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{'Nk2': 34200, 'analytic_conductor': 68.27209372819473, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, -1], [19, 1]], 'atkin_lehner_string': '+--+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8550, 1, [1901, 1027, 1351], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 148, 'field_disc_factorization': [[2, 2], [37, 1]], 'field_poly': [1, -3, -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': [[7, [16, -16, 0, 1]], [11, [32, -16, -4, 1]], [13, [8, -4, -6, 1]], [17, [-8, 20, 10, 1]], [23, [-8, -4, 6, 1]], [53, [-152, 12, 14, 1]]], 'hecke_orbit': 58, 'hecke_orbit_code': 256705178793681254, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], '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': '8550.2.a.cf', 'level': 8550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '570.2.d.d', 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+\\beta _{2}q^{7}-q^{8}+(1-\\beta _{1}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8550.2.a', 'trace_display': [-3, 0, 0, 0], 'trace_hash': 1320491072250236587, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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'label': '8550.2.a.cf.1.1', 'level': 8550, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [19, -1]], 9, 4], [[[2, -1], [3, 1], [5, 1], [19, -1]], 6, 3], [[[2, -1], [3, 1], [5, 1], [19, 1]], 7, 4], [[[2, 1], [3, 1], [5, -1], [19, -1]], 9, 2], [[[2, 1], [3, -1], [5, -1], [19, 1]], 10, 6], [[[2, 1], [3, 1], [5, -1], [19, 1]], 7, 2], [[[2, -1], [3, 1], [5, -1], [19, 1]], 7, 2], [[[2, 1], [3, 1], [5, 1], [19, 1]], 7, 4], [[[2, -1], [3, 1], [5, -1], [19, -1]], 9, 2], [[[2, 1], [3, 1], [5, 1], [19, -1]], 6, 3], [[[2, 1], [3, -1], [5, -1], [19, -1]], 12, 5], [[[2, 1], [3, -1], [5, 1], [19, -1]], 8, 7], [[[2, -1], [3, -1], [5, 1], [19, -1]], 13, 10], [[[2, 1], [3, -1], [5, 1], [19, 1]], 12, 8], [[[2, -1], [3, -1], [5, -1], [19, 1]], 13, 7], [[[2, -1], [3, -1], [5, 1], [19, 1]], 8, 7]], 'ALdims': [7, 6, 7, 9, 12, 8, 10, 12, 7, 6, 7, 9, 8, 13, 13, 9], 'Nk2': 34200, 'analytic_conductor': 68.27209372819473, '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': [8550, 1, [1901, 1027, 1351], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1753, 'dim': 143, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 23, 53], 'hecke_orbit_code': 33562982, '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, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6], 'label': '8550.2.a', 'level': 8550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 1848, 'mf_new_dim': 143, 'num_forms': 76, 'plus_dim': 64, 'prim_orbit_index': 1, 'relative_dim': 143, 'sturm_bound': 3600, 'trace_bound': 23, 'trace_display': [1, 0, 0, -2], 'traces': [143, 1, 0, 143, 0, 0, -2, 1, 0, 0, -12, 0, -2, -4, 0, 143, 4, 0, 1, 0, 0, -4, 6, 0, 0, -12, 0, -2, -18, 0, 12, 1, 0, -22, 0, 0, 34, 3, 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mf_twists_cc • Show schema
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id: 49086934
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793681254, 'source_is_minimal': False, 'source_label': '8550.2.a.cf.1.1', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 256705178793681254, 'target_is_minimal': False, 'target_label': '8550.2.a.cf.1.1', 'target_level': 8550, 'twist_class_label': '570.2.d.d.229.2', 'twist_class_level': 570, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49086935
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793681254, 'source_is_minimal': False, 'source_label': '8550.2.a.cf.1.1', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 175640385501006626, 'target_is_minimal': False, 'target_label': '2850.2.a.bn.1.1', 'target_level': 2850, 'twist_class_label': '570.2.d.d.229.2', 'twist_class_level': 570, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49086936
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793681254, 'source_is_minimal': False, 'source_label': '8550.2.a.cf.1.1', 'source_level': 8550, 'target_conrey_index': 1369, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014604701468334, 'target_is_minimal': False, 'target_label': '1710.2.d.e.1369.2', 'target_level': 1710, 'twist_class_label': '570.2.d.d.229.2', 'twist_class_level': 570, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49086937
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793681254, 'source_is_minimal': False, 'source_label': '8550.2.a.cf.1.1', 'source_level': 8550, 'target_conrey_index': 1369, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014604701468334, 'target_is_minimal': False, 'target_label': '1710.2.d.e.1369.5', 'target_level': 1710, 'twist_class_label': '570.2.d.d.229.2', 'twist_class_level': 570, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49086938
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793681254, 'source_is_minimal': False, 'source_label': '8550.2.a.cf.1.1', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 310748374322127206, 'target_is_minimal': False, 'target_label': '8550.2.a.cr.1.3', 'target_level': 8550, 'twist_class_label': '570.2.d.d.229.2', 'twist_class_level': 570, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49086939
