# Stored data for newform 1472.4.a.y, downloaded from the LMFDB on 03 January 2025.
{"Nk2": 23552, "analytic_conductor": 86.85081152845018, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [23, 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": [1472, 1, [1151, 645, 833], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 334189, "field_disc_factorization": [[334189, 1]], "field_poly": [4, -5, -16, -2, 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, [-152, -131, -13, 7, 1]]], "hecke_orbit": 25, "hecke_orbit_code": 108086391124002240, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 8, "hecke_ring_index_factorization": [[2, 3]], "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": "1472.4.a.y", "level": 1472, "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, 23], "level_radical": 46, "minimal_twist": "23.4.a.b", "nf_label": "4.4.334189.1", "prim_orbit_index": 1, "qexp_display": "q+(-2-\\beta _{2})q^{3}+(-3-\\beta _{1}+\\beta _{3})q^{5}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1472.4.a", "trace_display": [0, -7, -14, 16], "trace_hash": 1604240921119722053, "trace_moments": [{"__RealLiteral__": 0, "data": "0.066", "prec": 17}, {"__RealLiteral__": 0, "data": "3.720", "prec": 17}, {"__RealLiteral__": 0, "data": "0.305", "prec": 17}, {"__RealLiteral__": 0, "data": "35.170", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "488.046", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "traces": [0, 4, 0, -7, 0, -14, 0, 16, 0, -33, 0, -8, 0, -111, 0, 10, 0, 98, 0, -96, 0, -180, 0, -92, 0, 184, 0, 155, 0, -21, 0, -193, 0, -418, 0, 752, 0, -170, 0, -291, 0, -125, 0, -2, 0, -168, 0, -677, 0, 1220, 0, 340, 0, 230, 0, -972, 0, 1322, 0, 1140, 0, -754, 0, -1092, 0, 1318, 0, -488, 0, 161, 0, -401, 0, 1509, 0, -1401, 0, -736, 0, -838, 0, -932, 0, -142, 0, -112, 0, 2223, 0, 2342, 0, -292, 0, 509, 0, -956, 0, 1062, 0, 1498, 0, 2612, 0, 2480, 0, -1976, 0, -2908, 0, 2256, 0, -1826, 0, 1646, 0, 322, 0, 2580, 0, -2848, 0, -284, 0, -201, 0, 5004, 0, 1277, 0, 1288, 0, -1423, 0, 1232, 0, 1830, 0, -1518, 0, -2641, 0, 2577, 0, 2814, 0, 3098, 0, -231, 0, 4618, 0, -289, 0, -106, 0, 4894, 0, -468, 0, 1126, 0, -368, 0, 79, 0, 7868, 0, -1144, 0, 2475, 0, -4178, 0, 3500, 0, 6600, 0, 776, 0, -357, 0, -1022, 0, -350, 0, 10100, 0, -3516, 0, 9676, 0, 7890, 0, 8989, 0, 1426, 0, 4315, 0, 2758, 0, 4010, 0, -5108, 0, -4214, 0, 759, 0, -7856, 0, 2264, 0, 9621, 0, 3976, 0, 4428, 0, -6171, 0, -2176, 0, -152, 0, -891, 0, 2246, 0, 6852, 0, 12272, 0, 3211, 0, 14822, 0, 2738, 0, -2913, 0, 3936, 0, -952, 0, 9610, 0, -17030, 0, -1584, 0, -9486, 0, 184, 0, -4560, 0, -6221, 0, 26016, 0, -2028, 0, 1114, 0, 13332, 0, -5964, 0, 1943, 0, -112, 0, 10220, 0, 1112, 0, -11457, 0, -982, 