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{'Nk2': 32160, 'analytic_conductor': 64.19972322510942, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [67, 1]], 'atkin_lehner_string': '---+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8040, 1, [6031, 4021, 2681, 3217, 5161], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 9, 'field_disc': 30857916195008964, 'field_disc_factorization': [[2, 2], [3, 4], [12251, 1], [7774098611, 1]], 'field_poly': [-64, 3372, 3086, -1662, -1146, 375, 123, -34, -4, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [288, -1928, 2924, 264, -1430, 175, 186, -34, -5, 1]], [11, [2752, 8448, -8736, -4508, 3848, 553, -352, -48, 7, 1]], [13, [-1296, 19872, 5268, -12164, 560, 1471, -107, -65, 3, 1]], [17, [18240, 62992, 44128, -14700, -10273, 1990, 519, -82, -7, 1]]], 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972565864, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8040.2.a.bb', 'level': 8040, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 67], 'level_radical': 2010, 'minimal_twist': '8040.2.a.bb', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}+(1-\\beta _{1})q^{7}+q^{9}+(-1+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 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-0.3136013094298264, -0.2192240892644725, -0.21193198165956925, -0.14555354004148932, -0.19937838403446304, -0.28373383688440323, -0.19099916271167336, -0.37258658225595187, -0.31577026273566244, -0.3521793467412463, -0.23554683564020445, -0.3648356225281545, -0.35078252962647244, -0.24023257932434444, -0.11905094891220175, -0.32882158993667987], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': 0.0, 'embedding_root_real': 3.033439005990135, 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972565864, 'label': '8040.2.a.bb.1.3', 'level': 8040, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [9, 7, 11, 6, 10, 6, 6, 11, 8, 9, 8, 8, 9, 8, 11, 5], 'Nk2': 32160, 'analytic_conductor': 64.19972322510942, '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': [8040, 1, [6031, 4021, 2681, 3217, 5161], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1617, 'dim': 132, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33562472, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 5, 6, 6, 6, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10], 'label': '8040.2.a', 'level': 8040, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 67], 'level_radical': 2010, 'mf_dim': 1648, 'mf_new_dim': 132, 'num_forms': 29, 'plus_dim': 58, 'prim_orbit_index': 1, 'relative_dim': 132, 'sturm_bound': 3264, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [132, 0, 0, 0, 0, 0, 0, 0, 132, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 16, 0, 132, 0, 0, 0, 0, 0, 16, 0, 8, 0, 8, 0, 24, 0, 0, 0, -8, 0, 0, 0, 0, 0, 16, 0, 124, 0, 0, 0, 16, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -24, 0, -12, 0, 16, 0, -8, 0, 32, 0, 0, 0, 32, 0, 0, 0, 132, 0, 8, 0, 0, 0, 0, 0, -40, 0, 48, 0, 8, 0, 0, 0, -16, 0, 8, 0, 16, 0, 8, 0, 0, 0, 32, 0, 48, 0, 16, 0, -48, 0, 8, 0, 0, 0, 0, 0, 108, 0, -24, 0, 0, 0, -32, 0, 16, 0, 16, 0, -32, 0, 0, 0, 0, 0, -8, 0, -48, 0, 16, 0, 0, 0, 32, 0, -48, 0, 16, 0, 0, 0, 0, 0, -56, 0, -48, 0, 0, 0, 40, 0, 0, 0, -72, 0, 60, 0, 8, 0, 32, 0, 0, 0, 16, 0, -40, 0, -32, 0, 16, 0, -24, 0, -16, 0, 0, 0, 32, 0, 80, 0, 0, 0, -16, 0, -16, 0, 0, 0, 80, 0, 16, 0, 16, 0, -32, 0, 48, 0, -48, 0, 16, 0, 64, 0, 48, 0, 144, 0, 32, 0, 132, 0, 0, 0, 0, 0, 48, 0, 80, 0, 24, 0, 40, 0, 80, 0, 56, 0, 0, 0, 0, 0, 144, 0, 0, 0, 88, 0, 64, 0, 0, 0, 32, 0, 64, 0, 0, 0, -8, 0, -8, 0, -48, 0, 24, 0, 80, 0, 48, 0, 8, 0, 0, 0, 16, 0, 120, 0, 8, 0, 16, 0, -80, 0, 196, 0, 48, 0, -24, 0, 0, 0, 8, 0, -128, 0, 32, 0, 48, 0, 32, 0, -24, 0, 0, 0, -112, 0, 16, 0, 8, 0, -104, 0, -112, 0, 32, 0, -56, 0, 0, 0, 16, 0, -80, 0, 136, 0, 24, 0, 0, 0, 0, 0, 16, 0, -48, 0, -96, 0, 8, 0, -80, 0, 88, 0, 0, 0, -96, 0, 16, 0, -16, 0, 80, 0, 204, 0, 64, 0, 32, 0, 64, 0, -8, 0, 64, 0, -160, 0, 0, 0, -144, 0, 40, 0, 16, 0, -16, 0, -16, 0, 0, 0, 8, 0, 136, 0, 32, 0, 48, 0, 40, 0, 32, 0, 8, 0, 80, 0, 0, 0, -64, 0, -120, 0, 48, 0, 64, 0, 48, 0, -8, 0, -24, 0, 32, 0, 16, 0, 0, 0, -16, 0, 32, 0, -32, 0, 80, 0, -8, 0, -56, 0, -32, 0, 124, 0, 128, 0, 16, 0, 32, 0, -136, 0, 16, 0, 0, 0, 0, 0, 16, 0, 0, 0, 80, 0, 128, 0, 0, 0, 8, 0, 0, 0, 16, 0, 160, 0, 8, 0, 16, 0, -16, 0, 80, 0, -16, 0, 0, 0, 0, 0, -32, 0, 184, 0, 24, 0, 0, 0, 48, 0, 72, 0, -16, 0, 0, 0, 16, 0, 64, 0, 80, 0, 224, 0, 0, 0, 56, 0, -48, 0, -64, 0, 72, 0, -8, 0, 0, 0, -48, 0, 108, 0, 8, 0, 48, 0, -48, 0, -24, 0, -200, 0, 144, 0, 48, 0, 0, 0, -96, 0, 0, 0, 200, 0, -112, 0, -8, 0, 280, 0, -128, 0, 0, 0, -16, 0, 24, 0, 0, 0, 120, 0, 56, 0, -16, 0, 16, 0, -160, 0, 16, 0, -48, 0, 144, 0, -24, 0, -112, 0, 128, 0, -48, 0, 128, 0, 0, 0, -48, 0, 16, 0, 56, 0, -12, 0, 64, 0, -56, 0, 64, 0, 192, 0, 88, 0, 32, 0, 16, 0, 32, 0, 16, 0, -64, 0, 132, 0, -64, 0, -40, 0, -208, 0, -144, 0, 8, 0, 112, 0, -8, 0, -72, 0, 128, 0, 0, 0, 96, 0, 48, 0, 80, 0, -112, 0, -48, 0, 32, 0, -168, 0, -160, 0, -16, 0, 32, 0, -56, 0, 32, 0, 120, 0, 0, 0, 0, 0, -80, 0, -56, 0, 80, 0, -240, 0, 56, 0, 32, 0, 32, 0, -24, 0, 32, 0, -72, 0, -16, 0, -48, 0, 96, 0, -56, 0, 24, 0, -128, 0, -56, 0, 0, 0, 16, 0, 64, 0, 48, 0, -72, 0, 144, 0, 128, 0, 0, 0, -16, 0, 132, 0, 80, 0, -16, 0, 0, 0, 0, 0, -24, 0, 96, 0, -8, 0, 16, 0, 8, 0, 128, 0, 8, 0, 40, 0, 48, 0, 144, 0, -48, 0, 8, 0, 176, 0, 0, 0, -336, 0, 24, 0, -32, 0, -192, 0, 16, 0, -64, 0, -192, 0, 96, 0, 0, 0, -24, 0, 80, 0, 48, 0, -8, 0, 112, 0, 0, 0, -152, 0, -184, 0, -40, 0, 64, 0, 80, 0, -96, 0, 56, 0, 136, 0, 88, 0, 16, 0, 0, 0, 48, 0, -208, 0, 80, 0, 8, 0, -80, 0, 192, 0, 48, 0, -96, 0, -24, 0, 8, 0, -88, 0, 116, 0, 56, 0, -96, 0, -240, 0, 0, 0, 216, 0, -104, 0, 0, 0, 0, 0, -96, 0, 112, 0, -192, 0, -72, 0, 160, 0, -32, 0, 0, 0, -16, 0, 8, 0, -56, 0, -160, 0, 40, 0, 0, 0, 24, 0, 16, 0, -240, 0, 8, 0, -8, 0, 24, 0, 0, 0, -48, 0, 80, 0, 32, 0, 96, 0, -280, 0, 16, 0, 0, 0, 48, 0, 0, 0, -352, 0, 48, 0, 80, 0, -384, 0, 24, 0, 8, 0, -248, 0, 312, 0, 96, 0, 64, 0, 96, 0, 160, 0, 48, 0, -96, 0, 0, 0, 144, 0, -112, 0, 0, 0, -144, 0, 16, 0, -64, 0, -280, 0, 68, 0, 32, 0, 48, 0, -104, 0, -112, 0, -72, 0, 208, 0, 0, 0, -80, 0, 208, 0, 48, 0, 16, 0, 24, 0, -96, 0, -144, 0, -320, 0, 56, 0, -48, 0, 0, 0, 16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 3, 'source_hecke_orbit_code': 121597189972565864, 'source_is_minimal': True, 'source_label': '8040.2.a.bb.1.3', 'source_level': 8040, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 3, 'target_hecke_orbit_code': 121597189972565864, 'target_is_minimal': True, 'target_label': '8040.2.a.bb.1.3', 'target_level': 8040, 'twist_class_label': '8040.2.a.bb.1.3', 'twist_class_level': 8040, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4642825
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 121597189972565864, 'p': 2}
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id: 4642826
{'charpoly_factorization': [[[-1, 1], 9]], 'hecke_orbit_code': 121597189972565864, 'p': 3}
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id: 4642827
{'charpoly_factorization': [[[-1, 1], 9]], 'hecke_orbit_code': 121597189972565864, 'p': 5}
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id: 4642828
{'charpoly_factorization': [[[288, -1928, 2924, 264, -1430, 175, 186, -34, -5, 1], 1]], 'hecke_orbit_code': 121597189972565864, 'p': 7}
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id: 4642829
{'charpoly_factorization': [[[2752, 8448, -8736, -4508, 3848, 553, -352, -48, 7, 1], 1]], 'hecke_orbit_code': 121597189972565864, 'p': 11}
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id: 4642830
{'charpoly_factorization': [[[-1296, 19872, 5268, -12164, 560, 1471, -107, -65, 3, 1], 1]], 'hecke_orbit_code': 121597189972565864, 'p': 13}
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id: 4642831
{'charpoly_factorization': [[[18240, 62992, 44128, -14700, -10273, 1990, 519, -82, -7, 1], 1]], 'hecke_orbit_code': 121597189972565864, 'p': 17}
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id: 4642832
{'charpoly_factorization': [[[-163136, -34224, 85408, 4332, -14045, 908, 678, -74, -8, 1], 1]], 'hecke_orbit_code': 121597189972565864, 'p': 19}
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id: 4642833
{'charpoly_factorization': [[[-8640, 22164, -16020, -1160, 6073, -2367, 126, 98, -19, 1], 1]], 'hecke_orbit_code': 121597189972565864, 'p': 23}
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id: 4642834
{'charpoly_factorization': [[[-4648552, -441380, 1139152, -12656, -72745, 2728, 1724, -96, -14, 1], 1]], 'hecke_orbit_code': 121597189972565864, 'p': 29}
