# Stored data for newform 2254.4.a.l, downloaded from the LMFDB on 18 June 2025.
{"Nk2": 36064, "analytic_conductor": 132.99030515293936, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [7, -1], [23, -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": [2254, 1, [1473, 1569], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 276661507156, "field_disc_factorization": [[2, 2], [3347, 1], [3919, 1], [5273, 1]], "field_poly": [-1782, 1593, -28, -92, 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": [[3, [-308, 1266, -294, -82, 5, 1]]], "hecke_orbit": 12, "hecke_orbit_code": 49539595968186574, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 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": "2254.4.a.l", "level": 2254, "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, 23], "level_radical": 322, "minimal_twist": "322.4.a.h", "prim_orbit_index": 1, "qexp_display": "q+2q^{2}+(-1+\\beta _{1})q^{3}+4q^{4}+(-4+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2254.4.a", "trace_display": [10, -5, -22, 0], "trace_hash": 1095458670084631859, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.887", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "65.430", "prec": 20}, {"__RealLiteral__": 0, "data": "3.105", "prec": 17}, {"__RealLiteral__": 0, "data": "1382.093", "prec": 27}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "traces": [0, 5, 10, -5, 20, -22, -10, 0, 40, 54, -44, 42, -20, -107, 0, 122, 80, -218, 108, -194, -88, 0, 84, 115, -40, 219, -214, -203, 0, 33, 244, -19, 160, -240, -436, 0, 216, 214, -388, -243, -176, -395, 0, -284, 168, -470, 230, 493, -80, 0, 438, -244, -428, -70, -406, 186, 0, 22, 66, -226, 488, -1606, -38, 0, 320, 362, -480, 298, -872, -115, 0, -969, 432, -697, 428, -1065, -776, 0, -486, 186, -352, -335, -790, 1104, 0, -1344, -568, 1603, 336, 814, -940, 0, 460, -3423, 986, -2812, -160, 256, 0, -2616, 876, 790, -488, 648, -856, 0, -140, 1170, -812, 64, 372, 326, 0, -2476, 44, -506, 132, 2006, -452, 0, 976, 1373, -3212, -4487, -76, -1026, 0, -831, 640, 1732, 724, 1205, -960, 0, 596, -2390, -1744, 1580, -230, 1373, 0, -6943, -1938, -1410, 864, -348, -1394, 0, 856, 1026, -2130, -593, -1552, -3208, 0, -2302, -972, -4754, 372, 6566, -704, 0, -670, -4123, -1580, -3648, 2208, -7916, 0, -5704, -2688, -2260, -1136, -174, 3206, 0, 672, -2448, 1628, -6763, -1880, -248, 0, -5310, 920, -8520, -6846, 5814, 1972, 0, -5624, 5630, -320, 1761, 512, -4582, 0, -4595, -5232, -4758, 1752, 3756, 1580, 0, -976, -5842, 1296, 1242, -1712, -11532, 0, -6900, -280, -9669, 2340, 8892, -1624, 0, 128, 2307, 744, 6360, 652, -2238, 0, -8526, -4952, -12652, 88, 518, -1012, 0, 264, 6411, 4012, 1982, -904, -16976, 0, -12321, 1952, -8996, 2746, 8154, -6424, 0, -8974, 686, -152, 2992, -2052, -1120, 0, 966, -1662, -11734, 1280, -4895, 3464, 0, 1448, -4118, 2410, 15594, -1920, -22380, 0, -16116, 1192, -3861, -4780, 15822, -3488, 0, 3160, -342, -460, 8929, 2746, -8820, 0, 4140, -13886, -19246, -3876, 13820, -2820, 0, 1728, 4655, -696, 14328, -2788, -24568, 