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mf_newforms • Show schema
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{'Nk2': 936, 'analytic_conductor': 1.868499407297961, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [234, 3, [209, 145], [2, 3]], 'cm_discs': [], 'conrey_index': 79, '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': [[5, [441, -231, 163, -20, 15, -2, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511073793573098, 'hecke_ring_generator_nbound': 5, '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, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '234.2.e.d', 'level': 234, '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': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '234.2.e.d', 'nf_label': '6.0.309123.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{4}q^{2}+(\\beta _{2}+\\beta _{4})q^{3}+(-1-\\beta _{4}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '234.2.e', 'trace_display': [3, -2, 2, 2], 'trace_hash': 711180612741555831, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.033', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.059', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 936, 'analytic_conductor': 1.868499407297961, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [234, 3, [209, 145], [2, 3]], 'conrey_index': 79, 'cusp_dim': 76, 'dim': 24, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 274911461610, 'hecke_orbit_dims': [2, 4, 4, 6, 8], 'label': '234.2.e', 'level': 234, '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': [2, 3, 13], 'level_radical': 78, 'mf_dim': 92, 'mf_new_dim': 24, 'num_forms': 5, 'prim_orbit_index': 3, 'relative_dim': 12, 'sturm_bound': 84, 'trace_bound': 3, 'trace_display': [2, 6, 0, 0], 'traces': [24, 2, 6, -12, 0, -6, 0, -4, 10, 0, 2, 0, 0, -4, 8, -12, 28, -4, 12, 0, -4, -6, -4, 6, -24, -12, 18, 0, -4, -8, -12, 2, -34, -6, -36, -14, 24, -2, 0, 0, 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mf_twists_cc • Show schema
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id: 43178272
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 157, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511073793573098, 'source_is_minimal': True, 'source_label': '234.2.e.d.157.3', 'source_level': 234, 'target_conrey_index': 157, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511073793573098, 'target_is_minimal': True, 'target_label': '234.2.e.d.157.3', 'target_level': 234, 'twist_class_label': '234.2.e.d.79.3', 'twist_class_level': 234, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43178273
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 157, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511073793573098, 'source_is_minimal': True, 'source_label': '234.2.e.d.157.3', 'source_level': 234, 'target_conrey_index': 469, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511073793573566, 'target_is_minimal': False, 'target_label': '702.2.e.d.469.3', 'target_level': 702, 'twist_class_label': '234.2.e.d.79.3', 'twist_class_level': 234, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43178274
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 157, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511073793573098, 'source_is_minimal': True, 'source_label': '234.2.e.d.157.3', 'source_level': 234, 'target_conrey_index': 235, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511073793573566, 'target_is_minimal': False, 'target_label': '702.2.e.d.235.3', 'target_level': 702, 'twist_class_label': '234.2.e.d.79.3', 'twist_class_level': 234, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43178275
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 157, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511073793573098, 'source_is_minimal': True, 'source_label': '234.2.e.d.157.3', 'source_level': 234, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 72057594071484474, 'target_is_minimal': False, 'target_label': '2106.2.a.q.1.3', 'target_level': 2106, 'twist_class_label': '234.2.e.d.79.3', 'twist_class_level': 234, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43178276
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 157, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511073793573098, 'source_is_minimal': True, 'source_label': '234.2.e.d.157.3', 'source_level': 234, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698854970, 'target_is_minimal': False, 'target_label': '2106.2.a.r.1.1', 'target_level': 2106, 'twist_class_label': '234.2.e.d.79.3', 'twist_class_level': 234, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43178277
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 157, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511073793573098, 'source_is_minimal': True, 'source_label': '234.2.e.d.157.3', 'source_level': 234, 'target_conrey_index': 79, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511073793573098, 'target_is_minimal': True, 'target_label': '234.2.e.d.79.3', 'target_level': 234, 'twist_class_label': '234.2.e.d.79.3', 'twist_class_level': 234, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 553050
{'charpoly_factorization': [[[1, -1, 1], 3]], 'hecke_orbit_code': 13511073793573098, 'p': 2}
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id: 553051
{'charpoly_factorization': [[[27, 18, -6, -9, -2, 2, 1], 1]], 'hecke_orbit_code': 13511073793573098, 'p': 3}
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id: 553052
{'charpoly_factorization': [[[441, -231, 163, -20, 15, -2, 1], 1]], 'hecke_orbit_code': 13511073793573098, 'p': 5}
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id: 553053
{'charpoly_factorization': [[[2209, -893, 455, -56, 23, -2, 1], 1]], 'hecke_orbit_code': 13511073793573098, 'p': 7}
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id: 553054
{'charpoly_factorization': [[[5184, 1440, 688, 64, 36, 4, 1], 1]], 'hecke_orbit_code': 13511073793573098, 'p': 11}
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id: 553055
{'charpoly_factorization': [[[1, 1, 1], 3]], 'hecke_orbit_code': 13511073793573098, 'p': 13}
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id: 553056
{'charpoly_factorization': [[[3, 1, -4, 1], 2]], 'hecke_orbit_code': 13511073793573098, 'p': 17}
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id: 553057
{'charpoly_factorization': [[[88, 8, -10, 1], 2]], 'hecke_orbit_code': 13511073793573098, 'p': 19}
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id: 553058
{'charpoly_factorization': [[[36, -6, 1], 3]], 'hecke_orbit_code': 13511073793573098, 'p': 23}
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id: 553059
{'charpoly_factorization': [[[5184, -1728, 1008, 0, 60, -6, 1], 1]], 'hecke_orbit_code': 13511073793573098, 'p': 29}
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id: 553060
{'charpoly_factorization': [[[5329, 657, 738, 65, 90, 9, 1], 1]], 'hecke_orbit_code': 13511073793573098, 'p': 31}
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id: 553061
{'charpoly_factorization': [[[31, 53, 14, 1], 2]], 'hecke_orbit_code': 13511073793573098, 'p': 37}
