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{'Nk2': 18600, 'analytic_conductor': 37.130436939895375, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [31, 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': [4650, 1, [3101, 2977, 1801], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 1708, 'field_disc_factorization': [[2, 2], [7, 1], [61, 1]], 'field_poly': [-2, -8, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-2, 1]], [11, [8, 13, -8, 1]], [13, [-14, 25, -10, 1]], [19, [4, -35, 2, 1]]], 'hecke_orbit': 68, 'hecke_orbit_code': 301741175067382314, 'hecke_ring_generator_nbound': 11, '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': False, 'label': '4650.2.a.cp', 'level': 4650, '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, 5, 31], 'level_radical': 930, 'minimal_twist': '930.2.d.i', 'nf_label': '3.3.1708.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}+q^{6}+2q^{7}+q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4650.2.a', 'trace_display': [3, 3, 0, 6], 'trace_hash': 1810475545612531705, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.127', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.937', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.241', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.624', 'prec': 20}, {'__RealLiteral__': 0, 'data': '18.964', 'prec': 20}, {'__RealLiteral__': 0, 'data': '259.042', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [3, 3, 3, 3, 0, 3, 6, 3, 3, 0, 8, 3, 10, 6, 0, 3, 2, 3, -2, 0, 6, 8, 2, 3, 0, 10, 3, 6, -2, 0, -3, 3, 8, 2, 0, 3, -6, -2, 10, 0, 6, 6, 0, 8, 0, 2, -2, 3, -9, 0, 2, 10, 10, 3, 0, 6, -2, -2, -2, 0, 14, -3, 6, 3, 0, 8, -16, 2, 2, 0, -8, 3, -2, -6, 0, -2, 16, 10, -6, 0, 3, 6, 2, 6, 0, 0, -2, 8, -2, 0, 20, 2, -3, -2, 0, 3, -20, -9, 8, 0, 0, 2, -18, 10, 0, 10, 32, 3, -14, 0, -6, 6, 10, -2, 0, -2, 10, -2, 4, 0, 5, 14, 6, -3, 0, 6, -16, 3, 0, 0, 10, 8, -4, -16, 0, 2, -8, 2, 34, 0, -2, -8, 10, 3, 0, -2, -9, -6, 12, 0, 22, -2, 2, 16, 0, 10, -6, -6, 10, 0, 4, 3, -4, 6, 0, 2, 6, 6, 11, 0, -2, 0, 16, -2, 0, 8, -2, -2, -28, 0, -4, 20, 14, 2, 0, -3, -20, -2, 6, 0, 12, 3, -16, -20, 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3, 'dual_embedding_m': 3, 'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': 0.0, 'embedding_root_real': -2.2101841298833715, 'hecke_orbit': 68, 'hecke_orbit_code': 301741175067382314, 'label': '4650.2.a.cp.1.3', 'level': 4650, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [6, 6, 7, 5, 6, 6, 5, 7, 7, 4, 4, 8, 4, 7, 8, 4], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [46, 57, 57, 50, 54, 54, 54, 49, 56, 50, 52, 54, 56, 50, 47, 57], 'Nk2': 18600, 'analytic_conductor': 37.130436939895375, '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': [4650, 1, [3101, 2977, 1801], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 94, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 19], 'hecke_orbit_code': 33559082, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3], 'label': '4650.2.a', 'level': 4650, 'level_is_powerful': False, 'level_is_prime': False, 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mf_twists_cc • Show schema
Hide schema
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id: 49123464
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 301741175067382314, 'source_is_minimal': False, 'source_label': '4650.2.a.cp.1.3', 'source_level': 4650, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 301741175067382314, 'target_is_minimal': False, 'target_label': '4650.2.a.cp.1.3', 'target_level': 4650, 'twist_class_label': '930.2.d.i.559.3', 'twist_class_level': 930, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49123465
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 301741175067382314, 'source_is_minimal': False, 'source_label': '4650.2.a.cp.1.3', 'source_level': 4650, 'target_conrey_index': 559, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 36029003210949538, 'target_is_minimal': True, 'target_label': '930.2.d.i.559.6', 'target_level': 930, 'twist_class_label': '930.2.d.i.559.3', 'twist_class_level': 930, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49123466
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 301741175067382314, 'source_is_minimal': False, 'source_label': '4650.2.a.cp.1.3', 'source_level': 4650, 'target_conrey_index': 559, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36029003210949538, 'target_is_minimal': True, 'target_label': '930.2.d.i.559.3', 'target_level': 930, 'twist_class_label': '930.2.d.i.559.3', 'twist_class_level': 930, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49123467
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 301741175067382314, 'source_is_minimal': False, 'source_label': '4650.2.a.cp.1.3', 'source_level': 4650, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 270215977675788842, 'target_is_minimal': False, 'target_label': '4650.2.a.ci.1.3', 'target_level': 4650, 'twist_class_label': '930.2.d.i.559.3', 'twist_class_level': 930, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49123468
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 301741175067382314, 'source_is_minimal': False, 'source_label': '4650.2.a.cp.1.3', 'source_level': 4650, 'target_conrey_index': 559, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532602838321894, 'target_is_minimal': False, 'target_label': '2790.2.d.j.559.1', 'target_level': 2790, 'twist_class_label': '930.2.d.i.559.3', 'twist_class_level': 930, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49123469
