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mf_newforms • Show schema
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{'Nk2': 6080, 'analytic_conductor': 12.137261107234618, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1520, 3, [191, 1141, 1217, 401], [3, 3, 3, 1]], 'cm_discs': [], 'conrey_index': 881, 'conrey_indexes': [881, 961], 'dim': 8, 'field_disc': 4601315889, 'field_disc_factorization': [[3, 4], [7537, 2]], 'field_poly': [9, 12, 31, -14, 26, -3, 6, -1, 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, [4, 10, 29, 2, 17, -4, 11, -3, 1]], [7, [-8, 15, -1, -4, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63051494328370672, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 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mf_hecke_cc • Show schema
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-
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{'Nk2': 6080, 'analytic_conductor': 12.137261107234618, 'char_conductor': 19, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1520, 3, [191, 1141, 1217, 401], [3, 3, 3, 1]], 'conrey_index': 881, 'cusp_dim': 456, 'dim': 80, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 1099545183728, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 6, 6, 8, 8, 8, 8, 8, 10], 'label': '1520.2.q', 'level': 1520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'mf_dim': 504, 'mf_new_dim': 80, 'num_forms': 16, 'prim_orbit_index': 3, 'relative_dim': 40, 'sturm_bound': 480, 'trace_bound': 7, 'trace_display': [0, -4, 0, -8], 'traces': [80, 0, -4, 0, 0, 0, -8, 0, -44, 0, 0, 0, 0, 0, 4, 0, 8, 0, 12, 0, 0, 0, 0, 0, -40, 0, 32, 0, 0, 0, -24, 0, -12, 0, 0, 0, 0, 0, -8, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 47880157
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63051494328370672, 'source_is_minimal': False, 'source_label': '1520.2.q.o.961.4', 'source_level': 1520, 'target_conrey_index': 961, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 63051494328370672, 'target_is_minimal': False, 'target_label': '1520.2.q.o.961.4', 'target_level': 1520, 'twist_class_label': '95.2.e.c.11.3', 'twist_class_level': 95, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47880158
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63051494328370672, 'source_is_minimal': False, 'source_label': '1520.2.q.o.961.4', 'source_level': 1520, 'target_conrey_index': 11, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474166202463, 'target_is_minimal': True, 'target_label': '95.2.e.c.11.3', 'target_level': 95, 'twist_class_label': '95.2.e.c.11.3', 'twist_class_level': 95, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47880159
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63051494328370672, 'source_is_minimal': False, 'source_label': '1520.2.q.o.961.4', 'source_level': 1520, 'target_conrey_index': 676, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525884619916119, 'target_is_minimal': False, 'target_label': '855.2.k.h.676.2', 'target_level': 855, 'twist_class_label': '95.2.e.c.11.3', 'twist_class_level': 95, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47880160
{'conductor': 19, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63051494328370672, 'source_is_minimal': False, 'source_label': '1520.2.q.o.961.4', 'source_level': 1520, 'target_conrey_index': 881, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 63051494328370672, 'target_is_minimal': False, 'target_label': '1520.2.q.o.881.4', 'target_level': 1520, 'twist_class_label': '95.2.e.c.11.3', 'twist_class_level': 95, 'twisting_char_label': '19.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47880161
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63051494328370672, 'source_is_minimal': False, 'source_label': '1520.2.q.o.961.4', 'source_level': 1520, 'target_conrey_index': 49, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007817763586523, 'target_is_minimal': False, 'target_label': '475.2.j.c.49.3', 'target_level': 475, 'twist_class_label': '95.2.e.c.11.3', 'twist_class_level': 95, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47880162
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63051494328370672, 'source_is_minimal': False, 'source_label': '1520.2.q.o.961.4', 'source_level': 1520, 'target_conrey_index': 49, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007817763586523, 'target_is_minimal': False, 'target_label': '475.2.j.c.49.6', 'target_level': 475, 'twist_class_label': '95.2.e.c.11.3', 'twist_class_level': 95, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47880163
