# Stored data for newform 432.8.a.q, downloaded from the LMFDB on 10 August 2026.
{"Nk2": 27648, "analytic_conductor": 134.9503310091406, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -1]], "atkin_lehner_string": "--", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [432, 1, [271, 325, 353], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 65, "field_disc_factorization": [[5, 1], [13, 1]], "field_poly": [-16, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[5, [7515, -180, 1]], [7, [-1062125, 700, 1]]], "hecke_orbit": 17, "hecke_orbit_code": 72057594172146096, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 6, "hecke_ring_index_factorization": [[2, 1], [3, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "432.8.a.q", "level": 432, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3], "level_radical": 6, "minimal_twist": "27.8.a.b", "nf_label": "2.2.65.1", "prim_orbit_index": 1, "qexp_display": "q+(90-\\beta )q^{5}+(-350+45\\beta )q^{7}+(-5445+\\cdots)q^{11}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "7.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "432.8.a", "trace_display": [0, 0, 180, -700], "trace_hash": 25062474409149022, "trace_moments": [{"__RealLiteral__": 0, "data": "0.002", "prec": 4}, {"__RealLiteral__": 0, "data": "1.928", "prec": 14}, {"__RealLiteral__": 0, "data": "0.159", "prec": 10}, {"__RealLiteral__": 0, "data": "9.094", "prec": 14}, {"__RealLiteral__": 0, "data": "2.712", "prec": 14}, {"__RealLiteral__": 0, "data": "58.932", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 4}, "traces": [0, 2, 0, 0, 0, 180, 0, -700, 0, 0, 0, -10890, 0, -5480, 0, 0, 0, 16416, 0, -16024, 0, 0, 0, -24372, 0, -138880, 0, 0, 0, -143280, 0, 38708, 0, 0, 0, -115650, 0, 455620, 0, 0, 0, 731880, 0, 1088840, 0, 0, 0, -1561500, 0, 967164, 0, 0, 0, 2610468, 0, -1003500, 0, 0, 0, -1731960, 0, -620192, 0, 0, 0, -914400, 0, -346600, 0, 0, 0, 4242240, 0, -3145190, 0, 0, 0, 4864500, 0, -10110616, 0, 0, 0, -644202, 0, 101520, 0, 0, 0, 6021000, 0, 20872000, 0, 0, 0, -747180, 0, 4098670, 0, 0, 0, -1143900, 0, -5643640, 0, 0, 0, 8144550, 0, -11430284, 0, 0, 0, -16651800, 0, -5272920, 0, 0, 0, 56170800, 0, 20789708, 0, 0, 0, -26351100, 0, 6909260, 0, 0, 0, 27765270, 0, -25665700, 0, 0, 0, 34179336, 0, -62594272, 0, 0, 0, 38262600, 0, -13047300, 0, 0, 0, 52275420, 0, 42000644, 0, 0, 0, 11707650, 0, 65868760, 0, 0, 0, 147105000, 0, 40336160, 0, 0, 0, 68164236, 0, 41150166, 0, 0, 0, 152548308, 0, 39131000, 0, 0, 0, 111214890, 0, -129473168, 0, 0, 0, 28369800, 0, -61866720, 0, 0, 0, 3924360, 0, 160283890, 0, 0, 0, 142645644, 0, 210671852, 0, 0, 0, 56992500, 0, 54999900, 0, 0, 0, 73351080, 0, -123652648, 0, 0, 0, 83569500, 0, -383624650, 0, 0, 0, 450351360, 0, -246554440, 0, 0, 0, 49326696, 0, -150511796, 