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{'Nk2': 12060, 'analytic_conductor': 24.074896209416035, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [67, -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': [3015, 1, [1676, 1207, 136], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 7, 'field_disc': 2414688089, 'field_disc_factorization': [[11, 1], [199, 1], [1103101, 1]], 'field_poly': [4, -6, -15, 14, 15, -6, -3, 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, 25, 33, -11, -25, -3, 4, 1]], [7, [-128, -272, -82, 115, 38, -18, -3, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934632903, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3015.2.a.l', 'level': 3015, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 67], 'level_radical': 1005, 'minimal_twist': '1005.2.a.i', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{2}+(2-\\beta _{1}+\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3015.2.a', 'trace_display': [-4, 0, -7, 3], 'trace_hash': 890537529096556089, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 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-0.1265091125790427, -0.23519733809919985, -0.26354645361574663, -0.21746713028336212, -0.12363348890576294, -0.19596299763542635, -0.23412342737083658, -0.35382754585571646, -0.4027639148360066, -0.31575234500191135, -0.3997189807911327, -0.3384244838558179, -0.19779460849935454, -0.3936116641772435, -0.4130122328031972, -0.1818822765259687, -0.1615250701256576, -0.0467999305072137, -0.17905181222161368, -0.20920108046841276], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': -1.6780246932085132, 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934632903, 'label': '3015.2.a.l.1.1', 'level': 3015, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [13, 9, 13, 9, 20, 13, 11, 22], 'Nk2': 12060, 'analytic_conductor': 24.074896209416035, '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': [3015, 1, [1676, 1207, 136], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 401, 'dim': 110, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33557447, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 4, 4, 4, 4, 5, 5, 7, 7, 8, 9, 9, 11, 13, 13], 'label': '3015.2.a', 'level': 3015, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 67], 'level_radical': 1005, 'mf_dim': 416, 'mf_new_dim': 110, 'num_forms': 19, 'plus_dim': 46, 'prim_orbit_index': 1, 'relative_dim': 110, 'sturm_bound': 816, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [110, 0, 0, 114, 0, 0, 0, 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0, -32, -54, 0, 88, -8, 0, 300, 88, 0, -8, -56, 0, 48, -80, 0, 12, -252, 0, -174, -64, 0, 64, 416, 0, -6], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47281529
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934632903, 'source_is_minimal': False, 'source_label': '3015.2.a.l.1.1', 'source_level': 3015, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934632903, 'target_is_minimal': False, 'target_label': '3015.2.a.l.1.1', 'target_level': 3015, 'twist_class_label': '1005.2.a.i.1.7', 'twist_class_level': 1005, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47281530
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934632903, 'source_is_minimal': False, 'source_label': '3015.2.a.l.1.1', 'source_level': 3015, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 7, 'target_hecke_orbit_code': 36028797052519405, 'target_is_minimal': True, 'target_label': '1005.2.a.i.1.7', 'target_level': 1005, 'twist_class_label': '1005.2.a.i.1.7', 'twist_class_level': 1005, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47281531
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934632903, 'source_is_minimal': False, 'source_label': '3015.2.a.l.1.1', 'source_level': 3015, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597189972562849, 'target_is_minimal': False, 'target_label': '5025.2.a.bb.1.1', 'target_level': 5025, 'twist_class_label': '1005.2.a.i.1.7', 'twist_class_level': 1005, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2962175
{'charpoly_factorization': [[[4, 25, 33, -11, -25, -3, 4, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 2}
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id: 2962176
{'charpoly_factorization': [[[0, 1], 7]], 'hecke_orbit_code': 49539595934632903, 'p': 3}
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id: 2962177
{'charpoly_factorization': [[[1, 1], 7]], 'hecke_orbit_code': 49539595934632903, 'p': 5}
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id: 2962178
{'charpoly_factorization': [[[-128, -272, -82, 115, 38, -18, -3, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 7}
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id: 2962179
{'charpoly_factorization': [[[32, -488, 222, 181, -70, -22, 5, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 11}
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id: 2962180
{'charpoly_factorization': [[[8, -40, 24, 77, -11, -17, 1, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 13}
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id: 2962181
{'charpoly_factorization': [[[4, -2, -147, -246, -77, 22, 11, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 17}
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id: 2962182
{'charpoly_factorization': [[[17648, -1736, -5093, 534, 384, -44, -8, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 19}
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id: 2962183
{'charpoly_factorization': [[[-256, -208, 607, -91, -138, 10, 11, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 23}
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id: 2962184
{'charpoly_factorization': [[[28, 1516, 1915, 600, -82, -50, 0, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 29}
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id: 2962185
{'charpoly_factorization': [[[112, -412, 190, 337, -134, -96, 3, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 31}
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id: 2962186
{'charpoly_factorization': [[[-652, -1704, 1969, 1549, -186, -86, 5, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 37}
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id: 2962187
{'charpoly_factorization': [[[-56, 164, 1190, 707, -60, -68, 1, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 41}
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id: 2962188
{'charpoly_factorization': [[[-386848, -240152, 42298, 14783, -682, -224, 3, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 43}
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id: 2962189
{'charpoly_factorization': [[[5648, 5012, -863, -1982, -586, -26, 10, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 47}
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id: 2962190
{'charpoly_factorization': [[[-6176, -150084, 66912, 16947, -949, -255, 3, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 53}
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id: 2962191
{'charpoly_factorization': [[[85076, -27982, -17703, 5690, 518, -178, -4, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 59}
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id: 2962192
{'charpoly_factorization': [[[-494672, 61972, 101588, 10213, -1861, -219, 9, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 61}
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id: 2962193
{'charpoly_factorization': [[[-1, 1], 7]], 'hecke_orbit_code': 49539595934632903, 'p': 67}
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id: 2962194
{'charpoly_factorization': [[[-23728, 3492, 19986, 3743, -689, -124, 6, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 71}
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id: 2962195
{'charpoly_factorization': [[[574076, 403444, 75447, -5326, -2893, -204, 9, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 73}
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id: 2962196
{'charpoly_factorization': [[[-7027024, -871012, 250206, 27535, -2908, -288, 11, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 79}
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id: 2962197
{'charpoly_factorization': [[[87104, 413344, -108528, -55083, -5137, 88, 30, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 83}
