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mf_newforms • Show schema
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{'Nk2': 9576, 'analytic_conductor': 19.116186243894525, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 133, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [2394, 2, [533, 1711, 1009], [2, 1, 1]], 'cm_discs': [], 'conrey_index': 1063, 'conrey_indexes': [1063], 'dim': 12, 'field_disc': 218590270363795456, 'field_disc_factorization': [[2, 18], [7, 2], [73, 2], [1787, 2]], 'field_poly': [1, 4, 8, -4, 9, 46, 120, -114, 54, 0, 2, -2, 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, [64, 0, 576, 0, 1680, 0, 1744, 0, 424, 0, 36, 0, 1]], [13, [40, 32, -92, 16, 24, -10, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874538834266, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 128, 'hecke_ring_index_factorization': [[2, 7]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 133, 3, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2394.2.e.b', 'level': 2394, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'minimal_twist': '798.2.e.a', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{4}q^{2}-q^{4}-\\beta _{2}q^{5}+\\beta _{7}q^{7}+\\beta _{4}q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2394.2.e', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1609503884948647549, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.071', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.023', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 9576, 'analytic_conductor': 19.116186243894525, 'char_conductor': 133, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [2394, 2, [533, 1711, 1009], [2, 1, 1]], 'conrey_index': 1063, 'cusp_dim': 464, 'dim': 64, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13], 'hecke_orbit_code': 274911463770, 'hecke_orbit_dims': [12, 12, 16, 24], 'label': '2394.2.e', 'level': 2394, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'mf_dim': 496, 'mf_new_dim': 64, 'num_forms': 4, 'prim_orbit_index': 3, 'relative_dim': 64, 'sturm_bound': 960, 'trace_bound': 10, 'trace_display': [0, 0, 0, -2], 'traces': [64, 0, 0, -64, 0, 0, -2, 0, 0, 0, -12, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 4, 0, -28, 0, 0, 2, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 28, 12, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 35105894
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1063, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503874538834266, 'source_is_minimal': False, 'source_label': '2394.2.e.b.1063.12', 'source_level': 2394, 'target_conrey_index': 1063, 'target_dim': 12, 'target_embedding_index': 12, 'target_hecke_orbit_code': 4503874538834266, 'target_is_minimal': False, 'target_label': '2394.2.e.b.1063.12', 'target_level': 2394, 'twist_class_label': '798.2.e.a.265.6', 'twist_class_level': 798, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35105895
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1063, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503874538834266, 'source_is_minimal': False, 'source_label': '2394.2.e.b.1063.12', 'source_level': 2394, 'target_conrey_index': 265, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832670, 'target_is_minimal': True, 'target_label': '798.2.e.b.265.1', 'target_level': 798, 'twist_class_label': '798.2.e.a.265.6', 'twist_class_level': 798, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35105896
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1063, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503874538834266, 'source_is_minimal': False, 'source_label': '2394.2.e.b.1063.12', 'source_level': 2394, 'target_conrey_index': 1063, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 274911463770, 'target_is_minimal': False, 'target_label': '2394.2.e.a.1063.7', 'target_level': 2394, 'twist_class_label': '798.2.e.a.265.6', 'twist_class_level': 798, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 35105897
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1063, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503874538834266, 'source_is_minimal': False, 'source_label': '2394.2.e.b.1063.12', 'source_level': 2394, 'target_conrey_index': 1063, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 274911463770, 'target_is_minimal': False, 'target_label': '2394.2.e.a.1063.6', 'target_level': 2394, 'twist_class_label': '798.2.e.a.265.6', 'twist_class_level': 798, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 35105898
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1063, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503874538834266, 'source_is_minimal': False, 'source_label': '2394.2.e.b.1063.12', 'source_level': 2394, 'target_conrey_index': 265, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 274911462174, 'target_is_minimal': True, 'target_label': '798.2.e.a.265.6', 'target_level': 798, 'twist_class_label': '798.2.e.a.265.6', 'twist_class_level': 798, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 35105899
