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mf_newforms • Show schema
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{'Nk2': 2760, 'analytic_conductor': 5.509677739468347, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, 1], [23, -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': [690, 1, [461, 277, 511], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [2, 1]], [11, [2, 1]], [17, [4, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797778098, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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mf_twists_cc • Show schema
Hide schema
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id: 45520091
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797778098, 'source_is_minimal': True, 'source_label': '690.2.a.g.1.1', 'source_level': 690, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797778098, 'target_is_minimal': True, 'target_label': '690.2.a.g.1.1', 'target_level': 690, 'twist_class_label': '690.2.a.g.1.1', 'twist_class_level': 690, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45520092
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797778098, 'source_is_minimal': True, 'source_label': '690.2.a.g.1.1', 'source_level': 690, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543038486, 'target_is_minimal': False, 'target_label': '2070.2.a.e.1.1', 'target_level': 2070, 'twist_class_label': '690.2.a.g.1.1', 'twist_class_level': 690, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45520093
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797778098, 'source_is_minimal': True, 'source_label': '690.2.a.g.1.1', 'source_level': 690, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990717822352, 'target_is_minimal': False, 'target_label': '5520.2.a.z.1.1', 'target_level': 5520, 'twist_class_label': '690.2.a.g.1.1', 'twist_class_level': 690, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45520094
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797778098, 'source_is_minimal': True, 'source_label': '690.2.a.g.1.1', 'source_level': 690, 'target_conrey_index': 2899, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511005074099578, 'target_is_minimal': False, 'target_label': '3450.2.d.d.2899.2', 'target_level': 3450, 'twist_class_label': '690.2.a.g.1.1', 'twist_class_level': 690, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45520095
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797778098, 'source_is_minimal': True, 'source_label': '690.2.a.g.1.1', 'source_level': 690, 'target_conrey_index': 2899, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511005074099578, 'target_is_minimal': False, 'target_label': '3450.2.d.d.2899.1', 'target_level': 3450, 'twist_class_label': '690.2.a.g.1.1', 'twist_class_level': 690, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45520096
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797778098, 'source_is_minimal': True, 'source_label': '690.2.a.g.1.1', 'source_level': 690, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934633338, 'target_is_minimal': False, 'target_label': '3450.2.a.l.1.1', 'target_level': 3450, 'twist_class_label': '690.2.a.g.1.1', 'twist_class_level': 690, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1211525
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 2}
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id: 1211526
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 3}
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id: 1211527
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 5}
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id: 1211528
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 7}
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id: 1211529
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 11}
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id: 1211530
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 13}
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id: 1211531
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 17}
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id: 1211532
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 19}