0, -10680, 1712, -10062, 2052, -2461, -4260, 0, -1186, -2446, -3104, 22400, -6416, -1792, 0, 1068, -4604, -9365, -1944, -4662, -9508, 0, 744, 5898, 13132, 16326, -1408, -21358, 0, 5936, -1340, -16305, -8246, 8556, -3160, 0, -7296, -21839, 4416, 34480, -15832, 4314, 0, 14364, -11408, -3156, -5376, 288, -4520, 0, -2272, 2806, -348, 26696, 6412, -16889, 0, 2779, 1344, -20213, -4896, 18858, 3256, 0, -13526, -3854, -3760, 8717, -496, -1877, 0, 6234, -10620, 18104, 1840, 5906, -17040, 0, -13692, -7786, 11628, 23972, 3944, 169, 0, -5876, -11248, 9549, 11260, 6432, -640, 0, 3522, -40688, 1024, 13720, -9164, -5014, 0, 31609, -9190, 5630, -10464, 15081, -9516, 0, 3504, -3982, 7512, -8059, 3160, 10024, 0, -35544, -1952, 19875, -11684, 11636, 2592, 0, 2484, -44060, -3424, 139, -23064, -7516, 0, 4856, -13800, 33380, -560, -15364, -19338, 0, 4680, -10986, 17784, 11520, -3248, 6794, 0, -33354, 256, -4462, 4614, 25917, 1488, 0, 12720, 25943, 1304, -26564, -4476, 46370, 0, -25970, -17052, 17586, -9904, 39751, -25304, 0, 176, -24688, 1036, 12036, -2024, -22437, 0, -5340, 528, 50440, 12822, -11066, 8024, 0, 3964, -4552, -1808, 9252, -33952, 32282, 0, 1028, -24642, 32024, 3904, 15142, -17992, 0, 5492, 41128, 16308, -37295, -12848, -15995, 0, 4365, -17948, 26554, 1372, 45102, -304, 0, 5984, -39589, -4104, -10524, -2240, -44950, 0, -21492, 1932, 12046, -3324, -8841, -23468, 0, 2560, 31602, -9790, -2576, 6928, -10236, 0, -51802, 2896, -10280, -8236, 20536, 4820, 0, 31188, -7824, -3840, 2645, -44760, -35220, 0, 25593, -32232, 10008, 2384, 58233, -7722, 0, -9560, -30331, 31644, 24886, -6976, 17440, 0, -68791, 6320, 10842, -684, -30162, -920, 0, 17858, -2280, 5492, -13136, -17640, -27664, 0, -696, 8280, -48136, -27772, 81840, -38492, 0, -7752, 33294, 27640, -7716, -5640, -43906, 0, 5037, 3456, -24333, 9310, 26569, -1392, 0, 28656, -44700, -5576, 12780, -49136, 1371, 0, 40382, -21360, 23669, 3424, -35462, -20124, 0, 4104, 13322, -4922, 29372, -8520, -10473, 0, 7940, -2372, -57190, -4892, 43892, -6208, 0, 44800, 12713, -12832, 8732, -3584, -16002, 0, 706, 2136, -19064, -9208, -4669, -18730, 0, -3888, -4855, -9324, 75948, -19016, -7464, 0, 4172, 1488, -19000, 11796, -43518, 26264, 0, 32652, -6182, -2816, 3420, -42716, -21930, 0, 34436, 11872, -8667, -2680, 70938, -32610, 0, -16492, 42191, 17112, 27330, -6320, 47450, 0, -16404, -14592, -35026, -43678, 13756, 8832, 0, 68960, 759, -31664, 16200, 8628, 11958, 0, 23983, 28728, 703, -22816, -21346, -6312, 0, -10752, 72128, 576, 20737, -9040, 59420, 0, -39524, -4544, -11422, 5612, 29588, -696, 0, 53392, 14458, 12824, 77908, -33778, -12527, 0, 76076, 5558, 30196, 2688, 44380, -40426, 0, -9792, -63876, 37716, 62420, 6512, -437, 0, 9768, -27052, 14047, -7708, -43808, -7520, 0, 17434, 84490, -992, -45625, -3754, 22346, 0, -92067, 12468, -32068, -21240, 51404, 36208, 0, 3680, 41964, 11812, -1703, -34080, 56742, 0, 82564, -27384, 55860, -15572, -22680, 23256, 0, 47944, -29648, 7888, 13844, 338, 53990, 0, 7546, -11752, -5520, -22496, -19917, 19098, 