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mf_newforms • Show schema
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{'Nk2': 4680, 'analytic_conductor': 9.342497036489805, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 39, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 73, 'char_orbit_label': 'cu', 'char_order': 12, 'char_parity': 1, 'char_values': [1170, 12, [911, 937, 1081], [6, 12, 5]], 'cm_discs': [], 'conrey_index': 71, 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [9, 18, 9, 0, 1]], [17, [576, 0, 24, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9012147090621586, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 6, -1, 12, 0], [1, 1, 3, 2, -1, 2, 0], [1, 1, 39, 11, 1, 12, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1170.2.cu.c', 'level': 1170, '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': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '1170.2.cu.c', 'nf_label': '8.0.5308416.1', 'prim_orbit_index': 11, 'qexp_display': 'q-\\zeta_{24}^{7}q^{2}-\\zeta_{24}^{2}q^{4}+\\zeta_{24}^{3}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1170.2.cu', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1300061411105118820, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.263', 'prec': 17}, 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mf_hecke_nf • Show schema
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35, 0, 35], [0, -10, 0, -19, 0, 19, 0, 10], [52, 0, -28, 0, -24, 0, -24, 0], [0, 25, 0, -25, 0, -35, 0, -10], [-12, 0, 36, 0, 48, 0, -48, 0], [26, 0, 22, 0, 22, 0, 26, 0], [0, -26, 0, -26, 0, 44, 0, -18], [64, 0, 4, 0, 0, 0, -2, 0], [0, 0, 0, -19, 0, 0, 0, 0], [-10, 0, -10, 0, 32, 0, -22, 0], [0, 45, 0, -28, 0, -17, 0, -17], [0, -20, 0, 20, 0, -20, 0, 20], [0, -24, 0, -18, 0, 6, 0, -6], [0, 4, 0, 0, 0, -8, 0, -20], [0, 0, 0, 15, 0, 36, 0, 15], [-2, 0, 16, 0, 2, 0, -32, 0], [0, 12, 0, 12, 0, 6, 0, -18], [0, 0, 60, 0, 0, 0, -30, 0], [0, 4, 0, 1, 0, 1, 0, 4], [0, -31, 0, -50, 0, 50, 0, 31], [-16, 0, 38, 0, -22, 0, -22, 0], [-4, 0, 20, 0, -4, 0, 0, 0], [0, 36, 0, 20, 0, -36, 0, -40], [-48, 0, -28, 0, 24, 0, 28, 0]], 'char_orbit_index': 73, 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'hecke_orbit_code': 9012147090621586, 'hecke_ring_character_values': [[911, [-1, 0, 0, 0, 0, 0, 0, 0]], [937, [1, 0, 0, 0, 0, 0, 0, 0]], [1081, [0, 0, 1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 8, 'label': '1170.2.cu.c', 'level': 1170, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 4680, 'analytic_conductor': 9.342497036489805, 'char_conductor': 39, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 73, 'char_orbit_label': 'cu', 'char_order': 12, 'char_parity': 1, 'char_values': [1170, 12, [911, 937, 1081], [6, 12, 5]], 'conrey_index': 71, 'cusp_dim': 944, 'dim': 64, 'eis_dim': 128, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 17], 'hecke_orbit_code': 4947835880594, 'hecke_orbit_dims': [8, 8, 8, 8, 16, 16], 'label': '1170.2.cu', 'level': 1170, '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': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 1072, 'mf_new_dim': 64, 'num_forms': 6, 'prim_orbit_index': 11, 'relative_dim': 16, 'sturm_bound': 504, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 32, 0, 0, 64, 0, 0, 0, 0, 0, 96, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 32, 0, 0, -32, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 16, 0, 0, -32, 0, 0, 32, 0, 0, 0, 0, 0, -112, 