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mf_newforms • Show schema
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{'Nk2': 6480, 'analytic_conductor': 23.89577355232495, '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': [405, 2, [326, 82], [2, 1]], 'cm_discs': [], 'conrey_index': 244, 'conrey_indexes': [244], 'dim': 16, 'field_disc': 19990255128347287155396854827528013224083456, 'field_disc_factorization': [[2, 28], [3, 8], [1097, 2], [1583, 2], [1940066729, 2]], 'field_poly': [614656, 0, 4069504, 0, 6555196, 0, 2881141, 0, 571975, 0, 59128, 0, 3268, 0, 91, 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, [614656, 0, 4069504, 0, 6555196, 0, 2881141, 0, 571975, 0, 59128, 0, 3268, 0, 91, 0, 1]], [11, [137637673416, 26757336852, -809472312, -158752116, 4235328, 160551, -3975, -45, 1]]], 'hecke_orbit': 6, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 6480, 'analytic_conductor': 23.89577355232495, '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': [405, 2, [326, 82], [2, 1]], 'conrey_index': 244, 'cusp_dim': 150, 'dim': 68, 'eis_dim': 24, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 11], 'hecke_orbit_code': 68786586005, 'hecke_orbit_dims': [4, 8, 8, 16, 16, 16], 'label': '405.4.b', 'level': 405, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 174, 'mf_new_dim': 76, 'num_forms': 6, 'prim_orbit_index': 2, 'relative_dim': 68, 'sturm_bound': 216, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [68, 0, 0, -252, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 868, 0, 0, -8, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 76, 0, 0, -424, 0, 0, 0, 0, 0, 344, 0, 0, 0, 0, 0, -508, 0, 0, -1180, 0, 0, 0, 0, 0, 1182, 0, 0, 0, 0, 0, 1444, 0, 0, -3028, 0, 0, 0, 0, 0, 1356, 0, 0, 0, 0, 0, -2232, 0, 0, 1444, 0, 0, 0, 0, 0, -410, 0, 0, 0, 0, 0, 204, 0, 0, -6340, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 3032, 0, 0, -5408, 0, 0, 0, 0, 0, 3922, 0, 0, 0, 0, 0, 6272, 0, 0, -10440, 0, 0, 0, 0, 0, -4056, 0, 0, 0, 0, 0, 14824, 0, 0, 220, 0, 0, 0, 0, 0, -5568, 0, 0, 0, 0, 0, 2020, 0, 0, 10680, 0, 0, 0, 0, 0, -19836, 0, 0, 0, 0, 0, 19940, 0, 0, 4148, 0, 0, 0, 0, 0, 10158, 0, 0, 0, 0, 0, -9620, 0, 0, 23116, 0, 0, 0, 0, 0, -9580, 0, 0, 0, 0, 0, -17208, 0, 0, -80, 0, 0, 0, 0, 0, 3138, 0, 0, 0, 0, 0, -12668, 0, 0, 6236, 0, 0, 0, 0, 0, -29916, 0, 0, 0, 0, 0, 25160, 0, 0, 3100, 0, 0, 0, 0, 0, 6730, 0, 0, 0, 0, 0, 28444, 0, 0, 3708, 0, 0, 0, 0, 0, -9788, 0, 0, 0, 0, 0, 10692, 0, 0, -11448, 0, 0, 0, 0, 0, -1976, 0, 0, 0, 0, 0, 2800, 0, 0, -36544, 0, 0, 0, 0, 0, -23496, 0, 0, 0, 0, 0, 19128, 0, 0, 3624, 0, 0, 0, 0, 0, -30342, 0, 0, 0, 0, 0, 43212, 0, 0, 13328, 0, 0, 0, 0, 0, -2788, 0, 0, 0, 0, 0, -30744, 0, 0, 20316, 0, 0, 0, 0, 0, -43260, 0, 0, 0, 0, 0, -33836, 0, 0, -26644, 0, 0, 0, 0, 0, 17532, 0, 0, 0, 0, 0, -59008, 0, 0, -6224, 0, 0, 0, 0, 0, -22248, 0, 0, 0, 0, 0, 26628, 0, 0, -23760, 0, 0, 0, 0, 0, 84240, 0, 0, 0, 0, 0, 139324, 0, 0, -1088, 0, 0, 0, 0, 0, 35634, 0, 0, 0, 0, 0, -28432, 0, 0, -30016, 0, 0, 0, 0, 0, 11860, 0, 0, 0, 0, 0, 80772, 0, 0, -94208, 0, 0, 0, 0, 0, -14366, 0, 0, 0, 0, 0, 31360, 0, 0, -63152, 0, 0, 0, 0, 0, -65712, 0, 0, 0, 0, 0, 162684, 0, 0, 67540, 0, 0, 0, 0, 0, 2322, 0, 0, 0, 0, 0, -65892, 0, 0, 94136, 0, 0, 0, 0, 0, -120060, 0, 0, 0, 0, 0, -142480, 0, 0, -42024, 0, 0, 0, 0, 0, 55336, 0, 0, 0, 0, 0, -53892, 0, 0, -99612, 0, 0, 0, 0, 0, -23252, 0, 0, 0, 0, 0, 102560, 0, 0, 2452, 0, 0, 0, 0, 0, 163614, 0, 0, 0, 0, 0, 54864, 0, 0, 133952, 0, 0, 0, 0, 0, 21552, 0, 0, 0, 0, 0, 5216, 0, 0, -116244, 0, 0, 0, 0, 0, 50980, 0, 0, 0, 0, 0, 23032, 0, 0, -164736, 0, 0, 0, 0, 0, -81384, 0, 0, 0, 0, 0, -22536, 0, 0, -80796, 0, 0, 0, 0, 0, -64568, 0, 0, 0, 0, 0, 168772, 0, 0, 203700, 0, 0, 0, 0, 0, 55836, 0, 0, 0, 0, 0, -187672, 0, 0, 141344, 0, 0, 0, 0, 0, -89544, 0, 0, 0, 0, 0, -177512, 0, 0, 25416, 0, 0, 0, 0, 0, 93044, 0, 0, 0, 0, 0, -324312, 0, 0, -62348, 0, 0, 0, 0, 0, -41956, 0, 0, 0, 0, 0, 95680, 0, 0, 101912, 0, 0, 0, 0, 0, 237256, 0, 0, 0, 0, 0, 126232, 0, 0, 122460, 0, 0, 0, 0, 0, -4638, 0, 0, 0, 0, 0, -31856, 0, 0, -151340, 0, 0, 0, 0, 0, -74580, 0, 0, 0, 0, 0, -57276, 0, 0, -111876, 0, 0, 0, 0, 0, -9020, 0, 0, 0, 0, 0, 19588, 0, 0, -95800, 0, 0, 0, 0, 0, -255420, 0, 0, 0, 0, 0, 335264, 0, 0, 171580, 0, 0, 0, 0, 0, 96666, 0, 0, 0, 0, 0, 6036, 0, 0, 418428, 0, 0, 0, 0, 0, -287712, 0, 0, 0, 0, 0, -195300, 0, 0, -71720, 0, 0, 0, 0, 0, 89052, 0, 0, 0, 0, 0, -202532, 0, 0, 196680, 0, 0, 0, 0, 0, -16628, 0, 0, 0, 0, 0, -125248, 0, 0, -163652, 0, 0, 0, 0, 0, 245482, 0, 0, 0, 0, 0, 216864, 0, 0, 324280, 0, 0, 0, 0, 0, 33320, 0, 0, 0, 0, 0, -178704, 0, 0, -298432, 0, 0, 0, 0, 0, -162750, 0, 0, 0, 0, 0, 67960, 0, 0, -257472, 0, 0, 0, 0, 0, -42984, 0, 0, 0, 0, 0, 113088, 0, 0, -53108, 0, 0, 0, 0, 0, -139070, 0, 0, 0, 0, 0, 37376, 0, 0, 512712, 0, 0, 0, 0, 0, 100400, 0, 0, 0, 0, 0, -279764, 0, 0, 309604, 0, 0, 0, 0, 0, -157844, 0, 0, 0, 0, 0, -235212, 0, 0, 6616, 0, 0, 0, 0, 0, 618900, 0, 0, 0, 0, 0, -410548, 0, 0, 109620, 0, 0, 0, 0, 0, 199152, 0, 0, 0, 0, 0, 184160, 0, 0, -392864, 0, 0, 0, 0, 0, 334632, 0, 0, 0, 0, 0, -148140, 0, 0, 132976, 0, 0, 0, 0, 0, 34074, 0, 0, 0, 0, 0, 104416, 0, 0, -468712, 0, 0, 0, 0, 0, -88200, 0, 0, 0, 0, 0, -196680, 0, 0, -451548, 0, 0, 0, 0, 0, 22782, 0, 0, 0, 0, 0, 135720, 0, 0, -516852, 0, 0, 0, 0, 0, -216372, 0, 0, 0, 0, 0, 223124, 0, 0, 56808, 0, 0, 0, 0, 0, 183298, 0, 0, 0, 0, 0, -159632, 0, 0, 950184, 0, 0, 0, 0, 0, -207004], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45112917
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 22518066923438485, 'source_is_minimal': False, 'source_label': '405.4.b.f.244.8', 'source_level': 405, 'target_conrey_index': 244, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 22518066923438485, 'target_is_minimal': False, 'target_label': '405.4.b.f.244.8', 'target_level': 405, 'twist_class_label': '45.4.j.a.4.8', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 45112918
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 244, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 22518066923438485, 'source_is_minimal': False, 'source_label': '405.4.b.f.244.8', 'source_level': 405, 'target_conrey_index': 244, 'target_dim': 16, 'target_embedding_index': 9, 'target_hecke_orbit_code': 18014467296067989, 'target_is_minimal': False, 'target_label': '405.4.b.e.244.9', 'target_level': 405, 'twist_class_label': '45.4.j.a.4.8', 'twist_class_level': 45, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 45112919
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 244, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 22518066923438485, 'source_is_minimal': False, 'source_label': '405.4.b.f.244.8', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 9, 'target_hecke_orbit_code': 166633186279819241, 'target_is_minimal': False, 'target_label': '2025.4.a.bl.1.9', 'target_level': 2025, 'twist_class_label': '45.4.j.a.4.8', 'twist_class_level': 45, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 45112920
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 244, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 22518066923438485, 'source_is_minimal': False, 'source_label': '405.4.b.f.244.8', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 166633186279819241, 'target_is_minimal': False, 'target_label': '2025.4.a.bl.1.8', 'target_level': 2025, 'twist_class_label': '45.4.j.a.4.8', 'twist_class_level': 45, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 45112921
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 22518066923438485, 'source_is_minimal': False, 'source_label': '405.4.b.f.244.8', 'source_level': 405, 'target_conrey_index': 244, 'target_dim': 16, 'target_embedding_index': 9, 'target_hecke_orbit_code': 22518066923438485, 'target_is_minimal': False, 'target_label': '405.4.b.f.244.9', 'target_level': 405, 'twist_class_label': '45.4.j.a.4.8', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 45112922
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 244, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 22518066923438485, 'source_is_minimal': False, 'source_label': '405.4.b.f.244.8', 'source_level': 405, 'target_conrey_index': 4, 'target_dim': 32, 'target_embedding_index': 9, 'target_hecke_orbit_code': 618542399533, 'target_is_minimal': True, 'target_label': '45.4.j.a.4.9', 'target_level': 45, 'twist_class_label': '45.4.j.a.4.8', 'twist_class_level': 45, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 45112923
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 22518066923438485, 'source_is_minimal': False, 'source_label': '405.4.b.f.244.8', 'source_level': 405, 'target_conrey_index': 19, 'target_dim': 32, 'target_embedding_index': 9, 'target_hecke_orbit_code': 618542399623, 'target_is_minimal': False, 'target_label': '135.4.j.a.19.9', 'target_level': 135, 'twist_class_label': '45.4.j.a.4.8', 'twist_class_level': 45, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 45112924
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 244, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 22518066923438485, 'source_is_minimal': False, 'source_label': '405.4.b.f.244.8', 'source_level': 405, 'target_conrey_index': 34, 'target_dim': 32, 'target_embedding_index': 8, 'target_hecke_orbit_code': 618542399533, 'target_is_minimal': True, 'target_label': '45.4.j.a.34.8', 'target_level': 45, 'twist_class_label': '45.4.j.a.4.8', 'twist_class_level': 45, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 45112925
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 22518066923438485, 'source_is_minimal': False, 'source_label': '405.4.b.f.244.8', 'source_level': 405, 'target_conrey_index': 64, 'target_dim': 32, 'target_embedding_index': 8, 'target_hecke_orbit_code': 618542399623, 'target_is_minimal': False, 'target_label': '135.4.j.a.64.8', 'target_level': 135, 'twist_class_label': '45.4.j.a.4.8', 'twist_class_level': 45, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 45112926
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 22518066923438485, 'source_is_minimal': False, 'source_label': '405.4.b.f.244.8', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 162129586652448745, 'target_is_minimal': False, 'target_label': '2025.4.a.bk.1.8', 'target_level': 2025, 'twist_class_label': '45.4.j.a.4.8', 'twist_class_level': 45, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 45112927
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 22518066923438485, 'source_is_minimal': False, 'source_label': '405.4.b.f.244.8', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 9, 'target_hecke_orbit_code': 162129586652448745, 'target_is_minimal': False, 'target_label': '2025.4.a.bk.1.9', 'target_level': 2025, 'twist_class_label': '45.4.j.a.4.8', 'twist_class_level': 45, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 45112928
