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mf_newforms • Show schema
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{'Nk2': 2548, 'analytic_conductor': 5.086470608755561, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [637, 3, [248, 197], [3, 2]], 'cm_discs': [], 'conrey_index': 295, 'dim': 8, 'field_disc': 100088711424, 'field_disc_factorization': [[2, 8], [3, 4], [13, 6]], 'field_poly': [1521, 0, -507, 0, 130, 0, -13, 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': [[2, [9, -3, 4, 1, 1]], [3, [1521, 0, 507, 0, 130, 0, 13, 0, 1]], [5, [39, 0, -13, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525541022532221, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2548, 'analytic_conductor': 5.086470608755561, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [637, 3, [248, 197], [3, 2]], 'conrey_index': 295, 'cusp_dim': 116, 'dim': 84, 'eis_dim': 32, 'eis_new_dim': 20, 'hecke_cutter_primes': [2, 3, 5], 'hecke_orbit_code': 343630938749, 'hecke_orbit_dims': [2, 2, 4, 4, 4, 4, 8, 8, 8, 12, 12, 16], 'label': '637.2.f', 'level': 637, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 13], 'level_radical': 91, 'mf_dim': 148, 'mf_new_dim': 104, 'num_forms': 12, 'prim_orbit_index': 3, 'relative_dim': 42, 'sturm_bound': 130, 'trace_bound': 5, 'trace_display': [2, 0, 8, 0], 'traces': [84, 2, 0, -34, 8, -6, 0, -24, -26, 2, -2, -4, 2, 0, -10, -10, -10, -20, 8, 10, 0, -4, 6, -28, 60, 12, 36, 0, -8, 24, 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mf_twists_cc • Show schema
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id: 46282847
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 295, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525541022532221, 'source_is_minimal': True, 'source_label': '637.2.f.h.295.2', 'source_level': 637, 'target_conrey_index': 295, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525541022532221, 'target_is_minimal': True, 'target_label': '637.2.f.h.295.2', 'target_level': 637, 'twist_class_label': '637.2.f.h.295.1', 'twist_class_level': 637, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46282848
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 295, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525541022532221, 'source_is_minimal': True, 'source_label': '637.2.f.h.295.2', 'source_level': 637, 'target_conrey_index': 165, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532877716226685, 'target_is_minimal': False, 'target_label': '637.2.h.j.165.4', 'target_level': 637, 'twist_class_label': '637.2.f.h.295.1', 'twist_class_level': 637, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46282849
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 295, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525541022532221, 'source_is_minimal': True, 'source_label': '637.2.f.h.295.2', 'source_level': 637, 'target_conrey_index': 373, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029209369379453, 'target_is_minimal': False, 'target_label': '637.2.g.i.373.2', 'target_level': 637, 'twist_class_label': '637.2.f.h.295.1', 'twist_class_level': 637, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46282850
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 295, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525541022532221, 'source_is_minimal': True, 'source_label': '637.2.f.h.295.2', 'source_level': 637, 'target_conrey_index': 373, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029209369379453, 'target_is_minimal': False, 'target_label': '637.2.g.i.373.1', 'target_level': 637, 'twist_class_label': '637.2.f.h.295.1', 'twist_class_level': 637, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46282851
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 295, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525541022532221, 'source_is_minimal': True, 'source_label': '637.2.f.h.295.2', 'source_level': 637, 'target_conrey_index': 165, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532877716226685, 'target_is_minimal': False, 'target_label': '637.2.h.j.165.3', 'target_level': 637, 'twist_class_label': '637.2.f.h.295.1', 'twist_class_level': 637, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46282852
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 295, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525541022532221, 'source_is_minimal': True, 'source_label': '637.2.f.h.295.2', 'source_level': 637, 'target_conrey_index': 295, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525541022532221, 'target_is_minimal': True, 'target_label': '637.2.f.h.295.1', 'target_level': 637, 'twist_class_label': '637.2.f.h.295.1', 'twist_class_level': 637, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 46282853
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 295, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525541022532221, 'source_is_minimal': True, 'source_label': '637.2.f.h.295.2', 'source_level': 637, 'target_conrey_index': 393, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525541022532221, 'target_is_minimal': True, 'target_label': '637.2.f.h.393.2', 'target_level': 637, 'twist_class_label': '637.2.f.h.295.1', 'twist_class_level': 637, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46282854
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 295, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525541022532221, 'source_is_minimal': True, 'source_label': '637.2.f.h.295.2', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 180143985128382553, 'target_is_minimal': False, 'target_label': '8281.2.a.bo.1.1', 'target_level': 8281, 'twist_class_label': '637.2.f.h.295.1', 'twist_class_level': 637, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46282855
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 295, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525541022532221, 'source_is_minimal': True, 'source_label': '637.2.f.h.295.2', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 207165582892605529, 'target_is_minimal': False, 'target_label': '8281.2.a.bu.1.3', 'target_level': 8281, 'twist_class_label': '637.2.f.h.295.1', 'twist_class_level': 637, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 46282856
