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mf_newforms • Show schema
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{'Nk2': 7220, 'analytic_conductor': 14.41299756484111, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1805, 2, [362, 1446], [1, 2]], 'cm_discs': [], 'conrey_index': 1084, 'conrey_indexes': [1084], 'dim': 6, 'field_disc': -4227136, 'field_disc_factorization': [[-1, 1], [2, 6], [257, 2]], 'field_poly': [1, 0, 7, 0, 6, 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': [[2, [1, 0, 6, 0, 7, 0, 1]], [29, [-27, -27, 6, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021666517255949, 'hecke_ring_generator_nbound': 2, '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, 5, 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': '1805.2.b.g', 'level': 1805, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 19], 'level_radical': 95, 'minimal_twist': '95.2.i.b', 'nf_label': '6.0.4227136.1', 'prim_orbit_index': 2, 'qexp_display': 'q+(\\beta _{1}+\\beta _{5})q^{2}+(-\\beta _{1}-\\beta _{4}-\\beta _{5})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1805.2.b', 'trace_display': [0, 0, 2, 0], 'trace_hash': 1092877954092471822, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.622', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '171.547', 'prec': 24}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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'char_orbit_index': 2, 'field_poly': [1, 0, 7, 0, 6, 0, 1], 'hecke_orbit_code': 27021666517255949, 'hecke_ring_character_values': [[362, [-1, 0, 0, 0, 0, 0]], [1446, [1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-2, 0, 1, 0, 0, 0], [0, -3, 0, 0, 1, 1], [7, 0, -5, 1, 0, 0], [0, 12, 0, 0, -6, -5]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [2, 0, 1, 0, 0, 0], [3, 0, 5, 0, 1, 0], [0, -3, 0, -5, 0, -1], [0, 6, 0, 6, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '1805.2.b.g', 'level': 1805, 'maxp': 1999, 'weight': 2}
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{'Nk2': 7220, 'analytic_conductor': 14.41299756484111, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1805, 2, [362, 1446], [1, 2]], 'conrey_index': 1084, 'cusp_dim': 170, 'dim': 154, 'eis_dim': 40, 'eis_new_dim': 34, 'hecke_cutter_primes': [2, 29], 'hecke_orbit_code': 68753032973, 'hecke_orbit_dims': [2, 2, 2, 2, 6, 6, 6, 8, 16, 16, 24, 24, 40], 'label': '1805.2.b', 'level': 1805, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 19], 'level_radical': 95, 'mf_dim': 210, 'mf_new_dim': 188, 'num_forms': 13, 'prim_orbit_index': 2, 'relative_dim': 154, 'sturm_bound': 380, 'trace_bound': 10, 'trace_display': [0, 0, 4, 0], 'traces': [154, 0, 0, -138, 4, 0, 0, 0, -118, -8, 4, 0, 0, 12, -10, 114, 0, 0, 0, -30, -20, 0, 0, 0, 4, -4, 0, 0, 24, -24, 8, 0, 0, -16, -8, 106, 0, 0, -44, 4, 8, 0, 0, 28, 16, 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68], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 820033
{'conductor': 19, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1805.2.b.g', 'source_level': 1805, 'target_char_orbit': 9, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '95.2.i.b', 'target_level': 95, 'twist_class_label': '95.2.i.b', 'twist_class_level': 95, 'twisting_char_label': '19.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 820034
{'conductor': 95, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1805.2.b.g', 'source_level': 1805, 'target_char_orbit': 9, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '95.2.i.b', 'target_level': 95, 'twist_class_label': '95.2.i.b', 'twist_class_level': 95, 'twisting_char_label': '95.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 820035
{'conductor': 95, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1805.2.b.g', 'source_level': 1805, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '475.2.e.g', 'target_level': 475, 'twist_class_label': '95.2.i.b', 'twist_class_level': 95, 'twisting_char_label': '95.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 820036
{'conductor': 57, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1805.2.b.g', 'source_level': 1805, 'target_char_orbit': 31, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '855.2.be.d', 'target_level': 855, 'twist_class_label': '95.2.i.b', 'twist_class_level': 95, 'twisting_char_label': '57.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 820037
{'conductor': 285, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1805.2.b.g', 'source_level': 1805, 'target_char_orbit': 31, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '855.2.be.d', 'target_level': 855, 'twist_class_label': '95.2.i.b', 'twist_class_level': 95, 'twisting_char_label': '285.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 820038
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1805.2.b.g', 'source_level': 1805, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1805.2.b.f', 'target_level': 1805, 'twist_class_label': '95.2.i.b', 'twist_class_level': 95, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 820039
{'conductor': 95, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1805.2.b.g', 'source_level': 1805, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1805.2.b.f', 'target_level': 1805, 'twist_class_label': '95.2.i.b', 'twist_class_level': 95, 'twisting_char_label': '95.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 820040
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1805.2.b.g', 'source_level': 1805, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1805.2.b.g', 'target_level': 1805, 'twist_class_label': '95.2.i.b', 'twist_class_level': 95, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 820041
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1805.2.b.g', 'source_level': 1805, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1805.2.b.g', 'target_level': 1805, 'twist_class_label': '95.2.i.b', 'twist_class_level': 95, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 820042
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1805.2.b.g', 'source_level': 1805, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '9025.2.a.bt', 'target_level': 9025, 'twist_class_label': '95.2.i.b', 'twist_class_level': 95, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 820043
