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mf_newforms • Show schema
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{'Nk2': 1900, 'analytic_conductor': 3.7928940960108184, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 95, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 6, 'char_parity': 1, 'char_values': [475, 6, [77, 401], [3, 4]], 'cm_discs': [], 'conrey_index': 49, 'conrey_indexes': [49, 349], 'dim': 12, 'field_disc': 50712647503417344, 'field_disc_factorization': [[2, 12], [3, 6], [19, 8]], 'field_poly': [2401, 0, -2450, 0, 1863, 0, -552, 0, 119, 0, -13, 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, [2401, 0, -2450, 0, 1863, 0, -552, 0, 119, 0, -13, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504218136216027, 'hecke_ring_generator_nbound': 3, '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, 5, 2, 1, 2, 0], [1, 1, 19, 3, 1, 3, 0], [1, 1, 95, 9, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '475.2.j.b', 'level': 475, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 19], 'level_radical': 95, 'minimal_twist': '95.2.e.b', 'nf_label': '12.0.50712647503417344.1', 'prim_orbit_index': 9, 'qexp_display': 'q+\\beta _{1}q^{2}-\\beta _{11}q^{3}+(2-\\beta _{2}+3\\beta _{3}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '475.2.j', 'trace_display': [0, 0, 0, 0], 'trace_hash': 515519479452385278, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.038', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.808', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 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, -1], [2, 0, -1, 3, -1, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -2, 3, -2, 1, -2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1], [0, 1, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1], [1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, -1, -2, -1, -1], [0, 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0], [0, 0, 2, -3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 2, 0, 0, -2, 0, 0, 0, 0, 0], [0, -3, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0, -5, 0, -1, -1], [-1, 0, -1, 1, -2, 1, -3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, -4, 0, 0, -1, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, -3, 3, -3, 2, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 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0, 0, 0, 17, 0, 0, 0, 5], [4, 0, -15, 19, -15, 4, -15, 0, 0, 0, 0, 0], [0, -15, 0, 0, 0, 0, 0, 0, -13, 15, 1, 1], [0, 12, 0, 0, 0, 0, 0, 33, 0, 0, 0, 13], [4, 0, 0, 0, 10, 6, -6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 13, -13, -17, 7, 0], [0, 0, 0, 0, 0, 0, 0, -14, 14, 7, 3, 0], [0, -8, 0, 0, 0, 0, 0, 14, 0, 0, 0, -4], [-11, 0, 0, 0, -6, 6, -6, 0, 0, 0, 0, 0], [1, 0, 0, 0, 17, 6, -6, 0, 0, 0, 0, 0], [0, 0, -13, 17, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -2, 2, -13, 1, 0], [-2, 0, 8, -10, 8, 6, 8, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, -22, 0, 0, 0, -1], [0, 6, 0, 0, 0, 0, 0, 24, 0, 0, 0, 17], [0, 0, 0, 0, 0, 0, 0, 50, 0, 0, 0, 4], [0, 0, 5, 12, 0, 0, 1, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0, 11, -9, 6, 6], [0, -9, 0, 0, 0, 0, 0, -13, 0, 0, 0, -1], [0, 0, 6, 6, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, -7, 6, -10, 0]], 'char_orbit_index': 10, 'field_poly': [2401, 0, -2450, 0, 1863, 0, -552, 0, 119, 0, -13, 0, 1], 'hecke_orbit_code': 4504218136216027, 'hecke_ring_character_values': [[77, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [401, [-1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1328929, 1328929, 189847, 189847, 5131, 189847, 251419, 1328929, 9302503, 