# Stored data for newform 1148.4.a.c, downloaded from the LMFDB on 04 June 2024.
{"Nk2": 18368, "analytic_conductor": 67.73419268659022, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [7, -1], [41, 1]], "atkin_lehner_string": "--+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [1148, 1, [575, 493, 785], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 15, "field_disc": 1830651303148925524545591805205023355296410283570939707096, "field_disc_factorization": [[2, 3], [3, 3], [17, 1], [89, 1], [443, 1], [142529, 1], [1931251173263, 1], [2686714768875611, 1], [17098013764056847, 1]], "field_poly": [1052740152, -569503386, -2124774315, 672972471, 982943895, -348573059, -96527282, 35401830, 4412670, -1445580, -102669, 28413, 1158, -270, -5, 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": [[3, [392425976, -920987876, -1670116586, 545760711, 853830440, -131515024, -145574546, 16161411, 8312370, -852850, -207080, 20794, 2352, -235, -10, 1]]], "hecke_orbit": 3, "hecke_orbit_code": 9007199321851004, "hecke_ring_generator_nbound": 13, "hecke_ring_index": 1152, "hecke_ring_index_factorization": [[2, 7], [3, 2]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "1148.4.a.c", "level": 1148, "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": false, "level_primes": [2, 7, 41], "level_radical": 574, "minimal_twist": "1148.4.a.c", "prim_orbit_index": 1, "qexp_display": "q+(1-\\beta _{1})q^{3}+\\beta _{3}q^{5}+7q^{7}+(11-\\beta _{1}+\\cdots)q^{9}+\\cdots", "related_objects": [], "relative_dim": 15, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1148.4.a", "trace_display": [0, 10, 6, 105], "trace_hash": 877715402070032728, "trace_moments": [{"__RealLiteral__": 0, "data": "0.200", "prec": 17}, {"__RealLiteral__": 0, "data": "11.340", "prec": 20}, {"__RealLiteral__": 0, "data": "5.331", "prec": 17}, {"__RealLiteral__": 0, "data": "371.539", "prec": 24}, {"__RealLiteral__": 0, "data": "503.751", "prec": 24}, {"__RealLiteral__": 0, "data": "19514.315", "prec": 30}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "traces": [0, 15, 0, 10, 0, 6, 0, 105, 0, 165, 0, 62, 0, 148, 0, 152, 0, 132, 0, 260, 0, 70, 0, -26, 0, 453, 0, 454, 0, 12, 0, 144, 0, 336, 0, 42, 0, 274, 0, 218, 0, -615, 0, 986, 0, 648, 0, 44, 0, 735, 0, 202, 0, -366, 0, 928, 0, -294, 0, -8, 0, 1396, 0, 1155, 0, 156, 0, -24, 0, 892, 0, 1464, 0, 1174, 0, 318, 0, 434, 0, 1590, 0, 1959, 0, 1970, 0, 2348, 0, 2544, 0, 1972, 0, 1036, 0, 4034, 0, 1070, 0, 954, 0, 3398, 0, 4528, 0, 3306, 0, 1064, 0, 1850, 0, 456, 0, 7046, 0, 2514, 0, 5520, 0, 4252, 0, 924, 0, 4423, 0, -410, 0, 6042, 0, 5428, 0, 1446, 0, 3462, 0, 1820, 0, 7238, 0, 2186, 0, 9020, 0, 4076, 0, 1962, 0, 5516, 0, 490, 0, 6244, 0, 7174, 0, 6582, 0, 4894, 0, 10214, 0, -386, 0, -182, 0, 9376, 