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mf_newforms • Show schema
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{'Nk2': 1480, 'analytic_conductor': 2.9544648747873743, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 185, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 6, 'char_parity': 1, 'char_values': [370, 6, [297, 261], [3, 4]], 'cm_discs': [], 'conrey_index': 269, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [0, 1]], [7, [4, -12, 14, -6, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008092641493362, '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, 185, 14, 1, 6, 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': True, 'label': '370.2.n.c', 'level': 370, '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': True, 'level_primes': [2, 5, 37], 'level_radical': 370, 'minimal_twist': '370.2.n.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 14, 'qexp_display': 'q+\\zeta_{12}q^{2}+\\zeta_{12}^{2}q^{4}+(2-\\zeta_{12}-2\\zeta_{12}^{2}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '370.2.n', 'trace_display': [0, 0, 4, 6], 'trace_hash': 1173402184799311864, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.687', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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'weight': 2, 'weight_parity': 1}
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mf_hecke_cc • Show schema
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{'an_normalized': [[1.0, 0.0], [0.6123724356957945, -0.3535533905932738], [0.0, 0.0], [0.25, -0.4330127018922193], [0.05991526087921625, 0.9982034669914623], [0.0, 0.0], [0.23961987415985228, 0.13834459884937494], [0.0, -0.3535533905932738], [-0.5, -0.8660254037844386], [0.38960867449674713, 0.590089044769421], [1.4267670016003844, 0.0], [0.0, 0.0], [1.312434755753105, 0.7577345595278759], [0.19564880797385134, 0.0], [0.0, 0.0], [-0.125, -0.21650635094610965], [-0.36380343755449945, 0.21004201260420147], [-0.6123724356957945, -0.3535533905932738], [0.5428034543655992, -0.9401631614851124], [0.4472135954999579, 0.22360679774997896], [0.0, 0.0], [0.873712783940413, -0.5044383110024148], [0.0, 1.1393439466287647], [0.0, 0.0], [-0.992820323027551, 0.11961524227066318], [1.0715984907631255, 0.0], [0.0, 0.0], [0.11980993707992614, -0.06917229942468747], [-0.32163376045133846, 0.0], [0.0, 0.0], [-1.7350328441224128, 0.0], [-0.15309310892394862, -0.08838834764831845], [0.0, 0.0], 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mf_newspaces • Show schema
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{'Nk2': 1480, 'analytic_conductor': 2.9544648747873743, 'char_conductor': 185, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 6, 'char_parity': 1, 'char_values': [370, 6, [297, 261], [3, 4]], 'conrey_index': 269, 'cusp_dim': 108, 'dim': 36, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 893386752370, 'hecke_orbit_dims': [4, 4, 4, 4, 8, 12], 'label': '370.2.n', 'level': 370, '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': True, 'level_primes': [2, 5, 37], 'level_radical': 370, 'mf_dim': 124, 'mf_new_dim': 36, 'num_forms': 6, 'prim_orbit_index': 14, 'relative_dim': 18, 'sturm_bound': 114, 'trace_bound': 7, 'trace_display': [0, 0, 4, 0], 'traces': [36, 0, 0, 18, 4, 0, 0, 0, 18, 4, -12, 0, 0, -8, 0, -18, 0, 0, 14, -4, 16, 0, 0, 0, -10, -12, 0, 0, 16, -8, -32, 0, 0, -12, 8, 36, 0, 0, -20, 2, 4, 0, 0, -6, 64, -6, 0, 0, -6, -32, -8, 0, 0, 0, -12, -4, 0, 0, 46, 0, -24, 0, 0, -36, -30, 8, 0, 0, -52, 12, 36, 0, 0, -2, 16, -14, 0, 0, 12, -8, -34, 0, 0, 32, -24, 28, 0, 0, -30, -14, 0, 0, 0, -6, 24, 0, 0, 0, -94, -20, -80, 0, 0, -6, -152, 8, 0, 0, -32, 52, -60, 0, 0, -36, 30, 8, 0, 0, 56, 8, -56, 0, 0, -16, 64, -48, 