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{'Nk2': 20736, 'analytic_conductor': 41.39444840783175, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -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': [5184, 1, [2431, 325, 1217], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 24, 'field_disc_factorization': [[2, 3], [3, 1]], 'field_poly': [-6, 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': 0, 'hecke_cutters': [[5, [1, 1]], [7, [-5, 2, 1]], [11, [-5, -2, 1]]], 'hecke_orbit': 36, 'hecke_orbit_code': 157625986991526976, 'hecke_ring_generator_nbound': 7, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '5184.2.a.bj', 'level': 5184, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '288.2.i.c', 'nf_label': '2.2.24.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}+(-1-\\beta )q^{7}+(1-\\beta )q^{11}+(-1+\\cdots)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5184.2.a', 'trace_display': [0, 0, -2, -2], 'trace_hash': 1076027281337071978, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.028', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.985', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.074', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.701', 'prec': 17}, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1]], 21, 11], [[[2, 1], [3, -1]], 25, 13], [[[2, -1], [3, 1]], 25, 16], [[[2, 1], [3, 1]], 21, 18]], 'ALdims': [21, 25, 25, 21], 'Nk2': 20736, 'analytic_conductor': 41.39444840783175, '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': [5184, 1, [2431, 325, 1217], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 793, 'dim': 92, 'eis_dim': 143, 'eis_new_dim': 8, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 33559616, '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, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], 'label': '5184.2.a', 'level': 5184, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 936, 'mf_new_dim': 100, 'num_forms': 58, 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mf_twists_nf • Show schema
Hide schema
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id: 1245864
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '5184.2.a.bj', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '288.2.i.c', 'target_level': 288, 'twist_class_label': '288.2.i.c', 'twist_class_level': 288, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1245865
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '5184.2.a.bj', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '288.2.i.e', 'target_level': 288, 'twist_class_label': '288.2.i.c', 'twist_class_level': 288, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1245866
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '5184.2.a.bj', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '576.2.i.i', 'target_level': 576, 'twist_class_label': '288.2.i.c', 'twist_class_level': 288, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1245867
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '5184.2.a.bj', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '576.2.i.m', 'target_level': 576, 'twist_class_label': '288.2.i.c', 'twist_class_level': 288, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1245868
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '5184.2.a.bj', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '864.2.i.c', 'target_level': 864, 'twist_class_label': '288.2.i.c', 'twist_class_level': 288, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1245869
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '5184.2.a.bj', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '864.2.i.e', 'target_level': 864, 'twist_class_label': '288.2.i.c', 'twist_class_level': 288, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1245870
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '5184.2.a.bj', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1728.2.i.k', 'target_level': 1728, 'twist_class_label': '288.2.i.c', 'twist_class_level': 288, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1245871
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '5184.2.a.bj', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1728.2.i.m', 'target_level': 1728, 'twist_class_label': '288.2.i.c', 'twist_class_level': 288, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1245872
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '5184.2.a.bj', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2592.2.a.j', 'target_level': 2592, 'twist_class_label': '288.2.i.c', 'twist_class_level': 288, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1245873
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '5184.2.a.bj', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2592.2.a.n', 'target_level': 2592, 'twist_class_label': '288.2.i.c', 'twist_class_level': 288, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1245874
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '5184.2.a.bj', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2592.2.a.o', 'target_level': 2592, 'twist_class_label': '288.2.i.c', 'twist_class_level': 288, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1245875
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '5184.2.a.bj', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '2592.2.a.s', 'target_level': 2592, 'twist_class_label': '288.2.i.c', 'twist_class_level': 288, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1245876
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '5184.2.a.bj', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '5184.2.a.bj', 'target_level': 5184, 'twist_class_label': '288.2.i.c', 'twist_class_level': 288, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1245877
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '5184.2.a.bj', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '5184.2.a.bn', 'target_level': 5184, 'twist_class_label': '288.2.i.c', 'twist_class_level': 288, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1245878
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '5184.2.a.bj', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '5184.2.a.bu', 'target_level': 5184, 'twist_class_label': '288.2.i.c', 'twist_class_level': 288, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1245879
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '5184.2.a.bj', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 51, 'target_is_minimal': False, 'target_label': '5184.2.a.by', 'target_level': 5184, 'twist_class_label': '288.2.i.c', 'twist_class_level': 288, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3822325
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 157625986991526976, 'p': 2}
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id: 3822326
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 157625986991526976, 'p': 3}
