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mf_newforms • Show schema
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{'Nk2': 1812, 'analytic_conductor': 3.6172232115640015, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [151, -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': [453, 1, [152, 157], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, 1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660925381, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '453.2.a.b', 'level': 453, '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': [3, 151], 'level_radical': 453, 'minimal_twist': '453.2.a.b', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta q^{2}+q^{3}+(-1+\\beta )q^{4}+(-1+\\beta )q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '453.2.a', 'trace_display': [-1, 2, -1, -6], 'trace_hash': 1321896263118171695, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.013', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.740', 'prec': 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mf_hecke_cc • Show schema
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'hecke_orbit_code': 4503599660925381, 'label': '453.2.a.b.1.2', 'level': 453, 'weight': 2}
-
mf_newspaces • Show schema
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{'ALdims': [8, 4, 11, 2], 'Nk2': 1812, 'analytic_conductor': 3.6172232115640015, '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': [453, 1, [152, 157], [1, 1]], 'conrey_index': 1, 'cusp_dim': 49, 'dim': 25, 'eis_dim': 3, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33554885, 'hecke_orbit_dims': [2, 2, 2, 2, 3, 5, 9], 'label': '453.2.a', 'level': 453, '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': [3, 151], 'level_radical': 453, 'mf_dim': 52, 'mf_new_dim': 25, 'num_forms': 7, 'plus_dim': 10, 'prim_orbit_index': 1, 'relative_dim': 25, 'sturm_bound': 101, 'trace_bound': 2, 'trace_display': [1, 1, -6, 4], 'traces': [25, 1, 1, 29, -6, 3, 4, -3, 25, -10, -4, -1, 2, -12, 6, 25, -6, 1, 4, -22, 4, 16, -12, 15, 15, -22, 1, 8, 6, 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-284, -32, -10, 8, -11, -92, 346, -22, 176, 100, -4, 132, -70, -132, 70, 72, -26, -68, 108, 100, 2, 120, -64, -50, -240, -8, 142, -246, -32, 52, -202, -92, -88, 160, -14, 222, 52, -118, -34, -334, 174, -76, 30, 4, 6, 68, -12, -212, -486, 46, -388, 82, 50, 204, -250, -32, 88, 48, 134, 153, -112, -20, 96, -40, 72, -4, 131, 204, 188, -368, -1, -272, 38, -118, 162, 242, 108, -56, -298, 22, 184, 88, -270, 136, -282, -40, 108, 56, 46, -88, -312, 20, -232, -24, -92, -230, 344, 30, -198], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 33846045
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925381, 'source_is_minimal': True, 'source_label': '453.2.a.b.1.2', 'source_level': 453, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599660925381, 'target_is_minimal': True, 'target_label': '453.2.a.b.1.2', 'target_level': 453, 'twist_class_label': '453.2.a.b.1.2', 'twist_class_level': 453, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 33846046
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925381, 'source_is_minimal': True, 'source_label': '453.2.a.b.1.2', 'source_level': 453, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288296783, 'target_is_minimal': False, 'target_label': '1359.2.a.c.1.1', 'target_level': 1359, 'twist_class_label': '453.2.a.b.1.2', 'twist_class_level': 453, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 33846047
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925381, 'source_is_minimal': True, 'source_label': '453.2.a.b.1.2', 'source_level': 453, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816748624, 'target_is_minimal': False, 'target_label': '7248.2.a.o.1.1', 'target_level': 7248, 'twist_class_label': '453.2.a.b.1.2', 'twist_class_level': 453, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 916125
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 4503599660925381, 'p': 2}
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id: 916126
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 4503599660925381, 'p': 3}
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id: 916127
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 4503599660925381, 'p': 5}
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id: 916128
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 4503599660925381, 'p': 7}
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id: 916129
{'charpoly_factorization': [[[4, 6, 1], 1]], 'hecke_orbit_code': 4503599660925381, 'p': 11}
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id: 916130
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 4503599660925381, 'p': 13}
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id: 916131
{'charpoly_factorization': [[[-5, 0, 1], 1]], 'hecke_orbit_code': 4503599660925381, 'p': 17}
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id: 916132
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 4503599660925381, 'p': 19}
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id: 916133
{'charpoly_factorization': [[[-11, 6, 1], 1]], 'hecke_orbit_code': 4503599660925381, 'p': 23}
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id: 916134
{'charpoly_factorization': [[[9, -9, 1], 1]], 'hecke_orbit_code': 4503599660925381, 'p': 29}
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id: 916135
{'charpoly_factorization': [[[-25, 5, 1], 1]], 'hecke_orbit_code': 4503599660925381, 'p': 31}
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id: 916136
{'charpoly_factorization': [[[-9, 3, 1], 1]], 'hecke_orbit_code': 4503599660925381, 'p': 37}
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id: 916137
{'charpoly_factorization': [[[9, -9, 1], 1]], 'hecke_orbit_code': 4503599660925381, 'p': 41}
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id: 916138
{'charpoly_factorization': [[[5, 10, 1], 1]], 'hecke_orbit_code': 4503599660925381, 'p': 43}
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id: 916139
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 4503599660925381, 'p': 47}
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id: 916140
{'charpoly_factorization': [[[-79, 2, 1], 1]], 'hecke_orbit_code': 4503599660925381, 'p': 53}
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id: 916141
{'charpoly_factorization': [[[5, 5, 1], 1]], 'hecke_orbit_code': 4503599660925381, 'p': 59}
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id: 916142
{'charpoly_factorization': [[[-95, -5, 1], 1]], 'hecke_orbit_code': 4503599660925381, 'p': 61}
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id: 916143
{'charpoly_factorization': [[[45, 15, 1], 1]], 'hecke_orbit_code': 4503599660925381, 'p': 67}
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id: 916144
{'charpoly_factorization': [[[11, -13, 1], 1]], 'hecke_orbit_code': 4503599660925381, 'p': 71}
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id: 916145
{'charpoly_factorization': [[[19, 16, 1], 1]], 'hecke_orbit_code': 4503599660925381, 'p': 73}
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id: 916146
{'charpoly_factorization': [[[-139, -7, 1], 1]], 'hecke_orbit_code': 4503599660925381, 'p': 79}
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id: 916147
{'charpoly_factorization': [[[55, 15, 1], 1]], 'hecke_orbit_code': 4503599660925381, 'p': 83}
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id: 916148
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 4503599660925381, 'p': 89}
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id: 916149
{'charpoly_factorization': [[[-180, 0, 1], 1]], 'hecke_orbit_code': 4503599660925381, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '453.2.a.b', 'level': 453, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 16135128
{'hecke_orbit_code': 4503599660925381, 'n': 1, 'trace_an': 2}
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