0, 0, 0, 519733800, 0, -118978920, 0, 0, 0, 298942740, 0, 179255788, 0, 0, 0, 123899760, 0, -206287040, 0, 0, 0, 471435120, 0, 194294340, 0, 0, 0, -127159344, 0, 409153000, 0, 0, 0, 538659900, 0, 251695350, 0, 0, 0, -554085360, 0, -190104628, 0, 0, 0, 751989600, 0, -509031920, 0, 0, 0, 12885840, 0, 799116920, 0, 0, 0, 232960500, 0, 932147102, 0, 0, 0, 882373248, 0, -213066000, 0, 0, 0, 1175377680, 0, 268080500, 0, 0, 0, -69379920, 0, 30047360, 0, 0, 0, -353352420, 0, -1433898110, 0, 0, 0, 1102521924, 0, 783201600, 0, 0, 0, -948821472, 0, 304715200, 0, 0, 0, -423498600, 0, -765713464, 0, 0, 0, -25402500, 0, -262038860, 0, 0, 0, -375243660, 0, -1420502300, 0, 0, 0, 93422250, 0, 773319724, 0, 0, 0, -159949800, 0, 518972400, 0, 0, 0, 278951580, 0, -1246541070, 0, 0, 0, -167447700, 0, -291391900, 0, 0, 0, -1667559150, 0, -319469840, 0, 0, 0, 447343200, 0, -98734144, 0, 0, 0, -1543298688, 0, 732674250, 0, 0, 0, -1557653940, 0, 3421376064, 0, 0, 0, -1031724360, 0, 2681167000, 0, 0, 0, 22104000, 0, -3066674720, 0, 0, 0, -2228130900, 0, 1682970814, 0, 0, 0, 3179718000, 0, 6891300, 0, 0, 0, -1388851560, 0, -3707962688, 0, 0, 0, -1387592640, 0, 827386000, 0, 0, 0, -630972180, 0, -905205830, 0, 0, 0, -1633918896, 0, 1026705404, 0, 0, 0, -4008286008, 0, 462669300, 0, 0, 0, -5915968920, 0, -3767700600, 0, 0, 0, 2170161000, 0, -3972715490, 0, 0, 0, -188615700, 0, -694561780, 0, 0, 0, 2183879286, 0, -139307500, 0, 0, 0, -5640211800, 0, 1237802960, 0, 0, 0, 2411590500, 0, 3300561200, 0, 0, 0, -243123300, 0, 592448360, 0, 0, 0, -2664949590, 0, -997172640, 0, 0, 0, -7657470000, 0, 6705458504, 0, 0, 0, -3861376812, 0, -579708450, 0, 0, 0, -2654396820, 0, -4102056500, 0, 0, 0, -445590000, 0, 8071245900, 0, 0, 0, -7741204560, 0, 2823739520, 0, 0, 0, -9353626416, 0, 1592432378, 0, 0, 0, 1907596800, 0, 69282540, 0, 0, 0, -6003307980, 0, -5727378776, 0, 0, 0, -471983400, 0, -4900977520, 0, 0, 0, 1057611960, 0, 9018317000, 0, 0, 0, 3756858300, 0, 2209974400, 0, 0, 0, 4222413450, 0, -1796565060, 0, 0, 0, 2448642240, 0, 6078880592, 0, 0, 0, 1138092480, 0, -10834883060, 0, 0, 0, -2693655900, 0, -14549062860, 0, 0, 0, 426422574, 0, 4574885924, 0, 0, 0, -10241362008, 0, 5104792800, 0, 0, 0, -5123240460, 0, -5243632418, 0, 0, 0, 2125899720, 0, 1701832760, 0, 0, 0, -3481678800, 0, -8834605700, 0, 0, 0, 7243038216, 0, -8878296688, 0, 0, 0, 1457581500, 0, 8324703950, 0, 0, 0, 18599664960, 0, 1233709412, 0, 0, 0, 1256634450, 0, -15917829360, 0, 0, 0, -5273231400, 0, -718133680, 0, 0, 0, -2139636384, 0, 10574314200, 0, 0, 0, 22137401268, 0, 1126979100, 0, 0, 0, -13819785390, 0, 16776222796, 0, 0, 0, -2131324200, 0, 2146337280, 0, 0, 0, 3648198240, 0, -19834515110, 0, 0, 0, 14494942800, 0, 26105627500, 0, 0, 0, 16019889912, 0, 4290518340, 0, 0, 0, -13183845120, 