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mf_newforms • Show schema
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{'Nk2': 5408, 'analytic_conductor': 10.795774353277109, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 15, 'char_orbit_label': 'o', 'char_order': 6, 'char_parity': 1, 'char_values': [1352, 6, [1015, 677, 1185], [6, 6, 5]], 'cm_discs': [], 'conrey_index': 361, 'dim': 8, 'field_disc': 1731891456, 'field_disc_factorization': [[2, 8], [3, 4], [17, 4]], 'field_poly': [256, 0, -144, 0, 65, 0, -9, 0, 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': [[3, [16, -4, 5, 1, 1]], [5, [4, 0, 13, 0, 1]], [11, [65536, 0, -9216, 0, 1040, 0, -36, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511760988341576, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 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mf_hecke_cc • Show schema
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-0.34363655307701946, -0.1983225314728907, 0.05388962224319247, -0.3686079159137668, -0.46946455930004843], 'char_orbit_index': 15, 'conrey_index': 1161, 'dual_conrey_index': 361, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 1, 'embedding_m': 5, 'embedding_root_imag': -0.7807764064044151, 'embedding_root_real': 1.3523444052434932, 'hecke_orbit': 4, 'hecke_orbit_code': 13511760988341576, 'label': '1352.2.o.d.1161.1', 'level': 1352, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 5408, 'analytic_conductor': 10.795774353277109, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 15, 'char_orbit_label': 'o', 'char_order': 6, 'char_parity': 1, 'char_values': [1352, 6, [1015, 677, 1185], [6, 6, 5]], 'conrey_index': 361, 'cusp_dim': 308, 'dim': 76, 'eis_dim': 112, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11], 'hecke_orbit_code': 962106230088, 'hecke_orbit_dims': [4, 4, 8, 8, 8, 8, 12, 24], 'label': '1352.2.o', 'level': 1352, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 13], 'level_radical': 26, 'mf_dim': 420, 'mf_new_dim': 76, 'num_forms': 8, 'prim_orbit_index': 5, 'relative_dim': 38, 'sturm_bound': 364, 'trace_bound': 17, 'trace_display': [0, -2, 0, 6], 'traces': [76, 0, -2, 0, 0, 0, 6, 0, -36, 0, -6, 0, 0, 0, 0, 0, 2, 0, 6, 0, 0, 0, -2, 0, -64, 0, 40, 0, 6, 0, 0, 0, -6, 0, -22, 0, 24, 0, 0, 0, -12, 0, -6, 0, -30, 0, 0, 0, 42, 0, -80, 0, -32, 0, -16, 0, 0, 0, -18, 0, 10, 0, -36, 0, 0, 0, 42, 0, 26, 0, 54, 0, 0, 0, 28, 0, 68, 0, -8, 0, -30, 0, 0, 0, -6, 0, 6, 0, 18, 0, 0, 0, -36, 0, -28, 0, -30, 0, 0, 0, -18, 0, -24, 0, -52, 0, -4, 0, 0, 0, 66, 0, 32, 0, 0, 0, 0, 0, 6, 0, 66, 0, -6, 0, 0, 0, -2, 0, 88, 0, 72, 0, 6, 0, 0, 0, -24, 0, -42, 0, 60, 0, 0, 0, -42, 0, -10, 0, -24, 0, 0, 0, -42, 0, -64, 0, 8, 0, -40, 0, 0, 0, -42, 0, 0, 0, -102, 0, 0, 0, 36, 0, -82, 0, 6, 0, 0, 0, 18, 0, -32, 0, -12, 0, 122, 0, 0, 0, 6, 0, 34, 0, -12, 0, 0, 0, 18, 0, -50, 0, 66, 0, 0, 0, -56, 0, 16, 0, -12, 0, 42, 0, 0, 0, 72, 0, 8, 0, 48, 0, 0, 0, 18, 0, 56, 0, 6, 0, 0, 0, -14, 0, 168, 0, 12, 0, -48, 0, 0, 0, 24, 0, -82, 0, 18, 0, 0, 0, 12, 0, 60, 0, -6, 0, 0, 0, 46, 0, -40, 0, -56, 0, -30, 0, 0, 0, -150, 0, 94, 0, -6, 0, 0, 0, -6, 0, 30, 0, -24, 0, 0, 0, 24, 0, 16, 0, 44, 0, -44, 0, 0, 0, -12, 0, 76, 0, -6, 0, 0, 0, -78, 0, -70, 0, -114, 0, 0, 0, -40, 0, 24, 0, -80, 0, 96, 0, 0, 0, 90, 0, -58, 0, 102, 0, 0, 0, -24, 0, -62, 0, -42, 0, 0, 0, -108, 0, -8, 0, -328, 0, 28, 0, 0, 0, -48, 0, 120, 0, -78, 0, 0, 0, 24, 0, 30, 0, 102, 0, 0, 0, 2, 0, 452, 0, -184, 0, -34, 0, 0, 0, -84, 0, 10, 0, -24, 0, 0, 0, -30, 0, -22, 0, 78, 0, 0, 0, -96, 0, -64, 0, -84, 0, -18, 0, 0, 0, 90, 0, 118, 0, -24, 0, 0, 0, 174, 0, 38, 0, 108, 0, 0, 0, 74, 0, 120, 0, 48, 0, 152, 0, 0, 0, 192, 0, 116, 0, 30, 0, 0, 0, -78, 0, 18, 0, -72, 0, 0, 0, -10, 0, -224, 0, -128, 0, -52, 0, 0, 0, 66, 0, -6, 0, -84, 0, 0, 0, 60, 0, -74, 0, -96, 0, 0, 0, 28, 0, -100, 0, 12, 0, -64, 0, 0, 0, -162, 