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mf_newforms • Show schema
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{'Nk2': 3360, 'analytic_conductor': 6.707433769787552, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [840, 2, [631, 421, 281, 337, 241], [2, 1, 2, 2, 2]], 'cm_discs': [], 'conrey_index': 421, 'dim': 12, 'field_disc': 3058043990573056, 'field_disc_factorization': [[2, 18], [108007, 2]], 'field_poly': [64, 0, 16, 0, 0, -16, 0, -8, 0, 0, 1, 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': [[11, [1024, 0, 6656, 0, 12864, 0, 8320, 0, 1232, 0, 64, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504011977786184, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 64, 'hecke_ring_index_factorization': [[2, 6]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 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mf_hecke_cc • Show schema
Hide schema
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'char_orbit_index': 7, 'conrey_index': 421, 'dual_conrey_index': 421, 'dual_embedding_index': 6, 'dual_embedding_m': 6, 'embedding_index': 5, 'embedding_m': 5, 'embedding_root_imag': -0.6952917960248767, 'embedding_root_real': -1.2314906895224589, 'hecke_orbit': 2, 'hecke_orbit_code': 4504011977786184, 'label': '840.2.g.b.421.5', 'level': 840, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3360, 'analytic_conductor': 6.707433769787552, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [840, 2, [631, 421, 281, 337, 241], [2, 1, 2, 2, 2]], 'conrey_index': 421, 'cusp_dim': 184, 'dim': 48, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [11], 'hecke_orbit_code': 412350415688, 'hecke_orbit_dims': [8, 12, 12, 16], 'label': '840.2.g', 'level': 840, '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, 3, 5, 7], 'level_radical': 210, 'mf_dim': 200, 'mf_new_dim': 48, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 48, 'sturm_bound': 384, 'trace_bound': 2, 'trace_display': [-4, 0, 0, -8], 'traces': [48, -4, 0, 0, 0, -4, -8, -4, -48, 4, 0, 0, 0, 4, 8, 8, 0, 4, 0, 0, 0, 0, 16, 4, -48, 0, 0, -4, 0, 0, -16, 36, 0, 40, 0, 0, 0, -40, 0, -4, 0, 0, 0, -40, 0, 24, 0, -32, 48, 4, 0, -8, 0, 4, 0, 4, 0, -32, 0, -4, 0, 8, 8, -48, 0, -32, 0, 48, 0, 0, -16, 4, 0, -40, 0, 24, 0, -40, 0, -32, 48, -8, 0, 0, 0, 32, 0, 48, 0, -4, 0, 56, 0, 32, 0, 36, 0, -4, 0, 0, 0, 32, 0, 0, 0, 72, 0, 0, 0, -40, 0, -4, -64, 0, 0, -64, 0, -16, 0, 0, 16, 40, 0, 24, 0, -4, 96, -4, 0, -32, 0, -40, 0, 64, -8, 72, 64, 48, 0, 0, 0, -24, -160, -8, 0, 0, 0, -24, 0, 4, 32, -168, 0, 0, 0, -16, 0, 16, -16, 44, -64, -4, 0, 0, 0, -64, 0, 0, -48, 48, 0, -56, 0, -48, 8, 24, 0, 8, 0, 0, 0, 0, -64, 56, 0, 48, 0, -32, 0, 0, 144, 96, -64, -16, 0, 0, 0, 0, 112, 4, 0, -104, 0, 56, 0, 0, -16, -40, 0, 0, 0, 88, 0, -120, 0, -4, 0, -144, 0, -48, 0, 56, 0, 44, 48, 8, 0, 16, 0, 32, 0, -64, 64, 0, 0, 48, 0, 32, 16, 4, -64, -12, 0, 144, 0, -16, -224, -104, 64, -4, 0, 4, 0, 80, 0, -120, 0, 48, 0, -8, 0, 112, 176, -64, 64, -32, 0, -56, 0, 0, -144, 32, 0, -40, 0, -64, 0, 120, 16, 0, 64, -48, 0, -40, 0, -144, 0, -36, -16, 72, 0, 40, 0, -4, -64, 72, 0, 16, 0, 0, 0, -64, 80, 40, 0, -40, 0, -56, 0, 24, -64, 8, 0, 16, 0, 