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 244, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 22518066923438485, 'source_is_minimal': False, 'source_label': '405.4.b.f.244.8', 'source_level': 405, 'target_conrey_index': 244, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 18014467296067989, 'target_is_minimal': False, 'target_label': '405.4.b.e.244.8', 'target_level': 405, 'twist_class_label': '45.4.j.a.4.8', 'twist_class_level': 45, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 45112929
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 22518066923438485, 'source_is_minimal': False, 'source_label': '405.4.b.f.244.8', 'source_level': 405, 'target_conrey_index': 76, 'target_dim': 32, 'target_embedding_index': 9, 'target_hecke_orbit_code': 27021872709239009, 'target_is_minimal': False, 'target_label': '225.4.e.g.76.9', 'target_level': 225, 'twist_class_label': '45.4.j.a.4.8', 'twist_class_level': 45, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 45112930
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 22518066923438485, 'source_is_minimal': False, 'source_label': '405.4.b.f.244.8', 'source_level': 405, 'target_conrey_index': 19, 'target_dim': 32, 'target_embedding_index': 8, 'target_hecke_orbit_code': 618542399623, 'target_is_minimal': False, 'target_label': '135.4.j.a.19.8', 'target_level': 135, 'twist_class_label': '45.4.j.a.4.8', 'twist_class_level': 45, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 45112931
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 244, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 22518066923438485, 'source_is_minimal': False, 'source_label': '405.4.b.f.244.8', 'source_level': 405, 'target_conrey_index': 34, 'target_dim': 32, 'target_embedding_index': 9, 'target_hecke_orbit_code': 618542399533, 'target_is_minimal': True, 'target_label': '45.4.j.a.34.9', 'target_level': 45, 'twist_class_label': '45.4.j.a.4.8', 'twist_class_level': 45, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 45112932
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 22518066923438485, 'source_is_minimal': False, 'source_label': '405.4.b.f.244.8', 'source_level': 405, 'target_conrey_index': 151, 'target_dim': 32, 'target_embedding_index': 8, 'target_hecke_orbit_code': 27021872709239009, 'target_is_minimal': False, 'target_label': '225.4.e.g.151.8', 'target_level': 225, 'twist_class_label': '45.4.j.a.4.8', 'twist_class_level': 45, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 45112933
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 244, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 22518066923438485, 'source_is_minimal': False, 'source_label': '405.4.b.f.244.8', 'source_level': 405, 'target_conrey_index': 4, 'target_dim': 32, 'target_embedding_index': 8, 'target_hecke_orbit_code': 618542399533, 'target_is_minimal': True, 'target_label': '45.4.j.a.4.8', 'target_level': 45, 'twist_class_label': '45.4.j.a.4.8', 'twist_class_level': 45, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 45112934
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 22518066923438485, 'source_is_minimal': False, 'source_label': '405.4.b.f.244.8', 'source_level': 405, 'target_conrey_index': 151, 'target_dim': 32, 'target_embedding_index': 9, 'target_hecke_orbit_code': 27021872709239009, 'target_is_minimal': False, 'target_label': '225.4.e.g.151.9', 'target_level': 225, 'twist_class_label': '45.4.j.a.4.8', 'twist_class_level': 45, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 4}
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id: 45112935
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 22518066923438485, 'source_is_minimal': False, 'source_label': '405.4.b.f.244.8', 'source_level': 405, 'target_conrey_index': 64, 'target_dim': 32, 'target_embedding_index': 9, 'target_hecke_orbit_code': 618542399623, 'target_is_minimal': False, 'target_label': '135.4.j.a.64.9', 'target_level': 135, 'twist_class_label': '45.4.j.a.4.8', 'twist_class_level': 45, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 4}
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id: 45112936
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 22518066923438485, 'source_is_minimal': False, 'source_label': '405.4.b.f.244.8', 'source_level': 405, 'target_conrey_index': 76, 'target_dim': 32, 'target_embedding_index': 8, 'target_hecke_orbit_code': 27021872709239009, 'target_is_minimal': False, 'target_label': '225.4.e.g.76.8', 'target_level': 225, 'twist_class_label': '45.4.j.a.4.8', 'twist_class_level': 45, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 846125
{'charpoly_factorization': [[[614656, 0, 4069504, 0, 6555196, 0, 2881141, 0, 571975, 0, 59128, 0, 3268, 0, 91, 0, 1], 1]], 'hecke_orbit_code': 22518066923438485, 'p': 2}
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id: 846126
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 22518066923438485, 'p': 3}
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id: 846127
{'charpoly_factorization': [[[59604644775390625, -1430511474609375, 152587890625000, 46783447265625, -1390625000000, -36298828125, 11978125000, -2217328125, 14938750, -17738625, 766600, -18585, -5696, 1533, 40, -3, 1], 1]], 'hecke_orbit_code': 22518066923438485, 'p': 5}
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id: 846128
{'charpoly_factorization': [[[5787171908657455716, 0, 390455956286750700, 0, 8888477253929469, 0, 93497855511042, 0, 525057427827, 0, 1665664668, 0, 2969739, 0, 2742, 0, 1], 1]], 'hecke_orbit_code': 22518066923438485, 'p': 7}
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id: 846129
{'charpoly_factorization': [[[137637673416, 26757336852, -809472312, -158752116, 4235328, 160551, -3975, -45, 1], 2]], 'hecke_orbit_code': 22518066923438485, 'p': 11}
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id: 846130
{'charpoly_factorization': [[[5392765913585854116096, 0, 5375807407336423434048, 0, 78699104335949476032, 0, 303501872607601680, 0, 478016713374336, 0, 349151939964, 0, 121119660, 0, 18483, 0, 1], 1]], 'hecke_orbit_code': 22518066923438485, 'p': 13}
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id: 846131
{'charpoly_factorization': [[[189824697239234097550713856, 0, 6016801102534806911237056, 0, 29039721309586795748464, 0, 33539383820058451168, 0, 16572039849099712, 0, 4131909482668, 0, 547814617, 0, 36958, 0, 1], 1]], 'hecke_orbit_code': 22518066923438485, 'p': 17}
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id: 846132
{'charpoly_factorization': [[[11815095359200, 5704507496360, -241429092524, -3427815988, 150069100, 445916, -24341, 2, 1], 2]], 'hecke_orbit_code': 22518066923438485, 'p': 19}
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id: 846133
{'charpoly_factorization': [[[30395079408145900539449998864, 0, 35743585799127712250542383640, 0, 59724865769976850851019801, 0, 17886319277170876464526, 0, 2343990096556801783, 0, 162205058882176, 0, 6186573343, 0, 123130, 0, 1], 1]], 'hecke_orbit_code': 22518066923438485, 'p': 23}
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id: 846134
{'charpoly_factorization': [[[-1696760290826316, 389207524968612, -24156887205807, 280639491210, 2316962691, -17565264, -80745, 258, 1], 2]], 'hecke_orbit_code': 22518066923438485, 'p': 29}
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id: 846135
{'charpoly_factorization': [[[-127965906581806160, 5383914360201224, -53884731790376, -311543511460, 5330728816, 5857382, -137654, -19, 1], 2]], 'hecke_orbit_code': 22518066923438485, 'p': 31}
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id: 846136
{'charpoly_factorization': [[[121112434739443193341560391282458624, 0, 75911769354454156884890006323200, 0, 16671894238130386027126579200, 0, 1723548633275522000486592, 0, 95318152008399860976, 0, 2923068725661888, 0, 47940529104, 0, 369900, 0, 1], 1]], 'hecke_orbit_code': 22518066923438485, 'p': 37}
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id: 846137
{'charpoly_factorization': [[[-50914609409062035, -9102671053428924, -366728419206576, -3271477051440, 19704394530, 65723148, -270816, -288, 1], 2]], 'hecke_orbit_code': 22518066923438485, 'p': 41}
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id: 846138
{'charpoly_factorization': [[[22257180656332601897005433856, 0, 63585283189971808224669968208, 0, 192746979541707099429883824, 0, 157796699761978762460544, 0, 36326817147213144288, 0, 1855032885866763, 0, 37172815443, 0, 322017, 0, 1], 1]], 'hecke_orbit_code': 22518066923438485, 'p': 43}
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id: 846139
{'charpoly_factorization': [[[894668743260665562045534413245444, 0, 10737732075465223833811464222748, 0, 11164986729329897255858903701, 0, 2386176205333604282802358, 0, 198392924137689398419, 0, 7114794582860476, 0, 103054946131, 0, 594514, 0, 1], 1]], 'hecke_orbit_code': 22518066923438485, 'p': 47}
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id: 846140
{'charpoly_factorization': [[[4509989450554150991412053674289004544, 0, 4221235344381612312848655956574208, 0, 585520146985020082701689248768, 0, 33263049871770187735842304, 0, 948096826680659951872, 0, 14763428906730784, 0, 127074664420, 0, 564124, 0, 1], 1]], 'hecke_orbit_code': 22518066923438485, 'p': 53}
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id: 846141
{'charpoly_factorization': [[[-7915694152982015232, 133548560466028992, 4567215170808288, 15464340977472, -76233486096, -336624651, -10707, 1101, 1], 2]], 'hecke_orbit_code': 22518066923438485, 'p': 59}
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id: 846142
{'charpoly_factorization': [[[-49277468581095097322, -1204794883975463200, -6710949081021689, 20182587065930, 151586239273, -61355824, -750167, -10, 1], 2]], 'hecke_orbit_code': 22518066923438485, 'p': 61}
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id: 846143
{'charpoly_factorization': [[[26384371570483011459427665357531657364689, 0, 9703965853186983953421909901833889440, 0, 579843293596744273679649907766772, 0, 13048438371224748195579463404, 0, 133919593006042423515582, 0, 682238458110843504, 0, 1756284593724, 0, 2156100, 0, 1], 1]], 'hecke_orbit_code': 22518066923438485, 'p': 67}
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id: 846144
{'charpoly_factorization': [[[-159808696805820095424, 29482081723807632, 9514852456002840, -19250853383952, -121562934084, 336942828, 324162, -1476, 1], 2]], 'hecke_orbit_code': 22518066923438485, 'p': 71}
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id: 846145