0, -2098, 0, -2812, 0, -8012, 0, -4484, 0, -8032, 0, -2200, 0, 2116, 0, -9728, 0, 5922, 0, 2553, 0, 13432, 0, -11250, 0, 4764, 0, 14232, 0, 2584, 0, 5991, 0, 15854, 0, -1680, 0, -2024, 0, -19806, 0, 11726, 0, -4844, 0, 9983, 0, -768, 0, 10764, 0, 1275, 0, -6856, 0, -7076, 0, 22782, 0, 2220, 0, -8342, 0, 15944, 0, -230, 0, 8236, 0, 13735, 0, 5583, 0, 14069, 0, 8646, 0, -12304, 0, 18270, 0, 24196, 0, -7439, 0, -24842, 0, -26804, 0, 3396, 0, -5288, 0, -3382, 0, -4948, 0, -5011, 0, -1950, 0, 19143, 0, 24956, 0, -11800, 0, -11474, 0, 4880, 0, -2254, 0, -5185, 0, -2532, 0, -18391, 0, -12792, 0, -27612, 0, 8867, 0, 9514, 0, -4244, 0, -5583, 0, 8388, 0, -5152, 0, -15072, 0, -4887, 0, 11330, 0, 1320, 0, -3422, 0, 158, 0, 14488, 0, 3654, 0, -30556, 0, 9876, 0, -30322, 0, 2208, 0, 10777, 0, -22185, 0, 577, 0, 5312, 0, -9214, 0, -21288, 0, 11138, 0, -25891, 0, 20832, 0, 206, 0, -13404, 0, 4535, 0, 2424, 0, -17990, 0, -20040, 0, 3616, 0, 26872, 0, -20044, 0, -35848, 0, 2368, 0, -5016, 0, 15266, 0, 4140, 0, 41416, 0, 20957, 0, -2299, 0, -41789, 0, 27352, 0, -6304, 0, -22348, 0, 44073, 0, 26472, 0, 40690, 0, 8772, 0, 16028, 0, -12921, 0, -9940, 0, -22306, 0, 18152, 0, -30878, 0, 23474, 0, -51398, 0, -19134, 0, -7060, 0, -1788, 0, 2116, 0, -13156, 0, -779, 0, -14244, 0, 10713, 0, -41696, 0, 6619, 0, 16982, 0, -1024, 0, -3989, 0, 268, 0, 16094, 0, 18808, 0, -19772, 0, -24892, 0, -23244, 0, -16712, 0, -12078, 0, -21808, 0, 35704, 0, -12492, 0, -27370, 0, -33446, 0, -4232, 0, -1943, 0, -21927, 0, -35528, 0, -29468, 0, -32204, 0, -3859, 0, 2758, 0, -3969, 0, -32272, 0, 45880, 0, -20130, 0, 6296, 0, 2037, 0, -12082, 0, -21734, 0, 10124, 0, -46148, 0, 22527, 0, 25820, 0, 20718, 0, -3696, 0, 15662, 0, -3565, 0, -2488, 0, -36192, 0, 43548, 0, -37536, 0, 37956, 0, -25740, 0, -44774, 0, -36119, 0, -7206, 0, 1322, 0, 42568, 0, -30560, 0, -28437, 0, -13560, 0, -13332, 0, 25617, 0, -32118, 0, 2272, 0, -9518, 0, -40482, 0, -32380, 0, -110496, 0, 483, 0, -30496, 0, 6196, 0, 30167, 0, 42613, 0, -65762, 0, 22160, 0, -38032, 0, 80439, 0, -36288, 0, -47868, 0, 34274, 0, 27424, 0, -4008, 0, 70870, 0, -10728, 0, -47717, 0, 50444, 0, -500, 0, -61614, 0, 38968, 0, -12364, 0, -13496, 0, 4439, 0, -38644, 0, 9933, 0, -61144, 0, 38864, 0, 14934, 0, -14123, 0, 11554, 0, 27900, 0, -9884, 0, -58768, 0, -67774, 0, -14416, 0, 77531, 0, 31186, 0, 40640, 0, 38556, 0, 24786, 0, -67856, 0, 20272, 0, 15264, 0, 48742, 0, 4262, 0, 9614, 0, -19895, 0, -83264, 0, -11688, 0, -65056, 0, 25000, 0, -47665, 0, 48252, 0, 12369, 0, -6776, 0, 6766, 0, -73294, 0, -53067, 0, 3776, 0, -11006, 0, -31714, 0, 23792, 0, 17198, 0, -59764, 0, 65742, 0, -604, 0, -1318, 0, 56630, 0, -17296, 0, 25067, 0, -5496, 0, -36011, 0, 3640, 0, 80246, 0, 69628, 0, 