# Stored data for newform 256.10.a.s, downloaded from the LMFDB on 29 April 2024.
{"label": "256.10.a.s", "space_label": "256.10.a", "level": 256, "weight": 10, "hecke_orbit": 19, "hecke_orbit_code": 81064793460441344, "dim": 8, "is_polredabs": true, "trace_hash": 1691508780321216228, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [63696237642309888, 0, -24101856384768, 0, 2654022240, 0, -98416, 0, 1]], [5, [294381261264939950080000, 0, -4781063725538918400, 0, 16402176226816, 0, -9024192, 0, 1]], [7, [-105959154151424, 378295830528, -83936384, -2400, 1]]], "qexp_display": "q+\\beta _{1}q^{3}+(\\beta _{1}-\\beta _{3})q^{5}+(600+\\beta _{2}+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 25600, "fricke_eigenval": -1, "atkin_lehner_string": "-", "analytic_conductor": 131.84917405795153, "hecke_ring_index": 40532396646334464, "level_radical": 2, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.507", "prec": 17}, "analytic_rank_proved": true, "char_values": [256, 1, [255, 5], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [2], "conrey_indexes": [1], "field_disc": 1319065345179612186828152733952, "field_disc_factorization": [[2, 8], [7, 1], [199, 1], [1923258295913, 2]], "field_poly": [1648955392, 0, -50526912, 0, 409780, 0, -1131, 0, 1], "hecke_ring_index_factorization": [[2, 52], [3, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.170", "prec": 17}, {"__RealLiteral__": 0, "data": "6.913", "prec": 17}, {"__RealLiteral__": 0, "data": "7.039", "prec": 17}, {"__RealLiteral__": 0, "data": "235.046", "prec": 24}, {"__RealLiteral__": 0, "data": "317.114", "prec": 24}, {"__RealLiteral__": 0, "data": "11192.579", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "9.2.3.c1", "atkin_lehner_eigenvals": [[2, -1]], "trace_display": [0, 0, 0, 4800], "traces": [0, 8, 0, 0, 0, 0, 0, 4800, 0, 39368, 0, 0, 0, 0, 0, 163136, 0, -102000, 0, 0, 0, 0, 0, 3412032, 0, 2423384, 0, 0, 0, 0, 0, -803584, 0, 58272, 0, 0, 0, 0, 0, -17590208, 0, 2180784, 0, 0, 0, 0, 0, -7432320, 0, 24436680, 0, 0, 0, 0, 0, 7056832, 0, -134003744, 0, 0, 0, 0, 0, 223198400, 0, -146501760, 0, 0, 0, 0, 0, 560234688, 0, 523987120, 0, 0, 0, 0, 0, 248943744, 0, 231960296, 0, 0, 0, 0, 0, 540527424, 0, -744827856, 0, 0, 0, 0, 0, 1465245504, 0, -9932784, 0, 0, 0, 0, 0, 2783824832, 0, 846013952, 0, 0, 0, 0, 0, 7772696384, 0, 760769424, 0, 0, 0, 0, 0, 10150508928, 0, -2390221688, 0, 0, 0, 0, 0, 16472570880, 0, -2560613984, 0, 0, 0, 0, 0, 29611082624, 0, 833945520, 0, 0, 0, 0, 0, 23205816000, 0, -1757886080, 0, 0, 0, 0, 0, 32053918784, 0, 11635169552, 0, 0, 0, 0, 0, 59899962432, 0, 7773310464, 0, 0, 0, 0, 0, 64946506176, 0, -19518880744, 0, 0, 0, 0, 0, 102505487936, 0, 2354690720, 0, 0, 0, 0, 0, 146854562112, 0, 12871655808, 0, 0, 0, 0, 0, 146784585216, 0, 3126631184, 0, 0, 0, 0, 0, 158655096000, 0, -22254374688, 0, 0, 0, 0, 0, 221829746240, 0, -27439639392, 0, 0, 0, 0, 0, 229046473152, 0, 8742623232, 0, 0, 0, 0, 0, 191354194688, 0, -45187594856, 0, 0, 0, 0, 0, 271492230912, 0, 78792737712, 0, 0, 0, 0, 0, 207840157056, 0, 127905237136, 0, 0, 0, 0, 0, 200140976704, 0, -81706226720, 0, 0, 0, 0, 0, 