0, 2864, 0, 7928, 0, -1045, 0, 12116, 0, 2668, 0, 3171, 0, 1230, 0, -3180, 0, 9282, 0, -2824, 0, 2784, 0, 3002, 0, 3178, 0, 238, 0, 1192, 0, 13016, 0, -1922, 0, 6828, 0, 5228, 0, 84, 0, -246, 0, 6772, 0, 850, 0, 5022, 0, 3678, 0, 4250, 0, 1008, 0, 12668, 0, 2354, 0, 3430, 0, -813, 0, 4206, 0, 13284, 0, 2352, 0, -7574, 0, 926, 0, 5280, 0, 120, 0, 5390, 0, 6868, 0, 294, 0, 15088, 0, -574, 0, 12606, 0, 4344, 0, -5434, 0, 5658, 0, 1918, 0, 840, 0, 14494, 0, -5308, 0, 13266, 0, -14706, 0, 5112, 0, 1526, 0, 19062, 0, 15774, 0, -2694, 0, -7834, 0, 13852, 0, 4140, 0, -4305, 0, 5573, 0, 20310, 0, -2810, 0, -4256, 0, -10776, 0, 7458, 0, 6902, 0, 23872, 0, -13020, 0, 19618, 0, -25492, 0, -174, 0, -7540, 0, 4536, 0, -16928, 0, 11322, 0, 390, 0, -5324, 0, -17198, 0, 2276, 0, 308, 0, 14066, 0, 796, 0, 7548, 0, -24718, 0, -5574, 0, 594, 0, 5145, 0, -30290, 0, 9242, 0, 1588, 0, -36442, 0, -27822, 0, 22446, 0, 1414, 0, 17820, 0, -8577, 0, 13208, 0, -42040, 0, 3452, 0, -6765, 0, -2562, 0, 3176, 0, 2082, 0, -17814, 0, -22822, 0, -46772, 0, 14512, 0, 6496, 0, 36008, 0, -12016, 0, 18790, 0, -58272, 0, -30548, 0, -12574, 0, -2058, 0, -16758, 0, 480, 0, -18342, 0, -36666, 0, -32394, 0, -1502, 0, -56, 0, 40318, 0, -12564, 0, 17950, 0, -35206, 0, -15358, 0, -41976, 0, 9772, 0, -36766, 0, -10584, 0, -21448, 0, -70874, 0, -59174, 0, -7488, 0, 8085, 0, -9870, 0, -14710, 0, -13124, 0, -92294, 0, -2542, 0, -20824, 0, 1092, 0, -20834, 0, -7982, 0, -5910, 0, -41474, 0, -76728, 0, 35566, 0, -168, 0, 14624, 0, -35054, 0, 30816, 0, -64044, 0, -39492, 0, -14076, 0, 6244, 0, -22990, 0, -4074, 0, -61626, 0, -32258, 0, -30468, 0, 32530, 0, 10248, 0, 33710, 0, -41282, 0, 9346, 0, -36354, 0, -50932, 0, -12912, 0, 8218, 0, -25746, 0, -56354, 0, -2690, 0, -70602, 0, -56576, 0, 23740, 0, 2226, 0, 16474, 0, -40253, 0, 12334, 0, -6068, 0, -28158, 0, -13406, 0, 3038, 0, 4752, 0, -12210, 0, -56700, 0, 74, 0, -19874, 0, -20840, 0, 11130, 0, 29192, 0, -25250, 0, 11328, 0, -138196, 0, -32502, 0, 7934, 0, 13713, 0, -25328, 0, -29664, 0, -30404, 0, -58352, 0, -40010, 0, 74074, 0, 13790, 0, 33462, 0, -93876, 0, 20498, 0, -71948, 0, 11144, 0, -49236, 0, 16436, 0, -80738, 0, -23378, 0, -39132, 0, -99834, 0, -36832, 0, 47116, 0, 17808, 0, 41752, 0, -56310, 0, -6232, 0, -74960, 0, -18152, 0, 42880, 0, 13804, 0, -24393, 0, -51124, 0, -2548, 0, -36076, 0, -41032, 0, 27250, 0, 7252, 0, 69192, 0, -49308, 0, 7700, 0, -122496, 0, -43094, 0, 41192, 0, 28238, 0, -2378, 0, -2234, 0, -15080, 0, -36858, 0, 63278, 0, 68910, 0, 7490, 0, 67152, 0, 538, 0, 41654, 0, -50304, 0, -51828, 0, -11938, 0, 6678, 0, -25080, 0, -64888, 0, 49454, 0, -58120, 0, -18188, 0, 74004, 0, 23786, 0, 9300, 0, -5412, 0, 98206, 0, -95312, 0, -17862, 0, 262, 0, 31696, 0, -15708, 0, 25062, 0, 56494, 0, -43936, 