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mf_newforms • Show schema
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{'Nk2': 3648, 'analytic_conductor': 7.282356664340771, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 6, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 41, 'char_orbit_label': 'bo', 'char_order': 9, 'char_parity': 1, 'char_values': [912, 9, [799, 229, 305, 97], [9, 9, 9, 1]], 'cm_discs': [], 'conrey_index': 289, 'dim': 12, 'field_disc': 21032670927321, 'field_disc_factorization': [[3, 18], [233, 2]], 'field_poly': [1, 3, 12, 16, -6, -27, 5, 27, -6, -16, 12, -3, 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': [[5, [1, -3, 12, -16, -6, 27, 5, -27, -6, 16, 12, 3, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31527946204218256, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 5, 1, 9, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '912.2.bo.h', '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': '456.2.bg.a', 'prim_orbit_index': 5, 'qexp_display': 'q+(-\\beta _{2}+\\beta _{11})q^{3}-\\beta _{1}q^{5}+(\\beta _{2}+\\beta _{3}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '912.2.bo', 'trace_display': [0, 0, -3, 0], 'trace_hash': 1852867768829168899, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.594', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '439.124', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '28802.203', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [12, 0, 0, 0, -3, 0, 0, 0, 0, 0, 3, 0, 9, 0, 3, 0, -9, 0, -6, 0, 12, 0, -24, 0, -15, 0, 6, 0, -3, 0, -3, 0, 0, 0, -24, 0, -30, 0, -6, 0, 15, 0, -27, 0, 3, 0, 30, 0, -12, 0, 0, 0, 6, 0, 12, 0, 3, 0, 3, 0, -6, 0, 6, 0, -9, 0, 45, 0, 12, 0, -27, 0, 21, 0, 30, 0, -30, 0, 3, 0, 0, 0, -6, 0, 51, 0, 3, 0, -3, 0, 42, 0, -9, 0, -24, 0, 39, 0, 0, 0, -18, 0, -6, 0, -21, 0, -3, 0, 54, 0, -12, 0, -84, 0, -6, 0, 9, 0, -27, 0, -9, 0, 30, 0, 3, 0, -6, 0, 27, 0, 18, 0, -75, 0, 3, 0, -18, 0, 21, 0, 0, 0, 24, 0, 18, 0, -18, 0, -48, 0, 54, 0, -30, 0, -3, 0, 39, 0, -3, 0, -36, 0, 15, 0, 33, 0, 0, 0, -75, 0, -12, 0, 75, 0, -48, 0, 24, 0, -33, 0, -78, 0, 0, 0, 12, 0, -24, 0, 0, 0, -84, 0, 111, 0, -18, 0, 0, 0, -18, 0, 12, 0, -30, 0, 63, 0, 3, 0, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, -2, 0, 0, -1, 1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 1, 1, 0, -2, 1, -2, -1, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, -1, 1, 1, 1, 1, 0, 0, -1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 2, -2, -1, 2, -2, 2, 1, -2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, -2, -3, 1, -2, -1, 0, -1, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, -1, -2, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, -1, -1, 2, 0, -1, 0, 0, 0, 2, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 1, 1, 1, -1, 0, -3, -1, 1, 0], [0, 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2], [1, 6, -5, 3, -7, 1, 0, -7, 9, 4, -1, 10], [2, -7, -11, 2, -2, 0, 9, -7, 3, -10, 2, 10], [1, 0, 4, -3, 5, -4, 2, -2, -12, 1, -4, 0], [12, -15, -14, 3, 9, 9, 6, 0, -4, -9, -4, 6], [-3, 4, 5, -15, -1, -3, 0, -1, 3, -2, 3, 0], [0, -9, -4, -3, -3, 11, -11, 12, 5, -7, 9, 8], [12, 3, 3, 3, -3, 6, -7, -6, -12, -13, 1, -3], [10, -8, -15, 21, 6, 2, -8, -1, -3, -5, 