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mf_newforms • Show schema
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{'Nk2': 11880, 'analytic_conductor': 23.715569400320273, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [2970, 3, [1541, 2377, 541], [2, 3, 3]], 'cm_discs': [], 'conrey_index': 991, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [1, -1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504149416741786, 'hecke_ring_generator_nbound': 2, '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, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2970.2.i.b', 'level': 2970, '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, 11], 'level_radical': 330, 'minimal_twist': '990.2.i.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\zeta_{6})q^{2}-\\zeta_{6}q^{4}+\\zeta_{6}q^{5}+(1-\\zeta_{6})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2970.2.i', 'trace_display': [1, 0, 1, 1], 'trace_hash': 789924642373027216, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.026', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.060', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.641', 'prec': 20}, {'__RealLiteral__': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 11880, 'analytic_conductor': 23.715569400320273, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [2970, 3, [1541, 2377, 541], [2, 3, 3]], 'conrey_index': 991, 'cusp_dim': 1248, 'dim': 80, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 549789371290, 'hecke_orbit_dims': [2, 2, 6, 6, 6, 6, 6, 6, 12, 14, 14], 'label': '2970.2.i', 'level': 2970, '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, 11], 'level_radical': 330, 'mf_dim': 1344, 'mf_new_dim': 80, 'num_forms': 11, 'prim_orbit_index': 3, 'relative_dim': 40, 'sturm_bound': 1296, 'trace_bound': 7, 'trace_display': [0, 0, 4, -8], 'traces': [80, 0, 0, -40, 4, 0, -8, 0, 0, 0, 0, 0, -8, -4, 0, -40, 0, 0, 16, 4, 0, 0, 0, 0, -40, 0, 0, 16, -4, 0, -8, 0, 0, 0, 0, 0, 16, 24, 0, 0, -20, 0, -8, 0, 0, -24, -24, 0, -36, 0, 0, -8, 16, 0, 0, -4, 0, 0, 32, 0, -44, 48, 0, 80, 0, 0, -56, 0, 0, 12, -128, 0, 112, -24, 0, -8, 16, 0, -8, -8, 0, 0, -32, 0, 0, -8, 0, 0, 56, 0, 128, 0, 0, 12, -16, 0, -8, 0, 0, 80, 72, 0, -56, 0, 0, 0, 64, 0, -8, 12, 0, -8, -24, 0, 0, 8, 0, 0, -20, 0, -40, 8, 0, -8, -8, 0, 16, 0, 0, 0, 16, 0, -64, -88, 0, 0, 112, 0, -8, 0, 0, 0, 0, 0, -24, -44, 0, -8, -60, 0, -56, -48, 0, 0, 16, 0, -8, 24, 0, 0, 104, 0, 16, -20, 0, 12, 40, 0, -48, -48, 0, 16, -128, 0, -8, 0, 0, 0, 144, 0, -8, -24, 0, 12, 8, 0, 0, 48, 0, 0, 56, 0, -56, 0, 0, -36, -144, 0, 16, 0, 0, 0, 16, 0, 12, 32, 0, 16, 0, 0, -8, -8, 0, 12, 0, 0, 128, 104, 0, 0, 0, 0, -8, 8, 0, 0, -136, 0, 4, -4, 0, 0, -128, 0, 0, 32, 0, 0, -32, 0, 4, 0, 0, 88, 24, 0, -64, -24, 0, 0, -32, 0, 0, -80, 0, -40, 16, 0, -64, 0, 0, 0, -24, 0, 0, -40, 0, -56, -24, 0, 112, 0, 0, 0, 0, 0, -8, -64, 0, -24, -12, 0, -8, 64, 0, 0, 16, 0, 80, 40, 0, -56, 24, 0, 0, 48, 0, 48, 216, 0, -64, 0, 0, -8, 72, 0, 112, 16, 0, 0, -104, 0, -32, 160, 0, 16, -40, 0, 0, 4, 0, -24, 96, 0, 16, -24, 0, 0, 92, 0, -56, 64, 0, -24, -52, 0, -56, 48, 0, 0, 0, 0, 80, -8, 0, 48, 64, 0, 52, 8, 0, 0, 72, 0, 48, -28, 0, 72, -288, 0, 144, -88, 0, -64, -48, 0, 16, 0, 0, 0, 16, 0, -56, 0, 0, 12, -80, 0, 16, -16, 0, -48, -40, 0, 0, 128, 0, 16, -156, 0, 120, 0, 0, -48, 48, 0, 64, 80, 0, -40, 32, 0, -160, -144, 0, -24, 0, 0, -80, 0, 0, -56, 288, 0, 0, 0, 0, -24, -8, 0, -80, 32, 0, 0, 0, 0, -64, -32, 0, -72, -304, 0, 16, 112, 0, 4, -104, 0, -8, -24, 0, -48, -8, 0, 12, -4, 0, -8, 24, 0, 0, -24, 0, -72, -32, 0, 88, -176, 0, 0, 188, 0, 112, -4, 0, -24, -112, 0, -40, -28, 0, 0, -16, 0, -8, 40, 0, -48, -56, 0, 56, 56, 0, -40, -80, 0, -80, 8, 0, 0, -16, 0, 48, 32, 0, 16, -48, 0, -8, 4, 0, 72, 320, 0, 48, 0, 0, -8, 28, 0, 56, 0, 0, 0, -56, 0, 0, -32, 0, 0, 104, 0, 112, 16, 0, 0, 72, 0, 68, 0, 0, 128, -128, 0, 0, 44, 0, 72, 96, 0, -56, 88, 0, 0, 28, 0, -152, -224, 0, 0, -196, 