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{'Nk2': 35280, 'analytic_conductor': 130.09921156265804, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, -1], [7, -1]], 'atkin_lehner_string': '+--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2205, 1, [1226, 442, 1081], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': [[2, [-5, 1]], [11, [-50, 1]], [13, [-20, 1]], [17, [-10, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568392987150493, 'hecke_ring_generator_nbound': 1, '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': '2205.4.a.t', 'level': 2205, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'minimal_twist': '45.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+5q^{2}+17q^{4}+5q^{5}+45q^{8}+5^{2}q^{10}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2205.4.a', 'trace_display': [5, 0, 5, 0], 'trace_hash': 166222968144576619, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.049', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.173', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.999', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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-
mf_newspaces • Show schema
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0, 1614896, -2136588, 0, 227320, 0, 0, 242224, -318608, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 48294388
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 85568392987150493, 'source_is_minimal': False, 'source_label': '2205.4.a.t.1.1', 'source_level': 2205, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392987150493, 'target_is_minimal': False, 'target_label': '2205.4.a.t.1.1', 'target_level': 2205, 'twist_class_label': '45.4.a.a.1.1', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 48294389
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 85568392987150493, 'source_is_minimal': False, 'source_label': '2205.4.a.t.1.1', 'source_level': 2205, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67111069, 'target_is_minimal': False, 'target_label': '2205.4.a.a.1.1', 'target_level': 2205, 'twist_class_label': '45.4.a.a.1.1', 'twist_class_level': 45, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48294390
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 85568392987150493, 'source_is_minimal': False, 'source_label': '2205.4.a.t.1.1', 'source_level': 2205, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398576590893, 'target_is_minimal': True, 'target_label': '45.4.a.e.1.1', 'target_level': 45, 'twist_class_label': '45.4.a.a.1.1', 'twist_class_level': 45, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 4}
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id: 48294391
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 85568392987150493, 'source_is_minimal': False, 'source_label': '2205.4.a.t.1.1', 'source_level': 2205, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67108909, 'target_is_minimal': True, 'target_label': '45.4.a.a.1.1', 'target_level': 45, 'twist_class_label': '45.4.a.a.1.1', 'twist_class_level': 45, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 4}
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id: 48294392
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 85568392987150493, 'source_is_minimal': False, 'source_label': '2205.4.a.t.1.1', 'source_level': 2205, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394850296528, 'target_is_minimal': False, 'target_label': '720.4.a.o.1.1', 'target_level': 720, 'twist_class_label': '45.4.a.a.1.1', 'twist_class_level': 45, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 48294393
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 85568392987150493, 'source_is_minimal': False, 'source_label': '2205.4.a.t.1.1', 'source_level': 2205, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503668413956321, 'target_is_minimal': False, 'target_label': '225.4.b.b.199.1', 'target_level': 225, 'twist_class_label': '45.4.a.a.1.1', 'twist_class_level': 45, 'twisting_char_label': '35.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 48294394
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 85568392987150493, 'source_is_minimal': False, 'source_label': '2205.4.a.t.1.1', 'source_level': 2205, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503668413956321, 'target_is_minimal': False, 'target_label': '225.4.b.b.199.2', 'target_level': 225, 'twist_class_label': '45.4.a.a.1.1', 'twist_class_level': 45, 'twisting_char_label': '35.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 48294395
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 85568392987150493, 'source_is_minimal': False, 'source_label': '2205.4.a.t.1.1', 'source_level': 2205, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67109089, 'target_is_minimal': False, 'target_label': '225.4.a.a.1.1', 'target_level': 225, 'twist_class_label': '45.4.a.a.1.1', 'twist_class_level': 45, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 4}
