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v2 design: independent masks + affinity-aware Wiener demultiplexer

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Redesign after the independent-mask dominance finding: the affinity
now parameterizes the receiver (closed-form Wiener) instead of the
mask ensemble. New Theorem 1 (spectral closed form), floors
sqrt(1-b^2)/2 vs 1/2, full-cooperation bound with equality at b=1.
GPU (torch) Monte Carlo backend, decision-directed SIC baseline,
TikZ block diagram source, verification suite V1-V11.
This commit is contained in:
KiHoLee
2026-08-17 02:12:10 +09:00
parent b8b853e62e
commit 358faecc0c
29 changed files with 1777 additions and 1514 deletions
Download Patch File Download Diff File Expand all files Collapse all files
data/rate_corrected.csv
+83 -32
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@@ -1,32 +1,83 @@
snr_db,edma,edma_ideal,oma,genie,mac
0.0,0.005074922224889888,0.005085968590195728,0.0028163887856167778,0.0056300312141080765,0.005624549193878107
1.0,0.006383905773418096,0.00640139527831988,0.003545175584028836,0.007086000682366226,0.007077321020140645
2.0,0.008028883565814418,0.008056567110301317,0.004462402142875826,0.008917913609859949,0.008904174704705635
3.0,0.010095150934059762,0.010138955836487416,0.005616707528960678,0.01122250279942868,0.011200762797452897
4.0,0.012689107038928529,0.01275839279457609,0.007069235608353175,0.014121193837328306,0.014086807264803002
5.0,0.015943159211639874,0.016052690844464874,0.008896821012114422,0.017766293841720057,0.017711931943651758
6.0,0.02002158323181113,0.02019462550149604,0.011195969967589819,0.022348664887473,0.022262779372211397
7.0,0.025127416528746203,0.025400572273952007,0.014087824481532864,0.028107199678235918,0.02797162021400105
8.0,0.0315103938374857,0.03194114344476364,0.017724337286238952,0.03534046212793969,0.03512665200704765
9.0,0.03947581013823077,0.040154209208400245,0.022295928433737136,0.044420892444668104,0.044084138042602035
10.0,0.049393985592843845,0.05046071565802713,0.028040940629869258,0.055811993139768964,0.0552824355011896
11.0,0.06170967643915826,0.0633837099689487,0.03525725553198444,0.07008888995333985,0.0692577754750065
12.0,0.0769502860361166,0.07957092682607385,0.04431647029951141,0.08796257073317358,0.08666134967423425
13.0,0.09573105092136092,0.0998211434335674,0.05568105080659391,0.11030790336846401,0.10827678933608055
14.0,0.11875450818829247,0.12511422236562836,0.06992485602776169,0.13819516297913534,0.13503645793865676
15.0,0.14680056444078776,0.1566442653623848,0.08775733805059951,0.17292418580683266,0.1680341158620806
16.0,0.18070258576377174,0.19585451834583373,0.11005152164455634,0.21605933241156736,0.20853051118575192
17.0,0.22130451408346616,0.24447152199498445,0.13787549850403957,0.26946211915160523,0.2579474779472346
18.0,0.26939472678854465,0.3045344507753753,0.17252656142846565,0.3353166538092753,0.31784551311517
19.0,0.3256150019555273,0.3784136758834648,0.21556617256790578,0.41614100494016715,0.38988005918955787
20.0,0.3903482286678335,0.4688105525777229,0.2688526404418522,0.5147756853853035,0.47573343096639775
21.0,0.4635964354662514,0.578728779073748,0.3345666611396269,0.6343391981725063,0.577022932441223
22.0,0.5448699198657065,0.7114072599088519,0.415222874482676,0.7781410805176758,0.6951911159367629
23.0,0.6331155105059729,0.8702063713693562,0.5136586334498267,0.949546269308418,0.8313903238477779
