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mf_newforms • Show schema
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{'Nk2': 2001, 'analytic_conductor': 0.9986290902786378, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 2001, 'char_degree': 12, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 32, 'char_orbit_label': 'bf', 'char_order': 28, 'char_parity': -1, 'char_values': [2001, 28, [668, 1132, 553], [14, 14, 23]], 'cm_discs': [-23], 'conrey_index': 68, 'conrey_indexes': [68, 137, 206, 275, 482, 620, 827, 896, 965, 1034, 1448, 1655], 'dim': 12, 'field_disc': 1157018619904, 'field_disc_factorization': [[2, 12], [7, 10]], 'field_poly': [1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 28, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -8, 11, 28, -23, -12, 41, -34, 31, -14, 9, -2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4505729947928529, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2001, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.9986290902786378, 'char_conductor': 2001, 'char_degree': 12, 'char_is_real': False, 'char_orbit_index': 32, 'char_orbit_label': 'bf', 'char_order': 28, 'char_parity': -1, 'char_values': [2001, 28, [668, 1132, 553], [14, 14, 23]], 'conrey_index': 68, 'cusp_dim': 72, 'dihedral_dim': 72, 'dim': 72, 'eis_dim': 48, 'eis_new_dim': 48, 'hecke_orbit_code': 2130320558033, 'hecke_orbit_dims': [12, 12, 24, 24], 'label': '2001.1.bf', 'level': 2001, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 23, 29], 'level_radical': 2001, 'mf_dim': 120, 'mf_new_dim': 120, 'num_forms': 4, 'prim_orbit_index': 32, 'relative_dim': 6, 's4_dim': 0, 'sturm_bound': 240, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 12, 0, 6, 0, 0, 0, 0, 0, -12, -12, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 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0, 0, -24, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 1, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 38822742
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1655, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505729947928529, 'source_is_minimal': True, 'source_label': '2001.1.bf.b.1655.1', 'source_level': 2001, 'target_conrey_index': 1655, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505729947928529, 'target_is_minimal': True, 'target_label': '2001.1.bf.b.1655.1', 'target_level': 2001, 'twist_class_label': '2001.1.bf.a.827.1', 'twist_class_level': 2001, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 38822743
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1655, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505729947928529, 'source_is_minimal': True, 'source_label': '2001.1.bf.b.1655.1', 'source_level': 2001, 'target_conrey_index': 1655, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2130320558033, 'target_is_minimal': True, 'target_label': '2001.1.bf.a.1655.1', 'target_level': 2001, 'twist_class_label': '2001.1.bf.a.827.1', 'twist_class_level': 2001, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 38822744
{'conductor': 23, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1655, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505729947928529, 'source_is_minimal': True, 'source_label': '2001.1.bf.b.1655.1', 'source_level': 2001, 'target_conrey_index': 1655, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505729947928529, 'target_is_minimal': True, 'target_label': '2001.1.bf.b.1655.1', 'target_level': 2001, 'twist_class_label': '2001.1.bf.a.827.1', 'twist_class_level': 2001, 'twisting_char_label': '23.22', 'twisting_conrey_index': 22, 'weight': 1}
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id: 38822745
{'conductor': 29, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 1655, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505729947928529, 'source_is_minimal': True, 'source_label': '2001.1.bf.b.1655.1', 'source_level': 2001, 'target_conrey_index': 827, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2130320558033, 'target_is_minimal': True, 'target_label': '2001.1.bf.a.827.1', 'target_level': 2001, 'twist_class_label': '2001.1.bf.a.827.1', 'twist_class_level': 2001, 'twisting_char_label': '29.15', 'twisting_conrey_index': 15, 'weight': 1}
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id: 38822746
{'conductor': 69, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1655, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505729947928529, 'source_is_minimal': True, 'source_label': '2001.1.bf.b.1655.1', 'source_level': 2001, 'target_conrey_index': 1655, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2130320558033, 'target_is_minimal': True, 'target_label': '2001.1.bf.a.1655.1', 'target_level': 2001, 'twist_class_label': '2001.1.bf.a.827.1', 'twist_class_level': 2001, 'twisting_char_label': '69.68', 'twisting_conrey_index': 68, 'weight': 1}
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id: 38822747
{'conductor': 87, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 1655, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505729947928529, 'source_is_minimal': True, 'source_label': '2001.1.bf.b.1655.1', 'source_level': 2001, 'target_conrey_index': 827, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505729947928529, 'target_is_minimal': True, 'target_label': '2001.1.bf.b.827.1', 'target_level': 2001, 'twist_class_label': '2001.1.bf.a.827.1', 'twist_class_level': 2001, 'twisting_char_label': '87.44', 'twisting_conrey_index': 44, 'weight': 1}
