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mf_newforms • Show schema
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{'Nk2': 3780, 'analytic_conductor': 7.5458629910109964, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 21, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 36, 'char_orbit_label': 'bj', 'char_order': 6, 'char_parity': 1, 'char_values': [945, 6, [596, 757, 136], [3, 6, 5]], 'cm_discs': [], 'conrey_index': 26, 'dim': 6, 'field_disc': -309123, 'field_disc_factorization': [[-1, 1], [3, 3], [107, 2]], 'field_poly': [3, -12, 19, -15, 10, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [3, -6, 1, 6, 1, -3, 1]], [11, [147, 42, -59, -18, 25, 9, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31527602606834609, 'hecke_ring_generator_nbound': 4, '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, 21, 7, 1, 6, 0]], 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3780, 'analytic_conductor': 7.5458629910109964, 'char_conductor': 21, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 36, 'char_orbit_label': 'bj', 'char_order': 6, 'char_parity': 1, 'char_values': [945, 6, [596, 757, 136], [3, 6, 5]], 'conrey_index': 26, 'cusp_dim': 264, 'dim': 84, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11], 'hecke_orbit_code': 2405215241137, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 6, 6, 8, 8, 20, 20], 'label': '945.2.bj', 'level': 945, '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, 7], 'level_radical': 105, 'mf_dim': 312, 'mf_new_dim': 84, 'num_forms': 12, 'prim_orbit_index': 7, 'relative_dim': 42, 'sturm_bound': 288, 'trace_bound': 5, 'trace_display': [0, 0, 0, 14], 'traces': [84, 0, 0, 40, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, -6, 0, 0, 40, 0, 0, -42, 0, 0, 44, 0, 0, 66, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -44, 0, 0, 40, 0, 0, -18, 0, 0, -72, 0, 0, 0, 0, 0, 16, 0, 0, -18, 0, 0, -184, 0, 0, -84, 0, 0, 12, 0, 0, 42, 0, 0, 0, 0, 0, 48, 0, 0, 72, 0, 0, 0, 0, 0, 32, 0, 0, 36, 0, 0, 96, 0, 0, 0, 0, 0, 40, 0, 0, -48, 0, 0, -104, 0, 0, 70, 0, 0, -168, 0, 0, -96, 0, 0, 0, 0, 0, -26, 0, 0, -96, 0, 0, 156, 0, 0, -72, 0, 0, -108, 0, 0, -108, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 136, 0, 0, 58, 0, 0, 64, 0, 0, 96, 0, 0, 0, 0, 0, -114, 0, 0, 288, 0, 0, -36, 0, 0, -56, 0, 0, -10, 0, 0, -36, 0, 0, 0, 0, 0, -16, 0, 0, 72, 0, 0, 0, 0, 0, -32, 0, 0, 136, 0, 0, -90, 0, 0, 0, 0, 0, 12, 0, 0, -276, 0, 0, 4, 0, 0, -32, 0, 0, 90, 0, 0, 12, 0, 0, 0, 0, 0, 172, 0, 0, -186, 0, 0, 248, 0, 0, 0, 0, 0, -192, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -248, 0, 0, -76, 0, 0, 0, 0, 0, -420, 0, 0, 0, 0, 0, 104, 0, 0, -42, 0, 0, -320, 0, 0, 102, 0, 0, -60, 0, 0, -78, 0, 0, 0, 0, 0, 6, 0, 0, 144, 0, 0, -48, 0, 0, 52, 0, 0, -54, 0, 0, 624, 0, 0, 0, 0, 0, 12, 0, 0, 294, 0, 0, 224, 0, 0, 64, 0, 0, 292, 0, 0, 36, 0, 0, 0, 0, 0, -98, 0, 0, 120, 0, 0, 76, 0, 0, 60, 0, 0, 80, 0, 0, -60, 0, 0, 0, 0, 0, -108, 0, 0, 72, 0, 0, 64, 0, 0, 168, 0, 0, 300, 0, 0, -78, 0, 0, 0, 0, 0, -6, 0, 0, 108, 0, 0, -152, 0, 0, -68, 0, 0, 84, 0, 0, 600, 0, 0, 0, 0, 0, -80, 0, 0, 18, 0, 0, 136, 0, 0, -60, 0, 0, -380, 0, 0, -60, 0, 0, 0, 0, 0, -48, 0, 0, -216, 0, 0, 348, 0, 0, -136, 0, 0, -108, 0, 0, -84, 0, 0, 0, 0, 0, -92, 0, 0, -96, 0, 0, -360, 0, 0, -48, 0, 0, -324, 0, 0, -216, 0, 0, 0, 0, 0, 106, 0, 0, -288, 0, 0, -348, 0, 0, -236, 0, 0, 100, 0, 0, 336, 0, 0, 0, 0, 0, -200, 0, 0, -324, 0, 0, -88, 0, 0, -74, 0, 0, 12, 0, 0, -420, 0, 0, 0, 0, 0, -134, 0, 0, -684, 0, 0, 0, 0, 0, 56, 0, 0, -186, 0, 0, -108, 0, 