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{'Nk2': 37620, 'analytic_conductor': 75.0993031010142, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, -1], [11, -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': [9405, 1, [1046, 1882, 5986, 496], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 14, 'field_disc': 343408886375762999420813312, 'field_disc_factorization': [[2, 15], [19, 1], [31, 1], [17792882035299822481, 1]], 'field_poly': [1, -25, 142, 142, -567, -240, 766, 193, -467, -80, 137, 15, -19, -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': [[2, [1, 25, 142, -142, -567, 240, 766, -193, -467, 80, 137, -15, -19, 1, 1]], [7, [4, -88, -160, 4244, 9153, -8428, -17617, 2602, 8260, 1228, -974, -272, 18, 12, 1]], [13, [43200, 19008, -337008, -120176, 345564, 151144, -119660, -63816, 13907, 10416, -11, -582, -40, 10, 1]], [17, [-64, 128, 22928, -94384, -16236, 322336, -142268, -103352, 41837, 13598, -2935, -942, 6, 16, 1]]], 'hecke_orbit': 43, 'hecke_orbit_code': 189151184383124669, 'hecke_ring_generator_nbound': 7, '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': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '9405.2.a.bq', 'level': 9405, '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': [3, 5, 11, 19], 'level_radical': 3135, 'minimal_twist': '9405.2.a.bq', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+q^{5}+(-1-\\beta _{6}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 14, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9405.2.a', 'trace_display': [-1, 0, 14, -12], 'trace_hash': 2198162255385297872, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.948', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '349.718', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '18690.053', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, 'traces': [14, -1, 0, 11, 14, 0, -12, -9, 0, -1, 14, 0, -10, 8, 0, 13, -16, 0, -14, 11, 0, -1, -12, 0, 14, -12, 0, -33, 0, 0, -4, -24, 0, -2, -12, 0, -14, 1, 0, -9, -18, 0, -20, 11, 0, -17, -8, 0, 10, -1, 0, -26, -20, 0, 14, 11, 0, -36, 2, 0, 4, -38, 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-
mf_hecke_nf • Show schema
Hide schema
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2, -1], [-15, -1, -9, 6, 5, 2, 2, -2, -5, 4, 0, -7, 4, -2], [-3, -3, 13, -14, 9, -8, 2, -14, 17, -14, -8, -5, -4, -8], [-10, 16, -1, -5, 5, 3, -4, -1, -1, -4, 1, 10, -4, 2], [-2, -3, 8, 6, -2, 5, -6, 5, 0, -1, 0, 7, -4, 2], [-3, -8, -18, 16, -8, 5, 15, 1, -14, 17, 1, -3, -7, 2], [6, 0, -6, 9, 1, -2, -9, 7, -11, -6, 1, 1, 7, 6], [-12, -1, 7, -11, 1, 1, 10, -5, 17, 4, -2, 0, -2, -1], [-20, 2, 18, -10, 9, -9, -9, -11, 7, -11, -2, 11, -3, 3], [-2, 0, -27, 16, -18, 8, 6, 10, -14, 20, 0, -7, 3, 3], [4, -1, 2, 3, 5, -14, -18, 1, -8, -10, -5, -3, 14, 4], [-8, 3, -22, 10, -8, 3, 2, 2, -13, 12, 10, 0, 0, 2], [-1, -3, 9, -12, 2, 4, 3, -1, 11, -3, -3, 2, 1, -2], [-5, -5, 4, -12, 8, -9, -3, -4, -1, -6, -6, 4, 2, -2], [4, 2, 18, -15, 11, -10, 4, -4, 9, -17, -6, 4, 5, -2], [-7, -14, 10, -18, 2, -7, -7, -1, 2, -9, -1, -9, 4, -5], [-10, 18, 0, 6, -6, 3, -2, 11, -4, 11, 1, -1, 2, 3], [-1, -7, -7, -1, 4, 2, 10, -9, 13, -4, 4, 4, -12, -5], [25, 12, 10, 1, 5, 5, -19, 1, 1, -6, 3, 5, 6, 2], [-16, 15, -1, -1, 3, -1, 4, -7, 5, 2, 2, -4, -12, 3], [16, -4, 3, 0, -8, -1, -4, 