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mf_newforms • Show schema
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{'Nk2': 5700, 'analytic_conductor': 11.378682288032454, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1425, 2, [476, 1027, 1351], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 799, 'dim': 6, 'field_disc': -24681024, 'field_disc_factorization': [[-1, 1], [2, 6], [3, 6], [23, 2]], 'field_poly': [9, 0, 36, 0, 12, 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': [[2, [9, 0, 36, 0, 12, 0, 1]], [7, [16, 0, 81, 0, 18, 0, 1]], [11, [-12, -6, 3, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67554131883066769, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 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mf_hecke_cc • Show schema
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16, 'hecke_orbit_code': 67554131883066769, 'label': '1425.2.c.p.799.4', 'level': 1425, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 5700, 'analytic_conductor': 11.378682288032454, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1425, 2, [476, 1027, 1351], [2, 1, 2]], 'conrey_index': 799, 'cusp_dim': 188, 'dim': 52, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 137472509329, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6], 'label': '1425.2.c', 'level': 1425, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 19], 'level_radical': 285, 'mf_dim': 212, 'mf_new_dim': 52, 'num_forms': 16, 'prim_orbit_index': 2, 'relative_dim': 52, 'sturm_bound': 400, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [52, 0, 0, -48, 0, -4, 0, 0, -52, 0, -4, 0, 0, -32, 0, 56, 0, 0, 8, 0, 0, 0, 0, 12, 0, 8, 0, 0, 16, 0, 24, 0, 0, 8, 0, 48, 0, 0, 0, 0, -56, 0, 0, 8, 0, -48, 0, 0, -40, 0, 16, 0, 0, 4, 0, 0, 0, 0, -96, 0, -28, 0, 0, -32, 0, -16, 0, 0, -16, 0, 96, 0, 0, 168, 0, -20, 0, 0, -24, 0, 52, 0, 0, 32, 0, -8, 0, 0, 32, 0, 0, 0, 0, -32, 0, -68, 0, 0, 4, 0, -40, 0, 0, 8, 0, -80, 0, 0, 48, 0, 0, 0, 0, 8, 0, 32, 0, 0, -108, 0, 64, 0, 0, -144, 0, 32, 0, 0, -48, 0, 20, 0, 0, -8, 0, -64, 0, 0, 20, 0, -8, 0, 0, -56, 0, 72, 0, 0, 76, 0, 72, 0, 0, 72, 0, 64, 0, 0, 48, 0, -64, 0, 0, 160, 0, 184, 0, 0, -60, 0, -8, 0, 0, -96, 0, 128, 0, 0, -40, 0, -104, 0, 0, 48, 0, -112, 0, 0, 0, 0, -68, 0, 0, -152, 0, 160, 0, 0, -12, 0, 8, 0, 0, -64, 0, -104, 0, 0, 20, 0, 24, 0, 0, 40, 0, -12, 0, 0, -32, 0, -136, 0, 0, 232, 0, -72, 0, 0, -44, 0, 32, 0, 0, -8, 0, 280, 0, 0, 60, 0, -8, 0, 0, 168, 0, -48, 0, 0, 32, 0, 108, 0, 0, 40, 0, -232, 0, 0, -128, 0, -16, 0, 0, 32, 0, 0, 0, 0, 128, 0, -80, 0, 0, 136, 0, -24, 0, 0, -24, 0, -144, 0, 0, 56, 0, -272, 0, 0, 80, 0, -16, 0, 0, 140, 0, -360, 0, 0, 32, 0, 84, 0, 0, 44, 0, -8, 0, 0, 56, 0, 140, 0, 0, 0, 0, -64, 0, 0, 64, 0, -32, 0, 0, -48, 0, -120, 0, 0, 84, 0, 64, 0, 0, 104, 0, 0, 0, 0, -32, 0, 216, 0, 0, -16, 0, -160, 0, 0, -140, 0, 0, 0, 0, -80, 0, -224, 0, 0, 12, 0, 52, 0, 0, -72, 0, 24, 0, 0, 56, 0, -40, 0, 0, 216, 0, -48, 0, 0, -216, 0, -104, 0, 0, 84, 0, -120, 0, 0, -172, 0, -112, 0, 0, -48, 0, -8, 0, 0, 32, 0, -72, 0, 0, -160, 0, 200, 0, 0, 152, 0, 80, 0, 0, 48, 0, -248, 0, 0, -248, 0, 16, 0, 0, -120, 0, -80, 0, 0, 0, 0, 136, 0, 0, 240, 0, 184, 0, 0, 32, 0, 40, 0, 0, -240, 0, 168, 0, 0, 360, 0, 392, 0, 0, -40, 0, -24, 0, 0, -16, 0, 228, 0, 0, 0, 0, -64, 0, 0, 56, 0, 64, 0, 0, -168, 0, 40, 0, 0, -128, 0, -128, 0, 0, 336, 0, -4, 0, 0, -32, 0, -168, 0, 0, -96, 0, 480, 0, 0, -20, 0, 48, 0, 0, 0, 0, -176, 0, 0, -224, 0, -212, 0, 0, 16, 0, 128, 0, 0, -64, 0, -40, 0, 0, -216, 0, -424, 0, 0, -188, 0, 96, 0, 0, 32, 0, 152, 0, 0, 104, 0, 52, 0, 0, -264, 0, 48, 0, 0, 28, 0, 16, 0, 0, 72, 0, -96, 0, 0, -200, 0, 96, 0, 0, 256, 0, 248, 0, 0, 80, 0, 48, 0, 0, -104, 0, 32, 0, 0, 16, 0, -16, 0, 0, 40, 0, 24, 0, 0, 16, 0, 16, 0, 0, 16, 0, -88, 0, 0, 80, 0, 8, 0, 0, 144, 0, 104, 0, 0, 224, 0, -56, 0, 0, -264, 0, -376, 0, 0, -16, 0, 16, 0, 0, -64, 0, 8, 0, 0, -64, 0, 252, 0, 0, 80, 0, -152, 0, 0, -96, 0, 0, 0, 0, -144, 0, 0, 0, 0, 200, 0, 112, 0, 0, 176, 0, 64, 0, 0, -360, 0, -104, 0, 0, -80, 0, -168, 0, 0, 152, 0, 108, 0, 0, -216, 0, 80, 0, 0, -152, 0, -128, 0, 0, 20, 0, 400, 0, 0, 192, 0, 388, 0, 0, -72, 0, 128, 0, 0, -96, 0, -88, 0, 0, -224, 0, 72, 0, 0, 240, 0, 24, 0, 0, 256, 0, 136, 0, 0, -60, 0, -160, 0, 0, 432, 0, -172, 0, 0, -52, 0, -244, 0, 0, 256, 0, -40, 0, 0, 4, 0, -24, 0, 0, 112, 0, 376, 0, 0, -168, 0, -152, 0, 0, -64, 0, -32, 0, 0, -192, 