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mf_newforms • Show schema
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{'Nk2': 31752, 'analytic_conductor': 63.38524912449237, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [7, -1]], 'atkin_lehner_string': '++-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7938, 1, [6077, 3727], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 28, 'field_disc_factorization': [[2, 2], [7, 1]], 'field_poly': [-7, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [-7, 0, 1]], [11, [-2, 1]], [13, [-7, 0, 1]], [17, [-63, 0, 1]], [23, [-6, 1]]], 'hecke_orbit': 38, 'hecke_orbit_code': 166633186246270722, 'hecke_ring_generator_nbound': 5, '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, 7, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '7938.2.a.bl', 'level': 7938, '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, 7], 'level_radical': 42, 'minimal_twist': '7938.2.a.bl', 'nf_label': '2.2.28.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+\\beta q^{5}-q^{8}-\\beta q^{10}+2q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7938.2.a', 'trace_display': [-2, 0, 0, 0], 'trace_hash': 1605848417688118547, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': -2.6457513110645907, 'hecke_orbit': 38, 'hecke_orbit_code': 166633186246270722, 'label': '7938.2.a.bl.1.1', 'level': 7938, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [20, 21, 20, 21, 24, 18, 16, 24], 'Nk2': 31752, 'analytic_conductor': 63.38524912449237, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7938, 1, [6077, 3727], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1417, 'dim': 164, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17, 23], 'hecke_orbit_code': 33562370, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '7938.2.a', 'level': 7938, '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, 7], 'level_radical': 42, 'mf_dim': 1608, 'mf_new_dim': 164, 'num_forms': 74, 'plus_dim': 75, 'prim_orbit_index': 1, 'relative_dim': 164, 'sturm_bound': 3024, 'trace_bound': 23, 'trace_display': [0, 0, 0, 0], 'traces': [164, 0, 0, 164, 0, 0, 0, 0, 0, 6, 0, 0, 10, 0, 0, 164, 0, 0, -2, 0, 0, -6, 0, 0, 158, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -2, 0, 0, 6, 0, 0, -26, 0, 0, 12, 0, 0, 0, 0, 0, 10, 0, 0, -24, 0, 0, 18, 0, 0, -2, 0, 0, 164, 0, 0, -38, 0, 0, 0, 0, 0, -44, 0, 0, -2, 0, 0, 40, 0, 0, 6, 0, 0, 18, 0, 0, -6, 0, 0, 0, 0, 0, -12, 0, 0, 22, 0, 0, 158, 0, 0, 4, 0, 0, -12, 0, 0, 70, 0, 0, 0, 0, 0, -96, 0, 0, -18, 0, 0, 134, 0, 0, -8, 0, 0, 28, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, 42, 0, 0, -2, 0, 0, 52, 0, 0, 0, 0, 0, 22, 0, 0, 6, 0, 0, 88, 0, 0, 24, 0, 0, 270, 0, 0, -26, 0, 0, 0, 0, 0, 66, 0, 0, 40, 0, 0, 12, 0, 0, 42, 0, 0, 24, 0, 0, 64, 0, 0, 0, 0, 0, 52, 0, 0, 60, 0, 0, 12, 0, 0, 10, 0, 0, 16, 0, 0, 54, 0, 0, 0, 0, 0, -24, 0, 0, 172, 0, 0, 90, 0, 0, 178, 0, 0, 18, 0, 0, 48, 0, 0, 0, 0, 0, 64, 0, 0, -2, 0, 0, -76, 0, 0, 90, 0, 0, 84, 0, 0, 164, 0, 0, 0, 0, 0, 24, 0, 0, 36, 0, 0, -38, 0, 0, -176, 0, 0, 24, 0, 0, -56, 0, 0, 0, 0, 0, 16, 0, 0, -108, 0, 0, 200, 0, 0, -44, 0, 0, 72, 0, 0, 90, 0, 0, 0, 0, 0, -2, 0, 0, 10, 0, 0, -48, 0, 0, -32, 0, 0, 40, 0, 0, -12, 0, 0, 0, 0, 0, 4, 0, 0, 6, 0, 0, -224, 0, 0, 48, 0, 0, -62, 0, 0, 18, 0, 0, 0, 0, 0, 66, 0, 0, -68, 0, 0, -6, 0, 0, -96, 0, 0, 120, 0, 0, -90, 0, 0, 0, 0, 0, 64, 0, 0, -6, 0, 0, -80, 0, 0, -12, 0, 0, 94, 0, 0, 36, 0, 0, 0, 0, 0, 22, 0, 0, -84, 0, 0, 126, 0, 0, 22, 0, 0, 158, 0, 0, -184, 0, 0, 0, 0, 0, -104, 0, 0, 4, 0, 0, -96, 0, 0, 150, 0, 0, -290, 0, 0, -12, 0, 0, 0, 0, 0, -24, 0, 0, 16, 0, 0, 70, 0, 0, 88, 0, 0, 294, 0, 0, 90, 0, 0, 0, 0, 0, 18, 0, 0, -54, 0, 0, 184, 0, 0, -96, 0, 0, -32, 0, 0, 156, 0, 0, 0, 0, 0, -18, 0, 0, -86, 0, 0, 36, 0, 0, 2, 0, 0, 134, 0, 0, -44, 0, 0, 0, 0, 0, -114, 0, 0, -8, 0, 0, -50, 0, 0, -126, 0, 0, 180, 0, 0, 28, 0, 0, 0, 0, 0, 36, 0, 0, -36, 0, 0, 42, 0, 0, 16, 0, 0, -84, 0, 0, 428, 0, 0, 0, 0, 0, 0, 0, 0, 102, 0, 0, 118, 0, 0, 0, 0, 0, 22, 0, 0, -186, 0, 0, 0, 0, 0, 34, 0, 0, -100, 0, 0, 210, 0, 0, 114, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, -116, 0, 0, 42, 0, 0, -24, 0, 0, -30, 0, 0, -184, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 52, 0, 0, 208, 0, 0, 282, 0, 0, -188, 0, 0, 0, 0, 0, -194, 0, 0, 