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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': 3, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': -1, 'char_values': [1728, 2, [703, 325, 1217], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 1025, 'conrey_indexes': [1025], 'dim': 8, 'field_disc': 2441150464, 'field_disc_factorization': [[2, 16], [193, 2]], 'field_poly': [196, 0, -188, 0, 77, 0, -14, 0, 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, [193, 0, 58, 0, 1]], [7, [193, 0, -122, 0, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94575867103020736, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 82944, 'hecke_ring_index_factorization': [[2, 10], [3, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 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mf_hecke_cc • Show schema
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-
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{'Nk2': 15552, 'analytic_conductor': 47.084589681459306, 'char_conductor': 3, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': -1, 'char_values': [1728, 2, [703, 325, 1217], [2, 2, 1]], 'conrey_index': 1025, 'cusp_dim': 540, 'dim': 64, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 274928240320, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 8, 8], 'label': '1728.3.e', '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': 22, '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, 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mf_twists_cc • Show schema
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id: 48417584
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1025, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 94575867103020736, 'source_is_minimal': False, 'source_label': '1728.3.e.v.1025.2', 'source_level': 1728, 'target_conrey_index': 1025, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575867103020736, 'target_is_minimal': False, 'target_label': '1728.3.e.v.1025.2', 'target_level': 1728, 'twist_class_label': '864.3.e.e.161.1', 'twist_class_level': 864, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 48417585
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1025, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 94575867103020736, 'source_is_minimal': False, 'source_label': '1728.3.e.v.1025.2', 'source_level': 1728, 'target_conrey_index': 1025, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 94575867103020736, 'target_is_minimal': False, 'target_label': '1728.3.e.v.1025.8', 'target_level': 1728, 'twist_class_label': '864.3.e.e.161.1', 'twist_class_level': 864, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 48417586
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1025, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 94575867103020736, 'source_is_minimal': False, 'source_label': '1728.3.e.v.1025.2', 'source_level': 1728, 'target_conrey_index': 1025, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575867103020736, 'target_is_minimal': False, 'target_label': '1728.3.e.v.1025.1', 'target_level': 1728, 'twist_class_label': '864.3.e.e.161.1', 'twist_class_level': 864, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 48417587
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1025, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 94575867103020736, 'source_is_minimal': False, 'source_label': '1728.3.e.v.1025.2', 'source_level': 1728, 'target_conrey_index': 161, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 18014673437721440, 'target_is_minimal': True, 'target_label': '864.3.e.e.161.7', 'target_level': 864, 'twist_class_label': '864.3.e.e.161.1', 'twist_class_level': 864, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 48417588
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1025, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 94575867103020736, 'source_is_minimal': False, 'source_label': '1728.3.e.v.1025.2', 'source_level': 1728, 'target_conrey_index': 161, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 18014673437721440, 'target_is_minimal': True, 'target_label': '864.3.e.e.161.8', 'target_level': 864, 'twist_class_label': '864.3.e.e.161.1', 'twist_class_level': 864, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 48417589
