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{'Nk2': 27600, 'analytic_conductor': 55.096777394683464, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, -1], [23, 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': [6900, 1, [3451, 4601, 277, 1201], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 73, 'field_disc_factorization': [[73, 1]], 'field_poly': [-18, -1, 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': [[7, [-1, 1]], [11, [-18, 1, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189377780, 'hecke_ring_generator_nbound': 11, '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': '6900.2.a.n', 'level': 6900, '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, 5, 23], 'level_radical': 690, 'minimal_twist': '6900.2.a.n', 'nf_label': '2.2.73.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+q^{7}+q^{9}+(-1+\\beta )q^{11}+q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6900.2.a', 'trace_display': [0, -2, 0, 2], 'trace_hash': 648602571255278381, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.985', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.072', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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[-25, -9], [46, 7], [-22, -6]], 'char_orbit_index': 1, 'field_poly': [-18, -1, 1], 'hecke_orbit_code': 58546795189377780, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '6900.2.a.n', 'level': 6900, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 9, 7, 7, 11, 8, 10, 10, 6], 'Nk2': 27600, 'analytic_conductor': 55.096777394683464, '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': [6900, 1, [3451, 4601, 277, 1201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1405, 'dim': 68, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 33561332, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 7, 7], 'label': '6900.2.a', 'level': 6900, '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, 5, 23], 'level_radical': 690, 'mf_dim': 1476, 'mf_new_dim': 68, 'num_forms': 30, 'plus_dim': 28, 'prim_orbit_index': 1, 'relative_dim': 68, 'sturm_bound': 2880, 'trace_bound': 11, 'trace_display': [0, 0, 0, -4], 'traces': [68, 0, 0, 0, 0, 0, -4, 0, 68, 0, 0, 0, 0, 0, 0, 0, 4, 0, -8, 0, -8, 0, 0, 0, 0, 0, 0, 0, 40, 0, -12, 0, -8, 0, 0, 0, 0, 0, -12, 0, 40, 0, -12, 0, 0, 0, -8, 0, 48, 0, -4, 0, -12, 0, 0, 0, 4, 0, 16, 0, 28, 0, -4, 0, 0, 0, 20, 0, -4, 0, -8, 0, 0, 0, 0, 0, 40, 0, -12, 0, 68, 0, 32, 0, 0, 0, 0, 0, 20, 0, 28, 0, -8, 0, 0, 0, -16, 0, 0, 0, 16, 0, -44, 0, 0, 0, 24, 0, 28, 0, 16, 0, -20, 0, 0, 0, 0, 0, -56, 0, 20, 0, 0, 0, 0, 0, 24, 0, -8, 0, 8, 0, -16, 0, 0, 0, 4, 0, 32, 0, -24, 0, -24, 0, 0, 0, 8, 0, -20, 0, 68, 0, 4, 0, 0, 0, -56, 0, 76, 0, 4, 0, -16, 0, 0, 0, 32, 0, 32, 0, -8, 0, 8, 0, 0, 0, -8, 0, -24, 0, 68, 0, -24, 0, 0, 0, 32, 0, -8, 0, 24, 0, 0, 0, 0, 0, 24, 0, 72, 0, -8, 0, 24, 0, 0, 0, 0, 0, 48, 0, -28, 0, 8, 0, 0, 0, 88, 0, -8, 0, 56, 0, -8, 0, 0, 0, 40, 0, 44, 0, 88, 0, -24, 0, 0, 0, -4, 0, 16, 0, 60, 0, 0, 0, 0, 0, 8, 0, 32, 0, 104, 0, 0, 0, 0, 0, 104, 0, -16, 0, 40, 0, 32, 0, 0, 0, -12, 0, 48, 0, 112, 0, -32, 0, 0, 0, 40, 0, -12, 0, 28, 0, 44, 0, 0, 0, 160, 0, 68, 0, -12, 0, 68, 0, 0, 0, -8, 0, -8, 0, -44, 0, 0, 0, 0, 0, 80, 0, -12, 0, 24, 0, 40, 0, 0, 0, -24, 0, 16, 0, 0, 0, -16, 0, 0, 0, -32, 0, 184, 0, 56, 0, 0, 0, 0, 0, -40, 0, -4, 0, 128, 0, -32, 0, 0, 0, -64, 0, -24, 0, -12, 0, -56, 0, 0, 0, 48, 0, 24, 0, 160, 0, -32, 0, 0, 0, 4, 0, 40, 0, 64, 0, 16, 0, 0, 0, -48, 0, -120, 0, -8, 0, -8, 0, 0, 0, -12, 0, 156, 0, 4, 0, 24, 0, 0, 0, -24, 0, -20, 0, -4, 0, -40, 0, 0, 0, 48, 0, -12, 0, 20, 0, 40, 0, 0, 0, 0, 0, 40, 0, 56, 0, -8, 0, 0, 0, -8, 0, -32, 0, -56, 0, 96, 0, 0, 0, 12, 0, 172, 0, 48, 0, 56, 0, 0, 0, 60, 0, -16, 0, -24, 0, 32, 0, 0, 0, 80, 0, -4, 0, 8, 0, -16, 0, 0, 0, -80, 0, 108, 0, -68, 0, -104, 0, 0, 0, -12, 0, 112, 0, -48, 0, 4, 0, 0, 0, 168, 0, -92, 0, 0, 0, -112, 0, 0, 0, -56, 0, -44, 0, 24, 0, 0, 0, 0, 0, 0, 0, -120, 0, -8, 0, 4, 0, 0, 0, 152, 0, -16, 0, 164, 0, -68, 0, 0, 0, 88, 0, 68, 0, 16, 0, -136, 0, 0, 0, 56, 0, 24, 0, -36, 0, 0, 0, 0, 0, 16, 0, 28, 0, -24, 0, 0, 0, 0, 0, -132, 0, 84, 0, 48, 0, -48, 0, 0, 0, -4, 0, 44, 0, -32, 0, 48, 0, 0, 0, -88, 0, -116, 0, 136, 0, -56, 0, 0, 