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{'Nk2': 6080, 'analytic_conductor': 12.137261107234618, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [19, -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': [1520, 1, [191, 1141, 1217, 401], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 568, 'field_disc_factorization': [[2, 3], [71, 1]], 'field_poly': [-2, -6, -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, [-2, -6, -1, 1]], [7, [8, 0, -5, 1]]], 'hecke_orbit': 18, 'hecke_orbit_code': 76561193698854384, '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': '1520.2.a.r', 'level': 1520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'minimal_twist': '760.2.a.h', 'nf_label': '3.3.568.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{3}-q^{5}+(2+\\beta _{2})q^{7}+(1+2\\beta _{1}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1520.2.a', 'trace_display': [0, 1, -3, 5], 'trace_hash': 879399885826807819, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.033', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.908', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.340', 'prec': 17}, {'__RealLiteral__': 0, 'data': '23.279', 'prec': 20}, {'__RealLiteral__': 0, 'data': '5.793', 'prec': 17}, {'__RealLiteral__': 0, 'data': '285.889', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, 'traces': [3, 0, 1, 0, -3, 0, 5, 0, 4, 0, 4, 0, 5, 0, -1, 0, -11, 0, 3, 0, -3, 0, 9, 0, 3, 0, 19, 0, 3, 0, 14, 0, -24, 0, -5, 0, 14, 0, 5, 0, -10, 0, 10, 0, -4, 0, 0, 0, 4, 0, 1, 0, -7, 0, -4, 0, 1, 0, 7, 0, 20, 0, 14, 0, -5, 0, 1, 0, 33, 0, 8, 0, -13, 0, 1, 0, 16, 0, -14, 0, 15, 0, 26, 0, 11, 0, 15, 0, 18, 0, 37, 0, 14, 0, -3, 0, -6, 0, -36, 0, -4, 0, 8, 0, 3, 0, -1, 0, -11, 0, 22, 0, -28, 0, -9, 0, 42, 0, -35, 0, 23, 0, -38, 0, -3, 0, -2, 0, 10, 0, 12, 0, 5, 0, -19, 0, -23, 0, 0, 0, -16, 0, 0, 0, -3, 0, -38, 0, -4, 0, -26, 0, -22, 0, -14, 0, 30, 0, 1, 0, -11, 0, 18, 0, 24, 0, 26, 0, 30, 0, 4, 0, -22, 0, 5, 0, 7, 0, -8, 0, 66, 0, -44, 0, -14, 0, -24, 0, 39, 0, 11, 0, -6, 0, -5, 0, -6, 0, -5, 0, -19, 0, -45, 0, 10, 0, 46, 0, 4, 0, -13, 0, -48, 0, -10, 0, -10, 0, -41, 0, -47, 0, 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{'AL_dims': [[[[2, 1], [5, 1], [19, -1]], 5, 2], [[[2, -1], [5, -1], [19, -1]], 7, 3], [[[2, 1], [5, -1], [19, -1]], 4, 4], [[[2, 1], [5, -1], [19, 1]], 4, 2], [[[2, 1], [5, 1], [19, 1]], 5, 2], [[[2, -1], [5, -1], [19, 1]], 3, 2], [[[2, -1], [5, 1], [19, 1]], 6, 3], [[[2, -1], [5, 1], [19, -1]], 2, 2]], 'ALdims': [5, 5, 4, 4, 6, 2, 3, 7], 'Nk2': 6080, 'analytic_conductor': 12.137261107234618, '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': [1520, 1, [191, 1141, 1217, 401], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 229, 'dim': 36, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 33555952, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4], 'label': '1520.2.a', 'level': 1520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 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mf_twists_cc • Show schema
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id: 48085229
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698854384, 'source_is_minimal': False, 'source_label': '1520.2.a.r.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561193698854384, 'target_is_minimal': False, 'target_label': '1520.2.a.r.1.2', 'target_level': 1520, 'twist_class_label': '760.2.a.h.1.2', 'twist_class_level': 760, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48085230
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698854384, 'source_is_minimal': False, 'source_label': '1520.2.a.r.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197425148664, 'target_is_minimal': True, 'target_label': '760.2.a.h.1.2', 'target_level': 760, 'twist_class_label': '760.2.a.h.1.2', 'twist_class_level': 760, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48085231
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698854384, 'source_is_minimal': False, 'source_label': '1520.2.a.r.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 180143985128381872, 'target_is_minimal': False, 'target_label': '7600.2.a.bo.1.2', 'target_level': 7600, 'twist_class_label': '760.2.a.h.1.2', 'twist_class_level': 760, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48085232
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698854384, 'source_is_minimal': False, 'source_label': '1520.2.a.r.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 216172782147344320, 'target_is_minimal': False, 'target_label': '6080.2.a.bw.1.2', 'target_level': 6080, 'twist_class_label': '760.2.a.h.1.2', 'twist_class_level': 760, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48085233
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698854384, 'source_is_minimal': False, 'source_label': '1520.2.a.r.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 198158383637862336, 'target_is_minimal': False, 'target_label': '6080.2.a.bs.1.2', 'target_level': 6080, 'twist_class_label': '760.2.a.h.1.2', 'twist_class_level': 760, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48085234
