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{'Nk2': 4332, 'analytic_conductor': 8.647798538904665, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [19, 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': [1083, 1, [362, 724], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 81, 'field_disc_factorization': [[3, 4]], 'field_poly': [-1, -3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 18, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, -3, 0, 1]], [5, [-3, 0, 3, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043195562001467, 'hecke_ring_generator_nbound': 2, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1083.2.a.m', 'level': 1083, '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': [3, 19], 'level_radical': 57, 'minimal_twist': '57.2.i.a', 'nf_label': '3.3.81.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-q^{3}+\\beta _{2}q^{4}+(-1+\\beta _{1}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1083.2.a', 'trace_display': [0, -3, -3, -3], 'trace_hash': 828058956649416687, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.824', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '20.930', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '229.710', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [3, 0, -3, 0, -3, 0, -3, 3, 3, 6, -3, 0, 3, -6, 3, -6, -9, 0, 0, 3, 3, 3, 6, -3, -6, -12, -3, -3, 9, -6, 24, -9, 3, -15, -3, 0, 6, 0, -3, -9, -6, 6, -21, -12, -3, 9, -3, 6, -12, -9, 9, -6, -18, 0, 6, 3, 0, -12, -15, -3, -9, -3, -3, -3, -15, -3, -6, -3, -6, -3, -9, 3, -6, -3, 6, 0, 0, 12, 9, 3, 3, 21, -15, 3, -6, -18, -9, -6, 0, 6, 9, 18, -24, -3, 0, 9, -6, 15, -3, 0, -15, 15, 15, 15, 3, 24, -12, 0, 9, -21, -6, 9, -12, 0, 3, -24, 3, -9, 24, 9, 12, 21, 6, 3, 12, -6, 27, 3, 21, 12, 6, 12, 0, 6, 3, 6, -45, -9, 15, -6, 3, -18, -9, -6, -21, -18, 12, 12, -6, 9, -3, 0, -9, 15, -27, 6, -3, -12, 18, -6, -15, 0, -3, 6, -6, 21, 6, -3, -12, -6, 0, 0, 6, 12, 15, 45, 15, 45, -30, 3, -27, 12, 9, -3, -9, 3, -12, 30, 3, 0, -24, 3, -12, -3, 15, 12, -9, 3, -6, 3, 6, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0], [0, 1, 0], [-1, 0, 0], [0, 0, 1], [-1, 1, 0], [0, -1, 0], [-1, -1, 0], [1, -1, 0], [1, 0, 0], [2, -1, 1], [-1, 2, -3], [0, 0, -1], [1, -2, 0], [-2, -1, -1], [1, -1, 0], [-2, 1, -3], [-3, -3, 1], [0, 1, 0], [0, 0, 0], [1, 1, -1], [1, 1, 0], [1, -4, 2], [2, 0, 3], [-1, 1, 0], [-2, -2, 1], [-4, 1, -2], [-1, 0, 0], [-1, -1, -1], [3, 0, -4], [-2, 1, -1], [8, -1, 1], [-3, -3, 1], [1, -2, 3], [-5, -2, -3], [-1, 0, -1], [0, 0, 1], [2, -2, 3], [0, 0, 0], [-1, 2, 0], [-3, 2, -1], [-2, 4, -1], [2, 1, 1], [-7, -4, 2], [-4, -1, 2], [-1, 1, 0], [3, 5, 0], [-1, -4, 7], [2, -1, 3], [-4, 2, 1], [-3, -1, -2], [3, 3, -1], [-2, -2, 1], [-6, 3, 2], [0, -1, 0], [2, -6, 5], [1, 0, 1], [0, 0, 0], [-4, -1, 0], [-5, -1, -1], [-1, -1, 1], [-3, 6, -5], [-1, 9, -1], [-1, -1, 0], [-1, -4, 3], [-5, 3, -2], [-1, 4, -2], [-2, 4, -6], [-1, -2, -4], [-2, 0, -3], [-1, -2, 0], [-3, -4, 2], [1, -1, 0], [-2, -1, -4], [-1, 5, -2], [2, 2, -1], [0, 0, 0], [0, 2, 1], [4, -1, 2], [3, -4, 4], [1, -6, 4], [1, 0, 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[20, -40, 54], [-22, -10, -14], [30, -49, -11], [-8, -3, 22], [-9, -63, 18], [43, -17, -15], [-13, 17, -37], [-6, 9, 19], [-34, 9, 5], [-11, 43, -4], [35, -29, 25], [10, -13, -30], [24, -42, -21], [-12, -30, 50], [-45, 3, -33], [27, -21, 22], [21, 6, 9], [-37, -10, 17], [39, 9, -27], [-36, 6, -9], [-11, 5, 39], [-28, 30, 25], [36, 31, -17]], 'char_orbit_index': 1, 'field_poly': [-1, -3, 0, 1], 'hecke_orbit_code': 54043195562001467, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [2, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-2, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '1083.2.a.m', 'level': 1083, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'ALdims': [14, 15, 19, 9], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [9, 10, 10, 10], 'ALdims_old': [10, 14, 11, 15], 'Nk2': 4332, 'analytic_conductor': 8.647798538904665, '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': [1083, 1, [362, 724], [1, 1]], 'conrey_index': 1, 'cusp_dim': 107, 'dim': 57, 'eis_dim': 39, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33555515, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 6, 6, 8, 8], 'label': '1083.2.a', 'level': 1083, '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': [3, 19], 'level_radical': 57, 'mf_dim': 146, 'mf_new_dim': 57, 'num_forms': 19, 'plus_dim': 23, 'prim_orbit_index': 1, 'relative_dim': 57, 'sturm_bound': 253, 'trace_bound': 3, 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mf_twists_nf • Show schema
Hide schema
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id: 640477
{'conductor': 19, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1083.2.a.m', 'source_level': 1083, 'target_char_orbit': 9, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '57.2.i.a', 'target_level': 57, 'twist_class_label': '57.2.i.a', 'twist_class_level': 57, 'twisting_char_label': '19.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 640478
{'conductor': 57, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1083.2.a.m', 'source_level': 1083, 'target_char_orbit': 21, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '171.2.u.a', 'target_level': 171, 'twist_class_label': '57.2.i.a', 'twist_class_level': 57, 'twisting_char_label': '57.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 640479
{'conductor': 76, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1083.2.a.m', 'source_level': 1083, 'target_char_orbit': 41, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '912.2.bo.b', 'target_level': 912, 'twist_class_label': '57.2.i.a', 'twist_class_level': 57, 'twisting_char_label': '76.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 640480
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1083.2.a.m', 'source_level': 1083, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1083.2.a.m', 'target_level': 1083, 'twist_class_label': '57.2.i.a', 'twist_class_level': 57, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 640481
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1083.2.a.m', 'source_level': 1083, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1083.2.a.n', 'target_level': 1083, 'twist_class_label': '57.2.i.a', 'twist_class_level': 57, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 640482
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1083.2.a.m', 'source_level': 1083, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '3249.2.a.w', 'target_level': 3249, 'twist_class_label': '57.2.i.a', 'twist_class_level': 57, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 640483
{'conductor': 57, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1083.2.a.m', 'source_level': 1083, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '3249.2.a.x', 'target_level': 3249, 'twist_class_label': '57.2.i.a', 'twist_class_level': 57, 'twisting_char_label': '57.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1664700
