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mf_newforms • Show schema
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{'Nk2': 15552, 'analytic_conductor': 47.084589681459306, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 4, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': -1, 'char_values': [1728, 2, [703, 325, 1217], [1, 2, 2]], 'cm_discs': [], 'conrey_index': 703, 'conrey_indexes': [703], 'dim': 8, 'field_disc': 56070144, 'field_disc_factorization': [[2, 12], [3, 4], [13, 2]], 'field_poly': [13, -38, 70, -74, 63, -34, 16, -4, 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, [208, 176, -48, -4, 1]], [7, [2588881, 0, 362092, 0, 16566, 0, 268, 0, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043607895639744, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 331776, 'hecke_ring_index_factorization': [[2, 12], [3, 4]], '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': 15552, 'analytic_conductor': 47.084589681459306, 'char_conductor': 4, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': -1, 'char_values': [1728, 2, [703, 325, 1217], [1, 2, 2]], 'conrey_index': 703, 'cusp_dim': 540, 'dim': 64, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 412367193792, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 4, 4, 8, 8, 8, 8, 8], 'label': '1728.3.g', 'level': 1728, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 612, 'mf_new_dim': 64, 'num_forms': 14, 'prim_orbit_index': 2, 'relative_dim': 64, 'sturm_bound': 864, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -448, 0, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 47590253
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 54043607895639744, 'source_is_minimal': False, 'source_label': '1728.3.g.m.703.5', 'source_level': 1728, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 54043607895639744, 'target_is_minimal': False, 'target_label': '1728.3.g.m.703.5', 'target_level': 1728, 'twist_class_label': '864.3.g.b.703.3', 'twist_class_level': 864, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 47590254
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 54043607895639744, 'source_is_minimal': False, 'source_label': '1728.3.g.m.703.5', 'source_level': 1728, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532809013528256, 'target_is_minimal': False, 'target_label': '1728.3.g.j.703.3', 'target_level': 1728, 'twist_class_label': '864.3.g.b.703.3', 'twist_class_level': 864, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 47590255
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 54043607895639744, 'source_is_minimal': False, 'source_label': '1728.3.g.m.703.5', 'source_level': 1728, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 54043607895639744, 'target_is_minimal': False, 'target_label': '1728.3.g.m.703.6', 'target_level': 1728, 'twist_class_label': '864.3.g.b.703.3', 'twist_class_level': 864, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 47590256
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 54043607895639744, 'source_is_minimal': False, 'source_label': '1728.3.g.m.703.5', 'source_level': 1728, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504011994563424, 'target_is_minimal': True, 'target_label': '864.3.g.b.703.4', 'target_level': 864, 'twist_class_label': '864.3.g.b.703.3', 'twist_class_level': 864, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 47590257
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 54043607895639744, 'source_is_minimal': False, 'source_label': '1728.3.g.m.703.5', 'source_level': 1728, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504011994563424, 'target_is_minimal': True, 'target_label': '864.3.g.b.703.3', 'target_level': 864, 'twist_class_label': '864.3.g.b.703.3', 'twist_class_level': 864, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 47590258
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 54043607895639744, 'source_is_minimal': False, 'source_label': '1728.3.g.m.703.5', 'source_level': 1728, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532809013528256, 'target_is_minimal': False, 'target_label': '1728.3.g.j.703.4', 'target_level': 1728, 'twist_class_label': '864.3.g.b.703.3', 'twist_class_level': 864, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 47590259
