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{'Nk2': 16020, 'analytic_conductor': 31.980086009522793, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, 1], [89, -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': [4005, 1, [3116, 802, 181], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 17, 'field_disc': 2111123926621975763498954496433127424, 'field_disc_factorization': [[2, 16], [3, 3], [11, 2], [821, 1], [522127, 1], [1156429, 1], [1860559, 1], [10690621, 1]], 'field_poly': [24, -231, 99, 3184, -3066, -7119, 7299, 6279, -7002, -2456, 3371, 320, -849, 45, 105, -15, -5, 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, [-24, -231, -99, 3184, 3066, -7119, -7299, 6279, 7002, -2456, -3371, 320, 849, 45, -105, -15, 5, 1]], [7, [-2654208, -4003776, 4643712, 7875408, -3089632, -5627911, 1317270, 1955568, -427474, -355798, 88986, 32862, -10266, -1219, 580, -8, -12, 1]], [11, [-18210816, 69894144, -12189696, -90317824, 19357824, 44484096, -7185504, -10775536, 1255896, 1434080, -119712, -109444, 6384, 4744, -178, -108, 2, 1]]], 'hecke_orbit': 23, 'hecke_orbit_code': 99079191835709349, 'hecke_ring_generator_nbound': 13, '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': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4005.2.a.w', 'level': 4005, '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': [3, 5, 89], 'level_radical': 1335, 'minimal_twist': '4005.2.a.w', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}-q^{5}+(1+\\beta _{8}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 17, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4005.2.a', 'trace_display': [-5, 0, -17, 12], 'trace_hash': 1201305010923879797, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.242', 'prec': 17}, {'__RealLiteral__': 0, 'data': '13.024', 'prec': 20}, {'__RealLiteral__': 0, 'data': '12.236', 'prec': 20}, {'__RealLiteral__': 0, 'data': '519.558', 'prec': 24}, {'__RealLiteral__': 0, 'data': '1396.540', 'prec': 27}, {'__RealLiteral__': 0, 'data': '36605.402', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, 'traces': [17, -5, 0, 21, -17, 0, 12, -15, 0, 5, -2, 0, 8, -4, 0, 33, -10, 0, 32, -21, 0, 8, -15, 0, 17, 15, 0, 24, -1, 0, 18, -25, 0, 14, -12, 0, 12, -22, 0, 15, 7, 0, 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-0.12985511497022778], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 10, 'dual_embedding_m': 10, 'embedding_index': 10, 'embedding_m': 10, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.15984659842267496, 'hecke_orbit': 23, 'hecke_orbit_code': 99079191835709349, 'label': '4005.2.a.w.1.10', 'level': 4005, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [13, 17, 17, 13, 23, 21, 21, 23], 'Nk2': 16020, 'analytic_conductor': 31.980086009522793, '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': [4005, 1, [3116, 802, 181], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 533, 'dim': 148, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33558437, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 6, 7, 8, 9, 10, 