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mf_newforms • Show schema
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{'Nk2': 4312, 'analytic_conductor': 8.607873337894025, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [1078, 3, [199, 981], [2, 3]], 'cm_discs': [], 'conrey_index': 67, 'conrey_indexes': [67, 177], 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, 2, 0, 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, [1, -2, 5, 2, 1]], [5, [4, 8, 14, 4, 1]], [13, [-7, -2, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043470439908406, 'hecke_ring_generator_nbound': 3, '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, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1078.2.e.m', 'level': 1078, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 11], 'level_radical': 154, 'minimal_twist': '154.2.e.e', 'nf_label': '4.0.576.2', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{2}q^{2}+(-1+\\beta _{1}-\\beta _{2})q^{3}+(-1+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1078.2.e', 'trace_display': [-2, -2, -4, 0], 'trace_hash': 1467090975463980512, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.762', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.347', 'prec': 17}, {'__RealLiteral__': 0, 'data': '52.796', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4.106', 'prec': 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mf_hecke_nf • Show schema
Hide schema
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1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '1078.2.e.m', 'level': 1078, 'maxp': 1999, 'weight': 2}
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{'Nk2': 4312, 'analytic_conductor': 8.607873337894025, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [1078, 3, [199, 981], [2, 3]], 'conrey_index': 67, 'cusp_dim': 304, 'dim': 64, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 13], 'hecke_orbit_code': 274911462454, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '1078.2.e', 'level': 1078, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 11], 'level_radical': 154, 'mf_dim': 368, 'mf_new_dim': 64, 'num_forms': 22, 'prim_orbit_index': 3, 'relative_dim': 32, 'sturm_bound': 336, 'trace_bound': 23, 'trace_display': [0, 0, -4, 0], 'traces': [64, 0, 0, -32, -4, -8, 0, 0, -24, 0, 0, 0, -8, 0, 8, -32, 12, -16, 0, 8, 0, 0, -32, 4, -40, -12, 24, 0, 8, 0, -4, 0, -4, 8, 0, 48, 48, -4, 44, 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mf_twists_nf • Show schema
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id: 638377
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1078.2.e.m', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '154.2.e.e', 'target_level': 154, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 638378
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1078.2.e.m', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '154.2.e.e', 'target_level': 154, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 638379
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1078.2.e.m', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1078.2.a.t', 'target_level': 1078, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 638380
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1078.2.e.m', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '1078.2.a.x', 'target_level': 1078, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 638381
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1078.2.e.m', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1078.2.e.m', 'target_level': 1078, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 638382
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1078.2.e.m', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1078.2.e.m', 'target_level': 1078, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 638383
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1078.2.e.m', 'source_level': 1078, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1232.2.q.f', 'target_level': 1232, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 638384
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1078.2.e.m', 'source_level': 1078, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1232.2.q.f', 'target_level': 1232, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 638385
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1078.2.e.m', 'source_level': 1078, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1386.2.k.t', 'target_level': 1386, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 638386
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1078.2.e.m', 'source_level': 1078, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1386.2.k.t', 'target_level': 1386, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 638387
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1078.2.e.m', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '8624.2.a.bh', 'target_level': 8624, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 638388
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1078.2.e.m', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 55, 'target_is_minimal': False, 'target_label': '8624.2.a.cc', 'target_level': 8624, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 638389
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1078.2.e.m', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 60, 'target_is_minimal': False, 'target_label': '9702.2.a.ch', 'target_level': 9702, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 638390
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1078.2.e.m', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 76, 'target_is_minimal': False, 'target_label': '9702.2.a.cx', 'target_level': 9702, 'twist_class_label': '154.2.e.e', 'twist_class_level': 154, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1658725
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 54043470439908406, 'p': 2}
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id: 1658726
