-
mf_newforms • Show schema
Hide schema
{'Nk2': 6048, 'analytic_conductor': 32.27041358350273, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [42, 3, [29, 31], [3, 2]], 'cm_discs': [], 'conrey_index': 25, 'dim': 8, 'field_disc': 13890808674581993069976797093236890000, 'field_disc_factorization': [[2, 4], [3, 4], [5, 4], [83, 2], [1021, 2], [2539, 2], [19246631, 2]], 'field_poly': [825509675429896900, 20250219160910620, 377283443578066, 2926931386118, 18152831051, 44838722, 131491, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [572709007392976988192990250000, 475702305839835662956950000, 298712016882146605297500, 82233088098744307500, 17880676262704125, 1076271246300, 129418525, 1420, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511073961345066, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 813189888, 'hecke_ring_index_factorization': [[2, 8], [3, 3], [7, 6]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '42.12.e.d', 'level': 42, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '42.12.e.d', 'prim_orbit_index': 3, 'qexp_display': 'q+2^{5}\\beta _{1}q^{2}+(3^{5}-3^{5}\\beta _{1})q^{3}+(-2^{10}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '11.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '42.12.e', 'trace_display': [128, 972, -1420, -66362], 'trace_hash': 273682936184580983, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.069', 'prec': 7}, {'__RealLiteral__': 0, 'data': '7.486', 'prec': 14}, {'__RealLiteral__': 0, 'data': '7.357', 'prec': 14}, {'__RealLiteral__': 0, 'data': '218.284', 'prec': 20}, {'__RealLiteral__': 0, 'data': '521.494', 'prec': 20}, {'__RealLiteral__': 0, 'data': '11096.767', 'prec': 27}], 'trace_zratio': 0, 'traces': [8, 128, 972, -4096, -1420, 62208, -66362, -262144, -236196, 45440, -861962, 995328, 836748, -1361216, -690120, -4194304, 5647852, 7558272, 16668730, 2908160, -5789232, -55165568, -58546124, -31850496, -61508150, 13387968, -114791256, 24395776, 83352992, -11041920, -143079978, 134217728, 209456766, 361462528, -646766300, 483729408, -995442674, -533399360, 101664882, 46530560, 1711095960, -516030912, -2514697076, -882649088, -83849580, 1873475968, -157353996, -2038431744, 919095020, -3936521600, -1372428036, -428414976, 3308134056, -1836660096, -1913881520, 2174550016, 8101002780, 1333647872, -13254951118, 353341440, -2257053996, -9157118592, 2511826362, 8589934592, -23359571400, -6702616512, -7660541662, 5783400448, -28453416264, 8760306880, 41156120104, 7739670528, -22702426966, 31854165568, 14946480450, -34137559040, 102068213384, 6506552448, 3355687386, -1488977920, -13947137604, 27377535360, -217865672684, -10584815616, 323492136520, -40235153216, 10127388528, 28244770816, 115800374664, -5366373120, -48616475886, 119902461952, 34768434654, 5035327872, 32246896960, -32614907904, -433590560908, -80526496576, 101795988276, -62984345600, -70573462396, 43917697152, 177222856606, -27418558464, -223687791270, 211720579584, 106436775486, 58773123072, 576493848434, -30622104320, -483785139564, 44604325888, -568381964248, 129616044480, 57862848820, -42676731904, -24704566326, -848316871552, 1048022156804, 22613852160, 419501349250, 72225727872, 207898159140, -146513897472, -2957697860400, -45017068032, -1054008181116, 137438953472, -305535694734, 747506284800, 280880727614, -428967456768, 2698921788530, -490274666368, 20375447940, -185068814336, 950411330816, -455254660224, -539741728972, 942618511360, -76474042056, 658497921664, 170212047192, -247669456896, -1973265891070, -1452955325824, 834838173234, 2038666596352, 1559151576072, -478287374400, 643410713072, -546200944640, -667000025496, 1937840721536, -1541153503620, 104104839168, -476199110012, -107381996352, -803876575608, -95294586880, 3467397262448, -892616806656, 2474064545404, -876081131520, -232536604680, -3485850762944, -7482859441072, 189701554176, -5642620829444, 5175874184320, 984271837770, 1287524902912, -2088952678744, 648152865792, 14243386334600, 1807665332224, 3220953121674, -3705611989248, -3509567400708, -85861969920, 7189231912164, -1935650815296, -1096928242056, 1918439391232, 6861203033920, -1112589908928, -3715680119788, 322260983808, 952222166334, 2063801405440, 5559452919636, 1043677052928, -7104222963056, -6937448974528, -11352751700400, -3518001190912, 7409164308496, 1628735812416, -7704892464464, 2015499059200, 1861511623866, -4516701593344, 14307200625994, 2810732617728, -1353148449240, -5671131411392, -3457090076076, -438696935424, -24749952521152, -5029254748800, 13355905511368, 3387529273344, 5000468592636, -3405976815552, -18904882367780, 3761479876608, 39491749158450, 36895606299776, 5516689752738, 979907338240, -25723014631776, -7740562233024, -32987764960736, -799400787968, 7263989498700, -9094111427968, -7221620158614, -4147713423360, -16384761441922, 3703222324480, 10087097873148, -2731310841856, -13326265966280, 790546122432, -40000609863420, -13573069944832, 1630864069596, 18944501233280, 53680884043728, 361821634560, -314436492026, -13424043176000, 3389154437772, 4622446583808, 38409527225240, 13305482184960, -38960626431738, 4688444719104, -26470679231106, -47323165766400, -45839461620660, -4012656371712, -1032432292696, -16864130897856, 39304294587180, -4398046511104, 11664286945572, -19554284462976, 62373698307518, 47840402227200, -2460955412304, -8988183283648, -33734434034904, -6863479308288, 77519280217020, 31113462489728, 56278982086704, -7844394661888, 74405524582340, -652014334080, -14915632570392, -11844404117504, 2885044738356, 60826325172224, -85664115467500, 14568149127168, -110391888470690, -8635867663552, 16897459241844, 21193238118400, 135690848165200, -1223584672896, 15795080751674, -21071933493248, -7835995961280, 10893571020288, 68238623918052, -15850845241344, -116678655165836, 63144508514240, -52681253150322, -23247285213184, -180205963843824, 7146882875520, 140126867821040, 32618665541632, 12368212575534, -49892850434304, -29773487894304, -30610391961600, 134710767434102, 41178285636608, 17149351362228, 17478430228480, -140729487077940, -10672000407936, -133423880904460, -42506947416064, 86130308310516, -24658456057920, 187649989873700, -3331354853376, -127466422876696, -30476743040768, -16165230029910, -6872447766528, -64611080248992, 25724050419456, -132564851761880, -1524713390080, 51728272886196, 49070327530112, 311588027906624, -14281868906496, 111581354690850, -79170065452928, -140088005169462, -56069192417280, 69957772618212, -14882342699520, -94311268852190, 111547224414208, -58779894457026, -119725751057152, -656531926600720, 16909300924416, 676488204285768, -90281933271104, -69058408656132, -165627973898240, -219589497779772, 62993397617280, 255965319902200, 82401593786368, -14060672263260, 66846485719808, -334637008031520, 10370445852672, 103095276864704, 426390349630400, -12006419234436, 28922645315584, 154322974679388, -103070499893568, -420224078025380, -237159167311872, 110809577863152, -224612313645312, -378017319678604, 2747583037440, -519980500643286, 115027710594624, 203877655735500, -12157554782208, 862089770561480, -17550851872896, 41358847851802, -61390060519424, -50519252671020, 439116994170880, 711253841642886, -71205754171392, 16600758546314, 118901763833216, -359360290038600, 5156175740928, -279032040092520, 19531961790912, 873932608866668, 33020822487040, -128061994005594, -177902493428352, -186294762284156, 66795331387392, 368993157882170, -454670269635584, 74245173820362, 221998367184896, -65171174604460, -181644027206400, -231755239573984, -30116905615360, 136508033620404, 118546628935936, -738984207367830, -52119545997312, -527694623604126, -493113117725696, 419570138831418, 128991939788800, -33574042554072, -59568371963712, -144477376529574, -72267225493504, 9902467698840, 1007623602535936, 