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diff --git a/src/Persistence_representations/test/data/difference b/src/Persistence_representations/test/data/difference
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@@ -0,0 +1,148611 @@
+#lambda_0
+0.00115996 0
+0.0290362 -0.0278763
+0.0705916 -0.0278762
+0.0707351 -0.0275892
+0.273076 -0.0275892
+0.276873 -0.0351842
+0.297446 -0.0351842
+0.299309 -0.0314592
+0.329297 -0.0314592
+0.36328 -0.0994268
+0.443232 -0.0994268
+0.462177 -0.0615358
+0.485629 -0.0615353
+0.490689 -0.0716542
+0.507542 -0.0716538
+0.536031 -0.0146758
+0.54603 -0.0146758
+0.547048 -0.0167112
+0.571679 -0.0167102
+0.573069 -0.0194902
+0.631171 -0.0194902
+0.63642 -0.00899078
+0.636462 -0.00899078
+0.637257 -0.0105798
+0.640956 -0.0105798
+0.644303 -0.00388494
+0.967347 -0.00388445
+0.96765 -0.00448995
+0.994537 -0.00448995
+0.999027 0
+#lambda_1
+0.00144702 0
+0.0307676 -0.0293206
+0.0707351 -0.0293206
+0.0725442 -0.0257024
+0.133967 -0.0257025
+0.136898 -0.031566
+0.276873 -0.0315662
+0.292533 -0.0628857
+0.292586 -0.0628847
+0.299309 -0.0763307
+0.30002 -0.0763297
+0.310857 -0.0980037
+0.36328 -0.0980032
+0.36834 -0.108122
+0.399923 -0.108122
+0.399925 -0.108118
+0.429631 -0.108118
+0.43268 -0.10202
+0.444423 -0.10202
+0.445313 -0.10024
+0.447291 -0.100241
+0.461584 -0.0716548
+0.462177 -0.0716548
+0.466162 -0.0636848
+0.469657 -0.0636848
+0.476828 -0.0493418
+0.490689 -0.0493418
+0.500148 -0.0682616
+0.515923 -0.0682616
+0.533256 -0.0335956
+0.534084 -0.0335956
+0.536031 -0.0374896
+0.544472 -0.0374896
+0.552128 -0.0528006
+0.562598 -0.0528006
+0.56277 -0.0531446
+0.56849 -0.0531446
+0.571679 -0.0595226
+0.590941 -0.0595229
+0.612036 -0.0173343
+0.630859 -0.0173346
+0.631171 -0.0167111
+0.635073 -0.0167112
+0.635706 -0.0179773
+0.636462 -0.0179778
+0.640956 -0.00899082
+0.758486 -0.00899178
+0.758779 -0.00957878
+0.879378 -0.00957878
+0.88052 -0.00729393
+0.966847 -0.00729393
+0.967347 -0.00829443
+0.990127 -0.00829479
+0.998422 0
+#lambda_2
+0.00267455 0
+0.00722998 -0.00455543
+0.00737515 -0.00441026
+0.0201887 -0.0172238
+0.0212389 -0.0161737
+0.0366312 -0.031566
+0.0725442 -0.031566
+0.0725976 -0.0314592
+0.136898 -0.0314592
+0.145814 -0.0492894
+0.188411 -0.0492894
+0.21348 -0.0994268
+0.292586 -0.0994268
+0.293298 -0.0980028
+0.30002 -0.0980038
+0.300023 -0.0979978
+0.310857 -0.0979979
+0.315917 -0.108117
+0.36834 -0.108117
+0.372727 -0.116892
+0.376471 -0.116892
+0.381543 -0.127037
+0.399925 -0.127038
+0.402974 -0.12094
+0.43268 -0.12094
+0.43357 -0.11916
+0.445313 -0.11916
+0.459606 -0.0905736
+0.461584 -0.0905746
+0.465569 -0.0826046
+0.466162 -0.0826046
+0.473334 -0.0682616
+0.476828 -0.0682616
+0.479777 -0.0623646
+0.500148 -0.0623646
+0.508229 -0.0785253
+0.517273 -0.0785253
+0.528049 -0.0569731
+0.531657 -0.0569728
+0.533256 -0.0601708
+0.541697 -0.0601708
+0.544472 -0.0657208
+0.549487 -0.0657208
+0.551764 -0.0611679
+0.554943 -0.0611679
+0.562598 -0.0764789
+0.568318 -0.0764789
+0.56849 -0.0768229
+0.579102 -0.0768229
+0.581603 -0.0718209
+0.583463 -0.0718209
+0.590941 -0.0568644
+0.609764 -0.0568641
+0.630859 -0.0146748
+0.633743 -0.0146747