0, 22520, 105292, 12864, -3664, -1280, 18576, 0, 70777, 7044, -83330, -81376, 109357, 2048, 0, 27440, 3022, -18328, -22650, -10028, 427, 0, -60556, 63218, 81540, -18380, -98728, 11260, 0, -20928, 71038, 30162, 3284, -19032, 127096, 0, -53356, 7008, 65212, -7964, -78198, 15024, 0, -16118, 92879, 6320, -72182, 20048, -76967, 0, -12536, -71088, 19674, -3904, 26624, 39750, 0, -23368, -83442, 23272, -46665, 5184, 129696, 0, 27360, 4968, 41130, -88120, 60699, -6848, 0, 278, 76436, -46128, -11693, -15032, 70268, 0, -37424, 9712, -37140, -27600, 51700, 66760, 0, -1120, 131790, -30728, 4922, -38676, 21814, 0, -38968, 9360, -22383, -21972, -6193, 35568, 0, 23040, 14801, -6496, 9852, 13588, 68759, 0, -75684, -66708, 11498, 512, -16686, -8924, 0, 9228, 10050, 51834, -40088, 2976, -24050, 0, -26732, 25440, -34610, 51886, 42995, 2608, 0, -53128, 96186, -8952, -37290, 92740, -26254, 0, -5589, -51940, -83477, -34104, 41556, 35172, 0, -19808, 49668, 79502, -6786, -50608, 102720, 0, -39246, 352, -36, -49376, -68814, 2072, 0, 24072, 23748, -4048, -34440, -44874, 20183, 0, -65098, -10680, -115484, 1056, -40323, 100880, 0, 25644, 45013, -22132, -145032, 16048, 103340, 0, 15792, 7928, -57362, -9104, -9085, -3616, 0, 18504, -19941, -67904, 45779, 64564, -26928, 0, 14434, 2056, -79016, -49284, -85122, 64048, 0, 7808, 24422, 30284, 84020, -35984, 68270, 0, -66139, 10984, 79176, 82256, -11186, 32616, 0, -74590, 52455, -25696, -45418, -31990, -1962, 0, -11092, 8730, -2142, -35896, 40038, 53108, 0, 2744, -6532, 90204, 67588, -608, 46273, 0, 113556, 11968, -41806, -79178, 57878, -8208, 0, -21048, 137144, -4480, -108480, -89900, 152140, 0, 12126, -42984, -165096, 3864, -67071, 24092, 0, -6648, 20700, -17682, 88110, -46936, 39867, 0, 176298, 5120, -47773, 63204, 30682, -19580, 0, -5152, -40692, 13856, 100408, -20472, -10810, 0, 58540, -103604, 78347, 5792, -156512, -20560, 0, -16472, 73608, 41072, 49475, 9640, 124910, 0, -19591, 62376, -17959, -15648, -14508, -7680, 0, 5290, -3789, -89520, -156385, -70440, -10122, 0, 98354, 51186, 23514, -64464, 36932, 20016, 0, 4768, -10334, 116466, 139920, -15444, 157256, 0, -61332, -19120, 11339, -60662, -207765, 63288, 0, 49772, 13793, -13952, -58374, 34880, 76084, 0, 68545, -137582, -22490, 12640, 86334, 21684, 0, -1368, -30512, -60324, -135014, -1840, 103988, 0, 5827, 35716, 116280, -4560, -83112, 10984, 0, -26272, 31728, -35280, -96058, -55328, 221574, 0, -13952, -1392, -31150, 16560, -26474, -96272, 0, -55544, 72613, 163680, -40771, -76984, 6576, 0, 31700, -15504, 94750, 66588, 47158, 55280, 0, -15432, -50250, -11280, -196596, -87812, -115014, 0, -163536, 10074, 86894, 6912, 58465, -48666, 0, 18620, 36068, 53138, -78628, -2784, -24304, 0, 143656, 57312, 12704, -89400, 66364, -11152, 0, 25560, 62478, -98272, -5612, 2742, -8711, 0, -80736, 80764, -143520, -42720, -155978, 47338, 0, 6848, 180360, -70924, -58182, -40248, 44205, 0, -31907, 8208, 3892, 26644, 63438, -9844, 0, 58744, -222564, -17040, 70214, -20946, -218518, 0, 194596, 15880, -67944, -4744, 