767786058859760, 44971721883648, -782353251988136, 43300750375680, -230949953388288, -362952410329088, 695356196589856, -221253764868864, 637007115853120, 14038301933568, -65578620070098, -395999240338432, -1086102475700424, 68120146298880, 1675776929097060, 213694488181888, -9291596109804, -108400936747008, 114174915822800, 320029989928704, -535727083796508, -217982516195328, -41361527467656, 604956235768960, 629768588137572, 60183678025728, -169797513524876, 1159925600045952, -959007223060020, 590329700796416, -499987822180000, -176534072087616, -560202731806032, 62714069647360, 148594034259882, -1646272936433664, 31694667974266, 247697991456768, -814311969957420, -527804239371776, 757747665970992, -71255654924288, 797499781588256, 116223831979200, 615981935179128, 291011565694976, -156348803276496, -462183690151296, 408414198157020, -265453659095040, 1262907790454648, 524312366141504, -81040503097764, 59251557191680, -3590482566337168, 793682427273984, -341916877424884, -43700973469696, -187250150689830, 426440510920960, 492475160204060, 50594951835648, -601725050286644, -2560039031258880, 115716383732916, 434338238234624, 1768166590809656, 26093825113536, -1304221012609300, -466950649102336, -390684015745488, 858894144699648, 305580199947880, -11578292305920, -414004965878790, -20123935489664, 469949735093076, -859138763264000, -400456889686960, -108452942008704, 192240632664802, 73959145340928, 1202395369066344, -1259054643164800, 3091180870749708, 212887714959360, -915809445599468, 1246740045815616, 56506394937240, 300060462022656, 793648307483792, -1694123470790784, -172606459159138, 1514341304524800, -909167422090248, -733431385930560, -5324086686644976, -82307526230016, 19543045709000, -16518916683136, -685578430777446, 539652188731392, 3370455409920948, 2515474853579520, -3019861161213248, -281474976710656, -239178056578110, -373257182258304, 2710839752988700, -312868551407616, 1380709758560352, -1771883072367232, -1015231001869584, 765446435635200, -796345964814900, 78750573193728, 1786301410905838, -575243730153472, 223241161801950, -2159003778233856, -2814730515845220, 219631337865216, 2246744411122444, 1240308483472320, 1565383217133564, -1768065111783424, 304684920320088, 900463713387264, -3275984106591600, 251020629180416, 852824878372044, 4761953573269760, -2306938716308864, -41728917381120, -1453881302930346, 477300242252544, 873491677327926, -189510465880064, 946475273481080, -378041716489536, 1082256312941448, 973221202755584, -133276781409804, 2741251694960000, 7964721071043004, 932361544138752, -4118902663123482, -7065080862124160, -1667272337242560, 276347765233664, 3281863683716636, 270359347869504, 6119783310613236, -287057735843840, -1805820538216968, 2171053570643200, -778412348485538, 39154709532672, 1273717427412920, 1010885168107136, 83069151569424, -1348603743567872, -2654160345453384, 250751870760960, 1310501229802722, 174297136324608, 2701894118943096, -2418918383387520, 84227518642400, -253613523861504, -4444413106386220, 3733716965306752, 1726326180022608, 4041248544911360, -4669132453103548, -3371600201620608, -3163980899781600, 743913126821888, -1379359331598600, -2883295421501184, 2324667863898772, -626174037374976, 2340981380600748, 2242029885136640, 900213463482264, -1043797297332224, 8462396072620680, 791565604834176, -12295606247478820, -3193142427795456, 1872288868864752, 952751612617728, 27375779376684, -489766271385600, 8523057306910024, -4116256089333568, 904694649198876, 658852570185728, -836751451165820, -548779243591296, 4594320640823130, 1118619534622720, -4174991979640722, -9006687172988160, -8920266294647532, 341504013053952, 1218881251877592, -2134782094471360, -657630146330640, -3344571216166912, -4287448868125856, 1378084932968256, -6229577977145314, 789070593853440, 840072888486468, 12009599351916800, -7659909412727568, -213206710616064, -4867478093480000, 4078925532054272, -3007119231319968, -487627888652288, 2962724471616224, -1739396264915520, 17865259056655360, -109959164264448, 1622742519631212, 2067554567967744, 13018448534913750, 1646339226845184, -12753230481541902, -8484150512760320, -1215113868010548, 48790828482560, -4006238248539980, 827652366179136, 13355603607432052, -1980364315783168, -9187772830741080, 4985408446505984, -2193816690863724, 457019805007872, -6571976321212586, 7141206700214400, 788310020154402, -5066884188987392, -2033902861845420, 4482816165422784, 7780776506485520, -897107078676480, 2681111219830668, -6614327188262016, -4785443102049872, -238117483192320, -11764626193235566, 3017960603270080, 6250692555521568, 7139022362509312, -7099081993800820, -3761913245249664, 6951094278097564, 3831224033828864, -4008013442729424, -10504510825611520, -8577891741627168, 346843238105088, 950268408566800, 10823811268572288, 882574724092050, 2889021864675328, 716647466711424, -4419738153992448, -1352698579623956, -10600190329487360, 1754853698543202, 7026863928952704, 7494185802200190, 1007894361876480, 24673410465598760, 1708747289740864, -7962994060774092, 1318425500581888, -4466836463738220, 449941512424320, 938398800335554, 4278175086067712, -3575861148936852, -21416768514017280, 5219961762117440, -331854267285504, 10671741049446624, 1649524429835264, -6476565259612080, -940736418457600, -213750765691744, -192102707750976, -13141832142989854, -925524650098688, 9720148196811060, 9876670379480832, 13913558496679468, -6596511993188352, 2012324272305976, 13447170496812160, 198149984455914, -3794546676989952, 1641413230216536, 8149420291307904, 20461762539655800, -3593797018324992, 6522227411312952, 12096554229715328, -1971046232524704, 175845314396160, 1669990393103378, -33278752041170304, 76408067562318, -3680886739027968, -2242682561329400, 3262042491768000, -45653137020051364, 1593064681832448, 1647129056757192, 13793436328983680, -5314297002164248, 561627259932672, -3810729585594618, 2646966262515328, 18894461312266020, -3928963873243136, 3370020913494988, 1616616085472640, 10556740785811758, 7025871906734080, -18934864445824668, 8534363928293568, 6877772796928992, -1139292066742272, -19525240349226540, -531224273482048, 6432375053158758, 7609712885325824, 10943866924267968, -22999058562470400, -4541487778418178, -164997623709696, -5569494586910190, -4464512641480320, -26255974655218780, -350052721016832, 53615628594404376, 13982921741866688, -125440523562564, -1056666319585280, -14179324773384284, -8195967616358016, -11493882962670584, -11385759579414528, -9550943584684740, 5961432393092992, -3898796777964132, 1068725302198272, -25685536587183520, 18725429723793920, 5668843455547992, -7274724314169344, 1278833731196708, -2375845562251584, -33065071990567350, 14207895499833344, 28612045769515542, -4170955174685440, -4980227687499036, 5812608870604800, -555998230505224, -3708083833183744, -1196024330379744, 2638692239802368, 39500312304514000, 2184128537926464, -13564570643556276, -3793492125949952, 8197467470481672, -47294989271541120, 25861553929846684, -3335650943827968, -899614957220892, 16886227955332032, 9418592546367930, -7889809883611136, -35314368676656816, 20986815827609280, 135845036085886512, 2063871036620800, 6837896323534536, 1074369361730304, 12625092742959328, -3812375805677568, -18223550955909460, -9246552097892736, -18080542473508620, 2312551215792128, -38073609430209892, 158439483181440, -55390475743742032, 17593381840132096, -7248997429210512, 12284576941756160, -4238454816282380, -1439095100276736, -46625429761830034, -50070608127240704, 3571820156012922, 2771248024043520, -14562022036447460, 7390398508425216, 8585054230378568, -5807238565265408, -41632760117205000, 4773476729661184, -10697340264715740, -3540060237901824, -32069594538850102, -20384227707299840, 26825228898377670, 898451323748352, 