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mf_newforms • Show schema
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{'Nk2': 3600, 'analytic_conductor': 13.275429751291638, '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': [225, 3, [101, 127], [1, 3]], 'cm_discs': [], 'conrey_index': 76, 'conrey_indexes': [76, 151], 'dim': 6, 'field_disc': -15759792, 'field_disc_factorization': [[-1, 1], [2, 4], [3, 3], [191, 2]], 'field_poly': [9, -39, 52, -27, 16, -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, [9, 51, 292, -11, 18, 1, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007474199757025, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], '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_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '225.4.e.c', 'level': 225, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '45.4.e.b', 'nf_label': '6.0.15759792.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(\\beta _{1}-\\beta _{5})q^{2}+(-1-\\beta _{2}+\\beta _{5})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '225.4.e', 'trace_display': [-1, -9, 0, -43], 'trace_hash': 1884315178001929638, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.001', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.723', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.503', 'prec': 17}, {'__RealLiteral__': 0, 'data': '124.230', 'prec': 24}, {'__RealLiteral__': 0, 'data': '37.886', 'prec': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3600, 'analytic_conductor': 13.275429751291638, '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': [225, 3, [101, 127], [1, 3]], 'conrey_index': 76, 'cusp_dim': 168, 'dim': 108, 'eis_dim': 24, 'eis_new_dim': 12, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274945016033, 'hecke_orbit_dims': [4, 4, 6, 14, 24, 24, 32], 'label': '225.4.e', 'level': 225, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 192, 'mf_new_dim': 120, 'num_forms': 7, 'prim_orbit_index': 3, 'relative_dim': 54, 'sturm_bound': 120, 'trace_bound': 2, 'trace_display': [-1, 5, 0, -5], 'traces': [108, -1, 5, -203, 0, -27, -5, 42, -75, 0, 12, -158, 13, 174, 0, -715, 302, -256, -146, 0, -69, 3, -159, 135, 0, -648, 308, 52, 69, 0, -81, 61, 1024, 85, 0, 2103, -236, -649, -711, 0, 678, -2184, 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mf_twists_cc • Show schema
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id: 40859289
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757025, 'source_is_minimal': False, 'source_label': '225.4.e.c.151.1', 'source_level': 225, 'target_conrey_index': 151, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474199757025, 'target_is_minimal': False, 'target_label': '225.4.e.c.151.1', 'target_level': 225, 'twist_class_label': '45.4.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 40859290
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757025, 'source_is_minimal': False, 'source_label': '225.4.e.c.151.1', 'source_level': 225, 'target_conrey_index': 124, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007886516617441, 'target_is_minimal': False, 'target_label': '225.4.k.c.124.1', 'target_level': 225, 'twist_class_label': '45.4.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 40859291
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757025, 'source_is_minimal': False, 'source_label': '225.4.e.c.151.1', 'source_level': 225, 'target_conrey_index': 124, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007886516617441, 'target_is_minimal': False, 'target_label': '225.4.k.c.124.6', 'target_level': 225, 'twist_class_label': '45.4.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 40859292
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757025, 'source_is_minimal': False, 'source_label': '225.4.e.c.151.1', 'source_level': 225, 'target_conrey_index': 16, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874572386349, 'target_is_minimal': True, 'target_label': '45.4.e.b.16.3', 'target_level': 45, 'twist_class_label': '45.4.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 40859293
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757025, 'source_is_minimal': False, 'source_label': '225.4.e.c.151.1', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594105038825, 'target_is_minimal': False, 'target_label': '2025.4.a.q.1.1', 'target_level': 2025, 'twist_class_label': '45.4.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 40859294
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757025, 'source_is_minimal': False, 'source_label': '225.4.e.c.151.1', 'source_level': 225, 'target_conrey_index': 76, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474199757025, 'target_is_minimal': False, 'target_label': '225.4.e.c.76.1', 'target_level': 225, 'twist_class_label': '45.4.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 40859295
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757025, 'source_is_minimal': False, 'source_label': '225.4.e.c.151.1', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 81064793359779817, 'target_is_minimal': False, 'target_label': '2025.4.a.s.1.3', 'target_level': 2025, 'twist_class_label': '45.4.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 40859296
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757025, 'source_is_minimal': False, 'source_label': '225.4.e.c.151.1', 'source_level': 225, 'target_conrey_index': 46, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874572386439, 'target_is_minimal': False, 'target_label': '135.4.e.b.46.1', 'target_level': 135, 'twist_class_label': '45.4.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 40859297
