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mf_newforms • Show schema
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{'Nk2': 12996, 'analytic_conductor': 25.943395616713996, 'analytic_rank': 1, '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': 30, 'hecke_orbit_code': 130604389227302065, '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.bd', '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': 2195213918168149222, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • 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: 1071648
{'conductor': 19, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '3249.2.a.bd', '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.c', 'twisting_char_orbit': 3, 'weight': 2}
-
id: 1071649
{'conductor': 57, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '3249.2.a.bd', '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.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1071650
{'conductor': 76, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '3249.2.a.bd', '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.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1071651
{'conductor': 228, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '3249.2.a.bd', '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.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 1071652
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '3249.2.a.bd', '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': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1071653
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '3249.2.a.bd', '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': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1071654
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '3249.2.a.bd', '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': '19.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1071655
{'conductor': 57, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '3249.2.a.bd', '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': '57.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3082700
{'charpoly_factorization': [[[3, 0, -6, 0, 1], 1]], 'hecke_orbit_code': 130604389227302065, 'p': 2}
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id: 3082701
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 130604389227302065, 'p': 3}
-
id: 3082702
{'charpoly_factorization': [[[12, 0, -12, 0, 1], 1]], 'hecke_orbit_code': 130604389227302065, 'p': 5}
-
id: 3082703
{'charpoly_factorization': [[[-5, 2, 1], 2]], 'hecke_orbit_code': 130604389227302065, 'p': 7}
-
id: 3082704
{'charpoly_factorization': [[[108, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 130604389227302065, 'p': 11}
-
id: 3082705
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 130604389227302065, 'p': 13}
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id: 3082706
{'charpoly_factorization': [[[192, 0, -48, 0, 1], 1]], 'hecke_orbit_code': 130604389227302065, 'p': 17}
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id: 3082707
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 130604389227302065, 'p': 19}
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id: 3082708
{'charpoly_factorization': [[[300, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 130604389227302065, 'p': 23}
-
id: 3082709
{'charpoly_factorization': [[[4800, 0, -144, 0, 1], 1]], 'hecke_orbit_code': 130604389227302065, 'p': 29}
-
id: 3082710
{'charpoly_factorization': [[[43, 14, 1], 2]], 'hecke_orbit_code': 130604389227302065, 'p': 31}
-
id: 3082711
{'charpoly_factorization': [[[-23, 2, 1], 2]], 'hecke_orbit_code': 130604389227302065, 'p': 37}
-
id: 3082712
{'charpoly_factorization': [[[768, 0, -96, 0, 1], 1]], 'hecke_orbit_code': 130604389227302065, 'p': 41}
-
id: 3082713
{'charpoly_factorization': [[[-53, 2, 1], 2]], 'hecke_orbit_code': 130604389227302065, 'p': 43}
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id: 3082714
{'charpoly_factorization': [[[768, 0, -96, 0, 1], 1]], 'hecke_orbit_code': 130604389227302065, 'p': 47}
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id: 3082715
{'charpoly_factorization': [[[12, 0, -12, 0, 1], 1]], 'hecke_orbit_code': 130604389227302065, 'p': 53}
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id: 3082716
{'charpoly_factorization': [[[4332, 0, -132, 0, 1], 1]], 'hecke_orbit_code': 130604389227302065, 'p': 59}
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id: 3082717
{'charpoly_factorization': [[[-5, 1], 4]], 'hecke_orbit_code': 130604389227302065, 'p': 61}
-
id: 3082718
{'charpoly_factorization': [[[-5, 14, 1], 2]], 'hecke_orbit_code': 130604389227302065, 'p': 67}
-
id: 3082719
{'charpoly_factorization': [[[4800, 0, -144, 0, 1], 1]], 'hecke_orbit_code': 130604389227302065, 'p': 71}
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id: 3082720
{'charpoly_factorization': [[[-5, 1], 4]], 'hecke_orbit_code': 130604389227302065, 'p': 73}
-
id: 3082721
{'charpoly_factorization': [[[-5, 14, 1], 2]], 'hecke_orbit_code': 130604389227302065, 'p': 79}
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id: 3082722
{'charpoly_factorization': [[[1728, 0, -144, 0, 1], 1]], 'hecke_orbit_code': 130604389227302065, 'p': 83}
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id: 3082723
{'charpoly_factorization': [[[7500, 0, -300, 0, 1], 1]], 'hecke_orbit_code': 130604389227302065, 'p': 89}
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id: 3082724
{'charpoly_factorization': [[[40, -16, 1], 2]], 'hecke_orbit_code': 130604389227302065, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 30, 'label': '3249.2.a.bd', 'level': 3249, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 68188087
{'hecke_orbit_code': 130604389227302065, 'n': 1, 'trace_an': 4}
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id: 68188088
{'hecke_orbit_code': 130604389227302065, 'n': 2, 'trace_an': 0}
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id: 68188089
{'hecke_orbit_code': 130604389227302065, 'n': 3, 'trace_an': 0}
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id: 68188090
{'hecke_orbit_code': 130604389227302065, 'n': 4, 'trace_an': 4}
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id: 68188091
{'hecke_orbit_code': 130604389227302065, 'n': 5, 'trace_an': 0}
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id: 68188092
{'hecke_orbit_code': 130604389227302065, 'n': 6, 'trace_an': 0}
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id: 68188093
{'hecke_orbit_code': 130604389227302065, 'n': 7, 'trace_an': -4}
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id: 68188094
{'hecke_orbit_code': 130604389227302065, 'n': 8, 'trace_an': 0}
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id: 68188095
{'hecke_orbit_code': 130604389227302065, 'n': 9, 'trace_an': 0}
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id: 68188096
{'hecke_orbit_code': 130604389227302065, 'n': 10, 'trace_an': 0}
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id: 68188097
{'hecke_orbit_code': 130604389227302065, 'n': 11, 'trace_an': 0}
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id: 68188098
{'hecke_orbit_code': 130604389227302065, 'n': 12, 'trace_an': 0}
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id: 68188099
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