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mf_newforms • Show schema
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{'Nk2': 8960, 'analytic_conductor': 17.886490052766806, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 40, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 2, 'char_parity': 1, 'char_values': [2240, 2, [1471, 1541, 897, 1921], [2, 1, 1, 2]], 'cm_discs': [], 'conrey_index': 1569, 'conrey_indexes': [1569], 'dim': 12, 'field_disc': 113650067005505536, 'field_disc_factorization': [[2, 20], [11, 2], [173, 4]], 'field_poly': [729, 0, 243, 0, 99, 0, 22, 0, 11, 0, 3, 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': [[3, [-44, 0, 56, 0, -15, 0, 1]], [13, [-2, -2, 5, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504355575171264, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 64, 'hecke_ring_index_factorization': [[2, 6]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 8960, 'analytic_conductor': 17.886490052766806, 'char_conductor': 40, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 2, 'char_parity': 1, 'char_values': [2240, 2, [1471, 1541, 897, 1921], [2, 1, 1, 2]], 'conrey_index': 1569, 'cusp_dim': 360, 'dim': 72, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 13], 'hecke_orbit_code': 755947800768, 'hecke_orbit_dims': [12, 12, 24, 24], 'label': '2240.2.l', 'level': 2240, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'mf_dim': 408, 'mf_new_dim': 72, 'num_forms': 4, 'prim_orbit_index': 6, 'relative_dim': 72, 'sturm_bound': 768, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 36345888
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1569, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 4504355575171264, 'source_is_minimal': True, 'source_label': '2240.2.l.b.1569.6', 'source_level': 2240, 'target_conrey_index': 1569, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504355575171264, 'target_is_minimal': True, 'target_label': '2240.2.l.b.1569.6', 'target_level': 2240, 'twist_class_label': '2240.2.l.a.1569.5', 'twist_class_level': 2240, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 36345889
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1569, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 4504355575171264, 'source_is_minimal': True, 'source_label': '2240.2.l.b.1569.6', 'source_level': 2240, 'target_conrey_index': 1569, 'target_dim': 12, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4504355575171264, 'target_is_minimal': True, 'target_label': '2240.2.l.b.1569.8', 'target_level': 2240, 'twist_class_label': '2240.2.l.a.1569.5', 'twist_class_level': 2240, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 36345890
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1569, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 4504355575171264, 'source_is_minimal': True, 'source_label': '2240.2.l.b.1569.6', 'source_level': 2240, 'target_conrey_index': 1569, 'target_dim': 12, 'target_embedding_index': 8, 'target_hecke_orbit_code': 755947800768, 'target_is_minimal': True, 'target_label': '2240.2.l.a.1569.8', 'target_level': 2240, 'twist_class_label': '2240.2.l.a.1569.5', 'twist_class_level': 2240, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 36345891
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1569, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 4504355575171264, 'source_is_minimal': True, 'source_label': '2240.2.l.b.1569.6', 'source_level': 2240, 'target_conrey_index': 1569, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 755947800768, 'target_is_minimal': True, 'target_label': '2240.2.l.a.1569.5', 'target_level': 2240, 'twist_class_label': '2240.2.l.a.1569.5', 'twist_class_level': 2240, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 36345892
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1569, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 4504355575171264, 'source_is_minimal': True, 'source_label': '2240.2.l.b.1569.6', 'source_level': 2240, 'target_conrey_index': 1569, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 755947800768, 'target_is_minimal': True, 'target_label': '2240.2.l.a.1569.7', 'target_level': 2240, 'twist_class_label': '2240.2.l.a.1569.5', 'twist_class_level': 2240, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 36345893
