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mf_newforms • Show schema
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{'Nk2': 10944, 'analytic_conductor': 21.847069993022313, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 3, 'char_parity': 1, 'char_values': [2736, 3, [1711, 2053, 1217, 1009], [3, 3, 3, 1]], 'cm_discs': [], 'conrey_index': 577, 'conrey_indexes': [577, 1873], 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [64, -96, 144, -16, 12, 0, 1]], [7, [-3, -9, 3, 1]], [11, [-136, -24, 6, 1]], [13, [1, 1, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103584028413659824, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 64, 'hecke_ring_index_factorization': [[2, 6]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 10944, 'analytic_conductor': 21.847069993022313, 'char_conductor': 19, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 3, 'char_parity': 1, 'char_values': [2736, 3, [1711, 2053, 1217, 1009], [3, 3, 3, 1]], 'conrey_index': 577, 'cusp_dim': 912, 'dim': 98, 'eis_dim': 96, 'eis_new_dim': 4, 'hecke_cutter_primes': [5, 7, 11, 13], 'hecke_orbit_code': 1236984138416, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8], 'label': '2736.2.s', 'level': 2736, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'mf_dim': 1008, 'mf_new_dim': 102, 'num_forms': 29, 'prim_orbit_index': 3, 'relative_dim': 49, 'sturm_bound': 960, 'trace_bound': 13, 'trace_display': [0, 0, 1, 0], 'traces': [98, 0, 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, -1, 0, 0, 0, 5, 0, 10, 0, 0, 0, 5, 0, -46, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 48521944
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 577, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 103584028413659824, 'source_is_minimal': False, 'source_label': '2736.2.s.x.577.3', 'source_level': 2736, 'target_conrey_index': 577, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 103584028413659824, 'target_is_minimal': False, 'target_label': '2736.2.s.x.577.3', 'target_level': 2736, 'twist_class_label': '456.2.q.f.49.1', 'twist_class_level': 456, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48521945
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 577, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 103584028413659824, 'source_is_minimal': False, 'source_label': '2736.2.s.x.577.3', 'source_level': 2736, 'target_conrey_index': 577, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45037095818888080, 'target_is_minimal': False, 'target_label': '912.2.q.k.577.1', 'target_level': 912, 'twist_class_label': '456.2.q.f.49.1', 'twist_class_level': 456, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48521946
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 577, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 103584028413659824, 'source_is_minimal': False, 'source_label': '2736.2.s.x.577.3', 'source_level': 2736, 'target_conrey_index': 577, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40533633630471512, 'target_is_minimal': False, 'target_label': '1368.2.s.j.577.3', 'target_level': 1368, 'twist_class_label': '456.2.q.f.49.1', 'twist_class_level': 456, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48521947
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 577, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 103584028413659824, 'source_is_minimal': False, 'source_label': '2736.2.s.x.577.3', 'source_level': 2736, 'target_conrey_index': 121, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519097682035144, 'target_is_minimal': True, 'target_label': '456.2.q.f.121.1', 'target_level': 456, 'twist_class_label': '456.2.q.f.49.1', 'twist_class_level': 456, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48521948
{'conductor': 19, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 577, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 103584028413659824, 'source_is_minimal': False, 'source_label': '2736.2.s.x.577.3', 'source_level': 2736, 'target_conrey_index': 1873, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 103584028413659824, 'target_is_minimal': False, 'target_label': '2736.2.s.x.1873.3', 'target_level': 2736, 'twist_class_label': '456.2.q.f.49.1', 'twist_class_level': 456, 'twisting_char_label': '19.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48521949
{'conductor': 57, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 577, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 103584028413659824, 'source_is_minimal': False, 'source_label': '2736.2.s.x.577.3', 'source_level': 2736, 'target_conrey_index': 49, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45037095818888080, 'target_is_minimal': False, 'target_label': '912.2.q.k.49.1', 'target_level': 912, 'twist_class_label': '456.2.q.f.49.1', 'twist_class_level': 456, 'twisting_char_label': '57.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48521950
