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mf_newforms • Show schema
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{'Nk2': 17600, 'analytic_conductor': 35.13417688936337, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [4400, 2, [2751, 3301, 177, 1201], [2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 4049, 'conrey_indexes': [4049], 'dim': 4, 'field_disc': 7056, 'field_disc_factorization': [[2, 4], [3, 2], [7, 2]], 'field_poly': [25, 0, 11, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [25, 0, 11, 0, 1]], [7, [1, 0, 23, 0, 1]], [13, [1, 0, 1]], [17, [9, 0, 15, 0, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064862045704496, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4400.2.b.s', 'level': 4400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'minimal_twist': '1100.2.a.g', 'nf_label': '4.0.7056.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{1}q^{3}+(\\beta _{1}+3\\beta _{2})q^{7}+(-3+\\beta _{3})q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4400.2.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 801070386121121035, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.046', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.925', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.883', 'prec': 17}, {'__RealLiteral__': 0, 'data': '78.417', 'prec': 20}, 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mf_hecke_nf • Show schema
Hide schema
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{'Nk2': 17600, 'analytic_conductor': 35.13417688936337, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [4400, 2, [2751, 3301, 177, 1201], [2, 2, 1, 2]], 'conrey_index': 4049, 'cusp_dim': 684, 'dim': 90, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13, 17], 'hecke_orbit_code': 68753035568, 'hecke_orbit_dims': [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, 4, 4, 6, 6], 'label': '4400.2.b', 'level': 4400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'mf_dim': 756, 'mf_new_dim': 90, 'num_forms': 29, 'prim_orbit_index': 2, 'relative_dim': 90, 'sturm_bound': 1440, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [90, 0, 0, 0, 0, 0, 0, 0, -90, 0, 6, 0, 0, 0, 0, 0, 0, 0, -16, 0, 16, 0, 0, 0, 0, 0, 0, 0, -12, 0, 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-100, 0, -800, 0, 0, 0, 0, 0, 0, 0, 92, 0, -908, 0, 0, 0, 0, 0, 0, 0, -1320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, -736, 0, 0, 0, 0, 0, 0, 0, -128, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1204400
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4400.2.b.s', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '1100.2.a.g', 'target_level': 1100, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1204401
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4400.2.b.s', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '1100.2.a.h', 'target_level': 1100, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1204402
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4400.2.b.s', 'source_level': 4400, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1100.2.b.d', 'target_level': 1100, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1204403
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4400.2.b.s', 'source_level': 4400, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1100.2.b.d', 'target_level': 1100, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1204404
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4400.2.b.s', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '4400.2.a.bi', 'target_level': 4400, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1204405
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4400.2.b.s', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '4400.2.a.bu', 'target_level': 4400, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1204406
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4400.2.b.s', 'source_level': 4400, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '4400.2.b.s', 'target_level': 4400, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1204407
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4400.2.b.s', 'source_level': 4400, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '4400.2.b.s', 'target_level': 4400, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1204408
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4400.2.b.s', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '9900.2.a.bh', 'target_level': 9900, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1204409
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4400.2.b.s', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 52, 'target_is_minimal': False, 'target_label': '9900.2.a.bz', 'target_level': 9900, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1204410
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4400.2.b.s', 'source_level': 4400, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '9900.2.c.x', 'target_level': 9900, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1204411
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4400.2.b.s', 'source_level': 4400, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '9900.2.c.x', 'target_level': 9900, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3589775
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064862045704496, 'p': 2}
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id: 3589776
{'charpoly_factorization': [[[25, 0, 11, 0, 1], 1]], 'hecke_orbit_code': 81064862045704496, 'p': 3}
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id: 3589777
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064862045704496, 'p': 5}
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id: 3589778
{'charpoly_factorization': [[[1, 0, 23, 0, 1], 1]], 'hecke_orbit_code': 81064862045704496, 'p': 7}
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id: 3589779
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 81064862045704496, 'p': 11}
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id: 3589780
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 81064862045704496, 'p': 13}
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id: 3589781
{'charpoly_factorization': [[[9, 0, 15, 0, 1], 1]], 'hecke_orbit_code': 81064862045704496, 'p': 17}
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id: 3589782
{'charpoly_factorization': [[[-17, -4, 1], 2]], 'hecke_orbit_code': 81064862045704496, 'p': 19}
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id: 3589783
{'charpoly_factorization': [[[9, 0, 15, 0, 1], 1]], 'hecke_orbit_code': 81064862045704496, 'p': 23}
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id: 3589784
{'charpoly_factorization': [[[15, 9, 1], 2]], 'hecke_orbit_code': 81064862045704496, 'p': 29}
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id: 3589785
{'charpoly_factorization': [[[-5, -8, 1], 2]], 'hecke_orbit_code': 81064862045704496, 'p': 31}
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id: 3589786
{'charpoly_factorization': [[[289, 0, 50, 0, 1], 1]], 'hecke_orbit_code': 81064862045704496, 'p': 37}
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id: 3589787
{'charpoly_factorization': [[[15, 12, 1], 2]], 'hecke_orbit_code': 81064862045704496, 'p': 41}
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id: 3589788
{'charpoly_factorization': [[[100, 0, 1], 2]], 'hecke_orbit_code': 81064862045704496, 'p': 43}
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id: 3589789
{'charpoly_factorization': [[[225, 0, 114, 0, 1], 1]], 'hecke_orbit_code': 81064862045704496, 'p': 47}
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id: 3589790
{'charpoly_factorization': [[[729, 0, 135, 0, 1], 1]], 'hecke_orbit_code': 81064862045704496, 'p': 53}
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id: 3589791
{'charpoly_factorization': [[[15, 12, 1], 2]], 'hecke_orbit_code': 81064862045704496, 'p': 59}
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id: 3589792
{'charpoly_factorization': [[[37, -13, 1], 2]], 'hecke_orbit_code': 81064862045704496, 'p': 61}
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id: 3589793
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 81064862045704496, 'p': 67}
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id: 3589794
{'charpoly_factorization': [[[-180, 6, 1], 2]], 'hecke_orbit_code': 81064862045704496, 'p': 71}
