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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': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [370, 2, [297, 261], [1, 2]], 'cm_discs': [], 'conrey_index': 149, 'dim': 10, 'field_disc': -12837029094400, 'field_disc_factorization': [[-1, 1], [2, 10], [5, 2], [7, 4], [457, 2]], 'field_poly': [8, 4, 1, -46, 154, -124, 51, -4, 2, -2, 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, [16, 0, 169, 0, 234, 0, 107, 0, 18, 0, 1]], [7, [160000, 0, 92800, 0, 18096, 0, 1592, 0, 65, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510867635143026, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 1480, 'analytic_conductor': 2.9544648747873743, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [370, 2, [297, 261], [1, 2]], 'conrey_index': 149, 'cusp_dim': 54, 'dim': 18, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 68753031538, 'hecke_orbit_dims': [2, 2, 4, 10], 'label': '370.2.b', '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': 62, 'mf_new_dim': 18, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 18, 'sturm_bound': 114, 'trace_bound': 5, 'trace_display': [0, 0, -4, 0], 'traces': [18, 0, 0, -18, -4, 0, 0, 0, -6, -4, 0, 0, 0, -4, 0, 18, 0, 0, -20, 4, 8, 0, 0, 0, 16, 0, 0, 0, -16, 20, 8, 0, 0, 0, 16, 6, 0, 0, -40, 4, -4, 0, 0, 0, 20, -12, 0, 0, -54, 8, 8, 0, 0, 0, 36, 4, 0, 0, 20, 0, 0, 0, 0, -18, 0, -8, 0, 0, -80, 0, 24, 0, 0, -10, 50, 20, 0, 0, -48, -4, -14, 0, 0, -8, 36, -4, 0, 0, -60, 50, 48, 0, 0, -36, 36, 0, 0, 0, 4, -16, 20, 0, 0, 0, 44, 4, 0, 0, 56, 26, 0, 0, 0, -24, -60, 16, 0, 0, -32, -20, 26, 0, 0, -8, -4, -36, 0, 0, -32, 0, -28, 0, 0, 0, 20, 0, 0, 0, -40, -16, -16, 0, 0, -6, 20, 24, 0, 0, 60, 20, 56, 0, 0, -40, -6, 40, 0, 0, -72, -4, -80, 0, 0, 4, 40, -24, 0, 0, -58, 4, 84, 0, 0, 68, -12, 0, 0, 0, 28, -20, -12, 0, 0, 12, 0, -32, 0, 0, 48, 20, -56, 0, 0, 24, 6, 54, 0, 0, -8, -8, 16, 0, 0, -8, 40, -68, 0, 0, -16, 16, 24, 0, 0, 72, 28, 0, 0, 0, 48, -36, -72, 0, 0, -4, -40, 24, 0, 0, -4, -8, -216, 0, 0, -56, -88, -20, 0, 0, 24, 0, 116, 0, 0, 0, 4, -64, 0, 0, 160, -8, 92, 0, 0, -36, -92, 18, 0, 0, -8, 0, 96, 0, 0, 8, -20, 16, 0, 0, 68, -10, 112, 0, 0, 16, 44, 80, 0, 0, -144, 0, -84, 0, 0, -24, -100, 64, 0, 0, -58, 16, -32, 0, 0, 136, -100, 10, 0, 0, 92, -50, 176, 0, 0, -20, -126, 0, 0, 0, 96, -4, 0, 0, 0, -68, -56, 48, 0, 0, 8, 4, -196, 0, 0, 14, -144, -124, 0, 0, 144, 82, -148, 0, 0, 12, 60, 8, 0, 0, 96, -36, 48, 0, 0, 4, 58, -4, 0, 0, -100, -20, -56, 0, 0, 24, -88, 60, 0, 0, 200, -50, 90, 0, 0, -48, 56, -64, 0, 0, 132, 0, -100, 0, 0, 148, 12, 36, 0, 0, 132, -36, -152, 0, 0, 0, -120, -76, 0, 0, 48, 12, 88, 0, 0, -12, 40, -4, 0, 0, 256, 16, -92, 0, 0, -20, -4, -172, 0, 0, -44, -4, -80, 0, 0, 20, 8, 0, 0, 0, -148, -44, 8, 0, 0, -4, 136, -64, 0, 0, 304, -24, -112, 0, 0, 60, 46, -56, 0, 0, -152, -26, 90, 0, 0, 0, 12, 20, 0, 0, -116, -104, 4, 0, 0, 84, 56, 24, 0, 0, 56, 60, -96, 0, 0, -16, -30, -32, 0, 0, 40, -40, -80, 0, 0, 52, 24, 32, 0, 0, 272, 20, 8, 0, 0, -26, -144, -40, 0, 0, 24, -36, -132, 0, 0, 64, -108, 8, 0, 0, -84, 4, -80, 0, 0, 36, 12, -8, 0, 0, -116, 20, 88, 0, 0, 60, -46, 32, 0, 0, 40, 0, 8, 0, 0, 