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id: 1211533
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 23}
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id: 1211534
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 29}
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id: 1211535
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 31}
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id: 1211536
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 37}
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id: 1211537
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 41}
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id: 1211538
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 43}
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id: 1211539
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 47}
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id: 1211540
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 53}
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id: 1211541
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 59}
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id: 1211542
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 61}
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id: 1211543
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 67}
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id: 1211544
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 71}
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id: 1211545
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 73}
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id: 1211546
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 79}
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id: 1211547
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 83}
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id: 1211548
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 89}
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id: 1211549
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797778098, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '690.2.a.g', 'level': 690, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 174675000
{'hecke_orbit_code': 27021597797778098, 'n': 1, 'trace_an': 1}
-
id: 174675001
{'hecke_orbit_code': 27021597797778098, 'n': 2, 'trace_an': 1}
-
id: 174675002
{'hecke_orbit_code': 27021597797778098, 'n': 3, 'trace_an': -1}
-
id: 174675003
{'hecke_orbit_code': 27021597797778098, 'n': 4, 'trace_an': 1}
-
id: 174675004
{'hecke_orbit_code': 27021597797778098, 'n': 5, 'trace_an': -1}
-
id: 174675005
{'hecke_orbit_code': 27021597797778098, 'n': 6, 'trace_an': -1}
-
id: 174675006
{'hecke_orbit_code': 27021597797778098, 'n': 7, 'trace_an': -2}
-
id: 174675007
{'hecke_orbit_code': 27021597797778098, 'n': 8, 'trace_an': 1}
-
id: 174675008
{'hecke_orbit_code': 27021597797778098, 'n': 9, 'trace_an': 1}
-
id: 174675009
{'hecke_orbit_code': 27021597797778098, 'n': 10, 'trace_an': -1}
-
id: 174675010
{'hecke_orbit_code': 27021597797778098, 'n': 11, 'trace_an': -2}
-
id: 174675011
{'hecke_orbit_code': 27021597797778098, 'n': 12, 'trace_an': -1}
-
id: 174675012
{'hecke_orbit_code': 27021597797778098, 'n': 13, 'trace_an': -6}
-
id: 174675013
{'hecke_orbit_code': 27021597797778098, 'n': 14, 'trace_an': -2}
-
id: 174675014
{'hecke_orbit_code': 27021597797778098, 'n': 15, 'trace_an': 1}
-
id: 174675015
{'hecke_orbit_code': 27021597797778098, 'n': 16, 'trace_an': 1}
-
id: 174675016
{'hecke_orbit_code': 27021597797778098, 'n': 17, 'trace_an': -4}
-
id: 174675017
{'hecke_orbit_code': 27021597797778098, 'n': 18, 'trace_an': 1}
-
id: 174675018
{'hecke_orbit_code': 27021597797778098, 'n': 19, 'trace_an': 0}
-
id: 174675019
{'hecke_orbit_code': 27021597797778098, 'n': 20, 'trace_an': -1}
-
id: 174675020
{'hecke_orbit_code': 27021597797778098, 'n': 21, 'trace_an': 2}
-
id: 174675021
{'hecke_orbit_code': 27021597797778098, 'n': 22, 'trace_an': -2}
-
id: 174675022
{'hecke_orbit_code': 27021597797778098, 'n': 23, 'trace_an': 1}
-
id: 174675023
{'hecke_orbit_code': 27021597797778098, 'n': 24, 'trace_an': -1}
