# Stored data for newform 912.4.a.a, downloaded from the LMFDB on 23 May 2024.
{"Nk2": 14592, "analytic_conductor": 53.80974192523544, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, 1], [19, -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": [912, 1, [799, 229, 305, 97], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 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, [12, 1]], [7, [-20, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 67109776, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "912.4.a.a", "level": 912, "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, 3, 19], "level_radical": 114, "minimal_twist": "57.4.a.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-3q^{3}-12q^{5}+20q^{7}+9q^{9}+4q^{11}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "912.4.a", "trace_display": [0, -3, -12, 20], "trace_hash": 201002313073205116, "trace_moments": [{"__RealLiteral__": 0, "data": "0.040", "prec": 17}, {"__RealLiteral__": 0, "data": "0.988", "prec": 17}, {"__RealLiteral__": 0, "data": "0.096", "prec": 17}, {"__RealLiteral__": 0, "data": "1.929", "prec": 17}, {"__RealLiteral__": 0, "data": "0.314", "prec": 17}, {"__RealLiteral__": 0, "data": "4.712", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "traces": [0, 1, 0, -3, 0, -12, 0, 20, 0, 9, 0, 4, 0, -76, 0, 36, 0, 22, 0, 19, 0, -60, 0, -82, 0, 19, 0, -27, 0, 242, 0, 126, 0, -12, 0, -240, 0, -180, 0, 228, 0, -390, 0, -308, 0, -108, 0, 522, 0, 57, 0, -66, 0, -70, 0, -48, 0, -57, 0, -188, 0, -706, 0, 180, 0, 912, 0, -104, 0, 246, 0, 432, 0, 718, 0, -57, 0, 80, 0, -94, 0, 81, 0, 1296, 0, -264, 0, -726, 0, 846, 0, -1520, 0, -378, 0, -228, 0, 830, 0, 36, 0, 1612, 0, 1874, 0, 720, 0, 1932, 0, 1096, 0, 540, 0, 1474, 0, 984, 0, -684, 0, 440, 0, -1315, 0, 1170, 0, 1272, 0, 1166, 0, 924, 0, -2192, 0, 380, 0, 324, 0, 558, 0, -68, 0, -1566, 0, -304, 0, -2904, 0, -171, 0, 576, 0, -990, 0, 198, 0, -1512, 0, -654, 0, 210, 0, -1640, 0, 900, 0, 144, 0, -740, 0, 3579, 0, 171, 0, 582, 0, 380, 0, 564, 0, -2748, 0, 1336, 0, 2118, 0, 2160, 0, 88, 0, -540, 0, 606, 0, -3002, 0, -2736, 0, -4456, 0, 2844, 0, 312, 0, 4840, 0, 4680, 0, -738, 0, 76, 0, 3108, 0, -1296, 0, 3696, 0, 2520, 0, -2154, 0, -1672, 0, 4686, 0, 171, 0, 3036, 0, -4970, 0, -240, 0, -2982, 0, -6264, 0, 282, 0, 522, 0, 3350, 0, -243, 0, -684, 0, -1444, 0, -3888, 0, 2968, 0, -328, 0, 792, 0, -1234, 0, -3600, 0, 2178, 0, 1994, 0, 840, 0, -2538, 0, 7214, 0, -7572, 0, 4560, 