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mf_newforms • Show schema
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{'Nk2': 2184, 'analytic_conductor': 4.359831950361909, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 3, 'char_parity': 1, 'char_values': [546, 3, [365, 157, 379], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 211, 'dim': 4, 'field_disc': 3249, 'field_disc_factorization': [[3, 2], [19, 2]], 'field_poly': [25, -5, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [-14, -1, 1]], [11, [16, -4, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40533152594133538, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '546.2.l.j', 'level': 546, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '546.2.l.j', 'nf_label': '4.0.3249.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{1}q^{2}+\\beta _{1}q^{3}+(-1-\\beta _{1})q^{4}+\\beta _{2}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '546.2.l', 'trace_display': [-2, -2, 2, -2], 'trace_hash': 728133863826607111, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.802', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.959', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
Hide schema
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'546.2.l.j.211.2', 'level': 546, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2184, 'analytic_conductor': 4.359831950361909, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 3, 'char_parity': 1, 'char_values': [546, 3, [365, 157, 379], [3, 3, 1]], 'conrey_index': 211, 'cusp_dim': 208, 'dim': 32, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 755947799074, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], 'label': '546.2.l', 'level': 546, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 240, 'mf_new_dim': 32, 'num_forms': 12, 'prim_orbit_index': 3, 'relative_dim': 16, 'sturm_bound': 224, 'trace_bound': 11, 'trace_display': [-4, 0, -8, 0], 'traces': [32, -4, 0, -16, -8, 0, 0, 8, -16, 4, 8, 0, 4, 0, 8, -16, 12, 8, -16, 4, 0, -8, 8, 0, 40, -20, 0, 0, 4, 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mf_twists_cc • Show schema
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id: 46993150
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533152594133538, 'source_is_minimal': True, 'source_label': '546.2.l.j.211.2', 'source_level': 546, 'target_conrey_index': 211, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40533152594133538, 'target_is_minimal': True, 'target_label': '546.2.l.j.211.2', 'target_level': 546, 'twist_class_label': '546.2.l.j.211.2', 'twist_class_level': 546, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46993151
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533152594133538, 'source_is_minimal': True, 'source_label': '546.2.l.j.211.2', 'source_level': 546, 'target_conrey_index': 757, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103583959694181990, 'target_is_minimal': False, 'target_label': '1638.2.r.x.757.1', 'target_level': 1638, 'twist_class_label': '546.2.l.j.211.2', 'twist_class_level': 546, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46993152
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533152594133538, 'source_is_minimal': True, 'source_label': '546.2.l.j.211.2', 'source_level': 546, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 234187180656827322, 'target_is_minimal': False, 'target_label': '7098.2.a.ca.1.2', 'target_level': 7098, 'twist_class_label': '546.2.l.j.211.2', 'twist_class_level': 546, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46993153
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533152594133538, 'source_is_minimal': True, 'source_label': '546.2.l.j.211.2', 'source_level': 546, 'target_conrey_index': 295, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40533152594133538, 'target_is_minimal': True, 'target_label': '546.2.l.j.295.2', 'target_level': 546, 'twist_class_label': '546.2.l.j.211.2', 'twist_class_level': 546, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 46993154
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533152594133538, 'source_is_minimal': True, 'source_label': '546.2.l.j.211.2', 'source_level': 546, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 171136785873640378, 'target_is_minimal': False, 'target_label': '7098.2.a.bm.1.1', 'target_level': 7098, 'twist_class_label': '546.2.l.j.211.2', 'twist_class_level': 546, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 46993155
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533152594133538, 'source_is_minimal': True, 'source_label': '546.2.l.j.211.2', 'source_level': 546, 'target_conrey_index': 1387, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103583959694181990, 'target_is_minimal': False, 'target_label': '1638.2.r.x.1387.1', 'target_level': 1638, 'twist_class_label': '546.2.l.j.211.2', 'twist_class_level': 546, 'twisting_char_label': '39.35', 'twisting_conrey_index': 35, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1030400
