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mf_newforms • Show schema
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{'Nk2': 18432, 'analytic_conductor': 36.795065251406, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [4608, 2, [3583, 2053, 4097], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 2305, 'conrey_indexes': [2305], 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [4, 0, 12, 0, 1]], [7, [2, -4, 1]], [17, [-28, -4, 1]], [23, [8, 8, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050600975176192, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4608.2.d.o', 'level': 4608, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '1536.2.a.b', 'nf_label': '4.0.256.1', 'prim_orbit_index': 2, 'qexp_display': 'q+(\\zeta_{8}-\\zeta_{8}^{2})q^{5}+(2+\\zeta_{8}^{3})q^{7}-\\zeta_{8}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4608.2.d', 'trace_display': [0, 0, 0, 8], 'trace_hash': 1951772945432384671, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.064', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.754', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.975', 'prec': 17}, {'__RealLiteral__': 0, 'data': '72.510', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
Hide schema
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{'Nk2': 18432, 'analytic_conductor': 36.795065251406, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [4608, 2, [3583, 2053, 4097], [2, 1, 2]], 'conrey_index': 2305, 'cusp_dim': 704, 'dim': 80, 'eis_dim': 128, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 17, 23], 'hecke_orbit_code': 206191989248, 'hecke_orbit_dims': [2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], 'label': '4608.2.d', 'level': 4608, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 832, 'mf_new_dim': 80, 'num_forms': 18, 'prim_orbit_index': 2, 'relative_dim': 80, 'sturm_bound': 1536, 'trace_bound': 25, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1214005
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4608.2.d.o', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1536.2.a.b', 'target_level': 1536, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1214006
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4608.2.d.o', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '1536.2.a.e', 'target_level': 1536, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1214007
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4608.2.d.o', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '1536.2.a.g', 'target_level': 1536, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1214008
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4608.2.d.o', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '1536.2.a.l', 'target_level': 1536, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1214009
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4608.2.d.o', 'source_level': 4608, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1536.2.d.a', 'target_level': 1536, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1214010
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4608.2.d.o', 'source_level': 4608, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1536.2.d.a', 'target_level': 1536, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1214011
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4608.2.d.o', 'source_level': 4608, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1536.2.d.f', 'target_level': 1536, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1214012
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4608.2.d.o', 'source_level': 4608, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1536.2.d.f', 'target_level': 1536, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1214013
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4608.2.d.o', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4608.2.a.a', 'target_level': 4608, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1214014
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4608.2.d.o', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '4608.2.a.e', 'target_level': 4608, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1214015
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4608.2.d.o', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '4608.2.a.n', 'target_level': 4608, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1214016
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4608.2.d.o', 'source_level': 4608, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '4608.2.a.r', 'target_level': 4608, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1214017
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4608.2.d.o', 'source_level': 4608, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '4608.2.d.c', 'target_level': 4608, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1214018
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4608.2.d.o', 'source_level': 4608, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '4608.2.d.c', 'target_level': 4608, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1214019
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4608.2.d.o', 'source_level': 4608, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4608.2.d.o', 'target_level': 4608, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1214020
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4608.2.d.o', 'source_level': 4608, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4608.2.d.o', 'target_level': 4608, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3651125
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 63050600975176192, 'p': 2}
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id: 3651126
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 63050600975176192, 'p': 3}
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id: 3651127
{'charpoly_factorization': [[[4, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 63050600975176192, 'p': 5}
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id: 3651128
{'charpoly_factorization': [[[2, -4, 1], 2]], 'hecke_orbit_code': 63050600975176192, 'p': 7}
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id: 3651129
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 63050600975176192, 'p': 11}
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id: 3651130
{'charpoly_factorization': [[[8, 0, 1], 2]], 'hecke_orbit_code': 63050600975176192, 'p': 13}