6, -11, 6, -3, -9, 14, -1], [11, 5, -4, -8, 2, 7, 2, -7, 7, 1, -1, 9, -10, 0], [-19, -11, 14, -12, 5, -6, 4, -9, 14, -7, 0, -9, -2, -6], [12, -3, -28, 17, -13, 7, -2, 13, -19, 18, -2, -5, 5, 0], [23, -5, -1, 0, -5, 2, 12, 1, 8, -7, 2, -4, -4, 0], [8, 15, 9, 0, 0, 9, 5, -2, -2, 8, 1, 13, 5, 7], [3, -11, 19, -10, 14, -7, -11, -9, 8, -15, 2, 8, 6, 6], [-8, 2, 6, -1, -1, -3, 6, 2, 4, 1, -5, -2, 2, -6], [-36, -10, 0, -9, 9, -13, 4, -8, 12, -7, -3, -8, 0, -8], [-15, 1, -7, 4, 1, 2, 3, 6, -16, 4, 3, 3, -8, -2], [-14, 7, 2, 4, -5, 5, 9, 3, 7, 5, -3, 1, 1, 2], [-3, 5, -5, -2, 4, -3, 1, 9, -4, -1, 4, 2, 8, -2], [15, 0, 9, -1, -1, 8, 3, 1, -2, 8, 0, 10, 0, -1], [-13, 10, -14, 18, -8, 3, -1, 7, -18, 15, -1, 1, 1, 8], [1, 0, -15, 5, -3, -2, -7, -1, -10, 6, 8, -6, -2, 1], [-11, 11, -4, 8, 1, 1, 2, -2, -8, 4, 1, -2, 5, 2], [4, 3, 4, 12, -2, 1, -2, 1, 0, 1, 0, -1, 8, 0], [3, 8, -19, 18, -2, 6, 8, 10, 1, 14, 7, -1, -5, 1], [4, -7, 19, -15, 8, -6, -1, -14, 18, -13, -2, 9, 1, -2], [-14, -5, -21, 15, -14, 13, 9, 15, -14, 20, 5, -8, -8, 0], [-3, 6, -5, -1, -7, -2, 3, 3, -4, 2, -2, -2, -1, -2], [-7, -12, 11, -20, 7, -11, -10, 1, 1, -15, -8, -10, 11, -5], [8, -3, -11, 12, -3, 1, -5, 8, -10, 12, 11, -5, 0, 3], [-6, 15, 9, -8, 0, 7, 10, -3, 14, 3, 2, 6, -4, 0], [-25, 0, -6, -7, 0, -3, -4, -4, 1, 7, 6, -2, -2, -3], [-4, 3, -9, 4, -5, 3, 3, -2, -2, 8, 7, 5, -15, -2], [-11, -10, 21, -11, 7, -5, -11, -5, 3, -12, -11, 6, 1, -1], [15, 9, -3, 5, 0, 12, 4, 3, -5, 16, 4, 8, -9, 2], [-5, -9, 12, -9, 4, -5, -3, -4, 6, -11, -2, -2, -7, -3], [-1, 4, -4, -5, -6, 5, 3, 1, 5, 4, 3, 5, -6, -3], [-2, -22, 12, -5, 5, -8, -4, 0, 5, -11, -8, 2, 7, -4], [7, 2, 15, -6, 8, -8, -16, -6, 7, -12, -11, -1, -3, -1], [-14, -5, 8, -14, -2, 0, 0, 1, 7, -9, -1, 1, 2, 3], [-9, 0, -12, 6, -8, -1, -1, 3, -8, 11, 7, -5, -8, -1], [20, -19, -3, -2, -3, 2, 5, 0, -1, -2, 4, -3, -8, 0], [8, 1, -29, 10, -10, 6, 14, 4, -10, 18, 3, -5, -1, -4], [6, 9, 25, -23, 17, -10, 10, -13, 24, -22, -3, 0, -4, -4], [-8, 9, 11, 0, -1, -8, -11, 1, 2, -3, 10, 6, 0, 8], [19, -10, -9, -4, -5, 3, 20, -4, 4, 12, 4, 1, -2, -4], [-14, 8, -1, -8, 9, -8, -17, 1, 0, -5, 1, -6, 8, -3], [-14, 2, -13, 2, -5, -3, 1, 0, -10, 6, 4, -7, 1, -7], [-19, 6, 2, -12, 12, -3, -5, -3, 2, -7, -5, 1, 11, 2], [18, 19, -17, 13, -4, 11, 3, 7, -2, 10, 3, 0, -6, 0], [-23, 6, 10, -8, 6, -6, -11, 1, 3, -7, -2, 7, 4, -2], [5, -2, 2, 4, -3, 6, 2, -4, -17, 2, -7, 8, 0, 5], [18, -12, -22, 22, -18, 14, 8, 14, -28, 24, 8, 0, 2, 10], [1, -1, -14, 5, -3, -1, -3, 6, -2, 7, 10, -2, 1, 6], [-3, -6, -6, 6, -9, -3, 1, -5, -10, 3, -1, -9, -1, -3], [13, 21, -7, 10, -4, 10, 1, 9, -7, 9, 7, 8, -1, 6], [4, 10, -18, 16, -12, 6, 0, 1, -15, 9, 4, 3, 3, 7], [-1, 23, -7, 17, 3, 5, -1, 0, -6, 13, 4, 1, -9, 6], [11, -16, -9, 10, -7, -5, 2, 12, -12, 2, -4, -15, 2, 4], [16, 7, 10, -11, 8, -10, -7, -8, 16, -13, 0, 4, 10, 3], [-19, 1, 2, -4, -1, -7, 0, -4, 4, 2, -3, -2, -1, -4], [-17, -8, 12, -8, 5, -9, -14, 0, -8, -8, -2, -6, 1, -3], [6, 16, -12, 10, -14, 2, 6, 8, -4, 14, 2, -4, 0, 0], [20, 7, -10, 7, -11, 5, -2, 7, -9, 10, -2, -5, 13, 6], [14, 3, 11, -10, 3, 3, -4, 1, 12, -7, 0, 2, -9, -6], [8, 6, -20, 7, -11, 8, 5, 7, -9, 10, 1, -11, 11, -2], [8, -14, -15, 18, -11, 6, 12, 7, -5, 17, 0, -6, -4, 5], [-16, 2, -8, -4, -8, -2, 8, -4, 0, 2, -10, -6, 8, 0], [1, 8, -5, 6, -4, 8, -1, 6, -16, 