0, 10], [-8, 0, 2, 1, 3, -10, -4, 4, -12, -8, -10, 0], [8, 0, 3, 15, 0, -4, 8, -8, 11, 8, -4, 0], [-3, -4, -14, 18, 4, 0, -4, -3, 4, 4, 0, -3], [1, -4, 3, -5, -5, 8, -8, 9, 7, -5, 4, 0], [3, -4, 2, 5, 4, -10, 2, 10, -3, 0, 8, -2], [-2, -2, 13, 13, -1, -1, 3, 0, -1, 1, 3, -14], [5, -10, 8, 16, 7, -10, 7, 3, 3, 4, 3, 1], [4, 0, -12, -10, -8, 8, -13, 13, 6, 4, 8, 0], [-9, -1, 2, -15, 1, 1, 0, 0, -6, -1, -9, 16], [11, 1, 3, -18, -12, 4, 0, -12, 2, -7, -11, 13], [-8, -2, -13, 3, 3, 8, -8, -1, -11, -2, 2, 19], [19, -3, 0, 8, 0, 12, -14, -2, -17, -20, -14, 19], [-3, -1, 1, -9, 4, 8, 0, 4, -9, -9, 3, -12], [8, -8, -11, 8, 4, 0, 13, -8, 7, 0, -4, 0], [-6, -7, -8, 13, 3, -7, 3, -2, -2, 0, -2, 18], [-1, -4, 21, 9, 5, -4, 0, 5, -10, -17, 1, -11], [9, -2, 12, 2, 2, 5, -3, -5, -9, -12, -2, -12], [-8, 5, 0, 6, 0, -3, -3, -6, -20, -3, -3, -4], [15, -10, 1, -4, -3, 13, -10, -2, -4, -17, 0, 15], [12, -11, 4, 23, 17, -11, 17, -8, -8, -13, -8, 2], [-4, 6, 7, -4, -9, 0, -4, 6, 24, 22, 9, -22], [-9, 0, 13, -14, -1, 1, 0, 7, -6, -7, 0, -9], [8, 0, -11, 1, -10, 10, 0, -10, -9, -19, 0, 8], [14, -6, 14, 17, 2, -6, 2, 0, 0, 3, 0, 1], [4, -9, 0, 11, 7, 7, 2, 0, -11, -7, 0, -4], [-2, 3, -6, -21, -1, 1, 0, -1, 1, 5, 2, -1], [-5, 0, 4, -4, -4, 10, -10, 4, 4, -10, 0, -4], [-15, 4, 13, 0, 0, -10, 10, -4, 9, 23, -4, 0], [-1, -6, -10, 2, 7, -5, 0, 7, 14, 15, 1, 13], [9, 0, 7, 19, 11, -13, 10, -10, -5, 9, -13, 0], [0, -12, 0, 10, 11, -12, 11, 0, 0, -5, 0, -1], [3, -8, -1, -3, -4, 12, -8, 1, -12, -24, 0, 3], [-6, -13, -9, -1, 19, 3, 0, 19, 7, 6, 6, 1], [-8, -6, -6, 5, 5, 1, -1, 1, 0, -13, 6, -6], [-4, -17, 0, -6, 0, 0, 8, 8, 18, 6, 8, -8], [-7, -2, 10, -6, 4, -2, -2, 5, 2, 4, 0, -7], [5, 3, -15, 5, 4, 0, 1, 3, 13, 2, -4, -2], [-3, -2, 0, -5, -6, -2, -6, 3, 3, -21, 3, 1], [-6, -12, 0, 6, 0, -11, 10, -1, 8, 5, 10, -12], [-9, 0, -7, 3, 0, -4, -1, 4, 9, 11, 5, 7], [3, 11, 7, 0, 0, 5, -5, -11, -4, -4, -11, -6], [8, -11, -5, 3, 3, 11, 0, 3, -3, -6, -8, 5], [-6, -5, 10, -1, 3, 3, 2, 0, -11, -3, -8, 4], [2, 15, -2, -14, -1, 15, -1, -4, -4, -6, -4, -11], [-13, -6, -3, -13, -3, 0, 23, -6, 16, 10, 3, -10], [-4, 0, 2, -16, 4, 8, 0, 4, 11, -10, 4, 7], [-2, 8, 7, 3, 3, -19, 19, -11, -1, 23, -8, -3], [-10, 6, 6, 1, 4, -12, 0, 4, 6, 6, 10, -4], [10, 0, 16, -1, -4, -7, 12, -12, -4, 10, -7, 0], [8, 3, -14, -5, 15, 15, -18, 0, -12, -15, -14, 20], [0, 17, -6, 0, -17, 8, -17, -8, 0, 0, 9, 6], [-15, -7, 0, 5, 0, -4, 8, 4, -4, -1, 8, -17], [2, -11, 4, 2, 23, 0, 6, -11, -22, 5, -23, -5], [-2, 0, 26, -8, -2, -4, -8, 8, -10, -2, -4, 0], [-10, 0, -4, -13, -16, 18, -3, 3, 21, -10, 18, 0], [-14, 6, 4, -1, 3, -9, 6, -1, 9, 18, 0, -14], [-28, 9, 27, -12, -9, -11, -5, 11, 28, 20, 16, -27], [-23, 0, -3, 0, 0, -16, 16, 0, -3, 5, 0, -8], [17, 4, -23, 23, 0, -4, 4, -24, -5, -1, 0, 17], [10, -12, -16, 4, 17, 17, -5, 0, -21, -17, -7, 13], [7, -6, -5, 7, 11, 0, 9, -6, -6, 0, -11, 0], [-11, -6, 14, 4, 4, -15, 15, 2, 20, 24, 6, -5], [13, 3, -8, 13, -14, 0, -14, 3, 14, -8, 14, 8], [-19, 9, -2, -13, -14, -14, 5, 0, 22, 14, 22, -1], [-18, 8, -19, -16, -8, 8, -8, -1, -1, 3, -1, 11], [15, 12, -7, 6, -5, -5, -7, 0, -17, 5, 3, -11], [-6, 21, 4, -16, -12, -9, 21, -15, 2, 11, 0, -6], [2, 19, -10, -27, -21, 13, 0, -21, 8, -3, -2, 10], [15, 1, 7, 12, -1, -4, -4, 