74457, -114380, 0, -9784, -24508, 87784, -15768, -12416, -29904, 0, -1610, 89600, -104928, 25426, -70423, -25664, 0, 17464, 142375, -7168, -236688, -32004, -66088, 0, 133164, 1412, 83988, 4272, -28073, -38128, 0, -18416, -43044, -9338, 66984, -37460, 70700, 0, -69796, -7776, -110810, -9710, -173842, -18648, 0, 151896, -448, -38032, -90984, -14928, 90104, 0, -17808, 8344, 11332, 2976, 4278, -38000, 0, 23592, -76337, -87036, 12057, 52528, -138644, 0, 111776, 65304, 287, -12364, 47630, -5632, 0, 6840, 62575, -85432, 133102, -43860, 152232, 0, -16517, 68872, -33373, 23744, -83944, -17334, 0, -5360, 71887, 141876, 24394, -65220, 46433, 0, -51572, -32984, 176270, 84382, -63234, 34224, 0, 54660, 506, -12640, 47366, 94900, -37118, 0, 187367, -32808, -37512, -29184, -56450, -70052, 0, -87356, 60006, 27512, 62639, 17664, 182075, 0, 92208, 137920, 180164, 1518, 74706, -63328, 0, 32400, -135972, 17256, 11240, 23916, -152606, 0, 265890, 47966, -231556, 57456, 42226, 1406, 0, -45632, -22554, -42692, 13248, -12624, -5198, 0, -3146, -21504, 118359, 144256, -115693, 1152, 0, 41474, -213398, -18080, 124723, 118840, -86492, 0, -124565, -79048, 34380, -9088, 94292, -22844, 0, 11224, -119733, 59176, 39311, -1392, 66520, 0, 42666, 106784, 49792, 28916, 16158, 25648, 0, 155816, -101268, -67556, -135162, -25054, -65106, 0, -148810, 152152, -36938, 11116, -153936, 60392, 0, 5376, -193923, 88760, 70844, -80852, 59516, 0, 117728, -19584, -87520, -127752, 232008, 75432, 0, 124840, -484, 13024, -326294, -874, 10415, 0, -50841, 19536, 191162, -54104, -119506, 28094, 0, -15416, 107424, -87616, 10645, -15040, 157068, 0, 20294, 34868, 218464, 168980, 105482, -1984, 0, -91250, 124104, -7508, -78630, 44692, -136298, 0, 77905, -184134, 6152, 24936, 62457, -64136, 0, -42480, 27564, 102808, -8882, 72416, 129688, 0, -214410, 7360, 109341, 83928, 34400, 23624, 0, -3406, -107476, -68160, -40034, 113484, -235716, 0, -1728, 165128, 39612, -54768, 136426, 111720, 0, -31144, 26698, -45360, 8326, 46512, 59215, 0, -252861, 95888, 67820, -59296, -102154, 15776, 0, 27688, 24180, 676, 57302, 107980, 10147, 0, 52288, 15092, -2960, -23504, 28694, -11040, 0, -44992, -179904, -39834, 42860, 38196, -235820, 0, 127899, 45040, 164808, 210584, 76493, 25728, 0, -7328, -148728, -2560, 49114, 37152, -112298, 0, 6854, 141554, -253395, 14088, 241728, -166660, 0, -162752, -46893, 218714, -42582, 4096, 51122, 0, 32094, 54880, 154948, 6044, -9947, -36656, 0, -45300, -100568, -20056, -138124, 854, -148025, 0, -31304, -121112, 150622, 126436, -57059, 163080, 0, -36760, 185416, -197456, -144370, 22520, 244066, 0, 171202, -41856, 66590, 142076, -2645, 60324, 0, 6568, -368344, -38064, 272, 254192, -313776, 0, 151308, -106712, 34205, 14016, 45214, 130424, 0, -15928, 238600, -156396, -34602, 30048, 150138, 0, -198226, -32236, 204470, 185758, 326440, 12640, 0, -144364, -144475, 40096, 127846, -153934, -293153, 0, 20896, -25072, -26666, -142176, 156444, 39348, 0, -7808, -22287, 53248, 310764, 79500, 123767, 0, -212508, -46736, 