-
lfunc_lfunctions • Show schema
Hide schema
{'Lhash': '57886260556385623970050717887,69800513509014569459285180606,242891387962515884556265443028,467961052522111514883907299658,1646665815391682336732187035432,1769804116036046200019915018141,1836123686188482961014906974023,1994094427679836310601203289733', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': -8, 'a5': 0, 'a6': 0, 'a7': 8, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 153866267628850.03, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [1, 0, 8, 0, 24, 0, 32, 0, 16]], [3, [1]], [11, [1]]], 'bad_primes': [2, 3, 11], 'central_character': '2178.1', 'coefficient_field': '1.1.1.1', 'conductor': 506364211574415072751124736, 'conductor_radical': 66, 'degree': 16, 'euler_factors': [[1, 0, 8, 0, 24, 0, 32, 0, 16], [1], [1, 0, -68, 0, 1659, 0, 3038, 0, -780139, 0, 1898750, 0, 648046875, 0, -16601562500, 0, 152587890625], [1, -8, 200, -1120, 21090, -98504, 1574192, -6568680, 90298195, -321865320, 3779634992, -11588897096, 121579653090, -316372278880, 2768257440200, -5425784582792, 33232930569601], [1], [1, 36, 1484, 38256, 929466, 18059988, 324042736, 4908543348, 69129510947, 829543825812, 9254984582896, 87172112618292, 758193970324986, 5273914464175344, 34574358321761804, 141745549885174404, 665416609183179841], [1, 0, -1114, 0, 676455, 0, -279227046, 0, 89888383729, 0, -23321322108966, 0, 4718785999751655, 0, -649041172273953754, 0, 48661191875666868481], [1, -72, 4186, -170388, 5980591, -173969856, 4512735484, -101450959344, 2060240945317, -36623796323184, 588104201010364, -8184565142963136, 101571744270937231, -1044660117534196788, 9264936251210949946, -57528481376367656712, 288441413567621167681], [1, 0, -2890, 0, 3786654, 0, -3094240920, 0, 1853502417991, 0, -865895473293720, 0, 296536605658239774, 0, -63333264608538727690, 0, 6132610415680998648961], [1, 0, -2156, 0, 3375920, 0, -3473624244, 0, 3317362524974, 0, -2456828428920564, 0, 1688791870443299120, 0, -762824672590991252396, 0, 250246473680347348787521], [1, 88, 9046, 517132, 31279011, 1347276744, 59951673144, 2050875917376, 71829875109877, 1970891756598336, 55366629133620024, 1195713069625694664, 26677588141918450851, 423856015302955582732, 7125197542151221138006, 66611066299430076188248, 727423121747185263828481], [1, -108, 13180, -947280, 67976810, -3657517884, 191683420752, -8089141970460, 330646857151955, -11074035357559740, 359245591519989072, -9384190226368598556, 238767148468091572010, -4555075804303980000720, 86763307436971665003580, -973302619967460896366412, 12337511914217166362274241], [1, 0, -2546, 0, 9721190, 0, -17784166584, 0, 41314150786079, 0, -50253804350570424, 0, 77622975288078773990, 0, -57446646304732309762226, 0, 63759030914653054346432641], [1, 220, 31372, 3165360, 260367098, 17783660620, 1057801495344, 54716120440300, 2511157128504995, 101170106694114700, 3616412810083562544, 112416975119224430380, 3043222787121766771898, 68408121655177430414640, 1253613537371721546852172, 16254778615710470828398780, 136614025729312093462315201], [1, 0, -13522, 0, 85478103, 0, -333215608734, 0, 881858112462505, 0, -1625985874842733854, 0, 2035343613836532919383, 0, -1571141234599202674974802, 0, 566977372488557307219621121], [1, 0, -15090, 0, 116674479, 0, -569860816310, 0, 1915316083011921, 0, -4496475943738545110, 0, 7264116941446840355919, 0, -7413096865233997673532690, 0, 3876269050118516845397872321], [1, 0, -12960, 0, 92791479, 0, -458032464230, 0, 1773271707430221, 0, -5550144718794497030, 0, 13624613467522162380759, 0, -23058398540384344010777760, 0, 21559177407076402401757871041], [1, 160, 35338, 3978600, 502653983, 43077534160, 3905920441176, 263127071272000, 18406379905085885, 979095832203112000, 54080753387172749016, 2219370686471965671760, 96362444448310962820223, 2838106108341944716338600, 93799384053728099662747498, 1580293205337810895217990560, 36751693856637464631913392961], [1, 276, 43994, 4996896, 482908971, 41933206068, 3476811862576, 269042159764848, 19132748358103517, 1207730255184402672, 70061656537004347696, 3793209980070573801492, 196093724325237299526411, 9108530934213478577462304, 359990535490417917217816634, 10138094144959543219253874804, 164890958756244164895763202881], [1, 0, -26640, 0, 346358039, 0, -2907307265670, 0, 17242135660590621, 0, -73879564804188291270, 0, 223661926759607007022679, 0, -437153948210671208616180240, 0, 416997623116370028124580469121], [1, 488, 128380, 23929440, 3510188960, 426280023104, 44087274097812, 3945826773076760, 308064264210468590, 21027310873726054040, 1252001034862722748692, 64510757478900884181056, 2830827311247188615545760, 102839779434341500548286560, 2940164928208419413385065980, 59557966851396335272763359592, 650377879817809571042122834561], [1, 368, 96356, 18140512, 2814104426, 362245975504, 40324313267664, 3876730310947536, 327939188906088307, 24194673870623572176, 1570635268044887480784, 88057452457989855557584, 4269302616681645956538986, 171759375896205313171906912, 5693821636967994723222128996, 135714764288313647981314967408, 2301619141096101839813550846721], [1, 0, -19194, 0, 120240750, 0, 162316729624, 0, -5418844315837401, 0, 7703279458166001304, 0, 270817307211572394120750, 0, -2051646808535861621928630234, 0, 5072820298953863752478356399681], [1, 0, -29790, 0, 475225134, 0, -5604148016720, 0, 51186285493106271, 0, -351616805464718269520, 0, 1870765942692671407303854, 0, -7357844122209159159641890590, 0, 15496731425178936435099327730561], [1, 832, 367450, 110841900, 25307581415, 4606123001896, 688751061919332, 86087268364399120, 9078368685190788125, 809995108040631320080, 60974636299704941960292, 3836771511838895188345384, 198346488774351026707779815, 8173749133087494875640653100, 254952375547773693208412815450, 5431597828472255352453665919808, 61425365346268570446197767595521], [1, 0, -29630, 0, 467576094, 0, -4709322841840, 0, 45707035194046031, 0, -490054023360329977840, 0, 5063179087792855098771294, 0, -33387825642810262823191385630, 0, 117257864492369852051862561201601], [1, 104, -496, 1524184, 374693756, 30010087432, 832239419376, 317008079280312, 67725485447422342, 3363138713084830008, 93669279853697270256, 35833613817215680123528, 4746508397835515683950716, 204837584273424112526013016, -707177399875704756942129136, 1573093313849315692954639097576, 160470643909878751793805444097921], [1, 0, -20442, 0, 399146438, 0, -5112867228504, 0, 72337351135590255, 0, -670192596278280146904, 0, 6858078935007383466156038, 0, -46039300461537150669647730042, 0, 295216374856540727739668685278401], [1, 572, 213096, 58748668, 12933432856, 2375919319796, 371030287552344, 49938113448355924, 5840026563268159902, 593314725879916733044, 52373953066190070279384, 3984654554579144925508436, 257706751376740858790916376, 13907946255387233079793179868, 599367614338807683330540671976, 19114678595791389688177572220892, 397030588105939686862303733490241], [1, 0, -67334, 0, 2239416710, 0, -47754986151696, 0, 717524594165588839, 0, -7786324466625578474256, 0, 59533643481971275112203910, 0, -291860778428307034837155525254, 0, 706732552679793116819634555191041]], 'euler_factors_factorization': [[[[1, 0, 2], 4]], [1], [[[1, 0, -68, 0, 1659, 0, 3038, 0, -780139, 0, 1898750, 0, 648046875, 0, -16601562500, 0, 152587890625], 1]], [[[1, -4, 92, -192, 5545, -9408, 220892, -470596, 5764801], 2]], [1], [[[1, 18, 580, 8688, 140149, 1468272, 16565380, 86882562, 815730721], 2]], [[[1, 0, -1114, 0, 676455, 0, -279227046, 0, 89888383729, 0, -23321322108966, 0, 4718785999751655, 0, -649041172273953754, 0, 48661191875666868481], 1]], [[[1, -36, 1445, -33174, 752019, -11975814, 188313845, -1693651716, 16983563041], 2]], [[[1, 0, -2890, 0, 3786654, 0, -3094240920, 0, 1853502417991, 0, -865895473293720, 0, 296536605658239774, 0, -63333264608538727690, 0, 6132610415680998648961], 1]], [[[1, 0, -2156, 0, 3375920, 0, -3473624244, 0, 3317362524974, 0, -2456828428920564, 0, 1688791870443299120, 0, -762824672590991252396, 0, 250246473680347348787521], 1]], [[[1, 44, 3555, 102146, 4826069, 