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mf_newforms • Show schema
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{'Nk2': 495, 'analytic_conductor': 1.498641453981633, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 55, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [55, 2, [12, 46], [1, 1]], 'cm_discs': [-55], 'conrey_index': 54, 'dim': 2, 'field_disc': 44, 'field_disc_factorization': [[2, 2], [11, 1]], 'field_poly': [-11, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [-11, 0, 1]], [3, [0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007405463502903, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 55, 4, -1, 2, -55], [1, 1, 5, 2, 1, 2, 0], [1, 1, 11, 2, -1, 2, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '55.3.d.c', 'level': 55, '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': True, 'level_primes': [5, 11], 'level_radical': 55, 'minimal_twist': '55.3.d.c', 'nf_label': '2.2.44.1', 'prim_orbit_index': 4, 'qexp_display': 'q+\\beta q^{2}+7q^{4}-5q^{5}-4\\beta q^{7}+3\\beta q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '2.2.1.d2', 'self_twist_discs': [-55], 'self_twist_type': 1, 'space_label': '55.3.d', 'trace_display': [0, 0, -10, 0], 'trace_hash': 1027769500859356827, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.909', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.570', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '296.830', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.757', 'prec': 17}, 'traces': [2, 0, 0, 14, -10, 0, 0, 0, 18, 0, 22, 0, 0, -88, 0, 10, 0, 0, 0, -70, 0, 0, 0, 0, 50, 88, 0, 0, 0, 0, -36, 0, 0, -88, 0, 126, 0, 0, 0, 0, 0, 0, 0, 154, -90, 0, 0, 0, 254, 0, 0, 0, 0, 0, -110, -264, 0, 0, -204, 0, 0, 0, 0, -194, 0, 0, 0, 0, 0, 440, -156, 0, 0, 0, 0, 0, 0, 0, 0, -50, 162, 0, 0, 0, 0, 88, 0, 0, -4, 0, -352, 0, 0, 0, 0, 0, 0, 0, 198, 350, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 352, 0, 242, 0, 0, -252, -250, -792, 0, 0, 0, -440, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 0, 0, 90, 0, 968, 0, 0, 0, 0, 0, 0, 0, -968, 180, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 14, 440, 0, 0, 0, 0, 0, 110, 0, 0, 76, -630, 684, 0, 0, 0, 0, 0, 0, 0, 0, 0, -676, 0, 0, 0, 0, 1778, 0, 0, 356, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -968, 0, 0, 0, 0, 0, -770, -352, 0, 0, 616, 450, 0, 0, 0, -844, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [0, 0], [7, 0], [-5, 0], [0, 0], [0, -4], [0, 3], [9, 0], [0, -5], [11, 0], [0, 0], [0, 4], [-44, 0], [0, 0], [5, 0], [0, -4], [0, 9], [0, 0], [-35, 0], [0, 0], [0, 11], [0, 0], [0, 0], [25, 0], [44, 0], [0, 0], [0, -28], [0, 0], [0, 0], [-18, 0], [0, -7], [0, 0], [-44, 0], [0, 20], [63, 0], [0, 0], [0, 0], [0, 0], [0, -15], [0, 0], [0, 0], [0, 4], [77, 0], [-45, 0], [0, 0], [0, 0], [0, 0], [127, 0], [0, 25], [0, 0], [0, 28], [0, 0], [0, 0], [-55, 0], [-132, 0], [0, 0], [0, 0], [-102, 0], [0, 0], [0, 0], [0, -18], [0, -36], [-97, 0], [0, -20], [0, 0], [0, 0], [0, -28], [0, 0], [220, 0], [-78, 0], [0, 27], [0, 44], [0, 0], [0, 0], [0, 0], [0, -44], [0, 0], [0, 0], [-25, 0], [81, 0], [0, 0], [0, 4], [0, 0], [0, 20], [44, 0], [0, 0], [0, 33], [-2, 0], [0, -45], [-176, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 127], [99, 0], [175, 0]], 'ap': [[0, 1], [0, 0], [-5, 0], [0, -4], [11, 0], [0, 