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mf_newforms • Show schema
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{'Nk2': 2912, 'analytic_conductor': 5.813109267149212, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, 1], [13, 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': [728, 1, [183, 365, 521, 561], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 64268, 'field_disc_factorization': [[2, 2], [16067, 1]], 'field_poly': [32, 6, -12, -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': [[3, [32, 6, -12, -1, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052519128, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
Hide schema
{'ALdims': [2, 2, 2, 2, 4, 1, 1, 4], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [8, 13, 12, 12, 13, 10, 11, 8], 'Nk2': 2912, 'analytic_conductor': 5.813109267149212, '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': [728, 1, [183, 365, 521, 561], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 105, 'dim': 18, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 33555160, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 4, 4], 'label': '728.2.a', 'level': 728, '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, 7, 13], 'level_radical': 182, 'mf_dim': 120, 'mf_new_dim': 18, 'num_forms': 9, 'plus_dim': 6, 'prim_orbit_index': 1, 'relative_dim': 18, 'sturm_bound': 224, 'trace_bound': 5, 'trace_display': [0, -4, 0, 0], 'traces': [18, 0, -4, 0, 0, 0, 0, 0, 30, 0, 8, 0, 0, 0, 24, 0, 12, 0, -12, 0, -4, 0, 0, 0, 10, 0, 8, 0, 0, 0, 0, 0, 24, 0, 0, 0, -12, 0, 0, 0, 4, 0, -12, 0, 24, 0, 8, 0, 18, 0, -32, 0, 16, 0, -16, 0, 8, 0, -36, 0, -16, 0, 0, 0, -8, 0, -8, 0, 8, 0, 0, 0, 12, 0, -4, 0, 0, 0, -16, 0, 50, 0, 12, 0, 8, 0, -48, 0, -4, 0, 6, 0, 24, 0, -52, 0, 20, 0, -8, 0, -40, 0, 72, 0, 0, 0, -24, 0, -4, 0, -32, 0, -12, 0, 48, 0, 0, 0, -8, 0, 14, 0, 16, 0, 0, 0, 20, 0, -8, 0, -36, 0, 24, 0, 32, 0, -12, 0, 20, 0, -48, 0, 0, 0, -56, 0, -4, 0, -20, 0, -24, 0, -28, 0, -12, 0, -40, 0, 8, 0, -16, 0, 32, 0, -64, 0, -40, 0, 18, 0, -68, 0, -32, 0, 0, 0, -24, 0, -12, 0, -24, 0, -60, 0, 0, 0, -24, 0, -16, 0, -24, 0, 12, 0, 0, 0, -44, 0, 72, 0, 32, 0, 8, 0, -40, 0, -12, 0, 88, 0, -36, 0, -88, 0, -56, 0, -8, 0, 48, 0, -16, 0, 104, 0, 30, 0, -44, 0, 40, 0, -12, 0, 36, 0, 44, 0, -32, 0, -32, 0, 12, 0, -20, 0, 0, 0, -8, 0, 16, 0, -84, 0, -56, 0, -8, 0, -4, 0, -16, 0, -40, 0, -52, 0, 0, 0, 56, 0, 104, 0, 0, 0, -4, 0, -80, 0, 40, 0, 24, 0, 44, 0, 100, 0, -144, 0, 12, 0, 6, 0, 64, 0, -56, 0, 136, 0, 0, 0, -8, 0, -8, 0, 12, 0, -32, 0, 76, 0, 48, 0, 32, 0, 20, 0, -40, 0, -84, 0, 112, 0, -48, 0, 8, 0, 0, 0, 144, 0, 24, 0, -24, 0, -100, 0, -40, 0, -28, 0, 152, 0, -24, 0, 0, 0, 8, 0, 48, 0, -16, 0, -12, 0, 148, 0, 128, 0, -40, 0, 40, 0, 70, 0, 44, 0, -12, 0, 40, 0, 148, 0, 48, 0, 68, 0, 64, 0, 0, 0, 8, 0, -72, 0, -40, 0, -16, 0, 108, 0, 36, 0, -8, 0, 32, 0, 88, 0, 80, 0, 48, 0, 12, 0, 12, 0, -104, 0, 36, 0, 84, 0, -96, 0, 12, 0, 36, 0, -112, 0, 84, 0, 108, 0, -16, 0, 156, 0, 12, 0, 32, 0, -16, 0, 68, 0, 72, 0, -8, 0, -16, 0, 30, 0, 12, 0, 20, 0, -112, 0, -44, 0, -104, 0, -24, 0, 0, 0, 44, 0, -168, 0, 16, 0, -72, 0, -96, 0, 28, 0, -8, 0, 164, 0, 32, 0, 52, 0, -128, 0, -144, 0, 24, 0, -24, 0, -28, 0, 88, 0, 64, 0, -152, 0, 40, 0, -192, 0, -16, 0, 112, 0, -160, 0, -56, 0, -16, 0, -4, 0, -48, 0, -24, 0, 32, 0, 112, 0, 96, 0, 80, 0, -92, 0, 76, 0, 4, 0, 0, 0, -110, 0, 28, 0, 0, 0, -40, 0, -176, 0, 8, 0, -76, 0, -116, 0, -8, 0, 36, 0, -96, 0, -8, 0, -24, 0, -208, 0, 52, 0, 0, 0, -96, 0, -12, 0, 48, 0, 64, 0, 92, 0, -148, 0, 24, 0, -68, 0, -132, 0, 88, 0, -16, 0, -32, 0, -24, 0, -44, 0, 4, 0, -200, 0, -60, 0, -40, 0, 88, 0, 0, 0, -68, 0, -192, 0, 88, 0, 32, 0, -16, 0, 44, 0, 28, 0, 72, 0, -60, 