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mf_newforms • Show schema
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{'Nk2': 7400, 'analytic_conductor': 14.772324373936872, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1850, 2, [1777, 1001], [1, 2]], 'cm_discs': [], 'conrey_index': 149, 'conrey_indexes': [149], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4, 0, 1]], [7, [1, 0, 1]], [13, [16, 0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021666517255994, 'hecke_ring_generator_nbound': 2, '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, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, -1], [0, 2], [-1, 0], [0, 0], [2, 0], [0, -1], [0, 1], [-1, 0], [0, 0], [3, 0], [0, -2], [0, 4], [-1, 0], [0, 0], [1, 0], [0, 3], [0, 1], [-2, 0], [0, 0], [2, 0], [0, -3], [0, -6], [-2, 0], [0, 0], [4, 0], [0, 4], [0, 1], [-3, 0], [0, 0], [5, 0], [0, -1], [0, 6], [3, 0], [0, 0], [1, 0], [0, 1], [0, 2], [-8, 0], [0, 0], [3, 0], [0, -2], [0, 1], [-3, 0], [0, 0], [-6, 0], [0, 12], [0, 2], [6, 0], [0, 0], [-6, 0], [0, -4], [0, -3], [4, 0], [0, 0], [1, 0], [0, -4], [0, 3], [0, 0], [0, 0], [-1, 0], [0, -5], [0, 1], [-1, 0], [0, 0], [6, 0], [0, -4], [0, -3], [12, 0], [0, 0], [6, 0], [0, -1], [0, 16], [1, 0], [0, 0], [2, 0], [0, -3], [0, 8], [-8, 0], [0, 0], [-11, 0], [0, -3], [0, 12], [-2, 0], [0, 0], [1, 0], [0, -6], [0, 3], [6, 0], [0, 0], [4, 0], [0, 6], [0, 10], [12, 0], [0, 0], [2, 0], [0, 17], [0, -6], [-3, 0], [0, 0]], 'ap': [[0, -1], [0, 2], [0, 0], [0, -1], [3, 0], [0, 4], [0, 3], [-2, 0], [0, -6], [-3, 0], [5, 0], [0, 1], [3, 0], [0, 1], [0, 12], [0, -3], [0, 0], [-1, 0], [0, -4], [6, 0], [0, 16], [-8, 0], [0, 12], [6, 0], [0, 17], [-6, 0], [0, 4], [0, 6], [-11, 0], [0, -9], [0, 20], [0, 0], [0, 12], [13, 0], [-6, 0], [8, 0], [0, -13], [0, -11], [0, 12], [0, -15], [0, 0], [2, 0], [3, 0], [0, -14], [0, -6], [16, 0], [5, 0], [0, -17], [0, -27], [-14, 0], [0, 0], [9, 0], [-28, 0], [18, 0], [0, 18], [0, -9], [18, 0], [2, 0], [0, -28], [24, 0], [0, 4], [0, -21], [0, -34], [-9, 0], [0, -26], [0, -21], [26, 0], [0, -4], [0, -12], [-26, 0], [0, 21], [36, 0], [0, 35], [0, 22], [16, 0], [0, 24], [-9, 0], [0, -34], [6, 0], [-32, 0], [36, 0], [-10, 0], [15, 0], [0, -2], [-35, 0], [0, -30], [-6, 0], [0, 17], [33, 0], [0, 4], [0, 27], [-24, 0], [0, 2], [-12, 0], [-14, 0], [0, -12], [0, 0], [-39, 0], [0, -20], [2, 0], [0, -1], [0, 12], [0, 3], [6, 0], [-31, 0], [0, -34], [0, 27], [0, 36], [-12, 0], [-19, 0], [0, -22], [0, -29], [0, 0], [-35, 0], [-7, 0], [15, 0], [0, 13], [0, -48], [0, -30], [36, 0], [5, 0], [0, 10], [0, -42], [0, 15], [-19, 0], [30, 0], [-35, 0], [42, 0], [0, -28], [0, 31], [-11, 0], [0, 51], [14, 0], [0, -34], [27, 0], [40, 0], [0, 39], [0, -22], [0, -18], [30, 0], [-16, 0], [36, 0], [0, 40], [0, -3], [-47, 0], [48, 0], [0, 10], [0, -15], [40, 0], [0, -39], [0, -13], [15, 0], [0, -29], [0, 33], [0, -28], [-24, 0], [16, 0], [-45, 0], [0, 38], [-18, 0], [0, 33], [0, 60], [0, -40], [57, 0], [0, -45], [0, -51], [47, 0], [0, -28], [7, 0], [0, -42], [30, 0], [23, 0], [3, 0], [0, 28], [-14, 0], [-30, 0], [62, 0], [30, 0], [0, -11], [-8, 0], [0, -46], [0, 0], [0, 22], [0, 33], [0, -39], [-30, 0], [0, -7], [0, -35], [4, 0], [-12, 0], [0, 34], [0, -24], [-34, 0], [0, 0], [0, 42], [0, 18], [-58, 0], [0, 28], [0, -18], [0, 6], [30, 0], [8, 0], [0, -13], [55, 0], [27, 0], [0, -48], [-2, 0], [0, 36], [6, 0], [5, 0], [0, -43], [15, 0], [0, -8], [0, 42], [-57, 0], [71, 0], [0, 32], [-60, 0], [0, 48], [0, -21], [-58, 0], [4, 0], [-39, 0], [0, -56], [0, 36], [-26, 0], [0, 24], [30, 0], [0, 35], [-42, 0], [0, 49], [-56, 0], [68, 0], [6, 0], [0, 10], [0, -63], [58, 0], [0, -24], [-48, 0], [0, 0], [0, -39], [20, 0], [0, 40], [-29, 0], [0, -6], [9, 0], [0, -34], [0, 0], [-5, 0], [0, -36], [0, -58], [18, 0], [0, 27], [-8, 0], [0, 66], [-21, 0], [20, 0], [0, 62], [0, 39], [0, -25], [0, 10], [0, 24], [-50, 0], [0, -11], [0, 30], [19, 0], [48, 0], [72, 0], [0, 76], [0, -42], [-22, 0], [0, -43], [0, 10], [31, 0], [0, -22], [0, -65], [0, 42], [46, 0], [-79, 0], [24, 0], [0, -24], [23, 0], [0, 9], [-28, 0], [0, -4], [-6, 0], [0, 43], [0, -21], [-8, 0], [6, 0], [21, 0], [0, -60], [0, -24], [75, 0], [0, 37], [18, 0], [-10, 0], [0, -78], [-6, 