12, 0, 1, 8, 0], [-2, -1, -23, 8, -16, 0, 8, 7, -15, 13, 1, -6, 1, 6], [-16, -3, 12, -18, 10, -3, -8, -9, 12, -3, 2, 5, -6, -8], [-15, -5, -12, 9, 1, 3, -8, 2, -13, 3, -5, -10, -2, 5], [-8, 8, 9, -10, 1, -3, -5, -10, 8, -4, 2, 1, -1, -5], [-1, -4, -9, 11, -6, -2, 4, 4, -8, 9, 5, -3, -2, 6], [6, 18, -5, 3, 4, -1, 7, -1, 6, -2, -2, -4, 1, 2], [-8, -13, -14, 1, -9, 7, -2, 7, -1, 6, 4, -5, -4, -5], [12, -3, -21, 19, -15, 12, -2, 13, -22, 24, 3, -8, 3, -1], [-16, 1, 9, -13, -2, -7, 9, -9, 14, -6, -1, -2, -4, -6], [-7, -8, 1, 9, 0, 6, 2, 8, -2, 13, 5, 5, -12, -2], [12, 7, 10, -4, 7, -13, -17, -2, -6, -4, -1, 0, 0, 3], [14, 2, 0, 10, 0, 4, -12, 14, -14, 10, 4, 4, 12, 4], [-6, 8, 12, -2, 0, -4, -16, 0, -10, -8, -8, 2, 8, 4], [-27, 2, 17, -22, 10, -5, 7, -11, 22, -17, -11, 0, 0, -5], [3, 14, -13, 2, 6, 0, 5, 3, -5, -1, 2, -2, -4, 0], [-17, -2, -13, 12, -2, -2, -5, 6, -18, 14, -2, 5, 0, 2], [-3, -10, 2, -3, -1, -7, -4, 4, -9, -1, -2, -8, 10, -4], [6, -11, 3, -7, 4, -3, 11, -6, 11, -5, 1, -1, -11, -5], [-6, -4, 1, -5, 7, -1, 6, -10, 6, -7, -1, -3, -5, -3], [13, -9, -2, -1, -3, 1, 11, 2, 12, -3, 2, -10, 7, -8], [1, 11, -2, 0, -2, 5, -1, 0, 9, 8, 8, -6, -3, -1], [9, 12, -3, -2, -3, 6, -10, 4, -3, 6, 11, 1, -7, 2], [21, 0, 27, -17, 6, -3, -6, -7, 6, -10, -2, 8, 8, 7], [-8, -2, 20, -8, 6, -4, -24, 2, 6, -16, 2, 0, 4, 2], [6, 11, -31, 11, -11, 3, 0, -1, -9, 12, 2, -8, -4, 1], [-4, -27, -30, 19, -16, 5, 1, 14, -19, 23, 13, -4, -5, 1], [9, -12, 11, -12, 4, -11, -9, 5, 14, -9, 5, -8, 8, -5], [6, -7, 11, -13, 3, 5, 10, -5, 11, -8, -4, 2, 0, -1], [10, -11, 9, -7, 4, -7, 9, -8, 19, -7, -9, -15, 5, -5], [22, -17, -28, 23, -15, 8, -4, 15, -26, 22, 7, -5, 4, 4], [21, 2, 21, -15, 16, -9, -16, 1, 4, -16, -4, 14, 6, 13], [-30, -14, -5, 8, -7, 1, 5, 2, -2, 10, 0, 3, -9, -7], [-19, -10, 21, -11, 8, -14, -8, -4, 8, -19, -11, -3, 12, 4], [-11, 7, -29, 18, -11, 1, -2, 15, -19, 19, 1, -10, 3, 0], [13, -15, -3, -4, -7, 5, 1, 3, -2, 9, 8, 6, -6, 3], [16, 6, -3, -3, -8, 10, 15, -1, -1, 2, -5, 2, -10, -6], [-2, 6, 4, -5, 9, -10, -6, 2, 7, -5, -4, 4, 1, 0], [6, -4, -2, 13, -9, 2, 3, 11, -1, 4, 7, -1, -7, 6], [1, 0, 5, -2, -2, 4, 12, -12, 15, 2, 1, -1, -11, -1], [-8, -4, -2, 10, -4, 2, 6, -3, 1, 9, 4, 1, -3, 7], [-6, -9, 1, -2, 3, -11, 0, -13, 2, -13, -6, -14, 9, 2], [10, 9, 5, 1, 0, -13, -7, -5, -4, -6, -5, 0, 11, -1], [6, -3, -10, 12, -11, 1, 4, 13, -12, 11, 4, -3, -2, -1], [10, 9, 17, -9, 9, -3, -18, -7, -5, -14, -10, 6, 4, 1], [-11, 7, -11, 4, -3, 6, -15, 2, -10, -6, 1, 5, -4, 2], [12, -8, 29, -15, 10, -7, -15, -17, 6, -14, -2, 16, 1, 2], [-7, 8, -8, 8, -3, 0, 4, 6, -7, 8, 11, 4, 2, -1], [-5, 3, 20, -12, 2, -5, 0, -9, 11, -7, -1, -7, -4, -4], [-27, 6, 25, -19, 25, -6, 1, -19, 30, -24, -4, 10, -7, -8], [-17, 3, -2, -7, 3, -11, -19, 10, -8, -7, -4, -16, 17, -4]], 'char_orbit_index': 1, 'field_poly': [1, -25, 142, 142, -567, -240, 766, 193, -467, -80, 137, 15, -19, -1, 1], 'hecke_orbit_code': 189151184383124669, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569], 'hecke_ring_inverse_denominators': [1, 1, 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, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 5, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [15, 1, 7, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0], [11, 29, 2, 8, 0, 0, -2, 1, 0, -1, 0, 1, 