+0.635073 -0.0173347
+0.635394 -0.0173347
+0.635706 -0.0167112
+0.67059 -0.0167102
+0.671354 -0.0182382
+0.757859 -0.0182372
+0.758486 -0.0194912
+0.816147 -0.0194909
+0.81754 -0.0167052
+0.875521 -0.0167049
+0.879378 -0.00899126
+0.966553 -0.00899088
+0.966847 -0.00957878
+0.987842 -0.00957878
+0.997421 0
+#lambda_3
+0.00296489 0
+0.00737515 -0.00441026
+0.00842527 -0.00336013
+0.0212389 -0.0161737
+0.0212923 -0.0161203
+0.0544614 -0.0492894
+0.0725976 -0.0492894
+0.0726998 -0.049085
+0.145814 -0.0490846
+0.170882 -0.0992218
+0.171718 -0.0992218
+0.172327 -0.0980038
+0.21348 -0.0980035
+0.21854 -0.108122
+0.293298 -0.108122
+0.2933 -0.108118
+0.300023 -0.108117
+0.303072 -0.102019
+0.315917 -0.102019
+0.320304 -0.110794
+0.372727 -0.110794
+0.3778 -0.120939
+0.381543 -0.120939
+0.389624 -0.1371
+0.402974 -0.1371
+0.403864 -0.13532
+0.43357 -0.13532
+0.447863 -0.106734
+0.459606 -0.106734
+0.463591 -0.0987643
+0.465569 -0.0987653
+0.472741 -0.0844223
+0.473334 -0.0844223
+0.476282 -0.0785253
+0.479777 -0.0785253
+0.488307 -0.0614643
+0.504029 -0.0614633
+0.508229 -0.0530636
+0.509882 -0.0530636
+0.529248 -0.0917944
+0.531657 -0.0917942
+0.540099 -0.0749112
+0.541697 -0.0749122
+0.546034 -0.0662388
+0.546453 -0.0662388
+0.549487 -0.0601708
+0.552168 -0.0601708
+0.554943 -0.0657208
+0.560392 -0.0657208
+0.566359 -0.0776548
+0.566629 -0.0776538
+0.568318 -0.0810318
+0.576826 -0.0810318
+0.579102 -0.0764789
+0.581431 -0.0764789
+0.581603 -0.0768229
+0.597925 -0.0768229
+0.609764 -0.0531446
+0.6143 -0.0531446
+0.631883 -0.0179778
+0.633743 -0.0179768
+0.635394 -0.0146748
+0.669261 -0.0146757
+0.67059 -0.0173337
+0.757096 -0.0173347
+0.757859 -0.0188607
+0.815835 -0.0188609
+0.816147 -0.0182374
+0.874128 -0.0182376
+0.875521 -0.0154518
+0.965927 -0.0154521
+0.966553 -0.0167045
+0.980129 -0.0167045
+0.996833 0
+#lambda_4
+0.00506514 0
+0.00842527 -0.00336013
+0.0084787 -0.0033067
+0.0212923 -0.0161203
+0.0213945 -0.0160181
+0.0726998 -0.0673234
+0.0733093 -0.0667139
+0.0920033 -0.085408
+0.162167 -0.0854083
+0.168464 -0.0980038
+0.170882 -0.0980038
+0.172327 -0.100893
+0.17233 -0.100893
+0.175942 -0.108117
+0.21854 -0.108117
+0.222927 -0.116892
+0.2933 -0.116893
+0.296349 -0.110795
+0.303072 -0.110794
+0.303615 -0.109709
+0.320304 -0.109709
+0.325376 -0.119854
+0.347829 -0.119854
+0.348176 -0.11916
+0.3778 -0.11916
+0.38588 -0.13532
+0.389624 -0.13532
+0.403864 -0.163801
+0.410259 -0.163801
+0.418157 -0.148005
+0.447863 -0.148005
+0.451848 -0.140035
+0.463591 -0.140035
+0.470762 -0.125693
+0.472741 -0.125693
+0.475689 -0.119796
+0.476282 -0.119796
+0.480844 -0.110672
+0.481994 -0.110671
+0.485962 -0.102735
+0.488307 -0.102735
+0.489664 -0.100021
+0.490951 -0.100021
+0.491334 -0.100788
+0.502837 -0.100788
+0.507334 -0.0917942
+0.509882 -0.0917952
+0.517945 -0.0756692
+0.519617 -0.0756692
+0.519996 -0.0749112
+0.529248 -0.0749112
+0.529667 -0.07575
+0.540099 -0.07575
+0.546453 -0.0630418
+0.550569 -0.0630418
+0.552168 -0.0662388
+0.557617 -0.0662388
+0.560392 -0.0717888
+0.560663 -0.0717888
+0.566629 -0.0837218
+0.573792 -0.0837218
+0.576826 -0.0776538
+0.579742 -0.0776538
+0.581431 -0.0810318
