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{'Nk2': 31488, 'analytic_conductor': 62.85823647115192, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [41, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7872, 1, [3199, 1477, 5249, 5377], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 15188, 'field_disc_factorization': [[2, 2], [3797, 1]], 'field_poly': [2, 1, -7, -1, 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': 0, 'hecke_cutters': [[5, [-4, 10, -2, -4, 1]], [7, [-4, 6, 4, -6, 1]], [11, [-4, 13, -9, -3, 1]], [13, [-8, 18, -8, -2, 1]]], 'hecke_orbit': 62, 'hecke_orbit_code': 274719577303162560, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], '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': False, 'label': '7872.2.a.cj', 'level': 7872, '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, 41], 'level_radical': 246, 'minimal_twist': '3936.2.a.i', 'nf_label': '4.4.15188.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+(1+\\beta _{3})q^{5}+(1-\\beta _{2})q^{7}+q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7872.2.a', 'trace_display': [0, 4, 4, 6], 'trace_hash': 1187360217965293029, 'trace_moments': [{'__RealLiteral__': 0, 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mf_newspaces • Show schema
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{'ALdims': [19, 22, 21, 18, 21, 18, 19, 22], 'Nk2': 31488, 'analytic_conductor': 62.85823647115192, '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': [7872, 1, [3199, 1477, 5249, 5377], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1321, 'dim': 160, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 13], 'hecke_orbit_code': 33562304, '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, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7], 'label': '7872.2.a', 'level': 7872, '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, 41], 'level_radical': 246, 'mf_dim': 1368, 'mf_new_dim': 160, 'num_forms': 70, 'plus_dim': 74, 'prim_orbit_index': 1, 'relative_dim': 160, 'sturm_bound': 2688, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [160, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 160, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 160, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 32, 0, 0, 0, -96, 0, 0, 0, 32, 0, 0, 0, 48, 0, 0, 0, -64, 0, 0, 0, -16, 0, 0, 0, 128, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -64, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -96, 0, 0, 0, -64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 128, 0, 0, 0, 160, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -96, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, 64, 0, 0, 0, 64, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, -80, 0, 0, 0, -64, 0, 0, 0, 32, 0, 0, 0, 160, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, -32, 0, 0, 0, 96, 0, 0, 0, -32, 0, 0, 0, 48, 0, 0, 0, 64, 0, 0, 0, 16, 0, 0, 0, -64, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 128, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -32, 0, 0, 0, 160, 0, 0, 0, 256, 0, 0, 0, -128, 0, 0, 0, 112, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 32, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 160, 0, 0, 0, 64, 0, 0, 0, -16, 0, 0, 0, -64, 0, 0, 0, -16, 0, 0, 0, 32, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 64, 0, 0, 0, 16, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 160, 0, 0, 0, 128, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 64, 0, 0, 0, 160, 0, 0, 0, 64, 0, 0, 0, -48, 0, 0, 0, 64, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 128, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, -32, 0, 0, 0, 224, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, 320, 0, 0, 0, 128, 0, 0, 0, -32, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 16, 0, 0, 0, -160, 0, 0, 0, 160, 0, 0, 0, -64, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 64, 0, 0, 0, -48, 0, 0, 0, 192, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, 0, 160, 0, 0, 0, 144, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 32, 0, 0, 0, 224, 0, 0, 0, -96, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, -128, 0, 0, 0, 16, 0, 0, 0, -128, 0, 0, 0, 512, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 128, 0, 0, 0, -16, 0, 0, 0, 96, 0, 0, 0, 288, 0, 0, 0, -96, 0, 0, 0, -320, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, -256, 0, 0, 0, -64, 0, 0, 0, -448, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -96, 0, 0, 0, -64, 0, 0, 0, 192, 0, 0, 0, 32, 0, 0, 0, -176, 0, 0, 0, -192, 0, 0, 0, 144, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -64, 0, 0, 0, -224, 0, 0, 0, 32, 0, 0, 0, -192, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 32, 0, 0, 0, 64, 0, 0, 0, -96, 0, 0, 0, -304, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49103539
