# m=1, S=4
0.0 0.0
0.024216995736234995 0.07607993589697121
0.047645203132908605 0.14926273898770584
0.0705935048402338 0.22016199523214008
0.09324685916985724 0.2890266682389808
0.11571778958113794 0.3558891486373603
0.13807544254241372 0.4206525702945428
0.16036257843947246 0.4831440991355188
0.1826057455954742 0.5431482618482643
0.2048214679402741 0.6004281871085954
0.2270200461656261 0.6547393716681693
0.24920790778450172 0.7058387602387418
0.2713890659380956 0.7534908592812117
0.2935660272641113 0.7974719573302642
0.31574035780042725 0.8375731239429387
0.3379130360850619 0.8736024086016929
0.36008467361402235 0.9053865030377244
0.3822556525381878 0.93277203093153
0.4044262116892448 0.9556265663340462
0.4265965003325304 0.9738394429156515
0.4487666117574345 0.9873223917197963
0.4709366042694598 0.9960100300245278
0.4931065143095389 0.9998602147369878
0.5152763646533488 0.9988542682681454
0.5374461695357973 0.9929970816700133
0.559615937853801 0.9823170980911453
0.5817856751680203 0.9668661787694361
0.6039553849539426 0.9467193534906853
0.6261250693838153 0.9219744574826985
0.6482947298153547 0.8927516569544199
0.6704643670971919 0.8591928658445934
0.6926339817597772 0.8214610567629271
0.7148035741346964 0.7797394695561574
0.7369731444292443 0.7342307213911619
0.7591426927730329 0.685155822704047
0.7813122192471222 0.6327531038090909
0.8034817239022274 0.5772770573884857
0.8256512067700973 0.5189971024886024
0.8478206678706273 0.45819627602769825
0.8699901072163038 0.3951698581709746
0.8921595248149827 0.3302239382495394
0.9143289206716265 0.2636739281883143
0.9364982947893881 0.1958430306627295
0.9586676471702903 0.12706066942384608
0.9808369778156492 0.057660889415242014
1.0030062867263394 -0.012019265548324512
1.0251755739029593 -0.08164138966151929
1.047344839345935 -0.15086735861867462
1.0695140830555847 -0.21936097173198102
1.091683305032159 -0.28678958470264543
1.113852505275867 -0.3528257251154735
1.1360216837868908 -0.4171486828112868
1.1581908405653962 -0.47944606741364076
1.180359975611539 -0.5394153254458756
1.2025290889254683 -0.5967652096708311
1.2246981805073294 -0.6512171935176364
1.2468672503572649 -0.7025068237267156
1.2690362984754158 -0.7503850046442402
1.2912053248619222 -0.7946192079292433
1.3133743295169238 -0.8349946017988851
1.3355433124405596 -0.8713150943281537
1.3577122736329683 -0.9034042857377171
1.379881213094289 -0.9311063250456617
1.4020501308246602 -0.9542866669233376
1.4242190268242203 -0.9728327250802071
1.4463879010931078 -0.9866544190051121
1.4685567536314612 -0.9956846114093009
1.4907255844394194 -0.9998794342473659
1.5128943935171202 -0.9992185017333648
1.5350631808647026 -0.9937050093181973
1.5572319464823048 -0.9833657181481316
1.5794006903700655 -0.9682508250805164
1.6015694125281228 -0.948433718888487
1.6237381129566153 -0.9240106238391708
1.6459067916556818 -0.8951001323768378
1.6680754486254603 -0.8618426291809701
1.6902440838660893 -0.8243996093967209
1.7124126973777074 -0.7829528943491448
1.7345812891604528 -0.7377037485504031
1.7567498592144646 -0.6888719022884676
1.7789184075398805 -0.6366944845443389
1.8010869341368392 -0.5814248714202254
1.8232554390054792 -0.5233314556713952
1.845423922145939 -0.4626963433175084
1.8675923835583568 -0.39981398366331755
1.8897608232428713 -0.33498973938195453
1.9119292411996207 -0.26853840360504605
1.9340976374287435 -0.20078267122119559
1.9562660119303785 -0.1320515718066922
1.9784343647046636 -0.06267887179857615