{'conductor': 57, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1063, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503874538834266, 'source_is_minimal': False, 'source_label': '2394.2.e.b.1063.12', 'source_level': 2394, 'target_conrey_index': 265, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 274911462174, 'target_is_minimal': True, 'target_label': '798.2.e.a.265.7', 'target_level': 798, 'twist_class_label': '798.2.e.a.265.6', 'twist_class_level': 798, 'twisting_char_label': '57.56', 'twisting_conrey_index': 56, 'weight': 2}
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id: 35105900
{'conductor': 133, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1063, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503874538834266, 'source_is_minimal': False, 'source_label': '2394.2.e.b.1063.12', 'source_level': 2394, 'target_conrey_index': 1063, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538834266, 'target_is_minimal': False, 'target_label': '2394.2.e.b.1063.1', 'target_level': 2394, 'twist_class_label': '798.2.e.a.265.6', 'twist_class_level': 798, 'twisting_char_label': '133.132', 'twisting_conrey_index': 132, 'weight': 2}
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id: 35105901
{'conductor': 399, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1063, 'source_dim': 12, 'source_embedding_index': 12, 'source_hecke_orbit_code': 4503874538834266, 'source_is_minimal': False, 'source_label': '2394.2.e.b.1063.12', 'source_level': 2394, 'target_conrey_index': 265, 'target_dim': 12, 'target_embedding_index': 12, 'target_hecke_orbit_code': 4503874538832670, 'target_is_minimal': True, 'target_label': '798.2.e.b.265.12', 'target_level': 798, 'twist_class_label': '798.2.e.a.265.6', 'twist_class_level': 798, 'twisting_char_label': '399.398', 'twisting_conrey_index': 398, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2626025
{'charpoly_factorization': [[[1, 0, 1], 6]], 'hecke_orbit_code': 4503874538834266, 'p': 2}
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id: 2626026
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4503874538834266, 'p': 3}
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id: 2626027
{'charpoly_factorization': [[[64, 0, 576, 0, 1680, 0, 1744, 0, 424, 0, 36, 0, 1], 1]], 'hecke_orbit_code': 4503874538834266, 'p': 5}
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id: 2626028
{'charpoly_factorization': [[[117649, 0, -4802, 5488, -833, -784, 196, -112, -17, 16, -2, 0, 1], 1]], 'hecke_orbit_code': 4503874538834266, 'p': 7}
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id: 2626029
{'charpoly_factorization': [[[104, 72, -116, -104, -10, 6, 1], 2]], 'hecke_orbit_code': 4503874538834266, 'p': 11}
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id: 2626030
{'charpoly_factorization': [[[40, 32, -92, 16, 24, -10, 1], 2]], 'hecke_orbit_code': 4503874538834266, 'p': 13}
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id: 2626031
{'charpoly_factorization': [[[5125696, 0, 6048640, 0, 1624048, 0, 158528, 0, 6876, 0, 136, 0, 1], 1]], 'hecke_orbit_code': 4503874538834266, 'p': 17}
-
id: 2626032
{'charpoly_factorization': [[[47045881, 19808792, 260642, -713336, 60287, 41040, 5820, 2160, 167, -104, 2, 8, 1], 1]], 'hecke_orbit_code': 4503874538834266, 'p': 19}
-
id: 2626033
{'charpoly_factorization': [[[-2056, -2080, 532, 368, -64, -6, 1], 2]], 'hecke_orbit_code': 4503874538834266, 'p': 23}
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id: 2626034
{'charpoly_factorization': [[[11505664, 0, 7913472, 0, 1758720, 0, 171136, 0, 7760, 0, 152, 0, 1], 1]], 'hecke_orbit_code': 4503874538834266, 'p': 29}
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id: 2626035
{'charpoly_factorization': [[[5192, -1072, -2184, 860, -42, -12, 1], 2]], 'hecke_orbit_code': 4503874538834266, 'p': 31}
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id: 2626036
{'charpoly_factorization': [[[12334144, 0, 8545664, 0, 1894432, 0, 164512, 0, 6740, 0, 132, 0, 1], 1]], 'hecke_orbit_code': 4503874538834266, 'p': 37}
-
id: 2626037
{'charpoly_factorization': [[[12224, -32256, 4208, 1088, -144, -8, 1], 2]], 'hecke_orbit_code': 4503874538834266, 'p': 41}
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id: 2626038
{'charpoly_factorization': [[[4928, -11200, 5232, 160, -176, 0, 1], 2]], 'hecke_orbit_code': 4503874538834266, 'p': 43}
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id: 2626039
{'charpoly_factorization': [[[3534400, 0, 8712704, 0, 4669984, 0, 543616, 0, 20068, 0, 252, 0, 1], 1]], 'hecke_orbit_code': 4503874538834266, 'p': 47}
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id: 2626040