1, 1], [86, 10, 48, 0, 1, -3, -4, 1, -1, -2, -1, 10, -7, 1], [91, 178, 26, 56, 0, -1, -27, 14, -1, -11, 1, 14, 12, 12], [525, 81, 329, 4, 13, -39, -58, 17, -16, -28, -14, 82, -38, 15], [688, 1124, 253, 380, 5, -20, -264, 137, -15, -97, 13, 140, 106, 108], [3324, 621, 2265, 67, 124, -366, -597, 192, -167, -280, -135, 632, -180, 155], [5020, 7226, 2204, 2553, 96, -256, -2283, 1169, -161, -802, 110, 1221, 843, 874], [21582, 4689, 15670, 757, 1060, -3035, -5351, 1830, -1468, -2448, -1118, 4736, -709, 1381], [36083, 47074, 18115, 17110, 1186, -2678, -18551, 9331, -1521, -6422, 756, 9916, 6396, 6711]], 'hecke_ring_numerators': [[1, 0, 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], [-3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, -5, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2295, -14395, -19347, 56138, 25300, -77197, -13260, 46919, 4271, -13308, -735, 1753, 48, -87], [2229, -23747, 272, 113948, -28564, -170354, 27141, 111088, -6073, -33204, 201, 4558, 31, -234], [5737, -57051, -76518, 208675, 164555, -265500, -136958, 154635, 51593, -44749, -8736, 6253, 538, -335], [-533, 32051, -51152, -173731, 143439, 299259, -114577, -214857, 30523, 67442, -2890, -9496, 61, 494], [-3281, 34088, 2269, -180017, 25177, 304017, -19419, -217238, -2536, 69009, 2252, -9920, -233, 529], [-7043, 66041, 47987, -296002, -91961, 442812, 87667, -291107, -43059, 89438, 8946, -12769, -633, 685], [3067, -50531, -6660, 254334, 599, -424595, -13611, 301535, 19327, -96018, -5683, 13894, 471, -747], [12592, -128747, -83587, 485923, 147381, -643200, -124027, 388805, 54428, -113373, -10619, 15632, 726, -818], [9178, -128178, -79604, 485923, 146812, -643200, -124027, 388805, 54428, -113373, -10619, 15632, 726, -818], [-15099, 183072, 108156, -681319, -200483, 899522, 176382, -544590, -79252, 159244, 15602, -22031, -1070, 1157]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 14, 'label': '9405.2.a.bq', 'level': 9405, 'maxp': 2999, 'weight': 2}
-
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{'ALdims': [15, 19, 15, 11, 15, 11, 15, 19, 23, 21, 23, 25, 22, 24, 22, 20], 'Nk2': 37620, 'analytic_conductor': 75.0993031010142, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [9405, 1, [1046, 1882, 5986, 496], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1425, 'dim': 300, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 13, 17], 'hecke_orbit_code': 33563837, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 12, 14, 14, 15, 15, 19, 19], 'label': '9405.2.a', 'level': 9405, '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': [3, 5, 11, 19], 'level_radical': 3135, 'mf_dim': 1456, 'mf_new_dim': 300, 'num_forms': 48, 'plus_dim': 138, 'prim_orbit_index': 1, 'relative_dim': 300, 'sturm_bound': 2880, 'trace_bound': 11, 'trace_display': [0, 0, -4, 0], 'traces': [300, 0, 0, 300, -4, 0, 0, -24, 0, 0, 0, 0, 0, -40, 0, 308, 0, 0, 0, -4, 0, 0, -24, 0, 300, -16, 0, 0, -16, 0, 8, -88, 0, 8, 8, 0, 0, -12, 0, 0, 8, 0, -24, 8, 0, -8, -48, 0, 340, 0, 0, 72, 16, 0, 8, -80, 0, 48, 8, 0, 40, 16, 0, 412, 8, 0, -24, -16, 0, 32, 40, 0, -16, 16, 0, 0, -8, 0, -8, -12, 0, 112, -40, 0, 8, 0, 0, 0, -40, 0, 16, 48, 0, 152, 0, 0, -40, 104, 0, 300, -120, 0, -24, 72, 0, 56, 64, 0, -8, 0, 0, 192, -48, 0, 24, 8, 0, 168, 0, 0, 300, 104, 0, 120, -4, 0, -16, -120, 0, 