28568, 0, -20292, 0, 41583, 0, 1754, 0, 84370, 0, -72744, 0, 36731, 0, 46042, 0, 4848, 0, 2807, 0, 10424, 0, 11939, 0, -6620, 0, -70404, 0, -74696, 0, -19582, 0, 3910, 0, -49712, 0, 90992, 0, 60643, 0, 38977, 0, 32892, 0, -116435, 0, -49492, 0, 72479, 0, -8596, 0, -59734, 0, -4634, 0, 29296, 0, -1604, 0, -15928, 0, -44786, 0, -9392, 0, -2496, 0, 53051, 0, -79020, 0, -32432, 0, 26782, 0, -22490, 0, 6693, 0, 29425, 0, 66576, 0, -46544, 0, 55956, 0, 3640, 0, -14554, 0, 54122, 0, 47356, 0, 1892, 0, -21308, 0, -37308, 0, -40464, 0, -28269, 0, 70242, 0, -51584, 0, 2387, 0, -512, 0, -9179, 0, 6808, 0, 77528, 0, -6952, 0, 86388, 0, 2875, 0, 49624, 0, -130943, 0, -41617, 0, -35378, 0, -80240, 0, -23372, 0, 33594, 0, -57096, 0, -80545, 0, 33422, 0, -95610, 0, -116319, 0, 40568, 0, -120512, 0, 161676, 0, -5245, 0, -56004, 0, -3820, 0, 35664, 0, 27742, 0, 2378, 0, -49236, 0, 46, 0, 49128, 0, -40291, 0, -4628, 0, -42908, 0, 99218, 0, -79160, 0, 41224, 0, -5356, 0, -95364, 0, -25924, 0, 21100, 0, 26329, 0, 79488, 0, -45702, 0, -81508, 0, 117887, 0, 68134, 0, -26771, 0, -45882, 0, -89360, 0, 130584, 0, -34702, 0, 3864, 0, -53784, 0, 63417, 0, 70396, 0, 146936, 0, 183208, 0, -73405, 0, -11894, 0, -11925, 0, -36639, 0, 11736, 0, 163908, 0, 35393, 0, 89921, 0, 79326, 0, -107422, 0, -65540, 0, 83924, 0, 26632, 0, -57794, 0, -8870, 0, -19858, 0, 30468, 0, 15571, 0, -168047, 0, 32152, 0, -2483, 0, 67615, 0, -38226, 0, 117599, 0, 109602, 0, 86784, 0, -97088, 0, 2544, 0, -76530, 0, 18264, 0, -7715, 0, -80124, 0, 14816, 0, -85560, 0, -171096, 0, -7168, 0, 81226, 0, 46984, 0, 27576, 0, -57456, 0, -28060, 0, 66277, 0, -59341, 0, -105776, 0, -72400, 0, 19176, 0, -36820, 0, 255636, 0, -32018, 0, 52360, 0, 66682, 0, -73204, 0, -152696, 0, -21017, 0, -49928, 0, 20320, 0, 37452, 0, 8200, 0, 54424, 0, 151034, 0, 28912, 0, 68752, 0, -10788, 0, -7820, 0, 17493, 0, 4024, 0, 32810, 0, -8140, 0, 53892, 0, -3980, 0, 98032, 0, -43201, 0, -36587, 0, 158294, 0, 79494, 0, 11928, 0, -8352, 0, -82632, 0, 149866, 0, 60956, 0, 89068, 0, 15785, 0, -146296, 0, 94716, 0, -101744, 0, -27398, 0, -5290, 0, 155492, 0, 9085, 0, 102456, 0, 51477, 0, 45484, 0, 3288, 0, 15478, 0, 140204, 0, 84059, 0, -73664, 0, -3880, 0, -28436, 0, 81520, 0, 30828, 0, 93520, 0, -43970, 0, -22516, 0, 54832, 0, 75968, 0, 107162, 0, 94876, 0, -58300, 0, 22356, 0, 28304, 0, -17101, 0, -26855, 0, 190480, 0, -50716, 0, -31189, 0, 42894, 0, 44520, 0, -31831, 0, -56574, 0, 1728, 0, 55539, 0, -1753, 0, 4512, 0, 32744, 0, 12471, 0, 67266, 0, 5309, 0, 47864, 0, 2444, 0, 8520, 0, 65768, 0, -30406, 0, 13166, 0, -63740, 0, -65573, 0, -109912, 0, -109618, 0, 54347, 0, 88234, 0, -110425, 0, 63595, 0, 129528, 0, 36136, 0, -16568, 0, 157688, 0, -103784, 0, -102104, 