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{'Nk2': 38808, 'analytic_conductor': 77.47086004104622, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, 1], [11, 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': [9702, 1, [4313, 199, 5293], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [0, 1]], [13, [-2, 0, 1]], [17, [4, 1]], [19, [14, -8, 1]], [23, [-28, 4, 1]], [29, [-32, 0, 1]]], 'hecke_orbit': 83, 'hecke_orbit_code': 369295169477944806, 'hecke_ring_generator_nbound': 13, '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': '9702.2.a.de', 'level': 9702, '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, 7, 11], 'level_radical': 462, 'minimal_twist': '3234.2.a.y', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+q^{8}-q^{11}-\\beta q^{13}+q^{16}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9702.2.a', 'trace_display': [2, 0, 0, 0], 'trace_hash': 1925949588075661658, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [5, 9, 11, 8, 13, 13, 13, 13, 9, 5, 8, 11, 11, 15, 14, 11], 'Nk2': 38808, 'analytic_conductor': 77.47086004104622, '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': [9702, 1, [4313, 199, 5293], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1953, 'dim': 169, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17, 19, 23, 29], 'hecke_orbit_code': 33564134, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '9702.2.a', 'level': 9702, '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, 7, 11], 'level_radical': 462, 'mf_dim': 2080, 'mf_new_dim': 169, 'num_forms': 107, 'plus_dim': 74, 'prim_orbit_index': 1, 'relative_dim': 169, 'sturm_bound': 4032, 'trace_bound': 31, 'trace_display': [-1, 0, -2, 0], 'traces': [169, -1, 0, 169, -2, 0, 0, -1, 0, -2, 1, 0, -2, 0, 0, 169, -18, 0, -12, -2, 0, -1, -4, 0, 159, -14, 0, 0, 2, 0, -8, -1, 0, -6, 0, 0, 30, -4, 0, -2, 6, 0, 52, 1, 0, 0, 4, 0, 0, -39, 0, -2, -38, 0, -6, 0, 0, -50, 16, 0, -2, -8, 0, 169, -52, 0, 44, -18, 0, 0, -20, 0, 10, -46, 0, -12, 0, 0, 80, -2, 0, -14, -20, 0, -76, 8, 0, -1, -6, 0, 0, -4, 0, 8, 32, 0, -46, 0, 0, 159, 34, 0, 0, -14, 0, -2, -60, 0, 62, -6, 0, 0, -6, 0, -32, 2, 0, 20, 0, 0, 169, 26, 0, -8, -108, 0, 48, -1, 0, -20, 20, 0, 0, 4, 0, -6, 50, 0, 36, 0, 0, 56, 10, 0, 68, -10, 0, 30, 2, 0, 112, -4, 0, 0, 112, 0, 10, -8, 0, -2, 0, 0, 140, 6, 0, 48, 48, 0, 239, -36, 0, 52, -14, 0, 0, 1, 0, 10, 84, 0, 26, 0, 0, 0, 4, 0, 2, 4, 0, 32, 164, 0, 66, -34, 0, 0, 42, 0, 24, -39, 0, -6, 0, 0, 68, 32, 0, -2, -20, 0, 124, -38, 0, 20, 88, 0, 0, -26, 0, -6, 28, 0, -8, 0, 0, -14, 12, 0, 18, 96, 0, -50, -26, 0, 64, 16, 0, 0, -8, 0, 66, -1, 0, -2, 0, 0, 224, -8, 0, -12, 96, 0, -24, 184, 0, 169, 50, 0, 0, -52, 0, 24, -8, 0, 108, 0, 0, 44, 14, 0, 136, -18, 0, -94, 31, 0, 6, -12, 0, 0, 262, 0, 108, -20, 0, 14, 0, 0, 211, -44, 0, 10, -22, 0, 72, -46, 0, 30, -72, 0, 0, 104, 0, -12, -60, 0, 12, 0, 0, 128, 52, 0, -54, -46, 0, 80, -14, 0, -14, -2, 0, 0, 32, 0, 106, 172, 0, -14, 0, 0, -92, -20, 0, 64, -24, 0, -38, 1, 0, -76, -12, 0, 0, 8, 0, 130, -84, 0, -58, 0, 0, -1, 2, 0, 72, -6, 0, 36, -56, 0, -19, 26, 0, 0, -164, 0, 88, -4, 0, -12, 0, 0, -58, -18, 0, 8, 12, 0, 12, 32, 0, 80, -28, 0, 0, -34, 0, -46, 74, 0, 80, 0, 0, -10, 64, 0, 26, 128, 0, 159, 10, 0, -120, 34, 0, 0, 70, 0, -54, -52, 0, 0, 0, 0, 56, -14, 0, 12, -80, 0, -162, 48, 0, -2, -126, 0, 0, -60, 0, 104, 64, 0, 66, 0, 0, 62, -56, 0, -16, -6, 0, 12, -20, 0, -20, 88, 0, 0, -134, 0, 10, -6, 0, 48, 0, 0, -14, 58, 0, -32, 82, 0, 40, 2, 0, -6, 152, 0, 0, 112, 0, 20, 0, 0, -140, 0, 0, -8, -16, 0, -108, 30, 0, 169, 132, 0, -48, 26, 0, 0, -12, 0, -180, -16, 0, -8, 0, 0, 20, -108, 0, 20, 0, 0, -60, 20, 0, 48, -122, 0, 0, -1, 0, -94, 8, 0, 28, 0, 0, -20, -14, 0, -84, 20, 0, -16, -80, 0, 105, -68, 0, 0, -84, 0, -40, 4, 0, -82, 0, 0, -114, 88, 0, -6, -180, 0, 148, 50, 0, 1, -72, 0, 0, 102, 0, 36, 98, 0, -240, 0, 0, -46, 12, 0, -4, -12, 0, 56, 134, 0, -108, 10, 0, 0, -4, 0, 106, -139, 0, 68, 0, 0, -54, -10, 0, -78, -152, 0, 64, -32, 0, 30, 38, 0, 0, 2, 0, 104, -76, 0, -150, 0, 0, 112, -2, 0, 72, -4, 0, -124, 120, 0, -74, -28, 0, 0, -86, 0, -16, 112, 0, 112, 0, 0, 237, -10, 0, 10, 212, 0, 16, -8, 0, -18, 88, 0, 0, 30, 0, -2, 194, 0, -120, 0, 0, -24, 12, 0, -24, -58, 0, 140, 242, 0, 80, 6, 0, 0, -44, 0, -46, 84, 0, 48, 0, 0, 144, 48, 0, 40, -54, 0, -166, -26, 0, 239, 202, 0, 0, -36, 0, 20, 132, 0, -140, 0, 0, 52, -20, 0, -120, -14, 0, 92, 200, 0, 252, -62, 0, 0, 66, 0, -88, 1, 0, -158, 0, 0, -194, 56, 0, 10, 160, 0, 