 -2.77726 --1.61827 -1.57078 1.37082 2.99701 --1.61827 -1.57078 -0.00638812 0.196925 -0.749608 1.41221 0.20545 0.327068 --0.407859 1.58262 0.680721 2.02522 --0.407859 1.58262 -0.999936 -1.85122 -1.5684 -1.72145 3.36497 1.21901 -1.5684 -1.72145 -3.38227 -1.03587 -0.336853 0.892252 -1.1923 -0.413883 --1.63439 1.48229 -1.4648 3.02679 --1.63439 1.48229 1.48557 -2.82209 --0.896211 0.757928 0.88183 -0.777111 --1.4209 1.99808 -0.568748 3.87686 --1.4209 1.99808 0.51393 -3.71949 -1.69513 1.99354 4.06803 -1.20777 -1.69513 1.99354 -4.09152 1.06381 -0.045892 1.89124 -2.03667 -1.78401 -1.51278 1.18798 2.2787 -1.56742 -1.51278 1.18798 -2.2173 1.30412 --1.94087 0.0730558 2.82618 -0.144365 --1.94087 0.0730558 -2.55938 0.165182 --1.99196 1.24761 -2.37078 2.76309 --1.99196 1.24761 2.44993 -2.60066 --1.99196 1.24761 -0.0791533 -0.162428 --0.906033 1.90649 0.301759 3.13089 --0.906033 1.90649 -0.444387 -2.95768 --1.13849 -1.9032 -0.12133 -3.38871 --1.13849 -1.9032 0.0244051 3.20946 --0.317562 -0.434638 -0.176981 -0.85893 -0.61438 -1.73536 2.28317 -0.571351 --0.6012 1.37529 0.188091 1.97269 --0.6012 1.37529 -0.499309 -1.66913 -0.957619 -0.993536 1.5474 0.811271 -0.957619 -0.993536 -1.58726 -0.325461 -0.541777 -1.39642 -1.93599 0.539832 -0.145877 1.53097 -1.70655 -1.18803 -0.145877 1.53097 1.27645 1.12515 -0.145877 1.53097 0.430094 0.0628818 -1.00834 1.1622 1.83187 -0.740176 -1.00834 1.1622 -1.89353 0.340098 -0.80328 -1.77278 -2.77211 0.488862 -0.80328 -1.77278 2.5997 -0.288485 --0.897234 -1.02776 0.457428 1.12673 -1.2717 1.34006 2.35934 -1.01089 -1.2717 1.34006 -2.37662 0.721622 --0.782562 1.69918 0.269888 2.64168 --0.782562 1.69918 -0.457926 -2.42723 -1.60007 -0.912735 1.82544 1.89769 -1.60007 -0.912735 -1.67534 -1.63977 --0.770316 -1.02803 -0.322657 -1.66463 --0.770316 -1.02803 -0.0371436 0.988698 --0.770316 -1.02803 0.359801 0.675934 -1.19931 1.92881 -3.46409 0.0840402 -1.19931 1.92881 3.37893 -0.257709 -0.96128 0.829685 -1.32091 0.362985 -1.08495 1.17248 1.91571 -0.848246 -1.08495 1.17248 -1.95115 0.469994 -0.282919 0.921371 -1.18595 -0.482426 -1.02684 1.40994 0.0972773 0.307621 -0.139908 -1.57347 0.4055 -0.0572322 --0.305371 -1.19025 0.335188 -1.45368 --0.305371 -1.19025 -0.836615 1.19196 -0.790617 -1.80628 -2.81638 0.545349 -1.79663 -0.174961 0.493942 2.43981 -1.79663 -0.174961 -0.195961 -2.38414 --0.035948 -1.10752 -1.08457 0.908477 --0.035948 -1.10752 0.445033 -1.09057 --0.035948 -1.10752 0.639536 0.182088 --1.24405 0.0247102 1.63819 -0.0347058 --1.24405 0.0247102 -0.867836 0.319257 --0.237566 -0.00805305 0.626615 0.00764875 --1.43035 -0.369987 1.85529 0.587407 --1.43035 -0.369987 -1.47623 -0.827356 --1.0994 1.96008 0.0148024 3.45101 --1.0994 1.96008 -0.118714 -3.28213 --0.0195741 1.47913 -1.44783 -1.31291 --0.0195741 1.47913 0.999328 1.35193 --0.0195741 1.47913 0.448502 -0.0390222 --1.45111 0.745298 -0.213967 -0.295396 -0.597623 -0.954388 -1.39668 0.16809 -0.597623 -0.954388 1.19011 0.429837 -0.409423 1.47636 1.54162 0.555439 --1.88114 1.32313 -2.08604 2.8617 --1.88114 1.32313 2.15035 -2.68416 -0.987722 0.525789 0.96067 -1.11179 -0.987722 0.525789 -0.878951 0.294271 --1.67055 0.0740768 2.3178 -0.131762 --1.88847 -1.82832 -1.72433 -3.96715 --1.88847 -1.82832 1.72914 3.82238 --0.35763 1.69323 -1.1932 -1.9764 --0.35763 1.69323 0.894258 2.10937 -1.58381 0.0551744 0.291161 -2.03129 -1.58381 0.0551744 0.0923769 2.00765 -0.366072 1.67831 -2.15336 -1.07037 -0.366072 1.67831 1.83751 0.926362 -0.366072 1.67831 0.31585 0.14401 -0.0226117 -0.0505459 -0.353631 0.142563 -0.0226117 -0.0505459 0.300298 0.234716 -0.0226117 -0.0505459 0.0533332 -0.377279 -1.57571 0.541173 1.14809 -1.99586 -1.57571 0.541173 -0.853446 1.77697 --1.61302 -0.554829 2.0954 0.974351 --1.61302 -0.554829 -1.83218 -1.18664 --1.59386 1.43618 -1.41695 2.90464 --1.59386 1.43618 1.4405 -2.68825 --1.41894 1.01702 -1.33541 2.00203 -1.30976 -0.577603 -0.759614 -1.1591 -1.56468 -0.379734 0.862957 2.00549 -0.967875 -1.49548 2.31964 0.33382 --1.70649 0.637237 2.2307 -1.16955 --1.70649 0.637237 -2.00744 1.36664 --0.149125 1.61635 1.05983 1.71238 --1.34993 0.3415 1.7383 -0.51649 --0.255946 -1.66905 -1.32491 1.8291 --0.255946 -1.66905 0.998582 -1.93559 -0.991189 -0.898677 1.4435 0.926892 -0.991189 -0.898677 -1.4378 -0.404777 --1.96655 -0.788544 2.6761 1.59787 --1.96655 -0.788544 -2.51615 -1.75143 --1.78686 -0.291881 2.50071 0.546508 --1.78686 -0.291881 -2.21117 -0.64844 -0.743407 -1.87816 -2.8886 0.703779 -0.743407 -1.87816 2.71039 -0.5343 -0.23784 1.18715 -1.41435 -0.730284 -1.23556 0.75407 -1.1759 0.89843 -1.04745 -1.39749 -2.33108 -0.263494 -1.04745 -1.39749 2.24199 0.572642 -1.01186 0.918815 1.48531 -0.941189 -1.01186 0.918815 -1.4759 0.436224 -1.29602 -1.15462 -2.02733 -0.879504 -0.407853 -1.9141 2.3111 -1.18411 -0.805845 0.810817 1.20863 -0.756407 -0.805845 0.810817 -1.28051 0.138053 -0.805845 0.810817 0.0718795 0.618354 -1.54432 0.261877 0.656969 -1.97772 -1.01546 1.58408 -2.64036 0.0600281 -1.01546 1.58408 2.52542 -0.315279 --0.347223 -1.65198 -1.16602 1.9001 --0.347223 -1.65198 0.852776 -2.0389 -0.0686855 -1.57361 -1.66401 1.33136 -0.0686855 -1.57361 1.25793 -1.31282 --1.00454 -0.6409 -0.799759 -1.25983 --1.00454 -0.6409 1.10713 0.747006 --1.00454 -0.6409 -0.307375 0.512821 --0.287038 -1.66155 -1.26953 1.85128 --0.287038 -1.66155 0.946667 -1.96934 --1.63994 0.547432 2.14744 -0.972611 --1.63994 0.547432 -1.88679 1.17492 --1.63994 0.547432 -0.260649 -0.202308 --1.9888 0.0622647 2.92218 -0.125042 --1.9888 0.0622647 -2.66808 0.141435 --1.60871 0.918696 -1.73338 1.89754 --1.60871 0.918696 1.88122 -1.65034 --0.831079 1.5906 0.0754033 2.52189 --0.831079 1.5906 -0.257477 -2.26919 -1.88901 -0.617221 1.37263 2.56613 -1.88901 -0.617221 -1.16628 -2.41728 -1.77327 -1.6029 -3.29154 -1.57929 -1.63619 -0.549102 1.17704 2.10205 -1.63619 -0.549102 -0.901913 -1.90165 --1.72805 -0.87067 -1.98787 -1.8457 --1.72805 -0.87067 2.14555 1.63328 --1.85798 0.96849 -2.21916 2.0974 --1.85798 0.96849 2.34913 -1.91183 -0.996512 -1.5505 -2.56436 -0.0544087 -0.996512 -1.5505 2.44564 0.320452 -1.7927 -1.47775 3.0629 1.89871 -1.7927 -1.47775 -3.02805 -1.7168 -1.28681 1.52347 2.70379 -0.86571 -1.28681 1.52347 -2.74589 0.619753 -1.18033 1.73023 2.97607 -0.450059 --1.15604 -0.857457 -0.957703 -1.6207 --1.15604 -0.857457 1.12333 1.18206 -0.371297 0.967104 -1.28689 -0.425779 -0.371297 0.967104 0.976787 -0.263122 -0.702558 -1.52052 -2.26149 0.411241 -0.702558 -1.52052 2.03764 -0.133319 -1.19827 1.50926 0.060414 0.259689 -1.8822 -0.675058 -1.29093 -2.37665 -0.638908 1.99596 -2.96821 -1.01795 -0.638908 1.99596 2.78242 0.884505 -0.0934181 -1.95355 -2.19009 1.8068 -0.0934181 -1.95355 1.92891 -1.78407 -1.70329 1.51599 3.06826 -1.68245 -1.70329 1.51599 -3.04653 1.49158 -1.70329 1.51599 -0.0217281 0.190871 --1.76406 1.50803 -1.71344 3.17514 --1.76406 1.50803 1.74283 -2.9917 --1.49626 1.57784 1.10419 -2.89782 -1.46324 0.372301 -0.441691 1.64558 -1.32525 0.45682 -0.50106 1.30976 -1.79212 1.63219 3.38718 -1.76751 -1.79212 1.63219 -3.37163 1.59818 -1.64748 1.41949 2.827 -1.64951 -1.64748 1.41949 -2.79664 1.44049 --1.8359 1.03259 -2.14519 2.22255 --1.8359 1.03259 2.26211 -2.03114 --0.208344 1.50459 -1.2239 -1.53978 --0.208344 1.50459 0.826627 1.66277 --0.889776 1.68805 0.0834985 2.7412 --0.889776 1.68805 -0.241497 -2.51573 --1.81024 -0.671078 2.41534 1.2837 --1.81024 -0.671078 -2.21449 -1.4584 --1.79919 -1.68957 -1.64707 -3.58831 --1.79919 -1.68957 1.65764 3.42433 -1.1241 -0.54749 -0.746099 -0.473521 -1.1241 -0.54749 -0.287092 -0.809524 --0.179088 -1.74845 -1.52997 1.86122 --0.179088 -1.74845 1.2179 -1.93029 -1.33939 0.418066 -0.438187 1.37346 --1.9903 -0.356983 2.88439 0.719612 --1.9903 -0.356983 -2.65514 -0.806392 --1.99937 0.646968 2.80896 -1.31775 --1.99937 0.646968 -2.62662 1.45079 --0.0835457 -1.30372 -1.1975 1.16243 --0.0835457 -1.30372 0.670419 -1.28309 --0.0835457 -1.30372 0.52708 0.120666 -1.58065 0.753709 1.52766 -1.93554 -1.58065 0.753709 -1.3179 1.67695 -1.58065 0.753709 -0.20976 0.258597 --1.62868 1.02303 -1.72881 2.10968 --1.62868 1.02303 1.84701 -1.86874 -1.40035 -1.3165 2.42786 1.26163 --1.17689 0.820685 -1.00363 1.57044 -0.850179 -1.29959 0.151689 -0.370624 --1.53836 1.70494 -1.09059 3.39859 --1.53836 1.70494 1.07134 -3.20942 --0.216593 0.754487 0.673914 -0.333027 -0.129343 -0.469843 -0.760265 0.346863 -0.819639 -1.40921 -2.1825 0.132627 -0.819639 -1.40921 2.00804 0.193202 -1.88295 -1.94023 4.14388 1.67641 -1.88295 -1.94023 -4.14805 -1.53978 -0.710875 -1.35287 1.78849 0.098065 -0.492114 1.97112 2.53183 1.115 -1.46979 -0.774614 1.51758 1.73207 -1.46979 -0.774614 -1.30921 -1.42246 -1.17123 -0.0312002 0.339784 1.37669 -1.17123 -0.0312002 0.257084 -1.35969 -1.45843 -0.672407 -1.07546 -1.44839 -1.78493 -1.95278 4.07274 1.44644 -1.78493 -1.95278 -4.08561 -1.30429 --1.83791 -1.918 -1.53157 -4.12014 --1.83791 -1.918 1.52561 3.97844 -0.705128 1.89178 -2.86903 -0.784172 -0.705128 1.89178 2.68371 0.621781 -1.64263 0.857247 1.74379 -2.00354 -1.64263 0.857247 -1.57574 1.76083 --1.12592 0.0718573 1.4768 -0.0926736 --1.12592 0.0718573 -0.809762 0.520112 -0.757076 -0.185824 0.543956 0.926758 --1.30306 1.73939 -0.598528 3.2499 --1.30306 1.73939 0.53858 -3.04591 --1.66398 -0.217088 2.28974 0.385669 --1.66398 -0.217088 -1.94324 -0.486165 --1.14924 -1.8329 0.122762 3.0774 --1.14924 -1.8329 0.0939978 0.19263 -0.765127 -1.66885 -2.55885 0.449165 -0.765127 -1.66885 2.36818 -0.221321 -1.24006 1.66583 -2.98631 0.41164 -1.24006 1.66583 2.92047 -0.632577 -1.37885 -0.611295 -0.890195 -1.30178 --1.09058 1.09017 -0.0178297 -0.434318 --0.894179 -1.15628 -0.403281 -1.92434 --0.894179 -1.15628 0.269241 1.43207 -0.1854 -1.61422 -1.85626 1.23785 -0.1854 -1.61422 1.47628 -1.15988 --0.850873 -0.766344 -0.562824 -1.37609 --0.850873 -0.766344 0.830807 0.735971 -1.57631 -0.482513 1.04488 2.00986 -1.40891 1.00465 -1.77781 1.18453 --0.401184 1.38205 0.388436 -0.233974 -0.331006 1.92264 2.21694 1.3315 --0.932642 -0.926191 0.701055 1.01718 --0.668727 -1.18851 -0.264489 1.36229 -1.54034 -1.53995 2.97407 1.33383 -1.54034 -1.53995 -2.97465 -1.12369 -1.88357 1.99367 4.26433 -1.62402 -1.88357 1.99367 -4.27193 1.4914 --0.497698 0.286984 -0.355907 0.807225 -0.227007 -1.56878 -1.84732 1.13166 -0.227007 -1.56878 1.44916 -1.02494 --1.3327 -1.72728 -0.666472 -3.25505 --0.423551 -1.90329 -1.32309 2.39659 --0.423551 -1.90329 1.08709 -2.5072 --0.960574 1.22342 -0.452488 2.0717 --0.960574 1.22342 0.34791 -1.64928 --0.960574 1.22342 0.104578 -0.422422 -1.6646 -0.678372 -1.19525 -1.89828 --1.79023 1.63768 -1.66985 3.46984 --1.79023 1.63768 1.68526 -3.30052 -1.23065 -0.725232 -1.1075 -0.890918 --0.61782 -1.62605 0.439225 -2.34112 --0.61782 -1.62605 -0.686852 2.12826 --1.51103 -0.000111459 -1.57893 -0.000271524 --1.01071 -1.08339 -0.622949 -1.89444 --1.71244 -0.543529 -0.248386 0.180305 --1.50439 -1.57404 -1.13402 -3.10898 --1.50439 -1.57404 1.12499 2.8975 --1.37463 0.838976 -1.3275 1.66657 --1.37463 0.838976 1.5058 -1.33616 -1.87253 0.0401841 0.221893 -2.57924 -1.87253 0.0401841 0.0595654 2.56765 -0.58078 1.85743 -2.67053 -0.950615 -0.58078 1.85743 2.45253 0.797845 -1.94601 1.84097 3.98268 -1.91353 -1.94601 1.84097 -3.97508 1.77446 -1.70621 -0.937376 -1.78401 -1.85907 -0.436213 1.03788 -1.40374 -0.401386 -0.436213 1.03788 1.08312 -0.218488 -0.436213 1.03788 0.320617 0.619875 --0.866906 1.86348 0.318897 3.01053 --0.866906 1.86348 -0.472445 -2.83056 -0.77809 1.99475 -3.13073 -0.775604 -0.77809 1.99475 2.97044 0.626866 --1.39261 -0.306443 1.81482 0.475026 --1.39261 -0.306443 -1.39142 -0.713737 -0.928885 -1.38289 -2.22064 -0.0675661 -0.928885 -1.38289 2.09188 0.395403 --0.969546 -1.93045 0.217576 -3.24764 --0.969546 -1.93045 -0.346374 3.07625 --1.65581 -1.02156 -1.78297 -2.11905 --1.65581 -1.02156 1.90208 1.88532 --1.40014 -1.34121 -1.1112 -2.58464 --1.40014 -1.34121 1.12485 2.31746 -0.74888 -0.176833 0.243271 -0.896521 -1.34273 0.980708 1.7986 -1.40713 -1.34273 0.980708 -1.69766 1.05735 --0.0979554 0.661305 -0.750431 -0.586645 --0.0979554 0.661305 0.0626285 0.917447 -0.0822317 -0.114181 -0.495901 0.160383 -0.0822317 -0.114181 0.388636 0.34675 -0.0822317 -0.114181 0.107266 -0.507133 --1.11357 1.18863 -0.716366 2.12445 -1.1959 -0.288452 -0.589436 -0.176176 --1.68535 -1.90833 -1.20919 -3.95576 --1.68535 -1.90833 1.19017 3.80246 --1.82579 1.37936 -1.93258 2.94643 --1.82579 1.37936 1.98529 -2.76299 -1.85116 -1.90106 4.02523 1.64449 -1.85116 -1.90106 -4.0291 -1.50264 --1.67842 1.35567 -1.6424 2.80088 --1.67842 1.35567 1.68857 -2.59104 -1.12937 1.1387 1.90045 -0.946591 -1.12937 1.1387 -1.91195 0.568042 --1.96594 0.0605838 2.8765 -0.12074 --1.96594 0.0605838 -2.61626 0.137308 --1.69042 -1.67171 1.43349 3.28334 --1.21479 1.4344 -0.706541 2.61405 --1.21479 1.4344 0.66011 -2.33135 --1.47989 -0.0494086 1.99459 0.0800896 --1.47989 -0.0494086 -1.50544 -0.123569 -0.360051 1.2347 1.0649 0.145075 -1.63939 1.17501 2.34215 -1.81541 -1.63939 1.17501 -2.26462 1.58151 -0.292841 -1.47846 -1.80549 0.948829 -0.292841 -1.47846 1.36856 -0.776763 --0.0750271 1.86358 -1.82556 -1.90359 --0.0750271 1.86358 1.54042 1.93004 -1.57447 0.949522 1.87935 -1.83129 -1.57447 0.949522 -1.74218 1.56544 -1.99206 1.83748 4.01775 -2.02043 -1.99206 1.83748 -4.00689 1.88477 -1.28638 -0.499178 -0.548395 -1.18336 -0.339977 1.69616 -2.14841 -1.1277 -0.339977 1.69616 1.8325 0.99741 -1.33644 0.605877 1.18818 -1.57766 --0.613154 -1.64831 -0.717041 2.16319 -1.18836 1.57885 -2.77483 0.385007 -1.18836 1.57885 2.70493 -0.6292 -1.46253 -0.629544 1.26818 1.77553 -1.46253 -0.629544 -0.981818 -1.48121 -1.46253 -0.629544 -0.286367 -0.294329 -1.76054 0.988734 2.05375 -2.16274 -1.76054 0.988734 -1.92592 1.95149 --1.43889 -1.19153 1.33648 2.05109 -0.505402 -1.21181 0.342646 -0.468408 --0.186641 0.475769 -0.0692404 0.840082 --0.186641 0.475769 -0.61197 -0.532341 --0.470503 1.2579 0.231004 1.69528 --0.470503 1.2579 -0.641765 -1.38687 --0.243213 1.10216 0.56011 -0.264963 -0.897395 1.14735 0.105242 0.430516 -1.4134 -0.660827 -1.02494 -1.35269 -0.617922 -1.60869 -2.31851 0.625437 -0.617922 -1.60869 2.07004 -0.392473 --1.98505 0.741629 2.73744 -1.50876 --1.98505 0.741629 -2.57044 1.65469 --0.484527 0.583133 -0.252101 1.03954 --1.9081 -0.216332 -2.4817 -0.486344 -1.77317 0.234252 0.608522 -2.39546 -1.77317 0.234252 -0.308792 2.31899 --1.19171 -0.762842 1.26365 1.06599 -0.0660158 1.19582 0.607119 0.995379 -0.68195 -1.61987 -2.39863 0.536376 -0.68195 -1.61987 2.17543 -0.299261 -0.801411 0.61395 0.989908 -0.861388 -0.801411 0.61395 -1.04441 0.132658 -0.801411 0.61395 0.0545017 0.728729 --1.22837 -1.59267 0.532595 2.66744 --0.321472 -1.44223 -1.00339 1.5553 --0.321472 -1.44223 0.611814 -1.73983 -1.79127 0.869214 1.83484 -2.28169 -1.79127 0.869214 -1.67748 2.08187 --1.09681 0.0469709 1.44112 -0.0592325 --0.937567 -0.292376 1.21222 0.321588 --0.937567 -0.292376 -0.725641 -0.835423 -0.630718 -0.521513 0.827709 0.732235 -1.81471 -1.97452 4.15122 1.48987 -1.81471 -1.97452 -4.16298 -1.35145 --0.566842 -1.06474 -0.0510366 -1.56234 --0.566842 -1.06474 -0.418683 1.11922 -0.425972 1.79949 -2.39955 -1.12401 --1.18178 -1.8376 0.184419 3.12193 --0.0898844 0.579474 -0.711768 -0.534913 --0.887878 1.61512 0.00997306 2.61988 --0.887878 1.61512 -0.171747 -2.37226 --0.132357 -0.0884235 -0.176366 -0.514425 --0.41021 1.72798 0.867092 2.22902 --0.41021 1.72798 -1.14562 -2.08923 -1.6071 0.797305 -1.42667 1.71311 --1.52764 0.910996 -1.58102 1.852 --1.73286 -1.42687 -1.70605 -2.98362 --1.73286 -1.42687 1.74482 2.78891 --1.73286 -1.42687 -0.0387692 0.194709 --0.899753 1.14685 -0.417982 1.91472 --0.899753 1.14685 0.292345 -1.41582 --1.85413 1.51763 -0.0348061 -0.170705 -1.59704 -1.99529 3.9662 0.994884 -1.59704 -1.99529 -3.99969 -0.845712 -1.59704 -1.99529 0.0334896 -0.149172 -1.6665 0.916716 1.86663 -2.01934 -1.6665 0.916716 -1.71809 1.78275 --1.86973 1.80775 -1.70081 3.90529 --1.86973 1.80775 1.70594 -3.75742 -0.54062 -0.216931 0.543323 0.733707 -0.54062 -0.216931 0.243399 -0.772594 --1.31109 0.164535 1.72206 -0.241826 --1.31109 0.164535 -1.16828 0.477899 -1.38275 0.875445 1.64587 -1.53537 -0.553271 -0.0883916 0.316164 -0.776456 --0.944549 0.817361 -0.202015 -0.583825 -0.308054 -0.370843 0.617466 0.525598 -0.308054 -0.370843 -0.784 0.191927 -1.04028 0.807948 -1.28492 0.496649 -0.884454 -1.70628 -2.73791 0.282521 -0.884454 -1.70628 2.58443 -0.0602656 -0.884454 -1.70628 0.15348 -0.222256 --0.896105 1.9986 0.429954 3.28133 --0.896105 1.9986 -0.569133 -3.12639 -1.60713 -1.7031 3.36502 1.31614 -1.60713 -1.7031 -3.37582 -1.13449 --1.68636 0.717095 2.15237 -1.31112 --1.68636 0.717095 -1.94942 1.52365 --1.22828 0.0773048 -0.931484 0.412266 -0.836958 -1.18115 -1.83258 -0.0486065 -0.836958 -1.18115 1.69295 0.475415 -1.43658 -1.99786 -3.84542 -0.498819 -1.43658 -1.99786 3.79303 0.655138 -0.49819 -1.55892 -2.12523 0.754135 --1.35847 0.173864 -1.27011 0.465369 -1.54897 1.47722 2.85839 -1.40641 -1.54897 1.47722 -2.84893 1.18897 -1.99237 0.157324 0.452694 -2.83219 -1.99237 0.157324 -0.206917 2.79414 --1.71167 -1.43599 -1.65593 -2.98774 --1.71167 -1.43599 1.69148 2.79047 -0.93265 0.247737 0.125167 1.0057 -0.0132872 -1.30042 0.740793 -1.13577 -0.637478 -0.0384426 -0.761924 0.00139002 --0.708268 1.00769 -0.258396 1.59796 --0.708268 1.00769 -0.189824 -0.996633 --0.708268 1.00769 0.44822 -0.60133 --0.560133 -1.72663 0.646218 -2.42068 --0.560133 -1.72663 -0.890394 2.24676 --1.91032 -0.365318 -2.4768 -0.817012 --1.54426 -0.344885 2.05185 0.581097 --1.54426 -0.344885 -1.69841 -0.764819 --0.89826 1.03539 -0.489363 1.75587 --0.89826 1.03539 0.445307 -1.14565 --0.855127 -1.17315 0.160561 1.43441 --1.63856 -1.57575 -1.40185 -3.22011 --1.63856 -1.57575 1.40992 3.0264 -1.40545 0.208292 0.569477 -1.74559 -1.40545 0.208292 -0.110436 1.63537 -0.422133 -1.07071 0.346713 -0.608524 -1.22698 1.87132 -3.37805 0.196207 -1.22698 1.87132 3.29905 -0.379008 --0.892776 -1.39897 -0.205856 -2.28368 --0.892776 -1.39897 0.0423756 1.9507 -1.39075 -1.77756 -3.34345 -0.614577 -1.39075 -1.77756 3.29642 0.804504 --0.146207 1.07788 0.60355 -0.235635 --1.06931 1.63992 -0.269693 2.84328 --1.06931 1.63992 0.162303 -2.60344 -1.83386 -0.0764887 0.298556 2.50603 -1.83386 -0.0764887 -0.00655385 -2.48276 --1.37775 -0.00892461 -1.21901 -0.0287848 --1.37775 -0.00892461 -0.615672 0.0151318 --1.95406 -1.18502 -2.32228 -2.60571 --1.95406 -1.18502 2.4109 2.43649 -0.627945 -1.76219 2.34859 -0.584085 -1.02043 1.35645 -2.23938 0.244219 -1.02043 1.35645 2.14675 -0.570557 -1.25508 0.411075 -0.341127 1.2264 -1.34983 -1.4271 2.58629 1.07291 --1.25663 -1.68217 -0.565694 -3.09845 --1.25663 -1.68217 0.500728 2.87983 --0.853046 0.648726 -0.337304 -0.597925 -1.34506 -0.765952 -1.23466 -1.1467 --0.0975629 -0.52549 -0.678935 0.510689 --0.0975629 -0.52549 0.00573687 -0.839623 --0.0975629 -0.52549 0.673198 0.328935 -1.92915 1.99922 4.32306 -1.72133 -1.92915 1.99922 -4.32774 1.59194 -1.40002 0.0977781 -0.469902 0.0511193 -0.235729 1.38749 -1.63532 -0.923762 -0.235729 1.38749 1.09814 0.771791 -0.235729 1.38749 0.537188 0.151971 --0.957932 1.89932 0.202125 3.17881 --0.908212 -0.805762 -0.219338 0.610197 --1.64206 -1.5427 -1.4348 -3.15534 --1.64206 -1.5427 1.44767 2.95841 --1.31189 -1.50209 -0.826266 -2.81463 --1.31189 -1.50209 0.79281 2.56347 --1.60506 -0.0384939 -1.80165 -0.0887885 --1.88089 1.58417 -1.90674 3.42474 --1.88089 1.58417 1.93516 -3.26178 --0.200682 1.70849 -1.45165 -1.82669 --1.6798 0.0110001 -1.97184 0.0249279 -0.74317 -1.96669 2.87156 -0.653503 -0.0219029 -1.75083 -1.81949 1.62004 -0.0219029 -1.75083 1.49308 -1.61835 --0.00357494 1.77584 -1.81599 -1.68674 --0.00357494 1.77584 1.4993 1.69367 --0.947873 -0.408238 1.18174 0.451248 --0.947873 -0.408238 -0.748751 -0.96174 -1.66824 1.15765 2.32781 -1.88267 -1.66824 1.15765 -2.24413 1.65423 -1.66824 1.15765 -0.0836784 0.228434 -1.55085 1.51355 -2.92696 1.16591 -1.87797 1.82333 3.87933 -1.77883 -1.87797 1.82333 -3.87516 1.63305 -1.56175 -1.52306 2.95987 1.39128 -1.56175 -1.52306 -2.95529 -1.18177 -1.80854 1.53675 3.19946 -1.88375 -1.80854 1.53675 -3.17122 1.70856 -0.444371 -0.8343 0.968872 0.416342 -0.241548 -1.74208 1.77662 -1.23387 --1.67633 0.953389 -1.85285 1.99241 --1.67633 0.953389 1.99012 -1.76395 --0.0932762 1.42483 -1.2994 -1.32017 --0.0932762 1.42483 0.837969 1.4097 -1.85768 1.56665 3.30371 -1.9632 -1.85768 1.56665 -3.27547 1.79631 --0.578777 -0.881272 0.609233 0.49658 --1.98944 -0.828282 2.70403 1.69295 --1.98944 -0.828282 -2.55322 -1.84537 -1.39085 1.05229 -1.86831 1.12381 --1.98636 -0.600761 2.80046 1.21686 --1.98636 -0.600761 -2.6084 -1.34619 --1.88572 -1.31091 -2.10331 -2.83832 --1.88572 -1.31091 2.16974 2.66101 --1.84556 1.86294 -1.59874 4.00562 --1.84556 1.86294 1.59749 -3.86008 --1.35948 -0.0427384 -1.17615 -0.145271 --1.8481 -1.2815 2.11055 2.56838 --1.47019 1.756 -0.907927 3.43941 --1.47019 1.756 0.874404 -3.25114 -0.378325 -1.42986 1.40782 -0.537102 -0.868092 0.0509027 0.414303 -1.03295 -1.56597 -1.47906 2.87673 1.43818 -1.56597 -1.47906 -2.86529 -1.22352 --0.539341 1.27026 -0.537542 -1.44674 --0.539341 1.27026 0.37563 -0.331259 --0.801445 -0.558213 -0.568739 -1.11601 --0.000312966 1.90755 -1.99243 -1.86964 --1.9944 -1.65474 -2.1036 -3.66733 --1.9944 -1.65474 2.13128 3.521 --1.9944 -1.65474 -0.0276711 0.146335 -1.04029 0.680988 1.18066 -1.11768 -0.669847 1.33235 1.70552 -0.0654999 -1.35249 1.45994 2.64928 -1.04766 -1.35249 1.45994 -2.66938 0.797728 -0.987264 -1.77369 -2.95779 0.164467 -0.987264 -1.77369 2.8316 0.0419946 --1.64473 -1.63299 -1.36844 -3.34247 --1.64473 -1.63299 1.37016 3.15596 --1.29644 -0.38907 -0.403521 0.31534 --1.34524 0.307005 -0.438691 -0.265915 -0.946502 1.13046 1.72893 -0.678548 --1.60804 -0.10194 2.20611 0.176276 --1.60804 -0.10194 -1.81173 -0.233762 -0.296073 -1.34377 1.07867 -0.556885 -0.296073 -1.34377 0.564974 -0.252237 --1.55981 0.67113 1.94231 -1.15791 --1.55981 0.67113 -1.71071 1.40567 --1.52026 0.628234 1.8948 -1.0604 --1.52026 0.628234 -1.64262 1.31706 -1.72779 0.974532 2.00871 -2.10652 -1.72779 0.974532 -1.87708 1.88689 -0.788818 1.6677 -2.57991 -0.408638 --0.0289928 1.89207 -1.93014 -1.88533 --0.0289928 1.89207 1.65155 1.89704 --1.2516 -1.82028 -0.421106 -3.3524 --1.2516 -1.82028 0.347132 3.16054 --1.2516 -1.82028 0.0739736 0.191863 -0.527645 -1.22434 -1.69261 0.419852 -0.527645 -1.22434 1.36501 0.0341941 -0.122412 -0.329312 -0.668928 0.280017 --1.23651 -1.98376 -0.218902 -3.64931 --1.23651 -1.98376 0.137849 3.48486 --1.39919 0.164427 -1.35214 0.423697 -1.76737 0.0821002 0.316419 -2.3766 -1.76737 0.0821002 -0.00349085 2.34917 --1.63407 -1.81279 -1.19017 -3.70603 --1.63407 -1.81279 1.17291 3.53873 -1.44128 0.418461 0.912168 -1.79129 -1.44128 0.418461 -0.517831 1.5725 --1.37262 -1.42543 -0.998886 -2.72091 --1.37262 -1.42543 0.990545 2.46395 -1.8707 -1.13095 -2.30419 -2.11706 --0.627557 1.26025 0.334441 -0.370154 -1.87742 1.74716 3.71142 -1.84839 -1.87742 1.74716 -3.7007 1.69684 -1.097 1.9661 -3.43075 -0.154418 -1.097 1.9661 3.3278 -0.0135466 -0.850721 1.84406 -2.94532 -0.480594 -0.850721 1.84406 2.78914 0.294913 -0.486691 -1.93956 2.46775 -1.08013 -0.486691 -1.93956 0.222051 -0.119274 --1.72196 1.72828 -1.44985 3.60614 --1.72196 1.72828 1.44946 -3.4379 -0.49087 1.48198 -2.00894 -0.689076 --1.91101 1.46614 -2.05736 3.18979 --1.91101 1.46614 2.10233 -3.02344 --0.168623 1.17433 0.43648 1.2888 --0.135974 -1.81541 1.37923 -1.95735 -1.04593 0.942737 -1.52526 0.490445 --1.23243 0.757076 -1.11162 1.48576 --1.23243 0.757076 1.3317 -1.08985 --1.1799 0.934543 -0.96389 1.7526 --1.1799 0.934543 1.08739 -1.33294 --0.322072 0.398043 0.724659 -0.272794 -1.27315 -0.853954 1.5513 1.36868 -1.27315 -0.853954 -1.40548 -0.95818 -0.658917 -1.27977 -1.8647 0.281036 --1.84639 1.42057 -1.9491 3.04767 --1.84639 1.42057 1.99679 -2.86975 -0.75369 -1.44756 -2.19098 0.268329 -0.75369 -1.44756 1.98699 0.0427674 --1.69447 1.69005 -1.42436 3.5023 --1.69447 1.69005 1.4251 -3.32743 -0.0996908 1.34296 -1.44269 -1.02819 --1.5885 1.29562 1.55089 -2.38987 --1.28587 1.86703 -0.4387 3.47675 --1.28587 1.86703 0.368842 -3.29454 --1.49733 -0.550805 1.89362 0.914598 --1.49733 -0.550805 -1.60804 -1.16792 --1.49733 -0.550805 -0.285576 0.253319 -1.93581 -1.07134 2.31557 2.47191 -1.93581 -1.07134 -2.20696 -2.29802 --1.96773 1.20519 -2.34119 2.65691 --1.96773 1.20519 2.42666 -2.49012 -1.22938 0.256551 0.644752 -1.47971 -1.22938 0.256551 -0.0796047 1.32626 --0.777655 -1.2054 -0.0427824 1.45173 --0.777655 -1.2054 0.24553 0.453327 -0.260269 -1.98779 -2.47132 1.6118 -0.260269 -1.98779 2.22911 -1.54853 --0.119389 -1.97346 -1.90242 2.12717 --1.11285 -1.22663 -0.689458 -2.18561 --1.11285 -1.22663 0.658507 1.81206 --0.70652 -0.1426 -0.496584 0.60625 --1.1657 1.27133 -0.745578 2.29653 --1.1657 1.27133 0.719771 -1.95452 -1.91142 1.51121 3.22845 -2.12346 -1.91142 1.51121 -3.18991 1.9595 -0.000243656 1.83594 -1.89855 -1.76627 -0.000243656 1.83594 1.60205 1.7704 --1.2558 -0.988024 1.16966 1.49991 --1.81889 0.799433 2.36771 -1.54347 --1.81889 0.799433 -2.19809 1.72898 -0.665231 1.10661 -1.62673 -0.159819 -0.665231 1.10661 1.41356 -0.339938 --0.559524 1.42022 -0.606222 -1.716 -1.00532 -1.39148 -2.29037 -0.193152 -1.00532 -1.39148 2.18809 0.509462 --0.617984 -1.75308 0.591215 -2.53252 --0.617984 -1.75308 -0.816222 2.35468 --1.83726 -0.365331 2.57939 0.698432 -1.57752 1.65663 3.24192 -1.30012 -1.57752 1.65663 -3.25157 1.10974 --1.81731 -1.23733 2.07797 2.45016 -1.76611 1.61556 3.3292 -1.72715 -1.76611 1.61556 -3.31404 1.55344 --0.0433459 -1.75148 -1.72993 1.70237 --0.0433459 -1.75148 1.4063 -1.72458 -1.92595 1.03187 2.22843 -2.47284 -1.92595 1.03187 -2.11215 2.29759 -0.747674 -1.68907 -2.57513 0.497906 -0.747674 -1.68907 2.38052 -0.27774 -0.747674 -1.68907 0.194613 -0.220166 --0.875012 1.68646 0.162333 -0.22517 -0.603627 1.78128 -2.57411 -0.828164 -0.603627 1.78128 2.34904 0.652867 --1.97005 0.4605 -2.59735 1.03407 -1.50431 -1.39582 -2.6464 -1.15346 -0.704669 -1.74674 2.42456 -0.428655 -0.435479 1.64328 1.87378 0.754773 --0.747254 -0.578993 0.90612 0.504049 -1.59571 -0.298384 0.72241 2.06656 -1.59571 -0.298384 -0.368578 -1.94178 -1.95552 0.67209 -1.31685 2.54092 -0.369395 -1.11705 1.03295 0.0803407 -0.76755 0.297787 0.653308 -0.923033 -1.81753 -0.33367 0.802161 2.47662 -1.81753 -0.33367 -0.528311 -2.37652 --1.87338 -0.605865 2.56915 1.18215 -1.82205 1.92915 4.05834 -1.55218 -1.82205 1.92915 -4.06652 1.41053 -0.32551 -0.905384 -1.19787 0.432523 --1.6234 1.42929 -1.48099 2.91195 --1.6234 1.42929 1.50902 -2.69973 --0.713969 -1.51376 0.173638 -2.28255 --0.713969 -1.51376 -0.40721 2.01415 --1.79939 -0.878031 -2.13148 -1.88593 --1.79939 -0.878031 2.28388 1.69083 --1.28184 0.120645 -1.07328 0.419422 --1.45251 -1.24982 -0.0435092 0.269531 -0.516483 0.569574 0.822563 -0.617251 -0.516483 0.569574 -0.983213 -0.120238 -0.905681 0.845001 -1.34052 0.275278 --1.08097 -1.38905 -0.514593 -2.42827 --0.0138225 -1.85331 1.61047 -1.81755 -1.80609 -0.615372 -1.12547 -2.23641 --0.0418774 -0.7525 -0.838013 0.614509 --0.0418774 -0.7525 0.139498 -0.933893 -1.12472 -1.95567 3.34158 0.0800442 --0.720893 -1.7094 0.379196 -2.58754 --0.720893 -1.7094 -0.583526 2.38295 --1.35807 1.0034 -1.23293 1.94929 --1.35807 1.0034 1.34305 -1.61917 -1.85747 -1.34123 2.8275 2.13752 -1.85747 -1.34123 -0.0594707 -0.181184 --0.187237 1.69729 0.32807 -0.0786877 --0.97356 1.83432 0.100778 3.08203 --1.64282 0.954896 -1.78588 1.98182 -1.90085 -1.01095 -2.05128 -2.25234 -1.90085 -1.01095 -0.120913 -0.179852 --1.35623 0.89017 -1.27729 1.74982 --1.35623 0.89017 1.43361 -1.41212 --1.31421 0.203043 -1.19984 0.549408 -0.826054 0.31749 0.683143 -0.978994 --1.24366 1.43866 -0.754193 2.64471 --1.24366 1.43866 0.714649 -2.36795 -0.60752 -1.11877 -1.60895 0.244036 -0.60752 -1.11877 1.35968 0.262886 -1.67817 -0.756357 1.57131 2.11301 -1.67817 -0.756357 -1.37244 -1.88925 --1.0535 -1.03458 -0.716366 -1.84566 --1.0535 -1.03458 0.75388 1.37027 -0.282743 -1.90988 -2.38532 1.4746 -0.282743 -1.90988 2.1259 -1.39759 --0.480136 0.968385 -0.0322083 1.39405 --0.480136 0.968385 -0.527673 -0.978153 --1.23174 1.83522 -0.368284 3.36034 --1.23174 1.83522 0.290069 -3.17045 --1.70145 -0.279012 -2.0262 -0.619457 --1.3141 -0.825698 -1.22705 -1.6239 --1.3141 -0.825698 1.41154 1.26668 -0.808906 0.916146 1.33174 -0.683575 -0.808906 0.916146 -1.42533 0.120531 --0.284157 1.62024 -1.23025 -1.78536 --0.284157 1.62024 0.893203 1.91091 --1.07832 1.21217 -0.643751 2.13841 --1.07832 1.21217 0.603756 -1.74752 -1.67239 1.04756 2.11835 -1.95913 -1.67239 1.04756 -2.00704 1.72597 -0.452568 -1.98516 -2.71971 1.31091 -0.452568 -1.98516 2.5008 -1.20563 -1.89412 -1.64533 -3.48216 -1.81786 --0.522753 1.03455 -0.0262102 1.49477 --0.522753 1.03455 -0.480256 -1.06956 --1.07066 -0.00780094 1.40953 0.00963701 --1.07066 -0.00780094 -0.711055 -0.517609 --0.602114 0.292869 0.906185 -0.238447 --0.961795 0.36441 -0.761799 0.910535 -1.97501 -1.73585 3.7741 2.07421 -1.97501 -1.73585 -3.75569 -1.9308 -1.84224 -1.20564 2.53671 2.19845 -1.84224 -1.20564 -2.45454 -2.00868 -0.336595 1.43133 1.34222 0.619107 --0.478858 -1.86446 0.948817 -2.5237 --0.478858 -1.86446 -1.18322 2.39535 -0.467766 1.53063 1.72445 0.536042 --1.83678 -1.5762 -1.81734 -3.37419 --1.83678 -1.5762 1.84361 3.20543 -1.07996 -0.87466 1.4686 1.06596 -1.07996 -0.87466 -0.060018 -0.501036 -1.8676 1.64275 3.47565 -1.91989 -1.8676 1.64275 -3.45529 1.75963 --0.867908 -1.39859 -0.168261 -2.2608 --1.44246 -0.0781472 -1.41838 -0.203044 -0.281241 0.150486 0.225295 0.635381 -1.24336 0.956638 1.69629 -1.26027 -1.24336 0.956638 -1.609 0.863171 -0.291937 -1.60262 1.59902 -0.952777 -1.27974 1.30369 2.30265 -1.05702 -1.27974 1.30369 -2.31087 0.760762 -1.40665 0.8807 -1.51317 1.23587 -1.71162 -0.650851 1.38573 2.21274 -1.71162 -0.650851 -1.1584 -2.01414 --1.09327 -1.24053 0.60494 1.82019 -0.369816 1.45471 1.44005 0.593152 -1.90034 -0.809359 1.76206 2.52405 -0.606746 1.26614 1.53009 -0.0693885 -0.900822 -1.02508 1.54318 0.709018 -0.900822 -1.02508 -1.61835 -0.222912 --0.109581 -0.148642 -0.120141 -0.5604 --1.52888 0.817135 -1.61552 1.67553 --1.52888 0.817135 1.79836 -1.40521 -0.280911 0.331507 0.165073 0.702295 --0.15335 -1.23116 -1.05374 1.13528 --0.15335 -1.23116 0.51675 -1.31594 -0.871879 0.24093 0.159127 0.962214 -1.10339 1.14175 1.88359 -0.903333 -1.10339 1.14175 -1.90481 0.518922 -1.28174 0.884834 1.6052 -1.365 -1.28174 0.884834 -1.47381 0.966749 --1.09262 0.0202332 -0.700535 -0.482191 -1.52517 1.13861 -2.12041 1.35873 --1.97545 0.936074 -0.131944 -0.161311 -1.49341 1.21093 2.30706 -1.51496 -1.49341 1.21093 -2.25392 1.24995 -0.395181 1.27908 1.18922 0.21426 --1.09311 -0.445218 1.33612 0.560944 --1.09311 -0.445218 -0.934505 -1.00006 --1.14251 0.559391 -0.333746 -0.425859 --1.38019 -1.18013 -1.17872 -2.27665 --1.38019 -1.18013 1.23052 1.97691 --0.47533 0.753088 -0.520296 -0.766557 --0.608788 1.47624 -0.565849 -1.8542 --1.42964 -0.130538 -1.40606 -0.333854 -1.80734 0.0186714 0.187601 -2.44656 -1.80734 0.0186714 0.11382 2.44065 --0.352271 1.44528 0.579097 1.78176 --0.352271 1.44528 -0.960185 -1.58662 --1.78931 -1.0626 -2.03442 -2.26359 --1.78931 -1.0626 2.14505 2.06218 --0.383594 -1.64406 0.79289 -2.07657 --0.383594 -1.64406 -1.10016 1.92522 --1.91228 -0.964806 -2.33593 -2.11183 --1.91228 -0.964806 2.46495 1.93741 --0.0950427 -1.95518 -1.91537 2.06682 --0.0950427 -1.95518 1.65667 -2.09424 -0.904325 1.73292 -2.80384 -0.273464 -0.904325 1.73292 2.65639 0.0579366 -1.56925 0.192381 0.535537 -2.01998 --0.834979 -1.17013 0.194292 0.490523 -1.86005 0.98716 -1.97589 2.17359 -1.23231 -0.473947 -0.424088 -1.10531 -1.19023 1.1131 -1.89323 0.694578 -1.32101 0.0516067 0.335433 -1.5947 -1.32101 0.0516067 0.178357 1.56646 -1.32101 0.0516067 -0.51379 0.0282367 -0.190226 1.99363 0.246286 0.0458414 -1.16152 1.74979 0.0869821 0.208254 -1.23084 -0.664973 -0.285766 -0.495448 --1.20309 0.83419 1.22036 -1.18816 --1.86064 1.59335 -1.85583 3.42933 -0.565461 0.80075 -1.21021 -0.142078 -0.565461 0.80075 1.03271 -0.528333 --1.49337 -1.37675 -1.26243 -2.71696 --1.49337 -1.37675 1.28368 2.4747 --1.83648 0.688855 2.45896 -1.33123 --1.83648 0.688855 -2.26542 1.50194 --0.157126 1.31136 -1.11479 -1.23599 --0.157126 1.31136 0.616412 1.39035 --1.73026 0.623633 2.28219 -1.15475 --1.73026 0.623633 -2.05857 1.34335 --0.645207 1.19288 -0.311672 -1.36139 --1.43209 0.151788 -1.41991 0.381518 -1.68687 -1.25202 2.52496 1.85473 -1.68687 -1.25202 -2.46043 -1.63721 -1.77634 -0.711496 1.52249 2.31579 --1.82612 0.0893586 -2.30112 0.200636 -1.33864 0.790209 1.48317 -1.50628 --1.64068 1.53447 -1.43831 3.13751 --1.64068 1.53447 1.45216 -2.93948 --0.635216 -0.354641 -0.44732 -0.888345 --0.635216 -0.354641 0.917651 0.291885 --0.635216 -0.354641 -0.470331 0.596461 -0.205152 1.25694 0.749121 0.756298 -1.03267 1.12156 1.79256 -0.812519 -1.03267 1.12156 -1.83485 0.402311 -0.0969336 -1.46401 -1.57152 1.16689 -0.0969336 -1.46401 1.09826 -1.1369 --0.599155 1.02808 0.482987 -0.482372 --1.43696 -0.286207 -1.47294 -0.662971 --1.28511 -1.5429 -0.743023 -2.86715 --1.28511 -1.5429 0.698124 2.6213 -1.0081 -1.18306 1.86304 0.720734 -1.0081 -1.18306 -1.92944 -0.328772 --0.528754 -1.56395 -0.782675 1.93522 --0.528754 -1.56395 0.28899 0.212718 --0.0942936 -1.808 -1.72697 1.84647 --0.0942936 -1.808 1.42583 -1.8823 --0.971011 1.4019 -0.325404 2.35689 --0.971011 1.4019 0.197829 -2.02933 -0.427019 -1.66804 1.90522 -0.804605 -1.48385 0.989758 1.90033 -1.64506 -1.48385 0.989758 -1.78289 1.35029 --0.171368 0.214815 -0.147075 0.644196 --0.171368 0.214815 0.613464 -0.198835 --0.171368 0.214815 -0.466389 -0.445361 -1.98496 0.49102 -0.21248 0.110172 -1.69303 -1.00286 2.04446 2.02419 -1.69303 -1.00286 -1.92063 -1.79541 -1.97574 1.99805 4.36719 -1.82867 -1.97574 1.99805 -4.36867 1.70209 -1.13715 -1.69118 -2.9446 -0.191336 -1.13715 -1.69118 2.85507 0.413368 -1.37414 0.851937 1.60213 -1.53347 -1.37414 0.851937 -1.43709 1.17746 -0.165831 1.32805 -1.4964 -0.94175 -0.165831 1.32805 0.895396 0.874658 -1.84662 -1.30107 2.73631 2.14336 -1.84662 -1.30107 -2.67084 -1.95838 -1.91005 1.0707 -2.19106 2.24013 -0.76411 0.895591 1.27324 -0.648572 -0.76411 0.895591 -1.38462 0.0647218 -1.20481 -1.53525 -2.70469 -0.451514 -1.20481 -1.53525 2.64296 0.704284 --1.84177 -0.147675 -2.33557 -0.33123 --1.99296 1.22415 -2.38603 2.71215 --1.99296 1.22415 2.4688 -2.54956 -1.91586 -0.810455 -1.60826 -2.38859 -0.334098 -1.61845 1.68634 -0.899083 --1.86535 1.2329 -2.10556 2.65995 --1.86535 1.2329 2.18431 -2.47655 -0.753723 1.70815 -2.61278 -0.506919 -0.753723 1.70815 2.42158 0.292072 --0.589262 0.937843 -0.393922 -0.937948 --0.585407 1.35311 -0.511298 -1.61866 --1.04614 -1.87535 0.0173024 -3.23587 --1.04614 -1.87535 -0.132251 3.0515 --1.74985 -0.448954 2.38826 0.831907 --1.74985 -0.448954 -2.12293 -0.983008 --1.74985 -0.448954 -0.265326 0.151101 --1.40313 1.33449 -1.12143 2.57425 --1.40313 1.33449 1.13708 -2.30654 -0.538253 1.60349 1.95049 0.520511 -1.58243 -0.67309 1.38405 1.96893 -1.58243 -0.67309 -1.14219 -1.72176 -1.16829 -0.421797 -0.249811 -1.08012 --0.863206 -1.72143 0.163622 -2.76748 --0.863206 -1.72143 -0.327248 2.55284 --1.6063 -1.14534 -1.62442 -2.33835 --0.543046 1.30972 0.196355 1.83004 --0.543046 1.30972 -0.555299 -1.51546 --0.90859 -1.94721 0.345618 -3.20543 --0.90859 -1.94721 -0.485466 3.04018 -1.14179 -0.724986 1.2892 1.23707 -0.659627 1.38636 1.77053 0.0216216 --0.760425 1.08126 -0.273497 1.7266 --0.760425 1.08126 -0.0367711 -1.14211 --1.98412 1.70807 -0.0218668 -0.144293 --1.38495 -0.90761 -1.32121 -1.79142 --1.38495 -0.90761 1.47113 1.46614 -1.98853 -0.298654 0.744534 2.82139 -1.98853 -0.298654 -0.508582 -2.75053 -1.98853 -0.298654 -0.235952 -0.0708662 --0.598204 1.63821 0.482311 2.33596 --0.598204 1.63821 -0.733502 -2.13054 -1.57872 -0.57732 1.21274 1.99187 -1.57872 -0.57732 -0.93241 -1.76398 --1.85591 1.96261 -1.52974 4.23596 --1.85591 1.96261 1.52216 -4.09901 --1.22633 -1.34471 -0.79607 -2.46601 -0.867414 0.628396 1.03597 -0.928083 -0.633537 1.94827 2.6883 0.828349 --1.93832 -1.80546 -1.85521 -3.95934 --1.93832 -1.80546 1.86545 3.81711 --0.824787 0.784112 -0.523249 1.38747 --0.824787 0.784112 0.789813 -0.721327 --0.729165 -0.385644 -0.524659 -0.929265 --0.729165 -0.385644 0.982115 0.344071 -1.93996 -0.182515 0.505476 2.72497 -1.93996 -0.182515 -0.24835 -2.67763 --1.19577 -1.40829 -0.69412 -2.55321 --1.19577 -1.40829 0.646873 2.25995 -1.50293 -0.56616 -0.866013 -1.60685 -1.91522 -0.0794125 0.296923 2.66955 -1.91522 -0.0794125 -0.0282975 -2.64801 --1.42999 1.14217 -1.29137 2.23605 --1.42999 1.14217 1.36155 -1.946 -0.511876 1.89391 -2.64784 -1.10378 -0.511876 1.89391 2.42176 0.971162 -1.67323 0.580496 -0.256272 0.196372 --1.9353 1.9051 -1.76077 4.18048 --1.47259 -1.00266 -1.44024 -2.00037 -0.7229 0.15122 0.50954 -0.897808 -0.7229 0.15122 0.265579 0.883791 -1.89088 0.352816 -0.594109 2.52447 -1.10972 0.596218 -0.850337 0.529137 -1.10972 0.596218 -0.244799 0.71743 -1.82276 0.329381 0.794241 -2.48713 -1.82276 0.329381 -0.521207 2.38897 -1.66007 -1.77485 3.56536 1.35641 -1.66007 -1.77485 -3.57682 -1.18776 -0.29209 1.55726 -1.90581 -1.03489 -0.29209 1.55726 1.51652 0.889493 --0.56683 -1.26256 -0.486463 1.44922 --1.55399 -1.1656 -1.51178 -2.34915 --1.55399 -1.1656 1.58815 2.09599 -0.439158 -1.1529 -1.53839 0.477196 -0.439158 -1.1529 1.16045 0.0627524 -0.447702 1.15037 1.17187 -0.0729285 -0.862732 1.94684 -3.14129 -0.570373 -0.862732 1.94684 2.99381 0.406097 -0.884749 -0.204102 -0.752261 -0.0659514 -1.84988 -1.04546 2.21511 2.30993 --1.63844 -0.503423 2.16282 0.892028 --1.63844 -0.503423 -1.88812 -1.08611 -0.637093 1.571 -2.27917 -0.559362 -0.637093 1.571 2.03293 0.308796 --1.34087 -1.32981 -1.01045 -2.52222 --1.34087 -1.32981 1.01529 2.23961 --1.32072 -1.66918 -0.697705 -3.13356 --1.32072 -1.66918 0.646655 2.91765 -1.56774 1.97955 -3.93668 0.797421 -1.56774 1.97955 3.90081 -0.949847 -0.659505 0.37117 -0.864688 0.00150523 --1.2017 0.629796 -1.0887 1.27677 --1.2017 0.629796 1.3779 -0.874475 --1.989 -1.95227 -1.83978 -4.33647 --1.989 -1.95227 1.84226 4.20769 -1.14868 -1.35811 2.27671 0.781721 --0.325373 1.66473 -1.21367 -1.89707 --0.325373 1.66473 0.899589 2.02649 --1.15031 -1.74161 -0.312772 -3.1041 --1.15031 -1.74161 0.221505 2.89229 --1.64107 -0.381159 2.21018 0.673035 --1.64107 -0.381159 -1.89876 -0.836008 -1.41348 1.89914 -3.61589 0.547846 -1.41348 1.89914 3.56488 -0.718392 -1.31661 -0.442805 0.929613 1.58917 -0.791623 -0.0712884 0.438266 0.961891 -0.791623 -0.0712884 0.314191 -0.948473 -0.186936 0.130883 0.412036 -0.459415 -1.19767 0.582457 -0.669736 0.797913 -1.19767 0.582457 -0.436901 0.577537 -0.0234271 -1.38665 0.890207 -1.18915 -0.0234271 -1.38665 0.512514 0.0327142 --1.06699 0.811913 -0.839357 1.51881 --1.06699 0.811913 1.03343 -1.02463 --1.57931 1.9787 -0.915641 4.00065 --1.57931 1.9787 0.880998 -3.84829 --0.235833 -0.583899 -0.0592152 -0.933161 -0.282866 1.32582 1.00295 0.561232 --1.79676 -0.97716 -2.08773 -2.09016 --1.79676 -0.97716 2.21729 1.89102 --1.19127 1.03283 -0.934966 1.91727 --1.19127 1.03283 1.00899 -1.51869 --0.650454 -0.604416 -0.397671 -1.12132 -0.384276 -0.135067 0.451672 0.624453 -0.384276 -0.135067 0.266031 -0.683974 -0.384276 -0.135067 -0.717703 0.0595207 --1.10316 -0.813858 1.08415 1.06356 -0.192255 -1.82505 0.293858 -0.0592018 --1.60215 -0.577111 2.06577 1.00966 --1.60215 -0.577111 -1.80801 -1.22945 --1.02518 -1.44195 0.268958 2.16213 --1.80033 0.251156 2.53419 -0.472363 --1.80033 0.251156 -2.24178 0.559732 --1.18934 1.34439 -0.732351 2.43784 --1.18934 1.34439 0.695869 -2.12453 --0.308174 1.64519 -1.21969 -1.8486 --0.308174 1.64519 0.895903 1.97676 -1.08541 1.31824 2.14927 -0.71462 -1.08541 1.31824 -2.21441 0.385593 -1.81374 -1.06313 2.23048 2.22724 -1.01531 0.684056 -1.07617 0.428588 -1.99558 -1.82903 4.00192 2.03618 -1.99558 -1.82903 -3.99018 -1.90028 -1.52057 0.45747 -0.646871 1.7085 --0.845482 1.88865 0.385324 3.02826 --0.845482 1.88865 -0.541732 -2.85523 --0.215667 0.127766 -0.400563 -0.47633 --0.655271 -0.942485 0.54537 0.562583 -0.837583 0.863261 1.29101 -0.756863 -0.837583 0.863261 -1.35731 0.173218 -1.10828 -0.889992 -1.44168 -0.615533 -1.40731 1.25994 2.33077 -1.32019 -1.40731 1.25994 -2.30296 1.04264 --1.8521 -1.68421 -1.76589 -3.61986 --1.8521 -1.68421 1.78125 3.46092 --1.50632 -1.10497 -1.45353 -2.2079 --1.50632 -1.10497 1.54248 1.93667 --1.19147 0.655772 1.34518 -0.905452 --1.75534 -0.0597412 2.47217 0.110138 --1.75534 -0.0597412 -2.14241 -0.134286 -1.17344 0.737715 -1.13523 0.757126 -1.07427 0.952594 1.57675 -1.00584 --1.14092 -1.67527 -0.361453 -2.97529 --1.14092 -1.67527 0.270894 2.74771 -0.404774 -0.451911 0.171928 -0.740111 -0.693638 -1.81061 2.52273 -0.533338 -0.724207 1.68412 2.34126 0.311902 -1.9864 -1.62996 3.54863 2.19053 -1.9864 -1.62996 -3.51926 -2.04197 -1.68233 0.599689 -1.03334 1.97553 -0.731869 -1.195 -1.7911 0.11827 -0.731869 -1.195 1.59662 0.319933 -0.327695 1.62725 -2.03896 -1.06562 --1.47478 1.10082 1.484 -1.90275 -1.52192 -0.830587 1.63883 1.79732 --1.11744 -1.78114 -0.212815 -3.14219 --1.11744 -1.78114 0.113198 2.93814 --1.51065 1.55743 -1.15981 3.08135 --1.51065 1.55743 1.15391 -2.86828 -1.90002 0.760863 1.66411 -2.54198 -1.90002 0.760863 -1.48982 2.37677 --0.258434 1.70099 -1.35626 -1.88032 --0.258434 1.70099 1.04072 1.98196 --1.49285 -0.0206982 2.01655 0.0337803 --1.49285 -0.0206982 -1.53482 -0.0512615 --1.49285 -0.0206982 -0.481729 0.0174812 -1.93296 -1.51078 3.24456 2.17027 -1.93296 -1.51078 -3.20472 -2.00895 --0.994905 -1.8319 0.060549 -3.10151 --0.994905 -1.8319 -0.187145 2.90883 -0.418116 -0.422159 -0.854448 0.147299 --0.661802 -0.990355 -0.27743 0.990313 -0.249252 -0.121325 0.414134 0.517649 -0.50356 1.87017 -2.60035 -1.08855 -0.50356 1.87017 2.36795 0.952761 -1.04238 1.45647 -2.43295 0.21105 -1.04238 1.45647 2.33555 -0.502192 -1.53598 -1.9498 -3.84151 -0.757905 -1.53598 -1.9498 3.80358 0.915439 -1.61116 -0.638682 -1.08201 -1.80203 --1.44549 -0.0331791 1.93993 0.0527789 --1.44549 -0.0331791 -1.41585 -0.0873473 --1.31849 0.157284 -0.556645 -0.225856 --1.25606 -1.47565 -0.746455 -2.72085 --1.25606 -1.47565 0.04235 0.265542 --1.50178 1.16785 -0.0709071 -0.266693 --1.61366 -1.88942 1.05029 3.68698 -0.542584 -1.79383 -2.52583 0.938659 -0.542584 -1.79383 2.28716 -0.77764 -1.76805 1.00912 -1.97504 1.95707 -1.70283 -1.56032 -3.14307 -1.45699 -0.30798 -1.67674 -2.08407 1.14951 -0.30798 -1.67674 1.75362 -1.02688 -1.85897 -0.596796 -0.215609 -0.15181 -0.618587 1.39735 1.73045 0.0981363 -1.66708 1.39607 2.79595 -1.70739 -1.66708 1.39607 -2.75974 1.49918 --1.50452 -1.7965 -0.939096 -3.55256 --1.50452 -1.7965 0.907125 3.37279 -1.91428 -1.89034 4.06302 1.79544 -1.91428 -1.89034 -4.06138 -1.65738 -1.74465 1.3328 2.72811 -1.91177 -1.74465 1.3328 -2.67434 1.71128 --1.75551 1.39214 -1.77666 2.9269 --1.75551 1.39214 1.82273 -2.73311 -1.92368 0.687304 -1.33671 2.46322 -1.92368 0.687304 -0.187019 0.151745 -0.102203 1.89979 1.8514 1.69211 -0.102203 1.89979 0.27603 0.0268532 --1.7358 1.92693 -1.29988 4.04377 --1.7358 1.92693 1.28447 -3.89572 -1.54331 -1.99608 -3.94836 -0.728304 -1.54331 -1.99608 3.9089 0.880102 --0.606852 1.24965 0.059119 1.81643 --0.606852 1.24965 -0.40901 -1.4482 --1.01317 1.84518 0.0429028 3.14523 --1.01317 1.84518 -0.165232 -2.95507 --1.73598 1.70041 -1.50314 3.55898 --1.50156 1.14642 1.49911 -2.0147 --0.922249 0.837493 -0.625911 1.49769 --0.922249 0.837493 0.81561 -0.891519 -0.047581 0.335954 -0.634327 -0.331657 -1.74981 -0.946431 1.96562 2.1638 -1.74981 -0.946431 -1.82682 -1.95029 -1.12119 -1.54897 -2.66382 -0.282651 -1.12119 -1.54897 2.58006 0.54017 --1.52738 -0.206975 -1.6448 -0.47802 -1.7662 -1.34316 -2.71149 -1.75184 -1.43389 0.618903 -0.941341 1.42319 -0.061504 1.45454 0.475716 0.00538238 -1.937 1.98022 4.28787 -1.75824 -1.937 1.98022 -4.29081 1.62803 --0.920103 -0.0244884 1.23431 0.0266938 -1.60074 -1.20755 2.37791 1.71891 -1.39318 1.60887 -3.00112 0.764591 --1.56863 0.740471 1.9191 -1.28902 --1.56863 0.740471 -1.71235 1.54073 -1.78371 -1.38937 2.87281 1.94913 -1.78371 -1.38937 -2.82554 -1.75926 --1.8194 0.239497 -2.28403 0.534572 --0.707969 -0.230136 -0.485241 0.590442 --0.0883739 1.0218 -0.97036 -0.863481 -1.1903 0.661446 -0.946365 0.787584 -0.221112 0.643161 -0.922421 -0.372814 --1.05341 1.3074 0.456983 -1.91627 --1.22443 -0.695473 -1.11337 -1.38472 --1.22443 -0.695473 1.366 0.988335 --1.98539 0.664367 2.77266 -1.34805 --1.98539 0.664367 -2.59171 1.48564 --1.75112 0.376883 2.41269 -0.697175 --1.75112 0.376883 -2.13061 0.830283 -0.779659 1.8269 -2.84015 -0.585967 -0.779659 1.8269 2.66582 0.401138 -0.067276 1.12091 0.502981 0.969152 -1.38125 0.327216 -0.303469 1.52197 -0.770002 1.34545 1.85121 -0.194374 -0.348346 0.134613 0.256816 0.664627 --0.448437 -1.24862 0.246741 -1.66248 --0.448437 -1.24862 -0.670365 1.35967 -0.551521 -1.44313 1.70413 -0.267503 -0.618718 -1.38712 -1.98815 0.422549 -0.092001 1.48239 1.1259 1.16588 -1.95455 0.353793 0.854597 -2.7473 --0.265985 -1.82765 -1.49047 2.08526 --0.265985 -1.82765 1.21321 -2.16978 -1.22981 -0.912786 -1.51555 -0.850099 --1.47824 1.34342 -0.0257814 -0.250141 -1.95467 -0.165094 0.46962 2.7547 -1.95467 -0.165094 -0.215101 -2.71265 -1.25741 -0.908944 1.6293 1.31215 -1.25741 -0.908944 -1.51629 -0.90802 -0.0441357 0.73574 -0.884467 -0.549396 -1.19706 -1.73048 -3.07395 -0.270737 -1.19706 -1.73048 2.99519 0.481259 --1.01246 1.69608 -0.00870299 -2.65761 -1.46866 -0.564255 1.16018 1.8055 -1.46866 -0.564255 -0.841276 -1.53356 --0.0848938 -0.340857 -0.0410577 -0.715659 --0.0848938 -0.340857 -0.577761 0.421601 -1.78998 -0.277374 0.691687 2.42677 -1.78998 -0.277374 -0.402242 -2.33906 --1.92935 -1.76144 -1.87241 -3.85346 --1.92935 -1.76144 1.88588 3.70748 --1.98074 1.36099 -2.27882 3.00559 --1.98074 1.36099 2.34115 -2.84424 --0.0288522 -1.94612 -2.00255 1.96457 --0.0288522 -1.94612 1.73909 -1.97485 --1.25256 0.322694 1.60009 -0.457687 --1.25256 0.322694 -1.1474 0.785518 -1.89161 1.5936 3.38992 -2.01362 -1.89161 1.5936 -3.36246 1.85254 --0.134947 1.56256 0.997025 1.62529 -1.68687 -1.95976 3.98617 1.2256 -1.68687 -1.95976 -4.00846 -1.0779 -1.50911 0.335902 -0.398256 1.75532 -0.277882 1.28709 0.840517 0.521035 -0.277882 1.28709 0.719843 0.255725 -0.0229119 -0.817756 -0.924692 0.619016 -1.59755 -1.0505 2.07928 1.81583 -1.59755 -1.0505 -1.97244 -1.56213 -1.29057 0.0169645 0.290556 -1.54101 -1.29057 0.0169645 0.240236 1.53165 -0.704485 -1.66312 -2.48994 0.542728 -0.704485 -1.66312 2.27909 -0.31822 -0.749229 -1.40183 1.91043 0.093463 -1.79064 1.6607 3.44645 -1.73911 -1.79064 1.6607 -3.43413 1.57206 --1.42661 1.19112 -1.25701 2.32422 --1.42661 1.19112 1.31248 -2.03958 -0.579002 -0.336266 0.650493 0.74241 --0.0940185 -1.53711 -1.41356 1.46712 --0.0940185 -1.53711 1.00692 -1.53353 -1.36406 1.72507 -3.2125 0.606975 -1.36406 1.72507 3.16504 -0.80737 -1.36406 1.72507 0.0474623 0.200395 --0.849049 -1.11407 0.199915 1.28007 -1.50487 -1.94871 3.76732 0.851693 --0.373727 -0.787899 -0.0561495 -1.15814 --0.373727 -0.787899 -0.605038 0.781655 --0.621376 -1.66208 0.476237 -2.39869 --0.0997758 -1.49655 -1.36334 1.41944 --0.0997758 -1.49655 0.938729 -1.4961 --1.46946 1.88114 -0.786767 3.68982 --1.46946 1.88114 0.744158 -3.51916 -1.25153 -1.21359 2.1237 1.0847 --1.96098 1.22532 -2.31547 2.69708 --1.96098 1.22532 2.39762 -2.52948 -1.07436 1.41676 -2.38509 0.298072 -1.07436 1.41676 2.302 -0.597798 -1.76346 1.94855 4.04143 -1.4037 -1.76346 1.94855 -4.05589 1.25979 --1.62213 -0.595349 2.09353 1.052 --1.62213 -0.595349 -1.84504 -1.26823 -0.745509 1.9248 2.79797 0.592834 -0.16545 1.26609 -1.42985 -0.879879 -0.16545 1.26609 0.667455 0.0351644 -1.221 1.67924 -2.99587 0.362869 -1.221 1.67924 2.92515 -0.582434 -1.95262 -1.75867 3.80496 2.00395 -1.95262 -1.75867 -3.79002 -1.85999 --0.557856 1.59702 -0.763972 -2.01942 -1.79002 1.32857 2.7527 -2.00722 -1.79002 1.32857 -2.69506 1.81424 -0.81216 1.25483 0.163245 0.396022 --0.831106 -1.04185 0.233479 1.01837 -1.23633 0.539622 1.05608 -1.44536 -1.23633 0.539622 -0.479587 0.436793 -1.27023 -0.151416 0.49162 1.53454 -1.27023 -0.151416 0.0492822 -1.4487 --1.39973 -1.14077 -1.23684 -2.21657 --1.39973 -1.14077 1.30356 1.91705 -0.967335 1.85635 -3.08887 -0.283812 -0.967335 1.85635 2.95933 0.0962884 -0.967335 1.85635 0.129543 0.187523 -0.876676 -1.36575 -2.15432 0.00722071 -0.876676 -1.36575 2.00675 0.332458 --0.986482 -1.18259 0.445637 1.58943 -0.50824 -1.70718 2.08764 -0.717567 --0.0524393 1.80462 -1.7833 -1.78914 --0.0524393 1.80462 1.47848 1.81158 --1.90798 1.75015 -1.83437 3.81056 --1.90798 1.75015 1.8474 -3.66186 -0.960603 -1.73692 2.73249 0.0381779 --1.54007 1.08918 -1.52566 2.19527 --1.54007 1.08918 1.62163 -1.93257 --1.66103 1.13487 -1.73811 2.34668 --1.66103 1.13487 1.82906 -2.11792 --0.675599 1.15223 -0.111295 1.75323 --0.675599 1.15223 -0.238524 -1.2925 -1.55198 0.848812 1.68553 -1.84212 -1.55198 0.848812 -1.51196 1.56693 --1.34682 -1.90159 -0.521639 -3.60677 --1.34682 -1.90159 0.460183 3.43268 --1.488 0.363676 -1.58733 0.807818 --1.4443 -1.25839 -1.24856 -2.4599 --1.4443 -1.25839 1.28875 2.18956 -0.164472 1.6836 -1.91981 -1.34966 -0.164472 1.6836 1.57025 1.28838 -1.8917 -1.28166 -2.65624 -2.07223 --1.75286 0.674374 2.30171 -1.26285 --1.75286 0.674374 -2.09459 1.45226 -1.64369 1.96687 3.95576 -1.12521 -1.64369 1.96687 -3.98279 0.975635 --0.96207 1.59252 -0.00385134 -2.40142 -0.321233 1.32266 1.07932 0.446 -0.258108 1.75642 -2.13411 -1.31441 -0.258108 1.75642 1.82449 1.22482 -1.28496 1.65345 -3.00048 0.510489 -1.28496 1.65345 2.94459 -0.730277 --0.766045 -0.916485 0.57546 0.713329 --1.59731 -0.0148771 2.19174 0.0255846 --1.59731 -0.0148771 -1.78323 -0.0344377 -0.715828 0.152781 -0.776123 0.0125875 -1.88195 0.377988 0.89548 -2.59877 -1.88195 0.377988 -0.644617 2.49674 -0.282873 -1.54906 -1.88497 1.03781 --1.27793 1.41385 -0.8349 2.62732 --1.27793 1.41385 0.80822 -2.35047 -1.03731 1.37969 -2.29217 0.257991 -1.03731 1.37969 2.20208 -0.574242 -1.8733 -1.80687 3.83865 1.78407 -1.8733 -1.80687 -3.83347 -1.63665 -1.41575 -1.50394 2.79038 1.1255 -1.41575 -1.50394 -2.80523 -0.892784 -0.16151 1.29626 0.824342 0.864976 -0.878711 1.1759 -1.84765 0.117421 -0.878711 1.1759 1.72827 -0.538826 -1.9593 0.0450109 0.222312 -2.75677 -1.9593 0.0450109 0.0355316 2.74527 --0.745385 1.0924 -0.0752255 -1.17127 --0.127217 1.88364 -1.77342 -2.00036 --0.127217 1.88364 1.49733 2.04068 -1.61306 -0.437144 -0.655267 -1.90979 -0.0434921 -0.442714 -0.70036 0.387075 -1.19168 -0.94915 1.65108 1.18408 -1.19168 -0.94915 -1.57682 -0.762463 --1.41066 -1.87123 0.628342 3.43604 --1.05469 0.164697 1.37658 -0.200807 --1.05469 0.164697 -0.804173 0.663477 -0.206343 1.48163 -1.71602 -1.05907 -0.206343 1.48163 1.25827 0.950732 -0.449067 -1.71019 2.01013 -0.825242 --1.29029 1.05345 1.17242 -1.65212 --0.938485 -0.64291 -0.71253 -1.24788 --0.938485 -0.64291 1.0311 0.697493 --1.21248 0.00462443 -0.804662 0.356344 -1.28506 -0.597514 -0.791661 -1.07911 --1.98459 -1.88452 -1.89077 -4.178 --1.98459 -1.88452 1.89777 4.04461 --1.45708 1.10019 -1.364 2.17327 --1.20934 0.0363855 1.58967 -0.0498872 --1.20934 0.0363855 -0.739055 -0.339321 -1.75544 -1.24326 2.55527 1.99728 -1.75544 -1.24326 -2.4843 -1.79275 -1.34886 -0.291527 -0.481597 -0.166604 -1.93442 -0.852489 1.86372 2.57565 -1.93442 -0.852489 -1.71172 -2.40982 -1.80956 -1.77053 3.69949 1.67909 -1.80956 -1.77053 -3.69627 -1.52325 --0.0680352 -0.900392 -0.908769 0.741995 -1.78385 -0.883373 1.85916 2.26072 -1.78385 -0.883373 -1.70506 -2.05824 -0.801267 -1.03217 -1.58947 -0.0687229 -0.801267 -1.03217 1.46416 0.575528 -1.5284 -0.0634229 0.314948 1.93505 -1.5284 -0.0634229 0.0929091 -1.90598 -1.27983 1.26762 2.23993 -1.08809 -1.27983 1.26762 -2.24043 0.783317 -1.97111 1.01462 2.21615 -2.5757 -1.97111 1.01462 -2.09759 2.40939 --1.30589 1.49697 0.0340084 -0.253152 --0.685797 -1.79103 0.202695 0.178807 -0.659267 -0.721153 1.02362 0.66219 -1.02761 -0.693302 -1.0867 -0.452647 --1.44163 1.58086 -1.00593 3.07052 --1.44163 1.58086 0.986239 -2.85198 --1.44163 1.58086 0.0196867 -0.21854 --1.396 -1.09243 -1.2564 -2.12701 --1.24264 -1.77591 -0.448861 -3.25979 --1.24264 -1.77591 0.375246 3.05914 -1.14349 -0.614269 -0.285518 -0.658712 -1.36395 -0.451689 0.952388 1.66112 -0.298473 1.30369 -1.59868 -0.768409 -0.298473 1.30369 0.963436 0.459407 -0.298473 1.30369 0.635248 0.309003 -0.187436 0.00304245 0.287063 -0.497489 -0.187436 0.00304245 0.281413 0.500419 -0.186632 -0.0846532 0.366848 0.467731 --0.0136315 -0.235656 -0.00489217 -0.618993 --0.702045 -1.98088 0.743481 -3.00624 --0.702045 -1.98088 -0.919253 2.8649 --1.21644 -1.23957 -0.853359 -2.27777 --1.21644 -1.23957 0.852062 1.94093 --1.27871 -1.2453 0.970098 2.01207 --1.72732 1.67717 1.50956 -3.32994 --0.688168 -0.726095 -0.374849 0.709626 -0.091286 1.99817 -2.2503 -1.87366 -0.091286 1.99817 2.00066 1.85268 -0.676039 1.88531 -2.82524 -0.825871 -0.676039 1.88531 2.63271 0.665502 --1.38522 -1.63296 -0.852788 -3.1225 --1.38522 -1.63296 0.81728 2.90626 -0.447304 -1.55883 -2.07338 0.826372 -0.447304 -1.55883 1.74318 -0.612848 -1.5488 1.13995 2.21468 -1.66764 -1.5488 1.13995 -2.13671 1.40802 --1.89592 1.51708 -1.98876 3.28992 --1.89592 1.51708 2.02629 -3.12452 -1.41502 -0.0385415 0.294829 1.73964 -1.41502 -0.0385415 0.168991 -1.71982 --1.62545 0.568819 2.11172 -1.00522 --1.62545 0.568819 -1.85525 1.21595 -1.49489 0.286828 0.698373 -1.89275 -1.49489 0.286828 -0.297562 1.75461 --1.92336 1.93127 -1.71004 4.2286 --1.92336 1.93127 1.70957 -4.09391 --0.712178 1.5165 0.179144 2.2847 --0.712178 1.5165 -0.413 -2.01764 --0.712178 1.5165 0.233856 -0.267062 --0.336624 0.715859 -0.616195 -0.718652 --1.1524 1.47044 0.498412 -2.34367 --1.43435 -1.08657 -1.32922 -2.13637 --1.43435 -1.08657 1.41724 1.84145 --0.568435 0.41845 -0.377831 0.926913 --0.568435 0.41845 0.85478 -0.318555 -1.47287 1.14751 2.17626 -1.52301 -1.47287 1.14751 -2.10959 1.24384 -1.59804 1.03507 2.05077 -1.82601 --1.34568 0.108048 -1.19601 0.330544 -1.80307 0.268065 -0.387484 2.36902 -1.99444 0.846552 1.87642 -2.70202 -0.0705088 -1.29508 0.770652 -1.03751 -1.38475 0.610307 -0.891635 1.31615 -1.99496 1.50732 3.2854 -2.30793 -1.99496 1.50732 -3.24194 2.15394 --1.87153 0.52202 2.5978 -1.01494 --1.87153 0.52202 -2.37312 1.1536 --1.2285 -1.72776 -0.469904 -3.15608 -1.59544 1.98651 3.94576 -1.00104 -1.59544 1.98651 -3.97896 0.850841 -0.91989 1.86284 -3.05145 -0.376869 -0.91989 1.86284 2.91178 0.192174 --1.06133 0.439117 1.29925 -0.538315 --1.06133 0.439117 -0.891119 0.994045 -1.4817 -0.283592 0.692504 1.87071 -1.4817 -0.283592 -0.284594 -1.73176 --1.49899 1.75314 -0.968136 3.46018 --1.49899 1.75314 0.938985 -3.27397 -1.26337 -1.37343 0.0252801 -0.282901 -1.42965 -1.93494 -3.70634 -0.54683 -1.42965 -1.93494 3.65579 0.711669 -0.908599 1.66373 -2.68649 -0.200178 -0.908599 1.66373 2.53915 -0.0345071 --1.88857 -0.715256 2.55117 1.40895 --1.88857 -0.715256 -2.36923 -1.57116 -1.80877 -1.28212 2.67092 2.0786 -1.80877 -1.28212 -2.60413 -1.88613 --1.91619 0.402455 2.72404 -0.792134 --1.91619 0.402455 -2.48599 0.899323 --1.73088 -0.182148 -2.08924 -0.407508 --1.68989 -1.65206 -1.44636 -3.41906 --1.68989 -1.65206 1.45075 3.23978 -1.24429 -0.153916 -0.556337 -0.0876381 -1.8258 1.51521 3.16823 -1.93782 -1.8258 1.51521 -3.1359 1.76321 --1.84194 -1.78244 -1.66167 -3.82567 --1.84194 -1.78244 1.66683 3.67342 --0.552199 1.48464 0.370363 2.06638 --0.552199 1.48464 -0.671725 -1.82072 --0.743805 -1.5027 0.118119 -2.29718 -0.47805 -1.7331 2.09082 -0.806528 -1.55483 -1.27235 2.4679 1.58424 -1.55483 -1.27235 -2.42074 -1.34123 -0.419005 -1.92736 -2.58634 1.29068 -0.804394 1.29203 -1.98524 -0.0715815 -0.804394 1.29203 1.81362 -0.307895 -0.833533 -0.870008 0.0700086 -0.581028 --0.925424 -0.95108 -0.575462 -1.6542 --0.925424 -0.95108 0.649906 1.04156 --0.925424 -0.95108 -0.0744437 0.612645 --1.48129 -1.01141 1.56859 1.7351 -0.701113 -1.87353 2.64537 -0.604437 -0.454034 0.968376 -1.338 -0.339431 -0.454034 0.968376 1.06046 -0.305468 --0.961314 1.02673 -0.00600205 -0.549166 -0.332547 0.230661 -0.726008 -0.118651 -1.23809 -1.51549 2.64086 0.784545 -1.23809 -1.51549 -2.69267 -0.530963 --0.316846 1.96125 -1.57213 -2.36274 --0.316846 1.96125 1.33367 2.44276 --1.36039 0.00727855 -1.16013 0.0260603 -0.644204 -0.246685 -0.806718 0.00524932 -0.116705 -1.6948 -1.87379 1.42539 -0.337754 1.37248 1.22513 0.515109 --1.87361 -0.862655 2.44411 1.70226 --1.87361 -0.862655 -2.29236 -1.87985 --0.0572437 -1.54273 -1.46823 1.4349 --0.0572437 -1.54273 1.05832 -1.4831 --1.48785 -1.09081 -1.42615 -2.17176 --1.48785 -1.09081 1.51776 1.8939 --0.871792 1.38319 -0.187939 2.24095 --0.871792 1.38319 0.0142249 -1.90001 --1.83287 0.0607527 -2.31638 0.136503 -1.08734 1.38574 -2.33805 0.343669 -1.08734 1.38574 2.26306 -0.651174 --1.62508 -1.18771 -1.6381 -2.43199 --1.62508 -1.18771 1.71453 2.19789 -1.6771 -1.07296 -2.06502 -1.72214 --1.80972 0.216147 2.55788 -0.407765 -1.33686 0.28297 0.686767 -1.63823 -1.33686 0.28297 -0.196248 1.47535 -1.18895 1.42339 2.42814 -0.787975 -1.18895 1.42339 -2.4798 0.505599 -0.390057 1.38252 1.34187 0.433576 -1.94012 -0.467137 1.08259 2.70251 -1.94012 -0.467137 -0.857982 -2.58993 --1.33617 -1.69803 -0.700438 -3.2025 -1.14599 -1.15617 1.94193 0.958486 -1.14599 -1.15617 -1.95261 -0.590129 --1.64195 -1.51873 -1.45288 -3.10642 --1.64195 -1.51873 1.46909 2.90683 -0.392716 -1.22235 1.12811 -0.0948239 -1.59114 -1.9602 3.88523 1.02037 -1.59114 -1.9602 -3.91746 -0.867078 --1.2971 1.57497 0.691352 -2.69907 -1.01016 1.64928 -2.75334 -0.00645625 -1.01016 1.64928 2.63436 -0.231035 -0.0473417 -1.63169 -1.70623 1.43042 -0.0473417 -1.63169 1.32958 -1.42079 -1.2334 -0.152854 0.497178 1.48169 -1.2334 -0.152854 0.0656876 -1.39468 --1.28026 -0.487158 -1.22179 -1.05124 --1.50796 0.149158 2.03196 -0.245612 --1.50796 0.149158 -1.59074 0.353861 -1.47217 -0.823848 1.60345 1.71357 -1.01244 -1.62378 -2.70927 -0.0202617 -1.01244 -1.62378 2.59177 0.264571 -1.65012 -1.37147 -2.69496 -1.47945 -1.65012 -1.37147 -0.0386895 -0.213576 --1.95197 -1.39007 -2.1973 -3.05114 --1.95197 -1.39007 2.25453 2.88683 -1.76313 1.26123 2.59674 -2.00036 -1.76313 1.26123 -2.52875 1.79837 -1.48502 1.53402 2.91206 -1.23087 -1.48502 1.53402 -2.91981 1.01248 --0.76697 -0.0673831 1.07638 0.064353 --0.090753 0.169728 -0.443382 -0.369209 --0.090753 0.169728 0.536396 -0.204419 --1.58181 -1.93279 -0.96675 -3.90701 --1.58181 -1.93279 0.935018 3.74959 -1.31567 -0.175482 -0.513132 -0.0985493 -1.65526 -1.51077 -0.0174894 -0.198022 --0.0851963 -1.75517 1.35565 -1.79564 --1.63867 -0.728867 -1.85158 -1.53543 --0.872421 -0.715857 -0.608165 -1.32101 --0.872421 -0.715857 0.901533 0.712914 -0.805473 1.52588 -2.36053 -0.251228 -0.805473 1.52588 2.17799 -0.0281091 -1.6338 -0.673676 -1.16962 -1.83353 -1.94818 -0.778723 1.71823 2.63314 -1.94818 -0.778723 -1.55241 -2.4762 --1.37258 1.77903 -0.694088 3.39279 --1.37258 1.77903 0.643587 -3.20057 -0.877828 0.906841 1.37312 -0.773894 -0.877828 0.906841 -1.42898 0.223065 --0.153978 -1.87226 -1.71842 2.01703 --0.153978 -1.87226 1.4412 -2.06574 --1.58877 -0.247557 -1.7825 -0.557307 --1.51 1.33329 -1.32423 2.64481 --1.51 1.33329 1.35655 -2.39989 -0.774833 -1.10506 1.52886 0.472123 --0.49668 0.27361 0.832845 -0.209884 --0.193643 1.7949 -1.56313 -1.94826 --0.193643 1.7949 1.26737 2.01627 -0.626664 -1.43843 1.80453 -0.143209 --1.85254 -1.90501 -1.57592 -4.1049 --1.85254 -1.90501 1.57206 3.96322 --1.98216 1.80066 -1.95789 3.98585 --1.98216 1.80066 1.97137 -3.847 --0.446877 1.32157 0.394581 -0.273478 --1.24381 1.55357 -0.658606 2.85107 --0.287789 -1.89816 -1.54108 2.22391 --0.287789 -1.89816 1.28465 -2.30488 -0.718157 -1.68119 2.32824 -0.318501 -1.28358 -1.79141 -3.27327 -0.384976 -1.28358 -1.79141 3.20758 0.579318 --1.62602 0.447623 2.16144 -0.786935 --1.62602 0.447623 -1.86639 0.972227 -1.44066 -0.0345405 0.282772 1.78081 -1.44066 -0.0345405 0.168059 -1.76345 -0.753049 -1.79092 -2.75072 0.593134 -0.753049 -1.79092 2.56655 -0.40152 --0.603987 0.847315 -0.238892 1.35015 --0.603987 0.847315 0.638157 -0.516189 --0.908665 1.62767 -0.0109715 2.66173 --0.908665 1.62767 -0.143731 -2.41738 --0.551773 -1.40109 0.279698 -1.9551 --0.551773 -1.40109 -0.604715 1.67716 -1.29552 0.237445 0.617252 -1.57628 -1.29552 0.237445 -0.0954445 1.43846 --0.244875 1.79453 -1.48419 -2.00854 --0.244875 1.79453 1.19484 2.09168 --1.93795 1.97853 1.69654 -4.21854 --0.74594 -1.13253 -0.217064 -1.78283 --0.688164 0.41861 -0.482181 0.953299 --0.688164 0.41861 0.938141 -0.356051 -1.23204 1.11168 1.93845 -1.13307 -1.23204 1.11168 -1.91054 0.775743 -1.48524 -0.673657 1.35086 1.79891 -1.48524 -0.673657 -1.09253 -1.50756 -1.79156 -0.977096 2.04717 2.2299 -1.79156 -0.977096 -1.91679 -2.02639 -1.19687 1.45193 2.48608 -0.773897 -1.19687 1.45193 -2.5397 0.499904 --0.62903 -0.91649 -0.35072 0.901019 --0.62903 -0.91649 0.575502 0.53927 --1.6942 -0.111535 2.3574 0.200501 --0.558199 -1.80076 0.743041 -2.5306 --0.558199 -1.80076 -0.973648 2.37437 -1.19845 1.1242 1.93289 -1.06866 -1.14704 -0.883912 -1.43708 -0.691329 -0.203389 1.92369 -2.29997 -1.60875 -0.203389 1.92369 2.03648 1.55448 -0.203389 1.92369 0.26348 0.0542674 --0.457589 -1.11176 0.106948 -1.5225 --0.457589 -1.11176 -0.591704 1.16213 -0.211825 1.30285 0.864527 0.750992 -0.125869 -0.470286 0.652863 0.402949 --1.46847 -1.68823 -0.965917 -3.30346 --1.46847 -1.68823 0.938358 3.10494 -0.837763 0.0324623 0.34006 0.994122 --1.32508 0.0525735 1.75412 -0.0778807 --1.32508 0.0525735 -1.08371 0.212828 --1.32508 0.0525735 -0.670412 -0.134947 --1.71502 -0.380271 -2.05377 -0.83583 --1.47186 -0.51248 1.86798 0.837867 --1.47186 -0.51248 -1.5621 -1.09429 -1.24974 0.66023 -0.945611 0.950537 -1.26041 -1.51645 2.66483 0.824234 -1.26041 -1.51645 -2.71176 -0.573546 -1.39784 -0.215849 -0.119382 -1.61848 -1.72207 -1.39386 2.83465 1.81978 -1.72207 -1.39386 -2.79297 -1.6204 --1.65577 -1.99466 -1.06165 -4.11135 --1.65577 -1.99466 1.03424 3.9649 -0.339676 -1.35267 1.18752 -0.472158 -0.66631 1.57596 -2.31462 -0.518864 --1.58883 -1.84542 1.04067 3.56481 -0.870308 1.31098 -2.06023 0.020703 -0.870308 1.31098 1.91589 -0.383942 --1.53638 -1.14162 -1.49113 -2.29348 --1.53638 -1.14162 1.57232 2.03367 -1.23618 1.49155 2.59564 -0.804915 -1.23618 1.49155 -2.64495 0.545606 --0.699241 -1.02774 -0.196256 1.03934 --1.8569 0.670055 2.50842 -1.30319 --1.8569 0.670055 -2.3131 1.46706 --0.471533 1.31154 0.284913 1.75895 --0.471533 1.31154 -0.673646 -1.472 --0.896788 1.21337 0.219022 -1.56475 -1.20279 0.592293 1.12267 -1.37955 -1.20279 0.592293 -0.716759 0.817447 --1.20933 -1.08855 -0.0522414 0.378422 --0.766799 1.20753 -0.186237 1.89923 --1.85811 1.73654 -1.73595 3.73898 --1.85811 1.73654 1.7466 -3.58463 -1.61576 -0.959062 -1.78417 -1.65009 -1.05481 0.987103 1.6127 -0.952807 -1.05481 0.987103 -1.60655 0.493988 --0.666959 1.29354 0.0219678 1.92835 --0.666959 1.29354 -0.323116 -1.56432 -0.497832 -0.00826057 -0.740794 0.00209717 -1.15408 -0.846777 -0.108378 -0.479007 --0.788325 -0.160312 -0.575165 -0.742218 --1.07138 -1.05961 -0.729596 -1.89423 -1.28013 -1.94048 -3.56921 -0.233693 -1.28013 -1.94048 3.49682 0.403546 -1.86403 -0.212971 0.567263 2.57261 -1.86403 -0.212971 -0.292322 -2.51137 -0.0147513 -0.621035 -0.79426 0.498419 --0.221129 -0.999724 0.606515 0.288584 -1.19874 1.65464 0.0737006 0.226334 --1.18911 -1.6619 -0.461031 -2.99751 --1.18911 -1.6619 0.382675 2.7696 -1.2598 -1.59673 -2.86792 -0.508427 -1.2598 -1.59673 2.81212 0.74195 --1.39181 -1.89894 -0.613257 -3.64763 --1.18998 -0.256384 1.53168 0.347315 --1.18998 -0.256384 -1.0229 -0.707267 --0.588506 0.0180431 0.91878 -0.0151405 -0.245325 -1.47082 0.457934 -0.139853 --1.44303 0.0962521 -1.42545 0.247445 -0.350793 0.818438 -1.13184 -0.359397 --1.29476 -1.00105 -1.12401 -1.9155 --1.29476 -1.00105 1.22849 1.55928 --0.215907 1.98688 -1.76863 -2.27522 --0.215907 1.98688 1.52573 2.33005 -0.0890874 -0.792842 0.741902 0.315764 -1.1522 -0.587812 -0.763082 -0.610521 -1.1522 -0.587812 -0.335619 -0.698127 --1.17942 0.387746 1.47481 -0.522645 --1.78379 -1.2047 -1.95011 -2.55502 --1.78379 -1.2047 2.03131 2.35562 --1.50799 1.29257 -1.34717 2.56534 --1.50799 1.29257 1.38802 -2.31468 --0.866797 1.35157 0.0320034 -1.83138 -1.89108 1.88803 4.03536 -1.74588 --0.119546 0.906373 -0.86895 -0.77841 --0.119546 0.906373 0.206025 1.0652 --1.71396 -0.63747 2.24475 1.17351 --1.71396 -0.63747 -2.02259 -1.36855 -1.68582 0.12568 0.407028 -2.22626 -1.68582 0.12568 -0.0676735 2.17932 -0.130229 -1.19315 -1.32192 0.84497 -0.130229 -1.19315 0.621142 -0.894433 -0.130229 -1.19315 0.700781 0.0494636 -1.46 -0.673345 1.34121 1.75613 --0.229209 -0.648054 -0.0247802 -0.973844 -0.946097 -1.47362 2.25856 0.322121 --0.0881579 0.821501 -0.845104 -0.691432 --1.23814 0.51391 1.49963 -0.727198 --0.900721 0.921503 0.666117 -0.958642 --1.49749 1.43045 -1.23185 2.82344 --1.49749 1.43045 1.24374 -2.58974 -1.6876 1.36185 2.74357 -1.77512 --0.567877 -1.77427 0.694434 -2.50241 --0.567877 -1.77427 -0.927716 2.33843 --1.98862 -0.801573 2.71587 1.63623 --1.98862 -0.801573 -2.56013 -1.78676 --0.511411 -1.95551 1.02198 -2.71053 --0.511411 -1.95551 -1.23411 2.59186 --1.0961 -1.70106 -0.256231 -2.97699 --1.0961 -1.70106 0.153695 2.75388 --0.907153 -1.862 0.247903 -3.05482 -1.99893 1.34535 -2.8711 2.27527 --1.06786 0.878973 0.963045 -1.12463 --0.0598463 -0.452568 0.651481 0.329022 --0.148126 1.52861 -1.33156 -1.5124 --0.148126 1.52861 0.931243 1.60464 -1.43187 1.39766 -0.00456702 0.24847 --0.105141 -0.711393 -0.7723 0.622412 --0.105141 -0.711393 0.0844524 -0.948604 -1.71907 0.395745 -0.618905 2.14773 --1.86771 1.62482 -1.84697 3.50305 --1.86771 1.62482 1.86984 -3.34141 -1.75551 -0.817482 -1.54518 -2.02883 -0.556483 -1.35272 1.57455 -0.124671 -0.3765 -1.76157 -2.28489 1.15228 -1.57042 1.58216 3.08532 -1.35524 -1.57042 1.58216 -3.08731 1.15455 --0.585589 1.8194 0.724582 2.59452 --0.585589 1.8194 -0.94593 -2.43754 -1.62719 0.230105 0.601038 -2.12405 -1.62719 0.230105 -0.249278 2.03146 -1.52306 0.335221 0.782075 -1.93785 --1.70768 0.327415 2.34546 -0.594164 --1.70768 0.327415 -2.03951 0.723332 -1.42894 1.05557 -1.89419 1.20137 -1.34273 1.51459 2.74164 -0.978015 -1.34273 1.51459 -2.7713 0.737359 -0.471719 1.41018 1.52843 0.343737 --0.750085 0.693693 -0.471168 1.2514 -1.21106 1.34482 2.31262 -0.900932 -1.21106 1.34482 -2.34583 0.601677 -1.07257 -0.687156 -1.05678 -0.530282 --1.15053 1.40525 0.558222 -2.20979 --1.07486 0.0013835 -0.708518 0.510128 -1.82352 -1.51608 3.1682 1.93231 -1.82352 -1.51608 -3.13616 -1.75746 --1.199 -0.890882 -1.01293 -1.69047 -0.0798411 0.660287 -0.85663 -0.479891 -0.0798411 0.660287 0.142087 0.836308 -0.469383 1.75303 -2.3801 -1.0048 -1.69515 0.497094 1.09491 -2.22166 -1.69515 0.497094 -0.82027 2.05218 -1.0576 1.24539 2.00546 -0.739289 -1.0576 1.24539 -2.06654 0.380669 --1.07376 1.50818 0.302401 -2.34291 -1.82649 -0.266428 0.671799 2.49791 -1.82649 -0.266428 -0.391685 -2.41783 -0.271 1.92107 -2.3864 -1.50661 -0.271 1.92107 2.1286 1.43396 -1.31951 0.122888 0.0694323 1.53654 -0.116131 1.51728 1.21605 1.16251 -0.128462 1.93139 1.94217 1.69314 --0.705307 -0.522927 -0.476426 -1.05651 --0.508892 1.77438 0.783773 2.42691 --0.508892 1.77438 -1.03032 -2.27447 -0.564636 -1.99326 -2.87314 1.13903 -0.564636 -1.99326 2.67388 -1.01568 --0.219746 1.29778 -1.02406 -1.27032 --0.219746 1.29778 0.540247 1.4578 --0.81043 -1.72667 -0.433613 2.50802 --1.73782 -1.9498 -1.28239 -4.09525 --1.73782 -1.9498 1.26564 3.94946 --1.72262 -0.355156 2.36571 0.649007 --1.72262 -0.355156 -2.07076 -0.782797 --1.22754 -1.65429 0.469098 2.79295 --1.9508 0.604326 2.72606 -1.21028 --1.9508 0.604326 -2.52975 1.34647 -1.40039 1.40214 2.58543 -1.18854 -1.40039 1.40214 -2.58719 0.935408 --0.0446255 -0.355213 -0.603694 0.401483 --0.0446255 -0.355213 -0.00921282 -0.716498 -1.60039 1.28492 2.52621 -1.66206 -1.60039 1.28492 -2.47643 1.43 -1.28568 0.70109 -0.257073 0.432252 --0.99043 -0.872619 0.856894 1.02359 --0.99043 -0.872619 -0.152208 0.552238 --0.0235513 1.53808 1.08992 1.42414 -1.61604 -1.43583 2.83372 1.57365 -1.61604 -1.43583 -2.80947 -1.3614 -1.99682 1.12865 2.47031 -2.5678 -1.99682 1.12865 -2.37224 2.40439 -0.888785 1.59349 2.39341 -0.0852852 -1.18109 -0.462733 -0.324499 -1.03735 -0.679446 1.5937 2.12798 0.268595 --1.78759 -1.74023 -1.57979 -3.68758 --1.78759 -1.74023 1.58432 3.52681 --1.90923 1.40681 -2.09337 3.05982 --1.90923 1.40681 2.14639 -2.89023 --1.26416 0.569554 1.50773 -0.823755 --1.26416 0.569554 -1.19457 1.18661 --1.78448 -0.842608 2.27455 1.61085 --1.78448 -0.842608 -2.11285 -1.80756 --0.166543 0.00694955 0.553079 -0.00796161 -0.499881 1.39578 -1.89823 -0.597053 -1.76916 -1.30326 -2.62536 -1.7847 --1.40961 -1.61565 0.88535 2.89393 --0.13701 1.11286 -0.984182 -0.989424 --0.13701 1.11286 0.390413 1.20819 --0.01336 1.87293 -1.92755 -1.83695 --0.01336 1.87293 1.64287 1.84452 --0.389151 1.54968 0.33448 -0.177232 -1.04283 -1.05963 0.0214153 -0.432195 -1.18787 0.608883 -0.785592 0.76152 -0.912636 -1.18348 -1.87855 -0.168067 -0.912636 -1.18348 1.77274 0.579543 --0.272916 -0.115092 0.667004 0.0997748 --0.272916 -0.115092 -0.266774 -0.616611 --0.272916 -0.115092 -0.40023 0.516836 -0.523011 1.13244 -1.57234 -0.360808 -0.523011 1.13244 1.2654 -0.161842 --1.47804 -0.000810463 -1.49725 -0.00204281 -0.702208 1.84513 -2.78715 -0.737094 -0.702208 1.84513 2.59584 0.564315 --0.197051 1.26375 0.519349 1.39803 --0.317424 -0.428828 0.722377 0.286156 --1.03566 1.66007 0.0744339 -2.60962 --0.874138 -1.04694 0.364559 1.12787 -1.69283 1.93784 3.94513 -1.26141 -1.69283 1.93784 -3.96546 1.11194 --0.994443 1.21302 -0.511726 2.08057 --0.994443 1.21302 0.430265 -1.66199 -0.729174 -1.64959 -2.49224 0.489422 -0.729174 -1.64959 2.28835 -0.25809 -0.317915 1.29618 1.00586 0.377197 -0.317915 1.29618 0.601934 0.361491 --0.575174 1.40113 0.249109 1.97988 -1.97646 -0.634645 1.43223 2.73831 -1.97646 -0.634645 -1.24223 -2.60371 --0.980885 -0.850508 -0.700769 -1.54057 -0.730735 -1.51271 2.06174 -0.0773289 -0.774082 0.825193 1.20304 -0.711364 -0.774082 0.825193 -1.29427 0.0942353 --0.933629 -1.59405 -0.0614375 2.37629 --0.0968597 0.700557 -0.771971 -0.610898 -1.20221 1.53381 -2.69989 0.447669 -1.20221 1.53381 2.6377 -0.701056 --1.89356 -0.390194 -2.43761 -0.870066 --0.066375 0.336196 0.610911 -0.300161 -1.33645 0.761677 -0.214492 0.387455 -0.698985 1.94167 2.7659 0.700436 -0.297257 -1.28432 0.878082 -0.384173 -0.297257 -1.28432 0.69698 -0.367763 -1.8424 1.90053 4.01541 -1.62563 -1.8424 1.90053 -4.01993 1.4831 -0.461853 -1.4391 1.56009 -0.406342 -0.461853 -1.4391 0.36227 -0.282072 --0.849916 -1.10003 -0.380283 -1.81411 --0.849916 -1.10003 0.16342 0.571825 -1.93249 -1.00227 2.1707 2.50178 -1.93249 -1.00227 -2.04878 -2.32845 -1.06883 -0.998513 1.6397 0.964754 -1.06883 -0.998513 -1.63141 -0.515458 --0.636684 1.10903 0.402876 -0.467375 --1.74423 -1.20897 -1.86611 -2.54172 --1.74423 -1.20897 1.94479 2.33467 --0.869243 0.052037 -0.607007 0.652533 --0.869243 0.052037 -0.572117 -0.598259 --0.990572 -1.49032 0.152686 2.22597 --1.85577 1.38439 -1.99305 2.97665 --1.85577 1.38439 2.04666 -2.79809 --0.148851 -1.83601 -1.68088 1.95577 --0.788201 -1.41173 -0.176935 1.88428 -0.739394 -1.6284 -2.46764 0.452365 -0.739394 -1.6284 2.26552 -0.213017 --1.04666 -0.666327 -0.852317 -1.30373 --1.04666 -0.666327 1.1388 0.811301 --0.473701 -1.7829 0.25227 0.143179 -1.40476 1.50008 2.77288 -1.10825 -1.40476 1.50008 -2.78909 0.873325 --0.777992 1.76788 0.355761 2.7472 --0.777992 1.76788 -0.538242 -2.5518 --0.139603 1.20387 -1.04852 -1.09265 --0.139603 1.20387 0.494089 1.27729 --1.57081 -1.8854 -0.99015 -3.7976 --1.57081 -1.8854 0.960161 3.63397 -1.93862 -1.26611 2.72555 2.35968 -1.93862 -1.26611 -2.65082 -2.18844 --1.74072 -0.199933 2.43157 0.366893 -1.33543 -1.02739 1.87219 1.36474 -1.33543 -1.02739 -1.79064 -1.02152 -1.26281 -0.620858 -0.841539 -1.00225 -1.91376 -0.51144 1.16689 2.64098 -1.91376 -0.51144 -0.944557 -2.51541 -1.85146 -0.396173 -0.672285 -2.42528 -1.49836 0.92999 1.80261 -1.70494 -1.49836 0.92999 -1.66194 1.41081 -0.398159 0.710259 0.86384 -0.467824 -0.674133 -0.522457 0.844988 0.771661 -0.674133 -0.522457 -0.967563 -0.0112195 -0.674133 -0.522457 0.122575 -0.760442 --1.75562 1.86466 -1.40093 3.92767 --1.75562 1.86466 1.39186 -3.77531 -1.5102 0.178406 0.514599 -1.91711 --0.935582 1.00447 -0.560152 1.73461 -1.80628 -0.408798 0.946436 2.44673 -1.80628 -0.408798 -0.681794 -2.32478 -1.50919 -1.94375 -3.80255 -0.706404 -1.86724 0.838447 1.80701 -2.44556 -1.86724 0.838447 -1.64714 2.26619 --1.58317 1.02337 1.75692 -1.83605 --1.33314 -0.453654 1.6705 0.682099 --0.595438 1.90364 0.818095 2.74039 --0.595438 1.90364 -1.02384 -2.59895 --1.57693 -1.07046 -1.60572 -2.17767 --1.57693 -1.07046 1.70907 1.92423 --0.808286 1.57363 -0.284782 -2.2147 -1.09529 -1.79044 -3.09357 -0.0199095 -1.09529 -1.79044 2.99142 0.221708 -1.83206 -0.606603 -1.118 -2.29704 -0.359265 -1.94423 2.29516 -1.31266 -0.0977849 -1.83362 -2.03103 1.63388 -0.0977849 -1.83362 1.73431 -1.60621 --0.777831 -1.23687 -0.177418 -1.94843 -1.82424 1.55888 3.25929 -1.89849 -1.82424 1.55888 -3.23259 1.72697 --1.36361 1.57174 0.832148 -2.75745 -1.65695 -0.241745 0.622047 2.17804 -1.65695 -0.241745 -0.283274 -2.08487 -0.367726 1.31053 1.17063 0.324908 -0.0983342 -0.397249 -0.699185 0.330034 --0.122263 1.66474 -1.51565 -1.67383 --0.122263 1.66474 1.16693 1.73338 -0.891083 -1.9859 3.10392 -0.404167 -0.0722672 -0.183404 -0.540776 0.226027 -0.0722672 -0.183404 0.465781 0.347721 -0.0722672 -0.183404 0.0749942 -0.573748 --1.85938 -1.32507 -2.03836 -2.85246 --1.85938 -1.32507 2.10142 2.67153 -0.232258 -1.87015 -2.26147 1.49595 -0.232258 -1.87015 1.98541 -1.42867 --1.65894 0.893102 -1.84145 1.86602 --1.65894 0.893102 1.99568 -1.63397 -1.69592 1.72996 3.50568 -1.475 -1.69592 1.72996 -3.50929 1.30491 --1.93437 -0.0659387 -2.54478 -0.149018 --1.0096 1.11361 -0.602369 1.93934 --1.0096 1.11361 0.572179 -1.47148 --1.0096 1.11361 0.0301903 -0.467857 -1.24937 -1.43234 2.50222 0.88612 -1.24937 -1.43234 -2.5403 -0.614826 -0.0636615 -1.4509 1.03968 -1.18232 -0.394758 -1.81686 -2.38823 1.19149 -0.394758 -1.81686 2.12135 -1.0701 --1.56581 -0.801488 -1.69037 -1.65691 --1.56581 -0.801488 1.87673 1.39999 --1.56581 -0.801488 -0.186368 0.256916 -1.33046 -0.820096 1.52746 1.47827 --1.52033 1.84003 -0.92998 3.65582 --1.52033 1.84003 0.896854 -3.48304 --1.52033 1.84003 0.0331263 -0.172778 --0.690269 -0.0481122 1.00632 0.0432166 --1.47441 0.954542 -1.46443 1.91218 --1.47441 0.954542 1.59956 -1.62197 -0.442085 1.81418 2.18301 0.983068 --0.305669 -1.09065 0.544819 0.295002 -1.849 -1.65409 3.48392 1.8699 -1.849 -1.65409 -3.46617 -1.70851 --1.66041 0.639223 2.14315 -1.15117 --1.66041 0.639223 -1.91406 1.36198 -1.00293 -0.524552 -0.866139 -0.308813 -0.840445 1.09719 -1.70462 0.0980745 -0.840445 1.09719 1.58364 -0.564125 --1.94062 1.14069 -2.3162 2.50273 --1.37249 -1.68552 -0.781406 -3.21191 --1.37249 -1.68552 0.738402 3.00372 -0.173691 -1.52486 1.29949 -1.0666 -0.609186 -1.99164 2.73324 -0.932621 --0.217213 0.541808 -0.0644074 0.896521 --0.217213 0.541808 -0.627391 -0.57635 --0.765767 0.94749 0.522021 -0.716171 --1.50049 -1.92187 0.768469 3.64006 -0.566942 1.54926 -2.17894 -0.644286 -0.566942 1.54926 1.89938 0.395506 -1.41828 1.52064 2.82451 -1.11478 -0.623198 1.46435 1.84032 0.184686 --0.98254 -1.40325 -0.342598 -2.36897 --0.98254 -1.40325 0.219903 2.04301 -0.485553 -1.95206 -2.70835 1.2167 --0.619847 1.42991 0.219341 2.06523 --0.619847 1.42991 -0.507968 -1.78079 --1.26074 0.127427 -1.04226 0.453469 -1.83133 -1.91231 4.03045 1.5895 -1.83133 -1.91231 -4.03671 -1.44713 -1.3671 0.896803 1.67296 -1.49754 -0.413062 -1.40738 1.42608 -0.436925 -1.27772 0.479505 -0.49613 1.18832 -1.34262 1.39373 2.51878 -1.08984 -1.34262 1.39373 -2.5302 0.825131 --0.331637 0.251166 -0.473173 -0.539931 -1.31995 -1.35122 2.42192 1.08663 -1.31995 -1.35122 -2.43043 -0.808957 -1.47015 -0.95579 -1.70364 -1.33772 -1.79452 0.907392 -1.76376 2.06955 --1.51063 -0.746649 -1.60082 -1.53803 --1.51063 -0.746649 1.81002 1.26532 -1.70368 1.13875 2.31392 -1.96384 -1.70368 1.13875 -2.22377 1.7425 -0.307468 -1.53208 -1.88982 0.987334 -0.307468 -1.53208 1.49152 -0.82558 --0.696311 -1.41096 0.0941878 -2.11674 --0.696311 -1.41096 -0.352658 1.80713 --0.696311 -1.41096 0.25847 0.309604 -0.493891 -1.83251 -2.53004 1.05917 -0.493891 -1.83251 2.28778 -0.91732 --0.0341419 1.24762 -1.20392 -1.05416 --0.0341419 1.24762 0.628338 1.17029 --1.78237 -1.58072 -1.69764 -3.3424 -0.965987 -0.815127 1.31649 0.947963 -0.965987 -0.815127 -1.29765 -0.370989 --1.28862 0.771825 1.41066 -1.15702 -1.99004 -0.00598114 0.137775 2.81642 -1.99004 -0.00598114 0.112733 -2.81495 -1.99004 -0.00598114 -0.250508 -0.00146485 -0.533071 1.04672 -1.47367 -0.294495 -0.533071 1.04672 1.20328 -0.277779 --1.53225 0.477019 1.98571 -0.803114 --1.53225 0.477019 -1.6786 1.02797 --1.02122 -1.43619 -0.376636 -2.45556 --1.59997 0.247226 -1.80652 0.555583 -1.5698 0.387541 0.877203 -2.01353 -1.5698 0.387541 -0.532248 1.84716 --0.363326 -1.81635 -1.32119 2.18132 --0.363326 -1.81635 1.05583 -2.29264 --1.93861 -0.256745 2.80114 0.507837 --1.93861 -0.256745 -2.54779 -0.578179 --1.47851 1.30229 1.31936 -2.3087 -0.657641 1.61609 -2.369 -0.571013 -0.657641 1.61609 2.13647 0.335339 --0.537188 1.94502 0.966515 2.72895 --0.537188 1.94502 -1.17613 -2.60423 --0.647257 -1.25636 -0.338293 1.48236 -0.986757 -1.43654 -2.35567 -0.127577 -0.986757 -1.43654 2.24228 0.430609 -1.89487 0.596836 1.3335 -2.5833 -1.89487 0.596836 -1.12394 2.43895 --1.52783 -1.53044 -1.21514 -3.04184 --1.52783 -1.53044 1.21547 2.82732 -1.49184 0.167135 -0.0781968 1.805 --1.31906 -0.794816 -1.24501 -1.5728 --1.31906 -0.794816 1.44376 1.21831 -0.788536 1.56312 2.21852 0.046573 --1.89906 -1.47196 -2.02738 -3.19418 --1.89906 -1.47196 2.07093 3.02657 --1.89906 -1.47196 -0.0435501 0.167614 -1.86699 -0.243448 -0.356409 -2.50884 -1.02352 -1.60003 -2.67602 -0.0609233 -1.02352 -1.60003 2.56256 0.311308 -1.28351 1.60252 2.84727 -0.780217 -1.28351 1.60252 -2.89877 0.550204 --0.386722 -0.70709 -0.112355 -1.09878 --0.991773 1.90691 0.150623 3.23124 --0.991773 1.90691 -0.275847 -3.05443 -1.786 -1.25624 -2.53219 -1.85208 -1.97705 -0.0782096 0.289473 2.79642 -1.97705 -0.0782096 -0.0368074 -2.77696 --0.519205 1.72622 0.70654 2.36852 --0.519205 1.72622 -0.960802 -2.20287 --1.04031 1.47297 -0.375845 2.53285 --1.01827 -1.24965 0.442403 1.76269 -0.222777 1.95229 -2.36782 -1.61928 -0.222777 1.95229 2.11352 1.56218 --1.72665 -0.51141 2.32242 0.940974 --1.72665 -0.51141 -2.06808 -1.1113 -0.36953 -1.09862 -1.42521 0.517106 -0.954223 -1.98977 -3.32113 0.450536 -0.954223 -1.98977 3.1932 -0.289902 -1.1898 1.34979 0.0397418 0.301697 -1.55931 -0.637344 1.31298 1.93982 -1.55931 -0.637344 -1.05209 -1.68994 --1.29856 -1.62575 0.644111 2.8054 --1.71369 -0.813439 2.15141 1.51218 --1.71369 -0.813439 -1.97772 -1.72521 -0.000230225 0.089985 0.000924156 0.448112 -0.000230225 0.089985 -0.388545 -0.224194 -0.000230225 0.089985 0.387621 -0.223918 --0.133425 -1.44213 0.82158 -1.48667 -1.55294 1.91513 3.74934 -0.988345 -1.55294 1.91513 -3.78328 0.827694 --1.17162 -1.16247 -0.828157 -2.11912 -0.276339 1.25347 0.700417 0.568041 -0.221862 0.101481 0.39086 -0.497394 -0.221862 0.101481 0.224409 0.579391 -1.18344 -0.188166 -0.594106 -0.107627 --0.703118 -1.72233 -0.629661 2.38839 -1.4249 -0.201279 0.557339 1.77662 -1.4249 -0.201279 -0.108104 -1.67228 -1.4249 -0.201279 -0.449235 -0.104338 --0.641097 -0.416375 -0.440494 -0.942177 -1.38129 0.268497 0.665433 -1.70781 -1.38129 0.268497 -0.200223 1.56023 --1.60432 0.333935 2.15866 -0.578973 --1.60432 0.333935 -1.82147 0.738554 -1.88566 0.503585 -0.916297 2.45735 --0.325838 1.14628 0.51376 -0.285733 --0.452274 -1.80045 0.902759 -2.39109 --0.452274 -1.80045 -1.15554 2.25615 -1.78141 1.15647 2.39822 -2.1065 -1.78141 1.15647 -2.30852 1.90299 --1.62328 -1.70394 -1.26457 -3.47056 --1.62328 -1.70394 1.25607 3.28984 --1.74809 0.717978 2.27072 -1.34504 --1.74809 0.717978 -2.07447 1.54069 --1.69975 1.08347 -0.104564 -0.221448 -1.10623 -0.806755 -1.28183 -0.619576 -1.72689 -0.469532 1.04959 2.28608 --1.12476 0.727751 1.19357 -0.958177 --1.2989 0.750806 -1.22292 1.49274 -1.3943 -0.130192 0.44565 1.7216 -1.3943 -0.130192 0.0257113 -1.65294 --0.992878 -1.31714 0.323377 1.87705 -0.843294 1.40771 0.164516 0.325107 --1.91419 -1.90711 -1.71147 -4.16588 --1.91419 -1.90711 1.71207 4.02883 -0.345156 1.49564 0.403866 0.197455 -0.318796 1.42323 1.29744 0.64175 -0.693011 -1.46741 -2.1708 0.379432 -0.693011 -1.46741 1.93981 -0.0785529 --0.107656 1.78872 -1.68362 -1.83484 --0.107656 1.78872 1.37728 1.87647 --1.6363 -0.991678 -1.75764 -2.05147 --1.6363 -0.991678 1.88452 1.81211 --0.578386 1.03974 -0.0832477 1.54313 --0.578386 1.03974 -0.399308 -1.08142 -1.26678 0.243574 0.626389 -1.53385 -1.26678 0.243574 -0.0862018 1.39034 --0.980576 1.18959 -0.507277 2.03492 --0.980576 1.18959 0.425607 -1.59796 --1.4228 0.987229 1.47713 -1.6428 --0.277146 -1.72937 -1.35922 1.94482 --0.277146 -1.72937 1.05564 -2.0474 --1.27884 -1.19346 -0.990747 -2.23871 --1.65707 1.6172 1.41168 -3.1332 -1.70129 -1.85597 3.77805 1.36327 -1.70129 -1.85597 -3.79184 -1.20634 -1.88953 -0.279815 0.700761 2.62176 -1.88953 -0.279815 -0.439234 -2.54512 -1.81077 1.58456 3.30234 -1.84827 -1.81077 1.58456 -3.27979 1.67715 --0.847631 1.14171 -0.347801 1.87032 --1.67349 -0.174775 2.31323 0.311593 --1.67349 -0.174775 -1.96228 -0.392802 -1.07977 -1.12136 -1.85656 -0.48596 -1.07977 -1.12136 0.0243078 -0.397993 --1.98877 -0.443174 2.85871 0.894533 --1.98877 -0.443174 -2.64131 -0.998312 -0.497864 -1.12393 -1.54493 0.38608 -0.497864 -1.12393 1.22365 0.15128 --0.444281 -1.66131 0.73146 -2.17935 --0.444281 -1.66131 -1.01931 2.01551 -1.06312 1.22111 1.97232 -0.770526 -1.06312 1.22111 -2.02648 0.404499 -1.86975 -1.27714 2.70257 2.20786 -1.86975 -1.27714 -2.63203 -2.02568 -1.42486 0.403255 -0.476556 1.55061 -0.291659 1.00224 0.360932 0.731924 -1.52031 -0.348003 0.803685 1.9321 -1.52031 -0.348003 -0.427781 -1.77039 --1.97022 -1.07262 -2.41354 -2.36968 --1.97022 -1.07262 2.52124 2.20345 --1.68189 1.24353 -1.71938 2.57615 --1.68189 1.24353 1.78747 -2.35832 -0.692479 -1.7699 -2.65167 0.671875 -0.692479 -1.7699 2.44909 -0.48095 -0.10505 1.46442 -1.58138 -1.15819 -0.10505 1.46442 1.1078 1.12259 -1.65349 1.67298 3.34692 -1.44023 -1.65349 1.67298 -3.34934 1.25985 --0.842803 -0.407417 -0.63373 -0.960104 --1.92387 1.8608 -1.7747 4.0707 --1.92387 1.8608 1.77947 -3.9311 -1.96932 -0.761236 -1.52291 -2.53188 -0.502301 -1.29363 1.4081 -0.106147 --0.250084 0.251217 0.672863 -0.201794 --0.250084 0.251217 -0.479833 -0.500177 --0.297287 1.71877 -1.31611 -1.95083 --0.297287 1.71877 1.01286 2.06129 -1.38792 -0.602389 1.19925 1.66103 -1.91966 1.07039 2.30467 -2.43894 --0.696615 1.1031 -0.176054 1.70783 -0.434776 -0.554444 -0.948333 0.178017 -0.434776 -0.554444 0.77888 0.562766 --0.671747 -1.02053 -0.205478 -1.58858 --0.671747 -1.02053 0.4551 0.551688 -1.71009 0.211876 0.5665 -2.27598 -1.71009 0.211876 -0.243383 2.20003 -1.18488 -0.714017 -1.07968 -0.781776 -1.73706 -0.454566 -0.273699 -0.147899 --1.44416 -1.68878 -0.91758 -3.28288 --1.44416 -1.68878 0.88621 3.08204 -0.929018 -1.91036 -3.14741 0.410568 -0.929018 -1.91036 3.01149 -0.235596 -0.907711 -1.90835 2.98052 -0.272674 --0.941662 -1.88251 0.21141 -3.1304 --0.941662 -1.88251 -0.34782 2.95043 --0.949871 1.48221 0.0791198 -2.17068 --0.40185 1.99715 -1.47471 -2.52946 --0.40185 1.99715 1.25408 2.62231 -0.381506 1.89366 2.23776 1.20164 -0.381506 1.89366 0.249772 0.10435 -0.0447125 -0.531294 -0.755654 0.431211 --0.701211 0.973499 -0.224133 -0.942971 --1.61184 1.05767 -0.108351 -0.244471 -0.712636 0.383682 0.725346 -0.851626 --1.00264 0.436715 1.23031 -0.507854 --1.00264 0.436715 -0.815509 0.993991 -1.3469 -1.79198 -3.33289 -0.511916 -1.3469 -1.79198 3.27789 0.70245 -0.855734 -1.55883 2.29459 0.0712263 --0.570206 -0.84398 -0.205505 -1.32715 --0.570206 -0.84398 -0.432733 0.838231 --0.972344 1.44268 0.161802 -2.11289 --1.59684 0.392466 -1.80772 0.859439 -1.55351 0.688323 1.4009 -1.91224 -1.55351 0.688323 -1.16064 1.65057 --1.91637 1.16466 -2.25164 2.54189 --1.91637 1.16466 2.34335 -2.36606 --1.48855 1.5186 -1.14746 2.98772 --1.48855 1.5186 1.14378 -2.76575 -0.11629 -1.63586 1.42447 -1.30901 --0.841812 -1.91597 0.424415 -3.07072 --0.841812 -1.91597 -0.579551 2.90364 --1.17021 1.48704 -0.584882 2.66943 -1.4589 -0.918416 -1.61813 -1.33139 --0.649102 -0.394423 0.916874 0.325173 --0.0263537 1.79523 0.30916 -0.0141437 --0.992966 0.991546 0.699687 -1.21313 --0.241147 1.23347 -0.947913 -1.2042 --0.241147 1.23347 0.443057 1.42304 --0.530021 -1.60228 -0.816837 2.00174 -1.15747 -0.263179 0.651988 1.37966 --0.755673 -0.538618 -0.411913 0.606194 --1.00954 1.58374 -0.222072 2.68935 --1.95731 1.0106 -2.41352 2.22933 --1.95731 1.0106 2.53252 -2.06205 --1.3267 -0.00200382 -1.01244 -0.0117716 --1.3267 -0.00200382 -0.745372 0.00880049 -0.394786 1.97239 -2.6256 -1.38568 -1.90186 1.16666 2.49379 -2.34593 -0.584396 -0.680856 0.945129 0.618737 --0.850976 -0.738092 -0.286815 0.62927 --0.942941 1.7178 0.0263672 2.84776 --0.942941 1.7178 -0.168499 -2.62858 -0.148199 0.137579 0.156185 0.561216 --1.89926 1.63351 -1.9091 3.54654 --1.89926 1.63351 1.93319 -3.38896 -0.304186 -1.30014 0.969284 -0.428658 -0.304186 -1.30014 0.630548 -0.329786 -1.7889 -1.56289 3.23801 1.8205 -1.7889 -1.56289 -3.21463 -1.64497 -1.47657 1.08294 -1.97634 1.28692 -1.9721 0.317313 0.781683 -2.78634 -1.9721 0.317313 -0.544001 2.70965 -0.317848 1.45158 1.35277 0.687833 -1.32868 1.94914 -3.63564 0.323697 -1.32868 1.94914 3.5703 -0.490699 -1.9228 -0.102378 0.343059 2.68674 -1.9228 -0.102378 -0.0772566 -2.65931 -1.39788 0.258683 -0.456994 0.139442 --1.44279 -1.3122 -0.0272126 0.262549 --1.53821 0.639971 -0.245437 -0.251596 -0.180513 1.93115 -2.27961 -1.65181 -0.180513 1.93115 2.01648 1.60434 -0.476349 1.37678 -1.85166 -0.611938 -0.476349 1.37678 1.48321 0.281631 -1.80184 1.79639 3.74816 -1.63792 -1.80184 1.79639 -3.74785 1.4836 -1.32678 -1.36811 0.0101693 -0.272816 -0.806431 1.8555 -2.91822 -0.570314 -0.806431 1.8555 2.7525 0.390202 --0.151919 -1.90279 -1.7603 2.06104 --0.151919 -1.90279 1.49131 -2.10673 -1.99968 -0.993614 2.18654 2.64621 -1.99968 -0.993614 -2.06501 -2.48574 -1.99968 -0.993614 -0.121526 -0.160467 --0.320419 1.22729 -0.840302 -1.25043 --0.142485 -1.6478 1.11533 -1.74225 --0.318782 1.83008 -1.40936 -2.15165 --0.318782 1.83008 1.1403 2.24965 --0.318782 1.83008 0.269056 -0.098003 --1.58352 1.07814 -1.61469 2.19576 --1.58352 1.07814 1.71626 -1.9445 -1.18848 1.87629 3.26396 -0.29848 --0.592847 -1.84444 0.745329 -2.64301 --0.592847 -1.84444 -0.960966 2.49016 -1.78077 0.586781 1.28397 -2.36236 -1.78077 0.586781 -1.05183 2.19434 -1.6662 0.508501 1.10994 -2.16597 -0.543282 -1.45591 -2.02115 0.590787 -1.99227 -1.36477 2.97308 2.40723 -1.99227 -1.36477 -2.91137 -2.24705 --1.03242 -1.77778 -0.0543955 2.84128 -1.75666 0.15338 0.454215 -2.36187 -1.75666 0.15338 -0.141701 2.3101 -1.99173 1.80674 3.94807 -2.04796 -1.99173 1.80674 -3.93476 1.91037 -1.85061 -1.15144 -2.33831 -2.06 -1.86536 0.934349 -1.86051 2.21337 --1.37734 -1.39791 1.02596 2.41202 --0.263556 -1.78145 -1.43986 2.01009 --0.263556 -1.78145 1.14941 -2.10046 --1.35353 -0.782564 -1.30783 -1.5616 --1.35353 -0.782564 1.51113 1.22315 -1.53953 1.52054 2.9351 -1.3497 -1.28922 -0.67164 -0.988813 -1.04969 -1.57954 1.52405 2.9776 -1.4257 -1.57954 1.52405 -2.97085 1.21876 -1.45053 1.03744 -1.86714 1.2558 -1.1116 0.671128 -1.00501 0.600222 -0.525227 1.20882 -1.67073 -0.411534 --0.160301 -1.93154 -1.78432 2.11606 --0.160301 -1.93154 1.52353 -2.16177 -1.7073 1.25564 2.54654 -1.89258 --1.04749 1.52277 0.235221 -2.3465 -0.611676 -0.412666 0.162593 -0.779248 --1.24628 1.24833 -0.898767 2.31284 --1.24628 1.24833 0.902845 -1.98716 -1.85886 -0.546487 1.22472 2.52419 -1.85886 -0.546487 -0.998546 -2.3815 --0.367285 -0.991028 0.092391 -1.32834 --0.367285 -0.991028 -0.664871 0.977884 -1.4908 1.92822 -3.75166 0.682308 -1.4908 1.92822 3.7094 -0.844915 -1.71634 1.72111 3.50632 -1.52634 -1.71634 1.72111 -3.50703 1.35732 --0.0349037 1.52948 -1.48277 -1.39329 --0.0349037 1.52948 0.419689 -0.0391552 --1.82953 1.91229 -1.51836 4.09977 --1.82953 1.91229 1.51214 -3.957 --0.791156 -1.04674 0.047175 1.02743 --0.791156 -1.04674 0.290112 0.675273 --0.52297 -1.63187 0.58343 -2.23639 --0.52297 -1.63187 -0.857742 2.04533 -1.48312 -1.47446 2.79516 1.28101 -1.48312 -1.47446 -2.79475 -1.05327 --1.66535 -0.907047 -1.84903 -1.89602 --1.66535 -0.907047 1.99916 1.66538 -1.50643 1.14284 2.1911 -1.58746 -1.28488 1.81132 -3.31426 0.368996 -1.28488 1.81132 3.24775 -0.559805 -1.56527 0.109555 0.390291 -2.00614 -1.56527 0.109555 -0.00115402 1.95809 -1.56527 0.109555 -0.389137 0.0480513 -1.96496 1.88102 4.09068 -1.91831 -1.96496 1.88102 -4.08488 1.78336 --1.91435 0.191494 2.7632 -0.37528 --1.91435 0.191494 -2.49666 0.431047 -0.0152845 -0.235605 -0.546358 0.302847 --0.770787 1.2157 -0.0644109 -1.47014 --1.31357 1.96619 -0.388321 3.69883 --1.31357 1.96619 0.319493 -3.53337 -1.73489 -1.76265 3.61191 1.52631 -1.73489 -1.76265 -3.61469 -1.36306 -0.302375 -1.50902 1.44097 -0.802282 -0.00655278 -1.91683 -2.01488 1.87386 -1.96437 -0.459247 1.07072 2.75312 -1.96437 -0.459247 -0.849637 -2.64579 --0.954878 0.843891 -0.667487 1.52036 --0.954878 0.843891 0.846269 -0.940806 -0.734122 -1.5212 -2.29063 0.362147 --1.88511 -0.603536 -2.38777 -1.33124 --0.554237 1.05196 0.483556 -0.439813 --0.027496 -0.654014 -0.78921 0.542951 --0.398069 1.15923 0.212416 1.51671 --0.398069 1.15923 -0.695363 -1.20261 -0.236981 1.93361 -2.3596 -1.57327 -0.236981 1.93361 2.10167 1.51083 --1.03005 -1.13082 0.593841 1.53038 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0.0481468 -2.14164 -1.27343 0.503978 1.013 -1.51023 -1.27343 0.503978 -0.543316 1.14893 --1.55768 1.85632 -0.990946 3.72489 --1.55768 1.85632 0.96138 -3.55684 --1.90078 -1.07011 -2.26515 -2.33172 --1.90078 -1.07011 2.37406 2.15291 -1.55127 -0.893584 1.7656 1.8187 -1.55127 -0.893584 -1.60916 -1.54326 -1.46035 1.90376 -3.67063 0.641503 -1.46035 1.90376 3.62576 -0.808926 -1.64485 1.52615 -3.02471 1.35707 --1.36301 -0.106383 -1.23561 -0.31294 -1.76644 -1.18226 -2.35658 -1.85448 --1.62964 -0.308221 -0.336324 0.143266 -0.108426 1.205 0.635526 0.932407 --0.421827 0.679617 -0.155551 1.09381 --0.106291 1.16496 -1.05588 -1.02322 --0.106291 1.16496 0.4712 1.20853 --1.98878 1.96466 1.82953 -4.23659 --0.404045 1.03269 0.0926309 1.39718 --0.404045 1.03269 -0.635392 -1.03931 -1.13516 -1.52193 -2.62456 -0.330308 -1.13516 -1.52193 2.54695 0.59356 -0.457726 -0.694511 -1.06939 0.207689 -0.371487 1.2722 1.12621 0.226644 -1.26013 -0.830097 -1.35045 -0.936873 --1.37473 0.732997 -1.35753 1.48058 --1.37473 0.732997 1.58172 -1.15401 -1.35925 -0.513094 1.04831 1.64032 -1.35925 -0.513094 -0.651109 -1.33019 -1.59969 -0.0758914 0.325847 2.06295 -1.59969 -0.0758914 0.050223 -2.03109 --1.25145 -0.929509 -1.08295 -1.77527 --1.25145 -0.929509 1.21581 1.39205 --0.225032 -1.51731 -1.21282 1.57417 --0.225032 -1.51731 0.824654 -1.70094 --1.27521 1.44326 -0.806974 2.67805 --1.27521 1.44326 0.77444 -2.40776 -1.17949 -1.10057 1.88009 1.05661 -1.17949 -1.10057 -1.86435 -0.680013 --1.7248 1.6633 -1.51033 3.47129 -1.20336 -0.660014 -0.940383 -0.823149 -1.8271 1.16532 2.44478 -2.19319 -1.8271 1.16532 -2.35536 1.99923 -0.29184 -0.203332 -0.695099 0.121587 -0.29184 -0.203332 0.205633 -0.660863 -1.71849 -0.465006 -0.763293 -2.11617 --0.963348 1.06311 0.541475 -1.30825 --1.52944 -1.58899 -1.17132 -3.15902 --1.52944 -1.58899 1.16395 2.95292 --1.70672 -0.252665 2.36027 0.457552 --1.70672 -0.252665 -2.03731 -0.562372 --0.421043 -1.98754 -1.42993 2.53698 --0.421043 -1.98754 1.21006 -2.63471 -0.615829 -1.76397 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0.0804226 -1.8702 0.449742 1.03599 -2.56556 -1.8702 0.449742 -0.793875 2.44508 -1.21481 1.38722 2.38974 -0.867879 -1.21481 1.38722 -2.42923 0.580189 --1.51863 1.86603 -0.901501 3.70724 --1.51863 1.86603 0.866356 -3.53771 --1.37404 -1.20949 -1.14987 -2.32608 -1.47689 0.760253 -1.28082 1.44513 -1.47689 0.760253 -0.215175 0.305374 --1.99603 1.7307 -2.04712 3.83944 --1.99603 1.7307 2.06758 -3.69759 --0.170868 -1.61767 1.03446 -1.74624 -1.65856 0.553492 1.19052 -2.1417 -1.65856 0.553492 -0.922473 1.94722 --0.706705 -1.36232 0.0324499 -2.05888 --0.706705 -1.36232 -0.295169 1.72312 --0.962811 1.17144 0.407109 -1.53993 -0.984089 -1.93696 -3.25535 0.337494 -0.984089 -1.93696 3.13125 -0.165973 -1.49672 -0.407206 -0.530796 -1.69004 -0.423099 1.0693 -1.43031 -0.436818 --0.800908 0.139373 -0.581473 0.72566 -0.937836 -0.713922 -0.0277672 -0.651415 -1.75048 -1.50127 3.07736 1.79188 -1.75048 -1.50127 -3.04925 -1.60609 -0.767806 1.33105 -2.02015 -0.155923 -1.15265 -0.626982 1.15423 1.29486 -1.15265 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1.84397 -2.51672 -1.90475 0.848939 -1.68913 2.34491 --0.701472 0.73812 -0.399206 1.28116 -0.307099 1.28389 0.93357 0.352454 -0.307099 1.28389 0.649982 0.38768 --0.935165 0.937491 -0.596113 1.64044 --0.60545 -1.39367 -0.505442 1.70495 -0.791652 0.881058 1.27801 -0.690621 -0.791652 0.881058 -1.37221 0.105711 --0.527743 -0.35511 -0.361236 -0.865595 -0.151077 -1.54633 1.31069 -1.1346 --0.969838 -1.64487 -0.0948806 -2.75277 --0.969838 -1.64487 -0.0408916 2.51262 --0.969838 -1.64487 0.135772 0.240148 --1.58549 -0.174514 -1.76775 -0.398605 -0.371866 1.31883 -1.68396 -0.694289 -0.371866 1.31883 0.490142 0.357079 -1.49732 -1.07307 -1.96659 -1.33593 --1.75323 1.94629 -1.31923 4.10241 --1.75323 1.94629 1.30412 -3.9573 -1.49231 -0.393762 0.878263 1.87965 -1.87725 1.56793 -3.29323 1.83958 --1.87328 1.26333 -2.10499 2.72924 --1.87328 1.26333 2.17877 -2.54816 -1.99695 0.306975 0.762264 -2.83819 -1.99695 0.306975 -0.528978 2.76634 --1.70642 0.876979 -1.942 1.85085 --1.70642 0.876979 2.09896 -1.63244 --0.692832 0.973342 -0.262314 1.54633 --0.573537 -1.20257 0.0572447 -1.72829 --0.573537 -1.20257 -0.445054 1.34919 --1.35007 -0.965572 -1.23595 -1.87921 --0.508054 0.882952 0.610552 -0.445114 -0.461895 -1.83907 -2.50237 1.1164 --1.49075 -1.05638 -1.44879 -2.10881 --1.49075 -1.05638 1.55117 1.82921 --1.67943 1.16954 -1.7564 2.42586 --1.67943 1.16954 1.84028 -2.20308 -1.97554 -1.4433 3.13107 2.31418 -1.97554 -1.4433 -3.08055 -2.15485 -1.85528 0.00021002 0.143835 -2.53927 -1.85528 0.00021002 0.142992 2.53921 -1.26443 -1.01906 1.81064 1.25282 -1.26443 -1.01906 -1.74263 -0.881305 --0.807859 1.69978 -0.410706 -2.45431 --1.28577 0.485873 -0.353086 -0.339343 -1.91585 1.75808 3.7704 -1.92298 -1.91585 1.75808 -3.75789 1.7757 -1.81912 -0.150187 0.444721 2.48255 -1.81912 -0.150187 -0.151868 -2.43614 --1.2844 -0.223083 -0.514978 0.280726 --1.41533 -0.777718 1.62101 1.25838 --1.60557 -1.64528 -1.27803 -3.33526 --1.60557 -1.64528 1.27376 3.14566 -1.82521 1.98947 4.1952 -1.49781 -1.82521 1.98947 -4.20704 1.36125 --1.33851 -0.0236224 -1.08815 -0.0999011 --1.62457 -0.260499 -1.86028 -0.582249 --0.111186 -0.951137 -0.903228 0.812784 --0.111186 -0.951137 0.247766 -1.0834 --0.689776 1.28145 -0.271673 -1.55544 --1.8109 -0.522967 -2.24339 -1.14653 --0.421249 1.00021 0.0497294 1.38014 --0.421249 1.00021 -0.604825 -1.00494 -1.47192 0.48498 1.02801 -1.83007 -0.359957 -1.70979 -2.19093 1.11531 -0.359957 -1.70979 1.88445 -0.981252 --0.797907 1.00287 -0.0114258 -0.8749 --0.797907 1.00287 0.385861 -0.774988 --0.594062 -0.268483 0.904179 0.218622 --0.594062 -0.268483 -0.42966 -0.814028 -0.161732 0.795698 0.22768 0.830471 -0.161732 0.795698 0.774544 -0.326466 -0.17774 -1.39954 1.05922 -0.912595 -0.17774 -1.39954 0.529307 -0.0908177 --0.196131 1.4793 -1.21623 -1.49264 --0.196131 1.4793 0.80541 1.61661 -1.11232 -1.90459 -3.32817 0.0609078 -1.11232 -1.90459 3.22798 0.118086 -1.59166 1.32942 2.60562 -1.61125 -1.59166 1.32942 -2.56561 1.38244 --1.57714 -0.496827 2.05593 0.855711 -1.13141 0.942152 -1.54579 0.647705 -0.485765 1.70186 2.04697 0.749373 --0.428406 1.60786 0.685112 2.08526 --0.428406 1.60786 -0.991507 -1.91203 -1.9513 0.247559 0.63808 -2.74757 -1.9513 0.247559 -0.388775 2.68502 --1.27795 -1.41003 0.0259679 0.27776 --0.645916 1.80309 0.609508 2.64496 --0.645916 1.80309 -0.81991 -2.47468 --1.47997 1.93879 0.705934 -3.65501 --1.47997 1.93879 0.0444517 -0.162443 --1.46431 1.46261 -1.14389 2.86067 --1.46431 1.46261 1.14521 -2.6262 -1.25697 1.15954 2.03705 -1.13735 -1.25697 1.15954 -2.01636 0.800092 --0.715665 1.37272 0.0298649 2.08192 --0.715665 1.37272 -0.285939 -1.74985 -0.3372 1.34087 1.1574 0.452414 --1.14485 1.90159 -0.134938 3.39266 --1.14485 1.90159 0.0391997 -3.21316 --0.655167 -1.83323 0.632379 -2.7043 --0.655167 -1.83323 -0.836288 2.5395 --0.300438 -1.50807 -1.09438 1.63347 --0.300438 -1.50807 0.721568 -1.79152 --1.53167 1.7477 -1.03891 3.47896 --1.53167 1.7477 1.01471 -3.2949 -1.9587 0.792177 1.7498 -2.64964 -1.9587 0.792177 -1.58762 2.49354 -1.30324 -0.717648 1.35136 1.48297 -1.46234 -1.0958 2.07582 1.53956 -1.46234 -1.0958 -1.99572 -1.2502 --0.975293 1.9086 0.128469 -0.175923 -1.13454 1.89224 -3.32694 -0.00548357 -1.13454 1.89224 3.23094 -0.175595 -1.88696 1.04056 2.2254 -2.38803 -1.88696 1.04056 -2.1103 2.2049 -1.54061 0.531086 -0.309398 0.228993 --0.700842 -1.58612 -0.49831 2.13586 --1.19917 1.62913 -0.50998 2.94765 --1.19917 1.62913 0.436375 -2.7128 -0.807653 1.95203 2.93089 0.51504 -1.42285 -0.915247 1.7352 1.5815 -1.42285 -0.915247 -1.59471 -1.25543 --1.1086 -1.37562 -0.571425 -2.4282 -1.39358 -0.0737942 0.355831 1.71205 -1.39358 -0.0737942 0.118331 -1.67336 --1.27245 -0.0452898 -0.948002 -0.292298 --1.27245 -0.0452898 -0.729784 0.227456 -0.00936646 -1.10718 -1.12865 0.871588 -0.00936646 -1.10718 0.465592 -1.03658 -0.00936646 -1.10718 0.66306 0.164995 -0.668226 1.34325 -1.96386 -0.315157 -0.702379 -1.40004 -2.07568 0.308993 -0.702379 -1.40004 1.84778 0.0244723 -0.702379 -1.40004 0.227906 -0.333465 -0.850376 -0.578323 0.971964 0.930445 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2.4207 --1.62848 -1.64636 -1.324 -3.35654 --1.62848 -1.64636 1.32231 3.16968 -0.309303 1.32669 0.575147 0.291168 --0.638364 -1.80734 0.626693 -2.64226 --0.638364 -1.80734 -0.838196 2.47409 --1.21346 -1.87055 0.214301 3.22399 -1.26939 -0.538768 1.06425 1.49488 -1.26939 -0.538768 -0.62062 -1.09576 -1.26939 -0.538768 -0.44363 -0.399121 -1.32576 -0.935819 -1.59705 -1.04064 -1.32576 -0.935819 -0.116641 -0.365859 -1.9839 -1.58834 -3.42101 -2.06818 -0.804476 -1.85942 -2.92294 0.577934 -0.804476 -1.85942 2.75706 -0.398876 --1.17886 1.1564 0.860401 -1.74016 -1.92701 -0.792349 1.73801 2.58478 -1.92701 -0.792349 -1.573 -2.42226 -1.49325 -1.41935 -0.0107056 -0.234503 -0.500947 -1.73149 2.11995 -0.764193 --1.32924 1.34893 -0.975775 2.54861 --1.32924 1.34893 0.97389 -2.26741 -1.42942 -1.68118 3.14621 0.980496 -1.42942 -1.68118 -3.17928 -0.778611 --1.64831 -0.59837 -1.89675 -1.27816 -1.20493 1.29573 2.22298 -0.935049 -1.20493 1.29573 -2.2485 0.621578 -0.0472274 1.51709 1.13617 1.28293 -0.822885 1.06401 0.122041 0.486083 -1.10064 -0.867358 -1.39767 -0.60456 -0.240569 0.915237 -1.15239 -0.516773 -1.20646 1.17548 2.02308 -1.04068 -1.88639 -0.31043 0.761586 2.61374 -1.88639 -0.31043 -0.502783 -2.52893 -0.999257 -1.9597 -3.31416 0.333578 -0.999257 -1.9597 3.19353 -0.165951 --0.909727 -1.24594 0.216734 1.64811 -0.825672 1.26021 -1.94946 -0.0170988 -0.825672 1.26021 1.7918 -0.374532 --1.71115 0.85247 -0.163307 -0.216 -1.11767 1.83502 3.10169 -0.211345 --1.10481 -1.90187 -0.0604036 -3.34923 --1.10481 -1.90187 -0.0428305 3.16965 -1.78803 1.79244 0.000546105 0.155841 --1.02853 1.17469 0.541921 -1.61847 -1.01553 0.860957 -1.3768 0.45125 --1.81057 0.479555 -2.24843 1.0542 --1.58509 -1.77798 -1.12039 -3.58918 --1.58509 -1.77798 1.10034 3.41369 -0.516457 1.99774 -2.82064 -1.22376 -0.516457 1.99774 2.61406 1.10895 --0.698896 0.49761 -0.476185 1.03005 --1.93442 -1.51879 -2.0716 -3.32119 --1.93442 -1.51879 2.11112 3.16068 --1.70089 0.437866 2.30078 -0.794983 --1.70089 0.437866 -2.02115 0.956042 --1.31656 -0.00334899 -0.941814 -0.0345406 --1.31656 -0.00334899 -0.801002 0.0296068 -1.4289 0.122126 0.428427 -1.77636 -1.4289 0.122126 0.0251539 1.71396 --0.599835 1.32402 0.138687 1.90441 --0.599835 1.32402 -0.466008 -1.57708 --0.78522 -1.56379 0.118852 -2.43233 --0.78522 -1.56379 -0.319358 2.17399 -0.935074 -1.88852 2.97854 -0.196576 -1.38769 0.151975 -0.00736925 1.6326 --0.675989 -1.12671 -0.132066 -1.72152 --0.675989 -1.12671 -0.231994 1.24123 -1.08585 1.99975 -3.48381 -0.211897 -1.08585 1.99975 3.37923 0.0497884 --0.357522 -1.00599 0.567859 0.342288 -1.40199 1.62719 3.01348 -0.98091 --0.291408 1.14295 -0.825782 -1.1236 -0.989384 -1.35002 2.10425 0.527162 --0.611064 -0.955399 -0.179718 -1.47203 -1.64285 -0.210922 0.566093 2.15205 -1.64285 -0.210922 -0.2181 -2.06889 -1.27689 0.783712 -1.25245 0.986174 -0.967549 1.55066 -2.54045 0.00304779 -0.967549 1.55066 2.4129 -0.270505 --0.698073 -0.926035 -0.260781 0.878485 --0.698073 -0.926035 0.558805 0.615008 -1.85299 -0.179345 -0.220037 -2.49767 --1.26679 -0.946427 1.22745 1.43568 --0.768058 -1.23166 -0.0805187 1.50299 -0.643064 -1.33562 1.67422 0.0230788 -1.97794 -0.776921 1.7256 2.695 --0.764562 -1.13878 -0.0378876 1.29015 --1.02286 -1.24299 -0.534044 -2.14771 -0.698594 -0.850391 1.17523 0.613726 -0.698594 -0.850391 -1.30839 0.00656241 --0.666716 -1.25541 -0.0122849 -1.87801 --1.80798 -1.84571 -1.53182 -3.93405 --1.80798 -1.84571 1.52885 3.78413 -0.60078 1.75853 0.229629 0.18103 -1.6489 -1.5401 -3.0579 -1.35523 --0.0717836 0.202963 -0.0643481 0.599861 --0.0717836 0.202963 -0.479753 -0.361583 --1.0484 0.229343 -0.528786 -0.458362 -1.6182 -0.441368 0.979355 2.09162 --1.55335 0.442699 -1.72049 0.960767 -1.76577 0.260716 0.658989 -2.3809 -1.76577 0.260716 -0.360033 2.29525 --1.72384 -0.975646 -1.9391 -2.05662 --1.72384 -0.975646 2.07012 1.84019 --1.68475 -0.998711 -1.85067 -2.08638 --1.68475 -0.998711 1.97599 1.85996 -0.119269 -0.540159 -0.799978 0.388833 --1.83488 1.24795 -2.03248 2.67441 --1.83488 1.24795 2.10757 -2.48615 -1.68175 0.996787 -1.90128 1.77401 -0.695341 1.69651 -2.53479 -0.591004 -0.695341 1.69651 2.32457 0.378228 -1.76674 -0.829941 1.74757 2.25121 -1.74602 1.02552 2.11785 -2.11426 -1.74602 1.02552 -1.99922 1.89948 -1.90184 -0.327901 0.797599 2.64328 -1.44261 -0.141997 0.45935 1.80105 -1.44261 -0.141997 -0.0141246 -1.7293 --1.79601 -1.2425 -1.95411 -2.64057 --1.79601 -1.2425 2.02863 2.44503 -0.108451 -1.67434 1.48023 -1.37244 --0.302269 -1.44951 0.39444 0.175015 -1.92323 -0.158895 0.457853 2.69043 -1.92323 -0.158895 -0.194934 -2.6481 --1.95564 -0.331703 -2.58024 -0.746649 -0.561877 -0.499549 0.783484 0.68082 --1.71169 0.128939 2.38738 -0.233561 --1.71169 0.128939 -2.04562 0.289788 --1.4325 -1.45433 -1.0894 -2.82067 --1.74103 0.93491 -1.99044 1.98092 --1.74103 0.93491 2.13129 -1.76951 --1.42392 -0.87494 -1.40296 -1.74745 --1.42392 -0.87494 1.56655 1.43713 -1.13286 -0.729236 -0.169049 -0.555531 --1.23184 0.579814 1.45362 -0.820164 --1.23184 0.579814 -1.14167 1.20098 --0.331883 0.272334 0.72563 -0.205085 --1.1851 -1.09021 0.939375 1.61935 -0.469148 -1.33869 -1.79489 0.588138 -0.469148 -1.33869 1.41377 -0.227877 --0.997408 -1.42812 -0.344956 -2.42177 --1.68858 0.120555 -1.99381 0.271693 --1.73486 1.13505 -1.88686 2.38548 --1.73486 1.13505 1.98069 -2.17353 -0.517644 -0.376242 0.184659 -0.759633 --1.65467 -0.846731 -1.84911 -1.7728 --1.65467 -0.846731 2.01681 1.5413 --1.76996 1.96414 -1.3386 4.1574 --1.76996 1.96414 1.32381 -4.01497 --0.798531 0.981338 0.447 -0.78486 --0.798531 0.981338 -0.0584785 -0.837576 -0.889817 -1.73055 -2.78554 0.296657 -0.889817 -1.73055 2.63417 -0.0808727 -0.943336 -1.71845 -2.81578 0.190364 -1.60048 0.107246 0.382027 -2.06845 -1.60048 0.107246 -0.00784888 2.02348 -1.15908 -0.433814 0.885627 1.36106 -1.29598 1.90385 -3.511 0.302233 -1.29598 1.90385 3.44229 -0.47729 -1.20903 0.568038 -0.618527 0.870061 -1.20903 0.568038 -0.47089 0.526622 -0.818927 -0.864457 1.27903 0.734163 -0.818927 -0.864457 -1.35542 -0.146869 -0.354157 -1.288 1.10184 -0.289259 --0.909372 -0.907669 0.699678 0.955616 --0.909372 -0.907669 -0.123835 0.630759 -1.21691 -0.831539 1.48555 1.29356 -1.21691 -0.831539 -1.34353 -0.843841 -1.13431 0.52587 -0.302488 0.861195 -1.13431 0.52587 -0.704085 0.442549 -0.572362 -1.30099 1.52656 -0.0254339 --0.534143 0.678814 -0.255683 1.14646 -1.64836 1.78844 3.58234 -1.31849 -1.64836 1.78844 -3.59623 1.15031 -1.73582 -1.3207 2.69716 1.90284 -1.73582 -1.3207 -2.64192 -1.69988 -1.88677 -1.65432 3.51732 1.95138 --1.54833 -0.141272 2.10022 0.237433 --1.54833 -0.141272 -1.68055 -0.329051 --0.998521 -1.85328 0.0779193 -3.14333 -0.733357 -0.373355 0.720437 0.87416 --1.71262 1.78514 1.37392 -3.55508 -1.57649 -0.616001 -1.01477 -1.73861 --1.2434 -0.362844 -1.14403 -0.85321 -1.20805 -1.85425 -3.32586 -0.175555 -1.20805 -1.85425 3.24404 0.36196 --0.1825 1.65236 -1.41539 -1.7238 --0.1825 1.65236 1.07068 1.80763 -1.52574 1.1555 2.22775 -1.61426 --1.57972 -1.86391 -1.02925 -3.76161 --1.57972 -1.86391 1.00181 3.59604 --1.56179 -0.00694378 2.13124 0.011738 --0.892396 0.816624 0.810301 -0.831187 --1.85344 1.4921 1.95291 -3.0332 -1.13337 1.3023 2.16859 -0.808849 --1.45285 1.7855 -0.84588 3.48193 --1.45285 1.7855 0.807439 -3.2966 -1.45878 -0.164684 0.495253 1.82978 -1.45878 -0.164684 -0.0600732 -1.74777 -0.904467 1.36693 -2.17625 0.0380024 -0.350416 -1.50996 1.51279 -0.713717 --1.87852 0.363159 2.66009 -0.704756 --1.87852 0.363159 -2.40712 0.809454 --1.71475 0.961068 -1.92675 2.02341 --1.71475 0.961068 2.06155 -1.80487 -1.98094 -1.99356 4.36211 1.84503 -1.98094 -1.99356 -4.36298 -1.71849 -0.968291 1.57563 -2.58507 -0.0167984 -0.968291 1.57563 2.4567 -0.243 -1.53565 1.38849 2.67482 -1.45576 -1.53565 1.38849 -2.65273 1.22411 --0.137866 -1.2255 0.5453 0.175686 -1.43307 1.5309 -2.87352 0.907678 --1.18228 -1.00988 -0.932077 -1.87526 --1.18228 -1.00988 1.01585 1.46783 --1.93379 -1.67562 -1.95215 -3.66644 --1.93379 -1.67562 1.9741 3.51523 --1.93379 -1.67562 -0.0219492 0.151211 --0.816653 0.993329 0.412414 -0.839037 --0.446589 -1.43762 -0.807503 1.65426 --1.95518 1.41301 -2.18944 3.10345 --1.95518 1.41301 2.24365 -2.94051 -0.820333 0.114144 0.47801 -0.989723 --1.1984 0.159946 -0.97442 0.561177 -1.21254 -1.50632 2.59865 0.747607 -1.21254 -1.50632 -2.6553 -0.488872 -1.53183 1.0936 2.11778 -1.66704 -1.53183 1.0936 -2.02877 1.39794 -1.19443 -1.01242 1.75156 1.14544 -1.19443 -1.01242 -1.70152 -0.745854 -0.292681 -1.95447 2.2178 -1.44404 -1.50598 -0.830746 -1.45006 -1.47521 -1.50598 -0.830746 -0.181503 -0.293965 -1.10827 0.417488 -0.686422 0.277859 -1.08874 1.93219 -3.35684 -0.134688 -1.08874 1.93219 3.25229 -0.0392772 -1.6293 -0.919525 1.853 1.94827 -1.6293 -0.919525 -1.70507 -1.70001 --0.0395662 1.14382 -1.10991 -0.948059 --0.0395662 1.14382 0.486765 1.11411 -0.111122 -1.5843 -1.72917 1.29382 -0.259865 1.6678 -2.01519 -1.2044 -0.809238 -0.992216 1.42258 0.621017 -0.809238 -0.992216 -1.53438 -0.09626 -1.96004 0.639446 -1.24599 2.56506 --0.49603 1.4859 -0.767625 -1.77462 -1.91434 1.57989 3.37916 -2.07419 -1.91434 1.57989 -3.34865 1.91481 -1.71665 -1.073 -2.08729 -1.80856 -1.57291 -0.285625 -0.333453 -1.90337 --1.59907 -1.69535 -1.22226 -3.43203 --1.59907 -1.69535 1.21175 3.2478 -1.61891 1.80235 3.58212 -1.24303 -1.61891 1.80235 -3.60044 1.07396 --1.5885 1.35246 1.50241 -2.50793 -0.342589 0.512051 -0.88524 -0.227699 -0.387015 -1.61673 1.75816 -0.802392 -1.78365 -1.07306 -2.12515 -1.95618 --1.98747 -1.61648 -2.11734 -3.57639 --1.98747 -1.61648 2.14859 3.42725 --1.00992 -1.92096 -0.255363 3.10272 --1.83377 1.74237 -1.67795 3.73128 --1.83377 1.74237 1.68614 -3.57507 --1.9836 -0.959436 -2.49209 -2.12926 --1.9836 -0.959436 2.61946 1.96843 --0.603786 -0.203012 0.920632 0.168746 --0.603786 -0.203012 -0.446177 -0.769248 --0.603786 -0.203012 -0.474455 0.600502 -0.506151 -1.23885 1.34794 -0.0124867 --0.424456 -1.73676 0.858367 -2.26061 --0.424456 -1.73676 -1.13168 2.11912 -1.6786 -1.72733 3.48369 1.44116 -1.6786 -1.72733 -3.48884 -1.26914 --0.515772 -1.29128 0.211219 -1.78012 --0.515772 -1.29128 -0.589224 1.46758 -0.211593 1.63807 -1.9183 -1.23274 -0.211593 1.63807 1.55335 1.14499 -0.546532 1.67882 2.09164 0.611544 --1.92638 1.20163 -2.25348 2.62679 --1.92638 1.20163 -0.0854979 -0.173634 -1.29131 1.54724 2.75217 -0.850505 -1.29131 1.54724 -2.79616 0.610041 --1.03083 0.061768 1.35928 -0.0738905 --1.63963 1.83208 -1.18404 3.75152 --1.63963 1.83208 1.16584 -3.58681 --0.940178 0.156579 1.24497 -0.173341 --1.56588 0.862157 -1.6712 1.773 --1.56588 0.862157 1.83754 -1.51357 -0.235008 -1.35836 1.02772 -0.738564 -0.198206 -1.96283 -2.34971 1.6696 -0.198206 -1.96283 2.09623 -1.61966 -1.50758 1.77444 0.0298242 0.181537 -0.099314 -1.38654 0.958237 -1.05517 --1.12822 1.77414 0.142465 -2.93532 --1.45422 -0.64304 1.7722 1.05021 --1.45422 -0.64304 -1.51727 -1.33465 --1.99742 -0.963034 -0.126181 0.15852 --0.0691528 -1.64962 -1.57234 1.59174 -1.29329 -1.42534 2.53105 0.971559 -1.29329 -1.42534 -2.5581 -0.705402 --1.74129 1.41811 -0.0408285 -0.194086 --1.17076 -1.72369 -0.367818 -3.09193 --1.17076 -1.72369 0.281825 2.87701 -0.981589 -1.71907 -2.85319 0.122285 -0.981589 -1.71907 2.72561 0.0975285 --0.962379 0.994082 -0.604188 1.73495 --0.962379 0.994082 0.641624 -1.17285 --1.42956 -1.45066 1.08422 2.56917 -0.836837 1.73329 -2.73818 -0.391388 -0.836837 1.73329 2.57252 0.178378 --1.64697 -1.71656 -1.30268 -3.5171 --1.64697 -1.71656 1.29561 3.34021 -1.20072 0.539554 -0.502515 0.912501 -0.593961 1.66585 -2.38244 -0.720146 -0.593961 1.66585 2.13475 0.511746 -1.3658 0.428014 0.915397 -1.66828 -1.3658 0.428014 -0.480151 1.41615 -1.42215 1.87527 -3.5745 0.588767 -1.42215 1.87527 3.526 -0.762204 -0.232299 -1.62287 1.55406 -1.08772 -0.232299 -1.62287 0.369045 -0.100025 --1.77189 1.84502 -1.454 3.90003 --1.77189 1.84502 1.44795 -3.74716 -1.14794 -0.541865 -0.344012 -0.829042 -1.14794 -0.541865 -0.688871 -0.488763 --1.90123 -0.214383 2.73429 0.418316 --1.15002 0.862567 1.10878 -1.1844 --1.99975 -1.58646 -2.16722 -3.51849 --1.99975 -1.58646 2.20234 3.3691 -1.44238 1.53024 2.86536 -1.15195 -1.2915 1.24299 2.20703 -1.1289 -1.2915 1.24299 -2.19916 0.820968 --0.125865 -1.44677 -1.27897 1.38045 -1.83567 -0.711504 1.54298 2.43136 -1.83567 -0.711504 -1.3501 -2.25709 --0.893334 -0.86328 0.748734 0.880485 -1.08915 -1.71238 -2.94101 -0.081717 -1.08915 -1.71238 2.83963 0.300967 -0.953361 -0.0656921 -0.703963 -0.0257259 --1.91794 -0.817946 2.55993 1.63412 --1.91794 -0.817946 -2.40187 -1.79949 --0.877199 -0.501951 -0.663295 -1.06608 --0.877199 -0.501951 1.06291 0.513596 --1.52817 -1.01077 -1.5406 -2.04061 --1.52817 -1.01077 1.65923 1.77012 --1.30813 -1.45057 0.834637 2.45427 --1.67906 0.332162 2.29217 -0.595538 --1.67906 0.332162 -1.97856 0.733258 -1.60487 -0.799433 -1.43022 -1.70716 --1.06638 0.591853 -0.892864 1.20281 --1.06638 0.591853 1.2185 -0.731486 -1.32449 -0.750934 -1.19256 -1.10523 -0.911371 0.172861 0.537813 -1.08255 -1.14359 0.576877 -0.754502 0.566321 -0.486188 0.816887 0.207596 0.686464 -1.27853 0.85936 1.56283 -1.37422 -0.831581 -1.29434 1.84794 0.344924 -1.58409 -1.54831 3.03001 1.4132 -1.58409 -1.54831 -3.02595 -1.20994 --0.117941 0.579237 0.0143982 0.879494 --1.93379 0.948068 -2.38884 2.08462 --1.93379 0.948068 2.52031 -1.915 -1.30431 0.795843 -1.2878 1.04416 --1.53081 1.5495 1.204 -2.87042 -1.82846 -1.83918 3.86689 1.65488 -1.82846 -1.83918 -3.86788 -1.50634 --0.131346 0.722335 0.684632 -0.325883 --1.68427 0.0873324 -1.98318 0.197316 -1.80808 1.06255 2.22611 -2.21623 -1.80808 1.06255 -2.11557 2.01631 -0.767212 -1.92309 -2.99268 0.712838 -0.767212 -1.92309 2.82388 -0.550889 --1.55258 1.49458 1.3008 -2.77439 -0.636607 -1.36989 1.71479 -0.033192 --1.56546 -0.373451 -1.74329 -0.82159 --1.56546 -0.373451 -0.336379 0.185168 -1.82829 -1.30895 -2.67654 -1.91227 -1.12413 -0.626739 1.14278 1.25488 -0.620208 -1.01084 -1.47711 0.167556 -0.620208 -1.01084 1.26502 0.395707 --1.99539 -0.997755 -2.50189 -2.21778 --1.99539 -0.997755 2.62207 2.05765 -0.423096 -1.24377 1.20802 -0.110427 -1.93366 -0.172959 -0.259353 -0.0453223 --1.47041 1.3738 -1.22056 2.69518 --1.47041 1.3738 1.23899 -2.44797 -1.47348 -0.901328 -1.58816 -1.37088 -1.50061 -0.760574 -1.29313 -1.49744 --1.11494 1.35797 0.532298 -2.07937 --1.68808 0.975817 -0.131251 -0.225535 --0.87366 -1.80643 0.241421 -2.92128 --0.87366 -1.80643 -0.39709 2.72778 -0.210082 -1.9279 -2.31509 1.60475 -0.210082 -1.9279 2.05329 -1.54901 --1.39459 -0.203124 -1.3598 -0.508168 --0.00404149 -0.319162 -0.597868 0.358194 --0.705967 -0.838171 -0.356506 -1.39576 --0.705967 -0.838171 0.664925 0.613606 --0.705967 -0.838171 -0.308419 0.782156 -1.87223 -1.84872 3.92994 1.74198 -1.87223 -1.84872 -3.92824 -1.59766 --0.716143 -0.21628 -0.524755 -0.786777 -0.711721 1.63524 -2.45206 -0.503724 -0.711721 1.63524 2.24095 0.269062 -0.526501 -1.35277 0.334204 -0.355469 -0.6579 -0.961923 0.179615 -0.577288 --1.69104 -0.0619884 -1.99785 -0.140084 -0.424196 -0.941235 -1.29197 0.355641 -0.424196 -0.941235 1.0152 0.314384 --1.62565 1.39977 -1.50619 2.85426 --1.62565 1.39977 1.5395 -2.63927 -1.69292 -1.5214 3.07055 1.65664 -1.69292 -1.5214 -3.05058 -1.4649 -1.43387 1.74038 3.26777 -0.928964 -1.43387 1.74038 -3.30535 0.736592 -1.94897 0.980554 2.13408 -2.54682 -1.94897 0.980554 -2.00842 2.37734 -1.10932 -1.96123 -3.43436 0.125472 -0.847031 -1.44124 -2.25606 0.113048 -0.847031 -1.44124 2.09124 0.198324 -1.6004 0.205341 -0.36566 0.0858747 -1.35868 -0.265261 0.659955 1.67242 -1.35868 -0.265261 -0.180693 -1.5236 -1.71928 -1.13368 -2.22179 -1.7796 --1.9303 -0.412473 2.74939 0.815979 --1.9303 -0.412473 -2.5159 -0.922948 --1.65287 1.63251 -1.38559 3.34815 -0.911731 1.3053 -2.07864 0.0925886 -0.911731 1.3053 1.9523 -0.452897 --1.41662 -0.147671 -1.38331 -0.378511 --1.95664 -0.665614 2.71272 1.33833 --1.95664 -0.665614 -2.52859 -1.48134 -1.23996 0.718081 1.32431 -1.38507 -0.121635 1.68163 1.51002 1.35952 -1.47957 0.608197 -0.944252 1.53127 --0.683975 1.91166 0.68466 2.86779 --0.683975 1.91166 -0.872076 -2.71558 -1.76553 0.677395 -1.24212 2.11901 -1.59989 -1.01439 2.01334 1.84165 -1.59989 -1.01439 -1.89575 -1.58661 --1.79827 1.32045 1.97288 -2.61356 --1.47774 0.520963 1.87406 -0.854797 --1.70444 1.1827 -1.79962 2.46606 --1.70444 1.1827 1.88187 -2.24944 --0.889761 1.82377 0.233854 2.96912 --0.889761 1.82377 -0.38469 -2.77875 --1.30581 0.906174 -0.147357 -0.359228 -0.705837 1.59247 -2.37798 -0.472226 -0.705837 1.59247 2.16091 0.222691 -1.54795 1.44555 2.79563 -1.43168 -1.54795 1.44555 -2.78142 1.20982 --0.755177 -1.72769 -0.538749 2.45244 --1.26373 1.54592 0.651281 -2.60657 --1.26373 1.54592 0.050109 -0.247829 --1.36147 1.44632 -0.962213 2.75115 --1.36147 1.44632 0.947977 -2.49633 --1.305 1.39886 -0.895111 2.62105 --1.305 1.39886 0.877576 -2.34583 --1.14223 0.807232 1.14918 -1.09069 -1.34916 -0.426738 0.91058 1.6424 -1.34916 -0.426738 -0.463509 -1.3847 -0.625609 -0.552201 0.135518 -0.745443 --1.61286 0.0778168 2.21622 -0.134841 --1.61286 0.0778168 -1.82121 0.178589 -0.343408 0.333452 0.181281 0.715088 -0.877799 1.4865 -2.35594 -0.0982328 -0.877799 1.4865 2.20091 -0.194613 -1.1031 0.702573 -1.07444 0.596781 --0.904877 -0.921521 -0.562724 -1.6029 --0.126672 1.18424 0.56813 -0.186473 --0.570878 -0.563997 -0.33588 -1.05512 --0.570878 -0.563997 -0.470224 0.652584 --1.12601 0.792514 -0.934199 1.50995 -1.65015 -1.09936 2.204 1.88517 -1.65015 -1.09936 -2.10723 -1.64867 -1.22972 1.42181 2.46474 -0.86124 -1.22972 1.42181 -2.50593 0.584481 --1.15311 -1.18839 0.777538 1.77683 --0.0116094 -1.59703 -1.58883 1.45484 --0.0116094 -1.59703 1.19936 -1.47487 -0.751792 -1.9647 -3.04758 0.787053 --1.89908 1.66477 -1.88416 3.61499 --1.89908 1.66477 1.90492 -3.4595 -0.357942 -1.6512 1.77816 -0.902676 -0.199718 1.18355 -1.37667 -0.766639 -0.199718 1.18355 0.772839 -0.0121987 --1.55366 -1.22809 -1.47512 -2.46959 --1.55366 -1.22809 1.53604 2.22212 -1.32846 1.90247 -3.54013 0.36953 -1.32846 1.90247 3.47652 -0.543536 --1.31248 -0.0202349 -0.980539 -0.135634 -1.22802 0.795022 -1.26677 0.87467 -1.87844 -0.357668 0.854782 2.59399 -1.87844 -0.357668 -0.600164 -2.49637 -0.48838 -1.35783 -1.83688 0.579223 -0.48838 -1.35783 1.47444 -0.231957 -1.06513 0.718696 1.24323 -1.13302 -1.06513 0.718696 -1.11876 0.528257 --1.92377 -1.27788 -2.20487 -2.7899 --1.92377 -1.27788 2.27784 2.61753 -0.0336763 -1.39462 -1.42285 1.15506 --0.793562 -1.9945 0.6047 -3.14657 --0.793562 -1.9945 -0.762661 2.99847 -1.52163 -1.0359 -1.90054 -1.4072 --1.93056 -1.2097 -2.25811 -2.64649 --1.93056 -1.2097 2.34232 2.47369 --1.93056 -1.2097 -0.0842126 0.172803 --0.957208 1.90459 -0.341769 -3.01125 -0.798484 1.57394 -2.43334 -0.305111 --0.792781 -0.953104 -0.397999 -1.58285 --0.792781 -0.953104 0.512852 0.769628 --0.792781 -0.953104 -0.114853 0.813227 --0.112777 -1.31382 0.659522 -1.3326 --1.45955 -1.89623 -0.751751 -3.71047 --1.45955 -1.89623 0.706911 3.54128 --1.58005 -0.756935 1.93042 1.32612 --1.58005 -0.756935 -1.73013 -1.57531 -0.105278 -1.50169 1.17546 -1.16387 -0.595078 0.83831 -1.26128 -0.123366 -0.595078 0.83831 1.08588 -0.525747 --1.30285 1.14456 -1.06208 2.16795 --1.79326 1.9494 -1.40375 4.14738 --1.79326 1.9494 1.39194 -4.0052 --1.32884 0.582651 1.59992 -0.8805 --1.32884 0.582651 -1.30187 1.21298 --1.6292 -1.84043 -1.15445 -3.75932 --1.6292 -1.84043 1.13444 3.59472 -0.475853 -0.905994 0.242185 -0.660602 -1.36417 -0.955671 -1.65466 -1.11295 --0.709212 1.75955 -0.657512 -2.46327 -0.211912 -1.53035 1.35824 -1.00239 -1.5187 -1.09537 2.11244 1.64183 -1.5187 -1.09537 -2.02532 -1.36912 -1.76189 0.0331565 0.222491 -2.35985 -1.76189 0.0331565 0.0936003 2.34867 --1.05293 -1.35981 0.404721 2.02256 --0.828542 0.617074 -0.585044 1.18904 -0.974709 -0.523938 0.954105 1.09634 -1.33263 -0.913234 1.68057 1.43112 -1.33263 -0.913234 -1.55223 -1.064 --1.17309 -0.189531 -0.563057 0.367813 -0.794257 -1.48673 2.10023 0.0584007 -0.874991 -1.50475 -2.38431 0.117954 -0.874991 -1.50475 2.22763 0.168375 -0.84734 0.625836 -1.05002 0.184395 --1.79704 -1.79276 -1.55493 -3.80921 --1.79704 -1.79276 1.55546 3.65385 -0.270451 -1.46017 1.30049 -0.795124 -0.536573 1.17408 1.32445 -0.117346 -1.76891 1.78563 3.69353 -1.57713 -1.76891 1.78563 -3.69519 1.41903 -1.28733 0.964033 1.73619 -1.32625 -1.28733 0.964033 -1.64042 0.949911 --1.96738 -1.37686 -2.23947 -3.03204 --0.52175 -1.35021 0.264299 -1.85858 --0.52175 -1.35021 -0.618211 1.56916 --1.88985 1.14096 -2.20711 2.47748 --1.88985 1.14096 2.30282 -2.29668 -1.7137 -1.09316 -2.1298 -1.79071 --1.1949 -0.144287 1.56048 0.195908 -0.348771 1.96879 -2.56031 -1.4522 -0.348771 1.96879 2.32339 1.36628 -1.42323 0.644043 -0.992106 1.38447 --1.44417 1.21638 -1.27438 2.38153 --1.44417 1.21638 1.32536 -2.10518 --0.471514 -1.35344 0.329542 -1.80916 --0.471514 -1.35344 -0.702614 1.53882 --0.0730871 0.997294 0.658014 -0.243696 --1.1708 -1.4533 0.552453 2.3269 -1.94456 1.37182 2.95447 -2.29962 -1.94456 1.37182 -2.89555 2.13299 --1.80843 1.69868 -0.0104041 -0.162262 --1.351 0.954611 -1.2423 1.86042 --1.351 0.954611 1.37139 -1.52357 -0.346691 -1.44493 1.38481 -0.621258 -0.231447 -1.34376 0.593527 -0.152841 -0.590321 1.83537 2.42645 0.750521 --0.255063 1.60204 -1.25493 -1.72781 --0.255063 1.60204 0.905445 1.84712 --1.23783 -1.67424 0.470045 2.84438 -1.99839 1.48636 3.24211 -2.33154 -1.99839 1.48636 -3.19597 2.177 --0.490021 1.1554 0.111051 1.59851 --0.490021 1.1554 -0.560784 -1.23844 -1.52965 -1.32812 2.55442 1.49318 -1.52965 -1.32812 -2.52193 -1.2522 --1.99414 -0.722309 2.76538 1.47258 --1.99414 -0.722309 -2.59578 -1.61495 -1.44634 -0.515649 1.0734 1.78067 -1.44634 -0.515649 -0.721837 -1.51659 --1.44758 -0.306381 -0.403672 0.21066 --1.37185 1.93763 -0.533758 3.70395 --1.37185 1.93763 0.474535 -3.5363 -1.99453 1.18583 2.59053 -2.52918 -1.99453 1.18583 -2.50188 2.3655 -0.174546 -1.37954 1.01384 -0.899157 -0.502503 1.92271 -2.68235 -1.15353 -0.502503 1.92271 2.45995 1.02822 --1.5435 -0.11418 2.09501 0.191378 --1.5435 -0.11418 -1.66575 -0.268082 --0.883996 0.757133 -0.608124 1.37715 -1.81083 -0.0710778 0.290278 2.46006 -1.81083 -0.0710778 0.00899755 -2.43771 --1.39053 -0.0587604 -1.27576 -0.172508 --0.0801971 1.67106 1.23089 1.67667 -0.469607 -1.41292 1.52945 -0.351597 -1.27695 -1.22149 2.15803 1.12152 -1.27695 -1.22149 -2.14848 -0.804974 -1.62121 1.35235 2.67333 -1.651 -1.62121 1.35235 -2.63428 1.43027 -0.411895 -1.50209 -1.95907 0.81746 -0.411895 -1.50209 1.59105 -0.590591 --1.85766 1.78991 -1.68968 3.85558 --1.85766 1.78991 1.69543 -3.7053 -1.99961 -1.53421 3.34807 2.29719 -1.99961 -1.53421 -3.30754 -2.14504 -1.99961 -1.53421 -0.0405322 -0.152149 --1.7231 1.86888 -1.32703 3.9068 --1.7231 1.86888 1.31458 -3.75235 --0.202626 -0.279054 0.651136 0.228209 -1.45062 1.16514 2.19233 -1.47021 --0.860476 -0.963931 -0.0537576 0.703029 --0.0135116 -1.50533 -1.48367 1.33922 --0.0135116 -1.50533 1.04837 -1.37078 --0.749273 -1.82252 0.467188 -2.80238 -0.0461129 -1.24927 -1.29183 0.982091 -1.62186 -0.324129 -0.431029 -1.98166 --0.586078 0.932947 -0.167131 1.43088 --1.37026 0.378288 -1.36554 0.852449 -0.479376 -1.8822 2.35545 -1.01251 --1.90669 0.884489 2.50025 -1.76608 --1.90669 0.884489 -2.35494 1.93804 --1.23628 -1.63317 -0.573726 -2.98924 --1.83194 -1.61976 -1.77346 -3.46426 --1.83194 -1.61976 1.79426 3.29822 -1.83968 0.595686 1.31672 -2.47434 -1.83968 0.595686 -1.09752 2.3185 --1.16272 1.42814 -0.620944 2.561 --1.16272 1.42814 0.560602 -2.26802 -0.0115446 1.92694 -2.0358 -1.88176 -0.0115446 1.92694 1.76644 1.88126 --1.47321 -0.28879 -1.5465 -0.660308 --1.19264 0.279506 -1.0373 0.740405 --1.22811 -0.885898 -1.06215 -1.69384 --1.22811 -0.885898 1.2153 1.296 --0.422407 1.47045 0.523473 1.8978 --0.422407 1.47045 -0.87367 -1.68605 -0.881045 -0.869706 0.0446299 -0.569654 -0.275398 -1.49761 1.38104 -0.837714 -1.85131 -1.32458 -2.72658 -1.95352 -0.713385 -1.35806 -2.02075 0.259277 --1.29978 1.17208 1.08044 -1.88779 -1.44392 1.97103 -3.79624 0.541179 -1.44392 1.97103 3.74591 -0.700624 -1.92431 1.24305 2.66756 -2.34463 -1.92431 1.24305 -2.58948 2.17041 -0.69184 1.94105 -2.93755 -0.863073 --1.72118 0.982205 -1.93097 2.06878 --1.72118 0.982205 2.06038 -1.85162 -0.779614 -1.11347 -1.69866 0.00155239 -0.460003 -1.312 1.35992 -0.193843 -1.99221 -0.768063 -1.54884 -2.58035 --0.97744 -1.48058 -0.26587 -2.48888 -1.1149 -0.513739 0.984286 1.28075 --0.625729 -0.633279 0.798695 0.464469 --0.625729 -0.633279 -0.435975 0.676508 --1.35844 1.35769 -1.02268 2.58553 --1.35844 1.35769 1.02491 -2.31245 -1.64216 -0.668777 1.3965 2.07828 --1.50184 0.961285 -1.5126 1.93612 --1.50184 0.961285 1.64624 -1.65545 -0.663297 1.9758 -2.96319 -0.952416 -0.663297 1.9758 2.77932 0.812165 --1.13559 0.907629 1.04018 -1.24293 -0.276283 -1.83248 -2.26432 1.38421 -0.276283 -1.83248 1.98219 -1.29933 -0.339994 -1.3968 -1.75076 0.806824 -0.924234 -0.284836 0.100862 -0.979164 --1.77787 1.01478 -2.03259 2.15971 --1.77787 1.01478 2.15386 -1.9558 --1.76484 -1.15113 -1.93989 -2.43408 --1.76484 -1.15113 2.03123 2.22902 -1.16619 -0.637706 -0.284315 -0.598744 -1.97184 0.65268 1.46792 -2.72367 -1.97928 -1.13971 2.48359 2.52425 -1.97928 -1.13971 -2.38736 -2.35786 --1.66617 -0.478872 -1.94651 -1.03836 --0.012063 1.4493 -1.42553 -1.26806 --0.012063 1.4493 0.958975 1.30837 -0.601766 -1.55649 -2.2233 0.599243 -0.601766 -1.55649 1.96021 -0.347639 --0.212336 -0.00313481 -0.298614 -0.513616 --0.212336 -0.00313481 -0.303335 0.51047 -0.486387 1.81498 -2.49413 -1.05028 -1.69963 -0.583062 -1.0059 -2.02087 -1.15474 -1.54141 -2.67663 -0.351555 -1.15474 -1.54141 2.60211 0.607927 -1.47706 -0.894324 1.72839 1.68666 --0.55987 -0.100266 0.892955 0.0824353 --0.85411 1.65748 -0.279346 -2.42047 --1.17808 -1.05193 0.96525 1.54047 --1.32085 -0.884468 1.3759 1.37341 --1.78022 1.27335 1.97124 -2.49855 --0.839706 1.28608 0.192491 -0.396887 --1.10881 -0.696621 1.1968 0.901374 -1.83722 -0.343041 -0.5549 -2.41442 --1.37033 1.14586 -1.18086 2.20914 --1.37033 1.14586 1.24176 -1.90105 -1.7247 0.431094 0.977203 -2.28834 -1.7247 0.431094 -0.694895 2.14421 -1.73667 -0.600965 1.29916 2.27457 -1.73667 -0.600965 -1.06215 -2.0923 --0.999454 -1.28696 0.366324 1.82117 -1.51859 0.994815 1.92992 -1.70422 -1.51859 0.994815 -1.81121 1.42195 -1.51859 0.994815 -0.118708 0.282264 -1.75453 -0.878622 1.83637 2.20586 -1.75453 -0.878622 -1.67959 -1.99584 -1.16624 1.21529 2.0547 -0.941195 -1.16624 1.21529 -2.07377 0.596331 -0.299917 1.42051 1.26216 0.676506 -1.54594 1.24913 -0.0511212 0.247796 --1.64916 1.42125 -1.5386 2.91389 --1.64916 1.42125 1.57065 -2.70512 -0.130381 1.57188 -1.73751 -1.25537 -0.130381 1.57188 1.33068 1.20335 -1.63865 1.24527 2.47744 -1.76517 -1.63865 1.24527 -2.4156 1.5371 -1.15392 0.619331 -0.849167 0.66169 -1.15392 0.619331 -0.294695 0.637886 --0.850509 -1.43745 0.182892 0.314433 --0.459732 -1.10007 0.490115 0.365699 -1.97181 -1.08031 -2.24754 -2.3748 -0.0760257 -1.51765 -1.60782 1.25421 -0.0760257 -1.51765 1.17007 -1.23392 --0.338533 1.28003 0.399779 1.57975 --0.338533 1.28003 -0.850919 -1.33507 --0.973296 -0.573148 -0.770502 -1.1651 --0.973296 -0.573148 1.11993 0.646519 --1.68793 -0.413882 2.28478 0.746724 --1.89944 -1.77736 -1.79258 -3.86363 --1.89944 -1.77736 1.80255 3.71609 --1.99595 0.284149 2.9112 -0.573145 --1.99595 0.284149 -2.67444 0.643571 --1.99595 0.284149 -0.236761 -0.0704269 -1.71821 -1.52915 3.10791 1.70196 -1.71821 -1.52915 -3.08651 -1.51437 --1.04867 1.56588 0.195086 -2.43419 -1.51582 1.6415 3.15262 -1.19053 -1.51582 1.6415 -3.16883 0.991507 --0.660596 -1.93152 -0.938004 2.72508 --0.972017 1.79521 0.060204 3.01204 -0.996673 -1.0814 1.70276 0.79397 -0.996673 -1.0814 -1.74933 -0.358074 --1.54934 -0.612701 1.95415 1.04791 --1.54934 -0.612701 -1.70039 -1.29167 --0.545 -1.92669 -1.14059 2.58108 --0.150128 -1.74758 1.256 -1.88544 --0.093582 -1.38058 -1.25625 1.2649 -1.80854 -1.42865 2.97316 1.97039 -1.80854 -1.42865 -2.9301 -1.78711 -0.997045 -1.98382 -3.35706 0.363909 -0.997045 -1.98382 3.23669 -0.200752 --1.54079 0.382049 -1.69389 0.840166 -1.98517 -0.913113 2.01109 2.65401 -1.98517 -0.913113 -1.87414 -2.49439 --0.985349 -1.14751 0.482075 1.51385 --1.55554 -1.04136 1.68917 1.85053 --1.35295 -1.52748 0.852921 2.65542 -0.214856 1.02982 0.403489 0.793533 -0.214856 1.02982 0.835101 -0.170467 --1.25728 1.02478 -1.04873 1.93758 --1.25728 1.02478 1.1379 -1.56822 -1.69815 -0.0695672 0.300737 2.24321 -1.69815 -0.0695672 0.0368697 -2.21761 --0.728869 0.192903 1.02813 -0.176997 -1.76126 -0.521406 -0.9022 -2.18174 --0.911792 1.06619 0.424575 -1.23949 -1.34561 -1.35529 2.45171 1.12923 -1.34561 -1.35529 -2.45561 -0.857224 --1.27407 -1.38276 -0.851748 -2.56878 --1.27407 -1.38276 0.830128 2.28367 --0.79244 1.38749 -0.148192 -1.84019 --1.29488 1.80926 -0.514577 3.37503 --1.29488 1.80926 0.448929 -3.18323 --0.0467729 -1.59893 0.385067 0.0360341 -0.770739 1.1179 -1.70052 -0.0169428 -0.770739 1.1179 1.54078 -0.453792 --0.670627 0.897038 -0.28344 1.44355 --0.670627 0.897038 -0.310483 -0.860272 --0.670627 0.897038 0.593923 -0.583274 --0.0317496 0.00979342 0.319912 -0.0320365 --0.0317496 0.00979342 -0.187653 -0.260988 --0.0317496 0.00979342 -0.132259 0.293024 -1.55167 0.750281 -1.29585 1.61506 --1.91116 -1.68338 -1.89593 -3.66558 --1.91116 -1.68338 1.91561 3.51259 --1.40037 0.333272 -1.41263 0.762938 --1.8306 0.827889 2.37574 -1.60729 --1.8306 0.827889 -2.21355 1.79216 --1.71142 1.74604 1.40912 -3.46715 -0.754383 1.61688 -2.46311 -0.417009 -0.754383 1.61688 2.26537 0.172632 -1.91015 1.30248 2.78317 -2.27513 -1.91015 1.30248 -2.71518 2.10055 --1.36985 0.0494241 1.82154 -0.0752602 --0.124146 -1.20725 -1.0689 1.08444 --0.124146 -1.20725 0.510062 -1.26082 -0.503238 -0.366338 0.657306 0.672549 --0.979844 -0.681102 1.04551 0.773996 -1.92344 1.60121 3.43302 -2.07629 -1.92344 1.60121 -3.40433 1.91928 -0.741122 -1.80984 2.58455 -0.447724 -1.94223 -1.45696 3.13554 2.23188 -1.94223 -1.45696 -3.08837 -2.06886 --1.54986 -1.96096 0.037048 0.155991 -1.88607 1.30333 2.76841 -2.22397 -1.88607 1.30333 -2.70151 2.04558 -1.23782 1.76174 -3.17222 0.321731 -1.23782 1.76174 3.09978 -0.52395 -1.20623 1.59404 -2.81863 0.40677 -1.20623 1.59404 2.75145 -0.645876 -0.829109 1.65634 2.42804 0.0948252 -0.607751 -1.84786 -2.68591 0.896012 -0.607751 -1.84786 2.47256 -0.736667 -1.71359 -1.68641 3.43076 1.55293 -1.71359 -1.68641 -3.42827 -1.3802 --1.96719 -1.60389 -2.08164 -3.53308 --1.96719 -1.60389 2.11313 3.38107 --1.10663 -0.944476 -0.844131 -1.73492 --1.10663 -0.944476 0.952633 1.27331 --1.10663 -0.944476 -0.108502 0.461608 -1.5772 -1.62176 3.17112 1.33227 -1.59324 0.925104 1.84463 -1.87872 -1.59324 0.925104 -1.69877 1.61862 -1.26488 0.529369 -0.591557 1.09641 -1.25497 0.60935 -0.803846 0.986344 --1.25973 -1.76274 0.424365 3.04968 -1.68621 -1.47569 2.9718 1.68135 -1.68621 -1.47569 -2.94608 -1.48408 -1.48248 -1.65248 3.14216 1.11366 -1.48248 -1.65248 -3.16432 -0.91267 --1.18458 -1.42787 0.60517 2.28875 --1.64401 0.191587 -1.89818 0.431363 --0.479777 1.96638 1.08731 2.68408 --0.479777 1.96638 -1.30254 -2.57261 -0.422891 1.64964 -2.17622 -0.957526 -1.53973 -1.04784 -1.93558 -1.4395 --1.68736 -0.909596 -1.8919 -1.90932 --1.68736 -0.909596 2.04074 1.68466 --0.10916 -0.411061 -0.0387417 -0.771 --0.10916 -0.411061 -0.610642 0.464521 --1.7727 -1.30651 -1.86739 -2.75992 --1.7727 -1.30651 1.92912 2.5634 -0.369297 1.87373 -2.44212 -1.29948 -0.369297 1.87373 2.18544 1.19492 --0.850449 -0.129336 -0.538396 0.576956 --1.51103 -0.925495 -1.54425 -1.87287 --1.51103 -0.925495 1.69008 1.59461 -1.99821 0.691697 1.55635 -2.76612 -1.99821 0.691697 -1.37938 2.62803 -1.35656 -0.661063 -0.994827 -1.22005 -1.94575 1.26574 2.72949 -2.37503 -1.94575 1.26574 -2.6545 2.20491 -1.42124 1.99514 -3.82422 0.46929 -1.42124 1.99514 3.76997 -0.626557 --1.26534 -1.004 -1.07255 -1.90645 --1.20719 0.682981 -1.08845 1.36138 --1.20719 0.682981 1.34902 -0.956938 --1.4421 0.493546 -1.50685 1.05843 -1.84165 0.734466 1.59032 -2.43513 --1.86915 1.76405 -1.73703 3.80858 --1.86915 1.76405 1.74596 -3.65734 --1.10515 -1.40982 0.461886 2.1748 --0.916537 -0.0349092 -0.629864 -0.625184 --0.916537 -0.0349092 -0.600278 0.58725 --0.713175 1.65754 0.331787 2.49806 -1.47547 0.692206 -1.12871 1.47608 --1.71323 1.00802 -1.90379 2.11749 --1.71323 1.00802 2.02683 -1.89828 -1.72117 -0.904711 1.87083 2.1292 -1.72117 -0.904711 -1.71997 -1.90892 -0.728358 1.98972 2.89384 0.711964 -0.929787 1.41131 -2.26951 0.0482309 -0.929787 1.41131 2.13837 -0.365385 -1.70822 0.27572 -0.369866 2.17373 -0.322967 0.80747 0.237206 0.749393 -1.7328 0.824431 1.72238 -2.18825 -1.7328 0.824431 -1.54914 1.97532 -1.7328 0.824431 -0.173239 0.212924 --1.32821 1.97964 0.335707 -3.57802 -1.5094 0.847091 1.66193 -1.76732 -0.416856 1.33407 1.3115 0.297337 --1.67283 -0.695675 2.13797 1.26336 --1.67283 -0.695675 -1.9273 -1.47753 --1.51177 -1.98497 -0.768526 -3.94486 --1.51177 -1.98497 0.725723 3.78977 -1.29512 1.09162 -1.90157 0.909747 -1.29512 1.09162 -0.0504861 0.342745 -1.49593 -1.27313 2.42438 1.47272 -1.49593 -1.27313 -2.38522 -1.2171 --1.78387 -0.548134 2.41697 1.03294 --1.78387 -0.548134 -2.18263 -1.19566 --0.813512 1.69342 0.213793 2.66694 --0.562985 1.62606 0.519088 2.27642 --0.562985 1.62606 -0.783187 -2.07468 -1.74227 -1.65408 3.38903 1.6427 -1.74227 -1.65408 -3.38036 -1.46986 --1.74847 -0.639521 2.30974 1.19354 --1.74847 -0.639521 -2.09293 -1.37955 --1.74847 -0.639521 -0.216812 0.186011 --1.23834 1.1491 -0.948223 2.13763 --1.23834 1.1491 0.982969 -1.7848 --0.138543 1.49385 0.891282 1.55073 -1.76005 -0.770733 1.63055 2.26254 -1.76005 -0.770733 -1.44441 -2.06194 --1.35647 -0.996249 1.3462 1.60456 -0.389467 1.29898 1.20286 0.265737 -1.66033 -0.794224 1.63457 2.06443 -1.66033 -0.794224 -1.44654 -1.83129 -1.81792 -1.00798 2.12242 2.266 -1.81792 -1.00798 -1.99962 -2.06831 -0.177803 0.851255 -1.05629 -0.527304 -1.52138 -1.02587 1.98769 1.69067 -0.0894455 -1.23073 0.647352 0.0507322 -1.78823 -1.92689 4.01926 1.48003 -1.78823 -1.92689 -4.03012 -1.33587 -0.688206 -1.73088 2.37489 -0.436389 -0.313668 1.25917 0.942409 0.237158 --1.77674 -0.0917293 -2.19053 -0.205885 -1.7728 -1.70974 3.53473 1.65666 -1.7728 -1.70974 -3.529 -1.49209 -0.752493 1.3286 1.80513 -0.189175 -1.9032 1.8182 -0.00645232 0.1441 -1.24142 0.205451 0.571637 -1.49648 -1.24142 0.205451 -0.0138974 1.37704 --1.9211 -0.683335 2.63211 1.35903 --1.9211 -0.683335 -2.44722 -1.511 -0.828158 -1.26991 -1.96635 0.0194864 -0.828158 -1.26991 1.80852 0.367325 --0.966133 -1.03848 0.00193351 0.538864 -0.0661774 1.59993 -1.69213 -1.36731 -0.0661774 1.59993 1.29966 1.34937 -0.424564 -1.14311 0.385169 -0.555338 -0.653924 -1.16851 -1.7047 0.212466 --1.43302 0.541708 -1.48888 1.14693 --0.875154 -1.41834 -0.0105404 1.97362 --0.817937 -0.876547 0.66287 0.778703 --1.8459 1.29667 -2.02705 2.78389 --1.8459 1.29667 2.09417 -2.59948 -1.41463 -1.54434 -2.88677 -0.859578 --1.57241 -0.483179 -1.7573 -1.04139 -1.95986 -1.25989 2.72632 2.40879 -1.95986 -1.25989 -2.65005 -2.24075 -1.60486 -0.396516 -0.568138 -1.91333 --0.787174 1.19519 0.238789 -0.463853 --1.29767 -0.417556 1.63183 0.612577 -1.22554 0.289397 -0.124046 1.29604 -1.92371 0.591628 1.33051 -2.64255 -1.92371 0.591628 -1.12465 2.50468 -1.86182 -0.710056 1.54902 2.48354 -1.86182 -0.710056 -1.35908 -2.31558 -0.98287 1.10233 1.72109 -0.756022 -0.98287 1.10233 -1.77884 0.325426 -1.98699 -1.57283 3.42301 2.23868 -1.4374 0.639333 1.2762 -1.73016 -1.52289 1.15929 -2.16278 1.34211 -1.74783 1.39735 2.86171 -1.86948 -1.74783 1.39735 -2.81845 1.67453 --0.33158 -1.53521 -1.07338 1.70378 --0.33158 -1.53521 0.718512 -1.8658 -1.9276 1.40651 3.01633 -2.23821 -1.9276 1.40651 -2.96308 2.07073 -1.14686 0.566876 -0.341037 0.758477 -1.35921 -0.852287 1.5949 1.50858 -1.35921 -0.852287 -0.163022 -0.363765 --0.0174731 1.96573 1.78754 1.98502 --1.3097 0.903121 1.34085 -1.39681 -0.808 -1.81121 2.67456 -0.329742 -1.79857 -0.544651 1.20726 2.40699 -1.79857 -0.544651 -0.968661 -2.25165 --1.60884 0.771793 -0.19327 -0.240942 -1.47366 -0.366411 0.830233 1.85159 -1.80799 1.94774 4.08516 -1.50236 -1.80799 1.94774 -4.09575 1.3613 -0.214251 1.68278 -1.98022 -1.28334 -0.214251 1.68278 1.63573 1.20049 -1.67812 0.43496 0.977235 -2.20133 -1.67812 0.43496 -0.682069 2.04539 --1.98543 1.92315 -1.85813 4.2667 --1.98543 1.92315 1.86239 -4.13582 -0.328507 -0.485311 -0.86188 0.226402 -0.328507 -0.485311 0.698357 0.51412 -1.92566 -1.97423 4.26295 1.73853 -1.92566 -1.97423 -4.26629 -1.60718 -0.366891 1.54 -1.96376 -0.917244 -0.917316 1.52521 -2.45424 -0.0630049 -0.917316 1.52521 2.31157 -0.214773 --1.12358 0.668325 -0.963059 1.32254 -0.0903567 -1.999 -2.25014 1.87617 -0.0903567 -1.999 2.00068 -1.85546 --1.76811 -0.0991332 2.49345 0.183747 -0.353202 -1.93925 -2.52088 1.40706 -1.62668 1.76205 3.50588 -1.29924 -1.62668 1.76205 -3.5199 1.12625 -1.46171 -1.16546 2.20088 1.49002 --1.88065 -0.946515 -2.27596 -2.06013 --1.88065 -0.946515 2.40977 1.87999 -1.57132 0.315115 -0.389854 1.88645 --0.889909 -1.23866 0.180471 1.61403 -0.882101 0.34521 0.722627 -1.03412 --0.667292 1.38195 0.105824 2.0478 --0.667292 1.38195 -0.384228 -1.73036 --1.30162 -1.97093 -0.359755 -3.69528 --1.30162 -1.97093 0.288999 3.5302 -1.27232 -0.0556586 0.35165 1.52312 -1.27232 -0.0556586 0.189114 -1.4922 --1.36306 -0.542071 -1.3634 -1.14464 --1.12733 1.74715 0.169009 -2.87956 -0.644949 1.4676 -2.1293 -0.452603 -0.644949 1.4676 1.87546 0.154778 --1.12923 -1.6289 -0.385224 -2.88164 --1.12923 -1.6289 0.294313 2.64181 --1.66224 1.80936 -1.25235 3.72454 --1.66224 1.80936 1.23845 -3.5592 -0.908705 -0.916706 1.40844 0.805511 -0.908705 -0.916706 -1.45091 -0.268005 -0.085278 0.835523 -0.981207 -0.587749 -0.368439 -0.0250692 0.364851 0.63509 -0.368439 -0.0250692 -0.694254 0.0120339 --0.283126 0.237347 -0.221991 0.704394 -0.0838815 -0.660945 -0.859407 0.477614 -0.427858 -1.82047 2.17415 -1.01694 --0.855501 -1.33144 -0.208856 -2.14924 --1.46531 -0.254899 -1.52303 -0.592607 --1.19576 0.785886 1.25065 -1.10509 --1.47535 -0.784366 1.72266 1.31048 -1.57441 1.83202 3.5987 -1.12025 -1.57441 1.83202 -3.62451 0.951172 -1.44376 -0.613501 -0.935059 -1.44858 --1.64325 1.923 0.0243514 -0.154618 -1.72223 -1.87424 -3.8514 -1.23622 -1.85788 -1.14214 2.41646 2.27024 -1.85224 -1.40684 2.96094 2.07836 -1.85224 -1.40684 -2.9118 -1.90009 -1.09888 -1.47995 -2.51859 -0.295739 -1.09888 -1.47995 2.43544 0.574084 --1.81464 -1.80348 -1.5838 -3.84789 --1.81464 -1.80348 1.5849 3.69497 --1.10596 0.289001 1.41208 -0.36727 --1.10596 0.289001 -0.920056 0.787355 --1.99737 -0.505677 2.85703 1.02509 --1.99737 -0.505677 -2.65079 -1.13834 --0.430946 -1.55272 0.612575 -2.01448 --0.430946 -1.55272 -0.934275 1.82523 -1.26291 -1.34328 2.35713 0.992564 -1.26291 -1.34328 -2.37709 -0.702417 --0.237649 -0.914468 0.136399 -1.16328 --0.237649 -0.914468 -0.767384 0.847506 -1.42944 -1.76169 3.30559 0.898046 -1.42944 -1.76169 -3.34552 -0.708535 --0.878924 1.92329 0.368983 3.128 --0.878924 1.92329 -0.516109 -2.95982 -0.0120924 1.37525 0.861132 1.19777 --1.25332 -0.956225 -1.0745 -1.82062 --1.68131 -0.235095 -1.98171 -0.524749 --1.51015 -0.640734 1.87041 1.07698 --1.51015 -0.640734 -1.6216 -1.3391 --1.65387 0.678733 2.11111 -1.22166 --1.73065 -1.52264 1.65722 2.99431 --0.341175 0.401246 -0.206204 0.84277 --1.39267 -0.611686 -0.276092 0.306766 --0.361789 -1.58283 0.741793 -1.96623 --0.361789 -1.58283 -1.073 1.8065 -1.64411 -1.41381 2.81295 1.6474 -1.64411 -1.41381 -2.78203 -1.43723 -0.744033 -0.982475 -1.49557 -0.00794381 -0.744033 -0.982475 1.35353 0.553289 --1.93929 1.41687 -0.0530006 -0.164942 --0.634928 1.35353 -0.422954 -1.6543 -0.211273 1.72462 1.70468 1.26257 -1.4001 1.59973 2.95862 -1.0043 -0.254175 1.53989 1.43213 0.935974 --1.18702 1.28508 -0.771809 2.33488 --1.18702 1.28508 0.748984 -2.00299 --0.672392 1.00914 -0.214112 1.57543 -0.146828 1.81623 -2.07346 -1.5441 -0.146828 1.81623 1.77326 1.49929 -0.168559 0.124852 -0.581469 -0.120182 -0.212128 1.86247 -2.22407 -1.51452 --0.0418458 0.954656 0.285921 1.02465 --0.423862 1.32558 0.355758 1.72439 --0.423862 1.32558 -0.757521 -1.46138 -1.21591 1.7293 -3.08874 0.308424 -1.21591 1.7293 3.01384 -0.518148 -0.439843 0.742934 -1.10561 -0.242689 --1.56847 1.01361 -1.61613 2.06421 --1.46872 1.17172 1.41272 -2.03739 --1.16433 -0.0362561 1.52894 0.0481215 --0.993415 -1.19897 -0.520192 -2.0583 -1.24751 -1.22011 -2.12892 -0.748449 -0.79311 1.99664 0.157324 0.149659 --1.32504 1.26509 1.04373 -2.09492 --1.32504 1.26509 -0.0175675 -0.299908 --0.631543 1.58623 0.373327 2.29858 --0.631543 1.58623 -0.624133 -2.07044 --1.07834 0.83525 1.02588 -1.0702 --1.07834 0.83525 -0.178345 -0.487276 -0.475696 1.45143 1.60236 0.402696 -0.666888 1.24646 -1.8227 -0.24597 -0.666888 1.24646 1.58459 -0.173317 -0.266472 1.94366 -2.41382 -1.54325 --1.19456 -1.85179 -0.281129 -3.35283 --1.11834 -1.69707 -0.299729 -2.99205 --1.77595 -0.889922 -2.07883 -1.90206 --1.77595 -0.889922 2.2295 1.7008 -1.62468 -0.730216 1.50243 2.02444 -1.62468 -0.730216 -1.28853 -1.7852 -0.344491 0.432171 -0.834603 -0.195394 -0.344491 0.432171 0.667231 -0.538 -1.74641 -0.220721 -0.272912 -2.26944 -0.224292 1.17884 0.587944 0.739245 --0.149234 -0.129065 -0.39729 0.420614 -1.36924 -0.385512 -0.401434 -1.45707 -0.436852 1.38504 1.42933 0.35834 -1.96852 0.814852 1.80029 -2.66106 -1.96852 0.814852 -1.64339 2.50493 -1.25711 -1.96998 -3.60529 -0.157256 -1.25711 -1.96998 3.52859 0.323141 -1.5706 0.160723 -0.0968774 1.95046 --1.92158 1.90933 1.72702 -4.04122 -1.82542 -1.55556 3.25322 1.90377 -0.796429 -1.62646 2.33545 -0.113328 --1.70789 1.51993 -1.58742 3.15846 --1.70789 1.51993 1.6102 -2.9683 -0.800737 -1.31772 0.176063 -0.367868 -1.21755 -0.209177 -0.00468401 -1.34088 -0.707532 -1.81845 -2.74831 0.699007 --0.436112 1.85236 0.997437 2.44703 --0.436112 1.85236 -1.24198 -2.32528 --1.21292 -1.32388 -0.788165 -2.42 --1.21292 -1.32388 0.763267 2.10606 --1.07202 1.05084 0.769112 -1.42272 -1.85466 0.200132 0.5419 -2.55399 -1.85466 0.200132 -0.263233 2.49556 -0.134715 1.08994 0.475184 0.878659 -0.134715 1.08994 0.753286 -0.131936 -1.36197 -1.55149 2.82948 0.978564 -1.36197 -1.55149 -2.86015 -0.74733 --0.702039 1.03694 -0.186849 -1.0562 --1.79162 0.547314 -0.233179 -0.160711 -0.967753 -1.58142 -2.59483 0.0227148 --1.33172 -1.60047 -0.779818 -3.0141 --1.33172 -1.60047 0.737835 2.78588 --1.48975 0.790279 1.74465 -1.33059 --1.27327 -1.32021 0.888128 2.15663 --1.77444 1.93351 -1.3776 4.09475 --1.77444 1.93351 1.36523 -3.94993 --1.22905 -1.69795 -0.499705 -3.10148 --1.22905 -1.69795 0.42782 2.88423 -1.02072 0.380302 0.788716 -1.18982 -1.02072 0.380302 -0.0409705 0.982547 --0.316279 -0.631041 -0.0952368 -1.00392 --1.72984 -0.653609 -2.05181 -1.4047 --1.51907 -0.425621 -1.65265 -0.927546 --1.35779 0.197504 -1.28174 0.514115 --0.73876 0.887798 -0.368377 1.47152 --0.73876 0.887798 0.612422 -0.666557 --0.73876 0.887798 -0.244045 -0.80496 -0.348218 1.54398 0.37728 0.178876 --1.65045 1.46357 1.53642 -2.79635 -1.8317 0.231433 0.603505 -2.50884 -1.8317 0.231433 -0.321125 2.43935 -1.89225 -1.59131 3.38553 2.01691 -1.89225 -1.59131 -3.35776 -1.85575 --1.93572 1.28537 -2.22634 2.81312 --1.93572 1.28537 2.29847 -2.64284 -1.12848 -1.76902 -3.08454 -0.103291 -1.12848 -1.76902 2.98995 0.308751 --1.53355 0.901514 1.74966 -1.56557 --1.26363 0.831905 -1.14017 1.61777 --1.26363 0.831905 1.32163 -1.23637 --0.884681 -1.94316 0.382779 -3.16961 --0.884681 -1.94316 -0.527508 3.00499 --0.0777795 -1.99595 1.74728 -2.12707 -1.09549 1.17389 0.0320973 0.375205 -1.18981 -0.572306 -0.600491 -0.7607 -1.18981 -0.572306 -0.488876 -0.606768 --1.53619 -1.76615 1.00607 3.33922 --1.43643 -0.244715 1.89941 0.388375 --1.43643 -0.244715 -1.46086 -0.579197 -1.26124 0.985824 -1.67456 0.888367 --1.33756 1.99464 -0.405143 3.78087 --0.233382 1.40662 -1.09745 -1.42711 --0.233382 1.40662 0.665583 1.58652 --1.10456 -1.10159 0.773786 1.55621 --1.8439 0.483849 2.55682 -0.930321 --1.35988 1.7983 0.59686 -3.2281 --0.0320459 -1.90978 -1.94914 1.91528 --0.0320459 -1.90978 1.67573 -1.92736 --0.153783 -0.820031 0.122866 -1.04018 --0.943674 -1.6213 -0.0751212 -2.68695 --0.943674 -1.6213 -0.0687659 2.43987 --0.307071 -1.72152 -1.30388 1.96598 --0.307071 -1.72152 1.00322 -2.07883 -1.99712 -1.05945 -0.109927 -0.162622 -1.84506 1.08476 2.292 -2.27803 -1.84506 1.08476 -2.18594 2.0862 --1.03825 -1.48379 -0.362812 -2.54899 --1.03825 -1.48379 0.254727 2.2591 -1.77911 0.974737 2.03605 -2.20658 -1.23005 1.2954 2.24477 -0.97823 -1.23005 1.2954 -2.26358 0.669758 -1.82911 -1.49514 -3.09337 -1.78539 -0.291246 -1.93805 -2.43828 1.49895 -1.6872 -1.50213 -3.00434 -1.46682 -1.63081 -1.56481 3.10486 1.49249 -1.63081 -1.56481 -3.09731 -1.29726 -0.413204 -1.36342 1.35156 -0.358655 -0.386335 1.64825 -2.13383 -1.00791 -1.19837 0.725768 -1.10686 0.814128 --0.679959 1.61743 0.336981 2.39952 -0.428347 -1.68197 -2.22883 0.985413 --1.33993 0.161594 -1.22403 0.451554 --0.276188 -1.58738 -1.20838 1.72772 --0.276188 -1.58738 0.858266 -1.85767 -0.189293 -0.0650043 -0.578488 0.0608395 --1.54502 -0.948475 -1.59924 -1.92974 --1.54502 -0.948475 1.73791 1.66289 --1.31546 -0.340032 1.68661 0.503185 --1.31546 -0.340032 -1.25916 -0.79611 -0.347556 -1.48051 1.45369 -0.674859 --1.0343 -1.77561 -0.0700296 -3.04497 --1.05446 1.41614 0.353129 -2.1383 -1.16656 1.82096 -3.22064 0.126899 -1.16656 1.82096 3.13213 -0.32075 -1.57026 0.0786654 0.335073 -2.01083 -1.57026 0.0786654 0.0534712 1.97655 -0.399753 1.08958 -1.43693 -0.477053 -0.538579 -0.496759 0.160623 -0.750437 --0.143041 -0.740746 0.079481 -0.986538 --1.3692 0.23341 1.79665 -0.356127 --1.93058 0.691632 2.64774 -1.38025 --1.93058 0.691632 -2.46559 1.53129 -1.18091 0.417065 -0.260087 1.10333 -1.18091 0.417065 -0.606464 0.291414 -1.24796 -0.754131 -1.17821 -0.927059 --1.24419 -0.541554 1.4937 0.770905 --1.24419 -0.541554 -1.16343 -1.14033 --0.0729496 1.88752 -1.85958 -1.93625 --0.0729496 1.88752 1.58135 1.96089 -0.520753 -1.85239 -2.59267 1.04046 -0.520753 -1.85239 2.36039 -0.897482 -0.212448 0.946364 -1.16059 -0.563284 -0.897086 0.513376 0.915706 -1.0076 -0.754434 1.95373 2.86293 0.615345 --1.16276 -1.09496 0.892156 1.60545 --1.7039 1.27209 -1.74691 2.64714 --1.25518 -0.116949 -1.0217 -0.441401 -1.92856 -0.696616 -1.35964 -2.46993 -0.848277 -0.729894 1.14262 0.854414 -0.848277 -0.729894 -1.17652 -0.197852 -0.980235 1.64841 2.59785 -0.178976 --1.05579 -0.948482 -0.098013 0.49536 --1.79026 0.188895 -2.22054 0.422277 -0.826894 1.45514 -2.26276 -0.157115 --1.77663 -0.970545 2.18041 1.86451 --1.99854 0.483884 2.86643 -0.980738 --1.99854 0.483884 -2.65696 1.09018 -1.41183 1.75376 3.27145 -0.871337 -1.41183 1.75376 -3.31346 0.679262 --0.676978 1.75888 0.50657 2.61336 --0.676978 1.75888 -0.715897 -2.42784 -0.986119 0.483049 0.907414 -1.12298 -0.986119 0.483049 -0.840482 0.261534 -0.986119 0.483049 -0.0669327 0.861446 -0.690481 1.01565 -1.51733 -0.0787656 -1.94594 -1.92858 -0.00110899 -0.133142 --1.10824 1.99397 0.0369545 3.5244 --1.49246 1.57854 -1.10688 3.10805 -1.97557 -1.07616 2.3475 2.55238 --0.349604 -0.103983 -0.409576 0.559578 --0.0427089 -0.415789 -0.642476 0.427244 --0.0427089 -0.415789 0.0058583 -0.756038 -0.658393 -1.04609 0.201795 -0.534292 -0.678664 -1.31231 -1.9264 0.27634 -0.678664 -1.31231 1.6888 0.104251 --0.572128 -1.42847 -0.590957 1.74024 -1.42844 -0.283957 0.691405 1.78292 --1.45993 0.629452 1.78952 -1.03013 --1.45993 0.629452 -1.52976 1.31054 --0.88546 -0.938046 0.617619 0.952206 --0.88546 -0.938046 -0.0898244 0.662852 --0.719452 0.407573 -0.453796 -0.589656 --0.662463 -1.70969 0.470338 -2.51952 --0.662463 -1.70969 -0.690756 2.32322 -0.642232 1.24182 1.54677 -0.147548 -1.44322 0.645078 -1.00572 1.42915 --1.90511 -0.043872 2.7571 0.0856098 --0.847669 -1.89027 -0.53934 2.86079 -1.9143 0.449873 1.04344 -2.65336 --0.2265 -1.89003 -1.62852 2.13526 --0.692023 0.154537 -0.491892 -0.605093 --0.0340734 1.75289 -1.74468 -1.6929 --0.0340734 1.75289 1.42106 1.71169 --1.55384 -1.40931 -1.35696 -2.82288 --1.55384 -1.40931 1.38028 2.5963 --0.939006 1.78396 -0.245839 -2.75413 -0.89414 0.734551 1.17382 -0.905648 -0.89414 0.734551 -1.17986 0.259599 --1.30871 -0.871441 -1.20217 -1.69999 --1.7816 1.61795 1.68398 -3.24895 --0.869142 -0.247515 1.15194 0.256318 --0.869142 -0.247515 -0.652225 -0.802663 -0.150439 1.16479 -1.31316 -0.798766 --0.372305 1.99614 0.224561 -0.0872713 --1.96392 -1.98142 1.75446 4.25129 -0.909081 -0.553289 0.966254 1.00738 -0.247265 0.780679 -1.042 -0.42736 -1.61984 0.207437 -0.202913 2.02594 -0.507833 1.28503 -1.75661 -0.492645 --0.00241038 -1.20053 0.581559 -1.09647 --0.445617 -1.99204 -1.39325 2.57519 --0.445617 -1.99204 1.17759 -2.67681 -1.5574 1.1081 2.16122 -1.70481 -1.5574 1.1081 -2.07379 1.44433 -0.623423 -1.64012 2.13095 -0.426041 -1.86682 -0.249705 0.640089 2.57771 -1.32247 -1.84459 3.35483 0.596572 -0.229021 1.70927 -2.03372 -1.29604 -1.8905 -1.07627 -2.19261 -2.19293 -0.931865 -0.284703 -0.759088 -0.113464 -1.71834 0.467236 -0.76792 2.11484 --1.33409 0.0343413 -1.0856 0.143788 --1.07144 1.66452 0.141558 -2.65502 -1.24119 -0.544471 1.06466 1.45114 -1.24119 -0.544471 -0.597312 -1.01413 -1.24119 -0.544471 -0.467346 -0.437006 --1.79188 0.949277 -2.08903 2.0305 --1.79188 0.949277 2.22508 -1.83089 --1.79188 0.949277 -0.13605 -0.199605 --1.4261 0.436672 1.8243 -0.693546 -0.0867829 1.19009 0.671335 -0.0783106 -0.742622 1.12852 -1.70077 -0.0636262 -0.742622 1.12852 1.52441 -0.407481 -0.490963 -1.46775 1.65293 -0.402497 --0.0808917 1.18919 -1.10283 -1.02966 --0.0808917 1.18919 0.518323 1.19364 -0.94437 -1.4759 -2.39132 -0.0235943 -1.8861 0.0175967 0.174618 -2.60384 -1.8861 0.0175967 0.103227 2.59886 --1.99878 0.615873 2.82025 -1.25295 --1.99878 0.615873 -2.63246 1.38216 --0.962349 -1.02484 0.594879 1.23006 -1.91134 0.0939508 0.326764 -2.66283 -1.91134 0.0939508 -0.0575705 2.63723 -0.793091 -1.6001 2.2864 -0.0856203 --1.42527 -1.01674 1.4578 1.70034 -0.322958 -1.70848 1.83048 -1.04459 --0.645381 1.18267 -0.0482339 1.76651 -0.863415 -0.115265 -0.740578 -0.0330642 -0.2716 0.997198 -1.24978 -0.544822 -1.95404 0.674011 1.50622 -2.68083 --1.63914 -0.29398 -1.89309 -0.652982 -0.16621 1.17148 0.745598 -0.0458181 -1.28379 1.04721 1.87014 -1.26517 -1.28379 1.04721 -1.80743 0.907859 -1.14501 1.8275 -3.21238 0.0789278 -1.14501 1.8275 3.11952 -0.272088 -0.785067 1.03391 -1.58505 0.0444224 --0.936398 1.15643 -0.46457 1.95434 -1.86488 -0.520078 1.17394 2.54188 -1.86488 -0.520078 -0.943675 -2.40556 --0.807433 -1.14933 0.0627769 1.33885 --1.85404 -1.63866 -1.80644 -3.52243 --1.85404 -1.63866 1.82679 3.36028 -0.251094 1.18225 0.579218 0.693436 --0.276122 -1.94906 1.37749 -2.36388 --1.29522 0.494449 1.59408 -0.726947 --1.29522 0.494449 -1.24702 1.0628 --1.85309 -0.471227 2.57898 0.908724 --1.85309 -0.471227 -2.34057 -1.04161 --1.57548 1.51973 -1.31807 3.05766 --1.57548 1.51973 1.3263 -2.84859 -1.45141 0.804947 1.56117 -1.68684 -1.45141 0.804947 -1.36761 1.36757 --1.84161 1.72125 -1.71267 3.69186 -1.11407 0.931193 -0.0520721 0.460946 -1.22289 -1.18328 2.04938 1.06149 -1.22289 -1.18328 -2.04417 -0.721408 --0.703072 -1.65374 0.343004 -2.48076 --0.703072 -1.65374 -0.559972 2.26233 --0.818149 1.15032 0.0889055 -1.34871 -1.36301 0.612285 -0.882418 1.26388 --1.18023 1.31016 -0.742183 2.3726 --1.18023 1.31016 0.710862 -2.04671 --1.28491 -1.18337 1.04083 1.89589 -1.69832 0.0991037 0.356174 -2.24702 -1.69832 0.0991037 -0.0198928 2.21059 --1.9168 -0.885047 2.521 1.77294 --1.9168 -0.885047 -2.37636 -1.9429 -1.58938 -1.17605 2.3101 1.71921 -1.58938 -1.17605 -2.23719 -1.47349 --0.506268 1.44554 -0.716657 -1.71615 --1.49537 -1.21102 1.43255 2.13853 --1.4199 1.72064 -0.841213 3.32331 --1.4199 1.72064 0.803026 -3.12528 --0.953029 -1.67768 -0.0329093 -2.79067 --0.953029 -1.67768 -0.107359 2.56019 --0.524582 1.35895 0.349746 -0.286736 -0.71709 1.09543 -1.63981 -0.08206 -0.71709 1.09543 1.45718 -0.411866 --0.142387 1.15482 -1.00842 -1.03915 --0.142387 1.15482 0.433779 1.24383 --0.514314 -0.779256 -0.186666 -1.23136 --0.498198 -1.8484 0.897547 -2.52508 --0.498198 -1.8484 -1.13148 2.38995 --0.964871 1.16886 -0.498164 1.99264 -0.745964 1.5687 -2.37719 -0.38593 -1.44808 -1.69053 3.1834 1.00788 -1.44808 -1.69053 -3.21446 -0.809181 -0.634852 -1.67387 -2.43699 0.664597 --1.78282 0.478396 2.44075 -0.898879 --0.113274 1.90114 1.5448 2.04414 --0.674294 1.17756 0.338273 -0.441492 -1.02632 -0.459449 0.888961 1.17948 -1.02632 -0.459449 -0.0992533 -0.905328 -0.403426 -1.41251 -1.83179 0.740987 -0.351177 -1.98017 -2.58096 1.46341 -0.351177 -1.98017 2.34689 -1.37838 --1.84368 1.19431 -2.0811 2.56623 --1.84368 1.19431 2.16618 -2.37786 --1.84368 1.19431 -0.0850845 -0.188372 --1.62535 0.229162 -1.85987 0.514632 -1.99752 0.929083 2.05008 -2.67254 -1.99752 0.929083 -1.91674 2.51438 --0.793142 0.205795 1.08556 -0.199508 --0.326785 -0.944672 0.0906018 -1.25607 --0.326785 -0.944672 -0.692405 0.913682 --0.93801 1.34699 0.18215 -1.88641 -0.474391 -0.913883 -1.29047 0.287796 -0.474391 -0.913883 1.04462 0.370428 -1.50269 1.99298 -3.90134 0.644097 -1.50269 1.99298 3.8573 -0.79818 -1.93639 1.89538 4.09567 -1.84019 -1.93639 1.89538 -4.09285 1.7041 -1.54987 1.99559 -3.9538 0.74295 -1.54987 1.99559 3.91511 -0.894482 --1.6254 1.51745 -1.42024 3.09126 --1.6254 1.51745 1.4348 -2.88915 --1.61349 1.95245 -1.01383 3.97961 --1.61349 1.95245 0.984442 -3.8263 -0.372272 -0.0187253 0.334686 -0.64819 -1.91763 -1.0606 -2.17249 -2.26291 --1.85758 -0.744733 2.47411 1.45348 --1.85758 -0.744733 -2.2954 -1.62539 --1.63704 -0.324632 2.2188 0.571211 --1.63704 -0.324632 -1.88967 -0.717907 --1.08758 -1.49539 0.342833 2.33066 -0.671505 0.718231 0.122728 0.683615 --1.30181 -0.58107 -1.25617 -1.20824 -1.94468 1.72824 3.7303 -2.01354 -1.94468 1.72824 -3.71313 1.86687 --0.27444 -0.164572 -0.245134 -0.650147 --1.06442 0.927015 0.902624 -1.1964 -1.36363 -0.62474 -0.912365 -1.25756 --1.61749 -0.0743656 2.22446 0.129136 --1.61749 -0.0743656 -1.83159 -0.170482 -1.18142 0.423165 0.875204 -1.39431 --0.397402 -1.57691 0.687324 -2.00434 --0.397402 -1.57691 -1.01108 1.83196 --1.35625 -1.83666 -0.605902 -3.48914 --1.35625 -1.83666 0.549133 3.30529 --1.35625 -1.83666 0.0567683 0.183852 --1.53595 0.135753 2.0801 -0.22673 --1.53595 0.135753 -1.65172 0.318424 -1.42443 -1.52532 -2.85547 -0.894268 --1.1247 -1.36839 0.541887 2.11001 --0.047683 -1.23356 0.59941 -1.17967 -1.84954 0.85134 -1.66709 2.22031 --0.643346 -1.10417 -0.109554 -1.66826 --1.46641 -1.39151 1.21472 2.48084 --1.62269 1.07488 -1.69265 2.20862 --1.62269 1.07488 1.79685 -1.96769 -0.561977 -1.28352 -1.79726 0.419133 --1.17609 1.70697 -0.393967 3.06675 --1.17609 1.70697 0.309979 -2.84835 --0.534908 1.64547 0.582969 2.27043 --0.534908 1.64547 -0.850822 -2.08044 -1.93907 1.07691 -2.22142 2.30228 -1.3382 0.504673 -0.614054 1.29145 --0.271311 -0.159904 0.671962 0.135277 --0.58612 -1.73287 -0.851382 2.28508 --1.51625 1.72636 -1.02706 3.42205 --1.51625 1.72636 1.00273 -3.23366 --1.85204 -0.0883626 -2.35924 -0.19858 -1.88727 1.13962 2.429 -2.33213 -1.88727 1.13962 -2.33336 2.14924 -1.88727 1.13962 -0.0956416 0.182885 -1.20115 1.16188 -1.99169 0.691113 -0.560809 1.43528 -2.00757 -0.54721 -1.29402 -0.504985 -0.44967 -0.347519 --1.43889 -1.88508 -0.72128 -3.66739 --1.43889 -1.88508 0.674217 3.49548 -1.44947 1.42594 -2.67027 1.01885 --0.793351 0.287492 -0.587717 0.844265 --1.74183 -0.00614215 2.44866 0.0112598 --1.74183 -0.00614215 -2.11185 -0.0138259 -0.0613744 1.97366 1.9159 1.86682 --1.53629 1.96132 -0.843441 3.92088 --1.90004 -1.95279 -1.63767 -4.25542 --1.90004 -1.95279 1.63406 4.12067 -1.86215 0.606767 1.34454 -2.51562 -1.86215 0.606767 -1.13161 2.36281 -1.80472 1.72155 3.58935 -1.71412 -1.80472 1.72155 -3.582 1.55369 --0.417832 0.473726 -0.238706 0.924669 -1.31323 -0.283121 0.686138 1.60219 -1.31323 -0.283121 -0.180169 -1.43616 --1.14958 -1.82741 -0.223168 -3.26027 --0.86407 -0.802723 0.800503 0.783019 --1.51582 -0.14515 2.04546 0.239974 --1.51582 -0.14515 -1.60771 -0.343235 -1.18958 -0.621973 -0.829916 -0.773509 -0.923887 -0.804489 -1.2804 -0.305396 --1.90403 -1.93479 1.66123 4.08294 -1.85746 1.46717 3.09203 -2.04305 -1.85746 1.46717 -3.05111 1.86931 -1.19206 0.574305 -0.618422 0.773156 -1.29404 -0.541274 -0.654654 -1.154 --0.755394 1.24547 -0.11635 -1.52413 -1.35489 -1.06843 1.95494 1.37003 -1.35489 -1.06843 -1.88384 -1.04189 -1.7842 1.68249 3.48705 -1.7058 -1.7842 1.68249 -3.47757 1.53997 -1.39288 0.94192 -1.6382 1.17959 -1.33276 0.386219 0.845243 -1.62312 -1.33276 0.386219 -0.372867 1.38889 --1.95353 -1.6337 -2.02864 -3.5889 --1.95353 -1.6337 2.05614 3.43714 --0.835196 1.02909 0.289233 -0.97535 --0.835196 1.02909 0.11785 -0.732578 --1.40402 -0.858718 -1.37294 -1.71141 --1.40402 -0.858718 1.54295 1.39314 -1.26689 0.546843 1.07569 -1.48881 -1.26689 0.546843 -0.638251 1.07955 -1.26689 0.546843 -0.437436 0.409258 -1.72787 1.88271 3.8622 -1.39344 -1.72787 1.88271 -3.87539 1.24106 --0.979181 1.0167 0.638825 -1.23927 --1.16374 -0.400518 1.44841 0.533632 --1.16374 -0.400518 -1.02947 -0.927908 --1.05246 0.323421 -0.472458 -0.453337 --1.62595 0.474934 2.15131 -0.835848 --1.62595 0.474934 -1.86491 1.02762 --1.93181 0.0470243 2.80936 -0.0926257 --1.93181 0.0470243 -2.5392 0.106266 -0.473149 -0.265251 0.569996 0.670483 -0.228929 -1.5145 -1.78133 1.06788 -0.228929 -1.5145 1.35058 -0.949632 -1.13804 0.860073 1.48315 -1.15896 -1.13804 0.860073 -1.38875 0.677705 --0.752684 1.88962 0.543249 2.91737 --0.752684 1.88962 -0.719174 -2.75279 -0.801706 0.0427112 0.411723 -0.969777 -0.801706 0.0427112 0.336508 0.961171 -0.0294498 1.87666 1.70964 1.78 --1.67076 1.74567 -1.32698 3.59849 --1.67076 1.74567 1.31968 -3.42708 --1.46628 1.19308 1.38964 -2.0778 --1.04719 1.38142 -0.465296 2.38807 --1.04719 1.38142 0.372061 -2.06087 -1.88574 1.17106 -2.40324 2.1272 -1.17164 -1.55924 -2.72391 -0.369159 -1.17164 -1.55924 2.65186 0.619543 -0.198758 -0.378941 -0.738216 0.259028 --0.905008 -1.8778 -0.414372 2.90056 --0.333814 1.90194 1.2214 2.37762 --0.604696 0.627529 -0.44742 -0.677454 -1.11784 0.750942 -1.16984 0.63906 --1.41959 -1.52752 -1.00738 -2.94991 -1.03824 1.58146 -2.65496 0.10337 -1.03824 1.58146 2.54656 -0.358142 --1.41147 1.58624 -0.94332 3.05557 --1.41147 1.58624 0.91785 -2.83415 --1.00487 -1.09639 0.583307 1.43062 --0.928166 1.93547 -0.433724 -3.03941 --0.995281 -0.611583 -0.792999 -1.21884 --0.995281 -0.611583 1.11823 0.705657 --1.29779 1.53925 -0.769395 2.87122 --1.99981 -1.24564 -2.38914 -2.76317 --1.99981 -1.24564 2.46871 2.6019 -1.24595 0.409335 0.866918 -1.48927 -1.68415 -0.233975 0.607798 2.22798 --1.25252 -1.97186 0.184625 3.47777 --0.664758 0.0402966 0.983883 -0.0355216 -1.03216 -0.161324 0.522584 1.21936 -1.03216 -0.161324 0.156321 -1.14178 -1.52223 -1.13506 -2.11127 -1.35453 --0.947494 -1.81204 0.121359 -3.01413 --0.947494 -1.81204 -0.259304 2.81834 -0.627585 -1.49135 1.88943 -0.215122 -0.704883 -1.37553 1.81423 0.0600593 --1.11826 -0.783556 1.13514 1.03317 --0.430814 -1.1679 -0.653559 1.23079 -1.79193 1.59617 3.31074 -1.79847 -1.79193 1.59617 -3.29111 1.62607 -1.93347 -1.36199 2.92557 2.28298 -0.210085 0.201404 -0.646891 -0.155943 --1.22266 -1.81844 -0.36842 -3.31942 --1.22266 -1.81844 0.289123 3.12605 -0.602121 1.80964 -2.61785 -0.862023 -0.602121 1.80964 2.39703 0.694314 -0.262178 -1.48959 -1.78676 0.999186 -1.06983 1.76017 -3.01232 0.000984268 -1.06983 1.76017 2.90523 -0.209888 -1.26106 0.860059 -1.41495 0.930597 -1.21078 0.597274 -0.393277 0.541871 --1.62723 1.20664 -1.63161 2.47063 --1.62723 1.20664 1.70385 -2.23838 --1.19528 -1.44764 -0.661582 -2.62146 --1.19528 -1.44764 0.607647 2.33928 --1.39378 -1.49025 -0.988243 -2.85855 --1.39378 -1.49025 0.972982 2.61745 --1.28551 1.1564 1.06735 -1.84393 -0.684158 1.77378 -2.6492 -0.68968 -0.684158 1.77378 2.44481 0.500819 --0.0235616 -1.81147 -1.8332 1.76225 --0.0235616 -1.81147 1.52937 -1.77485 --0.411324 0.948961 0.584007 -0.38087 -0.673663 -0.753844 1.0633 0.65579 -0.673663 -0.753844 -1.18982 0.0124571 --1.49449 -0.783613 -1.56097 -1.60272 -0.450268 -1.35989 -1.80615 0.63145 --1.94751 -0.200411 2.82753 0.397327 --1.94751 -0.200411 -2.57068 -0.452412 --0.565112 0.753024 -0.249826 1.23262 --0.565112 0.753024 -0.452058 -0.761437 -0.702999 0.0620445 0.331869 0.880227 --0.84945 1.03699 0.315119 -1.04542 --0.84945 1.03699 0.10615 -0.682189 -0.313412 -1.79737 -2.26038 1.28688 -0.313412 -1.79737 1.97304 -1.18536 --1.15523 -1.23394 0.735914 1.86938 --0.441403 -1.59327 0.649077 -2.08185 --0.441403 -1.59327 -0.956068 1.90102 --1.68373 1.83272 -1.27639 3.79346 --1.68373 1.83272 1.26285 -3.63233 --1.11269 -1.84701 -0.134617 -3.25704 --1.11269 -1.84701 0.0330937 3.06675 -0.956655 -1.87635 -3.11443 0.324103 -0.956655 -1.87635 2.98311 -0.141119 --1.58963 -0.714293 1.97276 1.25301 --1.58963 -0.714293 -1.75912 -1.49525 -0.0475436 1.51651 -1.5719 -1.28532 -0.530711 1.20566 1.34908 -0.0655344 -0.841952 0.752655 1.16512 -0.833997 -0.841952 0.752655 -1.20636 0.18992 -1.5967 -1.3296 2.60988 1.62087 -1.5967 -1.3296 -2.56933 -1.39305 --0.643479 -1.4039 0.160339 -2.05404 --0.643479 -1.4039 -0.444824 1.75247 -1.87743 -1.48651 -0.0396159 -0.169833 -1.61686 -1.3365 -2.59744 -1.43153 -1.89476 1.528 3.25125 -2.07426 -1.89476 1.528 -3.21581 1.90926 -1.89476 1.528 -0.0354318 0.165003 -0.188983 1.20556 0.644536 0.793729 --0.403904 -1.16529 0.212272 -1.52856 -1.24575 -0.12593 0.457498 1.49637 -1.24575 -0.12593 0.0980788 -1.42528 -1.47215 1.69791 3.22216 -1.04825 -1.47215 1.69791 -3.25032 0.852904 -0.721276 0.668782 0.0966959 0.701285 --1.30234 0.519748 -1.2594 1.10518 --1.32073 -1.07843 -1.13008 -2.06239 --0.840658 1.81697 0.309162 2.90107 --0.840658 1.81697 -0.47197 -2.71234 --0.438972 1.68349 0.767595 2.20371 --0.438972 1.68349 -1.05102 -2.04662 --0.438972 1.68349 0.283423 -0.157098 -0.798598 0.299454 0.151592 0.890352 -0.798598 0.299454 -0.811672 0.0634299 -1.03545 -0.908709 -1.46288 -0.479226 --0.425111 1.89303 -1.30825 -2.38109 --0.425111 1.89303 1.07038 2.49366 -1.04347 -0.033689 0.370357 1.21778 -1.04347 -0.033689 0.292586 -1.20177 -1.14002 0.32586 0.735318 -1.35172 -1.14002 0.32586 -0.0992384 1.1509 -1.99984 -1.25183 2.73495 2.49938 -1.99984 -1.25183 -2.6566 -2.33737 -0.659498 1.43432 -2.09194 -0.402034 --0.932734 0.155228 -0.686545 0.706919 --0.701177 1.41073 -0.343327 -1.8106 -0.479216 1.60196 1.86405 0.619761 --0.172937 1.67873 1.12213 1.82782 --0.792377 1.72597 0.284358 2.6958 --0.792377 1.72597 -0.467075 -2.48792 --1.69468 -0.16204 2.35292 0.291508 --1.69468 -0.16204 -2.00869 -0.363843 -1.39396 1.64252 -3.07024 0.738476 -1.77908 1.75618 3.63992 -1.62689 -1.77908 1.75618 -3.63804 1.46706 --1.75647 0.157519 -2.14567 0.352703 -1.84778 1.98657 4.21191 -1.55105 -1.84778 1.98657 -4.22179 1.41566 -1.137 -0.454174 0.90885 1.32628 -1.137 -0.454174 -0.665116 -0.330103 --1.7245 1.23362 -1.81166 2.58093 --1.7245 1.23362 1.88437 -2.37117 -1.19317 -1.69095 -2.99404 -0.298662 -1.19317 -1.69095 2.91673 0.5176 -1.71077 -0.582457 1.2574 2.23085 --0.10398 0.671778 0.68774 -0.329888 -0.0345854 -1.7323 1.47967 -1.57269 --1.85805 -0.103192 2.66294 0.198014 -0.950768 -0.854936 1.35837 0.902851 -0.950768 -0.854936 -1.36058 -0.344288 --1.99195 0.392346 2.87906 -0.791872 --1.99195 0.392346 -2.65491 0.885555 -0.0104286 -0.157252 -0.47519 0.261533 -0.0104286 -0.157252 0.0143001 -0.539597 -0.0104286 -0.157252 0.460889 0.278064 -1.81526 0.952308 2.01014 -2.28949 -1.81526 0.952308 -1.87432 2.09219 --0.510515 -1.0161 0.522215 0.423095 -1.17166 -0.625197 -0.850449 -0.71863 --1.30539 -1.73909 -0.603219 -3.25156 --1.30539 -1.73909 0.543723 3.04767 -1.78089 1.50078 3.10132 -1.85543 -1.78089 1.50078 -3.07057 1.67375 -1.80914 -0.61688 1.34977 2.40897 --1.82822 1.44864 -1.89129 3.09512 -0.191885 0.720448 -0.963391 -0.436065 -1.16852 -1.68703 -2.96464 -0.254779 -1.22007 -1.13239 -1.94475 -0.742408 --1.08289 -0.412525 1.33808 0.515014 --1.08289 -0.412525 -0.917486 -0.956534 --0.68839 -0.680195 -0.408911 -1.21314 --1.52334 -0.411466 1.99504 0.687685 -1.57478 0.312736 0.746618 -2.02893 -1.75854 -1.6426 -3.36802 -1.51516 --1.48297 1.45392 1.19207 -2.62533 --0.789909 -1.42559 -0.0264834 -2.2288 -0.891757 -1.33994 -2.12244 -0.0359604 -0.891757 -1.33994 1.98369 0.384615 -1.70008 -0.430508 0.972384 2.24255 -1.70008 -0.430508 -0.682793 -2.09309 -0.0764279 -1.05596 -1.14758 0.768349 -1.03916 -1.21633 1.94273 0.737513 -1.03916 -1.21633 -2.0045 -0.364732 -1.96814 -1.12294 -2.34261 -2.34216 --1.1071 -0.296363 -0.487283 0.419613 -1.42602 1.28766 -2.37118 1.06356 --1.61016 0.228685 2.19282 -0.39655 -1.1403 0.776213 -1.21998 0.687524 --1.50602 1.90189 -0.840584 3.76818 --1.50602 1.90189 0.801546 -3.60246 -1.79252 -0.500152 1.12022 2.40492 -1.79252 -0.500152 -0.870372 -2.25795 -0.738363 0.836075 1.18957 -0.665288 -0.738363 0.836075 -1.30077 0.0464427 -0.160651 1.35686 0.953098 0.90806 -1.38474 0.5151 -0.676197 1.38425 -1.15933 1.25521 2.11431 -0.894805 -1.15933 1.25521 -2.14441 0.56037 --1.3626 1.48906 -0.930726 2.83153 --1.3626 1.48906 0.909708 -2.58534 --0.841948 0.993291 0.434067 -0.921639 --0.841948 0.993291 0.00410526 -0.742666 -1.72262 0.0933982 0.342826 -2.29222 -1.72262 0.0933982 -0.0150172 2.25902 --1.87109 -1.83594 1.68204 3.82315 -0.793261 1.0406 1.46707 -0.557896 -1.50759 0.0176433 0.239761 -1.89023 -1.50759 0.0176433 0.178735 1.88195 -1.98241 1.58373 -3.40923 2.06825 --0.20081 1.25724 -1.01634 -1.20397 -1.68739 -0.678683 1.4299 2.15843 -1.68739 -0.678683 -1.20718 -1.9478 -1.57591 1.95309 3.85376 -0.995826 -1.57591 1.95309 -3.88728 0.840881 --1.08714 0.878709 -0.843479 1.62602 -1.65749 -1.81192 3.64074 1.31437 -1.65749 -1.81192 -3.65559 -1.14948 -0.28843 1.57946 1.55214 0.927065 -1.51758 -1.96645 -3.85928 -0.702186 -1.51758 -1.96645 3.8183 0.858711 -0.658379 -1.56982 2.05982 -0.271755 --0.949555 1.66634 -0.102625 -2.53436 --1.09154 0.881038 0.997451 -1.15376 --1.4774 -0.862273 -1.50489 -1.74301 --1.4774 -0.862273 1.67303 1.45298 --1.05403 -1.43478 -0.431791 -2.4815 -0.333609 1.83178 2.06158 1.19835 -1.82678 1.29391 2.70767 -2.10738 -1.82678 1.29391 -2.64198 1.91867 --1.46265 1.94559 -0.708164 3.81369 -0.319611 -1.49826 0.413453 -0.181451 --0.051317 -0.563603 0.677927 0.33926 --1.93255 -1.97504 -1.69021 -4.336 --1.93255 -1.97504 1.68743 4.20498 --1.93255 -1.97504 0.00277998 0.131018 -0.904288 0.325225 0.0841015 0.94191 --1.56709 -1.65277 -1.19362 -3.31813 --0.725294 -1.5383 0.182733 -2.33078 --0.725294 -1.5383 -0.408394 2.07014 --1.30532 1.63194 0.0505844 -0.224701 --1.55312 -0.0951215 -1.68554 -0.223029 --1.55312 -0.0951215 -0.427313 0.0628565 --0.391535 1.11798 0.179963 1.46904 --0.391535 1.11798 -0.684625 -1.14369 -1.87714 0.652147 1.43881 -2.53243 -1.87714 0.652147 -1.23805 2.37575 -0.314468 -1.95018 -2.48704 1.48004 -0.314468 -1.95018 2.24154 -1.39981 --1.22013 1.10936 -0.94082 2.05983 --1.68709 0.28356 2.31828 -0.50955 --1.68709 0.28356 -1.99533 0.629417 --1.36073 -0.960053 1.38457 1.54163 -1.91039 1.61546 -3.4268 1.87842 -1.38183 -0.52005 -0.684731 -1.37404 -1.84667 1.92795 4.08036 -1.60786 -1.84667 1.92795 -4.08648 1.4678 -1.62921 1.26637 2.51161 -1.73159 -1.62921 1.26637 -2.45506 1.50354 -0.627377 1.25444 -1.80604 -0.307388 --0.0754065 -1.45432 0.90102 -1.41328 -1.12799 -1.05461 1.76846 1.01129 -1.12799 -1.05461 -1.75565 -0.603169 --1.37935 1.71154 -0.770766 3.26832 --1.37935 1.71154 0.726641 -3.06526 --1.45184 1.10717 1.43394 -1.8961 -0.319414 0.670399 -0.991236 -0.312253 --1.04714 1.26596 0.485383 -1.82532 -1.33819 0.853909 1.58644 -1.47323 -1.33819 0.853909 -1.42733 1.09851 --1.17305 -1.42917 -0.637945 -2.57119 -0.575219 -0.09516 0.449988 0.778327 -1.45904 0.566633 -0.321015 0.277664 -0.952894 -0.731558 -1.1679 -0.344089 -1.52476 -0.474582 -0.684688 -1.70714 --0.521917 0.574822 0.778848 -0.387714 --0.521917 0.574822 -0.490911 -0.659195 --0.83406 1.69268 -0.353526 -2.46764 -1.88287 1.55453 3.29854 -2.02717 --1.2753 0.607939 1.502 -0.888577 --1.2753 0.607939 -1.20964 1.25056 --1.25189 -1.69827 0.0671228 0.215627 --1.91762 0.641391 -2.44967 1.41967 -0.60699 -1.7676 2.32956 -0.628254 --1.21343 0.0558047 -0.882911 0.404758 -1.29395 0.278031 0.677801 -1.5734 -1.29395 0.278031 -0.158319 1.4087 -1.54587 -1.80049 3.50429 1.09364 -1.54587 -1.80049 -3.5312 -0.918528 -1.90975 0.474771 1.09258 -2.63998 -1.90975 0.474771 -0.863144 2.52094 --1.38389 -0.163014 -1.31811 -0.428237 -0.450912 0.199409 0.246036 0.728981 -1.82499 -1.29676 2.71229 2.1017 --1.12468 1.77494 -0.232342 3.13844 --1.46689 1.18168 -1.33732 2.33027 -0.604946 0.400325 0.712221 -0.748726 --1.322 1.90042 -0.474227 3.57884 --0.794657 -0.195905 1.08872 0.190318 -1.73082 1.95233 4.01597 -1.32859 -1.73082 1.95233 -4.03362 1.18292 --1.63609 -0.352524 2.20962 0.620523 --1.63609 -0.352524 -1.88826 -0.776415 -1.57803 -1.12284 2.20222 1.7336 -1.57803 -1.12284 -2.11687 -1.48005 --1.90169 -0.383851 2.7003 0.751394 --1.90169 -0.383851 -0.24425 0.105559 --0.290565 0.692624 0.686088 -0.34713 --1.02514 0.947788 -0.71969 1.70067 --1.02514 0.947788 0.813143 -1.18209 -0.218219 1.27729 0.692965 0.108578 -1.6937 1.58557 3.20299 -1.60265 -1.6937 1.58557 -3.1912 1.41751 -1.76535 1.30898 2.69492 -1.9711 -1.76535 1.30898 -2.6355 1.77256 --1.28822 1.66406 -0.64136 3.09412 --1.28822 1.66406 0.584346 -2.87434 -1.07513 0.145166 0.500411 -1.27072 -1.07513 0.145166 0.153904 1.19646 -1.79555 0.147915 0.44153 -2.43648 -1.79555 0.147915 -0.141227 2.38921 -0.35906 1.45784 -1.84729 -0.842923 -1.80265 1.69573 3.53205 -1.73322 --1.73177 -1.45869 -1.68151 -3.04884 --1.73177 -1.45869 1.7153 2.85662 -0.866202 1.61971 2.41089 -0.0146402 --1.61962 -1.51496 -1.41045 -3.08183 --1.61962 -1.51496 1.4247 2.8786 -0.0166357 1.76415 1.50773 1.64493 -0.98512 -0.814024 -0.0307516 -0.571439 -1.64332 -0.371521 -0.535831 -2.00318 -1.49367 0.235689 0.612224 -1.89129 -1.49367 0.235689 -0.202524 1.77791 -0.471496 -1.38383 -1.85676 0.624711 -0.471496 -1.38383 1.48613 -0.300891 -0.742028 1.87004 -2.8732 -0.697161 -0.742028 1.87004 2.69387 0.52597 --1.03693 -1.09111 0.653934 1.45878 -1.33638 -0.0227723 0.287911 1.61163 -1.33638 -0.0227723 0.217756 -1.59928 -0.827112 1.50525 -2.34512 -0.198074 -0.827112 1.50525 2.17078 -0.0890414 --1.6791 -0.481602 2.24532 0.867784 -0.372572 1.5314 1.58472 0.704941 --1.164 1.99742 -0.0644826 3.59449 --1.164 1.99742 -0.0282895 -3.43169 -1.5097 -0.679437 -1.11827 -1.55875 -1.43752 1.92437 -3.69185 0.57364 -1.43752 1.92437 3.64287 -0.739514 -1.97928 0.455287 1.06512 -2.78428 -1.97928 0.455287 -0.846324 2.67989 --1.19076 1.16968 -0.855431 2.14309 -1.78421 -1.85497 3.85823 1.543 -1.78421 -1.85497 -3.86421 -1.39232 -0.721076 -1.6818 -2.53674 0.534346 --0.0751543 1.07867 -1.02357 -0.909595 --0.0751543 1.07867 0.391572 1.11933 --0.732934 -1.17897 -0.127431 1.36911 --0.752113 -1.24552 -0.134882 -1.93887 --0.752113 -1.24552 -0.123271 1.52213 --0.784906 1.67467 0.238796 2.60526 --0.784906 1.67467 -0.428552 -2.38341 --1.10533 1.56906 -0.399381 2.75458 --1.10533 1.56906 0.305954 -2.49688 --1.70421 0.0314474 -2.02716 0.0710077 -0.475753 -1.36004 0.372156 -0.343433 -1.50404 -0.465312 -0.348017 -0.218381 --1.36744 0.673631 -1.35692 1.3752 --1.36744 0.673631 1.60813 -1.05014 -0.897854 1.78408 -2.88787 -0.33552 -0.897854 1.78408 2.74024 0.13326 -1.19517 0.751933 -1.16708 0.806323 -1.19517 0.751933 -0.187196 0.495692 --0.400488 -1.27843 0.331207 -1.64578 --0.400488 -1.27843 -0.760711 1.37461 -1.35675 0.738407 1.40766 -1.55934 -1.87567 -1.1889 2.52357 2.2779 --1.52932 -1.85688 -0.932184 -3.69884 --1.52932 -1.85688 0.899032 3.52887 --1.65873 0.520618 2.19291 -0.931435 --1.65873 0.520618 -1.92764 1.12281 -0.198244 0.22558 0.496865 -0.460947 --0.894982 0.826904 -0.594287 1.47185 -1.94772 -1.80955 -0.0102565 -0.141032 --0.928959 -1.15422 -0.455197 -1.94591 -1.66932 -1.30633 2.61941 1.78072 -1.66932 -1.30633 -2.56702 -1.56435 -1.69854 -1.18977 -2.33209 -1.70098 -0.24891 -0.947445 0.859258 0.245338 -1.27441 -0.793582 1.45699 1.40241 --0.0397467 1.6994 1.32811 1.64968 --1.97938 -1.81994 -1.93518 -4.02705 -0.0287325 0.75326 0.169232 0.893931 -1.72449 1.40475 2.85864 -1.81621 -1.72449 1.40475 -2.81851 1.61816 --1.2939 -1.68097 0.579074 2.91511 --0.0175784 -1.93045 0.267972 0.00754697 -1.39558 -0.651331 -0.993265 -1.31694 -0.238279 -0.799427 -1.05206 0.445632 --0.747778 -1.709 0.336357 -2.61786 -1.67334 -1.94586 3.94203 1.21107 -1.67334 -1.94586 -3.96479 -1.06116 -0.267745 1.51573 -1.82567 -1.02056 -1.72374 -0.0538874 0.267659 2.28954 -1.72374 -0.0538874 0.0611902 -2.27038 --0.254415 -1.29297 -0.974946 1.29113 --0.254415 -1.29297 0.500596 -1.49545 -0.382788 -1.68948 1.88068 -0.912571 -1.8874 -1.20846 2.57151 2.28979 -1.8874 -1.20846 -2.48848 -2.10832 --0.0650392 0.219867 0.550609 -0.252069 -1.43259 0.959493 -1.69364 1.25586 -0.690899 1.08819 1.42088 -0.389204 -0.690899 1.08819 0.194882 0.503768 --0.754608 -1.31361 -0.0792174 -2.03516 --0.754608 -1.31361 -0.165222 1.66331 --1.59998 -0.460329 2.11045 0.80009 --1.59998 -0.460329 -1.81323 -0.996916 -1.31973 0.0213633 0.289843 -1.58584 -1.31973 0.0213633 0.224906 1.57417 -0.119239 0.629604 0.715343 -0.374871 -1.56759 -0.601895 1.25302 1.96527 -1.87777 1.21462 -2.49646 2.08287 -0.474333 1.45566 -1.95674 -0.686978 --1.90328 -1.10551 -2.25351 -2.40854 --1.90328 -1.10551 2.35579 2.23006 -1.45916 1.47317 2.77133 -1.23622 -1.45916 1.47317 -2.77448 1.00468 --0.421295 0.473911 0.762668 -0.315551 --1.09129 -1.45919 -0.473159 -2.5542 --1.09129 -1.45919 0.385711 2.26118 --1.57079 1.20334 -1.52286 2.43167 --1.57079 1.20334 1.5913 -2.18595 --1.24869 -0.624107 -0.287162 0.377265 --1.91598 1.49579 -2.04756 3.25782 --1.91598 1.49579 2.08895 -3.09373 --1.88129 1.74758 1.78894 -3.63122 -1.18942 -0.857458 1.50947 1.23715 -1.18942 -0.857458 -1.3922 -0.781406 --0.830461 0.639617 0.929991 -0.609405 -1.46546 -0.593746 1.20885 1.79168 -1.46546 -0.593746 -0.904067 -1.50862 --1.59479 1.76374 -1.15322 3.56864 --1.59479 1.76374 1.13561 -3.39228 --1.3387 1.19734 1.13334 -1.97325 --0.035655 1.4202 0.888667 1.31678 --0.587694 -1.7227 0.599945 -2.44895 -0.564927 -1.90163 -2.72344 1.02787 -0.564927 -1.90163 2.50946 -0.887283 -1.42648 -0.260699 -0.440681 -0.136283 --0.932669 -0.68413 -0.694403 -1.29938 --0.932669 -0.68413 0.990559 0.736485 -0.575989 1.78782 2.32266 0.710502 --1.51556 -1.74535 0.026164 0.185834 --0.203328 -1.83097 -1.59187 2.01499 --0.203328 -1.83097 1.30779 -2.08171 --1.0295 -1.82546 -0.00781256 -3.12812 --1.0295 -1.82546 -0.111268 2.93343 --1.0295 -1.82546 0.119081 0.194698 --1.08327 -1.40074 0.426441 2.1351 -1.04846 -1.66225 -2.81123 -0.0517365 -1.04846 -1.66225 2.70179 0.284581 -0.0316402 -1.71619 -1.78918 1.56091 -0.275312 -0.649721 0.180854 -0.766732 --1.3707 -1.80641 -0.663901 -3.44432 --1.3707 -1.80641 0.61127 3.25645 -0.482866 0.196382 0.516998 -0.690747 -1.38927 -0.802359 -1.33428 -1.23121 -1.83895 0.509936 1.14861 -2.49303 -1.83895 0.509936 -0.911005 2.35364 -1.2312 0.00254644 0.285437 -1.45144 -1.2312 0.00254644 0.278278 1.45002 --0.87281 -1.00253 0.460855 1.02149 --0.81177 -1.28594 -0.184094 -2.04574 --0.81177 -1.28594 -0.0269589 1.64975 --1.24273 0.968291 -0.113265 -0.383616 --1.81296 1.21161 -2.00703 2.58565 --1.81296 1.21161 2.08796 -2.39208 -0.650258 -1.86116 -2.75587 0.841448 --1.05581 0.926624 -0.775352 1.68406 -1.3616 1.57833 -2.91386 0.725327 --0.290251 -1.33761 -0.961073 1.37951 --0.290251 -1.33761 0.517689 -1.58437 --0.476649 -0.911038 -0.526053 0.912103 --1.9648 -1.91368 -1.81974 -4.22653 --1.9648 -1.91368 1.82333 4.09357 -0.157126 -1.9223 1.96789 -1.63153 --1.6788 -1.18579 -1.74621 -2.45814 --1.6788 -1.18579 1.82644 2.23609 --0.15302 1.3702 -1.17161 -1.30685 --0.15302 1.3702 0.699814 1.44075 -1.09928 -1.1155 1.83945 0.918787 -1.78677 -0.909556 1.91181 2.25414 -1.78677 -0.909556 -1.76455 -2.05125 -1.06428 1.95518 -3.37513 -0.205676 -1.06428 1.95518 3.26631 0.0360406 -1.25344 -0.993256 -0.0750065 -0.382671 --1.30437 1.07288 -1.10456 2.04406 --1.30437 1.07288 1.18105 -1.70155 -0.753761 -1.24075 1.68282 0.296029 -0.129903 1.94481 -2.22916 -1.74294 -1.41577 -0.7791 1.501 1.63845 -1.41577 -0.7791 -1.29404 -1.30033 --0.587078 -1.49737 0.336858 -2.12257 --0.587078 -1.49737 -0.622206 1.87281 --1.30613 -1.06716 1.18959 1.69237 --0.397971 -1.1661 -0.698951 1.21205 -0.330403 1.73301 -2.18912 -1.1846 -0.330403 1.73301 1.88401 1.06569 --1.5564 -0.927919 -1.62907 -1.89514 --1.5564 -0.927919 1.77435 1.63176 -1.11843 -1.6728 -2.89318 -0.172375 -1.11843 -1.6728 2.8003 0.399566 --1.3215 0.13241 -1.16361 0.404961 --1.57043 -1.31277 -1.45503 -2.64484 --1.57043 -1.31277 1.49895 2.41 -1.49063 -0.959857 1.85121 1.67451 -1.56445 -0.788446 1.58313 1.89197 -1.56445 -0.788446 -1.386 -1.62407 -1.56445 -0.788446 -0.197131 -0.267893 --1.28748 0.453219 1.60154 -0.661486 --1.28748 0.453219 -1.2315 0.994276 --0.691715 0.377665 -0.491983 0.917086 --0.691715 0.377665 0.954469 -0.325476 --1.07106 0.689744 -0.881661 1.34251 --1.07106 0.689744 1.1514 -0.86135 -1.64325 0.805183 -1.46201 1.78837 -0.273809 0.424904 0.153427 0.728218 -1.90193 -0.976058 2.10137 2.45226 -1.90193 -0.976058 -1.97332 -2.27351 -1.39697 -0.900384 -1.55138 -1.20648 -1.99529 -0.840132 -1.71343 -2.5534 -1.99529 -0.840132 -0.149974 -0.153026 --0.481782 -0.91803 -0.0696673 -1.34541 --1.21479 0.376727 -1.10201 0.881895 -1.89676 1.48549 3.16174 -2.11228 -1.89676 1.48549 -3.1208 1.94491 --0.968454 1.35595 -0.360338 2.28218 -1.35735 1.90007 -3.56342 0.430953 -1.35735 1.90007 3.50427 -0.604075 -0.385022 -0.446893 -0.858601 0.17582 --0.702802 1.35497 -0.297132 -1.70613 --1.34802 1.20001 -1.10882 2.29303 -0.97943 -1.01695 -1.6335 -0.353898 -0.109181 1.71132 -1.88526 -1.45631 -1.68444 -0.790954 1.63854 2.11079 -1.68444 -0.790954 -1.45141 -1.88578 --1.38353 -1.02354 -1.26862 -1.99703 --1.38353 -1.02354 1.37345 1.67843 --0.233614 -1.31572 -1.02029 1.30484 --0.233614 -1.31572 0.548992 -1.49253 --1.08676 -1.09705 -0.731546 -1.96158 --0.0600103 -1.23394 -1.16326 1.06163 -1.24033 -1.75068 0.071353 -0.204181 -1.20253 -1.92307 -3.45603 -0.0962167 -1.20253 -1.92307 3.37152 0.270789 --0.739281 0.982218 -0.31312 1.5868 --0.739281 0.982218 -0.154641 -0.925849 --0.739281 0.982218 0.467761 -0.660955 --0.606669 1.06077 -0.0995674 1.58857 --1.62906 0.0559828 2.24558 -0.097726 -1.09657 -0.954771 -1.56003 -0.579039 --1.07845 0.501861 -0.372643 -0.453402 -1.61732 -1.65882 3.28394 1.3791 -1.61732 -1.65882 -3.28897 -1.19326 --1.86141 0.905833 -2.25099 1.96668 --1.86141 0.905833 2.39415 -1.78419 --1.73717 0.088143 2.4372 -0.161319 --1.73717 0.088143 -2.10191 0.198143 --1.55244 1.79424 1.01307 -3.41635 -1.18444 -0.639875 1.18505 1.33544 -1.29453 0.514735 -0.592528 1.18386 -1.60047 0.3288 -0.43049 1.93717 -0.775945 1.39387 1.93142 -0.144224 --1.68346 0.651323 2.18043 -1.18508 --1.68346 0.651323 -1.95806 1.39069 --1.31295 -0.102002 -1.11617 -0.348395 -1.29872 1.09218 1.9556 -1.25813 --1.45873 -1.82113 -0.823681 -3.55864 --1.45873 -1.82113 0.783481 3.37892 --1.64431 -1.20009 -1.66923 -2.46739 -0.775459 -0.729 1.09987 0.774092 -0.775459 -0.729 -1.17471 -0.10743 -1.30738 1.9317 0.0679272 0.170339 -0.855975 -0.983586 1.45176 0.686075 -0.855975 -0.983586 -1.53824 -0.168493 --1.99765 -1.10475 -0.101912 0.161959 --1.28188 1.3282 -0.905748 2.47747 --1.25031 1.1104 1.0433 -1.72199 -1.64811 1.44076 -2.84295 1.42678 --0.215156 1.80558 -1.5431 -1.99029 --0.215156 1.80558 1.25309 2.06339 -0.674183 -1.75141 -2.60204 0.682234 -0.674183 -1.75141 2.39209 -0.488389 -0.89443 1.83089 2.82094 0.198445 --0.495791 1.49099 0.452934 2.01063 --1.94567 -1.6569 -1.99322 -3.63429 --1.94567 -1.6569 2.01783 3.48311 -1.60686 1.44299 -2.81823 1.33666 --0.919291 1.08914 0.408744 -1.30372 --0.919291 1.08914 0.0763646 -0.541408 -1.65604 1.02582 2.06737 -1.9406 -1.65604 1.02582 -1.95074 1.70224 --1.94211 -0.518323 -2.52695 -1.15695 --0.286518 1.92855 0.249365 -0.0770226 -1.90377 -0.718855 -1.39794 -2.40462 --0.792715 -1.0962 0.0521617 1.18847 -0.281439 -1.2333 0.642941 -0.587538 -0.281439 -1.2333 0.859956 -0.136302 -0.424671 -1.60244 -2.11106 0.90392 --1.03012 0.971345 0.791222 -1.22792 --0.543496 -1.64164 -0.832246 2.0824 -1.03302 0.164084 0.525851 -1.22051 -1.03302 0.164084 0.153005 1.14138 --1.02721 1.46554 0.250238 -2.21163 -1.48677 -1.37239 2.60355 1.37582 -1.48677 -1.37239 -2.58561 -1.13308 -0.282705 1.85746 0.273898 0.0834699 -1.60348 -0.739977 -1.29926 -1.73388 --0.797438 1.78919 -0.5243 -2.61279 --0.424708 -0.465603 -0.51868 0.608367 -0.294157 -0.676338 -0.983828 0.334784 -1.06585 -1.80593 -3.0942 0.0505729 -1.06585 -1.80593 2.98555 0.148382 -1.31478 -1.9695 -3.66323 -0.274723 -1.31478 -1.9695 3.5952 0.439186 -0.682314 1.60065 -2.36858 -0.517275 --0.95602 1.19929 0.36283 -1.59288 --1.06123 1.09326 -0.694034 1.94029 --1.06123 1.09326 0.699115 -1.49144 --1.87031 0.946315 -2.25415 2.05559 --1.87031 0.946315 2.38837 -1.87332 -1.34095 1.60805 2.91589 -0.882937 -1.34095 1.60805 -2.95684 0.659815 --1.8091 -1.61701 -1.72654 -3.4405 --1.8091 -1.61701 1.74586 3.27163 --1.55704 0.714857 1.91285 -1.23551 --1.55704 0.714857 -1.69623 1.48889 -1.64297 0.57377 1.22353 -2.10811 --0.768702 -1.13077 0.272983 0.525549 --0.611178 -1.80857 0.670905 -2.61011 --0.611178 -1.80857 -0.888389 2.44649 --1.50943 1.26894 -1.365 2.52103 --1.50943 1.26894 1.41141 -2.26773 --1.12057 1.23592 0.664584 -1.83852 -0.172906 -1.81531 -2.10666 1.50723 -0.172906 -1.81531 1.80797 -1.45361 -1.56965 -0.032711 0.1366 -1.98778 --1.09299 1.91582 -0.0231245 3.36184 -0.3496 -1.37064 1.24388 -0.487452 -1.87148 -0.833386 1.79864 2.45616 --0.0041955 1.43402 0.476985 -0.038833 --1.28445 -1.13294 -1.03684 -2.13707 --1.28445 -1.13294 1.08736 1.79759 -1.10226 -1.81156 3.03923 0.209931 --0.666258 -1.93733 0.746768 -2.88734 --1.40437 -1.53273 0.954523 2.71568 -1.34862 -1.40836 -2.56356 -0.826929 --1.60384 1.41198 -1.45405 2.86348 --1.60384 1.41198 1.48286 -2.64602 --1.16784 1.60565 0.39606 -2.63347 -1.71039 -0.683202 1.44607 2.19993 -1.71039 -0.683202 -1.22829 -1.99575 -1.67997 -0.156295 -0.125014 -2.15897 -1.64628 1.84698 3.70343 -1.25546 -1.64628 1.84698 -3.72222 1.09345 -0.907808 0.841404 1.31274 -0.857176 --1.94357 -1.93921 -1.7484 -4.26507 --1.94357 -1.93921 1.74878 4.13233 --1.81692 -0.527014 2.48894 1.00477 -0.276426 1.4989 0.428842 0.153795 -1.54511 1.23499 2.38995 -1.59368 -1.54511 1.23499 -2.33574 1.34397 -0.587341 -0.196079 0.533492 0.775556 -1.52789 1.5007 2.88583 -1.34454 -1.52789 1.5007 -2.8827 1.12723 -1.74554 1.58909 3.25571 -1.70715 -1.74554 1.58909 -3.23931 1.52863 --0.967851 0.895573 -0.66242 1.59797 --0.967851 0.895573 0.795279 -1.02595 -1.09899 -0.402985 0.832161 1.28583 -1.09899 -0.402985 -0.141476 -1.02589 -1.38812 -1.65269 3.049 0.928562 -1.38812 -1.65269 0.0370771 -0.210476 -1.76137 -1.17502 2.42257 2.05459 -1.44092 0.919868 1.7532 -1.61002 -1.44092 0.919868 -1.61288 1.29209 --1.60276 1.53412 1.37125 -2.90422 --1.75844 -0.16946 2.46849 0.313094 --1.75844 -0.16946 -2.15009 -0.379179 --1.88377 1.89917 -1.65065 4.12048 --1.88377 1.89917 1.64961 -3.98062 -1.78895 1.36462 2.82586 -1.97852 -1.872 -1.57143 3.32585 1.98989 -1.872 -1.57143 -3.29717 -1.82503 -1.96046 -1.99855 4.35305 1.79324 -1.96046 -1.99855 -4.35556 -1.66574 --1.77347 -1.04092 -2.01181 -2.21154 --1.77347 -1.04092 2.12718 2.00657 -1.60134 -1.09363 2.16246 1.7962 -1.60134 -1.09363 -2.06739 -1.54651 -0.980546 -0.0201561 0.367086 1.14436 -0.980546 -0.0201561 0.323762 -1.13593 --1.84068 -0.89764 -2.21044 -1.94176 --1.84068 -0.89764 2.35634 1.75513 -1.75627 -0.571976 1.24938 2.31936 -1.75627 -0.571976 -1.00863 -2.14812 -1.75627 -0.571976 -0.240753 -0.171239 --1.88886 -1.64212 -1.8796 -3.55729 --1.88886 -1.64212 1.90206 3.39917 -1.6546 -0.0130262 0.201904 2.15294 -1.6546 -0.0130262 0.153415 -2.14785 -1.32625 -1.71837 -3.16565 -0.536514 -1.32625 -1.71837 3.11221 0.740962 -1.66747 -0.897276 -1.67602 -1.79485 -0.603313 1.35504 1.64656 0.0607534 -1.1394 -1.18547 1.98328 0.923243 -1.1394 -1.18547 -2.00354 -0.562644 --1.57138 1.59284 -1.25197 3.20093 --1.57138 1.59284 1.24974 -3.00067 --1.59078 1.46118 -1.39266 2.95227 --1.59078 1.46118 1.41174 -2.73833 --1.76229 0.907698 -2.04425 1.93352 --1.76229 0.907698 2.19115 -1.72821 -1.16074 -0.572244 -0.699777 -0.594666 -1.16074 -0.572244 -0.37988 -0.731358 --1.79352 0.356548 -2.22272 0.788967 -0.13514 -1.76584 -1.99029 1.49338 -0.13514 -1.76584 1.6716 -1.44968 --0.509889 1.50869 -0.764389 -1.82474 --1.67329 1.76683 -1.3137 3.64509 --1.67329 1.76683 1.30469 -3.47618 -1.59496 -1.21561 -2.32505 -1.46169 -1.36092 0.805034 1.51811 -1.53536 -0.043324 -1.43823 0.996878 -1.20469 -0.043324 -1.43823 0.483468 0.00885646 -1.70939 1.65725 3.36584 -1.57091 -1.70939 1.65725 -3.3607 1.39483 --0.967092 -0.496194 -0.770605 -1.06736 --0.967092 -0.496194 1.15977 0.557105 -1.33776 -1.1783 2.13174 1.26062 -1.33776 -1.1783 -2.09722 -0.949877 --1.29123 0.783708 -1.20116 1.54594 --1.33535 -0.985668 -1.20126 -1.90775 -1.0347 0.414744 0.834526 -1.20052 -1.0347 0.414744 -0.080109 0.959241 -1.0347 0.414744 -0.754417 0.241283 -0.727281 0.801205 1.14546 -0.678041 -0.727281 0.801205 -1.25533 0.0401989 -0.931926 -1.99911 -3.31367 0.502287 -0.931926 -1.99911 3.18209 -0.344289 -0.937648 -1.32008 -2.12064 -0.126115 -0.937648 -1.32008 2.00265 0.477043 --0.999957 -1.08376 0.0175491 0.489504 -0.931641 1.19899 -1.91461 0.190716 -0.931641 1.19899 1.81393 -0.591869 --0.00300136 -1.96611 -2.06796 1.95892 --0.00300136 -1.96611 1.80936 -1.96198 -1.30008 1.28682 2.29058 -1.10712 -1.30008 1.28682 -2.29056 0.811228 -1.51275 -0.377857 0.853808 1.91619 -1.51275 -0.377857 -0.481995 -1.73897 -1.51497 -1.99457 -3.91697 -0.668823 -1.51497 -1.99457 3.87431 0.822148 --1.95932 -0.703274 -2.52489 -1.56398 --1.58096 -0.248121 2.13849 0.424515 -0.995601 0.395606 -0.773523 0.205289 --0.906337 1.07627 -0.47499 1.81841 --1.42375 1.93838 -0.636813 3.75921 --1.42375 1.93838 0.584894 -3.59393 -0.996941 0.631549 -0.0931133 0.708079 -0.503252 -1.87342 -2.60511 1.09291 -0.503252 -1.87342 2.37328 -0.957849 -1.52115 1.43153 2.74557 -1.39168 -1.52115 1.43153 -2.7328 1.16357 -1.43271 -1.33606 2.49065 1.30485 -1.43271 -1.33606 -2.47452 -1.04601 -1.02181 1.2108 1.91803 -0.715867 -1.02181 1.2108 -1.98508 0.337427 -1.46109 0.188371 -0.102572 1.74144 -1.07128 0.552168 -0.830755 0.412763 --0.652281 0.308247 -0.473367 -0.592838 -0.157891 0.937291 -1.11323 -0.603843 -0.638709 1.41869 -2.05107 -0.419736 -0.0612657 1.48388 -1.55179 -1.23037 -0.303068 -1.72191 1.82644 -1.09826 -1.64777 -0.130628 -0.353524 -0.051396 -1.97817 -0.99578 2.18034 2.6 -1.97817 -0.99578 -2.05851 -2.43554 --1.27627 -0.177073 -1.11293 -0.527196 --1.95609 1.79597 -1.90313 3.9532 --1.95609 1.79597 1.91535 -3.81185 -1.31941 -1.32723 2.37859 1.10662 -1.31941 -1.32723 -2.38259 -0.823667 --1.30943 -1.61878 -0.721969 -3.02873 -1.87948 -1.87019 3.98448 1.73737 -1.87948 -1.87019 -3.98388 -1.59523 --1.90143 0.320826 2.71504 -0.627131 --0.762099 -1.11234 -0.0354745 1.22359 --1.94082 0.426754 2.76644 -0.847535 --1.94082 0.426754 -2.53737 0.955669 -1.69212 -1.89377 3.84966 1.30533 -1.69212 -1.89377 -3.8671 -1.15148 --0.22822 1.06993 -0.857277 -1.00141 --0.22822 1.06993 0.27927 1.27094 -0.0274141 1.61987 -1.66634 -1.43896 -0.0274141 1.61987 1.28492 1.4391 --1.27157 1.20881 -0.968431 2.26082 -0.500607 -1.6175 1.92132 -0.604919 -0.172995 -1.86961 1.90074 -1.52957 --1.38821 0.233058 -1.35901 0.571817 --0.224912 -1.90363 1.38579 -2.2194 -0.101773 -1.78292 -1.96879 1.56016 -0.101773 -1.78292 1.6548 -1.52941 --0.487786 -1.94067 1.03902 -2.6545 --0.487786 -1.94067 -1.25756 2.53755 -1.63943 -0.616426 -1.04817 -1.87461 --1.44212 1.63931 0.930601 -2.97545 -1.83789 0.980629 2.07814 -2.32029 -1.83789 0.980629 -1.94943 2.12756 -1.00124 -1.04654 -1.69164 -0.380011 -1.8874 0.514065 1.16673 -2.58777 -0.725741 -1.72467 2.41377 -0.362554 --0.959067 1.67666 -0.0441382 2.79522 -1.58182 -1.25696 -2.40509 -1.40813 -1.86253 0.721204 -1.3841 2.31197 --0.134511 -1.8158 -1.67735 1.9078 --1.60566 1.0538 -1.66949 2.15918 --1.60566 1.0538 1.77866 -1.9129 -1.02883 -1.83412 2.99362 0.0454278 --0.791976 -1.91683 0.510625 -3.01149 --0.791976 -1.91683 -0.675809 2.8487 -1.47486 1.51382 2.86363 -1.22965 -1.47486 1.51382 -2.87018 1.00678 -0.913455 -1.53545 2.32426 0.196292 -0.00118096 -0.949524 0.700516 0.248601 -1.71859 -0.38558 0.89127 2.28303 -1.71859 -0.38558 -0.597672 -2.15103 -0.746815 -1.20103 0.187631 -0.432563 --1.15481 -1.88206 -0.174663 -3.36707 --1.15481 -1.88206 0.0809738 3.18404 --0.725226 -1.0712 -0.235544 -1.68866 --0.725226 -1.0712 0.361464 0.56611 -1.82117 -1.21103 2.53405 2.15188 -1.82117 -1.21103 -2.45367 -1.95835 --1.07715 -1.52191 0.295753 2.37391 --0.748771 -0.974244 -0.147328 0.902433 --0.940946 1.12063 0.417401 -1.40326 -1.47432 -1.35461 -2.54037 -1.11929 -0.11485 1.23324 0.684768 0.930156 --1.22161 1.98527 -0.188457 3.63575 --1.22161 1.98527 0.10503 -3.47134 --1.897 0.233944 2.72298 -0.455921 --1.897 0.233944 -2.45618 0.525133 --0.637002 0.0690389 0.958762 -0.0596066 --0.665583 1.076 0.407777 -0.510427 --1.32582 -1.38551 -0.942851 -2.61246 --1.32582 -1.38551 0.932552 2.33839 -1.64176 -0.824303 1.68233 2.01697 -1.64176 -0.824303 -1.50316 -1.77553 -0.31673 -1.70534 -2.13398 1.171 --1.76548 0.397401 2.43375 -0.739775 --1.76548 0.397401 -2.16002 0.874897 --1.47324 1.22151 -1.32566 2.40873 -0.369116 1.81246 2.07762 1.10896 --1.33682 1.97284 -0.427109 3.73684 --0.159066 -1.9775 -1.8462 2.18595 --1.86366 1.03739 -2.20141 2.24516 --1.86366 1.03739 2.31707 -2.0594 --1.80871 0.5683 2.457 -1.08184 --1.80871 0.5683 -2.23168 1.24209 --1.9742 0.643358 2.75832 -1.29989 --1.9742 0.643358 -2.57223 1.43694 --1.45671 -0.548709 1.8257 0.891682 --1.45671 -0.548709 -1.53211 -1.16117 -1.9586 0.120322 0.377602 -2.76106 -1.9586 0.120322 -0.121795 2.73043 -1.83421 -1.7659 3.71248 1.73688 -1.83421 -1.7659 -3.70681 -1.58286 -1.74535 1.23363 2.52906 -1.98365 -1.74535 1.23363 -2.45681 1.77656 --0.312579 0.539045 -0.580962 -0.609932 --1.83771 -0.796193 2.40737 1.54707 --1.83771 -0.796193 -2.23848 -1.72798 --0.0092575 -1.47775 -1.45919 1.30016 --0.0092575 -1.47775 1.00817 -1.33372 -1.31389 0.505279 1.025 -1.57146 -1.31389 0.505279 -0.591861 1.23739 --1.25935 0.994405 1.17013 -1.51474 -1.28758 0.328887 0.753332 -1.56088 -1.45135 -0.75774 -1.26293 -1.38959 --0.530993 1.27166 0.173381 1.77154 --1.809 -1.98004 -1.40909 -4.22989 --1.809 -1.98004 1.39662 4.09131 -1.99479 1.60219 3.49413 -2.23203 -1.99479 1.60219 -3.46138 2.08283 --0.82704 1.21615 -0.262785 1.95918 --1.91752 1.8225 1.80144 -3.8367 -1.50529 -0.072808 0.0833052 -1.8625 --1.48803 1.59899 1.06663 -2.93468 -0.606221 -0.787904 -1.20987 0.0945589 -0.606221 -0.787904 1.05015 0.571689 --1.10647 1.50171 -0.462002 2.63964 --1.10647 1.50171 0.374772 -2.36196 -1.92537 0.567985 1.28324 -2.65177 -1.92537 0.567985 -1.07322 2.51812 --1.49501 -0.383149 -1.60299 -0.845503 --0.0176485 1.59023 -1.57313 -1.45287 --0.0176485 1.59023 1.18102 1.47637 -0.689989 -1.54821 -2.29338 0.456008 -0.689989 -1.54821 2.06635 -0.190515 -0.811741 -1.25079 1.76287 0.365168 --1.29732 0.803307 -0.195184 -0.364888 --0.54997 -0.934867 -0.442485 0.939502 -1.46023 -0.463595 -0.621925 -1.58054 -1.53735 1.31593 2.53732 -1.51746 -1.53735 1.31593 -2.50138 1.27638 --1.84605 0.467661 -2.32585 1.03305 -0.371939 1.65333 1.80162 0.88088 -0.794133 -1.61368 -2.49504 0.348635 --0.0797935 1.79637 -1.73357 -1.81152 --0.0797935 1.79637 1.42766 1.84346 --1.47022 -1.58757 -1.05589 -3.10735 --1.47022 -1.58757 1.03994 2.89351 -0.448587 0.109068 0.443162 -0.67866 -1.08074 1.59956 2.62599 -0.41314 -0.612103 1.95278 2.66683 0.873359 -1.10354 0.299705 -0.037555 1.13145 --1.61153 -1.81783 -1.13855 -3.69581 --1.61153 -1.81783 1.11832 3.52725 -1.85548 -1.76684 3.73428 1.78235 -1.85548 -1.76684 -3.727 -1.63031 -0.444724 -0.562502 0.169132 -0.73991 --1.26347 -1.80222 0.390859 3.13555 --1.08791 -1.59066 0.0998365 0.252686 --1.92907 1.22636 -2.24571 2.68163 --1.92907 1.22636 2.32714 -2.50888 -0.0483205 1.68 1.4113 1.48106 -1.8876 -0.914758 1.96973 2.45274 --0.591895 0.20974 -0.473193 -0.599431 -1.08988 0.618048 1.11739 -1.2112 -1.08988 0.618048 -0.913977 0.515916 -1.08988 0.618048 -0.203412 0.695289 --1.80747 0.0706924 -0.309417 -0.0256787 --0.963491 1.32671 -0.376658 2.23244 --0.963491 1.32671 0.253644 -1.86862 --1.96707 -0.54637 2.78108 1.09806 --1.96707 -0.54637 -2.57677 -1.22281 --0.510743 -1.46129 -0.722223 1.74612 --1.93676 1.45982 -2.11783 3.19365 --1.36775 0.701391 -1.3522 1.42375 --1.36775 0.701391 1.59092 -1.09638 -1.97072 0.0175291 0.164119 -2.77747 -1.97072 0.0175291 0.091138 2.77306 -0.566269 -1.69735 -2.40199 0.795918 -0.566269 -1.69735 2.15107 -0.60297 -1.71102 0.938558 -1.78913 1.86902 --1.42914 -1.52573 1.01278 2.72471 -1.33021 1.149 2.07536 -1.26979 -1.33021 1.149 -2.03433 0.950684 --1.62641 1.13783 -1.66794 2.33432 --1.62641 1.13783 1.75637 -2.09738 --1.59885 -0.600532 2.04882 1.0504 --1.59885 -0.600532 -1.79835 -1.2751 --0.861386 1.71524 0.159824 2.75527 --0.861386 1.71524 -0.324337 -2.53905 --1.58231 1.95686 -0.943892 3.95787 --1.58231 1.95686 0.910801 -3.80322 -1.73661 0.737089 -1.359 2.02688 --1.06232 1.19193 -0.632229 2.09528 --1.06232 1.19193 0.592497 -1.68982 -0.0773706 0.229402 -0.577772 -0.252742 -0.0773706 0.229402 0.505417 -0.361061 -0.0773706 0.229402 0.0723551 0.613804 -1.41205 0.786495 -1.30886 1.28873 --1.17385 -0.640135 -0.286591 0.41823 -0.72992 -0.903051 1.25429 0.605403 -0.72992 -0.903051 -1.38427 -0.0173647 -0.163952 1.43856 -1.61833 -1.0616 --0.937409 0.399438 1.17416 -0.437293 --0.937409 0.399438 -0.736452 0.952021 -1.43391 -0.62613 1.25306 1.72878 --1.00959 0.493424 -0.824369 1.06584 --1.00959 0.493424 1.20963 -0.577241 -0.250604 -1.43441 1.22028 -0.800383 --0.757981 0.609788 -0.50785 1.16122 -1.89816 0.79508 -1.56534 2.35637 -0.0766175 -0.681756 0.718727 0.350327 -0.52336 1.49718 -2.06139 -0.657671 -0.52336 1.49718 1.75012 0.392901 --0.676933 -1.64008 0.36723 -2.4302 --0.676933 -1.64008 -0.594243 2.21145 --1.17942 -0.967103 1.05404 1.38884 -1.05343 -1.62937 -2.75532 -0.0899232 -1.05343 -1.62937 2.64853 0.331015 -1.75525 -0.451489 1.02048 2.34267 -1.84575 0.110428 0.364739 -2.53252 -1.84575 0.110428 -0.0776483 2.49955 --1.27178 0.929326 1.25159 -1.41001 -0.147113 -1.96284 2.02234 -1.70692 --0.886056 -1.82471 0.241255 -2.96649 --0.886056 -1.82471 -0.392898 2.77656 -0.189175 -1.88348 -2.22334 1.57496 -0.992604 -1.51746 2.38462 0.350976 -1.40148 -0.530963 1.08747 1.70343 --1.73707 -0.884285 -0.153757 0.210695 -0.8185 1.70363 2.49701 0.173039 --1.99497 -1.21027 -2.39801 -2.68278 --1.99497 -1.21027 2.48295 2.52036 --1.01186 0.870279 -0.736267 1.58181 --1.91713 -0.512014 2.69208 1.01104 --1.91713 -0.512014 -2.47343 -1.13911 --1.69131 -0.103608 -1.99942 -0.233671 -1.9502 -0.658165 -1.28348 -2.5351 -1.9502 -0.658165 -0.189263 -0.14269 --1.10341 -1.27973 -0.636216 -2.26559 --1.10341 -1.27973 0.58605 1.90964 -1.29897 -1.53699 2.74077 0.874863 -1.29897 -1.53699 -2.78197 -0.633191 --0.775634 -1.33464 -0.0900713 -2.08367 --0.775634 -1.33464 -0.13895 1.72144 -1.06047 1.59547 -2.6993 0.132012 -1.49266 1.40061 2.66208 -1.36332 -1.49266 1.40061 -2.64827 1.1259 --0.820993 1.2225 0.0419238 -1.52016 -1.52439 -1.22125 2.34896 1.56489 -1.52439 -1.22125 -2.29416 -1.30867 -1.1565 0.667065 -0.972564 0.701435 --1.44244 -1.80676 -0.804957 -3.51435 --1.44244 -1.80676 0.763407 3.33138 -0.0602001 1.92683 -2.10562 -1.81505 -0.0602001 1.92683 1.83638 1.8009 -1.59526 1.63042 3.20546 -1.36072 -1.59526 1.63042 -3.21002 1.16903 --1.07491 -0.815081 -0.849893 -1.52632 --1.07491 -0.815081 1.04159 1.03723 --1.16243 -1.99769 -0.0611897 -3.59322 --1.16243 -1.99769 -0.0318385 3.43046 --1.80885 -1.10065 -2.05667 -2.35194 --1.80885 -1.10065 2.15941 2.15497 --1.07373 -1.10812 0.706653 1.53471 --1.56138 1.99371 -0.862811 4.01391 --1.56138 1.99371 0.825367 -3.86229 -1.22758 0.541575 -0.566838 0.981363 --1.5755 1.4972 -1.33532 3.01272 --1.5755 1.4972 1.3469 -2.80082 --1.17092 -1.93809 -0.143851 -3.48973 --1.17092 -1.93809 0.0524893 3.31697 -1.60581 -0.804748 1.63056 1.95956 -1.98217 -1.52396 3.31188 2.26697 -1.98217 -1.52396 -3.27102 -2.11228 -1.48885 -1.23409 2.34645 1.48931 -1.48885 -1.23409 -2.29948 -1.22648 -1.31025 -1.18489 2.12183 1.20797 -1.31025 -1.18489 -2.09511 -0.891317 -1.43766 1.00879 1.90585 -1.55208 -1.43766 1.00879 -1.8004 1.24296 -1.26713 -1.76593 -3.20739 -0.375756 -1.26713 -1.76593 3.14017 0.575577 --1.56297 1.26438 1.52463 -2.30402 -1.32688 0.796879 -1.29772 1.0943 --1.60003 1.27384 -1.53785 2.58711 --0.20311 -1.66793 1.06666 -1.85809 -1.12741 1.48283 -2.54573 0.346237 -1.12741 1.48283 2.47015 -0.620693 --1.34503 -1.08696 -1.16825 -2.09025 --0.961479 1.36657 0.211836 -1.94849 -1.92775 -1.78089 3.83177 1.92851 -1.92775 -1.78089 -3.82045 -1.78385 --0.559743 -1.65329 0.556559 -2.31196 --0.790977 1.21506 -0.0194789 -1.48192 --1.22965 1.41815 0.706003 -2.31275 --1.57201 -0.4261 2.07367 0.729869 -1.78667 -0.998533 -1.96169 -2.00401 --1.72687 -0.896931 -1.97609 -1.89848 --1.72687 -0.896931 2.127 1.68466 -1.88012 -1.42224 -0.048554 -0.173338 -0.469355 -1.58562 -2.13413 0.822743 --1.4129 0.585433 -1.44928 1.22491 -0.56034 1.37874 -1.92723 -0.498684 -0.56034 1.37874 1.61837 0.158123 -0.712039 1.77322 -2.67785 -0.643083 -0.712039 1.77322 2.48099 0.450844 -1.42351 -1.63847 3.05669 1.01153 -1.42351 -1.63847 -3.08649 -0.80225 -0.762522 -1.23281 -1.8666 0.0966561 --1.52616 -0.212112 2.05249 0.352932 -0.283045 -0.89791 -1.16452 0.467258 -1.34268 1.76651 -3.27741 0.526601 -1.34268 1.76651 3.22337 -0.721615 -1.2344 1.63746 -2.92616 0.424907 -1.2344 1.63746 2.86139 -0.652164 --0.646567 -1.95218 0.798545 -2.88623 --0.646567 -1.95218 -0.987849 2.74652 --1.3307 -1.73309 0.602734 3.06107 --1.81194 0.961141 -2.12582 2.06318 --1.81194 0.961141 2.25864 -1.86783 -0.0414341 0.0218283 0.228177 -0.279159 -0.0414341 0.0218283 -0.355729 -0.0579134 -0.0414341 0.0218283 0.127552 0.337072 -0.62977 1.51581 1.93199 0.245308 -1.91198 -1.74202 3.73147 1.92895 -1.91198 -1.74202 -3.71778 -1.7802 --1.69402 0.841125 -1.92931 1.77462 --1.69402 0.841125 2.09661 -1.55455 --0.931337 -0.0682525 1.2447 0.0750955 -1.36707 -1.70423 3.12756 0.834969 -1.36707 -1.70423 -3.17284 -0.631313 -0.642103 -1.77932 -2.61299 0.764177 -0.642103 -1.77932 2.39794 -0.582419 -0.263126 1.68385 1.70425 1.11598 --0.0196202 0.0747809 -0.34933 -0.244097 --0.0196202 0.0747809 -0.0361111 0.424677 --0.0196202 0.0747809 0.385441 -0.18058 --0.340811 -1.82282 -1.36531 2.16573 --0.340811 -1.82282 1.09785 -2.27041 -0.855442 1.13055 -1.76367 0.104742 -0.855442 1.13055 1.64265 -0.551728 --0.807743 1.87108 0.428394 2.95326 --0.807743 1.87108 -0.594313 -2.77947 --0.436973 1.94318 -1.34824 -2.48062 --0.436973 1.94318 1.12223 2.58773 --1.38119 -1.70856 -0.777067 -3.26428 --1.38119 -1.70856 0.733514 3.06087 --1.73014 -1.24696 1.8858 2.40359 --0.111512 1.43226 0.453174 -0.0967828 --0.00887451 1.34957 0.52647 -0.0635543 --1.90114 -0.172154 2.73975 0.33574 --1.90114 -0.172154 -2.46774 -0.387294 --1.82903 -0.0239758 2.61115 0.0454949 --1.82903 -0.0239758 -2.30786 -0.0538857 --1.49715 -0.0412219 -1.54696 -0.101413 --1.76621 -1.65618 1.61504 3.31959 --1.03989 -1.42758 0.312568 2.1473 -0.261948 -0.0131444 0.325703 0.557615 -0.261948 -0.0131444 0.305005 -0.56706 -1.65051 -0.768845 1.58349 2.05669 -1.65051 -0.768845 -1.38602 -1.82244 -1.55158 -1.58594 3.07554 1.31413 -1.55158 -1.58594 -3.08047 -1.11163 --1.70997 0.100885 2.38674 -0.182565 --1.70997 0.100885 -2.04117 0.227121 -1.72502 -0.936175 -0.142009 -0.219975 --0.0338769 -1.48608 -1.43728 1.33686 --0.0338769 -1.48608 0.995001 -1.38237 -0.522405 -1.68151 2.06272 -0.657122 --1.82468 1.69944 -1.69395 3.63053 --1.82468 1.69944 1.70561 -3.46999 --1.38361 0.219296 -0.477607 -0.208586 --0.203935 0.508539 0.687954 -0.313862 -0.286682 -1.28477 0.83227 -0.465429 -0.286682 -1.28477 0.733584 -0.299102 --1.50689 1.15905 -1.42544 2.31042 --1.6493 0.0235788 -1.90265 0.0537367 --1.79746 0.452744 2.47737 -0.854753 --1.79746 0.452744 -2.2235 0.99559 -1.93535 1.29456 -2.71347 2.16288 --1.31574 0.00669995 -0.948993 0.0626288 --1.31574 0.00669995 -0.7926 -0.0527633 -1.27799 -0.971234 -1.6515 -0.928013 -0.547458 -0.574483 0.839478 0.639814 -1.84311 -0.0520355 0.249034 2.52176 -1.84311 -0.0520355 0.0408501 -2.50612 -1.44579 0.0390364 -0.448179 0.0195283 -1.0876 -1.15287 1.88748 0.869331 -1.0876 -1.15287 -1.91714 -0.484782 -1.90837 0.453048 -0.815514 2.52618 -0.928921 1.09954 1.6692 -0.681875 --1.30446 1.2376 1.02844 -2.02105 --1.45168 1.36507 1.20839 -2.41311 -1.06294 0.77881 1.32435 -1.09869 -1.06294 0.77881 -1.23078 0.535979 --1.57913 1.92323 -0.970557 3.8844 --1.57913 1.92323 0.939103 -3.72573 --0.85297 -1.09599 0.229973 1.23428 -1.30042 0.622406 -0.867722 1.10287 --0.866727 -0.909728 0.647916 0.886586 -1.45365 0.991337 -1.77133 1.28531 -0.414315 -1.94537 2.37562 -1.21706 --1.13762 -1.35188 0.58414 2.08923 --0.786156 1.05179 -0.327367 1.70596 -1.74386 1.19903 2.45899 -2.00396 -1.74386 1.19903 -2.37984 1.7946 -1.07524 -0.773832 -1.22022 -0.55842 -0.94608 1.83096 -3.0208 -0.296534 -0.94608 1.83096 2.88596 0.103922 -1.22243 1.93785 -3.50554 0.120678 -1.22243 1.93785 3.42404 -0.292395 --0.773009 1.89463 -0.686565 -2.78516 --0.200484 -1.46086 -1.19253 1.47141 -1.95363 0.725841 -1.43625 2.5128 --0.516183 -0.560753 0.781592 0.379407 --0.796282 1.49202 -0.231751 -2.04707 --0.213639 -0.795697 0.0689215 -1.06416 --0.213639 -0.795697 -0.735197 0.735306 -1.72209 -1.93226 3.9634 1.33041 -1.72209 -1.93226 -3.98056 -1.18231 --0.141408 -0.874115 0.66353 0.300076 --0.113235 -1.55279 1.00821 -1.58109 -1.77679 -0.592593 1.29407 2.35319 -1.77679 -0.592593 -1.06261 -2.18306 -1.42261 0.3967 -0.411717 0.213152 --1.26327 -1.75643 -0.506839 -3.24357 --0.02637 -0.0314859 -0.0794815 -0.335806 --0.02637 -0.0314859 -0.250965 0.236703 --0.02637 -0.0314859 0.330447 0.0991032 --1.47703 1.14982 1.44768 -2.00099 -1.25226 -0.223285 -0.0465571 -1.38184 -0.966046 -1.13956 0.0737202 -0.418936 -1.30804 0.68831 -1.0378 1.08984 -0.980816 -1.16234 1.8069 0.699084 -0.980816 -1.16234 -1.87962 -0.292887 --1.67506 -0.93085 -1.85926 -1.94703 --1.67506 -0.93085 2.00262 1.71854 --1.27968 0.3175 -1.19078 0.767975 -1.91712 -1.80249 3.86991 1.88501 -1.91712 -1.80249 -3.86116 -1.74094 --1.3857 1.16842 1.25177 -1.95879 --0.667485 -1.35208 0.0764477 -2.00728 -0.363269 -1.36014 1.25003 -0.440335 -1.95855 -0.402488 0.954173 2.74981 --1.51302 -1.87863 -0.877763 -3.72752 --1.51302 -1.87863 0.841069 3.55924 -0.121463 -1.56017 1.29893 -1.20464 --1.52066 0.762206 -1.61566 1.56979 --1.52066 0.762206 1.81847 -1.29961 -0.540091 1.64918 -2.30103 -0.78498 -0.540091 1.64918 2.03146 0.58141 --0.822167 -1.10509 0.132805 1.23103 -0.148824 -1.55597 -1.74022 1.21393 -0.186306 -1.40175 -1.60019 0.99597 -1.08023 1.07172 0.0101781 0.416488 -1.64564 -1.50846 3.00389 1.57166 -1.64564 -1.50846 -2.98713 -1.37204 --0.88929 -0.870725 -0.566914 -1.52706 -0.549971 -0.485029 -0.927452 0.0776427 --0.809024 1.1934 -0.255398 1.91328 -1.25152 -0.521354 -0.553752 -1.07505 --0.862446 -0.153801 1.16257 0.159044 --0.862446 -0.153801 -0.629469 -0.725071 -1.64798 0.66139 -1.14999 1.87055 --0.280159 1.91133 -1.56961 -2.2357 --0.280159 1.91133 1.31543 2.31324 -0.997312 -1.84501 -3.09865 0.217074 -0.997312 -1.84501 2.97536 -0.0265758 --1.13241 -0.172686 -0.896451 -0.626227 --1.70381 0.693491 2.19794 -1.2752 --1.70381 0.693491 -1.99016 1.48019 --1.13574 1.85033 -0.173381 3.28783 --1.13574 1.85033 0.0764259 -3.09844 -1.96413 -1.31904 2.85526 2.37839 -1.96413 -1.31904 -2.78792 -2.21268 --1.81935 -1.43734 -1.8802 -3.06503 --1.81935 -1.43734 1.92374 2.8842 --1.64767 0.0751484 -1.9002 0.170977 --0.694073 -1.26117 -0.250881 1.51837 --1.58204 -1.5977 -1.2695 -3.21937 --1.58204 -1.5977 1.26802 3.02107 --1.76334 -1.81371 -1.46364 -3.82474 --1.76334 -1.81371 1.45938 3.66834 --1.04422 -1.09464 -0.666984 -1.93207 -1.39058 0.487872 -0.622411 1.41811 -1.67878 -0.0852966 0.332599 2.20894 -1.67878 -0.0852966 0.0115918 -2.17671 --0.00841517 -1.57294 1.16412 -1.4406 --1.01759 1.54228 -0.274948 2.62754 --1.01759 1.54228 0.156127 -2.35624 -0.744063 -1.64119 0.199572 -0.235346 -0.343389 -1.26397 -1.59264 0.67989 --1.09089 1.33698 0.504127 -2.01327 -1.11135 0.997591 1.66953 -1.02844 -1.11135 0.997591 -1.64372 0.593387 --1.21381 -0.913198 -1.02783 -1.73264 --1.21381 -0.913198 1.16589 1.32915 -1.89553 -0.744768 1.63009 2.53879 -1.18772 -1.96757 -3.52878 -0.0212714 -1.18772 -1.96757 3.44113 0.188694 --1.79502 0.0505763 2.5463 -0.0947261 --1.79502 0.0505763 -2.23145 0.113602 --1.22475 1.45245 0.662829 -2.37769 -0.882348 1.43657 -2.27597 -0.0508883 -0.882348 1.43657 2.12513 -0.260379 -1.31804 -0.45518 -0.490693 -1.29689 -0.763747 1.18585 -1.79704 -0.065649 -0.763747 1.18585 1.62069 -0.371871 --0.342242 -0.749743 -0.0530731 -1.10873 -0.802878 0.956647 1.37455 -0.643711 -0.802878 0.956647 -1.48092 0.099641 --0.795585 1.58055 0.120406 2.46907 -1.19856 -0.55098 -0.528633 -0.874066 -1.19856 -0.55098 -0.532769 -0.512786 --0.635517 1.69748 0.497002 2.46879 --0.635517 1.69748 -0.726763 -2.27349 -0.511275 -1.3375 1.48239 -0.165501 -0.517736 -1.7282 -2.39667 0.903716 -1.22736 -0.561763 -0.627132 -0.946282 --1.78394 -1.09578 -2.0074 -2.32962 --1.78394 -1.09578 2.11084 2.12737 --0.00203509 -0.0811502 -0.00320781 -0.433 --0.00203509 -0.0811502 -0.373337 0.21999 --0.00203509 -0.0811502 0.376545 0.21301 -0.394741 -1.97715 -2.63297 1.39189 --1.99632 -1.18464 -2.4147 -2.62729 --1.99632 -1.18464 2.50366 2.4649 -0.541015 1.69694 -2.37436 -0.834194 -1.5857 0.723269 1.47502 -1.95656 -1.5857 0.723269 -1.2537 1.70333 -1.11539 0.64395 -0.944015 0.590477 --1.99458 -1.08794 -2.45944 -2.41459 --1.99458 -1.08794 2.56419 2.25232 --1.94396 -1.26172 -2.25795 -2.76662 --1.94396 -1.26172 2.334 2.59702 -1.5703 -0.488056 -0.738422 -1.7944 -1.96782 -1.88764 4.10834 1.91846 -1.96782 -1.88764 -4.10284 -1.78415 -1.16705 -1.16806 0.00713682 -0.359083 --1.89622 0.453153 2.66966 -0.886902 --1.89622 0.453153 -2.43632 1.00792 --1.11803 0.362591 1.40302 -0.465642 --1.11803 0.362591 -0.956983 0.882767 --1.07619 1.07565 0.748295 -1.4746 -0.0112064 -1.35115 0.820889 -1.17852 --1.9122 1.9124 -1.70219 4.17594 -1.83441 -1.93134 4.0756 1.5773 -1.83441 -1.93134 -4.08293 -1.43667 --0.622999 0.326667 -0.442181 0.863478 -0.734585 1.18209 0.190827 0.444562 --0.192531 1.84591 -1.62673 -2.02474 --0.192531 1.84591 1.34572 2.08678 --1.31305 0.0954041 -1.10909 0.333804 --0.383726 1.60217 -1.0576 -1.85866 -1.54046 1.61157 3.11632 -1.2681 -1.54046 1.61157 -3.12579 1.06772 -1.27849 1.73522 -3.15679 0.426158 -1.27849 1.73522 3.09354 -0.630922 -1.46014 -1.99022 0.0491041 -0.156311 --1.19267 1.7847 -0.346899 3.22591 --1.19267 1.7847 0.262997 -3.02481 --1.19267 1.7847 0.0839023 -0.201098 --1.55193 1.82403 -1.00972 3.65306 --1.55193 1.82403 0.981824 -3.48057 -0.234465 0.931658 0.845095 -0.255546 -0.234465 0.931658 0.317795 0.788924 -0.864213 1.65309 -2.62674 -0.267114 -0.864213 1.65309 2.46614 0.0299129 -1.29795 0.371026 0.817598 -1.57203 -1.29795 0.371026 -0.315136 1.34033 -0.671065 0.447597 0.774058 -0.794479 -1.23277 1.4442 2.50743 -0.845128 -1.23277 1.4442 -2.55118 0.57422 -0.615228 1.59192 -2.29013 -0.613095 -1.50746 0.650618 1.31906 -1.84509 -1.01473 -1.13108 -1.84291 -0.366581 --0.139808 -0.52692 -0.0196708 -0.856146 --0.139808 -0.52692 -0.658597 0.533289 --1.65731 1.95444 -1.10479 4.027 --1.65731 1.95444 1.07991 -3.87655 --1.72505 0.810285 2.17546 -1.51259 --1.72505 0.810285 -2.00169 1.72235 --1.09178 -0.90273 0.974248 1.18835 -0.89568 -0.611027 -0.00764549 -0.732559 --1.58032 -1.48951 -0.0133531 0.212127 --0.438746 -0.766419 -0.124364 -1.1776 --1.01561 -0.747702 -0.240924 0.522415 -0.549214 1.8273 2.35545 0.812244 --1.55453 -1.47302 -1.3119 -2.94892 --1.55453 -1.47302 1.32455 2.73066 -0.3132 1.50483 1.44861 0.775754 --1.7194 -1.95411 1.21961 3.94021 --0.468065 0.800344 -0.13137 1.22499 -1.28157 -0.614348 -0.834687 -1.058 --0.0424059 1.78154 -1.76861 -1.74363 --0.0424059 1.78154 1.45551 1.76388 -1.33585 0.957169 1.7551 -1.41025 -1.50923 0.95974 -1.73129 1.41954 --1.44076 -0.0920276 1.92915 0.146055 -1.64742 0.397237 0.904056 -2.15062 -1.64742 0.397237 -0.590064 1.99961 --0.138788 1.84272 -1.70435 -1.95333 --0.138788 1.84272 1.41735 2.00015 --0.961402 -1.36239 -0.343893 -2.28639 -1.71345 0.280752 0.695181 -2.28155 -1.67628 -0.510408 -0.839487 -2.00594 --0.138166 -0.854955 -0.824402 0.745792 --0.138166 -0.854955 0.156451 -1.04989 --0.988263 1.85611 0.0992659 3.13687 --0.988263 1.85611 -0.226699 -2.94964 -1.59121 1.40839 2.75918 -1.54731 -1.59121 1.40839 -2.73338 1.32777 -0.767465 1.84731 -2.86207 -0.628798 -0.767465 1.84731 2.68655 0.449925 -1.27465 -0.409841 -0.360201 -1.26178 --1.41281 1.73904 0.769469 -3.15711 --1.14405 -1.81341 0.133035 3.03205 -1.88328 1.61911 3.43802 -1.97408 -1.88328 1.61911 -3.41398 1.81382 --0.47228 -1.49716 0.491063 -1.99129 --0.47228 -1.49716 -0.816596 1.77252 --0.918722 1.67452 0.0211769 2.74951 --0.918722 1.67452 -0.171362 -2.51899 --1.45053 -1.75855 0.829864 3.23673 -1.80707 1.96809 4.12917 -1.47955 -1.80707 1.96809 -4.14115 1.34011 -1.96272 -1.00866 -2.07952 -2.39352 --1.19291 1.87814 -0.250186 3.40055 --1.19291 1.87814 0.163615 -3.21744 -1.80035 -0.0891719 -0.301932 -0.0284274 -0.741032 -1.81725 -2.78243 0.641425 -1.96796 1.04571 -2.16661 2.38527 --0.447717 -1.32619 0.328582 -1.75095 --0.447717 -1.32619 -0.721058 1.47893 --1.83971 -0.632415 2.49098 1.22065 --1.83971 -0.632415 -2.28503 -1.38346 -1.97585 1.95977 4.27986 -1.86685 -1.97585 1.95977 -4.27888 1.7378 --1.33703 -0.19678 -1.24004 -0.52404 --0.492531 -1.73292 0.754381 -2.34423 --0.492531 -1.73292 -1.01348 2.18595 -1.20382 -1.16888 2.01006 1.04171 -1.20382 -1.16888 -2.00643 -0.692559 -1.18396 0.954403 -1.58473 0.745633 -1.09299 -1.9715 3.33331 -0.000867 -0.639827 0.536004 -0.976795 -0.0168759 --1.32626 0.990772 -0.112168 -0.344073 -0.819538 1.47694 2.11549 -0.111266 -0.422758 -0.930467 0.272121 -0.674652 -0.805167 1.4725 -2.27329 -0.206626 --1.82343 1.60205 1.79107 -3.25117 --1.26335 -1.6154 -0.639562 -2.98124 -1.60076 1.94536 3.8641 -1.05669 -1.60076 1.94536 -3.89441 0.902317 --1.28324 1.78113 -0.520313 3.30986 --1.28324 1.78113 0.454088 -3.11236 --1.23012 -1.79161 0.332883 3.07848 -0.863014 -1.70864 2.56191 -0.101076 --0.837606 1.01545 0.35009 -0.943879 --0.837606 1.01545 0.0687663 -0.747319 -1.73486 0.405264 0.93018 -2.31107 -0.249674 1.98993 2.21748 1.57003 -0.397881 0.716562 -1.06448 -0.268586 --1.68928 -0.499662 -1.99214 -1.08304 --0.968722 -1.33926 0.252502 1.89941 -1.26874 1.12741 1.99239 -1.18183 -1.26874 1.12741 -1.95947 0.839726 -1.27293 -1.82291 -3.32616 -0.334187 -1.27293 -1.82291 3.25701 0.523577 -1.18 -1.66375 -2.93017 -0.297241 -1.18 -1.66375 2.85175 0.522875 -1.18 -1.66375 0.0784127 -0.225634 --1.65655 -1.65196 -1.37719 -3.39135 --1.65655 -1.65196 1.37805 3.20831 -0.93575 0.971222 1.50015 -0.799348 -0.93575 0.971222 -1.54419 0.296696 -0.22028 0.546012 0.148891 0.761922 -0.264997 -0.974955 0.346161 -0.759678 --1.846 -1.07542 -2.14659 -2.31711 --1.846 -1.07542 2.25468 2.12758 --1.07391 -0.875125 0.976587 1.12544 -1.93967 0.15995 0.459502 -2.72391 -1.93967 0.15995 -0.200895 2.68228 -1.47776 1.31234 -2.45511 1.15431 --1.15796 1.78116 0.195638 -2.98099 --1.06964 -1.23254 0.565203 1.77991 --0.711956 1.86424 0.579171 2.82511 --0.711956 1.86424 -0.766598 -2.65967 -0.487356 1.94586 2.47994 1.08783 -0.509761 -1.43298 1.62504 -0.318597 --1.75713 -0.985226 -2.00279 -2.09011 --1.75713 -0.985226 2.13111 1.88165 --1.02874 -1.59154 -0.246955 -2.721 --0.35867 -1.33866 0.44449 -1.66616 --0.35867 -1.33866 -0.864473 1.43361 -0.988255 1.07389 1.68483 -0.788229 -0.988255 1.07389 -1.733 0.346922 -1.01978 1.0008 1.60596 -0.892215 -1.01978 1.0008 -1.61953 0.428139 --1.60815 -1.06152 -1.67066 -2.17543 --1.60815 -1.06152 1.77784 1.93011 -1.99472 0.0324784 0.192681 -2.82913 -1.99472 0.0324784 0.0565131 2.82123 -1.24151 -1.24368 2.16639 1.04258 -1.24151 -1.24368 -2.171 -0.723191 --1.86085 1.06737 -2.18168 2.30715 --1.86085 1.06737 2.29135 -2.12061 --1.44615 -0.114232 -1.43888 -0.289564 --1.44615 -0.114232 -0.496824 0.107686 --0.015551 -0.28061 -0.000912836 -0.656573 -1.7879 -1.26696 2.62552 2.04655 --1.48077 -0.987109 1.58656 1.68839 -1.09176 1.84507 -3.19365 -0.0402168 -1.09176 1.84507 3.08995 -0.150378 -1.09872 -0.196885 0.0823725 -1.19667 --1.86796 0.0476839 2.68497 -0.0918106 --1.86796 0.0476839 -2.3953 0.107301 -1.00097 1.88097 3.04701 0.0641593 --1.26788 1.4168 0.0296561 -0.277977 -1.15634 0.993344 1.69517 -1.0997 -1.15634 0.993344 -1.65096 0.679442 --1.44062 1.12003 -1.32307 2.20114 --1.9597 -1.4194 -2.19517 -3.12043 --1.9597 -1.4194 2.2487 2.95836 -1.92568 1.84556 3.9738 -1.86373 -1.92568 1.84556 -3.96795 1.72337 --1.89489 1.20721 -2.1828 2.62161 --1.89489 1.20721 2.26677 -2.4427 --1.92347 1.269 -2.2094 2.77055 --1.92347 1.269 2.28377 -2.59788 -1.46482 -1.3946 2.62705 1.31563 -1.46482 -1.3946 -2.61651 -1.07242 -0.941259 1.69494 -2.77197 -0.171795 -0.35294 -1.46673 -1.85263 0.859833 -0.6289 -0.538328 -0.977744 0.0258157 --0.902885 -1.65862 0.0306788 -2.70655 --0.902885 -1.65862 -0.18609 2.4719 --1.63613 -0.774147 2.02519 1.39139 --1.63613 -0.774147 -1.8347 -1.62399 -1.93881 1.20321 2.59303 -2.40053 -1.93881 1.20321 -2.50795 2.22786 --1.37251 -1.2775 -1.10368 -2.44867 --1.37251 -1.2775 1.12728 2.16349 -0.624117 1.76625 -2.57245 -0.778977 -0.624117 1.76625 2.35054 0.596336 -1.19621 0.28389 -0.093066 1.25917 -1.86738 -1.98983 4.23923 1.59158 -1.86738 -1.98983 -4.2478 -1.45766 -0.320217 1.18168 0.963543 0.0393048 --0.403389 1.34391 0.399702 1.72292 --0.403389 1.34391 -0.801852 -1.4746 --1.38054 -0.276242 1.80409 0.424794 --1.38054 -0.276242 -1.35938 -0.659358 --1.6007 -1.7258 1.18575 3.31551 --1.6007 -1.7258 0.013358 0.180383 -0.474285 0.6492 -1.03612 -0.177578 -0.474285 0.6492 0.863054 -0.549596 -1.89195 -0.289176 -0.259869 -0.0787673 --0.714432 -0.126556 -0.522577 -0.724764 -0.277962 1.05488 -1.31114 -0.580918 -0.00101628 -1.3701 -1.35984 1.15997 --1.9474 -0.44679 -2.54927 -1.00066 --0.533877 1.76879 0.738998 2.45075 --0.533877 1.76879 -0.981107 -2.29201 --0.978082 1.75868 0.0100234 2.95531 --0.978082 1.75868 -0.142131 -2.74584 --0.551522 -0.199664 -0.467973 0.598068 -0.209725 -1.53999 -1.79137 1.12046 -1.6851 