310312478336, 0, -37578019824, 0, 0, 0, 0, 0, 201774617280, 0, -52626212992, 0, 0, 0, 0, 0, 324297099904, 0, 21213842944, 0, 0, 0, 0, 0, 241871082752, 0, 64103364144, 0, 0, 0, 0, 0, 60153023616, 0, -157476157032, 0, 0, 0, 0, 0, -77685798976, 0, 85758023616, 0, 0, 0, 0, 0, -421074365632, 0, 293849116032, 0, 0, 0, 0, 0, -367086621888, 0, -116703602128, 0, 0, 0, 0, 0, -651375138880, 0, -424374013536, 0, 0, 0, 0, 0, -836131925440, 0, -247346813952, 0, 0, 0, 0, 0, -1078667334336, 0, 40187140752, 0, 0, 0, 0, 0, -1420837680768, 0, 687014720000, 0, 0, 0, 0, 0, -1393827605120, 0, -57301023984, 0, 0, 0, 0, 0, -1373604002880, 0, -389148810424, 0, 0, 0, 0, 0, -1440897443456, 0, 1291443703088, 0, 0, 0, 0, 0, -2681277454464, 0, 245670241152, 0, 0, 0, 0, 0, -1854548861952, 0, -1054856330752, 0, 0, 0, 0, 0, -1689530229632, 0, -1397597055776, 0, 0, 0, 0, 0, -3259049696000, 0, 495041703312, 0, 0, 0, 0, 0, -2359309208640, 0, 1775532248880, 0, 0, 0, 0, 0, -3904510607552, 0, -2035690928224, 0, 0, 0, 0, 0, -4645267612800, 0, -562592778960, 0, 0, 0, 0, 0, -2382562260096, 0, 2527076990608, 0, 0, 0, 0, 0, -2079311521984, 0, 192402729864, 0, 0, 0, 0, 0, -2438360769984, 0, -3476527457520, 0, 0, 0, 0, 0, -2206690397184, 0, -505038683728, 0, 0, 0, 0, 0, -1986880114560, 0, 4746620315648, 0, 0, 0, 0, 0, 277170985792, 0, 303304232928, 0, 0, 0, 0, 0, 836942648064, 0, -4410097722496, 0, 0, 0, 0, 0, 857848924096, 0, -726211035424, 0, 0, 0, 0, 0, 2248581676992, 0, 7273716214272, 0, 0, 0, 0, 0, 542714647872, 0, 1966435817856, 0, 0, 0, 0, 0, 4744934009984, 0, -7853192565440, 0, 0, 0, 0, 0, 5296879015488, 0, -3361687321680, 0, 0, 0, 0, 0, 6162519206400, 0, 7516512971592, 0, 0, 0, 0, 0, 6488095236544, 0, 4309985041888, 0, 0, 0, 0, 0, 4200232203328, 0, -12709045814400, 0, 0, 0, 0, 0, 10118473637184, 0, -5345037059072, 0, 0, 0, 0, 0, 6008414419648, 0, 12702116648256, 0, 0, 0, 0, 0, 12553467174848, 0, 8412112811568, 0, 0, 0, 0, 0, 11591785849536, 0, -13196420229616, 0, 0, 0, 0, 0, 8765742394048, 0, -8453027712128, 0, 0, 0, 0, 0, 21659608942912, 0, 19331181670032, 0, 0, 0, 0, 0, 18309737979456, 0, 6168979414064, 0, 0, 0, 0, 0, 19051933228800, 0, -23075911617024, 0, 0, 0, 0, 0, 18889348486016, 0, -13702377244752, 0, 0, 0, 0, 0, 16125472153728, 0, 22028705723464, 0, 0, 0, 0, 0, 11339174183232, 0, 18737335708640, 0, 0, 0, 0, 0, 17620827486912, 0, -24250901386992, 0, 0, 0, 0, 0, 21685507045056, 0, -11021276081440, 0, 0, 0, 0, 0, 6555160454464, 0, 40539253374768, 0, 0, 0, 0, 0, 4150955224192, 0, 12990994060800, 0, 0, 0, 0, 0, 11452283040192, 0, -32245365990896, 0, 0, 0, 0, 0, 4386923574656, 0, -23161072405792, 0, 0, 0, 0, 0, -2660886883520, 0, 26570718615936, 0, 0, 0, 0, 0, 8472103925184, 0, 20451984715360, 0, 0, 0, 0, 0, -3337267666624, 0, -62052791165952, 0, 0, 0, 0, 0, -4499746361216, 0, -12094669682688, 0, 0, 0, 0, 0, -3002828822400, 0, 54699436986880, 0, 0, 0, 0, 0, -14102091937216, 0, 18759106359272, 0, 0, 0, 0, 0, -22321122634944, 0, -50763178282080, 0, 0, 0, 0, 0, -17139562152000, 0, -27175933285504, 0, 0, 0, 0, 0, -7230675714688, 0, 76682074592928, 0, 0, 0, 0, 0, -20680026034944, 0, 23261168852016, 0, 0, 