108, 0, 0, 8, 0, 0, 22, 0, 0, -8, 0, 0, -54, 0, 0, 0, 0, 0, 6, 0, 0, 22, 0, 0, -66, 0, 0, -186, 0, 0, 88, 0, 0, -312, 0, 0, 0, 0, 0, -290, 0, 0, 24, 0, 0, -144, 0, 0, -48, 0, 0, -134, 0, 0, 270, 0, 0, 0, 0, 0, -144, 0, 0, 258, 0, 0, -26, 0, 0, -224, 0, 0, -6, 0, 0, 318, 0, 0, 0, 0, 0, -40, 0, 0, -198, 0, 0, -266, 0, 0, 66, 0, 0, -72, 0, 0, 36, 0, 0, 0, 0, 0, 40, 0, 0, -212, 0, 0, 234, 0, 0, -152, 0, 0, 12, 0, 0, -266, 0, 0, 0, 0, 0, 90, 0, 0, 42, 0, 0, -200, 0, 0, 42, 0, 0, -80, 0, 0, 24, 0, 0, 0, 0, 0, -168, 0, 0, 106, 0, 0, 64, 0, 0, 112, 0, 0, 48, 0, 0, -72, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -166, 0, 0, 52, 0, 0, -372, 0, 0, 192, 0, 0, 0, 0, 0, 60, 0, 0, -350, 0, 0, 168, 0, 0, 362, 0, 0, 12, 0, 0, -272, 0, 0, 0, 0, 0, 136, 0, 0, 10, 0, 0, 96, 0, 0, -192, 0, 0, 86, 0, 0, 16, 0, 0, 0, 0, 0, 102, 0, 0, 64, 0, 0, 54, 0, 0, -50, 0, 0, -84, 0, 0, 42, 0, 0, 0, 0, 0, -4, 0, 0, -228, 0, 0, 166, 0, 0, -24, 0, 0, -206, 0, 0, -306, 0, 0, 0, 0, 0, 172, 0, 0, 216, 0, 0, -90, 0, 0, 252, 0, 0, 90, 0, 0, 82, 0, 0, 0, 0, 0, 24, 0, 0, 178, 0, 0, 52, 0, 0, 0, 0, 0, 592, 0, 0, 18, 0, 0, 0, 0, 0, -54, 0, 0, 34, 0, 0, 48, 0, 0, 108, 0, 0, -330, 0, 0, 158, 0, 0, 0, 0, 0, 144, 0, 0, 156, 0, 0, 180, 0, 0, 64, 0, 0, -68, 0, 0, 276, 0, 0, 0, 0, 0, -2, 0, 0, 108, 0, 0, -78, 0, 0, 354, 0, 0, -76, 0, 0, 112, 0, 0, 0, 0, 0, 46, 0, 0, 90], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48894807
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 166633186246270722, 'source_is_minimal': True, 'source_label': '7938.2.a.bl.1.1', 'source_level': 7938, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 166633186246270722, 'target_is_minimal': True, 'target_label': '7938.2.a.bl.1.1', 'target_level': 7938, 'twist_class_label': '7938.2.a.bl.1.1', 'twist_class_level': 7938, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48894808
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 166633186246270722, 'source_is_minimal': True, 'source_label': '7938.2.a.bl.1.1', 'source_level': 7938, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 180143985128382210, 'target_is_minimal': True, 'target_label': '7938.2.a.bo.1.2', 'target_level': 7938, 'twist_class_label': '7938.2.a.bl.1.1', 'twist_class_level': 7938, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48894809
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 166633186246270722, 'source_is_minimal': True, 'source_label': '7938.2.a.bl.1.1', 'source_level': 7938, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 166633186246270722, 'target_is_minimal': True, 'target_label': '7938.2.a.bl.1.2', 'target_level': 7938, 'twist_class_label': '7938.2.a.bl.1.1', 'twist_class_level': 7938, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48894810
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 166633186246270722, 'source_is_minimal': True, 'source_label': '7938.2.a.bl.1.1', 'source_level': 7938, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 180143985128382210, 'target_is_minimal': True, 'target_label': '7938.2.a.bo.1.1', 'target_level': 7938, 'twist_class_label': '7938.2.a.bl.1.1', 'twist_class_level': 7938, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4590325
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 166633186246270722, 'p': 2}
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id: 4590326
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 166633186246270722, 'p': 3}
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id: 4590327
{'charpoly_factorization': [[[-7, 0, 1], 1]], 'hecke_orbit_code': 166633186246270722, 'p': 5}
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id: 4590328
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 166633186246270722, 'p': 7}
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id: 4590329
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 166633186246270722, 'p': 11}
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id: 4590330
{'charpoly_factorization': [[[-7, 0, 1], 1]], 'hecke_orbit_code': 166633186246270722, 'p': 13}
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id: 4590331
{'charpoly_factorization': [[[-63, 0, 1], 1]], 'hecke_orbit_code': 166633186246270722, 'p': 17}
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id: 4590332
