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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': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [0, 1]], [5, [4, 2, 1]], [13, [-2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874538832950, 'hecke_ring_generator_nbound': 2, '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.b', '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.a.c', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\zeta_{6}q^{2}+(-1+\\zeta_{6})q^{4}-2\\zeta_{6}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1078.2.e', 'trace_display': [-1, 0, -2, 0], 'trace_hash': 622521448498272085, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.005', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.734', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '120.763', 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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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: 638221
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1078.2.e.b', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '154.2.a.c', 'target_level': 154, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 638222
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1078.2.e.b', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1078.2.a.j', 'target_level': 1078, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 638223
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1078.2.e.b', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1078.2.e.b', 'target_level': 1078, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 638224
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1078.2.e.b', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1078.2.e.b', 'target_level': 1078, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 638225
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1078.2.e.b', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1078.2.e.c', 'target_level': 1078, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 638226
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1078.2.e.b', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1078.2.e.c', 'target_level': 1078, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 638227
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1078.2.e.b', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1232.2.a.h', 'target_level': 1232, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 638228
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1078.2.e.b', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1386.2.a.b', 'target_level': 1386, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 638229
{'conductor': 77, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1078.2.e.b', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1694.2.a.c', 'target_level': 1694, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '77.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 638230
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1078.2.e.b', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '3850.2.a.f', 'target_level': 3850, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 638231
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1078.2.e.b', 'source_level': 1078, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3850.2.c.l', 'target_level': 3850, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 638232
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1078.2.e.b', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '4928.2.a.n', 'target_level': 4928, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 638233
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1078.2.e.b', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4928.2.a.o', 'target_level': 4928, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 638234
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1078.2.e.b', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '8624.2.a.o', 'target_level': 8624, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 638235
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1078.2.e.b', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '9702.2.a.v', 'target_level': 9702, 'twist_class_label': '154.2.a.c', '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: 1658600
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 4503874538832950, 'p': 2}
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id: 1658601
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503874538832950, 'p': 3}
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id: 1658602
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 4503874538832950, 'p': 5}
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id: 1658603
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503874538832950, 'p': 7}
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id: 1658604
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4503874538832950, 'p': 11}
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id: 1658605
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 4503874538832950, 'p': 13}
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id: 1658606
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 4503874538832950, 'p': 17}
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id: 1658607
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503874538832950, 'p': 19}
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id: 1658608
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 4503874538832950, 'p': 23}
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id: 1658609
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 4503874538832950, 'p': 29}
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id: 1658610
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 4503874538832950, 'p': 31}
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id: 1658611
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 4503874538832950, 'p': 37}
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id: 1658612
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 4503874538832950, 'p': 41}
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id: 1658613
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 4503874538832950, 'p': 43}
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id: 1658614
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 4503874538832950, 'p': 47}
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id: 1658615
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 4503874538832950, 'p': 53}
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id: 1658616
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503874538832950, 'p': 59}
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id: 1658617
{'charpoly_factorization': [[[100, 10, 1], 1]], 'hecke_orbit_code': 4503874538832950, 'p': 61}
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id: 1658618
{'charpoly_factorization': [[[144, -12, 1], 1]], 'hecke_orbit_code': 4503874538832950, 'p': 67}
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id: 1658619
{'charpoly_factorization': [[[-16, 1], 2]], 'hecke_orbit_code': 4503874538832950, 'p': 71}
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id: 1658620
{'charpoly_factorization': [[[196, -14, 1], 1]], 'hecke_orbit_code': 4503874538832950, 'p': 73}
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id: 1658621
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503874538832950, 'p': 79}
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id: 1658622
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503874538832950, 'p': 83}
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id: 1658623
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 4503874538832950, 'p': 89}
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id: 1658624
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 4503874538832950, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '1078.2.e.b', 'level': 1078, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 85598000
{'hecke_orbit_code': 4503874538832950, 'n': 1, 'trace_an': 2}
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id: 85598001
{'hecke_orbit_code': 4503874538832950, 'n': 2, 'trace_an': -1}
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id: 85598002
{'hecke_orbit_code': 4503874538832950, 'n': 3, 'trace_an': 0}
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id: 85598003
{'hecke_orbit_code': 4503874538832950, 'n': 4, 'trace_an': -1}
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id: 85598004
{'hecke_orbit_code': 4503874538832950, 'n': 5, 'trace_an': -2}
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id: 85598005
{'hecke_orbit_code': 4503874538832950, 'n': 6, 'trace_an': 0}
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id: 85598006
{'hecke_orbit_code': 4503874538832950, 'n': 7, 'trace_an': 0}
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id: 85598007
{'hecke_orbit_code': 4503874538832950, 'n': 8, 'trace_an': 2}
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id: 85598008
{'hecke_orbit_code': 4503874538832950, 'n': 9, 'trace_an': 3}
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id: 85598009
{'hecke_orbit_code': 4503874538832950, 'n': 10, 'trace_an': -2}
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id: 85598010
{'hecke_orbit_code': 4503874538832950, 'n': 11, 'trace_an': 1}
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id: 85598011
{'hecke_orbit_code': 4503874538832950, 'n': 12, 'trace_an': 0}
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id: 85598012
{'hecke_orbit_code': 4503874538832950, 'n': 13, 'trace_an': 4}
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id: 85598013
{'hecke_orbit_code': 4503874538832950, 'n': 14, 'trace_an': 0}
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id: 85598014
{'hecke_orbit_code': 4503874538832950, 'n': 15, 'trace_an': 0}
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id: 85598015
{'hecke_orbit_code': 4503874538832950, 'n': 16, 'trace_an': -1}
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id: 85598016
{'hecke_orbit_code': 4503874538832950, 'n': 17, 'trace_an': -2}
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id: 85598017
{'hecke_orbit_code': 4503874538832950, 'n': 18, 'trace_an': 3}
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id: 85598018
{'hecke_orbit_code': 4503874538832950, 'n': 19, 'trace_an': 0}
-
id: 85598019
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