95765, -166884, -94030, 46544, 0, -93330, -76842, 10368, -120272, 259392, -66219, 0, 193886, 54720, 38102, 9936, 201171, 82260, 0, -176240, -288006, 121398, 212508, -13696, -114720, 0, 191044, 556, -270462, 152872, 218680, -92256, 0, -23386, -209774, -30064, 39176, 140536, -16031, 0, -43164, -74848, 65766, 19424, -274200, -74280, 0, -55200, 42352, 103400, 26312, 133520, -251184, 0, -245280, -2240, 169150, 263580, 13222, -61456, 0, 9844, -133339, -77352, 143868, 43628, -19794, 0, -89010, -77936, 184734, 18720, -134692, -44766, 0, -43944, -22740, -12386, -2636, 71136, -182964, 0, -242782, 46080, -24495, 29602, -229062, -12992, 0, 19704, 59579, 27176, 105805, 137518, -287676, 0, 137954, -151368, 84618, -133416, 27135, 22996, 0, 1024, 8590, -33372, -82542, -17848, 100536, 0, -144800, 18456, 121782, 20100, 91714, 103668, 0, -80176, -155012, 5952, 192385, -48100, -195488, 0, -64274, -53464, -233490, 50880, -23900, -69220, 0, 103772, 170358, 85990, 116409, 5216, -138529, 0, 23578, -106256, 85924, 192372, 310725, -17904, 0, -74580, -18340, 185480, 76810, -52508, -94764, 0, 175626, -11178, 251130, -103880, -315732, -166954, 0, -68208, 59274, 83112, 285551, 70344, 56074, 0, -166961, -39616, -38154, 99336, -364796, 159004, 0, -13572, -42682, -101216, 4278, 205440, -251756, 0, -304588, -78492, -49027, 704, -175459, -72, 0, -98752, 42488, -137628, -165738, 4144, -34987, 0, -23268, 48144, 54582, 47496, 125868, -8096, 0, -68880, -241112, -89748, 249208, 40366, -381030, 0, 137281, -130196, -105166, -21360, -431436, -230968, 0, 2112, -51540, -80646, 42816, 201760, -192368, 0, -7705, 51288, -20484, 90026, 63014, -44264, 0, -290064, -131324, 32096, 138422, 206680, -162247, 0, 225890, 31584, 4426, 15856, -196032, -114724, 0, -18208, 83858, -18170, -5364, -7232, -52910, 0, -34038, 37008, -75778, -39882, -377290, -135808, 0, 91558, 19284, 129128, -41438, -53856, -130908, 0, 188730, 28868, -292868, 4112, 25392, -158032, 0, -98568, -198250, -170244, -67532, 128096, -98423, 0, 39156, 15616, 1020, 48844, -104148, 60568, 0, 168040, 39533, -71968, 338410, 136540, -11698, 0, -68755, -132278, -101524, 21968, -95506, 158352, 0, 164512, 276689, -22372, 232554, 65232, -262672, 0, 48900, -149180, 31152, 104910, 13360, -51392, 0, -90836, -30912, -63980, 209592, -3924, -338441, 0, 397484, -22184, -78393, 17460, -230580, -4284, 0, -71792, 102, 80076, 71961, 106216, -220579, 0, 133162, 5488, -184476, -13064, 83633, 180408, 0, 135176, -218226, -1216, -76398, 92546, -272991, 0, -17044, 227112, -290310, 23936, -348910, -83612, 0, -158356, 63926, 115756, 5048, -16416, 36869, 0, 130805, -42096, -279652, 274288, -305068, -8960, 0, -216960, 217900, -179800, -163104, 304280, 27258, 0, 33503, 24252, -72319, -85968, -126588, -330192, 0, 7728, -17413, -134142, -46124, 48184, -139712, 0, -215098, -13296, 13092, 41400, 284892, -35364, 0, 176220, -160158, -93872, 149552, 79734, -504440, 0, 123766, 352596, 18722, 10240, 185305, -95546, 0, 126408, -193366, 61364, -343988, -39160, 297646, 0, -322725, -10304, 176860, -81384, -238583, 