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{'Nk2': 29440, 'analytic_conductor': 58.769895887662365, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [23, 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': [7360, 1, [1151, 5061, 4417, 6721], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -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, [-4, -1, 1]], [7, [-4, 1, 1]], [11, [-2, 1]], [13, [-2, -3, 1]], [17, [-4, -1, 1]]], 'hecke_orbit': 41, 'hecke_orbit_code': 180143985128381632, 'hecke_ring_generator_nbound': 3, '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': '7360.2.a.bo', 'level': 7360, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 23], 'level_radical': 230, 'minimal_twist': '460.2.a.e', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{3}-q^{5}+(-1+\\beta )q^{7}+(1+\\beta )q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7360.2.a', 'trace_display': [0, 1, -2, -1], 'trace_hash': 757431310343964768, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.972', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.392', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.448', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.163', 'prec': 17}, {'__RealLiteral__': 0, 'data': '63.175', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [2, 0, 1, 0, -2, 0, -1, 0, 3, 0, 4, 0, 3, 0, -1, 0, 1, 0, 12, 0, 8, 0, -2, 0, 2, 0, 7, 0, -4, 0, 2, 0, 2, 0, 1, 0, 5, 0, -7, 0, 0, 0, 0, 0, -3, 0, 3, 0, -5, 0, -8, 0, 5, 0, -4, 0, 6, 0, 5, 0, 6, 0, 7, 0, -3, 0, -13, 0, -1, 0, -12, 0, -13, 0, 1, 0, -2, 0, -18, 0, -14, 0, 1, 0, -1, 0, 15, 0, 12, 0, -10, 0, 35, 0, -12, 0, -18, 0, 6, 0, 23, 0, 32, 0, -8, 0, 11, 0, -6, 0, -6, 0, 5, 0, 2, 0, -4, 0, -9, 0, -14, 0, -17, 0, -2, 0, 5, 0, 0, 0, 21, 0, -6, 0, -7, 0, 22, 0, -6, 0, 27, 0, 6, 0, 4, 0, -11, 0, -6, 0, -9, 0, -7, 0, -2, 0, 21, 0, -6, 0, 1, 0, 5, 0, -2, 0, 16, 0, -13, 0, 18, 0, 14, 0, -1, 0, 28, 0, 15, 0, -14, 0, -14, 0, -5, 0, 2, 0, -12, 0, -10, 0, 9, 0, 7, 0, 25, 0, 20, 0, 2, 0, 19, 0, 0, 0, -3, 0, 24, 0, 13, 0, 11, 0, 0, 0, 33, 0, -15, 0, 10, 0, -6, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 1], [0, 0], [-1, 0], [0, 0], [-1, 1], [0, 0], [1, 1], [0, 0], [2, 0], [0, 0], [2, -1], [0, 0], [0, -1], [0, 0], [1, -1], [0, 0], [6, 0], [0, 0], [4, 0], [0, 0], [-1, 0], [0, 0], [1, 0], [0, 0], [4, -1], [0, 0], [-3, 2], [0, 0], [-1, 4], [0, 0], [0, 2], [0, 0], [1, -1], [0, 0], [3, -1], [0, 0], [-4, 1], [0, 0], [1, -2], [0, 0], [0, 0], [0, 0], [-1, -1], [0, 0], [0, 3], [0, 0], [-2, -1], [0, 0], [-4, 0], [0, 0], [3, -1], [0, 0], [-2, 0], [0, 0], [0, 6], [0, 0], [1, 3], [0, 0], [4, -2], [0, 0], [3, 1], [0, 0], [-2, 1], [0, 0], [-7, 1], [0, 0], [0, -1], [0, 0], [-7, 2], [0, 0], [-6, -1], [0, 0], [0, 1], [0, 0], [-2, 2], [0, 0], [-8, -2], [0, 0], [-7, 0], [0, 0], [-3, 7], [0, 0], [-1, 1], [0, 0], [8, -1], [0, 0], [8, -4], [0, 0], [-6, 2], [0, 0], [16, 3], [0, 0], [-6, 0], [0, 0], [-10, 2], [0, 0], [2, 2], [0, 0]], 'ap': [[0, 0], [0, 1], [-1, 0], [-1, 1], [2, 0], [2, -1], [1, -1], [6, 0], [-1, 0], [-3, 2], [-1, 4], [3, -1], [1, -2], [0, 0], [0, 3], [3, -1], [1, 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7], [4, -38], [-72, 14], [-29, 3], [2, 25], [-24, 8], [-16, -28], [17, -21], [-28, 48], [18, 6], [38, -22], [-30, 30], [-44, 0], [-24, 1], [4, 1], [52, -10], [95, -5], [-24, 1], [29, 10]], 'char_orbit_index': 1, 'field_poly': [-4, -1, 1], 'hecke_orbit_code': 180143985128381632, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '7360.2.a.bo', 'level': 7360, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [23, -1]], 25, 10], [[[2, 1], [5, 1], [23, -1]], 22, 10], [[[2, 1], [5, 1], [23, 1]], 22, 9], [[[2, -1], [5, -1], [23, 1]], 19, 9], [[[2, -1], [5, 1], [23, -1]], 22, 7], [[[2, 1], [5, -1], [23, -1]], 19, 10], [[[2, 1], [5, -1], [23, 1]], 25, 11], [[[2, -1], [5, 1], [23, 1]], 22, 8]], 'ALdims': [22, 22, 25, 19, 22, 22, 19, 25], 'Nk2': 29440, 'analytic_conductor': 58.769895887662365, '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': [7360, 1, [1151, 5061, 4417, 6721], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1129, 'dim': 176, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 13, 17], 'hecke_orbit_code': 33561792, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 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mf_twists_nf • Show schema
Hide schema
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id: 1346366
