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mf_newforms • Show schema
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{'Nk2': 12996, 'analytic_conductor': 25.943395616713996, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 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': [3249, 1, [362, 2890], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 27648, 'field_disc_factorization': [[2, 10], [3, 3]], 'field_poly': [3, 0, -6, 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, [3, 0, -6, 0, 1]], [5, [12, 0, -12, 0, 1]], [13, [-1, 1]]], 'hecke_orbit': 31, 'hecke_orbit_code': 135107988854672561, 'hecke_ring_generator_nbound': 2, '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, 3, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3249.2.a.be', 'level': 3249, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 19], 'level_radical': 57, 'minimal_twist': '171.2.f.c', 'nf_label': '4.4.27648.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}-\\beta _{3}q^{5}+(-1+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3249.2.a', 'trace_display': [0, 0, 0, -4], 'trace_hash': 1021224018001019560, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.096', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [23, 33, 41, 36], 'ALdims_eis_new': [0, 0, 8, 9], 'ALdims_eis_old': [19, 20, 12, 11], 'ALdims_old': [58, 57, 49, 44], 'Nk2': 12996, 'analytic_conductor': 25.943395616713996, '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': [3249, 1, [362, 2890], [1, 1]], 'conrey_index': 1, 'cusp_dim': 341, 'dim': 133, 'eis_dim': 79, 'eis_new_dim': 17, 'hecke_cutter_primes': [2, 5, 13], 'hecke_orbit_code': 33557681, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8], 'label': '3249.2.a', 'level': 3249, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 19], 'level_radical': 57, 'mf_dim': 420, 'mf_new_dim': 150, 'num_forms': 40, 'plus_dim': 59, 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0, 136, 33, 0, 320, 48, 0, 154, -308, 0, 130, -6, 0, 156, 32, 0, 4, -84, 0, -254, -148, 0, 0, 20, 0, -110, 40, 0, 12, 478, 0, 50, 88, 0, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1071656
{'conductor': 19, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '3249.2.a.be', 'source_level': 3249, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '171.2.f.c', 'target_level': 171, 'twist_class_label': '171.2.f.c', 'twist_class_level': 171, 'twisting_char_label': '19.d', 'twisting_char_orbit': 4, 'weight': 2}
-
id: 1071657
{'conductor': 57, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '3249.2.a.be', 'source_level': 3249, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '171.2.f.c', 'target_level': 171, 'twist_class_label': '171.2.f.c', 'twist_class_level': 171, 'twisting_char_label': '57.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1071658
{'conductor': 76, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '3249.2.a.be', 'source_level': 3249, 'target_char_orbit': 19, 'target_dim': 8, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '2736.2.s.bb', 'target_level': 2736, 'twist_class_label': '171.2.f.c', 'twist_class_level': 171, 'twisting_char_label': '76.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1071659
{'conductor': 228, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '3249.2.a.be', 'source_level': 3249, 'target_char_orbit': 19, 'target_dim': 8, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '2736.2.s.bb', 'target_level': 2736, 'twist_class_label': '171.2.f.c', 'twist_class_level': 171, 'twisting_char_label': '228.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1071660
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '3249.2.a.be', 'source_level': 3249, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '3249.2.a.bd', 'target_level': 3249, 'twist_class_label': '171.2.f.c', 'twist_class_level': 171, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1071661
{'conductor': 57, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '3249.2.a.be', 'source_level': 3249, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '3249.2.a.bd', 'target_level': 3249, 'twist_class_label': '171.2.f.c', 'twist_class_level': 171, 'twisting_char_label': '57.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1071662
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '3249.2.a.be', 'source_level': 3249, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '3249.2.a.be', 'target_level': 3249, 'twist_class_label': '171.2.f.c', 'twist_class_level': 171, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1071663
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '3249.2.a.be', 'source_level': 3249, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '3249.2.a.be', 'target_level': 3249, 'twist_class_label': '171.2.f.c', 'twist_class_level': 171, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3082725
{'charpoly_factorization': [[[3, 0, -6, 0, 1], 1]], 'hecke_orbit_code': 135107988854672561, 'p': 2}
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id: 3082726
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 135107988854672561, 'p': 3}