4], [0, -4], [0, 0], [0, 0], [0, 0], [-18, 0], [0, 0], [0, 0], [0, 4], [0, 0], [0, 0], [-102, 0], [0, 0], [0, 0], [-78, 0], [0, 44], [0, 0], [0, 4], [-2, 0], [0, 0], [0, 0], [0, 0], [0, -44], [0, 0], [0, 0], [0, 76], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 76], [0, -76], [38, 0], [342, 0], [-338, 0], [0, -116], [0, 116], [178, 0], [0, 0], [0, 0], [0, -124], [-422, 0], [0, 124], [0, 0], [0, 0], [282, 0], [0, 0], [0, 44], [-342, 0], [0, 0], [0, -124], [0, 0], [0, 164], [0, 4], [0, 116], [402, 0], [0, 0], [0, 0], [-618, 0], [0, -164], [0, -124], [0, 0], [0, 0], [0, 0], [0, 0], [0, -76], [538, 0], [0, 0], [-102, 0], [0, 0], [782, 0], [0, 0], [-442, 0], [-138, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-722, 0], [0, -244], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-982, 0], [0, 284], [138, 0], [542, 0], [0, -76], [0, 0], [0, 116], [0, -284], [0, -236], [0, 0], [0, 0], [0, 0], [0, 0], [0, -356], [-802, 0], [0, 0], [0, 316], [0, -236], [0, 0], [918, 0], [1042, 0], [302, 0], [0, 0], [0, 0], [0, 0], [0, 0], [442, 0], [0, 284], [0, -44], [0, 0], [-598, 0], [0, 0], [1398, 0], [718, 0], [0, 0], [0, 404], [0, 0], [0, 284], [-478, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 436], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 356], [1158, 0], [1458, 0], [0, -316], [0, -404], [438, 0], [0, 0], [0, -524], [-1758, 0], [0, 0], [0, -244], [0, 0], [1742, 0], [0, 0], [-1662, 0], [0, -164], [0, 0], [0, 0], [0, 524], [0, -164], [1622, 0], [0, 0], [0, 0], [-1938, 0], [0, 436]], 'char_orbit_index': 4, 'field_poly': [-11, 0, 1], 'hecke_orbit_code': 9007405463502903, 'hecke_ring_character_values': [[12, [-1, 0]], [46, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '55.3.d.c', 'level': 55, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 495, 'analytic_conductor': 1.498641453981633, 'char_conductor': 55, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [55, 2, [12, 46], [1, 1]], 'conrey_index': 54, 'cusp_dim': 10, 'dim': 10, 'eis_dim': 4, 'eis_new_dim': 4, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 206208761911, 'hecke_orbit_dims': [2, 2, 2, 4], 'label': '55.3.d', 'level': 55, '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': True, 'level_primes': [5, 11], 'level_radical': 55, 'mf_dim': 14, 'mf_new_dim': 14, 'num_forms': 4, 'prim_orbit_index': 4, 'relative_dim': 10, 'sturm_bound': 18, 'trace_bound': 4, 'trace_display': [0, 0, -7, 0], 'traces': [10, 0, 0, 12, -7, 0, 0, 0, -16, 0, 6, 0, 0, -8, 51, -72, 0, 0, 0, -72, 0, 0, 0, 0, -17, 68, 0, 0, 0, 0, 62, 0, 0, -88, 0, 112, 0, 0, 0, 0, 0, 0, 0, 28, 94, 0, 0, 0, 402, 0, 0, 0, 0, 0, -177, -504, 0, 0, -266, 216, 0, 0, 0, -76, 0, 420, 0, 0, -306, 140, -470, 0, 0, 0, -369, 0, 0, 0, 0, -72, -46, 0, 0, 0, 0, 668, 0, 0, 342, 0, 248, 0, 0, 0, 0, 0, 0, 0, 148, 528, 0, 0, 0, 324, 0, 0, 0, 0, 0, -420, -546, 0, 0, 420, 801, 0, 0, 0, -628, 0, 370, 0, 0, -524, 398, -2172, 0, 0, 0, -1100, 0, 0, 0, 0, -483, -264, 0, 0, 0, 0, 1704, 0, 0, 596, 0, 1468, 0, 0, 0, 0, 0, 0, 0, -1148, 421, 0, 0, 0, 444, 0, 0, 0, 0, 0, -699, -1292, 0, 0, -18, 1420, 0, 0, 0, -420, 0, 1184, 0, 0, 802, -436, -1558, 0, 0, 0, -609, 0, 0, 0, 0, -420, -798, 0, 0, 0, 0, 2416, 0, 0, 504, 0, 354, 0, 0, 0, 0, 0, 0, 0, -420, 2100, 0, 0, 0, 1132, 0, 0, 0, 0, 0, -892, -2312, 0, 0, 56, 1814, 0, 0, 0, -1386, 0, 2100, 0, 0, -1068, -384, -2560, 