0, -28, 0, -6, 0, 0, 0, -54, 0, -116, 0, -18, 0, 0, 0, 14, 0, 140, 0, -184, 0, -8, 0, 0, 0, -54, 0, 2, 0, 18, 0, 0, 0, -12, 0, 316, 0, 30, 0, 0, 0, -56, 0, 156, 0, -24, 0, -252, 0, 0, 0, 108, 0, -128, 0, 12, 0, 0, 0, -24, 0, -56, 0, 24, 0, 0, 0, 284, 0, 12, 0, 72, 0, 92, 0, 0, 0, -96, 0, 10, 0, 36, 0, 0, 0, -102, 0, -16, 0, 90, 0, 0, 0, -74, 0, -584, 0, 324, 0, -6, 0, 0, 0, -198, 0, -52, 0, 84, 0, 0, 0, -30, 0, 4, 0, -150, 0, 0, 0, 18, 0, -228, 0, 24, 0, -42, 0, 0, 0, -42, 0, -266, 0, -54, 0, 0, 0, 96, 0, -64, 0, -72, 0, 0, 0, 54, 0, 180, 0, 268, 0, 276, 0, 0, 0, 30, 0, 24, 0, 168, 0, 0, 0, -36, 0, -32, 0, -66, 0, 0, 0, -122, 0, -212, 0, 752, 0, 30, 0, 0, 0, 186, 0, -76, 0, -48, 0, 0, 0, 216, 0, 30, 0, 66, 0, 0, 0, 106, 0, 36, 0, 352, 0, -2, 0, 0, 0, -18, 0, -340, 0, 24, 0, 0, 0, 138, 0, 40, 0, 168, 0, 0, 0, -144, 0, -352, 0, 436, 0, -126, 0, 0, 0, 0, 0, 120, 0, -36, 0, 0, 0, -204, 0, 38, 0, 96, 0, 0, 0, 294, 0, -16, 0, -72, 0, -88, 0, 0, 0, 120, 0, -2, 0, -30, 0, 0, 0, -126, 0, -68, 0, -120, 0, 0, 0, 54, 0, -124, 0, -44, 0, -226, 0, 0, 0, -30, 0, -342, 0, -210, 0, 0, 0, -78, 0, -16, 0, 18, 0, 0, 0, -104, 0, 200, 0, 44, 0, 34, 0, 0, 0, -66, 0, 70, 0, -186, 0, 0, 0, -48, 0, 222, 0, -108, 0, 0, 0, -8, 0, -24, 0, -84, 0, 34, 0, 0, 0, 90, 0, -24, 0, -54, 0, 0, 0, 210, 0, -122, 0, 114, 0, 0, 0, -50, 0, -588, 0, 116, 0, 48, 0, 0, 0, 6, 0, -80, 0, 144, 0, 0, 0, -48, 0, -238, 0, 66, 0, 0, 0, 4, 0, 4, 0, 92, 0, 290, 0, 0, 0, 84, 0, 192, 0, 96, 0, 0, 0, 180, 0, 46, 0, 60, 0, 0, 0, -242, 0, 184, 0, 128, 0, -18, 0, 0, 0, -66, 0, 64, 0, 72, 0, 0, 0, -36, 0, 188, 0, -78, 0, 0, 0, 350, 0, 736, 0, 240, 0, -56, 0, 0, 0, -120, 0, 34, 0, 180, 0, 0, 0, -186, 0, 40, 0, -204, 0, 0, 0, -124, 0, 32, 0, -244, 0, 74, 0, 0, 0, -6, 0, 270, 0, 114, 0, 0, 0, 144, 0, -122, 0, -144, 0, 0, 0, -62, 0, 124, 0, -408, 0, -136, 0, 0, 0, -90, 0, -70, 0, 18, 0, 0, 0, -180, 0, -62, 0, 24, 0, 0, 0, -82, 0, -36, 0, -604, 0, -358, 0, 0, 0, 96, 0, 18, 0, -6, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43546946
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1161, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511760988341576, 'target_is_minimal': False, 'target_label': '1352.2.o.d.1161.1', 'target_level': 1352, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43546947
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1329, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518547926222152, 'target_is_minimal': False, 'target_label': '1352.2.i.f.1329.1', 'target_level': 1352, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '13.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43546948
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 361, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511760988341576, 'target_is_minimal': False, 'target_label': '1352.2.o.d.361.1', 'target_level': 1352, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43546949
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 337, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007542885680456, 'target_is_minimal': False, 'target_label': '1352.2.f.c.337.4', 'target_level': 1352, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43546950
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 529, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518547926222152, 'target_is_minimal': False, 'target_label': '1352.2.i.f.529.1', 'target_level': 1352, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '13.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43546951
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599660925032, 'target_is_minimal': True, 'target_label': '104.2.a.b.1.2', 'target_level': 104, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '13.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 43546952