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 54043607895639744, 'source_is_minimal': False, 'source_label': '1728.3.g.m.703.5', 'source_level': 1728, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13511211249304416, 'target_is_minimal': True, 'target_label': '864.3.g.d.703.5', 'target_level': 864, 'twist_class_label': '864.3.g.b.703.3', 'twist_class_level': 864, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 47590260
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 54043607895639744, 'source_is_minimal': False, 'source_label': '1728.3.g.m.703.5', 'source_level': 1728, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13511211249304416, 'target_is_minimal': True, 'target_label': '864.3.g.d.703.6', 'target_level': 864, 'twist_class_label': '864.3.g.b.703.3', 'twist_class_level': 864, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 2162825
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 54043607895639744, 'p': 2}
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id: 2162826
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 54043607895639744, 'p': 3}
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id: 2162827
{'charpoly_factorization': [[[208, 176, -48, -4, 1], 2]], 'hecke_orbit_code': 54043607895639744, 'p': 5}
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id: 2162828
{'charpoly_factorization': [[[2588881, 0, 362092, 0, 16566, 0, 268, 0, 1], 1]], 'hecke_orbit_code': 54043607895639744, 'p': 7}
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id: 2162829
{'charpoly_factorization': [[[891136, 0, 719104, 0, 43296, 0, 400, 0, 1], 1]], 'hecke_orbit_code': 54043607895639744, 'p': 11}
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id: 2162830
{'charpoly_factorization': [[[-3167, -2300, -282, 4, 1], 2]], 'hecke_orbit_code': 54043607895639744, 'p': 13}
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id: 2162831
{'charpoly_factorization': [[[5328, -3024, -720, 12, 1], 2]], 'hecke_orbit_code': 54043607895639744, 'p': 17}
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id: 2162832
{'charpoly_factorization': [[[13809305169, 0, 183237228, 0, 834102, 0, 1548, 0, 1], 1]], 'hecke_orbit_code': 54043607895639744, 'p': 19}
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id: 2162833
{'charpoly_factorization': [[[522762496, 0, 36818176, 0, 430368, 0, 1360, 0, 1], 1]], 'hecke_orbit_code': 54043607895639744, 'p': 23}
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id: 2162834
{'charpoly_factorization': [[[-966656, -94208, -768, 64, 1], 2]], 'hecke_orbit_code': 54043607895639744, 'p': 29}
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id: 2162835
{'charpoly_factorization': [[[7929856, 0, 265732096, 0, 1273344, 0, 1984, 0, 1], 1]], 'hecke_orbit_code': 54043607895639744, 'p': 31}
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id: 2162836
{'charpoly_factorization': [[[-661167, -85716, -2826, 12, 1], 2]], 'hecke_orbit_code': 54043607895639744, 'p': 37}
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id: 2162837
{'charpoly_factorization': [[[-929792, -117760, -768, 80, 1], 2]], 'hecke_orbit_code': 54043607895639744, 'p': 41}
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id: 2162838
{'charpoly_factorization': [[[8446345216, 0, 325009408, 0, 1660416, 0, 2368, 0, 1], 1]], 'hecke_orbit_code': 54043607895639744, 'p': 43}
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id: 2162839
{'charpoly_factorization': [[[80138017536256, 0, 146296231168, 0, 74886432, 0, 14800, 0, 1], 1]], 'hecke_orbit_code': 54043607895639744, 'p': 47}
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id: 2162840
{'charpoly_factorization': [[[3624192, -42624, -4032, 24, 1], 2]], 'hecke_orbit_code': 54043607895639744, 'p': 53}
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id: 2162841
{'charpoly_factorization': [[[1539862591744, 0, 18383948032, 0, 56560416, 0, 16528, 0, 1], 1]], 'hecke_orbit_code': 54043607895639744, 'p': 59}
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id: 2162842
{'charpoly_factorization': [[[-11656223, 622012, -6618, -68, 1], 2]], 'hecke_orbit_code': 54043607895639744, 'p': 61}
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id: 2162843
{'charpoly_factorization': [[[701937325489, 0, 6756611404, 0, 13763670, 0, 8620, 0, 1], 1]], 'hecke_orbit_code': 54043607895639744, 'p': 67}