98162306, 3283117155, 39050161964, 852891037441], 2]], [[[1, -54, 5132, -196512, 10208045, -269024928, 9618194252, -138549226086, 3512479453921], 2]], [[[1, 0, -2546, 0, 9721190, 0, -17784166584, 0, 41314150786079, 0, -50253804350570424, 0, 77622975288078773990, 0, -57446646304732309762226, 0, 63759030914653054346432641], 1]], [[[1, 110, 9636, 522720, 26258101, 966509280, 32943566436, 695349935390, 11688200277601], 2]], [[[1, 0, -13522, 0, 85478103, 0, -333215608734, 0, 881858112462505, 0, -1625985874842733854, 0, 2035343613836532919383, 0, -1571141234599202674974802, 0, 566977372488557307219621121], 1]], [[[1, 0, -15090, 0, 116674479, 0, -569860816310, 0, 1915316083011921, 0, -4496475943738545110, 0, 7264116941446840355919, 0, -7413096865233997673532690, 0, 3876269050118516845397872321], 1]], [[[1, 0, -12960, 0, 92791479, 0, -458032464230, 0, 1773271707430221, 0, -5550144718794497030, 0, 13624613467522162380759, 0, -23058398540384344010777760, 0, 21559177407076402401757871041], 1]], [[[1, 80, 14469, 831780, 80108611, 3095053380, 200335473429, 4121629948880, 191707312997281], 2]], [[[1, 138, 12475, 776898, 56429749, 3487495122, 251385234475, 12483256739322, 406067677556641], 2]], [[[1, 0, -26640, 0, 346358039, 0, -2907307265670, 0, 17242135660590621, 0, -73879564804188291270, 0, 223661926759607007022679, 0, -437153948210671208616180240, 0, 416997623116370028124580469121], 1]], [[[1, 244, 34422, 3565752, 292613950, 19001892408, 977524251702, 36925551214516, 806460091894081], 2]], [[[1, 184, 31250, 3320256, 307843859, 20721717696, 1217190031250, 44728091815864, 1517108809906561], 2]], [[[1, 0, -19194, 0, 120240750, 0, 162316729624, 0, -5418844315837401, 0, 7703279458166001304, 0, 270817307211572394120750, 0, -2051646808535861621928630234, 0, 5072820298953863752478356399681], 1]], [[[1, 0, -29790, 0, 475225134, 0, -5604148016720, 0, 51186285493106271, 0, -351616805464718269520, 0, 1870765942692671407303854, 0, -7357844122209159159641890590, 0, 15496731425178936435099327730561], 1]], [[[1, 416, 97197, 14986998, 1695571135, 141012664182, 8604780525357, 346516354050464, 7837433594376961], 2]], [[[1, 0, -29630, 0, 467576094, 0, -4709322841840, 0, 45707035194046031, 0, -490054023360329977840, 0, 5063179087792855098771294, 0, -33387825642810262823191385630, 0, 117257864492369852051862561201601], 1]], [[[1, 52, -1600, 845292, 142111694, 8967702828, -180081409600, 62090719419508, 12667700813876161], 2]], [[[1, 0, -20442, 0, 399146438, 0, -5112867228504, 0, 72337351135590255, 0, -670192596278280146904, 0, 6858078935007383466156038, 0, -46039300461537150669647730042, 0, 295216374856540727739668685278401], 1]], [[[1, 286, 65650, 10598434, 1280603054, 125919994354, 9267033269650, 479650631700526, 19925626416901921], 2]], [[[1, 0, -67334, 0, 2239416710, 0, -47754986151696, 0, 717524594165588839, 0, -7786324466625578474256, 0, 59533643481971275112203910, 0, -291860778428307034837155525254, 0, 706732552679793116819634555191041], 1]]], 'gamma_factors': [[], [0, 0, 0, 0, 0, 0, 0, 0]], 'group': 'GL2', 'index': 0, 'label': '16-2178e8-1.1-c2e8-0-0', 'leading_term': '0.0015493720623955223572298752723361867097959236043679295142003821183062743260542590136224597', 'load_key': 'CMFs-workshop', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2, 2, 2, 2, 2, 2, 2, 2], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/2178/3/c/p', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.00732421875', 'prec': 44}, 'plot_values': [0.0015493720623955222, 0.0014778075623174893, 0.0012780034269450934, 0.0009795115026218382, 0.0006297389990240054, 0.0002912766450548247, 3.8246730113329827e-05, -4.821296662591634e-05, 0.0001147898134760185, 0.0006058719175937902, 0.0014928935237250945, 0.002826419152481886, 0.004633231552747125, 0.006910120571924931, 0.009618188034234192, 0.012678005408474871, 0.015965956165196298, 0.01931148134966222, 0.02249575795595951, 0.02525210878541632, 0.02726821336553886, 0.028190257650012637, 0.027629049790704182, 0.0251682071957928, 0.02037483242402158, 0.012812280130919416, 0.0020550337422149843, -0.012294399533010002, -0.03058667026134814, -0.05310504956770564, -0.08004340477667511, -0.11148292440004794, -0.147367942652941, -0.1874812125229485, -0.2314190139100623, -0.2785665318291729, -0.3280739570561292, -0.3788336669524787, -0.4294590044893874, -0.47826526304368, -0.5232533120530953, -0.5620963691842404, -0.5921304176858789, -0.6103483379620347, -0.6133983309905695, -0.597587412075669, -0.5588900036201332, -0.4929619396851861, -0.39516011283760566, -0.2605678994267363, -0.08402535101707773, 0.1398349345620756, 0.4165447684792661, 0.751752276110636, 1.1511684888379443, 1.620508905655115, 2.1654306135498285, 2.7914691977891444, 3.503971259234067, 4.308019521771718, 5.2083579980503085, 6.209316086820021, 7.314732215461926, 8.527878600872848, 9.851397393937509, 11.287232176705345, 12.836558800379608, 14.49972045910168, 16.276169066509702, 18.164413774730424, 20.161978684366943, 22.265390641566373, 24.470151086518566, 26.770709724968597, 29.160470777869715, 31.63179001983057, 34.17598679370297, 36.783375562596824, 39.443349635960814, 42.14441912147105, 44.874249261712286, 47.61974027820886, 50.36713812546248, 53.10210844392411, 55.80984186946533, 58.475238508130616, 61.08299201692745, 63.61767910191171, 66.06388716435102, 68.40636046299687, 70.63018142288308, 72.72088796744269, 74.66469663824593, 76.44856682447917, 78.06028332246439, 79.48857573176141, 80.72323138709298, 81.7552212073318, 82.57689095277281, 83.18210898248466, 83.56621125023186, 83.72600879997484, 83.6598277019391, 83.36753494121155, 82.8505497919423, 82.1119077574406, 81.156438749873, 79.99051786625485, 78.62194037910072, 77.05985129532199, 75.31466185904712, 73.39795385334838, 71.3224232789175, 69.10189291991317, 66.75110404117733, 64.28546006778292, 61.720856592915595, 59.073533666969894, 56.35992662273784, 53.596568232925, 50.80001334650867, 47.98657762108266, 45.17222262381163, 42.372350805244395, 39.60166039795852, 36.874032510433686, 34.202473510127966, 31.599062955587076, 29.074773478677187, 26.63940891754088, 24.301589514055653, 22.06867291667709, 19.946728363766777, 17.94057089761823, 16.053790198892962, 14.288716955543222, 12.646464495531411, 11.126996019353076, 9.729209206235838, 8.450992097121604, 7.2893251974735085, 6.240378710697929, 5.299584048516583, 4.461741836481044, 3.721134008928593, 3.071637274429697, 2.50683589107299, 2.0201250444412526, 1.6048071913292319, 1.254177158644739, 0.9616129164388336, 0.7206581663002407, 0.52509515172479, 0.3690075223730734, 0.24683397727297698, 0.1534059298568717, 0.08397630191608413, 0.03424156368393428, 0.00035341756440598866, -0.021079338041946876, -0.03299790898971285, -0.03790859490638712, -0.037905283041451424, -0.03469705363307843, -0.02964017633109654, -0.02377379254714517, -0.01785800833401866, -0.01241318022438742, -0.007759291377844932, -0.004054191463883821, -0.001329859179365433, 0.00047401572389285847, 0.0014797557382955086, 0.001845308167994184, 0.0017421137953961131, 0.0013374104426994303, 0.000780994781192571, 0.0001962610142819088, -0.00032476158435628647, -0.0007228089665530484, -0.0009697100913834896, -0.0010642687993093014, -0.0010263875374900866, -0.0008901375529290449, -0.0006964799703696483, -0.00048631847686860186, -0.00029449998109912055, -0.00014528611958022892, -4.9706584775614184e-05, -5.066319629176736e-06, 3.282565583282509e-06, -2.0432402488854447e-06, 3.5829548097116937e-06, 3.9281048734513745e-05, 0.00011017813499852848, 0.00019870333590836812, 0.00025655444901759013, 0.00019834635404181926, -0.00010196739146390591, -0.0008107660397649059, -0.0021293902742791464, -0.004282637352037524, -0.0075001294361626974, -0.011989697899970276, -0.017902135054280253, -0.025286905245340857, -0.034038692183829836, -0.0438349907743985, -0.05406531366503707, -0.06375302428574824, -0.07147131156369385, -0.07525467988613598, -0.07250835004484478, -0.05991816505511994, -0.03336389312740872, 0.012160829313415581, 0.08261844500828075, 