80, 0, 48, -160, 0, -64, 48, 0, 0, 0, -16, 128, -8, 0, 0, 0, 112, 0, 96, 0, -32, -64, 60, 0, -72, 0, 40, -8, 192, 0, -24, 0, 32, 0, -4, 0, -32, 64, 96, 0, 0, 0, 80, -112, 4, -48, 136, 0, -16, 0, 8, 160, 40, 0, -48, 0, 16, 0, -112, -8, -32, -64, 0, 0, 112, 0, -24, 160, -108, 0, -88, 0, -8, 0, 0, 192, -4, 0, -88, 0, 40, 0, 104, 0, -8, 0, -128, 0, -64, 0, -56, 0, 64, 64, 8, 0, -144, 0, -24, 64, -64, 0, -32, 0, 0, 0, -280, 0, -136, 0, 8, 0, -208, 0, 40, -144, 32, 64, -72, 0, -48, 0, -56, -16, 72, -48, 80, 0, -24, 0, -48, -160, 44, 128, -4, 0, -16, 0, -96, 0, -32, -128, 200, 0, 48, 0, -48, 96, 32, -64, 232, 0, 8, 0, -56, 0, 192, -128, -32, 0, -56, 0, -72, -64, 40, 32, -200, 0, -16, 0, -4, -96, 120, -32, 4, 0, -72, 0, 16, 0, 120, 128, 32, 0, 0, 0, 160, 32, -4, -32, 144, 0, 0, 0, 48, 0, -220, 0, 88, 0, -56, 0, 32, 16, 0, -64, 32, 0, -32, 0, 8, 64, 72, 144, -16, 0, 104, 0, 32, 16, 144, 0, 120, 0, 4, 0, -120, 96, -8, 0, 48, 0, 144, 0, 0, -352, 80, 64, -248, 0, -104, 0, -8, -192, -32, 32, 72, 0, 144, 0, 48, -8, -104, -128, -56, 0, 208, 0, -16, -16, 48, 64, -92, 0, -72, 0, -24, 0, -128, 0, -312, 0, 0, 0, -128, 16, 8, -64, 32, 0, 32, 0, -32, 240, -4, 96, 56, 0, -64, 0, -112, -32, -40, 0, 32, 0, -48, 0, 224, 0, -32, -64, -64, 0, -8, 0, 368, 0, -48, 48, 144, 0, 40, 0, 0, 192, -304, 0, 152, 0, 48, 0, 304, 16, -4, -64, -96, 0, -88, 0, 128, -64, -4, -32, 0, 0, 152, 0, 32, 96, -96, 0, 48, 0, -40, 0, 152, 0, -368, 0, 40, 0, 288, 0, -24, -32, -40, 96, -24, 0, -160, 0, -144, 0, -16, 32, -160, 0, -24, 0, 4, -96, 152, -192, -56, 0, -176, 0, -8, 128, 64, 160, -312, 0, 4, 0, 40, -192, 296, 32, 72, 0, 112, 0, -88, 0, 72, 192, 40, 0, -40, 0, -184, 416, 32, 32, 100, 0, 144, 0, 116, 256, 16, -48, 112, 0, -48, 0, -176, 8, 104, -128, 8, 0, 32, 0, -128, -208, 48, 0, -120, 0, 320, 0, 0, 192, -144, 32, -208, 0, 0, 0, -136, -128, 48, 64, -96, 0, -360, 0, -32, 0, -64, -224, 56, 0, -32, 0, -32, 16, -80, 0, 48, 0, -72, 0, -176, 0, 8, 0, 80, 0, 24, 0, 80, 16, -48, -96, 192, 0, -184, 0, 0, 0, -36, 0, -248, 0, 168, 0, 64, -112, 8, 64, 4, 0, 32, 0, 0, -160, -152, -64, -40, 0, 112, 0, 144, -128, 128, 0, 16, 0, -56, 0, -32, -192, 248, 0, 48, 0, 0, 0, -64, 32, 0, -48, 256, 0, 288, 0, -32, 72, 264, 0, -40, 0, -56, 0, 112, 0, 88, 192, 80, 0, -128, 0, -40, -400, -36, -64, 80, 0, -40, 0, 40, -352, 240, 0, 256, 0, -16, 0, -312, 144, -80, 0, 4, 0, -352, 0, -216, -64, -88, -128, 24, 0, -256, 0, 128, 0, 116, 32, -120, 0, 0, 0, 208, -64, 40, 0, 0, 0, -144, 0, -40, 208, -32, -256, 152, 0, 176, 0, -32, 128, -32, 32, -8, 0, 40, 0, 48, 0, -96, 64, -32, 0, 96, 0, 64, 0, 0, 0, -8, 0, 40, 0, -40, 0, -208, 0, -224, 0, -176, 0, 40, 208, -32, 64, -72, 0, -184, 0, -144, -16, -52, 144, 256, 0, -16, 0, -80, 128, -76, -64, -32, 0, 0, 0, 400, 0, 112, 64, 80, 0, 0, 0, -160, 608, -192, -128, -48, 0, 96, 0, 40, 0, -344, -64, -32, 0, 0, 0, -88, 0, 4], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 35438892
