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mf_newforms • Show schema
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{'Nk2': 536, 'analytic_conductor': 1.069995387085157, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 67, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [134, 3, [69], [2]], 'cm_discs': [], 'conrey_index': 29, 'conrey_indexes': [29, 37], 'dim': 4, 'field_disc': 441, 'field_disc_factorization': [[3, 2], [7, 2]], 'field_poly': [4, -2, -1, -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': [[3, [-5, -1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503737099878534, 'hecke_ring_generator_nbound': 3, '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, 67, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '134.2.c.b', 'level': 134, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 67], 'level_radical': 134, 'minimal_twist': '134.2.c.b', 'nf_label': '4.0.441.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{1}q^{2}+(1-\\beta _{2})q^{3}+(-1-\\beta _{1})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '134.2.c', 'trace_display': [-2, 2, -4, -1], 'trace_hash': 1803053599679254326, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.026', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.750', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '56.820', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1487.749', 'prec': 27}], 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mf_hecke_cc • Show schema
Hide schema
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mf_newspaces • Show schema
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{'Nk2': 536, 'analytic_conductor': 1.069995387085157, 'char_conductor': 67, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [134, 3, [69], [2]], 'conrey_index': 29, 'cusp_dim': 30, 'dim': 10, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 137472508038, 'hecke_orbit_dims': [2, 4, 4], 'label': '134.2.c', 'level': 134, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 67], 'level_radical': 134, 'mf_dim': 38, 'mf_new_dim': 10, 'num_forms': 3, 'prim_orbit_index': 3, 'relative_dim': 5, 'sturm_bound': 34, 'trace_bound': 2, 'trace_display': [-1, 6, 0, 2], 'traces': [10, -1, 6, -5, 0, 3, 2, 2, 8, 0, -2, -3, -6, -8, -16, -5, 3, -2, -1, 0, 2, 20, -10, -6, -18, 0, 30, 2, -6, -2, -14, -1, 2, 3, 14, -4, 16, -5, -24, 0, -2, -20, -14, -2, -48, 10, -4, -3, 5, 9, 13, 12, 36, -15, 8, 4, -3, 12, -6, 8, 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38, 84, 32, 272, -45, 228, -32, 52, 54, -12, 24, -26, -88, -56, -4, -27, -24, 120, 80, 24, 97, 20, 12], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 34668920
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503737099878534, 'source_is_minimal': True, 'source_label': '134.2.c.b.37.1', 'source_level': 134, 'target_conrey_index': 37, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099878534, 'target_is_minimal': True, 'target_label': '134.2.c.b.37.1', 'target_level': 134, 'twist_class_label': '134.2.c.b.29.1', 'twist_class_level': 134, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 34668921
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503737099878534, 'source_is_minimal': True, 'source_label': '134.2.c.b.37.1', 'source_level': 134, 'target_conrey_index': 37, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007680324633782, 'target_is_minimal': False, 'target_label': '1206.2.h.c.37.1', 'target_level': 1206, 'twist_class_label': '134.2.c.b.29.1', 'twist_class_level': 134, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 34668922
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503737099878534, 'source_is_minimal': True, 'source_label': '134.2.c.b.37.1', 'source_level': 134, 'target_conrey_index': 305, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007749044110384, 'target_is_minimal': False, 'target_label': '1072.2.i.c.305.2', 'target_level': 1072, 'twist_class_label': '134.2.c.b.29.1', 'twist_class_level': 134, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 34668923
{'conductor': 67, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503737099878534, 'source_is_minimal': True, 'source_label': '134.2.c.b.37.1', 'source_level': 134, 'target_conrey_index': 29, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099878534, 'target_is_minimal': True, 'target_label': '134.2.c.b.29.1', 'target_level': 134, 'twist_class_label': '134.2.c.b.29.1', 'twist_class_level': 134, 'twisting_char_label': '67.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 34668924
