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mf_newforms • Show schema
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{'Nk2': 4864, 'analytic_conductor': 9.709808885787695, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [19, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1216, 1, [191, 837, 705], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': 0, 'hecke_cutters': [[3, [-1, 1]], [5, [0, 1]], [7, [3, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934631104, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [19, -1]], 7, 6], [[[2, 1], [19, -1]], 11, 6], [[[2, 1], [19, 1]], 8, 5], [[[2, -1], [19, 1]], 10, 7]], 'ALdims': [8, 11, 10, 7], 'Nk2': 4864, 'analytic_conductor': 9.709808885787695, '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': [1216, 1, [191, 837, 705], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 149, 'dim': 36, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33555648, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4], 'label': '1216.2.a', 'level': 1216, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 19], 'level_radical': 38, 'mf_dim': 172, 'mf_new_dim': 36, 'num_forms': 24, 'plus_dim': 15, 'prim_orbit_index': 1, 'relative_dim': 36, 'sturm_bound': 320, 'trace_bound': 7, 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mf_twists_cc • Show schema
Hide schema
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id: 47269828
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631104, 'source_is_minimal': False, 'source_label': '1216.2.a.l.1.1', 'source_level': 1216, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934631104, 'target_is_minimal': False, 'target_label': '1216.2.a.l.1.1', 'target_level': 1216, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47269829
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631104, 'source_is_minimal': False, 'source_label': '1216.2.a.l.1.1', 'source_level': 1216, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170408128, 'target_is_minimal': False, 'target_label': '1216.2.a.f.1.1', 'target_level': 1216, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47269830
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631104, 'source_is_minimal': False, 'source_label': '1216.2.a.l.1.1', 'source_level': 1216, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925080, 'target_is_minimal': True, 'target_label': '152.2.a.b.1.1', 'target_level': 152, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47269831
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631104, 'source_is_minimal': False, 'source_label': '1216.2.a.l.1.1', 'source_level': 1216, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925232, 'target_is_minimal': False, 'target_label': '304.2.a.b.1.1', 'target_level': 304, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47269832
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631104, 'source_is_minimal': False, 'source_label': '1216.2.a.l.1.1', 'source_level': 1216, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307262128, 'target_is_minimal': False, 'target_label': '2736.2.a.k.1.1', 'target_level': 2736, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47269833
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631104, 'source_is_minimal': False, 'source_label': '1216.2.a.l.1.1', 'source_level': 1216, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797778776, 'target_is_minimal': False, 'target_label': '1368.2.a.g.1.1', 'target_level': 1368, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47269834
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631104, 'source_is_minimal': False, 'source_label': '1216.2.a.l.1.1', 'source_level': 1216, 'target_conrey_index': 3649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518204328840920, 'target_is_minimal': False, 'target_label': '3800.2.d.f.3649.2', 'target_level': 3800, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47269835
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631104, 'source_is_minimal': False, 'source_label': '1216.2.a.l.1.1', 'source_level': 1216, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915669720, 'target_is_minimal': False, 'target_label': '3800.2.a.d.1.1', 'target_level': 3800, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47269836
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631104, 'source_is_minimal': False, 'source_label': '1216.2.a.l.1.1', 'source_level': 1216, 'target_conrey_index': 3649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518204328840920, 'target_is_minimal': False, 'target_label': '3800.2.d.f.3649.1', 'target_level': 3800, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 47269837
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631104, 'source_is_minimal': False, 'source_label': '1216.2.a.l.1.1', 'source_level': 1216, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816748976, 'target_is_minimal': False, 'target_label': '7600.2.a.o.1.1', 'target_level': 7600, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 47269838
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631104, 'source_is_minimal': False, 'source_label': '1216.2.a.l.1.1', 'source_level': 1216, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797784856, 'target_is_minimal': False, 'target_label': '7448.2.a.g.1.1', 'target_level': 7448, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '56.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 47269839
{'conductor': 152, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631104, 'source_is_minimal': False, 'source_label': '1216.2.a.l.1.1', 'source_level': 1216, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934635664, 'target_is_minimal': False, 'target_label': '5776.2.a.l.1.1', 'target_level': 5776, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '152.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 47269840
{'conductor': 152, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631104, 'source_is_minimal': False, 'source_label': '1216.2.a.l.1.1', 'source_level': 1216, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660927816, 'target_is_minimal': False, 'target_label': '2888.2.a.b.1.1', 'target_level': 2888, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '152.75', 'twisting_conrey_index': 75, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1774225
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 2}
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id: 1774226
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 3}
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id: 1774227
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 5}
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id: 1774228
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 7}
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id: 1774229
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 11}
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id: 1774230
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 13}
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id: 1774231
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 17}
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id: 1774232
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 19}
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id: 1774233
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 23}
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id: 1774234
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 29}
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id: 1774235
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 31}
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id: 1774236
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 37}
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id: 1774237
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 41}
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id: 1774238
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 43}
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id: 1774239
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 47}
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id: 1774240
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 53}
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id: 1774241
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 59}
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id: 1774242
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 61}
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id: 1774243
{'charpoly_factorization': [[[-13, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 67}
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id: 1774244
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 71}
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id: 1774245
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 73}
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id: 1774246
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 79}
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id: 1774247
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 83}
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id: 1774248
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 89}
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id: 1774249
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 49539595934631104, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '1216.2.a.l', 'level': 1216, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 215785000
{'hecke_orbit_code': 49539595934631104, 'n': 1, 'trace_an': 1}
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id: 215785001
{'hecke_orbit_code': 49539595934631104, 'n': 2, 'trace_an': 0}
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id: 215785002
{'hecke_orbit_code': 49539595934631104, 'n': 3, 'trace_an': 1}
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id: 215785003
{'hecke_orbit_code': 49539595934631104, 'n': 4, 'trace_an': 0}
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id: 215785004
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