# Stored data for newform 160.6.a.h, downloaded from the LMFDB on 20 April 2024.
{"label": "160.6.a.h", "space_label": "160.6.a", "level": 160, "weight": 6, "hecke_orbit": 8, "hecke_orbit_code": 31525197492256928, "dim": 4, "is_polredabs": true, "nf_label": "4.4.81998080.1", "trace_hash": 1504680811494040523, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [83520, 0, -848, 0, 1]]], "qexp_display": "q-\\beta _{1}q^{3}+5^{2}q^{5}+(-6\\beta _{1}+\\beta _{2})q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5760, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 25.661411170076903, "hecke_ring_index": 2048, "level_radical": 10, "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": "0.505", "prec": 17}, "analytic_rank_proved": true, "char_values": [160, 1, [31, 101, 97], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 2, "level_primes": [2, 5], "conrey_indexes": [1], "field_disc": 81998080, "field_disc_factorization": [[2, 8], [5, 1], [29, 1], [47, 2]], "field_poly": [-367, -376, -100, 0, 1], "hecke_ring_index_factorization": [[2, 11]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.042", "prec": 17}, {"__RealLiteral__": 0, "data": "3.672", "prec": 17}, {"__RealLiteral__": 0, "data": "0.624", "prec": 17}, {"__RealLiteral__": 0, "data": "68.991", "prec": 20}, {"__RealLiteral__": 0, "data": "33.526", "prec": 20}, {"__RealLiteral__": 0, "data": "1836.530", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, -1]], "trace_display": [0, 0, 100, 0], "traces": [0, 4, 0, 0, 0, 100, 0, 0, 0, 724, 0, 0, 0, -584, 0, 0, 0, -760, 0, 0, 0, 9824, 0, 0, 0, 2500, 0, 0, 0, -168, 0, 0, 0, 25792, 0, 0, 0, 19736, 0, 0, 0, 47624, 0, 0, 0, 18100, 0, 0, 0, 121348, 0, 0, 0, 17496, 0, 0, 0, 99840, 0, 0, 0, -62024, 0, 0, 0, -14600, 0, 0, 0, -9824, 0, 0, 0, 119400, 0, 0, 0, 17728, 0, 0, 0, 103940, 0, 0, 0, -19000, 0, 0, 0, 209320, 0, 0, 0, -532672, 0, 0, 0, -59128, 0, 0, 0, -471368, 0, 0, 0, 245600, 0, 0, 0, -182664, 0, 0, 0, -491512, 0, 0, 0, -1260776, 0, 0, 0, -120300, 0, 0, 0, 62500, 0, 0, 0, 186912, 0, 0, 0, -606720, 0, 0, 0, 342888, 0, 0, 0, -719776, 0, 0, 0, -4200, 0, 0, 0, 667928, 0, 0, 0, -1292632, 0, 0, 0, -22920, 0, 0, 0, -188576, 0, 0, 0, 644800, 0, 0, 0, 2065308, 0, 0, 0, -14408, 0, 0, 0, 631936, 0, 0, 0, -1333768, 0, 0, 