0], [0, 62], [0, -41], [0, 18], [52, 0]], 'char_orbit_index': 2, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 27021666517255994, 'hecke_ring_character_values': [[1777, [-1, 0]], [1001, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '1850.2.b.g', 'level': 1850, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 7400, 'analytic_conductor': 14.772324373936872, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1850, 2, [1777, 1001], [1, 2]], 'conrey_index': 149, 'cusp_dim': 274, 'dim': 54, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13], 'hecke_orbit_code': 68753033018, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6], 'label': '1850.2.b', 'level': 1850, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 37], 'level_radical': 370, 'mf_dim': 298, 'mf_new_dim': 54, 'num_forms': 16, 'prim_orbit_index': 2, 'relative_dim': 54, 'sturm_bound': 570, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [54, 0, 0, -54, 0, 4, 0, 0, -78, 0, 8, 0, 0, 0, 0, 54, 0, 0, 20, 0, 8, 0, 0, -4, 0, 0, 0, 0, 4, 0, -8, 0, 0, 0, 0, 78, 0, 0, 24, 0, 8, 0, 0, -8, 0, 24, 0, 0, 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472, 0, 0, -132, 0, 8, 0, 0, -424, 0, 108, 0, 0, 0, 0, -160, 0, 0, 8, 0, 492, 0, 0, -336, 0, 6, 0, 0, 216, 0, 128, 0, 0, -24, 0, 216, 0, 0, -244, 0, -72, 0, 0, -384, 0, 44, 0, 0, -1184, 0, -112, 0, 0, -36, 0, 248, 0, 0, -44, 0, -128, 0, 0, -320, 0, -104, 0, 0, 424, 0, -88, 0, 0, 8, 0, 276, 0, 0, 760, 0, -120, 0, 0, -412, 0, -200, 0, 0, 352, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 826435
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1850.2.b.g', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '370.2.a.a', 'target_level': 370, 'twist_class_label': '370.2.a.a', 'twist_class_level': 370, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 826436
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1850.2.b.g', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1850.2.a.o', 'target_level': 1850, 'twist_class_label': '370.2.a.a', 'twist_class_level': 370, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 826437
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1850.2.b.g', 'source_level': 1850, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1850.2.b.g', 'target_level': 1850, 'twist_class_label': '370.2.a.a', 'twist_class_level': 370, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 826438
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1850.2.b.g', 'source_level': 1850, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1850.2.b.g', 'target_level': 1850, 'twist_class_label': '370.2.a.a', 'twist_class_level': 370, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 826439
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1850.2.b.g', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2960.2.a.j', 'target_level': 2960, 'twist_class_label': '370.2.a.a', 'twist_class_level': 370, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 826440
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1850.2.b.g', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '3330.2.a.v', 'target_level': 3330, 'twist_class_label': '370.2.a.a', 'twist_class_level': 370, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2253100
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 27021666517255994, 'p': 2}
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id: 2253101
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 27021666517255994, 'p': 3}
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id: 2253102
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021666517255994, 'p': 5}
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id: 2253103
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 27021666517255994, 'p': 7}
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id: 2253104
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 27021666517255994, 'p': 11}
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id: 2253105
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 27021666517255994, 'p': 13}
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id: 2253106
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 27021666517255994, 'p': 17}