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 301741175067382314, 'source_is_minimal': False, 'source_label': '4650.2.a.cp.1.3', 'source_level': 4650, 'target_conrey_index': 559, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532602838321894, 'target_is_minimal': False, 'target_label': '2790.2.d.j.559.4', 'target_level': 2790, 'twist_class_label': '930.2.d.i.559.3', 'twist_class_level': 930, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3662975
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 301741175067382314, 'p': 2}
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id: 3662976
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 301741175067382314, 'p': 3}
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id: 3662977
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 301741175067382314, 'p': 5}
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id: 3662978
{'charpoly_factorization': [[[-2, 1], 3]], 'hecke_orbit_code': 301741175067382314, 'p': 7}
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id: 3662979
{'charpoly_factorization': [[[8, 13, -8, 1], 1]], 'hecke_orbit_code': 301741175067382314, 'p': 11}
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id: 3662980
{'charpoly_factorization': [[[-14, 25, -10, 1], 1]], 'hecke_orbit_code': 301741175067382314, 'p': 13}
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id: 3662981
{'charpoly_factorization': [[[-4, -35, -2, 1], 1]], 'hecke_orbit_code': 301741175067382314, 'p': 17}
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id: 3662982
{'charpoly_factorization': [[[4, -35, 2, 1], 1]], 'hecke_orbit_code': 301741175067382314, 'p': 19}
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id: 3662983
{'charpoly_factorization': [[[-16, -32, -2, 1], 1]], 'hecke_orbit_code': 301741175067382314, 'p': 23}
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id: 3662984
{'charpoly_factorization': [[[16, -32, 2, 1], 1]], 'hecke_orbit_code': 301741175067382314, 'p': 29}
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id: 3662985
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 301741175067382314, 'p': 31}
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id: 3662986
{'charpoly_factorization': [[[-128, -64, 6, 1], 1]], 'hecke_orbit_code': 301741175067382314, 'p': 37}
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id: 3662987
{'charpoly_factorization': [[[-2, 1], 3]], 'hecke_orbit_code': 301741175067382314, 'p': 41}
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id: 3662988
{'charpoly_factorization': [[[-16, -76, 0, 1], 1]], 'hecke_orbit_code': 301741175067382314, 'p': 43}
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id: 3662989
{'charpoly_factorization': [[[4, -35, 2, 1], 1]], 'hecke_orbit_code': 301741175067382314, 'p': 47}
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id: 3662990
{'charpoly_factorization': [[[-8, -44, -10, 1], 1]], 'hecke_orbit_code': 301741175067382314, 'p': 53}
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id: 3662991
{'charpoly_factorization': [[[-280, -76, 2, 1], 1]], 'hecke_orbit_code': 301741175067382314, 'p': 59}
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id: 3662992
{'charpoly_factorization': [[[1372, -91, -14, 1], 1]], 'hecke_orbit_code': 301741175067382314, 'p': 61}
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id: 3662993
{'charpoly_factorization': [[[-652, -15, 16, 1], 1]], 'hecke_orbit_code': 301741175067382314, 'p': 67}
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id: 3662994
{'charpoly_factorization': [[[20, -79, 8, 1], 1]], 'hecke_orbit_code': 301741175067382314, 'p': 71}
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id: 3662995
{'charpoly_factorization': [[[-392, -132, 2, 1], 1]], 'hecke_orbit_code': 301741175067382314, 'p': 73}
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id: 3662996
{'charpoly_factorization': [[[-28, -7, 6, 1], 1]], 'hecke_orbit_code': 301741175067382314, 'p': 79}
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id: 3662997
{'charpoly_factorization': [[[-244, -183, -2, 1], 1]], 'hecke_orbit_code': 301741175067382314, 'p': 83}
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id: 3662998
{'charpoly_factorization': [[[-320, -144, 2, 1], 1]], 'hecke_orbit_code': 301741175067382314, 'p': 89}
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id: 3662999
{'charpoly_factorization': [[[236, 125, 20, 1], 1]], 'hecke_orbit_code': 301741175067382314, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 68, 'label': '4650.2.a.cp', 'level': 4650, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 72287965
{'hecke_orbit_code': 301741175067382314, 'n': 1, 'trace_an': 3}
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id: 72287966
{'hecke_orbit_code': 301741175067382314, 'n': 2, 'trace_an': 3}
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id: 72287967
{'hecke_orbit_code': 301741175067382314, 'n': 3, 'trace_an': 3}
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id: 72287968
{'hecke_orbit_code': 301741175067382314, 'n': 4, 'trace_an': 3}
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id: 72287969
{'hecke_orbit_code': 301741175067382314, 'n': 5, 'trace_an': 0}
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id: 72287970
{'hecke_orbit_code': 301741175067382314, 'n': 6, 'trace_an': 3}
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id: 72287971
{'hecke_orbit_code': 301741175067382314, 'n': 7, 'trace_an': 6}
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id: 72287972
{'hecke_orbit_code': 301741175067382314, 'n': 8, 'trace_an': 3}
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id: 72287973
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