0, 493400, 0, 0, 0, 4781248, 0, 0, 0, -2735544, 0, 0, 0, 2118744, 0, 0, 0, -738976, 0, 0, 0, 1190600, 0, 0, 0, 2703360, 0, 0, 0, 235328, 0, 0, 0, -1768768, 0, 0, 0, 3576176, 0, 0, 0, 452500, 0, 0, 0, 1632248, 0, 0, 0, -378968, 0, 0, 0, 1760896, 0, 0, 0, 164072, 0, 0, 0, 3033700, 0, 0, 0, 5101216, 0, 0, 0, -17728, 0, 0, 0, -2871608, 0, 0, 0, -6960840, 0, 0, 0, 437400, 0, 0, 0, 7091832, 0, 0, 0, -17605312, 0, 0, 0, -5059816, 0, 0, 0, 1808520, 0, 0, 0, 2496000, 0, 0, 0, -2069812, 0, 0, 0, 313112, 0, 0, 0, 1096064, 0, 0, 0, -6027552, 0, 0, 0, -1550600, 0, 0, 0, 488480, 0, 0, 0, -6529176, 0, 0, 0, 652344, 0, 0, 0, -8187680, 0, 0, 0, -365000, 0, 0, 0, 6232736, 0, 0, 0, 1262072, 0, 0, 0, -52920, 0, 0, 0, -9417344, 0, 0, 0, -245600, 0, 0, 0, -1228968, 0, 0, 0, -3328632, 0, 0, 0, -18037568, 0, 0, 0, 6638324, 0, 0, 0, 2985000, 0, 0, 0, 534440, 0, 0, 0, -9027176, 0, 0, 0, 20815824, 0, 0, 0, -7508896, 0, 0, 0, 443200, 0, 0, 0, 4791384, 0, 0, 0, -5662912, 0, 0, 0, -2510536, 0, 0, 0, 20202248, 0, 0, 0, 2598500, 0, 0, 0, 10658312, 0, 0, 0, 28019584, 0, 0, 0, -3976064, 0, 0, 0, -12067624, 0, 0, 0, -475000, 0, 0, 0, -11851136, 0, 0, 0, -3284024, 0, 0, 0, 606720, 0, 0, 0, 41600212, 0, 0, 0, 5233000, 0, 0, 0, 7048424, 0, 0, 0, 21443136, 0, 0, 0, 16634408, 0, 0, 0, 7097688, 0, 0, 0, -13316800, 0, 0, 0, -26664544, 0, 0, 0, 9952704, 0, 0, 0, 8942136, 0, 0, 0, 4048976, 0, 0, 0, -1478200, 0, 0, 0, -2787040, 0, 0, 0, 20823216, 0, 0, 0, 16110272, 0, 0, 0, -22115360, 0, 0, 0, -11784200, 0, 0, 0, 11172568, 0, 0, 0, -11965440, 0, 0, 0, -21348032, 0, 0, 0, 12218536, 0, 0, 0, 6140000, 0, 0, 0, -25556796, 0, 0, 0, 17303408, 0, 0, 0, -13330304, 0, 0, 0, -22870504, 0, 0, 0, -4566600, 0, 0, 0, -43568360, 0, 0, 0, -1387136, 0, 0, 0, 23800568, 0, 0, 0, -12985984, 0, 0, 0, -12287800, 0, 0, 0, -21328760, 0, 0, 0, 52315584, 0, 0, 0, -5421368, 0, 0, 0, 22701664, 0, 0, 0, -31519400, 0, 0, 0, -43207680, 0, 0, 0, -11124408, 0, 0, 0, -833792, 0, 0, 0, 28751624, 0, 0, 0, -3007500, 0, 0, 0, -97438656, 0, 0, 0, 15286744, 0, 0, 0, -19391576, 0, 0, 0, -4781248, 0, 0, 0, 1562500, 0, 0, 0, 3180592, 0, 0, 0, -49305024, 0, 0, 0, -76625480, 0, 0, 0, 5470120, 0, 0, 0, 4672800, 0, 0, 0, -14748928, 0, 0, 0, 69975800, 0, 0, 0, 25076616, 0, 0, 0, 14343064, 0, 0, 0, -15168000, 0, 0, 0, 