+0.595649 -0.0810315
+0.597925 -0.0764786
+0.60246 -0.0764785
+0.6143 -0.0527999
+0.631711 -0.0527996
+0.631883 -0.0531446
+0.651446 -0.0531436
+0.652776 -0.0558029
+0.65299 -0.0558029
+0.659416 -0.0429509
+0.668945 -0.0429515
+0.669261 -0.0435835
+0.730257 -0.0435825
+0.731195 -0.0454585
+0.746537 -0.0454585
+0.752208 -0.0341156
+0.756704 -0.0341156
+0.757096 -0.0348996
+0.807053 -0.0348994
+0.815835 -0.0173345
+0.873816 -0.0173343
+0.874128 -0.0167107
+0.939787 -0.0167105
+0.940188 -0.0175121
+0.965564 -0.017512
+0.965927 -0.0182379
+0.977343 -0.0182376
+0.99558 0
+#lambda_5
+0.005172 0
+0.0084787 -0.0033067
+0.00858089 -0.00320452
+0.0213945 -0.0160181
+0.022004 -0.0154086
+0.0733093 -0.0667139
+0.0733119 -0.0667113
+0.104599 -0.0979981
+0.168464 -0.0979979
+0.17233 -0.105729
+0.172611 -0.105729
+0.173524 -0.107555
+0.175942 -0.107555
+0.180329 -0.11633
+0.218037 -0.11633
+0.220805 -0.110794
+0.222927 -0.110794
+0.227999 -0.120939
+0.296349 -0.12094
+0.296892 -0.119854
+0.303615 -0.119854
+0.303961 -0.119161
+0.325376 -0.11916
+0.333457 -0.135321
+0.348176 -0.13532
+0.349208 -0.133256
+0.365193 -0.133256
+0.366784 -0.130074
+0.371799 -0.130073
+0.3775 -0.118671
+0.38588 -0.118671
+0.406516 -0.159942
+0.409323 -0.159942
+0.410259 -0.15807
+0.410391 -0.15807
+0.410706 -0.15744
+0.411742 -0.15744
+0.416327 -0.14827
+0.418157 -0.148269
+0.419187 -0.146209
+0.431725 -0.146208
+0.434679 -0.1403
+0.451848 -0.140299
+0.453922 -0.136151
+0.456869 -0.136151
+0.45834 -0.133209
+0.458592 -0.133209
+0.461966 -0.12646
+0.470762 -0.12646
+0.47371 -0.120564
+0.475689 -0.120563
+0.480251 -0.111439
+0.480844 -0.111439
+0.484813 -0.103502
+0.485962 -0.103502
+0.487319 -0.100788
+0.489664 -0.100788
+0.491334 -0.0974481
+0.491754 -0.0974483
+0.491816 -0.097324
+0.501371 -0.097325
+0.503717 -0.092633
+0.507334 -0.092633
+0.515397 -0.076507
+0.517945 -0.076508
+0.518324 -0.07575
+0.519996 -0.07575
+0.520813 -0.074115
+0.529667 -0.074115
+0.534608 -0.0839966
+0.544261 -0.0839976
+0.550569 -0.0966136
+0.556018 -0.0966126
+0.557006 -0.0985879
+0.557617 -0.0985879
+0.557888 -0.0980459
+0.560663 -0.0980459
+0.573776 -0.0718199
+0.573792 -0.0718199
+0.579742 -0.0837218
+0.591169 -0.0837218
+0.592615 -0.0866133
+0.592845 -0.0866133
+0.595649 -0.0810057
+0.600184 -0.0810056
+0.60246 -0.0764526
+0.631698 -0.0764519
+0.631711 -0.0764779
+0.640936 -0.0764779
+0.651274 -0.0558029
+0.651446 -0.0558029
+0.652776 -0.0531437
+0.667401 -0.0531446
+0.668945 -0.0562326
+0.729941 -0.0562316
+0.730257 -0.0568636
+0.739896 -0.0568636
+0.746537 -0.0435825
+0.755766 -0.0435825
+0.756704 -0.0454585
+0.801381 -0.0454584
+0.807053 -0.0341155
+0.865034 -0.0341154
+0.873816 -0.0165505
+0.939395 -0.0165503
+0.939787 -0.017334
+0.965163 -0.0173339
+0.965564 -0.0181355
+0.976719 -0.0181356
+0.994855 0
+#lambda_6
+0.00537637 0
+0.00858089 -0.00320452
+0.00919041 -0.00259499
+0.022004 -0.0154086
+0.0220066 -0.015406
+0.0733119 -0.0667113
+0.0735929 -0.0664303
+0.114718 -0.107555
+0.172611 -0.107555
+0.173524 -0.105729
+0.175379 -0.105729
+0.177911 -0.110794
+0.180329 -0.110794
+0.185402 -0.120939
+0.220805 -0.120939
+0.221191 -0.120167
+0.227999 -0.120167