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id: 48294396
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 85568392987150493, 'source_is_minimal': False, 'source_label': '2205.4.a.t.1.1', 'source_level': 2205, 'target_conrey_index': 136, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874572386709, 'target_is_minimal': False, 'target_label': '405.4.e.b.136.1', 'target_level': 405, 'twist_class_label': '45.4.a.a.1.1', 'twist_class_level': 45, 'twisting_char_label': '63.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 48294397
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 85568392987150493, 'source_is_minimal': False, 'source_label': '2205.4.a.t.1.1', 'source_level': 2205, 'target_conrey_index': 271, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547070100832661, 'target_is_minimal': False, 'target_label': '405.4.e.n.271.1', 'target_level': 405, 'twist_class_label': '45.4.a.a.1.1', 'twist_class_level': 45, 'twisting_char_label': '63.20', 'twisting_conrey_index': 20, 'weight': 4}
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id: 48294398
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 85568392987150493, 'source_is_minimal': False, 'source_label': '2205.4.a.t.1.1', 'source_level': 2205, 'target_conrey_index': 271, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874572386709, 'target_is_minimal': False, 'target_label': '405.4.e.b.271.1', 'target_level': 405, 'twist_class_label': '45.4.a.a.1.1', 'twist_class_level': 45, 'twisting_char_label': '63.34', 'twisting_conrey_index': 34, 'weight': 4}
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id: 48294399
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 85568392987150493, 'source_is_minimal': False, 'source_label': '2205.4.a.t.1.1', 'source_level': 2205, 'target_conrey_index': 136, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547070100832661, 'target_is_minimal': False, 'target_label': '405.4.e.n.136.1', 'target_level': 405, 'twist_class_label': '45.4.a.a.1.1', 'twist_class_level': 45, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 4}
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id: 48294400
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 85568392987150493, 'source_is_minimal': False, 'source_label': '2205.4.a.t.1.1', 'source_level': 2205, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789633483472, 'target_is_minimal': False, 'target_label': '720.4.a.bc.1.1', 'target_level': 720, 'twist_class_label': '45.4.a.a.1.1', 'twist_class_level': 45, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 4}
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id: 48294401
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 85568392987150493, 'source_is_minimal': False, 'source_label': '2205.4.a.t.1.1', 'source_level': 2205, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68786585825, 'target_is_minimal': False, 'target_label': '225.4.b.a.199.1', 'target_level': 225, 'twist_class_label': '45.4.a.a.1.1', 'twist_class_level': 45, 'twisting_char_label': '105.62', 'twisting_conrey_index': 62, 'weight': 4}
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id: 48294402
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 85568392987150493, 'source_is_minimal': False, 'source_label': '2205.4.a.t.1.1', 'source_level': 2205, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68786585825, 'target_is_minimal': False, 'target_label': '225.4.b.a.199.2', 'target_level': 225, 'twist_class_label': '45.4.a.a.1.1', 'twist_class_level': 45, 'twisting_char_label': '105.83', 'twisting_conrey_index': 83, 'weight': 4}
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id: 48294403
{'conductor': 105, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 85568392987150493, 'source_is_minimal': False, 'source_label': '2205.4.a.t.1.1', 'source_level': 2205, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197458702561, 'target_is_minimal': False, 'target_label': '225.4.a.h.1.1', 'target_level': 225, 'twist_class_label': '45.4.a.a.1.1', 'twist_class_level': 45, 'twisting_char_label': '105.104', 'twisting_conrey_index': 104, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2497125
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 2}
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id: 2497126
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 3}
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id: 2497127
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 5}
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id: 2497128
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 7}
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id: 2497129
{'charpoly_factorization': [[[-50, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 11}