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id: 553062
{'charpoly_factorization': [[[576, -960, 1264, -512, 156, -14, 1], 1]], 'hecke_orbit_code': 13511073793573098, 'p': 41}
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id: 553063
{'charpoly_factorization': [[[37249, 19879, 11381, -26, 119, 4, 1], 1]], 'hecke_orbit_code': 13511073793573098, 'p': 43}
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id: 553064
{'charpoly_factorization': [[[81, -63, 139, 88, 93, 10, 1], 1]], 'hecke_orbit_code': 13511073793573098, 'p': 47}
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id: 553065
{'charpoly_factorization': [[[-1176, -140, 8, 1], 2]], 'hecke_orbit_code': 13511073793573098, 'p': 53}
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id: 553066
{'charpoly_factorization': [[[36864, -12288, 7936, 1664, 336, 20, 1], 1]], 'hecke_orbit_code': 13511073793573098, 'p': 59}
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id: 553067
{'charpoly_factorization': [[[3136, 3808, 3728, 976, 188, 16, 1], 1]], 'hecke_orbit_code': 13511073793573098, 'p': 61}
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id: 553068
{'charpoly_factorization': [[[4096, 9216, 20736, 128, 144, 0, 1], 1]], 'hecke_orbit_code': 13511073793573098, 'p': 67}
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id: 553069
{'charpoly_factorization': [[[3, 13, 10, 1], 2]], 'hecke_orbit_code': 13511073793573098, 'p': 71}
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id: 553070
{'charpoly_factorization': [[[-8, -36, 0, 1], 2]], 'hecke_orbit_code': 13511073793573098, 'p': 73}
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id: 553071
{'charpoly_factorization': [[[153664, -32928, 11760, 224, 228, -12, 1], 1]], 'hecke_orbit_code': 13511073793573098, 'p': 79}
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id: 553072
{'charpoly_factorization': [[[627264, 47520, 13104, 864, 204, 12, 1], 1]], 'hecke_orbit_code': 13511073793573098, 'p': 83}
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id: 553073
{'charpoly_factorization': [[[24, 16, -10, 1], 2]], 'hecke_orbit_code': 13511073793573098, 'p': 89}
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id: 553074
{'charpoly_factorization': [[[222784, 47200, 11888, 544, 116, 4, 1], 1]], 'hecke_orbit_code': 13511073793573098, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 4, 'label': '234.2.e.d', 'level': 234, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 36419773
{'hecke_orbit_code': 13511073793573098, 'n': 1, 'trace_an': 6}
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id: 36419774
{'hecke_orbit_code': 13511073793573098, 'n': 2, 'trace_an': 3}
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id: 36419775
{'hecke_orbit_code': 13511073793573098, 'n': 3, 'trace_an': -2}
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id: 36419776
{'hecke_orbit_code': 13511073793573098, 'n': 4, 'trace_an': -3}
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id: 36419777
{'hecke_orbit_code': 13511073793573098, 'n': 5, 'trace_an': 2}
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id: 36419778
{'hecke_orbit_code': 13511073793573098, 'n': 6, 'trace_an': 2}
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id: 36419779
{'hecke_orbit_code': 13511073793573098, 'n': 7, 'trace_an': 2}
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id: 36419780
{'hecke_orbit_code': 13511073793573098, 'n': 8, 'trace_an': -6}
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id: 36419781
{'hecke_orbit_code': 13511073793573098, 'n': 9, 'trace_an': 8}
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id: 36419782
{'hecke_orbit_code': 13511073793573098, 'n': 10, 'trace_an': 4}
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id: 36419783
{'hecke_orbit_code': 13511073793573098, 'n': 11, 'trace_an': -4}
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id: 36419784
{'hecke_orbit_code': 13511073793573098, 'n': 12, 'trace_an': 4}
-
id: 36419785
{'hecke_orbit_code': 13511073793573098, 'n': 13, 'trace_an': -3}
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id: 36419786
{'hecke_orbit_code': 13511073793573098, 'n': 14, 'trace_an': -2}
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id: 36419787
{'hecke_orbit_code': 13511073793573098, 'n': 15, 'trace_an': -13}
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id: 36419788
{'hecke_orbit_code': 13511073793573098, 'n': 16, 'trace_an': -3}
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id: 36419789
{'hecke_orbit_code': 13511073793573098, 'n': 17, 'trace_an': 8}
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id: 36419790
{'hecke_orbit_code': 13511073793573098, 'n': 18, 'trace_an': 4}
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id: 36419791
{'hecke_orbit_code': 13511073793573098, 'n': 19, 'trace_an': 20}
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id: 36419792
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id: 36419998
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id: 36419999
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id: 36420000
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id: 36420001
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id: 36420002
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id: 36420003
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id: 36420004
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id: 36420005
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id: 36420006
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id: 36420007
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id: 36420008
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id: 36420009
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id: 36420010
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id: 36420011
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id: 36420012
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id: 36420013
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id: 36420014
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id: 36420015
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id: 36420016
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id: 36420017
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id: 36420018
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id: 36420019
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id: 36420020
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id: 36420021
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id: 36420022
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id: 36420023
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id: 36420024
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id: 36420025
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id: 36420026
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id: 36420027
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id: 36420028
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id: 36420029
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id: 36420030
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