189847], '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], [4, 0, -1, 5, -1, 0, -1, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 2, -5, -1, -1], [0, 0, -7, 28, 0, 0, -8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -19, 19, -29, -6, 0], [-122, 0, 0, 0, 41, 13, -13, 0, 0, 0, 0, 0], [0, -176, 0, 0, 0, 0, 0, -147, 0, 0, 0, 28], [-732, 0, 232, -964, 232, 119, 232, 0, 0, 0, 0, 0], [0, -1083, 0, 0, 0, 0, 0, 0, -1059, 1083, 113, 113], [0, 0, 1309, -5754, 0, 0, 2255, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7348, -7348, 6700, 363, 0]], '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], [-5987800, 0, 4553172, 0, -1755683, 0, 290836, 0, -31772, 0, 736, 0], [-1859550, 0, 1414017, 0, -370073, 0, 90321, 0, -9867, 0, 850, 0], [467838, 0, 31850, 0, -24219, 0, 14161, 0, -1547, 0, 169, 0], [124852, 0, 37412, 0, 87076, 0, -21252, 0, 3917, 0, -200, 0], [-4900, 0, 3726, 0, 289, 0, 238, 0, -26, 0, 9, 0], [0, -164812, 0, 9800, 0, -7452, 0, 2271, 0, -476, 0, 52], [0, 62426, 0, -200461, 0, 43538, 0, -10626, 0, 859, 0, -100], [0, 1859550, 0, -1414017, 0, 370073, 0, -90321, 0, 9867, 0, -850], [0, -30027200, 0, 22832928, 0, -7813716, 0, 1458464, 0, -159328, 0, 8973], [0, 328061, 0, 51450, 0, -39123, 0, 18703, 0, -2499, 0, 273]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '475.2.j.b', 'level': 475, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1900, 'analytic_conductor': 3.7928940960108184, 'char_conductor': 95, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 6, 'char_parity': 1, 'char_values': [475, 6, [77, 401], [3, 4]], 'conrey_index': 49, 'cusp_dim': 88, 'dim': 56, 'eis_dim': 24, 'eis_new_dim': 8, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 618508845531, 'hecke_orbit_dims': [4, 12, 16, 24], 'label': '475.2.j', 'level': 475, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 19], 'level_radical': 95, 'mf_dim': 112, 'mf_new_dim': 64, 'num_forms': 4, 'prim_orbit_index': 9, 'relative_dim': 28, 'sturm_bound': 100, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [56, 0, 0, 24, 0, 10, 0, 0, 26, 0, -20, 0, 0, 0, 0, -16, 0, 0, 16, 0, 10, 0, 0, 26, 0, 68, 0, 0, -6, 0, -44, 0, 0, -22, 0, -14, 0, 0, -56, 0, 10, 0, 0, -30, 0, -96, 0, 0, 16, 0, 26, 0, 0, -12, 0, -88, 0, 0, -20, 0, -42, 0, 0, -72, 0, -64, 0, 0, 4, 0, -12, 0, 0, 24, 0, 140, 0, 0, 2, 0, 36, 0, 0, 108, 0, 30, 0, 0, -12, 0, 46, 0, 0, 8, 0, 100, 0, 0, 16, 0, 60, 0, 0, 42, 0, -248, 0, 0, -12, 0, -4, 0, 0, -206, 0, 146, 0, 0, -30, 0, 92, 0, 0, 50, 0, 4, 0, 0, 0, 0, -58, 0, 0, -40, 0, -30, 0, 0, -38, 0, -260, 0, 0, 180, 0, 74, 0, 0, -4, 0, -96, 0, 0, -14, 0, -188, 0, 0, -60, 0, -40, 0, 0, -60, 0, -58, 0, 0, 58, 0, 202, 0, 0, 66, 0, 26, 0, 0, 64, 0, 22, 0, 0, -32, 0, 94, 0, 0, -112, 0, -84, 0, 0, 70, 0, 136, 0, 0, 80, 0, 56, 0, 0, 86, 0, 60, 0, 0, 42, 0, 62, 0, 0, -74, 0, 232, 0, 0, -82, 0, -128, 0, 0, -160, 0, -86, 0, 0, 64, 0, -12, 0, 0, 12, 0, -96, 0, 0, 24, 0, 38, 0, 0, -6, 0, -48, 0, 0, -56, 0, 30, 0, 0, -212, 0, -72, 0, 0, 392, 0, -158, 0, 0, 96, 0, 196, 0, 0, -46, 0, 138, 0, 0, -128, 0, -146, 0, 0, -106, 0, 68, 0, 0, 520, 0, -60, 0, 0, 10, 0, 198, 0, 0, -128, 0, 32, 0, 0, -54, 0, 26, 0, 0, -284, 0, 258, 0, 0, -48, 0, 160, 0, 0, 94, 0, -60, 0, 0, 12, 0, -124, 0, 0, 120, 0, -188, 0, 0, 48, 0, 40, 0, 0, 60, 0, 274, 0, 0, 112, 0, -232, 0, 0, -170, 0, -188, 0, 0, 120, 0, -170, 0, 0, 28, 0, -112, 0, 0, -122, 0, -40, 0, 0, -54, 0, -16, 0, 0, -40, 0, -156, 0, 0, -96, 0, 88, 0, 0, -8, 0, -32, 0, 0, 226, 0, 56, 0, 0, 82, 0, 172, 0, 0, 214, 0, 96, 0, 0, 140, 0, 52, 0, 0, -12, 0, 412, 0, 0, -72, 0, -316, 0, 0, 206, 0, -46, 0, 0, 136, 0, 156, 0, 0, -268, 0, -316, 0, 0, -396, 0, 254, 0, 0, -222, 0, -48, 0, 0, 