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{'Nk2': 24168, 'analytic_conductor': 48.24561290125761, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [19, 1], [53, 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': [6042, 1, [2015, 4771, 2281], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 6, 'field_disc': 48689336, 'field_disc_factorization': [[2, 3], [37, 1], [103, 1], [1597, 1]], 'field_poly': [-2, -5, 9, 7, -6, -2, 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, [2, -6, -13, 9, 19, 8, 1]], [7, [-32, 96, 15, -49, -5, 6, 1]], [11, [40, 122, 100, -3, -24, -3, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463081882, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '6042.2.a.x', 'level': 6042, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 19, 53], 'level_radical': 6042, 'minimal_twist': '6042.2.a.x', 'nf_label': '6.6.48689336.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}+(-1-\\beta _{1})q^{5}+q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6042.2.a', 'trace_display': [6, 6, -8, -6], 'trace_hash': 772790823814447723, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.581', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
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32, -14, -11, -1, 5], [1, 2, 7, 16, -10, 1], [-14, -12, 5, 6, -3, -4], [-9, -4, -4, 14, -5, -1], [3, -2, 12, 15, -10, -2], [-1, 16, -9, -13, 10, -2], [9, 2, -5, -1, -3, 12], [16, -8, 25, -6, -19, 2], [-53, 8, 10, 2, 1, 7], [-16, -9, 24, 2, 1, -1], [2, -10, -10, 0, -13, 8], [-3, 5, -2, 10, -6, -14], [7, -12, 4, 6, 1, -23], [4, 8, 12, -2, 2, -4], [-15, 8, 7, -2, 4, 5], [15, 14, -2, -4, -5, -1], [-48, 6, -4, 7, 5, 5], [24, -15, -11, -4, -11, 5], [1, -4, -18, 7, -4, 8], [-1, 8, 10, 1, 7, 14], [3, -17, 14, 7, -4, 5], [-11, 4, -14, -6, 13, -11], [-1, -16, 8, 11, -1, 14], [-8, -18, 15, -11, 2, 5], [-21, 4, 12, -5, -5, -10], [13, 32, -12, 5, 3, 4], [2, -4, 23, -1, -4, 3], [-9, -16, -9, 9, -14, 0], [-10, -1, 22, 0, -6, 9], [-19, -17, 22, 3, -13, 9], [-8, -7, 11, 9, 0, -14], [-17, 10, -11, -2, 6, -5], [15, 3, 11, -6, 10, 8], [-9, 6, 9, 19, -9, 2], [-31, 4, 8, -4, -8, -7], [16, -7, -17, 5, -10, 8], [3, 6, 10, 17, 6, -12], [21, 3, -3, 15, 3, -1], [-14, 6, -9, -3, -5, 7], [-35, -5, 8, 11, -7, 5], [1, 12, -5, -8, 5, 9], [9, 3, 2, 3, 4, -21], [22, 10, 6, -7, 3, -3], [-12, 0, 11, -11, 14, 7], [-15, -14, -5, 20, 2, 1], [9, -6, 6, -6, 3, 15], [11, -7, 17, 2, 4, 2], [27, -4, -8, -21, -7, 18], [-17, 13, 6, 3, 14, -9], [-15, -15, 0, -1, -14, -15], [3, -18, -12, 11, 2, 14], [30, -9, 1, -3, 10, -4], [-16, -6, 10, -4, -22, -4], [-6, 2, 5, -4, 1, -14], [-8, -2, -8, -15, 10, -11], [-7, -2, -6, 2, -2, 23], [-32, -12, 10, 3, -3, 1], [-11, 13, -6, -7, 2, -9], [3, 1, -13, 2, -2, -2], [4, -23, -2, 14, -2, 7], [-39, 1, -1, -7, -1, 13], [-4, -8, 3, 7, -15, 7], [-9, 14, -4, -13, -8, 0], [-34, 8, 0, -10, 4, 2], [-17, -3, -11, -3, -3, 13], [-10, -1, 3, -1, -25, 2], [-16, 22, 7, -15, 2, 1], [-1, 21, -2, 1, 16, -15], [-18, 4, -12, 0, 12, -8], [0, -10, 12, -8, -12, -4], [7, -13, -8, 2, 13, -16], [-3, 11, 5, 6, 8, -14], [-7, -8, -12, 1, -1, 20], [-24, -13, 12, -3, 7, -4], [-21, -12, 5, -2, 12, -7], [-21, 12, -12, 5, -5, -10], [-7, -7, -17, 0, -2, 14], [7, 18, 7, -11, -1, 6], [18, 13, -18, 4, 2, -5], [2, -34, 6, 1, 6, -5], [-24, -9, -15, 14, -6, -5], [23, -15, 4, -10, -15, -2], [-6, -9, -2, -3, 8, 20], [-11, -18, -7, 9, -6, 8], [-16, 0, -4, 4, -2, -16], [-28, -8, 6, -2, 5, -18], [7, 