513312, 0, 0, 0, -17689336, 0, 0, 0, 23911640, 0, 0, 0, 2914912, 0, 0, 0, 8572200, 0, 0, 0, -19880496, 0, 0, 0, 96769600, 0, 0, 0, 15207952, 0, 0, 0, 11273656, 0, 0, 0, -17994400, 0, 0, 0, 11885048, 0, 0, 0, 1768768, 0, 0, 0, 66161024, 0, 0, 0, 82753760, 0, 0, 0, -105000, 0, 0, 0, -3377900, 0, 0, 0, -26096264, 0, 0, 0, 11146048, 0, 0, 0, 2749440, 0, 0, 0, 16698200, 0, 0, 0, -43213280, 0, 0, 0, 83553472, 0, 0, 0, 7066904, 0, 0, 0, -37634584, 0, 0, 0, -32315800, 0, 0, 0, 52629576, 0, 0, 0, 31903320, 0, 0, 0, 16129600, 0, 0, 0, -11168384, 0, 0, 0, -573000, 0, 0, 0, 73489568, 0, 0, 0, 106081552, 0, 0, 0, 38307384, 0, 0, 0, 3234760, 0, 0, 0, -4714400, 0, 0, 0, 14514984, 0, 0, 0, -90716736, 0, 0, 0, 74995200, 0, 0, 0, -12684520, 0, 0, 0, 16120000, 0, 0, 0, -61167176, 0, 0, 0, -81964792, 0, 0, 0, -56299904, 0, 0, 0, 42710236, 0, 0, 0, 51632700, 0, 0, 0, 122575392, 0, 0, 0, -42574952, 0, 0, 0, -95618136, 0, 0, 0, 3767488, 0, 0, 0, -360200, 0, 0, 0, 38365952, 0, 0, 0, -74231128, 0, 0, 0, -15557192, 0, 0, 0, -17418456, 0, 0, 0, 15798400, 0, 0, 0, 47489696, 0, 0, 0, -135989760, 0, 0, 0, 17605312, 0, 0, 0, -20650320, 0, 0, 0, -33344200, 0, 0, 0, -50665448, 0, 0, 0, 84423872, 0, 0, 0, -78491968, 0, 0, 0, -84527776, 0, 0, 0, 12335000, 0, 0, 0, -35136280, 0, 0, 0, -29776960, 0, 0, 0, -113149016, 0, 0, 0, -143831080, 0, 0, 0, 119531200, 0, 0, 0, -27828048, 0, 0, 0, -29707416, 0, 0, 0, -49596288, 0, 0, 0, 65949700, 0, 0, 0, -68388600, 0, 0, 0, -1643520, 0, 0, 0, -246740096, 0, 0, 0, 56836680, 0, 0, 0, 52413144, 0, 0, 0, 52968600, 0, 0, 0, 6027552, 0, 0, 0, -97945792, 0, 0, 0, -83150056, 0, 0, 0, -283270784, 0, 0, 0, -18474400, 0, 0, 0, 179356424, 0, 0, 0, -129454056, 0, 0, 0, -68172376, 0, 0, 0, -2945640, 0, 0, 0, 29765000, 0, 0, 0, 407825856, 0, 0, 0, 23001064, 0, 0, 0, 108810608, 0, 0, 0, -131883552, 0, 0, 0, 67584000, 0, 0, 0, 90983592, 0, 0, 0, -152628808, 0, 0, 0, 100507584, 0, 0, 0, 31351480, 0, 0, 0, 5883200, 0, 0, 0, 60984056, 0, 0, 0, 40753680, 0, 0, 0, 190468352, 0, 0, 0, -6232736, 0, 0, 0, -44219200, 0, 0, 0, -58736604, 0, 0, 0, 9811864, 0, 0, 0, -229945752, 0, 0, 0, 162901728, 0, 0, 0, 89404400, 0, 0, 0, 110159160, 0, 0, 0, 123825216, 0, 0, 0, -32219720, 0, 0, 0, -182031360, 0, 0, 0, 11312500, 0, 0, 0, 38964424, 0, 0, 0, -72495680, 