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mf_newforms • Show schema
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{'Nk2': 15200, 'analytic_conductor': 30.343152768086547, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [3800, 2, [951, 1901, 1977, 401], [2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 3649, 'dim': 12, 'field_disc': 5372412605945670406144, 'field_disc_factorization': [[2, 12], [1145261617, 2]], 'field_poly': [9, 0, 286, 0, 733, 0, 618, 0, 194, 0, 24, 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, [9, 0, 286, 0, 733, 0, 618, 0, 194, 0, 24, 0, 1]], [7, [146689, 0, 194534, 0, 87493, 0, 17066, 0, 1538, 0, 64, 0, 1]], [11, [-88, -208, 10, 139, -40, -3, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057800229916376, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 15200, 'analytic_conductor': 30.343152768086547, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [3800, 2, [951, 1901, 1977, 401], [2, 2, 1, 2]], 'conrey_index': 3649, 'cusp_dim': 576, 'dim': 82, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 206191988440, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 12, 12], 'label': '3800.2.d', 'level': 3800, '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': [2, 5, 19], 'level_radical': 190, 'mf_dim': 624, 'mf_new_dim': 82, 'num_forms': 17, 'prim_orbit_index': 2, 'relative_dim': 82, 'sturm_bound': 1200, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [82, 0, 0, 0, 0, 0, 0, 0, -78, 0, -12, 0, 0, 0, 0, 0, 0, 0, 6, 0, 16, 0, 0, 0, 0, 0, 0, 0, -28, 0, -8, 0, 0, 0, 0, 0, 0, 0, -32, 0, -4, 0, 0, 0, 0, 0, 0, 0, -42, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 8, 0, 48, 0, 0, 0, 0, 0, 0, 0, -16, 0, 98, 0, 0, 0, 0, 0, 0, 0, -12, 0, 32, 0, 0, 0, 0, 0, 0, 0, -52, 0, -4, 0, 0, 0, 0, 0, 0, 0, 44, 0, -40, 0, 0, 0, 0, 0, 0, 0, -36, 0, 102, 0, 0, 0, 0, 0, 0, 0, -32, 0, -4, 0, 0, 0, 0, 0, 0, 0, 36, 0, 104, 0, 0, 0, 0, 0, 0, 0, -40, 0, 72, 0, 0, 0, 0, 0, 0, 0, -96, 0, 112, 0, 0, 0, 0, 0, 0, 0, -122, 0, -30, 0, 0, 0, 0, 0, 0, 0, -80, 0, 76, 0, 0, 0, 0, 0, 0, 0, -152, 0, -8, 0, 0, 0, 0, 0, 0, 0, -40, 0, 120, 0, 0, 0, 0, 0, 0, 0, -20, 0, 48, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 152, 0, 0, 0, 0, 0, 0, 0, 8, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -184, 0, 140, 0, 0, 0, 0, 0, 0, 0, 68, 0, -44, 0, 0, 0, 0, 0, 0, 0, 88, 0, -68, 0, 0, 0, 0, 0, 0, 0, -62, 0, -160, 0, 0, 0, 0, 0, 0, 0, 8, 0, 68, 0, 0, 0, 0, 0, 0, 0, -16, 0, -64, 0, 0, 0, 0, 0, 0, 0, -128, 0, -144, 0, 0, 0, 0, 0, 0, 0, -20, 0, 104, 0, 0, 0, 0, 0, 0, 0, 192, 0, -32, 0, 0, 0, 0, 0, 0, 0, -24, 0, -88, 0, 0, 0, 0, 0, 0, 0, -112, 0, 82, 0, 0, 0, 0, 0, 0, 0, 100, 0, -40, 0, 0, 0, 0, 0, 0, 0, -80, 0, 16, 0, 0, 0, 0, 0, 0, 0, -8, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 36, 0, -120, 0, 0, 0, 0, 0, 0, 0, 288, 0, -52, 0, 0, 0, 0, 0, 0, 0, 56, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, -74, 0, 0, 0, 0, 0, 0, 0, 92, 0, 144, 0, 0, 0, 0, 0, 0, 0, -168, 0, 224, 0, 0, 0, 0, 0, 0, 0, 88, 0, 88, 0, 0, 0, 0, 0, 0, 0, -20, 0, 112, 0, 0, 0, 0, 0, 0, 0, -104, 0, -208, 0, 0, 0, 0, 0, 0, 0, 76, 0, -144, 0, 0, 0, 0, 0, 0, 0, 180, 0, 212, 0, 0, 0, 0, 0, 0, 0, 24, 0, -84, 0, 0, 0, 0, 0, 0, 0, -134, 0, -416, 0, 0, 0, 0, 0, 0, 0, 336, 0, 136, 0, 0, 0, 0, 0, 0, 0, 200, 0, -8, 0, 0, 0, 