4, -15, -6, 8, -7], [-7, 0, -11, 17, 2, -1, -8, 8, 14, -7, -1, 0], [-6, 0, -24, 12, 9, 6, 2, -2, 9, -6, 6, 0], [4, 7, 0, -17, -5, 7, -5, -4, -4, -14, -4, -12], [13, -3, -11, 13, 12, 0, 9, -3, 14, 15, -12, -15], [7, -7, 1, -2, 7, -5, 6, 5, -7, -10, -1, -1], [-7, 17, 8, -6, -10, -7, 0, -10, -4, -1, 7, -11], [-2, -3, -5, 1, -4, 7, -3, 4, 23, 16, 0, -2], [21, -4, -15, 12, 1, 1, 3, 0, -8, -1, 5, -11], [-13, -4, 0, 5, 0, -1, 5, 4, -8, -4, 5, 4], [7, 9, 8, -15, -15, 25, -25, 6, -1, -21, -9, -4], [3, 2, -2, -4, -5, 3, 0, -5, -7, -1, -3, -4], [5, 0, 28, -3, 5, -3, -4, 4, -11, 5, -3, 0], [-10, 18, -1, -16, -3, -3, -15, 0, -2, 3, -2, 13], [9, -6, -3, 23, 20, -14, -6, -2, 0, 14, 0, 9], [2, 0, 15, -16, 0, -6, 9, 6, -2, -9, -3, -15], [-7, -9, 6, 16, 9, -10, 6, 10, 7, 20, 4, -6], [7, 0, 6, -3, 2, 5, -2, 2, 0, 7, 5, 0], [-4, 0, 2, -7, 6, -1, -1, 1, -14, -4, -1, 0], [-5, 0, -2, -5, 0, 0, 7, 0, 25, 23, 0, -23], [-15, -3, 0, -7, 0, -6, 15, 9, 22, 13, 15, -19], [-4, -10, 9, -4, 10, 2, 8, -2, 4, -2, -10, -9], [23, -7, -18, 29, 11, -4, -7, 6, -9, -5, 0, 23]], 'char_orbit_index': 41, 'field_poly': [1, 3, 12, 16, -6, -27, 5, 27, -6, -16, 12, -3, 1], 'hecke_orbit_code': 31527946204218256, 'hecke_ring_character_values': [[799, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [229, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [305, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [97, [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 1, 1, 1, -1, 0, 2, -1, 1, 0], [0, -3, 0, 0, 1, 0, -4, -3, 0, 1, -1, -1], [12, 0, -4, -12, -10, -11, 3, -3, -13, 12, -11, 0], [11, 35, -8, -15, -23, -12, 35, 33, -10, 2, 0, 11], [-114, 38, 23, 109, 76, 101, 0, 76, 126, -124, 114, 12], [-240, -324, 101, 286, 324, 238, -364, -238, 240, -162, 126, -101], [901, -764, -126, -766, -402, -764, -402, -1027, -1027, 1088, -1027, -238], [3458, 2431, -1166, -3723, -3723, -3281, 3281, 1292, -3597, 2879, -2431, 764], [-5337, 10462, 0, 3723, 0, 4125, 7768, 11893, 6476, -7848, 7768, 3281], [-41172, -13185, 11893, 42096, 37971, 37971, -24786, 0, 43866, -37971, 33404, -4125]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1265, -2526, 928, 4990, -3739, -2390, 1688, 1280, -1576, 577, -177, 23], [-1304, -3987, -2109, 5897, 3660, -8064, 1279, 2118, -375, -473, 78, -75], [1379, 4421, -978, -6806, 1787, 9699, -8968, 1186, 2043, -1102, 349, -72], [1601, 6083, 5609, -9607, -9687, 11210, 9120, -15428, 7557, -1670, 431, 34], [102, 1377, 2199, -2735, -2140, 942, 2302, -754, -1320, 1062, -263, 92], [23, 1334, 2802, -560, -5128, 3118, 2505, -1067, -1418, 1208, -301, 108], [-1071, -975, 4367, 1528, -3696, -1792, 3508, 708, -2694, 1487, -398, 102], [1268, 5281, 5919, -4649, -10810, 5695, 11358, -9553, 710, 1674, -404, 231], [3349, 2091, -1625, 76, -1318, -2624, 5213, 401, -4447, 3007, -729, 232], [-1179, -6438, -10636, -424, 16239, 4896, -19546, -2551, 16734, -10307, 2629, -765]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '912.2.bo.h', 'level': 912, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3648, 'analytic_conductor': 7.282356664340771, 'char_conductor': 19, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 41, 'char_orbit_label': 'bo', 'char_order': 9, 'char_parity': 1, 'char_values': [912, 9, [799, 229, 305, 