0, 0, 0, 208131328, 0, 0, 0, 240351200, 0, 0, 0, 40806200, 0, 0, 0, 234135328, 0, 0, 0, -86715448, 0, 0, 0, 73395760, 0, 0, 0, -139801536, 0, 0, 0, -9474200, 0, 0, 0, -73722080, 0, 0, 0, 18037568, 0, 0, 0, -128728000, 0, 0, 0, 45674040, 0, 0, 0, 44022400, 0, 0, 0, 143538864, 0, 0, 0, -99937752, 0, 0, 0, 311784960, 0, 0, 0, 233668136, 0, 0, 0, 4101800, 0, 0, 0, 345746816, 0, 0, 0, 49444792, 0, 0, 0, -190928120, 0, 0, 0, 111086720, 0, 0, 0, 75842500, 0, 0, 0, -90087400, 0, 0, 0, 237633672, 0, 0, 0, -95891752, 0, 0, 0, -33081648, 0, 0, 0, 127530400, 0, 0, 0, -212709752, 0, 0, 0, -170569856, 0, 0, 0, -299076736, 0, 0, 0, 199219568, 0, 0, 0, -443200, 0, 0, 0, 130871488, 0, 0, 0, 157954560, 0, 0, 0, 100823160, 0, 0, 0, -605119168, 0, 0, 0, -71790200, 0, 0, 0, 28109928, 0, 0, 0, -277882688, 0, 0, 0, 66088584, 0, 0, 0, 31389336, 0, 0, 0, -174021000, 0, 0, 0, -284050816, 0, 0, 0, -35136752, 0, 0, 0, 41937152, 0, 0, 0, 86200200, 0, 0, 0, 10935000, 0, 0, 0, -143575904, 0, 0, 0, -129806784, 0, 0, 0, 85778496, 0, 0, 0, -47745544, 0, 0, 0, 177295800, 0, 0, 0, -118871040, 0, 0, 0, 250481024, 0, 0, 0, -28019584, 0, 0, 0, -176158584, 0, 0, 0, -440132800, 0, 0, 0, -166137540, 0, 0, 0, -74609416, 0, 0, 0, -157202168, 0, 0, 0, 316341208, 0, 0, 0, -126495400, 0, 0, 0, -451807968, 0, 0, 0, 211900672, 0, 0, 0, -205176512, 0, 0, 0, -54567200, 0, 0, 0, 45213000, 0, 0, 0, -301406392, 0, 0, 0, -80383272, 0, 0, 0, -229757040, 0, 0, 0, -358548648, 0, 0, 0, 62400000, 0, 0, 0, 44780312, 0, 0, 0, 199869096, 0, 0, 0, 555695232, 0, 0, 0, -40429184, 0, 0, 0, -51745300, 0, 0, 0, -53768480, 0, 0, 0, -77315144, 0, 0, 0, 330084032, 0, 0, 0, -283960864, 0, 0, 0, 7827800, 0, 0, 0, 9386864, 0, 0, 0, 68662976, 0, 0, 0, -701545536, 0, 0, 0, 89401416, 0, 0, 0, 27401600, 0, 0, 0, -79529048, 0, 0, 0, 235186776, 0, 0, 0, 222543360, 0, 0, 0, 207943680, 0, 0, 0, -150688800, 0, 0, 0, -420926688, 0, 0, 0, 64185680, 0, 0, 0, 283489840, 0, 0, 0, 711101772, 0, 0, 0, -38765000, 0, 0, 0, 163242752, 0, 0, 0, 341759424, 0, 0, 0, -104691312, 0, 0, 0, 26664544, 0, 0, 0, 12212000, 0, 0, 0, -307523560, 0, 0, 0, 349681992, 0, 0, 0, -716442344, 0, 0, 0, 595097568, 0, 0, 0, -163229400, 0, 0, 0, -764817888, 0, 0, 0, 128450712, 0, 0, 0, 361920000, 0, 0, 0, 369184384, 0, 0, 0, 16308600, 0, 