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{'Nk2': 4644, 'analytic_conductor': 9.270631674670653, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [43, -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': [1161, 1, [947, 433], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 10, 'field_disc': 427457216694300672, 'field_disc_factorization': [[2, 12], [3, 1], [11, 2], [131, 2], [4093, 2]], 'field_poly': [-108, 0, 346, 0, -337, 0, 125, 0, -19, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [-108, 0, 346, 0, -337, 0, 125, 0, -19, 0, 1]], [5, [-7500, 0, 7600, 0, -2811, 0, 473, 0, -36, 0, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043195562001545, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1161.2.a.m', 'level': 1161, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 43], 'level_radical': 129, 'minimal_twist': '1161.2.a.m', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}+\\beta _{7}q^{5}+(1-\\beta _{3}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1161.2.a', 'trace_display': [0, 0, 0, 12], 'trace_hash': 305672755403669321, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.187', 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mf_hecke_nf • Show schema
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-20, 0, 0, 5, 0, -14, -2, 0, -8], [0, 6, 0, 0, -12, 0, -2, 14, 0, 0], [0, -10, 0, 0, -6, 0, 4, 3, 0, 2], [38, 0, 7, 8, 0, 7, 0, 0, -9, 0], [0, 15, 0, 0, 7, 0, 3, 3, 0, -12], [0, -3, 0, 0, 1, 0, -11, 17, 0, -10], [26, 0, 6, 18, 0, 0, 0, 0, 6, 0], [0, -4, 0, 0, 15, 0, -6, 3, 0, 5], [0, -11, 0, 0, 7, 0, -5, -5, 0, 18], [0, 26, 0, 0, -13, 0, 2, -7, 0, 6], [-2, 0, -6, 4, 0, 3, 0, 0, -13, 0], [0, -3, 0, 0, 6, 0, -9, -3, 0, 0]], 'char_orbit_index': 1, 'field_poly': [-108, 0, 346, 0, -337, 0, 125, 0, -19, 0, 1], 'hecke_orbit_code': 54043195562001545, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 12, 6, 6, 12, 12, 6, 6], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 1, -1, 0, 0], [24, 0, 9, 0, 0, 1, 0, 0, 1, 0], [0, 40, 0, 0, 0, 0, 9, -13, 0, 2], [162, 0, 71, -4, 0, 13, 0, 0, 11, 0], [0, 280, 0, 0, 6, 0, 71, -127, 0, 28], [1148, 0, 549, -68, 0, 127, 0, 0, 99, 0], [0, 2020, 0, 0, 108, 0, 549, -1125, 0, 294]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 50, 0, -55, 0, 14, 0, -1, 0], [0, -50, 0, 55, 0, -14, 0, 1, 0, 0], [-30, 0, 134, 0, -88, 0, 17, 0, -1, 0], [0, 44, 0, -204, 0, 105, 0, -18, 0, 1], [0, 116, 0, -216, 0, 105, 0, -18, 0, 1], [102, 0, -188, 0, 94, 0, -17, 0, 1, 0], [0, 158, 0, -243, 0, 108, 0, -18, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 10, 'label': '1161.2.a.m', 'level': 1161, 'maxp': 2999, 'weight': 2}
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{'AL_dims': [[[[3, -1], [43, 1]], 17, 2], [[[3, -1], [43, -1]], 11, 3], [[[3, 1], [43, 1]], 11, 5], [[[3, 1], [43, -1]], 17, 3]], 'ALdims': [11, 17, 17, 11], 'Nk2': 4644, 'analytic_conductor': 9.270631674670653, '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': [1161, 1, [947, 433], [1, 1]], 'conrey_index': 1, 'cusp_dim': 127, 'dim': 56, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33555593, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 4, 5, 5, 7, 7, 10, 10], 'label': '1161.2.a', 'level': 1161, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 43], 'level_radical': 129, 'mf_dim': 138, 'mf_new_dim': 56, 'num_forms': 13, 'plus_dim': 22, 'prim_orbit_index': 1, 'relative_dim': 56, 'sturm_bound': 264, 'trace_bound': 7, 'trace_display': [0, 0, 0, 4], 'traces': [56, 0, 0, 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0, 0, -220, 0, 0, 492, 0, 0, -36, 0, 0, 412, 0, 0, -1148, 0, 0, -540, 0, 0, 1516, 0, 0, -48, 0, 0, -176, 0, 0, 192, 0, 0, 652, 0, 0, 316, 0, 0, 636, 0, 0, 340, 0, 0, 224, 0, 0, -676, 0, 0, -540, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 662312
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 10, 'source_hecke_orbit': 13, 'source_is_minimal': True, 'source_label': '1161.2.a.m', 'source_level': 1161, 'target_char_orbit': 1, 'target_dim': 10, 'target_hecke_orbit': 13, 'target_is_minimal': True, 'target_label': '1161.2.a.m', 'target_level': 1161, 'twist_class_label': '1161.2.a.m', 'twist_class_level': 1161, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 662313
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 10, 'source_hecke_orbit': 13, 'source_is_minimal': True, 'source_label': '1161.2.a.m', 'source_level': 1161, 'target_char_orbit': 1, 'target_dim': 10, 'target_hecke_orbit': 13, 'target_is_minimal': True, 'target_label': '1161.2.a.m', 'target_level': 1161, 'twist_class_label': '1161.2.a.m', 'twist_class_level': 1161, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1733875
{'charpoly_factorization': [[[-108, 0, 346, 0, -337, 0, 125, 0, -19, 0, 1], 1]], 'hecke_orbit_code': 54043195562001545, 'p': 2}
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id: 1733876
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 54043195562001545, 'p': 3}
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id: 1733877
{'charpoly_factorization': [[[-7500, 0, 7600, 0, -2811, 0, 473, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 54043195562001545, 'p': 5}
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id: 1733878
{'charpoly_factorization': [[[-29, -133, 99, -8, -6, 1], 2]], 'hecke_orbit_code': 54043195562001545, 'p': 7}
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id: 1733879
{'charpoly_factorization': [[[-139968, 0, 89656, 0, -19903, 0, 1883, 0, -76, 0, 1], 1]], 'hecke_orbit_code': 54043195562001545, 'p': 11}
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id: 1733880
{'charpoly_factorization': [[[11, 11, -35, -24, 0, 1], 2]], 'hecke_orbit_code': 54043195562001545, 'p': 13}
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id: 1733881
{'charpoly_factorization': [[[-768, 0, 6976, 0, -3456, 0, 596, 0, -42, 0, 1], 1]], 'hecke_orbit_code': 54043195562001545, 'p': 17}
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id: 1733882
{'charpoly_factorization': [[[-71, -47, 51, 6, -8, 1], 2]], 'hecke_orbit_code': 54043195562001545, 'p': 19}
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id: 1733883
{'charpoly_factorization': [[[-817452, 0, 808434, 0, -202377, 0, 9781, 0, -171, 0, 1], 1]], 'hecke_orbit_code': 54043195562001545, 'p': 23}
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id: 1733884
{'charpoly_factorization': [[[-6377292, 0, 2165130, 0, -211653, 0, 8667, 0, -156, 0, 1], 1]], 'hecke_orbit_code': 54043195562001545, 'p': 29}
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id: 1733885
{'charpoly_factorization': [[[-4896, 384, 448, -40, -10, 1], 2]], 'hecke_orbit_code': 54043195562001545, 'p': 31}
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id: 1733886
{'charpoly_factorization': [[[-72, -24, 62, -5, -6, 1], 2]], 'hecke_orbit_code': 54043195562001545, 'p': 37}
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id: 1733887
{'charpoly_factorization': [[[-559872, 0, 1214656, 0, -626080, 0, 22724, 0, -268, 0, 1], 1]], 'hecke_orbit_code': 54043195562001545, 'p': 41}
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id: 1733888
{'charpoly_factorization': [[[-1, 1], 10]], 'hecke_orbit_code': 54043195562001545, 'p': 43}
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id: 1733889
{'charpoly_factorization': [[[-2239488, 0, 868320, 0, -105327, 0, 5491, 0, -126, 0, 1], 1]], 'hecke_orbit_code': 54043195562001545, 'p': 47}
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id: 1733890
{'charpoly_factorization': [[[-128471808, 0, 29953600, 0, -1584112, 0, 33740, 0, -310, 0, 1], 1]], 'hecke_orbit_code': 54043195562001545, 'p': 53}
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id: 1733891
{'charpoly_factorization': [[[-82309932, 0, 18183928, 0, -1296927, 0, 33431, 0, -333, 0, 1], 1]], 'hecke_orbit_code': 54043195562001545, 'p': 59}
-
id: 1733892
{'charpoly_factorization': [[[8, -24, -66, 59, -14, 1], 2]], 'hecke_orbit_code': 54043195562001545, 'p': 61}
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id: 1733893
{'charpoly_factorization': [[[-576, -816, 880, -175, 2, 1], 2]], 'hecke_orbit_code': 54043195562001545, 'p': 67}
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id: 1733894
{'charpoly_factorization': [[[-18930432, 0, 7603264, 0, -913136, 0, 38604, 0, -374, 0, 1], 1]], 'hecke_orbit_code': 54043195562001545, 'p': 71}
-