0, 0, 0, 0, -48, 0, 16, 0, 0, 0, 0, 0, 0, 0, -36, 0, 80, 0, 0, 0, 0, 0, 0, 0, 288, 0, 8, 0, 0, 0, 0, 0, 0, 0, -16, 0, -176, 0, 0, 0, 0, 0, 0, 0, 96, 0, -4, 0, 0, 0, 0, 0, 0, 0, 144, 0, 184, 0, 0, 0, 0, 0, 0, 0, -40, 0, -424, 0, 0, 0, 0, 0, 0, 0, 32, 0, 176, 0, 0, 0, 0, 0, 0, 0, 16, 0, -28, 0, 0, 0, 0, 0, 0, 0, 32, 0, -376, 0, 0, 0, 0, 0, 0, 0, -304, 0, -132, 0, 0, 0, 0, 0, 0, 0, 392, 0, -180, 0, 0, 0, 0, 0, 0, 0, 80, 0, 48, 0, 0, 0, 0, 0, 0, 0, -80, 0, 12, 0, 0, 0, 0, 0, 0, 0, -112, 0, -28, 0, 0, 0, 0, 0, 0, 0, -84, 0, -120, 0, 0, 0, 0, 0, 0, 0, 200, 0, -128, 0, 0, 0, 0, 0, 0, 0, -78, 0, -188, 0, 0, 0, 0, 0, 0, 0, 60, 0, 24, 0, 0, 0, 0, 0, 0, 0, 160, 0, -24, 0, 0, 0, 0, 0, 0, 0, 128, 0, -180, 0, 0, 0, 0, 0, 0, 0, -20, 0, 88, 0, 0, 0, 0, 0, 0, 0, 60, 0, 88, 0, 0, 0, 0, 0, 0, 0, -48, 0, -120, 0, 0, 0, 0, 0, 0, 0, -116, 0, -252, 0, 0, 0, 0, 0, 0, 0, 20, 0, 264, 0, 0, 0, 0, 0, 0, 0, 32, 0, -248, 0, 0, 0, 0, 0, 0, 0, 92, 0, -128, 0, 0, 0, 0, 0, 0, 0, 56, 0, 298, 0, 0, 0, 0, 0, 0, 0, 288, 0, -8, 0, 0, 0, 0, 0, 0, 0, -60, 0, -72, 0, 0, 0, 0, 0, 0, 0, 200, 0, -96, 0, 0, 0, 0, 0, 0, 0, 320, 0, -44, 0, 0, 0, 0, 0, 0, 0, 376, 0, -244, 0, 0, 0, 0, 0, 0, 0, 200, 0, -64, 0, 0, 0, 0, 0, 0, 0, 36, 0, -248, 0, 0, 0, 0, 0, 0, 0, -340, 0, 56, 0, 0, 0, 0, 0, 0, 0, 184, 0, -74, 0, 0, 0, 0, 0, 0, 0, 288, 0, -292, 0, 0, 0, 0, 0, 0, 0, 144, 0, -140, 0, 0, 0, 0, 0, 0, 0, 224, 0, -54, 0, 0, 0, 0, 0, 0, 0, -24, 0, -152, 0, 0, 0, 0, 0, 0, 0, 88, 0, 196, 0, 0, 0, 0, 0, 0, 0, -72, 0, 320, 0, 0, 0, 0, 0, 0, 0, 228, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48062405
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 3649, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 72057800229916376, 'source_is_minimal': False, 'source_label': '3800.2.d.q.3649.10', 'source_level': 3800, 'target_conrey_index': 3649, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 72057800229916376, 'target_is_minimal': False, 'target_label': '3800.2.d.q.3649.10', 'target_level': 3800, 'twist_class_label': '3800.2.a.ba.1.2', 'twist_class_level': 3800, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48062406
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 3649, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 72057800229916376, 'source_is_minimal': False, 'source_label': '3800.2.d.q.3649.10', 'source_level': 3800, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 126100789599932120, 'target_is_minimal': True, 'target_label': '3800.2.a.bc.1.5', 'target_level': 3800, 'twist_class_label': '3800.2.a.ba.1.2', 'twist_class_level': 3800, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48062407
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 3649, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 72057800229916376, 'source_is_minimal': False, 'source_label': '3800.2.d.q.3649.10', 'source_level': 3800, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 117093590345191128, 'target_is_minimal': True, 'target_label': '3800.2.a.ba.1.2', 'target_level': 3800, 'twist_class_label': '3800.2.a.ba.1.2', 'twist_class_level': 3800, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48062408