0, -232, -80, 0, -8, 288, 0, 320, 0, 0, 0, 144, 0, 0, -72, 0, 0, -40, 0, -56, 0, 0, -108, 0, 0, 256, -192, 0, 12, 36, 0, 0, 88, 0, 48, 96, 0, -64, 0, 0, -8, -112, 0, 0, -60, 0, 144, 104, 0, -128, -96, 0, 112, 4, 0, -56, 24, 0, 0, 160, 0, 16, 148, 0, 0, 48, 0, -200, -32, 0, 0, 352, 0, -40, -64, 0, -8, -480, 0, -32, 24, 0, -48, -56, 0, -264, -80, 0, 0, -44, 0, -104, -52, 0, 72, 288, 0, 0, 0, 0, -8, -24, 0, 48, 40, 0, 48, 104, 0, -128, -120, 0, 12, 104, 0, -96, 40, 0, 12, -32, 0, -32, 176, 0, 96, 232, 0, -208, 24, 0, 0, -400, 0, 0, -128, 0, -8, -24, 0, -8, 256, 0, 48, -48, 0, 120, 72, 0, -8, 104, 0, 368, 0, 0, -48, -192, 0, 52, 80, 0, 0, -112, 0, 0, -72, 0, 0, 128, 0, -16, -96, 0, 4, -4, 0, -8, 48, 0, 0, 8, 0, 112, 48, 0, 12, -80, 0, -80, 8, 0, 120, -184, 0, 12, -224, 0, 0, -20, 0, -104, -24, 0, 0, -32, 0, 208, -88, 0, 0, 220, 0, 32, -112, 0, 96, -112, 0, 148, 32, 0, -56, -224, 0, 16, 0, 0, -48, -48, 0, -24, 0, 0, 72, 64, 0, -200, 72, 0, 0, -480, 0, 32, 56, 0, -8, 240, 0, 192, 0, 0, 96, -16, 0, -60, 40, 0, 0, 128, 0, 16, 16, 0, 48, 96, 0, 32, -64, 0, -24, -188, 0, -56, -16, 0, 48, 272, 0, -8, 36, 0, -8, -312, 0, 0, 0, 0, -48, -80, 0, -124, 40, 0, -8, 72, 0, 16, -8, 0, 0, 104, 0, -248, 24, 0, -24, 16, 0, 88, 0, 0, -48, 352, 0, 0, 240, 0, -64, -48, 0, 8, -208, 0, 0, 0, 0, 160, 216, 0, 0, 288, 0, -80, 0, 0, -36, -312, 0, -220, 96, 0, 16, 112, 0, 0, -4, 0, -48, 96, 0, 0, 56, 0, 0, 84, 0, -104, 272, 0, 0, 24, 0, 0, -120, 0, 4, -528, 0, 16, -4, 0, -72, -96, 0, -8, 192, 0, 0, -248, 0, -120, 64, 0, -120, 0, 0, -80, -112, 0, 0, -108, 0, -96, -64, 0, 0, 144, 0, 80, 24, 0, 0, -112, 0, 0, -32, 0, -96, 344, 0, 24, -80, 0, -8, 8, 0, -80, 0, 0, 0, 320, 0, 176, -96, 0, -44, -40, 0, 0, -48, 0, 0, -32, 0, 0, 88, 0, -64, 80, 0, 136, -24, 0, 36, -80, 0, 64, 192, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 35828060
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 991, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416741786, 'source_is_minimal': False, 'source_label': '2970.2.i.b.991.1', 'source_level': 2970, 'target_conrey_index': 991, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416741786, 'target_is_minimal': False, 'target_label': '2970.2.i.b.991.1', 'target_level': 2970, 'twist_class_label': '990.2.i.a.331.1', 'twist_class_level': 990, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35828061
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 991, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416741786, 'source_is_minimal': False, 'source_label': '2970.2.i.b.991.1', 'source_level': 2970, 'target_conrey_index': 331, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789369310, 'target_is_minimal': True, 'target_label': '990.2.i.a.331.1', 'target_level': 990, 'twist_class_label': '990.2.i.a.331.1', 'twist_class_level': 990, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35828062
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 991, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416741786, 'source_is_minimal': False, 'source_label': '2970.2.i.b.991.1', 'source_level': 2970, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562009294, 'target_is_minimal': False, 'target_label': '8910.2.a.m.1.1', 'target_level': 8910, 'twist_class_label': '990.2.i.a.331.1', 'twist_class_level': 990, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35828063
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 991, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416741786, 'source_is_minimal': False, 'source_label': '2970.2.i.b.991.1', 'source_level': 2970, 'target_conrey_index': 1981, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416741786, 'target_is_minimal': False, 'target_label': '2970.2.i.b.1981.1', 'target_level': 2970, 'twist_class_label': '990.2.i.a.331.1', 'twist_class_level': 990, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35828064
