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mf_newforms • Show schema
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{'Nk2': 10200, 'analytic_conductor': 20.3618525154265, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [2550, 2, [851, 1327, 751], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 2449, 'conrey_indexes': [2449], 'dim': 4, 'field_disc': 2304, 'field_disc_factorization': [[2, 8], [3, 2]], 'field_poly': [9, 0, 0, 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': [[7, [24, 0, 1]], [11, [0, 1]], [13, [400, 0, 56, 0, 1]], [19, [4, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90072198739397110, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 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mf_hecke_nf • Show schema
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[0, -52, 6, 0], [0, -6, 4, 0], [48, 0, 0, 2], [0, 2, 4, 0], [-30, 0, 0, 4], [24, 0, 0, -6], [0, -18, -4, 0], [24, 0, 0, -8], [0, -20, 1, 0], [0, 14, 0, 0], [0, -14, 2, 0], [-20, 0, 0, -10]], 'char_orbit_index': 4, 'field_poly': [9, 0, 0, 0, 1], 'hecke_orbit_code': 90072198739397110, 'hecke_ring_character_values': [[851, [1, 0, 0, 0]], [1327, [-1, 0, 0, 0]], [751, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 3, 3, 3], 'hecke_ring_inverse_denominators': [1, 4, 1, 4], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 0, 1, 1], [0, 3, 0, 0], [0, 0, 3, -3]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 0, 1, 0], [0, 6, 0, 2], [0, 6, 0, -2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '2550.2.d.u', 'level': 2550, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 10200, 'analytic_conductor': 20.3618525154265, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [2550, 2, [851, 1327, 751], [2, 1, 2]], 'conrey_index': 2449, 'cusp_dim': 516, 'dim': 48, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 19], 'hecke_orbit_code': 206191987190, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], 'label': '2550.2.d', 'level': 2550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'mf_dim': 564, 'mf_new_dim': 48, 'num_forms': 22, 'prim_orbit_index': 2, 'relative_dim': 48, 'sturm_bound': 1080, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, -48, 0, 4, 0, 0, -48, 0, -16, 0, 0, 16, 0, 48, 0, 0, 0, 0, 8, 0, 0, -4, 0, -16, 0, 0, -32, 0, 16, 0, 0, -8, 0, 48, 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mf_twists_nf • Show schema
Hide schema
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id: 963400
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2550.2.d.u', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '510.2.a.h', 'target_level': 510, 'twist_class_label': '510.2.a.h', 'twist_class_level': 510, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 963401
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2550.2.d.u', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1530.2.a.s', 'target_level': 1530, 'twist_class_label': '510.2.a.h', 'twist_class_level': 510, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 963402
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2550.2.d.u', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '2550.2.a.bl', 'target_level': 2550, 'twist_class_label': '510.2.a.h', 'twist_class_level': 510, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 963403
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2550.2.d.u', 'source_level': 2550, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '2550.2.d.u', 'target_level': 2550, 'twist_class_label': '510.2.a.h', 'twist_class_level': 510, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 963404
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2550.2.d.u', 'source_level': 2550, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '2550.2.d.u', 'target_level': 2550, 'twist_class_label': '510.2.a.h', 'twist_class_level': 510, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 963405
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2550.2.d.u', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '4080.2.a.bq', 'target_level': 4080, 'twist_class_label': '510.2.a.h', 'twist_class_level': 510, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 963406
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2550.2.d.u', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 73, 'target_is_minimal': False, 'target_label': '7650.2.a.cu', 'target_level': 7650, 'twist_class_label': '510.2.a.h', 'twist_class_level': 510, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 963407
{'conductor': 85, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2550.2.d.u', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '8670.2.a.be', 'target_level': 8670, 'twist_class_label': '510.2.a.h', 'twist_class_level': 510, 'twisting_char_label': '85.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2725025
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 90072198739397110, 'p': 2}
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id: 2725026
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 90072198739397110, 'p': 3}
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id: 2725027
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 90072198739397110, 'p': 5}
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id: 2725028
{'charpoly_factorization': [[[24, 0, 1], 2]], 'hecke_orbit_code': 90072198739397110, 'p': 7}
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id: 2725029
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 90072198739397110, 'p': 11}
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id: 2725030
{'charpoly_factorization': [[[400, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 90072198739397110, 'p': 13}
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id: 2725031
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 90072198739397110, 'p': 17}
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id: 2725032
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 90072198739397110, 'p': 19}
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id: 2725033
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 90072198739397110, 'p': 23}
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id: 2725034
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 90072198739397110, 'p': 29}
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id: 2725035
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 90072198739397110, 'p': 31}
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id: 2725036
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 90072198739397110, 'p': 37}
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id: 2725037
{'charpoly_factorization': [[[-20, -4, 1], 2]], 'hecke_orbit_code': 90072198739397110, 'p': 41}
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id: 2725038
{'charpoly_factorization': [[[64, 0, 80, 0, 1], 1]], 'hecke_orbit_code': 90072198739397110, 'p': 43}
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id: 2725039
{'charpoly_factorization': [[[96, 0, 1], 2]], 'hecke_orbit_code': 90072198739397110, 'p': 47}
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id: 2725040
{'charpoly_factorization': [[[8464, 0, 200, 0, 1], 1]], 'hecke_orbit_code': 90072198739397110, 'p': 53}
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id: 2725041
{'charpoly_factorization': [[[-24, 0, 1], 2]], 'hecke_orbit_code': 90072198739397110, 'p': 59}
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id: 2725042
{'charpoly_factorization': [[[-92, -4, 1], 2]], 'hecke_orbit_code': 90072198739397110, 'p': 61}
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id: 2725043
{'charpoly_factorization': [[[64, 0, 80, 0, 1], 1]], 'hecke_orbit_code': 90072198739397110, 'p': 67}
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id: 2725044
{'charpoly_factorization': [[[-8, 8, 1], 2]], 'hecke_orbit_code': 90072198739397110, 'p': 71}
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id: 2725045
{'charpoly_factorization': [[[144, 0, 120, 0, 1], 1]], 'hecke_orbit_code': 90072198739397110, 'p': 73}
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id: 2725046
{'charpoly_factorization': [[[-80, 8, 1], 2]], 'hecke_orbit_code': 90072198739397110, 'p': 79}
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id: 2725047