2.0006026957517373 0.006998546330498012
2.0227710050717382 0.07664232002453039
2.044939292664805 0.1459142497791011
2.0671075585310756 0.2144779414796515
2.0892758026706884 0.2820004399677438
2.1114440250837823 0.34815384590257464
2.1336122257704955 0.4126169080661918
2.155780404730966 0.4750765833801658
2.1779485619653327 0.535229557058316
2.2001166974737343 0.5927837155137249
2.222284811256308 0.6474595648677537
2.244452903313194 0.6989915881729794
2.266620973644529 0.7471295347596296
2.2887890222504526 0.7916396354447461
2.3109570491311024 0.8323057377033631
2.3331250542866173 0.8689303552896925
2.3552930377171353 0.9013356272117767
2.3774609994227953 0.9293641814032825
2.3996289394037356 0.9528798988989313
2.421796857660094 0.9717685748032415
2.4439647541920095 0.98593847284345
2.466132628999621 0.9953207708142547
2.488300482083065 0.9998698947518591
2.510468313442482 0.9995637402151387
2.5326361230780092 0.9944037795999608
2.5548039109897855 0.9844150549661058
2.5769716771779487 0.9696460564121862
2.5991394216426382 0.9501684865897229
2.6213071443839913 0.9260769125004309
2.643474845402147 0.8974883062680965
2.6656425246972435 0.8645414771155412
2.6878101822694194 0.8273963973054455
2.7099778181188126 0.786233425318681
2.7321454322455616 0.7412524300427751
2.7543130246498047 0.6926718202237833
2.776480595331681 0.6407274838948418
2.7986481442913282 0.5856716429317721
2.8208156715288846 0.5277716282982038
2.842983177044489 0.46730858192775615
2.86515066083828 0.40457609154701374
2.8873181229103952 0.339878765068612
2.9094855632609726 0.2735307514771352
2.9316529818901524 0.2058542153903009
2.9538203787980715 0.13717777270279496
2.9759877539848683 0.06783489490904332
2.998155107450682 -0.001837710146758778
3.02032243919565 -0.07150173323063123
3.0424897492199103 -0.14081890644984818
3.064657037523603 -0.20945264577839384
3.086824304106865 -0.27706968540125054
3.108991548969836 -0.3433416959417136
3.131158772112652 -0.4079468787142412
3.1533259735354537 -0.4705715282618138
3.1754931532383783 -0.5309115555908288
3.197660311221565 -0.5886739647074477
3.2198274474851507 -0.6435782752861143
3.2419945620292756 -0.695357884562574
3.264161654854076 -0.7437613618388715
3.2863287259596916 -0.7885536693150632
3.3084957753462603 -0.829517303320145
3.3306628030139205 -0.8664533504012514
3.3528298089628104 -0.8991824531436265
3.374996793193069 -0.9275456810322128
3.3971637557048338 -0.9514053021268102
3.419330696498244 -0.970645451804393
3.4414976155734367 -0.9851726953219879
3.4636645129305506 -0.9949164814690987
3.4858313885697245 -0.9998294851074968
3.507998242491097 -0.9998878369357196
3.5301650746948057 -0.9950912393632103
3.552331885180989 -0.9854629679320334
3.574498673949786 -0.9710497582798233
3.5966654410013335 -0.9519215791933783
3.6188321863357715 -0.9281712928553837
3.640998909953237 -0.8999142039344752
3.663165611853869 -0.8672874997085509
3.685332292037806 -0.8304495839403087
3.707498950505186 -0.7895793077398421
3.7296655872561475 -0.7448751011492788
3.7518322022908284 -0.6965540096664492
3.773998795609367 -0.6448506403861077
3.7961653672119016 -0.5900160228760329
3.818331917098571 -0.5323163903192946
3.840498445269513 -0.4720318868410731
3.8626649517248666 -0.4094552072967764
3.8848314364647694 -0.3448901761260789
3.9069978994893595 -0.27865027217331817
3.929164340798776 -0.21105710663698735
3.951330760393157 -0.14243886153858604
3.97349715827264 -0.07312869629273067
3.9956635344373646 -0.0034631301152523997
4.0 0.010167773200131321