2, 2, -6, 5, -11], [-17, 6, -7, 2, 4, 11], [10, -4, 3, 4, -19, 4], [42, 14, 4, 2, 4, -16], [16, -2, -13, -13, -1, 13], [-6, 25, -16, -17, -1, 6], [-31, 9, -10, -8, 2, 16], [-34, -8, 19, 10, 0, 2], [-47, -2, 5, 17, -5, 4], [10, -18, 8, 0, 2, -14], [15, -16, 4, 15, -16, -18], [-9, 4, 8, 26, -11, -13], [1, 8, -13, -11, 22, -2], [2, -21, 1, -13, 0, -4], [-18, -16, -15, 14, -9, -2], [16, -6, -1, -1, 0, -9], [-3, 12, -7, 5, 3, 8], [-40, -13, -3, -2, -1, 21], [-52, 11, 1, -6, 6, -5], [-36, -3, -7, 8, -5, 1], [-36, 8, -12, 13, 16, -11], [27, 21, 1, 8, 0, -20], [11, -12, 10, 10, 3, -11], [-37, 4, -6, 3, -6, 12], [27, -20, -1, 9, -18, -12], [8, -8, 16, 6, 8, 0], [18, 14, -6, 6, 3, 10], [-30, 12, -2, -11, 11, 9], [16, 2, 7, 16, -7, 4], [35, 11, -29, -10, 19, -18], [8, -4, 7, -9, -7, 19], [22, -12, -17, 11, 6, 7], [47, -22, 0, 1, -2, -12], [-21, 24, 8, -4, -13, 9], [-27, 26, 6, -1, 2, -4], [-3, -18, 14, -7, 0, 10], [2, -12, -2, 12, 7, 6], [12, 8, 13, -22, -6, 2], [-12, 4, -7, -3, 10, 11], [1, 14, -4, 8, 1, 25], [11, 36, -9, -7, 7, 6], [-27, 21, 15, -3, -11, -5], [17, -12, 3, -5, -3, 18], [-63, -10, 1, 2, -14, 3], [-4, 10, -8, -15, 11, 15], [-35, -16, 13, 3, -10, 28], [-2, -7, 0, -7, 12, -10], [-30, 4, -13, -7, -6, 1], [13, 33, -3, 0, 8, -2], [-18, -2, 15, -5, 11, 17], [28, 8, -3, 0, -1, -16], [-1, -5, -10, -4, 1, 18], [-9, 8, -19, 4, 10, -19], [8, 22, 6, -18, 4, 16], [0, -40, 16, 4, -16, -6], [-4, -12, -13, 19, 2, -3], [54, 10, -8, 7, -1, -1], [25, 21, -6, -12, -9, 18]], 'char_orbit_index': 1, 'field_poly': [-2, -5, 9, 7, -6, -2, 1], 'hecke_orbit_code': 103582791463081882, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [2, 1, 1, 0, 0, 0], [1, 5, 2, 1, 0, 0], [8, 11, 8, 2, 1, 0], [12, 37, 21, 9, 2, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-2, -1, 1, 0, 0, 0], [3, -3, -2, 1, 0, 0], [2, 3, -4, -2, 1, 0], [-1, 5, 5, -5, -2, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '6042.2.a.x', 'level': 6042, 'maxp': 2999, 'weight': 2}
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{'AL_dims': [[[[2, -1], [3, 1], [19, 1], [53, 1]], 10, 2], [[[2, -1], [3, -1], [19, -1], [53, -1]], 5, 2], [[[2, 1], [3, 1], [19, -1], [53, -1]], 12, 2], [[[2, 1], [3, -1], [19, 1], [53, -1]], 8, 2], [[[2, 1], [3, 1], [19, 1], [53, -1]], 9, 1], [[[2, -1], [3, 1], [19, 1], [53, -1]], 9, 1], [[[2, 1], [3, -1], [19, -1], [53, 1]], 7, 2], [[[2, -1], [3, -1], [19, -1], [53, 1]], 14, 2], [[[2, -1], [3, 1], [19, -1], [53, -1]], 9, 3], [[[2, -1], [3, 1], [19, -1], [53, 1]], 11, 2], [[[2, -1], [3, -1], [19, 1], [53, 1]], 7, 2], [[[2, 1], [3, 1], [19, 1], [53, 1]], 12, 1], [[[2, 1], [3, -1], [19, -1], [53, -1]], 13, 2], [[[2, 1], [3, -1], [19, 1], [53, 1]], 11, 3], [[[2, 1], [3, 1], [19, -1], [53, 1]], 6, 4], [[[2, -1], [3, -1], [19, 1], [53, -1]], 14, 3]], 'ALdims': [12, 9, 6, 12, 11, 8, 7, 13, 10, 9, 11, 9, 7, 14, 14, 5], 'Nk2': 24168, 'analytic_conductor': 48.24561290125761, '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': [6042, 1, [2015, 4771, 2281], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1073, 'dim': 157, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 33560474, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 5, 6, 6, 6, 7, 9, 9, 9, 9, 11, 12, 12, 12, 13], 'label': '6042.2.a', 'level': 6042, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 19, 53], 'level_radical': 6042, 'mf_dim': 1088, 'mf_new_dim': 157, 'num_forms': 34, 'plus_dim': 71, 'prim_orbit_index': 1, 'relative_dim': 157, 'sturm_bound': 2160, 'trace_bound': 11, 'trace_display': [1, 1, -2, 0], 'traces': [157, 1, 1, 157, -2, 1, 0, 1, 157, 6, 4, 1, 14, 8, 6, 157, 10, 1, -3, -2, 8, 12, 16, 1, 179, 14, 1, 0, 30, -2, 16, 1, 12, 2, -16, 157, -10, 1, -2, 6, -6, 8, 36, 4, -2, 8, -8, 1, 205, 31, 18, 14, 1, 1, -8, 8, 1, 22, 12, 6, -2, -32, 0, 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mf_twists_nf • Show schema