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '7360.2.a.bo', 'source_level': 7360, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '460.2.a.e', 'target_level': 460, 'twist_class_label': '460.2.a.e', 'twist_class_level': 460, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1346367
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '7360.2.a.bo', 'source_level': 7360, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1840.2.a.m', 'target_level': 1840, 'twist_class_label': '460.2.a.e', 'twist_class_level': 460, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1346368
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '7360.2.a.bo', 'source_level': 7360, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2300.2.a.i', 'target_level': 2300, 'twist_class_label': '460.2.a.e', 'twist_class_level': 460, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1346369
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '7360.2.a.bo', 'source_level': 7360, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2300.2.c.h', 'target_level': 2300, 'twist_class_label': '460.2.a.e', 'twist_class_level': 460, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1346370
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '7360.2.a.bo', 'source_level': 7360, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '4140.2.a.m', 'target_level': 4140, 'twist_class_label': '460.2.a.e', 'twist_class_level': 460, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1346371
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '7360.2.a.bo', 'source_level': 7360, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '7360.2.a.bi', 'target_level': 7360, 'twist_class_label': '460.2.a.e', 'twist_class_level': 460, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1346372
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '7360.2.a.bo', 'source_level': 7360, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '7360.2.a.bo', 'target_level': 7360, 'twist_class_label': '460.2.a.e', 'twist_class_level': 460, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1346373
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '7360.2.a.bo', 'source_level': 7360, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '9200.2.a.bv', 'target_level': 9200, 'twist_class_label': '460.2.a.e', 'twist_class_level': 460, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4451925
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 180143985128381632, 'p': 2}
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id: 4451926
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 180143985128381632, 'p': 3}
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id: 4451927
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 180143985128381632, 'p': 5}
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id: 4451928
{'charpoly_factorization': [[[-4, 1, 1], 1]], 'hecke_orbit_code': 180143985128381632, 'p': 7}
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id: 4451929
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 180143985128381632, 'p': 11}
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id: 4451930
{'charpoly_factorization': [[[-2, -3, 1], 1]], 'hecke_orbit_code': 180143985128381632, 'p': 13}
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id: 4451931
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 180143985128381632, 'p': 17}
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id: 4451932
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 180143985128381632, 'p': 19}
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id: 4451933
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 180143985128381632, 'p': 23}
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id: 4451934
{'charpoly_factorization': [[[-13, 4, 1], 1]], 'hecke_orbit_code': 180143985128381632, 'p': 29}
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id: 4451935
{'charpoly_factorization': [[[-67, -2, 1], 1]], 'hecke_orbit_code': 180143985128381632, 'p': 31}
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id: 4451936
{'charpoly_factorization': [[[2, -5, 1], 1]], 'hecke_orbit_code': 180143985128381632, 'p': 37}
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id: 4451937
{'charpoly_factorization': [[[-17, 0, 1], 1]], 'hecke_orbit_code': 180143985128381632, 'p': 41}
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id: 4451938
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 180143985128381632, 'p': 43}
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id: 4451939
