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mf_newforms • Show schema
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{'Nk2': 5328, 'analytic_conductor': 10.636073549234547, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 37, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [1332, 3, [667, 1037, 1297], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 433, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [4, -2, 1]], [7, [9, -3, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007817763587380, 'hecke_ring_generator_nbound': 7, '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, 37, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'Nk2': 5328, 'analytic_conductor': 10.636073549234547, 'char_conductor': 37, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [1332, 3, [667, 1037, 1297], [3, 3, 1]], 'conrey_index': 433, 'cusp_dim': 432, 'dim': 34, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 618508846388, 'hecke_orbit_dims': [2, 2, 2, 4, 6, 6, 12], 'label': '1332.2.j', 'level': 1332, '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, 37], 'level_radical': 222, 'mf_dim': 480, 'mf_new_dim': 34, 'num_forms': 7, 'prim_orbit_index': 3, 'relative_dim': 17, 'sturm_bound': 456, 'trace_bound': 7, 'trace_display': [0, 0, -1, -1], 'traces': [34, 0, 0, 0, -1, 0, -1, 0, 0, 0, -8, 0, -3, 0, 0, 0, 3, 0, -1, 0, 0, 0, 12, 0, -20, 0, 0, 0, -12, 0, -48, 0, 0, 0, -11, 0, 2, 0, 0, 0, 13, 0, -8, 0, 0, 0, 4, 0, -30, 0, 0, 0, -11, 0, -16, 0, 0, 0, -5, 0, 17, 0, 0, 0, 23, 0, 3, 0, 0, 0, 9, 0, 28, 0, 0, 0, -20, 0, 3, 0, 0, 0, 7, 0, 18, 0, 0, 0, 17, 0, -19, 0, 0, 0, 13, 0, -20, 0, 0, 0, 16, 0, 0, 0, 0, 0, 9, 0, 25, 0, 0, 0, -21, 0, 4, 0, 0, 0, 62, 0, 42, 0, 0, 0, 6, 0, 33, 0, 0, 0, 3, 0, 3, 0, 0, 0, -24, 0, -51, 0, 0, 0, 6, 0, -34, 0, 0, 0, -48, 0, 19, 0, 0, 0, 24, 0, 21, 0, 0, 0, 2, 0, -15, 0, 0, 0, 19, 0, -60, 0, 0, 0, 23, 0, -24, 0, 0, 0, 16, 0, -39, 0, 0, 0, -11, 0, 48, 0, 0, 0, -108, 0, -60, 0, 0, 0, 23, 0, 32, 0, 0, 0, 76, 0, 15, 0, 0, 0, 30, 0, -24, 0, 0, 0, -50, 0, 16, 0, 0, 0, -90, 0, -40, 0, 0, 0, -45, 0, 13, 0, 0, 0, -76, 0, -4, 0, 0, 0, -3, 0, -27, 0, 0, 0, 32, 0, 53, 0, 0, 0, -156, 0, 72, 0, 0, 0, -33, 0, 99, 0, 0, 0, 13, 0, 242, 0, 0, 0, 28, 0, -15, 0, 0, 0, -26, 0, -59, 0, 0, 0, -13, 0, -53, 0, 0, 0, 71, 0, 4, 0, 0, 0, 13, 0, 82, 0, 0, 0, -66, 0, 12, 0, 0, 0, -21, 0, 24, 0, 0, 0, 63, 0, 97, 0, 0, 0, 51, 0, -88, 0, 0, 0, 74, 0, 168, 0, 0, 0, 90, 0, 9, 0, 0, 0, -97, 0, -55, 0, 0, 0, 232, 0, -122, 0, 0, 0, -56, 0, -35, 0, 0, 0, 13, 0, 45, 0, 0, 0, 36, 0, -62, 0, 0, 0, -74, 0, -21, 0, 0, 0, 14, 0, 77, 0, 0, 0, 38, 0, -55, 0, 0, 0, 19, 0, -112, 0, 0, 0, 47, 0, 60, 0, 0, 0, -25, 0, -220, 0, 0, 0, 24, 0, -16, 0, 0, 0, -40, 0, 57, 0, 0, 0, -158, 0, -230, 0, 0, 0, 121, 0, -68, 0, 0, 0, 90, 0, -15, 0, 0, 0, -3, 0, 52, 0, 0, 0, -70, 0, 15, 0, 0, 0, -112, 0, 194, 0, 0, 0, -25, 0, -80, 0, 0, 0, -134, 0, 29, 0, 0, 0, -29, 0, -73, 0, 0, 0, 148, 0, -65, 0, 0, 0, -180, 0, -144, 0, 0, 0, -119, 0, -31, 0, 0, 0, 80, 0, 112, 0, 0, 0, 100, 0, -42, 0, 0, 0, -7, 0, -77, 0, 0, 0, -75, 0, -142, 0, 0, 0, 131, 0, 186, 0, 0, 0, 72, 0, 72, 0, 0, 0, -103, 0, 99, 0, 0, 0, 4, 0, 266, 0, 0, 0, 111, 0, 13, 0, 0, 0, 56, 0, 60, 0, 0, 0, 210, 0, 304, 0, 0, 0, 78, 0, 31, 0, 0, 0, -53, 0, -76, 0, 0, 0, 176, 0, -214, 0, 0, 0, -28, 0, 5, 0, 0, 0, -8, 0, 97, 0, 0, 0, 34, 0, -28, 0, 0, 0, 15, 0, -4, 0, 0, 0, -264, 0, 135, 0, 0, 0, -27, 0, -3, 0, 0, 0, -9, 0, -71, 0, 0, 0, 16, 0, -55, 0, 0, 0, 31, 0, 72, 0, 0, 0, 98, 0, -131, 0, 0, 0, -111, 0, 49, 0, 0, 0, -202, 0, -284, 0, 0, 0, 93, 0, 88, 0, 0, 0, 171, 0, 16, 0, 0, 0, 139, 0, -174, 0, 0, 0, -81, 0, 13, 0, 0, 0, -170, 0, 48, 0, 0, 0, -80, 0, -71, 0, 0, 0, -252, 0, 30, 0, 0, 0, -47, 0, 70, 0, 0, 0, -2, 0, 25, 0, 0, 0, -242, 0, -102, 0, 0, 0, -101, 0, -77, 0, 0, 0, 70, 0, 100, 0, 0, 0, -24, 0, -252, 0, 0, 0, -79, 0, -96, 0, 0, 0, -62, 0, 143, 0, 0, 0, 176, 0, -11, 0, 0, 0, 62, 0, 264, 0, 0, 0, -141, 0, 10, 0, 0, 0, -47, 0, 64, 0, 0, 0, 121, 0, -139, 0, 0, 0, 133, 0, -274, 0, 0, 0, 170, 0, -76, 0, 0, 0, 127, 0, 332, 0, 0, 0, -143, 0, -24, 0, 0, 0, 462, 0, 128, 0, 0, 0, -14, 0, 183, 0, 0, 0, -53, 0, 0, 0, 0, 0, -8, 0, -292, 0, 0, 