{'conductor': 95, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1805.2.b.g', 'source_level': 1805, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '9025.2.a.bu', 'target_level': 9025, 'twist_class_label': '95.2.i.b', 'twist_class_level': 95, 'twisting_char_label': '95.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 5188775
{'charpoly_factorization': [[[1, 0, 6, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 27021666517255949, 'p': 2}
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id: 5188776
{'charpoly_factorization': [[[25, 0, 36, 0, 13, 0, 1], 1]], 'hecke_orbit_code': 27021666517255949, 'p': 3}
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id: 5188777
{'charpoly_factorization': [[[125, -50, -5, 4, -1, -2, 1], 1]], 'hecke_orbit_code': 27021666517255949, 'p': 5}
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id: 5188778
{'charpoly_factorization': [[[9, 0, 35, 0, 22, 0, 1], 1]], 'hecke_orbit_code': 27021666517255949, 'p': 7}
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id: 5188779
{'charpoly_factorization': [[[3, -4, -1, 1], 2]], 'hecke_orbit_code': 27021666517255949, 'p': 11}
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id: 5188780
{'charpoly_factorization': [[[9, 0, 239, 0, 31, 0, 1], 1]], 'hecke_orbit_code': 27021666517255949, 'p': 13}
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id: 5188781
{'charpoly_factorization': [[[81, 0, 198, 0, 35, 0, 1], 1]], 'hecke_orbit_code': 27021666517255949, 'p': 17}
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id: 5188782
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 27021666517255949, 'p': 19}
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id: 5188783
{'charpoly_factorization': [[[1, 0, 7, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 27021666517255949, 'p': 23}
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id: 5188784
{'charpoly_factorization': [[[-27, -27, 6, 1], 2]], 'hecke_orbit_code': 27021666517255949, 'p': 29}
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id: 5188785
{'charpoly_factorization': [[[97, 70, 15, 1], 2]], 'hecke_orbit_code': 27021666517255949, 'p': 31}
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id: 5188786
{'charpoly_factorization': [[[729, 0, 887, 0, 98, 0, 1], 1]], 'hecke_orbit_code': 27021666517255949, 'p': 37}
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id: 5188787
{'charpoly_factorization': [[[-3, -41, 6, 1], 2]], 'hecke_orbit_code': 27021666517255949, 'p': 41}
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id: 5188788
{'charpoly_factorization': [[[441, 0, 2516, 0, 127, 0, 1], 1]], 'hecke_orbit_code': 27021666517255949, 'p': 43}
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id: 5188789
{'charpoly_factorization': [[[218089, 0, 13407, 0, 214, 0, 1], 1]], 'hecke_orbit_code': 27021666517255949, 'p': 47}
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id: 5188790
{'charpoly_factorization': [[[11449, 0, 2302, 0, 99, 0, 1], 1]], 'hecke_orbit_code': 27021666517255949, 'p': 53}
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id: 5188791
{'charpoly_factorization': [[[291, -55, -10, 1], 2]], 'hecke_orbit_code': 27021666517255949, 'p': 59}
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id: 5188792
{'charpoly_factorization': [[[-113, -41, 1, 1], 2]], 'hecke_orbit_code': 27021666517255949, 'p': 61}
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id: 5188793
{'charpoly_factorization': [[[14400, 0, 1856, 0, 76, 0, 1], 1]], 'hecke_orbit_code': 27021666517255949, 'p': 67}
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id: 5188794
{'charpoly_factorization': [[[-477, -124, -1, 1], 2]], 'hecke_orbit_code': 27021666517255949, 'p': 71}
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id: 5188795
{'charpoly_factorization': [[[99225, 0, 13331, 0, 236, 0, 1], 1]], 'hecke_orbit_code': 27021666517255949, 'p': 73}
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id: 5188796
{'charpoly_factorization': [[[448, -32, -12, 1], 2]], 'hecke_orbit_code': 27021666517255949, 'p': 79}
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id: 5188797
{'charpoly_factorization': [[[966289, 0, 56302, 0, 459, 0, 1], 1]], 'hecke_orbit_code': 27021666517255949, 'p': 83}
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id: 5188798
{'charpoly_factorization': [[[72, 28, -18, 1], 2]], 'hecke_orbit_code': 27021666517255949, 'p': 89}
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id: 5188799
{'charpoly_factorization': [[[1238769, 0, 74192, 0, 529, 0, 1], 1]], 'hecke_orbit_code': 27021666517255949, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 7, 'label': '1805.2.b.g', 'level': 1805, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 281695999
{'hecke_orbit_code': 27021666517255949, 'n': 1000, 'trace_an': -18}
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id: 281695998
{'hecke_orbit_code': 27021666517255949, 'n': 999, 'trace_an': 42}
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id: 281695997
{'hecke_orbit_code': 27021666517255949, 'n': 998, 'trace_an': 0}
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id: 281695996
{'hecke_orbit_code': 27021666517255949, 'n': 997, 'trace_an': 0}
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id: 281695995
{'hecke_orbit_code': 27021666517255949, 'n': 996, 'trace_an': 214}
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id: 281695994
{'hecke_orbit_code': 27021666517255949, 'n': 995, 'trace_an': 68}
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id: 281695993
{'hecke_orbit_code': 27021666517255949, 'n': 994, 'trace_an': -174}
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id: 281695011
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id: 281695010
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id: 281695009
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id: 281695008
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id: 281695007
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id: 281695006
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id: 281695005
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id: 281695004
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id: 281695003
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id: 281695002
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id: 281695001
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id: 281695000
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