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{'Nk2': 20328, 'analytic_conductor': 40.57997430721469, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -1], [11, 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': [5082, 1, [3389, 4357, 2059], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-4, -2, 1]], [13, [-20, 0, 1]], [17, [-4, -2, 1]], [19, [-4, -2, 1]]], 'hecke_orbit': 48, 'hecke_orbit_code': 211669182519972826, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '5082.2.a.bv', 'level': 5082, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '5082.2.a.bk', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}+(1+\\beta )q^{5}+q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5082.2.a', 'trace_display': [2, 2, 2, 2], 'trace_hash': 2278142435958410863, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.057', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.987', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.287', 'prec': 17}, {'__RealLiteral__': 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-20, -40, -16, -36, 0, -4, -36, -4, -68, 4, -100, 2, 12, -120, 52, 0, 104, -16, 84, 12, 8, 0, 116, 12], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [1, 0], [1, 0], [1, 0], [1, 1], [1, 0], [1, 0], [1, 0], [1, 0], [1, 1], [0, 0], [1, 0], [0, -2], [1, 0], [1, 1], [1, 0], [1, -1], [1, 0], [1, -1], [1, 1], [1, 0], [0, 0], [4, 2], [1, 0], [1, 2], [0, -2], [1, 0], [1, 0], [0, -2], [1, 1], [-1, 3], [1, 0], [0, 0], [1, -1], [1, 1], [1, 0], [4, -2], [1, -1], [0, -2], [1, 1], [1, 3], [1, 0], [-4, 2], [0, 0], [1, 1], [4, 2], [1, -1], [1, 0], [1, 0], [1, 2], [1, -1], [0, -2], [2, -2], [1, 0], [0, 0], [1, 0], [1, -1], [0, -2], [0, -4], [1, 1], [6, 4], [-1, 3], [1, 0], [1, 0], [-10, -2], [0, 0], [8, 0], [1, -1], [4, 2], [1, 1], [-2, 0], [1, 0], [7, 3], [4, -2], [1, 2], [1, -1], [0, 0], [0, -2], [-6, 2], [1, 1], [1, 0], [1, 3], [1, 1], [1, 0], [-4, 0], [-4, 2], [0, -2], [0, 0], [14, 0], [1, 1], [0, -2], [4, 2], [-1, 3], [1, -1], [-4, 0], [1, 0], [-12, -2], [1, 0], [0, 0], [1, 2]], 'ap': [[1, 0], [1, 0], [1, 1], [1, 0], [0, 0], [0, -2], [1, -1], [1, -1], [4, 2], [0, -2], [-1, 3], [4, -2], [1, 3], [-4, 2], [1, -1], [2, -2], [0, -4], 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[-56, -8], [88, -8], [-98, -4], [10, -36], [33, -11], [-34, 0], [-57, 3], [-50, -18], [-10, -16], [94, 2], [58, -14]], 'char_orbit_index': 1, 'field_poly': [-1, -1, 1], 'hecke_orbit_code': 211669182519972826, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [1, 1]], 'hecke_ring_numerators': [[1, 0], [-1, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '5082.2.a.bv', 'level': 5082, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [11, -1]], 4, 3], [[[2, 1], [3, -1], [7, 1], [11, 1]], 8, 3], [[[2, -1], [3, 1], [7, 1], [11, 1]], 10, 5], [[[2, 1], [3, 1], [7, -1], [11, -1]], 6, 3], [[[2, -1], [3, -1], [7, 1], [11, 1]], 5, 3], [[[2, -1], [3, 1], [7, -1], [11, -1]], 9, 6], [[[2, 1], [3, -1], [7, -1], [11, -1]], 6, 4], [[[2, -1], [3, -1], [7, 1], [11, -1]], 9, 4], [[[2, -1], [3, -1], [7, -1], [11, 1]], 10, 3], [[[2, 1], [3, -1], [7, 1], [11, -1]], 6, 3], [[[2, -1], [3, 1], [7, -1], [11, 1]], 5, 3], [[[2, 1], [3, 1], [7, 1], [11, 1]], 7, 3], [[[2, 1], [3, 1], [7, -1], [11, 1]], 8, 5], [[[2, -1], [3, 1], [7, 1], [11, -1]], 4, 3], [[[2, 1], [3, 1], [7, 1], [11, -1]], 6, 5], [[[2, 1], [3, -1], [7, -1], [11, 1]], 7, 3]], 'ALdims': [7, 6, 8, 6, 8, 6, 7, 6, 10, 4, 5, 9, 5, 9, 10, 4], 'Nk2': 20328, 'analytic_conductor': 40.57997430721469, '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': [5082, 1, [3389, 4357, 2059], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1009, 'dim': 110, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17, 19], 'hecke_orbit_code': 33559514, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '5082.2.a', 'level': 5082, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 1104, 'mf_new_dim': 110, 'num_forms': 59, 'plus_dim': 44, 'prim_orbit_index': 1, 'relative_dim': 110, 'sturm_bound': 2112, 'trace_bound': 13, 'trace_display': [2, 0, 4, 0], 'traces': [110, 2, 0, 110, 4, 0, 0, 2, 110, 4, 0, 0, -12, 0, -8, 110, 4, 2, 0, 4, -2, 0, 0, 0, 114, 4, 0, 0, 28, -8, -32, 2, 0, 4, 8, 110, 4, 0, -8, 4, 20, 2, 0, 0, 4, -8, -16, 0, 110, -2, -8, -12, -4, 0, 0, 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16, 4, -176, 104, 0, 552, -80, -432, -32, 4, 216, 240, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1241797
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 48, 'source_is_minimal': True, 'source_label': '5082.2.a.bv', 'source_level': 5082, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 37, 'target_is_minimal': True, 'target_label': '5082.2.a.bk', 'target_level': 5082, 'twist_class_label': '5082.2.a.bk', 'twist_class_level': 5082, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1241798
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 48, 'source_is_minimal': True, 'source_label': '5082.2.a.bv', 'source_level': 5082, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 48, 'target_is_minimal': True, 'target_label': '5082.2.a.bv', 'target_level': 5082, 'twist_class_label': '5082.2.a.bk', 'twist_class_level': 5082, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3793700
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 211669182519972826, 'p': 2}
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id: 3793701
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 211669182519972826, 'p': 3}
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id: 3793702
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 211669182519972826, 'p': 5}
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id: 3793703
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 211669182519972826, 'p': 7}
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id: 3793704
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 211669182519972826, 'p': 11}
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id: 3793705
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 211669182519972826, 'p': 13}
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id: 3793706
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 211669182519972826, 'p': 17}
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id: 3793707
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 211669182519972826, 'p': 19}
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id: 3793708
{'charpoly_factorization': [[[-4, -8, 1], 1]], 'hecke_orbit_code': 211669182519972826, 'p': 23}
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id: 3793709
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 211669182519972826, 'p': 29}
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id: 3793710
{'charpoly_factorization': [[[-44, 2, 1], 1]], 'hecke_orbit_code': 211669182519972826, 'p': 31}
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id: 3793711
{'charpoly_factorization': [[[-4, -8, 1], 1]], 'hecke_orbit_code': 211669182519972826, 'p': 37}
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id: 3793712
{'charpoly_factorization': [[[-44, -2, 1], 1]], 'hecke_orbit_code': 211669182519972826, 'p': 41}
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id: 3793713
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 211669182519972826, 'p': 43}
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id: 3793714
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 211669182519972826, 'p': 47}
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id: 3793715
{'charpoly_factorization': [[[-16, -4, 1], 1]], 'hecke_orbit_code': 211669182519972826, 'p': 53}
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id: 3793716
{'charpoly_factorization': [[[-80, 0, 1], 1]], 'hecke_orbit_code': 211669182519972826, 'p': 59}
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id: 3793717
{'charpoly_factorization': [[[-44, -12, 1], 1]], 'hecke_orbit_code': 211669182519972826, 'p': 61}
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id: 3793718
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 211669182519972826, 'p': 67}
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id: 3793719
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 211669182519972826, 'p': 71}
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id: 3793720
{'charpoly_factorization': [[[4, -14, 1], 1]], 'hecke_orbit_code': 211669182519972826, 'p': 73}
