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mf_newforms • Show schema
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{'Nk2': 451, 'analytic_conductor': 0.22507832069748407, 'analytic_rank': 0, 'analytic_rank_proved': True, 'artin_degree': 12, 'artin_field': [3, 4, 6, -4, 4, -2, 1], 'artin_field_label': '6.0.2237411.1', 'artin_image': '12.4', 'char_conductor': 451, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [451, 2, [288, 375], [1, 1]], 'cm_discs': [-451], 'conrey_index': 450, 'conrey_indexes': [450], 'dim': 1, 'embedded_related_objects': [['ArtinRepresentation/2.11_41.6t3.1c1']], '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, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503668363624899, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 451, 2, -1, 2, -451]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '451.1.b.b', 'level': 451, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [11, 41], 'level_radical': 451, 'minimal_twist': '451.1.b.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 2, 'projective_field': [8, -5, -1, 1], 'projective_field_label': '3.1.451.1', 'projective_image': 'D3', 'projective_image_type': 'Dn', 'qexp_display': 'q+q^{4}-q^{5}+q^{7}+q^{9}-q^{11}-2q^{13}+\\cdots', 'related_objects': ['ArtinRepresentation/2.11_41.6t3.1'], 'relative_dim': 1, 'rm_discs': [], 'self_twist_discs': [-451], 'self_twist_type': 1, 'space_label': '451.1.b', 'trace_display': [0, 0, -1, 1], 'trace_hash': 2184085729800457467, 'trace_moments': [{'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [1], [-1], [0], [1], [0], [1], [0], [-1], [0], [-2], [0], [0], [1], [1], [0], [1], [-1], [0], [0], [-1], [0], [0], [0], [0], [1], [1], [0], [-1], [0], [0], [0], [-1], [1], [-1], [0], [0], [0], [-1], [0], [0], [-1], [-1], [0], [0], [0], [0], [0], [0], [-2], [0], [0], [1], [0], [0], [0], [-1], [0], [0], [0], [1], [1], [2], [0], [0], [1], [0], [0], [0], [0], [0], [0], [0], [1], [-1], [0], [-2], [-1], [1], [0], [0], [0], [-1], [0], [0], [0], [0], [0], [-2], [-1], [0], [0], [-1], [0], [0], [0], [-1], [0]], 'ap': [[0], [0], [-1], [1], [-1], [-2], [1], [1], [-1], [1], [-1], [-1], [-1], [0], [0], [0], [-1], [0], [0], [0], [0], [-2], [0], [0], [0], [1], [-1], [0], [1], [2], [0], [0], [0], [0], [1], [1], [0], [-1], [1], [0], [0], [0], [0], [1], [0], [0], [1], [2], [-2], [0], [-2], [1], [0], [-1], [0], [-2], [2], [0], [0], [-2], [0], [1], [0], [0], [0], [0], [0], [0], [1], [0], [2], [0], [-1], [0], [-1], [0], [-1], [0], [-1], [0], [2], [0], [0], [-1], [-2], [-1], [-1], [1], [0], [0], [2], [-2], [2], [0], [0], [1], [0], [0], [0], [0], [1], [-2], [1], [0], [-2], [0], [0], [1], [-1], [1], [0], [0], [-1], [2], [-1], [0], [0], [2], [0], [1], [-1], [1], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-1], [1], [0], [0], [0], [1], [-1], [0], [0], [0], [-1], [-1], [0], [-1], [0], [-2], [-1], [-1], [1], [0], [1], [0], [-1], [0], [-2], [0], [0], [2], [0], [1], [0], [0], [1], [2], [1], [0], [0], [0], [-2], [-1], [1], [-2], [2], [0], [0], [0], [-1], [-1], [0], [-1], [1], [1], [-1], [-2], [2], [-1], [0], [-1], [-2], [0], [1], [-2], [0], [0], [0], [-2], [0], [0], [-1], [1], [0], [-1], [-2], [0], [2], [-1], [1], [2], [1], [0], [0], [2], [1], [0], [0], [0], [0], [1], [-1], [-1], [1], [0], [-1], [1], [0], [0], [0], [-2], [0], [1], [-1], [0], [0], [1], [0], [-1], [0], [0], [2], [0], [0], [0], [0], [0], [2], [-1], [1], [0], [0], [1], [0], [1], [0], [1], [1], [1], [-1], [-1], [0], [-1], [0], [1], [0], [2], [2], [0], [1], [-1], [0], [1], [-2], [-2], [-2], [0], [0], [0], [-2], [0], [0], [0], [0], [1], [0], [-1], [1], [0], [1], [1], [0], [2], [1], [-2], [0], [1], [0]], 'char_orbit_index': 2, 'field_poly': [0, 1], 'hecke_orbit_code': 4503668363624899, 'hecke_ring_character_values': [[288, [-1]], [375, [-1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '451.1.b.b', 'level': 451, 'maxp': 1999, 'weight': 1}
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mf_newspaces • Show schema
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{'Nk2': 451, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.22507832069748407, 'char_conductor': 451, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [451, 2, [288, 375], [1, 1]], 'conrey_index': 450, 'cusp_dim': 2, 'dihedral_dim': 2, 'dim': 2, 'eis_dim': 2, 'eis_new_dim': 2, 'hecke_orbit_code': 68736254403, 'hecke_orbit_dims': [1, 1], 'label': '451.1.b', 'level': 451, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [11, 41], 'level_radical': 451, 'mf_dim': 4, 'mf_new_dim': 4, 'num_forms': 2, 'prim_orbit_index': 2, 'relative_dim': 2, 's4_dim': 0, 'sturm_bound': 42, 'trace_bound': 7, 'trace_display': [0, 0, -2, 0], 'traces': [2, 0, 0, 2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 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mf_twists_nf • Show schema
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id: 334160
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '451.1.b.b', 'source_level': 451, 'target_char_orbit': 2, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '451.1.b.a', 'target_level': 451, 'twist_class_label': '451.1.b.a', 'twist_class_level': 451, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 334161
{'conductor': 41, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '451.1.b.b', 'source_level': 451, 'target_char_orbit': 2, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '451.1.b.a', 'target_level': 451, 'twist_class_label': '451.1.b.a', 'twist_class_level': 451, 'twisting_char_label': '41.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 334162
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '451.1.b.b', 'source_level': 451, 'target_char_orbit': 2, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '451.1.b.b', 'target_level': 451, 'twist_class_label': '451.1.b.a', 'twist_class_level': 451, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 1}
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id: 334163
