# Stored data for newform 1900.4.a.b, downloaded from the LMFDB on 30 December 2025.
{"Nk2": 30400, "analytic_conductor": 112.10362901090717, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [5, 1], [19, 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": [1900, 1, [951, 77, 401], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 33, "field_disc_factorization": [[3, 1], [11, 1]], "field_poly": [-8, -1, 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, [-2, -5, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4503599694481260, "hecke_ring_generator_nbound": 3, "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_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "1900.4.a.b", "level": 1900, "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, 5, 19], "level_radical": 190, "minimal_twist": "76.4.a.a", "nf_label": "2.2.33.1", "prim_orbit_index": 1, "qexp_display": "q+(3-\\beta )q^{3}+(17-4\\beta )q^{7}+(-10-5\\beta )q^{9}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1900.4.a", "trace_display": [0, 5, 0, 30], "trace_hash": 1829354488312119204, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.934", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.635", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "68.791", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.003", "prec": 17}, "traces": [0, 2, 0, 5, 0, 0, 0, 30, 0, -25, 0, -71, 0, 35, 0, 0, 0, 0, 0, -38, 0, 141, 0, 5, 0, 0, 0, -115, 0, 155, 0, -88, 0, -260, 0, 0, 0, -380, 0, 269, 0, -142, 0, -155, 0, 0, 0, 455, 0, 28, 0, -99, 0, 275, 0, 0, 0, -95, 0, -873, 0, 445, 0, -45, 0, 0, 0, -645, 0, -961, 0, -1712, 0, 990, 0, 0, 0, -1395, 0, -1274, 0, -58, 0, 90, 0, 0, 0, -685, 0, -888, 0, 1251, 0, -1540, 0, 0, 0, -710, 0, 475, 0, 2056, 0, -1980, 0, 0, 0, 1055, 0, -1329, 0, -818, 0, 2300, 0, 0, 0, 470, 0, -396, 0, 271, 0, 140, 0, 0, 0, -2220, 0, -2318, 0, 1005, 0, -570, 0, 0, 0, 2020, 0, 1467, 0, 758, 0, -2150, 0, 0, 0, 2050, 0, -4971, 0, 964, 0, -495, 0, 0, 0, -3200, 0, 2717, 0, -3819, 0, 5000, 0, 0, 0, -1770, 0, -1785, 0, 475, 0, -2700, 0, 0, 0, -1605, 0, -1914, 0, 1052, 0, 4000, 0, 0, 0, 495, 0, -3507, 0, 1706, 0, 8310, 0, 0, 0, -10210, 0, -1838, 0, -2619, 0, -1965, 0, 0, 0, -4930, 0, 1349, 0, 2799, 0, -3950, 0, 0, 0, -6600, 0, 1419, 0, -1089, 0, 7520, 0, 0, 0, -3905, 0, 6943, 0, -7068, 0, -2325, 0, 0, 0, -3350, 0, -10026, 0, 6086, 0, -1330, 0, 0, 