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597797778760, 'target_is_minimal': False, 'target_label': '1352.2.a.g.1.2', 'target_level': 1352, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '13.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 43546953
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 529, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671481160, 'target_is_minimal': False, 'target_label': '1352.2.i.d.529.1', 'target_level': 1352, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 43546954
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 337, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007542885680456, 'target_is_minimal': False, 'target_label': '1352.2.f.c.337.3', 'target_level': 1352, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 43546955
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 361, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511760988341576, 'target_is_minimal': False, 'target_label': '1352.2.o.d.361.2', 'target_level': 1352, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 43546956
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1329, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671481160, 'target_is_minimal': False, 'target_label': '1352.2.i.d.1329.1', 'target_level': 1352, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43546957
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1161, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511760988341576, 'target_is_minimal': False, 'target_label': '1352.2.o.d.1161.2', 'target_level': 1352, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 43546958
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396679889832, 'target_is_minimal': False, 'target_label': '936.2.a.j.1.2', 'target_level': 936, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '39.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 43546959
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444114576, 'target_is_minimal': False, 'target_label': '2704.2.a.p.1.1', 'target_level': 2704, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '52.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 43546960
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543036624, 'target_is_minimal': False, 'target_label': '208.2.a.e.1.1', 'target_level': 208, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '52.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 43546961
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 337, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036339904645776, 'target_is_minimal': False, 'target_label': '2704.2.f.k.337.1', 'target_level': 2704, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '52.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 43546962
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 337, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036339904645776, 'target_is_minimal': False, 'target_label': '2704.2.f.k.337.2', 'target_level': 2704, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '52.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 43546963
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444114472, 'target_is_minimal': False, 'target_label': '2600.2.a.p.1.1', 'target_level': 2600, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '65.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 43546964
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1249, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036202465692200, 'target_is_minimal': False, 'target_label': '2600.2.d.k.1249.1', 'target_level': 2600, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '65.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 43546965
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1249, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45036202465692200, 'target_is_minimal': False, 'target_label': '2600.2.d.k.1249.4', 'target_level': 2600, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '65.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 43546966
