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{'Nk2': 6840, 'analytic_conductor': 13.654418745638946, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 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': [1710, 1, [191, 1027, 1351], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, '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': [[7, [2, 1]], [11, [-2, 1]], [13, [0, 1]], [53, [-10, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189372590, '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': '1710.2.a.n', 'level': 1710, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '570.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}-q^{5}-2q^{7}+q^{8}-q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/1710/n'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1710.2.a', 'trace_display': [1, 0, -1, -2], 'trace_hash': 1685043823119915258, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.026', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.014', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.062', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [1], [0], [1], [-1], [0], [-2], [1], [0], [-1], [2], [0], [0], [-2], [0], [1], [2], [0], [1], [-1], [0], [2], [8], [0], [1], [0], [0], [-2], [0], [0], [0], [1], [0], [2], [2], [0], [4], [1], [0], [-1], [8], [0], [-6], [2], [0], [8], [8], [0], [-3], [1], [0], [0], [10], [0], [-2], [-2], [0], [0], [8], [0], [2], [0], [0], [1], [0], [0], [0], [2], [0], [2], [-8], [0], [-2], [4], [0], [1], [-4], [0], [-8], [-1], [0], [8], [16], [0], [-2], [-6], [0], [2], [-16], [0], [0], [8], [0], [8], [-1], [0], [8], [-3], [0], [1]], 'ap': [[1], [0], [-1], [-2], [2], [0], [2], [1], [8], [0], [0], [4], [8], [-6], [8], [10], [8], [2], [0], [-8], [-2], [-8], [16], [-16], [8], [-2], [12], [-20], [2], [2], [16], [6], [-18], [8], [-2], [-8], [-6], [-10], [0], [6], [8], [-6], [-10], [-4], [-10], [-4], [4], [12], [4], [10], [6], [-6], [10], [-6], [-30], [12], [-8], [-4], [-14], [20], [-2], [22], [-24], [14], [18], [-6], [-12], [-16], [8], [-26], [-18], [30], [26], [32], [-28], [-8], [-14], [-6], [12], [-18], [-30], [-26], [-20], [-12], [16], [-12], [-24], [-22], [6], [18], [-20], [30], [20], [30], [-16], [-28], [-20], [20], [28], [14], [-40], [2], [36], [-24], [32], [-14], [44], [-34], [4], [-42], [44], [-46], [42], [-32], [-40], [-16], [46], [-36], [30], [44], [-38], [-16], [18], [36], [40], [38], [26], [-22], [-22], [-26], [-20], [-24], [-8], [38], [10], [18], [42], [52], [22], [-18], [28], [6], [34], [-12], [-46], [-24], [6], [30], [-20], [16], [8], [-30], [-18], [-24], [-44], [-48], [40], [6], [-58], [-16], [32], [18], [-6], [36], [-18], [0], [40], [-22], [10], [18], [60], [46], [6], [-38], [40], [-42], [-48], [22], [-12], [46], [46], [-52], [-8], [58], [-32], [-42], [20], [28], [-50], [-14], [-36], [-36], [28], [-24], [-12], [42], [-50], [-26], [34], [-24], [48], [16], [48], [10], [6], [-66], [32], [36], [-30], [20], [2], [-62], [-54], [-20], [44], [-18], [-22], [-60], [-40], [22], [38], [-32], [-16], [38], [4], [-10], [18], [-20], [-24], [-66], [14], [4], [-16], [-48], [-54], [-40], [14], [-6], [62], [-52], [-4], [28], [-74], [-6], [14], [-14], [-58], [48], [-4], [-36], [-50], [30], [-60], [-50], [22], [-30], [-54], [20], [-30], [14], [-44], [60], [6], [-32], [50], [20], [40], [30], [-36], [-66], [62], [-72], [-74], [-44], [-16], [-70], [-16], [2], [14], [-34], [-24], [-64], [-72], [-42], [-38], [78], [-70], [-14], [40], [-32], [6], [-8], [-26], [12], [40], [66], [-56], [22], [-40], [2], [-26], [82], [0], [44], [-80], [40], [-52], [14], [30], [-26], [16], [-86], [-36], [-8], [60], [58], [-2], [72], [82], [-62], [20], [46], [72], [24], [26], [58], [-44], [76], [24], [-90], [46], [2], [60], [-48], [0], [-24], [78], [14], [30], [-26], [-32], [-74], [-12], [0], [58], [12], [34], [-64], [12], [2], [28], [28], [-6], [-36], [10], [-66], [66], [66], [2], [72], [34], [-30], [-48], [76], [-10], [-12], [66], [-4], [-18], [-10], [-28], [20], [44], [0], [18], [56], [98], [74], [14], [-48], [-60], [-70], [-30], [94], [44], [-24], [-4], [42], [-26], [0], [78], [-78], [18], [-10], [60], [-20], [-16], [68], [-28], [66], [-58], [-62], [88], [82], [-16], [56], [66], [-48], [-40], [-22], [80], [38], [36], [80], [-18], [62], [84], [32], [70], [16], [60], [88], [8], [-16], [-44], [-90], [-60], [-50], [-80], [18]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 58546795189372590, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1710.2.a.n', 'level': 1710, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [19, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [19, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [19, 1]], 2, 1], [[[2, 1], [3, 1], [5, -1], [19, -1]], 1, 1], [[[2, 1], [3, -1], [5, -1], [19, 1]], 1, 1], [[[2, 1], [3, 1], [5, -1], [19, 1]], 2, 1], [[[2, -1], [3, 1], [5, -1], [19, 1]], 1, 1], [[[2, 1], [3, 1], [5, 1], [19, 1]], 1, 1], [[[2, -1], [3, 1], [5, -1], [19, -1]], 2, 1], [[[2, 1], [3, 1], [5, 1], [19, -1]], 2, 1], [[[2, 1], [3, -1], [5, -1], [19, -1]], 3, 3], [[[2, 1], [3, -1], [5, 1], [19, -1]], 3, 3], [[[2, -1], [3, -1], [5, 1], [19, -1]], 2, 2], [[[2, 1], [3, -1], [5, 1], [19, 1]], 2, 2], [[[2, -1], [3, -1], [5, -1], [19, 1]], 3, 3], [[[2, -1], [3, -1], [5, 1], [19, 1]], 3, 2]], 'ALdims': [1, 2, 2, 1, 2, 3, 1, 3, 2, 1, 1, 2, 3, 2, 3, 1], 'Nk2': 6840, 'analytic_conductor': 13.654418745638946, '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': [1710, 1, [191, 1027, 1351], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 345, 'dim': 30, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 53], 'hecke_orbit_code': 33556142, 'hecke_orbit_dims': [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], 'label': '1710.2.a', 'level': 1710, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 376, 'mf_new_dim': 30, 'num_forms': 25, 'plus_dim': 12, 'prim_orbit_index': 1, 'relative_dim': 30, 'sturm_bound': 720, 'trace_bound': 13, 'trace_display': [0, 0, -2, 0], 'traces': [30, 0, 0, 30, -2, 0, 0, 0, 0, 0, 0, 0, 8, -4, 0, 30, 0, 0, 0, -2, 0, 0, -16, 0, 30, -16, 0, 0, -4, 0, -8, 0, 0, -8, 4, 0, -16, -6, 0, 0, -4, 0, -20, 0, 0, -12, 20, 0, 50, 0, 0, 8, 16, 0, -24, -4, 0, -20, 48, 0, -12, -8, 0, 30, 0, 0, 0, 0, 0, 12, 8, 0, -8, 12, 0, 0, 0, 0, 0, -2, 0, 16, 36, 0, 36, -12, 0, 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'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 793839
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1710.2.a.n', 'source_level': 1710, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '570.2.a.c', 'target_level': 570, 'twist_class_label': '570.2.a.c', 'twist_class_level': 570, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 793840
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1710.2.a.n', 'source_level': 1710, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1710.2.a.n', 'target_level': 1710, 'twist_class_label': '570.2.a.c', 'twist_class_level': 570, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 793841