0, -76160, 0, -145846, 0, 146270, 0, 109446, 0, -37372, 0, -34870, 0, 44688, 0, -26220, 0, -12558, 0, -12751, 0, 119397, 0, -139512, 0, 126450, 0, 96312, 0, -47584, 0, -190579, 0, -49336, 0, -76534, 0, 215532, 0, 74573, 0, 9643, 0, 8962, 0, -66174, 0, -81416, 0, 19990, 0, 136936, 0, -18692, 0, -91794, 0, -53966, 0, 65490, 0, 17342, 0, 46176, 0, -6352, 0, 155969, 0, 12404, 0, -10108, 0, 112988, 0, 79136, 0, 123584, 0, 127811, 0, 5820, 0, 135414, 0, 11253, 0, 93173, 0, -29902, 0, -7236, 0, -111280, 0, 64848, 0, -50219, 0, 118918, 0, 123638, 0, -9594, 0, 101222, 0, 25116, 0, 106332, 0, 207432, 0, -150344, 0, 122983, 0, -140174, 0, -112761, 0, 236992, 0, 48576, 0, -137542, 0, -183952, 0, 85134, 0, 209465, 0, -27892, 0, 187360, 0, 102100, 0, 94988, 0, 25130, 0, -174396, 0, -146852, 0, 3726, 0, -155228, 0, -77330, 0, -30314, 0, -33773, 0, -93079, 0, 199204, 0, -112576, 0, -63712, 0, 29660, 0, -60366, 0, -36607, 0, 114156, 0, 4100, 0, -41234, 0, 44079, 0, -131405, 0, -27066, 0, -7262, 0, -113053, 0, -58230, 0, 11365, 0, 78012, 0, 67536, 0, 200470, 0, 205392, 0, 11224, 0, 42015, 0, -162128, 0, 237160, 0, 40277, 0, 222350, 0, -57556, 0, -123874, 0, -23222, 0, -263633, 0, 49064, 0, 119212, 0, -274888, 0, -76013, 0, -164352, 0, -189404, 0, 142017, 0, -111900, 0, -96876, 0, -1184, 0, -26628, 0, -120274, 0, -63644, 0, -3703, 0, 182264, 0, 115704, 0, -33048, 0, 178516, 0, 172292, 0, 19771, 0, -38948, 0, 94784, 0, 26508, 0, -66374, 0, 191146, 0, -21174, 0, -23636, 0, -2400, 0, 59158, 0, -160453, 0, 86058, 0, -13649, 0, -181820, 0, 94596, 0, -41284, 0, 220932, 0, 9223, 0, -18304, 0, 137143, 0, -115956, 0, 88989, 0, 84010, 0, 68792, 0, 44054, 0, 124228, 0, -264727, 0, -108634, 0, -238018, 0, 82621, 0, 20088, 0, 93090, 0, 95372, 0, -43816, 0, -193882, 0, 44808, 0, 202700, 0, -5196, 0, -146312, 0, 65592, 0, -34707, 0, -232733, 0, 42548, 0, 111568, 0, 92872, 0, -168164, 0, -262836, 0, -118636, 0, 864, 0, -221300, 0, 105284, 0, -297360, 0, 26281, 0, 54260, 0, 232682, 0, 79770, 0, 51280, 0, -106420, 0, 162512, 0, 33980, 0, -88848, 0, -46770, 0, -205260, 0, 32223, 0, -178600, 0, -207192, 0, -27055, 0, -108989, 0, 168096, 0, -28068, 0, 174482, 0, 110503, 0, 119768, 0, -9606, 0, -117940, 0, 17812, 0, 111064, 0, -27974, 0, 16702, 0, -192760, 0, 24628, 0, -120349, 0, -33044, 0, 236638, 0, -113534, 0, -82262, 0, 16928, 0, -172700, 0, -107551, 0, 201765, 0, -101690, 0, -74552, 0, 75859, 0, 15704, 0, -22560, 0, -175700, 0, -59104, 0, -175342, 0, -267276, 0, -27400, 0, 59972, 0, 20296, 0, 100405, 0, -274590, 0, 96239, 0, -68810, 0, 38534, 0, 119646, 0, 178930, 0, 19274, 0, -5516, 0, 6020, 0, 133977, 0, 12011, 0, 133912, 0, -80728, 0, 301614, 0, 41517, 0, -26280, 0, -219040, 0, -181764, 0, -68216, 0, -282436, 