60, 84, 0, 8, 44, 0, 0, 227, 0, 26, 334, 0, 40, 0, 0, -156, 16, 0, -122, -72, 0, 0, 60, 0, -100, 4, 0, 0, 616, 0, -172, -10, 0, 2, 0, 0, -192, 4, 0, -172, 232, 0, 6, -132, 0, 32, -26, 0, 0, 164, 0, -120, 200, 0, -158, 0, 0, 66, -90, 0, -8, -34, 0, -138, 344, 0, 0, -24, 0, 0, 4, 0, 172, 42, 0, -16, 0, 0, -92, -118, 0, 24, -74, 0, -144, -39, 0, 106, 14, 0, 0, -152, 0, -6, -226, 0, -172, 0, 0, 26, 40, 0, 168, -106, 0, 68, -278, 0, -448, 32, 0, 0, -292, 0, -46, 424, 0, -2, 0, 0, 120, -20, 0, -28, -28, 0, -1, 154, 0, 124, -86, 0, 0, -38, 0, -90, -224, 0, 190, 0, 0, 20, -34, 0, -32, 88, 0, -120, 92, 0, -340, 30, 0, 0, 0, 0, 104, -26, 0, -120, 0, 0, -74, 56, 0, -6, -182, 0, -268, 28, 0, 44, -32, 0, 0, -92, 0, -8, -184, 0, 200, 0, 0, -110, -176, 0, -180, -26, 0, -14, 404, 0, 228, 12, 0, 0, 20, 0, -16, 30, 0, 18, 0, 0, 352, 96, 0, 114, 160, 0, 154, -160, 0, -50, 26, 0, 0, -26, 0, 52, -36, 0, -86, 0, 0, 64, -190, 0, -160, 16, 0, -44, 268, 0, 308, 44, 0, 0, -146, 0, 168, -8, 0, -40, 0, 0, 233, -212, 0, 66, 36, 0, 304, -1, 0, -204, 32, 0, 0, 64, 0, -2, -86, 0, 54, 0, 0, 12, 12, 0, 20, 20, 0, 224, -8, 0, 408, -8, 0, 0, 360, 0, 54, -44, 0, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1444179
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 83, 'source_is_minimal': False, 'source_label': '9702.2.a.de', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 25, 'target_is_minimal': True, 'target_label': '3234.2.a.y', 'target_level': 3234, 'twist_class_label': '3234.2.a.y', 'twist_class_level': 3234, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1444180
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 83, 'source_is_minimal': False, 'source_label': '9702.2.a.de', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 26, 'target_is_minimal': True, 'target_label': '3234.2.a.z', 'target_level': 3234, 'twist_class_label': '3234.2.a.y', 'twist_class_level': 3234, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1444181
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 83, 'source_is_minimal': False, 'source_label': '9702.2.a.de', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 83, 'target_is_minimal': False, 'target_label': '9702.2.a.de', 'target_level': 9702, 'twist_class_label': '3234.2.a.y', 'twist_class_level': 3234, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1444182
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 83, 'source_is_minimal': False, 'source_label': '9702.2.a.de', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 90, 'target_is_minimal': False, 'target_label': '9702.2.a.dl', 'target_level': 9702, 'twist_class_label': '3234.2.a.y', 'twist_class_level': 3234, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5041225
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 369295169477944806, 'p': 2}
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id: 5041226
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 369295169477944806, 'p': 3}
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id: 5041227
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 369295169477944806, 'p': 5}
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id: 5041228
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 369295169477944806, 'p': 7}
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id: 5041229
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 369295169477944806, 'p': 11}
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id: 5041230
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 369295169477944806, 'p': 13}
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id: 5041231
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 369295169477944806, 'p': 17}
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id: 5041232
{'charpoly_factorization': [[[14, -8, 1], 1]], 'hecke_orbit_code': 369295169477944806, 'p': 19}
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id: 5041233
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 369295169477944806, 'p': 23}
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id: 5041234
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 369295169477944806, 'p': 29}
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id: 5041235
{'charpoly_factorization': [[[-34, -8, 1], 1]], 'hecke_orbit_code': 369295169477944806, 'p': 31}
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id: 5041236
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 369295169477944806, 'p': 37}