97], [9, 9, 9, 1]], 'conrey_index': 289, 'cusp_dim': 888, 'dim': 120, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 2748812624784, 'hecke_orbit_dims': [6, 6, 6, 6, 6, 6, 12, 12, 12, 12, 18, 18], 'label': '912.2.bo', '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, 'mf_dim': 1032, 'mf_new_dim': 120, 'num_forms': 12, 'prim_orbit_index': 5, 'relative_dim': 20, 'sturm_bound': 320, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, -6, 0, 0, 0, 36, 0, -60, 0, 12, 0, 24, 0, -36, 0, 0, 0, 0, 0, 24, 0, 12, 0, -24, 0, 66, 0, 24, 0, 72, 0, -12, 0, 84, 0, 0, 0, 84, 0, 0, 0, 0, 0, 72, 0, 36, 0, -24, 0, 12, 0, 0, 0, 60, 0, 24, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, 24, 0, 0, 0, 60, 0, -60, 0, 0, 0, 0, 0, -72, 0, -12, 0, -48, 0, -48, 0, 0, 0, -48, 0, -150, 0, 0, 0, -60, 0, -48, 0, -6, 0, -120, 0, -252, 0, 0, 0, -168, 0, -48, 0, 0, 0, -120, 0, -96, 0, 0, 0, -156, 0, -60, 0, 12, 0, -24, 0, -114, 0, 0, 0, 0, 0, 0, 0, 48, 0, 24, 0, 84, 0, 0, 0, -144, 0, 12, 0, -36, 0, 0, 0, 60, 0, 0, 0, 0, 0, -120, 0, 0, 0, 24, 0, 96, 0, 24, 0, -24, 0, 36, 0, -42, 0, 0, 0, 198, 0, 0, 0, 168, 0, 0, 0, 0, 0, 48, 0, 36, 0, 0, 0, 0, 0, 24, 0, 0, 0, -72, 0, 48, 0, -48, 0, 84, 0, -24, 0, 72, 0, 24, 0, -138, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 108, 0, 12, 0, -264, 0, 24, 0, -30, 0, 96, 0, -132, 0, -24, 0, -204, 0, 120, 0, -144, 0, 0, 0, 84, 0, 0, 0, -132, 0, 72, 0, -120, 0, 144, 0, -156, 0, 24, 0, -24, 0, 48, 0, -72, 0, -96, 0, -216, 0, 96, 0, -276, 0, -120, 0, -96, 0, 48, 0, -120, 0, 0, 0, -60, 0, 48, 0, 36, 0, 48, 0, 60, 0, -24, 0, 36, 0, 96, 0, -6, 0, -120, 0, 372, 0, 48, 0, 240, 0, -84, 0, 0, 0, 240, 0, 198, 0, 0, 0, 180, 0, 0, 0, 72, 0, -240, 0, 360, 0, 0, 0, 276, 0, -240, 0, 0, 0, 48, 0, 216, 0, 0, 0, 312, 0, 288, 0, -78, 0, 0, 0, 306, 0, 0, 0, 108, 0, -72, 0, -108, 0, 192, 0, -60, 0, 0, 0, 312, 0, -120, 0, 36, 0, -72, 0, -198, 0, 0, 0, 36, 0, -84, 0, 0, 0, 0, 0, -102, 0, 12, 0, 72, 0, 0, 0, 60, 0, 48, 0, -204, 0, 0, 0, -432, 0, 96, 0, 12, 0, -120, 0, 12, 0, -48, 0, 0, 0, -72, 0, -42, 0, 24, 0, 0, 0, 24, 0, -24, 0, -36, 0, -72, 0, 72, 0, 18, 0, 24, 0, 240, 0, -48, 0, 72, 0, -96, 0, -228, 0, -48, 0, 360, 0, 72, 0, 300, 0, -216, 0, 222, 0, 24, 0, 444, 0, -96, 0, 144, 0, 96, 0, 12, 0, -72, 0, 252, 0, 72, 0, 0, 0, -96, 0, -96, 0, 72, 0, 0, 0, -288, 0, 174, 0, 336, 0, 270, 0, -48, 0, 600, 0, -48, 0, 216, 0, -24, 0, 270, 0, 48, 0, 48, 0, 96, 0, 12, 0, 192, 0, 120, 0, 0, 0, 96, 0, 84, 0, 84, 0, 168, 0, -564, 0, 0, 0, -252, 0, 264, 0, 12, 0, 96, 0, -252, 0, 0, 0, -24, 0, -72, 0, -42, 0, 504, 0, -384, 0, -48, 0, -504, 0, 456, 0, 0, 0, 168, 0, -276, 0, 0, 0, -480, 0, 120, 0, 132, 0, 72, 0, -138, 0, -36, 0, -180, 0, 312, 0, 0, 0, 120, 0, -24, 0, 0, 0, -360, 0, -120, 0, -78, 0, 120, 0, -84, 0, 0, 0, -144, 0, 192, 0, 0, 0, -72, 0, 36, 0, 48, 0, 12, 0, 48, 0, 0, 0, -240, 0, 234, 0, 0, 0, 432, 0, -336, 0, -78, 0, -144, 0, -30, 0, 24, 0, -36, 0, 48, 0, 72, 0, -24, 0, 0, 0, 72, 0, -48, 0, 48, 0, 48, 0, 0, 0, -180, 0, -96, 0, -420, 0, -24, 0, -192, 0, -24, 0, -60, 0, -60, 0, -588, 0, -48, 0, -552, 0, -240, 0, 66, 0, -24, 0, -600, 0, -72, 0, -120, 0, -24, 0, -30, 0, -72, 0, -108, 0, -120, 0, -288, 0, -96, 0, -228, 0, -72, 0, -12, 0, -324, 0, -180, 0, -336, 0, -306, 0, -180, 0, -576, 0, -72, 