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{'Nk2': 17100, 'analytic_conductor': 34.136046864097366, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [19, 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': [4275, 1, [1901, 1027, 1351], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 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': [[2, [-1, 1]], [7, [-2, 1]], [11, [-2, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816745651, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4275.2.a.o', 'level': 4275, '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': [3, 5, 19], 'level_radical': 285, 'minimal_twist': '285.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-q^{4}+2q^{7}-3q^{8}+2q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/4275/o'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4275.2.a', 'trace_display': [1, 0, 0, 2], 'trace_hash': 2038391789413971964, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.979', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.039', 'prec': 17}, 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'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [1], [0], [-1], [0], [0], [2], [-3], [0], [0], [2], [0], [4], [2], [0], [-1], [2], [0], [-1], [0], [0], [2], [-4], [0], [0], [4], [0], [-2], [-4], [0], [0], [5], [0], [2], [0], [0], [0], [-1], [0], [0], [0], [0], [10], [-2], [0], [-4], [12], [0], [-3], [0], [0], [-4], [-2], [0], [0], [-6], [0], [-4], [-4], [0], [2], [0], [0], [7], [0], [0], [16], [-2], [0], [0], [0], [0], [2], [0], [0], [1], [4], [0], [-8], [0], [0], [0], [-12], [0], [0], [10], [0], [-6], [0], [0], [8], [4], [0], [12], [0], [0], [16], [-3], [0], [0]], 'ap': [[1], [0], [0], [2], [2], [4], [2], [-1], [-4], [-4], [0], [0], [0], [10], [12], [-2], [-4], [2], [16], [0], [2], [-8], [-12], [0], [16], [-14], [8], [-12], [10], [14], [-4], [14], [6], [8], [18], [24], [18], [6], [-8], [18], [12], [10], [18], [-4], [-2], [12], [-12], [-24], [12], [-14], [-18], [6], [26], [-22], [22], [-16], [-4], [12], [-22], [-28], [-26], [26], [0], [18], [14], [14], [-28], [-16], [-28], [-18], [-2], [2], [-10], [-4], [-20], [8], [30], [2], [-12], [-26], [26], [-34], [4], [36], [-40], [16], [0], [14], [-6], [22], [16], [-38], [-8], [6], [32], [-8], [24], [12], [28], [-42], [-16], [-38], [12], [0], [-24], [-42], [-32], [-18], [-36], [30], [16], [18], [-6], [16], [48], [24], [-26], [-24], [-18], [-16], [18], [-24], [-50], [12], [-16], [34], [18], [-42], [14], [-34], [4], [-8], [0], [-10], [-6], [-46], [14], [-28], [-14], [-2], [4], [-6], [14], [36], [-38], [-24], [-10], [10], [-12], [40], [-12], [10], [46], [-24], [-52], [0], [32], [-10], [42], [60], [-52], [46], [-34], [24], [18], [16], [8], [2], [-38], [58], [-24], [-10], [-46], [30], [0], [54], [0], [-30], [40], [14], [2], [0], [-28], [38], [-28], [10], [0], [-36], [14], [-58], [20], [-56], [20], [12], [48], [46], [14], [-10], [2], [36], [68], [56], [52], [-38], [-10], [-18], [-16], [36], [42], [-12], [-18], [-42], [22], [-52], [-20], [-34], [-58], [60], [-48], [14], [-18], [-64], [-24], [50], [-28], [-10], [-66], [-12], [28], [62], [38], [-4], [-32], [0], [74], [12], [30], [42], [-18], [-4], [-20], [-36], [-70], [34], [-22], [-18], [-38], [36], [-68], [24], [14], [-66], [-48], [-10], [14], [-38], [74], [-28], [38], [34], [0], [68], [22], [-44], [18], [-4], [44], [22], [-4], [6], [-26], [-80], [-14], [60], [-16], [62], [68], [58], [-2], [14], [-16], [-40], [-12], [38], [-6], [18], [-42], [38], [-32], [0], [18], [-4], [-54], [-56], [44], [-26], [-56], [-66], [-36], [42], [10], [30], [-16], [-76], [-80], [-16], [-20], [38], [66], [-18], [-20], [-18], [52], [0], [-24], [-38], [30], [-32], [-18], [-70], [-68], [90], [-28], [12], [42], [-70], [92], [52], [-32], [-42], [14], [22], [-44], [-52], [72], [-4], [-10], [66], [-66], [-14], [-68], [6], [40], [-56], [-66], [24], [42], [-8], [-84], [42], [60], [12], [-58], [24], [-54], [82], [6], [-70], [74], [16], [-62], [-38], [0], [-72], [38], [76], [-6], [-24], [22], [-82], [28], [16], [80], [-16], [2], [-4], [94], [-74], [30], [40], [-16], [-6], [62], [-58], [12], [-24], [28], [50], [-50], [-24], [78], [38], [-30], [-90], [-44], [-68], [-24], [12], [-4], [30], [70], [-30], [4], [78], [-44], [24], [50], [-88], [24], [-46], [0], [-18], [68], [-40], [82], [-6], [60], [76], [78], [-24], [8], [36], [-100], [-36], [52], [-102], [60], [30], [16], [-18]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 63050394816745651, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4275.2.a.o', 'level': 4275, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [12, 16, 18, 10, 21, 19, 21, 25], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [55, 62, 56, 60, 57, 47, 49, 49], 'Nk2': 17100, 'analytic_conductor': 34.136046864097366, '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': [4275, 1, [1901, 1027, 1351], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 577, 'dim': 142, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33558707, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 7, 7, 12], 'label': '4275.2.a', 'level': 4275, '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': [3, 5, 19], 'level_radical': 285, 'mf_dim': 624, 'mf_new_dim': 142, 'num_forms': 50, 'plus_dim': 62, 'prim_orbit_index': 1, 'relative_dim': 142, 'sturm_bound': 1200, 'trace_bound': 13, 'trace_display': [1, 0, 0, 5], 'traces': [142, 1, 0, 143, 0, 0, 5, -3, 0, 0, 13, 0, -2, -12, 0, 145, -11, 0, -2, 0, 0, 4, -8, 0, 0, 6, 0, 18, 32, 0, 0, 5, 0, 18, 0, 0, -12, -3, 0, 0, 0, 0, 13, 66, 0, 36, -1, 0, 145, 0, 0, 14, 26, 0, 0, 8, 0, 10, -18, 0, -9, 8, 0, 185, 0, 0, 12, -52, 0, 0, -42, 0, 1, 62, 0, -5, -41, 0, 8, 0, 0, 38, 16, 0, 0, 4, 0, -32, -2, 0, -16, 40, 0, -32, 0, 0, -6, 5, 0, 0, 28, 0, -34, 18, 0, 6, 34, 0, 38, 0, 0, 88, 20, 0, 0, 142, 0, 20, -11, 0, 213, 26, 0, -76, 0, 0, 46, -59, 0, 0, 3, 0, 1, 8, 0, 106, 29, 0, 9, 0, 0, 48, 36, 0, 0, -102, 0, -34, 57, 0, -74, -3, 0, -20, 0, 0, 36, 40, 0, 0, 0, 0, 28, -134, 0, -108, 2, 0, 170, 0, 0, 78, -24, 0, 0, 228, 0, -66, 38, 0, 56, 64, 0, 136, 0, 0, -15, 90, 0, 0, 69, 0, 14, 26, 0, 245, -56, 0, -35, 0, 0, 42, 14, 0, 0, -36, 0, -22, 25, 0, 126, 86, 0, -140, 0, 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-550, 0, -40, 213, 0, -198, -20, 0, -98, 0, 0, 316, 433, 0, 0, 168, 0, 47, -304, 0, 238, -90, 0, -200, 0, 0, 292, -144, 0, 0, -8, 0, -22, 348, 0, -394, 232, 0, 28, 0, 0, -7, 640, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1197327