0, -15864, 0, 79158, 0, 23142, 0, 30890, 0, -93672, 0, 123538, 0, -161733, 0, 25212, 0, 95898, 0, 7448, 0, -51994, 0, 49070, 0, 82748, 0, -3206, 0, -2828, 0, 112688, 0, 12950, 0, 149374, 0, -143168, 0, 105242, 0, -53322, 0, 17952, 0, -38188, 0, 3192, 0, -30646, 0, 62258, 0, 48318, 0, -76354, 0, -48998, 0, 74674, 0, 49322, 0, -10660, 0, -22810, 0, 187434, 0, -104996, 0, 32646, 0, -10052, 0, 17598, 0, 61194, 0, -1398, 0, 81788, 0, 42176, 0, -59054, 0, 94380, 0, 38640, 0, 60584, 0, -60820, 0, 57882, 0, -81206, 0, -16902, 0, 48614, 0, 29764, 0, -34160, 0, 46764, 0, 77170, 0, -38906, 0, 83630, 0, 139940, 0, 6468, 0, 113458, 0, -4474, 0, 7344, 0, -58023, 0, -120198, 0, 9018, 0, 30961, 0, -13264, 0, -19980, 0, 144660, 0, -28414, 0, -107958, 0, 150880, 0, -2870, 0, 49710, 0, -3128, 0, 152036, 0, -83810, 0, 52370, 0, -51624, 0, 42294, 0, 93298, 0, 73158, 0, 43494, 0, 35874, 0, -51308, 0, 134294, 0, 37996, 0, 61268, 0, -45796, 0, 208062, 0, -42674, 0, 9088, 0, 74462, 0, 10122, 0, 54764, 0, 146514, 0, 165694, 0, -14482, 0, 38920, 0, 265094, 0, 24234, 0, 220792, 0, -175490, 0, 41214, 0, -112064, 0, 5406, 0, 71210, 0, 12740, 0, 39976, 0, 4802, 0, 161136, 0, -85192, 0, -54162, 0, 1066, 0, 50666, 0, 121192, 0, 17212, 0, 102866, 0, -187258, 0, -69304, 0, 148370, 0, 15302, 0, 120867, 0, -30196, 0, 140340, 0, 107100, 0, -55040, 0, 598, 0, 63140, 0, 49476, 0, -3176, 0, 156192, 0, -216546, 0, -41086, 0, 66406, 0, 28532, 0, 134776, 0, 174164, 0, 146552, 0, -122368, 0, 99526, 0, 247244, 0, 13734, 0, 191680, 0, -50090, 0, -4694, 0, 6548, 0, -110664, 0, 51848, 0, 38612, 0, 57666, 0, -48806, 0, 170418, 0, -116342, 0, -18573, 0, 292326, 0, 3430, 0, 90948, 0, 79798, 0, 131838, 0, -190814, 0, 60542, 0, -15126, 0, 43708, 0, 136606, 0, 117164, 0, 207658, 0, -94218, 0, -74762, 0, 102576, 0, 50218, 0, 112520, 0, -119462, 0, 115506, 0, -261404, 0, -91386, 0, 306752, 0, 46074, 0, 30308, 0, 147540, 0, 123984, 0, -86716, 0, -43652, 0, 196558, 0, 34258, 0, 311738, 0, -128777, 0, 13758, 0, -32154, 0, -141404, 0, 40934, 0, 71498, 0, 14024, 0, 13252, 0, 93038, 0, -18614, 0, -23952, 0, 258760, 0, -2702, 0, 85654, 0, 93830, 0, -44438, 0, -171538, 0, 40530, 0, 185766, 0, -1274, 0, 134196, 0, 67616, 0, 119306, 0, -26286, 0, -232506, 0, 111038, 0, 65632, 0, 75568, 0, -250870, 0, 151238, 0, -213722, 0, -35566, 0, 156276, 0, 20048, 0, -42778, 0, 190888, 0, 9228, 0, -139462, 0, 91794, 0, 136926, 0, 55496, 0, -46724, 0, -62014, 0, 5540, 0, -172046, 0, -186060, 0, 92100, 0, -7315, 0, 207958, 0, -10638, 0, -492, 0, -405422, 0, -112568, 0, 253852, 0, 84812, 0, 1764, 0, -34160, 0, -4008, 0, -151742, 0, 98616, 0, 54588, 0, 18676, 0, 189406, 0, -105994, 0, 19434, 0, -156812, 0, -130258, 0, 189526, 0, 22197, 0, -99826, 0, -77424, 0, 3068, 0, -246208, 0, -259334, 0, 