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id: 3589795
{'charpoly_factorization': [[[625, 0, 71, 0, 1], 1]], 'hecke_orbit_code': 81064862045704496, 'p': 73}
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id: 3589796
{'charpoly_factorization': [[[-257, -1, 1], 2]], 'hecke_orbit_code': 81064862045704496, 'p': 79}
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id: 3589797
{'charpoly_factorization': [[[16641, 0, 267, 0, 1], 1]], 'hecke_orbit_code': 81064862045704496, 'p': 83}
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id: 3589798
{'charpoly_factorization': [[[-3, 3, 1], 2]], 'hecke_orbit_code': 81064862045704496, 'p': 89}
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id: 3589799
{'charpoly_factorization': [[[4489, 0, 155, 0, 1], 1]], 'hecke_orbit_code': 81064862045704496, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 19, 'label': '4400.2.b.s', 'level': 4400, 'portrait': 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MqQaEGSBSx1JIORT+AJhNFsmNbMT2Usd0I6A8Ew9VnpCzZPaZbamhPnFZEfsHkWtm+I2TQ3ZOPciM1zI7ZvMuzcrLhyh09NNTh6osXXnwp45EDKE8cTMtXlDS9p85YXGWpqjgPHpzl6xuP0hYxzDtyHFg03Xb3AL7xrhR3zU5y5MM2FlYilts9yW7LSzej2MnpDwYFjixw42b7y8YMXbjty8txFx05d+MItr/qe+J4vfvS5hsS3dPtbzeArK236scFX/Oo9jx550c//9sfk2289+KJ//pbT3sLKJpbbLZbadZbaAUttj6U2LLczltsJS6sZ51bh8JJgw/wqv/RDS7zg8jonz89y5kKDM4se55cM5xZTTi1kXOimTM8OefG1PV64BwJZI1Qh55cjzi56nFsW9EeQppoo0DSijJmpFA0cP5fS6cGuTT6N2ghjBIiA3kCzc/OIpVUPjJUiqz0YpWAwLLdjtm306Q4UQhmEHtGKfHZuGbLaFxw/45Fpj7mWpBkJQh/SVNAfSc4tS84uGc6vpIThEPyUW67q8aKrBRtaNZZWWpw8H3JmEc4vppxfTjm9DIeXDDdetcgv/9AKm6dbnDg3y7mlGgsrAYttyfJqxkonYaWTsdzVLHYlJzuwutzhN//5KP2+V9fvjeZ/XAeNPfcqkf18okPCqPVcQ+VZb39rGfwDH/oYt77wBn7mX/yLX/nTj33ln//+n37p0n0nVi86dLovX3xNj0u2ZmTawxiFMZa9MRKQgEAIgycMgYQzSzUeOCS5dvcye3YMqUfge5LAVwSBR6MmqfuSfs9n/7GIOx4JOH5hRCdN2H9yxKa5Zd744hWuvbTLjXvaHFtMWewL6uGQI2cM7U6Day6RrA4z9h5TNOseTx+Hy7YahnHGMAvwvISZJuw7GaK8DF+meD4MRpIX7Okz6EuuvTSjM8g4fqbJxZsVjXrM6siwcbrPSq/Dn38FHjua8cTRIbu2LnHdFR1mZmNef0uX73mpYffmJlkyzdHTUxw+5XPynObUhYRTFzIOXxCcWE143uUL/NIPddk0Pc3Jc7OcX6qzsBqw1JastDPa3YTVXsZKz7DcE5zvK1Y6KTftWeTdb1qQkcdFF84fv3gwSG8OGrtrtfrMlx75+l/ze+/70+caMuve/lYy+J9+5K+45opt6t6HDv2bI8fP/atHnjymzi7HLA4VZ/uGa3ed5zd/coHrd9c5vzTDUrvOcjtiue2z3PFY6cJKO2Olk7LcTVlsw8kVgVcbcuvVy3zvS2Mu3thgtdfiwnKNheWAxbZguW0lwkpX0xloOiNDf5gy10rYuUkDgtA3nLrgI2TIro2Ki7catm7sc35lxOMHmzz/MkO9tsJTh2ZpNmLi2GduRjMYwpU7h3z4K9NcsSNlNDLMT0mSbEAzCnn62JCa3+D6y1OeOBJzfilg21zIxVtg5+YYpRJOLULgG4Qw7NqUMtOUdAchvb5Pp++z3FEsr8JSW7PczlhsZ5xrw9IwY+e2Ht/7skVu3eMR+S3OLrZYXIlYXPVY7ghW2prVbsJKN2O1Z1jqwbmu4vxqyguuOMdv/OQSl21rsNRusdKJ6A6n8Gq7syDa8iuJvOSXlT6TveTl3/1cQ2fN7W8VwA8eOEAURbUzZ07tfPixp99x9Njpf7//0CkGsaQ3hNWBZZQz3ZQbLznHf/rJZa67pMaFlRmWVuusdCKWOz4rHY+VDrS7mtVuyko3ZbljON8WnOkZED3e8pI2r3+B5pItEXFcZ6UdsdoLaHcVKz1Bty8YjgxxasgyUNIQ+lALDdMtw8bZBM8fcvhszJOHQnTa4LU3x3j+Kg/vneKiLfC5B1Jeck3IhfaAyFOkWcLsDKSJj+enLC3VefENHT53X5OLt8BDB0f41HnNCzSpGPDk4YyjpyI8GbBpxmOmIaiFgiAQKAGphjgxDGPo9g2rPU23r1nta5Z6hkGWsWt7n9e/sM1bXhSDbrK0OsWF5ZrV2x2PlTasdjPavZRVB+7lPpztKBY6GTdefp7f+MkLXLWrxsLKNKvdOu1eSLfns9IRhPXtRM1N/3rz1j1/sWP79hPD0XBw2eWXP9dQKm5/awB+4thBNmycDw4eOPwjBw4ees9DjzwmFpd6cjjS9Iaa7tDQHcDqQHJhIDnbTXjBpRf49R9b4oZLIxZXp1labbDSCVntBqx0PVa7gnbX0O5lrHZT2j3NSs9woSs429bMTPf5jhu73LInZdcmRavm0+lGhL4EFHEq0VqgDfSHgNDMNIccPG3QJub2hxqM+jUu3RZw67V9Er3KXY9Mc/1lPgfP9WivtHjhtX2+9HDIplnD3uOGf/LmDnuPhWyaldzxiOLWKxXL/Q5HTs5y/eUxdz05IB3VueWqgN07hgzSHl98WEEmOHzKo1X38AT0BxJtBJk2JCkgNV6gafcMjWbCji0jXnRln+94fspcI+L88hRLqzVWOvbYrHQE7R60uyntXkq7l9HuG5b7knNdwWI35eYrFviVH1vguosjFlanWO3W6fRCOn2fbt+j21d0B4I4i/Tuy641F1+y+90XX3LJB5YWF+M9V1zxXEMK+FsC8CRO5Wg0eOOD933u0sEo/Y0HHnjYH8YwjGEwTOkPM3pDTW9o6A4E7YHgwkBypp1yy5UX+NUfW+D5uwNWO1MsrDRp9yJWuwGrPY92V9HuQ7dn6PRTOr2M3kDT7hsWeoKFHiTZiOsuG7B5NqPXN7zuhSMu2qxJM4knDXECdz4eceJCxJaZlKcOR6Dr7NmuuOEKTRj1efhgn4XFBldf1KA1vcJ9T/jcdFnEUn+VlZUWmzcbHtir+IFX9Hhwr8f2jT6LvTYry7PccGWf+57KmK1Nc/WlPS602zzwzDQ1r8GNVxgu3zkE2ePxo4KNswnnFxLuetxnmCikhEwbLtoS8x0vjOn2FFtnNDdcBnFcZ7ldZ7kdstrz6fQV7Z6k04NOP6PTy+j2Mzp9zWrfsDyQnO4I2oMRt16+wC//6Ao3XmYvjna3Rqcf0u37dAcenb6iN5T0B4JuP6M/SHneDTcmUng/89a3vvFQo177tOf5+rnG1nOeyUzjHpnu/dDp4w//5sK5g7MLS8s06xKlbKCIUZjiX1sLUAiDlAYpPR48sImf/wOPN9+6zDtfsczF22LOLbUIgxq1MKAe+jRqHt2apDnwmWp49oIZZGwaaQYjQ3cYsrwQceqkIU41p8+lhKEBBIEyeFLQHygEPmnf43kXCXZvNezc1meUdfn8g4p9h2Z49fNDbrhyhQ9+3hCIOhdt6/PEfYpt04r5Vp9I1YgTnwtdaEQe2zcJHtsXc8PlNV56/SJ/9JkBgd/kVTcb/LDPlx+I+dz9DZ45WuOSrXUu2pKxYSbm4vmEay7KUErjKQMY6mHIhumQOPHp9gOeOujbEoWBBWJvAL2hode3f3t3kNEbGDoDw+oAFvqK8yuG+lSbn37tAt9964jrLmlwdrFFuxfRLcCt6A0U/aFkMBQMRpYA4hTu/tqD/vTM3G/Obti0fNuLb/6/2p3+H0216s8pvp5TgI9GfTT86OljX//VY/u/NJuM+kRBgDHWCTEIQIGwS40QIIXtpFHSoGRGICVPHNzAowcaHDxzgTe/qMeLrhoy3Wyx3K7T6ES0BgG9vmdPzlAyGHr0Rx7DkWEYa+LEkCSGNLP3OA0wGqQS+J4gCgTTTcFMEzbPa7Zv6jM/0+YLD8Pdj/pIPcWrn+/zvD1d7nkmIR62uPV5gvZgwIWlBrdcrpmf7lPzQoapYqGToLTgeZd71JsjHtkfcdsNU7zwui6P7Fdgpnj+VQH/6A3LfOmxmDsebLD3RMTODYrNszVmmnWmmlALwfcMSoI2sPeoIMsESSqIUxgl2L9xlDEYaYYjTX+o6Y80vQF0RrDQk1zowkgPeeX1y7zxRW2+/1WaNG1xbrFBpxfRHQT0Bj69gaI7UPSHgr4D92CoGYwyRrFmEGsuHDnDyfOfn+0Psv/3u9/wUq/X6/9Bo/Hcgfw5A3gSLyJl8o8WTt71q+ePfXmj0D1a9QA10hbMAEIiEAihEEIgJQ7coJTBUwZfaWq+YLFf4yNf2c6XH+3wkmtWedcrV7nm4h5z03WWVut0ByH9ge+Arew9FowSSZIK0tQu9cYtF0oaPA+iAOo1zWwzYdvGPik9Dp5O+PO7Io6cbDAd1rjpKo9bru3wwIE2t3+9xc2XRezc0ufDXxEoEdJqJqz2RmgDSsCGVp9ON0CnNd74kgt85HN1dp+PeP3NfeJkibuenCPJIl5w1UZef1OHy3a0+fIjfZ44WefxowHbZyWzLUE9FAS+vQilACEM2oDWhiR1F2tiGCX2Qh7GMIihOxSsjATLXRDekOuvWOVd37HKS67KmGvVWOnUaXdrdPshvaFPb1CuBP2RZDCEvrtwhsOMQawZjgyjGFKtOHu+wx/9+R0buyN+9a1veLE5fX75D7dtmv37D/CFVYP0ELOHhVk886kf1mnvNzqLT877okstikBkAAg8hEO5EBIhBEJIlPSQMkMp4ZZnja8MoWeoeYKVoWKpPcNH72xw/1M9br1ulXe9apXrd7eZy2qkaUh/GNEb+AxGHnGiSFJJmkkyLdBG2CyoMISBph6lhEFM4I84vTTiMw9JDp0KOHpqBqVDdm8JuPJixfP3dFDhAk8ebrJtus7Vl8DmDSssd1pcs02SasMXHgwZ9SXTjZTXvGDIp+9KOHGuyRWX+pxdHfL0EZ8dm2a47uIF7nmiy31PC0ZxwJ6LZ9mzI2TP9i6Hzy5z6DQ8uK/OwSMN6p4g9CSN0BD5IKUlBmPsxZpmVjrEmaA3EnSGgk4CsU7RZsiNl3V413d0eMk1GVtmQ4bDKZbaEd1eSG8Y0B949IaK/lAxGAkGQ8lgZPtGh6PMevwjC+5BrBnG1tGJM8WFMx1+/8++uvHJwxd+Y3a6kf7r//KlDwbiUf7NP/vnf38BnmVDIHrJ0daDf6hWf2c2kgvzipB6LUTIpJAgQuBYG8vWUqCUwFPKPWo8leF7gsDTBL4h9A31IGM6EnRHPiudGT52d4uvPD5k00yfd7yszZ4dQ4aDHldfbNixWTFKfLKsTPMLDFJqfC/j+HnD0XOC1YHmk/fUOb04g4l9ZiLF1jmPXZs9LtkGV+/uoOUi7/10g+XlKW7e43H17jZfflwgUp+NM5JGPaWfBEgjwUiUF9AeCs4vC64ydV72/C73PlJj63zAzVfP8g/fsMgHPtflwf0NekOfpdUmF2+tccWWPi+4vMtbb+tyZnmZT94TstQPOX7W5/TpAF8JpLSrnjaGTEOiDVmqmZlLuPaqPqNRwp4dI972shEbpxSzzZAkiTi7ENEfBPRHdpUbFMCWFtwjwXCEXQlGGcNYM4ozK4ES40AOg0TQjwXDzOPMmQ5PffTe+Vfc0PrtV982l/zxp47+6R98+Lf40R/4Z3//AP7uX/oAm+ci8YE/e8/Fq8sHLr9o435ed7MPxiCFcKAuAS6FQUorFaSUKCnxlMBT7tET+F5G4AkCXxP5hlpiqMeGqShjpibox5Ju3ODoqQa//qezoFNEmvL8a/tcvDkmTUEbjTE2iSOFQCqB5wfsPxGw91BEI/JoBpL5umDDnGTjrMfWDYpdWzKu2LVKJpb4rx9vcfzENDdf7rPnooxB2uXrT4ZM13zmpgzTzZh6zUohrSXtoWK5Z1hqZ7R7NV589SoP7e2z74RiuhXxgqum+bE3LvE7n4BHDjXoDQyrXY/zyy02z9fZODNk19yQf/H2Pq16myeOwv6TEt83KGUQQgPG/s9AmsJFmzNuvSYlS3ySNMSYOsPY59xiwGBkV7RhrAr5NogFw5FgGFvWHsU2KzsaaUaxZpho954pmHuQCAaJoBsLVhJBN9FknQGMjkxvqG9/33/+P3enr3jF9R/9ge/4z6a2+X8Nk/8vAfi/+Y8f4epdG1X6r//oLe/9xPn3PvDocV71/Cku3txhz44eUtqTIoRGihApDUr6KGVQUqGUcnpb4ntWcwa+YuRLRrEmjDNGiaGWaEaJJo4NrRRGiWaUQpwKholklIUkWcS+Qw0e3weZMVhoW23sSwiUrflohnD1FmjVYKohmWkq5qY9Ns7Czs0jtmxYJTHL/NePT3H4yBQ3XKK4ZLtk9/YVvvp0yvmlKZ5/sWSmpYmCAaEMMUqQZhJhDGkWs9KLOL/kc8OeGs+7vMs9j0RsmhHUoyY3XK756bcs8duf0Dx9uslqT7PaVSyseMxPN5hp1ZhpTdGqJ2xoJOy6ISb0U3wvRakMKWwwYbAXVZIoLix4JKkiSRVxohgl7jGWjBLJKJYMY8koFjZAjQWj2DCK7XEdxRlx7DR9Yt8fxjBMBMME+gW4Jb04RQ/7PG/3Cj/9vR1uvfrRulHyg0tHI70yeP7HTx/4QLbt8h/5uw/wn/6VP6MnAvXlJ0++7diJC390/5MLUSI38bkHunie5Jd/bJUrd3RRMkMqbcGtfJTS9lEafGXwPYXvGfxYEvjCngRfMAoUcWKBniSGOM2sK5JW7hmkmSHLNJnG6m1NAe5cCnkSfB9CTxCFgnooadQVU3XJzJRg42zKrs19mo1VPn5vzF1PzrK62OLanYpdW3wu2zEkE6t84cE6Dd9jw4yiWR/y5GF45ojHNTsM/ZHiussSrt1tOHc2Y2ElYDCs89qbunztiQEHTysaNUkYtLjmEs0v//ASdz494NN3zrPUMezamLHS9phuKaYaPs26T6NmiEJNGGhCL8NTVmpJ11ppDDZhpQWplqSZIE0FSSqJU0GSSEaJdV7iRBAnhjiGUZIRJ5q4QhyjpHq34B44cHcSSTuB/ihBJj1uuGiFX/zxZV77Ak1/ME27cyrS3uyHZlqP/4N6o/6X7VPvyaa2v/vvNsB3tozsDzvvfOLo6d997OkT0XTNYzX1SKTkU/cp4pHibS/v8PZX9phpZXSlxpOZ09lWD/ueh594hJ5i6FumGfmSOBDEibAnJ1EkKcSJtA5CWtp+aabJMusuZMY5Jc4tyd0ZJa3sCTxBGEiiUNKoCVp1w3RTs2l2xIaZLqlZ5aNfk3zgc3NsjCKu3SnYucXnoq2aXVtW+PjXDcvLEXs2K2Za0KwnnD8mubASElwMo0SwYUoyPQ0HjxpWOppzixGXXRTxiud3+czdEXNNCIMAJae5Zrfgx19/AV9e4FP3zPDM6YhNnYSN0ylTDUWzpqjXJLXQIwwg9MHzrMMkBUhRATn2ws40ZJkgzXBAhyQzxCkkSWZJIdHE+WOine2YuzLOgkytJOklgk4q6SaaeBgzFXb43tcu8faX9XjVDdDpNRmMQpI0JB0cjDD6fcvtPZ429T/D8szfTYD/+Uc/SZrpH77ja0