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id: 2962198
{'charpoly_factorization': [[[-812644, -118112, 74013, 9286, -1789, -180, 13, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 89}
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id: 2962199
{'charpoly_factorization': [[[-220744, -10128, 29328, 2665, -1059, -129, 7, 1], 1]], 'hecke_orbit_code': 49539595934632903, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '3015.2.a.l', 'level': 3015, 'portrait': 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rPUlQzHHr4WCGvYOG3YMJWw3A3oDgWj2GNlINgyZVjqGE7NK2qez5ZZ2LExZPPciE1zY7bMjdmx2bJri+LqnR511eT4qTZff9bn8Rdinj4Zkageb355h7e/1FJXc7xwcprj5zRnLyZcWIw4tWA5smi59doF/vUPrLBzbopzC9PMr9RY6mhWepJOL6E3NAxGgiMnF3nhVOfqxw5ceMXR0+f3nDg7/4WXvPY7wwfu+ti3GhJ/pdffagbvdLoMxwlaiV++//EjL/2Z3/yIfNfLTrz0n739nD6/tI2l1TYrnRrLXY/lrma5C8udhOVOxFIn4cIKHF0SbNy4yr/9oSVefEWD0/OznLvY5NyiZn7JcmEx5sxCwsVezPTsiJdd3+clV4Ev6wQqYH65xvlFzYVlwWAMcWyo+YZmLWFmKsYAJy/EdPuwe7NHsz7GWgHCpz807NoyZmlVg3VSZLUP4xgsluVOyPZNHr2hQiiLMGPaNY9dW0esDgQnz2kSo5lrS1o1QeBBHAsGY8mFZcn5Jcv8SkwQjMCLuf2aPi+9VrCxXWdppc3p+YBzizC/GDO/HHN2GY4uWW65ZpFf+KEVtky3OXVhlguLdRZWfBY7kuVOwkovYrWXsNqzLPfhTFewsNDlN/63UfyDb/QfkDP/yOj6tQ9IYX4uNh6NRutbDZVLvv7WMvhH/uzj3HLLjfzsz/zzX/r4p+7+397/p1+5/LkT3T0vnB3Kl13bY982Q5JoLBIQDlRIQCIQCGHRwhJIOLdc46HDiuv3LXPVzhGNGnha4nsK39c065KGJxn0PQ6dqPGlx31OXhzTjSMOnR6zeW6Zt7xshesv73HLVR1OLMYsDgSNYMSxc5ZOt8l1l0lWRwkHTihaDc1zJ+GKbZZRmDBKfLSOmGnBwdMBSid4MkZ7MBxLXnzVgOFAcv3lCd1hwslzLfZuUTQbIatjy6bpASv9Lh+5G548nvD08RG7ty1xw/4uM7Mhb7q9x3e90rJvS4skmub42SmOnvE4fcFw5mLEmYsJRy8KTq1GvOjKBf7tD/XYPD3N6QuzzC81WFj1WeoKVrqGTi+i00/o9C3LA7jQlyx0DLdcvcQ/euuC9KXcc/rUub2rHXNbY2pPvd2e/vJ9d3+K9//Bh77VkFn39beSwf/0Ix9j67bN6sSxU//XmbMX/s8nnzuuTs2HXOgpzvQsV++6yG/85EVedFmD+aUZljoNljs1VlImX+nCSjdhpRuz3ItZ7MDpFYGuj7jj2mW++5Uhezc1We23ubhcZ2HZZ7EjWO44ibDSM3SHhu7YMhjFzLUjdm02gCDwLGcueggZsHuTYu82y7ZNA+ZXxjx1uMXNV1ga9RWePTJLqxkShh5zM4bhCK7eNeJDd0+zf2fMeGzZMCWJkiGtWsBzJ0bUvSY3Xhnz9LGQ+SWf7XMBe7fCri0hSkWcWQTfswhh2b05ZqYl6Q0D+gOP7sBjuatYXoWljmG5k7DYSbjQgaVRwq7tfb77zkXuuEpT89qcX2yzuFJjcVWz1BWsdgyrGXP3LUt9mO9LLqwm3HrlPO/5ySX2bW2xsDLFxeUGS50pvMZlSau9+Ze2bt/xC0uLF5NXvPoffKuhs+b1twrgL7zwArVarX7u3JldTzz53LtOnj73i8dOnGEcSccofcGFvuR0N+HmvfP82k8uccNlDS4uT7O02mCl50C+koK80zOs9mJWejHLXct8R3Cub0H0efvLO7zpxYbLttYIwwYrnRqrfZ9OT7HSF/QGgtHYEsaWJAElLYEH9cAy3bZsmo3Q3oij50OeORJg4iZvuC1Ee6s8dmCKPVvhcw/HvPy6gIudITWtiJOI2RmIIw/txSwtNXjZTV0+92CLvVvh0cNjPBq8/sWGWAx55mjC8TM1tPTZPKOZaQrqgcD3BUpAbCCMLKMQegPLat/QGxhWB4alvmWYJOzeMeBNL+nw9peGYFosrU5xcbnOUiclgw6s9hI6/TgH98oAzvcUF7sxt1wxz3t+cpGrd9VZWJ5hqdNkpRuw0vFY7UF7ehvNqc3/auvOq/5s544dp0aj0fCKK678VkMpf/2tAfjJE0fYtGmj/8ILR37khcOHf/vxx58Syyt9OY4Mg5GhN7R0h5aVgWC+rzjbi3jx5Rd5z7uXuenygMXVaRZXm6x2A1Z7Pis9zWpP0OlZOv2E1V5Mp29Y6Vsu9gTnO4aZ6QHfdkuP26+K2b1Z0a57dHs1Ak8CijB2hquxMBgBwjDTGnH4rMXYkLsebTIe1Ll8u88d1w+IzCr3Pj7NjVd4HL7Qp7PS5iXXD/jyYwGbZy0HTlr+8du6HDgRsHlW8qXHFXdcrVgedDl2epYbrwy595kh8bjB7df47Ns5Yhj3+eJjChLB0TOadkOjBQyGEmMFibFEMSAN2jd0+pZmK2Ln1jEvvXrAt90cM9esMb88xdJqnZWuuzcrXUGnD51eTKcfO1kysCwPJBd6gsVewm37L/KL717ghr01FlZmWOk2WO25+9sbKPpDxWBkSaiZy6+43u65bN9P7d17+R8sLS2EV+3/2wHyvxUAj6NIjsfDtzz84OcvHwzjX3344ce8ceTYaTg2DEcJ/ZGhNzL0hrA6EFwcKs6uJtx+9Ty//O5Fbt7nsdqdYmGlRadfY7Xns9rXdHqKzgB6fUt3ENPtJ/SHhs7AstAXLPQhSsbccMWQLbMJ/YHljS8Zs2eLIU4kWlrCCO55qsapizW2zsQ8e7QGpsFVOxQ37TcEtQGPHR6wsNjk2j1N2tMrPPi0x61X1FgarLKy0mbLFsvDBxTf/+o+jxzQ7NjksdjvsLI8y01XD3jw2YTZ+jTXXt7nYqfDw89PU9dNbtlvuXLXCGSfp44LNs1GzC9E3PuUxyhSSAmJsezZGvJtLwnp9RXbZgw3XQFh2GC502C5E7Da9+gOFJ2+pNuH7iCh20/oDRK6A8PqwLI8lJztCjrDkDuuXODf/dgyN19ZY35xmtVenc4goNv36A40vaFiMJQMxjAYJgxHMS+68dYIqf7Fd779zUeajcanPe2ZbzW2vuWRzNFwwHg8+qFDB5/4jTOnjswuLy/TrEukEghpsRasBZPusQasRcgEKRSPHt7Mz73P4213LPM9r15m7/aQC0ttAr9OPfBpBB7NuqZXl7SGHlNNzWCU0B8mbB4bhmNLbxSwvFDjzGlLGBvOXogJAgsIfGXRUjAYKgQe8UDzoj2Cfdssu7YPGCc9Pv+I4uCRGV53c8BNV6/wwc9bfNFgz/YBTz+o2D6t2NAeUFN1wsjjYg+aNc2OzYInD4bcdGWdV964yB9+ZojvtXjtbRYvGPCVh0M+91CT54/XuWxbgz1bEzbOhOzdEHHdngSlDFpZwNIIAjZOB4SRR2/g8+xhz6UnDBX9kaQ/hP7I0h+4a+8NE/rprLg6hIWBYn7F0pjq8NNvXOAf3B5y/d4m5xfarPbq9AY+3YFHb+j+5nAkGY5hPHYzSJQIHvj6I97s7NxvPPzQY8u3v+TWfzboD/6w0Wz8jwvw0WiAQPzYkUOP/PIzj391dtDv4CkFfpbNJsBmjh6LcJ8ghUVKixYJgZQ8c3gDT7zQ4PC5i7ztpX1ees2I6Vab5U6DZrdGe+jTT1mnP5IMR5rBWDMaW0ahIYwsUWSJE7eFsY81IJXA04KaL5huCWZasGWDYcfmARtmOnzhMbjvCQ9ppnjdzR4vuqrH/c9HhKM2d7xI0BkOubjU5PYrDRumB9R1wChWLHQjlBG86EpNozXm8UM1XnHTFC+5ocfjhxTYKW6+xudH37zMl58M+dIjTQ6cqrFro2LLbJ2ZVoOpFtQD8LRFSUcAB44LkkQQxYIwhnGEu8ZxwnBsGI2d3BuMDf0hdMew0Jdc7MHYjHjNjcu85aUdvu+1hjhqc2GpSbfvwN0bavpDJ0v6I8lgRH7/RuOEMDKEkeH06fN8/JNfmB2N4//7da99hR4MBu9rNL51IP+WATwcLyNl8qOnj97/y6eP3LPJlz10SxPFFhVZhAAhBFIIhFAgBELESAlSuiiiVhZPGWqeYGFQ58N37+ArT3R5+XWr/MBrVrlub5+56QZLqw16w4DB0EuBrdwWCsaRJIoFceymepe75YxKraHmQ6NumG1FbN80IKbP4bMRH7m3xrHTTaaDOrdeo7n9+i4Pv9Dhrq+3ue2KGru2DvjQ3QIlAtqtiNX+GGNBCdjYHtDt+Zi4zltefpEPf67Bvvkab7ptQBgtce8zc0RJjRdfs4k33drlip0dvvL4gKdPN3jquM+OWclsW9AIBL7nBqEUIITFWDDGEsXpYI0s4ygFYgjDEHojwcpYsNwDoUfcuH+VH/i2VV52TcKGdp2VbpNOt+Y8NEOP/lDTHykGI8kgZe7B2DIaG8Zhwjg0hKEhjC1xojh9bpU//diXNnUG9pff/PqX2fmLK+/fvGnmfwyAv+nd/4HPvtcwXPjDH47H5lcHC8c3NP0heipgHMI4lmhlUVIipcuoE0IghERJjZIJUop0ejZ4yuJrS00LVkaK5c4MH72nyUPP9rnjhlV+4LWr3Livw1xSJ44DBqMa/aHHcKwJI0UUS+JEkhiBsQKBRQpL4BsatZjAD/G9MWeXxnzmUcmRMz7Hz8ygTMC+rT5X71XcfFUXFSzwzNEW26cbXHsZbNm4wnK3zXXbJbGxfOGRgPFAMt2Mef2LR3z63ohTF1rsv9zj/OqI54557Nw8ww17F7j/6R4PPicYhz5X7Z3lqp0BV+3ocfT8MkfOwiMHGxw+1qShBYGWNANLzQMp3QxnrRuscQJhDGEi6I8F3ZGgG0FoYowdccsVXX7g27q8/LqErbMBw9EUS50avX5Af+QzGGoGI0V/pBiOXIBpOM6YO2E0NoRRwjh0gyiMLOPYEkaC88ur/OcPfXXTPU+f+dW5aeLb3vkXH3zoI48j5C/8/QV45+yvMrU95J01//vuvPaZ//jdrzg63QpmiKdabsrTHl6kGCmFkhalLEpJlBQoJdBKoVQG7gRPC3zP4HuWwLM0/ITpmqA39ljpzvCx+9rc/dSIzTMD3nVnh6t2jhgN+1y717Jzi2IceSSJIjESm4FbGjydcHLecvyCYHVo+OT9Dc4uzmBDj5maYtucZvcWzWXb4dp9XYxc5L2fbrK8PMVtV2mu3dfhK08JROyxaUbSbMQMIh9pJViJ0j6dkWB+WXCNbXDnzT0eeLzOtg0+t107yz988yJ/8Lkejxxq0h95LK222Lutzv6tA158ZY/vfEWPc8vLfPL+gKVBwMnzHmfP+nhKIKULdBlrSQxExpLEhpm5iOuvGTAeR1y1c8w77hyzaUox2wqIohrnF2r0hz7DscdgpBmOFYORYjiWDMeC4VgwGpNLknFo3BZZxlG6D2EUwygU9ELN+RNdnjl574Z/+9Pef7z3v2yNEB/4k3/6i7/Lb/6rn/z7B/CnnvhVFrhBPPfEo+985oUXfl/GzzVadclIjokSjcwAHSq08tBSuffSsblSEq0EOt17WuB5Bl8n+NpQ8yz1yNIILVO1hJm6YBBKemGT42eavOdPZsHEiDjm5usH7N0SEsdgrMFaF8SRQiCVQHs+h075HDhSo1nTtHzJhoZg45xk06xm20bF7q0J+3evkogl/tPH25w8Nc1tV3pctSdhGPf4+jMB03WPuSnLdCukUXdSyBhJZ6RY7luWOgmdfp2XXbvKowcGHDylmG7XePE107z7LUv81ifg8SNN+kPLak8zv9xmy4YGm2ZG7J4b8X+8c0C70eHp43DotMTz3D0UwgDW/WchjmHPloQ7rotJIo8oDrC2wSj0uLDoQD0ca0ahyuXbMBQuzXgsGIUwDh1r58AODaPIEoaWUWQZRzCOBMMI+qFgJZR0YwNRxBe+cnp6dVH9vvD+WfxP3rX9o1ds/0370z/6T//+APzd//aPeffvXKG+60UPvr2zfOGDf/yZ07Wbr2xxxc4++3f0sQiUNCkze2hl0UqhlU73Fq0tnpKOtbVg5Cl8TzL2JEGYMI4s9cgwjgxhaGnHOGaJIYwFo0gyTgKipMbBI02eOgiJtThoO23sSfCVy/loBXDtVmjXYaopmWkp5qY1m2Zh15YxWzeuEtll/tPHpzh6bIqbLlNctkOyb8cKX30uZn5pipv3Smbahpo/JJABVgniRCKsJU5CVvo15pc8brqqzouu7HH/4zU2zwgatRY3XWn46bcv8R8/YXjubIvVvmG1p1hY0WyYbjLTrjPTnqLdiNjYjNh9U0jgxXg6RqkEKZwxYXGDKooUFxc0UayIYkUYKcZRug8l40gyDiWjUDIOhTNQQ+HkR5jdV7fPJIn7PGXtSDCKBP1QsBoJVseWeDTgxj09fvTNQ67d+0jj2MXog6srI/OP/+Hej7/7O34zqW3+7w/y/+4A/6Xf/FM2tGtqSh54xye+2v/Dhx7t1BK9hRPnQ2Kj+YUf73DV9i5aJkhpUDJBK5OC26C1xtMKL1R4yuJFEl8L/Egw9gRjXxFGknFoiCJLGCfOKxKXtgTixJIkhsTg9LYhB7cQoCRoCZ4HgRbUAkEjkDQbiqmGZGZKsGk2ZveWAa3mKh9/IOTeZ2ZZXWxz/S7F7q0eV+wckYhVvvBIg6an2TijaDVGPHMUV3G/0zIYK264IuL6fZYL5xMWVnyGowZvuLXH154ecvisolmXBH6b6y4z/MIPL3HPc0M+fc8GlrqW3ZsSVjqa6bZiqunRang065ZaYAh8Q6ATtLK5IQ6pm9UIjBHERhIngjgWRLEkjAVRJBlHzvMSRoIwsoQhjKPCO5IRxzi2jMPMeIVRLBhFMIwEvUjSiaE3SiAacNOeZX7+x5d460sTwrDBzg0Ha5Go/9HZQ7P/0yi57M9PPP9HyZ5rfvDvNsA3t60cjjvfs3D+3O+cPnGmNj03Sz8yhF7Epx70CEPNd93Z4Z2v7jHbjunpOp5K0NrH0ybdFL6n8T3FKJQEXso4vkgfiEgNRggj6TwIceH2ixNDkjjvQmJTT0nqLRFCICUoKdDp7BD4klogadYF7YZlumXYPDtm40yP2K7y0a9J/uBzc2yq1bh+l2DXVo892wy7t67w8a9blpdrXLVFMdOGViNi/oTk4kqAv9dN4xunJNPTcPi4ZaVruLBY44o9NV59c4/P3FdjrgWB76PkNNftE/z4my7iyYt86v4Znj9bY3M3YtN0zFRT0aorGnVJPdAEPgQeaG0dyAVIUQI5bmAnBpJEECekQIcosYQxRFHiSCFK3aexIYwNYRp4G8eZHHHXMooE/VjQjQW90DIaRUwFXb779Yu8884+r70JOr0phuOAcegzGF6sjcXm34/FtLbU/hTHM383Af7xT3wKY8wPf/2RZ3/93OmT7e3Tiu4oYUVJOpHPUCq+8Ijm68/WuLCyyD/+zj6z7YiR36A7iPG0j6c9PM8jDA2+pwg8xTiShJELpYeRIIwdyKOUleIYogSSxHkSjHEGlzE2q+FMwe0A7gxYgacdQGoBNGqGVj1muhWzcXrIhplVHjgY8kd31Tl0fJo9Ux77tsCOLT47NsP+XV0GcZeHD7SpK4+NM4rpFky3xsxMxfi+Rgg3uIZjn+VuxOrA0unHXFzx2bWlxUuuushdjww4dLZNI4jwlI8QU