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mf_newforms • Show schema
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{'Nk2': 7728, 'analytic_conductor': 15.42709767051137, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -1], [23, 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': [1932, 1, [967, 1289, 829, 925], [1, 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': [[5, [0, 1]], [11, [-3, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660926860, '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': True, 'label': '1932.2.a.b', 'level': 1932, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'minimal_twist': '1932.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{7}+q^{9}+3q^{11}+2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/1932/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1932.2.a', 'trace_display': [0, 1, 0, 1], 'trace_hash': 1165892341055618537, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.987', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.045', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.955', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [0], [0], [1], [0], [1], [0], [3], [0], [2], [0], [0], [0], [0], [0], [5], [0], [1], [0], [-1], [0], [-5], [0], [1], [0], [6], [0], [-10], [0], [3], [0], [0], [0], [2], [0], [2], [0], [3], [0], [-4], [0], [0], [0], [3], [0], [1], [0], [0], [0], [3], [0], [0], [0], [5], [0], [9], [0], [-1], [0], [1], [0], [0], [0], [8], [0], [-1], [0], [-12], [0], [8], [0], [-5], [0], [3], [0], [14], [0], [1], [0], [6], [0], [0], [0], [6], [0], [-6], [0], [2], [0], [-10], [0], [0], [0], [-10], [0], [3], [0]], 'ap': [[0], [1], [0], [1], [3], [2], [0], [5], [-1], [6], [-10], [2], [3], [-4], [3], [3], [9], [-1], [8], [-12], [8], [14], [6], [-6], [-10], [15], [-1], [12], [-4], [-6], [-13], [3], [15], [-4], [-15], [-1], [-13], [11], [15], [6], [-12], [2], [-3], [-19], [-6], [-7], [-13], [-10], [-30], [-25], [24], [0], [17], [18], [15], [3], [-30], [20], [-13], [-18], [20], [-12], [20], [-3], [-1], [6], [11], [-22], [18], [-10], [-18], [24], [-31], [-10], [-34], [-6], [-6], [-22], [-3], [14], [-6], [-28], [15], [-19], [8], [12], [-30], [-22], [30], [-1], [18], [-12], [-4], [18], [-4], [-24], [15], [18], [5], [-25], [8], [-30], [0], [-39], [-40], [14], [-33], [-6], [-42], [20], [32], [-34], [-18], [20], [-34], [9], [23], [-36], [0], [-24], [-25], [-7], [48], [48], [32], [-21], [26], [0], [35], [26], [-4], [-21], [32], [-16], [-27], [-10], [-24], [23], [-18], [-18], [38], [36], [-31], [3], [14], [30], [-4], [39], [-4], [-42], [-13], [42], [32], [0], [32], [0], [38], [30], [29], [12], [-12], [15], [44], [-42], [-21], [6], [23], [44], [-22], [-45], [51], [14], [-45], [44], [38], [30], [-43], [-42], [-7], [-58], [53], [6], [5], [63], [39], [30], [-43], [-28], [-7], [-48], [14], [12], [20], [39], [-21], [-24], [-46], [-10], [48], [39], [15], [32], [14], [-1], [-30], [-15], [-16], [66], [0], [50], [29], [21], [-10], [-18], [-24], [38], [5], [6], [-72], [18], [-25], [-67], [-48], [-16], [27], [-19], [18], [-36], [8], [60], [41], [-52], [20], [60], [-37], [-36], [17], [-6], [-12], [-72], [57], [-28], [20], [47], [-9], [-15], [-46], [6], [-58], [-51], [-4], [0], [-27], [-25], [-54], [-42], [-4], [47], [21], [38], [20], [51], [-46], [11], [-27], [-43], [-9], [-18], [-4], [-72], [-4], [-34], [74], [-10], [-40], [2], [60], [47], [44], [-60], [75], [80], [-42], [38], [50], [-30], [-10], [75], [56], [30], [21], [-18], [-6], [-36], [-46], [-60], [68], [81], [9], [-58], [-22], [-66], [2], [-24], [14], [59], [48], [-7], [-57], [-22], [-27], [78], [-45], [-40], [-57], [-19], [-27], [0], [-31], [72], [-85], [62], [-33], [53], [39], [-7], [-52], [80], [51], [69], [2], [-60], [-28], [3], [-16], [93], [38], [-42], [2], [-16], [-22], [-3], [-27], [-10], [-21], [-54], [20], [17], [66], [6], [-94], [-61], [-36], [35], [-10], [-33], [42], [-18], [18], [18], [-28], [-27], [48], [57], [44], [71], [21], [98], [2], [84], [56], [42], [-3], [35], [62], [-12], [-75], [65], [-12], [-4], [12], [54], [65], [-36], [-76], [57], [-55], [32], [-4], [-48], [68], [-33], [54], [-28], [9], [14], [29], [18], [26], [90], [-40], [60], [50], [-54], [-3], [26], [-100], [42], [-64], [-84], [-10], [-18], [63], [8], [-22], [30], [-6], [92], [-36], [72], [54], [-19], [102], [-36], [-52], [-57], [33], [78], [-70], [9]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 