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274719577303162560, 'source_is_minimal': False, 'source_label': '7872.2.a.cj.1.2', 'source_level': 7872, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274719577303162560, 'target_is_minimal': False, 'target_label': '7872.2.a.cj.1.2', 'target_level': 7872, 'twist_class_label': '3936.2.a.i.1.3', 'twist_class_level': 3936, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49103540
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274719577303162560, 'source_is_minimal': False, 'source_label': '7872.2.a.cj.1.2', 'source_level': 7872, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 256705178793680576, 'target_is_minimal': False, 'target_label': '7872.2.a.cf.1.2', 'target_level': 7872, 'twist_class_label': '3936.2.a.i.1.3', 'twist_class_level': 3936, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49103541
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274719577303162560, 'source_is_minimal': False, 'source_label': '7872.2.a.cj.1.2', 'source_level': 7872, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043195562004320, 'target_is_minimal': True, 'target_label': '3936.2.a.m.1.3', 'target_level': 3936, 'twist_class_label': '3936.2.a.i.1.3', 'twist_class_level': 3936, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49103542
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274719577303162560, 'source_is_minimal': False, 'source_label': '7872.2.a.cj.1.2', 'source_level': 7872, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36028797052522336, 'target_is_minimal': True, 'target_label': '3936.2.a.i.1.3', 'target_level': 3936, 'twist_class_label': '3936.2.a.i.1.3', 'twist_class_level': 3936, '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: 4597250
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 274719577303162560, 'p': 2}
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id: 4597251
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 274719577303162560, 'p': 3}
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id: 4597252
{'charpoly_factorization': [[[-4, 10, -2, -4, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 5}
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id: 4597253
{'charpoly_factorization': [[[-4, 6, 4, -6, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 7}
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id: 4597254
{'charpoly_factorization': [[[-4, 13, -9, -3, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 11}
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id: 4597255
{'charpoly_factorization': [[[-8, 18, -8, -2, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 13}
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id: 4597256
{'charpoly_factorization': [[[2, 11, -15, 3, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 17}
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id: 4597257
{'charpoly_factorization': [[[128, 30, -32, 0, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 19}
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id: 4597258
{'charpoly_factorization': [[[88, 62, -38, 0, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 23}
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id: 4597259
{'charpoly_factorization': [[[124, 149, 13, -13, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 29}
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id: 4597260
{'charpoly_factorization': [[[-1552, 637, -45, -9, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 31}
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id: 4597261
{'charpoly_factorization': [[[794, 303, -63, -7, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 37}
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id: 4597262
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 274719577303162560, 'p': 41}
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id: 4597263
{'charpoly_factorization': [[[4, 15, -29, 5, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 43}
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id: 4597264
{'charpoly_factorization': [[[-302, 175, -13, -7, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 47}
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id: 4597265
{'charpoly_factorization': [[[-608, 236, 40, -16, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 53}
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id: 4597266
{'charpoly_factorization': [[[-352, 216, -12, -10, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 59}
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id: 4597267
{'charpoly_factorization': [[[-1622, 731, -71, -7, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 61}
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id: 4597268
