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{'Nk2': 18000, 'analytic_conductor': 66.3771487564582, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -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': [1125, 1, [1001, 127], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 9222429457828125, 'field_disc_factorization': [[3, 2], [5, 6], [7, 2], [11, 1], [29, 1], [4195619, 1]], 'field_poly': [4400, 0, -3215, -70, 711, 19, -49, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [1796, 3994, 303, -2005, 106, 240, -28, -7, 1]], [11, [20623190976, -14472964224, -5630578992, 317962680, 13815596, -191540, -7113, 27, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67553994477667429, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 625, 'hecke_ring_index_factorization': [[5, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1125.4.a.p', 'level': 1125, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '375.4.a.g', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{1})q^{2}+(5-\\beta _{1}+\\beta _{2})q^{4}+(-3+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1125.4.a', 'trace_display': [7, 0, 0, -19], 'trace_hash': 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mf_hecke_nf • Show schema
Hide schema
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[16754, -11882, -6744, 186, -3214, 8082, -3218, 700], [14538, -20668, -11588, 3368, 7760, -1356, 844, -2090], [38990, 10996, -830, -172, 6066, 3638, 5966, 1666], [54194, 8899, 2158, 435, -6303, -3646, -4005, -1350], [-2751, 9893, -5516, -2206, -1514, 20527, 5662, 2047], [21552, -7274, 9084, -532, -4104, 7699, 7388, -888], [-20712, 3760, -5092, -1106, 1874, -10774, 7934, 296], [-35384, -13175, 1210, 431, 2205, 750, -9845, 3434], [-112698, -19025, 618, -2052, 4474, -4020, 818, -3], [23046, 9571, -7440, 5187, 231, -14831, -2211, 4724], [-17628, 27425, -7102, 1684, 1918, -5894, -3522, -5937], [80444, 6656, 5218, 1124, -4966, 12220, -2626, 4920], [33352, -739, 7886, -525, 2385, -9074, -7605, 5364], [-80628, -3933, -8668, -791, -2855, -1633, 3647, 4674], [-41854, -16935, -11692, 2257, 5145, -2843, 1191, -4186], [-1888, 16898, 4190, -1658, -4260, 5544, 8292, 6318], [33707, 10989, -1718, -2092, 1502, -7315, 722, -4639], [-93688, -1620, 6924, -258, 626, 16166, -10058, -2050], [-59316, -6456, -424, 1396, -664, 15855, 3984, 2932], [19054, -8987, -652, 954, 4390, 4898, -12622, -6069], [52228, 8319, 1658, 3029, 6523, -12566, -3339, 3680], [-75820, 1724, 4770, -1008, -4362, -2166, -182, -612], [87498, -20772, -1952, -898, 1942, -1000, -4934, 7278], [11576, 4576, 8674, -988, -4210, 168, 938, 4654], [-25400, -26351, 5470, 1865, -785, 3575, -16983, -3672], [3490, -4829, 1582, 4349, -2597, -5048, 4349, 602], [60043, 8706, 3238, 552, -4450, -6915, -2994, 2232], [34156, -13374, -2982, 2754, 6072, 6668, -904, -2312], [-33595, -32921, -6946, 3808, -702, -6079, -1254, 511], [56649, -33106, -9340, -1937, -5077, -655, -1055, -2313], [-63236, -31427, 3948, 621, -5463, 5589, 407, 174], [-1226, -12082, 8716, -3400, -700, 12926, -396, 3116], [61379, -29374, 4164, -2680, -1916, 7157, 9544, 4222], [-20546, -3959, -4030, -4661, 4381, -6708, -3565, 592], [-65769, 7043, 3306, -1398, -3648, -559, 5796, 3385], [4717, -8038, -4810, 396, 2670, -12759, -3118, 2136], [-50600, -18488, -4366, -5306, 4644, -774, 640, -3870]], 'char_orbit_index': 1, 'field_poly': [4400, 0, -3215, -70, 711, 19, -49, -1, 1], 'hecke_orbit_code': 67553994477667429, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 8, 8, 8, 4, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [12, 1, 1, 0, 0, 0, 0, 0], [9, 22, 2, 1, 0, -1, 1, 0], [250, 49, 30, 1, -1, -4, 6, -1], [481, 579, 92, 28, -7, -43, 54, -5], [6418, 1933, 873, 57, -57, -220, 310, -47], [19730, 16688, 3507, 759, -369, -1580, 2119, -253]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-12, -1, 1, 0, 0, 0, 0, 0], [-21820, 11947, 9342, -4819, -883, 397, 25, -9], [27860, -14933, -11870, 5945, 1109, -487, -31, 11], [31604, -17215, -13550, 6879, 1295, -569, -37, 13], [26772, -14661, -11454, 5853, 1089, -483, -31, 11], [36072, -20010, -15449, 7989, 1472, -659, -42, 15]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '1125.4.a.p', 'level': 1125, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [24, 24, 34, 38], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [10, 10, 10, 10], 'ALdims_old': [89, 79, 73, 69], 'Nk2': 18000, 'analytic_conductor': 66.3771487564582, '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': [1125, 1, [1001, 127], [1, 1]], 'conrey_index': 1, 'cusp_dim': 430, 'dim': 120, 'eis_dim': 40, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11], 'hecke_orbit_code': 67109989, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 12, 12], 'label': '1125.4.a', 'level': 1125, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 470, 'mf_new_dim': 120, 'num_forms': 18, 'plus_dim': 62, 'prim_orbit_index': 1, 'relative_dim': 120, 'sturm_bound': 600, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [120, 0, 0, 474, 0, 0, 0, 0, 0, 0, 10, 0, 0, 92, 0, 1966, 0, 0, 242, 0, 0, 0, 0, 0, 0, -304, 0, 0, 202, 0, -220, 0, 0, 46, 0, 0, 0, 0, 0, 0, 284, 0, 0, -1972, 0, -1414, 0, 0, 4748, 0, 0, 0, 0, 0, 0, -550, 0, 0, 1254, 0, -2146, 0, 0, 7880, 0, 0, 0, 0, 0, 0, 756, 0, 0, 2502, 0, 4370, 0, 0, 6012, 0, 0, 0, 0, 0, 0, 190, 0, 0, -804, 0, -1264, 0, 0, 5850, 0, 0, 0, 0, 0, 0, 790, 0, 0, -3284, 0, 2846, 0, 0, -5354, 0, 0, 0, 0, 0, 0, 9362, 0, 0, -1728, 0, 11446, 0, 0, -5294, 0, 0, 0, 0, 0, 0, -9918, 0, 0, 18724, 0, 3244, 0, 0, -6546, 0, 0, 0, 0, 0, 0, 21044, 0, 0, 158, 0, -5252, 0, 0, 14586, 0, 0, 0, 0, 0, 0, 1814, 0, 0, 19052, 0, -11572, 0, 0, 15026, 0, 0, 0, 0, 0, 0, -2252, 0, 0, -16630, 0, 3210, 0, 0, -24670, 0, 0, 0, 0, 0, 0, -12900, 0, 0, -19476, 0, 2402, 0, 0, -6976, 0, 0, 0, 0, 0, 0, -11520, 0, 0, 28316, 0, -12558, 0, 0, -2690, 0, 0, 0, 0, 0, 0, 17500, 0, 0, -4528, 0, 20098, 0, 0, -4546, 0, 0, 0, 0, 0, 0, 13964, 0, 0, 11936, 0, -3704, 0, 0, -26428, 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-204194, 0, 35206, 0, 0, 37612, 0, 0, 0, 0, 0, 0, -262454, 0, 0, 538652, 0, 172324, 0, 0, -384596, 0, 0, 0, 0, 0, 0, 260794, 0, 0, -110526, 0, -319702, 0, 0, 330854, 0, 0, 0, 0, 0, 0, 343214, 0, 0, 87768, 0, 148220, 0, 0, 334266, 0, 0, 0, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 651596
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '1125.4.a.p', 'source_level': 1125, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '375.4.a.g', 'target_level': 375, 'twist_class_label': '375.4.a.g', 'twist_class_level': 375, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 651597
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '1125.4.a.p', 'source_level': 1125, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '375.4.a.h', 'target_level': 375, 'twist_class_label': '375.4.a.g', 'twist_class_level': 375, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 651598
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '1125.4.a.p', 'source_level': 1125, 'target_char_orbit': 2, 'target_dim': 16, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '375.4.b.d', 'target_level': 375, 'twist_class_label': '375.4.a.g', 'twist_class_level': 375, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 651599
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '1125.4.a.p', 'source_level': 1125, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1125.4.a.l', 'target_level': 1125, 'twist_class_label': '375.4.a.g', 'twist_class_level': 375, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 651600
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '1125.4.a.p', 'source_level': 1125, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1125.4.a.p', 'target_level': 1125, 'twist_class_label': '375.4.a.g', 'twist_class_level': 375, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 1705125
{'charpoly_factorization': [[[1796, 3994, 303, -2005, 106, 240, -28, -7, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 2}
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id: 1705126
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 67553994477667429, 'p': 3}
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id: 1705127
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 67553994477667429, 'p': 5}
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id: 1705128
{'charpoly_factorization': [[[13802270400, -1089892800, -185279040, 12046200, 864716, -34186, -1819, 19, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 7}
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id: 1705129
{'charpoly_factorization': [[[20623190976, -14472964224, -5630578992, 317962680, 13815596, -191540, -7113, 27, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 11}
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id: 1705130
{'charpoly_factorization': [[[864121395456, -28865890944, -11832023952, -59085000, 20088016, 76040, -8813, -13, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 13}
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id: 1705131
{'charpoly_factorization': [[[232303388570836, -17604952845858, 274428587743, 9169542919, -355281580, 3751859, -72, -223, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 17}
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id: 1705132
{'charpoly_factorization': [[[28410750225625, -27057088190500, 520451532150, 21034957180, -695448489, 5741036, 8926, -304, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 19}
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id: 1705133