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id: 3651131
{'charpoly_factorization': [[[-28, -4, 1], 2]], 'hecke_orbit_code': 63050600975176192, 'p': 17}
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id: 3651132
{'charpoly_factorization': [[[32, 0, 1], 2]], 'hecke_orbit_code': 63050600975176192, 'p': 19}
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id: 3651133
{'charpoly_factorization': [[[8, 8, 1], 2]], 'hecke_orbit_code': 63050600975176192, 'p': 23}
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id: 3651134
{'charpoly_factorization': [[[4, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 63050600975176192, 'p': 29}
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id: 3651135
{'charpoly_factorization': [[[34, 12, 1], 2]], 'hecke_orbit_code': 63050600975176192, 'p': 31}
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id: 3651136
{'charpoly_factorization': [[[256, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 63050600975176192, 'p': 37}
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id: 3651137
{'charpoly_factorization': [[[4, 12, 1], 2]], 'hecke_orbit_code': 63050600975176192, 'p': 41}
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id: 3651138
{'charpoly_factorization': [[[256, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 63050600975176192, 'p': 43}
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id: 3651139
{'charpoly_factorization': [[[-56, -8, 1], 2]], 'hecke_orbit_code': 63050600975176192, 'p': 47}
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id: 3651140
{'charpoly_factorization': [[[8836, 0, 204, 0, 1], 1]], 'hecke_orbit_code': 63050600975176192, 'p': 53}
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id: 3651141
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 63050600975176192, 'p': 59}
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id: 3651142
{'charpoly_factorization': [[[256, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 63050600975176192, 'p': 61}
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id: 3651143
{'charpoly_factorization': [[[64, 0, 1], 2]], 'hecke_orbit_code': 63050600975176192, 'p': 67}
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id: 3651144
{'charpoly_factorization': [[[136, 24, 1], 2]], 'hecke_orbit_code': 63050600975176192, 'p': 71}
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id: 3651145
{'charpoly_factorization': [[[-16, 8, 1], 2]], 'hecke_orbit_code': 63050600975176192, 'p': 73}
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id: 3651146
{'charpoly_factorization': [[[82, 20, 1], 2]], 'hecke_orbit_code': 63050600975176192, 'p': 79}
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id: 3651147
{'charpoly_factorization': [[[15376, 0, 264, 0, 1], 1]], 'hecke_orbit_code': 63050600975176192, 'p': 83}
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id: 3651148
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 63050600975176192, 'p': 89}
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id: 3651149
{'charpoly_factorization': [[[-124, -4, 1], 2]], 'hecke_orbit_code': 63050600975176192, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 15, 'label': '4608.2.d.o', 'level': 4608, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 233611000
{'hecke_orbit_code': 63050600975176192, 'n': 1, 'trace_an': 4}
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id: 233611001
{'hecke_orbit_code': 63050600975176192, 'n': 2, 'trace_an': 0}
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id: 233611002
{'hecke_orbit_code': 63050600975176192, 'n': 3, 'trace_an': 0}
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id: 233611003
{'hecke_orbit_code': 63050600975176192, 'n': 4, 'trace_an': 0}
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id: 233611004
{'hecke_orbit_code': 63050600975176192, 'n': 5, 'trace_an': 0}
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id: 233611005
{'hecke_orbit_code': 63050600975176192, 'n': 6, 'trace_an': 0}
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id: 233611006
{'hecke_orbit_code': 63050600975176192, 'n': 7, 'trace_an': 8}
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id: 233611007
{'hecke_orbit_code': 63050600975176192, 'n': 8, 'trace_an': 0}
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id: 233611008
{'hecke_orbit_code': 63050600975176192, 'n': 9, 'trace_an': 0}
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id: 233611009
{'hecke_orbit_code': 63050600975176192, 'n': 10, 'trace_an': 0}
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id: 233611010
{'hecke_orbit_code': 63050600975176192, 'n': 11, 'trace_an': 0}
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id: 233611011
{'hecke_orbit_code': 63050600975176192, 'n': 12, 'trace_an': 0}
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id: 233611012
{'hecke_orbit_code': 63050600975176192, 'n': 13, 'trace_an': 0}
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id: 233611013
{'hecke_orbit_code': 63050600975176192, 'n': 14, 'trace_an': 0}
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id: 233611014
{'hecke_orbit_code': 63050600975176192, 'n': 15, 'trace_an': 0}
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id: 233611015
{'hecke_orbit_code': 63050600975176192, 'n': 16, 'trace_an': 0}
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id: 233611016
{'hecke_orbit_code': 63050600975176192, 'n': 17, 'trace_an': 8}
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id: 233611017
{'hecke_orbit_code': 63050600975176192, 'n': 18, 'trace_an': 0}
-
id: 233611018
{'hecke_orbit_code': 63050600975176192, 'n': 19, 'trace_an': 0}
-
id: 233611019
{'hecke_orbit_code': 63050600975176192, 'n': 20, 'trace_an': 0}
-
id: 233611020
{'hecke_orbit_code': 63050600975176192, 'n': 21, 'trace_an': 0}
-
id: 233611021
{'hecke_orbit_code': 63050600975176192, 'n': 22, 'trace_an': 0}
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id: 233611022
{'hecke_orbit_code': 63050600975176192, 'n': 23, 'trace_an': -16}
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id: 233611023
{'hecke_orbit_code': 63050600975176192, 'n': 24, 'trace_an': 0}
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id: 233611024
{'hecke_orbit_code': 63050600975176192, 'n': 25, 'trace_an': -4}
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id: 233611025
{'hecke_orbit_code': 63050600975176192, 'n': 26, 'trace_an': 0}
-
id: 233611026
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