27712, 0, 200816, 172146, -40944, -211094, -21620, 361920, 0, 241068, 117080, 296772, -207208, -311084, 156694, 0, 11584, -93036, -313024, 181289, -41120, 140264, 0, 121630, -32944, -18008, 147216, 269240, 82144, 0, 98950, -4760, 19280, -270614, 249820, -262127, 0, 35472, -39182, 82264, 124752, -30896, -35918, 0, -31296, -82588, -29016, -207493, -15360, 41076, 0, -269008, 10580, -109509, -7578, 193965, -179040, 0, -312770, -474210, -140880, 97820, -20244, 182320, 0, -59697, 196708, -201248, 102372, -105826, 47028, 0, -128928, 285836, 73864, -78729, 40032, 255421, 0, -482724, 9536, 67356, -20668, -435632, 232932, 0, 279840, -316394, -30888, -255546, 314512, -525248, 0, -178904, -122664, -3828, -38240, -73140, 22678, 0, -121324, -368128, -415530, -11814, 126576, -148380, 0, 193100, 99544, -31198, 27586, 286185, -27904, 0, -116748, -298506, 69760, -170674, 152168, -257200, 0, -64676, 137090, -52539, -275164, -123732, -44980, 0, 25280, -17428, 172668, -325738, 43368, 269087, 0, -570540, -2736, 403191, -61024, -97605, -120648, 0, -270028, -46858, -3680, -40826, 207976, -380436, 0, -2284, 11654, -36418, 71432, -79795, 232560, 0, -9120, -70131, -166224, -300988, 21968, 14324, 0, 3752, -52544, -565634, 63456, 5888, -70560, 0, -192116, -80700, -110656, -341109, 443148, -60213, 0, 186068, -27904, -19147, -2784, -419754, -62300, 0, 33120, 117402, -52948, -171810, -192544, 610758, 0, -268968, -111088, -151864, 145226, 422332, 327360, 0, -81542, -168509, -153968, 59142, 13152, -115639, 0, 14610, 63400, -298286, -31008, -239534, 189500, 0, 133176, -60168, 94316, -226888, 110560, -374875, 0, -151293, -30864, -190012, -100500, 24220, -22560, 0, -393192, -488118, -175624, 111335, -230028, 294820, 0, 349476, -327072, 26590, 20148, 36156, 173788, 0, 13824, -300862, 116930, 328510, -97332, -169346, 0, -487390, 37240, -499042, 72136, -402688, 106276, 0, -157256, -276136, -5568, -215940, -48608, 18170, 0, -228869, 287312, 38513, 114624, -160448, 25408, 0, -178800, -136410, 132728, -458268, -22304, 457510, 0, 21440, 51120, -238619, 124956, 323958, -196544, 0, -11224, -232604, 5484, 231965, -17422, -15286, 0, 68354, -161472, 70558, 161528, 101704, -287040, 0, -85440, 59388, -311956, -70536, 94676, 14376, 0, -357576, 13696, 14904, 360720, 28749, -141848, 0, -116364, -179208, -80496, -298915, 88410, -88730, 0, -38226, -63814, 749158, 16416, 36732, 7784, 0, 53288, 339360, 126876, -227314, -19688, -78774, 0, -118340, 117488, 204054, -445128, 290212, -34080, 0, 140428, -19384, -41892, 278444, -437036, 104968, 0, -152598, 389192, 149598, 31760, 524982, -135888, 0, -9488, -282215, 148914, 356276, -228760, 187750, 0, 418024, -19568, -254026, -49016, 391822, 175568, 0, -31536, -135228, -24832, -210019, -59808, -19210, 0, 288774, -3220, -193684, 179200, -534913, -209856, 0, 50852, -321146, -140846, 481441, -51328, 436960, 0, -491360, 34928, -256170, 284750, 300262, -14336, 0, -473376, 56746, -64008, 26910, -132176, 125716, 0, -251868, 266328, 344559, 2824, -207457, 167976, 0, 