0, 52, 0, 56, 0, -20, 0, -78, 0, 72, 0, 64, 0, -40, 0, 144, 0, -136, 0, 0, 0, -168, 0, 188, 0, -4, 0, 120, 0, 128, 0, -16, 0, -16, 0, 20, 0, -120, 0, -28, 0, 28, 0, 32, 0, -56, 0, 24, 0, 44, 0, 56, 0, -160, 0, 60, 0, 16, 0, 96, 0, 8, 0, -216, 0, -72, 0, -104, 0, 64, 0, 24, 0, 52, 0, 96, 0, -104, 0, 80, 0, -112, 0, -80, 0, 128, 0, -120, 0, -20, 0, -100, 0, 92, 0, 80, 0, 0, 0, 160, 0, 32, 0, -32, 0, -96, 0, -28, 0, -24, 0, 138, 0, -48, 0, 32, 0, 24, 0, 36, 0, 16, 0, -16, 0, 56, 0, -184, 0, -60, 0, -48, 0, -48, 0, -12, 0, -8, 0, 40, 0, 152, 0, 28, 0, 0, 0, 96, 0, 12, 0, -20, 0, -32, 0, 56, 0, -16, 0, 60, 0, -88, 0, -40, 0, -224, 0, 176, 0, -116, 0, 96, 0, 0, 0, -8, 0, -160, 0, 96, 0, 8, 0, -12, 0, -72, 0, 68, 0, 148, 0, 104, 0, -140, 0, 48, 0, -208, 0, 32, 0, 30, 0, 84, 0, -52, 0, -176, 0, -8, 0, -208, 0, -16, 0, 12, 0, -60, 0, 184, 0, 104, 0, -54, 0, -160, 0, 0, 0, -32, 0, -92, 0, 168, 0, 120, 0, -36, 0, -20, 0, 60, 0, 0, 0, 104, 0, -80, 0, 236, 0, 48, 0, -32, 0, -52, 0, -60, 0, 164, 0, -120, 0, 12, 0, 104, 0, -24, 0, 16, 0, 32, 0, -96, 0, -20, 0, 72, 0, -12, 0, -136, 0, -144, 0, 56, 0, -8, 0, 100, 0, 48, 0, -204, 0, 48, 0, 32, 0, -52, 0, 36, 0, -128, 0, 0, 0, 76, 0, 312, 0, 76, 0, -12, 0, -72, 0, -16, 0, 36, 0, -72, 0, -240, 0, -304, 0, -96, 0, -48, 0, -20, 0, 232, 0, 120, 0, -72, 0, 88, 0, -48, 0, -30, 0, -104, 0, -48, 0, -144, 0, 72, 0, -100, 0, -44, 0, -56, 0, 28, 0, -224, 0, -268, 0, -24, 0, -208, 0, -8, 0, -28, 0, 84, 0, 128, 0, 176, 0, 152, 0, 128, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46449054
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36028797052519128, 'source_is_minimal': True, 'source_label': '728.2.a.i.1.3', 'source_level': 728, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36028797052519128, 'target_is_minimal': True, 'target_label': '728.2.a.i.1.3', 'target_level': 728, 'twist_class_label': '728.2.a.i.1.3', 'twist_class_level': 728, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46449055
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36028797052519128, 'source_is_minimal': True, 'source_label': '728.2.a.i.1.3', 'source_level': 728, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 193654784010492312, 'target_is_minimal': False, 'target_label': '6552.2.a.br.1.3', 'target_level': 6552, 'twist_class_label': '728.2.a.i.1.3', 'twist_class_level': 728, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46449056
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36028797052519128, 'source_is_minimal': True, 'source_label': '728.2.a.i.1.3', 'source_level': 728, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575592208336304, 'target_is_minimal': False, 'target_label': '1456.2.a.v.1.2', 'target_level': 1456, 'twist_class_label': '728.2.a.i.1.3', 'twist_class_level': 728, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46449057
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36028797052519128, 'source_is_minimal': True, 'source_label': '728.2.a.i.1.3', 'source_level': 728, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81064793326228456, 'target_is_minimal': False, 'target_label': '5096.2.a.s.1.2', 'target_level': 5096, 'twist_class_label': '728.2.a.i.1.3', 'twist_class_level': 728, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 46449058
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36028797052519128, 'source_is_minimal': True, 'source_label': '728.2.a.i.1.3', 'source_level': 728, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 252201579166308032, 'target_is_minimal': False, 'target_label': '5824.2.a.ce.1.3', 'target_level': 5824, 'twist_class_label': '728.2.a.i.1.3', 'twist_class_level': 728, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46449059