0, 0, 0, 0, 180, 0, 0, -84, 0, 0, -80, 0, 0, -86, 0, 0, 36, 0, 0, 12, 0, 0, 0, 0, 0, 246, 0, 0, 264, 0, 0, -84, 0, 0, -20, 0, 0, 316, 0, 0, 216, 0, 0, 0, 0, 0, -56, 0, 0, 48, 0, 0, 440, 0, 0, 66, 0, 0, -204, 0, 0, 216, 0, 0, 0, 0, 0, 100, 0, 0, 252, 0, 0, 564, 0, 0, 420, 0, 0, 204, 0, 0, -372, 0, 0, 0, 0, 0, 28, 0, 0, 66, 0, 0, -96, 0, 0, -222, 0, 0, 392, 0, 0, 120, 0, 0, 0, 0, 0, -42, 0, 0, 168, 0, 0, -36, 0, 0, 328, 0, 0, 72, 0, 0, 120, 0, 0, 0, 0, 0, -228, 0, 0, 408, 0, 0, -112, 0, 0, 60, 0, 0, 204, 0, 0, 126, 0, 0, 0, 0, 0, 148, 0, 0, 48, 0, 0, -92, 0, 0, -68, 0, 0, 54, 0, 0, -348, 0, 0, 0, 0, 0, 288, 0, 0, -306, 0, 0, 664, 0, 0, -12, 0, 0, 32, 0, 0, 180, 0, 0, 0, 0, 0, 10, 0, 0, 924, 0, 0, -144, 0, 0, 40, 0, 0, -264, 0, 0, -816, 0, 0, 0, 0, 0, -192, 0, 0, 510, 0, 0, 384, 0, 0, 114, 0, 0, -320, 0, 0, -36, 0, 0, 0, 0, 0, -62, 0, 0, 444, 0, 0, -284, 0, 0, 72, 0, 0, -222, 0, 0, -528, 0, 0, 0, 0, 0, -488, 0, 0, -66, 0, 0, 520, 0, 0, 4, 0, 0, -248, 0, 0, 594, 0, 0, 0, 0, 0, -324, 0, 0, -192, 0, 0, -216, 0, 0, 316, 0, 0, -132, 0, 0, -120, 0, 0, 0, 0, 0, 572, 0, 0, -390, 0, 0, 24, 0, 0, 54, 0, 0, 576, 0, 0, 426, 0, 0, 0, 0, 0, 96, 0, 0, -732, 0, 0, -116, 0, 0, -764, 0, 0, -472, 0, 0, 24, 0, 0, 0, 0, 0, 368, 0, 0, -402, 0, 0, -1232, 0, 0, -24, 0, 0, -228, 0, 0, 300, 0, 0, 0, 0, 0, 18, 0, 0, 240, 0, 0, 844, 0, 0, -44, 0, 0, -530, 0, 0, 540, 0, 0, 0, 0, 0, 40, 0, 0, 348, 0, 0, -544, 0, 0, -20, 0, 0, 144, 0, 0, -372, 0, 0, 0, 0, 0, 46, 0, 0, -516, 0, 0, -32, 0, 0, -120, 0, 0, -6, 0, 0, -372, 0, 0, 0, 0, 0, 0, 0, 0, 1116, 0, 0, -856, 0, 0, 48, 0, 0, 444, 0, 0, 264, 0, 0, 0, 0, 0, -120, 0, 0, -756, 0, 0, -72, 0, 0, 132, 0, 0, 288, 0, 0, -456, 0, 0, 0, 0, 0, 244, 0, 0, 336, 0, 0, -360, 0, 0, -368, 0, 0, 688, 0, 0, 378, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46431107
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 26, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31527602606834609, 'source_is_minimal': True, 'source_label': '945.2.bj.h.26.1', 'source_level': 945, 'target_conrey_index': 26, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31527602606834609, 'target_is_minimal': True, 'target_label': '945.2.bj.h.26.1', 'target_level': 945, 'twist_class_label': '945.2.bj.g.26.3', 'twist_class_level': 945, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46431108
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31527602606834609, 'source_is_minimal': True, 'source_label': '945.2.bj.h.26.1', 'source_level': 945, 'target_conrey_index': 26, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27024002979464113, 'target_is_minimal': True, 'target_label': '945.2.bj.g.26.3', 'target_level': 945, 'twist_class_label': '945.2.bj.g.26.3', 'twist_class_level': 945, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46431109
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31527602606834609, 'source_is_minimal': True, 'source_label': '945.2.bj.h.26.1', 'source_level': 945, 'target_conrey_index': 836, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27024002979464113, 'target_is_minimal': True, 'target_label': '945.2.bj.g.836.3', 'target_level': 945, 'twist_class_label': '945.2.bj.g.26.3', 'twist_class_level': 945, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46431110
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 26, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31527602606834609, 'source_is_minimal': True, 'source_label': '945.2.bj.h.26.1', 'source_level': 945, 'target_conrey_index': 836, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31527602606834609, 'target_is_minimal': True, 'target_label': '945.2.bj.h.836.1', 'target_level': 945, 'twist_class_label': '945.2.bj.g.26.3', 'twist_class_level': 945, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1520000