0, 0, 0, -2124, 0, 0, 0, 0, -2217, -840, 0, 0, 0, 0, 2710, 0, 0, 1532, 0, 856, 0, 0, 0, 0, 0, 0, 0, -1260, 876, 0, 0, 0, 4, 0, 0, 0, 0, 0, -267, -1296, 0, 0, -4, 2220, 0, 0, 0, -76, 0, 1748, 0, 0, 402, 420, -3306, 0, 0, 0, 251, 0, 0, 0, 0, -204, -112, 0, 0, 0, 0, 2148, 0, 0, 864, 0, 1000, 0, 0, 0, 0, 0, 0, 0, 420, 988, 0, 0, 0, 1876, 0, 0, 0, 0, 0, -840, -1678, 0, 0, 3352, 1791, 0, 0, 0, -3486, 0, 70, 0, 0, -1476, 1107, -4012, 0, 0, 0, -4400, 0, 0, 0, 0, -349, -652, 0, 0, 0, 0, 3190, 0, 0, -1864, 0, 2940, 0, 0, 0, 0, 0, 0, 0, -1948, 36, 0, 0, 0, 174, 0, 0, 0, 0, 0, -2100, -3112, 0, 0, -2426, 1680, 0, 0, 0, 1172, 0, 1556, 0, 0, 2100, -192, 232, 0, 0, 0, 265, 0, 0, 0, 0, 840, 714, 0, 0, 0, 0, -476, 0, 0, 3412, 0, -148, 0, 0, 0, 0, 0, 0, 0, 1680, 1060, 0, 0, 0, 924, 0, 0, 0, 0, 0, 1260, -1688, 0, 0, 1764, -159, 0, 0, 0, -1158, 0, 840, 0, 0, -4348, 1960, -1260, 0, 0, 0, -684, 0, 0, 0, 0, -1473, 208, 0, 0, 0, 0, 594, 0, 0, -2520, 0, 1484, 0, 0, 0, 0, 0, 0, 0, 612, 501, 0, 0, 0, 2844, 0, 0, 0, 0, 0, -2386, 548, 0, 0, -3796, -732, 0, 0, 0, 1764, 0, 2520, 0, 0, -746, -2940, -1232, 0, 0, 0, 456, 0, 0, 0, 0, 660, 2602, 0, 0, 0, 0, 488, 0, 0, 484, 0, -3236, 0, 0, 0, 0, 0, 0, 0, 1138, 672, 0, 0, 0, 616, 0, 0, 0, 0, 0, 1680, 420, 0, 0, -548, -63, 0, 0, 0, -2648, 0, -2940, 0, 0, -936, 2331, 2068, 0, 0, 0, -840, 0, 0, 0, 0, -1719, -2720, 0, 0, 0, 0, -2072, 0, 0, 1404, 0, -1292, 0, 0, 0, 0, 0, 0, 0, -1260, -1760, 0, 0, 0, -2168, 0, 0, 0, 0, 0, 833, 4200, 0, 0, -2100, -2940, 0, 0, 0, 8692, 0, -2364, 0, 0, 6362, 1316, 2898, 0, 0, 0, 3463, 0, 0, 0, 0, 5460, 1290, 0, 0, 0, 0, -2196, 0, 0, -3572, 0, 2542, 0, 0, 0, 0, 0, 0, 0, 2642, -1660, 0, 0, 0, -840, 0, 0, 0, 0, 0, 1116, 2910, 0, 0, 4404, -2100, 0, 0, 0, -7026, 0, -2940, 0, 0, -3208, 777, 1756, 0, 0, 0, -1620, 0, 0, 0, 0, -1869, -2604, 0, 0, 0, 0, -1090, 0, 0, -5188, 0, 1260, 0, 0, 0, 0, 0, 0, 0, -5100, -2088, 0, 0, 0, -958, 0, 0, 0, 0, 0, -1680, 2088, 0, 0, -3378, -4016, 0, 0, 0, 5176, 0, -3360, 0, 0, 6338, -5980, 3568, 0, 0, 0, 8001, 0, 0, 0, 0, 2856, 1680, 0, 0, 0, 0, -9692, 0, 0, 9472, 0, -7870, 0, 0, 0, 0, 0, 0, 0, 4194, 1260, 0, 0, 0, -6424, 0, 0, 0, 0, 0, 6740, 4344, 0, 0, 1812, -1609, 0, 0, 0, 840, 0, -3358, 0, 0, -4972, 3201, 8820, 0, 0, 0, 2520, 0, 0, 0, 0, 432, 2620, 0, 0, 0, 0, -2164, 0, 0, -3936, 0, -3624, 0, 0, 0, 0, 0, 0, 0, 420, -8124, 0, 0, 0, -6168, 0, 0, 0, 0, 0, 981, 9216, 0, 0, 2042, -2860, 0, 0, 0, 9240, 0, -420, 0, 0, 5974, -6300, 7990, 0, 0, 0, 3783, 0, 0, 0, 0, 3680, 3654, 0, 0, 0, 0, -9204, 0, 0, -2758, 0, -4200, 0, 0, 0, 0, 0, 0, 0, 2520, 840, 0, 0, 0, 2520, 0, 0, 0, 0, 0, 1108, -4370, 0, 0, -4424, -5043, 0, 0, 0, -8368, 0, -1370, 0, 0, -6300, -2779, 11592, 0, 0, 0, 4024, 0, 0, 0, 0, -5039, -4200, 0, 0, 0, 0, 592, 0, 0, -368, 0, -2120, 0, 0, 0, 0, 0, 0, 0, 2100, -1029, 0, 0, 0, -11096, 0, 0, 0, 0, 0, 2940, 7956, 0, 0, 1614, -4344, 0, 0, 0, 7648, 0, -4012, 0, 0, 6152, 1680, 3234, 0, 0, 0, 9141, 0, 0, 0, 0, 5556, -5540, 0, 0, 0, 0, -12600, 0, 0, -2940, 0, -4358, 0, 0, 0, 0, 0, 0, 0, 1454, -9592, 0, 0, 0, 2520, 0, 0, 0, 0, 0, 5040, 7892, 0, 0, 11124, 426, 0, 0, 0, -2982, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 46462
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '55.3.d.c', 'source_level': 55, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '55.3.d.c', 'target_level': 55, 'twist_class_label': '55.3.d.c', 'twist_class_level': 55, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 46463