0, 0, -64, 24, 76, 0, 0, -24, -20, 12, 0, 0, 22, 16, -8, 0, 0, 18, -56, 0, 0, 0, 168, -20, 16, 0, 0, 40, -24, -40, 0, 0, 0, -2, -16, 0, 0, -4, -64, -12, 0, 0, -8, 20, 180, 0, 0, 232, 96, 6, 0, 0, 92, 32, 144, 0, 0, -12, 36, 56, 0, 0, 0, -26, 152, 0, 0, -24, 24, -12, 0, 0, 32, 32, -40, 0, 0, -4, -4, 86, 0, 0, 58, 8, -108, 0, 0, 0, 56, 0, 0, 0, 24, 12, -24, 0, 0, 4, 82, -36, 0, 0, 28, 32, -156, 0, 0, 2, -50, 92, 0, 0, 36, 0, -62, 0, 0, 24, -16, -32, 0, 0, -304, -10, 4, 0, 0, -78, 8, -18, 0, 0, -160, -60, -12, 0, 0, 4, -88, 32, 0, 0, 184, -32, 8, 0, 0, -64, 34, 52, 0, 0, -48, -12, -66, 0, 0, -36, -32, 20, 0, 0, -74, -88, -4, 0, 0, -64, 256, 2, 0, 0, -206, 8, -56, 0, 0, -28, 0, -312, 0, 0, 180, -32, 12, 0, 0, 38, -40, -12, 0, 0, -104, -4, 136, 0, 0, 34, -216, 52, 0, 0, -144, 32, 190, 0, 0, 48, -12, 16, 0, 0, 192, -12, -48, 0, 0, 56, 56, 118, 0, 0, -32, -64, 164, 0, 0, -132, -128, -60, 0, 0, 64, -28, 12, 0, 0, 0, 76, -56, 0, 0, -216, 84, -200, 0, 0, -76, -84, -12, 0, 0, 204, 48, -64, 0, 0, 0, 84, 4, 0, 0, 48, 72, -16, 0, 0, 96, 44, -188, 0, 0, 80, -10, 68, 0, 0, -40, 124, 112, 0, 0, 20, 4, -40, 0, 0, -2, 64, 6, 0, 0, -158, -76, -152, 0, 0, -8, -16, -32, 0, 0, 236, 216, -140, 0, 0, 48, -172, -64, 0, 0, -76, 26, 102, 0, 0, -36, 24, -14, 0, 0, 20, -160, -52, 0, 0, 96, -152, 36, 0, 0, -92, -30, -24, 0, 0, -8, 60, -112, 0, 0, -28, -56, 272, 0, 0, -148, -228, 28, 0, 0, -272, 16, 148, 0, 0, -28, -24, 40, 0, 0, -48, -18, 12, 0, 0, 38, 96, 16, 0, 0, 36, 32, 8, 0, 0, -96, -12, 14, 0, 0, 20, 88, -124, 0, 0, 0, -86, 64, 0, 0, -88, -24, 70, 0, 0, 152, 36, -12, 0, 0, 312, -84, -70, 0, 0, 96, -4, -12, 0, 0, -122, 20, 0, 0, 0, 24, 264, -44, 0, 0, 720, 96, 84, 0, 0, -248, 292, 44, 0, 0, -96, 8, 80, 0, 0, 8, -96, -64, 0, 0, 156, 164, -86, 0, 0, 4, -100, -18, 0, 0, 256, 56, 48, 0, 0, 0, 198, 20, 0, 0, -12, 42, -128, 0, 0, 132, 148, 84, 0, 0, 228, -40, -42, 0, 0, -16, -12, 584, 0, 0, 56, -12, 82, 0, 0, 56, -32, 20, 0, 0, -240, 24, 152, 0, 0, -20, 90, -52, 0, 0, -144, -280, 36, 0, 0, 10, -212, 0, 0, 0, 88, -4, -14, 0, 0, 16, 104, 148, 0, 0, -122, -10, 28, 0, 0, -164, -376, -8, 0, 0, -106, -128, 4, 0, 0, 12, 312, 60, 0, 0, -316, -96, -224, 0, 0, 56, 24, -16, 0, 0, 224, 40, 312, 0, 0, 90, -60, 4, 0, 0, -344, -64, 144, 0, 0, 84, -104, 116, 0, 0, -496, 48, -68, 0, 0, 12, -92, 132, 0, 0, -112, -40, -160, 0, 0, 216, 130, 46, 0, 0, -32, -32, 144, 0, 0, -144, -224, -368, 0, 0, 300, 32, -196, 0, 0, 92, 132, -6, 0, 0, -260, 78, -408, 0, 0, 28, -60, -148, 0, 0, -8, 48, 80, 0, 0, -336, 36, 0, 0, 0, -124, 26, -154, 0, 0, 76, 180, -412, 0, 0, -56, -8, -424, 0, 0, 60, 148, -48, 0, 0, 136, 12, -52, 0, 0, -6, -52, 92, 0, 0, -52, -144, -112, 0, 0, -34, -80, 16, 0, 0, 312, 64, -218, 0, 0, -80, -152, -464, 0, 0, -146, 214, 14, 0, 0, 6, -112, 4, 0, 0, 264, -8, -180, 0, 0, 172, -520, 220, 0, 0, -356, 0, -172, 0, 0, 68, 160, -58, 0, 0, -104, 16, 508, 0, 0, -54, -352, 138, 0, 0, -376, 96, 290, 0, 0, -280, 144, 0, 0, 0, 124, -56, 160, 0, 0, 0, 220, -92, 0, 0, -196, 76, -120, 0, 0, 4, -64, -24, 0, 0, 276, 24, 54, 0, 0, -12, -84, 36, 0, 0, 368, 38, 102, 0, 0, 72, 76, 8, 0, 0, 40, -82, -228, 0, 0, 36, -28, -184, 0, 0, -152, 32, 400, 0, 0, 384, 240, -28, 0, 0, 536, 16, 248, 0, 0, -312, 80, 64, 0, 0, 34, -168, -276, 0, 0, -28, -216, 4, 0, 0, -40, 50, 60, 0, 0, 46, 80, 256, 0, 0, 240, 48, 304, 0, 0, 440, 92, 72, 0, 0, 12, 0, 100, 0, 0, 62, 204, 104, 0, 0, 128, -64, -62, 0, 0, -156, -84, 48, 0, 0, 302, -8, -164, 0, 0, 32, -16, 64, 0, 0, -320, 58, 136, 0, 0, -184, 20, -152, 0, 0, -768, -20], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 41319859