{'conductor': 91, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562005480, 'target_is_minimal': False, 'target_label': '5096.2.a.m.1.1', 'target_level': 5096, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '91.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 43546967
{'conductor': 104, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189371712, 'target_is_minimal': False, 'target_label': '832.2.a.n.1.2', 'target_level': 832, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '104.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 43546968
{'conductor': 104, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307260224, 'target_is_minimal': False, 'target_label': '832.2.a.k.1.1', 'target_level': 832, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '104.45', 'twisting_conrey_index': 45, 'weight': 2}
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id: 43546969
{'conductor': 156, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 90071992580966224, 'target_is_minimal': False, 'target_label': '1872.2.a.u.1.2', 'target_level': 1872, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '156.71', 'twisting_conrey_index': 71, 'weight': 2}
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id: 43546970
{'conductor': 208, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1665, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079260555185408, 'target_is_minimal': False, 'target_label': '3328.2.b.w.1665.1', 'target_level': 3328, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '208.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 43546971
{'conductor': 208, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1665, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 108086459809926400, 'target_is_minimal': False, 'target_label': '3328.2.b.y.1665.4', 'target_level': 3328, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '208.45', 'twisting_conrey_index': 45, 'weight': 2}
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id: 43546972
{'conductor': 208, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1665, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 99079260555185408, 'target_is_minimal': False, 'target_label': '3328.2.b.w.1665.4', 'target_level': 3328, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '208.123', 'twisting_conrey_index': 123, 'weight': 2}
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id: 43546973
{'conductor': 208, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1665, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086459809926400, 'target_is_minimal': False, 'target_label': '3328.2.b.y.1665.1', 'target_level': 3328, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '208.149', 'twisting_conrey_index': 149, 'weight': 2}
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id: 43546974
{'conductor': 260, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 216172782147343440, 'target_is_minimal': False, 'target_label': '5200.2.a.bw.1.2', 'target_level': 5200, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '260.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 43546975
{'conductor': 312, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 324259173204237632, 'target_is_minimal': False, 'target_label': '7488.2.a.cu.1.1', 'target_level': 7488, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '312.149', 'twisting_conrey_index': 149, 'weight': 2}
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id: 43546976