0, -11115998512, 0, 0, 0, -6441135480, 0, 18789567840, 0, 0, 0, 7792671420, 0, -11156211440, 0, 0, 0, 21854450250, 0, -1140888728, 0, 0, 0, -22117079448, 0, 5801184000, 0, 0, 0, 7893839880, 0, -829918000, 0, 0, 0, 9921985200, 0, 7446362420, 0, 0, 0, 25902292320, 0, 243990100, 0, 0, 0, 1771407000, 0, -11341059664, 0, 0, 0, 22038370200, 0, 3999938850, 0, 0, 0, 27017120700, 0, 14958050228, 0, 0, 0, 2232411210, 0, 2026422580, 0, 0, 0, -23866878240, 0, -21052797800, 0, 0, 0, 25333826400, 0, 760527226, 0, 0, 0, 2786352912, 0, -1207576120, 0, 0, 0, -12320186760, 0, -25842412800, 0, 0, 0, 5534787600, 0, 13035285440, 0, 0, 0, 19233767700, 0, 6581876480, 0, 0, 0, 44886691044, 0, -38166742080, 0, 0, 0, 14813171550, 0, 14958846900, 0, 0, 0, 4401420120, 0, 2132801384, 0, 0, 0, 2507545800, 0, -17292889480, 0, 0, 0, 33506709840, 0, 31158371060, 0, 0, 0, -2137638816, 0, -22001959868, 0, 0, 0, -35402997888, 0, 9654759000, 0, 0, 0, -2519844480, 0, -24215400418, 0, 0, 0, 6011690940, 0, -18743567800, 0, 0, 0, 27705766680, 0, 37959171820, 0, 0, 0, -3443572944, 0, 43715937824, 0, 0, 0, 946338552, 0, 14852553570, 0, 0, 0, 57487682520, 0, -1135256000, 0, 0, 0, 16139252250, 0, 42869370340, 0, 0, 0, -8827863840, 0, -26336549560, 0, 0, 0, 17803483704, 0, -30984288250, 0, 0, 0, 25315049520, 0, 6210818100, 0, 0, 0, -3842152020, 0, 1724922864, 0, 0, 0, -15091346160, 0, 4890484280, 0, 0, 0, 11535994260, 0, 2210290290, 0, 0, 0, 52017439500, 0, -46154386012, 0, 0, 0, -61005225600, 0, -33912732800, 0, 0, 0, -26766900000, 0, 14142952032, 0, 0, 0, 1731812400, 0, 8942486710, 0, 0, 0, 13762832220, 0, 19689307920, 0, 0, 0, -72126906606, 0, -33005163400, 0, 0, 0, -8221165200, 0, -5155635600, 0, 0, 0, -66609782100, 0, 3529930380, 0, 0, 0, 15526356300, 0, -58980223540, 0, 0, 0, 8215958790, 0, 58252290200, 0, 0, 0, -14395577400, 0, -31199931000, 0, 0, 0, -24269911452, 0, 11216463390, 0, 0, 0, 24700890960, 0, 4443665252, 0, 0, 0, 13867368930, 0, -64860399560, 0, 0, 0, -119481660000, 0, 53039041920, 0, 0, 0, -10963650996, 0, -29694387434, 0, 0, 0, 10280765232, 0, 8954406000, 0, 0, 0, 19755322650, 0, 45058052188, 0, 0, 0, -52778221200, 0, 71539899040, 0, 0, 0, 67982110740, 0, 16868971060, 0, 0, 0, 10859128704, 0, 6185867156, 0, 0, 0, 13421805750, 0, 3004911900, 0, 0, 0, -100930525560, 0, -50975720152, 0, 0, 0, -17259872940, 0, 54943878350, 0, 0, 0, -19846452060, 0, 104952860060, 0, 0, 0, -10077186150, 0, 90006725248, 0, 0, 0, -30997936800, 0, -78205747600, 0, 0, 0, -21587899320, 0, -37707163560, 0, 0, 0, -38423582100, 0, 62197434740, 0, 0, 0, 28757344590, 0, -74784653540, 0, 0, 0, -77863788000, 0, -5351030000, 0, 0, 0, -90081190008, 0, 40844433600, 0, 0, 0, 4337502300, 0, 15763684500, 0, 0, 0, -21338443800, 0, -129807393620, 0, 0, 0, -20094158880, 0, -70776172240, 0, 0, 