{'conductor': 451, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -451, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '451.1.b.b', 'source_level': 451, 'target_char_orbit': 2, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '451.1.b.b', 'target_level': 451, 'twist_class_label': '451.1.b.a', 'twist_class_level': 451, 'twisting_char_label': '451.b', 'twisting_char_orbit': 2, 'weight': 1}
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mf_hecke_charpolys • Show schema
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id: 915375
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 2}
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id: 915376
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 3}
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id: 915377
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 5}
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id: 915378
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 7}
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id: 915379
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 11}
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id: 915380
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 13}
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id: 915381
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 17}
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id: 915382
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 19}
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id: 915383
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 23}
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id: 915384
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 29}
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id: 915385
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 31}
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id: 915386
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 37}
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id: 915387
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 41}
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id: 915388
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 43}
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id: 915389
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 47}
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id: 915390
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 53}
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id: 915391
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 59}
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id: 915392
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 61}
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id: 915393
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 67}
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id: 915394
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 71}
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id: 915395
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 73}
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id: 915396
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 79}
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id: 915397
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 83}
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id: 915398
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 89}
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id: 915399
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503668363624899, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 2, 'label': '451.1.b.b', 'level': 451, 'portrait': 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', 'weight': 1}
-
mf_hecke_traces • Show schema
Hide schema
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id: 78421000
{'hecke_orbit_code': 4503668363624899, 'n': 1, 'trace_an': 1}
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id: 78421001
{'hecke_orbit_code': 4503668363624899, 'n': 2, 'trace_an': 0}
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id: 78421002
{'hecke_orbit_code': 4503668363624899, 'n': 3, 'trace_an': 0}
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id: 78421003
{'hecke_orbit_code': 4503668363624899, 'n': 4, 'trace_an': 1}
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id: 78421004
{'hecke_orbit_code': 4503668363624899, 'n': 5, 'trace_an': -1}
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id: 78421005
{'hecke_orbit_code': 4503668363624899, 'n': 6, 'trace_an': 0}
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id: 78421006
{'hecke_orbit_code': 4503668363624899, 'n': 7, 'trace_an': 1}
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id: 78421007
{'hecke_orbit_code': 4503668363624899, 'n': 8, 'trace_an': 0}
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id: 78421008
{'hecke_orbit_code': 4503668363624899, 'n': 9, 'trace_an': 1}
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id: 78421009
{'hecke_orbit_code': 4503668363624899, 'n': 10, 'trace_an': 0}
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id: 78421010
{'hecke_orbit_code': 4503668363624899, 'n': 11, 'trace_an': -1}
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id: 78421011
{'hecke_orbit_code': 4503668363624899, 'n': 12, 'trace_an': 0}
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id: 78421012
{'hecke_orbit_code': 4503668363624899, 'n': 13, 'trace_an': -2}
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id: 78421013
{'hecke_orbit_code': 4503668363624899, 'n': 14, 'trace_an': 0}
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id: 78421014
{'hecke_orbit_code': 4503668363624899, 'n': 15, 'trace_an': 0}
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id: 78421015
{'hecke_orbit_code': 4503668363624899, 'n': 16, 'trace_an': 1}
-
id: 78421016
{'hecke_orbit_code': 4503668363624899, 'n': 17, 'trace_an': 1}
-
id: 78421017
{'hecke_orbit_code': 4503668363624899, 'n': 18, 'trace_an': 0}
-
id: 78421018
{'hecke_orbit_code': 4503668363624899, 'n': 19, 'trace_an': 1}
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