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id: 5041237
{'charpoly_factorization': [[[-16, 8, 1], 1]], 'hecke_orbit_code': 369295169477944806, 'p': 41}
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id: 5041238
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 369295169477944806, 'p': 43}
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id: 5041239
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 369295169477944806, 'p': 47}
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id: 5041240
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 369295169477944806, 'p': 53}
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id: 5041241
{'charpoly_factorization': [[[8, 8, 1], 1]], 'hecke_orbit_code': 369295169477944806, 'p': 59}
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id: 5041242
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 369295169477944806, 'p': 61}
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id: 5041243
{'charpoly_factorization': [[[-128, 0, 1], 1]], 'hecke_orbit_code': 369295169477944806, 'p': 67}
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id: 5041244
{'charpoly_factorization': [[[32, 16, 1], 1]], 'hecke_orbit_code': 369295169477944806, 'p': 71}
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id: 5041245
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 369295169477944806, 'p': 73}
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id: 5041246
{'charpoly_factorization': [[[-16, 8, 1], 1]], 'hecke_orbit_code': 369295169477944806, 'p': 79}
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id: 5041247
{'charpoly_factorization': [[[14, -16, 1], 1]], 'hecke_orbit_code': 369295169477944806, 'p': 83}
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id: 5041248
{'charpoly_factorization': [[[14, 8, 1], 1]], 'hecke_orbit_code': 369295169477944806, 'p': 89}
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id: 5041249
{'charpoly_factorization': [[[-162, 0, 1], 1]], 'hecke_orbit_code': 369295169477944806, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 83, 'label': '9702.2.a.de', 'level': 9702, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 72489721
{'hecke_orbit_code': 369295169477944806, 'n': 1, 'trace_an': 2}
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id: 72489722
{'hecke_orbit_code': 369295169477944806, 'n': 2, 'trace_an': 2}
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id: 72489723
{'hecke_orbit_code': 369295169477944806, 'n': 3, 'trace_an': 0}
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id: 72489724
{'hecke_orbit_code': 369295169477944806, 'n': 4, 'trace_an': 2}
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id: 72489725
{'hecke_orbit_code': 369295169477944806, 'n': 5, 'trace_an': 0}
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id: 72489726
{'hecke_orbit_code': 369295169477944806, 'n': 6, 'trace_an': 0}
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id: 72489727
{'hecke_orbit_code': 369295169477944806, 'n': 7, 'trace_an': 0}
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id: 72489728
{'hecke_orbit_code': 369295169477944806, 'n': 8, 'trace_an': 2}
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id: 72489729
{'hecke_orbit_code': 369295169477944806, 'n': 9, 'trace_an': 0}
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id: 72489730
{'hecke_orbit_code': 369295169477944806, 'n': 10, 'trace_an': 0}
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id: 72489731
{'hecke_orbit_code': 369295169477944806, 'n': 11, 'trace_an': -2}
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id: 72489732
{'hecke_orbit_code': 369295169477944806, 'n': 12, 'trace_an': 0}
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id: 72489733
{'hecke_orbit_code': 369295169477944806, 'n': 13, 'trace_an': 0}
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id: 72489734
{'hecke_orbit_code': 369295169477944806, 'n': 14, 'trace_an': 0}
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id: 72489735
{'hecke_orbit_code': 369295169477944806, 'n': 15, 'trace_an': 0}
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id: 72489736
{'hecke_orbit_code': 369295169477944806, 'n': 16, 'trace_an': 2}
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id: 72489737
{'hecke_orbit_code': 369295169477944806, 'n': 17, 'trace_an': -8}
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id: 72489738
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