{'conductor': 312, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1161, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511760988341576, 'source_is_minimal': False, 'source_label': '1352.2.o.d.1161.1', 'source_level': 1352, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 328762772831608128, 'target_is_minimal': False, 'target_label': '7488.2.a.cv.1.1', 'target_level': 7488, 'twist_class_label': '104.2.a.b.1.2', 'twist_class_level': 104, 'twisting_char_label': '312.227', 'twisting_conrey_index': 227, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1891700
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13511760988341576, 'p': 2}
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id: 1891701
{'charpoly_factorization': [[[16, -4, 5, 1, 1], 2]], 'hecke_orbit_code': 13511760988341576, 'p': 3}
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id: 1891702
{'charpoly_factorization': [[[4, 0, 13, 0, 1], 2]], 'hecke_orbit_code': 13511760988341576, 'p': 5}
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id: 1891703
{'charpoly_factorization': [[[256, 0, -144, 0, 65, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 13511760988341576, 'p': 7}
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id: 1891704
{'charpoly_factorization': [[[65536, 0, -9216, 0, 1040, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 13511760988341576, 'p': 11}
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id: 1891705
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13511760988341576, 'p': 13}
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id: 1891706
{'charpoly_factorization': [[[1444, -38, 39, 1, 1], 2]], 'hecke_orbit_code': 13511760988341576, 'p': 17}
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id: 1891707
{'charpoly_factorization': [[[65536, 0, -9216, 0, 1040, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 13511760988341576, 'p': 19}
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id: 1891708
{'charpoly_factorization': [[[64, 8, 1], 4]], 'hecke_orbit_code': 13511760988341576, 'p': 23}
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id: 1891709
{'charpoly_factorization': [[[4, -2, 1], 4]], 'hecke_orbit_code': 13511760988341576, 'p': 29}
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id: 1891710
{'charpoly_factorization': [[[16, 0, 1], 4]], 'hecke_orbit_code': 13511760988341576, 'p': 31}
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id: 1891711
{'charpoly_factorization': [[[456976, 0, -68276, 0, 9525, 0, -101, 0, 1], 1]], 'hecke_orbit_code': 13511760988341576, 'p': 37}
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id: 1891712
{'charpoly_factorization': [[[65536, 0, -9216, 0, 1040, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 13511760988341576, 'p': 41}
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id: 1891713
{'charpoly_factorization': [[[2704, -780, 173, -15, 1], 2]], 'hecke_orbit_code': 13511760988341576, 'p': 43}
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id: 1891714
{'charpoly_factorization': [[[16, 0, 161, 0, 1], 2]], 'hecke_orbit_code': 13511760988341576, 'p': 47}
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id: 1891715
{'charpoly_factorization': [[[-16, 2, 1], 4]], 'hecke_orbit_code': 13511760988341576, 'p': 53}
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id: 1891716
{'charpoly_factorization': [[[65536, 0, -9216, 0, 1040, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 13511760988341576, 'p': 59}
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id: 1891717
{'charpoly_factorization': [[[1024, 448, 164, 14, 1], 2]], 'hecke_orbit_code': 13511760988341576, 'p': 61}
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id: 1891718
{'charpoly_factorization': [[[65536, 0, -9216, 0, 1040, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 13511760988341576, 'p': 67}
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id: 1891719
{'charpoly_factorization': [[[1679616, 0, -104976, 0, 5265, 0, -81, 0, 1], 1]], 'hecke_orbit_code': 13511760988341576, 'p': 71}