0, -665, 0, 2106, 0, -10001, 0, 4690, 0, 0, 0, -8980, 0, -5172, 0, -7300, 0, 2355, 0, 0, 0, -3540, 0, 1098, 0, -4453, 0, 7005, 0, 0, 0, -2645, 0, -5500, 0, 566, 0, -825, 0, 0, 0, -150, 0, -9232, 0, 5782, 0, -4155, 0, 0, 0, 6310, 0, -10621, 0, -10047, 0, 10090, 0, 0, 0, 3720, 0, -3630, 0, 8564, 0, -2155, 0, 0, 0, -5025, 0, -140, 0, -4309, 0, 0, 0, 0, 0, -7035, 0, 5307, 0, -4697, 0, 5410, 0, 0, 0, -2180, 0, 3242, 0, 9724, 0, -1950, 0, 0, 0, 1045, 0, -5089, 0, -6913, 0, -9195, 0, 0, 0, -2475, 0, -2208, 0, 722, 0, 6535, 0, 0, 0, -13940, 0, 4250, 0, 12243, 0, 18065, 0, 0, 0, -9085, 0, 6555, 0, 1446, 0, -2150, 0, 0, 0, -7715, 0, 9417, 0, 5841, 0, 1770, 0, 0, 0, 6515, 0, -2679, 0, -580, 0, -16060, 0, 0, 0, 12830, 0, -9028, 0, 17161, 0, -10785, 0, 0, 0, -870, 0, -7536, 0, 5293, 0, -7585, 0, 0, 0, 18225, 0, -13262, 0, -18978, 0, 23540, 0, 0, 0, -95, 0, 5074, 0, 9550, 0, 6145, 0, 0, 0, -8550, 0, -17746, 0, 2566, 0, 16270, 0, 0, 0, 6620, 0, 2673, 0, -11483, 0, 7135, 0, 0, 0, 1165, 0, -13701, 0, -6746, 0, 15155, 0, 0, 0, 6710, 0, -24928, 0, -5198, 0, -23985, 0, 0, 0, -32900, 0, 19628, 0, 5896, 0, 6435, 0, 0, 0, -24360, 0, -17011, 0, -17064, 0, -3855, 0, 0, 0, 1890, 0, 6438, 0, 10626, 0, 2185, 0, 0, 0, -14255, 0, -678, 0, 2356, 0, 1475, 0, 0, 0, 7920, 0, 33115, 0, 13800, 0, 2960, 0, 0, 0, -16500, 0, -10894, 0, -9815, 0, -19150, 0, 0, 0, -8960, 0, 8875, 0, -2945, 0, -19770, 0, 0, 0, 7675, 0, -23948, 0, 4752, 0, -23250, 0, 0, 0, -18030, 0, -9400, 0, -26480, 0, -9265, 0, 0, 0, 9170, 0, 20478, 0, 8874, 0, -19910, 0, 0, 0, 30315, 0, 1672, 0, -27340, 0, -18680, 0, 0, 0, 10255, 0, 132, 0, 44750, 0, 3030, 0, 0, 0, -850, 0, -15885, 0, 3788, 0, -335, 0, 0, 0, -20235, 0, 12458, 0, 25997, 0, -18600, 0, 0, 0, 4940, 0, -792, 0, -32585, 0, 32655, 0, 0, 0, 22270, 0, 23050, 0, 26430, 0, -25145, 0, 0, 0, 43310, 0, 28104, 0, -39204, 0, 42975, 0, 0, 0, -17655, 0, -23783, 0, -7057, 0, -4455, 0, 0, 0, 63665, 0, 28238, 0, -30235, 0, -27370, 0, 0, 0, 19615, 0, 19578, 0, 16225, 0, -22520, 0, 0, 0, 16120, 0, 27137, 0, 29115, 0, -465, 0, 0, 0, -2970, 0, -6060, 0, -4358, 0, 7220, 0, 0, 0, 50640, 0, 4320, 0, 15100, 0, 77660, 0, 0, 0, -15825, 0, 19994, 0, -24420, 0, 16700, 0, 0, 0, 6700, 0, -934, 0, 11583, 0, -31050, 0, 0, 0, 27930, 0, 11359, 0, -5111, 0, -36580, 0, 0, 0, 8280, 0, -11961, 0, 17968, 0, -26900, 0, 0, 0, 29575, 0, 46078, 0, -5868, 0, -34785, 0, 0, 0, -8925, 0, 