0, 0, -47634272, 0, 0, 0, 688900352, 0, 0, 0, -49560584, 0, 0, 0, -354597624, 0, 0, 0, -204692000, 0, 0, 0, 4527496, 0, 0, 0, 371224376, 0, 0, 0, 919905472, 0, 0, 0, 217977720, 0, 0, 0, -9125000, 0, 0, 0, -416982952, 0, 0, 0, -16110272, 0, 0, 0, 417757272, 0, 0, 0, 172717920, 0, 0, 0, 155818400, 0, 0, 0, 201821200, 0, 0, 0, 99763200, 0, 0, 0, -401022872, 0, 0, 0, 349798272, 0, 0, 0, 31551800, 0, 0, 0, -4952840, 0, 0, 0, 780354176, 0, 0, 0, 357349824, 0, 0, 0, 273382124, 0, 0, 0, -1323000, 0, 0, 0, 642573728, 0, 0, 0, 133341368, 0, 0, 0, -155262008, 0, 0, 0, -265116640, 0, 0, 0, -235433600, 0, 0, 0, 209887384, 0, 0, 0, -577956800, 0, 0, 0, -14396560, 0, 0, 0, 466375848, 0, 0, 0, -6140000, 0, 0, 0, -1176222720, 0, 0, 0, 32678424, 0, 0, 0, -242172696, 0, 0, 0, 234995288, 0, 0, 0, -30724200, 0, 0, 0, 153241728, 0, 0, 0, -464632600, 0, 0, 0, 1038445888, 0, 0, 0, -836144544, 0, 0, 0, -83215800, 0, 0, 0, 584761296, 0, 0, 0, 879018552, 0, 0, 0, 47532808, 0, 0, 0, -576774480, 0, 0, 0, -450939200, 0, 0, 0, -655989032, 0, 0, 0, -298879040, 0, 0, 0, -865848704, 0, 0, 0, 120641992, 0, 0, 0, 165958100, 0, 0, 0, -659162432, 0, 0, 0, 480913688, 0, 0, 0, 1387136, 0, 0, 0, -814630816, 0, 0, 0, 74625000, 0, 0, 0, 45115648, 0, 0, 0, -153648832, 0, 0, 0, -390700480, 0, 0, 0, 270181472, 0, 0, 0, 13361000, 0, 0, 0, -183482188, 0, 0, 0, -221719824, 0, 0, 0, 509167616, 0, 0, 0, 439211576, 0, 0, 0, -225679400, 0, 0, 0, 28959680, 0, 0, 0, -663755512, 0, 0, 0, -41487720, 0, 0, 0, -53575680, 0, 0, 0, 520395600, 0, 0, 0, -36423512, 0, 0, 0, 323021376, 0, 0, 0, -1679699904, 0, 0, 0, -117333128, 0, 0, 0, -187722400, 0, 0, 0, -22701664, 0, 0, 0, 292385960, 0, 0, 0, 392765056, 0, 0, 0, 31013392, 0, 0, 0, 11080000, 0, 0, 0, -9157856, 0, 0, 0, -357214152, 0, 0, 0, 408404048, 0, 0, 0, -803708960, 0, 0, 0, 119784600, 0, 0, 0, -500105416, 0, 0, 0, -2128989760, 0, 0, 0, -690562560, 0, 0, 0, 51673104, 0, 0, 0, -141572800, 0, 0, 0, -109366528, 0, 0, 0, 769738072, 0, 0, 0, -137755008, 0, 0, 0, 454833888, 0, 0, 0, -62763400, 0, 0, 0, 1035392048, 0, 0, 0, -1027907992, 0, 0, 0, 581806776, 0, 0, 0, 97438656, 0, 0, 0, 505056200, 0, 0, 0, 1032408584, 0, 0, 0, -626324864, 0, 0, 0, -377864312, 0, 0, 0, -641032992, 0, 0, 0, 64962500, 0, 0, 0, 716684568, 0, 0, 0, -519912960, 