0, -108788220504, 0, -41417116946, 0, 0, 0, 29482867800, 0, 5467907520, 0, 0, 0, -9655696800, 0, 36404231000, 0, 0, 0, -15850531080, 0, -80000374520, 0, 0, 0, -51783770340, 0, 36356800900, 0, 0, 0, 12021912000, 0, -3087229856, 0, 0, 0, -9732567078, 0, 42345474300, 0, 0, 0, -182256481800, 0, 51266461928, 0, 0, 0, 112310654400, 0, -31072535550, 0, 0, 0, -2870299980, 0, -118270478100, 0, 0, 0, -109357469496, 0, -51018874200, 0, 0, 0, -51106508208, 0, 15792280200, 0, 0, 0, 51103053180, 0, -28638341882, 0, 0, 0, 19020936600, 0, -126492554880, 0, 0, 0, -103936171050, 0, -20041827860, 0, 0, 0, -31172371200, 0, -75905664408, 0, 0, 0, -147475819800, 0, -60525968160, 0, 0, 0, -26435158740, 0, 126483867884, 0, 0, 0, -17095424400, 0, 47072325520, 0, 0, 0, -161784133920, 0, 96627112200, 0, 0, 0, -76129104600, 0, 101419230274, 0, 0, 0, 132008278500, 0, 53002263600, 0, 0, 0, 7099813890, 0, 209090940200, 0, 0, 0, 34539193800, 0, 200059855600, 0, 0, 0, -62235504180, 0, 6217110200, 0, 0, 0, 192304962000, 0, 16284321032, 0, 0, 0, 7013077398, 0, -9781972200, 0, 0, 0, 55881003960, 0, -96398816896, 0, 0, 0, 29252173500, 0, 48866052010, 0, 0, 0, 9882620640, 0, 57544277420, 0, 0, 0, -71310747150, 0, -306838422000, 0, 0, 0, 174766968000, 0, 57190303080, 0, 0, 0, -91258663680, 0, 65977730962, 0, 0, 0, -178255316520, 0, -198307034200, 0, 0, 0, 93918812130, 0, -80327647540, 0, 0, 0, 246523734000, 0, -6977962400, 0, 0, 0, 60212313792, 0, -37406164500, 0, 0, 0, 47490628320, 0, -105635640500, 0, 0, 0, -11476382490, 0, 171628691760, 0, 0, 0, -46575712440, 0, 109063569600, 0, 0, 0, 160133171724, 0, 50399837934, 0, 0, 0, -93011130288, 0, 146555680500, 0, 0, 0, 23048030250, 0, -197720085716, 0, 0, 0, -42450854400, 0, 93877185880, 0, 0, 0, 216625638600, 0, 155454250550, 0, 0, 0, -50316941700, 0, -195618173464, 0, 0, 0, 43254528192, 0, -904762800, 0, 0, 0, -53249330160, 0, -81574118496, 0, 0, 0, 71753201100, 0, -169108199440, 0, 0, 0, -74078778960, 0, -165844564600, 0, 0, 0, 134521809246, 0, 167262832096, 0, 0, 0, 91584680112, 0, 5503959000, 0, 0, 0, 136423693260, 0, -123743991150, 0, 0, 0, 61306136460, 0, 91029029240, 0, 0, 0, 233816772600, 0, -89550669860, 0, 0, 0, 121296415320, 0, 8529458864, 0, 0, 0, 136177960500, 0, 77250376980, 0, 0, 0, 152871033600, 0, 83104879256, 0, 0, 0, 109973174400, 0, 319179484700, 0, 0, 0, -58181534640, 0, -26360072440, 0, 0, 0, -175034504376, 0, -249186055364, 0, 0, 0, -5343412752, 0, 119354400000, 0, 0, 0, -185732661870, 0, 8675516912, 0, 0, 0, 512667000, 0, -210394046520, 0, 0, 0, 287548843320, 0, 142583911200, 0, 0, 0, 284118022800, 0, 277772287056, 0, 0, 0, 165258545400, 0, 40624857280, 0, 0, 0, 356978831040, 0, -208426876312, 0, 0, 0, 17082766800, 0, -189191847420, 0, 0, 0, -11019560400, 0, -6434892460, 0, 0, 0, -171699480000, 