{'conductor': 67, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503737099878534, 'source_is_minimal': True, 'source_label': '134.2.c.b.37.1', 'source_level': 134, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007199288304402, 'target_is_minimal': False, 'target_label': '8978.2.a.c.1.2', 'target_level': 8978, 'twist_class_label': '134.2.c.b.29.1', 'twist_class_level': 134, 'twisting_char_label': '67.30', 'twisting_conrey_index': 30, 'weight': 2}
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id: 34668925
{'conductor': 67, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503737099878534, 'source_is_minimal': True, 'source_label': '134.2.c.b.37.1', 'source_level': 134, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170415890, 'target_is_minimal': False, 'target_label': '8978.2.a.f.1.1', 'target_level': 8978, 'twist_class_label': '134.2.c.b.29.1', 'twist_class_level': 134, 'twisting_char_label': '67.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 34668926
{'conductor': 201, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503737099878534, 'source_is_minimal': True, 'source_label': '134.2.c.b.37.1', 'source_level': 134, 'target_conrey_index': 163, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007680324633782, 'target_is_minimal': False, 'target_label': '1206.2.h.c.163.1', 'target_level': 1206, 'twist_class_label': '134.2.c.b.29.1', 'twist_class_level': 134, 'twisting_char_label': '201.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 34668927
{'conductor': 268, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503737099878534, 'source_is_minimal': True, 'source_label': '134.2.c.b.37.1', 'source_level': 134, 'target_conrey_index': 833, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007749044110384, 'target_is_minimal': False, 'target_label': '1072.2.i.c.833.2', 'target_level': 1072, 'twist_class_label': '134.2.c.b.29.1', 'twist_class_level': 134, 'twisting_char_label': '268.163', 'twisting_conrey_index': 163, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 368125
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 4503737099878534, 'p': 2}
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id: 368126
{'charpoly_factorization': [[[-5, -1, 1], 2]], 'hecke_orbit_code': 4503737099878534, 'p': 3}
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id: 368127
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 4503737099878534, 'p': 5}
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id: 368128
{'charpoly_factorization': [[[25, -5, 6, 1, 1], 1]], 'hecke_orbit_code': 4503737099878534, 'p': 7}
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id: 368129
{'charpoly_factorization': [[[25, 5, 1], 2]], 'hecke_orbit_code': 4503737099878534, 'p': 11}
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id: 368130
{'charpoly_factorization': [[[9, -9, 12, 3, 1], 1]], 'hecke_orbit_code': 4503737099878534, 'p': 13}
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id: 368131
{'charpoly_factorization': [[[441, 0, 21, 0, 1], 1]], 'hecke_orbit_code': 4503737099878534, 'p': 17}
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id: 368132
{'charpoly_factorization': [[[400, -40, 24, 2, 1], 1]], 'hecke_orbit_code': 4503737099878534, 'p': 19}
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id: 368133
{'charpoly_factorization': [[[144, -72, 48, 6, 1], 1]], 'hecke_orbit_code': 4503737099878534, 'p': 23}
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id: 368134
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 4503737099878534, 'p': 29}
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id: 368135
{'charpoly_factorization': [[[1369, 481, 132, 13, 1], 1]], 'hecke_orbit_code': 4503737099878534, 'p': 31}
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id: 368136
{'charpoly_factorization': [[[25, 5, 6, -1, 1], 1]], 'hecke_orbit_code': 4503737099878534, 'p': 37}
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id: 368137
{'charpoly_factorization': [[[289, -68, 33, 4, 1], 1]], 'hecke_orbit_code': 4503737099878534, 'p': 41}
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id: 368138
{'charpoly_factorization': [[[-17, -11, 1], 2]], 'hecke_orbit_code': 4503737099878534, 'p': 43}
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id: 368139