0.18498384654648134, 0.32728331697750435, 0.5186128333136519, 0.7691313712064, 1.090025757175502, 1.4934439133830697, 1.9923951451631883, 2.6006175540968752, 3.3324048690744634, 4.202399507400585, 5.225342772175504, 6.4157872750159, 7.787773948663996, 9.35448620597742, 11.12788887449105, 13.118314765954278, 15.334048451346701, 17.780924901691947, 20.461885038113085, 23.376541283159497, 26.520805250597782, 29.886564481889252, 33.461290423439365, 37.227726657057296, 41.16366190809004, 45.24183236672777, 49.429758638837264, 53.68980959242843, 57.97938125235896, 62.25092396335851, 66.45217725857542, 70.52651777412264, 74.41345980907205, 78.04938164732881, 81.36830617447063, 84.3027519044486, 86.78429001440149, 88.7444155798396, 90.1155041541087, 90.83182187569548, 90.83066125392806, 90.05406225260874, 88.44978460733664, 85.97184257175658, 82.58147050750709, 78.24806216863259, 72.95004293279037, 66.67568969324311, 59.424470785067705, 51.207679559050604, 42.04803775717845, 31.979823351032685, 21.048925587012317, 9.312739581769074, -3.160057047902588, -16.289298945954442, -29.984191586011324, -44.14484451392904, -58.663360498498214, -73.42496535739929, -88.30926345709324, -103.19154865568431, -117.94374655206839, -132.4362995378649, -146.54032631709455, -160.12975616392544, -173.0827129255854, -185.28296596686482, -196.6213882997455, -206.99712067735365, -216.31920381721417, -224.50797715743622, -231.49631722253423, -237.23120110505116, -241.67376816366695, -244.79951129854035, -246.5985051720628, -247.07553550928083, -246.24989188066425, -244.15490842958837, -240.8375473581866, -236.35825985380978, -230.789232981494, -224.21313058942118, -216.72165838644426, -208.41400940791502, -199.39529708269643, -189.77494066241502, -179.66521468107553, -169.18016657656244, -158.43356362046768, -147.53691143632864, -136.59787460097587, -125.71890558778681, -114.99601371557182, -104.51769041678368, -94.36415968834054, -84.60702387659684, -75.30808973895559, -66.51884519676977, -58.280312520336, -50.623091857303024, -43.56758508824022, -37.12442396142229, -31.29510076510027, -26.07256791548812, -21.441853397958504, -17.380933641586193, -13.861719397312822, -10.851086851175214, -8.311944979942297, -6.204294086275709, -4.486204081181081, -3.114800289931737, -2.047165780035257, -1.2411925243960757, -0.6563439837987505, -0.25431395443679305, 0.0004334413616562351, 0.14024958376574054, 0.19399359566743463, 0.18684187172791533, 0.14020926131812658, 0.07177576721736677, -0.00438998085482611, -0.07762206296691311, -0.14037831366852885, -0.18790549333590562, -0.21786280874133934, -0.22991923642344805, -0.2253385672940663, -0.20656778372407128, -0.17684238739276048, -0.13982064714731834, -0.09925579680635947, -0.058714554064463256, -0.021347890685976152, 0.010282212417653069, 0.03431864887107722, 0.049668061613526965, 0.056005754940381236, 0.05373243046733928, 0.043888620502780126, 0.028034427631762143, 0.008102804971519375, -0.013765094980681371, -0.035389739385867494, -0.05472056145091723, -0.06999227199157315, -0.07986210474063607, -0.08352112925028995, -0.08077409586655976, -0.07208427639375771, -0.058580017704682484, -0.0420201640581927, -0.024724443262149794, -0.009470570560231999, 0.0006380499983755737, 0.00232834309956962, -0.007669535371967014, -0.032440427616548896, -0.07470302204831453, -0.13663778002109778, -0.21973086072666945, -0.32464156866015004, -0.4511002209647786, -0.5978440546587542, -0.7625928053021381, -0.9420694079223529, -1.1320776992775312, -1.327607669137665, -1.522981292761023, -1.712037401887143, -1.8883531469230295, -2.045480204520059, -2.1771930307938927, -2.277755581605685, -2.3422081054757133, -2.3665824560506548, -2.3481055166996994, -2.2853846724182993, -2.1785354749922754, -2.0292623025782173, -1.8408907956395846, -1.6183558372059264, -1.368152799474372, -1.0981561662737964, -0.8174094809862531, -0.5358678322554432, -0.26410358484560537, -0.012981649863097413, 0.20668891627727232, 0.3845083023157307, 0.5108296821507669, 0.5771440172945895, 0.5764118719552768, 0.5033470575423856, 0.3546534083023056, 0.12920543862713557, -0.17183450104810982, -0.5449762068468037, -0.9844585142690981, -1.4823433365325742, -2.028691453777192, -2.6118117889556904, -3.2185708865184797, -3.8347540048500024, -4.445475052483675, -5.035649243536069, -5.590487748985008, -6.095908609874172, -6.5389536641021895, -6.908188642780001, -7.194060081131009, -7.389213618731126, -7.488762739220317, -7.490439205543083, -7.394727079930679, -7.204783040982126, -6.926312658929486, -6.5673872906623485, -6.13820368151128, -5.650776094324342, -5.118509800548894, -4.555777683301678, -3.9774912190377965, -3.3985560485649713, -2.8333773391751778, -2.2954136647762557, -1.796756953378906, -1.3477359476618473, -0.9566062666077464, -0.6293201644628259, -0.36937594847524596, -0.17773514963654996, -0.0528536717791012, 0.009197372346396287, 0.01452705777958235, -0.02886329376410744, -0.11143438903687355, -0.22251612673145782, -0.3507559263160441, -0.48459303496767564, -0.6127354772445273, -0.7246221020017165, -0.8108503089925819, -0.8635535579398389, -0.8767142848533352, -0.8464051761763497, -0.7709592235022139, -0.6510170843982106, -0.4894783150440492, -0.29136125498160204, -0.06357220137725848, 0.18540752836357452, 0.44590478934318617, 0.7074892017156493, 0.9594392395194474, 1.1912611574726042, 1.3931928735275219, 1.5566785268562164, 1.6747989933991696, 1.7426393599644083, 1.7575783189633245, 1.7194781323171704, 1.6307679864300189, 1.4964191664908666, 1.3237960589075104, 1.1223895607347008, 0.9034402961118843, 0.6794612325625392, 0.46367545342655214, 0.26939076267123296, 0.10933041621454491, -0.005059620555619022, -0.06429332605668907, -0.06149153124313847, 0.007034004778110194, 0.14128986045790506, 0.33722082154865657, 0.5864598750902345, 0.8762260521768858, 1.1893871901426765, 1.504691143244197, 1.7971758181621225, 2.038730187659812, 2.1988016100961563, 2.2452412066625516, 2.145264455338517, 1.866500954963432, 1.3780880813985354, 0.651788711663673, -0.33692888900458695, -1.60785611194507, -3.1750897009708288, -5.046196479904965, -7.221536907021754, -9.693819255943646, -12.447888270656037, -15.460660945239248, -18.70128109045471, -22.13151104645196, -25.70634529887602, -29.37483551594619, -33.08120989344241, -36.76643936782341, -40.3693961774777, -43.82818994218491, -47.08163960220807, -50.070760901530264, -52.74022857083041, -55.039869945955175, -56.92629082812586, -58.36409455766997, -59.32647663228287, -59.79581714756873, -59.76413405525388, -59.23329159850791, -58.215074114364526, -56.731063745748685, -54.811898911146336, -52.49673339235003, -49.83184105956623, -46.86929433048649, -43.66562570585835, -40.28048076439118, -36.77518600045436, -33.21101500028188, -29.647757471535325, -26.14248565182067, -22.74795854740399, -19.511403629604438, -16.473602862660073, -13.668143635146139, -11.120812286621064, -8.84931523911465, -6.863267660189074, -5.164422512020866, -3.7469620282215805, -2.598105017693312, -1.6989112228520873, -1.0252286824199934, -0.5487660296065139, -0.23823601797993077, -0.060533648608060854, 0.018092329303930246, 0.030914568684982727, 0.009659655210920852, -0.01645252540773475, -0.021533150542717365, 0.01630721482553485, 0.11446017469419913, 0.2854990778528665, 0.5370500216928803, 0.8718480826892684, 1.287948756719094, 1.7790947752356017, 2.335214612728364, 2.9430285513916608, 3.5867382390201503, 4.248815797658543, 4.910801818170015, 5.554040104940204, 6.160403780228395, 6.712966038160669, 7.1965922206410795, 7.598441111697713, 7.908421816136491, 8.11945967143586, 8.227610029293306, 8.23205624857973, 8.13500378047459, 7.9414766912588135, 7.659029004424701, 7.297430324894215, 6.868200910924264, 6.384103567075664, 5.858672239196824, 5.305703273705508, 4.738784177461146, 4.170870468273404, 3.6139316221245195, 3.078609678152798, 2.573960154567843, 2.10729103325147, 1.6840796870987917, 1.3079525690876654, 0.9807434346507806, 0.7026156213924453, 0.47223179108748625, 0.28697158912517456, 