0, 0, 64, 0, 0, 0, 0, 0, -16, 0, 0, 64, 0, 0, -96, 0, 0, 16, 0, 0, 96, 0, 0, -32, 0, 0, -96, 0, 0, 16, 0, 0, -96, 0, 0, 0, 0, 0, 64, 0, 0, 32, 0, 0, 64, 0, 0, -48, 0, 0, -384, 0, 0, 0, 0, 0, -160, 0, 0, -96, 0, 0, 96, 0, 0, -32, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -64, 0, 0, -128, 0, 0, 16, 0, 0, -96, 0, 0, 64, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, -64, 0, 0, -80, 0, 0, -128, 0, 0, 32, 0, 0, 0, 0, 0, -288, 0, 0, 80, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -64, 0, 0, -32, 0, 0, 0, 0, 0, 128, 0, 0, -64, 0, 0, -96, 0, 0, 48, 0, 0, 64, 0, 0, 192, 0, 0, 0, 0, 0, -192, 0, 0, 256, 0, 0, 128, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 128, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, -48, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 144, 0, 0, -16, 0, 0, -96, 0, 0, 32, 0, 0, -96, 0, 0, 0, 0, 0, -400, 0, 0, -160, 0, 0, -48, 0, 0, -32, 0, 0, -352, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 320, 0, 0, -32, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, -32, 0, 0, 80, 0, 0, -224, 0, 0, -32, 0, 0, 192, 0, 0, -32, 0, 0, -96, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 256, 0, 0, -32, 0, 0, 32, 0, 0, 48, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, -272, 0, 0, 16, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 416, 0, 0, -64, 0, 0, 48, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, -32, 0, 0, 160, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 192, 0, 0, 64, 0, 0, 16, 0, 0, 256, 0, 0, 0, 0, 0, 96, 0, 0, -48, 0, 0, 160, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, -416, 0, 0, 16, 0, 0, 96, 0, 0, 64, 0, 0, -384, 0, 0, 32, 0, 0, 0, 0, 0, -384, 0, 0, 16, 0, 0, -16, 0, 0, -32, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 176, 0, 0, -160, 0, 0, -64, 0, 0, 0, 0, 0, 80, 0, 0, -288, 0, 0, -256, 0, 0, 0, 0, 0, -416, 0, 0, 32, 0, 0, 0, 0, 0, 160, 0, 0, -80, 0, 0, 96, 0, 0, 128, 0, 0, -64, 0, 0, 96, 0, 0, 16, 0, 0, -192, 0, 0, 128, 0, 0, 192, 0, 0, 32, 0, 0, -32, 0, 0, 0, 0, 0, 96, 0, 0, 192, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 128, 0, 0, 0, 0, 0, 64, 0, 0, 128, 0, 0, 496, 0, 0, -32, 0, 0, 0, 0, 0, 224, 0, 0, -96, 0, 0, -16, 0, 0, 416, 0, 0, -64, 0, 0, 288, 0, 0, -32, 0, 0, 240, 0, 0, 208, 0, 0, -320, 0, 0, 80, 0, 0, -160, 0, 0, 0, 0, 0, -272, 0, 0, -96, 0, 0, 16, 0, 0, 160, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 352, 0, 0, -160, 0, 0, -112, 0, 0, -96, 0, 0, 0, 0, 0, -32, 0, 0, 272, 0, 0, 48, 0, 0, -288, 0, 0, -128, 0, 0, -96, 0, 0, -192, 0, 0, 96, 0, 0, 0, 0, 0, -96, 0, 0, 96, 0, 0, 32, 0, 0, 0, 0, 0, 736, 0, 0, -32, 0, 0, 256, 0, 0, 0, 0, 0, 224, 0, 0, 480, 0, 0, -96, 0, 0, -192, 0, 0, -112, 0, 0, 112, 0, 0, 480, 0, 0, 32, 0, 0, 0, 0, 0, -192, 0, 0, 288, 0, 0, 320, 0, 0, -240, 0, 0, -256, 0, 0, -480, 0, 0, 112, 0, 0, 192, 0, 0, -224, 0, 0, 128, 0, 0, -256, 0, 0, 160, 0, 0, 0, 0, 0, 32, 0, 0, 64, 0, 0, -432, 0, 0, 192, 0, 0, -320, 0, 0, 0, 0, 0, -160, 0, 0, -48, 0, 0, 0, 0, 0, -96, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, -704, 0, 0, -32, 0, 0, 224, 0, 0, -64, 0, 0, -576, 0, 0, 32, 0, 0, 48, 0, 0, -96, 0, 0, -64, 0, 0, -96, 0, 0, 128, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 664477
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 73, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '1170.2.cu.c', 'source_level': 1170, 'target_char_orbit': 73, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '1170.2.cu.c', 'target_level': 1170, 'twist_class_label': '1170.2.cu.c', 'twist_class_level': 1170, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 664478
