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diff --git a/src/Persistence_representations/test/data/multiply_by_scalar b/src/Persistence_representations/test/data/multiply_by_scalar
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+#lambda_0
+0.0290362 0
+0.273076 2.4404
+0.276873 2.40242
+0.329297 2.92665
+0.36328 2.58682
+0.485629 3.8103
+0.490689 3.75971
+0.54603 4.31313
+0.631171 3.46172
+0.63642 3.51422
+0.640956 3.46887
+0.644303 3.50234
+0.994537 0
+#lambda_1
+0.0307676 0
+0.133967 1.03199
+0.136898 1.00267
+0.276873 2.40242
+0.310857 2.06258
+0.36328 2.58682
+0.36834 2.53622
+0.490689 3.75971
+0.500148 3.66511
+0.534084 4.00446
+0.590941 3.43589
+0.612036 3.64684
+0.630859 3.45861
+0.631171 3.46172
+0.635706 3.41637
+0.640956 3.46887
+0.879378 1.08465
+0.88052 1.09607
+0.990127 0
+#lambda_2
+0.0366312 0
+0.136898 1.00267
+0.145814 0.913521
+0.188411 1.3395
+0.21348 1.08881
+0.310857 2.06258
+0.315917 2.01199
+0.36834 2.53622
+0.372727 2.49235
+0.376471 2.52978
+0.381543 2.47906
+0.500148 3.66511
+0.508229 3.58431
+0.528049 3.7825
+0.549487 3.56812
+0.551764 3.59089
+0.579102 3.3175
+0.590941 3.43589
+0.609764 3.24766
+0.630859 3.45861
+0.635394 3.41325
+0.635706 3.41637
+0.816147 1.61196
+0.81754 1.62589
+0.875521 1.04608
+0.879378 1.08465
+0.987842 0
+#lambda_3
+0.0544614 0
+0.145814 0.913521
+0.170882 0.662834
+0.21348 1.08881
+0.21854 1.03822
+0.315917 2.01199
+0.320304 1.96811
+0.372727 2.49235
+0.3778 2.44162
+0.381543 2.47906
+0.389624 2.39826
+0.508229 3.58431
+0.529248 3.37412
+0.546034 3.54197
+0.546453 3.53778
+0.549487 3.56812
+0.576826 3.29474
+0.579102 3.3175
+0.597925 3.12927
+0.609764 3.24766
+0.6143 3.20231
+0.635394 3.41325
+0.815835 1.60884
+0.816147 1.61196
+0.874128 1.03215
+0.875521 1.04608
+0.980129 0
+#lambda_4
+0.0920033 0
+0.162167 0.701632
+0.168464 0.638655
+0.170882 0.662834
+0.175942 0.61224
+0.21854 1.03822
+0.222927 0.994343
+0.320304 1.96811
+0.325376 1.91739
+0.3778 2.44162
+0.38588 2.36082
+0.389624 2.39826
+0.410259 2.1919
+0.490951 2.99882
+0.491334 2.99498
+0.529248 3.37412
+0.529667 3.36992
+0.546453 3.53778
+0.573792 3.2644
+0.576826 3.29474
+0.595649 3.1065
+0.597925 3.12927
+0.60246 3.08392
+0.6143 3.20231
+0.652776 2.81755
+0.659416 2.88395
+0.746537 2.01275
+0.752208 2.06946
+0.807053 1.52102
+0.815835 1.60884
+0.873816 1.02903
+0.874128 1.03215
+0.977343 0
+#lambda_5
+0.104599 0
+0.168464 0.638655
+0.173524 0.58806
+0.175942 0.61224
+0.180329 0.568366
+0.222927 0.994343
+0.227999 0.943619
+0.325376 1.91739
+0.333457 1.83659
+0.38588 2.36082
+0.406516 2.15446
+0.410259 2.1919
+0.410391 2.19058
+0.45834 2.67007
+0.458592 2.66755
+0.491334 2.99498
+0.491754 2.99079
+0.529667 3.36992
+0.557006 3.09654
+0.573792 3.2644
+0.592615 3.07616
+0.595649 3.1065
+0.600184 3.06115
+0.60246 3.08392
+0.640936 2.69916
+0.652776 2.81755
+0.739896 1.94634
+0.746537 2.01275
+0.801381 1.4643