0, 0, 0, -1034623808, 0, 0, 0, 232050576, 0, 0, 0, 266457800, 0, 0, 0, -165226720, 0, 0, 0, 750344856, 0, 0, 0, 133743912, 0, 0, 0, -910458280, 0, 0, 0, 700489600, 0, 0, 0, 374936504, 0, 0, 0, 400533440, 0, 0, 0, 8253632, 0, 0, 0, 495111240, 0, 0, 0, -99401600, 0, 0, 0, -822678808, 0, 0, 0, 86440768, 0, 0, 0, 1503459784, 0, 0, 0, 1012848768, 0, 0, 0, -301690600, 0, 0, 0, 527262720, 0, 0, 0, -405761592, 0, 0, 0, -67388688, 0, 0, 0, -672549568, 0, 0, 0, -11875000, 0, 0, 0, 1405977832, 0, 0, 0, 12492032, 0, 0, 0, 218497448, 0, 0, 0, -470641992, 0, 0, 0, -296278400, 0, 0, 0, 782054816, 0, 0, 0, -23180824, 0, 0, 0, 372992384, 0, 0, 0, 642621800, 0, 0, 0, -82100600, 0, 0, 0, 1772700680, 0, 0, 0, 87024816, 0, 0, 0, 859818560, 0, 0, 0, -1273639584, 0, 0, 0, 15168000, 0, 0, 0, -229410304, 0, 0, 0, 349125696, 0, 0, 0, -1096542928, 0, 0, 0, 73560704, 0, 0, 0, 1040005300, 0, 0, 0, 209848548, 0, 0, 0, -114031080, 0, 0, 0, 815905664, 0, 0, 0, 610936568, 0, 0, 0, 130825000, 0, 0, 0, 1436172320, 0, 0, 0, -1684839552, 0, 0, 0, 648974328, 0, 0, 0, 677471552, 0, 0, 0, 176210600, 0, 0, 0, 2143607056, 0, 0, 0, -186254784, 0, 0, 0, -111974320, 0, 0, 0, -1149527040, 0, 0, 0, 536078400, 0, 0, 0, -734242248, 0, 0, 0, -500400440, 0, 0, 0, -96769600, 0, 0, 0, 779816392, 0, 0, 0, 415860200, 0, 0, 0, 748031808, 0, 0, 0, 737099224, 0, 0, 0, -79327768, 0, 0, 0, -2276503808, 0, 0, 0, 177442200, 0, 0, 0, 506376408, 0, 0, 0, -1446128792, 0, 0, 0, -1086261568, 0, 0, 0, -333859968, 0, 0, 0, -332920000, 0, 0, 0, -591861552, 0, 0, 0, -641981256, 0, 0, 0, 1309977600, 0, 0, 0, 282185560, 0, 0, 0, -666613600, 0, 0, 0, -829086888, 0, 0, 0, 721442960, 0, 0, 0, -1060907880, 0, 0, 0, 1039923168, 0, 0, 0, 248817600, 0, 0, 0, -82753760, 0, 0, 0, -916075328, 0, 0, 0, -1394052824, 0, 0, 0, -860046216, 0, 0, 0, 223553400, 0, 0, 0, 1501232568, 0, 0, 0, 702048936, 0, 0, 0, -121978688, 0, 0, 0, 1513384868, 0, 0, 0, 101224400, 0, 0, 0, 794147712, 0, 0, 0, -1260894720, 0, 0, 0, 345455816, 0, 0, 0, 904757976, 0, 0, 0, -36955000, 0, 0, 0, -1773582048, 0, 0, 0, -633021248, 0, 0, 0, 457767704, 0, 0, 0, -649070872, 0, 0, 0, -69676000, 0, 0, 0, -668924672, 0, 0, 0, -584318016, 0, 0, 0, -2532316544, 0, 0, 0, 43213280, 0, 0, 0, 520580400, 0, 0, 0, -672242016, 0, 0, 0, -620686680, 0, 0, 