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698854384, 'source_is_minimal': False, 'source_label': '1520.2.a.r.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 157625986991528632, 'target_is_minimal': False, 'target_label': '6840.2.a.bj.1.3', 'target_level': 6840, 'twist_class_label': '760.2.a.h.1.2', 'twist_class_level': 760, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48085235
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698854384, 'source_is_minimal': False, 'source_label': '1520.2.a.r.1.2', 'source_level': 1520, 'target_conrey_index': 3649, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45036202465693400, 'target_is_minimal': False, 'target_label': '3800.2.d.k.3649.4', 'target_level': 3800, 'twist_class_label': '760.2.a.h.1.2', 'twist_class_level': 760, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48085236
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698854384, 'source_is_minimal': False, 'source_label': '1520.2.a.r.1.2', 'source_level': 1520, 'target_conrey_index': 3649, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45036202465693400, 'target_is_minimal': False, 'target_label': '3800.2.d.k.3649.3', 'target_level': 3800, 'twist_class_label': '760.2.a.h.1.2', 'twist_class_level': 760, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48085237
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698854384, 'source_is_minimal': False, 'source_label': '1520.2.a.r.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 108086391090450136, 'target_is_minimal': False, 'target_label': '3800.2.a.y.1.2', 'target_level': 3800, 'twist_class_label': '760.2.a.h.1.2', 'twist_class_level': 760, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2007250
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 76561193698854384, 'p': 2}
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id: 2007251
{'charpoly_factorization': [[[-2, -6, -1, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 3}
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id: 2007252
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 76561193698854384, 'p': 5}
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id: 2007253
{'charpoly_factorization': [[[8, 0, -5, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 7}
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id: 2007254
{'charpoly_factorization': [[[64, -20, -4, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 11}
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id: 2007255
{'charpoly_factorization': [[[106, -22, -5, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 13}
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id: 2007256
{'charpoly_factorization': [[[20, 32, 11, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 17}
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id: 2007257
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 76561193698854384, 'p': 19}
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id: 2007258
{'charpoly_factorization': [[[160, -16, -9, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 23}
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id: 2007259
{'charpoly_factorization': [[[108, -72, -3, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 29}
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id: 2007260
{'charpoly_factorization': [[[64, 32, -14, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 31}
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id: 2007261
{'charpoly_factorization': [[[20, 46, -14, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 37}
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id: 2007262
{'charpoly_factorization': [[[-472, -44, 10, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 41}
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id: 2007263
{'charpoly_factorization': [[[848, -88, -10, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 43}
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id: 2007264
{'charpoly_factorization': [[[-64, -40, 0, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 47}
-
id: 2007265
{'charpoly_factorization': [[[2, -14, 7, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 53}
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id: 2007266
{'charpoly_factorization': [[[8, 8, -7, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 59}
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id: 2007267
{'charpoly_factorization': [[[640, 32, -20, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 61}
-
id: 2007268
{'charpoly_factorization': [[[-530, -134, -1, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 67}
-
id: 2007269
{'charpoly_factorization': [[[512, -80, -8, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 71}