0, 76, 0, 6262, 0, 1134, 0, -2710, 0, 556, 0, 684, 0, -7800, 0, -4429, 0, -2490, 0, 3694, 0, 2256, 0, -108, 0, 6232, 0, -6160, 0, -4836, 0, 8472, 0, -3384, 0, -5622, 0, 9666, 0, -6794, 0, -2160, 0, -3242, 0, 968, 0, -5796, 0, 418, 0, -1444, 0, -3288, 0, 10440, 0, -176, 0, -1620, 0, 1248, 0, -4262, 0, -4422, 0, 504, 0, -5720, 0, -2952, 0, -7060, 0, 4746, 0, 2052, 0, 2546, 0, -5184, 0, -1320, 0, 1702, 0, 361, 0, 3945, 0, -8616, 0, 7844, 0, -3510, 0, -1400, 0, 13612, 0, -3816, 0, -18392, 0, -976, 0, -3498, 0, -2152, 0, -960, 0, -2772, 0, 10572, 0, -1804, 0, 6576, 0, 1128, 0, -10910, 0, -1140, 0, 10146, 0, -9576, 0, -972, 0, -720, 0, -13706, 0, -1674, 0, -3760, 0, -15552, 0, 204, 0, -6812, 0, -6724, 0, 4698, 0, 418, 0, -14120, 0, 912, 0, -13876, 0, 342, 0, 8712, 0, -1558, 0, 6526, 0, 513, 0, 5020, 0, -10152, 0, -1728, 0, 9486, 0, -1560, 0, 2970, 0, 18240, 0, -7262, 0, -594, 0, -13968, 0, -4604, 0, 4536, 0, 19480, 0, -2080, 0, 1962, 0, -1232, 0, 361, 0, -630, 0, 12134, 0, 13680, 0, 4920, 0, -9960, 0, 15658, 0, -2700, 0, -2520, 0, 5324, 0, -432, 0, 8640, 0, 9460, 0, 2220, 0, 12178, 0, -19344, 0, -10737, 0, -4746, 0, 14360, 0, -513, 0, -22488, 0, 2088, 0, -1746, 0, 4326, 0, 6328, 0, -1140, 0, 2772, 0, -5443, 0, -1692, 0, 29640, 0, -23184, 0, 8244, 0, 228, 0, 9378, 0, -4008, 0, -13152, 0, 5048, 0, -6354, 0, 4598, 0, -1880, 0, -6480, 0, 752, 0, 23408, 0, -264, 0, -18156, 0, -17688, 0, 1620, 0, 1398, 0, -21180, 0, -1818, 0, -1558, 0, 27186, 0, 9006, 0, 25920, 0, -280, 0, 8208, 0, 10204, 0, 2394, 0, 13368, 0, 9978, 0, -5280, 0, -8532, 0, 11100, 0, -3030, 0, -936, 0, 15780, 0, -10478, 0, -14520, 0, -39672, 0, 2706, 0, -14040, 0, -19734, 0, -21196, 0, 2214, 0, 16920, 0, -17639, 0, -228, 0, -3960, 0, -5040, 0, -9324, 0, -13992, 0, -4332, 0, 3888, 0, -13602, 0, -4628, 0, -11088, 0, 14142, 0, -752, 0, -7560, 0, -14424, 0, 26304, 0, 6462, 0, -24044, 0, 10092, 0, 5016, 0, -4560, 0, -19844, 0, -14058, 0, -2824, 0, -7098, 0, -513, 0, 29762, 0, 16600, 0, -9108, 0, -11748, 0, -6696, 0, 14910, 0, 5320, 0, 30676, 0, 720, 0, 816, 0, -8580, 0, 8946, 0, 31228, 0, -3420, 0, 18792, 0, 32240, 0, -14658, 0, -846, 0, -10332, 0, 3648, 0, -1566, 0, -5502, 0, 37480, 0, -10050, 0, 4598, 0, -6136, 0, 729, 0, -6776, 0, 24442, 0, 2052, 0, -416, 0, -11980, 0, 4332, 0, -15524, 0, -6912, 0, 11664, 0, 38640, 0, -10494, 0, -8904, 0, 11880, 0, -24446, 0, 984, 0, -28650, 0, 21920, 0, -2376, 0, 14288, 0, 6974, 0, 3702, 0, -6170, 0, 2394, 0, 10800, 0, -7410, 