28, -36, 180, 0, 0, -78, 96, -92, 0, 0, 24, 16, 0, 0, 0, -124, -20, 144, 0, 0, 0, -12, -88, 0, 0, -96, -24, 48, 0, 0, 104, 20, 40, 0, 0, 96, 16, -32, 0, 0, 16, -72, 88, 0, 0, 84, 76, 128, 0, 0, -16, 196, 6, 0, 0, 80, -20, -168, 0, 0, -24, 30, 76, 0, 0, -96, -144, 80, 0, 0, -96, -124, -60, 0, 0, 168, -20, -36, 0, 0, -56, -84, -224, 0, 0, -176, 72, -16, 0, 0, 40, 44, 40, 0, 0, 120, 6, 64, 0, 0, -40, -216, -44, 0, 0, -36, -20, 96, 0, 0, -52, 56, 72, 0, 0, -16, 4, -4, 0, 0, 80, 112, 104, 0, 0, -136, 166, 80, 0, 0, 8, -212, -4, 0, 0, -116, -40, 152, 0, 0, 24, 0, 30, 0, 0, -152, -102, 128, 0, 0, -176, -66, 58, 0, 0, 208, -4, 96, 0, 0, -84, -24, 176, 0, 0, -136, 112, 108, 0, 0, -48, -232, -68, 0, 0, 28, 12, -184, 0, 0, 0, 128, -48, 0, 0, 16, -44, 16, 0, 0, -264, 98, -28, 0, 0, -328, 20, 144, 0, 0, 12, 8, -64, 0, 0, 330, -134, -44, 0, 0, 4, 240, -12, 0, 0, 104, 0, -24, 0, 0, 32, 0, 100, 0, 0, 440, -66, 64, 0, 0, 72, 60, -48, 0, 0, -296, -20, 100, 0, 0, 56, 72, -80, 0, 0, 20, 224, -104, 0, 0, 108, -112, -24, 0, 0, -304, -6, -80, 0, 0, -54, 148, 40, 0, 0, -224, -72, 64, 0, 0, -188, 332, 8, 0, 0, 216, 8, 260, 0, 0, -16, 56, -280, 0, 0, -220, 62, 76, 0, 0, -12, 112, 8, 0, 0, -408, -40, -228, 0, 0, 68, 214, 128, 0, 0, -88, 156, -176, 0, 0, -248, -10, 16, 0, 0, 56, -16, -226, 0, 0, -24, 100, 156, 0, 0, 400, 36, 4, 0, 0, -20, -108, -72, 0, 0, -100, -28, -112, 0, 0, 0, -16, -112, 0, 0, -272, -28, 144, 0, 0, -40, -20, -48, 0, 0, -48, 36, 252, 0, 0, 72, 60, 192, 0, 0, -128, 112, -84, 0, 0, -96, -52, 4, 0, 0, -196, 40, 120, 0, 0, -24, 196, 136, 0, 0, -148, -140, 32, 0, 0, 48, 6, 4, 0, 0, -176, 8, -308, 0, 0, 216, 40, 68, 0, 0, 236, 216, -156, 0, 0, 172, 180, 56, 0, 0, -128, 88, 180, 0, 0, 20, 244, -28, 0, 0, -96, -24, -88, 0, 0, 220, -122, -24, 0, 0, -288, 0, 290, 0, 0, -116, -60, 40, 0, 0, -128, -56, -88, 0, 0, -72, -24, 0, 0, 0, -176, -4, -40, 0, 0, 64, -92, 32, 0, 0, 152, 26, -16, 0, 0, -128, -140, -160, 0, 0, 0, 8], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43006914
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 10, 'source_embedding_index': 6, 'source_hecke_orbit_code': 13510867635143026, 'source_is_minimal': True, 'source_label': '370.2.b.d.149.6', 'source_level': 370, 'target_conrey_index': 149, 'target_dim': 10, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13510867635143026, 'target_is_minimal': True, 'target_label': '370.2.b.d.149.6', 'target_level': 370, 'twist_class_label': '370.2.b.d.149.5', 'twist_class_level': 370, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43006915
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 10, 'source_embedding_index': 6, 'source_hecke_orbit_code': 13510867635143026, 'source_is_minimal': True, 'source_label': '370.2.b.d.149.6', 'source_level': 370, 'target_conrey_index': 1999, 'target_dim': 10, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67554200602545410, 'target_is_minimal': False, 'target_label': '3330.2.d.p.1999.3', 'target_level': 3330, 'twist_class_label': '370.2.b.d.149.5', 'twist_class_level': 370, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43006916