-
id: 174675024
{'hecke_orbit_code': 27021597797778098, 'n': 25, 'trace_an': 1}
-
id: 174675025
{'hecke_orbit_code': 27021597797778098, 'n': 26, 'trace_an': -6}
-
id: 174675026
{'hecke_orbit_code': 27021597797778098, 'n': 27, 'trace_an': -1}
-
id: 174675027
{'hecke_orbit_code': 27021597797778098, 'n': 28, 'trace_an': -2}
-
id: 174675028
{'hecke_orbit_code': 27021597797778098, 'n': 29, 'trace_an': 2}
-
id: 174675029
{'hecke_orbit_code': 27021597797778098, 'n': 30, 'trace_an': 1}
-
id: 174675030
{'hecke_orbit_code': 27021597797778098, 'n': 31, 'trace_an': 0}
-
id: 174675031
{'hecke_orbit_code': 27021597797778098, 'n': 32, 'trace_an': 1}
-
id: 174675032
{'hecke_orbit_code': 27021597797778098, 'n': 33, 'trace_an': 2}
-
id: 174675033
{'hecke_orbit_code': 27021597797778098, 'n': 34, 'trace_an': -4}
-
id: 174675034
{'hecke_orbit_code': 27021597797778098, 'n': 35, 'trace_an': 2}
-
id: 174675035
{'hecke_orbit_code': 27021597797778098, 'n': 36, 'trace_an': 1}
-
id: 174675036
{'hecke_orbit_code': 27021597797778098, 'n': 37, 'trace_an': -8}
-
id: 174675037
{'hecke_orbit_code': 27021597797778098, 'n': 38, 'trace_an': 0}
-
id: 174675038
{'hecke_orbit_code': 27021597797778098, 'n': 39, 'trace_an': 6}
-
id: 174675039
{'hecke_orbit_code': 27021597797778098, 'n': 40, 'trace_an': -1}
-
id: 174675040
{'hecke_orbit_code': 27021597797778098, 'n': 41, 'trace_an': -6}
-
id: 174675041
{'hecke_orbit_code': 27021597797778098, 'n': 42, 'trace_an': 2}
-
id: 174675042
{'hecke_orbit_code': 27021597797778098, 'n': 43, 'trace_an': -4}
-
id: 174675043
{'hecke_orbit_code': 27021597797778098, 'n': 44, 'trace_an': -2}
-
id: 174675044
{'hecke_orbit_code': 27021597797778098, 'n': 45, 'trace_an': -1}
-
id: 174675045
{'hecke_orbit_code': 27021597797778098, 'n': 46, 'trace_an': 1}
-
id: 174675046
{'hecke_orbit_code': 27021597797778098, 'n': 47, 'trace_an': 0}
-
id: 174675047
{'hecke_orbit_code': 27021597797778098, 'n': 48, 'trace_an': -1}
-
id: 174675048
{'hecke_orbit_code': 27021597797778098, 'n': 49, 'trace_an': -3}
-
id: 174675049
{'hecke_orbit_code': 27021597797778098, 'n': 50, 'trace_an': 1}
-
id: 174675050
{'hecke_orbit_code': 27021597797778098, 'n': 51, 'trace_an': 4}
-
id: 174675051
{'hecke_orbit_code': 27021597797778098, 'n': 52, 'trace_an': -6}
-
id: 174675052
{'hecke_orbit_code': 27021597797778098, 'n': 53, 'trace_an': 6}
-
id: 174675053
{'hecke_orbit_code': 27021597797778098, 'n': 54, 'trace_an': -1}
-
id: 174675054
{'hecke_orbit_code': 27021597797778098, 'n': 55, 'trace_an': 2}
-
id: 174675055
{'hecke_orbit_code': 27021597797778098, 'n': 56, 'trace_an': -2}
-
id: 174675056
{'hecke_orbit_code': 27021597797778098, 'n': 57, 'trace_an': 0}
-
id: 174675057
{'hecke_orbit_code': 27021597797778098, 'n': 58, 'trace_an': 2}
-
id: 174675058
{'hecke_orbit_code': 27021597797778098, 'n': 59, 'trace_an': 0}
-
id: 174675059
{'hecke_orbit_code': 27021597797778098, 'n': 60, 'trace_an': 1}
-
id: 174675060
{'hecke_orbit_code': 27021597797778098, 'n': 61, 'trace_an': -8}
-
id: 174675061
{'hecke_orbit_code': 27021597797778098, 'n': 62, 'trace_an': 0}
-
id: 174675062
{'hecke_orbit_code': 27021597797778098, 'n': 63, 'trace_an': -2}
-
id: 174675063
{'hecke_orbit_code': 27021597797778098, 'n': 64, 'trace_an': 1}
-
id: 174675064
{'hecke_orbit_code': 27021597797778098, 'n': 65, 'trace_an': 6}
-
id: 174675065
{'hecke_orbit_code': 27021597797778098, 'n': 66, 'trace_an': 2}
-
id: 174675066
{'hecke_orbit_code': 27021597797778098, 'n': 67, 'trace_an': -4}
-
id: 174675067
{'hecke_orbit_code': 27021597797778098, 'n': 68, 'trace_an': -4}
-
id: 174675068
{'hecke_orbit_code': 27021597797778098, 'n': 69, 'trace_an': -1}
-
id: 174675069
{'hecke_orbit_code': 27021597797778098, 'n': 70, 'trace_an': 2}
-
id: 174675070
{'hecke_orbit_code': 27021597797778098, 'n': 71, 'trace_an': 16}
-
id: 174675071
{'hecke_orbit_code': 27021597797778098, 'n': 72, 'trace_an': 1}
-
id: 174675072
{'hecke_orbit_code': 27021597797778098, 'n': 73, 'trace_an': 6}
-
id: 174675073
{'hecke_orbit_code': 27021597797778098, 'n': 74, 'trace_an': -8}
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id: 174675074
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