0, 0, 0, -168, 0, -204, 0, -120, 0, -60, 0, 36, 0, -120, 0, -528, 0, -168, 0, -24, 0, -144, 0, -144, 0, -216, 0, 120, 0, 420, 0, -144, 0, 144, 0, 36, 0, -6, 0, -96, 0, 432, 0, 0, 0, 444, 0, -48, 0, 144, 0, 408, 0, 768, 0, 48, 0, 564, 0, 384, 0, 0, 0, -312, 0, 384, 0, 0, 0, 288, 0, -336, 0, -72, 0, -24, 0, 330, 0, 72, 0, 144, 0, 336, 0, -114, 0, -96, 0, -138, 0, -24, 0, 576, 0, -48, 0, 108, 0, 72, 0, 78, 0, 0, 0, 300, 0, 348, 0, 0, 0, 72, 0, -504, 0, 0, 0, -24, 0, -48, 0, 138, 0, -96, 0, -312, 0, 0, 0, -216, 0, -192, 0, 132, 0, 144, 0, -132, 0, 72, 0, 72, 0, -120, 0, -24, 0, -96, 0, -204, 0, -144, 0, 156, 0, -120, 0, -66, 0, 168, 0, 156, 0, 0, 0, 396, 0, -144, 0, 144, 0, -144, 0, -192, 0, 120, 0, 672, 0, -84, 0, 204, 0, 72, 0, 192, 0, -72, 0, 336, 0, 288, 0, 246, 0, 96, 0, -240, 0, 0, 0, 288, 0, -288, 0, 288, 0, 336, 0, 306, 0, -228, 0, 36, 0, 144, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 569305
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 41, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '912.2.bo.h', 'source_level': 912, 'target_char_orbit': 33, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '456.2.bg.a', 'target_level': 456, 'twist_class_label': '456.2.bg.a', 'twist_class_level': 456, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 569306
{'conductor': 76, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 41, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '912.2.bo.h', 'source_level': 912, 'target_char_orbit': 33, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '456.2.bg.a', 'target_level': 456, 'twist_class_label': '456.2.bg.a', 'twist_class_level': 456, 'twisting_char_label': '76.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 569307
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 41, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '912.2.bo.h', 'source_level': 912, 'target_char_orbit': 41, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '912.2.bo.h', 'target_level': 912, 'twist_class_label': '456.2.bg.a', 'twist_class_level': 456, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 569308
{'conductor': 19, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 41, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '912.2.bo.h', 'source_level': 912, 'target_char_orbit': 41, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '912.2.bo.h', 'target_level': 912, 'twist_class_label': '456.2.bg.a', 'twist_class_level': 456, 'twisting_char_label': '19.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 569309
{'conductor': 76, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 41, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '912.2.bo.h', 'source_level': 912, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '8664.2.a.bf', 'target_level': 8664, 'twist_class_label': '456.2.bg.a', 'twist_class_level': 456, 'twisting_char_label': '76.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 569310
{'conductor': 76, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 41, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '912.2.bo.h', 'source_level': 912, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '8664.2.a.bi', 'target_level': 8664, 'twist_class_label': '456.2.bg.a', 'twist_class_level': 456, 'twisting_char_label': '76.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1485300