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 10, 'source_embedding_index': 6, 'source_hecke_orbit_code': 13510867635143026, 'source_is_minimal': True, 'source_label': '370.2.b.d.149.6', 'source_level': 370, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 130604389227300666, 'target_is_minimal': False, 'target_label': '1850.2.a.bd.1.1', 'target_level': 1850, 'twist_class_label': '370.2.b.d.149.5', 'twist_class_level': 370, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43006917
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 10, 'source_embedding_index': 6, 'source_hecke_orbit_code': 13510867635143026, 'source_is_minimal': True, 'source_label': '370.2.b.d.149.6', 'source_level': 370, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 135107988854671162, 'target_is_minimal': False, 'target_label': '1850.2.a.be.1.5', 'target_level': 1850, 'twist_class_label': '370.2.b.d.149.5', 'twist_class_level': 370, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43006918
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 10, 'source_embedding_index': 6, 'source_hecke_orbit_code': 13510867635143026, 'source_is_minimal': True, 'source_label': '370.2.b.d.149.6', 'source_level': 370, 'target_conrey_index': 149, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13510867635143026, 'target_is_minimal': True, 'target_label': '370.2.b.d.149.5', 'target_level': 370, 'twist_class_label': '370.2.b.d.149.5', 'twist_class_level': 370, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43006919
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 10, 'source_embedding_index': 6, 'source_hecke_orbit_code': 13510867635143026, 'source_is_minimal': True, 'source_label': '370.2.b.d.149.6', 'source_level': 370, 'target_conrey_index': 1999, 'target_dim': 10, 'target_embedding_index': 8, 'target_hecke_orbit_code': 67554200602545410, 'target_is_minimal': False, 'target_label': '3330.2.d.p.1999.8', 'target_level': 3330, 'twist_class_label': '370.2.b.d.149.5', 'twist_class_level': 370, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 788675
{'charpoly_factorization': [[[1, 0, 1], 5]], 'hecke_orbit_code': 13510867635143026, 'p': 2}
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id: 788676
{'charpoly_factorization': [[[16, 0, 169, 0, 234, 0, 107, 0, 18, 0, 1], 1]], 'hecke_orbit_code': 13510867635143026, 'p': 3}
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id: 788677
{'charpoly_factorization': [[[3125, -3750, 2000, -850, 600, -350, 120, -34, 16, -6, 1], 1]], 'hecke_orbit_code': 13510867635143026, 'p': 5}
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id: 788678
{'charpoly_factorization': [[[160000, 0, 92800, 0, 18096, 0, 1592, 0, 65, 0, 1], 1]], 'hecke_orbit_code': 13510867635143026, 'p': 7}
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id: 788679
{'charpoly_factorization': [[[-1, 19, 71, -23, -3, 1], 2]], 'hecke_orbit_code': 13510867635143026, 'p': 11}
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id: 788680
{'charpoly_factorization': [[[64, 0, 3425, 0, 22014, 0, 2627, 0, 94, 0, 1], 1]], 'hecke_orbit_code': 13510867635143026, 'p': 13}
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id: 788681