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 40533152594133538, 'p': 2}
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id: 1030401
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 40533152594133538, 'p': 3}
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id: 1030402
{'charpoly_factorization': [[[-14, -1, 1], 2]], 'hecke_orbit_code': 40533152594133538, 'p': 5}
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id: 1030403
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 40533152594133538, 'p': 7}
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id: 1030404
{'charpoly_factorization': [[[16, -4, 1], 2]], 'hecke_orbit_code': 40533152594133538, 'p': 11}
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id: 1030405
{'charpoly_factorization': [[[13, -7, 1], 2]], 'hecke_orbit_code': 40533152594133538, 'p': 13}
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id: 1030406
{'charpoly_factorization': [[[9, 3, 1], 2]], 'hecke_orbit_code': 40533152594133538, 'p': 17}
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id: 1030407
{'charpoly_factorization': [[[3136, 112, 60, -2, 1], 1]], 'hecke_orbit_code': 40533152594133538, 'p': 19}
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id: 1030408
{'charpoly_factorization': [[[144, 36, 21, -3, 1], 1]], 'hecke_orbit_code': 40533152594133538, 'p': 23}
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id: 1030409
{'charpoly_factorization': [[[36, 54, 75, 9, 1], 1]], 'hecke_orbit_code': 40533152594133538, 'p': 29}
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id: 1030410
{'charpoly_factorization': [[[-8, -5, 1], 2]], 'hecke_orbit_code': 40533152594133538, 'p': 31}
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id: 1030411
{'charpoly_factorization': [[[4, 14, 51, -7, 1], 1]], 'hecke_orbit_code': 40533152594133538, 'p': 37}
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id: 1030412
{'charpoly_factorization': [[[36, 54, 75, 9, 1], 1]], 'hecke_orbit_code': 40533152594133538, 'p': 41}
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id: 1030413
{'charpoly_factorization': [[[16384, 128, 129, -1, 1], 1]], 'hecke_orbit_code': 40533152594133538, 'p': 43}
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id: 1030414
{'charpoly_factorization': [[[-56, -2, 1], 2]], 'hecke_orbit_code': 40533152594133538, 'p': 47}
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id: 1030415
{'charpoly_factorization': [[[-41, -8, 1], 2]], 'hecke_orbit_code': 40533152594133538, 'p': 53}
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id: 1030416
{'charpoly_factorization': [[[16384, 128, 129, -1, 1], 1]], 'hecke_orbit_code': 40533152594133538, 'p': 59}
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id: 1030417
{'charpoly_factorization': [[[81, -9, 1], 2]], 'hecke_orbit_code': 40533152594133538, 'p': 61}
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id: 1030418
{'charpoly_factorization': [[[784, -364, 141, -13, 1], 1]], 'hecke_orbit_code': 40533152594133538, 'p': 67}
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id: 1030419
{'charpoly_factorization': [[[144, -36, 21, 3, 1], 1]], 'hecke_orbit_code': 40533152594133538, 'p': 71}
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id: 1030420
{'charpoly_factorization': [[[76, -19, 1], 2]], 'hecke_orbit_code': 40533152594133538, 'p': 73}
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id: 1030421
{'charpoly_factorization': [[[8, 1], 4]], 'hecke_orbit_code': 40533152594133538, 'p': 79}
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id: 1030422
{'charpoly_factorization': [[[-128, 1, 1], 2]], 'hecke_orbit_code': 40533152594133538, 'p': 83}
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id: 1030423
{'charpoly_factorization': [[[36, 54, 75, 9, 1], 1]], 'hecke_orbit_code': 40533152594133538, 'p': 89}
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id: 1030424
{'charpoly_factorization': [[[64, -112, 204, 14, 1], 1]], 'hecke_orbit_code': 40533152594133538, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 10, 'label': '546.2.l.j', 'level': 546, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 54001957
{'hecke_orbit_code': 40533152594133538, 'n': 1, 'trace_an': 4}
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id: 54001958
{'hecke_orbit_code': 40533152594133538, 'n': 2, 'trace_an': -2}
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id: 54001959
{'hecke_orbit_code': 40533152594133538, 'n': 3, 'trace_an': -2}
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id: 54001960
{'hecke_orbit_code': 40533152594133538, 'n': 4, 'trace_an': -2}
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id: 54001961
{'hecke_orbit_code': 40533152594133538, 'n': 5, 'trace_an': 2}
-
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