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36028797052519128, 'source_is_minimal': True, 'source_label': '728.2.a.i.1.3', 'source_level': 728, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 238690780284196544, 'target_is_minimal': False, 'target_label': '5824.2.a.cb.1.2', 'target_level': 5824, 'twist_class_label': '728.2.a.i.1.3', 'twist_class_level': 728, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46449060
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36028797052519128, 'source_is_minimal': True, 'source_label': '728.2.a.i.1.3', 'source_level': 728, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 112589990717826296, 'target_is_minimal': False, 'target_label': '9464.2.a.z.1.3', 'target_level': 9464, 'twist_class_label': '728.2.a.i.1.3', 'twist_class_level': 728, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1258125
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36028797052519128, 'p': 2}
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id: 1258126
{'charpoly_factorization': [[[32, 6, -12, -1, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 3}
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id: 1258127
{'charpoly_factorization': [[[56, 18, -15, -2, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 5}
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id: 1258128
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 36028797052519128, 'p': 7}
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id: 1258129
{'charpoly_factorization': [[[488, -22, -44, 1, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 11}
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id: 1258130
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 36028797052519128, 'p': 13}
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id: 1258131
{'charpoly_factorization': [[[32, -140, 82, -16, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 17}
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id: 1258132
{'charpoly_factorization': [[[-784, -418, -23, 10, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 19}
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id: 1258133
{'charpoly_factorization': [[[-64, 55, -1, -7, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 23}
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id: 1258134
{'charpoly_factorization': [[[-568, 390, -63, -4, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 29}
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id: 1258135
{'charpoly_factorization': [[[-8, 29, -27, 1, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 31}
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id: 1258136
{'charpoly_factorization': [[[-508, 434, -86, -5, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 37}
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id: 1258137
{'charpoly_factorization': [[[-2104, 484, 62, -19, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 41}
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id: 1258138
{'charpoly_factorization': [[[-16, -16, 37, -14, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 43}
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id: 1258139
{'charpoly_factorization': [[[-4952, -1823, -107, 13, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 47}
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id: 1258140
{'charpoly_factorization': [[[-544, -278, -19, 8, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 53}
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id: 1258141
{'charpoly_factorization': [[[-9344, -1400, 116, 26, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 59}
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id: 1258142