0, 165110863936, 0, 0, 0, -65699103600, 0, -36940545000, 0, 0, 0, 287162763480, 0, 47978543000, 0, 0, 0, -140604977700, 0, -121801367740, 0, 0, 0, 306151086870, 0, -148701159920, 0, 0, 0, 43693817544, 0, 21911970392, 0, 0, 0, -133339753368, 0, 92541306510, 0, 0, 0, -63547063200, 0, 403850520400, 0, 0, 0, 72992704500, 0, -418316637320, 0, 0, 0, 206782104960, 0, 156380253400, 0, 0, 0, 3512639556, 0, 208577632786, 0, 0, 0, 229239975132, 0, -68665665600, 0, 0, 0, 112396279590, 0, 63014771992, 0, 0, 0, 127532952000, 0, -165111244720, 0, 0, 0, 17468716500, 0, -412729482240, 0, 0, 0, -409077673596, 0, -270542682900, 0, 0, 0, 168281451342, 0, -4553014500, 0, 0, 0, 753358116960, 0, -247459750400, 0, 0, 0, -61465816260, 0, 29244665650, 0, 0, 0, -197740571580, 0, 163507664540, 0, 0, 0, -228995925534, 0, 292571632684, 0, 0, 0, 395435529000, 0, 25110374000, 0, 0, 0, -265982975460, 0, -20708583562, 0, 0, 0, 30067273800, 0, -192695731400, 0, 0, 0, -95297347800, 0, -305831539040, 0, 0, 0, 548828556624, 0, 317782646192, 0, 0, 0, 417805432200, 0, -79004111850, 0, 0, 0, 235549935360, 0, 131512262400, 0, 0, 0, -122845510350, 0, 551277630000, 0, 0, 0, -320470200, 0, -64896673600, 0, 0, 0, -350787382200, 0, 6032050000, 0, 0, 0, -51833242800, 0, 13022243820, 0, 0, 0, -588530979000, 0, 199830715552, 0, 0, 0, 28481568120, 0, 777235859600, 0, 0, 0, -119632014720, 0, 183113896570, 0, 0, 0, -640791918000, 0, -46161572284, 0, 0, 0, 532468578600, 0, -21199741020, 0, 0, 0, 46193698080, 0, -835374663000, 0, 0, 0, -269890401600, 0, 182206338130, 0, 0, 0, -530827496640, 0, -311746133380, 0, 0, 0, 378488945574, 0, 126150735904, 0, 0, 0, -197176219200, 0, 5921386200, 0, 0, 0, -30300823800, 0, -44122503722, 0, 0, 0, -123325055820, 0, 462262665280, 0, 0, 0, 395609887800, 0, -177704369160, 0, 0, 0, 443703764016, 0, 847393371360, 0, 0, 0, 25196463000, 0, 239213485600, 0, 0, 0, -435506052240, 0, -324626899492, 0, 0, 0, -54137931750, 0, -441553820220, 0, 0, 0, -580522008600, 0, -396368682440, 0, 0, 0, -321016212756, 0, 227022863586, 0, 0, 0, -748548551232, 0, -224664524100, 0, 0, 0, -270226173870, 0, -539109056828, 0, 0, 0, -49525027200, 0, 416479749560, 0, 0, 0, 74247775740, 0, -429607857650, 0, 0, 0, -410921354700, 0, 91775899784, 0, 0, 0, -366838429500, 0, 70852410000, 0, 0, 0, -292587305760, 0, -107334992528, 0, 0, 0, -50157144360, 0, -186949911550, 0, 0, 0, -717448579920, 0, -853089654060, 0, 0, 0, -562461516594, 0, -162886225788, 0, 0, 0, 571937734800, 0, -128628437760, 0, 0, 0, -274028998500, 0, 213656024160, 0, 0, 0, -284714415000, 0, -771671293200, 0, 0, 0, -120866838030, 0, 150026944300, 0, 0, 0, 110510971200, 0, 26870344000, 0, 0, 0, 24077529000, 0, -167402721150, 0, 0, 0, 6091762320, 0, 678525114332, 0, 0, 0, 299414763360, 0, 82245378080, 0, 0, 0, 