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 421, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 4504011977786184, 'source_is_minimal': True, 'source_label': '840.2.g.b.421.5', 'source_level': 840, 'target_conrey_index': 421, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504011977786184, 'target_is_minimal': True, 'target_label': '840.2.g.b.421.5', 'target_level': 840, 'twist_class_label': '840.2.g.b.421.5', 'twist_class_level': 840, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35438893
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 421, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 4504011977786184, 'source_is_minimal': True, 'source_label': '840.2.g.b.421.5', 'source_level': 840, 'target_conrey_index': 1681, 'target_dim': 12, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007611605159200, 'target_is_minimal': False, 'target_label': '3360.2.g.c.1681.8', 'target_level': 3360, 'twist_class_label': '840.2.g.b.421.5', 'twist_class_level': 840, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35438894
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 421, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 4504011977786184, 'source_is_minimal': True, 'source_label': '840.2.g.b.421.5', 'source_level': 840, 'target_conrey_index': 1681, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007611605159200, 'target_is_minimal': False, 'target_label': '3360.2.g.c.1681.5', 'target_level': 3360, 'twist_class_label': '840.2.g.b.421.5', 'twist_class_level': 840, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35438895
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 421, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 4504011977786184, 'source_is_minimal': True, 'source_label': '840.2.g.b.421.5', 'source_level': 840, 'target_conrey_index': 421, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504011977786184, 'target_is_minimal': True, 'target_label': '840.2.g.b.421.6', 'target_level': 840, 'twist_class_label': '840.2.g.b.421.5', 'twist_class_level': 840, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1394075
{'charpoly_factorization': [[[64, 64, 16, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1], 1]], 'hecke_orbit_code': 4504011977786184, 'p': 2}
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id: 1394076
{'charpoly_factorization': [[[1, 0, 1], 6]], 'hecke_orbit_code': 4504011977786184, 'p': 3}
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id: 1394077
{'charpoly_factorization': [[[1, 0, 1], 6]], 'hecke_orbit_code': 4504011977786184, 'p': 5}
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id: 1394078
{'charpoly_factorization': [[[1, 1], 12]], 'hecke_orbit_code': 4504011977786184, 'p': 7}
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id: 1394079
{'charpoly_factorization': [[[1024, 0, 6656, 0, 12864, 0, 8320, 0, 1232, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 4504011977786184, 'p': 11}
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id: 1394080
{'charpoly_factorization': [[[1024, 0, 6656, 0, 12864, 0, 8320, 0, 1232, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 4504011977786184, 'p': 13}
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id: 1394081
{'charpoly_factorization': [[[-128, 0, 256, -80, -52, 0, 1], 2]], 'hecke_orbit_code': 4504011977786184, 'p': 17}
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id: 1394082