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 73, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '1170.2.cu.c', 'source_level': 1170, 'target_char_orbit': 73, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '1170.2.cu.c', 'target_level': 1170, 'twist_class_label': '1170.2.cu.c', 'twist_class_level': 1170, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 664479
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 73, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '1170.2.cu.c', 'source_level': 1170, 'target_char_orbit': 73, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '1170.2.cu.c', 'target_level': 1170, 'twist_class_label': '1170.2.cu.c', 'twist_class_level': 1170, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 664480
{'conductor': 39, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 73, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '1170.2.cu.c', 'source_level': 1170, 'target_char_orbit': 73, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '1170.2.cu.c', 'target_level': 1170, 'twist_class_label': '1170.2.cu.c', 'twist_class_level': 1170, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1741425
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9012147090621586, 'p': 2}
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id: 1741426
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9012147090621586, 'p': 3}
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id: 1741427
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 9012147090621586, 'p': 5}
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id: 1741428
{'charpoly_factorization': [[[9, 18, 9, 0, 1], 2]], 'hecke_orbit_code': 9012147090621586, 'p': 7}
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id: 1741429
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9012147090621586, 'p': 11}
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id: 1741430
{'charpoly_factorization': [[[169, 0, -1, 0, 1], 2]], 'hecke_orbit_code': 9012147090621586, 'p': 13}
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id: 1741431
{'charpoly_factorization': [[[576, 0, 24, 0, 1], 2]], 'hecke_orbit_code': 9012147090621586, 'p': 17}
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id: 1741432
{'charpoly_factorization': [[[9, 0, 9, 6, 1], 2]], 'hecke_orbit_code': 9012147090621586, 'p': 19}
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id: 1741433
{'charpoly_factorization': [[[16, 0, 112, 0, 780, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 9012147090621586, 'p': 23}
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id: 1741434
{'charpoly_factorization': [[[64, 0, -8, 0, 1], 2]], 'hecke_orbit_code': 9012147090621586, 'p': 29}
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id: 1741435
{'charpoly_factorization': [[[144, -144, 72, -12, 1], 2]], 'hecke_orbit_code': 9012147090621586, 'p': 31}
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id: 1741436
{'charpoly_factorization': [[[529, 230, 29, 4, 1], 2]], 'hecke_orbit_code': 9012147090621586, 'p': 37}
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id: 1741437
{'charpoly_factorization': [[[65536, 0, 0, 0, -256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9012147090621586, 'p': 41}
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id: 1741438