0, 0, 0, -15386415015744, 0, -65063412177648, 0, 0, 0, 0, 0, -43256939421952, 0, -22548738763264, 0, 0, 0, 0, 0, -51578910410880, 0, 86145641957760, 0, 0, 0, 0, 0, -29318153447040, 0, 7400965781376, 0, 0, 0, 0, 0, -62835475368192, 0, -100796011417936, 0, 0, 0, 0, 0, -74725426474944, 0, -12564075147600, 0, 0, 0, 0, 0, -32271312219840, 0, 79164758278816, 0, 0, 0, 0, 0, -68130849391808, 0, 48438009221088, 0, 0, 0, 0, 0, -95159795209664, 0, -89253966666480, 0, 0, 0, 0, 0, -42203599834944, 0, -40727445648488, 0, 0, 0, 0, 0, -84908150477120, 0, 106612430195872, 0, 0, 0, 0, 0, -94925266705088, 0, 50001130468656, 0, 0, 0, 0, 0, -7542367256832, 0, -106546314292352, 0, 0, 0, 0, 0, -46465152710592, 0, -73959469956208, 0, 0, 0, 0, 0, -91640425519296, 0, 99694669542288, 0, 0, 0, 0, 0, -5394500304576, 0, 69166163206144, 0, 0, 0, 0, 0, -80058051998912, 0, -121555440571904, 0, 0, 0, 0, 0, -72079390621952, 0, -78486870132864, 0, 0, 0, 0, 0, -604960334208, 0, 90226572168352, 0, 0, 0, 0, 0, -43922362133440, 0, 54202877129184, 0, 0, 0, 0, 0, -7884818240064, 0, -83014761141744, 0, 0, 0, 0, 0, 27508963278720, 0, -28805069967952, 0, 0, 0, 0, 0, -6978737048192, 0, 168408384521216, 0, 0, 0, 0, 0, -64394893004480, 0, 42576920050224, 0, 0, 0, 0, 0, 67764790174848, 0, -132882300922104, 0, 0, 0, 0, 0, -44275289523008, 0, -85599598239296, 0, 0, 0, 0, 0, 14866351258304, 0, 86637050828688, 0, 0, 0, 0, 0, 139863960465984, 0, 88881530998144, 0, 0, 0, 0, 0, -54721935848704, 0, -128077787132000, 0, 0, 0, 0, 0, 52601316708224, 0, -52988042429952, 0, 0, 0, 0, 0, 85340716736064, 0, 161799905650832, 0, 0, 0, 0, 0, 41606596011008, 0, 68910933156624, 0, 0, 0, 0, 0, 57636072711168, 0, -136903036336752, 0, 0, 0, 0, 0, 201612322564800, 0, -19482133042512, 0, 0, 0, 0, 0, 106880134443648, 0, 92214871975072, 0, 0, 0, 0, 0, 71384652666688, 0, -181194785232, 0, 0, 0, 0, 0, 325790334148416, 0, -94898396664320, 0, 0, 0, 0, 0, 178457618189760, 0, 9032503039488, 0, 0, 0, 0, 0, 148555379256704, 0, 100784124061056, 0, 0, 0, 0, 0, 272133033873984, 0, -26741835764736, 0, 0, 0, 0, 0, 134858128550400, 0, -154089322966456, 0, 0, 0, 0, 0, 219357298439040, 0, -61126451756880, 0, 0, 0, 0, 0, 337973050903680, 0, 12806328403712, 0, 0, 0, 0, 0, 62979845439424, 0, 31688825581056, 0, 0, 0, 0, 0, 114703197370432, 0, 8169814705056, 0, 0, 0, 0, 0, 272220928675392, 0, -37686477130576, 0, 0, 0, 0, 0, 99871691155776, 0, 172574573057696, 0, 0, 0, 0, 0, 224183415380992, 0, 12792512674176, 0, 0, 0, 0, 0, 370342210925568, 0, 12477207266320, 0, 0, 0, 0, 0, -57930089100480, 0, 72011759479744, 0, 0, 0, 0, 0, 33272392310080, 0, -40225132125696, 0, 0, 0, 0, 0, 401467051582080, 0, -100681030615072, 0, 0, 0, 0, 0, -21717169637312, 0, 92670838506496, 0, 0, 0, 0, 0, -109842675894208, 0, 169204884434352, 0, 0, 0, 0, 0, 389699222897856, 0, -87340146923120, 0, 0, 0, 0, 0, 992277132672, 0, -37457881364480, 0, 0, 0, 0, 0, -114985024301632, 0, -111774845573616, 0, 0, 0, 0, 0, 451847706725568, 0, -7174437419112, 0, 0, 0, 0, 0, -209741448357760, 0, -321299533742544, 0, 0, 0, 0, 0, -177109083531520, 0, -8108801871264, 0, 0, 0, 0, 0, 243275731348416, 0, 