16, 56, 0, 8, 120, 0, 104, -64, 0, 8, 32, 0, -72, 0, 0, 8, 24, 0, 96, -8, 0, 8, -12, 0, 8, 48, 0, -24, 72, 0, 0, -40, 0, 48, -96, 0, -160, -152, 0, 220, 8, 0, -112, -136, 0, 0, 16, 0, -136, 88, 0, 48, 64, 0, 152, 8, 0, 8, 48, 0, 4, -8, 0, -112, 48, 0, 444, -168, 0, 16, -24, 0, 16, 0, 0, 72, 56, 0, -48, 0, 0, 72, 240, 0, -192, 48, 0, -120, -192, 0, 16, 8, 0, 160, -104, 0, 8, -64, 0, 8, 8, 0, -40, -8, 0, -16, 96, 0, 48, -8, 0, 72, 0, 0, 48, -4, 0, 16, 248, 0, 0, 216, 0, 8, -48, 0, 340, 16, 0, 8, -88, 0, 56, 48, 0, 8, 0, 0, -240, -88, 0, 88, 40, 0, -112, 0, 0, -104, 32, 0, 96, -96, 0, -64, -56, 0, -56, 72, 0, 172, -88, 0, -24, 16, 0, 0, -128, 0, -296, -80, 0, 144, -160, 0, 0, -72, 0, 128, -16, 0, -32, -16, 0, 0, 144, 0, 48, -88, 0, 8, 28, 0, -352, -32, 0, 0, 96, 0, 176, 64, 0, -120, -72, 0, -176, 40, 0, -112, 48, 0, -80, 32, 0, 48, -120, 0, -192, 48, 0, 80, -40, 0, 0, 176, 0, -16, 224, 0, -136, -24, 0, 300, -16, 0, 0, -16, 0, 80, 216, 0, -64, 88, 0, -192, 24, 0, -64, -8, 0, -24, 0, 0, 80, 16, 0, 8, -200, 0, -184, -168, 0, 72, 360, 0, 40, 32, 0, -40, 552, 0, 308, 64, 0, 312, -192, 0, -96, 16, 0, -40, 32, 0, -40, -104, 0, 16, 432, 0, 8, -8, 0, -8, 56, 0, -160, 0, 0, 312, 504, 0, -16, 88, 0, -128, -184, 0, -128, 16, 0, 240, 0, 0, -56, 72, 0, 56, 312, 0, 600, -120, 0, -8, -168, 0, -176, 32, 0, -88, -160, 0, 120, 88, 0, 96, -72, 0, 32, 40, 0, 40, -8, 0, 264, -64, 0, 0, 72, 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0, -424, -88, 0, 0, 360, 0, -536, 160, 0, -32, 0, 0, -288, -16, 0, -160, 352, 0, -40, 144, 0, -72, -160, 0, 160, 16, 0, -48, 120, 0, -32, -32, 0, 248, 456, 0, 8, 208, 0, -16, 200, 0, -352, -16, 0, 64, 320, 0, 12, -440, 0, 72, 408, 0, 240, 40, 0, 184, 8, 0, -64, 80, 0, 8, 392, 0, -104, 32, 0, -32, 248, 0, 420, 64, 0, 176, -80, 0, 80, -344, 0, -208, 208, 0, -24, 264, 0, -312, -88, 0, -576, -24, 0, 128, 40, 0, 248, -232, 0, -264, 80, 0, 112, -40, 0, 72, -152, 0, 216, 184, 0, 32, 400, 0, 56, -72, 0, 384, -80, 0, 168, -304, 0, -88, 0, 0, 184, 88, 0, 252, 64, 0, -152, -76, 0, 0, 848, 0, 8, -272, 0, 248, 176, 0, -448, -80, 0, -128, 24, 0, 504, -56, 0, -136, 672, 0, -576, 112, 0, 192, -72, 0, -16, 8, 0, -24, -368, 0, 40, -256, 0, 104, 168, 0, 408, 72, 0, 136, 272, 0, 200, 32, 0, -32, -160, 0, -8, -64, 0, -232, -40, 0, -32, 104, 0, 32, 296, 0, -64, -96, 0, 40, -104, 0, -432, 64, 0, -48, -104, 0, -16, 344, 0, 0, -112, 0, -88, 8, 0, -32, -432, 0, 144, -56, 0, 104, 368, 0, 16, 56, 0, -64, 120, 0, 24, -168, 0, 368, -12, 0, 448, -192, 0, -16, -280, 0, 256, -304, 0, 132, 112, 0, 424, 24, 0, 448, -24, 0, -128, -352, 0, 24, -232, 0, 72, -16, 0, 16, 108, 0, 488, 152, 0, -136, -16, 0, 16, 80, 0, 104, 632, 0, 168, 48, 0, 240, 320, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1429911
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 14, 'source_hecke_orbit': 43, 'source_is_minimal': True, 'source_label': '9405.2.a.bq', 'source_level': 9405, 'target_char_orbit': 1, 'target_dim': 14, 'target_hecke_orbit': 43, 'target_is_minimal': True, 'target_label': '9405.2.a.bq', 'target_level': 9405, 'twist_class_label': '9405.2.a.bq', 'twist_class_level': 9405, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1429912
