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mf_newforms • Show schema
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{'Nk2': 13248, 'analytic_conductor': 26.446453149448065, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [23, 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': [3312, 1, [415, 2485, 2945, 2305], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 28, 'field_disc_factorization': [[2, 2], [7, 1]], 'field_poly': [-7, 0, 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': [[5, [-6, 2, 1]], [7, [2, 1]], [11, [-6, 2, 1]], [13, [-28, 0, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94575592208338160, 'hecke_ring_generator_nbound': 5, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3312.2.a.v', 'level': 3312, '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, 23], 'level_radical': 138, 'minimal_twist': '414.2.a.e', 'nf_label': '2.2.28.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta )q^{5}-2q^{7}+(-1+\\beta )q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3312.2.a', 'trace_display': [0, 0, -2, -4], 'trace_hash': 2248844707045064517, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.039', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.912', 'prec': 17}, 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mf_hecke_nf • Show schema
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[65, -5], [43, -17], [-48, 0], [36, 12], [-6, 20], [-8, -10], [-21, 9], [-56, 8], [-22, -22], [-34, 16]], 'char_orbit_index': 1, 'field_poly': [-7, 0, 1], 'hecke_orbit_code': 94575592208338160, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '3312.2.a.v', 'level': 3312, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [6, 6, 8, 8, 5, 5, 7, 10], 'Nk2': 13248, 'analytic_conductor': 26.446453149448065, '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': [3312, 1, [415, 2485, 2945, 2305], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 553, 'dim': 55, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 13], 'hecke_orbit_code': 33557744, 'hecke_orbit_dims': [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, 3, 4, 4], 'label': '3312.2.a', 'level': 3312, '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, 23], 'level_radical': 138, 'mf_dim': 600, 'mf_new_dim': 55, 'num_forms': 34, 'plus_dim': 26, 'prim_orbit_index': 1, 'relative_dim': 55, 'sturm_bound': 1152, 'trace_bound': 13, 'trace_display': [0, 0, -2, -4], 'traces': [55, 0, 0, 0, -2, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 6, 0, -4, 0, 0, 0, 3, 0, 65, 0, 0, 0, -2, 0, 2, 0, 0, 0, -24, 0, -2, 0, 0, 0, -2, 0, 24, 0, 0, 0, -2, 0, 55, 0, 0, 0, -10, 0, 8, 0, 0, 0, -28, 0, -10, 0, 0, 0, 12, 0, -16, 0, 0, 0, -26, 0, -2, 0, 0, 0, -8, 0, -28, 0, 0, 0, 20, 0, -4, 0, 0, 0, 14, 0, -12, 0, 0, 0, -32, 0, -26, 0, 0, 0, -30, 0, 36, 0, 0, 0, 28, 0, -10, 0, 0, 0, 30, 0, 6, 0, 0, 0, 16, 0, 35, 0, 0, 0, 36, 0, -26, 0, 0, 0, -18, 0, 16, 0, 0, 0, -18, 0, -18, 0, 0, 0, 16, 0, 12, 0, 0, 0, 14, 0, -6, 0, 0, 0, 32, 0, -34, 0, 0, 0, 0, 0, -42, 0, 0, 0, -48, 0, 49, 0, 0, 0, 34, 0, -4, 0, 0, 0, -30, 0, -42, 0, 0, 0, 28, 0, -16, 0, 0, 0, 24, 0, -34, 0, 0, 0, -34, 0, -8, 0, 0, 0, 68, 0, -28, 0, 0, 0, 8, 0, -28, 0, 0, 0, 16, 0, -48, 0, 0, 0, -4, 0, -72, 0, 0, 0, -12, 0, 30, 0, 0, 0, 6, 0, 16, 0, 0, 0, 70, 0, -58, 0, 0, 0, 70, 0, 100, 0, 0, 0, 36, 0, 0, 0, 0, 0, 54, 0, 96, 0, 0, 0, 100, 0, -4, 0, 0, 0, -18, 0, -40, 0, 0, 0, 40, 0, -42, 0, 0, 0, 30, 0, 8, 0, 0, 0, -60, 0, 69, 0, 0, 0, -50, 0, 72, 0, 0, 0, -24, 0, 32, 0, 0, 0, 4, 0, 52, 0, 0, 0, 150, 0, 6, 0, 0, 0, -14, 0, 88, 0, 0, 0, -48, 0, -54, 0, 0, 0, 32, 0, 134, 0, 0, 0, 16, 0, 14, 0, 0, 0, 16, 0, 64, 0, 0, 0, 60, 0, -66, 0, 0, 0, -42, 0, 40, 0, 0, 0, 44, 0, 19, 0, 0, 0, -92, 0, -36, 0, 0, 0, 48, 0, -74, 0, 0, 0, -36, 0, -32, 0, 0, 0, -32, 0, -88, 0, 0, 0, 6, 0, -14, 0, 0, 0, 24, 0, -18, 0, 0, 0, -10, 0, 114, 0, 0, 0, -24, 0, -50, 0, 0, 0, 16, 0, -8, 0, 0, 0, 0, 0, 14, 0, 0, 0, 18, 0, -72, 0, 0, 0, -88, 0, -10, 0, 0, 0, 0, 0, 6, 0, 0, 0, 14, 0, 20, 0, 0, 0, 6, 0, -8, 0, 0, 0, 0, 0, -18, 0, 0, 0, -106, 0, 40, 0, 0, 0, -60, 0, -24, 0, 0, 0, 8, 0, -140, 0, 0, 0, -84, 0, 20, 0, 0, 0, -44, 0, -18, 0, 0, 0, -22, 0, -52, 0, 0, 0, -40, 0, 98, 0, 0, 0, -52, 0, -12, 0, 0, 0, -26, 0, 84, 0, 0, 0, -88, 0, -64, 0, 0, 0, 22, 0, -76, 0, 0, 0, -140, 0, 55, 0, 0, 0, 16, 0, 184, 0, 0, 0, -136, 0, 22, 0, 0, 0, 36, 0, 38, 0, 0, 0, -84, 0, -64, 0, 0, 0, -50, 0, -144, 0, 0, 0, 152, 0, 28, 0, 0, 0, -82, 0, -36, 0, 0, 0, 21, 0, 46, 0, 0, 0, -8, 0, -40, 