{'charpoly_factorization': [[[1, -2, 5, 2, 1], 1]], 'hecke_orbit_code': 54043470439908406, 'p': 3}
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id: 1658727
{'charpoly_factorization': [[[4, 8, 14, 4, 1], 1]], 'hecke_orbit_code': 54043470439908406, 'p': 5}
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id: 1658728
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 54043470439908406, 'p': 7}
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id: 1658729
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 54043470439908406, 'p': 11}
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id: 1658730
{'charpoly_factorization': [[[-7, -2, 1], 2]], 'hecke_orbit_code': 54043470439908406, 'p': 13}
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id: 1658731
{'charpoly_factorization': [[[784, -112, 44, 4, 1], 1]], 'hecke_orbit_code': 54043470439908406, 'p': 17}
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id: 1658732
{'charpoly_factorization': [[[4, 8, 14, 4, 1], 1]], 'hecke_orbit_code': 54043470439908406, 'p': 19}
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id: 1658733
{'charpoly_factorization': [[[196, 56, 30, -4, 1], 1]], 'hecke_orbit_code': 54043470439908406, 'p': 23}
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id: 1658734
{'charpoly_factorization': [[[-23, 6, 1], 2]], 'hecke_orbit_code': 54043470439908406, 'p': 29}
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id: 1658735
{'charpoly_factorization': [[[16, 4, 1], 2]], 'hecke_orbit_code': 54043470439908406, 'p': 31}
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id: 1658736
{'charpoly_factorization': [[[3844, -992, 194, -16, 1], 1]], 'hecke_orbit_code': 54043470439908406, 'p': 37}
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id: 1658737
{'charpoly_factorization': [[[14, -8, 1], 2]], 'hecke_orbit_code': 54043470439908406, 'p': 41}
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id: 1658738
{'charpoly_factorization': [[[-32, 0, 1], 2]], 'hecke_orbit_code': 54043470439908406, 'p': 43}
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id: 1658739
{'charpoly_factorization': [[[4624, -272, 84, 4, 1], 1]], 'hecke_orbit_code': 54043470439908406, 'p': 47}
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id: 1658740
{'charpoly_factorization': [[[8836, 376, 110, -4, 1], 1]], 'hecke_orbit_code': 54043470439908406, 'p': 53}
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id: 1658741
{'charpoly_factorization': [[[2209, 658, 149, 14, 1], 1]], 'hecke_orbit_code': 54043470439908406, 'p': 59}
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id: 1658742
{'charpoly_factorization': [[[5329, -1314, 251, -18, 1], 1]], 'hecke_orbit_code': 54043470439908406, 'p': 61}
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id: 1658743
{'charpoly_factorization': [[[961, 434, 165, 14, 1], 1]], 'hecke_orbit_code': 54043470439908406, 'p': 67}
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id: 1658744
{'charpoly_factorization': [[[-34, 8, 1], 2]], 'hecke_orbit_code': 54043470439908406, 'p': 71}
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id: 1658745
{'charpoly_factorization': [[[3844, 992, 194, 16, 1], 1]], 'hecke_orbit_code': 54043470439908406, 'p': 73}
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id: 1658746
{'charpoly_factorization': [[[3969, -1134, 261, -18, 1], 1]], 'hecke_orbit_code': 54043470439908406, 'p': 79}
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id: 1658747
{'charpoly_factorization': [[[-196, 4, 1], 2]], 'hecke_orbit_code': 54043470439908406, 'p': 83}
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id: 1658748
{'charpoly_factorization': [[[3136, 448, 120, -8, 1], 1]], 'hecke_orbit_code': 54043470439908406, 'p': 89}
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id: 1658749
{'charpoly_factorization': [[[-7, -2, 1], 2]], 'hecke_orbit_code': 54043470439908406, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 13, 'label': '1078.2.e.m', 'level': 1078, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 225344000
{'hecke_orbit_code': 54043470439908406, 'n': 1, 'trace_an': 4}
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id: 225344001
{'hecke_orbit_code': 54043470439908406, 'n': 2, 'trace_an': -2}
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id: 225344002
{'hecke_orbit_code': 54043470439908406, 'n': 3, 'trace_an': -2}
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id: 225344003
{'hecke_orbit_code': 54043470439908406, 'n': 4, 'trace_an': -2}
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id: 225344004
{'hecke_orbit_code': 54043470439908406, 'n': 5, 'trace_an': -4}
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id: 225344005
{'hecke_orbit_code': 54043470439908406, 'n': 6, 'trace_an': 4}
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id: 225344006
{'hecke_orbit_code': 54043470439908406, 'n': 7, 'trace_an': 0}
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id: 225344007
{'hecke_orbit_code': 54043470439908406, 'n': 8, 'trace_an': 4}
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id: 225344008
{'hecke_orbit_code': 54043470439908406, 'n': 9, 'trace_an': 0}
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id: 225344009
{'hecke_orbit_code': 54043470439908406, 'n': 10, 'trace_an': -4}
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id: 225344010
{'hecke_orbit_code': 54043470439908406, 'n': 11, 'trace_an': -2}
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id: 225344011
{'hecke_orbit_code': 54043470439908406, 'n': 12, 'trace_an': -2}
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id: 225344012
{'hecke_orbit_code': 54043470439908406, 'n': 13, 'trace_an': 4}
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id: 225344013
{'hecke_orbit_code': 54043470439908406, 'n': 14, 'trace_an': 0}
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id: 225344014
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