8544, -39703, -56146, -488208, -76256, -94495, 0, 49048, -36832, 113464, -86088, -187862, -18676, 0, 133968, -357162, -74920, -289362, 141400, -453406, 0, 226526, -139592, 444010, -15552, 284208, -221620, 0, -19420, 297042, -347684, -228870, -37296, -177222, 0, 1472, 303792, -81751, -896, -25773, -76064, 0, -181968, 176472, -29856, -481768, 180208, 64206, 0, -468794, -35616, -109914, 16688, -198754, 22664, 0, 5952, 514816, 8556, -103691, -76000, -512428, 0, -117212, 47184, 12716, -152674, 414974, -174072, 0, 24114, -151641, 105056, 375934, -277288, 161244, 0, -148568, 223552, -94788, 130608, 7498, 574, 0, -24728, -288129, 95260, -139310, -11264, 327245, 0, 279882, 13680, 148108, 125150, -530644, -170864, 0, 266204, 419781, -87720, 93696, 304464, 731872, 0, 290637, -33034, -308693, 137744, -74674, -66746, 0, 47488, 565956, -167888, 30522, -34668, 136761, 0, 301998, -10720, 292538, 143774, 417604, 283752, 0, 48788, -56948, -130440, -445498, 92866, -633672, 0, 243808, -103144, 267588, -65968, -27576, 352540, 0, 168764, -195014, -126468, 453740, 68448, 121257, 0, -133820, 109320, -216590, 1012, -75300, -25280, 0, 94732, -356238, 189800, 432138, -74236, 18352, 0, 143094, 374734, 52970, -65616, -318694, -75024, 0, -58368, -70526, -112900, 433248, -140104, -11638, 0, -480204, -174712, 31280, 120012, -438774, 55024, 0, 125278, 629328, 35328, -294561, 364150, 139752, 0, 74301, 184416, -161595, 275840, 364022, 360328, 0, 3036, 300896, 149412, 483081, -126656, 227130, 0, 187330, 64800, -162018, -271944, 401222, 34512, 0, 22480, -82322, 47832, -524198, -305212, -314988, 0, 226964, 531780, 46138, 95932, -241470, -463112, 0, 114912, 199541, 84452, -289337, 2812, 458746, 0, -24696, -91264, 438808, -45108, -332558, -85384, 0, 26496, 331528, -25248, 361798, -10396, -90298, 0, 130380, -6292, 45380, -43008, 586470, 236718, 0, 288512, 569444, -231386, 106246, 2304, -439674, 0, 415348, 82948, 331744, -426796, 311330, -36160, 0, 249446, 312000, 237680, -200698, -172984, 188804, 0, 167164, -249130, 108686, -158096, 285837, 68760, 0, -18176, 209433, 188584, 582084, -45688, 978050, 0, 131512, 22448, -392040, -239466, -381158, 118352, 0, 78622, 390500, -2784, 86915, 133040, 499356, 0, -335380, 85332, -689330, 213568, -393118, 99584, 0, 57832, -16428, 32316, 31579, 51296, 163848, 0, -356159, 311632, -136519, -202536, 114775, -135112, 0, -270324, -407952, -50108, -345510, -130212, -489382, 0, 183245, -297620, 76580, 304304, 153648, -73876, 0, 22232, 528787, -307872, 368886, 120784, 151454, 0, 457596, 10752, 489436, -387846, 231564, 177520, 0, 141688, -178572, -161704, -708220, 119032, 318258, 0, -103201, 235456, -28956, -39168, 322341, -175040, 0, -255504, 195103, 464016, 308528, 150864, 550143, 0, 648454, 249680, -22664, -968, 2639, 26048, 0, -652588, 383570, -1748, 531100, 20830, -753100, 0, 745286, -101682, -252010, 39072, -374041, 382324, 0, -108208, 666712, -239012, 342806, 56188, 220386, 0, -139620, -30832, 194226, 214848, -23598, -175232, 0, 21290, 577052, -30080, -331388, 314136, 349210, 