0, 1728, 0, -6534, 0, 7848, 0, 17900, 0, -5982, 0, 29480, 0, 53656, 0, -2520, 0, 31358, 0, 11484, 0, 7614, 0, 2872, 0, 19680, 0, -21642, 0, -20210, 0, 8648, 0, 22716, 0, -10800, 0, -5852, 0, -13680, 0, -8940, 0, 17504, 0, -228, 0, -4356, 0, 1528, 0, -18786, 0, 1254, 0, 8880, 0, -3402, 0, 30204, 0, 34175, 0, 8130, 0, -42948, 0, -26300, 0, -1668, 0, 14760, 0, -9218, 0, -2052, 0, -44554, 0, -9828, 0, 23400, 0, 11668, 0, -6984, 0, 13287, 0, -376, 0, 7904, 0, 7470, 0, 25440, 0, 17292, 0, -11082, 0, 4618, 0, 17740, 0, -6768, 0, 24516, 0, 23320, 0, 324, 0, 9918, 0, 32976, 0, -18696, 0, 30492, 0, -1540, 0, 18480, 0, -16032, 0, -8392, 0, 14508, 0, -17004, 0, 5184, 0, -25416, 0, -43840, 0, 46288, 0, 10152, 0, -32832, 0, -3420, 0, 16866, 0, -4978, 0, 1083, 0, -28998, 0, -1056, 0, 39798, 0, 20382, 0, 31662, 0, 31980, 0, 6480, 0, 44744, 0, -54568, 0, 9726, 0, 18626, 0, -7272, 0, -2904, 0, 11160, 0, -13915, 0, 17388, 0, 36024, 0, -30244, 0, -1254, 0, -46572, 0, -1360, 0, 4332, 0, 30162, 0, 3384, 0, 9864, 0, -17792, 0, 53472, 0, -31320, 0, 25256, 0, -9434, 0, 528, 0, -34128, 0, -61286, 0, 4860, 0, -6080, 0, -4136, 0, -3744, 0, -1330, 0, 38950, 0, 12786, 0, 15728, 0, -58080, 0, 13266, 0, 36228, 0, -19624, 0, -1512, 0, -7410, 0, 7144, 0, 17160, 0, -31166, 0, -32298, 0, 8856, 0, -15532, 0, -13758, 0, 21180, 0, 11520, 0, -912, 0, -14238, 0, -28974, 0, -6828, 0, -6156, 0, -37296, 0, -19800, 0, -7638, 0, -20304, 0, -45026, 0, 15552, 0, 3320, 0, -3082, 0, 3960, 0, -43560, 0, -5852, 0, -5106, 0, -98496, 0, -42804, 0, -1083, 0, -30240, 0, 43964, 0, -11835, 0, 25716, 0, 19288, 0, 25848, 0, -2486, 0, -13080, 0, -23532, 0, 47162, 0, 20064, 0, 10530, 0, 7624, 0, 6448, 0, 4200, 0, -56232, 0, -6456, 0, -40836, 0, -3572, 0, 9060, 0, 11448, 0, -4674, 0, 590, 0, 55176, 0, 7496, 0, -36432, 0, 2928, 0, -2288, 0, 18000, 0, 10494, 0, 59640, 0, -22680, 0, 6456, 0, -41810, 0, 24442, 0, 2880, 0, -64296, 0, -13414, 0, 8316, 0, -40760, 0, 35784, 0, -31716, 0, -14800, 0, 664, 0, 5412, 0, 9918, 0, 7728, 0, -19728, 0, -59478, 0, 71580, 0, -3384, 0, -15516, 0, -94380, 0, 32730, 0, -47542, 0, -6264, 0, 3420, 0, 4384, 0, 2702, 0, -30438, 0, -40200, 0, 9504, 0, 28728, 0, 11640, 0, 9106, 0, 2916, 0, -52694, 0, 5740, 0, 2160, 0, 6102, 0, 1083, 0, 41118, 0, 48410, 0, -43838, 0, 5022, 0, 17328, 0, 57716, 0, 11280, 0, 15796, 0, 5896, 0, 46656, 0, -74536, 0, 38458, 0, -612, 0, -54960, 0, -35616, 0, 20436, 0, -19556, 0, -63080, 0, 20172, 0, 3936, 0, 26720, 0, -14094, 