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63051494328370672, 'source_is_minimal': False, 'source_label': '1520.2.q.o.961.4', 'source_level': 1520, 'target_conrey_index': 201, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420943835, 'target_is_minimal': False, 'target_label': '475.2.e.e.201.2', 'target_level': 475, 'twist_class_label': '95.2.e.c.11.3', 'twist_class_level': 95, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47880164
{'conductor': 76, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63051494328370672, 'source_is_minimal': False, 'source_label': '1520.2.q.o.961.4', 'source_level': 1520, 'target_conrey_index': 26, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474166202463, 'target_is_minimal': True, 'target_label': '95.2.e.c.26.3', 'target_level': 95, 'twist_class_label': '95.2.e.c.11.3', 'twist_class_level': 95, 'twisting_char_label': '76.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47880165
{'conductor': 76, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63051494328370672, 'source_is_minimal': False, 'source_label': '1520.2.q.o.961.4', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050394816743181, 'target_is_minimal': False, 'target_label': '1805.2.a.o.1.2', 'target_level': 1805, 'twist_class_label': '95.2.e.c.11.3', 'twist_class_level': 95, 'twisting_char_label': '76.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47880166
{'conductor': 76, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63051494328370672, 'source_is_minimal': False, 'source_label': '1520.2.q.o.961.4', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36028797052520205, 'target_is_minimal': False, 'target_label': '1805.2.a.i.1.3', 'target_level': 1805, 'twist_class_label': '95.2.e.c.11.3', 'twist_class_level': 95, 'twisting_char_label': '76.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 47880167
{'conductor': 228, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63051494328370672, 'source_is_minimal': False, 'source_label': '1520.2.q.o.961.4', 'source_level': 1520, 'target_conrey_index': 406, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525884619916119, 'target_is_minimal': False, 'target_label': '855.2.k.h.406.2', 'target_level': 855, 'twist_class_label': '95.2.e.c.11.3', 'twist_class_level': 95, 'twisting_char_label': '228.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 47880168
{'conductor': 380, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63051494328370672, 'source_is_minimal': False, 'source_label': '1520.2.q.o.961.4', 'source_level': 1520, 'target_conrey_index': 349, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007817763586523, 'target_is_minimal': False, 'target_label': '475.2.j.c.349.3', 'target_level': 475, 'twist_class_label': '95.2.e.c.11.3', 'twist_class_level': 95, 'twisting_char_label': '380.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47880169
{'conductor': 380, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63051494328370672, 'source_is_minimal': False, 'source_label': '1520.2.q.o.961.4', 'source_level': 1520, 'target_conrey_index': 349, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007817763586523, 'target_is_minimal': False, 'target_label': '475.2.j.c.349.6', 'target_level': 475, 'twist_class_label': '95.2.e.c.11.3', 'twist_class_level': 95, 'twisting_char_label': '380.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 47880170
{'conductor': 380, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63051494328370672, 'source_is_minimal': False, 'source_label': '1520.2.q.o.961.4', 'source_level': 1520, 'target_conrey_index': 26, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420943835, 'target_is_minimal': False, 'target_label': '475.2.e.e.26.2', 'target_level': 475, 'twist_class_label': '95.2.e.c.11.3', 'twist_class_level': 95, 'twisting_char_label': '380.159', 'twisting_conrey_index': 159, 'weight': 2}
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id: 47880171
{'conductor': 380, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63051494328370672, 'source_is_minimal': False, 'source_label': '1520.2.q.o.961.4', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 184647584755753793, 'target_is_minimal': False, 'target_label': '9025.2.a.bp.1.2', 'target_level': 9025, 'twist_class_label': '95.2.e.c.11.3', 'twist_class_level': 95, 'twisting_char_label': '380.179', 'twisting_conrey_index': 179, 'weight': 2}
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id: 47880172