+0.807053 1.52102
+0.865034 0.941206
+0.873816 1.02903
+0.976719 0
+#lambda_6
+0.114718 0
+0.173524 0.58806
+0.177911 0.544186
+0.180329 0.568366
+0.185402 0.517641
+0.227999 0.943619
+0.23608 0.862815
+0.333457 1.83659
+0.354092 1.63023
+0.406516 2.15446
+0.406648 2.15314
+0.410391 2.19058
+0.410643 2.18807
+0.458592 2.66755
+0.459011 2.66336
+0.491754 2.99079
+0.519092 2.7174
+0.557006 3.09654
+0.56704 2.99619
+0.578509 3.11088
+0.587298 3.023
+0.592615 3.07616
+0.59715 3.03081
+0.600184 3.06115
+0.63866 2.67639
+0.640936 2.69916
+0.728057 1.82795
+0.739896 1.94634
+0.794741 1.3979
+0.801381 1.4643
+0.859362 0.884492
+0.865034 0.941206
+0.916025 0.431291
+0.924275 0.513791
+0.975654 0
+#lambda_7
+0.117379 0
+0.127589 0.102096
+0.130645 0.0715284
+0.177911 0.544186
+0.182984 0.493461
+0.185402 0.517641
+0.193482 0.436837
+0.23608 0.862815
+0.240402 0.819591
+0.323826 1.65383
+0.340139 1.4907
+0.354092 1.63023
+0.354224 1.62891
+0.406648 2.15314
+0.406899 2.15063
+0.410643 2.18807
+0.411062 2.18387
+0.459011 2.66336
+0.486349 2.38998
+0.519092 2.7174
+0.529127 2.61706
+0.56704 2.99619
+0.575829 2.90831
+0.587298 3.023
+0.591833 2.97764
+0.59715 3.03081
+0.611692 2.88539
+0.6135 2.90348
+0.637434 2.66413
+0.63866 2.67639
+0.725781 1.80518
+0.728057 1.82795
+0.782901 1.27951
+0.794741 1.3979
+0.852722 0.818087
+0.859362 0.884492
+0.910354 0.374576
+0.916025 0.431291
+0.959154 0
+#lambda_8
+0.123493 0
+0.130645 0.0715284
+0.135718 0.0208036
+0.182984 0.493461
+0.191064 0.412657
+0.193482 0.436837
+0.197804 0.393613
+0.240402 0.819591
+0.256715 0.65646
+0.340139 1.4907
+0.340271 1.48938
+0.354224 1.62891
+0.354476 1.6264
+0.406899 2.15063
+0.407318 2.14643
+0.411062 2.18387
+0.432004 1.97446
+0.478291 2.43732
+0.484687 2.37336
+0.486349 2.38998
+0.496384 2.28963
+0.529127 2.61706
+0.537777 2.53055
+0.569195 2.84473
+0.569333 2.84335
+0.575829 2.90831
+0.580364 2.86295
+0.591833 2.97764
+0.606375 2.83223
+0.611692 2.88539
+0.635626 2.64605
+0.637434 2.66413
+0.724555 1.79293
+0.725781 1.80518
+0.780625 1.25674
+0.782901 1.27951
+0.840883 0.699695
+0.852722 0.818087
+0.891918 0.426129
+0.897031 0.477262
+0.908827 0.359304
+0.910354 0.374576
+0.947812 0
+#lambda_9
+0.133638 0
+0.135718 0.0208036
+0.137798 0
+0.149798 0
+0.191064 0.412657
+0.195386 0.369434
+0.197804 0.393613
+0.214117 0.230483
+0.256715 0.65646
+0.256847 0.65514
+0.340271 1.48938
+0.340523 1.48687
+0.354476 1.6264
+0.354895 1.6222
+0.407318 2.14643
+0.42826 1.93702
+0.432004 1.97446
+0.438401 1.91049
+0.484687 2.37336
+0.494722 2.27301
+0.496384 2.28963
+0.505034 2.20313
+0.537777 2.53055
+0.537915 2.52917
+0.569333 2.84335
+0.573869 2.798
+0.580364 2.86295
+0.594906 2.71754
+0.606375 2.83223
+0.630309 2.59288
+0.635626 2.64605
+0.722747 1.77484
+0.724555 1.79293
+0.779399 1.24448
+0.780625 1.25674
+0.838606 0.67693
+0.840883 0.699695
+0.880078 0.307738
+0.891918 0.426129
+0.903713 0.308171