346584628069136, 0, 0, 0, 0, 0, -238554403754048, 0, -26099841242400, 0, 0, 0, 0, 0, -197188644331712, 0, -109042624952832, 0, 0, 0, 0, 0, 272283065089536, 0, 126201046135776, 0, 0, 0, 0, 0, -152574249072640, 0, 365823903352320, 0, 0, 0, 0, 0, -343483904249664, 0, -69165966720336, 0, 0, 0, 0, 0, 228370650719232, 0, -266657067900528, 0, 0, 0, 0, 0, -528920321740736, 0, -344649797526144, 0, 0, 0, 0, 0, -624607960625408, 0, 379572793815936, 0, 0, 0, 0, 0, 193753494717888, 0, 137281933886128, 0, 0, 0, 0, 0, -672136050403456, 0, -641911434961248, 0, 0, 0, 0, 0, -906223250948224, 0, 65078574501888, 0, 0, 0, 0, 0, 71076988117248, 0, 330038512189312, 0, 0, 0, 0, 0, -736086589751936, 0, 190117270915008, 0, 0, 0, 0, 0, -715402119357888, 0, -495332608879728, 0, 0, 0, 0, 0, 108509186491968, 0, -387492725593768, 0, 0, 0, 0, 0, -789155308750208, 0, 783838850496848, 0, 0, 0, 0, 0, -947913464310720, 0, 250593493068672, 0, 0, 0, 0, 0, 83010284997312, 0, -464282697872896, 0, 0, 0, 0, 0, -865031498385088, 0, 81987247390688, 0, 0, 0, 0, 0, -1062461257605888, 0, 737732104315152, 0, 0, 0, 0, 0, 171921837491136, 0, 364580963192192, 0, 0, 0, 0, 0, -856735874709888, 0, -870107527658848, 0, 0, 0, 0, 0, -568646538027648, 0, -794504470064592, 0, 0, 0, 0, 0, 317060591587584, 0, 693144623890336, 0, 0, 0, 0, 0, -725086384137792, 0, 674639500238336, 0, 0, 0, 0, 0, -1159683056555392, 0, -845456291401728, 0, 0, 0, 0, 0, 348536202249984, 0, -233325847883392, 0, 0, 0, 0, 0, -675746341378560, 0, 607253803054496, 0, 0, 0, 0, 0, -929050219355520, 0, 561181771457712, 0, 0, 0, 0, 0, 686761263640704, 0, -1067006919778416, 0, 0, 0, 0, 0, -823158899565568, 0, -1024266031250976, 0, 0, 0, 0, 0, -629084699493440, 0, 1466952211898880, 0, 0, 0, 0, 0, 892173905778624, 0, 247848357114208, 0, 0, 0, 0, 0, -599868729207552, 0, -856614941363880, 0, 0, 0, 0, 0, -1137953238545088, 0, -30928766447136, 0, 0, 0, 0, 0, 1156189050467136, 0, 580260764273536, 0, 0, 0, 0, 0, -705876886725952, 0, 528120520453632, 0, 0, 0, 0, 0, -592410610727424, 0, -1166734437789552, 0, 0, 0, 0, 0, 1240487849326656, 0, -1046677407799296, 0, 0, 0, 0, 0, -905112799154944, 0, 1888219162155936, 0, 0, 0, 0, 0, -485319309824960, 0, 417823368406752, 0, 0, 0, 0, 0, 1320766011170688, 0, -1261153623376512, 0, 0, 0, 0, 0, -127788075632704, 0, -155829165141568, 0, 0, 0, 0, 0, -347988595235456, 0, 697088619737616, 0, 0, 0, 0, 0, 1873479551901888, 0, 759378294116528, 0, 0, 0, 0, 0, -398268745889152, 0, -1527574053239136, 0, 0, 0, 0, 0, -22485389683904, 0, -772721903604480, 0, 0, 0, 0, 0, 2581106748617856, 0, 1899421505748480, 0, 0, 0, 0, 0, 352036042955968, 0, 555024292516576, 0, 0, 0, 0, 0, 847847121406848, 0, -1060817480228064, 0, 0, 0, 0, 0, 2634950805657024, 0, 665368421064752, 0, 0, 0, 0, 0, -90711041915904, 0, 1071730415596928, 0, 0, 0, 0, 0, 373167651991104, 0, 370837415261184, 0, 0, 0, 0, 0, 3036043871720832, 0, -1614852210768936, 0, 0, 0, 0, 0, 370797848813952, 0, -1593885007220256, 0, 0, 0, 0, 0, 379430675367552, 0, 1449891934028304, 0, 0, 0, 0, 0, 2404783825363008, 0, 775286235019264, 0, 0, 0, 0, 0, 440892141089216, 0, -1330742376057184, 0, 0, 0, 0, 0, 