0, 38636, 0, -202578, 0, -157160, 0, -145030, 0, 273184, 0, 503920, 0, -56656, 0, -100166, 0, -183458, 0, 21436, 0, -241460, 0, -142880, 0, -113440, 0, 4096, 0, 22204, 0, 132045, 0, 97662, 0, 66792, 0, -151628, 0, -201820, 0, 56426, 0, -182848, 0, -131624, 0, 47326, 0, 31140, 0, 103016, 0, 28576, 0, -65660, 0, -130058, 0, -140704, 0, -48194, 0, -171386, 0, 3266, 0, -85763, 0, -200964, 0, -21064, 0, -230993, 0, -247976, 0, -21828, 0, -95404, 0, -290704, 0, -83379, 0, -35242, 0, 103172, 0, -112829, 0, 92680, 0, -147402, 0, -225652, 0, 202881, 0, -9386, 0, -218048, 0, -128112, 0, -85274, 0, -6328, 0, 22656, 0, 2576, 0, 72656, 0, -285651, 0, -30084, 0, 182379, 0, 202062, 0, 235168, 0, -41310, 0, 81751, 0, -151343, 0, -121850, 0, 71664, 0, -63225, 0, 232544, 0, 290466, 0, -274618, 0, 83975, 0, -33844, 0, -200140, 0, -6170, 0, 476176, 0, -138822, 0, 152000, 0, -51129, 0, -246381, 0, 17572, 0, 3216, 0, -156085, 0, 114918, 0, 150124, 0, -35178, 0, 20431, 0, -1261, 0, 126440, 0, -291896, 0, -67376, 0, 294740, 0, -111924, 0, 260854, 0, 172344, 0, -113328, 0, -219072, 0, 8406, 0, -107776, 0, -53258, 0, -343930, 0, -53866, 0, -110719, 0, -87904, 0, 70180, 0, 94568, 0, 40234, 0, 399921, 0, 31632, 0, 428487, 0, 60144, 0, -183250, 0, -208982, 0, -446176, 0, 124876, 0, -47570, 0, -14450, 0, -338832, 0, 119638, 0, 60963, 0, -174350, 0, 147150, 0, 156526, 0, -13596, 0, 6716, 0, 12328, 0, 15168, 0, 160355, 0, 93628, 0, -152532, 0, -125320, 0, 169070, 0, -171812, 0, -215993, 0, 147658, 0, -26676, 0, -246131, 0, -135549, 0, -82016, 0, 141566, 0, 132240, 0, -125216, 0, -453829, 0, -199994, 0, -6746, 0, -218336, 0, 132750, 0, -11707, 0, -104191, 0, -27880, 0, 47372, 0, 301292, 0, 114816, 0, 28322, 0, 213512, 0, 611904, 0, 1320, 0, 164140, 0, -71450, 0, -353912, 0, -323100, 0, -126686, 0, -124446, 0, -356824, 0, -139834, 0, -23807, 0, -165044, 0, 244416, 0, -102590, 0, -186912, 0, 21988, 0, 78029, 0, 68244, 0, -146728, 0, 19696, 0, 11802, 0, -327891, 0, 52916, 0, 102899, 0, -212141, 0, -84888, 0, 59458, 0, -10265, 0, 133796, 0, -85680, 0, -244742, 0, -70735, 0, -265928, 0, -184657, 0, 255928, 0, 247730, 0, -145628, 0, -174808, 0, -24426, 0, 321752, 0, -202348, 0, -127667, 0, 93265, 0, -57448, 0, 124267, 0, -18468, 0, 138424, 0, -279694, 0, 447196, 0, -145712, 0, 9348, 0, 211572, 0, 192690, 0, -254176, 0, -219669, 0, 49122, 0, 162351, 0, -152586, 0, 229418, 0, 272086, 0, 23500, 0, -34454, 0, -59832, 0, 28247, 0, 220341, 0, 96360, 0, 144596, 0, -122432, 0, -85422, 0, 282413, 0, 198128, 0, -103714, 0, -392000, 0, -101656, 0, 129003, 0, 174618, 0, 64702, 0, -476496, 0, -506962, 0, 144292, 0, 388120, 0, -110612, 0, 7484, 0, 84048, 0, -60076, 0, 20763, 0, -145049, 0, -37020, 0, -261136, 0, 7862, 