11540, 0, -18556, 0, -16905, 0, 0, 0, -23490, 0, 2698, 0, 59126, 0, 20045, 0, 0, 0, -22625, 0, -6042, 0, 24468, 0, 39550, 0, 0, 0, 3015, 0, 2277, 0, 4500, 0, -29865, 0, 0, 0, 14790, 0, -13776, 0, -16689, 0, 4625, 0, 0, 0, 2945, 0, 3750, 0, 54825, 0, 28460, 0, 0, 0, 26375, 0, -4401, 0, -12602, 0, -11880, 0, 0, 0, 40700, 0, 64114, 0, 32947, 0, -8980, 0, 0, 0, 27495, 0, -27060, 0, -8738, 0, 34860, 0, 0, 0, 2730, 0, -33895, 0, 2364, 0, 7560, 0, 0, 0, -23080, 0, 46052, 0, -22359, 0, 46660, 0, 0, 0, 46795, 0, -16773, 0, -16005, 0, 63655, 0, 0, 0, 20800, 0, -5316, 0, 23509, 0, -8645, 0, 0, 0, -43135, 0, 78980, 0, -12177, 0, -59190, 0, 0, 0, 15065, 0, -950, 0, -22374, 0, -12600, 0, 0, 0, 12105, 0, 26965, 0, -35844, 0, -26330, 0, 0, 0, 31350, 0, -10289, 0, -532, 0, 26195, 0, 0, 0, 56870, 0, -11443, 0, -10225, 0, -29560, 0, 0, 0, -1860, 0, 5709, 0, -23733, 0, 14810, 0, 0, 0, 31330, 0, 78744, 0, 49890, 0, -47920, 0, 0, 0, 14160, 0, 1881, 0, -27416, 0, 3855, 0, 0, 0, 61940, 0, 38124, 0, -1950, 0, -17550, 0, 0, 0, 22590, 0, 113512, 0, -39886, 0, -22055, 0, 0, 0, -46745, 0, 18286, 0, -63798, 0, -3465, 0, 0, 0, -5225, 0, -11080, 0, 30388, 0, -32265, 0, 0, 0, -41290, 0, -16959, 0, -3191, 0, 74800, 0, 0, 0, -24110, 0, 3111, 0, -336, 0, -4945, 0, 0, 0, -17325, 0, 18756, 0, 33352, 0, -59055, 0, 0, 0, 31580, 0, 4593, 0, 17860, 0, -48205, 0, 0, 0, 69900, 0, -37887, 0, 45495, 0, -68960, 0, 0, 0, -12580, 0, 54271, 0, -2475, 0, -38030, 0, 0, 0, -39675, 0, 22266, 0, 23528, 0, 1805, 0, 0, 0, 30250, 0, 25900, 0, -55261, 0, -33320, 0, 0, 0, 44530, 0, -42984, 0, -34652, 0, -40710, 0, 0, 0, -5200, 0, -14541, 0, -97738, 0, 70125, 0, 0, 0, 20075, 0, 29735, 0, 16587, 0, 52870, 0, 0, 0, -116750, 0, 59272, 0, -27415, 0, 63690, 0, 0, 0, 62835, 0, 6039, 0, 103512, 0, 62730, 0, 0, 0, 6160, 0, 22906, 0, -48465, 0, 10900, 0, 0, 0, -30060, 0, -8455, 0, 61036, 0, 70145, 0, 0, 0, 7620, 0, -77106, 0, 15056, 0, 14355, 0, 0, 0, -2720, 0, -16275, 0, -74091, 0, -1365, 0, 0, 0, 41020, 0, -43180, 0, -24550, 0, -48960, 0, 0, 0, 855, 0, 65742, 0, 53182, 0, -7720, 0, 0, 0, -1980, 0, -71236, 0, -16212, 0, 59250, 0, 0, 0, -15505, 0, -119053, 0, 43064, 0, -75270, 0, 0, 0, 5480, 0, -34806, 0, 27326, 0, 35305, 0, 0, 0, -84305, 0, -47109, 0, 6336, 0, -69110, 0, 0, 0, 113470, 0, -7094, 0, -41025, 0, -75570, 0, 0, 0, -7620, 0, -29450, 0, 70702, 0, 24535, 0, 0, 0, -71340, 0, -15916, 0, -33352, 