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{'Nk2': 36100, 'analytic_conductor': 72.06498782420555, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [19, -1]], 'atkin_lehner_string': '+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [9025, 1, [5777, 3251], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 2225, 'field_disc_factorization': [[5, 2], [89, 1]], 'field_poly': [4, 2, -5, -1, 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': [[2, [4, 2, -5, -1, 1]], [3, [1, 11, -8, -1, 1]], [7, [19, -53, 40, -11, 1]], [11, [-1, -10, -9, 0, 1]], [29, [-116, 50, 49, -15, 1]]], 'hecke_orbit': 41, 'hecke_orbit_code': 180143985128383297, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9025.2.a.bo', 'level': 9025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 19], 'level_radical': 95, 'minimal_twist': '1805.2.a.j', 'nf_label': '4.4.2225.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(-\\beta _{1}-\\beta _{3})q^{3}+(1+\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9025.2.a', 'trace_display': [1, 1, 0, 11], 'trace_hash': 1268347232793639035, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.071', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.682', 'prec': 17}, 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70, -229, 54, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[5, -1], [19, -1]], 129, 17], [[[5, -1], [19, 1]], 139, 12], [[[5, 1], [19, 1]], 121, 18], [[[5, 1], [19, -1]], 126, 27]], 'ALdims': [121, 126, 139, 129], 'Nk2': 36100, 'analytic_conductor': 72.06498782420555, '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': [9025, 1, [5777, 3251], [1, 1]], 'conrey_index': 1, 'cusp_dim': 891, 'dim': 515, 'eis_dim': 119, 'eis_new_dim': 51, 'hecke_cutter_primes': [2, 3, 7, 11, 29], 'hecke_orbit_code': 33563457, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 9, 9, 9, 9, 10, 10, 10, 10, 16, 16, 16, 20, 20, 21, 21, 21, 21, 24, 24, 40], 'label': '9025.2.a', 'level': 9025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 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mf_twists_cc • Show schema
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id: 48943848
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985128383297, 'source_is_minimal': False, 'source_label': '9025.2.a.bo.1.1', 'source_level': 9025, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 180143985128383297, 'target_is_minimal': False, 'target_label': '9025.2.a.bo.1.1', 'target_level': 9025, 'twist_class_label': '1805.2.a.j.1.4', 'twist_class_level': 1805, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48943849
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985128383297, 'source_is_minimal': False, 'source_label': '9025.2.a.bo.1.1', 'source_level': 9025, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532396679890701, 'target_is_minimal': True, 'target_label': '1805.2.a.j.1.4', 'target_level': 1805, 'twist_class_label': '1805.2.a.j.1.4', 'twist_class_level': 1805, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48943850
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985128383297, 'source_is_minimal': False, 'source_label': '9025.2.a.bo.1.1', 'source_level': 9025, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 148618787736789825, 'target_is_minimal': False, 'target_label': '9025.2.a.bh.1.4', 'target_level': 9025, 'twist_class_label': '1805.2.a.j.1.4', 'twist_class_level': 1805, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 48943851
{'conductor': 95, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 180143985128383297, 'source_is_minimal': False, 'source_label': '9025.2.a.bo.1.1', 'source_level': 9025, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189372685, 'target_is_minimal': True, 'target_label': '1805.2.a.n.1.1', 'target_level': 1805, 'twist_class_label': '1805.2.a.j.1.4', 'twist_class_level': 1805, 'twisting_char_label': '95.94', 'twisting_conrey_index': 94, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4914400
{'charpoly_factorization': [[[4, 2, -5, -1, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 2}
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id: 4914401
{'charpoly_factorization': [[[1, 11, -8, -1, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 3}
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id: 4914402
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 180143985128383297, 'p': 5}
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id: 4914403
{'charpoly_factorization': [[[19, -53, 40, -11, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 7}
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id: 4914404
{'charpoly_factorization': [[[-1, -10, -9, 0, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 11}
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id: 4914405
{'charpoly_factorization': [[[71, 22, -32, 2, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 13}
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id: 4914406
{'charpoly_factorization': [[[-436, 256, -25, -7, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 17}
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id: 4914407
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 180143985128383297, 'p': 19}
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id: 4914408
{'charpoly_factorization': [[[-709, 281, 2, -11, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 23}
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id: 4914409
{'charpoly_factorization': [[[-116, 50, 49, -15, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 29}
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id: 4914410
{'charpoly_factorization': [[[659, -3, -60, -1, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 31}
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id: 4914411
{'charpoly_factorization': [[[-101, -17, 30, 11, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 37}
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id: 4914412
{'charpoly_factorization': [[[-4061, -606, 100, 22, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 41}
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id: 4914413
{'charpoly_factorization': [[[379, -688, 225, -26, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 43}
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id: 4914414
{'charpoly_factorization': [[[-1681, -238, 200, -26, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 47}
-
id: 4914415
{'charpoly_factorization': [[[-1891, -532, 25, 16, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 53}
-
id: 4914416
{'charpoly_factorization': [[[829, 350, -41, -10, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 59}
-
id: 4914417
{'charpoly_factorization': [[[-1744, 932, -131, -2, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 61}
-
id: 4914418
{'charpoly_factorization': [[[2389, 79, -110, -3, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 67}
-
id: 4914419
{'charpoly_factorization': [[[19, 166, 100, 18, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 71}
-
id: 4914420
{'charpoly_factorization': [[[-2071, 88, 150, -24, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 73}
-
id: 4914421
{'charpoly_factorization': [[[2384, 1460, 321, 30, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 79}
-
id: 4914422
{'charpoly_factorization': [[[4, 296, -5, -12, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 83}
-
id: 4914423
{'charpoly_factorization': [[[-1, -13, 0, 9, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 89}
-
id: 4914424
{'charpoly_factorization': [[[-839, 1229, -48, -19, 1], 1]], 'hecke_orbit_code': 180143985128383297, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 41, 'label': '9025.2.a.bo', 'level': 9025, 'portrait': 