0.46117 -0.286651 0.162044 --1.82718 -0.869508 2.34522 1.68981 --1.82718 -0.869508 -2.19232 -1.87803 --0.559822 1.45092 -0.630361 -1.76911 --1.54184 -0.288489 -1.68772 -0.648967 -1.28321 -1.84248 -3.37507 -0.336111 -1.28321 -1.84248 3.30678 0.521689 -1.7433 1.85358 3.81484 -1.45584 -1.7433 1.85358 -3.82441 1.30188 -1.66775 1.91222 3.86409 -1.23417 -1.66775 1.91222 -3.88524 1.0805 --1.67962 1.0055 1.961 -1.86999 --0.937961 -1.33749 -0.32828 -2.22812 -1.17168 -0.303329 -0.0989167 -1.21047 --1.20955 1.34935 0.73182 -2.15412 -1.21154 -0.391422 -0.575167 -0.263691 -0.38286 1.40931 1.37766 0.494061 -0.702207 -1.64064 2.2376 -0.292398 -0.339653 1.78539 1.98882 1.12266 --0.815118 1.91569 -0.630414 -2.87283 --1.16776 1.01427 0.98511 -1.46089 --1.53838 1.24598 1.48993 -2.2457 --1.80764 -0.838915 2.32319 1.61668 --1.80764 -0.838915 -2.16205 -1.80761 --0.845587 -1.00236 0.411269 0.946569 -0.585408 1.56007 1.94339 0.379883 -1.96244 -1.03392 -2.13677 -2.37918 --1.00689 -1.96083 0.185714 -3.34594 -1.26877 -0.352197 -0.257038 -1.30849 -0.0236347 -1.02195 -1.07334 0.781398 -0.0236347 -1.02195 0.375813 -0.98898 -1.94954 1.23632 2.66966 -2.40217 -1.94954 1.23632 -2.58985 2.23194 --1.8271 1.50437 -1.84962 3.21313 --1.8271 1.50437 1.88431 -3.03796 --1.35009 0.56269 1.6444 -0.860524 -0.820513 1.19821 -1.84955 0.0131897 -0.820513 1.19821 1.69909 -0.434826 -1.62206 -0.526208 1.13237 2.08195 --0.253111 1.72534 1.08287 2.00744 -0.268818 -0.385727 -0.775334 0.220904 -1.55645 1.89486 3.71074 -1.01725 -1.55645 1.89486 -3.74301 0.854422 --1.77711 0.169993 2.50312 -0.316438 --1.77711 0.169993 -2.19149 0.38033 -0.770835 -1.51864 2.12271 -0.0196261 -1.88481 0.949924 2.03969 -2.43031 -1.88481 0.949924 -1.90556 2.24881 --1.36273 -1.34835 1.0423 2.29748 --0.408781 0.811646 -0.0715056 1.19963 -0.0393442 -1.56558 0.408916 -0.00275851 --1.999 -0.743193 2.76593 1.51856 --1.999 -0.743193 -2.60055 -1.66212 --1.999 -0.743193 -0.165382 0.143551 --1.49153 -0.386553 1.95003 0.634907 --1.06919 -1.24648 -0.604938 -2.18688 --1.15971 -1.60675 0.0815556 0.243424 -1.26745 -1.29415 2.27537 1.04387 -1.26745 -1.29415 -2.28455 -0.742802 --1.51012 1.52843 -1.18189 3.02394 --1.51012 1.52843 1.17998 -2.80658 -0.431231 -1.99347 -2.70567 1.35548 -0.431231 -1.99347 2.4852 -1.25556 --0.905761 -1.04528 -0.493763 -1.77433 --0.905761 -1.04528 0.444663 1.18147 --0.905761 -1.04528 0.0490999 0.592861 --1.37449 1.96165 0.454069 -3.59046 -0.962931 1.78905 -2.96177 -0.223816 -0.962931 1.78905 2.82998 0.0212015 -1.23134 0.597105 -0.750448 0.920796 -1.05982 -0.129091 0.481893 1.25063 -1.05982 -0.129091 0.178927 -1.1864 -1.59993 -0.717557 1.47012 1.98433 -1.59993 -0.717557 -1.24838 -1.73739 --1.93298 1.54903 -2.04666 3.38653 --1.93298 1.54903 2.08245 -3.22753 --0.554167 1.31889 0.350621 -0.31439 --1.39147 0.856701 1.52213 -1.38011 -1.76078 0.457062 1.03198 -2.35222 -1.76078 0.457062 -0.765078 2.20886 -0.717935 -1.87951 -2.86258 0.748684 --1.2326 1.60693 -0.590933 2.93799 --1.2326 1.60693 0.527059 -2.70087 --1.96811 -1.00385 -2.43986 -2.21936 --1.96811 -1.00385 2.55979 2.05422 --1.3115 1.23917 -1.01904 2.33978 -1.22349 -1.42859 2.47076 0.843708 -1.22349 -1.42859 -2.51449 -0.567677 --0.366347 1.49323 0.62148 1.85774 --0.366347 1.49323 -0.981207 -1.67198 -0.646236 -1.05966 -1.5535 0.159339 -0.646236 -1.05966 1.34164 0.370885 --1.04752 1.57443 -0.295142 2.70985 -1.70591 -0.737225 1.54607 2.17232 -1.70591 -0.737225 -1.34424 -1.9595 -1.70591 -0.737225 -0.201833 -0.212826 --1.26947 0.0108685 -0.865323 0.248701 --1.26947 0.0108685 -0.80912 -0.233172 --1.79686 1.34295 1.95192 -2.66086 --0.46842 1.56909 -0.88857 -1.88724 -1.9876 -0.967607 2.12605 2.63361 -1.9876 -0.967607 -1.99935 -2.4719 --1.93471 0.565174 -2.5025 1.25793 -0.306302 1.12134 0.939779 -0.061148 -1.02129 -0.879154 -1.40895 -0.45915 -1.96478 -1.77485 3.85202 2.01647 --1.21008 -1.10616 -0.925842 -2.04871 -0.465032 0.374591 0.654438 -0.64032 --1.55498 -1.06682 1.66851 1.90013 --0.922317 -1.0331 0.501559 1.18314 --0.94273 -1.19907 0.109286 0.443342 --1.0147 -0.67542 -0.805891 -1.30905 --1.0147 -0.67542 1.09168 0.796607 -1.46014 -1.95082 -3.76964 -0.595357 -1.46014 -1.95082 3.72232 0.756655 --0.58732 -1.7086 -0.823896 2.24356 -1.56887 -0.714487 -1.22592 -1.67089 -0.348305 1.56878 -1.98258 -0.973006 --0.808474 -0.966925 0.484901 0.808513 -1.60003 1.24305 -2.38679 1.45564 -1.81351 -0.808163 1.72467 2.35154 -1.81351 -0.808163 -1.55331 -2.16165 -0.389158 1.75153 1.99873 0.988357 --0.275053 1.82906 -1.47785 -2.0983 --0.275053 1.82906 1.20221 2.18505 -0.284548 1.27907 -1.55736 -0.761723 -0.284548 1.27907 0.790879 0.483153 -0.284548 1.27907 0.766481 0.27857 --1.99204 0.852794 2.69676 -1.74615 --1.99204 0.852794 -2.55058 1.8998 --0.609147 1.69676 -0.773082 -2.24515 -0.575384 -1.50871 -2.1272 0.593213 --0.391917 -0.962083 0.0472931 -1.32164 --0.391917 -0.962083 -0.628367 0.953044 --1.47129 -0.112321 -1.49771 -0.277604 --1.21026 1.49652 0.590418 -2.45324 --1.91184 1.7001 1.90205 -3.55123 --0.0235121 -1.25203 0.641873 -1.15803 -0.224202 1.90197 2.02884 1.48769 -0.0226194 1.35008 -1.36461 -1.11525 -0.0226194 1.35008 0.828589 1.15888 --1.65067 0.36595 -1.91878 0.804369 -1.54284 -0.649952 -1.07091 -1.64726 --0.360121 0.391988 -0.519412 -0.57179 -1.11167 -1.44614 0.0756946 -0.286472 -0.30927 1.75345 -2.19266 -1.23907 -0.30927 1.75345 1.89041 1.13126 -1.88484 -1.04786 2.23917 2.37971 -1.88484 -1.04786 -2.12554 -2.19608 --0.966726 0.868265 0.83024 -0.987301 --0.966726 0.868265 -0.156946 -0.571943 --1.66815 -0.917616 -0.147128 0.230112 -1.5083 0.955785 1.854 -1.70826 -1.88282 1.50994 3.203 -2.06315 -1.88282 1.50994 -3.16607 1.8955 -1.96709 -1.1186 2.432 2.51073 -0.873685 -1.81068 -2.91036 0.405336 -0.873685 -1.81068 2.75789 -0.210551 -0.94869 -1.69574 2.64427 0.0666234 --1.29977 -1.42415 0.842838 2.39235 --1.89403 -0.851482 2.49242 1.69059 --1.89403 -0.851482 -2.33958 -1.86319 --1.15046 -1.52566 -0.516964 -2.71977 --1.51559 1.18139 -1.42936 2.35774 --1.51559 1.18139 1.49807 -2.0961 -0.119064 -1.11595 -1.23846 0.784074 -0.119064 -1.11595 0.506899 -0.900701 --1.11779 1.69948 -0.296366 2.99581 --1.11779 1.69948 0.199158 -2.77306 --0.302076 -1.82499 -1.43012 2.12383 --0.302076 -1.82499 1.15726 -2.21829 --0.808389 -0.994862 0.406714 0.811961 --0.808389 -0.994862 -0.0136848 0.834025 -1.13014 -0.334914 0.746392 1.33748 -1.13014 -0.334914 -0.100804 -1.13081 -0.743089 -1.91611 -2.95341 0.746729 -0.743089 -1.91611 2.77887 -0.585586 -1.64639 0.0479502 0.267931 -2.14374 -1.64639 0.0479502 0.090053 2.1248 -0.474787 1.71527 -2.32957 -0.954178 --1.43226 0.603029 -1.48251 1.25871 -1.19025 0.543127 -0.566715 0.501239 -1.87637 1.00799 -2.03136 2.19893 --0.191876 1.35479 0.64053 1.47788 -0.787086 -0.788279 0.0775956 -0.633754 --1.73864 -0.429373 -2.10088 -0.940829 --1.5641 1.91036 0.919519 -3.68175 --1.1456 -1.46505 -0.5608 -2.61042 -1.17973 1.09659 1.87394 -1.06008 --0.781598 -1.15392 -0.00357684 1.33484 -0.802557 0.924136 0.0987144 0.560511 -1.76195 -1.34527 -0.0528998 -0.196606 -0.604686 1.32337 -1.8857 -0.391118 -1.3081 0.375449 -0.493594 0.232757 --1.74988 -1.54688 -1.65479 -3.24623 --1.74988 -1.54688 1.67776 3.06419 -0.0760305 1.78538 1.62364 1.57584 -1.59489 1.44144 2.82722 -1.52716 -0.232674 0.122385 -0.629677 -0.0938643 -1.75145 -0.425412 0.970496 2.33954 -1.75145 -0.425412 -0.694459 -2.20266 -1.53763 -1.86086 3.62022 1.01403 -1.53763 -1.86086 -3.65255 -0.845854 -1.55626 1.63411 0.00992518 0.195588 --1.27304 1.8257 0.386011 -3.19453 -1.56591 -0.595142 -0.963962 -1.72681 -1.97544 -0.240763 0.624859 2.79716 -1.97544 -0.240763 -0.380706 -2.73828 -1.64004 0.263363 -0.319008 2.04335 -1.10967 -1.93349 -3.38112 0.0957931 -1.10967 -1.93349 3.28035 0.0779555 --1.53437 -1.26356 1.46684 2.27812 -1.24103 -0.22481 -0.557743 -0.13194 --1.21507 0.777622 -1.0779 1.51401 -1.00305 -0.944803 1.51493 0.910549 -1.00305 -0.944803 -1.51845 -0.415336 --1.85723 1.57581 1.88952 -3.22247 --0.537892 -1.08638 -0.466641 1.14801 --0.640726 1.59348 0.246432 -0.22746 -1.19071 1.90369 -3.4059 0.0924991 -1.19071 1.90369 3.31976 -0.270623 --1.57642 -0.857516 -1.69298 -1.76768 --1.57642 -0.857516 1.8605 1.5118 -0.206967 -1.57949 1.44223 -1.07561 -0.206967 -1.57949 0.395495 -0.0938438 -1.61202 1.39013 2.74024 -1.603 -1.61202 1.39013 -2.70889 1.38486 -0.0116811 -0.897974 -0.97144 0.686799 -0.0572061 -1.34141 0.84162 -1.09334 --0.357849 1.63361 -1.13028 -1.8822 --0.357849 1.63361 0.813886 2.02837 -1.88888 1.83951 3.92548 -1.78762 -1.88888 1.83951 -3.92179 1.64392 --0.224971 0.655631 0.687617 -0.334512 -0.908401 0.44015 -0.853535 0.175518 -0.908401 0.44015 0.0184899 0.867031 -1.50301 1.05767 -1.93702 1.35615 --1.81637 0.717147 2.40531 -1.37778 -1.94333 1.62334 3.49801 -2.10121 -1.94333 1.62334 -3.47048 1.94774 -0.155761 -1.28857 0.805422 -0.873381 --0.69133 -0.70876 0.78018 0.54669 --1.25648 -1.01787 1.14294 1.55479 -1.4684 -1.43691 2.71035 1.28592 -1.4684 -1.43691 -2.70637 -1.05004 --1.72756 -1.5342 -1.61763 -3.20288 -1.77212 -0.937828 1.96006 2.21164 -1.77212 -0.937828 -1.81952 -2.0041 --1.80217 0.822569 2.3214 -1.58073 --1.80217 0.822569 -2.15602 1.77187 -1.40279 -1.28496 2.37247 1.29192 -1.40279 -1.28496 -2.35105 -1.01789 --1.19645 -1.74413 -0.394602 -3.15481 --1.19645 -1.74413 0.313203 2.94549 --1.85761 1.53999 1.92139 -3.14298 -0.814101 -1.24825 -1.92331 0.027527 -1.36352 -0.697647 1.34454 1.58734 -1.6625 0.255682 0.647549 -2.18804 -1.92001 1.01177 -2.0635 2.2951 --1.38841 1.76331 -0.739921 3.37728 --1.38841 1.76331 0.693155 -3.18361 -0.0389766 1.16753 0.653693 -0.117843 --1.70798 -0.79301 -0.17966 0.213158 -0.875963 1.61244 -2.56788 -0.209641 --0.345467 -0.109764 0.724455 0.0892686 --1.90331 -1.58506 -1.95497 -3.44356 --1.90331 -1.58506 1.98475 3.28326 --0.67312 1.96476 0.770984 2.9417 --0.67312 1.96476 -0.953866 -2.80089 --1.47568 -1.44897 1.18143 2.60833 -0.498595 1.23735 -1.68744 -0.467194 -0.498595 1.23735 1.33415 0.0185774 -0.650488 1.91523 0.194187 0.150625 --1.77818 1.54678 1.73989 -3.08894 --1.91479 -0.237097 -2.49568 -0.533004 -1.97021 1.82935 3.97917 -1.97871 -1.97021 1.82935 -3.96905 1.8408 -1.39675 -1.40055 2.57929 1.18319 -1.39675 -1.40055 -2.58143 -0.929138 -1.73212 1.04364 2.14539 -2.07688 -1.73212 1.04364 -2.03143 1.85892 -0.839701 1.95778 2.98392 0.463268 --1.75445 -1.86379 1.39008 3.77218 -0.827377 -1.67749 -2.63352 0.353091 -0.827377 -1.67749 2.46257 -0.124438 --0.977326 1.68582 -0.0678025 -2.60113 -0.667767 -1.72878 -2.5586 0.668858 -0.120942 0.0171433 0.267793 -0.418796 --1.04283 -1.00184 -0.718154 -1.79026 --1.04283 -1.00184 0.774785 1.29739 --0.295308 -0.740447 0.675114 0.350328 -1.63404 0.286599 0.702951 -2.13558 -1.63404 0.286599 -0.362161 2.02204 --0.564431 1.45103 0.316775 2.03466 -1.99845 -1.60549 3.50441 2.23743 -1.99845 -1.60549 -3.47182 -2.08879 -1.31124 -0.472943 0.97472 1.57485 --0.407679 -0.415429 -0.25103 -0.876182 --0.229417 1.90152 -1.63825 -2.15696 -1.77003 -1.96845 4.09181 1.39759 -1.77003 -1.96845 -4.10696 -1.25584 -1.41579 0.880349 1.67181 -1.58846 -1.95377 0.556536 -1.05948 2.58538 -1.17453 -0.726118 1.30633 1.28392 -1.98711 0.81522 -0.15529 0.152602 --0.264218 1.53328 -1.17197 -1.63574 --0.264218 1.53328 0.799368 1.7739 -1.61769 0.206104 0.558065 -2.10651 --1.75718 1.36926 -1.79526 2.88045 --1.75718 1.36926 1.8452 -2.68529 -0.101508 1.56629 -1.69575 -1.28337 -0.101508 1.56629 1.28524 1.24721 --1.30004 0.521697 1.58787 -0.770676 --1.10756 1.35892 -0.582912 2.39953 --0.817924 -1.65374 -0.344883 2.37696 --1.33392 -0.949251 1.34499 1.49946 -1.46388 1.39202 2.62137 -1.31605 -1.46388 1.39202 -2.61053 1.07226 --1.77179 -0.504734 -2.16322 -1.10277 -1.90349 -0.344251 -0.580097 -2.55418 -1.93594 -0.707138 1.56793 2.6334 --0.176207 0.741732 0.0599903 1.00645 --0.176207 0.741732 -0.738764 -0.678471 --1.93687 1.4532 2.17058 -3.01565 --1.42483 -1.92989 -0.647712 -3.74322 --1.42483 -1.92989 0.596344 3.57682 -1.49163 -1.8697 3.58968 0.909876 -1.49163 -1.8697 -3.62843 -0.739819 -1.36514 -0.087481 -0.48894 -0.0468836 --0.245581 1.52942 0.378543 -0.131978 -1.54194 -1.20094 2.32371 1.61242 -1.54194 -1.20094 -2.2619 -1.35788 -1.81964 -0.457982 1.04373 2.46513 -1.81964 -0.457982 -0.791547 -2.33353 --1.96729 1.3364 -2.2645 2.94329 --1.96729 1.3364 2.3299 -2.77925 --1.42665 -0.0334176 -1.36594 -0.0911653 -1.66643 -1.28366 2.57259 1.79172 -1.66643 -1.28366 -2.51608 -1.57276 --1.84088 -0.715658 2.4549 1.38683 --1.84088 -0.715658 -2.26796 -1.55953 --0.172201 -1.69992 -1.48392 1.78156 --0.172201 -1.69992 1.15464 -1.85468 -1.60073 -0.63358 1.31939 2.01464 -0.00333704 -0.734314 -0.857111 0.574694 -1.87478 -1.23128 2.6107 2.24887 -1.87478 -1.23128 -2.53207 -2.06586 --1.26829 -1.80504 -0.468145 -3.34038 -0.92365 -0.492849 -0.0128797 -0.831106 --1.76536 -1.08275 -1.97546 -2.29372 --1.76536 -1.08275 2.08147 2.08726 -0.415247 -1.29294 1.24924 -0.217902 --0.775384 1.33378 -0.138778 -1.71951 --1.00064 -1.02506 -0.642441 -1.80155 --1.00064 -1.02506 0.667401 1.28488 -1.26894 0.563359 -0.684492 1.06615 --1.28106 1.35164 -0.887322 2.51853 --1.28106 1.35164 0.873932 -2.22736 -1.83102 -0.992326 -1.97183 -2.10597 --0.111368 1.22569 -1.09832 -1.09531 --0.111368 1.22569 0.543029 1.25867 -1.43442 -0.632329 -0.971945 -1.41653 -1.17705 -1.49301 -2.60274 -0.431503 -1.17705 -1.49301 2.53898 0.697651 -0.952626 1.48779 -2.41845 0.0284303 -0.952626 1.48779 2.28953 -0.316958 --1.13318 0.656876 1.2612 -0.865101 --1.04376 0.801417 1.01162 -0.98607 --1.13568 -1.649 0.287033 2.68909 --1.63696 1.27652 -1.6094 2.61522 --1.63696 1.27652 1.66726 -2.39062 -0.770623 -1.5233 0.196003 -0.279758 -1.42343 -1.98217 -3.79918 -0.486959 -1.42343 -1.98217 3.74573 0.645826 --0.13981 -1.62178 -1.44265 1.6329 --0.13981 -1.62178 1.07964 -1.70526 -1.54229 -0.422461 -0.587831 -1.7729 --1.77059 1.06487 -1.99474 2.25946 --1.77059 1.06487 2.10476 -2.05396 -1.22566 -1.14065 1.98111 1.10019 -1.00679 -1.89506 -3.20125 0.250968 -1.00679 -1.89506 3.08068 -0.070707 --1.99413 1.69552 -2.07106 3.75871 --1.99413 1.69552 2.0947 -3.61464 -1.66867 1.50868 -3.0048 1.42168 --1.13732 -1.60134 -0.42538 -2.84062 --1.13732 -1.60134 0.33841 2.59412 -1.52927 1.26928 2.44271 -1.53819 -1.52927 1.26928 -2.39813 1.28929 -1.20155 0.736559 1.33445 -1.31887 -1.72847 0.486668 1.08203 -2.28585 -1.72847 0.486668 -0.813527 2.12749 --0.873432 -1.74179 0.169134 -2.81251 --0.873432 -1.74179 -0.328776 2.60275 --0.514995 -1.72519 0.711433 -2.36164 --0.514995 -1.72519 -0.966926 2.19663 --0.392847 -0.0566723 0.760378 0.0456464 --1.55624 0.142005 -1.69849 0.329607 --0.803287 1.90535 0.477376 3.00584 -1.97374 -0.218782 0.579658 2.7941 -1.97374 -0.218782 -0.333377 -2.74026 -0.85011 1.90265 2.89559 0.371832 -0.955573 -1.43266 -2.32542 -0.0763531 -0.955573 -1.43266 2.20167 0.383559 --1.71764 -0.423642 2.33638 0.774161 --1.71764 -0.423642 -2.05709 -0.927346 --1.99711 -1.478 2.28603 3.12014 -0.284719 -0.378829 0.159505 -0.716766 --1.82061 1.72666 -1.66255 3.68613 --1.82061 1.72666 1.67118 -3.52739 --0.757153 -0.13788 1.0613 0.130169 -1.8143 -0.49301 1.11072 2.4484 -1.8143 -0.49301 -0.864296 -2.30766 -0.425181 -1.70513 1.96773 -0.86002 -0.626393 1.2958 -1.86347 -0.339237 -0.829681 -1.95028 -3.11064 0.63338 -0.829681 -1.95028 2.9568 -0.47197 --1.37498 0.347101 -0.407034 -0.261206 -1.15408 -0.978856 1.67143 1.10634 -1.15408 -0.978856 -1.62253 -0.679981 --1.21915 -0.401721 -1.1138 -0.920041 --0.465986 0.74805 0.685971 -0.413836 --1.11845 0.27471 -0.500968 -0.411472 --1.71488 -1.65688 -1.49472 -3.44965 --1.71488 -1.65688 1.50109 3.27365 --1.21685 -1.87385 -0.299879 -3.41781 --0.983134 -1.76587 0.00901956 -2.97319 --0.983134 -1.76587 -0.139744 2.76539 --1.59101 1.36371 -1.46183 2.75872 --1.52477 0.207029 -1.63915 0.478596 -1.72652 1.80111 0.00693937 0.160281 -1.32884 0.647734 -0.947792 1.1601 --1.52509 -0.274769 -1.65098 -0.622596 --1.44817 -1.41635 1.15441 2.51545 --1.96832 1.68307 -2.02308 3.71036 --1.96832 1.68307 2.04643 -3.56306 -1.10703 -1.23454 -2.07573 -0.475984 -1.60716 1.2421 2.44869 -1.7066 --0.112542 1.45563 -1.30511 -1.37884 --0.112542 1.45563 0.863587 1.47049 --1.28626 -1.88012 -0.425912 -3.50236 --1.28626 -1.88012 0.355611 3.32236 --1.68412 -1.0518 -1.82543 -2.19227 --1.68412 -1.0518 1.93733 1.9663 -1.90232 -1.29215 2.75609 2.26573 -1.16595 -0.866517 -1.40614 -0.732088 -1.11993 0.787216 -1.24306 0.646371 --0.0720934 1.33121 0.719631 1.28997 --1.55492 0.46495 2.02965 -0.791154 -1.84748 -0.972061 2.06583 2.34392 -1.595 1.69868 3.34428 -1.29552 -1.595 1.69868 -3.3561 1.11213 -1.07125 0.511933 -0.182448 0.858604 -1.07125 0.511933 -0.786628 0.364291 --1.33268 -0.78458 -0.203086 0.347933 -1.77448 0.756168 -1.41938 2.10083 --1.66192 0.398716 -1.94178 0.872793 -0.720695 -1.83039 2.59415 -0.511498 -1.91521 1.53135 3.27487 -2.11558 -1.91521 1.53135 -3.23859 1.95329 --1.2367 0.46155 1.52331 -0.650674 --1.2367 0.46155 -1.14928 1.01236 -0.630555 -1.39196 1.7391 -0.0726866 -1.39162 -0.56851 -0.345357 -0.317407 -0.277242 1.73334 -2.12559 -1.25952 --1.9741 -1.49297 -2.17716 -3.29222 --1.9741 -1.49297 2.22186 3.13528 --1.45765 0.521776 -0.304752 -0.26418 -1.674 -0.940201 -1.77338 -1.78697 --1.81714 1.8346 1.56045 -3.76786 --1.23154 -0.36855 -0.428075 0.349408 --1.36013 -1.3971 -0.997017 -2.65916 --1.33273 1.89566 0.43673 -3.40501 --1.62123 -1.94072 -1.04172 -3.96248 --1.62123 -1.94072 1.01388 3.80836 -0.0265873 -0.517358 0.666715 0.360033 --1.18112 1.97842 0.0285458 -3.41169 --1.81085 -1.8926 -1.49546 -4.03924 --1.81085 -1.8926 1.48913 3.89349 -1.26998 -1.13738 -1.9797 -0.837097 -0.0779595 -0.848699 0.243863 -0.893244 --0.912887 -1.25621 -0.355885 -2.08467 --1.9397 1.50353 -2.09399 3.29144 --1.9397 1.50353 2.13568 -3.13076 -1.00814 -1.77951 2.86749 0.0732137 -1.39683 -0.26522 -0.203875 -1.58917 -1.80745 0.699611 1.51011 -2.38015 -1.80745 0.699611 -1.31065 2.20047 -0.536738 1.73225 -2.42378 -0.879094 -0.536738 1.73225 2.17102 0.702673 -1.05053 1.39972 -2.33727 0.267395 -1.05053 1.39972 2.24888 -0.575439 --1.67125 1.05823 1.90671 -1.97001 --1.26967 -1.95143 0.243216 3.45389 -1.12424 -1.49963 -2.57449 -0.327408 -1.12424 -1.49963 2.49625 0.59767 -0.864929 1.59005 -2.51981 -0.208362 -0.864929 1.59005 2.3586 -0.0487402 -1.5482 -0.928029 -1.68235 -1.51943 -0.533627 -1.68358 -2.34613 0.831104 --1.94841 -0.810744 2.62697 1.63502 --1.94841 -0.810744 -2.4698 -1.79383 --0.236314 -0.141326 0.641524 0.126856 --0.236314 -0.141326 -0.412261 0.489682 --0.607883 -0.921425 -0.198319 -1.43242 -1.84193 1.23849 -2.5278 1.98771 --0.689462 -1.5278 0.224414 -2.27717 --0.689462 -1.5278 -0.46518 2.01805 -1.8533 0.801944 1.72844 -2.43271 -1.8533 0.801944 -1.55898 2.25303 --0.908451 1.95431 0.354362 3.21779 --0.908451 1.95431 -0.493839 -3.05391 -1.23265 -1.92792 -3.49613 -0.151107 -1.23265 -1.92792 3.41651 0.324219 -1.269 -1.38416 -2.46062 -0.686759 -1.61623 -0.32313 0.767615 2.10168 -1.59541 1.82646 3.60863 -1.16962 -1.59541 1.82646 -3.63155 1.00147 -0.896036 -1.42351 -2.26465 0.0179364 -0.896036 -1.42351 2.1199 0.297384 -0.247728 1.79937 -2.18108 -1.38274 -0.247728 1.79937 1.88474 1.30257 --1.79562 -1.56779 1.75979 3.15057 --1.90426 0.695547 2.59225 -1.37625 --1.90426 0.695547 -2.40792 1.53303 --1.16095 -1.09033 -0.854019 -1.99443 -0.066764 -1.76228 1.57257 -1.55979 --1.14279 -1.92815 -0.101918 -3.44001 --1.14279 -1.92815 0.00565393 3.26532 -1.25874 -1.98589 0.0767808 -0.163422 --0.532203 1.99724 1.04596 2.80623 --0.532203 1.99724 -1.24797 -2.69075 -1.18434 -1.71267 -3.02803 -0.262253 -1.18434 -1.71267 2.9476 0.477136 --0.00984252 -0.623992 0.0906083 -0.858626 -1.24235 -1.90896 -3.46806 -0.189488 -1.24235 -1.90896 3.39054 0.365462 --1.0336 -1.99943 0.182084 -3.44783 --1.0336 -1.99943 -0.296839 3.28707 --1.88467 -1.04728 -0.113459 0.181694 --0.175381 1.88875 -1.70644 -2.06925 --0.175381 1.88875 1.4356 2.12243 --0.089446 1.58011 -1.46627 -1.51991 --0.089446 1.58011 1.07831 1.57743 -0.366485 -1.37159 -1.74454 0.749526 --0.314573 -1.0026 0.147912 -1.29474 --0.314573 -1.0026 -0.728071 0.970639 -0.672 1.48266 -2.17588 -0.424877 -0.672 1.48266 1.93603 0.13223 --1.24857 1.4083 -0.786839 2.59467 --1.24857 1.4083 0.75391 -2.31102 -0.231061 1.61126 1.53159 1.07433 -0.199696 -1.15393 0.556733 -0.785937 --1.99034 1.15108 -2.41903 2.55064 --1.99034 1.15108 2.51337 -2.38723 -1.14108 -1.78953 -3.13566 -0.107942 -1.14108 -1.78953 3.04304 0.308773 -0.354622 -1.43919 -1.81881 0.830002 --0.995205 1.65005 -0.13247 2.78717 --0.995205 1.65005 0.00407769 -2.54855 -0.0393993 -0.337655 -0.631355 0.337912 -0.0393993 -0.337655 0.0448897 -0.69167 -0.0393993 -0.337655 0.586466 0.353759 --0.97691 1.10786 -0.557041 1.90975 --0.97691 1.10786 0.511221 -1.41989 -0.134105 1.34256 0.576553 0.0399153 -1.59187 1.80065 3.55136 -1.18846 -1.59187 1.80065 -3.57267 1.01701 --0.748905 1.99869 0.686886 3.09692 --0.748905 1.99869 -0.852424 -2.95375 --0.270518 -1.04315 0.220246 -1.28957 --0.270518 -1.04315 -0.795773 0.994876 -1.00877 1.42161 -2.34586 0.177345 -1.00877 1.42161 2.24133 -0.483142 -1.57851 1.2742 2.48922 -1.62802 -1.57851 1.2742 -2.43966 1.39024 -1.30179 1.31447 2.34072 -1.08642 -1.30179 1.31447 -2.34606 0.797138 --1.21274 0.657876 -0.273307 -0.399283 -1.60426 -0.575057 1.2156 2.03792 -1.73861 -1.00914 2.08175 2.10886 -1.73861 -1.00914 -1.95908 -1.89209 -1.63992 -0.86723 -1.59621 -1.74986 -0.259017 -1.48455 1.33305 -0.851518 -1.50935 0.742885 -1.25838 1.52552 --0.882444 -1.88936 -0.471123 2.89792 -1.37572 -0.866668 -1.46973 -1.17488 --1.39854 -1.20011 1.24894 2.03266 -1.79702 -1.08636 2.26735 2.18037 -0.285977 -1.14347 0.908381 0.0292039 --1.47694 0.744818 -1.53865 1.5263 --1.47694 0.744818 1.751 -1.24104 --1.11973 1.65362 -0.344739 2.91625 --1.11973 1.65362 0.250021 -2.68225 -1.59207 -1.58049 -3.10075 -1.20197 -1.17364 1.99163 -3.5616 -0.0317511 -1.17364 1.99163 3.47146 -0.131898 -1.86741 0.967413 2.06651 -2.38643 -1.86741 0.967413 -1.9356 2.20059 -0.101196 -0.159703 -0.545496 0.187138 -0.101196 -0.159703 0.437826 0.372749 -0.101196 -0.159703 0.10767 -0.559887 -1.85889 0.930275 1.98747 -2.38747 -0.927408 0.522392 -0.912632 0.232644 --0.683687 1.51886 0.223282 2.25798 --0.464706 0.17512 0.815776 -0.137125 --0.464706 0.17512 -0.36233 0.723918 --1.06166 0.555912 -0.890158 1.15234 --1.06166 0.555912 1.23592 -0.683196 -0.160507 -0.913866 -1.09558 0.584623 --1.33535 0.223218 1.74745 -0.333489 --1.2238 1.203 0.902223 -1.87585 -1.00052 0.775668 -1.2316 0.425983 -1.91722 -0.420612 0.985142 2.66371 --1.45155 0.328704 -1.51063 0.744059 -1.09092 1.01489 1.68036 -0.985176 -1.09092 1.01489 -1.66853 0.549923 --0.0946218 -0.861943 -0.863614 0.726847 -1.95829 -1.16206 2.51835 2.46673 -1.95829 -1.16206 -2.42601 -2.29685 -1.24258 -1.21338 -0.00287843 -0.327018 --0.800293 0.862698 0.672567 -0.743833 --0.962351 -1.86608 0.156244 -3.1252 --0.962351 -1.86608 -0.288916 2.94093 -1.56646 1.20242 -2.27972 1.40896 --1.22408 -0.398415 1.53257 0.555186 -1.39344 -0.186217 -0.0670539 -1.62609 -1.61019 -1.46071 2.87821 1.54127 -1.61019 -1.46071 -2.85852 -1.33102 -0.250595 -1.6417 1.61244 -1.08056 --0.803678 1.02459 -0.368187 1.68187 --0.803678 1.02459 0.0646009 -0.920905 --0.803678 1.02459 0.303586 -0.76096 -0.187725 1.79264 -2.09489 -1.45734 --0.911484 -1.5572 -0.0865587 -2.5501 --0.911484 -1.5572 -0.0688904 2.28223 --1.57907 -1.13213 -1.57842 -2.29808 --1.57907 -1.13213 1.66534 2.04885 -0.0674206 1.11908 -1.19391 -0.83338 -0.91819 -1.22875 -1.95602 -0.151335 -0.91819 -1.22875 1.84421 0.542395 --1.41076 -0.893586 1.52866 1.46088 --0.207633 -1.92508 1.44377 -2.2249 --0.872949 1.2064 0.172097 -1.52715 --1.33735 -1.52853 -0.85156 -2.88451 -0.315207 1.3586 1.15179 0.538027 -1.34391 -0.644698 -0.948669 -1.19856 --1.66661 -1.55336 -1.47684 -3.19611 --1.66661 -1.55336 1.49092 3.00366 -0.399029 -0.918009 -1.25372 0.368177 -1.70288 -1.19058 2.41501 1.92849 --0.822368 -1.22627 0.0420915 1.52957 --0.967453 -1.22054 0.365479 1.65013 --0.486126 0.401949 -0.31587 0.890681 -0.761669 1.79675 -2.76968 -0.584697 -0.761669 1.79675 2.58826 0.393827 --1.55973 -0.0896123 2.12444 0.151384 --1.77433 0.162983 -0.313479 -0.0617443 -1.82762 -0.108353 0.362026 2.49656 -1.82762 -0.108353 -0.0694013 -2.46336 -1.30172 -0.470784 -0.505466 -1.2477 -1.30172 -0.470784 -0.463898 -0.31307 --1.4027 0.414764 -1.43005 0.914758 --1.23923 -1.12365 1.00934 1.73665 -0.682469 -1.66008 2.24465 -0.351957 --1.49409 0.89649 -0.155747 -0.284243 --0.390357 1.68878 0.842813 2.14719 --0.390357 1.68878 -1.13596 -2.00415 -1.2377 -1.99871 -3.64298 -0.0884438 -1.2377 -1.99871 3.56278 0.250295 -1.7785 1.55698 3.21681 -1.80367 -1.7785 1.55698 -3.19357 1.62635 -0.401534 -1.15149 -1.50872 0.520278 -0.249754 -1.50656 1.36312 -0.899302 -0.726094 1.80105 0.190189 0.186359 -0.217347 -1.16614 -1.37452 0.733128 -0.217347 -1.16614 0.804285 0.0221933 -0.0344025 1.74376 -1.82754 -1.5946 -0.0344025 1.74376 1.49827 1.58833 --0.00543186 -1.39308 0.874347 -1.24254 -1.2748 -1.25077 -0.00209371 -0.309954 --0.941907 0.867023 0.79988 -0.952726 -1.14505 0.128592 -0.614134 0.0702958 -1.66686 1.42884 2.8614 -1.68071 -1.66686 1.42884 -2.83052 1.47577 -1.44727 -1.2176 2.28491 1.42544 -1.44727 -1.2176 -2.24028 -1.15016 -0.130151 1.44752 1.10364 1.05772 --1.34615 1.02803 -1.20023 1.98697 --1.34615 1.02803 1.29958 -1.65471 -0.476578 -1.9285 -2.65976 1.20182 -0.206296 -1.02773 0.827317 0.1728 --1.48059 -0.213209 -1.54514 -0.501199 -1.8051 0.394467 0.918602 -2.44631 -1.8051 0.394467 -0.651123 2.32788 --1.96671 1.60886 -2.07683 3.54376 --1.96671 1.60886 2.10775 -3.39198 --1.33649 -1.65413 -0.741198 -3.11944 --1.33649 -1.65413 0.694562 2.90213 --1.09855 1.64505 -0.315711 2.88065 --1.09855 1.64505 0.215933 -2.64341 -1.17203 -1.00745 -1.68354 -0.70447 -0.0298145 -1.99544 -2.15696 1.95663 -0.0298145 -1.99544 1.90576 -1.95111 --1.44848 -0.943674 -1.42127 -1.88155 --1.44848 -0.943674 1.55941 1.58179 -0.828059 1.55134 2.24814 -0.0340531 --0.952207 1.57892 -0.131462 2.62553 --1.14618 -0.555188 -1.01129 -1.15737 --1.14618 -0.555188 1.34685 0.734013 --1.08704 -1.29284 0.539852 1.91993 --1.8991 0.52063 -2.43289 1.15495 -0.178065 -1.29957 0.638151 -0.0692168 -1.41893 0.555223 1.13159 -1.72545 --0.369941 0.480927 -0.54091 -0.601841 -1.34754 -0.764369 1.44556 1.53282 -1.17889 0.754729 1.35043 -1.27653 -1.35732 -0.23427 0.611756 1.67037 --1.71593 -1.79389 -1.37979 -3.74011 --1.71593 -1.79389 1.37274 3.57776 --0.571463 1.31255 0.163616 1.86185 --0.571463 1.31255 -0.508417 -1.53847 -1.77271 -0.108597 0.367048 2.38949 -1.77271 -0.108597 -0.0570692 -2.35353 --0.212081 -1.28674 -1.02516 1.25004 --0.212081 -1.28674 0.533863 -1.4378 -1.86754 0.672975 1.47727 -2.50697 -1.86754 0.672975 -1.27971 2.3452 --1.96893 0.403161 -2.60241 0.906897 --1.02643 -0.943599 0.820628 1.1769 --1.33031 0.0105751 -1.03878 0.05423 --1.33031 0.0105751 -0.724336 -0.0385145 -1.14313 1.11996 -1.88383 0.602587 --1.71857 -1.28505 -1.76897 -2.68246 --1.71857 -1.28505 1.83127 2.47468 -1.11842 -1.60027 -2.7572 -0.235111 -1.11842 -1.60027 2.66871 0.4798 -1.39495 1.71469 3.17687 -0.878607 -1.39495 1.71469 -3.21841 0.679003 --0.876224 -1.4834 -0.0680562 2.10362 -1.94823 -0.572563 1.29804 2.69694 -1.94823 -0.572563 -1.09265 -2.56668 --1.95427 -0.126295 2.84914 0.250793 --1.95427 -0.126295 -2.58855 -0.285707 -0.381025 -1.50777 1.55453 -0.654466 -1.94743 1.33742 2.88301 -2.33004 -1.94743 1.33742 -2.81896 2.16248 -0.670617 -1.46087 1.89965 -0.105162 --1.21415 1.14834 0.936916 -1.75969 -1.50212 -0.717021 1.43177 1.81169 -1.50212 -0.717021 -1.19753 -1.52254 --1.71534 1.96671 -1.21734 4.11009 --1.71534 1.96671 1.19741 -3.96445 -1.64271 0.710551 -1.25456 1.83447 --0.0816178 0.563694 0.678484 -0.334004 --1.57378 0.727649 -0.210661 -0.248831 --1.44176 0.384165 1.86896 -0.614162 --1.44176 0.384165 -1.49987 0.852896 --1.12616 -0.123464 1.47214 0.159275 --1.12616 -0.123464 -0.853761 -0.573087 --1.43007 -1.97658 0.557204 3.68307 -1.18949 -0.672099 -0.974946 -0.787573 --0.0658272 0.159079 -0.0710164 0.554199 -0.0594726 -1.11343 0.69034 0.141909 -1.74698 -1.37061 -2.75902 -1.691 --1.38326 0.264243 1.81128 -0.406877 --0.856222 1.54107 -0.161374 -2.19765 --0.119404 1.90842 -1.81708 -2.02781 --0.272967 1.23092 0.494962 -0.233569 -0.554329 1.00465 -1.4352 -0.24523 -0.554329 1.00465 1.19117 -0.34199 -1.16704 -1.83912 -3.25631 -0.110204 --0.628161 1.09599 -0.319282 -1.17693 --1.18506 -1.27817 -0.773392 -2.32178 --1.18506 -1.27817 0.751822 1.98725 --0.0645954 -0.929517 0.253689 -1.03249 -1.28997 -0.919059 -1.54844 -0.972215 --0.943487 -1.47156 0.0765205 2.14334 --1.75449 0.287418 2.44107 -0.531233 --1.75449 0.287418 -2.14089 0.637923 -1.78676 -0.697596 -1.29646 -2.15597 --0.74503 1.13493 -0.0832647 -1.27415 -1.29827 -0.222836 -0.0743801 -1.45182 --1.8004 1.61458 -1.7098 3.42851 -1.91349 -1.42887 3.05359 2.19144 -1.91349 -1.42887 -3.00414 -2.02313 -0.656316 -0.177492 0.5267 0.836583 -0.656316 -0.177492 0.258083 -0.837491 -0.228362 1.78443 1.83191 1.31534 --1.10629 -0.683034 -0.934416 -1.34071 -0.698657 -1.96561 -2.98747 0.880018 -0.698657 -1.96561 2.80915 -0.733636 --1.40556 -1.92612 0.559016 3.54804 -0.146769 -1.32546 0.597088 -0.0464649 --1.72281 -1.05996 -1.89952 -2.22689 --1.72281 -1.05996 2.01011 2.01042 -0.163877 0.20021 0.474005 -0.433016 -0.163877 0.20021 -0.616119 -0.178849 -0.163877 0.20021 0.142114 0.611865 --0.77547 1.63746 0.212723 2.53621 --0.77547 1.63746 -0.409115 -2.30385 -1.98012 0.994371 2.17837 -2.60478 -1.98012 0.994371 -2.05634 2.44073 --1.11627 0.784776 1.1311 -1.03313 --0.020328 -1.15148 0.50667 -1.09411 -0.929511 1.56228 -2.52853 -0.0732431 -0.929511 1.56228 2.3886 -0.192005 --0.322114 -0.865038 0.0358312 -1.18764 --1.48331 1.11402 -1.40555 2.21283 -1.84265 0.745761 -1.42915 2.25637 --1.61584 -1.40149 -1.48534 -2.85089 --1.61584 -1.40149 1.5173 2.63437 --0.424989 -1.85227 1.01411 -2.43161 --0.424989 -1.85227 -1.26062 2.31223 --1.14633 0.92004 -0.91698 1.71485 -1.49841 0.458291 -0.635284 1.66245 --0.47518 -1.38384 0.358196 -1.85037 --0.47518 -1.38384 -0.7191 1.59043 --0.984615 -0.674456 -0.765321 -1.3004 --0.132796 -1.76232 -1.61479 1.82675 --0.132796 -1.76232 1.30206 -1.87906 --1.82285 -1.59701 -1.77152 -3.40829 --1.82285 -1.59701 1.79425 3.23944 --1.30632 -1.21734 -1.02389 -2.29784 -0.44236 1.40477 1.47122 0.382828 -1.82985 1.37988 2.88785 -2.05175 -1.82985 1.37988 -0.0518375 0.183304 --0.251085 1.43077 -1.09443 -1.47644 --0.251085 1.43077 0.677803 1.63636 --0.0726996 1.63188 -1.54708 -1.57151 --0.0726996 1.63188 1.17926 1.61514 --1.99631 -1.42564 -2.27179 -3.15823 --1.99631 -1.42564 2.32595 3.00125 --1.29197 -0.404824 -1.23282 -0.912466 -1.40977 -0.811964 1.55329 1.613 -1.40977 -0.811964 -1.36435 -1.2725 -1.01 -1.2546 -2.05448 -0.291493 -1.9602 1.07607 -2.23139 2.35075 --0.352323 0.794023 -0.0348699 1.15016 --1.03371 1.31494 0.409323 -1.91231 -1.4462 0.372389 0.837139 -1.8055 --1.70877 -0.739471 2.18332 1.36596 --1.70877 -0.739471 -1.98893 -1.57439 --1.38407 1.11203 1.29828 -1.84755 -1.47719 0.677009 1.35367 -1.78397 -0.743445 -1.35477 -2.03864 0.211006 --1.43392 1.5599 0.990193 -2.80063 --1.72339 -1.82094 -1.37147 -3.80444 --1.72339 -1.82094 1.36285 3.64537 --1.73186 -1.73855 1.4616 3.47013 -1.24485 -1.70429 -3.06577 -0.387371 -1.24485 -1.70429 2.99815 0.600257 -1.03447 -1.50881 -2.52075 -0.156186 -1.03447 -1.50881 2.4162 0.432147 -1.22549 -1.58814 -2.82309 -0.448754 -1.22549 -1.58814 2.76074 0.687404 --1.31205 1.17027 -1.063 2.21845 -1.23761 -0.712067 1.31415 1.38418 --1.03478 -0.974778 -0.720336 -1.74551 --0.830554 -1.70575 0.199844 -2.70577 --0.830554 -1.70575 -0.373644 2.48901 --0.857498 1.52682 -0.0308456 2.44852 -0.233591 1.416 -1.66674 -0.955816 -0.233591 1.416 1.1588 0.812406 --0.933836 0.791797 0.884041 -0.854242 --1.11238 1.84617 -0.134958 3.25519 --1.11238 1.84617 0.0333799 -3.06473 --1.10951 1.10609 0.778443 -1.57029 -0.654174 0.829236 0.148693 0.639348 -1.36371 1.56881 2.86396 -0.965011 -0.894431 1.50856 0.149906 0.284336 --1.54313 -0.641412 1.92832 1.09574 --1.54313 -0.641412 -1.68406 -1.34574 --1.55534 1.96012 0.847904 -3.78185 --1.53983 0.16397 -0.418086 -0.106781 --1.36336 -0.172296 1.79914 0.261654 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0.0485987 -0.104305 0.155135 -0.329985 0.356017 0.110693 -0.324388 0.312518 0.0771192 0.0290221 0.333086 -0.299492 0.455666 -0.226486 0.291844 -0.0404384 -0.267755 -0.230336 0.241891 -0.455666 0.244842 -0.230336 0.241891 -0.226486 -0.291844 -0.0404384 0.267755 -0.244842 0.299492 -0.0404384 0.267755 -0.230336 -0.241891 -0.226486 0.291844 -0.324339 0.44884 0.0768017 0.373735 0.27105 -0.00993351 0.0527367 -0.314682 -0.44884 0.226821 0.0527367 -0.314682 0.0768017 -0.373735 0.27105 0.00993351 -0.413966 0.342491 0.36377 0.0972135 -0.316 0.031025 -0.270398 0.101471 -0.342491 0.243544 -0.270398 0.101471 0.36377 -0.0972135 -0.316 -0.031025 -0.29889 0.478882 0.341291 -0.163258 -0.211539 -0.147217 -0.161136 -0.283648 -- cgit v1.2.3 From fede2d266f2bc84f2c006240cc0a82a68c9069be Mon Sep 17 00:00:00 2001 From: skachano Date: Tue, 18 Oct 2016 12:21:53 +0000 Subject: Changed Active_witness includes git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1729 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 59d4ef32b8544ab16b61f367e17f641bb03fc33f --- src/Witness_complex/include/gudhi/Strong_witness_complex.h | 2 +- src/Witness_complex/include/gudhi/Witness_complex.h | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index aa313c40..73de580d 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -28,7 +28,7 @@ #include #include -#include "Active_witness/Active_witness.h" +#include #include namespace gss = Gudhi::spatial_searching; diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 6a944c43..e336dc4f 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -23,7 +23,7 @@ #ifndef WITNESS_COMPLEX_H_ #define WITNESS_COMPLEX_H_ -#include "Active_witness/Active_witness.h" +#include #include #include -- cgit v1.2.3 From 84902ba3525a53f11bfcab8e10d3790900223681 Mon Sep 17 00:00:00 2001 From: skachano Date: Tue, 18 Oct 2016 12:26:30 +0000 Subject: Added a proper include for Active_witness git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1730 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: a3b8b8cf7d95a4abfee3dc5b4aa9272d54d85d4c --- src/Witness_complex/include/gudhi/Active_witness/Active_witness.h | 2 +- .../include/gudhi/Active_witness/Active_witness_iterator.h | 1 - 2 files changed, 1 insertion(+), 2 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h index 2ca76767..c6113442 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h @@ -23,7 +23,7 @@ #ifndef ACTIVE_WITNESS_H_ #define ACTIVE_WITNESS_H_ -#include "Active_witness_iterator.h" +#include #include #include diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h index 38c7adb2..25897de6 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h @@ -23,7 +23,6 @@ #ifndef ACTIVE_WITNESS_ITERATOR_H_ #define ACTIVE_WITNESS_ITERATOR_H_ -//#include "Active_witness.h" #include #include -- cgit v1.2.3 From 4473c9fd8d23097ed7b5570b800db245539e91d2 Mon Sep 17 00:00:00 2001 From: skachano Date: Tue, 18 Oct 2016 12:32:40 +0000 Subject: Removed Sophia Antipolis from copyrights git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1731 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: f97758e943397259712ad76c4db117df3d3415b6 --- src/Witness_complex/example/example_strong_witness_persistence.cpp | 2 +- src/Witness_complex/example/example_witness_complex_off.cpp | 2 +- src/Witness_complex/example/example_witness_complex_persistence.cpp | 2 +- src/Witness_complex/example/example_witness_complex_sphere.cpp | 2 +- src/Witness_complex/include/gudhi/Active_witness/Active_witness.h | 2 +- .../include/gudhi/Active_witness/Active_witness_iterator.h | 2 +- src/Witness_complex/include/gudhi/Strong_witness_complex.h | 2 +- src/Witness_complex/include/gudhi/Witness_complex.h | 2 +- src/Witness_complex/test/test_simple_witness_complex.cpp | 2 +- 9 files changed, 9 insertions(+), 9 deletions(-) diff --git a/src/Witness_complex/example/example_strong_witness_persistence.cpp b/src/Witness_complex/example/example_strong_witness_persistence.cpp index 4e06867d..f43cba52 100644 --- a/src/Witness_complex/example/example_strong_witness_persistence.cpp +++ b/src/Witness_complex/example/example_strong_witness_persistence.cpp @@ -4,7 +4,7 @@ * * Author(s): Siargey Kachanovich * - * Copyright (C) 2016 INRIA Sophia Antipolis-Méditerranée (France) + * Copyright (C) 2016 INRIA (France) * * This program is free software: you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by diff --git a/src/Witness_complex/example/example_witness_complex_off.cpp b/src/Witness_complex/example/example_witness_complex_off.cpp index 37646faf..94088370 100644 --- a/src/Witness_complex/example/example_witness_complex_off.cpp +++ b/src/Witness_complex/example/example_witness_complex_off.cpp @@ -4,7 +4,7 @@ * * Author(s): Siargey Kachanovich * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) + * Copyright (C) 2015 INRIA (France) * * This program is free software: you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by diff --git a/src/Witness_complex/example/example_witness_complex_persistence.cpp b/src/Witness_complex/example/example_witness_complex_persistence.cpp index a4388047..b1b415fa 100644 --- a/src/Witness_complex/example/example_witness_complex_persistence.cpp +++ b/src/Witness_complex/example/example_witness_complex_persistence.cpp @@ -4,7 +4,7 @@ * * Author(s): Siargey Kachanovich * - * Copyright (C) 2016 INRIA Sophia Antipolis-Méditerranée (France) + * Copyright (C) 2016 INRIA (France) * * This program is free software: you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by diff --git a/src/Witness_complex/example/example_witness_complex_sphere.cpp b/src/Witness_complex/example/example_witness_complex_sphere.cpp index 8e2c5ff6..d21195fa 100644 --- a/src/Witness_complex/example/example_witness_complex_sphere.cpp +++ b/src/Witness_complex/example/example_witness_complex_sphere.cpp @@ -4,7 +4,7 @@ * * Author(s): Siargey Kachanovich * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) + * Copyright (C) 2015 INRIA (France) * * This program is free software: you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h index c6113442..fce7d3d1 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h @@ -4,7 +4,7 @@ * * Author(s): Siargey Kachanovich * - * Copyright (C) 2016 INRIA Sophia Antipolis-Méditerranée (France) + * Copyright (C) 2016 INRIA (France) * * This program is free software: you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h index 25897de6..ae051bea 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h @@ -4,7 +4,7 @@ * * Author(s): Siargey Kachanovich * - * Copyright (C) 2016 INRIA Sophia Antipolis-Méditerranée (France) + * Copyright (C) 2016 INRIA (France) * * This program is free software: you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index 73de580d..7ef8d3e5 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -4,7 +4,7 @@ * * Author(s): Siargey Kachanovich * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) + * Copyright (C) 2015 INRIA (France) * * This program is free software: you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index e336dc4f..ac0e8f66 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -4,7 +4,7 @@ * * Author(s): Siargey Kachanovich * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) + * Copyright (C) 2015 INRIA (France) * * This program is free software: you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by diff --git a/src/Witness_complex/test/test_simple_witness_complex.cpp b/src/Witness_complex/test/test_simple_witness_complex.cpp index 759ee14d..90b6cfa2 100644 --- a/src/Witness_complex/test/test_simple_witness_complex.cpp +++ b/src/Witness_complex/test/test_simple_witness_complex.cpp @@ -4,7 +4,7 @@ * * Author(s): Siargey Kachanovich * - * Copyright (C) 2016 INRIA Sophia Antipolis-Méditerranée (France) + * Copyright (C) 2016 INRIA (France) * * This program is free software: you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by -- cgit v1.2.3 From 20c9874582833bd4c0cc1f90769bb27341dd299f Mon Sep 17 00:00:00 2001 From: skachano Date: Tue, 18 Oct 2016 12:37:47 +0000 Subject: Modified doc in Witness_complex_doc.h spatial_searching -> witness_complex git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1732 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 46932441f1f7e042f18cbbc7da26984357b3735b --- src/Witness_complex/doc/Witness_complex_doc.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/Witness_complex/doc/Witness_complex_doc.h b/src/Witness_complex/doc/Witness_complex_doc.h index 14cb92ad..e17b0fa6 100644 --- a/src/Witness_complex/doc/Witness_complex_doc.h +++ b/src/Witness_complex/doc/Witness_complex_doc.h @@ -42,7 +42,7 @@ The construction of both of them follow the same scheme: 1. Construct a search tree on landmarks (for that Gudhi::spatial_searching::Kd_tree_search is used internally). - 2. Construct lists of nearest landmarks for each witness (special internal structure Gudhi::spatial_searching::Active_witness is used internally). + 2. Construct lists of nearest landmarks for each witness (special internal structure Gudhi::witness_complex::Active_witness is used internally). 3. Construct the witness complex for nearest landmark lists. The constructors take on the step 1, while the function 'create_complex' executes the steps 2 and 3. -- cgit v1.2.3 From 1b3a31e1b35aec2c794a27b2c165ee17c0fb1c77 Mon Sep 17 00:00:00 2001 From: skachano Date: Tue, 18 Oct 2016 12:44:56 +0000 Subject: Removed Construct_closest_landmark_table.h git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1733 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 0ba1a92d2a2b0f35bb79f2413042c66a3d62f6af --- .../gudhi/Construct_closest_landmark_table.h | 90 ---------------------- 1 file changed, 90 deletions(-) delete mode 100644 src/Witness_complex/include/gudhi/Construct_closest_landmark_table.h diff --git a/src/Witness_complex/include/gudhi/Construct_closest_landmark_table.h b/src/Witness_complex/include/gudhi/Construct_closest_landmark_table.h deleted file mode 100644 index ef711c34..00000000 --- a/src/Witness_complex/include/gudhi/Construct_closest_landmark_table.h +++ /dev/null @@ -1,90 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#ifndef CONSTRUCT_CLOSEST_LANDMARK_TABLE_H_ -#define CONSTRUCT_CLOSEST_LANDMARK_TABLE_H_ - -#include - -#include // for priority_queue<> -#include // for pair<> -#include -#include -#include - -namespace Gudhi { - -namespace witness_complex { - - /** - * \ingroup witness_complex - * \brief Construct the closest landmark tables for all witnesses. - * \details Output a table 'knn', each line of which represents a witness and - * consists of landmarks sorted by - * euclidean distance from the corresponding witness. - * - * The type WitnessContainer is a random access range and - * the type LandmarkContainer is a range. - * The type KNearestNeighbors can be seen as - * Witness_range>, where - * Witness_range and Closest_landmark_range are random access ranges and - * Vertex_handle is the label type of a vertex in a simplicial complex. - * Closest_landmark_range needs to have push_back operation. - */ - - template - void construct_closest_landmark_table(WitnessContainer const &points, - LandmarkContainer const &landmarks, - KNearestNeighbours &knn) { - int nbP = boost::size(points); - assert(nbP >= boost::size(landmarks)); - - int dim = boost::size(*std::begin(points)); - typedef std::pair dist_i; - typedef bool (*comp)(dist_i, dist_i); - knn = KNearestNeighbours(nbP); - for (int points_i = 0; points_i < nbP; points_i++) { - std::priority_queue, comp> l_heap([](dist_i j1, dist_i j2) { - return j1.first > j2.first; - }); - typename LandmarkContainer::const_iterator landmarks_it; - int landmarks_i = 0; - for (landmarks_it = landmarks.begin(), landmarks_i = 0; landmarks_it != landmarks.end(); - ++landmarks_it, landmarks_i++) { - dist_i dist = std::make_pair(euclidean_distance(points[points_i], *landmarks_it), landmarks_i); - l_heap.push(dist); - } - for (int i = 0; i < dim + 1; i++) { - dist_i dist = l_heap.top(); - knn[points_i].push_back(dist.second); - l_heap.pop(); - } - } - } - -} // namespace witness_complex - -} // namespace Gudhi - -#endif // CONSTRUCT_CLOSEST_LANDMARK_TABLE_H_ -- cgit v1.2.3 From 2fbcf3afe9bf246774ace4ff8b3524b45b2a869b Mon Sep 17 00:00:00 2001 From: skachano Date: Tue, 18 Oct 2016 13:06:24 +0000 Subject: Added Doxygen names for Witness_complex_doc sections git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1734 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: c860505be703779dccad23af24945b6298caf27e --- src/Witness_complex/doc/Witness_complex_doc.h | 6 +++--- src/Witness_complex/test/CMakeLists.txt | 2 +- 2 files changed, 4 insertions(+), 4 deletions(-) diff --git a/src/Witness_complex/doc/Witness_complex_doc.h b/src/Witness_complex/doc/Witness_complex_doc.h index e17b0fa6..4f3671e5 100644 --- a/src/Witness_complex/doc/Witness_complex_doc.h +++ b/src/Witness_complex/doc/Witness_complex_doc.h @@ -8,7 +8,7 @@ \image html "Witness_complex_representation.png" "Witness complex representation" - \section Definitions + \section witnessdefinitions Definitions Witness complex is a simplicial complex defined on two sets of points in \f$\mathbb{R}^D\f$: @@ -34,7 +34,7 @@ which leads to definitions of **weak relaxed witness complex** (or just relaxed witness complex for short) and **strong relaxed witness complex** respectively. - \section Implementation + \section witnessimplementation Implementation The two complexes described above are implemented in the corresponding classes - Gudhi::witness_complex::Witness_complex @@ -47,7 +47,7 @@ The constructors take on the step 1, while the function 'create_complex' executes the steps 2 and 3. - \section Examples + \section witnessexamples Examples Here is an example of constructing a strong witness complex filtration and computing persistence on it: diff --git a/src/Witness_complex/test/CMakeLists.txt b/src/Witness_complex/test/CMakeLists.txt index c616ccdf..8d68ea1f 100644 --- a/src/Witness_complex/test/CMakeLists.txt +++ b/src/Witness_complex/test/CMakeLists.txt @@ -17,4 +17,4 @@ target_link_libraries(Witness_complex_test_simple_witness_complex ${Boost_SYSTEM add_test(NAME simple_witness_complex COMMAND ${CMAKE_CURRENT_BINARY_DIR}/Witness_complex_test_simple_witness_complex # XML format for Jenkins xUnit plugin - --log_format=XML --log_sink=${CMAKE_SOURCE_DIR}/Witness_complex_test_simple_witness_complex.xml --log_level=test_suite --report_level=no) + --log_format=XML --log_sink=${CMAKE_SOURCE_DIR}/Witness_complex_test_simple_witness_complexUT.xml --log_level=test_suite --report_level=no) -- cgit v1.2.3 From fe79f2dcfd8b1540485d8a81fa7cedd07f5c8fac Mon Sep 17 00:00:00 2001 From: skachano Date: Wed, 19 Oct 2016 08:19:49 +0000 Subject: Clément's remarks MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1735 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: c3bc66a081a0bc73874246e1e12ab98c6bf2a53e --- src/Witness_complex/doc/Witness_complex_doc.h | 10 +++++-- .../example/example_strong_witness_persistence.cpp | 28 ++---------------- .../example/example_witness_complex_off.cpp | 28 ++---------------- .../example_witness_complex_persistence.cpp | 28 ++---------------- .../example/example_witness_complex_sphere.cpp | 27 ++--------------- .../include/gudhi/Strong_witness_complex.h | 27 ++++++++--------- .../include/gudhi/Witness_complex.h | 32 +++++++------------- .../test/test_simple_witness_complex.cpp | 34 +++------------------- 8 files changed, 43 insertions(+), 171 deletions(-) diff --git a/src/Witness_complex/doc/Witness_complex_doc.h b/src/Witness_complex/doc/Witness_complex_doc.h index 4f3671e5..2831f107 100644 --- a/src/Witness_complex/doc/Witness_complex_doc.h +++ b/src/Witness_complex/doc/Witness_complex_doc.h @@ -17,7 +17,7 @@ Even though often the set of landmarks \f$L\f$ is a subset of the set of witnesses \f$ W\f$, it is not a requirement for the current implementation. - The simplices are based on landmarks + Landmarks are the vertices of the simplicial complex and witnesses help to decide on which simplices are inserted via a predicate "is witnessed". De Silva and Carlsson in their paper \cite de2004topological differentiate **weak witnessing** and **strong witnessing**: @@ -47,7 +47,13 @@ The constructors take on the step 1, while the function 'create_complex' executes the steps 2 and 3. - \section witnessexamples Examples + \section witnessexample1 Example 1: Constructing weak relaxed witness complex from an off file + + Let's start with a simple example, which reads an off point file and computes a weak witness complex. + + \include Witness_complex/example_witness_complex_off.cpp + + \section witnessexample2 Example2: Computing persistence using strong relaxed witness complex Here is an example of constructing a strong witness complex filtration and computing persistence on it: diff --git a/src/Witness_complex/example/example_strong_witness_persistence.cpp b/src/Witness_complex/example/example_strong_witness_persistence.cpp index f43cba52..a0563ee2 100644 --- a/src/Witness_complex/example/example_strong_witness_persistence.cpp +++ b/src/Witness_complex/example/example_strong_witness_persistence.cpp @@ -1,25 +1,3 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2016 INRIA (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - #include #include #include @@ -81,10 +59,8 @@ int main(int argc, char * argv[]) { Gudhi::subsampling::pick_n_random_points(witnesses, nbL, std::back_inserter(landmarks)); // Compute witness complex - Strong_witness_complex strong_witness_complex(landmarks.begin(), - landmarks.end(), - witnesses.begin(), - witnesses.end()); + Strong_witness_complex strong_witness_complex(landmarks, + witnesses); strong_witness_complex.create_complex(simplex_tree, max_squared_alpha); diff --git a/src/Witness_complex/example/example_witness_complex_off.cpp b/src/Witness_complex/example/example_witness_complex_off.cpp index 94088370..2677499a 100644 --- a/src/Witness_complex/example/example_witness_complex_off.cpp +++ b/src/Witness_complex/example/example_witness_complex_off.cpp @@ -1,25 +1,3 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2015 INRIA (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - #include #include @@ -72,10 +50,8 @@ int main(int argc, char * const argv[]) { // Compute witness complex start = clock(); - Witness_complex witness_complex(landmarks.begin(), - landmarks.end(), - point_vector.begin(), - point_vector.end()); + Witness_complex witness_complex(landmarks, + point_vector); witness_complex.create_complex(simplex_tree, alpha2, lim_dim); end = clock(); diff --git a/src/Witness_complex/example/example_witness_complex_persistence.cpp b/src/Witness_complex/example/example_witness_complex_persistence.cpp index b1b415fa..00f00aae 100644 --- a/src/Witness_complex/example/example_witness_complex_persistence.cpp +++ b/src/Witness_complex/example/example_witness_complex_persistence.cpp @@ -1,25 +1,3 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2016 INRIA (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - #include #include #include @@ -81,10 +59,8 @@ int main(int argc, char * argv[]) { Gudhi::subsampling::pick_n_random_points(witnesses, nbL, std::back_inserter(landmarks)); // Compute witness complex - Witness_complex witness_complex(landmarks.begin(), - landmarks.end(), - witnesses.begin(), - witnesses.end()); + Witness_complex witness_complex(landmarks, + witnesses); witness_complex.create_complex(simplex_tree, max_squared_alpha); diff --git a/src/Witness_complex/example/example_witness_complex_sphere.cpp b/src/Witness_complex/example/example_witness_complex_sphere.cpp index d21195fa..42fb9f8d 100644 --- a/src/Witness_complex/example/example_witness_complex_sphere.cpp +++ b/src/Witness_complex/example/example_witness_complex_sphere.cpp @@ -1,24 +1,3 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2015 INRIA (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ #define BOOST_PARAMETER_MAX_ARITY 12 @@ -80,10 +59,8 @@ int main(int argc, char * const argv[]) { Gudhi::subsampling::pick_n_random_points(point_vector, number_of_landmarks, std::back_inserter(landmarks)); // Compute witness complex - Witness_complex witness_complex(landmarks.begin(), - landmarks.end(), - point_vector.begin(), - point_vector.end()); + Witness_complex witness_complex(landmarks, + point_vector); witness_complex.create_complex(simplex_tree, 0); end = clock(); double time = static_cast(end - start) / CLOCKS_PER_SEC; diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index 7ef8d3e5..c7b8c27b 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -94,22 +94,18 @@ private: /** * \brief Initializes member variables before constructing simplicial complex. - * \details Records landmarks from the range [landmarks_first, landmarks_last) into a - * table internally, as well as witnesses from the range [witnesses_first, witnesses_last). - * All iterator parameters should satisfy InputIterator - * C++ concept. + * \details Records landmarks from the range 'landmarks' into a + * table internally, as well as witnesses from the range 'witnesses'. */ - template< typename InputIteratorLandmarks, - typename InputIteratorWitnesses > - Strong_witness_complex(InputIteratorLandmarks landmarks_first, - InputIteratorLandmarks landmarks_last, - InputIteratorWitnesses witnesses_first, - InputIteratorWitnesses witnesses_last) - : witnesses_(witnesses_first, witnesses_last), landmarks_(landmarks_first, landmarks_last), landmark_tree_(landmarks_) + template< typename LandmarkRange, + typename WitnessRange > + Strong_witness_complex(const LandmarkRange & landmarks, + const WitnessRange & witnesses) + : witnesses_(witnesses), landmarks_(landmarks), landmark_tree_(landmarks_) { } + /** \brief Returns the point corresponding to the given vertex. */ template @@ -118,9 +114,10 @@ private: return landmarks_[vertex]; } - /** \brief Outputs the strong witness complex in a simplicial complex data structure. - * @param[out] complex Simplicial complex data structure compatible with 'find' and 'insert' operations. - * (Cf SimplicialComplexForWitness) + /** \brief Outputs the strong witness complex of relaxation 'max_alpha_square' + * in a simplicial complex data structure. + * @param[out] complex Simplicial complex data structure, which is a model of + * SimplicialComplexForWitness concept. * @param[in] max_alpha_square Maximal squared relaxation parameter. * @param[in] limit_dimension Represents the maximal dimension of the simplicial complex * (default value = no limit). diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index ac0e8f66..c1d402c6 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -46,12 +46,6 @@ namespace witness_complex { * \tparam Kernel_ requires a CGAL::Epick_d class, which * can be static if you know the ambiant dimension at compile-time, or dynamic if you don't. - * \tparam DimensionTag can be either Dimension_tag - * if you know the intrinsic dimension at compile-time, - * or CGAL::Dynamic_dimension_tag - * if you don't. */ template< class Kernel_ > class Witness_complex { @@ -94,19 +88,14 @@ private: /** * \brief Initializes member variables before constructing simplicial complex. - * \details Records landmarks from the range [landmarks_first, landmarks_last) into a - * table internally, as well as witnesses from the range [witnesses_first, witnesses_last). - * All iterator parameters should satisfy InputIterator - * C++ concept. + * \details Records landmarks from the range 'landmarks' into a + * table internally, as well as witnesses from the range 'witnesses'. */ - template< typename InputIteratorLandmarks, - typename InputIteratorWitnesses > - Witness_complex(InputIteratorLandmarks landmarks_first, - InputIteratorLandmarks landmarks_last, - InputIteratorWitnesses witnesses_first, - InputIteratorWitnesses witnesses_last) - : witnesses_(witnesses_first, witnesses_last), landmarks_(landmarks_first, landmarks_last), landmark_tree_(landmarks_) + template< typename LandmarkRange, + typename WitnessRange > + Witness_complex(const LandmarkRange & landmarks, + const WitnessRange & witnesses) + : witnesses_(witnesses), landmarks_(landmarks), landmark_tree_(landmarks_) { } @@ -118,9 +107,10 @@ private: return landmarks_[vertex]; } - /** \brief Outputs the (weak) witness complex in a simplicial complex data structure. - * @param[out] complex Simplicial complex data structure compatible with 'find' and 'insert' operations. - * (Cf SimplicialComplexForWitness) + /** \brief Outputs the (weak) witness complex of relaxation 'max_alpha_square' + * in a simplicial complex data structure. + * @param[out] complex Simplicial complex data structure compatible which is a model of + * SimplicialComplexForWitness concept. * @param[in] max_alpha_square Maximal squared relaxation parameter. * @param[in] limit_dimension Represents the maximal dimension of the simplicial complex * (default value = no limit). diff --git a/src/Witness_complex/test/test_simple_witness_complex.cpp b/src/Witness_complex/test/test_simple_witness_complex.cpp index 90b6cfa2..a0a1b36c 100644 --- a/src/Witness_complex/test/test_simple_witness_complex.cpp +++ b/src/Witness_complex/test/test_simple_witness_complex.cpp @@ -1,25 +1,3 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2016 INRIA (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - #define BOOST_TEST_DYN_LINK #define BOOST_TEST_MODULE "simple_witness_complex" #include @@ -79,10 +57,8 @@ BOOST_AUTO_TEST_CASE(simple_witness_complex) { witnesses.push_back(Point_d(std::vector{ 2,-1})); witnesses.push_back(Point_d(std::vector{ 2, 1})); - WitnessComplex witness_complex(landmarks.begin(), - landmarks.end(), - witnesses.begin(), - witnesses.end()); + WitnessComplex witness_complex(landmarks, + witnesses); witness_complex.create_complex(complex, 0); std::cout << "complex.num_simplices() = " << complex.num_simplices() << std::endl; @@ -93,10 +69,8 @@ BOOST_AUTO_TEST_CASE(simple_witness_complex) { std::cout << "relaxed_complex.num_simplices() = " << relaxed_complex.num_simplices() << std::endl; BOOST_CHECK(relaxed_complex.num_simplices() == 239); - StrongWitnessComplex strong_witness_complex(landmarks.begin(), - landmarks.end(), - witnesses.begin(), - witnesses.end()); + StrongWitnessComplex strong_witness_complex(landmarks, + witnesses); strong_witness_complex.create_complex(strong_relaxed_complex, 9.1); -- cgit v1.2.3 From f891467fe38d7757aa3d92705ca99e847cdd68d9 Mon Sep 17 00:00:00 2001 From: skachano Date: Fri, 18 Nov 2016 16:07:44 +0000 Subject: Modified doc git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1760 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: d4e7410ecfdd7ae8867ce3e95e69e1e83948b579 --- src/Witness_complex/doc/Witness_complex_doc.h | 59 +- src/Witness_complex/doc/swit.svg | 1303 +++++++++++++++++++++++++ src/common/doc/main_page.h | 6 +- 3 files changed, 1358 insertions(+), 10 deletions(-) create mode 100644 src/Witness_complex/doc/swit.svg diff --git a/src/Witness_complex/doc/Witness_complex_doc.h b/src/Witness_complex/doc/Witness_complex_doc.h index 2831f107..ba258ddc 100644 --- a/src/Witness_complex/doc/Witness_complex_doc.h +++ b/src/Witness_complex/doc/Witness_complex_doc.h @@ -22,18 +22,24 @@ De Silva and Carlsson in their paper \cite de2004topological differentiate **weak witnessing** and **strong witnessing**: - - *weak*: \f$ \sigma \subset L \f$ is witnessed by \f$ w \in W\f$ if \f$ \forall l \in \sigma,\ \forall l' \in L \setminus \sigma,\ d(w,l) \leq d(w,l') \f$ - - *strong*: \f$ \sigma \subset L \f$ is witnessed by \f$ w \in W\f$ if \f$ \forall l \in \sigma,\ \forall l' \in L,\ d(w,l) \leq d(w,l') \f$ + - *weak*: \f$ \sigma \subset L \f$ is witnessed by \f$ w \in W\f$ if \f$ \forall l \in \sigma,\ \forall l' \in \mathbf{L \setminus \sigma},\ d(w,l) \leq d(w,l') \f$ + - *strong*: \f$ \sigma \subset L \f$ is witnessed by \f$ w \in W\f$ if \f$ \forall l \in \sigma,\ \forall l' \in \mathbf{L},\ d(w,l) \leq d(w,l') \f$ where \f$ d(.,.) \f$ is a distance function. Both definitions can be relaxed by a real value \f$\alpha\f$: - - *weak*: \f$ \sigma \subset L \f$ is \f$\alpha\f$-witnessed by \f$ w \in W\f$ if \f$ \forall l \in \sigma,\ \forall l' \in L \setminus \sigma,\ d(w,l)^2 \leq d(w,l')^2 + \alpha^2 \f$ - - *strong*: \f$ \sigma \subset L \f$ is \f$\alpha\f$-witnessed by \f$ w \in W\f$ if \f$ \forall l \in \sigma,\ \forall l' \in L,\ d(w,l)^2 \leq d(w,l')^2 + \alpha^2 \f$ + - *weak*: \f$ \sigma \subset L \f$ is \f$\alpha\f$-witnessed by \f$ w \in W\f$ if \f$ \forall l \in \sigma,\ \forall l' \in \mathbf{L \setminus \sigma},\ d(w,l)^2 \leq d(w,l')^2 + \alpha^2 \f$ + - *strong*: \f$ \sigma \subset L \f$ is \f$\alpha\f$-witnessed by \f$ w \in W\f$ if \f$ \forall l \in \sigma,\ \forall l' \in \mathbf{L},\ d(w,l)^2 \leq d(w,l')^2 + \alpha^2 \f$ which leads to definitions of **weak relaxed witness complex** (or just relaxed witness complex for short) and **strong relaxed witness complex** respectively. + \image html "swit.svg" "Strong witness witnesses the whole simplex in the witnessing ball" + + In particular case of 0-relaxation, weak complex corresponds to **witness complex** introduced in \cite de2004topological, whereas 0-relaxed strong witness complex consists of just vertices and is not very interesting. + Hence for small relaxation weak version is preferable. + However, to capture the homotopy type (for example using Gudhi::persistent_cohomology::Persistent_cohomology) it is often necessary to work with higher filtration values. In this case strong relaxed witness complex is faster to compute and offers similar results. + \section witnessimplementation Implementation The two complexes described above are implemented in the corresponding classes @@ -51,7 +57,47 @@ Let's start with a simple example, which reads an off point file and computes a weak witness complex. - \include Witness_complex/example_witness_complex_off.cpp + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~{.cpp} + +#include +#include +#include +#include + +#include + +#include +#include + +typedef CGAL::Epick_d K; +typedef typename K::Point_d Point_d; +typedef typename Gudhi::witness_complex::Witness_complex Witness_complex; +typedef std::vector< Vertex_handle > typeVectorVertex; +typedef std::vector< Point_d > Point_vector; + +int main(int argc, char * const argv[]) { + std::string file_name = argv[1]; + int nbL = atoi(argv[2]), lim_dim = atoi(argv[4]); + double alpha2 = atof(argv[3]); + Gudhi::Simplex_tree<> simplex_tree; + + // Read the point file + Point_vector point_vector, landmarks; + Gudhi::Points_off_reader off_reader(file_name); + point_vector = Point_vector(off_reader.get_point_cloud()); + + // Choose landmarks + Gudhi::subsampling::pick_n_random_points(point_vector, nbL, std::back_inserter(landmarks)); + + // Compute witness complex + Witness_complex witness_complex(landmarks, + point_vector); + + witness_complex.create_complex(simplex_tree, alpha2, lim_dim); +} + + + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \section witnessexample2 Example2: Computing persistence using strong relaxed witness complex @@ -59,9 +105,6 @@ \include Witness_complex/example_strong_witness_persistence.cpp - *\image html "bench_Cy8.png" "Running time as function on number of landmarks" width=10cm - *\image html "bench_sphere.png" "Running time as function on number of witnesses for |L|=300" width=10cm - \copyright GNU General Public License v3. diff --git a/src/Witness_complex/doc/swit.svg b/src/Witness_complex/doc/swit.svg new file mode 100644 index 00000000..6ffb5fff --- /dev/null +++ b/src/Witness_complex/doc/swit.svg @@ -0,0 +1,1303 @@ + + + + + + + + + + + + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/src/common/doc/main_page.h b/src/common/doc/main_page.h index 21cf6925..0b5588da 100644 --- a/src/common/doc/main_page.h +++ b/src/common/doc/main_page.h @@ -337,7 +337,9 @@ make \endverbatim * @example Skeleton_blocker/Skeleton_blocker_from_simplices.cpp * @example Skeleton_blocker/Skeleton_blocker_iteration.cpp * @example Skeleton_blocker/Skeleton_blocker_link.cpp - * @example Witness_complex/witness_complex_from_file.cpp - * @example Witness_complex/witness_complex_sphere.cpp + * @example Witness_complex/example_strong_witness_persistence.cpp + * @example Witness_complex/example_witness_complex_off.cpp + * @example Witness_complex/example_witness_complex_persistence.cpp + * @example Witness_complex/example_witness_complex_sphere.cpp */ -- cgit v1.2.3 From 22f0bc7f98e4ead21616fa10a3b3c3279a922ee4 Mon Sep 17 00:00:00 2001 From: skachano Date: Mon, 21 Nov 2016 16:15:13 +0000 Subject: Fixed small bug in an example. Thanks to Clément MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1765 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: ef71f8be01c177a6b0da8ff58849f1041659e523 --- src/Witness_complex/doc/Witness_complex_doc.h | 2 +- src/Witness_complex/example/example_witness_complex_off.cpp | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/src/Witness_complex/doc/Witness_complex_doc.h b/src/Witness_complex/doc/Witness_complex_doc.h index ba258ddc..fa45e359 100644 --- a/src/Witness_complex/doc/Witness_complex_doc.h +++ b/src/Witness_complex/doc/Witness_complex_doc.h @@ -34,7 +34,7 @@ which leads to definitions of **weak relaxed witness complex** (or just relaxed witness complex for short) and **strong relaxed witness complex** respectively. - \image html "swit.svg" "Strong witness witnesses the whole simplex in the witnessing ball" + \image html "swit.svg" "Strongly witnessed simplex" In particular case of 0-relaxation, weak complex corresponds to **witness complex** introduced in \cite de2004topological, whereas 0-relaxed strong witness complex consists of just vertices and is not very interesting. Hence for small relaxation weak version is preferable. diff --git a/src/Witness_complex/example/example_witness_complex_off.cpp b/src/Witness_complex/example/example_witness_complex_off.cpp index 2677499a..c057c118 100644 --- a/src/Witness_complex/example/example_witness_complex_off.cpp +++ b/src/Witness_complex/example/example_witness_complex_off.cpp @@ -21,7 +21,7 @@ typedef std::vector< Vertex_handle > typeVectorVertex; typedef std::vector< Point_d > Point_vector; int main(int argc, char * const argv[]) { - if (argc != 4) { + if (argc != 5) { std::cerr << "Usage: " << argv[0] << " path_to_point_file number_of_landmarks max_squared_alpha limit_dimension\n"; return 0; -- cgit v1.2.3 From 18088ab139f26dc3a0018dea3a2c2f28261cfedc Mon Sep 17 00:00:00 2001 From: skachano Date: Tue, 29 Nov 2016 16:47:12 +0000 Subject: Small fix in example git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1799 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 236c93cf0ad0037fb17fea063d7a15824f18eff8 --- src/Witness_complex/example/example_witness_complex_persistence.cpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/Witness_complex/example/example_witness_complex_persistence.cpp b/src/Witness_complex/example/example_witness_complex_persistence.cpp index 00f00aae..5e63ffe2 100644 --- a/src/Witness_complex/example/example_witness_complex_persistence.cpp +++ b/src/Witness_complex/example/example_witness_complex_persistence.cpp @@ -115,7 +115,7 @@ void program_options(int argc, char * argv[] ("output-file,o", po::value(&filediag)->default_value(std::string()), "Name of file in which the persistence diagram is written. Default print in std::cout") ("max-sq-alpha,a", po::value(&max_squared_alpha)->default_value(std::numeric_limits::infinity()), - "Maximal length of an edge for the Rips complex construction.") + "Maximal squared relaxation parameter.") ("field-charac,p", po::value(&p)->default_value(11), "Characteristic p of the coefficient field Z/pZ for computing homology.") ("min-persistence,m", po::value(&min_persistence)->default_value(0), -- cgit v1.2.3 From 48c9d66c9e9ac19519482f4ac4ac18c44f8e2fc6 Mon Sep 17 00:00:00 2001 From: skachano Date: Tue, 29 Nov 2016 16:48:10 +0000 Subject: Small fix in another example git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1800 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: a13dbce7e312e876f1776d1c03229e894979f3c6 --- src/Witness_complex/example/example_strong_witness_persistence.cpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/Witness_complex/example/example_strong_witness_persistence.cpp b/src/Witness_complex/example/example_strong_witness_persistence.cpp index a0563ee2..4997e829 100644 --- a/src/Witness_complex/example/example_strong_witness_persistence.cpp +++ b/src/Witness_complex/example/example_strong_witness_persistence.cpp @@ -115,7 +115,7 @@ void program_options(int argc, char * argv[] ("output-file,o", po::value(&filediag)->default_value(std::string()), "Name of file in which the persistence diagram is written. Default print in std::cout") ("max-sq-alpha,a", po::value(&max_squared_alpha)->default_value(std::numeric_limits::infinity()), - "Maximal length of an edge for the Rips complex construction.") + "Maximal squared relaxation parameter.") ("field-charac,p", po::value(&p)->default_value(11), "Characteristic p of the coefficient field Z/pZ for computing homology.") ("min-persistence,m", po::value(&min_persistence)->default_value(0), -- cgit v1.2.3 From fc77638a90ce98c4cee71f09a55821a510c011b1 Mon Sep 17 00:00:00 2001 From: skachano Date: Tue, 29 Nov 2016 17:09:49 +0000 Subject: Added the forgotten dimension limits >_< git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1802 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 7437f5d76c53e22ec8cfbbd44177c3a689badcff --- src/Witness_complex/example/example_strong_witness_persistence.cpp | 2 +- src/Witness_complex/example/example_witness_complex_persistence.cpp | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/src/Witness_complex/example/example_strong_witness_persistence.cpp b/src/Witness_complex/example/example_strong_witness_persistence.cpp index 4997e829..c81cafd1 100644 --- a/src/Witness_complex/example/example_strong_witness_persistence.cpp +++ b/src/Witness_complex/example/example_strong_witness_persistence.cpp @@ -62,7 +62,7 @@ int main(int argc, char * argv[]) { Strong_witness_complex strong_witness_complex(landmarks, witnesses); - strong_witness_complex.create_complex(simplex_tree, max_squared_alpha); + strong_witness_complex.create_complex(simplex_tree, max_squared_alpha, lim_d); std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; std::cout << " and has dimension " << simplex_tree.dimension() << " \n"; diff --git a/src/Witness_complex/example/example_witness_complex_persistence.cpp b/src/Witness_complex/example/example_witness_complex_persistence.cpp index 5e63ffe2..0350b9cc 100644 --- a/src/Witness_complex/example/example_witness_complex_persistence.cpp +++ b/src/Witness_complex/example/example_witness_complex_persistence.cpp @@ -62,7 +62,7 @@ int main(int argc, char * argv[]) { Witness_complex witness_complex(landmarks, witnesses); - witness_complex.create_complex(simplex_tree, max_squared_alpha); + witness_complex.create_complex(simplex_tree, max_squared_alpha, lim_d); std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; std::cout << " and has dimension " << simplex_tree.dimension() << " \n"; -- cgit v1.2.3 From 2ef24de87b91f0e71177b3190affb0263f09379b Mon Sep 17 00:00:00 2001 From: skachano Date: Tue, 29 Nov 2016 20:59:17 +0000 Subject: Got rid of the comparison of iterators of different ranges git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1804 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: fb333a1b5ef20371393dfbf7a00a4fd73e3c92e7 --- .../include/gudhi/Active_witness/Active_witness.h | 3 --- .../gudhi/Active_witness/Active_witness_iterator.h | 15 +++++++-------- 2 files changed, 7 insertions(+), 11 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h index fce7d3d1..debbd286 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h @@ -44,9 +44,6 @@ public: typedef Active_witness_iterator< ActiveWitness, Id_distance_pair, INS_iterator > iterator; typedef typename std::list Table; - Table end_element_table_ = {Id_distance_pair(-1,0)}; - typename Table::iterator end_pointer = end_element_table_.begin(); - Table nearest_landmark_table_; INS_range search_range_; INS_iterator iterator_last_; diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h index ae051bea..dd1501c3 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h @@ -54,18 +54,17 @@ class Active_witness_iterator Active_witness *aw_; Pair_iterator lh_; // landmark handle - //INS_iterator iterator_last; - //INS_iterator iterator_end; + bool is_end_; // true only if the pointer is end and there are no more neighbors to add public: Active_witness_iterator(Active_witness* aw) - : aw_(aw), lh_(aw_->end_pointer) + : aw_(aw), lh_(aw_->nearest_landmark_table_.end()), is_end_(true) { } Active_witness_iterator(Active_witness* aw, Pair_iterator lh) - : aw_(aw), lh_(lh) - { + : aw_(aw), lh_(lh), is_end_(false) + { } private : @@ -77,7 +76,7 @@ private : bool equal(const Iterator& other) const { - return (lh_ == other.lh_); + return (is_end_ == other.is_end_) || (lh_ == other.lh_); } void increment() @@ -85,7 +84,7 @@ private : // if neighbor search is at its end, check if lh_++ is end if (aw_->iterator_last_ == aw_->iterator_end_) { if (lh_++ == aw_->nearest_landmark_table_.end()) { - lh_ = aw_->end_pointer; + is_end_ = true; return; } return; @@ -94,7 +93,7 @@ private : if (lh_->first == aw_->iterator_last_->first) { // if the next iterator is end, lh_it = end pointer if (++(aw_->iterator_last_) == aw_->iterator_end_) { - lh_ = aw_->end_pointer; + is_end_ = true; return; } else -- cgit v1.2.3 From 6a1455578219460b9a15c58f47520d203682f9d8 Mon Sep 17 00:00:00 2001 From: skachano Date: Tue, 6 Dec 2016 09:22:03 +0000 Subject: Fixes in doc git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1823 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 2a0b01b5662daeeb1a15366d8e5d3d9747032175 --- src/Witness_complex/include/gudhi/Strong_witness_complex.h | 2 ++ src/Witness_complex/include/gudhi/Witness_complex.h | 10 ++++++---- 2 files changed, 8 insertions(+), 4 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index c7b8c27b..03cdbcca 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -96,6 +96,7 @@ private: * \brief Initializes member variables before constructing simplicial complex. * \details Records landmarks from the range 'landmarks' into a * table internally, as well as witnesses from the range 'witnesses'. + * Both ranges should have value_type Kernel_::Point_d. */ template< typename LandmarkRange, typename WitnessRange > @@ -116,6 +117,7 @@ private: /** \brief Outputs the strong witness complex of relaxation 'max_alpha_square' * in a simplicial complex data structure. + * \details The function returns true if the construction is successful and false otherwise. * @param[out] complex Simplicial complex data structure, which is a model of * SimplicialComplexForWitness concept. * @param[in] max_alpha_square Maximal squared relaxation parameter. diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index c1d402c6..36aad7c3 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -90,6 +90,7 @@ private: * \brief Initializes member variables before constructing simplicial complex. * \details Records landmarks from the range 'landmarks' into a * table internally, as well as witnesses from the range 'witnesses'. + * Both ranges should have value_type Kernel_::Point_d. */ template< typename LandmarkRange, typename WitnessRange > @@ -109,6 +110,7 @@ private: /** \brief Outputs the (weak) witness complex of relaxation 'max_alpha_square' * in a simplicial complex data structure. + * \details The function returns true if the construction is successful and false otherwise. * @param[out] complex Simplicial complex data structure compatible which is a model of * SimplicialComplexForWitness concept. * @param[in] max_alpha_square Maximal squared relaxation parameter. @@ -172,10 +174,10 @@ private: //@} private: - /* \brief Adds recursively all the faces of a certain dimension dim witnessed by the same witness - * Iterator is needed to know until how far we can take landmarks to form simplexes - * simplex is the prefix of the simplexes to insert - * The output value indicates if the witness rests active or not + /* \brief Adds recursively all the faces of a certain dimension dim witnessed by the same witness. + * Iterator is needed to know until how far we can take landmarks to form simplexes. + * simplex is the prefix of the simplexes to insert. + * The output value indicates if the witness rests active or not. */ template < typename SimplicialComplexForWitness > bool add_all_faces_of_dimension(int dim, -- cgit v1.2.3 From ae96c8bbacc9c54e69c1a4bdf70e03dbde2ec48c Mon Sep 17 00:00:00 2001 From: skachano Date: Tue, 6 Dec 2016 10:25:27 +0000 Subject: Added assert git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1824 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: fdf5f7fecd75007929b9f5d817f186851aac4542 --- .../include/gudhi/Active_witness/Active_witness_iterator.h | 10 ++-------- 1 file changed, 2 insertions(+), 8 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h index dd1501c3..6853faa6 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h @@ -81,14 +81,8 @@ private : void increment() { - // if neighbor search is at its end, check if lh_++ is end - if (aw_->iterator_last_ == aw_->iterator_end_) { - if (lh_++ == aw_->nearest_landmark_table_.end()) { - is_end_ = true; - return; - } - return; - } + // the neighbor search can't be at the end iterator of a list + assert(!is_end_ && lh_ != aw_->nearest_landmark_table_.end()); // if the id of the current landmark is the same as the last one if (lh_->first == aw_->iterator_last_->first) { // if the next iterator is end, lh_it = end pointer -- cgit v1.2.3 From ea13c32806f38e1436a13425a18b93c8cfabfa69 Mon Sep 17 00:00:00 2001 From: skachano Date: Tue, 6 Dec 2016 10:33:35 +0000 Subject: Changed assert to GUDHI_CHECK git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1825 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: b9b5f5d857bb94ce06b917643cb1c5756cc307bb --- .../include/gudhi/Active_witness/Active_witness_iterator.