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{'Nk2': 12936, 'analytic_conductor': 25.823620013682078, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, -1], [11, 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': [3234, 1, [1079, 199, 2059], [1, 1, 1]], 'cm_discs': [], 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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': [[5, [0, 1]], [13, [2, 1]], [17, [0, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057594071485602, 'hecke_ring_generator_nbound': 1, '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': False, 'label': '3234.2.a.q', 'level': 3234, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '462.2.a.f', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\\cdots', 'related_objects': ['EllipticCurve/Q/3234/q'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3234.2.a', 'trace_display': [1, -1, 0, 0], 'trace_hash': 833931581226288680, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.982', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.024', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.976', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [1], [-1], [1], [0], [-1], [0], [1], [1], [0], [-1], [-1], [-2], [0], [0], [1], [0], [1], [-2], [0], [0], [-1], [0], [-1], [-5], [-2], [-1], [0], [-6], [0], [-2], [1], [1], [0], [0], [1], [2], [-2], [2], [0], [0], [0], [-4], [-1], [0], [0], [6], [-1], [0], [-5], [0], [-2], [-6], [-1], [0], [0], [2], [-6], [0], [0], [-2], [-2], [0], [1], [0], [1], [-4], [0], [0], [0], [-12], [1], [4], [2], [5], [-2], [0], [2], [8], [0], [1], [0], [-6], [0], [0], [-4], [6], [-1], [6], [0], [0], [0], [2], [6], [0], [-1], [-2], [0], [-1], [-5]], 'ap': [[1], [-1], [0], [0], [-1], [-2], [0], [-2], [0], [-6], [-2], [2], [0], [-4], [6], [-6], [0], [-2], [-4], [-12], [4], [8], [-6], [6], [-2], [-6], [-14], [0], [-10], [-18], [8], [6], [-18], [-14], [6], [8], [16], [20], [-12], [-18], [-12], [-20], [24], [2], [-6], [10], [20], [-2], [-18], [-20], [18], [0], [28], [0], [-18], [24], [0], [-20], [-10], [-6], [-14], [-18], [34], [-6], [10], [18], [-4], [14], [0], [10], [-18], [0], [22], [2], [20], [-6], [6], [16], [6], [40], [12], [-10], [0], [22], [28], [-12], [-18], [-22], [-6], [8], [36], [-24], [-4], [-12], [-4], [36], [24], [6], [10], [2], [8], [18], [-18], [-6], [32], [10], [24], [-24], [-36], [-8], [40], [26], [42], [-20], [20], [-30], [-32], [-6], [30], [0], [-44], [14], [-18], [-12], [-8], [-18], [26], [18], [46], [-26], [-16], [48], [-4], [26], [12], [16], [-36], [-50], [-36], [-42], [10], [-42], [20], [36], [52], [-6], [-2], [-36], [40], [-24], [14], [-30], [44], [24], [-52], [0], [-16], [6], [52], [-18], [-12], [-42], [-16], [12], [18], [6], [-40], [10], [-22], [-48], [-24], [-32], [-48], [62], [-38], [18], [8], [-42], [52], [34], [8], [-42], [-22], [-36], [60], [-24], [-22], [-44], [-34], [-12], [-62], [-24], [20], [-36], [60], [6], [-10], [2], [24], [-36], [30], [52], [16], [4], [-12], [-24], [-62], [-60], [-42], [4], [38], [-60], [-16], [0], [60], [34], [-16], [60], [12], [-42], [-22], [4], [30], [8], [-42], [-10], [-6], [60], [28], [-24], [50], [-26], [-64], [30], [28], [-60], [-50], [-42], [12], [54], [-36], [-26], [-14], [14], [-12], [-60], [10], [48], [-40], [-24], [-22], [72], [-12], [-26], [78], [24], [50], [-38], [-72], [-68], [56], [36], [22], [34], [-6], [-8], [-54], [-6], [8], [-6], [40], [-52], [10], [8], [-20], [46], [-36], [2], [50], [-6], [72], [-40], [24], [-38], [-2], [-24], [-58], [-18], [10], [-12], [-54], [12], [-6], [-30], [-82], [18], [-62], [72], [78], [10], [16], [-18], [8], [84], [-76], [62], [-12], [-68], [36], [38], [-48], [-18], [-54], [-4], [0], [-20], [-48], [48], [-62], [18], [-74], [-70], [-42], [-76], [30], [-38], [20], [-44], [48], [6], [26], [78], [-44], [54], [-88], [12], [26], [36], [-50], [-56], [14], [-54], [78], [-28], [-66], [84], [52], [-52], [-96], [36], [58], [-10], [42], [-8], [-58], [84], [30], [-42], [54], [36], [86], [-12], [-12], [36], [4], [-46], [-42], [8], [26], [-60], [-20], [-48], [42], [-8], [-34], [-60], [24], [40], [24], [28], [-36], [66], [56], [-66], [-38], [42], [-100], [4], [-4], [54], [74], [36], [-60], [64], [12], [14], [-56], [-54], [-52], [-42], [94], [18], [-40], [-30], [102], [100], [-58], [6], [28], [60], [-44], [-30], [-36], [32], [-58], [36], [72], [46], [42], [24], [-18], [70], [36], [-30], [82], [12], [36], [66], [-92], [-24]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 72057594071485602, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3234.2.a.q', 'level': 3234, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [11, -1]], 1, 1], [[[2, 1], [3, -1], [7, 1], [11, 1]], 6, 3], [[[2, -1], [3, 1], [7, 1], [11, 1]], 5, 2], [[[2, 1], [3, 1], [7, -1], [11, -1]], 4, 3], [[[2, -1], [3, -1], [7, 1], [11, 1]], 2, 1], [[[2, -1], [3, 1], [7, -1], [11, -1]], 6, 4], [[[2, 1], [3, -1], [7, -1], [11, -1]], 5, 4], [[[2, -1], [3, -1], [7, 1], [11, -1]], 7, 2], [[[2, -1], [3, -1], [7, -1], [11, 1]], 7, 4], [[[2, 1], [3, -1], [7, 1], [11, -1]], 3, 2], [[[2, -1], [3, 1], [7, -1], [11, 1]], 3, 2], [[[2, 1], [3, 1], [7, 1], [11, 1]], 5, 2], [[[2, 1], [3, 1], [7, -1], [11, 1]], 4, 4], [[[2, -1], [3, 1], [7, 1], [11, -1]], 4, 1], [[[2, 1], [3, 1], [7, 1], [11, -1]], 4, 2], [[[2, 1], [3, -1], [7, -1], [11, 1]], 2, 2]], 'Nk2': 12936, 'analytic_conductor': 25.823620013682078, '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': [3234, 1, [1079, 199, 2059], [1, 1, 1]], 'conrey_indexes': [1], 'cusp_dim': 641, 'dim': 68, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17], 'hecke_orbit_code': 33557666, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '3234.2.a', 'level': 3234, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 704, 'mf_new_dim': 68, 'num_forms': 39, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 68, 'sturm_bound': 1344, 'trace_bound': 17, 'trace_display': [2, -2, 4, 0], 'traces': [68, 2, -2, 68, 4, 0, 0, 2, 68, 4, 0, -2, 0, 0, 0, 68, 12, 2, -4, 4, 0, 2, -4, 0, 52, 16, -2, 0, -12, 0, -24, 2, -2, 0, 0, 68, 56, -4, 36, 4, 12, 0, 12, 0, 4, 0, 12, -2, 0, 62, -8, 0, 60, 0, 0, 0, 44, 64, -8, 0, 24, 16, 0, 68, 72, -4, 40, 12, -4, 0, 4, 2, 24, 68, -6, -4, 0, -20, 52, 4, 68, -8, 16, 0, 56, -20, -8, 2, 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mf_twists_nf • Show schema
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id: 1068357