/9p7PHT7Zm64pRZhBC0BE+I9HkCw96fP3piLMrS/yTt/aZaaWMwohOP8JTAb7n43s+QZwR+x5BbKVJnNhUumUcYZnIsVKaQpJBllknQWsbcGlt8h5OB24LcBu4CnzPAiQKoR5pmrWU6WbKhukB8zOr3Lsv5kO319h/dJqLpnx2b4btmwO2b4Irdnbopx0e2Nuipnw2zCimmzDdHDEzlRIEHkLYi2swCljuJKz2De1eyoWVgJ2bm7xwzwVuf7DP/tMt6mGCrwKEmGL3NsUPvmqRG6+4wIdub/LAU9Ms9Tw2tlKm6yn1SFKLFKEvCH2J79tYRSmcfWhRbrA9rFpTAD3NtFvdnLWYatLMgjtNIE5NeXcJnWFqSaWfCDqpoJvCcJii0wFztQ7v/p5l/u/v61EPA9rdGqM4ZBQHxIlPknosnznfytTUf/Wa1wcP3PeZD9x86xv+7gF8cbmNkupH3/fBj/3q0aOn5lqRYJgZvMTqXc+BfCAlqyOP//QXPnsPr/DG23q87Poum+Zjup0ag1FI4KeEgc8o9ggDa+/lAE8SSZzaZTdJnaed4aw/HHNLtKEEt01SOuYGT9mESeAbokBTi1KaUcpMa8SW+Q7n233e80mfLzw0y/JKg0s3CHZuFGzbGLB9o+DirUO8YJWP3OVx5GSDyzdJZpqSqUaGlCNOLxhCTyIFGCOIE49dGzs8SEanr1jpGM4v17h8e8RbX9bmL78ccOx8iO8lCOGjTYMklTz/4hV2fV+HLzzS58NfmOXhYw22zQjmGxmNKCMKBKEvCHwbq3gKGzhLUdRkGOxFpg3Wacks4HOQp5mVdBbsEGe21iXOk0epYJBCN5V0UxjEmqw/Yvt8l5fesMKbbuvzups0nqizshoxSkLi2CdOfOLEY5S4PER8Zm7L1EW/cc3z36LiUfsPgvB/zsSt/ykAX11tEwT+P/z05+/61QcefnojGAJfgDBIcFlIgS8FPSnpyoh27PGRr0bc+USXG/Z0+L5X9Xn9zW3mpkMGw5DBKCD0feLUHqg8UEpTRZJJ0lSSZII0lWSZINOi1NpaUKgSk7s1NlmkXLIo8DVhkFELU5q1EfPTPQbJgC8/afjzr07xwFPTzAQ+12wzbJmVbJoL2LpBsn1TzCXbVnji2IBPfm0DU8pjw5Sg1RC06gntfsbnvh7RDKw7pA0MRh5vvHXEZ++3NTHtnubCisf2jU3e/KIeD+zrsvdgQCNMUVJYkOs6w9hq/R98RZvLt1zgI3d2uO+ZaU6s1NjcEkxFhnqgiTxN4IOnBEriEmT2787Lj7STalqXK1zqgG4JApJMkGQO2JlgmAr6qaCXYWOeOKZR6/PmVy/zzld1eP7lGZtmfAbDBp1eQJwEjOLynMWJdOdOYgwsnH1m48F9W371ostv091u5/3N5re/ceLbCvCl5VV6vR7amB/6yp1f+4+33/HluUF3hVqgSLXVhErY1LIU4AkIJIQSutKn7ytOdULO3F/n/id7/OW1Xd72igGvuXXI7HRAPAoZpX6x1CUO6GmmSDOXsMlKgGvjmFuXNWXC2ZBK2joOz9MEfkYYJNTCmGZtQMaALz0i+dOvTPPU0SlEEnLRjGHLtGF+WrFhNmDzvGTrhoSdmzucXOjye59ukI5qbN8umG56tBrQqicIP6YzaDDdtNLMGEhSyWyoSHVKNwno9jNWOorTCzWuuqTJT3zXKr/xZyHHFxp4KnEXhkeaRgxjyea5kOdf2uHaS3o8ffw0f/7VGrc/PM2Zdo1GqGgG0PANgWfwFXjSHnMhxqvrNGC0vegyLcgMpJmw/nkmiDObJBpkgkEGg9SQpik6GTEXDXjtK1d5xyu7vOSahKmaT5w0WGmHjJKAJPUcayv3XBGniiSRbqWVrHS6nF+6e2N/6P3HK6+5MV1YOPPHzUaDqPbtY/NvK8D7/QHNZuNN99z70O98+jN3tDqdNvWaR5IaZGaXydzflsIeeC+zxUyB0tQyQV8F9FOPC6OIT93f4K6n+rzgjh7/x/d0uXJnh43TilbdI04C4tQnTUuQZznAtUQbyxLGiCL9bplbuzS/xvNSwiDFVzGdQcJCJ+G3Ph5x9MIMj+ydxuiAuZpg47xhfkow11LMTftsmpNsnkvZtqHP3PQKX3hU8/Az01y7XTDTlDTrklZd06jFCH9EGHp4yn6+MZBlksHIYzBMSLWgO9B0e4bljs+5pRa3XNHjhVet8pE7ImrLCk8mFpDGI80C4sT2eM5PR9y4u8eNl/Z48KVnOL4g+dDt01xYrXNqKSRQkoYvCHIZJi3JFESeSxUsk6dGkGpItGCUwTCFWBvIUkgTpBqxdWbAtbvs+bjpyoxWzSNNG7S7FtipA7ZdYT0H5gq4M+lAbiXlMO7wzBNfmatF8ncuvvSGldFw8MlvJya/bQA/cvgQ27dtVn/8Jx+59Kmn97c63TaB75FlZTSvhCHJBCo1ttYjAy8T+MoQpIYoE9SVYKAEfS9kkPksxTVuf3iKe58Z0AhH/IPXtdk+l3LR1gG3XN3FE7ZFTAgrV2xW0tZKG1NhbgxCGpSwnrkhBZny9FHJQ/s8PvNAk6dPNInTOk1PsaFmmG0YZurG+uAtj9kpj7lpwebZlK0bBmzZsMJdT41472c2smXaY0MLWg1FqyFo1lNq4Yh7DyiGsYffsKAyRhCnkshTXH/5gPufnLaFT4OM1Y7P4mrI+cUZfuL15zm1uMT9j23Al4BI0FAAaBRLegOPmWbEdKvBCy/v89Jr+3zfyxfYd1Lz2QciHthX48CRBqnwGI0U/UShitKHauDpcgJGk2qD0RpfZEwFMREJL7yhx8VbhmyfT3jXa0bUAkmj5hPHddrdwK2kniMcVXjt9i7X3gub0q6yqyttHnrw3tap0+cv/Y7Xvk0dPnwo27370r89AN+37xkarangsUcf/pHQ0/8pHrRp1X2r6yoZSikFUlrGVilWImQGLwVfCnxtCDNDpAT1TDDSMMx8BplPP4vodjP+40dmMGnCpg1Drto5ZG4q5W2vGLBzY0ySCKe3JVSYm/w7SI2Qgo/dWeOJww2E53H8TJ3T5+tENcVUKJhuGFqRphVBsyaYqitaTcVM02NuGuanUzbNDdm2sUNmVvnY11oMeg0u225o1RXNuqRZ0zSjFN+P+cL9EaO+xN9ou0VzidKoKV77ggF3P6rpjSS9QUan77Ha9Ti3VOfKi5u87SUdHnm6zvHlJkpqIHF62SfJFKPEJmZ6Q492L6BZq9Oojbhy+5Cbrxhy8kKbY2dX8fyMx494/OVX6whlC9eYnD9oNKDBGJI4Y9emlHe8YsB8K+OKXYZNc5ClPqO4SZr6rHR80kSRZJ6Lgyygc4DbmEi6Wp+qAVAaAUmaVz/6tE8vEzWT//TIww/3d++++AMH9u+NL7/iyr8dAD9x4iTnzy9cfvbs6fc8+ujD0vMECEWaGpeVNKTSOHBD6lLwqRZ4qdWJSWbwM6sBQ88QZYY0E8TaEGeCkZaMMkmsfRINC70WX31CY8j46wfsyAaMdvc8i+csMpFXJEqkUqSJh9QevidphnDxBkPD19RDTT2Eeiho1CTNmpVDU03JTAvmplI2zIzYuqFLxgq/9VcR9zy5kd1zMFN37F2XNGsp9VpMoz6gVqsTKomSToNj5UCS+AwHgsEooztStmtpoG3LXCPg1PkpXnzViJ9++3l+8y89TqyGCKExJkFnhiT1iRPJcGTLWJsDj0YUUK9F1MM6UZjQrMU8/7KYwE+46bKUd72yj6dSlwTStt6+KsqdpNNaIoQk9BUQMBx5LK14tm4ny2Med09lGQO5wrUc3Dmw88RS6oLW8jXuufXYH3zwISmlek+aDL82HA2f+nZg838Y4J/+9F8ThX7t6NHDbzl48KAQwlpUJWuX4FbKJmCkMqgMVGa1YZqBl9nexzSP6DMX1eeRvRblay2ItSQ1kkx7JDokc7ZX9VZkKZ0t6UnwFUQ1Q+QZIpUR+hB6EAWGWiioBZJ6TVKPPAvwhmC6qZltpcxNj9g422PrxiXe+xnNh2/fxI5pxXxT02oomnVFow71WkazlnB2SXP4bEgU2Asa8ko/wTD2uHizZvP8kM4wYDA0jsUlq12PZi2iWZ/mXa+8wJGz53jfJ7fhSQ+DJtMZqTYkqccoVgxiWxTVjyT1oUct9KmFGe2ujTECP7MJMz/Dk7ZRQsrM1f0Y11iCq78XDuSCtnZVltrGNVkm0VqS6jLeSTNRCfDz55VHx9IluG2SKckEWZbnK+wxkVLy9NNPiuFw+Jbt23cd/vSn/nrwxu/6H2tk/h8G+JZ5FXQ6F36u1zn/c4JYhoH1n4WUruvG3jNpyLSr5c4EmZMnqQav+CNd8kEb99oU75XPy0o56+WKIlCqam7AaX/jAlqNJ3E1LeArge8Z6xt7giiURIGkFipqkaJZkzTrhqlGxnQzZbY1Yn6mz85NSzxwYMRH7tzKTBSyqalp1YUFd03SiDSNKKVZH/HAfnh8X51LNxine8u0+WCkuOkKw2U7Bzz41DT9kWEwzOgNPAdyn3pUoxZN8723LfP4gQvcv3czGIXWmS2HTQ1pYop6ksHIoz401CJFFGjCwCcMMkJP43kZvmezw0ppV8RmS4MRBkGp58rg3JYQ69yR0rn9WrFic2BrC+LyNQWw87slMPdYuWeZIdPWj19t9+Wx42f+TZwFQVSr/woQP2cA12lfxqPBL37pC3/6fw26Z4N65LvMobObhCAbA7gFtnJJhUwZPO2ea9tAq93VnBXZRyw7O5Brl4nLkxXGGCqZ97EVNw9u84SOki5jqagUbdnsXxgoolBRCwX1mqBZM7TqGVONlOnmiLmpAVs3rHD//gG/+EebOHFqmkvmNdN1aNUUjZqiEUEjyqhFCYE/pD20xWK+svFHfst0rkUDWrWEfqrpuzrr/jCj25e0a4p6NyQKm1y0OeGXf6TNv/2g5Ot7N2FQaKPJMk2apcSpJk4Uw1gxCCW1kSIKJGFgCANF6Gl83/r9njKuzsetqk6mCGHGG3Rdat84EjGuliVzgM90+WjJSBZMXADcPc9yKZKTmFuds6wksjTTaG0TTQePnAwSHf7Mj//oD/qr7d6/np5q/I3T+X9jgC8stllciX/l6ce/9s8WLpyMolAhE5vASbUFVSbtFaukIFWmvFKlBXfmwK3z51qg3ZWcg9t6tGC0sV3krgS0emcC4HnprcjBLfKaciuJPNeK5nuSMLADgKLQjmSohYZGpGnWM1r1hKlmzGxrwNYNq9y/r8+//cA8+0/MsmvWOizNmqRRl5a9a4Z6lFGPEpIs5k/uaCKVwpcGJUqbUJt8Cff5wVev8MWHY7pxSN8BvDdQdHuKdugRBSGh3+KKHSn//h8t8QsfENz31Ca0kWTaptWT1BaajWLNKLLlrmEoiHxBGNjMZuCZImPrKW1loixt2wLgZcrTkphxTosWzm1xgXwOYDd1QBfJNRy7U6y4+epcAtyUj1l+7t3zTKON4MjRE9Htt3/+TbVa9AsPP/wQN9540/9agJ8/dxRjzAufefrxmtApStp6ZCFBZjj2BqVxj4JMCrIiPZyDm+IP1BWGts8pAG9tP+NYm7zcGTPxvcreTVdnIimLqVwduQW4xPelrd8IBFFoZ57Uw4xGzYK71YiZbg3YMN3mgX19fvH9szx9fJ7tM4K5RkWaRB6NyNav1KKUWhjj+yNOL83gK4GS2tlyZZCZZZI0VWyZMaRpQieJXKeMZjDM6A4ltb4iCnwCP8L3ptizPeXf/8MF/uUfwv3PbCTT0gI8MyRp5phcMwo1USwZBqqQYL4PvuecKyVtLkDiZAoI97gOxq1cwSWFEEVySLvkUJ4tzrLK+7qUnFkF2FozBmhdBbd7tL8/5umnn9nz5u/+rt9J0/Qf/01x+jcC+JFnPsPsXK/+5S9/NQhUG6RwPrMFViYhU+4PyyzQtc7fs0DX2pB5FH/kOLBzGWIKoJtcjuTPn+W7SVEWUUkJUooC3EpK1yiRyxOIfAgDTS0y1EKrn+u1hFY9ZroxYH6mzcMHh/zCH8zw5PENbJ1WbGhopmqCZiSpR4p6TVCL7MVhU/0x9+8V9IYBkcJdZFaD500ImRYkqUcjUtxydZcHnm7RT6xMGYwy+gNFN1SEgSLwA6efp7lyh+bXfuwCP/v7cN/ejSRakmjtmqXLHsxRIAkDbdnbL+voPZXfcTKllHF5s8l6IM+TQiYHuAN8VjgvrLvyaidBdIXEssy4n68Fev47MILT57r+Rz9xxzUvfdmr63/04c/2/8EPfOf/fICbZB94W6ePPv2p35uqdW5Lh7HNImpRsHVxxUqruXVl2bKMXV7lWon1WbsCaF0Au2wKxmnv4mQImykV0oHbFRmpAuCgXMWg70HgYzuBAldgFWbUnLxo1kZMNQfMNDs8dmjEL/zBDI8f28jmaY8Ndc1UDRqRoFFT1GuKesHeGVGY0qwPuevxgNV2xMxMmSbPAaOdNk0yxcY5xSuf1+Ouh7Ttool1BeSSyJdEvofvBXheDSk1V+4w/OqPXeBnf99w3/6NJNojcRWAtuzVMnmYyKK6MPAknueKsKRAefmxofh++UWYSxWRV6VRJoQm77ryqHXlsVh5x8FdrezMKq+L+MuUII/7CSPdu23fwWN/+K4fettP3vPYsdUXX3/R/1yAnztzASFXfrbfOfhO0vNEYd2VWLqAQhu0nFiitHA6O7/Kyys+lx9ZIUMo2HsskJxkbof0PCNXaG+ZV9CVujuvGPQUtj7DM/i+bSyOAk0UZNSilHqU0IhGNOtDZqfaPHJgxM/9/jyPHdnExmmfjfWMqbpx4HbsHUlqoWX/KEyphzGpHtGNQ4SS+DmDFxpcOPZyfnHi0wiGtlwgjpjJQT7M6AeWwcNA2pp4L9+A1nDNRYbf+Mnz/D+/q7lv3yYS7THKBHGmHYsLokQT+rbQLfC0W71sy59yK5o9Pq4rP3+sFGYVF2Y11pkAd0FCFWKqgruIq0z5vPpeXqtfsHqu2VPB0ZOLyNqxdz7/iScOD0fxv/yfyuDLi6eYmdu26/bPvv/apLtCoHx85eZxS2kZ2zGz0qYMQrRxHSV5UY+pAFwUByrT1QMmKkxRZiVNdc3MWbsaVObLrevQUS6Y8jzXGeSKkPLqwcjPnG5OqEUjZlp9phpd7t+b8vPvnefRI5vYMOWxoZYxFRmaDty1yNqJObhrYUYUpLQaMXuPGe58pEEgJb7SLogrPYp8+U4yRao9Xvb8hEsv6XH4RI0Ndco+x1FGf+hY2FN4nu8qMa13ffUu+LUfX+Rf/r7ma09vYJjUbDIsNdRdDXfoY0Hu5auXLnpbpcqKFU5JUQG4qICcNXqlBLkZB3hRoViuvOutzCW7M87gFZmT28VhoOivnOWpxx669p/+1D/adfTYqeMXX7T92w/w9upZgmjqolNH7/svkVp8U5yNwHW4CyEsoGXpkxaBR2EvGXSWyxGxZknL/WFTeNoTLskat8Qx9yS4hUGq3BZ0NS/KsbZnCDyN72tCXxMGKVGQEoUx9WjE7FSflW6fu5+CX/vTzTxxaJ55B+7pmqFZEzQiUXjl1nnRlr0DC/BaOCLOMoaDiEjZi6xoqi4WH3dMMkmaelbLeyNGsWGQiArANUGQEfgevi/tVAHpFwBHwHUXC37tJ1f4j3+Wct++Oc60WwwbkunM0EwNkZs4EPrGef+5k2IK9s6lSg7wsglcFEOXcpwXCtGdlHxVLcE9LiltNWcF7GNAz61fJsBtChKQUtDp9Dh8bPFNX/zyfdlttz7v/zxx4syxnTu3fnsBrtIDyLh2c9Z//C2MnmaqGRb2kTLCafCSsXNg66qVpEQhSSyohVva8oTNuBSpAjw/xFVVmJ8Eu4Lk7F1245fDgWxZrO9pN2YiK8AdBg7csz0WVgb86p/U+eTXN7DYm2HDlGRD5MAdWd1dd4FlLZTUQ+MY3GrvKIyBmK88FrCSBMyFjNVjI8ZXqCyzzQ+t0OMVN/S5f39MNwmZKjrWNcHI1qoHngW4p2xDtpA2QYOBPTskv/l/dPjs/QN+5f2bOLU4w2DaYzoQNFNNPYUwsaOXA2UHGvl5oClFEQTnj9VAvXphClH0ihTnByYkZBXYlfhJV8BfzWNMgjxP4OVy1iAwRnHnAwcJW5vfEsvWn/R6g2PfVgZfXOkim43Lnnn68/+0feprbJjJ6A1d+tYNzFGZS+nmma+cwV0GLAd0obULUOcSxJQ21CRrV2WJO9A5s+Tp5twFUDnAlbHluF7e22n7OwM/I/BToiAhDBKatQGe1+euxzP+8HMtPnPPRmLdYmNLMB9ZWWItwNwnV+4uHHNX2TvB80bc+8w0/dhjSz3/PpMMnq9utpQ08hUvvHJAqi3AB4mwXet55/pI2+DQc7NhnL2XD7czCOanBe98eY9meIb3f27A3c/McS6p0Y8krdTQ8IwFuefiEGVcXGIcyPNjKMracQmSksUndxQspEo+ooJJbV7tHiprz3NGz9YJTrMKAeYWZGoEy4OAh/Y9wptev+OfftcrX/XoO3XnoJDfvEHimwK8vXycvc98hTCa3drvHHhp3V/ED6YJderawhyApSTTBmVK5ta6KklK9h6TI7nWdqvBODNUrIeqfVUMB2Ks5kW5ikE72k27mm8HbmVrMUI/IQgSIj+mXh8SBH3+9HaPX//jjRxemMUPIzY3BbNhRis0NEJouA77WmiznZFLCNn6lcytBFaeLHYyenFAoBSBLJs7qPwp+YWd127EqU/NH7J5esBqv8kgEW7cmo0VfD9zNp9ydqdyozaqgautfHzTS3rcdNUCv/ahIR/+wgaW0wb90KfhS1qercEJPQgURTOElyd9ijk0osgC5wmgKqmMi5Uq0BlbgbUZl5qlNp+4rzEbqtlrQaIhQbL/eIe77zv4Ut33ty6urB48cOgEl1+6838M4MZkXHvdiy5aXXz6vedW99Jo1DHG4HuZTcFrXbCR58BeZLvMuEQxuqxvyIPH4iAgKpJETEiTHNymZBOXfZNVgEuDknb0RMncmQN5SuBZSRIGI0J/wLHzKe/7bINPfG2OI+dnaNV9ZiOYCTOaoXGp9xzc0oFbFkmhyGnvMLAXTqsx4uP3ehw8XiNy8UnRLlZOXCzHOBirw5PUY88ueMNNXf7w83P06h4tN3skjF3coDSeJ93YOiog9ysny56HnfOSn/+BPtdefIrf/8wsR85NsZzW6PseDSWoO6AH0tgLx7lMxeqXH9fcPsTq8zLTadb65Dkx5aUThW++1lI0VRCbcZOhkCcO7JmxDRhSQDqs8enbD3HdFde+97YXv/h1SyudbypVviHAjUkAj+Xz928ftp/Y7bGEEAoptAWVlqiiEEe75t6cvSvPx4p3KMBvquxtRMECJSvktG3GdGAObPtYFnQpqZ1rkrN3hu+ltnPHSwnDEYE3opvFvOejAe//7GZOL02jVY3ZKcVsYJgKNHXH3PUifS9dnYqTJs47L8Ad2OzlKIk5eCqkF4fMhM7FyZNOuSuRZ2FNpSYl8Wg1PC7eHqPCId24ySAQ1BLDKAe4l7lEjbI+tsxLgNcLXhUbpvr8xJv6vOVl53j/Zzu872NzLA4aDLyIyFPUPUFNGcLUWDZ3fbKeLMsb8iznGiZnHbky6bAAY7FULkMqRFZl8SJOcwDPXFlGZmy5hzYgleLEuQ5f+fq+3aj69u969Q3Hzi0bNs8++5j7bwjws+dOgWptMAkfVfFX/VYjK6J3YwTSzfTThRaXtiinUoVWMLbOmbsCbAf4krEFZt1vYip2oCmAPSZPpKuSU5kFuJfhqYzAT4iCmMCPaQ9j7n1C8qe3t/jY1+YYZk2CIGAuEEwHmkZgqIeGelCCOwolYSgJnTSxiSHnTDiAB77NfB49a7j74Tpx4hM2zJoAM7+V6Wx77OJE4fser7ypy0e+1GP/qQaDyI5mGPmGIAU/0fixRilpfWspkEKWw30oj2emJamW1EOPTdMD/p/v7XPlzhEfvr3JQ3unWBg0GKoA3/eIPEFNQpgPWMrtVWlH6hUFa6Jy/B2TTxZnVRk9J6hJRyx/XWpvUWFzinqjNCcA91xjCVCKgA9+7gn/rW+84aM6XXyeSXoLf2MGF/4mefeDT9x83wOfmPqn33mOVjMiTZUDsnTMbZla5WB3gB8D94QsKe45sJ1EqTL4WOGP7dGxTF6klHVR7ml1t8FTmQW4ygo54nkJ7V7CPU8J/ujzLW5/ZIrldhNZi2jWFNO+oRVo6r6hHhhqAY61LXPXQkkUKKJAEAW4Cj3twK0Jfau/lTfiwCk43Y5sYsXp2/HESVk/Y/sgLchTLYljj00twWU7Bjx5IqWf+IzcjO8gxoJP5ZN180QNyInOnPziyW3IJLP14e945YDXvGCFLz/a5YNfaPHQ3hZL3TptGdALPAIlCKQglLYR3JN2lzolyotUCVf2uw6Dr6lfmWTyCqFpKoGnEWRQyJGsAvDEATwzkLllz2Qpc1EHr/+hKZF8982bN974eb7B8KBvCPAnD54OR4n83c99+Wzjhh2ad76qR38Qkmm7dZ8FsixBbUpGr4J77LnOdWgF4JUDMsYLY9LEUC3Qt7JEO82tUTKzA/FzN0MmLHRT7nrY43P3NPnk3VNc6DQQUYTf9Gl5MOXbTp6aj5MdUAuEu0tXcup0dyAIc/bOAe6lBEFKFMQYk/CVR0KOn60xPyvwpXY6VpSNvhW2MxULNcsUg5HPrk2CV97Q5xNfj+klPoNEEPm2XzVwXS/lKqUKv9rOUac8rkYU5ydz9zT1qIUj3vHyAd9x0xJ//bUun72nzl1PNLnQrjMQAYPAw/MVnrAjPXwp8YVxUsugEBVpOG4frkPmYy5YydyiCECzCca291Ka5MkjjOvW0imMYl7z4kV2zi42BG/6XeJjVwKDvxHAH3ziSRYXupze12fvSQ+v1iVKDUnmucbeHOCqKIrP96zMZUn+On9v7CSA7Z1cpyZwLKCsAFs4/a+kRjiAe15G4CVEUcJwlLH/NBw7o/jzO6b4/EMtLqw0wI/wWj51JWn6hqanqfmGmg+Rb8Ed+XYmoS0zlZW7cD83DuS6AHng2/a0w2c0Tx4NwffdMm8qKXoxhoJqEJZleceLHed8zcUjrtreY9/pOoNIUE8FYWIYKZy1px17525KbkGWWqXw2Yukm3LTB3yGsU+tNuKHXzvijbes8sWHe/zFl+ocOxOx73SdeDUkDT2GnodUdqqvAjz3mDN5IV0og/81t8JNKUGtKUGtoQJm0NjG50K0G9dcYFIgs939w5Rrd42Y2tBlafHAtD9zy/d3euYPW431dfizAjwdHhVxPPinn/vsb8+L71/ipj0JcWzwohGBStCxJI4VWisL8Jw1CkBXgS1L3Y1woKbyOAHvPFIvNJ9NalhJot0uDxlhaCepplnGuSW446seh0/VuPOBGqdXahw+04AwRNU9Ik/R8AwNT1sXwbeD8yPfjmuzIM7v0t2VAzhOcztw+xmhb9nbXlgxRxdg77E6vhy3BwuJQlkPXjgKuZOiXV9j6nPVrgGXbezz1JGUfurTTAQjD4LUzgRUFYBLKWznVIXJYdJ+E0Uwm/dRJpnPyA9o1WJ+8NUjXnJth9MrHb7yYMCRkyFffKTOmaWIbOCjpUcSKISUdqVwXfkSl/GEQrasB/KxQJNqljp3W3KNqit3x9g4gCcZJBrhpagw48F9Hr/zFw0Wu0enf+wH+j8d+On716LomwBcdz6OR/rOV9/yTAOR8vsfb/Jnn6/z8hcMueqihK2zhksvGqGMJEvk2JI4DvRcijhgV1g8Z+vxb2YqEXvJ2oUUURl+mJFkhiMnBU8eUdzxQJ2njgY8c7RGZxQyikPwA1TLJ1SCuoK6p6lVfODQy+s08rJZWxceOlkSBIogkO4CMKX29jObWfStzo+CBKNjzi9LRibE8ySBNHgVm22CwAuQZ0WAbvsb49RH4LFhNkaqIb3Ep+8J63QkZcGYp/RYBlLmJjVAPuwI4eKksrUsH4zkZ6oYP9EfBWyeidm5KeH5l4wYxAP+wdE2Tx0LuOP+iCePRhw5EZGkCkKFkQqEJJOVbFCRpFhHq4yJ89wHzh915XHirjUkGo+M3RcnbJtN2XNxzCteMKRVM/zex5vc/cApznU+ie8/+4bd6wL8P7z303zg9gvqtt1fFB/+ouITdzZ5cn+EEHDHg3WmfM3O7QnX7Il59U0jXnF9DMa2RdUaOJ0tQQtSB/48kBxj8OolbyygcfNLfM+A0AhpSGJDf2gZ/dgpyZ/dHtJPFI89E3HoZMhiL2CUBeAFoHxUSxFIQU1BXRkihR1nplzhkbKsHfjCJj2q4PYlgZMlYQBhgHNNbMrc9zSBn7qMaEItirmwknHHfU3a3ZCZKYHnvPi86Es8G7PpSkCoJaORYn5O8ZpbhnzxoQEn2g0GvrQyxQM/NfhJ7lk7j11m1i6kOutEFp+hjTdWMpFlkiBTZJ4i9e3YhyTxrZXqJzSChJdck/LCK0e8+aVDDpyUPL7XZxArPnxHnaPnfBCS/sAji1VevonxcoBPWEbV9O0YwAGjEZlBaINxwK41MnxfI4zmFTeMePVNQ66+ImHX9pQpH+ZbGiFh+7zmU1do7j/2qPh3P3WNes//+eE0nPuBbw3gAljobnzPD/376eueOWjoZwoim5Jd6BkWtObosua+pzQfvSNlw2yK0YYbLo95x6uGRa/dhinN9dfENCK34hhR5MDEOp+aD+dp9wWPP+Gx1JHUIskDe30+/bWIYaIYJoqz5wK08EiMjxY+eB4i9PCkJFCCSBoiB+xQGUJlbA245zxfr2TuIO/LLMCtXI+mKNg78DVBkBdoZQV7B0GCUjFffVTxia83UYFn7bYx/f3sDJ574VmWOx6K4dDnjbcO+OS9HT78lSl6aUTD6XA/1+FJnpQxRbeQELIAmP0oWdH6FYBrN9rBs0zue4rU8/DSzAJdZShlB+nPRCm3XpFyyxUJRox428v7DBM7zu1TXwt5cG9ALRQsdhSPPxXQ6UunkgTPKsqLnSdsa+D11yfMT2e26SHTvONVQ66/LMFo2DBjmJ3ReLYow1qqI6sCrt5l2P29PZa7J67bctEt7zFG/MS3xOCrqx2mppqtf/+ev77i7GpT9ZUAz0WyaDvrwU1BGmnN+bbm/KodGnPgRJ1Pf9VeiSYzTM1obr4uplmzdcDrpierl5VzHVZ7ioeeDOi0FdKTdiaK8SwzCQ87F9gD6SGlxJfCglkaQqkJpAVCoCBQ5Yw+C3JRNjx4thEgbzyugtsyvCur9XMGzyr3lNBLMCbm9GJAPIoIpySBS3srV5U3lsUUlORVsU6L7nStiBOfmaZix3xMIIYM0pBBKqh5dghmXkOSJ7SUrJa3yuKz7GfkrpYus6dau7r9UhqlaebyBsrNZU9J0gyV2FyCpzKkTNk+r92Kobly55DYDJCept0WPPSkx2pfogrFMh5Uj51pV4zViDQvvC5hakZjUruy15Q9dlbmKnTiE5tc+oqKiSHRmSRUNdXtcsXsru9rDYff1Ymi8fqUNQA/eWYRf2HlN44dPPJylfSZinz6rtNizLKZDAzQpMbQzpcgpemsGs5+tVH5E9cDeFW/uZMjBDrfcgFXcypUGeRI6aysHNQu7SxxG7fmvnHl0XOd9Aq39R4FuG1blyJw4A48ihJTy+COxT1N4LKjvp8QhgknFzUf+mIDvABfijLALOSJWMPgVX84T5BZsNnBOnHi867XDPjruwY8c75JL/Opp3ZTWlsFaMpOHJXnBKrBXl66mEshWSnwyu+6qIXxPIWf2XkpvgO6kmXSzNaNu+dCu8FBGZ4wCJMxX9d854s1CJcIBBD5/hnrnPOixkiAVmSJRz6PJU0kCbnNaR9BlCZGYUsrksSnO9CI0cmXhzMnf8Po9Ke+KYN/8CN3IKUMjhw/iy+h4RkEgqGxsy8M0kXAlXU2BztUwG9AGTK/Au518Z2zWw7w8eBFSFm0oCkBvrBp5VDYakFf2teexNVUuO7xvJDIozIHBbczW9lVXwJcFrIlDEzR0hYEujI4J8V37B14CVLGHD8nWOhECM8jlIzJE1n9syqnuyodxoDnnI449Zlrjdi1ecC+cyMGmccwgzAT+JnBT50OTymcpTKFrsY6FfLYzk7azbuqREUaabxMkymJ8vLty5UrVrPbyihZ3oXUKAdykX82dkqWkKZwvXKg5w7YegAvk3tlXJabEozlT6QLmvMsuSwmbGktSbpnOHfkc8F6CmENwAfdo7bIfDAgzqwdFCmDMpBKUWSbdDUNS64+cuBXqeobyRJcV06lsF4IJGWK2E6lAl8YfOFA6yRA/rx4z5F9WQpK0WAbKGHBPgZuaR+DHOh58OnAnXf/eLqQKL5n9WkQJKQkfPbeGucXavhTiqBaw1F1UJhQpNXUdaX6Mk/6DEd2gu3rX9Tj3ieGdNKIvudRSzWxS6crWRZE5QVndiOv/JPyQDOv2sytQzdTxUCm7Gd6WpAqgZdJt4udreVJHdDLZJouEmxS6krizT2XVXA7m7fYK+ZZzn+l0I7ChGDMfZu854lFYwS+p+kNuzyx93S5ejwbwM8d/yhRVHvx/Q/ecdPd+4Z0k5CGb1nT6iJt93nJEwkwlnotvhDffOOVQpDkyQIBKn8UBg8Kq025lLGdb1JqXJUDOx/o6eRJFdjFHBSF7UdcD+B5wJnrbi+XJcbp7fFa8sBPCPyYc23NI4dq4AV2BLQ0RXq+YHDGWTxnrtIHrpaKysITTxKfGy4dMTc9oL1Sp58q6gr81P4tKrMDlFRSBTgW5MUHyYlKTeH6Jl2Js9JkWuBrQaYkmdJkSpA6kFeL1/JyCJmDvALqvGRCoB3IcSXNeSa6TNqNFWOM1a9U2bzyncdAXr62q4ChFqacWVrm9se33nTTLd/x4v/2kVvu+al3lt33YwD/6mMegc93fune6PoT5zpupoebl1EY9Xmbkhljb10ENvZ3adYqEuHsk6qZlF/leVasBIcpGHyyhNPLayNcDXhe6mmbi/NOFStLVNG9UgI7b7617O00t0eht3NL0DJ2CW6/qE5MECR85msh9z7VRIYegRR2/nZRQVidz1Ktoy5PasFGlQrMTCsyrRgMfW65esAbXtLlfZ9pEmchvUwSZYZRilu5qlV/2sk5PXFBPRuTg/ak64UUBbgzJVFKW0aX0o2W0JVS5GoNkClBPpZtzpk8X6QrMlWsJfPqyL2yhiWXKRXZUvk73GJPpg3zU13ecOvq9TsuXvlOncX3rMvgB4+cYnam8Zr3ffjLP/D5O2O8LKQW5FfmOvUFUKTedSUdWVUkhrHrtfhSBYM7cOcAkBVQSMqah+pog5y57RYk+Wscg1O0YY2xuOuG8dU4uO04hQnmdj2bgWtv87284SCt3BNiEv7iKy0yE6KK7GU1wCz7GnNnY0yDM9Gup6WdDpXlwaaHwOcdr+jzJ58dsaoTBlnEIBP4KQWLS2mQqSiKzqxdOLl+SkprUlRALsg8N7pBOZB7BqWtXLFj9mwFo80ej8+bVG5CbbVOKK9VKZpSCqCXUmUtwMfX9jGQFz8vwV69pZkk9Ka4akubWmPwA7Nb33Bnr33qi42p7eMAT+KEwSC+NBt1d0e0abQCtNFF0fpkxZ92n1xNtVcB/Ww3ISpMXpEnBdAnyjMLLT6hOXPQV2d7KCVKLe4q7saG3Thge0qUTkphB9qOe9uYbBxzlwGmV2Hv0I955JDk4JkIo3yUlARS403WaVQE+KSLkt+LTictKn61BXmS+uzemnDVJT2+fqBGogIGqSCS4GcGLxVOvrkunNTpcKSVC2MfKSosLirSqOycyWdCekoXMySVk34luPNaIOPKBHImp1g9RAXciHxi1vrsvd7N5M2rlIHnJNBLwEPfhIxGKRv9ePf05uGlWZZ8cQ2DLy2vMBoNyZIhzcjaT0kmioNQ1g2MV4mZyS/2Db52wdxVJp8EegXcqqj5Lm23UrII2z0vSnDbIFMU3eJeAW45BvDq8B/bbU8B7CJbWTB3RuDZxI7tCkowJPzlV+osLdUQoWd99+pFOFmDUpLTmEWYN99W67gLb1orksRjflby9ld2eeRQi1EW0VcBtcxq8bycVUkcuPO1QjtPvBoNVbLJ+We6eY+T4xoyLVE6X5FM8VwW26o7DS7z/Y5yaSLL5ohJBp9oWinTfWsL7SZVQLVmaSyecISQZJLBQBL1ErqdZdJkWPz3BcA/9lefQinJwuIq002PUWK/XCaqbWUlsMceJ0D8rOzt/q+UJxOPVUBXWXxsvFjJ2LLK4EpUWDyXKxLljQM88NwAID/fOtBlOD2DX6TitXuejd09ZTt3njkOH729yUgGKKlc9nL8QpzMYK5ZlivHclyHOy2eKdLMI8w83v7qIX/0+T5PHKmRKJ++lASZdu6RQGamcpyMbS8T1fVUu88a37eoyuSZBq+wEO1oa+VKAlRmymGdxVyWMj5LJ/S4PZ/VYjkqTJ6D/Jut9ePMPSZXKs3qmbabAA9inyOHj3Lq1LJN+1cBbswB4LL6x//ydy/+2v0rLCzbrJlyfY95cFL9UNaw9zpgrr4Wk8/Xau9nlyiiAM7kOGRZYew8yMynNnlevsmr095qAtx5+t7PG5O1nRlStIjlPZ2puycoP+bgaY9uHIDynDwxE+Wxkxfu+AEZH2g04YW7bpwy8ePR8AVXbBvyxMGYTIcMdECU2Zptz2lwJexGrjaxlMNBkweZJZNXs4E2beEVg03te/kIPk/jOogMUpcTAvLpWlne3V8YAGVwWQSeE+c7R8uahokxl2kcWOMuyzjAc2mXZpKTCxkimrn4h//Jj9a/ctm7+q94wXYL8JNnzhGG7Vdv2RH87MpXV1juBgRe2Y1ijLXwqjKluJoqq8yzBZST7J3/TGDzOVUglMAu+xhVhRXV2FDNHOSUNdKqAuriuUvyKJwXbsFtAVwOBfKr8qTK3sr1dQYxy13N/++vmiwNIkToW3kizdiqUg7O+caac2yagK6cMC2L1H2aerTqHu9+a5cvP9JiaRQQS4+BlASuh7Ic+eAYvFpPL3RRRmvQDtzaJeyqzopwDG6KID0Hu5LCMbiVRFnholDIlFKHl+2EpUzJA8/SKhw7NhOr3PoArx6z3Cu3P5PCMD8dc2KhQ9Ta87N7H3niHh0P/rpg8L/41EFqUcgjT5/jrsc1M6EFQ7Xfb/KTv1n+Jv/G1RM8PthxgrUp09p2Tt6kRBkfTFMAWwqkKsePqQqoPSnxnCTxCoDnmlsXQaXv6QLcvpfXX4yzt68SgiDmz7/i8/ThGkgfKSVhXhpbsTaLPeLdH/ms1YSUbF7sVFGRKamWbpMnn2t293nTSzr80ecjtBcykAGhFEXSR0lBUgnoJplcVJm8mjWs1MRoBcrYVcG2IVLMdlRumGo5VqKcRVNOprV9nEKOy5PCWRnDQPn6W7lVzYxJDCoJtTDjlqs7EB2krgWRGlEAfNhvIEzAsFcjMIoon/Mt19eOwhQ++zcGdsUtsW/nhflmzUCZMc+4CCxFyeYFQ34zgMsS4KpSQ+25uhSfQor4qnRL/MpwoFJzW/b2PTu1aqWt+dRXmyy2Q4iceyIqwdizSBSEGD+O1SB90rYrelptMZF1UzxmWorvenmfT947ZKkXEiuPQSadPSmceyPKZmxZsmUObFvXYd/SBZuXvZFe7qwo99yNvdZuHHZ+3KsgF27nvEJKOnliV+eqHhcTckWMA1wYhHl2tBthi7Ry9i5Z38Yaw1gR+g02TDVpzjTRmR2n4T3+1AE2bpi96I6vPPDTnaUzbJyS+L5bZmWB1zUy5NluIv8y+XMmTnYF6ON3sb5EyRMnY8Aen/1d7XCxw90ZB3e+s0HO3KrC3GsYPB83UY6c8JTNXB49JjhwPEITIqRXNOeW1YPV+EFUXI3yj6/WohQgR1TkiSicjKLdLPPAeOzZFbN7y5ClfTVMFlgWz6xM8SouTsme1UKvvF5IlnaucWxuSp9cy3JuZDW2UW7XDu127igSWrIkowLcWrhZKrkmFxNSRUzgwRQv1pMpovKs8GIc0woEQhu0loziGqMzS+yq1396686XP7Z0/uAxz+iM4XC4WQr9ml5nmVYjrPyC8tMmddE6nz7+1oTennwsZoUwDvJxeSIqzoSoBJsloC2D40YBV33w6t1taa2q4K6A3O1X77vS0Jy9lXvteQlKJXz2600OLtYgKOWJX7Euxy5Y1o6LWMNKBXtWA87KGI6KFo9jj0vmY15/S58Hn6mD9kkzq8X9zGV3s3GpVDJnNVhyIDemIlEqckW659KtKjK/C7ctjSnGLWcKpM5XWFMQU5nwqT53gKy0txVtL1VwP4vrtIZci9oVKn+fot3rsHmXeU2SjDanmT7mSWn1b+jDdFPh+3azoHzO87oA/2YUDmPM9az2YH4QGNfapUwRRRnoJLALNlei0oRbAbebT1hu28FaYHvlgKBixJunHchTK09UQq0e8/X9ir/+aoPBMIC6hycFvhiXJpPfv/o3rwtwJvT3hGVY9cWT1GOq6fHmlw35/L19HtgfYBo+gywkEBQXmio+v9TBlbW0AHk1Z2GDT3eBKcvmmbR6XFdYOw/qtQsupRYV/S0qge54DFXq7jIusO+JAuhVcH9LAHdvlBtl2Qbu0chnOJKk2pCm4AWuLLIRCeanfZJMMkq0229FjIHbrPPh5lm+zBhbrwG4WCNP5DrPCykiSlBLVdm9QQlXm1KCuwR5XjZr8LxyhLLnNmHy1DjQ/YKt7V0pG2AGQUwSZ3z+vjrPnKiD7yOkcqByc0MqwaWQ4yd10jUqCKOosXA1PZVMZl4Smmvx3C6MY48rd6a89kU9Hj9WY5QGZNJnoBVBxsR3yb1wJhjcPpqJ74LKLzaNVnZisDFgpMAokKbU48WKKkHqyixDXa4achLgk3EJE8D/78h0Fl/dybt8B5FRIlhuK5bbmvluymCQ4p09+gnCQDFYGTIzFbDUzvAy+zFSmzG9+M2Ye9IxATF2YtdobtYDdc7Y1QCz3IGglCYVq7Bg7Bzg5eTUQqI45raMbQqm9orH8rnvgktPJYRBzFPHBV+8t05/EEDDR4q8cpCKPbhOFrPyd1apIa9FsehylYVVN6Wa8KkUYMWJT7MZ89pbR3zyriGPHwnBCxhqSeC0uHJNV1VpIDIKeUA24e2q0snxFKV0kZbN81UlD/K1sWCXuky0CV11U9w51yWzT+Y41gB8AvSTJPls4M4ftXa7JqeC/kDysc89QCafQpDhfe7es0gJo4GhvWqTDbgvYpSYCC7H+Xry89f1vYsvLsau4HVZXFbAXtXcBcit3q5mM5WzM/OKQtvO5Z571fngE+B2dz+fQutWMk+l9u4l+H5CajI+c0+Nu5+qQeSBtA3NfqWEd6w0tnqvvng2Bqr4ucaNlc6bkTOTzzUpgT4a+rz0mj6vf3Gfp49HpKmPEYqB8PAziu8kspLFy6+wPpNXh9grlTO3ZXP7WiC1KHR44ffnjJ6vto7Bi6GdE+AeCzjHQF66KusB+9lwXvhDjsmVgk3zmlm5iJaLCMB7bG/N/godE3lDGjVVsimUibBv+FHVAEGsYezyuVsZqgCvtHVVdxYYA/aYVKmm6St3NQFuVbl75SaoOaD9Cqhz58Q6JvZRqYTAT3jsmOSjX2kCAUgfIVTRRaTcRqrVrGvVEcqPlyiOSYUgclBRZe6KBjfC7oih3OiHYp94D2M83vGKAXfcN+Shw3aSQKIV/Uy4gi8HuiwHTqUOZAwedvVAMQb0/KfKgV5Lt59PHhTn2ls6Nhf2sTiHujKwU1Yu/rEEWClJyuP1zQLN9URySaSBr5ltGTZv8KlHdsdtb6pmg5E0BZ2V2UlZ+dBnw/V6gUHJ3KJyhbr3qExZndDdpVQRhUVZaLucOQpHpQJy15pWbjZld3YoB+CX4B5j7cpj3libSxWlUnw/JclS7nygxpOHaljv1AaXgTCVybHVwEqsCazWW+9Kmy4Huqi4GoxrcdfKppVzVDKPUexz9e4hL73Zsvggsyw+EgFDDV4mysAvy+1CC6hSotgvUK0nqi77SoJRBmkEymCzn0YgjMAIkEaUUqUSVJbs7c6rrl74lbnu6+RB7FGa0OJi/WNYvCNAGIq8jTbQG9pxGNoYvLywHMpNU8ttLMpAZT2mLt8TY1+kauYXP6v8YYV9NeGYjO8RM1F/Iij23il2L86bb8caHsqtS5SaAHdlKH7hnqgM5VUA7iRK4CUcPCv44OebjBIf6r6TJxStaaq6S3Bx4Zbxx5heWYeMqkCvypTq5gDarKfFPRqh5Ide2+czdzfYf9pefJlW9DNlqwwzl/zBIkBkouIilyDPpWcV4NKUWlw6jS61wUh7jowUFuC6EivlTK6rsdQ6K1sF0FWPvkqCzw7wdcCNk0WAFrbsV2AxITSo33/Pb25q1Lz/98TJ43vytq4icVLVvmL910VtiJiUFBN7VU7+LH9f5uOA3aMbD1wAd+Kej0yoetzFo1fqbuugjIO7uldPWUzldn/wkqKZwfdiMhnzR5+u8ydfnIYwBBWhlEddGWrKuHEUFA3OfqU1rsykVhNRknIyLGMBahlLlLZjftEKiWv8LXshlTQIo9mxOeb0ouThJwNSYScPaKEQwpbSrhf3rGFEU+VGMbaqFBdiXiZd8n55QTJedlDt7Fr3Xv1vKm5SMYWY8cdi5JuuSKhK/kDnvF90+tiAc/OOGzfvvPS2L3nHjp+YHg66rwtUShAEpdVVcvO4DFkvACiWl4qWKqSJGHtergxV92SiBqXK2mN14GZMe8sCDKUkURXtrYqdHiobUSkzIUnySsGcvRN8L+HAGclHvlzHzl+x7F107uefLxgbLywrf3c10BTVFwWAJsChq7Uh5VxBG3i6rKaR6EyRKafFM4/vfWWfT9xZZ+8pH2SMEZJh5uPh6kXyY505eGZ54ieHakU6uVS4wTJiUczkwCQNSGNlS667pbGfYbTzx7ULUMdW53E2X1eaVN6r4mztRbkWe5lj8VQIklTQGyTMr/ZeZ+Spac9XGVFgaDV8lJKVq2RCmqzj2ay1dCYBnn+5ajQ9IUuqOlaOP68C3HaR5Pq78jwHcl7tlmvwCrjtRFbtHq0dqJRG5X63SlEyRTl5kqmUT9/TYO/BUntLIa33XXTQsO4JFEy+FuXJKNVJ5fl4A/KYJ16ZSOVpYWtTZJnCjxOPKy8d8cYX9zj8kZA4UyA8MuExEAIvc/ZdTj7kjooY4+MiBHb0aIxAmbLgyEj7HVWVdYUpU/wCtLTA17lMqfjgVbBXgbwG7FWyXCN5nx17Odzz7zZKBIurGZmI8eamFCZVTDUUqVHoYu/4Z1M+a7/IelfauB00+QeuTQSs39wwztr565y1c7DnzF0AXVWZvNTdKg8i8y1OpMaT5dB8pTJ8P+HIWcV/+3iLofTJJ2iVXfNuBanWQFf15Jgd8Oy3sZEyzgvPW9iq3Sq6krqv1qdk2iPNfMIs5afe0uOv7qxz+IwHKgHtkQifgRCorHQ0ZDXYnAB57s0bwMsvOPeeNDY9bzCOtXNPXI+xuXGfo6VAmHL1WGsmOOBTArwKdtYBt/gWjqfWkGro9gyrnQzhabx8NrPnCaSRpBgyYZDGTJL4+ldPlaVE9UocT+QUz538WY8Bq8AWE6ydJ1LGwa1LiSLHGdwb87cdmMf87spdWhb3vZhOrHnfJ1ucvhCC8pw1KJ08MWO+d/G8+rePsdR4omvdE0NVk+aNB9UezTyFL4t70QwhFVnqsW3DiB97U5df+2BAO7EBgTGSkVbWNszy72EgE5QKuwT5ZJ5DOdS4+U3loywdHylNyeCmcu6cZWgKBn+WgLMCXp3jqoqhCaw9G8iL/lINaWZIs7yVTuAZbRcv5WpSjCsFrAYBY4Q0EeHm8C6+XPFcjC9FONBOgGGSuXNgl6xdTmkt2NsV3JeArjC5px2j60KaWDmiK1IlZ+y0ePRUghcmfOwzIe/9yxYj7Vt5IlQhT4qm4glLbEx3F5JsggWe5cTkuCqtwiro85S9cZt8VUppnauSao/IS/mJt/U4cDzg/Z+2WhwUmZAMtQ04ZUbB4GUBVn6yytR91a60oC4lizGOzUVZKGZJx5a6mrHEj5UxRV26w4OuktwYZsQ4fqgA/ZssikUtigO4zkzx772phiaLNVFgGCYl6AyCqkoZ++ViLeAnfe+1VtDa2oS1hTlmQqKYSpDptuiubhmoqq6DrkiVHMwVJpdldWChu4tHO2tweQX+6st1VkY5uC3AfWm1tyfG5cnYqpPbZeudkMrBq2rt/OSMOwNVeUK59aKeqBOXEqUVWnukmcdUkPGWV/X5xD11lroKZAJakWD1+GR14ThYnp3JbR6oTArl9Sl5sGkcixeAdj65Nkwwtj2fCGEZHidloLzg1sHSmFx5Nr4wZXGg1eCabt8QRBpPqCGImCTVpFl+5VSWserJqurtiSutAHAV9HIt2NcEZNW2pwIwlRER0oxp79JKWxtU5sNpSnBnYwFmHmTm+9x4Ffb26ymf+WrEA0/W0BXtbZsacnkyXm9StGZV2Lvq+Vet8PXpx7FnYaGVEmWyGcJUg04j7cYDzhdPMx9Pp7zwmpg3vKDPhz4bgIpBSIwQjLSHEsJuQZIHmqIE9aRcwZRMrvIeCWOPf7ErtawUikk742WMuY294E0FAzonsZytTf6z0tJ8VuYWa3G33tFUrj1RyBQjUrwnD8HKsuHUhYzpZu4OjCdhqudnrY1TZfHx55PALi4CaUqpMsHYQkywtxgHdumiuNfK4LkRY1I6x0Qap6srkiR3TGRFokjrnoR+wuETkg9+psm5bmD3u5Z20LsSlDs2TMQLa3R31Xd+NrYZJ57KOIRxX3hsq8V8C8axrnu7f459tNufbGpk/PAbetzzZMjh8xJEAig0kqGQlU2koFpGK8auwlImFf9fZDPdeaiyubDPczDnsiVfie3P8tnvwult9zzvzRTlc6rPq2wO5MOE8lrwKibzLLjvwdQmxdWXCObmDB7aQ2eKNIUsyz+4oi/dbx9bep8F3FXwVwGNoLJEjuvufOkqDnxRX11hbpUDfgLkxYzsyedZob1zFvfyccAqRckMz9mCQZAwyjS/9+ct7n6kZnvbpGe1t5S2a0eU81eK75qvLNWLeR0mr+K8ivW1GczStSj3eK+Wz1bLaG27mc4dlUyTSg+Verz0+TE//o4Ov/h7AaNU2gyUlqTOVZGumC7PIJI7K8UXsy1pVL6ffS0qsYHrrjdgpHEBpigugCLoLC56M1avIhx7VwPKSSm7npMyLmHGs5/SXTQ2my0RBBgT4bUaknho52JbSWH/UdXteLZlY2xJqX7RMTY3a4rfSxasDvZZh70r+8/L9eSJNEW3t902W1ckSmXsb6673YzrIriUKX6Q8pWHfD5xd51R7EPNK7R3wd5FYMvYfT1vf+z4kAec69N3tbCp7BSvghuMyqsMx2vFMy3tTtMVoKepR62e8paXDrj97gF3PKSsbYg9oYnwGOSrKDkLlgVZYFm4OqyvtAsrdSnSfU8Jyv19+WvjpEkO9CKmEwJdbD/oAk9ZYqqKG1N5j+L7ra8iiuPuiFkbGI4Enb5EhhIP8i9UppGrNSBrZMqkzp5g7hL4Zh1Ar2VxUdXbVW9ZVhyLXP8W+6nb14X2LiahlsD21ATQVQluz4E78BNWe4bP3FNn/9nIShNhS2JFrr0FlQlSZg24q5WXpYNSXfK/8S0fZJNbcpMp7ALca4YDlTUqUiqkzpDaIxl5XL454Q0v6fHA3oB27NKv2urxGEW+D4TEeeNjZbTlmmOwyZ3igpTWbVGupa1k81yquISPcDXkBdBFcd41leNnSoafBPoatn42DFbUggAyUW5ZiAFvFGckiRX+vsqH6ExIlHWumklWrw7RXN8TNsVqUFps48mSMsAsgV2CO/fBy+BSFoPZzRhjjwWUeSKn6qJI2ymvyfjjz9Z478ebGOFZ33uMvSm1t1zne1cJYEy+VZocvgF7j1XyMam/y4FLk61s+aa7Wmt0JtHS+uJKapLMRyrNT7y5z6EzPu/9hEeSliDXCEZConQ+SCLXChWQF6B2ugK7CBTwFy6ln7M5LrMp7O80bnU2BdArsR25fTgO7nIVNOPHUYybHdIuFxUtboPX3MYE6XbxsJv2es2aJB1JmnW7H2Q+xfWbSZKxq+pZgT2e5Rtj8GpQWXkv97hzZi9n4jnve8IxkTm41YQ8mdizXrm9Z6wGT/CDhEPnJJ+4s0Gv50NNrWXvoua7srqIMsEzJskmnucr4zfjcFNqgIocyLW4GHNPjGs6KIAuK5vxSqvFpfRIkoxmI+XNL+vz+a/VOHTWJRXsgGoyIRjYtcZ+R+3AbUqwmwLUzi3BJX+KBSd3UvLUvWVv5cBaypNxoJcB4fgqXxy7wnVZn7l15ThXsai1vRjSzDAio901eIHB2zQfEaiAlQu2HLW4gN0vKWcxm7EPWk87rQfq/Gcy11xikgHNmDwRxey70j0pwJ0zt6gOZs+dEz223YasyBIpnWPimNzzUkaJ5vb7G3z50ZodDi59C/AJ9s6LvJQQjAXDxVI7nn7OES6+GbLHCX0c6JW71i57mDspbisSq7t1KVO0JBMSlUm0UCQjj1ddH/OqFw44+TmfkXaBla2EIsVjKEDqyrZVQhQGdp76UcVZzx0VVysuKIBvhCjJ3thzapzsHQd6mVHVRbKnnJUjBLasV+TfpxrPCTcrqHx/8ijma1CcpPQGUI8V3uat21Yxw8/PTnvfnSSZq1obL2+sEPm49h4DuVkD6mqd9Lj+zsFMZfnKQV9h7ALYOdDLstFx52Rcf6si/Z5VnqdIaTt1ZJBy10MBv/6BKTLjlc6JVAgh7T5AokzLjzN41fFZn73HwP2NgD6R7JlM2VfliiafeuWKsUTpqBSaXFpvXGiPNNUEQcbP/UiH/ac87npQogPhIGv/gEQrBlQFlanIknU0eeGFu9U2/74uoMx1uHAXgKYcJWGqeIDSJ1/TBFHpuq8kfKrbhYuxA2uKclptDFmmQSjCWuPzO3ZsX1Wve9mm