24.0,0.7267127428215634,1.0584449667589202,0.6329899409936198,1.1517917856752415,0.9863786311250137
25.0,0.8235572044540542,1.279194773017329,0.7765249721523131,1.3877675181776066,1.160445692544041
26.0,0.9212304756826651,1.535050886559065,0.9476289515595221,1.6597852620892968,1.3533832196252402
27.0,1.0172315400901657,1.8279087143109145,1.1495412900125348,1.9693701773560432,1.5645062768096216
28.0,1.1092250066402953,2.158784275832778,1.385156635171699,2.3171116947925556,1.7927209139328206
29.0,1.1952558858426987,2.5277120709526093,1.656793870330709,2.702603452084613,2.0366245350378795
30.0,1.273891696882788,2.9337415407944656,1.9659871493886203,3.1244848484421452,2.294620748891627
snr_db,edma,blind,oma,genie,mac
0.0,0.0061610171386374275,0.005619067173648297,0.0028163887856167778,0.0056300312141080765,0.005624549193878107
0.5,0.00691010417674122,0.0063024511854892495,0.003159852086906414,0.006316247537633628,0.006309349361561283
1.0,0.007749905158458553,0.007068641357914831,0.003545175584028836,0.007086000682366226,0.007077321020140645
1.5,0.00869131183087741,0.007927592484830619,0.003977454409125839,0.007949433521018416,0.00793851300292445
2.0,0.00974649960657886,0.008890435799551143,0.004462402142875826,0.008917913609859949,0.008904174704705635
2.5,0.010929072665281737,0.009969612776119413,0.005006425437490073,0.010004179295885398,0.009986896036002313
3.0,0.012254223859673589,0.011179022795476752,0.005616707528960678,0.01122250279942868,0.011200762797452897
3.5,0.013738910514711638,0.012534185756127438,0.006301301667732704,0.012588872126580048,0.012561528941353725
4.0,0.01540204717058254,0.014052420692277471,0.007069235608353175,0.014121193837328306,0.014086807264803002
4.5,0.017264716236363182,0.015753041409356024,0.007930628420075834,0.015839518874396368,0.015796280141876264
5.0,0.019350397380995952,0.017657570045582938,0.008896821012114422,0.017766293841720057,0.017711931943651758
5.5,0.02168521627394186,0.01978996930424075,0.009980521909443284,0.019926640307263106,0.019858304805751847
6.0,0.024298212980174518,0.022176893856949428,0.011195969967589819,0.022348664887473,0.022262779372211397
6.5,0.02722162988947048,0.024847961072149566,0.012559115877317157,0.025063803043938227,0.02495588205804394
7.0,0.030491218490760343,0.027836040749765856,0.014087824481532864,0.028107199678235918,0.02797162021400105
7.5,0.0341465635567491,0.03117756291292608,0.015802100105602065,0.03151812973760773,0.03134784632526704
8.0,0.03823142234629086,0.034912841886155954,0.017724337286238952,0.03534046212793969,0.03512665200704765
8.5,0.04279407522246475,0.03908641383789467,0.019879599469816586,0.039623170253689395,0.03935479204579221
9.0,0.04788768258092579,0.043747383640535986,0.022295928433737136,0.044420892444668104,0.044084138042602035
9.5,0.053570641143065464,0.04894977525797977,0.02500468735797887,0.049794545359324184,0.049372160308651776
10.0,0.05990693045153535,0.054752877862610065,0.028040940629869258,0.055811993139768964,0.0552824355011896
10.5,0.0669664377781569,0.061221577467185394,0.03144387359248828,0.06254877459459882,0.06188517603089207
11.0,0.0748252465960363,0.06842666099667345,0.03525725553198444,0.07008888995333985,0.0692577754750065
11.5,0.08356587028013787,0.07644507639991947,0.03952994922373971,0.07852564771453559,0.07748536205722763
12.0,0.09327740881804818,0.085360128615295,0.04431647029951141,0.08796257073317358,0.08666134967423425
12.5,0.1040556021156975,0.09526158699989311,0.04967759953004671,0.09851435888929258,0.09688797294459299