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757025, 'source_is_minimal': False, 'source_label': '225.4.e.c.151.1', 'source_level': 225, 'target_conrey_index': 31, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874572386349, 'target_is_minimal': True, 'target_label': '45.4.e.b.31.3', 'target_level': 45, 'twist_class_label': '45.4.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 40859298
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757025, 'source_is_minimal': False, 'source_label': '225.4.e.c.151.1', 'source_level': 225, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007886516617441, 'target_is_minimal': False, 'target_label': '225.4.k.c.49.1', 'target_level': 225, 'twist_class_label': '45.4.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 40859299
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757025, 'source_is_minimal': False, 'source_label': '225.4.e.c.151.1', 'source_level': 225, 'target_conrey_index': 91, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874572386439, 'target_is_minimal': False, 'target_label': '135.4.e.b.91.1', 'target_level': 135, 'twist_class_label': '45.4.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 40859300
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757025, 'source_is_minimal': False, 'source_label': '225.4.e.c.151.1', 'source_level': 225, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007886516617441, 'target_is_minimal': False, 'target_label': '225.4.k.c.49.6', 'target_level': 225, 'twist_class_label': '45.4.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 4}
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id: 40859301
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757025, 'source_is_minimal': False, 'source_label': '225.4.e.c.151.1', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532396713443733, 'target_is_minimal': False, 'target_label': '405.4.a.j.1.3', 'target_level': 405, 'twist_class_label': '45.4.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 40859302
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474199757025, 'source_is_minimal': False, 'source_label': '225.4.e.c.151.1', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197458702741, 'target_is_minimal': False, 'target_label': '405.4.a.h.1.1', 'target_level': 405, 'twist_class_label': '45.4.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 539525
{'charpoly_factorization': [[[9, 51, 292, -11, 18, 1, 1], 1]], 'hecke_orbit_code': 9007474199757025, 'p': 2}
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id: 539526
{'charpoly_factorization': [[[19683, 6561, 324, -81, 12, 9, 1], 1]], 'hecke_orbit_code': 9007474199757025, 'p': 3}
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id: 539527
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 9007474199757025, 'p': 5}
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id: 539528
{'charpoly_factorization': [[[28483569, -1040715, 267516, 19059, 1654, 43, 1], 1]], 'hecke_orbit_code': 9007474199757025, 'p': 7}
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id: 539529
{'charpoly_factorization': [[[1896428304, -122631168, 7320184, -126520, 3012, 14, 1], 1]], 'hecke_orbit_code': 9007474199757025, 'p': 11}
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id: 539530
{'charpoly_factorization': [[[5679732496, -184792528, 9026864, -52648, 4052, -40, 1], 1]], 'hecke_orbit_code': 9007474199757025, 'p': 13}
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id: 539531
{'charpoly_factorization': [[[-156324, 8920, -166, 1], 2]], 'hecke_orbit_code': 9007474199757025, 'p': 17}
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id: 539532
{'charpoly_factorization': [[[57316, 7292, 164, 1], 2]], 'hecke_orbit_code': 9007474199757025, 'p': 19}
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id: 539533
{'charpoly_factorization': [[[3746541681, -295823097, 33824628, 704025, 34074, -171, 1], 1]], 'hecke_orbit_code': 9007474199757025, 'p': 23}
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id: 539534
{'charpoly_factorization': [[[11463342489, 2926248177, 782851006, -9370019, 84894, -335, 1], 1]], 'hecke_orbit_code': 9007474199757025, 'p': 29}
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id: 539535
{'charpoly_factorization': [[[97238137683600, -137382616080, 3665151504, -14817816, 137836, -352, 1], 1]], 'hecke_orbit_code': 9007474199757025, 'p': 31}
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id: 539536
{'charpoly_factorization': [[[-3335284, 24708, 402, 1], 2]], 'hecke_orbit_code': 9007474199757025, 'p': 37}
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id: 539537
{'charpoly_factorization': [[[52247959475625, 322359380175, 3340579834, 6116911, 79566, 187, 1], 1]], 'hecke_orbit_code': 9007474199757025, 'p': 41}
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id: 539538
{'charpoly_factorization': [[[238533321586576, -153765680944, 9396725384, 36882560, 352448, 602, 1], 1]], 'hecke_orbit_code': 9007474199757025, 'p': 43}
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id: 539539
{'charpoly_factorization': [[[6187571675289, -237009867723, 7424292766, -58386899, 346944, -665, 1], 1]], 'hecke_orbit_code': 9007474199757025, 'p': 47}
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id: 539540
{'charpoly_factorization': [[[-3250536, 106300, -730, 1], 2]], 'hecke_orbit_code': 9007474199757025, 'p': 53}
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id: 539541
{'charpoly_factorization': [[[16224618881802816, -45173097261024, 163730383744, -149067880, 443448, -298, 1], 1]], 'hecke_orbit_code': 9007474199757025, 'p': 59}
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id: 539542
{'charpoly_factorization': [[[3092861048569009, -32773423076579, 267254918066, -736785779, 1481414, -1439, 1], 1]], 'hecke_orbit_code': 9007474199757025, 'p': 61}