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id: 2497130
{'charpoly_factorization': [[[-20, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 13}
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id: 2497131
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 17}
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id: 2497132
{'charpoly_factorization': [[[-44, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 19}
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id: 2497133
{'charpoly_factorization': [[[-120, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 23}
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id: 2497134
{'charpoly_factorization': [[[50, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 29}
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id: 2497135
{'charpoly_factorization': [[[108, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 31}
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id: 2497136
{'charpoly_factorization': [[[40, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 37}
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id: 2497137
{'charpoly_factorization': [[[400, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 41}
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id: 2497138
{'charpoly_factorization': [[[-280, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 43}
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id: 2497139
{'charpoly_factorization': [[[-280, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 47}
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id: 2497140
{'charpoly_factorization': [[[610, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 53}
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id: 2497141
{'charpoly_factorization': [[[50, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 59}
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id: 2497142
{'charpoly_factorization': [[[-518, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 61}
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id: 2497143
{'charpoly_factorization': [[[180, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 67}
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id: 2497144
{'charpoly_factorization': [[[-700, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 71}
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id: 2497145
{'charpoly_factorization': [[[-410, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 73}
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id: 2497146
{'charpoly_factorization': [[[516, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 79}
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id: 2497147
{'charpoly_factorization': [[[660, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 83}
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id: 2497148
{'charpoly_factorization': [[[-1500, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 89}
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id: 2497149
{'charpoly_factorization': [[[-1630, 1], 1]], 'hecke_orbit_code': 85568392987150493, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 20, 'label': '2205.4.a.t', 'level': 2205, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 248503000
{'hecke_orbit_code': 85568392987150493, 'n': 1, 'trace_an': 1}
-
id: 248503001
{'hecke_orbit_code': 85568392987150493, 'n': 2, 'trace_an': 5}
-
id: 248503002
{'hecke_orbit_code': 85568392987150493, 'n': 3, 'trace_an': 0}
-
id: 248503003
{'hecke_orbit_code': 85568392987150493, 'n': 4, 'trace_an': 17}
-
id: 248503004
{'hecke_orbit_code': 85568392987150493, 'n': 5, 'trace_an': 5}
-
id: 248503005
{'hecke_orbit_code': 85568392987150493, 'n': 6, 'trace_an': 0}
-
id: 248503006
{'hecke_orbit_code': 85568392987150493, 'n': 7, 'trace_an': 0}
-
id: 248503007
{'hecke_orbit_code': 85568392987150493, 'n': 8, 'trace_an': 45}
-
id: 248503008
{'hecke_orbit_code': 85568392987150493, 'n': 9, 'trace_an': 0}
-
id: 248503009
{'hecke_orbit_code': 85568392987150493, 'n': 10, 'trace_an': 25}
-
id: 248503010
{'hecke_orbit_code': 85568392987150493, 'n': 11, 'trace_an': 50}
-
id: 248503011
{'hecke_orbit_code': 85568392987150493, 'n': 12, 'trace_an': 0}
-
id: 248503012
{'hecke_orbit_code': 85568392987150493, 'n': 13, 'trace_an': 20}
-
id: 248503013
{'hecke_orbit_code': 85568392987150493, 'n': 14, 'trace_an': 0}
-
id: 248503014
{'hecke_orbit_code': 85568392987150493, 'n': 15, 'trace_an': 0}
-
id: 248503015
{'hecke_orbit_code': 85568392987150493, 'n': 16, 'trace_an': 89}
-
id: 248503016
{'hecke_orbit_code': 85568392987150493, 'n': 17, 'trace_an': 10}
-
id: 248503017
{'hecke_orbit_code': 85568392987150493, 'n': 18, 'trace_an': 0}
-
id: 248503018
{'hecke_orbit_code': 85568392987150493, 'n': 19, 'trace_an': 44}
-
id: 248503019
{'hecke_orbit_code': 85568392987150493, 'n': 20, 'trace_an': 85}
-
id: 248503020