60183629611002184, -4197031684486272, 20972025179582000, 12671975690829824, 2053041297884046, -17377639611206784, -35842186864919480, 7329801544335360, 75106789463500252, 26812430865552960, 16486438052071800, -6838223621820416, 2228635797086800, -594662151027456, -27992039995321030, -6937659951808512, -3838204622656782, -3653597306329600, -25882224996762064, 5120479838859264, -28835752356620492, 35376084123191424, -3808294037182080, -3487720259125248, 14628455359829724, 1323568878964992, -51773823767918996, 38717199089213440, 34950647085935616, 40305189640804608, -32519524826031472, -1925877696823296, -32712398452878100, -2716760216398016, -56705826410596296, -3321931936782336, -8332214437505304, -15344115568960320, 16519342902370506, -18890550425485312, 12801544515528246, -31999220619520000, 71709429314060250, -11298180613607424, 41060395852613948, 17926487417793024, -21895024607024616, 1003425114357760, 124118121901056144, 6491701635067584, 141613173426189196, -26340366982938624, 17025414440256360, -1014229375176512, -32343529053625224, 15852671453233152, -69911814428545512, -52115966077274880, -3005475655854762, 16889735659896832, -84687149851334124, 12123962655535872, -32407783779882720, -1461594550697984, -14469915116631744, 12759996505412096, -8128739811761574, -3719162623334400, -88337364059827932, 39422843851464192, 63992536164863568, 18624740204478464, -15149232119272740, 5003161704847872, 18430062834393678, -7394939042420736, 8334584762042808, -39663015238154880, -27969825516048480, -4247258545520640, -21341797942553530, -40413049294548736, 34197265359939420, 33555991433056256, 96740895763916692, -5186592198256896, 4968359071529642, -1896049830133760, -16211001529891890, -57447721061394688, 96652195536594456, 15068649450663936, 171617982990432500, -5470670038798144, 10464832459727694, 1398431151030272, -22846037360572176, -11984009644149120, -73113122617526072, 27292192698941440, -45598947539309100, -15759205126529920, -101505949798284220, 809519229370368, 85333288688384296, 48568305718388800, -61948681518074256, -40960624500142080, 17765899178080160, -3702924279453312, -29348270786436000, 27797647247015936, 9280389489434100, 113162661811817984, -27717045423451132, -835002403633152, -50344147264913634, -20867536201748800, -31400985001010112, -34341590034153472, -112245720808411448, -6250944251927808, 30501463490114400, -27484612630388736, 32213258978136840, 19557132796664320, 70481714831568820, -741010707578880, -552518432196440, 13248158908121280, 6284985155672814, -321982967834624, 176050136010421000, 26962481112795648, 70603359166722892, -13746220212224000, 37857945390654816, 12814620469982720, 3198242068610142, -6940988288557056, -16332038767920950, 12303400490547328, -27114269189876550, -2366692650909696, -88104568209328776, 19238325905061504, -59036209516042608, -79621104459919360, -68082770512358532, 49458893931995328, 71133043160546856, -6812406878699520, -118537309190349260, -58611804518365952, 67227285832090200, 79791362932199424, -24606991781429512, -1808204637991680, -24090652036512818, 4800967392362496, -45835276662164340, 8725292750156672, -238988288042629520, -27105975532652544, 24905246431266838, 5523406693092416, 14283514353057318, 96917843489587200], 'weight': 12, 'weight_parity': 1}
-
mf_hecke_cc • Show schema
Hide schema
{'an_normalized': [[1.0, 0.0], [0.3535533905932738, -0.6123724356957945], [0.28867513459481287, 0.5], [-0.25, -0.4330127018922193], [-0.1456186844051004, 0.25221895992097165], [0.408248290463863, 0.0], [0.9462759647054046, -0.3233601685750053], [-0.3535533905932738, 0.0], [-0.16666666666666666, 0.28867513459481287], [0.10296795921031025, 0.1783457369039371], [0.07372738725332023, 0.12769958063205666], [0.14433756729740643, -0.25], [-0.5890407377850017, 0.0], [0.13654222172123812, -0.6937984013295421], [-0.16814597328064776, 0.0], [-0.125, 0.21650635094610965], [0.8739489049096782, 1.5137239065227441], [0.11785113019775792, 0.2041241452319315], [0.9571129827523076, -1.6577683147107913], [0.1456186844051004, 0.0], [0.43484642576267174, 0.37979194216671125], [0.10426627097197871, 0.0], [-0.1191077867983734, 0.2063007383118643], [-0.10206207261596575, -0.1767766952966369], [0.4575903975042555, 0.7925698175330094], [-0.20825735004145085, 0.3607123113214493], [-0.19245008972987526, 0.0], [-0.37658805145533775, -0.3289094700690023], [0.8990227853070054, 0.0], [-0.05944857896797903, 0.10296795921031025], [0.633102430891597, 1.0965655766996099], [0.08838834764831845, 0.15309310892394862], [-0.04256652687735222, 0.07372738725332023], [1.2359503941443815, 0.0], [-0.05623789566671034, 0.285756021953115], [0.16666666666666666, 0.0], [0.46324826199449076, -0.8023695262924365], [-0.6767810804658398, -1.172219216968195], [-0.17004141426191324, -0.29452036889250083], [0.05148397960515513, -0.08917286845196855], [1.05238627899282, 0.0], [0.3863155448980242, -0.13201123602485249], [0.02257341651936246, 0.0], [0.036863693626660116, -0.06384979031602833], [-0.0485395614683668, -0.08407298664032388], [0.08422192373725138, 0.14587665102411063], [0.9639095495541674, -1.6695403137286484], [-0.14433756729740643, 0.0], [0.7908764027582883, -0.6119759109312308], [0.6471305461622139, 0.0], [-0.5045746355075814, 0.8739489049096782], [0.14726018444625041, 0.2550621213928699], [0.6520566314855013, 1.1293952151451043], [-0.06804138174397717, 0.11785113019775792], [-0.042944340545815446, 0.0], [-0.33455907575851684, 0.11432508398250571], [1.1051788764738608, 0.0], [0.31785255396590056, -0.5505367727844682], [-0.25087507356336053, -0.43452837376432013], [0.04203649332016194, 0.0728093422025502], [-0.7972079306646315, 1.3808046401079883], [0.8953420441382717, 0.0], [-0.06436662059824305, 0.3270597029043366], [0.125, 0.0], [0.08577533729726165, -0.1485672422352149], [0.030099079806535187, 0.05213313548598936], [0.10363257819879959, 0.17949689075967565], [0.4369744524548391, -0.7568619532613721], [-0.13753382554124288, 0.0], [0.15510601248537373, 0.13546854759179916], [0.2988719259142602, 0.0], [0.05892556509887896, -0.10206207261596575], [-0.39419051716728215, -0.6827580035955845], [-0.3275659874291868, -0.5673609330588197], [-0.2641899391776698, 0.4575903975042555], [-0.9571129827523076, 0.0], [0.11105941241848387, 0.09699854348424668], [-0.24047487421429953, 0.0], [-0.5085638957520315, 0.8808585063376805], [-0.0364046711012751, -0.06305473998024291], [-0.05555555555555555, -0.09622504486493763], [0.3720747371517505, -0.6444523489596672], [-1.720383138723477, 0.0], [0.05574312859383321, -0.28324201126934667], [-0.5090531590809022, 0.0], [0.007980907947694814, -0.013823338055937674], [0.25952552355230335, 0.4495113926535027], [-0.02606656774299468, -0.04514861970980278], [-0.2292308651826306, 0.39703950515928776], [-0.06864530614020684, 0.0], [-0.5573950923982858, 0.19047231226770364], [0.1191077867983734, 0.0], [-0.36552185889987, 0.633102430891597], [-0.6815869789402222, -1.1805432773018434], [0.2787470667508652, 0.4828040820732918], [-0.05103103630798288, 0.08838834764831845], [-1.221982466878334, 0.0], [-0.09514014542870607, -0.7006770673625652], [-0.04915159150221349, 0.0], [0.22879519875212775, -0.3962849087665047]], 'angles': [None, None, -0.43992529851771667, None, -0.07158859858102791, -0.2975799411868386, 0.0858911719738687, -0.2134469161678689, -0.43566837008403875, -0.17579905630003392, 0.025776074928627594, -0.3400085795432283, -0.16180944556250415, -0.2482036264479193, -0.20955569102362526, 0.029713453172558957, -0.12369250156270231, 0.23017861243078216, -0.06681002983220635, -0.2261271077466858, -0.14782082847682795, 0.16824505228485057, -0.4148280530419331, -0.45347720501488686, -0.35461447265396107, -0.045553549531985836, -0.3724805763638413, -0.45960033271136685, -0.06664883188555466, -0.1992315259606477, -0.36357008426224974, -0.3945594880732255, 