{'charpoly_factorization': [[[3, -6, 1, 6, 1, -3, 1], 1]], 'hecke_orbit_code': 31527602606834609, 'p': 2}
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id: 1520001
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 31527602606834609, 'p': 3}
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id: 1520002
{'charpoly_factorization': [[[1, -1, 1], 3]], 'hecke_orbit_code': 31527602606834609, 'p': 5}
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id: 1520003
{'charpoly_factorization': [[[343, 196, 98, 55, 14, 4, 1], 1]], 'hecke_orbit_code': 31527602606834609, 'p': 7}
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id: 1520004
{'charpoly_factorization': [[[147, 42, -59, -18, 25, 9, 1], 1]], 'hecke_orbit_code': 31527602606834609, 'p': 11}
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id: 1520005
{'charpoly_factorization': [[[243, 0, 189, 0, 30, 0, 1], 1]], 'hecke_orbit_code': 31527602606834609, 'p': 13}
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id: 1520006
{'charpoly_factorization': [[[729, 891, 1170, -45, 42, 3, 1], 1]], 'hecke_orbit_code': 31527602606834609, 'p': 17}
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id: 1520007
{'charpoly_factorization': [[[243, -972, 1485, -756, 183, -21, 1], 1]], 'hecke_orbit_code': 31527602606834609, 'p': 19}
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id: 1520008
{'charpoly_factorization': [[[3, -3, -5, 6, 13, 6, 1], 1]], 'hecke_orbit_code': 31527602606834609, 'p': 23}
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id: 1520009
{'charpoly_factorization': [[[30603, 0, 10210, 0, 199, 0, 1], 1]], 'hecke_orbit_code': 31527602606834609, 'p': 29}
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id: 1520010
{'charpoly_factorization': [[[2187, -1215, 63, 90, -3, -6, 1], 1]], 'hecke_orbit_code': 31527602606834609, 'p': 31}
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id: 1520011
{'charpoly_factorization': [[[52441, 8015, 4889, -1018, 221, -16, 1], 1]], 'hecke_orbit_code': 31527602606834609, 'p': 37}
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id: 1520012
{'charpoly_factorization': [[[27, 39, 12, 1], 2]], 'hecke_orbit_code': 31527602606834609, 'p': 41}
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id: 1520013
{'charpoly_factorization': [[[-64, -64, 4, 1], 2]], 'hecke_orbit_code': 31527602606834609, 'p': 43}
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id: 1520014
{'charpoly_factorization': [[[77841, 38502, 13185, 2340, 303, 21, 1], 1]], 'hecke_orbit_code': 31527602606834609, 'p': 47}
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id: 1520015
{'charpoly_factorization': [[[243, -1566, 3121, 1566, 301, 27, 1], 1]], 'hecke_orbit_code': 31527602606834609, 'p': 53}
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id: 1520016
{'charpoly_factorization': [[[59049, -26244, 10935, -810, 117, 3, 1], 1]], 'hecke_orbit_code': 31527602606834609, 'p': 59}
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id: 1520017
{'charpoly_factorization': [[[93987, -31860, -2241, 1980, 423, 33, 1], 1]], 'hecke_orbit_code': 31527602606834609, 'p': 61}
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id: 1520018
{'charpoly_factorization': [[[657721, -102186, 37773, 5024, 603, 27, 1], 1]], 'hecke_orbit_code': 31527602606834609, 'p': 67}