0, 1187416248, 0, 0, 0, -1163754784, 0, 0, 0, 402756800, 0, 0, 0, 77844480, 0, 0, 0, 33642488, 0, 0, 0, 108847424, 0, 0, 0, -59275408, 0, 0, 0, -552884000, 0, 0, 0, -359492880, 0, 0, 0, 439394048, 0, 0, 0, -685522304, 0, 0, 0, -1557446200, 0, 0, 0, -294605000, 0, 0, 0, 737392680, 0, 0, 0, 379015216, 0, 0, 0, -1245748608, 0, 0, 0, -812929056, 0, 0, 0, 279314200, 0, 0, 0, -78285160, 0, 0, 0, -16129600, 0, 0, 0, -1438285320, 0, 0, 0, -1795914288, 0, 0, 0, -299136000, 0, 0, 0, -367447008, 0, 0, 0, -1670635712, 0, 0, 0, 2009155968, 0, 0, 0, 614947440, 0, 0, 0, -533700800, 0, 0, 0, 337552800, 0, 0, 0, -1063953144, 0, 0, 0, 825319512, 0, 0, 0, 64291388, 0, 0, 0, 305463400, 0, 0, 0, -1583471064, 0, 0, 0, 2222827328, 0, 0, 0, -783223896, 0, 0, 0, -1197815400, 0, 0, 0, 153500000, 0, 0, 0, 609027328, 0, 0, 0, -363036184, 0, 0, 0, -86555656, 0, 0, 0, 1779317760, 0, 0, 0, -638919900, 0, 0, 0, -643259744, 0, 0, 0, 700632832, 0, 0, 0, 6774024, 0, 0, 0, 1835207264, 0, 0, 0, 432585200, 0, 0, 0, 233059056, 0, 0, 0, 724586560, 0, 0, 0, 1115931992, 0, 0, 0, 21732832, 0, 0, 0, -333257600, 0, 0, 0, -726310104, 0, 0, 0, 367592920, 0, 0, 0, 1630232448, 0, 0, 0, 568328304, 0, 0, 0, -571762600, 0, 0, 0, 128769120, 0, 0, 0, 934421800, 0, 0, 0, 1233960960, 0, 0, 0, -238748064, 0, 0, 0, -114165000, 0, 0, 0, -216898776, 0, 0, 0, 1009848128, 0, 0, 0, 94738112, 0, 0, 0, -1024874472, 0, 0, 0, -1089209000, 0, 0, 0, -284305096, 0, 0, 0, 1147278280, 0, 0, 0, 1214037888, 0, 0, 0, 716177024, 0, 0, 0, -34678400, 0, 0, 0, -1256424064, 0, 0, 0, 1656179584, 0, 0, 0, -424753368, 0, 0, 0, 1998790720, 0, 0, 0, 595014200, 0, 0, 0, -595561896, 0, 0, 0, 2734302720, 0, 0, 0, -1471870088, 0, 0, 0, -1358523640, 0, 0, 0, -324649600, 0, 0, 0, -1509624068, 0, 0, 0, 1146004656, 0, 0, 0, 7943304, 0, 0, 0, 5684768384, 0, 0, 0, -307195000, 0, 0, 0, -3767488, 0, 0, 0, 951635656, 0, 0, 0, 993738456, 0, 0, 0, -1048340640, 0, 0, 0, -533219000, 0, 0, 0, -473895040, 0, 0, 0, -1283028072, 0, 0, 0, -744935832, 0, 0, 0, 1228993368, 0, 0, 0, 1307889600, 0, 0, 0, 1475619840, 0, 0, 0, -1404251592, 0, 0, 0, 3300126144, 0, 0, 0, 1127298528, 0, 0, 0, -135534200, 0, 0, 0, -1249998400, 0, 0, 0, 1273099456, 0, 0, 0, -2360648888, 0, 0, 0, 133162080, 0, 0, 0, 567541600, 0, 0, 0, -614756936, 0, 0, 0, 