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id: 3793721
{'charpoly_factorization': [[[16, 12, 1], 1]], 'hecke_orbit_code': 211669182519972826, 'p': 79}
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id: 3793722
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 211669182519972826, 'p': 83}
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id: 3793723
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 211669182519972826, 'p': 89}
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id: 3793724
{'charpoly_factorization': [[[124, 24, 1], 1]], 'hecke_orbit_code': 211669182519972826, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 48, 'label': '5082.2.a.bv', 'level': 5082, 'portrait': 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K8MsRbEacBiRzIY+QSeQBjN3JRm3WTKUiekMxAME5/lvmDjpGaxrTl+TlHzAzbOwNa5iA2zQ9bPjtg4O2LrBsP2jYrLt/nUVZMjxye4/+mAR59LePJYTKq6fNutbd72UkNdzfLcsSmOnPY4dT7l7ELM8XnDgQXDDVfN8/PvWmbbukkL7uU6Cys+C22rz9u9lN5Isu/oIs+eaF++/+Dplx8/dXbn8dPnvnTza94e3fvlj7/QkPgrPf5WM/j8YodRkqKkePfdjxx86X9470fkd9165KX/5p3HvZWVDSy2p1hYaTK/XGN+2WNhRbC4krLUjllsp5xZgcOLgvXrVviF71/kJZc2OHFuhtPnm5xe8Di3aDi7kHByPuV8N2FqZsjLru5x0x4IZJ1QhZxbqnFmwePskqA/giTR1AJNs5YyPZmggWNnEzo92LHBp1kfYYwAEdAbaLZvHLG44oGxUmSlB6MEDIaldsSW9T7dgUIog9AjJmo+2zcNWekLjp32SLXH7ISkVROEPiSJoD+SnF2SnFk0nFtOCMMh+Ak3X9HjpVcK5ibqLC5PcOJcyOkFOLeQcG4p4dQSHFo0vPiKBX7x+5fZNDXB8bMznFusM78SsLAiWVhOWerELLYTFtpwriM41oXR8hK/8VNx8gNv9L/pz/64VrWrvgnmZ41Q+MHUCw2VCz7+1jL4r/32x3ntK6/nX/+rf/tLv/+Rr//r3/jQ1y4+cHxl5+HTXXnLVSN2bdTEiU+qFVpLtJFoJCCx89bgSUOo4NRinQcPSq7evcSebUMaNfA9SeArgsCjWZc0fEm/57P/aI2vPBpw7PyIThKz/8SIDbNLvOVly1x9cZcX72lzdCFhoS9ohEMOnza0O02uukiyMkzZe1TRang8cwwu2WwYRinDNMDzYqZbsO9EiPJSfJng+TAYSV6yp8+gL7n64pTOIOXY6Ra7NiqajYiVkWH9VJ/lXoeP3gmPH0l58siQHZsXueayDtMzEW+6uct3vMKwe2OLNJ7iyKlJDp30OXFWc/J8zMnzKYfOC46vxFx76Ty/+P1dNk5NceLsDOeWGiw4cC+1U1a6Me1uykrPsNyXnBtIer0RN1+5yE++7ZxshenOztLhXXEc3eg1dtfD2uxXj+z9KL/+m3/xQkNmzcffSgb/vQ98nBuv3qQ+f8/h/3Do6Pl///DTx9R8J6adKDqjiOt2nefXfnyB6y+uc25xmsWVJovtGkvtgMW2x3IXltspy52Epa5lohPLAq8+5JYrl/iuV0TsWt9kpTfB+aU680uBW5qtRFjuajoDTWdk6A8TZiditm/QgCD0DSfP+wgZsmO9Ytdmw+b1fc4tj3jiQIsXXWJo1Jd5+uAMrWZEFPnMTmsGQ7h8+5AP3znFZdsSRiPDuklJnA5o1UKeOTqk7je57tKEJw9HnFsM2DIbsmsTbN8YoVTMyQUIfIMQhh0bEqZbku4gpNf36fR9ljqKpRVYbGuW2ikL7ZSzbVgcpmzf0uO7XrnALXs8av4EZxYmWFiusbDisdQRLLc1K92YpW7Kctew2IUzXcX5dsxNe87yX398gT3ba7R7TfqDgChp4TUuSf1w8y+tRNf+x4Z3KL3qxd/xQkNn1eNvFcD3P7efeq1WP3Xq5PZ7vvnUO/cdPP2f9x44RWIUw0TQGUkWhoKlfsSLd5/jv/34EtdeVOf8kgX5cjdkqR2w1PFY7sBKV7PSTVjpJix1DOfagtM9A6LH225t86aXaC7aVCOKGiy3a6z0AtpdxXJP0O0LhiNDlBjSFJQ0hD7UQ8PUhGH9TIznDzl0JuKpgyE6afKGGyM8f4VH9k6ycxN84cGEW68KOd8eUPMUSRozMw1J7OP5CYuLDV52fYcv3Ndi1yZ4+MAInwavf4kmEQOeOpRy5GQNTwZsmPaYbgrqoSAIBEpAoiGKDcMIun3DSk/T7WtW+prFnmGQpuzY2udNN7V520sj0C0WVyY5v1Rnse3bcWrDSjel3UtY6aYs9zTLPcHprmK+k3DDped4z4+f5+qdNZbaE3T6dfrDgMHIYzAEv74dGWz5fxrTV/7Fli2bj0ej4eDiSy57oaGUP/7WAPzsqefYsH4u2PfcwR98du/B991976Pi7HxPDmMYjDSDEfRGgs5QMD+UzPciXnLJeX7lR5Z40cUhCytTLKy0WO6ErHQDlrseK13BStfQ6aWsdBPaPc1yz3C+KzjT1kxP9Xnti7vcvCdhxwbFRN2n060R+hJQRIlEa4E20B8CQjPdGnLglEGbiDsebjLq17l4S8AtV/eJ9Qp3PzrFdZf4HDjbo708wU1X9/nqIyEbZgx7jxn+6Vs77D0asmFG8pVHFbdcrljqdzh8YobrLo24+6kByajBzVcE7N42ZJD0+PIjClLBoZMeEw0PT0B/INFGkGpDnABS4wWads/QbMVs2zTipZf3ee2LEmabNc4tTbK4Ume5Y8dmuSNo96DdTWj3Etq9lHbfsNSTnOkKFroJN+05zy/9yDzXXhSy2J6k06vTG4T0hj79oUd/qOgNJP2orjduvcps3b77J3buuviPlhYXomuu+tsB8r8VAE/TWCZx/y2HnvnsxUsr5j333f+YP78i6PQ0vWFCf6jpjwz9oaE3ErSHgoWh5Gw74eY95/nlH1ng+ot9VjqTzK+0aHdrrHQDVnoe7a6i3Yduz9DpJ3R6Kb2Bpt03zPcE8z2I0xHXXDJg40xKr294400jdm7UJKnEk4YohrueqHH8fI1N0wlPH6qBbrBnq+L6yzRhrc8jB/rMLzS5cmeTiall7nvS54ZLaiz2V1henmDjRsODexXf++oeD+312LreZ6HXZnlphusv73Pf0ykz9SmuvLjH+XabB5+dou41efFlhku3D0H2eOKIYP1MzLn5mLuf8BnGCikh1YadmyJee1NEt6fYPK25/hKIogZL7QZL7ZCVnk+nr2j3JJ0edPopnV5Kt5/S6WtW+rA0EJxqC9rDEbdcOs9/+pFlXnxpwPnFKdoO3N2+BXfPgbvTlyx3Us4tjLj62hfHo9T7qR/6vr9/cKJV/1wY+PqFxtYLHslMoh467n//0pn7f215ft/MmTMdWk2POFUIIZASlExRUttDGZQET2qU8HjowAZ+5g983vrSJb7n1Uvs2hxxdnGCMKhTDwMaoU+z7tGtS1oDn8mmR3+Y0hukbBhpBiNDdxiyNF/j5AlDlGhOnU0IQwMIAmXwpKA/UAh8kr7HtTsFuzcbtm/pM0q7fPEhxb6D07zuRSHXX77MB79oCESDnVv6PHmfYsuUYt1En5qqE8U+57vQrHls3SB4fF/E9ZfWecV1C/zx7QMCv8VrbjT4YZ+vPRjxhQeaPHukzkWbG+zclDI3HbFrXcxVO1OU0njKAIZGGDI3FRLFPt1+wNMHfHpDj/5A0RtKegPoDQ29vv3u3UFKb2DoDAwrA5jvK84ua5oTbX7yjfP8/VtGXLOrwZn5CQvufkB36NMbZP+moDuQdPuG3kATJfCVrz/k11uzv7Z580NLb37tS/5Vu9P/48mJxv93AZ4mXYAfXj5717vPHf3yzLA3wFMN6qEhqhu0th4RKQVSJiVgG5Q0+NIQKsmTB9fx2IEGB06f560v7fHSK4ZMtSZYajdodmpMDAJ6fY+uu9mDoUd/5DEcGYaRJooNcWxIUntESYDRIJXA9wS1QDDVEky3YOM6zdYNfdZNt/nSI3DPYz5ST/K6F/lcu6fLvc/GRMMJbrlW0B4MOL/Y5OZLNeum+tS9kGGimO/EKC249lKPRmvEo/trvPz6SW66psuj+xWYSV50RcAPfdsSX3084isPNdl7vMb2OcXGmTrTrQaTLaiH4Ht2wmsDe48I0lQQJ4IogVGM/Y6jlMFIMxxptxpqegPojGC+JznfhZEecNt1S7zlpW3+wWs0STLB2YUmnX6N3iCgO/AsuIeS3lDSH4h8wvQHqR3DxHD22Fne/6EvzvRG+r9+79tu9VY6/T+YegFB/oIBPBktgNE/1J2/490rZ76wXicDgqBBmGhqcUpcEznAhVBI4ZhciZy5fGXwlabuCRb6dT5y51a+9liHW69a4V23rXDVrh6zUw0WVxp0ByH9ge+ArewRCUaxJE4ESWKXepu7ZY1Kz4NaAI26ZqYVs2V9n4QeB07FfPTuGodPNJkK69xwhcfNV3d48Lk2d9w/wY2X1Ni+qc+H7xQoETLRilnpjdAGlIC5iT6dboBO6rzl1vN85AsNdp+r8aYb+0TxInc/NUuc1njJFet50w0dLtnW5muP9nnyRIMnjgRsnZHMTAgaoSDw7SSUAoQwaANaW7AlqSGKDaPYTuRhBIMIukPB8kiw1AXhDbnushXe9doVbr0iZXaixkqnyUq3Tm8Q0BvYlSADd38o6I8E/aFhMEjpD93kiQxJCkL5nF3o8Nt/+tX1/YR3f99bX2pOnF35w20bXxhf+f+rAD+3ZFAeYrYlzODcX/yATrvvGSw9tU7oDr7fwE9SAj+hFkpSrR3YJAiBlAqpBEqmeFLgSY3vaQLPEPiGui9YHioWV6b5i683eeDpHrdcs8K7XrPCdbvbzKZ1kiSkP6zRG/gMRh5RrIgTSZJKUi3QRiAwSGEIA02jlhAGEYE/4tTiiNsflhw8GXDk5DRKh+zeFHD5LsWL9nRQ4TxPHWqxZarBlRfBxrllljoTXLVFkmjDlx4KGfUlU82E179kyOfujjl+tsVlF/ucWRnyzGGfbRumuWbXPPc+2eW+ZwSjKGDPrhn2bAvZs7XLoTNLHDwFD+1rcOBwk4YnCD1JMzTUfJDSRQCMnaxJClECUSpyA70TQ6QTtBny4ks6vOu1HW69KmXTTMBwNMFiu063H9IfBFbiDBX9oWIwFPSHksHI1o0ORimDoQN4ZBjGhlECUQoaxbGzbX79Q3euf+LAyfesnw6TH/9Pn/7gRXOH+el/8i/+7gIcMwRTu/XI0Uf+0O/9+sx0eHKdMgG+XydJEwJfkaaSVCcW3MZenpASJQVKKjwl8LwUzxP4viDwNIFvqPmGRpAyVRN0Rz7LnWk+cc8Edz4xZMN0n3e+ss2ebUOGgx5X7jJs26gYxT5pqki1xGTglhrfSzl2znDkrGBloPnMvQ1OLUxjIp/pmmLzrMeOjR4XbYErd3fQcoH3f67J0tIkN+7xuHJ3m689IRCJz/ppSbOR0I8DpJFgJMoLaA8F55YEV5gGr3xRl28+WmfzuoAbr5zhH33bAn/0hS4P7W/SG/osrrTYtbnOZZv6vOTSLm9/eZfTS0t85t6QxX7IsTM+p04F+EogpUQg0MaQaoi1IU0007MxV1/RZzSK2bNtxDteOWL9pGKmFRLHNc7M1+gPAvoju8oNhsoekWXtwUgwHGFXglHKYJRayTMy9Ed2dRjGglEiGKSCSCiOnV3iwx+7e93rblz33lffuineNLn/z/7tL/82//Vn/snfPYD/6C9+kA2zNfHZL/7Wrobcd+n6xj7Wb1OkqSDVHtqXaC0xxrq/cFJBCIWUJge370l3tkAMPEHga2q+oR4bGpFhspYyXRf0I0k3anLkZJNf+bMZ0AkiSXjR1X12bYxIEtBGY4wN4kghkErg+QH7jwfsPVijWfNoBZJ1DcHcrGT9jMfmOcWOTSmX7VghFYv8xicnOHZ8ihsv9dmzM2WQdLn/qZCpus/spGGqFdGoWymktaQ9VCz1DIvtlHavzsuuXOHhvX32HVdMTdR4yRVT/MhbFvmtT8GjB5v0BoaVrse5pQk2rmuwfnrIjtkh/+Y7+0w02jx5BPafkPi+QSmDEBow9v8GkgR2bky55aqENPaJkxBjGgwjn7MLAYORXdGGkcrl2yASDEeCYWRZexRZLT+KtJM7muHIMIg0wxEMIsEgFvRjQTcRDFINOiaKhxw6+vTUnt3d39+x/uLkPT+962P/6Yd+3dQ2/Mu/OwD/sV/4IzbNtdT3/tv3v+3df3T2/c/uO8Yrrp3mF364w5U7h4AAI2yyFCLXwUKAFAapPDwJvsuN9pSwYXZfMoo0YZQyig31WDOKNVFkmEhgFGu7bCaCYSwZpSFxWmPfwSZP7IPUGCy0rTb2JQTK5ny0QrhyE0zUYbIpmW4pZqc81s/A9o0jNs2tEJslfuOTkxw6PMn1Fyku2irZvXWZrz+TcG5xkhftkkxPaGrBgFCGGCVIUokwhiSNWO7VOLfoc/2eOtde2uXeR2tsmBY0ai2uv1Tzk29b5L2f0jxzqsVKT7PSVcwve6ybajI9UWd6YpKJRsxcM2bH9RGhn+B7CUqlSGEH0WAnVRwrzs97xIkiThRRrBjF7hxJRrFkFEmGkWQUCWugRoJRZBhFdlxHIzvOFuQ2wDSIHbgjQS8SrMSCTgI6jmA04LrdHX7+R9rcdNmDjeZk/MHoXKT9YPMno3P/LQ02/P++9QH+L9/9USYn6urk6cV3HDhy9o8ffPxkzYhpPnXXkFRL/uOPtbly28A55A0InFQoDqUMnlR4nnI5JMLeBF8wChRRbIEex4YoKSz6/EghSQ1pqkk1Vm9rcnALgfPQgO9D6AlqoaARSpoNxWRDMj0pWD+TsGNjn1ZzhU9+M+Lup2ZYWZjg6u2KHZt8Ltk2JBUrfOmhBk3fY25a0WoMeeoQPHvY46pthv5Icc0lMVfvNpw9kzK/HDAYNnjDDV2+8eSAA6cUzbokDCa46iLNf/yBRe56ZsDn7lrHYsewY33KcttjakIx2fRpNXyadUMt1ISBJvRSPGWllnSllcZgA1ZakGhJkgqSRBAnkigRxLFkFFvPSxQLotgQRTCKU6KcNLQFd2ws6GMYRoZBbJm7Gztwx4Z0NEImPa7d1eYXf2yZv/+yiNGoxijaV4v66kODUf0fJmz++OKx30tnd/zYtzbAR6mRJ86tfPfeQ2d/55Fnz9RMvQE6AaX47L0e0Ujxjld1eedtfSZbGtW3N0cp6/f2ZIrv+dag9DVDXxHEksiXjAJBFAt7c2JFnEAUS+tBSAq3X5Jq0tR6F1LjPCX5KpH52gWeJwg8QRhIaqGkWRdMNAxTLc2GmRFz010Ss8LHviH5oy/Msr5W4+rtgu2bfHZu1uzYtMwn7zcsLdXYs1ExPQGtRsy5o5LzyyHBLhjFgrlJydQUHDhiWO5ozi7UuGRnjVe/qMvt99SYbUEYBCg5xVW7BT/6pvP48jyfvXeaZ0/V2NCJWT+VMNlUtOqKRl1SDz3CAEIfPM9YkAuQogRy7MRONaSpIElxQIc4NUQJxHFqSSHWRO48ijVxjAV34sAdC4YO3J1Y0I4FvVijh0Mma12+641LfOeru7z+RYZev06cBKSpIhkdqYmg8ftBQ3pC+n+O5ZlvTYC/53c+TZLqH/j8PYf/21P7Tk40aj6RgVgrUumB9PjSgx73P13jzMoy//RtfaYmEsJRQqdvgzue8vFjje95BJ4i8D1GsSRyzG0ZR1gmcqyUJBCnkKbWk6C1Nbi0NlkNpwO3BbhSwul6C5BaCI2aplVPmGolzE0NWDe9wjf3RXzojjr7j0yxc9Jn90bYujFg6wa4bHuHftLhwb0T1JXP3LRiqgVTrRHTkwlB4CGEnVyDUcBSJ2alb2j3Es4vB2zf2OKmPee546E++09N0AhjfBUgxCS7tyi+