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{'Nk2': 7436, 'analytic_conductor': 14.844189735756023, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[11, 1], [13, 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': [1859, 1, [508, 1354], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 756, 'field_disc_factorization': [[2, 2], [3, 3], [7, 1]], 'field_poly': [-2, -6, 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': 0, 'hecke_cutters': [[2, [1, 1]], [7, [-2, -12, 0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543038275, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1859.2.a.e', 'level': 1859, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [11, 13], 'level_radical': 143, 'minimal_twist': '143.2.e.a', 'nf_label': '3.3.756.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+\\beta _{1}q^{3}-q^{4}+(-1-\\beta _{2})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1859.2.a', 'trace_display': [-3, 0, -3, 0], 'trace_hash': 1381813601099666378, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.883', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '21.588', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': -2.2618022452599718, 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543038275, 'label': '1859.2.a.e.1.1', 'level': 1859, 'weight': 2}
-
mf_newspaces • Show schema
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{'AL_dims': [[[[11, -1], [13, -1]], 25, 4], [[[11, -1], [13, 1]], 40, 6], [[[11, 1], [13, -1]], 37, 4], [[[11, 1], [13, 1]], 26, 6]], 'ALdims': [26, 37, 40, 25], 'Nk2': 7436, 'analytic_conductor': 14.844189735756023, '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': [1859, 1, [508, 1354], [1, 1]], 'conrey_index': 1, 'cusp_dim': 169, 'dim': 128, 'eis_dim': 27, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33556291, 'hecke_orbit_dims': [1, 1, 2, 2, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 8, 8, 9, 9, 21, 21], 'label': '1859.2.a', 'level': 1859, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [11, 13], 'level_radical': 143, 'mf_dim': 196, 'mf_new_dim': 128, 'num_forms': 20, 'plus_dim': 51, 'prim_orbit_index': 1, 'relative_dim': 128, 'sturm_bound': 364, 'trace_bound': 6, 'trace_display': [-1, 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mf_twists_cc • Show schema
Hide schema
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id: 43897081
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038275, 'source_is_minimal': False, 'source_label': '1859.2.a.e.1.1', 'source_level': 1859, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543038275, 'target_is_minimal': False, 'target_label': '1859.2.a.e.1.1', 'target_level': 1859, 'twist_class_label': '143.2.e.a.100.3', 'twist_class_level': 143, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43897082
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038275, 'source_is_minimal': False, 'source_label': '1859.2.a.e.1.1', 'source_level': 1859, 'target_conrey_index': 133, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 274911461519, 'target_is_minimal': True, 'target_label': '143.2.e.a.133.3', 'target_level': 143, 'twist_class_label': '143.2.e.a.100.3', 'twist_class_level': 143, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43897083
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038275, 'source_is_minimal': False, 'source_label': '1859.2.a.e.1.1', 'source_level': 1859, 'target_conrey_index': 100, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 274911461519, 'target_is_minimal': True, 'target_label': '143.2.e.a.100.3', 'target_level': 143, 'twist_class_label': '143.2.e.a.100.3', 'twist_class_level': 143, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 43897084
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038275, 'source_is_minimal': False, 'source_label': '1859.2.a.e.1.1', 'source_level': 1859, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425149763, 'target_is_minimal': False, 'target_label': '1859.2.a.h.1.1', 'target_level': 1859, 'twist_class_label': '143.2.e.a.100.3', 'twist_class_level': 143, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2259550
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 18014398543038275, 'p': 2}
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id: 2259551
{'charpoly_factorization': [[[-2, -6, 0, 1], 1]], 'hecke_orbit_code': 18014398543038275, 'p': 3}
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id: 2259552
{'charpoly_factorization': [[[-23, -9, 3, 1], 1]], 'hecke_orbit_code': 18014398543038275, 'p': 5}
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id: 2259553
{'charpoly_factorization': [[[-2, -12, 0, 1], 1]], 'hecke_orbit_code': 18014398543038275, 'p': 7}
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id: 2259554
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 18014398543038275, 'p': 11}
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id: 2259555
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 18014398543038275, 'p': 13}
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id: 2259556
{'charpoly_factorization': [[[-49, -21, 3, 1], 1]], 'hecke_orbit_code': 18014398543038275, 'p': 17}
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id: 2259557
{'charpoly_factorization': [[[-66, -12, 6, 1], 1]], 'hecke_orbit_code': 18014398543038275, 'p': 19}
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id: 2259558
{'charpoly_factorization': [[[16, -24, 0, 1], 1]], 'hecke_orbit_code': 18014398543038275, 'p': 23}
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id: 2259559
{'charpoly_factorization': [[[57, -39, 3, 1], 1]], 'hecke_orbit_code': 18014398543038275, 'p': 29}
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id: 2259560
{'charpoly_factorization': [[[-536, -84, 6, 1], 1]], 'hecke_orbit_code': 18014398543038275, 'p': 31}
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id: 2259561
{'charpoly_factorization': [[[-279, -81, 3, 1], 1]], 'hecke_orbit_code': 18014398543038275, 'p': 37}
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id: 2259562
{'charpoly_factorization': [[[73, -63, 3, 1], 1]], 'hecke_orbit_code': 18014398543038275, 'p': 41}
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id: 2259563
{'charpoly_factorization': [[[-24, -12, 6, 1], 1]], 'hecke_orbit_code': 18014398543038275, 'p': 43}
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id: 2259564
{'charpoly_factorization': [[[122, -54, -6, 1], 1]], 'hecke_orbit_code': 18014398543038275, 'p': 47}
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id: 2259565
{'charpoly_factorization': [[[63, -45, -3, 1], 1]], 'hecke_orbit_code': 18014398543038275, 'p': 53}
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id: 2259566
{'charpoly_factorization': [[[182, 42, -18, 1], 1]], 'hecke_orbit_code': 18014398543038275, 'p': 59}
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id: 2259567
{'charpoly_factorization': [[[189, -27, -9, 1], 1]], 'hecke_orbit_code': 18014398543038275, 'p': 61}
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id: 2259568
{'charpoly_factorization': [[[-202, -18, 12, 1], 1]], 'hecke_orbit_code': 18014398543038275, 'p': 67}
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id: 2259569
{'charpoly_factorization': [[[6, 1], 3]], 'hecke_orbit_code': 18014398543038275, 'p': 71}
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id: 2259570
{'charpoly_factorization': [[[-2483, -249, 9, 1], 1]], 'hecke_orbit_code': 18014398543038275, 'p': 73}
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id: 2259571
{'charpoly_factorization': [[[22, -36, 12, 1], 1]], 'hecke_orbit_code': 18014398543038275, 'p': 79}
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id: 2259572
{'charpoly_factorization': [[[-294, -84, 0, 1], 1]], 'hecke_orbit_code': 18014398543038275, 'p': 83}
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id: 2259573
{'charpoly_factorization': [[[-756, 0, 18, 1], 1]], 'hecke_orbit_code': 18014398543038275, 'p': 89}
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id: 2259574