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h index 6853faa6..38e39f79 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h @@ -82,7 +82,7 @@ private : void increment() { // the neighbor search can't be at the end iterator of a list - assert(!is_end_ && lh_ != aw_->nearest_landmark_table_.end()); + GUDHI_CHECK(!is_end_ && lh_ != aw_->nearest_landmark_table_.end(), std::logic_error("Wrong active witness increment.")); // if the id of the current landmark is the same as the last one if (lh_->first == aw_->iterator_last_->first) { // if the next iterator is end, lh_it = end pointer -- cgit v1.2.3 From 0c26001efc086657ab46aeb2a1b7746f3e8bbfcf Mon Sep 17 00:00:00 2001 From: skachano Date: Fri, 16 Dec 2016 08:24:02 +0000 Subject: Attempted to fix the bug in Strong witness complex with limited dimension git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1891 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 8dbe379ae908813ccfaeced316f5d82b6cd91360 --- .../include/gudhi/Strong_witness_complex.h | 47 ++++++++++++++++++++++ .../include/gudhi/Witness_complex.h | 4 +- 2 files changed, 49 insertions(+), 2 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index 03cdbcca..3803980b 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -159,6 +159,13 @@ private: complex.insert_simplex_and_subfaces(simplex, aw_it->second - aw.begin()->second); aw_it++; } + // continue inserting limD-faces of the following simplices + typeVectorVertex& vertices = simplex; //'simplex' now will be called vertices + while (aw_it != aw.end() && aw_it->second < lim_dist2) { + add_all_faces_of_dimension(limD, vertices, vertices.begin(), aw_it, typeVectorVertex({}), complex); + vertices.push_back(aw_it->first); + aw_it++; + } if ((Landmark_id)simplex.size() - 1 > complex_dim) complex_dim = simplex.size() - 1; } @@ -166,6 +173,46 @@ private: return true; } +private: + + /* \brief Adds recursively all the faces of a certain dimension dim-1 witnessed by the same witness. + * Iterator is needed to know until how far we can take landmarks to form simplexes. + * simplex is the prefix of the simplexes to insert. + * The landmark pointed by aw_it is added to all formed simplices. + */ + template < typename SimplicialComplexForWitness > + void add_all_faces_of_dimension(int dim, + std::vector& vertices, + typename typeVectorVertex::iterator curr_it, + typename ActiveWitness::iterator aw_it, + std::vector& simplex, + SimplicialComplexForWitness& sc) + { + if (dim > 0) + while (curr_it != vertices.end()) { + simplex.push_back(curr_it->first); + typename ActiveWitness::iterator next_it = curr_it++; + add_all_faces_of_dimension(dim-1, + vertices, + next_it, + aw_it, + simplex, + sc); + simplex.pop_back(); + add_all_faces_of_dimension(dim, + vertices, + next_it, + aw_it, + simplex, + sc); + } + else if (dim == 0) { + simplex.push_back(aw_it->first); + sc.insert_simplex(simplex, aw_it->second); + simplex.pop_back(); + } + } + //@} }; diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 36aad7c3..56ea8613 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -56,8 +56,8 @@ private: typedef std::vector Point_range; typedef gss::Kd_tree_search Kd_tree; typedef typename Kd_tree::INS_range Nearest_landmark_range; - typedef typename std::vector Nearest_landmark_table; - typedef typename Nearest_landmark_range::iterator Nearest_landmark_row_iterator; + //typedef typename std::vector Nearest_landmark_table; + //typedef typename Nearest_landmark_range::iterator Nearest_landmark_row_iterator; typedef std::vector< double > Point_t; typedef std::vector< Point_t > Point_Vector; -- cgit v1.2.3 From e36bb3953817d9aa3b1baaa61e51cee4099787b9 Mon Sep 17 00:00:00 2001 From: skachano Date: Fri, 16 Dec 2016 08:42:13 +0000 Subject: memory access violation: here we go again git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1892 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: fff0a693f83f8f0a0f93d2fe57640408e7b17c69 --- src/Witness_complex/include/gudhi/Strong_witness_complex.h | 13 +++++++------ src/Witness_complex/test/test_simple_witness_complex.cpp | 8 +++++--- 2 files changed, 12 insertions(+), 9 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index 3803980b..5f9db5a4 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -162,7 +162,8 @@ private: // continue inserting limD-faces of the following simplices typeVectorVertex& vertices = simplex; //'simplex' now will be called vertices while (aw_it != aw.end() && aw_it->second < lim_dist2) { - add_all_faces_of_dimension(limD, vertices, vertices.begin(), aw_it, typeVectorVertex({}), complex); + typeVectorVertex facet = {}; + add_all_faces_of_dimension(limit_dimension, vertices, vertices.begin(), aw_it, facet, complex); vertices.push_back(aw_it->first); aw_it++; } @@ -181,17 +182,17 @@ private: * The landmark pointed by aw_it is added to all formed simplices. */ template < typename SimplicialComplexForWitness > - void add_all_faces_of_dimension(int dim, - std::vector& vertices, + void add_all_faces_of_dimension(Landmark_id dim, + typeVectorVertex& vertices, typename typeVectorVertex::iterator curr_it, typename ActiveWitness::iterator aw_it, - std::vector& simplex, + typeVectorVertex& simplex, SimplicialComplexForWitness& sc) { if (dim > 0) while (curr_it != vertices.end()) { - simplex.push_back(curr_it->first); - typename ActiveWitness::iterator next_it = curr_it++; + simplex.push_back(*curr_it); + typename typeVectorVertex::iterator next_it = curr_it++; add_all_faces_of_dimension(dim-1, vertices, next_it, diff --git a/src/Witness_complex/test/test_simple_witness_complex.cpp b/src/Witness_complex/test/test_simple_witness_complex.cpp index a0a1b36c..dc7f3175 100644 --- a/src/Witness_complex/test/test_simple_witness_complex.cpp +++ b/src/Witness_complex/test/test_simple_witness_complex.cpp @@ -32,7 +32,7 @@ typedef Gudhi::witness_complex::Strong_witness_complex StrongWitnessComp */ BOOST_AUTO_TEST_CASE(simple_witness_complex) { - Simplex_tree complex, relaxed_complex, strong_relaxed_complex; + Simplex_tree complex, relaxed_complex, strong_relaxed_complex, strong_relaxed_complex2; std::vector witnesses, landmarks; @@ -73,8 +73,10 @@ BOOST_AUTO_TEST_CASE(simple_witness_complex) { witnesses); strong_witness_complex.create_complex(strong_relaxed_complex, 9.1); - + strong_witness_complex.create_complex(strong_relaxed_complex2, 9.1, 2); + std::cout << "strong_relaxed_complex.num_simplices() = " << strong_relaxed_complex.num_simplices() << std::endl; BOOST_CHECK(strong_relaxed_complex.num_simplices() == 239); - + + std::cout << "strong_relaxed_complex2.num_simplices() = " << strong_relaxed_complex2.num_simplices() << std::endl; } -- cgit v1.2.3 From 7f5d6edb13f0c15bf85552984f3f6930fb810711 Mon Sep 17 00:00:00 2001 From: skachano Date: Fri, 16 Dec 2016 16:58:38 +0000 Subject: I'm almost there... git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1908 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: a3f2a7ccf38672e51462d2ce42056d82b675d45a --- src/Witness_complex/include/gudhi/Strong_witness_complex.h | 4 ++-- src/Witness_complex/test/CMakeLists.txt | 1 + src/Witness_complex/test/test_simple_witness_complex.cpp | 8 +++++++- 3 files changed, 10 insertions(+), 3 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index 5f9db5a4..4b39704e 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -192,7 +192,7 @@ private: if (dim > 0) while (curr_it != vertices.end()) { simplex.push_back(*curr_it); - typename typeVectorVertex::iterator next_it = curr_it++; + typename typeVectorVertex::iterator next_it = ++curr_it; add_all_faces_of_dimension(dim-1, vertices, next_it, @@ -209,7 +209,7 @@ private: } else if (dim == 0) { simplex.push_back(aw_it->first); - sc.insert_simplex(simplex, aw_it->second); + sc.insert_simplex_and_subfaces(simplex, aw_it->second); simplex.pop_back(); } } diff --git a/src/Witness_complex/test/CMakeLists.txt b/src/Witness_complex/test/CMakeLists.txt index 8d68ea1f..084761e2 100644 --- a/src/Witness_complex/test/CMakeLists.txt +++ b/src/Witness_complex/test/CMakeLists.txt @@ -12,6 +12,7 @@ endif() add_executable ( Witness_complex_test_simple_witness_complex test_simple_witness_complex.cpp ) target_link_libraries(Witness_complex_test_simple_witness_complex ${Boost_SYSTEM_LIBRARY} ${Boost_UNIT_TEST_FRAMEWORK_LIBRARY}) +target_link_libraries(Witness_complex_test_simple_witness_complex ${TBB_LIBRARIES}) # Unitary tests definition and xml result file generation add_test(NAME simple_witness_complex diff --git a/src/Witness_complex/test/test_simple_witness_complex.cpp b/src/Witness_complex/test/test_simple_witness_complex.cpp index dc7f3175..299c7fd6 100644 --- a/src/Witness_complex/test/test_simple_witness_complex.cpp +++ b/src/Witness_complex/test/test_simple_witness_complex.cpp @@ -68,6 +68,10 @@ BOOST_AUTO_TEST_CASE(simple_witness_complex) { std::cout << "relaxed_complex.num_simplices() = " << relaxed_complex.num_simplices() << std::endl; BOOST_CHECK(relaxed_complex.num_simplices() == 239); + // All edges but big diagonals are present. + // + // Simplex count (number:dimension): + StrongWitnessComplex strong_witness_complex(landmarks, witnesses); @@ -78,5 +82,7 @@ BOOST_AUTO_TEST_CASE(simple_witness_complex) { std::cout << "strong_relaxed_complex.num_simplices() = " << strong_relaxed_complex.num_simplices() << std::endl; BOOST_CHECK(strong_relaxed_complex.num_simplices() == 239); - std::cout << "strong_relaxed_complex2.num_simplices() = " << strong_relaxed_complex2.num_simplices() << std::endl; + std::cout << "strong_relaxed_complex2.num_simplices() = " << strong_relaxed_complex2.num_simplices() << std::endl; + BOOST_CHECK(strong_relaxed_complex2.num_simplices() == 101); + std::cout << strong_relaxed_complex2 << std::endl; } -- cgit v1.2.3 From 413f0c97bd70642a107d1479e9e8762fd24f300d Mon Sep 17 00:00:00 2001 From: skachano Date: Fri, 16 Dec 2016 17:09:07 +0000 Subject: Got filtration value right git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1911 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: fcca8ce0da982092e8ea09e40f329afa9b21989b --- src/Witness_complex/include/gudhi/Strong_witness_complex.h | 7 +++++-- 1 file changed, 5 insertions(+), 2 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index 4b39704e..a3f88aae 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -163,7 +163,7 @@ private: typeVectorVertex& vertices = simplex; //'simplex' now will be called vertices while (aw_it != aw.end() && aw_it->second < lim_dist2) { typeVectorVertex facet = {}; - add_all_faces_of_dimension(limit_dimension, vertices, vertices.begin(), aw_it, facet, complex); + add_all_faces_of_dimension(limit_dimension, vertices, vertices.begin(), aw_it, aw_it->second - aw.begin()->second, facet, complex); vertices.push_back(aw_it->first); aw_it++; } @@ -186,6 +186,7 @@ private: typeVectorVertex& vertices, typename typeVectorVertex::iterator curr_it, typename ActiveWitness::iterator aw_it, + FT filtration_value, typeVectorVertex& simplex, SimplicialComplexForWitness& sc) { @@ -197,6 +198,7 @@ private: vertices, next_it, aw_it, + filtration_value, simplex, sc); simplex.pop_back(); @@ -204,12 +206,13 @@ private: vertices, next_it, aw_it, + filtration_value, simplex, sc); } else if (dim == 0) { simplex.push_back(aw_it->first); - sc.insert_simplex_and_subfaces(simplex, aw_it->second); + sc.insert_simplex_and_subfaces(simplex, filtration_value); simplex.pop_back(); } } -- cgit v1.2.3 From be4e9ebd24f48def07f6dfec1a46791321fbaee4 Mon Sep 17 00:00:00 2001 From: skachano Date: Fri, 16 Dec 2016 17:51:58 +0000 Subject: The bug with limit dimension in Strong witness is fixed git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1912 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 2229381ca73da7ebe6a8b22d9a9a8eab70f65eb5 --- src/Witness_complex/include/gudhi/Strong_witness_complex.h | 2 +- src/Witness_complex/test/test_simple_witness_complex.cpp | 8 +++----- 2 files changed, 4 insertions(+), 6 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index a3f88aae..3bb39c61 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -154,7 +154,7 @@ private: typeVectorVertex simplex; typename ActiveWitness::iterator aw_it = aw.begin(); float lim_dist2 = aw.begin()->second + max_alpha_square; - while ((Landmark_id)simplex.size() <= limit_dimension + 1 && aw_it != aw.end() && aw_it->second < lim_dist2) { + while ((Landmark_id)simplex.size() < limit_dimension + 1 && aw_it != aw.end() && aw_it->second < lim_dist2) { simplex.push_back(aw_it->first); complex.insert_simplex_and_subfaces(simplex, aw_it->second - aw.begin()->second); aw_it++; diff --git a/src/Witness_complex/test/test_simple_witness_complex.cpp b/src/Witness_complex/test/test_simple_witness_complex.cpp index 299c7fd6..aff6949e 100644 --- a/src/Witness_complex/test/test_simple_witness_complex.cpp +++ b/src/Witness_complex/test/test_simple_witness_complex.cpp @@ -68,9 +68,7 @@ BOOST_AUTO_TEST_CASE(simple_witness_complex) { std::cout << "relaxed_complex.num_simplices() = " << relaxed_complex.num_simplices() << std::endl; BOOST_CHECK(relaxed_complex.num_simplices() == 239); - // All edges but big diagonals are present. - // - // Simplex count (number:dimension): + // The corner simplex {0,2,5,7} and its cofaces are missing. StrongWitnessComplex strong_witness_complex(landmarks, @@ -83,6 +81,6 @@ BOOST_AUTO_TEST_CASE(simple_witness_complex) { BOOST_CHECK(strong_relaxed_complex.num_simplices() == 239); std::cout << "strong_relaxed_complex2.num_simplices() = " << strong_relaxed_complex2.num_simplices() << std::endl; - BOOST_CHECK(strong_relaxed_complex2.num_simplices() == 101); - std::cout << strong_relaxed_complex2 << std::endl; + BOOST_CHECK(strong_relaxed_complex2.num_simplices() == 92); + // 8 vertices, 28 edges, 56 triangles } -- cgit v1.2.3 From f6992f0e5eb53d67a567ee0f12d2c16099bcaf1b Mon Sep 17 00:00:00 2001 From: skachano Date: Tue, 17 Jan 2017 22:58:28 +0000 Subject: Added a non-Euclidean version of Witness. Compiles, but doesn't work git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1943 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: a825e1ad183ae40170414038e70ce37d38e09689 --- .../include/gudhi/Witness_complex.h | 68 ++++++---------------- .../test/test_simple_witness_complex.cpp | 52 +++++++++++++---- 2 files changed, 61 insertions(+), 59 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 56ea8613..22f0f590 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -47,37 +47,22 @@ namespace witness_complex { * href="http://doc.cgal.org/latest/Kernel_d/classCGAL_1_1Epick__d.html">CGAL::Epick_d class, which * can be static if you know the ambiant dimension at compile-time, or dynamic if you don't. */ -template< class Kernel_ > +template< class Nearest_landmark_table_ > class Witness_complex { private: - typedef Kernel_ K; - typedef typename K::Point_d Point_d; - typedef typename K::FT FT; - typedef std::vector Point_range; - typedef gss::Kd_tree_search Kd_tree; - typedef typename Kd_tree::INS_range Nearest_landmark_range; - //typedef typename std::vector Nearest_landmark_table; - //typedef typename Nearest_landmark_range::iterator Nearest_landmark_row_iterator; - - typedef std::vector< double > Point_t; - typedef std::vector< Point_t > Point_Vector; - - typedef FT Filtration_value; - - - typedef std::size_t Witness_id; - typedef typename Nearest_landmark_range::Point_with_transformed_distance Id_distance_pair; - typedef typename Id_distance_pair::first_type Landmark_id; - typedef Active_witness ActiveWitness; - typedef std::list< ActiveWitness > ActiveWitnessList; - typedef std::vector< Landmark_id > typeVectorVertex; - typedef std::pair< typeVectorVertex, Filtration_value> typeSimplex; + typedef typename Nearest_landmark_table_::value_type Nearest_landmark_range; + typedef std::size_t Witness_id; + typedef std::size_t Landmark_id; + typedef std::pair Id_distance_pair; + typedef Active_witness ActiveWitness; + typedef std::list< ActiveWitness > ActiveWitnessList; + typedef std::vector< Landmark_id > typeVectorVertex; + typedef std::pair< typeVectorVertex, Filtration_value> typeSimplex; typedef Landmark_id Vertex_handle; private: - Point_range witnesses_, landmarks_; - Kd_tree landmark_tree_; + Nearest_landmark_table_& nearest_landmark_table_; public: ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////// @@ -92,22 +77,13 @@ private: * table internally, as well as witnesses from the range 'witnesses'. * Both ranges should have value_type Kernel_::Point_d. */ - template< typename LandmarkRange, - typename WitnessRange > - Witness_complex(const LandmarkRange & landmarks, - const WitnessRange & witnesses) - : witnesses_(witnesses), landmarks_(landmarks), landmark_tree_(landmarks_) + + Witness_complex(Nearest_landmark_table_ & nearest_landmark_table) + : nearest_landmark_table_(nearest_landmark_table) { } - /** \brief Returns the point corresponding to the given vertex. - * @param[in] vertex Vertex handle of the point to retrieve. - */ - Point_d get_point( Vertex_handle vertex ) const - { - return landmarks_[vertex]; - } - + /** \brief Outputs the (weak) witness complex of relaxation 'max_alpha_square' * in a simplicial complex data structure. * \details The function returns true if the construction is successful and false otherwise. @@ -119,10 +95,10 @@ private: */ template < typename SimplicialComplexForWitness > bool create_complex(SimplicialComplexForWitness& complex, - FT max_alpha_square, + double max_alpha_square, Landmark_id limit_dimension = std::numeric_limits::max()) { - std::size_t nbL = landmarks_.size(); + // std::size_t nbL = landmarks_.size(); if (complex.num_vertices() > 0) { std::cerr << "Witness complex cannot create complex - complex is not empty.\n"; return false; @@ -137,15 +113,9 @@ private: } typeVectorVertex vv; ActiveWitnessList active_witnesses; - for (unsigned i = 0; i != nbL; ++i) { - // initial fill of 0-dimensional simplices - // by doing it we don't assume that landmarks are necessarily witnesses themselves anymore - vv = {i}; - complex.insert_simplex(vv, Filtration_value(0.0)); - } - Landmark_id k = 1; /* current dimension in iterative construction */ - for (auto w: witnesses_) - active_witnesses.push_back(ActiveWitness(landmark_tree_.query_incremental_nearest_neighbors(w))); + Landmark_id k = 0; /* current dimension in iterative construction */ + for (auto w: nearest_landmark_table_) + active_witnesses.push_back(ActiveWitness(w)); ActiveWitness aw_copy(active_witnesses.front()); while (!active_witnesses.empty() && k <= limit_dimension ) { typename ActiveWitnessList::iterator aw_it = active_witnesses.begin(); diff --git a/src/Witness_complex/test/test_simple_witness_complex.cpp b/src/Witness_complex/test/test_simple_witness_complex.cpp index aff6949e..c50e829a 100644 --- a/src/Witness_complex/test/test_simple_witness_complex.cpp +++ b/src/Witness_complex/test/test_simple_witness_complex.cpp @@ -6,8 +6,13 @@ #include #include + #include +#include #include +#include + +#include #include #include @@ -18,8 +23,15 @@ typedef std::vector< Vertex_handle > typeVectorVertex; typedef CGAL::Epick_d Kernel; typedef typename Kernel::FT FT; typedef typename Kernel::Point_d Point_d; -typedef Gudhi::witness_complex::Witness_complex WitnessComplex; -typedef Gudhi::witness_complex::Strong_witness_complex StrongWitnessComplex; +typedef Gudhi::witness_complex::Euclidean_witness_complex EuclideanWitnessComplex; +typedef Gudhi::witness_complex::Euclidean_strong_witness_complex EuclideanStrongWitnessComplex; + +typedef std::vector Point_range; +typedef Gudhi::spatial_searching::Kd_tree_search Kd_tree; +typedef Kd_tree::INS_range Nearest_landmark_range; +typedef std::vector Nearest_landmark_table; +typedef Gudhi::witness_complex::Witness_complex WitnessComplex; + /* All landmarks and witnesses are taken on the grid in the following manner. LWLWL @@ -33,8 +45,9 @@ typedef Gudhi::witness_complex::Strong_witness_complex StrongWitnessComp BOOST_AUTO_TEST_CASE(simple_witness_complex) { Simplex_tree complex, relaxed_complex, strong_relaxed_complex, strong_relaxed_complex2; - - std::vector witnesses, landmarks; + Simplex_tree complex_ne, relaxed_complex_ne, strong_relaxed_complex_ne, strong_relaxed_complex2_ne; + + Point_range witnesses, landmarks; landmarks.push_back(Point_d(std::vector{-2,-2})); landmarks.push_back(Point_d(std::vector{-2, 0})); @@ -56,22 +69,41 @@ BOOST_AUTO_TEST_CASE(simple_witness_complex) { witnesses.push_back(Point_d(std::vector{ 1, 2})); witnesses.push_back(Point_d(std::vector{ 2,-1})); witnesses.push_back(Point_d(std::vector{ 2, 1})); - - WitnessComplex witness_complex(landmarks, - witnesses); - witness_complex.create_complex(complex, 0); + + Kd_tree landmark_tree(landmarks); + Nearest_landmark_table nearest_landmark_table; + for (auto w: witnesses) + nearest_landmark_table.push_back(landmark_tree.query_incremental_nearest_neighbors(w)); + + // Weak witness complex: Euclidean version + EuclideanWitnessComplex eucl_witness_complex(landmarks, + witnesses); + eucl_witness_complex.create_complex(complex, 0); std::cout << "complex.num_simplices() = " << complex.num_simplices() << std::endl; BOOST_CHECK(complex.num_simplices() == 24); - witness_complex.create_complex(relaxed_complex, 8.01); + eucl_witness_complex.create_complex(relaxed_complex, 8.01); std::cout << "relaxed_complex.num_simplices() = " << relaxed_complex.num_simplices() << std::endl; BOOST_CHECK(relaxed_complex.num_simplices() == 239); // The corner simplex {0,2,5,7} and its cofaces are missing. + // Weak witness complex: non-Euclidean version + WitnessComplex witness_complex(nearest_landmark_table); + witness_complex.create_complex(complex_ne, 0); + + std::cout << "complex.num_simplices() = " << complex_ne.num_simplices() << std::endl; + BOOST_CHECK(complex_ne.num_simplices() == 24); + + witness_complex.create_complex(relaxed_complex_ne, 8.01); + + std::cout << "relaxed_complex.num_simplices() = " << relaxed_complex_ne.num_simplices() << std::endl; + BOOST_CHECK(relaxed_complex_ne.num_simplices() == 239); + + - StrongWitnessComplex strong_witness_complex(landmarks, + EuclideanStrongWitnessComplex strong_witness_complex(landmarks, witnesses); strong_witness_complex.create_complex(strong_relaxed_complex, 9.1); -- cgit v1.2.3 From c0bd996842bd07fdc18a5df4c385936bd56118d5 Mon Sep 17 00:00:00 2001 From: skachano Date: Wed, 18 Jan 2017 09:47:11 +0000 Subject: Added a file + fixed the bug git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1944 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: dbc3cc5655ceb450c25be5b877f6bc4d2ce7a1fc --- .../include/gudhi/Witness_complex.h | 31 ++----------------- .../include/gudhi/Witness_complex/all_faces_in.h | 35 ++++++++++++++++++++++ 2 files changed, 38 insertions(+), 28 deletions(-) create mode 100644 src/Witness_complex/include/gudhi/Witness_complex/all_faces_in.h diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 22f0f590..73993900 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -25,6 +25,7 @@ #include #include +#include #include #include @@ -208,35 +209,9 @@ private: } return will_be_active; } - - /* \brief Check if the facets of the k-dimensional simplex witnessed - * by witness witness_id are already in the complex. - * inserted_vertex is the handle of the (k+1)-th vertex witnessed by witness_id - */ - template < typename SimplicialComplexForWitness > - bool all_faces_in(typeVectorVertex& simplex, - double* filtration_value, - SimplicialComplexForWitness& sc) - { - typedef typename SimplicialComplexForWitness::Simplex_handle Simplex_handle; - - typeVectorVertex facet; - for (typename typeVectorVertex::iterator not_it = simplex.begin(); not_it != simplex.end(); ++not_it) - { - facet.clear(); - for (typename typeVectorVertex::iterator it = simplex.begin(); it != simplex.end(); ++it) - if (it != not_it) - facet.push_back(*it); - Simplex_handle facet_sh = sc.find(facet); - if (facet_sh == sc.null_simplex()) - return false; - else if (sc.filtration(facet_sh) > *filtration_value) - *filtration_value = sc.filtration(facet_sh); - } - return true; - } -}; +}; + } // namespace witness_complex } // namespace Gudhi diff --git a/src/Witness_complex/include/gudhi/Witness_complex/all_faces_in.h b/src/Witness_complex/include/gudhi/Witness_complex/all_faces_in.h new file mode 100644 index 00000000..899022f8 --- /dev/null +++ b/src/Witness_complex/include/gudhi/Witness_complex/all_faces_in.h @@ -0,0 +1,35 @@ +#ifndef ALL_FACES_IN_H_ +#define ALL_FACES_IN_H_ + +/* \brief Check if the facets of the k-dimensional simplex witnessed + * by witness witness_id are already in the complex. + * inserted_vertex is the handle of the (k+1)-th vertex witnessed by witness_id + */ +template < typename SimplicialComplexForWitness, + typename Simplex > + bool all_faces_in(Simplex& simplex, + double* filtration_value, + SimplicialComplexForWitness& sc) + { + typedef typename SimplicialComplexForWitness::Simplex_handle Simplex_handle; + + if (simplex.size() == 1) + return true; /* Add vertices unconditionally */ + + Simplex facet; + for (typename Simplex::iterator not_it = simplex.begin(); not_it != simplex.end(); ++not_it) + { + facet.clear(); + for (typename Simplex::iterator it = simplex.begin(); it != simplex.end(); ++it) + if (it != not_it) + facet.push_back(*it); + typename SimplicialComplexForWitness::Simplex_handle facet_sh = sc.find(facet); + if (facet_sh == sc.null_simplex()) + return false; + else if (sc.filtration(facet_sh) > *filtration_value) + *filtration_value = sc.filtration(facet_sh); + } + return true; + } + +#endif -- cgit v1.2.3 From eed110f1e5ec3842553051a421a76dd9d47877fe Mon Sep 17 00:00:00 2001 From: skachano Date: Wed, 18 Jan 2017 10:04:19 +0000 Subject: Added a file + fixed the bug git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1945 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: a5acd7e920dfba1857ed1b71bfc1b33e5522cfc3 --- .../include/gudhi/Strong_witness_complex.h | 65 +++++----------------- .../include/gudhi/Witness_complex.h | 1 - .../test/test_simple_witness_complex.cpp | 26 +++++++-- 3 files changed, 36 insertions(+), 56 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index 3bb39c61..164d8ffe 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -53,37 +53,21 @@ namespace witness_complex { * href="http://doc.cgal.org/latest/Kernel_23/classCGAL_1_1Dynamic__dimension__tag.html">CGAL::Dynamic_dimension_tag * if you don't. */ -template< class Kernel_ > +template< class Nearest_landmark_table_ > class Strong_witness_complex { private: - typedef Kernel_ K; - typedef typename K::Point_d Point_d; - typedef typename K::FT FT; - typedef std::vector Point_range; - typedef gss::Kd_tree_search Kd_tree; - typedef typename Kd_tree::INS_range Nearest_landmark_range; - typedef typename std::vector Nearest_landmark_table; - typedef typename Nearest_landmark_range::iterator Nearest_landmark_row_iterator; + typedef typename Nearest_landmark_table_::value_type Nearest_landmark_range; + typedef std::size_t Witness_id; + typedef std::size_t Landmark_id; + typedef std::pair Id_distance_pair; + typedef Active_witness ActiveWitness; + typedef std::list< ActiveWitness > ActiveWitnessList; + typedef std::vector< Landmark_id > typeVectorVertex; - typedef std::vector< double > Point_t; - typedef std::vector< Point_t > Point_Vector; - - typedef FT Filtration_value; - - - typedef std::size_t Witness_id; - typedef typename Nearest_landmark_range::Point_with_transformed_distance Id_distance_pair; - typedef typename Id_distance_pair::first_type Landmark_id; - typedef Active_witness ActiveWitness; - typedef std::list< ActiveWitness > ActiveWitnessList; - typedef std::vector< Landmark_id > typeVectorVertex; - typedef std::pair< typeVectorVertex, Filtration_value> typeSimplex; - typedef Landmark_id Vertex_handle; private: - Point_range witnesses_, landmarks_; - Kd_tree landmark_tree_; + Nearest_landmark_table_& nearest_landmark_table_; public: ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////// @@ -98,22 +82,10 @@ private: * table internally, as well as witnesses from the range 'witnesses'. * Both ranges should have value_type Kernel_::Point_d. */ - template< typename LandmarkRange, - typename WitnessRange > - Strong_witness_complex(const LandmarkRange & landmarks, - const WitnessRange & witnesses) - : witnesses_(witnesses), landmarks_(landmarks), landmark_tree_(landmarks_) + Strong_witness_complex(Nearest_landmark_table_ & nearest_landmark_table) + : nearest_landmark_table_(nearest_landmark_table) { } - - - /** \brief Returns the point corresponding to the given vertex. - */ - template - Point_d get_point( Vertex_handle vertex ) const - { - return landmarks_[vertex]; - } /** \brief Outputs the strong witness complex of relaxation 'max_alpha_square' * in a simplicial complex data structure. @@ -126,10 +98,9 @@ private: */ template < typename SimplicialComplexForWitness > bool create_complex(SimplicialComplexForWitness& complex, - FT max_alpha_square, + double max_alpha_square, Landmark_id limit_dimension = std::numeric_limits::max()-1) { - std::size_t nbL = landmarks_.size(); Landmark_id complex_dim = 0; if (complex.num_vertices() > 0) { std::cerr << "Strong witness complex cannot create complex - complex is not empty.\n"; @@ -143,14 +114,8 @@ private: std::cerr << "Strong witness complex cannot create complex - limit dimension must be non-negative.\n"; return false; } - typeVectorVertex vv; - for (unsigned i = 0; i != nbL; ++i) { - // initial fill of 0-dimensional simplices - vv = {i}; - complex.insert_simplex(vv, Filtration_value(0.0)); - } - for (auto w: witnesses_) { - ActiveWitness aw(landmark_tree_.query_incremental_nearest_neighbors(w)); + for (auto w: nearest_landmark_table_) { + ActiveWitness aw(w); typeVectorVertex simplex; typename ActiveWitness::iterator aw_it = aw.begin(); float lim_dist2 = aw.begin()->second + max_alpha_square; @@ -186,7 +151,7 @@ private: typeVectorVertex& vertices, typename typeVectorVertex::iterator curr_it, typename ActiveWitness::iterator aw_it, - FT filtration_value, + double filtration_value, typeVectorVertex& simplex, SimplicialComplexForWitness& sc) { diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 73993900..2cd7a178 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -58,7 +58,6 @@ private: typedef Active_witness ActiveWitness; typedef std::list< ActiveWitness > ActiveWitnessList; typedef std::vector< Landmark_id > typeVectorVertex; - typedef std::pair< typeVectorVertex, Filtration_value> typeSimplex; typedef Landmark_id Vertex_handle; diff --git a/src/Witness_complex/test/test_simple_witness_complex.cpp b/src/Witness_complex/test/test_simple_witness_complex.cpp index c50e829a..2d4134f4 100644 --- a/src/Witness_complex/test/test_simple_witness_complex.cpp +++ b/src/Witness_complex/test/test_simple_witness_complex.cpp @@ -102,17 +102,33 @@ BOOST_AUTO_TEST_CASE(simple_witness_complex) { BOOST_CHECK(relaxed_complex_ne.num_simplices() == 239); - - EuclideanStrongWitnessComplex strong_witness_complex(landmarks, - witnesses); + // Strong complex : Euclidean version + EuclideanStrongWitnessComplex eucl_strong_witness_complex(landmarks, + witnesses); - strong_witness_complex.create_complex(strong_relaxed_complex, 9.1); - strong_witness_complex.create_complex(strong_relaxed_complex2, 9.1, 2); + eucl_strong_witness_complex.create_complex(strong_relaxed_complex, 9.1); + eucl_strong_witness_complex.create_complex(strong_relaxed_complex2, 9.1, 2); std::cout << "strong_relaxed_complex.num_simplices() = " << strong_relaxed_complex.num_simplices() << std::endl; BOOST_CHECK(strong_relaxed_complex.num_simplices() == 239); std::cout << "strong_relaxed_complex2.num_simplices() = " << strong_relaxed_complex2.num_simplices() << std::endl; BOOST_CHECK(strong_relaxed_complex2.num_simplices() == 92); + + + // Strong complex : non-Euclidean version + EuclideanStrongWitnessComplex strong_witness_complex(landmarks, + witnesses); + + strong_witness_complex.create_complex(strong_relaxed_complex_ne, 9.1); + strong_witness_complex.create_complex(strong_relaxed_complex2_ne, 9.1, 2); + + std::cout << "strong_relaxed_complex.num_simplices() = " << strong_relaxed_complex_ne.num_simplices() << std::endl; + BOOST_CHECK(strong_relaxed_complex_ne.num_simplices() == 239); + + std::cout << "strong_relaxed_complex2.num_simplices() = " << strong_relaxed_complex2_ne.num_simplices() << std::endl; + BOOST_CHECK(strong_relaxed_complex2_ne.num_simplices() == 92); + + // 8 vertices, 28 edges, 56 triangles } -- cgit v1.2.3 From 6b7a6c4ab5e643393ac9ef9ccec25d9d9afac822 Mon Sep 17 00:00:00 2001 From: skachano Date: Wed, 18 Jan 2017 10:21:00 +0000 Subject: Fixed doc for non-Euclidean complexes. Concept is left git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1946 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 949925ad85a74418a53bff1c934ce2f7669c483e --- .../include/gudhi/Strong_witness_complex.h | 17 ++++------------- src/Witness_complex/include/gudhi/Witness_complex.h | 12 ++++-------- .../include/gudhi/Witness_complex/all_faces_in.h | 2 +- 3 files changed, 9 insertions(+), 22 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index 164d8ffe..20f9da8d 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -40,18 +40,10 @@ namespace witness_complex { /** * \private * \class Strong_witness_complex - * \brief Constructs strong witness complex for the given sets of witnesses and landmarks. + * \brief Constructs strong witness complex for a given table of nearest landmarks with respect to witnesses. * \ingroup witness_complex * - * \tparam Kernel_ requires a CGAL::Epick_d class, which - * can be static if you know the ambiant dimension at compile-time, or dynamic if you don't. - * \tparam DimensionTag can be either Dimension_tag - * if you know the intrinsic dimension at compile-time, - * or CGAL::Dynamic_dimension_tag - * if you don't. + * \tparam Nearest_landmark_table_ needs to be a range of a model of NearestLandmarkRange concept. */ template< class Nearest_landmark_table_ > class Strong_witness_complex { @@ -78,9 +70,8 @@ private: /** * \brief Initializes member variables before constructing simplicial complex. - * \details Records landmarks from the range 'landmarks' into a - * table internally, as well as witnesses from the range 'witnesses'. - * Both ranges should have value_type Kernel_::Point_d. + * \details Records nearest landmark table. + * @param[in] nearest_landmark_table should be a range of a model of NearestLandmarkRange concept. */ Strong_witness_complex(Nearest_landmark_table_ & nearest_landmark_table) : nearest_landmark_table_(nearest_landmark_table) diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 2cd7a178..70d51677 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -41,12 +41,10 @@ namespace witness_complex { /** * \private * \class Witness_complex - * \brief Constructs (weak) witness complex for the given sets of witnesses and landmarks. + * \brief Constructs (weak) witness complex for a given table of nearest landmarks with respect to witnesses. * \ingroup witness_complex * - * \tparam Kernel_ requires a CGAL::Epick_d class, which - * can be static if you know the ambiant dimension at compile-time, or dynamic if you don't. + * \tparam Nearest_landmark_table_ needs to be a range of a model of NearestLandmarkRange concept. */ template< class Nearest_landmark_table_ > class Witness_complex { @@ -73,9 +71,8 @@ private: /** * \brief Initializes member variables before constructing simplicial complex. - * \details Records landmarks from the range 'landmarks' into a - * table internally, as well as witnesses from the range 'witnesses'. - * Both ranges should have value_type Kernel_::Point_d. + * \details Records nearest landmark table. + @param[in] nearest_landmark_table should be a range of a model of NearestLandmarkRange concept. */ Witness_complex(Nearest_landmark_table_ & nearest_landmark_table) @@ -98,7 +95,6 @@ private: double max_alpha_square, Landmark_id limit_dimension = std::numeric_limits::max()) { - // std::size_t nbL = landmarks_.size(); if (complex.num_vertices() > 0) { std::cerr << "Witness complex cannot create complex - complex is not empty.\n"; return false; diff --git a/src/Witness_complex/include/gudhi/Witness_complex/all_faces_in.h b/src/Witness_complex/include/gudhi/Witness_complex/all_faces_in.h index 899022f8..b69719a3 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex/all_faces_in.h +++ b/src/Witness_complex/include/gudhi/Witness_complex/all_faces_in.h @@ -23,7 +23,7 @@ template < typename SimplicialComplexForWitness, for (typename Simplex::iterator it = simplex.begin(); it != simplex.end(); ++it) if (it != not_it) facet.push_back(*it); - typename SimplicialComplexForWitness::Simplex_handle facet_sh = sc.find(facet); + Simplex_handle facet_sh = sc.find(facet); if (facet_sh == sc.null_simplex()) return false; else if (sc.filtration(facet_sh) > *filtration_value) -- cgit v1.2.3 From 9335a9dae7bfb76a7d6cb5e15f0975dcbb20f17e Mon Sep 17 00:00:00 2001 From: skachano Date: Wed, 18 Jan 2017 10:52:01 +0000 Subject: Fixed thedocumentation. Even without an additional concept. git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1947 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 3efb3fc30ca069b720fe1134ab3d64d284feb7ad --- src/Witness_complex/concept/Simplicial_complex_for_witness.h | 2 +- src/Witness_complex/doc/Witness_complex_doc.h | 2 ++ src/Witness_complex/include/gudhi/Strong_witness_complex.h | 9 ++++++--- src/Witness_complex/include/gudhi/Witness_complex.h | 8 ++++++-- 4 files changed, 15 insertions(+), 6 deletions(-) diff --git a/src/Witness_complex/concept/Simplicial_complex_for_witness.h b/src/Witness_complex/concept/Simplicial_complex_for_witness.h index b47de809..df294f19 100644 --- a/src/Witness_complex/concept/Simplicial_complex_for_witness.h +++ b/src/Witness_complex/concept/Simplicial_complex_for_witness.h @@ -27,7 +27,7 @@ namespace Gudhi { namespace witness_complex { -/** \brief The concept Simplicial_Complex describes the requirements +/** \brief The concept SimplicialComplexForWitness describes the requirements * for a type to implement a simplicial complex, * used for example to build a Witness_complex. */ diff --git a/src/Witness_complex/doc/Witness_complex_doc.h b/src/Witness_complex/doc/Witness_complex_doc.h index fa45e359..1ed3fd4e 100644 --- a/src/Witness_complex/doc/Witness_complex_doc.h +++ b/src/Witness_complex/doc/Witness_complex_doc.h @@ -44,7 +44,9 @@ The two complexes described above are implemented in the corresponding classes - Gudhi::witness_complex::Witness_complex + - Gudhi::witness_complex::Euclidean_witness_complex - Gudhi::witness_complex::Strong_witness_complex + - Gudhi::witness_complex::Euclidean_strong_witness_complex The construction of both of them follow the same scheme: 1. Construct a search tree on landmarks (for that Gudhi::spatial_searching::Kd_tree_search is used internally). diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index 20f9da8d..abfc879c 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -43,7 +43,9 @@ namespace witness_complex { * \brief Constructs strong witness complex for a given table of nearest landmarks with respect to witnesses. * \ingroup witness_complex * - * \tparam Nearest_landmark_table_ needs to be a range of a model of NearestLandmarkRange concept. + * \tparam Nearest_landmark_table_ needs to be a range of a range of nearest landmarks. + * The range of nearest landmarks should admit a member type 'iterator'. The dereference type + * of the nearest landmark range iterator needs to be 'std::pair'. */ template< class Nearest_landmark_table_ > class Strong_witness_complex { @@ -71,8 +73,9 @@ private: /** * \brief Initializes member variables before constructing simplicial complex. * \details Records nearest landmark table. - * @param[in] nearest_landmark_table should be a range of a model of NearestLandmarkRange concept. - */ + * @param[in] nearest_landmark_table needs to be a range of a range of nearest landmarks. + * The range of nearest landmarks should admit a member type 'iterator'. The dereference type + * of the nearest landmark range iterator needs to be 'std::pair'. */ Strong_witness_complex(Nearest_landmark_table_ & nearest_landmark_table) : nearest_landmark_table_(nearest_landmark_table) { diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 70d51677..3305a8e2 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -44,7 +44,9 @@ namespace witness_complex { * \brief Constructs (weak) witness complex for a given table of nearest landmarks with respect to witnesses. * \ingroup witness_complex * - * \tparam Nearest_landmark_table_ needs to be a range of a model of NearestLandmarkRange concept. + * \tparam Nearest_landmark_table_ needs to be a range of a range of nearest landmarks. + * The range of nearest landmarks should admit a member type 'iterator'. The dereference type + * of the nearest landmark range iterator needs to be 'std::pair'. */ template< class Nearest_landmark_table_ > class Witness_complex { @@ -72,7 +74,9 @@ private: /** * \brief Initializes member variables before constructing simplicial complex. * \details Records nearest landmark table. - @param[in] nearest_landmark_table should be a range of a model of NearestLandmarkRange concept. + * @param[in] nearest_landmark_table needs to be a range of a range of nearest landmarks. + * The range of nearest landmarks should admit a member type 'iterator'. The dereference type + * of the nearest landmark range iterator needs to be 'std::pair'. */ Witness_complex(Nearest_landmark_table_ & nearest_landmark_table) -- cgit v1.2.3 From 82132d5dce57c85c183d62d423f26771f7775440 Mon Sep 17 00:00:00 2001 From: skachano Date: Wed, 18 Jan 2017 22:03:13 +0000 Subject: Changed some examples git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1955 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: ce1d18aa2eceb5c3be7eaf4b420081ec16875ea7 --- src/Witness_complex/example/example_strong_witness_persistence.cpp | 4 ++-- src/Witness_complex/example/example_witness_complex_off.cpp | 4 ++-- src/Witness_complex/example/example_witness_complex_persistence.cpp | 4 ++-- src/Witness_complex/example/example_witness_complex_sphere.cpp | 4 ++-- 4 files changed, 8 insertions(+), 8 deletions(-) diff --git a/src/Witness_complex/example/example_strong_witness_persistence.cpp b/src/Witness_complex/example/example_strong_witness_persistence.cpp index c81cafd1..d42603aa 100644 --- a/src/Witness_complex/example/example_strong_witness_persistence.cpp +++ b/src/Witness_complex/example/example_strong_witness_persistence.cpp @@ -1,5 +1,5 @@ #include -#include +#include #include #include #include @@ -19,7 +19,7 @@ typedef CGAL::Epick_d K; typedef typename K::Point_d Point_d; typedef typename std::vector Point_vector; -typedef typename Gudhi::witness_complex::Strong_witness_complex Strong_witness_complex; +typedef typename Gudhi::witness_complex::Euclidean_strong_witness_complex Strong_witness_complex; typedef Gudhi::Simplex_tree<> SimplexTree; typedef int Vertex_handle; diff --git a/src/Witness_complex/example/example_witness_complex_off.cpp b/src/Witness_complex/example/example_witness_complex_off.cpp index c057c118..751d2d4c 100644 --- a/src/Witness_complex/example/example_witness_complex_off.cpp +++ b/src/Witness_complex/example/example_witness_complex_off.cpp @@ -2,7 +2,7 @@ #include #include -#include +#include #include #include @@ -16,7 +16,7 @@ typedef CGAL::Epick_d K; typedef typename K::Point_d Point_d; -typedef typename Gudhi::witness_complex::Witness_complex Witness_complex; +typedef typename Gudhi::witness_complex::Euclidean_witness_complex Witness_complex; typedef std::vector< Vertex_handle > typeVectorVertex; typedef std::vector< Point_d > Point_vector; diff --git a/src/Witness_complex/example/example_witness_complex_persistence.cpp b/src/Witness_complex/example/example_witness_complex_persistence.cpp index 0350b9cc..fbb18cb4 100644 --- a/src/Witness_complex/example/example_witness_complex_persistence.cpp +++ b/src/Witness_complex/example/example_witness_complex_persistence.cpp @@ -1,5 +1,5 @@ #include -#include +#include #include #include #include @@ -19,7 +19,7 @@ typedef CGAL::Epick_d K; typedef typename K::Point_d Point_d; typedef typename std::vector Point_vector; -typedef typename Gudhi::witness_complex::Witness_complex Witness_complex; +typedef typename Gudhi::witness_complex::Euclidean_witness_complex Witness_complex; typedef Gudhi::Simplex_tree<> SimplexTree; typedef int Vertex_handle; diff --git a/src/Witness_complex/example/example_witness_complex_sphere.cpp b/src/Witness_complex/example/example_witness_complex_sphere.cpp index 42fb9f8d..90e0339a 100644 --- a/src/Witness_complex/example/example_witness_complex_sphere.cpp +++ b/src/Witness_complex/example/example_witness_complex_sphere.cpp @@ -5,7 +5,7 @@ #include #include -#include +#include #include #include @@ -32,7 +32,7 @@ void write_data(Data_range & data, std::string filename) { } int main(int argc, char * const argv[]) { - typedef Gudhi::witness_complex::Witness_complex> Witness_complex; + typedef Gudhi::witness_complex::Euclidean_witness_complex> Witness_complex; if (argc != 2) { std::cerr << "Usage: " << argv[0] -- cgit v1.2.3 From f0fe875e5046dc31ed8cea9771500a5d0972c118 Mon Sep 17 00:00:00 2001 From: skachano Date: Thu, 19 Jan 2017 12:17:03 +0000 Subject: Fixed gss namespace git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1957 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: a2d69f25deac0ee99f2b92abeaef7fc6026e11cb --- src/Witness_complex/doc/Witness_complex_doc.h | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/src/Witness_complex/doc/Witness_complex_doc.h b/src/Witness_complex/doc/Witness_complex_doc.h index 1ed3fd4e..8d99b381 100644 --- a/src/Witness_complex/doc/Witness_complex_doc.h +++ b/src/Witness_complex/doc/Witness_complex_doc.h @@ -48,11 +48,13 @@ - Gudhi::witness_complex::Strong_witness_complex - Gudhi::witness_complex::Euclidean_strong_witness_complex - The construction of both of them follow the same scheme: + The construction of the Euclidean versions of complexes follow the same scheme: 1. Construct a search tree on landmarks (for that Gudhi::spatial_searching::Kd_tree_search is used internally). - 2. Construct lists of nearest landmarks for each witness (special internal structure Gudhi::witness_complex::Active_witness is used internally). + 2. Construct lists of nearest landmarks for each witness (special structure Gudhi::witness_complex::Active_witness is used internally). 3. Construct the witness complex for nearest landmark lists. + In the non-Euclidean classes, the lists of nearest landmarks are supposed to be given as input. + The constructors take on the step 1, while the function 'create_complex' executes the steps 2 and 3. \section witnessexample1 Example 1: Constructing weak relaxed witness complex from an off file -- cgit v1.2.3 From ccb6ed4f7b2de208ba55b4c2eb06185c368f0b1c Mon Sep 17 00:00:00 2001 From: skachano Date: Thu, 19 Jan 2017 13:29:55 +0000 Subject: Small change in sphere example before merge with trunk git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1959 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: cc687804569e64e8ddf872eac1cd6be22cf10fcc --- src/Witness_complex/example/example_witness_complex_sphere.cpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/Witness_complex/example/example_witness_complex_sphere.cpp b/src/Witness_complex/example/example_witness_complex_sphere.cpp index 90e0339a..1ea9408c 100644 --- a/src/Witness_complex/example/example_witness_complex_sphere.cpp +++ b/src/Witness_complex/example/example_witness_complex_sphere.cpp @@ -45,7 +45,7 @@ int main(int argc, char * const argv[]) { std::vector< std::pair > l_time; - // Read the point file + // Generate points for (int nbP = 500; nbP < 10000; nbP += 500) { // Construct the Simplex Tree Gudhi::Simplex_tree<> simplex_tree; -- cgit v1.2.3 From 49d726423c3f270f542ca93d43387e0dbcdd0ca9 Mon Sep 17 00:00:00 2001 From: skachano Date: Thu, 19 Jan 2017 17:29:29 +0000 Subject: Added an example with nearest landmark table. It is buggy. git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1966 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 63ec7e948686d1f8c43576bab5a892ad816ffed4 --- src/Witness_complex/example/CMakeLists.txt | 3 ++ .../example/example_nearest_landmark_table.cpp | 50 ++++++++++++++++++++++ .../gudhi/Active_witness/Active_witness_iterator.h | 4 +- 3 files changed, 56 insertions(+), 1 deletion(-) create mode 100644 src/Witness_complex/example/example_nearest_landmark_table.cpp diff --git a/src/Witness_complex/example/CMakeLists.txt b/src/Witness_complex/example/CMakeLists.txt index 848239b5..2bae07d9 100644 --- a/src/Witness_complex/example/CMakeLists.txt +++ b/src/Witness_complex/example/CMakeLists.txt @@ -13,9 +13,12 @@ if(CGAL_FOUND) add_executable ( Witness_complex_example_strong_witness_persistence example_strong_witness_persistence.cpp ) target_link_libraries(Witness_complex_example_strong_witness_persistence ${Boost_PROGRAM_OPTIONS_LIBRARY}) + + add_executable ( Witness_complex_example_nearest_landmark_table example_nearest_landmark_table.cpp ) if (TBB_FOUND) target_link_libraries(Witness_complex_example_witness_persistence ${TBB_LIBRARIES}) target_link_libraries(Witness_complex_example_strong_witness_persistence ${TBB_LIBRARIES}) + target_link_libraries(Witness_complex_example_nearest_landmark_table ${TBB_LIBRARIES}) endif() add_test(Witness_complex_test_torus_persistence diff --git a/src/Witness_complex/example/example_nearest_landmark_table.cpp b/src/Witness_complex/example/example_nearest_landmark_table.cpp new file mode 100644 index 00000000..00ec17e0 --- /dev/null +++ b/src/Witness_complex/example/example_nearest_landmark_table.cpp @@ -0,0 +1,50 @@ +#define BOOST_PARAMETER_MAX_ARITY 12 + + +#include +#include + +#include +#include +#include +#include + +#include + +#include +#include +#include +#include +#include +#include + +int main(int argc, char * const argv[]) { + typedef std::vector> Nearest_landmark_range; + typedef std::vector Nearest_landmark_table; + typedef Gudhi::witness_complex::Witness_complex Witness_complex; + + Gudhi::Simplex_tree<> simplex_tree; + Nearest_landmark_table nlt; + + // Example contains 10 witnesses and 5 landmarks + Nearest_landmark_range w0 = {std::make_pair(0,0), std::make_pair(1,1), std::make_pair(2,2), std::make_pair(3,3), std::make_pair(4,4)}; nlt.push_back(w0); + Nearest_landmark_range w1 = {std::make_pair(1,0), std::make_pair(2,1), std::make_pair(3,2), std::make_pair(4,3), std::make_pair(0,4)}; nlt.push_back(w1); + Nearest_landmark_range w2 = {std::make_pair(2,0), std::make_pair(3,1), std::make_pair(4,2), std::make_pair(0,3), std::make_pair(1,4)}; nlt.push_back(w2); + Nearest_landmark_range w3 = {std::make_pair(3,0), std::make_pair(4,1), std::make_pair(0,2), std::make_pair(1,3), std::make_pair(2,4)}; nlt.push_back(w3); + Nearest_landmark_range w4 = {std::make_pair(4,0), std::make_pair(0,1), std::make_pair(1,2), std::make_pair(2,3), std::make_pair(3,4)}; nlt.push_back(w4); + Nearest_landmark_range x0 = {std::make_pair(0,0), std::make_pair(4,1), std::make_pair(3,2), std::make_pair(2,3), std::make_pair(1,4)}; nlt.push_back(x0); + Nearest_landmark_range x1 = {std::make_pair(1,0), std::make_pair(0,1), std::make_pair(4,2), std::make_pair(3,3), std::make_pair(2,4)}; nlt.push_back(x1); + Nearest_landmark_range x2 = {std::make_pair(2,0), std::make_pair(1,1), std::make_pair(0,2), std::make_pair(4,3), std::make_pair(3,4)}; nlt.push_back(x2); + Nearest_landmark_range x3 = {std::make_pair(3,0), std::make_pair(2,1), std::make_pair(1,2), std::make_pair(0,3), std::make_pair(4,4)}; nlt.push_back(x3); + Nearest_landmark_range x4 = {std::make_pair(4,0), std::make_pair(3,1), std::make_pair(2,2), std::make_pair(1,3), std::make_pair(0,4)}; nlt.push_back(x4); + + Witness_complex witness_complex(nlt); + witness_complex.create_complex(simplex_tree, 4.1); + + Gudhi::persistent_cohomology::Persistent_cohomology, Gudhi::persistent_cohomology::Field_Zp > pcoh(simplex_tree); + // initializes the coefficient field for homology + pcoh.init_coefficients(11); + + pcoh.compute_persistent_cohomology(-0.1); + pcoh.output_diagram(); +} diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h index 38e39f79..5b040914 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h @@ -90,8 +90,10 @@ private : is_end_ = true; return; } - else + else { + //aw_->iterator_last_ = ++(aw_->iterator_last_); aw_->nearest_landmark_table_.push_back(*(aw_->iterator_last_)); + } } lh_++; } -- cgit v1.2.3 From db1398bcf173f372fc3ef7a410e4e72b0192f8cc Mon Sep 17 00:00:00 2001 From: skachano Date: Fri, 20 Jan 2017 15:24:36 +0000 Subject: non-Euclidean example works, but the test not anymore git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1975 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 251638e6417f1059529d57a8a87364a17cf9f5a2 --- src/Witness_complex/example/example_nearest_landmark_table.cpp | 10 ++++------ .../include/gudhi/Active_witness/Active_witness.h | 2 +- .../include/gudhi/Active_witness/Active_witness_iterator.h | 5 +++-- src/Witness_complex/include/gudhi/Witness_complex.h | 2 +- src/Witness_complex/test/test_simple_witness_complex.cpp | 4 ++-- 5 files changed, 11 insertions(+), 12 deletions(-) diff --git a/src/Witness_complex/example/example_nearest_landmark_table.cpp b/src/Witness_complex/example/example_nearest_landmark_table.cpp index 00ec17e0..becf74e7 100644 --- a/src/Witness_complex/example/example_nearest_landmark_table.cpp +++ b/src/Witness_complex/example/example_nearest_landmark_table.cpp @@ -17,6 +17,7 @@ #include #include #include +#include int main(int argc, char * const argv[]) { typedef std::vector> Nearest_landmark_range; @@ -26,21 +27,18 @@ int main(int argc, char * const argv[]) { Gudhi::Simplex_tree<> simplex_tree; Nearest_landmark_table nlt; - // Example contains 10 witnesses and 5 landmarks + // Example contains 5 witnesses and 5 landmarks Nearest_landmark_range w0 = {std::make_pair(0,0), std::make_pair(1,1), std::make_pair(2,2), std::make_pair(3,3), std::make_pair(4,4)}; nlt.push_back(w0); Nearest_landmark_range w1 = {std::make_pair(1,0), std::make_pair(2,1), std::make_pair(3,2), std::make_pair(4,3), std::make_pair(0,4)}; nlt.push_back(w1); Nearest_landmark_range w2 = {std::make_pair(2,0), std::make_pair(3,1), std::make_pair(4,2), std::make_pair(0,3), std::make_pair(1,4)}; nlt.push_back(w2); Nearest_landmark_range w3 = {std::make_pair(3,0), std::make_pair(4,1), std::make_pair(0,2), std::make_pair(1,3), std::make_pair(2,4)}; nlt.push_back(w3); Nearest_landmark_range w4 = {std::make_pair(4,0), std::make_pair(0,1), std::make_pair(1,2), std::make_pair(2,3), std::make_pair(3,4)}; nlt.push_back(w4); - Nearest_landmark_range x0 = {std::make_pair(0,0), std::make_pair(4,1), std::make_pair(3,2), std::make_pair(2,3), std::make_pair(1,4)}; nlt.push_back(x0); - Nearest_landmark_range x1 = {std::make_pair(1,0), std::make_pair(0,1), std::make_pair(4,2), std::make_pair(3,3), std::make_pair(2,4)}; nlt.push_back(x1); - Nearest_landmark_range x2 = {std::make_pair(2,0), std::make_pair(1,1), std::make_pair(0,2), std::make_pair(4,3), std::make_pair(3,4)}; nlt.push_back(x2); - Nearest_landmark_range x3 = {std::make_pair(3,0), std::make_pair(2,1), std::make_pair(1,2), std::make_pair(0,3), std::make_pair(4,4)}; nlt.push_back(x3); - Nearest_landmark_range x4 = {std::make_pair(4,0), std::make_pair(3,1), std::make_pair(2,2), std::make_pair(1,3), std::make_pair(0,4)}; nlt.push_back(x4); Witness_complex witness_complex(nlt); witness_complex.create_complex(simplex_tree, 4.1); + std::cout << "Number of simplices: " << simplex_tree.num_simplices() << std::endl; + Gudhi::persistent_cohomology::Persistent_cohomology, Gudhi::persistent_cohomology::Field_Zp > pcoh(simplex_tree); // initializes the coefficient field for homology pcoh.init_coefficients(11); diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h index debbd286..c3edc0b7 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h @@ -50,7 +50,7 @@ public: INS_iterator iterator_end_; Active_witness(INS_range search_range) - : search_range_(search_range), iterator_last_(search_range.begin()), iterator_end_(search_range.end()) + : search_range_(search_range), iterator_last_(search_range_.begin()), iterator_end_(search_range_.end()) { nearest_landmark_table_.push_back(*iterator_last_); } diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h index 5b040914..b0a88662 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h @@ -86,12 +86,13 @@ private : // if the id of the current landmark is the same as the last one if (lh_->first == aw_->iterator_last_->first) { // if the next iterator is end, lh_it = end pointer - if (++(aw_->iterator_last_) == aw_->iterator_end_) { + INS_iterator next_it = aw_->iterator_last_; next_it++; + if (next_it == aw_->iterator_end_) { is_end_ = true; return; } else { - //aw_->iterator_last_ = ++(aw_->iterator_last_); + ++(aw_->iterator_last_); aw_->nearest_landmark_table_.push_back(*(aw_->iterator_last_)); } } diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 3305a8e2..576b8b0d 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -62,7 +62,7 @@ private: typedef Landmark_id Vertex_handle; private: - Nearest_landmark_table_& nearest_landmark_table_; + Nearest_landmark_table_ nearest_landmark_table_; public: ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////// diff --git a/src/Witness_complex/test/test_simple_witness_complex.cpp b/src/Witness_complex/test/test_simple_witness_complex.cpp index 2d4134f4..b47ebe4d 100644 --- a/src/Witness_complex/test/test_simple_witness_complex.cpp +++ b/src/Witness_complex/test/test_simple_witness_complex.cpp @@ -31,6 +31,7 @@ typedef Gudhi::spatial_searching::Kd_tree_search Kd_tree; typedef Kd_tree::INS_range Nearest_landmark_range; typedef std::vector Nearest_landmark_table; typedef Gudhi::witness_complex::Witness_complex WitnessComplex; +typedef Gudhi::witness_complex::Strong_witness_complex StrongWitnessComplex; /* All landmarks and witnesses are taken on the grid in the following manner. @@ -117,8 +118,7 @@ BOOST_AUTO_TEST_CASE(simple_witness_complex) { // Strong complex : non-Euclidean version - EuclideanStrongWitnessComplex strong_witness_complex(landmarks, - witnesses); + StrongWitnessComplex strong_witness_complex(nearest_landmark_table); strong_witness_complex.create_complex(strong_relaxed_complex_ne, 9.1); strong_witness_complex.create_complex(strong_relaxed_complex2_ne, 9.1, 2); -- cgit v1.2.3 From ecc6aaf89753345a472aac89b73a2deff10cc26c Mon Sep 17 00:00:00 2001 From: skachano Date: Fri, 20 Jan 2017 17:10:45 +0000 Subject: Redesigned the whole Active_witness_iterator, still doesn't work git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1978 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 732862e9c29fc326b8ca4f5e6bb5f14945b0d924 --- .../include/gudhi/Active_witness/Active_witness.h | 6 ++-- .../gudhi/Active_witness/Active_witness_iterator.h | 33 ++++++++++++++-------- 2 files changed, 24 insertions(+), 15 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h index c3edc0b7..4c8ded61 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h @@ -46,13 +46,13 @@ public: Table nearest_landmark_table_; INS_range search_range_; - INS_iterator iterator_last_; + INS_iterator iterator_next_; INS_iterator iterator_end_; Active_witness(INS_range search_range) - : search_range_(search_range), iterator_last_(search_range_.begin()), iterator_end_(search_range_.end()) + : search_range_(search_range), iterator_next_(++(search_range_.begin())), iterator_end_(search_range_.end()) { - nearest_landmark_table_.push_back(*iterator_last_); + //nearest_landmark_table_.push_back(*iterator_last_); } iterator begin() diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h index b0a88662..79d7fa87 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h @@ -63,8 +63,20 @@ public: } Active_witness_iterator(Active_witness* aw, Pair_iterator lh) - : aw_(aw), lh_(lh), is_end_(false) - { + : aw_(aw), lh_(lh) + { + is_end_ = false; + if (lh_ == aw_->nearest_landmark_table_.end()) { + if (aw_->iterator_next_ == aw_->iterator_end_) + is_end_ = true; + else { + aw_->nearest_landmark_table_.push_back(*aw_->iterator_next_); + lh_ = --aw_->nearest_landmark_table_.end(); + ++(aw_->iterator_next_); + } + } + else + lh_++; } private : @@ -84,21 +96,18 @@ private : // the neighbor search can't be at the end iterator of a list GUDHI_CHECK(!is_end_ && lh_ != aw_->nearest_landmark_table_.end(), std::logic_error("Wrong active witness increment.")); // if the id of the current landmark is the same as the last one - if (lh_->first == aw_->iterator_last_->first) { - // if the next iterator is end, lh_it = end pointer - INS_iterator next_it = aw_->iterator_last_; next_it++; - if (next_it == aw_->iterator_end_) { + + lh_++; + if (lh_ == aw_->nearest_landmark_table_.end()) { + if (aw_->iterator_next_ == aw_->iterator_end_) is_end_ = true; - return; - } else { - ++(aw_->iterator_last_); - aw_->nearest_landmark_table_.push_back(*(aw_->iterator_last_)); + aw_->nearest_landmark_table_.push_back(*aw_->iterator_next_); + lh_ = std::prev(aw_->nearest_landmark_table_.end()); + ++(aw_->iterator_next_); } } - lh_++; } - }; } -- cgit v1.2.3 From 249dfd3cc43598cb37b005442a636be4bf0dc204 Mon Sep 17 00:00:00 2001 From: skachano Date: Fri, 20 Jan 2017 17:31:11 +0000 Subject: The new example and the old test work git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1979 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 605676bce000e8e41172382a240a4f27d43da92d --- src/Witness_complex/include/gudhi/Active_witness/Active_witness.h | 2 +- .../include/gudhi/Active_witness/Active_witness_iterator.h | 2 -- 2 files changed, 1 insertion(+), 3 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h index 4c8ded61..f64701fa 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h @@ -50,7 +50,7 @@ public: INS_iterator iterator_end_; Active_witness(INS_range search_range) - : search_range_(search_range), iterator_next_(++(search_range_.begin())), iterator_end_(search_range_.end()) + : search_range_(search_range), iterator_next_(search_range_.begin()), iterator_end_(search_range_.end()) { //nearest_landmark_table_.push_back(*iterator_last_); } diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h index 79d7fa87..c1d2091a 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h @@ -75,8 +75,6 @@ public: ++(aw_->iterator_next_); } } - else - lh_++; } private : -- cgit v1.2.3 From 53f243365ddc1653b776fe97ea8ba8493199dc14 Mon Sep 17 00:00:00 2001 From: skachano Date: Sat, 21 Jan 2017 11:00:43 +0000 Subject: Added all the consts git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1980 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 4651513288c5bf45fbdecd6b396779201b874f84 --- src/Witness_complex/include/gudhi/Active_witness/Active_witness.h | 2 +- .../include/gudhi/Active_witness/Active_witness_iterator.h | 2 +- src/Witness_complex/include/gudhi/Strong_witness_complex.h | 4 ++-- src/Witness_complex/include/gudhi/Witness_complex.h | 4 ++-- 4 files changed, 6 insertions(+), 6 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h index f64701fa..08762fb3 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h @@ -49,7 +49,7 @@ public: INS_iterator iterator_next_; INS_iterator iterator_end_; - Active_witness(INS_range search_range) + Active_witness(const INS_range& search_range) : search_range_(search_range), iterator_next_(search_range_.begin()), iterator_end_(search_range_.end()) { //nearest_landmark_table_.push_back(*iterator_last_); diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h index c1d2091a..d6ea6403 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h @@ -62,7 +62,7 @@ public: { } - Active_witness_iterator(Active_witness* aw, Pair_iterator lh) + Active_witness_iterator(Active_witness* aw, const Pair_iterator& lh) : aw_(aw), lh_(lh) { is_end_ = false; diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index abfc879c..87965b6e 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -93,7 +93,7 @@ private: template < typename SimplicialComplexForWitness > bool create_complex(SimplicialComplexForWitness& complex, double max_alpha_square, - Landmark_id limit_dimension = std::numeric_limits::max()-1) + Landmark_id limit_dimension = std::numeric_limits::max()-1) const { Landmark_id complex_dim = 0; if (complex.num_vertices() > 0) { @@ -147,7 +147,7 @@ private: typename ActiveWitness::iterator aw_it, double filtration_value, typeVectorVertex& simplex, - SimplicialComplexForWitness& sc) + SimplicialComplexForWitness& sc) const { if (dim > 0) while (curr_it != vertices.end()) { diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 576b8b0d..7a6ef9ed 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -97,7 +97,7 @@ private: template < typename SimplicialComplexForWitness > bool create_complex(SimplicialComplexForWitness& complex, double max_alpha_square, - Landmark_id limit_dimension = std::numeric_limits::max()) + Landmark_id limit_dimension = std::numeric_limits::max()) const { if (complex.num_vertices() > 0) { std::cerr << "Witness complex cannot create complex - complex is not empty.