4503599660926860, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1932.2.a.b', 'level': 1932, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [23, -1]], 2, 1], [[[2, -1], [3, -1], [7, -1], [23, 1]], 3, 2], [[[2, -1], [3, 1], [7, -1], [23, -1]], 3, 1], [[[2, -1], [3, -1], [7, 1], [23, -1]], 3, 1], [[[2, -1], [3, 1], [7, -1], [23, 1]], 2, 1], [[[2, -1], [3, 1], [7, 1], [23, -1]], 2, 1], [[[2, -1], [3, -1], [7, 1], [23, 1]], 2, 1], [[[2, -1], [3, 1], [7, 1], [23, 1]], 3, 2]], 'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 3, 2, 3, 3, 2], 'Nk2': 7728, 'analytic_conductor': 15.42709767051137, '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': [1932, 1, [967, 1289, 829, 925], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 373, 'dim': 20, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 33556364, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 2, 2, 2, 3, 3], 'label': '1932.2.a', 'level': 1932, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'mf_dim': 396, 'mf_new_dim': 20, 'num_forms': 10, 'plus_dim': 8, 'prim_orbit_index': 1, 'relative_dim': 20, 'sturm_bound': 768, 'trace_bound': 7, 'trace_display': [0, 0, -8, 0], 'traces': [20, 0, 0, 0, -8, 0, 0, 0, 20, 0, 0, 0, -8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -24, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, -16, 0, 16, 0, -8, 0, -8, 0, 20, 0, 8, 0, 24, 0, 24, 0, 16, 0, 8, 0, 8, 0, 0, 0, 24, 0, 16, 0, 0, 0, -8, 0, 24, 0, 16, 0, 16, 0, -32, 0, 20, 0, 40, 0, 24, 0, -8, 0, -32, 0, 0, 0, -8, 0, 32, 0, 0, 0, 0, 0, -40, 0, 32, 0, -8, 0, 24, 0, -24, 0, 16, 0, 48, 0, 0, 0, -8, 0, -8, 0, -8, 0, -4, 0, -24, 0, 4, 0, -16, 0, 48, 0, -4, 0, 0, 0, 0, 0, 32, 0, -4, 0, 32, 0, 8, 0, 0, 0, -40, 0, -20, 0, -8, 0, 32, 0, -48, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, -44, 0, 0, 0, 8, 0, 16, 0, -20, 0, 16, 0, 0, 0, 0, 0, -64, 0, 32, 0, 0, 0, 24, 0, 20, 0, -8, 0, 72, 0, 24, 0, -16, 0, -16, 0, -32, 0, 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-248, 0, 48, 0, 160, 0, -256, 0, -120, 0, -80, 0, -8, 0, -24, 0, -232, 0, 32, 0, 32, 0, -128, 0, -24, 0, 20, 0, 8, 0, -160, 0, 256, 0, 0, 0, 456, 0, 8, 0, 8, 0, -188, 0, -88, 0, -360, 0, 16, 0, -208, 0, 96, 0, 0, 0, 32, 0, 120, 0, 24, 0, 56, 0, -592, 0, -304, 0, 32, 0, 16, 0, 192, 0, -16, 0, 8, 0, 64, 0, 120, 0, 0, 0, 224, 0, 128, 0, -88, 0, 200, 0, -16, 0, 240, 0, 80, 0, 40, 0, -104, 0, -40, 0, 16, 0, -200, 0, 488, 0, -8, 0, -224, 0, 128, 0, 24, 0, -56, 0, -352, 0, -80, 0, 136, 0, -48, 0, -20, 0, 200, 0, -324, 0, 136, 0, -16, 0, 8, 0, -40, 0, 224, 0, -224, 0, 0, 0, 32, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 844611
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1932.2.a.b', 'source_level': 1932, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1932.2.a.b', 'target_level': 1932, 'twist_class_label': '1932.2.a.b', 'twist_class_level': 1932, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 844612
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1932.2.a.b', 'source_level': 1932, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '5796.2.a.d', 'target_level': 5796, 'twist_class_label': '1932.2.a.b', 'twist_class_level': 1932, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 844613
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1932.2.a.b', 'source_level': 1932, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '7728.2.a.d', 'target_level': 7728, 'twist_class_label': '1932.2.a.b', 'twist_class_level': 1932, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2312450
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 2}
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id: 2312451
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 3}
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id: 2312452
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 5}
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id: 2312453
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 7}
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id: 2312454
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 11}
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id: 2312455
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 13}
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id: 2312456
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 17}