13.0,0.11600274911459842,0.10624567530369669,0.05568105080659391,0.11030790336846401,0.10827678933608055
13.5,0.12922745762077448,0.11841491058649742,0.06240219710982095,0.12348334468228564,0.12094912763439147
14.0,0.14384418580218838,0.13187775289817832,0.06992485602776169,0.13819516297913534,0.13503645793865676
14.5,0.15997253317558566,0.14674802345073423,0.07834213536920213,0.15461328486468107,0.15068065415770782
15.0,0.17773623713261566,0.16314404591732876,0.08775733805059951,0.17292418580683266,0.1680341158620806
15.5,0.19726183132739222,0.18118746406341277,0.09828492364037603,0.19333196120884794,0.18725971263613045
16.0,0.2186769253440418,0.2010016899599364,0.11005152164455634,0.21605933241156736,0.20853051118575192
16.5,0.24210807182326322,0.2227099414890049,0.12319698872821615,0.24134854631350017,0.23202924390125249
17.0,0.26767819847782004,0.2464328367428638,0.13787549850403957,0.26946211915160523,0.2579474779472346
17.5,0.29550359887341515,0.27228552723458505,0.15425664820473364,0.3006833665641031,0.286484446899344
18.0,0.3256904979371402,0.3003743724210648,0.17252656142846565,0.3353166538092753,0.31784551311517
18.5,0.35833123589614085,0.33079318537477825,0.19288896017297896,0.373687292568455,0.35224023897161644
19.0,0.3935001471563058,0.36361911343894837,0.21556617256790578,0.41614100494016715,0.38988005918955787
19.5,0.4312492471566523,0.39890825744125635,0.24080003515655363,0.46304287205402317,0.4309755647476398
20.0,0.47160387826934685,0.4366911765474922,0.2688526404418522,0.5147756853853035,0.47573343096639775
20.5,0.5145585022781102,0.47696846992857833,0.3000068719913712,0.5717376246277998,0.5243530472781891
21.0,0.5600728580354036,0.5197066667099397,0.3345666611396269,0.6343391981725063,0.577022932441223
21.5,0.608068724285634,0.5648346868062688,0.37285689185605564,0.7029994019650798,0.6339170443856742
22.0,0.6584275350393116,0.6122411513558497,0.415222874482676,0.7781410805176758,0.6951911159367629
22.5,0.7109890845273154,0.6617728169555368,0.46202930580118473,0.8601855102446063,0.7609791636000716
23.0,0.765551528064256,0.713234378387138,0.5136586334498267,0.949546269308418,0.8313903238477779
23.5,0.8218728332902462,0.7663898279130165,0.5705087483681691,1.0466225079410099,0.9065061679270134
24.0,0.8796737646698733,0.8209654765747858,0.6329899409936198,1.1517917856752415,0.9863786311250137
24.5,0.9386423967077436,0.8766546390433925,0.7015210764944273,1.265402692864754,1.071028665954073
25.0,0.9984400543762295,0.9331238669104754,0.7765249721523131,1.3877675181776066,1.160445692544041
25.5,1.0587084809543992,0.9900204972902541,0.8584229962332282,1.5191552559366022,1.2545878766134282
26.0,1.119077943176341,1.0469811771611839,0.9476289515595221,1.6597852620892968,1.3533832196252402
26.5,1.179175910637804,1.1036409416090471,1.0445423566829937,1.80982186122357,1.4567314014163084
27.0,1.2386358989577517,1.1596423762632002,1.1495412900125348,1.9693701773560432,1.5645062768096216
27.5,1.29710604997724,1.2146443868700316,1.2629750132730075,2.1384734087219526,1.676558897795992
28.0,1.354257039699666,1.268330133073086,1.385156635171699,2.3171116947925556,1.7927209139328206
28.5,1.409788954299457,1.3204137546758452,1.516356108640114,2.5052026381166788,1.912808196396262
29.0,1.46343685117662,1.3706456179911464,1.656793870330709,2.702603452084613,2.0366245350378795
29.5,1.5149748174907736,1.4188159253438317,1.8066354251478791,2.9091146169321833,2.1639652711380073