10, 10, 12, 12, 17, 17], 'label': '4005.2.a', 'level': 4005, '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': [3, 5, 89], 'level_radical': 1335, 'mf_dim': 548, 'mf_new_dim': 148, 'num_forms': 24, 'plus_dim': 68, 'prim_orbit_index': 1, 'relative_dim': 148, 'sturm_bound': 1080, 'trace_bound': 5, 'trace_display': [-4, 0, 0, 0], 'traces': 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-16, -96, 0, -32, 16, 0, 336, 496, 0, -104, -424, 0, 0, 256, 0, 292, 72, 0, -72, -464, 0, -268, 8, 0, -88, -224, 0, -12, 40, 0, 96, -68, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48433023
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 17, 'source_embedding_index': 10, 'source_hecke_orbit_code': 99079191835709349, 'source_is_minimal': True, 'source_label': '4005.2.a.w.1.10', 'source_level': 4005, 'target_conrey_index': 1, 'target_dim': 17, 'target_embedding_index': 10, 'target_hecke_orbit_code': 99079191835709349, 'target_is_minimal': True, 'target_label': '4005.2.a.w.1.10', 'target_level': 4005, 'twist_class_label': '4005.2.a.w.1.10', 'twist_class_level': 4005, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48433024
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 17, 'source_embedding_index': 10, 'source_hecke_orbit_code': 99079191835709349, 'source_is_minimal': True, 'source_label': '4005.2.a.w.1.10', 'source_level': 4005, 'target_conrey_index': 1, 'target_dim': 17, 'target_embedding_index': 8, 'target_hecke_orbit_code': 103582791463079845, 'target_is_minimal': True, 'target_label': '4005.2.a.x.1.8', 'target_level': 4005, 'twist_class_label': '4005.2.a.w.1.10', 'twist_class_level': 4005, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3469550
{'charpoly_factorization': [[[-24, -231, -99, 3184, 3066, -7119, -7299, 6279, 7002, -2456, -3371, 320, 849, 45, -105, -15, 5, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 2}
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id: 3469551
{'charpoly_factorization': [[[0, 1], 17]], 'hecke_orbit_code': 99079191835709349, 'p': 3}
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id: 3469552
{'charpoly_factorization': [[[1, 1], 17]], 'hecke_orbit_code': 99079191835709349, 'p': 5}
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id: 3469553
{'charpoly_factorization': [[[-2654208, -4003776, 4643712, 7875408, -3089632, -5627911, 1317270, 1955568, -427474, -355798, 88986, 32862, -10266, -1219, 580, -8, -12, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 7}
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id: 3469554
{'charpoly_factorization': [[[-18210816, 69894144, -12189696, -90317824, 19357824, 44484096, -7185504, -10775536, 1255896, 1434080, -119712, -109444, 6384, 4744, -178, -108, 2, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 11}
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id: 3469555
{'charpoly_factorization': [[[-71951312, -97412164, 128556064, 151839996, -101030492, -75870801, 42807144, 14474786, -9147576, -841538, 902622, -16674, -43152, 3199, 966, -102, -8, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 13}