{'charpoly_factorization': [[[43982425471670165623765238848128388558749696, 0, 1653766288501232924544765121254127042560, 0, 24135211779751991916616465750781952, 0, 183263406285452349022974793728, 0, 806205646452459270136320, 0, 2129210402936425920, 0, 3323642992497, 0, 2819826, 0, 1], 1]], 'hecke_orbit_code': 22518066923438485, 'p': 73}
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id: 846146
{'charpoly_factorization': [[[789318036533833109632, 1762270868813547680, -42665226765100928, -476180853712, 405337308784, 44693534, -1142846, -109, 1], 2]], 'hecke_orbit_code': 22518066923438485, 'p': 79}
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id: 846147
{'charpoly_factorization': [[[150680089835152869094708684820549867776, 0, 144147154312910827216435203297335584, 0, 25672204588824053009039354290777, 0, 1256941201860488855929396534, 0, 26992207792956102955639, 0, 282388628108496040, 0, 1370593986895, 0, 2411074, 0, 1], 1]], 'hecke_orbit_code': 22518066923438485, 'p': 83}
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id: 846148
{'charpoly_factorization': [[[157646692916052858000, -9171892537616518200, 101208493454651010, 328435007142033, -908745918615, -2429925534, -266796, 2037, 1], 2]], 'hecke_orbit_code': 22518066923438485, 'p': 89}
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id: 846149
{'charpoly_factorization': [[[1742677131760515651149071813093872439416324096, 0, 211063643353595589862701004217743742016768, 0, 2763112155126042505569804455746677120, 0, 13550170370621824470315749332608, 0, 31837223321382814452858024, 0, 39332894338327456611, 0, 25767039322287, 0, 8277621, 0, 1], 1]], 'hecke_orbit_code': 22518066923438485, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 6, 'label': '405.4.b.f', 'level': 405, 'portrait': 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kPBKPFYHQg2TxmWO4YT5xQ1z2fzLGzfELFpbsTGuZDNcyHbN1l2blZcucOjrpocPdHmoed8njiQ8MzxmFT1eMsrOrz9dktdzXHg+DRHz2hOn09ZWIo5sWg5tGS5+epF/tW7V9kxP8WZ89OcX62x3PFY6UjWeimdfkp3CPuOLHH8TOfKQycWX/nCiZWL9p5c/eLtd74zuv8LH/lmQ+IvdPtrHUGcWOiyY9OQ1Oj3Pvr4kdv/+S99Rt7xkiO3/6O3ntKd/hxrvSbLaw2WOz7LHc1yB1Y6KSudmOW1lIU1OLws2DC/xr/7/mVeuqfByXOznDnf5MyS5tyyZWEp4dRiyvlewvTsiJdf2+dlV4Av6wQq4NxKjbNLmoUVwSCEJDHUfEOzljIzlWCA4wsJ3T7s2uTRrIdYK0D49IeGnZtDltc0WCdF1voQJmCxrHQitm306A0VQlmECWnXPHZuGbE2EBw/o0mNZq4tadUEgQdJIhiEkoUVydlly7nVhCAYgZdw61V9br9asKFdZ3m1zclzAWeW4NxSwrmVhNMrcHjZctNVS/zc96+yebrNiYVZFpbrLK76LHUkK2spq92Y1W7KSs+y2IOFvmBlbch//Mkoeeut8w/aqe83Itjz4PEz+l/cccsIIWa/2VB50dtfW4nygd//Y3ZubnPg2NLPf/mBr/zTu7/8eHDkeI8ziwlvujHhuos7WKtIU0VqBKkBYzTWKpyxAkKkCGE5sjzDv/uQ4Od/8Bw3XBzRqs/SrLdoNwJaDY/ptuLcsmJhVfPlr9f43AMJl+0YcMUlCSurQ67cEfKuNxriRCGw/NlDNc53atTTkGNnFf1+i+suTTnfTdi732PPDsnBM3Dr5dDpQWQ0gY6Yb8KB03Ua9ZhAJUy1BGs9uOXKHodPBezZZTh6JuT5w+7f83aMOHzOMtUKWelGfObLDaxQpGnKHdcPuO0Gy8Kaxw27R+ze6pHEbQbDOnuP1FhYEiyuppxfTTi3YjixIjjXj7h+zzL/+vv6bGjPcPzsNOeW6yyueSx3JKudlE4vptNPWRtYVgewNFSs9GJuumKF2y/v6DRMX3Vi74eZ2Xzjba+86Q1GiM0/8+TDn+KGl73tmw2ZC97+WjL4n336U7zxFbvVBz/59L9+9sDCz9z3+Ak1GISMjOJMH67aucB/+rFFrt/d4NzyDMudBiudGisdj5WuZrUHq52U1W7CSi9hqQMnVwW6PuK2q1f4nldFXLyxyVq/zfmVOosrPksdwUrHSYTVnqE7NHRDy2CUMNeO2bnJAILAs5w67yFkwK6Niou3WrZuHHBuNeTpgy1uvMzSqK/y3KFZWs2IKPKYmzEMR3DlzhEf/uo0l+9ICEPL/JQkToe0agHPHxtR95pcvyfhmSMR55Z9ts0FXLwFdm6OUCrm1BL4nkUIy65NCTMtSW8Y0B94dAceK13FyhosdwwrnZSlTspCB5ZHKTu39fmeO5a47QpNzWtzdqnN0mqNpTXNSlew2jGs9WJWeylrfctyHxZ6inNrCS+9fIFf/LFldm9ps9xpE4YKKwJieWWaiB0///SxS3/ukk2n0jf/re/4ZkNn3e2vFcDPn3kO36/VO2sndz786JF3Pr//zL9/8rkTdAaCfiToh7A4UJzpxdx4yTl+6cdWuO6SOudXZ1hea7DarbHS9Vjtala70OkZ1noJq72Ela7lXEdwpm9B9Hn7Kzq8+aWGS7bUiKIGq50aa32fTk+x2hf0BoJRaIkSS5qCkpbAg3pgmW5bNs7GaG/E4bMRzx4KMEmTN94Sob01Ht87xUVb4POPJLzimoDznSE1rUjSmNkZSGIP7SUsLzd4+Q1dPv/1FhdvgccOhng0uPOlhkQMefZwytFTNbT02TSjmWkK6oHA9wVKQGJwAXUEvYFlrW/oDQxrA8Ny3zJMU3ZtH/Dml3V4++0RmBbLa1OcX6k7vd3VrHbINHfCWgbulQGc7SoWuyk37TnH+37sPFftqrO4Ok2n12Aw8ugNPM6vSGK5A6s3/uzGLbs/dvllO08MB8PhTTdc/c2GUnH7awPw5/ceYGp6k3/m5N73nD974NcOHHhBHD8VytVukgU8hv5IsDYUnB9KzvZiXnrpeX7xh5e54dIaS2vTLK81We0GrPV8VnuatZ6g07Nuye0ldPqG1b7lfE9wtmOYmR7w+pt63HpFwq5Ninbdo9urEXgSUESJxBiBsTAYAcIw0xpx8LTF2Ii7HmsSDupcus3ntmsHxGaNe5+Y5vrLPA4u9OmstnnZtQO+/HjAplnL3uOWf/i2LnuPBWyaldz9hOK2KxUrgy5HTs5y/Z6Ie58dkoQNbr3KZ/eOEcOkz5ceV5AKDp/StBsaLWAwlBgrSI0lTgBp0L6h07c0WzE7toTcfuWA19+YMNescW5liuW1Oqtdd2xWu4JOHzq9hE7fHePOwLIykCz0BEu9hFsuX+Tnf3iR6y6usbg6xVq/Qbcf0B96dPqOSBZXLasDz9x0wzX2Jdde/uNXXXXF7y4snIu277j0mw0p4K8JwKMokWE4fOuD933+0vMr0fseeugRr9XwSAz0Byn9QUJvaOiPLL2RoJOB/Ewn4dYrz/PeH17kxt0+a90pFldbdPo11no+a31Np6foDKDXt3QHCd1+Sn9o6Awsi33BYh/iNOS6y4Zsnk3pDyxvelnIRZsNSSrR0hLFcM/TNU6cr7FlJuG5wzUwDa7YrrjhckNQG/D4wQGLS02uvqhJe3qVrz/jcfNlNZYHa6yuttm82fLIXsX3vabPo3s12zd6LPU7rK7McsOVA77+XMpsfZqrL+1zvtPhkRemqesmN11u2bNzBLLP00cFG2djzi3G3Pu0xyhWSAmpsVy0JeL1L4vo9RVbZww3XAZR1GCl02ClE7DW9+gOFJ2+pNuH7iCl20/pDVK6A8PawLIylJzuCjrDkNv2LPJzP7TKTZe5i6PTq9MdBPQGHr2hpttXdAeK7hDC0AXd11z30rg3FP/Xd3zbWw41m/XPKO2Zbza2vulBZhr3MKb//YunH/vl1cUDs2dOrbFpLiA1AhFbar7FGIUFhDAI4TSolBYpNY8e2MS/eL/mbbet8L2vWeHibRELy20Cv0498GkEHs26pleXtIYeU03NYJTSH6ZsCg3D0NIbBaws1jh10hIlhtMLCUFgAYGvLFoKBkOFwCMZaF5ykWD3VsvObQPCtMcXHlXsOzTDG24MuOHKVX7vCxZfNLho24Bnvq7YNq2Ybw+oqTpR7HG+B82aZvsmwVP7Im7YU+dV1y/xwc8O8b0Wr7vF4gUDvvJIxOcfbvLC0TqXbG1w0ZaUDTMRF8/HXHNRilIGrSxgaQQBG6YDotijN/B57qBHf6QZDBX9kaQ/hP7IOsIYpvSGKf2hpTu0rA2d9Du3amlMdfiJNy7yHbeFXHdJk7NLbTr9Gr0C3Ipe9m8OI4gTS2pguSu4+2uPen4w9cu11qaVV7/yln+62hl+cGaq/r8uwPvDDqPE/lC6dtd7l0/eMyvTlLmpGoORYhiCkgJw4AYQAgduYVDSomSKLyXPHNzAkweaHDxznrfd3uf2q0ZMt9qsdBo0uzXaQ5/+QJcnZqQZhJpRaBlFhii2xLElSd09SnysAakEnhbUfMF0SzDTgs3zhu2bBszPdPji43Dfkx7STPGGGz1eckWPB16IiUZtbnuJoDMccn65ya17DPPTA+o6YJQoFrsxygheskfTaIU8sb/GK2+Y4mXX9XhivwI7xY1X+fzgW1b48lMRdz/aZO+JGjs3KDbP1plpNZhqQT0AT1uUBGNh71FBmgriRBAlEMa43ximDEPDKDQMRoZBaOgPoRvCYl9yvgehGfHa61d46+0d/vbrDEnSZmGpSbdfozf06Q89+hm4ByPBYCQYhpZRaAijlDAy9IcpS2tnePzgF2ZPriT/z9//2y/Xw1H3/fVa+389gK+sdDGJ/sEHHvnqe3fUPr1Ri5Tp9jSIFClBKYmSEiEEQiiEEEhJBm5QyqKVxVOGuidYGtT5yFe385Unu7zimjXe/do1rrm4z9x0g+W1Br1hwGDoZcBW7h4JwlgSJ4IkcUt9bjEqadEaaj406obZVsy2jQMS+hw8HfPRe2scOdlkOqhz81WaW6/t8siBDnc91OaWy2rs3DLgw18VKBHQbsWs9UOMBSVgQ3tAt+djkjpvfcV5PvL5BrvP1XjzLQOieJl7n50jTmu89KqNvPnmLpft6PCVJwY8c7LB00d9ts9KZtuCRiDwPXcRyuziNxaMscRJdrHGljB2F/IogmEEvZFgNRSs9EDoEddfvsa7X7/GK65KmWvXWe026PTq9AYB/ZFHf1iuBINQMhzBILtwRqFhFKWMQkt/ZIkSzcnlLn/wyS9tvPXK6L03vOR1ttft/E6r/c3pJPr/HeArx/4b59Yupnvucz+wuBS/L115ej6aiYCAwE9p1FwtsjthIAqQS5TUSJmilMiWZ4OnLIG21LVgdaRY7szw8XuaPPxcn9uuW+Pdr1vj+t0d5tI6SRIwGNXoDz2GoSaKFXEiSVJJagTGCpcFFZbANzRqCYEf4Xshp5dDPvuY5NApn6OnZlAmYPcWnysvVtx4RRcVLPLs4RbbphtcfQls3rDKSrfNNdskibF88dGAcCCZbibc+dIRn7k35sRCi8sv9Ti7NuL5Ix47Ns1w3cWLPPBMj68/LwgjnysunuWKHQFXbO9x+OwKh07Do/saHDzSpKEFgZY0A0vNAyldUGWtu1iTFKIEolTQDwXdkaAbQ2QSjB1x02Vd3v36Lq+4JmXLbMBoNMVyp0avH9Af+QyGmv5IZSuqYDiSDEMy5k4zYBtGkWWYyb0wEQSeZHWxz6/+zv0bb75+9X1WNpIP/sGnfu/+vV1+89//nb+5AP8/3vdBZnb9GWsv2L+dDk79Sto7N72pDVp5pMbi64R6IMC6EyUEjq2lQCmBVip7NGiV4mmBrw2+Zwk8S8NPma4JeqHHaneGT9zX5qtPj9g0M+Cdd3S4YseI0bDP1RdbdmxWhLGXJYpcml9gkdLg6ZTj5yxHFwRrQ8OnH2hwemkGG3nM1BRb5zS7Nmsu2QZX7+5i5BK/9ZkmKytT3HKF5urdHb7ytEAkHhtnJM1GwiD2kVaClSjt0xkJzq0IrrIN7rixx4NP1Nk673PL1bP8vbcs8buf7/Ho/ib9kcfyWouLt9a5fMuAl+7p8Z2v7HFmZYVPPxCwPAg4ftbj9GkfTwmklAgExjptHBtLmhhm5mKuvWpAGMZcsSPkHXeEbJxSzLYC4rjG2cUag6HPIHSr3LAAtnTgDgWjELcShCmjyEkTJ/Msw8gyjLIsrRVoqXh6f5dnDj40v2XHtl+5/pqt8W/++11/ePbwr7Bl90/+zQP4//2f/oiffcurxA/9LN89E7zw22+/+YnGFTvr9IeBY9BUUZg6AoS0CGlRUiGlkytaCbTKHrXA0ym+FvieoeZZ6rGlEVmmaikzdcEgkvSiJkdPNfnFP5wFkyCShBuvHXDx5ogkAWMN1rokjhQCqQTa89l/wmfvoRrNmqblS+Ybgg1zko2zmq0bFLu2pFy+a41ULPNfP9nm+IlpbtnjccVFKcOkx0PPBkzXPeamLNOtiEbdSSFjJJ2RYqVvWe6kdPp1Xn71Go/tHbDvhGK6XeOlV03zw29d5lc/BU8catIfWtZ6mnMrbTbPN9g4M2LX3Ih/9t0D2o0OzxyF/SclnmdRyiKEAaz7fwtJAhdtTrntmoQ09oiTAGsbjCKPhSWfYehWtFGkCvk2jASjUDCKHGuHkWUUpYShIYwMo9hk7+V3GMaCUSwYJoLQQGwk3aFB1J+bftVVC7/9sydWk0ML//jjx/fO2F1X/sDfHID/+m//EZdfPKP+w2fuevvy2YXf++CDS7Vn99b5xR9Z47IdPv1hjVHoo5RBCoOUFiV1FkhalFKZ3pZ42mlO31OEniSMDEGUEsaWemwIY0MUWdoJhLEhTCBKBKNYEqYBcVpj36EmT++D1FpMdlkpAZ4EX7maj1YAV2+Bdh2mmpKZlmJuWrNxFnZuDtmyYY3YrvBfPznF4SNT3HCJ4pLtkt3bV/na8wnnlqe48WLJTNtQ84cEMsAqQZJKhLUkacRqv8a5ZY8brqjzkj09HniixqYZQaPW4oY9hp94+zK/8inD86dbrPUNaz3F4qpmfrrJTLvOTHuKdiNmQzNm1w0RgZfg6QSlUqRwwYTFXVRxrDi/qIkTRZwoolgRxtljJAljSRhJRpEkjIQLUCNBGFnCyB3XMEqJokzTx+79UQSjWDCKYRAJ+rGgmwj6sSUOI67btcrP/b3z3HbJYmNhYer3PPtBc+z87k8+9uDH0ptvf+e3PsDvuftTzM001MFjS+/orCx88MihI7W5VoMvPr4R7wMp//cPr3HF9ghf1xmMakhpUCq7ZwD3lMXTCk9bvEjie8KdBE8Q+ooodkCPY0uUpM4VSSr3FJLUkqaG1OD0tqEAdy6FtATPg0ALaoGgEUiaDcVUQzIzJdg4m7Br84BWc41PPhhx77OzrC21uXanYtcWj8t2jEjFGl98tEHT02yYUbQaI549DC8c0VyzwzIIFdddFnPtbsvC2ZTFVZ/hqMEbb+5x/zNDDp5WNOuSwG9zzSWGn/uBZe55fshn7plnuWvZtTFltaOZbiummh6thkezbqkFhsA3BDpFKye1ZNZaaS0uYWUEiZEkqSBJBHEiiRJBHEvC2DkvUSyIYksUQRinRLEhqhBHGFfvDtzDGAaxoBdLOjEMohSRDLh+xyr/5gdXeP0NinPLUyyeP1lbjab/oBv6f3cQtf/4Qx/6ePrud3/3tzbAX/WKfTIa2e/tLIf//cTJs7War2hEllq9zmce2kwcSd5xR4d3vKbHdDtBD2poGWQ62+lhT2u8WBNoxchzTBN6ksgXRLFwJydWxAlEsXQOQlLafklqSFPnLqQ2c0qKgiznzijpZI+vBYEvqQWSZl3QblimW4ZNsyEbZnokdo2P3y/53c/PsbFW49qdgp1bPC7aati1ZZVPPmRZWalxxWbFTBtajZhzxyTnVwP8iyGMBRumJNPTcPCoZbVrWFiqcdlFNV5zY4/P3ldjrgWB76PkNNfsFvzIm8/jyfP82QMzvHC6xqZuzMbphKmmolVXNOqSeqAJfAg80No5TFK4YL0AOe7CTg2kqSBJyYAOcWqJEojj1JFCbIjyx9hktmPuymQWZCIYxjlrS3qxIRrFTAVdvufOJd7xqj6vuV6x2m0Sxh5GeJw8eaT20OH4tztmk7ZC/xGOZ741Af7zv/5p3vuB9Aem9L2/tHT+ZPvAuQ2MIoGW0PAkcb3BFx/dxEPP1Ti7usQ//M4+M+2YUZDQGyRo7eNpD097+FFK5Gn8yEmTKHapdMc4wjFRxkpJAnEKaeqcBGNsVm1o8x7ODNwO4C5wFXjaAaQWQKNmaNUTplsJG6aHzM+s8eC+iD+4q87+o9NcNOWxezNs3+yzfRNcvrPLIOnyyN42deWxYUYx3YLpVsjMVILva4RwF9cw9FnpxqwNLJ1+wvlVn52bW7zsivPc9eiA/afbNIIYT/kIMcXubYq/87olbrr8PH9wV4tHnptmua/Z2E6YbiQ0apJ6TRF4zsHwPBerKJW7UQ7lFtfDagwF0JPUZKtbZi0mhiR14E5iiBJb3mPnyowSRyqDTI70EhiNEkwyZK7e48e/a5n/810D6r5Pp9tkFPoYI2gEMVdeMuLZk4+3r9m187++6803+L/+Tz/0uxsueve3HsDPL3XQSv7Qv/mvn3rvf/38cA4zR01Kagq0sLS0wVhJr11nbST5pY9p9h5e5a2vHHDH9T02zYf0unWG2sf3fALfI4w0ge/svRzgcSyJErfsxknmaadk1h8Zc0uMpQS3S1JmzA1auYSJ71lqvqFeS2jVEmbaIVvmu5zrDPi1T3t88bFZVlabXLpBsHOjYNtGn+0bBRdvHaH9NT5yr+bIySZ7NklmWpKpZoqUIacXLYGWSOEchijW7NrY5VFSugPFatdybqXOnu01vvOODn/8FZ9j5wI8HSOEh7FN4kRy48Wr7HpXly8+MeDDX5zl8WNNts0I5pspzVpKzRcEnsD3XKyiFS5wlqKoybC4i8xYnNOSOsDnIE9SJ+kc2CFKXa1LlCePEsEwgV4i6SUwjAzpIGT7fI9X3bDKt79ywJtuMmjRYHWtThgFxLGHMRIlDRtnEv7h2xOMOTwnufR9s9u/XyXx6vu1N/OtA/C1tQ6+7/29T3/u3vfuffa5jdNSIrXAUw5gxggQFoFBCUFf1OhGmo98rcY9z/S44You73rdgDff0mFuOmA4ChiGPoHnESUeUayLQClJFHEqSRJJnAqSRJKmIqsRz7S2ERSqxDrmlsIli1SWLPI9Q+Cn1IOEVj1kfrrPMB7ylWctH/3aFI88N82M73HNNsuWWcmmOZ+tGyTbN0Vcsm2VZ44N+fT9G5hSmg1TgnZT0G7EdAYpn3+oRsu3COGANQw1b70t5HMPu5qYTt9wflWzfWOLt93e55F9PfYe9GkGCUoKB3LTYBQ5rf93XtNhz5bzfOSeLl9/YZoTq3U2twVTNUvDN9S0wfdAK4GSZAky97tzp8pkUs2YcoVLMqA7goA4FcRpBuxUMEoEg0TQT3ExTxTRrA942xtW+N7XdblxT8qmGY/hqEm3FxDGPlHsufOU2bFxKtHKxxrLiaOHNq6Nvv7enbtfZXq97gdarb/6jOdfKcB7vQ7nl7pYy/d/5av3/8e77v7KnIpX2T4nHUMU+g+0AS1AS0sgBX3l0fcUp7oBZx5u8PCzff742h7veM2QO28bMTvtE4UBYeIRxR5xookzoCepIkmzhE1aAtzYjLlNWVPmallASVfHobXB91ICP6YeRLTqQ1KGfPkJyR9+dZrnjk4h4oCLZixbpi3z04oNsz6b5yVbN8Ts3Nzl5GKP3/hMkySss327YLqlaTeh3YgRXkR32GS6ZRFCYC3EiWQ2UCQmoRf79AYpq13F6cU6V13S4ke/bY33/VHA8cUmWsXZhaFJkhqjSLJ5LuDGS7tce0mf54+f5qNfq3PX49Oc6dRpBoqWD03P4muLp9wxVjKTZJXzZQBr3EWXGkFqIUld80icCqLUJYmGqWCYwjCxJEmCiUPmakPe+No13vnaHq+4Jmaq7hHFTVY7Dthx7IgoylybJFXZeXFJtSSR9AYR8cn7Ng5G3n+84qqbks7qmd+3osn09F9d1vOvFODhaMjmDe1vf+KJJ3/1nnu/1o7CHjNtndVVZ8teComy6NS5Fjp19lyQGmpKMFA+g0RzPqzxZw83ufe5AS+9u88/+q4eV+7ssnFa0W5ootgnSjySRFcOYAZwI7MeTScJyg6fLNWvrAtidULgJ3gqojuMWezG/JdP1jh6foYn9k5jjc9cXbBx3jI/JZhrK+amPTbNSTbPJWzbMGBuepUvPml4/IVprt0umGlJWg1Ju2Fo1iOEFxIEGq3c51sLaSoZhprhKCYxgt7Q0OtbVroeC8ttbr28z8uuWuMjd9eoryi0jB0grSZJfaLY9XjOT9e4aXefmy7t8+irznB8UfIHd01zfq3BqeUAX0mansDPZZh0gWdB5LlUwTF5YgWJgdgIwhRGCUTGQppAEiNVyNaZIdfucufj5itT2nVNkjTpZIydJDojIFWstPkK60hIECfOmhyGkl6/z3333jPXH6lfvfrq61dHo+Gn/yox+VcG8PNnDjA3v0nd95WPXbr/wJE2pk+76aFHqQNVbPGUKCy7OAWd2Cx5Y/ETS5AKGkowVIKBDhimHstRnbsen+LBF4Y0g5C/+6YO2+cSLto65Nare2ihaDU0Qji54rKSrlba2gpzkyWOhPPMLQnIhOePSh7bp/nsIy2eP9EiShq0tGJD3TLbtMw0rPPB25rZKc3ctGDzbMLWDUO2bFjl3udCfuuzG9kyrdnQhnZT0W4KWo2EehDy4AHFKNJ4TQcqawVRIqlpxfV7hjz87LQrfBqmrHU9ltYCzi3N8KNvPseppWUefmoDngREjIECQGEk6Q81M60a0+0mL9sz4FXXDnjXqxfZd9LwuUdqPLKvzoEjTRKhCUPFIFYokZc+VAPPLCdgDYmxWGPwRMqUH1Ej5mU39Ll4y4jt8zHvvjOk7kuadY8oatDp+dlKqjPCUYXX7u65fHSPUWYEhJFgGEr6oWBpdZWFL97TfmH/yUt/6D3vUs88dyC97po9f30Afu70o8zPe/6hA197j5LdX5LmPI2am8FnjDuAUlpiaVGpJUkFOoFYWnRq0RISKfCMJUgtNSVopC4bNko9hqnHIK3R66X8x4/MYJOYTRtGXLVzxNxUwjteM2Tnxog4FpnellBhbjL9KaVBSMEn7qnzzOEmQmuOn2lw+lyDWl0xFQimm5Z2zdCuQasumGoo2i3FTEszNw3z0wmb5kZs29gltWt84v42w36Ty7Zb2g1FqyFp1Q2tWoLnRXzx4RrhQOJtBJmBKU4kzbrijS8dct+Thn4o6Q9TugPNWk+zsNzgyotbvOMVXZ54vsHxlRZKGiDO9LJHnCrC2CVm+iNNp+/Tqjdo1kOu3D7ilstHnDzf4djZNbSX8vQRzR9/rYFQrnCNyfmD1gDuZMVRyq5NCe98zZD5dsrluyyb5iBNPMKoRZJ4rHY9klgRpzqLgzIpkkuSAtRZ8F95HiUujzGMBKPIJb9OHDvHhi2bf+n+h+4dbNt22e8++uQT0UtvuPGvB8CfOXAc/+jinqXFw7925uiD0pdbkZn95mmBtRIhjAvsUuE8amlRRpAmFs84H9ZLnQYMtKWWXQiRsUSpIDSSMJVExiM2sNhv87VnDJaUP33EjWzAmuyeZ/Eyi6yoSJRIpUhijTQaT0taAVy8wdL0DI3A0AigEQiadUmr7uTQVEsy04a5qYQNMyFbN/RIWeW//EmNB57dyO45mGlk7N2QtOoJjXpEszGkXm8QKImSmQbHyYE49hgNBcMwpRcq+iNDb2hcy1zT59S5KV5+VchPfPc5fvmPNSfWAoQwWBtjUkuceESxZBS6MtbWUNOs+TTqNRpBg1oQ06pH3HhZhO/F3HxZwrtfO0CrJEsCudr6MVGeSTpjJEJIAk8BPqNQs7yqXd1Omsc82T2RZQyUy5Ac0JmzVSSWsscoEYW9m6Rk50fy2JNfk9s2h7/my+79w9Hwub8KbP4PA/y//MbHOH2mXX/+0MG3Hzm2V1w8N027IYlTBy6tXKAHjsVl4gIelbp7qlzErlPX+5jkEX2aRfV5ZG9E+doIIiNJrCQ1mtgEpJntVb0VWUoBWjj/3VNQq1tq2lJTKYEHgYaab6kHgrovadQljZp2AG8KpluG2XbC3HTIxtk+Wzcu81ufNXz4rk3smFbMtwztpqLVUDQb0KintOoxZ5cNh88G1HxXfgt5pZ9gFGku3mzYPD+iO/IZjmzG4pK1nqZVr9FqTPPu157nyNkFfvvT29BSYzGkJiUxljjRhJFiGLmiqEFN0hhp6oFHPUjp9FyM4XupS5h5KVq6RgkpXTo/byBxpSsCEBnIBZ0sIDTGxTVpKjFGkpgy3klSUQnwRaGzi8dEZK9FBvgssZTZucY6t2fzvKbVmEEMnhFBat6+Y/vVhw8+87HhZdf9j6Xz/4cBvmtL3V9ZXfzplfPnf7q3YuWSDACDVtKBSwk8BFJIB3BhSaWz53RqSYwLNNOUwmVJjM1eV5yX4nlZKee8XFEESlXNDWSZPBdYaWlcUKucs+Apgaet8421oBZIar6kHijqNUWrLmk1LFPNlOlWwmw7ZH5mwM5NyzxyIOQj92xlphawqWVoN4QDd13SrBmatYRWI+SR/fD0vgaXbrCZ7i3T5sNQcfPllst2Dnn0uWkGoWU4SukPdQZyj0atTr02zfe8coWnD5zn4b2bwSqMSV05bGJJYlvUkwxDTWNkqdcUNd8Q+B6BnxJog9YpnnbZ4bwMIj8fzrIt9VwZnLsSYpM7Uia3XytWbA5s4wBcvs6zpdU7GegprEisq/2v+bBxtoFIQ7mw0P3Xa8NlX+r2zwPRNw3gg8FQDofDf/sHH/rwP02Hi/7FWz0CTxQnUwmBQGTuhc2KqFxCQaWWVFm0ca/dgbOYlOJ5mmfcbJ55s5gsE5cnK6y1VDLvYytunqrOEzpKZhlLRaVoy2X/Al9RCxT1QNCoC1p1S7uRMtVMmG6FzE0N2bphlYf3D/m3H9zEiVPTXDJvmG5Au65o1hXNGjRrKfVajO+N6IxcNaSnLFKW3yw1juHixKddjxkkhkFWZz0YpfQGkk5d0egF1IIWF22O+bn3dPg3vyd5aO8mLApjDWlqSNKEKDFEsWIUKYaBpB4qar4k8C2Brwi0wfOc36+VzWp9svORyRQh7HiDbpbatxmJ2KyWJc0An5ry0ZGRzB5FCfD8eUrlkQz8jsiMcefMWMFqTzAKa4gzS/7mbbP/11u+/fXecDj42Xq98ZdO5/+lAR5HHawNf/7g3vv/8ah3urZlQw2bgdklJ9zfMxKkcRo0MRnAMwZPM3Cb/LkRmOxH5+B2Hi1YY10XeVYCWr0zAXAhyruUTqK4mnJnl+ksNvC0JPAlvqeoBW4kQz2wNGuGViOl3YiZakXMtods3bDGw/sG/JvfnWf/iVl2zTqHpVWXNBvSsXfd0qilNGoxcRrxobtbSKXwpEWJ0iY0Nl/CPf7OG1b50uMRvShgkAG8P1T0+opOoKn5AYHX5vIdCf/+B5f5V78r+PpzmzBWkhqXVo8TV2gWRoaw5spdg0BQ8wSB7zKbvrZFxlYrg1ROKjriqQC8THm682czp8WIzG3JAvkcwNnUAVMk18jYnWLFTSeAnVZKJ4xxH5ZmK8BwBMYoFlaO1URwzz+58w2vEUsrnX8xP/uX88b/0gA/cfwo1tqXHdr/VL3ux2ipSNISaFCyrMl+qEoFqcrTwzm48x/s3jNFrUTZfuWALlwdRQ7q/MBPfK8c4HkNRp7Jy9lb67zuROJ50tVv+IJa4GaeNIKUZt2Bu92MmG4P2TDd4ZF9A/7tB2Z5/vg822cEc82KNKlpmjVXv1KvJdSDCM8LOb08g6cESprMliuDzDSVJIliy4wlSWK6ca3ocRyOUnojSX2gqPkevlfD01NcsT3h3/+9Rf7l78DDL2wkNdIBPLXESZoxuSEMDLVIMvJVIcE8DzztJJqrU3Hulcy98ezxAhh3coUsKYQokkMmSw7l2eI0rbxvSslpCnC785ef//wcW1uVR+79YZjwyCOP1/dcdvHL5P/AjPK/FMAXjnySTZuWGh//5CN+OOrQrOdFO6Io5Cn0samAXLmr20jH1Kmu/NgxYOcypHoQMjmSP3+R71a0uuU9nFIU4FZSZo0SuTyBmgeBb6jXLPXA6edGPabdiJhuDpmf6fD4wRH/6v0zPHt8A1unFRuahqm6oFWTNGqKRl1Qr7mLw6X6Ix7eK+iPfGqK7CLLVjVbBppxomnWFLde3eOR59sMYidThmHKYKjoBYrAV/ien+nnaa7cYfiFHz7PT/0mfH3vRmIjiY3JmqXLHszQlwS+ceztlXX0WuV3MplSyjiZZXkvBPI8KWRzgGeATwvnhQuuvCZjbFOQGGNk5i6WvD7Gve+qHCFaXuNjn/iMf+3Nb2j82u9+dvDj73nL/3yAW/sksG166dif/saODYuvPMeIKNaEsSwCiKIGxJY/uHhP5e9l8wSVuDBrVwBtCmCXTcFk2rs4GcIVFAmZgTsrMlIFwLOAVzsm8z1cJ5CfFVgFKfVMXrTqIVOtITOtLk8dCvlX75/h6WMb2Tyt2dAwTNWhWRM064pGXdEo2DulFiS0GiPufdpnrVNjZqZMk+eAMZk2jVPFxjnFa1/S597HTOYLmwrIJTVPUvM0nvbRuo6Uhit3WN77w+f5qd+0fH3/RmKjibMKQFf26pg8iGVRXehridZZEZYUKJ0fG4rvl1+EuVQReVUaZUJo8m7s+EpdPBYrbxXctiJBqyt09jx1Mtb1kro+z5Ww90p/5sjv/PiPfNuPXff4/rVX3XT5/1yAdxfPI+TaT4nkme+dqp0hmppjMLBorYljQayyaNpUao8z58OkedBYYfpMfqSFDKFg77FAcpK5M6TnGblCe8u8gq7U3XnFoFa4+gxt8TzXWFzzDTU/pV5LaNRimrWQVmPE7FSHJw6E/PRvzvPUkU1snPbY2EiZatgM3Bl71yT1wLF/LUhoBBGJCelFAUJJvJzBCw0usgs/84tjj6Y/cuUCUY2ZHOSjlIHvGDzwpauJ1/kGtJZrLrK878fO8c//u+Hr+zYRG02YCqLUZCwuqMWGwLP4nutd1VncoZXLUSgps+OTdeXnj5XCrOLCrMY6E+AuSKhCTFVwV8FelC0bS5o1R9uKS+YmAbja834oOXZymS6Hv/dljz13eDiK/+X/VAZ/5sBhjvV37hLnfuXaKbVALYBmLQbjABVKiVIuY5Wa6t1iUoFROXPbypUuigOVmuoBExWmKLOStrpm5qxdDSrz5Tbr0FFZMKV11hmUFSHl1YM1L810c0y9FjLTHjDV7PHw3oR/8VvzPHlkExumNBvqKVM1SysDd73m7MQc3PUgpeYntJsRe49Z7nmiiS8lnjJZEFfqyHxli1NFYjR33Bhz6SV9Dp+os6FB2ecYpgxGGQtrhdZe0eUkhOXqXfALP7LEv/xNw/3Pb2AU110yLLE0shruwMOBXOerlyl6W6VKixVOSVEBuKiAnHV6pQS5HQd4UaFYlRzjK3IhYSoMntvAuTQJk2zeYiiI8Nl3Yol7Hnz82v/nZ9616x2jvcd17cq/eoCfOHGGLRumL/rw5x7+z+Hq2W+/87olAn+awE9IUul+tFBZGapbgouqPuOCS5MzeR55V5a03B+2hac94ZKsc0sy5p4Et7BIlduCDgxaZaytLb42eJ4h8AyBn1DzE2pBRKMWMjs1YLU34L7n4Bf+cDPPHJpnPgP3dN3SqguaNVF45c55MY69fQfwehASpSmjYc3VvmcrSrWSL0+kuEBTOy2vQ8LIusbdAuAG30/xPY3nSTdVQHoFwBFw3cWCX/ixVf7jHyV8fd8cZzptRk3JdGppJZZaNnEg8Gzm/edOii3YO5cqOcCL75t96SrOC4WYnZR8VS3BPS4pXTVnBexjxkElv5Fp9Tgtu4VGCYSphP4quzYe/fZ49bF0pF79TzorZ49NzW75qwX48/uPc+pM/ZZnnjnw9k/fc5rNf19y+5URnqrhaYMxBixFOj6VglRKUjtel51LEgdqUQk0ROXAjGu+8jauCvOT4MY95OxtM3liK8OBXFmsp002ZiItwB34Gbhn+yyuDnnvhxp8+qENLPVn2DAl2VDLwF1zuruRBZb1QNIIbMbgTnvXggiI+OpTPquxz1zAWD02YnyFSlPX/NAONK+5YcDD+yN6ccBU0bFu8ENXq+5rB3CtLEp6COkSNFi4Yofkl/9Rl889POTnP7CJU0szDKc1076glRgaCQSxG73sKzfQyMsDTSmKIDh/rAbq1QtTiKJXpDg/MCEhq8C21QCyAv518VlZjx5nJbpRCqNUECUpd1zT4eadpzl7evfb/enNHzLp4NhfKYN3ewNazfpln7/rgZ/c98LzaJqcOt8hujT3vV2GzHqZBpbSAVxZ102T6XCb20pWVECdSxBb2lCTrF2VJdmBzplFFrMK3XOVA1xZtHTAdr2drr/T91J8L6HmxwR+TKs+ROsB9z6d8jufb/PZBzYSmTYb24L5mpMlzgLMfXKV3UXG3FX2jtE65MEXphlEmi2N/PtMMngu1SRxoqh5ipddOSQxDuBu/ELmhkRu5Jqnc4tTZUB02UcHNsH8tOB7X92nFZzhA58fct8LcyzEdQY1STuxNLV1INdZHKJsFpfYDOT5MRRl7bgEScnik25dIVXyERVMavNq91BZe141Eso4LS/LyFL4RoB1O9ht3ijRaobDhw9xyVXX/eSuS29/Mo4GBz2/8T8O8NWlk3z5y19lZqa99eSxw6+aaw656qI6l2+dYThKSBKJwKKkwSqKrGUqRaG3c1vMZNOjxuRIrrXJkgljwK5YD1X7StgJaZJn5VzFoBvtZrKa7wzcytViBF6M78fUvIhGY4TvD/jDuzS/+PsbObw4ixfU2NwSzAYp7cDSDKCZddjXA5ftrGUJIVe/kmYrgZMnS92UfuTjK4UvbRFgUvkp+YWd125EiUfdG7F5esjaoMUwFtm4NRcreF6a2XwqszuVA/hY4OoqH7/9FX1uvmqRX/iDER/+4gZWkiaDwKPpSdra1eAEGnxF0Qyh86RPtvLJQqqUCaAqqYyLlSrQGVuBjR2Xmrk2TysXQdVlqwLdWvCVZdqXHD42x10Pe7SCiL49/KrlNbYOB92Dhw6f5NLdO/7HAJ6alDe94daLjh4+8FvP9Q7zkstqbJyzeKpFbzhyRUQZi5ONPVMylyUSY00xsqBI+WZeqrVlgGkRFUkiJqRJDm5bsonMB3GOlwEo6eaqlMydZiBP8LWTJIEfEnhDjp1L+O3PNfnU/XMcOTdDu+ExW4OZIKUV2Cz1noNbZuCWRVKolmnvwHcXTrsZ8skHNQeP16llE7iKdjFKlBdjHKzT4XGiuWIXvOXmHr/zhTn6DU07mz0SRFncoAxay2xsHRWQexVKdavCznnJv/i+AddefIrf/OwsRxamWEnqDDxNUwkaGdB9ad2Fk7lMxeqXH9fcPsTp8zLTadf75Dkx5aUThW9+AUuxyuSZXE2rYM8SS5601AILkea5g4LpluXk0gt821sv/a3LL7/lTb1e98+VKt8Q4EtrCXNTiieeeWz78tlnd+/cdJ44Daj5qasfMBIlE8dQWdIgB7SyEmtMkdolL4qyZbWarbK3FQULlKyQ07Yd04E5sN1jPkrZgdu5Jjl7p3g6cZ07OiEIQnwd0ksjfu3jPh/43GZOL09jVJ3ZKcWsb5nyDY2MuRtF+l5mdSqZNMm88wLcvstehnHEwVMB/ShgJshcnDzplLsSeRbWVmpSYk27qbl4e4QKRvSiFkNfUI8tYQ5wnWaJGuV8bJmXAF8oeFVsmBrwo98+4O13LPCBz3X57U/MsTRsMtQ1alrR0IK6sgSJdWwuHTFpWZY35FnOdUzOBeTKpMMCY7FUCW5RmAimejcl0Kv5DaWc1FnqpK4x5NgSF1/6zO65ObH92mtuPWZtiBDBXw7gJjpLt9faMNVQH99/9lHv0s0pw8gByNcJWqXZqDCnB3MWNtl2fsYKtK0wt81BXVasmTHGFtgLfhNbsQNtAezxIq58YFDqAK5TtErxvZiaH+F7EZ1RxIPPSP7wrjafuH+OUdrC933mfMG0b2j6lkZgafgluGuBJAgkQSZNXGIocyYygPuey3wePWu57/EGUewRNO26ALM4roUGd6tcFCs8T/Pam3t85Mt99p9qMqy50QyhZ/ET8GKDF5ls6q7IZIQsh/tQHs/USBIjaQSaTdND/vn3DLhyZ8iH72rx2N4pFodNRsrH8zQ1LahLCPIBS7m9Kq3LJwgqIB+vWZkszqoyek5Qk46YYZLJxTjQKSNZKSwiFYjIBaE9aRmEmq89+IT38tte+vFOd+0l3V5v8S/N4PX6Btlf3XtLvHz31OVbQ6QEz0uyvkaTyQGTsYgDeN5JYyrlluUjFYCL4oIoapEnrt7yCFpkzuRFStkU5Z5Od9vsgnP3XI5oHdPpxzzwnOCDX2hz1xNTrHRayHqNVl0x7VnavqHhWRq+pe6TsbZj7nogqfmKmi+o+WQVeiYDtyHwnP5WOuTAKTjdqbnESqZvxxMnZf2M64N0IE+MJIo0m9qCy3YMefZEwiD2CLMZ336EA5/KJ+vmiRqQE505JRtm8id19eHvfO2QO1+6ylee7PF7X2zz2N42y70GHenT9zW+EvhSEEhcD6e0aJHHNZk7JrKy3wsw+Lr6lUkmrxBaDvLcYDBQFNGZCsNJIUgkxMYN9cxXq+cOSf7779039e7vkre87IbLvsA3GB70jRk8PBZoGf/3QfdYs+bHeJ4pi+Rl5Xn2s0qAi0rdQqa5c1CbXIdWAF45IGO8MCZNLNUCfSdLyotMydQNxM/dDBmz2Eu493HN5x9o8en7pjjfbSJqNbyWR1vDlOc6eeoemeyAui+yu8xKTjPd7QuCnL1zgOsE30+o+RHWxnz1iYDjZ+vMzwo8aTIdK8pG3wrbFeWnmaQYhh67Nglee8OATz0U0Y89hrGg5rl+VT+bLFWuUqrwqxFyTKa4uywbFYzz2+tByDtfPeT1Ny/zp/f3+NwDDe59psX5ToOh8Bn6Gu0ptBB4UuBJiSdsJrUsClGRhuP24QXIvDi3pvJoMn2dAzzNV538vfy/y7S/EsLFdZQriS8Nzx862RzG9r8/d2jhSmD4lwJ4O/gaRvW4fNc+4th3CZ1KlCwqDEshMcQ4S2fsTf5YPQngLogL1ASOBZQVYLvWNydJRAZwrVN8HVOrxYzClP2n4dgZxUfvnuILj7U5v9oEr4ZuezSUpOW5wUN1z1L3oOY5cNc8N5PQlZnKyl1kf24zkJsC5L7n2tMOnzE8ezQAz8uWeVtJ0YsxFFR1aZ4QS1I3zvmai0Ou2t5n3+kGw5qgkQiC2BIqMmvPZOyduym5BVlqlcJnz6xIY1Q2fcBjFHnU6yE/8MaQt966xpce7/OxLzc4dqbGvtMNorWAJNCMtEZmmxAoQGePOZMX0oUy+F93q7opVNm7BHU6IVtsFQ02Q1SmEET2mtRy+twKH/3C00xPN78RhF8c4AePHhN7z/R/8qv3/dK8GRmuv6TPjZclyGx8cZJIolgWTJzLjCqD5M+hlCh5S1QJ7solP8YItqL5XFLDSRKT7fKQEgRukmqSpiwsw91f0xw+VeeeR+qcXq1z+EwTggDV0NS0oqktTW2ci+C5wfk1z41rcyDO7zK7qwzgZJo7A7eXEniOvd2FFXF0EfYea+DJcXuwkCiU9eBF0JU7KSbra0w8rto15LKNA547kjBIPFqxINTgJ24moKoAXEqBkHKMyUumrJSxmrz+3PVRxqlH6Pm06xF/5w0hr7i2y+nVLl991OfIyYAvPdHgzHKNdOhhpCb2FUJKt1JkXfmSLOMJhWy5EMjHknZUs9S525KLtswoL6vpyoOVWIgNwjMIlfDSPUNuvmTArvmvzf/w9/8fP/lz/+DI+1pTl1wwfHtRgH/yMw8SJen3/tafBM2l7i4u3tjj6l097rhxxFUXRWyZMey+yKKtIImzJTFra3IAluuYvAS3qIB6MrC0lYi9ZO1CiqgUL0iJU8uRk4JnjyjufqTBc0d9XjhapxsGhFEAno9qewRK0FDQ0IZ6xQcOdF6nkZfNurrwIJMlvq/wfZldALbU3l7qMoue0/k1P8aaiHMrktAGaC3xpUVXbLYJAi/OW2rH+x2jxEOg2TAbIdWIfuwx0MI5HXFZMKaVGctAytykBsiHHSGwRpZMXhmM5KWqGD8xCH02z0Ts3BRz4yUhw2jI3z3a4bljPnc/XOPZozWOnKgRJwoChZUKhCSVlWxQkaR4Ea0iJn54Dt5cOtu0fJ1nhLAQWzQpuy+O2DoTc+VFEXfcEHLlTtg6r+n2O82VM49974rQ7/v/xOAf+tgXWV3rqSefeU54qcaaNk8fr/PskTZ3PTpgygvZuS3kmj0hd94c8uobIqwReJ6l0bRYm/1oI0hiN6ekYPhcp