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '55.3.d.c', 'source_level': 55, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '55.3.d.c', 'target_level': 55, 'twist_class_label': '55.3.d.c', 'twist_class_level': 55, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 46464
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '55.3.d.c', 'source_level': 55, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '55.3.d.c', 'target_level': 55, 'twist_class_label': '55.3.d.c', 'twist_class_level': 55, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 46465
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -55, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '55.3.d.c', 'source_level': 55, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '55.3.d.c', 'target_level': 55, 'twist_class_label': '55.3.d.c', 'twist_class_level': 55, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 46466
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '55.3.d.c', 'source_level': 55, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '275.3.c.b', 'target_level': 275, 'twist_class_label': '55.3.d.c', 'twist_class_level': 55, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 46467
{'conductor': 55, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '55.3.d.c', 'source_level': 55, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '275.3.c.b', 'target_level': 275, 'twist_class_label': '55.3.d.c', 'twist_class_level': 55, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 46468
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '55.3.d.c', 'source_level': 55, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '495.3.h.c', 'target_level': 495, 'twist_class_label': '55.3.d.c', 'twist_class_level': 55, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 46469
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '55.3.d.c', 'source_level': 55, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '495.3.h.c', 'target_level': 495, 'twist_class_label': '55.3.d.c', 'twist_class_level': 55, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 46470
{'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '55.3.d.c', 'source_level': 55, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '495.3.h.c', 'target_level': 495, 'twist_class_label': '55.3.d.c', 'twist_class_level': 55, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 46471
{'conductor': 165, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '55.3.d.c', 'source_level': 55, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '495.3.h.c', 'target_level': 495, 'twist_class_label': '55.3.d.c', 'twist_class_level': 55, 'twisting_char_label': '165.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 46472
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '55.3.d.c', 'source_level': 55, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '880.3.i.a', 'target_level': 880, 'twist_class_label': '55.3.d.c', 'twist_class_level': 55, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 46473
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '55.3.d.c', 'source_level': 55, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '880.3.i.a', 'target_level': 880, 'twist_class_label': '55.3.d.c', 'twist_class_level': 55, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 46474