0, 12255, 0, 0, 0, 40475, 0, -3812, 0, 103560, 0, -101925, 0, 0, 0, -12560, 0, -738, 0, -112961, 0, -8670, 0, 0, 0, -141055, 0, 53438, 0, 56170, 0, -6495, 0, 0, 0, 23205, 0, 21483, 0, 18259, 0, 90430, 0, 0, 0, -61400, 0, -146214, 0, 69096, 0, -55070, 0, 0, 0, 38265, 0, -48476, 0, 55593, 0, 161260, 0, 0, 0, -28530, 0, -20130, 0, 81525, 0, 990, 0, 0, 0, -74230, 0, 32528, 0, 123462, 0, -5300, 0, 0, 0, -36255, 0, 57250, 0, -131886, 0, 59930, 0, 0, 0, -12950, 0, -28050, 0, 22655, 0, 17775, 0, 0, 0, 25740, 0, -160410, 0, 130620, 0, -98090, 0, 0, 0, -18810, 0, -43526, 0, -57949, 0, 31830, 0, 0, 0, 43830, 0, -12740, 0, 46720, 0, -169250, 0, 0, 0, -70635, 0, -58268, 0, -11286, 0, 46270, 0, 0, 0, -64095, 0, 112814, 0, -126530, 0, -14800, 0, 0, 0, 10715, 0, 23781, 0, -70609, 0, 71060, 0, 0, 0, -59020, 0, -33570, 0, -31965, 0, -45170, 0, 0, 0, -17140, 0, -24450, 0, 17913, 0, 33975, 0, 0, 0, 10340, 0, -14531, 0, -67730, 0, 26505, 0, 0, 0, -26860, 0, 12662, 0, -19644, 0, 13420, 0, 0, 0, 144615, 0, 8415, 0, -97060, 0, -53215, 0, 0, 0, 47160, 0, -58137, 0, -112446, 0, 114365, 0, 0, 0, -38650, 0, -63734, 0, 24206, 0, -41070, 0, 0, 0, -132265, 0, 39087, 0, 23928, 0, 7920, 0, 0, 0, 30940, 0, -159632, 0, 54075, 0, 52330, 0, 0, 0, 70050, 0, -29391, 0, 41735, 0, 43395, 0, 0, 0, -110605, 0, 1102, 0, 57771, 0, 48415, 0, 0, 0, -23265, 0, -15065, 0, -40934, 0, 9210, 0, 0, 0, 64110, 0, -65331, 0, 150552, 0, 8860, 0, 0, 0, -125945, 0, 120095, 0, -198620, 0, 69175, 0, 0, 0, -1710, 0, -87524, 0, 24156, 0, -65040, 0, 0, 0, 77920, 0, 45375, 0, 14006, 0, 34605, 0, 0, 0, 99760, 0, 3176, 0, -124250, 0, 99195, 0, 0, 0, 90725, 0, 119830, 0, -34650, 0, -55915, 0, 0, 0, -98680, 0, -42658, 0, -52017, 0, 460, 0, 0, 0, -100630, 0, -122050, 0, -35865, 0, -23750, 0, 0, 0, -132780, 0, 157083, 0, 20500, 0, -174460, 0, 0, 0, -103550, 0, -45342, 0, 38106, 0, 13015, 0, 0, 0, -139280, 0, -93942, 0, -103522, 0, -36950, 0, 0, 0, -168270, 0, -74853, 0, 22174, 0, -113430, 0, 0, 0, -107720, 0, 64779, 0, -112910, 0, 11385, 0, 0, 0, 97230, 0, -936, 0, 16872, 0, 118545, 0, 0, 0, -100065, 0, 56837, 0, -16650, 0, 9420, 0, 0, 0, -113920, 0, 180267, 0, -105195, 0, -29900, 0, 0, 0, -29700, 0, -88975, 0, -45462, 0, -18025, 0, 0, 0, 107330, 0, -23769, 0, 25433, 0, 154755, 0, 0, 0, -105360, 0, -89486, 0, 105249, 0, 53370, 0, 0, 0, -53345, 0, -133166, 0, -7920, 0, 152910, 0, 0, 0, -157605, 0, 133720, 