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1025, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 94575867103020736, 'source_is_minimal': False, 'source_label': '1728.3.e.v.1025.2', 'source_level': 1728, 'target_conrey_index': 1025, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 94575867103020736, 'target_is_minimal': False, 'target_label': '1728.3.e.v.1025.7', 'target_level': 1728, 'twist_class_label': '864.3.e.e.161.1', 'twist_class_level': 864, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 48417590
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1025, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 94575867103020736, 'source_is_minimal': False, 'source_label': '1728.3.e.v.1025.2', 'source_level': 1728, 'target_conrey_index': 161, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673437721440, 'target_is_minimal': True, 'target_label': '864.3.e.e.161.2', 'target_level': 864, 'twist_class_label': '864.3.e.e.161.1', 'twist_class_level': 864, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 48417591
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1025, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 94575867103020736, 'source_is_minimal': False, 'source_label': '1728.3.e.v.1025.2', 'source_level': 1728, 'target_conrey_index': 161, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673437721440, 'target_is_minimal': True, 'target_label': '864.3.e.e.161.1', 'target_level': 864, 'twist_class_label': '864.3.e.e.161.1', '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: 2162425
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 94575867103020736, 'p': 2}
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id: 2162426
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 94575867103020736, 'p': 3}
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id: 2162427
{'charpoly_factorization': [[[193, 0, 58, 0, 1], 2]], 'hecke_orbit_code': 94575867103020736, 'p': 5}
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id: 2162428
{'charpoly_factorization': [[[193, 0, -122, 0, 1], 2]], 'hecke_orbit_code': 94575867103020736, 'p': 7}
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id: 2162429
{'charpoly_factorization': [[[1, 0, 34, 0, 1], 2]], 'hecke_orbit_code': 94575867103020736, 'p': 11}
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id: 2162430
{'charpoly_factorization': [[[-68, -4, 1], 4]], 'hecke_orbit_code': 94575867103020736, 'p': 13}
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id: 2162431
{'charpoly_factorization': [[[250128, 0, 1080, 0, 1], 2]], 'hecke_orbit_code': 94575867103020736, 'p': 17}
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id: 2162432
{'charpoly_factorization': [[[12352, 0, -464, 0, 1], 2]], 'hecke_orbit_code': 94575867103020736, 'p': 19}
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id: 2162433
{'charpoly_factorization': [[[5184, 0, 432, 0, 1], 2]], 'hecke_orbit_code': 94575867103020736, 'p': 23}
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id: 2162434
{'charpoly_factorization': [[[151312, 0, 1336, 0, 1], 2]], 'hecke_orbit_code': 94575867103020736, 'p': 29}
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id: 2162435
{'charpoly_factorization': [[[2733073, 0, -4490, 0, 1], 2]], 'hecke_orbit_code': 94575867103020736, 'p': 31}
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id: 2162436
{'charpoly_factorization': [[[-1784, 8, 1], 4]], 'hecke_orbit_code': 94575867103020736, 'p': 37}
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id: 2162437
{'charpoly_factorization': [[[605248, 0, 1648, 0, 1], 2]], 'hecke_orbit_code': 94575867103020736, 'p': 41}
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id: 2162438
{'charpoly_factorization': [[[7414288, 0, -5480, 0, 1], 2]], 'hecke_orbit_code': 94575867103020736, 'p': 43}
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id: 2162439
{'charpoly_factorization': [[[1547536, 0, 3784, 0, 1], 2]], 'hecke_orbit_code': 94575867103020736, 'p': 47}
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id: 2162440
{'charpoly_factorization': [[[16119553, 0, 8698, 0, 1], 2]], 'hecke_orbit_code': 94575867103020736, 'p': 53}
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id: 2162441
{'charpoly_factorization': [[[4477456, 0, 7432, 0, 1], 2]], 'hecke_orbit_code': 94575867103020736, 'p': 59}
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id: 2162442
{'charpoly_factorization': [[[-4464, 24, 1], 4]], 'hecke_orbit_code': 94575867103020736, 'p': 61}