0.1431802220481395, 0.03643252296356101, -0.03820016932930571, -0.08589238446825342, -0.11182746429540472, -0.12098201733916089, -0.11794751603805048, -0.10679388283878088, -0.09097577828687702, -0.07328161305789782, -0.055823537768675796, -0.040065162806666034, -0.026878796961217016, -0.01662920142216385, -0.009275174263353942, -0.004480560509235434, -0.0017269517058610669, -0.00042081441409115014, 1.1381225509344678e-05, 4.53815258994098e-05, 2.602060825119786e-06, 1.7016167352891955e-05, 2.6112738832608717e-05, -0.00021497680496611028, -0.0010985174301411855, -0.003112109665296894, -0.006774910411604726, -0.012567204306644836, -0.020858849669482288, -0.031842340422891816, -0.04547575678912229, -0.06144047627382915, -0.07911769754490695, -0.09758707349731688, -0.11565392871054304, -0.13189049585138646, -0.14469732275530436, -0.1523828947608939, -0.15325687172440075, -0.145731344583713, -0.1284222276965791, -0.10025301571070214, -0.060561678409279784, -0.009162952684651048, 0.05360434050836624, 0.12685049493543443, 0.20913666605196898, 0.29850386187778905, 0.3925288975662932, 0.48840073108982496, 0.5830104920079725, 0.6730961675218838, 0.7553895268461929, 0.8267619177107788, 0.8843641289563985, 0.9257598417248414, 0.949044468436229, 0.9529407184334239, 0.936866301915724, 0.9009844842596876, 0.846207535050872, 0.7741676938900854, 0.6871552253431414, 0.5880261120867697, 0.4800834866602337, 0.36693740190276597, 0.25233573272528004, 0.13999592222558851, 0.033456738395810454, -0.06407138355548132, -0.14984008143432223, -0.22167385876361853, -0.2780537820482058, -0.31818814175600285, -0.3420238507006036, -0.3502026754220449, -0.3440021431412056, -0.3252471556410099, -0.2961963635995131, -0.25941037771904396, -0.2176175902499956, -0.17355320032413368, -0.12980115684612373, -0.08866106264636629, -0.052036702317566345, -0.021351389938049234, 0.002505533393411545, 0.019198870041937512, 0.028936291366387097, 0.03241795893272302, 0.030752954333346953, 0.025349746490399252, 0.017787950573823867, 0.009679802078941167, 0.0025308934199174747, -0.0023953101697175225, -0.004195660544735328, -0.002418312635919642, 0.0028793948872041326, 0.01111173441079151, 0.02118709301656801, 0.03157239659951994, 0.040399661064293824, 0.04561023701671553, 0.04512866672226785, 0.037057057695833645, 0.019878917974368564, -0.0073403290656921865, -0.04476864929497426, -0.0916513445182283, -0.1461969799152274, -0.2055157163772914, -0.2656183656341028, -0.32148235589397894, -0.3671890813117335, -0.3961317881115872, -0.4012815330052632, -0.37550678726578013, -0.3119355780184583, -0.20434404778789603, -0.047553816535878854, 0.16217895850140696, 0.42680420670320834, 0.7461897415470378, 1.1178988178550389, 1.5370527781883203, 1.9962947771510284, 2.485864022783292, 2.9937909275256613, 3.50622982457037, 4.007896448479523, 4.482576289113256, 4.913714026505392, 5.285062450477856, 5.581362400680672, 5.789055000642772, 5.8969991203397925, 5.897019988925205, 5.784415014548557, 5.558310406729994, 5.221889842488564, 4.782473192059224, 4.251476269358872, 3.644199984216634, 2.9792815634388172, 2.2780727605303555, 1.5638939309636666, 0.8611645717742296, 0.19446479475819584, -0.41240616729302015, -0.9374086739722259, -1.3612980055124497, -1.6684916922768547, -1.8477997544886993, -1.892985339733512, -1.8031387913042354, -1.5828345468936742, -1.2420828092156142, -0.7960537361782601, -0.26454476612127686, 0.32876324940060875, 0.957243166534626, 1.5924272532870343, 2.205151852361762, 2.7667774733163046, 3.2504252613245663, 3.632160553973417, 3.892072149866368, 4.015198839856949, 3.9922597074180826, 3.820136239477257, 3.5020634421088697, 3.0475590808980493, 2.472093374276518, 1.7964964026754358, 1.0461240974613581, 0.2498150589943785, -0.5613566867137313, -1.3555517834846154, -2.101492997150103, -2.769791937948754, -3.334227999056425, -3.7728968836378924, -4.069179099697658, -4.212519525723382, -4.198946610784409, -4.031306025186136, -3.7189601215736956, -3.27728629525534, -2.726943883890898, -2.0929055909905014, -1.4033310432831605, -0.6882218933097377, 0.02202250660831244, 0.6980691237587638, 1.313077495126525, 1.843936164603384, 2.2722987403943082, 2.5853722750450254, 2.776462703790425, 2.845200061332004, 2.7974464748386882, 2.6449194400966047, 2.4043924416827642, 2.0966643218440844, 1.7453444541248309, 1.375488511447045, 1.012159403477205, 0.6789940851972521, 0.3968553699175179, 0.1826342056260219, 0.04825239419272684, -1.7654326153913807e-05, 0.03810538297856667, 0.15692967785908568, 0.3451708654895658, 0.5866809775493212, 0.8614957150007464, 1.1471640387197566, 1.420278192465839, 1.65810030186377, 1.8401977962499418, 1.9499921235166537, 1.976121941640689, 1.9135286034790229, 1.7641971192005221, 1.5374960827459159, 1.2499346356065195, 0.9244411900908351, 0.5891644039204149, 0.2758170206551294, 0.017625382252868596, -0.15302437976614064, -0.2071390853273124, -0.12176231182862142, 0.11750337665911359, 0.5142535580532381, 1.0594587924616448, 1.73021141577347, 2.489177770365857, 3.284871531973947, 4.052833285478387, 4.7177776017416155, 5.196704958943081, 5.402909196046741, 5.250801863298376, 4.661424949290832, 3.568464786668839, 1.9245305541456206, -0.2925213165624314, -3.0735100492570626, -6.372435573119775, -10.101783804990585, -14.128937481363723, -18.27395837697651, -22.308923672473224, -25.95903143346355, -28.90568002044288, -30.791670298216765, -31.22790891462546, -29.801926968362885, -26.08799461603373, -19.658867699908473, -10.098710126417352, 2.983120081383947, 19.93785217274878, 41.06359719486707, 66.59328410415382, 96.68339140951808, 131.40240224351263, 170.7215811463764, 214.50790028360683, 262.5193803973391, 314.4041716554055, 369.7088883085475, 427.8839185650405, 488.287444639356, 550.1951926343357, 612.812828179907, 675.2905944948276, 736.7402256925195, 796.2624684654998, 852.9758786565717, 906.025189162006, 954.5974200916733, 997.9396218131509, 1035.3754404746257, 1066.3207542561565, 1090.3061926019857, 1106.989108996337, 1116.1639843075045, 1117.7555915442947, 1111.815616203298, 1098.5198102241543, 1078.163304289404, 1051.1617854922686, 1018.0356857956007, 979.3929918337532, 935.9227440769515, 888.3675863853302, 837.5032585045358, 784.1223334701391, 729.0240161792957, 672.9922539487541, 616.7760262090577, 561.0779883275394, 506.54741960442186, 453.76355586394794, 403.2274449281944, 355.360834318938, 310.5001288349219, 268.8946835295808, 230.70961892608312, 196.0311240839454, 164.87386587055403, 137.18585676687815, 112.85749270319506, 91.72932182306195, 73.60144912523756, 58.243656407016914, 45.405134697591166, 34.823685033446424, 26.234166193097902, 19.37531301139166, 13.99550669650425, 9.857926652157893, 6.744578752277245, 4.459079543457774, 2.828277353222976, 1.702835211066754, 0.9568900240473348, 0.48689804849655133, 0.20998098707943796, 0.06183355320990333, -0.005664257502642015, -0.026974372422536474, -0.025430105252230696, -0.015652512664354582, -0.0057606301822366165, 0.0006873314176562461, 0.003061776825505088, 0.0023578876694001767, 0.0002176832235303084, -0.0017429447824242692, -0.002337420969212418, -0.0009872731172919542, 0.0022723657687695764, 0.0069080610336461675, 0.012073401687207701, 0.016818870476359712, 0.02028866944747111, 0.021876175465819603, 0.021319700150029642, 0.01873143583901836, 0.014561551412372696, 0.009507829588883318, 0.004387373866975702, -8.943932094240029e-06, -0.0030568918708059676, -0.004412121960876149, -0.004077258329790575, -0.0024087524063582592, -5.5500648695125435e-05, 0.002171475308880358, 0.003492118530225196, 0.003400182910874085, 0.001936490700293731, -3.1145529754941114e-05, -0.0005483483266494817, 0.003637149033317846, 0.017214442174362434, 0.04635459432387198, 0.09864398637487705, 0.18289507537882196, 0.30883118739215215, 0.4866504937175451, 0.7264829981851323, 1.0377770679610074, 1.428702466724119, 1.9054993894547732, 2.471837033205877, 3.128246736948702, 3.8716563831097095, 4.695060850224213, 5.587361454411752, 6.533521210549561, 7.5151091450272665, 