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id: 2253107
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 27021666517255994, 'p': 19}
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id: 2253108
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 27021666517255994, 'p': 23}
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id: 2253109
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 27021666517255994, 'p': 29}
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id: 2253110
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 27021666517255994, 'p': 31}
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id: 2253111
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 27021666517255994, 'p': 37}
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id: 2253112
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 27021666517255994, 'p': 41}
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id: 2253113
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 27021666517255994, 'p': 43}
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id: 2253114
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 27021666517255994, 'p': 47}
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id: 2253115
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 27021666517255994, 'p': 53}
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id: 2253116
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021666517255994, 'p': 59}
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id: 2253117
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 27021666517255994, 'p': 61}
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id: 2253118
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 27021666517255994, 'p': 67}
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id: 2253119
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 27021666517255994, 'p': 71}
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id: 2253120
{'charpoly_factorization': [[[256, 0, 1], 1]], 'hecke_orbit_code': 27021666517255994, 'p': 73}
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id: 2253121
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 27021666517255994, 'p': 79}
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id: 2253122
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 27021666517255994, 'p': 83}
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id: 2253123
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 27021666517255994, 'p': 89}
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id: 2253124
{'charpoly_factorization': [[[289, 0, 1], 1]], 'hecke_orbit_code': 27021666517255994, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 7, 'label': '1850.2.b.g', 'level': 1850, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 182469000
{'hecke_orbit_code': 27021666517255994, 'n': 1, 'trace_an': 2}
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id: 182469001
{'hecke_orbit_code': 27021666517255994, 'n': 2, 'trace_an': 0}
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id: 182469002
{'hecke_orbit_code': 27021666517255994, 'n': 3, 'trace_an': 0}
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id: 182469003
{'hecke_orbit_code': 27021666517255994, 'n': 4, 'trace_an': -2}
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id: 182469004
{'hecke_orbit_code': 27021666517255994, 'n': 5, 'trace_an': 0}
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id: 182469005
{'hecke_orbit_code': 27021666517255994, 'n': 6, 'trace_an': 4}
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id: 182469006
{'hecke_orbit_code': 27021666517255994, 'n': 7, 'trace_an': 0}
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id: 182469007
{'hecke_orbit_code': 27021666517255994, 'n': 8, 'trace_an': 0}
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id: 182469008
{'hecke_orbit_code': 27021666517255994, 'n': 9, 'trace_an': -2}
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id: 182469009
{'hecke_orbit_code': 27021666517255994, 'n': 10, 'trace_an': 0}
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id: 182469010
{'hecke_orbit_code': 27021666517255994, 'n': 11, 'trace_an': 6}
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