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 3649, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 72057800229916376, 'source_is_minimal': False, 'source_label': '3800.2.d.q.3649.10', 'source_level': 3800, 'target_conrey_index': 3649, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 72057800229916376, 'target_is_minimal': False, 'target_label': '3800.2.d.q.3649.3', 'target_level': 3800, 'twist_class_label': '3800.2.a.ba.1.2', 'twist_class_level': 3800, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48062409
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 3649, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 72057800229916376, 'source_is_minimal': False, 'source_label': '3800.2.d.q.3649.10', 'source_level': 3800, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 283726776557903280, 'target_is_minimal': False, 'target_label': '7600.2.a.cl.1.5', 'target_level': 7600, 'twist_class_label': '3800.2.a.ba.1.2', 'twist_class_level': 3800, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48062410
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 3649, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 72057800229916376, 'source_is_minimal': False, 'source_label': '3800.2.d.q.3649.10', 'source_level': 3800, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 265712378048421296, 'target_is_minimal': False, 'target_label': '7600.2.a.ch.1.2', 'target_level': 7600, 'twist_class_label': '3800.2.a.ba.1.2', 'twist_class_level': 3800, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3370100
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 72057800229916376, 'p': 2}
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id: 3370101
{'charpoly_factorization': [[[9, 0, 286, 0, 733, 0, 618, 0, 194, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 72057800229916376, 'p': 3}
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id: 3370102
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 72057800229916376, 'p': 5}
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id: 3370103
{'charpoly_factorization': [[[146689, 0, 194534, 0, 87493, 0, 17066, 0, 1538, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 72057800229916376, 'p': 7}
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id: 3370104
{'charpoly_factorization': [[[-88, -208, 10, 139, -40, -3, 1], 2]], 'hecke_orbit_code': 72057800229916376, 'p': 11}
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id: 3370105
{'charpoly_factorization': [[[680625, 0, 1170691, 0, 623809, 0, 110123, 0, 6021, 0, 131, 0, 1], 1]], 'hecke_orbit_code': 72057800229916376, 'p': 13}
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id: 3370106
{'charpoly_factorization': [[[9903609, 0, 7224766, 0, 1800589, 0, 182186, 0, 8082, 0, 152, 0, 1], 1]], 'hecke_orbit_code': 72057800229916376, 'p': 17}
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id: 3370107
{'charpoly_factorization': [[[-1, 1], 12]], 'hecke_orbit_code': 72057800229916376, 'p': 19}
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id: 3370108
{'charpoly_factorization': [[[6185169, 0, 12041530, 0, 5276061, 0, 427046, 0, 13806, 0, 196, 0, 1], 1]], 'hecke_orbit_code': 72057800229916376, 'p': 23}
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id: 3370109
{'charpoly_factorization': [[[21951, 12285, 315, -705, -67, 9, 1], 2]], 'hecke_orbit_code': 72057800229916376, 'p': 29}
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id: 3370110