{'charpoly_factorization': [[[1624017642124025, 9238877319700, -2665455449590, -38110699780, 453704091, 5066508, -34926, -168, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 23}
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id: 1705134
{'charpoly_factorization': [[[-242571174076281600, -8856180324057600, -24462665343360, 961407990240, 4857052736, -23676968, -133896, 168, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 29}
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id: 1705135
{'charpoly_factorization': [[[-16066487265290000, -303753824951500, 47722600375725, -645031255215, -695363334, 32948673, -58386, -383, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 31}
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id: 1705136
{'charpoly_factorization': [[[-7512932452321800000, 61777564088940000, 718024288968000, -4653244822800, -15859900544, 116255154, 1141, -781, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 37}
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id: 1705137
{'charpoly_factorization': [[[7054503760971086400, -221789895574442400, 518863157512560, 13078143569640, 3707890396, -179948708, -231131, 603, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 41}
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id: 1705138
{'charpoly_factorization': [[[-764781074211665664, 9834931233642240, 55649761314624, -1047283454880, -131989984, 36399720, -59796, -410, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 43}
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id: 1705139
{'charpoly_factorization': [[[-52450815370806893089, 248873181078769100, 5139670043490116, -27054992331550, -29794759339, 308407050, -193314, -850, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 47}
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id: 1705140
{'charpoly_factorization': [[[-3128770432398177475, -47431886474541100, 1061596546198510, 605241734660, -71594239769, 332470868, -336286, -648, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 53}
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id: 1705141
{'charpoly_factorization': [[[164898423309198254400, 1035456281466040800, -11691587555807760, -135538910690760, -484221252944, -584624044, 452961, 1621, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 59}
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id: 1705142
{'charpoly_factorization': [[[-39274153300818961244, 882961377263402310, -2992623877561351, -20532650476155, 80598699706, 164534085, -540386, -425, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 61}
-
id: 1705143
{'charpoly_factorization': [[[-13468406526726269184, -2838408851157697152, 48025630958747328, -192355236464544, -194683655680, 1543522296, -1009932, -1192, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 67}
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id: 1705144
{'charpoly_factorization': [[[-1314348398040435231744, -14662651967498002176, 42935123610499392, 367249997071392, 21077526320, -1505952152, -799188, 1416, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 71}
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id: 1705145
{'charpoly_factorization': [[[2972160882480429158400, -44734775710633344000, 209710615536152640, -188329414889280, -991572561424, 2124366312, -226956, -1882, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 73}
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id: 1705146
{'charpoly_factorization': [[[316775204037934572500, -1127112542323562500, -47599864100635625, 428620568670125, -1338448964300, 1544884325, 299300, -1875, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 79}
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id: 1705147
{'charpoly_factorization': [[[4012250196226726282916, -64584751657135245328, -242101657343283243, 387323683327075, 1456980554926, -530129985, -2317162, 151, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 83}
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id: 1705148
{'charpoly_factorization': [[[31188132817184268734400, 110367756353827605600, -358595391696135840, -2113761090761400, -2812505713624, 666226714, 4551751, 3749, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 89}
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id: 1705149
{'charpoly_factorization': [[[17260111514645812509696, 11541749634254446848, -420268988929033152, 163012527445056, 1974102616720, -634576424, -3051932, 228, 1], 1]], 'hecke_orbit_code': 67553994477667429, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '1125.4.a.p', 'level': 1125, 'portrait': 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eyy3BOsHdEstjTHZxUV12PtOGycClkzMWB6ImDtRMDGNYbNaxUXb3KpqjpHjjd59AWPp/fHPH8sIlEd3nRzi7fdZKiqCfYfG+XIaYdTcwkzCxHH5w0HFgzX7JznP71vmU2TI5yaG2Nuucr8istCS7DUSmh3Nf1QcODYEs/uX754vHbwFZvHgvNG/fir//on3x3++m9//FsNib/R49uawdutFvvmBBM188vLC7tuWi8/Kr/8iLlpoXXQ+bE3Sg6fXMvCSp355QrzKw4LK4KllYSlVsRiK+HMChxeFExPrvBL37fItTtqnJgd5/RcndMLDrOLhpmFmJPzCXOdmNHxAS+/rMv1F4Enq/jKZ3apwpkFh5klQS+AONZUPE29kjA2EqOBYzMx7S5sWeNSrwYYI0B4dPuazWsDFlccMFaKrHQhiMFgWGqFbJh26fQVQhmEDmhWXDavG7DSExw77ZBoh4mmpFER+C7EsaAXSGaWJGcWDbPLMb4/ADfmhku63HSpYKpZZXG5yYlZn9MLMLsQM7sUc2oJDi0aXnbJAv/5+5ZZN9rk+Mw4s4tV5lc8FlYkC8sJS+2IpVbMYttwuq04cibgB15/nGr9wvihvaMPf/i/v15fcuFFDwsR/kK/16RWb3yrofKSj2/bIHP3sx+hOTLCytLc+//gLx78mS/e95D/iktnmJvvc/HWGMcXNOt9wsghjCVRIki0gzEKAxgAkSCl4fDCGP/5zwXv/+FZrtoa0qiOU682aNZ8GjWX0aZidlExs+zwjUcq3PlQzAWbelx0fszScp+LNwW893WaKFYIDH/1aIW5VoVqEnD0jKLbbXD59oS5dsyefS47NkkOnIYbLoRWB0Lt4Dshk3XYf6pKrRrhq5iRhmClA9dd3OHQSZ8dWzRHTgfsPmT/PXfTgEOzhpFGwFI75EvfqGGEIkkSbrmyx41XGWZWXK7aNmDbepc4atLrV9lzuMLMgmB+OWFuOWZ2SXN8STDbDblyxyL/8Xu6TDfHOHZmlNmlKgsrLgsrkqVWQqsb0e4mtHqGlb5kcSBIEk2znrB10wvOWL3+Sr1wgpMHXndjbfJ2PTnZ+He/+aef5qd/4F3fasic8/FtyeD/64Of5pNfv0T9+x96+D8ePbb87+64+6R6/ljIXA+CQcDF5y/ymz+5yFXbq8wujrO4UmexVWGp5bHYcljuwHIrYbkds9SJWWjBiWWBUx1w46VLfNcrQ7ZO11npNplbqjK/5KVLs5UIyx1Nu69pB4beIGaiGbF5jQYEvms4OecipM+WacXW9Yb10z1mlwOeO9Dg6gsMteoyLxwcp1EPCUOXiTFNfwAXbx7wsXtGuXBTTBAYJkckUdKnUfHZfXRA1a1z5Y6Y5w+HzC56bJjw2boONq8NUSri5AJ4rkEIw5Y1MWMNSafv0+25tHsuS23F0gostjRLrYSFVsJMCxYHCZs3dPmuWxa48SKHitvkzEKTheUKCysOS23Bckuz0olY7iQsdwwLHZjpKmZXIq6/8Ay/9pMLXHKeQ7vbYH6pydGZaU73tiZeY/z9P/hdO/7LgV0nkx2Xf/uB/NsK4Hv37aNWrVRPnjy5+e4Hn3/37v2n/9ux46fxXUW7L5jvSeb6gpV+yMu2zfLr/2yJK86vMrc0xuJKneVOhaWWy1LbYbkNKx3NSidmpROz1DbMtgSnuwZEl7fd3OIN12rOX1chDGsstyqsdD1aHcVyV9DpCQaBIYwNSQJKGnwXqr5htGmYHo9w3AGHzoTsOuij4zqvuy7EcVd4as8I562DLz8ec/NOn7lWn4qjiJOI8TGIIxfHjVlcrPHyq9p8+ZEGW9fBkwcCXGrcfq0mFn12HUo4crKCIz3WjDmM1QVVX+B5AiUg1hBGhkEInZ5hpavp9DQrPc1i19BPErZs7PGG61u87aYQdIPFlRHmlqosZuepBSudhFY3ZqWTsNzVLHcFpzuK+XbMNTtm+cA/m2PneT7L7Sbtbo3ldpVW10MQMjK+AZxN/96tX/ap9Rs2HA/Dfn/79gu/1VDKH982AF+c2cv4mknv4N7DP7jrxYO/d/d9z4gz8x0ZxxDG0A8NnYFgpS+YG0gWuiHXXjDHr/7oIldvrzK/MmpB3vZZ6XgsdxxWOoKVjqHdTVjpxLS6muWuYa4jONPSjI32eM3LOtxwUcyWNYpm1aXdqeC7ElCEsURrgTbQGwBCM9YYcOCUQZuQu56sE/SqbN/gceNlPSK9wv1Pj3LlBS4HZrq0lptcf1mPbzzls2bcsOeY4V+8tc2eoz5rxiVff1px48WKpV6bwyfGuXJHyP27+sRBjRsu8di2aUA/7vK1pxQkgkMnHZo1B0dAry/RRpBoQxQDUuN4mlbXUG9EbFoXcNPFPV5zdcxEvcLs0giLK1WW2/bcLLcFrS60OjGtbkwrlSVLXclMRzDfibn+ojne/6PzXHG+z2JrhHa3Srvn0+l59AYOYSQJIkE3qOnJdTvN+o3bfnLj5gs+vLI0H1595bcHyL8tAB4nA2mS7ptnj3xm++nZygceeuRZ98yCoNXV9PoJg1DTCwzdgQV5ayBYGEhmWjE3XDTHr/zoAldtd1lpjzC/0qDVqbDS8VjpOrQ6ilYPOl1DuxfT7iZ0+5pWzzDfFcx3IUoCLr+gz9rxhG7P8PrrA85bq4kTiSMNYQT3PVfh+FyFdWMxLxyqgK5x0UbFVRdq/EqPpw70mF+oc+l5dZqjyzzyvMs1F1RY7K2wvNxk7VrD43sU3/OqLk/scdg47bLQbbG8NM5VF/d45IWE8eool27vMtdq8fiLo1SdOi+70LBj8wBkl+eOCKbHI2bnI+5/zmUQKaSERBvOWxfymutDOl3F+jHNVRdAGNZYatVYavmsdF3aPUWrK2l3od1LaHcTOr2Edk+z0oOlvuBUS9AaBNy4Y57/+qPLvGyHx9ziKO1ulU7Pp9N36fYdugNFbyDp9CWLKzGn5wMuveyaaLbv/ez/8+NvOjg2Uv1SxfH1txpb3/Igc6U1YGUl/r6nnnnqN9b7u8dnT2oaNY+x0AGhUUrg9BOk1EihUdKgJDhSo4TDEwfW8PN/7PLWm5Z476uW2Lo+ZGaxie9VqfoeNd+lXnXoVCWNvstI3aE3SOj2E9YEmn5g6Ax8luYrnDxhCGPNqZkY3zeAwFMGRwp6fYXAJe45XHGeYNt6w+YNPYKkw1eeUOw9OMZrr/a56uJlPvIVgydqnLehx/OPKDaMKiabPSqqShi5zHWgXnHYuEbw7N6Qq3ZUeeWVC/zpHX08t8GrrzO4fo+7Hw/58mN1XjxS5fz1Nc5blzA1FrJ1MmLneQlKaRxlQ+qa7zM16hNGLp2exwsHXLoDh15f0R1Iun3oDgzdnv3unX5Ct29o9w0rfZjvKWaWNfVmi596/TzfeWPA5VtrnJlv0upW6fQ8uiVwd/uSbl/Q6Rs6fbuKfP2eJ9y4PvEbJw5PL41fetPPROHgT12v8n8uwKOwB5gf2f38Y7/89OP3jOvz22hdw3OhXjEkWiKEQAqBkAlSgpIaKQyONLjS4CvJ8wcneeZAjQOn53jrTV1uumTAaKPJUqtGvV2h2ffo9hw66cXuDxx6gcMgMAxCTRgZosgQJ/YZxh5Gg1QC1xFUPMFoQzDWgLWTmo1rekyOtfjqU/DAMy5Sj/Daq12uuKjDQy9GhIMmN14haPX7zC3WuWGHZnK0R9XxGcSK+XaE0oIrdjjUGgFP76vwiqtGuP7yDk/vU2BGuPoSjx9+0xLfeDbk60/U2XO8wuYpxdrxKmONGiMNqPrgOvaG1wb2HBEkiSCKBWEMQYT9jkFCP9AMAk1voOkFmm4f2gHMdyVzHQh0n9uuXOLNN7X47ldr4rjJzEKddq9iwT1wUnBLegML7l7f0O0n9AcJcQxg6C+e4Y47vjF+Zkb8j1fderPT7vT+uNmo/Z8HcGPOAP0fbs3c88u9+QenL9wQEukGBvAcTcUXJFpijECgkAKUBCWFZS7H4CiDqzRVR7DQq/KJezZy9zNtbt65wvtuW2Hn1i4TozUWV2p0+j69vpsCW9lnKAgiSRQL4tgu9bZ2ywaVjgMVD2pVzXgjYsN0j5guB05FfPL+CodP1Bn1q1xzicMNl7V5fH+Lux5tct0FFTav6/GxewRK+DQbESvdAG1ACZhq9mh3PHRc5c03z/GJL9fYNlvhDdf1CKNF7t81QZRUuPaSad5wTZsLNrW4++kez5+o8dwRj43jkvGmoOYLPNfehFKAEAZtQGtDFKc3a2QIInsjD0Loh9AZCJYDwVIHhDPgygtXeN9rVrj5koSJZoWVdp2VTpVuP2Ntl95ApeAW9AJBb2Do9xN6Aysho9ggJIxUPB56aoWHdt01vX8m/uXv/o4bzLGTc3+yZeP0/xkA/+//8yP8ws+cYeH4p7/flcsfiLvPTU42QDFCb+ASRAqdQFIRKdhSFpcKqQRKJjhS4CiNqzSeY/BcQ9UVLA8UiytjfOreOo+90OXGy1d436tXuHJbi4mkShz79AYVun2XfuAQRooolsSJJNECbQQCgxQG39PUKjG+F+K5AacWA+54UnLwpMeRk2Mo7bNtncfFWxVXX9RG+fPsOtRgw2iNS8+HtVPLLLWb7NwgibXhq0/4BD3JaD3m9msHfOn+iOMzDS7c7nJmZcDuwy6b1oxx+dZ5Hnq+wyO7BUHocdHWcS7a5HPRxg6Hzixx8BQ8sbfGgcN1ao7AdyR131BxQUobVBljb9Y4sQF6mAi6gaA9ELQjCHWMNgNedkGb972mzc07E9aNewyCJostq7V7fcvavYGi11f0AkE/kPQHtm+0HyT5cxDYmyiKIYgM3UByqtVi30e/Mn3g6P4PrJ8aib/7Z//kI//u3ZLLrvvBf7oAv+NLn+VNP/AAVe+a79518PBvP753z+i/+M4l3nqTD8JBqSrOwLWRrwCDgxAgpLTMLRWOEjhOguNY5vIcjecaKq6h5iWMVgSdwGW5PcZnH2hyz3MD1oz1ePctLS7aNGDQ73LpVsOmtYogckkSVVopDFJqXCfh2KzhyIxgpa/54kM1Ti2MYUKXsYpi/YTDlrUO52+AS7e10XKBD36pztLSCNdd5HDpthZ3PycQscv0mKRei+lFHtJIMBLleLQGgtklwSWmxi1Xd3j46SrrJz2uu3ScH3rTAh/+cocn9tXpDlwWVxpsXV/lwnU9rt3R4e2v6HB6aYkvPuSz2PM5dsbl1CkPVwmklAgE2hgSDZE2JLFmbCLiskt6BEHERZsC3nlLwPSIYrzhE0UVzsxX6PU9eoFd5foDZZ+hZe1+IBgE2JUgB7aNYfqhph9CLxR0Q1jsS1qx5vZLD/G9L983mfCy337D1RdFO6997uOf+tQnefe7v+ufFsDTmm0FwfQDn+q9cvfemT9anp2tnZoZ5c/u6nPzzhaTzT5ay8LWSd9IHKu9hcRRAtfJXi0QPUfguZqKa6hGhlpoGKkkjFUFvVDSCescOVnnVz8+DjpGxDFXX9Zj69qQOAZtNMbYJI4UAqkEjuux77jHnoMV6hWHhieZrAmmJiTT4w7rpxRb1iVcuGWFRCzyO59rcuz4KNftcLnovIR+3OHRXT6jVZeJEcNoI6RWtVJIa0lroFjqGhZbCa1ulZdfusKTe3rsPa4YbVa49pJRfvTNi/zu5+Hpg3W6fcNKx2F2qcnayRrTYwO2TAz4t+/q0ay1eP4I7DshcV2DUgYhNGDs/wzEMZy3NuHGnTFJ5BLFPsbUGIQuMwse/cCuaINQ5fKtHwoGgWAQSvoBBKHV8kGoU7mjGaTgHoTQCwTdCFqBZGEgWDfe4Qde12P9+AT3P7Uyutif/aNHXrg83qWnP/1rv/8x82//2ff80wH4viOLKFVbP+gde1pHLzY3jS35t1ytONUOOHBc0A9DqpU+YWzT7GCzdVIYpDQo5aCkseB2BI4SeK7CcyVBqPHDhCAyVCNNEGnC0NCMIYg0QQxhLBhEkiDxiZIKew/WeW4vJMag03tJCXAleMrWfDR8uHQdNKswUpeMNRQTow7T47B5bcC6qRUis8TvfG6EQ4dHuOp8xfkbJds2LnPv7pjZxRGu3ioZa2oqXh9f+hgliBOJMIY4CVnuVphddLnqoipX7Ojw0NMV1owJapUGV+3Q/NTbFvntz2t2n2qw0tWsdBTzyw6To3XGmlXGmiM0axFT9YgtV4X4bozrxCiVIEV+JtFaEkWKuXmHKFZEsSKMFEGUvoaSIJIEoWQQSoJQ2AA1FAShIQjteQ0Ce54tyG2CaRBZ5u6HgnYoWAol/ShixB9w0eaAfcfggV2KFw8drl16efcj73ptS7/mNZOf++l3fjBxpn/sHz/AD+7+35w/8Xn1tUe6L//aQyeal256xn/LjU2uu0wjKl2OnInZuCbE9yQVzx6OlQopuKUNJh3l4DoW5J4r7EVwBYGnbMIh1ESRIYwT64rEpWcCcWJIEk2isXpbk4NbpAGsI8F1wXcEFV9Q8yX1mmKkJhkbEUyPx2xZ26NRX+FzD4fcv2uclYUml21WbFnncsGmAYlY4atP1Ki7DlNjikZtwK5D8OJhh52bDL1AcfkFEZdtM8ycSZhf9ugParzumg4PPt/nwClFvSrxvSY7z9f8l+9f5L7dfb503ySLbcOW6YTllsNoUzFSd2nUXOpVQ8XX+J7GdxIcZaWWlPYaGINNWGlBrCVxIohjQRRLwlgQpQmbMIYwEoSRIQwhiBLCnDSs2zSIjAV9BIPIMIgEvVDQiQTLoaQdJRANmJ1L+ItvKPadCPiLu0OMFExueKqSBOd/9I8/7v7Ak0fXfeaX/tfHkl/6qX9YJv8HB/j//stxqWT4HsXs7z9/6IB/9HSVZmOFndsjTi84HD3h8oX7fd7z6pBmQyB7ttxVKo2UGkcmOI6LqzSuoyxzR5LQlQSeIIyEvTiRIoohjKR1EOLC9osTTZJYdyExqVOSuiU2gLXujOMIPEfYm82X1KuCZs0w2tCsGQ+YGusQmxU+/aDkw1+eYLpS4bLNgs3rXM5br9mybpnPPWpYWqpw0VrFWBMatYjZo5K5ZR9vKwSRYGpEMjoKB44YltuamYUKF5xX4VVXd7jjgQoTDfA9DyVH2blN8GNvmMOVc/zVQ2O8eKrCmnbE9GjMSF3RqCpqVUnVd/A98F1yh0kKkKIEcuyNnWhIEkGckAIdosQQxhBFiSWFSBOmr0GkiSIbQIaxYRDBIBIMIkE/suBeiQTdKEEP+jT9Dt9xa5utG2PCsMvG8Vku3B7zrpvbLC3sqoxUK3/0829NnEbV+Ytf+in+QZNB/6AA//gnv0icJN//V3cf/vUHn11sLg020I8SHnyxy7bpgD1HJPPzcNcTATPLy/yLd/QYbSRU3IRWL8GRGle5OJHGcxxc18GPNEEkCVPmtowjLBOlrBTHECWQJNZJ0NoGXFqbLB5IwW0BrpRIdb0FSMWHWkXTqMaMNmKmRvtMjq3w8N6Qj95VZd+RUc4bcdm2Fjau9di4Bi7c3KYXt3l8T5OqcpkaU4w2YLQRMDYS43kOQtibqx94LLUjVnqGVjdmbtlj89oG1180x11P9Nh3qknNj3CVhxAjbNug+N5XL/CyC+f46F0NHn9hlMWuw3QzZrQWU6tIqhWF7wp8V+K6AkdJlCK1Dy3KDTYe0poc6HGi09XNkkIUa+LEgjuOIIxN8YysKzOILbB7kaATS9qxIehHmKjPRK3NT75zmX/7PR1GG4LZnQNuvmyBjdOCNWMeg4HPUutwc3nR/Z0F9zrvqUfv/PDLbnjjPz6A93odpJQ/8qW/+uIvMzg9sW0KFnuCpYHLUnuMB+cNRiUwmrAShvz6Jz32HGrxHa/ocsuVXdZMhLQ7VfqBjxt6hK6L5zq2PDZSRJEiiCVRJAlju+xGceppJ6TWHylzS7ShALdNUqbMDY6yCRPPNVQ8TbUS06jEjDUD1k22mW31+L0vunz1yXGWlutsnxJsnhZsmPbYOC3Yun6A463wifsdDp+os2ONZKwhGaknSBlwat7gOxIpwBhBGDlsmW7zBAntnmK5bZhdqrJjY4W339LiM3d7HJ31cZ0IIVy0qRPFkqu3LrPlvW2++nSPj311nKeO1tkwJpisJ9QrCRVP4LsCz5W4jsBR2MBZijx4N9ibTBus05JYwOcgT6yks6sghBmzx4IghiAW9GPoxJJuBP0oIekGbJxq8cqrVnjLK3u84ZoET1ZYXvLwlOJlOxTdgcfMQoVur8Jiq8LJudZEc6r7gde+7s1qZaX1x6Oj/zATt/5BAL7cmidMkh+SK1/5ZRU9Mz05Iuj2BLFOkEgqStCrCPqJyyBxCJVLK/L5xL0V7nu+y1UXdXjvq3u88bo2kyMBvUGFfujhuy5R7BBEDlHsEEU2YIoSSZzWhMexJEkEiRaF1taiqBE3lrmlAKWs6+AqjedqfC+h6sc0qgGTo136UZ+7dxk+ee8Ij78wypjnsnODYd24ZM2Ex/opycY1IedvWOb5o32++OAUI8phakTQrAuatYhWL+HLj1ZoeAYhLLD6gcObbwy48zFbE9PqauaWHTZON3jrTV0e39thzwGPuh+jpLAg1zUGodX63/uqFjvWzfGJ+9o88uIox5errG0KRiqGmqepOBrPBUcJlLQ3smVyyOwpnUo1rYsVLk6BbgkCokQQJWlWNBH0Y/vsJBCEmjgMqVe7vPX2Zd776jZXXZiwdlwxGNTpdFyixCGO7bUKY5dB4NLte7R7HvPLkruffW76cHv0l//1979cd3oLH2rUJr+9Ab7cWmFprovQ/vd97Iv3/lpv6YsTB45pTsyNYgDfAe1plBD4SlCLBQMNg0TSUx6B63Ky7XP6sRqP7erxmZ0d3nlbj9tvXGF8xCMMPYLII4ws0O1TEceKOEkTNkkBcG1S5tZFTZkQJg0qbR2H42g8N8H3Iqp+SKPaJ6HPN56WfPyeUV44MoKIfM4bM6wbNUyOKqbGPdZOStZPRWxe2+bEfIc/+FKdOKiycaNgtOHQrEOzFiHckHa/zmjDIIRNXkWxZNxXxDqmE3l0egnLbcWp+SqXnN/gx79jhQ/8hc+x+TqOitIbwyGOKwxCydoJn6u3t7ns/C67j53ik/dWueupUU63qtR9RcODumvwHIOrwEnrd4QYrq7TgNH2pku0IDEQJ8L654kgTFJgJ4JBAv3YEMcROgqZqPR53W0rvPu2NjfvjBmtOkRxjeWWRxS5xIm9PnGsCGNlV97QIQhtVvq89SGBOcnyqdPTrTP9X/NHXxd3W3N/ZpSiUf/7m8ny9wrwpVaP6ljtLY88+cTv3nvPA83dhys4SjFe1biOlQK+C1IanBhcZfATQTWBWgK9RNBXPkHsMjeo8FeP17l/d49rv97hX76jy8WbO0yPKpp1hzD0CGM3ZQhFnKgU3JJES7SRGGMlgckDSmzBljI4SuM4Mb4X46qQdj9ivh3xW5+rcGRujKf3jGK0x0RVMD1pmBwRTDQVE6MuayYkaydiNkz1mBhd5qvPaJ56cZTLNgrGGpJGTdKsaerVEOEG+L6Do+zfNwaSRNIPHPqDiFgLOn1Np2tYarvMLDa54cIu11+ywie+XqG6pHBkZAFpHOLEI4xsj+fkaIWXbevysu1dnnjlaY7NSz561yhzKzVOLvp4SlJ3BV4mw6QNPHMiz6QKlsljI4g0xFoQJDCIIdQGkhjiCKkC1o/1uey8Lv/y7R2uuTihWXWI4zqtrkcYeakN6RInKiUfmVuTUWRJSClNtWK47aoamJhHHnpwYsO2xu9eetlVy8Gg88W/T0z+vQF894v72Lpxnfr5X/2z7U89t6/ZWVhkTcMDDK4DUqb1EmTVgAY3EUSJwUsMvhZUEkOYCPqOpO9WGCQei2GVu55q8vCLA+p+wA+8vsWmiZgt6/vccGkHRygaNQdECnCtMNrWShtTYm4MQhqUsF6uIQYZs/uI5Mm9Dnc83mD38QZhXKPhKKaqhvG6YaxmrA/edBgfcZgYFawdj1k/1Wfd1DL3vxDwwTumWTfqMNWEZl3RrAsatZiqH/DwfsUgdHDrFlTGCMJYUnEUV+7o89iuUVv41E9YabssrPjMLozx42+Y5eTCIo89O4UrARGhgTh2CCOXIJR0+w5jjQqjzTrX7+jxyst6vPfWefae0Nz5eIXH91bZf7hOLByCQNGLFErY0ofhwDPNCRhNrA1Ga1yRMOKFVIi4/qouW9cN2DgZ8b7bA6qepFF1CMIq7a5lbAtipwRsSzqZfIyzVy0wGgKj0LqOEOCKJZzBl5qzRw5uH93xE+rMyYPJuo3bv30Avnv3i2zaMOU9/MjjP7h51Pz6PrNMddRFSQutbDiSNqkdpyGWhlgZXG2XxTgxhKn2q2hDPREEiWDguPQTl56u0ukk/NonxjBxxJqpAZdsHjAxEvPOV/XZPB0SRSLV2xJKzE2qP6XUCCn47H1Vnj9URzgOx07XODVbo1JVjPiC0bqhWdE0K9CoCkZqimZDMdZwmBiFydGYNRMDNky3ScwKn32wSb9b54KNhmZN0ahJGlVNoxLjuiFffaxC0JO40yBTMEWxpF5VvO7aPg88o+kGkm4/od1zWOk4zCzWuHhrg3fe3Obp3TWOLTVQUgNRqpddokQRRDYx0x04tLoejWqNejXg4o0DrrtwwIm5FkfPrOC4Cc8ddvjMvTWEUhbcQg5fRKMBjTGGOEzYsibm3a/qM9lMuHCLYc0EJLFLEDaIE5fldiZBMlBL4kQV7zNQa0mS9cym0jFbVYVQIAySJkv7BOv6zV+fjp/qjU6c9+GDB/aE2y+4+NsD4AvzJ+l3F3acPHHi95595kk5OaLShIrJNV5mTyXKFD6szoqCbGDjpq5HlAU7WhAlEGhBmEgCLQm1S6xhvtvk3uc1hoQvPG5HNmB0+syyeKlFJgRCKISQSKWIIwepHVxH0vBh65Sh7mpqvqbmQ80X1KuSRlXRrDmMNCRjTZgYiZkaC1g/1SFhmd/6ywoP7Zpm2wSM1VL2rkka1ZhaNaRe61Ot1vCVRMlUg2PlQBS5DPqCfpDQCRTdgabT17Zlru5xcnaEl18S8FPvmuU3PuNwfMVHCI0xEToxRLFLGMk0cFM0+g71iketWqHm16j4EY1qyNUXhHhuxDUXxLzvth6OitMkkEYIMyzKU0mntUQIie8qwGMQOCwuOWndjl0pMzDbZwZolfrrKbjz9ym4E0FiBDoBbUSKi1Tzx3B85il5/gXq98Ynuw9G0eCFvw9s/n8G+MP3f4F63ameOX3wbfOnD4gN0z69AMLIllAmukiyaGO96UTbPsdEGxItiNPPsU696/wGsO+r2uQ3RGyw80a0JDaSRDtE2idJba/yI89SCnCEsJlKBZWqoeIYKirBd23wW/EMVV9Q9SS1qqRWcSzA64LRhma8GTMxGjA93mX99CIfvEPzsbvWsGlUMdnQNOuKRk1Rr0GtmtCoRpxZ1Bw641PxbPktZJV+gkHosHWtZu3kgPbAoz8wKYtLVjoOjWqFRm2U9902x+EzM/zRFzfgSAeDJtEJsTbWUQoV/VDRDyS9iqQ2cKj6LlU/odWxMYbnJrhOgusmONI2Skhp0/kifdrSFQGIFOSClk6rLHUa16TxTaJlCnL7Pk4D+yLQF8RakMQydWZSVyt/TX349JpGsS0NaHc0R848LS7Y3n7b9u3nH/rYX3ym/z3vfee3FuAP7u14o5X5n9/SOPXzvurLsRGF0xcMAkkU63Tp0jmwdSJSYJscxK4Ww6BPsKDXkBjyJE2WZk/Sm8U+Rf7erOrAs5k8G1g5UuNI0hpycJXAdYz1jR1BxZdUPEnVV1QrikZV0qgZRuoJo42Y8WbA5FiPzWsWeXx/wCfuW89YxWdNQ9OsCQvuqqRe0dQrMY1awOP74Lm9NbZPmVT3FmnzfqC45kLDBZv7PPHCKL3A0B8kdPtOCnKXWqVKtTLKd71iief2z/HYnrVgFFonduWLDXFk8nqSfuBQGxiqFUXF0/iei+8l+I7GcRJcR+MojVK2M0pKW++DsNnjjBaK4Fyk51ekqX5Z2K9J9j4DdwrqMpjT93FC+irSa2xf48QydxAbgkDT7SestAcyMqf/4zWXh941F7vvB8JvGcCXW4Hs9nq/9NGP/+HPbK8f8uq1MWItMdjkQhgpnMikd7ZOAW4lSaKNBW0O+BS4GdhL2bY882YMOpU6WbLCGJMHSqyywbJUdZbQUTLNWCpws3LbNPvne4qKr6j6glpV0KgamrWEkXrMaCNgYqTP+qllHtvX55f+dA3HT45y/qRmtAbNqqJeVdQrUK8kVCsRnjugNTAoqXCVQcriyOzFlkSxR7Ma0Ys1vcDWWfcGCZ2epFVV1Do+Fb/BeWsj/ssPtvhPH5E8umcNBoU2miTRxElMGGvCSDEIFX1fUg0UFU/iewbfU/iOxnWt3+8oYwGu0lqfVKYIYc5q0NWpVtZGYNJaFtvoLNLrlKX+ZQFcXQaxyFfjIVmagjtObCdVEGmCMGuegH27T3m336x+9pprf8LV0ff+e+nW/s7p/L8zwI1ZwpjO+08euPdfT/mzlURX8F079SnRIJCpWyLSBEzG0gZHlxhdU3qfsbMo0uulZERxwklZJpfbJf7JUvCFPJF5J5C1y5y0Fc11JL4n8VxFxbcjGaq+oV7RNGoJzVrESCNkvNln/dQKj+3t8Z8+PMm+4+NsGbcOS6MqqdekZe+qoVZJqFUioiTkz7/eQCqFKw1KFDahNtly7vK9r13ma0+FdEKfXgrwbl/R6SpavkPF8/HdJhduivlvP7zIf/iw4JEX1qCNJNE2rR7FttAsCDVBxZa7+r6g4gp8z2Y2PcfkGVtHaaSybpat2CwBvEh5piBPnRZdgF1rclbPi9cS66PrMsCHwJ2VBpBOAkizppEmjGz5bRDarGndV3z57vnKfO+Bn37D614tTsx0fmHT2r/b9Ky/M8APHHwRjL4+6t5Z3Xl+QrdfRSmD52qSxF5Jm1ARqBhimS1XKVsnKYPrAujZ56ztyjK1yU+oMWYY3Oc4rgzgWQ1GlslTSthOIEfkdeWuK239hieo+HbmSc1PqFctuJv1kNFmn6nRFo/v7fFLHxpn97FJNo4JJuolaVJxqFds/Uq1ElP1Q1w34NTiGK4SKKlTW64IMpNEEseKdWM2edKOKvQDY5sIBgmdgaTaU1Q8F8+t4DojXLQx5r/90Dy/+Cfw2IvTqf7VRIkhipOUyTWBr6mEkoGncgnmuqS5CJPWqRgcSSpTQKSvZYxnODe5bClVJg69UmJzSsAvVuBcdpZKAuLYxmn2uG29S5zeUY/uCTi0fH/1mivXXq+k+Ovg+PcL8P/1oTs5csyt/ZvfvMN7y3WL/OjrDbMLDlEicR1J4hqM0da1kHZ5dpS9e508jZ65KSZlZ1Ni6hTc2fv85JpvCm4oUtJZlaCUIpcmSsq8E8jKE6i44Hs28VD1rX6uVSOatZDRep/JsRZPHRjwH/54jF3Hplg/qpiqa0aqgkZFUqsoalVBtWJvDpvqD3lsj6A78Kgo0psstUtNEWhGsUO9orjh0g6P727Si4p2sF5f0fEVvqfwXC/Vz6NcvEnzKz86x8/9ITyyZ5pISyKt02bpogcz8CS+py17p7Upbnpz2yepTClknEyzvOcCedo/kcqV7D15KUQB9PRnWeyUmwmmZDCU6l7irGqxKBHoBIJTHcN3XnqY82t/6sW1H67NHf1cb/q8t/3DA3z33iNcuG3j6G9+8C//oKnCV3zlkVFee2WHhm+Q2ASO42i0kSB0zqJxAioPMopAQzsiZ+vCVjSFvjYFk+daG/umLEsQtqBISPJO/AzcSmYX1FYMug54LrYTyEsLrPyEaiovGtWAkUafsUabZw8G/Ic/HuO5o9OsHXWYqmlGqlCvCOpVRa2qqOXsnVDxYxq1Afc/57HSqjA2VqTJM7DoVJ9GiWJ6QnHbFV3uf9JOcx2EugRyScWVVFwH1/FwnCpSai7eZPjlH53j5/7Q8Mi+aSLtEKUVgLbs1TK5H8m8utBzJI6TFmFJgXKyc0N+fNlNmEkVkVWlUSSECqBTsoApgn5dkpQpQZ1LjmbFXVF6zJmpkP1bW9cnvPZKyZk57xXeyME/2Xrpe3+itXR8ZWT8b7cr3N8a4K3lWZ7btfRzvaXj79nSWMZxRzk9W2PNuE3xitSpIGPwTAMrcBKG9ZkuMYCGJNPYumBr/VLMnSI9y8jl2ltmFXSF7s4qBh2Frc9wDK5rG4srnqbiJVQrMbVKRL0S0KgNGB9p8fT+gJ//w0mePbyG6VGX6VrCSM2k4E7ZuyKp+pb9K35MzQ+JdUAn9BFK4mYMnmtwkbJbWiAWudS9gS0XCCuMZSAfJPQ8y+C+J3EdB9fJNqA17DzP8IGfmOX//X3NI3vXEGmHIBGEiU5ZXFCJNL5r8Fzbu+o4RcufSlc0e37SLHP2WirMym/McqxjWBULleRk/rkoUc