0, -49140, 0, -1976, 0, -1254, 0, 55668, 0, -56384, 0, 42360, 0, -10068, 0, 14808, 0, -2736, 0, -27414, 0, 76788, 0, 41628, 0, 43200, 0, 5490, 0, -1026, 0, -6228, 0, 316, 0, -26136, 0, 55844, 0, 1760, 0, 4674, 0, -122512, 0, -23928, 0, -19578, 0, 7868, 0, 34310, 0, -1539, 0, -1330, 0, 14600, 0, -15060, 0, -10584, 0, -38808, 0, 30456, 0, 12120, 0, -142424, 0, 5184, 0, -2068, 0, -86568, 0, -28458, 0, 8208, 0, -60040, 0, 4680, 0, 90864, 0, 15416, 0, -8910, 0, 65058, 0, 126324, 0, -54720, 0, -40404, 0, -18253, 0, 21786, 0, 42268, 0, 5088, 0, 1782, 0, -89120, 0, -67392, 0, 41904, 0, -75144, 0, 13642, 0, 13812, 0, -146832, 0, 56880, 0, -13608, 0, 4664, 0, -30194, 0, -58440, 0, 57892, 0, 32520, 0, 6240, 0, -34194, 0, 28512, 0, -5886, 0, -6672, 0, -83296, 0, 3696, 0, 13794, 0, 5168, 0, -1083, 0, -4204, 0, -58138, 0, 1890, 0, -20298, 0, 93600, 0, -36402, 0, -4932, 0, -8768, 0, -41040, 0, 53148, 0, 40234, 0, -14760, 0, -72380, 0, 57202, 0, 29880, 0, 65772, 0, 45388, 0, -46974, 0, 1520, 0, -44328, 0, 8100, 0, -112024, 0, 100610, 0, 7560, 0, -3572, 0, 62160, 0, -15972, 0, -40050, 0, -23932, 0, 1296, 0, -35490, 0, 49374, 0, -25920, 0, 36708, 0, -74784, 0, -28380, 0, 43968, 0, -1786, 0, -6660, 0, 73920, 0, 2232, 0, -36534, 0, 47584, 0, 18612, 0, 58032, 0, 70200, 0, 7182, 0, 32211, 0, 67612, 0, -13414, 0, 14238, 0, -272, 0, 42588, 0, -43080, 0, 40608, 0, -16940, 0, 1539, 0, 8528, 0, 66512, 0, 67464, 0, -33440, 0, 57496, 0, -6264, 0, -76274, 0, -115992, 0, 5238, 0, -40542, 0, 93720, 0, -12978, 0, 81528, 0, -4832, 0, -18984, 0, -12900, 0, 99940, 0, 3420, 0, 24624, 0, -48940, 0, -8316, 0, -38682, 0, 38904, 0, 16329, 0, 60720, 0, 55440, 0, 5076, 0, -11616, 0, 12826, 0, -88920, 0, 11994, 0, -99400, 0, 69552, 0, -45294, 0, -58246, 0, -24732, 0, 83224, 0, -5016, 0, -684, 0, 81572, 0, -96922, 0, -28134, 0, -96672, 0, 86072, 0, 12024, 0, -59640, 0, -35424, 0, 39456, 0, 67402, 0, 2304, 0, -15144, 0, -8820, 0, -125280, 0, 19062, 0, 18260, 0, -88616, 0, -13794, 0, 2112, 0, -3994, 0, 5640, 0, -3960, 0, 47358, 0, 19440, 0, -97180, 0, -88790, 0, -2256, 0, 10440, 0, -1976, 0, -70224, 0, -58876, 0, 83179, 0, 792, 0, 51144, 0, 67000, 0, 54468, 0, 16074, 0, -36712, 0, 53064, 0, -75834, 0, 56908, 0, -4860, 0, 166592, 0, -6048, 0, -4194, 0, -38134, 0, -45496, 0, 63540, 0, 68640, 0, 35464, 0, 5454, 0, -88718, 0, -14380, 0, 4674, 0, -2616, 0, -28880, 0, -81558, 0, 60876, 0, 84720, 0, -27018, 0, -93960, 0, 139264, 0, -77760, 0, -56952, 0, 