{'charpoly_factorization': [[[-36, -3, 1], 1]], 'hecke_orbit_code': 180143985128381632, 'p': 47}
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id: 4451940
{'charpoly_factorization': [[[2, -5, 1], 1]], 'hecke_orbit_code': 180143985128381632, 'p': 53}
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id: 4451941
{'charpoly_factorization': [[[-32, -5, 1], 1]], 'hecke_orbit_code': 180143985128381632, 'p': 59}
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id: 4451942
{'charpoly_factorization': [[[-8, -6, 1], 1]], 'hecke_orbit_code': 180143985128381632, 'p': 61}
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id: 4451943
{'charpoly_factorization': [[[38, 13, 1], 1]], 'hecke_orbit_code': 180143985128381632, 'p': 67}
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id: 4451944
{'charpoly_factorization': [[[19, 12, 1], 1]], 'hecke_orbit_code': 180143985128381632, 'p': 71}
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id: 4451945
{'charpoly_factorization': [[[38, 13, 1], 1]], 'hecke_orbit_code': 180143985128381632, 'p': 73}
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id: 4451946
{'charpoly_factorization': [[[64, 18, 1], 1]], 'hecke_orbit_code': 180143985128381632, 'p': 79}
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id: 4451947
{'charpoly_factorization': [[[-208, -1, 1], 1]], 'hecke_orbit_code': 180143985128381632, 'p': 83}
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id: 4451948
{'charpoly_factorization': [[[-32, -12, 1], 1]], 'hecke_orbit_code': 180143985128381632, 'p': 89}
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id: 4451949
{'charpoly_factorization': [[[64, 18, 1], 1]], 'hecke_orbit_code': 180143985128381632, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 41, 'label': '7360.2.a.bo', 'level': 7360, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 273662000
{'hecke_orbit_code': 180143985128381632, 'n': 1, 'trace_an': 2}
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id: 273662001
{'hecke_orbit_code': 180143985128381632, 'n': 2, 'trace_an': 0}
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id: 273662002
{'hecke_orbit_code': 180143985128381632, 'n': 3, 'trace_an': 1}
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id: 273662003
{'hecke_orbit_code': 180143985128381632, 'n': 4, 'trace_an': 0}
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id: 273662004
{'hecke_orbit_code': 180143985128381632, 'n': 5, 'trace_an': -2}
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id: 273662005
{'hecke_orbit_code': 180143985128381632, 'n': 6, 'trace_an': 0}
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id: 273662006
{'hecke_orbit_code': 180143985128381632, 'n': 7, 'trace_an': -1}
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id: 273662007
{'hecke_orbit_code': 180143985128381632, 'n': 8, 'trace_an': 0}
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id: 273662008
{'hecke_orbit_code': 180143985128381632, 'n': 9, 'trace_an': 3}
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id: 273662009
{'hecke_orbit_code': 180143985128381632, 'n': 10, 'trace_an': 0}
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id: 273662010
{'hecke_orbit_code': 180143985128381632, 'n': 11, 'trace_an': 4}
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id: 273662011
{'hecke_orbit_code': 180143985128381632, 'n': 12, 'trace_an': 0}
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id: 273662012
{'hecke_orbit_code': 180143985128381632, 'n': 13, 'trace_an': 3}
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id: 273662013
{'hecke_orbit_code': 180143985128381632, 'n': 14, 'trace_an': 0}
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id: 273662014
{'hecke_orbit_code': 180143985128381632, 'n': 15, 'trace_an': -1}
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id: 273662015
{'hecke_orbit_code': 180143985128381632, 'n': 16, 'trace_an': 0}
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id: 273662016
{'hecke_orbit_code': 180143985128381632, 'n': 17, 'trace_an': 1}
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id: 273662017
{'hecke_orbit_code': 180143985128381632, 'n': 18, 'trace_an': 0}
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id: 273662018
{'hecke_orbit_code': 180143985128381632, 'n': 19, 'trace_an': 12}
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id: 273662019
{'hecke_orbit_code': 180143985128381632, 'n': 20, 'trace_an': 0}
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