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4bpsYSl1YDVnqAfeyx3BZvGDIstw4lZRcXz2TQJ22ZCNk712TA1YNPUgG0bLTs2KS7Z7lFVdY6eaPLw8z5PHoh59nhEotp842tavPsWS1VNceD4OEfPaE7PJZxLwX1owXLdZfP8u+9aZvv0GKfnJ5hdqrDY8lhqSZbbCaudhM5AcOjYIvtOti55bv/sa4+fWdh14sz8F29603vCB770l680JL6m29c1g6+stFjpWQLNL93z5OFb/v1vfUK+79WHb/l/vvWEXlzZyMLKGIsrNRZbPgsrmsWWYKmVsNSKWFxJOLcChxcFM9Mr/MfvXuT6PTVOzk5yZq7OmQXN7KLl3ELMqfmEuXbM+GSfV1/R4caLwZdVAhUwu1Th7ILm3JKgO4A4NlR8Q72SMDEWY4Dj52JWO7Bzo0e9OsBaAcKn0zPs2DRgcUWDdVJkpQODGCyWpVbI1g0e7Z5CKIswA5oVjx2b+6x0BcfPaBKjmWpKGhVB4EEcC7oDybklydlFy+xyTBD0wYu56dIOt1wmmGlWWVxucnI24MwCzC7EzC7FnF6Cw4uWay9d4Be+e5lN401OnJtkdqnK3JLPQkuytJKwtBqx3EpYahvm25Ljq9BeavEb/08Uf9dbggcrM99nVO3yB7WOf6bfr1KtNV5pqLzk7euWwf/r73yC2157NT/9kz/xix/767v+7//xZ3ddsO/Eyq4jZzrylsu7nLfZEMeprjYSYyVYCUhAILAoaQkknFms8ughyRXnL3Hx9j61Cnha4nsK39fUq5KaJ+l2PPYfq3Dnkz7H5wasxhH7Tw7YOLXEO169zBUXtLn24hbHFmIWuoJa0OfIGUtrtc7l50lW+gl7jykaNc0Lx+HCLZZ+mNBPfLSOmGjAvpMBSid4MkZ70BtIrr+4S68rueKChNVewvEzDXZvUtRrISsDy4bxLsudVf7iLnj6aMKzR/vs3LLIlRetMjEZ8vab2nzr6yznb2qQROMcPT3G4VMeJ88ZTs1FnJpLODwnOLES8ao98/zH726zcXyck+cmmV2qsbDis9iSLLcSVtoRrU7CSsey3BXMdhUrqyE3XLLAj3zznKwFZtfi3PHdrVVzg1e9oFpvjH/52N6P8Rv/4+OvNGTWvX1dMvifffQTfMOrN6vf/+sj//7M2XP/dt/+4+r0YsR8XzHbNVy5a5Zf/6E5rj6/xrmlCRZX6iy1Kiyteiy1NMttWG4lLK/GLLVjFlpwclmgq31uvmyJb3tdyO4NdVY6TeaWqswv+Sy0BEstJxGW24bVnmF1YOn2Y6aaETs2GkAQeJZTcx5CBuzcoNi9xbJlQ5fZ5QHPHGxwzYWWWnWZ5w9N0qiHhKHH1ISh14dLdvT5yF3jXLQ9ZjCwTI9JoqRHoxLwwrE+Va/OVXtinj0SMrvos3UqYPdm2LEpRKmIUwvgexYhLDs3xkw0JO1eQKfrsdr1WFpVLK3AYsuw1EpYaCWca8FiP2HH1g7fdusCN1+sqXhNzi40WViusLCiWVoVLLcMK+2I5XbCStuy2IFzHcm5lYQbLjrHr/7QAnu21VlabbDcqtLqjjM2uTNpjm/4xaeO3fAL523Yl9z0mne90tBZc/u6AviBA/upVCvVU6dO7Xj8ieffd+jImf+079Ap4kTRDQXLPcFcT3KuHXHtebP81x9a4srzqswtj7O4Umd51YF8eVWzvAqttmGlHbPcjllatcy2BGc6FkSHd7+mxduvN5y3uUIY1lhuVVjp+LTaiuWOoN0V9AeWMLYkCW418KAaWMablg2TEdrrc/hsyHOHAkxc5603hGhvhSf2jrFrM3z+0ZjXXB4w1+pR0Yo4iZicgDjy0F7M4mKNV1+9yucfarB7Mzx+cIBHjbdcb4hFj+cOJxw9VUFLn40Tmom6oBoIfF+gBMQGwsjSD6Hdtax0DO2uYaVrWOxYeknCzm1d3n5ji3ffEoJpsLgyxtxS1entVc1yC1baCa1OzEo7YaVjWOoIzrYV86sx1+6Z5Vd/aJ5Ld1ZYXBlnpV2j1Qno9DTdPvjV7XjVzT83s+niv9yydeuJwaDfu/DCi15pKOW3rxuAnzxxkJmZGf/QoUPfu3//wfc/+PDTYmG5LQcD6A4M3YFltSdY6QvmupLZdsj1F87zK9+/yNUXVFhYyUAesNL2WW5rVtqCVtu6Jbcd0+oYljuWubbgbMswMd7lTde2uenimJ0bFc2qx2q7QuBJQBHGEmMExkK3DwjDRKPPwdMWY0PueLzOoFvlgq0+N1/RJTIr3PvkOFdd6HHwXIfWcpMbr+jy5ScCNk5a9h63/Oi7Vtl7LGDjpOTOJxU3X6JY6q5y5OQkV+0Jufe5HvGgxk2X+py/vU8v7vClJxQkgsOnNM2aRgvo9iTGChJjiWJAGrRvaHUs9UbE9s0Dbrmky5uuiZmqV5hdGmNxpcryqjs2y6uCVgda7ZhWJ6bVSWh1LUsdybmOYKEdc8NFc/zi9y9w5XkBC8tjrHRqtDsBqz2fTlfT6Ss6PUGUVMz2XZfbnbvO/5Hzzr/gg4sL8+Ell3x9gPzrAuDWDmQcdd/xzGNfuGCpZX/1scce91odQbfvJEKvb+j2LZ2Bod0XtFImP9uKuemSOX7p++e55nyfldUx5pcbtDoVVto+Kx1Nq61odaHdsax2Y+cO9AytrmW+I5jvQJQMuPLCHpsmEzpdy9tuHLBrkyFOJFpawgjueabCibkKmydinj9cAVPj4m2Kqy8yBJUuTxzsMr9Q57JddZrjyzz0rMd1F1ZY7K6wvNxk0ybLo3sV3/mGDo/t1Wzb4LHQabG8NMnVl3R56PmEyeo4l13QYa7V4tEXx6nqOtdeZNmzow+ywzNHBRsmI2bnI+59xqMfKaSExFh2bQ55040h7Y5iy4Th6gshDGsstWostQJWOh6rXUWrI1ntwGrXOSXtbsJq17DStSz1JKdbglZ/wM175vmF71vmugsDZpfGaXWqrHYC2j2Pdk/T6Sk6PUmnJxyBtEKuuua6aBDrn/z2973jUL1e+2y94plXGluveCaz0+3S6Qy+uzX3yK8vz++bPHGqTa0qsUiEsAgBUsQIYRBCIIXToFJalNQ8dmAjP/NHmnffvMS3v2GJ3VtDzi02Cfwq1cCnFnjUq5p2VdLoeYzVNd1+QqeXsHFg6A0s7X7A0nyFUyctYWw4fS4mCCwg8JVFS0G3pxB4xF3Nq3YJzt9i2bG1yyBp84XHFPsOTfDmawKuvmSZD33B4osau7Z2efYhxdZxxXSzS0VVCSOPuTbUK5ptGwVP7wu5ek+V1121wJ/c3sP3GrzxBosXdPnKoyGff6TOi0ernLelxq7NCTMTIbunIy7flaCUQSsLWGpBwMx4QBh5tLs+zx/06PQ13Z6i05d0etDpWzpd993bvYROz7Las6z0YL6rmF221Jotfuxt83zzzQOuPK/O2YUGrU6VdjdISx6Uu/cduLt9Sz90lug99z3medWpX5+Y2bz0zW+9/t/0et0/qVZr//sCvN/vIeD7Dh149JfOHL1zsttuU/ErxInCGIs1AlAIQIjEgV0apLBoYdEywZeSZw/O8NSBOgfOzPGuWzrccmmf8UaTpVaN+mqFZrqkttMT0+trugNNf2Dph4YwskSRJU7cPYx9rAGpBJ4WVHzBeEMw0YBN04ZtG7tMT7T44hNw31Me0ozx5ms8XnVxmwdejAj7TW5+laDV6zG3WOemPYbp8S5VHdCPFfOrEcoIXrVHU2sMeHJ/hddePcaNV7Z5cr8CO8Y1l/r8829c4stPh9z5WJ29JyrsmFFsmqwy0agx1oBqAJ62KAnGwt6jgiQRRLEgjGEQ4b7jIKE3MPQHhm7f0B0YOj1YHcB8RzLXhoHpc9tVS7zjlhb/5I2GOG5ybqFOu1uh3fVpZ+DuSzo9SXfgwN3rJ/QGCWFk6IWGMwtn+cQnvzDZ8JP/8va3vFZ3u90/qtVeOZC/YgA30RxC9v/5/Kl7f2nx1L0bokEHpTWBb0gS4bxkwAqBEAohBVKAkgIlDUpZtLJ4ylD1BAvdKh+7axtfeWqV11y+wnfdtsLluztMjddYXKnR7gV0e14KbOXuoWAQSaJYEMduqXe1Wy6o1BoqPtSqhslGxNYNXWI6HDwd8Rf3Vjhyss54UOW6SzU3XbHKowda3PFwkxsurLBjc5eP3CVQIqDZiFjpDDAWlICZZpfVto+Jq7zjNXN87PM1zp+t8PYbuoTRIvc+N0WUVLj+0g28/bpVLtze4itPdnn2ZI1njvpsm5RMNgW1QOB77iKUAoSwGAvGWKI4vVgjyyByF3I/hF4I7b5geSBYaoPQfa66aIXvetMKr7k0YapZYWW1zkrbsXan79HNJMlA0u0Len1BN7tw+gn9vlsJoxi0Viwvt/jjj9654VzL/tK7v/HV9sTZ5T/esXniFcHZP7gPPnvgd+nu+D5ePHj4e8bk3b9WS+6aCQctpMw+igAhEI63EQKEEE6eSIGQIKVASlAStLT40lLRoKViqVPhmSN1HnwuYP+ZiM1Tbc7f2mGsHjLRDGnWYurVmEYtZqweM9GImWwmTI0nTE8YNkzGbJqK2bYxYveWPjs3t9m2cYVutMTdz4V88THNlx9tsrJU5/yNFa69WHPDZavoyjyfe6hKVY5x8xWC83fM8bmHa+zZHLB5Q8znH03oduvceJlh15YVDp0IaFRqbN/U428eAmUDNk8GTI31eGRfzJk5RRR5aFVlzzbN9RdHXLC9zdREh+OLhr2nFHPLhtlly9JqwnI7YXE1YamVsNgyLK66x4WWZaEN51YEp5clJ1uC2W7CatjlqgsX+NfvmeNffFOXGy7y0WKM5bZb+VqdCqsdn9WuZrWr6fQl3Z4DeMbc/b5bGXoDQz/MLiToRpIT833uf+FM3UbHX3v55n1nf+NX3vH0vPcdPHr3J/5B8fYPyuA/8V/+hA0X3sO/efsN/yTsHfqtWvL8uDDQqI0hxQApLFIAwiKwKXNLlJQpcyuUEmhl0CrB0wJfG3zPEniWmp8wXhG0Bx7LqxN84r4mdz3TZ+NEl/fd2uLi7X36vQ6X7bZs36QYRB5JovI0v8AipcHTCcdnLUfPCVZ6hs88UOP0wgQ29JioKLZMaXZu0py3FS47fxUjF/iDz9ZZWhrjhos1l53f4ivPCETssWFCUq/FdCMfmSajlPZp9QWzS4JLbY1br2nz4JNVtkz73HDZJP/sGxf44OfbPLa/TqfvsbjSYPeWKhdt7nL9njbf8to2Z5aW+MwDAYvdgONnPU6f9vGUQEqJQGCsJTEQGUsSGyamIq64tMtgEHHx9gHvuXXAhjHFZCMgiiqcna/Q7fl0B26V6/WVq8IcSHoDQW8g6A9wK8EgcffQATu7d0PohYJOKGgnHnNnV/lvf/rk9INP7/ytq/Zsj377P2766OlD/52tF/z4/3oA/9BHP8J3f8dN4kd/gfdWePEP33fTE7Xde6Db96l4Yaq3BUJYkJ7LRwoQKVMrKdFKoFX6qAWeTvC1wPcMFc9SjSy10DJWSZioCrqhpB3WOXqqzq98dBJMjIhjrrmiy+5NIXEMxpq0fkUghUAqgfZ89p/w2XuoQr2iafiS6ZpgZkqyYVKzZUaxc3PCRTtXSMQi//2TTY6fGOeGPR4X70roxW0efi5gvOoxNWYZb4TUqk4KGSNp9RVLHctiK6HVqfLqy1Z4fG+XfScU480K1186zve/Y5Hf/hQ8eahOp2dZaWtml5psmq6xYaLPzqk+P/HeLs1ai2ePwv6TEs+zKGURwtXjYMFaiGPYtSnh5stjksgjigOsrdEPPc4t+PQGHr2Bph+qXL71QkF/IOmHgt4ABqGTJIPQMAiNA3dkncbPmDsUdCPBaihYjSARlsUlw8mTz43/i3fO/+HZgytxfcuP32vtj80ByT9Erfk/CMBbJ/8LzW3H1Je+NPvu1lLnQ+//7Gzl+X1VfuWHl7l4R5yyNo65pY8UFpU5JcqilUIri9YyBbbA9xQDTzIIDUGYMIgs1cgwiAxhaGnGMIgMgxjCWNCPJIMkIEoq7DtU55l9kFiLSf+0EuBJ8JWr+WgEcNlmaFZhrC6ZaCimxjUbJmHHpgGbZ1aI7BL//ZNjHD4yxtXnKc7bJjl/2zJ3vxAzuzjGNbslE01Dxe8RyACrBHEiEdYSJyHLnQqzix5XX1zlVXvaPPBkhY0TglqlwdV7DD/27kV+61OGF043WOkYVtqK+WXN9HidiWaVieYYzVrETD1i59UhgRfj6RilEqRwwYTFXVRRpJib10SxIooVYaQYROljKBlEkkEo6YeSQShcgBoKBqF1oI4Mg4E7zoOw0PWDyLF2L3IAX40Ey5GkF8bQ7/Kq3Sv84g8s8PpLztVePFX702pycLXa2HZNEndP/kNg7+8d4D/2//sTfuS3m+riLaffo+3hP/ncgwsVvBpfeHQSTxt+4QdXuHRbBykd80jpwK2UqyXRaTCppUJrm9aQCHcSPMHAV4SRA3oUWcI4ca5IXLonECeWJDEkBhIjMIYc3EJkeh48DwItqASCWiCp1xRjNcnEmGDDZMzOTV0a9RU++WDIvc9NsrLQ5Iodip2bPS7c3icRK3zxsRp1TzMzoWjU+jx3GF48orl8u6U7UFx5YcQV51vOnU2YX/bp9Wu89bo29z/b4+BpRb0qCfwml59n+IXvWeSeF3p89p5pFlctOzckLLc0403FWN2jUfOoVy2VwBD4hkAnaOWklkxbK63FJayMIDaSOBHEsSCKJWEsiCLJIHLOSxgJwsgShjCInDsSlohjkAWtEflF0IugGwlakaQVQT8MkVGHq3Yt8x9/YJm3X5/Q6weM+Y8EDz/W4dpLt736imsaf9U5+xtJffO//scN8AumfNmutb/9rkeXf/fBZ5crg6SJ8AVW1vibByEcKN7zhlXe+4YO480Y3U1QMkGp1OfVCZ7WeFoThIq+59gm9CQDXxBGwp2cSBHFEEbSOQhxYfvFiSFJnLuQ2NQpSd0SF7w6d0Zrga8FgS+pBJJ6VdCsWcYbho2TA2Ym2sR2hY/fL/ng56fYUKlwxQ7Bjs0eu7YYdm5e5pMPW5aWKly8STHRhEYtYvaYZG45wN8Ng0gwMyYZH4eDRy3Lq4ZzCxUu3FXhDde0uf2+ClMNCHwfJce5/HzBD7x9Dk/O8TcPTPDi6QobVyM2jMeM1RWNqqJWlVQDTeBD4IHWjhSkwK2OGchxF3ZiIEkEcUIKdIgSSxhDFCWOFCJDmD4OIkMUwSBypQuDCPoR9GNBPxK0I0ErErQjSzwYMBa0ed9bFnjfG7q86WpLp1tlEHlsHLe88ZLnA+nLP9z31JU6MRN/juOZf5wAv/3224lj8z133Pvsf509ebo5XWvST6CfCPqiQiwUX3zM4+EXKpxdWuJHv6XHRDOiEtRY7SRoneBrD097eDoh9DR+pFKAu1S6YxzhmChlpTiGKIEkscQZsI17tJkPCLlD4wJXgacdQCoB1CqGRjVmvBEzM95jemKFB/eF/NkdVfYfHWfXmMf5m2DbJp9tG+GiHat041Ue3dukqjxmJhTjDRhvDJgYi/F9jRDu4uoNfJZWI1a6llYnZm7ZZ8emBjdePMcdj3XZf7pJLYjwlI8QY5y/VfFP37jAtRfN8Wd3NHj0+XEWO5oNzZjxWkytIqlWFIEnCDyJ57lYRSlS+zC1XHE9rMaQAz1OTLq6pdZibIgTB+44gjC2xT2CMC6A3Y0E7VjQjqHfizFxj6lamx/+1kV+4ju61Cseq+0agzAgijVRrIkTj+W5pWYrnP3vqnal/+U7P//BN77p7f/4AB4N2igpv+/P/vxTv3Tq1KmpqbobP9YNBb1Y0E0EbenRV4qVvua//oXH3sMrvOO1HW69qs3G6ZB2u0pv4ON5PoHvMQg1QaQJI0XoO4BHkSSM3bIbxamnnUCcyJSpwBiJsRTgdknKwmpULmHie5aKb6hWYhqVmInmgM3Tq8y2urz/Mx5ffHySpeU6F8wIdmwQbN3gs22DYPeWPtpf4WP3ao6crLNno2SiIRmrJ0g54PS8JdASKcBaQRhpdm5Y5TESVruK5VXL7FKVPdsqfMutLf7qKz7HZgM8HSGEh7F1olhyze5ldn7HKl98sstHvjjJE8fqbJ0QTNcT6pWEii8IPIHvSTwt0AoXOEuR12RY3EVmLM5pSRzgM5DHiZN0DuwQJs7fDmPBIIZBLOjH0I4l7Qh6kSHpDtg2vcrrrl7hna/t8LbrDJ6osbwSEEZ+eteEsaY/8FnteiwsnZua2nLer153yzer+YXuH81M//0kg/5eAH5mboXVvvxnH/ub+3/p7rue29Dru3R3RTuAKQlebPGloB1LuqJKK/L42N0V7nm2w9UXr/Idb+zyDTe0mB7z6fYr9EKfwPOIYo9BpPNAKY4VUSKJY0mUCOJYkiSCxIhCaxtBrkosafofp/PTZJHvGQI/oRrENKoDpsc79KIeX3nO8hd3j/Ho8+NM+B6Xb7VsnpRsnPLZMiPZtjHkvK3LPHusx2fun2FMaWbGBM26oFmLaHUTPv9whYbvyg6Mhd5A846bB3zuEVcT0+oY5pY12zY0eNctHR7d12bvQZ96EKOkcCA3Nfqh0/r/9A0t9mye42P3rPLQi+OcWK6yqSkYq1hqvqGiDb4HWgmUdBeyY3LIyo9MKtWMKVa4OAW6IwiIEkGUpFnRxBFTLxa0ExiEhjgMqVc7vOvNy3zHG1e5ek/CxklNv19ntRMQxh5h5BFGmijSDCLNINQYo6hWYkT45Ia4FfzSxh1vMiZa+oD0Jr++Ab643KLXWaVeEd/9uTvu/7VPfvqOqfbKCo2qQknwPZdtywO6BHwJFSnoKI+epzi1GnDmkRqPPNfhry5v857burzl5hUmx3zCMGAQuYMWxe6gRbEiThRxIh1rJwXAjU2Z2xR2VFbfoqRJnRmD7yUEfkQ1CGlUeyT0+PKTko/eNc7zR8cQUcCuCcvmccv0uGJm0mfTtGTLTMSOTaucnG/ze5+tEw+qbNsmGG9omnVo1iKEF7LaqzPesAghsBaiWDIZKGIT04582t2E5VXF6fkql57X4Ae/aYVf/fOA4/N1tIrSC0MTxxX6oWTTVMA1F6xyxXkdXjh+mr+4u8odT4xzplWlHigaPtQ9i68tnnLJMCVTSVY6Xwawxl10iREkFuJEOP88EYQJhImglwh6CfRiSxzHmGjAVKXHW29b4X23rfKay2PGq5owrrPccvUwUQrsMFapPHGEFEWSxDg5KJNFjuy9Z8Nqp/Zrm3bcHM/Nnv3TRqNCtTbx9QnwVrtHtdJ85yOPPvnb9919V9NLVploaIRwQY5IEznOKXEg1xI8aQmyA6l8urFmblDhbx6tc+8LXa6/s8OPf2ubS3assmFc0axpt+zFHnFcgDzJAJ52+FhL2qeZgRukyNL8Bq1jAj/GUyGrvYj51Yjf/GSFo3MTPLl3HGt8pqqCDdOW6THBVFMxNe6xcUqyaSpm60yXqfFlvviU4YkXx7lim2CiIWnUJM2aoV4NEd6AINBoRX4ckkTSG2h6/YjYCNo9Q7tjWVr1OLfY5KaLOtx46Qofu7NCdUmhZeQAaTVx4hNGrsdzerzCted3uPaCDo+97gzH5yV/dsc4cys1Ti0G+EpS9wR+JsOkO/45kWdSBcfksRXEBiIjGCTQjyE0FpIY4gipBmyZ6HHFTnc+rrskoVnVxHGdVjtgEPlEsZMicawcc6e2pJOPMiUi5+hEcYXFVsz+4/dNXXGN/9uvetWrlvv97mf+LjH5dwbwF17cz65tG9Uv/uZHLzhx9GCz11pmvKGJYktinM5z2UhX56Ek6MSiE/AU+DFUEkvdCHpK0tUBvcRjMaxyxxNjPPhij3ow4P96W4ttUzG7tvS46bI2WrgWMSGcXHFZSVcrndWzuPNpEdKihPNyLTHImBeOSh7fp7n90QYvnGgQxjUaWjFTtUzWLRM163zwpmZyTDM1Ltg0GbNlpsfmmWXufX7AH9y+gc3jmpkmNOuKZl3QqMVUgwEPHlD0Q41Xd6CyVhDGkopWXLWnxyPPjbvCp17CyqrHwkrA7MIEP/j2WU4tLPLI0zN4EhARBohjTRh5DEJJp6eZaFQYb9a5cU+X113R5TteP8++k4bPPVrh0X1VDhypEwvNYKDoRgolZF76AFngmeYErCE2FmsMnkgY80MqRNx4dYfdm/tsm474rrcMqPqSetUjDGu02o6tHUt7xInz3KNYESUZsFVqTUqifIUlLQyTtHttTh+5u1nXRy+46KrvUWdPHUo2b7vg6wfge198kW1bZvxHHnnsezc24v96qDOPpxXaOkAnuTWVAlsJVOpN68TiZSBPnF1VUYJaIugb6Cce/cSjm1RotxN+7WMT2Dhi40yfS3f0mRqLec8beuzYEBJFItXbEkrMnZa3IKVBSMEn7qny7OE6QmuOn6lxerZGpaoYCwTjdUuzYmhWoFEVjNUUzYZioqGZGofp8ZiNU322blglsSt84v4mvU6dC7dZmjVFoyZpVA2NSoznhXzxkQqDrsTb4LpFM4lSryreen2P+54ydAaSTi9htatZaWvOLda4ZHeD97xmlSdfqHF8qYGSBohSvewRJc5N6oeSTl/T6vg0qjXq1QGXbOtzw0V9Ts61OHZ2Be0lPHNE81d31xBKOXCPzh+0BjBgLVGYsHNjzPve0GO6mXDRTsvGKUhij0HYII5d11QcaaJEp3GQA3UcO7no3CyZx0cZc2f3wqoUSKk4daZNpen/10Q/0Z3YsPuDBw7sC/fsufjrA+Dnzp1iZWVhz/ETJ9//7DNPyHrVDdgxxqISx+BJYkmkQCtLbBxzuy/rghovsWmQIxzIjaWWPg+NYGAkg0QSGo/IwHynyd3PGiwJn37UjWzAmvSeZfFSiyyrSBQSqRRxpJFG42lJI4DdM5a6Z6gFhloAtUBQr0oaVSeHxhqSiSZMjcXMTAzYMtMmYZnf/OsKDzy3gfOnYKKWsndN0qjG1Koh9VqParVGoCRKphocJweiyKPfE/QGCe2BotM3tHvGtczVfU7NjvHqSwf82Htn+fW/0pxYCRDCYG2ESSxR7BFGkv7AlbE2epp6xadWrVALalSCiEY15JoLQ3wv4roLY77rti5axWkSyLiyiLIoTyWdMRIhJIGnAJ/+QLO4pNO6nSzmSeOeOIt/VAnIGZgzWeLKeONYEJsU4EkK8CzxllgefuQJeWlHvn/DUvf+MBw8/3eBzf/PAH/k/k8yPi6qR44cfPfJo4fFeNN3EXjsMocqsZjEEqsU5AkoI0ikRSsXrScJxMYBPUkfYyNKz216YCC27mehkcRWkhhNZAKS1PYq3/IspQAthNP7CipVS0VbKioh8CDQUPEt1UBQ9SW1qqRW0Q7gdcF4wzDZjJkaH7BhssOWDYv8we2Gj9yxke3jiumGoVlXNGqKeg1q1YRGNeLsouHw2YCK72QZpHLACPqhZvcmw6bpPqt9n17fpiwuWWlrGtUKjdo433XbHEfOnuMPP7MVLTUWQ2ISYmOJYs0gVPRCVxTVrUhqfU018KgGCa22izF8L8HTCZ6XoKVLoEmZ5M0jQqR1K2kFpwO5oGVk6kSlcU0a38RG5vFOFtjHRhLHgiRxbpZ7LwV1xtopoDOAF48Qxa6Y66FHnhI7dq2+e9v2XYc/9OG/6n3Pd73nlQX4nS9Yf8w/99PbgrM/rURfNmqS/sCd0DgR6DSTqEzhsypjMYnImTxJyG2qJGXyzLrKvOzE2iLNnj53Xq7IA6Wy5gbSTJ4LrLQ0LqhVzlnwlMDT1vnGWlAJJBVfUg0U1YqiUZU0apaxesJ4I2ayOWB6osuOjYs8emDAx+7ZwkQlYGPD0KwJB+6qpF4x1CsxjdqAR/fDM/tqXDBjU91bpM17A8V1F1ku3NHjsefH6Q5cCWqnp1OQe9QqVaqVcb7ttUs8c2COR/ZuAqswJnEXf2yJI5vXk/QGmlrfUq0oKr4h8D0CPyHQWUbYoJVBKeO2YJHW1ayk1ZsZLRTBuXDHN3OkTGa/lqzYRKaP7nXG3jmATQncKZjdv8+SceQlFWFkaXe7Mj525t9ff0Xin3dF8ItA+IoBvNPpyW6v9/Mf/MiH/805zvlaefgasC6gjFIJouKUjdNGhSSxGAU6ky7GpgfO5gFIGeAmt7IsJs3EZckKay2lzPvQipulqmVekZhmLBV4edGWy/4FvqISKKqBoFYVNKqWZi1hrB4z3hgwNdZjy8wyj+zv8fN/spETp8Y5b9owXoNmVVGvKuoVqFcSqpUI3+vT6luUVHjKImXxyTIgRLFPsxrRjQ3dgdufp9tPaHclraqi1g6oBA12bYr4he9t8R8+JHl470YsCmMNSWKIk5gwNoSRoh8qeoGkOlBUfEngWwJfEWiD5zm/XyvrAK5sXvdD2iwxRA9pat+mJGJNBvRyjiFL/WfOSCY7UoBnwE+y71wis6TsuRvi2NW8WAvnzp7xj5+o/uQVV7/PGwx6PxcE1b91Ov9vDfB+bxVrw188uPf+f1WJz1Ss8pAqndtB2piQ4MAtHVurxIHY5KDOMmkFyIu0OgVLG7DGklhRAnZxZwTgqexOA0snUZQUKOXsMp22onlaEvhuAFAlcCMZqoGlXjE0agnNWsRYI2Sy2WPLzAqP7OvyHz44zf4Tk+ycdA5Loyqp16Rj76qlVkmoVSKiJOTDdzaQSuGltmjO4DZjOo9/+uZlvvRESDsM6KYA7/QU7Y6iFWgqfkDgNbloe8x/+ueL/LsPCh56fiPGShLj0upR7ArNBqFhUHHlrkEgqHiCwHeZTV/bPGOrlUEqF/BLYZGyBPAi5QmkxxqXS8g+ewFskU8dKJJr5IDOVtwM1OXHOFvRY1cqEMeGKM2q+r7HA4+ereDd86/f+pbbxMrK6s+Mjzf/YQHeXdmPxdzYXXikOjPWJUw0SSLygyRiUMK5KHGCA7cSw6BOLEZlTO3eM6Zou3LMnT0KV0eRgTo78COfKwN4VoORZfIy9tY6qzuReJ509Ru+oBK4mSe1IKFedeBu1kPGmz1mxls8uq/Lz39gkheOT7NtQjBVL0mTiqZecfUr1UpMNQjxvAGnFyfwlGuxc7ZcEWQmaYC2ecISxxGrUYXewNIfGHr9hHZfUu0qKr6H71Xw9BgXb4v5T/9snp/9Y3jkxQ0pczpgRHGSMrlhEBgqoaTvq1yCeR54mrQ6U7pcgCSVKSDSx3Uw7uQKafyeFmyZVGoleTZUFKttDu5RYBc1QUlWA5NKrSSxRInJWwdPrPb49Bcfq05t2nWjkJK/7e1vBfA//NPbef9ferXvfM3v+mO1AYNmjU7PFT65zneBFNItgUlqFaqiii1RBVNnYM+BXJYh2fOcrW3B3C/x2aQoiqhk2t6WgVvJop7cyROoeBD4hmrFUg2cfq5VI5q1kPF6j+mJFk8c7PPv/miC547PsGVcMVM3jFUFjYqkVlHUqoJqxV0cLtUf8sheQafvU1GkF5nT4FkTQmIEUaypVxQ3Xdbm0ReadCMnU3qDhG5P0Q4Uga/wPT/Vz+Ncst3wy98/x0/9Pjy0dwORkUTGpM3SRQ/mwJcEvnHsndameOnF7e6kMqWQcTLN8q4H8iwpZBF59rOoaRFDBVyFpCRdrSlW6cTmZJbFW2Umz+pg2n04urDCf/q9v/bv+vA7aycO3N7dsecb//4BPjd7kpkN28b/+EN/9Xt/+jn52tddnuBrS6gN1socZFm2MpagFIW5r7Ivnl7xWhRsXWbvEqBNDuyiKZhUe+cnQ6RdnJLiIkvB7QAOKq0Y9LQrG/A9Q8VPC6yChGoqLxrVAWONHhONVZ4+NODf/dEEzxzbwKZxzUzNMFaFekVQrypqVUUtZ++EShDTqPW59xmflVaFiYkiTZ4BxqTaNEoUG6YUt72qw72PG9dFE5oSyCUVT1LxNJ720bqKlIZLtlt+6fvn+Knftzy0fwOR0URpBaAre3VMHkQyry70tUTrtAhLCpQWpcRbJudEkc4X2XoznBAavQ8BvSQpi9XYpiuWzWOorMAre68o9ErLdiMXgFb9kPfcMv/axx489sfb93zLDx06fGzlgvN3/f0C/PTps8zOzf+UTk5/+/ZxSRQ1sTjXxNMGhEwBbhzAsuVJFcuVMYJEMbzU5TIk1dzWDgeSo8ydIj3LyOXaW2YVdIXuzioGtcLVZ2iL51kC302KrfgJ1UpMrRJRrwxo1PpMjrV48sCAn/79aZ4+spEN4x4bagljNZuCO2XviqQaOPavBDG1ICQ2A9phgFASL2PwXIOnmtWkiZDIo+73XblAWGEiA3k/oes7Bg98mdbEZxvQWi7fZfnVH5rl//1dw0P7NhIZzSARhIlJWVxQiQyBZ/E917uq07hDK1cirKRMj0/alZ89lgqz8guzHOuMgDsnoRIxudr7dBVOCSxn7iETIbOPszyI+71agpKa+x82RNGJb39T/ZnDURj97N8rg587d4aNGzfv/POP/skVvc5ZxmuaQeSsJylt2qKf1pskFiUEsRQpgNMgUpWWsRTUicmW7fIBEyWmKLKStrxmZqxdDiqz5Tatc1FpMKW1xVMO2L62efVgxUtS3RxRrQyYaHYZq7d5ZG/Mz/zBNE8d2cjMmGammjBWsTRScFcrzk7MwF0NEip+TLMesveY5Z4n6/hS4imTBnGFR5Et31GiiI3m1msiLjivw+ETVWZqFI28g4RuP2VhrdDaS8scnHd92U745R9Y4Gd/33D/CzP0o6pLhsWWWlrDHXg4kOts9TJ5b6tUSb7CKSlKABclkJeWyTUgt8MAL4E7e29UdpbBXQZ5Xp+exl3Z+YsTyZFjp3n2mSev+M7v/N6dp06dOr5t27a/e4C3ls9RqY7tOnbokd8Yqyy9M/a7VANycEPmOVuUkcRCOHCVPFL3RV3WKrFiaEkbBXWZHdYwiOOWlMFHwC0sUlGqeUnnp6TM7WuD5xkCzxD4MRU/phKE1CoDJse6LLe73Pc8/PJHN/HsoWmmU3CPVy2NqqBeEblX7pwX49jbdwCvBgPCJKHfq1BR7iRJIYYq+bJEigs0tdPyesAgtPQiUQK4wfcTfE/jeRKtFEp6OcARcOVuwS//0DK/9ucxD+2b4kyrSb8uGU8sjdhSSScOBJ5Nvf/MSbE5e2dSJQN4/nnTDy3yY14KPNOTUqysNtfmQ2AvS5Yh+VLkNvIuI1NYwAAxrg79zGyHFw8uvPMr9zyc3HTdq/718RNnju3cseXvFuB2sJfIVm9Iuk+9u2KfY/NMJQeV+3ruxKmUraVKB1camwaVWZQtCt2dpvOtyRI2Npch64F7VBXmM1MoB0s2lSe2NBzIlcV62qRjJpIc3IGfgnuyw/xyj1/6cI3PPDzDQmeCmTHJTCUFd8Xp7loaWFYDSS2wKYM77V0JQiDkrqd9liOfqYChemzE8AqVJK75oRlo3nB1l0f2h7SjgLHIuC720OAPXK26r2XefK2kh5AuQYOFi7dLfv3HV/ncIz1+8QMbObUwQW9cM+4LGrGhFkMQOQvXV26gkZcFmlLkQXD2WA7UyxemEHmvyJBUyTqFihXXlrR5UXee2NJFkNvAtgTwErEBJK6jSAjBl+4/gAlm3h2r2oc7nd6xv1MGt3YZGL/Qdj/9Lye8O9k0o+mHEMeySALYIsWbDLF0+Y57L2VvW34cWu7EMGuXZUl6oDNmKWYVuucqA7iyaOmArZUDt6cTfC/B92IqfkTgRzSqPbTucu8zCX/8+Sa3P7CB0DTZ0BRMV5wscRZg5pOr9C5S5i6zd4TWAx58cZxuqNlcyz7PKINncYertKt4ihsv6REbB/BeJOhnbkjoRq55OrM4VQrEdHaMu9SZHhd8++s7NIIzfODzPe57cYpzUZVuRdKMLXVtHch1Gocom8YlNgV5dgxFUTsuQVKweFmylE9JzuAj5DQE9HIAmlu/JbdlCOAi99+NgcjAUtfnTz/7FDt37fqXP/ydtz11dm714OYNX90b/6oAP3DoOPv3fRyhZraY3hOvq4anmBrbyGrXsY+rw05BbRxrKyMwUuQAz4GfXQhZQFkOLCm0dgHskvVQtq+EHZEmNndtpDROniiT1nyn4FauFiPwInw/ouKF1Gp9fL/LR+/Q/MqfbuDw/CReUGFTQzAZJDQDSz2AetphXw1ctrOSJoRc/UqSrgROniysJnRCH18pfGnzAJPSV8nKC5K0ICmMPapen03jPVa6DXqRSMcyuFjB85LU5lOp3anSKQTlwNVVPr7zNR2uu3SeX/6zPh/54gxLcZ1u4FH3JE3tanACDb4ib4bQWdInXflkLlWKBFCZVMpixeb/YQjgZvS5KcBeZuoC2KJgdpvejSBKoBsLFgYCac9y4sQjr7v9jvaWs/OLB1tLJxib3PH/DeBRnLBx+lt2fenBF//gN//kHD/6TT7vubVHlCikNGkjqcQkIs2uyYKxy7UMpfeG9XbK4pTBXSp1Ld0EtmATWWqgyKfNWpR0MUHB3EkK8hhfO0kS+AMCr8ex2Zg//FydT90/xZHZCZo1j8kKTAQJjcCmqfcM3DIFt8yTQpVUewe+u3Ca9QGffFBz8HiVSjqBK28Xo0B5PsbBpsVJsebinfCN17X54y9M0alpmpEbqBOEadygDFpL534oSiD3SrTqVoUd05Kf+c4uV+w+xe/fPsmRc2MsxVW6nqauBLUU6L607sJJXaZ89csbU1ICoZArpJK0rMeLlZ7cvh3NNueMbIcNhozFc2BnmdG08aKfwGos6XQi3ve6Lt92y6Ocd/GNf6Brt77NxMtfVaq8LMA7vZBaxeNvvvz4tjvu23f+wQOrxEaiVYSnXZeJa0FTqc4uA1yWCnUyGVMu4sl6JUUpM1lyS9ITlmntHOSiALZIg1opM4Cb1DXJ2DvB07Hr3NExQTDA1wPaScj7P+7zgc9t4vTiOEZVmRxTTPqWMd9QS5m7lqfvZVqnkkqT1DvPwe277OUgCjl4KqATBkwEqYuTJZ0yVyL7rrZUkxJpmnXN7m0hKujTDhv0fEE1HbLjp/LKSyWKzlwPoV4ieFXMjHX5wXd2efet5/jA51b5w09MsdCr09MVKlpR04KqsgSxdWwunVTRsihvyLKca5i8dC6yk1UOPsvSsgxwk2ZEHaOTVoCmjyVgx6mzFhpBN4FOYiFJqPmWjWNz2P6T50eivm1i443HrI0R4qVh/LIAX1lewDbrM9umg4+fOvqMd+v1A67bYwgjjZYJVkkElkSYvE0skylZUY4Ds8ylih0BdmEBpq/XmckvSto7K++U+ezwMriNm6ciHbi1SvC9iIof4nshrX7Ig89KPnpHk0/cP0U/aeD7PlO+YNw31H1LLbDU/ALclUASBJIglSYuMZQ6EynAfc9lPo+etdz3RI0w8gjqdk2Amd0K798RQRgpPE9z23VtPvblDvtP1elV3LyXgWfxY/AigxcalHJzGp2MkMVwHwrtmpW01gLNxvEe/++3dblkx4CP3NHg8b1jzPfq9JWP52kqWlCVEMjURs3sVWnTjDQlkA8XZQ3ZiCVispTOZ4m51yaGxDDIbdoXmoJ7YKBnXB0THjy0v8k9z8Jkdb938TVv/bgIVl8VDjrzf2sG37ShIU+fPHzDuWMPjH3v2yMuO1+wa5NPGIFUCRrhmgikQaXgToxMdz0TQwFoDnDcc0YAnjF2SW4XUk9YJKSj3bLA0uTlnk53W7TKBgYluRzROqLViXjgecGffKHJHU+OsdRqIKsVGlXFuGdp+oaaZ6n5lqpPytqOuauBpOIrKr6g4pNW6JkU3IbAc/pb6QEHTsHpVsUlVlJ9O5w4KQDg+iDTclIjCUPNxqbgwu09njsR0408N6YhAj/EgU8lqUTJEjUgRzpzMuBkNmSUuPrw993W4y3XL/OVp9p86ItNHt/bZLFdoyV9Or7GVwJfCgLpGsG1dDPYlSguUiXSst/1AD5yGwo4GbaBzdBdFJrbCmILoYHQCiLrrENMAp5k35lJfu4Dk1y5WXDj4bvH3njba2+46KILv8DLDA96WYBH3dPBeH3wuxsbL9a3jnWYaEIYK7SMUcIgRIQ0qsTcEpUGm7kUSZ/nQWQJ6MPMzRpRV9RFOO1dLtCXqdZWaXeKkm4ilp+5GTJivh1z7xOazz/Q4DP3jTG3WkdUKngNj6aGMc918lQ9UtkBVV+kd5mWnKa62xcEGXtnANcxvh9T8UOsjbjryYDjZ6tMTwo8aVIdK4pG3xLbZeWnSSopegOPnRsFt13d5VMPh3Qij14kqHgWP3YsPohsaZVSuV+NkEMyxd0LwnFZU001GPC+1/d403WLfPr+Np97oMa9zzaYa9XoCZ+er9GeQguBJwWelHjCplLLIhGp5BopzBr5frmFOApwSpo7vcDjFNyxTaWJhSi1F4sOrRS/WjO7qng+TljsH69fdb393f1Hzl0C9P6nAb7YMnRM75/0lu8ev2D7fmyisSQoFSGFyQ+mkUkOcGtlDmqTHuTcQkSUDn7mkJRlSTmFY/Oj53SfLd1NagcahDS5HPF1RKUS0R8k7D8Nx84o/uLOMb7weJO55Tp4FXTTo6YkDc/S0IaqZ6l6UPEcuCuem0noykxl6S7Sn9sU5CYHue+59rTDZwzPHQ3A89Jl3pZS9MNpwbK7kOTNAG6c8+W7B1y6rcO+0zV6FUEtFgSRZaBIrT2TsnfmpmQWZKFVcp89tSKNUen0AY9+6FGtDvietw54x00rfOmJDn/55RrHzlTYd7pGuBIQB5q+1kiVjq4m/XtpwKmzIJRsFIVdy+a2WK0ygssZm2H9neQ/K6WyrQEbp+BOf5NJ6BjNsb7g1LllHnv2aaanqi/H0S8