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id: 1520019
{'charpoly_factorization': [[[1198272, 0, 34960, 0, 328, 0, 1], 1]], 'hecke_orbit_code': 31527602606834609, 'p': 71}
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id: 1520020
{'charpoly_factorization': [[[27, 189, 405, -252, 27, 12, 1], 1]], 'hecke_orbit_code': 31527602606834609, 'p': 73}
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id: 1520021
{'charpoly_factorization': [[[1646089, -142413, 27717, -1234, 255, -12, 1], 1]], 'hecke_orbit_code': 31527602606834609, 'p': 79}
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id: 1520022
{'charpoly_factorization': [[[648, 264, 30, 1], 2]], 'hecke_orbit_code': 31527602606834609, 'p': 83}
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id: 1520023
{'charpoly_factorization': [[[5103081, -440505, 65133, -2178, 339, -12, 1], 1]], 'hecke_orbit_code': 31527602606834609, 'p': 89}
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id: 1520024
{'charpoly_factorization': [[[233523, 0, 24570, 0, 327, 0, 1], 1]], 'hecke_orbit_code': 31527602606834609, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 36, 'hecke_orbit': 8, 'label': '945.2.bj.h', 'level': 945, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 50266375
{'hecke_orbit_code': 31527602606834609, 'n': 1, 'trace_an': 6}
-
id: 50266376
{'hecke_orbit_code': 31527602606834609, 'n': 2, 'trace_an': 3}
-
id: 50266377
{'hecke_orbit_code': 31527602606834609, 'n': 3, 'trace_an': 0}
-
id: 50266378
{'hecke_orbit_code': 31527602606834609, 'n': 4, 'trace_an': 1}
-
id: 50266379
{'hecke_orbit_code': 31527602606834609, 'n': 5, 'trace_an': 3}
-
id: 50266380
{'hecke_orbit_code': 31527602606834609, 'n': 6, 'trace_an': 0}
-
id: 50266381
{'hecke_orbit_code': 31527602606834609, 'n': 7, 'trace_an': -4}
-
id: 50266382
{'hecke_orbit_code': 31527602606834609, 'n': 8, 'trace_an': 0}
-
id: 50266383
{'hecke_orbit_code': 31527602606834609, 'n': 9, 'trace_an': 0}
-
id: 50266384
{'hecke_orbit_code': 31527602606834609, 'n': 10, 'trace_an': 3}
-
id: 50266385
{'hecke_orbit_code': 31527602606834609, 'n': 11, 'trace_an': -9}
-
id: 50266386
{'hecke_orbit_code': 31527602606834609, 'n': 12, 'trace_an': 0}
-
id: 50266387
{'hecke_orbit_code': 31527602606834609, 'n': 13, 'trace_an': 0}
-
id: 50266388
{'hecke_orbit_code': 31527602606834609, 'n': 14, 'trace_an': 9}
-
id: 50266389
{'hecke_orbit_code': 31527602606834609, 'n': 15, 'trace_an': 0}
-
id: 50266390
{'hecke_orbit_code': 31527602606834609, 'n': 16, 'trace_an': 1}
-
id: 50266391
{'hecke_orbit_code': 31527602606834609, 'n': 17, 'trace_an': -3}
-
id: 50266392
{'hecke_orbit_code': 31527602606834609, 'n': 18, 'trace_an': 0}
-
id: 50266393
{'hecke_orbit_code': 31527602606834609, 'n': 19, 'trace_an': 21}
-
id: 50266394
{'hecke_orbit_code': 31527602606834609, 'n': 20, 'trace_an': 2}
-
id: 50266395
{'hecke_orbit_code': 31527602606834609, 'n': 21, 'trace_an': 0}
-
id: 50266396
{'hecke_orbit_code': 31527602606834609, 'n': 22, 'trace_an': 4}
-
id: 50266397
{'hecke_orbit_code': 31527602606834609, 'n': 23, 'trace_an': -6}
-
id: 50266398
{'hecke_orbit_code': 31527602606834609, 'n': 24, 'trace_an': 0}
-
id: 50266399
{'hecke_orbit_code': 31527602606834609, 'n': 25, 'trace_an': -3}
-
id: 50266400
{'hecke_orbit_code': 31527602606834609, 'n': 26, 'trace_an': -9}
-
id: 50266401
{'hecke_orbit_code': 31527602606834609, 'n': 27, 'trace_an': 0}
-
id: 50266402
{'hecke_orbit_code': 31527602606834609, 'n': 28, 'trace_an': 23}
-
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