+0.908827 0.359304
+0.944757 0
+#lambda_10
+0.155421 0
+0.187662 0.322402
+0.189172 0.307294
+0.195386 0.369434
+0.211699 0.206303
+0.214117 0.230483
+0.214249 0.229162
+0.256847 0.65514
+0.257099 0.652625
+0.340523 1.48687
+0.340942 1.48267
+0.354895 1.6222
+0.36777 1.49345
+0.402826 1.84401
+0.410893 1.76334
+0.42826 1.93702
+0.434657 1.87305
+0.438401 1.91049
+0.448435 1.81014
+0.494722 2.27301
+0.503372 2.18651
+0.505034 2.20313
+0.505173 2.20174
+0.537915 2.52917
+0.542451 2.48382
+0.573869 2.798
+0.58841 2.65258
+0.594906 2.71754
+0.61884 2.47819
+0.630309 2.59288
+0.71743 1.72168
+0.722747 1.77484
+0.777591 1.2264
+0.779399 1.24448
+0.83738 0.664671
+0.838606 0.67693
+0.877802 0.284973
+0.880078 0.307738
+0.891874 0.189779
+0.903713 0.308171
+0.93453 0
+#lambda_11
+0.158443 0
+0.189172 0.307294
+0.205486 0.144164
+0.211699 0.206303
+0.211832 0.204983
+0.214249 0.229162
+0.214501 0.226647
+0.257099 0.652625
+0.257518 0.648432
+0.340942 1.48267
+0.353817 1.35392
+0.36777 1.49345
+0.375837 1.41279
+0.410893 1.76334
+0.417289 1.69937
+0.434657 1.87305
+0.444691 1.77271
+0.448435 1.81014
+0.448771 1.80678
+0.477632 2.09539
+0.485947 2.01225
+0.503372 2.18651
+0.503511 2.18512
+0.505173 2.20174
+0.509708 2.15639
+0.542451 2.48382
+0.556992 2.3384
+0.58841 2.65258
+0.612345 2.41324
+0.61884 2.47819
+0.705961 1.60699
+0.71743 1.72168
+0.772274 1.17323
+0.777591 1.2264
+0.835572 0.64659
+0.83738 0.664671
+0.876576 0.272714
+0.877802 0.284973
+0.889598 0.167015
+0.891874 0.189779
+0.910852 0
+#lambda_12
+0.176956 0
+0.180095 0.0313879
+0.183234 0
+0.191069 0
+0.205486 0.144164
+0.205618 0.142844
+0.211832 0.204983
+0.212083 0.202468
+0.214501 0.226647
+0.21492 0.222454
+0.257518 0.648432
+0.270393 0.519679
+0.353817 1.35392
+0.361884 1.27326
+0.375837 1.41279
+0.382234 1.34882
+0.417289 1.69937
+0.427324 1.59903
+0.444691 1.77271
+0.445028 1.76934
+0.448771 1.80678
+0.457086 1.72364
+0.485947 2.01225
+0.486085 2.01087
+0.503511 2.18512
+0.508046 2.13977
+0.509708 2.15639
+0.52425 2.01097
+0.556992 2.3384
+0.580927 2.09906
+0.612345 2.41324
+0.699465 1.54203
+0.705961 1.60699
+0.760805 1.05854
+0.772274 1.17323
+0.830255 0.593421
+0.835572 0.64659
+0.874768 0.254633
+0.876576 0.272714
+0.888372 0.154756
+0.889598 0.167015
+0.906299 0
+#lambda_13
+0.191333 0
+0.205618 0.142844
+0.205869 0.140328
+0.212083 0.202468
+0.212502 0.198274
+0.21492 0.222454
+0.222865 0.143007
+0.243649 0.350847
+0.24858 0.301542
+0.270393 0.519679
+0.27846 0.439015
+0.361884 1.27326
+0.368281 1.20929
+0.382234 1.34882
+0.392268 1.24847
+0.427324 1.59903
+0.42766 1.59567
+0.445028 1.76934
+0.453342 1.6862
+0.457086 1.72364
+0.457224 1.72226
+0.486085 2.01087
+0.49062 1.96551
+0.508046 2.13977
+0.522588 1.99435
+0.52425 2.01097
+0.548184 1.77163
+0.580927 2.09906
+0.668047 1.22785
+0.699465 1.54203
+0.75431 0.993589
+0.760805 1.05854
+0.818786 0.478731