N8KWVlgijwY/97kcOjF+wIeG6C/pcuydCaYP2LTZyU6UcmFUOaGOdRMmsqxz0OaBLoB7xu8uMkAeXwiJxSQ0nSYwb/SATgsBNUo2ThHOLcOfdmsOnqtzzaJXTy1UOn6lDEKBqmopW1LWlro1zETxLoK2rJvRIQZzdZXpXKcBJNXcKbi8h8Bx7uwsr5Og87D1Ww5PD9mAuUSjqwQvrLItVsp5Gj0t39rhwQ5fnj8R0Y49GJBho8NOZgKoEcLchgBxicmDImchlUNY3mSiixGPg+TSrIf/0zQNec8Uqp5dXuesxnyMnA770ZI0zixWSnoeRmshXIFXqpLiufEma8WS4Hqj8pGwYFFZwpslt6rhk1lnG1knxSGq3RI7ihQdCW66+KOSG8wdcv/ue6Te9+f/+lz/y7Ud+VQbn2fVw/JIA/9OP3U4YJ/zFF/p0BzvZtWGFy3d2eN01PS7dHbJl0nDBrgjfCpJI5uBOkozJJSYFsR2aUZKlJ8SQJLFDzG1HmNsUUkQleEFClFiOnBQ8d0Rx56M1nj/q8+LRKquDgEEYgOejmh6BEtQU1LShWvKBA53VaWRls64uPEhlie8rfF+mF4AttLeXuMyi53R+xY+wJmR2STKwAVpLfGnRJZtttK4jA3mWO0jSHscw9hBoZiZDpOrTiTy6WjinIyoKxrQyQxlIWfh3kA07QuSxUNZalvVPeonKx090Bz6bJkJ2bIy45rwBvbDH/3W0xfPHfO58pMJzRyscOeFmC9pAYaUCIUlkKRs0lMwvvSwHVENZO1swc97Nn95N6Xlk0FjO3x2ydTLm4t0ht14dculOy6bJgDBq1+dOPvrtoH/1f4rB77v3Ls7Nt9RnvvS0mAngSK/BM0c1zx2q8KVH+4zpiB3bIi6/OOTN1w14w1Uh2BjPg2rdgpEOxEaSRAWLZzLFfffRsQUO0KTzSzxtQRiEtEShpdt3jH7slOTP7wjoRoqnX6xw6GTAQsdnkPigfVAeqqnwpaCqoKYsFYUbZ6bSwiPlWNv3hEt6lMHtSfxUlgQ+BD6pa+JS5p42+F6cZkQjqpWQueWEOx9q0GoHTIwJdBofZEVf6wVj2SqcB4RGMhgopqcUb7mpz5ce73GiVafnSSdTtBt350WZZ5167DJxdiHlWScy/xvG6tLfcED3E0WiFbGniBLttkrRMYEXUfcjXnN5zI2XDHjX6/ocOCl5Zq9HL1R85M4aR895ICTdniYJVd42ZTVFNqisyIcAngVbJn8tYoMw1m1CYC3VeoLnGYQ1vOHqAW++bsBlF4Xs3JYwpmCyrgijGsurTZZWGvSWTolIv0p95StfiW+77bavDeBCwOaZ5vs3jkVXNgND1Ze0jY+JE+Y7kvkk4uhSwkPPGT5+Z8LMRIy1hqv3RLzvjf28e35mzHDV5RH1ii12cLDDF3b5SGTDeVpdwTPPeiyuSqoVeHSvx2fvr9CPFP1IcfacjxGayHoY4YHWiECjpcRXgoq0VFJgB8oSKOtqwHXq+eqCuf2sLzMHt0p7NEXO3r5n8P2sQCvJ2dv3I5QKufspxacebqB87ey2If390gyeeeFJkjkein7f4x039/jMg6t85K4xOnGFeqrDvUyHR1lSxubdQkLIHGDuT8kh96LcMBwnklg7Jve0ItYaHSfpnkAJSrlB+hOVmJsvirnpoggrBrzn9V36kRvn9jf3Bzy216caCBZWFc8877PalalKEuue4SIJ4NL49YrhqldFTI8nrkY8sbzvjT2uujDCWpiZMEyOG7QTRMSxpjfwGQx8+qHHStvj4Onkygsuabwfyw9+TQxu7TlgY/PQ85+46FV72uoLz0S0wnSDKKHchHgtMdYwMIbZlmF2xV19B04YPnv3GFiDTSxjE4YbrgxpVF0J5bpWSflST12HlY7i8ed8VlsSqZWbiWK1YyahXQeF1CA1Uko8KRyYpSWQBl86IPgKfFXM6HMgL8Ykuz1+ZN54XAa3Y/i0rNbLGDwp3WMCHWFtyOkFn3BQIRiT+GnaW6VVeUNZTJGf31KMAkV3uiKMPCYaiu3TIb7o04sDerGgqt0QzKyGJEtoKVkub5X533J/Iwv6TZE9NSat7iykURwnad5ApfsfxURxgopcLkGrBCljtk2bdMUwXLKjT2i7SG1ptQSPP6dZ6UpUrliGg+oyyAWuorBesdx4ZcTYhMHG7t9XpUALUjtZYWJNaFQe6yVGIaSlGvSRapGHX2iquNq66F9877uaJ2eXVrdvnHx5gA+6SyDavzpde+j13/Dq5zixpPj5P94GKnAAFwK3HhmQmY5y9xhDK1uKlGV1xXL27nrpK64H7ky3FcubFQKTTegkrTkVTvsJIRFSplZWBuo07SxJN27NfOPSo0476RXp1nvk4HZtXQo/BbevyUtMHYOnLK4Nfpod9byIIIg4uWD4sy/VQft4UhQBZi5P1qmtLlln2ZBQBzZFkjiQf9dbenz63h4vzjboJB612G1K66oAbdGJo7KcAIVHLYoYx0khWSrwyu4mr4XRWuElbl6KlwJdySJp5urG0+fCpBZtghZOSkzXDN/wagMiSWUmILL9M16C0GwagxmFiXQelyWxILay5LiNOnASKQzNeptPPhDwwTtXONY98PrXvfr4r4ZR/MNflcEXT34Ri/Qr9ixW9phbrmNt4j6oUA5worzc2HWe4wSmsiReCdg5g4/me8WwfsuXWwfmrAVNCfBEOqxTOCmgJc6rVaQ1FenzrJBIU5qDkrF20VVfAFzmsiXwbd7S5vumNDgnxkvZ29cRUoYcPyeYX60gtCaQDMkTWf5apdO9JvFhyoGgIow9ppoDdm7qse/cgF6i6ScQJAIvsXhxqsNjcmcpzxlkJJT+xeyQu0m7Ni9ZLqSRQSeGREmUzrYvV2mxWoJUJl0pTGHNimIylns0iIFFpO/lBkGavyhymwWpFd1ZIi/TgMKIGLKQrRy6TNwIvoQtUwNq9DhwcIHf+fCX/SRZm+9ZA/Az555wf9TM8bmHAv7o9klC6YFUkNY+DF+JWW/kCIhfVo6UCVxQbl5ACCRFithNpXIg9kQK2lQCZM/z90ZAno2I0MptLqV1MQ/FgVu6Rz8DehZ8puDOun+0ySWKp50+9f2ImIjPPVhldr6KN6bwyzUcZQeFEUU6VKMhRoJARX/gJti+/ZYODz7bZzWu0NWaamwI03S6kkVBVFZwlm13nsKgBJiydZjOVLGkUw4E2ghiJdCJTHexc7U8cQr0IpmWBc8pi6cmgEitXJGV8ObgzkZRjAI8OwxFejcHeOau5bVJ2dGzeRWpBZJY873f0Gd+ZZZ7nhIcOxtS3r1jXYCfPvxXNGqNV3/ii3993ce/EPDlZ2foxg2E56OUdNbXWoS6PGmWrRw+jy+Zncy+cJblyxIHUoDC2WxZmliJ4rVKy2KHptSW2tO0HAZ2PgdF4foR1wN4FnBmultnssSmenu4ltz3Inwv5FzL8OShKmgfncoTXSpQyr6bGEG4O3G2YPK8dU/mnngUeVx9wYCp8R6t5RrdWFFT4MXuu6jEzX1UURngOJDnf0jmLJjbtMbmtUFGGTer2wgSJUmUIVGCOAV5uXhtGNw2B3gxcsLkJoEoAXs4CbRepVGpLLoMcIrPXQaMy6K6BGIlEPzkd/a59doTvHiqed3Mju969be87W0PfP97iy1RhgD+lactvj/4hnufGbvqrmcGDGhQraZ6N6tLGHUDSv//KMCzfzMK8LKZJNNMWBng5ZFrsgTsfEpVGeAis82y5mKRv/aUQOXdKwWws+Zbx96p5tbkejuzBB1jF+D28urECEHE7fcHPPh8AxlofCnc/O28grBooysq/kazmaMlxS7QTIyi1/e46bIe3/iaNn94e4MwCegkkkpiGcSli1qUZIqUKYuX/9RLMTkYLdM2MZGDO1ESpYxjdCnT0RKmVIps8urNrNDNgc4MFcNlwM40ea7Nv4bbMOCz/4j89whh08ysT8UPuPq8DuNj5qrprWe/wSbhA+XflQP8wOFTTE003vI7H77zO7/ySEytUmdcyzQda9Yss2U5/XJzSkZvObhLxoJMr/gMDDJ/btP96VPQyGGwK1WAXWcd9Mo9H2LxtBvGU8PgduMURpg77dn00/Y2T2cNB3HpHhES8Zd3NUlsgMqzl+UAs7QNOYV9V0QsKYtnddHG1dS7oZaKJNEIPN73hi4f/tyAFRPRSyr0EoEXk7O4lBYZi7zozNmFo1pUlqzJcg22INE2bytMlCHRro9WJ5JEWVTiKhhd9lgW4M4tSpvXCBWrSJago0ja5Xo8R89XRUqZHDNmL8IL93s7vQpK1tg52aVa7X/n2OZvuqe7evJLteb2YYAncUS/P7hAJ93zJ3SbqYmAOEmGanWHimiGrrivDdnlfFf2QQuGG668UyUGlGKt5swYO5s56Lp4RK7Fs9EIQ8NuUmBrJQonJbcDXce9a0y2KXMXAaYusXfghTx5SHLwTAWrPJSU+NKkMqosUYrlak1p6ZAGLxogsqRPkiii2OP8LRGXntfh4QNVIuXTiwUV6cZN61i4PUVF2oUTpzocicCMEFKpXLk0nqPoj8zcFVfv4sCdtrMpWwJ3Vgtk3bbheQkFaZBJugltCewMM/jXzOa2GAlqUybNgG5Lq15sJL1ewkbM+fWZ8II4Sr6U/Yoc4O3VFUwywJcDNo0LIuM6SrIZ3llxTDn6/ZqAXca4yD/qUH2GEAwzeP5YAstQIb4bCydLDJ51uuRMLosxbcX23ylzl4b/uG57cmDn2cqcuRN87RI7risowhLxV3fVWFysIgLtfPfyRThag1K6yMsWoTHDrDrkTRtFFGmmJyXvva3Nk4eaDJIKXeVTTZwWz8pZlSQFd7ZWmNQTzwpzAWQpcMsAYhmdSpWkwzSVSeMJ6aYB54klIYe1eGm2oRQyZ+684nBEh+cYEF8bZoYazvNVSBb1NbGkH2pabYuoG5pLy0RhP///c4A//MAX0UqysrDMzITPatd98EFk010aiqUtnzJVnLP1CDsnqzJjDz0vSZK8HJbhXcGGnYKi+7s8czAHeM7i2aBNidLDAPd1OgDIy7YOTDOc2uLlqXiTPk+G7lq5zp0Xj8PH72gwkD5KqjR7OXwhjmYw1zoIxQlc29rnGDxONEGiee+b+/zJF7o8e6RKpDy6UuInJnWPBDKx+aBRKSxCirzswd2y6s/hfYvKTJ4Y0LmF6HbeSNKSAJXYfFinykEtCuYudVUVpbQlgAvWavL1DsoQkko6PK+tKeKWzMMfhIpOX7O0qjj25BEefWZu6PdogINHTrFr99ba/V/8H7sHvT6nPMnAM8QJWGNznWxKB2VIH70EwnNJMvKc8hdmJBgbYcBsqc+AMzoOWZYYO98epTSHUGUMniZ5hsCdpe+9rDHZuJkheYtY1tMZp/cI5YUcPK1phz4oncoTO1Ieu3aFGnJRSnrYjnrh2YB5U2jxuie4aGufZw+GJCagZ3wqiavZ1qkGV8LN2HaJpcytMBS+l8lPTFHh6dIVOh9s6t5TBhLpAK/S3SmkKSYEqBJzl0GdPS+3FA6X044yeaHNy4S4PosPT7dNjKtmHcRuK/cwEpye7zO9ccPun/2JH6n96A//k261vt0B/NTpc8zOr755tjXxU8dOP0uUVHNGUNKxNu5iRJZmApaXj/WuwpdkbdYCYNR1yNPcojw7L5Umsszk6Zi2rEZalUCdP0+TPIrUC3fgdgAuhgJ5ZXlSZm+V9nX6IUttw//46waLvQoi8Jw8kXZoVSkG56xfkTHMTK5sNmennMGdoxLHmmZN8yPf0uYrTzZZHPiEUtOTEj/toSxGPmSroCiAIwxZGa3FpOA2WOSIsyJSBrf5LMcM7EqKlMGdJEpGAZ5Ls2JSbaa7c02en+9iTHPufH8VuVLEfsUkhti4u0nca98TTI31uPHqqZ9aXdz7QLfX+3TO4IcPHsAPPA4dWmB20UfrQopkwAKQJf340kvLiOZcD+DlAJNRcIvScrs+sF2QWcwflKoYP6ZKoNZSolNJonOAZ5rb5EGlp00Obk9n9RfD7O2pCN8P+Yu7PF44XAXpIaUkyEpjR2OGkl30ktWEJTYvxiYMB09ukyePy8/v8s7XrPInX6hgdEBP+gRS5EkfJQVRSR6MMrkoM3k2Drm0i4O1YBQo61YFY4UDd2bBGkjy+SluxcjaB4dGMEMO+LIeL86zLXCQseY6mFkP5cVndscJK4YuoLGqpL04x7PP7iOO3cYQGuC8bRW051MRPjJSHDoJ/YGb/GkpgbxkB9qX+Cy5trKsXY5EapaVmaYcZObaVaSWkxgaRiPT8WLqZQEuC4CrUg21TutSPHIp4qnCLfFKw4EKze3Y29NuatVyy/A3dzdYaAVQSd0TkdmDLy1RKPUxlvlgXdsuny+T7omTuI1UJ5qKb3p9l8882GexExAqTS+RqT0pUvcmO27psRoin2L6LxZMzubFsB2dOSsqfS7T1+n4a8feDuRJrsFFSaaIAuip/s7yHMUqXQa4LY6NSLGe/n+UvPC8UQSbXpwO5AKXta5WEjo9wf5jhj4CWdEMBk6S6bj7HCqY2rU6++CPLdafYXGxyx1PN4j7kqpfOlmS9QVSCcCZ1/uSzD30WgxJkgzsBWuLfKkfmpsnRQ5uWWbtVI+74e4Mgzvb2SBjblVi7jUMno2bKEZOaOUyl0ePCQ4cr2AIEFLnzblF9WA5fhAlV6P44uValILJRUmeiNzJyNvNEg1Wc/HOkPM391ncV8UmvmPxxMkUXXJxCtYsF3plzQWysHmtGWlIASOLATzl2EalQJfS6fOyo1Wcr+Egt0xUhWQRQ3JlDU6w2HJj8yjQSiSbDXkaDxJq1VW+9JTl7i+e5HvH9/zYO99689P3PHrgmD69YKhWw02HT0Rv+co9R/nKszMcPCvZ2gTfkO/QmzHr2j/6VSRJzmLraO4SqPOkTw7kjMkLXStHgJ0/KtJRwGUfvHxPt7RWZXCXQJ7uV++lpaEZe6v0tdYRSkV87uEGBxeq4BfyxBs50aO258uJ8OEho0XFnCnvbpaV0Yaa86ZD3n5Tl8derIHxiBOnxb0kHfKZDEslkYOr7HelILd2aEZN/lymz9PYy8js7kZey1SjS0H6Oj1npogDhHHnVspi8y0xAvQyyRU4cZ9ztJzDPbFDOHOyxDWXeDpm84YO73tTl9sfmuWC7de9pep1Ns2M94/pI2c9pic09z7T4Jf/bBvVSpWJwP2PhTYenRvNGqYeAvt6Dkrax4dYC/IhB6UM7FSijO7WMKTDlSg14ZbAndamFNt2sBbYuhgQlI940yYFeezkiYqo1kIe3q/49N11en0fahot0/KFcvXgSIBZvqjXBTgj+nvEMiz74lGsGWto3nVrny882OXR/T627tFLAnxBfqGpIUAVoGEE5OWqEBd8pheYcmyeSKfHjSQfeZ0FnCYNLqXJJKQdIab0XBpR+hxFTFAM9Rx1VTIFYNfBkfvsw8fWYtIRy71+hWsvMFx93ipTOxLq44apmkEnYUw0iBCJYdL3mGwIKtoQeEXaez12Wmv3lD/QyE4BI8AvvvBwYFm2BbN/k/cdliRKdldKpHOkC3AXIM/KZi1aFyOUdboJk1bDQPdytnZ3pVyA6fshUZjwhYdqvHiiBp6HkCoFVVafU5oA9RJVhEOOSpm1SYdWljKZJh+WJHNPPEk0Yai5ZEfMW2/p8MyxKoPYJ5EePaPwE0Y+iyiYkrUgtyOfBZVdbAajBCqzg6V7lLLIeuaxj3SumhACaZxEEmb0XK51ygpciCF9Pgz00WB0+Hdk5eSkXnirXWEQagKtaUaaJElcKfBf/tVn8bRicbnNro0irSIrfYERR6MAqlgX3C8XWOYnPZ1aOvzFC8Dns0RksRVJ9rqQJiWrMGfsDODF5NRcoqTM7Rjb5kyt88fiuZcGl1pFBH7I88cFX3qwRrfnQ91DiqxykJI9uE4WMz+JwwtuVotCFjSNTNYdSviUCrDCyKPRCHnrzQM+c2+fZ44EoH36RuKnWlwZUAklLxpEkrKiEG5OQzk9pwonRysK6SIdm2erSm4ZS+emJSbbuSLdUU+6DQ6GsTI8WVfkcxqHiW89h219LGVtjelxTrOxSSIIY0W37wE+K4Pn8YLjWJOgk8ESNpR4RMyMqzyzVf6DuU4uMXN5CR6VIi8VXA5prhHWzmRIAfRCc4v0eZaez1yVDNyyNDxS5wVXjq1VPh98BNzp3cum0KYF/lrF7q4jPC8itgm3P1DlvuerUNEgXUNzVl1ZDi4zxhYMH6OX0uHl3szcAsuby52jkhg5BPRB3+N1l3d5+6u7vHC8Qhx7WKHoCY2XkH8mkRQsXnyE9Zm8PONbqYy5HZu71wKZTgyWsvD7MzaX1smRIqtZWplNabahGSY1l+0Ua5ma0WB0BEum9N3ylSotd4g97EqIlC0sFj017iOEIAxBiSjfddaUM73rgFqMAHlIfowAfXiJKd7Prv4yqMvvO+2fAl0VmrxI05fuqgB3tqtDftfFJqgZoL0SqDPnxDkm7lGpCN+LePqY5ON3NQAfpIcQCi9P7ti8uGrIEcov5FywjQCMoaK1oaKrcglt4lr3XGpa5el7azXve0OPOx/q8/hhN0kgMopuIoo6ekGawhf5elF8ouKzWGsdi5eAnv1UpqA3Mt3Pp2Rn5kktmwWapXjNpMdhyNURQ8xetk+Hpa/NV/xRgsxWIQkkJZxlpBym24EjNFJpsBa9edpDSUGvD8J6tHsJMnRbutk8hbmWvYc0d0mGDAWSmTQZYfCX1uCZNTic1MmYPJ+TVwZ5ytbFZlOOtYsB+AW4h1i79Jg11mZSRakYz4uJkph7Hq3y3KGqa7aWLrj0hS1Nji0