{'charpoly_factorization': [[[6400, 0, 224, 0, 1], 1]], 'hecke_orbit_code': 90072198739397110, 'p': 83}
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id: 2725048
{'charpoly_factorization': [[[-92, 4, 1], 2]], 'hecke_orbit_code': 90072198739397110, 'p': 89}
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id: 2725049
{'charpoly_factorization': [[[44944, 0, 440, 0, 1], 1]], 'hecke_orbit_code': 90072198739397110, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 21, 'label': '2550.2.d.u', 'level': 2550, 'portrait': 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4bZiYSldkC7LxjEHss9wYYJw2LLcOysouL5bJiGLXMh62cGrJsZsmFmyJb1lm0bFJds9aiqOoePNfnG0z6P7ot58mhEojq85eUt3vFSS1XNsO/oJIdPaU6eSziTgvvAguW6y+b5xfcus3V2glPnJjm3XGGx5bHUkqx0EtrdhM4A9h5e4ODJ1iVPHJx/xf7j5847dGL+1hte987w3q986oWGxN/p9i3N4POLbQQJIN53/+MHX/qffu9z8l9cv/+lP/P2k3qhtY7ldoPFlRqLLZ/FlmaxBUuthKVWxOJKwpkVOLgomJtd4Ve+f5EX76px/Ow0p87VObWgObtoObMQc2I+4VwnZnJ6wMuu6PKSi8GXVQIVcHapwukFzZklQW8IcWyo+IZ6JWFqIsYAR8/EtLuwfb1HvTrEWgHCp9s3bNswZHFFg3VSZKULwxgslqVWyOZ1Hp2+QiiLMEOaFY9tGwes9ARHT2kSo5lpShoVQeBBHAt6Q8mZJcnpRcvZ5ZggGIAXc8OlXV56mWCuWWVxucnxswGnFuDsQszZpZiTS3Bw0XLtpQv86vcvs2GyybEz05xZrDK/7LPQkiytJCy3I5bbCUsdw0JHcrIDS8tdfvtnhvG7X924rzL7QyZoXnyfsfyCpwTan3yhofKct29ZBv/Ixz/Dy264mn/77/7jr338r+/49x/+y69esOfYynn7Tvbkyy9vs3NTQpJorFVY69gbKwEJCISwaGHxJZxarPLgAckVO5e4eOuAWgU8LfE9he9r6lVJzZP0uh57j1S4/VGfo+eGtOOIvceHrJ9Z4q0vW+aKCzpce3GLIwsxCz1BLRhw6JSl1a5z+fmSlUHC7iOKRk3zzFG4cJNlECYMEh+tI6YasOd4gNIJnozRHvSHkhdf3KPfk1xxQUK7n3D0VIMdGxT1WsjK0LJussdyt81f3QGPH0548vCA7ZsWufKiNlPTIW++ocN3vtKyc0ODJJrk8MkJDp7wOH7GcOJcxIlzCQfPCY6tRLxo1zy/8v0d1k9OcvzMNGcXa8yv+Cy2JMuthFYnYqWbsNy1LHUFZ3uKpXbMdRfP8xNvnZeB5rz5M8d2xNHw+vrEeVW/MvPVR7/xt/zxBz7xQkNmzdu3JIN/+q//hhe/aKu69c59v7Tv0Jn//OATR9RiK2R5qDnZN1yx7Sy//ePzXLWzxtnFKRZbNZZaFZZaHkttzXIHllsJy+2YpU7MQguOLwt0dcCNly3xXa8M2bGuzkq3ybmlKvNLPgstwVLLSYTljqHdN7SHlt4gZqYZsW29AQSBZzlxzkPIgO3rFDs2WTat63F2ecgT+xtcc6GlVl3m6QPTNOohYegxM2XoD+CSbQP+4o5JLtoaMxxaZickUdKnUQl45siAqlfnql0xTx4KObvos3kmYMdG2LYhRKmIEwvgexYhLNvXx0w1JJ1+QLfn0e55LLUVSyuw2DIstRIWWglnWrA4SNi2uct33bTAjRdrKl6T0wtNFpYrLKxoltqC5ZZhpROx3ElY6VoWu3Cmozi7EvPii87w/h9f5ILNdRZXmrS7AcO4Dv6uRHibfu1c58JfnaycSF7z+re90NBZdfuWAvi+ffuoVCrVUydPbHvq6Wffffjoqf/2zJ7jdIeCzhBafcG5nuJUJ+ba88/wWz++xJXnVzm3PMXiSo3ldoWltsdyW7PchlbHsNKJWe7ELLUtZ1uCU10Loss7Xt7izS82nL+xQhjWWG5VWOn6tDqK5a6g0xMMhpYwtiQJKGkJPKgGlsmmZd10hPYGHDwd8tSBABPXeeP1Idpb4ZHdE5y3Eb78YMzLLw841+pT0Yo4iZiegjjy0F7M4mKNl13d5sv3N9ixER7eP8SjxhtebIhFn6cOJhw+UUFLn/VTmqm6oBoIfF+gBMQGwsgyCKHTs6x0DZ2eYaVnWOxa+knC9i093vySFu94aQimweLKBOeWqk5vtzXLLVjpJLS6MSspuJd6cLqtmG8nXLvrLO//8XNcur3K/PIkK50anZ5Pu+uxuCKRwVaq9fX/ZduOiz61ecuWY8PBoH/hhbteaCjlt28ZgB86eIC5uTn/wMH9P3hg/4E/fOzxJ8Ticlf2BgmdnqEzsHT6gpW+4FxfcroT8eILzvEbP7LI1RdUWFiZZHGlznI7YKXjs9zRrHQErY6l1U1Y6cS0uoblruVcR3C6ZZia7PG6azvccHHM9vWKZtWj3akQeBJQhLHEGIGx0BsAwjDVGLD/pMXYkNserjPsVblgs8+NV/SIzAp3PTrJVRd67D/TpbXc5CVX9PjqIwHrpy27j1r+9dvb7D4SsH5acvujihsvUSz12hw6Ps1Vu0LueqpPPKxxw6U+O7cO6MddvvKIgkRw8ISmWdNoAb2+xFhBYixRDEiD9g2trqXeiNi6cchLL+nxumtiZuoVzi5NsLhSZbntjs1yW9DqQqsT0+rGtLoJrZ5lqSc50xEsdGKuv2ieX/uRea7cUWF+ZYKVTo12N6Dd8+j0PFpdRasLiamYCy++wp5//s6f3Lnzgo8sLMyH3yog/5YAeBjGcjjsv/Ub995yQa8fv//hhx/2ohiGkaXXT+gNEroDQzcFeSsF+alWzA2XnON9PzLPNTt9VtoTzC83aHUrrHR8VrqaVkfR6kGna2n3YtrdhG7f0OpZ5ruC+S5EyZArL+yzYTqh27O86SVDzttgiBOJlpYwgjufqHDsXIWNUzFPH6yAqXHxFsXVFxmCSo9H9veYX6hz2Xl1mpPL3P+kx3UXVljsrbC83GTDBsuDuxXf++ouD+3WbFnnsdBtsbw0zdWX9Lj/6YTp6iSXXdDlXKvFg89OUtV1rr3IsmvbAGSXJw4L1k1HnJ2PuOsJj0GkkBISYzlvY8jrXhLS6So2TRmuvhDCsMZSq8ZSK2Cl69HuKVpdSbsL7V7qlPQS2j3DSs+y1JecbAta/SE37prnV394mWsvdBdHq1Ol3Qvo9Dw6PU27r+j2Jd2+oNtPGIQJ11x9bYRQP/v2t731QK1W/aL2PPNCY+sFz2RGYQdjut9/5tgjv71wZt/02XPLNGqSYegCRZeJz27OAhTCIqVFSs1D+9bzCx/UvP3GJd7z6iV2bA45s9gk8KtUA59a4FGvajpVSaPvMVHX7oLpJ6wfGvpDS2cQsDRf4cRxSxgbTp6JCQILCHxl0VLQ6ysEHnFP86LzBDs3WbZt7jFMOtzykGLPgSlef03A1Zcs87FbLL6ocd7mHk/er9g8qZht9qioKmHkca4D9Ypmy3rB43tCrt5V5ZVXLfDRm/v4XoPXXm/xgh5fezDkyw/UefZwlfM31ThvY8LcVMiO2YjLz0tQyqCVBSy1IGBuMiCMPDo9n6f3e3QHml5f0R1Iun3oDizdnvvunX5Ct29p9y0rfZjvKc4uW2oTLX7qjfP8ixuHXHl+ndMLTVrdCp0M3H1Ft6/o9SX9gWAQWsLYSaW773vIazSnf7sxuX7ppldc/zMr7d5HJ5u1FxRfLyjAk6gDQvzw4qm733fy0B3TxAMatQClJEoKEIKy0SMESOE6aZS0KJngS8mT++d4bF+d/afO8faXdnnppQMmG02WWjXq7QrNvk+3p93JGUj6A01vqBkMLYPQEEaWKLLEibuHsY81IJXA04KKL5hsCKYasGHWsGV9j9mpFrc+Anc/5iHNBK+/xuNFF3e499mIcNDkxhcJWv0+5xbr3LDLMDvZo6oDBrFivh2hjOBFuzS1xpBH91Z4xdUTvOTKDo/uVWAnuOZSnx96yxJffTzk9ofq7D5WYducYsN0lalGjYkGVAPwtEVJMBZ2HxYkiSCKBWEMwwj3HYcJ/aFhMDT0Bobe0NDtQ3sI813JuQ4MzYDXXLXEW1/a4ntea4jjJmcW6rS7FTp9n27fo9tXdPqK3kDQGwj6Q0t/YOgPE4ah+7dPnD3FvmO3Ti+0zf/97re9Qi+3ex+cegFB/oIBfNBfJkn4ocVTd7zv3LFb1knTo1mvIWWCFCAFICQCgRAKIQRSkoIblLJoZfGUoeoJFnpVPnnHFr72WJuXX77Ce1+zwuU7usxM1lhcqdHpB/T6Xgps5e6hYBhJolgQx26pz1YMJS1aQ8WHWtUw3YjYvK5HTJf9JyP+6q4Kh47XmQyqXHep5oYr2jy4r8Vt32hy/YUVtm3s8Rd3CJQIaDYiVrpDjAUlYK7Zo93xMXGVt778HJ/8co2dZyu8+foeYbTIXU/NECUVXnzpOt58XZsLt7b42qM9njxe44nDPlumJdNNQS0Q+J67CB0fWIwFYyxRnF6skWUYuQt5EEI/hM5AsDwULHVA6AFXXbTCe1+3wssvTZhpVllu12h1qnR6Ad2BR7dfrAS9oaQ/gF564QxSgA8iS39oiRLF4tkWH/2r29cJ7Pve9e0vs+fmlz+0bm7qnz/AF1YsSiMmn5b27Kkv/EA4HLx/Zf6p2Wi4gvZ8KkGcAkw48hYghEQIgRASJTVSJigl0uXZ4ClLoC1VLVgeKBZbU3z6zjoPPN3lxitXeO9rV7hqZ4uZpEocB/QGFbp9j/5QE0aKKJbEiSQxAmOFy4IKS+AbapWYwA/xvSEnF4fc/LDkwAmfwyemUCZg50afS3Yorrm4jQrmeepgg82TNS47HzbMLbPUbnL5ZklsLLc+FDDsSSbrMW948YAv3hVx7EyDiy7wOL0y4JlDHlvXT3HljnnufbLD/c8IhqHPxTumuXhrwMVbOhw8vcSBk/DQnhr7D9WpaUGgJfXAUvFAShdUWesu1jjByYdE0B0K2gNBO4LQxBg74NoL27z3dW1efnnCxumAwWCCxVaFTjegO/Dp9TXdgaI3UPSHgv5A0h+6vtHB0OnuwdAwGFr6oaEfOkfHCsX8Qos/+/Qd6w4cPfv+eqMe/9rv3vKxRB3gl37qJ//5AjxJBiAqLz+07uEPmaU/ng7s/KwnPUTgIaIYawSkDCqFQggcW0uBUgKtVPpo0CrB0wJfG3zPEniWmp8wWRF0hh7L7Sk+c3eTO54YsH6qx7tvanHx1gGDfpfLdli2blAMI48kKdL8AouUBk8nHD1rOXxGsNI3fP7eGicXprChx1RFsWlGs32D5vzNcNnONkYu8KdfrLO0NMH1F2su29nia08IROyxbkpSr8X0Ih9pJViJ0j6tgeDskuBSW+Omazrc92iVTbM+1182zb96ywIf+XKHh/bW6Q48Flca7NhU5aKNPV68q8N3vKLDqaUlPn9vwGIv4Ohpj5MnfTwlkNKtesZaEgORsSSxYWom4opLewyHERdvHfLOm4asm1BMNwKiqMLp+Qq9vk9v6Fa5fg5s6cA9FAyGuJVgmDAIDcMwcRIosinIoR8JBpEgsoq9Jzs88akHZl961czvve7lM9FHv2Y+8aG/+G1+6Ht/5p8fwH/iv/0l62cq4qOf+uMdywt7dm2ffoY3Xh+gW3UGoUFJg0iXWSGd1hbSoqRCSomSEq0EWqWPWuDpBF8LfM9Q8SzVyFILLROVhKmqoBdKOmGdwyfq/MYnpsHEiDjmmit67NgQEsdgrMFal8SRQiCVQHs+e4/57D5QoV7RNHzJbE0wNyNZN63ZNKfYvjHhou0rJGKR3/9sk6PHJrl+l8fF5yX04w7feCpgsuoxM2GZbITUqk4KGSNpDRRLXctiK6HVrfKyy1Z4eHePPccUk80KL750kh956yJ/8Dl49ECdbt+y0tGcXWqyYbbGuqkB22cG/Id39WjWWjx5GPYel3ieRSmLEAaw7j8LcQznbUi48fKYJPKI4gBrawxCjzMLPv2hW9EGocrlWz8UDIaCQehYexi6rOxwaBiGhkFk0veyuwN3PxJ0IkE7SleL9hA7eHRyLtjwgd/+wQvi17zuXZ9+16s8O7Hlp/75APx9v/MJrjpvQulf/rN3fOBzi3/6jcdO8ZoXTXD+xha7thl0L0HJinNGhEFKi5IapawLJpVK9bbE005z+p5i6EmGoSEIE4aRpRoZhpEhDC3NGIaRYRhDGAsGkWSYBERJhT0H6jyxBxJrcdB22tiT4CtX89EI4LKN0KzCRF0y1VDMTGrWTcO2DUM2zq0Q2SV+/7MTHDw0wdXnK87fItm5ZZmvPxNzdnGCa3ZIppqGit8nkAFWCeJEIqwlTkKWuxXOLnpcfXGVF+3qcO+jFdZPCWqVBlfvMvzUOxb5vc8ZnjnZYKVrWOko5pc1s5N1pppVppoTNGsRc/WI7VeHBF6Mp2OUSpDCLYUWd1FFkeLcvCaKFVGsCCPFMEofQ8kwkgxDySB0DtYwwsUooWUYuuM6DBPCMNX0kXt/EMIgEgwi6IUO3K1I0A4NZjjgRecv8a/ftcz1u87VElX52Ol9XzaL3Ss/e/jpjyc7Lv++f/oA/x//8y9p1Cvq4f3n3nn25KmPPvnMiUos5rjlwQBPw6/+6AqXbE7QKnEBpjQold6lA7inLJ5WeNrihRLfE+4keIKhrwgjB/QosoRx4lyRuHRPIE4sSWJIDE5vG3JwZ1JIS/A8CLSgEghqgaReU0zUJFMTgnXTMds39GjUV/jsfSF3PTXNykKTK7Yptm/0uHDrgESscOtDNeqeZm5K0agNeOogPHtIc/lWS2+ouPLCiCt2Ws6cTphf9ukParzxug73PNln/0lFvSoJ/CaXn2/41R9Y5M5n+nzxzlkW25bt6xKWW5rJpmKi7tGoedSrlkpgCHxDoBO0clJLpq2V1uISVkYQG0mcCOJYEMWSMBZEkWQYidTuE4SRJQxhGCWEkSEsEccwKt8duPsR9CJBO5K0IugPY0Tc4+rty/zyjy7yxmstre4U7daJypDZjyv/0L8Mk+m/3vPYXyYXX/3d/7QBfqwtpFnsvOfciVN/9PTuI5XpqkciJR2afOF+SThUvPNVbd716g5TzZhOL0HLINXZTg97WuNFmkArBp5jmqEnCX1BGAl3ciJFFEMYSecgxIXtFyeGJHHuQmJTpyTV+pk7o6STPb4WBL6kEkjqVUGzZplsGNZPD5mb6hDbFT59j+QjX55hXaXCFdsE2zZ6nLfJsH3jMp/9hmVpqcLFGxRTTWjUIs4ekZxbDvB3wDASzE1IJidh/2HLcttwZqHChedVePU1HW6+u8JMAwLfR8lJLt8p+NE3n8OT5/jCvVM8e7LC+nbEusmYibqiUVXUqpJqoAl8CDzQ2jlMuRuVgRx3YScGkkQQJ6RAhyhxfnYUJY4UIkOYPUYmtR0zVya1IGMnSbqRoB1LOpEhHIRMBG2+642LvOumLq+5ClrdOt1BlSiu0u0erFQa4gPr1ve11uovcTzzTxPgv/T7nydJzA/c99Sh3zpx5GjT1wrPWpraYqymL+rc+rDkG89UOL28yL9+R4+pZswwiGj3Kmjt42kPT3v4YULoafzQSZMwcql0xzjCMVHKSnEMUQJJ4pwEY1zAZYzNejhTcDuAu8BV4GkHkEoAtYqhUY2ZbMTMTfaZnVrhvj0hH7+tyt7Dk5w34bFzA2zZ4LNlPVy0rU0vbvPg7iZV5TE3pZhswGRjyNREjO/rPHHVH/ostSNWepZWN+bcss+2DQ1ecvE5bnuox96TTWpBhKd8hJhg52bF9712gWsvOsfHb2vw4NOTLHY165oxk7WYWkVSrSgCTxB4Es9zsYpSpPahQ7nF9bAaQw70ODHp6pZai7EhThy44wjC2Bb3yLkyg9iRSi8StGNBJ4bBIMbEfWaqHX7yOxf5/3x3j1rg0W7X6IcVwshzmWEtSQb7m1Gv8/uV2cv9lRMf/8jkln88qfKPBvCFxRZKyR9+3x9+9n0njp2YCTzpRpABdWyatFH0VJ2Vgea3PuWx++Ayb31Fj5uu6rJ+NqTTrtLXPr7nE/gew1AT+M7eywAeRZIwdstuFKeedkJq/ZEyt8RYCnC7JGXK3KCVS5j4nqXiG6qVmEYlZqo5ZONsm7OtHn/4eY9bH55mabnOBXOCbesEm9f5bFkn2LFpgPZX+ORdmkPH6+xaL5lqSCbqCVIOOTlvCbT7/tYKwkizfV2bh0ho9xTLbcvZpSq7tlT4jpta/PXXfI6cDfB0hBAextaJYsk1O5bZ/t1tbn20x1/cOs0jR+psnhLM1hPqlYSKLwg8ge+5WEUrXOAsRV6TYXEXmbE4pyVxgM9AHidO0jmwQ5i4WpcwSx7Fgn4MnVjSiaEfGpLekC2zHV559TJve0WPN11n0KLK0kqVMPIZhj5h5PR/kkgQgqXFMzMEu96/cef3qnDY+qAf/ONM3PpHAfjySgvf9/7VF7981/v2Pfv0utmaW4WMhThxDokSAiUEXizoigqtUPPJr1e488kOV1/c5rtf2+PN17eYmQzoDwL6Q5/A8whjLz9YYaSIY0WUSOJYEiWCOJYkiSAxotDaRpCrEptlRF2ySKXJIt8zBH5CNYhpVIfMTnbpR32+9pTlr74+wYNPTzLle1y+2bJxWrJ+xmfTnGTL+pDzNy/z5JE+n79njgmlmZsQNOuCZi2i1Uv48jcqNHx3URsL/aHmrTcO+dIDriam1TWcW9ZsWdfg7S/t8uCeDrv3+9SDGCWFA7mpMQid1v++V7fYtfEcn7yzzf3PTnJsucqGpmCiYqn5hoo2+B5oJVCSNEGWJoZTqJtUqhlTrHBxCnRHEBAlgihJgZ0IBrGgFwu6CS7mCUPq1R5vf/0S73ltm2t2Jayf8ugP6rS7fgpud86iyAW3ceIK2LoGlnsH1/Xi+9533q5XmG63/eF6vfmtDfBWq0W320VJ8f133XXvb97+1a/NRL1lJmuKKLHuAMY29badc+FLqEjoSI+epzjRDjj1QI0Hnury11d0eOer+7zhxgHTkz7hMGAYe4SRRxRrohToceIOXJxIkqQAuLEpc5uipkwImwaVro5Da4PvJQR+RDUIaVT7JPT56qOST9wxydOHJxBRwHlTlo2TltlJxdy0z4ZZyaa5iG0b2hyf7/DHX6wTD6ts2SKYbGiadWjWIoQX0u7XmWxYhBBYC1EsmQ4UsYnpRD6dXsJyW3Fyvsql5zf4sW9f4f1/GXB0vo5WUXphaOK4wiCUbJgJuOaCNlec3+WZoyf5q69Xue2RSU61qtQDRcOHumfxtcVToKU75kKMVtcZwBp30SVGkFiIE+H880QQJi5J1E8E/QT6sSWOY0w0ZKbS542vWeHdr+nw8ssjJqoeYVRnuRUwjHyiWBNGXhobaQfwlIjixK26/UGPE2fvXtfq6t+8+NJr4zNnTv1ZrVan2fyHY/N/UID3+33q9frbHn300T/4+tfvaA57HZp1zSC06Fg4kEvQCajYHXiduGImXxmqiaCnfHqx5tywwhceqHPX0z1efHuXn/7ODpdsa7NuUtGsacLIJ4w94rgAeZIB3EiMlVjrJIHNA8o01a+sC2J1TODHeCqk3Y+Yb0f87mcrHD43xaO7J7HGZ6YqWDdrmZ0QzDQVM5Me62ckG2ZiNs/1mJlc5tbHDI88O8kVWwRTDUmjJmnWDPVqiPCGBIFGK/f7rYUkkfSHmv4gIjaCTt/Q6VqW2h5nFpvccFGXl1y6widvr1BdUmgZOUBaTZz4hJHr8ZydrHDtzi7XXtDloVee4ui85OO3TXJupcaJxQBfSeqewM9kmHSBZ07kmVTBMXlsBbGByAiGCQxiCI2FJIY4Qqohm6b6XLHdnY/rLkloVjVxXKfVccCOU2C7FTazJSVhrApwp+URg6Gk3etw/313ziRG/cHlV1y1PBj0P/8Picl/MIAfOHCA9evXq7/61Kcu2Ldvf3NlpUUQaKxInM8sQaVLn2Nxi05AJwJPWfzYUkkENSXoK0FPB/QTj8Wwym2PTHDfs33qwZB/+aYWW2ZiztvU54bLOmjhWsSEcHLFZSVdrbS1JeYmTRwJ55lbYpAxzxyWPLxHc/ODDZ451iCMazS0Yq5qma5bpmrW+eBNzfSEZmZSsGE6ZtNcn41zy9z19JA/vXkdGyc1c01o1hXNuqBRi6kGQ+7bpxiEGq/uQGWtIIwlFa24alefB56adIVP/YSVtsfCSsDZhSl+7M1nObGwyAOPz+FJQEQYyAE0DCXdvmaqUWGyWeclu3q88ooe3/2qefYcN3zpwQoP7qmy71CdWGiGQ0UvUqi89KEceKY5AWuIjcUagycSJvyQChEvubrLjo0DtsxGvPcNQ6q+pF71CMMarY6frqQ6JRyVe+0ZuLN7JiOjOLUlI1ci0e20eOSh+5oL82cveMu3f6c6dOhgcv75O791AP7ss8/SaEz4jz76yA9ikt9aWV7C8zTEFl9LBMZlJ2NSb1s4Blcpg8fgSYFnLEFiqShBLREMDQwSj37i0UsqdDoJv/nJKWwcsX5uwKXbBsxMxLzz1X22rQuJIpHqbQkl5ibVn1IahBR85s4qTx6sI7Tm6KkaJ8/WqFQVE4Fgsm5pVgzNCjSqgomaotlQTDU0M5MwOxmzfmbA5nVtErvCZ+5p0u/WuXCLpVlTNGqSRtXQqMR4XsitD1QY9iTeOtctmkmUelXxxhf3ufsxQ3co6fYT2j3NSkdzZrHGJTsavPPlbR59psbRpQZKGiBK9bJHlCiGkUvMdAeaVtenUa1Rrw65ZMuA6y8acPxciyOnV9BewhOHNH/99RpCucI1xucPWgMYsJYoTNi+Pubdr+4z20y4aLtl/QwksccwbBDHHsttjzhSRIlO46BUY8fZoyRKMmCLVJ4URoCreBTEiQChWFhYZP3G7b/12GOP9Haef95H9u/bHV6465JvDYAfP36cc+fmd505ffIPH3vsYSmFs6lcnlCm4LJICTqGWEIsLbER6NjpxCixeInTgIG2VBJLnAhCYwkTwdBIhokkNB6Rgfluk68/abAk/O2DbmQD1qT3LIuXWmQiq0iUSKWII400Gk9LGgHsmLPUPUMtMNQCqAWCelXSqDo5NNGQTDVhZiJmbmrIprkOCcv87t9UuPepdeycgalayt41SaMaU6uG1Gt9qtUagZIomWpwnByIIo9BX9AfJnSGiu7A0Okb1zJX9zlxdoKXXTrkp951lt/+a82xlQAhDNZGmMQSxR5hJBkMXRlro6+pV3xq1Qq1oEYliGhUQ665MMT3Iq67MOa9r+mhVZwmgQxC2FFRnko6YyRCSAJPAT6DoWZxWbu6nSSLedJ7LIsYKJUgGbgzZytLLMVpKW+UJ5ogiiGxgthYHn74IamU/MMoHNwzGAye/ofA5v9jgH/xi5+nUvWrRw4ffMf+/fuFEAKlJSTWgRvjgCVdk0IsLSqxqMRJFq2cbNGJ632Ms4g+SaP6LLI3onhtBKGRxFaSGE1kApLU9irf8iylAC2Ey1QqqFQtFW2pqITAg0BDxbdUA0HVl9SqklpFO4DXBZMNw3QzZmZyyLrpLpvWLfKnNxv+4rb1bJ1UzDYMzbqiUVPUa1CrJjSqEacXDQdPB1R8t3JBVuknGISaHRsMG2YHtAc+/YFNWVyy0tE0qhUatUne+5pzHDp9hg98fjNaaiyGxCTExhLFmmGo6IeuKKpXkdQGmmrgUQ0SWh0XY/he4hJmXoKWrlHClSXbNOhO61bcEUtBLmiZtMrSuLgmSSTGSGJTxDtxIkoBfva89BinNeqJSN9Pk0vZ8/RujKsYfeqpp0Sv13/H1q3nHfzC5/+2/+1v+xcvLMCbde23V879/NLiuZ+3JpSep7CWtI7b5k0KsXTpYyUFiXT2nE6dFZ04vzrJkg/Gpq9t/l7xvKiUc16uyAOlsuYG0kyeC6y0NGhJWtMCnhJ42jrfWAsqgaTiS6qBolpRNKqSRs0yUU+YbMRMN4fMTvXYtn6RB/cN+eSdm5iqBKxvGJo14cBdldQrhnolplEb8uBeeGJPjQvmbKp7i7R5f6i47iLLhdv6PPT0JL2hpT9I6PZ1CnKPWqVKtTLJd71iiSf2neOB3RvAKoxJXDlsbIkjm9eT9Iea2sBSrSgqviHwPQI/IdAGrRM87bLDWRmEq/2xICyCQs8VwbkrITaZI2Uy+7VkxWbANg7AxessW1rck3SFzkCdpCSWZZmNFbQ7fXny1JlfUrrq12q1XwPCFwzg3W5PDgeDX775C5/8meWFM76vVb4ESwHSCJSUjrWNJZaCRLmEgkosibJo4167A2cxCfnzJMu42SzzZjFpJi5LVlhrKWXeR1bcLFWdJXSUTDOWilLRlsv+Bb6iEiiqgaBWFTSqlmYtYaIeM9kYMjPRZ9PcMg/s7fPLH13PsROTnD9rmKxBs6qoVxX1CtQrCdVKhO8NaA1cNaSnLFIWnywxjuGi2KdZjejFhl5aZ+2arCWtqqLWCagEDc7bEPGrP9jiv35M8o3d67EojDUkiSFOYsLYEEaKQajoB5LqUFHxJYFvCXxFoA2e5/x+rWxa6+MArlKZIoQdbdBNU/s2JRGb1rIkKeATUzw6MpLpoygAnj1PitKAbHXOCSzPNDtf3mI5fvykX6nUfvb7v+97veGg/1+CSvXvnc7/ewO8121jbfRrDz907789efJ4JQhk6hKQJxCymgclHWCldF/ESAfuJAW3yZ4b4a7k9O+a3KMFm17hiS1+R3ZnDOCp7E61v5MorqbcSSKdtqJ5WhL4bgBQJXAjGaqBpV4xNGoJzVrERCNkutln09wKD+zp8V8/MsveY9Nsn3YOS6MqqdekY++qpVZJqFUioiTkz29vIJXCkxYlCpvQ2GwJ9/i+1y/zlUdCOmFALwV4t6/odBWtQFPxAwKvyUVbY/7bDy3yix8R3P/0eoyVJMal1aPYFZoNQ8Ow4spdg0BQ8QSB7zKbvrZ5xlYrg1TOG5fCxUY5wIuUJ5CSCC6X4NyWNJDPAJxOHTB5co2U3clX3KQMbENKaKRZ1BTcxqaEBRbJsePHK3fdc8+/e+UrbxKtdvsXJpp/vyTQ3xvgp08exlj7kqOHHq96MkQpWaSBTVHUY2T25VKg5+nhDNyZ/LDpMmXz7FrWfuWALlwdRQbq7MCPfa4M4FkNRpbJy9hb66zuROJ50tVv+IJK4Gae1IKEetWBu1kPmWz2mZts8eCeHr/84WmeOTrLlinBTL0kTSqaesXVr1QrMdUgxPOGnFycwlMirXVP9S3pxZ9I4lixccoSxxHtqJJ2yhj6g4TOQFLtKSq+h+9V8PQEF2+J+W//ap7/9CF44Nl1JEY6gCeWKE5SJjcMA0MllAx8lUswzwNPp86Vkk4iyjT4FyDSxzUw7uQKaVIIkSeHTJocyrLFSVJ63xSS0+RSxOYrsVutbSo33bl3/747sWHY5977Hq5u2rTtJVLKb4rHf1CAH937RWamW7Xbb7/LV6zQbJBfgaYkK5Kk+LJKZSdWkEjH1IkuruJRYGcyxOZAt5kcya/ytW9SFEVUUoKUIge3kjJtlMjkCVQ8CHxDtWKpBk4/16oRzVrIZL3P7FSLR/YP+MUPTvHU0Tk2TSrm6oaJqqBRkdQqilpVUK24i8Ol+kMe2C3oDnwqivQiS9vwbBFoRrGmXlHccFmHB59p0oucTOkPE3p9RSdQBL7C9/xUP09yyVbDr//IOX7uT+D+3euIjCQyJm2WLnowh74k8I1jb6+oo9cqu5PKlELGyTRmWgvkWVLIZgBPAZ/kzgtrrrwmlSKmRGKJKYBeLoQzJquTcT8/fmqJP//k5/2bXvOm2of+/Eu9H3rvt/3jA7y7cojaxNbJI89+6o8na61XxMOhS8XGYvTKTcCk0sTYYtlyjF0A3yixNmuXAG1yYJfGSKTaOz8ZwhUUCZmCOy0yUjnAQaUVg54G38N1AvlpgVWQUE3lRaM6ZKLRZ6rR5vEDQ37xg1M8cWQdGyY1czXDRBXqFUG9qqhVFbWcvRMqQUyjNuCuJ3xWWhWmpoo0eQYYYzJnQbFuRvGaF3W562HjumhCUwK5pOJJKp7G0z5aV5HScMlWy/t+5Bw/9yeW+/euIzKaKK0AdGWvjsmDSObVhb52lXyeFmgpUDo7NuSfL7sIM6kisqo0ioTQ+N2UHo0pPeYr7yi4jRlj8awWxrr4KzMQ4hjXEpf0X7HvwOEP/fsff9eP33jd0ZXLLtn+jwvweHiUzsKpn4t6e9+jOU2jVmcwjNFKpZFyGiAqkV69qW5TpaDRFFd8Jj+SXIaQs/dIIDnO3CnSs4xcrr1lVkFX6O6sYlArXH2Gtnieayyu+IaKn1CtxNQqEfXKkEZtwPREi0f3Dfn5P5nl8UPrWTfpsa6WMFGzKbhT9q5IqoFj/0oQUwtCYjOkEwYIJfEyBs81uEjZLfWLI4+6P3DlAmGFqQzkg4Se7xg88KWridfZBrSWy8+zvP/Hz/If/8hw/571REYzTARhYlIWF1QiQ+BZfM/1ruo07tDKlQgrKdPjk3blZ4+lwqz8wizHOmPgzkmoRExlcOegLhNZicySpPhZVuIcJa7m/PjRBQiOvOfmrz9+cDgM/9M/KoPb+FlQ27YvHfmdK0RyiCBQJCYGFEpApFKbyAgXSChRChxFwdylmuRsNJrNgklbBGIFUxRZSVteMzPWLgeV2XKbduioNJjSOu0MSouQsurBipekujmiWhky1ewxUe/wwO6YX/jTWR47tJ65Cc1cNWGiYmmk4K5WnJ2YgbsaJFT8mGY9ZPcRy52P1vGlxFMmDeIKjyJbvqNEERvNTddEXHB+l4PHqszVKPochwm9QcrCWqG1l3c5CWG5bDv8+o8u8J/+xHDPM3MMoqpLhsWWWlrDHXg4kOts9TJ5b6tUSb7CKSlKABclkLNKrxQgt6MAzysUR6XG+Mo8/l5uA2fBqHHluoMIDJrH9p3BfvHBKz7+G/9y+8PPHD563WU7/uEBHvWPYZg5L1y653eS4eLbTNJDySaeZ9JxCyATSSxThpalKDuzAE0mR8SqJS0LTm3uaY+5JKvckpS5x8EtLFJltmBa86JS1tYWXxs8zxB4hsCPqfgxlSCkVhkyPdFjudPj7qfh1z+xgScPzDKbgnuyamlUBfWKyL1y57wYx96+A3g1GBImCYN+hYpyF5kUYqSSL0ukuEBTOy2vhwxD67rSc4AbfD/B9zSeJ91UAenlAEfAlTsEv/7jy/zmX8bcv2eGU60mg7pkMrE0YkslnTgQeDb1/jMnxebsnUmVDOD5500/dBnnuUJMT0q2qhbgHpWUrpqzBPYxoBd6PC34MgWDR4nAACvtHmfPLb3t0zc/lLzl1df+u2cPnD5y6QUb/2EB3lo6glTz13eX9r2jffYoiXHTipQ0eNodgixbmSQi1d9l77RwV0z62i3XafScPS9JkTLAs0NcVoXZSXDjHjL2tqk8saXhQK4s1tMmHTOR5OAO/BTc013ml/u8789rfP4bcyx0p5ibkMxVUnBXnO6upYFlNZDUApsyuNPelSAEQu543Gc58pkJGKnHHrFRrZNzYaRpBppXX93jgb0hnShgIu9YN/hDV6vuawdwrSxKegjpEjRYuHir5Ld/us2XHujzax9ez4mFKfqTmklf0IgNtRiCyI1e9pUbaORlgaYUeRCcPZYD9fKFKUTeK5KfHxiTkGVgl+InUwZ/OQgtsXjWL5CV6ybG/a6pqmLPMwd58PEN79i8fuLPW+3+kX9QBh8OevhB9cKjB+79N8cPHaCiG260WgpqrZwPr4xACpu6JBm4ZdF0UNbaOagzCWILG2qctcuyJD3QGbNk6ebMBVAZwJV15bg66+10/Z2+l+B7MRU/IvAjGtU+Wve464mED325yc33riM0TdY1BbMVJ0ucBZj55Cq9i5S5y+wdofWQ+56dpBdqNtayzzPO4FmQLYliRcVTvOSSPrFxAHezRVI3JHQj1zydWZwqBaLLPjqwCWYnBe95VZdGcIoPf7nP3c/OcCaq0qtImrGlrq0DuU7jEGXTuCQtfpPZMRRF7bh0xRbZsR7fUTCXKtmICsa1ebl7qKg9t5keLwPfFPLEpGUZJk3vBBrmGordTz3Dm1+269+8/Y0ve6zb7e2v17/5SLhvCvCFcyc4tOer+JWJTcvz+1/Z77XxGjov1lHS5NOgEuucC5PXMAisNfnUKJM+jsiRTGuTJhNGgF2yHsr2lbBj0iTLypGWA5BPvsqY21OuFiPwInw/ouKF1GoDfL/HJ27T/MafrePg/DReUGFDQzAdJDQDSz2AetphXw1ctrOSJoRc/UqSrgROniy0E7qhj68UvrR5gEnpq2QXdla7EcYeVW/Ahsk+K70G/Uik49ZcrOB5SWrzqdTuVA7gI4Grq3x828u7XHfpPL/+8QF/cescS3GdXuBR9yRN7WpwAg2+Im+G0FnSJ135ZC5VigRQmVRGxUoZ6IyswMaOSs1Cm5Mn7Mq2cmY2JGPvCQEVX7KyvMwjj+1+ZRLHmxaWWvsPHz7Gjh3b/p8B3NqEzTteft7iud1/2l56hmolC3LSajScY2GMQRo3oMekWcnMMchSutYU9Q1Z8Fhkr0RJkogxaZKB2xZskmbfZBng0l1wcoS5kxTkMb52kiTwhwRenyNnYz7wpTqfu2eGQ2enaNY8piswFSQ0Apum3jNwyxTcMk8KVVLtHfjuwmnWh3z2Ps3+o1Uq6QSuvF2MAuV5Msw6HR7Fmou3w1uu6/ChW2bo1jTNdPZIEKZxgzJoLdOxdZRA7pVOllsVts1KfuF7e1yx4wR/cvM0h85MsBRX6XmauhLUUqD70roLJ3WZ8tUvO66ZfYjT50Wm0672yTNiykonct98taVoc/CWaolMAXxTXt0BaSERAiE09z+8mxdfc8mffvsbX/ampZX2N5Uqzwtwk4QI6bF05htb4u5jOwN1joov3WCZLNDJslxWkBiTl1sWBToZS48C3ubvkf/9jAUKVsho247owAzY7tHm2l9Jk7omGXsneDp2nTs6JgiG+HpIJwn5w0/7fPhLGzi5OIlRVaYnFNO+ZcI31FLmruXpe5nWqaTSJPXOc3D7Lns5jEL2nwjohgFTQeriZEmnzJXIsrC2VJMSaZp1zY4tISoY0Akb9H1BNbIMM4DrJE3UKOdjy6wEeK3gVTE30ePH3tbjHTed4cNfavOBz8yw0K/T1xUqWlHTgqqyBLF1bJ7W6WtZlDdkWc5VTM4acmXcYQFGYqlMb5eILAd0fsGXmTs7VAIJxNbiScWhk21uv2/PTqOqW9786muODIYRlcDjuW7PC/AkPIlUzblqhU/78R3ezKQkW57cFy7AbaxA5RLE5JIkZ+z8ZyVgp4AvGFtg1/wktmQH2hzYI/IkHxiUOIBrN0zI9yIqfojvhbQGIfc9KfnEbU0+c88Mg6SB7/vM+IJJ31D3LbXAUvMLcFcCSRBIglSauMRQ6kykAPc9l/k8fNpy9yM1wsgjqNtVAWZOHKVVzRg3AsPzNK+5rsMnv9pl74k6/YobzTD0LH4MXmTwQpOPlnYyQhbDfSiOZ2IksZHUAs36yT7/8bt6XLJtyF/c1uDh3RPM9+sMlI/naSpaUJUQZAOWMntVWpdPEJRAPlqzMl6cVWb0jKDGHbHstSkxdTICeFFImNK/JxInVYzx+cjNT3qveMWLP31yvvWiheXu/N+bwXWlLm34xPWie/NENVhBqwBjFCbXxiJ/noHXpIMsx0FdliX5PQN2KlHKDD5S+ON6dByT5yllk5d7Ot1t0SpxAFdJLke0jmh1I+59WvDRW5rc9ugES60GslqhUVVMepamb6h5lppvqfqkrO2YuxpIKr6i4gsqPmmFnknBbQg8p7+VHrLvBJxsVVxiJdW3o4mT4qS5PkgH8thIwlCzvim4cGufp47F9CKPYTrj2w9x4FPZZN0sUQNyrDMnZ8PUhowSVx/+7tf0ecOLl/naYx0+dmuTh3c3WezUaEmfrq/xlcCXgkC6RnAt3S51ShQXqRJp2e8aDL6qfmWcyUuEZigFntZtFJkBPs6GE1ny9zMmN9YxeRwOef9HvjrxY+98+fU3XbPzFp5neNDzAvzY6TNBOJB/dPbAnvoV23p42hAnCmPUKqA6ti6BewTYpfdMpkNLAC8dkBFeGJEmdqRAX+b15SZ9TNxA/MzNkBHznZi7HtF8+d4Gn797gnPtOqJSwWt4NDVMeK6Tp+qRyg6o+iK9y7TkNNXdviDI2DsDuI7x/ZiKH2JtxB2PBhw9XWV2WuBJk+pYUTT6ltguLz9NJUV/6LF9veA1V/f43DdCupFHPxJUPNev6qeTpYpVSuV+tZujTnFcrTsXeaOCcX57NRjy7lf1ed11i/ztPR2+dG+Nu55scK5Voy98+r5GewothGshlBJP2FRqWRSiJA1H7cM1yDw/t6b0aFJJW8gTx+CJhdhCgiDOJFzq0LiLI+3WMjHS9AniR+sXbb72j6Lw5CVA/+8F8M/cspeF5TZ33mO49bcGCJMQxR5xokuAlmkBjsAg15AicgTsIychXQXsKmEiRgPKErCFMKkdaBApwLVO8HVEpRIxGCbsPQlHTin+6vYJbnm4ybnlOngVdNOjpiQNz9LQhqpnqXpQ8Ry4K56bSejKTGXpLtKf2xTkJge577n2tIOnDE8dDsDz0mXellL0YgQF5SAsSbKaaTfO+fIdQy7d0mXPyRr9iqAWC4LIMlSk1p5J2TtzUzILstAquc+eWpHGqHT6gMcg9KhWh/zAG4e89YYVvvJIl099tcaRUxX2nKwRrgTEgWagNVI500ABOn3MmDyXLhTB/6pb2U2hzN5pFSLk4C5+ljkNtmhBxIBN0rLECGkH/Oy7TrN1cvfkxPrv+552z36oWVvrAzwPwK09KKKw929uufn3Z5dODXl4r+b6iyKCSkxVSZJIEYVpFzsZc8vUKZGj7J6/duAdBXfpkh9hBFvSfC6pkU+fFY6xg8BNUo2ThDOLcPvXNQdPVLnzwSonl6scPFWHIEDVNBWtqGtLXRvnInhucH7Fc+PaHIizu0zvKgU4qeZOwe0lBJ5jb3dhhRyeh91Hanhy1B7MJQpFPXjuKGROikn7GmOPS7f3uXBdj6cPxfRij0YkGGrwYzcTUJUALqVASDnC5AVTlspYTVZ/7vooo8Rj6Pk0qyHf9/ohL7+izcnlNnc85HPoeMBXHq1xarFC0vcwUhP5CiGlWynSrnxJmvGEXLasBfKRQJNyljpzW9J3c2BnBrgpnru0JkInSBXz4ot7PHPU48tPHJ78V9/T+ynfjz+8GkXfBOAPPvgFsPF7pD1YP7Mo+Ylfn+Gy8yNeee2AS3fEbJpK2HleRAVBHMpUpqic2c0YyJ00KUY5FO1l44GlLUXsBWvnUkQleEFClFgOHRc8dUhx+4M1nj7s8+zhKu1hwDAMwPNRTY9ACWoKatpQLfnAgc7qNLKyWVcXHqSyxPcVvi/TC8AW2ttLXGbRczq/4kdYE3J2STK0AVpLfGnRJZttjMDzc5nY0X7HMPYQaOamQ6Qa0I08elo4pyMqCsa0MiMZSJmZ1ADZsCME1siCyUuDkbxE5eMnekOfDVMh29ZHXHP+kH7Y518ebvH0EZ/bH6jw1OEKh45ViGIFgcJKBUKSyFI2KE9SrKFVRsR5mZ1LwCabZ57W12a2S2TQGHbuCNk8FXHxjpCbrh1y2c6IZw9qbnloN1+98xN4+rmFyJo/+e8fuIVP372iHnz0YXHi0BxHl2DQhycPGb7yYMyEF7NtS8TlF4W8/sVDXn1VCBY8HVOtW6xJv7QRxJGTMVkg6YLJDNTls07qq7v5JZ62IAxCWqLQ0hs4Rj9yQvKXtwX0IsXjz1Y4cDxgoeszTHzQPigP1VT4UlBVUFOWisKNM1Np4ZFyrO17wiU9yuD2JH4qSwIfAp/UNXEpc08bfC9OM6IR1UrIueWE2+9v0OoETE0IdOrFZ0Vf4rmYzZQCQiMZDhWzM4o33DDgKw/3Odaq0/ekkykavNjiRZlnnXrsMnF2IeVZJzL/Hcbq0u9wQPcTRaIVsefGPkSR56xUL6LuR7z88piXXDLk7a8csO+45IndHv1Q8Re31zh8xgMh6fU1Saiy8k2szgA+ZhmV07cjAAesQSQWYaybwGAs1XqM5xkEhldfNeT11w257KKQ7ZsTJjyYbbp/9IL1husvXkB6j4m59S9RPzT/ybg6956/O4NPNif/cO8RdeWJ+SlQBmoJxiTM9xPmOwmHlxLufzrh01+NmZuOscZy9a6Qd7924KrCEsvchOGqy0PqlVRKpUVZlrVWM5EP52n1BE88qVlsS6oVyYO7Pb54T4VBpBhEitNnfIzQRNbDCA+0RgQaLSW+ElSkpZICO1CWQFlXA65Tz1cXzO1nfZk5uFXaoyly9vY9g+9nBVpJzt6+H6FUyNcfU3zuGw2Ur53dNqK/n5vBMy88STLHQzEYeLz1xj6fv6/NX9wxQTeuUE91uJfp8ChLyti8W0gImQMsLaIoaf0SwE062kE7Jve0ItYaHScO6CpBKTdIf6oSc+NFMTdcFGHFkHe+qscgcuPcvnBPwEO7faqBYKGteOJpn3ZPpipJ8JyiPN95wrUGXnVVyOxk4voHEsO7XzvgqgsjrIG5Kcv0pEE5QUSSaPp95Zw6JBsmBVb2rvSDqT8EfuzvxODzi21mpxvNX/n9z10kRKKCqpdaNxYr01kPNsGYmKExnG0nnF1xemnfMcMXv+4CA5tYJqYM118Z0qi6+t8105PlSz11HVa6ioef8mm3FFJLNxPFasdMQrv2IKlBaqSUeFI4MEtLIA2+dEDwFfiqmNHnQC6KhgftGgGyxuMyuB3Dp2W1XsbgSekeE+gIa0NOLviEwwrBhMRP094qrcobyWIKCvIqWad5d7pRhJHHVEOxdTbEFwP6cUA/FlS1G4KZ1ZBkCS0ly+WtMv9d7neksZExpVZCk9bsF9IojpM0b6DSuewxUZygIpdLcJsTxGyZNemKYbhk24DQ9pHa0GoJHn5Ks9KTqFyxjAbVI4RuXddWvWJ5yZURE1MGG7uVvapAueIPjFEkkSJOP6uzqGW6r5IiSQRCKlWrhBdNbf2+ZhJ9W1t5o3MNVwF8YWGB1sry+08fPfyqWtJhXUXRT6CXSEIjMVY7y0YWto3TUobYWlo21VPK0F6xnP56vfQV1wJ4Wb+lJ0cITLblAmnNqVBFkCNlamVloE7TzpJ049bMNy496rSTXpFuvUcObtfWpfBTcPuavMTUMXjK4trgp9lRz4sIgojjC4aPf6UO2seToggwc3kiVjF42R/OhoQ6sLnBOmHk8d439Pnbu/o8e7ZBN/GoxW5TWlcFWAwwFSrLCZSDvax0MZNCslTgld1NXgujtcJL3LwULwW6kkXSzNWNp8+FSQcHJWhhETZhtmb4tpcZEEkqMwGR7Z+x2iEr4CDAaExEblTEkSDKYrh8gKrM8y8mBXecHqf+QCD7Z14l6iffb038E9+UwT/3hduRUvrnzpymEVhk5Mx+DQyEYGgFsVUkVrkIWOrRgKH8XFkSb6RaYY3vm7FbBvDR4EVImbegKQGecGnlQLhqQU+611qS1lSk3eNZIZGmNAeFdGe2oqu+ALjMZUvg27ylzfdNaXBOjJeyt68jpAw5ekYw364gtCaQjMgTWf5apdNdlg4jwEudjjD2mGkO2b6hz54zQ/qJZpBAkAi8xOLFqQ6PyZ2lIoWuRjoVstjOAcUWTSe5NDLoxJAoidLZ9uUqLVZLkMqkK4UprNkU5CL73Zh08zCbu14Z0DMHrIBA0QJHKR6zYxaysWVnLgO5MzLidEzcMHKbZ/U683TD2/y1FMIqgD+5+yhCCFqdfjr1tZgYpQz4BkIriLKsk1V5CjYLIMbLW59XmgjhltW8F1AgKVLEbioVeMLiiRS0qQTInufvpWRflIKSN9j6Sjiwj4Bbukc/A3oWfKbgzrp/tMkliqedPvX9iJiIL91X5ex8FW9C4ZdrOMoOCmOKtJy6zqosS0mfwdBNsH3zS7vc9+SAdlyhpzXV2BCm6XQli4KorODMFcBlvykLNEVuSzrrMJ2pYsk7rrQRxEqgE5nuYudqeeIU6EUyzeQJNilNKfFm8l3xCnCnNm++V8xznP+80G48AThe5iFHHKco1umwVQWmT9g7tOY/PwLwT3z6Nmq16stuvf3O606aJK/10FKkGzY5NveMq/mOxzJR1l3Lhff53LDOT3perSbcpt0iTSRoyK02laaM3XyTQuOqDNjSfcZsFEIZ2PkcFIXrR1wL4FnAmelunckSm+rt0Vpy34vwvZAzLcOjB6qgfUcG0ubp+ZzBGWVxd05FyQcu96XK3BOPIo+rLxgyM9mntVyjFytqCrzYfReVDk9SURngOJDnv0iOVWqKtG8yZUPlSpk9I0iUJFGGRAniFOTl4rWsHEJmIC+BOiuZcENWs1qVwu6llLQbsRhscTxGyzWKXEkZ4NaUYoe0oM9aQRwbVFC77qJLX/qyI3tfdu95F71xbYBLIkzMtxljr+r2IyyuSksKnN5S6bQq4VjdJ21FYqzkldF7Dur0u5XNpOwqz7JiBThszuDjJZw6q41Ia8CzUk/XXJx1qjhZovLulQLYWfOtY+9Uc2tyvZ1Zgo6xC3B7eXVihCDi5nsC7nu6gQw0vhRu/nZeQViez1Kuoy7ObT4aLWdxF2gmRtEfeNxwWZ+3vLzDB25uECYB3URSSSzDmHTlKlf9mVTOmbEL6rmYHIyWeSthBu5ESZQyjtGlTEdLmFIpcrkGyBYgH8k2Z0yeLdKlGEysJnNbli3lZGBefeikjMnjlaLkQymLEgOw5qpWO/q2JOHeNRk8GR5C+o03fPGWr3zvvhNnaA81XiqvBWlAY9zBHMlM5RrKfbr8Q5Ydg9LxLs/dyMCdAUCWQCEpah7Kow0y5nZbkGSvSRmcvA1rhMXTbhhPjYLbjVMYY+60Z9NP29s8nTUcxKV7REjEp+5oktgAlWcvywFm0deYORsjGpyxdj0j3XSoJAs2NQKPd7+6x59/aciKiegnFfqJwIvJWVxKi4xFXnTm7MLx2iNZsiZFCeSCRKdjHVQKcm1RxsmVRFlU4ioYXfa4GKJaWJTl6s6ijDlvSsmBXkiVVXJtbG0vCrWKlYeR7i9ngUpp8TBMNRNag0McPH3+9+7Y9ZY7n9h78isvumjzKMAPnYCJprngib3xzn1H+wReAEnxYaUVaQtTCbg2h/QImJ/vJkSJyUvyJAf6WHlmrsXHNGe+DUpptodSotDiacXdyLCbFNhaicJJye1A13HvGpNtytxFgKlL7B14IY8ekOw/VcEqDyUlvjTo8TqNkgAfd1Gye9afmjVAZEmfJFFEscfOTRGXnt/lG/uqRMqnHwsqErzE7Zrh5FvahROnOjyb6jvyK0usWBrPUTT/Zu6Kq3dx4E7b2ZQtgTurBbJpmUDG5OSrhyiBG5FNzFqbvde6ZWUc+cqTEagtst427fTROkknFyzhz7R3bpwcXBBH4VdWMfhsfZ5mtcLWuR5+IBkMXZ+eRhQR8sgHKD3PH5/v4xd/olxuKcaBXgK3ymu+C9utkCzCdc+LAtwuyBR5t7jOwS1HAF4e/uO67cmBnWcrc+ZO8LVL7LiuoAhLxF/fUWNxsYoItPPdyxfheA1KQU4j5GDMKKuOeNNGEUWa2WnJu17T4dEDTYZJhZ7yqSZOi2flrEqSgjtbK0zqiWdpcMfi46yYTXQt90S6u0SZbEWy+XMHcJl+T5O3zWVd/kLIojlinMHHmlZGlvnnYPAyvsrgzso4SFslfT+m1TXs2x9yerCMiXv5v5YD/GOf/jMCX/Lovg6dRCGs++WixEjim15+z8/fmf9fyJOxxzKgyyw+Ml6sYGxZZnAlSiyeyRWJ0qMA93U6AMjLtg5MM5za4uWpeJM+T0buWrnOnWePwqdvazCUPkqqNHs5eiGOZzDFcxyp3EkpuSkmZfA40QSJ5l2vH/DRW3o8eahKpDx6UuInJnWPBDKxpeNkXXuZKK+nJv1do/sWlZk8MaBzC9GNtlZpSYBKbDGsM5/LIvILOh7T4xkARxskitmH5AD95rfxkdgIm5Oha/ZwK8pEM6R7+h6OPrQPKZNRgD+9/xSXXbCx9taf+IMd9z5yAJHEzFTSYndB3sa0io2eD9vjy1Hp9Ui1IKtT2qslisiBMz4OWZYYOwsys6lNWmebvKbaW42BO0vfe1ljsnEzQ/IWsaynM07vEcoL2X9S0wl9UDqVJ3asPHb8wh09XqMDjca88LQbp0j8aOqe4KLNA57cH5KYgL7xqSSuZlunGlwJt5GrSyxlbOl22CiD3AVwMl81rAGdDzZ17ykDiXSAV+nuFNIUEwKy6VpJ1t2fGwBFcJkHnmPney1wF8S5dhFHGWBCCIxwm4khnL8/jCSNiuZtNw4IGs0djW2/UvvpH/kPPa+y3QH8wJHTzC+svP6K8zf83EMP76FeEVS0q6nQasxrLYF7RLKsxrdbgMrL9BjIBS6fUwZCAeyij1GVWFGNDNXMQE5RI61KoM6fp0keReqFO3A7ABdDgbyyPCmzt0r7Ov2QpY7hf/5Ng