7zULvPiy83zojhYPPj3FYs9j/UTCVCOhUZPUa4rQF4S+xPcFnpIohXMf5usjxhi7ejmgJ6l2q5slhTjRJKkFdxJDlJjiiG2q7ygp621JJzGMBgkm7jPb7PITb1/i33xvzwbYunWixCdNPZJU2bz90eGJJBG/4bdeHJw7/JE/2nDRd3/rAXx+sY1S8od/5X2ffPeJYydnZ0LQaGItiLRgqD1GUpG2fFYin//2kYC9B1f4ey/v8Yrremycjeh06wxGIUHkE/gBge8Rxqll61gxSiRxLIkSu+zGifNppzjXH465JdpQgNsGKR1zg6dswCTwDbVAU68ltGoJ0xMjNq3rcK7d532f8fnSwzMsLTe5eE6wfb1gy/qAresFuzYP8YIVPnK3x+ETTS7dIJluSSabKVKOODVvCD2JFGCMIIo9dqzv8BApnb5iuWM4t1Tn0q013v7KNh//WsDRcyG+FyOEjzZN4kTyol3L7PieDl96tM+HvzTDI0ebbJkWrGumNGsptUAQ+oLAl/iewFNYw1mKPCfDYCeZNlhPS2oBn4M8tZLOroIQZcyeiALcCXQTSS+GQZyS9kZsnevwiutX+PZX9Hjji1N8Uae9EhInPknqkSTWW2XTm2EwOj074ffes3H3P1DRqP0HQfh/puPW/xGAn19oE/j+P/rop+9+9/0PPbO+6RkMdlBTYytd6hoGqWAofYZS0Y59PvL1kLue7HH9ni7f85o+b76xw7rJEf1hjUEUE/o+ceIxij3ixCOOrcEUp5IkkcSpIEmk88yIQmtrQa5KTGa8YsP+LlgU+JowSKmHCa36iHVTPQbxgK89Zfjo1yd58OkppgOfq7YYNs1INswGbJ6TbN0QcdGWZZ48OuAz35hjUnnMTQommoKJRky7n/KF+2u0AoMQdgwGI4+33DLi8w/YnJh2T3N+2WPr+hZvfWmPB/d12XsgoBkmKCksyHWDYWS1/ve9us2lm87zkbs63PfsFMeX62ycEEzWDI1AU/M0gQ+eEihpJ7JlcsjSj7STaloXK1zigG4JAuJUEKcuKpoKBok9uimMIk0SRTTrPd76+mW+5zUdrr8sZeO0Yjhq0u0HxIlHkngW4KlzARvh7AGIzz293gu//u65bbfpaLjygaD2Nx8M+hsF+PziCp12DyX5/k99/u5f/egnvzrbXl6hGaqCMdzSGGuoSRgpwyAVDFTA0Pc52Qk5/UCDB57q8/Grurzjtj6vv2WFmcmAKAoYxQFRbIFuD0WSKJLUBWzSAuDaOObWRU6ZEMYZlTYa6nmawE8Jg5h6GNGqD0gZ8NVHJX925xRPH5lExCE7pw2bpgzrphRzMwEb10k2z8Vs39jhxHyX3/1ck2RUZ+tWwVTLY6IJE40Y4Ud0Bk2mWgYhrIcoTiQzoSLRCd04oNtPWe4oTs3XueKiFj/291Z4z5+HHJtv4qnYTQyPJKkxjCQbZ0NedHGHqy/q8cyxU3z063XueGSK0+06zVDRCqDpGwLP4CvwpA3nC1HNrtOA0Y54tCA1kKTC3p9UEKUO2KlgmMIgMSRJjI4jZmsD3nDbCu+8rcOtVyVM1T3ipMFyJyCOA3dfLLDjDNxplp1pDzPsMjr41fVx6v3q+q0vTTrLJ/8kCFuE9b85oP+NArzbHTAx2fz2O77+0G99/FNfmRj22kw2pNV92bLomCLQ1rAJtaCWQiOFfioYqJBR4nN+WOOzDza5+5k+L/lKl3/2HT0u395l/ZRioukRRQFR4pNkIC8NYuoqfIzB1Wlm4AYpbMKWpzSelxAGCb6K6Axi5jsx/+OTNY6cn+bRvVMYHTBbF6xfZ1g3KZidUMxO+WyYlWycTdgy12d2apkvPaZ55Nkprt4qmG5JWg3JREPTrEcIf0QYenjKfr4xkKbS5VPHJFrQHWi6PcNSx+fs4gQ3X9bjpitW+MhXatSXFJ6MLSCNR5IGRLGt8Vw3VePFu3u8+OIeD73iNMfmJR+6Y4rzKw1OLoYEStL0BUEmw6Q1PHMiz+4J7r4YQawh0YJRCsMEIm0gTSCJkWrE5ukBV+/s8c/e3uWGy1Mm6h5J0qTdC4gcsK0sqRJPkt0XLfLDGOgN+/Sf/eqsMf5vbdx2w3ISDz7zN4nJvzGAP/X0fnZu36h+7X0fvviJp/ZP9LsrTDY9BzJn5OUAt0UEgRIk2hCkhjAV1FJDpAUDTzLwawzTgMWozh2PTPDNZ4c0wxH/8I1tts0m7Ng84OYru3jCloghsiiowmgbLDKmxNwYhDQoYX25hgRkwjNHJA/v87j9wRbPHG8RJQ1anmKubphpGqYbxvrBJzxmJj1mpwQbZxI2zw3YNLfM3U+PeP/t69k05TE3ARNNxURT0Gok1MMR33xOMYw8/KYFlTGCKJHUPMV1lw544Kkpm/g0SFnp+CyshJxbmObH3nSOkwuLPPD4HL4ERIwGksQjin1GkaQ38Jhu1ZiaaHLTpX1ecXWf73nVPPtOaD7/YI0H99V57nCTRHiMRop+rFBCIoQYMzxdTMBoEm0wWuOLlMkgokbMTdf32LVpyNZ1Me96/Yh6IGnVPaKoTqdnV9QkUVaSpConnMRJx1Rb4klSC+wsLUJr66fv9buke++eWF46c/E1N/4Dde70wXTD5ov/9gD82WefZevWueC++x/6wZqX/Ldhb5GZCQ9E4ZbSud5zAC8B3U8zoFvtV9eGUSoYpoKh5zNMffq6Treb8qsfmcYkMRvmhlyxfcjsZMI7Xj1g+/qIOHbMgHSBoxzdlr2lRkjBJ+6q8+ShJsLzOHa6walzDWp1xWQomGoaJmqaiRq06oLJhmKipZhuecxOwbqphA2zQ7as75CaFT7xjQkGvSaXbDVMNBSthqRV17RqCb4f8aUHaoz6En+9rRbNJEqzrnjDSwbc85imN5L0BimdvsdK1+PsYoPLd7V4x60dHn2mwbGlFkpqIHZ62SdOFaPYBmZ6Q492L6BVb9Csj7h865AbLxty4nybo2dW8PyUJw57fPzrDYSyaciM9x80GtAYY0iilB0bEt756gHrJlIu22HYMAtp4jOKWiSpz3LHqwLaBZBSbfN70py5hSMeUQF4qgstro2ie7qDrPHf9j7zSH9ydtcfPffcvujSS/f87QD4ubMn6awsXHri+In3PfXkI3KqpdCpTfixh7A3Jn9POBcVpMrkiUGJ83rEGmqpoaEFcQqRFkSpZKQlkfaJNcz3Jvj6kxpDyqcftC0bMNodWRTPuciEzUgUQiKVIok9pPbwPUkrhF1zhqavaYSaRgiNUNCsS1p1xUTDY7IlmZ6A2cmEuekRm+e6pCzzP/6yxr1PrWf3LEw3HHs3JK16QqMe0WwMqNcbhEqipNPg2Ekexz7DgWAwSumOFL2hpjvQtmSuGXDy3CQvu2LET37nOX7t4x7HV0KE0BgTo1NDnPhEsWQ48ukNFK2BR7MW0KjXaIQNamFMqx7xoksiAj/mhksS3nVbH08lLgikEcJURbmTdFpLhJCEvgIChiOPxWXP5u04KWgZusTUqbSektRGaxMtcta2IHfALjkA0jTDgfV8nbz/EXnZFep9cxv634ii0dN/E9j83wb4I/f9JZNT1I8cfu5tp48fEuumA0aRIEpSG2xJXPQwNSVwl8CeFq8T7bLgskCEe56430s0JAbbb0RLEiNJtUesQ1JnxJYfeZRSgCeEC/dDrW6oeYaaSgl9CD2oBYZ6KKgHkkZd0qh5FuBNwVRLMzORMDs1Yv1Mj83rF3n/7ZoP37GBbVOKdS3NRFPRaiiaDWjUU1r1mDOLmkNnQmqBTb+FLNNPMIw8dm3UbFw3pDMMGAyNY3HJStejVa/RakzxrtvOc/jMWX7/M1vwpIdBk+qURBvrUYoUg0gxGEn6NUlj6FEPfephSrtrbYzAT/G9FN9P8aQtlJDShvOFO2zqigCEA7mgrV2WpXb62enoQnLY55lxn7F14kCcATvRYwBPrc633hrhAnTQG8A37ntMbN/RftvWbTsPfeCDHxv8ox/4zhcW4NMTBIPe2Z+Jh2d+JvSGcqqp6Hs4kNtMNhtJNLkkyZm9BO7M+KyAX0NqyIM0WZg91SWj1YjcUCprbsBF8qxh5UmNJ3F55OArge8Z6zf2BLVQUgsk9VBRryladUmrYZhspky1EmYmRqyb7rN9wyIPPjfiI3dtZroWsqGlmWgIC+66pFnTNGsJrcaIB/fDE/saXDxnnO4twuaDkeKGywyXbB/w0NNT9EeGwTClN/AcyH0atTr12hTf9fIlnnjuPA/s3QhGoXVqiSAxJLHJ80kGI4/G0FCvKWqBJgx8wiAl9DSel+J7Gk9lUWKXCiEMCNssKaOFwjgvPB46B7qTF2n2XDrWrjJzMgbmNAd7KYqa4sBt89YHI02725Wj9PR/SEUjaDZbvwRELxjAo6gnk3jwC08/+MF/1e+cDGpBjSS1jmYlBV4iiGO3ZKUaT9tgQsHmBci1pipnStG2PPJmDNpF4rJghXEJU9mjDPEsVJ0FdJR0EUsFvmcLBQIX/QsDRS1U1ENBoy5o1Q0TjZTJZsJUa8Ts5IDNc8s8sH/AL/zxBo6fnOKidZqpBkzUFc26olmDZi2lXosJ/CHtoc2C9JVByuLKLLtJ4iRgoh7TTzR9l2fdH6Z0+5J2XdHohtTCFjs3xvzHH2zz8x+U3L93AwaFNpo01SRpQpRoolgxjBSDUFIfKWqBJAwMYaAIPY3vW3+/p4wFuHJ5Pk6mCGFWFehqZ8doIzCZZjZl/Swc6UhHUo65HYgt2DOAUwJ45me3lVRxYnNdBiNNnMCBw6cC6bd+6mf/9Zv8d3X7/89Eq/HXDuf/tQEeDduYNP6lU4e+/i9Wlo7VPE/ZwgOtAYkUAqUsqLLknkQbdGpItEZnIM9D6cYNkMmrxXXFODWlAcexTC63S/yTheALeZLlmihl3WWeK0XzPUkY2AZAtdC2ZKiHhmZN02qkTDRiJlsRMxMDNs+t8MC+Pj//R+vYf3yGHTPWw9KqS5oNadm7bmjUUhq1mDiN+NOvtJBK4UuDEoWbUJts0vt83+uW+fIjEd0odIXVKb2BottTtEOPWhAS+hNcti3hP//QIj/3R4L7nt6ANrYoJEk1cWITzUaRZlSz6a5hKKj5gjCwkc3AM3nE1lMa6WpbpTC2UCIDeBHydCB3nhZdgN3elwLg2jF07k9Pye2s/HVKYXdpGyVNUk0Ua5LE2ISuWBMnBikV+w8cq/3lZ+/6l9/99teIpeXOz85MT/y/C/DuynNgzE1LZx+oo0c2Z8RzQDV2sDJgxQkkKtNkBk8LFyLOQF6UWtmEqOx5KXfC9R2sgHuN68oAnuVgZJE8pYStBPJEnlfu+9LmbwSCWmh7njTClGbdgnuiGTE1MWBuqs2D+/r8wgdmeObYOrZOC2abJWlS82jWbP5KvZZQDyN8f8SpxWl8JVBSO7dcYWSmzijbNG2DJ524xmBkGI40g2FKdyip9xW1wCfwa/jeJHu2JvznfzTPv/tDeODZ9U7/asuESeqYXDMKNbVIMgxULsF8H3zPSjSbp2LwJE6mgHDnMsYznJtctpQyEytnSmxeTIIkLVbgTHaWUwKSRLv8F0MUu9rYFNemY8QXvvpQ/dJLd94k/zd2nPhrAfzM4U8jTNQ4ffhTgU6W8DxFog2+p3P5ILD+VimMY3H3hXOtZnLjMwO2NlldpMlZuwpq87zghiIknWUJSilyaaKkzScv5AnUfAgDTb1mqIdWPzfqMRONiKnmgHXTbR45MOTn/mCap47NsXlKMdfUTNYFrZqkUVM06oJ6zU4OG+qPeGCvoDcMqCncJLMaPCtCSLUgTjyaNcXNV3Z58JkJ+nFRDtYfKLqhIgwUgR84/TzF5ds0v/wj5/np34P79q4n1pJYa1csXdRgjgJJGGjL3i43xXeT2x44mVLIOOmivGuB3NVPOLlCPlHHgZ5LSpNlLRYrdFqSqFmSVw5wd8SJ+xsjOX2+zXvf/9ngx77/TY3f/uPP9//JP3zz/3mA91YOUW9tnzp18CO/mybDl0OCkhJfabQncjBaJrWJPioFlYKXltyDbunSnsjZOtXGhY5Nrq+NKZg8C0rk1SqUboawCUVCus/NPjsHuGVx37NMFvjYSqDAJViFKXUnL1r1EZOtAdOtDo8fHPFzfzDNE0fXs3HKY66hmaxDsyZo1hWNuqKRs3dKLUxoNYbc/UTASrvG9HQRJs/Aki3pcapYP6u47doedz+sbRVNpEsgl9R8Sc338L0Az6sjpebybYZ3/8h5fvr3DPftX0+sPWKXAWjTXi2Th7HMswsDT+J5LglLCpSXjQ359WWTMJMqIstKowgIFUAvwvxF8lZhL+WrsR5bqXXB5Im73uwcJ+TJXtpAnKR0esOXP/7MkT/8mZ/8jn/8ipuOrlx9xc7/swAf9U8SD8/99LBz4LuT0TxKhjZpSWt8bWc3vkAIuywrIYgdgyZOi3mqKDrINFyu69wgZWyt12Lu4j95RC7X3jLLoCt0d5Yx6ClsfoZn8H1bWFwLNLUgpV5LaNRimrURrcaQmck2jz434md+bx2PH97A+imf9Y2UyYZx4HbsXZPUQ8v+tTChEUYkekQ3ChFK4mcMnmvwTKu6BLHYpxkMbbpAVGM6A/kwpR9YBg8Die95+F62Aa3hqp2G9/zjc/zb39Hct28DsfYYpYIo1Y7FBbVYE/qGwNWuel5R8qfcipbZSVamiNIKaEe1vINJefyrtlBJTuavTWFHlRi8HB9JckCbwuh0siY1Ntp68swijz1z9Lu/fNcTh4aj6N/9H2XwZHAQVdux49Te916djo7jeQKTGDyVutwCbQdA2EJhy6AS5SpqPFW4kwpPiSiWuhzchQU/nk9SuLpNwdqlm5Ivt65CJ28U5Lk2Ey4JKcserPmp080x9dqI6Yk+k80uD+xN+Nn3r+OxwxuYm/SYq6dM1gwtB+56zboTM3DXw5RakDDRjNh71HDXo00Ct7JJWUxEKJbvOFUk2uOVL4q5+KIeh47XmWvgysFsDWR/6FjYU3iej5LGBY0MV+6AX/7RBf7d72m+8cwcw7jOKJVEiaHhlvzQx4Lcy1Yv7SSKRKo0X+GUFCWAixLIS8tk2aCvEE9JRjobLKvs12WQmyweUuTqJ1mQL2dwm+iVBf6E9Hj24Fk+/sWHr/6N//IjOx7bf/LY9Zdt/ZsH+Kh/Aq1mdo4Wv/7r0pz9dkEbpWoW1AY8L638vgWbRApt2z04eeI516DOS8dMibkLUGcDli2JYzEcsqVzFbiFQarMLWjB4CnH2p4h8DS+rwl9TRgk1IKEWhjRqI2Ymeyz3O1zz9Pwy3+2kScPrmOdA/dU3dCqC5o1kfvKredFW/YOLMDr4YgoTRkOatSUnWRSlJZ+smihC4okntXy3oiRKwErAK4JgpTA9/B9iacUSvo5wBFwzS7BL//jZX71zxPu2zfL6fYEw6ZkKjW0EtttIHSHn0s049yFlABeMHh+ve6i1+rvZxzb5PfK5ZkbXWZxcruqKLIwObkluWclY/ASuJ17UQPz7QEHTq98+0c/e3/69tuu/pf7D58+etlFm/9mAR4PDiBV88Zh+8m3Rb1n8FQDY1KMysVCFdxZPaUUqFSSqiI0q5WouASzQSmztn5ecBefI0TW7iFjb+PkiavldA2CPC/ro5Klx1pwh4ED90yP+eUB7/7TBp+5f46F3jRzk5K5mgN3zeruhjMs66GkERrH4FZ718IIiLjz8YDlOGA2pJKPjSh5Iowdjyj2mAg9Xn19nwf2R3TjkMlY2yr2SBOMbK564FmAe8qgpI+QNkCDgT3bJL/2zzp8/oEBv/SBDZxcmGYw5TEVCFqJppFAGNvWy4GyDY38zNCUIjeCs3PZUC9PzIpcyVm8WkQxLi0LQ9RUYxqlXKREF4COXapGooU7AOFxz8OHuGj7hrfNTTf/dKU7OPo3yuBx1MPzG5e0z331n/eXH0MI3xUM6DFwu2CvMK7dmiGV1iWVpsKCvBQkKNx/mSWeGZKFpc44wCtGkE1/FSUvgHS5z9YNZoHtKV20mfBdc6EgJgxiWvUBntfn7idS/vALE9x+73oiPcH6CcG6mpUl1gWY+cmVO4Rj7jJ7x3jeiG8+O0U/8tjUMC5iOM7gmVtNEieKmq+46fIBibYAH8TCNtLJKthH2hqHnnAsbieycONtEKybEnz3q3q0wtN84AsD7nl2lrNxnX5NMpEYmp6xIPecHaKMs0scCWXEIISzY7JGQgWLrwVweyrZSGWgl6Vn5mUxToeXvCyJLoJBsctNiUt5SCmCIPD42jef4bU3XfrP3/X3b3ns27uDAxOt+v8+wL/64ElE92MMzcxmM3j2FaQLKOmDSPPtIQQpucfURcWUtglGiXQBHCVcPnAR8TJZyqQRJYOlYPFiylTwbUPLuSwxxYohClli27vpnLl9ZXMxQj8mCGJqfkSjMSQI+vzZHR6/8ifrOTQ/gx/W2NgSzIQpE6GhGULTVdjXQxvtrLmAkM1fSd1KYOXJQielFwUEShFIkxuY2dfIXG3aZCFrSZT41P0hG6cGrPRbDGLh2q1ZW8H3U+fmU87daXvFZGOQhdQnG4pvv7XHDVfM88sfGvLhL82xlDTphz5NXzLh2Ryc0INAkRdDeFnQx618MpcqRQDIufFXyZVyoC2TlFlwKPewZCt0HpEuMkyzAgtbbGHzjJISuGMNIw1aSo6da3P7Pc++Yrk/2nzsTPeAMc8hxKX/ewBXIuGuw9+xM0jvf/9mdS/rmhHDyHV7pBriLYw826JBOpAX6ZGmYO9SHonJSsqys8Gmu45di8jaSmTsLU1VDuUMrkvMnTqQJwSelSRhMCL0Bxw9l/D7n2/yqW/McvjcNBMNn5kaTIcprdC40HsGbunALfOgUM1p7zCwE2eiOeKT3/Q4cKxOTQkbMcw8KBQoL1Ysq8PjxGPPDvi2G7r84Rdn6TU8JmLbDi2MnN2gNJ4nXW9GSiD3S2izJLJ9neRnv7fP1btO8nu3z3D47CRLSZ2+79FUgoYDeiCNnTjOy6RKJCFF2a6hosnXehROALPKjhpncRuphnKuUSZHsnPsii5GRjB0v2cSwxNP3ce/eNe29//T77nhjVG88j+VKs8L8DQZIVXA8vk7t47a9+z2RueQsoXnJQitECmkLlFHCIPUEikkSktSaUPJqbav7Q3VpWqOIukdRElziwtq7mwSCWFydslkSQZs6zXJ2DvF9xJbueMlhOGIwBvRTSPe97GAD3x+I6cWp9CqzsykYiYwTAaahmPuRh6+ly5PxUkT5zvPwR3Y6OUojjhwMqQXhUyHzouTBZ0yr0T2PU0pJyX2mGh67NoaocIh3ajFIBDUXQ+SwMkr30kUL/N6CHUB41UxN9nnx769z9teeZYPfL7D739iloVBk4FXo+YpGp6grgxhYiybO3vJy5hcFGH8HOCYqmdlHOQVoGetKhiTorjMT4pQvimAnRqXHq1hqAWR+z10Ckqz98gKf/jxZ3efX57Y+pZX3XJ0FMWEgX/Ba3p+Bk9OY8zkXKNW+5ief9j3vAYGg5JWktgvLNEoBzaJlDatUmbANjrv/VewdwHwTJaUwb1alpRWixKw885XObg1Srl2E16Kp1ICP6YWRAR+RHsY8c0nJX92xwSf+MYsw7RFEATMBoKpQNMMDI3Q0AgKcNdCSRhKQidNbGDIeSYcwAPfRj6PnDHc80iDKPYJm2aVgZk9Mo9RlooaxQrf97jthi4f+WqP/SebDGq238vINwQJtnVGpFHK9mm0MkIWzX0opF6qJYmWNEKPDVMD/u139bl8+4gP39Hi4b2TzA+aDFWA73vUPEFdQiidGzVzr0pj4wnjLO7uQy5XSmRkStdRAfmqQxRSxYE7dWnQiYGRFoyM1eMmmxUmATSJnORDt+/33/LqV3/s9LnOtQvL3fm/NoM/cXSL9NMnbmwmn5uc8kbuC2qQBjL2EBotNdI1sZRGomXG2rJItTRFnnHWf7CqubOI2WqKyJjDlp1lQNd5uqeU2rkDUwtwleZyxPNi2r2Ye58W/PEXJ7jj0UmW2i1kvUarrpjyDROBpuEbGoGhHuBY2zJ3PZTUAkUtENQCXIaeduDWhL7V38ob8dxJONWu2cCK07fVwEkBAstsWfadJIo8NkwILtk24KnjCf3Yt20aYggiXKvorH10FqixrtjyIw+dOzdknNr88HfeNuD1L1nma491+eCXJnh47wSL3QZtGdALPAIlCKQglNgaTmnwhMmT1TIXrDXs/2fuw4LNyxNPl5hbG1EA3NWCxka4vjkut98YMKllbwdwkAz6MR/9zJcnL9786huvvmLPF3me5kHPC/ClpVPhSlv9zte+crz5T97WY/cWQ5oopFFWTwuNFm4LP6Hd+w7AFYDLgrFLYC/LkQLgGahLABeFdyY7rCyx3a/sOUXJlCDzZsiY+W7C3Y94fOHeFp+5Z5LznSaiVsNv+Ux4MOnbSp66j5MdUA+EO6RLOXW6OxCEGXtnAPcSgiChFkQYE3PnoyHHztRZNyPwpXb2iCgKfUsoyNJPUycpBiOfHRsEt13f51P3R/Rin0EsqPmGILEsPopNaZVSub8aISsyxR4yL1SwUVOPejjina8a8NobFvn0N7p8/t4Gdz/Z4ny7wUAEDAIPz1d4QuBLgS8lvjBOahkkwkmuwvC8IMhLANeOwFKy+k8L6ryAxQjifAI4xsaxttEW4LiKrVSze9OA11/bbl60+dbfYXTqcmDw1wL40/sf4vz5Hn/25wmbNgT87D/skPRs2ZKUqgpkKdEmzTvEmrxtQ9Y1Fsfc5DcgvyFrjY4oeUxK4JZCu+JhjXAA97yUwIup1WIGo5T9p+DoacVHvzLJFx+e4PxyE/wa3oRPQ0lavqHlaeq+oe5Dzbfgrvm2J6FNM5WlQ7ifGwdynYM88G152qHTmqeOhOD7bpk3pRB9NSyYsVvmSbHeFNvO+apdI67Y2mPfqQaDmqCRCMLYMFI415527J15UzIXZKFVcj+7zjxXynUf8BlGPvX6iB94w4i33LzClx/p8RdfbXD0dI19pxpEKyFJ6DH0PKSSNhKN+zysNleZPCQzoAtnsal8R1EAHCs/tIGUQp7klVjGlEoOHWObUhkiriqml/Cdr1zhra8fsrz01NRQvOsfLHXMH85MrG0cXBDgUf+YiOPeP//KHb+67ke+5zzXXpwSRRI/sNrWxJIklmih0NK1PdYKLS14CxkibJU72fsZW4uSVltblpAzdlEVL4W2rR9kShjaTqpJmnJ2Eb7ydY+DJ+vc/WCdU8t1Dp1uQhiiGh41T9H0DE1PWy+Cbwg92zg+9HEgzg7pDuUAjtPcDtx+Suhb9rYTK+LIPOw92sCXVfdgVbuO+YrzAgJX45j4XLFjwCXr+zx9OKGf+LRiwciDwPUEVCWASylsSkSJyWE88UnkxmxWQxmnPiM/YKIe8X2vG3Hr1R1OLXe486GAwydCvvxog9OLNdKBj5YecaBAuj2ThNuQgCzIVpzXYvKyVMn94zhtbZxYGwexSYv3dQqxgUQjvBSvlvLEIcX7Ph5yrntg6p98X+8nAz/+QGlu/dUAnqzcjjDJd992/dHm3GSfL9xX44OfnOHVLx1x+c6YLdMpF+9KCEyKTiQ4xk61dG0bpJMgMmfsjMXzsqhs3o/pEpH71E3JU+KkiErxw5Q4NRw+IXjqsOIrDzZ4+kjAs0fqdEYhoygEP0BN+IRK0FDQ8DT1kh849LI8jSxt1uaFh06WBIEiCKSbAKbQ3n5qI4u+1fm1IMboiHNLkpEJ8TxJIA1eFigZ0+D50m1wXZ6KGsco8RF4zM1ESDWkF/v0PWE9HXGRMOYpXYlAysxJDZCtkoi8fUaaFwDbz/FTlbef6I8CNk5HbN8Q86KLRgyiAf/wSJunjwZ85YEaTx2pcfh4SJx4mFCRSgXCesmKLybHbyB5ImIlIpT1Lc+AXQZ4WrC4du/FBk+k7N4Zs3km4fKLEm67ZcSzBz3+8o46B44s0Bt8Ht+/sBBZ8yd/8pEv8Wd3LKlzC/eKs+dD7n4s5ODhgJW+4KuP1pj0Ddu3xVy1J+Z1N4x49fURaE0QaGoNA9oNeCpIEydRkEVhq8khXAwKRV2gdBFIXM5FHNktBIWAoyclf35HSD9WPP5sjYMnQhZ6AaM0AC8A5aMmFIEU1BU0lKGmsO3MlEs8Upa1A1/YoEcZ3L4kcLIkDCAMcF4TGzK3XW4TFxGNqdcizi+nfOW+Fu1uyPSk3V4lSxnIcLCK3fJ7KfKo5mikWDereP3NQ7788IDj7SYDX1qZ4oGfGPw481k7H7tMrbuQcq8TmX+GNl7pMyzQg1SReorEV8SpRxz71pXqxzSDmFuvSrjp8hFvfcWQ505IntjrM4gUH/5KgyNnfRCS/sAjjaRL35QYrzSLhVgD4OXkouysEYlBaOM2IdDUGxq/phFoXn19xOtuGHLlnpgdWxMmfcO6KU37JYI33zzkG4+kNGceFC970a3qZ9/1xWT7pW/8qwFcG1DezPv+5IuNaw4e2cAoGdmZFhjmux7zxnBkKeC+pwwfuyNlbibFGM31l8a88zVDl9QOc1Oa666MadZsEk7B1msvaZmXpN0XPPGkx2JHUq9JHtzr87lv1BjGimGsOHM2QAuP2Pho4YPnIUIPT0oCJahJQ80BO1SGUBmbA+45n69XMHeQ1WXm4FauRlPk7B34dvKGfqa7LXsHQYxSEV9/TPGp+1uowLPutor+vjCDZ77wNM08Horh0Octtwz4zDc7fPjOSXpJjabT4X6mw+Ms4mjyaiEhspmUja0saf1yPxLX4sGzTO57isTz8JLUAl2lKGUb6c/UE265LOHmy2KMGPGOV/UZxnbPn89+I+ShvQH1ULDQUTzxdECnL51KGvOLVnyJFtzGQLOmue66iHVTqa0NSA3vfM2A6y6NMRrmplNmpt1qKMCkgnTo0fLhhkvgim1Dlnv9a9Tk9PvArNlofBXAz5zrsnF9c+IX3vvJy5Y6sRrhgU8h+F37A20MI2M419acW7EX/dwxw+fubNnvkRomp1NuvCamVbe1mBeuw3GD4rwOKz3Fw08FdNoS6SlGWjEyyjKT8LB9gT2QCiklvpQWzNIQSk0gLRACBYEqevRZkBdtkn3PFgJkhcdlcFuGd2m1fsbgaelICL0YYyJOLQREoxrhpCRwYW/lsvIqUcysoocivF6A3HblimKf6ZZi27qIQAwZJCGDRFD3bBPMLIckC2gpWU5vlfln2c/I4g+61ARfu6S3UvuHJHVxA2UDZCqxJXCxdbl6MkWqhK3rtFsxNJdvHxKZAdLTtNuCh5/yWOlLlMywXfWKlcEusCqkWTPcdE3E5LS2sttYOekJcnmrXXp1bLJsNYFOBMYoMJJG2FV+/dxlU1u+f8LodkfIapfaVQCv+afod733DHpPvmpl5RyIAIQqlp3ssvMu8kXoKsHQzn4mDZ0VOPN1U1qu1gB4rh9F/twIgc62XEBaQAtpDR1pm9J4QuALx9DShZ0dsPOzKp09V0mvcFvvkYPblnXZLVHCQBB45CmmlsEdi3uawEVHfT8mDGNOLGg+9OUmeAG+FIWBmcuTNXKrS37itGS7ZI11otjnXa8f8Om7Bzx7rkUv9WkkdlNamwVoikoclcUESsZeNqa5c0KWEryyQ+e5MJ6n8FMLZt8BXckiaKZUinSb8UqhnT2U4gmNMJq5hubNL9O2+ZJwmMiiQKKUrFIms+w9LTGJyu2xNLHJVYUjIlM5rmMZhmy7GymB9AyPPvPsq9b3T77HmHjV7larAB73/gzjiWBd4xkCIegTujowBSZjoWKTo+oyVHYS2UfqXYi5S8tYnskjV52F2zXM5khYUPvC5FLAk/a1bS6ZFdWWEok8Sn1QMtYuquoLgMtctoSByUvagkCXGuck+I69Ay9GyohjZwXznRrC8wglFXkiRWn+UkjSsnSoAM95OqLEZ3ZixI6NA/adHTFIPYYphKnATw1+4nR4kiWZ6ZL8VaXZJHIJbF22ppQLkkkjjZdqUiXwPPv5nosKW7lSjjW4hkH5Z+rieaQrcYr801e1o6imhhY2aMldbEqOx5IzotJrUlg7RJNy16NHeOYLnwmkqNYkrAnwX/vQAkrBn3+pyXLsNq3JrOSciszabMwF3qt4ScbLRHCVOS465p5nAPEE+M73aoMOVpN5WbStdFZjIM9aRHjKZs+VC44tuKU9BxnQM+PTgTur/vF0LlF8z+rTIIhJiPn8N+ucm6/jTyqCTJpIU/WgjH3rnFlL+rgc9BmObAfbN720xzefHNJJavQ9j3qiidwKlSVEVaKMQlNUDpXiDJVkJ+VyhMjTlz0tSJTAS13XXXckUlUBrhx7Z14tB/A8spyDu0ipyGPTOehXI6bsP6941Sq/V/a2ZTJHUvdC3nnrMt949lGUMPzZ8wH8zz5+BzMTtZf91w/ee8PphVOIUI+FztcOXYnsKscwvVakS5TOeVZgKWggoQgRiyJhSbn3PNdjpKjYycBO3gqhDOy8D4rC1iOuBfDM4Mx0t5fJEuP0djWXPPBjAj/ibFvz6ME6eAGekydZeD5ncKosnt2schF1waoy94nHsc/1F4+YnRrQXm7QTxQNBX5iv4tKjT3iMsBt6kT+UZlrttytShvH5gKtNKkW+FqQKkmqLJMnSjpXpC5pfZ0btVKWmFuaHNg5wDMmz5OzSmdWA0JguDD818BbLoFsZ4KZZsCbb153Q1L/9pcd3f9d9+687PVrA/xsO2Z5yJuNSa9L05jQ822aYgmUUox/2BqcLMZ/XjgEy4yWAVoIUFSBIR2oi+eZ54Dcx6wc2L28RK0Adv48r14pgJ0V31r2dprbI9fbmUvQMnYBbj/PTowRxNz+jZBvPt1Chh6BFLb/dp5BWKSbFhN9PJq5Vms026F1MPS5+coB33Zrl9+/vUWUhvRSSS21Owrnk1qUZIqUjsXLH3UhJgftyaLhkgN3qiRKacvorlgly/VRuftT52Vz0qUkCGEQUpPtFF0wODnYczOrDGdRBfGF5Qz5v1X9DUkSp4ggua4Vzr/ZmPje8s9zgD974BRz083X//c/+dr3PnZkCaRyereczVd16ZfZmBJwy0Rf2PTF5CgzdwZ6KUwO9gzQWVpsGdTlfGWlyNncyyroM/Yugd1z1TDZPpsZuG07hTHmdjWbgStv872s4CApHTERMX9x5wSpCVF59LJsYBZ1jZlno6LBMxbPG+U4j0GaGZseAp93vrrPn35+xIqOGaQ1BqnAT8hZXEqDTEQuG6y7cDz3SJZck6XEJy1IPVcjqRzIPYPSAi+1jK5Sg5LSgVois5ZvspAlmUypMjkFm5fSbHOgV5iY1Vp97HVV1xfYMmA37xXH8cXi9zY2vO2uUe/Yl8PmjirAB6OITt+7eHmlt3txuctUI8hZtczcsnShFZCXPlSMA7z8N2KMySvLeVbAwCo2tw2EyiAvH66/hwN2BnKlxprdOGDbjWRFqT+KZW7fzwqTjWPuwsD0Suwd+hGPHpQcOF3DKB8lJYHUeGOrjiwtV+NeFCoavCiAyII+aWp3Sti9OeaKi3rc/1ydWAUMEkFNgp8avEQ46eaqcBKnw5EINNWPFCUWFyVplNVIFg2ZPKVJlQW6EsbJFGknU1pu3CkLcJekSgbuskwpJ8wVBFgCfomZRVmv59KmNDHGwC6lII07pGlnN3pwMSb68ioGP3R6icn2gMV2H4Uz5DImpbhAuQaQRfmCy4Ausfqq98oZaWOaNVvWcxYvJ+FnoM57n5CDW6kSk5fatHlKVgBebv5jq+3JgZ1HK3PmTgk8G9ixVUExhpiP39lgcbGOCD3rdy+tLKtyUPI7R8VFmLXIKOdx575prYhjj3Uzku+8rcujBycYpTX6KqCeWi2e2SpK4sCdrRXa+cSzxFzL4ozp8byjQakQOGumqbTBcyuE0tnqZFxxclFkUi46WStXPwN8bnjmQK3KmAqwK7o9+92S3Fn198bZZm1Mehp0P/83c4D/6u9+DqUkZ+bbTNU8l09hKoArnlfTJcclStEdaXVa5bguzQFekiprsnheCFt0Y5Jj7F3uIGtZXKK8KsADzzUA8rOtA12E0zP4eSheu+dp5fCUrdx59hh87I4WIxmgpHIuy2pPlvEI5oXMp5zFywUhjsGT1CNMPb7zdUP++It9njxcJ1Y+fSkJUu28RwKZlsfMIKTIb7x9aPdZ1X2LKlU2Grw8OcvY9h7SuuJUavJmneW2yzL35Ogc4GVQj0sVuQbAq8AenwRlDGUyd2yVIOvDUmd5/gAry3/qkrVKAH9q/zGuunR740f/7ft2tecXiPxMY2XeDbMKiGVwZnIFwZrMXnaXVX5nTHdnN6nyWpQ6VZUAlLO4GgO4qvYhVBmDuyBPBdxZ+N7PCpO17RmSl4hlNZ2JO2KUH3HglEc3CkDZ9AC/rL9F9fvmIC8hvNrQaMwXrstN5q0Wb/qCy7YMefJARKpDBjqgltqcbc9pcCVsjz8bWMr0qy0QKIOcUgJc1n7Nyxub2veUY3Q7nrauVuYsLirbrBc57xmbZ6tuFeSsIVXKr8tkWCHGioFqW2VX6gIECON67cSS+uSmXTuv+TcNE/2zvggutgB/5tBZjp9rv25q3exPL3WeJfSEa0vgAC7LN8xUjMNxAK8J5MrFrtbfq5v3WOOs2hgykynlppqu7VgO8KLaJWPt8i7GvsJ6VRy4LYCLpkB+WZ6U2Vu5us4gYqmr+c2/bLE4qCFCm/sdZH743EYQ1Ul9gUde8eJa3pmKBrcelSTxmGh4/MTbu3zt0QkWRwGR9BhISeBqKDPvUlF1I0qg0GRptAbtwK0xyDHPinAMbkGstTPitRtjZXKv1WqAm2L1KIF8nNHLgC2/rkiWtRg91/MF/nC1ATpfJQVK9piamvhpM3zw3jQZfDpn8Pse2UetFrD/4AnQidtCupAnRYHvGKDLsqXMVqwNZrHG30tAVFi71LKgLFNk0W+wKlUyFh8HuHVzeU6SeDnAM82tc6PS93QObt/VchYV+RbcvooJgoiP3unzzKE6SB8pJaEskoGy3STyPeLdl71gNmGJzcvdvTKZkmhbcpYkPlft7vPtt3b44y/W0F7IQAaEUuRBHyUFcXbzWc3koszkWTbnWG2sVqCMXRW0ERbcmQtWQ1runyIzzw0lLe6YXFblSRnwFaOz8r5j7srvjE8IK410xubZ5znc6DSmvXyCVAfoNCokytbpgEY95NyER8O3gj33aIzJhaqGNmsDdy2ZIsu/I/K/L7NdWZ6UWVwJbFuxjLmfF+CyAHge6MkAbmyfbCdFfFV4S/xSc6BCc1v29j3btWq5rfns11sstEOoOe+JKAywC0kUxgsCTAnk4267zGWY7YmT2u35picUf+9VfT7zzSGLvZBIeQxS6dyTwnlvihsuZWH4Z8DOqqgwdlv1TJNnVVZe5llR7rl0ryWkDujarVBpZnA6zZ+zucgKU7JuvxcAuDRrrOxlPBn3O2IM3FWwmzySKkgSn25/ktSbReuRBfidDx9g04bpnZ/+0sM/+cj+c3jKqzKRLBjaDppZJSvGDVFKE8Gyuaj8vPg7UTLIit8pWhWI4hoqzF3t/V2ucLHN3amCO9vZIGNuVWLuVQyetZsoWk54ykYujxwVPHeshiZESC8vzi2yB6uTs/BqZEiv5qIUTF4UZFe2BcnKzVIPjMeeHRG7Nw1Z3FfHpIFl8dT5/EW1n4kQZXC4TzZWk+fmp3Fsbgo/uZZFh9+id6HT5dKyuCx5U1KRgbs4i1JTIqkLdi8zttSF3Zbr9IoMEQhdZfJytFYKgZYGacpGr8Izh5id2v2TUxte/njUffKoh06Jh6ONRqevP3F6kQ2TQe5zzow6Icya0bm1QEsmO8Tqzq/jbC7HgZ0Bo6K97WurvR3IS4C2DI5rBVz2g5cPt6W1KoO7BHK3X72vHGs79lbutefFKBXz+ftbHFioQ1DIE78yTqsn/fOJ8GoLYlFIhvLuZlkabeRx0bqIN93c56FnG6B9ktRqcT91TT7TqlTKmK3o8525DaVr0CMKYzN7Lt1z19tJy+wQlsW1yVdPPe450tkKkpFR9rxQA4hxwD+PbKno+PK/IzDCIIxlcGOsZewpSRrNo41+fRzHG9PUHPVCl8TUVIaWXyy1WQMYuYZvt8zguVelfMEXMEJl+ffKRqaL+uX98ET5ddbMvszeLrtQOZDnEmUM3C6bMM8wHAe2VzQIylu8edqBPLHyRMXUGxH371d8+utNBsMAGh6eFPiiKk3GDcyyob0a3Wvo7zGXYdkvHiceky2Pt75yyBe/2efB/QGm6TNIQxtxznN2xCqQFOAuQJ7HCQ2uQ7CbYMqyeSqtHs8AnuYsbu9FmntUQGoq9y+3n/RqJ0IZqKKkn7MVpyJnpEFitXbW7zKPbguBdBskGGknrQCGaUAU+W67HIU3jBIGw4Q4sXV+fh48qUYOKwDPtfIaLL0Wa5d+r8L6WUuFEjCqrD4GbDcZcvZWwvUBL8CdnX3P5NsGel7RQtnzsoy5KtD9nK3toZznJAgi4ijli/c1ePZ4A3wfIRWBIN9cqizphBwbCzKZVjzPDUyXZmRztku+cCPybgS65C6MIo/Ltye84aU9njhaZ5QEpNJnoBVByti1ZL5wxhjcnrM01aI7cDbZNFoJVNavRgqMsnUumc88MzJ1ToCi8KJoUZGZ2T3LeqqsZYtlDC1KDC3yf6vU4MkUTC6lQRqQRqBKdZ+eEEACJsKYCO/9H/wcvqdYXO7Qqqu8R10eTCmDO39dZetKIEgWRtVq4IsKCCoG5jjASwW1GZML9zpvelNm7QrAi86pObAd0G2PP5MztZefi+e+My49FRMGEU8fE3z5mw36gwCaPlKIimtQXWClywzM4lE8L0oVxVg/v7GATykBK4p9Wq2IN9wy4jN3D3nicAhewEhLhqkjJ223ixn3euFARLo6QTVbTTxFIV2kZfNsVZGOyZW0YM+AnvnAs9UrJz9tGLer7PsXkK35fTdjmCrYO9fz0rJ3BnprQxiMAi1qnD3xMAvn9mNMitdrzyOFIBklNMOxG1UJkZdkw1rgHvP9VpektZYpe/FUpEhZrojKe9ZiH/eBkydYZauOlyVcSQvorEf4KnC7wy/lP1v3YGIPV7WTmJTb761zz9N1qNkyuSCTJ6JqXGaMnR9loK96lNi7VMaWdVDIPCqplhWgj4Y+r7iqz5te1ueZYzWSxMcIxUB4+CnFNaUlJkzLHpXVTF58vkEp5zKUls3ta4HUwurwsr/fWMAqKRA6u48ml5kVSTsuVyp2WOnQBckVLkYH7mwyaVPgIJMpJttmUjBcikC0AYMX+narEa1FVZKUGdy55sp+6ecDb1mOIIqkowprZ1+uBGiRTyRRYgTH4qoU0SxHM3PmLsCd7ergjYNbmRzQfgnUmefEekzsWamYwI95/KjkY3e2gACkjxDKlsRlrkFhqjeyNNkzWGX5hAWwKHJSKDN3SYMbgU5t6Z7tQqvy8L0xHu989YCv3Dfk4UO2k0CsFf1U5PlDUoBIHWuX8rDLa0iW0YhiDOigDG4CWmArKVEld6ZSTmPLgs2FsLrdsrSpMHeBlcxDUl31K4pgTMrk6sGUItvGsbcGqVyVpLbps0ZIEB6g8ToDOzNit2GyEhRbgOSMWTWiVjO4WA3yVQamqP5s7L1Cq5UALkVl6auE6vNrdAW4FZBb5vZlVXNXWDs/Z4GdQoMrleD7CXGacNeDdZ46WLeVTdIal0HezqxkXOXXv7YGH5cnpvQkT50t5YhUsgtTiVbOo5J6jCKfK3cPecWNlsUHqWXxkQgYarubXe55SE2+zNvLKCaZKVVbjQPcGAs056DASKvNpbFkp42LQWTgLoO9PBa6cAOO16jKzHuixRhBkE+AfGx18fdSGjuRjMZIgcQyuJXWds8l37Nj6kVaIlyNHm42eaUkphzgGYuLYvCquqnU5Sh3T4l8OcpdhxcAeaaxc3mSs3j5GsbZ21QZXGadnygxeAncqgB3rrtdr7+KPFE2a/DAGcEHv9hiFPvQ8J08IS9NU6K0S3CuuSnYu6xX1vKilIBeaVRZ3lXYrKXFPZqh5Pvf0Of2e5rsP2UnX6oV/VTZLMNU5P0EEQaROiZPx1aSDOolgzPbWEoZa2AaYZDGgltKq8+Fk1NSCkTGrHo125YJrKq/CwxVSaFkeMqqEWonk0HqzB6QaEdqGLeCCLtKB35qv8P73/ffN9RC77/uP3BsjyeN2w23VCggi3zqrH905nMuupxafVzesct6OVyOiBBIt+tadhRRR+m8IbJ4r+wVKXlGcn1dqrnMDcqKIemYO38va4Zvctdg7j3x0lJBQ+zOEamM+OPPNfjTL09BGIKqoZRHQxnqyrh2FOQFzn6pNK6IpJYDUeUxo2KgZt9PliKi2aS1zQSyHOys+NcgjGbbxohTC5JHngpIXGG4dkXHXhk4lCbd+KoyXi+bzzqRe1bGZ6YZm6Bl5td5Oi5j9kW1hbJxjVjz7sK4uFPJ2K5kPWInO5XPEJQ3ShCiSBuY2XDTxnVbb/uq98gzx6fOznfeGEcjGk3PFQgUxQOFTCh5NyqayhmKOD09ZmCKEqNlQZuCuasSJZ/9lRyUchKTqcgT6Vg7SwTKt+NQ5XPG3KZqTHrpmmelYnwv5rnTko98rYHtv2LZ22rvApxSlGRTNgbZeczQzF+YC4BDV3NDyhsFmCyqaSQ6VaTKafHU47tu6/OpuxrsPemDjDBCMkp9+jiDLBvjNEtgKntQilrIzMgcNz5VCaiyfIjMyDS5DZf5xLNw/poGphurlCrD578DRSSUAnOZ1NFOFolSGoF2XhSbg6OQYojRy29MhwenPB2PEDq21eRZSqkrFMiTalaBuuzDLAc2ROXCxNhEqCxDY0GRqt/UgUcWPyuSfMgjrbJkUJa3DFQleZKD3TG3yiRK1vfDGZWeTKz2VgmpSvjcvU32Hii0txAyb1lRSJPiWsu6m8rrcdasVhqWC5CLPiblRvFF5bvWsuQft1Ll8otHvOVlPQ59JCRKFQhFKhRDIfGdTBG5oVt67jS5yYEucr1kTOadEIVUMSYHtzJWthgjbMKTceAzoqKXpcAlRpVwU5Ipa6V8rKnJtakQbPYzLW2CmM5crWgQCmMUg6FGegneZF0wqAuaoe2wmlWhqzLAVxlQJfYm85asDe7VmrvwtMgSgMtfqEiwKtyWhT1gCsNSuoT8vNOTq+yogLswKDOtrfK+Hy7AI1O7KapK8f2Yw2cUv/3JCYbSt+wtvFLVfGbclpKLSjcpiwE8b55syZADciAVy3GhxQsN7vqmKInSilR7JKlPmCb8+Nt6/OVdDQ6d9kAmIFJiIRgIu416fp1ZGm0+5Uz1gkpMXrB3AW5VmoC5m1BmwLaeDe3sJ61NvmKXgb6WD7wSIKN0lgWeCk+Vyckxi64qWVQiaWOI8egNAvBCvIwVbfsyu4e5V2buNfzTghKgS4ZB1YOStfQd95is7UeXogr4sk/VArzE4GWtKgsPSg5yZ1jmO605ts60eGFQFjtCeMpq706k+f3PTHDqfGjlifAQUhauwZJlnz+HNW9cUW78PwF6Dvhy4YEouQ6zxj1ylcGZJB5b50b8yLd3+eUPBrRj2+rYGMlIK+s2TDO3pXMb5kUIhRwpLN+SJsbg7Ddkmc0zUBuTe1GMsN9BCFyGn0A741SvaVAWeNBUmT0fP73WZCg5LqQpShc1boNhWyua7ajt4Zg067CaGUZSjTO3GGNnO0AXcg0ixNo3/gIgr+QwlKrpqwxuxgBuxpi8kCj5TmuyFMgZ79ikEpS0h6divDDmE7eHvP/jE4y07+SJQglJIFhdVLxGWL6Y3KU3LwBxU8YV1YhmkUpbzTSspNJKRSo9al7Cj72jx3PHAj7wOavFQZEiGAqJJ4wN/CCel8kLUIviAjOpkkkSY1DGgdqAEW5SOk0uROEfFzlzZ/fbrGZyVuMnd0BVwvpjjD9mEyoFibT7/fjSFnMIA17WAKfhdhHLEphy1x0lcMvMWi2S+FfJkgux2V8B4HnWYsmglGXNvRbAS8wtM9aWTnNnG1N5xQZV5SzB4myjlkvL8Jdfa7A8cuAWFuB5ezhRuCcvFNxZE8+l12U/c9k9aL0Dpep3nZWUSbf9oh4Dt5UqWnskqcdkkPK21/T51L0NFrsKZAxGEmuffr7ElwI/FWOzaL2DKYXrc+PSJlYVkVer0XVGQg7w2hmfRtjnmTtQiiqL23Ey1XETVSxRZvAM9ONYyiaBwJbtSfASiKRkGElqicBrNRTR0GNywqMWeoVhVDGaRH5B5K+rzMUagC5SZ58P4KbChirTWGWQiyqoVwFdGQfmkv4u6WxPpqXoZcHenkrcOcZvJNz+9RoPPlVHS5+8e21mXJailsWxuihkbalyIRJ3EqGcMptva14uDqbiXUmNROVyxXpUPJ1w01UR3/aSPh/6fAAqwoZSJJHwGLgVVY61+ygmnnBsXTU8Cy1umdvIYqWRjr1NGdySCpuXWbxIky3HTcqTjlX4y1RCNlpFg9ESwY7hzhhodwXSF3jTExISyeykbUVcTsav3gpR/KP5p40BHKozjpIRmX+ZNfS3LIElY0dZBFJy92AO7tKW3W5XYyXXBrcquQZltsWg09+eTFHSNn4/dFzywdtbnO0Gdr9r6YGwGjbfsSG75vIyWRnkQnOLYuAu+MjHeiyCaMZ8wNlhyjIlY/FUoqUta9vQTPmBb+tx71Mhh85JCGLQCi0kI2H32ilyZsZZvCpXMFhPirTgL7S4HXcbwi8y+mx1jW2rnedr5+xschdyweRZbWWVPIv89TUAXrpeIcYG0k1JA0SjlMV2Ap7Gm2xqTGyYmbD7iCdpeVPWC4GdVWAvkfsYoxelSeMsVw3hmjU0eNbBqrQDbwXgVYmi1gR30SFVydTpbgtsqWwTzVGq+d2PTnDPo3Vb21Y2LkXW/LNwURY5FatdhIU3pXoTxlnzgsESqh6V8s50RRqtLhmcCplqEumhEo9XvCjiR9/Z4Rd+N2CUSBuB0pJE+AywQbdihV0js7C8qoDbrj1zHVqGNsYFoVxhhDHGyRLhPCZjVV9OxhTjkxmhbu2oyDtTuFazn+cvzNhVZvjMxst26er1Yzq9lKCW4AWe7cXXrGkSY0hSbLf9MWOnfFOyTyizVHFxF5YshQ5cDfJVxmWpoDXborvM4jJrdCkL3S3XAHcWild5nokuvCcywQ8S7nzY51P3NBiNfKh7Vns79g5z1+AaZXz5d6oGuMqAFiUGGqfvItySSQSq4NalqJ4u54rbLEOpFcpku0lbj0q9kfC2Vwy4454BX3lYgYrdzZAkePQrEjKDSRU8BttUqLzKKJm5Dh2osffIgHMNWnY3bjxMOYUh96Rkq5/zw4+TwpqgLrC1atwc+9o8deNchYb+UDOKDXECnnH/TuBrPCzAk7S6/XLeCRWqk521QD7G5mMsvhbQZUmKlBk9Z8wx5s5Av4q5s+elFFgL5LQ4u4COkrZL7ErPcPu9DfafqdkOnE57Z+yd7xEpShNQUC1sEOWbVAb08+iT/CaR+9hWhbcrBme1SWdmdKZaIoUiTVOk9IhHHpdujPm2W3s8uDegHbnwq44wCGKhGDqpslb6LFjNjTMqFZDvUCiclyUvhsi0t2NwKfJxyjS5lSYlgxJKhcPVFb8Ac/bSVH9YkhPlsdLGuM5gduucODF5boonsCwZ+BojtE3SSYVl8ZxBStZ+xjQXBLkplmiqX0Dm3YkKxr6QVCn6bhQGZfHarOp6mrf5zcFeNG33PKe3nb9bSZt7okn5k8/Xef8nmxjhtkVx7K2g5BqsFn+sKU8qDFQC+QXYu3yuyJR860VTimiOpdHmUU2d71GaGoXSmjj1kUrzY2/tc/C0z/s/5REnLr9ASLS2rkOhXbCNstvweTR5MQ8x0rjUWZEblkbYf8uIgtG1AGGKKOQ40eXGZEWDF59dYNvkUmQc3MYYu9emhjQ1JBqipMCsVw9jTBLTqCekWhEnNtkpkUXPutyiz5YFU71Pa89AUwF3ztaYUj5KqYypzJISl1hUYvAS6HNQ57LEVLW3HGNuoQtwZ/kmQczBs5JP3dWk1wusNJHZfpBFYKfoVb5G3+8S25Qnc7aw5t//Ahg3Yy8M5UNQLkS2zYEcm8siwlk+0lQipe1p2GomvPWVfb74jToHz7gImRaAQgvBCNuisxCfBZNnxtq4TaCygA5VQJtcixf31eTsjZMtY25BoNLNqkwOFfYuE4HJSTxP3tImbz2XaEOSQH9k6A01vaHGm5k2BErTrieMIr8UGrW9o1MtVi+daxie+bwT1ediDOzCuQGtFlvDyBSFBBEXkCg5sMcBLqvgtmAvopWZRPFUwijW3PFAk689Vi+kiWNvKRx7y7JhWTS9qfrwqxFbys//Cg9TAnYO9PKhsaVYZaOzEvxxMkW7TXlTjRaKZOTxmusiXnNTnxNf8Bhp6yRExKAhwbNSpYKiMbliSjfSgUtKa3iWga6FyQuUi7A8robS/g6ZLBJmbFVfzdZlwhzPJiinEuR9FU3B3nFi6I9gkAaMTA1vdt3mlTQefNH3gr+fpqnLlJRIoZHadjcq/LJUZtAafoEKyKteBVMBddUHXn5PV7S3EGXDUhcSRWqXRajHPChFronKfd5pHrFUKkEGCXc/HPArfzRJqj27v4lwDC7WDsuPV4JX3IRrfOdiMP4qKB9j8Dx5qJAk1v9crbiXUldyxrV0YDe2WVAQaH7mB7vsP+lz90MKHThtmBmdRjF0KBWGvF7TZMlXTnMb5xZUsgCXlFarZ6C2OeM2spn7vzPAU7B6vrK5cdGOACtOi9IYlsm06krNvCZF89A4NUQxhGFAa3Lii9t37VxRb3/9bK/fmz8kBT9qAS6rDFySE1W/tWPeVcUIRTX+qgSp0muZGW+q1Fuv4vLL8qJL78kiiarC2rlESccYvJAlngvoeF7CySXBr3xwknsfa7o6ywCULUlTyvbfrknczm2up4qsHqt7k2f5O9VmRMqVe1V7uRRjWK5SyqqXyl6jnADG3afZ2OdEYfJEpHzFNIZ1swmhp3nwSZ+VQSkF0k1N7RoB5d4eQx5JzGZoJjMK5BXC5sLzVVR9/GOrVe4mzaVvVSGMk2q5l3lZlqTGyZPUelGixKCCOmfPzv/AY489vd+rhTFCQIRm4KRB1uErFS6/t5SHIHMGd8vWBciq4gaiYPGC+Uq9L0psXm6mXm7qWEiSMXmSAzxdrb2z7e9cxFKphDRI+eBnJvn0nU1MLWNu6/fGRS2z3RqqUUvyfYTWTD/I/7fGY4ydyjKvcHlZFBV795Se5zq47As3uR43ZfbWklQopNakUiEHire9asizh3u85w98ojCpaCmDIMqFivuSWeW9KPLFVaa3sZPSuKQrm49SGJq6ZIhn8mStJlA5ga7B3heaNOXUBp0D31Bt5A9pDLF2JWv9oY8QgiRO0Dqyw+l0lnD6Sji3kCxrcLeErprK2UUz/kWADMxUXYSVDkYVw7K6XUaWbyLFGMDHD6e9pUwr8kSqlK89FPJHn28yTD0bsRQ2Yomwm5gGWc5JZdUqfPU5NGRhDo0Hd6rG5lrTv/p+JkfKft0yyDOJkideZaH7rNWbEFaDZyCXNl9ca49U2B3ifvDNPe57IuQrj9l9SMvGgtGCqDCNC5DLIkfFShRTGJgCFMKCWxRAFzIDdYYfR1qUiKBsr2Sn5zPIS7K4WAlMhdnzwJTENlX1NVobvOV2kH9JdGqXUmyPCZH1tnDumKxkyIx96PhtFG7mV8P2Yx1Dy+CmYPLyVhgFg5d3+CpthiTG3IIVY7I4pExRXkJ/JPilP5zk8KkQ49vigHH29mWxy9vqfoNr9EkX1e9euU2r7tjqW2jGnpeTrypMPhZ4u5DBqYXzqAiJSJX1kUeKizYn/D8/tMJ9PxXQHTp9Y+KccrVRRFpUmVwXJGaEfW595E6XaztGeaAn1+FU4wRuUmSeE1kaN1FC+VoAL8decgMTSjq8ADjYnTsmaoYwsFFNb5BusgmSpk3AaRvBKgFUOjFvTNYqS5RAbfIoZ+U2ClN6Tg7icaDnAM/1ZQbs0uuyJBHVXb7Kvm41Dm6V5gEd34tJUvitT7R4bF8NI7OtwDN5Ytm7kjE4Lk/KhuX4UZrYohK9GMe0qbxR1qgVQ3Pck1IG8jiwM8liDMYUIXzL4pJUe3ZMteH6PTE/8R0dfv2jk0RpdtUyvyYtFSNduvAc5GCksM8FDuim8H87KWJc+D0Deh6hpsTqJjMsSxLlfwngq2VK7vwQ1nW5ffMkG+YmiaME75ZbX4cXtFg88wTH9x/G83z7D+lsAK1EyfOCyc7ZDVltaowvORWAj7P3Gs9zFh/znMgc5G5TUlGSJKpga1lmcJWg6ilfuT/kAx9v0R74JWniAarQ3qLUOKeUKpAb11wI2KuJu1jwL9A6eey9aqRYVNmKsZuqXc/AzMMibOlYqiVCGFJhtbhwbK6FIk0UEzXND7+jyyPPBNxxv4JGjkz3jwsH8uKbGAm+zkDoZIq2YFYu6JNrcDddbCmbu6+mrMvHPE5/BYlSXc3se7p0NmMMPholXPeiF/OKm69hud3Fq9ckKpA0m5qJ5pAUSZo6zadtewCZ6Zz8QwrmNlVSykOkZTYvDIy1trGoAnt8x65Ci49vRFrW3Rm4i4Qq6bS39BP2HfH47Y9NcHDRdxE95ahFgesUUPQ6MWuydhncue92HOyiBGZxYYNz/AZWZMoYc2eDXmVta2AaUWhzkQWDpGX0tMTiWki0VKSxZvdMwj/5zi5Hz3ocOCUwXml2Op+eloqRwfbKL7sLM/YWpgC024lNm5J3TRRAz+53hbUrDF6My/8M4JXxobznZ7aJF7QHwtamKh8jfLwwiFBeQrM2YKLZpzcMkdgaQCGklSi5oen8pE6TWzN5lY1JxWFPCdiMgdwtUWVgZ77wjLULkJeZu2xgpiXAl2SKiPHDhLNtwS/9wQSfurOB8Ys0WFtr6aKWopQx6Ja5jMWFu+9ZgCJ3sFWUyFg1yvjNGmP4ijRZdeNKhh2lKLLJysQs41b93640zNjgnAWUIk3t81QbRGo3afWk5m2vGtAeSX761xTnVgSEzhrMZImxW36PRLagiNy4NNjKdk9bXa4ErvkONr1AFIwtnSQpb3iwygh/HpCvJU9y5oa8KCQDd6oFiwNojwxRahgmBk9KifSDs8Z4XzZy0+uhj3IZNsJoy+LKBgKMdpIk70VhGDcy3XiUwF4FtyUKMwb0LFU28+fqNdk7B3IO8BJryxQpk/zseSkRms99s8lXH2pg8kBOSZ4IhXLgHmfvamJY9b0yiNc2NNdm6zUf4xSeMVYpqqmNzbk2ulRcMB7Gd0ye9RDUWjivikJg0NLuRpYmCuVpXveSIW95WZ8//YIkSoRNujHC7VVlga5RRG4fK/sZbuVw+lsJ+17W8EcJkafKGlygh/L4CbfCmzUBvlb0t8LgOXMXdaNZJFMbiFPN7q2z+J76chCGZ4UaIL3GdRzbf9fRdlf9pgy2I0WU69oMUFIYl89RzQNRspy1N5YLUi5EkLryN0UlTvZeNdRezfVe7QbM3H9y3FOSgVslJCLlM3fVec8fTnBywbfRSln2nEiEA3e1kWYpJ4bVQB5fYnOCFmMTe82btoY+KbHThQzLYh6U81NWJ2JZRpOV9hJFW2YLdq1txuG22ZSf/kcdvv2VfXwSlyOdgEnsWSdgUrSBkYahgUgLYgOxESRakBhbA5nmuSClDWVNed9N+7NEF0yb5s1Fy8+rv5v/e6b6+xXWzgI9WjAYJVyxeyMh0W9+6jNfP3rbjZfZouPJ5gJChfjpMmY4Ik4DJ0Hc7DU6D80X57XMy/KNNRV/eHmv8vHtnldtA11ichvFK1hbiLKfWyNFVqlTAniQcmJe8YFPNtl/KISmA3YpHI+Qa7K3WoPBZWUVcq6tkqG0VqrsuCMlh+mY12mtMcz7hmev13AVZnKl7CZMhbOZylmHUiKMQhuNcEEgYTRJpNmzO+YH397loacDjp4vXbCTKdkuhMYxuZE4o7bQ4/a5KGozc4IQuXdFmDX2ciqxdxZBXcPRWk28HIt2GpOxt51w7Uhwtj3k3FKH/jAG3CZUXvMlCNnETzRB5zmSoeuYL10S+5gLq5AmhaE5vryUt2NetVXcmhKlpMXz90rSJJcqNmIphQV31XtiS9GWOpL3/ukEdz1Wg7osmHuMvT3H3uV8k3IlkRy7IeVzudh4FT//FaTJGqrEgVUXN7LsAstBLsYA76SJS+fLX2uJFrZY2VbPKDf+Ci00qTCIvuFV1434Z+/q8J//cJLlvvtSuZAmPxsUsS65A2WmuUWeh5LJlCz4U3hPhHMbZikEhcuwvMqtGr/yCof9/bJHqRz6T7XBSMU1V+zkza+6lpXOgP+eAdyo3bSmNt7xoU/d+SvTauNPX7Fl6ExEk8/C3CVY6gWXoT53pKzSoiXWxlTPOchXA7x4rR2j68LIzGVTFdxZItVQGn73ky3+4OMtuqnbs7sSjle59s7cgtJl4JQlyZo+b8aeU9ygIrdZ/JWBXvYMFDezVOHO+I2sArvaMChjdQoPi5MmUtqghxAKaYzV5cKQJpqWH/Oj7+hybknyGx+aZFDa+TvfR1YbB3JJkqXGOrBrCR62ZlO6K8+Kk4Ujwjxkb7IxKgx4B7OqHb4GwCssnj8XeeqALzRveLHkRbtO/8rLbvwHdxw9dib/GkxOb+K33/eeftKNj5h0ht7Qtz9cI2ReBFnG3y8VI4ynsZZC61JWXX5l3S1lybedAbmcHegYXMrVzC1lgvEMzx4M+PM7GnQS1xFTlNlbVrS3txZ7i1LLuLI8yQ3MUmpn2cDMZNj/4mM8Wy6/qWVDk7U2qxpLn81yxfPqn7EtwktbohijbCjfeCSJR8szfM9r+1x+yQiZpmBS0KnV4yZxrxPQGmNsWupQw8gIq8s1xE4HJ06nZ/q5rNGzwgSrn7OfZZ0CIDFUtbupHvmmAFnZXmmFa4aGiaDJ/Jn4yK/+6rv7u3ZuhozBAd7+1jegVJ2l01+lt3gUT/klOi5JEpEx+So5WUy+XGOt5So0bv/DqkwpPCsZ2DNvSom5hbZ6PNPbojiUr3nycMBP/Mo0Tx3IQvFlze1Ajsi1txKsEZIvLPwyW69KslrF4KUByJKL/leAPsbY+fPM7nE/yMAu15ApZV2ujURqgxHSJcmZHOR2nCVCSwQKERmuuSTmfT+9wo/+F8FTBwX4FB4VAXmWneNqjSTSVsEYadM7PHeZyq00wo1ttg1tpsWzKKeDiNPgq/X3hcZnnBhSA/1eyvSGS3jla15BpzcE/l0V4K2JJko1SXsjvGiZVE+TJCofYHtBVuOJ57uSVcDODMxq1LIA/ZjursiSwv+dn3Nw60J3+yldI/mdTzZ4/JmQ1Btj7lJCVaa9y5U6uWE5Xmc5BvJVelxUh6HQ4+NGyfNDvdyTJH+vrLsps7cpjNCSTLF/k+15aRO0tJAWVNlzjD1rbQEulPu5RqWa668Y8eNv7fEzv+7RTbAskMsUsghX/tBIIiwr+06Laze+UrhWE65kzUp5USRgmcJwXxUcvAC4K2OTXYOBKJUs9VMIBBvWTxLUclgXAD9xvonyJg/On507NKlndte8BOFaWWUFqpkuHw9SVLBdusIiFdJUGVzYSSArANclL8paIE8LiSLSCrj7WvCBTzX52FcbjFSZsUvM7dBbDcmvLmqo+r1N5TuNN50pvCZjzWlKt0g8H7ZLtLSawYtOUmWZIktpExnhZJFM4WSJMBbYBaNLl3IhXQJdBmzb8URgEKkhFCnf+Zo+e495fOCTTXqxY/Jsqdb2vlk2V/kYpAg0kCIs8RvjkrDcLiFQ1GbiGJxSJRSZwWny16uGqWSjjP8wSlJ2bW5yw+X1Q1s2BQfXT0X5j/Pqhisu2cp67wtfvuqiiQ83mtsYjhy489C4GWPSDHzl3G1dOdbU2KU012o0cvzv0+JnJb0tRIooBXO6seAPPt3kv/z+BOcXAhd+LwV1KMAtGWfvMWCTe0ZzWVIO1VcCPCXwriLryj24MMLN87xZqZ6i+rzIhS6XE5a6YJV7jWtZ9DVcVbRcOrQiSSQbZzX//oc7/KO39miFZf+40+YVP7nT5S4nO9bWZz4ygtg4n3mmz02huROntxM9rreLdtFl33dFe5f+JstJCWXKtvUbWOys+/Cv/8E3vxw0dubD6ZXHttmI8UP5+ZPHgm+PksZ1dTVESV0d//yuCHgeoypPsCoxdjkHpczeoszeGZuXXYMidT7wcr5Jigjh01+t8+7fn+Dssm9zXSvSpHARCsfe3hrsPR61FGK8jK7ENJRel8A8HtGsWqAXfqwqycpjDab4eZambFyKhCl+p3ATliRLJSC0WpMbYywoRWYLWUbHQBIZNk2l/Psf7rDYkXz49hbUKKRK+aHL89dWBiU5m4NvrL2jsF2yZK6/SwUQzr2Ikyx5cmFJ7a0uWysEvC8MM02PiZp53Hjy82lUxWQF4MHs9/L4XT9zL4iHm3V9ne/FyKxqw8jiH8+cks/zqLYCMDnQq8BeDXLlwJ37wd2KUYDbheMDOHjS40O3Nzkz79saM6lWG5VuS48siFPO9V6VAFYC+RhUK0AvY7fM5FCdBH9VI9OU9UkF7NlIjgV9oDAwwQG+0OVau428tHAdpwrJIkoSRmQg10VzNoEiiWDTXMK73tznvicCDp3yIeB5+CyTLHYGaJdNqB24PWOlijKl/B4KY1MbO2AuXLJqLKrgtvMqayk9QOP7HtEoefiLn7/n3k//yS9eGOAA03OTCCFpLx5iur6CNjWSxCPNlj1nEaz1XTN2NqXnGcBFzhZjr51HRTpQiwqonRZfBW7DodMe/+F9U9z5SA1CSTlCWfZ3Z/rYek6KjMHCDTjWCkJUj8J7Uu07uPq1G4H/FdfJGMgr0Toz9pzq2QYaRR6Iq/rFHWtT8rZokbP3ONC1S9BCW8MTA3pouO3FI/7jT7T5ufdNcvg0Vo/LVVdOEfrMQG5/KcVl+QkL8qwKKN8CBZMzeDnos9YQluMBqYHICEYpqHTIJTt8dl6yAa31qr9bBfCO9058z4ve98UB3/GSb/CiixPrO6UYxGykx0FedZeZEsirwIbVnpMM5DAuS3TJyEyRvuHoeY+f/51JPnZHnUi43agy1s40NxnYRR7U8URRV5kNcF5rWbr+8WSgCms/D4DLPvG/7qMUIF6dbTh2xowxusvTztndRTNFKZyf7X5nhERn+1kqB3KpcrDrVFHzUt75ugGphp/7rUmOnXeIySzFrLw+NzixBoBwQDf2elIKhaOMc8saF87HrlHZwA8epgAAKthJREFUvMndhmuNjWPv1Fjfe5KkvOjiZd77L7ex88o3REYn/MYv/E8AHpmtTE3Xf+qqXS++Ik2Ov2o4WnCMXFo/ROVUusGm8rwAS+FNYZX+LjwohRYvuwatUamERnqGY/MeP/PeST7xlYYFtxqXI1VpkrG3ysAsSqAWGbDXaAUxblC6URhn+UrgpzwWF3xxAVCPvVFE6swYuEVFh5d7dlfciKViFVnytJTdiEKKwi/usg2FsSBHGkxq8En5njcM8BT87HsnOTbv8Jx5VIyqfpGyeC5tx2UogJ66dzO+F65DVgZyOTYi5eHLglhCWF7bML2FuZmbvr5x9uKfgoVVY7tqwXnxngbRmS913nRLbf/W9c00Tu2UXYvdyu0KyocqGYjZ4FW8L+VjDaa2oNYI5zWRQiM8w+llj3//W5N84o4GUdZnYRWoZXE8b1BnrSb2z+MHF6Vi2fHBr0iYwkm4KvNQVBOFygZUueF8OSSdTwBT/gfKrRbKW46I0r8j7O/pUrQzB/6YAZr/TrHBldHKrgCpxEsN3/naAf/pn7bZNOM8K6Yc8dSFhyV/P3uuS4fJE6QSA5GBkTtH2p7zbEV36PHDTRKAuhIsrTTTB/bO7v/IJ+7oCDG3CuCrGBzcim+WfqI2LW9UJr7euqRUbtFnMqNg5RLLZe+xhgbPdXjVsCyYPM3lish83cI2+Ek8we9/us7HvlgnkqoE7kyOjMsUm+GWuQXLW1xX2j+UMwVzrlltKFY8gWMGZ5WFzdhvr81E1b+5wGMNLW5frsXqMN5yQhsnRxy4tc5K6GS+CwPOP25cEx2ksbocx+YGRAoemne+ccD+Iz6/8octksxSxCFOZh3Ezdi31bgeDauO7Lf12E/k2PM8p9x9X+tmtAOQ+o0nT5zv/cTmda01h1Cu9ebOPW9EyqVUB5eY8+2EWjDKo2QZYIsqG+v5KMuKrJZSrGJrnb8vRJXFs/TXAtgFuPEEX763xke+1GBU3sxnFWsXPm8yC96dV+V4r+HTXutgjXMZsGt5WP5aj9Lf5cy8FuYN+RRc3TSnWoxMDvbSgUCzFovLiktRa0lqbA65MTavPEwN3/2GAa992dDuu1lmb11i9bLP3IyxPQWbl2dt5sPP2D0uHxQ+b+VIS0QRF811eO1N20x31Eu/77tev+awrsngAF3194ii/kfu27v/stuuPt4UJkS6fn8VBgaK0HzG2IXezg3NkvbGMXmhvdPC2BQluaIMwoPP3lPjp947ybNHAtdmrWxEriVPrKbzMsNyzEuyKr9brA36CogrxwXqLTEu6+Kv8RjzmKwGeymUn4Xnc7myOpwPWVSzFO0U475x60nR///2vjzOjqrO93vOqeWufXtJd2fv7J2QhJAFspCEgLKj8eOAM46gOE/UQVCUh8uoT3Tec8AZNxhRZ546buNHtoeASIwiQkJQDCKQBJLOnkDSnd6771LLOe+PqlN1qu693Z10Z4GZ8/nc7lpO1b116lu/+v7W43N6IhMtfeVTyBjwwKzIsWCGha/d0ofbGPDYpqQHVqZcRKUnNuDjfjoSkVYXKTnC65LXHLAx+BKeADoETAqkGGCYLq67rG7wQ+9b8fNEIokv3lJ5WKvejbkzp4hdr+y4q652RefW7c0YKCTgcuqBMx66SmUGvFCkeOhul+GuEfBSN7rux3dTFdw6wcNPJ/Hpf/XBrccDp9RSZCG4o9K7vDpsGEAV9WBKehL3WMZtVxUzd1C+/7jwHbOBV9yvcm4RAkBwEiqd0oTICSIcnZNyaR58aJSbQ2YFyUhFWUiIQljAvGk27rypD1etKfguRZVrS4mtLHOVh3NF2st1KdEV6e6n7chFx7eg6ESg3uRYPE3DsoXnde5ue/WudHZqVbZXVYIDwDlnL4JV7MPebS+C86N+7UBZKYojnAJD3mQpnQmkKRAB5/YBFLOYqCAPln10Pvx0Av/wrRps2+1L7kpKJapL74g7HlKKi6FLsCmKZCUPZnRftRLJ5LhAXqkyQQBe6XtA4NAMHgK1Hkjg8fSP8Swcql1cVJDeMeuKn0gcKqS+dJdf6M9tQy2OBdNtfPkjfRAC+OWmJAAXQemzQDKICh+VZaud4+9M5UKJl61UBEFSAABHwsyiqXku6utqhhzbIQHe1DS+NNDd++Hp0xrvS4h96WSiCF2zQJnr/TwRwDp2e3mgbEZB7tGSyDrlHiuUIGeA0Ah+tTmBz9xdg+37DMBQebdEoWotCa0mxL8oKb1Ve3eZxQTloA6GWAFyNUkdu+iqxGVIcFe+rcrNVVaDQCvlwEqmRNWzCeV/JO1NBbeqiHpRh4JSD8/cezt7nmzPlAgOEItj4XQbd97cBy6AX21OAuChJlg2WpJsKPRExJWXOLiVB4MQ2JyhRzC4DsH59ZMG+wv4cOuc5tIJA9y2Onhd47TnBktr+zb+dnP6kuU9SKccME4gwOC6LHi9ld1vxWqCStYTiDLJTSgBZwQbtiRw2zdrsGOv4XloqAroCuZAGlKTQHpDplCpAVOqxaS8hEFFCR6AVw59GAWnXGxFlB4P3FUZJzcEGJZmP9VlLy0n8CU1UawoEk7+nO+VJHgYjqt8SFS6Q9IVEf4YGuRmChBbYP50G//8UU+Sb9ySgAsFw3KBCPiT9iAI8xBxe0l8UOXriQPcgS5caEKgplbg8vMpbrx+Vd/kidOfa+/sLndfjhTgRrIJZsI89sx25+pn9l3w5Hcfe0JvSHNctWIQ772sCFPXYTsayqm8p1CqwPZwwKE6c1SKIsH9xJ8S+MTXa/Dqft0Hd4yWSGUlsk2qftFgKrXQZ9UMeYlP1b5fCbMxfUg1Iw7xgj2hFhHQ6nZRYVvwAEABrkpTFKdRxHQoyumK7/zxqEnIODgPsckhAkFMuQtuCZzVYuPrH+/DTQ7Bk8+ZHsilKTnAhr9MENr0I8CPvUYluB0HaaOE66/oxVXLCzA1B/PPeatd39R7tWbWHGuoTww5lkOq/JlUAn/4yy6sXjL98PlLFu05dGwmNv5hAu66rx5/2UdhGDwiqSWYg0ycSJaOokAGy67vKqbgjGDjHxK4+Ss12LnP8FLdqUJBAoSFdCSO1CByDVHeXTa7G6oAs5IZ0D+AKBsjAB4GzUPtrmQxqYb0iGRXnDuocA6h9ItMP4MoHSkvT1Fe+zDYrpgRA37ul6UQDjBnqo1//Z+9eMvyIlglpRKqEsrL10XMfCgvxhZYOqOAW64ZwAXnaFjcOhH1uWV7NH3OYWFtAyHmiQMcAAyd4Zcbt+5P6/SG6y5biMZahpZJDLkUgevSqOZDgKjzRlpHRMRyIq0sIADRPcn92+cSuOWrNdh5QIfQFcsIVMtJzN4dxJ0oLvmYxSRiHoR8HkSUflTg34HURrg8nGQmsYVhHTnx46XeFQBbMZuJqGQPwa4qpMp25VdFaElwvqjXM7CiqP15GD8u/Lhx4X+CZT8XFJYH8m/c2ocLzy2CSoO28HQuz1Ki2sh5uC/4Hxsx4s0y0DWoY9eBNA6+VodjhYvQ1ZO64dDuP+2PxMBUacP2+O49d+G+//x3LFk4y3CtwmJnYH/L9Zd347xWG5ateR5O/9UTDYeNURClWpUsI0FNgoOdDL9+1sSn76rBzv06hK5w6wiYZZSg6qKXfWQJCN8t7zsD5MwSwYSywYwJsf9ymUaVUFnfI1BOKUAoCSh/uE/9783iIN376rZgWdULKKLrqiIc+x5G/O8PHtLoucKPEtwmq0vRCk4uEn2Y5fdD6RcsK/pLRCchcoY2LzKwsUHg3LNsHO2kGOil6B0gSj6nKgBE9PXpK5Lelyr3lxG096RwqD2DqY3jMW32hU9PnLb2p8lsS5dmThwW4CPySmTSaTz//Na28U11d33gmnloqhFo7/Fm9XJcLXh9qYojjVCV8KOCe+dhDV+6J4uP3ulx7hDcMSqi2rjVsFiEimUYa1KhGiziN6vCdiAqtauQ6UrqUCjdw62RQpzDtHj2TvkXi+BvPOmhTKpD8XRCKopAPH4lkqUPaaGJmhG5oBGqInhsPZDm0tsJCEugdaqDuz/Zh8/f1IfZkxwvyCTiwVTt33GJDl+IaQDVQSlDba2LQ+0Mrw2eDY7MXS/95Y9thpka0dhqI+oFYH7rFGhG3XOlvvaHvnfvnHf0v7ANf3MRQdIkYMyGQXhIUahb0eYt0UQTBG2HNXzp21k8sDGBoks9hVIFd6BMxj6qHVWeDyH3lsCmsZiSEOyiAuhFRJhEnTxRChNH+ok4dYYFfGwhSEqu1AfhAxKlK6ELXI0sFCReMcv/T5Q4caJwdJ9vCwCceCaUQPmEFM4iDHjlHMThaK4XuPYKDlMHvvitLHYf1gATPohVJVPeTzmonqeTUA0mJcgZLq5Z24eFc1uRqZ/9UH39rOcc0jvisRwxwBOZZtiFV/enGhZ/7EjXDlbsLb1t98F+TJs4iGxqANABSpxIHAn816SPIoAQUB3YfUjD7d/O4oHfJFAUMXAHwFakeNzurbw/Veld5q2Mv4IRXUd8Pca5pWUm0i9oJLpE4lvjK0OgeYh+Af8m8tfIA0L3vHRrB+cTUdXI2x6G2QaKqk8NAk6O8IEI7OuEQgjuTXuicnT/6RY+QCMZbZyDlwBTF7j6rUVAALd/O4M9r2lhkU/V/i1EaHXhBCAGGAEaTY7p4xhaJ0zBirMmPoKJ531sT8fhA+fMaRkxwI8rcEJPtmLr1p0Hrrly5cvnnd0Cy/aC5hnjMHULpmlBN20w0wU1OAgTEWJJTYJ9RzV84Z4s7v+1D25NpSNxaa06cWLWFF+xlNJbjfOWPcJ4bwluVfUql9KqVK+I05iPnlTtWHVDOYCH6C+q9A2ArdIaCb6gg6pEhtQn1GGVsFqEdEfSkjIbebCNlimc5R//fLZAEhzvuqSI228cQEuzT1dUisI5iOOC2DaI7YBYNuBYgPCmk2TCwYA1BVp29cu884XjAjdwHBJctpapE5CpmXSnznfOIMW2v65J9yORHMDrXTaOdGugTJ5SYPoUB405z25qcYLnX9Dx7ftTuG9jAhao1Jpi4I5LcZWDU6jkmCAaAhtIaCXGRJ1NV6UsFfAawqxCX3XfkNAdLWWpYuuWCwGw1e/xKUYAbIIwACvoKALKAcnjiUJt/JxIOX1NCHwROIAECaU/QIKyzXK0wmxLj8AQCHDXm2j4ry8uAhy45/4k/rxDR4l7OaPjcgLTptiQAQmUUrzWVULHMeCoSGFSUwOydZN/ftZZZ9/ZtufgcQ/nCd2Og7segY0pqTrcveHJPx1a/cx2gs0vp7B9lw4QLyySw8WF5xbxgbcXsHKJjfs3JPD5b6fR08dgQ3G9I0ZDVIkdUSj9hGIf+NKqYBA55XbUySPn2pFz3QcKqP/VLPJfztupzOVJUDanpVz3jiHK/KDh/JjqOvUtHnKOzHB7OM+muiznGfW2CX/uzXA92F428zNi62p5PLWshzrfkVKmg4T9y2pCBvvdaNUDxdwb9FctZuBBbD9865MNit4Bis/ek8aDGxJYsdTGB95ewIVLi+AAhOth4KWdBp552cDTO+qxr7N10//95FWXbt93LH/DdVecGoADwIvbNoNz8dv3f+7nF21/tQgYJmzhgDtFwC0CrgXkXcyeaePWa/P4/Hcy6OjxUaQ6bPzUstAqIkEcj/FW+sIDjjenZZjQoClWFE0C2Ae4B2ZpNlTc+Oo2qpgSCQLABvtICM4AvKcC4ASgTPi+r3JwR2pDshCk8QchWr8mzLwi/nKkoq9S2TesOCbj+NUwizBbq9xT7QY+EU+4exPitvdQfO47adx6bR6tM22IQcCxGSwnAcsywbkOXbPQW6rDgHnzEyD0LWe1rjohnB43RZGtrmEBOOd/vPyCdStFcVNyIO+ivWiirwiA24AAZrW4WL/WQnM9R0YT6CAquEmMcsQlejWTIQk5c9zE568EFZQQLV1RpgzGFU71yY+du5okqGgMPF4PT9k5K2wT0R6BwhhXNgP6IoPglAArEnJxb7tHbYhPO4gfHRoJ0vKxGSiWkA4jb50QWaqCevnHwbdKuuIH1/n8inNgwAaOdFH84ikT79Q4Zo5zIASDbRsYyGfRO5CGw03MaF1VmDKh9Y8gJxhjj1EAfMr4HAYG8p+95dp1Im0f/PhL219JbGrT0TcIwOZYMb+EL3ywFxcutuAIgqWLEjiwUYMbFCRRbdmKAlmWHqM+ACQAZWAajOdWyt7hs1DFQVHZ4lEVzMNYO6oi9DjekZXiT9R96nYyxPFhDxHh4PKfahoM/0MBfGjCE/CtLT4XJz7Avcx8X/n0rTFcEFAf1CJmvyDwczI14E8v6vjNFhMbtiTwxBYTX7ihD8vncTAbGCwyPLstjebx84qzs2/7hm0nPzdSm3elduKPBoBMJsVf/Mtzty9ZMP4rS86ptwasImAVsXJBP+68sQeXnVeEQTl0zcWqhRbMhBx4CVGVmsQketxMGHGiKFGCiIIyokSqYCCxPsq5KoOaDAvUeLThaJqocoLyyleIuO1FHPlBv9jEBdLtr3YPFkj4IMj+sZgV1dICqHEtlZ0/lVLlCIBigeCZFw2PktgaNvwhjU/eU4dntzMkzQISZj8KqLUGnfFf2bTpT7cbZmrIaMHh2qgADgAdg0es+mbtjl5n/JdmT0rxj72rG3d/rA8r5lKU8gk4lgbNJXjbBSXk6mT0WMxxEzELKqCvIr0Z4laT0HoSglsEh0UjM1C+TCrsHPKAYdqJoL2C9aTiyYaiPyL+uMcdQorFIwAtCb87sLKoobhqP5ndo4bbqnREAbk/rYBqPgSAnm6CR39vwmYMMAwgkcLmbfW46Rvj8c8/y+JYbx1fsajmS7WN5A4jddDCKNsJUxTZ3v2O6/HwLx8vLJu3+KE187NfnFHXhgkNBvoHvRxO0yhAsAKe265hIB+LIylLOYtJ9ghd8W83CS3iqmU84rn0caECOM7TIzc/Tj9GK47PhCbC61ZNi+EyCQiMgJ+7SXzAyqysIM7cEx5SygeZ+v5Ak8DLKr/Qi0WnVLkzfp5nNiWwbL6D/U9SONQE0VKglOHPe1M42JHD5KkXiDVLpj7EeguFpcuvHvUwjFqCA8DyRVOwoHXZrreeP+3GXnEh/8+NzTjc0YDBQhqOY8AmFE9uTaAwoCMyX07EBq5IajlYFfzhMgQ2kNhQAK08DxXOEmwI6YkIt40BzThdLR4/XlZnHEML/mB/IMlJOa1RoxHVt4CQSYBym3Q4hbO9yXgV12VIpgXWLSlBBwFhJjKmjuk5ivdeZOET1y/jPDHvxmnTl+4S+owxGZsxAXjz5PmYNf1li9Ws+95Lbc23Fqx5eL0jAdvRwJjAS6/oeOblFFxNB6gBOQlrVXBLrVmV3goIpZyP0BSUA7QS8xiKjYxZG6UV5aT9LAXsoVu+PErV6xQNwgrPEYsjDxxHJPZghSG2nDO4rg7HNQBbx8r5FhbMLYJyIMUIJmRsLJo+Davm5m6tW7vse48/d8hatqR1TK55TAAOAEQ7F+1H2931V67fffGFa/prazMw9QIKto1PfacW2/fnIIw0wBI+wDUF5JWkdhgtCGWvGuMNRMEdgl+US25EXgSRc54Jknusf0MoyWOPd8xUEw28Cjm5dP8H5ws8mOW/NggR8GlNEA8DD+QuZ3BcDbZjoFBMYe5UDXd8uBcpYxADRRvJTA7zFq7tX77ybbtXiXb38tXzxmwcxgzgAJBKJZFJ9j4yc86Sj8xbuKbLSOr46UYdLx9oADFroBkpEM30pTiLIo5Uk60hmiPcW01aiPau2EasH441VTkOaT6qhy0Iix3u50S/gZTtj/YpoytBbEtISUJAK8eT8HjOKVxXg2WbKJRSGMhnMWeShmsvPIbJ9Rouv+ItXauWL/3I/tf6HjHM5FiO/uiVTLVla2r8i+r4sZm8SPvzkeKdP/nNs42WxTEpQ+BwgR6bIg/i1dPwnQDlrVz+RqrAKr2CvMtqP2qI56ZSOx52EThVBKqa+UbbCBk93wmmnlEvksCP6qsc7iWBLR05UskMWLkP8nB77DuCbh4fdzlDyTJQskw4nCKbzOO2aw1ceunqjnMWrf7UsX7rx3NnTRrz8RtTgAeDRBqx68DAD2qb1tMVy/g/ieKzjVmTI28Dg8fgV09UI4fkoMecEoqIDsCsmAMjNEWl8DFl87hitoPQ1JPXhn0YT+ikYsSHB5GERATLXhxVWD0rnvAhJx+T1d+FL1hC8JcTFxB4M0fACxEQoDjalUG+oCOdSmJm65KO9Usu+QyQ/wEhDSdlrIdPajvBdvfXv4yZ85b/uT6tdzRmrbV1yXxy6VwbiVQvdh70YowBmYAqn3yfe1PFwUNCcKvVYSPlICKfMLm4atVY5VO9DynfD3UbUc7h190mfr1rJT0tSF2rkrIW+f1q4hJRUuj87VQdnnjJZ6L0lW+1yBiJCtfojXuQpiZvgWKhAkRUYCjHecLDJyWxeu9BoBX86ycONmzV8fvn69HXn0A6O61rXOPE2wa69/4gN27ZyYLh2HLwePvoDW/HhHrrR0sXTr35olVT+9ec04uW8YOeAHcB5B0gbwGuX6QxKIxbTk9YzIJS3usktWr+c4HhNmAkhKfS7x8uXS5+bMUxGB2hDxVNkIiCGSquipVFKpdAEGilMQfJdAnptAWNefL9QIeD3z5fxIAzod9hU2/etkv70eQ5o7d1D9VOCkVR28xJlDOt8efcLTov7Zr6w4efOppoTBrIZvowf3InOBfYtC2F3kLCy8ODHEBEHDQh3470GJp/D9HkOavFXY+Us8ebiK8MdxypevSIvn4okMvrG43iGpbnE6GDKNBmiV+GWaa5edsZc5AvOtj8vAaXM8yaoCFj5nDFsgKo0VTUWMMHBgvJB9p78qNyw4+knXSAL111NX614VvuuuV44MkXprkXL63/iZ0/kFi9hOPCc0tweQHX/SPBlu06/Ij34B2qmgVDm3cM0Cd490SV5XinwEigKJJC+UROoqBptKqhKoDLnzURSnlSflz8GHLcv4ZI+MaGQxEJftqZEDz0bPo8nVGO7QcYbv5aM2wnizVnU5zfmsCSRZOL65bWXfv4DuMhLXvU/fC1N4xylIZvJ5WiyHb5pR/Bf9zX4N52Z+ODl66dccNbVreiPpOEJmoxtUnH3105iNqEgFouQAZUqWXYKr2egRM07YkYyMsMACIq0dV+ij1ORM4T7ThSWMULEqkXSapdNBQABqgWwfkifcaSxwXeS+JnnXnZ9y5nQQmRvhLw/Ucz2HckhwEri85OE0UxOd/RP+W9K1df+eD6hYb77vUnH9zAKZDgsv39DX+D7v6SME1j3+7dbbsOvdJdZ9k944QQyKYIGGWA0EEZg0bDuY4ARN3rY/R7KlIJRWKTkbzbq5kJlTiQqo1U3xZI6ErXH3sKqkp6ZeOIruU4x474aW5CEAjXVzYFwJgLLij6BykgANMA5s+Z3Dtv9vi/h7Ptvp/9jOJv//Y9Y/djhmmnDOAAoOkGdB2bF0yePWec8ZP3pozM1xh9ukGILoCa0IiOFBMwqCcZXYT2WHVwx6qJmB1YoZbBhkjWum9PUxMMIuer8BuH+r1kCJCri4F1Q0lXIFWkNolwpZBUjBm+gweaeKVOFHpCKfMfQAeOA0xsrMGVly7ubGzMfeJXLxk/u3i+OKXgBk4xwLMJAvj3nNuX/IhQXSt2T7xjT/tjjZTpaNSAJOMQILBcghL3prCQB8WFpFzw35ojavGkASUxJgBynF+HEkvdMDygTwRYBOpBiqku2B/+OqL0i66Hb4GyQElZ8fdERUXc1S8IHIfBcRkECGxHByUC556dw/K1l3T8j3ee/+mS5fxo8vgGfOvEvnFU7ZQCXG1Ub0JnT//3iX4VyTbk/mly0+8b8709yCYZHE7RVyIouASOeow/oIJIfV16yoa+WWpBHPWmBzc/7txRwa5IcSnRI4XoFTd1iBs1k2bopkpjVWIH20n5fwTl0sJ+keQLUn7+0Gbtbx/m58mpZryV8LvUN4kcJNvRMFhIwHYIDL2ITGYSbnzPxR255jWfAcT3CT05TpyRtNMGcABoqM1icCD/vevefr5jmsbXN/76qTrmdOP1bo4DPRz9LoNgfnpajGjKPNahJHfMsFFxX+Sjvg1iRDzsF6I/pC8e6oXMaTwBAVkWllMB9PJ/YE2K9BNQw4fVmaUjJ1BOUt1UrrwRYvMsReY/JRym4UDXgMMdaRztTGH29CY0Tl3VnchdcFvJ0n+YSAxd/fVkt9MKcABIZ1IYKFg/fvtbl3ZZfUdnThtf+spDv9mo27rAkZ4E9nZkoRk0TF/1HQ2ciBMyAUkQR6lAvBOCQH/VTBiX4vBrbPuHQFaDCh6KkYA8rkwqwA4A5r9mQkkuLSMiIumDHx85tyg3rcputJqFJbR7h6ERfs13//oIEUiaFg4fc3Go08KOvQLjmlfaNKl/Mte8cjdl7JfDlTY+Fe20AxwAMkmD53t3PnLTB99h7GnbmtcM+57u9i3k/t8N0L2vp6GZDBoRsIVXkZcJAJSADReIpLxJ5aoUzqpCGZfeZUqk7Bfj4YFdXCjrIvrVwQPhf6KUQZGian1EH9iI9ZWXEqEwamgwUQCJ6HcEQK9maqzS5JtBlpUIJo7lFLom8MI+isf+MI1fumqJmDJ11k00t/g/nn3+sHX+eXNOOY4qtTMC4ACQys1BW9tLFtUm/HhWC548mui/pr7h2P+uTfaAMQYKoGgBLhfglIARAgOh6344TllGVQIpTaK2YqUjF/DTsUhEGRWqhA8OC10jw82YBqBMcgb8NibB1e0hLYkVECWi/LxV3gyqwlp1rISi6xCAEg5GXTDmwuU6LNubFPhoZxLj6lowa+bs/9XUuOC+1pnjD/YNHLCWLBi7eO7RtjMG4AAwa9ZCACg8+vhPdi49r/GO1YcmGotmH/rsvb8+xAYHXEwyi2g7VMKAk4VLDR/coswJFG8Rya044iJSu4LXUrWyyO3cV7JkuYRwKhAotUrgPwgjsKPEnDyRuYNiElmdqUKVyBHODVTcBoTfUXmE1MGKZu0QImAaJViuhVcP1ICKFBww7O2a606bMOn/NM/V7yi5e90JE1aebgiVtTMK4LJdddm1eOzRX7jXX7f+C0c6OrREavOt/e0vmBct3YF7n+zGnffqILoOgwroNC69PSir9mtVZ1StJRHlUpXIMfBHrGqqcqlQj7LzSYk+BMirhfyGII0pjeqDEJfqUB8GhY4oD0N4cHiMz/YiPF7qOa5LA8uLoVv46oMJ3P+7SXj/W5tx5cULS8vWrflqNtv4hV899jAuv/ya0w2biu2MBDgAXHHVenR09SFtkM++a/1FtK+7ZaU+eIz+1UV85b1P92vtPWlkdO/muAJweajYyZsWRlT5oFelsvJdwRR7gJJFroLfr51NFL6tZqEjCvZAqivfMJQkLytSVDG0FRHgqrwcqtRXzgHEHhrlgVF/kxDqjHjeLtf1JoJ1XAZDs/HSHoHN21ucbE3zltXr1vOWOTO2FC36WcfqhWbkTjdcqo/t6f4BI22i5/tA0sj2dPT+2w8fPfSuHzxg0wQZhOVqyNuA5XqzFhB4xThlrT/1tRyJoUYYcx3UFq8wtQkJ+pDofgqlFiGC2oOMeXULNVmPkHkfjVEwSqExgDFA8z/esqxD6C8rdQmZLK7JhF88VK0ziFjNweiy7B/GaocWkQAABMGs1RrzYvO5oHBdhnxRR75A0FhPsbmtju/sWHivLcZ9kJFi/9c+tf50Q2JE7YyV4PFGav8OR9tf6c/WJ24+/7wjbZ2dLy5govcdG7a0oWuQweIaBmyClOEBxSAisLLwIJY5dJDQMuuJLBUc5d0RHi7CZCQi4lLbK1hGBPFmQFAkO4L/AjJK0ruoKP+mSqnnYJpxAm9+HSIqSHYRpSvKMkV5f0rD9ODASSbgz+ogoGkOkoaDkm2gUHLR3sVh08WoYdmH1q5a+PK6xIRvCl7sb50xNhnvp6K9YQAOAM1NcwHg2OFDhz7/0Q/ObentfAXZcePe8fCG7cgmerC7y8KBjiwyOoWheVVjHeHNYse5B1IqeQoNX+EcIT+P83HJybnPpakEum9hIf58N0QIEE4UhVQEXDbkKqGJJGoiVEGoRgz7Ell581ASn0yqgnIZ2y+rzYa2bK/QvesQuJyCMwpdc5E0i9h71MaeA0m0TqtFw8SzUMTSh+aefdYtvf39+ydMHH7SpzOtvWEoSrwJtx2g2qxnt+4+u6fb+liGbl/b2fU73HKPgRTPoDHrpcL2FYGBEoErCCiUWuGyLHGkLrgoT4VTU8gIQEi0ZrhHJUhIUxjxqYdHUTSNenSFEeiMQtNIQE80BuiaUOiK8OmKVyqZMVGhBHJISwiJUhTPXh0toayWTJbnIESAc4LBgomBggECgfpcHpZ7FP/ywCSsWLAKf3Vp61NUZ9+06NwXCey2GVMbT/ctP6H2hpLgaiOsCQDahBBtAF7uPGRNSKUnffc9+w7M2rJpB2uqcUEZRc9rHB0lApMQmMyjLoR4r2XA4xyEehKcxKgJEFIMmXpC4Smc8jhPmqvUxK+yKmkKF94sCDFTtVprNJS0iEpqooCblIM7nnEfsb4oD4MqxTXmQmOeTbs/T3Hg9ax3LGVomLjIveziJW26Sz40ddaq14XATkrfsDIQwBsY4LIRz5SwU4jXd9qOe+kF542b9LZ1K+//y/NbarL6/vSa4l5869EkXj2YQy7pSW7DP5YLmVEuPMYiY4v8/ZI2C4SVrv0DPRTykBZwEge6co64FUWyJMSsJFShJKrSGFMoib+uOm1Ca2ToeZT9pU2bEgFDt5FJ2th52ME9DyWR1pNYvWzq4OxzVvbp2uDVq5tmHgbYfnJcpQjO3PaGB7hshEyAEHz/xWsnHezrG5zfUENXNNYu+7ed+3Zk5m7bX9vZcxAlByDQoVEBl1M4EtA+RVG5sGonhvBMkYQgnPXOB7nLQzs1JwSU+2CnIpzvXVQIUFUkeNnktMG0JOonlOQkNrGqWt7YixMBGJFWEc/kZ9l+gXpaQN6iSGWm9685f2lXy+SztfH17IaGppnPJhKp3kaA0zcJuP1hfvO1wb7XIKDRNH+Q9ND3va+7d/AT+175f9ajz+wlO3eKuTrsRNvrgzjcQ6EzirqkQMYETE1A9811AILJUrki2cPpTMKpTAIO7ZsHJQfXGYGmEegagaYxGDqFoREYOqBrgKGLGA/n0DSPh8uPx6l5ZBoSiT/5BuK+D4BRAV13YeouEqaFTLIIxhwc7UyhNz8e6RSKB3v4K0U+X3/nJat/PP3yD/3LI9/5d7NlQqZYslw+Y9rYF9453e1NCXDZegddUErR19dHDrz6AHa9lmXZVM09RAzOeantldWPPNXB+ooWeEFDghSRTlBkkxSMeoW3bBdw3BDoMk9UglyTNnAmQe7/V5RNXSPQNQpdpzB1CsOgMHXA0AFDE9A1BKDWfQVT17gCcgXcvqIYcH/uJRvYDoXLCTTGkUxYMLQSsmkBTvIwDA072+e5uZrFmxpqUzvzhe4bX9xdcN991TpYtiPqGqef7tt0UtubGuCVmmO3g2lmXW9P55efeeZx44mtu929BxuXULhLj3UcQ41egKET9OYJChbgcALX9awwjEipGs7Qxhigq+CWElxKc414UtugMA2GhEFhGl6uoqkJT3rHpLameSDXGY9Ib0YFNM1b55zAdggsmyJf1NDeRaBrHDOnEuRqc6CEbn321Z7nXcxhF1xwlZWra/oH2yp2T26qP9234JS2/3IAj7dHH/8dGCNr9x8tXOKWCldnjFJrqVjCg7/djsG8A24XcbDLQd6iGJehqEtTEHgSXmOeBDY1X1KzmNnQpymGTmEaFAmTIZWgSJpAwhAwdAFDA5gPWmka1DUOQ+cwddcDuibguJ4zJp3MI2UOoljS0NWXQzJpwHIN9NqLkEqmMHUieTWXY/cf66v7NSX8qbnzLzrdQ3xa2395gMt2rLMLAC4lwp3Zcayb33rHz/msKeOmz59Z/+mHN7Wht6Sh0N0Jw+pBfY2LrgJHd38SuSSQNoGkQXz7NQlKt1EK6IzANIgH7qSGTJIinQRSpoBpeOBlshQbPOuHpgkkDBeZpI10qogjnRZ6+rKoywLTpjBMmZJEVy/Q3r8UBm2/gzjte2smv5+mM/U0abLdAtiQydad7iE9I9qbxooy2jauoR4ANsh1bnWB6Gbtnr0HtxzqLqJjgNhntyz8eE0CFzfV2egpFnH3D3fAzvchnSJIJzyTpetYyBcsuNxTBnVGYNkErsvAKEfaZNAIoDMOg7nQmGev5oKAUBOa4WXBMN1GKsVRk6uHlToXqVItxjdQ5DKljem6vV/PC6LnzIWAMespiHxPy7Rxp3sIz8j23wCv0qhRDwA9AB4GgL37XweAVwh4c32NwwdKefz0FwdxzCrANAkSJlAoWvaFa5ff3tHVf1W+YNvU93oaOmDoFNm0hroailzak96G7iuNEBAwdKLlHj18YOvtlJo6pYCuM2h6DcY1LIZADcblCDV0HB0U5+5tannjuc1PR/tvijKG7TdPbAIhpHnP/iO5gcGSkDMd6xqgaxSZFENtliKb4p4FRed+ZCOHIAmSSE/shRBHZ5+14nRfypum/X/D7Qf9OQabLQAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QyMToxMzoyNCswMDowMOPLfxwAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMjE6MTM6MjQrMDA6MDCSlsegAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 276522000
{'hecke_orbit_code': 211669182519972826, 'n': 1, 'trace_an': 2}
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id: 276522001
{'hecke_orbit_code': 211669182519972826, 'n': 2, 'trace_an': 2}
-
id: 276522002
{'hecke_orbit_code': 211669182519972826, 'n': 3, 'trace_an': 2}
-
id: 276522003
{'hecke_orbit_code': 211669182519972826, 'n': 4, 'trace_an': 2}
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id: 276522004
{'hecke_orbit_code': 211669182519972826, 'n': 5, 'trace_an': 2}
-
id: 276522005
{'hecke_orbit_code': 211669182519972826, 'n': 6, 'trace_an': 2}
-
id: 276522006
{'hecke_orbit_code': 211669182519972826, 'n': 7, 'trace_an': 2}
-
id: 276522007
{'hecke_orbit_code': 211669182519972826, 'n': 8, 'trace_an': 2}
-
id: 276522008
{'hecke_orbit_code': 211669182519972826, 'n': 9, 'trace_an': 2}
-
id: 276522009
{'hecke_orbit_code': 211669182519972826, 'n': 10, 'trace_an': 2}
-
id: 276522010
{'hecke_orbit_code': 211669182519972826, 'n': 11, 'trace_an': 0}
-
id: 276522011
{'hecke_orbit_code': 211669182519972826, 'n': 12, 'trace_an': 2}
-
id: 276522012
{'hecke_orbit_code': 211669182519972826, 'n': 13, 'trace_an': 0}
-
id: 276522013
{'hecke_orbit_code': 211669182519972826, 'n': 14, 'trace_an': 2}
-
id: 276522014
{'hecke_orbit_code': 211669182519972826, 'n': 15, 'trace_an': 2}
-
id: 276522015
{'hecke_orbit_code': 211669182519972826, 'n': 16, 'trace_an': 2}
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id: 276522016
{'hecke_orbit_code': 211669182519972826, 'n': 17, 'trace_an': 2}
-
id: 276522017
{'hecke_orbit_code': 211669182519972826, 'n': 18, 'trace_an': 2}
-
id: 276522018
{'hecke_orbit_code': 211669182519972826, 'n': 19, 'trace_an': 2}
-
id: 276522019
{'hecke_orbit_code': 211669182519972826, 'n': 20, 'trace_an': 2}
-
id: 276522020
{'hecke_orbit_code': 211669182519972826, 'n': 21, 'trace_an': 2}
-
id: 276522021
{'hecke_orbit_code': 211669182519972826, 'n': 22, 'trace_an': 0}
-
id: 276522022
{'hecke_orbit_code': 211669182519972826, 'n': 23, 'trace_an': 8}
-
id: 276522023
{'hecke_orbit_code': 211669182519972826, 'n': 24, 'trace_an': 2}
-
id: 276522024
{'hecke_orbit_code': 211669182519972826, 'n': 25, 'trace_an': 2}
-
id: 276522025
{'hecke_orbit_code': 211669182519972826, 'n': 26, 'trace_an': 0}
-
id: 276522026
{'hecke_orbit_code': 211669182519972826, 'n': 27, 'trace_an': 2}
-
id: 276522027
{'hecke_orbit_code': 211669182519972826, 'n': 28, 'trace_an': 2}
-
id: 276522028
{'hecke_orbit_code': 211669182519972826, 'n': 29, 'trace_an': 0}
-
id: 276522029
{'hecke_orbit_code': 211669182519972826, 'n': 30, 'trace_an': 2}
-
id: 276522030
{'hecke_orbit_code': 211669182519972826, 'n': 31, 'trace_an': -2}
-
id: 276522031
{'hecke_orbit_code': 211669182519972826, 'n': 32, 'trace_an': 2}
-
id: 276522032
{'hecke_orbit_code': 211669182519972826, 'n': 33, 'trace_an': 0}
-
id: 276522033
{'hecke_orbit_code': 211669182519972826, 'n': 34, 'trace_an': 2}
-
id: 276522034
{'hecke_orbit_code': 211669182519972826, 'n': 35, 'trace_an': 2}
-
id: 276522035
{'hecke_orbit_code': 211669182519972826, 'n': 36, 'trace_an': 2}
-
id: 276522036
{'hecke_orbit_code': 211669182519972826, 'n': 37, 'trace_an': 8}
-
id: 276522037
{'hecke_orbit_code': 211669182519972826, 'n': 38, 'trace_an': 2}
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id: 276522038
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id: 276522994
{'hecke_orbit_code': 211669182519972826, 'n': 995, 'trace_an': -68}
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id: 276522995
{'hecke_orbit_code': 211669182519972826, 'n': 996, 'trace_an': 2}
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id: 276522996
{'hecke_orbit_code': 211669182519972826, 'n': 997, 'trace_an': 52}
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id: 276522997
{'hecke_orbit_code': 211669182519972826, 'n': 998, 'trace_an': -16}
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id: 276522998
{'hecke_orbit_code': 211669182519972826, 'n': 999, 'trace_an': 8}
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id: 276522999
{'hecke_orbit_code': 211669182519972826, 'n': 1000, 'trace_an': 12}