id: 1733895
{'charpoly_factorization': [[[-72, -24, 62, -5, -6, 1], 2]], 'hecke_orbit_code': 54043195562001545, 'p': 73}
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id: 1733896
{'charpoly_factorization': [[[-1000, 300, 1530, -247, -8, 1], 2]], 'hecke_orbit_code': 54043195562001545, 'p': 79}
-
id: 1733897
{'charpoly_factorization': [[[-2066872512, 0, 168438424, 0, -4861423, 0, 65045, 0, -412, 0, 1], 1]], 'hecke_orbit_code': 54043195562001545, 'p': 83}
-
id: 1733898
{'charpoly_factorization': [[[-1077762348, 0, 101682378, 0, -3620457, 0, 59589, 0, -435, 0, 1], 1]], 'hecke_orbit_code': 54043195562001545, 'p': 89}
-
id: 1733899
{'charpoly_factorization': [[[67, -51, -419, -90, 8, 1], 2]], 'hecke_orbit_code': 54043195562001545, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 13, 'label': '1161.2.a.m', 'level': 1161, 'portrait': 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Zy8UKM3NLTrgoYnkMT4fkK7kdAdeJxcgEB7aGO4YltIb5BwbslhquVy8baYXZv7NBsBQhrCUNAZ1FnseEw1BK50ObfgceSs4MR8zKnlGL8+4BU39fmOm8GXkxw82ebUBcX5jLkXDUeWDM+9epFfetsq26YmOXlumvPLdRZXXZZWJcudmNVOxEo3YakT09ctpmen9c//6NQHb73O/4kLy0n3kit+8tmGxN/q9g8a4GtrHXqBwVO8/Z6HDj3/377jz+Stl88//13/8qSzuLKdpbVJVjp1ljseyx2H5Q6sdBJWOhHLawnza3B0WTA3u8av/OAyz7uswekL05xbaHJuyeHCsmF+KebMYsJCL2ZyesQLru1zyxXgyTq+8rmwUuP8ksP8imAQQBxrap6mWUuYmojRwMn5mG4fdm92adYDjBEgPPpDza4tActrDhgrRdb6EMRgMKx0QrZvcukNFUIZhA5o11x2bR2xNhCcPOeQaIeZtqRVE/guxLFgEEjmVyTnlw0XVmN8fwRuzK1X9Xn+1YK5dp3l1TanL/icW4ILSzEXVmLOrsDRZcNzr1riV39wlS2TbU7NTzO/XGdx1WOpI1lZS1jtRqx2E1Z6hqWe4FQHOisrfPq3+vHLnut+Na7/rJa1a7+qZPILYexTb7Sebag84+0fbJD5Z3/xESYnJ1hYWPy1v/7oXf/qTz/5iH9qISRONI8d87h+T49Eu2gtSbQg0aC1gzEKa6yAEAlCGI4tT/Erfy74tX92gRv2hLTq0zTrLdoNn1bDZbKtuLCsmF91+MJ9NW6/N+bSnQOuuDhmZXXIlTsDvvfVmihWCAyf/FqNhU6NehJw4ryi329x3SUJC92Y/QddLtspOXwObr0cOj0ItYPvhMw24dDZOo16hK9iJlqCtR7cfGWPo2d8LtutOX4u4Kmj9ve5O0ccvWCYaAWsdEM+9YUGRiiSJOEl1w+47QbD/JrLDXtH7N3mEkdtBsM6+4/VmF8SLK4mLKzGXFjRnFoRXOiHXH/ZMv/h+/vMtac4eX6SC8t1FtdcljuS1U5CpxfR6SesDQyrA1gYSnqDkJuv6bF1YtnprLRfvHTqA4j6/G2bd79cT0y2fvH+ez/BLS94/bMNmQ1v/yAZ/I/+9MPMzm1W58+c/A9nz134xUefPKFOXgi5MHCYHyZcu3uBd/7kAtfvbXJheYrlToOVTo2VjstK12G1B6udhNVuzEovZqkDp1cFTn3EbVev8N0vDtmzqclav83CSp3FFY+ljmClo1nuaFZ7mu5Q0w0Mg1HMTDti12YNCHzXcGbBRUif3ZsUe7YZtm0acGE14PHDLW681NCor/LkkWlazZAwdJmZ0gxHcOWuEX/xpUku3xkTBIbZCUmUDGnVfJ46MaLuNrn+spgnjoVcWPbYPuOzZyvs2hKiVMSZJfBcgxCG3ZtjplqS3tCnP3DpDlxWuoqVNVjuaFY6CUudhPkOLI8Sdm3v890vWeK2KxxqbpvzS22WVmssrTmsdAWrHc1aL2K1l7DWNyz3Yb6nuLAW87zL53nHTy5x6fYmK902S6sNlrtTuI2Lk1Z786/tvXjbr547v5TceOsbn23orLv9gwL4wUMHqddr9TNnzuy67/59bz1x6vx/PnHyLJGWdAewMhAsDBTnehHPvfgC/+0nV7ju4joLq1MsrzVY7dZY6bqsdh1Wu9DpadZ6Mau9mJWu4UJHcK5vQPR54ws7vPZ5mou31gjDBqudGmt9j05PsdoX9AaCUWAIY0OSgJIG34W6b5hsGzZNRzjuiKPnQ/Yd8dFxk1ffHOK4azy8f4KLtsJnHoh54TU+C50hNUcRJxHTUxBHLo4bs7zc4AU3dPnMfS32bIWHDge4NHjV8zSxGLLvaMLxMzUc6bF5ymGqKaj7As8TKAGxhjAyjELoDQxrfU1voFkbaJb7hmGSsHvHgNfe0uGNzw9Bt1hem2Bhpc5yRgYdWOsldPoxaym4VwZwvqtY7CY897ILvOMnF7hqd52l1UlWew3WejXWei79gWFiajuN9pb/d3L2yr/etn37qSAYDS+99PJnG0r57R8MwOfPHmLzpjnvwMEjP/z0gSPvuve+R8XSSl9GCYwCQ3+k6Q5hbShZGErO9yKed8kCv/Fjy9xwSY2ltUmW15qsdn3Weh6rPYe1nqDTM3bJ7cV0+prVvmGhJzjf0UxNDvi25/a49YqY3ZsV7bpLt1fDdyWgCGOJ1gJtYDAChGaqNeLwWYM2IXc81CQY1Llku8dt1w6I9Bp3PzLJ9Ze6HJ7v01ltc8u1A77wsM/macP+k4Z//oYu+0/4bJ6W3PmI4rYrFSuDLsdOT3P9ZSF37xsSBw1uvcpj784Rw7jP5x9WkAiOnnFoNxwcAYOhRBtBog1RDEiN42k6fUOzFbFza8DzrxzwbTfGzDRrXFiZYHmtzmrXHpvVrqDTh04vptOP6fQTOgPDykAy3xMs9WJuvnyRX/uxRa7bU2NxbYK1XoNu36fT9+gPHQYjSRBCpOt6+66rzY7de3/6oosuef/KylJ47dX/MED+DwLgSRLJKBy+bt/Dt1/SH8bv+Nr9j7irXcFgpBkGmmGQMBhq+oGhNxR0hoKFoeRcJ+bWKxd4+48tcuNej7XuBIurLTr9Gms9j7W+Q6en6Ayg1zd0BzHdfkJ/qOkMDIt9wWIfoiTgukuHbJlO6A8Mr7kl4KItmjiRONIQRnDX4zVOLdTYOhXz5NEa6AZX7FDccLnGrw14+PCAxaUmV1/UpD25yn1PuNx0aY3lwRqrq222bDE8sF/x/S/r8+B+hx2bXJb6HVZXprnhygH3PZkwXZ/k6kv6LHQ6PPD0JHWnyXMvN1y2awSyz+PHBZumIy4sRtz9uMsoUkgJiTZctDXk224J6fUV26Y0N1wKYdhgpdNgpeOz1nfpDhSdvqTbh+4godtP6A0SugPN2sCwMpSc7Qo6w4DbLlvkV390ledeai+OTq9Od+DTG7h0Bw6DkaI/kgxGgm4vYWkt5LrnPDdCOP/u+7/79UdazfqnXM/Vzza2nvUgczAYMByMfvD40UffefbM4emV5VXqviROJEJIGyhiEIAQ2j4XBikNUjo8eGgzv/BehzfctsL3vGyFPdtD5pfb+F6duu/R8F2adYdeXdIaukw0HQajhP4wYXOgGQaG3shnZbHGmdOGMNacnY/xfQMIPGVwpGAwVAhc4oHDcy4S7N1m2LV9QJD0+OyDigNHpnjljT43XLnKn3zW4IkGF20f8MR9iu2Titn2gJqqE0YuCz1o1hx2bBY8diDkhsvqvPj6Jf7400M8t8Urbja4/oAvPhDymfubPH28zsXbGly0NWFuKmTPbMQ1FyUopXGUAQwN32du0ieMXHoDjycPu/RHDoOhBWJ/CP2RoT+w3703TOgPDd2hYW0IiwPFhVVDY6LDz7x6ke+8LeC6i5ucX2rT6dfopeDuDRX9oWIwkvRHgsHIMAwNiRZ85asPujMzs++87/4HV170guf9q+Fw8Mf1euN/X4AHowEI8aPHDj3w9qce+9J0OFxDCAfPVdR9Y+02FEJkjggW3EKjpEHJBE9Knjg8x6OHmhw+t8Abnt/n+VeNmGy1Wek0aHZrtIce/YFjT85IMhw5DAKHUWAYhZowMkSRIU7sPYw9jAapBK4jqHmCyZZgqgVbZjU7Ng+YnerwuYfhnkddpJ7glTe6POeKHvc+HRGO2tz2HEFnOGRhucmtl2lmJwfUHZ9RrFjsRigteM5lDo1WwCMHa7zohgluua7HIwcVmAluvMrjn33HCl94LOTOB5vsP1Vj15xiy3SdqVaDiRbUfXAdg5KgDew/LkgSQRQLwhiCyMq7UZAwDDSjQDMYaQaBpj+EbgCLfclCDwI94uXXr/C653f4vldo4rjN/FKTbr9Gb+jRH7r0h4reUDEYCQYjwTAwDEaaUZAQJwat4czZeT78sc9Nh2HyX1/1ihc5/f7gvc3mswfyZw3gUbCEVNE/mz95z9svnLxrky8HuA1FFBuM0RgjsQpKIIRCCIGUpOAGpQyOMrhKU3cFS4M6H/jSDr74aJcXXrPG216+xjV7+sxMNlhea9Ab+gyGbgpsZe+hIIgkUSyIY7vUZxajkgbHgZoHjbpmuhWxfdOAmD6Hz0Z88O4ax043mfTr3HSVw63XdnngUIc7vtbm5ktr7No64C++JFDCp92KWOsHaANKwFx7QLfnoeM6r3vhAh/4TIO9F2q89uYBYbTM3ftmiJIaz7tqE6+9qculOzt88ZEBT5xu8Phxjx3Tkum2oOELPNdehDK9+LUBrQ1RnF6skSGI7IU8CmEYQm8kWA0EKz0QzojrL1/jbd+2xguvSphp11ntNuj06vQGPv2Ra/V2Sg6DQDIcwSC7cEYJo0AThIYogcQoTp1d448/eMemxZ55+3e+9oXm7IW1P9q+efJ/D4C/4Wf/iDe9tMav/MHnfuhNt51/xxbvqdmWFyEn6gShYRTa8hjL1iCESO8SJR2kTFBKpMuzxlUG3zHUHcHqSLHcmeJDdzW5/8k+t123xttescb1ezvMJHXi2GcwqtEfugwDhzBSRLGVQ4kWaCMQGKQw+J6mUYvxvRDPDTi7HPDphyRHzngcPzOF0j57t3pcuUdx4xVdlL/IvqMttk82uPpi2DK3ykq3zTXbJbE2fO5Bn2AgmWzGvOp5Iz51d8Sp+RaXX+Jyfm3EU8dcdm6e4ro9i9z7RI/7nhIEoccVe6a5YqfPFTt6HD2/wpGz8OCBBoePNWk4At+RNH1DzQUpLSUYYy/WOIEwhjAR9ANBdyToRhDqGG1GPPfSLm/7ti4vvCZh67TPaDTBcqdGr+/TH3kMhg79kWIwUgwDwXAkGQa2b3QUJIzCdGUI7QUUhIYghlGoOL3cZf8ff3nTUufoO378dTp+6rE/+pOr9swjJn/hHy/AF0/+d+Z2zzAzsfh9Tx48/NtXTj40eemtikF7BuUIHOXZZl5pkFIhBUgpkFKilMBRKn3UOCrBdQSeo/Fcg+8aGl7CZE3QC1xWu1N85J42X3p8xOapAW99SYcrdo4YDftcvcewc4siiFySRJFoicnALTWuk3DyguH4vGBtqPnEvQ3OLk1hQpepmmLbjMPuLQ4Xb4er93bRcol3f6rJysoEN1/hcPXeDl98XCBil01TkmYjZhB5SCPBSJTj0RkJLqwIrjINXnJjj68+UmfbrMfNV0/zI9+xxPs/0+PBg036I5fltRZ7ttW5fOuA513W400v6nFuZYVP3OuzPPA5ed7l7FkPV9ljJRBoY0g0RNqQxJqpmYhrrxoQBBFX7Ax480sCNk0opls+UVTj/GKNwdBjENhVbpgDW1pwB4JRgF0JgsQCOkgsuCNDEBqGIQwjwSAUrEUup4+v8PCDT82aV0799rbZKyMm/vov/9Xb38M7f+HH/vEB3Oh3gniJML3PvOXjd55+Ty041Lh+7xDHqdOojTAGJCCFQUiDEsZKEimREpSUOErgqPTREbhOgucIPFdTcw31yNAIDRO1hKm6YBBKemGT42ea/MZfToOOEXHMjdcO2LMlJI5BG40xNokjhUAqgeN6HDzlsf9IjWbNoeVJZhuCuRnJpmmHbXOK3VsTLt+9RiKW+Z2Ptjl5apKbL3O54qKEYdzja/t8JusuMxOGyVZIo26lkNaSzkix0jcsdxI6/TovuHqNh/YPOHBKMdmu8byrJvmx1y3zux+DR4406Q8Naz2HCytttsw22DQ1YvfMiH/zlgHtRocnjsPB0xLXNShlEEIDxv7PQBzDRVsSbrsmJolcotjHmAaj0GV+yWMY2BVtFKpcvg1DwSgQjELL2nZ1TQgCTRBqRpFO38sAXoC7EwpWQoCEJ44a3v/xw5MLg4n37D//0/GXl3/0Q9/xLybNp3/nrf94AP5rv/v73PS2HerXf/QLb7x6x4k/aYsnatde5CEdg3JHNOouxpC7I0ppHOmilEFJhVIq1dsS17Ga03MVgSsJQo0fJgSRoR5pgkgThoZ2DEGkCWIIY8EokgSJT5TUOHCkyeMHIDEGC22rjV0JnrI1Hy0frt4K7TpMNCVTLcXMpMOmadi1JWDr3BqRWeF3PjrB0WMT3HCx4uIdkr07VvnyUzEXlie4cY9kqq2peUN86WOUsO6QMcRJyGq/xoVllxuuqPOcy3rc+0iNzVOCRq3FDZdpfuaNy/z2xzRPnW2x1tes9RSLqw6zk02m2nWm2hO0GxFzzYjdN4T4bozrxCiVIIUNJgz2oooixcKiQxQrolgRRoogSh9DSRBJglAyCiVBKGyAGgorO0J7XIMwIQxTTR/Z90chjCLBKIJBJOiGgtVQ0g8jRDLEaM3Bsx5PHzrY8Cbbf/KfXvM7+qd/MPno0Z/678klV/8/3/oA/ze/8UFGSUvddsWFN7/7I6t/POicrR0+tY0DRxX/5OU9/tNPdLhyRx+JZW4LcBeltH2UBlcZXEfhOgY3lHiusCfBFQSeIows0KPIEMaJdUXi0j2BODEkiSbRWL2tycEtBCgJjgTXBd8R1HxBw5c0G4qJhmRqQrBpOmb3lgGt5hof/WrI3fumWVtqc+0uxe6tLpfuHJGINT73YIOm6zA3pWg1Ruw7Ck8fc7hmp2EQKK67NOLavYb58wmLqx7DUYNX39TjK08MOXxW0axLfK/NNRdrfvWHlrnrqSGfumuW5a5h96aE1Y7DZFsx0XRpNVyadUPN1/iexncSHGWllkxbK43BJqy0INaSOBHEsSCKJWEsiCJJEFnnJYwEYWQIQwiihDDShCXiCKLy3YJ7mIE7kqxFMAxCZNTnORet8Ss/scJ3vizg6aMe+47cXbv28qv/bPHYFf90ur3tw4vH35PM7fn7lSt/7wDfORHLwWjxe06dPP/7X7x/uTaMLyIRCbQjPnmvTxgo3vyyHm95WZ+pdkxPJjjST3W21cOu4+BGDr6jGLmWaQJXEnqCMBL25ESKKIYwktZBiAvbL040SWLdhcSkTklekCVSCWRlj+cIfE9S8yXNuqDdMEy2NJunA+amesRmjQ99RfL+z8ywqVbj2l2CXVtdLtqm2b11lY9+zbCyUuOKLYqpNrQaERdOSBZWfbw9EESCuQnJ5CQcPm5Y7Wrml2pcelGNl93Y49P31Jhpge95KDnJNXsFP/7aBVy5wCfvneLpszU2dyM2TcZMNBWtuqJRl9R9B98D3wXHsQ6TFCBFCeTYCzvRkCSCOCEFOkSJIYwhihJLCpEmzB4jndqOmSuTWpCxYBgJ+pGgGwt6oSEMQib8Lt/9qmXe8rIer7xR01ttsXtGcdGsw1rvVG11ZfY9oZl2NK2/wvLMtybAP/SRT5Ak+ofuvu/J/3bh9Kn2rlmHtVDSi1yGiUesfD73oMfXnmpwfmWZf/6mIdPtmJFfpzuo4SgP13FxHRcvTAhdBy+00iSMbCrdMo6wTJSyUhxjLavEOglam7Ta