{'hecke_orbit_code': 85568392987150493, 'n': 21, 'trace_an': 0}
-
id: 248503021
{'hecke_orbit_code': 85568392987150493, 'n': 22, 'trace_an': 250}
-
id: 248503022
{'hecke_orbit_code': 85568392987150493, 'n': 23, 'trace_an': 120}
-
id: 248503023
{'hecke_orbit_code': 85568392987150493, 'n': 24, 'trace_an': 0}
-
id: 248503024
{'hecke_orbit_code': 85568392987150493, 'n': 25, 'trace_an': 25}
-
id: 248503025
{'hecke_orbit_code': 85568392987150493, 'n': 26, 'trace_an': 100}
-
id: 248503026
{'hecke_orbit_code': 85568392987150493, 'n': 27, 'trace_an': 0}
-
id: 248503027
{'hecke_orbit_code': 85568392987150493, 'n': 28, 'trace_an': 0}
-
id: 248503028
{'hecke_orbit_code': 85568392987150493, 'n': 29, 'trace_an': -50}
-
id: 248503029
{'hecke_orbit_code': 85568392987150493, 'n': 30, 'trace_an': 0}
-
id: 248503030
{'hecke_orbit_code': 85568392987150493, 'n': 31, 'trace_an': -108}
-
id: 248503031
{'hecke_orbit_code': 85568392987150493, 'n': 32, 'trace_an': 85}
-
id: 248503032
{'hecke_orbit_code': 85568392987150493, 'n': 33, 'trace_an': 0}
-
id: 248503033
{'hecke_orbit_code': 85568392987150493, 'n': 34, 'trace_an': 50}
-
id: 248503034
{'hecke_orbit_code': 85568392987150493, 'n': 35, 'trace_an': 0}
-
id: 248503035
{'hecke_orbit_code': 85568392987150493, 'n': 36, 'trace_an': 0}
-
id: 248503036
{'hecke_orbit_code': 85568392987150493, 'n': 37, 'trace_an': -40}
-
id: 248503037
{'hecke_orbit_code': 85568392987150493, 'n': 38, 'trace_an': 220}
-
id: 248503038
{'hecke_orbit_code': 85568392987150493, 'n': 39, 'trace_an': 0}
-
id: 248503039
{'hecke_orbit_code': 85568392987150493, 'n': 40, 'trace_an': 225}
-
id: 248503040
{'hecke_orbit_code': 85568392987150493, 'n': 41, 'trace_an': -400}
-
id: 248503041
{'hecke_orbit_code': 85568392987150493, 'n': 42, 'trace_an': 0}
-
id: 248503042
{'hecke_orbit_code': 85568392987150493, 'n': 43, 'trace_an': 280}
-
id: 248503043
{'hecke_orbit_code': 85568392987150493, 'n': 44, 'trace_an': 850}
-
id: 248503044
{'hecke_orbit_code': 85568392987150493, 'n': 45, 'trace_an': 0}
-
id: 248503045
{'hecke_orbit_code': 85568392987150493, 'n': 46, 'trace_an': 600}
-
id: 248503046
{'hecke_orbit_code': 85568392987150493, 'n': 47, 'trace_an': 280}
-
id: 248503047
{'hecke_orbit_code': 85568392987150493, 'n': 48, 'trace_an': 0}
-
id: 248503048
{'hecke_orbit_code': 85568392987150493, 'n': 49, 'trace_an': 0}
-
id: 248503049
{'hecke_orbit_code': 85568392987150493, 'n': 50, 'trace_an': 125}
-
id: 248503050
{'hecke_orbit_code': 85568392987150493, 'n': 51, 'trace_an': 0}
-
id: 248503051
{'hecke_orbit_code': 85568392987150493, 'n': 52, 'trace_an': 340}
-
id: 248503052
{'hecke_orbit_code': 85568392987150493, 'n': 53, 'trace_an': -610}
-
id: 248503053
{'hecke_orbit_code': 85568392987150493, 'n': 54, 'trace_an': 0}
-
id: 248503054
{'hecke_orbit_code': 85568392987150493, 'n': 55, 'trace_an': 250}
-
id: 248503055
{'hecke_orbit_code': 85568392987150493, 'n': 56, 'trace_an': 0}
-
id: 248503056
{'hecke_orbit_code': 85568392987150493, 'n': 57, 'trace_an': 0}
-
id: 248503057
{'hecke_orbit_code': 85568392987150493, 'n': 58, 'trace_an': -250}
-
id: 248503058
{'hecke_orbit_code': 85568392987150493, 'n': 59, 'trace_an': -50}
-
id: 248503059
{'hecke_orbit_code': 85568392987150493, 'n': 60, 'trace_an': 0}
-
id: 248503060
{'hecke_orbit_code': 85568392987150493, 'n': 61, 'trace_an': 518}
-
id: 248503061
{'hecke_orbit_code': 85568392987150493, 'n': 62, 'trace_an': -540}
-
id: 248503062
{'hecke_orbit_code': 85568392987150493, 'n': 63, 'trace_an': 0}
-
id: 248503063
{'hecke_orbit_code': 85568392987150493, 'n': 64, 'trace_an': -287}
-
id: 248503064
{'hecke_orbit_code': 85568392987150493, 'n': 65, 'trace_an': 100}
-
id: 248503065
{'hecke_orbit_code': 85568392987150493, 'n': 66, 'trace_an': 0}
-
id: 248503066
{'hecke_orbit_code': 85568392987150493, 'n': 67, 'trace_an': -180}
-
id: 248503067
{'hecke_orbit_code': 85568392987150493, 'n': 68, 'trace_an': 170}
-
id: 248503068
{'hecke_orbit_code': 85568392987150493, 'n': 69, 'trace_an': 0}
-
id: 248503069
{'hecke_orbit_code': 85568392987150493, 'n': 70, 'trace_an': 0}
-
id: 248503070
{'hecke_orbit_code': 85568392987150493, 'n': 71, 'trace_an': 700}
-
id: 248503071
{'hecke_orbit_code': 85568392987150493, 'n': 72, 'trace_an': 0}
-
id: 248503072
{'hecke_orbit_code': 85568392987150493, 'n': 73, 'trace_an': 410}
-
id: 248503073
{'hecke_orbit_code': 85568392987150493, 'n': 74, 'trace_an': -200}
-
id: 248503074
{'hecke_orbit_code': 85568392987150493, 'n': 75, 'trace_an': 0}
-
id: 248503075
{'hecke_orbit_code': 85568392987150493, 'n': 76, 'trace_an': 748}
-
id: 248503076
{'hecke_orbit_code': 85568392987150493, 'n': 77, 'trace_an': 0}
-
id: 248503077
{'hecke_orbit_code': 85568392987150493, 'n': 78, 'trace_an': 0}
-
id: 248503078
{'hecke_orbit_code': 85568392987150493, 'n': 79, 'trace_an': -516}
-
id: 248503079
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