108916, 0, 840, 0, 41228, 0, 47582, 0, -24624, 0, 59360, 0, -123204, 0, -30612, 0, 120120, 0, -30552, 0, -7182, 0, -170852, 0, -6560, 0, -40104, 0, 8208, 0, 63922, 0, -29934, 0, -42408, 0, -117952, 0, 15840, 0, 30512, 0, 22000, 0, 25596, 0, 3600, 0, -20424, 0, -33300, 0, -24680, 0, 15802, 0, 9090, 0, -4332, 0, 5168, 0, 2808, 0, -62468, 0, -10260, 0, -47340, 0, 7708, 0, 42504, 0, 31434, 0, 19976, 0, 13642, 0, 43560, 0, -23688, 0, 27052, 0, 119016, 0, -94128, 0, -2960, 0, -8118, 0, 39880, 0, 15770, 0, 42120, 0, -102750, 0, 15357, 0, 59202, 0, 24112, 0, 16800, 0, 63588, 0, 14316, 0, 131768, 0, -6642, 0, -163344, 0, 149556, 0, -50760, 0, 114222, 0, 36042, 0, 52917, 0, -12434, 0, -121612, 0, 684, 0, 144280, 0, 220704, 0, 11880, 0, 81810, 0, -88956, 0, 15120, 0, 11712, 0, -151440, 0, 27972, 0, -54384, 0, 2328, 0, 41976, 0, -11896, 0, -106272, 0, 12996, 0, 137274, 0, 25824, 0, -11664, 0, 30628, 0, 32428, 0, 40806, 0, 1520, 0, -203580, 0, 13884, 0, 49460, 0, 138160, 0, 33264, 0, -43776, 0, 125240, 0, -42426, 0, -25168, 0, -126864, 0, 2256, 0, -63476, 0, 104906, 0, 22680, 0, 21648, 0, 35606, 0, 43272, 0, 12600, 0, 75240, 0, -78912, 0, -54200, 0, -10992, 0, -19386, 0, -37368, 0, -1786, 0, 72132, 0, 133788, 0, 11120, 0, -30276, 0, 130920, 0, -48108, 0, -15048, 0, 5344, 0, 73346, 0, 13680, 0, 152658, 0, 131776, 0, 59532, 0, 86324, 0, -121752, 0, 42174, 0, -22230, 0, -7348, 0, 8472, 0, 114912, 0, -35282, 0, 21294, 0, -160776, 0, -88580, 0, 1539, 0, -21620, 0, -96616, 0, -89286, 0, 36708, 0, 8640, 0, -49800, 0, 55650, 0, 49704, 0, 27324, 0, 164472, 0, -69372, 0, 35244, 0, 73880, 0, -51834, 0, 20088, 0, -28930, 0, 104544, 0, -44730, 0, 22246, 0, 45120, 0, -15960, 0, 4464, 0, 20824, 0, -92028, 0, 24624, 0, -13104, 0, -2160, 0, 45166, 0, -80100, 0, -2448, 0, -161694, 0, -101534, 0, 25740, 0, 124640, 0, 81744, 0, -26838, 0, 46224, 0, 2424, 0, -93684, 0, 80688, 0, -17556, 0, 10260, 0, -94768, 0, -83646, 0, -56376, 0, 173756, 0, -68400, 0, -96720, 0, -12008, 0, 27984, 0, 43974, 0, -59878, 0, 59648, 0, 2538, 0, 169440, 0, 51906, 0, 30996, 0, -141622, 0, -120474, 0, -10944, 0, 28006, 0, -67680, 0, 4698, 0, -37530, 0, 166512, 0, 16506, 0, 25652, 0, -81874, 0, -112440, 0, -4104, 0, -17824, 0, 30150, 0, 56240, 0, 27300, 0, -13794, 0, 193320, 0, 51784, 0, 18408, 0, 33840, 0, 18696, 0, -2187, 0, 11376, 0, -135880, 0, 20328, 0, -78312, 0, -105032, 0, -73326, 0, 54432, 0, -169988, 0, -6156, 0, -77864, 0, 168661, 0, 1248, 0, -130944, 0, -60240, 