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 31527946204218256, 'p': 2}
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id: 1485301
{'charpoly_factorization': [[[1, 0, 0, -1, 0, 0, 1], 2]], 'hecke_orbit_code': 31527946204218256, 'p': 3}
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id: 1485302
{'charpoly_factorization': [[[1, -3, 12, -16, -6, 27, 5, -27, -6, 16, 12, 3, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 5}
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id: 1485303
{'charpoly_factorization': [[[1369, -5106, 23706, 15760, 17913, 4680, 3812, 732, 603, 44, 27, 0, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 7}
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id: 1485304
{'charpoly_factorization': [[[2809, -12243, 51612, -18965, 27555, -11874, 11951, -3564, 1377, -115, 42, -3, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 11}
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id: 1485305
{'charpoly_factorization': [[[361, -3819, 16539, -37459, 50265, -41880, 22052, -7689, 2118, -449, 78, -9, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 13}
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id: 1485306
{'charpoly_factorization': [[[1247689, -2955582, 2814048, 1704751, 821844, 229617, 28569, -1206, -1251, -254, 18, 9, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 17}
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id: 1485307
{'charpoly_factorization': [[[47045881, 14856594, 7819260, 1550134, 305406, 38646, 2619, 2034, 846, 226, 60, 6, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 19}
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id: 1485308
{'charpoly_factorization': [[[2809, 4929, -3015, -26798, 147324, 90534, 48671, 20208, 6045, 1418, 243, 24, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 23}
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id: 1485309
{'charpoly_factorization': [[[1369, 10434, 37842, 70329, 78402, 49107, 29294, -2112, 1509, -105, -60, 3, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 29}
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id: 1485310
{'charpoly_factorization': [[[53392249, -4493805, 11799066, -1040873, 1979199, -143802, 119535, 1512, 4473, 49, 84, 3, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 31}
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id: 1485311
{'charpoly_factorization': [[[-107, -774, -1230, -569, 0, 15, 1], 2]], 'hecke_orbit_code': 31527946204218256, 'p': 37}
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id: 1485312
{'charpoly_factorization': [[[5726449, -29778492, 50120841, -38716189, 75786933, -21341313, 2920037, -238545, 13332, -632, 102, -15, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 41}
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id: 1485313
{'charpoly_factorization': [[[6927399361, 3457498971, 1375983546, 314934517, 46747260, 1853733, -65824, -59424, -11823, 197, 267, 27, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 43}
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id: 1485314
{'charpoly_factorization': [[[85618009, 58071828, -7668795, -61585706, 43393968, -14315040, 3105732, -511974, 65601, -6500, 525, -30, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 47}