2933277760, 0, 0, 0, -2202863016, 0, 0, 0, -47489696, 0, 0, 0, -787985000, 0, 0, 0, -603941424, 0, 0, 0, -2060116864, 0, 0, 0, 1107130240, 0, 0, 0, 2144241008, 0, 0, 0, -1080192000, 0, 0, 0, 1951124896, 0, 0, 0, 1051464104, 0, 0, 0, 510264632, 0, 0, 0, -2074889440, 0, 0, 0, -278110200, 0, 0, 0, -326186808, 0, 0, 0, 935301696, 0, 0, 0, 3379377296, 0, 0, 0, -225351552, 0, 0, 0, -20844800, 0, 0, 0, -3531064904, 0, 0, 0, 1348806864, 0, 0, 0, 237932824, 0, 0, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "160.6.a.h", "char_is_minimal": true, "conrey_index": 1, "id": 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], [1, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, 0], [0, 0, 0, 0], [25, 0, 0, 0], [0, 0, 0, 0], [0, -6, 1, 0], [0, 0, 0, 0], [181, 0, 0, 1], [0, 0, 0, 0], [0, -15, -1, 0], [0, 0, 0, 0], [-146, 0, 0, -3], [0, 0, 0, 0], [0, -25, 0, 0], [0, 0, 0, 0], [-190, 0, 0, -3], [0, 0, 0, 0], [0, -57, -9, 0], [0, 0, 0, 0], [2456, 0, 0, 14], [0, 0, 0, 0], [0, 6, -1, 0], [0, 0, 0, 0], [625, 0, 0, 0], [0, 0, 0, 0], [0, -170, 24, 0], [0, 0, 0, 0], [-42, 0, 0, -18], [0, 0, 0, 0], [0, 312, 10, 0], [0, 0, 0, 0], [6448, 0, 0, 7], [0, 0, 0, 0], [0, -150, 25, 0], [0, 0, 0, 0], [4934, 0, 0, -6], [0, 0, 0, 0], [0, 842, -72, 0], [0, 0, 0, 0], [11906, 0, 0, -21], [0, 0, 0, 0], [0, -99, -54, 0], [0, 0, 0, 0], [4525, 0, 0, 25], [0, 0, 0, 0], [0, 408, 79, 0], [0, 0, 0, 0], [30337, 0, 0, 51], [0, 0, 0, 0], [0, 886, -72, 0], [0, 0, 0, 0], [4374, 0, 0, 15], [0, 0, 0, 0], [0, -375, -25, 0], [0, 0, 0, 0], [24960, 0, 0, -15], [0, 0, 0, 0], [0, -411, 185, 0], [0, 0, 0, 0], [-15506, 0, 0, -84], [0, 0, 0, 0], [0, -4246, 93, 0], [0, 0, 0, 0], [-3650, 0, 0, -75], [0, 0, 0, 0], [0, 471, -170, 0], [0, 0, 0, 0], [-2456, 0, 0, -14], [0, 0, 0, 0], [0, -162, 112, 0], [0, 0, 0, 0], [29850, 0, 0, 9], [0, 0, 0, 0], [0, -625, 0, 0], [0, 0, 0, 0], [4432, 0, 0, 243], [0, 0, 0, 0], [0, -1020, -88, 0], [0, 0, 0, 0], [25985, 0, 0, 119], [0, 0, 0, 0], [0, -2997, -52, 0], [0, 0, 0, 0], [-4750, 0, 0, -75], [0, 0, 0, 0], [0, 4218, -432, 0], [0, 0, 0, 0], [52330, 0, 0, -90], [0, 0, 0, 0], [0, 10356, 118, 0], [0, 0, 0, 0], [-133168, 0, 0, -232], [0, 0, 0, 0], [0, -1425, -225, 0], [0, 0, 0, 0], [-14782, 0, 0, -165], [0, 0, 0, 0], [0, -4427, 411, 0], [0, 0, 0, 0]]}