413755831080, 0, 442071065440, 0, 0, 0, 88391934000, 0, -529594636050, 0, 0, 0, -381821460300, 0, 680162769440, 0, 0, 0, -251503809570, 0, -272161445500, 0, 0, 0, 285182276400, 0, -721442712760, 0, 0, 0, 773756620560, 0, 302701006900, 0, 0, 0, -396994257756, 0, -256251879292, 0, 0, 0, -484080674562, 0, -114884958600, 0, 0, 0, 11541044160, 0, 330314763752, 0, 0, 0, -306686197800, 0, 827982911830, 0, 0, 0, -1115898296400, 0, 690168136700, 0, 0, 0, -405688509000, 0, 826822009756, 0, 0, 0, -459507948840, 0, -137059515000, 0, 0, 0, -730986855120, 0, -38856114400, 0, 0, 0, 147718861740, 0, 135136976400, 0, 0, 0, -211485946500, 0, 83036220880, 0, 0, 0, -129033452736, 0, -321746277600, 0, 0, 0, -573747407928, 0, 351784827000, 0, 0, 0, -519255709380, 0, 422284278448, 0, 0, 0, 56409893280, 0, 34000357100, 0, 0, 0, 1202154685560, 0, 201471901280, 0, 0, 0, 41054341536, 0, 37467861844, 0, 0, 0, -1022050584000, 0, -105365959200, 0, 0, 0, 246978063270, 0, 88808419800, 0, 0, 0, -319441415760, 0, 72121274880, 0, 0, 0, -431642197800, 0, -224336118620, 0, 0, 0, 210290889600, 0, 293654017600, 0, 0, 0, -894761905050, 0, -35542098000, 0, 0, 0, 819072444600, 0, -1065826791808, 0, 0, 0, 95538218400, 0, -827574534350, 0, 0, 0, 778734355860, 0, -135629379580, 0, 0, 0, -43540196040, 0, -657549274000, 0, 0, 0, 153881096688, 0, 6243820200, 0, 0, 0, -689814828720, 0, 444255704734, 0, 0, 0, -159730854300, 0, -744272640180, 0, 0, 0, -1453962000240, 0, 799637153220, 0, 0, 0, 354920571000, 0, 87176397704, 0, 0, 0, 223089872400, 0, -130849253640, 0, 0, 0, -1045246279140, 0, 1021800989500, 0, 0, 0, 217899447210, 0, -599832941680, 0, 0, 0, 1046277866160, 0, -1484099306800, 0, 0, 0, -805833925200, 0, 603044101994, 0, 0, 0, 1386563214132, 0, -349771861440, 0, 0, 0, -85027674150, 0, -928728634844, 0, 0, 0, -432357966000, 0, 1841246091360, 0, 0, 0, 1560847082580, 0, -386825782500, 0, 0, 0, -490175607600, 0, 240945412988, 0, 0, 0, 677456953200, 0, -553318789500, 0, 0, 0, -822336469920, 0, 307133124656, 0, 0, 0, -288472711500, 0, 5190572480, 0, 0, 0, -420684494400, 0, 751816755340, 0, 0, 0, 483428343150, 0, 859687039444, 0, 0, 0, 29254924728, 0, -1396849100000, 0, 0, 0, 1214623662660, 0, 188988026986, 0, 0, 0, -362869625700, 0, -1634799568900, 0, 0, 0, 740154489840, 0, -14149934300, 0, 0, 0, 692009067024, 0, -15200496496, 0, 0, 0, -76096773000, 0, 73913656050, 0, 0, 0, -1088824818060, 0, 1989785874872, 0, 0, 0, -156873733650, 0, -67178085100, 0, 0, 0, 795911360760, 0, 1268765173800, 0, 0, 0, 1062739121400, 0, -1147564655712, 0, 0, 0, 150267161700, 0, 185328381780, 0, 0, 0, 1612346343480, 0, 1288133651668, 0, 0, 0, -5440455000, 0, -172543835320, 0, 0, 0, -658012093380, 0, 1592710454720, 0, 0, 0, -432262365264, 0, -2322571103000, 0, 0, 0, 436023791424, 0, -441808375500, 0, 