+zbrvjB1y5yy/6L/NFdLR5+dpqlvmZTO2a6EdOoSeo1ReAJAk/iec5WUYrUfehQbnE1rMaQAz1OTDq7pa7F2BAnzuUXxRDFNp8RndxLgR0Lx9qxoBvDcJhg4hFz9S4/9V1L/O/fO6Ae+Kx2GwzHNcahz3AU0B34LK2eb1uv/p9mN13j3/fVz/3BK171pr97AF9d7aCk/LE/+9hf/vLpM2fnaoHM/cxCGHwh6EhFTzbojDW//mceB44u85ZX9LnzRV02bxjR69XzkT/2NEGkCX3n3ssAHkWSMHbTbhSnPu2E1PVHytwyjYSm4HZBypS5QSsXMPE9S8031GsxrVrMTHvM1g1d5jsDfvuTHl94dJbllSaXbxTs2iTYvslnxybB3m0jtL/Kh+/VHDvd5MrNkpmWZKqZIOWYswuWQEukAGsFYaTZvanLIyR0B4qVrmV+uc6VO2p8550d/vwrPifmAzwdIYSHsU2iWHLz3hV2f2+XLzw+4ENfmOWxE022zwg2NBOatYSaLwg8ge85W0UrnOEsRZ6TYbF5ZNhYB2xjyEEeJ07SOT96CvDUjgljGMeCYQL9SNKLYRga4kHIjg1dXnnzKm99eZ833GLQNFlerjMOfUbpNhx5DEYeYazprJyba07t+tWX3fkW1e9339dstv/uALzT6eB53j+8996v/fLTzzy3yVrwUuMtSUEmceDyhKArA7pjzYe/GnDPMz1u2t/le1/jsuDmpgOGo4DB2CeKPMLYI4x0bijFsfNlR0mmLSVJIkiMKLS2EeSqxDrmloLUDemCRb5nCPyEehDTqo/ZMN1nGA35yjOWj3x1ioefnWbG97huu2XrrGTznM+2jZIdm0Mu277C0yeGfPJrG5lSmo1TgnZT0G5EdAYJn/t6jZbvglfGwnCsecsdYz77kMuJ6fQNF1c0Oza1eNtL+zx8sMeBwz7NIEZJ4UBuGoxCp/V/8NUdrtx6kQ/f0+XB56c5tVJnS1swVbM0fENNG3wPtBIo6QayY3LI0o9MKtWMKWa4OAW6IwgXfo+SFNiJY+1BLOgnOJsnDGnWB3z365b5ntd2uflKw+ZZzWDQYrUXMI4CxqHHOPQYjTXDsWYcKZLEGQenThzc9PSTm375RTfdYXrd7gda7b95kP+NAnx5eZVOr09i+KF77v7ar33prq/MLa2sIoV0YNaWwOByScCF26XAV4KeVPS8Jme6AeceavDQMwP+/Pou73j1gNffMWJu2iccB4xjjzDyiCIv9wjEiSKOJbGRJEkBcGNT5jZFTpkQNjUqTeqdMfheQuBH1IOQVn1IwpAvPy75k7unefb4FCIK2DNj2Tpt2TCt2Djrs2WDZNvGiF1bupxe6PG7n24Sj+vs2CGYbmnaTWg3IoQX0h02mW5ZhBBYC1EsmQ0UsYnpRT69QcJKV3F2oc41l7X4ie9Y5Vf/NODkQhOtonRgaOK4xiiUbJkLuPnyLtdf1ue5k2f5yFfr3PXYNOc6dZqBouVD03MBME+Bli6cL0Q1u87gUnuMdYZ3YiFOhPOfJ4IwcUGiYeJYe5hY4ijGRCFztQFveM0q73pNj5dfFzNV14RRg+VVJ0fCyGMcacJQM440o1AzDjVR5IJqCMGgv8IzT9yzKfD5tauuuTVeWTr3X4Jak3rjb65/4t8owAfDIdPt5lvvf/DR3/rMZ7/U7ve6SKUw1qKV03y+JwCXtC+FcCFx4dJPakrQVz6DWHNxXONTDzW499kBL/5Sn3/yXT2u3tVl07Si3dCEkU8Ye8SxzkHuwC1JjMRYmSZqiTz87pjboJRNPTQxgR/jqZDuMGKhG/EfPl7j+MUZHj8wjTU+c3XBpg2WDVOCubZibtpj85xky1zM9o0D5qZX+MIThseen+b6HYKZlqTVkLQbhmY9RHhjgkCjXbaBizImkuFYMxxFxEbQGxp6fcty1+PCUpvb9/d5yTWrfPhLNerLCi0jB0iriROfMHI1nhuma9yyr88tl/d55JXnOLkg+aO7prm42uDMUoCvJE1P4GcyTDrDMyfyTKrgmDy2gthAZATjxLn/QmMhiSGOkGrMtpkh1+92z+PWqxPadU0cN+n0fAfslICcjNRVd2Qk08ixS0GWUjEedXnmibvnPK1+a+/lN62MR8NP/k1i8m8M4EePHGH7ti3qj/74w5c/d+CF9qDfxfc1Np0KrRJ4qUYQCJcwJSwqTt1zsSVQgoZ20+DACxjGHkthg7sem+KB54c0gzH/0xs77JyL2b1tyO3X9tDClYgJ4eSKi0q6XGlXxpaCG4uQFiWcz9wSg4x57rjk0YOazzzc4rlTLcK4QUsrNtYts03LTMM6P3hbMzulmZsWbJmN2bZxyNaNK9z77Jj3fmYTW6c1G9vQbiraTUGrEVMPxjzwgmIUarymA5W1gjCW1LTixiuHPPTMtEt8Giasdj0WVwPmF2f4iTfNc2ZxiYee3IgnARFhgDjWjh1DSX+omWnVmG43ecmVA155/YDvfdUCB08bPvtwjYcP1nnhWJNYaMZjxSBSKCHT1Iey4ZnGBKwhNhZrDJ5ImPJDakS85KY+e7eO2LEh4gdeP6buK5o1x9idnmPrKNaEkU7PL/W1xxO2UrrFsUsKc3aRYmmpxyMPP9A+c3b+8te98R3q2NGjyWX79v3tAfiBA8/Tmpryn3jisR/xlPn10WCVZsPLNV4GMBCp39mmSVROpqjESRUvsfhJCvREMNYwTHS61ej1En7twzPYOGLzxhHX7BoxNxXzjlcP2bUpJIpEqrcllJibVH9KaRBS8LF76jx9tInQmpPnGpydb1CrK6YCwXTT0q4Z2jVo1QVTDUW7pZhpaeamYcN0zOa5Eds3dUnsKh/7Wpthv8kVOyzthqLVkLTqhlYtxvNCvvBQjfFA4m1ydkcmUZp1xRtePOS+Jwz9saQ/TOgONKs9zYWlBlfvbfGOl3d5/LkGJ5dbKGmAKNXLHlHiGHEUSvojTafv06o3aNbHXL1jxG37R5y+2OHE+VW0l/DUMc2ff7WBUMqBe7L/oDWAS0WOwoTdm2Pe9eohG9oJ+3dbNs9BEnuMwxZx7LHSTWfPRBHFOjXwNXEsCePCNsrA7TIcZeqWzBwBDuRxojlzbpnGVPzrjz/+2GDfZXv+4IVDB8Ir91/9twPgp0+f4eLFhSvPnz/72088+Zj0tMsATFLLXKRsnelfkXovpLToxAE7UllARuAnllri2i60EkuYCMZGME48xsYjNrDQb/PVpw2WhL982LVscLnihgzZltRFlmYkCiGRShFHGmk0npa0Ati70dL0DI3A0AigEQiadUmr7uTQVEsy04a5qZiNM2O2beyRsMJ/+Isa9z+ziX1zMNNI2bshadVjGvWQZmNIvd4gUBIlUw2OG/RR5DEaCobjhN5YuYKOoXElc02fM/NTvOyaMT/9znl+4881p1YDhDBYG2ESSxR7hJFkNPboDxWtoaZZ82nUazSCBrUgolUPufmKEN+LuPWKmB94zQCt4jQIZBDCVkV5KumMkQghCTwF+IzGmqUV7fJ2kszmSfeJIk4kcSyJEpUCWBGlBn/h2crcuO44SZxRm/njo9jyyKOPSCnlb0fh6Gvj0ejZvwls/jcD/DOf/iS1wKsfP3707YePHBZFBmAKbGmRicmt+CyoEqd6UCtLlAh0YvESiE1hxccmuwmW2AhiY4kMxEYQGUlkJYnRRCYgSd1e5VcepRSghXBSSEGtbqlpS00lBB4EGmq+pR4I6r6kUZc0atoBvCmYbhlm2zFz02M2zfbZtmmJ937G8KG7NrNzWrGhZWg3Fa2GotmARj2hVY84v2Q4ej6g5rv0W8gy/QSjULN3i2HLhhHdkc9wZFMWl6z2NK16jVZjmh94zUWOnb/A739yO1pqLIbEJO5exJpxqBiGLilqUJM0Rpp64FEPEjo9Z2P4XoKnEzwvQUtXKCFlUiKdNG8lzbh3IBd0TJplaZxd4+wblds5cex+HicyB3mcebOSAthxtk8JzMUo3PvMlZskLmP0uWefEcPh8O07du05+qlP/eXwO77jv62Q+b8Z4JvmlN/tXfzZXufizwobysBz/ucMXMaAFNIBXTpGl6lVr6S7MKVsesE2DaXbdIRn79PPsjB7minnfLkiN5TKmhtII3npQJIGneeQO7elp63zG2tBLZDUfEk9UNRrilZd0mpYppoJ062Y2faYDTMDdm1e4uEXxnz4nm3M1AI2twzthnDgrkuaNUOzFtNqjHn4EDx1sMHlG22qe4uw+XCsuHW/5YpdQx55dprB2LrSvKFOQe7RqNWp16b57lcs89QLF3nowBawCmMSlw4bW+LI5vkkw7GmMbLUa4qabwh8j8BPCLRB6wRPuxRjpYxbgkW6mRVhUwlJCvDMOBfp/c1Anmrn7NgIkhTQiRGpJ0ukzzJj6gLY2b5g7xLAjfPHr3YG8uTp8/9XYgO/Vm/8EhB+ywAejgcyDEc/f/cX/+SfDXrn/XqgiROQJg0wGIExGYvbHOTSWJI0ezBJLNoIJ2fyixU5oI3BsXMKcpNG4ooyNksp8l6ZcbNQdRbQUTKNWCpcNqJ2BQOBJwl8RS1Q1ANBoy5o1S3tRsJUM2a6NWZuasi2jSs8dGjIz//hZk6dmeayDYbpBrTrimZd0axBs5ZQr0X43ojOyKKky6GRsjizjPWi2KddjxjEhsHYrc8zGCX0BpJOXdHoBdSCFnu2RPzCj3T4Nx+UfP3AZiwKYw1JYoiTOA2lK0ahYhhI6mNFzZcEviXwFYE2eJ7z92tlHcBVSjSpTBHCVgt009B+NiAzVs/y5k0KZPesSBmeAuypuzFn6jJjp885TkFtEps+b0sSW44eO+0nNvgXP/HuH/J6/cG/ajUbf+1w/l8b4MNBlziOfungs/f9r4sLp2s1XzKOnfEYm5Sd0wuUxrkDkxTYibEYlb5PL87kILd5GNnkPlqwxhZsnaaBZhsTAE9ldyGJBGlOuXOX5em2WhL4rgFQLXAtGeqBpVkztBoJ7UbEVCtktj1k28ZVHjo44N/8wQYOnZpl96zzsLTqkmZDOvauWxq1hEYtIkpC/vhLLaRSeNKiROEmNDab1j1+8HUrfPGxkF4YMEgB3h8qen1FJ9DU/IDAa7N/Z8wv/ugS//oPBA8+uxljJYlxYfUodolm49Awrrl01yAQ1DxB4LvIpq9tHrHVyiCVm0WlsIhsX2aI9IYW99qB3M2cIk3eKhLXckY3YBKR6+tkDVNTIq8skloFuLGCI0dP1j5/1z3/9Du+/bVitdP9uempv14Q6K8N8LNnjmOtfcnB55+qj0cRQki0BKEtwrhpSKZRNJVerDKCJAW2SUPE+fvSll18Vn5l0puauRxNStll5s5eGcClACFd/xBZYm+ts7wTiedJl7/hC2qB63nSCBKadQfudjNkuj1k43SHhw8O+PkPzPLcyQ3smBHMNUvSpKZp1lz+Sr0WUw9CPG/M2aUZPOVSgZ1brjAyk0QSx4qtM5Y4juhGNYZpGdhwlNAbSeoDRc338L0anp7iqh0xv/gPF/iX74eHnt/kdHBiiBJLFCcpkxvGgaEWSka+yiWY54GnSVORpYsFpIZ+5s3KJpkJjDtwkwWFUpIxFIBPP89mX2PLYM6uN5uB1wLb/X7x/EEQxyGPPvp4/Zr9l73kv2XFib8WwO//2l2Mo7jxtXu+5I8HPZSSzphTNq2jtCmDC1R2A1TB6MYIjLQk5QuzjqWrMsSmCVIlOZIxyiXOTYoiicoNMJGDW0nXa7uQJ1DzIPAN9ZqlHjj93KhHtBsh080hG2Y6PHZ4xL9+3wzPnNzItmnFxqZhqi5o1SSNmqJRF9RrbnC4UH/IQwcE/ZFPTWUeI6fBsyKExAiiWNOsKW6/tsfDz7UZRE6mDMcJg6GiFygCX+F7fqqfp7l6p+FX3n2Rn/k9ePDAJmdsG5MWSxc1mGNfEvjGsXeam+Klg9ttpDKlkHEy9XKtD/Lsvos8+un85y5SXJaS5WSunKwmgWxtTl6JtW6GNoWjwNOK0aDH5z73Of/1r39d47Of/cLg27/9Df/9Ab4wf5INm7ZN3/3lT/9uEo9eYYxJk3rcZoTFSjeiVT5i3UhXKdDLU5tRIr3ACdYuAdrkwLY5c5Nq7/xhiNTHLoti5QzcDuCg0oxBT4Pvge8Zan6aYBUk1FN50aqPmWoNmWl1efLImH/9vhmeOrGJLdOajQ3DVB2aNUGzrmjUFY2cvRNqQUyrMeLep3xWOzVmZooweQaYTL9GiWLTnOI1L+pz76PGVdGEpgRySc2T1DyNp320riOl4eqdll9+90V+5vcsDx7aRGQ0UZYBmNicyYNI5tmFvpZonSZhSYHS2b0hP79sEGZSJYtdZOdt7drNlPaZpDSmPPOWmDojqxJz29Kzzmwr0ueYJAn9wfAVx46deP93fufbfvLI0ROrl+/b898X4Bfn51laWv6ZxfmT3xOPl6j5Oh/9iEKvFck8DsC6PJWZyZshco+Izae/b8Lc6Z3IInK59pZZBl2hu7OMQa1w+Rna4nmusLjmG2p+Qr0W06hFNGtjWo0Rs1MdHn9hzM/+3gaePLaZTdMemxoJUw2bgjtl75qkHjj2rwUxjSAkNmN6YYBQEi9j8FyDp1N46maLIo+mP3LpAmGNmQzko4SB7xg88CWe1ng6W4DWct0ey6/+5Dz//HcMDx7cTGQ040QQJiZlcUEtMgSexfcEvjbp7OVK/lQ6o7n7I3JJJ0v2C4hiYJZtnQlw5yRUBqutMrctzcxlIlvvGQNIC1YKzpxdoNE8/j1PP/300TCM/uV/Vwafnz/Lpk3bdv/lX/yX65cW56kFrpxMlKa2ydFuUuPQlj0iJQ2XTWWTbJDlkEzmkxSubluwdtmoFIX21zLNGJSkJW8O2L62efZgzUtS3RxRr42ZaQ+YavZ46EDMz713A08c28zGKc3GesJUzdJKwV2vOXdiBu56kFDzY9rNkAMnLPc83sSXEk+5ypryWjeZ4Rwlitho7rw54vLL+hw9VWdjA0ahdds4YTBKWVgrtPbSGlV3z6/dDb/y44v8y98zfO25jYyiOuNEEsaWRuwkS+DhQK6z2cvkta1SJfkMp6QoAVyUQM4avVKAvEQ8tjzrFuydZyzaKmNX2bv4W9lLGJFKJsn5c+d59LHHr/+Jd//D3afPnD25879iucO/MsAXFy5Qb7T3HHz+kd9MouW3SgbUfJGDKQsTOHCL0sgWpYvMLmxiSssu0ogC4KVBsoZByIL+64BbWKTK3IIODFqlrK0tvjZ4niHwDIEfU/NjakFIozZmdmrASm/Afc/Cr/zJFp4+soENKbin65ZWXdCsidxX7jwvxrG37wBeD8aEScJoWKOm3CDL0hJynORuNkkca6fl9ZhxaBlGogRwg+8n+J7G86TrKiC9HOAIuGGv4Fd+coVf+9OYBw/Oca7TZtSUTCeWVmyppR0HAs+mvv/Mk2Jz9s6kSgbw/HzTky7jPNfk6UOx+bOyVTavEFyZ5amwfLVrWfn5FvbB0uqA8xeW3nrf/V9Pbrn5+n969ty5E9u3bfubBXhn5SSjQf22pfmDbx+sHma6pVMLvMreVNhXpCNX5KxsTHqRiOIijVhXipQBXlx2oQqzh1C+Gc7XTt52wgV2XFqspw1+nh7rwB34Kbhn+yysDPnlP27wya9vZLE/w8YpycZaCu6a092N1LCsB5JGYFMGd9q7FoRAyN1P+qxEPnMBlXzsQsJlXgdX/NAONK++acBDh0J6UcBUWtg7Cg3+2OWq+1rmBdhKegjpAjRYuGqn5Df+SZfPPjTklz6wmTOLMwynNdO+oBUbGjEEkWu97CvX0MjLDE0pciM425cN9fLAFCKvFSlYPCOf7FmuAXsV8LbM7JOanurzLohL8MgTLzAzu/HtQdD448FgeOJvlMGjqI/WjSvOn7zvf4l7T7BxJskfVo7rNIpYlhSZQWWsqHxuShrdWlGdqij+LROjOjtKPW55GzeXEkDqvUkBrixaOmBrldV2Jvhegu/F1PyIwI9o1YdoPeDepxLe/7k2n7l/E6Fps6kt2FBzssS5ADM/uUo3kTJ3mb0jtB7zwPPTDELN1kZ2PpMMnhnekihW1DzFS64eEhsH8GEk0lYMzrc9GhtnHOq0N0zm3stnTcGGacH3vKpPKzjHBz435L7n57gQ1RnUJO3Y0tTWgVyndoiyqV1iU5Bn91AUuePSLSeQ3evJFQXLIM+M