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 359, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008092641493362, 'source_is_minimal': True, 'source_label': '370.2.n.c.359.2', 'source_level': 370, 'target_conrey_index': 359, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008092641493362, 'target_is_minimal': True, 'target_label': '370.2.n.c.359.2', 'target_level': 370, 'twist_class_label': '370.2.n.a.269.1', 'twist_class_level': 370, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41319860
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 359, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008092641493362, 'source_is_minimal': True, 'source_label': '370.2.n.c.359.2', 'source_level': 370, 'target_conrey_index': 359, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752370, 'target_is_minimal': True, 'target_label': '370.2.n.a.359.1', 'target_level': 370, 'twist_class_label': '370.2.n.a.269.1', 'twist_class_level': 370, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 41319861
{'conductor': 37, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 359, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008092641493362, 'source_is_minimal': True, 'source_label': '370.2.n.c.359.2', 'source_level': 370, 'target_conrey_index': 269, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752370, 'target_is_minimal': True, 'target_label': '370.2.n.a.269.1', 'target_level': 370, 'twist_class_label': '370.2.n.a.269.1', 'twist_class_level': 370, 'twisting_char_label': '37.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 41319862
{'conductor': 185, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 359, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008092641493362, 'source_is_minimal': True, 'source_label': '370.2.n.c.359.2', 'source_level': 370, 'target_conrey_index': 269, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008092641493362, 'target_is_minimal': True, 'target_label': '370.2.n.c.269.2', 'target_level': 370, 'twist_class_label': '370.2.n.a.269.1', 'twist_class_level': 370, 'twisting_char_label': '185.84', 'twisting_conrey_index': 84, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 789450
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 9008092641493362, 'p': 2}
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id: 789451
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9008092641493362, 'p': 3}
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id: 789452
{'charpoly_factorization': [[[25, -20, 11, -4, 1], 1]], 'hecke_orbit_code': 9008092641493362, 'p': 5}
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id: 789453
{'charpoly_factorization': [[[4, -12, 14, -6, 1], 1]], 'hecke_orbit_code': 9008092641493362, 'p': 7}
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id: 789454
{'charpoly_factorization': [[[6, -6, 1], 2]], 'hecke_orbit_code': 9008092641493362, 'p': 11}
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id: 789455
{'charpoly_factorization': [[[64, -96, 56, -12, 1], 1]], 'hecke_orbit_code': 9008092641493362, 'p': 13}
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id: 789456
{'charpoly_factorization': [[[3, 3, 1], 2]], 'hecke_orbit_code': 9008092641493362, 'p': 17}
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id: 789457
{'charpoly_factorization': [[[36, -36, 30, -6, 1], 1]], 'hecke_orbit_code': 9008092641493362, 'p': 19}
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id: 789458
{'charpoly_factorization': [[[64, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 9008092641493362, 'p': 23}
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id: 789459
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 9008092641493362, 'p': 29}
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id: 789460
{'charpoly_factorization': [[[-74, 2, 1], 2]], 'hecke_orbit_code': 9008092641493362, 'p': 31}