0, 100, 0, 0, -328, 0, -24, 0, 0, 284, 0, 32, 0, 0, 8, 0, 24, 0, 0, -32, 0, -168, 0, 0, 112, 0, -112, 0, 0, -224, 0, -248, 0, 0, 144, 0, 464, 0, 0, 156, 0, -32, 0, 0, -56, 0, 64, 0, 0, -12, 0, 304, 0, 0, -416, 0, 120, 0, 0, 0, 0, -332, 0, 0, -8, 0, -200, 0, 0, -88, 0, 0, 0, 0, -280, 0, -80, 0, 0, -184, 0, 52, 0, 0, -64, 0, 32, 0, 0, 0, 0, 48, 0, 0, 272, 0, 176, 0, 0, 68, 0, 32, 0, 0, 68, 0, 168, 0, 0, 192, 0, -16, 0, 0, -40, 0, -384, 0, 0, 160, 0, -108, 0, 0, 416, 0, 672, 0, 0, 32, 0, -4, 0, 0, 280, 0, -344, 0, 0, 136, 0, -80, 0, 0, 104, 0, 184, 0, 0, 40, 0, 8, 0, 0, -536, 0, 384, 0, 0, 160, 0, 248, 0, 0, -360, 0, 200, 0, 0, 200, 0, -44, 0, 0, -360, 0, -8, 0, 0, -96, 0, -112, 0, 0, -488, 0, -104, 0, 0, -416, 0, -160, 0, 0, 80, 0, 256, 0, 0, 180, 0, 460, 0, 0, -304, 0, 144, 0, 0, 24, 0, -144, 0, 0, -544, 0, -192, 0, 0, 64, 0, -48, 0, 0, 64, 0, 240, 0, 0, -368, 0, -88, 0, 0, -392, 0, -192, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47958290
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554131883066769, 'source_is_minimal': False, 'source_label': '1425.2.c.p.799.4', 'source_level': 1425, 'target_conrey_index': 799, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 67554131883066769, 'target_is_minimal': False, 'target_label': '1425.2.c.p.799.4', 'target_level': 1425, 'twist_class_label': '1425.2.a.u.1.2', 'twist_class_level': 1425, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47958291
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 799, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554131883066769, 'source_is_minimal': False, 'source_label': '1425.2.c.p.799.4', 'source_level': 1425, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 90071992580965777, 'target_is_minimal': True, 'target_label': '1425.2.a.u.1.2', 'target_level': 1425, 'twist_class_label': '1425.2.a.u.1.2', 'twist_class_level': 1425, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47958292
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 799, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554131883066769, 'source_is_minimal': False, 'source_label': '1425.2.c.p.799.4', 'source_level': 1425, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575592208336273, 'target_is_minimal': True, 'target_label': '1425.2.a.v.1.2', 'target_level': 1425, 'twist_class_label': '1425.2.a.u.1.2', 'twist_class_level': 1425, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47958293
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554131883066769, 'source_is_minimal': False, 'source_label': '1425.2.c.p.799.4', 'source_level': 1425, 'target_conrey_index': 799, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67554131883066769, 'target_is_minimal': False, 'target_label': '1425.2.c.p.799.3', 'target_level': 1425, 'twist_class_label': '1425.2.a.u.1.2', 'twist_class_level': 1425, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47958294
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554131883066769, 'source_is_minimal': False, 'source_label': '1425.2.c.p.799.4', 'source_level': 1425, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 135107988854673587, 'target_is_minimal': False, 'target_label': '4275.2.a.be.1.2', 'target_level': 4275, 'twist_class_label': '1425.2.a.u.1.2', 'twist_class_level': 1425, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47958295
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 67554131883066769, 'source_is_minimal': False, 'source_label': '1425.2.c.p.799.4', 'source_level': 1425, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 148618787736785075, 'target_is_minimal': False, 'target_label': '4275.2.a.bh.1.2', 'target_level': 4275, 'twist_class_label': '1425.2.a.u.1.2', 'twist_class_level': 1425, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1939325
{'charpoly_factorization': [[[9, 0, 36, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 67554131883066769, 'p': 2}
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id: 1939326
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 67554131883066769, 'p': 3}
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id: 1939327
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 67554131883066769, 'p': 5}
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id: 1939328
{'charpoly_factorization': [[[16, 0, 81, 0, 18, 0, 1], 1]], 'hecke_orbit_code': 67554131883066769, 'p': 7}