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id: 38822748
{'conductor': 667, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 1655, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505729947928529, 'source_is_minimal': True, 'source_label': '2001.1.bf.b.1655.1', 'source_level': 2001, 'target_conrey_index': 827, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2130320558033, 'target_is_minimal': True, 'target_label': '2001.1.bf.a.827.1', 'target_level': 2001, 'twist_class_label': '2001.1.bf.a.827.1', 'twist_class_level': 2001, 'twisting_char_label': '667.160', 'twisting_conrey_index': 160, 'weight': 1}
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id: 38822749
{'conductor': 2001, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 1655, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4505729947928529, 'source_is_minimal': True, 'source_label': '2001.1.bf.b.1655.1', 'source_level': 2001, 'target_conrey_index': 827, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505729947928529, 'target_is_minimal': True, 'target_label': '2001.1.bf.b.827.1', 'target_level': 2001, 'twist_class_label': '2001.1.bf.a.827.1', 'twist_class_level': 2001, 'twisting_char_label': '2001.827', 'twisting_conrey_index': 827, 'weight': 1}
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mf_hecke_charpolys • Show schema
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id: 2358200
{'charpoly_factorization': [[[1, -8, 11, 28, -23, -12, 41, -34, 31, -14, 9, -2, 1], 1]], 'hecke_orbit_code': 4505729947928529, 'p': 2}
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id: 2358201
{'charpoly_factorization': [[[1, 1, 1, 1, 1, 1, 1], 2]], 'hecke_orbit_code': 4505729947928529, 'p': 3}
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id: 2358202
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4505729947928529, 'p': 5}
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id: 2358203
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4505729947928529, 'p': 7}
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id: 2358204
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4505729947928529, 'p': 11}
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id: 2358205
{'charpoly_factorization': [[[1, 0, -2, 0, 25, 0, 6, 0, 2, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 4505729947928529, 'p': 13}
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id: 2358206
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4505729947928529, 'p': 17}
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id: 2358207
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4505729947928529, 'p': 19}
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id: 2358208
{'charpoly_factorization': [[[1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 4505729947928529, 'p': 23}
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id: 2358209
{'charpoly_factorization': [[[1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 4505729947928529, 'p': 29}
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id: 2358210
{'charpoly_factorization': [[[64, -64, 32, 0, -16, 16, -8, 8, -4, 0, 2, -2, 1], 1]], 'hecke_orbit_code': 4505729947928529, 'p': 31}
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id: 2358211
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4505729947928529, 'p': 37}
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id: 2358212
{'charpoly_factorization': [[[1, 8, 32, 42, 26, -2, 34, 34, 17, 0, 2, 2, 1], 1]], 'hecke_orbit_code': 4505729947928529, 'p': 41}
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id: 2358213
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4505729947928529, 'p': 43}
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id: 2358214
{'charpoly_factorization': [[[1, 6, 11, -14, 26, -68, 55, -20, 24, -14, 2, -2, 1], 1]], 'hecke_orbit_code': 4505729947928529, 'p': 47}
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id: 2358215
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4505729947928529, 'p': 53}
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id: 2358216
{'charpoly_factorization': [[[1, 0, 6, 0, 5, 0, 1], 2]], 'hecke_orbit_code': 4505729947928529, 'p': 59}
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id: 2358217
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4505729947928529, 'p': 61}
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id: 2358218
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4505729947928529, 'p': 67}
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id: 2358219
{'charpoly_factorization': [[[49, 0, 98, 0, 49, 0, -14, 0, 14, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4505729947928529, 'p': 71}
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id: 2358220
{'charpoly_factorization': [[[1, 6, 32, 70, 61, 2, -8, 8, -4, 0, 2, -2, 1], 1]], 'hecke_orbit_code': 4505729947928529, 'p': 73}
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id: 2358221
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4505729947928529, 'p': 79}
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id: 2358222
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4505729947928529, 'p': 83}
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id: 2358223
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4505729947928529, 'p': 89}
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id: 2358224
