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mf_newforms • Show schema
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{'Nk2': 1140, 'analytic_conductor': 2.275736457606491, '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': [285, 1, [191, 172, 211], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, -2, 1]], [7, [-2, 0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797777693, 'hecke_ring_generator_nbound': 2, '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': '285.2.a.g', 'level': 285, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 5, 19], 'level_radical': 285, 'minimal_twist': '285.2.a.g', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta )q^{2}+q^{3}+(1+2\\beta )q^{4}-q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '285.2.a', 'trace_display': [2, 2, -2, 0], 'trace_hash': 787900238995283414, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.022', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.936', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.440', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '66.233', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.031', 'prec': 17}, 'traces': [2, 2, 2, 2, -2, 2, 0, 6, 2, -2, 4, 2, -4, -4, -2, 6, 8, 2, -2, -2, 0, -8, 4, 6, 2, -8, 2, -8, 0, -2, -12, -6, 4, 0, 0, 2, -4, -2, -4, -6, 8, -4, 16, -20, -2, 20, -4, 6, -10, 2, 8, -12, 16, 2, -4, -4, -2, 4, 8, -2, -8, -4, 0, -14, 4, -8, -8, -8, 4, 4, -16, 6, -4, -8, 2, -2, 12, -8, 0, -6, 2, -4, 20, -8, -8, 28, 0, 0, -8, -2, 4, 36, -12, -20, 2, -6, -28, -10, 4, 2, -12, 0, 8, -16, 0, 16, 16, 2, 4, 8, -4, 0, -8, -2, -4, 8, -4, 32, 8, -6, 22, 24, 8, 4, -2, -4, 16, -10, 16, 8, -20, -20, 0, -24, -2, 16, 20, 20, 0, 8, -4, -24, 4, 6, 0, -20, -10, -12, -12, 2, 4, -6, 8, 4, 12, -12, 4, 0, 16, 6, -16, 2, 24, -16, -4, 28, -12, -4, -14, 0, -2, 40, 0, 4, 0, 12, 8, 20, 16, -2, -36, 12, -8, 28, 4, -4, 40, -36, 0, 2, 12, -14, -4, -16, 4, -10, 8, -8, 8, 6, -8, -4, -4, -8, -8, -24, 4, -12, -4, 4, -8, 16, -16, 48, -16, 6, -8, -20, -4, 20, -8, -8, -8, -4, 2, 32, -4, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [1, 1], [1, 0], [1, 2], [-1, 0], [1, 1], [0, -1], [3, 1], [1, 0], [-1, -1], [2, -3], [1, 2], [-2, -1], [-2, -1], [-1, 0], [3, 0], [4, -2], [1, 1], [-1, 0], [-1, -2], [0, -1], [-4, -1], [2, 4], [3, 1], [1, 0], [-4, -3], [1, 0], [-4, -1], [0, 1], [-1, -1], [-6, 2], [-3, 1], [2, -3], [0, 2], [0, 1], [1, 2], [-2, -1], [-1, -1], [-2, -1], [-3, -1], [4, -3], [-2, -1], [8, 3], [-10, 1], [-1, 0], [10, 6], [-2, -4], [3, 0], [-5, 0], [1, 1], [4, -2], [-6, -5], [8, 0], [1, 1], [-2, 3], [-2, -3], [-1, 0], [2, 1], [4, 6], [-1, -2], [-4, 8], [-2, -4], [0, -1], [-7, -2], [2, 1], [-4, -1], [-4, -4], [-4, 6], [2, 4], [2, 1], [-8, -2], [3, 1], [-2, -4], [-4, -3], [1, 0], [-1, -2], [6, -2], [-4, -3], [0, 0], [-3, 0], [1, 0], [-2, 1], [10, 2], [-4, -1], [-4, 2], [14, 11], [0, 1], [0, -7], [-4, 7], [-1, -1], [2, 2], [18, 8], [-6, 2], [-10, -6], [1, 0], [-3, 1], [-14, 3], [-5, -5], [2, -3], [1, 2]], 'ap': [[1, 1], [1, 0], [-1, 0], [0, -1], [2, -3], [-2, -1], [4, -2], [-1, 0], [2, 4], [0, 1], [-6, 2], [-2, -1], [4, -3], [8, 3], [-2, -4], [8, 0], [4, 6], [-4, 8], [-4, -4], [-8, -2], [-2, -4], [0, 0], [10, 2], [-4, 7], [-14, 3], [-6, 2], [4, -8], [8, 8], [2, -6], [-4, 10], [8, 8], [-10, 1], [10, 0], [0, -10], [-6, 0], [2, -6], [2, 6], [12, 7], [-6, -8], [0, -14], [8, 6], [-18, -2], [6, 3], [-2, 5], [4, 2], [4, 10], [-4, 8], [-4, 16], [-2, 12], [0, -16], [-6, 4], [-14, -9], [-14, -4], [-6, 3], [4, -6], [2, -18], [4, -5], [-8, -2], [-22, 0], [-16, 1], [8, -13], [-20, 6], [24, -2], [-2, -3], [-14, 14], [-4, -16], [14, 10], [-26, 1], [-2, -18], [18, 0], [-2, 4], [-2, 19], [4, -13], [2, -1], [6, -2], [28, 0], [14, 12], [6, 16], [-12, 3], [-10, -2], [2, 1], [-2, 8], [0, -22], [-18, 5], [-16, -4], [18, 0], [0, -19], [30, 2], [14, 4], [20, 3], [30, 4], [10, 5], [12, 6], [-6, 3], [-8, 2], [2, 2], [12, -9], [12, -3], [-24, 6], [22, 0], [16, 6], [-14, -8], [-2, -20], [24, 5], [12, -2], [-6, 18], [-18, 4], [14, 16], [-20, 12], [-6, 10], [8, 6], [-2, -6], [20, 6], [-12, -6], [0, 0], [4, -25], [24, 13], [-22, -10], [40, 2], [4, -16], [-18, 