0GQ9nCm4LcBt4CpwHQuQmg+NmqZVj5lsxcxNDpmdWuOrB0L+7I46B49PctGEy94tsGOLx47NcPmuLoO4ywP729SVy9yUYrIFk62AqYkYz3MQwl5cw8BjpRuxNjB0+jELqx67trS45YoF7nhwwMGzbRp+hKs8hJhg73bFD7xiiedevsCf3dHigScnWe47bGrHTDZiGjVJvabwXYHvSlzXxipKkdqHFuUG28OqNTnQ40Snq1tqLcaaOLHgjiMIY1PcI+vKjGJLKoMM2DGMRjE6GjHT6PLT37XMv/7eAY2aS6fXJIw8gsglCD0GI5+17oV2rNq/05i6xrvvK7e//7YXfvu3HsA7ax2kkj/6gb/+2NvPnzs7064LhDA4QlOTgl4s6EuXkVKsBS7/7a9d9h9d5XUv6vOS63tsng3pdesMAx/PjfE9lyB08D1r72UAjyJJGNtlN4pTTzshtf5ImVuiDQW4bZIyZW5wlE2YeK6h5mnqtZhWLWaqHbB1tsuFzoB3fcLlcw9Ns7La5JI5wa5Ngu2bPHZsEuzZNsLx1vjA3Q7HTje5bLNkqiWZaCZIGXB20eA7EinAGEEYOeze1OVBEroDxWrXcGGlzmU7arzpJR0+/EWPExd8XCdCCBdtmkSx5MY9q+z+3i6fe2TAX3xumodPNNk+JZhtJjRrCTVP4LsCz7WxiqOwgbMUeU2GwV5k2mCdljRBk4E8Tqyks2CHMLG1LmGWPIoFwxh6saQXwzDUJIOAHbNdXnzDGq9/8YDXPDfBEQ1WV2tEsUcYuowilyB0GYysU7PanZ/Z6l/8jltf9DrV73ff22y2v3UAvrLaQTruj3zpy/e8/dHHn9oE4DuSxLWRvRQGVwl8KejHkr6s0QkdPvDlGnc90eOGK7p87ysGvPbmDjOTPsORzzDw8F2XMHYJIycPlOJYESWSOJZEiSCOJUki0hrxVGtrQa5KjGVuKWyySKXJIs/V+F5C3Y9p1QNmJ/sMoyFf3Gf44JcneODJSaY8l2u2G7ZOSzbPeGybk+zYHHLx9lWeODHkE1+ZY0I5zE0I2k1BuxHRGSR85ms1Wp5BCAusYeDwutsCbr/f1sR0+pqFVYcdm1q84fl9HjjQY/9hj6Yfo6SwINcNRqHV+j/wsg6XbV3gA3d1ue/pSU6t1tnSFkzUDA1PU3M0nguOEihJmiCz3zsrP9KpVNO6WOHiFOiWICBKBFGSAjsRjGLBIBb0E2zME4Y06wPe8MoVvvcVXW64LGHztMNw2KLb9wgjjzCy5yuIHEaByyiw584YOHd6/6aDT869/errbtODfud9jeY3f6zcNxXgC0trDPp9jOEHP/P5u3/z9s9+YabT6QB2uXRd0Fg/UEXgCPAU1GLoSZeBqzjT9Th3f4P79/X58LU93vyyIa+6bcT0pEcY+ASxSxi5RLFDlAI9ThRxkiZskgLg2qTMrYuaMiFMGlTaOg7H0Xhugu9F1P2QVn1IwpAvPCL5yy9N8uTxCUTkc9GUYeukYXZSMTftsWVWsm0uYteWLqcXe/zBp5rEQZ0dOwSTLYd2E9qNCOGGdIdNJlsGIQTGQBRLpn1FrGN6kUdvkLDaVZxdrHPVxS1+4p+s8Y6/8jm52MRRUXphOMRxjVEo2TLjc+MlXa69uM9TJ8/ywS/XuePhSc516jR9RcuDpmvwHIOrwJE2nS9EtbpOA0bbiy7RgsRAnNjmkSgRhIlNEg0TwTCBYWyI4xgdBczUhrz65Wu89eU9XnhNxETdIYybrHZ8gtAjip0U3IowckqP9hwJIQiDFY7s/9KmRs385u5LnhcvL53903argetP/cMEeK83pNVsvv6OLz34ux/5+J3tYNjFcxVag6MMnhGADX6USNPhicGVAk9p6olgoHwGsctCUOOT9ze5+8kBz7uzz7/4rh5X7uqyaVLRbjiWHWKXOC5AnmQA1xJtJMZYSVB0+KSpfmVsEOvE+F6Mq0K6w4jFbsRvfbTG8YUpHtk/idEeM3XBplnD7IRgpq2YmXTZPCPZMhOzfW7AzOQqn3tU8/DTk1y7QzDVkrQaknZD06yHCDfA9x0cZf++MZAkkmHgMBxFxFrQG2p6fcNK12V+uc2tl/e55ao1PnBnjfqKwpGRBaRxiBOPMJIMA5fZyRrP3dvnuZf0efDF5zi5KPmzOyZZWGtwZtnHU5KmK/AyGSbtsc+JPJMqWCaPjSDWEGlBkMAohlAbSGKII6QK2DY15Nrd9nzcdGVCu+4Qx006PZ8g8ohTYNsV1iGMFVFJTgaxIortOXGUJBh1OHrgzplajd/dtuum1SgafuKbiclvGsCfevoge3ZvUb/1e39xyWP7DrZ73TVaDdfacCoLdAwCkWYojbXlEoGrDF5sqCWChhIMlWDg+AwTl+Wwzh0PT/DVp4c0/YB/+poOO2ZiLto25NarezhC0Wo4CGHlis1K2lppW6yVgpssgWQ9c0MMMuap45KHDjh8+oEWT51qEcYNWo5irm6YbhqmGsb64G2H6QmHmUnBlumYbXNDts6tcveTAe/+9Ca2TjrMtaHdVLSbglYjpu4HfPWQYhQ6uE0LKmMEYSypOYrrLxty/75JW/g0TFjruiyt+VxYmuInXnuBM0vL3P/YHK4ERISGHEBBKOkPHaZaNSbbTW65bMCLrx3wvS9d5MBpze0P1HjgQJ1Dx5rEwiEIFINIoYTMyx8gCzzTnIDRxNpgtMYVCRNeSI2IW27os2friB2zEW97VUDdkzTrLmHYoNPz0pXUSQlHFV57rIgimcZGMn1fpKuEBbmUDmtrPQ499ZX2ytL8Jc+55fvUuTNHkm07vjmd+98UgO9/+ml2bJvz7r//wR+uu8l/i0crTLVdlMz0ntV5UgiksMulkoJYGlRiUDG4UuBqgx8bakrQSASBhlHiMkxcBkmNXi/hNz8whYkjNs+NuGrXiJmJmDe/bMiuTSFRJFK9LaHE3KT6U0qNkIKP3FXniaNNhONw8lyDsxca1OqKCV8w2TS0a5p2DVp1wURD0W4pploOM5MwOxmzeWbE9k1dErPGR77SZthvcukOQ7uhaDUkrbqmVYtx3ZDP3V8jGEjcTTZTm0mUZl3x6ucNuedRTT+Q9IcJ3YHDWs9hfrnBlXtavPmFXR55qsHJlRZKaiBK9bJLlCiCyCZm+iOHTt+jVW/QrAdcuWPEzZePOL3Q4cT5NRw34fFjDh/+cgOhbOEa4/MHjQY0GEMUJuzeHPPWlw2ZbSdcvtuweQaS2CUIW8Sxy2rXJY4UUeKkcZBl6jix4LYxkUxdLVE8T+1JncZHAIHw6J/ugsd/e+rJhwczm/a8/9ChA+Fll13xDwPg8/Nn6KwtXXbq1Ol37Xv8YTnRVLkVZYz1nnUiSKTJnQslDZESOLHViVFicBOIlcBPDDVtiBNBqA1hIgi0JEgkoXaJNCz223z5CY0h4eMPRAiR2JNk7EmC1CxJq7ZsRaJEKkUcOUjt4DqSlg975gxNV9PwNQ0fGr6gWZe06lYOTbQkU22YmYiZmwrYNtcjYZXf+psa9+7bxN4ZmGqk7N2QtOoxjXpIszGkXm/gK4mSqQbHHpcochkNBcMgoRco+iNNb6hty1zT48yFCV5wVcDPvOUC7/yww6k1HyE0xkToxBDFLmEkGQW2jLU1dGjWPBr1Gg2/Qc2PaNVDbrw0xHMjbro05m0vH+CoOE0CaYQwVVGeSjqtbS2+7yrAYxQ4LK86tm4nyWKe9B7LIgaK03tiwZ05WxbUNrmUsXeSgTyVSXEC5+9/RF7ZV+/atDL4ShgGT34zsPn/GeD33f0xJiZU/cSJI288feKImJpwU09akySGRBvLOirrbRTEyqASUAkkyn45J7E/j7OIPkmj+iyy16J4rQWhlsRGkmiHSPskqe1VvuVZSgGOEFYSKajVDTXHUFMJvgu+AzXPUPcFdU/SqEsaNccCvCmYbGmm2zEzkwGbpvts27TMuz+t+Ys7NrNzUjHb0rSbilZD0WxAo57QqkecX9YcPe9T8+wFDVmln2AUOuzZotkyO6I78hiOTMrikrWeQ6teo9WY5G0vX+DY+Xne84ntONLBoEl0QqwNUewQhIphaIuiBjVJY+RQ913qfkKnZ2MMz01swsxNcKRtlJDSpvNFerelK7Y82YJc0EknFtjJBTa+0VoS6yLeseDNAvzseekxFun71pGx57gAeHauoxiGI8N99z8qdl/UfePOXRcd/bO/+PDwB77/zc8uwLdvjr1e/8zPh8NzP+/IoWw3FcPApnwLb1VboEuTgluQKBtgxhqcxPrVSZZ80CZ9bfL3iudFpZy9+kUeKJU1N5Bm8mxg5UiNI0lrWsBVAtcx1jd2BDVfUvMkdV9RryladUmrYZhoJky2YqbbAbNTA3ZtXuaBQwEfuGsbUzWfzS1NuyEsuOuSZk3TrMW0GgEPHITHDzS4ZM6kurdImw8DxU2XGy7dNeTBJycZBIbhKKE/dFKQuzRqdeq1Sb77RSs8fmiB+/dvAaPQOrHlsLEhjkxeTzIMHBojQ72mqHka33PxvQTf0ThOguvY7LBSuqjaFAaEQVDouSI4tyXEOnOkdGa/lqzYDNg6Zef8NTmws7sFswV3dr7j1HOPYmN7bwd9GZlz/2GYNLxao/VrQPisATwMBjKOhr+8+PD7/tWof8arefW0acAmF2xAYVCxbY5NlNXcidL2ACmDo03K9Pbf6IT8eZJl3EyWeTPoNBOXJSuMMZQy75UVN0tVF7IozVgqSkVbNvvne4qar6j7gkZd0Kob2o2EiWbMZCtgZmLItrlV7j845Jf/eDOnzkxy8axmsgHtuqJZVzRr0Kwl1GsRnjuiM7LFYq4ySFl8skRbhotij3Y9YhBrBmmd9WCU0BtIOnVFo+dT81tctCXiV3+4w3/8E8nX9m/GoNBGkySaOIkJY00YKUahYuhL6oGi5kl8z+B7Ct/RuK71+x1l0jqftO4nlSlCmGqDbpraNymJmLSWJUkBn+ji0YJVpo+iAHj6vMzaSboyJ0nJc481UawJooQogUNHznohrX/3S//6Ne6P9Af/b6vZ+Dun8//OAA9HHYwOf+34obv/5fz5szUpHWsFOjZ4yJMpUpBIkbKyBblOwZ2k7+nsuRZobfI0ss49WjDa2C7ytAS0fGcM4EWzRAru9HMoZe0yJ21Fcx2J70k8V1Hz7UiGum9o1jStRkK7ETHRCpluD9k2t8b9Bwb8x/fPcvDUNLunrcPSqkuaDWnZu25o1BIatYgoCfnzO1tIpXClQYnCJtQmW8JdfuCVq3z+4ZBe6DNIAd4fKnp9Rcd3qHk+vtvm8p0x//mfLfNL7xfc9+RmtJEk2qbVo9gWmgWhJqjZclffF9Rcge/ZzKbnmDxj6yiNVDbYl2lZcg7wIuUJpCSCzSVYtyUN5DMAZzo6T66Rsjv5iltma52BWxerexwbotg+Jgk4ruLk8RO1T3zmrv/7u17/CrGy2v2F6am/W6bz7wzw8+eOYYy+5fTxR+q9QUKc2FoLpQyeW67zsF9MJRboSZ4ezsCdyQ/7ns5rJYr2Kwt0YesoMlBnB37sc2UAz2owskxext6Ok9WdSFxX2voNT1Dz7cyThp/QrFtwt5shk+0hc5MdHjgw4JffN81TJ2fZMSWYaZakSc2hWbP1K/VaTN0Pcd2As8tTuEqgpE5tuSLITBJJHCu2ThniOKIb1dJOGc1wlNAbSeoDRc1z8dwarjPBFTti/vOPLPLv/wjuf3oTiZYW4IkhipOUyTWBr6mFkpGncgnmuuA6VqLZOhVr08rMG08fN8C4lSukSSFEnhzSaXIoyxYnSel9XUjOXH4mJl+Jk6SI0aK8MM7GUY6CJAm5+96H6tdddfEtUv7dd5z4OwH8wfs+TxjEjXu/cqcnkgFKOvZgCHsAMaR+t3VClLTBpF2iLNC1NiQOOdirwDa5A5MB3WRyJHv+DJ9NiuLisg0TIge3kjJtlMjkCdRc8D1NvWao+1Y/N+oR7UbIZHPI7FSHhw+P+KX3TrHv5BzbJhVzTc1EXdCqSRo1RaMuqNfsxWFT/SH37xf0Rx41RXqRWQ2eNSEkWhDFDs2a4tarezzwVJtBZGWKHZOh6PkK31N4rpfq50mu3Kn59R9b4Of+EO7bv4lISyKt02bpogcz8CS+py17u0UdvaOyO6lMKWScTLO8G4E8SwqZDOAp4JPceWHDlVensZTWJieynOA0ef1L9r4t5bAVnUnQ5fbbb/de/epXNj7+yc8MvvOfvPbvH+DHT5xkemb75MP3ffIPMKMXRbFGuLbdSwlA2UNirVaBlKZYtiSWsfMlDbQSG7N2CdA6B3bRFEyqvfOTIWxBkZApuNMiI5UDHFRaMeg64LnYTiAvLbDyE+qpvGjVAyZaQ6ZaXR47EvBL753i8ROb2DLpMNfQTNShWRM064pGXdHI2Tuh5se0GiPuftxjrVNjaqpIk2eA0ak2jRLFphnFy5/T5+6HtO2iCXUJ5JKaK6m5Dq7j4Th1pNRcudPw9h9b4Of+0HDfwU1E2iFKKwBt2atlcj+SeXWh50gcJy3CkgLlZMeG/PNlF2EmVURWlUaREBq/69Kj1qXHfOUtrdamBOwK0Iv3dOpcKikwJmGtO3jR6VMn/+i73/pdP3n+7Om1rdt3/v0CfHX5Ar3O8s+dPHXqezprq0w0FYKsuN4gyvpbQyJtgGF1dnaVC7Qiv+rthKZMhhT+eSWQHGduk11IIgd5lr+QpRpvpYqKQUdh6zMcg+vaxuKap6l5CfVaTKMW0awFtBojpic6PHIo4Of/cJbHjm1m06TLpkbCRMOk4E7Zuyap+5b9a35Mww+JdUAv9BFK4mYMnmtwkbJbWiAWuTS9kS0XCGtMZSAfJQw8y+C+J21NvJNtQGu45iLDO37yAv/29zX3HdhMpB2CRBAmOmVxQS3S+K7Bc23vqpPGHY6yJcJKyvT4pF352WOpMCu/MMuxzhi4cxIqEVMZ3EVclYI8lSJZCXOiTQkL9u/I9KwuLy9z+vSp73ni8ceORlH07/9eGXxl6SxTM9t2f+6Tf3xtMjpPqyFwnTQizw6EtMDW0gaNUguUNnnmyhb1lL5QGqSYLJg0RSBWMEWRlTTlNTNj7XJQmS23aYeOSoMpx0k7g9IipKx6sOYmqW6OqNcCptoDJpo97t8f8wvvnuXRY5uZm3CYqydM1AytFNz1mrUTM3DX/YSaF9Nuhuw/YbjrkSaelLhKp0Fc4VFky3eUKGLt8JIbIy65uM/RU3XmGqRd6rZzfTBKWdhROI6bzoOx3vXVu+HXf3yJf/+Hmq88NccoqttkWGxopDXcvosFuZOtXjrvbZUqyVc4JUUJ4KIEctbplQLkpgrwvEKxWHk3WpkrRkLlYijOb1ZajJEcOnIGz3/w2p/6v3509/GTZ07u2b3jmw/w1ZXz+LWJi04cuf9/KJZf3/B7OGmNs5QmL94pgzOzknQG6iSTI2Ldkpb5wyb3tMdcknVuScrc4+AWBqmKbKmS6fyUlLk9R+O6Gt/V+F5MzYup+SGNWsD0xIDV3oB7noRf/8stPHFkltkU3JN1Q6suaNZE7pVb50Vb9vYswOt+QJgkjIY1aspeZFKUln4yzSrSQNOxWt4JbGd6JEoA13heguc6uK60UwWkmwMcAdftEfz6T67ym38Vc9+BGc512oyaksnE0IoNtXTigO+a1PvPnBSTs3cmVTKA5583/dBlnOcKMT0p2apagLsqKW01ZxnIZaAXTF5eEbKSZiEMMoH+hR6tyeXXf+mu+5Ln3/Kc//v06XMndu7c9s0F+LB7nGhUv7mz9PQbw/4BptoeBl25uI0pkgRaF2DOrSQlckliQS3SpS1L2FSlSBng2SEuq8J8bgrlYCkrBzCl4UC2LNZ1dDpmIsnB7XspuKf7LK4OefufN/jE1+ZY6k8xNyGZq6Xgrlnd3UgDy7ovafgmZXCrvWt+CIR86TGP1chjxqdSj42orlBJYpsf2r7Dy24YcP/BkF7kM5F3rGu8wNaqe44FuKMMSroIaRM0GLhip+Sd/6LL7fcP+bX3bebM0hTDSYdJT9CKNY0Y/MiOXvaUHWjkZoGmFHkQnD2WA/XyhSlE3iuSnx8Yk5BlYJfipzKgy3mMyntlYitfVEZy38OHmJ7Z9MZavfnn/f7wxDeVwZOoj3Qal67Nf/FnZfg1Zibj3OM0WRIgA3auo0UOZJsFsz/PtXYO6uzCMIUNNc7aZVmSHuiMWbJ0c+YCqAzgyuBIC2zb22n7Oz03wXNjal6E70W06kMcZ8Ddjyf80WfafPreTYS6zaa2YLZmZYm1ADOfXKV3kTJ3mb0jHCfgq09PMggdtjayzzPO4JmVZivsaq7iliuHxNoCfBgJ27Weda4H2gaHTjobJrX3spmNBsHspOB7Xtqn5Z/jfZ8Zcs/TM8xHdQY1STs2NB1jQe6kcYgyaVxiUpBnx1AUteMSJAWLj+8omEuVbEQFVSYux1EFkxeMnpgq0A3VoNXkSgCCyOWjX3yaPZdf8bPf//rnP7raHRyean/jkXDfEOB3PXAEOfwAsZne5sRPvbhdO4UjpgiiJC1PtSfKZIBOGwzyFG/G5CXQV+RIxvqkyYQKsEvWQ9m+EmZMmmRZOVsxaEe76bTmOwW3srUYvhvheRE1N6TRGOF5A/7yDoff+NNNHF2cxvVrbGkJpv2Etm9o+tBMO+zrvs121tKEkK1fSdKVwMqTpW5CP/TwlMKTJg8wKX2V7DhltRth7FJ3R2yZHLI2aDGMRDpuzcYKrpukNp9K7U5lAV4JXG3l4+tf2Oemqxb59T8b8Refm2MlbjLwXZqupO3YGhzfsY0mWTOEkyV90pVP5lKlSACVSaUqVspAZ8MVOAetrgK+LE8LsItCyhib9YwSwSB2mF/o8rEvPfXihc5o28lzvcPGPIUQV/9/A3icJHzh6e+8SEb3v3uruo/t0yFCDnGUbR/Lumi0lgVrV8AtikBSiwrLG1MEmAZRkiRiTJpk4DYFm8hsEGcJ4NKgpLa15k7RlW9BHuM5VpL4XoDvDjlxIeY9tzf52FdmOHZhinbDZboGU35Cyzdp6j0Dt0zBLfOkUC3V3r5nL5x2M+CjX3U4fLJOLZ3AlbeLUaC8vMIliSSKHa7YDd9xU48/+uwM/YZDO5094odp3KA0jiPTsXWUQO6WKNWSza5ZyS98/4Br95zhDz89zbH5CVbiOgPXoakEjRTonjT2wkldpnz1y45rZh9i9XmR6TTrffKMmLLSidw338BW1GMgzy54U3jrWVY00oJhLOjEgmFkOHrkPn7xx7a9+zlXXf8aTOcbSpWvC/AkipCOwwc+/dCOT37p6N5GMuS3/0VAM3GsHFCaKHaKLpqUzXVacmnK4M6LdzL2FvkSlOn3jAUKVsho21R0YAZs+5iNerPgtq5Jxt4JrhPbzh0nxvcDPCegl4S860Me77t9C2eXJ9GqzvSEYtozTHiaRsrcjTx9L9M6lVSapN55Dm7PZi+DKOTwGZ9+6DPlpy5OlnTKXIksC2tKNSmRQ7vpsGdHiPJH9MIWQ09QT0eieU42PsNKFCdzPYR6huBVMTcx4CdeP+CNL5nnfbd3ec9HZlgaNhk6NWqOouEI6srW33tpt4+SIs1ukq6GZmMmZwO5Mu6wMMbkaXKo7I7psXue6jfWWo40DBNBPxGMohhMn+976Skubj+8N+5O7HDaLzoRhTGu98ww/roAP3higZnJ5txky/vQ7V8+7G6fneXhQ2d53uUDtBFIYeuKk6xdzIwxeZmxc3lSAnYK+IKxBWbDT2JKdqDJgV2RJzKtklOJBbiT4KgEz42oeSGeG9IZhXz1Cclf3tHmI1+ZYZS08DyPGU8w6WmanqHhGxpeAe6aL/F9iZ9KE5sYSp2JFOCeazOfx88b7nm4QRi5+E2zLsDMbkU62xJBGClc1+HlN/X4wBf6HDzTZFizoxkC1+DF4EYaN9QoJa1vLQVSyGK4D8XxTLQk1pKG77B5csi//e4BV+4K+Is7Wjy0f4LFYZOR8nBdh5ojqEvwswFLmb0qswYVSiCv1qyMF2eVGT0jqHFHLHtdBJgFe2f5kMhY5h5pGCSCKIlhOOS2K1d5yXOgt7TPlY1v/5AI156j4+7i35nBr7wE+diBJ2/+/Q9+baLbCzgXuzx9RvH85wR4gbJAizWxVCRK5XXDWpcY3KyXJfk9A3YqUcoMXin8sT06lsnzlLLOyz2t7jY4KrEAV0kuRxwnotOPuPdJwR9/ts0dj0yw0mkh6zVadcWka2h7moZraHiGukfK2pa5676k5ilqnqDmkVbo6RTcGt+1+ls5AYfOwNlOzSZWUn1bTZwU9TO2D9KCPNaSMHTY3BZcunPIvlMxg8glSGd8eyEWfCqbrJslakCOdebksU5qQ0aJrQ9/68uHvOp5q3zx0R5/8rk2D+1vs9xr0JEefc/BUwJPCnyJ7eGUBkdkcU2auBNp2e8GDL6ufmWcyUuEphmTJ2Rl0oLYQGgg0LbZResYkgDCIVftDNi9RaNEj+6Fv5l46uTrb14YPuezfJ3hQV8X4EurS76S+vePnjrYDIMRshailAEV4zohNtOlkdIh0Qlaq3QGycYAJ2V1oArw0gGp8EJFmhjKBfpWluhUc2uUTOxA/MzNkBGLvZi7H3b4zL0tPnHPBAvdJqJWw225tB2YcG0nT90llR1Q90R6l2nJaaq7PYGfsXcGcCfG82JqXogxEV96xOfk+Tqz0wJX6mI67gZsl5efppJiGLjs3ix4+Q0DPva1kH7kMowENdf2q3rpZKlilVK5X42QFZli77JoVNDWb6/7AW996ZBvu2mZj3+lx+33Nrj7iRYLnQZD4TH0HBxX4QhhWwilxBUmlVoGhShJw6p9uAGZV1ywgrlF7pYkxlYnJgbilLXj9HliskKWEHQAOiZJDEbETLS6HD73dJPa635/U/PklcDw7wTwv/7kERZX+hzeP4QoxMSxlRTCoGSMUVamxFKjtLQAN5mjInNpYvIOd1nyy0W+jJl1wkRUA8oSsIXQqR2oESnAHSfBcyJqtYhRkHDwLJw4p/jgnRN89qE2C6tNcGs4bZeGkrRcQ8vR1F1D3YWaa8Fdc+1MQltmKkt3kf7cpCDXOcg917anHT2n2XfcB9dNl3lTStGLCgrKQZitlxbEiR3nfM2egKt29DlwtsGwJmjEAj8yBIrU2tMpe2duSmZBFlol99mzmEirdPqAyyh0qdcDfujVAa+7dY3PP9znr7/Q4MS5GgfONgjXfGLfYeQ4SCVtOh9w0seMyXPpQhH8r7uZwjXKQK1JS24NJGTSJHvUdjiT0WBiSCL7qCMwiQ16vRi3rtk1t8yyPjg5t/N7vm84Mn9Ur230Ab4OwEe9UyIIhj/74b/5w9kf+Y5FvrYfzl0Q1Bsa6gY3jBGhIdEJUicpc6vU85Y5i5RZPGNtKuAuXfIVRjAlzWeTGlaS6HSXhwTft5NU4yRhfhnu/LLD0TN17nqgztnVOkfPNcH3UQ2HmqNoOoamo62L4NrB+TXXjmuzIM7uMr2rFOCkmjsFt5vgu5a97YUVcnwR9p9o4MqqPZhLFIp68MJNSJ0UnfY1xi5X7R5y6aYBTx6LGcQurUgQOODFdiagKgFcSoGQssLkULXgchmUyLyPMkpcAtejXQ/5gVcGvPDaLmdXu3zpQY9jp30+/0iDc8s1kqGLlg6RpxBS2pUi7cq3o64zuSLGJGUJ42MBZ6HJM7clBTRZP21imdskKbgTO4dvaBgM7OSyB5+WfO0pn25wbPL739L7GdcN37ceRd8A4Cr8IHXi73ndrU813/DCVU4sGB495BGNJHfcVWfXbMwlu2N8k6CjOAW2bUq1oJY5wE3a50dplEPRXjYeWJpSxF6wdi5FVILrJ0SJ4dhpwb5jijsfaPDkcY+nj9fpBj5B6IProdouvhI0FDQcTb3kA/tOVqeRlc3aunA/lSWep/A8mV4AptDebmIzi67V+TUvwuiQCyuSwPg4jsSTBqdks40ReA7yxFT7HcPYReAwNx0i1Yh+5DJwhHU6oqJgzFG6koGUohTFZsOOEBgtCyYvDUZyE5WPnxgEHlumQnZtjrjx4oBhOOSfHu/w5AmPO++vse94jWOnakSxAl9hpAIhSWQpG5QnKTbQKhVxXsrFmxTuxgClhnGdgtxoiDQOCXsvitg1G+PWDL/4exM8dsDn6PkWNf8cR+Y/gOOoZ4LxxgB/6rE7OXluQW1t3S5ajSGeCzfOxBw94/Jv3jkBseCi3THXXBHxypsCXnZ9CCbBdTX1ZphOkpKgBXFkgZ4FkhUGL1/yxgKadH6J6xgQGiENUWgYjCyjnzgj+as7fAaR4rGnaxw57bPU9wgSDxwPlItqKzwpqCtoKENNYceZqbTwSFnW9lxhkx5lcLsSL5Ulvge+R+qa2JS562g8N04zohH1WsjCasKd97Xo9HymJgRO6sVnRV/imZhNlwJCLQkCxeyM4lW3jvj8Q0NOdZoMXWlligNubHCjzLNOPXaZWLuQ8qwTmf8NbZzS37BA9xJF4ihi1459iCLXWqluRNOLeOE1MbdcGfCGF484dFry+H6XYaj4izsbHJ93QUgGQ4ckVFn5JsbJAD5mGZXTtxWAA2hEbBA63YTAGOqNGNe1u+m97IYRr7wp4OorIvbsTiAW/Ot3tnn0gA+uYhTF3LfvlPjxNzxP/c3HPxe/6Ttf/bcDuBAQJnPvOnmmed3mKRfXCzh8XvJ7H2py/IwHruDkqsd9++BDdybMTSUYo7nhsoi3vmJkOzUSmJvQXH9NSLOWrkJG5Dmw9edc5MN5OgPB4084LHcl9Zrkgf0un/pKjVGkGEWK8/MeWjhExkULFxwH4Ts4UuIpQU0aaimwfWXwlbE14E7q+ToFc3tZX2YObpX2aIqcvT1X43lZgVaSs7fnRSgV8uVHFR/7WgvlOdZuq+jvZ2bwzAtPkszxUIxGLq+7bcgnvtrlL740QT+u0Ux1uJvp8ChLypi8W0gImQPM/ilZ0volgGvL5LFjmdx1FLHj4MSJBbpKUMoO0p+qxdx2ecytl0cYEfDmlw4YRXac2ye/4vPgfo+6L1jqKh5/0qM7kKlKEjyjKM93nrCtgdc/J2J2MrG14Ynhra8Ycv2lEcbA3FTC9JTGTVdDPPipNw94/Mk6R5Ygli4Npa7buWnyXcbwE38rBjd6FcRke+nkX10+0j3luTHdUPPRLzS470AN6g4oiUYQGLiwBhdW7Qc/dMrwqS/bpcYkhokpzc3XhbTqtiZ4w/Rk+VJPXYe1vuKhfR7djkI60s5EMY5lJuFg5wI7IB2klLhSWDBLgy81nrRA8BR4qpjRZ0EuioYHxzYCZI3HZXBbhk/Lat2MwZPSPcZ3IowJObvkEQY1/AmJl6a9VVqVV8liivz8VqzTvDtdK8LIZaql2Dkb4okRw9hnGAvqjh2CmdWQZAktJcvlrTL/W/ZvZMk2XWRPddrwXZJGcZykeQOVzmWPieIEFdlcgqMSpIzZMavTFUNz5a4RoRkiHU2nI3hon8PaQKJyxVINqitnOi3daNY0t1wXMTGlMbH9zA0pcESW2VaY2CFOf4sTa267IuQ7X9HjfR/zWI0Tzq/G6sDp4eW/8M+/s312od/dvqn59QGug7MIeeEdSfC1lybmOI8egU/d2+J3/maKfuhZlLDBumsMMYZOpq2UobtmOP/lZukrbgTwsn5LT44Q6GzLBdKaU6GKIEfK1MrKQJ2mnSXpxq2Zb1x6dNJOekW69R45uG1bl8JLwe055CWmlsFTFnc0Xpoddd0I3484vaT5s883wfHsjEVZSvBUwFclsoxdsyGhFmw2hgkjl7e9asjH7x7y9IUW/cSlEdtNaW0VYDYdDITKcgLlYC8rXcykkCwVeGV3ndfCOI7CTey8FDcFupJF0szWjafP0+SelAmOMAiTMNvQfPsLNIgklZmAyPbP2OCc5zVGArRCR04uX5NYEBtZFANkv07YBuWaE/PLP9Jjbtrw8a9EnDw95MF9T7700f3XvyOK4p/6hgz+6S9+BKWE9zefmefEmRYnFmocPlkn8VxbnSPUxgDPU1klraWMHZlcPqvr8J2xWwbwavAipMxb0JQAV9i0si9staAr7WtHktZUpN3jWSGRQ2kOCunObEVXfQFwmcsW3zN5S5vn6dLgnBg3ZW/PiZAy5OS8YLFbQzgOvqQiT2T5a5VOd1k6VICXOh1h7DLTDti9ZciB+YBh4jBKwE8EbmJw41SHx+TOUpFCV5VOhSy2s7Zt1kUjStJI4ySaREmUk21frtJitQSpdLpS6MKaTUEusr+NnZIlpMldrwzomQNW/v4ZwDMQF/VHpQuz1CqX/R4hDEns4jox//r7R7zpRSHHzi8xivs89IDw7OZb3wDgP/8HXYQQnDgyQbffsGVnjYI9Nwwk7Fj1MZIuA/7r3ISwy2qWOBACSZEitlOpwBUGV6SgTSVA9jx/LyX7ohSUvMHWU8KCvQJuaR+9DOhZ8JmCO+v+cXQuUVzH6lPPi4iJuP2rdS4s1nEnFF65hqPsoIwdLUoavFyYliV9RoGdYPva5/f56hMjunGNgeNQjzVhmk5XsiiIygrOhNAUnUNZoCmo1H3odKaKgUTZv+loQawETiLTXexsLU+cAr1Ipuk8wSalLiXedL47XgHu1ObNKdiU+LzKzvl7ZWAbsQFU7O8OE40MNXs2J1y6IyJKBvSCp9mIQSsA/833fY6pdu0Fv/NX99wUOkP8SZOPO2CjE5Wfr/VZyW8A6/x35dVqAlT2KAwO5FabSlPG2cjlTOOqDNjS7iefjUIoAzufg6Kw/YgbATwLODPd7WSyxKR6u1pL7rkRnhsy39E8cqQOjoeTyhOnVKCUZfvE2IGzx6pUdZf3pcrcE48ilxsuCZiZHNJZbTCIFQ0Fbmy/i0rSwaVRGeBYkOd/SI5Vaoq0bzItp1CaRAtcLUiUtAOZlCBOQV4uXsvKIWQG8hKos5IJgU5BngJalHg4z3yWkFECcZXZC8BX/ot8lbK/dzSyclgpqLXaN/nTr3vBcPE7763PFVsUVgDumJhoNPr2TTWuP6sifNctzHjMOjJOr9Pi+RjA1wcXVC6UvIAqnRlukwfVkWuqBPKMsZysNiKtAc9KPW1zcdapYmWJyrtXCmBnzbeWvVPN7ZDr7cwStIxdgNvNqxMjBBGf/orPV59sIX0HTwo7fzuvICza6IqKv/Fs5nh5sQ00E60YjlxuvXrId7ywx3s+3SJMfPqJpJbY3YQdWVQr5jJFypTFy3/qmZgctCPThl+RgztREqW0ZXQp09ESulSKXK4BMgXIK9nmjMkLQObfWmxAkiXmroLdjGnxUs4km9ViBEZH+Lp5/YQff7vR8t4KprMnp06dZXKi9aq//uid3y8Gi2xvg0aXZgAW9b3lD1QeeFm+AMbDyvG6hTK4MwDIEigkRc1DebRBxtx2C5LsNSmDk7dhVVg87YZxVRXcdpzCGHOnPZte2t7mOlnDQVy6R4RE/PWX2iTGR+XZy3KAWfQ1Zs5GRYMz1q6npR2lkWTBpoPA5a0vG/Dntwes6YhhUmOYCNyYnMWlNMhY5EVnVkaOa1FZsiZFCeSCxMmGo6YgdwxKW7liR+3ZCkabPZZ5aXJhUZarO4sy5rwpJQe6yU/8xgCvUKHFkihJlZL7ZJNYIj9uUVRjtBowo/X3X3TZq+9aXjr3+ZnZbVWAD4MQNRhd0un19gbDLpMNz04cyqYTZQDPa7iLhlP+V6SJKDF5SZ7kQB8rz8y1+JjmzEBfnu2hlCi0eFpxVxl2kwLbUaJwUnI70Hbc28ZkkzJ3EWA6Jfb23ZBHjkgOn6thlIuSEk9qnPE6jZIAH3dRsnvewVIqMc4clSh22bst4qqL+3ztUJ1IeQxjQU2CmxicWKTyLe3CiVMdjrRyofInRYnFRUkaFaM8spmQjtL5HEmVSr8C3FktkEnLBDImJ189RAnciGziwjOw9wa3cuFdXnZrikeTZ4CzGY+K/iCgPTvYK8zoEmHCz69j8KWlVYbDEaPhCM+xS7uSJh9jXLQSlcanMS5NxDf62BVpkgO+DPQSuFVe813YboVkEbZ7XhTgtkGmyLvFnRzcsgLw8vAf221PDuw8W5kzd4Ln2MSO7QqKMER8+EsNlpfrCN+xvnv5IhyvQSmIqWIRZu1a5Tru3JvWiihymJ2WvOXlPR450iZIagyURz2xWjwrZ1WSFNzZWqFTTzyr/rAsnmeTc5CY0gVWGrWmJUpnK5LJn1uAy/R76rxtLuvyF0IWzRHjDD7WtFKk+9YX2pWrEMtBZyUoT2zNu93nUxHFMWE4ot9bIYpG+W/LAf6hj3wCqSTLyx3aTdfONBGGSIBj7LDEYkZg0SRaSBb4Rvyd+f+FPBl7LAO6zOKV8WIFY8sygytRYvFMrkiUUwW456QDgNxs68A0w+kY3DwVr9PnSeXuKNu58/RJ+NAdLQLpoaRKs5fVC3E8g/kMpmpx0sptfimDx4mDnzi85ZUj/vizA544VidSLgMp8RKdukcCmZjScTK2vUyU11Od/q3qvkXlc5locHIL0Y62VmlJgEpMMawzn8si8gs6HtPj9nyWi+UoMXkG8mfGStlBKQigNM45HdecaJFukWK3JT9x/Bjz88s27V8G+MKFeeY2bW78z3f94Z5ed5W6b7Nmtt7bsrgQoEVpDIAsPsg3cgKLq7Z6BY9r72