1535915160753664, 0, 120184020341040, 0, 0, 0, 0, 0, 2724855114373056, 0, 585036211863040, 0, 0, 0, 0, 0, 209437240763328, 0, -200435605350768, 0, 0, 0, 0, 0, 77055499478272, 0, -2082215749226112, 0, 0, 0, 0, 0, 3033962896907136, 0, -1305565453375440, 0, 0, 0, 0, 0, 266781361304320, 0, 2740271243589536, 0, 0, 0, 0, 0, -347338472403968, 0, 165007700251008, 0, 0, 0, 0, 0, 3382385352955968, 0, 383719313333136, 0, 0, 0, 0, 0, -488424884396736, 0, 994417701186560, 0, 0, 0, 0, 0, 1098901077212864, 0, 675724415233440, 0, 0, 0, 0, 0, 3729248468174208, 0, -193184665597264, 0, 0, 0, 0, 0, -188345244938560, 0, -2637397033891008, 0, 0, 0, 0, 0, -728364599058112, 0, -1206160782167040, 0, 0, 0, 0, 0, 3019960087872768, 0, 1715907340450704, 0, 0, 0, 0, 0, -222635637813824, 0, 1380449351592960, 0, 0, 0, 0, 0, -1114940378522816, 0, 51169466276352, 0, 0, 0, 0, 0, 2916379158733632, 0, 721842838710152, 0, 0, 0, 0, 0, -813398587968512, 0, -1373025950369376, 0, 0, 0, 0, 0, 250825990166336, 0, -263430977106048, 0, 0, 0, 0, 0, 2786650534823040, 0, -1587733188973680, 0, 0, 0, 0, 0, -1127213359866304, 0, -1617333160863840, 0, 0, 0, 0, 0, -1201285129606528, 0, 1596871574218512, 0, 0, 0, 0, 0, 3511937962479552, 0, 1011768902896640, 0, 0, 0, 0, 0, -831402662317888, 0, 1554456363753472, 0, 0, 0, 0, 0, -1157953901275584, 0, 1170129138869040, 0, 0, 0, 0, 0, 2553797148304704, 0, -1271710395375072, 0, 0, 0, 0, 0, -3204823474182912, 0, 464929624820960, 0, 0, 0, 0, 0, -2415018643717184, 0, -384170411786880, 0, 0, 0, 0, 0, 2651774515706688, 0, -2463677353622144, 0, 0, 0, 0, 0, -1988225806874368, 0, 1946674510764032, 0, 0, 0, 0, 0, -2197127308724160, 0, 860937033122688, 0, 0, 0, 0, 0, 1134164613615744, 0, 1625680407925408, 0, 0, 0, 0, 0, -3148709680627328, 0, 1924448681695200, 0, 0, 0, 0, 0, -3996962016531904, 0, -3387365799792768, 0, 0, 0, 0, 0, 245473303042752, 0, -1201030088952400, 0, 0, 0, 0, 0, -2490929139001216, 0, -948554390576640, 0, 0, 0, 0, 0, -5493371833617664, 0, -1815164339334864, 0, 0, 0, 0, 0, 516818022346752, 0, 411708216341520, 0, 0, 0, 0, 0, -3984506179961792, 0, 207538482304504, 0, 0, 0, 0, 0, -4631456103672000, 0, 2996471067120288, 0, 0, 0, 0, 0, 1356316300451136, 0, 1807366595601280, 0, 0, 0, 0, 0, -5360840918011520, 0, -4306607590501984, 0, 0, 0, 0, 0, -5628488111015040, 0, -2031982033460592, 0, 0, 0, 0, 0, 2412423994991232, 0, 247029870162432, 0, 0, 0, 0, 0, -4007637546484672, 0, -2135317806346784, 0, 0, 0, 0, 0, -3604594386925056, 0, 1035220744142352, 0, 0, 0, 0, 0, 1482522091892160, 0, 308631564933552, 0, 0, 0, 0, 0, -6146485077522112, 0, 6192932919460400, 0, 0, 0, 0, 0, -5703812684283584, 0, 5650308586905984, 0, 0, 0, 0, 0, 287491287685632, 0, -4404856072429040, 0, 0, 0, 0, 0, -2567816909431744, 0, -2562860236507648, 0, 0, 0, 0, 0, -6642948648410816, 0, -862944004465008, 0, 0, 0, 0, 0, 989276153349120, 0, -483941840606928, 0, 0, 0, 0, 0, -2246100536905984, 0, -705879712578048, 0, 0, 0, 0, 0, -3929365582663296, 0, -1235473503782736, 0, 0, 0, 0, 0, 2095850809866240, 0, 4131764291574928, 0, 0, 0, 0, 0, -3988619348938304, 0, 6288764018374672, 0, 0, 0, 0, 0, -4533675873834048, 