/klyKjN1YV+l2Cj9PEvdpfQ3yAaTdRVaX7jnWS7bd+X/8tY3veyJbm9wuN365i3hvinAbXyA1fOfQAfT2xgfeuVU7SyBbhInicu7Nu40qrq5zOBMALxsSJYGghW58ZL7t9PP8ivNR7adkCZZVI60Mp+881XG3J5yuRiBF+H7ETUvpNEY4fsD/uQuzXv+yyaOLsziBTW2tASzQUI7sDQDaKYV9vXARTtraUDI5a8k6Uzg5MliN6Ef+vhK4UubG5jZ+WfX6lxmLuATxh51b8SW6SGrgxbDSKTt1pyt4HlJ6uZTqbtT5f7rwnB1mY9vfXmfW69Z4Ff+aMSHvrCR5bjJIPBoepK2djk4gQZfkRdD6Czok858MpcqRYSzosnXOBGpkJIrcC7Aby4B9jUsDmsYPXNKxInixEKXT9536JWnO2bbwlLn8ENPH+clN+z9bwP4OExobH7Vnqj3xHtl+CDT7ZjhWBHGumh5ZkQqM0TKwM6otGkV93oAz4FOFeiVNNd1XvkNl1nabQng0qKkcVmKOXMnKchjfO0kSeCPCbwhJ+Zjfv+zTT7xtTmOzc/QbnjM1mAmSGgFNg29Z+CWKbhlHhSqpdo78N3AaTfHfPwBzeGTdWpKuIhh5kGhQHnexsE6HR7Fmqt2w5tv7fH+z8/Rb2jakWuoE4Sp3aAMWsu0sxclkHslNnKzwq4Nkp/7/gHX7z3D731mlmMXpliO6ww8TVMJGinQfWndwEm9TPnsl93XzH2I0+eFj7z6gMp2fy5R+AbArciX8s8LTJSj2LERjGJYjjz+8r7neOmt+977D9/24jdeWOp+U6nyDQF+dtES1OF9f/7wjsXzz+57zVXnuHLnFKIrUbHnCgwSma9wlhUZVGSJcaB309A6TE9V3lB6X6DaVnRgBuwsDTfLcXHNg2xajpYlGMWuckfHBMEYX4/pJSG//VGfD3x2C2eXpjGqzuyUYta3TPmGRsrcjTx8L9M8lVSapL7zHNy+i16Oo5DDZwL6YcBMkHpx8iai5IGecrAnTiRRpGk3NXt3hKhgRC9sMfQF9cj1IPFTeeWlEkVnXg+hLmG8KjZODfiJtw54+50X+MBnu/z+x+ZYHDYZ6ho1rWhoQV1Zgtg6NpdOqmhZpDdk0c1JJoe1cqXy/Cpgn/Cqpb+TOx/KbF1yOuTMbVw9aC8RrI4sV8ye4Jot9+3buSHZsXPba05YGyKE/9cDuGdPAK2N+3eKj/7T33vC+7afNdSDEaNQIqQlltol2RjpKtcnQG7JPCOF9s40NiVwF5pLTGjuLOhQurlp5pvKQsyiDG6DUokDuE7QKsH3Imp+iO+FdEYhDzwt+ZO72nzsa3OMkha+7zPnC6Z9Q9O3NAJLwy/AXQskQSAJUmniAkOpZyIFuO+5yOfx85b7HmsQRh5B064xMLNXEfxymXlhpPA8zWtu7fHhL/c5dKbJsCYYR4KxZ/Fj8CKDF5q8V6OTEbJo7pMBPPOxG0kj0GyeHvLPv3vA1bvGfOiuFo8emGJh2GSkfDxPU9OCuoRApm7UzL0qXV5RnrCW9ViZBPokk5dAPmlPmUnQm+KzXLalv5dYl5wVGhgYySC2mCikqSNafMW7uPSajw7N6oskqwt/bQY/tbJTXlh86LblC382tWHuIhumEqSICLwxUlgileRJ8FkCjs3XqyzSLTNwV0EtSiP90rLE3Ui3lhrlxCBh8nRPp7stWiUO4CrJ5YjWEZ1+xP3PCv7w823uenyK5U4LWa/RqiumPUvbNzQ8S8O31H1S1nbMXQ8kNV9R8wU1nzRDz6TgNgSe099Kj3nhDJzt1FxgJdW31cBJYV+4aTjNvDOSMNRsbguu2DnkmVMxg8hjnPb49kMc+FSSSpQsUONSkcuvbPBkbsgocfnh73rNkNe/eIWvPNHjg19o8+iBNku9Bh3p0/c1vhL4UhBIVx+rpVulLsvlkcJJF1GKPWQAr8RASgS1hsnLkpSJ2AdpYlYK8sgKQgNjIwgTi0kisCMWu4IT5wd8/smPT73p1dx23TXXf55v0DzoGwJ8ceFUsLJa+53f/qOVZiAlQlmkivC0ykvAYqkwSmKMKgBuCyYvGLqqvzOwwzqSpAJwm+/LCfpOlphUc7uWb0om+Jk3Q0Ys9GLufUzzuftbfPK+KS52m4haDa/l0dYw5blKnrpHKjug7ot0k2nKaaq7fUGQsXcGcB3j+zE1P8TaiLsfDzh5vs6GWYEnTapjRVHoW6I6a4r00yRRDMceuzcLXnPTgE98PaQfeQwjQc2z+LFj8XFkS7OUyv3VCFmRKW6TRaGCcf72ejDmXa8a8m23LvGXX+vx2fsb3Pt0i4udBkPhM/Q12lNoIfCkwJMST9hUalmUEE6Pi2rx8qWe3iTATT4AREWDG1LGLoE7MhBbizEJmBiSMZgQTAIKXnPdgeYV25PfITx9NTD8awH86QNPsLjY52tfTdi3u8Zit8OebRFeLFIGTVBSp411ZL63ZYAbUQU3omJI2kvcngz+uSwpAVwKB2yRAlzrBF9H1GoRo3HCobNw4pziI1+a4vOPtrm40gSvhm57NJSk5Vla2lD3LHUPap4Dd81zPQldmqksbSL9uU1BbnKQ+54rTzt6zvDM8QA8L53mbSlEX3FBVNgryYsCXDvn6/aOuWZHn4NnGwxrgkYsCCLLWJG69kzK3pk3JXNBFlol97OnrkhjVNp9wGMUetTrY374DWPecvsqX3ysz599ucGJczUOnm0QrgbEgWakNVJJF84HtJSOzSmMUJXmq4hvBPKKLEllSDoQE1JJQinCbS1JVnpoDJgIbOzAHcVsnEq4/IqEq7cscG7p0HRt4/d933LPvn+2tf4ZXBLg0fCkCMPB//LFL/7mhh/77nkudi3jSIJnCFohXmgIw5hE6hTcbjltayYAbl0RcBFuFxNG5doTc6xtc4MSSqwtTArwhCBwnVTjJOHCEnzpq5qjZ+rc83Cdsyt1jp5rQhCgGpqaVjS1pamN8yJ4lkC7xvGBRwribJPpplKAk2ruFNxeQuA59nYDK+T4Ahw40cCTVfdgLlEo8sHzqTnzpBiZ1jl6XLN7yBWbBjx7LGYQe7QiV3ztpz0BVQngUgqElBUmhxIzmpIMSmReQxklHmPPp10P+cHXjXn59V3OrnS5+xGfY6cDvvh4g3NLNZKhh5GayFcIKd1MIdLvI414IirXtx6Ll2VLoblJu2xlIfo0CpRvMdiUvaMEQncceAlPPevzlfs9Ds0fnf6ff3Dw074XfwAqpts3B7jpfgJt4+959YuONG+/aZXf+9MW/+b/afPON2uu3BWzfcZw+Z4xgY1IQpUm4JdZPAV1BuiK7s5jkeuN+fSGFXJEiKzEyulrL0iIEsux04Jnjim+9HCDZ4/7PH+8TnccMA4D8HxU23MV+goa2lAv+YEDneVpZGmzLi88SGWJ7yt8X6YDwBba20vSpvtO59f8CGtC5pclYxugtcRPe71kbrYJAs9BnthqvWMYewg0G2dDpBrRjzwGWjhPR1QkjGllKhFImUW+ALJmRwiskQWTp3WTSSLxEpW3nxiMfbbMhOzaHHHzZWOG4ZD/6XiHZ0/4fOmhGs8cr3HsVI0oVhAorFQYIUsXJ9PvLtN4uV2HA3KJ0Ur7tI85JWCbUvF4mKBJ2Lc3ZNtszJW7I9717UPufdTn9z40zUhfYHnwabS+tBBZ9yfxygdZXF5VX3vkSXHn9T3mFzV3PVLjvkcDHj9aY8o37NoRc91VIa+7dcyrbwzBJnga6s1MY0tI6/QymUIGeNYf6jlbS9cPXAiLkIYotAxGDvgnzkj+9K6AQaR48vkaR04HLPZ9xokP2gflodoKXwrqChrKUlO4dmYqTTxSjrV9T7igRxncnsRPZUngQ+CTek1cyNzTBt+L04hoRL0WcnEl4UsPtuj0AmamBDr1xcsSDtZcbha2zrW4ZDxWbJhTvP72EV98dMipTpOhJ51M0a53jBdlPuvUxy4T5y6k3OtE5t9hrC59hwO6nygSrYg9RZRooshzrlQvoulHvPy6mJdcPeZtrxzxwmnJUwc8hqHiQ19qcPyCB0IyGGqSUGXpm1hdFuVVOVa56ExDpXsRW4SxWJuAtdSbLiAnMLz6pWNed+uIa/dH7N4RM+VbNs4ZAix/cVfI2eUltjYeEFNzd6hf+b1PxD/7E2/7qwFcCNgwN/3bd944f8On7tP8+/fPcnTex9aVW1uyazm+bHnwWctHvxSzcTbGGstNV4a867UjV70Rw8bphBuvG9OsUYlKXkp1Z815OgPBU097LHVd1t7DBzw+/bUao0gxihTnL/gYoYmshxEeaI0INFpKfCWoSet8vAoCZQmUdTngOvX56oK5/awuMwe3Sms0Rc7evmfw/SxBK8nZ2/cjlAr56hOKT3y9hfK1c7dV9PelGTzzhTsd7toujEYeb7ljyCcf6PKhu6foxzWaqQ73Mh0eZUEZm1cLCZGNpCwNTZa0fgngJq18147JPa2ItUbHiQO6SlDKNdKfqcXcsT/m9v0RVox5x6sGjCLXzu1TXwt45IBPPRAsdhVPPevTHchUJQm+senp8pGaNcONLwrZMJ2QJAaTWN712hE3XhFhDWycMczOWDQu09EYQTIQvPSakD//vxf5d7/f5PN3T93w3e+a/W1rxU/8lRjc2iVgtj1e/r3984tGfeDTLQ6fr2O0lzY0cRdggLG1zHcM86uuacwLpyyf/qo7tollaibhtutDWvW0FOkbhSjTKU5KwWpf8egzPt2OQmrJ2EjGVjtmEhrXF1gjpEZKiScFNeV8uYE0+BJ8lYJZFT36HMhFUfCgXSFAVnhcBrdj+DSt1ssYPCltMYGOsDbk7KJPOK4RTEn8NOyt0iShShQzq+gByi7UjFkTowgjj5mWYueGEF+MGMYBw1hQ164JZpZDkgW0lCynt8r8u9x3pPaQMUX01Ji0VrKQRnGcpHEDlS4+EBPFCSpybSa0SpAqZscGk84Yhqt3jQjtEKkNnY7g0Wc8VgdONlWLO9cHuUkB/pIbIqamLTZx96KuhIMYEmM8TOR64pTTA5Q0XLEl4kfePORn3mvUwmq8/9f/+Xe1f+Btve7ura1vDPCjJxdRcvVXH/za4Vf9pz9RPPT8DMb3QXrrjMxMP7n5NsbSyRrvSEt3xXD+ntLU9I1euY4UWCEx2ZILpHuhCiNHSpRwPfcC6ULOvrTpEiQ27X9SMF4Gbk+7inq39B45uF1Zl1sSJfAFviZPMXUMnrK4dmsCeTrG8yKCIOL0ouGPvtgE7eNJURiYuTwRaxi87DrLmoQ6sLmYQhh5/MDrh/zlvUOen2/RTzwasVuU1mUBFm03hMpiAuQ+6vxeZjOFkaUEr2wzeS6M1govcf1SvBToLnBWrLrhlkUp3LJSJmhhETZhQ8Py7S8zIJLcrYv4Bs87cy5YsEZjYufWtAjiUBJZgcHJ3MLzlg0a5x6OE4+XvyjkV3/yGM+ee+RVi4u3/Kov4n/0TRn8X/yHu5FK+vfdF3FucQsEAUK6rlDl8iW3z8xjU9pXdVZCmbntxFWWBkz29/NUQfdeSJmXoCkBvnBhZV84KaAlpX1WVFtKJNKU+qCQr/GTVdUXAJe5bAl8m5e0+b4pNc6J8VL29nWElCEnLwgWujWE1gSSijyRpcspHg8V6VABXurpCGOPufaY3VuGHLwwZphoRgkEaRcwL051eEzuWSpC6KpSqVBEEWXRTyb/PkGSGHRiSJRE6Wz5cpWvZOeaBJWBbVAi64xl8qCbELa65SCftLjWxj+KuEjZ81Y+JndMuGtMHQ+Rzx1XjXn5DQdIxn/qVu/9ZgB/5oXzCAFDq6i32i7JBqdMsgdksi398qyTq8lgX/Lw20lgTyb8Zpoxz+3OXFBpuwcBWuACDiIFbSoBsuP8s7TAoEgFJS+w9ZVwYK+AW7q9nwE9Mz7Jlyf00yKJTKJ42ulT34+IifjsA3XmF+p4Uwq/nMNR9qAwMWFXEo7EhBGoGI1dB9s3vbTPA0+P6MY1BlpTjw1hGk5XskiIyhLOHNCyb8oMzYmgikl7qlhIlPtObQSxEuhEpqvYpQuCpUAvAG4LoAuDkLaIKl8S4KwD8oKVs59UQV2Nl2Q/y1jcUqQLDIZ1hNJ4wYnCW3MpgH/gT+5iul172fs++rVbw6WYRJrU9Ks66vNwcx6JKrpLFaAXFbaazC+ZDPWmYiQPCSscsF1PkyKwoGShcVUG7LTPeNYKoQzsvA+KwtUjrgfwzODMdLfOZIlN9XY1l9z3Inwv5ELH8PiROmjf9TmXNg/P5wxOlcWzh1vOuCtqVWXuE48ij5suHzM3PaSz0mAQKxoKvNhdi0pc01IVlQGOA3n+RcUUX829T/OGlCExAs8IEiVJlCFRgjgFeVxKXsvSIWTmIUpTJbL4hBAWSbqEYSk5y7nHJud+8htSZuhybhJlBq9Ew7OflX5XCHyz4db2pje+7Pzxt9+/de+3X4LBTchwaL99NohvnNJjpNKu+1AWGStXalBMsRZbSaSZDMlOjqsywGUpEiZIGYmseKEASh49k0URbwb2DOSOwbNKFSdLVF69UgA7K7517J1qbk2utzOXoGPsAtxenp0YIYj4zNcCHni2hQw0vhSu/3aeQVjqz5I/4MloZrk1WuYTVyRGMRx53H7tkDe/vMfvf6ZFmAT0E0ktcWvlaFlkK+YyRcqUxctfdSkmB6Nl0XRJGcfiGbiVQEuJVLbk9iyBvJIyUWVvWQb1BNAnaBxKBJoDdzJ2ksu5Ujs5kzUikkRRQpAEN3rt0bcbY+5fl8FPnT7LVLv1+k98+kvfP+ovMtty7dOirJWatUXfi/wLbSkqVQ7LZpdULSRdl8FL2WmSAhiqlBabp2+KAvhVoJMyOHkZVoXF02oYT1XB7dopTDB3WrPpp+Vtns4KDuLSFhES8Wd3t0lsgMqjl2UDs6hrzDwbFQ2OKNUoOnCb1F3ojE2NwONdrx7wx58ds2oihkmNYSLwYnIWl9IiY5EnnTl34aQWlRSuSVECuSDRaVuHNH890dbJlkSSSItUhljK1GNT9JgUeVS5xOAZc4uCtCoAL4/xsmot5ckXWryUaVqKjFf7JLqla8JQsNjpIWqj77/q2lffs7Rw7otzG7dVAR5FEaPx+PLxaLAvCfu0Gx7jyKLjdN2WUsuHrIB0sjg4z/teB9iW6gAuGJy8gLYMcFnaq/K0n4E7Py56e2Rr0qgU3EpNNLtJga2VKDwpuTvQVdy7wmSbL2GYMbcusXfghTx+RHL4XA2rPJSU+NKkkqosUYqpadKLkm3GFusIFf5qB/Io9ti3LeKay/p8/YU6kfIZxoKaBC+x6FikSVBpFU6c6nAkqR+iAqIqG1Zbd2TeFWVsKlXSAZuIdBVqWWFvB3RZAngBbplmgJbrdUWJwbOBXr4fa+RHuXCmBPCkZCDHSdqDPJKsdkZM90b7oji8PI7jL65h8OXlFUajEeF4hO+79VosGTOATJfjM7IE9AprkzN6PhovBfAJw6sCaorjTFfKElMXjC6K6nlBXumSMXm27mV5+e8M4OXmP67anhzYebQyZ+4kXS48NS51hCXiz+9usLRURwQaX4I3ORDXMzArfvBSfWIpjzv3TRtFFGk2zEre+Zoejx9pM05qDJRPPXFaPEtnVZIU3NlcYVKfeOYSSKlkQo9nLT3Knahc/xonXbKuBEpZVNZEVcg8yORmDCosLrJZWVACeNH3cP3kjOK+kIGZggCwIlUPsljQNil6j49DxTiG4XBMp7NMFI7yv50D/POf+yxSSRaXVqkFHlHknkKWTONaH2cj3k3FRRFDNc3Als58jVkhqvvCCLM5g+cAmXC3qUpTnwkGV8W+kCsSpasA93XaAMjLlg5MI5za4uWheJMeJ5VNK1e58/xJ+OhdLcbSR0mVRi+rPVkmI5jryk+Ke1j2ppiUweNEEySad75uxB9+fsDTx+pEymMgJX5iUu+RQCZlIrBpeVk59pD6tybWLSozeQFuJ021yaSgQSZZi4mi5bKrgZW5J6XcYSFrAlXJNBTrg9yWbkYub0sDsexKNUa6/J1Se+Zx5FZrTozmyJGjnDpzEVtyF2qAYyfOsnf3tsb73//+vUtLyyjlRrWyoG2WturY3BgwomRIVnpjVJk791+KiTq+sneBKnOvJ1HyItgyk5fbHZTaH5S7NmmdLfKaam81Ae4sfO9lhcnG9QzJS8Syms443SKUF3L