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id: 3082727
{'charpoly_factorization': [[[12, 0, -12, 0, 1], 1]], 'hecke_orbit_code': 135107988854672561, 'p': 5}
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id: 3082728
{'charpoly_factorization': [[[-5, 2, 1], 2]], 'hecke_orbit_code': 135107988854672561, 'p': 7}
-
id: 3082729
{'charpoly_factorization': [[[108, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 135107988854672561, 'p': 11}
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id: 3082730
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 135107988854672561, 'p': 13}
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id: 3082731
{'charpoly_factorization': [[[192, 0, -48, 0, 1], 1]], 'hecke_orbit_code': 135107988854672561, 'p': 17}
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id: 3082732
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 135107988854672561, 'p': 19}
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id: 3082733
{'charpoly_factorization': [[[300, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 135107988854672561, 'p': 23}
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id: 3082734
{'charpoly_factorization': [[[4800, 0, -144, 0, 1], 1]], 'hecke_orbit_code': 135107988854672561, 'p': 29}
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id: 3082735
{'charpoly_factorization': [[[43, -14, 1], 2]], 'hecke_orbit_code': 135107988854672561, 'p': 31}
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id: 3082736
{'charpoly_factorization': [[[-23, -2, 1], 2]], 'hecke_orbit_code': 135107988854672561, 'p': 37}
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id: 3082737
{'charpoly_factorization': [[[768, 0, -96, 0, 1], 1]], 'hecke_orbit_code': 135107988854672561, 'p': 41}
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id: 3082738
{'charpoly_factorization': [[[-53, 2, 1], 2]], 'hecke_orbit_code': 135107988854672561, 'p': 43}
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id: 3082739
{'charpoly_factorization': [[[768, 0, -96, 0, 1], 1]], 'hecke_orbit_code': 135107988854672561, 'p': 47}
-
id: 3082740
{'charpoly_factorization': [[[12, 0, -12, 0, 1], 1]], 'hecke_orbit_code': 135107988854672561, 'p': 53}
-
id: 3082741
{'charpoly_factorization': [[[4332, 0, -132, 0, 1], 1]], 'hecke_orbit_code': 135107988854672561, 'p': 59}
-
id: 3082742
{'charpoly_factorization': [[[-5, 1], 4]], 'hecke_orbit_code': 135107988854672561, 'p': 61}
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id: 3082743
{'charpoly_factorization': [[[-5, -14, 1], 2]], 'hecke_orbit_code': 135107988854672561, 'p': 67}
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id: 3082744
{'charpoly_factorization': [[[4800, 0, -144, 0, 1], 1]], 'hecke_orbit_code': 135107988854672561, 'p': 71}
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id: 3082745
{'charpoly_factorization': [[[-5, 1], 4]], 'hecke_orbit_code': 135107988854672561, 'p': 73}
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id: 3082746
{'charpoly_factorization': [[[-5, -14, 1], 2]], 'hecke_orbit_code': 135107988854672561, 'p': 79}
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id: 3082747
{'charpoly_factorization': [[[1728, 0, -144, 0, 1], 1]], 'hecke_orbit_code': 135107988854672561, 'p': 83}
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id: 3082748
{'charpoly_factorization': [[[7500, 0, -300, 0, 1], 1]], 'hecke_orbit_code': 135107988854672561, 'p': 89}
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id: 3082749
{'charpoly_factorization': [[[40, 16, 1], 2]], 'hecke_orbit_code': 135107988854672561, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 31, 'label': '3249.2.a.be', 'level': 3249, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68486593
{'hecke_orbit_code': 135107988854672561, 'n': 1, 'trace_an': 4}
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id: 68486594
{'hecke_orbit_code': 135107988854672561, 'n': 2, 'trace_an': 0}
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id: 68486595
{'hecke_orbit_code': 135107988854672561, 'n': 3, 'trace_an': 0}
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id: 68486596
{'hecke_orbit_code': 135107988854672561, 'n': 4, 'trace_an': 4}
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id: 68486597
{'hecke_orbit_code': 135107988854672561, 'n': 5, 'trace_an': 0}
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id: 68486598
{'hecke_orbit_code': 135107988854672561, 'n': 6, 'trace_an': 0}
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id: 68486599
{'hecke_orbit_code': 135107988854672561, 'n': 7, 'trace_an': -4}
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id: 68486600
{'hecke_orbit_code': 135107988854672561, 'n': 8, 'trace_an': 0}
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id: 68486601
{'hecke_orbit_code': 135107988854672561, 'n': 9, 'trace_an': 0}
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id: 68486602
{'hecke_orbit_code': 135107988854672561, 'n': 10, 'trace_an': 0}
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