160, 0, -48, 0, 0, -472, 0, 286, 0, 0, -208, 0, -42, 0, 0, 28, 0, -136, 0, 0, -74, 0, 2, 0, 0, 668, 0, -244, 0, 0, -104, 0, -178, 0, 0, -216, 0, -156, 0, 0, -204, 0, 88, 0, 0, -154, 0, 104, 0, 0, 98, 0, 244, 0, 0, 94, 0, -182, 0, 0, -28, 0, 68, 0, 0, 254, 0, -116, 0, 0, -216, 0, 14, 0, 0, -380, 0, -100, 0, 0, -194, 0, -496, 0, 0, -268, 0, 12, 0, 0, -80, 0, 140, 0, 0, -186, 0, -220, 0, 0, 504, 0, -230, 0, 0, -60, 0, -404, 0, 0, 56, 0, 94, 0, 0, 244, 0, 58, 0, 0, -12, 0, 242, 0, 0, 106, 0, 78, 0, 0, -96, 0, 48, 0, 0, 98, 0, 138, 0, 0, 156, 0, -4, 0, 0, -58, 0, 118, 0, 0, -66, 0, 208, 0, 0, 254, 0, -56, 0, 0, -58, 0, 64, 0, 0, 168, 0, 256, 0, 0, 52, 0, 46, 0, 0, 148, 0, -396, 0, 0, 212, 0, 36, 0, 0, -84, 0, -568, 0, 0, 64, 0, -178, 0, 0, -320, 0, 254, 0, 0, 44, 0, -118, 0, 0, -12, 0, 454, 0, 0, 14, 0, 30, 0, 0, 332, 0, 270, 0, 0, -288, 0, 154, 0, 0, 68, 0, -312, 0, 0, 114, 0, 38, 0, 0, -60, 0, 436, 0, 0, -74, 0, -78, 0, 0, 60, 0, 32, 0, 0, -322, 0, 28, 0, 0, 46, 0, -108, 0, 0, 64, 0, 10, 0, 0, -4, 0, 84, 0, 0, -88, 0, 32, 0, 0, 28, 0, -192, 0, 0, -84, 0, 312, 0, 0, -154, 0, 308, 0, 0, 236, 0, 92, 0, 0, 396, 0, 104, 0, 0, 184, 0, -200, 0, 0, 162, 0, 146, 0, 0, 164, 0, 16, 0, 0, 392, 0, -100, 0, 0, -128, 0, 120, 0, 0, -150, 0, 204, 0, 0, 196, 0, 12, 0, 0, 204, 0, 250, 0, 0, 192, 0, -50, 0, 0, 224, 0, 580, 0, 0, 38, 0, 124, 0, 0, -200, 0, -324, 0, 0, 460, 0, -134, 0, 0, -60, 0, 248, 0, 0, -148, 0, 306, 0, 0, 84, 0, 364, 0, 0, -260, 0, 40, 0, 0, -64, 0, 20, 0, 0, -68, 0, 168, 0, 0, -556, 0, -282, 0, 0, -334, 0, 62, 0, 0, -700, 0, -398, 0, 0, 18, 0, 48, 0, 0, 916, 0, -164, 0, 0, 174, 0, 120, 0, 0, -460, 0, -120, 0, 0, 134, 0, -148, 0, 0, 96, 0, 86, 0, 0, -232, 0, -204, 0, 0, -596, 0, -728, 0, 0, 214, 0, -200, 0, 0, 344, 0, 408, 0, 0, 34, 0, 44, 0, 0, -156, 0, -238, 0, 0, 212, 0, -352, 0, 0, 176, 0, 216, 0, 0, -388, 0, 54, 0, 0, -320, 0, -102, 0, 0, 206, 0, -432, 0, 0, -112, 0, -128, 0, 0, 292, 0, -60, 0, 0, 0, 0, -318, 0, 0, -592, 0, -296, 0, 0, -386, 0, -80, 0, 0, 76, 0, -404, 0, 0, 130, 0, -38, 0, 0, 326, 0, -200, 0, 0, 300, 0, -60, 0, 0, 86, 0, -164, 0, 0, -120, 0, 534, 0, 0, -612, 0, -22, 0, 0, -304, 0, -840, 0, 0, 224, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 342079
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '475.2.j.b', 'source_level': 475, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '95.2.e.b', 'target_level': 95, 'twist_class_label': '95.2.e.b', 'twist_class_level': 95, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 342080
{'conductor': 95, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '475.2.j.b', 'source_level': 475, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '95.2.e.b', 'target_level': 95, 'twist_class_label': '95.2.e.b', 'twist_class_level': 95, 'twisting_char_label': '95.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 342081
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '475.2.j.b', 'source_level': 475, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '475.2.e.d', 'target_level': 475, 'twist_class_label': '95.2.e.b', 'twist_class_level': 95, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 342082
{'conductor': 95, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '475.2.j.b', 'source_level': 475, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '475.2.e.d', 'target_level': 475, 'twist_class_label': '95.2.e.b', 'twist_class_level': 95, 'twisting_char_label': '95.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 342083
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '475.2.j.b', 'source_level': 475, 'target_char_orbit': 10, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '475.2.j.b', 'target_level': 475, 'twist_class_label': '95.2.e.b', 'twist_class_level': 95, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 342084