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4505729947928529, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 32, 'hecke_orbit': 2, 'label': '2001.1.bf.b', 'level': 2001, 'portrait': 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', 'weight': 1}
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mf_hecke_traces • Show schema
Hide schema
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id: 97773000
{'hecke_orbit_code': 4505729947928529, 'n': 1, 'trace_an': 12}
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id: 97773001
{'hecke_orbit_code': 4505729947928529, 'n': 2, 'trace_an': 2}
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id: 97773002
{'hecke_orbit_code': 4505729947928529, 'n': 3, 'trace_an': -2}
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id: 97773003
{'hecke_orbit_code': 4505729947928529, 'n': 4, 'trace_an': -14}
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id: 97773004
{'hecke_orbit_code': 4505729947928529, 'n': 5, 'trace_an': 0}
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id: 97773005
{'hecke_orbit_code': 4505729947928529, 'n': 6, 'trace_an': 2}
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id: 97773006
{'hecke_orbit_code': 4505729947928529, 'n': 7, 'trace_an': 0}
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id: 97773007
{'hecke_orbit_code': 4505729947928529, 'n': 8, 'trace_an': 0}
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id: 97773008
{'hecke_orbit_code': 4505729947928529, 'n': 9, 'trace_an': -2}
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id: 97773009
{'hecke_orbit_code': 4505729947928529, 'n': 10, 'trace_an': 0}
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id: 97773010
{'hecke_orbit_code': 4505729947928529, 'n': 11, 'trace_an': 0}
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id: 97773011
{'hecke_orbit_code': 4505729947928529, 'n': 12, 'trace_an': 0}
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id: 97773012
{'hecke_orbit_code': 4505729947928529, 'n': 13, 'trace_an': 0}
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id: 97773013
{'hecke_orbit_code': 4505729947928529, 'n': 14, 'trace_an': 0}
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id: 97773014
{'hecke_orbit_code': 4505729947928529, 'n': 15, 'trace_an': 0}
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id: 97773015
{'hecke_orbit_code': 4505729947928529, 'n': 16, 'trace_an': 12}
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id: 97773016
{'hecke_orbit_code': 4505729947928529, 'n': 17, 'trace_an': 0}
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id: 97773017
{'hecke_orbit_code': 4505729947928529, 'n': 18, 'trace_an': 2}
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id: 97773018
{'hecke_orbit_code': 4505729947928529, 'n': 19, 'trace_an': 0}
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id: 97773019
{'hecke_orbit_code': 4505729947928529, 'n': 20, 'trace_an': 0}
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id: 97773020
{'hecke_orbit_code': 4505729947928529, 'n': 21, 'trace_an': 0}
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id: 97773021
{'hecke_orbit_code': 4505729947928529, 'n': 22, 'trace_an': 0}
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id: 97773022
{'hecke_orbit_code': 4505729947928529, 'n': 23, 'trace_an': 0}
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id: 97773023
{'hecke_orbit_code': 4505729947928529, 'n': 24, 'trace_an': 0}
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id: 97773024
{'hecke_orbit_code': 4505729947928529, 'n': 25, 'trace_an': -2}
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id: 97773025
{'hecke_orbit_code': 4505729947928529, 'n': 26, 'trace_an': 4}
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id: 97773026
{'hecke_orbit_code': 4505729947928529, 'n': 27, 'trace_an': -2}
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id: 97773027
{'hecke_orbit_code': 4505729947928529, 'n': 28, 'trace_an': 0}
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id: 97773028
{'hecke_orbit_code': 4505729947928529, 'n': 29, 'trace_an': 0}
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id: 97773029
{'hecke_orbit_code': 4505729947928529, 'n': 30, 'trace_an': 0}
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id: 97773030
{'hecke_orbit_code': 4505729947928529, 'n': 31, 'trace_an': 2}
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id: 97773031
{'hecke_orbit_code': 4505729947928529, 'n': 32, 'trace_an': 2}
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id: 97773032
{'hecke_orbit_code': 4505729947928529, 'n': 33, 'trace_an': 0}
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id: 97773033
{'hecke_orbit_code': 4505729947928529, 'n': 34, 'trace_an': 0}
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id: 97773034
{'hecke_orbit_code': 4505729947928529, 'n': 35, 'trace_an': 0}
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id: 97773035
{'hecke_orbit_code': 4505729947928529, 'n': 36, 'trace_an': 0}
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id: 97773036
{'hecke_orbit_code': 4505729947928529, 'n': 37, 'trace_an': 0}
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id: 97773037
{'hecke_orbit_code': 4505729947928529, 'n': 38, 'trace_an': 0}
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id: 97773038
{'hecke_orbit_code': 4505729947928529, 'n': 39, 'trace_an': 0}
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id: 97773039
{'hecke_orbit_code': 4505729947928529, 'n': 40, 'trace_an': 0}
-
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