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 991, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416741786, 'source_is_minimal': False, 'source_label': '2970.2.i.b.991.1', 'source_level': 2970, 'target_conrey_index': 661, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789369310, 'target_is_minimal': True, 'target_label': '990.2.i.a.661.1', 'target_level': 990, 'twist_class_label': '990.2.i.a.331.1', 'twist_class_level': 990, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35828065
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 991, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416741786, 'source_is_minimal': False, 'source_label': '2970.2.i.b.991.1', 'source_level': 2970, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288304334, 'target_is_minimal': False, 'target_label': '8910.2.a.c.1.1', 'target_level': 8910, 'twist_class_label': '990.2.i.a.331.1', 'twist_class_level': 990, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2944600
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504149416741786, 'p': 2}
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id: 2944601
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504149416741786, 'p': 3}
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id: 2944602
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504149416741786, 'p': 5}
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id: 2944603
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504149416741786, 'p': 7}
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id: 2944604
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 4504149416741786, 'p': 11}
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id: 2944605
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 4504149416741786, 'p': 13}
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id: 2944606
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504149416741786, 'p': 17}
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id: 2944607
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 4504149416741786, 'p': 19}
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id: 2944608
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 4504149416741786, 'p': 23}
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id: 2944609
{'charpoly_factorization': [[[81, 9, 1], 1]], 'hecke_orbit_code': 4504149416741786, 'p': 29}
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id: 2944610
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 4504149416741786, 'p': 31}
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id: 2944611
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 4504149416741786, 'p': 37}
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id: 2944612
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 4504149416741786, 'p': 41}
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id: 2944613
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 4504149416741786, 'p': 43}
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id: 2944614
{'charpoly_factorization': [[[81, 9, 1], 1]], 'hecke_orbit_code': 4504149416741786, 'p': 47}
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id: 2944615
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504149416741786, 'p': 53}
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id: 2944616
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504149416741786, 'p': 59}
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id: 2944617
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504149416741786, 'p': 61}
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id: 2944618
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504149416741786, 'p': 67}
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id: 2944619
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 4504149416741786, 'p': 71}
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id: 2944620
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 4504149416741786, 'p': 73}