6eSWYTl6ziombf/v+kgLGqYWrU4+Dxzew7bJhYM/OeSD17KEmiX/wHZXATHwC1dssDX//EZdONBa64sIbvCuLYoTeIbPAibDBjwaeRab11nAgSaUiUWOWQiHxJ0zm4iwh+dT1JYXWbgrVLFyVfbtMOHZUGU45jcJUFtu3Et9WDFTdJdXNEtRIw1uwxUu/w2J6YX/jgJM8cXsPUiMNUNWGkYmik4K5WrJ2YgbvqJ1S8mGY9ZM9Rw31P1/GkxFU6DeKKRT9bvqNEEWuHW66O2H5+l0PHq0zVSNvBbA9kb5CysKNwHDcdfGS960u3wK/82AK/+IeaB3dPMYiqBIkkjA21tIbbd7Egd7LVS6cSRSJVkq9wSooSwEUJ5KVl8iyQmwLg2bVKWTvr7NcGdGLyJughJi/bwak3LiVUHWtOPLXHEkRy6DT7Tz1+2ff+0A9teeKFY8eu3bnl7x/gew/Ms/vI5Hkj8t7fnGwcf8t5a5cYb9YwBjw3yX1VMHZQjxAoYU9crO2rBXfqhWfReO6aDIM6O2HZkrgqh0O2dJ4FbmGQKrMFi5Y3N2Vuz9G4rsZ3Nb4XU/FiKn5IrRIwPtJjudPjgRfgVz6+lucPTjKZgnu0amhUBfWKyL1y67xoy96eBXjVDwiThEG/QkXZm0yK0tJPli0UaaDpWC3vBAShoR+JEsA1npfguQ6uK3GUQkk3BzgCLt8q+JWfWObX/iLmkb0TnG41GdQlo4mhEdtpA376dHOJZlK7kBLACwbPjzc96HOFeCZlm2JlNSXZYgrQl0CtM9DnupzSs5hJI4BuXxNFIcYYFlo9ZoKlt1z+zBPJm1515U8nvZmjqrb27xfgDWc/yjl53fLsnrcN2i8yPdGkWrFNBmCj8cwGM1ogjUCnzonSFtyZd5pZgnmttjGpPDF/Q3BTAnc27iFjb5PKE5NWDVrmdhyN6+h0zESSg9v3UnCPd5lf7vPLf17ji49OsdAdY2pEMlVJwV2xuruWBpZVX1LzTcrgVntX/BAIuedZj+XIY8JnqB6b7PykK1SS2OaHpu/wqqt6PLYvpBP5jETWMhuEGi+wteqeYwHuKIOSLkLaBA0GLtok+Y1/2ebOx/q8/0NrOLkwRn/UYdQTNGJNLQY/sqOXPWUHGrlZoClFHgRnr+VAvXxjlhk9uy7FympK3y0Ddykhl7tjJWelBPKyOyaE7SQCK11W+pJDzxzigvPXv2280fzzVqd/9O+VwReWe9Tr1Qv27vnGv+ouPsSm8YjuIMBRmjBy8gSAKSUGdJIxtkyzl4VvWmTGCl/VlD1uikid1QAfCoJs+asouQAyrX22NpgFtqN0MWbCTfDcmIoX4XsRjWofx+lx/3MJf/LlJnc8NE2om0w3BZMVK0usBZj55Cp9ipS5y+wd4TgBD784Si90WFcz6cq2msEzK82WklZcxfUX94m1BXg/Era5N+tgD7QNDh2RsnhKKGnu1iCYHBW859YuDf80H/pynwdenGAmqtKrSJqxoe4YC3InjUOUSeMSk4I8JQYh0jgmGyRUsPhqgGcEdDbASUtxzSrZWZIoZaclzVivXsG1th1EnUiw1Dc89PST9Hu76QeGv+njrwV4v3OET33hHtZOjay//6kjrzxzpsMvfm+HiRFDq1tJi9ttDYLW2Uhfic4Z26BVucPGZsWSlOm1ObfeLoKa4QXSgtuUZIlJAW7S8W4mZW+d1nyn4Fa2FsN3IzwvouKG1GoDPK/Hx+9y+NU/m+bQ/DiuX2FtQzDuJzR9Q92HetphX/VttrOSJoRs/UqSrgRWniy0E7qhbdXypMkDzOxrZFabrcuxCZ8wdqm6A9aO9lnpNehHIh23ZmMF101Sm0+ldqfKV8wicLWVj2+5ucs1l8zzKx8d8LGvTrEU1+n5LnVX0nRsDY7vgKfImyGcLOmTrnwylypFAii18TNhmEF8COgmB3bJaUmZPCm5Lokp24liiMWzZFGs04lciWCpB+O1Lm982Sluveba/6Sdq/Z8z6v/aNfEljew86JN/98ALoj5vvdec96pY/s+ePzgbrZNxtSrfWquBW/oJIRRVmlWFOIkOp2trXUObqOLeYM5sLUoLU+idKLEWV63IEsrp+wtS+BO086WwXWJuZMU5DGeYyWJ7wX4bp+jszF/dGedzz84weHZMZo1l/EKjPkJDd+kqfcM3DIFt8yTQpVUe/uevXGa9YDPPexw4FiVirLj5fJ2MQqUF8kSq8Oj2OGiLfCmazr8yVcm6NYcmumIBj9M4walcRxp3Q9FCeRuiVbt+d08KfmF7+lx2daT/OEd4xyeGWEprtJzHepKUEuB7kljb5zUZVIlkpBDcQ1DmvxcWQiTIn0oIbTKQjQpgE1mE5uCvTPrONa2mC5MoJdIuokhiAKCIOCpfT6n5zqXveY105+++OKXv77daf+1UuWbAtyYAPAYtO7ZWOGRba+7/gVqIz0cN0IkPepVg6MSHOWlXTUp0HNpklWfFRVqidZFEY8Wq4AtSifrJW64lFVk/lqeoaJT1yRj7wTXiW3njhPj+wGeE9BJQn7v0x4funMtpxZH0arK+Ihi3DOMeJpayty1PH0v0zqVVJqk3nkObs9mL4Mo5MBJn27oM+anLk6WdMpciSy2MKWalMihWXfYujFE+QM6YYO+J6imM0i8VF65qURxMtdDqJcIXhVTIz1+/C093nbLDB+6s80ffXaChX6dvlOh4ihqjqCqDH5sLJtLK1WcjMlFkcbPAY4ZdlZW42UVm2e2btlAyEBdZvJEC2KTgjuxbYy9RDBINCYa4OsecTfhaw/5CDnHsnxu2+uN3Pie1197tN2NaNbdlzymbwrw/UfOUK81p44er336Qx97ytXaQymHKNJcuW3Ae17bZ7SW0BtopHRRiSaJFXFaM6ylTN2SjM1lSY4M63aTVQOac8mSzPM2JYCbXKIU4NYolaQMnuCoBM+NqHghnhvSGoQ8/Lzk43c1+eyDEwySBp7nMeEJRj1N3TPUfEPNK8Bd8SW+L/FTaWITQ6kzkQLcc23m88gZwwNP1QgjF79uzgows0eW5s5KUcNI4boOt13T4RPf6LLvZJ1+xc57CVyDF4MbadxQo5Sd02hlhCyG+2QAzzx2Lan5DmtG+/y/39Xj4s0BH7urwZN7Rpjv1xkoD9d1qDiCqgRfpjZqZq9K64bJ1SyeXgfOQea5Hi+n9iklhSj6PzP9nRibP4m1INTQ14K+NiRxjAkGrGm0ec/tS1x5fkQQKRAKKb/o3nLZpZ8mmb9C6db835nBt2+clnc/+uJ1v/OR+0a+8fA0WtiqsSiKcNwOc61ZfvrdXeoVgxS26CeWjgW6ymRKyuApuAtQl8EtXlJzZwDPGSQrDBI6L/eUUqd2YGIBrpJcjjhORKsb8dALgj/9SpO7nh5hqdVAVis0qopR19D0NDXXUPMMVY+UtS1zV31JxVNUPEHFI63Q0ym4Nb5r9bdyAvafhFOtik2spPp2OHGSE3jaB5nW52hJGDqsaQou2NRn1/GYXuTaMQ0ReKHtX3VVkkqULFEDclVnTl4jktqQUWLrw999W5/br13m7mc6fOSrTZ7c02SxU6MlPbqeg6cEnhT4EtvDKQ2OMHmxWmbB2sD+r7MPSyxeuvFyBjc2qZeU+kADLQgNBInBJBFEAyarbX7qnYv8m/cEKFkhDHyixEEnBif4q5Hlhbdfh3/1V9LT+bcH+KGjp/ymL37fGczXL9tk52K0QsnCoEKrp/j1T9qak3/z7j5VLwOdBblMJMqkgWeuuzNZItK7XJTswCIlXACbgrlzBk/nFsoM2Dp9TVAywcvcDBkx34m5/ymHLz/U4IsPjDDXriMqFdyGS9OBEdd28lRdUtkBVU+kT5mWnKa62xP4GXtnAHdiPC+m4oUYE3HP0z7HzlSZHBe4UqdORNaLOowCo0u2aaLoBy5b1ghuu6rH5x8N6UYu/UhQcQ1ebFk8iExplVK5X42QQzLFPjNySZsSYoeqH/DuW/u85ppFvvBghzsfqnH/8w3mWjX6wqPvOTiuwhECVwpcKXGFSaWWQSJSyVUEnquHpZaTQaYEdG0EmlSWpACPNUTGAjvSoLUGHUE8YLza5affs8hPvzMgCpvMtRt0+lV6fc8OCI2T+o4r/N/3KycuBvp/J4Dv37+PbrfHZH2AL5Vtqeol+FKSGJd2p8bvfHqM99zW59LzQjuCOGXUREq0SXcfzqVJNoDHvs8vSH7hS+kyUXJMSuCWQqfNwxqRAtxxEjwnolKJGAQJ+07B0dOKT359hK882WRuuQ5uBafpUlOShmtoOJqqa6i6UHEtuCuunUloy0xl6SnS35sU5DoHuefa9rRDpzW7jvjguukyb0op+uG0YHHRyRsD4sSOc965NeCSjV32nqrRr9jRGn5kCBSptadT9s7clMyCLLRK7rOnQb3WKp0+4DIIXarVgO9/XcCbb1jha091+dQ3ahw9XWHvqRrhik/sOwwcB6mkTeeT/j2sNleZPCQLoDMJWWJvslgqNRQQxNl3xnZmlWv8MYkFtw4Rccim6R7/8p1dBHVa3RrL7QaLrRqtjke7p1hcMZjqIfzKN9894iUBfvrUaREEg3/1l5/79OTUhE9jYDsuqn7MIALZFhglCQLF3U/7XLy1g+Ok6XltGcYYmbomBcAzSZK1RmUgX/2wjokpdHfaFS9FtldPgu/bSapxkjCzCF+/1+HQySr3PV7l1HKVQ6fr4PuomkPFUdQdQ93R1kVwDb5jB8f7LimIs6dMnyoFOKnmTsHtJviuZW97Y4UcmYc9R2u4ctgeHNauqxyGvIEg7XGMXS7Z0ueC6R4vHI7pxS6NSBA44MV24KUqAVxKgZByiMlhdeGTyIPZvCk4cQlcj2Y15HtfG3DzZW1OLbe55wmPwyd8vvZ0jdOLFZK+i5YOkadAqjRYtpVZkizJVrxmRF5o8WEmH25QSc1xk/XSxqBj0BEOIbe9bIDnGsKBROLQ7Vc4PVdlqa3o9KHXN7y498DkO9/xrn81M3P6A2vXrj+nNfGSAD964CESnbynIhfq6yYgiGwh/cSoYmK8R8/p0t4bEQ00f3mfz4+9o0PFiZBopHTyJVIZtUpzS/K2qOyUnJXIsaemYO1sWqpdnl0/IUoMh08Idh1WfP3xGi8c8XjxSJV24BOEPrgequnaAUMKao6mWvKBfSer08jKZm1duJ/KEs9TeJ5MbwBTaG83sZlF1+r8ihdhdMjskiQwPo4j8aTByRIlqzQ4FCDPAvDMWg1jF4HD1HiIVAO6kUvPEdbpiIqCMUfpoQykFKUoNlslKVbOJCsLSOfGuInKx0/0Ao+1YyGb10RcfX5AP+zzA0davHDU4+uPVdh1pMLh4z5R7GB8RSIVCElS/nLZ6pEdQ4byHO2ZbskawsuvKbiNtmBPElwR8/ZbB1TqCUL2eeFwwON7FSsrku5AEwR2IOjs8pn6V7/x6HukUh/4WzF4qxtjjPnA0V2/d8n2jS06PY8gUsSxQEjDeev7vCM5zZ6jIXc/5bLzgoheX2E8TbUWI00CWoCWJJEdwkNJd2cetyl5w+klAdLBQI6GtOYiCg29gWXyoyclf3GXTy9SPPtihYMnfBa6HkHigeOBclFNhScFVQU1Zago7DgzlRYepQOIPFfYpEcZ3K7ES2WJ74HvkbomNmXuOhrPjdOMaES1EjK3nPD1Rxq0Oj5jIwJH6rxkIMPB6ofJnIVci9vVcHJCcfsNA772ZJ/jrTp9V1qZ4oAbG9wo86xTj10m1i6kPOtE5n9DG6f0NyzQvUSROIrYVUSJQxS51kp1I+pexM07Y66/OOCtrxyw/4TkuT0u/VDxsa/XODLjgpD0+g5JKNPyTYlxSnexEOcAeLn+ogC5iA1Cp5sQmIRqLaHiJdz7tMd8S/CNJ6s8d6hC0IXtUwOksOn7QWjoBrAcHxA/8M5N6vnn/yK+/PL3/s0A/tiTdwFc1oyfq2xZ16XVbTAI7Yny3YSp8YA145pXXN3lzbcJ/tX/GOGWH5/gqotj3v3qgS2JTQxTo5orL42oV2w2q2Brcc4IPHNJWj3Bc887LLYl1Yrk8T0uX3qwwiBSDCLFmRkPLRwi46KFC46D8B0cKfGUoCINlRTYvjL4yg4f8pzU83UK5vayvswc3Crt0RQ5e3uuxvOyAq0kZ2/Pi1Aq5N5nFJ9/tIHyHGu3Denvl2bwzAu3OlwSJYrBwOXNN/b54sNtPnbPCN24Qj3V4W6mwyPy4rasW0iI7E7Kzq0cDvB0ocnjRBI7lsldRxE7Dk6cWKCrBKXsIP3xasyNF8bccGGEEQHvvLXHILIZxr960OeJPR5VX7DQVjz3gke7J1OVtMoXHfISLciNsf2rV14ZMTma2MaXxPDu1wy4+qKYfcccfuYDY5xcrmH8EaabEpFofMdgjKAfwWwXzNjC5ZvWXfB7wI//jRj89HyHdZP15h989M+qG6vznH/xgKqfMAg9tAFXJVQrA4RMcD14Zo/LI8/7zC857D/h86W76/lqNDKWcN3lEY2qPfiX7sNJT0rqOqx0FU/u8mi3JNJRBFoRGGWZSTi2uFw6IBVSSlwpLZilwZcaT1ogeAo8VczosyAvxiTbPX5k3nhcBrdl+LSs1s0YPCk9Y3wnwpiQUwseYVDBH5F4adpbpVV5Q1nMchCWW6bkzJpoRRi5jDUUmyZDPDGgH/v0Y0HVsUMwsxqSLKGlZLm8VeZ/y/6N1L3SujQEX6d9kqXxD3GS5g2UTZCp2LbARdZydWSCVDEbJ3W6Ymgu3jwgNH2ko2m1BU/ucljp2j7ccnPnOXKeCGzxVb0C118RMjKqMYn9bS2tdpwcTbji4ogj94JxNUsBGKPwla0+7UbQHfS5vtZSvupeeOGlP9w0yevbQo1/c4CfmZlncXH5A5/+xuKtL+xv8Ns/2eH11y4QJxWMlkiZ4HsBWgScOCP5+FfqrLR88CQxklZJh7WXDWfupbRcnQPguX4U+XsjBDrbcoG0W0JIG+hIO5TGEQJXpAwt07RzCuz8VZVenbSTXpFuvUcObtvWZbdE8T2B55CXmFoGT1nc0XhpdtR1I3w/4sSC5qNfq4Pj4UpRBJi5PDlHbXXJPsuGhFqwKZLEgvx9t/f5wv19Xpxt0E1carHdlNZWAZqiE0dl9mwp2MvOaV4LIksFXtlT57UwjqNwEwtmNwW6kkXSTKkEKZN0j1KdxkMJjtAIo5msat54k7bDl0RKZHkW6FykViQFhBboxCn4Pm1GHmtovvv1XZ7Z7zG7rOj3oB/6SCkxOsE1A95w/Tz//fvbrKkevHXQOfYBY+J//tcy+F1fvxslpecGcyy1xvi3vxfBP5/hdTesILRESM3JRcMdD3t89t4Gj+yqETmOvZrIEmDtI/lmjE1Js5G242SvafAi0l3DbI2EBbUrTC4FHGk/2+GSWVNtqZDIoTQHJWPtoqu+ALjMZYvvmbylzfN0aXBOjJuyt+dESBlybEYw364gHAdfMiRPpBg+HaVM/VBTR1kfx4kijF0mmgFb1vbZOxPQTxwGCfiJwE0Mbpzq8DgrMtMl+atKd5PIJbCdtJt12ZRnl2icRJMogePYv++kWWErV8q5hsKatX9Tp/UwGhnqYoiQMMU6ctY4ipdexUV6U8jUiXvLK0LWjC/w2XsG3PlwnTOLFUAiteZ1N63wKz/Roe5O8MKeAHHkHu9c+Z6zAL62dhohBG+5boCSXb72uOLf/O44793ds/6nFDy82+f+56skkWfL0qRNoeYRtTi3wh6eS1B6L0RRlpm+zwDiCHAFOMLgirSBQVhyd1KAZ69qFcizERGOsptLOU4xD8WC2zZJe14G9Cz4TMGddf84OpcormP1qedFxETc+XCV2fkq7ojCy6SJNMMOyqpvTUmDF6XDRdJnENgJtm+4qcvDzw9oxxV6jkM11oTpCpUVRA1lGYWm6Bwq5RlM2TpMZ6oY0pohgaMFsRI4STp1N33GUg0DPO3YyhwtmQM8BXkGcIqSiqEU3lBiyKxGB8POmUaqhFuvjHjFzhbvuKXHw7tdpLLf9b23DVgzIfnifQ73PaUYHT11ToUwBPDdu+5EOrWXL5/6+jWuPsPaNfM88mKD43MN/sefjxSH4gibz3WdlHXTaDpLG5f6JIvX4fRuORMmS0kDiU0kOBnAZTZ6zaaNlcxes9LYDOzkoxDKwM7noCjyXdrOAngWcGa628lkiUn19nAtuedGeG7ITEvz9MEqOB5OKk+y9HzO4Jy1qKVuUtFEXZSNytwTjyKXq7YHTIz2aS3X6MWKmgI3tt9FJcY+ozLAbR4i/1NZ3qE8rUoby+ZaoJWt9HS1sKUVyjJ5rGRqReqS1terssdF0k2W7NycwdNpWRkrl5N2rH4Pq26M9GZJDHHkolTCK69IeNXLotxGTmLFQkvzp3dpjpzucN3OkWu+722vePm119/50Nu/o9gSZQjgzxxI8Nzgjfc+pK88dGSAUE26SdNuWlOVrJYUWYZOppAduqgFzpEUxfllRlNDAC+AkQ3JUWL4Z1lRfuYxZ2B38ha1Atj5+7x7pQB21nxr2TvV3A653s4sQcvYBbjdvDoxQhBxx4M+D7/QQPoOnhR2/rYsjr+Yz1Kuo85J/CVGo9kBl/2Byw2X9nnTzR3+6I4GYeLTTSSVxBDEpZtalGSKlCmLl//USzE5aEcWA5dScCfKzu+OlcCRMh0toVMyyfR30Rcq05IEkYJd5PUqGZuTgz2boDUMakr/TZHQE5RuEmkYBJncMakZoZEi5kfe1KEfHWRyrHLlxqnOG9eNhw+dk8GPnzjF6Ej99k99/u7vefSpHruOryUwCietzVhdWpOBNQNmOrT4LIAXMf0wo+WvOXsXN4DKgVEswxmoy/XKSpGzuZN10GfsXQK7k3bDuGoY3HacwirmTns2vbS9zXWyhoO49IwIifjUPU0S46Py7GU5wCz6GjNnY0iDZyyedzWlnU9JFmw6CFze/aoef35nwIqO6CcV+onAjclZXEqDjEUuHaxduFqLypI1KUogFyRO2vGuUpA7BqUFTmIZXSUGJWUKconMRr7JQpZkMkWWM8+rWDwHe4m9yzdAvraVSzREmfmLEg7bb27/7quvTAgjyan5HtEg+Z7zL7r9vsX501+bmFo/DPDRWkjdd7eP15e3KVZYM1JH50GKsZsXUe7BK/n6ZwE6VyTDRTnCnPWzcmG9yG6WUpBWPIfLTzPGzmYOqnx6VQFypVYNu0mBbTeSFaX5KJa5XTdrTDYpcxcBplNib98Nefqg5MDpCka5KCnxpMZZterI0glZ7aIwpMGLBogs6ZMkdqeEbesjLjm/y6P7q0TKox8LKhLcxODEAiWyRg+BjFMdjkSgGf6Twy2FhTQqJlNl/bKO0iTKAl0Jk8qUdIhTUh7cKQtwy78e4DkuRKHLcwmTY+kcTA8l7In8FaDVsSf4zHybfqu1rToVbQ/D+GtnMfgTe+dp1rvcu6vN4XnDeNWyWX4RVnVolOsNVuvqYtk5F8jJ715ZZnFxNuiL5bcUTGWgzmefkINbqRKTl8a0OUoOAbw8/Md225MDO89W5syd4Dk2sWO7giIMEZ+5p8biYhXhOzYcKa0sZ9WgrLpSZe1dZtUhb1oroshhclzyrts6PH2wSZBU6CmPamK1eBGXkII7Wyt06olnhbmpVFmlx4cmGgx1uEuUNjjpCqF0tjqlN1JeplwAOxv/trpWPwN8wc5ZsFkCdc7kGaJW64VC0p1VlWoErpuwef0C3ugxxmrH0F73bIny337nTqSUrCyvsH6kQsO3B5d/cWOnU5V7KM9VhJuDvcTW5abVsjTJZc4QuLM2tFUMngO8mMYkV7F3eYKsZXGJcoYB7qV7BWXgttnMlLXzVLxO3ydDT0fZzp0Xj8Gn72oQSA8lVWpZDs9kWZ3BPNcFy1bCYR2eavHEdkj5icO7XjvgT7/S4/nDVSLl0pMSL9GpeySQSfmcWacrC9rsQ6d/a3jfojKTJxqc3EI0ONqQSFsSoBKTD+ssj10uyCdzU4ZBnY+CS5ncNjGX3JRSoFm+Ec46Y3nsIPM696JS0n5Xz13DqDjBSvwxjC6Q6QAszJ9hYnJt7X/+1h9sfe6FJTodm+aNE2HHgWXbYcssMVEMejnX41ygLruEhRZPbwJJzuYZOIZ7AkXRRiVXsbhaBXA1PIdQZQyeJnmGwJ2l792sMVnbmSF5i1jW0xmnzwjlhhw45dAJPVC2PMAt629x9g18lotS0sNmtReuy0PmrRavu4ILNwx4/kBIon362qOS2JptJ9XgStjrZBNLGXA0RSGUzq9OnuFM62GcfLCp/ZlKGd2eT7s7hcxZXBTMna9Y4iyAF03R5XLnYbYeJsHVHQGZMBGUe3izorEolunu1iLdB6iCOV1hcs22ra//jh+tnTr1//Q2bFhvAd5ZOUMcrrz26p1rfm5p9gDtuk8/SOgHdmRBPwQVGSJpR20NdcKv0ilD1k/5AudarCRDUnAPBZwlUJfHF+TyZGioZjp2LAd40e2SsXZ5F2NXkXrhFtwWwMVQILcsT8rsrdK+Ti9kqaP5X3/ZYLFfQfi29tvLfPg8RhBD3/WlHnlDQLoxkxnS4NZRiWOHZs3hJ9/e4e6nmywGHqF06EuJl/ZQZu5S0XUjSlpW5/atQafg1hjkKmdFpAxuQax1GsTr9Bwrk7tWZwM8KyzLJMowoIc+U2b1YXxYATV8xsodQTrvYZUEkaIfKHoDST+QdPqw0o64oj7+c88+v/ehwaD/hZzBF+dexHU99OAYG6ZiWv0KK21FuxcjRZxWegkyPzPJ6noNJcE/bOSfxdoUTLZaaw/r8JLdWJYpGZBLcwfzV1WMH1MlUDtS4qSSxMkBnmlunQeVrqNzcLtpL2fRkW/B7aoIzwv55D0uuw9VQbpIKfFl4dlLMazBsyv4ktWEJTbXpYuYyZRYy3QzVZed23q85eY2f/qVCtrx6UsPX4o86aOkIBLZCOSzmVyUmbzU5F2uidEKlLGrgjbCgjuzYDUk5fkpUqRyKDMATHrtip+dBfAME/lxpoyeafMMI2edpyIQt2M2JINA0e1LVjqSVhda3YSZ+R7aOUKrC0EYFBJltGkDsmhcs3E6oNFz7AZEwrHzpsPsjgVl7Ug73CVfUNKDKzF58QWK12LZzgrmi609huVJeqJElqKnGCu2mrnPArgsAJ4nejKAGzsnO5UirircErc0HKjQ3Ja9XcdOrVpuaf7q3gYLLR8qqXsiigDspSQKYhUvlZyos2y7vEk7nUqQ2O35xpqK77i1xxcfHrDY9QmVQz+RqT0pUvdGDMUww0u+zruoMKBzNs/MA4GTOSsqfS/TzxKSFOg6XaGSfH6KfU1KbD4E7FVSpczm2Y2YEeAQSYryeSpJlDwZJugHkpUuzC9FLLdjzizGjK2VxLhEqQ53Hn3mELo5ed6XH3jwp1ozB3j15S1GOoJqxUdJh4UlO9rWGOvkSmmpZ1WmdcgpKLsphRd8Lm06PCZMloCezTcsArcywIdnf5c7XOxwd4bBne1skDG3KjH3WQyejZsoRk44ymYujxwV7D9WQeMjpJM35xbVg2UHRZRcjeKEDLdzFQxlhlL2haOitQ02MQ4XbQnZtm7A4t4qJvEsiyep519ycQpAiWEJYKwmz8PPdGUugk/Qspj1XcwuTHW5tCyezXzPO+9Lrxlh5TtH6NUAL5PasD0oig9nB+UlWSxS61IIw+yCZmYxYqFtONNW3DJ+gLfeet5Pbdj86md/4nv2HnWmmhFNv7t244S5fXBmganxkPGmZtNawaGZOicXfLQueFpg7+RygFnIEfGSjskQiw8FmiVgZ8AY0t72s5Umw8DOXxXpKOCyD15+pltaqzK4SyBP96t3VcraKXur9LPjRCgVceejDQ4sVMEr5IlbCn7L3y9jq28mwodHEBe2VzaJQJe0eBg6nD8Z8oYbejzxYg203S67LyVukg75TIalUr5CDnUfpCA3piRRSnJFpu9luqrI7ClIFGmwaUGfiFLcIUHo0gpSBjymNLm2rMWz6kcz1Kl/ll0oCrzJtAm6UYupVQL2nezz6JEqoXYIjWDPkRbHz3i3i2q4tt/nqLNmIsRxQ665aMD2eshoc8Byp809T/j86d015EAwWbdB2ZCdJ8VZOvucgD6HPBkCOqS2VmkeXs4CIgf5amDbTGYKclVMSB0Cd1pNmFcYrga2UwwIyke8OToFeWzliYqo1kIe3af4wr11+gMPag6OFHnxl1p9Q5ack/JqNozuc+jvVZZh2RePYoeRhsNbbxnwlYd7PL7Pw9Rd+olvKyxl1hA8zI5ClMFdgDw36Iztj8xvMGXZPJFWj2cAT2QRcNrPlsWzkcfl65fHT7q0OudMLko3HqveZ7KFIfAXGLK/y6zcsWaf73n9AvMDxV1PNOl2atzxRJWbblKMrNUsrhgcRYwwMb4b4rgd7nxM8od3TvDM/jGUqbKuke5zKdOiwVwjnyt5cy62fil5UmLvEjCGAs2SLMnHL5TZW4l0DngB7uzVdUy+baDjFCOUHSermBsGupuztX2q1DnxvJAoTPjKIzVePF4D10VIhSfIN5cqB5dCrvquDN/shSzJmvRMPpE398KNSD1fmXviSeIQhg4Xb4553U1dnjtaJYg9EunS1wovYdWxZF44qxjcvmbul1GrPXmNVgKVuWRSYBTI7GbUJckoQUuD1BkRGYQWZ+UxxKqnZWtTrOCyNP8QUWL58g2RumiknryyGnv9uMev/HCb525t8cdfbvD1p5u0ezGDQcSgH+Pc9+CnqfoOR08v8slvTPDYnnH6gU/DF4z6Gt8ZPsiCVc8GbD4i4aUAnWnCUjA5JE3KAC811GYgHwJ32SpU5NIknyyrMuY2+TxsOwRfp06KTgGtS8BO2TsNLh0V4XshLxwTfO3hGr2+B3UXKcSQNZhNez0ri3kWfRfvi1ZFwfBk1lUJn1IBVhi5NBohr7sx4Iv3D3jusA+OR6AlgyR1VDSopOxegEhSJhTCWmDlCK60mjiKQrpIy+bZqiJTJlfSgl2mQNd5oDls7Qp9DoC/BG6ELhwfcdZNUZgNAFKZVMZBGCta3RrVisPLLgy47PyQB19Y5Nmj9/KRT76IFCHO//yzGCUTen2PhZU1rK0KRNUW7rhpy5dSRUWfXKU5y4zLSwF66PnNQT0sT4qfSSnO4YGTF1hlWTYnK7iSFtDZjPCzwJ0+3VL9s7UHY/tMu3Zik3DHQ1UeeKEKFdsm52XyRAwHlxlj588y0M96lNi71MaW7UaeOSrFdDAL9GDg8sqdPd7w8h67j1WIYxcjFH3h4CYUx5QULF6sJOdm8uLvG5RKLUNp2dx+Fkidznsv+/26yCYXgDZZH/KQXMtAXySDxLlJUAyDPFsVTSq1khQDSSIJQwXGIwgdWp0qGLhoA2xdMyAxZxAYnOt3eCgl6fYEp2YjVnqa7sB2Lmf12JmmzceFldLmQ3fcOTT22T87e8D6cHApCgYXxWZSttC9qD8ZrkMZBne2q4OzGtzK5IB2S6DOnBPrmNhXpSI8N+LZo5JP39MAPJAuQijbEpdZgyWmXP29Mlhl9YRDGbFcpqwquiqX0Ca2dc9m8FSevjfG4d2v6vP1RwY8echOEoi0opeItOArPZYkcyZKKfESbWcVjShWAd3awfYGtMBWUqJKdmaOg5JsEVkMYDL9bUqsXQoyWQV8YVZhwQ5lyHW9sWkYG2jaQjIrVgSJkUgMUSLp9l0WVxSdQRVtPITQONs2OUgpGAQOo3WXQycjTs4lRUdNVu9R0rdSiNLOXMM6u8zM3wzgiPIdXt4EqQTwIQ2+KlWfHY9IG3CHQG6Z25XDmnuItfPXLLFTaHClYlw3Jkpi7nu8yq6DVXBdkDa49PJxZqWLkB//uTX4anliSm/y0tnyBgLl6sJEolXqqCQOQehy6bYBr7zOsng/sSweCI+Btls15nmEJANUVm5a3GQmu8s4G+DGWAPApKl7I602l8aObzNGDEkVkUkWkYI7Iytd9sZXZXlLjkvO4pISPgqAS2FvOhsr2GxsNtRVSkMcS2YWFfuOCcIoRin7/ZxrLlkBJEr0OTXX5sDpKr3Apepn3TIi17iF9i3ANwTyVZFxPnGJ1TdCcbeySmMXQazIwVyuIhyqRcl3c0jBLbPJT5QYvARuVYA7193prL8heaJs1eCBM4KPfKVBELlQc1N5Qt6apsq7BOeauwiWhvTKuVyUEtCHBlWWdxU259LiDnVf8n2v63HHA3X2nbI3X6IVvUTZKsNE5PMEEQaRpEyerFpJMqiXAs5sYyllbIBphEEaC24prT6XqWyRMmXsFNi5aWA490pNibXlMBEWMiYbAVj6d+VwF5RBpiXcGsdArZKAHPDIXuiFozRrji0au+L616957oU9/+7L9z/AkVnFrmM1/PTg8mxgKZjLveiyRGGYocs6ukjNn83iMj0DQ0tYxtolti7XgMsysNPgTqliy5L8NQssh7YxKd4P6W5nGNyOighNzOfuqfPsgapt9xEOStjMpZPWYJebi8syJf/O59Teq0Ceg7tckmxdFKO1BfYQyCVaO4QDl6su6PP2V3X57Y979LUD2iESkp62UiWXCUmWWc488cJZMYZUohSSxUgwyr6XBkwKWJWXaBTglkZY/1uWVjFTAnuJlbUor26isBHTKsPVMm/4hjHFhrNS5BtdGcCO8tPsPL/Lm24ecHKpzdbtr/53E5OX/ZjzoS8sjO4/wus/8cUGFbdmB6PXSjtyqdKek6UU+fByUwB6uHiq3NVS6Ozi/zssUfIvM1SDUi5iMkPyRKasnRUC5QBX2bYcZeY2q4LJki1YelUqwnUi9p+WfOLuGnb+imVvq70pCqtKgbcUFBWR5wg08w+5LFklC/J9ioZLZ23gmQLbSHSiSFSqxROH77qtx+fvq7HnpAsyxAhJkLj0SN2N7BwnWa1H2UEx5ZbgVOQOB58qkyul14ydLZAzP1zkgWeWzs9lySqwlxmb/EYUBYvLMthFybGxJpCTJaG0lSsC6AWKkXqdN14n0aaLriy93qgDo07SV9RwuWhN1Qp4YfL+xaxhtwzsQppkfuc5Akh7JlcFlatZftVJkMMsmAE79z/zIh/Iu3tyaZJ1nWTb42WvugB7CnSVShSlNMrJspUxSsZWe6uYRMV86aE6ew4U2lsImY+sKKTJKusr/+7DTDWswIcHJ5QbkIs5JqWkjy4633UG8jSFH0YOF28PePPLuxz6hE+Y2PqhRDgMhMDNZUoW6GaOSqHJs/2ii80HLEOrPCYwKAorM2dykQagImXs/HOhx4uAsSRRdHFuVgeUOSHosvxNwa4Lg0FndqgqSre1dglChRBVev0Rxtc2qNU9nJsu08yugWDZ4diM3WU3r/koATzTxJllV9yR4uxAEnE2g4vyF0vv1qFAdThgK+SJGZIn+S5qef+jLjZ8LcsUpfPXLKDMtHa+xYksEjzZ4HzXjTh8RvG/P9dkIC24EU6paz4LblcXFxW+t1iN6HOpk1I9vSl54XooZV/W4GkttJIorUi0Q5y4+EnMP39bl7+8r8ah0w7ICKRDpF36QqCSQvPKkkQ52ws3uXDJjkWZ4tiyQrvsBswcFCnPBroQtltoyBcvAX21y5YnyDjH74ay3Ca3CaUUqMSQKNKCNINAMggVe44IRuYkzVFwlNunWutQqbYJohF89xzlqCX2LrN0HiRwNjtnPxt2S1bbaaveD6W8S8mT1Qyeg1znGnyYxXWJwXU6yCY5h99dANtRMa4T0g41f/TFJqfmfFBWnggpC2uwdBPm71dfmDy+LG899U2AngM+azwo92iWulnKQ+0TO+k1iR02TAX86Fs6/MpHPFqRnVNjhCTQytqGSXZNTHpwWZFTIUeKoKCo8zcYVHobqIzNjcCk5bTSmFw+SGFvDC2KGhSdBqf6nNe7wIRmmNmHzmHm0pCRa0mqymw0dLEVYsU1dOMAJx5QNSHOx74mODOreP45h82TOu9+yZi7sO5WaW75UsBOdV5pyVmdrj3X56EahlI3ffFlCmBnXd1K2rStk4K9kCalndbyvXtKEiWb2JRJE2kDS8eP+OwdPh/8TJNAu1aeCJUGl5zdVHyOtHxxc5d++BIQN2VclWRAoc+LLV/K2c08ha/tVuAVJ+bH39ll/zGPD33JanFQJEgGwvZuyiSVS+WGiFVMXoBaFAeYZzbtCqCNQRn73Y0BI9KbMtXkueaWZfmRxQLmJVl8aNPZ1fhIVn0+hxHhpOP5Kn7CW2/us217m0bTxak7FUY8n/Gqol6VVCoSN62pzqLisyRIyf471wGW7bLVy85q9h62Gs8GdsbkLwXwbEdjlY0zUDpl8wLcTq6/y1WCcemzzVouLcNf3l1jOcjAbetO8vFworAnXyq5c048i2FQ5/KkZA/aGu2idDbfXlFL2xys9XCduLRSRWuHOHEY8RLe9uoen3+oxmJHWaliFJF26OVxUAo0igRQdoA5j5ecktwPz5jbmDThkmp0aRMwugR4IYqfiVzCpWwuikKroVqUs/AyTJBDmKLM6BlWrJy2yUmFIxt0e+MIZwJnasyeqPY6j2bNzSv0hgBbuqvIwAxDB0EJyOX3fx3AyzUTZwO7LFOyru7h5td8y+5sClOmv6UuSZSklL1MVoHdsrdbi7nj3gqP76qiM+2dBpdFYdVwvUlRGnr2qrSa2c9N4qlEKJfMlra/Htr9uVxlaIr9jxKtiBMXR8dcvzPkTdf2+OidHqgQhMQIQagd+sI2mUjMOWWTSWtSi40JChsxswdVVnyVB5xFw4M2BTkZi9+cwc8KJldVE+ohwGdOT4als8mU/P87jC8pBb0BLLdc6hMuE1rhXLYNlsYFInCItWMrB0sB0NDlEPn3Lh0AZx3AuUAvVoF5NeCHipUyNs8nRZmSDjclPV7saqzkucGtSrpb5tNS43RyqpUnvhtx6LjkI3c0mOl4dr9raQe9Oym4nVVAPmfRkCg0dw6gbyLAhxI9JWYfakYuBZumXISVsrhMJEra7U/W1BO+/01dHtrlc2hWgogAhUYSCLvXTlEzs5rFh+VKxuRKZgxvfyON1bt5MCpKzJ3ad5nVl+VHtMi2M7f/dlZNmCX6hkZIlBye/PjE2adRlH6QYdXGLoZON8ZUNRNL4EyNxVRURG9DyHLHoTcQRAnoRAwFQOWLkl83UXq/6o8OM7g5i9nOYm9RsoTksFRR6lwsvkqi5EB/Cb2d7cSmbHGZk9qCnhcRJJo/+GSTB56u2t426YCwo5rdXHsXFmX52M9KzWermFh1PlZh/ewMZqmEtuSoZF54UaMi03nfhV2YJOn2jbHDK68O+bF3t/mlP/AIYmkbUbUkFi59bMFaseSfo7IwKwIr3YAGUyqfLdhcZ1o4ZW9j7A4gGYNrQV7vnzF8zuRkr/bukKI4M8UAUZNj6VwAzDKuBuuJx4mmP7AdPiPTCUYlOJVKGx2vMD7axuBhjINjt0qxRnoG8CGwn4uWyndhcYHL7+2XTcGRgaGsZ4dY3JQkyzBrnwV0VczOWw3uTI6ovM6k+KxkjOvF3POky+cfqBEELlQdEDa4dARF145cLU/KN6o4e3nNn+duOi6VgeTALvRvUXxlFMPsbYqNq6RWKKPTQT22A79ai3nbK/vc9UCfrz+pQEWQDkeNcegNadrykryKyQutkgLbXjOVdvtkbG51uEh1d5r5zOM1Y98bU5Iow6WxGT70kBow5SMZOrL8eHLP3r5PtCGODe2eYb6b0IoS6kmC8+E7PRaXfAYrLq+8jDRYA62KORlFli2drvFN99oeZnT7Bcw5mC5l9bJrUmJxVWbzsmuSfRbDzF1sBluWJdkQ96R4lXGe2PHciJWu4Y6Hauw7U7Ep+XTniJy9V3ne5Yzr2ZrbgqUA9DfRJ6WLla3z5a1NCjYXRTOEKTspOrcMpVAkSYKUDlHgsGNtxJtu7vL4Ho9WmKZftU3zREIxIGPMs8tn85tPFkxuZUoBdEWZzW3SJ8teGpNKkhTMupyVpGheAIYkymo18FLnKpNGxTAgU8KoQSnJO24NecNtHSYmfJwo8iDxifo1lloOI3U7JdQYkU8ezUaM6VUXILO3hvE9vKycvXyXKssy9qZg8rNnbdjEk5Upw4FleeppzuS5HCmGtmeBZpG1tC1pmoQ/u7PKBz9Xx4h0WxSRWYOUrMEiNf+S8mQoICqB/CXYu/w6lLbP9Lc2pYzmqjLaPKuZOivSBptKa6LERSrNj7+1x8HTLh/8vEMUp/UFwlbfDYRE6jTZRjkBVIBcnYM/jSgAZhM/lrmNtJLESJOzt8muda7PC62dnaNCopRW+pcC9lCcYnI8am3sGJO0HGCsKfHVCIoanvJwrt3h0u14zI9JJkZjKp5tBbIGeroLgC7m2A0FQiU2Xx2qFA5LAfiy9i4spFUWYalCL5cipcEy5c2Xij3qS3vVy5dg7pI1qGSE60UcnJF8/r463a5npYnM9oNM0/KytJ31KgdFrP6epRUrEylCvDQjmfI5W12fUmZvU7B49rTFRsOeuJY28JTSzjRs1GPeekuPrzxY5eCZLMctAIUWgkHqhov8AAomL2twSjGBSqVJFliajIyMXRG0Kc5TJkdyP1xno9tEabU726gAUbqtzDCZmoxoTbqJrv1343T0HECsY57bB/XxGmvXNHGuujik3+2xNDGP73v0A4f+wCGIHMJIEsUZwIusmtGZVBl2AYaZnCEdPhxoFjvlCnluYGcypTzkcUiiyGzK6fCQ9jK4raOSlDR3KlGcmCDS3PVYnbufqRbSJGVvmbG3LAeWxdCbYauzyNiKHOmrAqNv8hgK5MveeCktnulwXUr8mBKTWz0uSYRCJRotFHHg8OorQ159fY8TX3YItDUJERFoiHGsVMlvwXPIlfSiKlGAXmZAFwXYybV26qSU5KbRBahtNUCp/zK1LoeYW5jh+CRLNlEa/ppO4Eo0xBrCdJPcXiDphaBNwPimmK42OJsuHF3Z/dzMV5450fvOSza1GK36VP0GS60qxjiAtBVi6T86rMtXuyzDS9rZrkJ5NgY5ixfAzpi8POCxBHRl0tLIYWBngC/ArUvBpM6BnRVUSS/m/ic9fvXDIyTasduwCCdnb+8cafnyQJuzbMIyE7EK3H8ToK9m7yypQmmSalbzUeq4l1IPM7lMwW7ssCDP0/z8D3bYd9Ll/icU2kuDB+xrbBSDFKXCgNCrQC7SQE5is5uZDEkTOypj89L5sdu5lxJApXOmRYnByYLQ4XMlhvBUwpgumLsY+WxHCQ5CmO9IYhnRaPbZuS1i/XrxlerY2hXn0jfeP2uMfL+rNn9nw1viDdeHvPG6JA/qjNLYSUYZY6RSRRq7ZBpKk6iHeXx4RO5LgaRg7PLE0iGJIsv6W5/F4oU9mJDthmxBndmBBXsrFXNiQfKHX2hw9JQPtQzc1hqUkpI1eO6675dM6ojiIg0nes6tVcruVHb2zFkBZ9kPJ5coJrcMDVpk25JItLS2oRAOcaTZuj7kx7+zw+EjLseWs+jYluQZBGG+P0dxDfNuf0kqa1LBICzQjSiV02bZzPS8mFSi5IxeDsgppKjFxDcvTDtLc5djkpTBk3S2ueNq3nRTm9df02HjdIPRxuPvT5JHZ50LJx2UFHT7HgvLo+w5CBesgTVj9g9YhyJtOs2BnlWQpcXvq3R42UQ4S55gSjXhZojFy3u9lC3CMqAzJi/vG5OxtK0sTIZkiUyzldkz8RI+8sURvnBPHVMpg9vuN5Rpb3UWg68CN6vAPaRpVz1W4bu86g0vxeWuldL7XAdnEsUCewjsWqJFmt0UCqk1iXCQ/YS33TrgxcNdPvDHLqEfl5YYgcEhTIXKuTS5lSIW8CqVJVaykJbMFsm5MtBzRk+BXj5XuoyLEmBW02SZvZMc4KY0V93+d75j2DAt2LlxlJrTZG6hxuyiB8bgbJiw/7IeEWxf5zA97hKEmiCK8L0kDwZ06qjkQE+rv8p6ceiall0UzqG/c5YeBrYoA7sMcFG4Jqv3jFHlZ+6kZHs7ZvLEgv3uJ3w+fGedQeLYjKWwzI2wm5h6Wc1JKbAcvkEz16dgvdXJneFgs4Tycz4KOWIyojDDUsVKlFWFV/mKmnaalyWKsAkgLTSJdvBdzQ++scsjz/l8/Rm7DylkmtwGrmHxbQorLmVrsmORJpcl9jV1UVKgZ2y9mtHPGa9QnKeyizLkvVO4dxm4E10weXbufRcqjmT/0SqLy4LJcY+K76K1wZkedzBpsFHzDZOjhtFGsaNvXshurKsitCRJ0oPSw4yz6rKdk8FzmULmeZdG7pZ2C8iGqg+9zwCe6/BkeBewoWCyeEqZoJyIXiB4/5+McPiUj3HTrQ/PYu/Sjm6Cl9DhwyWywxBe9YNvIshLuZThJTn9MMTk5aBTMlRpaMo6XBRAF0IhtSIJFeevj/n3P7zCIz/r0RlIEPEQErVRBFm2hfQLJgYjUyaXVh6RMTf23JiUpY1Mg1CdafJhoGcpe3vuxJABcS4FNwzwdCOGhDyw1KmLl+3t1OpqTs6GdHqKQeRSqxrbk3nxBVMYHIRu4YvTNOuaihfjuTZAE6Rja7UNwESCPcPp5coKgc6axskq1jvnvOhVgeUQyMvyRKf1KMP6u9Dhw+CWuUSxgaXrRMQJ/O5nGzyzt4KR2VbgmTyx7D1UMVheZf4a3T28OhWFagVsxTneFz86V7Z4+FkCMumz3N6WbvJa6HKJlFkxlmO/Q2K46qKQn3xHm9/85Ahhkq0xMj8mLR0CXbpRZXqBs+xG6nBIWVQTSmn/M6XTbGauwQtbuPxepIHr6tzBWQDPz0NqCabAjhNbShKnTI4QBBEMIuj0E+ZXYiq1cfzaCKGOcV57+624bpOluSc5c/hJxpoOFa+YU53t2xjGNnAhy2ClO3fJkm+ax98lx+QlAS7NNwW2EGdLEyFKwM4CSpHJlHRP9VXsrVSMqiZ8/VGfD32mQavvlqSJA6icvb0h1h7e9Go1aw/JldJztfw4S5ev0t6rf5ZPm01lwnASKLNp0+3OReqwiEw22pbDRFjbUIiM1e1MlWZF8yPv7PDUbo+7HlVQyyk4p1stFYEujj93UlI9YKRJWVpYmVIqm5WpDDkX0MWq97kuz1Z6Ic7B4kVwaQEuCGMYxBAkgjARdkPb9Peer3FkyBvecgW33XgFy60Ozplln/ERnwd3V/jdjyhed22Xt78iYMOUxHXshqS9gUd/4GOMII7lUJBl1WNxcHIosVOSI3lq3pQ09zCTF1vhnVt/y5LuLmtvKW3pqywVVMm01kS6MXuPOPzvTzc5uOjayvhUc6fThHAy7S2HGxqGqh1L4JZl5inLlPJFEi8dcJ7FVGXED7koosRiIk/+FFvIFIkfkSWDpGXxpMTiVrYokkizbTzmn7+rw9EZhwOnBMYp3ZoS0JBIRZDJoSygLAWcSqa6XKcBZ1ZVmPnj0iZ/ykBfDXBZArmtt1pVy1Q6N9lTawgT6EaSlVDQCQxhrKl4EZun+7z9lhY37Ii54KKE6TGHsZrCaVYEI1Wouw5zC2P81z8f40sPL/Du21q8/MoBG8cFU6MubWeEKFH0cYfKaUW2dL0EW59LlhRafBV7Z+BPdfYwyPVQkFkAPCl9LmlwEeH6MTMtwfv/uMnn76lh3JJjIm1Sp2gmXsXeotB3w9nXs1l8aJkd+nkJ1KUfrLYHh9l72GEZbmWzYxrMOeSJzPeiTzcPE4okse8TbdKueoMrNW+7tU8rkPzcbyhmVwT4qVjOZInBjolLwWrrWOwNYLSx20um58ekrK1EcRNoila+DOjZfzvE5gyfxxzw2TkrBZJpOQxBIpjrQ3cwYMNYly0TfW68qse7bx1w+VaPXftHiEKP3sAhjhTOIFL0k8qM44ivXXPx2O2d57o8c3gdLxxvsG484OqLAl55+YCt0xHb1hqiWBEnMh9Okx9AeoSr/W55FtBLDJ4NzRli9VWsPaS9dSodCkDnwJYJUsbI9NVxEkI0X3q4zjeeqGHSRI5lb5W7JyoF9xB7r2Lrc8qScwL9HMD+6x5DOfth5yBv8s3Z2hQFTqvT+DIdkll2WNIaFYFBS400iiRWKEfz2msHvPnlPf78y5IwFtb4z9CZAl2jCHUGbCtFnYyxZcreaZWhDTDTBghTMLnO75lsQJAZYvN8xIbJVsZU7pjifsvOr6vtf3j9JStcsG6ZW6/occ2FEdNjEiWrnJxtsNhbx5op87WpcTnT7RjU7/7O7/CO79i5snYiWonD4Lv3HlygJ3z6iU+vV+PQqSb3PtPk5JzH5skqRvuEsSxck6w0spxyX9WgkDcn5LvkpnUlajgNn/VYDtd6Z0xd1JvI/DUpWFwVmttRMYlM+OIDVf7rH45wZMZPmxjSdLxKR0FIgS+hkpbEZmWxdpvsYg/K/DXvDRVDBVirG7SLYf2leeZSYDdOLXUrpa9nbXwri4mqw5WVqx2d0sar0pyz+Xlor8oUKEbDeDPm4u0xJ2YVB445aFO6eymurUGSpKDLjdHSP1Z2zkmBXFiNxS8KZ2h4OVttTeQLnkjPS3oOXcfuSr1xWvPPv7PF+16TsG29T73io7VLq1Ph5GyFuf7FnFoZ/zd7Dxx87OabbrV79MwtOiy1HZoVj/e9JuCOXRFP728wVRGM+Ia679KUPvuPeWxaI6j4CV42JcqUZzmXMpHloDE7yZnnvYqxy8kduz20HtLfYshFGWZvKUrgztjbSzgxr/jQ5+rsO+RDvcTaMtXfQp6TvQv3pGDwsrV5riRPUXsizilTiktqMqSsLihcRep2fc5+p42wg8pKNuFZciX1w0X687zqUEqEUWijrcUrFMJo4lBz0baIH3x7hyde8Dg6VzrgjJIz9k6ZXAtsGW26ktgA1+RTfw3kx5kFm0aYPGWfVx0K8u57WTpH+Z8W2b9lb3JHgesKKq5k4xqPfncde49E1Koh9UpAo97luSOaL91f4bKLJNvOTwjSSNkBuPKKy1BOne2b+vzlV3ucmmsy6cPaesJIzTBWk0yN2Wq17iDdLkRqVN5KXbDF8AahJgVs4Xmv3vJ5WLLoIfDbzKUuafRhzS1lskqe2FEQS23Jb/95k/ueqUBVDkuTrFsnXZWzMchD9d6lLOZLSpWc5MS55cnf8lF43rbL5NxWockDTVMKRO1mqLKYUZK6KVrYZmXb9KtyEtJCkwiD6BluvTLgX76vzX/7kxGWeyWBnBnYadrRSEUM6SZtdr6rkxZZaZH2a6Z6PAOuzEBqzga6BKvtRZHez9CeNxqRrZDgKUG1IhDC4dS83b5lbMQhrCuENGyYaqO8FUKxlq1bL6PV6RUA37hhGqey/q7f/8rnf/Wep9b8nAwMG0Y0o1UYqUuaNUm1qnAcyyyrezaHnBA5XAV4LvtveOksa+1yRtOythjS4Rm7r9behTwZSMMffK7BH3+mQSdJ9+weSsernL29TGZQXJAinigCpeGs7KrpATmbF0t24aT89aCGov4kY+9Vk0pKHfirgJ06KhJWuS6l32sLfJ0Gn9KkulwYkljTcCN+7J0dZpckv/PREfqlnb8tg6d/XIMRkljYOu4E8FJwO+nPtExHShiR1qjYcRJKpBsZloCuMkYXWUbU5H9X5vhKPbpUrggEcQKdvsBznXSstB2INNaQvOOVPivRzK9efMmOu/YdPA2kde3/9f2/znzLiRaWkgvigf4Ol5DRmqBZEzRrkkbNoV5zqFcEFQ98N9362kkH7EjyWYBWG6eVf7l2Tofor243U+V6ktVlsaXAUpoUzHoowMzALdNKQVzDroMe//3DIxyf9wq/WxadOrZTvqS9U4nilKZWlXduyEtkcy0uhjR0PtIudRLK+wnlO1Sc9Z78KUTRnlfefKuQR+fW6WVXZ9jSLHfQnG3XilVyCwMVTzM9qnnoBZfZeZVmL+GlImeDSEdckOr04d/lN2/qrw/H0cXn4dyJKJFI8ZpNNLbTy6weFyndG2R6Eyt6AxdtJnCV9+cH9zzw8I03v7FgcIDvetd3UK9V+MKdD/DQI0/QrCsaVUW9qqhXU3D7FtiOykpXVwWJquxVZ5uDDsuSsg1Y/jysx/WQXJEiKVmFBXvbn6cM7mqeP+zxk786xq4DWSq+rLkzmSJy7X3WlKosRvj/tffe8XZd5Zn/d6212ym3X5WraqtLVrPkCrhggw2YYExMIJVJoYRMAgkTSEIyYTITApmEloSQ/CiJQyD8MMGYEprB2GAHV2FbLrIly5LVpSvptnPOLmvNH2vXc69k2dgImFmfz7mn7XPuPns/693Pet5WsuaFjt9tyWfg2CWJpbqUeqpRWO1pMiGiJCtmcdEZ/y7yN0VqscscXOZyokRqg8Zq4hbkEqElAoUIDeuWRXz4Hcd5/bsFD2wX4FKiKemPkRlMJRpJiHWwuJkFT+meThfIOlVUlEmL/mRGoRzDkl0xMz6SGHuaUs6fezETiCJNRyXpVVeldMxBa0FPLWTp8iXMX3IRcdQC/qAK8OGhAZrNOo1GDd+F3oaiWXOo1xT1wMap4PZ2eQAAPIpJREFU1DyD76UdgtN2IOU8yCz5V5YAXu1dXgK2NGlkYTf4dfq8RE2ETl8vHDs52IWVBCeM5CM31PnBgz6JU5YDC0kQYaPmHGH5Y8a7u/n2jDeYtrjs1rsrrp2noReWiwBVgo264lDysmqViMNykFYaaWhsMygtbOxQxseFsWG1QmsLcKFsQrDWqESzcXWHN109yR98wGEixlqBnKaQBnhnF36DQRKnpdkSYYHuSIOTfkSnxkRjLG0xlsZoUQBdpipRll+gpMgPghAgEptski30ETrflbjUS9SREscLaPYMEEVBfmxzgNdrLvWat33+7MaOZYv6l/huQk/Doe4bAl8TuAbfM3iuzm+uU07u1XnxnWxxWc7AEUIj6OLZFYVFVyy4yEAuq0DPLLa13jGOmzClBZ/4QoPrv1Wno8oWu2y57XU/c8lnEYNOSSWpJBULexGsAlpMA3T+epd1z/+KE4N7pnIcZXc9qSKRva5Nyk9LC83MUuusu1mXI0im5Ze11Agj08asGbCNteBYR5AvYq69bIqHdzl84oYGk5EA1xSeG0ituUmPKSAkGmGtOTYmxaU7YM3um0orZGW0K7P4JlVLsiCuspcn+1t0pNM2TS0xRLEkihSdEJTqZyrs2yFUsF2HSX5cVfbggx94Hy99yeU7Bvobs3Q8frE0Ywz2CXoahnqgqQca30tvbtbnPWt9nVpxJ6suVU1EKHNxKQveLaVGqurz7sdWGy9UE3tvHTqOkzARCz7+pQbv/mgvB496aSuKrCqsW9AUKbHd0cirxLol3p0HWOVadzXRWAnSLm8lHTvn45klytqvZLXzurh3NwcX1fu87UellAZF/Hz+uFyloJrXWinJMe2KkxqTaRM3nU4Gens0m9ZEjE8JHtzhWCfQNC4uKLPqYsIKknQOJFlAGOR8XWcTE/JFc3G1Sid15iTK/CyVADSRZ/HEiSGKDFFs6HQS+gbmMmvumX+3c+eTH121ZsN0Cw4Q+B6OG/zH3EHxM0M1NnheB0dVM21UVpZ4xkz2stphuXjuwcyoRvlAp1a6Yskr3Dy12qIAuBCZaqIRPtz4rRp/8dEeDhxzrKdGdFnwVCIUqfV2RLWIZrcEmHnWppdFrtKU3Fp3y4Zl+34S6z2TFS9yXEuJvyk1KaRDU1AVTInGVC23MN06uU1xs/1tjHW552C3Fh1tiEPD3P6Ed/76OKPjkk99pQlBunPZJcQGy2bXG6xYns4+Y/X4REAsLP/OLLkj7KeKK6f9usxppo1JY2kslTHYLCYbUGXSKrKF80sCUibUfMXQmP5BLaj9x0TSqhzfCsCf9/xL2Hrbb9+2arG4O+qMb4giSLRDkmV0IwqnTBaHLXT+uBwzUna3i246Mo2KpPFz+TY6nxSCkjwoEoRM7P/0DNv3OHzyK3X2H3YhUKk57Obf9ojI/CBXHTqqi56cMFqwJB9m0W8zji4J8VTGjHHg+eOSFJiDnxzUZCDXJq30WqqlIooFp4CUxghLVVKKokWJqkiNNookNMwdjvnFl03xn/d57NjrgpfubOr8qczQLA3OqMIaGGGDvLBAFym4rYHJQG+Kx8Y6jLRJvd7GRgoqYVAaYll4drNQhkTb2BThCCbksbvv/NAXbvvqJ999YoADHJpYjDGSFSO30+MfZ6LVZGyiRjv0SJI0DjxXT4oEhDLvrmjXpwBq0b0NGch1aYJUwb1jn8N//3AvN98TgJ9pbqVFJelzbPSjVU5OHjFYBvK0y3s5e4cT3aaZ8VNHePlhORirtOgsG9EifNZWjrI6cykKMY88pIg0FDLn7cJkQNe50mLT91Oxrw0v3NThz948xp98uJfH92GVlQzkgpSLl6y3yFyfGRLTjKF0f7QQxOlVUkoL9IyvO8L2FUqMQWlR6claxOfbq1qsBROR4GjL0J5ss3pxg6suXUwca776yeqhnQbwRSuuRiknvP4/DvPgtq2csyLkik22t3kcW8rebZ3LtKTilazQjy56gr0nVVIEOueCorzIzD2ZKT1x4YlDDn/6kV6u/2adUKhSCKwii+8uW+9yER9JGdClcN4yeEWBuG53fCYHijKyS9b72R1Fs9gc5AX+SxOgSlPyEmpGVChMbsGxYLdqSyobGoPRCoNBCwkJBG7Cq1/UItHwJ3/Xy65DGWIyfqztFTNj2pnnhizLOAU7xWMjBAm2yW0sIEwtuptZeF0utmStejkBxQBhIjgeJlx14UHOWTLJ/HnreNGLrwiTJOKtb3wKgPcPDjPQ0//28fDc1fc8GF7y0PYxRvpbLB2hVIIhc6unFrqkjhRWWpde012gTuPGy1Y8B1Z1+0wSFEIjHdh12OEPPtTLv9+UgltluYVFjEkO8FTlUCLtcd6llBSeyq5FF11WvYzlrjVXYbXF9G2n4zUH6jSwZnJfZVFVfDRPhDBQrd9djh3PJkMBdJFb6zRmPOXgmXs/5+NYCVDYIiwICUlsS06/9ooWjoI//FAvuw6ThjlmtAQK3pIL5qn3RhZHoxK0k1p2ZMrXBWHmKKPkp9BU+HsmDEhg0xkJv3Kpz4LZQ4ycsf47Q0OL3x6FR6cd8mkAH+wd4PM3fmP8rEXNbWPr6y+oe0bp2KcdTlILOrhunPe5mc6dp4O8ezFZBjKUrWUB/kxSzKmJ0Agl2HfM4Z1/28u/f7NOqMq0pBvYKkerLEmClRxLTrDILJ2L3E1f4t/T+LXoel5+awZOX1lTdoXKMv1pRWEo94nMFp2ZC5ycpogSdRF59k+VtqRWPF+QWk5eTBxbFk4YG1PuYLj28haxhnd8sI/9R51ijZmmjVkuLlJ6kvr7TXmqly+B6bkqWXqDJE6vuEJAJ12kZ1dcT1gm2nSgx9fUjMvNd81i2eL+5MK+udsOHP3W+FkbL39qgIM1ikk88eZ1q2rnms74Rs+1MmCz1iHwOigVY2NSRO5vLfPpMrhzzp1SEPtbzQwWrgz4Ll6uBLEj+eiNNa7/WkCoypagzL3LYLcHyhHgYCotris0pdt6Z5Ms+9OtknUrKJTO27M0yhY5/8+VOhPdHRlKE6BkuSsx46QUBYFA2piQ9LHG5ItPna7ghFBpi26J0QmuMLz6yjbbHnd578ebNvAqV1TK1lvk+5gftNwnP92KV8Fub0ZkZfohSeNgOgimpCRyJb4DnTBh9/6YWlPef+jIxJuHBnpmPJYzAvwVL38xf//Pn0pggZHhQWb3t+ipjyHkJEK2MWg8F6RQJFrabOsSBcm4s1Iax7NUhjT3Lj8rAkggiSVGm9KlvmrZRWp2v3Gbz2e+Xqcjuzh2+QDlVEXk3DuTBnN6UganOAEV6bK6lSssVAOqspEuuoSQPOMxQ+zstMKTzEBXSpOiALfJt8sSIWzF2MKSFzeZyob2i4RIg7OkwRiV5kUm+InmNVe0uOthh6/fHtjyE+ln7M52Xc4MEGF1vrJ1oHSAPVmimSWrbnUfSDSuTKi5GiMURvgcaXu4Y5KlCxVXXDzLuM7BZP2mq08d4ACXveAS4qj9mQfu3r7i8cN7G995MOahHQGO66HjhGUL2vz8i1rMGhAkSdoDOrXYrpsgPE2rBfc95tCKnXSfRY6FJDEM9WiWLkzwHQOxQccZ+EUObqEEX/puwNs/2MNDOz17QETXjfJzkfNhlS5cKgUzyzwcKlb4xDJhsd/VBzOPpyMRVoBMlXd3v59HFNLNvbP308auWVht2aozMy3RZHEsGU2xnk/bSc3k1AVtaePapSHv+90xfl/BV24NLFGWJeAaIDaQ2KC8JYsThpoJWpd+mLD0oxVJHnrCpTWh7Hl1MpkxNRI6Ye5Ah9e+eJzl82OSSKFcxb3bmzyxp8nsuStYs+4aXM8DXv/0AL5y6XzzuRs//6Eplr35Xz7/ZOPx/f3sO+SghSAKY+rOGCsX7eaq53Xyo69cjXA0u/Y5fOveGj941OOOLT6TLZVGgBVTO4kNc2bFnLM+ZPOKkEs3RQwPJYjQivtCCoQDN94S8Ed/0+Shna41xzlvOAHI6ebeMy8uyx68AswFPalQlBmAz0kmQra4PSVgZ+AtG77uOPDMYS2KD02z7CWaoo1AVHRxU+Xi09LdiqQJGzsucoqj09wzJaSNVQ8Na86Iee9vjyOBL93iF9xPG4hgeCjh0s0dNi+P2bw+ZO5wTBJXrYOUhomW5PtbPO571ONbWwJ273UxSlmHnQESzeaVk/zZr03iyQZhxwcMl65L2LYrZO6iM44Lp/dvkYE50fE9IcAB1qzYwNTUcc57aAtP7uuwcp79HQcnPYR0qQUiNbjWk3ngmOT6Wxp88eY6dz8ccGTShSTTSbOzk9Xd0jzwhObb9waMDMRsWhPyy1e1uGxTyNCAxmi48RafP/qbJlt3eBbcQlQBTbf1lrn1tty7ZMXJrLipUJFKzPcJLXjF+JROU+mdk8onTz1O+rGyGzuzqBRozyZBHpBV8XAyw+MiylBUkihk/v22LIjJb1rbuo3oBBMZ1i6JePdvj2OAL9/qQ2wY6Ndcfk7IL72szeY1ISP9sWUfQmC0VbUyF7w9jpoLlrcYnWxx1yOTfPE7Na6/pcHBY256jmGyLTlwqA7JLEbHakgJvhuy6+AwazatPt6a2PvpufOWnvDQnRTgq5Yt6Dzy6NibBobnfnZWz47GUFMSeJLVnuCy80PWL3EIYw9HRRxqCd754V5u+HaT0bZnm6g6Kq3cmkW2W2CDBp2ASdCJYM8Rwb7vKLbc7/LKK1r8jzdMctt9Hn/4N00e3OHavcwvXaX7DPCZRafwWjqUrXa5oGcXH6f0VV0Y7dbALZ5EoX7ln585q+fpYL0SbFW65e9VpMUuwIqSbJgGcxSviWI7LTEiqQI95ehCFC59W/W16v7PrL8QAqM1RIJ1S2Le8zvjaA233efyp6+f5JorWiwYSGx4biyJIkmSOGij0Lrc480qb0ol9Ndjrtwcce66iLPPinjnBwc42PLBcbnr0Vn88SccrtzQJHAdAj+hrzHF4sVzJ9shbxp0F3ROdlxPCvAdTx7SA7POuPPSi64Y2/nYdQ0pNH1NhwWzNWsXNUjiXsJoHCljvn+/yxe+12C0FUDg2YAn4RRSXracNhpMgq1THaVIsIua3YcV13+lRj2ArY84PLjNtXEQM0YPzcy9oYh3UGWeLQqbP+2rYIYApBL4S4AvA1sIZloXnjLIjeEphznBfT4ZSpJhVU8vpbil0XiaQhe3/JoC0BmIKYO/sOJpoe8C5MbSkbXLY970miku2ujw6qvazOtL0G2Tth538pbjSaLQRuUTzh5jjYw1KkpwVMRALeSVz29zw7c6fPWOgMQJSKixbTv0IJk/S9HXdAh8n5dffeXYyLyFd7amDuqTHb+TLvkXzpvL7KG+w67Q1z7v/PXRcB8sXWBYNDfEdTRRbIE70RZ89psNjh73oeaDCkAFCMfHcTwCR1F3JIGjcB0XodJtpEdWFxCs0V+7JuYXrmxz+YUhfQNZpf0yXMooK/HxjNuVVROmLzDFKTzOgSlSXi2qr3dTlmdDIiyDtUCzKCx3OVbFiMpr+eZlLk55OzHNak/j4jPdyooLEmPscc7+t1Bw7Kjkptt9PvW1gAcedEjS6ENbAdf28IxilzDy6XR8OqFPJwxop/dh5BPG9tZuBfT1Cq69fIqeWgLYpsRJAnsORjy+p8OeAx3mzF8fTU5xreMNHK43R056XE9qwT1PsXPnLuaOLNqjRGtHv/vAyqHewzQCTb3WwXMjPDfi1nscbrilBx0EoGoI5eEpQSBtxShXFnJobKClBVOxQ2K0teLGOscuP7/DB3/vOKuWJcydnfCDBx3+6cv1NFa1W2Iq0ZQSx8it9zTPpSkBvcrDp4G7wrOr8mFlfnUdr26V5aQGumthWZ04JadO1wQoZ9xnvLw6CWaiLmlgVq6Tp1Y4te5F9k82GUSV3qT0ZNqlScHnv+vz6S8HHBpV/M7/7uWDbzvOi87t2KuykcSJQxR5hJFLnFiaYs9XERLtqJjESSfQlOFVF7f5t5um+MadTVqez6GWJEo0B46HrKCXkQXLdpxxxhl79u/bw8i8BScF+FOKtlJKgvirTyydf/T1S5bN5XjrIH29o/Q2JqnXWrSTiH/8Ug9TcQ2cGsrxaDiCfscw4Gr6PEOPp+n1NX2ept/TDLiahiMQUkEikInmhee2+ODvHWPFwgjT0szuTXjJJR0WjiQ2kn5GKFV108wtP81y02WtS8CGLqCL6c+7/3N5MuRzrgvyM9XaOyHWyxRjhomRAznfthwy2x2bIrosdiEt5j2WdBXEpEFZ5Yq1WSx33jMw24/syDuwa7/iP272OTSmIBBs2+3xlvf1c9NdPkLZK3KSKDqRR6vjM9UOmGr7thRgx77W7ni0Q58w9OlEHmHk4yuXN1w1Qd2dJO50ONiCfW2NqE2yeOVS7nsifP1fX3fLE1I+tc/BeaoNFi1awOTUBPVaY9/Dd/bfevs9T1w0MvgEsxe1QbT41E0+t97fS+LUUcq3rlRHU1MGz8mKyVstX2CVpCC2lqbVEswd7HDBWWO86zfGWL4gwUTWqihluGRTh01rQ3Z/20ktXhlxZd5dst6Ude5SZa3842YGIJsZqEkV/FX4loDdtbp8NuhKCdnFfeWLp3syy9KhLvnUikwYUUokMCWqU1JQKBaWmeJhWVI2EdL/nn753Q943HKPb7mKlBgp2LbL4S3vl7zr9cc4f5WmP5C0Oz4TUz5R7OT7liWdO0rjJknaNS5dQynN89e2uPaFx/j0N106LY/+voT/cuUgr7569a1zFr5gX7vTohbUf3iAAzTqTe6+667Hls7v/9DgxZsvisP9HB0f54bvefz5dUOMTjRRgU/ThT7X0HAMvpMCXBkclXaxS4ETa3t6hhdP8uZrRrnq3CkG+xyilpsGaSXQSZg7nPDaF7e5636fPaNO6XpTvlyWFpeiiDspl4CoRhBOV0dORFdExSJ3w3cG5eSZoNt0f0HVfmeKYHkB2Z3qNqPyUgnGKgVyicJCi+w1U3yG0kKTEtjziWVsRtKThxWf+XqNA4ddW3tG2A51Rkke2RPwO++v87LzJnj9zzgEqsbRsYA4a10oUnA7NpgrdrJSgNk6ytDb0PzPX5/E9ySfu8XFxAEqOIfJztCHfvCDex7buHHzKR3eUwI4wJIli5BO/50LZh294T/vWvLK93845Kt31jky6SNqATVH0udomq6h5hYA9xxwlMB1QClw0rSu2QOCyy8Iefn5DnWvl8mpUqttE6MUqCjm+WtDFs5K2HO4fOK7F5eiBGRTAfdMwK1QFyhfBKqjm6Z00ZynHKeS0TPTC92Lxxm2NSXLXbQ8q75eoTLTAF9eQJ54kZkvKsu/WMHug4rvPeClK3qnlCboYYTi8KTk89/rI9ExV25qAg5ZW3ZXpSVHHI3naDxX5vQpA7iUtpTF//z1KTat3M/2gxcwd/7yGxYsXHTnwSPjpwrbUwf4wOBsTPjYE/Sc/ZbbH9qiHt3T+Zlm8yhj2s7cXsfQ8Ax1zxC4hsABzwXPEXiOwHXBdSSeKwh8xXC/ZG7fAAcPuTRqLQLfLlpdI8CxEpIxCYk2mJiqplZBpUWbZIZuDCUw5uCfxrFL1fLEiQFflg0p35e9l3DCifKUwM5ezJhAlx5Yde1k91mNkekLUm1Mfj0oe0SLeJWUi6tqmlvhLCqFAFDw/ez3CBekSo1MXhbPRyiPmpL0uYZ+X3D4kM/9jzkM9TnUfJu47rsW1K6jiV2dF3PVaYVbKTWuEzHZdjhyzOHc5fM4Z13/F5l93lse2LF31+Y18599gAMIbxn/+f07d119+fMfeN7K8Z8ZPfoQf/SxWRxt1Wm6moZrQR544LkC37H3niPxPIHnSmq+rbUy0GPoRC7HJgLEDLmaUiaYRDLUNKxbFXHvTp8wtyRlBBbyYGWBmd9Pj/WeZolneq+0bDyZHT4hqE8yTkH+nvFDBYirseMz8XDrPSSvPWLIAG2nSq6gpO55pnFxpll5TBrKGsJ9D7mMjmeLK5VacBdPSXpdQ7+vGaobAsdwbNxKfs26pO4LQk+kQLdVqeJE216sqVIjpabudzg2YXjHP9Q5a+lZ/MbPX/JAu3XHrrPWnf+0DtvTAjjA+tVzqfUseO9n9z6wRHlDr5FC03QMTc/QDAw1DwJPpMC2974n8VyJ7ynqgaRRg5pvs+y1FkSJIk4UceLYjsTGSkZxIujpSzh/Y8gN34bD7S6AI3PrbZPUCgs9LcabrriTGejGjFZ6RrWk2P4px9NA/owKirGSWmWDLkufA7iciW5MvqjMwd8lGxaBWzBNdUm1b+t5Lg6EkIaxjuCOLR4TxyQ0MivuIIQkkCav1ivT89vuaCadGHBItCRKbL+nOBbEsSZKIElEzsOlMDRqHnFiWDBvgBdeOPgZ1dj4Xh0/+XTh+vQBXu9dyIc/9fnjLb301xa7g/M9r/WChtL01U2ptJu05W5da7V9V+K5isAX1AOoB5rAs2XfBNayZF17bTyEyOUuBDhOaZGXo7KLf1cWlCb3XM4YJZh/TVldqYJ8JuBPmwhPH8MnBfeJwF6EgJnSe10L0lz3pqR8lPttdgO4WysveT5zFYUKVSlkSFtpqkhosAdQClFpfW6MFRQ6kcbpZEGHCmNU3t8ySSSxFiSJSe+tZOk5McrrxQ1mfffFL579a09u/9TUujW/+NwDHODNv3ANd225ayrRvxyumv8FwolRGjVJ4FqO7TrZTeKmAPc9Qc23lrvm2wJCjpOkuZul81S6FAsBUUuwc7eiFZcC5EsHNQOyEqYSGlspvI+hO+67i+FUjXXXotI+PoEOOBO6ny2tsES8y/Qkc++WQWdEQVkqNCX/qgLsmYJSKRBEEZeSlZuoOn2KWoCBgjMWxjh1Q5ydKKZPfNuZzxBGttyfEvZqYKNvle1/6QpiDVEs6ESCTijpRJKptmB4qC/69WtfuvX+rWJq/dqrntEhfMbR+YsXruCMhcvv+MVXnNtaOLdGf1PR1+PQU3eoB4rAz26SwE/B7RlqvrXevqdxnazoZpmDZ2AzKMew97Dkq7cGTLREKW+sGjlYjfsugqi6u6NV4lK6i1Cm2Om21hWwnWw8W6A+yahQmJJ57/Z2ZvylrIvPpJLoGR6TPdZZ9dpsMVuE1PbU4CUv6DBvOIFcAEijDkkL/2hbpCdKIIwhjDTtUNMOE9ode2t1oNWBqbZgoiUYm5QcHZccOe5w6FgvbXHhI8cPj/6W5z4jOww8QwsOMGuolzBsvfPKF11ktu/Y+btHDuwMmnU3vfTYFChXCTwXfA8CLy0Bl6+ik7QqVlKpgJWluFmUGRwXpCOoBlQVt0rsSXlx2QXgyj1UqEk3TclMdwX8lSGeW8s90yg5b6ZZ9txiUwRZiS56kdMPM7MV15Zi5GpKdpRMGgduMm3cZsfrBKLIQAZpY8siR1m7vxTcUQxhmh1fVFRILTk2ZiXR9jwm2qATg+smnL1+cXvD5iu+6Ho109tTe8aH7YfIrwLPq+lv3PTddy07Y85fnrtxTnjm/JBGTeAoiausNJiBu+ZrAt/ge4m9pY1mXcd2SFNpInNeok0kSMfwyJMOR8YUeYX0GXIuVcb7csXEVHXxbksuzTS60o3Rbo79TLJ0npNRDqbq2tO8LBrk+rd9vWicWmjenMSiU3SIMNm6SBbbasFQj2blwtimo5kETIwxhtAIQp3eEujEgk4MncjQCQ2d0FryTpgQRglRrNNSbDDVStixt03HDIVuMPsvH3vk++/q7anpp3N4usczt/3pWHNmFM4ZHn7P3fcfD+/adfjPdBxLra185CibthT4xoLcSwh8e8tAnllxx0n7yafFNR2VMDlluP6mGtv3O0XBwC6A52XAKJdA7uLizKyeIDjhonKm8WwnFz/t0e2yNzNvkwVIiUoZCSjyNLO4E1JvZpaBL9NFp5xWKctyc2kDqGLJ0rm2UOf3Hw5oJQ6IBERMpF1aSdYxOm1KJQRZUnoxLC1VUtr8XgkIw+qlrh6YNfhne0b73/fEgePhD3vIfigLDrB2889y18NRy62vuGHFqg1mdGqK/aMRwhhcB/zUeteChFoQU/NjAi/G92I8N8Z17M1RaTkKFSNFghvEbNnh8L27A5IojSsvZ/EgukqxZcqJqTp7uq23MNNVkfIPehpBUqd/iBzk0613WRHJrLi0IDYzW/GsyaxOczgzq13l6rb3puPA8zd3OHtJBzoJmAhMhE5std/JRNJOBJ1Y0I6gHQlaIbRCQzu01jyMDHFs48znDEb0NsZZt26juej8NTesXapbv/nr1/7QR+iHtuAA565byNDI7Efv3RK8ed+h+O/v+8H90nOLRWXdT6gHMYEf47tJDm4bbhvjulEK8gglI1wnBDSP7qqx/6hbOBNK2fRSpBnzFAvMagtu8q4IogvwJ0xPO5HOfaqIN09j2x92lLXw0ms2aSF15uRaOPlzDeQvprEhQmQlQLISbsa2IxQCoW13OCOt9bZW3HZOHhlIWLYo5LatsS0QnpbKixPBBCotQ6FtMc00V1Rrm8ys0//rKEtXQHD5JRfo5uCyNx8NNz4aeLuflcP0rAB8eN5avnfHI+Hzzr3gYw89vKt+9urZ74/ah6gFkkYtoVmPqAUxgRvjedZie26M59g+8q4T4TgW2K4Kcd2Er3/f5/2f7OHQmJNGanWVY5NZWlqJg3enpGXAlmULXnUEYc99VapkBpyWFnUzbtTtS38ugH6C76z8u1QHF9kEMCKtO5V6LWVKYbTESJ3XLhTa8nNbjNMWzpSl+HGtJVKkXZOFJI4Uwz0Jv/fLE+w76vCN7zeAjg3sByI8xlDERhIbQ6J13m8+0diyFGgcBYluMzQ4j4l2z9uev+GCj3XGH0mC3lXPyiH7oSlKNp5/3krGju1PXnX1ldsvf+H544MDDQIvZKivzVBfi75mi2ajTT3oUA86BH4H328TlG9BB+nFfO0Oj//2gX7ue8zHnIB7Z5w7b/8nZ+iWVuLkoisOJcPLiaz3NPB2m8oZHp4QfacwyurOjPsw0we6/kfu6Czx7CIRIosJLxadlm6IPFQ1ox86oyZpDuV0idFSHR0r1i+N+Ku3HufFF0wikxDCDkQtiKaIow4TseZoJBiNJEc7gqMtyWhLcnhCcmQcJlox9UYv6zZeOH7uhVduf3LvgWcN3PAsWfBs1Go1duye+uLwvE2/tXaj/sDU4S8PDjYP01NP8DxDHAuE1DgywXEiAi9EqQhDTKgTHn1CsWNvwB9/pJf7H/dtrS6R58ST5WGKjJ6IropVmTWX1deqBeO7aEkFNKLy3qkO8xTPu1+YUWfnKbY5yQcy+a+sCOXlJlK5EGOLKxlIK1ZlFt2W6cilUSOK9icis9wprcgpikwz8iVJW7LuzJC/+p3j/PHfa3bs8XhiX0SUOMSJTyJ82p5LmDhMSVtBlsT2euqZiujrH+Cql14+etkl5741Die/qINnLgme6Dg+6yMOj6GU96tP7vzqe7/y7S/PMtEeLt4QMadPoRQp/w45Mqm5ZYti526Ho5MO132txvFJyfhkGkCOTEMxvfwmpMJTUJcGX4KvDG4a+5B3KE6Nvu3GMF0mzCMMZwC9zEBO2fpnVwNBd3c1kdIl27XBtieUqtThOP2cKr1WdEwu9lNJ8k502X4rVdCuasc3Xa0SIIuQA5UXPC0cZ+XW6hnnzj5XtEYvOkln946TpMbIdrRzSmKAoyKUilAyRogE5RrGJyXHJyTXfb3G0QnFjt0e393S4NBEAI7NkneUZsnABOetnWTW0FxWrbn60M+95NJ3dMLoE3Nn9T7rWHxWLXj+pV4/23ZPfEIFL5X7Jib+4uOf++asb9wzwV+/cYz5syJGJyLu+IHDjTc3uPH2JgcO+vbsuKnjwCk3a5TTkOmUbnlL7eyEZQBMT2zWEeBkicfZ6HakZJd6MYPJzaiAECch3Fn6+ElG9W0z7fXialLuw1Z9r/gtRTKEoIhX0antFiZ1tiBAp3maCtBpbUGRNa3CdjnTWTNZk8aWyIr6QhbCZiRJBA1f0PAl7/ylDkYa9h2a4ku3T/KF79T5/sNNjow16Z9l+OPXjXL+Sk0SbDy0+uzn/SG0PiHE4HMBxecG4AArFjbZ+fBnP/bzl/nJ4ztW/bXu7BnshIbbHjjKR27s47v397D7QA1cD3rT3TAxxB2IrYqSd/cyqZMHkReyz+tHp9y70vRIliyh7LLWXeDJwJCvD1O8dsOyUlpNMM2bmG1kRCbLPTW4s9GdH5q/XnpQzc7LVpEzfZn9Y0hjvrPpkYE7vc8iHkjSQ5tGZibYzsiWnliqomXhvs/qG2bHRGDPAULSCT2i2CNJHASG/kbMr7405IrNY3zvgRZ/9wXBroNDTByfy+jUgtEt2+a+/dtbvvNPv/Vrr3iuYFg0oXouxgf+9rOsP+fV9y1f2Lv7inP1FbsPPOn/0cd7+fpdsxkLm4ggwPd9mp4icBQGBUlMb72F1AlxnF3Ls4wRhSctNfekdSZk1ESpjKJkwJ/eWKosG84UIZiBpywjUrGS1S7H2bY5rRFFo6ni9XJjqvSxKNbN3eXkKo+zbWTXe9nnZFnrN9X9nWGRnMV0FzHl02dHMfmrcfTlVuxZK0elElwnpp0YJqcESnpMtRtMteuEkU8UOcSJQ2/DYcNSWLMk5J5tHolZO770jKW/deZc/vWaV77qGYXHn+p4zix4Nl5+cah7aj2fOXS8L966d8U/79o7Fiyc5bF30nqxhnwY8DWOhKMduOCCCX77mkPc/bDkrz7Zy5OjKrUw5WL2JRCLLkArUwF2N6DLY8bMGZF69ijoyUw5jycdM2nUM4wZpUgBdCdB5/c5NOnuQkEJ3N27Uo4Tz7ZP0y/zMFllLD0U6ZdlnR+kzIKurHqiTWHBHTdhzzF7nu582OdNVyecv6KHiakajpPQCDoIOYXWir0HexjpCbnmhSPtQ2ODv3H7g/2fM2b8h3LDn8p4Ti04wF//zee58pqLzOq1ycMPPDz7wYWDPa9YMzLqzBkaZ88hwXBNMdKrmdMvWHuG4nVXdjhvVcTmlR18L+auhwNaoQ+ui5KSmjT4aTFST6ZhmJn1LiU4K1Us3FTWwq9kUXModHGCzFLnb3fJiFUrnjVGKllsrDJRvF5tI1i24NMs97TXTG6lK+2/s4mb0rOqtS0mR3e6WaUkRCkuPMN+Xha6K6+1WNBmtUwSfD9mfCrhPZ9s8g83zmHnoWGOHG3S4/cSxTWSROG6Bs+b4hv3+Nx6zzC1xrr27Nlzf2m03f784jnHkre+8Vefa/g99wAH+KdPfIXVa/6LGW8venjJfPXIhuVcNTW1z33occVIj8O8Qcm8WR6rFjuMDEqUgr7ekMko4tt31hidrIPn4UlBLVNOUiC7aTFSRxmctJNg1tvcyZQLVfS8rFpyMd0qi+JkV+lJlZZUKUoXmDO6Ik8N4LKbhsjp9yIHuKkCvqICVUtilKMJc3DrEp8uTYJKXHyJBhUdOyg6WAuN78ccOJ5w3Zd62bZniDlDHsO+A9oF4WFQNtDOn+Lr33eZCNdOLV644HVXvfyyz8XHJvUrr/6VHwX0nnuKko1f/IXX8NWv/Lu58qX/67OtvW9wtu5d/PfzBo72jfQLZg+6zBpw6G/awpBxrGxduyTCtiNxkELgi6LHvCr37pRl/m1rfjqqkPTyBWR6QrUuLRjzxNpiG0HafjoL7MwUlXLirQFEVvuveLH6nOoXP8WYUeHJJ1mpYVaJxtgu0SYv0V2hLlQjAxNdTR4WWqCEse21jQRVaOkZPZFaWjVFa+sE0pJEpxWqjJ24KEmgBFJoxiZiDo5KjFEoGWDoZ978uce37Jr9m1dfc/tn/+0zite+5tU/Ktj96AAO8JKXvYojj3+At39k+afXLhlxf+kVnfdNHds21G5N0t9r6GnYKEPX0XQ6mq2PuRyc8MF18KXAl8bq3KKoQZjpwxlNcR2RP7Yqiu3zkodfaENMWtzWFJ69MnCLrtUW5JU63KJcRIdKYkG5OA6U3qckK9K1AOzizaLrgUidNd0WukwbyiHC+f8WIGyhdYyxCQhxklnw9LtTEDuyVGATaa23Nsgk611pHT5JopDCEAtN2HEZaIasWh5y00MJYezSjmG8pamNxzYMln6Wrtx85Orlzu+9ZaXzad/b+CMFN/yIAQ4wdOZbAZiYGLtOSsfZ8/h33vOtm/9zVtM7zvxZLQI/JPBipjoJd2xtMjbRQ61P0eNYx06lS7FMPZc5B7c3V4FSIu3SXKgiJs0lNBgSbe91CvKs4pJIwZFRg6x2X9mK6zTyMwN5leZk9bqzZ8xovbsXvpkT5kRgLuJpCjWjUFsM3c6crPlrVus7SWxamAW5/T+WOhm0EmiTTmepEUnqkMoiC3UqFWpBnFhWO9mGoYGYC8/q8G9fb9OJfMbbNkVNiYjeviEWr3reobVnX/gHYRRdJ1T/jxpqwGkAeDaazV467YmPL1p2sThn0v+LiYM3zjpw7Biz+2q0I8MtD3hs2T1As8djwLMLymwBVE5Byx07KS1xlbXijhI4TsrBSwCPYo0xEEYm7Xtug3/IwIX9PiMpVIesawKl7Jis8qsoF7acrlic0hDT6Uk5vS5vwcj0xA3rzMp4eaGuKDJKYp/Hic13DGORJspnHlKBdkxaFFMjReqaV6U0NshjU7Sx/VKj2EEdF6yeN8Flmyf41r09tuZNs01bDfKiF15y6KKLn/+HGPPxwcH+0wWz0wdwAD9oksSTH9uwcXP8+PbW+z9/3XcHzls6zvHWFP/4pQEOHelhUb/GVxY8YSwIdcqhS4syy8FtipzrCFxX4ClwUqBLZcNrs+9IkgStNZ3IPi/q5aXZ4Cm4s8a9InWwCpVa7jT8U1aCmajSEYpkg5ON7kSLiiXPsiG7rHqhf5tp7vbseRZJKIWiEyrCWDLZloRR5mC1VM5Vtpa356QSpNBIKXESg1Y6l0qzLsNJrAhjB2Ngqu0xZ1Dyqy9rs+vgFHPrPVz7kmFk/+VHzzln8+/HYfzP/f3N0wmx0wtwAOU0mGx1/qU++PzRefMmli5fOfGXX7r5q+6Bgz2snw++0kgpiBJ48hiMthUN18pV2cFX0paWcB1wXYGfFhtyXJvZ76gU6CKt+CQkj+yFiXaREJEFaTlSkDbbsMGLOX2Zzr2ziZEvXjOwZhae1KN5ApBXnCpUXe45qLtCfYt+pBl1SZ0vKoslMXk8iRCGRk3gOQmP73U4fFyngVY2NsZVELsCV2cLbZk6cqyxMOlVS0qN69pY/vGpGsfGasSJpTdHxxrM7T/CuSsmGBm5KFq3Qr199aZztgtZ+7IQ/umG1+kHOECj5utw/OEv/v5/fam3a8eWqQULzYcvXb9NDDZacuc+m+M5e0DxisVH+Mxthvt3DKQnIFNRRFr/UOA75VosEs+TuGkZOd811Hw4a2kHvznKP93Uh8Sjx0lLzSlTKAyUAJfpyLoAW87DK5TFVHMh8194KiAvNhGZ9Z4GapPKdyklETq33lmlVkdpmwboxvhuhJRtvnhHg3sf8OirKWp+Uc7DcyReIkhcyDpcSWll2ljrtJQaOCqhWWvxwM6QG26ps2ROwJxBcJyY7U/CGfMW6ldcvtIk3vL/ekxu+Kdb7tgbXnrhytMNK7vvp3sHsuH1rGLL/VvDem3+v8wa5uaffVny6ge27flfj+05yMhQg9VnCp6/wTBvzmFe95d1OkkA2Mt1trC0hYZsJa3AU/iewHeztDmoBwl9zZhFc6ZYu/wo9zzW4dYH5hI3XfrQaZxJunjTaT5hnuNYVksyq511L8teK1LFgGlx2kBVW89eElUrXaUk0xvVFvJgyYJLmx1jgR3jeyGDvZPc/lDIJ782hGdg8XBMT0NS9zW+J4ndVPIzMt0PgZISRxkSV+ZXLlcluG6LD32hwSOP17lkVQLGZc5wSN/wEKPxwv9+6ZJVnw16RnZH4a5wZP5ZpxtO+fixATjAxnVnAbTuuvPftm0+Z+Q9Oz/W9M4/e/idKt6v5g6NUw8i+us2gzuTumTq0PEcievY8nCBrwg8W2Wr5hsCT1MPDM1aTF+zg+fGzB4Q/MoVx7jtoSaTYR+OkCihcRJIUpBn6koB8qyWX6qVl94rc/LuFn8FwruseBfYC6vd3fLQVBw/5TDYbHGZ1dt2lcZ1Ymp+B22muO4bPewYDVjcKzg+ZUs86MSqHUmSdVFTYFTO7x0l0rWKDXAT0qBUxPEpxURbsudQyFC/x9Ila5JlI/1//tZ/7n9Prflk8vpfesHphtC08WMF8Gycc+5r+f/++QvJb/3GL/7poUOjzq7tt76N1nd8z59EiA5GG5JUr3Yl+C54nkiLDClqaRWtwE9zQgNNPUho1iLqQYTjxrgKls5L6K+1ODRZp+X4tuWKBCd3/liGnWvgJUueChF5Z+Hsca6bzxi4UoQqdjt0plnoNPS3wrUrFr2Iiy3c+trWdnSsBZ9ox+zY6xElkk4Ckx2Bk6aU6a6ybva7lC2/piR+ZIgTSWKsA8eRGpN0SIgwwTBrN5zTuezKi/66r3/oT39wxw1sOO+1pxs2M44fS4ADvP51VzM+PkGz2XrnYP/FcsfOuRfedd+/yEOjRy50RewkJkZJge8JAk8W4PYFtSArEaeppxn9jSCiFkQEfoSrEgyG1YsTrn7eJB/9ch+R7xGlpYXzE166LyiKteKZupLdJMX7ULXgRR3B6Ra8HLU4PaqwsM5Slng4M3yNKNQUJRPqfshnvu2x7QkXgHYiaEUCp2N/kNVndEXHt4t2ZRegjqTuS3QigJjxKc0LNvTEG1b33P4rr3qlXrxg+e1Hxsw7JybGaTZn7hP/4zB+bAEO0NOTS0x/+I6/+v8xXN7jisl/fN3VO3/u5jv3SyU0jcChFkjqgUO9JqkH2DIVufVOqPsR9VpEPQjxPZvBL4Sh7huGmxHEMdpoEqOmxaWU7zM3f5bRm2vWWQ0RMQM9gUJGLH1dEa7bxbFLvDrj1kqa3IoXi9Fsp0R1YSyMrS3jJRwed2i1FQhoJYKpWKDySiPZTuqcYmlN6slVtl6J49DbELRjn11Hn6ff9ssLrx+eE7whbt877g6ec7rhcUrjxxrg5fHe//ZzxBM7xlWj/ttbH9z1GOKutf1q6pWjB3dS810aNUlPzdCoWc6d1T+s+xGNWkSj3qHmR3hOhFIxGeQCXyPcxFrmUjipyrykouy6p3DNZyFZwsqDiSHPQq9WdE23NWLabxIVi13ElGR8uwhDMDkvh8Kbav+/QOliMonUioeRZiqU6NTD1dZwPJJE2tgWMiZFswBjNIkRJEk5CUnQascMz16B30xu6Gte+sBjx1Z8cMexyfHzz553uuFwyuMnBuAATnMJwOEnn9z9J//jLa9dvHfPo2zbNvLKbY9sw1fj9DehWQfftRqw52hqQUxPo81A7wSe20kzxW0DVN9XnLO+w5KRDtsPGoxnrWAWY565/jNZUKdOJk2WbGRK0YFZiYVs8WlKyord/4qSIrosuShRjTz/0oLbUTrPu9RGoJPUq6jtJFNSkqS/S2Dwfc2u/YK77/NpRS4EkljDmNZMhAnjoWSOkSmdsV7aVmgIvMSWVAuh2Rhk6cqNDM1fdsPsJSvfWp+YfGJkpO90Q+DpY+Z078AzGQsWLCRsH3liaO2q3/e82r+cuWTZW8aObLu4M7aVnmA/x1surVYd37MJzrMHx/jBjg5f+J7HG14eMdzrE0YC33dZPq/Nkvltth9MACeXHb20O4WbBhRHsSFMIExSbVhmnj/rGDGmrKqULbmpgLwbzHmgFGWJ0FpsJwW351p9GwNhLAljhzCy0p6bqjquq0stQBK275Fs31MD4aOUQgGzB1r8ziv284Vbm9z32CANT9Iw4DmGyTBh737D8oW9rN+4mvM2rbklCGofnDOy6L7j49ETC+b95Fjt8viJBDiAFwwBPGaMeQx44LGHOiPNxpn/sOfJe5d9+7at6oxZ1j0/f3bMg7sT3nf9MAcONnnx2S08GRP4HeSUZsFQxCWbWtx0fwzGt/mdaQvEmg++a8Nuj0/A8ZagHQt8R+M7Ire2tlpT1leyGpRVUSnSkcWUVGLBs/6okMt1SmpcR+O7cV6oNIwcxqZcxiZdpLR0TEjwXduKT0pbDu2Wu30eO9xEBR69DvR6mhWzPC5aOcCy2RO8+9PjHDvax8IBw1AvXLhUk/ibk7Wr1j4mid54/vnn7wO2iVPMK/1xHT+xAM9GegK2xZ0j27ROrjzeUvNf+3MXX3/Pvbf2PrJvX2PB7CN8Z0vA6OEezllSo932CKPjkMaKNGoRy+fFzOkLmWrXbcFQB2qeoBlI6jVFT10x0B8x6Uxw/04PP3QZDKxr31VpGTIKUdEWkjdpZjqYtFxZrhKWgF2JAhTl32WQyuA6CYEf0dNoI+QUT+x02f5kQLut6Gkaemp2ovmuItYSKeHwcdi2r46mzpBve+b4jqFHOdz94CzWL3d54YYJ/uN7Ieeua7JowcjkJZdePjY6Fl47PLxkj6PUEz/pwM7GTzzA8x/iDxHH5omVK2ftnpoaP0sKcUFPoP/xyX2PNB8/+Gj/wqFRViwWzBkc4/aHEhYM9XDmyCTjUzEXrh7jvBVtvnWP9Yj6LtQCQaOm6Gs6DPUrViwK+c3Fo3zwC/Cpb43gSofAMWhnup6dqS0CSBLLo43OxDmRZ+Y4KkupS6W/Ulx51qvGdTT1IKIejPNv3zH87b/PYvVsybL5EYmxnYmUss6tKFI4UnPXNodbt/ZTD1z6PcOyOZqhoRbbd7ts2+UwZ7iPV71wYHzDug2jK5aud/qb5vVDs878zzOX9B4H9E8LuOFZLN324zAcRyCE0JPjU0fnz533NTlx/xkbNr3ibe962xu3XvOy8+5dvWxwy6GW1755y1wOH3U4cEyz5bEexsb7MBocqQkcQ80T1P3UejcU/T0a3zP01nyuuXCSuQMTjEe22DulWBgb0GULTEaJIYwNUQJxYnJ9PVNOHAWOY3DTm5Q2fDeKBVEs8hBepTSBH3L4eMgXb28wPlknijRjkzHjk5qJKcFkW9JqO4SRY4toSoem77Npcchgb5u+OrzqoiarVvht/KEtPcMXbl214U1//q+f+9jSer1vxfCsRV9rT3WOCiF+qsANP0UWvDxmz50LoMenEqSUH/f9zidcR7HgjHnK8ZZ+2K0FKwZqj77ga9+XKm65vPR8RdQex5cJ9UDRSKlJo6aoByZvmDXRcrh4XcySkSm+N9pva2YLWyY6SNskxrGxC9LYpCG6BikkrrLmWaQc33UMvmsbAkgBYSRphzYhwdcaL+3+K4XBcyIe32/47n09LBi0BSzbHcNUO7EBZY6k5ikm2y6dUGGMYW6fwysukDgNxf7RpcmchUu/e/Wg3nb0WOvNQqpEOXX+9cPXmcHhRVOn+3w9l+OnEuDZ6KnnOdXZMi82yegb1qzzB/Yf2Pjur971LW+ob2/iNeqbVixPNo+OtWh6LQLfoR5I+hqGRo20j5BVRsLYZaARgUkw2Mi7wJM06w7NukLrhPt2aKZa0AgMdWN5tudqdBrv4aR10+uBLSvdCGImWoKd++okWtDTkDiOoVnPSjfEHJsSoFybZ6mtY2ayZYVrJR3A5rOODA/S27eAVcuG7q7XuOfyFwyr5pyXhlrO+aPFpn100byfPKnvhxk/1QCfaQg1CHAU+E2AHY9+Edfh4otDecXqpZ1ra05npU5CDu7bTk9Ph937OywdSfDUJErEaO3zsxe3+PZ9IbEOcJWgHkgGeh1mDwrmDbeZ0GPcdHedgTS9SwqD6xoa2i5MbdiuBfdAT4dmY4x7tkvueMhhZFAxK3bwXUnUYy34ZCfm+lsbSOESRgmjEyEDTcXSBZqxqRqOW+PMZSvo6/UJhpxHFgzL6y+7rPl1V5lbVm960ek+5Kd1/F8H8O6xZPnPANxyZHT0FuBWnSRLR0eP6pu+vl8Pzp59pj8w+w9m1Z5kwaJJOq09HD3e5uKzWly07gB33b8AR0oaNcmsfsPyhRMsnDPBsjPGOTxl2PpQH75jCCObNNDbsH3ae+oJQ322iGU9CLlzW4ePfLkPOiETUwJjfOqBw+wBget0+MYdEd++fRDfi5g93M+SxXNYNcfwkkvm8sC2g++ZGOs8vmnzBbK3r196nrMd+Nr69f2n+9D+WIz/6wGejaHBQYCvZc/37TuE63r9hw/vv33siGRg1ng00dr4u0omLx7oHeeNr9HsPbKd3t4Ws4d9Fo7EDA+22fq4w5KRGnP6Q7aaiJHBhHpzkq07emnWwHU0s/rH2LqzTW/QS+3MhMf2CUzks3GFYP9RxUTboRN5JEZSa8zizNUv4R1vHmKwR+I64huPHWi/f+kc7S5YvJ7zLph3S6fTOdbT99wUr/xJH/8P4CcYIyOzAI4BNwIcGz1As8bDjgznKD/SS5eEDAwcIvBj6oFHo25QajLy+l75LlkfffmKpVOR59Y5e6lg8YIxvnm3TyBqnLUaHH+cI5Ggd6CJ1xOyekWLa91B9/w1zS/9+Udvfpem6Rpse2fluqxdcx7D83rpcY2sBeoAhscXLBg53YfoJ2L8dGlCp3ncdtudGMScgeDxvnsenzKHD/msPVOxfPEEN/9AMDXe4Nw1hrHOBLfc67JiXo11SyMeP9xm174BcfHZ849rYw5s3HTe6f4pPzXj/wCG/dvDsxnLOgAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxOToyODowNiswMDowMHERAggAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTk6Mjg6MDYrMDA6MDAATLq0AAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 61047421
{'hecke_orbit_code': 67553994477667429, 'n': 1, 'trace_an': 8}
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id: 61047422
{'hecke_orbit_code': 67553994477667429, 'n': 2, 'trace_an': 7}
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id: 61047423
{'hecke_orbit_code': 67553994477667429, 'n': 3, 'trace_an': 0}
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id: 61047424
{'hecke_orbit_code': 67553994477667429, 'n': 4, 'trace_an': 41}
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id: 61047425
{'hecke_orbit_code': 67553994477667429, 'n': 5, 'trace_an': 0}
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id: 61047426
{'hecke_orbit_code': 67553994477667429, 'n': 6, 'trace_an': 0}
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id: 61047427
{'hecke_orbit_code': 67553994477667429, 'n': 7, 'trace_an': -19}
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id: 61047428
{'hecke_orbit_code': 67553994477667429, 'n': 8, 'trace_an': 99}
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id: 61047429
{'hecke_orbit_code': 67553994477667429, 'n': 9, 'trace_an': 0}
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id: 61047430
{'hecke_orbit_code': 67553994477667429, 'n': 10, 'trace_an': 0}
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id: 61047431
{'hecke_orbit_code': 67553994477667429, 'n': 11, 'trace_an': -27}
-
id: 61047432
{'hecke_orbit_code': 67553994477667429, 'n': 12, 'trace_an': 0}
-
id: 61047433
{'hecke_orbit_code': 67553994477667429, 'n': 13, 'trace_an': 13}
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id: 61047434
{'hecke_orbit_code': 67553994477667429, 'n': 14, 'trace_an': -119}
-
id: 61047435
{'hecke_orbit_code': 67553994477667429, 'n': 15, 'trace_an': 0}
-
id: 61047436
{'hecke_orbit_code': 67553994477667429, 'n': 16, 'trace_an': 305}
-
id: 61047437
{'hecke_orbit_code': 67553994477667429, 'n': 17, 'trace_an': 223}
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id: 61047438
{'hecke_orbit_code': 67553994477667429, 'n': 18, 'trace_an': 0}
-
id: 61047439
{'hecke_orbit_code': 67553994477667429, 'n': 19, 'trace_an': 304}
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