0, 0, -95299166160, 0, 541890900944, 0, 0, 0, 119828965500, 0, -83068004570, 0, 0, 0, 1405500917760, 0, 303709068380, 0, 0, 0, 2166783491250, 0, -147832803188, 0, 0, 0, 1772072939592, 0, 157231387800, 0, 0, 0, 935948430180, 0, -524311686302, 0, 0, 0, 235719576000, 0, 37717598880, 0, 0, 0, -857917121670, 0, 321714832580, 0, 0, 0, 880377283800, 0, -102502058400, 0, 0, 0, -194807137572, 0, -394772292800, 0, 0, 0, -240338646900, 0, -2458419379200, 0, 0, 0, 66985554600, 0, -40788740000, 0, 0, 0, -136667453760, 0, 1579612413400, 0, 0, 0, 215657213400, 0, -1051594600744, 0, 0, 0, 1325459809800, 0, -334885779900, 0, 0, 0, -194862142350, 0, 1647679872420, 0, 0, 0, 7576934400, 0, 853354935320, 0, 0, 0, 362174085900, 0, -679042678340, 0, 0, 0, -161985520944, 0, -141507146000, 0, 0, 0, 1972425333600, 0, -848859048000, 0, 0, 0, -1037361092040, 0, -1729461381480, 0, 0, 0, 647950252140, 0, -289153957320, 0, 0, 0, -100956134880, 0, -764574808540, 0, 0, 0, -1326055924296, 0, -835468090600, 0, 0, 0, 765658467000, 0, -344035253880, 0, 0, 0, 865626118020, 0, 120063277426, 0, 0, 0, -6383925000, 0, 937425552900, 0, 0, 0, 867784613670, 0, 1257979012560, 0, 0, 0, -237765895200, 0, 2166309441536, 0, 0, 0, 49980279348, 0, -277540819650, 0, 0, 0, 2147882620140, 0, 1199270343428, 0, 0, 0, -326854748250, 0, 1033189149640, 0, 0, 0, 192942980640, 0, -2741339187000, 0, 0, 0, 2164773863952, 0, 1358056898750, 0, 0, 0, 443499689412, 0, 403115129600, 0, 0, 0, 1210134754800, 0, -421045749000, 0, 0, 0, 627308825400, 0, 1256274315520, 0, 0, 0, -2047313671020, 0, -1302487859210, 0, 0, 0, 1790102081376, 0, 986999688720, 0, 0, 0, 447495751368, 0, -798668645400, 0, 0, 0, -453341578680, 0, 1046587816000, 0, 0, 0, 158293760400, 0, 2145142377340, 0, 0, 0, 1131606586980, 0, -170417577440, 0, 0, 0, -515019945600, 0, -1405491891300, 0, 0, 0, 277539239448, 0, -800953915680, 0, 0, 0, -1533188610000, 0, 21760613264, 0, 0, 0, 218371025700, 0, 647207590280, 0, 0, 0, -1033806079260, 0, 1891755163400, 0, 0, 0, 291893270256, 0, -879187691728, 0, 0, 0, -1568314885500, 0, 47331666000, 0, 0, 0, 1003290122880, 0, 959919281912, 0, 0, 0, -685028404800, 0, 356008180600, 0, 0, 0, 78074553600, 0, 911013433160, 0, 0, 0, 85042632600, 0, -464117407022, 0, 0, 0, 989369088048, 0, -752289012000, 0, 0, 0, -1079010729720, 0, -1965195253900, 0, 0, 0, -468281265840, 0, -1812095674360, 0, 0, 0, 439516212120, 0, 1863107389180, 0, 0, 0, 1093824748800, 0, 405868558424, 0, 0, 0, 1769802873750, 0, 893932509760, 0, 0, 0, -2633384822040, 0, -518591660968, 0, 0, 0, -351023202000, 0, -814572914400, 0, 0, 0, 2632133379060, 0, 2546016718720, 0, 0, 0, -180637839000, 0, -842929783208, 0, 0, 0, 234310563000, 0, 46615334400, 0, 0, 0, -440311866300, 0, -2778426284400, 0, 0, 0, 1120429618200, 0, -724191646600, 0, 0, 