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id: 2162844
{'charpoly_factorization': [[[121012672331776, 0, 335240642560, 0, 203887104, 0, 29248, 0, 1], 1]], 'hecke_orbit_code': 54043607895639744, 'p': 71}
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id: 2162845
{'charpoly_factorization': [[[1325601, 257436, -12186, -36, 1], 2]], 'hecke_orbit_code': 54043607895639744, 'p': 73}
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id: 2162846
{'charpoly_factorization': [[[40981548721, 0, 2018269516, 0, 18876246, 0, 8620, 0, 1], 1]], 'hecke_orbit_code': 54043607895639744, 'p': 79}
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id: 2162847
{'charpoly_factorization': [[[6417337806290944, 0, 4524612468736, 0, 750948864, 0, 46912, 0, 1], 1]], 'hecke_orbit_code': 54043607895639744, 'p': 83}
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id: 2162848
{'charpoly_factorization': [[[-146736, 92592, -8784, -84, 1], 2]], 'hecke_orbit_code': 54043607895639744, 'p': 89}
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id: 2162849
{'charpoly_factorization': [[[32388241, 244652, -15114, -52, 1], 2]], 'hecke_orbit_code': 54043607895639744, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 13, 'label': '1728.3.g.m', 'level': 1728, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 225480000
{'hecke_orbit_code': 54043607895639744, 'n': 1, 'trace_an': 8}
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id: 225480001
{'hecke_orbit_code': 54043607895639744, 'n': 2, 'trace_an': 0}
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id: 225480002
{'hecke_orbit_code': 54043607895639744, 'n': 3, 'trace_an': 0}
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id: 225480003
{'hecke_orbit_code': 54043607895639744, 'n': 4, 'trace_an': 0}
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id: 225480004
{'hecke_orbit_code': 54043607895639744, 'n': 5, 'trace_an': 8}
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id: 225480005
{'hecke_orbit_code': 54043607895639744, 'n': 6, 'trace_an': 0}
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id: 225480006
{'hecke_orbit_code': 54043607895639744, 'n': 7, 'trace_an': 0}
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id: 225480007
{'hecke_orbit_code': 54043607895639744, 'n': 8, 'trace_an': 0}
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id: 225480008
{'hecke_orbit_code': 54043607895639744, 'n': 9, 'trace_an': 0}
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id: 225480009
{'hecke_orbit_code': 54043607895639744, 'n': 10, 'trace_an': 0}
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id: 225480010
{'hecke_orbit_code': 54043607895639744, 'n': 11, 'trace_an': 0}
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id: 225480011
{'hecke_orbit_code': 54043607895639744, 'n': 12, 'trace_an': 0}
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id: 225480012
{'hecke_orbit_code': 54043607895639744, 'n': 13, 'trace_an': -8}
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id: 225480013
{'hecke_orbit_code': 54043607895639744, 'n': 14, 'trace_an': 0}
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id: 225480014
{'hecke_orbit_code': 54043607895639744, 'n': 15, 'trace_an': 0}
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id: 225480015
{'hecke_orbit_code': 54043607895639744, 'n': 16, 'trace_an': 0}
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id: 225480016
{'hecke_orbit_code': 54043607895639744, 'n': 17, 'trace_an': -24}
-
id: 225480017
{'hecke_orbit_code': 54043607895639744, 'n': 18, 'trace_an': 0}
-
id: 225480018
{'hecke_orbit_code': 54043607895639744, 'n': 19, 'trace_an': 0}
-
id: 225480019
{'hecke_orbit_code': 54043607895639744, 'n': 20, 'trace_an': 0}
-
id: 225480020
{'hecke_orbit_code': 54043607895639744, 'n': 21, 'trace_an': 0}
-
id: 225480021
{'hecke_orbit_code': 54043607895639744, 'n': 22, 'trace_an': 0}
-
id: 225480022
{'hecke_orbit_code': 54043607895639744, 'n': 23, 'trace_an': 0}
-
id: 225480023
{'hecke_orbit_code': 54043607895639744, 'n': 24, 'trace_an': 0}
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id: 225480024
{'hecke_orbit_code': 54043607895639744, 'n': 25, 'trace_an': 24}
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