151714, 0, 8610, 0, -80828, 0, 117046, 0, 137746, 0, -62874, 0, 36012, 0, 127340, 0, -22260, 0, 115916, 0, -327576, 0, -81976, 0, 54816, 0, -239520, 0, 72848, 0, 64974, 0, 103190, 0, -5904, 0, 61586, 0, -384932, 0, -51822, 0, 185908, 0, -19768, 0, -42434, 0, 166682, 0, -51834, 0, -108680, 0, -82998, 0, 263416, 0, 19488, 0, 65862, 0, -147896, 0, 107658, 0, -152890, 0, 1292, 0, 1634, 0, 21014, 0, -181384, 0, -303504, 0, 124010, 0, -99702, 0, -216208, 0, 160758, 0, 22246, 0, 89046, 0, 159506, 0, 185392, 0, -422868, 0, 111960, 0, -71948, 0, 1666, 0, 77306, 0, -58862, 0, -109454, 0, -123864, 0, -286740, 0, 203444, 0, 8344, 0, -13776, 0, -220908, 0, 232732, 0, -214334, 0, -220416, 0, 168194, 0, 91112, 0, 22036, 0, 37887, 0, -285934, 0, 18706, 0, 53798, 0, -34596, 0, -13454, 0, 83546, 0, -187588, 0, -112250, 0, -83340, 0, -135104, 0, -119372, 0, 47796, 0, -66524, 0, -20746, 0, 75492, 0, -403932, 0, -360004, 0, 270396, 0, 36596, 0, 9720, 0, 55246, 0, 332060, 0, -186482, 0, 26202, 0, -21756, 0, 588, 0, 15258, 0, -207600, 0, -63922, 0, 123694, 0, -323630, 0, -124192, 0, -1722, 0, 244328, 0, 20882, 0, -19732, 0, -190912, 0, 79208, 0, 190796, 0, 47404, 0, -165216, 0, 275096, 0, -310630, 0, -137356, 0, 50002, 0, 167248, 0, 5950, 0, -23174, 0, -54200, 0, 296858, 0, -198090, 0, -480106, 0, -57568, 0, 35154, 0, 84440, 0, -354928, 0, 129950, 0, 18356, 0, -140426, 0, 295496, 0, 25746, 0, 75238, 0, 174640, 0, 187920, 0, -320974, 0, 285092, 0, -32434, 0, 29750, 0, -11660, 0, -7664, 0, -256426, 0, -61036, 0, -433460, 0, -11234, 0, 7056, 0, -127381, 0, -145886, 0, 417872, 0, -346982, 0, -246940, 0, 141612, 0, 88676, 0, -122696, 0, -260602, 0, -170068, 0, -225564, 0, -53282, 0, -216076, 0, 16478, 0, 184132, 0, -255698, 0, 50194, 0, -326864, 0, -200456, 0, 71486, 0, 24010, 0, -227012, 0, -327180, 0, 126630, 0, -163652, 0, -408820, 0, 75960, 0, -5691, 0, -488, 0, 315214, 0, 87238, 0, -129438, 0, -70612, 0, -325592, 0, 29442, 0, -172302, 0, -165330, 0, -166678, 0, -107080, 0, -8938, 0, -389008, 0, 92988, 0, -239344, 0, 88922, 0, 197800, 0, -709662, 0, -52376, 0, 30650, 0, 16464, 0, -194318, 0, 109860, 0, -116274, 0, -329558, 0, 152752, 0, 164886, 0, -53018, 0, 197896, 0, -462848, 0, 12882, 0, -45070, 0, -543470, 0, 135706, 0, 6482, 0, -247858, 0, -158384, 0, -30338, 0, -2720, 0, -238758, 0, -24764, 0, 36960, 0, 128854, 0, 32906, 0, 182724, 0, -419258, 0, 56848, 0, -619152, 0, 840, 0, -48490, 0, -782, 0, -72088, 0, 25215, 0, -555082, 0, 156300, 0, 37730, 0, -207642, 0, -363300, 0, 319358, 0, -383946, 0, -58528, 0, 214944, 0, 48076, 0, 17004, 0, -283902, 0, -303008, 0, 58630, 0, -245916, 0, -278386, 0, 2058, 0, -33268, 0, -438764, 0, -232842, 0, -111912, 0, 104938, 0, -234120, 0, 105616, 0, -292652, 0, -165012, 0, -98972, 0, -279056, 0, -37722, 