0, 80, 0, 12, 0, 48, 0, 136, 0, 0, 0, -12, 0, 72, 0, 4, 0, 20, 0, 0, 0, -24, 0, 56, 0, 88, 0, -8, 0, 0, 0, -108, 0, -64, 0, -4, 0, 24, 0, 0, 0, -8, 0, 152, 0, 80, 0, -40, 0, 0, 0, -64, 0, -8, 0, 196, 0, -44, 0, 0, 0, 168, 0, 384, 0, -164, 0, 88, 0, 0, 0, 0, 0, -40, 0, 232, 0, 72, 0, 0, 0, 24, 0, 52, 0, 144, 0, 16, 0, 0, 0, 92, 0, -68, 0, 88, 0, -104, 0, 0, 0, 32, 0, 328, 0, 8, 0, 40, 0, 0, 0, -88, 0, 24, 0, -44, 0, 80, 0, 0, 0, -144, 0, 100, 0, -12, 0, -24, 0, 0, 0, 8, 0, -192, 0, 56, 0, -104, 0, 0, 0, -92, 0, 68, 0, -184, 0, -40, 0, 0, 0, -48, 0, -224, 0, -52, 0, 8, 0, 0, 0, 32, 0, -64, 0, -28, 0, 8, 0, 0, 0, -80, 0, 0, 0, -104, 0, 8, 0, 0, 0, 160, 0, 60, 0, -40, 0, 52, 0, 0, 0, 56, 0, -72, 0, -64, 0, 0, 0, 0, 0, -252, 0, -48, 0, -48, 0, -40, 0, 0, 0, -124, 0, -48, 0, 20, 0, -216, 0, 0, 0, -48, 0, -136, 0, -124, 0, -40, 0, 0, 0, 120, 0, 28, 0, 128, 0, -48, 0, 0, 0, -144, 0, 104, 0, -36, 0, 12, 0, 0, 0, -8, 0, -224, 0, -100, 0, -44, 0, 0, 0, -204, 0, -64, 0, -40, 0, 176, 0, 0, 0, -32, 0, -208, 0, 104, 0, -56, 0, 0, 0, -40, 0, -200, 0, -284, 0, -16, 0, 0, 0, 104, 0, 68, 0, 124, 0, -80, 0, 0, 0, -64, 0, -192, 0, 0, 0, -48, 0, 0, 0, 8, 0, -40, 0, 16, 0, -56, 0, 0, 0, 84, 0, 16, 0, -336, 0, 160, 0, 0, 0, 0, 0, -72, 0, -92, 0, -248, 0, 0, 0, -44, 0, 64, 0, -28, 0, 128, 0, 0, 0, -88, 0, -44, 0, -204, 0, -16, 0, 0, 0, 248, 0, 168, 0, -96, 0, 28, 0, 0, 0, 0, 0, -392, 0, 184, 0, 24, 0, 0, 0, -72, 0, -8, 0, -72, 0, 112, 0, 0, 0, 132, 0, -280, 0, 28, 0, 112, 0, 0, 0, 0, 0, -20, 0, -4, 0, 72, 0, 0, 0, 280, 0, 16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1322689
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': True, 'source_label': '6900.2.a.n', 'source_level': 6900, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '6900.2.a.n', 'target_level': 6900, 'twist_class_label': '6900.2.a.n', 'twist_class_level': 6900, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1322690
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': True, 'source_label': '6900.2.a.n', 'source_level': 6900, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': True, 'target_label': '6900.2.a.t', 'target_level': 6900, 'twist_class_label': '6900.2.a.n', 'twist_class_level': 6900, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1322691
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': True, 'source_label': '6900.2.a.n', 'source_level': 6900, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '6900.2.f.j', 'target_level': 6900, 'twist_class_label': '6900.2.a.n', 'twist_class_level': 6900, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4307225
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 58546795189377780, 'p': 2}
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id: 4307226
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 58546795189377780, 'p': 3}
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id: 4307227
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 58546795189377780, 'p': 5}
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id: 4307228
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 58546795189377780, 'p': 7}
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id: 4307229
{'charpoly_factorization': [[[-18, 1, 1], 1]], 'hecke_orbit_code': 58546795189377780, 'p': 11}
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id: 4307230
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 58546795189377780, 'p': 13}
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id: 4307231
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 58546795189377780, 'p': 17}
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id: 4307232
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 58546795189377780, 'p': 19}
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id: 4307233
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 58546795189377780, 'p': 23}
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id: 4307234
{'charpoly_factorization': [[[-16, 3, 1], 1]], 'hecke_orbit_code': 58546795189377780, 'p': 29}
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id: 4307235
{'charpoly_factorization': [[[-16, -3, 1], 1]], 'hecke_orbit_code': 58546795189377780, 'p': 31}
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id: 4307236