-
id: 2007270
{'charpoly_factorization': [[[-500, -64, 13, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 73}
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id: 2007271
{'charpoly_factorization': [[[16, -56, 14, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 79}
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id: 2007272
{'charpoly_factorization': [[[-352, 192, -26, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 83}
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id: 2007273
{'charpoly_factorization': [[[-40, 68, -18, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 89}
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id: 2007274
{'charpoly_factorization': [[[-2308, -274, 6, 1], 1]], 'hecke_orbit_code': 76561193698854384, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 18, 'label': '1520.2.a.r', 'level': 1520, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 240763000
{'hecke_orbit_code': 76561193698854384, 'n': 1, 'trace_an': 3}
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id: 240763001
{'hecke_orbit_code': 76561193698854384, 'n': 2, 'trace_an': 0}
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id: 240763002
{'hecke_orbit_code': 76561193698854384, 'n': 3, 'trace_an': 1}
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id: 240763003
{'hecke_orbit_code': 76561193698854384, 'n': 4, 'trace_an': 0}
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id: 240763004
{'hecke_orbit_code': 76561193698854384, 'n': 5, 'trace_an': -3}
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id: 240763005
{'hecke_orbit_code': 76561193698854384, 'n': 6, 'trace_an': 0}
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id: 240763006
{'hecke_orbit_code': 76561193698854384, 'n': 7, 'trace_an': 5}
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id: 240763007
{'hecke_orbit_code': 76561193698854384, 'n': 8, 'trace_an': 0}
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id: 240763008
{'hecke_orbit_code': 76561193698854384, 'n': 9, 'trace_an': 4}
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id: 240763009
{'hecke_orbit_code': 76561193698854384, 'n': 10, 'trace_an': 0}
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id: 240763010
{'hecke_orbit_code': 76561193698854384, 'n': 11, 'trace_an': 4}
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id: 240763011
{'hecke_orbit_code': 76561193698854384, 'n': 12, 'trace_an': 0}
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id: 240763012
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{'hecke_orbit_code': 76561193698854384, 'n': 975, 'trace_an': 5}
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id: 240763975
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id: 240763976
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id: 240763977
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id: 240763978
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id: 240763979
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id: 240763980
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id: 240763981
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id: 240763982
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id: 240763983
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id: 240763984
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id: 240763985
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id: 240763986
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id: 240763987
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id: 240763988
{'hecke_orbit_code': 76561193698854384, 'n': 989, 'trace_an': -14}
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id: 240763989
{'hecke_orbit_code': 76561193698854384, 'n': 990, 'trace_an': 0}
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id: 240763990
{'hecke_orbit_code': 76561193698854384, 'n': 991, 'trace_an': 30}
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id: 240763991
{'hecke_orbit_code': 76561193698854384, 'n': 992, 'trace_an': 0}
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id: 240763992
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id: 240763993
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id: 240763994
{'hecke_orbit_code': 76561193698854384, 'n': 995, 'trace_an': 5}
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id: 240763995
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id: 240763996
{'hecke_orbit_code': 76561193698854384, 'n': 997, 'trace_an': 90}
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id: 240763997
{'hecke_orbit_code': 76561193698854384, 'n': 998, 'trace_an': 0}
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id: 240763998
{'hecke_orbit_code': 76561193698854384, 'n': 999, 'trace_an': 102}
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id: 240763999
{'hecke_orbit_code': 76561193698854384, 'n': 1000, 'trace_an': 0}