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1710.2.a.n', 'source_level': 1710, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '2850.2.a.ba', 'target_level': 2850, 'twist_class_label': '570.2.a.c', 'twist_class_level': 570, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 793842
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1710.2.a.n', 'source_level': 1710, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2850.2.d.n', 'target_level': 2850, 'twist_class_label': '570.2.a.c', 'twist_class_level': 570, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 793843
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1710.2.a.n', 'source_level': 1710, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '4560.2.a.bd', 'target_level': 4560, 'twist_class_label': '570.2.a.c', 'twist_class_level': 570, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 793844
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1710.2.a.n', 'source_level': 1710, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '8550.2.a.o', 'target_level': 8550, 'twist_class_label': '570.2.a.c', 'twist_class_level': 570, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2147650
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 2}
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id: 2147651
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 3}
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id: 2147652
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 5}
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id: 2147653
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 7}
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id: 2147654
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 11}
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id: 2147655
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 13}
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id: 2147656
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 17}
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id: 2147657
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 19}
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id: 2147658
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 23}
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id: 2147659
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 29}
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id: 2147660
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 31}
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id: 2147661
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 37}
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id: 2147662
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 41}
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id: 2147663
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 43}
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id: 2147664
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 47}
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id: 2147665
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 53}
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id: 2147666
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 59}
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id: 2147667
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 61}
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id: 2147668
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 67}
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id: 2147669
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 71}
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id: 2147670
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 73}
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id: 2147671
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 79}
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id: 2147672
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 83}
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id: 2147673
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 89}
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id: 2147674
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 58546795189372590, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 14, 'label': '1710.2.a.n', 'level': 1710, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 225971000
{'hecke_orbit_code': 58546795189372590, 'n': 1, 'trace_an': 1}
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id: 225971001
{'hecke_orbit_code': 58546795189372590, 'n': 2, 'trace_an': 1}
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id: 225971002
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id: 225971963
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id: 225971964
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id: 225971965
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id: 225971966
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id: 225971967
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id: 225971968
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id: 225971969
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id: 225971970
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id: 225971971
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id: 225971972
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id: 225971973
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id: 225971974
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id: 225971975
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id: 225971976
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id: 225971977
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id: 225971978
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id: 225971979
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id: 225971980
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id: 225971981
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id: 225971982
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id: 225971983
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id: 225971984
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id: 225971985
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id: 225971986
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id: 225971987
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id: 225971988
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id: 225971989
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id: 225971990
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id: 225971991
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id: 225971992
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id: 225971993
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id: 225971994
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id: 225971995
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id: 225971996
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id: 225971997
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id: 225971998
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id: 225971999
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