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id: 2162443
{'charpoly_factorization': [[[16455952, 0, -10280, 0, 1], 2]], 'hecke_orbit_code': 94575867103020736, 'p': 67}
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id: 2162444
{'charpoly_factorization': [[[22391824, 0, 14872, 0, 1], 2]], 'hecke_orbit_code': 94575867103020736, 'p': 71}
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id: 2162445
{'charpoly_factorization': [[[-7983, 54, 1], 4]], 'hecke_orbit_code': 94575867103020736, 'p': 73}
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id: 2162446
{'charpoly_factorization': [[[892432, 0, -13304, 0, 1], 2]], 'hecke_orbit_code': 94575867103020736, 'p': 79}
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id: 2162447
{'charpoly_factorization': [[[29844369, 0, 23922, 0, 1], 2]], 'hecke_orbit_code': 94575867103020736, 'p': 83}
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id: 2162448
{'charpoly_factorization': [[[350701072, 0, 39016, 0, 1], 2]], 'hecke_orbit_code': 94575867103020736, 'p': 89}
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id: 2162449
{'charpoly_factorization': [[[-4583, 10, 1], 4]], 'hecke_orbit_code': 94575867103020736, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 22, 'label': '1728.3.e.v', 'level': 1728, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 253113000
{'hecke_orbit_code': 94575867103020736, 'n': 1, 'trace_an': 8}
-
id: 253113001
{'hecke_orbit_code': 94575867103020736, 'n': 2, 'trace_an': 0}
-
id: 253113002
{'hecke_orbit_code': 94575867103020736, 'n': 3, 'trace_an': 0}
-
id: 253113003
{'hecke_orbit_code': 94575867103020736, 'n': 4, 'trace_an': 0}
-
id: 253113004
{'hecke_orbit_code': 94575867103020736, 'n': 5, 'trace_an': 0}
-
id: 253113005
{'hecke_orbit_code': 94575867103020736, 'n': 6, 'trace_an': 0}
-
id: 253113006
{'hecke_orbit_code': 94575867103020736, 'n': 7, 'trace_an': 0}
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id: 253113007
{'hecke_orbit_code': 94575867103020736, 'n': 8, 'trace_an': 0}
-
id: 253113008
{'hecke_orbit_code': 94575867103020736, 'n': 9, 'trace_an': 0}
-
id: 253113009
{'hecke_orbit_code': 94575867103020736, 'n': 10, 'trace_an': 0}
-
id: 253113010
{'hecke_orbit_code': 94575867103020736, 'n': 11, 'trace_an': 0}
-
id: 253113011
{'hecke_orbit_code': 94575867103020736, 'n': 12, 'trace_an': 0}
-
id: 253113012
{'hecke_orbit_code': 94575867103020736, 'n': 13, 'trace_an': 16}
-
id: 253113013
{'hecke_orbit_code': 94575867103020736, 'n': 14, 'trace_an': 0}
-
id: 253113014
{'hecke_orbit_code': 94575867103020736, 'n': 15, 'trace_an': 0}
-
id: 253113015
{'hecke_orbit_code': 94575867103020736, 'n': 16, 'trace_an': 0}
-
id: 253113016
{'hecke_orbit_code': 94575867103020736, 'n': 17, 'trace_an': 0}
-
id: 253113017
{'hecke_orbit_code': 94575867103020736, 'n': 18, 'trace_an': 0}
-
id: 253113018
{'hecke_orbit_code': 94575867103020736, 'n': 19, 'trace_an': 0}
-
id: 253113019
{'hecke_orbit_code': 94575867103020736, 'n': 20, 'trace_an': 0}
-
id: 253113020
{'hecke_orbit_code': 94575867103020736, 'n': 21, 'trace_an': 0}
-
id: 253113021
{'hecke_orbit_code': 94575867103020736, 'n': 22, 'trace_an': 0}
-
id: 253113022
{'hecke_orbit_code': 94575867103020736, 'n': 23, 'trace_an': 0}
-
id: 253113023
{'hecke_orbit_code': 94575867103020736, 'n': 24, 'trace_an': 0}
-
id: 253113024
{'hecke_orbit_code': 94575867103020736, 'n': 25, 'trace_an': -32}
-
id: 253113025
{'hecke_orbit_code': 94575867103020736, 'n': 26, 'trace_an': 0}
-
id: 253113026
{'hecke_orbit_code': 94575867103020736, 'n': 27, 'trace_an': 0}
-
id: 253113027
{'hecke_orbit_code': 94575867103020736, 'n': 28, 'trace_an': 0}
-
id: 253113028
{'hecke_orbit_code': 94575867103020736, 'n': 29, 'trace_an': 0}
-
id: 253113029
{'hecke_orbit_code': 94575867103020736, 'n': 30, 'trace_an': 0}
-
id: 253113030
{'hecke_orbit_code': 94575867103020736, 'n': 31, 'trace_an': 0}
-
id: 253113031
{'hecke_orbit_code': 94575867103020736, 'n': 32, 'trace_an': 0}
-
id: 253113032
{'hecke_orbit_code': 94575867103020736, 'n': 33, 'trace_an': 0}
-
id: 253113033
{'hecke_orbit_code': 94575867103020736, 'n': 34, 'trace_an': 0}
-
id: 253113034
{'hecke_orbit_code': 94575867103020736, 'n': 35, 'trace_an': 0}
-
id: 253113035
{'hecke_orbit_code': 94575867103020736, 'n': 36, 'trace_an': 0}
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