{'charpoly_factorization': [[[65536, 0, 98304, 0, 55360, 0, 14336, 0, 1664, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 4504011977786184, 'p': 19}
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id: 1394083
{'charpoly_factorization': [[[-9216, 10496, -3744, 256, 104, -20, 1], 2]], 'hecke_orbit_code': 4504011977786184, 'p': 23}
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id: 1394084
{'charpoly_factorization': [[[13778944, 0, 10600448, 0, 2140416, 0, 189440, 0, 8160, 0, 160, 0, 1], 1]], 'hecke_orbit_code': 4504011977786184, 'p': 29}
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id: 1394085
{'charpoly_factorization': [[[-9536, 3680, 1848, -344, -100, 4, 1], 2]], 'hecke_orbit_code': 4504011977786184, 'p': 31}
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id: 1394086
{'charpoly_factorization': [[[34828517376, 0, 5134188544, 0, 272270336, 0, 6524416, 0, 77632, 0, 448, 0, 1], 1]], 'hecke_orbit_code': 4504011977786184, 'p': 37}
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id: 1394087
{'charpoly_factorization': [[[-2304, -1024, 704, 160, -76, 0, 1], 2]], 'hecke_orbit_code': 4504011977786184, 'p': 41}
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id: 1394088
{'charpoly_factorization': [[[685182976, 0, 322193408, 0, 36608768, 0, 1641216, 0, 32688, 0, 296, 0, 1], 1]], 'hecke_orbit_code': 4504011977786184, 'p': 43}
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id: 1394089
{'charpoly_factorization': [[[130944, 46912, -7952, -3024, -128, 16, 1], 2]], 'hecke_orbit_code': 4504011977786184, 'p': 47}
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id: 1394090
{'charpoly_factorization': [[[3229876224, 0, 877305856, 0, 76859968, 0, 2880000, 0, 49792, 0, 376, 0, 1], 1]], 'hecke_orbit_code': 4504011977786184, 'p': 53}
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id: 1394091
{'charpoly_factorization': [[[27945140224, 0, 3643088896, 0, 183171328, 0, 4599552, 0, 60896, 0, 400, 0, 1], 1]], 'hecke_orbit_code': 4504011977786184, 'p': 59}
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id: 1394092
{'charpoly_factorization': [[[1778814976, 0, 1717299200, 0, 231353088, 0, 7604992, 0, 96560, 0, 520, 0, 1], 1]], 'hecke_orbit_code': 4504011977786184, 'p': 61}
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id: 1394093
{'charpoly_factorization': [[[4096, 0, 7997440, 0, 2448128, 0, 247552, 0, 9904, 0, 168, 0, 1], 1]], 'hecke_orbit_code': 4504011977786184, 'p': 67}
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id: 1394094
{'charpoly_factorization': [[[-256, -2624, 2296, -264, -108, 4, 1], 2]], 'hecke_orbit_code': 4504011977786184, 'p': 71}
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id: 1394095
{'charpoly_factorization': [[[15328, -7968, -728, 1016, -160, 0, 1], 2]], 'hecke_orbit_code': 4504011977786184, 'p': 73}
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id: 1394096
{'charpoly_factorization': [[[-2345984, -974848, -140208, -6176, 344, 40, 1], 2]], 'hecke_orbit_code': 4504011977786184, 'p': 79}
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id: 1394097