{'charpoly_factorization': [[[135424, 0, 172800, 0, 35424, 0, 2752, 0, 89, 0, 1], 1]], 'hecke_orbit_code': 13510867635143026, 'p': 17}
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id: 788682
{'charpoly_factorization': [[[640, 80, -176, -40, 4, 1], 2]], 'hecke_orbit_code': 13510867635143026, 'p': 19}
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id: 788683
{'charpoly_factorization': [[[82944, 0, 71793, 0, 20518, 0, 2299, 0, 86, 0, 1], 1]], 'hecke_orbit_code': 13510867635143026, 'p': 23}
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id: 788684
{'charpoly_factorization': [[[335, 5, -251, -9, 11, 1], 2]], 'hecke_orbit_code': 13510867635143026, 'p': 29}
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id: 788685
{'charpoly_factorization': [[[-10511, -3199, 655, 107, -23, 1], 2]], 'hecke_orbit_code': 13510867635143026, 'p': 31}
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id: 788686
{'charpoly_factorization': [[[1, 0, 1], 5]], 'hecke_orbit_code': 13510867635143026, 'p': 37}
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id: 788687
{'charpoly_factorization': [[[5821, -1377, -1151, -119, 7, 1], 2]], 'hecke_orbit_code': 13510867635143026, 'p': 41}
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id: 788688
{'charpoly_factorization': [[[9339136, 0, 2985856, 0, 280112, 0, 11016, 0, 185, 0, 1], 1]], 'hecke_orbit_code': 13510867635143026, 'p': 43}
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id: 788689
{'charpoly_factorization': [[[64000000, 0, 10400000, 0, 636800, 0, 18096, 0, 232, 0, 1], 1]], 'hecke_orbit_code': 13510867635143026, 'p': 47}
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id: 788690
{'charpoly_factorization': [[[1076889856, 0, 101468416, 0, 3458784, 0, 53216, 0, 377, 0, 1], 1]], 'hecke_orbit_code': 13510867635143026, 'p': 53}
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id: 788691
{'charpoly_factorization': [[[3136, -2352, -672, 52, 20, 1], 2]], 'hecke_orbit_code': 13510867635143026, 'p': 59}
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id: 788692
{'charpoly_factorization': [[[-2323, -2939, -993, -81, 9, 1], 2]], 'hecke_orbit_code': 13510867635143026, 'p': 61}
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id: 788693
{'charpoly_factorization': [[[153664, 0, 220745, 0, 76322, 0, 7971, 0, 202, 0, 1], 1]], 'hecke_orbit_code': 13510867635143026, 'p': 67}
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id: 788694
{'charpoly_factorization': [[[-13792, 3792, 912, -184, -6, 1], 2]], 'hecke_orbit_code': 13510867635143026, 'p': 71}
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id: 788695
{'charpoly_factorization': [[[216855076, 0, 84519713, 0, 3812318, 0, 63147, 0, 430, 0, 1], 1]], 'hecke_orbit_code': 13510867635143026, 'p': 73}
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id: 788696
{'charpoly_factorization': [[[8168, -4891, -1620, -13, 20, 1], 2]], 'hecke_orbit_code': 13510867635143026, 'p': 79}
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id: 788697
{'charpoly_factorization': [[[7573504, 0, 11272448, 0, 1969408, 0, 47200, 0, 384, 0, 1], 1]], 'hecke_orbit_code': 13510867635143026, 'p': 83}
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id: 788698