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 58546795189377780, 'p': 37}
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id: 4307237
{'charpoly_factorization': [[[-12, -5, 1], 1]], 'hecke_orbit_code': 58546795189377780, 'p': 41}
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id: 4307238
{'charpoly_factorization': [[[-69, -4, 1], 1]], 'hecke_orbit_code': 58546795189377780, 'p': 43}
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id: 4307239
{'charpoly_factorization': [[[-48, 10, 1], 1]], 'hecke_orbit_code': 58546795189377780, 'p': 47}
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id: 4307240
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 58546795189377780, 'p': 53}
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id: 4307241
{'charpoly_factorization': [[[-64, -6, 1], 1]], 'hecke_orbit_code': 58546795189377780, 'p': 59}
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id: 4307242
{'charpoly_factorization': [[[-162, -3, 1], 1]], 'hecke_orbit_code': 58546795189377780, 'p': 61}
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id: 4307243
{'charpoly_factorization': [[[-12, -5, 1], 1]], 'hecke_orbit_code': 58546795189377780, 'p': 67}
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id: 4307244
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 58546795189377780, 'p': 71}
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id: 4307245
{'charpoly_factorization': [[[138, 25, 1], 1]], 'hecke_orbit_code': 58546795189377780, 'p': 73}
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id: 4307246
{'charpoly_factorization': [[[-152, 7, 1], 1]], 'hecke_orbit_code': 58546795189377780, 'p': 79}
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id: 4307247
{'charpoly_factorization': [[[138, 25, 1], 1]], 'hecke_orbit_code': 58546795189377780, 'p': 83}
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id: 4307248
{'charpoly_factorization': [[[-72, -2, 1], 1]], 'hecke_orbit_code': 58546795189377780, 'p': 89}
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id: 4307249
{'charpoly_factorization': [[[38, 15, 1], 1]], 'hecke_orbit_code': 58546795189377780, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 14, 'label': '6900.2.a.n', 'level': 6900, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 227742000
{'hecke_orbit_code': 58546795189377780, 'n': 1, 'trace_an': 2}
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id: 227742001
{'hecke_orbit_code': 58546795189377780, 'n': 2, 'trace_an': 0}
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id: 227742002
{'hecke_orbit_code': 58546795189377780, 'n': 3, 'trace_an': -2}
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id: 227742003
{'hecke_orbit_code': 58546795189377780, 'n': 4, 'trace_an': 0}
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id: 227742004
{'hecke_orbit_code': 58546795189377780, 'n': 5, 'trace_an': 0}
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id: 227742005
{'hecke_orbit_code': 58546795189377780, 'n': 6, 'trace_an': 0}
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id: 227742006
{'hecke_orbit_code': 58546795189377780, 'n': 7, 'trace_an': 2}
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id: 227742007
{'hecke_orbit_code': 58546795189377780, 'n': 8, 'trace_an': 0}
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id: 227742008
{'hecke_orbit_code': 58546795189377780, 'n': 9, 'trace_an': 2}
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id: 227742009
{'hecke_orbit_code': 58546795189377780, 'n': 10, 'trace_an': 0}
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id: 227742010
{'hecke_orbit_code': 58546795189377780, 'n': 11, 'trace_an': -1}
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id: 227742011
{'hecke_orbit_code': 58546795189377780, 'n': 12, 'trace_an': 0}
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id: 227742012
{'hecke_orbit_code': 58546795189377780, 'n': 13, 'trace_an': 2}
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id: 227742013
{'hecke_orbit_code': 58546795189377780, 'n': 14, 'trace_an': 0}
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id: 227742014
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