0, -7887294172187136, 0, 0, 0, 0, 0, 1644611684769216, 0, -2453275918368256, 0, 0, 0, 0, 0, -4552942995242880, 0, 1412043690094912, 0, 0, 0, 0, 0, -2100764226621632, 0, -1660050382153728, 0, 0, 0, 0, 0, -255726113234688, 0, 1396420033624712, 0, 0, 0, 0, 0, -5698080370978880, 0, -2589829881429280, 0, 0, 0, 0, 0, -179540638490560, 0, 8436448315030032, 0, 0, 0, 0, 0, 803603016650880, 0, 6401389497577984, 0, 0, 0, 0, 0, -410076450869760, 0, -10447686448374464, 0, 0, 0, 0, 0, -4815859261178112, 0, -2463483803384448, 0, 0, 0, 0, 0, 2652349811416704, 0, 4169497458469248, 0, 0, 0, 0, 0, 113812458503680, 0, -4894181964049920, 0, 0, 0, 0, 0, -4628034053564352, 0, -66077815025904, 0, 0, 0, 0, 0, 2516985735249600, 0, -1926847634314320, 0, 0, 0, 0, 0, -4614473030883968, 0, 8673355678400000, 0, 0, 0, 0, 0, 325772552195840, 0, 8673949730614320, 0, 0, 0, 0, 0, 5343234579946368, 0, -12761567478909056, 0, 0, 0, 0, 0, -29546424745280, 0, -3871323093057648, 0, 0, 0, 0, 0, 960604619216192, 0, 2259289676795040, 0, 0, 0, 0, 0, 2577673117707840, 0, -4133579589463968, 0, 0, 0, 0, 0, 1209170870445888, 0, -2501676704465600, 0, 0, 0, 0, 0, 3117235108513536, 0, -3199432556468736, 0, 0, 0, 0, 0, 9372603666175872, 0, 8102836915296640, 0, 0, 0, 0, 0, 2770815961137536, 0, 11515835375175648, 0, 0, 0, 0, 0, 1102072356207808, 0, -7832724444006912, 0, 0, 0, 0, 0, 8381001595876224, 0, -2698007755044432, 0, 0, 0, 0, 0, 3393311303904384, 0, 5735120014220160, 0, 0, 0, 0, 0, 2695678769779520, 0, -5074654780720080, 0, 0, 0, 0, 0, 9238187778463488, 0, -3313138812105848, 0, 0, 0, 0, 0, 902910053596480, 0, 929349484613568, 0, 0, 0, 0, 0, 4913447226748928, 0, 10727218453386384, 0, 0, 0, 0, 0, 10345252388786496, 0, 11077057439106224, 0, 0, 0, 0, 0, 1936144203866496, 0, -16664431441410656, 0, 0, 0, 0, 0, 8181651417937536, 0, -3812311633367376, 0, 0, 0, 0, 0, 2636713752133248, 0, 2442224428093440, 0, 0, 0, 0, 0, 3333764714310080, 0, -7232212615384064, 0, 0, 0, 0, 0, 7482363708408896, 0, -371336081958144, 0, 0, 0, 0, 0, 9450022221327744, 0, 573071630988720, 0, 0, 0, 0, 0, 5803281186201408, 0, 15349041288797856, 0, 0, 0, 0, 0, -130068658476736, 0, 11346763422316512, 0, 0, 0, 0, 0, 6881570879308608, 0, -14745308252280416, 0, 0, 0, 0, 0, 9139381590561984, 0, -5634465691460096, 0, 0, 0, 0, 0, 6469868767897856, 0, 1634803357782528, 0, 0, 0, 0, 0, 8138089553428416, 0, -10435835362680528, 0, 0, 0, 0, 0, 861845586804928, 0, 1653602231173296, 0, 0, 0, 0, 0, 2273816321210304, 0, -1258338777150240, 0, 0, 0, 0, 0, 4860712921046400, 0, 12620999877059968, 0, 0, 0, 0, 0, 2475299318728000, 0, 15269672292581888, 0, 0, 0, 0, 0, 13928409752387136, 0, -14441324365244544, 0, 0, 0, 0, 0, -2287692040653696, 0, -3804298018253824, 0, 0, 0, 0, 0, 6918105058398528, 0, 3727564184835232, 0, 0, 0, 0, 0, 8472080341493888, 0, -8105720101555200, 0, 0, 0, 0, 0, 3382175929773312, 0, 3309413664840976, 0, 0, 0, 0, 0, 6522052901911680, 0, -1351818129478952, 0, 0, 0, 0, 0, -1868443029247488, 0, 8805120744774288, 0, 0, 0, 0, 0, 2911151177391552, 0, 15896825806918192, 0, 0, 0, 0, 0, 1843840062461376, 0, -20187321923263488, 0, 0, 0, 0, 0, 3164739610358336, 