{'charpoly_factorization': [[[116, 84, 18, 1], 1]], 'hecke_orbit_code': 18014398543038275, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '1859.2.a.e', 'level': 1859, 'portrait': 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yqo+QJJTBAkNGsJ7Z7P8TkYGh9jLZduDun0Es4saKYaHhdtjtm+oUu9NkRISxgKWr0q8y2fqZrAkx5n5nwOnRYcOxdzYjEmqPZ4/Q1d3nYTBHKSA8ebnDivOJsx97zl0ILlFVfM87PvW2bz5CTHzs5wdqHK/JJmoSVZaccO4F13PmNRozazxezatfmjE83qj4RR3P7P//o7v9GQ+Gs9/k4DfGWlRRgnKCl+8bGnj7zyZ37rU/JtNxx65Y9/6zk9v7SepXaDpXaF5bbHclux3IGlVsJyK2KxlXB2BQ4vCNatW+E/fO8iN15S4+T5ac7M1TmzoDm/aDm3EHNqPmGuEzM5PeBVV3W5+VLwZZVABZxfqnB2QXNuSdAbQhwbKr6hXkmYmogxwPFzMe0u7NjgUa8OsVaA8On2Dds3Dllc0WCdFFnpwjAGi2WpFbJlvUenrxDKIsyQZsVj+6YBKz3B8TOaxGhmmpJGRRB4EMeC3lBybklydtFyfjkmCAbgxdxyeZdXXiFY16yyuNzk5PmAMwtwfiHm/FLM6SU4vGh5xeUL/Pz3LrNxssmJc9OcW6gxv+yx0JIstRJanYiVbsJK17LchTNtwdnFPr/6zwfxu1/TfKiy7gdMpbn3Iaz9GaSiWm1+o6FywcffWQ3+R3/6CW656Tr+9b/617/wyc9++V/+yce/dPG+Yys7953qy9uuarF7c0JiNO4eFYDEIgHpfhYWLSyBhDNLFR45qLhq9xKXbhtQq4CnJb6n8H1NvSqpeZJe1+PAsQpffNLn+NyQdhxx4OSQDTNLvP1Vy1x1cYdXXNri2ELMQk9QCwYcOWNptetceZFkZZCw75iiUdO8cBwu2WwZhAmDxEfriKkG7D8ZoHSCJ2O0B/2h5MZLe/R7kqsuTmj3E46fabBro6JeC1kZWtZP9ljutvnol+HpownPHh2wY/MiV+9tMzUd8tZbOnz7ayy7NzZIokmOnp7g8CmPk+cMp+YiTs0lHJ4TnFiJuGbPPP/heztsmJzk5Llpzi3WWFjxWGwLltuGVjei1U1odS3LHTjXlZxvGa7fs8CPvG1BauTOE8dP7+r24pua09ur9cbUlx576NP83gf+7BsNmTUffycZ/At3fZo33n6R+tCfP/vvTpw692+f33dMnV0cMt/RHG/Dnm1z/D8/Msc1u2qcW5xiqVVLmVyz1HYacrmdOCusE7PQgpPLAl0dcOsVS3zna0J2ra+z0m0yt1RlfslnoSVYahkWW4bljqHdN7SHlt4gZqYZsX2DAQSBZzk15yFkwI71il2bLZvX9zi/POSZgw2uv8RSqy7z/KFpGvWQMPSYmTL0B3DZ9gEf/vIke7fFDIeW2QlJlPRpVAJeODag6tW5dk/Ms0dCzi/6bJkJ2LUJtm8MUSri1AL4nkUIy44NMVMNSacf0O15tHseS23F0gostgxLrYSFVsK5FiwOErZv6fKdr13g1ks1Fa/J2YUmC8sVFlY0i23BSsuwkjF3x7LUhfNdybmVhFfsPc8v/fASF21scn5pkrmlKu1eg2pzV1JtrP+FJw5t/fmLN80n73znO7/R0Fn1+DsF8HOnX8DzK9XOysntzzx7+D37Xjr3H5/fd4LeEFo9y1JXcK4jOdFOuHbXHL/6wwtcfVGNueVJFldqLHcyuZIGSh3DSidmueM83/MtwZmuBdHlXbe1eOuNhos2VQjDGsutCitdn1ZHsdwVdHqCwdASxpYkASUtgQfVwDLZtKyfjtDegMNnQ547FGDiOm++KUR7Kzyxb4Kdm+Dzj8bcdmXAXKtPRSviJGJ6CuLIQ3sxi4s1XnVdm88/3GDXJnj84BCPGm+60RCLPs8dTjh6qoKWPhumNFN1QTUQ+L5ACYgNhJFlEEKnZ1npGjo9w0rPsNi19JOEHVt7vPXmFu96ZQimweLKBHNLVRZbniODFqx0ElrdmJVOKkt6cK6jmGsnXH/JeX75R+a5bLsjk8VWneVWheWOZmkFhL8R6c/+X9t37fmLS/dsP9HrDfrXXX35NxpK+ePvDMCfeW4/E1Pr/dMnDnz/wvmDv33y2D5x6lwol1su4Gn3Da2eZbkrON9VnOpE3HDxHL/8A4tcd0mFheVJFlp1ltsBrY7Pckez0hG0OpZWN2GlE9PqGpa7lrmO4GzLMDXZ4w2v6HDLpTE7NiiaVY92p0LgSUARxhJjBMZCbwAIw1RjwMHTFmND7nm8zrBX5eItPrde1SMyK9z/5CTXXuJx8FyX1nKTm6/q8aUnAjZMW/Ydt/zYO9vsOxawYVryxScVt16mWOq1OXJymmv3hNz/XJ94WOOWy312bxvQj7t84QkFieDwKU2zptECen2JsYLEWKIYkAbtG1pdS70RsW3TkFde1uMN18fM1CucX5pgcaXKctudm+W2oNWFViem3Y1Z6RpaPcNST3KuI1joJNy0d47/+EPzXLWzwtzyFMutOiudgOWOT6urWOkoFpYTOgNtbrv1KnvdNXt/dO/eS/9g7vz5cMPmS77RkAL+jgDcmFAOB4O3f+XLd1186tzgV772tce8ddMBCEGvH9PtJ3T6hk7f0O5bVnqCuZ7iVCvhlkvP84s/tMD1F/msdJrMLzdodSusdHxWuppWR9HqQadrafdi2t2EbnqzzHcF812IkiFXX9Jn43RCt2d5y81Ddm40xIlES0sYwX3PVDgxV2HTVMzzhytgaly6VXHdXkNQ6fHEwR7zC3Wu2FmnObnMw8963HBJhcXeCsvLTTZutDy6T/Hdr+vy2D7N1vUeC90Wy0vTXHdZj4efT5iuTnLFxV3mWi0efXGSqq7zir2WPdsHILs8c1Swfjri/HzE/c94DCKFlJAYy85NIW+4OaTTVWyeMlx3CYRhzcm3VsBK16PdU7S6knYX2r2Edjeh00to9wwrPctSX3K6LWj1Q27dM8///YNLXH9JhXOLkyy3a7S6Ae2uR7unafcUnZ6g27fEiWV2Muaqq2+MFtvqJ9/6lm85VK9VP+sHnvlGY+sbnsns9Xr0esPvPX74yV+bO3No+uSxJTbMBkghSaxFa0ngWRJjMUa41Ly1CJEgheKxgxv4mQ94vPPWJd77uiV2bQk5t9gk8KtUA59a4FGvajpVSaPvMVHX9AYJ3X7ChqGhP7R0BgFL8xVOnbSEseH0uZggsIDAVxYtBb2+QuAR9zTX7BTs3mzZvqXHMOlw12OK/YemeOP1Adddtswf3WXxRY2dW3o8+7Biy6RittmjoqqEkcdcB+oVzdYNgqf3h1y3p8prrl3gD+/s43sNXn+TxQt63PtoyOcfqfPi0SoXba6xc1PCuqmQXbMRV+5MUMqglQUstSBg3WRAGHl0ej7PH/ToDjS9vqI7kHT70B1Yur0kJYyEbt/S7ltafZjvKc4tW2oTLX78LfP8g1tCrtpV58xCk1anSrsb0Ol5dPuK3lAyCAVRDMY6jlxsae69/0lP6olfm5hcv/Sa2278P3r93h/WqrX/fQE+HPYQiB986cAjv/j801+Z7nfaTE14hJEkiiFKBFgJ1mKxWJt5JhYpLEok+Ery/KFZnnqpxsEzc7zzlV1eefmAyUaTpVaNertCs+/T7Wk66cXuDzS9oWYwtAxCQxhZosgxUZxYwtjHGpBK4GlBxRdMNgRTDdg4a9i6ocfsVIu7n4AHnvKQZoI3Xu9xzaUdHnwxIhw0ufUaQavfZ26xzi17DLOTPao6YBAr5tsRygiu2aOpNYY8eaDCq6+b4OarOzx5QIGd4PrLfX7gbUt86emQLz5WZ9+JCtvXKTZOV5lq1JhoQDUAT1uUBGNh31FBkgiiWBDGMIxw33GY0B8aBkNDb2DoDQ3dPrSHMN+VzHdhYAbcce0Sb39li3/4eksUNTi30KDdq9Dp+bR7mm5f0x1IegPJYAjDyLpzFxvixDIMEzrdM8wt3j0dJcl/ftPrX6073d4HGvVvHMi/YQAf9JYR1vzAiSMP/uLxg19ZT9KhUdfo0DIMLWEMYSRQQiCEAiFS1gYpXRZRKYunEipastCr8pEvb+Xep9rcduUK77tjhSt3dZmZrLG4UqPTD+j1vRTYyh2hYBhJolgQx26pd7VbLqjUGio+1KqG6UbElvU9YrocPB3x0fsrHDlZZzKocsPlmluuavPoSy3u+VqTmy6psH1Tjw9/WaBEQLMRsdIdYiwoAeuaPdodHxNXefttc3zk8zV2n6/w1pt6hNEi9z83Q5RUuPHy9bz1hjaXbGtx75M9nj1Z45mjPlunJdNNQS0Q+J67CaUAISzGgjGWKE5v1sgyjNyNPAihH0JnIFgeCpY6IPSAa/as8L43rPCqyxNmG9VUa1fp9n26fS8FtqLbl/SGkv4wu3EMYWQIY0MUGYaRJbaKc3MrfPQT96wfDO0vfsubXmXnF5Y/uG526u8/wBdaFqURwZMVu3L2s9/X7w9+Ze7U/llNi2bDIwwTlLJoZfEiiVagpEBKgZTKgVtk7xm0MnjK4mtDRQuWB4ql1hQfu6/OI893ufXqFd73+hWu3d1iJqkSxwG9QYVu36M/1ISRIoolcSJJjMBYka8OgW+oVWICP8T3hpxeHHLn45JDp3yOnppCmYDdm3wu26W4/tI2KpjnucMNtkzWuOIi2LhumaV2kyu3SGJjufuxgGFPMlmPedONAz57f8SJcw32XuxxdmXAC0c8tm2Y4upd8zz4bIeHXxAMQ59Ld01z6baAS7d2OHx2iUOn4bH9NQ4eqVPTgkBL6oGl4oGUboWz1t2scYIjikTQHQraA0E7gtDEGDvgFZe0ed8b2tx2ZcKm6YD+YILFVoVOL6A78OmlwO4NFP2hoDcogTtMGIYpwCO3CoaRZRjDMJIsnmnxpx+7d/3zB8//SrVej//Tb979RzH7+Xf/7Cf+/gI8SQYgKred3frQB83i70yreHm2pivIpu9YW2t0qPCUYqgtWkmUFCgl3LNU7rUyKJXgaYHvGXzPEniWmp8wWRF0hh7L7Sk+8UCTLz8zYMNUj/e8tsWl2wYM+l2u2GXZtlExjDySRJEYic3ALQ2eTjh+3nL0nGClb/jMgzVOL0xhQ4+pimLzjGbHRs1FW+CK3W2MXOD9n62ztDTBTZdqrtjd4t5nBCL2WD8lqddiepGPtBKsRGmf1kBwfklwua3x2us7PPRklc2zPjddMc0/ftsCf/D5Do8dqNMdeCyuNNi1ucreTT1u3NPh217d4czSEp95MGCxF3D8rMfp0z6eEkgpEQiMtSQGImNJYsPUTMRVl/cYDiMu3Tbk3a8dsn5CMd0IiKIKZ+crdPs+/aFHb6DpDzNgS/pDQX8oGAxhEBqGYZKzdyZTsudBuvIOIsX5k20ePfjI7CuumvrNN75qOvrDzy382Qf/7Df5gX/4z/7+AfxH/+OH2TBdEX/wkd/ZtbJ4YM/O2X284RVVhDT4g4SB5zMYGrTSaG3QoUIrlZaLSpQErQRaSXSqjT3P4OvEMbhnqUaWWmiZqCRMVQW9UNIJ6xw9VeeX/2waTIyIY66/qseujSFxDMYarHVJHCkEUgm053PghM++QxXqFU3Dl8zWBOtmJOunNZvXKXZsSti7Y4VELPJbn2xy/MQkN+3xuHRnQj/u8LXnAiarHjMTlslGSK3qpJAxktZAsdS1LLYSWt0qr7pihcf39dh/QjHZrHDj5ZP80NsX+W+fgicP1en2LSsdzfmlJhtna6yfGrBjZsC/+o4ezVqLZ4/CgZMSz7MoZRHCANb9z0Icw86NCbdeGZNEHlEcYG2NQehxbsGBuj/UDEKVy7d+KBik4B6EMAxLrB2aPHYZZkeq+YeRoB8J2pFgORSsrIQweHpytrrp93/txy6J73j9HR97z2v/q21u/fG/PwD/xd/4M67ZOa30z/3Ruz74mYX3P/zUGe64psmujR0u2Wpod+vofoLWHp728UKNpwyeMmil8LREK4mvpQO2Fi7N7kmGniQIE4aRpRoZhpEhDC3NGIaRYRhDGAsGkWSYBERJhf2H6jyzHxJrcdB22tiT4CtX89EI4IpN0KzCRF0y1VDMTGrWT8P2jUM2rVshskv81icnOHxkgusuUly0VbJ76zJfeSHm/OIE1++STDUNFb9PIAOsEsSJRFhLnIQsdyucX/S47tIq1+zp8OCTFTZMCWqVBtftMfz4uxb5zU8ZXjjdYKVrWOko5pc1s5N1pppVppoTNGsR6+oRO64LCbwYT8colSCFCyYs7qaKIsXcvCaKFVGsCCPFMEqfQ8kwkgxDySCUDEPhAtRQMAwtwzA7r8X5HY6BexAJBhH0IkE7kqwMod8fcs2uRX70O5a5+dL5WqIqf3TmpfvMQveaTx5+/k+S3Vd+zzc/wH/rd/6cZr2injl87t0L58784b59Zyqo9dz1WA1PC37+h1rs3ZLgqZhO35WTetpDa42nNZ62eKHC05ahtmkNiWAQCgJPMPQVYSQZhoYosoRxkkb2pSOBOLEkiSExOL1tyMEtBG6FkOB5EGhBJRDUAkm9ppioSaYmBOunY3Zs7NGor/DJh0Luf26alYUmV21X7Njkccm2AYlY4e7HatQ9zbopRaM24LnDuI77bZbeUHH1JRFX7bacO5swv+zTH9R48w0dvvpsn4OnFfWqJPCbXHmR4ee/b5H7Xujz2ftmWWxbdqxPWG5pJpuKibpHo+ZRr1oqgSHwDYFO0MrmgTg4FjdGYIwgNpI4EcSxIIolYSyIIskwEnlgH0aWMIRhlOQae1jW2aHL8A4jGEQwjB1rdyJBKxJ0hgYT9blu+xL//gcXeOMrBO3uDO3F05Uh6/4E7+g/6pvpjz/36EeTq276X1uV+L8c4AIrF5db7z124vTvvHTwWGV9w0MOJEuiwV99TRAOFd9+e5vvuL3NzGRMp1dB6wCtfTyduMPT+KHC14rAc2wT+OlFyQ9FFJNajJY4Lmy/ODEkiXMXEps6JalbIoRwjowUaC3wtSDwJZVAUq8KmjXLZMOwYXrIuqkOsV3hY1+V/MHnZ1hfqXDVdsH2TR47Nxt2bFrmk1+zLC1VuHSjYqoJjVrE+WOSueUAf5dbwtdNSCYn4eBRy3LbcG6hwiU7K7zu+g53PlBhpgGB76PkJFfuFvzwW+fw5Bx/9eAUL56usKEdsX4yZqKuaFQVtaqkGmgCHwIPtHaBehaU5yDH3diJgSQRxAkp0CFKnHMVRYkjhRTQUexckjByZQEZsIcRDGLBMIZeJGlHLoDtDyKafpvv/JYFvuM1XV53jWSl3aTdq9EbVlluHa94Nf/3a02lpfT+HMcz35wA/9M//zRJYr7vsSeP/JdDh080q77CYJlMDMZKVkSdu5/QfO3FKueW5/mxd3WYboZUgyrtXgVP+/iehx8m+FoTeNnSKgkjl0oPI0EYO5BHKSvFMUQJJIlzEoxxAZcxNuvhTMHtAK6USHW9A0glgFrF0KjGTDZi1k32mZ1a4aH9IX9yT5UDRyfZOeGxeyNs3eizdQPs3d6mF7d5dF+TqvJYN6WYbMBkY8jURIzva4RwN1d/6LPUjljpWVrdmLlln+0bG9x86Rz3PNbjwOkmtSDCUz5CTLB7i+J7Xr/AK/bO8Sf3NHj0+UkWu5r1zZjJWkytIqlWFIEnCDyJ57lYRSlS+9Ch3OJ6WI0hB3qcmHR1S63F2BAnhjB2JQBRbPMVMYydKzOIhdPaMXQiSSeBXt+QRH1mqm3+6bcv8q/e26fiB6y0GnQHFfoDn0GoSaxHe+FEsz8Uv7Vu4+X+04999g+uvfHt33wAb7dbKCl/8E/+/FO/ePr06ZnAk1ggMJD4FotBCsmyrNDqK/7LX3jsO7zE21/d5bXXtNkwO6TdqdIf+vieT+Brwig7VA7wKJKEsVt2ozj1tBNS64+UuSXGUoDbJSlT5gatXMLE9ywV31CtxDQqMVPNIZtm25xv9fjtz3jc/fg0S8t1Ll4n2L5esGW9z9b1gl2bB2h/hY/crzlyss6eDZKphmSiniDlkNPzlkBLpABrBWGk2bG+zWMktHuK5bbl/FKVPVsrfNtrW3z8Xp9j5wM8HSGEh7F1olhy/a5ldnxXm7uf7PHhu6d54lidLVOC2XpCvZJQ8Z1s8z0Xq2iFC5ylyGsysoSZsTinJXGAz0AeJ07SOR+dErDT5FHigN2LJJ0YepEh7oZsnW3zmutXeMdtXd70CoukzuJylcEwoD8MGAx9hqGLAeJYMnf+7ExQ2/krr7j1Hard6Xyg2Wh88wB8YXEF0P/4zrvv/8Unn35hvZLgaZGfVGsF4KJ9iaAtfDrDKT5yX8B9z7W5bm+b77qjz1tvXmF2MqA3COgPfaLII4w9wkjngVIcOy87SjJtKUkSQWJEobWNIFcl1jG3FC5R5JJFBt8zBH5CNYhpVIfMTnbpR33ufc7y0a9M8Ojzk0z5HldusWyalmyY8dm8TrJ1Q8hFW5Z59lifz3x1HRNKs25C0KwLmrWIVi/h81+r0PAtQjhg9Yeat9865HOPuJqYVtcwt6zZur7BO1/Z5dH9HfYd9KkHMUoKB3JTYxA6rf89r2uxZ9McH7mvzcMvTnJiucrGpmCiYqn5hoo2+J5znZR0N7JjcsjKj0wq1YwpVrg4BbojCJdJjpIC2INY0I0FvQQX84Qh9WqP73zjMu99fYvr9xjWT3n0elVWOgHD0AF7EHoMIp0GtZI4UcSx4MypfetPHpn9xUsuu80MB60PBZW//bFyf6sA73ZaLC138T35vfc98OCv3n3Pl2darRZay5Q1UnBbR6FCOJ3oSYMvJR2vzql2wJlH6jzyXJePX9Xm3a/r8aZbB8xM+gyHrtYijD2iyMsdAXfCJLGRJEkBcGNT5jZFTZkQNg0qXR2H1gbfSwj8iGoQ0qj2SejzpSclf/blSZ4/OoGIAnZOWTZNWmYnFeumfTbOSjavi9i+sc3J+Q6/+9k68bDK1q2CyYamWYdmLUJ4Ie1+ncmGRQiBtRDFkulAEZuYTuTT6SUstxWn56tcflGDH/nWFX7lzwOOz9fRKkpvDE0cVxiEko0zAddf3Oaqi7q8cPw0H/1KlXuemORMq0o9UDR8qHsWX1s8BVq6dL4Qo9V1BrDG3XSJESQW4kQ4/zwRhIlLEvUTQT+BQWKJ4hgThsxUerz5jhXec0eH266MaVY0UVxnacUBO4w8hqHHINQMQ2dBhqEiSjPHxko67RWeevz+9f2h+tXde26I5+bO/rHvV5mcnPy7CfAo6rNutvaOZ5996r89/ugDTWl6NGseUeLiiMy4smnHjRQirSkBT1kCKehIj36smBsG/NUjNe5/vseNX+zyE9/e4bLtbdZPKppSE0Y+YewRxzoHuQO3JDESY91NZa3I0++OuU2aLTVoHRP4MZ4Kafcj5tsRv/HJCkfnpnhy3yTW+MxUBetnLbMTgpmmYmbSY8OMZONMzJZ1PWYml7n7KcMTL05y1VbBVEPSqEmaNUO9GiK8IUGg0a7awGUZE0l/qOkPImIjXKVk17LU9ji32OSWvV1uvnyFj3yxQnVJoWXkAGk1ceITRpL+0GN2ssIrdnd5xcVdHnvNGY7PS/7knknmVmqcWgzwlaTuCfxMhklHKDmRZ1IFx+SxFcQGIiMYJrikjbGQxBBHKDVky1SfK3e463HDZQnNqiaO67S6AcPQJ4o0w8itssPIYxhmVqSLnVz8JNN6GY+lMz2Onblv5qa2/G/XXHPtcqfb/8zfJib/1gAe9R5HVzeofU/+8cWnjxxveqLN1ERAb5AgI1cglYEMCnDL1KLzYwgkVLWhHwu6nk8/9lgMa9zzxAQPvdinHgz5R29psW0mZsfmPrdc0UEL1yImhJMrLivpaqWtLTE3FiFdgdYwslhikDEvHJU8vl9z56MNXjjRIIxrNLRiXdUyXbdM1azzwZua6QnNzKRg43TM5nV9Nq1b5v7nh7z/zvVsmtSsa0KzrmjWBY1aTDUY8tBLikGo8eoOVNYKwlhS0Ypr9/R55LlJV/jUT1hpeyysBJxfmOJH3nqeUwuLPPL0OjwJiAgDxLFO2VHS7WumGhUmm3Vu3tPjNVf1+K7b59l/0vC5Rys8ur/KS0fqxEIzHCp6kUIJiRBiLPBMcwLWEBuLNQZPJEz4IRUibr6uy65NA7bORrzvTUOqvqJe0YRRjVbHJ4w8okgTxjp9VinQVckMcD57GDlrchg6q7fbV5xfXOT4p77c/NozJy7+qZ94n7r30ReSO2664u8OwFfmH0XrLf7Zk3d/v1KL/yWQZ6hVGgxCQZzYVJqYlLvdiZWpVJASVGyJpHB6OLEESlBLYKAF/USnR4VOJ+FXPzKFjSM2rBtw+fYBMxMx735dn+3rQ6JIpHpbQom5SfWnlAYhBZ+4r8qzh+sIrTl+psbp8zUqVcVEIJisW5oVQ7MCjapgoqZoNhRTDc3MJMxOxmyYGbBlfZvErvCJrzbpd+tcstXSrCkaNUmjamhUYjwv5O5HKgx7Em+96xbNJEq9qnjzjX0eeMrQHUq6/YR2T7PS0ZxbrHHZrgbvvq3Nky/UOL7UQEkDRKle9ogSx4iDUNIdaFpdn0a1Rr065LKtA27aO+DkXItjZ1fQXsIzRzQf/0oNoZQDt5CjF9EawIC1RGHCjg0x73ldn9lmwt4dlg0zkMQew7BBHLuuqSh2RxxrokQRRYooUXmNTxSp1OGSznPPwJ07X07LJ4lg/4k5JjZt+i93fuW+3kW7rvqDex95Jrzj5mv+bgD8+ZcO4/ln9izMHfnts8cfkVW9idgIp3VTC85pb+mYPAccqNhpRK0sOnYaMNIukq8m0EgsYSIYGsEw8Rgaj9jAfLfJV541WBI+/WiEEIm7SNaQIduSWmRpRaIQEqkUcaSRRuNpSSOAXessdc9QCwy1AGqBoF6VNKqKZk0z0ZBMNWFmImbd1JDN6zokLPMbf1nhwefWs3sGpmope9ckjWpMrRpSr/WpVmsESqJkqsFxciCKPAZ9QX+Y0BkqugPX0NHqKJbrPqfOT/Cqy4f8+Hec59c+rjmxEiCEwdoIk1ii2JUVD4auRrvR19QrPrVqhVpQoxJENKoh118S4nsRN1wS8747emgVp0kggxB2VJSnks4YiRCSwFOAz2CoWVzWrm4nyWIe9+zkoStYyxySLOjPXK0oTSY5WSKIIohiF8ga6xrAJ6qK/S8+IPfuin+76nW+2h/0n//bwOb/NMD/5S/8MZ/7Wq166vRL71qe2y8u2TDDdNN3vrN1NpVWmR42Obiz7KGS7su6TKJrbIiSLKJ3R2IssRHExhKlGjE2kshKEqOJTECSBrHlR56lFKCFcJlKBZWqpaItFZUQeBBoqPiWaiCo+pJaVVKraAfwumCyYZhuxsxMDlk/3WXz+kXef6fhw/dsYNukYrZhaNYVjZqiXoNaNaFRjTi7aDh8NqDiu/JbyCr9BINQs2ujYePsgPbApz+wKYtLVjqaRrVCozbJ++6Y48jZc/z+Z7agpcZiSEzizkWsGYaKfuiKonoVSW2gqQYe1SCh1XExhu9lCbMELV2jhJRJuoq6w5WupNX21q2ELZNWWRoX17j4poh14tJznAjnZKWWrQO8SO1b58ZkSaU4TTIZA1IKKoHioi2KieYUs/JRccWG8+/auPPiw+H8b/X9df9z1Yf/0wC/7qIJ/9zCyk8/fmr5p+fOK9mQHtgE33NLoGNql0wBiRAmfy+WFpVG+InJwAxealUlqX3lDktiXQYuyZIV1nWUZIFSWXMDaSbP6XwtDVriSnEVeErgaet8Yy2oBJKKL6kGimpF0ahKGjXLRD1hshEz3RwyO9Vj+4ZFHn1pyEfu28xUJWBDw9CsCQfuqqReMdQrMY3akEcPwDP7a1y8zqa6t0ib94eKG/ZaLtne57HnJ+kNLf1BQrevU5B71CpVqpVJvvPVSzzz0hyP7NsIVmFM4m762BJHNq8n6Q81tYGlWlFUfEPgewR+QqANWid42pUYK2XcFizSlQYjbB4jOYBnwblIz28GctdQkb82IgW5yEFdvB470gaWOHG5icS4FVZJgQwUgQdb1leZrg7k8mLv3y22pG/Y/QtA+A0DeL/fl71e/+d++/f++P8I4gX/su2aRpU8kSBFJlMogVsipSXJgK0EOrEpS4NJIDaumdakJ8LZWEWq3Vl/5MmbUuZ9ZMXNUtVZQkfJNGOpKBVtuexf4CsqgaIaCGpVQaNqadYSJuoxk40hMxN9Nq9b5pEDfX7uDzdw4tQkF80aJmvQrCrqVUW9AvVKQrUS4XsDWgOLkgpPWaQsPlkGjCj2aVYjerGhN3T78/QGCZ2epFVV1DoBlaDBzo0RP//9Lf79H0m+tm8DFoWxhiQxxEmcptIVg1DRDyTVoaLiSwLfEviKQBs8z6bFazYtN3YAVyKTjHZVg65J4xjXKuhYPaubT4zA5PkG5wzFRjjwJsKtuDmgC2DHpgC4sc5Tc4YDdHqC/cemOHp66E+tW/nJ17zh7V6/3/+/qtXq3zid/zcGeK/bwSTRLzz95EP/fNg5W9m5peL+wby8VZBN3hXWfQFpJEo4MCfSkqgUxMq9p43FJGlaPe0Yz9LKxtiCrdMy0OxgDOCiJIOkdBLF1ZU7uywvt9WupsX3FJXAjWSoBpZ6xdCoJTRrERONkOlmn83rVnhkf49//wezHDgxzY5p57A0qpJ6TTr2rlpqlYRaJSJKQv70iw2kUnjSWaE5g1uRLuse3/PGZb7wREgnDOilAO/2FZ2uohVoKn5A4DXZuy3mP/7AIj/7B4KHn9+AsZLEuLR6FLtCs2FoGFZcuWsQCCqeIPBdZtPXNs/YamWQyhGMFBaRPZcZwmYgJ2f0bMKAyV6nhWtJmkxLElHUuWR/lpBnlMurcRYqWcAKSxi7UR3DUGFslaNnT1cS/cC/uP21rxWtVvtnJib+ZtOz/sYAX144hLXm5rMnnqxO1GN8zyNOUoCVM2eZ1yoF0giMsihji+InZVNnwD2X60bciXQgtym4bcrgZCdn7HNlAJcChHTzQ2SJvbXO6k4knidd/YYvqARu5kktSKhXHbib9ZDJZp91ky0e3d/j5z40zQvHZ9k6JZipl6RJRVOvuPqVaiWmGoR43pDTi1N4SqCkSW25IshMEkkcKzZNWeI4oh1V6KdtYP1BQmcgqfYUFd/D9yp4eoJLt8b8x388z7/5IDzy4noSIx3AE0sUJymTG4aBoRJKBr7KJZjngaedRHN1KhYtQcrMzbJ5YdYYxp1cIVs1U5Cn1yTJCMimYLYiX3mzPysAXrTUub+fWcciDZzd70sS6PZ7LNz3WHV2/babpZT8TR9/I4Df/5V7eOmYrAXDv/Q90WKirtDKEifuy5cfGcPmmjkt2zTSkljhaiGsu6NzoNviBBhT1E7YNBOa3flrPaQoiqikTPV/Cm4l3aztQp5AxYPAN1Qrlmrg9HOtGtGshUzW+8xOtXji4ICf/cAUzx1fx+ZJxbq6YaIqaFQktYqiVhVUK+7mcKn+kEf2CboDn4oiTZeL/IbPAs0o1tQriluu6PDoC016kZMp/WFCr6/oBIrAV/ien+rnSS7bZvilH5rjp34PHt63nshIImPSZumiu2boSwLfOPb2ijp6rbKDVKYUMi6zbtcGeca4oiQPIUkzxca416YE7OJ1cU2z19YUdTHl32esKwDrDwxnF5f47x/6jP9//6t31O6+++7em9/85v/1AD985ATr1m+efOArn/3duSX76ih2zFANbB4kug9dANGWNHN29zt2BqNc0GhzJiiDevTZWpszN6n2zk+OEPnqIYTIi4xUDnBnWXrafV7fA98zVPy0wCpIqKbyolEdMtHoM9Vo8/ShIT/7gSmeObaejZOadTXDRBXqFUG9qqhVFbWcvRMqQUyjNuD+Z3xWWhWmpoo0eQaYbDmPEsX6GcUd13S5/3HjumhCUwK5pOJJKp7G0z5aV5HScNk2yy/+0Bw/9XuWhw+sJzKaKKsATGzO5EEk8+pCXzvp6GmBlgKls3ND/vlkWVaKbL0ZTQiNH6b0nMvJEktn13OEtCzY9Brn2e3s30lJLk4s2IRGEL76mReOfvCd73zXPzl37uTKxo3/Y7vC/Q8DvNc+y+nBwk/Nnz/23tZii2ZduUyk56ywjKVt6UMXJ6e403PAp/qt0NYiPxFZMdD4v5VTCkUpaFZn4eRRUeOtVFExqBWuPkNbPM81Fld8Q8VPqFZiapWIemVIozZgeqLFky8N+enfm+XpIxtYP+mxvpYwUbMpuFP2rkiqgWP/ShBTC0JiM6QTBggl8TIGzzW4SINmZ6lFkUfdH7hygbDCVAbyQULPdwwe+DJt/sg2oLVcudPyK//kPP/6dwwP799AZDTDRBAmWSuZoBIZAs/iewJfm3T1ci1/Kl3RVNbYnUo6WYpfXL3QyOnOC9bK4M5JKJUgGYiNKd4rr9Llys5sxS+AX7hngScZdJc4dPjYe5986unDURT9m/+lDL64cJrJ6c07Hrr3Q1d59iyNuky7RtKIXJXBWeg2B3BR+nIluZLruVE2yKWISZfF/ETkCC9YuxxUZstt2qGj0mBKa4unHLB9bfPqwYqXpLo5oloZMtXsMVHv8Mi+mJ95/yxPHdnAugnNumrCRMXSSMFdrTg7MQN3NUio+DHNesi+Y5b7nqzjS4mnXGdNea+bzBWKEkVsNK+9PuLii7ocPlFlXQ0GoXXHMKE3SFlYK7T2UlvVeddX7IBf+uEF/s3vGb76wjoGUZVhIgljSy12kiXwcCDX2epl8t5WqZJ8hVNSlAAuSiBnlV4pQF4inpHVdoytM7CPSM10NUvZz47gwmb1eISx4JkXThDbR6/6yX/5QzuOHTt1fOfOrX/7AO+0zlCpNneePPK1Xw8Hy+9QdKkFikwoZADOdVrOwKIotM9Aa4ulLP/ShpE/H18SS7BOz3mJucvgFhapMlvQgUGrlLW1GzHheYbAMwR+TMWPqQQhtcqQ6Ykey50eDzwPv/RnG3n20CyzKbgnq5ZGVVCviNwrd86LceztO4BXgyFhkjDoV6god5NldmmOk8xySyRxrJ2W10OGoaUfiRLADb6f4Hsaz5OuCVt6OcARcPUuwS/9k2V+9c9jHt4/w5lWk0FdMplYGrGlkk4cCDybev+Zk2Jz9s6kSgbw/POmH7qMc1u+DiWg2hGQjgI/I7C1AF7+78nyGaa8UkOn1+P8/NI77rn34eSmG675F0ePnzm2a8fmv12ALy+cwPOrNy2e2/+ulYWXCPwAiynu5jT4cMydOR1i7MuKEqhLN4HNApci21cGePEYSUfkF8GNe8iyozaVJ7aYsZKWxXra4OflsQ7cgZ+Ce7rL/HKfX/zTGp/52joWulOsm5Csq6TgrjjdXUsDy2ogqQU2ZXCnvStBCIR8+Wmf5chnJmCkHhtRvtBOh4eRphloXnddj0cOhHSigInIpF3sBn/oatV97QCulUVJDyFdggYLl26T/NpPtPncI31+4UMbOLUwRX9SM+kLGrGhFkMQudHLvnIDjbws0JQiD4Kz53Kgnt+YogB4DvTSdQJbkix2hJzM2M/lG8IAmCxRR+66Zf++e1I89dxB1m/Y8K56o/6n3W7/2N8qgw8HPfygesmxgw/9s/NnXsT3ZTqaIGOkNM07Li9GXqdgp/Q6+3NjR3R6cdLGAZ7pbkrs7TRp5gLINIHkbDAHbK0cuD2d4HsJvhdT8SMCP6JR7aN1j/ufSfjg55vc+eB6QtNkfVMwW3GyxFmAmU+u0kOkzF1m7withzz04iS9ULOpZtMbbpzB00DTuPqNiqe4+bI+sXEA70eCQeaGhG7kmqczi1OlQHTZx7R1hNlJwXtv79IIzvChz/d54MUZzkVVehVJM7bUtXUg12kcomwal9gU5CkxpPFLVo8lKVh8fEfBMsjzQLEE1BFwlwhrBPwj79vRv18iNiEUjz3xPNddveefveUNr3qq0+0d/OuMhPu6AF9ZPMGB5+8lqExsXl44+JooXCHwFUIkI9KsAKYY0d0ZW60Gvxj90ogRxs6cmBE/MAe2HZMmNvdxlTQpwE1a852CW7lajMCL8P2IihdSqw3w/R5/do/ml/94PYfnp/GCChsbgukgoRlY6gHU0w77auCynZU0IeTqV5J0JXDyZKGd0A19fKXwpc0DzOyzO92ZBpppejuMParegI2TfVZ6DfqRSMetuVjB85LU5lOp3aly/7oIXF3l4ztu63LD5fP80p8M+PDd61iK6/QCj7onaWpXgxNo8BV5M4TOkj6S/IbMssD5uV4D4CNgL103O/48wt4vA3jGXqcnzJU6S+YXVnjqmX2vsSbevLjUOnjw8Aku2b39fw7g1iZcfOmtOxfO73v/qeUXqFUsWsepp+sWrBGZMg5i67q513ofCt2dnxwrXvbzZCllZwfaQnfndS0GWWZulTiQezG+dpIk8IcEXp9j52N+/3N1PvXVGY6cn6JZ85iuwFSQ0AhsmnrPwC1TcMs8KVRJtXfguxunWR/yyYc0B49XqSjhMoaZg0KB8nyMg3U6PIo1l+6At93Q4YN3zdCtaZqRZRBZgjCNG5RxGWKVOUMZyL3SxXKrwvZZyc98d4+rdp3i9+6c5si5CZbiKj1PU1eCWgp0X1p346QuU8HiNg/WhUg3hSlbiOMYGfshlyAUbFyWIIX2XgPc+X9X4Cor0MMqHnx0H9dcddn733jHbW9ZWml9XanysgCPowilNUtnH9katp/ZXdFzqEDnIMtkSZmtc5AbMQr4EoBH3ysuOlwY4EIU8iQDdiFP0mmzaY2Fkhl7u3krWscEXkwQDPH1kE4S8tsf8/nQ5zZyenESo6pMTyimfcuEb6ilzF3L0/cyrVNJpUnqnefg9l32chiFHDwV0A0DpoLUxcmSTqXMbjnZEyeSKNI065pdW0NUMKATNuj7gmo6g8RP5ZWXShSduR5CXSB4Vayb6PEj7+jxrtee40Ofa/P7n5hhoV+nrytUtKKmBVVlCWLr2Fw6qaJlYWtmq2LO5IzKw7UJsQT6tVh51XtFvsSY1X+vfAMJoThyus2Xv7Z/t/SrW99y+/XHoijG8y4M45cFuLIngea6et1+bHlwvzc9AcYkqXcpRmWJHa1Csxdi9NIXKjcllG+WEWBDWu2WntS08q04+Rl7m3xmoZIO3Fol+F5ExQ/xvZDWIOShZyV/dk+TT3x1hkHSwPd9ZnzBpG+o+5ZaYKn5BbgrgSQIJEEqTVxiKHUmUoD7nst8Hj1reeCJGmHkEdTtqgAze2QWaVaKGkYKz9PccUOHj3ypy4FTdfoV1xgw9Cx+DF5k8EKDSuc1OhmR2bQlK9amHruR1ALNhsk+//o7e1y2fciH72nw+L4J5vt1BsrH8zQVLahKCGRqo2b2qiyKoMoHawF9DZdrFOgFwY0EkyUwj3jqrHbTsr8XGZ8Pf/4571WvuvFjx8+2r1lc6cy/HIZfFuAPv7Rd1uXjN83Kj01MNefpD2vEiSt8d85HBlhRsvhEAWQzDvTRG6Msay70GAV4qTBImIK9pUntwMQBXCW5HNE6otWNePB5wR/e1eSeJydYajWQ1QqNqmLSszR9Q82z1HxL1Sdlbcfc1UBS8RUVX1DxSSv0TApu41YGP0bpIS+dgtOtikuspPp2NHFSaEvXB5mWnBpJGGo2NAWXbOvz3ImYXuTl8/780PWseipJJUqWqAE51plTLodIEkmUuPrw99zR5003LnPvUx3+6O4mj+9rstip0ZI+XV/jK4EvBYHE9XBKt0udEiVGF2nZL1xQl5ftvTLYs+ttKAN3NA7LekMtReLPpN8psoLIwNBA2Ovzh5/43MTuLa+76brLLr2Llxke9LIAX1k5GZxoeb9z3z1n6z/6rj7bNlgGoU+SaDdrxBS9j+X64TUZ22bF9KN3dM7e46DOXqfSpFycL0aAbdLnBCUT/MzNkBHznZj7n9B8/sEGn3lggrl2HVGp4DU8mhomPNfJU/VIZQdUfZEeMi05TXW3Lwgy9s4ArmN8P6bih1gb8eUnA46frTI7LfCkSZd5UTT6li++KcpPk0TRH3rs2CC447oen/paSDfy6EeCimfxY8fiw8iWVimV+9UIOSJT3CGLRgXj/PZqMOQ9t/d5ww2LfPqrHT73YI37n20w16rRFz59X6M9hRYCTwo8KfGETaWWdQ4LJYlYAvhaiqUM8DJbjxgQFLZgkq1AKbgT0tJpC7G1JNZgw4g9G5d4981z9b1bXvU7xKcvA/p/I4C/cOAp5ue6fOQvLNs2aX7ye7rIVkKUAdwqTDp62KQnNXtN/kzO8qPLVXFKxgtucrck9brJQJ0/O2CLFOBaJ/g6olKJGAwTDpyGY2cUH/3iBHc93mRuuQ5eBd30qClJw7M0tKHqWaoeVDwH7ornZhK6MlNZOkT65zYFuclB7nuuPe3wGcNzRwPwvHSZt6UUvRihunKQlSQidVPcOOcrdw25fGuX/adr9CuCWiwIIstQkVp7ZmScdGFBFlol99lTK9IYlU4f8BiEHtXqkO9785C337LCF57o8hdfqnHsTIX9p2uEKwFxoBlojVTSpfMBLaWrzKQIQpUo5SPWIKdxBs9W8wzUZoypE0q1LBS9vM6Wi8HE0B3w7a9Z4lvf0GVx8aXJqrjxHy537AenGmsHBRcEeNg7IcKw/8/uuus3ZqP3LLBne0wURwRVQ1Up4kgRDjOglzvZ5QijFyyeBZPloLIo5MkG8uScLsqBpSlYW5gU4AlB4CapxknCuUX44lc0h09Vue/RKqeXqxw+U4cgQNU0Fa2oa0tdG+cieJZAu8HxgUcK4uyQ6aFSgJNq7hTcXkLgOfZ2N1bI0XnYd6yGJ0ftwVyiUNSDF9nbrHkgG4bjcfmOPpes7/H8kZhe7NGIBEMNfjoTUJUALqVASDnC5GTgsUWdTxbMxmk/ZZR4DD2fZjXke9445Lar2pxebvPlx3yOnAz4wpM1zixWSPoeRmoiXyGkdCuFSH8fWcaz8IfWqkQsSxZDGehl2zBzXDLhnTVAp31tbngiQkcoL+LACcHvfqLCfOfI5A9/d+/HfT/6UPlX/bUALnt/ScXG733jTfvrgiHv/3SDj95d4/Ybh1y+K2bTVMTFO4YoJHFYsHk2TD5bJnPNXQK4LZ+GPEQeAzd2JKB0UsTpay9IiBLLkZOC544ovvhojeeP+rx4tEp76AbP4Pmopuc69BXUtKFa8oEDndVpZGWzri48SGWJ7yt8X6Y3gC20t5ekQ/edzq/4EdaEnF+SDG2A1hJfWnTJZhsj8BzkiR3tdwxjD4Fm3XSIVAO6kUdPC+d0REXBmFZmJAMpRdloT4cdIbBGFkxe6qH0EpWPn+gNfTZOhWzfEHH9RUP6YZ9/dLTF88d8vvhIheeOVjhyokIUKwgUViqMkIxkgzKIZwVa+TfN6hFtXtIxUq2VP5vi2WSMnUCUoK1h964hW6YiLt0Z8rqbhjQrht/9VIOvPn6Ksyt/hfYuvGH3mgD/pQ/ew6/+5YISvXvF2QWfex5p8tyBACEsX3wiYcJL2L5lyJV7h7zphpDbrwuxJsHTlmrdnWQQYCRxJHPJ4u5SubrYOAO4zZjboLWbYyKkIQotvYH7s2OnJH9+T0AvUjz9YoVDJwMWuj7DxAftg/JQTYUvBVUFNWWpKNw4M5UWHinH2r4nXNKjDG5P4qeyJPAh8EldE5cy97TB9+I0IxpRrYTMLSd88eEGrU7A1IRAp168LOFg/JGXEOdaXDIcKmZnFG+6ZcAXHu9zolWn70knUzR4scWLMs869dhl4uxCyrNOZP47jNWl3+GA7ieKRCtiTxElmijyUis1ou5H3HZlzM2XDXnnawa8dFLyzD6Pfqj48BdrHD3ngZD0+pokVGm6U2J1AXA70hqUYdoW+6tkwLYWEVtESYpUay4hJ0h43StD3viKAVfsDdmxJWFCC2YnHA42T3e598qTNGcfFG+67Wb1mz/x8bi58d1/PYALwMqZ337/p6auPnHOMLRA1X2I+V7CvEk4ulTl4ecTPn5vxOxUjDWW6/aEvOf1fZJ0d+B1k4Zrr3R7w2PEmoFIyeR0l0ZCqyd45inNYttV7T26z+OzX60wiBSDSHH2nI8Rmsh6GOGB1ohAo6XEV4KqtFSUJVAQKEugrKsB16nnqwvm9rO+zBzcKu3RFDl7+57B97MCrSRnb9+PUCrkK08pPvW1BsrXzm4b0d8XZvDMC3c6XBIlisHA4+239vnMQ20+/OUJunGFeqrDvUyHR1lSxubdQkJkd1I+eaak9UsAN2kXvHZM7mlFrDU6ThzQVYJSbpD+VCXm1r0xt+yNsGLIu2/vMYjcOLe/+mrAY/t8qoFgoa145gWfdlcixj3RNS+4K6OtVyzXXhMyO5m4xpfE8B13DLh2T4Q1sG7SMj0JConFwySSXk9hrWDvNsFFmwxGtK8OZqZ+G/iRvxaDL620mZpoNP/Tb396r7FWSb9CIARROnrYard8GJMwNAnn2oZzKwmQ8NJJw2e/MgkYbGKYmDLcdHVIo2IwmdF5wYdIJ74KVrqKx5/zabcUUkuGRjK02jGT0K6LWWqE1Egp8aSgopyXG0iDL0tglsWMPgdyUTQ8aNcIkDUel8HtGD4tq/UyBk9KR0ygI6wNOb3gEw4rBBMSP017q7QqbySLmXX0AGVrNWPWxCjCyGOqodg2G+KLAf04oB8LqtoNwcxqSLKElpLl8laZ/65stXTJH1NkT41JeycLaRTHSZoUU2mJQ0wUJ6jIjZnQKkGqmK2zJl0xDJdtHxDaPlIbWi3B4895rPScbBopQbwAyI2BesVw89URE5MWGzsZW01jC5uaGEnkbvxsHJ9JFIl1gbNJwAhP2X64d93O72qGg3bbr4z2bq4C+OkzC8zNL//KsUOHb/fjDhtrimHipouGVhIaRWy9tBosGdFMsTW0rAUSUJb2iuXsV0xBWxdsNBstPrZCYrItF0ifhSqCHClRws3cC6RLOfvSpluQ2HT+ScF4Gbg97Trq3dZ75OB2bV1uS5TAF/iavMTUMXjK4trtCeTpGM+LCIKIkwuGP/lCHbSPJ0URYObyRKxi8HKmLhsS6sDmBuuEkcf73tTn0/f3efF8g27iUYvdprSuCtAWnTjpnjz578pXQ1EoASNLBV7ZYfJaGK0VXpIQKZcxdQVdzo7MLViV5O6VTOMhLSzCJszWLN/yKgPC5LET+fNa+qxkOCQeSeSmkVnjBgZlYyqccVHYnSZ1hIqgXNEfWrzw5O3V6ZO/Ykz8T78ug3/kE/cgpfDPnDlL3Xej1HzpxqlFCUQWQgOhEcRWk8is7iDTUaOBQ+KVg4mXY29RepZpM4OL1LJoXQvwRMrKwkkBLSk9Z021pUIiTWkOigO5r4uu+gLgMpctgW/zljbfN6XBOTFeyt6+jpAy5Pg5wXy7gtCaQDIiT2Tpa6XfsuQDj45lKAJBRRh7zDSH7NjYZ/+5If1EM0ggSAReYvHiVIfH5M5SkVlUo2SR3lBu0q4tOuBzaWTQiSFREqWz7cszJs+GBJWBbVAim4xl8qRbOUeBSKMAceFrnrlr5MlBmb/nkogZuEXu1CXGMXicnyc3QaAXznHswN2+XQNjqxn81AmEECTRgIoPMna6WCcQSTfXIkhnSUc2nUhqhWsgtnK0/DHTW+PVOCVgl73vLFDKCnzcRCrQwqZHCtpUAmSv8+e0wUDnpaDkDba+Eg7sI+CW7tnPgJ4Fn+TbE/ppk0QmUTzt9KnvR8REfO6hKufnq3gTCj+TJtKOOijjPFZOS+cjGIqkz2DoJti+9ZVdHnp2QDuu0NOaamwI03S6kkVBVJFlNBSdQ1mgmVV0ZtZhOlPFupk0iRFoI4iVQCcy3cXOlT1kQB9NqNl87JsUJi34siWwu2teOGGjN3cB8PQGLOdJsgRV9jobgV2esJUot89QOhfe7fgR0QvPrKkQRgD+8U/dQ61WfdVdX7j/BmyCp4q/IoUb9xBng17S3srsMKntlVD87Ez9cr3JCGenjFMAYFUiAfIsmkwzaTqveEt3I5bZs8hHIZSBnc9BUW4Gnl4L4FnAmelunckSm+rt0Vpy34vwvZBzLcOTh6qgfXQqT3SpQGkk21cOMrOOp4zJ8zkwMl9+o8jjuouHzEz2aS3X6MWKmgIvdt9FJdYdURngac4g/0VydU2QsQUzKkNiBJ4RJEqSKEOiBHEK8lgWxWsydYayak2ZAlxIO5JlHpmUlUvx8UwepWrBtUAu8hvfllh8JEjOZsLHkig2VCqVGy6+9FWvOvD8bQ/uvfL1awM8DEMs9lvCKLl2MIxQUqOtBQ0iEWn2ypLIYjKRsTYFtLtoWdo1e87rELKvabMC+qI6MHdSR4Bh00CNUglnoT2lyFrSiuIgpUBnHfTSyRKVd68UwM6abx17p5pbk+vtzBJ0jF2A20v1t9YRgog7vxrw0PMNZKDxpXDzt/MKwuL7FJm+8WxmeTRadhEViVH0Bx63XNHnbbd1+P07G4RJQDeRVBK3bZ+WRbViLlNkMRqv+FUXYnIwWqbzaASJMo7FM3ArgZYyHRBUMHcO8pGSibT5Igc6JYCPsvgI0ZVAbsqMXsqM52NGbHnnjmImorESayK0iK+Nw/63mCR+cE0GP3jkFJMTjTd97JNf/O6Tp+dRyvnV2pLH5UqIAtzpvug5uBltHM1DylUVgqU0j8hWhwLgZaCX65Jl+b18FFsGdFIGJx8PoWWJxdNuGE+NgtuNUxhj7rRn00/b2zydNRzEpSMiJOIvvtwksQEqz16WA8yirzFzNkY0OKLoNE+DKpPahS7Y1Ag83vO6Hn/6uSErJqKfVOgnAi8mZ3EpLTJOZ61Lk9qF47VHspCNpelgxggS7cY6xErgKUOirZMtiSSRFqmMS9dL44L7DNB5Vrmo7CxATlpeUW4yXPtRlG+Mz0QsAT0vOSgqMOOkeE8KSTiYwyYr333xpW+4r9s69YX6xNZRgMdxxHA4vLjb6+1ud7pUAs9JC0Ue+xlhkdbZX0Zm2ThH03m5Y87aLz+gp5Aoox0jrrieNBW8ui656Dwp9q3PwJ7tSaNSWaLU2LCbFNhaicJJye1A13HvGpNtytxFgKlL7B14IU8ekhw8U8EqDyUlvjTo8k2Z2oS5QzhepJGVjGbzYYwo+dUO5FHssXtzxOUXdfnaS1Ui5dOPBRXpBpTqWKRFUGkXTpzqcGQqDsdlkRgLbgs21ylTKmNTqZLesIlIJybIEfZ2zC2LuvxMi5fKLLLNDrKV+kIIL4qvVsuVrKQhn4mYlIaBpoxukfT7XQaD/u4wDC+OovgLqxh8cXGZwWBAEg0IPFfrYC2INLto0kNYdxGzGXWqBOqRkWpZA/HLAbxkl5aTIjJn8WJIfg7uXLKIontekHe6ZEye7XtZ3v47A3h5+I/rticHdp6tzJk7SbcLT4NLHWGJ+PiXaywuVhGBxpfO3VHj+ns8wBzxwYtxGeU67nz5NW6XhNlpyXfc0eHJQ02GSYWe8qkmTouPlLPGpVJWTOqJp25WyuLjXVfFeLxiCpU2pFIpW5Fc87YyWXOJHJErxXWyI9esDPDi+49FYWMEuKqvgGLwZ5IDXY4E5RnTh6Gm0w3pdBaJwkH+b+YA/70/+DRCSrrtFXxPIaUDrDACYW0OcGnByOzijM63GI2M04t5gTs3v/DlirQRcJPPOMzAokaG+hQzBx1rF89aFntfKj0KcF+nA4C8bOvANCmkLV6eijfp62Tk0Mp17rx4HD52T4Oh9FFSpdnL0Zks4xnM8dMwUko6osNLbkGiCRLNd7xxwB/e1ePZI1Ui5dGTEj8xqXskkEmZCGzaXlbOO6R7JI3tW1Rm8gLcIh+E6lZGg0yyERNF91TetylLWrwM7py17QXPQX4ebCHbKN3w5UkN+Qq3asVLe36lorV4gMPPncaYQqJpgGPHT7Nj++bav/uF3961b2UBrQSZlBMiA7k7efnYBzlWGZeeS1PSJS/rfIvieUR/y7VALkbkSVZnnY87KI0/KE9t0joDeqq91Ri4s/S9lzUmGzczJG8RSxMfOk6PCOWFHDyt6YQ+KJ3KEztWHjv2vcZdlJIezsFWTqWbcuJHU/cEe7cMePZgSGIC+sankriabZ1qcCXcZq3OZs1Y05AFmQWTl8uaXY5OZwZBOmNQpcMyXTzjGDsxlqK4K6uzKVoGc/amaEwRZXCLCyOiXDqdjRspbsDxm3F8wm02bEoSDhOknt116+v+SW1l6Yd7k9ObHMDn5s7T7bbfuOeiDT915OA+jJLurs6kiCiGzUuTMfbqWReUX1/g64jyc1Gfk082zeqnM6CMDocsGghcuWjpucTcsiRLyrsYe4rUC3fgdgAuhgJlDO7pMfbO+jr9kKWO4b/+ZYPFfgUReE6eyJK7Ux7083Uy1nnMYsaYqrSbQhxrmjXNj35bh3ufbLI49Amlpi8lft5DWb653D5IxVYxJi+jtZgU3MZlDkecFfdvGWtRxgXnxoI0TvZlTd2jwC7AXu6TzcCeA3vEVVn7PGRAL3A02sdbHutXTLgtpEoUQ7tnmNq04aeOH3vpwXA4+HTO4OfPHCDwfcLuGaabgt5QMgjdHS9seldaJ0+ybS7LfXNYO9KxwRjIy19qNLFTZjsxsqyvAnhpWuwIwNXokE1VArWWEp1KEp0DPNPcJg8qPW1K4E5cJ74aZW9PRfh+yEe/7PHC4SpIDyklgSzZmWJUg2df8ILVhJRXwdGLZlImjxJNHHtcubvHO25r84d3VTA6oC99AimKpM8Y2MaZXJSZfKyXNmdHBcq6VcFYgTIuYDdpnJNIgUyH+WfBtMgTTu53FeMsinnj5aymgFUot/n/FfJplVlhREktFOcqy8gOQ8n5hZDhCyeZWxbEkdt6UQNcfpEhCJzWOnRI0B24C2SlWy5EGlzmw1kysOdgFquY3Mkpm3KJe0OU/kyWlq4RoOcAL7O4KOnbMsCdPJFlcEtZADxP9GQAt25OdipFPFUCuFrN3Fo59va0m1q13DL81VcaLLQCqHhj8uTCEgUxVkmZX8w1bLtyJ04qUaJYM9VUfOvtPT7z0IDFbkCoNP1EpvakKFrKcgYdS7Kk7J29ZXI2L0CjbKrDlUCnMjQxxe4YUjp2l9KSCFG4W7K06kqLxKZVhdl5sHmGVeRgL7viY8nAEZBn+RWRvm9L56wAPUCnb+nNQeQp4ihxADf95xHBup29+Xt/fG7hRQ6f0UhkqRfS/SIpxu6ocjr+gr53PkFwVV/DyEiwUnq+ALlYJUtEdqJFWZ6IosMlZW1VBrYq9qLXGXOXgb2GPNG6nNSJ0cplLo8eE7x0vIIhQEjnnmhRlA6MOiij3S4ZjecOYRnkWeO2SdPTpV5K5/lqsJpLd4Ts3jRgcX8Vm/iOxZPU8y+5ODmoKBd6pYI7K6OFtEhOUASfYGUxEDWLbYwEk64SSVmKmdLKmgeY6Q7WMrvOxefIfi6nvWxJtK4eHlTYhkXNymijMrjvXa8Yrtgdc/+Lh5jZctGP/4O3vf7pm7/20jF9dilhstnb+NCL6k2/+6k2g840G6cMfmoVZiAson5bYp8C8JQuWv56bCkqg3tt9i5GnJXZugD76FD7/FkVDK5zH7x8pFtaqzK4C5BrVRoSpAr2VunPWkcoFfG5rzU4uFAFv5AnZfdEjLH31yuNHh1+M5qiLnfGJ0YRhpqLZkPeekuPx16sgfGIE6fFvSQd8pmMSqVcquRCMbMNJcVmAoW+tTbLbwiszHbmyA6R6+/sdZ6QKztH4FycpDw7smwbihEMjOBlhCSzBvUxwJcXpfSfU9ISeAmb1iVUqqdYt7P3JmE7G6ebg2P62BmPmb7mxcM1Tp6ps3PdqEQY3z1irdmBZdCP//4RgJftonHdnZ6Y3EEpLXsuKzjK2msxuCqDO51PWGzbwSpge/ncwqQUXJoU5LGTJyqiWgv52gHFp79Spz/woabRUuCJUWkyHmCW44w1AZ6DvCRT7FjCJw04o1gz0dC887UD7nqox6MHfGzdo58E+MJVUiqR5gdKwV7BmKMgL08ycMFnyo7plo+JdHo8A3jB3O49mc5NEcL9WdnOXVVoJi50/UfPxUjsNqbFywmh8kNKV7logV5fs2tDnR07NRPrDHEE2iYJcRhTVQmbJ93uvplXrNTY0MiRX2ZLy4RYLU/GNMl4cJkzeCZPxoLNcYDnR+lnF2CmyR2ZLakZyLOyWYtOxwUXhymNVC5mFzq2dodSLsD0/ZAoTLjr4RovnqiB5yGkSkGVBZjFViBi/OKWv2vp3BTJDJsHUeNeeHZkdmEYai7bHvPmV3Z55liVYeyTSI++UfgJxWcpSYXi6oyC3I59FlR2sxmMEqgMYFJgVZr/MO66mGx1zQaemnJpAghjR270TKasBfLxO75MnmsBvezSCZyFbZSAEFrCI4wazPY8arElCkHfeeedaK1ZWWmzacbH90Rur42DO2dpa8mGs5RLvcuNpeOaO/tGI97wGMizlSMLLPOVRK4Gennkr8oZOwN4MTk1lyg6mxNuUifFpIA2JWCn7J0Gl1pFBH7I88cFX3ioRq/vQ91DiqxysFwTs0YWs7REl89GntRIM2Gjs7XH96YsCrDCyKPRCHnzrUM+c/+AZ44EoH0GRuJnWtxAlJRtOxAJkMoVV1shiiuqCuBoRSFdpGPz3B7OvmcJ6FlGWUiQxhY3OKL0uhRgrmWdjgFs5MYrgdqUpjGUbwAh0v1V0x2Wu6LO008/T7D/GMYk6HjQcvaPjZia0MUoADH6m1bNl7Pke6/nheZWrClPyndrxtKjNqEo7cxWAnb+fonB058zYDkXpRgeqdOfM+ZW+XzwbGRwBnKTD+gsDpet1MoldTwvIrYJdz5Y5YHnq1DRIF1Ds5+lycugZuwo/7DGw646ryLfjbxwVOQI0IcDj9dc2eOtr+rxwvEKcexhhaIvNF5SfB5hQCaFVTj6MUaZvPj9bpeOQjq5ERXWpjvkyVGgS5OyuSm7KCXL0DCCpcJYsBc6JaMavLTClM9TFjOU74hMBVgUrX4PqSKwFl2paIQQ6a4B7vUooItNocpbUoy6KC8/fi1D+SrtTXHHi5IkyTaRyi1CORpk5oVWihLQbYnJxyRJDu6S7i4Flplz4hwT96xUhO9FPH1M8rEvNwAfpIcQCk9kTRa28INHmDu7qJlbIErcXVyYsqNiRpIY0kmFRLikmxWlfeI11mre87o+X3x4wOOH3SSByCh6iUgLvtLzg01HStgcWOP2XIaQMtCzm09ltrBK5yDajMFF4aRYRr//uFwppe0LTf4ykfcIyMtYEyPYy7e+ofhzcNufBIHA89x/rxs1iRCCKJZ4ypUOFntVUmybnW8oNFYWO+ag2LFPWv4u2etiUE2xhJe3zciZe0SajEbs5ZLZTJJk25a47TkKcGe7+2as7anRZ53pb5Xp7xjPi4mSmPserfLcoSp4HkhdamwYvbCOvUY3cRplzVH+tKUXxZYvpcxiubowcT2qrpRWMww9rtg94DU3ORbvJ47Fh8JnYEAnmR/u3AxI9XgydpPlHrTFqjFwS7DK5lpcSpO+FmmyT+QsXjA3ec5kPKbKzhOr0ver0T0SaFIuSiuAXezPSWmPVUiMIUpc4s4ag55qul8URTDQrh4hTlzqM05I627THYlFlvBxbCPSiwIlJ2UtFzzT3+O6O73uGTOTgnvUGixlM0s7lmW7HGSSpOjmKcCtRgLKkhTRxXhlrRKULgE8lSi+jjh4VvBHdzUYRh7UvFSekLemqZHMYck5KdsEF5Io47mDkkwxedbuQlpcUw8k3/vmHnc+UOfAaXfzJUbRS5SrMkzSbGMKbpEIsh0hxBjIR0hKOebOP1MaYCprsaYkFW16ZL53WsaRg7kUbGfOmCnhYES2rsHg5aRheev2bJc+t2W4JTbWbWkeu60H4zghijW+74ha/cav/+qGWlX+527r+KWB5xIf5QAvY9niw5SXH5F/4Ey7Z9pZZa+lKLFydoIkxT6W2ThgOeppj7kieTNDBmbNWCBJCtxSYJn73iaXK6O1JqXdH9JGhuxIZMgffrbGn35hEoIAVAWlNDVlqSq3103mNnlZk3PaGldkUldnWIuy3tIKlMcShe2YVe8JSdp0kJWoutfCGrZtDDm9IHniOZ9YKBAKKxSuQdtSziuU2bS0po4ia4xSC5k7LmPsmKQZ3bJm5IY1rK2hGX1vRBWUGbu896Yt7ZqcuM1vo8jtCer2F03oDSy9YcIrrr9u42te86ovaaKDkxOVubdsmlliGFXp9nWaqncnI8siZd9WCMfyaUmDW/q+bnA5ytY5wYnyzVHc+eUOnhEWz1rXRnZRy/R3KWU+or8zcGfbmdicrTMrMJMlOnVOPB3y0hnJR+6tgdQgHXvnnfvlOKD8GXMgrU5i5T+UPV3GgVAkXrJ94HUps5nPBVGpFk8033lHj0/dV2PfKR/SsWpD46GFK6PNz22SQjEpOSiZRCm4PE+NWwsqlS/KZs9gRUlKiSzYtHkTjBQpLqSrQM2YO/v65RKNkecxBs9WlLWkSWIcc0fZ1uWhYTC09IaG3tCy3InYdKLzlk5yclI366cJ1BwyPE+3v46FlSoI3w1dMWJE68hUf0mBq5/P7uCXiRlGLaIyuMtB5eokQdbbWKToi1Y1OQ7uMWCXN6AqZIrT3Cq1BlVJojhgFyBPVMxnH6yz72ChvaWQzvtOO2jGu9rHM5hl1rzQBXSvxxqQxz3xrJ3NCEwiSWSWwndS5bKLh7z9VV0OfyQgTCQI7TKcCBQlXxyBxBLlrFO0lpGlwlNUWYppgtKWA870pk5fC5kGocJlPkUG+jT4XCtDbTIZVyKBl7NUyucl6wE2xmISS5K4EuFh5MDd6lnOtyVn20N2LC4jAon+rU9t4PxcghxYfvydS1jrdv4ahoJQiVF2FWCFwOT1BSUNXvpQxd1ZAjSUNKoo0vElcMgSoAvWtiPB5eg2gcVemCMAl6Xkjiy0d5Z6z7c4Kc0VV8pNqvW8iCNnFf/9k00G0ksZfDS4HJ17Mroh1pqUtNa1ywL0LOFjben16u7yPLNps+E3mjjxCJKYf/quLn95X43DZzSoCGs0ofToG4FKshvOpjumlTMUqf5Wo+6OKvnzKi0fdcVYKZht2rpYArex6Woh02Ko8nWVhXsyUoNUJruXO0+U91XNNpq16ZwXB/JBCAsdSSuO+Il3n+XbXr+VRmMSuXNSUxU1Ht03xfGFiKlm343qGkvRI0ofJr+4Ij9y7V0qXy3cjiI40VLkox3KGlSPaW2ty4FjkZ0sZykzq67slhRJHQfgca9bqTHXZMT7DmmHht//TJ3TcwEonVqDMh8wNF5UNSJNxh2U8gW9MEmNlK6udlEy5hqd8pTZhkms2bLO8kPv6DBRCSEOwbphqEMDA+NmCUbG7ZAQJ4IkcXNtYiPccwJRGrBlP8eJA0+SWJdISRkzMeX3s2eT/1nGrElicnfD/Uzxd/N97AuNnYxp7fJRLstepRrSP4sSmO8Ktm3scPMejyia4czCDPqmyyMmqiErKwM8HeF7bgc1t7VGIVEy4V9mpxGDoHQhy65J+S6Va4CgXLRTbObqmHFkMyRZOCdl1pYp0DOpkluCKbhV+rPSBWtnbJ6xtkorBr0g4sN3Brz/402GxnPyRKhcnmRNxeXak/EMrCjd+KPssDY7lVlqtNMn835laoGZ1Sl847YCr+iYH3l3l5eO+3zosx7IEFAkQjIwqZuSkK+6ouyNl7Oa+YcpVmUrLYric0lSTS4tIn0e6RMo26c2i9PSlc6K0vkZtQvXTOWPfrJcFRQdXSmhpr87TCBJEp45LAnmFbEQ6H0nEg6cSnj+hODoWcEVW2OMEfQHkkHoBj7GZtSLFNlSZwvJMfLhxOrXYg2mG9HfeXBpc5AXrVFj0qTUXVIGtkwH1eTglllAadAyyXW3KgeZKkZJN2twaRn+8t4ay8MM3A7gngQ/naxVTsuP35hpaLLaHSzhuwzkcZCbklzJCrCsKUpp82Az1eLKKIxxmnvCT3jX63t86sEaix0FMgKjiNAMhRitUykTUUmTF5/R6fDCLnQ156TvZ6CWMvMfBDbt/spBLcvgzs6V069iBAeZjLW5h04ZT7b4TBmJOskqQbvzFqfTBMLYsHvzkCt29VCNAUZF6JVWjbDfYNBr8sj+HttnE46fk5xfFESJzT3ZMfIeSbeXpUtxR669bI8Ek5T1th35swzcOaBU5jvb0cByTHtnG8C610m6I0KRilelowgsI7xazJ1fqfDoc1VMSXsrKUuFVXZMnpRGXpQBUzpGMLTqUdLBpYRPMf7uAlWGVqJKvniceGgTc/OVIW+7sceffM4HFYKQWCEYGFeCodIbEIqOn1WfJcdUocttnpUqrTJSFK6LsNjMQbGkAad7X8oCHzngKSxMMtPCFmB38w1HPkL+CYUAlJuooLUbmFoJFFaGDNUyN17Wp+o18VQNv+qhr75YsHdLwmuvXOG50xE//8ezbKpb1k9EBL7MNXWeOs8vnFgF3vwDrwXuMUmSLVsjVmC2i5oskigZ2FXO4qPAluWOmjFwu9eF9s63GMzkiXRH4EUcPiH5ozsbnOv4br9r6Qa9K4HrmhEuOzhSe7LqECOAfxl1UrA5GbjHJUp5vEMqU6zJf05MCvJEoqTb/mRDPeH73tblwecCDp+XICJAYZAMhERRzrRmFX6rQT7C5DYbiZy6KLKwDTM1Y8vAFqnjJrOANMVFidHlCCm6/26EEFMWH11tVrc0ZlMUKr7l2kst/3CmxV9+xeNP/mqKd9yh2LEJ9HwvxEY9poIWra7Hs0fqmI0WTUSjpqj4Eq3dUEYlRf4lxn/ZywJ7XI6U26pKYB5n7wzYRcNr6edVLL4GuFVZb5fALRO0jFHKDdEcJobf/WiTB56suuhWaqe9pUy7dkqNvaUexFUB5hiTl2X4COjLwC6Dm3Lafqxz3Jb0tzUlkCuX9JAaFWtec33ID7+nzc/9rs8wli4DZSSx8OiLItvopEKGvguAPPMJYaTeyAqbeuROo1uRFWjZtFzBZn+lYO1x6WLLpFBaCXMmt2lrxmgGPFvVdToSuxpYJuoJ2zfE7NkuuOcx6CVdavUO05MV9HOHFfGwwuZaE0xI4DnLpx+C56Vzp7M6AyvTwqFCI8kLAHlNSVIGdum9tSxBIQrNLTPfWRVMXgSZxc7Ga4E7twNzi7AUXMoYz4/58uMen3qgxjD0oKqd9pYqZ+98G71yAmrku4oSsMUIoFdnDwuEl9MtLqE2VjZrUimQvZcIp70TiZEZ2Iu52XGsqdZi3vWaPvc80OeLjytQkbuARhIJzTBj8dQ2HK0VvwCTp0DORgk5Ri8BO9XfSroZOla67yNTdh5pZ0utxazicBzocuSGS/t5M51OEfNo6UZ+BL6lGriVehBJjBRctk1w7UWSXVsl+pa9EhKBnwgOnPPyTKNNU6KmFGBmoihfTigDdRTQowHYamDnTJ7XlpS2585Zm3SLDnJJovKbIHNIbPFarga3UgkyZe8M3DoFt+9FrHQtdz5Y5cDZipMmwpXEijyxQzFBqlxjfcGVqdCWL28QFuCh5DWXa8OzhohsPojbdm+UzRMjkUIhE4OUmmio2bsx4m23dXl0n08rTBmKVI/jUvkqhU8OZrsa5FkzRi5RxnS5lWnQmV5TjPv+eXP6SLApKNeou6SR882z4BxcQ13G4jL9951kKZomJCUmT1d2rJvIVfUlB45X+NrzFRbaAfqKi1aIwgUeebrNl57ahIfE10k6HWlcMcrS1x9N1KydkSyCsiyYGAVxKbJPWTLPWgrS2otR7T2uwbPJp47Fy7KlmGs9kprPmFvHGBL++HNV3v/JJlZo53unzoljbydPRuMESqMRoLQ1jrsoGWuXT9QF2LtcgVlocDEC9HzQUtqQbHOr0KQDOxVGmlyuRImHVIYfeWePQ2c83v8pTRSnNQZGYhAMhUTmq7DNXTFhxkBuRSFR8j8pdHkmS6xMP3d6PZGp+yMYZexUgAtsLlmkxXXgl0ZdZCyeNTlkRX2jK14py2lgGCusCbjjuj73PdPixTMxXQH6maNDntwv+M9/tJ66brJ50lDx09HDsgziIsgcscbKWT25GsSj4C+/V7R5lScj5To3A7PAyRBRArcq7U8vi3S8lGXdXWhvXc5WpoGl50ccOif51H11ul0Pqiplb12w98g4iNHxckU56KhjVH7j6yV5ciZc8yhlMWW5RiUdQplV8xmBNBIpnRaXws00bNQT3vnaHnd9tcqhsynd4dg8NoIBaUGcSZk8/6yZbMn4TOTcnW3WZzONjSgFmLawDMmCx6xgL2Vikab/83OTKgJj8xIQV9OSZl2NTbOkjsXHexFc8ZUr9R4MFeeXamyZTvjv/2KeAwsLtIYV9Jee3MjJ04qmPM2mpqVRsdQCN31Va5FONSoqA/Pa7LUKonKQjy7lZU3t/hu76kZQJWkixWhAKceYW6ZsXexRb9L3SkGlLIJKWXpPygSlI4aR4Z5H6tz7VBUClQaW2jknsmDvzD/OXJRy32X5xh8H8tcXJ2sS+8jBiJNSSt1bkW8FnmtxI0mEQhp3REPF668Nef3NfU5+3mNoJIh0ig+CWGj6pogTyhxddley+ECPBJ7ZzWldjCCdtsj0uE11PiL9WYq0TzP9TjnRZcydvU61vklXfOlGTJOPECSdx+Iyn3Hi9ogdhpKu1HmCslEVvPLyGtW6h37NdTtWXqgM71o55f0Da5N0+7x01wNdclBUVta6VoVfCdjlzOQ4mEvgz33vjKVl4ZxkIM+YOtPcUo2C3GUsbQ5uVQb3CNDjNLBM5wv6MQ887vPLfzBBYjVoL60Y1Ag5VlSVW4PZ97AjA/tHAuvSe+XI/+XYu8ziuXyx7sKOJn5SmSJTYAu3j43NpIqRGOG8cWk0cez2F/rp729z4JTm/sckxi9Y3BpBhGKQBoNYRiRKVnBVvmVV2qeYsbmrjE3rVmTpvQz46bmxWWdRCni3i1op