{'conductor': 76, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 577, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 103584028413659824, 'source_is_minimal': False, 'source_label': '2736.2.s.x.577.3', 'source_level': 2736, 'target_conrey_index': 505, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40533633630471512, 'target_is_minimal': False, 'target_label': '1368.2.s.j.505.3', 'target_level': 1368, 'twist_class_label': '456.2.q.f.49.1', 'twist_class_level': 456, 'twisting_char_label': '76.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48521951
{'conductor': 228, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 577, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 103584028413659824, 'source_is_minimal': False, 'source_label': '2736.2.s.x.577.3', 'source_level': 2736, 'target_conrey_index': 49, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519097682035144, 'target_is_minimal': True, 'target_label': '456.2.q.f.49.1', 'target_level': 456, 'twist_class_label': '456.2.q.f.49.1', 'twist_class_level': 456, 'twisting_char_label': '228.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48521952
{'conductor': 228, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 577, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 103584028413659824, 'source_is_minimal': False, 'source_label': '2736.2.s.x.577.3', 'source_level': 2736, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 103582791463084504, 'target_is_minimal': False, 'target_label': '8664.2.a.x.1.3', 'target_level': 8664, 'twist_class_label': '456.2.q.f.49.1', 'twist_class_level': 456, 'twisting_char_label': '228.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 48521953
{'conductor': 228, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 577, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 103584028413659824, 'source_is_minimal': False, 'source_label': '2736.2.s.x.577.3', 'source_level': 2736, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 112589990717825496, 'target_is_minimal': False, 'target_label': '8664.2.a.z.1.3', 'target_level': 8664, 'twist_class_label': '456.2.q.f.49.1', 'twist_class_level': 456, 'twisting_char_label': '228.107', 'twisting_conrey_index': 107, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2824175
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 103584028413659824, 'p': 2}
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id: 2824176
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 103584028413659824, 'p': 3}
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id: 2824177
{'charpoly_factorization': [[[64, -96, 144, -16, 12, 0, 1], 1]], 'hecke_orbit_code': 103584028413659824, 'p': 5}
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id: 2824178
{'charpoly_factorization': [[[-3, -9, 3, 1], 2]], 'hecke_orbit_code': 103584028413659824, 'p': 7}
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id: 2824179
{'charpoly_factorization': [[[-136, -24, 6, 1], 2]], 'hecke_orbit_code': 103584028413659824, 'p': 11}
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id: 2824180
{'charpoly_factorization': [[[1, 1, 1], 3]], 'hecke_orbit_code': 103584028413659824, 'p': 13}
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id: 2824181
{'charpoly_factorization': [[[4096, -3072, 2304, -128, 48, 0, 1], 1]], 'hecke_orbit_code': 103584028413659824, 'p': 17}
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id: 2824182
{'charpoly_factorization': [[[6859, 0, 171, -64, 9, 0, 1], 1]], 'hecke_orbit_code': 103584028413659824, 'p': 19}
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id: 2824183
{'charpoly_factorization': [[[64, 96, 144, 16, 12, 0, 1], 1]], 'hecke_orbit_code': 103584028413659824, 'p': 23}
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id: 2824184
{'charpoly_factorization': [[[36864, 0, 2304, -384, 144, -12, 1], 1]], 'hecke_orbit_code': 103584028413659824, 'p': 29}
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id: 2824185
{'charpoly_factorization': [[[-127, 39, 15, 1], 2]], 'hecke_orbit_code': 103584028413659824, 'p': 31}
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id: 2824186
{'charpoly_factorization': [[[-111, -45, 3, 1], 2]], 'hecke_orbit_code': 103584028413659824, 'p': 37}
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id: 2824187
{'charpoly_factorization': [[[36864, 0, 2304, -384, 144, -12, 1], 1]], 'hecke_orbit_code': 103584028413659824, 'p': 41}
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id: 2824188
{'charpoly_factorization': [[[289, 255, 378, -169, 66, -9, 1], 1]], 'hecke_orbit_code': 103584028413659824, 'p': 43}
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id: 2824189