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id: 2312457
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 19}
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id: 2312458
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 23}
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id: 2312459
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 29}
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id: 2312460
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 31}
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id: 2312461
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 37}
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id: 2312462
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 41}
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id: 2312463
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 43}
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id: 2312464
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 47}
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id: 2312465
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 53}
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id: 2312466
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 59}
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id: 2312467
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 61}
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id: 2312468
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 67}
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id: 2312469
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 71}
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id: 2312470
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 73}
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id: 2312471
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 79}
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id: 2312472
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 83}
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id: 2312473
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 89}
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id: 2312474
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 4503599660926860, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '1932.2.a.b', 'level': 1932, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 64016000
{'hecke_orbit_code': 4503599660926860, 'n': 1, 'trace_an': 1}
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id: 64016001
{'hecke_orbit_code': 4503599660926860, 'n': 2, 'trace_an': 0}
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id: 64016002
{'hecke_orbit_code': 4503599660926860, 'n': 3, 'trace_an': 1}
-
id: 64016003
{'hecke_orbit_code': 4503599660926860, 'n': 4, 'trace_an': 0}
-
id: 64016004
{'hecke_orbit_code': 4503599660926860, 'n': 5, 'trace_an': 0}
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id: 64016005
{'hecke_orbit_code': 4503599660926860, 'n': 6, 'trace_an': 0}
-
id: 64016006
{'hecke_orbit_code': 4503599660926860, 'n': 7, 'trace_an': 1}
-
id: 64016007
{'hecke_orbit_code': 4503599660926860, 'n': 8, 'trace_an': 0}
-
id: 64016008
{'hecke_orbit_code': 4503599660926860, 'n': 9, 'trace_an': 1}
-
id: 64016009
{'hecke_orbit_code': 4503599660926860, 'n': 10, 'trace_an': 0}
-
id: 64016010
{'hecke_orbit_code': 4503599660926860, 'n': 11, 'trace_an': 3}
-
id: 64016011
{'hecke_orbit_code': 4503599660926860, 'n': 12, 'trace_an': 0}
-
id: 64016012
{'hecke_orbit_code': 4503599660926860, 'n': 13, 'trace_an': 2}
-
id: 64016013
{'hecke_orbit_code': 4503599660926860, 'n': 14, 'trace_an': 0}
-
id: 64016014
{'hecke_orbit_code': 4503599660926860, 'n': 15, 'trace_an': 0}
-
id: 64016015
{'hecke_orbit_code': 4503599660926860, 'n': 16, 'trace_an': 0}
-
id: 64016016
{'hecke_orbit_code': 4503599660926860, 'n': 17, 'trace_an': 0}
-
id: 64016017
{'hecke_orbit_code': 4503599660926860, 'n': 18, 'trace_an': 0}
-
id: 64016018
{'hecke_orbit_code': 4503599660926860, 'n': 19, 'trace_an': 5}
-
id: 64016019
{'hecke_orbit_code': 4503599660926860, 'n': 20, 'trace_an': 0}
-
id: 64016020
{'hecke_orbit_code': 4503599660926860, 'n': 21, 'trace_an': 1}
-
id: 64016021
{'hecke_orbit_code': 4503599660926860, 'n': 22, 'trace_an': 0}
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id: 64016022
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