7P+YAjhfryQrm4EYRDSEkeWwcgx+rFTkj+6K2AQK556ocahkwFLfZ8w9UH7oDxUW+FLQV1BQ1lqCjfOTGWFR8qxtu8Jl/SogtuT+JksCXwIfDLXxKXMPW3wvSTLiMbUaxHnV1Pu/nqLTi9gZkqgMy8+L/oSL8ZsphIQGkkYKubnFHfeOuJLjw050Wky9KSTKRq8xOLFuWedeewydXYh1VknsvgMY3XlMxzQ/VSRakXiubEPcew5K9WLafoxr7gm4WVXhrztVSMOnJQ8vddjGCk+fHeDowsuXT0YatJI5eWbWJ0DfMIyygE+Buxc0hpEYhHGYjP2rjdTPN8gbMprbo94w00jrt4TsWubpakkMw2PKK7RGzSI4xb988fE7KZr1NF9X0wuvuKNfzGAWwtTU81fW1wZXOfJlLm6QmpNL26yGPos9iKOrkR8/bmYP/5KxPxMgjWGG/ZEvPN1o6xFybJhynD9NRHNWn5RiiIHtv6ci2I4T2cgePoZzXJXUq9JHtnr8Zn7a4xixShWnF3wMUITWzeSF60RgUZLia8ENWmpZcAOlCVQ1tWA68zz1SVz+3lfZgFulfVoioK9fc/g+3mBVlqwt+/HKBXxtScVn3qohfK1s9vG9PeLM3juhadp7ngoRiOPt9425NMPdvnwV6foJzWamQ73ch0e50kZW3QLCSELgLmPkhWtXwG4yUY7aMfknlYkWqOT1AFdpSjlBunP1BJuuzzh1stjrAh5x6sHjGJXK/Jn9wc8utenHgiWuoqnn/PpDmSmkgQvKsqLnSdca+D1L4mYn05d40tqeefrRrzksgRrYMO0YXZaIKzCWJ848un0fEZRwDAMiGKQdK4Laq1fA/ujfyEGP7PYZct8q/3eX/+Ty5e7kRJAQ7sUq0LQlT6x1pjUJzQRC92AhTU3k+TAiZTPfM0NkLGpZWom5ZZrI1p1VxN8wfRk9TLPXIe1vuKxZ326HYXU0s1Esdoxk9DO/ZcapEZKiSeFA7O0BNLgSwcEX7l0bz6jz4FclA0P2jUC5I3HVXA7hs/Kar2cwdPKPSHQMdZGnF7yicIawZTEz9LeKqvKG8tiiuL8jlmnRXe6UUSxx0xLsWM+whcjhknAMBHUtRuCmdeQ5AktJavlrbL4LPcZMkv+mDLJYkxlRmA2+iFJs7yByuayJ8RJiopdLkGrFCkTts+bbMUwXLlzRGSHSG3odASPPatZG0hUoVjGg+oqmWNdN0+zZnnZdTFT0wabOvlalwIl3KqfGo8kcnIqSd08yqgY6KmxVlALeqruL16+8aLva1uz2hVy5hsDfHlpie7a6vsOHjj+6iQc0KoposRmxrs7aT2hiKTEGA0myTRUSmINnXz4jrR0Vy1nv1Z1Ri8E8Kp+y06OEJh8ywWymlOhyiBHyszKykGdpZ0l2catuW9cedRZJ70i23qPAtyurUvhZ+D2NUWJqWPwjMW1wc+yo54XEwQxJ5cMf/ClJmgfT4oywCzkiVjH4FV/OB8S6sDmButEsce77xzyp/cOeeFci37q0UjcprReNuqu6MRReU6gGuzlpYu5FJKVAq/8bopaGK0VXurmpXgZ0JUsk2aubjx7Lkw2OChFC4uwKfMNw996uQGRZjITEPn+GesdstJHFFijMUnuvkmSWBJbQWpUVqjnauaTVBHHHmHsEUZulHacSMI4Qp07+er6zMn3WZP8gz+Xwe+/56tIKf26OcfOeckwsgyiyonJHKGREIyEIpESmwcGeXBQPFrSsd2c7QV+b85uOcDHg5d8G0EphNtHR7i0ciBctaAn3WstyWoqsu7xvJBIU5mDQrYzW9lVXwJcFrIl8G3R0ub7pjI4J8HL2NvXMVJGHF8QLHZrCK0JJGPyRFZ/VuV0V6XDGPAypyNKPObaIbs2D9m3EDJMNaMUglTgpRYvyXR4QuEslSl0NdapkLtUbtJu3nAgKtLIoFNDqiRK59uXq6xYLUVmCb38LqRBZSAX+WeT7UAty7xIDvTcASshUBQ7u8fCfMjt42zVKXz8fLCqyhhcE0aawchjONJ0B3WOnB1ydOEe/0IKYR3Ao8ECQghmW4ZwVrPaM1hMNmnK4ruy72JaVGgEsXBfKLd9bOH9FWWBvOgtm51SpH6FQFKmiN3ngCcsnshAm0mA/HnxXkb2ZSkoRYOtr4QD+xi4pXv0c6DnwWcG7rz7R5tConja6VPfj0mI+dyDdc4t1vGmFH61hqPqoDChSKup63ywTiXpMwrdBNs3397nwWdGdJMaA62pJ4YoS6crWRZE5QVnbqvz/JPyQDPPLOfWYTZTxUKq3GdqI0iUQKcy28XO1fIkGdDLZJopEmyymujLchNCVsFd+tfVhXryZsdyI5msyjbOcsdFFTZqPvswihWjULPW9zi/oljtR3jnjl/w3x8D+OG9dxEEtZc/+fjDNycRTuskMb2hySZEOWvKszhfGseoiRUkmWGfFgVU4htuvlIIkjxZIEDlj8KiobDaVJYydvNNSo2rcmBLt598PgqhCuxiDorC9SNeCOB5wJnrbp3LEpvp7fFact+L8b2IhY7hiUN10D46kye6UqCUZ/vEBMJtNh6hYPKiL1WWJzP2uOHSkLnpIZ3VBoNE0VDgJe63qGx4koqrAMeBvPggOVGpKbK+yQw8ypAagWcEqZKkypAqQZKBvFq8lpdDyBzkFVDnJRMCk4GcrKS54On1tSvVi70o2SgThWX9UhkruNFx7s+TVNIbKJY6gnNLI9oz0ze/8hUvf/lHP/GlB77nu+68MMClCDFp+remW6PrN80MMCbgxIKrh4hTl30SGbCsEUhl0TZrRyJjowphm5LDx35c1UzKr/I8K1aCwxYMPlnCqfPaiKwGPC/1dM3FeaeKkyWq6F4pgZ033zr2zjS3ptDbuSXoGLsEt1dUJ8YIYj57f8CDz7WQgcaXws3fLioIyza6suJvMpuZjUYrWNwtyalRDEcet1495C2v6PHbn20RpQH9VFJLLWGSzVYfq/ozmZwzExfUizE5GC2zbndRgDtVEqWMY3Qps9ES+Y53pgLwCrDleBlFKVPyRboSh00APU/+Vdm8mvl2BJDNe0cgslLomp/ge5rzy4aTC0O2yOT6te7ob8Vx/MAFGfz06bN4fuvOYwfu/r54dI5dW4bs2NJh3xnD40em8WSpv2UmD8rCdlHIk/JLU7RoFcCulplUwJ0DQFZAISlrHqqjDXLmdr2f+WsyBqdowxpj8awbxlPj4HbjFCaYO+vZ9LP2Nk/nDQdJ5R4TEfOxr7ZJbYAqspfVALPsa8ydjTENzkS7npFuOlSaB5sagcc7XzPgQ58LWTMxw7TGMBV4CQWLu4Gmoig6c3bh5NpZKbGoVu8ZQaqzsQ4qA7l2U391KkmVRaWugtFlj2VRmlxalNXqzrKMuWhKKYBu1+NgXUjmAlCTPc9LqKuz3pU01H03/eDZY2s8enCaNFZEdgnM4Pve/Y7X3/Ntd5790sZNW8YB3ghCtKcubdVWd6vmApvnY9YGXR7Yt5FzQ8mc78opq8tvWTFmx6rHvtFNiCzmEOPypAD6RHlmocUnNGcO+upsD6VEqcVVOb65GHaTAVsrUTophR3oOu5dY7LNmLsMMHWFvQMv4olDkoNnaljloaTElwY9WadREeCTLkp+L4YjGVHxq2UWVHns3hpz1SV9HjpQJ1Y+w0RQk+ClFp2ITL5lXThJpsORTi6MfaSosLioSKNqR43rwNLKZODO2tmUrYA7rwWyWZlAzuQUq4eogBuRT8z6BjJl4jbG6hPNL67XNqFZH3H7dWv88qckK90ZznUHHDvT3724Orq0242+tI7Bzy6eRqgGw+gUkVlgeWD5wBcaHDrdQGtXFKOrzCsuBOWqLTT5U2zxbqFLqSzlrF/WVVHzXdpupWQRrntelOB2QaYousV1AW45BvDq8B/XbU8B7CJbWTB3iq9dYsd1BcVYYv74qw2Wl+uIQDvfvXoRTtagTByeqvausuqYN20UcayZn5V892t7PHGoTZjWGCifeuq0eF7OqiQZuPO1wmSeeCUdjhzTu84ft5ULrOyNTI1EmXxFssVzB3CZ/U5TtM3lXf5CyLI5YpLBJ5pWynTfunw+uasyRgrCIhn/vEu2Cn70LWf5nS+EYGGUniMcnSIMy+LCAuD/6Oc+i1KS00urnDi/A6xlGNWwskZTVaJ1Werj9TAuI+YLtS6I4s/GC5CqF02VtQsWH/vskrFllcGVqLB4LlckSo8D3NfZACAv3zowy3Bqi1ek4k32PB27a+U6d144Dh+/q0UofZRUWfZy/EKczGBe+HKvOCkVN8VkDJ6kmiDVfPcbRnzwCwOeOVInVh4DKfFTk7lHApnaynGyrr1MVPMOJvus8X2LqkyeGrcxWN5Hq9N8rIRxUqjo28znsojigk4m9Lg7n9ViOSpMnoP8z1vrq3ixWUWmRYjU7dicaFJd58e+bcB73rRAHCvC9DHSxePUSccBbu1B4NLGH334v138oc90eOHkFIlQBAra2tVz5AVEY0X8FYBe6Nvl7JVfq+PtTuu194tLFFEAZ3Icsqwwdh5k5lObtM43ec20t5oAd56+9/LGZONmhhQtYnlPZ5LdY5QXcfC0phf5oHQmT+xEeezkhTuO8PGBRhNeeNaNUyZ+NE1PcPm2Ec8cjEhNwND41FJXs60zDa6E28jVJZZytjTkQWbJ5FWv2aUsdDHY1L2nDKTSAV5lu1NIU04IyKdrpXl3f2EAlMFlEXhOnO9JcIvif3LdWmH6HEfZe0oal+xLsxUrDDBGOL/eE+w93uDY8hUXv+FdP9q4+6GfHrz+1q0O4KdOn6BWX3rDJbvFT4XpaeJ4A9NNQVO5mo5AjW9HN97CVPJRlaEnQZ0DW0w8F3IcCCWwyz5GVWFFNTZUMwc5ZY20qoBaje9i7CkyL9yB2wG4HArkVeVJlb1V1tfpR6z0DP/tT1osD2uIwHPyRNqxVaUcnPONNefYNIG8Cbtg8CzJkWjaDc2Pf2ePrzzRZjn0iaRmKCV+1kNZjnzIGLxaTy8MeRmtxWTgNpVqz7IRQWcTp/IgPQe7kiJjcCeJ0sJFoZAppQ4v2wlLmZIHnuXzqmwb85aqr/MLJPu3x6tTKbqWtE6ZafeI0iMQ3PxTZ/Y99QBJ/08LBn/iyUeZavp8/sGjfP2Aol3TTHuGeiXdrcdOoF0nL8avRtb9gCr4x2TKmAYXJcjlpEQZH0xTAFsKpCrHj6kKqLWU6EyS6ALgueY2RVDpaVOA29N5/cU4e3sqxvcjPvpVj+cP10F6SCkJ8tLYirVZ7BGf/cgXrSassHnRm1iRKYmR2SZPHtfsHvDtr+jywS/UMDpgKH0CKYqkj5KCuBLQTTK5qDJ54XqNtxMaBcq6VcFY4cCdTwkzkBbzU0QJ8MqjyHIlQo4DPHfEitV7zF0ZX9VhAlPCIkx54aRSuL2dKt1Knk0YjOpcddF5vPNPcvZ0jBKjUqKcXp6lF3mcXJrHpAO2ti11z5bAFiVLTHq7k+AeDyQm/6wsjHdbZ4gLsncZWIqSzYsL7M8DuCwBXiR6coBbNyc7kyKeKt0SrzIcqNTcjr097aZWrXYMf/a1FkudAGqZeyIqwdiLSJT8d1aJqpQqE7ZdbhkaiUllkaKeaSu+7dUDPv3giOV+QKQ0w1Rm9qTI3BtRNmPL0ofIge3KmMmsOFNo8rw3UufOisqey+y1dKOv8+NeBbmQotJ9nw/xLJm31OPVybXZKrNOk4sJAszeyy6IcrWQbrc+6QYn6cStdHU/5qJNTUaiVhxv/cK+g2zZNHvRp7/4yE+cPvICl29Q1D1DOS0q08nyAsAu2LlEeZWt1wF/TLeLMQYfY++xg5UlTsaAPT77u9rh4oa7Mw7ufGeDnLlVhbnXMXg+bqIcOaGVy1wePSY4cLyGIUBIXTTnltWDVfkmKq5GecVXa1FKJhcVeSIKJ6NoN0s1WM0VuyJ2bxmxvK+OTX3H4qmTKbri4pTBXbXQK68RkmURhc3Y3JY+uZHl3MhqbKOMw4CRZNo7Py8lGRXgNiKbpZJr8qpks8WqVoYmdpwExgA+aSNXV4zcutQMhGVNenh+wtz2rT8xs+n2p86efvMxraUlDKPNG6bEnRvrazSVIk7Gu5urgCxfX4CpX0SqTM7SyAFdTWWPvVfpZSydCUEZbJaAdgxONgq46oNX71kMoargroA826/ey0pDc/ZW2WutY5SK+dxDLQ4u1cEv5YlXsS7HLljWj4u4kEwx6wLOPKM5rsWjSHPJfMSbbx3w6AsNMB5J6rS4l+0aLdNxqVQw55gll4Hc2opEqcgVmT2X2aoi87s79mm2YkiRsbrJV1hbEFOZ8Kk+z5hbVFk6lyliHRG6y16MAZxCdtnKhZutTwbipMHZxZSXBPrOxsxw83BkjukcZJ4WTDUVWktGkdutYV2N1FgAMA7ksadjF4C4AHtPMDfjWruUKaIoA50EdsHmSlSacCvgzuYTltt2sB7YuhwQVIx40yYDeeLkiYqpNyIe2q/40681GY58aGi0FHhiXJpMfv/qb74gwJnQ3xOWYdUXjxPNVEvztjtGfOHBAY/s97FNj2Ea4AuKC00Vn18y3njY70Be7ahywWd2gSnH5ql0etxUWDsP6k0WXMpsbLbMgFsGuuMxVClNyrggJ83CUl5HmhOMXmh0MYa1PJZIUsEokqz1IYzzvYJAh1GMF0ZEUYKxbpSXRaDT8UBo/MSMa6gLdeiIygUwyeIXkifyAs8LKSJKUEtV2b1Biaw2pQR3CfK8bNaidTlCWWebMGk1DnSvYGt3V8oFmL4fEUcpX/h6gxdONMDzEFJloMrmhlSCSyHHT6qYPB7ZAStYm6zkoZLJNJVyUVOxC6NIc+XOhDfe3ufpY3XCxCeVHkOj8FMmvkvuhTPB4CI7g+PfBZVfbAajBCovmpMCq0DaUo8XK6oEaSqzDE25ashJgF8obite59/twmQgqkifWAHz4+h2hchxkmJNjLUJ+q67PofnKc4v9UhShcy22NOyOlvOjoF8XT/liwC8DBAmGHyCudcBXE4GmOUOBKU0qViFBWPnAC8npxYSJWNux9i2YGpdPJbPvSy41Com8COeOy740oMNBkMfmh5S5JWDVOzBC2QxK7+zepRscQxtpoHtuJtSTfhUCrCi2KPVinjjbSGfvnfE00cC0D4jI/EzLa6M22C3Kg1ESiEPSCcyiKoEilaU0kU6Ns9XlTzIN9aBXZoy0SZM1U3JzrkpmX0yx/ENpa7gAugaB3WOwckJBdZCqy7Z98LjHDywD2tT9MN7zyGlYDSIMSPDTFuhtFhnY63fQuTFk/KTy025PH3jILOQI0VQOcngTm9Xs5kqy7LmFYWunSt7rqvzwSfAnd29fAptVuCvVeLuOsbzYhKb8tkH6tz3XB1qGqRraPYqJbxjpbHVe/XFi5ys8XnoougbyR2V1MgxoIcjj1ddM+DNLx/w/PEaSeJhhWIoNF5K8Z1EWrL4WDB3ASavDrFXKrMMszmT7rVAGlHo8MIuzhk9X21zO69w2ybOMZNuSkVfF3LlzwM2lSKs8WMnBMy0DbXaGfJ+Il1XHkII/JoFLyHwyjZwN+7WVsaulUw+BvZJJr/AlZmDGMppq6JY0sXEAZkA9phUqabpK/dsx4IS6JW7LjdBzQHtVUCdOyc6m7eodYJSMb4X89Qxyce/2gJ8kB5CqKKLSGUbqcoJdsp/T6kXxQTASoIY0+GmosGtyLZ9yUY/FPvEa6zVvPM1Q+7++ojHDrtJArFRDFKRFXxloEttsfyL6vmpfBfrmm3Hge6IPTvPFiOz/XwqbFlklm32WbYCakMZ5FacuPVuSoX8qiw+Ce78eFXAXJ03brMmHCFgeU0xZWr4vsJai772Yg+pBIMhLK2YctOnys7C+WxnYysfZMeU3ATIS4SPS5TKlNUJWVJKFZElC0rrKQd4MSevCvI8w1psNmUzsOcD8Etwj7F25TFvrM2lilIJnpcQpwn3PFLn2UN18DyQLrj0RZkfKDz7YtW5sAafhJatPCkaICo1ImPVhanEqLzoXxNGHlfvHvGqWxyLD1PH4qHwGRnQqSgDvzSPl7Ja57RykWEnmLFCXhKsskgrUBaX/bQCYQVWgLSilCqVoHI8V1IFezXwrQaY61226gVYLU6rFqkVSbH8dVa4FieCsysSKxTCWnSj5pwIYQVRQxCnstyo1ZSbtjrTXxQXAPlS8SLXXL7x6dhSNJHYqV7RDtTVPWIm6k8Exd47xe7FefPtWMNDuXWJUhPgrgzFL9wTlaJ0BeCZRPF1zMGzgt/7Qosw9qDhZfKEojVNVXcJrjonY0HHGLbHzl8V6GPsVNkcwNgLaXFNM5B8/xsHfPa+JvtPu4svNYpBqlyVYZolfxBOf6fZWI6JlcTmQK8AXBartZOE1rpg0kp3jqwUDuBGlLFSzuSmdMQmA0w5cf7XAXx9/32OpjG9Xd2i0u3tQ7YdvCWKUpApUroAXl97y7dtOnvy8M8c2v849ZrAT133TpIIktSSyCrI8w1ay+j/QiRebO03EWgWmxqNBZZi/HUB8pKtJ4usZKX2QxXsXQG2zIPLcXDns/1KvZ09l6bU3llwGdmET361yVMH667dR2iUcJlLndVgV+tyqjKFykn9hrex1bC0CvOmW2uMA/YYyN00g2jkccNlQ77zNX1+5Q99hkaD0cRCMjQuRpAm0+BpKQuZcFZyByUPeLHud1nlVhVlwWbet7Ul+HNwS5uRkR1fxXLJUpVu5s9xUy4owidLGooh+dn24Kl198QW25r7XsKrXn7zz1x1xWU/ohvi0PR8e/lNK+0+cRoQJxDFglCCTLIvL9w/IoyrB6iOOLngTgzFFVkBNONgvhDIi6WuCpyxOnA7pr0LoFckiapob1Xs9FDZiErZCUmSVwqmBbg9HXPgjOQjX2ng5q849i469/PPF4yNF5aVk1UNNEX1hYVJ/e0Krqq1IeVcQRd4ZsC2EpMqUpVp8VTzPa8d8Kl7Guw95YGMsEIySj00ouijdU5KdqJSUWFKO+6H22zGezYbK/9uMjvf0oK0TrbkIJbWfYY1mT9unLwxF3JPcMeKFwP4hfB9AYAXdeupJU4cqOPYbYAbx5bzywOePbz6pnPdY9N6Za1HHPWZnYoIY81wJJGVeWPVwfRCuA8Qk47KJMCLL5sDfNwSHFuyqjpWjj8fY3FhK8Fl5XnB2LZgcTUBbjeR1WSPzg5UyqByv1slKJmgMgZPVcJnHmiy92CpvaWQzvsuOmjWM1Q1gzmmNSdUih17Pt6APOaJVyZSaSNcbYosU/hRrLny0pC3vrzP4Y8ERKkCoUmFZihcLkNmzeF5hWEpHG3lG1TPtZMmymaMjpMmBZvnd2HLFL8AIx3wTS5TxnxwUbK3nbSLL2AVfgOQmzFwu3sUWcI4LbZfXOulGBOhdIhuNwJC4RF7Ft+LkUI7bZ93Xpuqb+u+TO6PvxjCx6RJxT2pnvTJRMCFmxvGWTt/nbN2DvacuQugqyqTl7pb5UGkrEgTWQ7NVyrF82KOnFX8+ifbjKRHPkGr7JrPVpBqDXRVkpTL1ze8jc+hzNwMW/Yf2rFAUxa14jm4U+OmPQVpwj94e58/uafB4TMaVJxJFY+hEKhcnmR6vAg2J0Cen2ML6PyCy96TNpMo2Iy1c0/cjLG5zT7HSIGw5eqx3kwYt1ELwL/IcSua2HPtndpCcyeJIUoMo8gyGBkGoZujHoeWeGjRmzeERMMhddtjGDYRwvXnRXEZQORfQAqX2SqyXxNfpmr5rJMm2Xt5lduFGLAKbDHB2nkiZRzcppQocpzB9Zi/nevsqv6u3KVjcU9HdCPDb3+6zenzASidWYMykyd2zPcunk8y0qQk+0ZAp7oE540H1R7NPIUvi3vRDCEVaaLZtiHkh7+9xy/8nk8ndlOPrJWERjnbMC0r8kjFBF3Z4ntUg0+VIctaCuZWeWYzD0DzxnORJYDyc5fpb3sB7b3eSr2wJr8QGYzt9ZPFAibb/juMLP0RrPZhqSc4vWKRNYv++vOC4cAQpGu89PIYywzDUCGlGvuQIkjM9VnlW4jKk6o8mbxa3b6Lk5H1OHPnwC5Z21aCTVsElnnja+5/F0yuTcboppAmTo6YilTJGTspHrWK0UHMJz4b8Ft/3CY0npMnQhXypGgqnrDExnR38dvFxNF7cWYatwqroM9T9hZjTJHdLFL42Vizmk740Xf0OXDc5wOfcVocFKmQjIzr3ZQpBYOXBVg5mkrDt2pXOlCXksXajM1FCTJHOtbZh2OJHydjirr0jORMdo5zKccEGZREWTUz82NE0eAuKn/PWogSy+pAcHzNcuUlXW6/rs+2TU30C0cCjpxs8Ny+Jj/9d/rcsFux1qsRJ4I4JtuUczyYvFBQMO6cVM39ks3zHzTejlbVa3ZCothKkJlt0V3dMlCVxU5KmYpUycFcYXJZVgcWurt4dLMGV1bhT77SYDXMwe0A7kmnvbUYlydjq05ul1XwXL3wxxh7IkjPT+BYVV9uyZpqKW2lTlxKlFEYo0lSzZSf8vbXDfjUAw2WewpkDEYR4/T4ZHXh+CX34kzu8kBlUiivT8mDTZuxeAHozCfPZ+iMy1D3Zq6SSmavNGdUY7fJ42fLl1KCQmblF4JhKDi2bLnuylX+2Xd22bMbhKfR117kMevXOHFkhrsfHzHT6nFuZZblNYgSB+6xH54z1CRjT2