0, 27690, 0, -46910, 0, 0, 0, 29260, 0, -153200, 0, 207762, 0, 118550, 0, 0, 0, -133510, 0, -119762, 0, 168571, 0, 109395, 0, 0, 0, -42645, 0, -16963, 0, 97225, 0, -213140, 0, 0, 0, -89760, 0, -119124, 0, -85606, 0, 137120, 0, 0, 0, -24240, 0, 64263, 0, -1677, 0, 10520, 0, 0, 0, 6550, 0, 41679, 0, -29350, 0, -84840, 0, 0, 0, -30300, 0, -7788, 0, -73285, 0, 44120, 0, 0, 0, 126030, 0, -24152, 0, -12393, 0, 13490, 0, 0, 0, -45840, 0, 78867, 0, -74232, 0, 22275, 0, 0, 0, -26110, 0, 31605, 0, -66885, 0, 252965, 0, 0, 0, 16945, 0, -95604, 0, 120039, 0, -7800, 0, 0, 0, -54750, 0, -234928, 0, -9025, 0, 64650, 0, 0, 0, 16830, 0, -174434, 0, -250580, 0, -4490, 0, 0, 0, -3765, 0, 93300, 0, -106080, 0, 65490, 0, 0, 0, 194565, 0, -110754, 0, 92866, 0, 112470, 0, 0, 0, 89530, 0, -39064, 0, 15048, 0, 29610, 0, 0, 0, -43690, 0, -19220, 0, 55270, 0, -58660, 0, 0, 0, -44340, 0, -63633, 0, 121937, 0, 15435, 0, 0, 0, 85770, 0, 121870, 0, -43334, 0, -31020, 0, 0, 0, 37620, 0, 131742, 0, -36014, 0, 169330, 0, 0, 0, -33090, 0, 126522, 0, -28413, 0, -290365, 0, 0, 0, -36935, 0, 195527, 0, -112365, 0, 84245, 0, 0, 0, -10515, 0, 4950, 0, 71554, 0, 164905, 0, 0, 0, 127055, 0, 181514, 0, 81035, 0, -79105, 0, 0, 0, -46810, 0, 57412, 0, 244053, 0, -196450, 0, 0, 0, -218770, 0, -87928, 0, 9139, 0, -138480, 0, 0, 0, 25215, 0, -28919, 0, 86971, 0, -20045, 0, 0, 0, 138870, 0, -144225, 0, -42206, 0, 178750, 0, 0, 0, 75660, 0, 9436, 0, -87867, 0, -28750, 0, 0, 0, -35145, 0, -154130, 0, -92975, 0, -36575, 0, 0, 0, 128315, 0, 221424, 0, 25251, 0, 75180, 0, 0, 0, 108900, 0, 176886, 0, 31466, 0, 5190, 0, 0, 0, -81120, 0, -54192, 0, -396, 0, -225645, 0, 0, 0, 27825, 0, 72435, 0, 7087, 0, 26560, 0, 0, 0, -233830, 0, 15542, 0, 236606, 0, 181310, 0, 0, 0, 145365, 0, 165908, 0, 268698, 0, -293520, 0, 0, 0, 135870, 0, -163909, 0, -5635, 0, 77710, 0, 0, 0, -60240, 0, 233684, 0, -237081, 0, -166570, 0, 0, 0, -43700, 0, -124776, 0, 171525, 0, 74235, 0, 0, 0, 85955, 0, -41976, 0, 10350, 0, -106590, 0, 0, 0, 371530, 0, -68650, 0, -170004, 0, 41360, 0, 0, 0, 147600, 0, 101633, 0, 12493, 0, 170490, 0, 0, 0, 140495, 0, -9001, 0, -56547, 0, 36630, 0, 0, 0, -38255, 0, -44988, 0, 48928, 0, -11285, 0, 0, 0, -250370, 0, -95405, 0, 132162, 0, -311965, 0, 0, 0, 9670, 0, -120057, 0, -48601, 0, -8930, 0, 0, 0, 4455, 0, -46372, 0, -447638, 0, 124620, 0, 0, 0, -6645, 0, -122225, 0, -55962, 