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 295, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525541022532221, 'source_is_minimal': True, 'source_label': '637.2.f.h.295.2', 'source_level': 637, 'target_conrey_index': 471, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532877716226685, 'target_is_minimal': False, 'target_label': '637.2.h.j.471.3', 'target_level': 637, 'twist_class_label': '637.2.f.h.295.1', 'twist_class_level': 637, 'twisting_char_label': '91.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46282857
{'conductor': 91, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 295, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525541022532221, 'source_is_minimal': True, 'source_label': '637.2.f.h.295.2', 'source_level': 637, 'target_conrey_index': 263, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029209369379453, 'target_is_minimal': False, 'target_label': '637.2.g.i.263.1', 'target_level': 637, 'twist_class_label': '637.2.f.h.295.1', 'twist_class_level': 637, 'twisting_char_label': '91.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 46282858
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 295, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525541022532221, 'source_is_minimal': True, 'source_label': '637.2.f.h.295.2', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 207165582892605529, 'target_is_minimal': False, 'target_label': '8281.2.a.bu.1.4', 'target_level': 8281, 'twist_class_label': '637.2.f.h.295.1', 'twist_class_level': 637, 'twisting_char_label': '91.48', 'twisting_conrey_index': 48, 'weight': 2}
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id: 46282859
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 295, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525541022532221, 'source_is_minimal': True, 'source_label': '637.2.f.h.295.2', 'source_level': 637, 'target_conrey_index': 393, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525541022532221, 'target_is_minimal': True, 'target_label': '637.2.f.h.393.1', 'target_level': 637, 'twist_class_label': '637.2.f.h.295.1', 'twist_class_level': 637, 'twisting_char_label': '91.55', 'twisting_conrey_index': 55, 'weight': 2}
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id: 46282860
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 295, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525541022532221, 'source_is_minimal': True, 'source_label': '637.2.f.h.295.2', 'source_level': 637, 'target_conrey_index': 263, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029209369379453, 'target_is_minimal': False, 'target_label': '637.2.g.i.263.2', 'target_level': 637, 'twist_class_label': '637.2.f.h.295.1', 'twist_class_level': 637, 'twisting_char_label': '91.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 46282861
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 295, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525541022532221, 'source_is_minimal': True, 'source_label': '637.2.f.h.295.2', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 180143985128382553, 'target_is_minimal': False, 'target_label': '8281.2.a.bo.1.2', 'target_level': 8281, 'twist_class_label': '637.2.f.h.295.1', 'twist_class_level': 637, 'twisting_char_label': '91.69', 'twisting_conrey_index': 69, 'weight': 2}
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id: 46282862
{'conductor': 91, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 295, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525541022532221, 'source_is_minimal': True, 'source_label': '637.2.f.h.295.2', 'source_level': 637, 'target_conrey_index': 471, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532877716226685, 'target_is_minimal': False, 'target_label': '637.2.h.j.471.4', 'target_level': 637, 'twist_class_label': '637.2.f.h.295.1', 'twist_class_level': 637, 'twisting_char_label': '91.81', 'twisting_conrey_index': 81, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1147225
{'charpoly_factorization': [[[9, -3, 4, 1, 1], 2]], 'hecke_orbit_code': 31525541022532221, 'p': 2}
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id: 1147226
{'charpoly_factorization': [[[1521, 0, 507, 0, 130, 0, 13, 0, 1], 1]], 'hecke_orbit_code': 31525541022532221, 'p': 3}
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id: 1147227
{'charpoly_factorization': [[[39, 0, -13, 0, 1], 2]], 'hecke_orbit_code': 31525541022532221, 'p': 5}
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id: 1147228
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 31525541022532221, 'p': 7}
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id: 1147229
{'charpoly_factorization': [[[841, 29, 30, -1, 1], 2]], 'hecke_orbit_code': 31525541022532221, 'p': 11}
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id: 1147230
{'charpoly_factorization': [[[28561, 0, 0, 0, 13, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 31525541022532221, 'p': 13}
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id: 1147231
{'charpoly_factorization': [[[1521, 0, 2028, 0, 2665, 0, 52, 0, 1], 1]], 'hecke_orbit_code': 31525541022532221, 'p': 17}
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id: 1147232
{'charpoly_factorization': [[[1521, 0, 507, 0, 130, 0, 13, 0, 1], 1]], 'hecke_orbit_code': 31525541022532221, 'p': 19}
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id: 1147233
{'charpoly_factorization': [[[16, -24, 40, 6, 1], 2]], 'hecke_orbit_code': 31525541022532221, 'p': 23}
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id: 1147234
{'charpoly_factorization': [[[9, 3, 4, -1, 1], 2]], 'hecke_orbit_code': 31525541022532221, 'p': 29}
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id: 1147235
{'charpoly_factorization': [[[39, 0, -52, 0, 1], 2]], 'hecke_orbit_code': 31525541022532221, 'p': 31}
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id: 1147236
{'charpoly_factorization': [[[144, 120, 88, 10, 1], 2]], 'hecke_orbit_code': 31525541022532221, 'p': 37}
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id: 1147237