xuBwOmIfJexhatvQkL521w+noPNhMJEZl+8NrBqHHZef3ed0NjsV7iWPxgfDpG9BJKY+QZHZhKR1dSoyPDufJVhYlQSr3mZTFZT+tQFiXh7BWDIPbDEtZ56aUz7Et4pOR/EcZ9EPMnWOpCE6HWT2lDQNRIhiEguVVyyBO8gtbX3NRH60FSysJgwF0eimYrGv+LTSQHQKzKIN+SDsVc6SLpaaYz5dH02WfOAWxkCV5koN8pJqw5MFmG0xlrF0GeMHgJXCXhuLn7olKULoE8FSi+Dri4FnBh77QYBB5UPNSeULemqbKuwRnx0CUDv7LSRQ7DPSyTDHlXYXtelpcUw8k3/3WLrffV2f/aXfxJUbRTZSrMkxEPk8QYRFJql+T4ZXEZkAvMbhKi+mUFdhUo0tjsek5slIgU9kipRsFIkUK9gzgZTelJFfWBpx2Degz6GZzRYeC0ZKMyf5xuStqpZNwbDZhkNbI61u/4dUbn3n60L/97MPPMjdbJ4nc/1T2cN3vkWui3fyqGtVJuQ0khi6I4mdlSVJmb0obIRWgHi2ykqXaD5Wxtyo2nMq0+Ci4vSGgJ6XHkvZOg8vQxnzyrjpPH6y6dh+hUcJlLnVag11uLi4zVznif9nbkAYvV2uKdASeG0s9NAHLSIzRhH2Pqy/s8S1v6PBbH/XpGQ1GEwlJzwi8FHBC2FSPZ+dj2FnJHBTH5qlkkWCVSEEONs2W2qwWqQRuaQWiHFxm58+OAnxtTLdGyqZsneOo1CNR3i+okDclm1G6TQl2b4kYG5+jsfHmf9ucuvwH9J9/ujW+/zBv+/TdsH0qYbrpOl7WKxoaYu18+RgOEtYye+nnuQ4TwxdCztqkETlrQF5u5lWjQC9JkjJ7q3ynB5sD3VNrJUnxGOfD/Q+ckXzsKzXc/BXH3k57k7snUpRkUyrPytKkfOLyF7ksGda9WbFVsTkAxcjpDNhWYhJFolItnmi+7bYun7qnxt5THsgQKyT9xCMbNJWfwyTVH0lpRB52yA9Xtgg+JcXFJ0uP+V1kz12gaE3qj5s0QF1jIgw/N2tis3Viu5IuB9ZgUSBK9TCuUXzrBsu14yGi1nmbVcfH9cqSJBkoNjc0Va9g4VwiZIFg6ZeOau9hf1Os/7OXAHX+/KVqwHPAD+8jU2jwYebOwD4M7kKWqPS5UgZV8ruVcnetYhIV89kH6uw9WGhvIaQbWZF30LwEQzH6Wowo8JFuqEx/lwCVe+KliVQ63zUj88edVLnkggHveHWHwx8LCBMFQpMITU8IdJKNPc4CXVv6TLb0CYql3pLp7rQeJO2iydk8uwtbpPgFGGmdbZetHLI4NhnYZQnYQ5gaWv3LRFnCzhDoC0korTvgIh2Z1h9o5hammNR1KlUfraUbPDnecF3K2VbPMq1DGJYcBSNLmSnusu4sfxgxfJKHrmL3b0ZBIuV6AC9YO3uds3bK4roE7DLQ14I71dzZFifSoGU21MaB3fMijpxV/M4nm/SlAzdCl7rmsx7Rcg10malLIvLl1IktB3WpNMjr7Uu1KaXUfZJIYiVRRpEYTZx4BEnMD7+7w1/fU+PwGQ0qSqWKR0+4naZz+64cbI6APPPmM7swW2EMAoU71pZRBjdOi6dyIisTMFIgUmY3Q6xdwoQdBvi6wM6JcvjfQRHMuwvNfXYpoNOXYDwaU4qgKtGkH8DNBClqqAsXo7QH/Euwd1kjrXfVDT0frbgTL83cosTaWSIlA7fLYKZD8LPdFGQZ3KWgUqb3Ib+7dJdOnng6ZDU0/OFnmpyeC0A5eSKkLKzBkubOn4+eqFymlLeeehmg54DPGg/KPZpZCr9g77wZQiqSWLN1ZsD3v7PNL3/IpxW5qUfWSgZGOdswKVLjJILCNixAbrMPU/60aQIq64FU1qaZzdKjdawsM8KXBdhtWY6sWe3Wz3aPHsPRXEuhMEpKwxYJKmMl5PU1oL20MddP54RkrV/Du96uBS+lPzrsnJSDgOGAYiiNXVrOi4q0gm1USZrkjcaqKLJXoixJMqvQlLR4AWgnR0oSJd/qJM4ftYrQQcQnbg/4g79qMjCekydCIYXEF6xtKl4nLV8cj9KbLwFxWxBoySos6/Ph/Ufzzb3y5I/bCryiY37wPR0OHPf5wGedFgdFIiR943o3ZULO4EUBVnayCsa2FHaltU6X5+C2AmltahOSF2RJmYJLOJlSlM6mlYWl+vRRbT6EqSH8DB/TsoRZA/KsVj0N0oUVhJEgigU6jJ3nrZUbIZzVeWSe9LA2GmXwMqhL//alGG091h5qbBiu6cjAnXesZNJAFjpblVk7f38Y3KOsrVLXpHh0swaXluGvv1JjeZCB2wHck+l4OFE4N2tWncziLOE5h3WZFNfIk8IqHKrqyyYZGJlufW2G68SlkyrGaOJEM+YnvPuNXT71QI3FtgIZgVFEOD2eEUfuPgxdamW5kkkWkYNelZJCWX2KtA7MDtwpW8uiScYFmgWbr8VBAXaESDc5KGFpFF/rMH3CMJ5kArFKW/nSUdm6WdNEfbeNXRBoslEHo8FI+aqiLE3W00nlDzPyM7neYxkwI6wtZaG1pbBpan4tuFU+nKbwvofBXdqFrazHM+ekFnP73RUefa6KybS3THsuRSZPhutN8jkgZaYZ0uNfjcRT9ixZheXdgcstZbYcdFqJsoUvHice2sTceHnIN17f5c8+54MKQUisEAyMdmUODqbpRTgK6tLrlLmziqasyTzPj1hXs22ywFOINMjMgO5+VnZMZCmtvtbysxjKsmWkESJ/LAF/HdmS4alrYaUjkL5ET40rhFFMjimElMMp+lH6KeuhMlOVP+woe6/D5sUWgAWos/fzwG3EGixmcRQlqk6yWHQ+YqyQKWoI1Bmwk1SLpxJFxijpBr8fPiH50O0NzrV9t9+1dIPelaDYsWGdC3T4+4khwI8evjUShYK9h1yUcjPy6F6jpTpxJbNHt/3JxnrC93xjhweeCzg8K0FEgMIg6Qu3107xHexaArOjMsmmMkUUq41ME0DSusabkmWYsXZWYWizvyNcfXlZqpBJmBzkpRa7koQSJZTn760Dz/KKOAgTFpYTrDToiYbBRoaxBsSJqxIrFwHBCN5Lf2ANi5euNrnmyrL5+7n+HgF23rxaZvFRBpel/egzQJcCy2y/zLLezgLNXHfLxO0Up9wQzUFi+L2/aHLfk1XX2ya1095Suq4dUcxfWfNZRy/mESYvH7PyiVmbwSyqDPPgbah8tlxG69rNMrswSQyx1KhY87prQn7gfav8/O/5DGLpGlGNJE5dFVkqeCoXXYnEAdSOMLkbp+IkS+akWOHYWkqRv84uTCGsA7PIgkwHZNdiloI4NRBMesGNKgCyDHiOrQzYw2yRhzB5NabFGGh3YlqdBC+I0f2BIIpEvmd5nG+rMVzpNnobYvBR9s4/rF2XzctVZ0OMXgK2EOVucVPyv+2QRJGqkCX5ZrDpDL1Ch2fsnaT/Js4Z3PNj7nrc41P31RiEHlR1rr1z9i7p7pcriS3bhDnYS3Ju9OyUC5uKiU1lcJOmykvsbYt54tLIfH/SbCe1ai3m3a/rccd9Pe58XDnbEAlCEglNj1IWMQO3EAhTPtEFyItEZ6kuRWbqJSutTb3wLOljM41d8r7Lx6yU5bQj5FjgyBaQzj+vHT2ExfEy7u8niesl9rTbtUOrtNrO9ywIN5fO/aNiBgpfBeTFo30JoA8DuQzyvLZ3BPDDyR07zORD+rsYDJnLkRTc5bnWquSc6BTcvhex0rHc/kCN/WcrTpoIVxIrZOGcFBOk1rL2MNDtCKBfRp/k7EORUClLlCzQK2+mO+SmFOl7KRQySZBSEw00ezZFfONrOjy616cVpunXdN+kEEW2D4TEeeNxxuSi1AhRSu5kX6UsWWyJzY0tcibZ68zCs6W2NZsysUyX9wwPrAH3Ovh6iWNnsWnW12E2SSxhbN00tsSia0FCHCQEvgN4klgiIZCJm3A0VEJphz/AekDPPrAsP8++WBkY0g6BuXwBqJLuLgO6CDodsDP9LUu24ChzS1lm7yQHt6djDAl/+rkqf/DJBlZk0qTM3m4k23r+/HrdKkXwXQL5y7D3UCUfJXCnQzlt7oGPTr9KPXGbOivSBZzKGKLEQyrDD76ry6EzHn/wKU0UpyBPxyYPhESZbJBEAW6kKCpIIS22Sy1E6Zg8Y26ZsXl6TKxN61VKF76TLiJfrW0aKFprcwnj8FRqbaN4j5eZmVJo7hTYxhLH7nkYGfqhpReCXmhJBl2Jn9ZEDyJZAFcUhvlL3dZcdSUmX8viw13fayRKSXdn0qSsv+WoRFHFbsfrgVuVrEFZck2UjPD8iEPnJJ+6p06n40HV7QXp9oN0aXmdaf5yAFyWKOWVauR5BvKvxuFDG2SUwV5mb5nuEJ0+HwJ6dk8DTindTMNGPeZdt3b5wv1VDp1N06/pZk6JEPTKnzQrobXWBRspyFXqeaqyXBEFc7vXIvXCU+Dn4C5YWwh3gY6u4kUpRxZQZp+n9N7LHTscCSTGMXYYW8LIEkVQCwTjdYHevc3Q7wxY1itESYPZpYA4VsUHzi6zl4g0syDga9Xh5WCz0N7FZKTyMJkyaxfgNiWJMjygveyYyJI8yVg8S8lrHTOIDHc8UucrT6XVgiX2lgInTzInp5S4yE5gcSJGSobXCTC/2i1n8zxrOBLolxjcpluRDE3BSvV4IhQqMRihiAeaN14V8sYbe5z8vMfAOB2eWR0xmoFwckOa7FOUBPKohZh74CUmT12VLF9S1KUUhJABPTvXFlGqC7cjq18B6lFbev3jZoeOVxRb5lrQ6hrOtiReU6Mv2DO98tTTs194/kTvm3dukIRRlTgpBqtkgHw59i6D2smTkmk/8mXyAFMwNPIrA7YQdg1r5xahyiacjoC8FFwqmaRMngwFl1omSOU6daQfc+/jPr/ywTESo8FXhfYWMh/HllmDSg6vMuUET86D6wTcXxMFZcCgdM/tOlECdjE70GbsLUcSQKlUEcYNC/L9hJ/+3lX2n9Lc+5jE+E55Z1dgZBQ9Cncib06WWZVhKcMpHJPnGc480CzYXGbW4AjQRQZ0UsKzI+RAmcUzsJcP4Qi7iqEHSM+RryXKj7h2T59N24IveBO7V/TN7/3cbGzkLzaDzd986baI87ZIahVBed5dOZAc/hvlD1UGshgKOtcEmZTHfZVBX7w/uotAeV/IbHxvEWQOM7guB5cpe0sZ59bgyQXJ73+6wbHTAdSywFIX2jsNLqVYm9x5aQ+8OFaU388ANAr0ER1eMHmJLXOwZz44eVlqYrI+ySzTmabvpURmGc7IsHtLyA9+c4cjR32OL6cHXJSDTjnCkmnWcqh/010XNm1Vs6njUgSaJaCnwC0DXchUqjC64pVHuokhDL1ccFm+CLLjrnzJ+JjihisTXn2Vz8apB34xjB6Y1bun3fgqE0O/r+j0XW2K8ktAy0Fu1/lDw88LHzNluuyqHQW6LOuxdcCdB5gMyRKXzTSUt9UowF3a9q6UhncJHae/Ez/hQ58Z49N317EVt7FWVjEoRFFUpaUd7m8cAfkaeZJBeb0TM/LeaC4tB7pxrsMwixdLcLnDx8pCplg5MmZCKKQxCKGRvYR3v77Hi0c8fvWPNGEQk2+/LQTWeIT5p8++RxncRYVh5oPr1Osr2L30mJ5fK0QafA4DXabSYNReLfo0h5l5hFeHsJavotKN6qsGiqpXY26xSaujMAb0zo0q/aLO7634Ii9gyrKDa/7w0LkbvtqG0/XFFZqBejjQKEuU4YmlUoyytylp8WJTpJzBU3Crkt6WqeaWKdilSvjKYwEf/HydfpJOwRfZ3W1imtecDAWWo8Mk1zooa4LqNSfmJfmIvOa63DpWsgvLJbQ2B3SqwaVI2VymbC6x0vniRhgSowk8w/e+vcNDz/jc+VQDK2IybxwpMFYzSPstXYA5DPJMomTPEc7qU8YWwM4y+5lbkiZ3spr/csXhKINnafghy/AlyKEAuU3/rvupUpZBaDgzL4mMT7WinU24daNGCEEcg0kSqoF1+0Rq4+o+RMmqEeuentIHKadehyXKMEBGgU0B8JIHLl9Clgw/JiNMngzXeMs0Ja8jugP4xT8e48jpAKtL7J363q6hgXRbkLXMPTQaovyc8kkZ0XEvI8hHk2hDaXvKxVfDY9aGalPy7GYqU4QiMdkKahBGI8OE87bG/Nw/b/HQTwa0++lJMcWJNSgHcuVqudPMTX7hZUhUWUsbmS4vpEkZ6CJL/uTkINLX6xdfZZZgmShfKsS0Q3MXLcamKVcS4tgwiGM8z606evvWSaRS9Lpt2q0egS/yLvTMxhs9AS9FRMWHs2uuUjnyXpHNzHYGKIF69LEE6HJwKfPMZJnFUwdFlbS3jogT+O1PNHhqX6XwvLN7WnPiCVtqRyvswVGdvWZ4TY7wosm6OCu2dIrKz4u3yi5KIU+KxIoDs11bbShSRhcl+zCbTiuzykNFIjTSWK6+OOJHvrXFb/zFOGEigbj4EkaQSEU/ySBV9sUd/bpZnQ7wmZNCCnQHcJvrcmEyuVLIFlEC+noxTN74n0v/9cFmSz/LMuBxYohjS08aao0JqrUGcZKgb3nNW/CDOqdPPMcLT32eSqBzwA0xjc282eJEDC8ZZdIqe51F7YEDegZsEOk+i6O7BJSBLUWWjk+f58HlsBWY24DK5EVUSqZNxJWELz8S8IFPNGj1PJfBKQWWRTtakbUs9N1o5eNa/VgsqwXj5Jp8tIJivfqecsKnZA0O6/CRTh9ZDOp0borAJBIjrLsnjs1dMkiTxIZmxfB97+nyxAsBdzysoCYYolULCQo3eTiVTjKTJsJlItNg03ngpWAzrWOxxuYAzlhdlB6LofjpMczcSVEqNS4WjHWJoFxinCdaU6ctiSPe/varueHaK2mtttHVqsD3FWMNy8xED6kC9zdGin0Sk20iKlLQr1k4hkBN+QsNAbtst5XclBHWdh+4tCejNGktuCkFmSPgLt2ldOwtdcy+Y5rf+XiTQ4teuu+9A3auvdew93rBpR2WJ2UWQrCGuF9CO+bydsQaLPzcQovnjRAle85Y8ibgQrIUUsVaU7B4JlmEQUiFjAznTyb88HvbHDunOXhaYPWIyJKC2KTJvjKDU/jjSpLO0XdBscrqlmTB5qIkW8oAl7IUdGZEmCaBRutSyixQLkozNkvPF5ne7FP2+oZ+pEB6WDx0xU9QXkKjGrJhskNiLTbbKyaRRLF7FIlbEkWZYUrnbG0til3nii32VCwCT1sEczlrF86JFOWNR18a3Pn20jLOpYkfxJxrCX7xj5p86q4a1tOuDU14JfYWJe1dmncyFFyuveerVuk1oyeoHLuMSr2vwuhFAzKl9jAxzORWIGw2Clmm9RhupzMjsucSITQmscRYPGl49+t7tAaSn/p1xeyKgKDE5AiQegjkIgW5FYWrQgrg7H1nHxaBpiwFqDL9fhl21q3hyfNML1GcBnm1oLGu8jU2ECUQG0GSuP7R5VXBat9tbzJIBFopgdbBOd83X5qaqr8lDlsYq4kiRT/0GITaXRFWEZNeuemXGo09y/UEawG+PrDL2rvM4qosUXL9Pbxv+pDmlkULmkxrTUIMn32wzpcfqzndrVSuuYfZO8taDs8bfEnPe+T5ENhHCbssv9ecsbWAXpuyLzG7LVmI2azArAlCCISQaULIYIxASomxyiWDpESkFYeBtrz5+j7veHWXD39eEsbpQSDTFQDDICcd/IMpXBWV6nKVMr0aCTRNZhWWSC4HvGXtSpjixS0Wo7GKzVew2DiA92NBPxJ0IkE/EYSRYXpyhhD1pUo1OEerh640L6d16veOSVH9H+MTk29hsB9LhSiq0Oo0WLZV4kTmYwFsae0os9QQqEl1NV8DyEvuiVgTYJph5s5lS1FIJUesQSUc0GNh+Mw9VX71j5ucWvCKbKUoAkuRntfyIM38863TllacCDEsV3KSFsPB9hpEizVAX88Tp9QTmdU5l3W4SbOaMt+vRhZ9kcYB3Qi3g7EUBiPSDGean4gGhu1TET/1z1ZpdSWfvq9OlKQHoLSt5ijIA1MEnhl7I20uVxDONcn8cgF5YJpJliE9nrJ6TiS2RBSZXz4iU7KZMbGFMIaFnmC+Z4nNgKQ34KorzmO5G/6P3/yzu479xk+91+3R8xd3GXw/4egJxZFjTYQMOG9TyLtu7uGpgC5pJq0E6iHmyi2eNHgcAfboNs/r6W7xEsAuXBSTvx6WJc7nljLOdbfnJRxdkHzgk3X2Hw6gnlqCopzYWcve5Q754YIqO8zaJWZnPf92RLaI0nHKjtwooecFVpgRR2WUvbNgP6uDzhoKCj0uy5WHKXMLAYmwCGswRhENDBefH/G939Lmsed9js1nSQpKIHffKM7sRJE1ODgZktuIKWFl0sSa4ngWyR9RclVGpF+J0SUljT5iOmUvs/MSJgK/FvLDb53lwk0Dur2Q3bum2bp1jCjq8xukm1A1p29grFHj8f0VPnPfClJKPD1g+3SHy3ZowijbUmOYk0Z30ZJiPWBnr9cJMIfcFDuktUWp5iTX17kGL8A9HGBGaB2z1Bb81oeb3PNUJa0SzFjbed4IiRxh77LmLgeUQ6AvM/boY+mqfwkJueaWK5SSVClLlCGQp6B20sN1w5h0fFrG3FJm9mGhw03ag5jtRGyEIklfJ13L668a8OPftcp/+mPJcrfE3laUttnUDuSpzs5ZvMTmKrMPc1C7z6koJIscAbsYBXrp3+Ugz66zEsGAW5ArnuXyC0J+/B0GJepYqkxv3UN96hpM0oEM4JdduJ0rLth0x91fvvtXXnNR9acGgwFC1Th1psGYL9B6RFqskR3ry5ByCn5diTLK2kMyxZQ0uCmkSB5MliSJSPLgsi8sv/fJBn/0iQbtxHMtW5ljUgostRyuGMy1d2ls3PDFmoG5YOyhGp1sJcu36/sakZ5ZB/mwHZHrzfWZvMzoRd+mTJ0TIWwB9qH3bAp8dzdWkcSWhhfxA+9pM7uo+O8fbtIrJX8cm4shkNsU5H4K6MxJgdQ+TAnDyuJ1pr1z2ZLLklTSlTPE6QJSOsTu/ysdf60h8GCsLtg90eS5g03A4nk+G/rmV67fdu0dpn8SSLuRfue3fg3tVaOKji6sB8k3NYKEbTM+9aqHVHI4mCr9sXKZq8zqpodKW7PmhfXKXkujH9RoEifNTIpShjIFtxClmpNyplIl4BmeO+Tznz84xom5IAV3OanjZgxKIahI8IVNZw2mtSelsXD5vQT68q4SxWyU7PV6+3hmo6CzXSrKG2kVuj5rsi7Ph8lnNGbjKPK4ZYRUSqvI8KTb0upZqg3K5VLGhtZS8Q0bJhIeeN5jdl66YHI0ahaO2vNxEmV5lr5XPBf5/1Iev1++pod8bDFS5WTXwVp6XFS6PWTgC5pVQdX3afcCWh1Jp99gaVV9+MnHH3jw+pu/oWBwgG999zsIggqPP/4QL77wFPWqIvAdk8Sx212hWC4Kb3vIASnp6rLuzpk7T8ubIrAss3gqTUYZfNgGLAeXWXlsjPISnj3i8yO/MsFzBwOsV07mFPUm5LagXcveQ8ydnrDSOLk10kQMnzpR1ihD5/TlqbxcQVg+yflItyEGzwJM64qzRMH+LsB0F5JJ68ZFyuDSOhZ3lpzT5SYDf2i58oKI9//UCj/wnwXPHUr1W+bvQUmuKBKk6xdNGd4KN67NmCJR5vzwsg5PC8lKQaXN/oQp2DzX56XjUFyQKXmolLsEdPsxyYIFYq6//kpuueUW+v0+8BPDAN+wYRzfr7F9k0/UChFC0O275TYbACll0bNXLN/DelpKMwz2deWKLYE81eAlYItycCnMGnAXgI9dKt5LaFvJ736yxtMvBCS65JjkgaVDqhLphFhRLqgqSnfLAaYUdqj1btQHzxhs1BsvD2wTL4Pt0VLZnN1sRiFlcDMiYZybItKAUubzDYdT+S5bKHLwi8wbx5IIlf4NgxaWqy8d8C/e1eGnf8OjHQvwysAefm6RhKnvbaTANzYXzFkqHwQGijpy0lmFZX/cFmXGZf9clo9FKeeSTVvLLoJ+aFlajeh0Iy67UjM2NoFUvfy45gCvBArP9w5NT4vDvVZ4/uJyRNQZA9Li9nzZGCmYKkmO9fxtMcLSOehHXmdBpBjyvzPnpLADi+dpKt6L6RrBBz5V5+NfrjNQWSCpCr9bKiDV3qLUZylGPe9hJ2U4W+neLLskZaAPgVlkUF27PL8skwPZNttl31emJ7h4Xk78FF34GdiFJX0u3Txv42xDYdNmg5TVhbEO7NYVaPmx5b1v7LL3uOYDn2zQiXAH62VAHlFYgUZatCnYuwgsndOjTGYTZoVXI/rclNg+LQsg/c7lrGImDXWahW2HEaH2SFRw2PP8Q1KG+TFV2ZNf+uX/xp5rbjx8rhVs+OLDi7e+sH8VLSv4nkz3mqTYhq80zTUHt0xHO5RKXLPBPEMXwagOlxapym5J6nsPtZyN+t6xCy51QicS/PHf1PnPfzTO7JLnPmhpKmzx3NV6B7IYBZFp77LeXqu5U+0nR3aeSw+yLOtvUd4VbngE3roaPLtQyq9Lj8VzMSKTigpMUbo4yxdkkaCy+f+Tv86CZYoETHYbayZce2nIalfwwmHtkkDlqzq/posw0JI5i4VEcyUHZa3hVhZRwmpZr5cvcpH//lKwmR5ft4uHwPNc/ff0pMer9nT5pjfWufGaHb+92tr3hxfuefVaBgc4Pj9GtVr53InTzXeqfvuqjeMwnuZYh8Y1qHJFX6lmJJMgJXZeT6YUOr2kxUs+tyzLEpEMPRYsniArlk9/rsYv/WGTc8vaCTNZliU6R8qoLbi2JHakalCWak+Gz93arOWwEF/73tdA3cODOCkswyw1SHmpzupTSo/rlNXK1DKU1hZsbqWz9khdFWNJnJmHwBKFls0TCf/2+1ZZXJV85PYGVGxhb6SOSfFcYZHE6WzwRAh8nBa3ZE5KsTpa3AqjpM1/hdPnbnvaTJpI46zHPMeSuN+Rz2zEafLAE2yfaXLR5vrTF+zyPscgGTq0qvziK3/zIW644rwTm8btDWM1c81YDRo1tzVEJa0R97xipwSVzwC0aVc7pQIp1mVt13FT7sgZre8ufl6k5pOU1V3TghQJumI4dFrzyx8Y46l9gTNGZdnzLtWbSBdYOvYu9pcf3udyhLFF8bzYZblg1UwH5kwuQEqZXhwiZ/OvxuDF7xiOAYYZvMT0I7ZadsFllXiiFKStmwovvc/o8/S1NZaxMUO1YnnoWY+lZVlCykhkBkO4KAAAMbZJREFUXaKB8sDOsjOSSa+M7ckvJ1FcuHkGafj/EyX555hc5KurTt2pOAlY7ozd/swzc7991c0/NATwIQYHuPrK3QghOXv6EDZZpV6Fiu8ynb5n8HSSb4Gt5HCd9nAx1XCSR4iR4DMPRm0pqExKbopBiSRndpUCW4kE5RsOn9H8+/ePc9cTFQjKwB7JWpbYu7yvTpaWL2cui+V9xPsundM1IBmqvFpL3GX2zzL1WfCUn/y1hF7S46XZNDYjzrQ/UxTZzUyD5+xdSvdnPxMmdViMcH69sOm+8u4cmdRdAYvpW267ts8v/EiLf/f+MY6c9V3QmbF36jAVn1gBEpPqcmNcLYoRjs1NKuUV6e5sucOSyi9bmjWTrgZKFvFF4R26ZodM0lob4Qd1tu7cmia1hm9rAP6G178eKVX46AMrzM8uU/EtgW8I/IQgBbguTZAasvhGnJVRWbLWdTElsJv1wZ0+lzJ2APcMx+Y0/+F3x/j4HTVCkW5Ovw6wSQ+eJ0pd8hTSREHuK2fB5ZqZ3+sBXQxhdogBcw8lvwCG2bOM6uHiqmKXh+zflF2EIvjM/n2R6BneAqWYUJsHk6kmzqxDrHQBp5FDUkWgyDIxsbFUdMz73tQlMfDvfnuM43NBAfKXujpxwWecXgdJ+t0MpWH5Ih1XUcpkSpHt1pYOf8o+s6AYk2GdjMm+uzGGQWjZsXuK17z2DWEcx18d4BMTk3hB4ye3b99xqQmPv17YNoFvCbwETyd513q5R3IokTAKZlgX3KLse6fMXaTsk5J7klqDIkFpw/F5zU//9zE+cWeNUKY7v4qXuONsQS3cF83lSNkxKbkkQ8mTMluX7jlZj7wpSqc3p+r/iZtIXbahBEj+O9Y2IA/dKWc4i6Ks8oXz/2/vy+PkqK5zv3tvLb1Mz/TMaGakkUa7hDYQEphNbGK1jXFIwHYW7CT+OYlDgk0cG5v4+QX7hzfIi7fY2E7wxo+XhwE/DA4x4NgsMvtmkJEQElpA62j2mV6q6t77/rj3Vt2q7hkJIRA47/zU6u5aerqrvjr1ne+ce26ssmjQm/4qRINdvVa3CLNnFKlZof/wvCocBlz1jTbs2O8ldCWWBu3aRy09SgpBCEIC7cUJOAEcSFWfRZQkSGNd3NxNSZxAjfRyJggiCjhCIhJENYnVjX462gqYPXvO/bP7Zl45PDJ2YIB7uRI2PveLMdfPbSrkyalMBsz3ZMpzU003Up7akg9hgdp+naIkFnWhpFEWJBbAGeEgjGP3EMOnv9mKn/yigIBNBu6EzJoGPkm9iUzXlejCsFRLOdtrW2BOaeGW0m1vY5IRrya+tC+LLGe1Bzok+nhjwZVNRagwvbuJTu5oL25TFTPA2HhyC+QK4ExRAQlEUQRHClxydhURJ/jkN9qwZ8hVLtaYmlbBeug7gc58Gm+uHgrADKrvoak7iafKQRJHACrQJASgXMdMXN2Ng4jAZRLlssuLhcKm235679glF513YIAnX3r0suld5G1RrX6s50apZIwZLR8/69OSraBDgwc3NEbEHjxRVWxwW8VUhIMygcgl+Lc7W3DrPdpz0yk8tymFpenWxwyGf1uUJENBYIObJoA2vynlvZvClEyxfmp0Z1tWNyZ/ECsnSHlsQ2OkBXyT3JENCosUVPF3QSCJykqaEFFNSyIBXV4LykCEhMMF3nNeBZu2Ofjy90tqbEDcmXOqH6ZaVAipvDkn5jyou6vh4+YOpo5zcvDSATKJ4ycGibxL0YXic/1D45d1d7Q0/QZNAb7k6HOw76UbOEpzZDT6IiipIucB9VD35DCnOyVbNVocW1sXBTHyIBJpMAZ7nMU0yokCNxyCex/K4eZ7C6hTZkkOzTx3hprY3tsoFuaAxQkps2wSemJfAGiyPMZzs1N0UNhOL7Pu+HZG0x4FYZxmOtun6QiM3kwsoJvRWDoZJKjq/yNU0CagPD20R5dCJWJgBaEeJN53bgVPbHRwz8MFJYzQqX6Z8tWG00gQcFgxqkRMS2x6hmbHBCrugJDgoYTvCpQiBwsWzpVb99X5ZR/8g4MHOACUp58NwSdu3j702OL/WDdRPHlpFQt7gbyviuCVnkogVAGBinRlo3CfdOqXKU+eqCc25eEpcDNHgDjAz9blcOXXW7Fhm690vlSm0spYElWgQLTntgcyGO9t917JBpDNPHozHp4APVFQUplNaf/+qcEdvyaTLM9yba17xyddmoAzmYCJGIUl1sc1YCF0ut4MPzQ0RX0QERTmkgLVQSiVEJKpuejBsWJ+iH++YhSfYMBd6woav81+pUBC1g3YKWw50ZSd2/FHAnL71mRa7XIUvQDL5lWwekkd+0aOwWUfOA8538N1n2p+jCcFuFeYK+/4+Y+/vm/wtMuuvenB4sqZQ/inK/dgxeIqgnEXYcBUcxlrejs1MWh6oolGgCceWz3z2HMTHWAaWkIc4I4H8/iHb7ZiwzYvA27tGWyQ69oQk45PiqgsT52SAzODGjKqRwzjFH0hBtNNqQixlh3QizcUV2VoSWobEqfv7VJayCSZAqOoSMTjI42nF1LnLmUC7uzYThN0CgN4648RI8EFwNK5Ib78t6OgBPjZAwUr0LR/mOXa4/ZWMuF9MvEIyW+Nf5B+RIDk6hEKYIJj7lHj+OxlI1jU2YL9fPFIT0fLv7hublKuNDkHB9A7/Xi0FEZx7qoNcOkwBkaA23/lYFlfhMVz6uABQxC64NwBp0yBXPe8M14m6XyVATgV6sYY16AYDdzQEuCOdQrcv93i6UROhpZQZnluJY8kvQWlUk4IUgMaDP4MsJvWnTSRCFMgtp5J5n0McgCTHvUDgT6WEYk1PYjNUJpNOZiWCY2sRqQlJZr1+s5LYBQVfQcW1PotEsJyVdwMdoAECQRWzAvxhb8ZhZTAf8Se3PwGoc9P5kcZkJsGoPHDDkI0oGUEiAgI1WPR3ADL+wIMTkhs3VlAZXgRTj396BEa7fn3Qmn+pIdzSoDPmdlTHy2MfviKS6fd0pF/uvjLp3x8+voyls6PMHdWHZeeO4FTj6kr0HIXHAwCOmFgoYLoH6ca4VuFVeZh+LZO2cMhuOuhHK76Riue32aBGxnObdqPWapJmncnykkycj/t0ZtWAzZw63QQmi3LaEju6R2m9ODS+vCGKyEpk4UBNGTaa6fkQdv7W1MAynSAqRQVkXhyQ2nMOh1gmkItSIBoLh7PQS+lSgYFHEfPC/Hly0chJPCfD+UTj2GQHRdmZSMN7clTrUc0uAUHZAjwCA4PcOqxE7j03AnMmxVh2fwIn/pWK774nRm45Pz5E/OWsg+v7u2tT3WYpwR4ubVfdHbMeTyYsWb0V7/8VfG6W7uwZ7yIfb+N8MBv6nh0fR5fu2IAZ6wM9Ukhuk2uda9NFdxLLctxSznhCcApIBjBzx/J4RNfa8WGrVnPbZpG0rTn1qqJox+GFjZtmokmHjouSGoEuw3m9MzFGd5NzBaptwc2iXgkOgyQzaosFYkVakstMZ8R05JssyAZVxjGQIehKFpGhCqxsNtQmMBUKNQrXyKFqkw03z3gWD43xHUfGYWUBPc+nAM3njoVLTajLxkaY6gJOCAiMBHgjNVj+NoVI1g8CwhDH4z6+OgfcOweqGHt2jWjXT1zHn/2hQGBKYxOtdLxukFoef/6rfySh7ZcEO7c24qezjy8fAu4X8SGHS34yFc7sOUVCodFiVKigZ0GN2KOberBSQrcqmj+l0/4+Ng/t2LD9kloCVEp4XSAmWQm7cCywXvDoilkiocBt613W/y8gXc3vMgsyCxv0LyzK5ssT2UxUzQmJa6kEz1NXqvJxZIZlJMGQgkn50LN3mPPBZRkQlk86ZUQDCIgWDYnxFf+bgRnvq0GJgx/FpZH1q+lUcOt4DH17fUPEAIL+6r4+hXDOGomQbVawOh4K3btnYaOYgnXfuS4cMGM8Uv6ZpT2983smtJ/TAlwQgp4av0OlMvLd648atVLZ68oYV5bhKJLAOZBenlseaWI2+4vgOsSL3Og7NtPwr1FDG4Fap2xZIBgFPc+7uPy69qwabunVP1m4J4koWOa91Ak3tsUTDWoJc04N7GYYWZ5StpuEoSCJN69ga4cpF4YAzcDYBvsKZCntk8HjGngWvq5neGMt6UpcJtlUuhnLRzEoM6CnFPIgGDx7BD/8vERnH1CDYyLDLC1OGhAHgPdPkiJyuISgYvPqGBeL0G1nkMYuajVfezY04rNuxZh5qyTXlq+5Kid4cRL6Gj1Dh3gAMAYw6b1j2zvLPK/eM87V2DNMRx93RVAAtTJIyJF3PFQAUHEwIWjZ9+lsWyY/ASrDJaYDKUA8ySEQ/Bfj+dwxf9qw6aXPcisWpLy1vZyBSqGDPeGzqGRyb13SvvOAtoANQPsLF5T9SUZTn6oJjNvkj6FNtJJvEwI0kBpUh4dJO4lGANbpDtkpTrVpry1fREYtcwCubVc1gkW94X46sdGsPaEGiiXqu2U7cljcdACNyGWaKDq912H4cJTQoDnUQ9yoFTi5f0h7n2cYai+Ejv3OX9x/wPPbCeU4UDmHGiDY5fNQq1Whe/ndu/Y4jw4t/Ph0/rrI9j4SjfachR1J4eFfRRhUETIfUhBkwQOFVYa3+jfhpYIUF9ix4CDh5/xcPV3Sti03YP0bO+cfRi1xLxH7L2dDDVp8Mi290bGUyPjqTMe2ZK7U8CPL4QpgE0wOd6znjm7LkmiWf3DDWePBVhLZTHqTTbLqbVz1QZOZjy8TEmGSk9XzilO+FBdt21aRUhdpCXV0Dch9HENBZbMCfH1j43gH78r8OjTPnYMADBONh6hrzk40a+JEiUoAQhjkFxg4/Yc+jqLqAU5tBQqeHKzwMMvFrDmzPkPrlx18u6JahVuoXBAgB/4EgBwzTWfxwcuPWuw2OKPPbKh/t4f370XbV4efW0CszoI3rNWoKMlh5C7kJJqMNgjfWSqlwmlHMwHNu1y8YXvlvC1/9OCHXtdSJc1AfRkD1VXbaiJaw8gjlP0MhmpQxMVJaEuJumTrss2Nd62dm7eJ/Xa+oSQ7DO1RsObmnBYr0mKJsVypU2nMu/jbaj5nGTQN6FWNjBFxWRqXwAqixxfqDJFweKLMSuNZi/8zB0udV0TgHBgWgfHGccFmD6dY+NmB4ND+sQQa0eSqGKEUngMaHEkWl2g6DHUaznM7GxDpZYH5w46SxWsOnY1Su0LP751+5Z1Ry1YcDDQPbAHNzYUzgNF6XH4we0nLate1L97G8otDqa1OeD1HuzaX0G5pYZCvg4jBSrOBRAkSRxKBFgO2LzLweeuL+G2e/OoCapbq00FbpumqJOZoiZAKqBsJgNOVQKb1bvTPNvy9Ppdlm/Hz5l9DmiWXChT7wkM4ZZ6md1WOZ60NdNOz6YitmePvThp1MvjAcGSKqUk9uZWY0/z4UJlgYXQvlGPtKBQNeAgAI0Eeto5Ln1nBb4n8dlvtmLLLgA5AqWS0KSORV/IBSrR6kiUPIn2goQr2/DcZg9dZYH+nIuFCxbh+GOW355rm/k4MHqwsD14gB+/bDa2bn1l+x9dcNJHg4EX2AZ34ELBQ3SWXXAuUKm5yPsRPDeC61CY+uWkijAZrLBlp4urv13Cbb8ooEaYysykAJx9bQ13yVIT2AOIM3y7mXJC06C2QZkAnaTWEQMgvWND4ucgVJWDpSnSArvMvLfV14Yqw0yGs+FzYt07mfojJR+SrOpiglHVkjmua4GiLoBISgBognUB9Z+sC/hM4pKzq4AErr6+FS/tJvpcc0CqikWzn6PHyuZciYKvRnrtH1IyZrHQCm//rDuPbTv7oyNDu3eUOxYeNMAPGGTaNm/eLDz+5BM7jl117PqOzm4wKlEqAjlf1ZaYA2S8UNLfRLdY8wW29Tv4x+tLuPXeAmpgul93E08dR9VNJEF9ZZqxlY4NaPN3LXCS7Gtz4cFO1aNBIUmrJrYGnll5QBi/NktAmwSXMT+3lRRdF2S8smh6ETSTEHUgKu1e4/YUhnb/cRo/26+TgFPJh1JQiIgiJyXee04VV182ijndIVDXAacwafhMKxKo710PBMarHJVahBnTu7Fixcr1mzY8saPc0fuqjt1Be3BjHZ3d6JnR++WFW7bO789X3lf0h1HIcXgujztUkXjgsJkfJ0IEjsee83H9T1pwixmJwwiaZiVtUFMD9gReJmMZJ3TsEfFIQJotnkq9R3PwZ0sGm+GXZB6NG2bt1QE/5a3VbTApkbU+ypYV7bbFyfhGpGmKtKoQiQG0DjJJOviUpk2bVl0Ys9vF6SK7uB+iijsEACJVbwjVm1BARoDHBN57VgXgEt+6rYSnX8iriWlpBMgIUjJwqaZGjIREEAHVusTIWIjuzk5M6+67ef6iZV+eGNn9auH66jw4ACxfMg9PPHL/SGfX3A8umsvWzZgWoVQI4Ht6xI+jp8921BR+jhMiQIQf