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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': 1, 'hecke_cutters': [[5, [-2, 0, 1]], [13, [-2, 0, 1]], [17, [-2, 0, 1]], [19, [-8, 0, 1]], [23, [4, 1]], [29, [6, 1]]], 'hecke_orbit': 94, 'hecke_orbit_code': 418834765379020262, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0]], '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': True, 'label': '9702.2.a.dp', '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': '9702.2.a.cl', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+\\beta q^{5}+q^{8}+\\beta q^{10}+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': '9702.2.a', 'trace_display': [2, 0, 0, 0], 'trace_hash': 2140086218191156512, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 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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: 1444237
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 94, 'source_is_minimal': True, 'source_label': '9702.2.a.dp', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 64, 'target_is_minimal': True, 'target_label': '9702.2.a.cl', 'target_level': 9702, 'twist_class_label': '9702.2.a.cl', 'twist_class_level': 9702, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1444238
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 94, 'source_is_minimal': True, 'source_label': '9702.2.a.dp', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 64, 'target_is_minimal': True, 'target_label': '9702.2.a.cl', 'target_level': 9702, 'twist_class_label': '9702.2.a.cl', 'twist_class_level': 9702, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1444239
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 94, 'source_is_minimal': True, 'source_label': '9702.2.a.dp', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 94, 'target_is_minimal': True, 'target_label': '9702.2.a.dp', 'target_level': 9702, 'twist_class_label': '9702.2.a.cl', 'twist_class_level': 9702, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1444240
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 94, 'source_is_minimal': True, 'source_label': '9702.2.a.dp', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 94, 'target_is_minimal': True, 'target_label': '9702.2.a.dp', 'target_level': 9702, 'twist_class_label': '9702.2.a.cl', 'twist_class_level': 9702, '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: 5051300
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 418834765379020262, 'p': 2}
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id: 5051301
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 418834765379020262, 'p': 3}
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id: 5051302
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 418834765379020262, 'p': 5}
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id: 5051303
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 418834765379020262, 'p': 7}
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id: 5051304
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 418834765379020262, 'p': 11}
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id: 5051305
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 418834765379020262, 'p': 13}
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id: 5051306
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 418834765379020262, 'p': 17}
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id: 5051307
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 418834765379020262, 'p': 19}
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id: 5051308
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 418834765379020262, 'p': 23}
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id: 5051309
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 418834765379020262, 'p': 29}
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id: 5051310
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 418834765379020262, 'p': 31}
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id: 5051311
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 418834765379020262, 'p': 37}
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id: 5051312
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 418834765379020262, 'p': 41}
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id: 5051313
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 418834765379020262, 'p': 43}
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id: 5051314
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 418834765379020262, 'p': 47}
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id: 5051315
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 418834765379020262, 'p': 53}
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id: 5051316
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 418834765379020262, 'p': 59}
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id: 5051317
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 418834765379020262, 'p': 61}
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id: 5051318
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 418834765379020262, 'p': 67}
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id: 5051319
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 418834765379020262, 'p': 71}
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id: 5051320
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 418834765379020262, 'p': 73}
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id: 5051321
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 418834765379020262, 'p': 79}
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id: 5051322
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 418834765379020262, 'p': 83}
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id: 5051323
{'charpoly_factorization': [[[-98, 0, 1], 1]], 'hecke_orbit_code': 418834765379020262, 'p': 89}
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id: 5051324
{'charpoly_factorization': [[[-242, 0, 1], 1]], 'hecke_orbit_code': 418834765379020262, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 94, 'label': '9702.2.a.dp', '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: 72528421
{'hecke_orbit_code': 418834765379020262, 'n': 1, 'trace_an': 2}
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id: 72528422
{'hecke_orbit_code': 418834765379020262, 'n': 2, 'trace_an': 2}
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id: 72528423
{'hecke_orbit_code': 418834765379020262, 'n': 3, 'trace_an': 0}
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id: 72528424
{'hecke_orbit_code': 418834765379020262, 'n': 4, 'trace_an': 2}
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id: 72528425
{'hecke_orbit_code': 418834765379020262, 'n': 5, 'trace_an': 0}
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id: 72528426
{'hecke_orbit_code': 418834765379020262, 'n': 6, 'trace_an': 0}
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id: 72528427
{'hecke_orbit_code': 418834765379020262, 'n': 7, 'trace_an': 0}
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id: 72528428
{'hecke_orbit_code': 418834765379020262, 'n': 8, 'trace_an': 2}
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id: 72528429
{'hecke_orbit_code': 418834765379020262, 'n': 9, 'trace_an': 0}
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id: 72528430
{'hecke_orbit_code': 418834765379020262, 'n': 10, 'trace_an': 0}
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id: 72528431
{'hecke_orbit_code': 418834765379020262, 'n': 11, 'trace_an': 2}
-
id: 72528432
{'hecke_orbit_code': 418834765379020262, 'n': 12, 'trace_an': 0}
-
id: 72528433
{'hecke_orbit_code': 418834765379020262, 'n': 13, 'trace_an': 0}
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id: 72528434
{'hecke_orbit_code': 418834765379020262, 'n': 14, 'trace_an': 0}
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id: 72528435
{'hecke_orbit_code': 418834765379020262, 'n': 15, 'trace_an': 0}
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id: 72528436
{'hecke_orbit_code': 418834765379020262, 'n': 16, 'trace_an': 2}
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id: 72528437
{'hecke_orbit_code': 418834765379020262, 'n': 17, 'trace_an': 0}
-
id: 72528438
{'hecke_orbit_code': 418834765379020262, 'n': 18, 'trace_an': 0}
-
id: 72528439
{'hecke_orbit_code': 418834765379020262, 'n': 19, 'trace_an': 0}
-
id: 72528440
{'hecke_orbit_code': 418834765379020262, 'n': 20, 'trace_an': 0}
-
id: 72528441
{'hecke_orbit_code': 418834765379020262, 'n': 21, 'trace_an': 0}
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