{'charpoly_factorization': [[[31539456, 0, 876096, 0, 18720, 0, 156, 0, 1], 1]], 'hecke_orbit_code': 31525541022532221, 'p': 41}
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id: 1147238
{'charpoly_factorization': [[[4761, 483, 118, -7, 1], 2]], 'hecke_orbit_code': 31525541022532221, 'p': 43}
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id: 1147239
{'charpoly_factorization': [[[351, 0, -156, 0, 1], 2]], 'hecke_orbit_code': 31525541022532221, 'p': 47}
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id: 1147240
{'charpoly_factorization': [[[23, -12, 1], 4]], 'hecke_orbit_code': 31525541022532221, 'p': 53}
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id: 1147241
{'charpoly_factorization': [[[123201, 0, 18252, 0, 2353, 0, 52, 0, 1], 1]], 'hecke_orbit_code': 31525541022532221, 'p': 59}
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id: 1147242
{'charpoly_factorization': [[[389376, 0, 32448, 0, 2080, 0, 52, 0, 1], 1]], 'hecke_orbit_code': 31525541022532221, 'p': 61}
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id: 1147243
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 31525541022532221, 'p': 67}
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id: 1147244
{'charpoly_factorization': [[[16, 4, 1], 4]], 'hecke_orbit_code': 31525541022532221, 'p': 71}
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id: 1147245
{'charpoly_factorization': [[[624, 0, -52, 0, 1], 2]], 'hecke_orbit_code': 31525541022532221, 'p': 73}
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id: 1147246
{'charpoly_factorization': [[[-4, 6, 1], 4]], 'hecke_orbit_code': 31525541022532221, 'p': 79}
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id: 1147247
{'charpoly_factorization': [[[351, 0, -52, 0, 1], 2]], 'hecke_orbit_code': 31525541022532221, 'p': 83}
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id: 1147248
{'charpoly_factorization': [[[9979281, 0, 369603, 0, 10530, 0, 117, 0, 1], 1]], 'hecke_orbit_code': 31525541022532221, 'p': 89}
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id: 1147249
{'charpoly_factorization': [[[127035441, 0, 2783937, 0, 49738, 0, 247, 0, 1], 1]], 'hecke_orbit_code': 31525541022532221, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 8, 'label': '637.2.f.h', 'level': 637, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 49946713
{'hecke_orbit_code': 31525541022532221, 'n': 1, 'trace_an': 8}
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id: 49946714
{'hecke_orbit_code': 31525541022532221, 'n': 2, 'trace_an': -2}
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id: 49946715
{'hecke_orbit_code': 31525541022532221, 'n': 3, 'trace_an': 0}
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id: 49946716
{'hecke_orbit_code': 31525541022532221, 'n': 4, 'trace_an': -6}
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id: 49946717
{'hecke_orbit_code': 31525541022532221, 'n': 5, 'trace_an': 0}
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id: 49946718
{'hecke_orbit_code': 31525541022532221, 'n': 6, 'trace_an': 0}
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id: 49946719
{'hecke_orbit_code': 31525541022532221, 'n': 7, 'trace_an': 0}
-
id: 49946720
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id: 49946921
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id: 49946922
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id: 49946923
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id: 49946924
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id: 49946925
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id: 49946926
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id: 49946927
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id: 49946928
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id: 49946929
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id: 49946930
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id: 49946931
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id: 49946932
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id: 49946933
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id: 49946934
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id: 49946935
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id: 49946936
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id: 49946937
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id: 49946938
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id: 49946939
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id: 49946940
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id: 49946941
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id: 49946942
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id: 49946943
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id: 49946944
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id: 49946945
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id: 49946946
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id: 49946947
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id: 49946948
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id: 49946949
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id: 49946950
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id: 49946951
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id: 49946958
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id: 49946959
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id: 49946960
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id: 49946961
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id: 49946962
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id: 49946963
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id: 49946964
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id: 49946965
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id: 49946966
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id: 49946967
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id: 49946968
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id: 49946969
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id: 49946970
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