0.08332452908001547, -0.2676936409210559, -0.37653142063885187, -0.4866096082902105, -0.496405761955768, -0.363956004701384, -0.2121157854306955, -0.39154324578979977, -0.14828568478042584, -0.39282665510114323, -0.3335501989384981, -0.13138319252490552, -0.1723681743715481, -0.48530595361624107, -0.20229664243076304, -0.17373479226357388, -0.02742998366293694, -0.47784037949403685, -0.46543796199106013, -0.07767212278239068, 0.0660491704553618, -0.38573068359776186, -0.4378553425648027, -0.09703502079445578, -0.08005429029290494, -0.46056831008456284, -0.4260998099297867, -0.3459720834642354, -0.041169827880238284, -0.23443315786953842, -0.1962946185826821, 0.02819750773256102, 0.16859754271463853, -0.3661838287072017, -0.338939035029316, -0.16106493254108595, -0.433554012469051, -0.30123135851838745, -0.07191241200620127, -0.48782717233381906, -0.08182695595477257, -0.42205279899210746, -0.28029885776709307, -0.3583755260563756, 0.011536326973913703, 0.22632518773995683, 0.2272647994553022, -0.431268246567219, -0.265147979241237, -0.17621341673660332, 0.0047188086086524875, -0.3379376464699366, -0.36684276655410575, -0.3054802475345122, -0.3134384083874399, -0.4218635754089552, -0.399867442431389, -0.07309001339102601, -0.43030087154712066, -0.4881567388675055, 0.014601965977896753, -0.14217171505136314, -0.4512234270266789, -0.425878451293313, -0.24289526739948267, -0.1564985714660966, -0.3613191445489122, -0.32364578057383026], 'char_orbit_index': 5, 'conrey_index': 37, 'dual_conrey_index': 25, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 3, 'embedding_m': 7, 'embedding_root_imag': -191.14995778848484, 'embedding_root_real': -110.36047958476733, 'hecke_orbit': 4, 'hecke_orbit_code': 13511073961345066, 'label': '42.12.e.d.37.3', 'level': 42, 'weight': 12}
-
mf_newspaces • Show schema
Hide schema
{'Nk2': 6048, 'analytic_conductor': 32.27041358350273, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [42, 3, [29, 31], [3, 2]], 'conrey_index': 25, 'cusp_dim': 168, 'dim': 28, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 275079233578, 'hecke_orbit_dims': [6, 6, 8, 8], 'label': '42.12.e', 'level': 42, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 184, 'mf_new_dim': 28, 'num_forms': 4, 'prim_orbit_index': 3, 'relative_dim': 14, 'sturm_bound': 96, 'trace_bound': 2, 'trace_display': [0, 0, -10124, -72418], 'traces': [28, 0, 0, -14336, -10124, 31104, -72418, 0, -826686, -318272, -1638040, 0, 1978584, -335360, 4555764, -14680064, 1559804, 0, -5097220, 20733952, 29958012, -51113344, -20646748, -15925248, 65193944, -67420544, 0, 126420992, 276341656, -115675776, -371468682, 0, -67370778, 844796672, 150672680, 1693052928, -1351393444, -891388032, 251218260, -325910528, 5451177312, 24960960, -3530671024, -1677352960, -597812076, 3449698688, -3475255764, 0, 10706104834, -5634512384, -2024725572, -1013035008, 9444322068, -918330048, 13463802380, 7451312128, 11007159336, -1514752448, -26063526872, -2332551168, -20964535920, 24035449600, -3013860960, 30064771072, -40538303292, -10018660608, 21217199788, 1597239296, 10716278616, 1230037184, -42719023432, 0, -43156310732, 3430345344, -14813488008, 10439106560, 9063313036, 27329156352, 57995267574, -10615783424, -48814981614, -927854592, -238907176288, -22924394496, 213787952168, 30817020288, -20620471158, 26170032128, 187906684896, 37587286656, -358553662500, 42284539904, 124846567812, -3636794112, -401515267132, -16307453952, -242632624124, 36348195072, 193449247920, 66758598656, 480676328680, -3892261248, -54717034576, 138077274112, -513857446614, 534621012864, 18523702368, 0, 339793234900, 32609429120, -653253056712, -53519319040, -1769198087456, 165378319488, 1097550442724, -141486927872, -58416703308, 290800375936, 1693746860356, 236903989248, -613668181612, -198676679552, 45067211568, -380383930368, -1054785057672, -409877532288, 61514826252, 0, -1226714092020, 1388251595904, 2227694864056, 137975353344, 1740958478776, -273742139392, -134506654218, -432535896064, -1127088862352, -993653205120, 5116435059208, 842316136448, 389917745568, -1267926893056, 429946025820, -866843099136, -1658435667410, 1112507330048, 917718667776, 2767653773312, -660322258560, -2209535967744, 462571590214, -912781344768, -184209732792, -2293685281472, -9088775517888, 257247498240, 1201694176328, 1771848272512, 720204773922, 667464761344, 4348690228672, 0, -1701871696972, -2791002783744, -1645337608380, -7798839573568, -6678173967152, -969799827456, -223155304924, 2545700194688, -300985743780, 1807703564288, 5675479872280, 2499658589952, 8865853562752, 3435218862080, 1523234567430, -5367473046912, -3994933832040, -612159565824, -257955065184, -19894475688704, -1869660955944, 3532491456512, 10466197379780, -487036120896, 8427856088452, 7117323804672, -447054546492, 27931514707712, 5030753060472, 0, -12234465418942, -21687661664512, -5340588675768, -12542411042816, 1905326123024, 1509095924928, 16959197014112, 2884870340608, 11569286830896, -26496884357888, -1130986944712, 4146637971456, -2325933327504, -4800101693184, -1219169822652, -1037347848192, -37358493035192, -7927098255360, -14801648895232, 9670985797632, 10195656448392, 8801161019712, -3240261946180, 1880739938304, 41264504799414, 84328207265792, -13659798838392, -6893466818560, -1605730610160, -9168190685568, -12343031625508, -7278493171712, -7699274398512, 14064960537856, 14178962255016, -5635665580032, 33916827482032, 22052048289536, 41561000341488, 3102213013504, -42317493523948, -3981115702656, -61925483521656, -26689051516928, 32313909350232, -34014597598592, -34199009601192, -2388532396032, -3540337128178, 38942948363776, 0, 42935369564160, 105409739615692, 8400209753088, -27649408343040, -12306150195200, -17595720107802, -56279426496192, -34582994773728, -4378839533568, -190243590535640, -2068457580416, 30009000795948, -15393162788864, 27318581361792, 12769990060032, 81665784609856, 83022445142016, -8158849222572, -59511124649024, 47588915984436, -10259108462592, 2048266012596, -5338390535296, -10099901812392, 21726412582912, -29264020406732, -6830538897024, 7346639433246, -3271146078208, 57130303346028, 104018876427520, -63719109794360, -5486734651392, -131291924229136, 865200403712, 43869708406836, -2891009228800, -10083032463088, 15006825230976, -44178337863848, 21872139997184, -94908228239556, -2587844618496, 86599783035072, 0, 7897573266782, 58848720133120, -33249051374616, -44192062189568, -382138626123384, -37169545270464, 220652650654348, 3512673632256, -3978177070122, -70871018495616, 80284589250768, 30338023440384, -74924712850712, 121456853828864, 97976026795644, -5344822558720, -96295267592532, -24942199342464, 100424740378216, -15581203718144, 48863580463152, 64712798636352, 285706276138600, -13992528052224, -179573559398078, -264752489336832, -57469263992568, -118774307991552, 33639762999612, -12452747020416, 28696568450342, -10870562226176, 345114995904828, 4699248064384, 442531546384672, -49986541172736, 199254488492952, 35791070570112, -224009645835312, 1900246204416, -66500558551872, -74770473720960, 179658826735808, 122320474259456, -79798431474756, -72472029368960, -1160594407063904, -7938672427008, 591493879028796, -255477847737856, -146829909967632, -109459431510016, 174504147605292, 105271143803136, 9628789432400, -63113257549824, 265790404948212, 62367301911424, 203857665344088, -21115362465792, 669760796731624, 626566563446784, -29668374069480, 26798112899072, -68046556823376, -196200754136064, -746076629451712, -384832890667008, -282267283337856, -719334057847296, -444410111670440, -19244690767872, -301664760253662, 723260908887808, 1128472315234848, 480901928226816, 775326481484896, 74452965986304, 