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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': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [625, 0, 58, 0, 1]], [7, [81, 0, -90, 0, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90072267475650240, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 6718464, 'hecke_ring_index_factorization': [[2, 10], [3, 8]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 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mf_hecke_cc • Show schema
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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
Hide schema
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id: 48362125
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1025, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 90072267475650240, 'source_is_minimal': False, 'source_label': '1728.3.e.u.1025.7', 'source_level': 1728, 'target_conrey_index': 1025, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 90072267475650240, 'target_is_minimal': False, 'target_label': '1728.3.e.u.1025.7', 'target_level': 1728, 'twist_class_label': '864.3.e.f.161.1', 'twist_class_level': 864, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 48362126
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1025, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 90072267475650240, 'source_is_minimal': False, 'source_label': '1728.3.e.u.1025.7', 'source_level': 1728, 'target_conrey_index': 1025, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90072267475650240, 'target_is_minimal': False, 'target_label': '1728.3.e.u.1025.1', 'target_level': 1728, 'twist_class_label': '864.3.e.f.161.1', 'twist_class_level': 864, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 48362127
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1025, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 90072267475650240, 'source_is_minimal': False, 'source_label': '1728.3.e.u.1025.7', 'source_level': 1728, 'target_conrey_index': 1025, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 90072267475650240, 'target_is_minimal': False, 'target_label': '1728.3.e.u.1025.8', 'target_level': 1728, 'twist_class_label': '864.3.e.f.161.1', 'twist_class_level': 864, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 48362128
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1025, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 90072267475650240, 'source_is_minimal': False, 'source_label': '1728.3.e.u.1025.7', 'source_level': 1728, 'target_conrey_index': 161, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518273065091936, 'target_is_minimal': True, 'target_label': '864.3.e.f.161.2', 'target_level': 864, 'twist_class_label': '864.3.e.f.161.1', 'twist_class_level': 864, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 48362129
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1025, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 90072267475650240, 'source_is_minimal': False, 'source_label': '1728.3.e.u.1025.7', 'source_level': 1728, 'target_conrey_index': 161, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273065091936, 'target_is_minimal': True, 'target_label': '864.3.e.f.161.1', 'target_level': 864, 'twist_class_label': '864.3.e.f.161.1', 'twist_class_level': 864, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 48362130
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1025, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 90072267475650240, 'source_is_minimal': False, 'source_label': '1728.3.e.u.1025.7', 'source_level': 1728, 'target_conrey_index': 1025, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 90072267475650240, 'target_is_minimal': False, 'target_label': '1728.3.e.u.1025.2', 'target_level': 1728, 'twist_class_label': '864.3.e.f.161.1', 'twist_class_level': 864, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 48362131
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1025, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 90072267475650240, 'source_is_minimal': False, 'source_label': '1728.3.e.u.1025.7', 'source_level': 1728, 'target_conrey_index': 161, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 22518273065091936, 'target_is_minimal': True, 'target_label': '864.3.e.f.161.7', 'target_level': 864, 'twist_class_label': '864.3.e.f.161.1', 'twist_class_level': 864, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 48362132
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1025, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 90072267475650240, 'source_is_minimal': False, 'source_label': '1728.3.e.u.1025.7', 'source_level': 1728, 'target_conrey_index': 161, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 22518273065091936, 'target_is_minimal': True, 'target_label': '864.3.e.f.161.8', 'target_level': 864, 'twist_class_label': '864.3.e.f.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
Hide schema
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id: 2162400
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 90072267475650240, 'p': 2}
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id: 2162401
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 90072267475650240, 'p': 3}
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id: 2162402
{'charpoly_factorization': [[[625, 0, 58, 0, 1], 2]], 'hecke_orbit_code': 90072267475650240, 'p': 5}
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id: 2162403
{'charpoly_factorization': [[[81, 0, -90, 0, 1], 2]], 'hecke_orbit_code': 90072267475650240, 'p': 7}
