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{'Nk2': 7500, 'analytic_conductor': 14.971950378990073, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -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': [1875, 1, [626, 1252], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, -1, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288297299, 'hecke_ring_generator_nbound': 2, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1875.2.a.c', 'level': 1875, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '1875.2.a.b', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{2}+q^{3}+(-1+\\beta )q^{4}+\\beta q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1875.2.a', 'trace_display': [1, 2, 0, -4], 'trace_hash': 975885537271402932, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.841', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.217', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1]], 14, 3], [[[3, 1], [5, 1]], 18, 5], [[[3, 1], [5, -1]], 22, 3], [[[3, -1], [5, 1]], 26, 5]], 'ALdims': [18, 22, 26, 14], 'Nk2': 7500, 'analytic_conductor': 14.971950378990073, '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': [1875, 1, [626, 1252], [1, 1]], 'conrey_index': 1, 'cusp_dim': 221, 'dim': 80, 'eis_dim': 59, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33556307, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8], 'label': '1875.2.a', 'level': 1875, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 280, 'mf_new_dim': 80, 'num_forms': 16, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 80, 'sturm_bound': 500, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 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mf_twists_cc • Show schema
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id: 40126587
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288297299, 'source_is_minimal': True, 'source_label': '1875.2.a.c.1.1', 'source_level': 1875, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288297299, 'target_is_minimal': True, 'target_label': '1875.2.a.c.1.1', 'target_level': 1875, 'twist_class_label': '1875.2.a.b.1.2', 'twist_class_level': 1875, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40126588
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288297299, 'source_is_minimal': True, 'source_label': '1875.2.a.c.1.1', 'source_level': 1875, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599660930553, 'target_is_minimal': False, 'target_label': '5625.2.a.b.1.2', 'target_level': 5625, 'twist_class_label': '1875.2.a.b.1.2', 'twist_class_level': 1875, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40126589
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288297299, 'source_is_minimal': True, 'source_label': '1875.2.a.c.1.1', 'source_level': 1875, 'target_conrey_index': 1249, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68753033043, 'target_is_minimal': False, 'target_label': '1875.2.b.a.1249.2', 'target_level': 1875, 'twist_class_label': '1875.2.a.b.1.2', 'twist_class_level': 1875, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40126590
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288297299, 'source_is_minimal': True, 'source_label': '1875.2.a.c.1.1', 'source_level': 1875, 'target_conrey_index': 1249, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 68753033043, 'target_is_minimal': False, 'target_label': '1875.2.b.a.1249.3', 'target_level': 1875, 'twist_class_label': '1875.2.a.b.1.2', 'twist_class_level': 1875, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40126591
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288297299, 'source_is_minimal': True, 'source_label': '1875.2.a.c.1.1', 'source_level': 1875, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599660926803, 'target_is_minimal': True, 'target_label': '1875.2.a.b.1.2', 'target_level': 1875, 'twist_class_label': '1875.2.a.b.1.2', 'twist_class_level': 1875, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40126592
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288297299, 'source_is_minimal': True, 'source_label': '1875.2.a.c.1.1', 'source_level': 1875, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797783033, 'target_is_minimal': False, 'target_label': '5625.2.a.g.1.1', 'target_level': 5625, 'twist_class_label': '1875.2.a.b.1.2', 'twist_class_level': 1875, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2271425
{'charpoly_factorization': [[[-1, -1, 1], 1]], 'hecke_orbit_code': 9007199288297299, 'p': 2}
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id: 2271426
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 9007199288297299, 'p': 3}
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id: 2271427
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007199288297299, 'p': 5}
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id: 2271428
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 9007199288297299, 'p': 7}
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id: 2271429
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 9007199288297299, 'p': 11}
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id: 2271430
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 9007199288297299, 'p': 13}
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id: 2271431