{'charpoly_factorization': [[[7056, 0, 84, 0, 1], 1]], 'hecke_orbit_code': 4503737099878534, 'p': 47}
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id: 368140
{'charpoly_factorization': [[[-45, -3, 1], 2]], 'hecke_orbit_code': 4503737099878534, 'p': 53}
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id: 368141
{'charpoly_factorization': [[[-5, -8, 1], 2]], 'hecke_orbit_code': 4503737099878534, 'p': 59}
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id: 368142
{'charpoly_factorization': [[[1681, 205, 66, -5, 1], 1]], 'hecke_orbit_code': 4503737099878534, 'p': 61}
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id: 368143
{'charpoly_factorization': [[[4489, 268, -51, 4, 1], 1]], 'hecke_orbit_code': 4503737099878534, 'p': 67}
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id: 368144
{'charpoly_factorization': [[[15625, -625, 150, 5, 1], 1]], 'hecke_orbit_code': 4503737099878534, 'p': 71}
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id: 368145
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503737099878534, 'p': 73}
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id: 368146
{'charpoly_factorization': [[[1849, -817, 318, -19, 1], 1]], 'hecke_orbit_code': 4503737099878534, 'p': 79}
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id: 368147
{'charpoly_factorization': [[[144, 12, 1], 2]], 'hecke_orbit_code': 4503737099878534, 'p': 83}
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id: 368148
{'charpoly_factorization': [[[15, 9, 1], 2]], 'hecke_orbit_code': 4503737099878534, 'p': 89}
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id: 368149
{'charpoly_factorization': [[[22801, -3775, 474, -25, 1], 1]], 'hecke_orbit_code': 4503737099878534, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 2, 'label': '134.2.c.b', 'level': 134, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 81088000
{'hecke_orbit_code': 4503737099878534, 'n': 1, 'trace_an': 4}
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id: 81088001
{'hecke_orbit_code': 4503737099878534, 'n': 2, 'trace_an': -2}
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id: 81088002
{'hecke_orbit_code': 4503737099878534, 'n': 3, 'trace_an': 2}
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id: 81088003
{'hecke_orbit_code': 4503737099878534, 'n': 4, 'trace_an': -2}
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id: 81088004
{'hecke_orbit_code': 4503737099878534, 'n': 5, 'trace_an': -4}
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id: 81088005
{'hecke_orbit_code': 4503737099878534, 'n': 6, 'trace_an': -1}
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id: 81088006
{'hecke_orbit_code': 4503737099878534, 'n': 7, 'trace_an': -1}
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id: 81088007
{'hecke_orbit_code': 4503737099878534, 'n': 8, 'trace_an': 4}
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id: 81088008
{'hecke_orbit_code': 4503737099878534, 'n': 9, 'trace_an': 10}
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id: 81088009
{'hecke_orbit_code': 4503737099878534, 'n': 10, 'trace_an': 2}
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id: 81088010
{'hecke_orbit_code': 4503737099878534, 'n': 11, 'trace_an': -10}
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id: 81088011
{'hecke_orbit_code': 4503737099878534, 'n': 12, 'trace_an': -1}
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id: 81088012
{'hecke_orbit_code': 4503737099878534, 'n': 13, 'trace_an': -3}
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id: 81088013
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{'hecke_orbit_code': 4503737099878534, 'n': 990, 'trace_an': -50}
-
id: 81088990
{'hecke_orbit_code': 4503737099878534, 'n': 991, 'trace_an': 20}
-
id: 81088991
{'hecke_orbit_code': 4503737099878534, 'n': 992, 'trace_an': -13}
-
id: 81088992
{'hecke_orbit_code': 4503737099878534, 'n': 993, 'trace_an': -8}
-
id: 81088993
{'hecke_orbit_code': 4503737099878534, 'n': 994, 'trace_an': -55}
-
id: 81088994
{'hecke_orbit_code': 4503737099878534, 'n': 995, 'trace_an': 14}
-
id: 81088995
{'hecke_orbit_code': 4503737099878534, 'n': 996, 'trace_an': 24}
-
id: 81088996
{'hecke_orbit_code': 4503737099878534, 'n': 997, 'trace_an': -12}
-
id: 81088997
{'hecke_orbit_code': 4503737099878534, 'n': 998, 'trace_an': 57}
-
id: 81088998
{'hecke_orbit_code': 4503737099878534, 'n': 999, 'trace_an': 5}
-
id: 81088999
{'hecke_orbit_code': 4503737099878534, 'n': 1000, 'trace_an': 36}