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mf_newforms • Show schema
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{'Nk2': 396, 'analytic_conductor': 0.7905189800106758, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [99, 3, [56, 46], [2, 3]], 'cm_discs': [], 'conrey_index': 34, 'dim': 8, 'field_disc': 508277025, 'field_disc_factorization': [[3, 6], [5, 2], [167, 2]], 'field_poly': [19, 3, -22, 3, 21, -15, 5, -3, 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, [169, -104, 181, 46, 76, 7, 10, 1, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014673420943459, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '99.2.e.e', 'level': 99, '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': [3, 11], 'level_radical': 33, 'minimal_twist': '99.2.e.e', 'nf_label': '8.0.508277025.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta _{2}-\\beta _{7})q^{2}+(1+\\beta _{7})q^{3}+(-2+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '99.2.e', 'trace_display': [-1, 5, -4, -1], 'trace_hash': 24653090855839352, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.035', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.451', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.599', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 396, 'analytic_conductor': 0.7905189800106758, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [99, 3, [56, 46], [2, 3]], 'conrey_index': 34, 'cusp_dim': 20, 'dim': 20, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461475, 'hecke_orbit_dims': [2, 2, 2, 6, 8], 'label': '99.2.e', 'level': 99, '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': [3, 11], 'level_radical': 33, 'mf_dim': 28, 'mf_new_dim': 20, 'num_forms': 5, 'prim_orbit_index': 3, 'relative_dim': 10, 'sturm_bound': 24, 'trace_bound': 2, 'trace_display': [0, -1, -3, -2], 'traces': [20, 0, -1, -10, -3, 2, -2, -12, -5, 0, -4, -2, -2, 6, 8, -10, -12, 4, 4, 6, -4, 0, -6, 18, -7, 48, -22, 16, 12, -22, -5, 12, 2, -12, 0, 26, -2, -30, -40, 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mf_twists_cc • Show schema
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id: 44275593
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 67, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 18014673420943459, 'source_is_minimal': True, 'source_label': '99.2.e.e.67.3', 'source_level': 99, 'target_conrey_index': 67, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014673420943459, 'target_is_minimal': True, 'target_label': '99.2.e.e.67.3', 'target_level': 99, 'twist_class_label': '99.2.e.e.34.3', 'twist_class_level': 99, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44275594
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 67, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 18014673420943459, 'source_is_minimal': True, 'source_label': '99.2.e.e.67.3', 'source_level': 99, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420943657, 'target_is_minimal': False, 'target_label': '297.2.e.e.199.2', 'target_level': 297, 'twist_class_label': '99.2.e.e.34.3', 'twist_class_level': 99, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44275595
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 67, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 18014673420943459, 'source_is_minimal': True, 'source_label': '99.2.e.e.67.3', 'source_level': 99, 'target_conrey_index': 100, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420943657, 'target_is_minimal': False, 'target_label': '297.2.e.e.100.2', 'target_level': 297, 'twist_class_label': '99.2.e.e.34.3', 'twist_class_level': 99, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44275596
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 67, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 18014673420943459, 'source_is_minimal': True, 'source_label': '99.2.e.e.67.3', 'source_level': 99, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057594071483259, 'target_is_minimal': False, 'target_label': '891.2.a.q.1.2', 'target_level': 891, 'twist_class_label': '99.2.e.e.34.3', 'twist_class_level': 99, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44275597
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 67, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 18014673420943459, 'source_is_minimal': True, 'source_label': '99.2.e.e.67.3', 'source_level': 99, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67553994444112763, 'target_is_minimal': False, 'target_label': '891.2.a.p.1.3', 'target_level': 891, 'twist_class_label': '99.2.e.e.34.3', 'twist_class_level': 99, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44275598
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 67, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 18014673420943459, 'source_is_minimal': True, 'source_label': '99.2.e.e.67.3', 'source_level': 99, 'target_conrey_index': 34, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014673420943459, 'target_is_minimal': True, 'target_label': '99.2.e.e.34.3', 'target_level': 99, 'twist_class_label': '99.2.e.e.34.3', 'twist_class_level': 99, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 44275599
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 67, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 18014673420943459, 'source_is_minimal': True, 'source_label': '99.2.e.e.67.3', 'source_level': 99, 'target_conrey_index': 364, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029071930426433, 'target_is_minimal': False, 'target_label': '1089.2.e.i.364.2', 'target_level': 1089, 'twist_class_label': '99.2.e.e.34.3', 'twist_class_level': 99, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 44275600
{'conductor': 99, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 67, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 18014673420943459, 'source_is_minimal': True, 'source_label': '99.2.e.e.67.3', 'source_level': 99, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 166633186246272585, 'target_is_minimal': False, 'target_label': '9801.2.a.bl.1.2', 'target_level': 9801, 'twist_class_label': '99.2.e.e.34.3', 'twist_class_level': 99, 'twisting_char_label': '99.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 44275601