{'charpoly_factorization': [[[36, -6, 1], 3]], 'hecke_orbit_code': 103584028413659824, 'p': 47}
-
id: 2824190
{'charpoly_factorization': [[[87616, -24864, 7056, -592, 84, 0, 1], 1]], 'hecke_orbit_code': 103584028413659824, 'p': 53}
-
id: 2824191
{'charpoly_factorization': [[[179776, -40704, 11760, -272, 132, -6, 1], 1]], 'hecke_orbit_code': 103584028413659824, 'p': 59}
-
id: 2824192
{'charpoly_factorization': [[[289, 765, 1974, 169, 54, -3, 1], 1]], 'hecke_orbit_code': 103584028413659824, 'p': 61}
-
id: 2824193
{'charpoly_factorization': [[[1369, -1221, 978, -173, 42, 3, 1], 1]], 'hecke_orbit_code': 103584028413659824, 'p': 67}
-
id: 2824194
{'charpoly_factorization': [[[732736, 112992, 22560, 920, 168, 6, 1], 1]], 'hecke_orbit_code': 103584028413659824, 'p': 71}
-
id: 2824195
{'charpoly_factorization': [[[32761, -3801, 2070, -173, 102, -9, 1], 1]], 'hecke_orbit_code': 103584028413659824, 'p': 73}
-
id: 2824196
{'charpoly_factorization': [[[104329, 51357, 34002, -4939, 570, -27, 1], 1]], 'hecke_orbit_code': 103584028413659824, 'p': 79}
-
id: 2824197
{'charpoly_factorization': [[[64, -96, 12, 1], 2]], 'hecke_orbit_code': 103584028413659824, 'p': 83}
-
id: 2824198
{'charpoly_factorization': [[[5184, 5184, 6480, -1440, 252, -18, 1], 1]], 'hecke_orbit_code': 103584028413659824, 'p': 89}
-
id: 2824199
{'charpoly_factorization': [[[732736, 112992, 22560, 920, 168, 6, 1], 1]], 'hecke_orbit_code': 103584028413659824, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 19, 'hecke_orbit': 24, 'label': '2736.2.s.x', 'level': 2736, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 256932000
{'hecke_orbit_code': 103584028413659824, 'n': 1, 'trace_an': 6}
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id: 256932001
{'hecke_orbit_code': 103584028413659824, 'n': 2, 'trace_an': 0}
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id: 256932002
{'hecke_orbit_code': 103584028413659824, 'n': 3, 'trace_an': 0}
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id: 256932003
{'hecke_orbit_code': 103584028413659824, 'n': 4, 'trace_an': 0}
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id: 256932004
{'hecke_orbit_code': 103584028413659824, 'n': 5, 'trace_an': 0}
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id: 256932005
{'hecke_orbit_code': 103584028413659824, 'n': 6, 'trace_an': 0}
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id: 256932006
{'hecke_orbit_code': 103584028413659824, 'n': 7, 'trace_an': -6}
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id: 256932007
{'hecke_orbit_code': 103584028413659824, 'n': 8, 'trace_an': 0}
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id: 256932008
{'hecke_orbit_code': 103584028413659824, 'n': 9, 'trace_an': 0}
-
id: 256932009
{'hecke_orbit_code': 103584028413659824, 'n': 10, 'trace_an': 0}
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id: 256932010
{'hecke_orbit_code': 103584028413659824, 'n': 11, 'trace_an': -12}
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id: 256932011
{'hecke_orbit_code': 103584028413659824, 'n': 12, 'trace_an': 0}
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id: 256932012
{'hecke_orbit_code': 103584028413659824, 'n': 13, 'trace_an': -3}
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id: 256932013
{'hecke_orbit_code': 103584028413659824, 'n': 14, 'trace_an': 0}
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id: 256932014
{'hecke_orbit_code': 103584028413659824, 'n': 15, 'trace_an': 0}
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id: 256932015
{'hecke_orbit_code': 103584028413659824, 'n': 16, 'trace_an': 0}
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id: 256932016
{'hecke_orbit_code': 103584028413659824, 'n': 17, 'trace_an': 0}
-
id: 256932017
{'hecke_orbit_code': 103584028413659824, 'n': 18, 'trace_an': 0}
-
id: 256932018
{'hecke_orbit_code': 103584028413659824, 'n': 19, 'trace_an': 0}
-
id: 256932019
{'hecke_orbit_code': 103584028413659824, 'n': 20, 'trace_an': 0}
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id: 256932020
{'hecke_orbit_code': 103584028413659824, 'n': 21, 'trace_an': 0}
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id: 256932021
{'hecke_orbit_code': 103584028413659824, 'n': 22, 'trace_an': 0}
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id: 256932022
{'hecke_orbit_code': 103584028413659824, 'n': 23, 'trace_an': 0}
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id: 256932023
{'hecke_orbit_code': 103584028413659824, 'n': 24, 'trace_an': 0}
-
id: 256932024
{'hecke_orbit_code': 103584028413659824, 'n': 25, 'trace_an': -9}
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id: 256932025
{'hecke_orbit_code': 103584028413659824, 'n': 26, 'trace_an': 0}
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