+0.830255 0.593421
+0.869451 0.201464
+0.874768 0.254633
+0.886564 0.136675
+0.888372 0.154756
+0.903847 0
+#lambda_14
+0.191836 0
+0.205869 0.140328
+0.206288 0.136135
+0.212502 0.198274
+0.220447 0.118827
+0.222865 0.143007
+0.227796 0.0937014
+0.24858 0.301542
+0.256646 0.220878
+0.27846 0.439015
+0.284857 0.375047
+0.368281 1.20929
+0.378315 1.10894
+0.392268 1.24847
+0.392604 1.24511
+0.42766 1.59567
+0.435974 1.51253
+0.453342 1.6862
+0.45348 1.68482
+0.457224 1.72226
+0.461759 1.6769
+0.49062 1.96551
+0.496732 1.90439
+0.501661 1.95368
+0.510091 1.86939
+0.522588 1.99435
+0.546522 1.75501
+0.548184 1.77163
+0.635305 0.900423
+0.668047 1.22785
+0.69674 0.940929
+0.711929 1.09282
+0.738081 0.831299
+0.75431 0.993589
+0.812291 0.413778
+0.818786 0.478731
+0.857982 0.0867738
+0.869451 0.201464
+0.881247 0.0835057
+0.886564 0.136675
+0.900231 0
+#lambda_15
+0.192675 0
+0.206288 0.136135
+0.214233 0.0566879
+0.220447 0.118827
+0.225378 0.0695217
+0.227796 0.0937014
+0.235862 0.0130373
+0.256646 0.220878
+0.263043 0.15691
+0.284857 0.375047
+0.294891 0.274702
+0.378315 1.10894
+0.378651 1.10558
+0.392604 1.24511
+0.400919 1.16197
+0.435974 1.51253
+0.436113 1.51114
+0.45348 1.68482
+0.458015 1.63947
+0.461759 1.6769
+0.467871 1.61578
+0.496732 1.90439
+0.505162 1.8201
+0.510091 1.86939
+0.534025 1.63005
+0.546522 1.75501
+0.633643 0.883803
+0.635305 0.900423
+0.663997 0.613501
+0.69674 0.940929
+0.722892 0.679409
+0.738081 0.831299
+0.796062 0.251487
+0.812291 0.413778
+0.851487 0.0218203
+0.857982 0.0867738
+0.866659 0
+0.872896 0
+0.881247 0.0835057
+0.889597 0
+#lambda_16
+0.208564 0
+0.214233 0.0566879
+0.219164 0.00738249
+0.225378 0.0695217
+0.23233 0
+0.234558 0
+0.235862 0.0130373
+0.237166 0
+0.247352 0
+0.263043 0.15691
+0.273077 0.0565653
+0.294891 0.274702
+0.295227 0.271341
+0.378651 1.10558
+0.386966 1.02244
+0.400919 1.16197
+0.401057 1.16059
+0.436113 1.51114
+0.440648 1.46579
+0.458015 1.63947
+0.464127 1.57834
+0.467871 1.61578
+0.476301 1.53149
+0.505162 1.8201
+0.529096 1.58075
+0.534025 1.63005
+0.621146 0.758838
+0.633643 0.883803
+0.662335 0.596881
+0.663997 0.613501
+0.690149 0.35198
+0.722892 0.679409
+0.780873 0.0995978
+0.796062 0.251487
+0.821211 0
+0.849305 0
+0.851487 0.0218203
+0.853669 0
+#lambda_17
+0.218425 0
+0.219164 0.00738249
+0.219902 0
+0.267421 0
+0.273077 0.0565653
+0.273413 0.0532039
+0.295227 0.271341
+0.303541 0.188198
+0.386966 1.02244
+0.387104 1.02106
+0.401057 1.16059
+0.405592 1.11523
+0.440648 1.46579
+0.44676 1.40467
+0.464127 1.57834
+0.472557 1.49405
+0.476301 1.53149
+0.500235 1.29214
+0.529096 1.58075
+0.616217 0.709547
+0.621146 0.758838
+0.645033 0.519969
+0.647105 0.540688
+0.65191 0.492634
+0.662335 0.596881
+0.686402 0.35621
+0.686539 0.357586
+0.688624 0.336736
+0.690149 0.35198
+0.704418 0.209288
+0.720922 0.374331
+0.758355 0
+0.770913 0
+0.780873 0.0995978
+0.790833 0
+#lambda_18