{'charpoly_factorization': [[[545689600, 0, 286150656, 0, 36689408, 0, 1784960, 0, 36880, 0, 328, 0, 1], 1]], 'hecke_orbit_code': 4503874538834266, 'p': 53}
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id: 2626041
{'charpoly_factorization': [[[-3520, -12736, -12288, -2368, -28, 20, 1], 2]], 'hecke_orbit_code': 4503874538834266, 'p': 59}
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id: 2626042
{'charpoly_factorization': [[[10816000000, 0, 1511501824, 0, 85262848, 0, 2475392, 0, 38864, 0, 312, 0, 1], 1]], 'hecke_orbit_code': 4503874538834266, 'p': 61}
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id: 2626043
{'charpoly_factorization': [[[1894686784, 0, 473470336, 0, 43149168, 0, 1838976, 0, 37916, 0, 344, 0, 1], 1]], 'hecke_orbit_code': 4503874538834266, 'p': 67}
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id: 2626044
{'charpoly_factorization': [[[125440000, 0, 318976000, 0, 36333056, 0, 1572224, 0, 31760, 0, 296, 0, 1], 1]], 'hecke_orbit_code': 4503874538834266, 'p': 71}
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id: 2626045
{'charpoly_factorization': [[[8131710976, 0, 2004232192, 0, 159424768, 0, 4857216, 0, 67680, 0, 432, 0, 1], 1]], 'hecke_orbit_code': 4503874538834266, 'p': 73}
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id: 2626046
{'charpoly_factorization': [[[18496, 0, 2062418112, 0, 271939600, 0, 9204400, 0, 112104, 0, 564, 0, 1], 1]], 'hecke_orbit_code': 4503874538834266, 'p': 79}
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id: 2626047
{'charpoly_factorization': [[[203689984, 0, 266151936, 0, 91336448, 0, 10001152, 0, 146160, 0, 680, 0, 1], 1]], 'hecke_orbit_code': 4503874538834266, 'p': 83}
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id: 2626048
{'charpoly_factorization': [[[-755200, -79616, 28544, 1600, -312, -8, 1], 2]], 'hecke_orbit_code': 4503874538834266, 'p': 89}
-
id: 2626049
{'charpoly_factorization': [[[-5656, 8456, -372, -1672, 126, 30, 1], 2]], 'hecke_orbit_code': 4503874538834266, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '2394.2.e.b', 'level': 2394, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 85728000
{'hecke_orbit_code': 4503874538834266, 'n': 1, 'trace_an': 12}
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id: 85728001
{'hecke_orbit_code': 4503874538834266, 'n': 2, 'trace_an': 0}
-
id: 85728002
{'hecke_orbit_code': 4503874538834266, 'n': 3, 'trace_an': 0}
-
id: 85728003
{'hecke_orbit_code': 4503874538834266, 'n': 4, 'trace_an': -12}
-
id: 85728004
{'hecke_orbit_code': 4503874538834266, 'n': 5, 'trace_an': 0}
-
id: 85728005
{'hecke_orbit_code': 4503874538834266, 'n': 6, 'trace_an': 0}
-
id: 85728006
{'hecke_orbit_code': 4503874538834266, 'n': 7, 'trace_an': 0}
-
id: 85728007
{'hecke_orbit_code': 4503874538834266, 'n': 8, 'trace_an': 0}
-
id: 85728008
{'hecke_orbit_code': 4503874538834266, 'n': 9, 'trace_an': 0}
-
id: 85728009
{'hecke_orbit_code': 4503874538834266, 'n': 10, 'trace_an': 4}
-
id: 85728010
{'hecke_orbit_code': 4503874538834266, 'n': 11, 'trace_an': -12}
-
id: 85728011
{'hecke_orbit_code': 4503874538834266, 'n': 12, 'trace_an': 0}
-
id: 85728012
{'hecke_orbit_code': 4503874538834266, 'n': 13, 'trace_an': 20}
-
id: 85728013
{'hecke_orbit_code': 4503874538834266, 'n': 14, 'trace_an': 4}
-
id: 85728014
{'hecke_orbit_code': 4503874538834266, 'n': 15, 'trace_an': 0}
-
id: 85728015
{'hecke_orbit_code': 4503874538834266, 'n': 16, 'trace_an': 12}
-
id: 85728016
{'hecke_orbit_code': 4503874538834266, 'n': 17, 'trace_an': 0}
-
id: 85728017
{'hecke_orbit_code': 4503874538834266, 'n': 18, 'trace_an': 0}
-
id: 85728018
{'hecke_orbit_code': 4503874538834266, 'n': 19, 'trace_an': -8}
-
id: 85728019
{'hecke_orbit_code': 4503874538834266, 'n': 20, 'trace_an': 0}
-
id: 85728020
{'hecke_orbit_code': 4503874538834266, 'n': 21, 'trace_an': 0}
-
id: 85728021
{'hecke_orbit_code': 4503874538834266, 'n': 22, 'trace_an': 0}
-
id: 85728022
{'hecke_orbit_code': 4503874538834266, 'n': 23, 'trace_an': 12}
-
id: 85728023
{'hecke_orbit_code': 4503874538834266, 'n': 24, 'trace_an': 0}
-
id: 85728024
{'hecke_orbit_code': 4503874538834266, 'n': 25, 'trace_an': -12}
-
id: 85728025
{'hecke_orbit_code': 4503874538834266, 'n': 26, 'trace_an': 0}
-
id: 85728026
{'hecke_orbit_code': 4503874538834266, 'n': 27, 'trace_an': 0}
-
id: 85728027
{'hecke_orbit_code': 4503874538834266, 'n': 28, 'trace_an': 0}
-
id: 85728028
{'hecke_orbit_code': 4503874538834266, 'n': 29, 'trace_an': 0}
-
id: 85728029
{'hecke_orbit_code': 4503874538834266, 'n': 30, 'trace_an': 0}
-
id: 85728030
{'hecke_orbit_code': 4503874538834266, 'n': 31, 'trace_an': 24}
-
id: 85728031
{'hecke_orbit_code': 4503874538834266, 'n': 32, 'trace_an': 0}
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id: 85728032
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