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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_index': 1, 'dim': 4, 'field_disc': 14336, 'field_disc_factorization': [[2, 11], [7, 1]], 'field_poly': [14, 0, -8, 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, [56, 0, -16, 0, 1]], [13, [164, 32, -36, 0, 1]], [17, [-8, -32, -32, 0, 1]]], 'hecke_orbit': 36, 'hecke_orbit_code': 157625986991525026, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '3234.2.a.bj', 'level': 3234, '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': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '3234.2.a.bj', 'nf_label': '4.4.14336.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-q^{3}+q^{4}+\\beta _{2}q^{5}+q^{6}-q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3234.2.a', 'trace_display': [-4, -4, 0, 0], 'trace_hash': 499362351056620600, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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-
mf_newspaces • Show schema
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{'ALdims': [5, 4, 4, 4, 6, 3, 2, 5, 5, 4, 3, 6, 2, 7, 7, 1], '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_index': 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_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': [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, 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128, -8, 56, -24, 0, -12, 2, -104, -72, 72, -2, 0, -32, 172, 24, -24, -64, 0, 0, -8, -48, 60, 12, 104, 8, 0, 48, -216, 0, 176, 16, 56, 0, -160, 24, 56, -160, -4, 72], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
-
id: 48846137
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 157625986991525026, 'source_is_minimal': True, 'source_label': '3234.2.a.bj.1.4', 'source_level': 3234, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 157625986991525026, 'target_is_minimal': True, 'target_label': '3234.2.a.bj.1.4', 'target_level': 3234, 'twist_class_label': '3234.2.a.bj.1.4', 'twist_class_level': 3234, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48846138
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 157625986991525026, 'source_is_minimal': True, 'source_label': '3234.2.a.bj.1.4', 'source_level': 3234, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 472877960907466214, 'target_is_minimal': False, 'target_label': '9702.2.a.eb.1.1', 'target_level': 9702, 'twist_class_label': '3234.2.a.bj.1.4', 'twist_class_level': 3234, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48846139
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 157625986991525026, 'source_is_minimal': True, 'source_label': '3234.2.a.bj.1.4', 'source_level': 3234, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 162129586618895522, 'target_is_minimal': True, 'target_label': '3234.2.a.bk.1.1', 'target_level': 3234, 'twist_class_label': '3234.2.a.bj.1.4', 'twist_class_level': 3234, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48846140
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 157625986991525026, 'source_is_minimal': True, 'source_label': '3234.2.a.bj.1.4', 'source_level': 3234, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 477381560534836710, 'target_is_minimal': False, 'target_label': '9702.2.a.ec.1.4', 'target_level': 9702, 'twist_class_label': '3234.2.a.bj.1.4', 'twist_class_level': 3234, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3074775
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 157625986991525026, 'p': 2}
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id: 3074776
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 157625986991525026, 'p': 3}
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id: 3074777
{'charpoly_factorization': [[[56, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 157625986991525026, 'p': 5}
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id: 3074778
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 157625986991525026, 'p': 7}
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id: 3074779
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 157625986991525026, 'p': 11}
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id: 3074780
{'charpoly_factorization': [[[164, 32, -36, 0, 1], 1]], 'hecke_orbit_code': 157625986991525026, 'p': 13}
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id: 3074781
{'charpoly_factorization': [[[-8, -32, -32, 0, 1], 1]], 'hecke_orbit_code': 157625986991525026, 'p': 17}
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id: 3074782
{'charpoly_factorization': [[[-4, -80, -36, 0, 1], 1]], 'hecke_orbit_code': 157625986991525026, 'p': 19}
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id: 3074783
{'charpoly_factorization': [[[-1168, -608, -56, 8, 1], 1]], 'hecke_orbit_code': 157625986991525026, 'p': 23}
-
id: 3074784
{'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 157625986991525026, 'p': 29}
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id: 3074785
{'charpoly_factorization': [[[-100, 80, 76, 16, 1], 1]], 'hecke_orbit_code': 157625986991525026, 'p': 31}
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id: 3074786
{'charpoly_factorization': [[[-400, 480, -72, -8, 1], 1]], 'hecke_orbit_code': 157625986991525026, 'p': 37}
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id: 3074787
{'charpoly_factorization': [[[-8, 32, -32, 0, 1], 1]], 'hecke_orbit_code': 157625986991525026, 'p': 41}
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id: 3074788
{'charpoly_factorization': [[[-1168, 608, -56, -8, 1], 1]], 'hecke_orbit_code': 157625986991525026, 'p': 43}
-
id: 3074789
{'charpoly_factorization': [[[-4, 48, 60, 16, 1], 1]], 'hecke_orbit_code': 157625986991525026, 'p': 47}
-
id: 3074790
{'charpoly_factorization': [[[112, 224, -72, -8, 1], 1]], 'hecke_orbit_code': 157625986991525026, 'p': 53}
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id: 3074791
{'charpoly_factorization': [[[56, 16, 1], 2]], 'hecke_orbit_code': 157625986991525026, 'p': 59}
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id: 3074792
{'charpoly_factorization': [[[-284, -64, 60, 16, 1], 1]], 'hecke_orbit_code': 157625986991525026, 'p': 61}
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id: 3074793
{'charpoly_factorization': [[[3872, 2112, -144, -16, 1], 1]], 'hecke_orbit_code': 157625986991525026, 'p': 67}
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id: 3074794
{'charpoly_factorization': [[[2624, -256, -144, 0, 1], 1]], 'hecke_orbit_code': 157625986991525026, 'p': 71}
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id: 3074795
{'charpoly_factorization': [[[184, 448, -176, 0, 1], 1]], 'hecke_orbit_code': 157625986991525026, 'p': 73}
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id: 3074796
{'charpoly_factorization': [[[-224, 1344, -80, -16, 1], 1]], 'hecke_orbit_code': 157625986991525026, 'p': 79}
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id: 3074797
{'charpoly_factorization': [[[92, 48, -52, 0, 1], 1]], 'hecke_orbit_code': 157625986991525026, 'p': 83}
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id: 3074798
{'charpoly_factorization': [[[12004, -2368, -196, 16, 1], 1]], 'hecke_orbit_code': 157625986991525026, 'p': 89}
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id: 3074799
{'charpoly_factorization': [[[1988, 672, -36, -16, 1], 1]], 'hecke_orbit_code': 157625986991525026, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 36, 'label': '3234.2.a.bj', 'level': 3234, 'portrait': 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'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 69698161
{'hecke_orbit_code': 157625986991525026, 'n': 1, 'trace_an': 4}
-
id: 69698162
{'hecke_orbit_code': 157625986991525026, 'n': 2, 'trace_an': -4}
-
id: 69698163
{'hecke_orbit_code': 157625986991525026, 'n': 3, 'trace_an': -4}
-
id: 69698164
{'hecke_orbit_code': 157625986991525026, 'n': 4, 'trace_an': 4}
-
id: 69698165
{'hecke_orbit_code': 157625986991525026, 'n': 5, 'trace_an': 0}
-
id: 69698166
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-
id: 69698167
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-
id: 69698168
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-
id: 69698169
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-
id: 69698170
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id: 69698171
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id: 69698172
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id: 69698173
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id: 69698174
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id: 69698175
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id: 69698176