18], [-6, -27], [0, 12], [24, -4], [44, 2], [18, -8], [12, 12], [6, -5], [12, 25], [-22, 0], [20, -4], [-4, 0], [-10, -10], [10, -30], [10, 24], [26, 12], [-20, -4], [-40, -2], [0, -10], [-2, 0], [20, -8], [6, 6], [16, -29], [-14, 8], [38, 6], [-24, 10], [-14, -2], [24, -8], [-16, -24], [20, -8], [-42, 5], [14, -14], [12, -17], [-8, 24], [-4, -10], [20, -8], [-12, 0], [2, 22], [-10, -14], [-4, 19], [-50, 2], [-28, -18], [-16, 17], [28, -4], [4, 20], [-2, -16], [8, -4], [10, -34]], 'char_orbit_index': 1, 'field_poly': [-2, 0, 1], 'hecke_orbit_code': 27021597797777693, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '285.2.a.g', 'level': 285, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1], [19, -1]], 2, 1], [[[3, 1], [5, -1], [19, 1]], 3, 2], [[[3, 1], [5, 1], [19, 1]], 1, 1], [[[3, -1], [5, 1], [19, -1]], 1, 1], [[[3, 1], [5, 1], [19, -1]], 2, 1], [[[3, -1], [5, 1], [19, 1]], 2, 1]], 'ALdims': [1, 2, 3, 0, 2, 1, 0, 2], 'Nk2': 1140, 'analytic_conductor': 2.275736457606491, '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': [285, 1, [191, 172, 211], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 37, 'dim': 11, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33554717, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 2, 2], 'label': '285.2.a', 'level': 285, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 5, 19], 'level_radical': 285, 'mf_dim': 44, 'mf_new_dim': 11, 'num_forms': 7, 'plus_dim': 2, 'prim_orbit_index': 1, 'relative_dim': 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mf_twists_nf • Show schema
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id: 220586
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '285.2.a.g', 'source_level': 285, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '285.2.a.g', 'target_level': 285, 'twist_class_label': '285.2.a.g', 'twist_class_level': 285, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 220587
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '285.2.a.g', 'source_level': 285, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '855.2.a.d', 'target_level': 855, 'twist_class_label': '285.2.a.g', 'twist_class_level': 285, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 220588
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '285.2.a.g', 'source_level': 285, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1425.2.a.k', 'target_level': 1425, 'twist_class_label': '285.2.a.g', 'twist_class_level': 285, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 220589
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '285.2.a.g', 'source_level': 285, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1425.2.c.l', 'target_level': 1425, 'twist_class_label': '285.2.a.g', 'twist_class_level': 285, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 220590
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '285.2.a.g', 'source_level': 285, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '4275.2.a.y', 'target_level': 4275, 'twist_class_label': '285.2.a.g', 'twist_class_level': 285, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 220591
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '285.2.a.g', 'source_level': 285, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '4560.2.a.bf', 'target_level': 4560, 'twist_class_label': '285.2.a.g', 'twist_class_level': 285, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 220592
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '285.2.a.g', 'source_level': 285, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '5415.2.a.n', 'target_level': 5415, 'twist_class_label': '285.2.a.g', 'twist_class_level': 285, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 640250
{'charpoly_factorization': [[[-1, -2, 1], 1]], 'hecke_orbit_code': 27021597797777693, 'p': 2}
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id: 640251
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 27021597797777693, 'p': 3}
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id: 640252
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 27021597797777693, 'p': 5}
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id: 640253