8.51062100272758, 9.496052516015594, 10.445685205665512, 11.333001230166376, 12.13169899443961, 12.816870766685385, 13.366193729575864, 13.761289441637384, 13.988210349511554, 14.037966040962344, 13.90698484559595, 13.59737032677135, 13.11703751922457, 12.479402244296107, 11.702932523865012, 10.810792991732818, 9.829434856183672, 8.787376502434135, 7.714062426716278, 6.638751136072083, 5.589283635679387, 4.590967733677597, 3.6657154871551674, 2.831397560641689, 2.1010307697373993, 1.4824488512594516, 0.978308215414031, 0.5863080727213144, 0.29966871937074063, 0.10782057765124976, -0.002750065035979305, -0.04756307867849302, -0.04316709605151966, -0.006114737638521795, 0.04800752386575741, 0.10542757604112131, 0.15486675727060006, 0.18801677881469817, 0.1997924356086405, 0.1883554934757718, 0.1549236361577329, 0.10335207718294107, 0.039532304415263, -0.029343121321482837, -0.09559750019383151, -0.1519108316624503, -0.19212598241211815, -0.21196741247946155, -0.20961397903092482, -0.18607466370278755, -0.1453372761970506, -0.09427196860325954, -0.04228640729692852, -0.0007451072894562324, 0.01781917779352735, 0.0006632328181966476, -0.06408866667807216, -0.18632267031695504, -0.37283719783350433, -0.6263393392305581, -0.9446067720714094, -1.3198829570901713, -1.7385495770963182, -2.181113824543366, -2.6225436997229923, -3.032949979823839, -3.3785990868461173, -3.623229885632201, -3.7296237103681324, -3.6613352620674426, -3.3845314223602863, -2.869843406219518, -2.094089532732041, -1.0418369221400048, 0.293299741150626, 1.9077009927909536, 3.787164137635445, 5.906774172513922, 8.231265768564365, 10.715946117693177, 13.307975065943799, 15.948048969724995, 18.57239326332683, 21.11493740910886, 23.509695207245315, 25.69320822631506, 27.607034278238903, 29.200298129388266, 30.43138933953669, 31.269352448892306, 31.695000380378094, 31.701586174510133, 31.294981968136288, 30.493356140499507, 29.32647282021471, 27.834533958882417, 26.065960447814643, 24.075440045252634, 21.921770139989288, 19.6655868151166, 17.36708747058947, 15.083828988040993, 12.868502554485518, 10.767396423807137, 8.81904938291533, 7.053279503542473, 5.490701048468728, 4.142662344130964, 3.0115751720728428, 2.0914576467864063, 1.36917936115126, 0.8259800771300638, 0.43888832444530035, 0.18229564216460603, 0.029544156179815338, -0.04557215158331601, -0.06747499418188162, -0.0575829766424402, -0.03343601651139233, -0.00817350762872583, 0.00969073642999948, 0.016191601873217824, 0.011557176699022956, -0.0003910407099137454, -0.013059522911490441, -0.01803378398925581, -0.006079032216128794, 0.03186646452166801, 0.10376395719989277, 0.21566796292683207, 0.3710489368279699, 0.5703828585644632, 0.8109931389800378, 1.0871109296727295, 1.390153375054481, 1.7091960281933412, 2.0316081088026374, 2.3437826814767386, 2.632010799381856, 2.8833348216864443, 3.086327168590405, 3.2317654462006264, 3.313166720381018, 3.327160986363845, 3.273674106369309, 3.1558914826306697, 2.980003685616515, 2.754772914744105, 2.490953715396438, 2.200609257936411, 1.8963793794020904, 1.5907546298767856, 1.2953256069110932, 1.0201404674228984, 0.7732039412590468, 0.5601382368496624, 0.3840240368822707, 0.24542866110738867, 0.1426110739496153, 0.07187598261727106, 0.028063434949567936, 0.0051301601685759275, -0.0032293045469750396, -0.0029734669404526196, 0.0008325526955801916, 0.004454002654353405, 0.00577484248440059, 0.004407573138854795, 0.0016072125920052675, -1.296545291199252e-05, 0.0030486809759774766, 0.014554083918445098, 0.03778042398710702, 0.07470961878424909, 0.12521264776436208, 0.18629464556519648, 0.25146365179894753, 0.310285148154652, 0.3481790776815755, 0.3464970641830346, 0.282896456020377, 0.13203120149752523, -0.13345544884562577, -0.5416821194552964, -1.1200539132062957, -1.8936423337365629, -2.8835201041969865, -4.105090273461489, -5.566520800562019, -7.267381575276952, -9.197614848657512, -11.337013584668655, -13.65506218809428, -16.111272756713227, -18.655836325056196, -21.230834805421793, -23.771919947943303, -26.210403005522497, -28.475804753363896, -30.49916184755208, -32.215558450456626, -33.56642237247598, -34.5020243048903, -34.98374375637074, -34.98597896338514, -34.497616054678225, -33.52326938414066, -32.0836995311959, -30.214628872155586, -27.96553436323627, -25.39803322381705, -22.583770877337503, -19.601882489954143, -16.535983411949626, -13.470924667445486, -10.489732398915054, -7.670320148664749, -5.082677771136801, -2.7864733294235364, -0.8290520390219098, 0.7564162846452225, 1.951697024204819, 2.7534166875341572, 3.172647194961146, 3.233848275208759, 2.973274913163771, 2.437009620256199, 1.678872800771134, 0.7575380249680017, -0.26637071302452714, -1.3329186447472376, -2.385371092507229, -3.372429476096145, -4.250071071360006, -4.9830337227011166, -5.545887406988048, -5.923449249644636, -6.110666827071444, -6.1120630807813745, -5.940816493104829, -5.6173965244416015, -5.168105331606067, -4.623197709922378, -4.014951743164464, -3.3758498623082724, -2.7368986070237598, -2.126168390144693, -1.567624277596755, -1.0802485212677084, -0.6773726639602932, -0.3664552583405997, -0.14923746327721085, -0.022202318439225637, 0.022712894392919753, -0.002787215848683659, -0.084373715649206, -0.20617931852431742, -0.35189990305950275, -0.505820960840409, -0.6537107342608214, -0.7835373236575035, -0.885977754706009, -0.9547084186288578, -0.9865026591782382, -0.9811003811054084, -0.9408935960988056, -0.8704680203195372, -0.776042356192703, -0.6648522214106294, -0.5445257877752159, -0.4224949922368079, -0.3054815885123598, -0.19908358630748232, -0.10748927474486815, -0.03332834278221363, 0.02234100450555036, 0.059919629359471656, 0.08104840643421182, 0.08830924001300731, 0.08487761818229135, 0.07416102510447437, 0.0594565003094788, 0.04365568022153297, 0.029021769581685165, 0.017056505007713166, 0.0084656416774367, 0.003223058730120685, 0.000725141216741491, 1.88049672168682e-05, 7.895093270503188e-05, 0.00010816437510493873, -0.00017166346119425812, -0.00026576022687900883, 0.0012812593291773482, 0.006983813835875576, 0.020409108417522775, 0.046059320133938764, 0.08914422515907114, 0.1552519996304988, 0.2499355528368827, 0.3782389984551098, 0.5441948826988827, 0.7503364529134299, 0.9973116911627526, 1.2835546190088498, 1.6050365279250811, 1.955163607570144, 2.3248247307039525, 2.702597217977048, 3.0751146710244304, 3.4277099034241973, 3.7452088135495676, 4.012519241594699, 4.2153473175702025, 4.340944535759638, 4.37881592319636, 4.321361621025092, 4.164565297502383, 3.9083595040792565, 3.556725090653596, 3.1174890735845104, 2.602023811422994, 2.024809659341186, 1.4028602252140963, 0.755157532214473, 0.1017266783975272, -0.5373714533423405, -1.1429663921849815, -1.6976464977550652, -2.1864694566746694, -2.597520585996139, -2.9222643690814283, -3.1558689657990984, -3.2972965867796145, -3.3491715360873284, -3.3175322229448874, -3.2112613749472145, -3.0414397054186733, -2.8206600876664245, -2.5623292132636752, -2.279954869531516, -1.9864792815138144, -1.6937168005851897, -1.4119211686784403, -1.1493914177129232, -0.9122816732222077, -0.7045609200054548, -0.5281097836199119, -0.3829370347428406, -0.2674857650053228, -0.17899997718269034, -0.11391675151132634, -0.06824221799630648, -0.0379050604858113, -0.019057484616482743, -0.00830184849218136, -0.0028338293263110805, -0.0005022625321234178, 0.00020631738906160132, 0.0002438323427193227, 0.00011794315225406822, 2.8513394348267528e-05, 1.4213752418867706e-06, 3.163558872481439e-08, -1.5863925702881728e-07, 1.9212311040302182e-05, 0.00010800812322146556, 0.0003056217350339223, 0.000589430961632054, 0.0008431731073699367, 0.000881102464134667, 0.0005672228698125796, 6.866395777355849e-05, 0.0002779092424613202, 0.0034300139903532994, 0.01392833413702201, 0.03937581668201276, 0.09178935819307084, 0.18895324975103642, 0.3558472622686151, 0.6260677326557621, 1.0431335656734027, 1.6615672951936995, 2.54765607095899, 3.7797229608186687, 5.447801651358652, 