{'charpoly_factorization': [[[2704, 624, -4, -12, 1], 2]], 'hecke_orbit_code': 9012147090621586, 'p': 43}
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id: 1741439
{'charpoly_factorization': [[[2313441, 0, 0, 0, 9954, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9012147090621586, 'p': 47}
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id: 1741440
{'charpoly_factorization': [[[5041, 0, 196, 0, 1], 2]], 'hecke_orbit_code': 9012147090621586, 'p': 53}
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id: 1741441
{'charpoly_factorization': [[[65536, 0, 0, 0, -256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9012147090621586, 'p': 59}
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id: 1741442
{'charpoly_factorization': [[[1936, -176, 60, 4, 1], 2]], 'hecke_orbit_code': 9012147090621586, 'p': 61}
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id: 1741443
{'charpoly_factorization': [[[64, 32, 104, -20, 1], 2]], 'hecke_orbit_code': 9012147090621586, 'p': 67}
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id: 1741444
{'charpoly_factorization': [[[256, 0, 0, 0, -16, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9012147090621586, 'p': 71}
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id: 1741445
{'charpoly_factorization': [[[2304, -1152, 288, -24, 1], 2]], 'hecke_orbit_code': 9012147090621586, 'p': 73}
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id: 1741446
{'charpoly_factorization': [[[-2, 1], 8]], 'hecke_orbit_code': 9012147090621586, 'p': 79}
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id: 1741447
{'charpoly_factorization': [[[59969536, 0, 0, 0, 34688, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9012147090621586, 'p': 83}
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id: 1741448
{'charpoly_factorization': [[[466948881, 0, 0, 0, -21609, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9012147090621586, 'p': 89}
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id: 1741449
{'charpoly_factorization': [[[10816, -416, 200, -28, 1], 2]], 'hecke_orbit_code': 9012147090621586, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 73, 'hecke_orbit': 3, 'label': '1170.2.cu.c', 'level': 1170, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 32357047
{'hecke_orbit_code': 9012147090621586, 'n': 1, 'trace_an': 8}
-
id: 32357048
{'hecke_orbit_code': 9012147090621586, 'n': 2, 'trace_an': 0}
-
id: 32357049
{'hecke_orbit_code': 9012147090621586, 'n': 3, 'trace_an': 0}
-
id: 32357050
{'hecke_orbit_code': 9012147090621586, 'n': 4, 'trace_an': 0}
-
id: 32357051
{'hecke_orbit_code': 9012147090621586, 'n': 5, 'trace_an': 0}
-
id: 32357052
{'hecke_orbit_code': 9012147090621586, 'n': 6, 'trace_an': 0}
-
id: 32357053
{'hecke_orbit_code': 9012147090621586, 'n': 7, 'trace_an': 0}
-
id: 32357054
{'hecke_orbit_code': 9012147090621586, 'n': 8, 'trace_an': 0}
-
id: 32357055
{'hecke_orbit_code': 9012147090621586, 'n': 9, 'trace_an': 0}
-
id: 32357056
{'hecke_orbit_code': 9012147090621586, 'n': 10, 'trace_an': 0}
-
id: 32357057
{'hecke_orbit_code': 9012147090621586, 'n': 11, 'trace_an': 0}
-
id: 32357058
{'hecke_orbit_code': 9012147090621586, 'n': 12, 'trace_an': 0}
-
id: 32357059
{'hecke_orbit_code': 9012147090621586, 'n': 13, 'trace_an': 0}
-
id: 32357060
{'hecke_orbit_code': 9012147090621586, 'n': 14, 'trace_an': 0}
-
id: 32357061
{'hecke_orbit_code': 9012147090621586, 'n': 15, 'trace_an': 0}
-
id: 32357062
{'hecke_orbit_code': 9012147090621586, 'n': 16, 'trace_an': 4}