0, 167942, 40588, 497228, 69736, -204222, 436928, 0, 337960, 756564, 210964, 336802, -3968, 659844, 0, -312128, -182500, -479879, 248208, -77312, -15016, 0, -157260, -201424, 89384, 298636, -272596, -35425, 0, 427946, 155810, -154020, -368268, 144418, 12304, 0, 49872, -19113, 124914, 142464, -128272, 47710, 0, 528968, -84960, -32270, 55128, -697694, 205616, 0, -17764, -836002, 144832, -20760, 259376, 290378, 0, -243604, -428820, 117868, 14720, -664244, 218682, 0, 167856, 402834, 68800, 33116, 47248, 78803, 0, -787466, -6812, -81755, -214952, -228522, -136320, 0, -80068, -372210, 226968, 8408, -471432, 39836, 0, -69370, -3456, 136883, 330256, -347856, 79224, 0, -109536, 180132, 272852, -119370, 223440, 556602, 0, 704112, -62288, 24628, 53396, -325420, -90720, 0, 16652, 247206, 93024, -76317, 118430, -516028, 0, -584102, -505722, -131225, 191776], "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], [1, 0, 0, 0, 0], [2, 0, 0, 0, 0], [-1, 1, 0, 0, 0], [4, 0, 0, 0, 0], [-4, 1, 0, 0, 1], [-2, 2, 0, 0, 0], [0, 0, 0, 0, 0], [8, 0, 0, 0, 0], [11, -2, 1, 1, 0], [-8, 2, 0, 0, 2], [9, 0, -3, 0, 0], [-4, 4, 0, 0, 0], [-21, -2, 0, 1, 0], [0, 0, 0, 0, 0], [23, -6, 3, -2, 0], [16, 0, 0, 0, 0], [-44, -3, -4, 1, -4], [22, -4, 2, 2, 0], [-42, -4, 4, -2, -4], [-16, 4, 0, 0, 4], [0, 0, 0, 0, 0], [18, 0, -6, 0, 0], [23, 0, 0, 0, 0], [-8, 8, 0, 0, 0], [40, -6, 3, -6, -2], [-42, -4, 0, 2, 0], [-43, 2, 2, 0, -5], [0, 0, 0, 0, 0], [8, 10, -9, 3, -4], [46, -12, 6, -4, 0], [-7, -19, 4, -7, 1], [32, 0, 0, 0, 0], [-54, -12, 6, -9, -3], [-88, -6, -8, 2, -8], [0, 0, 0, 0, 0], [44, -8, 4, 4, 0], [40, -6, 10, 8, -10], [-84, -8, 8, -4, -8], [-53, -10, 4, -3, -6], [-32, 8, 0, 0, 8], [-79, -28, -10, 5, -10], [0, 0, 0, 0, 0], [-58, 14, 2, -14, 12], [36, 0, -12, 0, 0], [-92, 5, -24, 5, -12], [46, 0, 0, 0, 0], [103, -33, 10, 3, 13], [-16, 16, 0, 0, 0], [0, 0, 0, 0, 0], [80, -12, 6, -12, -4], [-55, -56, 3, -4, -10], [-84, -8, 0, 4, 0], [-30, 16, 8, 0, -36], [-86, 4, 4, 0, -10], [36, -24, 42, -3, 21], [0, 0, 0, 0, 0], [26, -24, -32, 22, 16], [16, 20, -18, 6, -8], [-48, -13, -32, -1, -22], [92, -24, 12, -8, 0], [-306, -25, -6, 10, 25], [-14, -38, 8, -14, 2], [0, 0, 0, 0, 0], [64, 0, 0, 0, 0], [60, -38, -10, 4, -40], [-108, -24, 12, -18, -6], [69, 28, -23, 14, -2], [-176, -12, -16, 4, -16], [-23, 23, 0, 0, 0], [0, 0, 0, 0, 0], [-189, -48, 22, -13, 36], [88, -16, 8, 8, 0], [-137, 2, 26, 11, 8], [80, -12, 20, 16, -20], [-181, 15, -52, 15, 39], [-168, -16, 16, -8, -16], [0, 0, 0, 0, 0], [-106, -20, 8, -6, -12], [39, -92, 47, -6, 34], [-64, 16, 0, 0, 16], [-60, 28, -39, -4, 2], [-158, -56, -20, 10, -20], [194, -2, -6, -10, -60], [0, 0, 0, 0, 0], [-291, -112, 43, 18, -52], [-116, 28, 4, -28, 24], [299, -34, 38, -8, -27], [72, 0, -24, 0, 0], [158, -95, 2, 11, -22], [-184, 10, -48, 10, -24], [0, 0, 0, 0, 0], [92, 0, 0, 0, 0], [-654, -24, -67, -3, 46], [206, -66, 20, 6, 26], [-552, 64, -60, 28, -32], [-32, 32, 0, 0, 0], [74, 103, -8, 6, 47], [0, 0, 0, 0, 0], [-489, -78, -3, 24, 60], [160, -24, 12, -24, -8]]}