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1569, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 4504355575171264, 'source_is_minimal': True, 'source_label': '2240.2.l.b.1569.6', 'source_level': 2240, 'target_conrey_index': 1569, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 755947800768, 'target_is_minimal': True, 'target_label': '2240.2.l.a.1569.6', 'target_level': 2240, 'twist_class_label': '2240.2.l.a.1569.5', 'twist_class_level': 2240, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 36345894
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1569, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 4504355575171264, 'source_is_minimal': True, 'source_label': '2240.2.l.b.1569.6', 'source_level': 2240, 'target_conrey_index': 1569, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4504355575171264, 'target_is_minimal': True, 'target_label': '2240.2.l.b.1569.7', 'target_level': 2240, 'twist_class_label': '2240.2.l.a.1569.5', 'twist_class_level': 2240, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 36345895
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1569, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 4504355575171264, 'source_is_minimal': True, 'source_label': '2240.2.l.b.1569.6', 'source_level': 2240, 'target_conrey_index': 1569, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504355575171264, 'target_is_minimal': True, 'target_label': '2240.2.l.b.1569.5', 'target_level': 2240, 'twist_class_label': '2240.2.l.a.1569.5', 'twist_class_level': 2240, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2518950
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4504355575171264, 'p': 2}
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id: 2518951
{'charpoly_factorization': [[[-44, 0, 56, 0, -15, 0, 1], 2]], 'hecke_orbit_code': 4504355575171264, 'p': 3}
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id: 2518952
{'charpoly_factorization': [[[125, -50, 25, -16, 5, -2, 1], 2]], 'hecke_orbit_code': 4504355575171264, 'p': 5}
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id: 2518953
{'charpoly_factorization': [[[1, 0, 1], 6]], 'hecke_orbit_code': 4504355575171264, 'p': 7}
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id: 2518954
{'charpoly_factorization': [[[2704, 0, 680, 0, 49, 0, 1], 2]], 'hecke_orbit_code': 4504355575171264, 'p': 11}
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id: 2518955
{'charpoly_factorization': [[[-2, -2, 5, 1], 4]], 'hecke_orbit_code': 4504355575171264, 'p': 13}
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id: 2518956
{'charpoly_factorization': [[[176, 0, 152, 0, 35, 0, 1], 2]], 'hecke_orbit_code': 4504355575171264, 'p': 17}
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id: 2518957
{'charpoly_factorization': [[[256, 0, 164, 0, 28, 0, 1], 2]], 'hecke_orbit_code': 4504355575171264, 'p': 19}
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id: 2518958
{'charpoly_factorization': [[[3136, 0, 2160, 0, 92, 0, 1], 2]], 'hecke_orbit_code': 4504355575171264, 'p': 23}
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id: 2518959
{'charpoly_factorization': [[[85184, 0, 6160, 0, 139, 0, 1], 2]], 'hecke_orbit_code': 4504355575171264, 'p': 29}
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id: 2518960
{'charpoly_factorization': [[[-2816, 0, 896, 0, -60, 0, 1], 2]], 'hecke_orbit_code': 4504355575171264, 'p': 31}
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id: 2518961
{'charpoly_factorization': [[[-32, -64, 6, 1], 4]], 'hecke_orbit_code': 4504355575171264, 'p': 37}
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id: 2518962
{'charpoly_factorization': [[[-2, 1], 12]], 'hecke_orbit_code': 4504355575171264, 'p': 41}
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id: 2518963
{'charpoly_factorization': [[[-45056, 0, 12048, 0, -216, 0, 1], 2]], 'hecke_orbit_code': 4504355575171264, 'p': 43}
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id: 2518964
{'charpoly_factorization': [[[256, 0, 352, 0, 65, 0, 1], 2]], 'hecke_orbit_code': 4504355575171264, 'p': 47}
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id: 2518965
{'charpoly_factorization': [[[112, -40, -2, 1], 4]], 'hecke_orbit_code': 4504355575171264, 'p': 53}
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id: 2518966
{'charpoly_factorization': [[[38416, 0, 4116, 0, 128, 0, 1], 2]], 'hecke_orbit_code': 4504355575171264, 'p': 59}
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id: 2518967
{'charpoly_factorization': [[[180224, 0, 12644, 0, 212, 0, 1], 2]], 'hecke_orbit_code': 4504355575171264, 'p': 61}
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id: 2518968
{'charpoly_factorization': [[[-1301696, 0, 36976, 0, -340, 0, 1], 2]], 'hecke_orbit_code': 4504355575171264, 'p': 67}