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793681254, 'source_is_minimal': False, 'source_label': '8550.2.a.cf.1.1', 'source_level': 8550, 'target_conrey_index': 229, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13511005074096698, 'target_is_minimal': True, 'target_label': '570.2.d.d.229.5', 'target_level': 570, 'twist_class_label': '570.2.d.d.229.2', 'twist_class_level': 570, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49086940
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793681254, 'source_is_minimal': False, 'source_label': '8550.2.a.cf.1.1', 'source_level': 8550, 'target_conrey_index': 229, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511005074096698, 'target_is_minimal': True, 'target_label': '570.2.d.d.229.2', 'target_level': 570, 'twist_class_label': '570.2.d.d.229.2', 'twist_class_level': 570, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 49086941
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793681254, 'source_is_minimal': False, 'source_label': '8550.2.a.cf.1.1', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 162129586618895138, 'target_is_minimal': False, 'target_label': '2850.2.a.bk.1.3', 'target_level': 2850, 'twist_class_label': '570.2.d.d.229.2', 'twist_class_level': 570, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4780275
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 256705178793681254, 'p': 2}
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id: 4780276
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 256705178793681254, 'p': 3}
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id: 4780277
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 256705178793681254, 'p': 5}
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id: 4780278
{'charpoly_factorization': [[[16, -16, 0, 1], 1]], 'hecke_orbit_code': 256705178793681254, 'p': 7}
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id: 4780279
{'charpoly_factorization': [[[32, -16, -4, 1], 1]], 'hecke_orbit_code': 256705178793681254, 'p': 11}
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id: 4780280
{'charpoly_factorization': [[[8, -4, -6, 1], 1]], 'hecke_orbit_code': 256705178793681254, 'p': 13}
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id: 4780281
{'charpoly_factorization': [[[-8, 20, 10, 1], 1]], 'hecke_orbit_code': 256705178793681254, 'p': 17}
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id: 4780282
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 256705178793681254, 'p': 19}
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id: 4780283
{'charpoly_factorization': [[[-8, -4, 6, 1], 1]], 'hecke_orbit_code': 256705178793681254, 'p': 23}
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id: 4780284
{'charpoly_factorization': [[[-40, 12, 10, 1], 1]], 'hecke_orbit_code': 256705178793681254, 'p': 29}
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id: 4780285
{'charpoly_factorization': [[[152, 28, -14, 1], 1]], 'hecke_orbit_code': 256705178793681254, 'p': 31}
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id: 4780286
{'charpoly_factorization': [[[-232, -84, -2, 1], 1]], 'hecke_orbit_code': 256705178793681254, 'p': 37}
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id: 4780287
{'charpoly_factorization': [[[16, -16, 0, 1], 1]], 'hecke_orbit_code': 256705178793681254, 'p': 41}
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id: 4780288
{'charpoly_factorization': [[[-8, -4, 10, 1], 1]], 'hecke_orbit_code': 256705178793681254, 'p': 43}
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id: 4780289
{'charpoly_factorization': [[[184, -52, -2, 1], 1]], 'hecke_orbit_code': 256705178793681254, 'p': 47}
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id: 4780290
{'charpoly_factorization': [[[-152, 12, 14, 1], 1]], 'hecke_orbit_code': 256705178793681254, 'p': 53}
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id: 4780291
{'charpoly_factorization': [[[40, 52, 14, 1], 1]], 'hecke_orbit_code': 256705178793681254, 'p': 59}
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id: 4780292
{'charpoly_factorization': [[[-2, 1], 3]], 'hecke_orbit_code': 256705178793681254, 'p': 61}
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id: 4780293
{'charpoly_factorization': [[[-128, -32, 8, 1], 1]], 'hecke_orbit_code': 256705178793681254, 'p': 67}
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id: 4780294
{'charpoly_factorization': [[[64, -80, -4, 1], 1]], 'hecke_orbit_code': 256705178793681254, 'p': 71}
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id: 4780295
{'charpoly_factorization': [[[-256, -64, 8, 1], 1]], 'hecke_orbit_code': 256705178793681254, 'p': 73}
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id: 4780296
{'charpoly_factorization': [[[-200, 124, -22, 1], 1]], 'hecke_orbit_code': 256705178793681254, 'p': 79}