3JXHRZ/oxM2/KCJgDuDolg52c55mikmcuVTe25TBphrVw64MtMpirWArzamlBeg0/hrBm13fCOapVJRDNTnJawXopNbHZEDNhklGNO25kaExTb14g5ZO4juDiHXxREo0vD1eZhJE2pNzwcC5iyh04XKC951dxR3XDeBPLxhDkQRAFAAiBBcCNUEQCCDkBPWQYLQiMTAG9I+ydYsWzP/gQw/eP9JSnvP6AxwA3n7+eVg0T1aWrDw3IK4L11Etiz0ngudEcJ0QrhMinwsQEI4f/qyIq77djv4xHyHxAOZOAm5TIZgFe+wnFT2xwW0FlKkHmgSTkz2AjBfXeE1RmiaspNmFQTIrDgLFNg+PKZ4BbAxqW06UTfZL05ZmwAUagZtQGQNYaN08S19o8rnQ3NwAXSbauRRJdakQCuSRcBBGHgh30VmU+NKHR/Cn7xpFEXWgHgC8jjoXGOcUtYgg4EAtFOjpyePSPz4/eGUgrKw5/dxDgeqrpyjGhLcAUorHIv/kk6Pw/rznjML3A/huHb5XR86rYms/xx3rCvjiD9oxPOHpeSltKpLVIKy0YxzNGS+epiYJkK3AMuXJE56d1r9lloWkPXbTADSrhzVXTbLrXo1JeTAb2Rq4HfNoTdkoIyRNTWzvTUjGi0MHkZquUOiuU6ZJj64viisTiX6GiQmMHq9CTKE+Ib4OiarVhSAAEQJccLQVInzuQ6PwHYk7HxTYvB/gkmIcHlxC4DKCrjYff3LRqurbVs15jNJD8sMAXgPAF85qR71W//TMM9bKlzds/DtP7MgVCxFyfg2FXA2PbpT47A3tuP+5FtS5D3hWA0yQOIJOn1lirU+TYAK7iErGfDrrrROebYEbzQNN+/pKBZJNVJIGmjOJJz+clhppbzn2mH80UVxiSkKSbc1NIaYl8XbJlChCqpHu6n1jUyEAiYyoz198V4i/sVFXsgdEK2pQyT7OXbTkQlzzV+M475Q6rr6B49HnJUJZwLD0EdYjnLByfu3oled/tVYr/I9iMXfIx/DQLw0Afs4X9aG7ru7pab22u6cUlIpDyOcn8OgLwCev78A9j7ejLloArwg4BcDJAcwHmAdQD3ZznoRzI+25Le9tpEBmATvlyTGJahK/nqTQCkD2ZtIA9GYedjJgHwrgCVKUJcvBbX3b3ik7sj69PEM10IyHZ1QVJEGmSNEb6wKJ1Rr9tyzObw+AEYKCcwdR5CCKXISRhyD0UQ991OoFEORx7nEc1354CCcvHQaCUQSVIfTOaAvapk279t9uXXd1sZibslrwQHbIHtxYW2lvQNrav/TCb2YGDz/V/7l6bYJ+56edeGZrK5DPgzgeGKVwSDJVHJdqjhUZ30NFEgllC621Ge5tYJ8awGAoiNX5KRVoYgrujcyFgDS4U2l5JMvspc3w3Gy/SS3jkZtvQ+J5a1LBo6YmyK6zy2ZJE+9NkKEzqtKQgkJSoZsKpb24aTchJddl0epvJEP1iJFoErXFTGcoTX0S4ix3GLoIQwcnLa3hXz4+hG/+3wp8t0UU2gqfmxCt/7xnYF+A12ivGeC0/Pe45c6bqo570u1uqf2zd913L55eXwLpbIHnuMhRAl83uSRQAU0ggKogqAnFAVOVRPaJtoNLkgSZCedGSkVpKJ5CEwDbFEV/eENcmOLfFmBJGtTE2phMBs4DoFxOtSIGcOZzsvQkfhgQyxRNSehGRhdHGvSCQCWCbC1dqDGu8TJDTXRyKN1OM/k1qj6daiWFIeK6AlHfDSiRcBhHyFWB3qqlozjr5Ro6p50rlyxYcPtEdai64pgPvVZ4vnaAA8AJxyzE7NkzX3z0idxlvQuc68kTG2nRddDmAT4VcJluig6ACzX9G+EAlwRBilhmzp4BSIpbZ1Ly1nJbTWn02Gl6ApL2stnJXEnDFZB8HftF6rpo5u2nOG7NcGun67OwSXFta4W0d44viCQVT0jCtVOA1jKNHjyvJ0xLRt/HGU6kO2cpXR4Nk0SZQyWJHhUENQNcxNXQxjBSqgokdK9KDsdxEUUUjhPhrJNPE8PB6sv6KytfzDk7Dgc0Dw/A58w5Ef9532+Ct59x/g3f/um+wspFo18Z3tuPthzTPwQpgDMChDpKRzwUxRS/G/QlZyzxxrJB/ktVDtptH2AndWQjLUHjRdAMlZMFpM2NpAB5SJYBjY3ZZpvGygiQoSciRVMIGr04IQmHJ7C9exMvHh+kzEwU+pvYI7YIVPqeaAkn4mrO1VrdRcRVGQelIm7YWqUEzJ+O9q6Wv58x/7wbgCc5ISccDmgeHoADwDvOXImNW/fwaz7ye1seXPfk2O13/Ly0c+8opGTw3GTKiVC3jxsJVPstRAGAyDqFloqiz15KDTGUxLy2KwEznhxoHmxmvbdtDcVSTTx1A50xG2o0Hgz3NsBsus46GimEZ2hH7EIN/854cMDy3Fq1SgJF5VMITaZnTxrt214c8RUUB5zxxZ7tQamK6gAJKoVunslQrRFUax5GJ3yEkTqfrqMaugaBACd96Jhzzli+a/WWsLaTe/njDxcsX5uKkrX2Uh5OVLnz3DNO+JurLl8zuHBeHoQItBYIyi0UHa0MXWWKchEQMgDlY/DEOEi9CkR1QIRIRlWL5AQDKZAnMzPYtEM2eG57gHGD9zbnyPLeWX08a+RAyCWHvPKgdHDbS2eZr53ZzGYxbXqRavUGMwIru22zkUHU+nt29KFaa1Ldgo/REL4bIJ+vwXWq8L0JUBpieMzD3sEc9g/7GBrzMDrhoR4AY0EBUcvawa7ek/9mXz+/k7CWAx+IV2GHzYMDQM+0NgBAFO6/sXP1mc45L/lfltEDXeDjKOQceC6B5xLMnRlixVGDYM4QhOR46Ckfv9nuox651jei8ZmMgYssPbGKq0gC/CSwbBw9n6IaFqGeXC3JLMs8T7rBq7VmweQUG0sNs8nuBIZrG6UjrZnruXJSAacSAMxIeLuXYXZQRFyya45zPBt1BNcNEHKBp19y8OunXITSB4SDcEJJwb4LeC6Q9wT8XBeOXX1Sf3Hamk8OTwQ39kzvfg3oa26HFeDxh7rTMDw08v13n7eGknDoi5s2PNnFKAWlFKWixJwZEVbMJ5jZI+A6E3jypXHcdHcB37+jFWMRFCKtcko7WWNnLW0dPCsV0mZqCmzwJ7hqSr+z/KSpS8/sY8DVdOkkFgOxyarJAD8ZtbHkQWIUEiTtk80VJHXPt7jDlAa1aQ2heLcEIQRJ33HVyzC55xsvnhTWOSxEJRD43s8KuOnnrXhicytAS+htd7FqtkRfV4CWogMC1fG6b/6K/t45a6+SQnw/V+g4jAhM7LBSFNvK7W14+ql1N8yc3nrlkkU9g5RylIoSXe0RWosB6iHF0GgOlWoexy2W+MwHx3DRmeNgQQSAW9KhbsxoFVal606kRVnS4G7WWBP2sikwk70AyGQbvl5mUZZJ6YucYj2R1v4ktY1NV0wdihD2uEwkU4Hb4zeRPAMWNTRdEnyOn9yfwzU3tOOJjSXAz8Nv8ZB3gfGKxOBIhPGJCJzXkWvpGKyLwpV333vfDbnC4aUltr1uAAeAM9a+A1KM/Ki1o+fyQuvMsZwborM1wPTOCXS3V+C7XEXY4zmU8wQffvc45vYGQGTaDiRnJfbeNiXJBJhxz0Ga8epZmmN/aDMa0gT5aRBNjfLX/RqQKfybRQfaRYPVBne6ejBuEyGpBW4ag9+mKMmnKg7uOBxbd1F8544SBis5oOAB1EUQAbtGKV4Zphgcl5iohli2pG9s4fzpl09MDP3o3Re+83U9VK8LRbHtlX2+qAZtN8/uc6LulvCH7f7TuaGJCp55KcLKBRI97S6CiIDWOebPCTBreoAtu/KAa2RDm2/LpP5bB5Dp2Yhl8+wlGr24sYbyV4urNhVLGjd9XU3GAp9+byk1Mr2hpTwllCROLiJppWxLM0r3lrp+G8mAd6rqTohQcqKZa1NQKzVvvguRoA7HK3tcbN2eg3Q9wMkDcNHbUcXxC0exbXcOm/blcNSiebVye++Hli5sv61/sPqa0vAHY6+rBweA9//xxTj1mDHeXl5y29FLc5cGXk/tczcW8fkfzsATz3egUi2iFvgIIw9tPsHFZ9bAvLT3Nk14TYIn7ntC0547NTVfE3A34+Mwz1NIh9ZWB2WvN/AnZSyZoNFsnFJbgJQ6kvLogmQeNGn8IxrrxOPfSyV4ANx2Xw7DNQdgHjzHRbsHnLpY4uo/CXHV+wZx2gmdtcibdmlf1/Tb7nlkhJ959sWv85F6Azw4ACxb/YcQQ9dyUn7yJ0/+6qwPzOyc/oMy212oVkvYOzCOrg6BvF+F70isXBTCcSS4NRtcqqiKJKPk48b2VDbPYJoT0Ay8GRQeTlAetBjymi1RU7LLkxo/y9fL5F4gQdSMw1IrSCZhREzwaSQVdfBUtwCZaexEdPJNIuLAsy+6qIcExGUoOsDckkAReTyzYRaWH9Vd+VDvtD9be07vTyK6Vd5wzWtPwx+MvSEABwDafiU+e93N8g9P2XQLD+Y6tQnv+py3sy0SgEPVJFf9NeB/351HvULU3IxaKVEVhGbyVuh5OhNws6znRgbQGbA3M5lgoDk4SdOXb7A1EJP02vi3N24T0wmZqChC/1gDbgLEDWBVjE/jP0sIQIUEFdIa0aM/G0AuL/HH51fxwuYi+kMO4QGECNQDhjrmjNQw868/863wlh3PD2L2sjcG3MBB9kU5XHbfvbdi9ekfxJrV3evL5fZdfbPaT28v7Cq4dA92Dga46a4cbn8gBxEQ1IS61VHmIMeAgqNGXbtMZUWTmYqbzHU5BU1pBIOtCGQoDSHp13GfkvRyGm9LrP3Sr2nqPZo+6CTLzfey+6Y0304m35HKht+d0v2ty9RO7sD4/pjakOQCIIYKqvlOHYfDYRF8N8B4xNHdweH6HP2DwNAERVfnNJx/+rEDvdN7rtg35Nx0wRqJ4075ozcScm+cBzf2wT97PwAgrA/+CMR1gmHvS9+7Zajr+3dF2PCih3eePoCF59TwjR+7qHAJ6iZjMGNQE8BhaXA31JRYElpTn2cqdaXSew8rrSDmC5ADbIPk7nKIX2DSXSS0ZJQE6vEqc0wsLxwHnUTDn0owKVWSiCEJJikFY7qfoSBwmEQ9Evj2rSXM7+P41AfqOO+4Adz1ZAEdM0/r/7M/OPVT9SD60Yzu8uE6uq/K3nCAG3P9DoyMjn6P5N9Ban7xixPVdV1zZw7gLy8cw4LZVTz3YgV3Pd4GBjWxg0slXKY9uCPhsGSmYtPxyc7NJCPO0wVGxuxquCwtkTKpZXnVNmltd3phw+rJkkkH/GN6dzuINnq//T67Z6q1G2JOrf5JNc0JlRA0abRPIMEoA+cCnCua4jCBe57y8N3bezCzl2FOZwULettx9Qnn9LvlU66S4N9znPKhwuQ12xEDOAC0tbZiZLR6w5///unR7I78V9Y/++t2RwAlFuLko0Pc9bSaX9GjIqYmriPh6mnpmZ5e29y61ZlTT6YniNCeKZvoAJAAyrRDQAL2Q3KomTLXV2OvJZGU3jfx2HZtfDLELDkGopmaooVJsz9jejv9mTSSoJTBYar5ZhASrHsuj331InqjPDa8vAi9i04Zoi0nfEIK54eOd+D+ga+nHVGAA0Bbax5hENz4jrOPG2x1+xcsmNdz7e7+7e6jv82DwkPekfCZhOfoB1PDO11GwJjh3OkTJ6WZFxKA0CAnMps7ikGcyT6/aosvBpIwA7N8qqrBpk5bTrKC2J91gEDTzCStX8clBUTG/cF1G+44Y2knfsx3oESCcUA45riReDSOw1SNN+Dh+MUBulrrOOWEU8N8a+HK9p4TtxAn/x+Oc8ThdeQBDgCu54mRgQ13vv2dF3j9ex6v/Hrju7717CsvkLzLaNFR7bx8R8JzVKGO7xC4DuA4qvGMOedCJnObUwnVsxyqOFFvEvfLBhRFoRSJIGZu2VkJ0bo7NAVrjHC7nhUHf8GQ5KlR0pRNXqWTNYYfm/2TYFXGs8kBRkkhiRQoCTgn4LHGnYDe/FZKJVyti6u/zFR3AyZQDznGKzmcuNQXX73yOEn9hX97zJKVP3h+887gxFVHHUFEJfamADgAtHUuxbonngnaWmbcWKPRfaet9t+zY8e+a3a+vBM+o/BdwHcA3yXwXaJrzBXAAQVcIdSACiH0XO26Jpprz831eoOUOHOnO802V5St58xq2zsno2fsSr4DWEbVaba6IclqXzgZR24rLDTu7msm71Xbc0JjMHNBEBmAC6KPH1HHUH82IwSRqz2/9XcoYXCYRETmolDq/p9n9s2+hXrll6V4Ppjbd3gGKxwOe9MAHABOPf5YAKh+9is/2XTxaSu+9MCz27zZ3cVPD+zeziQP4DACz4Dcp/BdCqar30IuEYYKvVSPVOF6AGykb80RByKu+CQlas50ZhpHEkyuuAApLT1lBxFQYpJ0jPXRmReTvIeVjbTex5sTqSfaNVKeVFOv60SYlAARUntsIIwIwojGDkBINQ98EBKEkTqGDpPwOSAljT065xKSFNE1fS4vtHV+nvpLvhRO7OBd3cvfWMAchL2hOvjB2n1334zFJ14gr/3ke+/7+U9v8stFesLA4LBTr9fhOUAxz1DMMRQLDgo5BtdlgJSIhOLZhBA4jIBRpV3XQ4mxKkElIAg59AnVGTrYOjRJjxKiifZNrHWp8ZuWjq44Kok/C5i6P3iqJ3j8XjYsb8jKIrtP8hwnv5hUUioTcBwJ1+HwHA6HqSCyWnMwXmUIQgLBTeNO5QAqNYLxqkStri4CqX8XIwKeR+D67Wifvqa+aMVF17X1nP6ZT350rZw290+PNGya2pFLyh2EDQ+PIucRRFx+8Zn1W06+6eY7qUPqJ4f1Maez7KOthSGvW+1u3cWxbzCClBKuQ+A4FC5TYNo/GuG3OzkGxhhcBuSYhMc0pzfKjFZpGCNwdPDqMBIDPalzIRmQkaRyMd6O6NfJ/kxfcFQrP0b9oXaCyhSMWVWSxBqRlFRIJrM1M6qAzJiE4yhAu0zCdYQCtat6RpqHwzgGRj1s3NaO/iEfhFjqlAtASuwZALbtikCpRM5nKOUpSkWBvt62qKuDPbzs2HeKlvYFD9cDXNXWQpDLl440VCa1NxVFyVq53GpeXvXj236Kc9YeX6pWJr67f9/O9zKxn7bmx9HRKtBZnsCjWzzsGnQwraQ4es4jKOQctBYpli4IsWzpAH54bw679reinKMouWr8IKMAM4X+SGvHhDRmDxvNCGvWsC9iVIcpIk0rsMy2lbO1bHt385GmGT2xtWwt2ah9VZdfxtTAXteNkPcDtOSr2DUY4N/vK2NsmKOtIFAqUhTzSpHyHI7OtjpqvIqnf+2jq4WglAtAp7diwYLZYva8vltbWop/uWvX7rET5q460vA4KHtTA9y29178e3hp67Yx1/MvHxrYu7l/59MryoVdF7WwZ7B1Xw2/faUbtOqgo0V5N89jaClQdJYFFs8WWDa/gtHxUXzzDgfDQREOJXAowJnUJaDppEmaWhgQNhJxA2S7HFXqLJKZUWEyy6bRs3U0JMPc7UY/QkuhRg5lyAaBxrurpqgFvw7HncCdj/n417vKWDUTWNQbgBIXDnWQ89RdpFwKsLQ4iFyxgGe2FnHB6fMxZ27H7ce/7W3r+/p6v1at1sZ6Z84+0nA4aHvLABwA5s+bCwD7K2PbPrNo4UVzeOVJ5CS76K5nnsHO3QKz2zgYc+C6KgDN+xKFHIeUErV6Hu85ox+3PjiG7YN51DlFnlnqgBncnFIiiO49TlLZQbss1QBQ6Nw/RaKoxNlUpAPYhkKwzEPxfJm6AOxe4ABAjZQH1aJByHQiJwY5M1QlQP9wiFvu70LedUGJQKUuUKwL5HyJMFSKShQBPeUAa1YW0Tf3RJx95lG3n33y8iv2D41tb+84/GMmX297SwHcWKE0F5K/sh25oz8BSW487dRVH92+f8fpu7a+iLxXhe9ROA6Bq5NDDhOIOEFfN5D3QgjBEUoGLknc/AawgG3xZMdMNqXlSJP6h04omYG9FLq5PDFJbejtkZI8GoANOznTvBNAMig4uWgEAZjRwAUBE0kPlPhPmIQPFXAYRzWQ2LbXR9FRakkYyfhRDQgGRwS6OsuY3bkMv3/Bkgee39nxtdNPWvDsWK2+fflRfUf6tB+SvSUBDgCEzQKAzVLKzcetxPqNm++fMWvt8u+8vGPLwo0bnmdSRGpwqw62GNOTkWoTZuoM0xvRpiNUlQE4TD1MrYuZ4lpAxkklGFBTokpJjcIilRZPY8A10dgn8d7qgkoSN0ISNXeTpeMTAgh90VGiaZZRh/Sfs9tpJJyfIxASAVeyqRACUghw4WD2/NV8/rIFm4ul0b86afm5u086HptI88DjLWNvWYAb0ydg0/Dw4CbBxfnt5cLMVatW3frYo79u5bVdRc/Zj3wuQN6rY9s+oBJ4AGFqP9M+GBa4aKKgOIzAdZQCoqbqkAhCCclFnFACdMIIiPmE8pzJoF4qE2qRLYJqHGNqNGylkgA6u6gTMEGom2RqORD6glLfmSYXnmUSAOcUOY9ibncNL+4SGAsIqnWOlpZWLF48Z2LNmjWjYRRdMm16305K2fa3OrCNveUBbqxc7oAQYnt7R+fLY2PjyymRJ7mO+FdZezYq0sc6HGegdOMvStizv6Q0chNWSqNr69H52nMzBrgugecyuLokQEhASI5KjSMIlRcnULIiION+IqZTKzETc8UjZNLelTZ47mQgh5H+KFF3GyEpIk5RqemgkgKuY2pDCBiViISl8ZtySa3oBKGDnjYHf37eOD73ox60TuseO+fMhYNnn7zEyfnOX8yeM/eRQqE4AkhBCD3U0/Cms98ZgAOAnglA7O/fM9QzfcbdterY4v/6+W3191/2+Y//5plfvH/70M5wdq+zJIp4bu/QBHwC5B3FpRkhGlhKC3cdAs+h8D2KnKcaFrkOMEgjvLxPoloTOrOauGZCtLcWSE/qJNL1t6pZTpp7J3cQnaBxJDxHwHWF0qirBC/vdTE4IuE4BJ6rvhsB0ReGrivRqXcz2p2RCIyGqEftEKSrtvYEsjFqWeWuOvqsG//hE5f/0++f/1W/vdxWGxkZE8Xi69e+4UjZ7xTAjU3rmg4owl2R4SbAca8VcK499di3sQtPa/3W3uHK4l8+9dKpu3cOMhpVQGkEwQMw6sBhVA+Lo3AdipxP0JIHWvICbS0cy+cP4cltDLtGcugsGoqieLoQgCBGviMgeoprezq/NDWxBk7HAWGSwPFcgWI+RLlUQ3VfHQ/8towOn6K1haKYY5DSAaMUrqPoSxhRUCrgORFAKDyPwcuV0Nrex7mzcl0oypum5Ycu8zzOS4U8vvL16+XixX2VI32+Xk/7nQS4bcRdDCQ6RrRzz8BfFgte+7vOHvzC13/0K2/zi9v5vG5vdakgj4uqQ6hWJ1APAN+jYA6Q94BSQaLcEmFaex0LZ40hkA72jOWRdwHfVcGkUVVMJaOhKFwob224MbGAzUwnACvVbspbqaYp+VyEzrYxvDIyged2tGF5j4SEnkGaqrtKzgN4FGEskAApoHfGdBRLwZO5/MBTxXIfa5lxYcBy3f8ge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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 273799000