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 14, 'source_hecke_orbit': 43, 'source_is_minimal': True, 'source_label': '9405.2.a.bq', 'source_level': 9405, 'target_char_orbit': 1, 'target_dim': 14, 'target_hecke_orbit': 44, 'target_is_minimal': True, 'target_label': '9405.2.a.br', 'target_level': 9405, 'twist_class_label': '9405.2.a.bq', 'twist_class_level': 9405, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5019650
{'charpoly_factorization': [[[1, 25, 142, -142, -567, 240, 766, -193, -467, 80, 137, -15, -19, 1, 1], 1]], 'hecke_orbit_code': 189151184383124669, 'p': 2}
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id: 5019651
{'charpoly_factorization': [[[0, 1], 14]], 'hecke_orbit_code': 189151184383124669, 'p': 3}
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id: 5019652
{'charpoly_factorization': [[[-1, 1], 14]], 'hecke_orbit_code': 189151184383124669, 'p': 5}
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id: 5019653
{'charpoly_factorization': [[[4, -88, -160, 4244, 9153, -8428, -17617, 2602, 8260, 1228, -974, -272, 18, 12, 1], 1]], 'hecke_orbit_code': 189151184383124669, 'p': 7}
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id: 5019654
{'charpoly_factorization': [[[-1, 1], 14]], 'hecke_orbit_code': 189151184383124669, 'p': 11}
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id: 5019655
{'charpoly_factorization': [[[43200, 19008, -337008, -120176, 345564, 151144, -119660, -63816, 13907, 10416, -11, -582, -40, 10, 1], 1]], 'hecke_orbit_code': 189151184383124669, 'p': 13}
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id: 5019656
{'charpoly_factorization': [[[-64, 128, 22928, -94384, -16236, 322336, -142268, -103352, 41837, 13598, -2935, -942, 6, 16, 1], 1]], 'hecke_orbit_code': 189151184383124669, 'p': 17}
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id: 5019657
{'charpoly_factorization': [[[1, 1], 14]], 'hecke_orbit_code': 189151184383124669, 'p': 19}
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id: 5019658
{'charpoly_factorization': [[[-59743520, -36715584, 214549000, -79670848, -38065783, 17402004, 2926664, -1478420, -136176, 63084, 4508, -1364, -99, 12, 1], 1]], 'hecke_orbit_code': 189151184383124669, 'p': 23}
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id: 5019659
{'charpoly_factorization': [[[-53623040, 83934208, 179865344, -88916992, -91301920, 13509120, 13071312, -692896, -744917, 15236, 19420, -122, -231, 0, 1], 1]], 'hecke_orbit_code': 189151184383124669, 'p': 29}
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id: 5019660
{'charpoly_factorization': [[[-10548992, -23745280, 50763712, -6186624, -22505120, 6972368, 2999724, -996992, -227065, 52808, 10379, -874, -182, 4, 1], 1]], 'hecke_orbit_code': 189151184383124669, 'p': 31}
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id: 5019661
{'charpoly_factorization': [[[-6135952, 70632480, 39099760, -117793600, -8881617, 35070324, 1376453, -3688532, -165682, 150704, 8130, -2492, -158, 14, 1], 1]], 'hecke_orbit_code': 189151184383124669, 'p': 37}
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id: 5019662
{'charpoly_factorization': [[[-1718932736, -1091554560, 4540900544, -1854463168, -320909376, 227058416, 6757036, -11240884, -100013, 288106, 5667, -3728, -147, 18, 1], 1]], 'hecke_orbit_code': 189151184383124669, 'p': 41}
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id: 5019663