{'charpoly_factorization': [[[512, -64, -112, 4, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 67}
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id: 4597269
{'charpoly_factorization': [[[-242, 473, -57, -13, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 71}
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id: 4597270
{'charpoly_factorization': [[[566, -167, -99, 3, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 73}
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id: 4597271
{'charpoly_factorization': [[[32, 96, -40, -6, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 79}
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id: 4597272
{'charpoly_factorization': [[[-5048, 3434, -222, -14, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 83}
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id: 4597273
{'charpoly_factorization': [[[-13648, -4016, -240, 12, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 89}
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id: 4597274
{'charpoly_factorization': [[[3412, -518, -104, 10, 1], 1]], 'hecke_orbit_code': 274719577303162560, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 62, 'label': '7872.2.a.cj', 'level': 7872, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 72137035
{'hecke_orbit_code': 274719577303162560, 'n': 1, 'trace_an': 4}
-
id: 72137036
{'hecke_orbit_code': 274719577303162560, 'n': 2, 'trace_an': 0}
-
id: 72137037
{'hecke_orbit_code': 274719577303162560, 'n': 3, 'trace_an': 4}
-
id: 72137038
{'hecke_orbit_code': 274719577303162560, 'n': 4, 'trace_an': 0}
-
id: 72137039
{'hecke_orbit_code': 274719577303162560, 'n': 5, 'trace_an': 4}
-
id: 72137040
{'hecke_orbit_code': 274719577303162560, 'n': 6, 'trace_an': 0}
-
id: 72137041
{'hecke_orbit_code': 274719577303162560, 'n': 7, 'trace_an': 6}
-
id: 72137042
{'hecke_orbit_code': 274719577303162560, 'n': 8, 'trace_an': 0}
-
id: 72137043
{'hecke_orbit_code': 274719577303162560, 'n': 9, 'trace_an': 4}
-
id: 72137044
{'hecke_orbit_code': 274719577303162560, 'n': 10, 'trace_an': 0}
-
id: 72137045
{'hecke_orbit_code': 274719577303162560, 'n': 11, 'trace_an': 3}
-
id: 72137046
{'hecke_orbit_code': 274719577303162560, 'n': 12, 'trace_an': 0}
-
id: 72137047
{'hecke_orbit_code': 274719577303162560, 'n': 13, 'trace_an': 2}
-
id: 72137048
{'hecke_orbit_code': 274719577303162560, 'n': 14, 'trace_an': 0}
-
id: 72137049
{'hecke_orbit_code': 274719577303162560, 'n': 15, 'trace_an': 4}
-
id: 72137050
{'hecke_orbit_code': 274719577303162560, 'n': 16, 'trace_an': 0}
-
id: 72137051
{'hecke_orbit_code': 274719577303162560, 'n': 17, 'trace_an': -3}
-
id: 72137052
{'hecke_orbit_code': 274719577303162560, 'n': 18, 'trace_an': 0}
-
id: 72137053
{'hecke_orbit_code': 274719577303162560, 'n': 19, 'trace_an': 0}
-
id: 72137054
{'hecke_orbit_code': 274719577303162560, 'n': 20, 'trace_an': 0}
-
id: 72137055
{'hecke_orbit_code': 274719577303162560, 'n': 21, 'trace_an': 6}
-
id: 72137056
{'hecke_orbit_code': 274719577303162560, 'n': 22, 'trace_an': 0}
-
id: 72137057
{'hecke_orbit_code': 274719577303162560, 'n': 23, 'trace_an': 0}
-
id: 72137058
{'hecke_orbit_code': 274719577303162560, 'n': 24, 'trace_an': 0}
-
id: 72137059
{'hecke_orbit_code': 274719577303162560, 'n': 25, 'trace_an': 0}
-
id: 72137060
{'hecke_orbit_code': 274719577303162560, 'n': 26, 'trace_an': 0}
-
id: 72137061
{'hecke_orbit_code': 274719577303162560, 'n': 27, 'trace_an': 4}
-
id: 72137062
{'hecke_orbit_code': 274719577303162560, 'n': 28, 'trace_an': 0}
-
id: 72137063
{'hecke_orbit_code': 274719577303162560, 'n': 29, 'trace_an': 13}
-
id: 72137064
{'hecke_orbit_code': 274719577303162560, 'n': 30, 'trace_an': 0}
-
id: 72137065
{'hecke_orbit_code': 274719577303162560, 'n': 31, 'trace_an': 9}
-
id: 72137066
{'hecke_orbit_code': 274719577303162560, 'n': 32, 'trace_an': 0}
-
id: 72137067
{'hecke_orbit_code': 274719577303162560, 'n': 33, 'trace_an': 3}
-
id: 72137068
{'hecke_orbit_code': 274719577303162560, 'n': 34, 'trace_an': 0}
-
id: 72137069
{'hecke_orbit_code': 274719577303162560, 'n': 35, 'trace_an': 10}
-
id: 72137070
{'hecke_orbit_code': 274719577303162560, 'n': 36, 'trace_an': 0}
-
id: 72137071
{'hecke_orbit_code': 274719577303162560, 'n': 37, 'trace_an': 7}
-
id: 72137072
{'hecke_orbit_code': 274719577303162560, 'n': 38, 'trace_an': 0}
-
id: 72137073
{'hecke_orbit_code': 274719577303162560, 'n': 39, 'trace_an': 2}
-
id: 72137074
{'hecke_orbit_code': 274719577303162560, 'n': 40, 'trace_an': 0}
-
id: 72137075
{'hecke_orbit_code': 274719577303162560, 'n': 41, 'trace_an': -4}
-
id: 72137076
{'hecke_orbit_code': 274719577303162560, 'n': 42, 'trace_an': 0}
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id: 72137077
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