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mf_newforms • Show schema
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mf_hecke_cc • Show schema
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-0.37305830375114724, 'hecke_orbit': 3, 'hecke_orbit_code': 9007542885679643, 'label': '539.2.f.c.344.2', 'level': 539, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2156, 'analytic_conductor': 4.303936668947013, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 5, 'char_parity': 1, 'char_values': [539, 5, [199, 442], [5, 2]], 'conrey_index': 148, 'cusp_dim': 192, 'dim': 144, 'eis_dim': 64, 'eis_new_dim': 40, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 343630938651, 'hecke_orbit_dims': [4, 4, 8, 8, 16, 16, 20, 20, 48], 'label': '539.2.f', 'level': 539, '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': [7, 11], 'level_radical': 77, 'mf_dim': 256, 'mf_new_dim': 184, 'num_forms': 9, 'prim_orbit_index': 3, 'relative_dim': 36, 'sturm_bound': 112, 'trace_bound': 3, 'trace_display': [2, 6, 2, 0], 'traces': [144, 2, 6, -30, 2, -6, 0, -12, -10, 16, -6, -4, 2, 0, 0, -42, 16, 24, -10, -22, 0, 0, -20, 14, -18, 6, 12, 0, -24, -74, 18, 8, 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mf_twists_cc • Show schema
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id: 40891087
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 344, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885679643, 'source_is_minimal': True, 'source_label': '539.2.f.c.344.2', 'source_level': 539, 'target_conrey_index': 344, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542885679643, 'target_is_minimal': True, 'target_label': '539.2.f.c.344.2', 'target_level': 539, 'twist_class_label': '539.2.f.c.246.2', 'twist_class_level': 539, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40891088
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 344, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885679643, 'source_is_minimal': True, 'source_label': '539.2.f.c.344.2', 'source_level': 539, 'target_conrey_index': 410, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511898427294235, 'target_is_minimal': False, 'target_label': '539.2.q.d.410.1', 'target_level': 539, 'twist_class_label': '539.2.f.c.246.2', 'twist_class_level': 539, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40891089
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 344, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885679643, 'source_is_minimal': True, 'source_label': '539.2.f.c.344.2', 'source_level': 539, 'target_conrey_index': 520, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511898427294235, 'target_is_minimal': False, 'target_label': '539.2.q.d.520.2', 'target_level': 539, 'twist_class_label': '539.2.f.c.246.2', 'twist_class_level': 539, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40891090
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 344, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885679643, 'source_is_minimal': True, 'source_label': '539.2.f.c.344.2', 'source_level': 539, 'target_conrey_index': 520, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511898427294235, 'target_is_minimal': False, 'target_label': '539.2.q.d.520.2', 'target_level': 539, 'twist_class_label': '539.2.f.c.246.2', 'twist_class_level': 539, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40891091
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 344, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885679643, 'source_is_minimal': True, 'source_label': '539.2.f.c.344.2', 'source_level': 539, 'target_conrey_index': 410, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511898427294235, 'target_is_minimal': False, 'target_label': '539.2.q.d.410.1', 'target_level': 539, 'twist_class_label': '539.2.f.c.246.2', 'twist_class_level': 539, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 40891092
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 344, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885679643, 'source_is_minimal': True, 'source_label': '539.2.f.c.344.2', 'source_level': 539, 'target_conrey_index': 344, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542885679643, 'target_is_minimal': True, 'target_label': '539.2.f.c.344.2', 'target_level': 539, 'twist_class_label': '539.2.f.c.246.2', 'twist_class_level': 539, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 40891093
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 344, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885679643, 'source_is_minimal': True, 'source_label': '539.2.f.c.344.2', 'source_level': 539, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 144115188109416233, 'target_is_minimal': False, 'target_label': '5929.2.a.bg.1.3', 'target_level': 5929, 'twist_class_label': '539.2.f.c.246.2', 'twist_class_level': 539, 'twisting_char_label': '11.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40891094
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 344, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885679643, 'source_is_minimal': True, 'source_label': '539.2.f.c.344.2', 'source_level': 539, 'target_conrey_index': 246, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542885679643, 'target_is_minimal': True, 'target_label': '539.2.f.c.246.2', 'target_level': 539, 'twist_class_label': '539.2.f.c.246.2', 'twist_class_level': 539, 'twisting_char_label': '11.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40891095