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id: 69698177
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id: 69698178
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id: 69698179
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id: 69698180
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id: 69698181
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id: 69698182
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id: 69698183
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id: 69698184
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id: 69698185
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id: 69698186
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id: 69698187
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id: 69698188
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id: 69698189
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id: 69698190
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id: 69698191
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id: 69698192
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id: 69698193
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id: 69698194
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id: 69698195
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id: 69698196
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id: 69698197
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id: 69698198
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id: 69698199
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id: 69698200
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id: 69698201
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id: 69698202
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id: 69698203
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id: 69698204
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id: 69698205
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id: 69698206
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id: 69698207
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id: 69698208
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id: 69698209
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id: 69698210
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id: 69698211
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id: 69698212
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id: 69698213
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id: 69698214
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id: 69698215
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id: 69698216
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id: 69698217
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id: 69698218
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id: 69698219
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id: 69698220
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id: 69698221
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id: 69698222
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id: 69698223
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id: 69698224
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id: 69698225
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id: 69698226
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id: 69698227
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id: 69698228
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id: 69698229
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id: 69698230
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id: 69698231
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id: 69698232
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id: 69698233
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id: 69698234
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id: 69698235
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id: 69698236
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id: 69698237
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id: 69698238
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id: 69698239
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id: 69698240
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id: 69698241
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id: 69698242
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id: 69698243
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id: 69698244
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id: 69698245
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id: 69698246
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id: 69698247
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id: 69698248
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id: 69698249
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id: 69698250
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id: 69698251
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id: 69698252
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id: 69698253
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id: 69698254
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id: 69698255
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id: 69698256
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id: 69698257
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id: 69698258
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id: 69698259
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id: 69698260
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id: 69698261
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id: 69698262
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id: 69698263
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id: 69698264
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id: 69698265
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id: 69698266
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id: 69698267
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id: 69698268
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id: 69698269
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id: 69698270
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id: 69698271
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id: 69698272
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id: 69698273
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id: 69698274
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id: 69698275
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id: 69698276
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id: 69698277
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id: 69698278
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id: 69698279
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id: 69698280
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id: 69698281
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id: 69698282
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id: 69698283
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id: 69698284
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id: 69698285
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id: 69698286
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id: 69698287
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id: 69698288
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id: 69698289
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id: 69698290
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id: 69698291
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id: 69698292
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id: 69698293
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id: 69698294
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id: 69698295
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id: 69698296
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id: 69698297
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id: 69698300
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id: 69698301
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id: 69698304
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id: 69698307
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id: 69698308
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id: 69698309
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id: 69698310
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id: 69698334
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id: 69698336
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id: 69698337
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