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id: 1485315
{'charpoly_factorization': [[[1, -3, 192, 362, 570, 180, 329, -450, 750, 178, -33, -6, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 53}
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id: 1485316
{'charpoly_factorization': [[[3143529, 1340388, 3196422, 2864295, 899910, 586305, 303147, -108864, 13887, 1560, -126, -3, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 59}
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id: 1485317
{'charpoly_factorization': [[[63001, 182226, 5305326, -1681832, 9783, 84744, -40551, 3528, 4032, -398, -15, 6, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 61}
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id: 1485318
{'charpoly_factorization': [[[8257720384, -2888639136, 192869856, 275498816, 20742948, 7657362, 990017, -704124, 131724, -13910, 990, -45, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 67}
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id: 1485319
{'charpoly_factorization': [[[46416969, 239320251, 534933720, 118462905, 34840206, 9729963, 919260, 16740, 16371, 2907, 333, 27, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 71}
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id: 1485320
{'charpoly_factorization': [[[237992329, -133335561, 5365602, 213242, 7314540, -3342741, 863963, -170007, 30846, -3380, 270, -21, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 73}
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id: 1485321
{'charpoly_factorization': [[[1369, -9879, 310530, -640735, 634572, 25407, 153606, 124542, 28323, 1739, -93, -3, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 79}
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id: 1485322
{'charpoly_factorization': [[[121764008809, -27002216754, 12543292266, 434773012, 374816349, 10872162, 5872560, 233010, 58095, 1354, 297, 6, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 83}
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id: 1485323
{'charpoly_factorization': [[[46416969, -6254334, -10741086, 5856975, 3236112, -330345, -99747, -6210, 3951, -642, 270, 3, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 89}
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id: 1485324
{'charpoly_factorization': [[[1787682961, -436720449, 249615378, -43247875, 8855601, -11771691, 4776569, -909087, 109821, -10040, 747, -39, 1], 1]], 'hecke_orbit_code': 31527946204218256, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 41, 'hecke_orbit': 8, 'label': '912.2.bo.h', 'level': 912, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 50273083
{'hecke_orbit_code': 31527946204218256, 'n': 1, 'trace_an': 12}
-
id: 50273084
{'hecke_orbit_code': 31527946204218256, 'n': 2, 'trace_an': 0}
-
id: 50273085
{'hecke_orbit_code': 31527946204218256, 'n': 3, 'trace_an': 0}
-
id: 50273086
{'hecke_orbit_code': 31527946204218256, 'n': 4, 'trace_an': 0}
-
id: 50273087
{'hecke_orbit_code': 31527946204218256, 'n': 5, 'trace_an': -3}
-
id: 50273088
{'hecke_orbit_code': 31527946204218256, 'n': 6, 'trace_an': 0}
-
id: 50273089
{'hecke_orbit_code': 31527946204218256, 'n': 7, 'trace_an': 0}