30.0,1.5642184427865493,1.4647566493411088,1.9659871493886203,3.1244848484421452,2.294620748891627
30.5,1.611025724734185,1.5083418630206922,2.134893534015794,3.3484171235368767,2.4283794932787846
31.0,1.655296518212399,1.5494866278103396,2.3133360179346942,3.580575468601784,2.5650310482060616
31.5,1.69697071073413,1.5881446672671957,2.5012334757215813,3.8205922014764093,2.7043684343718026
32.0,1.7360253572646107,1.6243050934735594,2.6984443327894785,4.068075325449263,2.8461902094614113
32.5,1.7724710336003184,1.657988465829612,2.9047701920540088,4.322615799931558,2.990302132880585
33.0,1.8063476712179856,1.6892424524988017,3.1199607780022283,4.58379445293828,3.1365184527185406
33.5,1.8377201214872863,1.7181373382163942,3.3437199433889635,4.851188349616376,3.284662843916385
34.0,1.8666736682078067,1.7447615844356081,3.5757124449541577,5.124376483511814,3.434569033973711
34.5,1.8933096697926761,1.7692176044671448,3.8155711791720877,5.4029447084663,3.5860811564667223
35.0,1.917741470965885,1.7916178721312395,4.062904576010332,5.686489875468202,3.7390538737997208
35.5,1.940090682653944,1.8120814410975492,4.317303874670602,5.974623178146912,3.8933523096222302
36.0,1.96048389087427,1.8307309159245366,4.578350045500127,6.266972741742281,4.048851828833409
36.5,1.9790498228022666,1.8476898860934903,4.845620171250711,6.563185513116703,4.205437699605096
37.0,1.995916971802156,1.8630808114160524,5.118693153295247,6.862928524245812,4.363004667830932
37.5,2.0112116632055823,1.877023330764698,5.397154659675771,7.165889609632854,4.5214564701987765
38.0,2.025056528618942,1.8896329553932965,5.68060127841664,7.471777660490731,4.680705307942014
38.5,2.0375693477816395,1.901020102220074,5.968643879061808,7.7803224966316336,4.840671299425853
39.0,2.048862212555602,1.911289420316504,6.260910216711984,8.09127443203426,5.001281926175381
39.5,2.0590409665385074,1.9205393645088147,6.557046835743057,8.404403603108598,5.162471483808707
40.0,2.0682048751549056,1.9288619725928229,6.856720345408583,8.71949912064466,5.324180546618741
40.5,2.076446484100768,1.936342806471171,7.1596181476676515,9.036368098013284,5.486355452242227
1 snr_db edma edma_ideal blind oma genie mac
2 0.0 0.005074922224889888 0.0061610171386374275 0.005085968590195728 0.005619067173648297 0.0028163887856167778 0.0056300312141080765 0.005624549193878107
3 1.0 0.5 0.006383905773418096 0.00691010417674122 0.00640139527831988 0.0063024511854892495 0.003545175584028836 0.003159852086906414 0.007086000682366226 0.006316247537633628 0.007077321020140645 0.006309349361561283
4 2.0 1.0 0.008028883565814418 0.007749905158458553 0.008056567110301317 0.007068641357914831 0.004462402142875826 0.003545175584028836 0.008917913609859949 0.007086000682366226 0.008904174704705635 0.007077321020140645
5 3.0 1.5 0.010095150934059762 0.00869131183087741 0.010138955836487416 0.007927592484830619 0.005616707528960678 0.003977454409125839 0.01122250279942868 0.007949433521018416 0.011200762797452897 0.00793851300292445
6 4.0 2.0 0.012689107038928529 0.00974649960657886 0.01275839279457609 0.008890435799551143 0.007069235608353175 0.004462402142875826 0.014121193837328306 0.008917913609859949 0.014086807264803002 0.008904174704705635
7 5.0 2.5 0.015943159211639874 0.010929072665281737 0.016052690844464874 0.009969612776119413 0.008896821012114422 0.005006425437490073 0.017766293841720057 0.010004179295885398 0.017711931943651758 0.009986896036002313