{'conductor': 380, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63051494328370672, 'source_is_minimal': False, 'source_label': '1520.2.q.o.961.4', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 144115188109419329, 'target_is_minimal': False, 'target_label': '9025.2.a.bg.1.3', 'target_level': 9025, 'twist_class_label': '95.2.e.c.11.3', 'twist_class_level': 95, 'twisting_char_label': '380.239', 'twisting_conrey_index': 239, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2008325
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 63051494328370672, 'p': 2}
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id: 2008326
{'charpoly_factorization': [[[4, 10, 29, 2, 17, -4, 11, -3, 1], 1]], 'hecke_orbit_code': 63051494328370672, 'p': 3}
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id: 2008327
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 63051494328370672, 'p': 5}
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id: 2008328
{'charpoly_factorization': [[[-8, 15, -1, -4, 1], 2]], 'hecke_orbit_code': 63051494328370672, 'p': 7}
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id: 2008329
{'charpoly_factorization': [[[3, 19, -25, -2, 1], 2]], 'hecke_orbit_code': 63051494328370672, 'p': 11}
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id: 2008330
{'charpoly_factorization': [[[256, 368, 641, 63, 226, 95, 42, 7, 1], 1]], 'hecke_orbit_code': 63051494328370672, 'p': 13}
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id: 2008331
{'charpoly_factorization': [[[11664, -1836, 3529, 726, 775, 64, 31, -1, 1], 1]], 'hecke_orbit_code': 63051494328370672, 'p': 17}
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id: 2008332
{'charpoly_factorization': [[[130321, 34295, 11191, 1273, 395, 67, 31, 5, 1], 1]], 'hecke_orbit_code': 63051494328370672, 'p': 19}
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id: 2008333
{'charpoly_factorization': [[[36, -42, 151, 143, 269, 48, 21, -2, 1], 1]], 'hecke_orbit_code': 63051494328370672, 'p': 23}
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id: 2008334
{'charpoly_factorization': [[[19881, 27354, 28753, 11940, 3916, 451, 64, -1, 1], 1]], 'hecke_orbit_code': 63051494328370672, 'p': 29}
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id: 2008335
{'charpoly_factorization': [[[1063, 5, -67, 0, 1], 2]], 'hecke_orbit_code': 63051494328370672, 'p': 31}
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id: 2008336
{'charpoly_factorization': [[[-118, -123, -31, 2, 1], 2]], 'hecke_orbit_code': 63051494328370672, 'p': 37}
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id: 2008337
{'charpoly_factorization': [[[5008644, -2173098, 748135, -120285, 17575, -1246, 151, -8, 1], 1]], 'hecke_orbit_code': 63051494328370672, 'p': 41}
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id: 2008338
{'charpoly_factorization': [[[630436, 156418, 116621, -17718, 9007, -296, 99, -1, 1], 1]], 'hecke_orbit_code': 63051494328370672, 'p': 43}
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id: 2008339
{'charpoly_factorization': [[[5363856, 2151564, 735661, 106679, 16489, 1198, 199, 12, 1], 1]], 'hecke_orbit_code': 63051494328370672, 'p': 47}
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id: 2008340
{'charpoly_factorization': [[[2916, -12258, 46885, -20062, 8585, -24, 111, -5, 1], 1]], 'hecke_orbit_code': 63051494328370672, 'p': 53}
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id: 2008341
{'charpoly_factorization': [[[3515625, -937500, 484375, 43750, 16250, 375, 150, 5, 1], 1]], 'hecke_orbit_code': 63051494328370672, 'p': 59}
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id: 2008342
{'charpoly_factorization': [[[9296401, -268312, 404114, 11440, 13851, 176, 130, 0, 1], 1]], 'hecke_orbit_code': 63051494328370672, 'p': 61}
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id: 2008343
{'charpoly_factorization': [[[4096, -1536, 2880, 1376, 1136, 192, 52, -4, 1], 1]], 'hecke_orbit_code': 63051494328370672, 'p': 67}
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id: 2008344
{'charpoly_factorization': [[[59049, -23085, 31138, -1075, 10424, -2010, 309, -20, 1], 1]], 'hecke_orbit_code': 63051494328370672, 'p': 71}
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id: 2008345
{'charpoly_factorization': [[[2979076, -377994, 211931, -48235, 15131, -2338, 305, -20, 1], 1]], 'hecke_orbit_code': 63051494328370672, 'p': 73}
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id: 2008346
{'charpoly_factorization': [[[33856, -3680, 13648, -4816, 5708, -1264, 217, -17, 1], 1]], 'hecke_orbit_code': 63051494328370672, 'p': 79}
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id: 2008347