0, -117868, 0, 6038, 0, 159660, 0, 40121, 0, 153230, 0, -519976, 0, 98092, 0, -19653, 0, -84586, 0, -18158, 0, -237088, 0, -118954, 0, 49064, 0, -199012, 0, -262340, 0, 201008, 0, 108604, 0, -57040, 0, 224413, 0, -118512, 0, -1832, 0, 325493, 0, 163130, 0, -121252, 0, 464530, 0, -246536, 0, -14448, 0, -73872, 0, -20366, 0, 264128, 0, 97032, 0, -44324, 0, -139692, 0, -123612, 0, 103036, 0, 36692, 0, -86364, 0, -396954, 0, -157544, 0, 470898, 0, 45448, 0, -416295, 0, -13680, 0, -8052, 0, -48932, 0, 353018, 0, -61766, 0, -1048, 0, 197704, 0, 193003, 0, 147122, 0, 201878, 0, -13992, 0, 132597, 0, 525332, 0, -331710, 0, -137067, 0, 19566, 0, -340784, 0, 458680, 0, 15414, 0, -359572, 0, 127652, 0, 66884, 0, 144958, 0, -175608, 0, -90997, 0, 144573, 0, 401916, 0, -11111, 0, 120846, 0, -139619, 0, -1084, 0, -95448, 0, -198994, 0, 109736, 0, 41310, 0, 18426, 0, 267794, 0, 153980, 0, 108626, 0, 296612, 0, 130348, 0, 29210, 0, -758390, 0, -274816, 0, -51888, 0, -272901, 0, 105719, 0, 3960, 0, -297284, 0, -386128, 0, 149064, 0, -218276, 0, 162180, 0, 337252, 0, 162512, 0, -101246, 0, -84305, 0, 15840, 0, -6264, 0, 51944, 0, -153196, 0, 288004, 0, 306143, 0, 133298, 0, -31438, 0, -114532, 0, -203224, 0, 41998, 0, -41040, 0, -128223, 0, 148234, 0, -431331, 0, 44634, 0, -118996, 0, -299604, 0, -246256, 0, -28941, 0, -112568, 0, 148328, 0, -315445, 0, 100451, 0, 103712, 0, 40216, 0, 272932, 0, -101286, 0, 157351, 0, -101918, 0, 137548, 0, -109668, 0, 384326, 0, -37858, 0, 51605, 0, 263876, 0, 449168, 0, 234652, 0, -136190, 0, -233664, 0, 155618, 0, 381872, 0, 282863, 0, 104480, 0, 153386, 0, 83712, 0, -315776, 0, -243214, 0, -127406, 0, -236710, 0, -440096, 0, 73168, 0, 102124, 0, 718004, 0, 148998, 0, 171804, 0, -7406, 0, -23124, 0, 260508, 0, -307800, 0, 188680, 0, 99632, 0, 260491, 0, 233406, 0, -94239, 0, -254823, 0, -62950, 0, -238396, 0, 289592, 0, -181775, 0, 231296, 0, -367964, 0, 120524, 0, -435382, 0, 31232, 0, 393292, 0, -15614, 0, -230012, 0, -78058, 0, -59340, 0, 34316, 0, -123692, 0, -261893, 0, 404673, 0, -231950, 0, 82440, 0, 205170, 0, -64200, 0, -123704, 0, 470028, 0, 10344, 0, -339884, 0, -38116, 0, 265180, 0, 438550, 0, -652944, 0, 186928, 0, 300634, 0, 96450, 0, 299826, 0, 269746, 0, 61502, 0, 65504, 0, -285608, 0, -164264, 0, -54908, 0, 59992, 0, 70070, 0, 308865, 0, 348628, 0, 138661, 0, -415148, 0, 198696, 0, -40724, 0, 52428, 0, -70216, 0, -608864, 0, 288492, 0, -176799, 0, -275780, 0, -231320, 0, -4118, 0, -265014, 0, -682372, 0, 41024, 0, 6532, 0, 583896, 0, -236337, 0, -290579, 0, 339739, 0, 97482, 0, 297968, 0, 207710, 0, 38362, 0, -67851, 0, 113626, 0, 211576, 0, -354040, 0, 124616, 0, 15378, 0, 361100, 0, -490240, 0, -126210, 0, -378236, 0, 163756, 0, 121568, 