121298467712090, -21649684430848, -160943284548144, 275734173128960, 427097181393600, -255685770878976, -15398953494368, 244249804425856, -567888955474302, -3724077170688, -1825999221000600, 54449625206016, 415693513385968, -411151633543168, -241770784528188, -242175383695872, 499495610943680, 33397665693696, 274387473400630, -459521677097472, 104241296648088, 124227903551488, 807625880903992, 11444294189952, 1481385228106144, 20494741143552, -824788810653948, -288326408383360, -798210669878496, -99046014935040, -785059018894488, -1403866339054080, 331252089350004, -136721610047488, -569691921723360, 218415118464, -137373452367732, 492212560568320, 70600410551448, 1499402254323200, 2599146279767272, -3985675517952, -945673245345442, -78142215992832, -664831102723812, 112060486811648, -128208310550404, -407402515655424, -130803965072230, -70695564345344, -970808293480392, 307416727428736, -2924773612092864, 76666776016896, -643780410129888, -204888990426240, -205210377608436, -273725958586368, -19015978170176, 1575993543250176, -1241046691803696, -37936542449664, 739218074902308, 821080965628160, 2307084350222328, 0, 2635421855742776, 551719044223744, -936185394300480, 347948272537600, 78483019258288, -942836019527808, -881382681094122, -66784110837760, 91073838379050, -1597454897444352, -136690755067216, 334465565036544, -2122758881143380, 884733113714304, 2103908631467400, -77758235410432, 3008010013395496, 166356160881408, 942363700030704, 905829420777472, -1042173374028084, -23507387660928, -1968395154885120, -338694798311424, 1553987856320494, 980986240229888, -119558020301028, 1123891653349376, -6133122753876128, 390347324000640, 183639937976944, -144882614140928, 510630314637042, -586940130718336, 53116348237504, 119637408374784, -1578424798091044, 1870377610964736, 1010885184173664, -148889792479232, 3504802954460620, -433059319584576, 1729330919102656, -333306985447424, -1115355547586664, 595005013060224, 1973273953474700, -121294842494976, -1346041127655096, -4359432794307072, -591642609482700, 1256792435941376, -1456550832338924, -54226471004352, -1767419401222534, -203444919861248, 6076026599007096, -1800726155196032, 6068674237676592, 46148824645632, -1489929041701756, 1523381909102336, -397512033368310, 779026289393664, 744675223593676, -2389560694272, 1230923122454980, 540049949528064, -2634521458446396, -2065265555307840, -11453378503179000, -20277936783360, -7778888384014376, -465429536360576, -1182274151635728, -31495591041024, 5479176225182556, 5241697952700672, -557696117581636, 0, -324980875815732, -1641209498128512, 6900583229117840, -1256155230228480, 11237667433333056, -2848227744865408, -1274856411969000, 1421569634205696, 3080213075812140, -89444617301952, 1418945841694316, -4562319081586688, 537630349530600, -399540822661632, -5535337006415604, -70643380912128, -3875254634516782, 578326822488576, 3078050396529456, 345431272738816, -4787388972576288, 997994950396416, -5439816286898226, 140155975368704, -2068762736738880, 3429858543140224, 6449062686094352, 275469627838464, 812933790353568, -2271938399585408, -1413601701707304, -442916757569536, -4349123855495696, -1604535400238976, -6847111221570984, -1154138995048448, -1237934881540080, 2203350840386560, 10259542351816796, 2035001764085760, 6319336899811800, 1586466649348608, 456244526162340, -2619614750314496, 3123341141884684, -709634631715200, 858202868996784, -1020523479826432, -2032092002278728, -177235165714816, 2273867782732616, -199637885730816, 359299299118528, -3781329992766208, 430471428578658, 2596714276978688, -1715983097213388, -2305552140390528, -2165348894343264, 440264730439680, 9967248214168176, -5267068935773184, -9477497961525632, -887647333515264, -8411365715210, 4414190174695936, -3777889105295496, 3396476246855680, 4745345282950756, 1068453335634048, 2620091141566878, -569603752984576, -2393746271089308, -8545024959546048, -12190116243700528, -1343906996576256, -6830399393056200, 77803659683968, -164033638458516, -1417038731935744, 10999432783892796, 1183183780483584, -6573139316664308, 1352339985530880, 4544254373298552, -3065523233283840, 9360504621167856, -2262564830969856, 6068472305774852, -4750502335642624, -2505708860563224, 473673308379136, 6528082961318504, 421748200763136, 4886733784364106, 1869376194084864, -7327110101226822, 5714688407357952, -6344719802540616, 94315383189504, -1771615806205044, -281465856081280, 5695153556025024, -2815882912661504, -2767131296467576, 3989577393881856, 13787098242359896, 4653453065158656, -316392767998092, 9358842698716672, -1568932330181136, -526842876395520, -3076397883082786, -2881296464776192, -3332042923844988, 1230534836559872, -17527123949581760, 94077694430784, 14478646379771804, 1814372631052288, -1255118370102180, 1198970158107456, 15640767927750408, -1474979376992256, -5362621873658556, 19882338249267968, 1261257807318084, -341741957808128, -1381872950300644, -216588651584256, -11725699922772904, -5802399372898304, -6357906556027200, 1837849421709568, -2092760394089580, 0, -8826080173306870, -8119531109937152, -1900424892115368, 3485433235398656, 4093752225010140, -2125153382414976, 12997165864188418, -2857986850553856, 5096673984827736, -9339324296287488, 8311737723109280, -1684825710981120, -766507822698848, 5255560843438080, 2308938152495184, 15972023446667264, -9757289992711796, -405116924435712, 3671944441181228, 3419225071181824, -8028734782130316, 823998947879296, -25308426460588440, 966901559721984, -19549121042410708, 4533182937613312, -874721653384392, 114255516121088, -17299769655042348, -1360124871381504, 1937868876205082, -5213593998721024, 6505680915315306, 3997282018812480, -2324782716399192, -308209401630720, 50467670228117176, 5497245527425408, -11908135121576544, 1851088449830912, -15701260557790356, -908817101760384, 8264064219330128, -11623382778429440, 363311149584780, -12464575926716928, -3396804643473512, -1279825198055424, 5008277746693632, 4093631017987328, -11579905614006504, 2318935135436800, -123740953229912, -806879676714624, 3082324383065776, -1758832057384960, 6443585534477412, 3485143222718976, -8740118990675584, -3119584394096640, 3588700005719372, 1293220055990144, 3424562554977126, -5496292400037888, 76953223664172888, 7756033179328128, -12693138968477640, -4090812244008960, 8287864694382276, 2016121969567360, -15707469044668200, 1253702790807552, 11380712653643944, -6810129115090944, -9788632490688984, 132072993374208, -11549996119893640, 9227633155926912, -72897844284891932, 879706021691392, 5764951698650172, -9744492588673664, -29824327172545736, 957266409443328, 2337253769677800, 13848738169049856, 12671454333472326, -7234542502936576, 5179832553823016, -54788885803008, 16883352555467100, 10717386116894720, -12536401622818608, 36056855204840640, -1737110019813552, -498724987797504, -8161439293549404, -16664756551078144, 7053614926315056, -17260249269149696, -8056202185769640, -20097531213919488, -14700289413488622, -3644069787992064, 10358638622280846, 25936266643385472, 8124684109754944, 1811446426202112, 3264902387184288, 6967601590470656, 3897975784075452, -14300935530348544, -50093755087432108, -16783609160481408, -408935897599444, -10302982267846656, -6311982393784116, 10034851626340736, 7893442946341068, 0, 28750491760566412, 14286811807932160, 29850314217973560, -12528092588996608, -3180398206227680, 1819714230986112, 1575049384817616, 44416331088920576, 72085432838652, -49190572317207296, -2690359069144032, 2734381401993216, -17108088745280120, -539991449325056, 2435236402817484, 1617264325427200, 20904732031886048, -9850623430443264, -11855645935043856, -975526974988288, -2984047243217640, -61174302358683264, -19660136869054528, -3090628454252544, 19485782412047544, 42427766409885952, 31759767146267136, 17366217742450688, 