0, 43012, 0, -4018, 0, -113930, 0, 147310, 0, 264238, 0, -432332, 0, -58182, 0, 60866, 0, 88242, 0, -24866, 0, -382464, 0, -40426, 0, -213586, 0, 27126, 0, -446964, 0, 30408, 0, 239560, 0, -367330, 0, 20156, 0, -503670, 0, 22576, 0, 131454, 0, -38038, 0, 96738, 0, 30672, 0, -290184, 0, -70104, 0, -96886, 0, 13530, 0, 39606, 0, -525726, 0, -170486, 0, 163800, 0, -30448, 0, -135598, 0, -298442, 0, 13426, 0, -19994, 0, -381128, 0, 309228, 0, -6216, 0, 31354, 0, -76030, 0, 5880, 0, 233826, 0, -128876, 0, -121442, 0, -348890, 0, 414868, 0, 148634, 0, 101458, 0, 133368, 0, -26568, 0, -422824, 0, 182355, 0, -531096, 0, 185526, 0, -37156, 0, 135142, 0, -111234, 0, 80256, 0, -48182, 0, -354980, 0, 540012, 0, 92862, 0, -236936, 0, -172122, 0, 95536, 0, 105852, 0, 312222, 0, -387596, 0, -102942, 0, 135466, 0, 219930, 0, 227904, 0, -559338, 0, 42124, 0, 632, 0, 35784, 0, -8472, 0, 96842, 0, 111486, 0, 56014, 0, 341000, 0, 274454, 0, 10682, 0, 150620, 0, 218954, 0, 379812, 0, 4000, 0, 243786, 0, 160598, 0, 133434, 0, -1804, 0, -373362, 0, -17812, 0, 97504, 0, -346666, 0, 5842, 0, 110418, 0, -74866, 0, 29502, 0, 142672, 0, -256964, 0, 580786, 0, -119950, 0, -18858, 0, 51900, 0, 39598, 0, -274396, 0, -267810, 0, -379998, 0, -92318, 0, -54838, 0, -59750, 0, -2194, 0, 283372, 0, -225694, 0, -136936, 0, 26616, 0, 96964, 0, 157490, 0, -133050, 0, 386910, 0, 453032, 0, -139460, 0, 186186, 0, 28980, 0, 131848, 0, 272836, 0, -119956, 0, 52818, 0, 798092, 0, 33154, 0, -30135, 0, -60366, 0, 319012, 0, -60868, 0, 242686, 0, -60226, 0, 79038, 0, 39011, 0, -123657, 0, 324504, 0, 181462, 0, -337756, 0, -221058, 0, 174484, 0, 142170, 0, 93618, 0, -481556, 0, 179520, 0, 465156, 0, 368880, 0, -363444, 0, -19670, 0, 211728, 0, -582914, 0, -141464, 0, 436654, 0, 427806, 0, -65920, 0, -29792, 0, 318626, 0, 381210, 0, -155118, 0, 47718, 0, 183844, 0, 427322, 0, -75432, 0, -243212, 0, 531890, 0, 932588, 0, 141498, 0, 328032, 0, -8282, 0, 52206, 0, 157394, 0, -82940, 0, -103406, 0, -42762, 0, -195968, 0, -238324, 0, 48314, 0, 970206, 0, -270888, 0, 378980, 0, -397276, 0, 344606, 0, 339172, 0, 167104, 0, -51252, 0, 96864, 0, -281442, 0, -237860, 0, -107016, 0, -109560, 0, -91140, 0, -456088, 0, -214422, 0, 263958, 0, 246266, 0, 124888, 0, 669604, 0, 137326, 0, 172686, 0, 1394, 0, 114024, 0, 605160, 0, -139834, 0, -438470, 0, -178444, 0, 563544, 0, 675854, 0, 644216, 0, -282984, 0, 15006, 0, -357050, 0, -1218, 0, 100646, 0, 414100, 0, -267568, 0, 90496, 0, 43696, 0, 40822, 0, -52780, 0, -190572, 0, 85766, 0, 334712, 0, -118282, 0, 212708, 0, 477950, 0, 31752, 0, 348620, 0, -22995, 0, -900678, 0, 117494, 0, -68256, 0, 200804, 0, -118496, 0, -514626, 0, 485524, 0, 89180, 0, 175928, 0, 637860, 0, -208464, 0, 79254, 0, 597418, 0, 282204, 0, -222706, 0, 141722, 