4rKYX+qB0Kk/sRHpsNYNwjRelpIdt6QHmoXRTDvxomp5g//YRTx8OSUzA0PjUEpezrVMNroRbrNUFljJVa8iMzILJRRHhTPNhtM1aeDi7QKXNU13EVOadgfPkrrTtciyz/uuZW7SkvzOgV0BezOW5ZMldhbaQJyWpUtXeWcu/NDsyLnqRJwZGUczMhum93/cDP9r4vu///kFrarsD+Nmz51leXn2d8ts/s7jcdyeQnrRWohiJQjhwy3X6WqzD2DZ9mpPJRlUjcy0Y8hC3qLJipmsz5q7sVdFkU5ZkSXkVY0+R+sIduB2Ai6ZAXlmelNlbpXWdfshyz/D//EWLpWENEXhOnpQa+metF8rXdalXUbpV0po5gzuPShxr2g3NT31nj6883mZp7BNKzVBK/LSGsmj5kBntBYCc2y71pGBScJtKCnPmNMja62Wt7ox1/SRVBuo8gawAdbbAgMh+hqu6KjBDAfKJYEDejDRDxQSOqm1GmIgXiLwXubVu4AV6xN5dMz+zcP7g/ePx6C9zBn/2uQMEgc+x4ycZjSOCwM8lQZGznS5kKsoFo7YIWrCWva1l3Wmp2uCxzNxVYFcAXuoW61i8BHBVtB9TJVBrKdGpJNE5wDPNbXKj0tMmB7eX1nIWFfkO3J6K8P2Qj9zt8dzROkgPKSVB1q5CFA+7qF90F3fJbMISm08+RJMyeZRo4tjjun0D3vryLn/4+RpGBwylTyBFHvRRUhBVmLTK5KLM5BOlg/nzVKCsmxVc81Ty3o5KQiIEMm3mr0oAL9ovFytZVFp7TEiVnMEnybAEclsBedkQLyWolRrySwFWxCxePIunNVEUFhKlXvMJAp+a7zkGFGClu2iVLQ2mBMJYB/DMkzJ5QnbtQyw/3PwCRXG7y7JkEtgZ4CsS5RsBPG8oKSYCPRnAreuTnUoRTxXeEq/UHKjQ3I69Pe26Vq10DJ/6aovFTgA1b0KeXFqikOWIVJ/m+m67Uo64SSVKFGtm2orveNWATz4wYqkfECrNMJGpezIFnBAF4NYEVxx7Zx+ZnM2LXpDKpjpcCbTFORQMJKlnSgpQxrF5kn6na1OdNTcquwpLQEeUmDyLCEwCoyRXJr1zebwgI4DC65O3a06LlI3VIP38b+ozp44yPT2z5/HHH/vp555doln3nQfFujbI1kK6yLo7aeNGrbFpB9DylJIN0Em2KksSxDrMTWHMTrJ5BuLKcVmeiKLCJWVtVQa2Ktai1xlzqxJzr2HwrN1E0XJCKxe5PH5C8MLJGoYAIZ33RIsidaDqQRElr0ZxA8rR3YLJS+02slUSSt0K4kSD1Vy1O2Tf1hFLB+vYxHcsnjiZoktenJw1ERWZ4HI1ZH4OThcJCuPTEVvmOizbNsY4gjEluZhkxyYDt0iNzTKLF0tHQjGbifXxPSFTLtXjsgB3ueF+GHm8cGye5uwVP339DS9+8oUXDp/QvheBHWyZbsWvr8kVgsBnNI7zk5MyexLOrSRk6j5MRz7fwDVYZe4C4JnRlaUO5ysLlCVK1ue7LE9KMiUH9wSD5zkplS1d0lqVwV0CebpevadS1k7ZW6XvtY5QKuKzX29xeLEOfiFPyt4TMcHek+0i1pMpk0uE2FIgI6uMT4wiDDWXbQh50+0DHnm+AcYjTpwW95K0yWdSlUoFwDInbeY2lKlzQOQzSH4s02OZzioy29y9T9IZwwG7bBulXi8jSvKkar+Vg3tlYJcd4+tKlYkgVVmylEsAY6M4enSBXZdHr+/1x1t6w+SEPnHR0mpZnjttOHg6pl1TeZf93Ccts/tSRC+x2cKmxRO8BL4Lf3f6v4K93U8yIFQ7m5alicjfFz1BnGFZZnBVBnfan7BYtoO1wNZFg6C8xZs2KchjJ09URL0R8vVDir/8apPhyIeGdgvXiqo0mTQwJ71F681sFf094TIs+8WjWDPV0rztzhGff2DAw4d8bNNjmARphmWWnDapgcvgLkBeTn9yxmc6wJRj80Q6PZ4BPMmjxyJlcVsiHlsio0m5KSj3UslmM3d7JsL3ZYMzn92YAHsxw5icWd01awX7dyXs3x2xdUPEVD1EE8eIOMaMEwY9gxYm/+OFpEiNl2yk5z+3uSF5KXCTP2CxDsCLkV0GfcGIJQ1eArYsSROZhellySBS5bRZV/6WtVDW6SJMWlWB7uVs7TalnIHp+yFRmPD5Bxs8f6oBnoeQKk/bVRljyoLF1ssirHhUyqyd3kNr1vrCsy1zF4ah5updMW94aZ+nTtQZxz6J9BgahZ9QnEtOFBlc1oLcTpwLKhtsBqMEKguTS4FVTo7melyWyafUy9BU9Xd+PyrgvrTjoYy7/DzztI+1TJ79vhBuVmnUDFp6YDWjkSAMJfqh+7+I72suzK/i+4o4tsUqz/lJpHkUohqCLzfvuRRti4kLKKautfo7Y+nKXqwFdsUHXkqTLQBedE7NJUoKbtfjz+ZMrfN9ceylxqVWEYEf8uxJwRcfaDAY+tD0kCLLHCznxKwTxSxda/lupN7hFF3F4lqVoE+5IDlNwAojj1Yr5A13jPnkvSOeOhaA9hkZiZ9pceOK0AuDD0SCY1EhXH+GMiWpAjhaUUgX6dg8m1Xy4Jot9LhbYEzkzZgcoKurRAhj06Lo6sAnNT7L2Fgzw5XAjV0bUCwPjsyrY63Hgw89xQOPHEGQoB99/gJSSMbjkHHkvlghctmQnZAVIKwo551XQ5aTJ0cB4jXRS1EyNkuyJDfO8qm+rL1T41IVLX4nWdt1tyod63J/8KxlcArudPOyLrRpgr9Wsdt0hOdFxDbhM/fXue/ZOtQ0SFfQ7Gdh8jKomdjKb9Z9gNU4Qp57YQqPSmZoZkAfjzxeed2AN71swHMna8SxhxWKodB4SXE+IilYfO1pVJm8+H6LUhlzOzZ379M1T2UV6NKkRqcp2Usm9YmvQ16ZHqf0ecHVa4G+nk1X6X9YuqasZbavLJ4/j5BOx+ulFQvCCRqV9aiwVTBCYRCuL0XEpT+dAHP5swqoS/sya4uctdcL05c2ZUtMblP2TreMuTMmV2VgJ7nnxHlM3F6pCN+LePKE5KN3twBXtieEwhNZkYXNk6smPUCZLHP/FyXuzubiqkclzwmxIq2+MZhEuK5hVpTWiddYq3nXq4d86cERjx51nQQioxgkIs+hl4I0hC/y+QJR+v48cmgdi5eBnm4qBb2Rzv0qM8+ZKVb2kLZkYGbHpvxs7ZqZuszm7v7YEmDWI9ACUeWPJoNIUoBUlpm2R62mMMaipxruh1EEUViVDkVDmW/oDFgX2WLyuCJLyrpbTHyfY2pR0XmFAVMGd7YvluPIWLxY3SFjcZ2u8pCzdmmvM/2tMv0d43kxURJzz8N1njlSB88DqUuFDRPBqPWm58ozq/KnLR3kBRDlyGJlRWFXo+pSaTXj0OPafSNeeZtj8WHiWHwsfEYGdCIKwy/J3IXWtZSiCnInA6qrRWcMbpVFpv5xa02qy90sLq3IWTwHuKzeD7PmWVcjmoVdIv56GLPpzEF5yRToD12XMGstOk4cqIwp9Gw5oFK2gtcdZuucWK46y4w9MV3BBLBlWaqU5UnJFVVasSxfg6ekuwuwFyDPmDvrF65zUBcdaJUuATyVKL6OOHxe8MHPtxhHHjS8VJ6Ql6apSuSwJMcqeoz1n5ytAr0sUzL316W1uKYZSH7oDQM+c1+TQ2fd4EuMYpAol2WYpMGfFAkiSV12OQ9mc0rBiZmxKUvSSaUaXVqbMne62XRLZZC0IpUq1US5atBrogvWegbnGnit1QyTcpd8lirsM99zee7qd//zb2xu1PT/ferUqau8tPol8ysXzCnTDLW1m5z4vMy+ua9aCJc7XPaGZKF1KfO9lCLth7fWK5JtWcuEso+7iFaalLEz33cZ3IX+9irJVOnqDzrKixk8HZLIkD/8dIM//uI0BAGoGkppGsr1XPGVzTMTvazIOS2NKyKpayOsRVrvpMSi1MS/sCOEBKnK5WLuWFjDzi0hZxcljz3jEwsJQmGEQgiXSrvGQ1WSCBNUtC66bGYH5zNNtlW1O5NJUqQxJEr/tuSvrkqz6uf592R17JWytaIgudwprRzSd50KLNt237Jl9xWv+LKeP3922sTDN9a8BK31GgMwn07KM5tYh8/XuH1KlnN6sNZrsnbZujXJVRPH+SoEeQ5Gpr9TTVw6roI7W87ETkiSuNDeqefE0xEvnJN8+CsNkBqkY++8cr9cTVSeYWACUFSYHSFKsmRC95riIZWLELR1LdiSrMFpokhUqsUTzXe/ZsAn7mlw4IwHMsQKydh4DFN5kvvlkxSKScmDUsrgcwxuS3IJFAIrbSpRSPc2D7Q4DW6RxhGbKetw4a4jf66le7GuTBHrwouJ8bgO5gqsxgbCRNHpR7Qu9t84is5M6ziOECTUawqlsjV31n7RmmmiDHKx9t9UQ/Jl46IE9HLkMtuX/MmqAnA7ob1L4C4l5usywMvgTg1LlboGlTIoXUQrVdrRSauYRMV8+v4mBw4X2lsK6XzfeQXNxPmWpuJK+m+hMgtmrBxXC5DX84lnle8mkSQyC+E7qXL15WPe8rI+Rz8cECYKhCZJNENcA53cfYfTqlFu/FZBXpxXCvpU1yrl9LgikyoZiG0R4hcuw1RmwF8jUUSqx6uD/puCe/K47BqcAH72Y2thPBYMhjF+EKKzFsG1QCKEIklspTJnnQFUGklrQV7Wn7LE3FBELAViTTFDZZ8V7qYRszLQCwYvkvBzcJcZPNtkscpaDuZsiRNp0NIB220Jnhdx7LziP3+8zUh6KYNXjUtXRWTXeglE+UbwDV/5lJ6HyR2Vm4npuFKDaApwJ0YTJx5BEvOP3t7nL+5pcPScBhVhjSYUjsVVkg24Qo8XJ1gGefqZdRJEWcfeLi3DsbaU7nNjXWDFWpOH92UKdCGc10Vai6m4fyfIrQTMSUbPb986t/LSPvM0RmvcQrphBFEMuubjVi7w3BQohMkT4S/5ugTAy94SKiO2kCt5zgZrgV1hxRJrO6OyKk1kWm1SlihVD0oK4NSgzECt1ITXRGXtyWK0DumGht//ZJuzFwNQOnUNyrzBUNnvnR9PstI6RtUlgV5ingzoVS9KFsKX+ZYXQ0hFEmu2bxzz7rf2+JUP+nQiZxBYKxkb5dyGichBXjY2y7SY+cFtpqGta91RHoAq9a5kRqiUTrYIa7GZRBElsKfP02V5uMG11pVaxcMkiNfIlUvczCzDNTEQRoZxZBhHCXowgpFLnXXTESIN6Fy6Ir78TZUpprIXEw977bY255sSs9t15ElWVVKWJcWirw7gpgB4euzkSIm1s1USUtZWmfYOIj70mYD3/nmbsfGcPBEqlyd5UfF6CVZMGnNi8q6tyzoF+5QimhSGk+thYjHGrA3hG7cUeE3H/MQ7+rxw0ucDn3ZaHBSJkIxM6k1JsvOyJa9Ddm5V0ZQ1SrVQ0eDWOmZWsnSuZfbO5Ur6XNMMVCncABDC9bTMUmurLC7WsPcaFi9PQJPsnSVcJW62CXy37KOeaVts7FbsDROXDeasZJFVm61B+BrDsqw11xmV67Pb+sAWaYRwrTxZD9x2wtA0Oci1KtbtccB2bch0SXdnhqXze0csr8BffKXByjgDtwO4J8FPO2tV5UnZEBZVY4rqfaowtq2CO9tXsvqy1Z9NOZU2yxN3WlwZhTGaONFM+Qlvf+2AT9zfYKmnQEZgFBGasRB5nsrkYCxQVHIXps8/Z3DpotsWW7C5LAalkWlxegnoWU2BEDbHUZanYm3Zw5MZifYbYukbsnjJG2ONZRQmdHoJ2jfoIBjheWMXOTPZHyxG+BrNs94JrMPi6wG6qsfWArsAfMHeOWOW1nDMgC3lWmmSSxFpU3bOZImhvEiVqhiWEV4j5jNfrfHwM3VMSXsrKUuJVdV8k0sCprSJSz2UEnsWbrhCokwWQ5Qb3iRWokp+8Tjx0CbmJdeFvPnFA/7osz6oEITECsHIaJfeQDoAKSKca84FqsamTQ1MColSZvMsmmllSvwlJs+BnqUMVPBQqjqqeNzcPyyf3qWAv97dzGpGYxsRJmP0s0csy8uWcxcTploWqUT+i+v9sQqY12Fs1gH1Gg+DoJKvUAZ2ocFtpc9f2UdcYfGSYTkJbl3KM8kWb3ISJZUn0m2BF3H0lOSDn2lxoee79a6laxetBK5qJp1q10+omjCiLsHek69KoKfE7JML5pq0A601ppQvnoI8kSjplj/Z3Ez44Tf3uf+ZgKPzEkQEKAySkZATOUYOwEKsBXl2cjaVI/lMI1OdLktZkCmS8/wV3POrAF1mi/eKtBB5siCiyBnPQu9rAG3dwMxcrRUBmIJNSvCEYPtGxTV7BXNzAq1lgBJeyZIXlZTPbwjqCeaWE2BfF+D5+pYlJpeFLBFZy7YJ7Z2vQ6+qINfSpJ/ZNeAuDMpi/Uy3T9DSSRPfjxgnht/9SJv7Hq+72japnfaWMq3aKen/fKaxaw3MCSafnFrLD2VtBLPIMsz0bbmlW9HDRDo9ni36ZRRJYoilRsWaV94c8uPv6vLzv+szjqWLQBlJnHpVsmhjAaz1mZzS/y0uN5yMqbMsyPQ4C91ba7PiL2yKoQzoQghnjGbYsqX7BAWbT5BkhWTTv8HE50WRtQM5SOIoIIoC9OyUxESKek25aGU5r5n1gT4J7gqLT4I7P7ZVSVL+XJaidqIsUcosXjB2YXCaCnuvBbdJP890d5wep8aljPH8mLsf9fjEfQ3GoQd17bS3VDl7F8vorZN/UmZuUb0/Irv567G4LWCVATtjzUrylSwVQ5SWO1EZi5eAHseaeiPm7a8cctd9Q770qAIVuZtuJJFw/vHco2Inq30KkGeSROTsXehym+ryrODFyROb56kI6QZFIU8ytna/X6n4WVMMMSFVcpwV5ziJt8yj41qaCAaxYKUHVgt0b5AwGJm0mU+2uGjVnVcZRZNfsM4XZsdywkdc1d+2yuCXlCimBGi7BuwFuFNQ68IlWEgTk/u/neZ24Pa9iNW+5TP3Nzh0vuakiXApsSIP7FBaELUK8ooniOLBVI23b/zK+vFRygkvS5XMq1EU3rq2D6aURiuFQiYGKTXRWLN/S8SbX97n4QM+nVA6gOP0eIhyUoVJLV6VJyktA2nhecrl1orUwMx+zVZAbnI2d+8nAz62BO6ixUSJzW3K1JlUmcBXdn5l4AuRxm2EIEmfSaMmaDdAe55rQul5RVdWKdeCtTyBTcqV9bX3WikiUuYoPCflnoNF4MRVcNt1vSeyYmS6SKXMwF0GuirkSHmfgdvTMYaE//LZOu/9eAsrtPN7p54Tx95Onkx6eyaDOxXmzm565Yatz97l3OaqL7wsU8qlbJnLMJUpaeW9kSZldbdEoFSGn3jbgCPnPN77CU0UpzkGRmIQjIR0tZP5t+fIqjB5VpSRnZ/KAE0axs88iim7Zxiw0iVmOXniXITVpLQClLl8Kf/M2lzaOFmSns3EvSxrdqf3TRrOcoGeMBLoeiAYB251X99by9yTrL0G5OuAelJ/V9g6nx0KQGffWTR1L1qEqQkjU06ytszcg6ZwE5ZWQdYZuMsRSxnh+RFHLkg+cU+Tft+DuirYu+w5KZellaTJ2ky56mDnrxDkyRi8UvSQg71YSNfIdJ9OwZWqn0yXS6fFpXQ9DVvNhLfdOeDzX6tz5HwaIcOxeWIEI1yLTldqVmJyW4BcpU9blfrx5QUvqbGZKqtCiwuRL7uevbdZF4a8SsumNptIAZ4Zlmmab06YbmbL31dU1Fo9brBpDo+hP0wIhglaSg+ldLoQE0W5WoldJm2QCrDJTnYtm8tJFi/LkHI+R9lwS3+nLEeynxXN2O064C4HekpuQFkGf4KULsFqHBnueqjJV56oQ6BSw1KvYe9CmlS9KIJMlqxNAb0UcX+z13oVPkUVeVmmiAqLJ0YijSQREpkopFBEY8Vrbwx57UuGnP6cx9i4bEOMEyex0Iysi3tUHrjEJXJXEj9KhmcmV0QG6hTQE2xuRKbBs+ed+b9TXS6LnwkKoNuSzCuWcccFH7Mbm1F/9r2l8xfCZar5vkejEaB37Ni56snw851Z/Q+SxFVbZ6H68jSa/41JI3Ndo7I0hZcMxzKjVyRKZTmObOWwtZpbqizRaT1wT8iSknFZ5Jo4n7f0Y+591Oc9fzBFYjVoL80Y1Agp8USRVFUYlza/jvKAFRODew3QvwHSK5HMksVp03yPIvBThO+tTD0rogpyYyRGKBJjkEYTx259oZ/9kS6HzmjufURi/ILFrXF6vGIMl4Felisp6C02NzJzHZ4CzabBJHc9jqgQaXFE6m2R6fdYLG4hiFS6UJZ8qVzJtXh2DwuwWyhaLabfl6fdGoOUEu01Pr9t245V9dbXburb+MLRmm9/PDExMv+joiIzKiCeMETzkHoZqHnmX+H2Wy/VtZIDXZEh5O6/StRyMgSfyZXUkJQloJeDO+VayzPLgvd8cIr7n2i6RXmknwNcS0Fdki4oVVpJ4ZJbmjOfN8mpbjLLdVfl95kky/JssvtZFPCq0v3MqmWK47RNWsXlmjWmz8jEIqxlw1xMoC0PP+2zOpw0Gpwmd9Kg5L3Ix6eggvnJeWnCH41YW56QwnJNWlf1X05+T/pvyoO+/JnNDF5nnyTW5YAniWU4NsTG5+iJhR++/6FnDulmPUpbfyUMh24Y2NQyFaboKDR5bWW2noxeTkqTcoP0SQ0uKyw+wdglPV6RJhPrxmRsLUuaW5d0t5aFezDxEz74ySn+8qtNbC3T3U6e5Oxd0d5r9XdxbdUc95Jum7hZ1Y/sxA+z3M1KYUGJvW06oxqZsZRI3YfryZZCqiRCI4cJb3/VkOePefzq+zRhEJdcFgJjPcamYhbn00oOqpL4tbjehWmLQ1IPYsroafP7dNqy6X0ia8AqSyWQWdi+hBcESKq63OY+dPL7lN/D9BxdJzBLnEAUWeLIrZANFr3U8dxINhGIGKWKqdE1/HE6y5ZHqyimlezhFUZXlVWqkqQc6Cl3J7WUI5Z5/+mKsWkmdHhZpiS5XMk8KqpkXMo85yThS48E/MHnmoyStAu+zDanvbPV3HLtXUrrXWNTrLdBVaqsy1gTYLdVj0W5AibLD3e9IkVVpmRAz/JUhEUmqVQRBpHKlcAz/Mib+jz4lM+XnnDuwkyqgCBBM7LZCnc2Q1raYiJ9uKaidN0zyS5JUiyXKgsvitPgBdDzQFBeDllo8uyemjW6nFy7r7l3pRwUk4IcoF0XBIGTb9oB1a15aJWrY8sKEZIs2pRnnhXPSabHk8BeF9wVr8k6rP3NAJ4vflR4T2QG7rIhWXIJSulW55XSuQWVjhiM4ZfeP8WxswFWVw1LIQReZlxOpMWWixrkNwS1ze5MgefKkxFrHlA+/U6COn+AjuHdSnbVdsc5yIV0q6fJUoRTKreqsdHI0HDZ9oh/9aMdHvwXAb1RhiZJJlUSqRiZbCYqgTzrsJMamlkCVh7GNTZ3m2eMngWCbCq7Ms+QzP6yKbkO8/tWBXWOJ3uJQFl2/ygFxwzEicsoVInBGoO+5goPpST9QcSZMyFhVF/zh0T+v+JaRQnY60Um1wP0pCwRWRBH2JKuTN8rmxqcNgdzlclNyZgsRStlwdw6BbfWEXECv/WxFk8crDmfdxqOR7oVlCfZOzcuM+PoUizNOoAXhZKtKpZ1tF7O4FU2t2lU0z3AcnOgdQoi0maU0kiMMCRCIoxEirTETWikMdx0VcRPfVeH3/zINGGSsXiBzNgoRvl5T6TTlr0rouQXl25dn8ytZEvSJfO0yFSKIJ3zQ7gQaDpORH4Keftlit/LzkOWvBsl87eKUwG9kSX221jVJiFBT21/G0GtyeDEM8wvfRGkqvZ9m/gD2Yy1lrXLkcm1GYJlcIuyPMnC9GI95rYVnV3R4iXmLssSKQsXocyyBWsJX36oxgc+1qIz9MDPtLfntHeJvdcssFpOH5gEcdleS29QAV+xviixld26RtlkpY8pyZScuWUp8CNd+VhiLEJKV01jJIlQSGlcvkqsaNcMP/aOAY89F3DX1xU04hS0mQAWxEYySgFVeFUycBVp1ErYYmFr6XS6SrGRAT1Dok3bu5GVs6U/c/sidRbhPGsuC9H9fvbVJo26ZglcZfLNmsR6CNpNy3e97TZuvel6ur0eujtokdBkYaXN+cUaG2YLtliPySeZm4mHn2vsCdYukqhK6ytWgJ6+z6KUwqxrYGYBHCVMwd4V16DJGdxJk5iDJzT/+aMtjix6rgxeFNIkzxissPfagM66GYQ5NKpBnckZb81NLEuTEqgr/Qrzz4vFBor02cLALAeDpEkLlIVFCImRLqXWEZFGRpZ9szH/6J09TlzQHD4rsLoEcAEWj9hKhjZj7NIwzPzhGZuLwjCz6c9sCu4c6IBM17uxwoX0i4xGqkamzNpzO0Bny2ilfyofbPn9rdh/7m9vrUl2zmk2T3s0lI9u1ARBIJhuWzbNusy8cegs9Qy8a0LzlVD1BEuv4yER6wF5AuBiQnMXwR5T2pu0hUIV3LISjo+RMkbKCD+IuNAR/NL72nzi7gbWKzwmDtwKIUg9J1Silqo8WEsPZLJyvhwLoPxZGeQTYLeTbyYkSlmPG7J8bNKe7CLPW5nsRmuES8QSwmJl5hsvGZ2JwZOGt79qSGcs+ZnfkMyvCghSpGUdhI1HhHNZVkBe8ofbFNRWWlS2FJDJgjHZ76ZsmwE5976kQC/dGglpe25RvMeyxjtfKBWyaCjpvw1juNgzrPYM48gyCi3S9wW1ILjQrMdf3LzZJ4pDRqEkilP3SyaoyqNmHXCvDa+XJIeqgnVSgsgsKWqNd6QK7vLvyDK4S+8z9vZ0TIjh0w/U+fIjjSLXJPWYOKA7t2Agq+x9KQZfX28X90akSK+YlRXBKKronowWl12ElNeJLJg8X3LElNjblBKxTKbJS+m0Rrk16tOMQ2Elr3vxkLe8dIgvEohjsDGYdLMx1lpCAyMLYyuIjCA2pJtr0u/8z26JvzhdqS3JVl9IMved+z239EjW9tjmv1vk2hQr+BVFHuTF2EUqQ3EDs1Z+nhbUAgkioT7VYhzbLwZecMFagfq1X/+P7L7m+tWzS8nq88fC7ztybInA8xHpUiaT7RzWLj5UMhJLwYlKvWRFW5eCO+VAzsQAcJHLkp9bleSJrLoGJ1NgtY5IpOGT99X5d++d4vj5IC1iSJe3UGkrCOkWVQ0k+Nk697LYZ2tQqvyaiqUMy8dy4vO86ZEoNemX1TZ0Iv03eRAnS3IrBXXKgbScTNbYAqVkNSZnV6D0PvM/Y2C2nXD15RGnLyoOn9KOyCpGhTvOlpPNDed8AK/tmruuRpuUamLyuCqo83dCVP9kKaqZdz1L762nJc26ZvfWMW+4czNXXhb8b8tLzz30ohtf59bouTAv8X3J+XlJpyPYNAt+ZkBUvmTtlq+RKFlHU7OOJCnJmBL4qyvolphbOKDLskGZgluW/Ny55pYxnpdwfFHygY83OXQ0gGZZmsjcLahJQ/JZRFEUg3jNtZaS0MrMLcoP/FK6+6/wyvR2liNRDt9n0qToX2jXsroRJEIgbGpkpp8JKdOwv0TYlNGFIR4brros5kfe1uORZ3xOLJTAnRqEAFYqwkymSJGugmLTrguiyC5M/03+XjgPi00NSZenQm44ivzYur9LqtVlIVcyge2cLllTogkjMyUNT0umWx4b2x4zdUmkXaqYBnjDK6+hVqvz3CZ4/NHzeJo8nFxMvyV5QjXKuC641wRxSiAv11mKrCVZYUwWn5kS4CfBbSrgljJBCheOX+4J/uMft7nnibTlcaq386COkEhBXilfdGQtFTmXpcmlDMwyyIWDqVtheB22ugSoMzAXOrykcSd947nB6foClg3PHNipFhdCYoRFGuO0uUj73qRxj0QYGBheddOYf/IDXX7x/dOsDMseFXLntkHmILe5K82NPFsOAokM6IUr0eYgtTm4rUzBnHtc0h7ipQEgZVmuUaTmTtgo1loSYxiHMfPLPv3kCrz2dSSjUX6a7N61lZtvvPquprf6nn276rQabu32rBFn4TFYL0q5FtxZ5bmakByqpM8rhmI5O7D0uS4d5xq7xNxqgrmVihlJy+9+vMn7PtaiF+kJr0lWzODaDHu5tCgFdso56qK45rK1viY/hyrg8yShvyJzU87VKAE+HTKQM/XE2qS5gUlVixtJuWmQtUWrCWuLxkFJomlp+PF39PiJt3eplzR4ockjsAnGWsYGxhZCI4gMRNZp8diKtRo8iy7a6meJLf2eLetwW+oBU95sadHh7J7YErghii3dfsxSR/LMwYX3bNq6/65We0sB8J07tnPPZ39xsKl94fiOzZZmYNzaNlnwJZ8K1tF9ci24c8kh7bqbUpc2MKuMXWo4qTJjspQpKMpgj8EzPH/U50/vatCtgDvze7tsOpWzt13L3hOsXXEPwhqZUpWRl4L0N4Z6hckrQBe5JyU3OnOgT+aFQ7GCcRrSz/oZVnqpFNX4xmjiSNNSlu993YCrrxgjk6RibLrjBKzBpiAfpSCPU5DnhmcO+GyZvyqYi+VZMoNyYrNO+pTX4MmAnO3zzyiM0jg2DEcJS1147PmLx3/sn/ziYG7j1gLgAPuufSv7b3wH7dn9JCZJgy/lKdiWWNxWq3EuAW71jTZVDuCUB0NqUKoCzFm5mRSFUSllkoNbyhjlGZ476vFT75nhmcMB1lO5n9tFK92WSRNf2DXArhRsZLw6yd5lpmadjEv4hjbWWvYuH5RD9aLy80nWztd0T3VAdeWxrIl+UcNpS7WbruzNgTyxiiRUXH95xG//zCrX7hu5NVDsJMjjFOQ474qBccbkJU9KbAtgx1bkQDdl1rai6mEpgTqZKN3L12SdkGuZ1yn7d3GS8OKb9/NPfuKd/PgP/4P8fuYA94IN6GAj2q/ha5NroEkimkyPFblrsATuyYKFsksw24SZkDBVOZIbmipxQR+xFthKxkgRob2EnhX8zieaPPl8QKLKrsBCmpDmLHuZ9pbVhZvKfu512bvM3KIK9IwIKtqk+kvrInyybI0sOL1Gfxe/U17fPm8QtKafYdFuImfw9DjvVpsB3mhEIrnp6jH/89v6tGTskjpsxt5lkCdYC5Et5EqcgjxzIyZWVKSIsVU2z9e6tJcAeeYqLH2W2SWFdLP5nU8shJGl2aizY+sc27bM5rdYZwf1miII/COzM97RZsvft7RssCgHzFICTJZrnBuLIsXSGiNx0kuSGZklthbFgMiZO/+scA3m4C4blNIFdDw/YZDABz7R5KNfbjLO/Nw5sAvvSVGpU7ITJsAsy2wuJwAt1zL1WrBnPxN/JQ2eg7sc3SwZVsa6sHl+XDE4S2tdZklyFaBLpEkTtaRrySfS3obOfahceF9YRGLwheWdrxlw4KTmAx9v0Y9SNsgCOZb82KAIDWnrCIFNDU6bG5wClRYtW+OWN8w8LHk4QAh3QenfzPJY8rsi09B8CvLMa5euWZG7Cq011Jt1hPaPKu0fQYT5vVXZwa+859fZf8vLjy70gk0Hj6zeubraw/d0XqywbtK/KrcvLsBd9m9LVQ30yApjl+RKGdy53zspSZYC3CrN79Y6oR/B+z/d5N+/b5r5Zd/1AUlzTMqpsEIIfAk16RZv9VJJpUvSSpf80cVKF+VCbFFt6VzybbubL4vPZbb6QeEPz/dlX3duz1Bt2SGy99Xe6e5zW7KJ7FqZVJmN1usoRbHyA+XBaZluJdxybUR3IHnuqCKMy87pidkJ5yfPysyyz8WaX84ORUW+2YnfmZR2OVHk11f0k88WGfA9yXTL8srbNvLyl2z7re7K4d+/Yv/taxkcYHm1hhfUPtvr67eqxLsxji2+V3yxyAMRVYbOc0WyLMCcuSfZeh1/d9klKFyiemZMFoGdpCRbSvIkMPzlVxr88vvaXFjRzi1SNirzY+c1qTTQvCRzr2NUlrwnlUCHmHggE1gof569qYTk16Hy6s+KYogy02cV6+V1fYq2bwWLm5SxhQVhbXrsClkSYSEN6yfGJQMIYYlC2DoT83/+WIelruBDn2lBreTCg+JYaiySKDufjMFFumJyemzT48w3LvNj8tC9u9z0arPZwuJK27JnYFxLZlXyMikB7VaNmXbtyX07G5/tD8aVW6rKbz73iQ/yhlfuPzXdtLd5MrpZK4OvBTpfLTjbipXMygW/coLNy+xe0doTofuyz7uaNFXS5CIFdRatrCUcOefxKx+Y4okDtaJwWE5IE6mQ0qVb+Cl763wrl9OVIpVZTkopACSy8jRRZW+RRi9FxtCCClsLWWXwnIXK8qfM2KU6z3KBc2WgVdKRJzsZVN/nCXEpgHIWz9mx2nhHCMBYpqYM9Zrlwac9lldkipRMi5VGsshdD0VWd8k7kSVL2TXTwDoCrsT+ZWO9nMxWLJHjnodL0lL0R8Fn7n/43G+95g0/WvmTevI7rtm/AyEFp04cod+Pcq1a1FReui+gmtTfFc1dZW4xob9z16AwFbZ2AZyklHcSof2Eo2c9/q//PM3dj9WglnlKJtlb5slUeVAnC8FX9HfJyJwIhRfGp1gLhJL2vsQj+694ORgUSVZp43kKj0rVZVZEOE3O0JnOpmDxNB02EQJhpGvhYGRxLRnDZ6sUm/QbRzGvuWXML/zUKv/6t6c5dt4Hj0KPV/aOyeP0PI0BX4i86h6ZFiunWj1jb2XSZC1SJifV7usU9ZHOoIm1+TUbYxlHBj/WNKe3YcvLk1wK4DfdeidS6bDX6zLod3PN6BiaXDMXhb9pf8BKACeNcOYV8IZyvncF2JWoZZIPiPXBHaM9w4mLHv/md6b46F0NQqFdP8EKuFVOi7k0KVXpqBJ4L9nrZII5q4lmoqQRJ3/+Vzcu17wmErHWRDMpfyYmAJ8aeqLIIXfrVab93o3Ty9liYcYKhBGur/LR1wAALoVJREFUKCIDUZ636FYcDHTMu75tSGIE//q3pjl5UUyA3JZArrBWEaeSBLIcdle+ZoQz7rOwvMqjnanxKbLGQimkc8s7Q3m6ipoo/OaJcUS1besWvv1N3xYmcfLNAd5sz9FotP7Fho17rpk/f+5V2AHZ8nxamny14LxdcSXrzxZgrjD2Wo9JtheZtyQtm5NlDT4Jbp1w8qLiZ/+fKT72pQahTJdeq3hMSlU6ktK6OmvTYcsZkeJS4E7JteIBLIO9xL/Fw/ivzEspA3gS2Fnovuw9KYXyDYWnoew+dH1IqLgOMy+KyNpkY0mya7GuCt8YlcY6FHFi8LB87+uHaAU/95+mObngOySWUmRzsAsARWIEY+F+5HqkuICaEQIvTfOwIltvM22oL0iXRiHPZZm0QSCdaZJUURjL9EyT/Vde9tU9u3b8i16vv+bWyskPms02j3z97m6tVj/k+16iFCidMrW2xUoJpc6tWpb7kmStGsrNL6uZgC6CWfKQpOBeN4iTaW+dcG5Z8n/+9iS4M0CXt0KaeGkqbN5fkEsblsWCTZPG5voBnQz5k3Llv5a07XofThzn/m8o+byrDF9ENMurtVWLI5w/PHu/NspZTbHVxIlCJ/DObxvy736qw9bZCJJ1AkE2KUL81i2DE1oXEAqNILIuwllNu3UR0Cjzn2c/Syj2iSBK3fJJYtM9eTquUjqp1+uHvvDFL3Xb7dY3Z/DsNR73fqrZqN02Gqze5CmD7xn8dF3JDOBygr0LeWHyAFAhTUqeEmFzQGd+bpFW6UhpEJmXRBqUcIZlouH3P9nio19oErpRN+EpKW2kuSaCytLWeafaCUB/s2BONe+76k0RZfcXa1n9G2H+Eo6UqhShYOfsg8nkqzVSJQW7SJcEL7S5SD0TkrzxphWl9xZj06Y7xvWSzUxHTcK73jDg0HHNez7QJial2SwjMLtgWfb6iJIud40xE2HRqXQ0aYxFWSdhjLTuWKY5KNL9eVOetTIvuLBoLajVGk93Or2fmppqrXuP5Xof3nbHa5BEybade20tEAS+IfASAi/G92J8L8Hzknwx1WLNyYK91690X5sRmGlvlbN6Bm6XHSi1QWj44v11PvzFBuM8QjkBalm4BJWk1J2qbFCWAT2ZEnspf3Kht2V5EFCAfo1MEZcG8Dei7iIEXXb9TWQbrgF2WcpMNs4vUmmzZCybHVfYW1QYPDESmxVJ2HQzEj+xfM/rB3zbS4eIJEmjnOlmYrCR+8wUTG6NJTa4RK00vB8a0k0Q2ZTdDUSJcJ8l7jhK2TtKIEwEYSwYxzCOLGHkjOXLL7/MDkZh8sY3vG7d23xJBr/2hjuIo9GHo97B/SY81wz8pLJimZJlH3emu9PjchFx9p7J3y0zd+Iq7MseFJEgvQT5/7b35WFyVXXa7zl3q7337nRnJZ10ICsQDAETBdlEVpVF/NTxwRUVQQXHfdBRFPyQxVE+nEccl3FElmEEcQAVkEBYQiAJZE8gayfpJL3Xduue8/1xlnvureqkExICzpznqa6qW7eqq+59z+++5/1tNvDgoiS+/OM6rHrVk3KgCWwj5kRKcI6UBFUobC2nSmQbQuoyUpRgJFw4xs1DemJa8lEuNs34CoxAWSI8nEAkc5kTIKqsEE5AZPqX0s3VAlO9DnMByqlWYpTHkJkRTfKbWeCYObmMH13dj2sp8NBTKdFmzZL76BBY/UXkFZWCgcKHWLwGELH4NuOwISuCQRogLryeFhX1ySkhsJjg2wEVlKViCXf+2I6m4ZPnz7srlUqMeHjpSC80NHXw4b5lt02cNGlPLpNHOlVG0ivDc314rg/HqcjW12Lxp7oFq9INtkop0/UDQyse1i0xLDthIfcmgnNTG/jDk0l85V9yWPWaJ/zsccutaQkVYbA0Tk2i1ttSC0tgRCoS8u9q7h1irkaGi9qBh/uYFj1uwM17/WG1Aq9MCw6zl2bIvaPlJMLoQ23FdW3xWNkJ3UWZROJVWCRWRVl0G6xs4ZiJFdxw5QDOXZiHJsXc5OGGZdfxLAE4E+GtKliryAgKjKAYEJQYkdadoBQQlCoUxYp4XAwIihWKgk+QLwNDJaB3mKOzq2vP44tX3jZxwtgRL5YjWnAAaG0/GoHfB1p8DBV/GMo9EPJoVTQIepvyiBHKRYHz2L4RK04CraQo1UQAX9CSPyxK4ms/yeGVjQkBbh1nYsqB6hbybpOaKCttRgxGFpaozuAxVRWFPYJqwCsnhOn3qFps7gPc8Y2qRF68+I9Zbda01iZlYVLHjjynQhtXVltNBpVeQxgAKji60sbF1KD6WxIilBUQhHy7DMyc5OP6zw6Ac+CPi1LiN1jSZqr9CJPnhsvegsIQcS74OJNGQp0f1UPIkpIhJRDWm8BI9ibwGUcul8OM6V1obcrtC8L7BriTHFcivPfT9U2tdxf6X05XAlefMQXsENRKkDe8ZeoGrmkLIYYkSEKaEgJcgPuhp5P46o9zWKksdy1g60Aq1YAoXrwHVUAPQT3CghK1H2tp0MBtnKZEQH2gMmEM/Nplrxwmsm53NKOFhGWMayw6mXT6EPWYiUkq1BOmKYqSEJkCvnKTcwjHDxX3QlKUbqcyMGuSjxuuHADjwJ+eTsYWmUpXNx5zDh3vAfE9hDxIEMAwKBrQgrpYxnMRORhgxuyO4Qqhn542eUxpH0d23wCnbBfz0lOft6xzBlhxRZr6PnRhTiiLDQ1qBXR9nvV+4WQghIGAGZZbSoQkALEYuEXw388kcO2tipYYPJvWoicC3KpgvVmZilLEogWjqklVvUGY1nsEaVC+NoKnWbupw4kwMhevAnON5zq6UFv42l5NBRTCIZUQUgV07fwB1/UNVdNa4fGk8jsLpYIZQSEqFY8w5QwiQBmYPsnHD68aAOcEjy5OIACixJczcd4UuEGh2yCrylogYTqaPFrKZRO2GJQI44BnEXzuAwsH3jZr4vObd/buqyf3fgDujgWIt5sFr1xkpRc87vc95rg21a52dRZ0nIF57SXqQMkJoK15FNiUMlAEonGRRfDXJR6++KMc1mx2Y5a7Fu8WIDQlQRVMFacktcC9Lw4eAjZGTxBbfBrPjZ+u3x/fVgVyRUuAKN8mqutdGEIa4eQmlTHc9dVezlpWXTmHlEdTZPoS1XteW3EupUYATMTpBBpOEoIljukTfNz8hX58rgI8vsQAuQK1lhIpou3XJNhRw2BwQFVGAQCuhIQKx/vOneuX/OCijpb63U251L4gvG+AE5pAcXAdiDdjm50qb3QLL0xL2Ltg2wKcgOihXgmortNR9U2JAXIYFIUaNMUS3XIffc7D1TfVYe2m/YFbxpnQMIFhJGoST0OLWusRrLexYNT0wwC9+RNJjZ9c40jub4cRh7byVa56Qx409HElXijerdURKT8SY0Kosm1qAjOprsgIdBBQo868rBEoNWpTXSHlCrom+PiXa/px1Y+AvzybQMB5RBOHGUyuSv5wFh4a84eqHxOw8DmxAG6hqbUFp590zMa3Hzt529KVmzF3xsSDB7g4Nxb40IObEk7TJ0rezL89v/JP2DPogRCKTCLAjClltOYIggrVq/ToCQ0XKzrdTXJwQjgslyMgBH95LoGrb8ph7RYXfF9qiU5DCyVBBW6KKN8OLbXRolCCMqxZPgIHjwB+BG4e6id6cXlAUObRQyWPVIR6QHPtsGSE5uWQiQ7WCNq4obJEEgfkBOZQEiEDUWCnajFKjRkF4fgh6p7roCoCWRquxNA13sctX+zH528C/vpsAizgInZFAZbKlSqnNVUj/YQxkCBAW87HMVNLyCYCEEKwbaeFWce+Db1DlU/85K5Fmy579/H7PcT7BXgiMxmcDQAk2/3yKvfJf/zX1xY+s6ICWBxNmQLOnz+Ij50/hPkzfdCK0Dt12oY5T0yFRakoDrB5r43FL7m47o4s1m5ywV2laccAHXkMTU2iNQWjlbYi/BvVtMQMR41w71pg1uA15EDTsiPcRsgBwTzM6FH3MdDr16u8mJIi6gkQ1cKZzFgmmuNyLTMSWaZNeTZ14ViJXEJk0rKchYRS0eqdhgtPHYLCpDLlMxw90cdtX+zHP/2M4dkXPWzeA8CVX54p/idTd6rsIAc4Aw0YTpxdwMfOH8L588qoT1NwBqzb0QhSN/HJyV0Lugv5YTTWZbC/Ye13DwDf/vb3MWnO2XsraBjsH/IuWbVxF+AmMFykWL7CQnc/x/mnFpFwGQgPZUBTQTFpCSEA9YC122xc/7Msbv1dBpt3OjJROAZuMwyWqhBYAkfGeDs05N06z9KsSmUuNmnorjf7gUbvw5hvHautMnaokb1jxoRTEk4OIrqXhbHbRgw4UdF8tdcAZtUCc7LVWjdQYzJFr0CxNtl6AqorqaJVXBsKRT/CtYcxaxVFJuLKoe7DyayEBnkVC4DmxgDvnFvGmPYAq9fb2NtLobMUzIxhNaM5C29BgIxXwS1f6MPFZxRgBwkMDufQO5BEa/tpGD9u6jW0vHZROnf0qIzHqAAOADff+F3Mmjp22KXBJD8/ePSm7kGUOcBpGT17AM/hOGFGBW5ShsrKg6o0ce0KpwBNAOu3O/j27Tnc9d8p9A9bsqRxDWpiFsukYQisRyU1oeHiUncklkDW0YNm5SpdPi4EdlgTxUxoMIEf9tUJEw5C0Jr7UQnqyPMRAA7jChIN7oqtF2otdquuNtXd3vYpd8YW0+Yag+vXlGIWmlqizK321BqAD0PQkM0yTJ8SoLmRYflqG729xFANzcuVjH0VkVhIeAGuvHQYl52RhxtYKJRT6B/MoITj4dYtuN9NH3dnOcj1X//9mw4twG+95f/iE5+8on/ecccsfnXjy1N29e2etmPHMHjBRzHPsHSNjXXbhCadTgBeisN1jf4+8kxRl2DDdgfX3Z7BvX9OoQhqeChNgJt6t7LkRNc0cSkXygk16puoPEsStcqhtY4Cfl/WOwJaXSMwrNcYWvK4tRYoiQJaAb0aiLVBHF0Mi8fV7zOtdghaBXoe+V+mJY5KuVHQw7T6Bm5rrS+0NTcmA+QVgQccDuXomhygtYlh2Vobvf00ppNLUFsMY1oCnHpCEdd8aBiXX1BAYwMDtTkqFYLXdrSgvzz9genHXvj5oaGezbn6jtHCdhSLTGNMPmocXnjxr5vPO2vmy6u3bzxvTK4bUzsYtuwi+M/HkvjtQyn85ekEJowJsHBeCZ84L4/OcYHO1qAO8Fq3hX/6aRb3PJpECRKNJMIHjJvBu6UdEYtKw2rHyq2FYIlFCtLYJd7k3ohZRuPkxheeEU3cBIl+YtqxUQwpA4aOnZq7hOqJfF0sHHmVR1PxbNWKkGilBXrxSBgTeZIGX+cMYaFNEFF+Waa5E5UZRKmWDrXsyMQ3JJSDcQuUAVxesXmFI2kzXHJmASDAN3+cwaZuSyw8hXCPzgkBPn5eAe+YV8LEtgBt9QFACO56JIWtOy2MbSxg6uQMvNysl19a9sTm44495UAge2AAB4BxY1vR2tJ+Q7puw+SLFmy7dP6MV/HiSuGuzQcWtvXa2N7L8NI6Gw8+4eHD5xTwyYsKSLkcS19ycPs9Kdz9aBJlfZ2OgRnmYlJJhUZ8twHqkZw4NR06iEqCkUt4DeupwB8BcIyjjqRzx/cfLdDjiy4u9XANZEIAqW2bbnmlsGhAk5gOrvaVhobJxSXkApGpLyxrhBMiazhoGVGuKDmTBTyFAWGMSsxzrfww5ZZlIqCOVTg8m+PSMwoAA356TxIvrnSQdhk+flEBHzm3gKPGVpC0mPjuAVBgBHfcl8ULy+twzulp3HnW1Ls2Fo+7IUU2HChcDxzgba0z8eWb/9i/bXjG5VPal4+1gz0LSv4wOHUA4gDg4CxAgQErXyX47h2i2WhTHcfXf5JG74AF31w5mddISFMLaiwwBdosA9wOiQZSWTUBj+hiMQ54sh/rrS+7Iajjlj0OZn215qimAfsbBBFVTqtnCvjaAWQoKSTcJ9xebcW1qiU/R2cAMeF/ABOHXSVUKCmRUyqlRamqaEtuOoe4lBpFRhDkfhxUqjwcLOBwLODSMwo4a34ZX/1JBs31DN/61BDSNgevMDCfgDFLXm0YHJsDbg49fR2LEq3jL58+dFeeZP/h8AMcAG78wjkY7n0mD/6+8ooXd+D63yRQpnXSC+ADKEFVbicBQU8vxdpNBHt3W6i4iIE6jE2ooig6uEt6K6UrnpJwMVltrWu740fMt4wX8zGpSYyWRAJRUNuSR16PeITCh6YUOBKQtacyBnyT0oRgllYephU3AC9pg3IMKc8kqOHC5zxMP5NOIUhnEKHCuykbzkvHUfRegVwkSnNwQsE5E8dA1hy0KdDYHGD+bB/9AzJ3k4iczSBw4Fdc0RWOMlz7gSH88L9cfOqy88r3/4Xm33v67IOB6sEBHABS9VPBGHtuafe7T3pt+3PJTEoGtPsWeBAAzMeU9gDnnZLHlz86jKWrbSxe4WLVJscAimHBzdgEDfKoK14H3tSw0tXZ8cpC8yraUVtWG3m7Aqi29uZEMKAc4d4HQE9MaxzRvQ0LrcCvKIv2icirRdR9HxbtBJcdOI0IQzM6kXEI3gyiebmw7hQMzAA3A6ECtPo5RF0VJt9IGJG5ltKrTYwCJ/KYrV3v4J5HEnhxtQ1iARecUkBncwWMU5R9D8VyApWKjRmTCH74+dmFdFPnc+JzDm6MWkWJj29/+0ZccdU/Pzah46jU7u5Nb+vf3WNTaqPgU7ByEfOnD+KGL/ThY+cVUJdiGDeegZUJHlmUkN4tBWYp/8FwzWsXPdGJwzqBgRqlH2J6d0QSpIYrnprhstB1ULTEZ7xPTw4a1i8R+4TSX9ijPpQM40qKVlCo8ZiE+5r8vnoNEKdM1SUrwlohxueqD1RzI6aIhFeiaNMsRa94bFuorFTvG35W2MUaxvFTTj3lEwEIiAdc/4s07v1TCgO+hSeWeli5zsGU8RWMbyUoFNPoH8xid28KJRxXnHHsJbc0NzjfaKrLcBzkOPipAaC9KcEWL3r8utlTW26cP7O9XO8xUOZj/owB3HBFP856WwmexcF8DjfgmNVZQUdbAATq6FDjCBp0Jeat1EFUtJp317TcMd5tejHj3st9VbEKqUvUexk52RpMIS5e9+DV95EIQ1M5wQhuepjboqWWzVriZuIDj2yD3I+GRTxVDyBj3/BzROCUeq/6ugxiG7E4tu60sGKDA19aoJLv4OFns/jH25vwzCobFuUYHEoiH0wpB3TCjauWP3cdIVl2AEeuahw0RdHnglXK7WPafsDYcDmb6fnOOYkeeu6JRRzf5aI4bIFSX5R84AzTpvqY01XGtidtKQ8aSDHBLtFtBlLVCp4aiarU4uLV4I+55GtauhqvqW9MIgw7CnKDlI+6SorJwWN8nRNEeLVYyIU1UEKwS74ruThV4Jfx5MrVDgierp+rRSijIITJiEFpGWQMeej+pyCSphCt1IRFQMX/M86jvCwQB1i2xsGadY4I56AWYDsAHCxalcPVP63D2XMLaKnLsqmTx36nI9P2o76B/vLoDt7I43VZcAD4yIcuxsypA4Vzzxh///+5YAY/dWYC7Q1N6B2sR6GURCVwxewGYDscnoOoOYpcC8PFJYGgFbYR7qroSE1JMOKZjLYVr45BCXujR0Bdw3qjGsYx3TucDVVQHg22eeSuKqNeg1xZZPNtvJY1j+viqu234RVX2xQgmdF/U9cXNztGqDrjUctvvj+aCqeC7qI2rOQTBL46uBZAXBA3hVQqg+7uBjz2fBOK7lzeRzrvX7SmVDhxwQWvF56v34IDwMTx4+Bm0+tA6j9TKqZv37brKdrWBDiWD9cp65+pwzS15sWj13gDaSpS0EK09IPOraQjJzXEgV0r7sPki+orUGIuFlFl4UNrHs/HjOJdv3f0+NZAjkwejpAXRxaR0thLDh42aBI76edmJhCRziGoqELRfVhZccpE2QYitXBlwQkPW0nqBGVV5k2BGVz/Tyi9U/0EmXwOqKunIYISCzZ10OhyTGzguPjst7MZM47+TDE1cV1dYfehgObrt+AA4OVOxMaNmfKkzpN+7rjulyyvFb4vql45tg/YAZhsbJXyapgsDQkJHglsC3GdO9Y/R91rVzqPALpaZTFAHAN6/LF2W2vgksg8NMFtAh/xnzOKYVYoC61vuCGirBjHLMq5QyCGicdmZwTTmoe9fVShoDg3V6HPqqQENyy5Kj0RseJQ9zAoilCxAKH+5EuCFtEKh10JYAU+CGMAr2DC2CbYtv2l0xae8PMZDf3lcxZOPyQAPyQWHAA6Oyehv29nMP3Y92zo29k0WNq7LbtnoBtPLKMo+Emkkxxnzi/hqg/m8ep2C8+uTIA7Kj7TQIq0jmb3s7AnpRE0RXhsW5Rz1+qWFsaNGNs1QGPWO265FbhHwC9HzPruD9QYYQ7oFwiUTYxs49xI74pacUDK2wbgKUQBfMgC+SIWhEiLDaUlwqJEPIws6ZRpVwqRWUiI6oKfjMs24kqK0T9EfkkHWLzMxa2/TaO/Apx36jDSSY7hUh5L1lTQVDce5519yuA5px2/Ydv2ncFRnVMPFSwPHcABwHGSSKZ6HkhPnvvZJb39t9z0739s/ONfC8jnOca3DOPJO3tw4qwSbryK44u3UCxZbclYYXUChXpimeCOpZwpebAqGpDGwG2ANwJuxG4U+6YhxoiA2+Dr8RHfVhP4NRaTI8WhqNfVJNJue/AILycEmqpwCWpOZQ6mcvMzArY/kCs3PgcY0/wFEumy7opoVUiJKq4p65IbP4IQDttheH6Vg2tvyeH5FS46xgS45doBjGsE9vTZeHZlBlb9SXunTZt39bLXhh6YNTF5KCF5aCiKGql0DoRMxtrN9Net486+Zs7sy3paxk6Gk3Zw2sklZD0GVgIWHlfClZcMoiFXCbNLlSBHSNQi0/BxFU2hoTWPl4eIaNgmuE3rrb2YUV1Y7VdFWSAVEhIFn/n+A7Hi5lDcWH1whJKEm6Ph1JoSiE+IyIIInTvMrJWitku6Ysp9gVEJSy8qeQ1ZkIXZW8ykJ0ZVLUAYor0DFD/+fRZPL00BrouhooM/P5VAfsAFWBdOf8clPeecdso1U8blf71wThvq6+sOJSQPrQVXY9rEOvT1Dfzic5edRBOs+/ubNr3c8qVL+5FyHRRLFjz4WDCnjBOmlfHo8154iiVIognEMCx3GKsdxp7wGMeuAW7UALe25tVhqIjTFfXdYhTbXB/DvDeBuw/AVy0qYciCGrQ8VA8VTVGdECDlQ8QWq/KPKkXMpBueUkFXqLx8qGyduCWnlESpCkVYDQtCSiTKaquGs4TpFDg1LJtjyVoHTy5LAq4HODYGCgzf/HmAPQMBTn/7ST2zOs/+arEQ/CKZqj8cUDw8AAeA+voc1r9y38/PXZAItk/uuGnj1sHGpJ2SemoeY3J5tNRVotdX2YHYBnR8t24YpdLQKKJyYQzchNSw3ESpJIblRkwS3McNNYAdRaXaOCKzHv0YgaYoC681cf1aqJJINi4BbpYelmBWIJfRiJRE6YoKN9El2CKD6k8SBoAi0NUSKJh044dauPiMnn4bO/oSgJOE7SZAHY6xrSVs6Jm0t25N05eXrnv03z75D69fDhxpHDaAA8CUGe/D7+69/VeczSijNOb/eVtezbY0FOE6ATgvI6xXLlz1BCQS4x264cOUtBE5eGTxSKqjCLFvcJuCbdRS14gzMd6P2HvN940