0, -5452744939618896, 0, 0, 0, 0, 0, 5924047568409600, 0, 362212602615968, 0, 0, 0, 0, 0, -665723394210240, 0, -16128118777412128, 0, 0, 0, 0, 0, -1051002920056384, 0, 2680249036959504, 0, 0, 0, 0, 0, 6087929104092096, 0, 417152200963328, 0, 0, 0, 0, 0, 3497966365745536, 0, 11227560261169632, 0, 0, 0, 0, 0, 9734565596103168, 0, 18249025565761536, 0, 0, 0, 0, 0, -3887475043027968, 0, -14220609248679920, 0, 0, 0, 0, 0, -1659439887368256, 0, -4643224227158016, 0, 0, 0, 0, 0, 1313382164202624, 0, -5671016315479680, 0, 0, 0, 0, 0, -3254759609310144, 0, -7924863606003920, 0, 0, 0, 0, 0, 4689943930960128, 0, 13042631564238752, 0, 0, 0, 0, 0, -8999960683796608, 0, -7103728268323152, 0, 0, 0, 0, 0, -12176009291171520, 0, 13643273646521344, 0, 0, 0, 0, 0, -3615722222030272, 0, 24403205893251456, 0, 0, 0, 0, 0, -5611044123706112, 0, -12951278129102064, 0, 0, 0, 0, 0, -7141059976450560, 0, -2685746012797216, 0, 0, 0, 0, 0, -7304088002385792, 0, -7950794417422848, 0, 0, 0, 0, 0, -7042410668099648, 0, -9035318953326288, 0, 0, 0, 0, 0, -9948679042702272, 0, 15879556704789376, 0, 0, 0, 0, 0, -1687599684278336, 0, 7142762529989856, 0, 0, 0, 0, 0, -3757397830201024, 0, 5691159328721040, 0, 0, 0, 0, 0, -25212234702513792, 0, 8865137550899416, 0, 0, 0, 0, 0, -10940619535338688, 0, -22322192888306512, 0, 0, 0, 0, 0, -3687892851200448, 0, -7418250828778704, 0, 0, 0, 0, 0, -11565997964360640, 0, -12379923710966640, 0, 0, 0, 0, 0, -3208044017027200, 0, -19829451480630816, 0, 0, 0, 0, 0, -18617902139980416, 0, 20046946451427840, 0, 0, 0, 0, 0, -22867498739966016, 0, 1145734452322736, 0, 0, 0, 0, 0, -1507898567477120, 0, 13855754218319872, 0, 0, 0, 0, 0, -6851560099010112, 0, 16660795742018736, 0, 0, 0, 0, 0, -5791027279560192, 0, -10484086006795872, 0, 0, 0, 0, 0, -15634697363978048, 0, -1298377778902080, 0, 0, 0, 0, 0, -12433908194024832, 0, -15653256650488944, 0, 0, 0, 0, 0, -14170547261868480, 0, -29428536610023936, 0, 0, 0, 0, 0, -2638503615315840, 0, 26106361742214048, 0, 0, 0, 0, 0, -802705475186944, 0, 12125550941822976, 0, 0, 0, 0, 0, -30132101410264704, 0, 6947276394241408, 0, 0, 0, 0, 0, -8166681445734976, 0, 14262720527320512, 0, 0, 0, 0, 0, -7561276965940864, 0, -13175498256390144, 0, 0, 0, 0, 0, -13336370638744512, 0, 1274793725043632, 0, 0, 0, 0, 0, 1339964845625024, 0, -28708261764725760, 0, 0, 0, 0, 0, -13342016502555392, 0, -15422150131097040, 0, 0, 0, 0, 0, -26721303515899776, 0, 21621236870108032, 0, 0, 0, 0, 0, -7894437191209664, 0, 15182664388064768, 0, 0, 0, 0, 0, 2558764987603776, 0, 5843337445262112, 0, 0, 0, 0, 0, 1951503758100288, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": true, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "8.10.b.a", "char_is_minimal": false, "conrey_index": 1, "id": null, "nf_label": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[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, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [600, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [4921, 0, 1, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -91, 0, 8, 0, 1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [20392, 