0, 0, 0, -130, 0, 96, 0, 0, 0, -50, 0, 104, 0, 0, 0, 120, 0, 54, 0, 0, 0, -2, 0, -104, 0, 0, 0, -82, 0, 46, 0, 0, 0, 46, 0, -168, 0, 0, 0, -88, 0, 3, 0, 0, 0, 84, 0, 72, 0, 0, 0, -112, 0, -58, 0, 0, 0, -114, 0, -200, 0, 0, 0, -106, 0, -48, 0, 0, 0, 54, 0, 104, 0, 0, 0, 132, 0, 78, 0, 0, 0, 64, 0, 12, 0, 0, 0, -56, 0, -122, 0, 0, 0, -82, 0, -232, 0, 0, 0, -22, 0, 36, 0, 0, 0, 44, 0, 140, 0, 0, 0, -56, 0, -20, 0, 0, 0, -82, 0, -280, 0, 0, 0, 8, 0, 6, 0, 0, 0, -8, 0, 48, 0, 0, 0, -88, 0, 120, 0, 0, 0, -22, 0, 128, 0, 0, 0, -56, 0, 86, 0, 0, 0, -144, 0, -58, 0, 0, 0, 188, 0, -4, 0, 0, 0, 64, 0, -104, 0, 0, 0, 56, 0, -34, 0, 0, 0, -66, 0, -176, 0, 0, 0, -56, 0, -34, 0, 0, 0, 70, 0, 38, 0, 0, 0, 12, 0, -8, 0, 0, 0, 4, 0, 120, 0, 0, 0, 176, 0, -44, 0, 0, 0, 38, 0, -84, 0, 0, 0, 80, 0, 16, 0, 0, 0, -34, 0, -54, 0, 0, 0, 224, 0, -104, 0, 0, 0, -78, 0, -70, 0, 0, 0, 160, 0, 122, 0, 0, 0, -2, 0, -64, 0, 0, 0, -204, 0, 105, 0, 0, 0, 138, 0, 84, 0, 0, 0, -30, 0, 82, 0, 0, 0, -10, 0, -126, 0, 0, 0, 266, 0, 180, 0, 0, 0, -16, 0, -72, 0, 0, 0, -256, 0, 34, 0, 0, 0, 102, 0, -36, 0, 0, 0, 166, 0, 64, 0, 0, 0, 16, 0, -120, 0, 0, 0, -46, 0, 84, 0, 0, 0, 44, 0, 84, 0, 0, 0, 68, 0, -16, 0, 0, 0, 56, 0, -36, 0, 0, 0, 150, 0, -118, 0, 0, 0, 94, 0, 60, 0, 0, 0, -232, 0, -82, 0, 0, 0, -34, 0, -16, 0, 0, 0, 22, 0, 40, 0, 0, 0, -106, 0, -32, 0, 0, 0, 8, 0, 103, 0, 0, 0, -20, 0, -90, 0, 0, 0, 12, 0, -72, 0, 0, 0, -82, 0, -96, 0, 0, 0, 132, 0, -4, 0, 0, 0, 0, 0, 120, 0, 0, 0, 312, 0, 10, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1080108
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '3312.2.a.v', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '414.2.a.e', 'target_level': 414, 'twist_class_label': '414.2.a.e', 'twist_class_level': 414, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1080109
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '3312.2.a.v', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '414.2.a.g', 'target_level': 414, 'twist_class_label': '414.2.a.e', 'twist_class_level': 414, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1080110
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '3312.2.a.v', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '3312.2.a.v', 'target_level': 3312, 'twist_class_label': '414.2.a.e', 'twist_class_level': 414, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1080111
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '3312.2.a.v', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '3312.2.a.z', 'target_level': 3312, 'twist_class_label': '414.2.a.e', 'twist_class_level': 414, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1080112
{'conductor': 92, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '3312.2.a.v', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '9522.2.a.bb', 'target_level': 9522, 'twist_class_label': '414.2.a.e', 'twist_class_level': 414, 'twisting_char_label': '92.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1080113
{'conductor': 276, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '3312.2.a.v', 'source_level': 3312, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '9522.2.a.bc', 'target_level': 9522, 'twist_class_label': '414.2.a.e', 'twist_class_level': 414, 'twisting_char_label': '276.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3116125
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 94575592208338160, 'p': 2}
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id: 3116126
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 94575592208338160, 'p': 3}
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id: 3116127
{'charpoly_factorization': [[[-6, 2, 1], 1]], 'hecke_orbit_code': 94575592208338160, 'p': 5}
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id: 3116128
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 94575592208338160, 'p': 7}
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id: 3116129
{'charpoly_factorization': [[[-6, 2, 1], 1]], 'hecke_orbit_code': 94575592208338160, 'p': 11}
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id: 3116130
{'charpoly_factorization': [[[-28, 0, 1], 1]], 'hecke_orbit_code': 94575592208338160, 'p': 13}
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id: 3116131
{'charpoly_factorization': [[[-24, -4, 1], 1]], 'hecke_orbit_code': 94575592208338160, 'p': 17}
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id: 3116132
{'charpoly_factorization': [[[2, 6, 1], 1]], 'hecke_orbit_code': 94575592208338160, 'p': 19}
