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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, [4, 0, 1]], [13, [4, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503668380403514, '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, 2], [0, -1], [-1, 0], [0, 0], [0, 0], [0, -2], [0, -2], [-2, 0], [0, 0], [1, 0], [0, 6], [0, -1], [-2, 0], [0, 0], [-4, 0], [0, 0], [0, 0], [2, 0], [0, 0], [2, 0], [0, 4], [0, -2], [-6, 0], [0, 0], [-10, 0], [0, 1], [0, 0], [-6, 0], [0, 0], [1, 0], [0, 1], [0, -2], [4, 0], [0, 0], [-6, 0], [0, -4], [0, 4], [0, 0], [0, 0], [0, 0], [0, -6], [0, 2], [3, 0], [0, 0], [-12, 0], [0, 2], [0, -6], [-4, 0], [0, 0], [2, 0], [0, -4], [0, -6], [6, 0], [0, 0], [-10, 0], [0, -10], [0, -2], [-1, 0], [0, 0], [0, 0], [0, 2], [0, -6], [0, 0], [0, 0], [0, 0], [0, 1], [0, -2], [-1, 0], [0, 0], [2, 0], [0, 0], [0, 4], [10, 0], [0, 0], [-11, 0], [0, -6], [0, 6], [4, 0], [0, 0], [-4, 0], [0, -12], [0, 0], [6, 0], [0, 0], [4, 0], [0, 0], [0, -20], [6, 0], [0, 0], [-2, 0], [0, 2], [0, 3], [0, 0], [0, 0]], 'ap': [[0, 1], [0, 2], [0, 0], [0, 2], [0, 0], [0, -2], [0, 6], [-2, 0], [0, 0], [-6, 0], [-10, 0], [0, 1], [-6, 0], [0, 4], [0, -6], [0, -6], [6, 0], [-10, 0], [0, 2], [0, 0], [0, -2], [10, 0], [0, 6], [6, 0], [0, 2], [18, 0], [0, 4], [0, 6], [-14, 0], [0, -6], [0, 2], [-6, 0], [0, -6], [4, 0], [-18, 0], [20, 0], [0, -10], [0, 16], [0, 12], [0, 18], [-6, 0], [-22, 0], [-6, 0], [0, -2], [0, -18], [22, 0], [20, 0], [0, -14], [0, 24], [10, 0], [0, -18], [-6, 0], [-22, 0], [18, 0], [0, 6], [0, 6], [6, 0], [-16, 0], [0, 26], [18, 0], [0, 16], [0, -6], [0, 26], [-18, 0], [0, 22], [0, -18], [-10, 0], [0, 2], [0, -12], [-26, 0], [0, 30], [-36, 0], [0, 2], [0, 34], [16, 0], [0, 0], [-6, 0], [0, 14], [-6, 0], [-2, 0], [-24, 0], [-10, 0], [30, 0], [0, -2], [22, 0], [0, -6], [30, 0], [0, 26], [6, 0], [0, 40], [0, 0], [18, 0], [0, 20], [36, 0], [-14, 0], [0, 0], [-30, 0], [30, 0], [0, 4], [14, 0], [0, 44], [0, -30], [0, -36], [6, 0], [-28, 0], [0, 38], [0, -36], [0, 6], [36, 0], [38, 0], [0, 32], [0, 34], [0, -30], [4, 0], [14, 0], [30, 0], [0, -32], [0, 48], [0, 18], [36, 0], [14, 0], [0, -26], [0, -42], [0, -36], [8, 0], [30, 0], [-38, 0], [36, 0], [0, 32], [0, -14], [-20, 0], [0, -18], [-4, 0], [0, -10], [-6, 0], [-26, 0], [0, 18], [0, -10], [0, -30], [6, 0], [20, 0], [-42, 0], [0, 34], [0, 24], [34, 0], [0, 0], [0, 10], [0, 42], [-50, 0], [0, -54], [0, -10], [-42, 0], [0, -56], [0, -42], [0, 8], [-30, 0], [46, 0], [30, 0], [0, 26], [-30, 0], [0, 48], [0, -42], [0, -4], [-36, 0], [0, 18], [0, -18], [-34, 0], [0, -10], [10, 0], [0, 42], [-6, 0], [38, 0], [30, 0], [0, -26], [40, 0], [30, 0], [-22, 0], [-30, 0], [0, -2], [-62, 0], [0, 8], [-54, 0], [0, -50], [0, -6], [0, -42], [42, 0], [0, 38], [0, -20], [22, 0], [36, 0], [0, 34], [0, 30], [50, 0], [30, 0], [0, -54], [0, 6], [-22, 0], [0, -26], [0, 42], [0, -36], [-6, 0], [8, 0], [0, -58], [-62, 0], [-24, 0], [0, 42], [64, 0], [0, -6], [6, 0], [-52, 0], [0, 14], [30, 0], [0, 16], [0, -18], [-42, 0], [-10, 0], [0, -64], [66, 0], [0, 12], [0, 18], [-22, 0], [64, 0], [-30, 0], [0, -56], [0, 42], [10, 0], [0, 54], [-12, 0], [0, -10], [-18, 0], [0, 34], [16, 0], [20, 0], [-6, 0], [0, 10], [0, 42], [-50, 0], [0, 6], [6, 0], [54, 0], [0, -12], [50, 0], [0, 34], [-62, 0], [0, -18], [42, 0], [0, -28], [-66, 0], [4, 0], [0, 12], [0, -22], [30, 0], [0, 42], [-2, 0], [0, -78], [-12, 0], [-10, 0], [0, 26], [0, 30], [0, 74], [0, 16], [0, 36], [58, 0], [0, -62], [0, -18], [-8, 0], [6, 0], [42, 0], [0, 58], [0, -66], [-10, 0], [0, -16], [0, -62], [22, 0], [0, 2], [0, 34], [0, 42], [-14, 0], [74, 0], [-42, 0], [0, -54], [-58, 0], [0, 42], [-10, 0], [0, 80], [-60, 0], [0, -14], [0, -66], [-26, 0], [-42, 0], [6, 0], [0, -36], [0, 54], [-36, 0], [0, -38], [66, 0], [-4, 0], [0, -30], [-6, 0], [0, 62], [0, 22], [0, -42], [-20, 0]], 'char_orbit_index': 2, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 4503668380403514, '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.b', '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: 826409
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1850.2.b.b', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '370.2.a.d', 'target_level': 370, 'twist_class_label': '370.2.a.d', 'twist_class_level': 370, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 826410
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1850.2.b.b', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1850.2.a.f', 'target_level': 1850, 'twist_class_label': '370.2.a.d', 'twist_class_level': 370, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 826411
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1850.2.b.b', 'source_level': 1850, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1850.2.b.b', 'target_level': 1850, 'twist_class_label': '370.2.a.d', 'twist_class_level': 370, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 826412
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1850.2.b.b', 'source_level': 1850, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1850.2.b.b', 'target_level': 1850, 'twist_class_label': '370.2.a.d', 'twist_class_level': 370, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 826413
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1850.2.b.b', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2960.2.a.m', 'target_level': 2960, 'twist_class_label': '370.2.a.d', 'twist_class_level': 370, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 826414