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id: 3469556
{'charpoly_factorization': [[[5355936, -94609296, 368094960, 452905096, -82109134, -224464341, -29589328, 39713014, 10667886, -2855258, -1180192, 59672, 58152, 2043, -1288, -100, 10, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 17}
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id: 3469557
{'charpoly_factorization': [[[-4195328, -383744, 122287232, 45886080, -448480992, 354767680, -9072480, -82470928, 23793096, 4435424, -2829704, 178364, 103104, -19336, -112, 326, -32, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 19}
-
id: 3469558
{'charpoly_factorization': [[[-49152, -1449984, 5044224, 9459712, -10218688, -19323232, 958304, 10394616, 2074632, -1936616, -569504, 124456, 46044, -2054, -1440, -42, 15, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 23}
-
id: 3469559
{'charpoly_factorization': [[[5191403856, -7964856144, -9248142648, 5255035520, 5274003397, -655153031, -1180958002, -102388450, 94052930, 15734060, -3433646, -781740, 60893, 18555, -474, -216, 1, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 29}
-
id: 3469560
{'charpoly_factorization': [[[41579008, 49672192, -273964928, -138542400, 579812000, -103278240, -214365568, 83999024, 15204504, -11455928, 480696, 562904, -76980, -9052, 2246, -28, -18, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 31}
-
id: 3469561
{'charpoly_factorization': [[[4930682024, -18329650996, 8520195944, 15930529196, -11902932622, -2312282213, 2815862976, 73525974, -261315512, 6310162, 11843924, -572934, -275364, 17663, 3062, -232, -12, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 37}
-
id: 3469562
{'charpoly_factorization': [[[-52072656, 1069161552, -6215330520, 8189203360, -1864491877, -2209401889, 1042239484, 139033842, -134163678, 4703988, 6966698, -653852, -168029, 20335, 1840, -248, -7, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 41}
-
id: 3469563
{'charpoly_factorization': [[[34255008128, -26194530496, -27537055392, 18635647440, 8428311974, -4944027251, -1126902380, 658206106, 61808886, -47109682, -241632, 1774024, -102146, -30299, 3360, 110, -28, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 43}
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id: 3469564
{'charpoly_factorization': [[[-192, -414384, -1105632, 3843400, 11255676, -6149211, -26914298, -664522, 18044272, -519394, -4192016, 535322, 201060, -12859, -3886, 8, 26, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 47}
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id: 3469565
{'charpoly_factorization': [[[-97868430528, 116954330928, 46323171264, -86949280456, 12324223452, 12729117507, -2886790108, -880380834, 228113406, 36310366, -9238724, -991632, 207368, 18179, -2458, -202, 12, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 53}
-
id: 3469566
{'charpoly_factorization': [[[-1190469383604, -1854573704244, 808664016060, 1037990637756, -319274868069, -147125431325, 41546549564, 9036172008, -2461239654, -264290570, 75309288, 3162618, -1210843, 1597, 9208, -270, -23, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 59}