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id: 4642835
{'charpoly_factorization': [[[-2255200, 2560232, -890572, 5420, 64080, -13313, 256, 220, -27, 1], 1]], 'hecke_orbit_code': 121597189972565864, 'p': 31}
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id: 4642836
{'charpoly_factorization': [[[-1611936, -874392, 472580, 82570, -39931, -1615, 1318, -36, -15, 1], 1]], 'hecke_orbit_code': 121597189972565864, 'p': 37}
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id: 4642837
{'charpoly_factorization': [[[-40896, -132240, 448080, -299768, 15708, 13645, -740, -212, 5, 1], 1]], 'hecke_orbit_code': 121597189972565864, 'p': 41}
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id: 4642838
{'charpoly_factorization': [[[-1108992, -328448, 311040, 32088, -29534, 215, 1050, -68, -11, 1], 1]], 'hecke_orbit_code': 121597189972565864, 'p': 43}
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id: 4642839
{'charpoly_factorization': [[[-2160432, -1133172, 1137040, -47980, -80181, 9704, 1344, -196, -6, 1], 1]], 'hecke_orbit_code': 121597189972565864, 'p': 47}
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id: 4642840
{'charpoly_factorization': [[[-1057920, 1815664, -643056, -202856, 66440, 8571, -1763, -175, 11, 1], 1]], 'hecke_orbit_code': 121597189972565864, 'p': 53}
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id: 4642841
{'charpoly_factorization': [[[742272, -2628248, 2636652, -449902, -218623, 19442, 3332, -250, -14, 1], 1]], 'hecke_orbit_code': 121597189972565864, 'p': 59}
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id: 4642842
{'charpoly_factorization': [[[314122240, 93998352, -16206516, -4452008, 335858, 69955, -2743, -453, 7, 1], 1]], 'hecke_orbit_code': 121597189972565864, 'p': 61}
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id: 4642843
{'charpoly_factorization': [[[1, 1], 9]], 'hecke_orbit_code': 121597189972565864, 'p': 67}
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id: 4642844
{'charpoly_factorization': [[[-1509888, -3891888, -2491172, 45420, 265954, 37883, -1749, -386, 2, 1], 1]], 'hecke_orbit_code': 121597189972565864, 'p': 71}
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id: 4642845
{'charpoly_factorization': [[[94324848, -6740720, -22940112, 79260, 694985, 12032, -7167, -236, 23, 1], 1]], 'hecke_orbit_code': 121597189972565864, 'p': 73}
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id: 4642846
{'charpoly_factorization': [[[2154480320, 660029352, -97068, -14995172, -588716, 132889, 5254, -570, -13, 1], 1]], 'hecke_orbit_code': 121597189972565864, 'p': 79}
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id: 4642847
{'charpoly_factorization': [[[-1350144, 307968, 1260480, -861152, 176822, 3313, -6011, 844, -48, 1], 1]], 'hecke_orbit_code': 121597189972565864, 'p': 83}
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id: 4642848
{'charpoly_factorization': [[[-51857200, 7918688, 7244728, -1149744, -293023, 47842, 2811, -460, -5, 1], 1]], 'hecke_orbit_code': 121597189972565864, 'p': 89}
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id: 4642849
{'charpoly_factorization': [[[-886976, 402816, 582352, -88492, -61292, 4899, 2039, -101, -19, 1], 1]], 'hecke_orbit_code': 121597189972565864, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 28, 'label': '8040.2.a.bb', 'level': 8040, 'portrait': 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Ozha4GwhoVpw/xUwnI3oDsUjGKPlYFg05RhqWM4cV5R83w2zcK2hZCNcyM2zI3ZNDdm20bLjk2Ka7Z71FWToyfafPUZn8cOxDx1PCJRPb71ZR3ueImlruY4cHyao2c0py8knEvBfWjRcut1F/n5t6+wfX6KMxemOb9SY6njsdyRrPQSuoOE4Vhw6MQiR0+vXvPE4cWX7zu5tOvg6cXPvfi13xXe/7kPfqMh8Te6/b1m8OWVDnFskZJfefjJwy/5+f/2cfn65x9+yb9882m91JlntddiuVNjqeOz1NEsdQTLnYTlTsTSasK5VTi8JFiYX+U/fv8SL7iywcnzs5y50OTMoub8kuXcYsypiwkXejHTsyNeekOfF14NvqwTqIDzyzXOLmrOLQsGY4hjQ803NGsJM1MxBjh+Lqbbh50bPZr1MdYKED79oWHHpjFLqxqskyKrfRjHYLEsd0K2bvDoDRVCWYQZ06557Ng8YnUgOH5GkxjNXFvSqgkCD+JYMBhLzi1Lzi5Zzq/EBMEIvJgXXdvnJdcJFtp1llbanDwfcGYRzi/GnF+OOb0Mh5csz792kV/6/hU2Tbc5cW6Wc0t1Lq74LHYky6sJK92I5W7CSs+w1Bec7QkWV4b8xr8cx3e8fPorzY3/1NSnrvqKtfbnlFT4tfY3GiqXvP29ZfA//KMP8/KX3MJP/dS//eW//Njd/+Z9H/zC5c8dX92179RAvvyGVfZsSUhKutpaCVYCEhAIYdHC4ks4s1TnoUOSG/Ysc/X2EY0aeFriewrf1zTrkoYnGfQ99h+r8fnHfI5fGNONI/afHLNxbpk3vXSFGy7v8fyrOxxbjFkcCBrBiCNnLJ1uk+svk6yOEvYeU7QammePwxVbLKMwYZT4aB0x04J9JwOUTvBkjPZgOJa84OoBw4HkhssTusOE42da7N6kaDZCVseWDdMDVvpdPng3PHE04amjI3ZuWeLGq7rMzIa88UU9vvMVlj2bWiTRNEdPT3H4lMfJc4ZTFyJOXUg4fEFwYjXieVde5D9+f4+N09OcPDfL+aUGF1d9ljqSlU5Cpxex2k9Y7VtW+oLzA8VSN+b5V13kx990UfqSXefOntw9HoW3tad31WuNmS88+9hf8Xt/+IFvNGTWvf29ZPA/+pMPc80Vm9VDjx35f46fPP9/P733mFpcjVgeK0714Zrt5/nNH7/ATXsanF+aYanTYLlTY7njsdzVrPRgpZOw0o1Z7sUsduDkikDXR7z4umW++xUhuzc0We23ubBc5+Kyz2JHsNxxEmGlZ+gODd2xZTCKmWtH7NhoAEHgWU5d8BAyYOcGxe4tli0bBpxfGfPkwRa3XGFp1Fd45tAsrWZIGHrMzRiGI7hmx4j33z3NVdtjxmPL/JQkSoa0agHPHhtR95rcdGXMU0dCzi/5bJ0L2L0ZdmwKUSri1CL4nkUIy86NMTMtSW8Y0B94dAcey13F8iosdQzLnYTFTsK5DiyNEnZs7fPdty/y4qs1Na/N2cU2iys1Flc1y13BSsew2otY6TlwL/XhXE9xfjXmBVed51d/bInLt7RYXJ1ipRswjlrUWruTemvTLwv/il+y0anklhfd8Y2Gzprb3yuA7z+wn3q9Vj996tSOBx56+m2Hj575TwePnCaximEInaFjlDPdmFsuO89v/PgSN15W58LKDEurDVa6NZa7HitdzUoXOj3Dai9mpRez3LWc7wjO9C2IPne8rMMbX2C4bHONMGyw0qmx2vfp9BQrfUFvIBiNLWFsSRJQ0hJ4UA8s023LhtkI7Y04fDbk6UMBJm7y+ttCtLfKo3un2LUZPvNQzMuuD7jQGVLTijiJmJ2BOPLQXszSUoOX3tzlMw+02L0ZHjk4xqPB615giMWQpw8nHD1VQ0ufjTOamaagHgh8X6AExAbCyDIKoTewrPYNvYFhdWBY6luGScLObQPe+MIOd7wkBNNiaXWKC8t1p7e7mpUOrPYSOv2Y1RTcywM421Vc7CY8/8rzvOPHL3DNzjoXl2dY7TXo9n0GQ81wbKm3txHUN/+HqYVr/nLr1q0nxuPR8IorrvpGQym//b0B+JmTB9iwYcE/cPDQD+7dd+j373/gcXFxuS/DCEahYTCy9EawOhJcGCjO9iJecPkFfu1Hlrj58hqLq9MsrTZZ6Qas9nxWeprVnqDTs3T6Cau9mE7fsNK3XOgJznYMM9MDvuX5PV50dczOjYp23aPbqxF4ElCEscQYgbEwGAHCMNMacfC0xdiQux5pMh7UuXyrz4tvGBCZVe59bJqbrvA4eK5PZ6XNC28Y8IVHAzbOWvYet/yfb+my91jAxlnJ5x9TvPgaxfKgy5GTs9x0Zci9Tw+Jxw1edK3Pnu0jhnGfOx9VkAgOn9K0GxotYDCUGCtIjCWKAWnQvqHTtzRbEds3j3nJNQO+5ZaYuWaN88tTLK3WWem6Y7PSFXT60OnFdPoxnX5CZ2BZHkjO9QSLvZjbrrrIL//IRW7cXePiyhSr/QbdfkB34DEYaYZjyXAkGMd1s3XndXbHzj0/sXvX5X+8tLwYXn/d3w+Q/70AeBJHMoqGb3ru8U9evtoz73jwoce8la5gMDIMRgnDkXEJmrGhNxR0hoILQ8mZTsyLrrnAr/zIRW7Z47PaneLiSotOv8Zqz2e1r+n0FJ0B9PqW7iCm20/oDw2dgeViX3CxD1Ey5sYrhmyaTegPLG944ZhdmwxxItHSEkZwz5M1TlyosXkm5pnDNTANrt6muPkqQ1Ab8OjBARcXm1y3q0l7eoUHnvK49YoaS4NVVlbabNpkeWiv4p+8qs/DezXbNngs9jusLM9y8zUDHngmYbY+zXWX97nQ6fDQc9PUdZPnX2W5cscIZJ8njwo2zEacvxhx75Meo0ghJSTGsmtzyLe8MKTXV2yZMdx8BYRhg+VOg+VOwGrfoztQdPqSbh+6g4RuP6E3SOgODKsDy/JQcror6AzHvPjKi/zSD6/w/CvcxdHp1ekOAnoDj95QMxgp+iNJfyjo9hIWO2Oe97xbo9jon/6+733zoVaz/knf98w3Glvf8EzmeDQgDIfff/rYI7954dzB2XPnV2nWJEkiEUIihECKGCENCIHAaVApLVJqHj6wkZ97t+YtL17me161zO6tIeeW2gR+nXrg0wg8mnVNry5pDT2mmprBKKE/TNg4dhdObxSwfLHGqZOWMDacPhcTBBYQ+MqipWAwVAg84oHmebsEe7ZYdmwdME56fPZhxb5DM7z2loCbr1nhfZ+1+KLBrq0DnnpAsXVaMd8eUFN1wsjjQg+aNc22jYIn9oXcfGWdV9y0yHs/NcT3WrzmNosXDPjiQyGfebDJc0frXLalwa7NCQszIbvnI67flaCUQSsLWBpBwMJ0QBh59AY+zxz06I80g2EGROiPLP2B++69YUJ/aOkOLatDuDhQnF+xNKY6/OTrL/LtLx5z42VNzi626fRr9HJwqwq4ByPLcGyJY8E99z3stabmfvPuex9afvXtt/3rXm/w3lar8b8vwKOwD/DDZ4498CuH931xttfpopVP4AvqicVYASi3zIgEKUAK10mjpEXJBF9Knjq4wOMHmhw8c4G3vKTPS64dMd1qs9xp0OzWaA99+gNNLz3Zw5FmMNaMxpZRaAgjSxRZ4sTdw9jHGpBK4GlBzRdMtwQzLdg0b9i2ccD8TIfPPQr3Pe4hzRSvvcXjeVf3uP+5iHDU5sXPE3SGQy4sNXnRlYb56QF1HTCKFRe7EcoInnelptEa89j+Gi+/eYoX3tjjsf0K7BS3XOvzQ9+6zBeeCPn8w032nqixY0GxabbOTKvBVAvqAXjaoiQYC3uPCpJEEMWCMIZxhPuO44Th2DAaG7cqjg39IXTHcLEvudCDsRnx6puWedNLOvzj1xjiuM25xSbdfo3e0Kc/9OgPFf2hYjAS9MeC4cgyGBmG44QotkSJ5cSpc7z/Lz87OwqT//Ltb3yF7nYH7263v3Eg/4YBfDxcwVr7Q2eP3/srpw5/fgNxj5rvAZYkMRgjcHVUAiEUQgqUJAU3KGXRyuIpQ90TLA7qfODubXzx8S4vu36Vt796let395mbbrC02qA3DBgMvRTYyt1DwTiSRLEgjt1S7/6mCyq1hpoPjbphthWxdcOAmD4HT0d88N4aR042mQ7q3Hqt5kU3dHnoQIe7vtrmtitq7Ng84P13C5QIaLciVvtjjAUlYKE9oNvzMXGdN73sAh/4TIM952u88bYBYbTEvU/PESU1XnDtBt54a5crtnf44mMDnjrZ4MmjPttmJbNtQSMQ+J67CKUAISzGgjGWKE4v1sgyjtyFPAphGEJvJFgZC5Z7IPSIm65a5e3fssrLrk2Ya9dZ6Tbo9Or0BgH9kStUy1aCwVgyHMEgu3BGCcPQMAotcQxIxfnFLu//0Oc3JAm/8u1vfKm9cHHljzYszPzvAfD+6d/ixIUrOHfscz8QR713LF94Zh6zQi3wEDLB4tjIunwkQoAUAikkSmqkTFBKpMuzwVOWQFvqWrAyUix1ZvjQPU0efKbPi29c5e2vWeWmPR3mkjpxHDAY1egPPYZjTRgpolgSJ5LECIx1EkgKS+AbGrWYwA/xvTGnl8Z86hHJoVM+R0/NoEzAns0+1+xW3HJ1FxVc5OnDLbZON7juMti0sMJyt831WyWxsXzu4YDxQDLdjHndC0Z88t6IE+daXHW5x9nVEc8e8di+cYYbd1/k/qd6PPCsYBz6XL17lqu3B1y9rcfhs8scOg0P72tw8EiThhYEWtIMLDUPpHRBlbXuYo0TCGMIE8e43ZGgG0FoYowd8fwrurz9W7q87PqEzbMBo9EUS50avX5Af+Sckv7ISZLhWDAcSYZj1zc6GieMwmJlGIeWcezildgoTp/v8Kcf/uKGQ8fOvWN6uhm/788+/r7PP7XKe3/1+//hAvynfu3dNLZ8knbP/mPCU7/TXz0zHSiBrmuiOJUf6e8KgQOblEgpU1ArlBJoZdAqwdMCXxt8zxJ4loafMF0T9MYeK90ZPnJfm7ufHLFxZsDbbu9w9fYRo2Gf63Zbtm9SjCOPJCnS/O7vGTydcPy85eg5werQ8In7G5xenMGGHjM1xZY5zc5Nmsu2wnV7uhi5yDs/2WR5eYrbrtZct6fDF58UiNhjw4yk2YgZRD4yTUYp7dMZCc4vC661DW6/pcdXHquzZd7ntutm+