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mf_newforms • Show schema
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{'Nk2': 17472, 'analytic_conductor': 34.87865560289527, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [4368, 2, [3823, 1093, 1457, 1249, 2017], [2, 2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 337, 'conrey_indexes': [337], 'dim': 6, 'field_disc': -350464, 'field_disc_factorization': [[-1, 1], [2, 8], [37, 2]], 'field_poly': [2, -4, 4, 2, 2, -2, 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, [16, 0, 48, 0, 20, 0, 1]], [11, [400, 0, 384, 0, 44, 0, 1]], [17, [16, -16, 0, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050875853082896, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4368.2.h.o', 'level': 4368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '273.2.c.b', 'nf_label': '6.0.350464.1', 'prim_orbit_index': 2, 'qexp_display': 'q-q^{3}+(\\beta _{1}-\\beta _{3}-\\beta _{4}+\\beta _{5})q^{5}+\\beta _{4}q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4368.2.h', 'trace_display': [0, -6, 0, 0], 'trace_hash': 1343444871600879790, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.509', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
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'label': '4368.2.h.o', 'level': 4368, 'maxp': 2999, 'weight': 2}
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{'Nk2': 17472, 'analytic_conductor': 34.87865560289527, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [4368, 2, [3823, 1093, 1457, 1249, 2017], [2, 2, 2, 2, 1]], 'conrey_index': 337, 'cusp_dim': 872, 'dim': 84, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 481069895952, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 6, 6, 8, 10, 10, 10], 'label': '4368.2.h', 'level': 4368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 920, 'mf_new_dim': 84, 'num_forms': 20, 'prim_orbit_index': 2, 'relative_dim': 84, 'sturm_bound': 1792, 'trace_bound': 23, 'trace_display': [0, 0, 0, 0], 'traces': [84, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, -4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1202749
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4368.2.h.o', 'source_level': 4368, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '273.2.c.b', 'target_level': 273, 'twist_class_label': '273.2.c.b', 'twist_class_level': 273, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1202750
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4368.2.h.o', 'source_level': 4368, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '273.2.c.b', 'target_level': 273, 'twist_class_label': '273.2.c.b', 'twist_class_level': 273, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1202751
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4368.2.h.o', 'source_level': 4368, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '819.2.c.c', 'target_level': 819, 'twist_class_label': '273.2.c.b', 'twist_class_level': 273, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1202752
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4368.2.h.o', 'source_level': 4368, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '819.2.c.c', 'target_level': 819, 'twist_class_label': '273.2.c.b', 'twist_class_level': 273, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1202753
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4368.2.h.o', 'source_level': 4368, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1911.2.c.h', 'target_level': 1911, 'twist_class_label': '273.2.c.b', 'twist_class_level': 273, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1202754
{'conductor': 364, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4368.2.h.o', 'source_level': 4368, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1911.2.c.h', 'target_level': 1911, 'twist_class_label': '273.2.c.b', 'twist_class_level': 273, 'twisting_char_label': '364.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1202755
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4368.2.h.o', 'source_level': 4368, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '3549.2.a.k', 'target_level': 3549, 'twist_class_label': '273.2.c.b', 'twist_class_level': 273, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1202756
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4368.2.h.o', 'source_level': 4368, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '3549.2.a.q', 'target_level': 3549, 'twist_class_label': '273.2.c.b', 'twist_class_level': 273, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1202757
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4368.2.h.o', 'source_level': 4368, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4368.2.h.o', 'target_level': 4368, 'twist_class_label': '273.2.c.b', 'twist_class_level': 273, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1202758
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '4368.2.h.o', 'source_level': 4368, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4368.2.h.o', 'target_level': 4368, 'twist_class_label': '273.2.c.b', 'twist_class_level': 273, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3581750
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 63050875853082896, 'p': 2}
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id: 3581751
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 63050875853082896, 'p': 3}
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id: 3581752
{'charpoly_factorization': [[[16, 0, 48, 0, 20, 0, 1], 1]], 'hecke_orbit_code': 63050875853082896, 'p': 5}
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id: 3581753
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 63050875853082896, 'p': 7}
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id: 3581754
{'charpoly_factorization': [[[400, 0, 384, 0, 44, 0, 1], 1]], 'hecke_orbit_code': 63050875853082896, 'p': 11}
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id: 3581755
{'charpoly_factorization': [[[2197, 338, 351, 44, 27, 2, 1], 1]], 'hecke_orbit_code': 63050875853082896, 'p': 13}
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id: 3581756
{'charpoly_factorization': [[[16, -16, 0, 1], 2]], 'hecke_orbit_code': 63050875853082896, 'p': 17}