0, 1651384514880, 0, 298566579600, 0, 0, 0, -3051460180800, 0, -2912884538000, 0, 0, 0, -924045413688, 0, 518043550050, 0, 0, 0, -1766320146900, 0, -957911160748, 0, 0, 0, 9115506000, 0, -2461494052460, 0, 0, 0, -681171766560, 0, 50099642000, 0, 0, 0, 5251607937000, 0, 1297738810208, 0, 0, 0, -214068250800, 0, 426003821820, 0, 0, 0, -203837733990, 0, 2454182437000, 0, 0, 0, 1102678441200, 0, 659135252880, 0, 0, 0, -837510941340, 0, 1368832222150, 0, 0, 0, -1571012334396, 0, -3580001796672, 0, 0, 0, -1051615740402, 0, 245599842600, 0, 0, 0, -2076406155000, 0, -739639119328, 0, 0, 0, 655625855880, 0, -540237490550, 0, 0, 0, 1004436911700, 0, -420356766500, 0, 0, 0, 234336824640, 0, -1255811329228, 0, 0, 0, -2376654413472, 0, 725645140200, 0, 0, 0, -1215584383140, 0, -260105167000, 0, 0, 0, -1022077161000, 0, 2209422758600, 0, 0, 0, -2639017080720, 0, -3107221397100, 0, 0, 0, -2181852916776, 0, 369035077600, 0, 0, 0, 3899854116108, 0, -248174731350, 0, 0, 0, -1369904437440, 0, 278088573600, 0, 0, 0, -1431179470350, 0, 1933582684180, 0, 0, 0, -1754992605960, 0, -988195094960, 0, 0, 0, -1911855359016, 0, 143927464500, 0, 0, 0, -397282608000, 0, 315155365740, 0, 0, 0, -3544099665570, 0, -68773567536, 0, 0, 0, 359300248920, 0, 655401763600, 0, 0, 0, -505416903840, 0, 302818783090, 0, 0, 0, -304765568964, 0, 2767764427200, 0, 0, 0, 1316428204878, 0, -779609637540, 0, 0, 0, -954805653720, 0, 2173051754528, 0, 0, 0, -3891604608000, 0, 1242011319440, 0, 0, 0, 922459018860, 0, -761420580320, 0, 0, 0, 396206481600, 0, -727136847744, 0, 0, 0, -2225055054600, 0, -749266479000, 0, 0, 0, -3171698042040, 0], "weight": 8, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0], [1, 0], [0, 0], [0, 0], [0, 0], [90, -1], [0, 0], [-350, 45], [0, 0], [0, 0], [0, 0], [-5445, 20], [0, 0], [-2740, 360], [0, 0], [0, 0], [0, 0], [8208, 1176], [0, 0], [-8012, -594], [0, 0], [0, 0], [0, 0], [-12186, 2632], [0, 0], [-69440, -180], [0, 0], [0, 0], [0, 0], [-71640, 130], [0, 0], [19354, -7029], [0, 0], [0, 0], [0, 0], [-57825, 4400], [0, 0], [227810, 10800], [0, 0], [0, 0], [0, 0], [365940, 9290], [0, 0], [544420, 12330], [0, 0], [0, 0], [0, 0], [-780750, -18424], [0, 0], [483582, -31500], [0, 0], [0, 0], [0, 0], [1305234, -14319], [0, 0], [-501750, 7245], [0, 0], [0, 0], [0, 0], [-865980, 48880], [0, 0], [-310096, 11592], [0, 0], [0, 0], [0, 0], [-457200, 35140], [0, 0], [-173300, -4950], [0, 0], [0, 0], [0, 0], [2121120, -117240], [0, 0], [-1572595, -98820], [0, 0], [0, 0], [0, 0], [2432250, -252025], [0, 0], [-5055308, 104076], [0, 0], [0, 0], [0, 0], [-322101, -55444], [0, 0], [50760, 97632], [0, 0], [0, 0], [0, 0], [3010500, 67710], [0, 0], [10436000, -249300], [0, 0], [0, 0], [0, 0], [-373590, -45448], [0, 0], [2049335, 523080], [0, 0], [0, 0], [0, 0]]}