G62ZAFanxmv5UY+0WCw7U+5rPxa7mlhDkYZYOB2WimisgPJcUTHXwNj8o/KdynRSASWDzsKU4I6JPD6i25JYF2I4NUvHQmLTR7Pm4cOHswTkzGq503Z2/e/eZVxxOCB5egANAU3oMC3jyLq+uqcKp98tCcVkiCCzYtuxrbsR/EyK1b5VXacacmPQknolj8GnTiRO/xctCRN3x0Pw/SldCMEWiCvSIt+0+iA4PJsgNj6X6P0aAoebbJELQhbUWkna4V/w5uLDYaptKcIDsDEFl7ZIwMycMLBT/hULUtRHTnlHJxwlDwCgoDd35wnVPwWQdb5tSJOBj4XETim3NEz7uWo339vUWXpcbfjTjkC4ya40z3v1edDQNBIn0uHsbGls+lKmfVHTcIp5dR/HShgTgRPtYVtU3MQOqqGG9qSEfygRgS+VC0hDQVfSlFriNCRC3yHHjvC/wvh5yotTSWlFFiv1U5evGbzzUtc0Me1UYn0HFlxh6OAu3BYwgCEIt3HweqFtAxY2pe6mZM2osRkW78Ipv49gpFZzUNQw/X8bMoycV29vbP3TU2Pp7123uDT5w6XsPN/wOP8ABYPa8SzChZV0wbtzl9yXSLR9Z3d2Z/+VDKazfmQEcD6A2CKFGB2KuO6FZkfuQg9uGPGhZJKKJEwIjSRiIJgCPHGBlBk/FVRVEKMnr5Nm1xr4Wo6gRf2UAnptmtmawFaRzBjGXfHXPe9GhmKASEA3giu5xT1GRN/GcgEnAh+57AW4WWCiWXUxoJvjgmb348IUN+aMmt33k4uPPue/JlweDKz912RsBvcNPUdQY23U5XlvZzydNz9z9qW/Ntldva7vdsnrqfKjw2BpVqSTQLcsAd4yikFqUBFE+HnfUVAdXxZQUmDvL/QzOEJkYMSAeSugrOgIeTRSuGSquibkKFIc4ACaRl4s/Ij9P0ZLwGAhnEDeuZiKuJKy5Ysn/Q2T1K0oAygRFsVhYnjlgFkolB9SycenZ4/vPPTt3Rdv4r939jds4vnfNR98o2B3S8zGqcd5n78BxcyZhcKDwkb6B/I/+/PSqpi07+kAcC1kLyNocKZsjYXO4NodrIezNaVISA9iR7DfEwK3OO+KglicqNinC10mVhQ9LPdTuvlv1nJr7xrsiR6nRSKl1ZgiCVoP0vlzHlavvJr5zOCF0UFmsH6bY1wxKi8Zzi3o2ZjCb0UVPNSKzGRwrkF0/KvAcH67rw7EqoKQMYrfAzc7dYzmZL5aKqV81tawHyXzzDcXbGw5wNbp39cJzncvvuHfxD2775SMt3XvzyCQcNDgMaYcjaYvIQ0eCWwFcBFqNUDwnBk5ETmb85BJ9QqvAXeO1OKgPNcAjjqfYukEDHPH3VLddMUEOxF/j1VcfA+gAZCi+GbBmAN3sj2qLjnuOLQCecCtIeGUk3DI8Jw/Hy8Kpv7gn0XDWVzjz73QSTUcEZ28YRYmP9tYG7O0fuvPTF59MwErfv/lXj7f09hUAm4pe8rYAt2sLiiKsN6lSTcKTFS2YaQJWbVM8OgL+qn0NGmK8VksKjI+IdHgQQ7OJWu83eElITwg0kYnFjcPIvNdv50Q7kRRNEQnSRNzLOHF1nBTLIUxeNbmohcgsLr2gIk2fEo6KxUQtTVKEk0gj3XxBj1P37q8C/E7iHhlwA0cQ4ADQWJfBnr6hn3/0wgUVx3Vv/sXdTzXke3vhWAE8G3BtAXTbIgjTzGJSIFBFQcQgNUFeG/jGe9Rrr+PaFnf972+YkfE1X+eITMhIapkZdKXBrd5HdOyKKphJ5HtEbicitF1TNoR0RfT2EXq5uJIIkAdWOHlALFg0QOBacJPtSDaf1Wtl33Ut4/yXlr3vDgyHexxRgANAU30GhWL51x98z7y9G17d2Zm1ghuf+NszjmsTJFwKWykkNMq5Fc0wQR4ftWhKuN1AAkj0M2LgJIQc5AJy9O84oM/W7vxQVNTBWkasuNpXvB4Fuy5twRG9OOlFpPrtBi2STqKAEtCAI7CUdCiy6lvHLfDdTPnLbu7UDYSm/0hoYn+/5LCPI8bB4+O5pWvQPqbVfXnlmo++vHLtT5csWUZ8v0gdi2q1JMKXCXQBylH9ULWo3M8vr0VflIQoohPj7n2jRqHm17EybYY8aXJwc1EX4eQ1qnTVXHPo2uvVdKv276/9G/c3lNJi8nsV72PRAKmkxyZOnsnbOjo/09Yx5d8GB3aX6xqPecOws8/zfqS/gDleXLYS6VQyuX7jlvGvrFx9cU/Pru9u394Ny7IQbw0C40SbqVvClR318kXoyCiPSBQwcsGIgwM4VRPEALierPTgAK4WmfpYHMhJj9E0c/DIsSQwF7IwqBIHBwsCNLWMQUtLyzfGT+y6u75x3Ba/XCyMGTvtSMBnX6fzzTV+8x/3Ip1rtAb37vhW945dX39t0xar4vuiRoeqhWfIdgrggVk43viBEeslH9cKRa11YEK5bRQqil4EjwLg8rPjAKe1ttGY+hEDeE2gxn6UitM2yyjHJ4Y6dgELM4IIwgU9uHC7M8bgeS5a2sYFubqW7805pv07GzfvCeYvPP9IQ6dqvCkBDgD33ns/3v/+C7Fr9+7vLXryqS+tWL7c29Pbj3xeAN22xI0Q4Z0LAib7l3N9ciPaeA0zx+WOZtJArYMTB/VIOvgBWXCMLA2aoQZxHTxCU9RisMZ3N72Z4W+tXlxTEuXxglOLhquMi/9n20KqZYyj7FtIJLOYOWt26bi5J92Uq2v6+mN/fRCnvuvcIw2ZmuNNC3AA6B8YkCXJ8P3Nmzed9MCDD9HuXUMn9ff12tm0i2TShkXFIqdYDlD2mVjwGD9Ox4MbYDcTBzjEiVPbax4gBVr1OdT0noZWm1Kj0A+iAA/pR8yBpKmPQU9qWfAqirIPcCMajxJPnjD/PzWcQgrgpTJBsSx6vFoUSLgMCa+Chvr6ynAxufjkhWexiZMmLg4C/lXXtZBKZY80VEYcb2qAm+M3v70ftuNkh4aGf7Z16+ZLSvk9NOH4SHg2CiWOPX0+8sVAt6LWC1Gi4lRCjVqVT2CyOZOiPQoI8YMSpyZmzXDTgWPWCo/W844CHKhVyiJGUajqyiyoiKWK7cYWmGoCqqEBLUtBqL48jEd/TxhuHBZNAkRsynCBYE8fQ6EUgBCO9pY0ujpb2Pjx436fTKY/Wan4g7NPeHNa7Ph4ywAcANas3QgvkWjesaP7qg1rVszMeH0XorwKq7bYWLrKAuUcrkO0p5MQEYglpEYBQA6uwR0EwnqLACQexlpH16hRi0fjIFfdH0LPperqEKE2iE6SWpQjXrxI6/40mthBaMztLocOyuKQEYGCMwveTHT5ZEpF+IOK8VGT1aIcnsMBWsEzL5ewfB3HKSdOwbTJzfefOO/Yl8e0td1aLJZ2N7dNOtJQGPU44jr4gYxpXZMBYHfv7q3fnD6tc+JQ70p43L5w/R+WYvVWgo66BFobRKNS0SeJaJpi21TTg4AxVCoA0/wzBLcKLFJDWMgQRtrC1zANBCo9Qj431JKRuEQ8cMpMWRNOxUidqCqXPamBcJ3eJp8zRuBXhCXnEJGYBASWwe1VLFkmVUZjXQ+Wb03jmDkLceL8rvtPPqHr6t7+4U2ZuvYjDYEDHm8pC26OoLwTgDuF0uWzl6woXvW7Bza/Y+fm9UjZeVSYjUKxAtsiSCUokgkLCdeCbYuf6/uCs5ckZ1dWPOxYED1CUe8p0fHnippoCqRpSjw+JTzYkcZQNeiJtuCx+HerBqWItyMR6wli0BKCSgCUygSFElCuiJnr2ARJF0glONJJBscChgoEw4UAnRNdzJ7ZgV3laX9bvbX11ve8ffLyQslfP2nckXO3v57xlgW4GrIeSNe/3/dE+/hW747ennVTtm562nrgSSDl2mhpsFGXcZBNW0i4AhhDBaC330ehFCBgwuQxzo14aUCXr4nxZxXspUFuJloQanRiqxH3QkJXk/maGWylQU7NzCb1PHwcCbSSx0KtJxgL230HjCBfJNjbzzBcqABEeIizKQsNWY6WhjI8L49HliQw79gTgnnHT13fXDf4qZbxp3cDWHugLRHfbOMtRVFqDXkC1vb19q5ljJ2VH3LHTp89/Z7ntjyV83u3pcFLSHoE9RmGXJohmQhQKFWwqZvA90WUIpUnkUHIjGpBJgDONbjBuGiUimj8SNxrqZxLWoM3pUo5FBWhPOz/G1E84uuAiIWXvNng4gBE70tDGqSUI+GKbglL1/koFTiSLpBJWbAokEsDmXQCU6Y0D0+YedZA/wC9qLV94jbLsja91YGtxlse4GrUNzSAc39TQ+PxW3bs6Zvx4Qut+Umb/euWLRsrxYFXG9POrmxDtoDm+gE89HwBa7e1oi1HkU1RUNkpOOBSS+c8JvNBoE4tMCP9Q8SILkSrgQ8oAIeiOwHRCeyqnXu8EL767FBd4ZqmKEuu8kgDCrByqJ44NpBOMkxuGsCKbYN4+OlmjK0naGFAR0fj4IzZXXundXXa6WTlE+OyRz3D7cZ+MMYyyYMuG/+mG29IytobNQhxQAhhfj7fO2NKx8ONDbmu227/r873nHvR9447bvYr48fWvWR7rLhoVQ57BoWCYlHAdSkSngU/oBgucZTKgC+dRkyqEBWtRnC9WBP/0wRyyL8VfYnLgeAhDWKMR7Jl1HYzHU2fKJ3RJJM/rDA+27E5El6AdCKAbXHkiwSFklhYcs6QS5Vx/gKGxjanmKob89Kxc+e9cukll3xvzUsPdiaS2S4nOfHhSsnvzXjk7wrcwN8BB9/f2Lt7Ewi1yd7tj2O4mLcKQeqnf3jK7tqzvXuBXemxLFJG0iNIJyrY2VfAi+sJHFBkkiJc18z6siwi4tRtCtchcCyhzoicUHFPDc3dBLda+FUYl8CWqktMT7doGP9uWzIu3uZwHQ7XZnAdIe9BVo6lhMN1GLJpHxYt47lVFrZ2J9Hc4CKXsdHc4GDOMelgUmfDoqdW5tZu6S5+Zu9uL7j0ggUo+xXeNWXikT5Fh3X83QM8Pnbs6oPrug19vXuvf2rR4+5rmzYH7a2p4zuag7muvRxfuh0IhhKY0GohnRD5hSVfWFbHBjyHIOESeC6F61A4lgS41NuV1QaJqiIA4FeAYpmhUhGNmrT301jIWpQIfVreHAtwHY6ky5FIMCTcAK4tEg4KJYog4EgnA4xp7MdgqQ83/r4dc46ahI4W+4WkU1k6pn2cdeqp7yzXNzZ8rVIu9zpew5E+BW/o+Lvh4KMdY1rrAaAXwBUAsGrFkwDIO2xaOtO2mi96/9l82mCvj93b1iOT5OgfKmJjTxGVMtBWb8G2bO0ssSwCaoWKigKnqStbVFwJbBsoljgGhhiK5QC2ReDYVC5KhVUX4jcVFaeIKNtIADiO4N+2xZFwfdRnhlAsM+zY0wSONBJJoKn9aNRbHGee1rJmUlPdPXVZ9xHG+N/OPuvUI33Ij+j4H2fBRxqFfA8AnLWrj3X27NrL7rrrPjZtcttR7e31X3nshbXY1O2ADe/G8GAvsimKxpyNulwClBD4AYNjU6Q8Cs8V3YSLZcFrPAfIJDlaGgIUykX8ZQlQKlI011lIJS14jgUOoFwOUAkYXIci6VE4DkGlAgAM6USAxlyAXLqC5uYsujo9rH4twJA/B8XhwR941u5X3/mu82gyU0/7894GAA+3tzQe6UP6phj/4yz4SCOZagGAh9Xzwf49oJZXX85vXUysIhavsv1jxs/6Ajg7w7E5Uh7Bjq3LsH5zH4pFC9mMg2yaoj5TRKE4iO27KGzLRi5DkE1y1KUKsL1+bOvzEOQTSHsBkp4L1xbZ6dt2lUGpgzHNCXiejdZGhoGhIgaK9Tjx5Lmoz1J4LodF8WiucdvN5c2W0zFhFqZ1tv8tXyz1NbW1HulD+KYc/wvwEUa2rgkA+gD8AQA2b+0GAVaXK0EbBZhFKvDz67FuSz8CbsNxHFSCin/ivNnXDQzuPHeI237S85BLUzTVEbQ2llBgQzhxrgtedNHWQNCQc5BLEyQTJQRp4qTc+gf3bF9+ne04TjZdgR8A+SCJyZ3TkUnbsCgoh7WTY86r57znrec2PxLjfynKIRz9Ox4DQNt27NpY98QLDk95HrIpioYc0JiroMTyeHK5DZQdNGYJ6rI2simCRKKIJRsoaW0Y388533nZexcc6Z/ydzP+P5KbVlylxuyFAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIwOjIzOjA3KzAwOjAw1HLdeAAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMDoyMzowNyswMDowMKUvZcQAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 55849753
{'hecke_orbit_code': 49539595934632903, 'n': 1, 'trace_an': 7}
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id: 55849754
{'hecke_orbit_code': 49539595934632903, 'n': 2, 'trace_an': -4}
-
id: 55849755
{'hecke_orbit_code': 49539595934632903, 'n': 3, 'trace_an': 0}
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id: 55849756
{'hecke_orbit_code': 49539595934632903, 'n': 4, 'trace_an': 8}
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id: 55849757
{'hecke_orbit_code': 49539595934632903, 'n': 5, 'trace_an': -7}
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id: 55849758
{'hecke_orbit_code': 49539595934632903, 'n': 6, 'trace_an': 0}
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id: 55849759
{'hecke_orbit_code': 49539595934632903, 'n': 7, 'trace_an': 3}
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id: 55849760
{'hecke_orbit_code': 49539595934632903, 'n': 8, 'trace_an': -9}
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id: 55849761
{'hecke_orbit_code': 49539595934632903, 'n': 9, 'trace_an': 0}
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id: 55849762
{'hecke_orbit_code': 49539595934632903, 'n': 10, 'trace_an': 4}
-
id: 55849763
{'hecke_orbit_code': 49539595934632903, 'n': 11, 'trace_an': -5}
-
id: 55849764
{'hecke_orbit_code': 49539595934632903, 'n': 12, 'trace_an': 0}
-
id: 55849765
{'hecke_orbit_code': 49539595934632903, 'n': 13, 'trace_an': -1}
-
id: 55849766
{'hecke_orbit_code': 49539595934632903, 'n': 14, 'trace_an': 4}
-
id: 55849767
{'hecke_orbit_code': 49539595934632903, 'n': 15, 'trace_an': 0}
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id: 55849768
{'hecke_orbit_code': 49539595934632903, 'n': 16, 'trace_an': 6}
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id: 55849769
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