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{'Nk2': 20736, 'analytic_conductor': 41.39444840783175, 'analytic_rank': 1, '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': 51, 'hecke_orbit_code': 225179981402084416, '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.by', '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': 408334159088241146, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.985', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.701', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide 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: 1246100
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '5184.2.a.by', '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.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1246101
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '5184.2.a.by', '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.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1246102
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '5184.2.a.by', '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': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1246103
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '5184.2.a.by', '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': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1246104
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '5184.2.a.by', '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.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1246105
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '5184.2.a.by', '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.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1246106
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '5184.2.a.by', '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': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1246107
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '5184.2.a.by', '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': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1246108
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '5184.2.a.by', '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': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1246109
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '5184.2.a.by', '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': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1246110
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '5184.2.a.by', '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': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1246111
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '5184.2.a.by', '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': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1246112
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '5184.2.a.by', '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': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1246113
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '5184.2.a.by', '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': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1246114
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '5184.2.a.by', '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': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1246115
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '5184.2.a.by', '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': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3821100
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 225179981402084416, 'p': 2}
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id: 3821101
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 225179981402084416, 'p': 3}
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id: 3821102
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 225179981402084416, 'p': 5}
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id: 3821103
{'charpoly_factorization': [[[-5, -2, 1], 1]], 'hecke_orbit_code': 225179981402084416, 'p': 7}
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id: 3821104
{'charpoly_factorization': [[[-5, -2, 1], 1]], 'hecke_orbit_code': 225179981402084416, 'p': 11}
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id: 3821105
{'charpoly_factorization': [[[-23, 2, 1], 1]], 'hecke_orbit_code': 225179981402084416, 'p': 13}
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id: 3821106
{'charpoly_factorization': [[[-24, 0, 1], 1]], 'hecke_orbit_code': 225179981402084416, 'p': 17}
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id: 3821107
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 225179981402084416, 'p': 19}
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id: 3821108
{'charpoly_factorization': [[[3, 6, 1], 1]], 'hecke_orbit_code': 225179981402084416, 'p': 23}
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id: 3821109
{'charpoly_factorization': [[[1, 10, 1], 1]], 'hecke_orbit_code': 225179981402084416, 'p': 29}
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id: 3821110
{'charpoly_factorization': [[[19, -10, 1], 1]], 'hecke_orbit_code': 225179981402084416, 'p': 31}
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id: 3821111
{'charpoly_factorization': [[[-8, 8, 1], 1]], 'hecke_orbit_code': 225179981402084416, 'p': 37}
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id: 3821112