\n"; @@ -156,7 +156,7 @@ private: typename ActiveWitness::iterator curr_l, std::vector& simplex, SimplicialComplexForWitness& sc, - typename ActiveWitness::iterator end) + typename ActiveWitness::iterator end) const { if (curr_l == end) return false; -- cgit v1.2.3 From ab6c280bd1de67a533d5ed357c39d798c1cf30c3 Mon Sep 17 00:00:00 2001 From: skachano Date: Sat, 21 Jan 2017 11:02:41 +0000 Subject: Added the Euclidean files -_- git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1981 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: e7b06da298f5cf07658dc20302eb1da9a08b424c --- .../gudhi/Euclidean_strong_witness_complex.h | 208 ++++++++++++++++++ .../include/gudhi/Euclidean_witness_complex.h | 233 +++++++++++++++++++++ 2 files changed, 441 insertions(+) create mode 100644 src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h create mode 100644 src/Witness_complex/include/gudhi/Euclidean_witness_complex.h diff --git a/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h b/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h new file mode 100644 index 00000000..38fa5c22 --- /dev/null +++ b/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h @@ -0,0 +1,208 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2015 INRIA (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#ifndef EUCLIDEAN_STRONG_WITNESS_COMPLEX_H_ +#define EUCLIDEAN_STRONG_WITNESS_COMPLEX_H_ + +#include +#include +#include +#include + +#include +#include + +namespace Gudhi { + +namespace witness_complex { + +/** + * \private + * \class Euclidean_strong_witness_complex + * \brief Constructs strong witness complex for given sets of witnesses and landmarks in Euclidean space. + * \ingroup witness_complex + * + * \tparam Kernel_ requires a CGAL::Epick_d class. + */ +template< class Kernel_ > +class Euclidean_strong_witness_complex { +private: + typedef Kernel_ K; + typedef typename K::Point_d Point_d; + typedef typename K::FT FT; + typedef std::vector Point_range; + typedef Gudhi::spatial_searching::Kd_tree_search Kd_tree; + typedef typename Kd_tree::INS_range Nearest_landmark_range; + typedef typename std::vector Nearest_landmark_table; + typedef typename Nearest_landmark_range::iterator Nearest_landmark_row_iterator; + + typedef FT Filtration_value; + + + typedef std::size_t Witness_id; + typedef typename Nearest_landmark_range::Point_with_transformed_distance Id_distance_pair; + typedef typename Id_distance_pair::first_type Landmark_id; + typedef Active_witness ActiveWitness; + typedef std::list< ActiveWitness > ActiveWitnessList; + typedef std::vector< Landmark_id > typeVectorVertex; + typedef std::pair< typeVectorVertex, Filtration_value> typeSimplex; + + typedef Landmark_id Vertex_handle; + + private: + Point_range witnesses_, landmarks_; + Kd_tree landmark_tree_; + + public: + ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////// + /* @name Constructor + */ + + //@{ + + /** + * \brief Initializes member variables before constructing simplicial complex. + * \details Records landmarks from the range 'landmarks' into a + * table internally, as well as witnesses from the range 'witnesses'. + * Both ranges should have value_type Kernel_::Point_d. + */ + template< typename LandmarkRange, + typename WitnessRange > + Euclidean_strong_witness_complex(const LandmarkRange & landmarks, + const WitnessRange & witnesses) + : witnesses_(witnesses), landmarks_(landmarks), landmark_tree_(landmarks_) + { + } + + + /** \brief Returns the point corresponding to the given vertex. + */ + template + Point_d get_point( Vertex_handle vertex ) const + { + return landmarks_[vertex]; + } + + /** \brief Outputs the strong witness complex of relaxation 'max_alpha_square' + * in a simplicial complex data structure. + * \details The function returns true if the construction is successful and false otherwise. + * @param[out] complex Simplicial complex data structure, which is a model of + * SimplicialComplexForWitness concept. + * @param[in] max_alpha_square Maximal squared relaxation parameter. + * @param[in] limit_dimension Represents the maximal dimension of the simplicial complex + * (default value = no limit). + */ + template < typename SimplicialComplexForWitness > + bool create_complex(SimplicialComplexForWitness& complex, + FT max_alpha_square, + Landmark_id limit_dimension = std::numeric_limits::max()-1) + { + Landmark_id complex_dim = 0; + if (complex.num_vertices() > 0) { + std::cerr << "Euclidean strong witness complex cannot create complex - complex is not empty.\n"; + return false; + } + if (max_alpha_square < 0) { + std::cerr << "Euclidean strong witness complex cannot create complex - squared relaxation parameter must be non-negative.\n"; + return false; + } + if (limit_dimension < 0) { + std::cerr << "Euclidean strong witness complex cannot create complex - limit dimension must be non-negative.\n"; + return false; + } + for (auto w: witnesses_) { + ActiveWitness aw(landmark_tree_.query_incremental_nearest_neighbors(w)); + typeVectorVertex simplex; + typename ActiveWitness::iterator aw_it = aw.begin(); + float lim_dist2 = aw.begin()->second + max_alpha_square; + while ((Landmark_id)simplex.size() < limit_dimension + 1 && aw_it != aw.end() && aw_it->second < lim_dist2) { + simplex.push_back(aw_it->first); + complex.insert_simplex_and_subfaces(simplex, aw_it->second - aw.begin()->second); + aw_it++; + } + // continue inserting limD-faces of the following simplices + typeVectorVertex& vertices = simplex; //'simplex' now will be called vertices + while (aw_it != aw.end() && aw_it->second < lim_dist2) { + typeVectorVertex facet = {}; + add_all_faces_of_dimension(limit_dimension, vertices, vertices.begin(), aw_it, aw_it->second - aw.begin()->second, facet, complex); + vertices.push_back(aw_it->first); + aw_it++; + } + if ((Landmark_id)simplex.size() - 1 > complex_dim) + complex_dim = simplex.size() - 1; + } + complex.set_dimension(complex_dim); + return true; + } + +private: + + /* \brief Adds recursively all the faces of a certain dimension dim-1 witnessed by the same witness. + * Iterator is needed to know until how far we can take landmarks to form simplexes. + * simplex is the prefix of the simplexes to insert. + * The landmark pointed by aw_it is added to all formed simplices. + */ + template < typename SimplicialComplexForWitness > + void add_all_faces_of_dimension(Landmark_id dim, + typeVectorVertex& vertices, + typename typeVectorVertex::iterator curr_it, + typename ActiveWitness::iterator aw_it, + FT filtration_value, + typeVectorVertex& simplex, + SimplicialComplexForWitness& sc) const + { + if (dim > 0) + while (curr_it != vertices.end()) { + simplex.push_back(*curr_it); + typename typeVectorVertex::iterator next_it = ++curr_it; + add_all_faces_of_dimension(dim-1, + vertices, + next_it, + aw_it, + filtration_value, + simplex, + sc); + simplex.pop_back(); + add_all_faces_of_dimension(dim, + vertices, + next_it, + aw_it, + filtration_value, + simplex, + sc); + } + else if (dim == 0) { + simplex.push_back(aw_it->first); + sc.insert_simplex_and_subfaces(simplex, filtration_value); + simplex.pop_back(); + } + } + + //@} +}; + +} // namespace witness_complex + +} // namespace Gudhi + +#endif // EUCLIDEAN_STRONG_WITNESS_COMPLEX_H_ diff --git a/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h b/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h new file mode 100644 index 00000000..7045dc02 --- /dev/null +++ b/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h @@ -0,0 +1,233 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2015 INRIA (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#ifndef EUCLIDEAN_WITNESS_COMPLEX_H_ +#define EUCLIDEAN_WITNESS_COMPLEX_H_ + +#include +#include +#include + +#include +#include +#include +#include + +namespace Gudhi { + +namespace witness_complex { + +/** + * \private + * \class Euclidean_witness_complex + * \brief Constructs (weak) witness complex for given sets of witnesses and landmarks in Euclidean space. + * \ingroup witness_complex + * + * \tparam Kernel_ requires a CGAL::Epick_d class. +*/ +template< class Kernel_ > +class Euclidean_witness_complex { +private: + typedef Kernel_ K; + typedef typename K::Point_d Point_d; + typedef typename K::FT FT; + typedef std::vector Point_range; + typedef Gudhi::spatial_searching::Kd_tree_search Kd_tree; + typedef typename Kd_tree::INS_range Nearest_landmark_range; + + typedef FT Filtration_value; + + + typedef std::size_t Witness_id; + typedef typename Nearest_landmark_range::Point_with_transformed_distance Id_distance_pair; + typedef typename Id_distance_pair::first_type Landmark_id; + typedef Active_witness ActiveWitness; + typedef std::list< ActiveWitness > ActiveWitnessList; + typedef std::vector< Landmark_id > typeVectorVertex; + + typedef Landmark_id Vertex_handle; + + private: + Point_range witnesses_, landmarks_; + Kd_tree landmark_tree_; + + public: + ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////// + /* @name Constructor + */ + + //@{ + + /** + * \brief Initializes member variables before constructing simplicial complex. + * \details Records landmarks from the range 'landmarks' into a + * table internally, as well as witnesses from the range 'witnesses'. + * Both ranges should have value_type Kernel_::Point_d. + */ + template< typename LandmarkRange, + typename WitnessRange > + Euclidean_witness_complex(const LandmarkRange & landmarks, + const WitnessRange & witnesses) + : witnesses_(witnesses), landmarks_(landmarks), landmark_tree_(landmarks_) + { + } + + /** \brief Returns the point corresponding to the given vertex. + * @param[in] vertex Vertex handle of the point to retrieve. + */ + Point_d get_point( Vertex_handle vertex ) const + { + return landmarks_[vertex]; + } + + /** \brief Outputs the (weak) witness complex of relaxation 'max_alpha_square' + * in a simplicial complex data structure. + * \details The function returns true if the construction is successful and false otherwise. + * @param[out] complex Simplicial complex data structure compatible which is a model of + * SimplicialComplexForWitness concept. + * @param[in] max_alpha_square Maximal squared relaxation parameter. + * @param[in] limit_dimension Represents the maximal dimension of the simplicial complex + * (default value = no limit). + */ + template < typename SimplicialComplexForWitness > + bool create_complex(SimplicialComplexForWitness& complex, + FT max_alpha_square, + Landmark_id limit_dimension = std::numeric_limits::max()) + { + if (complex.num_vertices() > 0) { + std::cerr << "Euclidean witness complex cannot create complex - complex is not empty.\n"; + return false; + } + if (max_alpha_square < 0) { + std::cerr << "Euclidean witness complex cannot create complex - squared relaxation parameter must be non-negative.\n"; + return false; + } + if (limit_dimension < 0) { + std::cerr << "Euclidean witness complex cannot create complex - limit dimension must be non-negative.\n"; + return false; + } + typeVectorVertex vv; + ActiveWitnessList active_witnesses; + Landmark_id k = 0; /* current dimension in iterative construction */ + for (auto w: witnesses_) + active_witnesses.push_back(ActiveWitness(landmark_tree_.query_incremental_nearest_neighbors(w))); + ActiveWitness aw_copy(active_witnesses.front()); + while (!active_witnesses.empty() && k <= limit_dimension ) { + typename ActiveWitnessList::iterator aw_it = active_witnesses.begin(); + std::vector simplex; + simplex.reserve(k+1); + while (aw_it != active_witnesses.end()) { + bool ok = add_all_faces_of_dimension(k, + max_alpha_square, + std::numeric_limits::infinity(), + aw_it->begin(), + simplex, + complex, + aw_it->end()); + assert(simplex.empty()); + if (!ok) + active_witnesses.erase(aw_it++); //First increase the iterator and then erase the previous element + else + aw_it++; + } + k++; + } + complex.set_dimension(k-1); + return true; + } + + //@} + + private: + /* \brief Adds recursively all the faces of a certain dimension dim witnessed by the same witness. + * Iterator is needed to know until how far we can take landmarks to form simplexes. + * simplex is the prefix of the simplexes to insert. + * The output value indicates if the witness rests active or not. + */ + template < typename SimplicialComplexForWitness > + bool add_all_faces_of_dimension(int dim, + double alpha2, + double norelax_dist2, + typename ActiveWitness::iterator curr_l, + std::vector& simplex, + SimplicialComplexForWitness& sc, + typename ActiveWitness::iterator end) const + { + if (curr_l == end) + return false; + bool will_be_active = false; + typename ActiveWitness::iterator l_it = curr_l; + if (dim > 0) + for (; l_it->second - alpha2 <= norelax_dist2 && l_it != end; ++l_it) { + simplex.push_back(l_it->first); + if (sc.find(simplex) != sc.null_simplex()) { + typename ActiveWitness::iterator next_it = l_it; + will_be_active = add_all_faces_of_dimension(dim-1, + alpha2, + norelax_dist2, + ++next_it, + simplex, + sc, + end) || will_be_active; + } + assert(!simplex.empty()); + simplex.pop_back(); + // If norelax_dist is infinity, change to first omitted distance + if (l_it->second <= norelax_dist2) + norelax_dist2 = l_it->second; + typename ActiveWitness::iterator next_it = l_it; + will_be_active = add_all_faces_of_dimension(dim, + alpha2, + norelax_dist2, + ++next_it, + simplex, + sc, + end) || will_be_active; + } + else if (dim == 0) + for (; l_it->second - alpha2 <= norelax_dist2 && l_it != end; ++l_it) { + simplex.push_back(l_it->first); + double filtration_value = 0; + // if norelax_dist is infinite, relaxation is 0. + if (l_it->second > norelax_dist2) + filtration_value = l_it->second - norelax_dist2; + if (all_faces_in(simplex, &filtration_value, sc)) { + will_be_active = true; + sc.insert_simplex(simplex, filtration_value); + } + assert(!simplex.empty()); + simplex.pop_back(); + // If norelax_dist is infinity, change to first omitted distance + if (l_it->second < norelax_dist2) + norelax_dist2 = l_it->second; + } + return will_be_active; + } + +}; + +} // namespace witness_complex + +} // namespace Gudhi + +#endif // EUCLIDEAN_WITNESS_COMPLEX_H_ -- cgit v1.2.3 -- cgit v1.2.3 From 5f292d2580219097e53753885b02a4cdaba9c798 Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Wed, 25 Jan 2017 09:58:36 +0000 Subject: Fix code review git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/rips_doc_fixes@2008 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: d742fb816e1c83a85400d2f0c187e045dcea362f --- .../concept/Simplicial_complex_for_rips.h | 5 ++--- src/Rips_complex/doc/Intro_rips_complex.h | 10 +++++----- ...ample_one_skeleton_rips_from_distance_matrix.cpp | 6 +++--- .../example_one_skeleton_rips_from_points.cpp | 6 +++--- ...e_rips_complex_from_csv_distance_matrix_file.cpp | 6 +++--- .../example/example_rips_complex_from_off_file.cpp | 6 +++--- .../example/full_skeleton_rips_for_doc.txt | 2 +- .../example/one_skeleton_rips_for_doc.txt | 2 +- src/Rips_complex/include/gudhi/Rips_complex.h | 21 ++++++++++----------- src/Rips_complex/test/test_rips_complex.cpp | 16 ++++++++-------- 10 files changed, 39 insertions(+), 41 deletions(-) diff --git a/src/Rips_complex/concept/Simplicial_complex_for_rips.h b/src/Rips_complex/concept/Simplicial_complex_for_rips.h index dc871177..7dab0615 100644 --- a/src/Rips_complex/concept/Simplicial_complex_for_rips.h +++ b/src/Rips_complex/concept/Simplicial_complex_for_rips.h @@ -31,11 +31,10 @@ namespace rips_complex { * complex, that can be created from a `Rips_complex`. The only available model for the moment is the `Simplex_tree`. */ struct SimplicialComplexForRips { - /** \brief Handle to specify the simplex filtration value. */ + /** \brief Type used to store the filtration values of the simplicial complex. */ typedef unspecified Filtration_value; - /** \brief Inserts a given range `Gudhi::rips_complex::Rips_complex::OneSkeletonGraph` in the simplicial - * complex. */ + /** \brief Inserts a given `Gudhi::rips_complex::Rips_complex::OneSkeletonGraph` in the simplicial complex. */ template void insert_graph(const OneSkeletonGraph& skel_graph); diff --git a/src/Rips_complex/doc/Intro_rips_complex.h b/src/Rips_complex/doc/Intro_rips_complex.h index 64fd34bc..ceecfa7b 100644 --- a/src/Rips_complex/doc/Intro_rips_complex.h +++ b/src/Rips_complex/doc/Intro_rips_complex.h @@ -48,7 +48,7 @@ namespace rips_complex { * All edges that have a filtration value strictly greater than a given threshold value are not inserted into * the complex. * - * When creating a simplicial complex from this one skeleton graph, rips inserts the one skeleton graph into the data + * When creating a simplicial complex from this one skeleton graph, Rips inserts the one skeleton graph into the data * structure, and then expands the simplicial when required. * * \image html "rips_complex_representation.png" "Rips-complex one skeleton graph representation" @@ -68,7 +68,7 @@ namespace rips_complex { * * \include Rips_complex/example_one_skeleton_rips_from_points.cpp * - * When launching (rips maximal distance between 2 points is 12.0, is expanded until dimension 1 - one skeleton graph + * When launching (Rips maximal distance between 2 points is 12.0, is expanded until dimension 1 - one skeleton graph * in other words): * * \code $> ./oneskeletonripspoints @@ -85,7 +85,7 @@ namespace rips_complex { * Then it creates a `Simplex_tree` with it. * * - * Then, it is asked to display information about the rips complex. + * Then, it is asked to display information about the Rips complex. * * \include Rips_complex/example_rips_complex_from_off_file.cpp * @@ -111,7 +111,7 @@ namespace rips_complex { * * \include Rips_complex/example_one_skeleton_rips_from_distance_matrix.cpp * - * When launching (rips maximal distance between 2 points is 1.0, is expanded until dimension 1 - one skeleton graph + * When launching (Rips maximal distance between 2 points is 1.0, is expanded until dimension 1 - one skeleton graph * with other words): * * \code $> ./oneskeletonripsdistance @@ -127,7 +127,7 @@ namespace rips_complex { * Then it creates a `Simplex_tree` with it. * * - * Then, it is asked to display information about the rips complex. + * Then, it is asked to display information about the Rips complex. * * \include Rips_complex/example_rips_complex_from_csv_distance_matrix_file.cpp * diff --git a/src/Rips_complex/example/example_one_skeleton_rips_from_distance_matrix.cpp b/src/Rips_complex/example/example_one_skeleton_rips_from_distance_matrix.cpp index 90bd8e38..bbc3c755 100644 --- a/src/Rips_complex/example/example_one_skeleton_rips_from_distance_matrix.cpp +++ b/src/Rips_complex/example/example_one_skeleton_rips_from_distance_matrix.cpp @@ -29,7 +29,7 @@ int main() { distances.push_back({0.11, 0.39, 0.97, 0.30}); // ---------------------------------------------------------------------------- - // Init of a rips complex from points + // Init of a Rips complex from points // ---------------------------------------------------------------------------- double threshold = 1.0; Rips_complex rips_complex_from_points(distances, threshold); @@ -37,13 +37,13 @@ int main() { Simplex_tree stree; rips_complex_from_points.create_complex(stree, 1); // ---------------------------------------------------------------------------- - // Display information about the one skeleton rips complex + // Display information about the one skeleton Rips complex // ---------------------------------------------------------------------------- std::cout << "Rips complex is of dimension " << stree.dimension() << " - " << stree.num_simplices() << " simplices - " << stree.num_vertices() << " vertices." << std::endl; - std::cout << "Iterator on rips complex simplices in the filtration order, with [filtration value]:" << + std::cout << "Iterator on Rips complex simplices in the filtration order, with [filtration value]:" << std::endl; for (auto f_simplex : stree.filtration_simplex_range()) { std::cout << " ( "; diff --git a/src/Rips_complex/example/example_one_skeleton_rips_from_points.cpp b/src/Rips_complex/example/example_one_skeleton_rips_from_points.cpp index 5d1216a0..3fd69ebc 100644 --- a/src/Rips_complex/example/example_one_skeleton_rips_from_points.cpp +++ b/src/Rips_complex/example/example_one_skeleton_rips_from_points.cpp @@ -24,7 +24,7 @@ int main() { points.push_back({9.0, 17.0}); // ---------------------------------------------------------------------------- - // Init of a rips complex from points + // Init of a Rips complex from points // ---------------------------------------------------------------------------- double threshold = 12.0; Rips_complex rips_complex_from_points(points, threshold, Euclidean_distance()); @@ -32,13 +32,13 @@ int main() { Simplex_tree stree; rips_complex_from_points.create_complex(stree, 1); // ---------------------------------------------------------------------------- - // Display information about the one skeleton rips complex + // Display information about the one skeleton Rips complex // ---------------------------------------------------------------------------- std::cout << "Rips complex is of dimension " << stree.dimension() << " - " << stree.num_simplices() << " simplices - " << stree.num_vertices() << " vertices." << std::endl; - std::cout << "Iterator on rips complex simplices in the filtration order, with [filtration value]:" << + std::cout << "Iterator on Rips complex simplices in the filtration order, with [filtration value]:" << std::endl; for (auto f_simplex : stree.filtration_simplex_range()) { std::cout << " ( "; diff --git a/src/Rips_complex/example/example_rips_complex_from_csv_distance_matrix_file.cpp b/src/Rips_complex/example/example_rips_complex_from_csv_distance_matrix_file.cpp index cc6c3a33..ef3a9d13 100644 --- a/src/Rips_complex/example/example_rips_complex_from_csv_distance_matrix_file.cpp +++ b/src/Rips_complex/example/example_rips_complex_from_csv_distance_matrix_file.cpp @@ -29,7 +29,7 @@ int main(int argc, char **argv) { using Distance_matrix = std::vector>; // ---------------------------------------------------------------------------- - // Init of a rips complex from a distance matrix in a csv file + // Init of a Rips complex from a distance matrix in a csv file // Default separator is ';' // ---------------------------------------------------------------------------- Distance_matrix distances = read_lower_triangular_matrix_from_csv_file(csv_file_name); @@ -50,13 +50,13 @@ int main(int argc, char **argv) { std::ostream output_stream(streambufffer); // ---------------------------------------------------------------------------- - // Display information about the rips complex + // Display information about the Rips complex // ---------------------------------------------------------------------------- output_stream << "Rips complex is of dimension " << stree.dimension() << " - " << stree.num_simplices() << " simplices - " << stree.num_vertices() << " vertices." << std::endl; - output_stream << "Iterator on rips complex simplices in the filtration order, with [filtration value]:" << + output_stream << "Iterator on Rips complex simplices in the filtration order, with [filtration value]:" << std::endl; for (auto f_simplex : stree.filtration_simplex_range()) { output_stream << " ( "; diff --git a/src/Rips_complex/example/example_rips_complex_from_off_file.cpp b/src/Rips_complex/example/example_rips_complex_from_off_file.cpp index b6c961d0..a1e4e255 100644 --- a/src/Rips_complex/example/example_rips_complex_from_off_file.cpp +++ b/src/Rips_complex/example/example_rips_complex_from_off_file.cpp @@ -29,7 +29,7 @@ int main(int argc, char **argv) { using Rips_complex = Gudhi::rips_complex::Rips_complex; // ---------------------------------------------------------------------------- - // Init of a rips complex from an OFF file + // Init of a Rips complex from an OFF file // ---------------------------------------------------------------------------- Gudhi::Points_off_reader off_reader(off_file_name); Rips_complex rips_complex_from_file(off_reader.get_point_cloud(), threshold, Euclidean_distance()); @@ -49,13 +49,13 @@ int main(int argc, char **argv) { std::ostream output_stream(streambufffer); // ---------------------------------------------------------------------------- - // Display information about the rips complex + // Display information about the Rips complex // ---------------------------------------------------------------------------- output_stream << "Rips complex is of dimension " << stree.dimension() << " - " << stree.num_simplices() << " simplices - " << stree.num_vertices() << " vertices." << std::endl; - output_stream << "Iterator on rips complex simplices in the filtration order, with [filtration value]:" << + output_stream << "Iterator on Rips complex simplices in the filtration order, with [filtration value]:" << std::endl; for (auto f_simplex : stree.filtration_simplex_range()) { output_stream << " ( "; diff --git a/src/Rips_complex/example/full_skeleton_rips_for_doc.txt b/src/Rips_complex/example/full_skeleton_rips_for_doc.txt index 319931e0..55de4ab8 100644 --- a/src/Rips_complex/example/full_skeleton_rips_for_doc.txt +++ b/src/Rips_complex/example/full_skeleton_rips_for_doc.txt @@ -1,5 +1,5 @@ Rips complex is of dimension 3 - 24 simplices - 7 vertices. -Iterator on rips complex simplices in the filtration order, with [filtration value]: +Iterator on Rips complex simplices in the filtration order, with [filtration value]: ( 0 ) -> [0] ( 1 ) -> [0] ( 2 ) -> [0] diff --git a/src/Rips_complex/example/one_skeleton_rips_for_doc.txt b/src/Rips_complex/example/one_skeleton_rips_for_doc.txt index b0e25cc5..706512a5 100644 --- a/src/Rips_complex/example/one_skeleton_rips_for_doc.txt +++ b/src/Rips_complex/example/one_skeleton_rips_for_doc.txt @@ -1,5 +1,5 @@ Rips complex is of dimension 1 - 18 simplices - 7 vertices. -Iterator on rips complex simplices in the filtration order, with [filtration value]: +Iterator on Rips complex simplices in the filtration order, with [filtration value]: ( 0 ) -> [0] ( 1 ) -> [0] ( 2 ) -> [0] diff --git a/src/Rips_complex/include/gudhi/Rips_complex.h b/src/Rips_complex/include/gudhi/Rips_complex.h index f0f39db8..65e742ce 100644 --- a/src/Rips_complex/include/gudhi/Rips_complex.h +++ b/src/Rips_complex/include/gudhi/Rips_complex.h @@ -51,7 +51,7 @@ namespace rips_complex { * to a given threshold. Edge length is computed from a user given point cloud with a given distance function, or a * distance matrix. * - * \tparam Filtration_value must meet `SimplicialComplexForRips` concept. + * \tparam Filtration_value is the type used to store the filtration values of the simplicial complex. */ template class Rips_complex { @@ -70,7 +70,7 @@ class Rips_complex { /** \brief Rips_complex constructor from a list of points. * * @param[in] points Range of points. - * @param[in] threshold rips value. + * @param[in] threshold Rips value. * @param[in] distance distance function that returns a `Filtration_value` from 2 given points. * * \tparam InputPointRange must be a range for which `std::begin` and `std::end` return input iterators on a @@ -81,20 +81,20 @@ class Rips_complex { */ template Rips_complex(const InputPointRange& points, Filtration_value threshold, Distance distance) { - compute_proximity_graph(points, threshold, distance); + compute_proximity_graph(points, threshold, distance); } /** \brief Rips_complex constructor from a distance matrix. * * @param[in] distance_matrix Range of distances. - * @param[in] threshold rips value. + * @param[in] threshold Rips value. * - * \tparam InputDistanceRange must have a `size()` method and on which `distance_matrix[i][j]` returns - * the distance between points \f$i\f$ and \f$j\f$ as long as \f$ 0 \leqslant i \leqslant j \leqslant + * \tparam DistanceMatrix must have a `size()` method and on which `distance_matrix[i][j]` returns + * the distance between points \f$i\f$ and \f$j\f$ as long as \f$ 0 \leqslant i < j \leqslant * distance\_matrix.size().\f$ */ - template - Rips_complex(const InputDistanceRange& distance_matrix, Filtration_value threshold) { + template + Rips_complex(const DistanceMatrix& distance_matrix, Filtration_value threshold) { compute_proximity_graph(boost::irange((size_t)0, distance_matrix.size()), threshold, [&](size_t i, size_t j){return distance_matrix[j][i];}); } @@ -105,7 +105,7 @@ class Rips_complex { * \tparam SimplicialComplexForRips must meet `SimplicialComplexForRips` concept. * * @param[in] complex SimplicialComplexForRips to be created. - * @param[in] dim_max graph expansion for rips until this given maximal dimension. + * @param[in] dim_max graph expansion for Rips until this given maximal dimension. * @exception std::invalid_argument In debug mode, if `complex.num_vertices()` does not return 0. * */ @@ -144,7 +144,7 @@ class Rips_complex { // -------------------------------------------------------------------------------------------- // Creates the vector of edges and its filtration values (returned by distance function) Vertex_handle idx_u = 0; - for (auto it_u = std::begin(points); it_u != std::end(points); ++it_u) { + for (auto it_u = std::begin(points); it_u != std::end(points); ++it_u, ++idx_u) { Vertex_handle idx_v = idx_u + 1; for (auto it_v = it_u + 1; it_v != std::end(points); ++it_v, ++idx_v) { Filtration_value fil = distance(*it_u, *it_v); @@ -153,7 +153,6 @@ class Rips_complex { edges_fil.push_back(fil); } } - ++idx_u; } // -------------------------------------------------------------------------------------------- diff --git a/src/Rips_complex/test/test_rips_complex.cpp b/src/Rips_complex/test/test_rips_complex.cpp index 1bdd0512..ae68ba0d 100644 --- a/src/Rips_complex/test/test_rips_complex.cpp +++ b/src/Rips_complex/test/test_rips_complex.cpp @@ -51,12 +51,12 @@ bool are_almost_the_same(float a, float b) { BOOST_AUTO_TEST_CASE(RIPS_DOC_OFF_file) { // ---------------------------------------------------------------------------- // - // Init of a rips complex from a OFF file + // Init of a Rips complex from a OFF file // // ---------------------------------------------------------------------------- std::string off_file_name("alphacomplexdoc.off"); double rips_threshold = 12.0; - std::cout << "========== OFF FILE NAME = " << off_file_name << " - rips threshold=" << + std::cout << "========== OFF FILE NAME = " << off_file_name << " - Rips threshold=" << rips_threshold << "==========" << std::endl; Gudhi::Points_off_reader off_reader(off_file_name); @@ -185,7 +185,7 @@ BOOST_AUTO_TEST_CASE(Rips_complex_from_points) { points.push_back(Point(coords.begin(), coords.end())); // ---------------------------------------------------------------------------- - // Init of a rips complex from the list of points + // Init of a Rips complex from the list of points // ---------------------------------------------------------------------------- Rips_complex rips_complex_from_points(points, 2.0, Custom_square_euclidean_distance()); @@ -195,7 +195,7 @@ BOOST_AUTO_TEST_CASE(Rips_complex_from_points) { rips_complex_from_points.create_complex(st, DIMENSION); // Another way to check num_simplices - std::cout << "Iterator on rips complex simplices in the filtration order, with [filtration value]:" << std::endl; + std::cout << "Iterator on Rips complex simplices in the filtration order, with [filtration value]:" << std::endl; int num_simplices = 0; for (auto f_simplex : st.filtration_simplex_range()) { num_simplices++; @@ -236,12 +236,12 @@ BOOST_AUTO_TEST_CASE(Rips_complex_from_points) { BOOST_AUTO_TEST_CASE(Rips_doc_csv_file) { // ---------------------------------------------------------------------------- // - // Init of a rips complex from a OFF file + // Init of a Rips complex from a OFF file // // ---------------------------------------------------------------------------- std::string csv_file_name("full_square_distance_matrix.csv"); double rips_threshold = 12.0; - std::cout << "========== CSV FILE NAME = " << csv_file_name << " - rips threshold=" << + std::cout << "========== CSV FILE NAME = " << csv_file_name << " - Rips threshold=" << rips_threshold << "==========" << std::endl; Distance_matrix distances = read_lower_triangular_matrix_from_csv_file(csv_file_name); @@ -332,12 +332,12 @@ BOOST_AUTO_TEST_CASE(Rips_doc_csv_file) { BOOST_AUTO_TEST_CASE(Rips_create_complex_throw) { // ---------------------------------------------------------------------------- // - // Init of a rips complex from a OFF file + // Init of a Rips complex from a OFF file // // ---------------------------------------------------------------------------- std::string off_file_name("alphacomplexdoc.off"); double rips_threshold = 12.0; - std::cout << "========== OFF FILE NAME = " << off_file_name << " - rips threshold=" << + std::cout << "========== OFF FILE NAME = " << off_file_name << " - Rips threshold=" << rips_threshold << "==========" << std::endl; Gudhi::Points_off_reader off_reader(off_file_name); -- cgit v1.2.3 From d698708b81548a885aeb035cde9af7b270a16dd7 Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Wed, 25 Jan 2017 10:12:29 +0000 Subject: Fix code review git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/rips_doc_fixes@2009 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: e002ed07e5dd559690ddef60cac4d5941ba4def3 --- src/Rips_complex/include/gudhi/Rips_complex.h | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/src/Rips_complex/include/gudhi/Rips_complex.h b/src/Rips_complex/include/gudhi/Rips_complex.h index 65e742ce..1e4b76a7 100644 --- a/src/Rips_complex/include/gudhi/Rips_complex.h +++ b/src/Rips_complex/include/gudhi/Rips_complex.h @@ -51,7 +51,7 @@ namespace rips_complex { * to a given threshold. Edge length is computed from a user given point cloud with a given distance function, or a * distance matrix. * - * \tparam Filtration_value is the type used to store the filtration values of the simplicial complex. + * \tparam Filtration_value is the type used to store the filtration values of the simplicial complex. */ template class Rips_complex { @@ -73,14 +73,14 @@ class Rips_complex { * @param[in] threshold Rips value. * @param[in] distance distance function that returns a `Filtration_value` from 2 given points. * - * \tparam InputPointRange must be a range for which `std::begin` and `std::end` return input iterators on a + * \tparam ForwardPointRange must be a range for which `std::begin` and `std::end` return input iterators on a * point. * * \tparam Distance furnishes `operator()(const Point& p1, const Point& p2)`, where - * `Point` is a point from the `InputPointRange`, and that returns a `Filtration_value`. + * `Point` is a point from the `ForwardPointRange`, and that returns a `Filtration_value`. */ - template - Rips_complex(const InputPointRange& points, Filtration_value threshold, Distance distance) { + template + Rips_complex(const ForwardPointRange& points, Filtration_value threshold, Distance distance) { compute_proximity_graph(points, threshold, distance); } @@ -126,14 +126,14 @@ class Rips_complex { * If points contains n elements, the proximity graph is the graph with n vertices, and an edge [u,v] iff the * distance function between points u and v is smaller than threshold. * - * \tparam InputPointRange furnishes `.begin()` and `.end()` + * \tparam ForwardPointRange furnishes `.begin()` and `.end()` * methods. * * \tparam Distance furnishes `operator()(const Point& p1, const Point& p2)`, where - * `Point` is a point from the `InputPointRange`, and that returns a `Filtration_value`. + * `Point` is a point from the `ForwardPointRange`, and that returns a `Filtration_value`. */ - template< typename InputPointRange, typename Distance > - void compute_proximity_graph(const InputPointRange& points, Filtration_value threshold, + template< typename ForwardPointRange, typename Distance > + void compute_proximity_graph(const ForwardPointRange& points, Filtration_value threshold, Distance distance) { std::vector< std::pair< Vertex_handle, Vertex_handle > > edges; std::vector< Filtration_value > edges_fil; -- cgit v1.2.3 From dea1b04f72b5e77f61320e7a328d85ffbe088aa0 Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Wed, 25 Jan 2017 10:21:32 +0000 Subject: Fix code review git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/rips_doc_fixes@2010 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 939e4bc3fb8af5cb0b00ab2e011b4de4b2b4b41e --- src/Rips_complex/doc/Intro_rips_complex.h | 2 ++ 1 file changed, 2 insertions(+) diff --git a/src/Rips_complex/doc/Intro_rips_complex.h b/src/Rips_complex/doc/Intro_rips_complex.h index ceecfa7b..945027dc 100644 --- a/src/Rips_complex/doc/Intro_rips_complex.h +++ b/src/Rips_complex/doc/Intro_rips_complex.h @@ -50,6 +50,8 @@ namespace rips_complex { * * When creating a simplicial complex from this one skeleton graph, Rips inserts the one skeleton graph into the data * structure, and then expands the simplicial when required. + * + * Vertex name correspond to the index of the point in the given range (aka. the point cloud). * * \image html "rips_complex_representation.png" "Rips-complex one skeleton graph representation" * -- cgit v1.2.3 From d674c67bdfdee94bc23a720865834ef22088679b Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Wed, 25 Jan 2017 11:54:08 +0000 Subject: Code review fix git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/rips_doc_fixes@2011 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 0f2751802f4a6f4e75dfd3dbea08d57fe081e8f9 --- .../example/rips_persistence_step_by_step.cpp | 7 +++++++ src/Rips_complex/doc/Intro_rips_complex.h | 4 ++++ 2 files changed, 11 insertions(+) diff --git a/src/Persistent_cohomology/example/rips_persistence_step_by_step.cpp b/src/Persistent_cohomology/example/rips_persistence_step_by_step.cpp index c8f0921a..b159c62e 100644 --- a/src/Persistent_cohomology/example/rips_persistence_step_by_step.cpp +++ b/src/Persistent_cohomology/example/rips_persistence_step_by_step.cpp @@ -34,6 +34,13 @@ #include // for pair #include +// ---------------------------------------------------------------------------- +// rips_persistence_step_by_step is an example of each step that is required to +// build a Rips over a Simplex_tree. Please refer to rips_persistence to see +// how to do the same thing with the Rips_complex wrapper for less detailed +// steps. +// ---------------------------------------------------------------------------- + // Types definition using Simplex_tree = Gudhi::Simplex_tree; using Vertex_handle = Simplex_tree::Vertex_handle; diff --git a/src/Rips_complex/doc/Intro_rips_complex.h b/src/Rips_complex/doc/Intro_rips_complex.h index 945027dc..4318e5da 100644 --- a/src/Rips_complex/doc/Intro_rips_complex.h +++ b/src/Rips_complex/doc/Intro_rips_complex.h @@ -59,6 +59,10 @@ namespace rips_complex { * value set with \f$max(filtration(4,5), filtration(4,6), filtration(5,6))\f$. * And so on for simplex (0,1,2,3). * + * If the Rips_complex interfaces are not detailed enough for your need, please refer to + * + * rips_persistence_step_by_step.cpp example, where the graph construction over the Simplex_tree is more detailed. + * * \section ripspointsdistance Point cloud and distance function * * \subsection ripspointscloudexample Example from a point cloud and a distance function -- cgit v1.2.3 From 3928fcbc37c2226e42e66e8fe7a90233e536ed7f Mon Sep 17 00:00:00 2001 From: skachano Date: Mon, 30 Jan 2017 04:45:58 +0000 Subject: Two of Marc's remarks git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2020 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: d8fa5a1307da3172198d1cafd7f3f5bd42c99acc --- src/Witness_complex/doc/Witness_complex_doc.h | 4 ++-- src/Witness_complex/include/gudhi/Strong_witness_complex.h | 2 +- 2 files changed, 3 insertions(+), 3 deletions(-) diff --git a/src/Witness_complex/doc/Witness_complex_doc.h b/src/Witness_complex/doc/Witness_complex_doc.h index 8d99b381..247d862a 100644 --- a/src/Witness_complex/doc/Witness_complex_doc.h +++ b/src/Witness_complex/doc/Witness_complex_doc.h @@ -64,7 +64,7 @@ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~{.cpp} #include -#include +#include #include #include @@ -75,7 +75,7 @@ typedef CGAL::Epick_d K; typedef typename K::Point_d Point_d; -typedef typename Gudhi::witness_complex::Witness_complex Witness_complex; +typedef typename Gudhi::witness_complex::Euclidean_witness_complex Witness_complex; typedef std::vector< Vertex_handle > typeVectorVertex; typedef std::vector< Point_d > Point_vector; diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index 87965b6e..5bcd1b6e 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -61,7 +61,7 @@ private: typedef Landmark_id Vertex_handle; private: - Nearest_landmark_table_& nearest_landmark_table_; + Nearest_landmark_table_ nearest_landmark_table_; public: ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////// -- cgit v1.2.3 From 0629c55fc91ab128cca77c977106d8dbb0148e10 Mon Sep 17 00:00:00 2001 From: skachano Date: Mon, 30 Jan 2017 04:51:21 +0000 Subject: Another Marc's comment git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2021 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: a9cdd269f4efe27de960dbfe372572c38864b14f --- src/Witness_complex/include/gudhi/Strong_witness_complex.h | 2 -- src/Witness_complex/include/gudhi/Witness_complex.h | 2 -- 2 files changed, 4 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index 5bcd1b6e..b2bf1b7d 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -31,8 +31,6 @@ #include #include -namespace gss = Gudhi::spatial_searching; - namespace Gudhi { namespace witness_complex { diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 7a6ef9ed..52c638c5 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -32,8 +32,6 @@ #include #include -namespace gss = Gudhi::spatial_searching; - namespace Gudhi { namespace witness_complex { -- cgit v1.2.3 From 3ec8a40aaf7e34116e0d4f422994d5aee109c2b3 Mon Sep 17 00:00:00 2001 From: skachano Date: Mon, 30 Jan 2017 10:29:32 +0000 Subject: The new class design compiles. git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2023 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 8243073046081f51ae6725aa3d7dc921dea450e1 --- .../gudhi/Euclidean_strong_witness_complex.h | 120 ++-------------- .../include/gudhi/Euclidean_witness_complex.h | 151 ++------------------- .../include/gudhi/Strong_witness_complex.h | 7 +- .../include/gudhi/Witness_complex.h | 6 +- 4 files changed, 32 insertions(+), 252 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h b/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h index 38fa5c22..a5947219 100644 --- a/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h @@ -28,6 +28,7 @@ #include #include +#include #include #include @@ -45,33 +46,23 @@ namespace witness_complex { * href="http://doc.cgal.org/latest/Kernel_d/classCGAL_1_1Epick__d.html">CGAL::Epick_d class. */ template< class Kernel_ > -class Euclidean_strong_witness_complex { +class Euclidean_strong_witness_complex : public Strong_witness_complex>::INS_range>> { private: typedef Kernel_ K; typedef typename K::Point_d Point_d; - typedef typename K::FT FT; typedef std::vector Point_range; typedef Gudhi::spatial_searching::Kd_tree_search Kd_tree; typedef typename Kd_tree::INS_range Nearest_landmark_range; typedef typename std::vector Nearest_landmark_table; - typedef typename Nearest_landmark_range::iterator Nearest_landmark_row_iterator; - - typedef FT Filtration_value; - - typedef std::size_t Witness_id; typedef typename Nearest_landmark_range::Point_with_transformed_distance Id_distance_pair; typedef typename Id_distance_pair::first_type Landmark_id; - typedef Active_witness ActiveWitness; - typedef std::list< ActiveWitness > ActiveWitnessList; - typedef std::vector< Landmark_id > typeVectorVertex; - typedef std::pair< typeVectorVertex, Filtration_value> typeSimplex; - typedef Landmark_id Vertex_handle; private: - Point_range witnesses_, landmarks_; + Point_range landmarks_; Kd_tree landmark_tree_; + using Strong_witness_complex::nearest_landmark_table_; public: ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////// @@ -89,9 +80,11 @@ private: template< typename LandmarkRange, typename WitnessRange > Euclidean_strong_witness_complex(const LandmarkRange & landmarks, - const WitnessRange & witnesses) - : witnesses_(witnesses), landmarks_(landmarks), landmark_tree_(landmarks_) - { + const WitnessRange & witnesses) + : landmarks_(landmarks), landmark_tree_(landmarks_) + { + for (auto w: witnesses) + nearest_landmark_table_.push_back(landmark_tree_.query_incremental_nearest_neighbors(w)); } @@ -103,101 +96,6 @@ private: return landmarks_[vertex]; } - /** \brief Outputs the strong witness complex of relaxation 'max_alpha_square' - * in a simplicial complex data structure. - * \details The function returns true if the construction is successful and false otherwise. - * @param[out] complex Simplicial complex data structure, which is a model of - * SimplicialComplexForWitness concept. - * @param[in] max_alpha_square Maximal squared relaxation parameter. - * @param[in] limit_dimension Represents the maximal dimension of the simplicial complex - * (default value = no limit). - */ - template < typename SimplicialComplexForWitness > - bool create_complex(SimplicialComplexForWitness& complex, - FT max_alpha_square, - Landmark_id limit_dimension = std::numeric_limits::max()-1) - { - Landmark_id complex_dim = 0; - if (complex.num_vertices() > 0) { - std::cerr << "Euclidean strong witness complex cannot create complex - complex is not empty.\n"; - return false; - } - if (max_alpha_square < 0) { - std::cerr << "Euclidean strong witness complex cannot create complex - squared relaxation parameter must be non-negative.\n"; - return false; - } - if (limit_dimension < 0) { - std::cerr << "Euclidean strong witness complex cannot create complex - limit dimension must be non-negative.\n"; - return false; - } - for (auto w: witnesses_) { - ActiveWitness aw(landmark_tree_.query_incremental_nearest_neighbors(w)); - typeVectorVertex simplex; - typename ActiveWitness::iterator aw_it = aw.begin(); - float lim_dist2 = aw.begin()->second + max_alpha_square; - while ((Landmark_id)simplex.size() < limit_dimension + 1 && aw_it != aw.end() && aw_it->second < lim_dist2) { - simplex.push_back(aw_it->first); - complex.insert_simplex_and_subfaces(simplex, aw_it->second - aw.begin()->second); - aw_it++; - } - // continue inserting limD-faces of the following simplices - typeVectorVertex& vertices = simplex; //'simplex' now will be called vertices - while (aw_it != aw.end() && aw_it->second < lim_dist2) { - typeVectorVertex facet = {}; - add_all_faces_of_dimension(limit_dimension, vertices, vertices.begin(), aw_it, aw_it->second - aw.begin()->second, facet, complex); - vertices.push_back(aw_it->first); - aw_it++; - } - if ((Landmark_id)simplex.size() - 1 > complex_dim) - complex_dim = simplex.size() - 1; - } - complex.set_dimension(complex_dim); - return true; - } - -private: - - /* \brief Adds recursively all the faces of a certain dimension dim-1 witnessed by the same witness. - * Iterator is needed to know until how far we can take landmarks to form simplexes. - * simplex is the prefix of the simplexes to insert. - * The landmark pointed by aw_it is added to all formed simplices. - */ - template < typename SimplicialComplexForWitness > - void add_all_faces_of_dimension(Landmark_id dim, - typeVectorVertex& vertices, - typename typeVectorVertex::iterator curr_it, - typename ActiveWitness::iterator aw_it, - FT filtration_value, - typeVectorVertex& simplex, - SimplicialComplexForWitness& sc) const - { - if (dim > 0) - while (curr_it != vertices.end()) { - simplex.push_back(*curr_it); - typename typeVectorVertex::iterator next_it = ++curr_it; - add_all_faces_of_dimension(dim-1, - vertices, - next_it, - aw_it, - filtration_value, - simplex, - sc); - simplex.pop_back(); - add_all_faces_of_dimension(dim, - vertices, - next_it, - aw_it, - filtration_value, - simplex, - sc); - } - else if (dim == 0) { - simplex.push_back(aw_it->first); - sc.insert_simplex_and_subfaces(simplex, filtration_value); - simplex.pop_back(); - } - } - //@} }; diff --git a/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h b/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h index 7045dc02..9845808e 100644 --- a/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h @@ -23,6 +23,7 @@ #ifndef EUCLIDEAN_WITNESS_COMPLEX_H_ #define EUCLIDEAN_WITNESS_COMPLEX_H_ +#include #include #include #include @@ -44,34 +45,27 @@ namespace witness_complex { * * \tparam Kernel_ requires a CGAL::Epick_d class. -*/ + */ template< class Kernel_ > -class Euclidean_witness_complex { +class Euclidean_witness_complex : public Witness_complex>::INS_range>> { private: typedef Kernel_ K; typedef typename K::Point_d Point_d; - typedef typename K::FT FT; typedef std::vector Point_range; typedef Gudhi::spatial_searching::Kd_tree_search Kd_tree; typedef typename Kd_tree::INS_range Nearest_landmark_range; + typedef typename std::vector Nearest_landmark_table; - typedef FT Filtration_value; - - - typedef std::size_t Witness_id; typedef typename Nearest_landmark_range::Point_with_transformed_distance Id_distance_pair; typedef typename Id_distance_pair::first_type Landmark_id; - typedef Active_witness ActiveWitness; - typedef std::list< ActiveWitness > ActiveWitnessList; - typedef std::vector< Landmark_id > typeVectorVertex; - typedef Landmark_id Vertex_handle; private: - Point_range witnesses_, landmarks_; + Point_range landmarks_; Kd_tree landmark_tree_; - - public: + using Witness_complex::nearest_landmark_table_; + +public: ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////// /* @name Constructor */ @@ -88,8 +82,10 @@ private: typename WitnessRange > Euclidean_witness_complex(const LandmarkRange & landmarks, const WitnessRange & witnesses) - : witnesses_(witnesses), landmarks_(landmarks), landmark_tree_(landmarks_) - { + : landmarks_(landmarks), landmark_tree_(landmarks) + { + for (auto w: witnesses) + nearest_landmark_table_.push_back(landmark_tree_.query_incremental_nearest_neighbors(w)); } /** \brief Returns the point corresponding to the given vertex. @@ -99,131 +95,8 @@ private: { return landmarks_[vertex]; } - - /** \brief Outputs the (weak) witness complex of relaxation 'max_alpha_square' - * in a simplicial complex data structure. - * \details The function returns true if the construction is successful and false otherwise. - * @param[out] complex Simplicial complex data structure compatible which is a model of - * SimplicialComplexForWitness concept. - * @param[in] max_alpha_square Maximal squared relaxation parameter. - * @param[in] limit_dimension Represents the maximal dimension of the simplicial complex - * (default value = no limit). - */ - template < typename SimplicialComplexForWitness > - bool create_complex(SimplicialComplexForWitness& complex, - FT max_alpha_square, - Landmark_id limit_dimension = std::numeric_limits::max()) - { - if (complex.num_vertices() > 0) { - std::cerr << "Euclidean witness complex cannot create complex - complex is not empty.\n"; - return false; - } - if (max_alpha_square < 0) { - std::cerr << "Euclidean witness complex cannot create complex - squared relaxation parameter must be non-negative.\n"; - return false; - } - if (limit_dimension < 0) { - std::cerr << "Euclidean witness complex cannot create complex - limit dimension must be non-negative.\n"; - return false; - } - typeVectorVertex vv; - ActiveWitnessList active_witnesses; - Landmark_id k = 0; /* current dimension in iterative construction */ - for (auto w: witnesses_) - active_witnesses.push_back(ActiveWitness(landmark_tree_.query_incremental_nearest_neighbors(w))); - ActiveWitness aw_copy(active_witnesses.front()); - while (!active_witnesses.empty() && k <= limit_dimension ) { - typename ActiveWitnessList::iterator aw_it = active_witnesses.begin(); - std::vector simplex; - simplex.reserve(k+1); - while (aw_it != active_witnesses.end()) { - bool ok = add_all_faces_of_dimension(k, - max_alpha_square, - std::numeric_limits::infinity(), - aw_it->begin(), - simplex, - complex, - aw_it->end()); - assert(simplex.empty()); - if (!ok) - active_witnesses.erase(aw_it++); //First increase the iterator and then erase the previous element - else - aw_it++; - } - k++; - } - complex.set_dimension(k-1); - return true; - } //@} - - private: - /* \brief Adds recursively all the faces of a certain dimension dim witnessed by the same witness. - * Iterator is needed to know until how far we can take landmarks to form simplexes. - * simplex is the prefix of the simplexes to insert. - * The output value indicates if the witness rests active or not. - */ - template < typename SimplicialComplexForWitness > - bool add_all_faces_of_dimension(int dim, - double alpha2, - double norelax_dist2, - typename ActiveWitness::iterator curr_l, - std::vector& simplex, - SimplicialComplexForWitness& sc, - typename ActiveWitness::iterator end) const - { - if (curr_l == end) - return false; - bool will_be_active = false; - typename ActiveWitness::iterator l_it = curr_l; - if (dim > 0) - for (; l_it->second - alpha2 <= norelax_dist2 && l_it != end; ++l_it) { - simplex.push_back(l_it->first); - if (sc.find(simplex) != sc.null_simplex()) { - typename ActiveWitness::iterator next_it = l_it; - will_be_active = add_all_faces_of_dimension(dim-1, - alpha2, - norelax_dist2, - ++next_it, - simplex, - sc, - end) || will_be_active; - } - assert(!simplex.empty()); - simplex.pop_back(); - // If norelax_dist is infinity, change to first omitted distance - if (l_it->second <= norelax_dist2) - norelax_dist2 = l_it->second; - typename ActiveWitness::iterator next_it = l_it; - will_be_active = add_all_faces_of_dimension(dim, - alpha2, - norelax_dist2, - ++next_it, - simplex, - sc, - end) || will_be_active; - } - else if (dim == 0) - for (; l_it->second - alpha2 <= norelax_dist2 && l_it != end; ++l_it) { - simplex.push_back(l_it->first); - double filtration_value = 0; - // if norelax_dist is infinite, relaxation is 0. - if (l_it->second > norelax_dist2) - filtration_value = l_it->second - norelax_dist2; - if (all_faces_in(simplex, &filtration_value, sc)) { - will_be_active = true; - sc.insert_simplex(simplex, filtration_value); - } - assert(!simplex.empty()); - simplex.pop_back(); - // If norelax_dist is infinity, change to first omitted distance - if (l_it->second < norelax_dist2) - norelax_dist2 = l_it->second; - } - return will_be_active; - } - }; } // namespace witness_complex diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index b2bf1b7d..f9d1d681 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -58,7 +58,7 @@ private: typedef Landmark_id Vertex_handle; - private: + protected: Nearest_landmark_table_ nearest_landmark_table_; public: @@ -68,6 +68,11 @@ private: //@{ + Strong_witness_complex() + { + } + + /** * \brief Initializes member variables before constructing simplicial complex. * \details Records nearest landmark table. diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 52c638c5..33c6c5d2 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -59,7 +59,7 @@ private: typedef Landmark_id Vertex_handle; - private: + protected: Nearest_landmark_table_ nearest_landmark_table_; public: @@ -69,6 +69,10 @@ private: //@{ + Witness_complex() + { + } + /** * \brief Initializes member variables before constructing simplicial complex. * \details Records nearest landmark table. -- cgit v1.2.3 From fc7c627592b44a147e0b213733c953f6a9a4755f Mon Sep 17 00:00:00 2001 From: skachano Date: Mon, 30 Jan 2017 12:10:46 +0000 Subject: Added a new example with strong and modified the example list git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2024 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: d49228f33f30b022677bd9d3d3da06ab3214e9f3 --- src/Witness_complex/example/CMakeLists.txt | 1 + src/common/doc/main_page.h | 2 ++ 2 files changed, 3 insertions(+) diff --git a/src/Witness_complex/example/CMakeLists.txt b/src/Witness_complex/example/CMakeLists.txt index 2bae07d9..320f3fba 100644 --- a/src/Witness_complex/example/CMakeLists.txt +++ b/src/Witness_complex/example/CMakeLists.txt @@ -6,6 +6,7 @@ if(CGAL_FOUND) if (NOT CGAL_VERSION VERSION_LESS 4.6.0) if (EIGEN3_FOUND) add_executable( Witness_complex_example_off example_witness_complex_off.cpp ) + add_executable( Witness_complex_example_strong_off example_strong_witness_complex_off.cpp ) add_executable ( Witness_complex_example_sphere example_witness_complex_sphere.cpp ) add_executable ( Witness_complex_example_witness_persistence example_witness_complex_persistence.cpp ) diff --git a/src/common/doc/main_page.h b/src/common/doc/main_page.h index 9fed4106..5fb75002 100644 --- a/src/common/doc/main_page.h +++ b/src/common/doc/main_page.h @@ -386,6 +386,8 @@ make \endverbatim * @example Skeleton_blocker/Skeleton_blocker_link.cpp * @example Tangential_complex/example_basic.cpp * @example Tangential_complex/example_with_perturb.cpp + * @example Witness_complex/example_nearest_landmark_table.cpp + * @example Witness_complex/example_strong_witness_complex_off.cpp * @example Witness_complex/example_strong_witness_persistence.cpp * @example Witness_complex/example_witness_complex_off.cpp * @example Witness_complex/example_witness_complex_persistence.cpp -- cgit v1.2.3 From 1a3119c6034e1a79daf9d61fe005b0f1626d379a Mon Sep 17 00:00:00 2001 From: skachano Date: Mon, 30 Jan 2017 12:11:30 +0000 Subject: Added the forgotten file git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2025 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 39daaed822b31d04795e3c17a4d1e14728e3adef --- .../example/example_strong_witness_complex_off.cpp | 61 ++++++++++++++++++++++ 1 file changed, 61 insertions(+) create mode 100644 src/Witness_complex/example/example_strong_witness_complex_off.cpp diff --git a/src/Witness_complex/example/example_strong_witness_complex_off.cpp b/src/Witness_complex/example/example_strong_witness_complex_off.cpp new file mode 100644 index 00000000..80699e78 --- /dev/null +++ b/src/Witness_complex/example/example_strong_witness_complex_off.cpp @@ -0,0 +1,61 @@ +#include +#include + +#include +#include +#include +#include + +#include + +#include +#include +#include +#include +#include + +typedef CGAL::Epick_d K; +typedef typename K::Point_d Point_d; +typedef typename Gudhi::witness_complex::Euclidean_strong_witness_complex Witness_complex; +typedef std::vector< Vertex_handle > typeVectorVertex; +typedef std::vector< Point_d > Point_vector; + +int main(int argc, char * const argv[]) { + if (argc != 5) { + std::cerr << "Usage: " << argv[0] + << " path_to_point_file number_of_landmarks max_squared_alpha limit_dimension\n"; + return 0; + } + + std::string file_name = argv[1]; + int nbL = atoi(argv[2]), lim_dim = atoi(argv[4]); + double alpha2 = atof(argv[3]); + clock_t start, end; + Gudhi::Simplex_tree<> simplex_tree; + + // Read the point file + Point_vector point_vector, landmarks; + Gudhi::Points_off_reader off_reader(file_name); + if (!off_reader.is_valid()) { + std::cerr << "Witness complex - Unable to read file " << file_name << "\n"; + exit(-1); // ----- >> + } + point_vector = Point_vector(off_reader.get_point_cloud()); + + std::cout << "Successfully read " << point_vector.size() << " points.\n"; + std::cout << "Ambient dimension is " << point_vector[0].dimension() << ".\n"; + + // Choose landmarks + Gudhi::subsampling::pick_n_random_points(point_vector, nbL, std::back_inserter(landmarks)); + + // Compute witness complex + start = clock(); + Witness_complex witness_complex(landmarks, + point_vector); + + witness_complex.create_complex(simplex_tree, alpha2, lim_dim); + end = clock(); + std::cout << "Witness complex took " + << static_cast(end - start) / CLOCKS_PER_SEC << " s. \n"; + std::cout << "Number of simplices is: " << simplex_tree.num_simplices() << "\n"; +} -- cgit v1.2.3 From ba522fc8c114b2de36c4b399d74edce8883d2577 Mon Sep 17 00:00:00 2001 From: skachano Date: Mon, 30 Jan 2017 12:37:32 +0000 Subject: Added a line to doc following Clément's comment MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2026 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: a3d4afc6110079c9826045c9de61fab9bc52f31e --- src/Witness_complex/doc/Witness_complex_doc.h | 4 +++- src/Witness_complex/example/example_strong_witness_complex_off.cpp | 4 ++-- 2 files changed, 5 insertions(+), 3 deletions(-) diff --git a/src/Witness_complex/doc/Witness_complex_doc.h b/src/Witness_complex/doc/Witness_complex_doc.h index 247d862a..cd54887a 100644 --- a/src/Witness_complex/doc/Witness_complex_doc.h +++ b/src/Witness_complex/doc/Witness_complex_doc.h @@ -53,9 +53,11 @@ 2. Construct lists of nearest landmarks for each witness (special structure Gudhi::witness_complex::Active_witness is used internally). 3. Construct the witness complex for nearest landmark lists. + All the computations of nearest landmarks in Euclidean case are exact thanks to Gudhi::spatial_searching::Kd_tree_search data structure. + In the non-Euclidean classes, the lists of nearest landmarks are supposed to be given as input. - The constructors take on the step 1, while the function 'create_complex' executes the steps 2 and 3. + The constructors take on the steps 1 and 2, while the function 'create_complex' executes the step 3. \section witnessexample1 Example 1: Constructing weak relaxed witness complex from an off file diff --git a/src/Witness_complex/example/example_strong_witness_complex_off.cpp b/src/Witness_complex/example/example_strong_witness_complex_off.cpp index 80699e78..61b8bc4a 100644 --- a/src/Witness_complex/example/example_strong_witness_complex_off.cpp +++ b/src/Witness_complex/example/example_strong_witness_complex_off.cpp @@ -37,7 +37,7 @@ int main(int argc, char * const argv[]) { Point_vector point_vector, landmarks; Gudhi::Points_off_reader off_reader(file_name); if (!off_reader.is_valid()) { - std::cerr << "Witness complex - Unable to read file " << file_name << "\n"; + std::cerr << "Strong witness complex - Unable to read file " << file_name << "\n"; exit(-1); // ----- >> } point_vector = Point_vector(off_reader.get_point_cloud()); @@ -55,7 +55,7 @@ int main(int argc, char * const argv[]) { witness_complex.create_complex(simplex_tree, alpha2, lim_dim); end = clock(); - std::cout << "Witness complex took " + std::cout << "Strong witness complex took " << static_cast(end - start) / CLOCKS_PER_SEC << " s. \n"; std::cout << "Number of simplices is: " << simplex_tree.num_simplices() << "\n"; } -- cgit v1.2.3 From 5a4adcab18b7a577706cae7abfddc52a5cf8f1c5 Mon Sep 17 00:00:00 2001 From: skachano Date: Mon, 30 Jan 2017 12:44:11 +0000 Subject: Added the consts to Nearest_landmark_table_ parameters following the comment by Marc git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2027 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 44f5e50e3d21baa0ec70aef022a1394bcc35b7d2 --- src/Witness_complex/include/gudhi/Strong_witness_complex.h | 2 +- src/Witness_complex/include/gudhi/Witness_complex.h | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index f9d1d681..aae1bb43 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -79,7 +79,7 @@ private: * @param[in] nearest_landmark_table needs to be a range of a range of nearest landmarks. * The range of nearest landmarks should admit a member type 'iterator'. The dereference type * of the nearest landmark range iterator needs to be 'std::pair'. */ - Strong_witness_complex(Nearest_landmark_table_ & nearest_landmark_table) + Strong_witness_complex(Nearest_landmark_table_ const & nearest_landmark_table) : nearest_landmark_table_(nearest_landmark_table) { } diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 33c6c5d2..6741acde 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -81,7 +81,7 @@ private: * of the nearest landmark range iterator needs to be 'std::pair'. */ - Witness_complex(Nearest_landmark_table_ & nearest_landmark_table) + Witness_complex(Nearest_landmark_table_ const & nearest_landmark_table) : nearest_landmark_table_(nearest_landmark_table) { } -- cgit v1.2.3 From a63c390725163a69943a0f144f78659debb8ae09 Mon Sep 17 00:00:00 2001 From: skachano Date: Mon, 30 Jan 2017 14:22:57 +0000 Subject: Removed a line to doc following Clément's comment MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2028 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: ea36d149b9771bba2a40816e564ffde02080b931 --- src/Witness_complex/doc/Witness_complex_doc.h | 2 -- 1 file changed, 2 deletions(-) diff --git a/src/Witness_complex/doc/Witness_complex_doc.h b/src/Witness_complex/doc/Witness_complex_doc.h index cd54887a..171a185f 100644 --- a/src/Witness_complex/doc/Witness_complex_doc.h +++ b/src/Witness_complex/doc/Witness_complex_doc.h @@ -53,8 +53,6 @@ 2. Construct lists of nearest landmarks for each witness (special structure Gudhi::witness_complex::Active_witness is used internally). 3. Construct the witness complex for nearest landmark lists. - All the computations of nearest landmarks in Euclidean case are exact thanks to Gudhi::spatial_searching::Kd_tree_search data structure. - In the non-Euclidean classes, the lists of nearest landmarks are supposed to be given as input. The constructors take on the steps 1 and 2, while the function 'create_complex' executes the step 3. -- cgit v1.2.3 From ee78c169e19a75c180a27e7a9a29242e445533f9 Mon Sep 17 00:00:00 2001 From: cjamin Date: Mon, 30 Jan 2017 14:35:47 +0000 Subject: Missing word git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/trunk@2029 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 6260e9a89d40c8930ae723d80baef2a507ea41b6 --- src/Rips_complex/doc/Intro_rips_complex.