0, -362318, 0, -63328, 0, 2730, 0, 290726, 0, 356318, 0, 742618, 0, -38048, 0, -145894, 0, 599946, 0, -37268, 0, 319710, 0, -434892, 0, -257808, 0, 371852, 0, -771334, 0, 103202, 0, -120386, 0, 865554, 0, 132100, 0, 45628, 0, 269780, 0, 231844, 0, -181218, 0, 15932, 0, -562222, 0, -148552, 0, -696040, 0, 287404, 0, 502478, 0, -183216, 0, 2156, 0, -228448, 0, 714998, 0, 393952, 0, 126912, 0, 327192, 0, -66360, 0, 98462, 0, 319376, 0, -87730, 0, 183862, 0, 405962, 0, 28854, 0, 237720, 0, 5572, 0, 930330, 0, 180866, 0, 12054, 0, -696058, 0, 441546, 0, -149336, 0, 52836, 0, 328176, 0, 404874, 0, -326476, 0, -172952, 0, -37588, 0, -33854, 0, -173026, 0, -537194, 0, 80392, 0, 422774, 0, 716014, 0, -165654, 0, 410282, 0, -39018, 0, -7614, 0, -74242, 0, -171276, 0, 478106, 0, -195346, 0, -809920, 0, 4158, 0, 273368, 0, 103278, 0, 413870, 0, 696460, 0, 1037116, 0, 13096, 0, 36015, 0, 160998, 0, 161890, 0, -59600, 0, 541538, 0, 113146, 0, 692134, 0, -212030, 0, 439304, 0, 328, 0, -299814, 0, 493884, 0, 68474, 0, 541402, 0, 64694, 0, -407204, 0, 590856, 0, -132310, 0, 476974, 0, -292302, 0, 58900, 0, 11116, 0, 381868, 0, 392622, 0, -58724, 0, -883160, 0, 783206, 0, -202624, 0, -255094, 0, -114026, 0, 82958, 0, -137376, 0, 185334, 0, -72062, 0, 67880, 0, -194754, 0, 53712, 0, 739710, 0, 145238, 0, 575334, 0, 573492, 0, 365720, 0, 157122, 0, 263268, 0, -38164, 0, -448336, 0, 1597722, 0, -109568, 0, 481438, 0, 9898, 0, -57236, 0, 214868, 0, 612414, 0, 171556, 0, 504508, 0, -387900, 0, 124740, 0, -28804, 0, 786196, 0, -182592, 0, -20998, 0, -9328, 0, -43800, 0, -60039, 0, 277568, 0, 551198, 0, -291824, 0, 162302, 0, 641500, 0, 185324, 0, 92456, 0, 340390, 0, -253496, 0, -275480, 0, 233694, 0, 12048, 0, -298826, 0, -294280, 0, 27396, 0, 485534, 0, 133394, 0, 778384, 0, 760164, 0, 6988, 0, 24164, 0, -229126, 0, 185356, 0, -66608, 0, 1500972, 0, -2218, 0, 487092, 0, -47355, 0, -805208, 0, 1077172, 0, 802750, 0, 147724, 0, 430784, 0, -553694, 0, -17934, 0, 110830, 0, -186085, 0, -723500, 0, 637174, 0, -174674, 0, -336976, 0, 22232, 0, 676070, 0, 281126, 0, -229846, 0, 237018, 0, 415228, 0, -334664, 0, 14574, 0, 395498, 0, -219198, 0, -1397368, 0, 786234, 0, 594502, 0, 357184, 0, -124698, 0, -470288, 0, 394858, 0, 117890, 0, 699290, 0, 1139584, 0, -87408, 0, -159754, 0, -467240, 0, 404786, 0, 175256, 0, 946878, 0, -539324, 0, -6396, 0, -327404, 0, 664014, 0, 246762, 0, 466710, 0, -322780, 0, 574300, 0, -505630, 0, 101584, 0, 319050, 0, -379652, 0, 144148, 0, -93238, 0, -1135764, 0, -170540, 0, 45472, 0, -726568, 0, 298110, 0, -165676, 0, -62938, 0, -515884, 0, 698308, 0, 252056, 0, -933144, 0, -1133552, 0, -200510, 0, 613600, 0, 353148, 0, -68688, 0, -84112, 0, -134444, 0, 1240408, 0, -363736, 0, -154478, 0, 228464, 0, -715032, 0, 