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 344, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885679643, 'source_is_minimal': True, 'source_label': '539.2.f.c.344.2', 'source_level': 539, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 126100789599934249, 'target_is_minimal': False, 'target_label': '5929.2.a.bc.1.2', 'target_level': 5929, 'twist_class_label': '539.2.f.c.246.2', 'twist_class_level': 539, 'twisting_char_label': '11.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 40891096
{'conductor': 77, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 344, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885679643, 'source_is_minimal': True, 'source_label': '539.2.f.c.344.2', 'source_level': 539, 'target_conrey_index': 422, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511898427294235, 'target_is_minimal': False, 'target_label': '539.2.q.d.422.1', 'target_level': 539, 'twist_class_label': '539.2.f.c.246.2', 'twist_class_level': 539, 'twisting_char_label': '77.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40891097
{'conductor': 77, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 344, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885679643, 'source_is_minimal': True, 'source_label': '539.2.f.c.344.2', 'source_level': 539, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 144115188109416233, 'target_is_minimal': False, 'target_label': '5929.2.a.bg.1.3', 'target_level': 5929, 'twist_class_label': '539.2.f.c.246.2', 'twist_class_level': 539, 'twisting_char_label': '77.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 40891098
{'conductor': 77, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 344, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885679643, 'source_is_minimal': True, 'source_label': '539.2.f.c.344.2', 'source_level': 539, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 126100789599934249, 'target_is_minimal': False, 'target_label': '5929.2.a.bc.1.2', 'target_level': 5929, 'twist_class_label': '539.2.f.c.246.2', 'twist_class_level': 539, 'twisting_char_label': '77.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 40891099
{'conductor': 77, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 344, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885679643, 'source_is_minimal': True, 'source_label': '539.2.f.c.344.2', 'source_level': 539, 'target_conrey_index': 312, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511898427294235, 'target_is_minimal': False, 'target_label': '539.2.q.d.312.2', 'target_level': 539, 'twist_class_label': '539.2.f.c.246.2', 'twist_class_level': 539, 'twisting_char_label': '77.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 40891100
{'conductor': 77, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 344, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885679643, 'source_is_minimal': True, 'source_label': '539.2.f.c.344.2', 'source_level': 539, 'target_conrey_index': 312, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511898427294235, 'target_is_minimal': False, 'target_label': '539.2.q.d.312.2', 'target_level': 539, 'twist_class_label': '539.2.f.c.246.2', 'twist_class_level': 539, 'twisting_char_label': '77.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 40891101
{'conductor': 77, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 344, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885679643, 'source_is_minimal': True, 'source_label': '539.2.f.c.344.2', 'source_level': 539, 'target_conrey_index': 246, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542885679643, 'target_is_minimal': True, 'target_label': '539.2.f.c.246.2', 'target_level': 539, 'twist_class_label': '539.2.f.c.246.2', 'twist_class_level': 539, 'twisting_char_label': '77.48', 'twisting_conrey_index': 48, 'weight': 2}
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id: 40891102
{'conductor': 77, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 344, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885679643, 'source_is_minimal': True, 'source_label': '539.2.f.c.344.2', 'source_level': 539, 'target_conrey_index': 422, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511898427294235, 'target_is_minimal': False, 'target_label': '539.2.q.d.422.1', 'target_level': 539, 'twist_class_label': '539.2.f.c.246.2', 'twist_class_level': 539, 'twisting_char_label': '77.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1020450
{'charpoly_factorization': [[[121, -88, 213, 14, 15, -6, 3, 2, 1], 1]], 'hecke_orbit_code': 9007542885679643, 'p': 2}
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id: 1020451
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007542885679643, 'p': 3}
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id: 1020452
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007542885679643, 'p': 5}
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id: 1020453
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007542885679643, 'p': 7}
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id: 1020454
{'charpoly_factorization': [[[14641, 5324, 605, -264, -151, -24, 5, 4, 1], 1]], 'hecke_orbit_code': 9007542885679643, 'p': 11}
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id: 1020455
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007542885679643, 'p': 13}