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{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 24, 'source_is_minimal': True, 'source_label': '6042.2.a.x', 'source_level': 6042, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 24, 'target_is_minimal': True, 'target_label': '6042.2.a.x', 'target_level': 6042, 'twist_class_label': '6042.2.a.x', 'twist_class_level': 6042, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4072325
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 103582791463081882, 'p': 2}
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id: 4072326
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 103582791463081882, 'p': 3}
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id: 4072327
{'charpoly_factorization': [[[2, -6, -13, 9, 19, 8, 1], 1]], 'hecke_orbit_code': 103582791463081882, 'p': 5}
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id: 4072328
{'charpoly_factorization': [[[-32, 96, 15, -49, -5, 6, 1], 1]], 'hecke_orbit_code': 103582791463081882, 'p': 7}
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id: 4072329
{'charpoly_factorization': [[[40, 122, 100, -3, -24, -3, 1], 1]], 'hecke_orbit_code': 103582791463081882, 'p': 11}
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id: 4072330
{'charpoly_factorization': [[[584, 36, -390, -99, 36, 13, 1], 1]], 'hecke_orbit_code': 103582791463081882, 'p': 13}
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id: 4072331
{'charpoly_factorization': [[[640, 924, 196, -151, -42, 5, 1], 1]], 'hecke_orbit_code': 103582791463081882, 'p': 17}
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id: 4072332
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 103582791463081882, 'p': 19}
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id: 4072333
{'charpoly_factorization': [[[1648, 2232, -339, -451, -17, 12, 1], 1]], 'hecke_orbit_code': 103582791463081882, 'p': 23}
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id: 4072334
{'charpoly_factorization': [[[208, 1800, -433, -496, -57, 7, 1], 1]], 'hecke_orbit_code': 103582791463081882, 'p': 29}
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id: 4072335
{'charpoly_factorization': [[[-64, -96, 88, 188, 92, 17, 1], 1]], 'hecke_orbit_code': 103582791463081882, 'p': 31}
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id: 4072336
{'charpoly_factorization': [[[-7472, -14700, -7376, -1281, -16, 15, 1], 1]], 'hecke_orbit_code': 103582791463081882, 'p': 37}
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id: 4072337
{'charpoly_factorization': [[[7960, 2268, -990, -365, 7, 12, 1], 1]], 'hecke_orbit_code': 103582791463081882, 'p': 41}
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id: 4072338
{'charpoly_factorization': [[[1664, 1536, 93, -227, -45, 4, 1], 1]], 'hecke_orbit_code': 103582791463081882, 'p': 43}
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id: 4072339
{'charpoly_factorization': [[[1648, -4150, -1730, 617, 265, 29, 1], 1]], 'hecke_orbit_code': 103582791463081882, 'p': 47}