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id: 3116133
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 94575592208338160, 'p': 23}
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id: 3116134
{'charpoly_factorization': [[[-12, -8, 1], 1]], 'hecke_orbit_code': 94575592208338160, 'p': 29}
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id: 3116135
{'charpoly_factorization': [[[-12, 8, 1], 1]], 'hecke_orbit_code': 94575592208338160, 'p': 31}
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id: 3116136
{'charpoly_factorization': [[[-62, 2, 1], 1]], 'hecke_orbit_code': 94575592208338160, 'p': 37}
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id: 3116137
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 94575592208338160, 'p': 41}
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id: 3116138
{'charpoly_factorization': [[[2, 6, 1], 1]], 'hecke_orbit_code': 94575592208338160, 'p': 43}
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id: 3116139
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 94575592208338160, 'p': 47}
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id: 3116140
{'charpoly_factorization': [[[-6, -2, 1], 1]], 'hecke_orbit_code': 94575592208338160, 'p': 53}
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id: 3116141
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 94575592208338160, 'p': 59}
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id: 3116142
{'charpoly_factorization': [[[2, -6, 1], 1]], 'hecke_orbit_code': 94575592208338160, 'p': 61}
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id: 3116143
{'charpoly_factorization': [[[-14, -14, 1], 1]], 'hecke_orbit_code': 94575592208338160, 'p': 67}
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id: 3116144
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 94575592208338160, 'p': 71}
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id: 3116145
{'charpoly_factorization': [[[-24, 4, 1], 1]], 'hecke_orbit_code': 94575592208338160, 'p': 73}
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id: 3116146
{'charpoly_factorization': [[[-108, -4, 1], 1]], 'hecke_orbit_code': 94575592208338160, 'p': 79}
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id: 3116147
{'charpoly_factorization': [[[114, -22, 1], 1]], 'hecke_orbit_code': 94575592208338160, 'p': 83}
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id: 3116148
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 94575592208338160, 'p': 89}
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id: 3116149
{'charpoly_factorization': [[[-12, -8, 1], 1]], 'hecke_orbit_code': 94575592208338160, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 22, 'label': '3312.2.a.v', 'level': 3312, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 64851631
{'hecke_orbit_code': 94575592208338160, 'n': 1, 'trace_an': 2}
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id: 64851632
{'hecke_orbit_code': 94575592208338160, 'n': 2, 'trace_an': 0}
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id: 64851633
{'hecke_orbit_code': 94575592208338160, 'n': 3, 'trace_an': 0}
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id: 64851634
{'hecke_orbit_code': 94575592208338160, 'n': 4, 'trace_an': 0}
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id: 64851635
{'hecke_orbit_code': 94575592208338160, 'n': 5, 'trace_an': -2}
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id: 64851636
{'hecke_orbit_code': 94575592208338160, 'n': 6, 'trace_an': 0}
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id: 64851637
{'hecke_orbit_code': 94575592208338160, 'n': 7, 'trace_an': -4}
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id: 64851638
{'hecke_orbit_code': 94575592208338160, 'n': 8, 'trace_an': 0}
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id: 64851639
{'hecke_orbit_code': 94575592208338160, 'n': 9, 'trace_an': 0}
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id: 64851640
{'hecke_orbit_code': 94575592208338160, 'n': 10, 'trace_an': 0}
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id: 64851641
{'hecke_orbit_code': 94575592208338160, 'n': 11, 'trace_an': -2}
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id: 64851642
{'hecke_orbit_code': 94575592208338160, 'n': 12, 'trace_an': 0}
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id: 64851643
{'hecke_orbit_code': 94575592208338160, 'n': 13, 'trace_an': 0}
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