0, -145630, 0, 557034, 0, 4623, 0, 55684, 0, 394491, 0, -463216, 0, 328369, 0, -74272, 0, 455643, 0, 250488, 0, 164020, 0, -60943, 0, -512872, 0, -436088, 0, 281770, 0, -298264, 0, 91688, 0, 231190, 0, -222837, 0, -743684, 0, 159924, 0, 137078, 0, -311898, 0, -64320, 0, -131134, 0, -115092, 0, 151696, 0, 217440, 0, 225756, 0, 49690, 0, 102214, 0, -119604, 0, -378118, 0, 325924, 0, 339900, 0, 322706, 0, -200058, 0, -312280, 0, 337731, 0, 252272, 0, -69800, 0, 93772, 0, -413432, 0, -124087, 0, 270686, 0, -103592, 0, 319828, 0, -50788, 0, -29371, 0, 192372, 0, -102124, 0, 325488, 0, -129302, 0, 245194, 0, 439800, 0, -72854, 0, -320120, 0, -204000, 0, 413012, 0, -186048, 0, -362084, 0, -134312, 0, 19238, 0, -191140, 0, 325553, 0, -149394, 0, 788773, 0, 23634, 0, 135392, 0, -429272, 0, 16308, 0, -29624, 0, 146748, 0, 174005, 0, 157152, 0, 340512, 0, 346684, 0, 102950, 0, -96064, 0, 280696, 0, 101212, 0, 350672, 0, -207202, 0, -302326, 0, 129909, 0, 448880, 0, 385054, 0, -534029, 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, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [-2, 0, -1, 0], [0, 0, 0, 0], [-3, -1, 0, 1], [0, 0, 0, 0], [5, -2, 3, -1], [0, 0, 0, 0], [-8, 1, 1, 1], [0, 0, 0, 0], [-1, 2, 7, -1], [0, 0, 0, 0], [-25, 0, 6, 5], [0, 0, 0, 0], [3, 4, 9, -3], [0, 0, 0, 0], [23, 1, -10, 5], [0, 0, 0, 0], [-30, -2, -14, -12], [0, 0, 0, 0], [-43, 5, 16, -3], [0, 0, 0, 0], [-23, 0, 0, 0], [0, 0, 0, 0], [53, -5, 15, 8], [0, 0, 0, 0], [46, -5, 26, -2], [0, 0, 0, 0], [-11, -3, -39, 13], [0, 0, 0, 0], [-46, -7, -4, 6], [0, 0, 0, 0], [-103, -15, -6, -3], [0, 0, 0, 0], [200, -9, -3, 42], [0, 0, 0, 0], [-29, -21, 38, -5], [0, 0, 0, 0], [-70, -6, 21, -16], [0, 0, 0, 0], [-33, 7, 9, -9], [0, 0, 0, 0], [-4, -14, -14, -14], [0, 0, 0, 0], [-54, 2, -20, -26], [0, 0, 0, 0], [-166, -21, -26, 18], [0, 0, 0, 0], [307, -25, -33, 16], [0, 0, 0, 0], [71, 6, -51, 1], [0, 0, 0, 0], [64, -10, -44, 60], [0, 0, 0, 0], [-270, -3, -91, -20], [0, 0, 0, 0], [348, 22, 56, 36], [0, 0, 0, 0], [270, 6, -40, -14], [0, 0, 0, 0], [-182, -10, 34, -18], [0, 0, 0, 0], [-286, 18, -56, 22], [0, 0, 0, 0], [313, -17, -44, -39], [0, 0, 0, 0], [-143, -2, -31, -55], [0, 0, 0, 0], [46, 0, 23, 0], [0, 0, 0, 0], [-128, -8, -153, 34], [0, 0, 0, 0], [377, 32, 64, -33], [0, 0, 0, 0], [-364, 5, -14, -36], [0, 0, 0, 0], [-236, 19, -171, -18], [0, 0, 0, 0], [-222, -12, 4, -66], [0, 0, 0, 0], [-239, -33, -3, -54], [0, 0, 0, 0], [-37, 38, 21, 11], [0, 0, 0, 0], [-4, -31, 87, -22], [0, 0, 0, 0], [538, 51, -30, 10], [0, 0, 0, 0], [606, 0, 2, 80], [0, 0, 0, 0], [-87, 14, -217, 175], [0, 0, 0, 0], [137, 32, 86, -15], [0, 0, 0, 0], [-230, 126, 128, 34], [0, 0, 0, 0], [303, -47, -38, 141], [0, 0, 0, 0], [386, 12, 34, 24], [0, 0, 0, 0]]}