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1850.2.b.b', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '3330.2.a.d', 'target_level': 3330, 'twist_class_label': '370.2.a.d', '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: 2252950
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 4503668380403514, 'p': 2}
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id: 2252951
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 4503668380403514, 'p': 3}
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id: 2252952
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503668380403514, 'p': 5}
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id: 2252953
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 4503668380403514, 'p': 7}
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id: 2252954
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503668380403514, 'p': 11}
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id: 2252955
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 4503668380403514, 'p': 13}
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id: 2252956
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 4503668380403514, 'p': 17}
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id: 2252957
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 4503668380403514, 'p': 19}
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id: 2252958
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503668380403514, 'p': 23}
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id: 2252959
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 4503668380403514, 'p': 29}
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id: 2252960
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 4503668380403514, 'p': 31}
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id: 2252961
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 4503668380403514, 'p': 37}
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id: 2252962
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 4503668380403514, 'p': 41}
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id: 2252963
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 4503668380403514, 'p': 43}
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id: 2252964
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 4503668380403514, 'p': 47}
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id: 2252965
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 4503668380403514, 'p': 53}
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id: 2252966
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 4503668380403514, 'p': 59}
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id: 2252967
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 4503668380403514, 'p': 61}
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id: 2252968
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 4503668380403514, 'p': 67}
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id: 2252969
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503668380403514, 'p': 71}
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id: 2252970
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 4503668380403514, 'p': 73}
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id: 2252971
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 4503668380403514, 'p': 79}
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id: 2252972
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 4503668380403514, 'p': 83}
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id: 2252973
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 4503668380403514, 'p': 89}
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id: 2252974
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 4503668380403514, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 2, 'label': '1850.2.b.b', '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: 79207000
{'hecke_orbit_code': 4503668380403514, 'n': 1, 'trace_an': 2}
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id: 79207001
{'hecke_orbit_code': 4503668380403514, 'n': 2, 'trace_an': 0}
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id: 79207002
{'hecke_orbit_code': 4503668380403514, 'n': 3, 'trace_an': 0}
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id: 79207003
{'hecke_orbit_code': 4503668380403514, 'n': 4, 'trace_an': -2}
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id: 79207004
{'hecke_orbit_code': 4503668380403514, 'n': 5, 'trace_an': 0}
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id: 79207005
{'hecke_orbit_code': 4503668380403514, 'n': 6, 'trace_an': -4}
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id: 79207006
{'hecke_orbit_code': 4503668380403514, 'n': 7, 'trace_an': 0}
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id: 79207007
{'hecke_orbit_code': 4503668380403514, 'n': 8, 'trace_an': 0}
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id: 79207008
{'hecke_orbit_code': 4503668380403514, 'n': 9, 'trace_an': -2}
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id: 79207009
{'hecke_orbit_code': 4503668380403514, 'n': 10, 'trace_an': 0}
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id: 79207010
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