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id: 1891720
{'charpoly_factorization': [[[36, 0, 1], 4]], 'hecke_orbit_code': 13511760988341576, 'p': 73}
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id: 1891721
{'charpoly_factorization': [[[-8, 1], 8]], 'hecke_orbit_code': 13511760988341576, 'p': 79}
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id: 1891722
{'charpoly_factorization': [[[1024, 0, 208, 0, 1], 2]], 'hecke_orbit_code': 13511760988341576, 'p': 83}
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id: 1891723
{'charpoly_factorization': [[[10000, 0, -100, 0, 1], 2]], 'hecke_orbit_code': 13511760988341576, 'p': 89}
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id: 1891724
{'charpoly_factorization': [[[4624, 0, -68, 0, 1], 2]], 'hecke_orbit_code': 13511760988341576, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 15, 'hecke_orbit': 4, 'label': '1352.2.o.d', 'level': 1352, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 37338253
{'hecke_orbit_code': 13511760988341576, 'n': 1, 'trace_an': 8}
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id: 37338254
{'hecke_orbit_code': 13511760988341576, 'n': 2, 'trace_an': 0}
-
id: 37338255
{'hecke_orbit_code': 13511760988341576, 'n': 3, 'trace_an': -2}
-
id: 37338256
{'hecke_orbit_code': 13511760988341576, 'n': 4, 'trace_an': 0}
-
id: 37338257
{'hecke_orbit_code': 13511760988341576, 'n': 5, 'trace_an': 0}
-
id: 37338258
{'hecke_orbit_code': 13511760988341576, 'n': 6, 'trace_an': 0}
-
id: 37338259
{'hecke_orbit_code': 13511760988341576, 'n': 7, 'trace_an': 0}
-
id: 37338260
{'hecke_orbit_code': 13511760988341576, 'n': 8, 'trace_an': 0}
-
id: 37338261
{'hecke_orbit_code': 13511760988341576, 'n': 9, 'trace_an': -6}
-
id: 37338262
{'hecke_orbit_code': 13511760988341576, 'n': 10, 'trace_an': 0}
-
id: 37338263
{'hecke_orbit_code': 13511760988341576, 'n': 11, 'trace_an': 0}
-
id: 37338264
{'hecke_orbit_code': 13511760988341576, 'n': 12, 'trace_an': 0}
-
id: 37338265
{'hecke_orbit_code': 13511760988341576, 'n': 13, 'trace_an': 0}
-
id: 37338266
{'hecke_orbit_code': 13511760988341576, 'n': 14, 'trace_an': 0}
-
id: 37338267
{'hecke_orbit_code': 13511760988341576, 'n': 15, 'trace_an': 0}
-
id: 37338268
{'hecke_orbit_code': 13511760988341576, 'n': 16, 'trace_an': 0}
-
id: 37338269
{'hecke_orbit_code': 13511760988341576, 'n': 17, 'trace_an': -2}
-
id: 37338270
{'hecke_orbit_code': 13511760988341576, 'n': 18, 'trace_an': 0}
-
id: 37338271
{'hecke_orbit_code': 13511760988341576, 'n': 19, 'trace_an': 0}
-
id: 37338272
{'hecke_orbit_code': 13511760988341576, 'n': 20, 'trace_an': 0}
-
id: 37338273
{'hecke_orbit_code': 13511760988341576, 'n': 21, 'trace_an': 0}
-
id: 37338274
{'hecke_orbit_code': 13511760988341576, 'n': 22, 'trace_an': 0}
-
id: 37338275
{'hecke_orbit_code': 13511760988341576, 'n': 23, 'trace_an': -32}
-
id: 37338276
{'hecke_orbit_code': 13511760988341576, 'n': 24, 'trace_an': 0}
-
id: 37338277
{'hecke_orbit_code': 13511760988341576, 'n': 25, 'trace_an': -12}
-
id: 37338278
{'hecke_orbit_code': 13511760988341576, 'n': 26, 'trace_an': 0}
-
id: 37338279
{'hecke_orbit_code': 13511760988341576, 'n': 27, 'trace_an': 28}
-
id: 37338280
{'hecke_orbit_code': 13511760988341576, 'n': 28, 'trace_an': 0}
-
id: 37338281
{'hecke_orbit_code': 13511760988341576, 'n': 29, 'trace_an': 8}
-
id: 37338282
{'hecke_orbit_code': 13511760988341576, 'n': 30, 'trace_an': 0}
-
id: 37338283
{'hecke_orbit_code': 13511760988341576, 'n': 31, 'trace_an': 0}
-
id: 37338284
{'hecke_orbit_code': 13511760988341576, 'n': 32, 'trace_an': 0}
-
id: 37338285
{'hecke_orbit_code': 13511760988341576, 'n': 33, 'trace_an': 0}
-
id: 37338286
{'hecke_orbit_code': 13511760988341576, 'n': 34, 'trace_an': 0}
-
id: 37338287
{'hecke_orbit_code': 13511760988341576, 'n': 35, 'trace_an': -14}
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