{'charpoly_factorization': [[[25, 14, 1], 1]], 'hecke_orbit_code': 225179981402084416, 'p': 41}
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id: 3821113
{'charpoly_factorization': [[[-29, 10, 1], 1]], 'hecke_orbit_code': 225179981402084416, 'p': 43}
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id: 3821114
{'charpoly_factorization': [[[-53, -2, 1], 1]], 'hecke_orbit_code': 225179981402084416, 'p': 47}
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id: 3821115
{'charpoly_factorization': [[[-8, 8, 1], 1]], 'hecke_orbit_code': 225179981402084416, 'p': 53}
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id: 3821116
{'charpoly_factorization': [[[-5, 14, 1], 1]], 'hecke_orbit_code': 225179981402084416, 'p': 59}
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id: 3821117
{'charpoly_factorization': [[[-15, -6, 1], 1]], 'hecke_orbit_code': 225179981402084416, 'p': 61}
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id: 3821118
{'charpoly_factorization': [[[-29, 10, 1], 1]], 'hecke_orbit_code': 225179981402084416, 'p': 67}
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id: 3821119
{'charpoly_factorization': [[[-92, 4, 1], 1]], 'hecke_orbit_code': 225179981402084416, 'p': 71}
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id: 3821120
{'charpoly_factorization': [[[-24, 0, 1], 1]], 'hecke_orbit_code': 225179981402084416, 'p': 73}
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id: 3821121
{'charpoly_factorization': [[[115, -22, 1], 1]], 'hecke_orbit_code': 225179981402084416, 'p': 79}
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id: 3821122
{'charpoly_factorization': [[[3, -6, 1], 1]], 'hecke_orbit_code': 225179981402084416, 'p': 83}
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id: 3821123
{'charpoly_factorization': [[[40, 16, 1], 1]], 'hecke_orbit_code': 225179981402084416, 'p': 89}
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id: 3821124
{'charpoly_factorization': [[[-23, -2, 1], 1]], 'hecke_orbit_code': 225179981402084416, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 51, 'label': '5184.2.a.by', '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: 277440000
{'hecke_orbit_code': 225179981402084416, 'n': 1, 'trace_an': 2}
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id: 277440001
{'hecke_orbit_code': 225179981402084416, 'n': 2, 'trace_an': 0}
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id: 277440002
{'hecke_orbit_code': 225179981402084416, 'n': 3, 'trace_an': 0}
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id: 277440003
{'hecke_orbit_code': 225179981402084416, 'n': 4, 'trace_an': 0}
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id: 277440004
{'hecke_orbit_code': 225179981402084416, 'n': 5, 'trace_an': 2}
-
id: 277440005
{'hecke_orbit_code': 225179981402084416, 'n': 6, 'trace_an': 0}
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id: 277440006
{'hecke_orbit_code': 225179981402084416, 'n': 7, 'trace_an': 2}
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id: 277440007
{'hecke_orbit_code': 225179981402084416, 'n': 8, 'trace_an': 0}
-
id: 277440008
{'hecke_orbit_code': 225179981402084416, 'n': 9, 'trace_an': 0}
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id: 277440009
{'hecke_orbit_code': 225179981402084416, 'n': 10, 'trace_an': 0}
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id: 277440010
{'hecke_orbit_code': 225179981402084416, 'n': 11, 'trace_an': 2}
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id: 277440011
{'hecke_orbit_code': 225179981402084416, 'n': 12, 'trace_an': 0}
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id: 277440012
{'hecke_orbit_code': 225179981402084416, 'n': 13, 'trace_an': -2}
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id: 277440013
{'hecke_orbit_code': 225179981402084416, 'n': 14, 'trace_an': 0}
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id: 277440014
{'hecke_orbit_code': 225179981402084416, 'n': 15, 'trace_an': 0}
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id: 277440015
{'hecke_orbit_code': 225179981402084416, 'n': 16, 'trace_an': 0}
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id: 277440016
{'hecke_orbit_code': 225179981402084416, 'n': 17, 'trace_an': 0}
-
id: 277440017
{'hecke_orbit_code': 225179981402084416, 'n': 18, 'trace_an': 0}
-
id: 277440018
{'hecke_orbit_code': 225179981402084416, 'n': 19, 'trace_an': -8}
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id: 277440019
{'hecke_orbit_code': 225179981402084416, 'n': 20, 'trace_an': 0}
-
id: 277440020
{'hecke_orbit_code': 225179981402084416, 'n': 21, 'trace_an': 0}
-
id: 277440021
{'hecke_orbit_code': 225179981402084416, 'n': 22, 'trace_an': 0}
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id: 277440022
{'hecke_orbit_code': 225179981402084416, 'n': 23, 'trace_an': -6}
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id: 277440023
{'hecke_orbit_code': 225179981402084416, 'n': 24, 'trace_an': 0}
-
id: 277440024
{'hecke_orbit_code': 225179981402084416, 'n': 25, 'trace_an': -8}
-
id: 277440025
{'hecke_orbit_code': 225179981402084416, 'n': 26, 'trace_an': 0}
-
id: 277440026
{'hecke_orbit_code': 225179981402084416, 'n': 27, 'trace_an': 0}
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id: 277440027
{'hecke_orbit_code': 225179981402084416, 'n': 28, 'trace_an': 0}
-
id: 277440028
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{'hecke_orbit_code': 225179981402084416, 'n': 1000, 'trace_an': 0}