Wffusgff6bHw/ub9EceS6stdm+pc9XmAS+4ssd3vLzHmeVlPnF/wNIg4PhZj9OnfTwlkFIiEBhrSQxExpLEhpm5iBuuHTAeR1y9fcxbbx+zYUox2wqIohpnL9YYDH0GY7fKDXNgSwfusWA0do7WaJwwGhuXxAoto9AyDp1dOYoF4xjCRHPoVJd9Jx+a37V7y+/ccv3m6L2/etWfXzj6X9mw+9/8wwP4z//6B/g//9G3iX/2c+K75uvPvuutL3qscc3OGr1hjXHoE0Y6DRwtInsUziWQElQKcq0kWgm0Fng6wdcC3zPUPEs9sjRCy1QtYaYuGISSXtjk6Kkmv/bns2BiRBxzyw0Ddm8KiWMw1mCtS+JIIZBKoD2f/Sd89h6q0axpWr5kviFYmJNsmNVsWVDs3Jxw1c5VErHE7360zfET09x2pcfVuxKGcY+vPh0wXfeYm7JMt0IadSeFjJF0RorlvmWpk9Dp13npdas8snfAvhOK6XaNF1w7zY+8aYnf+xg8dqhJf2hZ7WnOL7fZNN9gw8yInXMj/u13DWg3Ojx1FPaflHieRSmLEAaw7n8W4hh2bUp48fUxSeQRxQHWNhiFHucWfYZjt6KNQpXLt2EoGI0Fo9CxtgNwwnhsGIeGUWTS99J7BKNIMIpgGAsGsaQbwWCYMLX81PTrnnfqXf/59GJ84OxPfejU/lm77ap/9g8H4L/yW3/Ozs1t9dsf/dAd589cfN97v7Jce2pfk3f8WIcrtof0BnVGowCtDEoZpDIo6aWBpEUpleptiaed5vQ9xdiTjENDECaMI0s9MowjQxha2jGMI+PYJBaMIsk4CYiSGvsONXlyHyTW4qDttLEnwVeu5qMVwHWboV2HqaZkpqWYm9ZsmIUdm8ZsXlglssv87kenOHxkipsvU1y2TbJn2wpfejbm/NIUt+yWzLQNNX9IIAOsEsSJRFhLnISs9GucX/K4+eo6z7uyx/2P1dg4I2jUWtx8peEn71jidz5mePZ0i9W+YbWnuLiimZ9uMtOuM9Oeot2IWGhG7Lw5JPBiPB2jVIIULpiwuIsqihQXLmqiWBHFijBSjKP0MZSMI8k4lIxCyTgULkANhZMeoTuu4zAhDFNNH7n3R2EJ2JGgHwm6saAXWsJRyPN2LvPLP3KBl195rnHhQvt9be9dJrY7Pnr0mT9Ndl//fd/8AP+t//4XtJs1deTkhbceO3Hmvc/uO15rtlp87hGB/0eGX/qRVa7elp6YUYJSCVr6aGlRSqOkxVMWTys8bfFCie8JdxI8wdhXhJEDehRZwjhxrkhcuicQJy54TQxObxtycAsBSoKW4HkQaEEtEDQCSbOhmGpIZqYEG2Zjdm4a0Gqu8tGvhNz79Cyri21u2KHYudnjiu0jErHK5x5u0PQ0CzOKVmPE04fhuSOa67dbBmPFjVdE3LDHcu5swsUVn+Gowetv7fHlp4YcPK1o1iWB3+b6ywy/9ANL3PPskE/eM89S17JzQ8JKRzPdVkw1PVoNj2bdUgsMgW8IdIJWTmrJVO9Zi0tYGUFsJHEiiGNBFEvCWBBFknHknJcwEoSRJQxhHCWEkSEsEcc4Kt8duIcRDCJBL5J0YxiMDcQDbt6xzC/88BKvvUWytNpmdeVYTQb1P1WB909Rsx9+9tG/SK57/vd+cwO8P7Jytdv5nuMnTv/Bs/uO1+q+pmFhXG/w11/dRBgqvvP2Dt/1qh6z7ZjeoIaSCUonaO3h6QRPa7xIE2jFyEvZxpOEviCMhDs5kSKKIYykcxDiwvaLE0OSOHchsalTkrolQohUAjnZ42tB4EtqgaRZF7QblumWYePsmIWZHrFd5UNflvzxZ+bYUKtxww7Bjs0eu7YYdm5e4aNftSwv17h6k2KmDa1GxPljkgsrAf5uGEeChSnJ9DQcPGpZ6RrOLda4YleNV93S41P31ZhrQeD7KDnN9XsEP/rGC3jyAn99/wzPna6xsRuxYTpmqqlo1RWNuqQeaAIfAg+0dg6Ts1VLIMdd2ImBJBHECSnQIUosYQxRlFp+kSHMHiNDGJEGkQ7Y48jp7WEk6MeCbiTpRYZwFDEV9Pju1y3y1lf0ePVNktVek9E4ADw6K0druqbfNTNntfb0X+B45psT4H/wno+RJOYH7n/4yG8cPnyi7XsKg6WlLZGVdGjyuYclX30m4NzKEv/nd/SZaUfUApdx9FSMpz087eGHCaGn8SPFOJKEnkulO8YRjolSVopjiBJIEuckGOMCLmNs1sOZgtsB3Gl7gacdQGoBNGqGVj1muhWzMD1kfmaVr+wL+dO76uw/Os2uKY89m2DbJp9tG+GqHV0GcZeH9rapK4+FGcV0C6ZbY2amYnxfI4S7uIZjn+VuxOrA0unHXFjx2bGpxQuvvsBdDw/Yf7pNI4jwlI8QU+zZqvi+1yzy/Ksu8Kd3tXjomWmW+poN7ZjpRkyjJqnXFIEnCDyJ57lYRSlS+9Ch3OJ6WI0hB3qcmHR1S63F2BAnDtxxBGFsi3vkXJlR7EhlEAt6kaCXwHAYY+Ihc/UeP/GdS/zU9w6o+z6dTovhuEYYaeJEAZpB52jb0/HvTs1f7x9+9qN/vOe6O775AL6y2kEp9cN/8O6P/MqJE6fmlJJgQSuoactUGtj12nU6I8Vv/KXP3sMrvOnlfW6/qcfG+THdXp3ROMD3YgLfYxxqgsjZe6HvAB5FkjB2y24Up552Qmr9kTK3dNZjBm6XpEyZ230mT1t8z1LzDfVaTKsWM9Mes3m+y/nOgN//hMfnHplleaXJ5QuCHRsEWzf4bNsg2L1lhPZX+cC9miMnm1y5UTLTkkw1E6Qcc/qiJdASKcBaQRhpdm7o8jAJ3YFipWs5v1znym01vuP2Dh/+os+x8wGejhDCw9gmUSy5ZfcKO7+3y+ceG/D+z83y6LEmW2cE882EZi2h5gsCT+B7LlbRKrVYpchrMizuIjMW57QkDvAZyOPESToHdggTV+sSZsmjWDCMoRdL+jEMQ0M8CNk23+UVN6/w5pcPeP3zDVo0WF6tMw4DRqFPGHvEiavtQQiWF8/M6fqed1x543eo4aD77nrj76am/O8E4ItLqyil/9knP3vvrzz2xLMbfG0xRhAlFqvIkylSgBaCrgjohpoPfCngnqd63Hx1l+99tauCm5sOGI4ChmOfwPMIY48w0nmgFMeKKJHEsSRKBHEsSRJBYkShtY0gVyWW1Ft3ySKVJot8zxD4CfUgplUfMz/dZxgN+eLTlg9+aYqHnplmxve4fqtl86xk45zPlgXJto0hl21d4aljQz7x5QWmlGZhStBuCtqNiM4g4TNfrdHyLUI4YA3Hmje9eMynH3Q1MZ2+4cKKZtuGFm95SZ+H9vXYe9CnGcQoKRzITYNR6LT+972qw5WbL/CBe7o88Nw0J1bqbGoLpmqWhm+oaYPvgVZpckxmTA5Z+ZFJpZoxxQoXp0B3BAFRIoiSFNiJYBQ71u4nuJgnDGnWB3z3a5f5ntd0ueXKhI0zHoNRk04vSN0xj3FUnLM4kekqKzh7cu+GevP+X9l91cvMeLT6nqA2/fcb4IvLq/R7fZQS3/+pz9336x/+2BfmVjsdPC1JkkwSpP62yABu8YWgpzQDr8mpbsCZBxs8+HSfD9/Q462vGvK6F4+YnfYJxwHj2COMPKJYE+UHzR24OHE1LBnAjU2Z2xQ1ZULYNKh0dRxaG3wvIfAj6kFIqz4kYcgXHpP8+d3TPHN0ChEF7JqxbJ62zE8rFmZ9Ns1LtixE7NjU5eTFHn/4ySbxuM62bYLplqbdhHYjQngh3WGT6ZZFCJedjWLJbKCITUwv8ukNEla6itMX61x7WYsf+7ZV3vEXAccvNtEqSi8MTRzXGIWSTXMBt1ze5YbL+jx7/DQf/FKdux6d5kynTjNQtHxoehZfWzyFC9hlduyLmwGscRddYgSJhTgRzj9PBGHikkTDRDBMYBhb4jjGRGPmakNe/+pV3vbqHi+7PmKq7hFGTVY6AePIJ4o8xpF2wI40YazSFbZIrIWDFY7u/8IGKfj1zbteFC8vnf6Ter1Jrf63B/S/VYD3ekOazeab77734d/7+Cc/3x70O9QCBWmKOjYFsJ08sOjUvfATQ00JBspnEGsujGv89YNN7n1mwAs+3+dffGePa3Z02TCtaDc0YZQue3EB8iQDuJEYK7GWtNsnA3ea6lfWJYt0TODHeCqkO4y42I347Y/WOHphhsf2TmONz1xdsGHeMj8lmGsr5qY9Ns5JNs3FbF0YMDe9wuceNzz63DQ3bBPMtCSthqTdMDTrIcIbEwQardzftxaSRDIca4ajiNgIekNDr29Z7nqcW2rzoqv6vPDaVT7w+Rr1ZYWWkQOk1cSJTxi5Hs/56RrP39Pn+Zf3efgVZzh+UfKnd01zYbXBqaUAX0mansDPZJh0xz8n8kyq4Jg8toLYQGQE4wRGMYTGQhJDHCHVmC0zQ27Y6c7HrdcktOuaOE4ZO/KJYp0SkCIMC1syiqVbaVMCcqUYktXVPs89dfecwfu9HZfdshKGw0/8bWLybw3gzz63n53bN6nf/cP3X/7MM/vbvc4qzbrnToyxJBaUESQpsAtwC+dxx5YgETSUYKgFAx0wTDyWwjp3PTrFV54b0gzG/NM3dNg2F7Nry5AXXddDC9ciJoSTKy4r6WqlrS0xNy6BpITzzC0xyJhnj0oe2af51EMtnj3RIowbtLRioW6ZbVpmGtb54G3N7JRmblqwaTZmy8KQzQsr3PvMmHd+agObpzULbWg3Fe2moNWIqQdjvnJAMQo1XtOBylpBGEtqWnHTlUMefHraFT4NE1a7HourAecXZ/ixN57n1OISDz6xgCcBEWGAOAXQOJT0h5qZVo3pdpMXXjngFTcM+N5XXmTfScOnH6rx0L46B440iYVmPFYMIoVKKzSrgWeaE7CG2FisMXgiYcoPqRHxwpv77N48Ytt8xNtfN6buS5p1jzBs0Ok5GRLHKiUcVXjtsSKKZCFLEhcrGSPSoF8AklHY48Cz97U7K2cvv+XF36POnDqUbNl2+d8fgO/d+xzbts77Dz708A/WdPIbo8Ey0y0PhEiLf8gfY2lRSiDjVAMnFhWDJwW+sQSxpZYIGjplkcRjmHgMkhq9XsKvf2AGG0dsXBhx7Y4Rc1Mxb33VkB0bQqIoZQYklJibVBpJaRBS8JF76jx1uInQmuNnGpw+36BWV0wFgummpV0ztGvQqgumGop2SzHT0sxNw/x0zMa5EVs3dEnsKh/5cpthv8kV2yzthqLVkLTqhlYtxvNCPvdgjfFA4m1w3aKZRGnWFa9/wZD7Hjf0x5L+MKE70Kz2NOeWGlyzu8VbX9blsWcbHF9uoaQBolQve0SJc5NGoaQ/0nT6Pq16g2Z9zDXbRtx21YiTFzocO7uK9hKePKL58JcaCKUcuIWsnkRrAAPWEoUJOzfGvO1VQ+bbCVfttGycgyT2GIct4thjpesRR4ooKVbQKEofY5XGRFkhWwHuOClioyQtqLPW59SZDl7D/sazTz86mFvY/ccH9u8Lr7zq6r8fAD979hSrK4tXnjhx6veffvJR2W6o3JZLjE2vWBfIKEn6aN2XlU4nRonFSyBWgiCx1Iz7eWgsYSIYG8k4kYTGIzJwsd/mS08ZLAkff8iNbMCa9J5l8VKLTKQViUIilSKONNJoPC1pBbB7wdL0DI3A0AigEQiadUmr7uTQVEsy04a5qZiFmTFbFnokrPDbf1Xj/qc3sGcOZhopezckrXpMox7SbAyp1xsESqJkqsFxF3oUeYyGguE4oTdW9EeG3tC4lrmmz6nzU7z02jE/+V3n+c0Pa06sBghhsDbCJJYo9ggjyWjsylhbQ02z5tOo12gEDWpBRKsecssVIb4XcesVMW9/9QCt4jQJZBDCVkV5KumMcbX4gacAn9FYs7SiXd1OksU86T2WRQwUyxzMUQbouAB2Bu4koWQEpMcjgQcefFReN1C/v2Fl+OUwHD3zt4HN/9cAf+DejzE1repHjx684/jRw2K67bvEQZz6q8bZT0n2XAmSxKIU6CTzYkGn0Xt2IcSJIDa2iOyN04fuLgiNJLaSxGgiE5Cktlf5lmcpU7dGS/AU1OqWmrbUVELgQaCh5lvqgaDuSxp1SaOmHcCbgumWYbYdMzc9ZsNsny0blnjnpwzvv2sj26cV8y1Du6loNRTNBjTqCa16xNklw+GzATXfXdCQVfoJRqFm9ybDpvkR3ZHPcGRTFpes9jSteo1WY5q3v/oCR86e412f2IqWGoshMQmxsUSxZhwqhqErihrUJI2Rph541IOETs/FGL6XuISZl6Cla5SQ0qXzRXonreAEkYJc0DFplaVxcU2SSIyRxKaIdxxwC22dJKmblRQZ08Sk4E7cOcwAHqdgz6oeRyPLVx96XOzY1b1j+/adh//0/R8eft8/ees3FuAbZq3fH5z52XBw7me1HMlWQzIKQUWi5K2aKtAVaCPyRIxW6ZfOkg/Z7xpKd1uk2dNKOeflijxQKmtuoNQgAVoap/mVWzE8JfC0db6xFtQCSc2X1ANFvaZo1SWthmWqmTDdipltj5mfGbBj4xIPHRjzgXu2MFML2NgytBvCgbsuadYMzVpMqzHmof3w5L4Gly/YVPcWafPhWHHrVZYrdgx5+JlpBmPLcJTQH+oU5B6NWp16bZrvfvkyTx64wIN7N4FVGJO4ctjYEkc2rycZjjWNkaVeU9R8Q+B7BH5CoA1aJ3ja5PU+Ki1ok8KCcMXJGS0UwbkrITaZI2Uy1i1ZsSmw4xzEsgTkMrAzMIs8P5HbkWlJxTi09Id9GdnT/09kan6j0fplIPyGAXw8GsgoGv7iEw/8yb/ud0/7NT9wUg6QUqRJF4uKnUSJpSFRRXIhURadMXsmY5KsVsTmy1dis8ybxaSZuCxZYa2llHmvrLhVxyZNxyvhAJ4XbbnsX+AraoGiHggadUGrbmk3EqaaMdOtMXNTQ7YsrPDg/iG/+N6NnDg1zWXzhukGtOuKZl3RrEGzllCvRfjeiM7IoqTCUxYpi0/mGE0SxT7tesQgNgzSOuvBKKE3kHTqikYvoBa02LUp4pd+sMMvvE/y1b0bsSiMNSSJIU5iwtgQRopRqBgGkvpYUfMlgW8JfEWgDZ7n/H6trAO4cgBXqUwRwlYbdNPUvk1JxKa1LIkVOdBzwCc40KegzgFuRPo6+84FkcVJyXOPDVHsirmiGA4fPe1L3fzpf/ev3uh932DwH5qNxv9yOv9/GeDjURdro18+su++f3nh3KladiITz2IReQFTFAsSlQI9cSA2OagzsBcgLwPb5B4tWONa2JK0BLR8ZwLgud+egVs4cCvlVgudtqJ5WhL4bgBQLXAjGeqBpVkztBoJ7UbEVCtktj1ky8IqD+4b8At/PM/+E7PsnHUOS6suaTakY++6pVFLaNQioiTkzz7fQiqFJy1KFDahsdkS7vF9r13hzkdDemHAIAV4f6jo9RWdQFPzAwKvzVXbY/7TDy3x838seOCZjRgrSYxLq0exKzQbh4ZxzZW7BoGg5gkC32U2fW3zjK1WBqls2iFlXaNEBvAi5QlkzScul+DcljSQzwCcTh0wJU2dZCydg5yctQv2tsTGkKStbq7mxWVSlVIcPXa89snP3POv7njTa8TKSvfnZmb+1zKd/8sA7y4fwFr7wotnHq4bM0YI7bKC2hSdOLErZIoTB7BEiSqoE4tR5GA3JYZ2z9NHk7KItSlrk5U7Yyc+VwbwrAZD5fXkIq8jdwCXeJ509Ru+oBa4mSeNIKFZd+BuN0Om20MWpjs8tG/AL75nlmePz7NtRjDXLEmTmqZZc/Ur9VpMPQjxvDGnl2bwlEBJk9pyRZCZJJI4VmyescRxRDeqpZ0yhuEooTeS1AeKmu/hezU8PcXV22L+0z+7yL//I3jwuQ0kRjqAJ5YoTlImN4wDQy2UjHyVSzDPA087iebqVJxNKzNvPH1cB+NOrpAmhRB5csikyaEsW5wkpffL8jIHdlETlJRqYOLE5j2dSeL+6mAYcucXH67v3r3rhWLS8fm7BvhjD9/JqfOqEV78iB+HKyglSaxF5z2NBoFECuuYU0KS62xBIlOm1uRgrwI7kyE2B7rN5Ej2/BKfTYqiiMo1S4gc3ErKtFEikydQ8yDwDfWapR44/dyoR7QbIdPNIfMzHR49OOLn3z3D08cX2DKtWGgapuqCVk3SqCkadUG95i4Ol+oPeXCvoD/yqSnSi8ytalkTQmIEUaxp1hQvuq7HQ8+2GUROpgzHCYOhohcoAl/he36qn6e5ZrvhV3/kAj/zP+CBvRuIjCQyJm2WLnowx74k8I1jb6+oo9cqu5PKlELGyTTLux7Is6SQzQCeAj7JnZeigKu88prUOChW6SrBFaUBhjguVm8QXFzq8M73/bX/0//8Wxt/9bHPDL7jLW/8uwf4xfPHmZ3bOv3IVz/+hxeXzcuTqKinNsqWsoa2on+TNMmTGEh0tqSBUWJ91i4B2uTALv59Uu2dnwzhCoqETMGdFhmpHOCg0opBT4Pv4TqB/LTAKkiop/KiVR8z1Roy0+ryxKExP//uGZ48toFN05qFhmGqDs2aoFlXNOqKRs7eCbUgptUYce+TPqudGjMzRZo8A4xJtWmUKDbMKV79vD73PmJcF01oSiCX1DxJzdN42kfrOlIartlu+ZUfucDP/A/LA/s3EBlNlFYAurJXx+RBJPPqQl9LtE6LsKRAaZGTT/b5soswkyoiq0qjSAhN3k3psZzvKFbe0mptywAnd9aysuak5KIJIZAkeIxe/tjTR/7on779O3780OFjq5fv2fV3C/BB7wzj4cWfGXSOfM94uITW2nXESFdIVWhggxQCZSCW6dWtCl1mVFlnp2BPkzMZe1cCyUnmTpGeZeTyvyuzCrpCd2cVg1rh6jO0xfNcY3HNN9T8hHotplGLaNbGtBojZqc6PHZgzM/+j3meOLKRDdMeGxoJUw2bgjtl75qkHjj2rwUxjSAkNmN6YYBQEi9j8FyDi5Td0gKxyKPpj1y5QFhjJgP5KGHgOwYPfOlq4nW2Aa3l+l2Wd/z4ef7dHxge2LeRyGjGiSBMTMriglpkCDyL77neVZ3GHVq5EmHXBuiOk5MporQCuqOaX5jlWGcC3DkJlYipDO4M7AWTFwVeBaunFY2G3ESQSnLm3CJPPXvke778wBOHx2H07/9OGXzcP4bf2LrzuYffdQPRSRoBGIxr2DUZcxfBXSJd4KiUSAPLVJvZErjTIMVmwaQtArGCKYqspC2vmRlrl4PKbLlNa1xUGkxpnXYGpUVIWfVgzUtS3RxRr42ZaQ+YavZ4cG/Mz71znsePbGRhSrNQT5iqWVopuOs1Zydm4K4HCTU/pt0M2XvMcs9jTXwp8ZRJg7jCo8iW7yhRxEZz+y0Rl1/W5/CJOgsNij7HccJglLKwVmhdtPEJYbluJ/zqjy7y7/+H4cvPLjCK6i4ZFlsaaQ134OFArrPVy6QSRSJVkq9wSooSwEUJ5KzRKwXIbRXgtpCV2XvrxVNJ+jpncmtznV7+uQtqFc8dOIt/1yM3/OK//9Gdzxw4dfz6K7f97QM8Hh1DBdO7uhfu+y2RXHiztD08zyMxDuBJWt8gpUiZ22nt/GpVYo07Un4s7CiK0RFll2SNWyIqF1QObmGRKrMF05oXlbK2tvja4HmGwDMEfkzNj6kFIY3amNmpASu9Afc9A7/655t46tA88ym4p+uWVl3QrIncK3fOi3Hs7TuA14MxYZIwGtaoKXeRSVFa+sk0q0gDTe20vB4zDi3DSJQAbvD9BN/TeJ5EK5X3qmZZyBt3C371x1f49b+IeWDfHGc6bUZNyXRiacWWWjpxIPBs6v1nTorN2TuTKhnA88+bfugyznOFmJ6UYmUtld+WwV56LzvPTq6UWLxMeNbmWj5zbZZWhxw/s/Lmj33mq8mrX3bjv3r24Jlj112x5W8X4OfOnkHp1duWzh6+4+K5IwgZoLDpsmuRQmCkO3FKOL9UmWphTWJL9dkmS9LY6nNb1XtV1q6qwuwkuHEPGXvbvFKxGA7kymI9bdIxE0kO7sBPwT3b5+LKkF/5swaf+OoCi/0ZFqYkC7UU3DWnuxtpYFkPJI3ApgzutHctCIGQu5/wWYl85gIq9diI6gqVJK75oR1oXnXzgAf3h/SigKm8Y93gj12tuq8dwLWyKOkhpEvQYOHq7ZLf/BddPv3gkF9+z0ZOLc4wnNZM+4JWbGjEEERu9LKv3EAjLws0s4FKpcdyoF6+MIXIe0UKFs/PVQnsJbfLlKRmweRlrZ4WeuWJu+Ln2X+nteS5vQe5es/GO3ZtavxZtz889rfK4OF4gOfXrzh64IH/6/jRA2hRw/fTTBjWMZK0lcyXyuRHKTmQR9vlx1yC2Io0qbB2WZakBzpjlizdnLkAKgO4smjpgK2VA7enE3wvwfdian5E4Ee06kO0HnDvkwl/9Jk2n7p/A6Fps6EtmK85WeIswMwnV+ldpMxdZu8Ircd85blpBqFmcyP7PJMMnllpkihW1DzFC68ZEhsH8GEkXNd61rk+Ni441CJlcXchizS5bhHMTwu+55V9WsEZ3vOZIfc9N8e5qM6gJmnHlqa2DuQ6jUOUTeOSzOnKjqEoasclSAoWL+8oWD4lOZtPrLzlOMrV5VNldFsFev57Jccma1Bp1xXPPP0ML731yv/rda956eP9/uBgs/n1R8J9XYD3Vo9x7thn8GtTW0bdQ6/QYhHf1/kymV3N5dSuzbW1qII5fS87wRWtTaG1C2CXrIeyfSXshDTJsnKuYtCNdjNpzXcKbuVqMQIvwvcjal5IozHC9wf8+V2aX/uTDRy+OIsX1NjUEswGCe3A0gygmXbY1wOX7aylCSFXv5KkK4GTJ4vdhH7o4yuFL20eYFL6KtmFnaQ1G2HsUfdGbJoesjpoMYxEOm7NxQqel6Q2n0rtTpXOjSkHrq7y8c0v63PrtRf51T8d8f7PLbAcNxkEHk1P0tauBifQ4CvyZgidJX3SlU/mUqVIAJVJpSpW1mNz1gE7JW0+ca8wtqj8G5AeP6k4cWaVLz2w9xVLnXjL0nLn4L6DJ7j6ih3/7wBujWFh2+27OkvPvnOw8gzNukGIolAnP3G2ONAZU1drGbJsmCh9iSLAtJTBXSp1Ld0EtmATWbIiM4BLi5IGWWHuJAV5jK+dJAn8MYE35Nj5mHd9usnHvjzHkfMztBseszWYCRJagU1T7xm4ZQpumSeFaqn2Dnx34bSbYz76Fc3B43Vq6QSuvF2MAuX5GAebFifFmqt3wrfe2uOPPjtHv6Fpp7NHgjCNG5RB62zCFyWQe6WT5VaFHfOSn/snA27YfYr/8alZjpybYjmuM/A0TSVopED3pXUXTuoy5atfyeIVIt0UJuvrFJCVZVWYPFtps9KJnIXXsRVNFeAZDoqsaZHEyy4ulyhSfPmhvdx2yzXv/M5ve+kblpa7X1eqfE2Ah2GM5ynOHH9029LZ/XtGwx5BkI4zzlgUm3/dMsgzSVKpZbAi94Ezxi+zN6Wr1qYnjIyxM5CLAtjuMRul7MDtXJOMvRM8HbvOHR0TBGN8PaaXhPz+h3ze8+lNnF6axqg6s1OKWd8y5RsaKXM38vS9TOtUUmmSeuc5uH2XvRxHIQdPBfTDgJkgdXGypFPmSmRZWFuqSYk07aZm97YQFYzohS2GvqAeuQIkP5VXXipRdOZ6CHWJ4FWxMDXgx9484I7bz/GeT3d510fmWBw2GeoaNa1oaEFdufp7P+32UVKk2U3S1dCuz+RU5UoO7vXYnAlwl0htUpKYMtFl/1guRUEKxcpKl8ef3Ltndqq27faXPf9YFEV4nselbl8b4MOz2KS14HnqQ8sXHvNqvhuXptJaYlG6jMsyJWPkHMi4zvYqyzsAmwpjC+y6n8SW7ECbA7siT2RaJafc59M6QasE34uo+SG+F9IZhXzlKcmf39XmI1+eY5S08H2fOV8w7RuavqURWBp+Ae5aIAkCSZBKE5cYSp2JFOC+5zKfR89a7nu0QRh5BE27JsDMbkU625WihpHC8zSvvrXHB77QZ/+pJsOaG80w9ix+DF5k8EKDUtL51tINJM2H+1CAJzGS2EgagWbj9JB/990Drtkx5v13tXhk7xQXh01GysfzNDUtqEsIsgFLmb0qbTr0lBLIqzUrk8VZZUbPCMpMAL2isXNgi4qsMSVMZReTxHV/BUrzxS8/6b3mlS/40OJS53mrnd7F/2UGb7Zasrey77be+S9MTTdXXZAjE0RmU5W+XBr+TWjxgrVt+rpyIWTALgUU1exk8QdkxuR5Stnk5Z5Od1u0cpOxlEpyOaJ1RKcfcf8zgvd+ts1dj02x3Gkh6zVadcW0Z2n7hoZnafiWuk/K2o6564Gk5itqvqDmk1bomRTchsBz+lvpMQdOwelOzSVWUn1bTZwUS6/rg0xrpY0kDDUb24Irtg95+kTMIPIYpzO+/RAHPpVN1s0SNSAn6jSyiyezIaPE1Ye/7dVDXveCFb74eI/3fa7NI3vbLPUadKRP39f4SuBLQSBxPZzS7VKnRHGRKpGW/a7D4GvqVyrEV1rdKWlzqgDP+0MnGNwJPPdZxkrQHce88y/umfqeO7jtBTdf8Vm+xvCgrwlwG54MAi/6A49nm9PtAQJZ1A5PdoJQbvIttHgB5gLkZM9LWrsiSfKjVpYmlnKBvpMlJtXcxk3Dkgl+5mbIiIu9mHsf1Xzm/hafuG+KC90molbDa3m0NUx5rpOn7pHKDqj7Ir3LtOQ01d2+IMjYOwO4jvH9mJofYm3E3Y8FHD9bZ35W4EmT6lhRNPqWj1el3FQxHHvs3Ch49c0DPvbVkH7kMYwENc/ix47Fx5EtrVIq96sRsiJTsm0V80YF4/z2ejDmba8c8i23LvHxL/f49P0N7n2qxYVOg6HwGfoa7Sm0EHhS4EmJJ2wqtSwKUZKGVftw4uuln6W46LJHi8gBnNeskBZtlQDuxoeWWCHdGlLGgNHc++Tp5re+0f7B0wfOXQMM/6cBvtI1rIbDfzxe+pPp+ZkT2NgjjNOOdeO+Va6brVuDTYWZRcHa5ffI9HYZ6CWbJP1G5WVQlIDtSgCcJBEpwLVO8HVErRYxGifsPw3Hzig++PkpPvtImwsrTfBq6LZHQ0lanqWlDXXPUveg5jlw1zw3k9CVmcrSXaQ/tynITQ5y33PtaYfPGJ4+GoDnpcu8LaXoRQUF5eU6r59O3Djn63ePuXZbn32nGwxrgkYsCCLLWJFaeyZl78xNySzIQqvkPntqRRqj0ukDHqPQo14f8wOvH/OmF61y56N9/vILDY6dqbHvdINwNSAONCOtkUq6dD6g08eMyXPpAhXCqzB52U1BlADscJCkr8vgLieNLKagemGLjGBsCZcGPPXcE8zPfW2r8JIAv7jSEWE0/sk//JND01dsULzgijE3XxEjlUBp6RpOw6x7XaYAlqkMmWDvCYBT6njPl6LSoRGieBT5ipF1oJh0l4eEIHCTVOMk4dwSfP5LmsOn6tzzUJ3TK3UOn2lCEKAamppWNLWlqY1zETw3OL/muXFtDsTZXaZ3lQKcVHOn4PYSAs+xt7uwQo5ehL3HGniyag/mEoWiHrxwE1InxaR9jbHHtTuHXLFhwDNHYgaxRysSjDX4sZsJqEoAl1IgpKwwecaUhb8s8mA266OMEo+x59Ouh3zfa8e87IYup1e63P2wz5GTAXc+1uDMUo1k6GGkJvIVQkq3UmT7JpFmPCGXLRkhTTormSyzJX3tHk0+To70taP90qMxEFmIDcKLkTLmBVeOuO3yMS/fc/f8t7z2p/6vf/OPj7xDBJetG75dEuDveM9nieKED39qCPE2dm/qcd2uIbffMuLaXRGbZ0L27ErQSOJQ5mN6jVGFREllCyWQkz9mf6kcWGaJHDvB3CUpohK8ICFKLEdOCp4+ovj8Qw2eOerz3NE63XHAOAzA81Ftj0AJGgoa2lAv+cCBzuo0srJZVxcepLLE9xW+L9MLwBba20tcZtFzOr/mR1gTcn5ZMrYBWkt8adElm22CwHOQJ7ba7xjGHgLNwmyIVCP6kcdAC+d0REXBmFamkoGUmUkNkA07QmCNLJi8NBjJS1Q+fmIw9tk0E7JjY8Qtl40ZhkP+6dEOzxzz+fyDNZ4+WuPIiRpRrCBQWKlASBJZygbl9H0JrVLOcOWMloE49Q2zR5M1jrsGXI1hz66QrTMRV+8Ouf3mMdftMmxfkFguNEfLd3/PSOh3/E8x+Hv/4rOcW+qpj33pkMBquvE0Tx6t8fSREXc9PGJKR+zYGnL9VWNed+uYV94cgnU1DvVmJl0kGNd06rbZTnV6xuCsPRgucHXzSzxtQRiEtEShZTByjH7slOQv7goYRIonnqtx6GTAYt9nnPigfVAeqq3wpaCuoKEsNYUbZ6bSwiPlWNv3hEt6lMHtSfxUlgQ+BD6pa+JS5p42+F6cZkQj6rWQCysJn3+gRacXMDMl0KkXnxV9TZ73/FyXs71GMh4r5ucUr3vRiDsfGXKi02ToSSdTNHixxYsyzzr12GXi7ELKs05k/jeM1aW/4YDuJ4pEK2IvHfsQec5K9SKafsTLro954TVj3vKKEQdOSp7c6zEMFe//fIOj5zwQksFQk4QqK9/E6gzgE5ZRBvBKWtrkz0VsEMY6OWIs9aZLyAkMr7p5zGufP+a6q0J2bjG0tWC2qYgTn9G4xmAUMFo+LGTtherkwc/E269YWy9+SQbfNNf6fS/q3jjtJwgp6Xl1ksTj4jDgYhxxdDnigWdiPvzFiPmZGGsMN18Z8rbXjFxlWAwL0wk3XR/SrBUXqajUk1SPQjacpzMQPPmUZqkrqdckD+31+OSXa4wixShSnD3nY4Qmsh5GeKA1ItBoKfGVoCYttRTYgbIEyroacJ16vrpgbj/ry8zBrdIeTZGzt+8ZfD8r0Epy9vb9CKVCvvS44mNfbaF87ey2iv6+NINnXnjRja4YjTze9OIhn/hKl/ffPUU/rtFMdbiX6fAoS8rYvFtICJkDzP0pWdL6JYCbdEaJdkzuaUWsNTpOHNBVglJuXvtMLebFV8W86KoIK8a89ZUDRpEb5/bXXw54eK9PPRAsdhVPPuPTHchUJYl1z3CRBHCypFmz3PS8MfPTiSvASixve82I510RYY1gYdowOw0KhbEeceTRG3iEkc848hmOPEJjbpzbOvP7wI/9jRh80O9Sb7Ta73rvR69SRKqp0wOIoC88YiGxWmOMx9jEnOsYzq0mYBMOnDB88ktuebHGMjWTcNsNIa26K6FcNz1ZvsxT12G1r3jkaZ9uRyG1dDNRrHbMJDRuLrAGqZFS4knhwCwtgTT40gHBV+CrYkafA7koGh60awTIGo/L4HYMn5bVehmDJ6V7TKAjrA05vegTjmsEUxI/TXsrQe4j51lMkZ/fSj4g7043ijDymGkpts+H+GLEMA4YxoK6dkMwsxqSLKGlZLm8VeZ/y/0NmSZ/TJE9NSbtmSykURwnad5ApfsfxURxgopcLkGrBCljts2bdMUwXLNjRGiHSG3odASPPK1ZHUhUrliqQXWZzLGu+aFZs7zwxoipaYtN3LGoS1esZ60gMT5JpFxZcaKIE02ceOm4DJ9xqBlGqNpgfNWeG7+93e0OupNbFq4B+NGTi3jeyjue3X/slb1eH18rEiwt6xhpKBVhIkms5/qRjAGbAAmxNXRMOiFJWrorlrNfKjuj6wG8rN/SkyMEJttygbTmVKgiyJEytbIyUKdpZ0m6cWvmG5ceddpJr0i33iMHt2vrUvgpuH1NXmLqGDxlcW3w0+yo50UEQcTJRcOf3tkE7bvpXLKU4KmAr0pkGbtmQ0Id2NxgnTDyePvrhnz83iHPnW/RTzwasduU1lUB2qITR2U5gXKwl5UuZlJIlgq8srvJa2G0VniJm5fipUBXskiaubrx9Lkw6eCgBC0swibMNwz/6KUGRFLkR0S2f4Zde75zSAis0Zg4i9cEcSSJrCCxaTxnJInNjo1OJ2hpoliTGE04HrCydOSVg5WT7zAm/udfl8F/+71fQEjh7917jigR6UwRCKTjBS1gJASjRDg2l9lQ+TRAUOWgwXXZV+x/O/FlK7lfWbyXBi9CZrsdC7ePjnBp5UC4akFPutdaktZUpN3jWSGRpjQHhXRntqKrvgC4zGVL4Nu8pc33TWlwToyXsrevI6QMOX5OcLFbQ2hNIKnIkzw9X7LQKo5CqfCsCATdjL+59pidm4bsOzdmmGhGCQSJwEssXpzq8JjcWSoOo6p0KmQxnZu0a4vS5VwaGXRiSJRE6Wz7cpUWqyXpfknFXUiDSkEusr+NmbByi0Rg5oAVF3de7Owec0ctS/bIwse3AmMUJl3d4vzRDR6yNt2IjCP0L/yVn88s+VoAP3T4OCDo9YcICoCjbH6KlABfQGhEerUJDBIj0xLJdBmqMPel1Ekqf8iW8tyCyjxX0AI8YfFECtpUAmTP8/dSsi9KQckbbH0lHNgr4Jbu0c+AngWfKbiz7h9tconiaadPfT8iJuLTX6lz/mIdb0rhl2s4yg4KE4q0UnwkJoJAxWjsJti+8SV9vvLUiG5cY6A19dgQpul0JYuCqKzgTAhD0TmUBZqlLKHFAcYaEkvahCLQRhArgU5kuoudq+WJU6AXyTSTJ9ikNKXEm6kk4UQpGZh7ZJcItCtlGrlskwXYTZZ7kXn8kG39aKxbtZJ4SGf5BHYdkFUA/vFP3kWrWX/pBz92z63P9mLG+YFJ9QkuVausY3JfQpzZXc5/dyeMasZqXVxn9yxZIEBlj8KiIbfaVJoydvNNCo2bTah1jyIfhVAGdj4HReH6EdcDeBZwZrpbZ7LEpnq7WkvuexG+F3KuY3jsUB20j07liS4VKGXZPjGBcJcTKFXd5X2pMvfEo8jj5svHzE0P6aw0GMSKhgIvdt9FJeng0qgMcNcLW1Q4yIlKTZH2TbopVUYZEiPwjCBRkkQZN8MmBXm5eC0rh5AZyDNQlyZkCRyrFyXNOU+vrV3JF/QqwN3nlHlRXv5ZTTY2rjwD3o2HG4WaYTJ/68K2V730mcffdP/1N796fYCPxxHW8o98ZW+SJsLTHlECOlvnhABhUQYS4TJQni0Vr2eMARVwrwkyJgCeD8QvMXc2ck2VQJ4xls5qI9Ia8KzU0zUXZ50qTpaovHulAHbWfOvYO9XcmlxvZ5agY+wC3F5enRghiPjUlwO+8kwLGWh8Kdz87byCsGijKyr+JrOZ5Zr5zBNXJEYxHHm86Loh3/qyHu/6VIswCegnklpiGcfkc9WLqj+TyjkzcUFdisnBaFkMR03BnSiJUsYxupTpaAlTKkUu1wDZAuTrMHghm+wEAFI1UFYuOdizXElRUpz5+SadlZiUWT2RDIYWD3mTSYb/yJro/nUZvLd6imar9bo77/z8P1lduegOVtqKZqVjV4wrdjJCIC3oUldGXlRTelxj9E+CPAV3BgBZAoWkqHkojzbImNttQZK9JmVw8jasCoun3TCeqoLbjVOYYO60Z9NP29s8nTUcxKV7REjEX97dJrEBKs9elgPMoq8xczYqGpyJdj0j3SiNpAioBB5ve9WAP/v0mFUTMUxqDBOBF5OzuJTWDVhKi86cXTipRWXJmhQlkAsSbYueWWVItEUZJ1cSZVGJq2B02WOZlyYXFmW5urMoY86bUkpAv/R6Xiq2SzV6UctEWldTEEFSknXWusKzxaVFYr/7T553yyvvOXT09J2X795aBfgwHKDGXH6hs7TnxPkVoqSRLzEyjf8EhWTJZl2XSx2p1BGs1SSCNN4oxZWZPMmBPlGemWvxCc2Zgb4820MpUWjxtOKuMuwmBbZWonBScjvQddy7xmSbMncRYOoSewdeyGOHJAfP1LDKQ0mJLw16sk6jJMAnXZTsnnc8lU9g6qhEsceeLRHXXtbnqwfqRMpnGAtqErzEomORyre0CydOdTjSyYUJAFXq83NplHWyZ+6Kq3dJstntqfQrwJ3VAtm0TCBjcvLVo9wrgCgmZlEB+3oAt0W2O69fSRvRy8NAyyXXwlIPYDA+h+XcnjjpX27t4M41DP7A0z1azYS7H7ccu+ixsU1aa2zzEyWEI4cM3HYC0GWbe02msvTOZCNrBeglcKu85ruw3QrJIlz3vCjA7YJMkXeL6xzcsgLw8vAf121PDuw8W5kzd4KvXWLHdQVFWCI+fHeDpaU6ItDOdy9fhJM1KOWlq3Ssstqhch137k0bZ4fNz0q+69U9HjvUZpzUGCifeuK0eFbOqiQpuLO1wqSeeClriKxoXueP29IFVp7kK1EmW5Fs/twBXKbf0+Rtc3n7opBFc0QF5EXRXH4oRJUCq7VJosBTXlNeFO+ZEtNnnVw7N4Zs3tlhrn2BJB7k/24O8N971yeRSrK0tEo7UKUPVYDTAlJVe+YmOzmKh+oXKJ/kQntPPJYBXWbxynixgrFlmcGVKLF4JlckSlcB7ut0AJCXbR2YZji1xctT8SZ9nlTuWrnOneeOw4fuajGWPkqqNHtZvRAnM5hrL/fsxDKhw1OtmSY2gkTzXa8d8d7PDnjqSJ1IeQykxE9M6h4JZGJLx8m69jJRtmdN+req+xaVmTwxoHML0U39VWlJgEpsMawzn8si8gs6ntDjGZjLDRLZ8wLgazEyWYBX7hGoNNNYUfkvrTUkpsbyhcP0ux/AluxCDXDoyGn27N7S+Olf+P3dj3UvINOB7eWElM3jAkvV3lkL8PVu5aWpcmVPsPf6EkXkwJkchyxLjJ0FmdnUJq2zTV5T7a0mwJ2l772sMdm4mSF5i1jW0xmn9wjlhRw8remFPiidyhM7UR47eeFWEV4daDThhWdOgSm0eNMTXLV1xFMHQxITMDQ+tcTVbOtUgyvhBli6xFK2WhqyILNg8syGy/pkQeeDTd17ykAiHeBVujuFNMWEgGy6VpJ19+cGQBFcinTiQtGsXNXi60oVkf84b6DJn5dZfRJ7VpIYj3GsmVLbdj/vJT/RGHT/xaDR3uYAfvzkWRaXV1+7dfP8zzz86NPUfLmGg23lD7sXWTFYpS699B9UQF1i7wLkLp9TBkIB7KKPUZVYUVWGamYgp6iRViVQ58/TJI8i9cIduB2Ai6FAXlmelNlbpX2dfshyz/Df/qrF0rCGCDwnT6StrCrF4Jz1KzIqQMeVzWY6s2DwNKkRa9oNzU98R48vPtZmaewTSs1QSvy0h7IY+ZAyeFbxk+rirIzWYlJwmzxzWG4b0+mQpixIz8CupEgZ3EmiJHdRyGVKocOLdsJCpmSBZ3Y8ivdtCRtl7EyW3BbPqyzvbjK1EyMWts3/zMqFvfdH0fDjOYM//cxzBIHPyRMnUDJBa0ViikGX+R8Qa0H8NW9lQJdfT7Bb4aKIAuRyUqJUB9PkwJbC1ajLSYA7m0unkkTnAM80t8mDSk+bHNyezuovquztqQjfD/ng3R7PHq6D9JBSEmSlsSVrM98jPv2Sl6wmpGDzfKeKkkyJjWs5i2OP6/cMePPLurz3szWMDhhKn0CKPOmjpCDKA7q1TC7KTF7usCoFbEaBsm5VMNbNtslmOzpWFxRjJYpZNMVkWhevCVkFeOaIlYmNCuDXHJ0yaoq3xCTY3e/YNH4Zj2POnTlDGAUk8Zgc4HPTAbUgYHbKo+4X1X55fdTXoqFLYbt0eRagFvnP3NYZYl32LgJLUbB5zpBfD+CyAHie6MkAbt2c7FSKeKpwS7zScKBCczv29rSbWrXSMfz1l1osdgKope6JKAVjl5Ao2fecPH/r2na2SGqYJHNTNDNtxbe9csAnvjJiqR8QKs0wkak9KVL3RhTN2LJgywzY1hZdPyZn86LbXWfOikqfp0NTTTr+OjvuZZALKUrd99kQz1R3y6r+LoPblfeWubAMlkv4y+uwROYOxYlgMFb4o4AgrJPE7rvqpQuHmJ2d2fXVBx/9yQe+eh4pVTq+NnVL1vWw1/nDE1djJbhaj7mzL5gDW3xNiSIqwK7O/i53uLjh7lTBne1skDG3KjH3GgbPxk0UIye0cpnLo8cEB47XMAQIqfPm3KJ6sBw/iJKrURyQci1KDvIsTV0adVckM1ywidVcvTNkz+YRS/vq2MR3LJ44maJLLk4R3JULvbIaIVmUvdmUzW3hkxtZbP1Yjm2UcReNkaTaO01oyYKMcnAb4fS3FLk8KcbAFW5PYRfbShm1EJcGdtVuLW3RDnhacer0eVTjqp+86prbnnji6UPH9GJnREx/09ml4ese338OYetuR7DsJJWBvY4jsKa7ej1g50xWlibpollhbjEhT0TJmRClYLMAtGNw0lHAZR+8fE+3tFZlcJdAnu5X76WloRl7q/S11hFKRXz6qy0OLtbBL+SJV7Iu10qur01C1RHEpYkE5d3NsjLaUHPZfMgbXzTg4ecaYDzixGlxL0mzu0lVKuXAyqGT2YbSlQrkEqUkV2T6XKariszuIp8YrPLnIE22wtqcmCpShUJ6sqYrPws2q6PtykFo5fCJMt5KRnQaA0w1QYqjbJi98XU1v7NJNgbH9JlFt+Hq4bOCI2cl2+dd2lqqdZZaJgC7DujL7xf/3cSY49LzrLiqrLULmSLyMtBJYOdsrkSpCbcE7nQ+YbFtB2uBrYsBQfmIN21SkMdOnqiIeiPkq/sVH/9Sk+HIh4ZGS4EnqtJk8vMzcezWAJwJ/T1hGZZ98SjWTLU0b7l9xGe/MuCh/T626TFMAnxBfqGp/O8XOrgazjmQ2wqcTHGBKcfmiXR63JRYOwvqjcyCSlHS36IU6KYkZUSe6MlWMVmWKoiJ4JMK4CdzJ8VjaUVI4wwlLb6fcNnsmN1bYqamLXEjQSdRQhQmSGOpafeBbElCTLJRKXaqgntCY2eP6yV1Kv92mbknnudSRBSglqq0e4MSaW1KAe4C5FnZrEXrYoSyTjdh0qoKdC9na3dXygWYvh8ShQmffaDBcyca4HkIqVJQpXNDSsGlkBMXcvm7l5Bd+LlpoqyUyXQgl7kWz+zCMNRcsyPm9S/p8+SxOuPYJ5EeQ6PwEyY+S+aFM8Hg7tFOfBZUdrEZjBKozHOWAqtA2kKP5yuqBGlKswwNJfZe29G0htzIpJxdQwRlQi20+6T0Kq8ULmoPI58wUsRJQpxY9Lv+9FNoreh0usy0lKtxmLwa13xIsebDXEprl5ef9f6NvF5jIrisBpjFDgSFNClZhTljZwAvJqfmEiVlbsfYNmdqnT8Wz700uNQqIvBDnjkuuPMrDQZDH5oeUmSVg5TswXWymBMyrxz25amz0mTdyfLZYq6Jyrt9Wq2Q1794zCfuHfHkkQC0z8hI/FSLKwMqyU5++hmSQh6QlMFeANtat/Ll0kU6Ns9WlSzIN9aBXZoi0SZM2U1JV90y2LNYS9o1xDm5yn3t9226ChRYsRIwkAhJlADjOmeOP8ry+f0Yk6BVvIQ0goCIqYbIwVYJICaBOPEBKldj+Qqc0NzV3xdrgJDLEZEFlZMM7vR2OZupVFphmFYUunau9LkuzwefAHd697IptGmBv1axu+sIz4uIbcKn7q9z3zN1qDnt5mfyRFSDy3x1m1zlLiVRbOlOVs5K3oycWFGphU6MYjzyeMX1A9740gHPHq8Rxx5WKIZC4yXkn0kkBYsXH2F9Ji/+vkVlmWrp2Ny9Fkgjch2e+/0Zo2eklIFaFhIzAyLCIo2oAnaCkSuMnUqr9djfpCuVFS6YRWQVrJJRGNAZJCAGYC16uqnSoYsJo5HIbcGcjcqVcWt0tKheaRU5snZ7kWJJcgxeLOmickDEJLArUqWcpi/d1QS4Vemui01QM0B7JVBnzolzTNyjUhG+F/HEMcmH7m4BPkgPIVTeRaTSjVTLjFImgpLSnAAYRQqaMnNTKSYyiWvdc1NoVZ6+t1bztlcN+fwDIx457CYJREYxSERa8JWeuyRl7bKWLS4vJ16sdSxeAnr2U5WC3sh0P58sKDalzLJN/5YtxU2mAGkRfJcmfKVsPLl6Z8coe3/yQijvlJENbsguRgdwQRzDOPZIrI/Aojt9g5CCcehKXzNQizSIK4K/9UGbBQ/ZB8+ckQzETFwQuZaf0N3FQRCFhsu0XcYc+QVXAnnamlZsNuV2digG4BfgrrB26TFrrM2kilIxnhcTJTH3PFTn6UN18DyQLrj0hS1Nji0HVhOrUgVQVWjZ0pO8AaJUI1KpLkwkRmWF/ppx6HHdnhGvuM2x+DBxLD4WPiMDOsmCubROpRTMFRLFfYByLVHZulQSrLJIK1wXok33YrICK0BaUUiV8movyxd7Jl/S41HxxSeNhxKwy6thxuaiemylSOWUTOMYsuSTpdWIken7+kLXHQCTWEjc3u1CuNR3VpZaST1ny17+AbNlUOTArV6lheyp/P7E+25KU3mPmIn6E0G+906+e3HWfFtpeCi2LlFqAtylofi5e6ISlC4BPJUovo44eFbwvs+2GEceNLxUnpC3pqnyLsHZKlWSYBW9skafVIFelinlzQGKQv+yFtc0A8n3v37Ap+5rsv+0u/gSoxgkylUZJmnyB+H0d5KO5ZhYSbLCuDLApS20uEw1ujQOTEI6fS5T2ZLHShk5ZjmUCdtUChBm0lwoAZsJ+btO3GZK/5ZJiU+lF6nAghL4OmF6OqQWJK7s4Df+629u1Fr/l/0Hjl/tMn3ppqlZ6WnZmssmmkqJEmXLbkJKlP67/L+v/E55D0uZuiHpWOB0PHAO3Il7NjKh7HHnj7rQ3c5BqYK7vFdPUUyV7v6go7yZwdMhiQx57ycb/Nmd0xAEoGoopWkoS13ZdBwFeYOzV2qNKzKp5USUpJgMSyVALWKJwnbMLlohSRt/i15IJS3CGrZvCjm9KHn0aZ9YSBAKIxRCuFLaKrGUVtTyqmLL64uorCr5hWir9aGVEumKhndFAeUShHx41eS9VCqcz68sJW6qw/MF+XS07N9E5ImeTMpI6RJ5NS9i665bNu3Y8/Iv6CNHTkz3u903YMb42is175a1bykILOvoSa2Ua3GxZimqypKyJClr8HSpK7N2pQ7cVrS3zMFQSBJV0t4q3+mhtBGVshOSJKsUzNg7wtMRB85IPvDFBm7+imPvvHM/+/uCynhhWT4OVBkof5EDaAIclaL+Yq6gTVu2XJOtxCSKRKVaPNF896sHfOyeBntPeSBDrJCMEg+dLdnZsU63yCbJEj8ZVEvSKUt9UzS02JzRU5a2TrZkultmXV8m9cdNGqBOOGOTz9fIWTGBrQxLFCtkOflnTIqH0p5OQritGbuDiF5v8AbLqWmNGaNlRLMGvl9ioBIbV0G5NjCouitliXKJ/2ZNULlWv1VqwNNkQnkfmUKDF1sFZjurqQlwu4msJn10dqBSBpX53SpGyRiVypNExXzy/iZ7DxbaWwrpvO+8g4Z1T6Bg8nXOjRUNXjyvNiBXPPHSRCpthKtNkUUKP4w011w+5k0v7XP4AwFhokBoEqEZCoFOUvuOLNDNHBVR4eM8BLaZLneN5a5OI9W51qZaPL0LW6T4BZgUbCaTKSUf3JQIzGSgldUy6UpAuSbOE+m/M9H1ZQoJ5cjBZWnjSNPpWYxI0PVA0AgEzZqk5hW11ZnHvJZ1q89Zo53EGpaftHuyqaRrQDLJ3BOsnb3OWDsDe8bcOdBVmckL3a2yIDLb4kQatCyG5iuV4HkRR84q/vtH24ykRzZBq+iaT1eQcg106btV/K6vcasu36mbYcu9iOVAc7LZVpEYN+UpSGL++R19/uqeBofPaFARGE0kPIZCoJIMaE6PF/sqVUGeefMW12ubrzAIpHXHPGNzaTNP3FTYPLPvjBR5P2+ZAMqsLqwrGljPBqzYy+lHncRg/p3S4rBEkh4ni0AxGmu8QKPzXQwCN9WpUvORfUCZXkWyuJryzOUEixdX4lqZIlIQX2rZKgNbTLB2lkipgtsUEkVWGVxX/O0UzBW/u3SXjsU9HdINDe/6RJvTFwJQOrUGZSpPbMX3zp9Pnqj1VrZLAZ2q1iw2Ty3vUJcN7pHVKVhSkcSarQtjfuTNPX71fT6dyAUE1krGRjnbMCkKnUgEhcIuQF78v/uJSq9Ca9NZTimrZ2xurZNAOYNbd55sCl4h0uel4HA9K/VSQeUkyM06v5OZEomxaW2MQCVupRuMJMqXaJkGi9mEpzwTNSlNymb8JJgroF+rw3P/UxbP14BbliVKmbWLKa15YX/qPxeALjG5Nimjm1yaODli1kgVpeL8UasIHUR85FMB7/xwm7HxnDwRKpcneVPxhCVW0d358SjDen2Il2cjFVZhGfRZyt5ijKnMB8lGTMRGU9MxP/bWPgeO+7znk06LgyIRkpFxAadMyBm8KMDKTlaRui/blQ7chWSxNmVzkVUeZmxunX2YJ36yaQzF38rcs0ltXibE9XIqZZCvAX5Zl5eI0Cbp5sMWdBS7cV5apgCXYuIKq87Wm/S2ywwO61xl4tLvVQpzSst9weQlcGdbdJe3DFRl18GUpEoG4hKTy6I6sPoYp753xPIK/NUXG6yMM3A7gHvSaW8tqvKk8lkzu6yE5xzWJXyXtXYuVdIfVKr6JrdeNBN14lKijMIYTZxopvyEO14z4GP3N1jqKZARGEWE0+NZlWEOuMqldmkmd3mgIimU1adkwaYb3ZextwO6yS5+u06pxzpgR2QZyRKW1uCLNfjKAtUKpmQ6GU26xnJdqynqNUmjrgkCXQFuBujKFhUlTZ392npBApcA97rSZD1gi6o0kXlgWW4wqAaV2XCaAtxJhbUL5s5Yu2BvrxHzqS/VeOjpOqakvV1TQyZPqvUm5cq4CsNMLrOXJPGUPXMfvJAok80Q5e0ZEytRtvDF48RDm5gXXh/yrS8Y8Kef9kGFICRWCMZGO1sXikBTFKCelCuZNWiti8MyZleykFF5giUFvLHlsR7ud8oyZd17fsxsqsdLUqpkVlwKd8X71X/PWhiMBLUx6Lm2RMSK6ZZyJn5xGVdOhBBr3loTCJT/aPkEr3cVVzJesgqYKnvb3CLMNyotAVwqi05HjEmZOibSpro6A3dSOCbSFLuxSeeeBF7E4ROS932qxbme7/a7lm7QuxIUOzZMxAtrT5qoAH6SvSdvlURPidknO8iLCU/Vnk0ls0e3/cnGZsIPfGuf+58OOHxegogAhUEyErK0iZQL0DJQi/wDly64Mp/n2cz0PJTZvAzmrBgry6IK53yUa8Orib7yLsrlFjsn5AtcZerArj2IYuKAAuMwYbkTI7RB12uWcc3SrNt0azsqIM+N9FKdQjVZsPYqWjcThS0CTArdnWvuPHCwFc9bCqexy7sZ5yDPZ2RPPk/yoZEZi2tZ0t0yQae2oO9HjBPDH36wzX2P1V1vm9ROe0vpunZEMX8l/6zZyjKxck0yefk8rDkXlQxm4VoUe7yXy2fLZbSu3SzbMiZJDLHUqFjziltCfvRtXX7xD33GsXQZKCOJU1fF1Whnny0raCoBx7qWNEqfz70Wpdgg7a63mT3opEF2AWSsbdOL3kmXEh6y7O86sZvIwJavMtlfLh1AO3Ecy8fPWobDhOHYMBon6DCCOBHpLD9b6EAzwTDli2fixE0uxeWlR0DeOV9lvwlPszREpgx8J0tMweYTd5nbg8UE1EpwKQtZotMZ13lwKWM8P+buRzw+dl+DcehBXefaO2fvLMCtyJN1mLuE4hzs661+JdYumFyUpEFRfGVVke0r14onRiKNkyoZ0ONYU2/E3PGKIXfdN+TzjyhnGyJBSCKhGWbnARA2bS0ryRVXuFTV5O5eqkuRWR2Ia4rIX4u0tFasA/Qye1sqDL5eTFcwdlWqZGDOjlw1UWbTAUoON56W6KyqL+tZzEazZanUbI/DSrv+JM5FcZWtp4kuJU8c+O3aoDLd8FWJqmsi8/3UUxclT+5kQDYl5i4BvTTMPdfe0k2JXe1bPnV/g/1na06aCFcSKzLtLShNkLJrwJ1ftPl3LgP6a+iT8smyIrfkqvfyNKfJ4UBFjYqUCmkSpNFEY82VmyK+9WV9Htrr0wnT9KtxejxEke0DUQV3SYPnvOmSO/kFKZ3bkoMaF1hKnFQxwv2bk0A3uTQqVRAyUb9Twg6V50UiKoV0hSCspRK3GGuJ4wz4Ft2oGZLI0KwbECZves1KN4uDXe0CKaNcTD4Xk2lYWwF7JUCrBJl2jf4ugzlj+EySyHwwewZyOwHudGeC0mMGbk/HGBL+5NN13vnRFlZo53tX2JtCe1eswbVAv1QwtC7GSyenwpIV/W1zgplsZTNZ2t4YTCIx0vniShqixEMqw4+9ZcChMx7v/JgmiguQGwRjIVEmGySRgrvc2paDWjgfELcIFG9nOjy/NrHpxU8KfikKoIusSyxf6Up4yF25dfows0CzHBHk2daCufPpxsZiDIxCw3Dk7tr3YmpeTCNIsEIRx4I430fdVubnlQOi9Vi8YG5bZfIS0CVQbMddSJFMk2dTk0Q+irjQ3kKsdUxkBm41KU+qe9ardO8Zp8EjPD/i0DnJx+5p0u97UFdr2Tuv+S45O6JI8JR14+TzDORfj8NtoQFKciDT4qWBkyar9ygBXWZAlxjptLiUmihKaDVj3nL7gM9+uc6hs2lSwRloJEIwTP0xIUCYFNy2ALvNQZ2Vo6bJn+wizpwUUXxmI8grGK2okpsRaWNyBRNiAiui+Pdz9i59tPyYlTugUoAbSBJLkuDAPbaMQotuNjQkklYjJkwUQkhELJBCkgjXTe30ePGPrnuraKcSk5cDTEpAL4N+krXTITKqxOLZRFOl3ODHYjB7SX+XttuQJVkiZeqYpEyudcw4Mtz1YJMvPl5Pu6w9B/AJ9s4dHCGqwTBr08c5k08EmF/vlrN5nrov7sY4Gy6TKTbdisTpblPIFCNJhEQlEiMU0VjzmptCXvPCISc/4zE2Tofn2zuiGQlXz+E+cpp+TJsCbKpNVc5emaOSXisixYR0yLZZ9lJmBVhFbkAIEKntWE3ylGRKKdid1NzlA1UE5IWMTqwDd5xYohgGYzBCI7WPnt+wbVXLwWd7bfntvUECNv3CidsOw6Q1BplWzAPP9TGe6/FCY2fAthUmF1R1d3m+XT6SNwd2BvSibLTsnEi5Vm+X7cAsFS+l69SRfsy9j/j82h9PkVhdOCfSXeCeIG9JKxjb5tKqcHzWZ++/QRKzQHZ+wtam7MtyxTlcaeBpBEYUjkquyaXzxoXRxLHB9xN+9ge77D+lufdhifFFCln3BSKjGJLGDTmC0pOtRBGApV+k8MLT1Tb7vKXBP2RBqEh790Wp9kgUlqSdTCBmTk4mWy51wGxpy+9MlliIE0scwyi0JATUGu3P7tq1Y1X9wB2NvgnPHBbC/uhoZEnSbbnzr5WyVN5XV9HRE/dSmracOi3Lj0pFYKkGuqgMLFuApUROKaDMC6rKrknO4EnhfZfqTlSp1/LUsuDX3jfF/Y833aY80k9LYj20FNSl23TLbXJl19ZuV+5pjXw+JKc6jCireZdqomG6pOuL1yKXb4VNWq2odGUUpbknJblX7LZA7lbMz8UE2vLQUz6rQzmx1Mh8irgoAb2w5yaB9jdZlkrFuKUVCahMLJ8sSSjHJOvWj6fDQYux05nuLiRKbBzAY1Hj4ImlH7jvq8/u12Hs0vNRDElqgrstRVyAIaxbcqwVaY2wXVemVCNgu5a1S8tR7pxU5n+XdgmYkCZyUnNnLF4BdtlJKQeWaSls+jzxE973iSk+/qUmtqZAKIdOoRFSVvoti/7Gr9Exn3+/kh2wztJWfntyFZwEBFAJNKvzC9MgM50faFPmttYUNSpCIo0iERo5TLjjlUOeO+LxjndrwiCuGPXWeIxJa2eyqDFraxNFfTjgNLlJs5spuxdBZsrawvniNpUnVU+8sA6r3fVFmn7NISyZO/lk45JUyRjcpj67UmnJgHS/qE+da4KQJHFEFI3XlrKa7MrJdk+rJoLWALwcaE24JaLMNKUAs8w8k8DOAS0y37voailvb5cxd/5cFkkdmdecJHz+4YA//kyTUZJOwReZNZhmLYWtaO91U/NloFMG/IRcWXOm1lt0HUIy73lNRpPs+Bc1KVaWMpuy5KwI5U64TIuzpCExmsAz/OAb+zzwpM/nH3d2YeaNIwXGasaJKJVlpJ9FZuAWOaIKezBtFxNVkEuRXQhpwVUF4BTYSkEtc/1dxVGuw0syrmD+VKqULn5wK2EzENQbAt93x0cfOe1jrRtUOVWPqQcm/wA2u9AteeKn3CZ0KRbPI+NSgCknGL2qvYuNjAqZkyZxRLGzl1qjw9dh8TJ7y6QIMHXEYAy//EdTHDkdYHWxW3JFe2cSaR0Jtq5jUn6vDGQxcVDWAXnZJsyZvbR0F8VXZT2+tjbFyLTiUJZZXKVxlEaGhsu2RvyHH+rwwE8H9EbplzEy/1yJdHtxOtS5D+G2+snADpgU1GSYd32feYe7KcAusuKrVIOXa1JsUnpeDjbXHLLqulcm2LKLki8w0m3RvmlW0W5q4sSgZ2fnQChs3EXafgqq4h8RmU2U7+xgqww+saSUg4bJoLLK3sXeLsUQ9ep72X4wuRWYXwRrpUnhmpR25009b60j4gR+7yMtHt9Xc563zJi7cE48UZUlSkyuQCWwTzB3mhqkPHRzPb5ew+QTzknRAFF2rkTu9VaqDYVIXa70uZEO5InEiPSepFLFGG6+OuInvrPDb31wmjBJqRYyNJKgGJtS0CnByyxEbCFRUva16Qm3KWPnbC7dxWEzhi4neDI2txMrny3hJ483bXG4Shd++XiZCrNDnBgazRZz81OEUYz+lte+Bj9ocf7UUxx45hie5+V6z5oJFsncFKoT9ie3pvia+rtSy1HewGite1JsOnoJ9k7liCzLkso9DSxrCV94MOA9H2nRGXrOAxTZAEbXpOuckyJrWS7lLevwYjTbOjMIK2GZyF9XIL0Oa6/BewXoBcirrJ1NhbUp+MtSxdmIiVRIa1y9Sqxo1ww//NYBjz4bcNdXFTTiTDinFCiIjWREFlM4yxBT0uKpdnDJHnKgWyHyTKc1BTtn9yq5iRzUVSeF6iZlEweoXFqca/BS5p0Euv2Ia667iRffdiOdTh891QLtQTwdsWG2zzhqESduR1kjBCTO7nFSJZMndg0RUQJ2/mErGcwqsKtRf5qlLAHcbRm9DsiFyVm6wtzKAV2WqgSljJE6Zt8xzX//UJtDS75rgxcl7Z1WDHrprJPc2VgvqMyIevL1pOU1ubpOHKdyYic/hxO6uziRpbLUSY+8BPa8EMuafFNZkUkVYZ1UiSx7ZmP++Xf1OHZOc/C0wOqywBIgPZIU5EyAPJMv1rjxfpSY3KaSxZYYmwmA25QgJEU9CmUmL7G4IJMvVQYvA91a0n0+nYOSJHChI+iMFDEeodG4ryfcFhU1P0LImHGo0oMo0ymhxYG+VAKjIk3SYyPLAC/bV2ItawuRbU1XdU4KmVLdUnoymZOxedbYIGWMH8Sc6wh++d1tPnZ3A+upIh3/Ndi7qPtem5Ivg3u9pE6Z0QtRWQV8hbUnwJ6fzMp9UodngLZ5htNmOjxlcCmy52nwKQxxYvCkc1U6Y8nP/Kbi/KqAoEq3Fk1sJaOSBq+AXBRyxUpQmTzJQClceazFiaDyo0hjubLp4K6JUqBZ+jOTtzKDZ7ItMRDFMI4FgxDiNHi0CGSU+IRJ65w13p3t9gx1f4xWdh2rz645yZlHqypuB9Xnqqj4K++xWMiNTGMXm4uWAXxJO3AiUyllglRx+tzVmoQYPvmVOl94uJHWmqgc2FX2LnYNLs8bXLeYqqS/81a8ErAnmTsH/3qReUmuVDQ4GaGI6vyQEnPns0QQKWOXtr3OhwfJ0ntFxaGwkte+YMSbXjLAFwnEMZjS3SZYY4ktjAyMjSAyEFlBbCA27jGx2baDgiTzpNP3i021il3cKj8v/b4xWR2Jk1vZz/PfK90r5cUl/R0bWB1a5ufnqWtx54Zp/1y7JpEzC1fx7LMfPXb4fPe/9ZnB97pAsed8eWXNtXElIDRVPV2SE0qZdKNSU7X8Kl72erUlZaAXnneZxWVeHZhUnBOZ1nnHwvCJe+q84z1tTi164CvH3HlgKREpuPOsZaWbaGK3hMrsE1EBcCFXRHU1o/pYRGaXYPOcocpbNVaBXRTAZSB33eRFY4RMt74uymiNdV34idEYo4nGiu1zhp/5oQ5vfmUfT8SQxGDTu4nAxlhj1oLcCGJLXq8UZ/Kg8rwM6EuAPLtA0oskB3QJ7DYFvC1dEIXRYUu4dMdsdTjmeTdMMTuz+t8+duenj91045Vuj567HvQR0iPuN9g53WLrvE8Yldfd0smS1VMiJmyeqvYus39JlpTswcn9zssXidPbVXlSBJQFc2cBZfboeQlHFyXv+asm+w8F0FK5W5IndqTMpUneZ0m1Nv2SHfNl9ySDtagGlGJdJi8iqPWSPY61zUTCZyLYpHidpe/dIBy363DmjYsU8EIUOlyKrCtfE40tV18W84Nv6fHw0z7HLmYmdvYRRS5DYikYWVzNSaofrLSQ7sCW5c9t9t+bkl9O5sSRbp6SG06V42iz99JjldW2ZInH/D8s6/QUdEoCNcFLrjZ8220xt12T0B/GQLoJ1UtuuZ5arcazzwiOHl5BCUEtMHn7l/u+5cKYFNSlpbnilDApayYDzEl70KSdPGUXxVB2TZy8KYO7DPoEJRx7a52w3BP8zp+1ueeJelElmAO7kCa+mGxHK7p0VOngr7EF+RpW4VqV8nVv5RR1paqwvBynp9mmIDPpbEAr0n7IijcuEcKSCIswzrrMbEMhlLuMhCEZGF5585h/8fYu/+mPJCvD9HPIVI8b99xaRWwEo+yLp65KXnWYOijKpItUWqyVyXqZB5wiz2jmx28S8KX3yhd/2T6kdOylcL7BVAN2bW6zY8u1zCzcQG3kvowEuGL3Jl7ygmvv8kXn19rNBoOx27Uq03hV1iqn08vFUaUETTnVPhkslll6MomjCpYuyxIpJ6sDTZ6hzJg7S+iMhOUPP9rk3R9p0YvSQqoM4CKTJm7MsJen44tZ3zloKUBfDSyLNqu1mfmsgaA4EX9TcFfYuQTwycRGNeEjqkmfkrPi9t6UqXypzhjPJEucaFoafvStPX7sjh51E4NJSlo8lSsmxtqSJrcTmtyuJ1FERYZkGrqszzO5kjfXmKreTkxJd5f0d7m+RaQADzxANnjuYOfX2nNX3+U3NhcA37ljG//9935j0O+tHg0CVzhf7DdumQw0y0AVZSaWZVauau6K/s5APhk0ylKgqcoXQJW5ZQ7uQndLFYNneO6wx1/c1aAbpZMxKQeVygGcVJqUrMB1tTcTrCLWPjLxuxWG+RsivWhXm7AMs0CzrL3zi6DUlJx3/cgS2EUpuMxeqxz0xkisUcSRoqUt3/vaPtdcMUYmiUs12hLIbQImyUE+NhCmII/LILduaH+c6+3Mm3fAzwPKHOxibQBZSuBUGz5K75cJgCzItCAUFxeXj/6X//JfBjOzWwqJAvD6178Bz6txcO/9nD7+CL5WeQBYbTcqF6iXO58n5MiE7q5mL6tZyuJ9U9LgJk/TZ8mcXI6U0vDZa+0Znjrs8RO/NsPTBwOsJwtZkmnvlL19WfjeusTel+65XF+SVBI7gtKrgtr/RnLFVp9OZuuq7O3sMWnSJT+fhpXuwiDcZDJjpVv2rXXPTdZ4kMoUYUmMddIztNx4ecTv/8wqP/qfRToPncLbMyJ/blHEiHQ/2XS1KWUyi8EwaZNE+nsyjd2K4oDs2KS15DKboVjcSzmfXJML0pFvFpCWJBFEQBRFbN1+Ga9/7csZDkfAT1cBvjA/hefX6cxrBkshUgUF8CBv+887nlOAZ8tEJbjMtHb5+WTNSTmpI9YGlYWlOAlukweYSriEjvYSelbwBx9r8sRzAYmaSObILGspnTQRaTMDX4O905ihKs8mxkJUwE7lWPxNyNtOALuMcFvu06y8X2b2iZpxK5DpJKxsMwGb+uJZ+WwO9gzoxpJg0MJy8zVj/o+39PnZ3/LoxTiQm/TqzrOdDuRRFvqlXrkDt802UkblhVrp5zcib39LsYlMx0wIQXpx2jUBaFYlmD/P8k0ilTbC2YqjkSUyAVNTc0g1yI9rDnDfV3i+f6jd9g9PTdX2jEaRG99WKZwqnbcJoK8NKieel5h70kEpNLmpPC87JzKrFhQpc4u0StBLGBh4z8eafOgLTcYZmGWZvV3lnBQlW7A0oWrdrOWlHJQS/eTPJ+zB6u3ryZNJ9i6yxZM63KTAKDO62xSqAHzmnMgU8MIKhJEIkTWwuI4FkQaigpTNE4svLN/1mgF7j2ve89EW/Qh3wExKvVnhhwQyJs9Ann75KtDTQDQLMtMUfxZ0ZgnxYt1zQzsng80yk2ccaymAbozBrzXxguZhzw8OyVGU/262YtBob+fw/gfujM3s+6W3CWuTfHh8pdBpArxrrcByXfckaxsuXW/ydcAtS+BOU/FaxfRCePfHm/znd7e5sJRlKMuBZZGxzNhbCTeOrNqhU55BXQou04M06aKs0eQlSSKykyW+NrgzVJeBXHkvfymYHAJfbggvEjtF40DlvazVLdfeqT9uVMkv18SJYtOc4f/+oS7/7C19WkHi8t82KenxIhlEpsnTe5x65JlXnpR0duFxl7cuXy+RI9aRZlVtnqSaPk7Se2y4bMcCWze133/nF75855V7tq5lcIA4CbCi/mlj5Zt9X93k6zhfGkyexi1OgkjXk4rOpgruLGWfSY4qe6c2ZNlREVX7L3dTKuBO0/E1y8c/3eBX3t3m3IrnhtzIiWxlKk0yW1ALu2aAfTWJcynvW1SAvWZFS0G9TnbnbwTy/GGNJBG5llk/dZ/qX5l2sJtUmpRS+gWL29xCFDa9G5W/xiiisWXzTML//cMdlrqS93+qCbWMwUWJNrMvrYhlgQubSZHMMy9p8vyQlORKRiCm9JjFNrKoRq+WFmfuUfpOzffwtHxiYbr+6V6/emhl+cX1N7+acOWj98+2lx+ZnYpo1sYEXuwGycsJV0VOBpF2DbjFBLjLnTlZ1lKISbdkfXCryaROYDh0SvOnn2py9oJfgFtUy2CzjKUu3TNbMP+MFEVWWd36ZMAzadDmAyLLQP+fALf9Wu9PWIYVh4GC8Qv7sMhqVioO1wwMKnUETW40mw7yNFYRh5LN8wlv/0d99mwPIZxwVnIGzxwWp4MzJg9zBi8cltgWrF6Mh76EQ1JamfLvS3FMYgNRAqMIuiNBZ+xx9Hz4yK//0Z33v/nbXntpgANs3zbHju0LbN04YqrVpxZEaFWyDaku0XnChzSglCXNPgHuihSpeOCl+hN1KXAXdSbKNxw+o/l/fn+aux+tQU0WrD2huylJE531hIoimbPejO81g31kwTTrVRKWPcLJ4zNZv7KeS5JdFWvmpJRAX1iDE/agk7ulrp+yVy6K91NfvJwMyoBubZHSN2k6PxlJXv38Eb/0Ex0u2xq6aiZbkiuXAHmY3qMSyAs/PN37swRy+zVAXqmNn7jIYwPDSHBhAMtxjdltO5nZsmMNYejJNzrq2xFSh8fOnuKK+eewKMaRLqWI0+UmZzLWgl/YNcxdrV9JZUnJCsxZW5h1ZUmWyNGe4dgFzS/89yk+dFeDUKTJHKqaOwN5ObAss/dkd9GaFHzpMfueZSyv53l/TeIu/3CCvic93fLvrEn2AEWPWCZhcJIly2ymLorb1cztiJbJF+eeWLLZ485RcRLFpLsjZJdXoC1v+5YhiYGf/71pjl8UBWLyqLf0RYwiEYIwm0ib7lXvLI9LrFnGWYiTF3RWtpPRRqXnQL7w6AAAK1tJREFUIL0QeqEgjMb809d5/JsfvT2M4pg/e8fXAfgw2US9NvPTSXDjtV85cPKV12xJiGJFFKsC3PkfnJgtN+GWyLKUkRPgFrYC7swOFMJlLKVI8tR89nOtDccvan72d6f4yOcbhDLdek3Ikjwpe94puC8xvGdN1SDVRug1wWRO1IVrska+/E0Cy69zK4qsiq1F1ujwEuCdnT3pqFBhcTItnunxFEoCmcvL4nw6wMcJeMR87+uGaAU/97vTHL/oO381TePnHnl+UyTGgTxX2dYWutu6/67S+FjS5Jn1ngE9x1d2aNNzmFgBOuYNzw95+fN2f2nz/J6fhgtrjqWafOP3fvvXuOz6l4dnl6de+pefWr55oamlwM8r1ori/snOnBJY8pEHdo0cyazAXGungBaiSMcXdSip7lYxUiecXZb83H+bdswt0/LXiuYuaW/pPO9aOrUsL4lN7cF1N7QSxYgGUXqejXQodn8r75de3YK8+Fm2h2RpC0Uhit/L/63qc1F+XX4//0wiP8nkn2FtY/d6K04xOar8OxM1RRXZ6S4wjeWaK2I2zhkeeNKjN5gMpsuvs/9SFEM3M8xUiKEggjxpVvoMovL9inOhlesVbwSCyzdb/s33+Mmtz7vxrlF334frU7euAfgaDQ5u2uyoP/iJmy6bfero6TaLKz7DsSJOMjYoLq/iYxZMXdSrlGzCcpWgNLlEKetylXnhme7O6rtVQqLhXZ9o8aHPZcwt15EkVWnip5lKLYoey8mMZUUjy5I1OOmglFh6PW+8UODujP3PEHlZhmTMVSmXpapBmWBxk7E2Ze1NyVas6nGnvcuTsrLNrcolttJpcuu2ENcxvO31A374zX10so59aLLXWUBa1eRxWjOeafAkszK5RL13+QDlbpwjqZovmGsJrthc59SF3U/1eqOf0Gr9A74uwH/qh1/L1VtNctstV9jptioK6k0xVrmSlc7BMumFZwxfLrRKWVtkiZ0EkWcsCzniJIqzA9Fw5/11PnBng3FeETiRqczBLQppkoGbshwpd+lUXZTJWpPKcM0C35XERImC1mYx/ybg/jpvVouxRAn0grxuvHIBpNOvyoVYplTLUgo6s93biuYIVYDeZM5KFnxK/MTyPa8b8C0vGSKSEpgrIC8Ho18f5JO7WExexDnGKVY3lZ6r/kjgty6zTx7wk/bmb1/3+Goucbv95S8hikYfeDA5dFW/e75Z/UsT2rRsH1KefbJOMmdNEqcEblFkKKWIUdogteWvv1znp393mueOBBBM1JesU2viCUqbRlXHQGTp+Rzo+few1Y1cS6DOMbxGkJd+oUw41UN1aXCXgbzOoy3/XqledE19Sj6uodygbCuPuR9uASMQuNZ3ke51aYz7qwK1zme2gEJhuWFPyH/9V6v8Owmf+nLDHdBck69zxVpFgiDMjoVJB26mOjxJs5l53JyW/wpRGg1XCqqzWxRblD/Vv/raWz7QqNcveYzlpX4wv2GLPXb02d+ZXbhicTgqtHWR0aTwvVMwMwF2Kcpp+arfXfW9k9wxcewdOxfFs3z8vjo/+9+m/3/tfXmcXMV957eq3tHHTPccGs1Io1tCQohTCAFG4TZ2ErCJF2N/vPhYf4yXjy/seO0NyWZNSBxjezd22CyOHd8OThwOE7BjY4yNAQshYS4DBl1IAglJc1893e+o2j+q6lW9129GowsB3vp8Wup+73XP63rf9+tvfX8XfrfDV9nwzXTEtt6UqG7EFiUxtESY7gJ5VKOJsxp6ksV0FsQHVFFmMJosl1ZI0GylUylbQNo6C5jmVYnF1h7MzHZLN9eRhtJyW3SFMwitkwcMKxdG+PxHRnHpupp0JTZFIGYsufJ4BgIIBSwvp6ImIMiLKEwW0bBoDJdf2HOB1aeuHHj6medumj9/7lRuhaktOAB0dK9EvTYGZ9uTcNkIPFd1Cc44fcwvtRU+a7nnDSfPRAvqQCob3DQGcziII3DXg0X8+f+t4pntCtzUyVhsxwK5XOzp5GEdTNWUQAyLg8OiIcgBtw1iexGW2Z/1atrxKVOj2Rxiy4Tyta2gQFERY50Bo66kASEST6COOtTqChF2jRWd8UOhc20IlcdDUBOBmKSLMYM0IoAAOHFxiL/98CgEgB8/VDInb7slAaO2gCHScylMo1idOKwpoVDzIq25+p8DETHBW5Rw9HZXsfrkFWhrq0w7zdMCvNo2p0HF2DUrls26tTG2t+y5SFz3tv5rg9vm4UYiNPSEprh3M7ip4tz/sb6I6/6hgmdf8BS4s6B2YJw58gJ5ipok8SZ5oM5GDGatNvL/b8KvmgCS2phWBmY0rAW7fpndl6UyQl99ZMpJKPFY7rYpinLjCwoiuAVyFV2oSk1Ifz8HSdAp0iejwEsAIABOWhzi8x8ZBRfAT9aXzNc3PveUlCijEFUkoSogRKmiJDCd2oSqDGTLoIJI8aMRAZOBQLltzkQQ4Zp5vT2NQwZ4q7+fV+ct2DS7/ezRvm0bykFAUQ88hBFNYhrkZTX/p1z2KXBn6AnhKfe7TFrggAP8dEMBn7pJce4E3CZZOA10khTncZT1TiIEqUVNpgJwZn+SKW9JV+ZYQ8yTmztryW1gZ4l8BtNNgNaxcyLnOIuLpnI0idmvQUuSSMJ0U1dt0YmttChnkIwzsSy5jl3Rlltx89g+qQA4YVGIL35sFEIQ3LuhiFh/FR2Doo/V6W+gCNW9wgSS1uDaeieWOzNXPJbe0fGAICIOLr74vNGFCxds2ryjn2OaQafbWSjPhue39YfR+BVu66rQYYPw3CgJYdR9e+zrmc0ESrRvkgdq+8EhGPCLRwv40y9V8budeeC2IwWpUkxIOpCKyLuWEWHivS2gG4dOBswZVahpO9I3RzMDSaU7pN8005HxWtqb7YudXHSbd2swpbybtnpiXmtXfVJ6woo6TLKAVPGgJG5FGLd+zBni2JH8PCA4YUGIL318BOevmQRLyYU6BU5z8RgQHLHi4qEw7nw7Uyc7fZoW1iOCsUYNl12yPGyI2hWdHdX+eXNnTzul0wKckCJ+/fhWbB84affju8/c/tBzPQhCgjBmiGIlMQFW3mY6BrwpxjsTAisjA0NJS1zg55t8fPR/VbF5py8FzyZwZwBODbizdQWbUtEI0laawDrXjCwINEUP5hlj20Fx2AtM5FzgFFgN+LU8mCovkVhpDf782BTB0x5OUxHLrp9ixajY7QqVPp6AXMWt8JBg+YIQ//DfRnDR2kkwLSHaIba2Vq4WnaGSDu0+REmuJYws6FAZS8cQ4YrzCT71nkXbLztv3u4gfBblonfoAAcALhwM7tm4s+gUrp7TvQ4v9/kYr3kIAoY4ll8+fcG1qmKBm/CUtWZJbEkMx5Pgvm9TAR//uzZs3uVDeNOBmyUopYqWuESkeDfLghvqOQ68qLStc17897QRhLkm/CAQngN485ykw2ktZ3eKxqQCsjLKiqWL61/glIqiJMPEGWR1c8sFeawtuQPeoFg+L8SX/3QEF5xRA40jGfInshq5TMwUGUWFWzen/j7aseO7Ai0FgdmtEU47/gxMjHhX//K+R3d67gHhOz0HB4BzT1+MKJgAc0sv//ZJ8uAj67f9QbVQQ6UlllyXcWu61cIyldCgQa3c8BbIXT/CrkGKh58s4vqvtWLzTh/CSxelz1VMFLil3m2D28SZNFnuDJgTR88U4NUWO3FqWRZ9agRLRQJIW/zpjtbAbDrIUktsxEtayFOyYRJ1R6A4OkytQK1SaJAT+amcy7VLYtWp9n7KPDJKeZLXycGtUssaffKbxkrlYARACKyYH+KmT4zgM18TeOTJAnYNeICvZoKb90IAMWcIKOAK2X/TEWbRrOeQUQHPAYqewJLlbTj5pBMfPPGUs18em6iDkKn1b+s0Dzwcr4yNm36zNRRtN/X0nojJOldue3OVbA8mI7r6lIk10Vq3zqN0CxG27HFww81VfOyLbXh+lwJ3ylOZzc6hGcttSq7pSEEdt5GK7cgGUGVUlGbHVYaa2Lw7T3WxHxnOfjDmPLHQNg/P6t0wtEVuI8h35+fQk8y2bAdl2+uZxIonHDxjyWPL08lNmC0PGFYsiPB/PjWMv/zwCI7rbQANy5KnLDpPsvQjAcRopilJixfEWH3Kieid3XrTs09v2lppOTC4gRlYcD1WLp+PUql1U7VYu3M79l0+Ob4tsXjpbgzpApmm5JpqJcIkuLe+zPBXX63g9p+XUOeOLK2Wq3Ez5FnuJLcSaUkw1W6bwOLiFq+zrTdByoOp/2mmLZaZTckm9iwpSAtkjpvGimvdVwsoOYqLDW79nrSqktGPhZLeEi3Z1sK1xYYJsVWNpTiXQWFc6dhEWE4imrHkdoaP+uFKbrYQ6G6PcdUf1uC7wF/dXMG2PZCZQbqgJyWAunECQeBwwCEEjlJu7K4iPI6xfOVSzF+w/M5q59JNcEZnbDRmZMEBoNLWjfGxoZ1Ljjvj2tZK5e5iwU/ahjQtIBlPJSkknJvJ1tnbXma4/h+ruP2+MurEUe73THxJDi0hGXDrDB2TFW+Cqowzp7mAfYp/T/F/FpFENJdma+LhB0LzdEPkPlWA1gqJbbkt4GfUlCbLDSMjCjvAiZvinfYCU4hMYoRWVLKWPFmQ6tqHyprHLsK6A58DV1xYw2euGcGS3gYQ6Iyg0Po/RmQVEzL1VST9iWKgUCihWq3eff65a68dGhrcuXBBz5EHOAC0dfZi70sbdi1edsrTXV2z4NAg3b4vp7SxkyQIh3ALEXb0O/jMV6q47edl1KErT7kw7UTshwx7JVRm5fg54GaWBaZWPElK/wYytCQTNahBrZBLcm6CVCRhE5YPJKMcAuKFoSxNgAZS/FtbUXsRKqCDrdAMeLsyLU/Tl2w/oERSFMQkK2cqZcUp6uIkCksYSJBfeXEN118zgoVdDaCh3fmhesiFZ8iBuiAIVZHPKJYKy0Q9Qld3D95w9pqn77lv467Fi+Yd1DTOmKLoUW3rRqky//OTo5uXgPe9g/IBuE5sdRSOEyriqL6UjhMiRoxNv/XxlTtacOt9ZZWJw+Qp0KzbPR0ZyKglBSpQplqNZGmJBc6mYj4ZsNv40++1cZmy7FOAeUpLfhhDZJ8La5sOtIYpLWEHK8lcFNlmwThPTJVWarv4YXsMiakOwamsW8K5oiNU9dxRf5MQUBCoRj7yb4GYYkTKGkQR4DoxrryoBnCBm29vxePPF9FIPEJyZjlcNFTdGtMZg2N+TwdWHLfwB+ecdernN2976aDn8aAsOACUq0uwe9tPR4qVpe8v+N5DBZ/Dc0KrTbaVGMwiuG6IBmJ8+z9KuPxTnfjBz1sQUFe2ldCWu8mCGw+lY4FbLyrtYpksQ0t00UwtCzYHVKWVkyw9Qc5r6zrkAzqz2Jwx0nOsc3ZDvhQocm8C09sHhqogx4ojrYknseHcpisEpq6hkQtT8eSJFacJPYn1I3YQcQdx7CIMXbCI4R0X1XHXFwfw3j8eQxkBEAUAD1S55hgRF5jkBDUOTEQEgWDwCsWHTlq56P3f/td7Rk48fuHRBzgAzFt2GVpKqM1f/tagrc1Fwa/BZVZqGYvgOiF8v4E6YnznR2Vc949t6BvzEGpwU9U+Wzdhtbg3IbIXo0+AQo4U6FAhowVzOPdUOZbT8u7kQTJ0ZWrApvi6jbRDtOIm7jvnA5ruAIKUPGjty6opKW0cljMo5enMJETkgdzi30KkFRUeG2BzG+ga5NxFFHkgsYNZLRw3XjOM9142KkHeCC2QS6pSiwkGGzGclgqued9lAWeF2gff/UeHNK8HTVH0KFaWA+AbXbHm7PH9Py0GAU90b8eN4Lkhtu0nuOvBFnzuW1UMj3umLyXNKiQsQRmFstIwsSWOBWCTNDwVuJvTvJqsdxPvbgZo04Iy+x40v+cwMZ6DZxNBl4BXPyEGzFDUJGnSqyPiEooirDxlklSGSpQbIaxfCJL8LZ4UK9GVsezXQlWp4hCqkpbU4olsAisoBI3VzcNBCFWcn6KtHOKGq0fhOwJ3P9CCrf2Qsg51ICA95GWX4rILV02efvKSjYwekh0GcBgAZ247BB/+C6d6uYj6X/rExORzhXJJ1ucu+A088juC67/ehl89VUIjcgHPoiJ5wCYyvDWpG2inmAFJJnyTl9ICd1O2POyQ2EyuYgbI2RDZlDfTAlUKxlMh+VAQrn8JSBrkWjpMgC1kQZ1ED1fPtYqZSIQK8En0p7bgmourz6OQxfNBBSg4OJf5tFzH1nA9X1Q6f1RJNmKDm8qOC5SLhIPLQC0qo0WFACUxhKBgNIJoEFSLET57zRgueUMD13+9DY88SwHqwXFclEiEM09dWv/ouy74ctEj/6O92nrIAD/0WwMAoW18cPevro/Iki/EbFlAiUDRb2DDswyfvrkdP9tYQSMqAG4BoL6iI/ohW2dTSuApKiJ7xAt4VKgKsLoSlczAd4hODhZNC0cN7rwagzaQ9Zdujvs2qMyz1s3PBaYbB41xcaD9JPf4hHtnPsLwb6OQmO1yNvLc+OkArZyCQXbSBKcQgqWcQrayEscMUeyo/11EsYMo8hBGPhphAQ51cckZIb7woSGcvWoUCBogUYyzVvYEq5f1fOGf79p4fXu1wnEY45AtuB61ughisujGattgMDTAbvjaj3z6w4eqeHxrCShY3YQTdYQmEYBaCXGQttZTRv7ZAIZluWH25XsY03VcsjRkqpjwLFTtBq/pjpg540DKYRasJGdbZvtUrn1bXbFVEaGsPYEBsHwu0rSemAJCVkeSdM4CtFVXflNVT0XEqlIthaQxgKpmS9VaSMa4EMJBVaNaKiiokNydhTHOWhnhpmtH8YP7A9y9qcTnzJl9w+nLuv5ux97h4HDxeUSErZ1bvoeuDn/VTx7a8+R7/vIJNhEUpflN+ICO/CNGv4Yd/Wdr0pZ1hgU42hwsZcCuM4mQ0sFJ9sagZlsTZ1eOJDu8VtIeYt5HrZIP1CoTkZSakJ5AlpSYINY29R61T1fYShrN6m1JuQ29zXJipbpA28+t9yTflSevdQtHUxTVft5cgi9VGUHNvV6/6PeZOvHNBViTvIBUdGm6uKrsg8qhW+O4TGCsFuLXO94a7xtfcYrvTDxz9Tv/02Fj87AtOABMYgWKHa1bnFLvh9791vav3HHvY3SoAYTq/tGt+jwq1RA7y51CABbIbYtqg7cpliSZbPWcprVvY43TvYVSi8fsa2Jb7rRMmGPQm0beAnS6zJ5cw51jnbOLy/Sb9YISxslDTKCVpOnKsgMJN0/8Q4r6cAjockCcy/mU26XUredGrV3VzStfyJLHun2LAbX8/jI+iRNZRcuEUHNwVewnjgkGGwVUZq3j55+x6kOb9y/d0lXefySgeWQAfvxxa7HxiS3BWy5+wzeeempHaeWCji89+Ls+EMeBQyW39nLitVP0QE24XsPblKGpJqBttTMWPRU8hZz3Z/l5ZtEJpEGf2qifTglaclg/iXmATzY2gVtvbKYj9lt152RYoAfkQhGWpk4SxcYCOQFSMThC+5jk51BCEgsMQYxFt+aIEAGuwC4tN4VubCCD8AQ45+C0F2OT1U8uWXrBN7zC5rjaecZh4xI4QgAHgLWnHoct2/fFH7jqLdsWLX1kbOKWH7U+sTWADw8lKpKGTzafzhs20Js162aZL68DmnktmgGf8/eSikt5ALOPPSKE7vCGyDxS+yyJUFtas7PZiuvPk15IHellIsXsShBm/ix1BvLXwVTHyr1FLSpDk0QYweQNEcc19I+3oWv+BWPzFp63LZzcG1c7Vxyx+TosFSU7WlqK6Jn9wt1XvXXVhz/xngsGl8xuhY8IJUeg6Mhijr4j4DEBj8ksDVeVVnOoXVrN+j+5Kaw4E0zhek89z4n1Ti5dM5jzLPaMCthP/QlHZyQB6uqlaN5ta9rZSlHpTHyT6pbu7jZFdVqrmFBzaC1BHNtKCkUUy0cYMoSRYx6hi0bgIgwJwGbB6/iTwb5g3Ydv+2X/3Y47szDYmY4jZsEBYM5smcL/4t7R773xnEuc/oHi5//tzl91DQ0Ow2EkAaV9IUyAO0ldrFT/H70NxipR2zLnAD2hHVkKZINdgzjPrB/MOMLYzrPO0x6fYzgTWk60eiJUaqFI5ls/F1kOpD1BUi9JSjwIa1cyjzp2m1jnop1Fltyov1fSeAwcYHPQ3n1R3/w5F/93iOB7q1cuObITiSMMcD3m91QwODTyrfe97Ww63Lfvc//+0w1dlAg46mdJy1B2CwuhrohdkkJPnA1wG9T2fhvczb0tc+hHzmKyydljHWAvUpH9rPxf5iM+bGA17UuMhEVDIIwDSL1N0xgCA3Quoa86ETeDHNAlUaQjJ9kqrLmzSj0AxsILAcScpm4qucikqLSs7muZdfF1YcC/5fkdR2XOjihFsUdHexW33PaLb3S0tXx6+dLeQc/hKHoCRVfAdyVNcZlpJ5IUprfkMltKo6oESqrSanbRCGX5mxakSAM4B8hT4fNAvPyIDzL138xm9kxt5tPfLJXhY31WsiS1svCndPik4sXTycmmxiG1+nDKepa69HYjcDDZcFCrO5hsUBTK8wepU/n07m33fsPzpy/ecziDHf5HTD1+/O//inUXvvWpzvbyi5USvWR8dNh3XQpHATRxN5t1TUr1mArM+aqKWVTmLkRJ/k1BrQCr5gfJxLOYTB8kz0nOfvt/UzLZvD7QOeWfD83MxVTHZVWilFpkxSAkt0HqjjK/UYRYO4mpYAsdwAVieViJWsgqi69uiihmCEKKRsQQhAyTdaClunCsrWPuhwmJb1my6h0Hw8YOehwVimKPzlbKPb/yg/YyiVqK9DvPb9lRYB5DPRCIORASY5H0fFJzDTJTnroXzK+pBnfyPE1bzMVNj6ZrOoMhDrBXZD6sSc3I+/vZPzCD4+25yP2YHG6sObn+HGF/krAItUj/FTvWBVAeTWGdg72wT10zacUbIcNknSGKY7R3Lq57pZ4PBLzl9vHxxmG54WcyjhpF0eOaD7wT4I143tzZty+c33PV6pOW1NtbKFyHJi3hkp7kMMbEjh5Mty5M89AUuHM4h4XvZt6d8/xIjpmYJvsmS77DDE5oOtrfHJdCUjuzZYrTVlhbZ8PrFXQNr1bx4TFPqywJx7YbjRGBIKB4uR9wS4vr5UrPVeWW7tvHxsP49LPffpRm3oyjDnAAeP9734mJ8ZH43x46844/WNvzngvXddd8r4HRGjDRIGhEKtEV8gKzpPOCcVkbl7vJIycQxurAvN+25Pq6Za17siPzvqZhBSlNN+xyB/b7ZjymOD7P+mtrPOXn2NMi7F02cOX3z6pZKV5ub0/EADv4SoI85rK5lP5cSjk8N0LRD9BSjDBeryFye1ETvVefe9HaO4aGhuM3nHf4bviZjKNOUfR491XvwNObvi9Oe89Pbv3+X/+Bs3Rx/JUXh/ZVX+rj8MBQ9QHGmltq66FvgFRIqci3zlmv43T7DzT0xbfPZTraYb9vxn9mJlbb4hX2jXug45vOI1E7JMEwvyAW6bFCb3WKWtIjVd0E6ZIhRLrjQcAY4DKOYqEOoIGBfVVU2hb3n3nBm4d655+wY2CkLs67eNnML8BhjlfEgutx4hnvwtf/Yh1WLVn+L5deuPpjf3PtSQOnrOAYnAwRquIxDhOyDwvLOH9o2i2fGtmFJfKPmxaUBwxXncqpIg7aWM/o70+h8thOrAMPYp0nkliV9J9NW/EkniXvFAVUhr2MH4liiiiiCCOKMJYPWXqCo+CNo7/mYfvIOQMBXfPJlSveubzg49cF3z8SszXj8YpZcD3ee9WH1GTt+S6w1tncP/vGbS890sXr4/AcAt9ForIkk6qC7m2v3IEoQ0oZQbN+nY2BEZn9U47Euk19w8zEwueda3bdYAkeTSc35S9E3q9BVgvP7svMQ95i3JYX061PzBGxQ1Si8iQcrw3zl7ypr7Tg8j8jCL4L/BYeI0fEFhzMeMUBnkwamYt9A7Vvvu2SPyT1euvn7rrr510kHEHZZ6b4DCS4Y/UzaecS6mE7M+Tn5lt4+/nMsWc+WKsPhrKI9EZ9A2Ylh2knofll9sbIxuHY32FapiIyB6RUEuuk1bnqQCu7vV+qNyUR0NHgnBNEkQa55uUAGgxBg6NUmoXirPP6qj0XXdcL8U1COg8BIUdmHDOAA0B3ZwmjoxPfePdla6PeNvqlh9f/un18bBCj4xHCWE43FwJhTBBzU/EoFgZDFM1RdFmvZL7CYt0klsW1y4YlFk/hQECHhBqPq72Wm9pqixmTCuMehAFb7prChDKY72uEv9Sfs25ANO2zuHhWZSLSK5x8gIow5IIgjAnCUCYiEwBBCIxOUHR1daFz3plDpfY1n4oi9h3XLeNYjmMKcACoVMqIwuB7b7pgzSBv9C1tBOEX/uWH692ST1EoyAonjYAjCKE8YwaQ+nrQLABSEmLmdXKktlzW+s0GOiyQ2/EX2UWuZcizHEDMwJBnb7zUDZldc2RUIX2mM1k/a/uchNhqK578CGneZc4rkWepSn+mWoVhqDcYJhsygtxzYxT9Btq6zwwpK366a+7abYQVfuy67tGGzwHHMQc4ADiux/e8tOXuK6/8I+/B9b+rnX+euPm5Z54iBTeiBZ9haDTGSwMxxhrQ9Wxk6Qjlvk9+bXOAno1ZsUeCP5Fvgc2Pt4FGwv8t651U3iHyuaAkuVnENNY7l3JkuLg+E/N90rHy+j0JhSEAEo9uM+W1W7Gbfj+KmljKSfI3qYCTtFYX8D0KAoKX9nsYHKXwHYHuWQW+fOWpotS27CPjfMW3d760O1i18vhjDSuJrWN9AnrMnXccNjz6bNDWPvt7y5bU76/44dvjcOBveH0flvTGaOkYwa0PtYJyByVHoMDkBbQrCmhs0OnAnQV6xspmF2Aa+IZaK0Do56pssd1+42CDr1ILSv3I0A2CzE0Ay8pnvlvud03dg/ayUd7CHER12jbcnEA6bFwnhutG8NwIQID7Hitiyw4XQQCsWt6L1o7u/zmre9Gt1Y6eF4PGvqC964RXHD9TjVdUJjzQOGvNCTj5hMWTPhnZ/OLoWTeedXrvDWet6Y3POSXClef1g0Qj6KsLjIeyhp1NKbNBVNmcy7wAKy3xpR62h08fp+SbrHqTBC9l5DeRPSBjSHNVHaQtboqmJAdqSmHlQzZ9pkhZ+tSdIcwpmZqEQKrNiT0HiqYwxuF7ISqlGlxvCLf8UuCxrQ4qnYtir2X+DZdevvbGJ54d3lyuLJl8NYEbeBVZcHtceulbsOW3t8bHnfSfPzMxNuCM7r/3kzu2/9RvL9YwVB/HeNSKsjrzLFclGWDbvEMoNKZAqkk00tYxRaetUA1prXVstZLNiEyiNiWN1U0xnVZoAc+Ol0ktkC0wJ98N6f2anuQtrNF0Q1vzoD2PBCo+206EENBtwAECRjl8NwSh46hFAr1zunDOaec2/suV6/53z+xZnyHsdnz0g6+MZ/Jgx0H8kL7yoz45Br8wCcGdzz23+fmzb/nhP9Ntu2tn//CXnjOnzUNnSaDgSi6u3fkm1JakFp/aMnHLGtuTYCL+zA2SjtgzCRvEyqqXoQUkybRntDmLnlECxtL7GEuHBcttIqn7whimyJYXpu241QOUUBMHb+J2zLdMMna47m1vvjslApQJKzxCLi4dh8N3Y7SWauio9OOJXZVoYLTj4VWnvI93dZ3wcK2O67raCdqqRy/c9XDHq9KC61EoJhWNrtv+/D/hug+sbn3k6fBr/aMjVw7u3089MQHfYYYjK9Nlx5JrM6wTKwCjpwNIrBzVPBSGcwNpuiGIylO0fs61Fbe7MczEEQXz5/OVH+RY7VTorkj/b1MT3dEZxoJxCFMyWRg/AyBvRIfwVCu/SKeeRRzFQhmk0M2H4+Nv2zne/sHBx7aNffS9Zx9reMx4fl8zY/2TL6BcKs7aun33tevXP3piNDl8+XObt4FzhohTECLLH/oOgeNIkINIqxVx2XE6igUingZgYq1VLZOkhgrSdICSTO2UTJ0U1mTFjeXWzyklifVmVFaQZqrmicNMLRS9Tb8mxI7RsTtY2Pt0cJqpdaIHF0S516WTJlJOGkJ0eASH73K4rgT6ZIOgNsnRM3cxZncV75y36NSnS629fx9H9X639OpQSGYyXlMA1+OFHbtQqbQsfOLJ57+844XNl9+/8Wk8+fwoyh5FtcxQ9ADPJTJFDkDMBcJIoBECjVAgitPx0kkfTQ1w2kxRAP3cpiaahhhgMwpQC9RZoDtMAdwCuaYnzc916CmS4j3pCl52zRh9rF0IyBTs4UICux4w1AOKMJJRgASQ4PYESoUI5WIDjNaxd7gT1c41WLZs2Z1dPcs/3qiP75w1++CKz78axmsS4ACwd+8AKHOXjQ5uO3lXX+3aH9/33LlPPPkcSDSGWVUXBZ/CYfILxgKoNzhGawITkwJBLBdUSX1xO6BLgzRn4QoYS24st+Hg+VybTgtwbcETUDMTKsyo5uJpcJvgsjTA5fH6vdzwaSrVoiBkGK+5GBl3MdmwAO4IFP0YlVIdc7pdzOo+DnW66oHJsOPvTz5h0VNBGG0ttxydnMmjPV7VHHy60dPTCQBbhRBbly7H07v3hnPWrTn+q1u3PL9s6+anmcsEXMfE3XkOR99ohMEaAEHAqIDLpAbMYKTF7EhUFEsU4YmrUvd7l8dQoRZxRHJ6U2hnCkePpfHpG0l7D20rrReXTXEpTQ4hmIQDJuU9Rz0Y5Sj5BEFIMDLuYbJBlVwobyze6mHZ8pPjhUsWb2W0/l8X9573MoDNB1c649U3XrMA10NdgM179g5sjuP4TbM7Cr1vuvCM2zZuXF95YefucmOyhmorQ1c1glOq4bcPOiDER5uvdHBBAMfw1eziDkiHkmraIhIdWnsGdU9K0yPehFdb3kySPX97gahuNMWjDYURKYDrc9KfbxfKBJBQFZdJJ43nxigXJ0HYJO5/sopnt7jorDC0lAgqrQVUO3on1p2zbtRzwiuqnb27CWU7X+vA1uM1D3A95vZ0Qgixc97crhfDRm3VWJ2ftfR4/k/DfdujqLa1w8P+1jWrAgg6gG//bA4KzIVDAUAAsbToWhVhmXBdYVlpKHBn41+EMEkEdga7SQtLH09yKFBKpqSwOLXi4cTU+xYq6Cy5kYjs8KdlP9k3iYMxAdeJUPAn8N37gFvuacVxszg6O2eNnX7GisHTT13sxJxcXaos3tDeVhqBEJwcRsH5V9t4/XwTQGet8+d2Dg+1tXffU25pWf7N79659LyL3v7Z7gVnPlMsL3ji3NNa6/PbC2CIEXOO0TpQC2QgFyUq0YIBriO5sgZUzIVUYGKhOoDpXFIh67twK5wXtmyovaVp3TAP2MhUftWc2mFSk3YdTTl0MyipigQRQRBRRJGUABkVKHghSn4DQnCEEQEnLdi6d059Se/cJ9588ZnPvP997/zsxod+uLRSaVneu6D7nvbWgSFCyOsK3HqeX9djoG8XGHPI888+jGJ5lAW8fPM9G9zlu7bvXNc/sJftHp3A0BBHCRF62hkqJQbXlWAPY4FGIFAPgCASSeIFVZlGLiNw1A3hMLmAdBytmshtVC0sHSYTrR2HwHVgvQ8KxJKKuI4GtKwb4zocjiNBzVQ1Vs4JGiFFvWEUEUoA3+MoFwJ0VGuotk5ieIIgCOegp6c77u7peWjD5tLmPfvqH3JiJ774gnUIo0gsW7rwWF+iozpe9wDPjn19w/A9r71/YPBvH//Nvd7oxDPxLx6rrBYN53QE/aB8EgWfwfMcTDYEhsdijNeBibq02Ezp1a4DeEyC1WVIgOsyKhUThpRM6DgUnkvhOQSeK9uDOpb3UoJdAtx1uPpfwHM4XDeGp6w3YwKcU0xMOhgZd9A/7KDWIACPUfBj9HQVsGxRGaEY/83t94ePnbz8VPbHb74wqLS1/3kYBEOe336sL8ErOn7vAJ4d37/jfgA4l8fBJSSeuELEjRVx1MC+l7djfHISDz4+jjgM8dIoEMYu2ksMJVfAcwR8VzqVXEdSGvthivFLidBxKHyPouBR+Kofl6QahvdLQAu4LofncHiugO/G8L0Yvhuj4Eco+hOo1Tn29rcBxMETW1sQRkWsWrkMldYC2quF57tnebcVC+xnAuKB7oVvPNZTfEzH62aReajjXW87HwAeGBwaegDAg3EULR0ZGebrf9XH3XL34mp3558FYy+ihgh3/LIPg/3jmHQFih7Q3sLgUArKBUgsrbULqnRyqarEsUCcNIWSfNt1AN81C0au8k657MAKSjhUzB8ojeGyGlzVi9QretgxvAQTqOKkFXOwe7z/xt17ai+cuvos2tnRTh3X2QaBeyrVtmM9ta+K8XsPcD062tsB4B79eveeffB9v+2l3S8/PLTPRWtlMuzqPukTlJM3ciFARIz1Gx5F1BgHozInsVAg8FgsO4sRgslGjFo9BhdAqcBAiIOSz+AyoOTH4IJgYpKiVpe8vtrqolDwUCpEKrlGoNRSwMIlp8BzpaZPWXTv/q3hl4pe2W2ffTzed9WcB8KwMVxu7TrWU/iqHL/3FGWmY9uOlwFgcRzH3WEMHoUhvvrN2zA23AdCKCIOUAThmy5ce30U1i4VPA5HxyMMjXNwztFSpKi0uGivUFRbBCrlEHFMMDTqYHBUoFjw3FmdLT8a2PPo9ZVW5sYxAecCPT1tOOG0P4HDHEScUcroPgAvlFp6j/WUvCbG/wf4ERy/Xv8wANI9PLi/yuNQjIzHGBrniGMJ8Nayg7ZWitYyR7UcIYqBwREXAyMc5VKB9M7tGRFC7DvltLXH+qu8bsb/A9MzeIW8qMOwAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIyOjE3OjE3KzAwOjAw6I2u1gAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMjoxNzoxNyswMDowMJnQFmoAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 67711045
{'hecke_orbit_code': 121597189972565864, 'n': 1, 'trace_an': 9}
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id: 67711046
{'hecke_orbit_code': 121597189972565864, 'n': 2, 'trace_an': 0}
-
id: 67711047
{'hecke_orbit_code': 121597189972565864, 'n': 3, 'trace_an': 9}
-
id: 67711048
{'hecke_orbit_code': 121597189972565864, 'n': 4, 'trace_an': 0}
-
id: 67711049
{'hecke_orbit_code': 121597189972565864, 'n': 5, 'trace_an': 9}
-
id: 67711050
{'hecke_orbit_code': 121597189972565864, 'n': 6, 'trace_an': 0}
-
id: 67711051
{'hecke_orbit_code': 121597189972565864, 'n': 7, 'trace_an': 5}
-
id: 67711052
{'hecke_orbit_code': 121597189972565864, 'n': 8, 'trace_an': 0}
-
id: 67711053
{'hecke_orbit_code': 121597189972565864, 'n': 9, 'trace_an': 9}
-
id: 67711054
{'hecke_orbit_code': 121597189972565864, 'n': 10, 'trace_an': 0}
-
id: 67711055
{'hecke_orbit_code': 121597189972565864, 'n': 11, 'trace_an': -7}
-
id: 67711056
{'hecke_orbit_code': 121597189972565864, 'n': 12, 'trace_an': 0}
-
id: 67711057
{'hecke_orbit_code': 121597189972565864, 'n': 13, 'trace_an': -3}
-
id: 67711058
{'hecke_orbit_code': 121597189972565864, 'n': 14, 'trace_an': 0}
-
id: 67711059
{'hecke_orbit_code': 121597189972565864, 'n': 15, 'trace_an': 9}
-
id: 67711060
{'hecke_orbit_code': 121597189972565864, 'n': 16, 'trace_an': 0}
-
id: 67711061
{'hecke_orbit_code': 121597189972565864, 'n': 17, 'trace_an': 7}
-
id: 67711062
{'hecke_orbit_code': 121597189972565864, 'n': 18, 'trace_an': 0}
-
id: 67711063
{'hecke_orbit_code': 121597189972565864, 'n': 19, 'trace_an': 8}
-
id: 67711064
{'hecke_orbit_code': 121597189972565864, 'n': 20, 'trace_an': 0}
-
id: 67711065
{'hecke_orbit_code': 121597189972565864, 'n': 21, 'trace_an': 5}
-
id: 67711066
{'hecke_orbit_code': 121597189972565864, 'n': 22, 'trace_an': 0}
-
id: 67711067
{'hecke_orbit_code': 121597189972565864, 'n': 23, 'trace_an': 19}
-
id: 67711068
{'hecke_orbit_code': 121597189972565864, 'n': 24, 'trace_an': 0}
-
id: 67711069
{'hecke_orbit_code': 121597189972565864, 'n': 25, 'trace_an': 9}
-
id: 67711070
{'hecke_orbit_code': 121597189972565864, 'n': 26, 'trace_an': 0}
-
id: 67711071
{'hecke_orbit_code': 121597189972565864, 'n': 27, 'trace_an': 9}
-
id: 67711072
{'hecke_orbit_code': 121597189972565864, 'n': 28, 'trace_an': 0}
-
id: 67711073
{'hecke_orbit_code': 121597189972565864, 'n': 29, 'trace_an': 14}
-
id: 67711074
{'hecke_orbit_code': 121597189972565864, 'n': 30, 'trace_an': 0}
-
id: 67711075
{'hecke_orbit_code': 121597189972565864, 'n': 31, 'trace_an': 27}
-
id: 67711076
{'hecke_orbit_code': 121597189972565864, 'n': 32, 'trace_an': 0}
-
id: 67711077
{'hecke_orbit_code': 121597189972565864, 'n': 33, 'trace_an': -7}
-
id: 67711078
{'hecke_orbit_code': 121597189972565864, 'n': 34, 'trace_an': 0}
-
id: 67711079
{'hecke_orbit_code': 121597189972565864, 'n': 35, 'trace_an': 5}
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