# m=2, S=6
0.0 1.0
0.024216995736234995 0.9971059216769563
0.047645203132908605 0.9888055153142312
0.0705935048402338 0.9754748392585602
0.09324685916985724 0.9573361293113782
0.11571778958113794 0.9345469504145526
0.13807544254241372 0.9072445032831685
0.16036257843947246 0.875567793902401
0.1826057455954742 0.8396684519948859
0.2048214679402741 0.799715616824734
0.2270200461656261 0.7558977077912192
0.24920790778450172 0.708422569101973
0.2713890659380956 0.6575167770977607
0.2935660272641113 0.6034245233236863
0.31574035780042725 0.5464062849713255
0.3379130360850619 0.4867373874113709
0.36008467361402235 0.424706508163451
0.3822556525381878 0.3606141441306109
0.4044262116892448 0.29477105118492497
0.4265965003325304 0.22749666005047764
0.4487666117574345 0.15911747100773604
0.4709366042694598 0.08996543018806342
0.4931065143095389 0.020376291093830975
0.5152763646533488 -0.04931203403468157
0.5374461695357973 -0.11876112749891349
0.559615937853801 -0.18763371785319158
0.5817856751680203 -0.2555953233115814
0.6039553849539426 -0.322315879763741
0.6261250693838153 -0.3874713461065299
0.6482947298153547 -0.45074527951030513
0.6704643670971919 -0.5118303732478559
0.6926339817597772 -0.5704299498022691
0.7148035741346964 -0.6262594021241656
0.7369731444292443 -0.6790475761184714
0.7591426927730329 -0.7285380876984598
0.7813122192471222 -0.7744905680442956
0.8034817239022274 -0.8166818310400807
0.8256512067700973 -0.8549069572336392
0.8478206678706273 -0.8889802890637412
0.8699901072163038 -0.918736332527244
0.8921595248149827 -0.944030560911003
0.9143289206716265 -0.96474011668778
0.9364982947893881 -0.9807644081691621
0.9586676471702903 -0.9920255980191389
0.9808369778156492 -0.998468981256875
1.0030062867263394 -1.0000632509137344
1.0251755739029593 -0.9968006500551203
1.047344839345935 -0.988697009429503
1.0695140830555847 -0.9757916705624216
1.091683305032159 -0.958147294669564
1.113852505275867 -0.9358495583175312
1.1360216837868908 -0.909006737310886
1.1581908405653962 -0.8777491808269047
1.180359975611539 -0.8422286783524411
1.2025290889254683 -0.8026177224979016
1.2246981805073294 -0.7591086712689766
1.2468672503572649 -0.7119128138650306
1.2690362984754158 -0.6612593445415441
1.2912053248619222 -0.6073942495204524
1.3133743295169238 -0.5505791123544681
1.3355433124405596 -0.49108984354746377
1.3577122736329683 -0.42921534060079247
1.379881213094289 -0.36525608499326523
1.4020501308246602 -0.2995226829087334
1.4242190268242203 -0.23233435679836295
1.4463879010931078 -0.16401739510340346
1.4685567536314612 -0.09490356766739379
1.4907255844394194 -0.025328514533318996
1.5128943935171202 0.0443698840495676
1.5350631808647026 0.11385314849334432
1.5572319464823048 0.1827838436447749
1.5794006903700655 0.25082721748169134
1.6015694125281228 0.31765282677439144
1.6237381129566153 0.3829361418173931
1.6459067916556818 0.44636012243858325
1.6680754486254603 0.5076167576323366
1.6902440838660893 0.5664085613398864
1.7124126973777074 0.6224500171132404
1.7345812891604528 0.6754689646472213
1.7567498592144646 0.7252079214465607
1.7789184075398805 0.7714253332100246
1.8010869341368392 0.8138967468597584
1.8232554390054792 0.8524159005197315
1.845423922145939 0.8867957251505185
1.8675923835583568 0.9168692529767022
1.8897608232428713 0.9424904282958506
1.9119292411996207 0.9635348167321075
1.9340976374287435 0.9799002094906293
1.9562660119303785 0.9915071196790237
1.9784343647046636 0.9982991682861014
2.0006026957517373 1.000243357944113