0, -63, 0, -137, 0, 0, 0, -14, 0, 132, 0, 0, 0, 127, 0, 17, 0, 0, 0, 21, 0, -95, 0, 0, 0, 80, 0, -239, 0, 0, 0, 45, 0, -202, 0, 0, 0, 104, 0, -105, 0, 0, 0, 42, 0, 237, 0, 0, 0, -372, 0, -240, 0, 0, 0, 215, 0, 210, 0, 0, 0, 150, 0, -15, 0, 0, 0, -9, 0, 28, 0, 0, 0, -123, 0, 55, 0, 0, 0, -308, 0, -10, 0, 0, 0, -84, 0, 44, 0, 0, 0, -96, 0, 15, 0, 0, 0, -33, 0, -81, 0, 0, 0, 148, 0, -32, 0, 0, 0, -214, 0, 168, 0, 0, 0, -177, 0, 364, 0, 0, 0, 99, 0, 364, 0, 0, 0, 244, 0, -39, 0, 0, 0, -15, 0, -340, 0, 0, 0, -47, 0, -58, 0, 0, 0, 259, 0, -40, 0, 0, 0, 130, 0, 82, 0, 0, 0, -170, 0, 119, 0, 0, 0, 13, 0, 126, 0, 0, 0, 173, 0, 84, 0, 0, 0, 25, 0, -70, 0, 0, 0, 260, 0, 200, 0, 0, 0, 76, 0, -95, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 709962
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1332.2.j.c', 'source_level': 1332, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '444.2.i.a', 'target_level': 444, 'twist_class_label': '444.2.i.a', 'twist_class_level': 444, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 709963
{'conductor': 111, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1332.2.j.c', 'source_level': 1332, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '444.2.i.a', 'target_level': 444, 'twist_class_label': '444.2.i.a', 'twist_class_level': 444, 'twisting_char_label': '111.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 709964
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1332.2.j.c', 'source_level': 1332, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1332.2.j.c', 'target_level': 1332, 'twist_class_label': '444.2.i.a', 'twist_class_level': 444, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 709965
{'conductor': 37, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1332.2.j.c', 'source_level': 1332, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1332.2.j.c', 'target_level': 1332, 'twist_class_label': '444.2.i.a', 'twist_class_level': 444, 'twisting_char_label': '37.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 709966
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1332.2.j.c', 'source_level': 1332, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1776.2.q.b', 'target_level': 1776, 'twist_class_label': '444.2.i.a', 'twist_class_level': 444, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 709967
{'conductor': 444, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1332.2.j.c', 'source_level': 1332, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1776.2.q.b', 'target_level': 1776, 'twist_class_label': '444.2.i.a', 'twist_class_level': 444, 'twisting_char_label': '444.t', 'twisting_char_orbit': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1872050
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007817763587380, 'p': 2}
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id: 1872051
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007817763587380, 'p': 3}
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id: 1872052
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 9007817763587380, 'p': 5}
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id: 1872053
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 9007817763587380, 'p': 7}
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id: 1872054
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 9007817763587380, 'p': 11}
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id: 1872055
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 9007817763587380, 'p': 13}
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id: 1872056
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007817763587380, 'p': 17}
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id: 1872057
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 9007817763587380, 'p': 19}
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id: 1872058
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 9007817763587380, 'p': 23}
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id: 1872059
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007817763587380, 'p': 29}
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id: 1872060