109213965051777240, 14206785163831296, 117853152207660720, 2954107228782592, 11095701836423904, -10508084429124864, 12727298339479304, -23693899429675008, 17752201029986572, -13769729943375616, -19898438528026062, 13566404791238656, -60350835965431352, -1109745844875072, -115448171219099960, -2616042103865344, 37100751232698504, -28034137738707584, 2163240781900484, -2123078641385472, -22660707187917008, -31647362939910144, -6558993259468416, 4763511454728192, 45030919068460724, 4412948254244352, 31501420369891792, -4915304133820416, -60859847967575040, -7964058440288704, 29358316884517296, -1248429898395648, -14007940964978588, -39104174630477440, 10235507082014664, 2124488393097216, 7178218918906520, 5137717628194560, 14614136048573932, 19127548434018304, 7372064982730788, 32301462929594880, 61306806750443192, 6327717719703552, 43003491243266288, 31007724048270976, 21809488362048540, 7578444234358784, -91604852882713588, 429498111038976, -67697470823053040, -19806178913550336, 8357906044437084, -17304165476427008, -23294161550585984, 10440352203153408, -38460038542192504, 20599060123692160, 47418150017754936, 9012388884185088, 3618700687522740, 25920416737104768, -4812502629149104, 6636056465776640, -47049293525273136, 28261409726854656, 6354569734191952, -962938848411648, -48599503948399604, -18194671353569280, -154045022353362144, 29189451666137088, -130916115659201496, -19201261224905280, 54276393128096136, -43176042120085504, 7163606910949038, -46365533031638528, 94372908584529912, 27975268021026816, 16164827266036144, 14968136778765952, 67066144719880770, -7058910022205440, 252128376926543616, -3328154619425280, 84489044224444976, -1644268144803840, 4380669807739668, 28063102185879488, -39152592809673468, 18776454524043264, -91006540083823794, -88849855901207040, -5711492320214040, 6319632192260096, -112291177794450360, 2746320906792960, -136278053102267232, -360090058096640, 99878640818991840, 3596120901076864, -49545799864934136, 3942028492038144, -42443297018219724, 116796532509038592, 1828926768420324, -28805039181529088, 14865076612206168, -31690865575218240, 51809489082218364, 14519257349136384, -56766913064450640, 55421255954236032, -28158668253278712, -5770921553952768, -73305920402139014, -48861524775863296, 48536907027302664, -69461662683201536, 41490666886155368, 459668268866304, -104596104049135976, -11290648724242432, 17716694190820884, -23837261792874368, 66187073796426960, 22903418795968512, 46646085520242160, 22867828609467392, -3230986174678224, -1588333062914048, -103609639197650748, -41392480423537152, 124462581377139452, 86666226737045504, -32863490426543400, -36772521368457728, -83186340355264700, -4076662479519744, 1582164482956148, -8983149561610752, 70588161716264064, -63411695126175744, -99401023856968052, 40359682315042560, 178598267960996352, 54659177506668544, 25921775731299840, 121650316827991552, 315556278248608, -16544721587318784, 17031678813362160, -77857783327945984, -168467665977380772, -16221398499196928, -365806154856360376, -15784418094303168, 98627875826027304, 17509892915810304, 42467820675809076, 116214156204425216, 118939579915734200, 4891714347073536, 23701948662760988, -15747351901934080, 1093806101128032, -3625305219254272, 452822883781154888, 17299820294251776, -35843864907326764, 39877579124506624, 5872577640974064, 58563838321377088, -51080124348669768, 0, 126390863275535228, 86161659804548352, -14748080258272464, -21982909216849920, -129652820271657780, 1667862500323968, -387239716139662872, -121496054867628032, -40128901455220200, 33629172525936576, 119726398673008392, -4300907393581056, -49900034100752524, -48106899129468160, 19822063834672776, 56625988286545920, 4291464569028328, 1925554180106880, 100960193223704150, -12601497799884800, -113758052758709472, 45294693371400448, -186521172330084688, -18018017390389248, 174320654176185644, -49671882534361600, 19286969872893444, 115260265464201216], 'weight': 12, 'weight_parity': 1}
-
mf_twists_cc • Show schema
Hide schema
-
id: 43226188
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511073961345066, 'source_is_minimal': True, 'source_label': '42.12.e.d.37.3', 'source_level': 42, 'target_conrey_index': 37, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511073961345066, 'target_is_minimal': True, 'target_label': '42.12.e.d.37.3', 'target_level': 42, 'twist_class_label': '42.12.e.d.25.3', 'twist_class_level': 42, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 12}
-
id: 43226189
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511073961345066, 'source_is_minimal': True, 'source_label': '42.12.e.d.37.3', 'source_level': 42, 'target_conrey_index': 37, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511211400298622, 'target_is_minimal': False, 'target_label': '126.12.g.d.37.2', 'target_level': 126, 'twist_class_label': '42.12.e.d.25.3', 'twist_class_level': 42, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 12}
-
id: 43226190
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511073961345066, 'source_is_minimal': True, 'source_label': '42.12.e.d.37.3', 'source_level': 42, 'target_conrey_index': 25, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511073961345066, 'target_is_minimal': True, 'target_label': '42.12.e.d.25.3', 'target_level': 42, 'twist_class_label': '42.12.e.d.25.3', 'twist_class_level': 42, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 12}
-
id: 43226191
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511073961345066, 'source_is_minimal': True, 'source_label': '42.12.e.d.37.3', 'source_level': 42, 'target_conrey_index': 109, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511211400298622, 'target_is_minimal': False, 'target_label': '126.12.g.d.109.2', 'target_level': 126, 'twist_class_label': '42.12.e.d.25.3', 'twist_class_level': 42, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 12}
-
mf_hecke_charpolys • Show schema
Hide schema
-
id: 144675
{'charpoly_factorization': [[[1024, -32, 1], 4]], 'hecke_orbit_code': 13511073961345066, 'p': 2}
-
id: 144676
{'charpoly_factorization': [[[59049, -243, 1], 4]], 'hecke_orbit_code': 13511073961345066, 'p': 3}
-
id: 144677
{'charpoly_factorization': [[[572709007392976988192990250000, 475702305839835662956950000, 298712016882146605297500, 82233088098744307500, 17880676262704125, 1076271246300, 129418525, 1420, 1], 1]], 'hecke_orbit_code': 13511073961345066, 'p': 5}
-
id: 144678
{'charpoly_factorization': [[[15286700631942576193765185769276826401, 513044205227225433510785859037334, 6812511340179336789453946588, -132697402733953523598776, -8188710624406433611, -67109496801032, 1742410012, 66362, 1], 1]], 'hecke_orbit_code': 13511073961345066, 'p': 7}
-
id: 144679
{'charpoly_factorization': [[[26109396574916547461229188496155029753130256, -365587981231837536713812146247877398128, 5064773961948980195435285473365564, -9568383535886444991755194716, 56674064582314089476445, 152245767007290234, 732361911319, 861962, 1], 1]], 'hecke_orbit_code': 13511073961345066, 'p': 11}
-
id: 144680
{'charpoly_factorization': [[[932627835008761150151904, 288151019294076796, -2086147178775, -418374, 1], 2]], 'hecke_orbit_code': 13511073961345066, 'p': 13}
-
id: 144681
{'charpoly_factorization': [[[1506393482653015513310214262394422232321819395856793600, 656815695110327936788780005185616744229872599040, 422539007862397968861396568139608393383936, -45502357849951217785124583703191552, 14101440534401100848027375616, -443758152158445763968, 142832236305136, -5647852, 1], 1]], 'hecke_orbit_code': 13511073961345066, 'p': 17}
-
id: 144682
{'charpoly_factorization': [[[389107921369723101131860868329640220638171377109385339904, -129513495569306949510745420170619919849328677951104, 36124332291547731139837819281085942656290416, -2982172684803393133005900861925464868, 254517059528239857830036149849, -7229846384861227416466, 631894048024531, -16668730, 1], 1]], 'hecke_orbit_code': 13511073961345066, 'p': 19}