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 27021597797777693, 'p': 7}
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id: 640254
{'charpoly_factorization': [[[-14, -4, 1], 1]], 'hecke_orbit_code': 27021597797777693, 'p': 11}
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id: 640255
{'charpoly_factorization': [[[2, 4, 1], 1]], 'hecke_orbit_code': 27021597797777693, 'p': 13}
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id: 640256
{'charpoly_factorization': [[[8, -8, 1], 1]], 'hecke_orbit_code': 27021597797777693, 'p': 17}
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id: 640257
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 27021597797777693, 'p': 19}
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id: 640258
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 27021597797777693, 'p': 23}
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id: 640259
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 27021597797777693, 'p': 29}
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id: 640260
{'charpoly_factorization': [[[28, 12, 1], 1]], 'hecke_orbit_code': 27021597797777693, 'p': 31}
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id: 640261
{'charpoly_factorization': [[[2, 4, 1], 1]], 'hecke_orbit_code': 27021597797777693, 'p': 37}
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id: 640262
{'charpoly_factorization': [[[-2, -8, 1], 1]], 'hecke_orbit_code': 27021597797777693, 'p': 41}
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id: 640263
{'charpoly_factorization': [[[46, -16, 1], 1]], 'hecke_orbit_code': 27021597797777693, 'p': 43}
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id: 640264
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 27021597797777693, 'p': 47}
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id: 640265
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 27021597797777693, 'p': 53}
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id: 640266
{'charpoly_factorization': [[[-56, -8, 1], 1]], 'hecke_orbit_code': 27021597797777693, 'p': 59}
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id: 640267
{'charpoly_factorization': [[[-112, 8, 1], 1]], 'hecke_orbit_code': 27021597797777693, 'p': 61}
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id: 640268
{'charpoly_factorization': [[[-16, 8, 1], 1]], 'hecke_orbit_code': 27021597797777693, 'p': 67}
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id: 640269
{'charpoly_factorization': [[[56, 16, 1], 1]], 'hecke_orbit_code': 27021597797777693, 'p': 71}
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id: 640270
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 27021597797777693, 'p': 73}
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id: 640271
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797777693, 'p': 79}
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id: 640272
{'charpoly_factorization': [[[92, -20, 1], 1]], 'hecke_orbit_code': 27021597797777693, 'p': 83}
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id: 640273
{'charpoly_factorization': [[[-82, 8, 1], 1]], 'hecke_orbit_code': 27021597797777693, 'p': 89}
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id: 640274
{'charpoly_factorization': [[[178, 28, 1], 1]], 'hecke_orbit_code': 27021597797777693, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '285.2.a.g', 'level': 285, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 174502000
{'hecke_orbit_code': 27021597797777693, 'n': 1, 'trace_an': 2}
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id: 174502001
{'hecke_orbit_code': 27021597797777693, 'n': 2, 'trace_an': 2}
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id: 174502002
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id: 174502990
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id: 174502993
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id: 174502994
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id: 174502998
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id: 174502999
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