{'charpoly_factorization': [[[11000, -13500, 3220, 599, -136, -5, 1], 2]], 'hecke_orbit_code': 72057800229916376, 'p': 31}
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id: 3370111
{'charpoly_factorization': [[[54243225, 0, 45648781, 0, 10639610, 0, 760083, 0, 21056, 0, 244, 0, 1], 1]], 'hecke_orbit_code': 72057800229916376, 'p': 37}
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id: 3370112
{'charpoly_factorization': [[[-113472, -13200, 8392, 469, -180, -3, 1], 2]], 'hecke_orbit_code': 72057800229916376, 'p': 41}
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id: 3370113
{'charpoly_factorization': [[[37454400, 0, 41612256, 0, 7562644, 0, 499197, 0, 14735, 0, 199, 0, 1], 1]], 'hecke_orbit_code': 72057800229916376, 'p': 43}
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id: 3370114
{'charpoly_factorization': [[[3207681, 0, 2854161, 0, 825970, 0, 96827, 0, 5136, 0, 120, 0, 1], 1]], 'hecke_orbit_code': 72057800229916376, 'p': 47}
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id: 3370115
{'charpoly_factorization': [[[86211225, 0, 1709102416, 0, 294280232, 0, 9109467, 0, 109010, 0, 553, 0, 1], 1]], 'hecke_orbit_code': 72057800229916376, 'p': 53}
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id: 3370116
{'charpoly_factorization': [[[-32328, 728, 5938, -255, -193, 0, 1], 2]], 'hecke_orbit_code': 72057800229916376, 'p': 59}
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id: 3370117
{'charpoly_factorization': [[[12424, 17080, 6598, 443, -132, -9, 1], 2]], 'hecke_orbit_code': 72057800229916376, 'p': 61}
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id: 3370118
{'charpoly_factorization': [[[18504977089, 0, 2694152943, 0, 152614925, 0, 4250831, 0, 60429, 0, 407, 0, 1], 1]], 'hecke_orbit_code': 72057800229916376, 'p': 67}
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id: 3370119
{'charpoly_factorization': [[[-27576, 44984, -22606, 3491, -75, -19, 1], 2]], 'hecke_orbit_code': 72057800229916376, 'p': 71}
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id: 3370120
{'charpoly_factorization': [[[549129907089, 0, 43906839795, 0, 1312487773, 0, 19462323, 0, 153689, 0, 619, 0, 1], 1]], 'hecke_orbit_code': 72057800229916376, 'p': 73}
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id: 3370121
{'charpoly_factorization': [[[-553536, -208816, 15944, 4505, -285, -16, 1], 2]], 'hecke_orbit_code': 72057800229916376, 'p': 79}
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id: 3370122
{'charpoly_factorization': [[[5063745600, 0, 921753424, 0, 63756568, 0, 2142585, 0, 36830, 0, 309, 0, 1], 1]], 'hecke_orbit_code': 72057800229916376, 'p': 83}
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id: 3370123
{'charpoly_factorization': [[[3240, 1836, -1030, -727, -67, 14, 1], 2]], 'hecke_orbit_code': 72057800229916376, 'p': 89}
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id: 3370124
{'charpoly_factorization': [[[83400819264, 0, 9900095760, 0, 439519240, 0, 9439241, 0, 103158, 0, 537, 0, 1], 1]], 'hecke_orbit_code': 72057800229916376, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 17, 'label': '3800.2.d.q', 'level': 3800, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 62045107
{'hecke_orbit_code': 72057800229916376, 'n': 1, 'trace_an': 12}
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id: 62045108