-
id: 3469567
{'charpoly_factorization': [[[290308096, 7050776576, -12917957632, -7633794304, 19286765696, -2837809280, -3824881408, 1064736432, 205890376, -93316208, 159088, 3068644, -249120, -34216, 5028, 6, -26, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 61}
-
id: 3469568
{'charpoly_factorization': [[[-469614592, 65413120, 2000680960, 57172992, -2569171776, -514774432, 967782784, 305291880, -92761992, -32863320, 4595260, 1443964, -155676, -27910, 3366, 156, -31, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 67}
-
id: 3469569
{'charpoly_factorization': [[[-2580234829824, -9773465456640, -7231064782848, 1675031751680, 2541681297408, 295302069952, -195615135072, -38751093632, 5137002952, 1362260056, -55323296, -21480544, 207444, 170388, 226, -662, -2, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 71}
-
id: 3469570
{'charpoly_factorization': [[[-41984050383872, 17585525842432, 16740541011456, -13107194664320, 2310372980160, 508653096928, -229956071360, 13211693784, 5803352264, -939580960, -28332792, 16231716, -743168, -99766, 9774, 48, -33, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 73}
-
id: 3469571
{'charpoly_factorization': [[[1099147233686272, -459490391302656, -206257417829408, 105121159886960, 7801243826443, -7479221115125, 139713425548, 243719181574, -14949975008, -3979839872, 364405310, 30506894, -3962971, -66253, 19256, -278, -33, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 79}
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id: 3469572
{'charpoly_factorization': [[[2390031586308096, -2588669415512064, -890695676525568, 324484586822656, 103976399881920, -10518115349344, -4635939126272, 23229526024, 90566741720, 3034696408, -889477856, -46957716, 4629468, 297610, -12244, -880, 13, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 83}
-
id: 3469573
{'charpoly_factorization': [[[-1, 1], 17]], 'hecke_orbit_code': 99079191835709349, 'p': 89}
-
id: 3469574
{'charpoly_factorization': [[[903930927182848, -2640499211331072, 2494434047964160, -996552372477056, 133147624860480, 23190093587424, -9150212322528, 624035113160, 106943873008, -17237774728, 14835184, 133342984, -6031236, -353614, 30660, -56, -45, 1], 1]], 'hecke_orbit_code': 99079191835709349, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 23, 'label': '4005.2.a.w', 'level': 4005, 'portrait': 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4Q1rJ82rJtKWeoGdIeCUeKxPBBsmjIsdgwnzitqns+mWdi2PmLj3IgNcyGb5kK2bbTs2KS4crtHXTU5eqLNV5/2efRgwpPHY1LV41tf1uG2Wy11NcfB49McPaM5fSHlXAbu5xYsN109zy++Y5nt66Y4c2GaC8s1Fjua5a6k00vpDQz9EJ47vsCBk50rH9139uVHTp3bdez0+c/f8trbontv/8jzDYm/1u3vNIOvdLqMwhStxK/c88ihW3/uv/2Z/J5XnLj1X37nGX1ucQuLK1MsdWosdXyWOprFLix1UpY6MYudlHPLcHhRsH79Cv/xBxa5+bIGJ8/PcuZCkzMLmvOLlnMLCafmUy70EqZnR7z02j4vvgJ8WSdQAeeXapxd0JxbEgxCSBJDzTc0aykzUwkGOH4uoduHnRs9mvUQawUIn/7QsGNTyOKKBuukyEofwgQslqVOxNYNHr2hQiiLMCHtmseOzSNWBoLjZzSp0cy1Ja2aIPAgSQSDUHJuSXJ20XJ+OSEIRuAl3HJVn1uvFqxv11lcbnPyfMCZBTi/kHB+KeH0EhxetLzwqgV+6QeW2TTd5sS5Wc4t1plf9lnoSJZWUpa7MSu9lOWeZaEHJ7uCpYUVfuNfjZIf+hZ9n2j/lFH1a++Twvx8YjzqjdbzDZWL3v7OMvgff+AjvPjmG/iZn/nXv/xXn7jz//MHf/6lS5863tv13JmhvPXqIXu2GJLUAQcrsQj3HIlAIIRFC0sg4cxSjQcOKa7ds8QV20c0auBpie8pfF/TrEsanmTQ9zhwrMYdj/ocvxDSTWIOnAzZOLfEW166zLWX9njhFR2OLSQsDASNYMSRM5ZOt8k1l0hWRin7jilaDc0zx+GyLZZRlDJKfbSOmWnB/pMBSqd4MkF7MAwlN18xYDiQXHtpSneYcvxMi92bFM1GxEpo2TA9YLnf5S/uhMePpjx5dMTOLYtct7fLzGzEm2/p8Z2vsOzZ1CKNpzl6eorDpzxOnjOcuhBz6kLK4QuCEysxL7h8nv/4Az02Tk9z8tws5xfrzK/4LHYky52UTi9mpZ/SGViW+nCur1jsJdx0xSLv/PZ5GUi569SpM7uXO+ZFjfauerM9/cWH7v0Ev/+eP3u+IbPm7e8kg//pn32Y3Ts3q6f3Hf13p86c/zdPPnNMnboQca6vODWwXLPjAr/+kxe4fk+Dc4szLK00WOrWWOp4LHU1yz1Y7qQsdxOWegkLHTi5LND1ES+5eonvfkXE7g1NVvptLizVmV/yWegIljpOIiz3DN2hoRtaBqOEuXbMjo0GEASe5dQFDyEDdm5Q7N5i2bJhwPnlkCcOtbjxMkujvszTz83SakZEkcfcjGE4git3jPjAndPs3Z4QhpZ1U5I4HdKqBTxzbETda3L95QlPHok4v+izdS5g92bYsSlCqZhTC+B7FiEsOzcmzLQkvWFAf+DRHXgsdRVLK7DYMSx1UhY6Kec6sDhK2bG1z3e/coGXXKGpeW3OLrRZWK6xsKJZ7ApWOoaVXsxyL2Wln4G7pzi3knDz3nO86ycXuWxLi4WVNheWGiz1pqm1Lklb7Y2/XJ/Z+Uth71x66yu+/fmGzqrb3ymAHzhwkFq9Vj9z+tSORx57+u3Hjp/5T4ePniZKJL2hZWkgONdXnO4m3HjJef7rTy5y3SV1LizPsLjcYLlXY6nrsdzVLHeh0zOs9BKWewlLXcv5juBM34Loc9vLOrz5ZsMlm2tEUYPlTo2Vvk+np1juC3oDwSi0RIklTUFJS+BBPbBMty0bZmO0N+Lw2YinngswSZM3vihCeys8sm+KXZvhsw8mvOyagAudITWtSNKY2RlIYg/tJSwuNnjpDV0+e3+L3Zvh4UMhHg3ecLMhEUOeOpxy9FQNLX02zmhmmoJ6IPB9gRKQGIhiyyiC3sCy0jf0BoaVgWGxbxmmKTu3DXjzizvcdmsEpsXiyhQXluos5mTQgZVeSqefsJKBe3kAZ7qK+W7KCy8/z7t+8gJX76xzYWmGpW6T5W5Ap6fp9gWt6a3UWxv/7cYtV/7ltm1bT4xGo+Fll13+fEOpuP2dAfjJ44fYsGGdf+Dg4R8+ePC533no4cfF4nJfhrFlODL0RobuEJYHggsDxZlezM2XXuBdP7bIDZfWWFiZZmGlyUo3YKXns9zTrPQEnZ6l009Z6SV0+oblvuVCT3C2Y5iZHvC6F/a45YqEnRsV7bpHt1cj8CSgiBKJMQJjYTAChGGmNeLQaYuxEbc/3CQc1Ll0q89Lrh0QmxXufnSa6y/zOHSuT2e5zYuvHfDFRwI2zlr2Hbf81Fu77DsWsHFWcsejipdcqVgadDlycpbrL4+4+6khSdjglqt89mwfMUz6fOERBang8ClNu6HRAgZDF1SnxhIngDRo39DpW5qtmO2bQ269csDrbkyYa9Y4vzTF4kqd5a47NstdQacPnV5Cp5/QyWXJQHKuJ1joJbxo7zz/6cfmuW53jfnlaVZ6DTq9gE7fpzdQ9EeK4QhiWzOX7LnW7ty95527d+/5o8XF+ejKK/Y+35AC/o4APE0TGYWDtzz6wGcv7fbTX3vwoUe8wQhGkWUYpgxHKYORoT+ydIfQGTqQn+4k3HLlBX7lx+a5cY/PSneK+eUWnX6NlZ7PSl/T6Sk6A+j1Ld1BQref0h8aOgPLfF8w34c4DbnusiGbZlP6A8ubXhyya5MhSSVaWqIY7nqixokLNTbPJDx9uAamwRXbFDfsNQS1AY8cGjC/0OTqXU3a08vc/6THTZfVWByssLzcZtMmy4P7FN/36j4P7dNs2+Cx0O+wvDTLDVcOuP/plNn6NFdf2udCp8ODz05T101euNdy+Y4RyD5PHBVsmI05Px9z9xMeo1ghJaTGsmtzxOteHNHrK7bMGG64DKKowVKnwVInYKXv0R0oOn1Jtw/dQUq3n9IbpHQHhpWBZWkoOd0VdIYhL7l8nl/60WVeeJm7OFa6DbqDgO7AozfQ9IeK/kgyGEFvkNIbJLzg+hfGxqqfefvb/sFzzUb9U77vmecbW897JnM4HDAcDX/g2KFHf/3s6UOzF+aXadQkQrhAEQCb3w1Yi8AiRIqUmocObeTn/0Dz1luX+J5XL7F7a8S5xTaBX6ce+DQCj2Zd06tLWkOPqaZmMErpD1M2hoZhaOmNApbma5w6aYkSw+lzCUFgAYGvLFoKBkOFwCMZaF6wS7Bni2XH1gFh2uNzDyn2PzfD628MuOHKZd7/OYsvGuzaOuDJ+xVbpxXr2gNqqk4Ue1zoQbOm2bZR8Pj+iBsur/OK6xd436eH+F6L177I4gUDvvRgxGcfaPLs0TqXbGmwa3PK+pmI3etirtmVopRBK3dwGkHA+umAKPboDXyePuS58oQMiP0h9EeW/sB9994wpT+0dIeWlSHMDxTnly2NqQ4//cZ5vv0lIdftbnJ2oU2nX6PbD+gNPfrDHNyC4cg1aIQxJCl85b4HvanpuV/ffv9DSy+/9eZ/ORgM3tdoNJ5XfD2vAB+NBoD40SMHHvyVZ5+8c3bY7+BpTS1QOGgLcqNHCPdSCIsUFiktWqb4UvLUc+t