{'charpoly_factorization': [[[-28, 0, 1], 1]], 'hecke_orbit_code': 166633186246270722, 'p': 19}
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id: 4590333
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 166633186246270722, 'p': 23}
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id: 4590334
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 166633186246270722, 'p': 29}
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id: 4590335
{'charpoly_factorization': [[[-28, 0, 1], 1]], 'hecke_orbit_code': 166633186246270722, 'p': 31}
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id: 4590336
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 166633186246270722, 'p': 37}
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id: 4590337
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 166633186246270722, 'p': 41}
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id: 4590338
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 166633186246270722, 'p': 43}
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id: 4590339
{'charpoly_factorization': [[[-28, 0, 1], 1]], 'hecke_orbit_code': 166633186246270722, 'p': 47}
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id: 4590340
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 166633186246270722, 'p': 53}
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id: 4590341
{'charpoly_factorization': [[[-28, 0, 1], 1]], 'hecke_orbit_code': 166633186246270722, 'p': 59}
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id: 4590342
{'charpoly_factorization': [[[-7, 0, 1], 1]], 'hecke_orbit_code': 166633186246270722, 'p': 61}
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id: 4590343
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 166633186246270722, 'p': 67}
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id: 4590344
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 166633186246270722, 'p': 71}
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id: 4590345
{'charpoly_factorization': [[[-175, 0, 1], 1]], 'hecke_orbit_code': 166633186246270722, 'p': 73}
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id: 4590346
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 166633186246270722, 'p': 79}
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id: 4590347
{'charpoly_factorization': [[[-252, 0, 1], 1]], 'hecke_orbit_code': 166633186246270722, 'p': 83}
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id: 4590348
{'charpoly_factorization': [[[-175, 0, 1], 1]], 'hecke_orbit_code': 166633186246270722, 'p': 89}
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id: 4590349
{'charpoly_factorization': [[[-112, 0, 1], 1]], 'hecke_orbit_code': 166633186246270722, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 38, 'label': '7938.2.a.bl', 'level': 7938, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 70170043
{'hecke_orbit_code': 166633186246270722, 'n': 1, 'trace_an': 2}
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id: 70170044
{'hecke_orbit_code': 166633186246270722, 'n': 2, 'trace_an': -2}
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id: 70170045
{'hecke_orbit_code': 166633186246270722, 'n': 3, 'trace_an': 0}
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id: 70170046
{'hecke_orbit_code': 166633186246270722, 'n': 4, 'trace_an': 2}
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id: 70170047
{'hecke_orbit_code': 166633186246270722, 'n': 5, 'trace_an': 0}
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id: 70170048
{'hecke_orbit_code': 166633186246270722, 'n': 6, 'trace_an': 0}
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id: 70170049
{'hecke_orbit_code': 166633186246270722, 'n': 7, 'trace_an': 0}
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id: 70170050
{'hecke_orbit_code': 166633186246270722, 'n': 8, 'trace_an': -2}
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id: 70170051
{'hecke_orbit_code': 166633186246270722, 'n': 9, 'trace_an': 0}
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id: 70170052
{'hecke_orbit_code': 166633186246270722, 'n': 10, 'trace_an': 0}
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id: 70170053
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id: 70170300
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