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id: 1020456
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007542885679643, 'p': 17}
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id: 1020457
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007542885679643, 'p': 19}
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id: 1020458
{'charpoly_factorization': [[[-619, -408, -51, 8, 1], 2]], 'hecke_orbit_code': 9007542885679643, 'p': 23}
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id: 1020459
{'charpoly_factorization': [[[13256881, -997634, 636597, 13468, 6750, -258, 12, 4, 1], 1]], 'hecke_orbit_code': 9007542885679643, 'p': 29}
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id: 1020460
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007542885679643, 'p': 31}
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id: 1020461
{'charpoly_factorization': [[[2193361, -2328132, 905868, 91026, 20350, 2436, 293, 18, 1], 1]], 'hecke_orbit_code': 9007542885679643, 'p': 37}
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id: 1020462
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007542885679643, 'p': 41}
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id: 1020463
{'charpoly_factorization': [[[-979, 852, -71, -12, 1], 2]], 'hecke_orbit_code': 9007542885679643, 'p': 43}
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id: 1020464
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007542885679643, 'p': 47}
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id: 1020465
{'charpoly_factorization': [[[6027025, 5646500, 2231500, 256350, 54590, 6300, 565, 30, 1], 1]], 'hecke_orbit_code': 9007542885679643, 'p': 53}
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id: 1020466
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007542885679643, 'p': 59}
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id: 1020467
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007542885679643, 'p': 61}
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id: 1020468
{'charpoly_factorization': [[[17341, -1276, -319, 4, 1], 2]], 'hecke_orbit_code': 9007542885679643, 'p': 67}
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id: 1020469
{'charpoly_factorization': [[[19321, 128992, 2437888, -804336, 141290, -15456, 1123, -48, 1], 1]], 'hecke_orbit_code': 9007542885679643, 'p': 71}
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id: 1020470
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007542885679643, 'p': 73}
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id: 1020471
{'charpoly_factorization': [[[100420441, 47940464, 8294592, -579448, 87690, -6832, 587, -24, 1], 1]], 'hecke_orbit_code': 9007542885679643, 'p': 79}
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id: 1020472
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007542885679643, 'p': 83}
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id: 1020473
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007542885679643, 'p': 89}
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id: 1020474
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007542885679643, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 3, 'label': '539.2.f.c', 'level': 539, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 30670243
{'hecke_orbit_code': 9007542885679643, 'n': 1, 'trace_an': 8}
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id: 30670244
{'hecke_orbit_code': 9007542885679643, 'n': 2, 'trace_an': -2}
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id: 30670245
{'hecke_orbit_code': 9007542885679643, 'n': 3, 'trace_an': 0}
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id: 30670246
{'hecke_orbit_code': 9007542885679643, 'n': 4, 'trace_an': 2}
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id: 30670247
{'hecke_orbit_code': 9007542885679643, 'n': 5, 'trace_an': 0}
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id: 30670248
{'hecke_orbit_code': 9007542885679643, 'n': 6, 'trace_an': 0}
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id: 30670249
{'hecke_orbit_code': 9007542885679643, 'n': 7, 'trace_an': 0}
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id: 30670250
{'hecke_orbit_code': 9007542885679643, 'n': 8, 'trace_an': 16}
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id: 30670251
{'hecke_orbit_code': 9007542885679643, 'n': 9, 'trace_an': 6}
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id: 30670252
{'hecke_orbit_code': 9007542885679643, 'n': 10, 'trace_an': 0}
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id: 30670253
{'hecke_orbit_code': 9007542885679643, 'n': 11, 'trace_an': -4}
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id: 30670254
{'hecke_orbit_code': 9007542885679643, 'n': 12, 'trace_an': 0}
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id: 30670255
{'hecke_orbit_code': 9007542885679643, 'n': 13, 'trace_an': 0}
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id: 30670256
{'hecke_orbit_code': 9007542885679643, 'n': 14, 'trace_an': 0}
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id: 30670257
{'hecke_orbit_code': 9007542885679643, 'n': 15, 'trace_an': 0}
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id: 30670258
{'hecke_orbit_code': 9007542885679643, 'n': 16, 'trace_an': -28}
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id: 30670259
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