{'charpoly_factorization': [[[55552, 4032, -1792, -144, 12, 1], 2]], 'hecke_orbit_code': 13510867635143026, 'p': 89}
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id: 788699
{'charpoly_factorization': [[[1016064, 0, 17724672, 0, 2503648, 0, 71968, 0, 497, 0, 1], 1]], 'hecke_orbit_code': 13510867635143026, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 4, 'label': '370.2.b.d', '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: 35800315
{'hecke_orbit_code': 13510867635143026, 'n': 1, 'trace_an': 10}
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id: 35800316
{'hecke_orbit_code': 13510867635143026, 'n': 2, 'trace_an': 0}
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id: 35800317
{'hecke_orbit_code': 13510867635143026, 'n': 3, 'trace_an': 0}
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id: 35800318
{'hecke_orbit_code': 13510867635143026, 'n': 4, 'trace_an': -10}
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id: 35800319
{'hecke_orbit_code': 13510867635143026, 'n': 5, 'trace_an': 6}
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id: 35800320
{'hecke_orbit_code': 13510867635143026, 'n': 6, 'trace_an': 0}
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id: 35800321
{'hecke_orbit_code': 13510867635143026, 'n': 7, 'trace_an': 0}
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id: 35800322
{'hecke_orbit_code': 13510867635143026, 'n': 8, 'trace_an': 0}
-
id: 35800323
{'hecke_orbit_code': 13510867635143026, 'n': 9, 'trace_an': -6}
-
id: 35800324
{'hecke_orbit_code': 13510867635143026, 'n': 10, 'trace_an': 2}
-
id: 35800325
{'hecke_orbit_code': 13510867635143026, 'n': 11, 'trace_an': 6}
-
id: 35800326
{'hecke_orbit_code': 13510867635143026, 'n': 12, 'trace_an': 0}
-
id: 35800327
{'hecke_orbit_code': 13510867635143026, 'n': 13, 'trace_an': 0}
-
id: 35800328
{'hecke_orbit_code': 13510867635143026, 'n': 14, 'trace_an': 2}
-
id: 35800329
{'hecke_orbit_code': 13510867635143026, 'n': 15, 'trace_an': 0}
-
id: 35800330
{'hecke_orbit_code': 13510867635143026, 'n': 16, 'trace_an': 10}
-
id: 35800331
{'hecke_orbit_code': 13510867635143026, 'n': 17, 'trace_an': 0}
-
id: 35800332
{'hecke_orbit_code': 13510867635143026, 'n': 18, 'trace_an': 0}
-
id: 35800333
{'hecke_orbit_code': 13510867635143026, 'n': 19, 'trace_an': -8}
-
id: 35800334
{'hecke_orbit_code': 13510867635143026, 'n': 20, 'trace_an': -6}
-
id: 35800335
{'hecke_orbit_code': 13510867635143026, 'n': 21, 'trace_an': 32}
-
id: 35800336
{'hecke_orbit_code': 13510867635143026, 'n': 22, 'trace_an': 0}
-
id: 35800337
{'hecke_orbit_code': 13510867635143026, 'n': 23, 'trace_an': 0}
-
id: 35800338
{'hecke_orbit_code': 13510867635143026, 'n': 24, 'trace_an': 0}
-
id: 35800339
{'hecke_orbit_code': 13510867635143026, 'n': 25, 'trace_an': 4}
-
id: 35800340
{'hecke_orbit_code': 13510867635143026, 'n': 26, 'trace_an': -12}
-
id: 35800341
{'hecke_orbit_code': 13510867635143026, 'n': 27, 'trace_an': 0}
-
id: 35800342
{'hecke_orbit_code': 13510867635143026, 'n': 28, 'trace_an': 0}
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id: 35800343
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