{'conductor': 99, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 67, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 18014673420943459, 'source_is_minimal': True, 'source_label': '99.2.e.e.67.3', 'source_level': 99, 'target_conrey_index': 727, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029071930426433, 'target_is_minimal': False, 'target_label': '1089.2.e.i.727.2', 'target_level': 1089, 'twist_class_label': '99.2.e.e.34.3', 'twist_class_level': 99, 'twisting_char_label': '99.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 44275602
{'conductor': 99, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 67, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 18014673420943459, 'source_is_minimal': True, 'source_label': '99.2.e.e.67.3', 'source_level': 99, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 153122387364161097, 'target_is_minimal': False, 'target_label': '9801.2.a.bi.1.3', 'target_level': 9801, 'twist_class_label': '99.2.e.e.34.3', 'twist_class_level': 99, 'twisting_char_label': '99.76', 'twisting_conrey_index': 76, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 295000
{'charpoly_factorization': [[[169, -104, 181, 46, 76, 7, 10, 1, 1], 1]], 'hecke_orbit_code': 18014673420943459, 'p': 2}
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id: 295001
{'charpoly_factorization': [[[81, -135, 135, -105, 67, -35, 15, -5, 1], 1]], 'hecke_orbit_code': 18014673420943459, 'p': 3}
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id: 295002
{'charpoly_factorization': [[[961, -899, 1120, 13, 166, 22, 25, 4, 1], 1]], 'hecke_orbit_code': 18014673420943459, 'p': 5}
-
id: 295003
{'charpoly_factorization': [[[16, -20, 49, 22, 37, 4, 7, 1, 1], 1]], 'hecke_orbit_code': 18014673420943459, 'p': 7}
-
id: 295004
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 18014673420943459, 'p': 11}
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id: 295005
{'charpoly_factorization': [[[24964, 24490, 21655, 4537, 1468, 205, 64, 7, 1], 1]], 'hecke_orbit_code': 18014673420943459, 'p': 13}
-
id: 295006
{'charpoly_factorization': [[[-236, -169, -24, 5, 1], 2]], 'hecke_orbit_code': 18014673420943459, 'p': 17}
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id: 295007
{'charpoly_factorization': [[[-54, 81, 0, -9, 1], 2]], 'hecke_orbit_code': 18014673420943459, 'p': 19}
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id: 295008
{'charpoly_factorization': [[[35344, 2444, 9757, 4601, 2971, 740, 145, 14, 1], 1]], 'hecke_orbit_code': 18014673420943459, 'p': 23}
-
id: 295009
{'charpoly_factorization': [[[22500, -15750, 9675, -2745, 861, -156, 45, -6, 1], 1]], 'hecke_orbit_code': 18014673420943459, 'p': 29}
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id: 295010
{'charpoly_factorization': [[[3481, -4307, 4090, -1769, 646, -104, 25, -2, 1], 1]], 'hecke_orbit_code': 18014673420943459, 'p': 31}
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id: 295011
{'charpoly_factorization': [[[57, 144, -81, -3, 1], 2]], 'hecke_orbit_code': 18014673420943459, 'p': 37}
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id: 295012
{'charpoly_factorization': [[[676, 4186, 24283, 10039, 3673, 448, 67, -2, 1], 1]], 'hecke_orbit_code': 18014673420943459, 'p': 41}
-
id: 295013
{'charpoly_factorization': [[[248004, -237546, 149841, -53496, 13821, -2322, 285, -21, 1], 1]], 'hecke_orbit_code': 18014673420943459, 'p': 43}
-
id: 295014
{'charpoly_factorization': [[[1, 2, 19, -16, 238, 101, 64, -7, 1], 1]], 'hecke_orbit_code': 18014673420943459, 'p': 47}
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id: 295015
{'charpoly_factorization': [[[-123, -165, -45, 6, 1], 2]], 'hecke_orbit_code': 18014673420943459, 'p': 53}
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id: 295016
{'charpoly_factorization': [[[169, -637, 2674, 977, 526, 56, 25, 2, 1], 1]], 'hecke_orbit_code': 18014673420943459, 'p': 59}
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id: 295017
{'charpoly_factorization': [[[14400, 19800, 17865, 9270, 3489, 840, 147, 15, 1], 1]], 'hecke_orbit_code': 18014673420943459, 'p': 61}
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id: 295018
{'charpoly_factorization': [[[4713241, 1812785, 651634, 78323, 14302, 1376, 217, 14, 1], 1]], 'hecke_orbit_code': 18014673420943459, 'p': 67}
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id: 295019
{'charpoly_factorization': [[[-195, 270, -87, 3, 1], 2]], 'hecke_orbit_code': 18014673420943459, 'p': 71}
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id: 295020
{'charpoly_factorization': [[[-1028, 11, 129, -22, 1], 2]], 'hecke_orbit_code': 18014673420943459, 'p': 73}
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id: 295021
{'charpoly_factorization': [[[1600, -1000, 1585, -280, 811, -214, 145, 11, 1], 1]], 'hecke_orbit_code': 18014673420943459, 'p': 79}
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id: 295022
{'charpoly_factorization': [[[2396304, -1100628, 510165, -53595, 11259, 1368, 327, 18, 1], 1]], 'hecke_orbit_code': 18014673420943459, 'p': 83}
-
id: 295023
{'charpoly_factorization': [[[2064, -48, -132, 6, 1], 2]], 'hecke_orbit_code': 18014673420943459, 'p': 89}
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id: 295024
{'charpoly_factorization': [[[1510441, 130274, 202960, 47372, 28321, 4268, 520, 26, 1], 1]], 'hecke_orbit_code': 18014673420943459, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 5, 'label': '99.2.e.e', 'level': 99, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 40829251
{'hecke_orbit_code': 18014673420943459, 'n': 1, 'trace_an': 8}
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id: 40829252
{'hecke_orbit_code': 18014673420943459, 'n': 2, 'trace_an': -1}
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id: 40829253
{'hecke_orbit_code': 18014673420943459, 'n': 3, 'trace_an': 5}