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '475.2.j.b', 'source_level': 475, 'target_char_orbit': 10, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '475.2.j.b', 'target_level': 475, 'twist_class_label': '95.2.e.b', 'twist_class_level': 95, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 342085
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '475.2.j.b', 'source_level': 475, 'target_char_orbit': 10, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '475.2.j.b', 'target_level': 475, 'twist_class_label': '95.2.e.b', 'twist_class_level': 95, 'twisting_char_label': '19.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 342086
{'conductor': 95, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '475.2.j.b', 'source_level': 475, 'target_char_orbit': 10, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '475.2.j.b', 'target_level': 475, 'twist_class_label': '95.2.e.b', 'twist_class_level': 95, 'twisting_char_label': '95.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 342087
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '475.2.j.b', 'source_level': 475, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '855.2.k.g', 'target_level': 855, 'twist_class_label': '95.2.e.b', 'twist_class_level': 95, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 342088
{'conductor': 285, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '475.2.j.b', 'source_level': 475, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '855.2.k.g', 'target_level': 855, 'twist_class_label': '95.2.e.b', 'twist_class_level': 95, 'twisting_char_label': '285.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 342089
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '475.2.j.b', 'source_level': 475, 'target_char_orbit': 17, 'target_dim': 6, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1520.2.q.j', 'target_level': 1520, 'twist_class_label': '95.2.e.b', 'twist_class_level': 95, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 342090
{'conductor': 380, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '475.2.j.b', 'source_level': 475, 'target_char_orbit': 17, 'target_dim': 6, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1520.2.q.j', 'target_level': 1520, 'twist_class_label': '95.2.e.b', 'twist_class_level': 95, 'twisting_char_label': '380.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 342091
{'conductor': 95, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '475.2.j.b', 'source_level': 475, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1805.2.a.g', 'target_level': 1805, 'twist_class_label': '95.2.e.b', 'twist_class_level': 95, 'twisting_char_label': '95.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 342092
{'conductor': 95, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '475.2.j.b', 'source_level': 475, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1805.2.a.h', 'target_level': 1805, 'twist_class_label': '95.2.e.b', 'twist_class_level': 95, 'twisting_char_label': '95.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 342093
{'conductor': 95, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '475.2.j.b', 'source_level': 475, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '9025.2.a.z', 'target_level': 9025, 'twist_class_label': '95.2.e.b', 'twist_class_level': 95, 'twisting_char_label': '95.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 342094