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id: 539543
{'charpoly_factorization': [[[43587484566793281, 228333683246643, 810102262338, 1604656455, 2325124, 1849, 1], 1]], 'hecke_orbit_code': 9007474199757025, 'p': 67}
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id: 539544
{'charpoly_factorization': [[[223775052, -685460, -70, 1], 2]], 'hecke_orbit_code': 9007474199757025, 'p': 71}
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id: 539545
{'charpoly_factorization': [[[134927744, -372928, -368, 1], 2]], 'hecke_orbit_code': 9007474199757025, 'p': 73}
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id: 539546
{'charpoly_factorization': [[[19133137244437056, -53658650075616, 203324256864, -128458200, 533848, -382, 1], 1]], 'hecke_orbit_code': 9007474199757025, 'p': 79}
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id: 539547
{'charpoly_factorization': [[[913637410143880041, 1109708868397833, 2142164521980, 946919079, 1851534, 831, 1], 1]], 'hecke_orbit_code': 9007474199757025, 'p': 83}
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id: 539548
{'charpoly_factorization': [[[125506395, 238491, -1719, 1], 2]], 'hecke_orbit_code': 9007474199757025, 'p': 89}
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id: 539549
{'charpoly_factorization': [[[285551326213696, 1143471728352, 9344268672, 14714152, 147192, 282, 1], 1]], 'hecke_orbit_code': 9007474199757025, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 3, 'label': '225.4.e.c', 'level': 225, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 118494000
{'hecke_orbit_code': 9007474199757025, 'n': 1, 'trace_an': 6}
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id: 118494001
{'hecke_orbit_code': 9007474199757025, 'n': 2, 'trace_an': -1}
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id: 118494002
{'hecke_orbit_code': 9007474199757025, 'n': 3, 'trace_an': -9}
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id: 118494003
{'hecke_orbit_code': 9007474199757025, 'n': 4, 'trace_an': -11}
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id: 118494004
{'hecke_orbit_code': 9007474199757025, 'n': 5, 'trace_an': 0}
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id: 118494005
{'hecke_orbit_code': 9007474199757025, 'n': 6, 'trace_an': 84}
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id: 118494006
{'hecke_orbit_code': 9007474199757025, 'n': 7, 'trace_an': -43}
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id: 118494007
{'hecke_orbit_code': 9007474199757025, 'n': 8, 'trace_an': 54}
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id: 118494008
{'hecke_orbit_code': 9007474199757025, 'n': 9, 'trace_an': 57}
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id: 118494009
{'hecke_orbit_code': 9007474199757025, 'n': 10, 'trace_an': 0}
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id: 118494010
{'hecke_orbit_code': 9007474199757025, 'n': 11, 'trace_an': -14}
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id: 118494011
{'hecke_orbit_code': 9007474199757025, 'n': 12, 'trace_an': -75}
-
id: 118494012
{'hecke_orbit_code': 9007474199757025, 'n': 13, 'trace_an': 40}
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id: 118494013
{'hecke_orbit_code': 9007474199757025, 'n': 14, 'trace_an': 27}
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id: 118494014
{'hecke_orbit_code': 9007474199757025, 'n': 15, 'trace_an': 0}
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id: 118494015
{'hecke_orbit_code': 9007474199757025, 'n': 16, 'trace_an': 13}
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id: 118494016
{'hecke_orbit_code': 9007474199757025, 'n': 17, 'trace_an': 332}
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id: 118494017
{'hecke_orbit_code': 9007474199757025, 'n': 18, 'trace_an': -3}
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id: 118494018
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{'hecke_orbit_code': 9007474199757025, 'n': 986, 'trace_an': -5512}
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id: 118494986
{'hecke_orbit_code': 9007474199757025, 'n': 987, 'trace_an': 38313}
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id: 118494987
{'hecke_orbit_code': 9007474199757025, 'n': 988, 'trace_an': 2180}
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id: 118494988
{'hecke_orbit_code': 9007474199757025, 'n': 989, 'trace_an': -218136}
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id: 118494989
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id: 118494990
{'hecke_orbit_code': 9007474199757025, 'n': 991, 'trace_an': -16020}
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id: 118494991
{'hecke_orbit_code': 9007474199757025, 'n': 992, 'trace_an': 93870}
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id: 118494992
{'hecke_orbit_code': 9007474199757025, 'n': 993, 'trace_an': -141408}
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id: 118494993
{'hecke_orbit_code': 9007474199757025, 'n': 994, 'trace_an': 30126}
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id: 118494994
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id: 118494995
{'hecke_orbit_code': 9007474199757025, 'n': 996, 'trace_an': -105993}
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id: 118494996
{'hecke_orbit_code': 9007474199757025, 'n': 997, 'trace_an': -4282}
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id: 118494997
{'hecke_orbit_code': 9007474199757025, 'n': 998, 'trace_an': -207640}
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id: 118494998
{'hecke_orbit_code': 9007474199757025, 'n': 999, 'trace_an': -50760}
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id: 118494999
{'hecke_orbit_code': 9007474199757025, 'n': 1000, 'trace_an': 0}