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id: 1939329
{'charpoly_factorization': [[[-12, -6, 3, 1], 2]], 'hecke_orbit_code': 67554131883066769, 'p': 11}
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id: 1939330
{'charpoly_factorization': [[[4096, 0, 912, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 67554131883066769, 'p': 13}
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id: 1939331
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 67554131883066769, 'p': 17}
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id: 1939332
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 67554131883066769, 'p': 19}
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id: 1939333
{'charpoly_factorization': [[[144, 0, 504, 0, 57, 0, 1], 1]], 'hecke_orbit_code': 67554131883066769, 'p': 23}
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id: 1939334
{'charpoly_factorization': [[[3, 1], 6]], 'hecke_orbit_code': 67554131883066769, 'p': 29}
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id: 1939335
{'charpoly_factorization': [[[16, 0, -9, 1], 2]], 'hecke_orbit_code': 67554131883066769, 'p': 31}
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id: 1939336
{'charpoly_factorization': [[[33856, 0, 4416, 0, 144, 0, 1], 1]], 'hecke_orbit_code': 67554131883066769, 'p': 37}
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id: 1939337
{'charpoly_factorization': [[[426, -123, 0, 1], 2]], 'hecke_orbit_code': 67554131883066769, 'p': 41}
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id: 1939338
{'charpoly_factorization': [[[64, 0, 1], 3]], 'hecke_orbit_code': 67554131883066769, 'p': 43}
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id: 1939339
{'charpoly_factorization': [[[9216, 0, 2448, 0, 156, 0, 1], 1]], 'hecke_orbit_code': 67554131883066769, 'p': 47}
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id: 1939340
{'charpoly_factorization': [[[4761, 0, 6003, 0, 219, 0, 1], 1]], 'hecke_orbit_code': 67554131883066769, 'p': 53}
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id: 1939341
{'charpoly_factorization': [[[444, 183, 24, 1], 2]], 'hecke_orbit_code': 67554131883066769, 'p': 59}
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id: 1939342
{'charpoly_factorization': [[[-113, -9, 9, 1], 2]], 'hecke_orbit_code': 67554131883066769, 'p': 61}
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id: 1939343
{'charpoly_factorization': [[[8464, 0, 2700, 0, 213, 0, 1], 1]], 'hecke_orbit_code': 67554131883066769, 'p': 67}
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id: 1939344
{'charpoly_factorization': [[[522, -81, -6, 1], 2]], 'hecke_orbit_code': 67554131883066769, 'p': 71}
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id: 1939345
{'charpoly_factorization': [[[9409, 0, 8067, 0, 195, 0, 1], 1]], 'hecke_orbit_code': 67554131883066769, 'p': 73}
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id: 1939346
{'charpoly_factorization': [[[-916, -48, 15, 1], 2]], 'hecke_orbit_code': 67554131883066769, 'p': 79}
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id: 1939347
{'charpoly_factorization': [[[7056, 0, 1836, 0, 93, 0, 1], 1]], 'hecke_orbit_code': 67554131883066769, 'p': 83}
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id: 1939348
{'charpoly_factorization': [[[3, -33, -3, 1], 2]], 'hecke_orbit_code': 67554131883066769, 'p': 89}
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id: 1939349
{'charpoly_factorization': [[[2096704, 0, 62976, 0, 480, 0, 1], 1]], 'hecke_orbit_code': 67554131883066769, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 16, 'label': '1425.2.c.p', 'level': 1425, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 61184677
{'hecke_orbit_code': 67554131883066769, 'n': 1, 'trace_an': 6}
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id: 61184678
{'hecke_orbit_code': 67554131883066769, 'n': 2, 'trace_an': 0}
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id: 61184679
{'hecke_orbit_code': 67554131883066769, 'n': 3, 'trace_an': 0}
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id: 61184680
{'hecke_orbit_code': 67554131883066769, 'n': 4, 'trace_an': -12}
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id: 61184681
{'hecke_orbit_code': 67554131883066769, 'n': 5, 'trace_an': 0}
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id: 61184682
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