0, 6, 0, -8, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [-12750, 0, 31, 0, -1, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0], [0, -664, 0, -88, 0, 8, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1612, 0, -27, 0, -11, -21, 0], [0, 0, 0, 0, 0, 0, 0, 0], [426504, 0, 36, 0, -56, 0, 0, -9], [0, 0, 0, 0, 0, 0, 0, 0], [302923, 0, 276, 0, 26, 0, 0, -14], [0, 0, 0, 0, 0, 0, 0, 0], [0, 5383, 0, -1608, 0, -40, -21, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 2745, 0, 111, 0, 40, 56, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-100448, 0, 61, 0, -56, 0, 0, 23], [0, 0, 0, 0, 0, 0, 0, 0], [7284, 0, 787, 0, 25, 0, 0, 20], [0, 0, 0, 0, 0, 0, 0, 0], [0, 5386, 0, -6232, 0, 8, 70, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 39601, 0, -416, 0, -11, 139, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-2198776, 0, -85, 0, 448, 0, 0, 24], [0, 0, 0, 0, 0, 0, 0, 0], [272598, 0, 332, 0, -306, 0, 0, 70], [0, 0, 0, 0, 0, 0, 0, 0], [0, -10771, 0, -12880, 0, 240, 86, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 166705, 0, -222, 0, -289, -255, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-929040, 0, -1267, 0, 1112, 0, 0, -203], [0, 0, 0, 0, 0, 0, 0, 0], [3054585, 0, -3592, 0, -280, 0, 0, -224], [0, 0, 0, 0, 0, 0, 0, 0], [0, 51475, 0, -16608, 0, -352, -909, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 303237, 0, 5970, 0, 627, -275, 0], [0, 0, 0, 0, 0, 0, 0, 0], [882104, 0, -2687, 0, -672, 0, 0, 228], [0, 0, 0, 0, 0, 0, 0, 0], [-16750468, 0, -10087, 0, 2131, 0, 0, 84], [0, 0, 0, 0, 0, 0, 0, 0], [0, 11443, 0, 4184, 0, -8, 664, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 747513, 0, -9324, 0, 193, -609, 0], [0, 0, 0, 0, 0, 0, 0, 0], [27899800, 0, 6742, 0, -4312, 0, 0, 315], [0, 0, 0, 0, 0, 0, 0, 0], [-18312720, 0, -6756, 0, 1826, 0, 0, 354], [0, 0, 0, 0, 0, 0, 0, 0], [0, -122016, 0, 58032, 0, 496, 3261, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1472644, 0, -25653, 0, -2101, 405, 0], [0, 0, 0, 0, 0, 0, 0, 0], [70029336, 0, 21048, 0, -3144, 0, 0, -903], [0, 0, 0, 0, 0, 0, 0, 0], [65498390, 0, 16521, 0, -9577, 0, 0, -800], [0, 0, 0, 0, 0, 0, 0, 0], [0, -11263, 0, 132984, 0, -2408, -3990, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1368996, 0, 69891, 0, 2179, 5341, 0], [0, 0, 0, 0, 0, 0, 0, 0], [31117968, 0, -15902, 0, 992, 0, 0, 1012], [0, 0, 0, 0, 0, 0, 0, 0], [28995037, 0, 39907, 0, -7471, 0, 0, 1548], [0, 0, 0, 0, 0, 0, 0, 0], [0, -453295, 0, 216664, 0, 3576, -4096, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1566154, 0, 57529, 0, -209, -1775, 0], [0, 0, 0, 0, 0, 0, 0, 0], [67565928, 0, -71522, 0, 7672, 0, 0, -751], [0, 0, 0, 0, 0, 0, 0, 0], [-93103482, 0, 36193, 0, 28007, 0, 0, -328], [0, 0, 0, 0, 0, 0, 0, 0], [0, 88082, 0, 123176, 0, 2952, 4382, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1190512, 0, -253368, 0, -2088, -4248, 0], [0, 0, 0, 0, 0, 0, 0, 0], [183155688, 0, 22307, 0, 28000, 0, 0, -2348], [0, 0, 0, 0, 0, 0, 0, 0], [-1241598, 0, 2815, 0, 18711, 0, 0, -4470], [0, 0, 0, 0, 0, 0, 0, 0], [0, 462603, 0, -123624, 0, -7752, 576, 0], [0, 0, 0, 0, 0, 0, 0, 0]]}