3mhw4XDgmx83OplgpLJYZqx8tRIIrlv5lwdjam3BVLVIqky953ZgmYpXk9WBlYCyKKh6FnBXpYo3ltCxvZanlgW//sEp7nm0YedlSNuOhvTxpKAmIZS4Ta7M2trtsbsrcyiG5IwPI8pr3qWaaJiuHLfytahc9Gbtcc3JoDIHUExKverPDMzPpYSe4YEnAlYHFf3pwsx8inhZcejYcgz438rVWrkQcuhVpJeF4uTW7RWJQ6kWyk2qyv9+ciZ4vtLZ1cym6ZPUMBppkCEnTi/88AMPP73f2zjTRyno9Q1JXC47AlsRNllwNabPGb8qJ/3ukr0ro7yq0kRUXZTqthjj0kSuo7nzHQbWvatqYOlKYd3zLMj44Cen+OuvNjCRAqEsOoWHkHKs37Lsb/wGHfNV9ll/7VzzdpHgGSfyUqbAWKA5Pr/QBZlufqBxzG2MLmtUhERqRSY85CDjLS8f8MwRn9/4A484TEuAC4HRPiNcYi/Pr2fWxDaYEpSOQY2zkfNxw84AssFmzshYNrf2YLkg5OffUAkwc4xkOX4ci5vK1zTj7D5509oUdSijBFZHpigz8Va6PkII0jRDisSBSmBceWX+D8ckSqVTuzxWk+OQqyA3ExKl6pwYJkfwjoE997uFA3hFe48xuMwqTkoV3BmyUntyx4MhH/hcg2HmpuCL3Bp0WUthxrT3uqn5KtCrF/1k4Dl2NtZnv3w3g9x7XpPRxKwpoTWyktmUFWdFKFuYJV1xltRk2iP0NT/y+h73PR5wx6PWLsy9caRAG4+Rtu1oRRHJpHXokFpIKSFQ5NKkAvK86aGiufN/k4NWSJDGjJGEccfLVCQKogzUy2m56x3DSkWhMdRDgR/YDbe8NLWbq2ptd8gqKcX+5txKWt8eNGWmcoLNxzR4nppfzznJAV61B6vgFuXOXmqNDtfjHvgke8usDDC9hP4IfuUPpzhyOsR45W7JY9o7l0iT0qwKYNYBcwHhCUb4BoJ8cgOB8YxmtfiqqsfX1qZo6SoOZZXFFSLTCOEhY80l2xL+9T9qc9/PhHSH7o/RsvheGR7D/Lznxd26BLlxTY/KpfJzh0W5gNJIXFeSA7OrSSmTPJWcQf5vqqTn8DaeKCyH5gt3FUz65EwcZmOs8FIiwwiDt3Vz0y7PepnllR4rnVmStFqoPhk8mjVfZK1zUs6MHpMpE2w+Nnp3XYmiKz54pS/RsXnB3GOuSWV3Xud5e15CmsHvfKzJo/si63nLnLlL58QX47JEiXHWrsYjk8ztIieqQzfX5xqx9q2KDCkbICiLmYwtZlpTbSgsgxdBp5YW5JlEC3fPnFTRmhv2JLz7e9r8lz+fJs4ci0MRFWYoRjrX4i7XXgF5IVFEJcsp7Aa9psrmEoQumVu6KbPGlLJl8piaQpaIIglEhdlLf3y9YVK2BgXg5ELGhlqD+ekp4iTDm9r+nURRi2NHH+CBZz6FzuaoR5LQ11aaji3J47KjepJhfLLp2lEBkw7KOKBLwJsJmTK+P2PJ3lmpy6tJnbG7CyyjjC/dH/L+jzVpD3zrATrPG9eka52TMmtZLeVVY997rf4unKWxsEwUr8UkoCdYe73lljH2rgC7YG03FTaXJNUkkLA2YiYV0mhbr5IqWpHmR9/W5+GnQ27/uoJ66pjafUMpSLVkSB5TlCA32NJYCtvSet4uVrVlvbmE0bncKOVLvnobQJpxa7WYRixBmKoKEIVaKn1y21WUs4zABumBJ5mdktSbbV7/+uu44bob6fY6eCudOlPUOHhihgeemOWaSwVRkF8d1U2G1mP00pOUlSVlzYVQlSRVvZ0PTa/KkookKWVKucOuBXg27ndLawXKYl91G1hKmSK9lH3HPP7bR1scWgpsG7zzu+2jLNm7UqIwBvL15MmYNFmn8nJ9Ci9l7UQtSsniZWKlaIRgvTT+xJCgvBDL6GJTWZFLFWEQ0kMmht2zKT/19i7HznkcPC0wXlVgCZA+mQM5EyDPIz5VaALnd+M2CnYxm6lI14LFJ6SLhUt1Tg6IbDK+MSW484sic78PFytWFqEwUFx5UYtrLmqyaSZkOkrxppuKRl2ybYPi0u0e9Ujge2WrmCdLa8oCeSKDWWHs8fqTCeaWVaCX8mSMuZ1UUU6GlExe0d1Ku9eTyZwS6EplSJkShCnn2oJf+YMWn/hKHeOrMh3vpMl67K0qF+Ba52RcB04GPlVGL9fRccCPsfYE2PP31takVHV4DuhqAJp3/khX1JQ/d8FnpknR+NK6Ku2R5Gd/U3F+VUBYpVuBwSuYvJQn7kLLHx1rKwlGO/lSuCnCBZnjTC6kdUtMpcHFVGWJkyamcoyrCqFkcTfizumYTNsMZn+YceCE4vILPtMbPHp9D1kLFfVaeG666X3x8t1ztOopUeD2q5lsJlCVDpuJn5U+dnXLudLDzl0PWf25qCZszLhDokprsKg7ySsGJzxvmQeTKnXPba1JjObT99b40oN1V2uSW4LSMXjO3uWuwdV5g1U2WVMWW9Hi1Yt9krkL8E9qkQm5snZ2iNurXVdBXjJ33umT6/FM54mfSmrfSLRR7j37PE09hJG8+gVD3viiPoFI3Viz/J6ASTHGkBoYahhpQawh0YLUQFoM6bdNvpkW9tFUtyJ0u1W4oDhzLkfxqHETjHEXppnYt3P89+U9l/m/z//7NDMkKYxizUonJjENegPzReUF57JMoP7zb/4Wb3/zrau+z6onR98/6l8gCvMdgsfn/Y1ZZ7IaIK5NRhSgFuV71cE2610QY2WwY1agKcE9wdzVjnjPgdvzUjKp+eTdNf7d709x9FzomhjKhA7SQ0hBKCGSdpC958bA5bPFy2ROORrOHoNyMH8x5VaAlJJiWxUxPqTfTuqSEwkxxo/dRBXnZJVldXWsdj/ZKQWm0LGT/3YsThCANsy2Mq68NOXkBcXBE55N+BRXY3m15g5IOf5i8t9MXsmTF7n7PWsXrXH/v/ozM/5Lxmrmcxcp37/V2O28Mw39QczOXbtotqb++dPPHLz/1a+6ze7RI0WMAHyVUI9SPE8WS8JaNjJjnmTpoJQHeMz3xr2uSpT1AksxsQd6LlNU6ZrIihTJwS0rAWVuCfp+xtFFyfs/3mD/4RCaqpAkNrFjtXcuTYo+SyY9etbvmK8Em8UpF+MB5bMdu/xfrJfssUdWTyR8ShdFFid6PH0vBWhtdx3OvXGRM7urJxBC26lXxnrjyciwZ3fCj7yly4NPBhxbqCxVRdBpZUiKYChscIkb4WZ0tQ6l1OVFjcq46in0ssG6JflFWMgYKH3yHFdFsievQ1nfIsT9+1Fs6A9S+v2Y0SgB3CZUG7deiefVkKSMugcxxma7qqnWPPiZPIHj9d0TYK9agi64zPX42N7mle2hc2CLIrjM9bimLJyqyJLiPcfeKmO5K/jtP2lx56NRWSWYZywduJXE7VBcHYNc6jxVAfN6tuB6wJ+0wL/VW7W7fqyqcIy5XFpbW0BpNxvQiAr4K5lOKQxaGIS2x1kLZV8LZS8jocn6mpdfP+L/eFeHf/+H06wMcmA7xGnhQO6RSlE4KDnI0S5jmAPekUX+HYs9r/ISF3dBCHcRVDt8zMQxLoJPU+KpoAdRsnlJApBpxUUX7eSFN11Lt9fPr1FoTm1my/Yrbic79+vNhiIKE6IgJfCzYjqUcj60qsoPuVZzj1X+VQPDSrpdrZO4UcrafaVbMtGVs6Y6MH+ejiV0htLwex9v8Acfa9JNfFtIlTO3c03s7L7SORkrqsoPcs7mE3mAgqnXBfP4nOtvBemT3fUFkPOfVd2Wil1YuihVC3FyMq0tp83b2/IBntqUe3A2Pfjxt3X5ibd0qel8xHD+mFhdblKMtpp85DR54u6pESQaO8vcOC2ev65q8wk9bTW60+Smoq+rGryivTM9rt1Tdx8lMExgEBuEF3H05NKvP++6Pbfv2rGlBPjs3Fa+fscv9fvdlaNKedTClFqYEgZ2QGUV3OUAnrIgaExDiyqwzdjFMOlvy7HWspKxqxagzAGtMidj8kTOOHNLmYKveeawz5/dXqeTuMmY5MDOfW9p5ZioBpVmrJtIVQD9bNnLYhUTa9+n8t98K0if3Ni0fC6KuvB8L8vyIqg0JRegluOvi1ET+XsK49rbtFEYrUgTRdMzfN+re1x52QiZpQWox8GelSA32KDTgTt1wC4CzjXB5iS4KyDPA9YJoGd64rkp7/nvSjIYpYJBLOiPwPM8FhaXjv7QP/53/Z07t5USBeDya9+EVDVWzt7BaPkukCHdQUDf+DahUNQnMCFDKtKEca97vAalmugxhSyp2oOlDi+ZvBpYSlHJUk6k4j0/44kjPu/+tRmePBhifFnKkoLBZcUWNMUgn8mdGtazBteTKWOJnUogVhWJ35JcmQyyqiBfYxfaegtb72GBK00pWbSwAa420mpYY9BGun9jJ2QJbb3xDAPCIGLDdZcmvOdnV/nx/yB48pALTmT+ZUS5nDi5YrAADCr2oc5b2pxEyVdF64+XdSz5r821eFmzYgqrsOo+Tb6XB5qphn4M7ZFgMNS89CV7+MG33kanN+RDv/dvSgYHaLSmaU7N4oeChV6b7qiL71mhns8prAJ0rAJQVLptVM66lSKqguF1IUXG3ZIKi68nTWS2Bty5HWjBrekaye9+vMFje0MyVWFtUdabQMUWHAN19e8pWXly7uCasRBjYC9Z/RuUn6wrT8YwXsliTrL6WmZfK1mq+23mk2nz+hQzMRnLWoh25wiRSW64csQ/fnOPpnTr/zosjrHeXqYhdmyeFKztbERTSpasYOMKW1fZeUyWiDG2zjRjzomuyLWccEYZhI0hrekuYcNndn6embnZ4rgWDB7WDSAO7T9TP/yrH9y1e64x5PtfGVEL/GIcQOkg5AUyFcbGRuo2aB9P6og1TF1J9uTvSY0SunhudXxWyhSRuQvDgV2kKJHh+Rl9De//RIOPfqnBKAfzBHMjrEVXFFQ9C3uPZ9K+SYKnAHBJAGuR/c3kySR7l+WpkzpcQzHKeNwbzwGft27JgtWFEQhXoyKMtKlwY+xz7YJOY8gyQyAMb39Vn73HPd7/8Sa9BHvAtKPC/NE1sGValoGkS9XbGhnLxkrktSou4ynWJoGqtSkSislY+epv3N88llzMz58UXDIF3/PKAZdu1yzD4fYgOJRkw+KY5m12/NIv/Vcu2fPqw/3h3MbeyuBlcTclCpqEQWXAfaWhQQlsYiZnwEJfV/zuIjFUTe5UA1JX/loppBoPRCvWYAXcufb2vJReAn/4qQb/4Q+mOL8cVLpz8mxl/lriCdvIEIw1MuQp+mrzRR5XTKTt5fhekJNbrIxtEiDz3Q8mNg7I/61cK4WqTRCirGYtBuZM1vdMBsBlrYwpATMWJ5i10hL3visJmG5l3HhVTKcvePqwR5xWLCKRa4byKjcIa1dSlWiVC1uUK874zyYaIyYudlzsUX0//3uUG/fSiASXbPbZ0KozP38p1+7Z8zthdux9111701oGB9g67xOE0Wevujh4U2++dn090mRuqStrvsfliRi755Zg6XGLClsLMc7iVc1dZW4pJgLM3BYUlfJXlSEjw19/ts6vvq/FuWUfArUOe49nLH1RAbKY2GfHHfr1ve/S5x4732OnTHwzwv6mbF61v0qpYgogrE3d21S5nSol7DbaogxMhSk9cSFy1sY9Sgd6y+JojyQ2bJnJ+Fc/2mGpI/nwZ5oQORpdw+T2ppEk2ORLICpFVy4TmzM4jr21A2mx309RhMUYswt3cYyVbOfHW9gyge5As/9EgPbDx7ZePPXZwWAwdkxV9cWHPvRBvvu1l5+YquubQ3/0/NBPCQNd7C9Z7YMsMpnVoTyqrOGoOhN5sVR1UM+k522f68JdGQ8wx8EtZYYXaQ6d9vi190/x6L4IIjXO2KJa6y3wpS25yDt28r3d12tHm2x0UI5Fx5h37HXJ5KJgdreZ1rMwuKiuBNXVcYypRZFQGusDlVUiodKJvrYvNsdhXgw3lpzL/5uCIR07a8PUlKYWGe57wmd5RY4jZU1VWc60othSZD25loO+usdEHsSayr8pLuYJRq86WfnKpjNDkkkGsfzMg48e+p1/+CP/YOy/GmNwgC1btiGEYOl8j3jUx/dExQu3cwDtjJKqvq44JRjGC61KWSKErlQV5uAuEzkFwIVG5MFlrr+rZbCB5vAZj3/znmm+8nBkdceY1131vq3nnY+B8CZS4UI8i1So/htZOahVALnDnmfbqqd7reOSM9JalyQ/gdW9cNaMdMv9cUPB3nZTVuuOCGM3hlqvKEtgAz6hpUsSSYR2MZOWechKJhRoCzc9NLzyxiG//O42v/CeKY6cDewSCEUCyOkSdxUpDILUfX+tS7cqb0iWhS53mU2n1fMETj4Vy1QkljFu7olj8/z/0wxEYkhTQ1gL2LlzB1qvLfhZA/Brrn8ZUnrx048sceHsMr4nyl2BVamThWPewgpkXKasCS5ZJ8CUei3Ax8CdVeSKc018zbELHv/2d6f46O11YuF2oxLV/soS3BLrmJR13utsvz3R1DCmWyvgLABc+TdVO/AbCYmkGAAALfpJREFUqpPqDyfOQw54QRlUjtNZpWQ2f12pEycH/Vhms2yEkNppZWFBLopMaA74MorNJUuqDZGX8o7v6JNp+IXfmeL4BQG++05VcI9JFnsx5Sl6XG+nxo55M+5SyLObub1YyBNT2oZ2CpabiCXyLv5ypAXYc7dx02a++42vidM041/8s28C8ObUHMqb+pmp2Uuu6qycerkSXXzfbsenVAnGHMj5h4wvkbrC8Jat8wugdFPGgW1/lhWvlczs76mm4b2M4ws+P/dfp/jYHXVi6SrBxHr3asayMrzeMcOk51363JXSgwpyJ/3vMVBP0vbf4DaJ62pd+Nq0vf3QfG+fnMHHGyMo9feYDq+CXBYzzgT5mAdVNBSnKfhexve9doCn4Of/6zTHLwS4OczjF6E22GXBZos1ghhr//lS4FdgmXf2SGwNSz4QtNj8itL3zvKacdxYCEGR9Mq0Zn6mwdV7LvnqpZfs+JnF5e6a4yon3/D8aU4c+Fyn2Qj2t5pkYZAS+naOX+DZDVK9CZ+6BOp4Kj73vnNgqwkZMuaSVMAtC3DrAtxSZZxZVvyr35niY7evA+41tqA9ML4c79JZj73zA1it5INJKTLhf69LzmYc9P8d6J4MMCd98fJNq3OrWcxc7mjGh+jncw2r2/QZPZ7pNLrcGiVP6Rtt/XE70FPiZfD27xjw797dZstcUvHEJ/zx/D2TgbFFY6nLesZakBhbdpvmqftKBnRNFtRQpP0Td49TwSgVDFObnh8mkBo/88P6/g/9+Rc7G+Zaaw6tt97xFgLSuPPuWhTdnIrsBt9P8V2dSJVhqkttaTs56VJh7DEt7iSIEOOuiaiAW04wt1Ka1Be875NNPvqFOrGqAtqbeKyAW6zNWE7q7nFdXQJ0vfEQVf97PX1d2GRC/PfiezybuSapY8bck2oCKE/wWHlT3S3ZLvtjTkrFF7fSxDIlriAr98kz94uFHW2LyMAj4x2v7bP/qMevv79FCmXgOeGqjP9tktRdeBngC+fXizwXkdfeuOYHWZmdIsrfn1/UlogEvjREnqRWrz+xvNJ99+xMc93PX/dr7bz8O/HUIJvbeImpRZq51pD56T6N2pDAj/FVWraIuXuhuyeylzmQx33tKtOPB5CFDZjflQZP8MV7anzki3VGMh9/WwV0hb0ppUm5r04F0FSBXgYzY/vtiAmQ5xdx5W5fV6je/YM1ZbLfCrgr/3BMpjCRqqcKeuG0+ETFoXHTryqsXWQ1J4LP8rEsxrIM7upVqmyeSUJteOdr+nzHiwaITJdZzkpRlmX1tMLkdn94bRwLaxgZy+apgWQi85k3RVTrVxINo0zQ/f+3991xch11nt+qeu91mp6ZHs1oFEYahZFGEUsGS47CtgATbcMZDJwPls9hgk0yu2YxS/Dy2QMDdyzRNsuZ5fD6CA4YbIIDGEfZOIOcZIUZWZasMDOa1OGFqvujXtWret0zI8mShb1Xn09Pv9w9r7/1e99fDgkGahS7Ryj2jFHUuIOlvQvFSDmI3nfuGxreX2eiG9/edSpEVPk5DR9d/NzO3YWIcyzqEnCdLKq+J9udcHWjbcXStnvzhIcb3Ny2mkTGRFHKZQTqcBAHuPmeLD7z3RY8tS0TJww3ALapWBLlrUwrlqYET6WjQViATjBrO1nSvMVy3adAPSW4U27MenpCEhs4TMUyZRNXGezClvTmO7ekOABtPZFdhQkSCwu4/D05Z/LJQCCLQEXAigUBvvmpEVzMgN/ek5dSXEvy+JFAhLHMoBIFBAgCxNI4/p+Y8tuKxFJClKiO74HMLCIYCwQYqWBFdxmV0EExP2/8bWes/XlzIYsvXNT4Hk8I8FxTt3jowWu+M7B/xQVf+eGeQrlK8OGzhvDOdVX4oRMrKvGXUWZCQINX/k/cBnpq3QQ3IYZSGbvliQP8+u4cPvf9ZjzVF4O7zoljUxNCY6USRmcGxb+RBvUkdKORVQX1r4bSOiWNG6N7ghkg7BMTOmjTQwXmZJthSoSyqEADWiuYhgIqU9oUHoV06QMAlcug0q1PuUCkUOwDS7sDfO1jI6AEuPmuvGEqnOoflq60SMjkhwiAG8fUMMPZQw2nmlKifQ6EgY93n7obHz1zHENjDkbJyQPPbn34O+99+7smvNXOZF+pSo5DRYxgfHwLdg+M496/Upx94lDy+BJGfWcFbmURIbHdO7Z/26BWNnFTatvghgP8+h4J7ie2TgRu5fWQBSVJzLs9Ul/+wSz5kE4BmxTsJmZTJsQGwYMG2g+ch6fL42lpbexP4lIk2LWn0JLmiU1ckEbSXEUZ8jpujjj6EHGcCje4uUR9EiUDH1gxP8BXLhyBEMBv0pK84eDQB5G4TbnlDZW6hhPfNHUpAgGHEmQEUGPA8ctcdBY70NbUgu6lS+FmWvDeST51UoDP65pd437lI+es7752y9bNhWVzS9gzGHviEDsKIKed6YZXlhP52DcltwlqZR407NwkAqGSc//2viwu+W4znuzzGoMbKekd50Xa2fGIywvEoIYtvesoiaUwpsCcBrvhWTNngL06NcRVSe5G8RjaqqJEmTYdCkuKJxw9sagkgVgiJcUNsBtSXXASF+Kkyf9AZTIwKEAEk9F9aq8vsHJ+gK99fARcAL+7LzeJJBepHRSAjG4MJSOCA+XlFPr+JZYvAY8KtHgMT2yajrDsYuHCJeOl7vxHOktdtcnu76QAz5Bhvmr5vAe7ptOR++7oKzQXOIbHCshlArgsiq10PI4qTLh1wrXNWBNDimtakgCckQiEcQhG8Pv7s7j42814apuXxJekuTa1wU1J4tAxzYH1cd7pBF7Tfm8olSTh3wnYiSXlFZQ14CfiLaltKRZi7CBaXNcl4iJFRYTh+FHbuXGJOI+TIAG6ZSNXNQ5jLi5D96imKxAERLVviDk5hbRrq2hC4odYPi/ANz4xAiEIbtuQRaTwq788j0OVWfJF9VNXgly1HYECtZoGsQXMYQIeA/Iu0LeDYHSUYN3rThrJNXc/+PzOcT4ZhidlTu3TO1Bsbt6X8/xzVq5cEhSzZUn6Q4owtp+qb0bSSQxGmQdiOG9sO3hsPYklt2AEf3wog09/sxlP9Stwy9lulnpQyqSiKAQwapuYWToN0s5M6Y3GktwGef02jd3Uceb2gx0i9dLbjY11Dk4YNm/lcE/VL0xc/IZFhRt28QbWFW0TV90jjHcRZwJJywsD9wmWdQf414uGcepxVTAexVX7o9iaEk3+igO9eWxNUdYVDVCaxA8RAgyOBFi8ZEWwf9Q/p7lY3FcqTZv0vk4KcEJc7B/oR7F1wfPTpi/e6uWz4DxCGLHY9JSAW2e+E9uZIwHMDckdJvZu9WIcwiG47c8ZfPwbLdjU70GXmSITKJVQYIdNTZAyC1rey0bSeyLKUl92rSGgTeCnZ0ByyJTgbuS+1x5LpPm2Sgg341OQABsGYDn0BNCgh2lGhHb0JM4gmiROaGWUJWA3OrvxiEL4BIvnBvjePwxj/ZoqWBTJxEkN4sgAvAF6njiFFMj9OAUuEsm9YyTuhsg5mlubceyq3q0rl857ftPmPhTy3qEDXP6oDL+6/c7+B58Nzn9u9Bi8MOAiiJSCmYC73iuZ0BBqrKt9hEjgM0+AOwR/eDCDT/2vFmx6zoNoyLlTUpza4GakcT3vKdPOzPjoFEYbKpspSW6Dt0HVgUngLeoW4lVDjJsUJPkEkQCfp2gKDKltTIx04c4E5BR2eWaqE5aF9m4qsDO9PQG8TGIWNYLFcwJ869PDOG1NFVQlTQpug9wCN09s53HOZyRkplAo7Ewy1wHamiJ84B09WDKvfP5z/Xf0O2xSrRbAFBwcAFqnzcH+kQqaitldTz5euHvLE1tPEXxfwqeZqk9SHyCVtp4QJG54QgRoRmD7gIMNj3m49AdFbOr3ILxJbNxKatMkkEpTE6AuO2dCmgIV8y0aAN6eBBrFhjdTF9U06YoxOYghfcz9kw2NaZFcyPJakgT4lpmQGAolibm2xcUTU6EEtUhc+FRxd6VgSjNrEgJAYq5OY+7NQVhidYHcBCAWHgHHku4A3/n0ML70bxwPPJrB9gEAnvlfqve4IVSscKo7ILiDAARVEDhUwIvT1qIoQmd7C+Z1r7x74aITdvGwDOYWpgT4lBIcAFqbc9iz/YHNnR257yxZshCeU4XrRHCcCC6TmTUuC5JuCnHhebMgjwp5VSZBlhHYtNPFly8v4hPfaMEz26cAt2kWjBU6poEtjJIPdtljM7hKgfJArCd10r5hnAmxrCx1Yj29vRGw086eBlBITwR1ntXyGwmg5USx41E4Nzl7UrgzuYaS2Ek2vjD4tzBiVVScCp9AkvfODfDdi4fxhQtHsGh2IGtN8FiKm6UpRKpkHA8A7kNEEWpcoBwR1DhBLQJGyxEWLloKsKbv3HrHnzcfCLiBA5Dgakzr6IKbaX6QYfhGV2w/m9eegudGcF0fnhOAslDmVJpmQSgXfiLNleTevNPFl68o4vrbcqhGFMhMBW6zrqCc/1abbdIgWhD1VpKJttnhrwlQ9eYGPviEuhBMKaIPYtSBus4zCd15wwrSIgrYcWSgJf3VdhiRhzAsLYnHk8brSooDsSkxpi5a4JoxKMqWQQAacnS2RTjvLRVkPOCfv1/Elp0u4JnTlsungOpYRSiAKKaeETgcVIQDCgoecZy0ahFWvWrJjb29Cx8cGBw54Ht5wADP5LtQGe3vL804+ZPV4QdZCO9tucwAik01MBoiDLm2i8vSbjEDNBIhQAHqEmx53sWlVxZx/e05VHHw4FYmQalQGrEl1KAjSNEN9U5h8eo0/1Y9HC2u3cCaUmdRMa5zwGhv6M2UHNuSygaY0+9yv6GAKgePSUHUtTji3vIxZVGgJmoWxOAnKj6FSxc+TVz4lCpTofHdTZDH8eGiypFxOc55XQUQwKVXFLF1pwu4kTxIB3/z5AZDTSgKhA44PIxlXbS25TFtWutNZ71x7Sc3bd25vXdh1wED/IAoihq5YjcqQ3dsb+1cu7G11Ibx6jB+dDNw7Z8AznwQFoA4AVgmAHMizc0JlYEGNEPQt8fBl64o4rpb86iKuOJlHbip/TLaLlMCu8U2bOlt5lhqJTgFzrirkT4OdfvrwV1HS0xIpsn2QUpzxb0tHp56NytgwaAm5v666rTCvp5tYTFoSqpSrfJSJ5YXVTzIpisWbTHpijIjBgQ5wfGu15dx6QUj6O4MpJmEm9YVSU9IEMDhPlxeRU6U8e7T9+DDZz2PkrcHPbNLeNP6V2/82W/+fFDgBg5CgquRzc8Cy83/2q8e2Ljgx7/yz71zwwhcr4Yrf11FFHIsnB3i/DPLWLkkQDEDWbCcEvgR8MjjHq64Lo9rb8vDJ3ECpAVuM8nQALeBGgYVZ1JfUzBd07suFQ0JiOvivs1lA+SWRE5J77SiaWL8YIcGoiWxlcXEADcx3fYx9VBFdQzqASGS/vGATiDQyTuCxO2vjcmgujeoQkKCQEA2nqUQUuITg7dDZb7T+DoCHAxxk0xQCkQhR8YROPd1FYADl19XwKNPuahxedNJCBSzAiuW+Dj/zDIWzgoRBcDSeQKEMZx7WjOqzrSfz12y+mvl4e0HfV8PiTl+68fXY25XS/5bP9xwy8ObXjh5vDwKwn2AR6CCY+a0AOvXVvDxd5WxenGASkRw9U05fPHKJuwfZQhg2rgniQ6kpnkQSW5lLL11MgNNeS6NuidmMq9VypkY/SmJSvol+nxi7jfLRVCZzZ0kFyMuj6yOU2WTkSQdx+ck5STMa8fvDPqzdXk8Zn5fEa/DKsNhJUlbjbvMgksTt4ex9yeOOuWFTqqKGV5qasYVJRYzRiPt1CPEDqSjDAgIwfAow+evaMI1N+dRiYBVvQE+9s4y1q+tYlaJgwoCcIogdDEyXsJ40HNPc9epZ4TVoXLn3PcfNFanNiQ2GL+/8Rf42IWfCE5b23Pe40/9df7O3WUIR2awC0oxUib4y0YXjz3FsLInwu83ZPC5K5owOMLANeWYIux1CnCrrHgToGbWTl2zVeMYYgLLejey2I2HicqaJzTh56oFtVw366Ak+2RWPDF4PYFVHStFp+oCwKxtxufB3lYfBSljOuxrxc+iBsfL7Ua5bP3EE/ZjigCNYuDVqlB7LZ0mji0RsuVIUw446ZgA+0YJHFfgu58dxVtOrqDIAB44CCMPYeSCC469Y9OR6fjvm8Ow+apZ3W8+FKgePEVR4+Q1PYg4//P7z157wpb+u3P7Klz+R9yXj0ePY3CQ4dGnXNxwj4fR4djkoe1yFJMqlga4tVJJDKWSpjyWEDYg1A9s/agG90bqh57kvSEX1+v2QzD9SCQT7rGHHWvSwEoSsxVzH2BwcqLCZ0lCJZB4N4mICU8Dy4ogRpY+lC1dtieknMvr0MSBBM3vDauKoiRcSk3doTDeLruoyS4OzS0cbz+tBrjAtLYIxAc4ZwjCDKLIgQAQiQJq3ukVSpf/+SBVxcMDcEJa8cJg5Z/eePoZ4oltfRf971/syMJ1EYQM3A9w/PIavvShYZxyTIBZMyL89WkPe8YV0tLxJROFwcp/rVFsN005cazCPVrypi0k9rKJO+2aT1tG0MBlX3czkD5pSkCnwU0UwkmjnbC4uQS2ArJ5WhJmK0Tq3DSoY4uKdvRQgAqDyxMYnDv2KnIKUA4K2VlZxLNciNhRxKn8aXkMSSr/AdkxW4CICEQI7Bum+N51Ofzh/gy2bXPwpQ+NYE0vQRBmUfUzgKji2X0rq2tPfsu3vIz4PCH5Qwb4oU8NADPacrxJXHvpWSc3f33Nsln+7LxAySM4fnkFl310GG88roZCJsQJq2t4zTG+bNdsSm80AjrVKFOeSpV6ZofBJmCuf7TbuZV1dm/zWDQAe3rbRAooqTtErjcMFZxiNAC2DoG1N1uueC1NU1aUZHsq6RiGpSWlLApB7TiW2I1fZ2nRLv3EuiKUy9+0slgWl3iiMODBxz088GgW5aqDWx4o4B8vn4b7nshgvFLAvqFm1MQSv2/fnK9/80e3XEpIkU916yYbhyzB1bjy+g6/UGy5bO3ybf7OwuiXm5vG6NvWCazpdeBXBCgN0FyM0NUexdW/TIrCDGluozSpZxJLbiOlzIo1gQ1cs/1IowhBM6R1QlqSngB1k6AB8SD1QD8gIW5I7YnCaC1a0oCiaMmsZpYg4IKDkKT0hHb6mCAnwpoUIi7JLCBt3ZQKYzLFAOUUlHJtiaGQ9nJQGvt/uJ4s0noj666QePIAAjv2MoyMMCDjAMTD3U+24Es/bseZx7rontnKlxS6v/xfTp/9zZGRMf+SF4nPFyXBAeCLnzwHK7t45U2n9N547pmrxRteAyyenUe5UoAfeuDCAUIig8s0alLUxIzthg1unRFPE6Cbkll7LAFt89aGxTQfJxMA2FiHAfaEaMtlkpoYdSAmDRcPelhly4S53S5YqYtTGvZuK9LQArXh1reiEhMpzqEkte3W13zbtJVb5xt2cmG79yOe2MlV/IrD4h+YOADLgHkFbOor4pYNLkJvtfDpMTc++nRTZWbPeS8Wni9eggNAz4K54Gzms06UvSAqj1yB8h+pdhAYsRLyl09REis7Ho3BrUEsLFBbicKm4tiIe6e3qa9DEp6t1mHtq+fl6bU6W7ieCMb+tGJoSG29QFAn0dV7Woqb3JrEBm7JlxNenoBb2KDV+2X5BhLzcFBorybVHJ3ovEjloQdRsSvcKHAVS3IS0xEqJw2jSmmlssqWvgu6yCI4BHxBsfo1x/GOGQsuWLGs99lntu46HNB88RIcABb0LMXM0k5/xsI1V83oGP37ae0ZMFqVv5OKZQAMOuI0BDeLQe0SOzsn7bRJV6OyogUxNdVIS+w0x05bS8x9JqDrgqzqlg98iMm2W1IcFo9Ob5PriVQ2PaQqq9KU4Ehz8zpebgZloS601grBFel4cdkLKFItU2IunhYSouajva0JA774+1PXrbnqoSd3+8uXLz0c0Dw8EhwACq3LENW2Rd70923B4L2j/t6fFrnYhaSXHCCDUcz63RLcMuPd6JuDhGeb3kob6JPXFkwAnQqJNW9tA0WzLiTWeMn9ttRuxFQOejSS6MZ2lYQs1xMpnUhwaG6uLxWjmhOACQV003MpkpDa2FKi8zUB47j4qwihObS0msTWQU5BiTQRq5xPQhKPp4KZTGd0QEUY31Ap7Jyohjkzp+PD710/eu4Zq7Y8vXVndPyrew8XLA+PBNeDFUGiyk359tde2F8+d7Bv70xUai6EcKQThLIY2B5AHdC4V2WWAFlqJgynOi9A2LW7U9REAbCRo2RKukJInUSuE8xpiW0el6Yvh4B4UxLLdVInldVxyXoq00dJayseBYkENykKDEltRhbyeo7OU9IcIKlzTe5tNr6S/DsMHUQRQxg5CCNHFhKKCEA8gLg4fmUe3/vCusG3nrb2wu17w5tKzYduEmw0DpsEBwDmtAMA+neOXt3Z9VYn2J/92ljllx1ZsgmjVQeCZQCaAaEOHEq0Z1LHkhjY0KGtaQeOQU10MBUxgqbMV0p611lPGvHt+IBG/Bvp9QZAr8P1JEDX0rduxwTnmdsN549pJzelbALquGVIHMFnSXFlHYGQZdR0rEryJNDHEbmsPtA0YUpLjVLNlUNNSnceTwoCwA0iFDICrkfQ3TULH333SXvffPpJ/whUr+7pmn444QjgMANcje5ZRdQqo/+O1lNpbe/mr973UH/H/U+2gnt5OI4LjxLdPpsqEGjpNQHQ9Ks+jruRy9vqKRR/Lw1Yvc0uqm7SE30CgDS3IXV/kTr+Rdy8FIgbOXnUuhHlajmLJJMR+hJpZZOAaO+lgIgVyJgGEUPyK+VVS/2EpigTpPwQoj9LU1F96wQo5+BUSnhCgOOWlLFqWRmLepfsPfMN6y7Zvz/696mShw91HF6KYoxMrgin/NOrHC/3mds3HjO4b38LChkXzS5QcjmKrkCeCWQdgYzumSO0YqliIUzg2WWOkYTCGi/LBQ9Y0lpJSzWpGiqa+oepnxiNJD7s060fXG4/OLSbtnBLmRT16+ogs5eNWbuwMeVJKZrx97WVyaS8hE1jiJbadRlFaWoSMQQhgx84qPkuar6Hai2DsUoezbkiPn3uzMFSS+4zn7/y9qtKpeYjBcMXpxsdyHjvZ35KeRS+e2jvrisffbK/2JRhcOPmVYDRSs7ofKt+JCWtzQIwZgSgFWxFjMApK3zWtrwkSRGkwTakgquSY63tJIkkTJbjgkjEDrqy25pAr+uIRGJHLyaBYAJ2wythfCczSlKk9gtje7JMVINb3R/JXFbNCdS1zaKpdl13O+IwSWZJW11UA1o1+Sjhsuw2q8HNLxqdNWv6R1yP/Yy0fvxFeSqnGkeEophjcQflTYXiz3e1iNBj4v9s2dyXzXlMZ4bI2tAEIZEqP49gde2iyYMwpVDaDh8roAoTS3DTImKbR2BZTyab+jZvTpP0iY5rPEyryUScPPmPhHFhoSmMaSdPx7Qk26W9mSoJH2chxz4hmcmDpKA+JdBSXAdgxdtULEIC8OTryH6YDFFEEUYUUSSpiWw16aOtvbfqZrs+uG+kdL3glSMKbuAQw2UPZvzptuuw5tSzRcf09qdzrniyKeucOToy6BSzJHZQqCNJLM0JQk7MFD8t6awowlQ0oeqd2Cj8tKGknkiCa2kNLYWTayThtDp8lRqhsYRY17bCY1Pvk1p8Ukpuo+U6/URRLGLqFaTB8UTrICSeLMkcJ3r+2Nc09Ryz+S90uWxlXVH0JIwowpCi6jsYr7gIAoHWad3VXNPM85pb2n8Z+OPR7MUfONLwO3Ic3Bz/cvG7UR4ZjDIdx96wfPHM9732uAXlWdMIMq5Et8PiykUA/IigHBFUI9kNIFK5ggZHJiZPNxIa6rqMGT+O9aOmmLGlYKa4tdqml9Uisb+T/WhILU81RHK4WRNFr8Ner3P+wHDj15kFDQ6ePgaJWRAp86Ey+Zlc3HrcEMS9lLisruDIzh9CyMpnUSS1o4pPsG2nizJfXIbT/b65y2besH9kPJr1EoAbeIkADgBf/PR7MJttFJdcNHzt6SfO+eAZp7YP55t8+KFUNPMZAYcJVHiEchBhLBSo8KTCEdJBVUibDo0qt0hbS+rxB