0, -146165, 0, 0, 0, -99285, 0, 19542, 0, 73089, 0, 162400, 0, 0, 0, -61450, 0, 115525, 0, 7524, 0, 40920, 0, 0, 0, -137665, 0, 149175, 0, 107548, 0, 70710, 0, 0, 0, 113140, 0, -258764, 0, -197702, 0, 25755, 0, 0, 0, -96725, 0, -186507, 0, -88010, 0, -134195, 0, 0, 0, 20580, 0, -5149, 0, -91431, 0, -39170, 0, 0, 0, -84835, 0, 1131, 0, 29398, 0, 131720, 0, 0, 0, -111705, 0, -182265, 0, -227652, 0, -286910, 0, 0, 0, -162360, 0, -72666, 0, 11850, 0, -301735, 0, 0, 0, -2660, 0, -98260, 0, 28740, 0, 206720, 0, 0, 0, 227295, 0, 274355, 0, 142654, 0, -221170, 0, 0, 0, 185895, 0, 110652, 0, -186335, 0, 27225, 0, 0, 0, -89085, 0, -82830, 0, -97222, 0, 99450, 0, 0, 0, -2710, 0, 189790, 0, 207475, 0, 49770, 0, 0, 0, 347820, 0, 2218, 0, -120783, 0, -413720, 0, 0, 0, -16830, 0, 173383, 0, -6910, 0, 86700, 0, 0, 0, -115290, 0, -78012, 0, 108900, 0, 42180, 0, 0, 0, 89800, 0, 79308, 0, 46500, 0, 250680, 0, 0, 0, -147135, 0, 138633, 0, 47322, 0, -55995, 0, 0, 0, 177415, 0, 134450, 0, -55376, 0, 100875, 0, 0, 0, 288240, 0, 69256, 0, 44042, 0, -314150, 0, 0, 0, -176625, 0, 31741, 0, 412481, 0, 221130, 0, 0, 0, -149335, 0, 63791, 0, -197523, 0, 109370, 0, 0, 0, -197880, 0, 114498, 0, 69881, 0, -118975, 0, 0, 0, -12075, 0, -19095, 0, 15884, 0, 3115, 0, 0, 0, 8690, 0, -31086, 0, 55030, 0, -93180, 0, 0, 0, 215715, 0, 142158, 0, 345752, 0, -169740, 0, 0, 0, 247900, 0, -240289, 0, -36034, 0, -83870, 0, 0, 0, 10830, 0, -59050, 0, -25962, 0, -23265, 0, 0, 0, 90, 0, 231705, 0, 165543, 0, 169940, 0, 0, 0, -114675, 0, 89687, 0, -89141, 0, 163450, 0, 0, 0, 6695, 0, 91638, 0, -198640, 0, 83775, 0, 0, 0, -83160, 0, -208308, 0, 84144, 0, -154440, 0, 0, 0, -241240, 0, 8347, 0, 16980, 0, 15570, 0, 0, 0, 131185, 0, 197826, 0, 121528, 0, -173305, 0, 0, 0, 247390, 0, 153722, 0, 115400, 0, -38380, 0, 0, 0, 173540, 0, 912, 0, 209265, 0, -132045, 0, 0, 0, 390300, 0, -163214, 0, -231108, 0, -372325, 0, 0, 0, 327920, 0, 309723, 0, 79747, 0, 25235, 0, 0, 0, 20010, 0, -155085, 0, -27873, 0, 78540, 0, 0, 0, 64630, 0, 247792, 0, -223478, 0, 284115, 0, 0, 0, 269415, 0, -86229, 0, 19594, 0, 70970, 0, 0, 0, 18390, 0, -7524, 0, -92911, 0, 43090, 0, 0, 0, -159350, 0, -14402, 0, 80874, 0, 9565, 0, 0, 0, 291850, 0, -18224, 0, 49850, 0, 88355, 0, 0, 0, 142340, 0, 205986, 0, -196548, 0, -44055, 0, 0, 0, 258805, 0, -44775, 0, -349386, 0, -55360, 0, 0, 0, 40850, 0, 186302, 0, 18011, 0, 77565, 0, 