ipqnsgc9BXZQkV5q7o2LHt66o1HkVgWW0wGA8q8+E0JbjTsQAzDzLzfW50hb29RsJnv1bjkWfrmIr2dk0NuTwZrzcpWrNYfzGP6csXJfGMPStWYXUb7GozhK0GnVaibOmLJ6mHNgkvuybiLS8d8Aef80FFICRWCEKjUUK4LUjyQFOUoJ6UK1R8cJX3SOT2YV47IyuFYtLNeCmZuyJTZIkJUxyzktWBibbFTEJVsVVk8rP/k+4NZzIoPC0ZxIZLWOHNN63R627g8X3z1BpttFKKLfOSH/uOkKPLhp/9wDTbW4JNUzGBr4qKPSnF2FIyCeTqFxrzguECwWRlBsqkNJlkbzEO7NJFyV4ri85GjEmZOSbSZrq6Iklyx0RWJIp07kngxRw+Ifm9z7ZY6Pluv2vpBr0rQbljw8Tqs053VzT3hdh7nUSZXH4rwB7barG6iW6lTlzJ/NFtf7KpmfIDb+nzwLMBh89JEDGgMEhGQlY2kXLnIAe1GLsKS5lU/G+RzczOQ5XNhXueg9naDMjZec3HP+SAtpXnRVNGNlFKZjbLGM5sVSaUcqawabXbdfr6yw2bN3b51AOaL9wX8LbXG3b4Cfqa3T1ssszBw0t8/ktT7D82Q7ANApXQtpbAV2gtJuy9CwdVVY9z8u840NsxzV3KlErlW1FfXWFulQN+AuTFjOzJ52mhvYuETj4OWCUomaIzW9D3Y8LU8BsfbXPfE3XX2ya1095Suq4dUc5fKb5rvrIwfgwmmbyKczEB7vEMZulalHu8V8tnq2W0BluU0yrS1JBIjUo0r7ox4kfe2eXf/oZPmEjXiGokSeaqSCMq382BfGyEg3UtaVS+n8oYs4wNsu76LAnkAsy8SMvFR9aKCwaXtoqLMeYu60nWY6us5Sn27pRutk0tsEw1DZtnBZdvb/D6m3s8+sIaTxyJWI1T9L4TKafPwe9/rs3zh6fZNQN1r4xOPePmENosVZV/oWrt84UAP3biZTkTY9zvrg72GZ/tUQSVgmwe3gXkibRFt7fbNttUJEpl7G+uu7MZ10VwKRM8P+Grj3l86r4GYeRBXRfau2DvIrBdn7mctL+q+tvdL9x0XK3GLGzYQhqUxVdWZYxuxmvFUyORxkmVYo52oqk3Et7+qiF33Tfk7seUsw2RICSx0Axz8sm+ZTFzJGdrmXsstvLdyCzCHNTZ95RuUwQhytcy0+C2IjulcEwvhHUAz2SGsBPkMKHJq2RI/jkVlaAqVaTDSHJ2qcWNuxP+z+/tMpQD6o0Y/dj+GsdONzl2rM3OacFMw+B5opAkkwxUvfomnYRqz+ZkjcZksCEnwC8nWFvIimOR699iP/UsVV4kd3Igl8DWagLoqgS3zsDtezFrfctnH2iw/2zNSRPhSmJFrr0FlQlSdh24i5NAhW2+sfAex7mlSJGvK02u7C26fjhQmb6XUiFNijSaONTs2Rzzllf0eWSvTyfK0q/G6fEIRb4PhCTzxsfKaMszbnHJneKClM7BUFlLW8nmuVTJGTyrIc/Opa0A1uZBrs0kSdFH6qRKlSStcNlYMjwZIxCqWHiK72WMIIoka70AmGHPNo/GjEQFBu170A5g+4zbxrqe7ROpVcUHL64qUabSJxIy4yC2hd99Qd0tygtgjL1FHlSWwK6CWQjGgktZDGa3Y4w9FlDmiZyqiyJdp7wh5fc/V+e3PtnCCu187zH2ptTe8gLfeyKgJJcnVMjhG7D3WCUfE6AumHx9K1s+bdUYg0klRjpfXElDnHpIZfjRtw04dMbjtz7ldkLIQW4QhEKiTD5IIo/gKiAvQO0A6BBWfTvX4ZRAFw7IMv/PMrZ2QC8vghywhVypavbsD2QFK0iKmUVSVoPxsuAqSQWjWKGGrrRbINgUeNSlRN92Zcq+wPDEU6LYwjrws6GVuhzHMFYDIqqZxQm5UZUtlAw9yexlL9/4f5t73Pl/V2625OZuTDomMge3mpAnE3vWq2zvGafBYzw/5tCC5FP3NOn3Pair9exd1HxXVhdRJniKFY31z/Ml9c/jcFtqgIocyE+iGHNPbNZ0UABd5kCXGOm0uJSaOE5pNRPedseAL9xf59DZ7MS5AdWkQjDMHQkBwmTgtiXYbQFqUXjPeWbEKZrcSclT94693Yx3UWjtMaBL63R5FuzaAsiZe5SB22YBp5AO/bbwFd3fTSmxl6SCMM7+vvt0hAh59rAmwUef7/is9jVSCJo1t9tYvq2Hm+0ni7kj1VpsNcloE0Hj+ixlHilXZIkYB3uZms/AXGHxamJHiupg9tw5MWPbbciKLJEyc0wyJtc6IYwNdz3c5CtPZtWC0nMAn2Dv3LbMt5Qeu1gn9HfB5BMB5p8rUyaBXs3cmSx7mDsp2VYkTnebUqYYSSokKpUYoYhDzeuuj3jdy4ac/LxHaJwOzyqhSNCMBK7iMBMkLu3oHvPUjyqWodxRya4VUSZdEKIke0uhtaWcALotG6JNBuLcfCi1unvfSjfwx4rSZnY60A0xSo1AJJVzgCxWuXZDsm2TQAcCvWH+krVBz3zh+kub39EfJiiZs3c5argYKq/KFrHJrTqqwF6nt2V58mU2oWgya1ku++X86RLY+WeVuwyMOyfj+lsV6fe08jxBStepI/2Eex/z+cXfnSK1unROpEII6fYBEmVafpzBq/HDhdn7L5DELJGdM+A6mWLH5IqBsjbICIwoHZVCk0vnjQujSRKD76f89Hu67D+lufdRifFFBln3A2KjGI4JKluRJRfQ5IUXnidasu8rS31tbXYdiax3PwesKM9xETAKF5iKgvVtdlGUGt1mGj6v1XHfKBueWElGGeMaj0ehYmF5lhs3bfzCRTt3r6lt2zf3l5YXD1v4EWtSAl/heRJfK7Qnis2b8hFo+eZnZYq8nHqlioYEO8b242WulWBRlZq6rAysWoDjxVO51i7eexFwV6WKHkvouF7LUyuCX/y9KR54suk25ZGuHQ3poaWgLiGQZJtcjTcXr79nnmwxJGd8GJHK2r2kmmiYruj68rWoXPQTWd0qGVTmAIpJqVf9MwvzcwmBtjzyjM/aUE4sNbKYIl5WHLorVIwBv3q1lu9dqFQ6txOr8musUbhycZdbwE/kBKqxSfY/Y9+kSgyV+YrWCNIUgppiZWXxB/bv27tfn19JnJEv0mw7a5UNrazaMJVG0+ouBtWeu0qSpmh0lRVmp3JiKrp8TJpUTtCY7i50eKm589cXvKtqYJmVwmbPUz/l9z49xZ9+rYmtKRDKoVNohJRj/ZZ6HXu/uD04thfm+nO+zgO368/XWANJNdAcn1+YBZnZ/ECbMbe1pqxRERJpFKnQyGHK21895IUjHu97vyYKkjGj3hqPMKudEXl+PXWWsMVWQGkzWeIuZGsqr/NgU4ARruLQSlFIDpHJ+2KIZuE22XFfHFHYi3mdi0sguWOR158Xx0EKUmtJjSDJNtKqeTDVhHbTurkoMy2VCyo8BbXAgVtChYUnGLkiO1QGclEFecU1GXNQJoBdAjzfzKjiolSkSllcZTLfewLgymQAzkFeBXeKrNSe3P1owO9+vskozabgi9wazLKWwo5p7wum5qtApwr4CbkiJlB+QZXizn7uPa/LaGLXldBaWclsyoqzIlSl88pgpCE1msAzvOfNfb7+tM/dT8qsUE4WDGSsJjSuHa0oIpm0DjPpkl+DKrf4svb13FGR2T9tTeaq5CDNHJOqJkfk/nh+vGyZ+ZTCXSyikh217q5MPm3LdRYl2eco5dot13puK0ZjLHp+2gFcCrczsKh07FTT6VXNPWntjTklY4HYOLDHAVLV3uVGRnJsic6bC0wJ9DEdbsY98En2lmkZYOqYQQg//ztTHDkdYHW5W/KY9s4l0hiwJwDNBcBcQFiM4/kbCPLqUlxdknMQlcVXVT2+vjbFyKziUFZZXCFSgxAaGRku2Rbzsz/Y4ev/V0BvlP0YI4vvlaIZFVmU3BYpQW4lYAQqb1XMHBaVsbCV5KMOKzp8PJisZjLLx/HUfJ79lHn6X2RAz8sA8orFrE+4qEK0YGya7SLn0Ww4V0lfc0UdITRJ1CEc9BlFDQYjSVrxHqs23mQypmDo7O9W58ZVNyUqKwlLmSIm5MnkMPUC2MJmDkl1j5gKc4+5JpXdeTPPW+uYJIVf/USLJ/fVnOctc+YunRNPjMsSNXFRiirYJ5ibwg0oh25eiK/XMfmEc0JFVxbFTNYVM62rNhSOwYug00gH8lRiRHZPM6liDDdcEfPj39XhP390mijNqBaKqDBFEZpci2caoQJyt9A7UBdfXbgNei0Z0DOQln547pGPSzrD+txJVfqVf26Lr1Gs/vlzU/KHtZbByNIPI7xmC69RJ7EJenbHm6k3Wuzb9yQHj3+WS7c3kGr9UqykvaDrMcbUkwxemY+XA0LK/GLIwCyrF8G4ezLpnIyzeFp64dWkztg9CyxrKV9+OOADn2jRGXrOA8w8b4RCCJE5J2XWslrKq8YuzPX6u6waHJ9iVe6vdoEAaUJ/j+F9DOi2EkxVWTubCptLkmoSSDgbMZUKaY2rV0kU7Zrhh94x4PHnA+56SEEjKREJIAWJkYzIY4oS5DbTxxS2pfO8s1gVYzI2zxI2BZuPMXYla8k4k+cxWy5VygshK0OuDhUy5a57RdYz20jr4q0x73nXS7jqyuvo9/voLXNNmq0GS2emeHY0xXJX4qmqNVfq8AuBV14A4FVNNf53qyNwL6DBBeSbG43rbzMB9nTc75bOCpTFvuousJQyQeqEfcc0v/7xNoeWfRc1i4r2zioGvWzWSeFsXCiorMqTMWkyvh+9eHHJXcraiVoUJnR3WWVYKUud9MjtBQqxrCk2lRW5VBHWSZXYsns24R98d49jC5qDpwVWVwWWAOmRZiBnAuRkSSBVSK/M78YdL2Q2mUvYAryTksRUcWArROEWwDz2rdQy2THGF8bJaZNVuFZHxs20BZ5sstaZYaUzTX+g0XkkrDX4nhsX4RyEfAxaqYWrllR5kstJ/XngMAbu/Hnx35a7b43tDDDG3GbCDzeFFlfKuETPumROCXSlUqRM8IOEhY7g59/f5lNfbWA9VabjvwF7l3Xf61PyVXBfKKlTZfRqmWcV8GOsPQH2/L31NSlVHZ4DuhqA5p0/MgvO8udZ8CkMSWrwpHNVOqHkp35ZcW5NQFBBoxVYdMHkVZDngaPNNLk1zvIsHJVMupcOiq3IlArbjsm76j4+FQkjKodvTCJmxGhEYTVrBNpzm46FkSExFGUmulGTTLeChbovvjQ9PX1nFA6oB/nQeDfLb3wvxPJLjYG5ckKr9Qbj2ioDMxW5U3VQKmBXVbBLixJOijiwm1JnZ5lKmbkm7rmrNYkwfObBJl9+tJHVmqgC2OPsXe4aXJ03OJaJnWTuihavnoRJ5i7AfyHPeMLvHZtTmJenmgxMY/UpruzV2WdZE4QQCJElfjJnRUqJsSp7TyKsqzgMtOUNLx3x1pcP+NDnFVEiXNq2OIFg8UisYGRKkNtcAJvsdRZYqixJo8R4sJknb6wYJ4lqQ0Sx6k2QZQF4xv9O1YVLpdtAS2jX4S8wzM7OkKR8yQpvIUkFetuOS/mjj/7xMc/z/5tX23hnv3cIrTWB77bTy8cxVBmZCUCXYLfjryts/Y2kyrhMKVm7sAYLDZ4BW5TgdmxdOicyq/NOhOHT99R53++0ObXk4SwirxJYSkQG7iJrOVkyUL0wc/cId+KqAC5rTsQYqKsEXjybAPoFcyVV7c1EfXjWF5lXGVrptrqW0haOijU20+FO3hmhSE12HrDEoWHHXMJP/b0OnaHkT+9rEqeF6M2kisAaRSJlAXKbaQibgVxlWCBjbbBj2lvmsgWX1awOAxJVkFexVCWNLLAdx1gZA0nhxgtaK9DKzdG8bPdWppvpf9v77P3HXvP6t7k9ekyakAiJECnNuqXdSKn7CZ52SZX8JFcWrHGWGmMrW7xZ3aY7H1cwXmBVXRnMuuBSZu5JCXRTCTArzJ0FlLkl6HkpR5ckH/hkk/2HA2ipwi0pEjtSFtKk6LNkvQU6xtzVe15+sC77N8Hc646NKFl7AugOfmYi4VO6KLKoQhxP30uRgVzYwhsXBbPLgmyMUAjrvPE4tFxxScJ73tbj0Wd9ji1WrmCT63EnQxIpGOUXWx5wZgVZNmfv7EfaTJqYPJWfj3LL0/V2Ur6uj1nWE8Pkiwxb0o2KTlKwOOIbhQlhmDAKEyDbhOq6a65EeXWWFxJWTu+jUbOFNBkjH+tO55h/e0EKKhk8/25iAtjjqeX1wBa5LCn0+Hpwl4FmihKOvbVOWekJfuVDbe55sl5WCRbALqWJL5kYg1weeFUB84VswQsBf9IC/4veqt31Y6lrW5UvuWRxgCpkiqiAv5LplMKxuDA2A7fT40IodxkJQzowvPqGkH/07i7//nckq/kGwTJbaQwlk+f0WfXsjJMfpT53ZGERWQLIrgsy84ylzMl5Qg2sPzhUdcH6eCU7P72hZa0PQXMrl1x6Jb3esAT41i2bmd+4+a5Hlj7+ixftWP2puk4YRbVin5g8a1atxS0OeGUA52Tnffl8vVQpwFTd+7xg9IosERWbUKUZ6DM5oqrPnQYfCctvfLLF+z/RoldkK8d1txBuzHDunIwVVVVYZTI5NcbUFwSz2xjpxVjnG4G7Onwzd1FsBfDF36kWYGVNybIy8i1nbiMFwkh3TG02TFXILLA2pEZBaml5MT/yjh7nlhX/9UNthmOOSiZZpMUaTVK4JNm5F67Qyhq3ywa4mEEV8WqWerfjAM89cmfEiHWH6oLu0uRFb3Dz0y0kBjojy4Z5ybPHTvziD7z7HXedPbtQAnzDpi289Yf/xWAUe0dv3aP4u68/x4bZFv1hQJIot/Numu2OayTjWTVROVFinNXXBQ7jAC8TO/lzUwBcVXS3FK7PUoqSuWWR5MnsQJmANrxw0OeP7mrQjbXT3VRsQakcwMmkSXG3Y9pbVQD9YtnL4iIW69+n8t/8RZBepOvt5Ekt661NVodRXgSls5IPChJSlrUaJq/3lhhhnB1nVMbszjqUxpLEhlYt4V1v6POlh3yeOiCyGDIHN7m3l2ny7LcU7E4WeJIxeNYJlAPSVJocoAS7nTiOL3rBu48amzJgILEQG8EwFXRCmK6v8Z6/lfC2Vx46+vQDPz64/hW/XgIc4Ae/53toNRt8+I8/x6e+9kl+/B1raNVkMAyIE02qVMHo1aUwB3kxfiz7Kbb4AbZcisY0uCm3e14nUSYYXJkJcJdp+Fx3ay/lmSMeP/4LMzx7MMB6spQlBYPLii1oi0E+kzs1XMgavJBMGUvsCCqvykjpLyRX7PjTcV980i7ESZKMSfOgM5csrmnAeeLCgrAWY3PguwlZwjiAp1h3XiLLdZfG/NpPrfEj/0Hw7KEsOJH5lxHlcpIxORmL5uh0nT22YljbivNYMrmcuPirYVvp/ZcXdVEmnL+2gsRAZASDFHqhhWTAd955mh/9rtupz34XJu0DEwC/7do56vUWnXMNvvaAx5efjrlp95DAd35iklqkcYkEm83Js3ntQzHTOtfnduzMiuzSlWJSokyy+AU0t3hxcCuRZOA29Kzkv3+yyVN7A1I1kczJ6k1AosVEM4NY75wUyQZpxwFdTUpQ/r2xyF+MM9I3QridAHYV4bbapzn2fs7sF6gZt26csTH5VGA3mdYISyrcP2CEzFbVTI8bS4pBC8sNV4b8/bf1+en/7NFLBHgle+eM7di7BDkZS9vMRsxrvFW++uRyy+RNw7YoNxcThyf/rWWLXmVUciZHUkNhX/YTaNV6vGLPIltnE+5+fCu33badcNQr/s0C4Nu2WBAcmpsNDj+8b/fuP7m/w3/7yWVedW2KsSlCGpTJBnJaicr3cBSu2zoVshjcPnlWS/1ti91vXSBZSehkoBaVpE7J5hVwixSZ31WK9lIGBj7wqSYf/3KTMAezrLK3q5yTomILyguz91h9xCRjVyP+sehflBfyOmT/efJkkr3L8tRJHZ6rgUlGr0oWB+5SqgjrtLiUJst0Wtfca6ULQMnYPLX4wvLdrxuw97jmA59s0Y9xB6yQKhTlKznIC22cl/tRBp95wJmD3NVwZW4KtmwDrRyIHNhpBdiJcXIkzvR2jCA2YFPDrdf1+c8/3mdtsIFjg9bhM6v1Q3EUF8e0GED47/7df2bTJa893OnPbFxbHt2xe2OHO24QTDVEkTl0jQNlmt05Se7gupfrNxga654fswHHEzllKr7qe6eV99KKVZgXUSX0Y/idP2vyH94/xbkVv9Kd440XVEnH3kHWf1sEmDJP0ZdD9cdKhKsXgCyn4havx94vtzjM76L6XvFnjP07VRlUHYRUFLPJySmtk/mESnBcmWaQv1fGCXYsc1gm7WxWXmWZbqfcdFVEdyB4/rB2SaB1xn7+RGaWYeWiHpNq2Vu27NsfJ4AyM2sRGMZZOzaCyAiGRjAwgkHqmDu2bv64L6GtBDO1Fju3Xs1Lrrz0V5vi0G9fccXN6xkcYNO0xvf8z928R3/7XH36+kCBMWvU6yFaOV8xSSVxqkmE+08T8tYlSTEtqRJUuMey1gTGnRKRFJECfAAANjZJREFUedxiLEWfgVuYwi3J3RMp81neKbJm+dPPNXjv+9ssrHquoF1O6m5FNWNZsHcFvGOeNy/mfZc+91g6fux0iT+PsP9cNq/OLaxKFZhk7sqQzLx01IqsVqNM5wtbeuJCZKwtKOxDQSZVrEUYRRxatsyk/MwPdVnuKj78WQm1nMHFeiZHu2nEedd9xuQmW4lUzubZgZHZcrROyuULgyVzRgRxBuqBgTg12DQFk7rjLT28QBGP6jz0TJt6s/7Utkvan+sPR2P/3tgI2Y995Pf5++/ecmLrxuEtW+eXb9y5aZVmo4dliBAhiIh6zSWAjJHZFeg6u8mXyZzJc7BMVgxWbUAxaQmWhVRj9SayCu4ssVMzHDqt+YUPTPHk3hoEapyxRbXWW+BJV3KRd+zke7tfqB1tstFBZSw6Pi6j+rpkclEwe7aZ1oswuKiuBDlzr2N1sX64kixZuphJc4EqvPxCzHFYbe4dS8BVXC5ENuXKWKamDPWa5evPeKysygpSJoKQ8l8pmHz8Qp/0ksYD8EkHxQWWbqfikRH0jSBKUhiNkOmAQPfx5QhPxQxjQTiSxFKxMlSf/dx9h3/1R9/zg2MAH2NwgGMr/297Xx4vR1Xn+z2ntq7uvn33LbnZk5uEJASyELaQYBQdRUVEXMbR95wZnVEccWZkdNzQjxtvFnfUmdFxGeYNCogijsgOASIgawJkJxtZ7s3de6ntnPfHOafqVHXfmwTBgPPO59O3+/ZaXf2tb31/+zQAFF5lL45ODOGxnQ7ueLgFIecoOAyvXFXBJetq6CgJkIehcgg1WHpyVWxYpsFNGoCbaMxNSRbcIQybYddBE5+6uhl3PZIDcjRhbaq7BA1A+rxVGwiTok5rT5pQRTS5gEkyC6Ea/ZDkR9N+vCzgGnlJ1M8dD/cCUm6yxDWoXpO4B2kmnbZRUhaBmLlJGJVBIipyqcGloanwzUFE/h2iWojzV9Tw2feP4ZNXl7D7kC1OgUAqnJ+cewSTx6fAWJOrvaJjRGYE8uRsqfaL/o4hF8wNv4rpbaO4dP0oNqzyROc1UPz64Tx+u9XG8kXtWLtyISLGcO3VaQjWAfycc14NyzT9q75zCF/4PjDiFzBapSLkiggbH69i0+ND+MT/HsfMrgA139Gy28ROFUqFpyWKcknF2nEqcLMY3Cq/JHYJWgx7Bkx8+lslXHdbHj6R1dDQAzqJNEkZliRdyJAtryMZ4KeikxnWITqS0zcnOdi1243yUaTjSQ/TJ9dayiwSiaIXRwjXoR7ZTAohKJMalyTBH9V7PJYqnIMxIwY9GEfO5HjLhgoiBnzym83YO0gkYkjcjCeRKgSAgUg9JkFOqOYD1y4MkIUS6f0qXspB5Q5nYYTFfaO48j0DeOUKBofa4MxAxCkWz+Ao18ZQ5nMws/8Cn7OwbrfXAXzmtHZYdtsV03pWLG5tqq2zylW05ihqIUEtAipBDtff76K7/Tlc8cchODeEn5xR6S7ST41aXkoMbD09NtHcSo4QwuqYW0UrTTPC3kETH/16CTfcnodPZR+LVKRS93kLd6BFkU6DRb3PO/Fz63nuk3lS0mxdR9vPY2VxnYpoIhu2l7QhAz8qgpkujOCJ/k7pcAlyaVgypcuVDydmdDH/xjIivO1VVZgG8LGvN2PvoJ3IlTqQIwG58hRLJlct4mLjF8mwq/jsqH4XLkjRDgja8gHe+4ZxvG6NiYmJAiZ8C0Fowg9Exy7bdjGjb+XdVmHOFdwfPjbAbacdP/35reOnzChu299vn7v3QNU4WmaoeAQhF1UTR0geNV5ApVZDFOZQ88z49KK0IZffUCp1aXhKV6AOdJIAWxmclCjvSZJMRc0IB4cNfPybJdxwWx6+YabBTWkK3JC62CKigXvjHicae0PzYGisnZYjmodI22fJbZ4Ef04E57zewMz6xZM7EzZn8mypZIpM/5BglwdAzOpyiKtkdQV+8ITVwbkGdsHmIQATES7ZUEUYEfzd15txaBjaKGSSGJ/qe3MjNjwByJGDSatkNWY7rcV5KphmA+CcoQYOylyMjjgYHrflUC6KSs3GwLANn7VFSwq92zByx/iS5RuODXDIo4iz8vs3rGlafd8jY6dt2sJQcCRAKENXE0ezUcSOvc1wbUsbFyIACnAQQ/Z9llk16dC8DL/HyVSRdNPJ6CTRgznC3x2ZwL/dVMB1v87DV9NfU8ydZm+qdHcmYpnV3emCYj4Ja5OUJJlMX8fuMUJOFN/paGZdUIenvCep/IxUXpA+fiSdn6IzeaLFASKLeBWwFSmDcBAuZ3xHHCYY3nJBBdueNXHVvzchBARbZH3kcUGmgYgTBPJYiFNluXY8KKeb/A3inHw5vbrFBXI5C9VyN7bvNQEkbmrOge37CYbK7pMd08rv72wvNty3tNGdb3z9q9A/sxr190/nHglQ9Qkck6PocrQWCWZ1AWHQiu17WzE44qBSs+AHJsJQzXNUSVjqVC51WKrAQWhwEvu9E3DH1yQENRiICdx6v4trb83DizMCdfbWwU4SaUKyEUuh7xKg89gmqgvN6/dp5KRrbR3QqSdoayqg6+ScArv2WF0hhBbJhNLfOtC5mkaW2ERJlDlT18m053CKiNOkPZycHsGYAc4NMEZgRxxvfVUFG86qgiiXHY8AFgI8FLd5KF15YjxfxIXfOuDCM5IUVCdZAHoMwDQAx+TIO0B7iWBuTw4UzXj2UA5Hx3IYr1jwfAM5O4SVm0DXtD7+xPZytOz0VzTcxw0ZHABy7WsRVmrXHhre1d9SOFLIWUDeISi4FKW8gWJeHBs1n8K2aNKcR7KI/tOp3BM974TEIXgtYkmYJk1CGCYDNTl+cZ+LK77ejKd3OyLOXufn1qQJiOxvkm57XB+t5HXaOhvBjDGrPZbVLI0kjH5ATLl44/sSeUISH3gcmm+QnxK3a+CxbEnYnEP3iavHVa4KY/r2avJBS1JVBGWQEEvn+vjny0fxEQr88r68oGflSIv94yQO8XNQBBAMbhDZU0hte8bIpBAlkpYJOBaBY4ntmKgAtmXEPdLVmWntaS3lOUtWX0tNF5f/ZeNdTDHJmjurj+/e/tTXLt6w8GjR5bBMgpxNkHcocq4B26YyFKtPIkhmaIqjk8vgzySuwjjXJErrbdnEh1ocP9/o4qPfaMbTzypw63IkLUtAhI9Z1VfG7A0pr5CusUwzdyYJv4E8mQzIdWA+Hn3SANxJJh1JPY1rSEi8KGm9ngrZA8nwKr3NBM/cV3ctEukiGdtQMY6IGwmj+wYWzwpx1WVjuPDciqg2yLK5us0jgDMwCBYPJTA5F20hVOs2oAHJyAtjHJ7PUKkSlGsUVY8iCClGJ4AKX3Z069atX2tpnTmJn3oKBgeAWfMX4OjQGKj5ECzUkHMMcbENOJaIihvqFK4YjzfyPvB6cOvsrWUGCuaOQEzg5xtd/P03m7FllwZuOglzEwpCoTWtV0alJknioAmv25ENtXcWszGLp12IaXeK+sHIcQO9kXHJef3tVLN8KFbX2VzT6qSexWPXIGdxOi0jBJBeFSG6qJTUej9A6bCO5L8+sHROgC98YAwcwM0b88n3UQyuaxBOEEHkkhgQIwkN/Tvzhse7nDICeAFD1aewPALbFIqht8vEgv4+WLnSlLuXTvWg5XZ4nk//YsXSWeWcTZCzKHIOFU3ybcA2OQwzMR6JRLgACJP+zMQlmIBb19npDlTUiAAT+OUDOXzsG83YUidLGrM3kWydro7XmUEleSXgrZMkWZbWXq/DV1kWdV7BOkxnXpjGdeq6IfYzYXsoYxLpWZZ6oTL0+xWbK/3Nkhz+mLnj+xLGTl3keBTOFJObgs19imVzAlx12Rj+6OyKYG3WiMnFqD7OReBGXSLJ4kw7eONrJvNRIohR3QFDzWOoekDVJyhXCSLaX7Yd4y/a2lq9qTA8JYPnqc/WnLbgoZaCPfbUM7sLOYcin6PIO4DrMFGYbMox2VpzTN3fHafCxmH6SGNuPaEqAfevNuXwka9mNbdZb1wSUxqVad1tEikNZa1gXX9BDbwiklYvTxQj62BX3pF0HoWWaNYI5FOAO3tfKkWWZx5DRopw3uD+rLEpOm0J9yHXXIVI6jY5BdGKmpXbj4AKjwoVb05kDnqkW8Y+cMrsAP/woTFwENz6gBuTfFy2o9JtpfTxISrhTSbaujGiUn21OfQMCCIuxpAHTOYNRaK1t0XQ2wksXnbemOvOemh0uMwwxZqSwTs7O9HW2jzIWXTJa84/PSgVOEoFgoLL4DoMrhMlII87vur9TDQ/dyqvRK+vTII53ADueNjBX3+5GU/v0cBNs+BWt8XOo0Q81SY8leOtNJ2hB28aGJMNtXcG7KlUWYXdjEH6fBdvcFsHbpwLnn1OnIyVzspLHwhEkzNpj4quvROtTuP/dQaPmBGzfMQMRJEpNTnF4pkBvnz5KNavrsJQrM3DjHclAhgX4XeNxSPpaWFxvrdMjw0BP+BiBr3HUPEijFdDDBz1kW9ZHtT88JJcvjTY3No+5b6dEuDFvI1DB/dhyeI5B9as6t/V11uAa4co5hma8iEKuQiuHcE2meihovUPNEiDpCqSpL8mwBZtHmBy3PaQgw/+Ywu27XFkZqCZMSp1nzeNwW0SwERiVKb7myTRM117N3QNpsBNUnJFB3TDXCJdh5M06I/LmzIZrYM00Nsk1uNZ9mbKFQeS/j/zWt1PHnsmVDkiU65CfXR4PcgZMxFFJphP0T8jwDf+dhQbzqjCiKThGbsNFdgjcJ4YnKF0SojgjSxmYEAQEvghUPUh+g3WOCpVhnI5ACM2mjvm7yq1zjmwZ88+EOI8f4ADYpLsDb/auOfpfd6f8/x8cB6greSjteSjqeDDdQLYViRn4aQZWjXqifuWGEkuN5XVOJYdACbH7Q+7uPyfW7BtnwNuNwK3GhBlppg76+9OgbqBMRljMQazJlmQZulGBmeWydP4lpl5GlinCvlM6gNXxmT2vviTeAJ8ljVGk8qquPInBfqEuQWYKXQvSzLgSmNyHeSRArq4zSTQmW9gQV+Ar3x4BOevqoBGoaDhmMWDGOQhBzwuwBwyFSEX7B3JNhB+SFD1gfEaMDIBDE8AYcTwyvPmYXbP+J8f3nfbHkKPCd+pNTgAdHVPx+h4Bfmie3DHU9a9R3Y9ura79RBsi6DqWah5lkiXVXneMYunc0ySogXZ3sEIYTkh9g0ZeOCJHK78lxK27VHgbpRbkgRyFLgtkkmkQpJMZdCsJMkYmbprUGfmrDyJcaW7CzUDM6W5SXwQ6Nf6gVAHchnNU9FM/f9URJNkNTZPnqsATZDS8PGFaD50or8+Y4RyiJIz1WCIUdFYCCxptaz3TSHqsBYHEw2AhTNDfO2vR/Hpf+H4zRMu9h4lIu4OufNl6oDPKExCYMgq/IgAlInUYzBR7RMxgnJAUAkYDARY5pRQaF1yb9/csw+GQQWWXTgmwI99CABobspj17aNO/LF3NfGzfm45i4fm7bVQEgNlpm0fYiTp0gG1IbWoEeOErFzAXYcNPDZb5XwV//Qgq17NeZONcfUI5f1zK1C8fG4PyQRS5K9rwF4p9LiSN3P6xk+lUwx1R48tkjXn8Enua3/n/KU1AV/EiZP9Hl9N4Rs4856Jm+sySPVg1zpcSVVIhORZ2LhjBBf/8gIPvmXo1gwrQZ4WrRTelcY5/BYIlcili1VA4KIgJEIKxaP4fVrB3HxhbNRbHK/du+m+3YcD7iB42BwtcbYPFhO00MDtdqNT+2vXvT0ju3Iv4phemfCjnEwhyadqJIe3knXVwXuz3ynhOtvK6DGZIsHqgOaagxOY1cgyTC3AnecCpsp2Up5SXRGR8ZzkgJvfe+TVLu2zGP680/I3uQJslMyXDcqeYZxNSaW9J2cAeKXKomSsHmScci1g0JrQ8FVCziAMSaZmgKUJUzOGDihMpVVFDhD9kfkNJKfT4AA6G6J8M4/moBjM3zm6hbsPJiTlUFEng0IQmKixkjs+VIuQ7VfHYtjTgfBxWc4OGvlPMzq77/RbZn9EPjoce/i4wb46sXTsH3H/j1v2rDmQ3x4qzF0ZOT1UTgOP/BgW5Hwf0OlwgpwmyrN1QhhGgFMI4DjBNh50MCV3ynh+tuLqFFTTBhGMisnAbiohIesbDGQ9DPJMnfcOD8GdYaVkWHqrMGYYfBUmsmksiV1VY/+E8B5KopJtPbJGfBmr9MeEyVrRJ8+Pd6SAjnRfOmx9EnADmWgIgE5ZzTez6okUTQAIjHgdW8Oq1HYVoi3nF8FGHDld5qx65AriyakfUEoAlD4lMCWrkI9sumYYv7Pjn3taO6YfdOiMzZ8qDJ+cG+hNOe49+1xSRS1Fszvw8Tgb/a+esOyzRecm8PMnhEU3AAEQi/pcxDjcX5y+KppBnBcH88OUnz628247rYiasQCTEsYj4Y27SyVHZiE320qZsfbWVmScQ826imY0uMaDvXniR1L6g+GFIpJnZxplGB1TNWSRbh2nfyb0LuuxxWQ9IzD+HWaTk8ZkyBprZ26rXlVWFrO6Eam8JzQuP+4ui+SxmfITITMRBRZiJiFwLdgM4pLX1nFlX8xglkdNcALgMgHWACwABFn8GUrCC73pyH7sYx7BFufY9g73om26cs333Lnw3sLpeknAtnjZ3C1ens7QHNzrirSR+cOHt791id3lOFaLSjmIHzhhMvRfWHM3Jbpg5EQ92+28K0bmvCTO5rgU6u+Gb3e5gFJ/rbS24ZmTNYBWvOeNAriABpYkTwvJaMb6PEschuBtiGQGxiajXA9WSQzFcbWZEz8ugYGZ2xQxkdFvR89lcuSYfE445UDkK0mAMQJWOIxUUkvJqSJaLVoBaGCSBTciEQ2OSXgAYXJA1z6ihrARnD1DU14dGseXiR2DgeFTyg8Brhc5I07JpB3GWDXcKTajfa+2deeuXLpVU9sO3CicD0xBgcAw+1HbfC60dK0Be/Zd5Rs/Nr1RTy6LY9qzRKPywGspilY27J8BCTAD/47h4uu6MS1t5fgU1swN7W1i2JuWWZGRYuHHAUcymFTHsuTpJ9g465UjbR11lMSgxpIyZCGbExIg9en0R4nZk2659KP8AbITgV2dEQDGmNnmp/q7xf7x5VbUNfkifSIDxw0YHFkmVsWSTCadiFK9g4jQ/THkam1jFPB5qElLsyCH9ogoYVLX1HDz68axLtfO4oCPCCsAcxDxELUGIEvj2TXBpbPBa54axUrFvgbp/ctfM8XvnfH6JpTZ58wwE+YwQHA7Xw7Hn/iwUpz93v9JTN/iYI9DsuMkLND2HYA2/RhmR5yOQ8eD/CDX+TxiX9twciEI/uW2Bpja1JEsrUp9baZcv8lcoLKVsfprL/EyxEHcTSm1ptqpozElEYndUyu56fohQx6QKihY/x4BYqus3UXITJMrWnxtFThU7xOHRRc09oZkJPEXQgiXY9y2wVzU3WIyJA/SdIwIHL7OYjoRU4pKBdpz1w2GuJcNOLnjMIwKNoLIb74vlGYlOMHv2hG2RMGpweCcULhUIJSCIyXLQyNzgk+/K4LthAyXDlt+aufD1SfH8ABYNq0xeCcPfiGCw6fRSq/crs7htDaVINteTANH45dw7ODHD+/t4Avfl+C29KYOm5CnyRK2TQpMYvbNUAzIjVw6lIim1/SKOSeGIo8ZTSmsEjSt1PYbXAG0KHc0Od9YrZmPfA1L0ssMzKSJc3SPGbv2BBEY2kTB6RioxNaOoDuy9BGZ4JoZKLm7CQ5R6LwWUgbypjspkVgMAZmqGkTFM35AJ/5szE4JsdN94bYMcjAOcN45CAIKSLOUBgyQPNLtx7YN/SBufN6nvdufN4A7+xoQhhUP37OuWfze+568MM3Pfhsrrc1xEXnleHmQvxms4nP/Fsz7nqyCI/lAFtJEjUbh8r2aUkkUrmLkgLU+ihjfTRSC+BAfx5vwMCZ16L+YEnJGWisXnd/vVdFP2B0bB+vU6WRJo9BSfTHEzef7kasZ3Fdfsj+Y0R/T55IGvmd1Psnn54k0gKq3VpSQKy8Z4qEGGGgXDQZMpio2mI0AuVyVhA1wLiJppyPz71vAhecU8Nn/i3EpidC5NwKXne2h5IbobtrZW3d+lfdVMjneal0fD7vFxTgAGBaLvvX/7j+yrHyvGDTNv+j9z+8x65EHuZPBz717RZsfLwJsFzAVrPgKajeZYpqqa1IEqPi2TdEBGzUDk+AkgZ+ipHlTo/BFaNxCnmiAzdrkGbdIUT92EjfKfGQZvJGtJ5mZt7ovpRs0dg44wdPMbd6XZyRmNRyxgcB4Q0PGKL0uLZ/IT87Brfub+fad5MEwxTZECFTCLiYC6SkC2GIKINBDTFmPDLg2D4uWOWhYA/hk9+OML8vwJV/6uHQ6KnomHHBEI+OfqFU6pwyW/CYGP1dXgwA3S1Vf93pnV8aHRnzd+wa/GytCvrENhu/3ZYHHBew86DUgCl7A5oZF58CtF4nGffUi/HFk9x5zU+awk0WxBn4kRiB9djUDUn9+ekzB6k7EPR5j8nBkNmwKdhbSQX9OitL4qq11EHBU+8Rh99J8mj8PtnPT71/wuhEHQzxw1KXx8Am0I6A1NuI/aFSo0XASPUfJzJQpIrNQ5lhGhoi+glOsLK/ilMXevB8oOK1McPu/1yp8/Rt+bw9Za738azfGeBvuPCd+NnNN1SXLV5847oV7DOrZm3B0/tsLJkNPLwrj7xlIWdwWDFwEwAnfQHTFe+T/S4xyNUd8c5NjMvGwE7uaCR1kH2NrmmyMkR9Xsa2TH8eSd13oiuuv1SgJ1qPFM24TGntlJ9cbCRXrsIGB4+e30IyO4nLHax0N0u5a4i+69P7LlMDIEAuxqnEXc4AgIixlKEZwrE5ntrLsenJJmzeaeKsVRv4K9bM+/Gebb/csmLVm57H3kuv3xngAHDeqjmAMW07D5z305B9yzV/RYtFA0XbRJcrek+nKqljS1x6PGjGj40UiaVC1qqCvJE7r26HZ25njb/6fJPkiY2kC0H2znp9r7/v5FumLeUByRqUJH2tA1R3J2bvB5DR54gBrz92bLsg8bbEr0MSJBKbSVJEAx3YVAd6cgbV34NSDscChkY5Rr0i3n7R+ay9Y8n7nZZl2yvD+08QhY3XCwLw1u7TcWDfbr/Ud953x7dtzw9VFnzZoGOY1sTR2cREXV0o2uEyLS4dJ0ORdDGw2iG61c8gjCJw0ZyR8+e5sVkFkQFmnddvMgM3Q91Zo5MAU4JIx3B8m6eZNXsNNDYoU2MHM1Illhq6JZk6ko69dJ8508veQFLyiQApgIuJxKrwXG4CpwgiCj8wRF9LZmKszHH6ounoaC38zesvOPO7W7duj85dveh3gWS8XhCAA8D0GXMQ1vZFxf6Ld45HneOLp9/Z1ASGoktxeJhhtAIg5IjkjyAAIPV3pquqNjwgGV2hyqWQMBbL/j7ajtZXCrDa/zqjTwlMjf6znpI4uFPnUtFuNgJ6I8ZWtzVXYOolGbnBtefGQI/hnHCm/tpjL91OSTYs6beCOACkMhGT/BGtkzCTCXdcAzhE1mAQGhibsHFw0MH+wzZCowXveP368eVLz965defBaNGi/hNA3tTrBQM4ABhWHo886d00vWfdB9702uJX9u64o833juInd5vwQ6m7kVRsU9XJKG5dzNM44apfNEEEyMR98TjjSLM4qcNIvSGU3eCMHEo/V885ISkwN0zU0t/nOIV3Ctd1no3GOjwJ6ihdrjSMBLAOfP2aJJ/ZYDfU3U5AyVOShDGCKBK5KJFk9HhSGlH93sV8VaggEWXC0yLzWywjQsQ83Pow0NHWindcfP7Q6lWrLqdG5abnBtwXEpIvLMCJIerj/NrYj9aee45ZWzpy1W333Ny5bxwwQgt5R55GRVMMkVNCAdPgMA2kWhurHyNiAI3Er8e46Fyg3kML4sUGKJXgiDPy1GMZtDfSziAJeKfW5SQDbpLS8+LuegO1bim7RL1XI1nS8HaDJkAycpP6zsCkIiR9UOtF4glQ4+dSgDDF5ALcQSRH2DASHwAEgsHF1GECGAyERILUtNC/mwvQ3joKq6kTMxedO7B0+Vl/NzwR/Kij7fkHdCZbLyjA1bJzJXB+6N+trrV019DoF0dHH+rsKTA0uwQVHxidIHBM6QM3OGxTgFv0WSFpgEccARHtgUPZvTaZuJWJuXGo7No6w2uylWLm1J0agLMekzp5Iu+W/5yw50QHum5YEtEl1tAMUZ44rjPaW2dsCfZGkSPtQ5VMTB3UlCVpsRDvKQrkeczCEaMIAoogNOJCBfV6g3KRNy6304ToZ2mbDENjLio1CwaN0NUS4bJLlw609K352HMDlX/vnz118fDzXSecbHW8i5Ae/PTnj3x3Rkf3Fact7B7qKHEsnGli7ekh8k01jHuyhyAV9cWiVReBYwM5G3AdcZ2zCWyTiBbgSMbIBXLERchIfKpkOqMBdYZofDA00CTpqCfRclemkCfyDvV4/JbxezUSP8m2NMJebFjLf+qrdJSBp7M0Sb1n6rtnpEna7uDJAay39yDJhA1TNlY1ZUsQAAgjAi8wUPUNVGoGqjUDVc9Azaeo+RReYMAPjHi2aj4XYLRaxl2PAk/tzuHgUQfEnjUURtOvOPLsxu++WOAGXiQGV+viN74GH73qRz9cccps342K3262DzStXFJBjXq45lcuTCpqHRS4TRMwDRL7xzlEASolDEEkfjQvJKiGRBqr0iiFnLsDIrqkGlLDZgoHsotwaDPnG0gWpKVKHNwhGqBTBiiJgT2l9pfbpK7i3BLJhLFMQXI2yh64WdZOGF17cyRRzvR34plt0wtVtIl3RCl9mTAFwAsMhBFF1TNQ9SjCUBxsagyjaYjiYMYAQg3YVgTXiXDHvRw/u4/g1JkhunsWjHMz/8HZvYf/q3fB+15MCL64AAeAVfPyzIvca4u2E3YWgx84dFduouKiYBHkbQ7XAVxbAZwIgBtqxo2QJjmbYLwWYaBMMeyTuCuSKDzmsAiBBQCqBzXjoEZat2q/pvyRsz86NFdXxuVH6oFOSYbV69yPmcin9lnZ4Ir+f0aBxCF29bw46BPLkKRxTspgVe5EZEGvbY+mt4nW2towtBmllEMFk3I2hWlwHB1xMTRmoubJ4mQCWQcAmCaHbapm+4BJLVQ9C01uDUcrHozC3BrMnj8bGG+7fmhf9XcKwx/PetEBfsklb8Yzj/5nNDA6//qlcwei+5+c/x/3Pz6cm9HK0FwgcGwCx6JwLALLojANAtMU1/pYv+ULx/DYviHcuMnF+HgO3LQAYsCkBK7sQa76IlKpzykhYOCJDpvEraKDME5/1YzHhNmV4Ziwd1rGJMBOPiPtt4zD8ulNSBUc6IyuQM44V02m6o1RKPnCj2lzJNulpRcTVc+adEMwZbG4GB0ZwbYCDI8z3PZoiC3bmtFa5HKgFodBifzdAMsgCCxhL0WMIIwIrMEizlg4gdeun1Er+z3vnNPReuN9jw5Hf/2Bt73Y8EtPWXux1je+cz2++aUlvDBt1zM33XnK1pxReF27O24V81QANEfhOiZc2dzTlf0P8y5BqQB0tXEsnuPjwjOH8coVg3hiW4jDg6JihBEKBirzxRWbEOgFEKnZltrFIEgmo0mwxrMvCeLJaiQ7DzN+jXycqIlq6jGisXq2xI2kzgh1uEO9Tz511gDSZ5SGlyRSTNT31yfHqVbX2rUqEheaW/S5scwQtu2j4Fbx9N4A7/1KG356Xyf8igEDDFHEEYVc9DeJIN2HQNLJFhgrUxw5aqCnZ25l2cLud3/wT99xPZn/GPviR97++4De7wfgAPD5f/wVUPowPnbZoaeoP2P3rN7wlUcGR3N+QFEqmMi7hgQ6Qc4B8g5HPsfRVGBoLYZoKvhoykfo76th+YJxPLad4NCAKJpgRIwKjKvraXKdqvShWXAnIE2NBIz/J5n7CAyqg1oDOyXxwNbEh56pBMoAPEFxGuC6X11PESCQNoNyS2r2QDxSkJBkzKD8juJ7c23ArQqwqd41soZWdUGQzG2ZAQq5GjbvZvjQN9qx6Zku5C0XzY7IJRFxCg7GuGzcwxHKxj2cEzgWx0QtxGjQM2o5s9732guNa5/dsgXvesuf/L5g9/sDOADc/evrsO7s/4W7n3Y3M6PtudbW3vNsWs0XHB+lAkXOEeVKrsPhSoAX3Qj5fIh8LoRthbDMCAv6PFAa4OaNuXiyMZdz6E2aZnFDY+QU8OOyN5Jmbw3ocYRVm1ysA54QndGz4G7sRtTNz0bGbcpVqT9HyaZGLK6BO31Aaz0ZJeizvSNT4KZcjqIR7G2ZAfKuhyu/X8TP7usAdQpodYC8yWFKWSh6mXAJbo4wZPAChpoXorm5BevOPuXomSuaL1+zHNfMWkiw4dXv+n1C7sXX4Nn1ile/EwAwMjL6Q8Mwzac3/+ZL+3fd3jk0VAGHBcvisAyxo22Lw7EjOJYYMchBEEYmwsjEjK4QvZ0eDo7kACMC41Q0kJEGV9bbkKAqs0ENgKMARaRMiU/1dTJAXWdGmZOsdq//WGX3xT57+aTYHmQQvUiUH1oZjoyDKS9RplcK9O8NxGI+rcyJ/rWRlPWpQE/SvMmyQ+wfAPYfscGpBcMQfcQjLnKLDF98bhhxocENwDIo/DCCky9h0dKzB5asOOujYRj80Ck1/76hBuBF9IMfa7W0NKOY599bveaMjy059ZwBwy6g4NbQ3uyhmA/hOgw5J0LOEj0PiWwlIPSdgeULGdYu9QCPAZyJoBCSEH5d3+nM56f0LTTgAmk2hgbiFLABqt2v6/JsIUXiodGtTS2RTN1mSb5Hw25V6jGmz+XRvSbqtenZPYn7MPv9dXCLII+e8urYDBs3m3hiqwPAjEsIGRc9Bb0AqPkcNR+YqHIcHWUYGvfR2VHC615z/sDqM878WM3n3yudJHADJ4HBUzvZKOK5w5XvFjrWhqevKnzZG76lNfL3YWC4FY7NkbNDOVULcYROFciaMgKqcyODbMULrZpF/zztus4AnOKSzXSMga3JIZIBttLMjZbumxZeFRJ7RlKSXDK5TOkQ2y49KoRBtGXgou83BU93r9IZXf/szM5I6it53O4u2VEcQSh83YBmfEMciF5IEDHRZMg2gcFqhJkt3Xjda9YPr1+36iOWRX9AyAubW3Ki66QCHACmdefBWfijnvbThp59etu8fYdm/Z+xiS1W+7Qa2ls9VGsWJqo2KDEQyZZfhAMHDlPsPGiJUKjso5L03NNkiv5hvJ5Zk+tEZlCdiTOMTWNg60am7onJuAnVR6vAjlZeljym9W6RUVTRVQpQ/xAkkkUHMYdkdAIQQ2uMz5NR3wnQSfwXUAdiOg8l2SaCKDAwtzdCT3eIw3vFMAGTcliGIJjRGkXZp+jIh5jRAbzntWuCI2P2FcuXn76TRc7NxLZxstdJBzgAEGqyux/YdVPA32YXmrdXFi8tXj0xfBe55k6fgpVw2mwL7c0e8jkiDaUIW/eYeGhbHnCSlsqK8KIY6MLKr9PhQKK7aWPWhsbeuhtQ91pQqgCPOnmSZIBpIXWeXOuxl9g9zyHD5yTNpBRqjq54Tuoim/BooBfAFuJexSJTSeVINHeSj58MDFO9wqs1CysXBFg028fjeyJwiLiEawNtRYrzVngI6ASe2NbBzj1nNT9/zaLLFi1Z/P1w/LBvuS0nG1YAXiIAB4B1Z83Fwf3bfGp2/shF+a5rfnn6W/YcGvicPz6IDtdAIWcIaWJGGK9GuG9LESErgOScOIzMAPgcMDiBpVhcgUk3JhsYjTQDeJ2NY1eb7klRLK65DIULL+0CzAYR0+H2hM3VayghYITLkxKJx2UrvKsIJ5MAj0fyZfJVOJgAuhxXEgeBtG1Jekkm/SQJEfneAbfAOIFjRzhnSQ23PlhDJcyDA8hZQG+ngXm9NvrnzcG5K7o+NRbM+Yntdux7/Im9/mnLTznZcIrXSwbgANDb1w8A1Y//003bhrD+SwvnPWb7lZaPcxw0KC3DdXzknBoe30lx829aYTkummxh2Y+HBD4DfMmgqmqfaafltKZOMzI0QOuSI208KlCTlG889jfr/m21pLGnZz5CgpvJio3YowKZtUfkmG3KZTdW8TIiER6P65ZzbsTzxWz6eKw3U6kOiHV63OAHiH3q8TgZQw0GA8LIgO9bALFhGBSvXj2B/3vnODZtK2Lct+CFDG7OwoyZc6LeaS2fX3tq+5eG9uyN2mefe7IhVLdeUgBX6/N/83p85Ts3RJe/7x2fPjIwZO7ZvvFvaO1ux7b3Y6haxo33FnHgcBG97RTtuQjVkKA8xgA/AjcoPMOESShsJiRKbKCh3nCcLOKZNhr1yGUiS0TgJ/Gr616ZlCxRmxBJu1GCm2nGoO5OVGcNKHlBxakg0oAu5zql2JspLU7UsFeAMi48T1QraYMKBCVNUi0jhGUFMI0I1ZqLo6Ml+L4Jz7fQ1+Ph4rUT2L9vGD5akW/uwIqVK72z1p33T6Xm9k/v2vJjzF3yjpMNm4brJQlwALj8fRdjfHwCxaL38bbm8+ize3rOeuiRH9CDA61nlQpHzbYWYFoTw/Q2AtOmWMiHwY1x3PF4E8p+Ezxiw6NATsvKoxp7pyKXGaMS0A8Gnbm1IJEG7hjkJM3iCniRLM5gEvmci8AIY2n7QJdPwgtE46Qq5WQkBGK+vNxmPR889jQxUQkUMbn9DKAsSSmOfeES4JYRwrZ8BFENtz8qxgQG1SJs08H0LhOmVcbBAR9/9uZcOOoVH3jbGy9is/rmPzA0xj4+MTGOYrHpZMNl0vWSBTgANDUV1c2PfeO7N6Piv6lpZvfwvyye89Slm54+Sp2AYf4MF4tnM5y5jKOvdxTv/EKIXzxgIjQM+MyMZYCoNpElcoYqkSMJMGniAksFc6h2UMiLAnfyPvUsrhZjSTAnkgweMS7yOKSLTe9HIjw00mikattVJykJViLZmibGJpX1mPFobnmURfJ9KSGIqCwalmcClTlomiFsq4bbHyV49+emo7OtBWsXGOifZYIxB2NeNyJrNlt3xpzrVi923zs4+ux4d+eqkw2P41ovaYDr67I/fR3KozvH802LP7jlqVk7zlz22NLe5omLjGA3utoYLItjvExQcgKQig9OfHiGgUAyuCpuNg0iqocMTV4oI7FBJFKBg6ikKy2cXw9y0d+FqPCZlAlhJAy/IJTsLUPaYcRThdOECKOQUshJwFrjYs1mYLpxCeUtSbILmbJCtZIm4fmhMCOhxwGZNWiEcGwPVsHDRM1BoUAQhMDBox5qvoeOrgWY25m78d1vXrWZmzO/+sxQdXzl0tknGw7HvV42AAeAQvM8ABgcOHLgkx9676JZldHNGBlsuSgqPwLPH8FXbyzi/qcMXLh2GL9+AqgFJjzbAkBgSP+tZYmUTgXwxPORoV4d7KnEK3WgiIsAuMiFFnkeSX8XQEiGIBLv5wdiOGsg8zXCMBkkpdjbIBzUEAeEoVULE0JjfS0GqGpAB9KRUUAMe+LqeUnrCIMyRHKIlGEw5OwaIlbDTRttrDklxF+9ZQBfvd5AhXdg3WmnYNaCRTcuXLro8qHRiT1zZnefbAic8HpZAVytzq7p4OzgntbWBR8pFK0fmZj1oZ27f3veM3ufw5+8cgDvfsNR3P6gh6/9FNi9vwM0LyuHbIKcRWCZJPaONIw2xv40GoNcZCCSFGMbhlYwbciqIoOngC40OIFpUHgBQRBylKsMns/qjEaDCtlhcIAbinyFn5sRhkh24hVuv/ocG137h8pnTghCAoQRlZOPDdiW6PralA+w/UCIq39Wwp2bWvDm84GL1udRpaejf87p9/S0u19d1D/viSNjwZ4Fs/tO9s/+vNbLEuAAQGgvAOzgnO8AsNk+Uuv9xF+u/U5l/Mn5D26+zdiwfBz7Do/imzcWATjIOwSFHJFVKVQGR1QkkCdFzAwA5SJQokcwG0gTHdyWyeX/4pIAXY8fEmx9lmFgOIoToFTWoqGdEUyegBvgIJGyCTgYJbH+VoZlnOMtFYnIZ1FNlhIT1Q+4PNg4WksEfuDjJxvz+MVvOrF+mYH+RaujzplLd5zljL3vdRvOOhhxbLMoOcFf5qW1XrYAV0t6Pbb55ZFtc2ZGr37sGWt6b9/q6wzyi9JbX/FUYf/gBB7Z7KC1SeSd25bQJFEktDDjwpfMIw4mGxMZXEgSUatIk5RZjb0VYytwJxcWT362TAbTZLCMCM1FH4btYefdTTh02EFrAbAoh2lK6WQAlglYnIgNQGIDRNJzQggHiVSDyySBiijJRGVediQGqqqK91AOHiYgqNQ4oshEdxvFj+9ycesjPXjVmQvKn7rs3DED/iWF4qIDKzuMPZS8vIGt1sse4GrZhRYMjPA9Cxa27Qu8sSVmcOGZxa4L/vU1658OTbK/bVpptMm2xI9PwDFWJqj5TMyS4RyMM1R9jjBioj7UEBKFUlEjmvKWGOI6Bre8ti0G22JwrAiOHcKxIuTsAG7OR2drGWN+GeUywbNDOVQYRclicC2OnCV69KXar2nOe8IAGokIJyMcUSQOOCZtUINyOBZDzmYIQoKqZ8ILSKzvaz4wMhbEZ5KRCQPTp80cX7Do3KEvnb7EdC3jz7u75m5qa2kaBTgjsZX88l9/ON8EQGcLQUeJMJt4w9SZdQsx2vr/84bvzfvby/7482970ylbTjsl/1j/nFxt7kyKA0MeoojBdShyjonuNgOMhjg8ylDxhGShqtZQ5jrHIJfzOEUNIodlcdiSuQWoQ+RzAZoKNbSWJtBcHIZPRlDmNZTMcTQbIxiq+jhYJhipUZQ9gppPRP/GkCMMOcJQ5FmHEZeSQ1XOMISquCACWCQkSsGN0NVeBqUTODLMUa4CE1UGAobu1nGMVQkqQa7mGS2P5buWbVm2+o8/f+vdP5zX01HqX9Y/7RavMjFMCPmDAjcwiY31h7QOHNgHQixSHboFYZQ38vni1c8NTvR/6/p95y5qGzZcx8eBIxzdLR5yTSP4wS0uWk0LM7oMNDeZKORM5BwhH9QeMylHzhYVR44dwTY5TFOwt+uEcHMBiq6HlqYyLHMc199L8OsHC+hsDXDq3Bo6W4FfPpjHT+7uBKVFdOUZmh2OvMPhWoj7wFimKMrO2QSOTWHQxLNjGgSOY6CQI2gtMczuqcEtHMV3bzaRRzNm9uZwZISgt9PFGzYY0eb9CzfW/OZtE+Xy+8erXvSeS9fD80M+Y8aMk/0TvajrD0aiTLamT58BJJHzcO/B4ff2tditn/jA8BcO7Pi1fXRgR3S03LLCcMnKBX1VUOqDgCCfMyW7c+TlBJYgJKjUAG4QuERIkoIrKmCUC840GBwrhOv4YLyMa+408MVrpqE8UsTKfg+XrhvDqoUeVveX4ZiH8V/3UIz5eeQMBtsAIoOLqqSQIIiEu9GxlVuTouYxhCyCZYrBT4wJ4E9UQngswIGRLrztvB50tPLfHnrUf8RtnWVMW7DeP+WMtr8H94YJ7QAAfPSDJ/uX+f2sP3gGP9b64U/uBuM4r6s5vGB2z+FL/vuBcGEOIcLyHhg0gu/X4FgBZvZUsWWvhX0Hc+gomehp55jeVUNX6wQqnoHh0SKam3w05X0U8x7aSuN4fNcE3vMP00F4CfM6OOZPM7BmqYEFM2qY0T0C0xrAu/6xBb/d1ovpRY6Sw1FyGZrzBINlhrJP0NtEMK3DRFebjfaWCLufG8cT24GZnSaKBRtOzkHedbDurLno6GC4f2vL1nNPKV43Zzp+HUa4p3PGBSd7F5/U9QfP4Mda73rLOgC4p1oduIcA9769m8/zq8PswfsGmZtvnWPYbR8Na3uwcukQ4O7Bb7dUEPkltBQpcnYNm7ZWcWSghP4+io6WEK1NZQSRmBc54ZsIgwIW93DM6CRoLVkYHDFgW8Lcmz/TQ9FmMInQyoNl0TSnx6FYvzDEgdEatu/IoysMUXQJiu4YjtRMtE2bg/mzLSw/ZRb2HBj80sHDQ7tnLziLTutpob3zrJ0AbmntbDvZu/Ylsf7HA1wt1+0EgFvU/8/uOwLTsluGBg4/UBtl6JhmBytyp3w4MpteRWGjvTmCFdyJw08yHB5qw6rFHO2tBAeOBthzwMXCWQFu+Y2FUi5Ca56ht91GW0sN+w5zVGs2LMNEUz6H9acexe69PpbMBA6XgWqlCGIYWDzTgTvMMTzWjje+4Uz0dlgwLR9RW3jr07snvjx3bs5as/pUXPTG3ns8zxvJ5TtO9i58Sa7/D/BJ1uwZXQAwAuDnADB09CDyTXjmtOVRNwVhlhFgYO9DaClOwK/ZyOdCtBS94PHn/uhKkucX0sJwYOYZ3nB+Hn0dBvq6DDQVaqA7gWIuh+YOArNQxYXnD+JIuQOrF+attnb7F+/99G+vxDTHqgUUfphDqVTAsmVL0FywYJicdvVZh18P7J4x7eUXNj8Z63+8Bn8h1zXXbwJAuh1yuHl+3xC/7h6CzoKNzlYT3W0EebeKzbsIXDuHnjaK7nYfrc1D+PHtzVjZXySrlnWOMobDTd1nn+yv8gez/h+mV5PQIrnsngAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxODoxMToxOCswMDowMFXl7YUAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTg6MTE6MTgrMDA6MDAkuFU5AAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 170825000
{'hecke_orbit_code': 22518066923438485, 'n': 1, 'trace_an': 16}
-
id: 170825001
{'hecke_orbit_code': 22518066923438485, 'n': 2, 'trace_an': 0}
-
id: 170825002
{'hecke_orbit_code': 22518066923438485, 'n': 3, 'trace_an': 0}
-
id: 170825003
{'hecke_orbit_code': 22518066923438485, 'n': 4, 'trace_an': -54}
-
id: 170825004
{'hecke_orbit_code': 22518066923438485, 'n': 5, 'trace_an': 3}
-
id: 170825005
{'hecke_orbit_code': 22518066923438485, 'n': 6, 'trace_an': 0}
-
id: 170825006
{'hecke_orbit_code': 22518066923438485, 'n': 7, 'trace_an': 0}
-
id: 170825007
{'hecke_orbit_code': 22518066923438485, 'n': 8, 'trace_an': 0}
-
id: 170825008
{'hecke_orbit_code': 22518066923438485, 'n': 9, 'trace_an': 0}
-
id: 170825009
{'hecke_orbit_code': 22518066923438485, 'n': 10, 'trace_an': -10}
-
id: 170825010
{'hecke_orbit_code': 22518066923438485, 'n': 11, 'trace_an': 90}
-
id: 170825011
{'hecke_orbit_code': 22518066923438485, 'n': 12, 'trace_an': 0}
-
id: 170825012
{'hecke_orbit_code': 22518066923438485, 'n': 13, 'trace_an': 0}
-
id: 170825013
{'hecke_orbit_code': 22518066923438485, 'n': 14, 'trace_an': -102}
-
id: 170825014
{'hecke_orbit_code': 22518066923438485, 'n': 15, 'trace_an': 0}
-
id: 170825015
{'hecke_orbit_code': 22518066923438485, 'n': 16, 'trace_an': 146}
-
id: 170825016
{'hecke_orbit_code': 22518066923438485, 'n': 17, 'trace_an': 0}
-
id: 170825017
{'hecke_orbit_code': 22518066923438485, 'n': 18, 'trace_an': 0}
-
id: 170825018
{'hecke_orbit_code': 22518066923438485, 'n': 19, 'trace_an': -4}
-
id: 170825019
{'hecke_orbit_code': 22518066923438485, 'n': 20, 'trace_an': -6}
-
id: 170825020
{'hecke_orbit_code': 22518066923438485, 'n': 21, 'trace_an': 0}
-
id: 170825021
{'hecke_orbit_code': 22518066923438485, 'n': 22, 'trace_an': 0}
-
id: 170825022
{'hecke_orbit_code': 22518066923438485, 'n': 23, 'trace_an': 0}
-
id: 170825023
{'hecke_orbit_code': 22518066923438485, 'n': 24, 'trace_an': 0}
-
id: 170825024
{'hecke_orbit_code': 22518066923438485, 'n': 25, 'trace_an': -71}
-
id: 170825025
{'hecke_orbit_code': 22518066923438485, 'n': 26, 'trace_an': 468}
-
id: 170825026
{'hecke_orbit_code': 22518066923438485, 'n': 27, 'trace_an': 0}
-
id: 170825027
{'hecke_orbit_code': 22518066923438485, 'n': 28, 'trace_an': 0}
-
id: 170825028
{'hecke_orbit_code': 22518066923438485, 'n': 29, 'trace_an': -516}
-
id: 170825029
{'hecke_orbit_code': 22518066923438485, 'n': 30, 'trace_an': 0}
-
id: 170825030
{'hecke_orbit_code': 22518066923438485, 'n': 31, 'trace_an': 38}
-
id: 170825031
{'hecke_orbit_code': 22518066923438485, 'n': 32, 'trace_an': 0}
-
id: 170825032
{'hecke_orbit_code': 22518066923438485, 'n': 33, 'trace_an': 0}
-
id: 170825033
{'hecke_orbit_code': 22518066923438485, 'n': 34, 'trace_an': -212}
-
id: 170825034
{'hecke_orbit_code': 22518066923438485, 'n': 35, 'trace_an': 267}
-
id: 170825035
{'hecke_orbit_code': 22518066923438485, 'n': 36, 'trace_an': 0}
-
id: 170825036
{'hecke_orbit_code': 22518066923438485, 'n': 37, 'trace_an': 0}
-
id: 170825037
{'hecke_orbit_code': 22518066923438485, 'n': 38, 'trace_an': 0}
-
id: 170825038
{'hecke_orbit_code': 22518066923438485, 'n': 39, 'trace_an': 0}
-
id: 170825039
{'hecke_orbit_code': 22518066923438485, 'n': 40, 'trace_an': -44}
-
id: 170825040
{'hecke_orbit_code': 22518066923438485, 'n': 41, 'trace_an': 576}
-
id: 170825041
{'hecke_orbit_code': 22518066923438485, 'n': 42, 'trace_an': 0}
-
id: 170825042
{'hecke_orbit_code': 22518066923438485, 'n': 43, 'trace_an': 0}
-
id: 170825043
{'hecke_orbit_code': 22518066923438485, 'n': 44, 'trace_an': -1644}
-
id: 170825044
{'hecke_orbit_code': 22518066923438485, 'n': 45, 'trace_an': 0}
-
id: 170825045
{'hecke_orbit_code': 22518066923438485, 'n': 46, 'trace_an': -290}
-
id: 170825046
{'hecke_orbit_code': 22518066923438485, 'n': 47, 'trace_an': 0}
-
id: 170825047
{'hecke_orbit_code': 22518066923438485, 'n': 48, 'trace_an': 0}
-
id: 170825048
{'hecke_orbit_code': 22518066923438485, 'n': 49, 'trace_an': 4}
-
id: 170825049
{'hecke_orbit_code': 22518066923438485, 'n': 50, 'trace_an': 558}
-
id: 170825050
{'hecke_orbit_code': 22518066923438485, 'n': 51, 'trace_an': 0}
-
id: 170825051
{'hecke_orbit_code': 22518066923438485, 'n': 52, 'trace_an': 0}
-
id: 170825052
{'hecke_orbit_code': 22518066923438485, 'n': 53, 'trace_an': 0}
-
id: 170825053
{'hecke_orbit_code': 22518066923438485, 'n': 54, 'trace_an': 0}
-
id: 170825054
{'hecke_orbit_code': 22518066923438485, 'n': 55, 'trace_an': 15}
-
id: 170825055
{'hecke_orbit_code': 22518066923438485, 'n': 56, 'trace_an': 2430}
-
id: 170825056
{'hecke_orbit_code': 22518066923438485, 'n': 57, 'trace_an': 0}
-
id: 170825057
{'hecke_orbit_code': 22518066923438485, 'n': 58, 'trace_an': 0}
-
id: 170825058
{'hecke_orbit_code': 22518066923438485, 'n': 59, 'trace_an': -2202}
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