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id: 3581757
{'charpoly_factorization': [[[1024, 0, 512, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 63050875853082896, 'p': 19}
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id: 3581758
{'charpoly_factorization': [[[-8, -20, 2, 1], 2]], 'hecke_orbit_code': 63050875853082896, 'p': 23}
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id: 3581759
{'charpoly_factorization': [[[-40, -52, 2, 1], 2]], 'hecke_orbit_code': 63050875853082896, 'p': 29}
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id: 3581760
{'charpoly_factorization': [[[102400, 0, 7936, 0, 176, 0, 1], 1]], 'hecke_orbit_code': 63050875853082896, 'p': 31}
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id: 3581761
{'charpoly_factorization': [[[1024, 0, 512, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 63050875853082896, 'p': 37}
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id: 3581762
{'charpoly_factorization': [[[400, 0, 464, 0, 132, 0, 1], 1]], 'hecke_orbit_code': 63050875853082896, 'p': 41}
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id: 3581763
{'charpoly_factorization': [[[128, 32, -16, 1], 2]], 'hecke_orbit_code': 63050875853082896, 'p': 43}
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id: 3581764
{'charpoly_factorization': [[[2704, 0, 784, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 63050875853082896, 'p': 47}
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id: 3581765
{'charpoly_factorization': [[[6, 1], 6]], 'hecke_orbit_code': 63050875853082896, 'p': 53}
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id: 3581766
{'charpoly_factorization': [[[16, 0, 80, 0, 40, 0, 1], 1]], 'hecke_orbit_code': 63050875853082896, 'p': 59}
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id: 3581767
{'charpoly_factorization': [[[2392, -172, -14, 1], 2]], 'hecke_orbit_code': 63050875853082896, 'p': 61}
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id: 3581768
{'charpoly_factorization': [[[1024, 0, 3072, 0, 128, 0, 1], 1]], 'hecke_orbit_code': 63050875853082896, 'p': 67}
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id: 3581769
{'charpoly_factorization': [[[547600, 0, 30784, 0, 332, 0, 1], 1]], 'hecke_orbit_code': 63050875853082896, 'p': 71}
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id: 3581770
{'charpoly_factorization': [[[43264, 0, 6720, 0, 272, 0, 1], 1]], 'hecke_orbit_code': 63050875853082896, 'p': 73}
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id: 3581771
{'charpoly_factorization': [[[-80, 72, -16, 1], 2]], 'hecke_orbit_code': 63050875853082896, 'p': 79}
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id: 3581772
{'charpoly_factorization': [[[1567504, 0, 49616, 0, 408, 0, 1], 1]], 'hecke_orbit_code': 63050875853082896, 'p': 83}
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id: 3581773
{'charpoly_factorization': [[[5776, 0, 6832, 0, 212, 0, 1], 1]], 'hecke_orbit_code': 63050875853082896, 'p': 89}
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id: 3581774
{'charpoly_factorization': [[[256, 0, 256, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 63050875853082896, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 8, 'hecke_orbit': 15, 'label': '4368.2.h.o', 'level': 4368, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 233760000
{'hecke_orbit_code': 63050875853082896, 'n': 1, 'trace_an': 6}
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id: 233760001
{'hecke_orbit_code': 63050875853082896, 'n': 2, 'trace_an': 0}
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id: 233760002
{'hecke_orbit_code': 63050875853082896, 'n': 3, 'trace_an': -6}
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id: 233760003
{'hecke_orbit_code': 63050875853082896, 'n': 4, 'trace_an': 0}
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id: 233760004
{'hecke_orbit_code': 63050875853082896, 'n': 5, 'trace_an': 0}
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id: 233760005
{'hecke_orbit_code': 63050875853082896, 'n': 6, 'trace_an': 0}
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id: 233760006
{'hecke_orbit_code': 63050875853082896, 'n': 7, 'trace_an': 0}
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id: 233760007
{'hecke_orbit_code': 63050875853082896, 'n': 8, 'trace_an': 0}
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id: 233760008
{'hecke_orbit_code': 63050875853082896, 'n': 9, 'trace_an': 6}
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id: 233760009
{'hecke_orbit_code': 63050875853082896, 'n': 10, 'trace_an': 0}
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id: 233760010
{'hecke_orbit_code': 63050875853082896, 'n': 11, 'trace_an': 0}
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id: 233760011
{'hecke_orbit_code': 63050875853082896, 'n': 12, 'trace_an': 0}
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id: 233760012
{'hecke_orbit_code': 63050875853082896, 'n': 13, 'trace_an': -2}
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id: 233760013
{'hecke_orbit_code': 63050875853082896, 'n': 14, 'trace_an': 0}
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id: 233760014
{'hecke_orbit_code': 63050875853082896, 'n': 15, 'trace_an': 0}
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id: 233760015
{'hecke_orbit_code': 63050875853082896, 'n': 16, 'trace_an': 0}
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id: 233760016
{'hecke_orbit_code': 63050875853082896, 'n': 17, 'trace_an': 0}
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id: 233760017
{'hecke_orbit_code': 63050875853082896, 'n': 18, 'trace_an': 0}
-
id: 233760018
{'hecke_orbit_code': 63050875853082896, 'n': 19, 'trace_an': 0}
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id: 233760019
{'hecke_orbit_code': 63050875853082896, 'n': 20, 'trace_an': 0}
-
id: 233760020
{'hecke_orbit_code': 63050875853082896, 'n': 21, 'trace_an': 0}
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id: 233760021
{'hecke_orbit_code': 63050875853082896, 'n': 22, 'trace_an': 0}
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id: 233760022
{'hecke_orbit_code': 63050875853082896, 'n': 23, 'trace_an': -4}
-
id: 233760023
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