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 9007817763587380, 'p': 31}
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id: 1872061
{'charpoly_factorization': [[[37, 10, 1], 1]], 'hecke_orbit_code': 9007817763587380, 'p': 37}
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id: 1872062
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007817763587380, 'p': 41}
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id: 1872063
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 9007817763587380, 'p': 43}
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id: 1872064
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 9007817763587380, 'p': 47}
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id: 1872065
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 9007817763587380, 'p': 53}
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id: 1872066
{'charpoly_factorization': [[[100, 10, 1], 1]], 'hecke_orbit_code': 9007817763587380, 'p': 59}
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id: 1872067
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 9007817763587380, 'p': 61}
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id: 1872068
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 9007817763587380, 'p': 67}
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id: 1872069
{'charpoly_factorization': [[[144, -12, 1], 1]], 'hecke_orbit_code': 9007817763587380, 'p': 71}
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id: 1872070
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 9007817763587380, 'p': 73}
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id: 1872071
{'charpoly_factorization': [[[225, 15, 1], 1]], 'hecke_orbit_code': 9007817763587380, 'p': 79}
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id: 1872072
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 9007817763587380, 'p': 83}
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id: 1872073
{'charpoly_factorization': [[[100, 10, 1], 1]], 'hecke_orbit_code': 9007817763587380, 'p': 89}
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id: 1872074
{'charpoly_factorization': [[[-9, 1], 2]], 'hecke_orbit_code': 9007817763587380, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 10, 'hecke_orbit': 3, 'label': '1332.2.j.c', 'level': 1332, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 31293055
{'hecke_orbit_code': 9007817763587380, 'n': 1, 'trace_an': 2}
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id: 31293056
{'hecke_orbit_code': 9007817763587380, 'n': 2, 'trace_an': 0}
-
id: 31293057
{'hecke_orbit_code': 9007817763587380, 'n': 3, 'trace_an': 0}
-
id: 31293058
{'hecke_orbit_code': 9007817763587380, 'n': 4, 'trace_an': 0}
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id: 31293059
{'hecke_orbit_code': 9007817763587380, 'n': 5, 'trace_an': 2}
-
id: 31293060
{'hecke_orbit_code': 9007817763587380, 'n': 6, 'trace_an': 0}
-
id: 31293061
{'hecke_orbit_code': 9007817763587380, 'n': 7, 'trace_an': 3}
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id: 31293062
{'hecke_orbit_code': 9007817763587380, 'n': 8, 'trace_an': 0}
-
id: 31293063
{'hecke_orbit_code': 9007817763587380, 'n': 9, 'trace_an': 0}
-
id: 31293064
{'hecke_orbit_code': 9007817763587380, 'n': 10, 'trace_an': 0}
-
id: 31293065
{'hecke_orbit_code': 9007817763587380, 'n': 11, 'trace_an': -4}
-
id: 31293066
{'hecke_orbit_code': 9007817763587380, 'n': 12, 'trace_an': 0}
-
id: 31293067
{'hecke_orbit_code': 9007817763587380, 'n': 13, 'trace_an': 3}
-
id: 31293068
{'hecke_orbit_code': 9007817763587380, 'n': 14, 'trace_an': 0}
-
id: 31293069
{'hecke_orbit_code': 9007817763587380, 'n': 15, 'trace_an': 0}
-
id: 31293070
{'hecke_orbit_code': 9007817763587380, 'n': 16, 'trace_an': 0}
-
id: 31293071
{'hecke_orbit_code': 9007817763587380, 'n': 17, 'trace_an': 0}
-
id: 31293072
{'hecke_orbit_code': 9007817763587380, 'n': 18, 'trace_an': 0}
-
id: 31293073
{'hecke_orbit_code': 9007817763587380, 'n': 19, 'trace_an': 4}
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id: 31293074
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id: 31293312
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