{'hecke_orbit_code': 180143985128383297, 'n': 1, 'trace_an': 4}
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id: 273799001
{'hecke_orbit_code': 180143985128383297, 'n': 2, 'trace_an': 1}
-
id: 273799002
{'hecke_orbit_code': 180143985128383297, 'n': 3, 'trace_an': 1}
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id: 273799003
{'hecke_orbit_code': 180143985128383297, 'n': 4, 'trace_an': 3}
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id: 273799004
{'hecke_orbit_code': 180143985128383297, 'n': 5, 'trace_an': 0}
-
id: 273799005
{'hecke_orbit_code': 180143985128383297, 'n': 6, 'trace_an': -7}
-
id: 273799006
{'hecke_orbit_code': 180143985128383297, 'n': 7, 'trace_an': 11}
-
id: 273799007
{'hecke_orbit_code': 180143985128383297, 'n': 8, 'trace_an': 6}
-
id: 273799008
{'hecke_orbit_code': 180143985128383297, 'n': 9, 'trace_an': 5}
-
id: 273799009
{'hecke_orbit_code': 180143985128383297, 'n': 10, 'trace_an': 0}
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id: 273799010
{'hecke_orbit_code': 180143985128383297, 'n': 11, 'trace_an': 0}
-
id: 273799011
{'hecke_orbit_code': 180143985128383297, 'n': 12, 'trace_an': -16}
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id: 273799012
{'hecke_orbit_code': 180143985128383297, 'n': 13, 'trace_an': -2}
-
id: 273799013
{'hecke_orbit_code': 180143985128383297, 'n': 14, 'trace_an': 11}
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id: 273799014
{'hecke_orbit_code': 180143985128383297, 'n': 15, 'trace_an': 0}
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id: 273799015
{'hecke_orbit_code': 180143985128383297, 'n': 16, 'trace_an': -3}
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id: 273799016
{'hecke_orbit_code': 180143985128383297, 'n': 17, 'trace_an': 7}
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id: 273799017
{'hecke_orbit_code': 180143985128383297, 'n': 18, 'trace_an': 17}
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id: 273799018
{'hecke_orbit_code': 180143985128383297, 'n': 19, 'trace_an': 0}
-
id: 273799019
{'hecke_orbit_code': 180143985128383297, 'n': 20, 'trace_an': 0}
-
id: 273799020
{'hecke_orbit_code': 180143985128383297, 'n': 21, 'trace_an': -2}
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id: 273799021
{'hecke_orbit_code': 180143985128383297, 'n': 22, 'trace_an': 1}
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id: 273799022
{'hecke_orbit_code': 180143985128383297, 'n': 23, 'trace_an': 11}
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id: 273799023
{'hecke_orbit_code': 180143985128383297, 'n': 24, 'trace_an': -13}
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id: 273799024
{'hecke_orbit_code': 180143985128383297, 'n': 25, 'trace_an': 0}
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id: 273799025
{'hecke_orbit_code': 180143985128383297, 'n': 26, 'trace_an': 9}
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id: 273799026
{'hecke_orbit_code': 180143985128383297, 'n': 27, 'trace_an': -14}
-
id: 273799027
{'hecke_orbit_code': 180143985128383297, 'n': 28, 'trace_an': 13}
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id: 273799028
{'hecke_orbit_code': 180143985128383297, 'n': 29, 'trace_an': 15}
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id: 273799029
{'hecke_orbit_code': 180143985128383297, 'n': 30, 'trace_an': 0}
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id: 273799030
{'hecke_orbit_code': 180143985128383297, 'n': 31, 'trace_an': 1}
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id: 273799031
{'hecke_orbit_code': 180143985128383297, 'n': 32, 'trace_an': 3}
-
id: 273799032
{'hecke_orbit_code': 180143985128383297, 'n': 33, 'trace_an': 12}
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id: 273799033
{'hecke_orbit_code': 180143985128383297, 'n': 34, 'trace_an': 22}
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id: 273799034
{'hecke_orbit_code': 180143985128383297, 'n': 35, 'trace_an': 0}
-
id: 273799035
{'hecke_orbit_code': 180143985128383297, 'n': 36, 'trace_an': 16}
-
id: 273799036
{'hecke_orbit_code': 180143985128383297, 'n': 37, 'trace_an': -11}
-
id: 273799037
{'hecke_orbit_code': 180143985128383297, 'n': 38, 'trace_an': 0}
-
id: 273799038
{'hecke_orbit_code': 180143985128383297, 'n': 39, 'trace_an': -29}
-
id: 273799039
{'hecke_orbit_code': 180143985128383297, 'n': 40, 'trace_an': 0}
-
id: 273799040
{'hecke_orbit_code': 180143985128383297, 'n': 41, 'trace_an': -22}
-
id: 273799041
{'hecke_orbit_code': 180143985128383297, 'n': 42, 'trace_an': -19}
-
id: 273799042
{'hecke_orbit_code': 180143985128383297, 'n': 43, 'trace_an': 26}
-
id: 273799043
{'hecke_orbit_code': 180143985128383297, 'n': 44, 'trace_an': -12}
-
id: 273799044
{'hecke_orbit_code': 180143985128383297, 'n': 45, 'trace_an': 0}
-
id: 273799045
{'hecke_orbit_code': 180143985128383297, 'n': 46, 'trace_an': -10}
-
id: 273799046
{'hecke_orbit_code': 180143985128383297, 'n': 47, 'trace_an': 26}
-
id: 273799047
{'hecke_orbit_code': 180143985128383297, 'n': 48, 'trace_an': -13}
-
id: 273799048
{'hecke_orbit_code': 180143985128383297, 'n': 49, 'trace_an': 13}
-
id: 273799049
{'hecke_orbit_code': 180143985128383297, 'n': 50, 'trace_an': 0}
-
id: 273799050
{'hecke_orbit_code': 180143985128383297, 'n': 51, 'trace_an': 11}
-
id: 273799051
{'hecke_orbit_code': 180143985128383297, 'n': 52, 'trace_an': 27}
-
id: 273799052
{'hecke_orbit_code': 180143985128383297, 'n': 53, 'trace_an': -16}
-
id: 273799053
{'hecke_orbit_code': 180143985128383297, 'n': 54, 'trace_an': -25}
-
id: 273799054
{'hecke_orbit_code': 180143985128383297, 'n': 55, 'trace_an': 0}
-
id: 273799055
{'hecke_orbit_code': 180143985128383297, 'n': 56, 'trace_an': 8}
-
id: 273799056
{'hecke_orbit_code': 180143985128383297, 'n': 57, 'trace_an': 0}
-
id: 273799057
{'hecke_orbit_code': 180143985128383297, 'n': 58, 'trace_an': 3}
-
id: 273799058
{'hecke_orbit_code': 180143985128383297, 'n': 59, 'trace_an': 10}
-
id: 273799059
{'hecke_orbit_code': 180143985128383297, 'n': 60, 'trace_an': 0}
-
id: 273799060
{'hecke_orbit_code': 180143985128383297, 'n': 61, 'trace_an': 2}
-
id: 273799061
{'hecke_orbit_code': 180143985128383297, 'n': 62, 'trace_an': 31}
-
id: 273799062
{'hecke_orbit_code': 180143985128383297, 'n': 63, 'trace_an': 17}
-
id: 273799063
{'hecke_orbit_code': 180143985128383297, 'n': 64, 'trace_an': 4}
-
id: 273799064
{'hecke_orbit_code': 180143985128383297, 'n': 65, 'trace_an': 0}
-
id: 273799065
{'hecke_orbit_code': 180143985128383297, 'n': 66, 'trace_an': 22}
-
id: 273799066
{'hecke_orbit_code': 180143985128383297, 'n': 67, 'trace_an': 3}
-
id: 273799067
{'hecke_orbit_code': 180143985128383297, 'n': 68, 'trace_an': -4}
-
id: 273799068
{'hecke_orbit_code': 180143985128383297, 'n': 69, 'trace_an': -14}
-
id: 273799069
{'hecke_orbit_code': 180143985128383297, 'n': 70, 'trace_an': 0}
-
id: 273799070
{'hecke_orbit_code': 180143985128383297, 'n': 71, 'trace_an': -18}
-
id: 273799071
{'hecke_orbit_code': 180143985128383297, 'n': 72, 'trace_an': 29}
-
id: 273799072
{'hecke_orbit_code': 180143985128383297, 'n': 73, 'trace_an': 24}
-
id: 273799073
{'hecke_orbit_code': 180143985128383297, 'n': 74, 'trace_an': -17}
-
id: 273799074
{'hecke_orbit_code': 180143985128383297, 'n': 75, 'trace_an': 0}
-
id: 273799075
{'hecke_orbit_code': 180143985128383297, 'n': 76, 'trace_an': 0}
-
id: 273799076
{'hecke_orbit_code': 180143985128383297, 'n': 77, 'trace_an': 6}
-
id: 273799077
{'hecke_orbit_code': 180143985128383297, 'n': 78, 'trace_an': -15}
-
id: 273799078
{'hecke_orbit_code': 180143985128383297, 'n': 79, 'trace_an': -30}
-
id: 273799079
{'hecke_orbit_code': 180143985128383297, 'n': 80, 'trace_an': 0}
-
id: 273799080
{'hecke_orbit_code': 180143985128383297, 'n': 81, 'trace_an': -4}
-
id: 273799081
{'hecke_orbit_code': 180143985128383297, 'n': 82, 'trace_an': 13}
-
id: 273799082
{'hecke_orbit_code': 180143985128383297, 'n': 83, 'trace_an': 12}
-
id: 273799083
{'hecke_orbit_code': 180143985128383297, 'n': 84, 'trace_an': -52}
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