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id: 4780297
{'charpoly_factorization': [[[-16, -120, 0, 1], 1]], 'hecke_orbit_code': 256705178793681254, 'p': 83}
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id: 4780298
{'charpoly_factorization': [[[80, -48, 4, 1], 1]], 'hecke_orbit_code': 256705178793681254, 'p': 89}
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id: 4780299
{'charpoly_factorization': [[[-216, -180, 6, 1], 1]], 'hecke_orbit_code': 256705178793681254, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 58, 'label': '8550.2.a.cf', 'level': 8550, 'portrait': 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'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 279054000
{'hecke_orbit_code': 256705178793681254, 'n': 1, 'trace_an': 3}
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id: 279054001
{'hecke_orbit_code': 256705178793681254, 'n': 2, 'trace_an': -3}
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id: 279054002
{'hecke_orbit_code': 256705178793681254, 'n': 3, 'trace_an': 0}
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id: 279054003
{'hecke_orbit_code': 256705178793681254, 'n': 4, 'trace_an': 3}
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id: 279054004
{'hecke_orbit_code': 256705178793681254, 'n': 5, 'trace_an': 0}
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id: 279054005
{'hecke_orbit_code': 256705178793681254, 'n': 6, 'trace_an': 0}
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id: 279054006
{'hecke_orbit_code': 256705178793681254, 'n': 7, 'trace_an': 0}
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id: 279054007
{'hecke_orbit_code': 256705178793681254, 'n': 8, 'trace_an': -3}
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id: 279054008
{'hecke_orbit_code': 256705178793681254, 'n': 9, 'trace_an': 0}
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id: 279054009
{'hecke_orbit_code': 256705178793681254, 'n': 10, 'trace_an': 0}
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id: 279054010
{'hecke_orbit_code': 256705178793681254, 'n': 11, 'trace_an': 4}
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id: 279054011
{'hecke_orbit_code': 256705178793681254, 'n': 12, 'trace_an': 0}
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id: 279054012
{'hecke_orbit_code': 256705178793681254, 'n': 13, 'trace_an': 6}
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id: 279054013
{'hecke_orbit_code': 256705178793681254, 'n': 14, 'trace_an': 0}
-
id: 279054014
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{'hecke_orbit_code': 256705178793681254, 'n': 982, 'trace_an': -40}
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id: 279054982
{'hecke_orbit_code': 256705178793681254, 'n': 983, 'trace_an': 64}
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id: 279054983
{'hecke_orbit_code': 256705178793681254, 'n': 984, 'trace_an': 0}
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id: 279054984
{'hecke_orbit_code': 256705178793681254, 'n': 985, 'trace_an': 0}
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id: 279054985
{'hecke_orbit_code': 256705178793681254, 'n': 986, 'trace_an': -52}
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id: 279054986
{'hecke_orbit_code': 256705178793681254, 'n': 987, 'trace_an': 0}
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id: 279054987
{'hecke_orbit_code': 256705178793681254, 'n': 988, 'trace_an': -6}
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id: 279054988
{'hecke_orbit_code': 256705178793681254, 'n': 989, 'trace_an': -20}
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id: 279054989
{'hecke_orbit_code': 256705178793681254, 'n': 990, 'trace_an': 0}
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id: 279054990
{'hecke_orbit_code': 256705178793681254, 'n': 991, 'trace_an': -74}
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id: 279054991
{'hecke_orbit_code': 256705178793681254, 'n': 992, 'trace_an': -14}
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id: 279054992
{'hecke_orbit_code': 256705178793681254, 'n': 993, 'trace_an': 0}
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id: 279054993
{'hecke_orbit_code': 256705178793681254, 'n': 994, 'trace_an': -48}
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id: 279054994
{'hecke_orbit_code': 256705178793681254, 'n': 995, 'trace_an': 0}
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id: 279054995
{'hecke_orbit_code': 256705178793681254, 'n': 996, 'trace_an': 0}
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id: 279054996
{'hecke_orbit_code': 256705178793681254, 'n': 997, 'trace_an': 10}
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id: 279054997
{'hecke_orbit_code': 256705178793681254, 'n': 998, 'trace_an': 20}
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id: 279054998
{'hecke_orbit_code': 256705178793681254, 'n': 999, 'trace_an': 0}
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id: 279054999
{'hecke_orbit_code': 256705178793681254, 'n': 1000, 'trace_an': 0}