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id: 40829254
{'hecke_orbit_code': 18014673420943459, 'n': 4, 'trace_an': -11}
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id: 40829255
{'hecke_orbit_code': 18014673420943459, 'n': 5, 'trace_an': -4}
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id: 40829256
{'hecke_orbit_code': 18014673420943459, 'n': 6, 'trace_an': 17}
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id: 40829257
{'hecke_orbit_code': 18014673420943459, 'n': 7, 'trace_an': -1}
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id: 40829258
{'hecke_orbit_code': 18014673420943459, 'n': 8, 'trace_an': 0}
-
id: 40829259
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id: 40829456
{'hecke_orbit_code': 18014673420943459, 'n': 653, 'trace_an': 74}
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id: 40829457
{'hecke_orbit_code': 18014673420943459, 'n': 659, 'trace_an': -70}
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id: 40829458
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id: 40829459
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id: 40829460
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id: 40829461
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id: 40829462
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id: 40829463
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id: 40829464
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id: 40829465
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id: 40829466
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id: 40829467
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id: 40829468
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id: 40829469
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id: 40829470
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id: 40829471
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id: 40829472
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id: 40829473
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id: 40829474
{'hecke_orbit_code': 18014673420943459, 'n': 769, 'trace_an': 28}
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id: 40829475
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id: 40829476
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id: 40829477
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id: 40829478
{'hecke_orbit_code': 18014673420943459, 'n': 809, 'trace_an': -36}
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id: 40829479
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id: 40829480
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id: 40829481
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id: 40829482
{'hecke_orbit_code': 18014673420943459, 'n': 827, 'trace_an': 100}
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id: 40829483
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id: 40829484
{'hecke_orbit_code': 18014673420943459, 'n': 839, 'trace_an': -40}
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id: 40829485
{'hecke_orbit_code': 18014673420943459, 'n': 841, 'trace_an': 62}
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id: 40829486
{'hecke_orbit_code': 18014673420943459, 'n': 853, 'trace_an': -53}
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id: 40829487
{'hecke_orbit_code': 18014673420943459, 'n': 857, 'trace_an': 148}
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id: 40829488
{'hecke_orbit_code': 18014673420943459, 'n': 859, 'trace_an': 78}
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id: 40829489
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id: 40829490
{'hecke_orbit_code': 18014673420943459, 'n': 877, 'trace_an': -30}
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id: 40829491
{'hecke_orbit_code': 18014673420943459, 'n': 881, 'trace_an': 136}
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id: 40829492
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id: 40829493
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id: 40829494
{'hecke_orbit_code': 18014673420943459, 'n': 907, 'trace_an': -18}
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id: 40829495
{'hecke_orbit_code': 18014673420943459, 'n': 911, 'trace_an': -27}
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id: 40829496
{'hecke_orbit_code': 18014673420943459, 'n': 919, 'trace_an': -220}
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id: 40829497
{'hecke_orbit_code': 18014673420943459, 'n': 929, 'trace_an': 81}
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id: 40829498
{'hecke_orbit_code': 18014673420943459, 'n': 937, 'trace_an': -146}
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id: 40829499
{'hecke_orbit_code': 18014673420943459, 'n': 941, 'trace_an': 51}
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id: 40829500
{'hecke_orbit_code': 18014673420943459, 'n': 947, 'trace_an': 45}
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id: 40829501
{'hecke_orbit_code': 18014673420943459, 'n': 953, 'trace_an': -70}
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id: 40829502
{'hecke_orbit_code': 18014673420943459, 'n': 961, 'trace_an': 78}
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id: 40829503
{'hecke_orbit_code': 18014673420943459, 'n': 967, 'trace_an': -28}
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id: 40829504
{'hecke_orbit_code': 18014673420943459, 'n': 971, 'trace_an': 40}
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id: 40829505
{'hecke_orbit_code': 18014673420943459, 'n': 977, 'trace_an': -36}
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id: 40829506
{'hecke_orbit_code': 18014673420943459, 'n': 983, 'trace_an': -33}
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id: 40829507
{'hecke_orbit_code': 18014673420943459, 'n': 991, 'trace_an': 158}
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id: 40829508
{'hecke_orbit_code': 18014673420943459, 'n': 997, 'trace_an': -98}