{'conductor': 95, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '475.2.j.b', 'source_level': 475, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '9025.2.a.ba', 'target_level': 9025, 'twist_class_label': '95.2.e.b', 'twist_class_level': 95, 'twisting_char_label': '95.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 941325
{'charpoly_factorization': [[[2401, 0, -2450, 0, 1863, 0, -552, 0, 119, 0, -13, 0, 1], 1]], 'hecke_orbit_code': 4504218136216027, 'p': 2}
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id: 941326
{'charpoly_factorization': [[[2401, 0, -2450, 0, 1863, 0, -552, 0, 119, 0, -13, 0, 1], 1]], 'hecke_orbit_code': 4504218136216027, 'p': 3}
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id: 941327
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4504218136216027, 'p': 5}
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id: 941328
{'charpoly_factorization': [[[1, 0, 21, 0, 14, 0, 1], 2]], 'hecke_orbit_code': 4504218136216027, 'p': 7}
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id: 941329
{'charpoly_factorization': [[[-1, 2, 5, 1], 4]], 'hecke_orbit_code': 4504218136216027, 'p': 11}
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id: 941330
{'charpoly_factorization': [[[625, 0, -25, 0, 1], 3]], 'hecke_orbit_code': 4504218136216027, 'p': 13}
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id: 941331
{'charpoly_factorization': [[[2401, 0, -95550, 0, 3798139, 0, -173452, 0, 5971, 0, -89, 0, 1], 1]], 'hecke_orbit_code': 4504218136216027, 'p': 17}
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id: 941332
{'charpoly_factorization': [[[6859, 0, 0, -133, 0, 0, 1], 2]], 'hecke_orbit_code': 4504218136216027, 'p': 19}
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id: 941333
{'charpoly_factorization': [[[5764801, 0, -4593113, 0, 3433875, 0, -175020, 0, 6923, 0, -94, 0, 1], 1]], 'hecke_orbit_code': 4504218136216027, 'p': 23}
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id: 941334
{'charpoly_factorization': [[[1, -5, 23, -12, 9, 2, 1], 2]], 'hecke_orbit_code': 4504218136216027, 'p': 29}
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id: 941335
{'charpoly_factorization': [[[-7, -6, 1, 1], 4]], 'hecke_orbit_code': 4504218136216027, 'p': 31}
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id: 941336
{'charpoly_factorization': [[[51529, 0, 15069, 0, 242, 0, 1], 2]], 'hecke_orbit_code': 4504218136216027, 'p': 37}
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id: 941337
{'charpoly_factorization': [[[1369, -1591, 1923, 12, 47, -2, 1], 2]], 'hecke_orbit_code': 4504218136216027, 'p': 41}
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id: 941338
{'charpoly_factorization': [[[214358881, 0, -31888098, 0, 3440635, 0, -164560, 0, 5743, 0, -89, 0, 1], 1]], 'hecke_orbit_code': 4504218136216027, 'p': 43}
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id: 941339
{'charpoly_factorization': [[[5764801, 0, -1529437, 0, 285719, 0, -27048, 0, 1863, 0, -50, 0, 1], 1]], 'hecke_orbit_code': 4504218136216027, 'p': 47}
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id: 941340
{'charpoly_factorization': [[[9354951841, 0, -832380926, 0, 54235431, 0, -1570788, 0, 33419, 0, -205, 0, 1], 1]], 'hecke_orbit_code': 4504218136216027, 'p': 53}
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id: 941341
{'charpoly_factorization': [[[2401, -343, 343, -56, 43, -6, 1], 2]], 'hecke_orbit_code': 4504218136216027, 'p': 59}
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id: 941342
{'charpoly_factorization': [[[2401, -2401, 2842, 343, 130, -9, 1], 2]], 'hecke_orbit_code': 4504218136216027, 'p': 61}
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id: 941343
{'charpoly_factorization': [[[59969536, 0, -63067136, 0, 64899840, 0, -1483008, 0, 25712, 0, -184, 0, 1], 1]], 'hecke_orbit_code': 4504218136216027, 'p': 67}