8 6.0 3.0 0.02002158323181113 0.012254223859673589 0.02019462550149604 0.011179022795476752 0.011195969967589819 0.005616707528960678 0.022348664887473 0.01122250279942868 0.022262779372211397 0.011200762797452897
9 7.0 3.5 0.025127416528746203 0.013738910514711638 0.025400572273952007 0.012534185756127438 0.014087824481532864 0.006301301667732704 0.028107199678235918 0.012588872126580048 0.02797162021400105 0.012561528941353725
10 8.0 4.0 0.0315103938374857 0.01540204717058254 0.03194114344476364 0.014052420692277471 0.017724337286238952 0.007069235608353175 0.03534046212793969 0.014121193837328306 0.03512665200704765 0.014086807264803002
11 9.0 4.5 0.03947581013823077 0.017264716236363182 0.040154209208400245 0.015753041409356024 0.022295928433737136 0.007930628420075834 0.044420892444668104 0.015839518874396368 0.044084138042602035 0.015796280141876264
12 10.0 5.0 0.049393985592843845 0.019350397380995952 0.05046071565802713 0.017657570045582938 0.028040940629869258 0.008896821012114422 0.055811993139768964 0.017766293841720057 0.0552824355011896 0.017711931943651758
13 11.0 5.5 0.06170967643915826 0.02168521627394186 0.0633837099689487 0.01978996930424075 0.03525725553198444 0.009980521909443284 0.07008888995333985 0.019926640307263106 0.0692577754750065 0.019858304805751847
14 12.0 6.0 0.0769502860361166 0.024298212980174518 0.07957092682607385 0.022176893856949428 0.04431647029951141 0.011195969967589819 0.08796257073317358 0.022348664887473 0.08666134967423425 0.022262779372211397
15 13.0 6.5 0.09573105092136092 0.02722162988947048 0.0998211434335674 0.024847961072149566 0.05568105080659391 0.012559115877317157 0.11030790336846401 0.025063803043938227 0.10827678933608055 0.02495588205804394
16 14.0 7.0 0.11875450818829247 0.030491218490760343 0.12511422236562836 0.027836040749765856 0.06992485602776169 0.014087824481532864 0.13819516297913534 0.028107199678235918 0.13503645793865676 0.02797162021400105
17 15.0 7.5 0.14680056444078776 0.0341465635567491 0.1566442653623848 0.03117756291292608 0.08775733805059951 0.015802100105602065 0.17292418580683266 0.03151812973760773 0.1680341158620806 0.03134784632526704
18 16.0 8.0 0.18070258576377174 0.03823142234629086 0.19585451834583373 0.034912841886155954 0.11005152164455634 0.017724337286238952 0.21605933241156736 0.03534046212793969 0.20853051118575192 0.03512665200704765
19 17.0 8.5 0.22130451408346616 0.04279407522246475 0.24447152199498445 0.03908641383789467 0.13787549850403957 0.019879599469816586 0.26946211915160523 0.039623170253689395 0.2579474779472346 0.03935479204579221
20 18.0 9.0 0.26939472678854465 0.04788768258092579 0.3045344507753753 0.043747383640535986 0.17252656142846565 0.022295928433737136 0.3353166538092753 0.044420892444668104 0.31784551311517 0.044084138042602035
21 19.0 9.5 0.3256150019555273 0.053570641143065464 0.3784136758834648 0.04894977525797977 0.21556617256790578 0.02500468735797887 0.41614100494016715 0.049794545359324184 0.38988005918955787 0.049372160308651776
22 20.0 10.0 0.3903482286678335 0.05990693045153535 0.4688105525777229 0.054752877862610065 0.2688526404418522 0.028040940629869258 0.5147756853853035 0.055811993139768964 0.47573343096639775 0.0552824355011896
23 21.0 10.5 0.4635964354662514 0.0669664377781569 0.578728779073748 0.061221577467185394 0.3345666611396269 0.03144387359248828 0.6343391981725063 0.06254877459459882 0.577022932441223 0.06188517603089207
24 22.0 11.0 0.5448699198657065 0.0748252465960363 0.7114072599088519 0.06842666099667345 0.415222874482676 0.03525725553198444 0.7781410805176758 0.07008888995333985 0.6951911159367629 0.0692577754750065