-
id: 32357063
{'hecke_orbit_code': 9012147090621586, 'n': 17, 'trace_an': 0}
-
id: 32357064
{'hecke_orbit_code': 9012147090621586, 'n': 18, 'trace_an': 0}
-
id: 32357065
{'hecke_orbit_code': 9012147090621586, 'n': 19, 'trace_an': -12}
-
id: 32357066
{'hecke_orbit_code': 9012147090621586, 'n': 20, 'trace_an': 0}
-
id: 32357067
{'hecke_orbit_code': 9012147090621586, 'n': 21, 'trace_an': 0}
-
id: 32357068
{'hecke_orbit_code': 9012147090621586, 'n': 22, 'trace_an': -4}
-
id: 32357069
{'hecke_orbit_code': 9012147090621586, 'n': 23, 'trace_an': 0}
-
id: 32357070
{'hecke_orbit_code': 9012147090621586, 'n': 24, 'trace_an': 0}
-
id: 32357071
{'hecke_orbit_code': 9012147090621586, 'n': 25, 'trace_an': 0}
-
id: 32357072
{'hecke_orbit_code': 9012147090621586, 'n': 26, 'trace_an': 0}
-
id: 32357073
{'hecke_orbit_code': 9012147090621586, 'n': 27, 'trace_an': 0}
-
id: 32357074
{'hecke_orbit_code': 9012147090621586, 'n': 28, 'trace_an': 0}
-
id: 32357075
{'hecke_orbit_code': 9012147090621586, 'n': 29, 'trace_an': 0}
-
id: 32357076
{'hecke_orbit_code': 9012147090621586, 'n': 30, 'trace_an': 0}
-
id: 32357077
{'hecke_orbit_code': 9012147090621586, 'n': 31, 'trace_an': 24}
-
id: 32357078
{'hecke_orbit_code': 9012147090621586, 'n': 32, 'trace_an': 0}
-
id: 32357079
{'hecke_orbit_code': 9012147090621586, 'n': 33, 'trace_an': 0}
-
id: 32357080
{'hecke_orbit_code': 9012147090621586, 'n': 34, 'trace_an': 0}
-
id: 32357081
{'hecke_orbit_code': 9012147090621586, 'n': 35, 'trace_an': 0}
-
id: 32357082
{'hecke_orbit_code': 9012147090621586, 'n': 36, 'trace_an': 0}
-
id: 32357083
{'hecke_orbit_code': 9012147090621586, 'n': 37, 'trace_an': -8}
-
id: 32357084
{'hecke_orbit_code': 9012147090621586, 'n': 38, 'trace_an': 0}
-
id: 32357085
{'hecke_orbit_code': 9012147090621586, 'n': 39, 'trace_an': 0}
-
id: 32357086
{'hecke_orbit_code': 9012147090621586, 'n': 40, 'trace_an': -8}
-
id: 32357087
{'hecke_orbit_code': 9012147090621586, 'n': 41, 'trace_an': 0}
-
id: 32357088
{'hecke_orbit_code': 9012147090621586, 'n': 42, 'trace_an': 0}
-
id: 32357089
{'hecke_orbit_code': 9012147090621586, 'n': 43, 'trace_an': 24}
-
id: 32357090
{'hecke_orbit_code': 9012147090621586, 'n': 44, 'trace_an': 0}
-
id: 32357091
{'hecke_orbit_code': 9012147090621586, 'n': 45, 'trace_an': 0}
-
id: 32357092
{'hecke_orbit_code': 9012147090621586, 'n': 46, 'trace_an': 20}
-
id: 32357093
{'hecke_orbit_code': 9012147090621586, 'n': 47, 'trace_an': 0}
-
id: 32357094
{'hecke_orbit_code': 9012147090621586, 'n': 48, 'trace_an': 0}
-
id: 32357095
{'hecke_orbit_code': 9012147090621586, 'n': 49, 'trace_an': -36}
-
id: 32357096
{'hecke_orbit_code': 9012147090621586, 'n': 50, 'trace_an': 0}
-
id: 32357097
{'hecke_orbit_code': 9012147090621586, 'n': 51, 'trace_an': 0}
-
id: 32357098
{'hecke_orbit_code': 9012147090621586, 'n': 52, 'trace_an': 28}
-
id: 32357099
{'hecke_orbit_code': 9012147090621586, 'n': 53, 'trace_an': 0}
-
id: 32357100
{'hecke_orbit_code': 9012147090621586, 'n': 54, 'trace_an': 0}
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id: 32357299
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id: 32357300
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id: 32357301
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id: 32357302
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id: 32357303
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id: 32357304
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