{'charpoly_factorization': [[[4194304, 0, 25165824, 0, 6361088, 0, 552960, 0, 19584, 0, 256, 0, 1], 1]], 'hecke_orbit_code': 4504011977786184, 'p': 83}
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id: 1394098
{'charpoly_factorization': [[[-16896, 41216, 18496, -800, -348, 0, 1], 2]], 'hecke_orbit_code': 4504011977786184, 'p': 89}
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id: 1394099
{'charpoly_factorization': [[[96, -224, 104, 56, -32, 0, 1], 2]], 'hecke_orbit_code': 4504011977786184, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 2, 'label': '840.2.g.b', 'level': 840, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 22751449
{'hecke_orbit_code': 4504011977786184, 'n': 1, 'trace_an': 12}
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id: 22751450
{'hecke_orbit_code': 4504011977786184, 'n': 2, 'trace_an': -2}
-
id: 22751451
{'hecke_orbit_code': 4504011977786184, 'n': 3, 'trace_an': 0}
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id: 22751452
{'hecke_orbit_code': 4504011977786184, 'n': 4, 'trace_an': 2}
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id: 22751453
{'hecke_orbit_code': 4504011977786184, 'n': 5, 'trace_an': 0}
-
id: 22751454
{'hecke_orbit_code': 4504011977786184, 'n': 6, 'trace_an': 0}
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id: 22751455
{'hecke_orbit_code': 4504011977786184, 'n': 7, 'trace_an': -12}
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id: 22751456
{'hecke_orbit_code': 4504011977786184, 'n': 8, 'trace_an': -2}
-
id: 22751457
{'hecke_orbit_code': 4504011977786184, 'n': 9, 'trace_an': -12}
-
id: 22751458
{'hecke_orbit_code': 4504011977786184, 'n': 10, 'trace_an': 0}
-
id: 22751459
{'hecke_orbit_code': 4504011977786184, 'n': 11, 'trace_an': 0}
-
id: 22751460
{'hecke_orbit_code': 4504011977786184, 'n': 12, 'trace_an': 0}
-
id: 22751461
{'hecke_orbit_code': 4504011977786184, 'n': 13, 'trace_an': 0}
-
id: 22751462
{'hecke_orbit_code': 4504011977786184, 'n': 14, 'trace_an': 2}
-
id: 22751463
{'hecke_orbit_code': 4504011977786184, 'n': 15, 'trace_an': -12}
-
id: 22751464
{'hecke_orbit_code': 4504011977786184, 'n': 16, 'trace_an': 2}
-
id: 22751465
{'hecke_orbit_code': 4504011977786184, 'n': 17, 'trace_an': 0}
-
id: 22751466
{'hecke_orbit_code': 4504011977786184, 'n': 18, 'trace_an': 2}
-
id: 22751467
{'hecke_orbit_code': 4504011977786184, 'n': 19, 'trace_an': 0}
-
id: 22751468
{'hecke_orbit_code': 4504011977786184, 'n': 20, 'trace_an': 0}
-
id: 22751469
{'hecke_orbit_code': 4504011977786184, 'n': 21, 'trace_an': 0}
-
id: 22751470
{'hecke_orbit_code': 4504011977786184, 'n': 22, 'trace_an': 0}
-
id: 22751471
{'hecke_orbit_code': 4504011977786184, 'n': 23, 'trace_an': 40}
-
id: 22751472
{'hecke_orbit_code': 4504011977786184, 'n': 24, 'trace_an': 0}
-
id: 22751473
{'hecke_orbit_code': 4504011977786184, 'n': 25, 'trace_an': -12}
-
id: 22751474
{'hecke_orbit_code': 4504011977786184, 'n': 26, 'trace_an': 0}
-
id: 22751475
{'hecke_orbit_code': 4504011977786184, 'n': 27, 'trace_an': 0}
-
id: 22751476
{'hecke_orbit_code': 4504011977786184, 'n': 28, 'trace_an': -2}
-
id: 22751477
{'hecke_orbit_code': 4504011977786184, 'n': 29, 'trace_an': 0}
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