8SPJVw1h3PJocbPTJU7H5CPPBa62PZOE6fk1VpEkLkG57FXxp7bdtbF+8Yqaml7fXVmeP1zx5Q9LkVALVL5Hu+e5Q+tszl+pybbUVVPONGYlpEpScj3KQWPxngMw6TgwO/rfqFFJUtiCmVuSFUvZ3O/OEjurCquyVjQVoVXEqWXBL//RBA8+VXeb8kg/B7iWbv52UCqNXVW7PXKkUk6R1raXxlnIUs27GlsBs3NUenZbc5czuGN5gtzRKsihHODKrH48G2dsLbMzMYG2PPqsz0q/5PGmPopJ/czsppWltWd1JeTqu/VCf1aEr2N/p3THZ39m1/y30xti7HOM/L6ylLOuUWcYCaKkxvm5le87dPClA7ripcVSSJRQKVsLx9ilgZbjTb5lBi9YeYylR/T16IUZ8ZLLVmCZxctWoCj2h1EZoMuvs6xluUJwTHcrFZMECX/0mQk+/ZU6tlLo7jJ75+PY8pVodcd8WZ5kia/xDObotb8QlQtG5sqsUWU43iKY6fLcXbFjNSpCIhNFIjSyn/Cu2/u8eMTjVz6oCUeiYtfvOTSCYofNMkSzz11ocmuEqzYkL1nJmTzPcIpCvheeeBqEmkKbi1S3y2zwvEzPoymGBElhRzc2KwXobl+jrFgsJRQBVeN277BWout1F1TFEQyVTjtrYHVFIKvlyUigOOZpi+JnkcuM0TnW4wAviqpGZcr4/jAj4M4BXgBdloCe1Xrr1Pv+4uMBf/D5OoMknYIvi8SOSqVJrr3luPc9aneulaktg2Q1rlezXKFM0mBuTLaUAZ1rcVlKAMkU3MI6yzCRGKFIhEEYgzSawDN8/7d0efgZny8+5ezCTKoAJGgGuRov58dXg9yK4udRgGd/zboTZEj9cAo5kjst5LafFG7nEPKsp5M3Mp1vnmVDpSyfE5vW4ji5Eyek27i4DxEbV0pkLOjJukRKQRhKulKR9UeO6OiSazK6bd1q1h4B8IglWNKwI8uwKVUMZs5J2QvPgkkzsiFSAfSxo+SaSBUjZYKUMUpH9IbwCx+Y4MjpAJuBWzhwCyHSPTjJ3ZvyJljjNuhawHaGrSwwsQrhY8UVeQ1KwdwjWc2SF15MgV29cZURtgB6FnRK5XY1NhoZGi7aHPF//UCLh38yoDNIP7jJCkXcjhJDMolyYZCr/OO7oquss8vmDJ+yuUj/LZHeFHkAKfIMp8zcm1RzS5xUMinLW5t64SJL/2cNDwIpE5Lc2SueLZYwTpDK2Tu6OTGNlIp+v0OSDNzw+7EgKbtOArsa8GX7bE0ZMhpYZkkb9/dNAeSSLCnkSjmgLEkUWbB2tuuulEWticwSOmmAqXVEnMB/+0SDp/ZXnOed9jAi3Q7KSriKQZfYGQsqx272tVLzIpUpIxVyq5b9El7G3hvxdSklSxjd5KuokR4Hu8SmfrgQEmEkUqQtbkIjjeG6SyN+9Ntb/PpHJwmTjMVF2oYDsVUMTObjry6ndbZg2Rd30iJzUcpsXg42sw4wacgdFIvIbw6ZFl8hCsBn6twa91kyBhcZ4yflyV2Z6hJgDZs3zTAx0SSOY/TrX/8mKtUaRw6/yKMP3U2l4q0q/imvsDL/x8aX7NHxZeNsLVY5JcWzky6rkzky3fCoDG45Bm6tyuAePWQmUSoJX3qkwoc+0aDV98BXLqEjPUhnwTjtXbB3uWVurc6dVc3XJdBnzLCm6hYFW4/j3eYIsSUvHNc5k0qTfINUWaoVl0XHj1vi3bbYiVDucxuLjBOaFcMPvrvHEy8E3PM1BbW46CFLIR1Jme7EnWYQs+bLXIeLYl5x+j2zUtaMxTPgkmY3M7YsMp6kFYNFLbdMe9xsiUhtKftpkiJhWA5Nx3GaJBFvvOoarrn6KrrdLrpWU1Qqmok6zE5GKCXTtvx0BytL0eVcAneZuUaCzLVAXQZ7ytBiTIrIMYAXu+qOgluXwO12/Eq1dgpome2rnlYMSh2z/5jmv3+swaEFz1XplBlcSLdFeEmWqLK8Sr/riFwrrWwj5yNb6Uqr3qhcGQV1/lwOLEs/l2VKNo+mvH2HC9ycXWhEcRMkKXtLWdSpJEIjI8vu6Zh/+h0djp3THDwtsDpDovvg1niE+cqTfmi5Nsgt7nzZ1MqzJRaXJaBbmY6cKJ0PFwakQWbO5jbPBlMilazacHT1KPaJSiyYxJ2f/iBmGAJCYaxEVwOD51sm6jHrpwduV4FYEkWSKHHWS7YvSn7T2tEPMBpkjgWSmVxZI6Asgk47IlPKUmT8uQxuJZPcPZF5oFl4334Qca4l+IUPTPCpL9ec7lajgaVMmdtPpVM+FWok3rhAUClXS+01WftC0oQSqBkFeRn45cymzJM/jGQ6ZfrnGYsnQiISx+DGWMfmicGThnfd3qc1EPzUryvOr0gIohQx7sta44qyiu8jVoM8K4pKdXe+vBs7cmPn8iUNHq0ZZ/IUUFnCLNf1o6W9+a8sV1umHfZRAlHsWuuWW4b2wDkrwxik1gLP888Fgf3CxvUNphp9mrWIapDgpyMX1EiCxea+ddnjLo6iAnA0AznWIJxr7VLQqMxfG9xSmjRDOQpqpWJkqrtDDJ99qMqXHquWak2ygipnC2bdOvl2hF8H2I69xZqMXWbz0gpeArdYQ5OMvi4CTlFkMjOwm9J2I+P71qS7AdtyaW3eoKzcHvVGk8QaYSVvvGnA21/ZwxcxxDHYGEx62BhrLaGBgRGEBiIjiG3Rx5mkafJ8S/d8pIMY+Tkf9WBJW+9sMd+kPO/E2jSAzAr8sv7NsX+n9F6cWMIYBqGlO4D5liFozBIZ9YWgEpxDKGRz+lJ6c588Vg+W/uu2rTU2ziwyUQ/x/cQNr8zBOspsSpYBPF5HkrWSUWQjc6CWboaRmpIxfa1eHtzl1LuUWcVgkluDsTB85r4qv/KhJqcWPJeOz6RJGlgKQR5UZhWDeVODLAeX9sIsXiodzousxvR4EbTbVdhe6zkbPOn833LzQ8HcdtwDHx8zkTcoi0KmpEc01GybsfzUD7R4x+1dPBG70lEbucPEYBKMtQwtDK1rWL4QyM1aIC83FdsCoMWotTXGsJnsJig3IBc3RT6PsPRekrixEcs9weE5Q21mPedX+v/1v/3pF4/deO0et0fPJx90vuHJU4btzS437KnQ6fmp5ZNxjx1JYmSMVd50aCSxM6K9XRC5ViJHlphcrqG5lbAXBHfZGizA7mq8Ty1IPvTJOgcOB1AvWDuTJkIINGlKvnzzlr/LWq5JSZPn5yAD+hh7f72ClLIUKVjbrK3JKW8cVQpCjasTKhwVicx6Oo1ASJmm/Z2z4gJPQzw0XHpRzPe/s8Njz/kcmy8FDi7Cw5WgKidXUnkB5IEkpJWExpXfZska0jp2MruPUVkiU/2NGZuzA0VLHbjtK/Nzb1ftI5s9x4lgoQfXXbHId73hPDu3zTAMB/wS6SZUs+tuZLJR4/F9Hn921wl+7B2wZVIxiFx+P7sco/UWJR+cYkbfeH1JeZPQNQNKMc7uZWkyyuyrwZ2MyhPpxj8sdQS/+adN7nuqmjYwlNlbF7agzNibUfYuBZLj9TVlKZIHSxlrFyHTXwffBbjH2buUvWSEuV3Wz8oMzK5TPWNtKW1epyKECzylsRgsievBcZpcGGJhoWe5/bohP/G+Nv/xg5MsZ6l8K0obJAsSoxiMf6EsmZMRX0mP5ZswyLTCxBTAH82EFZtVFXq8uBlEOmulVKU9Yl9r5bzvgWe57eoVfugdPa6/5mK85o2YpJvfi1x9yWZee8ul90zohV/2xCx/dd8k+475tLqKKHbLDeWluATWkUROqeak7GeXmxWUGNPz/xPglip1TXL9HTGUlt/9ZJ0PfKJBJ9KutkCUtLdwcxF9UWjvEWDLQo6srcNH5/3l56RA+YUtwgs+RvejGQV7ceSMbsirCUeclpJEsaWgM8lmqqRHYrTT44miruGH393hR76tTdXGkBQ6vNDkiau5tjA0gjCbsWLFyHiRJJUvqzS4FaXXJTmT6XJb2mDYjkmbkhzJgnEh3OB9TwsaVcXe7T7vuNmnXlnP0wf6v1ydvOoevJ0FwC/atZl//rM/3ev0Tx7dMiMgkSyuCAZDlwYtW4SjqfYicJQjI83GJMgYU8sSuLOUuywFmxcGd/b3RzW3FE6a4BlePOzx5/fUaUe6sARlSXsj05T8aLfOmg3FJfCWbdERL7y0ZOaAL1FN+f9XsfcYi5czmoxJlPK2ecU+SaIIKq0bDjSe/Cl2biu2JsxmqhijiSNNQ1m+6w09Lts9QCZJrsGxGdATsIbEQmhhaEgDT4htCdjl4NOWA8O0bmQEuGXdnQWVaw/+KSZaFedKCNdwHASSqQkN1FnqVDm7dPzoxz/+f/YaE5uB0l7173jze6lWKtx//1d5ad8z+Ho0UyQpa2s7lp4vWYByVHcXdmBWWwJSmBGAj94ALwfuzBrM/ixNw8sY7RuePezxo788xXMHA6w35nfLUq23KLR3PsynFEyO156UdfZaZbEj2d58Cc681JfTJ+PypAx6J0HkmI3oWteylLfNrUNjsroOp8mNkXn6xkjrdHm6e7VIrUQjFAJDEhquujjit396mR/+T8LNQ/dFkQSSmWTRxOle68KU6lZSP5usEEuSTtxMX6cRsxWZ3VhKBGUrkkxT98aVimSbkOfPeY14QbjZmYtiOHVesnP3Ddx27c0MwyHw/4wC/PLd66hUqpw/MUlvUdOsC3yvmL9dJG/++uDOwDuepcwAvvrnUYCvCW6ZoEQBbCVjtBfTsfA7n6rz9IsBiUoBLbNkjk5dE5EzdzmhM9648XI13mVWL+TJ6gDT3QxlwXkBjJcvVhZMWvJa7IypM4SP16dkxVhCOBYX1gWVDoBuZwZjrEtvg9PmKNcckF1PY1GJ5brLQv5/7+zy07/u0YmFQ0c5sLQpyI1MfxZpVtPdbCINOMl0eZamzLR3CfhZ04IVzmo2GZJfBuR5TU6q15PEEkaWdjdm0DecXmiyx2ymH/Xz85sDvFrxCCrBoW2bqoc7u6q7w+EQJeWIth4BcUmLlxl6PJBcLVfMSK1J8XNqBYqXB3eerZRFV3wvgQ99qsHHvlRnOA7s/OeSNJFl3/sCNSeU2LskUWSJpUcDzBLgvz6uVzH5SMND+b1S6t4g8mmvxmavbX4TGOu6YVyQKfIAVKRaHGGRVpJYVyueuSrgdIYvIr7jjh77jms+9MkG3Qh3wuwYm4MDORSp+zTA1BmIM6ZOwa9kwdQgsMZhBRyCZRnJlDKfcmQRSNvYBCQO7Ikx9AcJQSVgEHmHtfIOQZif2jw+nV23mdNHH/zCzEz1w9s2T9KshVQrCb7n9rdRXw/cY2w83mqW+9nCluRJSXe/HLhFprOLKkFXRJXQCeEDn6nznz44wdyiX2QqRVEpiJBImelum8uSDMyZt1/W26sLrMQIcFft8Ql8vb1n/ho4L8Cdg3YsfV/So+W97Uf6ONOEz2qf3HnjNp+vokrPmjjWbJyx/NsfaPOP39mlEYwFnTYCE4F1mjxO9fjQCkLrgs64FGzGdtQXHw00xWo9XtLldjzxMxKAZvPBLf2hZakdUalN4wX1D//V3V/9wrZtW1YzOIDWGqWrn6tVzTummlzbHybEiQtcGKkkLNharGJqLsDeKYCVTetH7IgscTdG1tAwBu5yQCnjXKLIwPDpe2v84geanFv2XK1rztwqZ/JMmvhjmnuVRCmztByTJmn98ohkKQG9HFSOSJVy8ClWg3UVwin9N6uAPc7epWXbinx/SmusY3FTTP41me5On11TgUWkckWkTnsUWjZNxfzbH2yx2JZ8+HMNqMQFhUqRVx9iIUaO+d6pRCkzOe51Vl6bn6hM25f880LKpOWxmc43q1dOiwN5mGiGsXq6Vq9+znYHI6dUln/YfdkbCZc+/OC6yZOPTzbD0aRNuV1KrgVuGE/ilPsnc8tQjGrsUXCXmFsYx9pqVJ7ks02ChEOnNH9yZ52zc76b4FRK5JRtwcI1Ke1tOaK9SzU1qY+/OmspVuvwEUYf1+AlCTP2egTTJbYeAfbIfyMKyzA1ike3Zk+lpAAAMQ1JREFUAGeUsbOptFm2M2N5I/LMpi13AGWuik3njoeKTbMJ7/uWLru3DmGYjFqHuYXoBufE1rkqQyuISpnOuOSoJOlqM2IR2uL5QmxuM6twzELMbvYkgW4kOHp+5fFf+8CdD37nt71p5Pzq8RN+8OzlCCFYnDuJjQfpnvW2VFhVlihrB5iZZbimzz2S2BkHtxlj7gzcaY13Wmui/YTDZzz+3X+f5MtPVKGSsXU5mVNIk8w1GanzLqXiRxsZSu+nDJBXD+agLuzBzD1xh0UIyd/4MZKvHx8ClJKodYQnjNuIQI4wumNvK4rnLADNg88UYBmLI0BkyaBUjydYxMByx/VDfv6frvCz/32KI2d9xxIZ645YHDh3JbuT0+pBR6HpazHG6uNMXq4yK5+LEpNLREHyaXBar8LunU2uv/YSjDHc85HRU7oK4HuvfAdKqfDeL36GqH8Q3yuSOWItcI8EaWvIktwnH9PYuV4fA/cYc2dWYBZcai/h2Jzi3//OBB+7p0YoVcnvHrUGhXCSpHBO1pAm0uYgHpn3QomhS1WDZeYe98mLZJjgf0SOj49TLtuCTjzYUkazcFlyxyVlOZGDGTeLO5Uj7rVzULJ5hMY4jSGEJcEFoMJkwbUbWh/omPe8sU9iBT/73yY5Pp8iJge3GAFlbFOQpyAWZQcGUcpoiqLyMHdnSn9O6eZZA+Q2e09AvSK49vJtfPu3fkuYJDH/ZOzcrgL4hvWzNBr1n7zqsm2Xnzpy/HZhu3mHRZnhcl06ZgWuzkqOM/caPveIXEnyCkE5Ik1itI45Pqf46f86ySe+WCeUYxWC5aSOEGmXTqnWuyRN8s7/MfZe2xoc63LKoFxO5qzhnvx1ML4Waa1qX0sJT2b2YNbgawq7uZz8MYa0PiVjdYmRxgHdSsfYGauXZo64z6vIiz5ii8by3jf10Qp+5rdSkGegNaUTUmbyEoizFrZCc9uixDb9WZCRSPqzLKR5drObEsgFTurEiaFWrTM5s+0rM+s2/WS/1/9/2/vyeMmK+t5vVZ2l17svM3dm7uz7DAgywLAmMKIYxpCIko8f30tejEtQnyaRRBKThyYRMX6iRgNqnvHlKfpIQNEhJLIaFlk1AoMz3NmH2e9++/Z6zql6f1TVOVWn+94ZYGBAU59P3+57+nT36dPf+p1vfX9b0/ltup4WiwUc2XtXaf5cMjR/TiPKZ0NVZCehKXJxklhx210vQCwpcBZwE24vMlPgNh05zIlwZILhz25qk+DW/U7MRaWiJSY10YXrkyx5k5qYsevq3gC3tupWuKzJxU1+boA6zcVPFNxN/Nu4aosm3p2+aQXCDqfVCkrs9eQ6E0hy77g8s+nO51pdkcX1nQi46tIq/vKaKczpDFTkYWRw8ii5QXFy7fEUxFJUQkGMqEId025y8OR7Wi1MzMkuZChtpQ6MlJ2oHGSG/vH/3VPK5XPHB7g0TAJhULrG9zPPmkVZkh2STBfSRFF44rI/nuVmhuU2Y0zM+BISgrIIkSPwv7fkcdvdeUlLmiy2mUAMo/xDC0mwCeh60qb4OE3Am1ZGWoGXmA9I69aKNqI1eNGCf8OiIHZhIOMWL8SItRi1yy6nFp9aNlT6OG+6qfjxKLlnIfCOyyp4z+YynChKYsjNmBUeJQtPDtROEOSJnKgXnqm23eZkN7YTQpAtFJ8dm5i+RsxwslsCfM6iK3BkmEUVsU7UGn6cumZZKO0FaxV30hLcvIXlNpURlWpmyYHSchMXuOexLG69J4e6lv9ii20vKnWMt+6poyMFW8qChjzYqh2gFRrb4jmktscQFykVpYUZTyzzjLhP9HCVKNHKeuuKs+Yi1IpZsTLwbW1c6PaEcXsUZvX/iQSzwO5FAle/qYJLN1ZAokhq5CKtrmhrzsG5tOSNWUCu1ZWm+BTjO1nrT8MAFbIOLjt/qWjP8ej33nVZS4A7mGEsWXkBoqB2a316x4rRkbE8Y0KtFbTLF/HlnZBkEWnybxPcjDaD3Uw9owbgY3C7IagD3PlIFn/8pXZs25uRCcPUDKIy8yuJEQYrrKZRGtxWr5pWgDZBDZICsl0a2VxY6lWnydXjlegM4LYG0UA2XPTGA11GQaSetwvnm44g5brnkrMKorVyfewqlEBQpcpAvQtTTkkRb4MSORAB6xYH+NuPTuJaCtz1SE5u1yiKferJN4w4Rd3g3LE3kwuLk8fpcFSvKRLFSBDrNEm/BhPo6e0uX3LBhlvz+cxMMMaMmlZ3z4AYOfrc3xW7Vo1GPDlhXCQ/LjFUE0KF9EZaCkorcJvu9vT/CS1hTgTqAj94OIuPf7kd2/b6Ku09HURlgNvg3W5a6yZmDcWEirQKkSUz3YyTbO6XzuB5kbGyErAayOZjUzVJLbgsax7z7oSuaGttWWxDG4+LCHFiWXEZTpuiK5H0dHLOEDUYVg+GuPFDU7jigopMfoxa0ZUwtuSRCrWtcaChNPJAV6UyLblIWXLTiiuw6rLeBMCGM1aMPv7T5/5uwfyBGdmgM9tJ75mzFlFjAvXJh3DwsFq8uTye1UmwlZb97AjBVuC2rbe5mEzUEsZCEEeC+0//vh3P7fZTFWDT1pvK5GHNu0nrKEEzgSHO3oFoArFZli2WB5ECelpRQQJ0wOTpM8eGWzRF2NvNbsOxXKh1cdKskXOV/aKzsGTNblVjW0DFnhAk1puq7YjviQIWdEbNTEfckJb80x+cggDwr4+oxZ2ur2wmOGjlkFM0YrVFW2uSWPL4iqFqsihLzoXqUwtluSnABUede1i3ejl6u9tnNRyzeiV6e+fUg4h/4PDk/PKhEZn8IICYexOTjhAzoSEBs5VWxswFpWm1E+tNaQQ4wF2PZXHdl9vx3B5f0RJjMUnNe8m7PZoU7onju6nJv1stLG3lJO3QseVCs+8nsTi2OQlMWJyIFm5l9MS8I/UYplUnzZbd5NswFAhOrP15C07ODR6e5G8mPNxOlEg4eVRnWL+ogRs/NIXLN1akshJb8haeT8HB1aKzJhAnTQQqfkXzc+3d1LHj5vcEARyHoK/LwVt+ZWE5kyEf6OubW5/t/M5qwQ8cHueZ4tInl6/xpw4fvCXvsLpVmCcuL2wkLcQAZhyMpNQSkjxHSTo6UKolcIB/fyyDa7/Yjm0a3CyVdkbMRSVJ+lhqQBs1Tlp5Li1rrsFt0ZdmKdAErWWdrdVkAnikthwP65aI0mq76QCCAWzoMFmhNO2kKL32XBJ16YeqWgVCQVT9BsKh/lfPEx7zcvkmtMV3UuuAhsCaRQH+5iNTECC457EsIkCt2kViwXUpCepAgKKhwmS5vkqp+BVdUUtbcRU0CKo1cC5LQ3iuj8s3bZpasmjwydL0JMcs43gWHL3dHSPFTHDVOWetCNrzZfhuZCUoMJZIf07caFXXEkwVno+7nbUAN40gGHD/Uz7+8Asd2LbPNxaU6Yz4BNyOdsXTdD+dZovd2jU/80KzZewJUgpJCviWmnK8Iay7Zv4NJFYbiTXTVl2XeEtem3SCSKsowtDHhRGbYhXTFyb3Ji3kQ52d78QZQVGdYs1ggM9/dBK/clYVTGcCxfdBSmmJIIRAoDh53ShLERiW3Exz01p5IwSGJwIsWLwmGJsIrvIybSMdHX2znuJZAZ7xGaLqTgwuGTjYM3fR7iOlDMLILpaZbvjEDGXEMYvy0OYUM52wQFkEuMC9T/r48Oc6MLTPVxmlaWpi8m4Ch9hxJraXUsTxCk2ZOkj0+9hqw7DeTeAmLR83qyYJ2F/siBUTw+uQdtvPtPhMFo7mZd1cSJryoUlVjDBane5mlJlooivWzQB5g2LFYIAvf2wSl55dBYvT3prrrbQEuSrhHIM8kqmSZhqc/O4RTl/j4owzlu/u6Fty8Kln98NxZyUhswMcACil+MQNd+y77Z7Rq0q1wa2VmnxJ0rov1TaEJSWLrRrdqdIOWut2vBBwgfuezOCjf9uBof0q3SwNbuteKiaamrg00bnTVWEJaUVNjMdoYclPQEmJY1GM/02wphejrQAtUv80ezYN/mkBnaS4dwsungK0zb+NSaE1aNOKt/RuGjq5SHI69T2vU6yYH+ALfziJX91QAQ1DINCOnzCx5qbKoh1C8Y2gHhE0ItOiq8wfEDiU46INp2H1/MZ7+cQD+yhjON5wjrcDzSwFANy35dNbCegnedT2L5SMwHM5PCeE40ZxH8rYYUNtPh4HVRGuAqe4jC3xQ+wfZXj06Syu/1oRQ/t8CC/tvGmOMUm74S1wGxY7UVHS1KTFYjNtvWE7dJCeCAb/jrUJy+vZtORsRjixeXVstYX9fLK4VDEkEMYESJrGEqKUEy7lNN36RBfS5ErvlvXF1RHFDedlrAq0kkER8++mw4/VkBRYghArBwN88Q8mcf3XBB5/OoP9ox7gGaI2TT0GQ8QpakSF0qpSE7p9ojzvAgwRerva0dGz7qGFyzcenirV0d42s/59wgDXY9X6S8GcHMaPPIHSyAvIeASOYzZXTTtszFBYE+SSbzt+hKGDDj77j23Y8uMshiddCW5qOm5ag9sngK/lQGpkxpsVtiyd2wb3iVjqODVNLRDTScdpSdD0Wr4oiqKAnPb+WJSE2DQlttQkFU5rOYRS7nyi094Qv2EsEXICruu5UK5Ca7kFcFkzkBoHPQPI6xFWDYb40rUT2PJoFp/9eht2HPAAXz2fxPvKAyMcoAyCMDSI7B4XCoKMIPCE7O4QcaAmOC4/bQ06OvJ/d88Dj++87JJzT+j0njDA2zsHwbyOJx0ycUfR33FlVNsGEDd2uydudg5iWGyiwU0SoLMMx85DLj711Tbcfk8ONc4MnTtFSVpYbp8KK3E4iRQ0wd1c3yQNeA3cVta72Q2PxIqZwVUphcUCrY42TInKWvKyBjEBmjxvWulW2+yQWagIPG259f86y16oqEKJrTgkm8p2glwpLEkKu5oMcf5lZFt1IIkPN6EfAP2dEd59eQW+K/DJm9qx66AHZJRUo28ikr+tSJx2EaGoCYpQEHicoBYRBGGAC9+wFKevX3XH+rVLnxwenTpR2J44wAvtcxFUdu/rHrjgI//+9I/Y3Ly7eU5nACGg2oMoXk0kwImK9yZQgNeg9wR2HXJx/VeKuP2+HGqEyYQF0hw0ZXopY3AbtMTsoxOXYiYtFpWxDDhDUR9gBr7dYnFp7a8BbEcTCs3tT+C8Ws4ebclNi03MfRSw1X6trLhW5BLtW36KpihUZ6Xr8gvCbLgqG8yCylDauKQw5ccBuYBuI6iveEEN8F2Oqy6tAgK4/uY27D7sAa46QKIPIoKOAIWQKYeCOAiEg4gy8Ehg7SDFWy4gWy7ceO5Hdh84tP+0lfNOPsABwM0twfPb/2P/kqWbtpJSbXMU/gyZDFfdy2T3YEoj40TzxClEBKgP7D3i4H/dXMRt9+ZQJ0z2ySFpKdCOLzHB7VK7WKa1qJwB3NJSz+aOJzPTFTQ/tuiJcX6k5U8KcJ4QupXFJhq0Brjj9zBd9RrICleJFTdLSiDWxpMgLKJ0cCDGrppBROOXQxV4ozIXkqqAc1AQylWSRAuQC0Bn2+sNlAJhQJBxI7xzUxUgwJ9/qQ37jriSkxMKJcKrkyCz/0EohOMAzAUXPsAFVs5fiIvOumDr9u0P77/g3AtfDGRfHMABYMXiRYA3eOPIvm1LnMbuq11yCK4bosojbN9DUW8QDMyJML83ki0rBAAKNDjFT59xcfNtefzLvTk0iK48lebb7ITArZ06VEuCLWJPZuLddCYAW1adtAQ6kBRyt4BsbLNAPwvQ00wl+V+iPcYgEsvdbMVTSQ9qIUotyqKcPhrosWNIfRpNDCqPF5rqOGhiydmMIDe5mTEoEAaA60S4elMV4MBNt+Xxn9s91ZhWHgvjBPP6Iwz0h6jWKXbv9THd8CBIA4sG+rBs6ZJbVy0598bndh16sXB9KWFBwMShf0Z7z0Du+3f90w8vWPX8BYdHQnx1Sxu+96MMSlPA6asb+MCVZVy8oYY5HRy1iOCbd+bwF18pYKLkICCOkayQttzNC0qPCrvMsemCj/VuM1ow4drMkAo1PyfEzOYxmm6ZiQ+EGI8BqoJ8ZNdnlfhgPJfsQ1L7pl6nnmPGwtfuVJcslu2O0sL+PirBxCr1bNawSSWEN7WJUaEWVmWxOLwZTfmzSZwRV++jRAWSDqQzw6DDZN3lRAgJMDnN8ImvFHHLnVnUIor+jggXbajj93+9jNNWh5iaorjjAR9f+UERo2NFXP1rXQ8vXvuBN9fKByp/+t63vDoAB4Bdux8DBL9veN+XL/nY39fxxLMdCJiAEAFI0EDBq+PMVTXccM00nt7l4LqbC5iYchSy0okKzeBmKXCzWcFtSoM2wC0XfSqSULdLtHl6AvpkG2kCPSGkBfBJi+daAzx9LLP1Ho2Py8xKojCq+MJIG9TrEbuMh9VNw6pjY98nAE6X1LPL65mAt3JrY18Hj30dZuwRdQnGSgwfv6mIZ3c5uOGDJZy5oo6cRxHWPETcARzg4Z8BX/jBanzig79zP6P00o1nnvWScPqiKYoeSxYvBef8iQeeeOvGPQefymbbOBwOVMMAAtMo1UIc3O/gqedcfGVLFhNTTLc/Niw3O2Fwu4aFbmW5j5chb3srm5WTtGrStB22otL02LAWaQ7ekqak+Ikw+HhMS/QCMqYgKldRRRNC1SnUi0oSU5kkfJZwoTi3itITSi0x6IsQwtim1hC6ojAxUufjSEBqLTzNLmvNtlNRI11YJRToLHJ8+B0VfPXOLOYvCFH0gXrNQ6WWR62RQRQxrF/s4NMf3FAt9Kx4Ai+jUsFLBjghvTg2WvuzXz3/18SDjw7/wU9+NpSpCxeHyw7KVYpz19Vw/fsmcdaaAEOHGHbtc1XfF7ViBoVd1li536lsox3nUpLm3jm25W4R821ctk1gUgOw2pIej3vTtPOHJOpJsthshfBZwG2A2lysNnFyQzbUINeTIF5k6tBZJInJXIWrUmPBCdU0VT4libsgCticglIuQ25BYt8Pj5MSkICcxGnwsCrSkyYGDkX6QYgABFMBXhEakcADP/Hw7R9ksWOHg+vfO4WzVhA0ggzGJttQrVG0d6+snXb6FV9grvsJQvIvGeDH93XOMv7ms38llq/Z+FBn0WNd+XBjFEyzY5MRTls6jhvfP4ZL3thANitjV+64P4c6N4vz6LqBLkAYCJVRgRrcuimroxw6Zp/7uPPyTCloLeRAk3IkdKGZIhCLexs8Wz0mxNxOYgpDNJWJ34MkOZ2k1X0yaZB+nJpIyRUiKUehJ56eWGYBUMvTitSVSr2hpQKpS5Vs7acml7VSln+EtYlAZyGl57BeKMdXQOiFvryVI4K//kYbfj6Uwa4jGQwd9LFiMER7Pofte7pQ44sanV2DN9bLh/6yvef08OVg9CVbcD0GutHILpj3mYHOaqO/c/RTb1w7Tt+0oYEzlmVQLTO4bh0rFoY4Y32AB3/qg2sLbrYTocpykyS2xE43MxZdZJbcSnPBZXFqA1CG5Y7BE/8IGqhI/Tj2PjABlDLeOIHQWHMIIE7L0o9jqqKxl9LGScqqy76ZIikrEd8bCowZeahd+OpIqeq1GWuFioGI2JJDbSPgVDuCACFkcVY9IZI0CfsMRBDKF0IhKPDTp13s2OtCZD3AyeCR57tw7T/UcNlpIXwnz5ctmfepcrjgbw/sm2zgZY6XUYZJjrf/5pUQpFwdGFx8x8KlZ4jeYg5duV6MTXaiWsshDF3M6Y2wZF4U65zpPEqHKPd7DG4ZZ27Fd88UUHWC4G4VHmtTmJS1JMSiLTO55tPdjS3r9WJGU0CVBqNROsEMrkLiyLHc+EDT82ZSr0gHWaUCsOJQWd0dIm5oRWSniFTZCTsTP9kWpaIRuUqeEIRi10GGI8MO4LhgXhad+QxKox04NpzBhjPWiNUrF94RhOXqpsve9nLh+fItOABkiwuRLXbv6I2K1+Q85+bDI49Rz2sg6zMwSvDkVg/3P55B5BgURRWkdymQoQKejuempgMnHVcyg4fS8mLOoGsTg1LMsKBMnrNd8c3eTOMqYPHt1ERoRcpNPGtrrPYQ2gtJkv81dYgBT2wwx9ZcW2pV5DJeVBLDmivLzlVRHql9Sx5OYXJuacnN7yeI4vy6Ar3KwwWX9aYEUffqe4n4nMiAKlmH3AELI2w6p4Ez1gZ4dDuDQxnaXI7BLuCSCy/i69euuGZg4YId5bHRkwHNl2/BAeCS89ahjZUb6y/Z8PXlC8Qf9fUVARGCMgHhRDgw4mB03ChtrKiJBneGypQz1wygoga4Y+22Fbhtfm2qIbpiWBrcs3oykVZPDMtucmUF4DSEWxnulsZcNP9rJtiaUYbaigO2FU/aDKaDsUhLy28l8sb7mIm9RtEgbvbctOPIo7gdiio3EdHY2kcRRcgZokhGCYaRY5WeiEIHXR0C83obYGEIwQXqQYR8WxcOj7p/NLDw3K8fOthoFLpPPykAPykWHADWrlmGSulQ1Hva5l0Tx/pKleFjRUGP4IltBDfe0o5p4QHMBagXgztLBXwV1217J+24EmYAs0nuSxXRnCkqsBmcrZ+3VJP0JEAL621OENjbjgtyklARYvwfW3Joiy6tcVzKT7/OnBBK/outfRxkJdUToci95uNcqDp/mp9zgFOVNiZE7HqP+bmWFQUBpUIV96QQQurlWm4UlMAITElgpq60JOLI0gh/8q5pHBr28LOdFG1z5uI3rri49NZL3rhr7/6j0eKFS04WLE8ewAHAcXNANLmlq//cDxZz41/42q3lrpu+V8auAwUI5gPMB6gDhxJkqUCGJSWNdXm1RMEQrQFtgVLMSEvMKMHWsd8p2oG05W6mJHpBKbGYcG4Sz4iUVU+BXg8z9iSmAMZE0AtIvZ2YQDYoCVHhpFRJhQSJ3g290CSJBZfuf6PHj14vUnkg1Hgc0xXIWoZCqN9FURx9PmR7bqmvCyqUPo+kk4OAtFqIO32CEOC0JXX8/R8O47uPFNE598Kxt/zq2R89Olba0tfVXH7tNQNwL9MBAJieHvtmpuOtTlt/7sa24pZe0AbAMgB14RCCHBXIsqS0mh3Prawy0BqYGuxUxI9nAngi2yXAtWgKTUt2reNPmgFvTASSBroN5piQpwKrTEDHoDeALpRyIZDQByAJnpLtcQgoSdQSDhE3rdIWXFvmpEIrVBlioWRtkojq0FVo1ZVCWe/4K6lGUro5lyAEVMXFUEqVk0lNBk7AGVclHzTNS7614BHy+X787jt+c7h34OI/4bzxzTXL555UcJ90gOtRKHRBiKPf+B9XbaQ79x+8Ydf+Z3qnhQtOCHwKZJmK6Ta49mxdhm21QzRvozblMN3lJuYs/JnANMEb45I0gz69b/o+tuq2zhxb8RYjpijEvqqbi7UEI4lTJ150ajnPWJhyDTzoSsZGRzZl1bVNhfZiKpBT9QzXoOQiPpey9496vQK6UNu4oiqyZrl8jgqirDcBiACJHAAEQcgAuIB/3vAof+t1oy9E3zhrddcrAcWX5+iZbXzyk59Dpe3i/wx5YdhD/aL9h8aznFLkGEGOCfiOgMcAlxldF4yb7ZxJAo+agpRaZu+Q1KRIW24kQVAm9045deLHxtXArC6beENJ/B6wJkUqA8iaHHomGY+TTU0brLUDDKXG8rSS5HOQfJ5+pbloRjwJif2p8WJAf4jJrYj1vEE6jERnqjg+UTQpiTikVMBxZOPVGl83Nm9g8Nr+/LZvDC48+5WC4SsHcAD48d3fxuWXb35mQX/2hRWD1cue3TXm+9RD0RPIOFIadFSIil5gOmawkRloZIIxBerYipveRSTgJqnXmhp3K4DLiMD0JDADqUgTuJtAbXoLTWue2m7xddKMqeR1xpWHpEBu7JOeSBaEY/nTuG8B8pm1IeM+lia1/JioLEniM43vAcB1OCJewvbhlaV8cfkHG3Xnlp5Fv93k4T+Z4xWhKOb4jV8Z4WsWsVv/+YHe8Of7M/+0e8fhTMGnEsjxjyFSILCtWmwBif1ja1nQ1K9nBbdBI+yfy87csahNCrRNLnjz9a3AnfoO6WFSEUuzJckOljfR4NvQqgqSwCxiZvlAUx+VqKxeCyJiOsQ5kZlOiq4IqgO4lI4OSWtkUrNoMXH1/yI+D5FRRz6MKEgoEIQUQoTo6ltdmzy86Pe23N1x+4Lu0qxFe07GIC//LY4/PvyX3wLPFJlXGbty7NjRb+3atTfjOiwJBDIAYFq09IGmLV8ziMmM4LZkwDToY+tth8MmVwuCJEaFWO8zEx9v9Z00fUHqu5j7zu6oMmNmDCk1vtIpSdWIxdFhskRRPWK9NulooRtxmQbHanqAZJGYXE2E9fsk3yMxWLHOziP09C2o9fV3vHtgGbtj+mgYFQc+9Ipj7xWlKHo88cB3cfWv/7pYt/6M7Z4oPZ/LsF8rlSZdSkncmoIxxFycWtb9+LcXBe6m9zQTHgzqYgA5jgWnpiWfbbFp04X4lxcmJ05NYtLyYTN4kLxvevEbf57Fy5vfM5lkxuwSdmnoeE/1XLKjfKxDAeICQlxmxEe6pSGkTa/WKCo1ikL7oko2P++3l5++5vahZ6p8YPl7Xg3ovToAB4C777odF190PoLKoZ/PnTuwp6+LbSpXJjJjUwIOJfBVko/Jq/V5nskDaVrXNLCbHTytw2PNiEAT3IkFJMkk0EkNLUDdNMlMrMTW+gQvmLGHJ2XhYQK7RRivcZ8sNklM78wDI8lBGeBPZkTyvPEcDI8nEt5tFvIMIxnnwhjgsAYOjlBEdPFkb9+89z/xzOFb3Yhg3YbferVg9+oBHADuuvO7ePs7/zve947c1kULOg8NzOu8aGhvORfU6yjkKBymirITEv/GaU5uXqptcLWeBK3ATZCAmxjWO5kccjtLZesQQpSKY1vyOFWNQIZLx8BXpYoN5i+04N007I1mbHjT+gQtvhfSa4kWVxHzc0xLbZxgexKqbfZqJdYupfNIUpCIEwQRRSNgqAcMBBH8bB4lun50eHreR3+227nlvPVZnHvxqwfu5rP6Ko69Byfhus7vPvjgI5/58cM/6q1Wy6g1gHI1QhDqenTCckebv0UT3YAN6jguJQ2CFD1JJkwzx9YpbcSgKDQFbrMg+2ztA81Q1Xhbqx8jZZnNPE2Lh2vfARW2XNrCG0x0HidM4NvcmlLjcXx+DM5ObA5uficdfdgIKMpVB5PTHJ2deZx33vnDS1ef83Hw8B8J6z4lODtlAAeASqUMQsh7nnj8sRuGnru/9/k9R/HsTg+uozNRkrgKfbQt+TbSwE0WgUCyj3693GZLhTaQAaYBbVKTeCGa7Gs1qjouuBE7asztTT+KMWFaJWWY94waICdJhYF0XUarsoA6F2bjraZFaAuQE+M1epjBW4xyPLUtxFStC79xxaXDZ5298TohxNdz2ewpw9grLhPONnK5PGrV6tfP3rAhnNMXfX7n8D2dkajAj1OpJBG16UrqMmz9QGgCnL34kp9rLr7MkX5PTTV02ECigSegT1Mf6411XDexExUAM1hKWEAnintLmiZTywgBzIwxziELQhmRgtrXLzR5T+d8mtvjjUQdm1BRslIa1K58Gp+VZFFAlMxofkfJvwHfE1i6JIti70Xj604789oojP6pUHjp6WYnY5xSgANAJptFvVH/Zkf/WWNu8cjSzZdFn33kx0+40zW7k6+lg2MGy01tTg5j3xMbBg9NUxlqa+Bm5j1JfR6QuNfToa76PmkWZVMWjR39PXj83iQGOaPpClapUNsmcKt/Dde/ziIi5vfWkYfqFcK4dAoFfGHQFR1ZGEYCk9MU/QvOCVauKf/xvGVn7mLM+1fmnDrLrccpBzgA+J7Ptz8/tOW9v7XZK41urwzOwU3f/fenydHhBhWQfY4cJqsuaW9jPEya0WKhqS1PU6uQtEgA+3/LIZSul6Koixk2YE7A2HkjFEBVW6P4EBS4OU/CTJG24kQBUNEnOUskyOPalcyOG8dMlAcSouaI40+Igq+iddJ7pOJMjPNFBAGP44AEHMYRcoowJAi4ywt9Zwonv+pDi1Ys/z8HDg03FizsOdWwavn7ntJRm3wWfiGb3bNz34L7Htr5jm27h//q/icPgnKKzjyQ9YkshkXsuGmqFoNJHAuJaUniKRRNnNeqf0IlcBmT6ol8P3Vjyf/6c8yFHUlZcajP1AkHcZNTDkRcAptzIeteKytu0xQj3kWrNyxZBOvwBsaM2B0q5HZm1Gk06qLAOjS7U4S2A3FqYFwTBSBUxMkRBNLdnsuEaC/UUGs0MFJeCurN/4RTXPYvxY7FL0RBtXrJ+StPNZSS3/hUH4A5Mu3rQdiy6tCuyaHfe8+6z+T7l3yqf9GKqMw9RFzAdyHLNqsQTrPEMIEJVOU0UgDQ0YaAfTnXi1hzHatHTH+MTPoY3MwODHOYfTP3SU+E2LJzJECPknt548k2c5/Y8iet9lLGPz749MIxWXgmnx9ygigiCCOiJp+81/RKhyRDAEFIUG1QVBuytHJbMcTy5QPR2tV9n7r1gXd/BvXJoYvPHnxNgRt4lXXwEx3fuuVWBN2bxV9/5J0/+rfvf9t3Gc6OqpNOe44j48uGXtW65H5aaWCMKIAROE5idWWz0ySeQyfpxqU99OLRUEq0pZY3qiy7tuaG5WT2RDIr3LLUVSTpfAYL1JwLtV3E+5i8Wh9jfKwKvbazCkn1LUNNMb3CmkYBUAnFQBSpzmpqoUqg9X+hJq6A43AQQlCuMYxOEDRCB12dbRhcek59zpKr/6Z33iV/ft+tC8WZ57zrVMOm5XhNUZT0ODhSQjsNUBP0hj179mx89JF7qM/KG7cODTvP7hWIQopCBvBdAt8l8DwCzyVwGQVV16YoEmgEAo2QIwwlVQCMiUHk5JATRHvgJJgdh8rtlKpJYwA6tuJ2/DoM+sRF0m8mCIFGAAShQBBwBCFHqCx2UsZB/SjxmkJNMpZQJYcmx6opiasq4rmOUMcv4ltSl1CfDyCICOoNikYgjw1IXu97Ar4r4HsRMl6EfDZEIwzw1M+zKNW7w96u7KNXbn4zn7dg0aNBwK4r5Bsg7JWJ5T4Z4zWxyJxpzOsp6ofX7dh6Oza/eWWxVq1+LVvMv/PxvftprRIh41G4ikgyCngOhedJrygEJLCjCJwDQSQUwOWlm8kHIELEpYh13IWWGk2ebhYdkkA3Oau9yBRCN2fVKWDyPYRILHgYyh412noDhl6vuTWSyywhQKSOjROZ/K6ryMb7IKEmVCeUMNWNGkBIkjIR9QZBPZQH7CrZ0WEAXFmA02ECWb+GYrGGTHEpz/evuK1YzL3v3kf3l96/4uQkBb/S4zUNcHMsX/d2jI/sLXW0ZT88xffvPG3b4+vCcvnKnTt2wXMYAAeMEvguRS7jwPfkoqxS46jWBGqNCLWGymoh0vLpBRanttPFDn8l1uU/4dq2tTQdK1qbjpTsRiDB3lCacxgJBCFHI5SPNZcGDO5M5XExKiBYokjL4xVGkynYCo3xekaFau0o4DiyeCYXACEOShWGUlWgUuWglMD3ZD97z9OCPQfnDWQKy9DbS+542/yLt9bFyi9SMl1as3LwVMPhhMfrBuAA0NmzCABGdu3e/+efvfZdCx/9yXb85On+Kx/7yXOYKk+hkPWRzTC0FwmKWQ7XBRiNMFUPcWCfzDd0mcwk8lwAUKlVnEjJzQK5LT9Sa1EpAeMySPCwpCyxtuLaSgYhASEUEZdXAy4kuOuBpE5hxG2AG6qOwwQEIxBCVi6Jwa9yJc1yEclxy+okmoe7joDrcnhuBM+JZNJBEdh31MeuFxwwyuE6BPkcAyEOcr6AS6vo6sygZ8456OpbdUehY+1Hs0FpX1fPa5eKzDReVwDXY+mSQRw6MrLvnDeuvdbL5L65evXyj+wc2n7RyOFdyGXq6Ovk6O1ooL0QoKNQRymoYMsTedQbefTmBfKeUPnlQnJtIVTgkBqW9bbBzZi85LuOgKfArUHusCR+GjEHp3AaAgBDtQ6EoUC1zlGpcTQCgSAykhNgyp1anhOyhQ3hIIRK508sNRo1TYz30KWW9SLRdyNkMwGyfoDOtirqURnPHenC4zs70J0X6MhxdLdxiChCf087Fi9fg0WLFz9IWeGLxa5lzwge7Gtrn3+qf/aXNF6XAAeAgTk9ALBTCLETwNY7WWNuz8a1Xy1P7FjmBo+zbOYYDo010NdNsXljiMNjFfzDv1GMVLMqDFZZYi6SSz2MgCnDi2lacEct6lwNcpdLK+nIfqG6jjYhiGOkMz5FxuOoNxzsrUUYL0m6FEZKHxcJf2dKz3YZUTKmcpET6TWknIByIZOKU6oLDB5PY5BL653xQ7QXKmBsEt+518UPHs0jx+po65jCvmN51MIczt/4hui8Dat3FrL19/fMu/AwgKETDvF9jY7XLcD1UD/A0Pj4xBDn0ZvLk/68ro6Vtz3yxPfbbvuP6fym0ys4e00DH7ryKA6Oj+D2h+Yh71JkHKEWeM1BT030JKYpQgEwAbfvcvheBNeJ4LlctVMUsSdQ1gEEPFeAORx3PZnBC0cd+I4BTmhpUU4gjwmEjoCnYkyIolKRZdm1k4hYWr78KvLzmWHFM16AbKaK7/8Y+NJt/WjzHZyzPMA73tSBpw/NLZ+34YqpvCeuWjC48CBjdN/rHdh6vO4BrkdnZweEiPZ1dXW9AIysnbfgbef+z/d4/1Cd3BWOTP+8q73YKA52l0BFA43AA8+oJrwpvZma9ER7FKltwR0m4LoS4Bkvgu+HyLghfC+E60RwnEhSCiShqB3FOsphDcdKvRga7kJ7QRY7ApTlJhLYGUcg4wC+0DRKWW4GMOUJjbi88qS7q+nag3o1qickIxyMhBCigQOjHnxWwMVv6C5dev7KsTdsWOGsDqP35joWPbZwbsdkEIJ77i8GuIFfIIADACEMAPjhQ4fH+3oW/7BcLq24+Za76n9y3Z99jFTv/m/vfNNTwd3PFldF0zQT1cuoBYDnAMJLO3hmWmQKUMW1XSbgq0t/LhMgm2kgl6kjn6nDdQPIdoqyEE4YCDRIA1VwtDEf7YxiquqjHihxTxFnjzG0+RTtvkBBXVpk3AeBEwERU1cc7RzSFhyyPkrEoeoFSstPKQdjIYTg4KQNY2W39sz+3u1v33yW+4Grzv7mp/7iE5+76PxP+9097bUwCvgvitW2MHGqD+CVHpNjewHiEl76V3zv0SIbr3TfxILKiq3b9l4wtOcI80kV7TmOjBuhmHPhea5y5BB4DoXvERUiAPgeh+8J5PwI+WyEfDZAIddAIVtDR7EMQsvYPxyiFkI5mji44Ni608V9j/no7Qxx2uoGejqBex7P4uc7POVZlR7TSuBj19EiuMiiNyfQmeEoZgTyPkEuI8MUfI/Cd6XW77sUvsfgqoZ10gEUIeeF6Oog6O0M0dMl4Pjzo2LH4ofb2ujQ0Aula75zXy768LvOR70RilXLF57qn+gVHb/wAE+PkdEJFHJ+5+4DI5/+8v+91xs+sDdaPJA9M58hb6xVJgFeQbnKwZiLjM+QzVBkfQlwzxXwPY58JkQxF6KtUEdbvoau9hKy2Sn8848YPn97D6YqWRAKVMtVUBKiFmYxPZrBWatL+NJ1I9iwimN8LEIU1UEIw3ipCEqAcr2OL383h2/f1wvmFTC3AHRlOdpyAoUsQTYGOIHnUngeQ8YjyPpAGIaYrgj0dhewYF4X2gr8Jz3F8Z/OH+xnnQNva1C3/08Fr41ncx2n+id4VccvFEU5kdHT3QEA4wB+HwDuufc/QICLwii4DLx2lUsrK184PI3nh/bAdwWEaECIUNYMESzOQ2RUwHMjtOVryPrTuO0hihu+M4CxiXbM7xRoyxHMWVTH03s9TE+2Y8ECgt5uB4cPZrHTbaCrvYSJ8hSe3d2G3kIf2vIR5vZM4mNXT4FHx3DrgwzjtRxyHlDgiYQYRRHKIUcYErhOFp6XQaHgYMGCRSjVfPR1F57v7c7f5vvu3UKIB+etvBDAh0/1aT9l45cO4Onxpk0XA8CDU5PjDwJ4iNFw6fxDo/zQ4WE+MLdncX9f18enJw4gm2U4fHgYE5MToIjQnq8j69UAUsZ37iP4zHf6MTZdxPIejmVzCNYtZbjioga+uIXivseA5T0RFnR4OHwsh2K2CtcRuP+nAjd/rw+bN7Rh/TKOICQYnBPhundPgrpHcdvD8zBZYcjSAMUMAaMMXZ2d6OrqBaUcK5cvwnRp/DON2vieM8/aSF2/g2Yz3i5A/LCrq/NUn9rXxPilB7gebe2dAPBD/f/o6Ahc1+sYHTny6MH9FNkMCTp7Vv6BEPxNuQxHe6GKvPghjoyU8a37+1AJuzGvh6I9X0NnERjsD3B4lGP/QRfz2xoo+EDGYxibjDA8LkBJBnM7ymjP1fD8Pg9dbS7m9vgo1zvR3Z7B+95WwWM7BYA+/M5Vp6On3UU+w0AovefYSOnzjAp33dq1mDcw98F6ozHR0/PaSDB4rY3/AvgMo7u7BwAmAPwAAI4cOQoQbBc86neY4L5bBR9/GPXIxVilgK62DMJGNbjy8nOvb8/Urli5oBKM1uZh7co8zlnBEYQCjPqgBAhdgT1TFOesmsLlmyimJ7JYsCjrdvRn76Tk366v1Ivu3K4IxQIDp0VsPHs9OgoeXIdSx2FHAezp6+s/1afodTF+6RaZr+S474FHAJD+WmWkfbCvJI5NN/D41hw2ndHAVEWgWvPBucBUQDA17WDTmRU8uE1gaszF2sV5snRx/6QQ4uiK1eee6q/yCzP+Pzestl2ODCKGAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE5OjU2OjMxKzAwOjAwDcseVQAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxOTo1NjozMSswMDowMHyWpukAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 147970000
{'hecke_orbit_code': 18014398543038275, 'n': 1, 'trace_an': 3}
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id: 147970001
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id: 147970979
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id: 147970980
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id: 147970981
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id: 147970982
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id: 147970983
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id: 147970984
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id: 147970985
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id: 147970986
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id: 147970987
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id: 147970988
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id: 147970989
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id: 147970990
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id: 147970991
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id: 147970992
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id: 147970993
{'hecke_orbit_code': 18014398543038275, 'n': 994, 'trace_an': 0}
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id: 147970994
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id: 147970995
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id: 147970996
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id: 147970997
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id: 147970998
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id: 147970999
{'hecke_orbit_code': 18014398543038275, 'n': 1000, 'trace_an': -27}