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '55.3.d.c', 'source_level': 55, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '880.3.i.a', 'target_level': 880, 'twist_class_label': '55.3.d.c', 'twist_class_level': 55, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 46475
{'conductor': 220, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '55.3.d.c', 'source_level': 55, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '880.3.i.a', 'target_level': 880, 'twist_class_label': '55.3.d.c', 'twist_class_level': 55, 'twisting_char_label': '220.g', 'twisting_char_orbit': 7, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 184225
{'charpoly_factorization': [[[-11, 0, 1], 1]], 'hecke_orbit_code': 9007405463502903, 'p': 2}
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id: 184226
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007405463502903, 'p': 3}
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id: 184227
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 9007405463502903, 'p': 5}
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id: 184228
{'charpoly_factorization': [[[-176, 0, 1], 1]], 'hecke_orbit_code': 9007405463502903, 'p': 7}
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id: 184229
{'charpoly_factorization': [[[-11, 1], 2]], 'hecke_orbit_code': 9007405463502903, 'p': 11}
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id: 184230
{'charpoly_factorization': [[[-176, 0, 1], 1]], 'hecke_orbit_code': 9007405463502903, 'p': 13}
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id: 184231
{'charpoly_factorization': [[[-176, 0, 1], 1]], 'hecke_orbit_code': 9007405463502903, 'p': 17}
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id: 184232
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007405463502903, 'p': 19}
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id: 184233
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007405463502903, 'p': 23}
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id: 184234
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007405463502903, 'p': 29}
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id: 184235
{'charpoly_factorization': [[[18, 1], 2]], 'hecke_orbit_code': 9007405463502903, 'p': 31}
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id: 184236
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007405463502903, 'p': 37}
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id: 184237
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007405463502903, 'p': 41}
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id: 184238
{'charpoly_factorization': [[[-176, 0, 1], 1]], 'hecke_orbit_code': 9007405463502903, 'p': 43}
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id: 184239
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007405463502903, 'p': 47}
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id: 184240
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007405463502903, 'p': 53}
-
id: 184241
{'charpoly_factorization': [[[102, 1], 2]], 'hecke_orbit_code': 9007405463502903, 'p': 59}
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id: 184242
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007405463502903, 'p': 61}
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id: 184243
