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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, 'atkin_lehner_eigenvals': [[5, -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': [475, 1, [77, 401], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 6, 'field_disc': 66064384, 'field_disc_factorization': [[2, 12], [127, 2]], 'field_poly': [-1, 0, 13, 0, -9, 0, 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': 1, 'hecke_cutters': [[2, [-16, 0, 27, 0, -10, 0, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679889371, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[5, -1], [19, -1]], 5, 3], [[[5, -1], [19, 1]], 9, 2], [[[5, 1], [19, 1]], 6, 2], [[[5, 1], [19, -1]], 8, 3]], 'ALdims': [6, 8, 9, 5], 'Nk2': 1900, 'analytic_conductor': 3.7928940960108184, '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': [475, 1, [77, 401], [1, 1]], 'conrey_index': 1, 'cusp_dim': 45, 'dim': 28, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33554907, 'hecke_orbit_dims': [1, 1, 1, 3, 3, 3, 3, 3, 4, 6], 'label': '475.2.a', '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': 56, 'mf_new_dim': 28, 'num_forms': 10, 'plus_dim': 11, 'prim_orbit_index': 1, 'relative_dim': 28, 'sturm_bound': 100, 'trace_bound': 2, 'trace_display': [1, -2, 0, -3], 'traces': [28, 1, -2, 29, 0, 0, -3, 9, 16, 0, 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mf_twists_cc • Show schema
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id: 46775683
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532396679889371, 'source_is_minimal': False, 'source_label': '475.2.a.j.1.6', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 40532396679889371, 'target_is_minimal': False, 'target_label': '475.2.a.j.1.6', 'target_level': 475, 'twist_class_label': '95.2.b.b.39.1', 'twist_class_level': 95, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46775684
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532396679889371, 'source_is_minimal': False, 'source_label': '475.2.a.j.1.6', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 193654784010490035, 'target_is_minimal': False, 'target_label': '4275.2.a.br.1.1', 'target_level': 4275, 'twist_class_label': '95.2.b.b.39.1', 'twist_class_level': 95, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46775685
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532396679889371, 'source_is_minimal': False, 'source_label': '475.2.a.j.1.6', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 279223176930532784, 'target_is_minimal': False, 'target_label': '7600.2.a.ck.1.4', 'target_level': 7600, 'twist_class_label': '95.2.b.b.39.1', 'twist_class_level': 95, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46775686
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532396679889371, 'source_is_minimal': False, 'source_label': '475.2.a.j.1.6', 'source_level': 475, 'target_conrey_index': 39, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4503668380401759, 'target_is_minimal': True, 'target_label': '95.2.b.b.39.6', 'target_level': 95, 'twist_class_label': '95.2.b.b.39.1', 'twist_class_level': 95, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46775687
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532396679889371, 'source_is_minimal': False, 'source_label': '475.2.a.j.1.6', 'source_level': 475, 'target_conrey_index': 39, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503668380401759, 'target_is_minimal': True, 'target_label': '95.2.b.b.39.1', 'target_level': 95, 'twist_class_label': '95.2.b.b.39.1', 'twist_class_level': 95, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46775688
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532396679889371, 'source_is_minimal': False, 'source_label': '475.2.a.j.1.6', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679889371, 'target_is_minimal': False, 'target_label': '475.2.a.j.1.1', 'target_level': 475, 'twist_class_label': '95.2.b.b.39.1', 'twist_class_level': 95, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46775689
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532396679889371, 'source_is_minimal': False, 'source_label': '475.2.a.j.1.6', 'source_level': 475, 'target_conrey_index': 514, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354620247, 'target_is_minimal': False, 'target_label': '855.2.c.d.514.1', 'target_level': 855, 'twist_class_label': '95.2.b.b.39.1', 'twist_class_level': 95, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46775690
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532396679889371, 'source_is_minimal': False, 'source_label': '475.2.a.j.1.6', 'source_level': 475, 'target_conrey_index': 514, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13510936354620247, 'target_is_minimal': False, 'target_label': '855.2.c.d.514.6', 'target_level': 855, 'twist_class_label': '95.2.b.b.39.1', 'twist_class_level': 95, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 46775691
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532396679889371, 'source_is_minimal': False, 'source_label': '475.2.a.j.1.6', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 193654784010490035, 'target_is_minimal': False, 'target_label': '4275.2.a.br.1.6', 'target_level': 4275, 'twist_class_label': '95.2.b.b.39.1', 'twist_class_level': 95, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46775692
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532396679889371, 'source_is_minimal': False, 'source_label': '475.2.a.j.1.6', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 220676381774717761, 'target_is_minimal': False, 'target_label': '9025.2.a.bx.1.1', 'target_level': 9025, 'twist_class_label': '95.2.b.b.39.1', 'twist_class_level': 95, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 46775693
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532396679889371, 'source_is_minimal': False, 'source_label': '475.2.a.j.1.6', 'source_level': 475, 'target_conrey_index': 609, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31525403583579632, 'target_is_minimal': False, 'target_label': '1520.2.d.h.609.4', 'target_level': 1520, 'twist_class_label': '95.2.b.b.39.1', 'twist_class_level': 95, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46775694
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532396679889371, 'source_is_minimal': False, 'source_label': '475.2.a.j.1.6', 'source_level': 475, 'target_conrey_index': 609, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31525403583579632, 'target_is_minimal': False, 'target_label': '1520.2.d.h.609.3', 'target_level': 1520, 'twist_class_label': '95.2.b.b.39.1', 'twist_class_level': 95, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46775695