{'hecke_orbit_code': 72057800229916376, 'n': 2, 'trace_an': 0}
-
id: 62045109
{'hecke_orbit_code': 72057800229916376, 'n': 3, 'trace_an': 0}
-
id: 62045110
{'hecke_orbit_code': 72057800229916376, 'n': 4, 'trace_an': 0}
-
id: 62045111
{'hecke_orbit_code': 72057800229916376, 'n': 5, 'trace_an': 0}
-
id: 62045112
{'hecke_orbit_code': 72057800229916376, 'n': 6, 'trace_an': 0}
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id: 62045113
{'hecke_orbit_code': 72057800229916376, 'n': 7, 'trace_an': 0}
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id: 62045114
{'hecke_orbit_code': 72057800229916376, 'n': 8, 'trace_an': 0}
-
id: 62045115
{'hecke_orbit_code': 72057800229916376, 'n': 9, 'trace_an': -12}
-
id: 62045116
{'hecke_orbit_code': 72057800229916376, 'n': 10, 'trace_an': 0}
-
id: 62045117
{'hecke_orbit_code': 72057800229916376, 'n': 11, 'trace_an': 6}
-
id: 62045118
{'hecke_orbit_code': 72057800229916376, 'n': 12, 'trace_an': 0}
-
id: 62045119
{'hecke_orbit_code': 72057800229916376, 'n': 13, 'trace_an': 0}
-
id: 62045120
{'hecke_orbit_code': 72057800229916376, 'n': 14, 'trace_an': 0}
-
id: 62045121
{'hecke_orbit_code': 72057800229916376, 'n': 15, 'trace_an': 0}
-
id: 62045122
{'hecke_orbit_code': 72057800229916376, 'n': 16, 'trace_an': 0}
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id: 62045123
{'hecke_orbit_code': 72057800229916376, 'n': 17, 'trace_an': 0}
-
id: 62045124
{'hecke_orbit_code': 72057800229916376, 'n': 18, 'trace_an': 0}
-
id: 62045125
{'hecke_orbit_code': 72057800229916376, 'n': 19, 'trace_an': 12}
-
id: 62045126
{'hecke_orbit_code': 72057800229916376, 'n': 20, 'trace_an': 0}
-
id: 62045127
{'hecke_orbit_code': 72057800229916376, 'n': 21, 'trace_an': 30}
-
id: 62045128
{'hecke_orbit_code': 72057800229916376, 'n': 22, 'trace_an': 0}
-
id: 62045129
{'hecke_orbit_code': 72057800229916376, 'n': 23, 'trace_an': 0}
-
id: 62045130
{'hecke_orbit_code': 72057800229916376, 'n': 24, 'trace_an': 0}
-
id: 62045131
{'hecke_orbit_code': 72057800229916376, 'n': 25, 'trace_an': 0}
-
id: 62045132
{'hecke_orbit_code': 72057800229916376, 'n': 26, 'trace_an': 0}
-
id: 62045133
{'hecke_orbit_code': 72057800229916376, 'n': 27, 'trace_an': 0}
-
id: 62045134
{'hecke_orbit_code': 72057800229916376, 'n': 28, 'trace_an': 0}
-
id: 62045135
{'hecke_orbit_code': 72057800229916376, 'n': 29, 'trace_an': -18}
-
id: 62045136
{'hecke_orbit_code': 72057800229916376, 'n': 30, 'trace_an': 0}
-
id: 62045137
{'hecke_orbit_code': 72057800229916376, 'n': 31, 'trace_an': 10}
-
id: 62045138
{'hecke_orbit_code': 72057800229916376, 'n': 32, 'trace_an': 0}
-
id: 62045139
{'hecke_orbit_code': 72057800229916376, 'n': 33, 'trace_an': 0}
-
id: 62045140
{'hecke_orbit_code': 72057800229916376, 'n': 34, 'trace_an': 0}
-
id: 62045141
{'hecke_orbit_code': 72057800229916376, 'n': 35, 'trace_an': 0}
-
id: 62045142
{'hecke_orbit_code': 72057800229916376, 'n': 36, 'trace_an': 0}
-
id: 62045143
{'hecke_orbit_code': 72057800229916376, 'n': 37, 'trace_an': 0}
-
id: 62045144
{'hecke_orbit_code': 72057800229916376, 'n': 38, 'trace_an': 0}
-
id: 62045145
{'hecke_orbit_code': 72057800229916376, 'n': 39, 'trace_an': -24}
-
id: 62045146
{'hecke_orbit_code': 72057800229916376, 'n': 40, 'trace_an': 0}
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