+0.268093 0
+0.273413 0.0532039
+0.278734 0
+0.284722 0
+0.303541 0.188198
+0.30368 0.186815
+0.387104 1.02106
+0.391639 0.975703
+0.405592 1.11523
+0.411704 1.05411
+0.44676 1.40467
+0.45519 1.32037
+0.472557 1.49405
+0.496491 1.25471
+0.500235 1.29214
+0.500922 1.28527
+0.510982 1.38587
+0.597416 0.521537
+0.616217 0.709547
+0.640104 0.470677
+0.645033 0.519969
+0.649838 0.471916
+0.65191 0.492634
+0.675977 0.251964
+0.686402 0.35621
+0.688487 0.33536
+0.688624 0.336736
+0.702894 0.194043
+0.704418 0.209288
+0.721485 0.0386195
+0.724166 0.0654325
+0.73071 0
+#lambda_19
+0.284998 0
+0.30368 0.186815
+0.308215 0.141462
+0.391639 0.975703
+0.397751 0.914582
+0.411704 1.05411
+0.420134 0.969815
+0.45519 1.32037
+0.479124 1.08103
+0.496491 1.25471
+0.497179 1.24783
+0.500922 1.28527
+0.587356 0.420936
+0.597416 0.521537
+0.621303 0.282668
+0.640104 0.470677
+0.644909 0.422624
+0.649838 0.471916
+0.673905 0.231246
+0.675977 0.251964
+0.678062 0.231114
+0.688487 0.33536
+0.702756 0.192668
+0.702894 0.194043
+0.71996 0.0233748
+0.721485 0.0386195
+0.725347 0
+#lambda_20
+0.294069 0
+0.308215 0.141462
+0.314327 0.0803414
+0.397751 0.914582
+0.406181 0.830285
+0.420134 0.969815
+0.444068 0.730472
+0.479124 1.08103
+0.479811 1.07416
+0.497179 1.24783
+0.583612 0.383499
+0.587356 0.420936
+0.611243 0.182066
+0.621303 0.282668
+0.626108 0.234615
+0.644909 0.422624
+0.668976 0.181954
+0.673905 0.231246
+0.67599 0.210396
+0.678062 0.231114
+0.692331 0.0884218
+0.702756 0.192668
+0.719823 0.0219994
+0.71996 0.0233748
+0.722298 0
+#lambda_21
+0.306293 0
+0.314327 0.0803414
+0.322361 0
+0.323152 0
+0.406181 0.830285
+0.430115 0.590942
+0.444068 0.730472
+0.444755 0.7236
+0.479811 1.07416
+0.566245 0.209823
+0.583612 0.383499
+0.607499 0.144629
+0.611243 0.182066
+0.616048 0.134013
+0.626108 0.234615
+0.64957 0
+0.650781 0
+0.668976 0.181954
+0.671061 0.161104
+0.67599 0.210396
+0.69026 0.0677034
+0.692331 0.0884218
+0.701174 0
+0.717623 0
+0.719823 0.0219994
+0.722023 0
+#lambda_22
+0.371021 0
+0.430115 0.590942
+0.430802 0.584071
+0.444755 0.7236
+0.476326 0.407894
+0.484101 0.485642
+0.532665 0
+0.545262 0
+0.566245 0.209823
+0.587227 0
+0.593036 0
+0.607499 0.144629
+0.612304 0.096576
+0.616048 0.134013
+0.617247 0.122027
+0.620882 0.158375
+0.636719 0
+0.654951 0
+0.671061 0.161104
+0.68533 0.0184115
+0.69026 0.0677034
+0.69703 0
+#lambda_23
+0.372395 0
+0.430802 0.584071
+0.462373 0.268364
+0.476326 0.407894
+0.500342 0.167732
+0.502883 0.193141
+0.522197 0
+0.602647 0
+0.612304 0.096576
+0.613503 0.0845896
+0.617247 0.122027
+0.629449 0
+0.683489 0
+0.68533 0.0184115
+0.687172 0
+#lambda_24
+0.387744 0
+0.425327 0.375838
+0.449224 0.136873
+0.462373 0.268364
+0.486389 0.0282021
+0.500342 0.167732
+0.517115 0
+0.605044 0
+0.613503 0.0845896
+0.621962 0
+#lambda_25
+0.435537 0
+0.449224 0.136873
+0.462911 0
+0.483569 0
+0.486389 0.0282021
+0.489209 0