-
id: 50273090
{'hecke_orbit_code': 31527946204218256, 'n': 8, 'trace_an': 0}
-
id: 50273091
{'hecke_orbit_code': 31527946204218256, 'n': 9, 'trace_an': 0}
-
id: 50273092
{'hecke_orbit_code': 31527946204218256, 'n': 10, 'trace_an': 0}
-
id: 50273093
{'hecke_orbit_code': 31527946204218256, 'n': 11, 'trace_an': 3}
-
id: 50273094
{'hecke_orbit_code': 31527946204218256, 'n': 12, 'trace_an': 0}
-
id: 50273095
{'hecke_orbit_code': 31527946204218256, 'n': 13, 'trace_an': 9}
-
id: 50273096
{'hecke_orbit_code': 31527946204218256, 'n': 14, 'trace_an': 0}
-
id: 50273097
{'hecke_orbit_code': 31527946204218256, 'n': 15, 'trace_an': 3}
-
id: 50273098
{'hecke_orbit_code': 31527946204218256, 'n': 16, 'trace_an': 0}
-
id: 50273099
{'hecke_orbit_code': 31527946204218256, 'n': 17, 'trace_an': -9}
-
id: 50273100
{'hecke_orbit_code': 31527946204218256, 'n': 18, 'trace_an': 0}
-
id: 50273101
{'hecke_orbit_code': 31527946204218256, 'n': 19, 'trace_an': -6}
-
id: 50273102
{'hecke_orbit_code': 31527946204218256, 'n': 20, 'trace_an': 0}
-
id: 50273103
{'hecke_orbit_code': 31527946204218256, 'n': 21, 'trace_an': 12}
-
id: 50273104
{'hecke_orbit_code': 31527946204218256, 'n': 22, 'trace_an': 0}
-
id: 50273105
{'hecke_orbit_code': 31527946204218256, 'n': 23, 'trace_an': -24}
-
id: 50273106
{'hecke_orbit_code': 31527946204218256, 'n': 24, 'trace_an': 0}
-
id: 50273107
{'hecke_orbit_code': 31527946204218256, 'n': 25, 'trace_an': -15}
-
id: 50273108
{'hecke_orbit_code': 31527946204218256, 'n': 26, 'trace_an': 0}
-
id: 50273109
{'hecke_orbit_code': 31527946204218256, 'n': 27, 'trace_an': 6}
-
id: 50273110
{'hecke_orbit_code': 31527946204218256, 'n': 28, 'trace_an': 0}
-
id: 50273111
{'hecke_orbit_code': 31527946204218256, 'n': 29, 'trace_an': -3}
-
id: 50273112
{'hecke_orbit_code': 31527946204218256, 'n': 30, 'trace_an': 0}
-
id: 50273113
{'hecke_orbit_code': 31527946204218256, 'n': 31, 'trace_an': -3}
-
id: 50273114
{'hecke_orbit_code': 31527946204218256, 'n': 32, 'trace_an': 0}
-
id: 50273115
{'hecke_orbit_code': 31527946204218256, 'n': 33, 'trace_an': 0}
-
id: 50273116
{'hecke_orbit_code': 31527946204218256, 'n': 34, 'trace_an': 0}
-
id: 50273117
{'hecke_orbit_code': 31527946204218256, 'n': 35, 'trace_an': -24}
-
id: 50273118
{'hecke_orbit_code': 31527946204218256, 'n': 36, 'trace_an': 0}
-
id: 50273119
{'hecke_orbit_code': 31527946204218256, 'n': 37, 'trace_an': -30}
-
id: 50273120
{'hecke_orbit_code': 31527946204218256, 'n': 38, 'trace_an': 0}
-
id: 50273121
{'hecke_orbit_code': 31527946204218256, 'n': 39, 'trace_an': -6}
-
id: 50273122
{'hecke_orbit_code': 31527946204218256, 'n': 40, 'trace_an': 0}
-
id: 50273123
{'hecke_orbit_code': 31527946204218256, 'n': 41, 'trace_an': 15}
-
id: 50273124
{'hecke_orbit_code': 31527946204218256, 'n': 42, 'trace_an': 0}
-
id: 50273125
{'hecke_orbit_code': 31527946204218256, 'n': 43, 'trace_an': -27}
-
id: 50273126
{'hecke_orbit_code': 31527946204218256, 'n': 44, 'trace_an': 0}
-
id: 50273127
{'hecke_orbit_code': 31527946204218256, 'n': 45, 'trace_an': 3}
-
id: 50273128
{'hecke_orbit_code': 31527946204218256, 'n': 46, 'trace_an': 0}
-
id: 50273129
{'hecke_orbit_code': 31527946204218256, 'n': 47, 'trace_an': 30}
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