{'charpoly_factorization': [[[366, -55, -62, 1, 1], 2]], 'hecke_orbit_code': 63051494328370672, 'p': 83}
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id: 2008348
{'charpoly_factorization': [[[14561856, 5296608, 1583104, 208872, 27184, 1786, 211, 11, 1], 1]], 'hecke_orbit_code': 63051494328370672, 'p': 89}
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id: 2008349
{'charpoly_factorization': [[[55383364, 5990810, 2627597, -229014, 62509, -1876, 267, 1, 1], 1]], 'hecke_orbit_code': 63051494328370672, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 17, 'hecke_orbit': 15, 'label': '1520.2.q.o', 'level': 1520, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 233864000
{'hecke_orbit_code': 63051494328370672, 'n': 1, 'trace_an': 8}
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id: 233864001
{'hecke_orbit_code': 63051494328370672, 'n': 2, 'trace_an': 0}
-
id: 233864002
{'hecke_orbit_code': 63051494328370672, 'n': 3, 'trace_an': 3}
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id: 233864003
{'hecke_orbit_code': 63051494328370672, 'n': 4, 'trace_an': 0}
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id: 233864004
{'hecke_orbit_code': 63051494328370672, 'n': 5, 'trace_an': -4}
-
id: 233864005
{'hecke_orbit_code': 63051494328370672, 'n': 6, 'trace_an': 0}
-
id: 233864006
{'hecke_orbit_code': 63051494328370672, 'n': 7, 'trace_an': 8}
-
id: 233864007
{'hecke_orbit_code': 63051494328370672, 'n': 8, 'trace_an': 0}
-
id: 233864008
{'hecke_orbit_code': 63051494328370672, 'n': 9, 'trace_an': -1}
-
id: 233864009
{'hecke_orbit_code': 63051494328370672, 'n': 10, 'trace_an': 0}
-
id: 233864010
{'hecke_orbit_code': 63051494328370672, 'n': 11, 'trace_an': 4}
-
id: 233864011
{'hecke_orbit_code': 63051494328370672, 'n': 12, 'trace_an': 0}
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id: 233864012
{'hecke_orbit_code': 63051494328370672, 'n': 13, 'trace_an': -7}
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id: 233864013
{'hecke_orbit_code': 63051494328370672, 'n': 14, 'trace_an': 0}
-
id: 233864014
{'hecke_orbit_code': 63051494328370672, 'n': 15, 'trace_an': 3}
-
id: 233864015
{'hecke_orbit_code': 63051494328370672, 'n': 16, 'trace_an': 0}
-
id: 233864016
{'hecke_orbit_code': 63051494328370672, 'n': 17, 'trace_an': 1}
-
id: 233864017
{'hecke_orbit_code': 63051494328370672, 'n': 18, 'trace_an': 0}
-
id: 233864018
{'hecke_orbit_code': 63051494328370672, 'n': 19, 'trace_an': -5}
-
id: 233864019
{'hecke_orbit_code': 63051494328370672, 'n': 20, 'trace_an': 0}
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id: 233864020
{'hecke_orbit_code': 63051494328370672, 'n': 21, 'trace_an': 4}
-
id: 233864021
{'hecke_orbit_code': 63051494328370672, 'n': 22, 'trace_an': 0}
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id: 233864022
{'hecke_orbit_code': 63051494328370672, 'n': 23, 'trace_an': 2}
-
id: 233864023
{'hecke_orbit_code': 63051494328370672, 'n': 24, 'trace_an': 0}
-
id: 233864024
{'hecke_orbit_code': 63051494328370672, 'n': 25, 'trace_an': -4}
-
id: 233864025
{'hecke_orbit_code': 63051494328370672, 'n': 26, 'trace_an': 0}
-
id: 233864026
{'hecke_orbit_code': 63051494328370672, 'n': 27, 'trace_an': -24}
-
id: 233864027
{'hecke_orbit_code': 63051494328370672, 'n': 28, 'trace_an': 0}
-
id: 233864028
{'hecke_orbit_code': 63051494328370672, 'n': 29, 'trace_an': 1}
-
id: 233864029
{'hecke_orbit_code': 63051494328370672, 'n': 30, 'trace_an': 0}
-
id: 233864030
{'hecke_orbit_code': 63051494328370672, 'n': 31, 'trace_an': 0}
-
id: 233864031
{'hecke_orbit_code': 63051494328370672, 'n': 32, 'trace_an': 0}
-
id: 233864032
{'hecke_orbit_code': 63051494328370672, 'n': 33, 'trace_an': -19}
-
id: 233864033
{'hecke_orbit_code': 63051494328370672, 'n': 34, 'trace_an': 0}
-
id: 233864034
{'hecke_orbit_code': 63051494328370672, 'n': 35, 'trace_an': -4}
-
id: 233864035
{'hecke_orbit_code': 63051494328370672, 'n': 36, 'trace_an': 0}
-
id: 233864036
{'hecke_orbit_code': 63051494328370672, 'n': 37, 'trace_an': -4}
-
id: 233864037
{'hecke_orbit_code': 63051494328370672, 'n': 38, 'trace_an': 0}
-
id: 233864038
{'hecke_orbit_code': 63051494328370672, 'n': 39, 'trace_an': -30}
-
id: 233864039
{'hecke_orbit_code': 63051494328370672, 'n': 40, 'trace_an': 0}
-
id: 233864040
{'hecke_orbit_code': 63051494328370672, 'n': 41, 'trace_an': 8}
-
id: 233864041
{'hecke_orbit_code': 63051494328370672, 'n': 42, 'trace_an': 0}
-
id: 233864042
{'hecke_orbit_code': 63051494328370672, 'n': 43, 'trace_an': 1}
-
id: 233864043
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