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '3234.2.a.q', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '462.2.a.f', 'target_level': 462, 'twist_class_label': '462.2.a.f', 'twist_class_level': 462, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1068358
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '3234.2.a.q', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1386.2.a.c', 'target_level': 1386, 'twist_class_label': '462.2.a.f', 'twist_class_level': 462, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1068359
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '3234.2.a.q', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '3234.2.a.q', 'target_level': 3234, 'twist_class_label': '462.2.a.f', 'twist_class_level': 462, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1068360
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '3234.2.a.q', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3696.2.a.i', 'target_level': 3696, 'twist_class_label': '462.2.a.f', 'twist_class_level': 462, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1068361
{'conductor': 77, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '3234.2.a.q', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '5082.2.a.l', 'target_level': 5082, 'twist_class_label': '462.2.a.f', 'twist_class_level': 462, 'twisting_char_label': '77.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1068362
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '3234.2.a.q', 'source_level': 3234, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '9702.2.a.n', 'target_level': 9702, 'twist_class_label': '462.2.a.f', 'twist_class_level': 462, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3074300
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 2}
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id: 3074301
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 3}
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id: 3074302
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 5}
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id: 3074303
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 7}
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id: 3074304
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 11}
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id: 3074305
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 13}
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id: 3074306
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 17}
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id: 3074307
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 19}
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id: 3074308
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 23}
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id: 3074309
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 29}
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id: 3074310
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 31}
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id: 3074311
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 37}
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id: 3074312
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 41}
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id: 3074313
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 43}
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id: 3074314
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 47}
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id: 3074315
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 53}
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id: 3074316
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 59}
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id: 3074317
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 61}
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id: 3074318
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 67}
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id: 3074319
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 71}
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id: 3074320
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 73}
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id: 3074321
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 79}
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id: 3074322
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 83}
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id: 3074323
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 89}
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id: 3074324
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 72057594071485602, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 17, 'label': '3234.2.a.q', 'level': 3234, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 237987000
{'hecke_orbit_code': 72057594071485602, 'n': 1, 'trace_an': 1}
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id: 237987001
{'hecke_orbit_code': 72057594071485602, 'n': 2, 'trace_an': 1}
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id: 237987002
{'hecke_orbit_code': 72057594071485602, 'n': 3, 'trace_an': -1}
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id: 237987983
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id: 237987984
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id: 237987985
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id: 237987986
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id: 237987987
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id: 237987988
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id: 237987989
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id: 237987990
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id: 237987991
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id: 237987992
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id: 237987993
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id: 237987994
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id: 237987995
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id: 237987996
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id: 237987997
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id: 237987998
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id: 237987999
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