25 23.0 11.5 0.6331155105059729 0.08356587028013787 0.8702063713693562 0.07644507639991947 0.5136586334498267 0.03952994922373971 0.949546269308418 0.07852564771453559 0.8313903238477779 0.07748536205722763
26 24.0 12.0 0.7267127428215634 0.09327740881804818 1.0584449667589202 0.085360128615295 0.6329899409936198 0.04431647029951141 1.1517917856752415 0.08796257073317358 0.9863786311250137 0.08666134967423425
27 25.0 12.5 0.8235572044540542 0.1040556021156975 1.279194773017329 0.09526158699989311 0.7765249721523131 0.04967759953004671 1.3877675181776066 0.09851435888929258 1.160445692544041 0.09688797294459299
28 26.0 13.0 0.9212304756826651 0.11600274911459842 1.535050886559065 0.10624567530369669 0.9476289515595221 0.05568105080659391 1.6597852620892968 0.11030790336846401 1.3533832196252402 0.10827678933608055
29 27.0 13.5 1.0172315400901657 0.12922745762077448 1.8279087143109145 0.11841491058649742 1.1495412900125348 0.06240219710982095 1.9693701773560432 0.12348334468228564 1.5645062768096216 0.12094912763439147
30 28.0 14.0 1.1092250066402953 0.14384418580218838 2.158784275832778 0.13187775289817832 1.385156635171699 0.06992485602776169 2.3171116947925556 0.13819516297913534 1.7927209139328206 0.13503645793865676
31 29.0 14.5 1.1952558858426987 0.15997253317558566 2.5277120709526093 0.14674802345073423 1.656793870330709 0.07834213536920213 2.702603452084613 0.15461328486468107 2.0366245350378795 0.15068065415770782
32 30.0 15.0 1.273891696882788 0.17773623713261566 2.9337415407944656 0.16314404591732876 1.9659871493886203 0.08775733805059951 3.1244848484421452 0.17292418580683266 2.294620748891627 0.1680341158620806
33 15.5 0.19726183132739222 0.18118746406341277 0.09828492364037603 0.19333196120884794 0.18725971263613045
34 16.0 0.2186769253440418 0.2010016899599364 0.11005152164455634 0.21605933241156736 0.20853051118575192
35 16.5 0.24210807182326322 0.2227099414890049 0.12319698872821615 0.24134854631350017 0.23202924390125249
36 17.0 0.26767819847782004 0.2464328367428638 0.13787549850403957 0.26946211915160523 0.2579474779472346
37 17.5 0.29550359887341515 0.27228552723458505 0.15425664820473364 0.3006833665641031 0.286484446899344
38 18.0 0.3256904979371402 0.3003743724210648 0.17252656142846565 0.3353166538092753 0.31784551311517
39 18.5 0.35833123589614085 0.33079318537477825 0.19288896017297896 0.373687292568455 0.35224023897161644
40 19.0 0.3935001471563058 0.36361911343894837 0.21556617256790578 0.41614100494016715 0.38988005918955787
41 19.5 0.4312492471566523 0.39890825744125635 0.24080003515655363 0.46304287205402317 0.4309755647476398
42 20.0 0.47160387826934685 0.4366911765474922 0.2688526404418522 0.5147756853853035 0.47573343096639775
43 20.5 0.5145585022781102 0.47696846992857833 0.3000068719913712 0.5717376246277998 0.5243530472781891
44 21.0 0.5600728580354036 0.5197066667099397 0.3345666611396269 0.6343391981725063 0.577022932441223
45 21.5 0.608068724285634 0.5648346868062688 0.37285689185605564 0.7029994019650798 0.6339170443856742
46 22.0 0.6584275350393116 0.6122411513558497 0.415222874482676 0.7781410805176758 0.6951911159367629
47 22.5 0.7109890845273154 0.6617728169555368 0.46202930580118473 0.8601855102446063 0.7609791636000716
48 23.0 0.765551528064256 0.713234378387138 0.5136586334498267 0.949546269308418 0.8313903238477779