131530, 0, 371164, 0, 476074, 0, -3518, 0, 305766, 0, 984, 0, -588274, 0, -407904, 0, -332002, 0, 753240, 0, -7426, 0, 322770, 0, -303836, 0, -165326, 0, -213836, 0, -610740, 0, 484660, 0, -940694, 0, 210596, 0, 460596, 0, -105330, 0, -88018, 0, 6878, 0, -66158, 0, -1426200, 0, -158508, 0, 495920, 0, 44740, 0, -14406, 0, -799154, 0, 150604, 0, -485520, 0, -111808, 0, 462662, 0, -592526, 0, -117306, 0, -483163, 0, 422978, 0, 148596, 0, -207492, 0, -460534, 0, -809944, 0, 3360, 0, 779536, 0, 237550, 0, -156470, 0, -36572, 0, -574666, 0, -727992, 0, -128394, 0, 168920, 0, 301540, 0, 173990, 0, 95670, 0, -107760, 0, -331162, 0, -256662, 0, -43116, 0, -391784, 0, -1300274, 0, 319380, 0, -294544, 0, -928040, 0, -226758, 0, -1106234, 0, 59008, 0, -741072, 0, 5340, 0, 302722, 0, -155062, 0, -10514, 0, 176, 0, -1013170, 0, -815634, 0, 401262, 0, 703952, 0, -90120, 0, -392, 0, -387224, 0, -104548, 0, 62228, 0, 211584, 0, -14712, 0, 154734, 0, 282226, 0, 410836, 0, -285804, 0, -60024, 0, -780928, 0, 6898, 0, -312558, 0, -87948, 0, -769266, 0, 673126, 0, 226732, 0, -39100, 0, 1012756, 0, -1374342, 0, 125650, 0, -35342, 0, -356640, 0, 152732, 0, 216672, 0, -986146, 0, -331484, 0, -246442, 0, -983954, 0, -176686, 0, -658230, 0, 703744, 0, 204202, 0, -809034, 0, -107506, 0, 363844, 0, -758066, 0, 452196, 0, 83624, 0, 714198, 0, -232156, 0, -293832, 0, -757128, 0, -261202, 0, -659956, 0, 611964, 0, 443456, 0, 841750, 0, 68404, 0, -1002978, 0, -48134, 0, -1499432, 0, 1312732, 0, -617450, 0], "weight": 4, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 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, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [11, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [10, 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, 0, 0], [10, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [17, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, -1, -1, 3, 0, 0, 0, 0, 1, -1, 0, 0, 1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [29, 0, 1, 2, 0, 1, 1, -1, 0, 0, 0, 0, -1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [32, -10, 1, 3, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -4, -2, 3, 0, 0, 0, 1, 1, 0, 0, -1, 0, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [10, -6, 0, 2, 0, 0, 1, 1, 0, -1, 1, 1, -1, 2, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [25, -9, 0, 1, 0, 1, 2, 0, 0, -1, -2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [20, -11, 1, 1, 1, -2, 0, 1, -2, 1, 2, 2, -2, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [20, -13, -4, 5, -2, -1, -1, 0, 1, 1, -1, -1, -1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-41, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [64, 0, 4, 4, 2, -2, 1, -3, 4, -1, -2, 1, 3, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [51, -20, -5, 5, -2, 2, 0, 0, 0, 0, 3, -1, -5, -6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, -7, -2, 1, 1, -1, -2, -2, 1, 0, 0, -3, 3, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [49, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [22, -14, -3, -1, 0, -7, -4, 2, -1, 0, 0, -3, 2, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-26, -1, 0, -2, 1, 2, 0, 0, -1, 0, -3, 2, 0, 4, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [60, 0, 0, 11, 2, -2, 0, 2, 0, 1, 1, 0, -3, -5, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-6, -34, -3, -2, -3, -1, 0, 1, -3, 5, 3, 3, -1, -1, -3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, -4, 2, -1, 0, 2, -1, -4, 2, -3, -2, 2, 5, 3, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [94, 3, 3, -9, -1, 3, 2, -4, -3, 2, -1, 1, 1, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [77, -7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [24, -22, -14, 1, -1, -2, -3, 3, -1, -2, 1, -3, 1, -6, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -7, -10, 2, -1, -2, -3, 4, -3, 3, 5, -2, -3, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [63, -12, 10, -13, 4, -1, 1, -1, -2, -3, -5, -1, 1, 6, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [92, -1, 3, 12, 0, -2, 0, 1, 3, 2, -1, 3, 2, 1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [93, -27, -2, -18, 3, 3, 1, 2, 2, -1, -2, -1, 2, 3, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [27, -19, -5, 3, -4, 5, 7, 5, -8, -3, 3, 4, -4, -4, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [28, -7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [108, -9, 12, -15, -3, -2, 3, -6, -5, 3, -3, 8, 9, 11, -3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [141, -36, 1, -8, 6, 0, -2, -2, -1, 1, 2, 0, -1, 2, -3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [128, 6, -2, 12, -8, 3, 1, 4, -2, -2, 2, -1, -8, -9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [171, 10, -15, -11, -4, 1, -2, 2, 8, -3, 0, -11, 3, -6, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [171, -8, 22, -30, 8, 2, -2, -4, 2, -1, -5, -1, 7, 8, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [148, -26, -17, -7, 7, 4, -2, 6, 2, -2, 10, -5, -4, -10, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [70, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [283, -4, 13, -31, -1, -4, 1, -11, 7, -6, -15, -3, 11, 8, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [62, -5, -7, 26, 1, 5, -2, 2, 1, 6, 5, 1, -11, -6, -4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [84, -38, -4, -14, -7, -1, 3, -1, -1, 3, 5, 3, -3, 4, -3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [211, 11, 15, 16, 5, 2, 14, -1, 4, -10, 1, 7, 0, 1, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}