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id: 941344
{'charpoly_factorization': [[[218089, -110212, 42153, -5910, 605, -29, 1], 2]], 'hecke_orbit_code': 4504218136216027, 'p': 71}
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id: 941345
{'charpoly_factorization': [[[35153041, 0, -61074629, 0, 104628351, 0, -2563392, 0, 52199, 0, -250, 0, 1], 1]], 'hecke_orbit_code': 4504218136216027, 'p': 73}
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id: 941346
{'charpoly_factorization': [[[61504, -28768, 19408, 3280, 460, 24, 1], 2]], 'hecke_orbit_code': 4504218136216027, 'p': 79}
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id: 941347
{'charpoly_factorization': [[[5929, 0, 2454, 0, 117, 0, 1], 2]], 'hecke_orbit_code': 4504218136216027, 'p': 83}
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id: 941348
{'charpoly_factorization': [[[3136, 2016, 2080, -392, 232, 14, 1], 2]], 'hecke_orbit_code': 4504218136216027, 'p': 89}
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id: 941349
{'charpoly_factorization': [[[214358881, 0, -88578050, 0, 33952479, 0, -1065768, 0, 26711, 0, -181, 0, 1], 1]], 'hecke_orbit_code': 4504218136216027, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 10, 'hecke_orbit': 2, 'label': '475.2.j.b', 'level': 475, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 91059000
{'hecke_orbit_code': 4504218136216027, 'n': 1, 'trace_an': 12}
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id: 91059001
{'hecke_orbit_code': 4504218136216027, 'n': 2, 'trace_an': 0}
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id: 91059002
{'hecke_orbit_code': 4504218136216027, 'n': 3, 'trace_an': 0}
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id: 91059003
{'hecke_orbit_code': 4504218136216027, 'n': 4, 'trace_an': 14}
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id: 91059004
{'hecke_orbit_code': 4504218136216027, 'n': 5, 'trace_an': 0}
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id: 91059005
{'hecke_orbit_code': 4504218136216027, 'n': 6, 'trace_an': 12}
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id: 91059006
{'hecke_orbit_code': 4504218136216027, 'n': 7, 'trace_an': 0}
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id: 91059007
{'hecke_orbit_code': 4504218136216027, 'n': 8, 'trace_an': 0}
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id: 91059008
{'hecke_orbit_code': 4504218136216027, 'n': 9, 'trace_an': 8}
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id: 91059009
{'hecke_orbit_code': 4504218136216027, 'n': 10, 'trace_an': 0}
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id: 91059010
{'hecke_orbit_code': 4504218136216027, 'n': 11, 'trace_an': -20}
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id: 91059011
{'hecke_orbit_code': 4504218136216027, 'n': 12, 'trace_an': 0}
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id: 91059012
{'hecke_orbit_code': 4504218136216027, 'n': 13, 'trace_an': 0}
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id: 91059013
{'hecke_orbit_code': 4504218136216027, 'n': 14, 'trace_an': 14}
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{'hecke_orbit_code': 4504218136216027, 'n': 997, 'trace_an': 0}
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id: 91059997
{'hecke_orbit_code': 4504218136216027, 'n': 998, 'trace_an': 0}
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id: 91059998
{'hecke_orbit_code': 4504218136216027, 'n': 999, 'trace_an': 4}
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id: 91059999
{'hecke_orbit_code': 4504218136216027, 'n': 1000, 'trace_an': 0}