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id: 4072340
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 103582791463081882, 'p': 53}
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id: 4072341
{'charpoly_factorization': [[[-184, 1072, -1327, 474, -29, -9, 1], 1]], 'hecke_orbit_code': 103582791463081882, 'p': 59}
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id: 4072342
{'charpoly_factorization': [[[7768, -40132, -21906, -3531, -115, 16, 1], 1]], 'hecke_orbit_code': 103582791463081882, 'p': 61}
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id: 4072343
{'charpoly_factorization': [[[-423536, 208552, 32097, -2623, -347, 8, 1], 1]], 'hecke_orbit_code': 103582791463081882, 'p': 67}
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id: 4072344
{'charpoly_factorization': [[[24512, 42240, 7584, -920, -208, 2, 1], 1]], 'hecke_orbit_code': 103582791463081882, 'p': 71}
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id: 4072345
{'charpoly_factorization': [[[79328, 98124, 3308, -3473, -192, 17, 1], 1]], 'hecke_orbit_code': 103582791463081882, 'p': 73}
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id: 4072346
{'charpoly_factorization': [[[-52736, -43968, -10680, -115, 266, 31, 1], 1]], 'hecke_orbit_code': 103582791463081882, 'p': 79}
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id: 4072347
{'charpoly_factorization': [[[-22976, -24688, 10948, -139, -218, 5, 1], 1]], 'hecke_orbit_code': 103582791463081882, 'p': 83}
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id: 4072348
{'charpoly_factorization': [[[-27452, 27956, 5797, -766, -149, 5, 1], 1]], 'hecke_orbit_code': 103582791463081882, 'p': 89}
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id: 4072349
{'charpoly_factorization': [[[-385192, -29900, 20606, 1037, -314, -7, 1], 1]], 'hecke_orbit_code': 103582791463081882, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '6042.2.a.x', 'level': 6042, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 255823000
{'hecke_orbit_code': 103582791463081882, 'n': 1, 'trace_an': 6}
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id: 255823001
{'hecke_orbit_code': 103582791463081882, 'n': 2, 'trace_an': 6}
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id: 255823002
{'hecke_orbit_code': 103582791463081882, 'n': 3, 'trace_an': 6}
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id: 255823003
{'hecke_orbit_code': 103582791463081882, 'n': 4, 'trace_an': 6}
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id: 255823004
{'hecke_orbit_code': 103582791463081882, 'n': 5, 'trace_an': -8}
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id: 255823005
{'hecke_orbit_code': 103582791463081882, 'n': 6, 'trace_an': 6}
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id: 255823006
{'hecke_orbit_code': 103582791463081882, 'n': 7, 'trace_an': -6}
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id: 255823007
{'hecke_orbit_code': 103582791463081882, 'n': 8, 'trace_an': 6}
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id: 255823008
{'hecke_orbit_code': 103582791463081882, 'n': 9, 'trace_an': 6}
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id: 255823009
{'hecke_orbit_code': 103582791463081882, 'n': 10, 'trace_an': -8}
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id: 255823010
{'hecke_orbit_code': 103582791463081882, 'n': 11, 'trace_an': 3}
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