8V+BRF4Tp5IO7KqFINzvoloy2uORLrzSpnBnaMSx5pmTfOT39Hha482WRz6hFLTlxI/7aEsRj5k56hUTy9MXkZrMSm4TZ45LJwVkTK4zYP0DOxKipTBHekluYtCLlMKHV60ExYyJYvlCquwPANxLb5cXUOdX55ICVaItAkCBJouVaI4YrK6/edU68l7Tdz725zB733gWaqVgP37j1AVIU3fd8mS/KQVHRzP1XT6nCdyLYCPsVuhwUUBcjkuUUYH0+TAlgKpivFjqgRqLSU6lSQ6B3imuU0eVHra5OD2dFZ/Mcrenorw/ZC/usPjmYNVkB5SSoKsNLZkbeZ7xKdf8jmrCUtsXnSXFyCPjUw3efK4fGePt728zUdvqWB0QF/6BFLkSR8lBVEpoBtnclFm8lL2sFwTYxQo61YF12NLPtvRsbqgGCtRzKIpJtO6Pk4hR+VJ7qyUiA3xHEFn/plHf5LjRljn5qWBtSl541GUoFaOYWyASYbkAK9VPKoVL91E1PUmKrlGynnkAzKyoox/0PJJLXSoyL9c5jCsxd5FYCkKNs8vtm8GcFkAPE/0ZAC3bk52KkU8VbglXmk4UKG5HXt72k2tWm4ZvvD1BgutACqpeyJKwdhzSBSyGpExclrTtsunEkhMkrkpmqmm4ttf1ePz9w1Y7AaEStNPZGpPitS9EUUztiwnVhywrS26fkzO5kVvpM6cFZU+l+lrCYkiP+5lkAspSt332RDPVJqM6PHy8CPLqrFw6YSGclo/x1CeP7H5sSwaziUyscSJQomEugkQMsgVmX7qmX2sn5s679avPfRTdy2eZqap8LxRxh4f+lLW4WM4XyVLLGMnO2PqMQYfYe+Rg5UmTkaAPTr7u9zh4oa7MwrubGeDjLlViblXMXg2bqIYOaGVy1wePiLYd7SCIUBInTfnFtWDZUIQJVej+PLlWpSCyUVJnojcycjbzRINVnPx9pCdGwcs7qliE9+xeOJkii65OAV7lgu9UsGdldGCe523FaYriSzGN5RjG2XcRWMkqfbOzktBRjm4jUhnqWSavCzZRkHqMGPzFyNUMMLw5T9TfKcCLxYhqkSnlhCV5k+t2/q6x8+d2X9ECwzDMNxQ8e0bzHCJ6aafN4mOtrivzdRkF92ajD32urwKCLHqIhIlUMvSa5kz9yiw80dFOgq47IOX7+mW1qoM7hLI0/3qvbQ0NGNvlb7WOkKpiC99o8H+hSr4hTzxStblyAXL6nER47fRMWel+ovy7mZZGW2oOX825M039Hjo2RoY1xvblxIvSY2AZFQq5cw5YsmlILd2ZFZN/lymz2W6qsjs7o59kq4YUqSsbrIV1ubEVCR8ys/dyl1ubxOlwDHHyypQjyJvtXHhvps7hpozC32aG+QbpsLhhjC0R3QGMk9Bo+qQlSTlCaGlY7Mmwlf/0vwqS9G8SnePgTpfcsYCtAzQYg1g52yuRKkJtwTudD5hsW0Hq4GtiwFB+Yg3bVKQx06eqIhqLeQbexV/+/U6/YEPNY2WAk+MSbmxz1/+zmsCnDH9PWYZJmPFRRMNzdtvGnDLfT0e3Otj6x79JMAX5Beayn9/oYNH11kHcjsCI1NcYMqxeSKdHjcl1s6CepPFZUaU9LcoBbqjMVQha4u4wL0ncpCKMSCVV71xeNnxY2iKUXidLoRRMQJOR3FMFEYY4wY8SiVJpC1mdVNaTsfA/DyYX1Ozl7/YuDyRazzPpYgoQC1VafcGJdLalALcBcizslmL1sUIZZ1uwqTVKNC9nK3dXSkXYPp+SBQm3HJ/jWeP1cDzEFKloMqsVDtyYteqIhxxVMqsnY1FGJvfmFXPmZJdGIaaS7bFvPGlXZ44UmUY+yTSo28UfsLYZ8m8cMYY3D3asc+Cyi42g1EClc2xkQKr3Pi0TI/nK6oEaUqzDE2xashxgI/HJSNkJ3K2fp4Fb5Qc0pqVYrZ8sR9nkhiSOCKJY/TNX7oFpRTtdptqxXODWGQx2tY5MXZEM655G/twIkV1+cSu0tysBeqMscsBZrEDQSFNSlZhztgZwIvJqblESZnbMbbNmVrnj8VzLw0utYoI/JCnjwq+cl+NXt+HuocUWeUgJXtwjSxm6XuWqSCrRXHoSisL1yifLeaaqLzbp9EIeeONQz5/14AnDgWgfQZG4qdaXBnXdFWWBiIhlwdug94SD6rCydGKQrpIx+bZqpIF+cY6sEtTJNoKV6O0gpmC2cdzHKvIbwz0o0drNaGWwT1SapAIEqt59unHOXzoAEmSoJcWFxFCkCQxlUCnG4y6L+CuWFsa8/C/C/CxwPKbsbgsgb2suXOQO71dzmaq1KfPKgpdO1f6XJfng4+BO7172RTatMBfq9jddYTnRcQ24eZ7q9z9dBUqGqRraPZKJbwjpbHle/nFc7DQ6Dx0kY8CyRyVxMgRoA8HHq+8vMebX9bjmaMV4tjDCkVfaLyE/DOJpGDx4iOszeTlIfZKZczt2Ny9Fkgjch2e+/0Zo2erbcrg+dDOMXCPB5wFyIvAMwf28x2z9KvkZQaWfLPZMJLYVof+oI8xFn3BNo2Sgk4PTp6NGYSu5UwklkQYZHkrkRKFr0pcloKBcUlSsLd7IcsAL7V1lXcWGAH2iFQpp+lLdzUGblW662IT1AzQXgnUmXPiHBP3qFSE70U8fkTy6TsagA/SQwiVdxGpdCNVOcZO2fcp+06jAGOkOM2OnKxSCW3iWvfcFFqVp++t1bz71X1uv3/AwwfdJIHIKHqJSAu+UtAlNl/+R8BT+izWWsfiZfCkP1Up6I1M9/PJguJMe8uUzYV7zM+hKQ3slKWLf5WbUpIoY5Lum5EClGc8Ov0dxdAbWBZW3GxMhEUv9hKEhDhM52oLgZVu6RRCjmxHAWvUBjwH0PPIeESDl6asjunuQqqINFlQWE8ZwPM5eWWQp61pxWZTbmeHYgB+Ae4R1i49Zo21mVRRKsbzYqIk5s4Hqzx1oAqeB9IFl76wpcmx5cBKrAqsxuVJBh5bepI3QJRqREaqCxOJUamjkmiGocdlOwe88nrH4v3EsfhQ+AwM6EQUgV+S2YWpI5GULrKy9Cy4y3UbSrDKVZEqi8t+WoGwAitAWlFIlVJQWbB3el5N+cIvzXVHjJBgOV3/nAxuy00RjOYPssrIBKqVIZ7nvpt+6qAhsYKqSpgKEixpD6S0CCvIanZMCdjjMmUk2M2lSmYJpV+k9MXEKmCnV34G6NRDHqk/EeR77+S7F2fNtyMND8XWJUqNgbs0FD93T1SC0iWApxLF1xH7Tws+dkuDYeRBzUvlCXlrmirvElx2TkaWsOc7WYxIv0ymlDcHMHYtLa6pB5Lvf2OPm++us/eku/gSo+glylUZJmnyJ/VxRSIKt6K0kmTrcRng0hZaXKYaXRqLle4cWSkcwE0pVsqY3JRjqdF7ea+iUZepDGrxvAAvX4wj8+XT67caCLZtlsxMQhSD+uAf/c766br3f585cexiyloyNXFzIMpxdh31p7PAUI3IitJelavel6m1l40DTh+VHLH8xu/ZyISyx50/6kJ3OwdlFNzlvXqKYqp09wcd5c0Mng5JZMhHv1jjz78yCUEAqoJSmpqyVJVNx1GQNzh7pda4IpNaTkRJismwjASoRSxR2I7ZRSskaeNv0QuppEVYw9YNIScXJI885RMLN3nACIUQrpR2rbhnNFYS5T6E4rUtiZry6l3w/mjnVrkEGFECYFbHvVa8Uc4DjE8cfu57eWpxvg+QKS5OpSAxik3bXrLh/Itu+qo+efL4ZDjsvknLBK20+44WVyqgimWz0GerK77ygzPumKRPys/lCHOPvs6XujJrj9SB2xHtLXMwFJJElbS3ynd6KG1EpeyYJMkqBTP2jvB0xL5Tkk9+rYabv+LYO+/cz36/YGS8sCx973KgKcovcgCNgcOUa0OKuYIu8Eyzmla6sQkq1eKJ5rte0+Nzd9bYfcIDGWKFZJB4aNJ6kexYJykCkizxk0G1vDK71xZXkpp9Npmef2lBWidbMt0trfsdNt1ZT5o0QB1ZnUddlLWkyYikE2sT+MhFtsYFk6XNl1YiFpfab0Icn9SYGCUSgnTAojHpciVsrrfKu2mt9avLe0COa+7s8TllSVnHytHnZYC7LpJMf5eeZ0DOqt0yDV4Ct5vIatJHZwcqZVCZ361ilIxRqTxJVMwX762ze3+hvaWQzvvOO2hY8wQKxl/nl/+qk+SejzYgj3jipYlU2ghXmyKLFH4YaS65YMhbX9bl4CcDwkSB0CRC0xcCnaT2HVmgmzkqogyVIgRO9ZK1AmXT2hCcNLHWplo8vQtbpPiFc9ukTUtZDSOJnjLYyyvKONgpPz6XTMlWFcq4HM0KD4aWTi9CB0P0ZNMSDV2NdJK3CaXM7eRbunLZ5/yN5T0rCzIv20HjX3B1ImDt5oZR1s5eZ6ydgT1j7hzoqszkhe5WWRCZbXEiDVoWQ/OVSvC8iEOnFf/rs00G0iOboFV0zacrSLkGuvQ9VtUpPNc5Glm+UzfDjm33YsoaXIzUpyRGEyceQRLzE+/o8jd31jh4SoOKwGgi4dEXApUUjoYsB5tjIM+8eQvo7IJL35PWpectNmXtzBM3I2xu099jpEDYYvVYbSakwC+x9Tibf7NDOOqJl0BuIIwsvYHB6xv0yXMRS0sRvYEhCJymHtFPoriqS4heDe7sg60ZIZeSOmmV21oMWAa2GGPtLJEyCm5TSBQ5yuB6xN9OwTzid5fu0rG4p0PaoeEDn29y8lwASqfWoEzliR3xvfPnpRM0ylKjia7nOlHloCnbY7IAd+YWyPyeN0NIRRJrNs8N+ZG3dfj1j/m0IhcQWCsZGuVswyT7HBYSQaGwC5CPy0+Voiad31Q8ysLxkdIWDG5L5y61DG3O4GutdmIE0CP4eQ6A5wRq1wZ4VkNVr8Km2YTZ2RidJBprFKTgyavbcMuQ+8ti9S8tPRmPihkHdQnc42AYZ+4M2AVr21JAmzUW2LzxVeU79qZMrk3K6CaXJk6OmJJUyRg7zh+1itBBxGduDvjTv24yNJ6TJ0Ll8iRvKh6zxEZ0d756lU/P2hC3BYGWrMIy6LOUvcUYk2c38xS+cVuBV3TMj72zy76jPh/+otPioEiEZGBcwCkTcgYvCrCyE2dLgBmNu5QtJIu1KZuLAlCOdFI5O5L4SWWuKP/OFOwZyY1IFLGawcflynjypZT0KWtxgcAKD4SPvnCbYKku6SxJBqEgTsoLgPsNcuxcjZyu0gcsfyhZOvGI8au3xNg5qMmzYAWT21KQmW7RXd4yUJVdB1OSKhmYS0wui+rAXHfnj27W4NIy/M3XaiwPM3A7gHvSaW8tRuXJyKqT2WUlPK8mg1EHIQN5kZljTJ5QbL1oxurEpUQZhTGaONFM+AnveG2Pz91bY7GjQEZgFBFOj49XF45ecs/N5C4PVCSFsvqULNi0KYvngE6lrbGrz7lMqd2ppFTK5OAuNyWPYkmszQ/5+6PTeg1LrZiDxxOWexatvT7a6yNFjLHeKGifE9BrfwBZel1m9bW0dh5olNuecsCURkRIO6K9CyttdVCZDacpwJ2MBJhZkJntc6NL7O3VYm7+eoUHn6piStrbNTVk8mS03iRvzYJVS+yIz/ucJJ6ypy2tnNZSLqEtb9aUB51Womzhi8eJhzYxL7k85C0v7vHxL/mgQhASKwRDo1FCuC1IskBTFKAelyuZNWits2szZldZKa1NA08KwBtrR5k7XfWtLM63yUgsfUOWFpHRjPfoMStCm+INQUlCl/8dBIKExEZENkQ/vFuwvAiHTiRMT7ghL+PJmfFTsmYafuz9cT2abXdXMMnqDFi5G6XcClUGduGipK+VRacjxrJtxZ1cSUYlSeaYyJJEkc49CbyIg8ckH7u5wZmO7/a7lm7QuxIUOzaMxQurvmfZd16DvcdvI4meESYa22rRlPzfUp24ktmj2/5kfT3hB97S5d6nAg6elSAiQGGQDIQsbSLlzkGGjtzGLF9wZT7Ps5npeSizuXDPMzBnsiVbid3PCpkiBZj0uRlrrcuOYfGZSvI3Zf1sBbCl41tWEIEvuGCr4kWXwPSMRSt8JD5YVRz1ki4un6e1NNK4/s7tnzGgl4E9orlFUeLpdLottHfG3CoD/BjI8xnZ48+TXHtnLK6zccAqRskEndqCvh8xTAx//FdN7n606nrbpHbaW0rXtSOK+Sv5Z81WljHWWStYyo/fGLjHtWPuZNhsy+ty+Wy5jNa1m5nMUUkMsdSoWPPKa0J+9N1tfvmPfYaxdBkoI4lTV0UaUfps7mSPdLlb15JG6fO516IUG6Td9RastGmAKfILIA8684u+WPlsCRPl1X2cvd3P7WhySjh3piBzUWq2sTnIjdWYuIKJK+gLtkoWq4rOosak3deu3Wjslz0fU2fvZWw9Ang7WvxO2e8uD/ZZg71L+8/LteSJtHm3t9s225QkSmnsb6a70xnXeXApYzw/5o6HPT53d41h6EFV59o7Z+88sGXkvpa3P7KskgWca9N3KcYsaixGwO14x5bZ2xbzxKVxUiUDehxrqrWYd7yyz21397n9YeVsQyQISSQ0/WwVTT+loCjIAsfCeSlvaZVxFmEG6vRzSjesXojidWZIZEAXObBFytylYFdStDeKtXAlKEbApc8zrFn3b2T4lulnjhM4s2A4eMIy1QPdC0OGcZRfZYWMWOOKGr/K5PP8rCxD1mDxMmOPBJUZ2GXJscj0b76funuda+98EmoBbK3GgK4KcOsU3L4XsdK13Hxvjb2nK06aCFcSKzLtLShNkLKrwJ2vQhQnZXTJf/5bNpIss+RG78XeoquHAxU1KlIqpEmQRhMNNbs2RLzl5V0e3O3TCtP0q3F6PESR7QPhNgIZb2kr1hyLS+7kF2Q6l1KlLW0Fm2dSJU34iLSGPAe6oDxCImdxO46zwqfPgV7CWVmOOJ1PibVdA3S2HAb+kFp1gD52WtFuCVY6lolGiV1Lmnn8ylrLISmDeq3sXuaQZP9mVqQ0wt4iCyoLYJfBLAQjwaXMB7PbEcYeCSizRE7ZRZGuU96Q8GdfqvKnn21ghXa+9wh7U2hvucbnHltuC/k22pj9XOw9UsnHGKhzJl/dymbygfAGk0iMdL64koYo8ZDK8GNv73HglMeffk4TxQXIDYKhkCiTDZLINGkJ5DmoRREJyvLbmQ6nALpwQJbZXxOZVClGTGRWoc1xUtLfMltNSqtiWkElkrHVEgdu9/tSF0c4XSSlpNlQbJ7zWLdOo9dPSTyjmPfdBkLjcmItz1o8B6jL8mPVz8YZvBxUlt7LPO6M2YvNltzcjXHHRGbgVmPyZGzPepXuPeM0eITnRxw4I/ncnXW6XQ+qajV75zXfpdVFFAmeEZYZew7fPMlTMHgJ9CXJUi4wMiar9ygBXWZAlxjptLiUmihKaNRj3n5Tj1vuqXLgdJpUyDZzEoJ+6jcIAcJk6eoC7DYHdeqWkCZ/sos4d1Ky1L1jb5UzbCFDc6DLwsGRucYuwFxgRJR+VjB79n4ZnyZlcZOVHFhLGMH8siYRHrpaCehXPALfVcLxTYA9Uts79udE+WflZTtj6ez1yFJvV8mTbByYKrF4ObEjRXkwe+acmJHtNmRJlkiZOiYpk2sdM4wMtz1Q52uPVd1wcOk5gI+xd1bkpYRAjh3c0cKxEpNnz/+Ot5FioTGZYkyaPcx3kHY1+k53m0KmGEkiJCqRGKGIhprXXhXy2pf0Of5lj6FJ2ctVQhGjGQiQprRtVcqCiGL3aZUvQ5mjkl4rghz4CFGQvXXn1Io08CwD3RYN0SbX4mUiTP88ZYZPf14yPyi/n7G4u16czWosQmm076N3XbB15bAMbzl13P8XiUlGUvIjllhpaV4T/Gsytl3zwiicCErLVwb6Yv50AewM6EXZ6KhzMqq/VZ5+T0rPY6R0nTrSj7nrYZ/f+MgEidWFcyIVQki3D5Ao0vKjDF52fNZm7xFwPx/Qx5I94yn7slwxZFOv0mIsUTgquSaXzhsXRhPHBt9P+PkfbLP3hOauhyTGFylk3ReIjKI/IqhsSZasoclzLzxdbbPPmxJWpsOz4NFQjJKwojjH2epmxZgkGbMLxxsksr+fZUOzwNLggk6DA7eUCiErt0xNb1xRr7x+UzfsnztY8fnR4TDGZFFwzrylTGKWPleFHs3n4mXlo6mll/VKjhdMOedj9DG3/vLdw8oB5FgyJ63xfj5wl6WKHknouF7LE0uC3/jYBPc+Vneb8kjXjob00FJQlRBI0k2u7Ora7ZG7yI9JPl1LlkdZuFpwqcYapku6vngtShf9WFa3TAalOYBiXOqVf2ZhdiYm0JYHn/RZ6ZdqC9IwM5siXlQcpgw5Avy/y9VauhDG5Ffh9Zd2tS6XhJRikXRJKF3/olQTVVTRFL9u5PJkGCYMI5+jJxZ+4LHHd+/VJ5d7acuaZTBMmXukoaFkj5VS6qvkyphEGU/RukCiPKCR0ZMzsi3GqDSRa2jubIeBNe+qHFimpbDp88RP+NjnJ/jbr9exFYXbl8XpbyHlSL9l0d/4PB3zJYbJ9d3qc77KA7djr8uAcM9Hu+3HO3xMOj/QpsxtrSlqVIREGkUiNLKf8I5X9Xn2kMf7P6gJg7gAuBBY4zEkncKV5dcTZ2JbbAmUNpUlaXYzrWzKyqltyto2Pdc21dmjC0LmuJR1tfuVNg0krSz0uBBkJd5uZUgxSEmnS8g7jZQU1CoWvzJA+wM3OfeOh61rWdOGTZOW6QmF7xXAzBlm3D1IwZlLmax1i9GLYBTwawBbFJq7uKDsiFQpiqtM6nuPAVyZFMAZyMvgTpCl2pPbHwr4yJfrDJJ0Cr7IrME0aynsiPZeMzW/SpqNB95rSJXnYD+bBkaZ97wqo4ldVUJrZSmzKUvOilCuMEumxVnSkBhN4Bl+8M1d7n/C5/bHnF2YeeNIgbGaoXEgyYtIxq3DFKm5lBIChU1BXQJ51vQgMnuQ/M/kQJVpyUCJJDIgF+AuKiAzmZP77cIFrA7dpLUtroNqakpx6U7L9KSbDqGnKq6UxrkUJgdsLkHU6Mkug3Mtts5fUwJ5aWbeKLALTS5yth7V4U4amQLoIzrcjHrg4+wtkyLA1BG9IfzahyY4dDLA6mK35BHtnUmkEWCPAZo1wJxDWIzi+XkE+cjSnAGnpMfNmnp8dW2KSRtVjCyzuEIkBiE0MjScvzniv/xQi/t/NqAzSL+MkfnnStAMMnmQFXebAuRWAiYFtSV3WFQaUFpJ2pWUgjmvJsySPKVjaCllNItEzihRjLoqVpT1fFG/nh3ibNtZYwTtbhWsIjYWfdVlG5FSMeh36HUW8b2s/9HmHetlDVhovfJJXy1RBGV/u8x8xUixshwRorACC4liSkmeUl9iyuY5c4+4JqXdeVPPW+uIOIE/+EyDx/ZUnOctM+YunBNPjMoSJcYv5hLYx5jbvZHVVojn5OtVTD7mnBQNEBTFTNYVM62qNhSOwfOg00gH8kRiRHpPUqliDFdfHPGT39nid/5qkjBJWRzyqDBBMTSZFk9z7SWQ5xJF2OKjC7frni2zuQRhMj8ckIVvnR1DO3ZMs5ghGyGROXA2vwgyyZNeNBRODwJkYggFrLRhsTlBIpvESYJ+x9veRKVa4+D+Z7nnrltRWuUDdLSyozp8De96HNTjkmRNYOesXt7AaFSWFPp7dH/Ggr2TQpeXkzoj9zSwrCR89YGAD3+mQavvOQ8w9bxJm3Sdc1JkLctSrKzDi9Fsa8wgHAnLRP5ajAN6jLVX4X0E6JZyAqhg7XQqbCZJykkg4WzERCqkNa5eJVY0K4YffmePR54JuO0bCmpxytTpJ5SC2EgGZDFFAXJLOk4kty2d553Gqq6sN5MwpgBnJl9yWVICemYl23Ec5ZJldI6KqzUXeRFXoY3cRzXW0B6GvOwVV/KiKy+n0+2ipdIo5ebtCeH2qlnlaMg12Ji1AUzG6CM6azWwi78zJktKkqSQKcUOuw7gyajfLZ0VKPN91V1gKWWM1DF7jmj+16ebHFj0XRt86ne7R1mwd9kNWiuoLMuTEWkyNq3puSV3IWvHalEKFi8SK4XTsFYaf2xIUFaIZU2+qazIpIqwCKmRkWXndMxPvKvDkTOa/ScFVpcFlgDpkaQgZwzkpEkglUuv1O+GlMVFHmhmGfBcf5ekSwb03PceT9mvgS+RFlaZPA50F7/Mj4fNtyv3PIXve/ihh3Y7ALtNUAPP5oMri0aC0eq5ck1BGdQyBTalPyPX1OG2xNZjzJ1qcZXKkILJS7pbmfT1eDKnALpSCVLG+EHMmZbg1z7Y5HN31LCeKtLxqTRZi72Luu/VKfnyCVgrqVNm9EKHjwJ+hLXHwJ69t7ompazDM0CXA9Cs80emIMiep8FnYogxeNK5Kq2h5Od+W3F2RUBQpluBRedMXga5NS7As6kmt8Y5Ktak8iV3U1KdnAWWZVmylv4W5PXjqwL37HmJLE2WdLOkk9fccdBYhqEhjAyJwWnwwBfUq94ZT4uvNCem3tDvddKZHnYVe+e/SI79UjL9+dzMPrph6Bh7j6TnzYhzUt46WmUVgxnAS5lKmbom7rmrNQkxfPG+Ol99qJbWmqhcloyyd7FrcHne4Eg+YI2DXlTljWnxMmGLtVC9Wq6sGoOQecSmqNIrVxrK1E3J9Hgi0klkxuTOipQSY1X6nkRYV3EYaMvrXzzgrS/t8ee3SMJYuLRt9uElWDxiKxiYAuRWCBeAmrImT6ehpQm5dKa+A3nK1tn3y1oWbYmxV8dxReAoSsdvzRjPODfFSLcwYw0zM9NY5FeU8s9YK9GzGy7kq7d97oin/f85MbnhDcP+Mr6n8dKgruyaMHZF5XJElDY9ygAuxzX5GLDHdLgYkSijwWQRcKbAFgW4HVsXzolM67xjYfj8nVXe/6EmJxY88JVj7jywlIgU3HnWcrxkoHxAs6QLxUkYOfCFOBmVKiOYF6uAvhbuRybOMlYfnvZFZlWGVoIxbpPWzFGxxqY63BGDEYrEpOcKSzQ0bJ2J+bkfatMaSP727jpRktEj+ZJsjSKWMge5TfPl+aMElbF3ptVFqQDLULIKbR545oQxwuaZVLH5MRPp//JLT4zuWiGEzQeAWgsxMVu3bETJ+H/ec+9dR97z7u90e/RYE5EYgRAx1cBQDRK0LLJilAA9uuKmwB97HLV/7GqQ5zrclrS9WRPgUpWBbkoBZgncaUCZWYKel3B4QfLhz9bZezCAhsolSZ7YkTKXJnmfJUXmNXdMVrFHepcZkMezf2PMPfLalo7c6mSPg58ZS/gULorMqxBH0/dSpCAXNvfGRc7sMpeNRiiEdd54NLRcvDPiB9/R4aGnfI7Ml65gk+lOJ0NiKRhkF1s6ws3m83NS9k6/pBVjjkouUwoXJJcr48d2jLEZA3x6mRU/LxGOUhZpDcNhxHAYMhyGQLoJ1Y7zd6G9Ks3qkDN2N1qP73X+HMtrGfBijMGz1S4F8rgOz5I5OYuPAVvkwaWhcFNMHmDmsiR7Tzj21jphqSP4vT9vcudjlaJKMAd2IU18ydgY5EJmqdKBX8sWXAv44xb43/VW7q4fqSq0ZfmSSRYHqFymiBL4S5lOKRyLC2NTcDs9LoRyl5EwJD3Dq64a8tPvbfPfPiRZ7pOdtNSIJwW5Jk5PbsbUlBi70OfpZAZTBJtl/W2z4LAcp5WKqFZJkrUO5tpLXloyq1i/YStXXH4ZnW6/APjs7HompjfeJruf+Y3KluHPtTuWONHF6LA16gjyS7D0W8s6vZAvz+GclHV57o5kPzNryJSUsYUpsbZxkiTNVioVMxCWP/5sgw9+pkEn8dJs5ajudrP7CudkpKiqdHDHs5cjTL0mmC1CjPX5/R3BXR6+aUu6dcRtKdmF5Y1bZWnkW8bcRgqEke54phV2STq/UAhDYhTEloYX8aPv7HB2UfH7f96kn6HNZGxeArl0oyEQIoeAldalxNNuGWvSsRJjpbayuH4RtpSZzP3vMWA/D7gzh8lQuEnDyGJUwP3PnPuNH/uhi287dvxUAfCpmU0s7v2xXiMQh2lExLEhikinKI1vVFSkl0duq9h8TMNSArhcg8HTQFKM2YIy1dyZe5KztiqALlNLEG14dr/PX95Wox1pp7vJgJ353q4GzRPloNKOaG81xiiCseflZXQN9qH0d/4uSM/T9eXCpLFiJAdkW7oICmclGxQkpHRgTkHu9KrECOPiJKNSZlepfrXEkaFRifnu13f5yjd8Ht/nso6OobPHsiZPv4sp/oxNa1OsKMZvq3KwOcbk2QKRWYVSuC+Z6fCR6qkSuAt5lh4T0uH3BnpDgQk8Hjq4ePjKd/xK76nP/XIBcABv9odRqko3/CqC+/E9F31nIDd2HOhihIEKzVl2TZ5Pg5uRwFKUXZMRBi/cEylKWcqxVLz2Ep485PGTvz7FU/sDrCcLWZIzuCzZgjYf5DO+U8Na1uBaMmUksSMovRL8b8kVO/p01Bcftwtde5ZMA7gs6Mwki7PQnCfueMb5wzKbmGUlwjiAJ2khhwgtV14Q8Yc/t8KP/nfBUwfS4CSj3ZzQLGRMTlqrLgRe6rDkLW2pjMpWxexn2cbiIy5KHmgKspL0Uri36niY0mNi3VY7iRUMw4i33HQx73nHK+h0+3z7OMBR67G6jhFNtDRIHbmRBPk8vNEOb+uiiaJ+PAsyc2azI3q87HePanAz8r6SpvReobvliDWY5HagA7ehYyV/9Nk6j+8OSFSJtUVRbwKpLVhuZhCrnZOMlcfnDq4aCzEWIGUX+kiA+TwIt2PALp9RW+7THHk/Y/Y1asatm9ttTDrOWrjJtCbT4zgtLlIpJYRCGEuCQQvL1ZcM+b/e3uXnf8ejEwvwyNk7Z2wEGEUiBGE2M8UIvNQ+tMJSdAIV38yaoosnSw7lLkrO5iVwizJrM7KSZaDOdlKLrCBMYHaiwq6tM7Tavfy45gCX0kOrygGUd1BX1E5PDEiUn+4q4EAeJxJh0in/pQObfbCctXIdvpbuNmuAfC3mLlLyMgs2M3CLBCXcVFztJfQMfPhzdT791TrDDMyyzN6uck6KUVtwLfYe9WbXcE+ygz8SBImxVayM7G8mT8bZuwDGuA43UMrclZfrAvAO3IVUEdZpcSMNwkpXrWete24sgpTNE4svLO96bY/dRzUf/myDboQ7YBn1Zo+OEUmMA3ke/Mq0KtIU7E3K3hlTZ+WwmVRZBe4xeZKRgMnBLYiNkyWREURG0I8N01MVJqeDg5VKcKA/jArezp789/f9D172mpcePL3SXBcOFm+aCM7h+5mUKJ00IVazV8ZseXlpUZg/0nY2VuMt8/LXMb9bjLaelWtNpCisQa1juhF86At1/vsHJzi75Je6c7JsZfZaooVrZPDTmu9sHITOR1KU9/8pGg7yC0CO7gU5vsVKtkFAedC/KL+X/4yRf6csg8ozGvOCNjk+pXWNIrbsYpSln+eraUE6q1sNs/XABYSTzYRrLw1p9wTPHNQuCTSSni1fs+5vGpHbDKMMMHKxr36dr0xlTK/hIuXgTlk7SmCQCLqxpGsEYZLwbTeu43vftPkPTp3a/4Grr7phNYO73zBNnDS/tH5Gvm39dHSVVj1WuhUGg6AkTcAKmcqzNLtV+pSZb1nUoaRJnzJjl+XJiPZ27+X24LgtKErlrypBVix/+6Ua7/tAkzNLaTJHjutuRTlj6YkSkMXYPjvpoV/b+y587vHzXZyysTf/N2/ljGb2RiZVYJy5S0MyjcvmObZOpUl6voQtPHEhUtYW5PahIJUq1unrKLRsnEr4zz/cZrEt+YubG1BJl46cyS15tz3Ogw/TWNRSBJWZL57JEptGkVkySFqRSxSZInsMTiVpIvKAMjKCXiJoR4a4G1L1BK22enz95PSXzpr+yDFV5Rd//mcf5pWv0scOnY2uv/eZ+JqnDodcsi1ECI8k0XnNw8hlPL6sl52Ssabh4v1SX6UouSVl7zstnhoFtym6cyqGAyc1v/7hCR7bE6Rb/JVLYMu13gJPupKLrGMn29t9rXa08UYHlbLoCPOOvC6YXOTMXtraZQ0GF+WVIGPuVawu8oTSSB9oVsMjS+9RjneKCzE7W3kXeznwz/5O9mcyAWwsExOGasVy/5MeS8uyhJRxJs8v+1LyajzCLq56O8bmhQVa/LurZZv7exmLR0bQicGTHb7/Nad51VURO7aKmx999uk/+O7v+ukRgI8yOLD3xFVIKfnGI3uR8gzf9uJTeEqWPnwmtm3GWSPMPW4L5gFjKZBcFWTmmjvJU/FiFbhLZbC+4eApzS/94SR3PFKByniNSdn7dp53NgZCl+rYy4+rpEL5z6QAWrOykGzQjygx+VqOi3tcyyXJQFDeC2fVSDcrSgxf2IOZOyLSAHOtoiyB23NTGJkmiSTCuHhIGJmn8BOhwLjPmgxiXnPtgF/9yRa/+IcTHDrtuyUQSkxeuoIAiySm+D5lDeLUvh29CKwrgciYOy8vFqMwd/FF8XuEsK531rO861UVtm6YozG9CzD80s+O4nkVwH/8e96AVjpsiB6txT4LSwmT9SQfWTCS8HkucOcND2YsJT/mnKzhd68N7ozRY5RnOHJO81//1wSfvq1GKNKdoCj3VxbgHg8sy40MfFB0vQAALUZJREFU5dEVa2Ul10whM/pnVpcvPMet/MO16lFS8iyn6YvHUsls9rpUJ04G+pHMZtEIIU2mlYvkj7MVM8AXUWzmsGAkFW149+t6JAZ+8Q8mOHoudVZGQG7HQC6IKWxEk66a2aBOJYo/b3Gbx2a9lflxSq3JkboUCinjCcGUZ5ms13n02QZe5RJ2XPn20JgE+LfPD/AdW2ep1ho/++ZX7bh04cTxV2E7JGndQWYVln3w0WqvMYYug1qM+tzlykEHZFsCd5JbgzLPVro0/NF5j5///Qk+c3uNMNtXcE3mTjOWlIZnZqBmtec93maXVwqOg10U61YO6nHa/nvcxnE9ktFkPG3vfmm2t0/G4KONERT6e0SHl0Eu0zpvR0huzINKC64gjsFTCd/9hj5awS/8/iRHz/mkc5hH3ZUseEmnicfWBZ8mzX56whbMnaX4R8wLl9GU42TgvikytSrLm8+KxPLEwToXX7H9643JLT/b6Yzqbxi59tytVm9y5vDN7Z3bxN7JqVaCXKJaGYJ1myGZPLtZ/gBZPJ0t5XbkPgruki2YgVy4ftC1wJ0ndLTh1JLiP//BBJ+5LQN3ia0zYZvbgil7y9EunbXYOwNzeeJtftGy+r5WgFlw0ohz+HdG93iAOe6LF2+KPEWdSZA8CcIa2/KZQqqMzDnMyMoUW6NkE2ttOszTGEWcSHQC73pdn//vT7bYOBO53VZtes+fx2Bi95h+CWMhMundChILcaqjTfp5E1vsN1++mEexla680pU1CwErEXRVxIqxyWKvsvcDn7it3WzWvjnA3Ym1HDjW/sn3fWL2yd/4ZJWzyxDFmjDSRLHKt7Qr1y9nFWtSmhEmXw3u0QKq0QrBMrizFHzkxj1o+MDnG3z61hqhkmnjwnh3ztqedzljOa67R3V1+SJdbYOW/e+19HUekQjxv4vvUedgVVJn1PfGjjK6yX3wMrjL7kO5ScKB2pb2/DFjIE+sSl8rd08kOra8+409fvhtXXSSQJKC+jlBngAuPggthGuAPDGlC5Ni38sRcIvMtgVPWQLt9iidnoz4r+9d4Hd+evDkRHXxJ8crR54X4Bt2fDsPPi2T119/mY36m3j42Y0stmoMhh5RUspsWpmfl3JEvipjuSa4yxnJZA3mNq5CUBnQgq/cW+WTX6kxlKvT7yOWIK7OOwssRzOWTsOpMfbOJMs4aMsJnzKbFK9LVJ9f5GNk8XcBd+kPjsgUClYfDTrTSzGvDRpL5ZsxYJdk5ciGqvljse/PKINLrElBbiSBsbznDT1e99I+IsmAPQ7yxIHcxOl7DuTRc4HcFj63XQPgmcOkpRt1XvX4/7X35XF2VHW+33Nqu1v37b69JN2dTjqdzh4SErIQIGEHUXCcJ8iMwzw/z6eOo8O4MqPjOIjz3gg6iqKjjPPUUcZ5wwd4g4I8RxQUoiyR1UAWstAJZOv0vtylqs55f9Q5VedU1e0sEALMO5/P/dx7q+reW7fqW9/6nt+KljzHWb0mCmY3PHImXz4X/gf+6OLU42uizrjqinNQrVZuz/J9C3L2QH6y7MKxfFgmAUw/mNNx1ShUzzWv2LfDZIXYhJL4YuIZaW5KPBiWD2IS3Lspi7/4ehFb9zgiYVgFtqkDXJEmRmJiqTI4T4A64cFUWSScWOq6RXPdx0B9VHDH7GFJeUIiGzjUiWXMJi4Dm1TbePiaQ7WJB88AQusJARP2C0aosIcH54+J5mSiNhqIDyzrdfGVj47hOgO4b1M20OOG2GvN06kOCgYKFwiiESlR/iUJJ6pU2tBVr7j4ekNWGjOCYmRuxcCug52Ta88763Yn49Q9xrTeilmzuvjQwJZbVq3sHmwsjAe3Go/C84OEVq7q8DDjp74sUb2S9cGtJAybDMQk+PHDWXzqG43Y+qIAN02bUCq6m8aliRIOi1iOpQJgNddUt6RE8iRVj6cAO82em0T3NMs50d9yEm4fTkBjF4TmsgcS2lsPmFPyOMOHWppZPgfM7XMDzA9esxrB4jkubvqzMVy+oQx4Uq5IiaIwefhgAGchk1cFk3uSyUF0FlePqTgXBhHt2a3gnAxPVlFq7x58ZPOzt7S1ddQ91HUZHADsYh8qY2PY9NxvsbCDoK3ZD5qrCiaRZ5IoIA8AxIKYE2ktUUyARwM3FRWqYAI/3pTFX/1DI57bnVHAXe+hSxMDyQjByGnCUyVJmrbWMBszIaYED2pn5pgMKrHbsgZY+V6RIWGxfEDR3ZF9PLSoELXcBFekCQURmffSyiKXS+aGiEQM3htgDEHVBZlZX/OxbK6Lv/vwGDgHfrJJTO5ktXzNqhL/bwGTE8HkBDx0kjISaHFZ81u1XkkdbhsEpUYD61cZuOi8WcjmGqc9vHS6lb45szo2aX9wTtf8SdnoU7aN4Oop1YAdxZxIcBsih5LSNHCrZR6CbWAS3PebLD799UY8t9tJgpsmtTcRTK1nx+sZ8nFdHZck2gQyBvboco4ua80qSKJlsUv/aPgOQay+D4GtiXLpLdR7WUYaXepy9QHNgqK+11idxa0oVNHvUXdlaV3xqxSn9bi46doxXHb2VMDcjAlN7ikTziST85gm1ywrksmVA0QUIgiOB0OpecFkPmt+sK21VJ3u+E7L4D2lKps/s2/zyj5z7Pnfbs0b1A2u9MRMlwvGTjpt1LxKFdyR88YPU86I4YMbFD99NIPrviZliVGHuaVECWaJhMQjBQVTI27v1tlbK22hMrewiugXANEljAp06FJGP0BJUMfvqZEU4YhPtrj60Fg5xvKhFpcmRBFEFbI7iezlssah0OKUQqwPaotA2MqjMMZgziV9IgCAGrC0x8WX/nwMnBPc/0gGPgBQL9rjOuJBanLpOSWipmEQIx7Z+NVJuM+A0SmOqm+gu2/jmGn3bN67b2La/MppGby51IJCofEIoZNXds2d62Yzw0Do7AHibncJbpXFwzQz1c5t+ElwUwZuUDzwWwcfv7kRW/vt+uCGqruj7HiTpDh1JHvXm0SmLddAnlwWHvOUZa90JICvoDvh4IRiFpQOd43Z5TqdtTlTdbjwUKusHrI3jbR4aEY0wi7LksmXzHFx88dGcd6aCoyQyWMWFZXZY5q8xklkK2eKbVzsO4jw5xGCI1NVrFy71J2oVq4sFgtHWltbpj2e0wKcEAe/fno39o0teHnPyPLdT+8qYWDEgOtTIUvUfEmZRqZXnAqZXIklkbEl0hVPDAZuEtz/uINrv1TEjhedIJcyJSpQfy3AjfSya5pTBzp7q6ZBCWQd6Mmya3HgQ30dbpwU5MdkKqyjwxEGMcWBi0iyKLdvJs2IislQ9W5q/TfDbaJk5SCoSZl4xmSLCnLZ3Y3VKBbMdvGN60Zx4doKDN8P6JbH7OMa2COQ1xhQ5QQuBzwWgNwTYBdVKWAaQDEPvHV9Hu+7qmf3RefMfLnmbkU+Z584wAGAcQP7tj3e75ft9+cazsToRHCiTYPBNJVGq0o5tchpo4a8Bg+iLKPEh2ExcBP4xWYHH/1yETv22eCpzE0Rd+ZI7R8mEAvgJlpt12NpaT1RwKsycnwCGgd5Erxc2y5YXx/ePPFCvFUsKUmNLk1s0loSn4xGrB2xus72WjlmHhTBD5lesDdnsvZhjMkVkPvMiEBepVgwy8VXPz6K89dWQH3hwuQq0BVWl/ZzBeQVRoRTiMD1g497ftBennOCrM1w9hlngHqF9//20a39tnVU+E6vwQFg46oeVCpTcJzsgRe2mQ/v/N3zG/LOIDJ20IYv6qCg1yshisNG2rcJUbLiiQ/D9rF3yMAjz2TwuW83YsdeOyivNi24pVseop531Aktnp1jaNqap0wweVKSxE2FEsWauTCZWS91uAirSID/WFg8ZHKiWk0EcIn6PtLgIAorE2gaXvVmkhDkun1c6nEm/wUFiMjKD4LMg6A5xomIHjRCTU4hiBqinYkLLJzt4paPj+L6bzM89nQGewcJYKcIcWFblxTLQFAT9ViYnESLq5aAgE/6KDUVUGyZ9/C8hesPTE2VQUgORxtHvwQAZDI5DB349c62knPLaad1o1QcRj5bQcapwbFdWJYH0/TCnjhU9sdRciej6lNekG6WYdhxwMLnv1nEn3+pCdv7nWMAd1iJHxQIC/dYhMNELL9SNVsCCc2t2bXj5kLJ+Oq61DiTGL3H0UziC1KAHXf2QCf0tMmo/JzmlgdiwE5aUyItrns6Ix1OFZd+lGyueztJgsmZwuS8RrGw28XXrxvBZz88ivld1cDwzb30B3ODB/fBOEeVAVM+wQQjGPcIRl2KwQpF/zBDZ+8SELvhlh/97PGd+fzRwQ0cA4PLUWrrAsziZscavDtj7HoHqT0PDhO+H1wjmidSTVqQNnFFcxsZYOd+E5+/tRF3/TyHim/UsXOnMXfApIbYeTWvUnXk6C54njLBTEn3CrEYUXN0ESSFdYRtgqNS9AkMyeg64/KI0aEDG6oFBaJUscL60KSKZHf1g0Swd1BkkICK36NgIpKPMSAI60syuRzUA2Y0+bjmsik4FscN/9CIXfstwAFEqn+UXCrf82AZJwZcQuBxgioI4PvwXQ9nrZqHFSsW3b1g0bzNA4Njx3wMjxngxJqL2tTu/mzzRR/ZvWeT8dw264qVvVNobbLh+0REBvqamTB09pBAshjEB7WBXS9b+NytDQG4YQSJkuTYwW0SwEbgutXs3WH1sWRmiwSjlsiA2HohP9SIwtQAq+R1EJM1x4h2rm8aBj5I+aEAOVqfZnlTJqAksJND1C2UE08iwGyokoZHUkC6/BmloJyJiwQQxQ8Fuo8O8nAfq4BjMlx5YRngwOe+1YjdB6DEk4udgtDpxAd4dP45NeAzjpnFUVywooaZneSeqy5d95Hde/fvXbmw69UHOADYuV48/MjDe23rrVu29NMrStnNaC2qJdUClo6ALU2GfvDsAC8eNHH9txpw589zqMIQ8Y/HCG6xwzZ0s6D0UmoSJQQcT+ZYqsCNTygVyaHZtWOyRAN5nNyPk80ji0nExBqQeWx9aEVR2Dzu9CHJz0daPSrmGWhzAXSianQ56SQRqo8B5EwU6jQo4HtAxmR410VlgACf/Xoj+g8i0OSSuQlFUJWTBiAnorweA0AoOpoI/vCCeVi8fMOWl1/ctHf54g3HdWyPC+AAkMn1gTozb3rrhr29zebBqz2/H7YVNHkyRfliQhgIGGRsCghQ4xRPPmvhW3fmccfPc6gRqiQrHCNzQ0k9EzKFEr2H/HThsHqlLZ25NcuJ+ixBHWF7GivKCYJcglqdYIpvV9wqkQyBrrUhyjBw5cqIGBph/8qIzQPwSlYn6noQkfAQeF4oRAc3HC/IEYLcNhmuvqgMMOCbd+bx1DYbVWYEwCYy1VuylEj+pAQEFqgxC8OVFbfP61t7k18+cLxwPbZJpjrWrOjA7MxPR89ctei9T/ebmyouglLLhovRsouBCR9DUwweYTBMDmISlEHxzz/J4R2fLOH2ENz1YkqSE8qQuUUglUwo0VzwiKRJZOtOkyop2luVKyp4U6RJxPpEA3k8dgWx75oO29Ou4HGGj4LcNMmiuewjrc1SJ6FJZ5DMWtfjyeMx5lGYtOraT594Bs4gzg34HoXlc1x9URk//vthvOdtk8hTEaTle3CIi/ZCFZ2NU2jLlWGyKuAxtOVr2LiquonTpe/95nfvHzVznccN8ONmcABo67kMz255cmrpsvfUyhPfxctHtuI3Wyz8r/uKODhoYGbJxVUXlHHFxipKJYZ/uTeLv761ASPjIsXMUMAsqr0CyXxKjblpIN+0nvFaNzSuAzXNKpKiofXtFfmhaPBoez3WRJ98Em29BvI0/AoZoa5PmzBGzC6SkkkEZi03k6SE0yrbqlJG9neXOp9xLroWR5nxQWIyCyecUWZaOpNzrhTqFxUEOHyAB6fb9wGTMrQ1+vjCh8ZhGMAP782i1MJxxcYKrjq/jJnNDAeOGPin+xpw/5MEvR2z8f4r314z6OTUwsWXnAhUTwzgALCobwHA2eOjh9es/8ubj2R/cF8GHjEA5mLnvio2bXZwZGQMvbN8/O23CxgZE3qbxsFd34mjMTeiuG5TBTdSciuPMtFM6O168iSu11XEqshMfX2sUNcZWl0WrkOMpYn+ubB2ipQpqns/rs+JzvSQ8eJAVH9cXBgMAcgjuRKMuFyRbbchPW/RR+CLg2wYAGMc8DhKjQzXf2ACkxWCed0e/uYDE+AVwHdtzG41cMaiSfzvBxzsL68st89c8rhBj1tovHKA25kCOB/5jNn0Fj4wNfSxTH5XhlETlWoNjDGsWzmJi86u4u4HMhgdM6Ie4FpEYH1wSyCbEBNKcMWZw6MiPRLMClbrxpYgqlueyLdMAa5k6Pg8MjXT/pigXAfd8gtUqwrX2RwKsANcCsZOgF30co8zebgRwhaYhCAKvlKy9nUJJN35EciD5RHICTgogh6dcpWmyTkPKttSgDEPxA/qrqyY5+HuBx1cuqaK1Qs4JqcKmKxkUa0RXLZ+WcVq3/hVn5C/bm0unDDAjRP+JIAbbriRz+479+HmvGOYrLa+NjlpcAacPn8YN31oGBtXVzEwZOCXT2YwVVML0Js6k8diS6SHMuidI4v0CHAnivLoSQxaGxL5iBXPifeKDx7xsmyRbAnjyClRpI4spybL1pHwtSz4Q6jcLlqntcaLPbTCn+rvIC6xlDZ8ynrpAIt+h4fbJ7y0iCbboXdWSixFOulzC6JdgKm3wHA1CX83mqpHJUSGJii+f28e9/4yj237LSyYzVFwGjE42gBuzK0Re9FNrDrwt13dKzy8gnHCDC7HeLlaa2lrvXHZ/PFagznx+WLDBP29c4E1Cw34EyYuW1vFF2cwDIwThaHjWTkBssKoQETxJVptwETZB54AiMbmJHYyCTSmVrcJT+E0skZ+TkeAcjDqLY5Tesz+nbaYxxZqrnuNyRFaUEhoTVEsKFzSeUyiEGEmlKtJpOW1yEVR24QK6mYIukeABEX1uYgkDVz8PNxXKsDPAciayYSLEnFgOHCI4r7HMkDOxqatRVz/PY63r7bR09HE5i+Y/flSqekr4+MTtVeKzxMXN2J86tqr0DeTly8+Z9Hd737H6fyytRx9nTlMThXgeSZsEzAoqWMxEZk4NOiW68gH5bAFc8c7D0vTYKKeSQzEmnxIkSMJhRxfFgcySMr3kHQAh79NEss08CqvecrCuP4OASOBreiTeEBV5DQCElYURJ9NrGOKhQVRGC5Ty03w2EOU2JaPyHUvEyUid74vIhN9H0FhT8OCYeexo78R//fXFmrWSu6Zy+/esitX7l747lcKz1cOcACY3zcbs3tOf+H05b0fWrZ8JfM8Cs+joA7wr7/IYt9+OyZP5HMAbpMAGQpkBLClE0c2h0r2jueheTC8fdMY+FIeidt02gPTPKtgjV0N2m0cQBpD1xtp4NY3QAzYsUmn4slU9ykJesGqPAZiTgKLDCKvJkPSlBjFjOtZ+D4n8H0amgZ934gA78t8TvHgJjxmYE4Hwx9dOAXUAqeQbQJr1q5mpRm9HzptybIXmkrH7q2cbrwqAO+dtxjdrS/Vuueu+w6h9ifMTDs4qnhuF8XtDzRguOwAhmzhZ2ngtmkAbodwRXfL2G4eaW+ChDkwUdNEZW9F00I4m0KpEZMpKgUnkhhiz2oRfHV1+Pp4Zpg8+V6NL4mYXAUwSd02BDKSF0H49Vz/Xqgghg5maKUmIOLECRIJykqceAh4CWyFtQPQBylvvm+hmDVw1flTWNY3DuJXMLuzBVnH/sRF5679zmNbDtWWLV38akDzlWtwObLFpahM7vfnLPwvu4YPtYx/64cDDbfeU8HBoRyYKcupym5nFJQS2EQAWwNxMndSAzB0cIdhr9CJNT5JUnV02rZJfU5S7wDq0FQMUV4nNkofcSkevScAlAaqEaYT5r6EF5RLU2HSPk4IFJd8oNMJiS4OgkCLB19HhOaWf41H9ynxvUR4QUFYYPdWqioEHZFFJ2R57BkHYIRWmbOWMdxxwyB+9FgD2rrOHr/8vHW7dr142D9r9cJXC5avHsABwLRyePCJgXsW9qz/cEO7+dXmxl+WDo8NgcEU/zCYYFJC4JBAklgkqmGSCFMFTwJTWU/jy0kS0Cprp08+p9HnMTbXLwwyzaQyIViOOjSnTgy0iWcAsi92WC9FOoLkaog4E23iKVqMKBNT6TuCrB0oL5CQ5on2LrjwomWB+ZsKEEctIzlh4vsIAB+MRN8QsD1DzeVwrFn40z9821CmddlHbWPPPSA9ryYkX2WA200AgNHRids++AcXmotm+zd98fv3t2161ocbVGgHhL7OUI4MjcyAiTgRpABNeR2CW6lACmWbVLaNbxifSCqAVqVOmFCsfD5+IcSmlGm/nD5iNK7JDpLyjLikiH1eLRlB1C8lkTVF7rvy2bgFh0BORLko5SBs5fLyjun96A4YzI8YJaCcglOGwP9AQYi4H3CKqmui/0gRLPvOgc7ipX/plmu3OQ0zTxx8dcarCnA5isUCOD/wvbdcuIbu2H34C/tferKtf2gKVZ8CNAOLEjgUcAzZpzKWWTPNSJUasXmdfoHw5OdRZ7IpNlCz6dUPqXbicJX243otlGMJuOLKT4RyZDoGVz8gvyPFSym3DyUJ9IpR4R2Aq9iX9ybB0gLFMghLk1M8thPa/w5aFFIqf9MAZUGtG9NwUXMJ9g+0w7fPHSi0nfPp7fvGv7diQemVQK7ueEWOnunGDTd8GXN6z3vKopmBRV2VjWvn78w+s5vA9bMoWAQFMyikGHZcoCmFelRm11hCgjMZFZhWjk3rfUMQOm4I1R0lmnNHfl7p4CCdN/I1peq2JOylQ9TtEw4ektxP1Hmt3S1UB5HyXYh+D4gfr5RED+11iiModvdSL9rQ4gIlEx/pxT2ZyOuUqXCUALbloeyWcfOdjfDJiqG+nr7rLP+l7y1dsvxkwfDkMLgc733P5Xj60Tt+4LNZtS27hm71/YEGxyDIGwxZK6gSatCInADdTayZwwjXuPh4JnPqJvEHoDOtpsNjEiZi9SRTpymf6UbC16M6dBBJDZLyQamj1Ykl46IJq4znJgxa4Xy5U+EP82n2jUBtc8C5AnLFHBnWRYReTluKRgIO6vGwtbjnmfAZRXNp/vhguefa+x+r/ttHPvjOo5+4VzBOKsAB4N4nRlhL0bh9x7753rKF7d//3ba9mZxFUHACgIPI+tBR162o/rW8PWpH7vgG0cGszwqJDuYYe+t3B6JdEES8SLs4Evo/Dexp2psnt9X1uAC91NnQZY0+UY0VsozFrqTtQ/Q/kgdaA7CSBSRr5EQgV0pRMOGd9oKEF9soI9+0onLNZa3vm/LG77LoEfaRE0LVsY+TJlHkeOC+ezD3jGt454zObT7I84UMfbs3MWS2NBJk7ciMpMqHMG4jeeTTz43KsCkPrVmTIleiOBJVwqTIEylF1M8p+ynfp8kRStMlSsIylCpL1Ilu2kWXlCm6lEFiWVo3i/QHT70wVedQWPqNRd5Mxoiwe1NUagbKFRNV1wQlHkpt3ZVMvusaJzvv3/N22e/s+/DJht/JBzgAPP7AHZi35nL+C2/dtrd1D23vLJlvM/m4lc9SeH7QKgMCUIZ2okl4V5Wgls9SCyIOBPGclsmj62yIAKmY6z/sfanqbDXQKqbDE+A9OujjOlcFua6FSQh2kHhytBpkhbD1R5oTLKHDqeI/EM9hS/XE52Tl4OjWF1XACrp++Ex4Ln0SNkbwGcVk2cThYQsj4xQNzXOnCg2z3tOxYOIud6zGmro/+FpA77UBOAA88eAd+Py71+Htq0efJ5kZe7rarIuaCyOZw6M1DI7RsD2FjPSTd3qtw4EEuFYUh6QAIwnsxMSOqiBUQKxMRqO2gDpra6BW7ziU1AF9fYDXA7vAa4oPQJdVOqsnJ7DRXSZ5RwsBrR4DxZateo2VvYi8mmH8CYHnR2UmKAVsy8fBIR9PbjdQaOwaLbV0/8lnv16+ffmcGZiz5L+9VrB77QAOAD/9yV047y3X4LIN+S2l5tL+c9ZYG7fsG8r97gWGvEOQE42KiTLZiup4xOrVafEbuqSRTKezbPLERz0vFcY+ijwhRJcnOmDJMQC7PsDTLlQg5TXSga3tB3jCYkPrAFw9DtGdjiWkUHS8EbnlRat316OouRQeM2CaHLnMBF4cMjDsrx7s7uz46N4B84eXrDdx/sV/8FpC7uRPMuPj6quDCDHOD/4AONvsXbj5xhnP/Kotw8dQLJjwfY6JStDajjNA1imV4PYTQUXi9iycEpToE7P40ORAuEC8VAGmMKU20dQYTf3M8fXliQ9tgqkaSUj87qVamKKJYzyrXs48w7gWpM/RowsnuFeGVYCFiTHcP3AYSt6mtKEzRuD7BK5HMT5lwmcErsfQVGzG2y/ZMFCxL/0UuPuDBXNOjp37aOM1B3h0YGdicHjqu1dech4pGsYXNj/6qzbHmMCeAx5cjwStLxH0JWcsKsqon+DQQBC0xhDMxUW6j+oVTJswqdYSdWKbYEOVQcUHowlcBPgESx8j5FXwyv9DEM01ZE12IjYO40sIlHQ14apX8zS53F5uJ79AkSWQokNq8QDchuiGB2XfOAmazQJBKeYqD4Dt+RS2yeD7ZWzdY2He7Gac3nnOQHfvWZ8G598lxqkBN3AKAQ4ALc05TExMfueyi9Z582Y5Nw/u/1nzE7cfwlTVQUeJouYBA2PAWFVnTtmCDgIQlAZVrQgQdC0Aj1qpK/ZlTc9CeR3TslBu+ZH7PmY+BLQPkWmxnFwZyqzYHUHGd4TsjchlLj3uWq4loho6IdurAVeaAz5t1/SJJhHhyVETXzXKUOycweFYQS2TIyMZuC7FzJYpFIvDOFxeiEuWXDA8c/aq62o1+n0nkz2VEDu1AAeAQiEPzrzbVp9x+tDz1o55Z67u/eITjz1htTebKOSAQvMEHnzOhFu1UbCC0+WJ8rocgTwxEZxdQnlUFYykxGmgvtZV9WxU2YpoEgVABOa0i4UglbNTsT8NuMP4EMnocj1Rlsk7mWBnxmP2ccbBDJHlo4XPqt+IkLklyA3KRQFVUTAV0pEUaG1CgIztouxW8fQugkMDjXBsAsDAshXnun2D+b9YtOT0XYaR+YmTsXCqxykHOAAQarJfPbrznmz+avucM7ZPLZ6V++aBfc+TjtI4PbdxHM/vNbF7ogTLCXhs0qOY9ANGsSmHwwlgROBmjIARUQoh/ReTXs16wJ/mQtC0uPIiMSlDDMhqCCyPbUOifVahSBS9HWTAK0FViGtwpUoV9BAWbZ80C43swiHazoiqwVQESNVcE65rgiNwue8freBfHmxByaxhwZw8W7j4bF4s9f7Zpz/c88/exP6alXl14rlf6XhdABwAzj2zD/17dtS6W2bcdrDB/2VzoXpV0dn7P7zqXhjEQN7iKOU4XAYMVmpwqx5qsFE1LXBT1igMmCyUmrEzm9TXcZ2tJBVDf62a3NLiQpKu0vqMPt0IWVzf9bBDHxfFoEJ3PniUXylZnPNQtvCQ5iPAqyOSJwj7Ksma77bpwrFrIMTF+FQeA8MN8HwD+UwNrk8wMAJ0zW1H56wZf1NqnXOHSzr2bd02Uluy+PUBbuB1BHAAmDN3AQCUn3rs33cM1dbduLiX2geP+J9xMgeN9oKP7jYDczoMfHLpMHYeGMaX72rGSKUZFWoGndUoh6HcjuvFrsRZW2NnxTkDpIM6EcyCiNEJif9YOsQTQYFSQpAk2yYml2IDJsEu30strmhmrgBbt6ZwqKX1wnY0YccOH45TQ9WdwlfuasQL/S1YM68BPR0EBvXAQbBh9QJ/RrH7f/7xFd033v2rA/4555x1qiGUGK8rgMuxct3v4+UXbvc75//X643DA+bvX/zwJ7Zvecppzlcwf5aPZT021iz28cyOMdz5cAM824THo/YdLKY7JXDqeQtVx4za2oTGtgUic2DwSIJe1ePhUOcBafEmiu4OJ5jqevkdAuRBcylRY0cUOQkKUImyyUTR3mpjKkRJEfrcQXfuSFNhPlvDz5408G8/b0OeFtBAfYBn0dDQjRWnL6p+acP5X25smHF9Lv9/8KlrT27Q1ImO1yXAAaBr/tV46fA4WrPuZ/771RfQPet61z/1+P20o2VsPWOHTXACy5QZQqqtXLyGXrgSiECZ6JFJFEcHVeRILHxWhtbqrmtVj5PwffRu+hEHvNxjrWmw8jeC5cKqEgaikZCeCSdgTJr9SDAn4QDhXJTk1m8RIbiV18F+EXBuwPUYXEZQ9T0Qo8ljtOGRhcvfytpmzX2kWjE+w9kwCG0+1XCpO163AAeAWe0N8uWnd/zuR9hw9rIG7o99O8PJuwaGJ+jhcRuOY4IyoAYCiwCMcq3vubwtxyWJGucdeTWj92HtT0V/q9omPjEFSTKzZiVJQ3vcYqIbOCIZE+EXQARyxkScCAXAAisSk/4ADhDGgypXLAg7CCtYyX1TmJsozG0ZDISYmJzKo2BPoLudorN1Llt1xpw7W5vzH3h4857x9y1ecarhcUzjdQ1wdSw47fcwObprnBqFa+F27dzysrOspYR3LGp/CWXK8fKYAY9Hf0dtDQ0gBKBaycqgUfyJFi0Yuqz1xALoGNc8m/G+PdGP1sF2TIeQ+LIY0ONWl6DFTZR1E+6gaBss98kX/zso0qNn4kTHI1TloJTD4zUcOGSjPNWAhb2LcM0Vpbu7Zp2/5YxFs742NlkeX7F07qmGwzGP453kvy7GE8++hGwuP+fF3du/Onj4hXcY/CF8+c4J7HmphJasETooTAo4JkfG4shYgGMBthl4SU0jKAhJaQR0g0jAx6wmCmsDMeuLWBBNVFWPKIk0fPjZaAIb95zKZaqEUpepF5h6wYbaWdx1Als2YBjRs2lwWCaDbTI4to+M7SHjeLCtoHeS3I9cZhLP90/gjl/14cqL12Plivl3d87p/SjcqX5izznVp/64xxsS4AAwNDgEQq2+8tie5c2FQx+54Tu7Nm769W6MjYyh7FuoMQKTAnmLoeBw5B0gYxPYlgA3DSpuURqB3BDgDkNjKdEAFR40sSABas2tH4v6C5+J8h11bOxp75V9SNxNJLAFyCWoVbCbBodpMjgWQ8bxkc+4yGdryDguDMrg+RRj4wacbAFmQw9+23/mQwu6il9btbz32WrN29ncXDzVp/yExhsW4HJUXQ7DwIJ/vP2hjvnt5j/+/JHtfd+/73dGreaCUI6SQ9GeZ2jMATmHwDYJDEOydgDKkMFDgAdgD9k29ALyEF2qSVBNOohLFyTAGaE0BHDsvcbgkr2VExaqFx6tV4FtCJt2VGSUwzACkNuWj3zGR7FQQ3PjJLLOBDgAgzqomef5Rn7Fztbi8J80tl92AMCORPOtN9h4w2jwesOxCADsGB8d2uF5/qUVnunacNbqO/ds/2mj62/L33qXBc4tOBaHYwGmKYCsAUgPkzUphWFEDhzOIBxICrwUwOrgxrTMHQ4Z7Shd9uqEU9lManOirJPhw5whBLiMew5rdTMReEZExB8LmkQxFlidinmCSq2C2x5owumLFk9eful5Y57rX1kji16uEaP/jQ5s9fi9aUbV5bBN0H0HysVG6+kzhybYP/3rPf3ezq27StQfbjANDt9nwmoShH6CQ5EpBKZJYBoUphFsAwA+4/B8FkzUeBzMsQQHObFUdLg6QeTh7QBQM3bSZEmaOTMIUQU80QEEEBelCVhG8BxqcOHxlB0YKOXgoMhnCPp68uOdszuHDkwtNcfLmfdftqH3UZCGUYAxQl7TNIGTOt5UAJeD+7sBatL9h8YzXWuvq2792S2ffG7LU3+8c9ced3BofBElLDMxOYHxSQbLDOzpEvSWReHYFI5FYRoBU9ZcjkrNh+sFyIxMi6rNXK+ZEoFUBzhjgRlTbqNNZBExvla/XKlbzgG4HlCpcVRrgdHPpCTYZzuYSAcNEYJJpWUwjIwHDQsKObPCkN3W0dljrVu76rYXn7nq73O9P3SmvNYKJS5bvbjjVJ+6V328KQGujt17+mEYJnnqycfg+dTI5fLfNEhtwZbtO8559Kn9RkueI58FJiYr8H2KhryNQt5EIQtknMAaMzLOcXjQg+czod+peI40OxUIVW3XkSkyWOb7gMc4fF9cKMpn1YtAtdVLJjaN6NnzOQ4N+hiZ8EEJ4NgU+ayJhjxBPuOhXGHwuY3mRop5s12MVtr9hqYlm1qaczsmJyc+ND7p+WetPxOe5/H2md2n+hSd1PGG1+BHG71z5wAR7rzR0aEP5HJOc9/CZX83Ub3fLo8e9Jf2OasqtakzNj8zgmrNRXMjQyFH0ZhnKDXWsHWvj/6tFkp5IJuloDQQzKHDiJKgJgkBmM/hi3gQKrog2iYAAtQAVF2GmstACIEp7xxGwDSBRg52lMp6MQqzGwZHPsvR1FjFnkMedh8gaMpxFHIGfM9D1jbQ0GLBNZrhVzNP5PPekzM6Wow18y+smU7rXzG/OtzY2HqqT8lrOt70AI+PYrEEAMMA/hQAhvf/FJSSjSPjE5cUW3Al8/2FDZkKqhM7kHfK6Godxtb9ZWzf34aVc0zkswYkVxNCQxY3BZirHCiXfdEFzoBhEGQcjozDUa5wDAwHDJuxg9hqxzLgWAFjT5U5ai4LLhhRNSAEOgBwAtNw0dkyiKGKh92HmrC0O4scLCw9bTG6OwpoLlrb9wyQO2te7mc++EPL151Yd7I3y/hPB/D4aO58CwA8NDw0/NDFF+Bhn/nzapUhtu2pl1ipNHNuR9eiT80a2IN1q9owwzkC+OMYn2LwPI6W5ixsK2g5TcAxs8Swb8DFoSGOxpwBxzZgGUAuw9HZWsV4tYyHthioTpnoaAEsi4IQgkKOozHvYsdeFwcHKWa0WAAM1FwfJAPkbA+uCwyNcGRzRTS1tmLBvCpmzV4Mf2rwxrHhwT1nnbWedna0Uss0dy0F/qNYbDrVh/Z1Mf7TA1yO5lIzAPyHfO9VDoDQTJNf7X9k5gwbyxY2uGcuWfYxw8DFo+MeyhUPB/c9B85H8Owuhs5mGz1dFfSPlrHjAMG8NhPFQtB8yqQ+GnNTYMYwDo/nUR3LoiFDYFKGjA1kbR+z2kex7QDFULkVS4omZrZO4ZkXCDL5NmzYeDo8RjE2Adg2vb+hafDmeT2e1dF5Opb2dT40Va6O9M5uO9WH8HU5/j/A6wwz0wEAIwB+DACjw4cAYJvn+zOmKoyVKy6q4/2YKo9itAJ0EBPNhZqbbz/nc2tXly/vavTcnk4b+SxBPsvQUqrArk3i7NUOapMOZjQDuQxFPmugp4OhZ1bZeteszL0PPP7i53JZ05rZ6uHZnRYcJ4+58xYDxEK5yikhxiEG7LnmnW8+i8fJGG96K8prOb5x+29ACJkxfOhAsT1f47NnWMg4BI7N0FqsYbJWwYNPW6iVLbQ0AI5F4TgU3e0+ero80trWOgrOD1lNbznVf+VNM/4fW9M6tR9qpGwAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTg6MDI6NTUrMDA6MDCaweZ8AAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE4OjAyOjU1KzAwOjAw65xewAAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 250959000
{'hecke_orbit_code': 90072198739397110, 'n': 1, 'trace_an': 4}
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id: 250959001
{'hecke_orbit_code': 90072198739397110, 'n': 2, 'trace_an': 0}
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id: 250959002
{'hecke_orbit_code': 90072198739397110, 'n': 3, 'trace_an': 0}
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id: 250959003
{'hecke_orbit_code': 90072198739397110, 'n': 4, 'trace_an': -4}
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id: 250959004
{'hecke_orbit_code': 90072198739397110, 'n': 5, 'trace_an': 0}
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id: 250959005
{'hecke_orbit_code': 90072198739397110, 'n': 6, 'trace_an': 4}
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id: 250959006
{'hecke_orbit_code': 90072198739397110, 'n': 7, 'trace_an': 0}
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id: 250959007
{'hecke_orbit_code': 90072198739397110, 'n': 8, 'trace_an': 0}
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id: 250959008
{'hecke_orbit_code': 90072198739397110, 'n': 9, 'trace_an': -4}
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id: 250959009
{'hecke_orbit_code': 90072198739397110, 'n': 10, 'trace_an': 0}
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id: 250959010
{'hecke_orbit_code': 90072198739397110, 'n': 11, 'trace_an': 0}
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id: 250959011
{'hecke_orbit_code': 90072198739397110, 'n': 12, 'trace_an': 0}
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id: 250959012
{'hecke_orbit_code': 90072198739397110, 'n': 13, 'trace_an': 0}
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id: 250959013
{'hecke_orbit_code': 90072198739397110, 'n': 14, 'trace_an': 0}
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id: 250959014
{'hecke_orbit_code': 90072198739397110, 'n': 15, 'trace_an': 0}
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id: 250959015
{'hecke_orbit_code': 90072198739397110, 'n': 16, 'trace_an': 4}
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id: 250959016
{'hecke_orbit_code': 90072198739397110, 'n': 17, 'trace_an': 0}
-
id: 250959017
{'hecke_orbit_code': 90072198739397110, 'n': 18, 'trace_an': 0}
-
id: 250959018
{'hecke_orbit_code': 90072198739397110, 'n': 19, 'trace_an': -16}
-
id: 250959019
{'hecke_orbit_code': 90072198739397110, 'n': 20, 'trace_an': 0}
-
id: 250959020
{'hecke_orbit_code': 90072198739397110, 'n': 21, 'trace_an': 0}
-
id: 250959021
{'hecke_orbit_code': 90072198739397110, 'n': 22, 'trace_an': 0}
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id: 250959022
{'hecke_orbit_code': 90072198739397110, 'n': 23, 'trace_an': 0}
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id: 250959023
{'hecke_orbit_code': 90072198739397110, 'n': 24, 'trace_an': -4}
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