{'charpoly_factorization': [[[-1, -3, 0, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 2}
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id: 1664701
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 54043195562001467, 'p': 3}
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id: 1664702
{'charpoly_factorization': [[[-3, 0, 3, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 5}
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id: 1664703
{'charpoly_factorization': [[[-1, 0, 3, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 7}
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id: 1664704
{'charpoly_factorization': [[[-37, -18, 3, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 11}
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id: 1664705
{'charpoly_factorization': [[[19, -9, -3, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 13}
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id: 1664706
{'charpoly_factorization': [[[-53, 6, 9, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 17}
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id: 1664707
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 54043195562001467, 'p': 19}
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id: 1664708
{'charpoly_factorization': [[[73, -15, -6, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 23}
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id: 1664709
{'charpoly_factorization': [[[53, -21, -9, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 29}
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id: 1664710
{'charpoly_factorization': [[[-489, 189, -24, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 31}
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id: 1664711
{'charpoly_factorization': [[[51, -9, -6, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 37}
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id: 1664712
{'charpoly_factorization': [[[-51, -27, 6, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 41}
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id: 1664713
{'charpoly_factorization': [[[19, 111, 21, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 43}
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id: 1664714
{'charpoly_factorization': [[[213, -108, 3, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 47}
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id: 1664715
{'charpoly_factorization': [[[-289, 51, 18, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 53}
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id: 1664716
{'charpoly_factorization': [[[89, 66, 15, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 59}
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id: 1664717
{'charpoly_factorization': [[[37, -66, 9, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 61}
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id: 1664718
{'charpoly_factorization': [[[-296, -72, 6, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 67}
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id: 1664719
{'charpoly_factorization': [[[-153, -9, 9, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 71}
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id: 1664720
{'charpoly_factorization': [[[-109, -51, 6, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 73}
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id: 1664721
{'charpoly_factorization': [[[53, -21, -9, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 79}
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id: 1664722
{'charpoly_factorization': [[[-51, 36, 15, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 83}
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id: 1664723
{'charpoly_factorization': [[[-1125, -225, 0, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 89}
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id: 1664724
{'charpoly_factorization': [[[-269, -45, 6, 1], 1]], 'hecke_orbit_code': 54043195562001467, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 13, 'label': '1083.2.a.m', 'level': 1083, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 57044809
{'hecke_orbit_code': 54043195562001467, 'n': 1, 'trace_an': 3}
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id: 57044810
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id: 57045012
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id: 57045013
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id: 57045014
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id: 57045015
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id: 57045016
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id: 57045017
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id: 57045018
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id: 57045019
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id: 57045020
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id: 57045021
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id: 57045022
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id: 57045023
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id: 57045024
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id: 57045025
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id: 57045029
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id: 57045031
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id: 57045033
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id: 57045041
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id: 57045042
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id: 57045043
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id: 57045044
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id: 57045045
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id: 57045046
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id: 57045047
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id: 57045050
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id: 57045051
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id: 57045052
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id: 57045053
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id: 57045054
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id: 57045055
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id: 57045056
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id: 57045057
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id: 57045058
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id: 57045059
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id: 57045060
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id: 57045061
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id: 57045062
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id: 57045063
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id: 57045064
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id: 57045065
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id: 57045066
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