0, 35940, 0, -64840, 0, -128134, 0, -12996, 0, 16074, 0, -48224, 0, 46572, 0, -68060, 0, 19360, 0, 20736, 0, 193706, 0, -120376, 0, -34992, 0, 65588, 0, -113832, 0, -115920, 0, -44232, 0, 62796, 0, 31482, 0, 18720, 0, 127080, 0, 26712, 0, 8360, 0, 90468, 0, -35640, 0, 155504, 0, -83980, 0, 73338, 0, -3726, 0, -28880, 0, -2952, 0, 21560, 0, -42570, 0, 85950, 0, 87144, 0, -46520, 0, -65760, 0, -22748, 0, -102460, 0, 7128, 0, 48774, 0, -24985, 0, -42864, 0, 29754, 0, 167616, 0, -20922, 0, 38026, 0, 199262, 0, -11106, 0, 55248, 0, -3520, 0, 18510, 0, 12432, 0, -132184, 0, -7182, 0, 208848, 0, 12276, 0, -32400, 0, 92802, 0, -233760, 0, 22230, 0, 7620, 0, 160650, 0, -5184, 0, 24960, 0, -188672, 0, 19602, 0, 201372, 0, -101536, 0, -23544, 0, -171900, 0, -85240, 0, -53700, 0, -1496, 0, 14784, 0, 17946, 0, -153668, 0, -41664, 0, -88440, 0, 24168, 0, -185634, 0, -160968, 0, 125024, 0, -15762, 0, 7560, 0, 10080, 0, 221244, 0, -94074, 0, -37666, 0, -145608, 0, -34452, 0, 85458, 0, -133951, 0, -22842, 0, -164160, 0, 313632, 0, -8616, 0, 26080, 0, 22154, 0, -59040, 0, -68114, 0, 73320, 0, 64926, 0, -125432, 0, 15770, 0, 60630, 0, -141200, 0, -6688, 0, -25944, 0, -187896, 0, 31106, 0, -68148, 0, 84226, 0, 94920, 0, 32400, 0, 139164, 0, -11844, 0, 17556, 0, 18744, 0, 30240, 0, 41040, 0, -182580, 0, -158424, 0, 26820, 0, -63888, 0, 65588, 0, -52512, 0, 50920, 0, -83542, 0, 684, 0, -52788, 0, 18720, 0, 13068, 0, -46056, 0, -103680, 0, -4584, 0, -41648, 0, -36540, 0, 56358, 0, -113520, 0, 12144, 0, -3762, 0, 275340, 0, -73914, 0, -26640, 0, -89872, 0, 228152, 0, 10206, 0, 34040, 0, -146136, 0, -90612, 0, -19880, 0, -78002, 0, -102525, 0, 30628, 0, 7220, 0, -24390, 0, 33928, 0, 12672, 0, 128844, 0, 57904, 0, 63524, 0, 78900, 0, -16538, 0, 56952, 0, 5004, 0, -97462, 0, -81500, 0, -44280, 0, -172320, 0, -176306, 0, 27654, 0, 338656, 0, -11928, 0, 6156, 0, -21780, 0, 156880, 0, 133662, 0, 163296, 0, 35606, 0, 29484, 0, -79292, 0, 204732, 0, -70200, 0, -25056, 0, -216144, 0, -35004, 0, 199238, 0, 143750, 0, 20952, 0, -3990, 0, -120868, 0, -39861, 0, 10602, 0, -51912, 0, 1128, 0, 236910, 0, 272240, 0, -23712, 0, -75936, 0, 14198, 0, -22410, 0, -96910, 0, 217448, 0, -76320, 0, -77760, 0, 2088, 0, -51876, 0, -91554, 0, -33264, 0, 33246, 0, -367840, 0, -1292, 0, -13854, 0, 65316, 0, 249908, 0, -53220, 0, 13400, 0, -19520, 0, 20304, 0, -173390, 0, 996, 0, -73548, 0, 192036, 0, -355680, 0, -69960, 0, -14388, 0, 110312, 0, -972, 0, 36708, 