eWKCIHzvg4ZFli7CzIzKY2OU62yWuqvdUYuLP0vZs1Jms7MyRvEct6OuP0HqHckMNnHXqhB8pJ5YkZK48dv3CrCK8ONBrzwtNunCLx49B0BZdvH/HE4ZBE+wy1Ry2xNdtOqsGVsEMsbWIpj5DIgsyCyctVnraEwskHm9r3solkjibtIDJIXUwIyKZrJVl3f24AFMFlHniOne/s8t6oPmcdAZQK8wppkm5JniaposTufD0KIB4Z/NbMnu/8rh9pnHvpDw62bd1mAd5ZmycOO6+87OLNP3fk8H5qngLS2tysRiQHeKncszwuoHwONyg2KbN3BnKBzeeUgVAAu+hjVCVWVJWhmhnIKWqkVQnUqrqLsatIvXALbgvgYiiQW5YnZfZWaV+nF7LS0/zPv2mxPKwhfNfKE2kqq0oxOOfra87KNAFdPoEyT93HsUO74fDTb+rxxUfaLAceoXQYSomX9lAWIx9SBi/X0wudl9EadApujUGOOSsiZXCTB+kZ2JUUKYNbSZTkLgq5TCl0eNFOWMiULPAsrMJKL+k4TigCyuw46fQ4ZTPKk3RP1DCWhLFgFEmW1wKmt07+3BNPHrg3GA0/njP4yeMH8H2XhQunwdh64wxARhXenhamAvD1TcJVfK9n7Q1kSkWDiwLkclyiVAfT5MCWAqmK8WOqBGpHSpxUkjg5wDPNrfOg0nV0Dm7XyeovquztqgjPC/ngl1yeOloH6SKlxM9KY0vWZr5HfPoln7GasMTm+U4VJZkSa5lu8uRyzd4Br39hlz/+bA3t+Aylhy9FnvRRUhCVArpxJhdlJi9bbOVZNgqUsauCNsKCO5sSpiHJ56eIAuClRwtukWY0C3mSOytlHOQp/WfIrZQ98AqDlwPitK81sccsCCNOnDhNEAri2G4M4QAsrtka6MVVQ28QY4STfzAp84GxNmVu7FUurYfzzKq7xOIFuLPCfLNuoEzFM84DS1Gwec6Q3wjgsgC4KtVQO2ldiksuRVxVuCVuaThQobkte7uOnVq12tF88sstljo+1FL3RJSCsWeQKGQ1IpX19xlsu8wy1BKdZG6Kw1Rb8U9eOuATXx2x3PcJlcMwkak9KVL3RhTN2HI8sWLZO3tL52xeuGNO5qyo9LlMX6fjr7PjXgZ5NkE4l5KpPLGrc1mPizG5IirYKJjQVBNAqZtSjJvInCbbDWXSWFBJmGgKdmxx2bG9RhTa7+o8vu8QMzNTF91z74M/8/Shs0SJRAiT41MKgUk3UBIp20ixvgt+3O/OnhvGTnbG1GMMXmHvysFKEycVYFdnf5c7XOxwd6rgznY2yJhblZh7HYNn4yaKkROOspnL4ycEh07W0PgI6eTNuUX1YDl+ECVXo/jy5VqUgslFRV9mTkbebpY4YByu2B2yd+uI5QN1TOJZFk+sTHFKLk7BnuVCrxQhWRkt2Nd551W6kshibmQ5tlHaXjRakmrv7LwUZJSDW4t0lkqmycWYVKk2Luc4sU0BuUVYPl6UySCfuVPgS0lDsy6R8TybZi79mYsvveWxlYXDJxzPMaCjLc2aeFU46qCUSxybPJVMCnKkyWsoKmUmYoywy8ydAV2sf8xnhVAFeVWeiHwVyTpXysDOHxXpKOCyD16+p1taqzK4SyBP96t309LQjL1V+tpxIpSKuP1rLQ4v1cEr5Ilbsi4rFyzrx0VstAwXY86Ktr7M4y1r8TB0uHg25LW3Dnjw6QZolzixWtxN0uxuUpVKBXOWLbkU5MZUZtXkz1PzwMh0VZHZ3R77JF0xpEhZXWcrrMmJqUj4lJ+TJn9ESaaOyZYNDlbZbcosxMy/LxdiSQlSK86cW+OiLq/q9sItw4E54cxMGpoNw/ZNsHlGMr+cTeQv/QJh/7jClFePallBzlRVBqfyhda7C2U2Hw/QMkCLDYCds7kSpSbcErjT+YTFth2sB7ZTDAjKR7w5OgV5bOWJiqg3Qr52UPHxLzcZjjxoODhS4IqqNBn//OXvvCHAGdPfY5Zh2RePYoeJlsMbXjLis18d8MBBD9N0GSY+niC/0FT+9wsdXObIDOTV1LguLjBl2TyRVo/rEmtnQb1Og0upRUl/i1KgW42h8oCyFBdkmKoAvQKcMZiVcy0los1wAwajDPMrcGZBM7VZ0+9rnPPLQ9qh4ui5AQdOjXBlHVVqccsaZeXXO1Njt40CyirARZXtSo5J+XkuRUQBaqlKuzcokdamFOAuQJ6VzRocpxih7KSbMDmqCnQ3Z2t7V8oGmJ4XEoUJn72vwdOnGuC6CKlSUKVzQ0rBpZDVkzruGmVnLGftLCNcGXOXbdsnc088SRzC0OHKXTGvfn6fx0/UCWKPRLoMtcJLGPssmRfOGIPbRzP2WVDZxabRSqCyjLUUGEUae5GCu3RudGmWoS5WDTkO8PG4hDHg/50ynfbfZ6Oya77mqov77Nzcpd3o4ck+zn/5nc/iOIrV1S7Lqy5zEwbXlGspNrC7numDCMZkyfrxuxsxdxXUGWOXA8xiB4JCmpSswpyxM4AXk1NziZIyt2VskzO1kz8Wz900uHRUhO+FPHlS8PmvNhgMPWi6SJFVDlKyBzfIYpa+Z5maiiI1k2pgU3VTygmfUgFWGLm0WiGvvi3gE3ePePyYD47HSEu8VIsrbTfYLUsDkZDLA5KxDKIqnBxHUUgXadk8W1WyIF8bC3api0Sb0GU3JT3numD28RzHOoCPgb78OAavMRItMqZSguckbJkW+NGDrJ46gNEJTluuoBAIP0I3ZMkCNKhSpFv5MDmYC6pe90Gz/8uvWlG5gjdkcVkCe1lz5yC3eruczVQqrTBMKwptO1f63CnPBx8Dd3p3sym0aYG/o2J7dyJcNyI2CZ++t849T9ah5oC0Dc1uqYS3UhpbvpdfbMREpnQnq4wjb0ZOTDbXpAB6MHJ58TUDXvuCAU+drBHHLkYohsLBTcg/k0gKFi8+wsZMXh5ir1TG3JbN7Wu7U0emw3O/P2P0bLVNGTwf2inGSXIM8KQXXoqPDfFTBnOZKDNMUS0X6PRrLHQEsQ4RGJw4sVF0otMvXNouJPsbZfkwvsSMX23je+ZUmdu+IcsAL7V1lXcWqAC7IlXKafrSXY2BW5XuTrEJagZotwTqzDmxjol9VCrCcyMeOyH50JdagAfSRQiVdxGpdCPVcta17AhlZ0jkVFCNysuOSlHrUyqhTWzrnp1Cq/L0vTEOb33ZkDvvG/HQUTtJINKKQSLSgq8UdElmx5kqOZU+izHGsngJ6NlPVQp6LdP9fLKgONPeMmVzYR/zc6hLAztl6eKvgDurUVmPqQLIZa+8emHIserE/PeZLJttC86cTbN9PBfOLRhOnhdMNMaCy5IezhIyZVauOCZjDF0JstL3ioh6g50ERMrSQtgDk2m7jDmyQK4M8rQ1rdhsyu7sUAzAL8BdYe3SY9ZYm0kVpWJcNyZKYu56oM6+I3VwXZA2uPSEKU2OLQdWYl1gNS5PMvCY0pO8AWK8oKi01YlWqaOSOAShy9V7R7z4Zsviw8SyeCA8RhqcRBSBX5LZhVbjFhKFlNBKn6nkjmVJPmkEymCzn0YgjMAIkEYUUqUUVBbsnZ5XXb7wS3Pd85xIecUzY6QpNiBJk8eDUpo022m/m5SGZi3i3OqQlZ5N1jkLQ4MbC5aGdnJSto1bPlk0S6ZkH1iybkmpBgtjy0rmB1e+2Pr3LajLe8SM1Z8I8r138t2Ls+bbSsNDsXWJUmPgLg3Fz90TlaCcEsBTieI5EYfPC/7ksy2CyIWGm8oT8tY0Vd4lWJQu5MrV/gwSxVSBXpYp5c0BtNlIizs0fckPvnrAp+9pcvCsvfgSrRgkylYZJmnyB2FlQJIu52MrSVYkVwa4NIUWl6lGl9pgpD1HRgoLcF2KlTImz3bZKwXbGymAcelSZumqDMkOpUmxZy1MU+rztNam/be+lzDZ7iEcW0Oj3v5r/3Pz6lrjv9738Nkr2jVNzSOvoS4nUArXomzTFTJiXFasyzBW5EZ5D8tsHHD6mI4HzoE7ds9GJpQ97vzRKXS3dVCq4C7v1VMUU6W7PzhR3szgOiGJDPnjTzX4889Pgu+DqqGUQ0MZ6sqk4yjIG5zdUmtckUktJ6IkxWRYKgFqEUsUtmN20QpJ2vhb9EIqaRBGs3NLyNklycP7PGJhJw9ooRDCltJuFPdUDQJRcSPy16UyVVKwFxdDtRegquHTLWiy9za6l/+bsRxAPuKPDYbnU+QJsk9sKDR4gUfDlumEK698wZbLr3zNF5xjx09NJkHnNVP+iFbdTYuQslqOVB6ocvGTWM/a6d+UpWUlJzEhKv+2+juqr/OlrszalTpwU9HeMgdDIUlUSXurfKeH0kZUyoxJkqxSMGPvCNeJOHRO8oEvNrDzVyx755372d8XVMYLyzLzQIWt8helGp4KOHT5RBdzBW3gmWY1jUQndlR1nDiYxOG7Xz7gY3c12H/GBRlihGSUuDik9SLZsU5SeCZZ4ieDakk6GZP219rZWNlnk1kG24A0VrZkulsa+zeMTv1xnQaoldW5yuYb1SJVJa6osnfJO5eiKPe1F56EJO0HFRKER3DBgB+8ph6cnnQUIb4TMdGwAyjzFq9yrUelBav8AaozP9axRIVBSi1cZVlS1rGy+rwMcNtFkkmm0vMMyFm1W6bBS+C2E1l1+mjtQKU0KvO7VYySMSqVJ4mK+dS9TfYfLrS3FNJ633kHDRuewGpQXjhNZZViKs+rDcgVT7w0kcpJi/wTWaTww8jhyksCXveCPkc/4BMmCoRDIhyGQuAkqX1HFuhmjoqo8HEeAptMlwuUyWpCrDQxxqRaPL0LU6T4hd0XVRqBzmRKyQcvg728ohTxWHmV2egCKHCkM5/f2DigiF1slWSiFVq71DoQaI1jLRY7UdX3SzsEy2r1npDFH8n3XR9n60pgWQb/+BdcnwjYuLmhytrZ64y1M7BnzJ0DXZWZvNDdKgsisy1OpMaRxdB8pRJcN+LYecXvfbTNSLpkE7SKrvl0BSnXQJe+R9XneuZbvh9RvkRbuixP4tW6rMFFpT4l0Q5x4uInMT/1xj5/c1eDo+ccUBFoh0i4DIVAJYWjIcvB5hjIM2/eAE52waXvSWPT8waTAivzxHWFzU36d7QUCFOsHuvNhBT4X5fFx7R4qXxDZwDXplI7kyQSlZAOHbXzdBy7HbUd8u66Im8Fq3rQ2YdbD+jig4yzeTWRkz+XrGO9ss2WA3+MtbNEShXcupAossrgTsXfTsFc8btLd2lZ3HVCuqHmPZ9oc3bBB+Wk1qBM5Ymp+N758w0DpzF59kxAr2jSrPFgfBvGbHCPrE7Bkookdtg+F/Bjr+/x63/i0YlsQGCMJNDK2oZJ9jkMJIJCYRcgL/7f/kSlV2E6v6l4lAVrWhcjZXBTOndZzVTO4M8QcFak7JikY+xYGjtPvLriW+89SWvYpRSoxJAkksFQIl2FEyd2r3Ap7CizjLWLPd9FFaRjurv8s6otKCpLEeWrkA3APQbsgrWLKa05e6cF9wWgS0zu6JTRdS5NrBzRJamSMXacPzoqwvEjPvJpn3d/uE2gXStPhMrlSd5UPGaJVXR3fuGXYb0xxE1BoCWrsAz6LGVv0Frn2c08ha/tVuA1J+Yn3tzn0EmP933KanFQJEIy0jbglAk5gxcFWNnJKlL3ZbvSgrqQLMakbC6KQjFLOsbah5XEj5UxRTJGFGCXhZQrY+gZ2fsZLoQCL6ISmwmyOiSNMxppwsieNM+1paaZTbduWaH46+v/qFj/oUrLC6yvTVhfmGPGJIopBZnpFt3lLQNV2XXQJamSgbnE5LKoDsx1d/5oZw2urMLffLHBapCB2wLclVZ7O6IqTyqrzlieoALrEr7LWjuXKukPKlV941sv6rE6cSlRWqG1Q5w4THgJb3zFgI/d22C5p0BGoBURVo+PVxdWL7lnZnKbByqSQll9ShZsmpTFc0CnPrk2jDG2PZ8IYRkek2tzhLCJm9LKl0Pt64CeTO+X/o51sgS+a3ehdiYnHHTsMNF0qdXsvi+Fl5uxUTVrRFmajDH3hsvLhktUpucLHVs4J6UREdJUtHdhpa0PKrPhNAW4k0qAmQWZ2T43Tom93UbMp79c44F9dXRJe9umhkyeVOtN8tYsqge94omXjtH6W8qeFSvMVEpodQn4edBpJMoUvnicuDg65pZrQr7jeQP+7HYPVAhCYoQg0A5KCLsFCeXUeLmKr6TJSz64ynokjD3++a7UslQoJu2MlwpzG4sRI4tjozMSG2NrIVKwbwBkRPn4jeFuI8CnX2O5Y5NjzuykQmnF4pSdP1hmluI8rK/ULZ+0jT7MRjKkYPSilSl3TmQBmPFWqDKwCxclfa0MTjpiTMrUMZEm1dUlSZI5JrIkUaR1T3w34ugpyZ98usV8z7P7XUs76F0Jih0bxuKFdbq77BptwN7jt0qip8Ts67ZazLZgrHTd2/1z7KPd/mRzM+GHvqPPvft8jl6QICJAoZGMhCxtIgXlMtrcxixfcGU+z7OZ6Xkos7mwzzMwZ7IlW5ntz7LZ75lMKbKrhaQrVROW8CZKQBvvxBdQlG/nuDWMgoTF1QQtNc7cZILSCVNtQxhDkhRF+KX/znbzjINcjD0f16LrGHxsuE8ecJYq3/L66hJzqwzwYyDPZ2SPP09y7Z2xuJONA1YxSiY4qS3oeRFBovmDD7a555G67W2TjtXeUtquHVHMX8k/a7ayjH/XMSYvn4wy1tdnMAvXotjjvVw+Wy6jte1mOnNUEk0sHVTs8OIbQ378rV1++Q88gljaDJSWxKmrInV5hTYpK5bOrLEtaZQ+n30tSrFB2l1vwEiTBpgivwBMytbSZBahqQSfBRYy1i61sGVALr1mDNjjfQgZsLUBnRi6/YjVbox0Y5z+SDAK7R/yXUOiyPWf7d0rvui62xjAN9ZKWX/expqsAPsG7F3af15uJE+kybu97bbZuiRRSmN/M92dzrjOg0sZ43oxX3rI5WP3NAhC1w74T7V3zt55YEvlvo65SyjOwV5aVsdPUrmwqSjkL4MbjMqqDKu14omWSG2lSgb0OHaoN2Le+OIhd9wz5M6HlLUNkSAkkXAYUgT6UASAOVvLUilvaZWxFmEG6vRzSmwlqihem1SaZEDPzq8RRWWjTIOVYmxfqXa9Ikk2lnemxNZF/JLN7bFA9zy7O4gzCgRhJK1Ad4zt4tAmj5Iry+bY1VMGerGkmPUgL0XNZXmSMXYlqMzALkuORaZ/8/3U7etce+eTUAtgO2oM6KoAt5OC23Mj1vqGT9/b4OD5mpUmwpbEikx7C0oTpMw6cOeSJf++guqS//Vv1gsXuSW3UQp7PPEzXi8upULqBKkdosDhsi0R3/HCPg/s9+iEafpVWz0eosj2gZCk3niljLY4qQaTN5yTsrXBdvqk2y6lbJ5JlTThI9Ia8hzo1U6evD5KbEyMfL3DZ1LPp4LPlL1NUTzmKjsH3plsakSSUPc1UpnUkspGiYnSeDFT0YvPROaVpEf5NaXsH5k8qSZLigCzAHYB7swHL4JLmQ9mNxXGrgSUWSKn7KJI2ymvSfjT2+u8+6MtjHCs711hbwrtXbEG1wOdygkqxSxfh73XTeOt6O+CZMZb2XSWttcanUi0tL64kpoocZFK8xNvGHDknMu7P+YQxQXINYJASJTOBkmk4C63tuWgTnUGdhHIz7tIU/oZm5NmNoX9nSZdnU0OdJO2lYmUzU2+8pVJsQh+7ecqr3xlSVcOzAvmJh1FB0Go6Q8TesMEx6RdEb5n2S5rx0+0nYuRZDu75bM0qstE/p03CjjL/Xc5IEwegJT3m8/kSeZxZ8xezMRLve8xx0Rm4FZj8mRsz3qV7j1jNXiE60UcmZd87K4m/b4LdbWevfOa79LqIooEjyh93/HnWcT/jTg8b+Iu+99Ui4syYJu06SAHusyALtHSanEpHaIoodWMecNLBnz2K3WOnE8NYjugmkQIhmnyXggQOgW3KcBuclCnbglp8idfcDInJUvdW/ZWKUgLeVIFuqkE42aMDJ+5dc2Ujlfl4k/7hxNt8vgxDI3d1EobHM/zqNUUzVqClJIoEcRxunGo3XbFHlRdtbPGVrOKRCm7KLL8RfLESJkBTUWeiHz2XeGe5ODOmFuUB7NnzomubLchS7JEytQxSZnccWKCSHPH/U2++GjdDgeXrgX4GHtnRV5KiGowTJE6rqxaGwSY3+iWE0eeui/uWqfZw8xJSbcisbpbFzJFSxIhUYlEC0UUOLzi+pBX3DLk9GdcAi1TW0Pa7R1xGAmQurRtlRC5gZ2lflS+DGWOSlorLsiBjxAF2Rt7To1IA88K0EXFRVuf0SyPelsP8bLTlDN3Cu44McSxHRQbhiCVi+f5OFu3bV/rr3Q/KwP9nYNhyCh0CKRCRBpigSDd20UUQ1bMBhHnOl+8BOzxgnc5xuLlZV8Is561c6AXZaNV56Sqv1Wefk9Kz2OktJ060ou5+yGP33j/BIlxCudEKoSQdh8gUaTlqwxednw2Zu+/RRKzQkvry0jLRUSpN042DyQtxhKFo5Jrcmm9caEd4ljjeQk//8NdDp5xuPtBifZECln7BSKtGFIWVKYkSzbQ5LkXnq622edNV9tMh4v0AtD5+Rd5nYoQ2Nr0stFQwkz+aZ7BOTGUJUnG3IYohiAyDCMIYw+c1md37ty5pn7kLaafRCeOel7044qEOHFIsv3lC14uMZTYONAaz0aWy17Hqv/G0+65z61K741XB5YCyryg6hnAXZYqTiWhY3stz6wIfuNPJrj30abdlEd6aUmsiyMFdQm+JN3kyqyv3a7c06K0fEhOdRhRVvMu1VjDdEnXF69F6aIfy+qWyaA0B3Cd1Cv/zMDsTIzvGB54wmNtKMeWGplPES8qDsl96GfIfnyDm6jIiVLuKC/mqtp8xXtVnT12sVPahKEkTbS2M+wtwGG5D4nrceTcwg/ded+TB51rXvDuTY/ue+jfHnj0t7jxYk1nUK8kWHLTX5MXmG+wP9Az6u5ckmRL0zotXgSa5WHqZQaXG2jubIeBDe+qHFimpbDp88RL+JNPTPDxLzcxtXTXOGn1t5Cy0m9Z9Dd+nY75fLXKtMmG53ydB27GXq8DxFi3/XiHj07nB5qUuY3RRY2KkEitSISDHCa88aVDnj7m8o73OoR+XDHqjXYJ0toZkeXXE5utMZgCgKk2NqTZTZ2+KyiCzTSAtIGmyGu/s26bzEwwlI9dOcCkuMDM+NEp1EOhv22MaHQRiK8ONS+8esS1l0B/aGcT9kf9/iM6nn7L4tqAOJZ5rJH+LWS6ZGljNk74UPzbiv+9Tpps5JyYdc8rYM/8bpECvKS9Kwwuk5KTUgZ3gizVntz5oM/7P9NklKRT8EVmDaZZS2Eq2nvD1HwZ6OMXM9XHb8R+JkVA5j2vy2hi1pXQGlnKbMqSsyKUZTaZFmdJTaIdfFfzw6/tc9/jHnc+au3CzBtHCrRxCLRtR8uLSMatw1S65FJKFIOgKiCXFnAi1dy6dPwKoIMwpkoSOUHanzF+/Eq4yxtCSl69xK64m9sGX9cIuy5JqFF7tg+ihfMHAynkj8ex3ZBTlwp8yANKsR7IZXmSLZWVZbVUFbhBHXc57Z6P51VUpImTAbkiS8bBPSZRsqROqbDKcSMGAfzUO6Z57HAd4zigUmmi7DAfX0It2zxWFhs95Rs+SUo7StgpUlWpUpoAkLf3yVKbntxAvlE6RiWrdKyEoTIeWRZxS6VzvTzVtRzcG8PsVMye7TEf+mKNMBJpVVhaaJI64tZMqVaPFkxXep7LjhICSzJ+3EqubFRWBqsY+13jDl054K6wePHvMukCVuI1fZhoegjhvCeMxBlnZbAVbSS+GiBZpFk363QSKSOvU2WiUFwbs3c1BS8oWDGbI50HmBtKFF3ywUt9icJUmbvimpR25009b8eJiBP43Y+0ePRAzXreMmPuwjlxRVWWZI/jF/R4yW/hnpSaqZ+Br9cx+ZhzUjRAUBQzGVHaOqZUXSgsg+dBp5ZomXrjIr0nqVTRmhuuiPjp7+rwPz44SZiIAuBpVJigCHSmxa1MQZeYPJMoomBORJr00SU2z1rX0tcyZf4swZRNSssZPT925EVaWbwrNjiCG1rU6e/xlODyPVPs2j5BECQ4b3nTt+N5TebP7uPoU5/EdVziWJJs8Msyj7IA9xijU17CzXp5knncJc1dtQk3kijV/RkLFyUpdHk5qVO5p4FlLeEL9/u87yMtOkPXeoCp503apGudkyJrWS4YKuvwwurcYAZhhQBE/lqMnyGqjLThCay4KSVg5x54agRkkqScBBLWRkykQhpt61ViRbum+dE3D3j4KZ87vqagEZMXjgBIQawlo5zKCpAb0inDuW1pPe+MeI0QeaYzHVqbOiuF62JKQzmzy0YYchmT46VEpSW4rUe7KMwWYyBODMNRzM49N3Dbzdex1unjTLUTXM+gp4eEW5YZhdOsdHwSXewAUDkT48CuMPZ6YFdrTjLG1qXqwYLFVQ7sYi/GzPeugj2p+t3SShKZ76tuA0spY6QTc+CEw+99qM2RZc+2wad+t32UBXuXZEIF5OXViQ1el12mZzoZpZMyvoyX3YN8XmH2XpZoWZfGHxsSlBViGZ1vKiu0JBEqlTEOMjLsnY75qbf0ODHvcPiswDjFt7A06JKkIGcM5BmiVE6bpgTw9LOmqM3YO0vNp+onz3Ku6zMop+5LQK9IJFP8+1xPpBeNMdAZCRY6MasjQ2QkQSJwVrrQagqePGF45LGA5+yNCaIGUVRs4VaA2lROMmK9z11d0ktypFIOW/bDq6wtMlauvF/yv5VOX48ncwqgK5UgZYznx8x3BL/23jYf+1ID46oiHZ9Kk43Yu6j7Xp+Sr5yUjL3LUrTE6BX6Kf2bCmtvoFlZB+ZxXzwDdDkAzTp/ZNqYmz1Pg89EE6NxpXVVOoHk596puLAmwM9QaO8GJ2fyMrIMNnA0pIVVWqRyJO3yyYCeJsWMLFS+0SVGrxDhBgOAIO/qz2ubMulSIlmZXlQy/SP1esKLLulz9cURzZpATBqctV6dRrM1f/R0+/Nf3Xf5q9ZWR1y0zc3rqsvpZlG6asddEplWh5WtvzI7y8oFUJYhZSdlTIpU2DwFdxZcioytdcUSlNKC23ViQjSf+mqTLzzYSGtNMktQpgyesXexa3B53uCGxVQl/S0rx6akxcuEXQ6+xm9lj3gsoMrsOaOLKr1ypaFM3ZRMjydCIESa+EmdFSkl2qj0PYkwtuLQdwyvfN6I1z1/wJ9/1u5xQ5nJJRbkRjLSFlFGlGVKlb2VsD/PJYsokj4mrSqUObCpsLuUJi2DKTF6FhpUDmTR/Z+RR3YOlBA0a5KrNsO33bqTK3bUP99stubrboj6vXf9Ntdcf8taw2Ot5Zvv666t0ag7ZDsLV1ipoqWrLJ2zrSoclHxH4pLdp2RRFVhO5sjy64rmLoqp5AZpeMvWhXMipZ1zkkjNJ+6p85/+cILj837axFAkdJAOQgrrnMjUNUnHwGWzxQuHpBgNZ+3D8tQv+9q+L/OpBHZAaDHgyA5GktXETebUjd/LAW25jKEk+crdT3ZKQVGWvFFJcrl8Am2YbidceUnM6QXF4VOOTfhUKFKkwLZWXwGu8X9TvZJzKVLWZKWLvFzHtfF1LyoALv2W6kUgyI+xowQ1X9LwBXObL8Xxpv6f+XNH7r/sqhfYPXp2zNlNT0Vo8LS1yWy2KKUuQ94zl6+4Y9KjmmUrM3b5PVM8z5m9kCFynLVL7xcyJKstKYE7DSizmhPXTTi+JHnfR5scPOpDS+WSxCZ2rPbOpEneZ0kJNBmAysxdvucEMJ79G2PuyuvCRdko2WNZW48lfAoXRWbsPpa+lwK0trsOZ964yJldpmDRduqVMSTaIQoMV+yN+OE39nhwn8eJxdJSlQedVobECEbCBpekI9yMNkVwKdKyWlk4KmWmNmmfppEmg1PusmzE6GC75XV6gVePXCZPSqNHgCg2nF2IOHA8JBIhQRgB6SZU1159GY5bZ24yREVH6Ax0XipLZhmpknc5Du6StSdK+rVwTSwbbgj00vOMuUVmDaagzpM8qc6WKcgrgBeZJRiz0hP89p+3uevRWlElmGUsU3ArSbpDcXkMciHJVIUpxoLLZwB+xTL+X7hVAvnxupQSyK1ksYDKZYoogb+U6ZTC2NYwbY+/Fsq+FhKBQgtNMtC89PqAf/G2Lv/5jyZZHWbATik4JTijHWKZ1iKlj6TZTJMCP5NT+WiJVIOXL2b72S12coaWxfGS2ARO1vojpX0tZXEcynFPpuGNgDBKWOsZ6u1t7L30Svr9Yf47mZ7ZzNzWK+4Y9OZ/QzpeuglStpts0fSaMVHZFqwEimOFUuWETbl2uyJX8n9n7T7re5e09pgskTmDJynYi2ylUjEjYfiDjzZ570da9CLXFlJlzJ26JnZ2X+GcVIqqsu+YsXk51igz9YZgLlqv/rZIH09a5EDOflZe1kt2YeGilC3E8cm0tpzWlHaL0FqlHUFWj7cc+PE39/iJN/ao6xh0AiZ7jEDHYGKMNsQGAg2hhlALIi2IjSDWNrufGEFs0u3AjUgxVN4iPCu/TrcANEU5dpZ2z+pNklLz9binmh3/bD9PJe05aTYbzC8u/8Zzr7/ijm3bthQAr7V28Ifv+o3BI0+Nji91aoxCGAWCOCkOavl8FQFkqbCq9FqVJEUFzMKUWDdN3pRby8aAnTN45oyIQp7Yi6EAuZQxxtE8fdTjr+5o0I3SyZhkwM58b4kglSb5vZBVWZvcurQ71feyix2x/v2yI/C3QXp535mKZWgzCzkzVy+CUlNyDmpZfZ2PmhCpdahKIFcYrYgjRcsxfO8r+1x5aYBM4hzUBdiz1ynIU6BHRhBpiLNHDfE6UKe7xuXALe5ZdWT55zrvPygaGPLOndLVnsUgjrJT2TxPsnXOZ7reO/6O//qOwWV7twOlvepf9ZpXU6vV+Op9d3HvV5+g3Wwz0bQDOIuNMjP3ZGysQ4W9y1JlTGtX3JKq7hZjWUopde6qZPUlIrMHVZnBU2niJjxxzOWnf32KfYd9jCsLWZIzuCzZgiYf5DO+U8NG1uBGMqWS2CkFYuXA6m8lV0z1adUXH7cLbS201bAWuNIUkkULG+BqI+1KbwzayPTf2AlZQltvPMFYdyI0XHdJxLt+bo0f/y+CfUfS4ESyjj3RDnGevQSvbB9KkwJK5DpcZRJGF25K4bSULEWKLKj9O+ReoTC2+EqayqFCCHCUpN1UTKuES668mBuf+0LCYAT8XMHgAMNkhog5jp1rcXYxrbPNdlqrBIpUJEl2L6RJ5lNnrF2SJpkTkteNFDpbbcDc5cKpaoCZ5HagBbemZyS//9Emj+33SVSJtXPtbaeC5LZgBdTlisaClcfnDq4bC1EBe3HQKwHm10G4GQN2GeHGrGf19cy+XrKU99vMJtNm8sSMTcayFqLdOUIkkhuuDPi/3tCnJRPs8p2xeFI8mhiM7fwKUzYPtSAyBXvHqVyx9zEmT3+uK4wucjbXZTY35Fu6rOsRBooZ8pJts3Dj5TWuvHiGK/dO5cc1Z/CJhkur4R3Zs711dHH75F7bASNKQC6xdblIqmzzVZyQ0kWRMrNlwjHWFvYiENnc64y1RVmilAPMBCnSoFIkOG7CQMP7PtbkQ19oEqSNCwVzOzl7yxTcxZZ7G+yzU2bvccYWBbCryZwiPlmP7G8kT8bZuyhPHdfhGvJRxmVGLySL7acVQuasLoxApDUqwkhbxWeMfa4NInNWEoMnDG95xYD9Jx3e99EW/Qh7wEpBZd6jid2sNmPdLPgtNx+rEkNnfrWRYJKs46fqomQuTeWwZRkfnc5UMVlZQkbChjBM6IcTdIZTRzX1I1Gi88+Ybxj4znf+d779ta88OtFubIqCzkvisEPDF3huukuwqt4rDQljQeO6IHPdz0raXI3XmJh1+rvM3lKUZIkT04/gjz7Z5L+8d4ILK16pOyfLVmavJY6wjQxepZEhS9EXvne52rGStpeFNZW/rrxfbHGY3UX5PVGqNpTrpVC5CUIU1az5wJyNOqPKF15RK2MqTk8RJxiq9fpZZjqv9GeynfDcq0K6A8FTRx2bBBr3PktXuZ3MnU6KLXvebPRvyz/bOBjfaKhcsWIWxyGraQGI44SZuS1s27Hnd4+fOPmea6+9fj2DA/i+i+vVbp9oidcTqeuV1KWNVEuOiNJj4C1AWgSfuqq5N7AHrSWoSz/TKcNn/21CxRosgVupBFkzfPz2Bm9/T5v5FRc8NcbehfbOpIkrSkAWY/vs8MwWYHn4aCUdXzkR4hsR9jdk8/LcwkKqpJy+Yeq+yHZqI+w22qIITIUpPHEhMtYmfZQp6C2Lox2i0LB1KuEXf7TLclfyF59uQS1j8PTg6PQL5zagJE4/si0Es1rcINCJnWRlcw0iL7jK2D1vYM5WgvSCsI+VSj/QpRqWxK5p9mMrhiP9mO/7tycl9q4wOMB73/t+3vSai07VvOhmdHCjELq6v+TY/jfFe2P12qrqnpTtwLIGz2RNMeuk6qpUZUnRPCxlglPTHDnr8Ovvm+DRAzVbyF0pgS33WQpcaUsuso6dbG/3de1oJS1e7qIX48xbeV0wuciZPd1M6xkYXJRXgjxgH2d1sX5gkixYOh/DkfWGjjF6drHCWEkqpvRvTEkNmBxIExOaes1w3xMuK6uyhJSx6LmoFUZjRxyvY+jS6yx+yBjdUI0p8gs9++/MuDtVGt9vMs2uiBL16Uf3Hfndn/3pH6kAvMLgANrZlZrnR3BkF9cReR9kMZ44HW5ZbiEbK47KmFtU3BO9QZInY/Cq5dbbrQAAMJpJREFUc2LZunBPcuaWCcrTHD3n8B/eNcmXHq5Z3SHUxndE2qmT7sY2lgqvLnnrX8sSgDasLKSYkDq+pI5r9yyFPe6SZGevvBfO+iL/8t43Jve9M3dEGDG240GJxbEBn9AyTRLJgsG1yqVLYhRoCz09Mrz8uSN+9ac7/NK7Jjh23gO3xKplXS6MXTWNRAtBICAWkEiBi8FJy1e0EHlCTaeaXKbZTYmdkmW0yQfsZ5lSMKVVrTSsP82wz87UuenGi9HajMN5PcBvuuXlSOmE+x7qsra4mnampDUa5Rnble52jRhzVjLgVsAsdMpwWdBZAngmT7KAUySIXMKUUvGu5sSCw3/8/Qk+dEeDUKS7UeVp+EKWZJotqxR0RLWRoTy6YqOs5Dg4cwCLKqtsxFnrbuUfjp2HDPCC9YmNbPJVeeOn6u7Imdti0kAvy2wWjRBSp1pZWAkjRFFLbjJLUWecaSVLrKHmxLz12wYkGn7pdyc4ueCnIC9/uIwZTUootjsowSaEtBAkAhysbLGBsm2a0IJ0IGiR2s9WQ5NlZ7PZLMZgKofOpE6RZnZuM69+5SvCOE6+McDn5mZQTuvf7d69/aqT0bGXDgYhUop1OyaUG3/LDQpCFAwuhS5YXJqcKcqVg9m/FyUGVyLLWOo0iZO6Jo7m5KLDz//OBB+5s0Eo063XKqxdZC6LjGWR1HHSZXvc8y587lIJMBuAXRR+97irUs32/K/dxhN25brw9Wn7FIqlbnNhqrZh9p4oaXFbtyLTUWcCkY2DFSbV4Fg9noI9jg2uk/C9rx7iKPiF35nk5KJXyJWMxddfrhgjiFNwxwLcDOgpwWjsPpvFEP2s8SH9uch+nmY0ZTGrJTv2idH4tQbbd1305Z07dvy75dXuNwa447b58Gc+04X6wZX52otm6rFq+BbQ+f7uyqRp8/UlreOALgNblIPLnN116aJIgS7K9SYW3EIlnFtR/OLvTvCROxqEagzc6wJLywR2gE/B3pXG59JzQbWSD0ogH7tvFGBmJ7cYvfC/hu7xAHPcFy/eFGjKtSdWpqT4TJM7JbCnrF6WLGhZ+qwyHWdsFz2tDQKZgl4RxwbHaN7ybUP+f+19eZwdVZ3v95xa7tr73p2kk07IDgkJhMQQiGzigEEfm+M46ijjzMNRXBBlfG9Qx1HRGXEbneUpOLwZP8oimzqAKAIChsWwJWTp7PvS6f0uVeec98c5p+qcurc7nZBMgHnn87l9b9Wte7tu1bd+9T3f3xYygs98pw57D3sGyNWthwgVQeVYlEVAejo5BUIAHmQBz0iiBaKino5KhDDrQMbhCCr2XTF4h8iKH7O6KVu2gG54cc39QwtOX3VkgANK4w8K16b9+jPDsLCQZhh8j8P3QqugZZJvU01BDDpCrNcxbSHgEZWJAK6UE2IA3CEM1OEIPYL/c38edz6kLDcdg3MrahJp3gmPZVXLbcpoqMK3jaB8M+w0SWEiTyYhR4tv25tZ4dQRlnpiOoC0g0fTG8vbqd9TDygeTgDFxSUWoQKyiAw8B4m4OAAqA7ZcxnHlRaPYsNXFzbfWSNXESfwK7sQXNhfyXKiNZA6pnIQ6in9rgMf+CNnpwaGQtRPVhN/lks+7VBsAuY3vUeRy9S8NDo5e29SYrXpsqwL86ksuxtOP38VEQ7c4vHcXMqkA6VQI32WKmhjW2wByxKsNSx4/JMAleMz3ecS/rWWteTsccAkefjKNnzycRUkHnJPExBL6WbrjHWpTkwjQiIFu6sVWv50kPTEstcm1TUDrDSrCZCcCbmNDi6Ygtup2HXGjWI6oLDXBlZzGlYubG9JhPEE16QtVlltNMIkA4VLeg3LrEy7gQ+DqC0fx7KsuHnoqK6U8OtavUuAWPDovEBLkHDIoS0uzVIHdhQAlBK5QnyaAw4GAAi6XVl0HAAICmdBB16QesWm7w85ZednEAQ4Ac09dChYWfrLTWTPTxaEctYAYh8NK0Jog1s4EocIitWPBADsSFAUxPYkBLzk3cYEHnkjjhm/XYt3WlOQcNI4MtClKbL39qhNLUx1JpKPpbKSKSaXtZNEbVARaVQH1EcGdcGNW0hMSa+AwJ5YJTVxnsAvb0o8NaEjvpop+5FxSFVNh4RSqo5TSzAFQMMzvCfCNjw/i0w7wiyey2gTbP4pqcCsrrp91fKyQtIkJgCkLQhTQNbCpOn8UBC43HW7KshcFWlqbR5aeteQn+Vx6zGM8JsBr67vErt7/++361snXlg//IVdf46BYcqPTprVUKKtsa6xqRk6UoBMBHtGyabFjDq4kQSKjBYkL3Pd4Bn/9j7VYt9U3wD02PSHKcruISx9H4bBIgnoculFNVQESFtweJPGiUrRKGDkyxvpk8JWxLpqAGrWwK133Ioq9Nq04IRrkxgSUy2PGhQDh1NoJAkf5dJx4V8vAnKkBbv6rQVACPPBYFpHTR0g8SKqiwa3utgrY8nXCQqhQA6YoTKgONtXGRZ8TyAueBQw1mQIWnr7k0CNPv/jtT3zoXWMe6jEBDgD94QL09Q/gxz97EtdcvBMzOjyUgkgnkjdKYgI3Pq0R6I1TnbTu2mJHryOHjgBc4L4nJLhf6fWVl5LC5tq23k2USmInEBuWO3KaiATHHgfsJmYT56VK8KCB9onz8GSdD1MWgwa01oKVVTe14KiylMry0W73sRKWI94uKIjKwieCKuDLDsa6ipnU2YUqHaH+a5lj/rQAX/7IIIQAfq4tOTVlFWE/hGp/LHjsEKg4kApV6mCzau+HAeZ09OH69wicf/5kpNIN+MQ4x3ZcgLvp7tK2fZv+crC44I7HXjicmzulCCYC5fEywGt4wwx4w6qjopmjYeVNcEdSoSMAB/jFkxnc+J1arN1qgBtjWW6JYEqq1DaJrHackmbFboxltZEAcxLssBMf9BVgLx4Z4jpLpYKewFBViMaJlg6FZcXNstbVrHnSiusQVNuqx5NQqAknNyag8YRWgDAHKDOcOi3AzR8dBBfAL5/MSHBTY+dpFCKmfiS1wT3WLazCyWCciABYPr+Mty5eMDK51flLmm4vjYvh8d7Mu8P8gqUznlk2lw4e2vJCrljeD88tWfEi+qTEDgnlfBhj5036QiDT0yiUJXdkLfIHn07j09+qxbotScudmFwiXkeBKEvHTGSoVE4SCbx6XyJubkqBJAF2Yl0MekSAr/azq6xLsBDjDWWdEz4UyxZaVtmYlIqYjsS8WxiSocnFKQTnKk5byYQRXVHgVhM5QuUENIrN5o7i5wDKDPOmBvj6xwYhBMHDT6VljDlVe6uVFF3CCir+mlSbmSZcuyK+ruN4BAfw0nhuwyQMiHcOgkx75tCBYY5xxrgA7+xsAeAeHHVHrmjy5j1KSr0edwSoxzAwSLDvIEXICHJZjq5OBgqivLkkamAKPeO3zrOprihwUwLuEPz62RQ++Y1arN+uOXeSipggj82tDqbSc57khDJpnZOueQuwFsjtzyGxnd6o2iTzaIYJYmu9eZc3tjXf10m9GvH25FIpIxr8XJ6PKDFZxOCmlKtJJqDdiGoapS4cDg4ah7QCEGWGud0BbvnEAP4qBB59JiXjUYj5yxKzF8ETv0ReDFQI+OCgEOjsCpHLcoSMYN9BF8ODDhzXAS+VsXD+ymDjHn7FwgW1Bx2/ujw4IYAT4oGHLyPb0L1rb6F/84OPPjOr7/ABhGEaz61P4ZFnUhgtEUzpCHH1eQVkfY6lC0o4fVaAGl+AM13AM/7FcTEXg7IocD/8+zQ+/g+12LDNl1FRkRyYjDXR0UoS5NpD6Sast5XMgCrW2wQ/kpSlsuxaEvjJdWPNPo+opowFeCH/QVTGuIpKIo+p2bNGgjFpzeWEU1l0JJQVTkEot+NXBFVpY+oCke4Vi2ITzc0DjplTAnz3+gFc941aPPL7NBjVv4KOfWC0lWcCNT7HwtklLF1YRtZnuPq8Iqa0c4yUCH79jIfnNvgoFARAWnHeedM29/RM2fW7NZtx9unTxz22RzQ2gq3DLT/YiFyuYUWdv/qxzVvuxbf+oxX7+tNAWt1EGAMpy3iRyV0Brlg5indfUMCcGQEyLgcPiHXLtaLDPAIOgkdWp/Cxr9diw3YPwq1iuSM3vJGlY6gmaSKjBHURHzcK0RRRlKAb1WmJ3cPUCMCyC9MTK6xWt+uOqsAqzu9EUYWqXzqhUTF8qccT47NxNGEcdx7/b8eJIxl1LZa4b5FZmZdH+272LYpySnWbFyshRacDmhXCzBo0zHidqB5GzdCJOCZfK1+UMhAlDKzf4eFjX6/Fr1en5UWhCwpV8DcBlAXSnsCcGWVcfeEorjy3gEldDA4h4CVZTxEA/AzHvgGBv/thGmcvuQyrVs4/Z2io//Gtw4ux9LRp4+J3XAsOAMSZAyGGAOT3DB4cfPy7W59fMSI8kHwWxCHgnANOAOGWEfIAW3Y7+PptHn7+RBqf/MAQLllaQms9A9HVPA2UUx/YftDBU2t8fP6farBhmydzKfWEEs4YlltbdfkDPGWxXSRS0Aytu2pyQBTwXyVSkNgXoqWgoIp1h2Hdx9UHxzAk+vCI+IssryWJ6YolExJjQkmM2BSi50OyE4K5HLnwlTyoOkiBEB6/psLQzmlksTmndnKkihGgYCChwOzuAN++fhA3/ZPA79f42H7QkSfIPFoCoEygtZHhj5aW8Kn3D2Hu9ACiTBAUXZSYD8ZchMwFFxSlQMAJimhvaUfZO/3xbPM5e0bcEpb2pI94XJ0jbgHgC1/4CpasvLBvsNgw9PRL2auefWk/6nI+0i4FoQ5CCS2lfcor+UAfwdN/8NG7y8WpM0M0NQjdrDwC94adLr78zzX41o/z2L7PhfBIQgI06AlNAj32VsqOaIhiGHRH4qied4XVtrNn4o7L8TrHqF5lxXwrSkX0cxS/QqKH/L44Hlx+NzG2qaLmUCPhgkzgGYBVwJLGF2a8P3H2DswL2qhLUlX/Ny9wAsRSsD0hj7aLxAMJ9uYGgXMXB2hvZ3i110XfYaoS15XMGAicMinE335kCB++cgTT2kKwEkUYugiZjyD0UQ5SKJbTKJbTGC2mQATFmQuXo6d72vUjAxufaG8/ZUKG44gWXI+u9ploqq97Ztmi8J69ew6+85VXt4BQF0NlggNwUBAeIJjSQgXgCezvB378S4pSAHzlo8OY3hVChATUF9i008EXv5/HXQ9nUGRUojSqTUwrH7CXCYmjA+NWf3FtE8cAj9lROX42UrdMECjgaLMcneN4VcV7Y8qBpOLF2MNw/FRONJOeSVilz4SePCpni1ATQsm9tcWWPF7GWZFo4gjN1WF4NCmPZcOosCdiJSUKEaDqWUSx7OAcJBRoa2J476UFpFLAF76bR+9OB/AFSEjQM4nhS381hMvPL0idvaSb2rpg3EPIPJSCFEYLaYyWfIShQG3DPLTXn3FPTfO8Z8AGJgrb6pEE1cbCOa0ojBzYduUlZ143a0rd/ad0ZdCaZ6hLCaSpDJ6PgKjB6FNwh+Bnv0nj+lvy6N3lgqYFene4+Pz38rjrV2kUBQF8DQL9eY22JLCdCJEO0d5KWfSRGhNLR4G3wpkTWb/K+G8TrCbwkwFWNrAN+JrrJzrGoTJm7ElycyteRWnKlbErZkIyosljMqTW2k5Qq12KMLPzjSq2yWcOWVwoInwC4CUgBYErLijipmuH0TOZAUWCnq4Qf//xIfyPlUWQUICXdLEiJ/r/nFOEzMFIMYX9fTkcHGjBaNhxf03z8utGhw9vI+6kCR/iCVEUPb7z7W/gbW+7ZGDOzMmnOvzwChb0Y2sfxcECQcA5IEJAl87XhJEICA70bnWxda+DziaOb96exR0PpVESROeDJR4J7m1NOJVDh+p4E6NApklF9HqV2uVYdMNOR7MpC7GpSyLx1+6LaaaoacpCjG0M2mItV158ZppakqpEen2UWUQSFyzsfYouRpNOkMRFHb8XXaUWLYk/h8h3YV7kcewRzNgjfbkRAILAd4DZMxia6jkODlJ8/sMjuPTckizxxvVdSRYi4kKCHOrCGS64+P1LaTC3BzPnLL97/75dd3dOmns0kJ04RdGjZ2oHsrWTbs6S3h7i7Lj63ucHUCi5Etha39RHwhDAKRUYGCJ4eZOLFzd5KAUESBlHFokjXdWKx9Zb691Rdg5QMbG0nTnVwFCFf5q7ET0lKEvic8kxAQdmxbASjSP6QaAF8GiSSez4lJiGGFQm2sbwbJK49DIxgrQ4AOLE2/GIlijvJiBT3WjC3U/i1yQqW0Gi007UvnIGpNICp54SYv6MEHV5Ac5Ujqj+veqzEAClTOUBhyiFoxhgTUjzrp/0zFhw8/Ydu476uE6YoujR2TUZxYO/GJh/xuQPPvpS3RPplIO29GHk6Ijk4DBpitzpnCPwgVUF/PQrA/izywq44QPD6GxlQGCgqMJ0JDk4iXbYAjY1HTvCAiDVVsYKhU0oJxZgE10HrImUTUuOkowceSgsR4A3gC+sZTs51wZJgp4gUSxHJLaBTVk0l4+LBiXpiUldaARMSU/kORdRarzcO+oBO/c5uPnWHG67N4Or/7oWP7w/gwIzDIEg6vMylJqjiMFyAUGYwaqz/ScOFXs++P3b/nOge8rEqckxAxwA2qddghdfzI5+4SPvLH/9zxtw95cGcOXKAZDQQVyPhAABkKMc7181iq9eO4yWOo6ML3D24gAXLinDdYR1UhNTdwPYsSyYdOrERWXMmO/KieVYMSdJjm1OKi0LbaC7upVP4PVo8D+mp8dcJhUXgAlkO9oQNiA1EJFYb0wudeHOqBYij3l23B7F+D6Yr+MLzDwahAABAx5e7ePJ53wUywQH+h3c+I953HZfFiOCgHpqfsAchMyD5xLc+dsULr2hG9+9ew5q2t5TfveFzui1f/b2Y4Hq0VMUPWae0gMh+Ooab8kyPrIpE0LA87MQHkUYlCF4CTPay3jHOcP43IeG0ZDn4KG8b01uDvGpD4ygd5eLJ15IVZkJGOgweIOON3FhyH+wVZGxKlSNpXvHsSfm3cQGaRL05h6Syt20f8URgG5ZYeO2DWK/F1GTCMVmFKFNU3Qz00ji1pRYgTyOGtQlkY0aK0J6LU03fkWWfjWrLhBlwOtfTzyBp19I4R9uy2FnpIcD/YMObvrnWhQDglXnFDC1AWDcRaGUBuCD8xCl0VrMPOWsQmv7tNWUHpMdjjBzTCOTzSOTdj7XPnXFNx94fm7xt883YkoTRXtGxqMsnTOK79x4CF/+yyE0ZDlYAEn4uIAIBOZPC/G2FSXkMhxR1RgTGppbaFWFJKiJMVGykohR3SU/lnICYlvrCgueDKIynq0LI9o6cVOaCLjNdaJyuQLYCqxWfIqmKQrAcvukFY/pSmXzKhVGy2Mgiwpw04p1lXMoBSwHGC5Q/PLxFF7Z7EnLFAVMURwa9vG57zfgo19twOp1DgR30T9Uix17m3HWrAw++xdNxctXLf+mIN7n6upqjhngR6WiJMcXvvhl0Zde+vj+vlqnPYdl9e6I05QjmDO1gOv/uA/nLwpAQcFZ4gBwgPoCbY0cz73iY9teF6pCfkI1iZcJUcpJVLRHWXPDHW+qIo6hlli1UAxFJY5HiZUQcz2hhlJCTNXEVFOSiompcpgqSmJ72BcgknRqHHpFrQuTRJ8F9MWciII0qJUVJkFU4rF25CQnz4RUGgWrIKmZTG4knlMB6gFPrvXxtdvyONTvxqU99Ll1XDDuo3dXHr370qjL5TAy0oi9hzLI5qeVz1vafHND3Ya/zdYsC4+MxLHHMVMUPZb1iLKXav/q6GChvH/v0Bf7+hldPCeN2Z21GBpy4DlF1VI7TkkjhANFjpmTQ1y0oog1m3wMloRxP9FngkZnxKQkdjBVDAYtCY5lvc3ybJalTljwCEAJkl2NolQsVM5Gxx/awSOM1/ot8z2Dsgiium4Y3yGESnMw6QqJKYsOxEIc+apa1CgawgEZuMxVhGtlupuuVhvTIfOOE+84pQKDIwQPPpbGhh2ekYllzqco4PqgThrrttbhzl8RLJjmIyRpTvPdX2wfmPqN/b2D5deKz2MnN2q8771XYOHMQuHCc7vvOWPxPJFJCWRTHoYLWZQDT2mbsqsA544swi5kIXYiBK4+r4hJ7cw4UubMj0RWRPJvkaAiErxjOnSqPaolF2saYvx7i1tX4NaebFZA+ShjUUS1L4kmjcTCfoUzx1xn0hCYTh6gqhqivJW6QL7Js82OyuY6bnxOO3fMuHR9XLbvdfHTX6uihlG+bNxZWgfOea6L2hRBYVRgaDTE1OnzRej33PPky0FhyfLLXis8X7sFB4DGli60dtRs7B+uv3bFW5zvO+Xf0VxmFNl0EQ6Vjh/OHfXjBYRgMkUvFGjKM2RcpZ8LkUASiQDkGtbbDqKqvs6aWFYAOj4RVp9G6/ZcebseVzUZ4/XxHSQ2BMaEVCBptTW4hTqkxvvKpS9BqQrnEzW5FDDKFBP5mmLsiSWImhlrwMe7WQwJDg2p1nQ6lghKXdO6Cw/BSmX0Oy6Gi8DsOYv4aXNnXOvWdm8sDx88LkfsNVtwAGjrXIxdO5zyjAVLfjB9SvCpqZMJfv9qP753r8CBgTIcRwbShypCjHFPxR1Q5DMC559VQsbT1fb1CYztZhRzkrDeOlve5NK2FRcGl65GXYyJJqorIRG0Ii9dfBKrwO81DzHOimoTUHM7ET0Ty4pzDezIPS99ctxc1tYa5vZq8lnFivOEhq5/PyECowHBr36fwnDBbPzlAY5q4UhcgAlMbhjEdZfvwKJZeyAy9djZ733qjMWLf5AV/eWzFs05HtA8PhYcACZNmY6+wztZ96zLeu/9dcfQ1372cM3GDYeQ9XfiQ5cGYNxFGMqiuq7DZCQsEUjlSlg0J0DWBQrl6DBBm1AdVBVxbiTS0KitmlQr6FMN/LbbuYokGDNwxO/ELyu4OEElwo8H4onhudTWmRiUJeLn8k1BiJQAEVtx6zuAyENJNdAB6HRKrhYI5SrSwi7DbFXLIhLo1KRRBBgNgOfW+WAlF8hqcKdAqISbYCHSNMA7lg/h01cFONjfBLdxyVBt84reXXt3s1mzJhYpOJFxXCx4dC6cLDZsLt2/4oxlH/nYVW/vW7WiEfN7KAR3USqnUChmUCqnEIQeGHNVgI2MdIvOlDm5VHEVZnZ8pJJUKaJpg7yyzkklNydVqYsJrgoOXmWb4z2S3svKDRDLhUCFlR8rAbmq9Ie4aVUyyIqbVptTw4JTi8NHciSoctfLxI4o68rxQRwfaddBjUfhuR5C4mH1ulo8u3YOGjr+pG/69HM+0lIzen99Tea4HsvjZsEBoKG2EQBw8NDg7Ze9fbm7YAa/ORgcannwmf2Y3p4HpR6yqRIAIjNFRACzuI1FjpX+7VKZSKzrmkRAp5UWOsnHLesN2+pWFvQxn4lJuSPgWPr5CRiRiEKqrYz3weTfmtPq6YuMgFXWHERVc5WvCUR0uFVOsWxcZWbC6xmvIKp8mwyhJYRH1WplShxVNRF5rIdXeKVpNJnMOASNPkeNLxBQgildAaiYAlLz9gOdU5d/plwObk9lOo/7MT2uANejuakWgg3euvCM5fT7t23/ykOPPNvyjmU+eiaFILUCrsvgezS2ALHXxOIPRE0so/weGlvvyowdw3InNO5KmkIqLHPSSlsYs7j5+PA+cRNM4z9oNAORR1OCuxLsQExVOEiUUEyhGv1SEYOcK1qmpUPNzQVk2WVQpXnbiot2FilBNnHroaCUIuMI1PgCLXmByW0Ul67wMLln+oHpc5bduOdgcGtn27E7c8Ybx5WiWKfBqcVNtzzyg319zTecOXdGX6nsoRxQhJzGkxIhD6bnAySKO9GQTnZES1KSOGMnDm8VVXl3VXAbFhtHeD3WBJSQSjgfpUJYfYiqL+VyUgJETEHsop2RVmHQk3gyyZOv9aQy6q+ZeFiTTGpMOqkVsyJUsnJQjneIQB5/lwp4joBPOUIxu2/BjPob6sX9PzhR4AZOIMAB4IufXIWls9i/LT5t0kdnzmgf8pyy6rIQdy4OA+DxNSkMh8k0NR1YZcR50ziR2JxkWm1H6HjgHkMjV/urqctxG0eJdjLRz4jEM2KWF5VjElU4OMYHuW4mqzsRy2cacXSzsSxTXZRtXi/bE+YcYMXCEhxfth/knKtGsQSjRYa6xq4h7nZ99Be/8/8t03b1ccedOU4owAFgSkfAJ3dlftLR0XJNa1tXMeWPwvfLSHklpNIlrFnv4MHfZVAM3TjDABS64qjOho8LacaueMdYToKbVrXcxAY3EtY5oaQcEWfiuNhre5BxF8fYEb0/sC24jlcx47+TljxppS0QJ4FNwdQjkg+Nfpwa4L5DcfHyIk6fWQRKZYiwjGII9I1yTO2ZVmxp67gmFOmf7D0U8In8vNcyTjjA5y1+N3KpAZbKdtxV19D63nzd1GKpPIJDQ0UUyhw//U0GW/f6MbjN4vVE9QUiMaDNsmxxWYc4Ljwu6xDHlUQNQ5PgrlBJbI/mUdnycWWPiY9ovyb6bxNeRNOzCcSA5gZNsay3DrziBIwpUAsb5BLUJG7YKsxmsjTm4eo9xh1MbWO48rwRZNIFdNYdhu8MYv7s7mJnZ8d7p01pvWvP4TK77n+++8QBT40TDnAAmDr3fahN7WCTZv/x3SXa+r4fP7ZwdNVn2vHjR7Lo3e2iyA0XriK+LkH8iEAuYusdUZYqXNykJ7QKuBMWu8JkHw2yzThsvepoPk/s76l4a4LfFbn0BSKhPAnyGNxmZ2ED5Op9DWam+9xr4GvrzWLZMOqiHHFzCsYc+JRiekeAq88bxv1/tw/f+2T96KJ5je/rG/jTu1/oHWL/6+Mnlpro8V8CcABonX4Nnnj8R6Jn7jl3DJQXXvPHF88fWDzTR1sT4Lm+8nBRSz3RtETSFBVBaADcLMrjJOiJQ0gcIZjk3go4thWPrfdYmKpCfasbbVHtHXvZnJ+SxPI4H5vQSMahAAYPN6w5s7h2TEeYAjUXsfXmjIIxg5dzAsZiDq6lRQl4F+Wyh30HXLywrgUvbnvrwFvmz7/ma58p37Fs0b+Imz971YkBWZXxmsJlj3bceut/4m/+/q340g3s5WWzWndv3Nt1zq338uyuPgdwfdmknBBQx0GaEmQcIOUI+C7gOWZPS2GB3KoSRYlqQY4xJ506eMsEd4VHs9oFoH5HtL2lyqjQWNjrgLGTjismwLTKa/PCpagMba1Cu9RORreS+BqJb1VR9o1OkojiE5NXmnklkngNkWG2uhGZ4zB4bgjP5QiYB84opk5pQH3HykNrd8z5+I9+VffvizrKuPjia/4rIfdfINuOMTZu60PKdz/4Hz9/6qs//tlvW/YNHEJr3QDWbsuCu3nUeRT1PkfGFfAdAU/1nHKMeHC7MA9ks1YDwNXc8MmAKS31mcDWzybAzUx2c7Jqx5GTqERb/J5ep+kSse84xv47NAYxNeYXOgbdSvIgUL2OTICLqheq/L2xM82+g5kdOEw1SoUe0xjELpVdrl3K4bocvsvg+wHSfhnZdAEpfxRrt1HkU1n4qU509Zx3INdy/meB4IeEtJ8UnJ0QR89ExindjRgcGv3hR959DpneRL+ypfcXLadO24RP/FMDNu7Jwk0RWWtQWXBJT+wSEDFIiOXcSerWFr2OFkjFOoLK7fWIYrMhwSK0RTci+PT3CByj5TAvroThNG1xVW6uUsaI8vLo/UnKh3r/dWWH+AInKtJTtfMTshhVXN2WAoKD6hYk6vdTysFcCs/l2LyH4cbvNeC8Mybh3e96x4FUw/Ibw1D80POaTiSUxh0nDeAAUFuTRaFQ+MElFy0Nhw7glvLAYEN7/WFs3iWQcYCMK5B2Ade1a56Y7bST6yr49LFM+AAbpQKIWnQktheQXj9rWxPtE/h/SWoRqzrxcvSepicQVT4nrF2v7ByBqIqVuQ+mcsOpbMyqEx50xTX5s5R7nuomrPILXVc2YD0w4CCgs9B9ykWHW7rO+HSpTH6Uzx3f2JKjHScV4ACQyWTAWXB7ZvIZfRsH106fO8/92ur1r3g5N0QuBfieijtBfCKk9bZrBzomH0YCX8briUjXZnKB9UFi5lwKmHVAosSCqheJsEFl7lpyshmZViDqnJGUMxNfVfHNomJKG+2O9fuNH6l5NRWqAzG1J9UOEHVRZkzRmVCqKhQMwyMuTpt/fnDBue03nH/uot5MOvXzdNrDyR4njYMnx32PrkVHW5P/8qtbPvDK2o3fW/PsGkJFgaZ8eaQZ11VSY97r6GA1tU5TFJh6NoxmTeqPKXKMh/cKcCUcRVEVrKgiFkm8tksnJ8snm5q9FWcTfaeIUlXtMhh2AUzTeieHSEw0zcZVydNPjO+OSi8bUqzuh8oFQcikauK5IerrKJ/aM1c0dUy/Nl07/TaIg2VCzzzZkALwOrDgeqxaORe/e2ZdedGs9tvTCB6tdUev7O/b/6UD+/ciYBRDozLGWVd5dZ3YkusJnK7Qag5d/F1SU1Eh8RFRefIBRJZZG9SkJSZqyU4uqGLFJzAs7k9soFXImYmH/IhABb3Svx02qHUwVLL2ob7ZaKeYMDi4vmPpC0wIgqERByMFgY72SfByTX+TzvfcwUX3jsFDI+W65tcHuM1j+7oaP/r3u1BGnZPBob8pFQ5+bs3azc7z60aRcikyKRJNOiklCuhEFosnxLp9R3U+ePKEGkmziIE55gHSsqLpGa1QUWLr7ThG4XutojixBY+L3RsTZsd2ZFFDSSFWMrVpvUVVql8RgGUuG79X82ieuLDl/sn/6VIOxxFwHQHf5UinGBxawrpteTjpU1hPd8vfXXB2+xeff7mPnfmWy042dCrG68aCm+P9f3I57rvvPrZq1dU3BeUDLu559FMv7VyTIqVBUMLgUBoDhRK4riHDkfgkSs+c/E5u9pURcWx08s5ewVEht4n6wENmFXHEuYw6m0bHrZpNn8az5lX5tX5P060q1ITq+t7GtoB9x7HuVIaTJyrpVuHJjL9Ldxj2XBkaK4PH5THLZgjaWjOo7VxUqmu79B9mTmu46aH/fAAXXfz6A7d5Cl+XQ4h+PPWSg64W/pVX1/cuu/POB6hLS8uGB/vcMqNwKEXKo/BcDXKpO3MIcC4nQyGTFpxHoINxskV00nVJBVF1emaUVI7kSFJFzYmtdTQR1vy7igW3HFUOLK5rhiOYurRZwAgwJpxmyIAZZ8KTAI/XM07AGBAy+VpSQPm/PBdIeQJpnwPgGB7laG5qCJsbnKcWnHkRb2jteYqQ0o3bdtdhalf+ZENlzPG6Brg57vrZAyDEqxF8+F8O7Nty1WOrd9FyqYSGGg/plAPPpXBdWSCIc4Eg5OohgR4n1wrDugsDBNoaI9K2IUyeG6s0MV0wevZE1AQWqPV6k6ZocMfziLgnj+mppcZzMt5dWn9bmzFT1aLwV22pDXDr5lIhJwhCgnIABIF0JFMCeC7gu0DaF6jJlpHNOjg40sl7pk37aWtT/sPFUjC09Ow/OtmQmNB4XVKUauPyd12KkYEtQ9l8+qPr1ndv2jfw3HwRDL1zz66tcF0HmbSDlC8BFoTAaBEImR3iRyKFRXIOQYjq4Ct71ViFLE21IaIQClBcrqDUaM8HY5JpPgxni6UAJjTwitAAg5aY4DZ7DSUHUZRJ1haM91+D3ZIJNa3hQDkARgscAePyrugThK5AEITo7JqKSR3pe6bXLHqZ+JO+BV4cWnrmtJMNhwmPN4wFN8f27TuQy+a6N/Vu+uam3k3v3Ny7HiIcRm2OIp8DBBfYvJvg8GCIMORgDFH6ogYG5wIhA8JQIFA0xpIR1WvLtU/MuBCzWxqJpErbSutlGq13HfWeYcX1pE4uK0tORNR1TUt2JtCrDiMOnHGCMJQWOojaOcYXhwDAmLTeh4eArbvLEIIj7QEpD2hvrce8eXMwbdr0e6ZPP+XjI6Mj29rau072qT/q8YYEOAD09x+G57kztmzZelqxOHrdnp2bzhnpX4fOxl0ohiXc8XAjWOiAKS5O1WTUdeTkkHGgVOYolAWCQICZVlZbt4RWbofhxi0EHSqTozUVcRW4qQVqWgFw19EAFzFlUYqFGykZsRYdxakkJMFqAhDjBOWAolCiKJYpGJPzB88RcvJIgTDU8d8l3PHbQQwMejh9Zj3ecuZczJ8367F8PvetSZOmvhiycFNTY8PJPuXHNN4wFCU56usbAGCTEGITgJfXkKCj6dRp/7xnz7Mzbr9zjTNSIKjLUew/zMCYQCYFeC6B71F4LgXjAkEoEAQcpSDW2AlBfHtHzM0BgCt5UCixXU74CHQ/eKpuAVzINiTVYsUrXPF6deTQiXVw3cfSdWKAawVFfzEXdpKdjvDzVITgSEE+GJfc2k0L+J5AJsUQhgR7DjqoyQFXX8BwODyDLZizYFPaY3+xZMlZewBsIOQNawMBvIEBroc6ARvCUt8GwcO39RfR9SdXnXvnns2/qx0eXpf794cGMThYg+5mgXyWIJd2kM9SeJ4AoSFe3QVQQZDyZNSiq9qzRVIjl9Zdd2imBHCMMmVSuiOqhILRfcHg4RXZPgbCrQAxw5liejgdGjd7dRRFEUJaafC4kA8hSq/2GFIeQy04Nu/OYs9BF55LkM86SPtA2mOY1DqMvpF+PL2+HTPyc0eufNdZg3sOFq+obzhll+s4297owNbjDQ/w6IekGjFSFNvmzGnZsX9/ad78GcWl+czsf/Uae8N//enuxhB9NSmfojZP0NYYoqM5wMI5/dg6QLFmbS0m1TN4cUKRDA8QAiGXMpouIu9QQDgS1IwrIGruq6w34crjh3jiKgxCL7X0MaptIbbeJj3xXAHX4apKr5w0EkYRGsqInEBz+B5De9MIVm8o4BergRRSaKknaKn3kEu7SKeBrs7c0Gjfor7lbz3drc/6f97YOPvp1o7MAAD+ZgE38CYCOADk0lLjEGL9YaD5QcCZ+cyafyzd8r/vvP7Z1av/dLBvZzC5uTC7q7U/nfUPI5suY2ZHgMeezSCsdeGo0FxCJKjBZAuOYjkGs+coqCrLLTskxGoFjSx4bNG5+qwetp6eKA6aLH1BBVxXwHMYfI/DdWXLbcYpiiUXIdMTShrFkDhUIJ8bwoY9BNsOUOQ8BsfPoqE+XczX1b/aNnmy1zR1we3XffuKv//QB+5ItbXVFl/oPcDPmNd9sk/hcR9vKoDrQcgsQPrfRl96dStc1/2a6zpfO2fZLKepMfs9ikMzX3hl29kdNXudBafsxpSuEOUCkPEo8lkHIQdGRoVsZ82Bw0VgtEyR8wXyvgS3Dt/ljg1mSW1UVSmuLgRdaxtGRKTxqCxdYfBwRU88jyPlh8imy0inAhRKLsrlHIRwIQRFoeQgZAQhE6jLMWzZ4+LVbVnMndKAlctaWK522hMtNdkNPCxcS2nIqJPF7d+4T+TqekZP9vk6keNNCXBznDp7KhAz4HDT1sEPO26qYd7pfV8O+n7uz60tsGWntS8KRlKLa9x+uLQIAYYtZYagRNHdQXFa8wie6RXYvD0PAlVOjqruvla0XkxDpEWXy4TE8dNxuK+UBLXTCMTOztFDRk1yeA5DJl1GbW4E63eV8YeNdWjOeWhv5CiUGTbucMAZQVdbDlOntKIQDj43Uig/f9bCmc6fv/eCcl19018DpcOEvDHVkGMdbx6ydYzjrvt+AwDnCB5cVJsuXUFJcZZHhnDvo3/AH9a6eOsCgXeduxuPr+/HTf82BSmeQ1sNQz4tkEsRpDxI6U/JhJ4rZUIgzntwHYKUT5FJuUinKbIp6SX0XJVkoK4LGdAk4Lo8ugDSPkMuEyCfDdBUN4qQ9+GmWx08uaYDV62sxTtXlvDCNoFCuBgtDVk0N+bWz+jO3JnLOg8JIR6bPP28k32IT+p401vwI43LV70VAB4bGT78GEAe5yyYTtgB/uRL6/ip86ZMW7as87N+fh1OnT2IzuYAmzYXUeMyOEIg63vwPUnAgxAAhJIhpf4+WuDgQiDlUThUgPsicoWnUwJpX4BxgpEClVo9ESBEcuwgpAhCAs/lgCiD8xIcMoLQqUNX12yscPNYcuZUNLRs+6q7e/uWZWe8hU6b3Eg9z+sFxIMtzY0n+9C+LsZ/e4Drkcs3AMCDenmg/yBcN1U/0L/nqXC4hMbUSPCed036hAhxYZ3PQATD888/j6xXwHCJY9veEJ15T0p0Pkc+w/H0/hKCItCYlwVyXFcgm+ZwqEDGY2ioLaFQLmNtbx65rIfWRg+ZtI+OlkFs3e1gcDiHlpZ6TJ19KnwfyGXKAPjDM6YHt7Q0Z7zZc+aja/KFj102pdzf3t5ysg/h63L8f4CPMerqmwGgH8B9APDy5j24ZCVe5Yy1pYjg5XKALb0b4YGhTEKUuUAYsGDFyiWfpyhc2tk0EsxdMIgnnq9Fcw1Qk6Woybmoy1PU5QVqcyGaagv47Usl5Brz6OnKex1ttQ8c3vvs52vz3COUImAePL8GTe2nwnE9eA6nhNB9H7ocW/zsFHz2ZB+kN8D4b8/Bj+d48qmnAJC2kcEDdZNaBkWIftz9myY05QWyaYp8xkFtniKf5ajJMjTUFHDn4wFYMYtZ3XnS3d05IITYt/D0JSf7p7xpxv8D6+1nF7woDLYAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTk6MzE6NDErMDA6MDANZ8Z2AAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE5OjMxOjQxKzAwOjAwfDp+ygAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 221122000
{'hecke_orbit_code': 54043195562001545, 'n': 1, 'trace_an': 10}
-
id: 221122001
{'hecke_orbit_code': 54043195562001545, 'n': 2, 'trace_an': 0}
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id: 221122002
{'hecke_orbit_code': 54043195562001545, 'n': 3, 'trace_an': 0}
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id: 221122003
{'hecke_orbit_code': 54043195562001545, 'n': 4, 'trace_an': 18}
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{'hecke_orbit_code': 54043195562001545, 'n': 991, 'trace_an': -52}
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id: 221122991
{'hecke_orbit_code': 54043195562001545, 'n': 992, 'trace_an': 0}
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id: 221122992
{'hecke_orbit_code': 54043195562001545, 'n': 993, 'trace_an': 0}
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id: 221122993
{'hecke_orbit_code': 54043195562001545, 'n': 994, 'trace_an': -168}
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id: 221122994
{'hecke_orbit_code': 54043195562001545, 'n': 995, 'trace_an': 0}
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id: 221122995
{'hecke_orbit_code': 54043195562001545, 'n': 996, 'trace_an': 0}
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id: 221122996
{'hecke_orbit_code': 54043195562001545, 'n': 997, 'trace_an': -112}
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id: 221122997
{'hecke_orbit_code': 54043195562001545, 'n': 998, 'trace_an': 0}
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id: 221122998
{'hecke_orbit_code': 54043195562001545, 'n': 999, 'trace_an': 0}
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id: 221122999
{'hecke_orbit_code': 54043195562001545, 'n': 1000, 'trace_an': -430}