7.65266310236098, 10.50414517478852, 14.118581959783969, 18.61541877196067, 24.113143171529796, 30.72492677768845, 38.55320981642077, 47.68426093346478, 58.182837183560075, 70.08617243803577, 83.39846891539952, 98.08596401119559, 114.07339699431724, 131.24334376878593, 149.43531949674943, 168.44664464899034, 188.03296104640265, 207.91140790426084, 227.76550642336565, 247.25160124610022, 266.00826753289516, 283.6735522807566, 299.89300171482876, 314.3256348380828, 326.6538355031546, 336.5931369747719, 343.9013874997094, 348.38720102718963, 349.9234453690837, 348.4578250398715, 344.00536538756427, 336.6463886323425, 326.524541502158, 313.8428827433543, 298.85847801462563, 281.87935805660175, 263.25505754560265, 243.36590362489238, 222.60605728611876, 201.37055601277643, 180.0443614764296, 158.9924117730137, 138.55295616899483, 119.02732705901896, 100.67193447836686, 83.69489665517133, 68.25090146392354, 54.44040903847548, 42.311607748670696, 31.8646843025085, 23.055495208549353, 15.801077668220076, 9.986907004081766, 5.474530777195626, 2.108969294212816, -0.27354372912113495, -1.8382546761674408, -2.745738027130444, -3.1465097516636593, -3.1767110118040445, -2.9550833992316514, -2.5812295034054227, -2.134935621009361, -1.6766237847060885, -1.2487059110291567, -0.8776486229155331, -0.5765439392561194, -0.34794856121400064, -0.18677304220465238, -0.08302365022817661, -0.024233742685322003, 0.002515726544001463, 0.009060309045127758, 0.005136979398231785, -0.0021270234254711835, -0.008280049670649532, -0.011255822900647533, -0.010836901642948357, -0.007990544941265137, -0.004191639829015722, -0.0008362838853404663, 0.001173352171888296, 0.0016228497343630304, 0.0009430818112588347, -4.7020886888982346e-05, -0.000556072678354416, -0.00030789208396300954, 6.323316313263282e-06, -0.0015688978430447034, -0.008274649700443113, -0.024275297265833915, -0.05382905080463917, -0.09994439339321466, -0.16252283373341972, -0.23602736437482932, -0.3067744698042891, -0.35000068477286445, -0.32690280023291274, -0.18188435579328643, 0.15974070674465216, 0.793319099256563, 1.8355272576361958, 3.423856221276594, 5.714704422489832, 8.880010390679978, 13.102425193830049, 18.5688971255918, 25.462849370424976, 33.955473315798955, 44.19737936903847, 56.30854714330929, 70.36869924934015, 86.40860431854448, 104.40145301124952, 124.25586345211349, 145.81075347484727, 168.83396144098853, 193.02799850946045, 218.0324733503739, 243.43005889842414, 268.75355754586826, 293.4966465163498, 317.12693129771907, 339.1008326959099, 358.8832043915294, 375.978508542028, 389.9408372472312, 400.38316338944526, 406.99071867699365, 409.5325745083983, 407.8707987419153, 401.9669942288118, 391.8928040181029, 377.8397377181181, 360.09866411464674, 339.0470032738561, 315.1371507002435, 288.88259737066636, 260.84242136934074, 231.60643598129636, 201.77811203115354, 171.96010122858118, 142.72702260417196, 114.60706228733855, 88.06860557018425, 63.50953878709514, 41.24967284489296, 21.524828009774033, 4.4853509512378755, -9.801439985298959, -21.35026527828021, -30.251074133060087, -36.65925076611391, -40.78463974818792, -42.87909255776415, -43.223262427061876, -42.11378169462814, -39.851454845819354, -36.729974720461676, -33.02594162853545, -28.990951159101375, -24.845156255888142, -20.773039200329336, -16.92142200789268, -13.399457556158211, -10.280356552677299, -7.604136728741685, -5.3817348010706, -3.5998550378805887, -2.2263220815237634, -1.215545699080535, -0.5137532763723855, -0.0637340982831347, 0.19110494560732405, 0.30347609925504293, 0.31981201959246697, 0.2787527125499531, 0.2104712965092252, 0.13673795855424492, 0.07158599815908377, 0.022422629848413676, -0.008583200163321243, -0.022998694875285202, -0.024651640401161103, -0.018311433544545428, -0.008619696216646057, 0.0006726805880836668, 0.007140808302887876, 0.009805185621127402, 0.008976018822981602, 0.005887942341206969, 0.0022039344028272245, -0.0005266403279141318, -0.0013734830834731284, -0.0004218488235740703, 0.0009959118611101397, 0.0002671582165689084, -0.006326094784507692, -0.023239489339130944, -0.05514218391396339, -0.10629003560785037, -0.17986606506522881, -0.27736640566480564, -0.3980915942312152, -0.5388186446189845, -0.6937236657087639, -0.8545380860792566, -1.01096440793879, -1.1513528641174458, -1.2635815853576593, -1.3360391131957616, -1.3586836593304485, -1.3240980154697712, -1.228454045881681, -1.0721462394523666, -0.8601628591820656, -0.6021069612463809, -0.3118493892114007, -0.006827204142474253, 0.29300253332166687, 0.5665134887196634, 0.7930396578596658, 0.9541123727559189, 1.0351049010459235, 1.0266557188843748, 0.9258491855974726, 0.7370257455015077, 0.47213509112058605, 0.1506027861899458, -0.20132406150243579, -0.5520431419538602, -0.8664594459263449, -1.108162994278679, -1.2418547908291118, -1.2358794043757053, -1.0647094628587768, -0.7112558506467227, -0.16884131090258556, 0.5574921003753045, 1.450368169463908, 2.480187094384349, 3.6059953768047017, 4.777105712426661, 5.935543184154929, 7.018987888751661, 7.963894444325709, 8.709199555433436, 9.199965428183614, 9.390771838578965, 9.248723021907185, 8.756099856918063, 7.9119014166996635, 6.732341423710872, 5.250560985538948, 3.515472784375509, 1.5896260819182297, -0.45373711069443046, -2.5342128048721717, -4.568480915605591, -6.4747124020918, -8.176837654772331, -9.60852994014759, -10.716688635333172, -11.464213607478667, -11.831977781467934, -11.819678469103092, -11.445587138175126, -10.745285541966274, -9.76943146562815, -8.580676615653273, -7.249975695548824, -5.852479695209137, -4.463135477269843, -3.152415528886108, -1.9824101430457586, -1.0034802099946027, -0.2516490005425275, 0.2531131454740469, 0.5074844112891612, 0.5243981567413555, 0.331700920280991, -0.030063457933900604, -0.5105995322654294, -1.0533475302034063, -1.599331204940151, -2.0911986620972027, -2.4768518058483666, -2.7126595264202322, -2.766102495135622, -2.6176720502279327, -2.261918351536697, -1.7076123807257972, -0.9769836023091143, -0.103971359359084, 0.8682123263377335, 1.8899713468667707, 2.9085349346853153, 3.8712975195569452, 4.7291324517802025, 5.439486195383875, 5.968801861060685, 6.294432193025674, 6.405650554598126, 6.303909706625518, 6.002360689368953, 5.524708075335902, 4.903394489866481, 4.177117128244568, 3.388196340158226, 2.5798429086453525, 1.793373017193796, 1.0657441077875833, 0.4274894266845361, -0.09885653328611277, -0.4996412552655695, -0.7703185958358041, -0.9150505613528187, -0.9457349780765932, -0.8805257316193092, -0.7420190068226844, -0.5551894516551386, -0.3452353568148573, -0.13560678299150927, 0.053691971124516034, 0.20742253445600242, 0.31598048773863663, 0.3756856647651779, 0.3885340638744727, 0.36141243222674985, 0.3048860962829339, 0.23166988031163854, 0.15491261525468944, 0.0864426831519041, 0.03511796614093802, 0.0053958881162715615, -0.0036826985295994995, 0.0009900116284089248, 0.006611398099291927, -0.004954717659817368, -0.05607202466091736, -0.17175728734210843, -0.3777333359607713, -0.6982707219724158, -1.1539768748019628, -1.7596924194532533, -2.5226541944604355, -3.4410717771053325, -4.503278861081048, -5.6875343397022675, -6.9625086079621985, -8.288415287594633, -9.61874961499458, -10.902550761657794, -12.087069154926716, -13.120829425748582, -13.956589713648516, -14.554098316851974, -14.882712884605855, -14.923220790846853, -14.669090307005243, -14.127065341032978, -13.31710494933258, -12.271290019262489, -11.032023756104428, -9.649765082038028, -8.180334583127262, -6.681647444087744, -5.2105052471728355, -3.8195992904256517, -2.554589824458395, -1.4517405226768705, -0.5362580870977415, 0.17863318888207502, 0.6918487125691042, 1.0138514853287397, 1.1653882140054617, 1.1750194733505666, 1.0764479927058288, 0.9057405131305861, 0.69846628224185, 0.48693643381046187, 0.2977124642036108, 0.1495561429106723, 0.05192567279789655, 0.004042799327697501, -0.00516423326888224, 0.0038380520931807294, 