+0.229702 -0.123572
+0.229859 -0.123573
+0.23608 -0.136014
+0.296892 -0.136014
+0.297239 -0.13532
+0.303961 -0.135321
+0.304994 -0.133256
+0.333457 -0.133256
+0.349208 -0.164759
+0.350799 -0.164759
+0.354092 -0.171345
+0.366784 -0.171345
+0.372486 -0.159941
+0.3775 -0.159942
+0.378883 -0.157176
+0.406516 -0.157176
+0.406648 -0.15744
+0.410391 -0.15744
+0.410643 -0.157943
+0.410706 -0.157943
+0.415291 -0.148773
+0.416327 -0.148773
+0.417358 -0.146711
+0.419187 -0.146712
+0.422142 -0.140802
+0.434679 -0.140803
+0.436753 -0.136654
+0.453922 -0.136654
+0.458592 -0.127315
+0.459011 -0.127315
+0.459019 -0.127299
+0.461966 -0.127299
+0.464915 -0.121402
+0.47371 -0.121403
+0.478273 -0.112277
+0.480251 -0.112278
+0.482661 -0.107458
+0.482973 -0.107458
+0.484532 -0.10434
+0.484813 -0.104341
+0.48617 -0.101626
+0.487319 -0.101627
+0.48947 -0.097324
+0.491754 -0.097324
+0.491816 -0.0974483
+0.494161 -0.0974473
+0.503717 -0.116559
+0.51178 -0.116559
+0.515397 -0.123793
+0.515775 -0.123793
+0.518324 -0.12889
+0.519092 -0.128891
+0.519142 -0.128792
+0.520813 -0.128792
+0.530466 -0.109487
+0.544261 -0.109487
+0.54971 -0.0985879
+0.556018 -0.0985879
+0.556289 -0.0980469
+0.557006 -0.0980464
+0.557888 -0.0998106
+0.563057 -0.0998106
+0.563935 -0.101567
+0.56704 -0.101567
+0.571879 -0.0918888
+0.573776 -0.0918888
+0.57552 -0.0884008
+0.578509 -0.0884001
+0.580129 -0.0916396
+0.587298 -0.0916396
+0.589811 -0.0866133
+0.591169 -0.0866133
+0.592615 -0.0837218
+0.59715 -0.0837219
+0.600184 -0.077654
+0.630023 -0.0776548
+0.631698 -0.0810048
+0.63866 -0.0810048
+0.640936 -0.0764519
+0.651261 -0.0764519
+0.651274 -0.0764779
+0.667229 -0.0764789
+0.667401 -0.0768229
+0.728057 -0.0768229
+0.728397 -0.0761433
+0.729941 -0.0761423
+0.739896 -0.0562316
+0.75545 -0.0562316
+0.755766 -0.0568636
+0.794741 -0.0568637
+0.801381 -0.0435827
+0.859362 -0.043583
+0.865034 -0.0322401
+0.916025 -0.0322403
+0.924275 -0.0157403
+0.938458 -0.0157404
+0.939395 -0.0176152
+0.964771 -0.0176151
+0.965163 -0.0183988
+0.975654 -0.0183987
+0.994053 0
+#lambda_7
+0.00659542 0
+0.00919041 -0.00259499
+0.00919301 -0.0025924
+0.0220066 -0.015406
+0.0222876 -0.015125
+0.0735929 -0.0664303
+0.0750937 -0.0649295
+0.107045 -0.0968812
+0.107603 -0.0963232
+0.117379 -0.106099
+0.127589 -0.106099
+0.130645 -0.112213
+0.15977 -0.112213
+0.160479 -0.110795
+0.175379 -0.110794
+0.175765 -0.110022
+0.177911 -0.110022
+0.182984 -0.120167
+0.185402 -0.120167
+0.193482 -0.136327
+0.221191 -0.136327
+0.221347 -0.136014
+0.229859 -0.136014
+0.230205 -0.135321
+0.23608 -0.135321
+0.240402 -0.143966
+0.297239 -0.143965
+0.298271 -0.141901
+0.304994 -0.141901
+0.306585 -0.138719
+0.323826 -0.138719
+0.340139 -0.171345
+0.350799 -0.171345
+0.354092 -0.164759
+0.354224 -0.164759
+0.356501 -0.160205
+0.372486 -0.160205
+0.373868 -0.157441
+0.378883 -0.15744
+0.383468 -0.14827
+0.406648 -0.14827
+0.406899 -0.148773
+0.410643 -0.148773
+0.411062 -0.149612
+0.415291 -0.149612
+0.416322 -0.14755
+0.417358 -0.14755
+0.420312 -0.141642
+0.422142 -0.141641
+0.424216 -0.137493
+0.436753 -0.137493
+0.44185 -0.127299
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