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4275.2.a.o', 'source_level': 4275, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '285.2.a.b', 'target_level': 285, 'twist_class_label': '285.2.a.b', 'twist_class_level': 285, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1197328
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4275.2.a.o', 'source_level': 4275, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '855.2.a.b', 'target_level': 855, 'twist_class_label': '285.2.a.b', 'twist_class_level': 285, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1197329
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4275.2.a.o', 'source_level': 4275, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1425.2.a.d', 'target_level': 1425, 'twist_class_label': '285.2.a.b', 'twist_class_level': 285, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1197330
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4275.2.a.o', 'source_level': 4275, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1425.2.c.d', 'target_level': 1425, 'twist_class_label': '285.2.a.b', 'twist_class_level': 285, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1197331
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4275.2.a.o', 'source_level': 4275, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4275.2.a.o', 'target_level': 4275, 'twist_class_label': '285.2.a.b', 'twist_class_level': 285, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1197332
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4275.2.a.o', 'source_level': 4275, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '4560.2.a.v', 'target_level': 4560, 'twist_class_label': '285.2.a.b', 'twist_class_level': 285, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1197333
{'conductor': 285, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4275.2.a.o', 'source_level': 4275, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '5415.2.a.c', 'target_level': 5415, 'twist_class_label': '285.2.a.b', 'twist_class_level': 285, 'twisting_char_label': '285.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3550975
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 2}
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id: 3550976
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 3}
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id: 3550977
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 5}
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id: 3550978
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 7}
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id: 3550979
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 11}
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id: 3550980
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 13}
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id: 3550981
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 17}
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id: 3550982
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 19}
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id: 3550983
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 23}
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id: 3550984
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 29}
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id: 3550985
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 31}
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id: 3550986
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 37}
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id: 3550987
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 41}
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id: 3550988
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 43}
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id: 3550989
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 47}
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id: 3550990
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 53}
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id: 3550991
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 59}
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id: 3550992
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 61}
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id: 3550993
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 67}
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id: 3550994
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 71}
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id: 3550995
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 73}
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id: 3550996
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 79}
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id: 3550997
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 83}
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id: 3550998
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 89}
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id: 3550999
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 63050394816745651, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 15, 'label': '4275.2.a.o', 'level': 4275, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 59600557
{'hecke_orbit_code': 63050394816745651, 'n': 1, 'trace_an': 1}
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id: 59600558
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