0, -73250, 0, -29754, 0, -43040, 0, 74668, 0, -98928, 0, -19212, 0, -214974, 0, 56088, 0, -14198, 0, -2736, 0, -91476, 0, -269472, 0, -129240, 0, 4620, 0, -112536, 0, -89052, 0, -55440, 0, -187192, 0, -1042, 0, 48096, 0, -5776, 0, 266790, 0, 25176, 0, 211440, 0, 20824, 0, -43524, 0, -105630, 0, 161680, 0, 51012, 0, -60576, 0, -36080, 0, -15552, 0, 25980, 0, -236208, 0, 76248, 0, 40560, 0, -21008, 0, 131520, 0, -75282, 0, -55176, 0, -138864, 0, 106596, 0, 11872, 0, -30456, 0, 22560, 0, 40150, 0, 98496, 0, 19800, 0, -98136, 0, 10260, 0, 133686, 0, -218200, 0, -50598, 0, 107830, 0, -9024, 0, 14934, 0, -134282, 0, 10008, 0, -3249, 0, -280896, 0, -137642, 0, 86994, 0, -31810, 0, 39324, 0, 3168, 0, 202920, 0, -143977, 0, -119394, 0, 200860, 0, 217872, 0, -61146, 0, -164528, 0, -191520, 0, -94986, 0, 28006, 0, -4936, 0, -95940, 0, 10944, 0, 53562, 0, -19440, 0, -73620, 0, -16280, 0, -134232, 0, -85132, 0, -16776, 0, 163704, 0, -14400, 0, 189916, 0, -29178, 0, 254160, 0, 219962, 0, -55878, 0, -254028, 0, -274120, 0, 21816, 0, -368532, 0, -18810, 0, 8712, 0, 78738, 0, -104304, 0, -33480, 0, 102756, 0, 32032, 0, 41745, 0, -326232, 0, -257270, 0, -52164, 0, -10716, 0, 7976, 0, -108072, 0, -28794, 0, -356136, 0, 90732, 0, 167364, 0, -311040, 0, 3762, 0, 273050, 0, -168480, 0, 139716, 0, 3360, 0, 160284, 0, 4080, 0, -95612, 0, 16920, 0, -12996, 0, -221974, 0, 390104, 0, -90486, 0, -136240, 0, -122448, 0, -10152, 0, 26940, 0, 12804, 0, -29592, 0, -28728, 0, -134480, 0, 53376, 0, -230736, 0, 105758, 0, -160416, 0, 154350, 0, 28856, 0, 93960, 0, 127284, 0, -119736, 0, -75768, 0, 70890, 0, 137012, 0, 28302, 0, 8360, 0, 377720, 0, -1584, 0, -30288, 0, -12426, 0, 102384, 0, 453508, 0, -40242, 0, 183858, 0, -280020, 0, -133200, 0, -14580, 0, -108954, 0], "weight": 4, "weight_parity": 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], [1], [0], [-3], [0], [-12], [0], [20], [0], [9], [0], [4], [0], [-76], [0], [36], [0], [22], [0], [19], [0], [-60], [0], [-82], [0], [19], [0], [-27], [0], [242], [0], [126], [0], [-12], [0], [-240], [0], [-180], [0], [228], [0], [-390], [0], [-308], [0], [-108], [0], [522], [0], [57], [0], [-66], [0], [-70], [0], [-48], [0], [-57], [0], [-188], [0], [-706], [0], [180], [0], [912], [0], [-104], [0], [246], [0], [432], [0], [718], [0], [-57], [0], [80], [0], [-94], [0], [81], [0], [1296], [0], [-264], [0], [-726], [0], [846], [0], [-1520], [0], [-378], [0], [-228], [0], [830], [0], [36], [0]]}