{'charpoly_factorization': [[[-1, 4, 1], 1]], 'hecke_orbit_code': 9007199288297299, 'p': 17}
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id: 2271432
{'charpoly_factorization': [[[-45, 0, 1], 1]], 'hecke_orbit_code': 9007199288297299, 'p': 19}
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id: 2271433
{'charpoly_factorization': [[[41, -13, 1], 1]], 'hecke_orbit_code': 9007199288297299, 'p': 23}
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id: 2271434
{'charpoly_factorization': [[[5, 5, 1], 1]], 'hecke_orbit_code': 9007199288297299, 'p': 29}
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id: 2271435
{'charpoly_factorization': [[[-41, -4, 1], 1]], 'hecke_orbit_code': 9007199288297299, 'p': 31}
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id: 2271436
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 9007199288297299, 'p': 37}
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id: 2271437
{'charpoly_factorization': [[[109, 21, 1], 1]], 'hecke_orbit_code': 9007199288297299, 'p': 41}
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id: 2271438
{'charpoly_factorization': [[[71, 17, 1], 1]], 'hecke_orbit_code': 9007199288297299, 'p': 43}
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id: 2271439
{'charpoly_factorization': [[[44, 14, 1], 1]], 'hecke_orbit_code': 9007199288297299, 'p': 47}
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id: 2271440
{'charpoly_factorization': [[[76, -18, 1], 1]], 'hecke_orbit_code': 9007199288297299, 'p': 53}
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id: 2271441
{'charpoly_factorization': [[[-55, 10, 1], 1]], 'hecke_orbit_code': 9007199288297299, 'p': 59}
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id: 2271442
{'charpoly_factorization': [[[-41, -4, 1], 1]], 'hecke_orbit_code': 9007199288297299, 'p': 61}
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id: 2271443
{'charpoly_factorization': [[[-121, 4, 1], 1]], 'hecke_orbit_code': 9007199288297299, 'p': 67}
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id: 2271444
{'charpoly_factorization': [[[-11, -9, 1], 1]], 'hecke_orbit_code': 9007199288297299, 'p': 71}
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id: 2271445
{'charpoly_factorization': [[[36, -18, 1], 1]], 'hecke_orbit_code': 9007199288297299, 'p': 73}
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id: 2271446
{'charpoly_factorization': [[[145, 25, 1], 1]], 'hecke_orbit_code': 9007199288297299, 'p': 79}
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id: 2271447
{'charpoly_factorization': [[[-9, 1], 2]], 'hecke_orbit_code': 9007199288297299, 'p': 83}
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id: 2271448
{'charpoly_factorization': [[[-125, 0, 1], 1]], 'hecke_orbit_code': 9007199288297299, 'p': 89}
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id: 2271449
{'charpoly_factorization': [[[-11, -1, 1], 1]], 'hecke_orbit_code': 9007199288297299, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '1875.2.a.c', 'level': 1875, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 102405000
{'hecke_orbit_code': 9007199288297299, 'n': 1, 'trace_an': 2}
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id: 102405001
{'hecke_orbit_code': 9007199288297299, 'n': 2, 'trace_an': 1}
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id: 102405002
{'hecke_orbit_code': 9007199288297299, 'n': 3, 'trace_an': 2}
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id: 102405003
{'hecke_orbit_code': 9007199288297299, 'n': 4, 'trace_an': -1}
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id: 102405004
{'hecke_orbit_code': 9007199288297299, 'n': 5, 'trace_an': 0}
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id: 102405005
{'hecke_orbit_code': 9007199288297299, 'n': 6, 'trace_an': 1}
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id: 102405006
{'hecke_orbit_code': 9007199288297299, 'n': 7, 'trace_an': -4}
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id: 102405007
{'hecke_orbit_code': 9007199288297299, 'n': 8, 'trace_an': 0}
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id: 102405008
{'hecke_orbit_code': 9007199288297299, 'n': 9, 'trace_an': 2}
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id: 102405009
{'hecke_orbit_code': 9007199288297299, 'n': 10, 'trace_an': 0}
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id: 102405010
{'hecke_orbit_code': 9007199288297299, 'n': 11, 'trace_an': -6}
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id: 102405011
{'hecke_orbit_code': 9007199288297299, 'n': 12, 'trace_an': -1}
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id: 102405012
{'hecke_orbit_code': 9007199288297299, 'n': 13, 'trace_an': -2}
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id: 102405013
{'hecke_orbit_code': 9007199288297299, 'n': 14, 'trace_an': -2}
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id: 102405014
{'hecke_orbit_code': 9007199288297299, 'n': 15, 'trace_an': 0}
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id: 102405015
{'hecke_orbit_code': 9007199288297299, 'n': 16, 'trace_an': -3}
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id: 102405016
{'hecke_orbit_code': 9007199288297299, 'n': 17, 'trace_an': -4}
-
id: 102405017
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