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/Rips_complex/doc/Intro_rips_complex.h b/src/Rips_complex/doc/Intro_rips_complex.h index 64fd34bc..884a4eff 100644 --- a/src/Rips_complex/doc/Intro_rips_complex.h +++ b/src/Rips_complex/doc/Intro_rips_complex.h @@ -49,7 +49,7 @@ namespace rips_complex { * the complex. * * When creating a simplicial complex from this one skeleton graph, rips inserts the one skeleton graph into the data - * structure, and then expands the simplicial when required. + * structure, and then expands the simplicial complex when required. * * \image html "rips_complex_representation.png" "Rips-complex one skeleton graph representation" * -- cgit v1.2.3 From d563e5184b10c49aaf61b17fc9f7a04e36db1836 Mon Sep 17 00:00:00 2001 From: skachano Date: Wed, 1 Feb 2017 10:01:47 +0000 Subject: Added std::begin and end git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2039 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 7b1c85ff29b26fb1d0ffbac8f0b2e1f47166f466 --- src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h | 2 +- src/Witness_complex/include/gudhi/Euclidean_witness_complex.h | 2 +- src/Witness_complex/include/gudhi/Strong_witness_complex.h | 2 +- src/Witness_complex/include/gudhi/Witness_complex.h | 2 +- 4 files changed, 4 insertions(+), 4 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h b/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h index a5947219..56e4bce2 100644 --- a/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h @@ -81,7 +81,7 @@ private: typename WitnessRange > Euclidean_strong_witness_complex(const LandmarkRange & landmarks, const WitnessRange & witnesses) - : landmarks_(landmarks), landmark_tree_(landmarks_) + : landmarks_(std::begin(landmarks), std::end(landmarks)), landmark_tree_(landmarks_) { for (auto w: witnesses) nearest_landmark_table_.push_back(landmark_tree_.query_incremental_nearest_neighbors(w)); diff --git a/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h b/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h index 9845808e..c0be5512 100644 --- a/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h @@ -82,7 +82,7 @@ public: typename WitnessRange > Euclidean_witness_complex(const LandmarkRange & landmarks, const WitnessRange & witnesses) - : landmarks_(landmarks), landmark_tree_(landmarks) + : landmarks_(std::begin(landmarks), std::end(landmarks)), landmark_tree_(landmarks) { for (auto w: witnesses) nearest_landmark_table_.push_back(landmark_tree_.query_incremental_nearest_neighbors(w)); diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index aae1bb43..ca1c4db8 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -80,7 +80,7 @@ private: * The range of nearest landmarks should admit a member type 'iterator'. The dereference type * of the nearest landmark range iterator needs to be 'std::pair'. */ Strong_witness_complex(Nearest_landmark_table_ const & nearest_landmark_table) - : nearest_landmark_table_(nearest_landmark_table) + : nearest_landmark_table_(std::begin(nearest_landmark_table), std::end(nearest_landmark_table)) { } diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 6741acde..05a26f7f 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -82,7 +82,7 @@ private: */ Witness_complex(Nearest_landmark_table_ const & nearest_landmark_table) - : nearest_landmark_table_(nearest_landmark_table) + : nearest_landmark_table_(std::begin(nearest_landmark_table), std::end(nearest_landmark_table)) { } -- cgit v1.2.3 From 1f3217ef28ff163fdce9c7500b1e428247de820f Mon Sep 17 00:00:00 2001 From: skachano Date: Wed, 1 Feb 2017 10:03:15 +0000 Subject: Added std::begin and end git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2040 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 985782c21e31296bbd7395357b513c438b3034f3 --- src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h | 1 + src/Witness_complex/include/gudhi/Euclidean_witness_complex.h | 1 + 2 files changed, 2 insertions(+) diff --git a/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h b/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h index 56e4bce2..aad05547 100644 --- a/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h @@ -83,6 +83,7 @@ private: const WitnessRange & witnesses) : landmarks_(std::begin(landmarks), std::end(landmarks)), landmark_tree_(landmarks_) { + nearest_landmark_table_.reserve(boost::size(witnesses)); for (auto w: witnesses) nearest_landmark_table_.push_back(landmark_tree_.query_incremental_nearest_neighbors(w)); } diff --git a/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h b/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h index c0be5512..1ab48097 100644 --- a/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h @@ -84,6 +84,7 @@ public: const WitnessRange & witnesses) : landmarks_(std::begin(landmarks), std::end(landmarks)), landmark_tree_(landmarks) { + nearest_landmark_table_.reserve(boost::size(witnesses)); for (auto w: witnesses) nearest_landmark_table_.push_back(landmark_tree_.query_incremental_nearest_neighbors(w)); } -- cgit v1.2.3 From 2479359771875ee216de4962234aa5ea373978cc Mon Sep 17 00:00:00 2001 From: skachano Date: Wed, 1 Feb 2017 10:10:45 +0000 Subject: Removed next_it from strong git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2041 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 7f553a8df6f0f799c5094af9aba2ae361f77af92 --- src/Witness_complex/include/gudhi/Strong_witness_complex.h | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index ca1c4db8..5858d917 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -155,10 +155,10 @@ private: if (dim > 0) while (curr_it != vertices.end()) { simplex.push_back(*curr_it); - typename typeVectorVertex::iterator next_it = ++curr_it; + ++curr_it; add_all_faces_of_dimension(dim-1, vertices, - next_it, + curr_it, aw_it, filtration_value, simplex, @@ -166,7 +166,7 @@ private: simplex.pop_back(); add_all_faces_of_dimension(dim, vertices, - next_it, + curr_it, aw_it, filtration_value, simplex, -- cgit v1.2.3 From 1e65604043337b4bada05f431eb8f45a5691fae4 Mon Sep 17 00:00:00 2001 From: skachano Date: Wed, 1 Feb 2017 10:53:59 +0000 Subject: The rest of the comments git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2042 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 21b83788d916fdcf2ae265f73dad808b707066e6 --- .../concept/Simplicial_complex_for_witness.h | 36 ++++++++++++++++++++-- 1 file changed, 33 insertions(+), 3 deletions(-) diff --git a/src/Witness_complex/concept/Simplicial_complex_for_witness.h b/src/Witness_complex/concept/Simplicial_complex_for_witness.h index df294f19..1dee1a57 100644 --- a/src/Witness_complex/concept/Simplicial_complex_for_witness.h +++ b/src/Witness_complex/concept/Simplicial_complex_for_witness.h @@ -29,7 +29,7 @@ namespace witness_complex { /** \brief The concept SimplicialComplexForWitness describes the requirements * for a type to implement a simplicial complex, - * used for example to build a Witness_complex. + * used for example to build a Witness_complex or Strong_witness_complex. */ struct SimplicialComplexForWitness { /** Handle to specify a simplex. */ @@ -37,10 +37,14 @@ struct SimplicialComplexForWitness { /** Handle to specify a vertex. Must be a non-negative integer. */ typedef unspecified Vertex_handle; - /** Returns a Simplex_hanlde that is different from all simplex handles + /** \brief Returns a Simplex_hanlde that is different from all simplex handles * of the simplices. */ Simplex_handle null_simplex(); + /** Returns the number of vertices in the simplicial complex + */ + std::size_t num_vertices(); + /** \brief Iterator over the simplices of the complex, * in an arbitrary order. * @@ -68,16 +72,42 @@ struct SimplicialComplexForWitness { /** \brief Inserts a simplex with vertices from a given range * 'vertex_range' in the simplicial complex. + * The simplex is given the filtration value 'filtration'. + * Filtration_value should be convertible from double. + * The return type is not used. * */ template< typedef Input_vertex_range > - Insertion_result_type insert_simplex(Input_vertex_range const & vertex_range); + Insertion_result_type insert_simplex(Input_vertex_range const & vertex_range, Filtration_value filtration); + + /** \brief Inserts a simplex and all its faces + * with vertices from a given range + * 'vertex_range' in the simplicial complex. + * All inserted simplices are given the filtration + * value 'filtration'. + * Filtration_value should be convertible from double. + * The return type is not used. + */ + template< typedef Input_vertex_range, + typedef Filtration_value> + Insertion_result_type insert_simplex_and_subfaces(Input_vertex_range const & vertex_range, Filtration_value filtration); + /** \brief Finds a simplex with vertices given by a range * * If a simplex exists, its Simplex_handle is returned. * Otherwise null_simplex() is returned. */ template< typedef Input_vertex_range > Simplex_handle find(Input_vertex_range const & vertex_range); + + /** \brief Sets the dimension of the simplicial complex to + * 'dimension'. + */ + void set_dimension(int dimension); + + /** \brief Returns the filtration of the simplex given by + * the simplex handle 'sh'. + */ + double filtration(Simplex_handle sh); }; } // namespace witness_complex -- cgit v1.2.3 From e4a627b0675453fc88d3a43eef3bff663d3f8121 Mon Sep 17 00:00:00 2001 From: skachano Date: Wed, 1 Feb 2017 10:54:18 +0000 Subject: The rest of the comments git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2043 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 37e81613f87a77768bde47d3539a2dbc6bf3552b --- src/Witness_complex/include/gudhi/Strong_witness_complex.h | 13 +++++++------ src/Witness_complex/include/gudhi/Witness_complex.h | 14 +++++++------- 2 files changed, 14 insertions(+), 13 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index 5858d917..058b5bbc 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -41,9 +41,9 @@ namespace witness_complex { * \brief Constructs strong witness complex for a given table of nearest landmarks with respect to witnesses. * \ingroup witness_complex * - * \tparam Nearest_landmark_table_ needs to be a range of a range of nearest landmarks. - * The range of nearest landmarks should admit a member type 'iterator'. The dereference type - * of the nearest landmark range iterator needs to be 'std::pair'. + * \tparam Nearest_landmark_table_ needs to be a CopyConstructible range of a range of pairs of nearest landmarks and distances. + * The range of pairs must admit a member type 'iterator'. The dereference type + * of the pair range iterator needs to be 'std::pair'. */ template< class Nearest_landmark_table_ > class Strong_witness_complex { @@ -76,9 +76,10 @@ private: /** * \brief Initializes member variables before constructing simplicial complex. * \details Records nearest landmark table. - * @param[in] nearest_landmark_table needs to be a range of a range of nearest landmarks. - * The range of nearest landmarks should admit a member type 'iterator'. The dereference type - * of the nearest landmark range iterator needs to be 'std::pair'. */ + * @param[in] nearest_landmark_table needs to be a CopyConstructible range of a range of pairs of nearest landmarks and distances. + * The range of pairs must admit a member type 'iterator'. The dereference type + * of the pair range iterator needs to be 'std::pair'. + */ Strong_witness_complex(Nearest_landmark_table_ const & nearest_landmark_table) : nearest_landmark_table_(std::begin(nearest_landmark_table), std::end(nearest_landmark_table)) { diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 05a26f7f..a3436eba 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -42,9 +42,9 @@ namespace witness_complex { * \brief Constructs (weak) witness complex for a given table of nearest landmarks with respect to witnesses. * \ingroup witness_complex * - * \tparam Nearest_landmark_table_ needs to be a range of a range of nearest landmarks. - * The range of nearest landmarks should admit a member type 'iterator'. The dereference type - * of the nearest landmark range iterator needs to be 'std::pair'. + * \tparam Nearest_landmark_table_ needs to be a CopyConstructible range of a range of pairs of nearest landmarks and distances. + * The range of pairs must admit a member type 'iterator'. The dereference type + * of the pair range iterator needs to be 'std::pair'. */ template< class Nearest_landmark_table_ > class Witness_complex { @@ -76,9 +76,9 @@ private: /** * \brief Initializes member variables before constructing simplicial complex. * \details Records nearest landmark table. - * @param[in] nearest_landmark_table needs to be a range of a range of nearest landmarks. - * The range of nearest landmarks should admit a member type 'iterator'. The dereference type - * of the nearest landmark range iterator needs to be 'std::pair'. + * @param[in] nearest_landmark_table needs to be a CopyConstructible range of a range of pairs of nearest landmarks and distances. + * The range of pairs must admit a member type 'iterator'. The dereference type + * of the pair range iterator needs to be 'std::pair'. */ Witness_complex(Nearest_landmark_table_ const & nearest_landmark_table) @@ -99,7 +99,7 @@ private: template < typename SimplicialComplexForWitness > bool create_complex(SimplicialComplexForWitness& complex, double max_alpha_square, - Landmark_id limit_dimension = std::numeric_limits::max()) const + std::size_t limit_dimension = std::numeric_limits::max()) const { if (complex.num_vertices() > 0) { std::cerr << "Witness complex cannot create complex - complex is not empty.\n"; -- cgit v1.2.3 From 3a12263ce588039f6b67da06fa87173cc7fa5bae Mon Sep 17 00:00:00 2001 From: skachano Date: Wed, 1 Feb 2017 11:00:06 +0000 Subject: Removed some useless features from the concept git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2044 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 3625e06ddb3e5335b45248ea676aac70660d0804 --- .../concept/Simplicial_complex_for_witness.h | 44 +++++++++++----------- 1 file changed, 22 insertions(+), 22 deletions(-) diff --git a/src/Witness_complex/concept/Simplicial_complex_for_witness.h b/src/Witness_complex/concept/Simplicial_complex_for_witness.h index 1dee1a57..62a5526c 100644 --- a/src/Witness_complex/concept/Simplicial_complex_for_witness.h +++ b/src/Witness_complex/concept/Simplicial_complex_for_witness.h @@ -34,8 +34,8 @@ namespace witness_complex { struct SimplicialComplexForWitness { /** Handle to specify a simplex. */ typedef unspecified Simplex_handle; - /** Handle to specify a vertex. Must be a non-negative integer. */ - typedef unspecified Vertex_handle; + // /** Handle to specify a vertex. Must be a non-negative integer. */ + // typedef unspecified Vertex_handle; /** \brief Returns a Simplex_hanlde that is different from all simplex handles * of the simplices. */ @@ -45,26 +45,26 @@ struct SimplicialComplexForWitness { */ std::size_t num_vertices(); - /** \brief Iterator over the simplices of the complex, - * in an arbitrary order. - * - * 'value_type' must be 'Simplex_handle'.*/ - typedef unspecified Complex_simplex_range; - - /** - * \brief Returns a range over all the simplices of a - * complex. - */ - Complex_simplex_range complex_simplex_range(); - - /** \brief Iterator over vertices of a simplex. - * - * 'value type' must be 'Vertex_handle'.*/ - typedef unspecified Simplex_vertex_range; - - /** \brief Returns a range over vertices of a given - * simplex. */ - Simplex_vertex_range simplex_vertex_range(Simplex_handle const & simplex); + // /** \brief Iterator over the simplices of the complex, + // * in an arbitrary order. + // * + // * 'value_type' must be 'Simplex_handle'.*/ + // typedef unspecified Complex_simplex_range; + + // /** + // * \brief Returns a range over all the simplices of a + // * complex. + // */ + // Complex_simplex_range complex_simplex_range(); + + // /** \brief Iterator over vertices of a simplex. + // * + // * 'value type' must be 'Vertex_handle'.*/ + // typedef unspecified Simplex_vertex_range; + + // /** \brief Returns a range over vertices of a given + // * simplex. */ + // Simplex_vertex_range simplex_vertex_range(Simplex_handle const & simplex); /** \brief Return type of an insertion of a simplex */ -- cgit v1.2.3 From e4a4c6acf4d79fd0fe3817a36dd7bd4ce7845fb5 Mon Sep 17 00:00:00 2001 From: skachano Date: Thu, 2 Feb 2017 11:17:52 +0000 Subject: Changed the internal representation of Nearest landmark table git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2048 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 885b5d305cc9c66bd5719ad989a69027d78e1945 --- src/Witness_complex/include/gudhi/Strong_witness_complex.h | 3 ++- src/Witness_complex/include/gudhi/Witness_complex.h | 3 ++- 2 files changed, 4 insertions(+), 2 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index 058b5bbc..25b2f6e3 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -55,11 +55,12 @@ private: typedef Active_witness ActiveWitness; typedef std::list< ActiveWitness > ActiveWitnessList; typedef std::vector< Landmark_id > typeVectorVertex; + typedef std::vector Nearest_landmark_table_internal; typedef Landmark_id Vertex_handle; protected: - Nearest_landmark_table_ nearest_landmark_table_; + Nearest_landmark_table_internal nearest_landmark_table_; public: ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////// diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index a3436eba..8489083e 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -56,11 +56,12 @@ private: typedef Active_witness ActiveWitness; typedef std::list< ActiveWitness > ActiveWitnessList; typedef std::vector< Landmark_id > typeVectorVertex; + typedef std::vector Nearest_landmark_table_internal; typedef Landmark_id Vertex_handle; protected: - Nearest_landmark_table_ nearest_landmark_table_; + Nearest_landmark_table_internal nearest_landmark_table_; public: ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////// -- cgit v1.2.3 From bc2a24597b59d0e66856c97465310759ada80bd0 Mon Sep 17 00:00:00 2001 From: skachano Date: Thu, 2 Feb 2017 11:29:09 +0000 Subject: Fixed the doc git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2049 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: e3ef8165c38d7b3e3dd78bd5ca25e7e92a4139e3 --- src/Witness_complex/include/gudhi/Strong_witness_complex.h | 4 ++-- src/Witness_complex/include/gudhi/Witness_complex.h | 4 ++-- 2 files changed, 4 insertions(+), 4 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index 25b2f6e3..f58dff40 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -41,7 +41,7 @@ namespace witness_complex { * \brief Constructs strong witness complex for a given table of nearest landmarks with respect to witnesses. * \ingroup witness_complex * - * \tparam Nearest_landmark_table_ needs to be a CopyConstructible range of a range of pairs of nearest landmarks and distances. + * \tparam Nearest_landmark_table_ needs to be a range of a range of pairs of nearest landmarks and distances. * The range of pairs must admit a member type 'iterator'. The dereference type * of the pair range iterator needs to be 'std::pair'. */ @@ -77,7 +77,7 @@ private: /** * \brief Initializes member variables before constructing simplicial complex. * \details Records nearest landmark table. - * @param[in] nearest_landmark_table needs to be a CopyConstructible range of a range of pairs of nearest landmarks and distances. + * @param[in] nearest_landmark_table needs to be a range of a range of pairs of nearest landmarks and distances. * The range of pairs must admit a member type 'iterator'. The dereference type * of the pair range iterator needs to be 'std::pair'. */ diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 8489083e..103b131c 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -42,7 +42,7 @@ namespace witness_complex { * \brief Constructs (weak) witness complex for a given table of nearest landmarks with respect to witnesses. * \ingroup witness_complex * - * \tparam Nearest_landmark_table_ needs to be a CopyConstructible range of a range of pairs of nearest landmarks and distances. + * \tparam Nearest_landmark_table_ needs to be a range of a range of pairs of nearest landmarks and distances. * The range of pairs must admit a member type 'iterator'. The dereference type * of the pair range iterator needs to be 'std::pair'. */ @@ -77,7 +77,7 @@ private: /** * \brief Initializes member variables before constructing simplicial complex. * \details Records nearest landmark table. - * @param[in] nearest_landmark_table needs to be a CopyConstructible range of a range of pairs of nearest landmarks and distances. + * @param[in] nearest_landmark_table needs to be a range of a range of pairs of nearest landmarks and distances. * The range of pairs must admit a member type 'iterator'. The dereference type * of the pair range iterator needs to be 'std::pair'. */ -- cgit v1.2.3 From 0473df92a6f4d4253c44046b13bf6aba254987f6 Mon Sep 17 00:00:00 2001 From: skachano Date: Mon, 13 Feb 2017 11:13:16 +0000 Subject: Hid the Active_witness classes from doc git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2068 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: e37c1486076cf5a1699c643ac71db22934944eca --- .../include/gudhi/Active_witness/Active_witness.h | 8 ++++---- .../include/gudhi/Active_witness/Active_witness_iterator.h | 12 ++++++------ 2 files changed, 10 insertions(+), 10 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h index 08762fb3..bb6e1e6f 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h @@ -31,10 +31,10 @@ namespace Gudhi { namespace witness_complex { - // /** \class Active_witness - // * \brief Class representing a list of nearest neighbors to a given witness. - // * \details Every element is a pair of a landmark identifier and the squared distance to it. - // */ + /* \class Active_witness + * \brief Class representing a list of nearest neighbors to a given witness. + * \details Every element is a pair of a landmark identifier and the squared distance to it. + */ template< typename Id_distance_pair, typename INS_range > class Active_witness { diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h index d6ea6403..7f48faa4 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h @@ -30,12 +30,12 @@ namespace Gudhi { namespace witness_complex { - // /** \brief Iterator in the nearest landmark list. - // * \details After the iterator reaches the end of the list, - // * the list is augmented by a (nearest landmark, distance) pair if possible. - // * If all the landmarks are present in the list, iterator returns the specific end value - // * of the corresponding 'Active_witness' object. - // */ +/* \brief Iterator in the nearest landmark list. + * \details After the iterator reaches the end of the list, + * the list is augmented by a (nearest landmark, distance) pair if possible. + * If all the landmarks are present in the list, iterator returns the specific end value + * of the corresponding 'Active_witness' object. + */ template< typename Active_witness, typename Id_distance_pair, -- cgit v1.2.3 From 0669538ac4c6640202b2e819f3ae4924b199a26b Mon Sep 17 00:00:00 2001 From: skachano Date: Mon, 13 Feb 2017 16:04:14 +0000 Subject: Removed a useless comment and a dead line git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2073 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: cf13ae95d2757e5d274679107c0b40c185cf47c9 --- src/Witness_complex/include/gudhi/Active_witness/Active_witness.h | 1 - src/Witness_complex/include/gudhi/Witness_complex.h | 1 - 2 files changed, 2 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h index bb6e1e6f..c9f506d9 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h @@ -52,7 +52,6 @@ public: Active_witness(const INS_range& search_range) : search_range_(search_range), iterator_next_(search_range_.begin()), iterator_end_(search_range_.end()) { - //nearest_landmark_table_.push_back(*iterator_last_); } iterator begin() diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 103b131c..2c77ef77 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -114,7 +114,6 @@ private: std::cerr << "Witness complex cannot create complex - limit dimension must be non-negative.\n"; return false; } - typeVectorVertex vv; ActiveWitnessList active_witnesses; Landmark_id k = 0; /* current dimension in iterative construction */ for (auto w: nearest_landmark_table_) -- cgit v1.2.3 From 82337994c1a3f0b3ada14c1a939a68140f016db4 Mon Sep 17 00:00:00 2001 From: skachano Date: Mon, 13 Feb 2017 16:32:49 +0000 Subject: Removed another dead line git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2074 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 350daacf747a3e34b4ad0d6c132ef0a91ccc23c6 --- src/Witness_complex/include/gudhi/Witness_complex.h | 1 - 1 file changed, 1 deletion(-) diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index 2c77ef77..d95ff2a3 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -118,7 +118,6 @@ private: Landmark_id k = 0; /* current dimension in iterative construction */ for (auto w: nearest_landmark_table_) active_witnesses.push_back(ActiveWitness(w)); - ActiveWitness aw_copy(active_witnesses.front()); while (!active_witnesses.empty() && k <= limit_dimension ) { typename ActiveWitnessList::iterator aw_it = active_witnesses.begin(); std::vector simplex; -- cgit v1.2.3 From 81575612aaa0552307a6c744c327765ff89165e4 Mon Sep 17 00:00:00 2001 From: skachano Date: Mon, 20 Feb 2017 14:36:19 +0000 Subject: Hugely improved the complexity of the weak witness complex. git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2086 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 93fb1d9d1b52ce17b913db080b2ec0692056f87b --- src/Witness_complex/include/gudhi/Witness_complex.h | 8 -------- 1 file changed, 8 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index d95ff2a3..d808de57 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -181,14 +181,6 @@ private: // If norelax_dist is infinity, change to first omitted distance if (l_it->second <= norelax_dist2) norelax_dist2 = l_it->second; - typename ActiveWitness::iterator next_it = l_it; - will_be_active = add_all_faces_of_dimension(dim, - alpha2, - norelax_dist2, - ++next_it, - simplex, - sc, - end) || will_be_active; } else if (dim == 0) for (; l_it->second - alpha2 <= norelax_dist2 && l_it != end; ++l_it) { -- cgit v1.2.3 From 004bfb8ea845b5109252e7fa86103586eda8e146 Mon Sep 17 00:00:00 2001 From: skachano Date: Wed, 22 Feb 2017 16:53:01 +0000 Subject: Marc's review:1 git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2095 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 8a4f9c28d3d279f799b8706366559e2a39d11560 --- src/Witness_complex/include/gudhi/Strong_witness_complex.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index f58dff40..d7d0b2f0 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -118,7 +118,7 @@ private: typeVectorVertex simplex; typename ActiveWitness::iterator aw_it = aw.begin(); float lim_dist2 = aw.begin()->second + max_alpha_square; - while ((Landmark_id)simplex.size() < limit_dimension + 1 && aw_it != aw.end() && aw_it->second < lim_dist2) { + while ((Landmark_id)simplex.size() <= limit_dimension && aw_it != aw.end() && aw_it->second < lim_dist2) { simplex.push_back(aw_it->first); complex.insert_simplex_and_subfaces(simplex, aw_it->second - aw.begin()->second); aw_it++; -- cgit v1.2.3 From 5e3e1fee64f2d56d84997d5dcebd311c3841e7a5 Mon Sep 17 00:00:00 2001 From: skachano Date: Wed, 22 Feb 2017 17:05:38 +0000 Subject: Doc fix git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2096 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: a93d997f6d2fdef9a8e9dfad9720af5dae998828 --- .../concept/Simplicial_complex_for_witness.h | 21 --------------------- 1 file changed, 21 deletions(-) diff --git a/src/Witness_complex/concept/Simplicial_complex_for_witness.h b/src/Witness_complex/concept/Simplicial_complex_for_witness.h index 62a5526c..9cc1a3cd 100644 --- a/src/Witness_complex/concept/Simplicial_complex_for_witness.h +++ b/src/Witness_complex/concept/Simplicial_complex_for_witness.h @@ -45,27 +45,6 @@ struct SimplicialComplexForWitness { */ std::size_t num_vertices(); - // /** \brief Iterator over the simplices of the complex, - // * in an arbitrary order. - // * - // * 'value_type' must be 'Simplex_handle'.*/ - // typedef unspecified Complex_simplex_range; - - // /** - // * \brief Returns a range over all the simplices of a - // * complex. - // */ - // Complex_simplex_range complex_simplex_range(); - - // /** \brief Iterator over vertices of a simplex. - // * - // * 'value type' must be 'Vertex_handle'.*/ - // typedef unspecified Simplex_vertex_range; - - // /** \brief Returns a range over vertices of a given - // * simplex. */ - // Simplex_vertex_range simplex_vertex_range(Simplex_handle const & simplex); - /** \brief Return type of an insertion of a simplex */ typedef unspecified Insertion_result_type; -- cgit v1.2.3 From 618417f9844da70fc4408a05e8136d65c7979cdd Mon Sep 17 00:00:00 2001 From: skachano Date: Thu, 23 Feb 2017 10:55:57 +0000 Subject: Changed default limit_dim in Strong git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2098 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: aa467ec1ae98bc6a7131cc7daf9348e695086a7c --- src/Witness_complex/include/gudhi/Strong_witness_complex.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index d7d0b2f0..50ba8d0b 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -98,7 +98,7 @@ private: template < typename SimplicialComplexForWitness > bool create_complex(SimplicialComplexForWitness& complex, double max_alpha_square, - Landmark_id limit_dimension = std::numeric_limits::max()-1) const + Landmark_id limit_dimension = std::numeric_limits::max()) const { Landmark_id complex_dim = 0; if (complex.num_vertices() > 0) { -- cgit v1.2.3 From a627aaf34fccc458556d9a1522c1eae0350b78e1 Mon Sep 17 00:00:00 2001 From: skachano Date: Thu, 23 Feb 2017 11:01:01 +0000 Subject: Precisions in the simplicial complex concept git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2099 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: a58b657d4e3793016b01844d9da2dd9553a613e3 --- src/Witness_complex/concept/Simplicial_complex_for_witness.h | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/src/Witness_complex/concept/Simplicial_complex_for_witness.h b/src/Witness_complex/concept/Simplicial_complex_for_witness.h index 9cc1a3cd..d78cc83f 100644 --- a/src/Witness_complex/concept/Simplicial_complex_for_witness.h +++ b/src/Witness_complex/concept/Simplicial_complex_for_witness.h @@ -51,6 +51,9 @@ struct SimplicialComplexForWitness { /** \brief Inserts a simplex with vertices from a given range * 'vertex_range' in the simplicial complex. + * The function is only used in Witness_complex class + * and by construction, it is not necessary to check if + * the faces are in the simplicial complex before insertion. * The simplex is given the filtration value 'filtration'. * Filtration_value should be convertible from double. * The return type is not used. @@ -61,6 +64,7 @@ struct SimplicialComplexForWitness { /** \brief Inserts a simplex and all its faces * with vertices from a given range * 'vertex_range' in the simplicial complex. + * The function is only used in Strong_witness_complex class. * All inserted simplices are given the filtration * value 'filtration'. * Filtration_value should be convertible from double. -- cgit v1.2.3 From ea51646efd72e9edab55abae846100c7494916ca Mon Sep 17 00:00:00 2001 From: skachano Date: Thu, 23 Feb 2017 11:04:40 +0000 Subject: Added the copiable precision to the doc. git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2100 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 1892ed7c04219bee7e3dbf408d49d153d85fe10b --- src/Witness_complex/include/gudhi/Strong_witness_complex.h | 2 ++ src/Witness_complex/include/gudhi/Witness_complex.h | 6 ++++-- 2 files changed, 6 insertions(+), 2 deletions(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index 50ba8d0b..2f833ccd 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -42,6 +42,7 @@ namespace witness_complex { * \ingroup witness_complex * * \tparam Nearest_landmark_table_ needs to be a range of a range of pairs of nearest landmarks and distances. + * The class Nearest_landmark_table_::value_type must be a copiable range. * The range of pairs must admit a member type 'iterator'. The dereference type * of the pair range iterator needs to be 'std::pair'. */ @@ -78,6 +79,7 @@ private: * \brief Initializes member variables before constructing simplicial complex. * \details Records nearest landmark table. * @param[in] nearest_landmark_table needs to be a range of a range of pairs of nearest landmarks and distances. + * The class Nearest_landmark_table_::value_type must be a copiable range. * The range of pairs must admit a member type 'iterator'. The dereference type * of the pair range iterator needs to be 'std::pair'. */ diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index d808de57..c09e6af9 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -43,6 +43,7 @@ namespace witness_complex { * \ingroup witness_complex * * \tparam Nearest_landmark_table_ needs to be a range of a range of pairs of nearest landmarks and distances. + * The class Nearest_landmark_table_::value_type must be a copiable range. * The range of pairs must admit a member type 'iterator'. The dereference type * of the pair range iterator needs to be 'std::pair'. */ @@ -78,8 +79,9 @@ private: * \brief Initializes member variables before constructing simplicial complex. * \details Records nearest landmark table. * @param[in] nearest_landmark_table needs to be a range of a range of pairs of nearest landmarks and distances. - * The range of pairs must admit a member type 'iterator'. The dereference type - * of the pair range iterator needs to be 'std::pair'. + * The class Nearest_landmark_table_::value_type must be a copiable range. + * The range of pairs must admit a member type 'iterator'. The dereference type + * of the pair range iterator needs to be 'std::pair'. */ Witness_complex(Nearest_landmark_table_ const & nearest_landmark_table) -- cgit v1.2.3 From d7b82999427c89d3c326cfc71bdff488caf2704a Mon Sep 17 00:00:00 2001 From: skachano Date: Fri, 24 Feb 2017 10:43:17 +0000 Subject: Removed all_faces_in include git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2101 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 7d56b8c508be289dc84fe58c381596f4da45d0a2 --- src/Witness_complex/include/gudhi/Euclidean_witness_complex.h | 1 - 1 file changed, 1 deletion(-) diff --git a/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h b/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h index 1ab48097..146271f7 100644 --- a/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h @@ -26,7 +26,6 @@ #include #include #include -#include #include #include -- cgit v1.2.3 From b0859ffb8c5d030f3d37ba758a325250f1d1c982 Mon Sep 17 00:00:00 2001 From: glisse Date: Fri, 24 Feb 2017 14:23:48 +0000 Subject: Let choose_n_farthest_points output distances (optional). Drop unused CGAL includes. git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/trunk@2105 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: c5a34492a451c8455c42eb8db1c6c7ca5f1bc7b2 --- .../include/gudhi/choose_n_farthest_points.h | 57 +++++++++++----------- .../test/test_choose_n_farthest_points.cpp | 43 ++++++++++------ src/common/include/gudhi/Null_output_iterator.h | 48 ++++++++++++++++++ 3 files changed, 103 insertions(+), 45 deletions(-) create mode 100644 src/common/include/gudhi/Null_output_iterator.h diff --git a/src/Subsampling/include/gudhi/choose_n_farthest_points.h b/src/Subsampling/include/gudhi/choose_n_farthest_points.h index 5e908090..a77d0cd7 100644 --- a/src/Subsampling/include/gudhi/choose_n_farthest_points.h +++ b/src/Subsampling/include/gudhi/choose_n_farthest_points.h @@ -25,16 +25,10 @@ #include -#include - +#include #include -#include -#include -#include - #include -#include // for sort #include #include #include // for numeric_limits<> @@ -47,7 +41,7 @@ namespace subsampling { * \ingroup subsampling * \brief Subsample by a greedy strategy of iteratively adding the farthest point from the * current chosen point set to the subsampling. - * The iteration starts with the landmark `starting point`. + * The iteration starts with the landmark `starting point` or, if `starting point==-1`, with a random landmark. * \tparam Kernel must provide a type Kernel::Squared_distance_d which is a model of the * concept Kernel_d::Squared_distance_d @@ -55,24 +49,30 @@ namespace subsampling { * It must also contain a public member 'squared_distance_d_object' of this type. * \tparam Point_range Range whose value type is Kernel::Point_d. It must provide random-access * via `operator[]` and the points should be stored contiguously in memory. - * \tparam OutputIterator Output iterator whose value type is Kernel::Point_d. - * \details It chooses `final_size` points from a random access range `input_pts` and - * outputs it in the output iterator `output_it`. + * \tparam PointOutputIterator Output iterator whose value type is Kernel::Point_d. + * \tparam DistanceOutputIterator Output iterator for distances. + * \details It chooses `final_size` points from a random access range + * `input_pts` and outputs them in the output iterator `output_it`. It also + * outputs the distance from each of those points to the set of previous + * points in `dist_it`. * @param[in] k A kernel object. * @param[in] input_pts Const reference to the input points. * @param[in] final_size The size of the subsample to compute. * @param[in] starting_point The seed in the farthest point algorithm. - * @param[out] output_it The output iterator. + * @param[out] output_it The output iterator for points. + * @param[out] dist_it The optional output iterator for distances. * */ template < typename Kernel, typename Point_range, -typename OutputIterator> +typename PointOutputIterator, +typename DistanceOutputIterator=Null_output_iterator> void choose_n_farthest_points(Kernel const &k, Point_range const &input_pts, std::size_t final_size, std::size_t starting_point, - OutputIterator output_it) { + PointOutputIterator output_it, + DistanceOutputIterator dist_it={}) { std::size_t nb_points = boost::size(input_pts); if (final_size > nb_points) final_size = nb_points; @@ -81,6 +81,14 @@ void choose_n_farthest_points(Kernel const &k, if (final_size < 1) return; + if (starting_point == std::size_t(-1)) { + // Choose randomly the first landmark + std::random_device rd; + std::mt19937 gen(rd()); + std::uniform_int_distribution dis(0, (input_pts.size() - 1)); + starting_point = dis(gen); + } + typename Kernel::Squared_distance_d sqdist = k.squared_distance_d_object(); std::size_t current_number_of_landmarks = 0; // counter for landmarks @@ -92,6 +100,7 @@ void choose_n_farthest_points(Kernel const &k, for (current_number_of_landmarks = 0; current_number_of_landmarks != final_size; current_number_of_landmarks++) { // curr_max_w at this point is the next landmark *output_it++ = input_pts[curr_max_w]; + *dist_it++ = dist_to_L[curr_max_w]; std::size_t i = 0; for (auto& p : input_pts) { double curr_dist = sqdist(p, *(std::begin(input_pts) + curr_max_w)); @@ -121,7 +130,7 @@ void choose_n_farthest_points(Kernel const &k, * It must also contain a public member 'squared_distance_d_object' of this type. * \tparam Point_range Range whose value type is Kernel::Point_d. It must provide random-access * via `operator[]` and the points should be stored contiguously in memory. - * \tparam OutputIterator Output iterator whose value type is Kernel::Point_d. + * \tparam PointOutputIterator Output iterator whose value type is Kernel::Point_d. * \details It chooses `final_size` points from a random access range `input_pts` and * outputs it in the output iterator `output_it`. * @param[in] k A kernel object. @@ -132,22 +141,12 @@ void choose_n_farthest_points(Kernel const &k, */ template < typename Kernel, typename Point_range, -typename OutputIterator> +typename PointOutputIterator> void choose_n_farthest_points(Kernel const& k, Point_range const &input_pts, - unsigned final_size, - OutputIterator output_it) { - // Tests to the limit - if ((final_size < 1) || (input_pts.size() == 0)) - return; - - // Choose randomly the first landmark - std::random_device rd; - std::mt19937 gen(rd()); - std::uniform_int_distribution<> dis(0, (input_pts.size() - 1)); - std::size_t starting_point = dis(gen); - - choose_n_farthest_points(k, input_pts, final_size, starting_point, output_it); + std::size_t final_size, + PointOutputIterator output_it) { + choose_n_farthest_points(k, input_pts, final_size, -1, output_it); } } // namespace subsampling diff --git a/src/Subsampling/test/test_choose_n_farthest_points.cpp b/src/Subsampling/test/test_choose_n_farthest_points.cpp index 0bc0dff4..6bc5f7b0 100644 --- a/src/Subsampling/test/test_choose_n_farthest_points.cpp +++ b/src/Subsampling/test/test_choose_n_farthest_points.cpp @@ -70,34 +70,45 @@ BOOST_AUTO_TEST_CASE_TEMPLATE(test_choose_farthest_point_limits, Kernel, list_of typedef typename Kernel::FT FT; typedef typename Kernel::Point_d Point_d; std::vector< Point_d > points, landmarks; + std::vector< FT > distances; landmarks.clear(); Kernel k; // Choose -1 farthest points in an empty point cloud - Gudhi::subsampling::choose_n_farthest_points(k, points, -1, std::back_inserter(landmarks)); + Gudhi::subsampling::choose_n_farthest_points(k, points, -1, -1, std::back_inserter(landmarks), std::back_inserter(distances)); BOOST_CHECK(landmarks.size() == 0); - landmarks.clear(); + landmarks.clear(); distances.clear(); // Choose 0 farthest points in an empty point cloud - Gudhi::subsampling::choose_n_farthest_points(k, points, 0, std::back_inserter(landmarks)); + Gudhi::subsampling::choose_n_farthest_points(k, points, 0, -1, std::back_inserter(landmarks), std::back_inserter(distances)); BOOST_CHECK(landmarks.size() == 0); - landmarks.clear(); + landmarks.clear(); distances.clear(); // Choose 1 farthest points in an empty point cloud - Gudhi::subsampling::choose_n_farthest_points(k, points, 1, std::back_inserter(landmarks)); + Gudhi::subsampling::choose_n_farthest_points(k, points, 1, -1, std::back_inserter(landmarks), std::back_inserter(distances)); BOOST_CHECK(landmarks.size() == 0); - landmarks.clear(); + landmarks.clear(); distances.clear(); std::vector point({0.0, 0.0, 0.0, 0.0}); points.push_back(Point_d(point.begin(), point.end())); - // Choose -1 farthest points in an empty point cloud - Gudhi::subsampling::choose_n_farthest_points(k, points, -1, std::back_inserter(landmarks)); - BOOST_CHECK(landmarks.size() == 1); - landmarks.clear(); + // Choose -1 farthest points in a one point cloud + Gudhi::subsampling::choose_n_farthest_points(k, points, -1, -1, std::back_inserter(landmarks), std::back_inserter(distances)); + BOOST_CHECK(landmarks.size() == 1 && distances.size() == 1); + BOOST_CHECK(distances[0] == std::numeric_limits::infinity()); + landmarks.clear(); distances.clear(); // Choose 0 farthest points in a one point cloud - Gudhi::subsampling::choose_n_farthest_points(k, points, 0, std::back_inserter(landmarks)); - BOOST_CHECK(landmarks.size() == 0); - landmarks.clear(); + Gudhi::subsampling::choose_n_farthest_points(k, points, 0, -1, std::back_inserter(landmarks), std::back_inserter(distances)); + BOOST_CHECK(landmarks.size() == 0 && distances.size() == 0); + landmarks.clear(); distances.clear(); // Choose 1 farthest points in a one point cloud - Gudhi::subsampling::choose_n_farthest_points(k, points, 1, std::back_inserter(landmarks)); - BOOST_CHECK(landmarks.size() == 1); - landmarks.clear(); + Gudhi::subsampling::choose_n_farthest_points(k, points, 1, -1, std::back_inserter(landmarks), std::back_inserter(distances)); + BOOST_CHECK(landmarks.size() == 1 && distances.size() == 1); + BOOST_CHECK(distances[0] == std::numeric_limits::infinity()); + landmarks.clear(); distances.clear(); + std::vector point2({1.0, 0.0, 0.0, 0.0}); + points.push_back(Point_d(point2.begin(), point2.end())); + // Choose all farthest points in a one point cloud + Gudhi::subsampling::choose_n_farthest_points(k, points, -1, -1, std::back_inserter(landmarks), std::back_inserter(distances)); + BOOST_CHECK(landmarks.size() == 2 && distances.size() == 2); + BOOST_CHECK(distances[0] == std::numeric_limits::infinity()); + BOOST_CHECK(distances[1] == 1); + landmarks.clear(); distances.clear(); } diff --git a/src/common/include/gudhi/Null_output_iterator.h b/src/common/include/gudhi/Null_output_iterator.h new file mode 100644 index 00000000..0cf043cd --- /dev/null +++ b/src/common/include/gudhi/Null_output_iterator.h @@ -0,0 +1,48 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Marc Glisse + * + * Copyright (C) 2017 INRIA + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#ifndef NULL_OUTPUT_ITERATOR_H_ +#define NULL_OUTPUT_ITERATOR_H_ + +#include + +namespace Gudhi { + +/** An output iterator that ignores whatever it is given. */ +struct Null_output_iterator { + typedef std::output_iterator_tag iterator_category; + typedef void value_type; + typedef void difference_type; + typedef void pointer; + typedef void reference; + + Null_output_iterator& operator++(){return *this;} + Null_output_iterator operator++(int){return *this;} + struct proxy { + template + proxy& operator=(T&&){return *this;} + }; + proxy operator*()const{return {};} +}; +} // namespace Gudhi + +#endif // NULL_OUTPUT_ITERATOR_H_ -- cgit v1.2.3 From 18a13841ce995148b0c46a35ee9209626f6bf3d5 Mon Sep 17 00:00:00 2001 From: glisse Date: Fri, 24 Feb 2017 14:28:24 +0000 Subject: Revert previous commit, was supposed to go to a branch !!! git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/trunk@2106 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 59183c46120a19ad0a840dd57b7a4706a4d44bdd --- .../include/gudhi/choose_n_farthest_points.h | 57 +++++++++++----------- .../test/test_choose_n_farthest_points.cpp | 43 ++++++---------- src/common/include/gudhi/Null_output_iterator.h | 48 ------------------ 3 files changed, 45 insertions(+), 103 deletions(-) delete mode 100644 src/common/include/gudhi/Null_output_iterator.h diff --git a/src/Subsampling/include/gudhi/choose_n_farthest_points.h b/src/Subsampling/include/gudhi/choose_n_farthest_points.h index a77d0cd7..5e908090 100644 --- a/src/Subsampling/include/gudhi/choose_n_farthest_points.h +++ b/src/Subsampling/include/gudhi/choose_n_farthest_points.h @@ -25,10 +25,16 @@ #include -#include +#include + #include +#include +#include +#include + #include +#include // for sort #include #include #include // for numeric_limits<> @@ -41,7 +47,7 @@ namespace subsampling { * \ingroup subsampling * \brief Subsample by a greedy strategy of iteratively adding the farthest point from the * current chosen point set to the subsampling. - * The iteration starts with the landmark `starting point` or, if `starting point==-1`, with a random landmark. + * The iteration starts with the landmark `starting point`. * \tparam Kernel must provide a type Kernel::Squared_distance_d which is a model of the * concept Kernel_d::Squared_distance_d @@ -49,30 +55,24 @@ namespace subsampling { * It must also contain a public member 'squared_distance_d_object' of this type. * \tparam Point_range Range whose value type is Kernel::Point_d. It must provide random-access * via `operator[]` and the points should be stored contiguously in memory. - * \tparam PointOutputIterator Output iterator whose value type is Kernel::Point_d. - * \tparam DistanceOutputIterator Output iterator for distances. - * \details It chooses `final_size` points from a random access range - * `input_pts` and outputs them in the output iterator `output_it`. It also - * outputs the distance from each of those points to the set of previous - * points in `dist_it`. + * \tparam OutputIterator Output iterator whose value type is Kernel::Point_d. + * \details It chooses `final_size` points from a random access range `input_pts` and + * outputs it in the output iterator `output_it`. * @param[in] k A kernel object. * @param[in] input_pts Const reference to the input points. * @param[in] final_size The size of the subsample to compute. * @param[in] starting_point The seed in the farthest point algorithm. - * @param[out] output_it The output iterator for points. - * @param[out] dist_it The optional output iterator for distances. + * @param[out] output_it The output iterator. * */ template < typename Kernel, typename Point_range, -typename PointOutputIterator, -typename DistanceOutputIterator=Null_output_iterator> +typename OutputIterator> void choose_n_farthest_points(Kernel const &k, Point_range const &input_pts, std::size_t final_size, std::size_t starting_point, - PointOutputIterator output_it, - DistanceOutputIterator dist_it={}) { + OutputIterator output_it) { std::size_t nb_points = boost::size(input_pts); if (final_size > nb_points) final_size = nb_points; @@ -81,14 +81,6 @@ void choose_n_farthest_points(Kernel const &k, if (final_size < 1) return; - if (starting_point == std::size_t(-1)) { - // Choose randomly the first landmark - std::random_device rd; - std::mt19937 gen(rd()); - std::uniform_int_distribution dis(0, (input_pts.size() - 1)); - starting_point = dis(gen); - } - typename Kernel::Squared_distance_d sqdist = k.squared_distance_d_object(); std::size_t current_number_of_landmarks = 0; // counter for landmarks @@ -100,7 +92,6 @@ void choose_n_farthest_points(Kernel const &k, for (current_number_of_landmarks = 0; current_number_of_landmarks != final_size; current_number_of_landmarks++) { // curr_max_w at this point is the next landmark *output_it++ = input_pts[curr_max_w]; - *dist_it++ = dist_to_L[curr_max_w]; std::size_t i = 0; for (auto& p : input_pts) { double curr_dist = sqdist(p, *(std::begin(input_pts) + curr_max_w)); @@ -130,7 +121,7 @@ void choose_n_farthest_points(Kernel const &k, * It must also contain a public member 'squared_distance_d_object' of this type. * \tparam Point_range Range whose value type is Kernel::Point_d. It must provide random-access * via `operator[]` and the points should be stored contiguously in memory. - * \tparam PointOutputIterator Output iterator whose value type is Kernel::Point_d. + * \tparam OutputIterator Output iterator whose value type is Kernel::Point_d. * \details It chooses `final_size` points from a random access range `input_pts` and * outputs it in the output iterator `output_it`. * @param[in] k A kernel object. @@ -141,12 +132,22 @@ void choose_n_farthest_points(Kernel const &k, */ template < typename Kernel, typename Point_range, -typename PointOutputIterator> +typename OutputIterator> void choose_n_farthest_points(Kernel const& k, Point_range const &input_pts, - std::size_t final_size, - PointOutputIterator output_it) { - choose_n_farthest_points(k, input_pts, final_size, -1, output_it); + unsigned final_size, + OutputIterator output_it) { + // Tests to the limit + if ((final_size < 1) || (input_pts.size() == 0)) + return; + + // Choose randomly the first landmark + std::random_device rd; + std::mt19937 gen(rd()); + std::uniform_int_distribution<> dis(0, (input_pts.size() - 1)); + std::size_t starting_point = dis(gen); + + choose_n_farthest_points(k, input_pts, final_size, starting_point, output_it); } } // namespace subsampling diff --git a/src/Subsampling/test/test_choose_n_farthest_points.cpp b/src/Subsampling/test/test_choose_n_farthest_points.cpp index 6bc5f7b0..0bc0dff4 100644 --- a/src/Subsampling/test/test_choose_n_farthest_points.cpp +++ b/src/Subsampling/test/test_choose_n_farthest_points.cpp @@ -70,45 +70,34 @@ BOOST_AUTO_TEST_CASE_TEMPLATE(test_choose_farthest_point_limits, Kernel, list_of typedef typename Kernel::FT FT; typedef typename Kernel::Point_d Point_d; std::vector< Point_d > points, landmarks; - std::vector< FT > distances; landmarks.clear(); Kernel k; // Choose -1 farthest points in an empty point cloud - Gudhi::subsampling::choose_n_farthest_points(k, points, -1, -1, std::back_inserter(landmarks), std::back_inserter(distances)); + Gudhi::subsampling::choose_n_farthest_points(k, points, -1, std::back_inserter(landmarks)); BOOST_CHECK(landmarks.size() == 0); - landmarks.clear(); distances.clear(); + landmarks.clear(); // Choose 0 farthest points in an empty point cloud - Gudhi::subsampling::choose_n_farthest_points(k, points, 0, -1, std::back_inserter(landmarks), std::back_inserter(distances)); + Gudhi::subsampling::choose_n_farthest_points(k, points, 0, std::back_inserter(landmarks)); BOOST_CHECK(landmarks.size() == 0); - landmarks.clear(); distances.clear(); + landmarks.clear(); // Choose 1 farthest points in an empty point cloud - Gudhi::subsampling::choose_n_farthest_points(k, points, 1, -1, std::back_inserter(landmarks), std::back_inserter(distances)); + Gudhi::subsampling::choose_n_farthest_points(k, points, 1, std::back_inserter(landmarks)); BOOST_CHECK(landmarks.size() == 0); - landmarks.clear(); distances.clear(); + landmarks.clear(); std::vector point({0.0, 0.0, 0.0, 0.0}); points.push_back(Point_d(point.begin(), point.end())); - // Choose -1 farthest points in a one point cloud - Gudhi::subsampling::choose_n_farthest_points(k, points, -1, -1, std::back_inserter(landmarks), std::back_inserter(distances)); - BOOST_CHECK(landmarks.size() == 1 && distances.size() == 1); - BOOST_CHECK(distances[0] == std::numeric_limits::infinity()); - landmarks.clear(); distances.clear(); + // Choose -1 farthest points in an empty point cloud + Gudhi::subsampling::choose_n_farthest_points(k, points, -1, std::back_inserter(landmarks)); + BOOST_CHECK(landmarks.size() == 1); + landmarks.clear(); // Choose 0 farthest points in a one point cloud - Gudhi::subsampling::choose_n_farthest_points(k, points, 0, -1, std::back_inserter(landmarks), std::back_inserter(distances)); - BOOST_CHECK(landmarks.size() == 0 && distances.size() == 0); - landmarks.clear(); distances.clear(); + Gudhi::subsampling::choose_n_farthest_points(k, points, 0, std::back_inserter(landmarks)); + BOOST_CHECK(landmarks.size() == 0); + landmarks.clear(); // Choose 1 farthest points in a one point cloud - Gudhi::subsampling::choose_n_farthest_points(k, points, 1, -1, std::back_inserter(landmarks), std::back_inserter(distances)); - BOOST_CHECK(landmarks.size() == 1 && distances.size() == 1); - BOOST_CHECK(distances[0] == std::numeric_limits::infinity()); - landmarks.clear(); distances.clear(); + Gudhi::subsampling::choose_n_farthest_points(k, points, 1, std::back_inserter(landmarks)); + BOOST_CHECK(landmarks.size() == 1); + landmarks.clear(); - std::vector point2({1.0, 0.0, 0.0, 0.0}); - points.push_back(Point_d(point2.begin(), point2.end())); - // Choose all farthest points in a one point cloud - Gudhi::subsampling::choose_n_farthest_points(k, points, -1, -1, std::back_inserter(landmarks), std::back_inserter(distances)); - BOOST_CHECK(landmarks.size() == 2 && distances.size() == 2); - BOOST_CHECK(distances[0] == std::numeric_limits::infinity()); - BOOST_CHECK(distances[1] == 1); - landmarks.clear(); distances.clear(); } diff --git a/src/common/include/gudhi/Null_output_iterator.h b/src/common/include/gudhi/Null_output_iterator.h deleted file mode 100644 index 0cf043cd..00000000 --- a/src/common/include/gudhi/Null_output_iterator.h +++ /dev/null @@ -1,48 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Marc Glisse - * - * Copyright (C) 2017 INRIA - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#ifndef NULL_OUTPUT_ITERATOR_H_ -#define NULL_OUTPUT_ITERATOR_H_ - -#include - -namespace Gudhi { - -/** An output iterator that ignores whatever it is given. */ -struct Null_output_iterator { - typedef std::output_iterator_tag iterator_category; - typedef void value_type; - typedef void difference_type; - typedef void pointer; - typedef void reference; - - Null_output_iterator& operator++(){return *this;} - Null_output_iterator operator++(int){return *this;} - struct proxy { - template - proxy& operator=(T&&){return *this;} - }; - proxy operator*()const{return {};} -}; -} // namespace Gudhi - -#endif // NULL_OUTPUT_ITERATOR_H_ -- cgit v1.2.3 From 5709f808d1a3cf0960cccd4c91a2ffde44a5867b Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Tue, 28 Feb 2017 10:14:41 +0000 Subject: Move -DBOOST_ALL_DYN_LINK from persistence to global CMakeLists.txt (also required by witness) Add CGAL and Eigen3 required by Witness in main page Add examples to be tested for Witness git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2115 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 33fbdf3e970c35635ae2738c1ace801f077ec750 --- CMakeLists.txt | 2 + src/CMakeLists.txt | 2 + .../concept/SimplicialComplexForWitness.h | 100 +++++++++++++++++++++ .../concept/Simplicial_complex_for_witness.h | 100 --------------------- src/Witness_complex/example/CMakeLists.txt | 10 ++- src/common/doc/main_page.h | 2 + 6 files changed, 115 insertions(+), 101 deletions(-) create mode 100644 src/Witness_complex/concept/SimplicialComplexForWitness.h delete mode 100644 src/Witness_complex/concept/Simplicial_complex_for_witness.h diff --git a/CMakeLists.txt b/CMakeLists.txt index 1346f5d9..a71ad829 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -107,6 +107,8 @@ else() add_definitions(-DBOOST_RESULT_OF_USE_DECLTYPE) # BOOST ISSUE with Libraries name resolution under Windows add_definitions(-DBOOST_ALL_NO_LIB) + # problem with Visual Studio link on Boost program_options + add_definitions( -DBOOST_ALL_DYN_LINK ) INCLUDE_DIRECTORIES(${Boost_INCLUDE_DIRS}) LINK_DIRECTORIES(${Boost_LIBRARY_DIRS}) diff --git a/src/CMakeLists.txt b/src/CMakeLists.txt index eb349052..5430f9f8 100644 --- a/src/CMakeLists.txt +++ b/src/CMakeLists.txt @@ -90,6 +90,8 @@ else() add_definitions(-DBOOST_RESULT_OF_USE_DECLTYPE) # BOOST ISSUE with Libraries name resolution under Windows add_definitions(-DBOOST_ALL_NO_LIB) + # problem with Visual Studio link on Boost program_options + add_definitions( -DBOOST_ALL_DYN_LINK ) INCLUDE_DIRECTORIES(${Boost_INCLUDE_DIRS}) LINK_DIRECTORIES(${Boost_LIBRARY_DIRS}) diff --git a/src/Witness_complex/concept/SimplicialComplexForWitness.h b/src/Witness_complex/concept/SimplicialComplexForWitness.h new file mode 100644 index 00000000..d78cc83f --- /dev/null +++ b/src/Witness_complex/concept/SimplicialComplexForWitness.h @@ -0,0 +1,100 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2014 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + +#ifndef CONCEPT_WITNESS_COMPLEX_SIMPLICIAL_COMPLEX_FOR_WITNESS_H_ +#define CONCEPT_WITNESS_COMPLEX_SIMPLICIAL_COMPLEX_FOR_WITNESS_H_ + +namespace Gudhi { + +namespace witness_complex { + +/** \brief The concept SimplicialComplexForWitness describes the requirements + * for a type to implement a simplicial complex, + * used for example to build a Witness_complex or Strong_witness_complex. + */ +struct SimplicialComplexForWitness { + /** Handle to specify a simplex. */ + typedef unspecified Simplex_handle; + // /** Handle to specify a vertex. Must be a non-negative integer. */ + // typedef unspecified Vertex_handle; + + /** \brief Returns a Simplex_hanlde that is different from all simplex handles + * of the simplices. */ + Simplex_handle null_simplex(); + + /** Returns the number of vertices in the simplicial complex + */ + std::size_t num_vertices(); + + /** \brief Return type of an insertion of a simplex + */ + typedef unspecified Insertion_result_type; + + /** \brief Inserts a simplex with vertices from a given range + * 'vertex_range' in the simplicial complex. + * The function is only used in Witness_complex class + * and by construction, it is not necessary to check if + * the faces are in the simplicial complex before insertion. + * The simplex is given the filtration value 'filtration'. + * Filtration_value should be convertible from double. + * The return type is not used. + * */ + template< typedef Input_vertex_range > + Insertion_result_type insert_simplex(Input_vertex_range const & vertex_range, Filtration_value filtration); + + /** \brief Inserts a simplex and all its faces + * with vertices from a given range + * 'vertex_range' in the simplicial complex. + * The function is only used in Strong_witness_complex class. + * All inserted simplices are given the filtration + * value 'filtration'. + * Filtration_value should be convertible from double. + * The return type is not used. + */ + + template< typedef Input_vertex_range, + typedef Filtration_value> + Insertion_result_type insert_simplex_and_subfaces(Input_vertex_range const & vertex_range, Filtration_value filtration); + + /** \brief Finds a simplex with vertices given by a range + * + * If a simplex exists, its Simplex_handle is returned. + * Otherwise null_simplex() is returned. */ + template< typedef Input_vertex_range > + Simplex_handle find(Input_vertex_range const & vertex_range); + + /** \brief Sets the dimension of the simplicial complex to + * 'dimension'. + */ + void set_dimension(int dimension); + + /** \brief Returns the filtration of the simplex given by + * the simplex handle 'sh'. + */ + double filtration(Simplex_handle sh); +}; + +} // namespace witness_complex + +} // namespace Gudhi + +#endif // CONCEPT_WITNESS_COMPLEX_SIMPLICIAL_COMPLEX_FOR_WITNESS_H_ diff --git a/src/Witness_complex/concept/Simplicial_complex_for_witness.h b/src/Witness_complex/concept/Simplicial_complex_for_witness.h deleted file mode 100644 index d78cc83f..00000000 --- a/src/Witness_complex/concept/Simplicial_complex_for_witness.h +++ /dev/null @@ -1,100 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Siargey Kachanovich - * - * Copyright (C) 2014 INRIA Sophia Antipolis-Méditerranée (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see . - */ - -#ifndef CONCEPT_WITNESS_COMPLEX_SIMPLICIAL_COMPLEX_FOR_WITNESS_H_ -#define CONCEPT_WITNESS_COMPLEX_SIMPLICIAL_COMPLEX_FOR_WITNESS_H_ - -namespace Gudhi { - -namespace witness_complex { - -/** \brief The concept SimplicialComplexForWitness describes the requirements - * for a type to implement a simplicial complex, - * used for example to build a Witness_complex or Strong_witness_complex. - */ -struct SimplicialComplexForWitness { - /** Handle to specify a simplex. */ - typedef unspecified Simplex_handle; - // /** Handle to specify a vertex. Must be a non-negative integer. */ - // typedef unspecified Vertex_handle; - - /** \brief Returns a Simplex_hanlde that is different from all simplex handles - * of the simplices. */ - Simplex_handle null_simplex(); - - /** Returns the number of vertices in the simplicial complex - */ - std::size_t num_vertices(); - - /** \brief Return type of an insertion of a simplex - */ - typedef unspecified Insertion_result_type; - - /** \brief Inserts a simplex with vertices from a given range - * 'vertex_range' in the simplicial complex. - * The function is only used in Witness_complex class - * and by construction, it is not necessary to check if - * the faces are in the simplicial complex before insertion. - * The simplex is given the filtration value 'filtration'. - * Filtration_value should be convertible from double. - * The return type is not used. - * */ - template< typedef Input_vertex_range > - Insertion_result_type insert_simplex(Input_vertex_range const & vertex_range, Filtration_value filtration); - - /** \brief Inserts a simplex and all its faces - * with vertices from a given range - * 'vertex_range' in the simplicial complex. - * The function is only used in Strong_witness_complex class. - * All inserted simplices are given the filtration - * value 'filtration'. - * Filtration_value should be convertible from double. - * The return type is not used. - */ - - template< typedef Input_vertex_range, - typedef Filtration_value> - Insertion_result_type insert_simplex_and_subfaces(Input_vertex_range const & vertex_range, Filtration_value filtration); - - /** \brief Finds a simplex with vertices given by a range - * - * If a simplex exists, its Simplex_handle is returned. - * Otherwise null_simplex() is returned. */ - template< typedef Input_vertex_range > - Simplex_handle find(Input_vertex_range const & vertex_range); - - /** \brief Sets the dimension of the simplicial complex to - * 'dimension'. - */ - void set_dimension(int dimension); - - /** \brief Returns the filtration of the simplex given by - * the simplex handle 'sh'. - */ - double filtration(Simplex_handle sh); -}; - -} // namespace witness_complex - -} // namespace Gudhi - -#endif // CONCEPT_WITNESS_COMPLEX_SIMPLICIAL_COMPLEX_FOR_WITNESS_H_ diff --git a/src/Witness_complex/example/CMakeLists.txt b/src/Witness_complex/example/CMakeLists.txt index 320f3fba..c18d59d2 100644 --- a/src/Witness_complex/example/CMakeLists.txt +++ b/src/Witness_complex/example/CMakeLists.txt @@ -22,12 +22,20 @@ if(CGAL_FOUND) target_link_libraries(Witness_complex_example_nearest_landmark_table ${TBB_LIBRARIES}) endif() + add_test(Witness_complex_off_test_torus + ${CMAKE_CURRENT_BINARY_DIR}/Witness_complex_example_off + ${CMAKE_SOURCE_DIR}/data/points/tore3D_1307.off 20 1.0 3) + add_test(Witness_complex_strong_off_test_torus + ${CMAKE_CURRENT_BINARY_DIR}/Witness_complex_example_strong_off + ${CMAKE_SOURCE_DIR}/data/points/tore3D_1307.off 20 1.0 3) + add_test(Witness_complex_test_sphere_10 Witness_complex_example_sphere 10) add_test(Witness_complex_test_torus_persistence ${CMAKE_CURRENT_BINARY_DIR}/Witness_complex_example_witness_persistence ${CMAKE_SOURCE_DIR}/data/points/tore3D_1307.off -l 20 -a 0.5) - add_test(Witness_complex_test_torus_persistence + add_test(Witness_complex_strong_test_torus_persistence ${CMAKE_CURRENT_BINARY_DIR}/Witness_complex_example_strong_witness_persistence ${CMAKE_SOURCE_DIR}/data/points/tore3D_1307.off -l 20 -a 0.5) + add_test(Witness_complex_test_nearest_landmark_table Witness_complex_example_nearest_landmark_table) endif(EIGEN3_FOUND) endif (NOT CGAL_VERSION VERSION_LESS 4.6.0) endif() diff --git a/src/common/doc/main_page.h b/src/common/doc/main_page.h index 116aba09..e6323628 100644 --- a/src/common/doc/main_page.h +++ b/src/common/doc/main_page.h @@ -120,6 +120,7 @@ Author: Clément Jamin
Introduced in: GUDHI 1.4.0
Copyright: GPL v3
+ Requires: \ref cgal ≥ 4.8.0 and \ref eigen3 A Tangential Delaunay complex is a simplicial complex @@ -139,6 +140,7 @@ Author: Siargey Kachanovich
Introduced in: GUDHI 1.3.0
Copyright: GPL v3
+ Requires: \ref cgal ≥ 4.6.0 and \ref eigen3 Witness complex \f$ Wit(W,L) \f$ is a simplicial complex defined on two sets of points in \f$\mathbb{R}^D\f$. -- cgit v1.2.3 From 42451e635474bfbbf866927707d2acfb7e426928 Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Tue, 28 Feb 2017 12:12:39 +0000 Subject: Fix CppCheck git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2116 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 39094c55b9ccb3f09e344a6eff474c3373b13292 --- .../example/example_nearest_landmark_table.cpp | 31 +++++++++++++--------- .../include/gudhi/Active_witness/Active_witness.h | 6 ++--- .../gudhi/Active_witness/Active_witness_iterator.h | 18 ++++++------- .../include/gudhi/Witness_complex/all_faces_in.h | 6 ++--- 4 files changed, 34 insertions(+), 27 deletions(-) diff --git a/src/Witness_complex/example/example_nearest_landmark_table.cpp b/src/Witness_complex/example/example_nearest_landmark_table.cpp index becf74e7..b3883248 100644 --- a/src/Witness_complex/example/example_nearest_landmark_table.cpp +++ b/src/Witness_complex/example/example_nearest_landmark_table.cpp @@ -20,26 +20,33 @@ #include int main(int argc, char * const argv[]) { - typedef std::vector> Nearest_landmark_range; - typedef std::vector Nearest_landmark_table; - typedef Gudhi::witness_complex::Witness_complex Witness_complex; - - Gudhi::Simplex_tree<> simplex_tree; + using Nearest_landmark_range = std::vector>; + using Nearest_landmark_table = std::vector; + using Witness_complex = Gudhi::witness_complex::Witness_complex; + using Simplex_tree = Gudhi::Simplex_tree<>; + + Simplex_tree simplex_tree; Nearest_landmark_table nlt; // Example contains 5 witnesses and 5 landmarks - Nearest_landmark_range w0 = {std::make_pair(0,0), std::make_pair(1,1), std::make_pair(2,2), std::make_pair(3,3), std::make_pair(4,4)}; nlt.push_back(w0); - Nearest_landmark_range w1 = {std::make_pair(1,0), std::make_pair(2,1), std::make_pair(3,2), std::make_pair(4,3), std::make_pair(0,4)}; nlt.push_back(w1); - Nearest_landmark_range w2 = {std::make_pair(2,0), std::make_pair(3,1), std::make_pair(4,2), std::make_pair(0,3), std::make_pair(1,4)}; nlt.push_back(w2); - Nearest_landmark_range w3 = {std::make_pair(3,0), std::make_pair(4,1), std::make_pair(0,2), std::make_pair(1,3), std::make_pair(2,4)}; nlt.push_back(w3); - Nearest_landmark_range w4 = {std::make_pair(4,0), std::make_pair(0,1), std::make_pair(1,2), std::make_pair(2,3), std::make_pair(3,4)}; nlt.push_back(w4); + Nearest_landmark_range w0 = {std::make_pair(0, 0), std::make_pair(1, 1), std::make_pair(2, 2), + std::make_pair(3, 3), std::make_pair(4, 4)}; nlt.push_back(w0); + Nearest_landmark_range w1 = {std::make_pair(1, 0), std::make_pair(2, 1), std::make_pair(3, 2), + std::make_pair(4, 3), std::make_pair(0, 4)}; nlt.push_back(w1); + Nearest_landmark_range w2 = {std::make_pair(2, 0), std::make_pair(3, 1), std::make_pair(4, 2), + std::make_pair(0, 3), std::make_pair(1, 4)}; nlt.push_back(w2); + Nearest_landmark_range w3 = {std::make_pair(3, 0), std::make_pair(4, 1), std::make_pair(0, 2), + std::make_pair(1, 3), std::make_pair(2, 4)}; nlt.push_back(w3); + Nearest_landmark_range w4 = {std::make_pair(4, 0), std::make_pair(0, 1), std::make_pair(1, 2), + std::make_pair(2, 3), std::make_pair(3, 4)}; nlt.push_back(w4); Witness_complex witness_complex(nlt); witness_complex.create_complex(simplex_tree, 4.1); std::cout << "Number of simplices: " << simplex_tree.num_simplices() << std::endl; - - Gudhi::persistent_cohomology::Persistent_cohomology, Gudhi::persistent_cohomology::Field_Zp > pcoh(simplex_tree); + + using Field_Zp = Gudhi::persistent_cohomology::Field_Zp; + Gudhi::persistent_cohomology::Persistent_cohomology pcoh(simplex_tree); // initializes the coefficient field for homology pcoh.init_coefficients(11); diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h index c9f506d9..ffc1750f 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h @@ -20,8 +20,8 @@ * along with this program. If not, see . */ -#ifndef ACTIVE_WITNESS_H_ -#define ACTIVE_WITNESS_H_ +#ifndef ACTIVE_WITNESS_ACTIVE_WITNESS_H_ +#define ACTIVE_WITNESS_ACTIVE_WITNESS_H_ #include #include @@ -68,4 +68,4 @@ public: } } -#endif +#endif // ACTIVE_WITNESS_ACTIVE_WITNESS_H_ diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h index 7f48faa4..69a335fa 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h @@ -20,8 +20,8 @@ * along with this program. If not, see . */ -#ifndef ACTIVE_WITNESS_ITERATOR_H_ -#define ACTIVE_WITNESS_ITERATOR_H_ +#ifndef ACTIVE_WITNESS_ACTIVE_WITNESS_ITERATOR_H_ +#define ACTIVE_WITNESS_ACTIVE_WITNESS_ITERATOR_H_ #include #include @@ -67,9 +67,9 @@ public: { is_end_ = false; if (lh_ == aw_->nearest_landmark_table_.end()) { - if (aw_->iterator_next_ == aw_->iterator_end_) + if (aw_->iterator_next_ == aw_->iterator_end_) { is_end_ = true; - else { + } else { aw_->nearest_landmark_table_.push_back(*aw_->iterator_next_); lh_ = --aw_->nearest_landmark_table_.end(); ++(aw_->iterator_next_); @@ -97,9 +97,9 @@ private : lh_++; if (lh_ == aw_->nearest_landmark_table_.end()) { - if (aw_->iterator_next_ == aw_->iterator_end_) + if (aw_->iterator_next_ == aw_->iterator_end_) { is_end_ = true; - else { + } else { aw_->nearest_landmark_table_.push_back(*aw_->iterator_next_); lh_ = std::prev(aw_->nearest_landmark_table_.end()); ++(aw_->iterator_next_); @@ -108,7 +108,7 @@ private : } }; -} -} +} // namespace witness_complex +} // namespace Gudhi -#endif +#endif // ACTIVE_WITNESS_ACTIVE_WITNESS_ITERATOR_H_ diff --git a/src/Witness_complex/include/gudhi/Witness_complex/all_faces_in.h b/src/Witness_complex/include/gudhi/Witness_complex/all_faces_in.h index b69719a3..d009caca 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex/all_faces_in.h +++ b/src/Witness_complex/include/gudhi/Witness_complex/all_faces_in.h @@ -1,5 +1,5 @@ -#ifndef ALL_FACES_IN_H_ -#define ALL_FACES_IN_H_ +#ifndef WITNESS_COMPLEX_ALL_FACES_IN_H_ +#define WITNESS_COMPLEX_ALL_FACES_IN_H_ /* \brief Check if the facets of the k-dimensional simplex witnessed * by witness witness_id are already in the complex. @@ -32,4 +32,4 @@ template < typename SimplicialComplexForWitness, return true; } -#endif +#endif // WITNESS_COMPLEX_ALL_FACES_IN_H_ -- cgit v1.2.3 From 5739283e432afa2b181ba53256d394edca3111ac Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Tue, 28 Feb 2017 13:52:44 +0000 Subject: Fix cppcheck git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2117 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: fc572de6a1ee5bdc6f25b02ad26d88a4a453440a --- .../example/example_strong_witness_complex_off.cpp | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/src/Witness_complex/example/example_strong_witness_complex_off.cpp b/src/Witness_complex/example/example_strong_witness_complex_off.cpp index c9a3b543..6a4925b8 100644 --- a/src/Witness_complex/example/example_strong_witness_complex_off.cpp +++ b/src/Witness_complex/example/example_strong_witness_complex_off.cpp @@ -14,11 +14,11 @@ #include #include -typedef CGAL::Epick_d K; -typedef typename K::Point_d Point_d; +using K = CGAL::Epick_d; +using Point_d = typename K::Point_d; typedef typename Gudhi::witness_complex::Euclidean_strong_witness_complex Witness_complex; -typedef std::vector< typename Gudhi::Simplex_tree<>::Vertex_handle > typeVectorVertex; -typedef std::vector< Point_d > Point_vector; +using typeVectorVertex = std::vector< typename Gudhi::Simplex_tree<>::Vertex_handle >; +using Point_vector = std::vector< Point_d >; int main(int argc, char * const argv[]) { if (argc != 5) { @@ -41,7 +41,7 @@ int main(int argc, char * const argv[]) { exit(-1); // ----- >> } point_vector = Point_vector(off_reader.get_point_cloud()); - + std::cout << "Successfully read " << point_vector.size() << " points.\n"; std::cout << "Ambient dimension is " << point_vector[0].dimension() << ".\n"; -- cgit v1.2.3 From ba56545de435b62e0528d01fbde342bc4653da13 Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Tue, 28 Feb 2017 13:59:47 +0000 Subject: Fix cppcheck git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2118 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 5783a6de4bdb1fac8362f5badee204b37015da1d --- src/Witness_complex/include/gudhi/Strong_witness_complex.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index 2f833ccd..ad741794 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -190,4 +190,4 @@ private: } // namespace Gudhi -#endif +#endif // STRONG_WITNESS_COMPLEX_H_ -- cgit v1.2.3 From f2b63bcaa647d1ec839dbe2e5edbe5c4fde1b304 Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Tue, 28 Feb 2017 16:16:08 +0000 Subject: Fix cppcheck git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2120 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 49a5c2c6e94d9fbf235eecc92fa30e62980c7c70 --- .../example/example_nearest_landmark_table.cpp | 34 ++++++++++---- .../example/example_strong_witness_complex_off.cpp | 28 +++++++++-- .../example/example_strong_witness_persistence.cpp | 54 ++++++++++++++-------- .../example/example_witness_complex_off.cpp | 11 ++--- .../example_witness_complex_persistence.cpp | 22 +++++++++ .../example/example_witness_complex_sphere.cpp | 33 +++++++++---- src/Witness_complex/example/generators.h | 14 +++--- .../include/gudhi/Active_witness/Active_witness.h | 22 ++++----- .../gudhi/Active_witness/Active_witness_iterator.h | 41 ++++++++-------- .../gudhi/Euclidean_strong_witness_complex.h | 29 ++++++------ .../include/gudhi/Strong_witness_complex.h | 54 ++++++++++------------ .../include/gudhi/Witness_complex.h | 42 ++++++++--------- .../include/gudhi/Witness_complex/all_faces_in.h | 30 ++++++++++-- 13 files changed, 250 insertions(+), 164 deletions(-) diff --git a/src/Witness_complex/example/example_nearest_landmark_table.cpp b/src/Witness_complex/example/example_nearest_landmark_table.cpp index b3883248..65b675f9 100644 --- a/src/Witness_complex/example/example_nearest_landmark_table.cpp +++ b/src/Witness_complex/example/example_nearest_landmark_table.cpp @@ -1,16 +1,31 @@ -#define BOOST_PARAMETER_MAX_ARITY 12 - +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2016 INRIA (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ -#include -#include +#define BOOST_PARAMETER_MAX_ARITY 12 #include #include -#include #include -#include - #include #include #include @@ -24,6 +39,8 @@ int main(int argc, char * const argv[]) { using Nearest_landmark_table = std::vector; using Witness_complex = Gudhi::witness_complex::Witness_complex; using Simplex_tree = Gudhi::Simplex_tree<>; + using Field_Zp = Gudhi::persistent_cohomology::Field_Zp; + using Persistent_cohomology = Gudhi::persistent_cohomology::Persistent_cohomology; Simplex_tree simplex_tree; Nearest_landmark_table nlt; @@ -45,8 +62,7 @@ int main(int argc, char * const argv[]) { std::cout << "Number of simplices: " << simplex_tree.num_simplices() << std::endl; - using Field_Zp = Gudhi::persistent_cohomology::Field_Zp; - Gudhi::persistent_cohomology::Persistent_cohomology pcoh(simplex_tree); + Persistent_cohomology pcoh(simplex_tree); // initializes the coefficient field for homology pcoh.init_coefficients(11); diff --git a/src/Witness_complex/example/example_strong_witness_complex_off.cpp b/src/Witness_complex/example/example_strong_witness_complex_off.cpp index 6a4925b8..0ee9ee90 100644 --- a/src/Witness_complex/example/example_strong_witness_complex_off.cpp +++ b/src/Witness_complex/example/example_strong_witness_complex_off.cpp @@ -1,5 +1,24 @@ -#include -#include +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2016 INRIA (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ #include #include @@ -16,9 +35,8 @@ using K = CGAL::Epick_d; using Point_d = typename K::Point_d; -typedef typename Gudhi::witness_complex::Euclidean_strong_witness_complex Witness_complex; -using typeVectorVertex = std::vector< typename Gudhi::Simplex_tree<>::Vertex_handle >; -using Point_vector = std::vector< Point_d >; +using Witness_complex = Gudhi::witness_complex::Euclidean_strong_witness_complex; +using Point_vector = std::vector; int main(int argc, char * const argv[]) { if (argc != 5) { diff --git a/src/Witness_complex/example/example_strong_witness_persistence.cpp b/src/Witness_complex/example/example_strong_witness_persistence.cpp index d42603aa..5efe69fd 100644 --- a/src/Witness_complex/example/example_strong_witness_persistence.cpp +++ b/src/Witness_complex/example/example_strong_witness_persistence.cpp @@ -1,3 +1,25 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2016 INRIA (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + #include #include #include @@ -12,18 +34,17 @@ #include #include // infinity -using namespace Gudhi; -using namespace Gudhi::persistent_cohomology; +using K = CGAL::Epick_d; +using Point_d = K::Point_d; -typedef CGAL::Epick_d K; -typedef typename K::Point_d Point_d; +using Point_vector = std::vector; +using Strong_witness_complex = Gudhi::witness_complex::Euclidean_strong_witness_complex; +using SimplexTree = Gudhi::Simplex_tree<>; -typedef typename std::vector Point_vector; -typedef typename Gudhi::witness_complex::Euclidean_strong_witness_complex Strong_witness_complex; -typedef Gudhi::Simplex_tree<> SimplexTree; +using Filtration_value = SimplexTree::Filtration_value; -typedef int Vertex_handle; -typedef double Filtration_value; +using Field_Zp = Gudhi::persistent_cohomology::Field_Zp; +using Persistent_cohomology = Gudhi::persistent_cohomology::Persistent_cohomology; void program_options(int argc, char * argv[] , int & nbL @@ -61,9 +82,9 @@ int main(int argc, char * argv[]) { // Compute witness complex Strong_witness_complex strong_witness_complex(landmarks, witnesses); - + strong_witness_complex.create_complex(simplex_tree, max_squared_alpha, lim_d); - + std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; std::cout << " and has dimension " << simplex_tree.dimension() << " \n"; @@ -71,7 +92,7 @@ int main(int argc, char * argv[]) { simplex_tree.initialize_filtration(); // Compute the persistence diagram of the complex - persistent_cohomology::Persistent_cohomology pcoh(simplex_tree); + Persistent_cohomology pcoh(simplex_tree); // initializes the coefficient field for homology pcoh.init_coefficients(p); @@ -89,7 +110,6 @@ int main(int argc, char * argv[]) { return 0; } - void program_options(int argc, char * argv[] , int & nbL , std::string & file_name @@ -98,14 +118,12 @@ void program_options(int argc, char * argv[] , int & p , int & dim_max , Filtration_value & min_persistence) { - namespace po = boost::program_options; - + po::options_description hidden("Hidden options"); hidden.add_options() ("input-file", po::value(&file_name), "Name of file containing a point set in off format."); - po::options_description visible("Allowed options", 100); visible.add_options() @@ -122,7 +140,7 @@ void program_options(int argc, char * argv[] "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length intervals") ("cpx-dimension,d", po::value(&dim_max)->default_value(std::numeric_limits::max()), "Maximal dimension of the strong witness complex we want to compute."); - + po::positional_options_description pos; pos.add("input-file", 1); @@ -133,7 +151,7 @@ void program_options(int argc, char * argv[] po::store(po::command_line_parser(argc, argv). options(all).positional(pos).run(), vm); po::notify(vm); - + if (vm.count("help") || !vm.count("input-file")) { std::cout << std::endl; std::cout << "Compute the persistent homology with coefficient field Z/pZ \n"; diff --git a/src/Witness_complex/example/example_witness_complex_off.cpp b/src/Witness_complex/example/example_witness_complex_off.cpp index 38c6bedc..b36dac0d 100644 --- a/src/Witness_complex/example/example_witness_complex_off.cpp +++ b/src/Witness_complex/example/example_witness_complex_off.cpp @@ -14,11 +14,10 @@ #include #include -typedef CGAL::Epick_d K; -typedef typename K::Point_d Point_d; -typedef typename Gudhi::witness_complex::Euclidean_witness_complex Witness_complex; -typedef std::vector< typename Gudhi::Simplex_tree<>::Vertex_handle > typeVectorVertex; -typedef std::vector< Point_d > Point_vector; +using K = CGAL::Epick_d; +using Point_d = K::Point_d; +using Witness_complex = Gudhi::witness_complex::Euclidean_witness_complex; +using Point_vector = std::vector< Point_d >; int main(int argc, char * const argv[]) { if (argc != 5) { @@ -41,7 +40,7 @@ int main(int argc, char * const argv[]) { exit(-1); // ----- >> } point_vector = Point_vector(off_reader.get_point_cloud()); - + std::cout << "Successfully read " << point_vector.size() << " points.\n"; std::cout << "Ambient dimension is " << point_vector[0].dimension() << ".\n"; diff --git a/src/Witness_complex/example/example_witness_complex_persistence.cpp b/src/Witness_complex/example/example_witness_complex_persistence.cpp index fbb18cb4..364a114a 100644 --- a/src/Witness_complex/example/example_witness_complex_persistence.cpp +++ b/src/Witness_complex/example/example_witness_complex_persistence.cpp @@ -1,3 +1,25 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2016 INRIA (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + #include #include #include diff --git a/src/Witness_complex/example/example_witness_complex_sphere.cpp b/src/Witness_complex/example/example_witness_complex_sphere.cpp index 1ea9408c..06fe3889 100644 --- a/src/Witness_complex/example/example_witness_complex_sphere.cpp +++ b/src/Witness_complex/example/example_witness_complex_sphere.cpp @@ -1,8 +1,26 @@ -#define BOOST_PARAMETER_MAX_ARITY 12 - +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2016 INRIA (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ -#include -#include +#define BOOST_PARAMETER_MAX_ARITY 12 #include #include @@ -32,8 +50,9 @@ void write_data(Data_range & data, std::string filename) { } int main(int argc, char * const argv[]) { - typedef Gudhi::witness_complex::Euclidean_witness_complex> Witness_complex; - + using Kernel = CGAL::Epick_d; + using Witness_complex = Gudhi::witness_complex::Euclidean_witness_complex; + if (argc != 2) { std::cerr << "Usage: " << argv[0] << " number_of_landmarks \n"; @@ -66,8 +85,6 @@ int main(int argc, char * const argv[]) { double time = static_cast(end - start) / CLOCKS_PER_SEC; std::cout << "Witness complex for " << number_of_landmarks << " landmarks took " << time << " s. \n"; - //assert(1 == 0); - //std::cout << simplex_tree << "\n"; std::cout << "Number of simplices is: " << simplex_tree.num_simplices() << "\n"; l_time.push_back(std::make_pair(nbP, time)); } diff --git a/src/Witness_complex/example/generators.h b/src/Witness_complex/example/generators.h index 731a52b0..7df43db5 100644 --- a/src/Witness_complex/example/generators.h +++ b/src/Witness_complex/example/generators.h @@ -32,12 +32,12 @@ #include #include -typedef CGAL::Epick_d K; -typedef K::FT FT; -typedef K::Point_d Point_d; -typedef std::vector Point_Vector; -typedef CGAL::Random_points_in_cube_d Random_cube_iterator; -typedef CGAL::Random_points_in_ball_d Random_point_iterator; +using K = CGAL::Epick_d; +using FT = K::FT; +using Point_d = K::Point_d; +using Point_Vector = std::vector; +using Random_cube_iterator = CGAL::Random_points_in_cube_d; +using Random_point_iterator = CGAL::Random_points_in_ball_d; /** * \brief Rock age method of reading off file @@ -155,7 +155,7 @@ void generate_points_torus(Point_Vector& W, int nbP, int dim) { for (int i = 0; i < nbP; i++) { std::vector point; for (int j = 0; j < dim; j++) { - double alpha = rand.uniform_real((double)0, 2*pi); + double alpha = rand.uniform_real(static_cast(0), 2*pi); point.push_back(sin(alpha)); point.push_back(cos(alpha)); } diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h index ffc1750f..d41a6811 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness.h @@ -24,8 +24,7 @@ #define ACTIVE_WITNESS_ACTIVE_WITNESS_H_ #include -#include -#include +#include namespace Gudhi { @@ -38,7 +37,7 @@ namespace witness_complex { template< typename Id_distance_pair, typename INS_range > class Active_witness { -public: + public: typedef Active_witness ActiveWitness; typedef typename INS_range::iterator INS_iterator; typedef Active_witness_iterator< ActiveWitness, Id_distance_pair, INS_iterator > iterator; @@ -50,22 +49,19 @@ public: INS_iterator iterator_end_; Active_witness(const INS_range& search_range) - : search_range_(search_range), iterator_next_(search_range_.begin()), iterator_end_(search_range_.end()) - { + : search_range_(search_range), iterator_next_(search_range_.begin()), iterator_end_(search_range_.end()) { } - - iterator begin() - { + + iterator begin() { return iterator(this, nearest_landmark_table_.begin()); } - iterator end() - { + iterator end() { return iterator(this); } }; -} -} - +} // namespace witness_complex +} // namespace Gudhi + #endif // ACTIVE_WITNESS_ACTIVE_WITNESS_H_ diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h index 69a335fa..4e29a40d 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h @@ -24,7 +24,7 @@ #define ACTIVE_WITNESS_ACTIVE_WITNESS_ITERATOR_H_ #include -#include +#include namespace Gudhi { @@ -41,30 +41,29 @@ template< typename Active_witness, typename Id_distance_pair, typename INS_iterator > class Active_witness_iterator - : public boost::iterator_facade< Active_witness_iterator -, Id_distance_pair const -, boost::forward_traversal_tag -, Id_distance_pair const> { + : public boost::iterator_facade< Active_witness_iterator , + Id_distance_pair const, + boost::forward_traversal_tag, + Id_distance_pair const> { friend class boost::iterator_core_access; - + //typedef Active_witness Active_witness; typedef typename std::list::iterator Pair_iterator; - typedef typename Gudhi::witness_complex::Active_witness_iterator Iterator; - - + typedef typename Gudhi::witness_complex::Active_witness_iterator Iterator; + Active_witness *aw_; Pair_iterator lh_; // landmark handle bool is_end_; // true only if the pointer is end and there are no more neighbors to add -public: + public: Active_witness_iterator(Active_witness* aw) - : aw_(aw), lh_(aw_->nearest_landmark_table_.end()), is_end_(true) - { + : aw_(aw), lh_(aw_->nearest_landmark_table_.end()), is_end_(true) { } Active_witness_iterator(Active_witness* aw, const Pair_iterator& lh) - : aw_(aw), lh_(lh) - { + : aw_(aw), lh_(lh) { is_end_ = false; if (lh_ == aw_->nearest_landmark_table_.end()) { if (aw_->iterator_next_ == aw_->iterator_end_) { @@ -76,21 +75,17 @@ public: } } } - -private : - Id_distance_pair& dereference() const - { + private : + Id_distance_pair& dereference() const { return *lh_; } - bool equal(const Iterator& other) const - { + bool equal(const Iterator& other) const { return (is_end_ == other.is_end_) || (lh_ == other.lh_); } - - void increment() - { + + void increment() { // the neighbor search can't be at the end iterator of a list GUDHI_CHECK(!is_end_ && lh_ != aw_->nearest_landmark_table_.end(), std::logic_error("Wrong active witness increment.")); // if the id of the current landmark is the same as the last one diff --git a/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h b/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h index aad05547..6870c183 100644 --- a/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h @@ -23,17 +23,15 @@ #ifndef EUCLIDEAN_STRONG_WITNESS_COMPLEX_H_ #define EUCLIDEAN_STRONG_WITNESS_COMPLEX_H_ -#include -#include -#include -#include - #include #include #include +#include +#include + namespace Gudhi { - + namespace witness_complex { /** @@ -46,8 +44,10 @@ namespace witness_complex { * href="http://doc.cgal.org/latest/Kernel_d/classCGAL_1_1Epick__d.html">CGAL::Epick_d class. */ template< class Kernel_ > -class Euclidean_strong_witness_complex : public Strong_witness_complex>::INS_range>> { -private: +class Euclidean_strong_witness_complex + : public Strong_witness_complex>::INS_range>> { + private: typedef Kernel_ K; typedef typename K::Point_d Point_d; typedef std::vector Point_range; @@ -58,12 +58,12 @@ private: typedef typename Nearest_landmark_range::Point_with_transformed_distance Id_distance_pair; typedef typename Id_distance_pair::first_type Landmark_id; typedef Landmark_id Vertex_handle; - + private: Point_range landmarks_; Kd_tree landmark_tree_; using Strong_witness_complex::nearest_landmark_table_; - + public: ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////// /* @name Constructor @@ -81,22 +81,19 @@ private: typename WitnessRange > Euclidean_strong_witness_complex(const LandmarkRange & landmarks, const WitnessRange & witnesses) - : landmarks_(std::begin(landmarks), std::end(landmarks)), landmark_tree_(landmarks_) - { + : landmarks_(std::begin(landmarks), std::end(landmarks)), landmark_tree_(landmarks_) { nearest_landmark_table_.reserve(boost::size(witnesses)); for (auto w: witnesses) nearest_landmark_table_.push_back(landmark_tree_.query_incremental_nearest_neighbors(w)); } - /** \brief Returns the point corresponding to the given vertex. */ template - Point_d get_point( Vertex_handle vertex ) const - { + Point_d get_point(Vertex_handle vertex) const { return landmarks_[vertex]; } - + //@} }; diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index ad741794..3fbbb366 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -23,20 +23,19 @@ #ifndef STRONG_WITNESS_COMPLEX_H_ #define STRONG_WITNESS_COMPLEX_H_ +#include +#include + #include #include #include #include -#include -#include - namespace Gudhi { - + namespace witness_complex { -/** - * \private +/* \private * \class Strong_witness_complex * \brief Constructs strong witness complex for a given table of nearest landmarks with respect to witnesses. * \ingroup witness_complex @@ -48,7 +47,7 @@ namespace witness_complex { */ template< class Nearest_landmark_table_ > class Strong_witness_complex { -private: + private: typedef typename Nearest_landmark_table_::value_type Nearest_landmark_range; typedef std::size_t Witness_id; typedef std::size_t Landmark_id; @@ -57,12 +56,11 @@ private: typedef std::list< ActiveWitness > ActiveWitnessList; typedef std::vector< Landmark_id > typeVectorVertex; typedef std::vector Nearest_landmark_table_internal; - typedef Landmark_id Vertex_handle; - + protected: Nearest_landmark_table_internal nearest_landmark_table_; - + public: ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////// /* @name Constructor @@ -70,11 +68,9 @@ private: //@{ - Strong_witness_complex() - { + Strong_witness_complex() { } - /** * \brief Initializes member variables before constructing simplicial complex. * \details Records nearest landmark table. @@ -84,10 +80,9 @@ private: * of the pair range iterator needs to be 'std::pair'. */ Strong_witness_complex(Nearest_landmark_table_ const & nearest_landmark_table) - : nearest_landmark_table_(std::begin(nearest_landmark_table), std::end(nearest_landmark_table)) - { + : nearest_landmark_table_(std::begin(nearest_landmark_table), std::end(nearest_landmark_table)) { } - + /** \brief Outputs the strong witness complex of relaxation 'max_alpha_square' * in a simplicial complex data structure. * \details The function returns true if the construction is successful and false otherwise. @@ -100,15 +95,15 @@ private: template < typename SimplicialComplexForWitness > bool create_complex(SimplicialComplexForWitness& complex, double max_alpha_square, - Landmark_id limit_dimension = std::numeric_limits::max()) const - { + Landmark_id limit_dimension = std::numeric_limits::max()) const { Landmark_id complex_dim = 0; if (complex.num_vertices() > 0) { std::cerr << "Strong witness complex cannot create complex - complex is not empty.\n"; return false; } if (max_alpha_square < 0) { - std::cerr << "Strong witness complex cannot create complex - squared relaxation parameter must be non-negative.\n"; + std::cerr << "Strong witness complex cannot create complex - squared relaxation parameter must be " + << "non-negative.\n"; return false; } if (limit_dimension < 0) { @@ -129,7 +124,8 @@ private: typeVectorVertex& vertices = simplex; //'simplex' now will be called vertices while (aw_it != aw.end() && aw_it->second < lim_dist2) { typeVectorVertex facet = {}; - add_all_faces_of_dimension(limit_dimension, vertices, vertices.begin(), aw_it, aw_it->second - aw.begin()->second, facet, complex); + add_all_faces_of_dimension(limit_dimension, vertices, vertices.begin(), aw_it, + aw_it->second - aw.begin()->second, facet, complex); vertices.push_back(aw_it->first); aw_it++; } @@ -140,13 +136,12 @@ private: return true; } -private: - + private: /* \brief Adds recursively all the faces of a certain dimension dim-1 witnessed by the same witness. - * Iterator is needed to know until how far we can take landmarks to form simplexes. - * simplex is the prefix of the simplexes to insert. - * The landmark pointed by aw_it is added to all formed simplices. - */ + * Iterator is needed to know until how far we can take landmarks to form simplexes. + * simplex is the prefix of the simplexes to insert. + * The landmark pointed by aw_it is added to all formed simplices. + */ template < typename SimplicialComplexForWitness > void add_all_faces_of_dimension(Landmark_id dim, typeVectorVertex& vertices, @@ -154,9 +149,8 @@ private: typename ActiveWitness::iterator aw_it, double filtration_value, typeVectorVertex& simplex, - SimplicialComplexForWitness& sc) const - { - if (dim > 0) + SimplicialComplexForWitness& sc) const { + if (dim > 0) { while (curr_it != vertices.end()) { simplex.push_back(*curr_it); ++curr_it; @@ -176,7 +170,7 @@ private: simplex, sc); } - else if (dim == 0) { + } else if (dim == 0) { simplex.push_back(aw_it->first); sc.insert_simplex_and_subfaces(simplex, filtration_value); simplex.pop_back(); diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index c09e6af9..c0506367 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -33,7 +33,7 @@ #include namespace Gudhi { - + namespace witness_complex { /** @@ -49,7 +49,7 @@ namespace witness_complex { */ template< class Nearest_landmark_table_ > class Witness_complex { -private: + private: typedef typename Nearest_landmark_table_::value_type Nearest_landmark_range; typedef std::size_t Witness_id; typedef std::size_t Landmark_id; @@ -58,12 +58,11 @@ private: typedef std::list< ActiveWitness > ActiveWitnessList; typedef std::vector< Landmark_id > typeVectorVertex; typedef std::vector Nearest_landmark_table_internal; - typedef Landmark_id Vertex_handle; protected: Nearest_landmark_table_internal nearest_landmark_table_; - + public: ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////// /* @name Constructor @@ -71,10 +70,9 @@ private: //@{ - Witness_complex() - { + Witness_complex() { } - + /** * \brief Initializes member variables before constructing simplicial complex. * \details Records nearest landmark table. @@ -85,11 +83,9 @@ private: */ Witness_complex(Nearest_landmark_table_ const & nearest_landmark_table) - : nearest_landmark_table_(std::begin(nearest_landmark_table), std::end(nearest_landmark_table)) - { + : nearest_landmark_table_(std::begin(nearest_landmark_table), std::end(nearest_landmark_table)) { } - /** \brief Outputs the (weak) witness complex of relaxation 'max_alpha_square' * in a simplicial complex data structure. * \details The function returns true if the construction is successful and false otherwise. @@ -102,8 +98,7 @@ private: template < typename SimplicialComplexForWitness > bool create_complex(SimplicialComplexForWitness& complex, double max_alpha_square, - std::size_t limit_dimension = std::numeric_limits::max()) const - { + std::size_t limit_dimension = std::numeric_limits::max()) const { if (complex.num_vertices() > 0) { std::cerr << "Witness complex cannot create complex - complex is not empty.\n"; return false; @@ -118,9 +113,9 @@ private: } ActiveWitnessList active_witnesses; Landmark_id k = 0; /* current dimension in iterative construction */ - for (auto w: nearest_landmark_table_) + for (auto w : nearest_landmark_table_) active_witnesses.push_back(ActiveWitness(w)); - while (!active_witnesses.empty() && k <= limit_dimension ) { + while (!active_witnesses.empty() && k <= limit_dimension) { typename ActiveWitnessList::iterator aw_it = active_witnesses.begin(); std::vector simplex; simplex.reserve(k+1); @@ -134,10 +129,10 @@ private: aw_it->end()); assert(simplex.empty()); if (!ok) - active_witnesses.erase(aw_it++); //First increase the iterator and then erase the previous element + active_witnesses.erase(aw_it++); // First increase the iterator and then erase the previous element else aw_it++; - } + } k++; } complex.set_dimension(k-1); @@ -159,13 +154,12 @@ private: typename ActiveWitness::iterator curr_l, std::vector& simplex, SimplicialComplexForWitness& sc, - typename ActiveWitness::iterator end) const - { + typename ActiveWitness::iterator end) const { if (curr_l == end) return false; bool will_be_active = false; typename ActiveWitness::iterator l_it = curr_l; - if (dim > 0) + if (dim > 0) { for (; l_it->second - alpha2 <= norelax_dist2 && l_it != end; ++l_it) { simplex.push_back(l_it->first); if (sc.find(simplex) != sc.null_simplex()) { @@ -183,8 +177,8 @@ private: // If norelax_dist is infinity, change to first omitted distance if (l_it->second <= norelax_dist2) norelax_dist2 = l_it->second; - } - else if (dim == 0) + } + } else if (dim == 0) { for (; l_it->second - alpha2 <= norelax_dist2 && l_it != end; ++l_it) { simplex.push_back(l_it->first); double filtration_value = 0; @@ -200,12 +194,12 @@ private: // If norelax_dist is infinity, change to first omitted distance if (l_it->second < norelax_dist2) norelax_dist2 = l_it->second; - } + } + } return will_be_active; } - }; - + } // namespace witness_complex } // namespace Gudhi diff --git a/src/Witness_complex/include/gudhi/Witness_complex/all_faces_in.h b/src/Witness_complex/include/gudhi/Witness_complex/all_faces_in.h index d009caca..b68d75a1 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex/all_faces_in.h +++ b/src/Witness_complex/include/gudhi/Witness_complex/all_faces_in.h @@ -1,3 +1,25 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Siargey Kachanovich + * + * Copyright (C) 2015 INRIA (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + */ + #ifndef WITNESS_COMPLEX_ALL_FACES_IN_H_ #define WITNESS_COMPLEX_ALL_FACES_IN_H_ @@ -9,16 +31,14 @@ template < typename SimplicialComplexForWitness, typename Simplex > bool all_faces_in(Simplex& simplex, double* filtration_value, - SimplicialComplexForWitness& sc) - { + SimplicialComplexForWitness& sc) { typedef typename SimplicialComplexForWitness::Simplex_handle Simplex_handle; if (simplex.size() == 1) return true; /* Add vertices unconditionally */ - + Simplex facet; - for (typename Simplex::iterator not_it = simplex.begin(); not_it != simplex.end(); ++not_it) - { + for (typename Simplex::iterator not_it = simplex.begin(); not_it != simplex.end(); ++not_it) { facet.clear(); for (typename Simplex::iterator it = simplex.begin(); it != simplex.end(); ++it) if (it != not_it) -- cgit v1.2.3 From d070c2916225acdd928db5929c0cab02589ca8a8 Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Tue, 28 Feb 2017 16:46:54 +0000 Subject: Move boost flags for MSVC compilation issue (already moved on rev. 2115) git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2121 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 1f2f185fbfbbd56ef9fb5a96b2d75a65db4c850e --- src/Persistent_cohomology/example/CMakeLists.txt | 4 ---- 1 file changed, 4 deletions(-) diff --git a/src/Persistent_cohomology/example/CMakeLists.txt b/src/Persistent_cohomology/example/CMakeLists.txt index 38d7e9a9..d2a84b1e 100644 --- a/src/Persistent_cohomology/example/CMakeLists.txt +++ b/src/Persistent_cohomology/example/CMakeLists.txt @@ -1,10 +1,6 @@ cmake_minimum_required(VERSION 2.6) project(Persistent_cohomology_examples) -# problem with Visual Studio link on Boost program_options -add_definitions( -DBOOST_ALL_NO_LIB ) -add_definitions( -DBOOST_ALL_DYN_LINK ) - add_executable(plain_homology plain_homology.cpp) target_link_libraries(plain_homology ${Boost_SYSTEM_LIBRARY}) -- cgit v1.2.3 From fda43b1fde4774909c632a0604ae7ad05a660d3a Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Wed, 1 Mar 2017 06:03:29 +0000 Subject: Fix cppcheck git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2122 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 92d11c064056138ce4aa8cbe3a42df29a8a5ca7d --- .../example/example_strong_witness_persistence.cpp | 3 +- .../example_witness_complex_persistence.cpp | 35 ++++++++++------------ .../gudhi/Active_witness/Active_witness_iterator.h | 11 ++++--- .../gudhi/Euclidean_strong_witness_complex.h | 6 ++-- .../include/gudhi/Euclidean_witness_complex.h | 20 ++++++------- .../include/gudhi/Strong_witness_complex.h | 17 +++++------ .../include/gudhi/Witness_complex.h | 2 +- 7 files changed, 45 insertions(+), 49 deletions(-) diff --git a/src/Witness_complex/example/example_strong_witness_persistence.cpp b/src/Witness_complex/example/example_strong_witness_persistence.cpp index 5efe69fd..f786fe7b 100644 --- a/src/Witness_complex/example/example_strong_witness_persistence.cpp +++ b/src/Witness_complex/example/example_strong_witness_persistence.cpp @@ -126,13 +126,14 @@ void program_options(int argc, char * argv[] "Name of file containing a point set in off format."); po::options_description visible("Allowed options", 100); + Filtration_value default_alpha = std::numeric_limits::infinity(); visible.add_options() ("help,h", "produce help message") ("landmarks,l", po::value(&nbL), "Number of landmarks to choose from the point cloud.") ("output-file,o", po::value(&filediag)->default_value(std::string()), "Name of file in which the persistence diagram is written. Default print in std::cout") - ("max-sq-alpha,a", po::value(&max_squared_alpha)->default_value(std::numeric_limits::infinity()), + ("max-sq-alpha,a", po::value(&max_squared_alpha)->default_value(default_alpha), "Maximal squared relaxation parameter.") ("field-charac,p", po::value(&p)->default_value(11), "Characteristic p of the coefficient field Z/pZ for computing homology.") diff --git a/src/Witness_complex/example/example_witness_complex_persistence.cpp b/src/Witness_complex/example/example_witness_complex_persistence.cpp index 364a114a..a1146922 100644 --- a/src/Witness_complex/example/example_witness_complex_persistence.cpp +++ b/src/Witness_complex/example/example_witness_complex_persistence.cpp @@ -34,18 +34,17 @@ #include #include // infinity -using namespace Gudhi; -using namespace Gudhi::persistent_cohomology; +using K = CGAL::Epick_d; +using Point_d = K::Point_d; -typedef CGAL::Epick_d K; -typedef typename K::Point_d Point_d; +using Point_vector = std::vector; +using Witness_complex = Gudhi::witness_complex::Euclidean_witness_complex; +using SimplexTree = Gudhi::Simplex_tree<>; -typedef typename std::vector Point_vector; -typedef typename Gudhi::witness_complex::Euclidean_witness_complex Witness_complex; -typedef Gudhi::Simplex_tree<> SimplexTree; +using Filtration_value = SimplexTree::Filtration_value; -typedef int Vertex_handle; -typedef double Filtration_value; +using Field_Zp = Gudhi::persistent_cohomology::Field_Zp; +using Persistent_cohomology = Gudhi::persistent_cohomology::Persistent_cohomology; void program_options(int argc, char * argv[] , int & nbL @@ -83,9 +82,9 @@ int main(int argc, char * argv[]) { // Compute witness complex Witness_complex witness_complex(landmarks, witnesses); - + witness_complex.create_complex(simplex_tree, max_squared_alpha, lim_d); - + std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; std::cout << " and has dimension " << simplex_tree.dimension() << " \n"; @@ -93,7 +92,7 @@ int main(int argc, char * argv[]) { simplex_tree.initialize_filtration(); // Compute the persistence diagram of the complex - persistent_cohomology::Persistent_cohomology pcoh(simplex_tree); + Persistent_cohomology pcoh(simplex_tree); // initializes the coefficient field for homology pcoh.init_coefficients(p); @@ -120,15 +119,14 @@ void program_options(int argc, char * argv[] , int & p , int & dim_max , Filtration_value & min_persistence) { - namespace po = boost::program_options; - + po::options_description hidden("Hidden options"); hidden.add_options() ("input-file", po::value(&file_name), "Name of file containing a point set in off format."); - + Filtration_value default_alpha = std::numeric_limits::infinity(); po::options_description visible("Allowed options", 100); visible.add_options() ("help,h", "produce help message") @@ -136,7 +134,7 @@ void program_options(int argc, char * argv[] "Number of landmarks to choose from the point cloud.") ("output-file,o", po::value(&filediag)->default_value(std::string()), "Name of file in which the persistence diagram is written. Default print in std::cout") - ("max-sq-alpha,a", po::value(&max_squared_alpha)->default_value(std::numeric_limits::infinity()), + ("max-sq-alpha,a", po::value(&max_squared_alpha)->default_value(default_alpha), "Maximal squared relaxation parameter.") ("field-charac,p", po::value(&p)->default_value(11), "Characteristic p of the coefficient field Z/pZ for computing homology.") @@ -144,7 +142,7 @@ void program_options(int argc, char * argv[] "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length intervals") ("cpx-dimension,d", po::value(&dim_max)->default_value(std::numeric_limits::max()), "Maximal dimension of the weak witness complex we want to compute."); - + po::positional_options_description pos; pos.add("input-file", 1); @@ -155,7 +153,7 @@ void program_options(int argc, char * argv[] po::store(po::command_line_parser(argc, argv). options(all).positional(pos).run(), vm); po::notify(vm); - + if (vm.count("help") || !vm.count("input-file")) { std::cout << std::endl; std::cout << "Compute the persistent homology with coefficient field Z/pZ \n"; @@ -171,4 +169,3 @@ void program_options(int argc, char * argv[] std::abort(); } } - diff --git a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h index 4e29a40d..0a05173a 100644 --- a/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h +++ b/src/Witness_complex/include/gudhi/Active_witness/Active_witness_iterator.h @@ -36,7 +36,6 @@ namespace witness_complex { * If all the landmarks are present in the list, iterator returns the specific end value * of the corresponding 'Active_witness' object. */ - template< typename Active_witness, typename Id_distance_pair, typename INS_iterator > @@ -47,15 +46,14 @@ class Active_witness_iterator Id_distance_pair const> { friend class boost::iterator_core_access; - //typedef Active_witness Active_witness; typedef typename std::list::iterator Pair_iterator; typedef typename Gudhi::witness_complex::Active_witness_iterator Iterator; Active_witness *aw_; - Pair_iterator lh_; // landmark handle - bool is_end_; // true only if the pointer is end and there are no more neighbors to add + Pair_iterator lh_; // landmark handle + bool is_end_; // true only if the pointer is end and there are no more neighbors to add public: Active_witness_iterator(Active_witness* aw) @@ -87,7 +85,8 @@ class Active_witness_iterator void increment() { // the neighbor search can't be at the end iterator of a list - GUDHI_CHECK(!is_end_ && lh_ != aw_->nearest_landmark_table_.end(), std::logic_error("Wrong active witness increment.")); + GUDHI_CHECK(!is_end_ && lh_ != aw_->nearest_landmark_table_.end(), + std::logic_error("Wrong active witness increment.")); // if the id of the current landmark is the same as the last one lh_++; @@ -105,5 +104,5 @@ class Active_witness_iterator } // namespace witness_complex } // namespace Gudhi - + #endif // ACTIVE_WITNESS_ACTIVE_WITNESS_ITERATOR_H_ diff --git a/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h b/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h index 6870c183..fb669ef8 100644 --- a/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Euclidean_strong_witness_complex.h @@ -83,13 +83,13 @@ class Euclidean_strong_witness_complex const WitnessRange & witnesses) : landmarks_(std::begin(landmarks), std::end(landmarks)), landmark_tree_(landmarks_) { nearest_landmark_table_.reserve(boost::size(witnesses)); - for (auto w: witnesses) + for (auto w : witnesses) nearest_landmark_table_.push_back(landmark_tree_.query_incremental_nearest_neighbors(w)); } /** \brief Returns the point corresponding to the given vertex. */ - template + template Point_d get_point(Vertex_handle vertex) const { return landmarks_[vertex]; } @@ -101,4 +101,4 @@ class Euclidean_strong_witness_complex } // namespace Gudhi -#endif // EUCLIDEAN_STRONG_WITNESS_COMPLEX_H_ +#endif // EUCLIDEAN_STRONG_WITNESS_COMPLEX_H_ diff --git a/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h b/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h index 146271f7..6afe9a5d 100644 --- a/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Euclidean_witness_complex.h @@ -33,7 +33,7 @@ #include namespace Gudhi { - + namespace witness_complex { /** @@ -46,8 +46,10 @@ namespace witness_complex { * href="http://doc.cgal.org/latest/Kernel_d/classCGAL_1_1Epick__d.html">CGAL::Epick_d class. */ template< class Kernel_ > -class Euclidean_witness_complex : public Witness_complex>::INS_range>> { -private: +class Euclidean_witness_complex + : public Witness_complex>::INS_range>> { + private: typedef Kernel_ K; typedef typename K::Point_d Point_d; typedef std::vector Point_range; @@ -64,7 +66,7 @@ private: Kd_tree landmark_tree_; using Witness_complex::nearest_landmark_table_; -public: + public: ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////// /* @name Constructor */ @@ -81,24 +83,22 @@ public: typename WitnessRange > Euclidean_witness_complex(const LandmarkRange & landmarks, const WitnessRange & witnesses) - : landmarks_(std::begin(landmarks), std::end(landmarks)), landmark_tree_(landmarks) - { + : landmarks_(std::begin(landmarks), std::end(landmarks)), landmark_tree_(landmarks) { nearest_landmark_table_.reserve(boost::size(witnesses)); - for (auto w: witnesses) + for (auto w : witnesses) nearest_landmark_table_.push_back(landmark_tree_.query_incremental_nearest_neighbors(w)); } /** \brief Returns the point corresponding to the given vertex. * @param[in] vertex Vertex handle of the point to retrieve. */ - Point_d get_point( Vertex_handle vertex ) const - { + Point_d get_point(Vertex_handle vertex) const { return landmarks_[vertex]; } //@} }; - + } // namespace witness_complex } // namespace Gudhi diff --git a/src/Witness_complex/include/gudhi/Strong_witness_complex.h b/src/Witness_complex/include/gudhi/Strong_witness_complex.h index 3fbbb366..6708ac29 100644 --- a/src/Witness_complex/include/gudhi/Strong_witness_complex.h +++ b/src/Witness_complex/include/gudhi/Strong_witness_complex.h @@ -79,8 +79,8 @@ class Strong_witness_complex { * The range of pairs must admit a member type 'iterator'. The dereference type * of the pair range iterator needs to be 'std::pair'. */ - Strong_witness_complex(Nearest_landmark_table_ const & nearest_landmark_table) - : nearest_landmark_table_(std::begin(nearest_landmark_table), std::end(nearest_landmark_table)) { + Strong_witness_complex(Nearest_landmark_table_ const & nearest_landmark_table) + : nearest_landmark_table_(std::begin(nearest_landmark_table), std::end(nearest_landmark_table)) { } /** \brief Outputs the strong witness complex of relaxation 'max_alpha_square' @@ -110,7 +110,7 @@ class Strong_witness_complex { std::cerr << "Strong witness complex cannot create complex - limit dimension must be non-negative.\n"; return false; } - for (auto w: nearest_landmark_table_) { + for (auto w : nearest_landmark_table_) { ActiveWitness aw(w); typeVectorVertex simplex; typename ActiveWitness::iterator aw_it = aw.begin(); @@ -121,7 +121,7 @@ class Strong_witness_complex { aw_it++; } // continue inserting limD-faces of the following simplices - typeVectorVertex& vertices = simplex; //'simplex' now will be called vertices + typeVectorVertex& vertices = simplex; // 'simplex' now will be called vertices while (aw_it != aw.end() && aw_it->second < lim_dist2) { typeVectorVertex facet = {}; add_all_faces_of_dimension(limit_dimension, vertices, vertices.begin(), aw_it, @@ -153,7 +153,7 @@ class Strong_witness_complex { if (dim > 0) { while (curr_it != vertices.end()) { simplex.push_back(*curr_it); - ++curr_it; + ++curr_it; add_all_faces_of_dimension(dim-1, vertices, curr_it, @@ -169,14 +169,13 @@ class Strong_witness_complex { filtration_value, simplex, sc); - } + } } else if (dim == 0) { simplex.push_back(aw_it->first); sc.insert_simplex_and_subfaces(simplex, filtration_value); simplex.pop_back(); - } - } - + } + } //@} }; diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index c0506367..a79bf294 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -183,7 +183,7 @@ class Witness_complex { simplex.push_back(l_it->first); double filtration_value = 0; // if norelax_dist is infinite, relaxation is 0. - if (l_it->second > norelax_dist2) + if (l_it->second > norelax_dist2) filtration_value = l_it->second - norelax_dist2; if (all_faces_in(simplex, &filtration_value, sc)) { will_be_active = true; -- cgit v1.2.3 From 8de27e00ad080e6616928641baf704cfbe318976 Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Wed, 1 Mar 2017 06:13:11 +0000 Subject: Only Euclidean version of Witness requires CGAL and Eigen3 git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2123 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: ca4c8174eb5dc4787113659f5289104af2515bcd --- src/Witness_complex/example/CMakeLists.txt | 9 ++++++--- src/common/doc/main_page.h | 2 +- 2 files changed, 7 insertions(+), 4 deletions(-) diff --git a/src/Witness_complex/example/CMakeLists.txt b/src/Witness_complex/example/CMakeLists.txt index c18d59d2..2691479d 100644 --- a/src/Witness_complex/example/CMakeLists.txt +++ b/src/Witness_complex/example/CMakeLists.txt @@ -1,7 +1,13 @@ cmake_minimum_required(VERSION 2.6) project(Witness_complex_examples) +add_executable ( Witness_complex_example_nearest_landmark_table example_nearest_landmark_table.cpp ) +if (TBB_FOUND) + target_link_libraries(Witness_complex_example_nearest_landmark_table ${TBB_LIBRARIES}) +endif() +add_test(Witness_complex_test_nearest_landmark_table Witness_complex_example_nearest_landmark_table) +# CGAL and Eigen3 are required for Euclidean version of Witness if(CGAL_FOUND) if (NOT CGAL_VERSION VERSION_LESS 4.6.0) if (EIGEN3_FOUND) @@ -15,11 +21,9 @@ if(CGAL_FOUND) add_executable ( Witness_complex_example_strong_witness_persistence example_strong_witness_persistence.cpp ) target_link_libraries(Witness_complex_example_strong_witness_persistence ${Boost_PROGRAM_OPTIONS_LIBRARY}) - add_executable ( Witness_complex_example_nearest_landmark_table example_nearest_landmark_table.cpp ) if (TBB_FOUND) target_link_libraries(Witness_complex_example_witness_persistence ${TBB_LIBRARIES}) target_link_libraries(Witness_complex_example_strong_witness_persistence ${TBB_LIBRARIES}) - target_link_libraries(Witness_complex_example_nearest_landmark_table ${TBB_LIBRARIES}) endif() add_test(Witness_complex_off_test_torus @@ -35,7 +39,6 @@ if(CGAL_FOUND) add_test(Witness_complex_strong_test_torus_persistence ${CMAKE_CURRENT_BINARY_DIR}/Witness_complex_example_strong_witness_persistence ${CMAKE_SOURCE_DIR}/data/points/tore3D_1307.off -l 20 -a 0.5) - add_test(Witness_complex_test_nearest_landmark_table Witness_complex_example_nearest_landmark_table) endif(EIGEN3_FOUND) endif (NOT CGAL_VERSION VERSION_LESS 4.6.0) endif() diff --git a/src/common/doc/main_page.h b/src/common/doc/main_page.h index e6323628..5ca0a6bc 100644 --- a/src/common/doc/main_page.h +++ b/src/common/doc/main_page.h @@ -140,7 +140,7 @@ Author: Siargey Kachanovich
Introduced in: GUDHI 1.3.0
Copyright: GPL v3
- Requires: \ref cgal ≥ 4.6.0 and \ref eigen3 + Euclidean version requires: \ref cgal ≥ 4.6.0 and \ref eigen3 Witness complex \f$ Wit(W,L) \f$ is a simplicial complex defined on two sets of points in \f$\mathbb{R}^D\f$. -- cgit v1.2.3 From 3ddacb8af07ce09c68ebc6596c581242b00b555c Mon Sep 17 00:00:00 2001 From: glisse Date: Wed, 1 Mar 2017 15:40:37 +0000 Subject: Remove Debian directory. It will be handled separately in Debian. git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/trunk@2124 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: e1b94bc17059f1bbaa88c1117e044d205efb5582 --- scripts/generate_version.sh | 2 +- src/Doxyfile | 1 - src/cmake/modules/GUDHI_user_version_target.txt | 2 -- src/debian/changelog | 5 ----- src/debian/compat | 1 - src/debian/control | 26 ----------------------- src/debian/copyright | 28 ------------------------- src/debian/docs | 2 -- src/debian/rules | 28 ------------------------- src/debian/source/format | 1 - 10 files changed, 1 insertion(+), 95 deletions(-) delete mode 100644 src/debian/changelog delete mode 100644 src/debian/compat delete mode 100644 src/debian/control delete mode 100644 src/debian/copyright delete mode 100644 src/debian/docs delete mode 100755 src/debian/rules delete mode 100644 src/debian/source/format diff --git a/scripts/generate_version.sh b/scripts/generate_version.sh index bf30f101..6f66a638 100755 --- a/scripts/generate_version.sh +++ b/scripts/generate_version.sh @@ -66,7 +66,7 @@ do if [ -d "$ROOT_DIR/src/$package" ] && [ $package != "Bottleneck" ] then echo $package - if [ "$package" == "cmake" ] || [ "$package" == "debian" ] + if [ "$package" == "cmake" ] then # SPECIFIC FOR CMAKE MODULES cp -R $ROOT_DIR/src/$package $VERSION_DIR diff --git a/src/Doxyfile b/src/Doxyfile index a41c6d6f..3ec4ac9a 100644 --- a/src/Doxyfile +++ b/src/Doxyfile @@ -784,7 +784,6 @@ EXCLUDE = data/ \ example/ \ GudhUI/ \ cmake/ \ - debian/ \ include/gudhi_patches/ # The EXCLUDE_SYMLINKS tag can be used to select whether or not files or diff --git a/src/cmake/modules/GUDHI_user_version_target.txt b/src/cmake/modules/GUDHI_user_version_target.txt index 6332b065..ac846f16 100644 --- a/src/cmake/modules/GUDHI_user_version_target.txt +++ b/src/cmake/modules/GUDHI_user_version_target.txt @@ -43,8 +43,6 @@ if (NOT CMAKE_VERSION VERSION_LESS 2.8.11) copy_directory ${CMAKE_SOURCE_DIR}/data ${GUDHI_USER_VERSION_DIR}/data) add_custom_command(TARGET user_version PRE_BUILD COMMAND ${CMAKE_COMMAND} -E copy_directory ${CMAKE_SOURCE_DIR}/src/cmake ${GUDHI_USER_VERSION_DIR}/cmake) - add_custom_command(TARGET user_version PRE_BUILD COMMAND ${CMAKE_COMMAND} -E - copy_directory ${CMAKE_SOURCE_DIR}/src/debian ${GUDHI_USER_VERSION_DIR}/debian) add_custom_command(TARGET user_version PRE_BUILD COMMAND ${CMAKE_COMMAND} -E copy_directory ${CMAKE_SOURCE_DIR}/src/GudhUI ${GUDHI_USER_VERSION_DIR}/GudhUI) diff --git a/src/debian/changelog b/src/debian/changelog deleted file mode 100644 index 32b3f6f9..00000000 --- a/src/debian/changelog +++ /dev/null @@ -1,5 +0,0 @@ -gudhi (1.3.0-1) unstable; urgency=low - - * Initial release. - - -- Marc Glisse Sat, 26 Mar 2016 10:51:01 +0100 diff --git a/src/debian/compat b/src/debian/compat deleted file mode 100644 index ec635144..00000000 --- a/src/debian/compat +++ /dev/null @@ -1 +0,0 @@ -9 diff --git a/src/debian/control b/src/debian/control deleted file mode 100644 index 838234a9..00000000 --- a/src/debian/control +++ /dev/null @@ -1,26 +0,0 @@ -Source: gudhi -Priority: optional -Maintainer: Marc Glisse -Build-Depends: debhelper (>= 9), cmake, libboost-dev -Standards-Version: 3.9.6 -Section: libs -Homepage: http://gudhi.gforge.inria.fr/ -#Vcs-Git: git://anonscm.debian.org/collab-maint/gudhi.git -#Vcs-Browser: https://anonscm.debian.org/gitweb/?p=collab-maint/gudhi.git;a=summary - -Package: libgudhi-dev -Section: libdevel -Architecture: all -Depends: libboost-dev, ${misc:Depends} -Recommends: libcgal-dev -Description: Gudhi library for topological data analysis - The Gudhi library (Geometric Understanding in Higher Dimensions) is a generic - open source C++ library for Computational Topology and Topological Data - Analysis (TDA). - . - The current release of the GUDHI library includes: - * Data structures to represent, construct and manipulate simplicial and - cubical complexes, including alpha-complex, witness complex, Rips complex. - * Algorithms to compute persistent homology and multi-field persistent - homology. - * Simplication of simplicial complexes by edge contraction. diff --git a/src/debian/copyright b/src/debian/copyright deleted file mode 100644 index 2e1f88cd..00000000 --- a/src/debian/copyright +++ /dev/null @@ -1,28 +0,0 @@ -Format: https://www.debian.org/doc/packaging-manuals/copyright-format/1.0/ -Upstream-Name: gudhi -Upstream-Contact: gudhi-users@lists.gforge.inria.fr -Source: - -Files: * -Copyright: 2014-2016 Inria Sophia Antipolis-Méditerranée - 2014-2016 Inria Saclay - Ile de France - 2014-2016 Université Nice Sophia Antipolis -License: GPL-3.0+ - -License: GPL-3.0+ - This program is free software: you can redistribute it and/or modify - it under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - . - This package is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - GNU General Public License for more details. - . - You should have received a copy of the GNU General Public License - along with this program. If not, see . - . - On Debian systems, the complete text of the GNU General - Public License version 3 can be found in "/usr/share/common-licenses/GPL-3". - diff --git a/src/debian/docs b/src/debian/docs deleted file mode 100644 index 878a2ba1..00000000 --- a/src/debian/docs +++ /dev/null @@ -1,2 +0,0 @@ -Conventions.txt -README diff --git a/src/debian/rules b/src/debian/rules deleted file mode 100755 index c9b049af..00000000 --- a/src/debian/rules +++ /dev/null @@ -1,28 +0,0 @@ -#!/usr/bin/make -f -# See debhelper(7) (uncomment to enable) -# output every command that modifies files on the build system. -#export DH_VERBOSE = 1 - -# see EXAMPLES in dpkg-buildflags(1) and read /usr/share/dpkg/* -DPKG_EXPORT_BUILDFLAGS = 1 -include /usr/share/dpkg/default.mk - -# see FEATURE AREAS in dpkg-buildflags(1) -#export DEB_BUILD_MAINT_OPTIONS = hardening=+all - -# see ENVIRONMENT in dpkg-buildflags(1) -# package maintainers to append CFLAGS -#export DEB_CFLAGS_MAINT_APPEND = -Wall -pedantic -# package maintainers to append LDFLAGS -#export DEB_LDFLAGS_MAINT_APPEND = -Wl,--as-needed - - -# main packaging script based on dh7 syntax -%: - dh $@ - -# dh_make generated override targets -# This is example for Cmake (See https://bugs.debian.org/641051 ) -#override_dh_auto_configure: -# dh_auto_configure -- \ -# -DCMAKE_LIBRARY_PATH=$(DEB_HOST_MULTIARCH) diff --git a/src/debian/source/format b/src/debian/source/format deleted file mode 100644 index 163aaf8d..00000000 --- a/src/debian/source/format +++ /dev/null @@ -1 +0,0 @@ -3.0 (quilt) -- cgit v1.2.3 From de314e530876896d58a17c8f63493782ab899dc0 Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Thu, 2 Mar 2017 08:48:40 +0000 Subject: Try a fix for Windows Boost compilation link error git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2125 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: abcd5956dc410b8dfd587cfcd0f181def6c34371 --- src/Witness_complex/example/CMakeLists.txt | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/src/Witness_complex/example/CMakeLists.txt b/src/Witness_complex/example/CMakeLists.txt index 2691479d..ac1c985d 100644 --- a/src/Witness_complex/example/CMakeLists.txt +++ b/src/Witness_complex/example/CMakeLists.txt @@ -2,6 +2,7 @@ cmake_minimum_required(VERSION 2.6) project(Witness_complex_examples) add_executable ( Witness_complex_example_nearest_landmark_table example_nearest_landmark_table.cpp ) +target_link_libraries(Witness_complex_example_nearest_landmark_table ${Boost_SYSTEM_LIBRARY}) if (TBB_FOUND) target_link_libraries(Witness_complex_example_nearest_landmark_table ${TBB_LIBRARIES}) endif() @@ -16,10 +17,10 @@ if(CGAL_FOUND) add_executable ( Witness_complex_example_sphere example_witness_complex_sphere.cpp ) add_executable ( Witness_complex_example_witness_persistence example_witness_complex_persistence.cpp ) - target_link_libraries(Witness_complex_example_witness_persistence ${Boost_PROGRAM_OPTIONS_LIBRARY}) + target_link_libraries(Witness_complex_example_witness_persistence ${Boost_SYSTEM_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY}) add_executable ( Witness_complex_example_strong_witness_persistence example_strong_witness_persistence.cpp ) - target_link_libraries(Witness_complex_example_strong_witness_persistence ${Boost_PROGRAM_OPTIONS_LIBRARY}) + target_link_libraries(Witness_complex_example_strong_witness_persistence ${Boost_SYSTEM_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY}) if (TBB_FOUND) target_link_libraries(Witness_complex_example_witness_persistence ${TBB_LIBRARIES}) -- cgit v1.2.3 From 28783add0035c46efa2754038d55f8a31ca93526 Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Thu, 2 Mar 2017 13:14:45 +0000 Subject: Add Boost system libraries for examples using persistence Remove useless includes in example_nearest_landmark_table.cpp Fix list iterator not dereferencable on example nearest_landmark_table git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2126 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: c93f00a0892737e1324a3ee8378ef7d49e6517d4 --- CMakeLists.txt | 2 +- src/Witness_complex/example/example_nearest_landmark_table.cpp | 2 -- src/Witness_complex/include/gudhi/Witness_complex.h | 2 +- 3 files changed, 2 insertions(+), 4 deletions(-) diff --git a/CMakeLists.txt b/CMakeLists.txt index a71ad829..07992ba1 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -59,7 +59,7 @@ else() # Turn off some VC++ warnings set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} /wd4267 /wd4668 /wd4311 /wd4800 /wd4820 /wd4503 /wd4244 /wd4345 /wd4996 /wd4396 /wd4018") else() - set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -std=c++11 -Wall -pedantic") + set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -std=c++11 -Wall -pedantic -fsanitize=address -fno-omit-frame-pointer") endif() if(CMAKE_BUILD_TYPE MATCHES Debug) diff --git a/src/Witness_complex/example/example_nearest_landmark_table.cpp b/src/Witness_complex/example/example_nearest_landmark_table.cpp index 65b675f9..b8594212 100644 --- a/src/Witness_complex/example/example_nearest_landmark_table.cpp +++ b/src/Witness_complex/example/example_nearest_landmark_table.cpp @@ -28,11 +28,9 @@ #include #include -#include #include #include #include -#include int main(int argc, char * const argv[]) { using Nearest_landmark_range = std::vector>; diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index a79bf294..edd5c0a8 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -160,7 +160,7 @@ class Witness_complex { bool will_be_active = false; typename ActiveWitness::iterator l_it = curr_l; if (dim > 0) { - for (; l_it->second - alpha2 <= norelax_dist2 && l_it != end; ++l_it) { + for (; l_it != end && l_it->second - alpha2 <= norelax_dist2; ++l_it) { simplex.push_back(l_it->first); if (sc.find(simplex) != sc.null_simplex()) { typename ActiveWitness::iterator next_it = l_it; -- cgit v1.2.3 From 5b2ac6a04b3b0f03570e5d00a94d8e1871d36a95 Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Thu, 2 Mar 2017 14:19:08 +0000 Subject: Remove clang sanitizer options git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2129 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 07ba9d5ca3e7fca2a352cfe90447fbc46c33811d --- CMakeLists.txt | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/CMakeLists.txt b/CMakeLists.txt index 07992ba1..a71ad829 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -59,7 +59,7 @@ else() # Turn off some VC++ warnings set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} /wd4267 /wd4668 /wd4311 /wd4800 /wd4820 /wd4503 /wd4244 /wd4345 /wd4996 /wd4396 /wd4018") else() - set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -std=c++11 -Wall -pedantic -fsanitize=address -fno-omit-frame-pointer") + set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -std=c++11 -Wall -pedantic") endif() if(CMAKE_BUILD_TYPE MATCHES Debug) -- cgit v1.2.3 From 02a173f88eb4c4f5bd373db93ba546326307dd7c Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Thu, 2 Mar 2017 14:24:15 +0000 Subject: test if !end before accessing operator git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2130 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 82e8b58b1452f45668bd7511d528db96c3613c53 --- src/Witness_complex/include/gudhi/Witness_complex.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/Witness_complex/include/gudhi/Witness_complex.h b/src/Witness_complex/include/gudhi/Witness_complex.h index edd5c0a8..e7adf80f 100644 --- a/src/Witness_complex/include/gudhi/Witness_complex.h +++ b/src/Witness_complex/include/gudhi/Witness_complex.h @@ -179,7 +179,7 @@ class Witness_complex { norelax_dist2 = l_it->second; } } else if (dim == 0) { - for (; l_it->second - alpha2 <= norelax_dist2 && l_it != end; ++l_it) { + for (;l_it != end && l_it->second - alpha2 <= norelax_dist2; ++l_it) { simplex.push_back(l_it->first); double filtration_value = 0; // if norelax_dist is infinite, relaxation is 0. -- cgit v1.2.3 From 2f11dbee64d86801ece02ef4181ce0deba606a3e Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Thu, 2 Mar 2017 15:12:37 +0000 Subject: Add gudhi patches to user_version CMake code factorisation git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/trunk@2133 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: eaf54902bad1a9e2609828f4325b6c465181f553 --- src/cmake/modules/GUDHI_user_version_target.txt | 101 ++++++++++-------------- 1 file changed, 40 insertions(+), 61 deletions(-) diff --git a/src/cmake/modules/GUDHI_user_version_target.txt b/src/cmake/modules/GUDHI_user_version_target.txt index ac846f16..6cd24db5 100644 --- a/src/cmake/modules/GUDHI_user_version_target.txt +++ b/src/cmake/modules/GUDHI_user_version_target.txt @@ -20,6 +20,8 @@ if (NOT CMAKE_VERSION VERSION_LESS 2.8.11) make_directory ${GUDHI_USER_VERSION_DIR} COMMENT "user_version creation in ${GUDHI_USER_VERSION_DIR}") + add_custom_command(TARGET user_version PRE_BUILD COMMAND ${CMAKE_COMMAND} -E + copy ${CMAKE_SOURCE_DIR}/Conventions.txt ${GUDHI_USER_VERSION_DIR}/Conventions.txt) add_custom_command(TARGET user_version PRE_BUILD COMMAND ${CMAKE_COMMAND} -E copy ${CMAKE_SOURCE_DIR}/README ${GUDHI_USER_VERSION_DIR}/README) add_custom_command(TARGET user_version PRE_BUILD COMMAND ${CMAKE_COMMAND} -E @@ -47,67 +49,44 @@ if (NOT CMAKE_VERSION VERSION_LESS 2.8.11) copy_directory ${CMAKE_SOURCE_DIR}/src/GudhUI ${GUDHI_USER_VERSION_DIR}/GudhUI) set(GUDHI_MODULES "common;Alpha_complex;Bitmap_cubical_complex;Bottleneck_distance;Contraction;Hasse_complex;Persistent_cohomology;Rips_complex;Simplex_tree;Skeleton_blocker;Spatial_searching;Subsampling;Tangential_complex;Witness_complex") - + set(GUDHI_DIRECTORIES "doc;example;concept") + set(GUDHI_INCLUDE_DIRECTORIES "include/gudhi;include/gudhi_patches") + foreach(GUDHI_MODULE ${GUDHI_MODULES}) - # doc files - file(GLOB GUDHI_DOC_FILES ${CMAKE_SOURCE_DIR}/src/${GUDHI_MODULE}/doc/*) - - foreach(GUDHI_DOC_FILE ${GUDHI_DOC_FILES}) - get_filename_component(GUDHI_DOC_FILE_NAME ${GUDHI_DOC_FILE} NAME) - # GUDHI_DOC_FILE can be a file or a directory - if(IS_DIRECTORY ${GUDHI_DOC_FILE}) - add_custom_command(TARGET user_version PRE_BUILD COMMAND ${CMAKE_COMMAND} -E - copy_directory ${GUDHI_DOC_FILE} ${GUDHI_USER_VERSION_DIR}/doc/${GUDHI_MODULE}/${GUDHI_DOC_FILE_NAME}) - else() - add_custom_command(TARGET user_version PRE_BUILD COMMAND ${CMAKE_COMMAND} -E - copy ${GUDHI_DOC_FILE} ${GUDHI_USER_VERSION_DIR}/doc/${GUDHI_MODULE}/${GUDHI_DOC_FILE_NAME}) - endif() - endforeach() - - # example files - file(GLOB GUDHI_EXAMPLE_FILES ${CMAKE_SOURCE_DIR}/src/${GUDHI_MODULE}/example/*) - - foreach(GUDHI_EXAMPLE_FILE ${GUDHI_EXAMPLE_FILES}) - get_filename_component(GUDHI_EXAMPLE_FILE_NAME ${GUDHI_EXAMPLE_FILE} NAME) - # GUDHI_EXAMPLE_FILE can be a file or a directory - if(IS_DIRECTORY ${GUDHI_EXAMPLE_FILE}) - add_custom_command(TARGET user_version PRE_BUILD COMMAND ${CMAKE_COMMAND} -E - copy_directory ${GUDHI_EXAMPLE_FILE} ${GUDHI_USER_VERSION_DIR}/example/${GUDHI_MODULE}/${GUDHI_EXAMPLE_FILE_NAME}) - else() - add_custom_command(TARGET user_version PRE_BUILD COMMAND ${CMAKE_COMMAND} -E - copy ${GUDHI_EXAMPLE_FILE} ${GUDHI_USER_VERSION_DIR}/example/${GUDHI_MODULE}/${GUDHI_EXAMPLE_FILE_NAME}) - endif() - endforeach() - - # include files - file(GLOB GUDHI_INCLUDE_FILES ${CMAKE_SOURCE_DIR}/src/${GUDHI_MODULE}/include/gudhi/*) - - foreach(GUDHI_INCLUDE_FILE ${GUDHI_INCLUDE_FILES}) - get_filename_component(GUDHI_INCLUDE_FILE_NAME ${GUDHI_INCLUDE_FILE} NAME) - # GUDHI_INCLUDE_FILE can be a file or a directory - if(IS_DIRECTORY ${GUDHI_INCLUDE_FILE}) - add_custom_command(TARGET user_version PRE_BUILD COMMAND ${CMAKE_COMMAND} -E - copy_directory ${GUDHI_INCLUDE_FILE} ${GUDHI_USER_VERSION_DIR}/include/gudhi/${GUDHI_INCLUDE_FILE_NAME}) - else() - add_custom_command(TARGET user_version PRE_BUILD COMMAND ${CMAKE_COMMAND} -E - copy ${GUDHI_INCLUDE_FILE} ${GUDHI_USER_VERSION_DIR}/include/gudhi/${GUDHI_INCLUDE_FILE_NAME}) - endif() - endforeach() - - # concept files - file(GLOB GUDHI_CONCEPT_FILES ${CMAKE_SOURCE_DIR}/src/${GUDHI_MODULE}/concept/*.h) - - foreach(GUDHI_CONCEPT_FILE ${GUDHI_CONCEPT_FILES}) - get_filename_component(GUDHI_CONCEPT_FILE_NAME ${GUDHI_CONCEPT_FILE} NAME) - # GUDHI_CONCEPT_FILE can be a file or a directory - if(IS_DIRECTORY ${GUDHI_CONCEPT_FILE}) - add_custom_command(TARGET user_version PRE_BUILD COMMAND ${CMAKE_COMMAND} -E - copy_directory ${GUDHI_CONCEPT_FILE} ${GUDHI_USER_VERSION_DIR}/concept/${GUDHI_MODULE}/${GUDHI_CONCEPT_FILE_NAME}) - else() - add_custom_command(TARGET user_version PRE_BUILD COMMAND ${CMAKE_COMMAND} -E - copy ${GUDHI_CONCEPT_FILE} ${GUDHI_USER_VERSION_DIR}/concept/${GUDHI_MODULE}/${GUDHI_CONCEPT_FILE_NAME}) - endif() - endforeach() - endforeach() + foreach(GUDHI_DIRECTORY ${GUDHI_DIRECTORIES}) + # Find files + file(GLOB GUDHI_FILES ${CMAKE_SOURCE_DIR}/src/${GUDHI_MODULE}/${GUDHI_DIRECTORY}/*) + + foreach(GUDHI_FILE ${GUDHI_FILES}) + get_filename_component(GUDHI_FILE_NAME ${GUDHI_FILE} NAME) + # GUDHI_FILE can be a file or a directory + if(IS_DIRECTORY ${GUDHI_FILE}) + add_custom_command(TARGET user_version PRE_BUILD COMMAND ${CMAKE_COMMAND} -E + copy_directory ${GUDHI_FILE} ${GUDHI_USER_VERSION_DIR}/${GUDHI_DIRECTORY}/${GUDHI_MODULE}/${GUDHI_FILE_NAME}) + else() + add_custom_command(TARGET user_version PRE_BUILD COMMAND ${CMAKE_COMMAND} -E + copy ${GUDHI_FILE} ${GUDHI_USER_VERSION_DIR}/${GUDHI_DIRECTORY}/${GUDHI_MODULE}/${GUDHI_FILE_NAME}) + endif() + endforeach() + endforeach(GUDHI_DIRECTORY ${GUDHI_DIRECTORIES}) + + foreach(GUDHI_INCLUDE_DIRECTORY ${GUDHI_INCLUDE_DIRECTORIES}) + # include files + file(GLOB GUDHI_INCLUDE_FILES ${CMAKE_SOURCE_DIR}/src/${GUDHI_MODULE}/${GUDHI_INCLUDE_DIRECTORY}/*) + + foreach(GUDHI_INCLUDE_FILE ${GUDHI_INCLUDE_FILES}) + get_filename_component(GUDHI_INCLUDE_FILE_NAME ${GUDHI_INCLUDE_FILE} NAME) + # GUDHI_INCLUDE_FILE can be a file or a directory + if(IS_DIRECTORY ${GUDHI_INCLUDE_FILE}) + add_custom_command(TARGET user_version PRE_BUILD COMMAND ${CMAKE_COMMAND} -E + copy_directory ${GUDHI_INCLUDE_FILE} ${GUDHI_USER_VERSION_DIR}/${GUDHI_INCLUDE_DIRECTORY}/${GUDHI_INCLUDE_FILE_NAME}) + else() + add_custom_command(TARGET user_version PRE_BUILD COMMAND ${CMAKE_COMMAND} -E + copy ${GUDHI_INCLUDE_FILE} ${GUDHI_USER_VERSION_DIR}/${GUDHI_INCLUDE_DIRECTORY}/${GUDHI_INCLUDE_FILE_NAME}) + endif() + endforeach() + endforeach(GUDHI_INCLUDE_DIRECTORY ${GUDHI_INCLUDE_DIRECTORIES}) + + endforeach(GUDHI_MODULE ${GUDHI_MODULES}) endif() -- cgit v1.2.3 From 03bec3e21a4d2cd69af765797a4c0ae1b0483a0b Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Thu, 2 Mar 2017 16:27:38 +0000 Subject: Add boost system for everybody because same link error on Win64 git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@2135 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 8e6f53228d81b3b78eedf35a1a74e9f43fe2382a --- src/Witness_complex/example/CMakeLists.txt | 3 +++ 1 file changed, 3 insertions(+) diff --git a/src/Witness_complex/example/CMakeLists.txt b/src/Witness_complex/example/CMakeLists.txt index ac1c985d..9990c541 100644 --- a/src/Witness_complex/example/CMakeLists.txt +++ b/src/Witness_complex/example/CMakeLists.txt @@ -13,8 +13,11 @@ if(CGAL_FOUND) if (NOT CGAL_VERSION VERSION_LESS 4.6.0) if (EIGEN3_FOUND) add_executable( Witness_complex_example_off example_witness_complex_off.cpp ) + target_link_libraries(Witness_complex_example_off ${Boost_SYSTEM_LIBRARY}) add_executable( Witness_complex_example_strong_off example_strong_witness_complex_off.cpp ) + target_link_libraries(Witness_complex_example_strong_off ${Boost_SYSTEM_LIBRARY}) add_executable ( Witness_complex_example_sphere example_witness_complex_sphere.cpp ) + target_link_libraries(Witness_complex_example_sphere ${Boost_SYSTEM_LIBRARY}) add_executable ( Witness_complex_example_witness_persistence example_witness_complex_persistence.cpp ) target_link_libraries(Witness_complex_example_witness_persistence ${Boost_SYSTEM_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY}) -- cgit v1.2.3 From 087fdfa6bdce9c40d046c983fbe36b94b976568a Mon Sep 17 00:00:00 2001 From: vrouvrea Date: Thu, 2 Mar 2017 16:29:18 +0000 Subject: Move variable definition in if statement git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/trunk@2136 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: cb72284bc8962d4d5ec89c8a6d7f10ec559a4d52 --- src/cmake/modules/GUDHI_user_version_target.txt | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) diff --git a/src/cmake/modules/GUDHI_user_version_target.txt b/src/cmake/modules/GUDHI_user_version_target.txt index 6cd24db5..0d05b8f2 100644 --- a/src/cmake/modules/GUDHI_user_version_target.txt +++ b/src/cmake/modules/GUDHI_user_version_target.txt @@ -1,8 +1,6 @@ # Some functionnalities requires CMake 2.8.11 minimum if (NOT CMAKE_VERSION VERSION_LESS 2.8.11) - string(TIMESTAMP DATE_AND_TIME "%Y-%m-%d-%H-%M-%S") - # Definition of the custom target user_version add_custom_target(user_version) @@ -11,6 +9,7 @@ if (NOT CMAKE_VERSION VERSION_LESS 2.8.11) set(GUDHI_USER_VERSION_DIR ${CMAKE_CURRENT_BINARY_DIR}/${USER_VERSION_DIR}) else() # set the GUDHI_USER_VERSION_DIR with timestamp and Gudhi version number + string(TIMESTAMP DATE_AND_TIME "%Y-%m-%d-%H-%M-%S") set(GUDHI_USER_VERSION_DIR ${CMAKE_CURRENT_BINARY_DIR}/${DATE_AND_TIME}_GUDHI_${GUDHI_VERSION}) endif() -- cgit v1.2.3