57FCTQ2cu8NZb+9x61YjpVpulToNmt0Z76NMfaHrZyR6ONINQMwoto8gQxZY4tiSpu0eJjzUglcDTgpovmG4JZlqwaZ1h28YB62Y6fP4RuOcxD2mmeP2NHi+4ose9z8ZEozYveYGgMxxyYbHJLZcb1k0PqOuAUaKY78YoI3jB5ZpGK+TRAzVefsMUL76ux6MHFNgpbrzK50e+dYkvPh5xx0NN9p2osWO9YtNsnZlWg6kW1APwtEVJMBb2HRWkqSBOBFECYYz7jmHKMDSMQsNgZBiEhv4QuiHM9yUXehCaEa+5fom33NrhH77WkCRtzi026fZr9Aa+A/dI0R8qBhlzD0PLMDSEUUoUu+N48tQ5/urjn59NkvT/fcNrX64H/cF7Gs3nD+TPG8Cj0SJSJT9y6si9v3L68F0bFD2aDUUUW4QwmdUnAYEQKmN0UNIgpUEq0MqilaHmCRYGdT545za+9FiXl12zwjtes8I1u/vMTTdYXGnQGwYMhl4GbOXukSCMJXEiSBK31Nts0VDSojXUfGjUDbOtmK0bBiT0OXQ65i/urnHkZJPpoM5NV2luubbLgwc73P7VNi+6rMaOzQM+cKdAiYB2K2alH2IsKAHr2wO6PR+T1HnLyy7wwc822HO+xptfNCCKF7n7qTnitMbNV23gzTd1uWx7hy89OuDJkw2eOOqzbVYy2xY0AoHvuYtQZhe/sWCMJU6yizW2hLG7kEcRDCPojQTLoWCpB0KPuH7vCu943Qovuyplrl1nudug06vTGwT0h24lKIEtGYYwyC6cUWgYRSlhZIkSSK3i9LkVPvCh2zes9O2vvOWNL7Pnzq/84aaN0/9nAPytP/17vOnFAf/2Nz/2g99xa+fX1gcH1rWCEVrUiGIHWiltBmqDIJcrEiU1SqZIKbLl2eApS6AtdS1YHikWOzN86K4mDzzd5yXXrfCO165w/Z4Oc2mdJAkYjGr0hx7DUBPFijiRJKkkNQJjBQK3QgS+oVFLCPwI3ws5vRjy6Yclz53yOXpqBmUC9mz2uXK34sYruqhgnqcOt9g63eDqS2DT+mWWum2u2SpJjOXzDwWEA8l0M+ENN4/41N0xJ8612Hupx9mVEc8c8di+cYbrds9z75M97n9GEEY+V+ye5YrtAVds63H47BLPnYaH9jc4dKRJQwsCLWkGlpoHUro1z1p3sSYpRAlEqaAfCrojQTeGyCQYO+KFl3V5x+u6vOyalM2zAaPRFIudGr1+QH/kMxjqLJBUDELBYCQZhY65R1HqAB4ZwshdQGEMUWKJYsnZ5Q6/+cdf3rDUP/JrP/nWUXLy0O+9f9vmc4jWv/v7C/DRhV+ltmET0z975h92lvf/5tKlz0zvubxONDVFfwijyEOHGiUVSoISEilBSYFSAq0USuXgTvG0wPcMvmcJPEvDT5muCXqhx3J3ho/c0+bOJ0ZsnBnw9ld2uGL7iNGwz9W7Lds3KcLYI00VqZHYHNzS4OmU4+ctR88JVoaGT9zb4PTCDDbymKkptsxpdm7SXLIVrt7TxcgF3v2pJktLU7zoCs3Vezp86QmBSDw2zEiajYRB7COzpJTSPp2R4PyS4Crb4JU39rjv0Tpb1vm86OpZ/tG3LvBHn+3x0IEm/ZHH4kqL3Vvq7N084ObLe3zHy3ucWVriE/cGLA4Cjp/1OH3ax1MCKV2iy1hLaiA2ljQxzMzFXHvVgDCMuWJ7yNteGbJhSjHbCojjGmfnawyGPoPQYzDSDEPFYKQYhpJhKBiGglGIWwnClDAyGbhNtkI4uzJMBMMIOpHHyfMdPvGFL6173Qtqv7lzx6UxzT//s3/y73+X//kf//HfP4Bb+yvAzcIO7/6uD33y9B88se9g4+YrE3ylaNZHCGFR0joJojyUskipkNKipHRlo0qg80ct8HSKrwW+NtQ8Sz22NCLLVC1lpi4YRJJe1OToqSbv+rNZMAkiSbjx2gG7N0UkCRhrsNYlcaQQSCXQns+BEz77nqvRrGlavmRdQ7B+TrJhVrNlvWLn5pS9O1dIxSK/9dE2x09M86LLPa7YlTJMenz1qYDpusfclGW6FdGoOylkjKQzUiz1LYudlE6/zkuvXuHhfQP2n1BMt2vcfNU0P/aWRX77Y/Doc036Q8tKT3N+qc2mdQ02zIzYOTfiX33XgHajw5NH4cBJiedZlHISD6z7n4UkgV2bUl5yTUIae8RJgLUNRpHHuQWfYehWtFGkCvk2jASjUDCKnCRxLO2And9HkS3AHcYwigXDGHqRYDESjEzKQ8/CBz51ZNpvNP7gocM/nTzV+Z4PveWn6vZTv/1Df38A/p9//w958Q9frt71Y/fdtqV98v37Dx2sHT8XcORczPV7BrRSWQSOShmUsmilnQ6WymltbfGUxNMiY25F6EnCyBBEKWFsqceGMDZEkaWdQBgbwgSiRDCKJWEaEKc19j/X5In9kFqLg7bTxp4EX7maj1YAV2+Gdh2mmpKZlmJuWrNhFnZsCtm8foXYLvFbH53i8JEpbrhEcck2yZ5ty3z5mYTzi1PcuFsy0zbU/CGBDLBKkKQSYS1JGrHcr3F+0eOGK+q84PIe9z5aY+OMoFFrccPlhp++bZHf/JjhmdMtVvqGlZ5iflmzbrrJTLvOTHuKdiNmfTNm5w0RgZfg6QSlUmTmQFncRRXHigvzmjhRxIkiihVhnD1GkjCWhJFkFEnCSDjARoIwshlLG6LsMYxKXe+AnYE7EvRiwUos6IQpRAMu3zXk0u2Wpw4/25Cm8f5/8Zr3mX/2o1Mf3f+Tv5Ve+YJ/+s0P8F/6bx+kljTUq/Yeftvvf7j/vmMnlmv3P7UTGyUsdDx+6cc7XLmthxIGIQ1aOm1d3jWeVniRwtMWL5L4WhDGgtAThL4iih3Q49gSJalzRZLKPYUktaSpITU4vW0owO2CV9ASPA8CLagFgkYgaTYUUw3JzJRgw2zCzk0DWs0VPnpfxN1PzbKy0ObaHYqdmz0u2z4iFSt8/qEGTU+zfkbRaox46jCu4367ZRAqrrss5to9lnNnU+aXfYajBm+8qcdXnhxy6LSiWZcEfptrLjH80g8uctczQz511zoWu5adG1KWO5rptmKq6dFqeDTrllpgCHxDoNMsjnHlvOBY3BiBMYLESJJUkCSCOJFEiSCOJWHsnJcoFkSxJYogjHN3pCSOMLEFwMMYwoy1h7GgG0s6CfRHCSIecMPuJX7hh5f49pdHhKHmzocfrm3aHP/Jyf1X/NBUY9uHT+5/f7r9ih/85gb4pikjh+HS95w+ceZ3b39gvtaPt6PqKYkX88n7fKJQ87ZXdXnbq3vMtlN6KkGpAK1StPJdIOkpPE/jR4pQS8fcsSTyBVHswO4CRohi6RyEpLT9ktSQps5dSG3mlGRuiRCi0PlaC3wtCHxJLZA064J2wzLdMmycDVk/0yOxK3zoK5I/+uwcG2o1rt0h2LHZY9cWw87Ny3z0q5alpRpXbFLMtKHViDl/THJhOcDf7QCxfkoyPQ2HjlqWu4ZzCzUu21Xj1Tf2+PQ9NeZaEPg+Sk5zzR7Bj7/5Ap68wCfvneHZ0zU2dmM2TCdMNRWtuqJRl9QDTeBD4IHW1oFcgBQVkOMu7NRAmgqSlAzoEKfOBYnj1JFCZvvFiSFKDFFMBmpbWJBhLBgmgn4G7l5sCEcxU0GHt79xke96ZZ/X32jpdNpEccDNV3p0eqdrSwvr/iBiRlsaf47jmW9OgH/sY58kNeYH73vw6f969uTx9q45xUpoWIkUPaUIpebzD3t89ZkaZ5cX+anb+sy0Y2qByzhqneJpDy/28HWK72kCTzlwxy6V7hhHOCbKWClJIE4hTZ2TYIwLuIyxeQ9nBm4HcBfACjztAFILoFEztOoJ062E9dND1s2scN/+iD+5vc6Bo9PsmvLYswm2bfLZthH27ugySLo8uK9NXXmsn1FMt2C6FTIzleD7GiHcxTUMfZa6MSsDS6efcGHZZ8emFi++4gK3PzTgwOk2jSDGUz5CTLFnq+L7X7vAC/de4E9ub/Hg09Ms9jUb2gnTjYRGTVKvKQJPEHgSz3OxilJk9qFDucX1sBpDAfQkNdnqllmLiSFJDVFiSXJXJFsJwxzYiXDBZCzoJYJuAsNhgklGzNW7vPM7F/n/fm+fRhCw0qszCgOi2Gcw8ukPAxZXzrZT3fyt6XVX+fd8+bN/9PJXvfmbD+ArKx2klD/6Fx/62K+cOHl6rhY4uwxAC0MgBV2p6asmnZHmv/6lz77Dy7zl5X1eeX2PjetCer06wzAgjDxCzyOINZHv7L0c4HEsiRK37MZJ5mmnZNYfGXNLjKUEt0tSZswNWrmEie9Zar6hXkto1RJm2iGb13U53xnwO5/w+PzDsywtN7l0vWDHBsHWDT7bNgh2bxmh/RU+eLfmyMkml2+UzLQkU80UKUNOz1sCLZECrBVEsWbnhi4PkdIdKJa7lvNLdS7fVuM7Xtnhw1/yOXY+wNMxQngY2yROJDfuXmbn93b5/KMDPvD5WR451mTrjGBdM6VZS6n5gsAT+J6LVbTCBc5SFDUZFneRGYtzWlIH+BzkSeoknQN7yexRnjxKBMMU+rGkl8AwMiSDiG3rurzixmW+7WUD3vhCgxZNlpZrhHF2/iKf4chjMPKJEo+V5dNzzakdv3brK96ihoPue+qN9jcPwJeXO3ja+0df+OLdv/Lwo89sSFOLVq7U1GQgk8JpXl8KeqJGN/L44JcD7nqyxw1XdPne17gquLnpgOEoYBD6xLFHlHhEsS4CpSRRxKkkSSRxKkgSSZoKUiNKrW1Eke3HOuaWApRyroOnDL5nCPyUepDQqoesm+4zjId86SnLX3x5igefnmbG97hmq2XzrGTjnM+W9ZJtGyMu2brMk8eGfOIr65lSmvVTgnZT0G7EdAYpn/1qjZZvEcIBaxhq3vKSkM884GpiOn3DhWXNtg0t3nprnwf399h3yKcZJCgpHMhNg1HktP73v7rD5Zsv8MG7utz/7DQnlutsagumapaGb6hpg++BVgIl3YXsmBzy8iOTSTVjyhUuyYDuCALiVBCnGbBTwSgRDBJBP8XFPFFEsz7gu1+/xPe8tsuNl6dsnPEYjJp0egFh7BNFngN4rBlFHmGsSI1AScv5089uOPjs+l+54upbzaDffW+j+Y0H+TcU4EtLKyx3+hjLD3z+jnv+y6c++8W5lZUOQiiUtHhakFoLwhaBnSctgRT0lKLvNTnVDTjzQIMHnurz4Wt7vO3VQ97wkhFz0z5RGBAmHlHsEcde4QgkqSJJs4RNWgLctbGBNWVNmSj+tsncGYPvpQR+TD2IaNWHpAz54qOSP7tzmqePTiHigF0zls3TlnXTivWzPpvWSbasj9mxqcvJ+R6/96kmSVhn2zbBdEvTbkK7ESO8iO6wyXTLIoTAWogTyWygSExCL/bpDVKWu4rT83WuuqTFT/yDFX7tzwOOzzfRKs4uDE2S1BhFkk1zATde2uXaS/o8c/w0f/HlOrc/Ms2ZTp1moGj50PQsvrZ4CrR06XwhxqvrDK68x1gXeKcWklQ4/zwVRKlLEg1Tx9rD1JLECSaOmKsNeONrVnj7a3q87JqEqbomSposdZwciWLPgTtRRJEmjDVhpIhjiTEueTcaLLPvyS9v0Ir/csllNyWdpVN/7AVt6o1v3PzEbyjAB4Mhs9PNb/vKfQ/99qc+e0e70+mitcIYUAo862wrgSuYUhmLexJ8CTUl6CufQaK5ENb45ANN7n56wM139Pmn39njyh1dNkwr2g3tDmLikSS6AHmaA9xIjJVY6ySBLQJKkCK3IQ1aJwR+gqciusOY+W7Mf/9ojaMXZnh03zTW+MzVBRvWWdZNCebairlpj41zkk1zCVvXD5ibXubzjxkeeXaaa7cJZlqSVkPSbhia9QjhhQSBRiv3962FNJUMQ81wFJMYQW9o6PUtS12Pc4ttbtnb58VXrfDBO2rUlxRaxg6QVpOkPlHsejzXTdd44Z4+L7y0z0OvOMPxecmf3D7NhZUGpxYDfCVpegI/l2HSBZ4FkedSBcfkiRUkBmIjCFMYJRAZC2kCSYxUIVtmhly7052Pm640