0.0030126633515253015, -0.04063943450094725, -0.16230391835636943, -0.39710542272730104, -0.7784382088681044, -1.3369120397035343, -2.09991199552023], 'positive_zeros': ['0.04566420790236971380810442024638', '0.05506289627161269643113012727650', '0.19160752017849825094048731147960', '0.36915617950077033922252468342324', '1.15732236129296954273132499481217', '1.25014063726346557868106862667832', '1.29899028572637804239655965629938', '1.38629580543496586929083664326547', '1.39612927704006802087975610449068', '1.40446367267347285237903390680343', '1.44844619318438768004705399444037', '1.57306313531569113185571454408528', '1.98304557844454304610463852197263', '2.45359696077673647497357818650211', '2.49713716860443681886566752610504', '2.59021086922616481486987239415229', '2.64679284239455217568744480850873', '2.73857447944533734707439476337555', '2.74943458116413493925017251107751', '2.98135978340665099333982956982217', '3.04291884478391558964122430423763', '3.31615436568613007146817837795589', '3.32857748608509419439687825528609', '3.44430287024083790965559707929601', '3.59577844771088388271465911947625', '3.61764589386342678547428026655654', '3.72574930667425381458117015080312', '4.11367714931027465838602023918788', '4.13333774919780937622481530756255', '4.15073669282239209814372497267060', '4.46366614890224629298882901030031', '4.58449208530291479619574667782301', '4.60127437022211863484060671561993', '4.60180182460239275666950073157891', '4.61622014454801215963577120937059', '4.76922701662393941462745312330255', '4.95359597400034979282162308023538', '5.08212216576416999044460786626943', '5.14486421962319653835128382663068', '5.16748849635071215652262681879172', '5.23509069415304878281296355897905', '5.33386951479344947633460031581112', '5.53936659550344802477686948038303', '5.62101703346666221437865244450722', '5.74444401847530606960399498692143', '5.86646888508401665596904910667290', '6.00583262992500168402773558849484', '6.00666580792475884793454538264235', '6.14561715964140158718892016054092', '6.17130573841419668658763348391764', '6.27598789776589764538456364999967', '6.38521879303092857630696785962563', '6.89844380005214902631865493546208', '6.93495422288006126337089529249322', '6.95870686606131462791948800675972', '6.98265299065526400679927689186796', '7.06785358339842025150545550917611', '7.10465958302940511086493248950061', '7.14097760986910267908044410340179', '7.15055674412658937823388519792525', '7.50706009916964314835911888887317', '7.53021184129826062801984813139992', '7.59943251323401519768193293047566', '7.67595218959535304203302760424390', '7.69055259094525692700083198191386', '7.82810597766120696046426015360215', '8.124757062036893964633824521828877', '8.162038339849852445227256891776938', '8.188267147506898852518476712466706', '8.212131267249938107776365229241882', '8.470039316711062916889999616091179', '8.487324656499795734275510560095770', '8.524668207206133666258291350231499', '8.525808357561319357875601539730388', '8.617363316409649548317785623744651', '8.895208957431068934462413687833711', '9.298517759141335329448758779624772', '9.398493046444756993284299345148423', '9.415199891041483408193302788054952', '9.428946926614221960131959671723872'], 'prelabel': '16-2178e8-1.1-c2e8-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.703648588667105, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c2e8-0', 'trace_hash': 1406915146192067932, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.04566420790236971380810442025', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.05506289627161269643113012728', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '0.19160752017849825094048731148', 'prec': 103}}
-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 153866267628850.03, 'bad_primes': [2, 3, 11], 'central_character': '1.1', 'conductor': 506364211574415072751124736, 'conductor_radical': 66, 'degree': 16, 'dirichlet_coefficients': [1, 0, 0, -8, 0, 0, 8, 0, 0, 0, 0, 0, -36, 0, 0, 40, 0, 0, 72, 0, 0, 0, 0, 0, 68, 0, 0, -64, 0, 0, -88, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -220, 0, 0, 0, 0, 0, -136, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, -160, 0, 0, -276, 0, 0, 0, 0, 0, -488, 0, 0, -576, 0, 0, -368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, -832, 0, 0, -544], 'euler11': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler13': [1, 36, 1484, 38256, 929466, 18059988, 324042736, 4908543348, 69129510947, 829543825812, 9254984582896, 87172112618292, 758193970324986, 5273914464175344, 34574358321761804, 141745549885174404, 665416609183179841], 'euler17': [1, 0, -1114, 0, 676455, 0, -279227046, 0, 89888383729, 0, -23321322108966, 0, 4718785999751655, 0, -649041172273953754, 0, 48661191875666868481], 'euler19': [1, -72, 4186, -170388, 5980591, -173969856, 4512735484, -101450959344, 2060240945317, -36623796323184, 588104201010364, -8184565142963136, 101571744270937231, -1044660117534196788, 9264936251210949946, -57528481376367656712, 288441413567621167681], 'euler2': [1, 0, 8, 0, 24, 0, 32, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, -2890, 0, 3786654, 0, -3094240920, 0, 1853502417991, 0, -865895473293720, 0, 296536605658239774, 0, -63333264608538727690, 0, 6132610415680998648961], 'euler29': [1, 0, -2156, 0, 3375920, 0, -3473624244, 0, 3317362524974, 0, -2456828428920564, 0, 1688791870443299120, 0, -762824672590991252396, 0, 250246473680347348787521], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 88, 9046, 517132, 31279011, 1347276744, 59951673144, 2050875917376, 71829875109877, 1970891756598336, 55366629133620024, 1195713069625694664, 26677588141918450851, 423856015302955582732, 7125197542151221138006, 66611066299430076188248, 727423121747185263828481], 'euler37': [1, -108, 13180, -947280, 67976810, -3657517884, 191683420752, -8089141970460, 330646857151955, -11074035357559740, 359245591519989072, -9384190226368598556, 238767148468091572010, -4555075804303980000720, 86763307436971665003580, -973302619967460896366412, 12337511914217166362274241], 'euler41': [1, 0, -2546, 0, 9721190, 0, -17784166584, 0, 41314150786079, 0, -50253804350570424, 0, 77622975288078773990, 0, -57446646304732309762226, 0, 63759030914653054346432641], 'euler43': [1, 220, 31372, 3165360, 260367098, 17783660620, 1057801495344, 54716120440300, 2511157128504995, 101170106694114700, 3616412810083562544, 112416975119224430380, 3043222787121766771898, 68408121655177430414640, 1253613537371721546852172, 16254778615710470828398780, 136614025729312093462315201], 'euler47': [1, 0, -13522, 0, 85478103, 0, -333215608734, 0, 881858112462505, 0, -1625985874842733854, 0, 2035343613836532919383, 0, -1571141234599202674974802, 0, 566977372488557307219621121], 'euler5': [1, 0, -68, 0, 1659, 0, 3038, 0, -780139, 0, 1898750, 0, 648046875, 0, -16601562500, 0, 152587890625], 'euler53': [1, 0, -15090, 0, 116674479, 0, -569860816310, 0, 1915316083011921, 0, -4496475943738545110, 0, 7264116941446840355919, 0, -7413096865233997673532690, 0, 3876269050118516845397872321], 'euler59': [1, 0, -12960, 0, 92791479, 0, -458032464230, 0, 1773271707430221, 0, -5550144718794497030, 0, 13624613467522162380759, 0, -23058398540384344010777760, 0, 21559177407076402401757871041], 'euler61': [1, 160, 35338, 3978600, 502653983, 43077534160, 3905920441176, 263127071272000, 18406379905085885, 979095832203112000, 54080753387172749016, 2219370686471965671760, 96362444448310962820223, 2838106108341944716338600, 93799384053728099662747498, 1580293205337810895217990560, 36751693856637464631913392961], 'euler67': [1, 276, 43994, 4996896, 482908971, 41933206068, 3476811862576, 269042159764848, 19132748358103517, 1207730255184402672, 70061656537004347696, 3793209980070573801492, 196093724325237299526411, 9108530934213478577462304, 359990535490417917217816634, 10138094144959543219253874804, 164890958756244164895763202881], 'euler7': [1, -8, 200, -1120, 21090, -98504, 1574192, -6568680, 90298195, -321865320, 3779634992, -11588897096, 121579653090, -316372278880, 2768257440200, -5425784582792, 33232930569601], 