49 23.5 0.8218728332902462 0.7663898279130165 0.5705087483681691 1.0466225079410099 0.9065061679270134
50 24.0 0.8796737646698733 0.8209654765747858 0.6329899409936198 1.1517917856752415 0.9863786311250137
51 24.5 0.9386423967077436 0.8766546390433925 0.7015210764944273 1.265402692864754 1.071028665954073
52 25.0 0.9984400543762295 0.9331238669104754 0.7765249721523131 1.3877675181776066 1.160445692544041
53 25.5 1.0587084809543992 0.9900204972902541 0.8584229962332282 1.5191552559366022 1.2545878766134282
54 26.0 1.119077943176341 1.0469811771611839 0.9476289515595221 1.6597852620892968 1.3533832196252402
55 26.5 1.179175910637804 1.1036409416090471 1.0445423566829937 1.80982186122357 1.4567314014163084
56 27.0 1.2386358989577517 1.1596423762632002 1.1495412900125348 1.9693701773560432 1.5645062768096216
57 27.5 1.29710604997724 1.2146443868700316 1.2629750132730075 2.1384734087219526 1.676558897795992
58 28.0 1.354257039699666 1.268330133073086 1.385156635171699 2.3171116947925556 1.7927209139328206
59 28.5 1.409788954299457 1.3204137546758452 1.516356108640114 2.5052026381166788 1.912808196396262
60 29.0 1.46343685117662 1.3706456179911464 1.656793870330709 2.702603452084613 2.0366245350378795
61 29.5 1.5149748174907736 1.4188159253438317 1.8066354251478791 2.9091146169321833 2.1639652711380073
62 30.0 1.5642184427865493 1.4647566493411088 1.9659871493886203 3.1244848484421452 2.294620748891627
63 30.5 1.611025724734185 1.5083418630206922 2.134893534015794 3.3484171235368767 2.4283794932787846
64 31.0 1.655296518212399 1.5494866278103396 2.3133360179346942 3.580575468601784 2.5650310482060616
65 31.5 1.69697071073413 1.5881446672671957 2.5012334757215813 3.8205922014764093 2.7043684343718026
66 32.0 1.7360253572646107 1.6243050934735594 2.6984443327894785 4.068075325449263 2.8461902094614113
67 32.5 1.7724710336003184 1.657988465829612 2.9047701920540088 4.322615799931558 2.990302132880585
68 33.0 1.8063476712179856 1.6892424524988017 3.1199607780022283 4.58379445293828 3.1365184527185406
69 33.5 1.8377201214872863 1.7181373382163942 3.3437199433889635 4.851188349616376 3.284662843916385
70 34.0 1.8666736682078067 1.7447615844356081 3.5757124449541577 5.124376483511814 3.434569033973711
71 34.5 1.8933096697926761 1.7692176044671448 3.8155711791720877 5.4029447084663 3.5860811564667223
72 35.0 1.917741470965885 1.7916178721312395 4.062904576010332 5.686489875468202 3.7390538737997208
73 35.5 1.940090682653944 1.8120814410975492 4.317303874670602 5.974623178146912 3.8933523096222302
74 36.0 1.96048389087427 1.8307309159245366 4.578350045500127 6.266972741742281 4.048851828833409
75 36.5 1.9790498228022666 1.8476898860934903 4.845620171250711 6.563185513116703 4.205437699605096
76 37.0 1.995916971802156 1.8630808114160524 5.118693153295247 6.862928524245812 4.363004667830932
77 37.5 2.0112116632055823 1.877023330764698 5.397154659675771 7.165889609632854 4.5214564701987765
78 38.0 2.025056528618942 1.8896329553932965 5.68060127841664 7.471777660490731 4.680705307942014
79 38.5 2.0375693477816395 1.901020102220074 5.968643879061808 7.7803224966316336 4.840671299425853
80 39.0 2.048862212555602 1.911289420316504 6.260910216711984 8.09127443203426 5.001281926175381
81 39.5 2.0590409665385074 1.9205393645088147 6.557046835743057 8.404403603108598 5.162471483808707
82 40.0 2.0682048751549056 1.9288619725928229 6.856720345408583 8.71949912064466 5.324180546618741
83 40.5 2.076446484100768 1.936342806471171 7.1596181476676515 9.036368098013284 5.486355452242227