{'charpoly_factorization': [[[104, 732, -174, 1, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 61}
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id: 1258143
{'charpoly_factorization': [[[4208, 140, -152, -5, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 67}
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id: 1258144
{'charpoly_factorization': [[[2048, -2448, -130, 18, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 71}
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id: 1258145
{'charpoly_factorization': [[[-166, 117, -9, -7, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 73}
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id: 1258146
{'charpoly_factorization': [[[-112, 281, -33, -9, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 79}
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id: 1258147
{'charpoly_factorization': [[[1088, 592, -87, -12, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 83}
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id: 1258148
{'charpoly_factorization': [[[5524, 268, -183, -4, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 89}
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id: 1258149
{'charpoly_factorization': [[[526, 651, 91, -25, 1], 1]], 'hecke_orbit_code': 36028797052519128, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '728.2.a.i', 'level': 728, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 50314879
{'hecke_orbit_code': 36028797052519128, 'n': 1, 'trace_an': 4}
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id: 50314880
{'hecke_orbit_code': 36028797052519128, 'n': 2, 'trace_an': 0}
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id: 50314881
{'hecke_orbit_code': 36028797052519128, 'n': 3, 'trace_an': 1}
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id: 50314882
{'hecke_orbit_code': 36028797052519128, 'n': 4, 'trace_an': 0}
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id: 50314883
{'hecke_orbit_code': 36028797052519128, 'n': 5, 'trace_an': 2}
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id: 50314884
{'hecke_orbit_code': 36028797052519128, 'n': 6, 'trace_an': 0}
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id: 50314885
{'hecke_orbit_code': 36028797052519128, 'n': 7, 'trace_an': -4}
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id: 50314886
{'hecke_orbit_code': 36028797052519128, 'n': 8, 'trace_an': 0}
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id: 50314887
{'hecke_orbit_code': 36028797052519128, 'n': 9, 'trace_an': 13}
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id: 50314888
{'hecke_orbit_code': 36028797052519128, 'n': 10, 'trace_an': 0}
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id: 50314889
{'hecke_orbit_code': 36028797052519128, 'n': 11, 'trace_an': -1}
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id: 50314890
{'hecke_orbit_code': 36028797052519128, 'n': 12, 'trace_an': 0}
-
id: 50314891
{'hecke_orbit_code': 36028797052519128, 'n': 13, 'trace_an': -4}
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id: 50314892
{'hecke_orbit_code': 36028797052519128, 'n': 14, 'trace_an': 0}
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id: 50314893
{'hecke_orbit_code': 36028797052519128, 'n': 15, 'trace_an': 10}
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id: 50314894
{'hecke_orbit_code': 36028797052519128, 'n': 16, 'trace_an': 0}
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id: 50314895
{'hecke_orbit_code': 36028797052519128, 'n': 17, 'trace_an': 16}
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id: 50314896
{'hecke_orbit_code': 36028797052519128, 'n': 18, 'trace_an': 0}
-
id: 50314897
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