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id: 2162404
{'charpoly_factorization': [[[42849, 0, 450, 0, 1], 2]], 'hecke_orbit_code': 90072267475650240, 'p': 11}
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id: 2162405
{'charpoly_factorization': [[[-180, 12, 1], 4]], 'hecke_orbit_code': 90072267475650240, 'p': 13}
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id: 2162406
{'charpoly_factorization': [[[5776, 0, 280, 0, 1], 2]], 'hecke_orbit_code': 90072267475650240, 'p': 17}
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id: 2162407
{'charpoly_factorization': [[[129600, 0, -1008, 0, 1], 2]], 'hecke_orbit_code': 90072267475650240, 'p': 19}
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id: 2162408
{'charpoly_factorization': [[[5184, 0, 720, 0, 1], 2]], 'hecke_orbit_code': 90072267475650240, 'p': 23}
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id: 2162409
{'charpoly_factorization': [[[400, 0, 472, 0, 1], 2]], 'hecke_orbit_code': 90072267475650240, 'p': 29}
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id: 2162410
{'charpoly_factorization': [[[1476225, 0, -3402, 0, 1], 2]], 'hecke_orbit_code': 90072267475650240, 'p': 31}
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id: 2162411
{'charpoly_factorization': [[[-1544, -40, 1], 4]], 'hecke_orbit_code': 90072267475650240, 'p': 37}
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id: 2162412
{'charpoly_factorization': [[[392, 0, 1], 4]], 'hecke_orbit_code': 90072267475650240, 'p': 41}
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id: 2162413
{'charpoly_factorization': [[[11696400, 0, -7272, 0, 1], 2]], 'hecke_orbit_code': 90072267475650240, 'p': 43}
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id: 2162414
{'charpoly_factorization': [[[1296, 0, 3528, 0, 1], 2]], 'hecke_orbit_code': 90072267475650240, 'p': 47}
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id: 2162415
{'charpoly_factorization': [[[4774225, 0, 4378, 0, 1], 2]], 'hecke_orbit_code': 90072267475650240, 'p': 53}
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id: 2162416
{'charpoly_factorization': [[[810000, 0, 5256, 0, 1], 2]], 'hecke_orbit_code': 90072267475650240, 'p': 59}
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id: 2162417
{'charpoly_factorization': [[[-4, 1], 8]], 'hecke_orbit_code': 90072267475650240, 'p': 61}
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id: 2162418
{'charpoly_factorization': [[[685584, 0, -12456, 0, 1], 2]], 'hecke_orbit_code': 90072267475650240, 'p': 67}
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id: 2162419
{'charpoly_factorization': [[[2396304, 0, 3960, 0, 1], 2]], 'hecke_orbit_code': 90072267475650240, 'p': 71}
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id: 2162420
{'charpoly_factorization': [[[225, -42, 1], 4]], 'hecke_orbit_code': 90072267475650240, 'p': 73}
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id: 2162421
{'charpoly_factorization': [[[37896336, 0, -22680, 0, 1], 2]], 'hecke_orbit_code': 90072267475650240, 'p': 79}
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id: 2162422
{'charpoly_factorization': [[[54066609, 0, 15570, 0, 1], 2]], 'hecke_orbit_code': 90072267475650240, 'p': 83}
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id: 2162423
{'charpoly_factorization': [[[5779216, 0, 16360, 0, 1], 2]], 'hecke_orbit_code': 90072267475650240, 'p': 89}
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id: 2162424
{'charpoly_factorization': [[[-27, 1], 8]], 'hecke_orbit_code': 90072267475650240, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 21, 'label': '1728.3.e.u', 'level': 1728, 'portrait': 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'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 250983000
{'hecke_orbit_code': 90072267475650240, 'n': 1, 'trace_an': 8}
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id: 250983001
{'hecke_orbit_code': 90072267475650240, 'n': 2, 'trace_an': 0}
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id: 250983002
{'hecke_orbit_code': 90072267475650240, 'n': 3, 'trace_an': 0}
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id: 250983003
{'hecke_orbit_code': 90072267475650240, 'n': 4, 'trace_an': 0}
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id: 250983004
{'hecke_orbit_code': 90072267475650240, 'n': 5, 'trace_an': 0}
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id: 250983005
{'hecke_orbit_code': 90072267475650240, 'n': 6, 'trace_an': 0}
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id: 250983006
{'hecke_orbit_code': 90072267475650240, 'n': 7, 'trace_an': 0}
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id: 250983007
{'hecke_orbit_code': 90072267475650240, 'n': 8, 'trace_an': 0}
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id: 250983008
{'hecke_orbit_code': 90072267475650240, 'n': 9, 'trace_an': 0}
-
id: 250983009
{'hecke_orbit_code': 90072267475650240, 'n': 10, 'trace_an': 0}
-
id: 250983010
{'hecke_orbit_code': 90072267475650240, 'n': 11, 'trace_an': 0}
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id: 250983011
{'hecke_orbit_code': 90072267475650240, 'n': 12, 'trace_an': 0}
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{'hecke_orbit_code': 90072267475650240, 'n': 998, 'trace_an': 0}
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id: 250983998
{'hecke_orbit_code': 90072267475650240, 'n': 999, 'trace_an': 0}
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id: 250983999
{'hecke_orbit_code': 90072267475650240, 'n': 1000, 'trace_an': 0}