{'charpoly_factorization': [[[41586548404, -11138316952, -25475578964, -518651076, 4186440745, 664604612, -157495234, -35374208, 1876574, 711232, 4180, -6250, -213, 20, 1], 1]], 'hecke_orbit_code': 189151184383124669, 'p': 43}
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id: 5019664
{'charpoly_factorization': [[[-530047375360, 144102076416, 146839536128, -31971557888, -13188427456, 2075729024, 502558368, -54750448, -9756660, 669784, 99837, -3788, -507, 8, 1], 1]], 'hecke_orbit_code': 189151184383124669, 'p': 47}
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id: 5019665
{'charpoly_factorization': [[[1858899968, -9134942208, -7278655488, 3112659584, 2740319472, 157681344, -177893264, -28053520, 2639663, 715944, 1379, -6548, -227, 20, 1], 1]], 'hecke_orbit_code': 189151184383124669, 'p': 53}
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id: 5019666
{'charpoly_factorization': [[[-3546831824, -24322968192, 12392496488, 5048457152, -2508982985, -335991356, 164930624, 9606458, -4666928, -129884, 63638, 824, -411, -2, 1], 1]], 'hecke_orbit_code': 189151184383124669, 'p': 59}
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id: 5019667
{'charpoly_factorization': [[[-88156908800, -5962917888, 49105736128, 3610663232, -6363361440, -341440480, 322734012, 12377492, -7596939, -198780, 88538, 1448, -489, -4, 1], 1]], 'hecke_orbit_code': 189151184383124669, 'p': 61}
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id: 5019668
{'charpoly_factorization': [[[-788916944960, -9649270208, 255022235856, -38364462920, -16609564689, 3171197770, 443390033, -95368514, -6123262, 1315156, 56408, -8670, -354, 22, 1], 1]], 'hecke_orbit_code': 189151184383124669, 'p': 67}
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id: 5019669
{'charpoly_factorization': [[[-3029656592, 3519195296, 12552240664, 1434743648, -4926546333, -948084182, 394964671, 30169940, -10499622, -288648, 116420, 826, -564, 0, 1], 1]], 'hecke_orbit_code': 189151184383124669, 'p': 71}
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id: 5019670
{'charpoly_factorization': [[[127609978880, -530845360128, -758290403328, -88868419584, 54536130752, 8741561632, -1157947468, -230574152, 8611472, 2647180, 4633, -14016, -319, 28, 1], 1]], 'hecke_orbit_code': 189151184383124669, 'p': 73}
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id: 5019671
{'charpoly_factorization': [[[-312081765760, 10174803712, 97714723696, -9183181520, -9589421733, 1155861320, 366199338, -43321042, -7078930, 703128, 75618, -5178, -429, 14, 1], 1]], 'hecke_orbit_code': 189151184383124669, 'p': 79}
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id: 5019672
{'charpoly_factorization': [[[3359191332544, 2099868243712, -41575865072, -198877997200, -12809251372, 7296164808, 633155744, -133245368, -12594787, 1271060, 123386, -5902, -579, 10, 1], 1]], 'hecke_orbit_code': 189151184383124669, 'p': 83}
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id: 5019673
{'charpoly_factorization': [[[7243418736, 23056795872, 12248488248, -11850545528, -3760047473, 3674552588, -698281551, -15846098, 18472630, -1598394, -57530, 12978, -274, -26, 1], 1]], 'hecke_orbit_code': 189151184383124669, 'p': 89}
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id: 5019674