2.0227710050717382 0.9973302331455927
2.044939292664805 0.9895739261373326
2.0671075585310756 0.9770120882691835
2.0892758026706884 0.9597057071316206
2.1114440250837823 0.9377388103706359
2.1336122257704955 0.9112180576188158
2.155780404730966 0.8802722225247718
2.1779485619653327 0.8450515673967665
2.2001166974737343 0.805727113497836
2.222284811256308 0.7624898105364082
2.244452903313194 0.7155496093859045
2.266620973644529 0.6651344425367088
2.2887890222504526 0.611489117231911
2.3109570491311024 0.5548741266622053
2.3331250542866173 0.49556438499319533
2.3552930377171353 0.43384789236818666
2.3774609994227953 0.37002433636954135
2.3996289394037356 0.30440363673018467
2.421796857660094 0.23730444036237996
2.4439647541920095 0.16905257401209728
2.466132628999621 0.09997946205301966
2.488300482083065 0.030420517103458708
2.510468313442482 -0.03928648871863136
2.5326361230780092 -0.10880306399338578
2.5548039109897855 -0.17779164168479314
2.5769716771779487 -0.2459172183328936
2.5991394216426382 -0.31284898079268947
2.6213071443839913 -0.3782619126205721
2.643474845402147 -0.44183837230795336
2.6656425246972435 -0.5032696356985482
2.6878101822694194 -0.5622573950997288
2.7099778181188126 -0.618515207808707
2.7321454322455616 -0.6717698870199859
2.7543130246498047 -0.7217628283603578
2.776480595331681 -0.7682512656103505
2.7986481442913282 -0.8110094495149274
2.8208156715288846 -0.8498297439597504
2.842983177044489 -0.8845236341906114
2.86515066083828 -0.9149226421807709
2.8873181229103952 -0.9408791447018466
2.9094855632609726 -0.9622670901263737
2.9316529818901524 -0.9789826104819171
2.9538203787980715 -0.990944525785276
2.9759877539848683 -0.9980947382083942
2.998155107450682 -1.0003985141625602
3.02032243919565 -0.9978446529317248
3.0424897492199103 -0.9904455410366607
3.064657037523603 -0.9782370920665503
3.086824304106865 -0.9612785722707211
3.108991548969836 -0.9396523127579611
3.131158772112652 -0.9134633097014341
3.1533259735354537 -0.8828387144910119
3.1754931532383783 -0.8479272163092058
3.197660311221565 -0.8088983201292094
3.2198274474851507 -0.7659415236413429
3.2419945620292756 -0.7192653971049225
3.264161654854076 -0.6690965705939126
3.2863287259596916 -0.615678633554344
3.3084957753462603 -0.5592709520172265
3.3306628030139205 -0.5001474092104764
3.3528298089628104 -0.43859507568528366
3.374996793193069 -0.3749128154145469
3.3971637557048338 -0.30940983463185123
3.419330696498244 -0.2424041804574428
3.4414976155734367 -0.17422119660141772
3.4636645129305506 -0.1051919436427036
3.4858313885697245 -0.03565159155436448
3.507998242491097 0.034062207719535095
3.5301650746948057 0.10361095973346537
3.552331885180989 0.17265697109588754
3.574498673949786 0.2408649891303678
3.5966654410013335 0.3079038296810504
3.6188321863357715 0.3734479851588095
3.640998909953237 0.4371792050203948
3.663165611853869 0.49878804100678875
3.685332292037806 0.557975349638156
3.707498950505186 0.6144537446703534
3.7296655872561475 0.6679489924609763
3.7518322022908284 0.7182013434701627
3.773998795609367 0.7649667934315146
3.7961653672119016 0.8080182680700153
3.818331917098571 0.8471467256150769
3.840498445269513 0.8821621717560196
3.8626649517248666 0.9128945821124501
3.8848314364647694 0.9391947277410809
3.9069978994893595 0.9609348996713596
3.929164340798776 0.9780095289525468
3.951330760393157 0.9903356992022347
3.97349715827264 0.9978535491682541
3.9956635344373646 1.0005265633499534
4.0 1.0004808954937492