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007405463502903, 'p': 67}
-
id: 184244
{'charpoly_factorization': [[[78, 1], 2]], 'hecke_orbit_code': 9007405463502903, 'p': 71}
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id: 184245
{'charpoly_factorization': [[[-21296, 0, 1], 1]], 'hecke_orbit_code': 9007405463502903, 'p': 73}
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id: 184246
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007405463502903, 'p': 79}
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id: 184247
{'charpoly_factorization': [[[-176, 0, 1], 1]], 'hecke_orbit_code': 9007405463502903, 'p': 83}
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id: 184248
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 9007405463502903, 'p': 89}
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id: 184249
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007405463502903, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 3, 'label': '55.3.d.c', 'level': 55, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 30260797
{'hecke_orbit_code': 9007405463502903, 'n': 1, 'trace_an': 2}
-
id: 30260798
{'hecke_orbit_code': 9007405463502903, 'n': 2, 'trace_an': 0}
-
id: 30260799
{'hecke_orbit_code': 9007405463502903, 'n': 3, 'trace_an': 0}
-
id: 30260800
{'hecke_orbit_code': 9007405463502903, 'n': 4, 'trace_an': 14}
-
id: 30260801
{'hecke_orbit_code': 9007405463502903, 'n': 5, 'trace_an': -10}
-
id: 30260802
{'hecke_orbit_code': 9007405463502903, 'n': 6, 'trace_an': 0}
-
id: 30260803
{'hecke_orbit_code': 9007405463502903, 'n': 7, 'trace_an': 0}
-
id: 30260804
{'hecke_orbit_code': 9007405463502903, 'n': 8, 'trace_an': 0}
-
id: 30260805
{'hecke_orbit_code': 9007405463502903, 'n': 9, 'trace_an': 18}
-
id: 30260806
{'hecke_orbit_code': 9007405463502903, 'n': 10, 'trace_an': 0}
-
id: 30260807
{'hecke_orbit_code': 9007405463502903, 'n': 11, 'trace_an': 22}
-
id: 30260808
{'hecke_orbit_code': 9007405463502903, 'n': 12, 'trace_an': 0}
-
id: 30260809
{'hecke_orbit_code': 9007405463502903, 'n': 13, 'trace_an': 0}
-
id: 30260810
{'hecke_orbit_code': 9007405463502903, 'n': 14, 'trace_an': -88}
-
id: 30260811
{'hecke_orbit_code': 9007405463502903, 'n': 15, 'trace_an': 0}
-
id: 30260812
{'hecke_orbit_code': 9007405463502903, 'n': 16, 'trace_an': 10}
-
id: 30260813
{'hecke_orbit_code': 9007405463502903, 'n': 17, 'trace_an': 0}
-
id: 30260814
{'hecke_orbit_code': 9007405463502903, 'n': 18, 'trace_an': 0}
-
id: 30260815
{'hecke_orbit_code': 9007405463502903, 'n': 19, 'trace_an': 0}
-
id: 30260816
{'hecke_orbit_code': 9007405463502903, 'n': 20, 'trace_an': -70}
-
id: 30260817
{'hecke_orbit_code': 9007405463502903, 'n': 21, 'trace_an': 0}
-
id: 30260818
{'hecke_orbit_code': 9007405463502903, 'n': 22, 'trace_an': 0}
-
id: 30260819
{'hecke_orbit_code': 9007405463502903, 'n': 23, 'trace_an': 0}
-
id: 30260820
{'hecke_orbit_code': 9007405463502903, 'n': 24, 'trace_an': 0}
-
id: 30260821
{'hecke_orbit_code': 9007405463502903, 'n': 25, 'trace_an': 50}
-
id: 30260822
{'hecke_orbit_code': 9007405463502903, 'n': 26, 'trace_an': 88}
-
id: 30260823
{'hecke_orbit_code': 9007405463502903, 'n': 27, 'trace_an': 0}
-
id: 30260824
{'hecke_orbit_code': 9007405463502903, 'n': 28, 'trace_an': 0}
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