-
id: 144683
{'charpoly_factorization': [[[1284320392249462777161960566369839467668768950799302656, 4800798121628478927385471157808168420185298960384, 16889678844829061922993194981615369971630080, 3813651094958244628230452913291902976, 618689181064024866202776198144, 46067817164028157322496, 2496071627978320, 58546124, 1], 1]], 'hecke_orbit_code': 13511073961345066, 'p': 23}
-
id: 144684
{'charpoly_factorization': [[[202838861650423289131381868641008, 1590524515288903178729160, -42309251737867713, -41676496, 1], 2]], 'hecke_orbit_code': 13511073961345066, 'p': 29}
-
id: 144685
{'charpoly_factorization': [[[670841885961607939905444553259115883773576383216437349022155025, -153658537713080235560741044660557707489545378371847208550, 36254221354940642680282725331506308806215139312300, 234978999658387137381465052137328731331620, 2492255430990870840474394189339725, 6019384436927285865894500, 61329153061148124, 143079978, 1], 1]], 'hecke_orbit_code': 13511073961345066, 'p': 31}
-
id: 144686
{'charpoly_factorization': [[[555868279794129881863867243292118809306305411325608927333621526953984, 3769755542443253239349308070102243933130185384529337401190400, 26078925237483663013229727758715733668676922760213904, 43456982737861327766124431029092259259819756, 183214566836635009376344385224626121, 341461308372231140458106618, 969129941383008019, 995442674, 1], 1]], 'hecke_orbit_code': 13511073961345066, 'p': 37}
-
id: 144687
{'charpoly_factorization': [[[41576459819739653436770590345320192, 257047046274763731980818944, -339033513613469724, -855547980, 1], 2]], 'hecke_orbit_code': 13511073961345066, 'p': 41}
-
id: 144688
{'charpoly_factorization': [[[52266510640641499077184203930535924, -2353542055153687391892396908, -2248764490759479555, 1257348538, 1], 2]], 'hecke_orbit_code': 13511073961345066, 'p': 43}
-
id: 144689
{'charpoly_factorization': [[[502983517952241186115454733099854125516633596949661147327554130309339040000, -85810567926574954569047142687561346389867510996734313173803065600, 257828041872784794404422506827255327277732571657857859584, 34430671433765184974719875714686464828847200896, 95754449242958103741566168607136920336, 5946078693947281377676403616, 10868176745688108384, 157353996, 1], 1]], 'hecke_orbit_code': 13511073961345066, 'p': 47}
-
id: 144690
{'charpoly_factorization': [[[2926116291593068235044083815772937388259338473253217057961118748850890610944, -3589900504409331101768853446808409509275912073635537877024931374720, 3543481095090435739391414265426317642183794524561970051824, -1413946377750585876426728969739348418785435111624, 526854694254178318183540851706458090801, -80087480041924202185987702632, 26856577264933182609, -3308134056, 1], 1]], 'hecke_orbit_code': 13511073961345066, 'p': 53}
-
id: 144691
{'charpoly_factorization': [[[569977951725699506822333402220353775556816528100639568218995986077542656, -24795143725902248368164117872822465568985692318383532048216565632, 1109551967272769735904031103392854244142233042232176714224, 1364886912771219975810202451946869484315550722216, 1242250724123308315042528324972997641905, 477092152094833645318054821006, 134744701264718903179, 13254951118, 1], 1]], 'hecke_orbit_code': 13511073961345066, 'p': 59}
-
id: 144692
{'charpoly_factorization': [[[1315794809661664038553027616438293767515114336245471095848458114842596870400, -1806578294260639316693283470360828186149565489857165849982811920640, 5815583475888883178354094248310120656680920283623583197184, 4415413556802773910724679985447090662427254046336, 8529816183082712955203385746326355375376, -107914688359763486490181274464, 97038189469241666784, 2257053996, 1], 1]], 'hecke_orbit_code': 13511073961345066, 'p': 61}
-
id: 144693
{'charpoly_factorization': [[[21193866118882327885503574354631163551129344961975935243010488378204176828144400, -6745854769128562563084861390251235529835921546951303779973341995800480, 3346561883219633408003387600890306130972194304534329500909076, 311228588391497605220158634496825656585426128948472, 74498270191833382302585996697507317855101, 934821336879903369382385596118, 319215700824682637671, 7660541662, 1], 1]], 'hecke_orbit_code': 13511073961345066, 'p': 67}
-
id: 144694
{'charpoly_factorization': [[[-19116777164597294701877009527110982279056, 5414607503246735464877390904912, -192846538810474171680, -20578060052, 1], 2]], 'hecke_orbit_code': 13511073961345066, 'p': 71}
-
id: 144695
{'charpoly_factorization': [[[1625524586730276360200818287863732814036288078180980425169726421849527395542660496, 403162097272993767575131451843061111572980954950323830674267385671964624, 84376671125809327432754858481321238591798471658871967915314796, 5703566453160197449338396091628706771889946150289092, 417341798527365030823283076663428050432205, 11206347690460519651480962993158, 902709704532766943791, 22702426966, 1], 1]], 'hecke_orbit_code': 13511073961345066, 'p': 73}
-
id: 144696
{'charpoly_factorization': [[[102374942163080995217628363396462071110419589541771901382550593982433711964574481201, -2430189434754502641061855760137479024673059265205755695806307041850508074, 554809169793263142059155799073242131353633277072689007716777916, 13948099392606708609529423107645859100592696328103388, 2068514691830230534792005386638591781086365, 20404251717782572534152496355612, 1564953945020959297356, -3355687386, 1], 1]], 'hecke_orbit_code': 13511073961345066, 'p': 79}
-
id: 144697
{'charpoly_factorization': [[[-533823510565640773490042470125656336054652, -62424717600020479131446133354900, 2042643947861688231693, 108932836342, 1], 2]], 'hecke_orbit_code': 13511073961345066, 'p': 83}
-
id: 144698
{'charpoly_factorization': [[[184719127691829027324223087367991416404258186104650199872418196535818321727166873600, -44950357524782277755588253699848550391297466033839552982887209017526190080, 11663532652235808245415299811040355515703789736511323949979295744, 76913472027074176801740423912382697835147971949974016, 15387442771475261153633898590204589239991696, -404545607521559798567032622466144, 11722583323513169283924, -115800374664, 1], 1]], 'hecke_orbit_code': 13511073961345066, 'p': 89}
-
id: 144699
{'charpoly_factorization': [[[3325027683172020773685226708534475889794948, 404623355884532159621909060771860, 15328356631474801156437, 216795280454, 1], 2]], 'hecke_orbit_code': 13511073961345066, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 4, 'label': '42.12.e.d', 'level': 42, 'portrait': 'data:image/png;base64,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', 'weight': 12}
-
mf_hecke_traces • Show schema
Hide schema
Showing the first 100 of 258 matching records in this table.
-
id: 36567865
{'hecke_orbit_code': 13511073961345066, 'n': 1, 'trace_an': 8}
-
id: 36567866
{'hecke_orbit_code': 13511073961345066, 'n': 2, 'trace_an': 128}
-
id: 36567867
{'hecke_orbit_code': 13511073961345066, 'n': 3, 'trace_an': 972}
-
id: 36567868
{'hecke_orbit_code': 13511073961345066, 'n': 4, 'trace_an': -4096}
-
id: 36567869
{'hecke_orbit_code': 13511073961345066, 'n': 5, 'trace_an': -1420}
-
id: 36567870
{'hecke_orbit_code': 13511073961345066, 'n': 6, 'trace_an': 62208}
-
id: 36567871
{'hecke_orbit_code': 13511073961345066, 'n': 7, 'trace_an': -66362}
-
id: 36567872
{'hecke_orbit_code': 13511073961345066, 'n': 8, 'trace_an': -262144}
-
id: 36567873
{'hecke_orbit_code': 13511073961345066, 'n': 9, 'trace_an': -236196}
-
id: 36567874
{'hecke_orbit_code': 13511073961345066, 'n': 10, 'trace_an': 45440}
-
id: 36567875
{'hecke_orbit_code': 13511073961345066, 'n': 11, 'trace_an': -861962}
-
id: 36567876
{'hecke_orbit_code': 13511073961345066, 'n': 12, 'trace_an': 995328}
-