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id: 2518969
{'charpoly_factorization': [[[-704, 0, 2608, 0, -196, 0, 1], 2]], 'hecke_orbit_code': 4504355575171264, 'p': 71}
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id: 2518970
{'charpoly_factorization': [[[45056, 0, 12048, 0, 216, 0, 1], 2]], 'hecke_orbit_code': 4504355575171264, 'p': 73}
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id: 2518971
{'charpoly_factorization': [[[-790064, 0, 30616, 0, -331, 0, 1], 2]], 'hecke_orbit_code': 4504355575171264, 'p': 79}
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id: 2518972
{'charpoly_factorization': [[[-240944, 0, 15156, 0, -232, 0, 1], 2]], 'hecke_orbit_code': 4504355575171264, 'p': 83}
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id: 2518973
{'charpoly_factorization': [[[-16, 44, -16, 1], 4]], 'hecke_orbit_code': 4504355575171264, 'p': 89}
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id: 2518974
{'charpoly_factorization': [[[1655984, 0, 46616, 0, 387, 0, 1], 2]], 'hecke_orbit_code': 4504355575171264, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 12, 'hecke_orbit': 2, 'label': '2240.2.l.b', 'level': 2240, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 92477000
{'hecke_orbit_code': 4504355575171264, 'n': 1, 'trace_an': 12}
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id: 92477001
{'hecke_orbit_code': 4504355575171264, 'n': 2, 'trace_an': 0}
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id: 92477002
{'hecke_orbit_code': 4504355575171264, 'n': 3, 'trace_an': 0}
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id: 92477003
{'hecke_orbit_code': 4504355575171264, 'n': 4, 'trace_an': 0}
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id: 92477004
{'hecke_orbit_code': 4504355575171264, 'n': 5, 'trace_an': 4}
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id: 92477005
{'hecke_orbit_code': 4504355575171264, 'n': 6, 'trace_an': 0}
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id: 92477006
{'hecke_orbit_code': 4504355575171264, 'n': 7, 'trace_an': 0}
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id: 92477007
{'hecke_orbit_code': 4504355575171264, 'n': 8, 'trace_an': 0}
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id: 92477008
{'hecke_orbit_code': 4504355575171264, 'n': 9, 'trace_an': 24}
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id: 92477009
{'hecke_orbit_code': 4504355575171264, 'n': 10, 'trace_an': 0}
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id: 92477010
{'hecke_orbit_code': 4504355575171264, 'n': 11, 'trace_an': 0}
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id: 92477011
{'hecke_orbit_code': 4504355575171264, 'n': 12, 'trace_an': 0}
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id: 92477012
{'hecke_orbit_code': 4504355575171264, 'n': 13, 'trace_an': -20}
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id: 92477013
{'hecke_orbit_code': 4504355575171264, 'n': 14, 'trace_an': 0}
-
id: 92477014
{'hecke_orbit_code': 4504355575171264, 'n': 15, 'trace_an': 0}
-
id: 92477015
{'hecke_orbit_code': 4504355575171264, 'n': 16, 'trace_an': 0}
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id: 92477016
{'hecke_orbit_code': 4504355575171264, 'n': 17, 'trace_an': 0}
-
id: 92477017
{'hecke_orbit_code': 4504355575171264, 'n': 18, 'trace_an': 0}
-
id: 92477018
{'hecke_orbit_code': 4504355575171264, 'n': 19, 'trace_an': 0}
-
id: 92477019
{'hecke_orbit_code': 4504355575171264, 'n': 20, 'trace_an': 0}
-
id: 92477020
{'hecke_orbit_code': 4504355575171264, 'n': 21, 'trace_an': 0}
-
id: 92477021
{'hecke_orbit_code': 4504355575171264, 'n': 22, 'trace_an': 0}
-
id: 92477022
{'hecke_orbit_code': 4504355575171264, 'n': 23, 'trace_an': 0}
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id: 92477023
{'hecke_orbit_code': 4504355575171264, 'n': 24, 'trace_an': 0}
-
id: 92477024
{'hecke_orbit_code': 4504355575171264, 'n': 25, 'trace_an': -12}
-
id: 92477025
{'hecke_orbit_code': 4504355575171264, 'n': 26, 'trace_an': 0}
-
id: 92477026
{'hecke_orbit_code': 4504355575171264, 'n': 27, 'trace_an': 0}
-
id: 92477027
{'hecke_orbit_code': 4504355575171264, 'n': 28, 'trace_an': 0}
-
id: 92477028
{'hecke_orbit_code': 4504355575171264, 'n': 29, 'trace_an': 0}
-
id: 92477029
{'hecke_orbit_code': 4504355575171264, 'n': 30, 'trace_an': 0}
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id: 92477030
{'hecke_orbit_code': 4504355575171264, 'n': 31, 'trace_an': 0}
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