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id: 789461
{'charpoly_factorization': [[[1369, 0, 47, 0, 1], 1]], 'hecke_orbit_code': 9008092641493362, 'p': 37}
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id: 789462
{'charpoly_factorization': [[[2209, 94, 51, -2, 1], 1]], 'hecke_orbit_code': 9008092641493362, 'p': 41}
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id: 789463
{'charpoly_factorization': [[[2116, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 9008092641493362, 'p': 43}
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id: 789464
{'charpoly_factorization': [[[484, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 9008092641493362, 'p': 47}
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id: 789465
{'charpoly_factorization': [[[10816, 3744, 536, 36, 1], 1]], 'hecke_orbit_code': 9008092641493362, 'p': 53}
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id: 789466
{'charpoly_factorization': [[[576, 288, 120, 12, 1], 1]], 'hecke_orbit_code': 9008092641493362, 'p': 59}
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id: 789467
{'charpoly_factorization': [[[1089, 396, 111, 12, 1], 1]], 'hecke_orbit_code': 9008092641493362, 'p': 61}
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id: 789468
{'charpoly_factorization': [[[2116, -276, -34, 6, 1], 1]], 'hecke_orbit_code': 9008092641493362, 'p': 67}
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id: 789469
{'charpoly_factorization': [[[19044, -828, 174, 6, 1], 1]], 'hecke_orbit_code': 9008092641493362, 'p': 71}
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id: 789470
{'charpoly_factorization': [[[35344, 0, 392, 0, 1], 1]], 'hecke_orbit_code': 9008092641493362, 'p': 73}
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id: 789471
{'charpoly_factorization': [[[676, 364, 222, -14, 1], 1]], 'hecke_orbit_code': 9008092641493362, 'p': 79}
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id: 789472
{'charpoly_factorization': [[[576, 288, 24, -12, 1], 1]], 'hecke_orbit_code': 9008092641493362, 'p': 83}
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id: 789473
{'charpoly_factorization': [[[9, -18, 39, 6, 1], 1]], 'hecke_orbit_code': 9008092641493362, 'p': 89}
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id: 789474
{'charpoly_factorization': [[[529, 0, 62, 0, 1], 1]], 'hecke_orbit_code': 9008092641493362, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 14, 'hecke_orbit': 3, 'label': '370.2.n.c', 'level': 370, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 31584595
{'hecke_orbit_code': 9008092641493362, 'n': 1, 'trace_an': 4}
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id: 31584596
{'hecke_orbit_code': 9008092641493362, 'n': 2, 'trace_an': 0}
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id: 31584597
{'hecke_orbit_code': 9008092641493362, 'n': 3, 'trace_an': 0}
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id: 31584598
{'hecke_orbit_code': 9008092641493362, 'n': 4, 'trace_an': 2}
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id: 31584599
{'hecke_orbit_code': 9008092641493362, 'n': 5, 'trace_an': 4}
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id: 31584600
{'hecke_orbit_code': 9008092641493362, 'n': 6, 'trace_an': 0}
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id: 31584601
{'hecke_orbit_code': 9008092641493362, 'n': 7, 'trace_an': 6}
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id: 31584602
{'hecke_orbit_code': 9008092641493362, 'n': 8, 'trace_an': 0}
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id: 31584603
{'hecke_orbit_code': 9008092641493362, 'n': 9, 'trace_an': -6}
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id: 31584604
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