'euler71': [1, 0, -26640, 0, 346358039, 0, -2907307265670, 0, 17242135660590621, 0, -73879564804188291270, 0, 223661926759607007022679, 0, -437153948210671208616180240, 0, 416997623116370028124580469121], 'euler73': [1, 488, 128380, 23929440, 3510188960, 426280023104, 44087274097812, 3945826773076760, 308064264210468590, 21027310873726054040, 1252001034862722748692, 64510757478900884181056, 2830827311247188615545760, 102839779434341500548286560, 2940164928208419413385065980, 59557966851396335272763359592, 650377879817809571042122834561], 'euler79': [1, 368, 96356, 18140512, 2814104426, 362245975504, 40324313267664, 3876730310947536, 327939188906088307, 24194673870623572176, 1570635268044887480784, 88057452457989855557584, 4269302616681645956538986, 171759375896205313171906912, 5693821636967994723222128996, 135714764288313647981314967408, 2301619141096101839813550846721], 'euler83': [1, 0, -19194, 0, 120240750, 0, 162316729624, 0, -5418844315837401, 0, 7703279458166001304, 0, 270817307211572394120750, 0, -2051646808535861621928630234, 0, 5072820298953863752478356399681], 'euler89': [1, 0, -29790, 0, 475225134, 0, -5604148016720, 0, 51186285493106271, 0, -351616805464718269520, 0, 1870765942692671407303854, 0, -7357844122209159159641890590, 0, 15496731425178936435099327730561], 'euler97': [1, 832, 367450, 110841900, 25307581415, 4606123001896, 688751061919332, 86087268364399120, 9078368685190788125, 809995108040631320080, 60974636299704941960292, 3836771511838895188345384, 198346488774351026707779815, 8173749133087494875640653100, 254952375547773693208412815450, 5431597828472255352453665919808, 61425365346268570446197767595521], 'euler_factors': [[1, 0, 8, 0, 24, 0, 32, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -68, 0, 1659, 0, 3038, 0, -780139, 0, 1898750, 0, 648046875, 0, -16601562500, 0, 152587890625], [1, -8, 200, -1120, 21090, -98504, 1574192, -6568680, 90298195, -321865320, 3779634992, -11588897096, 121579653090, -316372278880, 2768257440200, -5425784582792, 33232930569601], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 36, 1484, 38256, 929466, 18059988, 324042736, 4908543348, 69129510947, 829543825812, 9254984582896, 87172112618292, 758193970324986, 5273914464175344, 34574358321761804, 141745549885174404, 665416609183179841], [1, 0, -1114, 0, 676455, 0, -279227046, 0, 89888383729, 0, -23321322108966, 0, 4718785999751655, 0, -649041172273953754, 0, 48661191875666868481], [1, -72, 4186, -170388, 5980591, -173969856, 4512735484, -101450959344, 2060240945317, -36623796323184, 588104201010364, -8184565142963136, 101571744270937231, -1044660117534196788, 9264936251210949946, -57528481376367656712, 288441413567621167681], [1, 0, -2890, 0, 3786654, 0, -3094240920, 0, 1853502417991, 0, -865895473293720, 0, 296536605658239774, 0, -63333264608538727690, 0, 6132610415680998648961], [1, 0, -2156, 0, 3375920, 0, -3473624244, 0, 3317362524974, 0, -2456828428920564, 0, 1688791870443299120, 0, -762824672590991252396, 0, 250246473680347348787521], [1, 88, 9046, 517132, 31279011, 1347276744, 59951673144, 2050875917376, 71829875109877, 1970891756598336, 55366629133620024, 1195713069625694664, 26677588141918450851, 423856015302955582732, 7125197542151221138006, 66611066299430076188248, 727423121747185263828481], [1, -108, 13180, -947280, 67976810, -3657517884, 191683420752, -8089141970460, 330646857151955, -11074035357559740, 359245591519989072, -9384190226368598556, 238767148468091572010, -4555075804303980000720, 86763307436971665003580, -973302619967460896366412, 12337511914217166362274241], [1, 0, -2546, 0, 9721190, 0, -17784166584, 0, 41314150786079, 0, -50253804350570424, 0, 77622975288078773990, 0, -57446646304732309762226, 0, 63759030914653054346432641], [1, 220, 31372, 3165360, 260367098, 17783660620, 1057801495344, 54716120440300, 2511157128504995, 101170106694114700, 3616412810083562544, 112416975119224430380, 3043222787121766771898, 68408121655177430414640, 1253613537371721546852172, 16254778615710470828398780, 136614025729312093462315201], [1, 0, -13522, 0, 85478103, 0, -333215608734, 0, 881858112462505, 0, -1625985874842733854, 0, 2035343613836532919383, 0, -1571141234599202674974802, 0, 566977372488557307219621121], [1, 0, -15090, 0, 116674479, 0, -569860816310, 0, 1915316083011921, 0, -4496475943738545110, 0, 7264116941446840355919, 0, -7413096865233997673532690, 0, 3876269050118516845397872321], [1, 0, -12960, 0, 92791479, 0, -458032464230, 0, 1773271707430221, 0, -5550144718794497030, 0, 13624613467522162380759, 0, -23058398540384344010777760, 0, 21559177407076402401757871041], [1, 160, 35338, 3978600, 502653983, 43077534160, 3905920441176, 263127071272000, 18406379905085885, 979095832203112000, 54080753387172749016, 2219370686471965671760, 96362444448310962820223, 2838106108341944716338600, 93799384053728099662747498, 1580293205337810895217990560, 36751693856637464631913392961], [1, 276, 43994, 4996896, 482908971, 41933206068, 3476811862576, 269042159764848, 19132748358103517, 1207730255184402672, 70061656537004347696, 3793209980070573801492, 196093724325237299526411, 9108530934213478577462304, 359990535490417917217816634, 10138094144959543219253874804, 164890958756244164895763202881], [1, 0, -26640, 0, 346358039, 0, -2907307265670, 0, 17242135660590621, 0, -73879564804188291270, 0, 223661926759607007022679, 0, -437153948210671208616180240, 0, 416997623116370028124580469121], [1, 488, 128380, 23929440, 3510188960, 426280023104, 44087274097812, 3945826773076760, 308064264210468590, 21027310873726054040, 1252001034862722748692, 64510757478900884181056, 2830827311247188615545760, 102839779434341500548286560, 2940164928208419413385065980, 59557966851396335272763359592, 650377879817809571042122834561], [1, 368, 96356, 18140512, 2814104426, 362245975504, 40324313267664, 3876730310947536, 327939188906088307, 24194673870623572176, 1570635268044887480784, 88057452457989855557584, 4269302616681645956538986, 171759375896205313171906912, 5693821636967994723222128996, 135714764288313647981314967408, 2301619141096101839813550846721], [1, 0, -19194, 0, 120240750, 0, 162316729624, 0, -5418844315837401, 0, 7703279458166001304, 0, 270817307211572394120750, 0, -2051646808535861621928630234, 0, 5072820298953863752478356399681], [1, 0, -29790, 0, 475225134, 0, -5604148016720, 0, 51186285493106271, 0, -351616805464718269520, 0, 1870765942692671407303854, 0, -7357844122209159159641890590, 0, 15496731425178936435099327730561], [1, 832, 367450, 110841900, 25307581415, 4606123001896, 688751061919332, 86087268364399120, 9078368685190788125, 809995108040631320080, 60974636299704941960292, 3836771511838895188345384, 198346488774351026707779815, 8173749133087494875640653100, 254952375547773693208412815450, 5431597828472255352453665919808, 61425365346268570446197767595521]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2178/3/c/p'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '16-2178e8-1.1-c2e8-0-0', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2, 2, 2, 2, 2, 2, 2, 2], 'order_of_vanishing': 0, 'prelabel': '16-2178e8-1.1-c2e8-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.703648588667105, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c2e8-0', 'trace_hash': 1406915146192067932, 'z1': {'__RealLiteral__': 0, 'data': '0.04566420790236971380810442025', 'prec': 103}}
-
lfunc_instances • Show schema
Hide schema
{'Lhash': '57886260556385623970050717887,69800513509014569459285180606,242891387962515884556265443028,467961052522111514883907299658,1646665815391682336732187035432,1769804116036046200019915018141,1836123686188482961014906974023,1994094427679836310601203289733', 'Lhash_array': ['57886260556385623970050717887', '69800513509014569459285180606', '242891387962515884556265443028', '467961052522111514883907299658', '1646665815391682336732187035432', '1769804116036046200019915018141', '1836123686188482961014906974023', '1994094427679836310601203289733'], 'label': '16-2178e8-1.1-c2e8-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2178/3/c/p'}