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id: 3822327
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 157625986991526976, 'p': 5}
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id: 3822328
{'charpoly_factorization': [[[-5, 2, 1], 1]], 'hecke_orbit_code': 157625986991526976, 'p': 7}
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id: 3822329
{'charpoly_factorization': [[[-5, -2, 1], 1]], 'hecke_orbit_code': 157625986991526976, 'p': 11}
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id: 3822330
{'charpoly_factorization': [[[-23, 2, 1], 1]], 'hecke_orbit_code': 157625986991526976, 'p': 13}
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id: 3822331
{'charpoly_factorization': [[[-24, 0, 1], 1]], 'hecke_orbit_code': 157625986991526976, 'p': 17}
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id: 3822332
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 157625986991526976, 'p': 19}
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id: 3822333
{'charpoly_factorization': [[[3, 6, 1], 1]], 'hecke_orbit_code': 157625986991526976, 'p': 23}
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id: 3822334
{'charpoly_factorization': [[[1, -10, 1], 1]], 'hecke_orbit_code': 157625986991526976, 'p': 29}
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id: 3822335
{'charpoly_factorization': [[[19, 10, 1], 1]], 'hecke_orbit_code': 157625986991526976, 'p': 31}
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id: 3822336
{'charpoly_factorization': [[[-8, 8, 1], 1]], 'hecke_orbit_code': 157625986991526976, 'p': 37}
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id: 3822337
{'charpoly_factorization': [[[25, -14, 1], 1]], 'hecke_orbit_code': 157625986991526976, 'p': 41}
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id: 3822338
{'charpoly_factorization': [[[-29, -10, 1], 1]], 'hecke_orbit_code': 157625986991526976, 'p': 43}
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id: 3822339
{'charpoly_factorization': [[[-53, -2, 1], 1]], 'hecke_orbit_code': 157625986991526976, 'p': 47}
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id: 3822340
{'charpoly_factorization': [[[-8, -8, 1], 1]], 'hecke_orbit_code': 157625986991526976, 'p': 53}
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id: 3822341
{'charpoly_factorization': [[[-5, 14, 1], 1]], 'hecke_orbit_code': 157625986991526976, 'p': 59}
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id: 3822342
{'charpoly_factorization': [[[-15, -6, 1], 1]], 'hecke_orbit_code': 157625986991526976, 'p': 61}
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id: 3822343
{'charpoly_factorization': [[[-29, -10, 1], 1]], 'hecke_orbit_code': 157625986991526976, 'p': 67}
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id: 3822344
{'charpoly_factorization': [[[-92, 4, 1], 1]], 'hecke_orbit_code': 157625986991526976, 'p': 71}
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id: 3822345
{'charpoly_factorization': [[[-24, 0, 1], 1]], 'hecke_orbit_code': 157625986991526976, 'p': 73}
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id: 3822346
{'charpoly_factorization': [[[115, 22, 1], 1]], 'hecke_orbit_code': 157625986991526976, 'p': 79}
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id: 3822347
{'charpoly_factorization': [[[3, -6, 1], 1]], 'hecke_orbit_code': 157625986991526976, 'p': 83}
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id: 3822348
{'charpoly_factorization': [[[40, -16, 1], 1]], 'hecke_orbit_code': 157625986991526976, 'p': 89}
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id: 3822349
{'charpoly_factorization': [[[-23, -2, 1], 1]], 'hecke_orbit_code': 157625986991526976, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 36, 'label': '5184.2.a.bj', 'level': 5184, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 270287000
{'hecke_orbit_code': 157625986991526976, 'n': 1, 'trace_an': 2}
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id: 270287001
{'hecke_orbit_code': 157625986991526976, 'n': 2, 'trace_an': 0}
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id: 270287002
{'hecke_orbit_code': 157625986991526976, 'n': 3, 'trace_an': 0}
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id: 270287003
{'hecke_orbit_code': 157625986991526976, 'n': 4, 'trace_an': 0}
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id: 270287004
{'hecke_orbit_code': 157625986991526976, 'n': 5, 'trace_an': -2}
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id: 270287005
{'hecke_orbit_code': 157625986991526976, 'n': 6, 'trace_an': 0}
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id: 270287006
{'hecke_orbit_code': 157625986991526976, 'n': 7, 'trace_an': -2}
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id: 270287007
{'hecke_orbit_code': 157625986991526976, 'n': 8, 'trace_an': 0}
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id: 270287008
{'hecke_orbit_code': 157625986991526976, 'n': 9, 'trace_an': 0}
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id: 270287009
{'hecke_orbit_code': 157625986991526976, 'n': 10, 'trace_an': 0}
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id: 270287010
{'hecke_orbit_code': 157625986991526976, 'n': 11, 'trace_an': 2}
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id: 270287011
{'hecke_orbit_code': 157625986991526976, 'n': 12, 'trace_an': 0}
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id: 270287012
{'hecke_orbit_code': 157625986991526976, 'n': 13, 'trace_an': -2}
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id: 270287013
{'hecke_orbit_code': 157625986991526976, 'n': 14, 'trace_an': 0}
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id: 270287014
{'hecke_orbit_code': 157625986991526976, 'n': 15, 'trace_an': 0}
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id: 270287015
{'hecke_orbit_code': 157625986991526976, 'n': 16, 'trace_an': 0}
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id: 270287016
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id: 270287988
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id: 270287989
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id: 270287990
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id: 270287991
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id: 270287992
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id: 270287993
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id: 270287994
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id: 270287995
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id: 270287996
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id: 270287997
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id: 270287998
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id: 270287999
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