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id: 2944621
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 4504149416741786, 'p': 79}
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id: 2944622
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 4504149416741786, 'p': 83}
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id: 2944623
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 4504149416741786, 'p': 89}
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id: 2944624
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 4504149416741786, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 2, 'label': '2970.2.i.b', 'level': 2970, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 23354653
{'hecke_orbit_code': 4504149416741786, 'n': 1, 'trace_an': 2}
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id: 23354654
{'hecke_orbit_code': 4504149416741786, 'n': 2, 'trace_an': 1}
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id: 23354655
{'hecke_orbit_code': 4504149416741786, 'n': 3, 'trace_an': 0}
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id: 23354656
{'hecke_orbit_code': 4504149416741786, 'n': 4, 'trace_an': -1}
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id: 23354657
{'hecke_orbit_code': 4504149416741786, 'n': 5, 'trace_an': 1}
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id: 23354658
{'hecke_orbit_code': 4504149416741786, 'n': 6, 'trace_an': 0}
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id: 23354659
{'hecke_orbit_code': 4504149416741786, 'n': 7, 'trace_an': 1}
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id: 23354660
{'hecke_orbit_code': 4504149416741786, 'n': 8, 'trace_an': -2}
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id: 23354661
{'hecke_orbit_code': 4504149416741786, 'n': 9, 'trace_an': 0}
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id: 23354662
{'hecke_orbit_code': 4504149416741786, 'n': 10, 'trace_an': 2}
-
id: 23354663
{'hecke_orbit_code': 4504149416741786, 'n': 11, 'trace_an': -1}
-
id: 23354664
{'hecke_orbit_code': 4504149416741786, 'n': 12, 'trace_an': 0}
-
id: 23354665
{'hecke_orbit_code': 4504149416741786, 'n': 13, 'trace_an': 4}
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id: 23354666
{'hecke_orbit_code': 4504149416741786, 'n': 14, 'trace_an': -1}
-
id: 23354667
{'hecke_orbit_code': 4504149416741786, 'n': 15, 'trace_an': 0}
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id: 23354668
{'hecke_orbit_code': 4504149416741786, 'n': 16, 'trace_an': -1}
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id: 23354669
{'hecke_orbit_code': 4504149416741786, 'n': 17, 'trace_an': 0}
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id: 23354670
{'hecke_orbit_code': 4504149416741786, 'n': 18, 'trace_an': 0}
-
id: 23354671
{'hecke_orbit_code': 4504149416741786, 'n': 19, 'trace_an': 4}
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id: 23354672
{'hecke_orbit_code': 4504149416741786, 'n': 20, 'trace_an': 1}
-
id: 23354673
{'hecke_orbit_code': 4504149416741786, 'n': 21, 'trace_an': 0}
-
id: 23354674
{'hecke_orbit_code': 4504149416741786, 'n': 22, 'trace_an': 1}
-
id: 23354675
{'hecke_orbit_code': 4504149416741786, 'n': 23, 'trace_an': 3}
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id: 23354676
{'hecke_orbit_code': 4504149416741786, 'n': 24, 'trace_an': 0}
-
id: 23354677
{'hecke_orbit_code': 4504149416741786, 'n': 25, 'trace_an': -1}
-
id: 23354678
{'hecke_orbit_code': 4504149416741786, 'n': 26, 'trace_an': 8}
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id: 23354679
{'hecke_orbit_code': 4504149416741786, 'n': 27, 'trace_an': 0}
-
id: 23354680
{'hecke_orbit_code': 4504149416741786, 'n': 28, 'trace_an': -2}
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id: 23354681
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id: 23354910
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