0, 0, -251870, 0, -104522, 0, 117566, 0, -193380, 0, 0, 0, 86625, 0, -101988, 0, -169542, 0, 331215, 0, 0, 0, 15600, 0, 460666, 0, 52290, 0, 58135, 0, 0, 0, 205435, 0, 144672, 0, 364523, 0, -272220, 0, 0, 0, 134790, 0, -215414, 0, -42768, 0, -211890, 0, 0, 0, 90070, 0, -65625, 0, 78210, 0, -344915, 0, 0, 0, 109495, 0, 254814, 0, 326572, 0, -38950, 0, 0, 0, -117275, 0, -83125, 0, -369818, 0, 121015, 0, 0, 0, -33780, 0, -10313, 0, 77099, 0, -546230, 0, 0, 0, -3340, 0, -229223, 0, -365244, 0, -215065, 0, 0, 0, 299320, 0, -3544, 0, 94449, 0, 276520, 0, 0, 0, -11865, 0, 75834, 0, 303504, 0, 442885, 0, 0, 0, 85635, 0, 236406, 0, 274903, 0, 6960, 0, 0, 0, -243095, 0, 33230, 0, -17574, 0, -23220, 0, 0, 0, 34825, 0, -18316, 0, 160150, 0, -38115, 0, 0, 0, 445185, 0, 267102, 0, 167748, 0, 240885, 0, 0, 0, 272360, 0, 126893, 0, 57078, 0, -23955, 0, 0, 0, 8715, 0, 235418, 0, 158160, 0, -351170, 0, 0, 0, 9405, 0, -150, 0, 131452, 0, -64580, 0, 0, 0, -251185, 0, -10014, 0, -418314, 0, 240740, 0, 0, 0, -171550, 0, -162410, 0, 92084, 0, -68160, 0, 0, 0, 178800, 0, 442937, 0, -36432, 0, 176655, 0, 0, 0, 124605, 0, 17010, 0, 217525, 0, -139670, 0, 0, 0, 250605, 0, -99204, 0, -19725, 0, -132535, 0, 0, 0, 354400, 0, 165566, 0, 432199, 0, -138160, 0, 0, 0, 107890, 0, 7150, 0, 79294, 0, 60800, 0, 0, 0, -239250, 0, 352730, 0, -274850, 0, -101970, 0, 0, 0, -23300, 0, -191276, 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], [1, 0], [0, 0], [3, -1], [0, 0], [0, 0], [0, 0], [17, -4], [0, 0], [-10, -5], [0, 0], [-38, 5], [0, 0], [23, -11], [0, 0], [0, 0], [0, 0], [-3, 6], [0, 0], [-19, 0], [0, 0], [83, -25], [0, 0], [-27, 59], [0, 0], [0, 0], [0, 0], [-71, 27], [0, 0], [45, 65], [0, 0], [-84, 80], [0, 0], [-154, 48], [0, 0], [0, 0], [0, 0], [-186, -8], [0, 0], [157, -45], [0, 0], [-56, -30], [0, 0], [-136, 117], [0, 0], [0, 0], [0, 0], [216, 23], [0, 0], [74, -120], [0, 0], [-57, 15], [0, 0], [199, -123], [0, 0], [0, 0], [0, 0], [-57, 19], [0, 0], [-419, -35], [0, 0], [310, -175], [0, 0], [-10, -25], [0, 0], [0, 0], [0, 0], [-353, 61], [0, 0], [-553, 145], [0, 0], [-846, -20], [0, 0], [463, 64], [0, 0], [0, 0], [0, 0], [-806, 217], [0, 0], [-642, 10], [0, 0], [-159, 260], [0, 0], [102, -114], [0, 0], [0, 0], [0, 0], [-385, 85], [0, 0], [-484, 80], [0, 0], [743, -235], [0, 0], [-892, 244], [0, 0], [0, 0], [0, 0], [-126, -458], [0, 0], [180, 115], [0, 0]]}