{'charpoly_factorization': [[[248856764272, 128026789696, -129402579456, -20300791416, 14708271879, 1580462568, -674735552, -70870730, 13280690, 1629862, -83018, -15260, -203, 32, 1], 1]], 'hecke_orbit_code': 189151184383124669, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 43, 'label': '9405.2.a.bq', 'level': 9405, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 70900183
{'hecke_orbit_code': 189151184383124669, 'n': 1, 'trace_an': 14}
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id: 70900184
{'hecke_orbit_code': 189151184383124669, 'n': 2, 'trace_an': -1}
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id: 70900185
{'hecke_orbit_code': 189151184383124669, 'n': 3, 'trace_an': 0}
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id: 70900186
{'hecke_orbit_code': 189151184383124669, 'n': 4, 'trace_an': 11}
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id: 70900187
{'hecke_orbit_code': 189151184383124669, 'n': 5, 'trace_an': 14}
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id: 70900188
{'hecke_orbit_code': 189151184383124669, 'n': 6, 'trace_an': 0}
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id: 70900189
{'hecke_orbit_code': 189151184383124669, 'n': 7, 'trace_an': -12}
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id: 70900190
{'hecke_orbit_code': 189151184383124669, 'n': 8, 'trace_an': -9}
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id: 70900191
{'hecke_orbit_code': 189151184383124669, 'n': 9, 'trace_an': 0}
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id: 70900192
{'hecke_orbit_code': 189151184383124669, 'n': 10, 'trace_an': -1}
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id: 70900193
{'hecke_orbit_code': 189151184383124669, 'n': 11, 'trace_an': 14}
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id: 70900194
{'hecke_orbit_code': 189151184383124669, 'n': 12, 'trace_an': 0}
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id: 70900195
{'hecke_orbit_code': 189151184383124669, 'n': 13, 'trace_an': -10}
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id: 70900196
{'hecke_orbit_code': 189151184383124669, 'n': 14, 'trace_an': 8}
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id: 70900197
{'hecke_orbit_code': 189151184383124669, 'n': 15, 'trace_an': 0}
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id: 70900198
{'hecke_orbit_code': 189151184383124669, 'n': 16, 'trace_an': 13}
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id: 70900199
{'hecke_orbit_code': 189151184383124669, 'n': 17, 'trace_an': -16}
-
id: 70900200
{'hecke_orbit_code': 189151184383124669, 'n': 18, 'trace_an': 0}
-
id: 70900201
{'hecke_orbit_code': 189151184383124669, 'n': 19, 'trace_an': -14}
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id: 70900202
{'hecke_orbit_code': 189151184383124669, 'n': 20, 'trace_an': 11}
-
id: 70900203
{'hecke_orbit_code': 189151184383124669, 'n': 21, 'trace_an': 0}
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id: 70900204
{'hecke_orbit_code': 189151184383124669, 'n': 22, 'trace_an': -1}
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id: 70900205
{'hecke_orbit_code': 189151184383124669, 'n': 23, 'trace_an': -12}
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id: 70900206
{'hecke_orbit_code': 189151184383124669, 'n': 24, 'trace_an': 0}
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