id: 36567877
{'hecke_orbit_code': 13511073961345066, 'n': 13, 'trace_an': 836748}
-
id: 36567878
{'hecke_orbit_code': 13511073961345066, 'n': 14, 'trace_an': -1361216}
-
id: 36567879
{'hecke_orbit_code': 13511073961345066, 'n': 15, 'trace_an': -690120}
-
id: 36567880
{'hecke_orbit_code': 13511073961345066, 'n': 16, 'trace_an': -4194304}
-
id: 36567881
{'hecke_orbit_code': 13511073961345066, 'n': 17, 'trace_an': 5647852}
-
id: 36567882
{'hecke_orbit_code': 13511073961345066, 'n': 18, 'trace_an': 7558272}
-
id: 36567883
{'hecke_orbit_code': 13511073961345066, 'n': 19, 'trace_an': 16668730}
-
id: 36567884
{'hecke_orbit_code': 13511073961345066, 'n': 20, 'trace_an': 2908160}
-
id: 36567885
{'hecke_orbit_code': 13511073961345066, 'n': 21, 'trace_an': -5789232}
-
id: 36567886
{'hecke_orbit_code': 13511073961345066, 'n': 22, 'trace_an': -55165568}
-
id: 36567887
{'hecke_orbit_code': 13511073961345066, 'n': 23, 'trace_an': -58546124}
-
id: 36567888
{'hecke_orbit_code': 13511073961345066, 'n': 24, 'trace_an': -31850496}
-
id: 36567889
{'hecke_orbit_code': 13511073961345066, 'n': 25, 'trace_an': -61508150}
-
id: 36567890
{'hecke_orbit_code': 13511073961345066, 'n': 26, 'trace_an': 13387968}
-
id: 36567891
{'hecke_orbit_code': 13511073961345066, 'n': 27, 'trace_an': -114791256}
-
id: 36567892
{'hecke_orbit_code': 13511073961345066, 'n': 28, 'trace_an': 24395776}
-
id: 36567893
{'hecke_orbit_code': 13511073961345066, 'n': 29, 'trace_an': 83352992}
-
id: 36567894
{'hecke_orbit_code': 13511073961345066, 'n': 30, 'trace_an': -11041920}
-
id: 36567895
{'hecke_orbit_code': 13511073961345066, 'n': 31, 'trace_an': -143079978}
-
id: 36567896
{'hecke_orbit_code': 13511073961345066, 'n': 32, 'trace_an': 134217728}
-
id: 36567897
{'hecke_orbit_code': 13511073961345066, 'n': 33, 'trace_an': 209456766}
-
id: 36567898
{'hecke_orbit_code': 13511073961345066, 'n': 34, 'trace_an': 361462528}
-
id: 36567899
{'hecke_orbit_code': 13511073961345066, 'n': 35, 'trace_an': -646766300}
-
id: 36567900
{'hecke_orbit_code': 13511073961345066, 'n': 36, 'trace_an': 483729408}
-
id: 36567901
{'hecke_orbit_code': 13511073961345066, 'n': 37, 'trace_an': -995442674}
-
id: 36567902
{'hecke_orbit_code': 13511073961345066, 'n': 38, 'trace_an': -533399360}
-
id: 36567903
{'hecke_orbit_code': 13511073961345066, 'n': 39, 'trace_an': 101664882}
-
id: 36567904
{'hecke_orbit_code': 13511073961345066, 'n': 40, 'trace_an': 46530560}
-
id: 36567905
{'hecke_orbit_code': 13511073961345066, 'n': 41, 'trace_an': 1711095960}
-
id: 36567906
{'hecke_orbit_code': 13511073961345066, 'n': 42, 'trace_an': -516030912}
-
id: 36567907
{'hecke_orbit_code': 13511073961345066, 'n': 43, 'trace_an': -2514697076}
-
id: 36567908
{'hecke_orbit_code': 13511073961345066, 'n': 44, 'trace_an': -882649088}
-
id: 36567909
{'hecke_orbit_code': 13511073961345066, 'n': 45, 'trace_an': -83849580}
-
id: 36567910
{'hecke_orbit_code': 13511073961345066, 'n': 46, 'trace_an': 1873475968}
-
id: 36567911
{'hecke_orbit_code': 13511073961345066, 'n': 47, 'trace_an': -157353996}
-
id: 36567912
{'hecke_orbit_code': 13511073961345066, 'n': 48, 'trace_an': -2038431744}
-
id: 36567913
{'hecke_orbit_code': 13511073961345066, 'n': 49, 'trace_an': 919095020}
-
id: 36567914
{'hecke_orbit_code': 13511073961345066, 'n': 50, 'trace_an': -3936521600}
-
id: 36567915
{'hecke_orbit_code': 13511073961345066, 'n': 51, 'trace_an': -1372428036}
-
id: 36567916
{'hecke_orbit_code': 13511073961345066, 'n': 52, 'trace_an': -428414976}
-
id: 36567917
{'hecke_orbit_code': 13511073961345066, 'n': 53, 'trace_an': 3308134056}
-
id: 36567918
{'hecke_orbit_code': 13511073961345066, 'n': 54, 'trace_an': -1836660096}
-
id: 36567919
{'hecke_orbit_code': 13511073961345066, 'n': 55, 'trace_an': -1913881520}
-
id: 36567920
{'hecke_orbit_code': 13511073961345066, 'n': 56, 'trace_an': 2174550016}
-
id: 36567921
{'hecke_orbit_code': 13511073961345066, 'n': 57, 'trace_an': 8101002780}
-
id: 36567922
{'hecke_orbit_code': 13511073961345066, 'n': 58, 'trace_an': 1333647872}
-
id: 36567923
{'hecke_orbit_code': 13511073961345066, 'n': 59, 'trace_an': -13254951118}
-
id: 36567924
{'hecke_orbit_code': 13511073961345066, 'n': 60, 'trace_an': 353341440}
-
id: 36567925
{'hecke_orbit_code': 13511073961345066, 'n': 61, 'trace_an': -2257053996}
-
id: 36567926
{'hecke_orbit_code': 13511073961345066, 'n': 62, 'trace_an': -9157118592}
-
id: 36567927
{'hecke_orbit_code': 13511073961345066, 'n': 63, 'trace_an': 2511826362}
-
id: 36567928
{'hecke_orbit_code': 13511073961345066, 'n': 64, 'trace_an': 8589934592}
-
id: 36567929
{'hecke_orbit_code': 13511073961345066, 'n': 65, 'trace_an': -23359571400}
-
id: 36567930
{'hecke_orbit_code': 13511073961345066, 'n': 66, 'trace_an': -6702616512}
-
id: 36567931
{'hecke_orbit_code': 13511073961345066, 'n': 67, 'trace_an': -7660541662}
-
id: 36567932
{'hecke_orbit_code': 13511073961345066, 'n': 68, 'trace_an': 5783400448}
-
id: 36567933
{'hecke_orbit_code': 13511073961345066, 'n': 69, 'trace_an': -28453416264}
-
id: 36567934
{'hecke_orbit_code': 13511073961345066, 'n': 70, 'trace_an': 8760306880}
-
id: 36567935
{'hecke_orbit_code': 13511073961345066, 'n': 71, 'trace_an': 41156120104}
-
id: 36567936
{'hecke_orbit_code': 13511073961345066, 'n': 72, 'trace_an': 7739670528}
-
id: 36567937
{'hecke_orbit_code': 13511073961345066, 'n': 73, 'trace_an': -22702426966}
-
id: 36567938
{'hecke_orbit_code': 13511073961345066, 'n': 74, 'trace_an': 31854165568}
-
id: 36567939
{'hecke_orbit_code': 13511073961345066, 'n': 75, 'trace_an': 14946480450}
-
id: 36567940
{'hecke_orbit_code': 13511073961345066, 'n': 76, 'trace_an': -34137559040}
-
id: 36567941
{'hecke_orbit_code': 13511073961345066, 'n': 77, 'trace_an': 102068213384}
-
id: 36567942
{'hecke_orbit_code': 13511073961345066, 'n': 78, 'trace_an': 6506552448}
-
id: 36567943
{'hecke_orbit_code': 13511073961345066, 'n': 79, 'trace_an': 3355687386}
-
id: 36567944
{'hecke_orbit_code': 13511073961345066, 'n': 80, 'trace_an': -1488977920}
-
id: 36567945
{'hecke_orbit_code': 13511073961345066, 'n': 81, 'trace_an': -13947137604}
-
id: 36567946
{'hecke_orbit_code': 13511073961345066, 'n': 82, 'trace_an': 27377535360}
-
id: 36567947
{'hecke_orbit_code': 13511073961345066, 'n': 83, 'trace_an': -217865672684}
-
id: 36567948
{'hecke_orbit_code': 13511073961345066, 'n': 84, 'trace_an': -10584815616}
-
id: 36567949
{'hecke_orbit_code': 13511073961345066, 'n': 85, 'trace_an': 323492136520}
-
id: 36567950
{'hecke_orbit_code': 13511073961345066, 'n': 86, 'trace_an': -40235153216}
-
id: 36567951
{'hecke_orbit_code': 13511073961345066, 'n': 87, 'trace_an': 10127388528}
-
id: 36567952
{'hecke_orbit_code': 13511073961345066, 'n': 88, 'trace_an': 28244770816}
-
id: 36567953
{'hecke_orbit_code': 13511073961345066, 'n': 89, 'trace_an': 115800374664}
-
id: 36567954
{'hecke_orbit_code': 13511073961345066, 'n': 90, 'trace_an': -5366373120}
-
id: 36567955
{'hecke_orbit_code': 13511073961345066, 'n': 91, 'trace_an': -48616475886}
-
id: 36567956
{'hecke_orbit_code': 13511073961345066, 'n': 92, 'trace_an': 119902461952}
-
id: 36567957
{'hecke_orbit_code': 13511073961345066, 'n': 93, 'trace_an': 34768434654}
-
id: 36567958
{'hecke_orbit_code': 13511073961345066, 'n': 94, 'trace_an': 5035327872}
-
id: 36567959
{'hecke_orbit_code': 13511073961345066, 'n': 95, 'trace_an': 32246896960}
-
id: 36567960
{'hecke_orbit_code': 13511073961345066, 'n': 96, 'trace_an': -32614907904}
-
id: 36567961
{'hecke_orbit_code': 13511073961345066, 'n': 97, 'trace_an': -433590560908}
-
id: 36567962
{'hecke_orbit_code': 13511073961345066, 'n': 98, 'trace_an': -80526496576}
-
id: 36567963
{'hecke_orbit_code': 13511073961345066, 'n': 99, 'trace_an': 101795988276}
-
id: 36567964
{'hecke_orbit_code': 13511073961345066, 'n': 100, 'trace_an': -62984345600}