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532396679889371, 'source_is_minimal': False, 'source_label': '475.2.a.j.1.6', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 279223176930532784, 'target_is_minimal': False, 'target_label': '7600.2.a.ck.1.3', 'target_level': 7600, 'twist_class_label': '95.2.b.b.39.1', 'twist_class_level': 95, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 46775696
{'conductor': 95, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532396679889371, 'source_is_minimal': False, 'source_label': '475.2.a.j.1.6', 'source_level': 475, 'target_conrey_index': 1084, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 18014467262514957, 'target_is_minimal': False, 'target_label': '1805.2.b.e.1084.6', 'target_level': 1805, 'twist_class_label': '95.2.b.b.39.1', 'twist_class_level': 95, 'twisting_char_label': '95.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 46775697
{'conductor': 95, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532396679889371, 'source_is_minimal': False, 'source_label': '475.2.a.j.1.6', 'source_level': 475, 'target_conrey_index': 1084, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014467262514957, 'target_is_minimal': False, 'target_label': '1805.2.b.e.1084.1', 'target_level': 1805, 'twist_class_label': '95.2.b.b.39.1', 'twist_class_level': 95, 'twisting_char_label': '95.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 46775698
{'conductor': 95, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532396679889371, 'source_is_minimal': False, 'source_label': '475.2.a.j.1.6', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 220676381774717761, 'target_is_minimal': False, 'target_label': '9025.2.a.bx.1.6', 'target_level': 9025, 'twist_class_label': '95.2.b.b.39.1', 'twist_class_level': 95, 'twisting_char_label': '95.94', 'twisting_conrey_index': 94, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 940850
{'charpoly_factorization': [[[-16, 0, 27, 0, -10, 0, 1], 1]], 'hecke_orbit_code': 40532396679889371, 'p': 2}
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id: 940851
{'charpoly_factorization': [[[-16, 0, 60, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 40532396679889371, 'p': 3}
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id: 940852
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 40532396679889371, 'p': 5}
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id: 940853
{'charpoly_factorization': [[[-144, 0, 104, 0, -19, 0, 1], 1]], 'hecke_orbit_code': 40532396679889371, 'p': 7}
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id: 940854
{'charpoly_factorization': [[[12, -16, -1, 1], 2]], 'hecke_orbit_code': 40532396679889371, 'p': 11}
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id: 940855
{'charpoly_factorization': [[[-576, 0, 236, 0, -28, 0, 1], 1]], 'hecke_orbit_code': 40532396679889371, 'p': 13}
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id: 940856
{'charpoly_factorization': [[[-5184, 0, 1008, 0, -59, 0, 1], 1]], 'hecke_orbit_code': 40532396679889371, 'p': 17}
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id: 940857
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 40532396679889371, 'p': 19}
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id: 940858
{'charpoly_factorization': [[[-64, 0, 208, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 40532396679889371, 'p': 23}
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id: 940859
{'charpoly_factorization': [[[-6, 1], 6]], 'hecke_orbit_code': 40532396679889371, 'p': 29}
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id: 940860
{'charpoly_factorization': [[[128, -56, 0, 1], 2]], 'hecke_orbit_code': 40532396679889371, 'p': 31}
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id: 940861
{'charpoly_factorization': [[[-1296, 0, 764, 0, -56, 0, 1], 1]], 'hecke_orbit_code': 40532396679889371, 'p': 37}
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id: 940862
{'charpoly_factorization': [[[-24, -44, -6, 1], 2]], 'hecke_orbit_code': 40532396679889371, 'p': 41}
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id: 940863
{'charpoly_factorization': [[[-144, 0, 104, 0, -19, 0, 1], 1]], 'hecke_orbit_code': 40532396679889371, 'p': 43}
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id: 940864
{'charpoly_factorization': [[[-85264, 0, 7464, 0, -187, 0, 1], 1]], 'hecke_orbit_code': 40532396679889371, 'p': 47}
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id: 940865
{'charpoly_factorization': [[[-64, 0, 2476, 0, -156, 0, 1], 1]], 'hecke_orbit_code': 40532396679889371, 'p': 53}
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id: 940866
{'charpoly_factorization': [[[48, 8, -10, 1], 2]], 'hecke_orbit_code': 40532396679889371, 'p': 59}
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id: 940867
{'charpoly_factorization': [[[-776, -104, 7, 1], 2]], 'hecke_orbit_code': 40532396679889371, 'p': 61}
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id: 940868
{'charpoly_factorization': [[[-484416, 0, 28556, 0, -340, 0, 1], 1]], 'hecke_orbit_code': 40532396679889371, 'p': 67}
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id: 940869
{'charpoly_factorization': [[[-432, 200, -26, 1], 2]], 'hecke_orbit_code': 40532396679889371, 'p': 71}
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id: 940870
{'charpoly_factorization': [[[-5184, 0, 1616, 0, -131, 0, 1], 1]], 'hecke_orbit_code': 40532396679889371, 'p': 73}
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id: 940871
{'charpoly_factorization': [[[-32, -8, 12, 1], 2]], 'hecke_orbit_code': 40532396679889371, 'p': 79}
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id: 940872
{'charpoly_factorization': [[[-141376, 0, 11728, 0, -228, 0, 1], 1]], 'hecke_orbit_code': 40532396679889371, 'p': 83}
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id: 940873
{'charpoly_factorization': [[[3456, -284, -12, 1], 2]], 'hecke_orbit_code': 40532396679889371, 'p': 89}
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id: 940874
{'charpoly_factorization': [[[-576, 0, 236, 0, -28, 0, 1], 1]], 'hecke_orbit_code': 40532396679889371, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '475.2.a.j', '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: 202764000
{'hecke_orbit_code': 40532396679889371, 'n': 1, 'trace_an': 6}
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id: 202764001
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