6QkImzYT76vnpYcrDIjJlmv81QaL+scZf9OX0eo/3iSc4SthMoOColbfqKC+YmiKWJeHSLj+shnK3CcGsKIolLzUPUdOCzCSLWC3ZX24X3jsz648h27r33o3proXvr+Fw+oAxxHnKKY4zc3XY/1687Df9w5tlGw1p1tpTnrauVyngcVtDUz9HZHWLdqH3LuKPp3uQjhwKVxeQj9UmlaZsrZ5LZyOiHlQKoPJUFdpwdFLbSSaNKNhKLAoCNp2tKIojQKGWjUNsWmLLZTqn5ZfkdFO+xz7Hh3cznZi5iQG++GQqI+h5G4OzWLIHs4VXHPEyFuuj+PgeFWEJEFRAQvW8Ly5csGTnxN5lMnnjJ0TWdxFs5++3teSsgdeSUzPdat/68AgIHB/T/xXMe58bf3Xva7W+7oaPIqOOUYD29Yy/HMziH07XSx6YUMhCsrIKWtJenEh4aOGZJaN3elaUuacsDgq+ajwb5Kg6UJPis9xBQnTXCY0A6Y2HZB7IO0VCYqsEpYyquq6Z4sy5MUZSFEgMQud3A186DriFMtzeU1s16I5/YG+Mo1HXiqbzrOWJXB8csIliwoYdb8U/a2d53yWc7DnxDScniBdIDjJQe4GtPaWjE8Mv6jM998CikW6FefevyeDkaGsH8si1ITQakplJkhJFXYR4XNGiZC1agVqLdfN3xvwJ3N1oAmqJNzbag1nEypbVNhWKR0i0k9m0iEqnnRJJYkceyYsSnp+BViXFJ9JlQsSnySuobpRAIoCAEiCFCqKl/JJ97+cYLR0RzachTVShWVoANze9bt7Zp/wiUC4keOe3TALb/1URwtzQU4DFed/tq1F59xxvqhrtklZL0qNm4j2Lo3j0yGSo8nkxnljNk0xYm3Jdno9SCWK/VKpAYyUvv0/lQxeyMKTh1fFwFYT80PyFRojjT/1tvUgtqfjjBs4NQxFU6k1zX6jXN1kU1pDYk40aa+MCIIIwnsKJIRgmHEUKl66GqnWDxvDOMRR7F1OtaccOpQ98I1F9cCXOUcYIm1IzWOmgRXo5DPg/Pw6hUrVg3u2rploR81ff1nf7rfHRpuwrRmIOcIeDRpw81oDHbDtAc0Vsg0toQh2dQwLS3GC0gADPtwY2d6XyMUH5jmKeo4SLLeSKJrikLsyEElxfU+kbjjdfwJiZ1nsD9TXwOJtUTZ3ml8LhPUEgyUMBDiYKScQakY4uyTxtDTuzLIkuJnVq9evcXNZH6TzUxe2vilGEcd4ABAqcP98Ydvmrt0nffAI8+Vexd1XL5l+xOkXK7QrEPgMQGXAS6LQR4DXNm9AfnDKy9o+pGepgLmu/rFTCluKmSTSeCUDla370CHdsZYF41XNKIbnRjHg0gM6//ZDKEFaTBRiKJcyVNGSXyuowqVYinrpggmtAUlESYS/PuGZ/DTTlwlVvPej23c8+ofP755h79+zbIjAZWDHgdr3Tqi46Y/PItcPpfr69s+56G/PPHO53a88C87djyPjMtigMe0hKpXYlWIOBBGAmGkzFzxj0dtCsMMa4hZD8V0mVvOEmVdUcup2iiWc0i57M1thvXEdNXXWXzM72M5nkT9umX9SSdTi/j/EEk4Q+y+Z2YhoPhd+Q5UuGwYUQShpCiAvL58asp3x+FwnUj2YUKA0rROFIqdny91HnNt07Q5zyGoVIj3qqMNJT3+JiS4Gm9bvwgAKl/+9g2bnI5XXba+K+9t7S/802NPbGdU+PCcpJIUi8HuxEEtQSh049DIqFlNDWXLlN4EypRILEndKM1sAgJirUxoaDnAYdIpTEJb0qu6ywaS2peCy3/O7LQGVU9cfZ6eDNIrCQARKIIQcZCU/ATGBFxHFmUTAog4heAcTQUHTq438smM/7FkWXDZ3r4dUbH99COKj0MZL6kd/EDHHb//OT5y3pvEBR8890/XX3tNhlKs8SvDDrgPP+BwHALPBbIeRTZDkfUktEbKQLkmXf0q/tiSlnFpNlVcS0vvlPs9TU/sClLEkuymbZ3EOxLJXX+s2Ra8zsuaUoQPzJ1PrGuYfyXlIZatP/EfJJLZdThch8NxBKKIYXDExVhFxpMoLzKjAAVHxXfB3DbM61lbW7TizG/MnnfCF85+8wdEz4pzjzZsGo6/KYqSHnsGRpChESJBvtrX13fCf/zit7R/5+gJlbFBp5BzUcgxNOUZCjmGfCbA431lPL7NQ4YSZB0Bz5G8XVMbRmJFNX4xYjiB7DJottmvnqJY8SxWxCAxaEwyAaAB1qB0m0FP0kDUCR2pcISklSMAq1cp4s9K6hbaFEPAYRwuk4B2nQiuIx02jhPg8S1Z/HVTCVmXoSlHUCxw5DMRPLeGzo5iODhW2LB81dv4nLnzNgQhvaSQi8Dc1qMNlQnH3zTAzfGDH/8KjuMUK+Xxf3tue/+7nt+5i3o0QGd7Fp3TKJbNHwO8Hbjw+x0YHy6gLcuRcwUyDuA6CuREc3iHISmKqaQcEnDrG5QGuMWjE4BLcFKj6KbJ3W3PJ2B4Vg3PqV0IdOKw2UYTUX5ZkZo4cfofk634nBjUDpMS23M4XDdC1gtQzFexvzyGi77XCsZLWDbHQXvJRUdrhM52B62lTj67q+sXxab8h4IgHF24/KyjDYkDGn9THHyy8eG/Owubt2wbLeSzH9+8beHmu+59eIWD8bOrY9vR3gK0NVdRKlWQcX0MRAWtaKbjOJJHvwHOGFTmsIOckvSstFXGtHhYQVmafhgE3ThXpD7HNP0ZH2vrAcZymqIntu2EX0MQWbxACCO+xGzFklSddZwIfhCi7wWCUh7YM1gDIyF6e3owZ27hxtndqzfmi7O/HYbV0bkzu482HA54vGwADgA9C+cDwL7+7c994fy/O6e7v28LhvZuPpv5j6C9dR9+dT/Fzr05ZFki5dSwJVtcwpiROmtMkuliO0HUMD2FGnD6s4ThILKz8hsOwz6vQKosGqIBuFUCSOJ9Tb6TMvGpiUgJdJ8o9b9zo86JPDEJoAojhtkdBK9fux+//GMW8ztbserYlVi6csmNvYsXfWpsfLy/vaPzaEPgoMfLCuBqdM+dg/1DQ/29vUsuHpqWuTrnzf5keeTudbc8sh3Ep2guCnhM6NJuapggZzE9cR2iKYo0lQlEkTxeV2qQa5C5jA2cM+r6WrFU7c5JHRjVdfUXEqpMGhpemzT47pqLw3DOALEHUl5DKs8CcOIMoji30nxGqASFMKQoVz3kRQ7vWe+iuW0lTlp97F1zZ+S/vWjRwr9Ua2F/Z+fso/2zH9J4WQIcAFpLJQDYLITYDGDjs2N7Z77/Ha/9wfJ5m3r+cPfjjCKAQ4klGaEluHw5jMB1CBiTXjrOBQIBRESo3qTykU6IBjnVHRWM6BSDE5uRfeb29ISwQA47R9LKl0xZTawiR4rScIEQspNaGEqQEyIdYgRS2Yw4gSMSs6G6VhBKCc6YB1J4XXRs9+LN5ez4h9/6uhN3cY5NLiN4OY+X97c3xp49QwjDqHvjM32zHce57pbb7mzu37Gj8MS2UTRnGYpZKa1dF8g4BBmPIONRZD0Gz6WglCAIOcqVCFU/QhAK3XrPVigVtSFwFMVhqqsDTRXCB8xALjVUYJSlfBoTL7HySOVQKsUqRCHJwVTymAuCICAo1wjGKwRBKK+TcYGsJ5DNCGQ92RTKc6WCWcwHyOfGsWd/O0rT5o0vXXHySBSF5+SaFzxPCOvPF0pH+yc9LONlK8HTY/r0Ejjn/TNnTntu977R5V0d5PjRSvDDm+54Oty6aWvb+OhAsebLbrpCAJRSuA5FNsOQz0rA13yC8XKIqh+D20iBFERAxEHmVAc9CYDQxP5t0hMrJjshBpwLIxBKxL1zCFQReUDlQ0I7p5IJEBchjT2R8ssBEAKMElR9iuExjpovkHEpeI6CMcDj8nMBDkIAP3TBMu2jM7tnDLbMfZVTqeXPb22fdz9ocRgQnJCjGoN3WMcrRoKbwx/fBTfj0r4dg9n5Ky6sbXr0B/9w170P/rcHHn42EFF5ieBB1vcrKBU9tLU4aGsBprdGcNwKrrmdYGyEIKcqyxlOF8aINjW6DokpDo23y3fGiGEmNBRdHechtIUHMKkH0bTCoYDjSFOm5wg4jnoXcBkHY3ZlL0YFspkQQ2Mh/u+tDrKMoK1I0Vp0UGqhaGuO0NyUQybDqm0l92mW63F7etdejeff+D/9jhsy5aCzSonPe3tmHe2f7rCPV4wEN4dXmAlIeVju698O13G+7jjs66ccv5yVWguXj4xWFm/Z2ndyWBtkzYUQ01ur6J4xgIHqMLbv74RTc2SNFiTilxDAVWUsKLEAmjSeIjrWxfSggkhFUqi21FxAxKWjFE0R6ngQRIhDDKCUXKGDnpzYdU5pUm3AZQIthQDZ3DCGfBcjA3ksmeOhkKfI5powt7s96pwx9x7CcpuiYOyCas2PHCeLqOt20T1zTvlo/15HcrwiAW6Oed1zgYQhhHv37f+Q53mloaHBr2y4706vMrojWjC/6VjPI6+++mZgYE+EziaBiFO4jMIPCKoB4MV3ihLZpcA0H1JCwBwCh5IkDMBw3EgTHWRLSC4QhjxRXuNjVIcQ1WeHUQDqCaKVYgHPldLacwQqNYaqT+CyCJVqiFJLhI+9A7jhvlloYpmHm5r8R2Z3LWDHnfhav62t7XM13x/K5VqP9k/yko5XPMDTo6O9FQCGAHwUAMb3/h6OQ9Y93Tf6hhXLxDkrF/m9oV/GY399Fp0tHEE0joeerQKRi5klBs9xrAKVhEhaIilLYjEx3e2q/R+pCowEHJVapCMbWTwLVIoYJwJCSGXVEwk9SoodhSjmxiAwhqf725HLllBqCTFt+jHIFzJY34Nnsh2l657fU7qVUX7Xu85dd7Rv+VEd/+kAnh6FjjcCwF379g3e9dH34O4gDBfu2DXAn936An/Nqunzj1le+OytD2zGM33NiMZ2Y2hoSGaZRwSAi4xH4TAg63G4DmT2C0/MkQ4TyHgCpSLHeM3Hk/0ClQpBaxOB51Jt66MAwihCGAo4DgEhDrIZAkoj8ChESASEE8LxWtExYxYe2zoKr20FCm7lskLTjm1ze06mTqadOszZckY7bsk3vTKsIC92/KcHuBrt7W0AcItaD2t7QEi2lUTbNnAnBMsWg54ZSy8KQvF6zxXgUYR7NzwCj1bRUvTQ1sLRUuDYuTfAngGOQl5y7oADOY+j1FSFkxnG9qEsovEMMgxgxEEUSQ5fzDuoBQSjVYpinoJQOXlmdGbRPX81GGPIZjiEYLcV8gP/OhpFbveCVVi1ZPZdY+Xa/rbph78y6yth/H+ATzCczHQA2A/g1wCwY8cugOBp3486GQOv1Xw8+vgmIIyQyTjIZTlamsYDnl19aXFa9a1txTDgQpoeW5sEOttqKEbjWHusB1710NkKNDc5qPkcYSQwuzPnFov5my//yYZLi4WcS5kDx6Fobipg7vxloMyFywQVgu0GsO2D7515tG/Ry2K8Is2ER2v87tZ7QIDOyvhAS1uzLyJOUa4CrU3AtJYA1aiMOx9zwX0XbUWC5gJDucYRhBxzZ+ZJz/zpw0KI3fMWnXC0/5VXzPh/AsLhNvmaoMAAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTg6MzU6MzIrMDA6MDDiN6wNAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE4OjM1OjMyKzAwOjAwk2oUsQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 246147000
{'hecke_orbit_code': 81064862045704496, 'n': 1, 'trace_an': 4}
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id: 246147001
{'hecke_orbit_code': 81064862045704496, 'n': 2, 'trace_an': 0}
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id: 246147002
{'hecke_orbit_code': 81064862045704496, 'n': 3, 'trace_an': 0}
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id: 246147003
{'hecke_orbit_code': 81064862045704496, 'n': 4, 'trace_an': 0}
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id: 246147004
{'hecke_orbit_code': 81064862045704496, 'n': 5, 'trace_an': 0}
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id: 246147005
{'hecke_orbit_code': 81064862045704496, 'n': 6, 'trace_an': 0}
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id: 246147006
{'hecke_orbit_code': 81064862045704496, 'n': 7, 'trace_an': 0}
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id: 246147007
{'hecke_orbit_code': 81064862045704496, 'n': 8, 'trace_an': 0}
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id: 246147008
{'hecke_orbit_code': 81064862045704496, 'n': 9, 'trace_an': -10}
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id: 246147009
{'hecke_orbit_code': 81064862045704496, 'n': 10, 'trace_an': 0}
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id: 246147010
{'hecke_orbit_code': 81064862045704496, 'n': 11, 'trace_an': 4}
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id: 246147011
{'hecke_orbit_code': 81064862045704496, 'n': 12, 'trace_an': 0}
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id: 246147012
{'hecke_orbit_code': 81064862045704496, 'n': 13, 'trace_an': 0}
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id: 246147013
{'hecke_orbit_code': 81064862045704496, 'n': 14, 'trace_an': 0}
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id: 246147014
{'hecke_orbit_code': 81064862045704496, 'n': 15, 'trace_an': 0}
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id: 246147015
{'hecke_orbit_code': 81064862045704496, 'n': 16, 'trace_an': 0}
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id: 246147016
{'hecke_orbit_code': 81064862045704496, 'n': 17, 'trace_an': 0}
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id: 246147017
{'hecke_orbit_code': 81064862045704496, 'n': 18, 'trace_an': 0}
-
id: 246147018
{'hecke_orbit_code': 81064862045704496, 'n': 19, 'trace_an': 8}
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id: 246147019
{'hecke_orbit_code': 81064862045704496, 'n': 20, 'trace_an': 0}
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