tOuKJGnS6fmEsU8ca0dAiSaKNWHiLMrClkwkSeIcHYSi1+vy5KNfnrPo39596Q3LYTj8xDcSk98wgB88dIitWzep9/3xn1/6zLMH24N+l3rNgduIkj1cJaDIEjgWnQq0tHjS4qeCuhIMtWDgBYwSj8Wowe2PTHHfs0OaQcgPvanD9rmEnVuG3HJ1Dy1ci5gQTq64rKSrlba2wtxYhLQo4TxzSwIy4Zmjkof3az79YItnTrSIkgYtrVhft8w2LTMN63zwtmZ2SjM3Ldg0m7Bl/ZDN65e5++mQd396A5unNevb0G4q2k1Bq5FQD0LuO6gYRRqv6UBlrSBKJDWtuP7yIQ88Ne0Kn4YpK12PhZWA8wsz/MSbz3NqYZEHHl+PJwERY4AkcQAKI0l/qJlp1ZhuN3nx5QNece2A733VPPtPGj7zYI0H99c5eKRJIjRhqBjECiXy0odq4JnlBKwhMRZrDJ5ImfIjasS8+IY+uzeP2LYu5h1vCKn7imbNkUyn59g6SVRGOCpztDRRoooYqXjM4qV8pbBGs7jU5bFH7m2fO3f+0le//m3q2NHD6a7de/7uAHz//mdZv27Gf/iRh39YyfS/DvpLtJoe1mQHzlhkKjJ5kIFbOB2mUrd8ekrgpZYgtdRSQTMVjDSMUs0w1QzSGr1eyn/54Aw2idm4fsRVO0bMTSW87dVDdmyIiGOR6W0JFeYmu8CkNAgp+MhddZ483ERozfEzDU6fb1CrK6YCwXTT0q4Z2jVo1QVTDUW7pZhpaeamYd10wsa5EVs3dEntCh/5Spthv8ll2yzthqLVkLTqhlYtwfMiPv9AjXAg8TaAzMAUJ5JmXfHGm4fc85ihH0r6w5TuQLPS05xbbHDl7hZve1mXR59pcHyphZIGiDO97BGnzk0aRZL+SNPp+7TqDZr1kCu3jXjR3hEnL3Q4dnYF7aU8cUTz4S83EMoVrjE5f9AawJUjx1HKzo0Jb3/1kHXtlL07LRvnIE08wqhFkngs9zRJrInTMnnk4qHseSyJU5kF/rIwAOLMg08zgKdGkKYeZ84u05pJ/usTjz862Lpt5x8dPLAvunzvlX83AH7m9CmWFhcuP3nq1O889ugj0vdc9jGPzNM0L3F1wY6UOJCnAp04nRinFi9xGjA2lji1NFJBZCxRKoiMIEw9QuMRG5jvt/nykwZLyscfdCMbXL24O0mQmSXOC8yKtyRSKZJYI43G05JWALvXW5qeoREYGgE0AkGzLmnVnRyaaklm2jA3lbB+JmTL+h4py/z3v6px71Mb2DMHM42MvRuSVj2hUY9oNobU6w0CJVEy0+A4ORDHHqOhYBim9EJFf2ToDY1rmWv6nDo/xUuvCvnp7zrPr39Yc2IlQAiDtTEmtcSJRxRLRqFHf6hoDTXNmk+jXqMRNKgFMa16xI2XRfhezE2XJbzjNQO0SrIkkHH19lVRnkk6p5ElgacAn1GoWVzWrm4nzWOe7J7IIgZyFq0sn6d5pWbucomMvSExgjStaP7E8vDDD8s4kb/T6w2+Eoajp78R2PxfBvgXPvcJgsCrnzh++LbnnjskaoHGWEGSGqS0pPndZECXFpVmBVTSoqWL2LWyJCrzrg3ZQXB3954gMZbYuIMTGUliJanRxCYgzWyv6q3IUgrQQji9r6BWt9S0paZSAg8CDTXfUg8EdV/SqEsaNe0A3hRMtwyz7YS56ZANs322bFjk3Z82fOD2jWyfVqxrGdpNRauhaDagUU9p1WPOLhoOnw2o+a78FvJKP8Eo0uzeZNi0bkR35DMc2YzFJSs9Tateo9WY5h2vucCRs+f4g09sRUuNxZCa1B2LxAVuw8gVRQ1qksZIUw886kFKp+diDN9L8XSK56Vo6RolpHTpfJHdyeIjEBnIBR2TVVkaF9ekqcQYlVmw7rUDrCyD/EQ4VysVlbvLTRTSJM3PqygcmzR15QGPPvaE2HNp/7Zdu3Yd/quPfnT4Hbfd9vwCfN2M9Hu98z/XXTn/czYNZT2QxClIIUkynV0AXFpk9qikRSv3pXWa2VRplmUzNjsINnudvZen2bNKOefliiJQqmpuyFYLYTNL0qClu5A8lUkibZ1vrAW1QFLzJfVAUa8pWnVJq2GZaqZMtxJm2yHrZgbs2LjIgwdDPnjXFmZqARtbhnZDOHDXJc2aoVlLaDVCHjwAT+xvcOl6W9Sz52nzYai4aa/lsh1DHnp6mkFoGY5S+kOdgdyjUatTr03z3S9f4omDF3hg3yawCmNSVw6bWJLYFvUkw1DTGFnqNUXNNwS+R+CnBNpkSTNX/qCUcVuwSLeyIlzQn9NCGZy7EmKTO1Imt18rVmwGZvc8B3v+XGTn1EmTgrFTivPtwF0m5YajgTx56uy/Q9b9er3xy0D0vAE8HA1kFI3+w113/Nm/7HXO+DXfI05zt0KgUkEqrQN6DuzsMVUO9Dq12Rd2DG2y56mxZVrZ5pk356ObTIXkyZtK5n1sxc1T1XlCR8ksY6moFG257F/gK2qBoh4IGnVBq25pN1KmmgnTrZC5qSFb1i/zwIEh/+F9GzlxappL1hmmG9CuK5p1RbMGzVpKvRbjeyM6I4uSCk9ZpCw/WWpEtnz7tOsxg8QwyOqsB6OU3kDSqSsavYBa0GLXpphf+uEO//79kq/u24hFYawhTQ1JmmSpdMUoUgwDST1U1HxJ4FsCXxFog+c5v1+rsqDNxUK26JQao4cstW8zErFZLUuaA96UoHbEI8vzmAE+Z+byfcaJLCO2NCunSFJ30R45cspH1n/mn/z4D3j9/uDfNpuNv3U6/28N8HDUwdrolw/vv/ufLy+cqNUCSRTbTO86UKXSyQklHWALoCubBUu2/JLG4qV2DNim8GjBGuu6yLMS0OqdCYALUd6ldBLF1ZQ7u0xnrWielgS+GwBUC9xIhnpgadYMrUZKuxEz1YqYbQ/Zsn6FB/YP+Pd/tI4DJ2bZOescllZd0mxIx951S6OW0qjFxGnEn97RQiqFJ50lWjC4zZnO4/tfv8wXHonoRQGDDOD9oaLXV3QCTc0PCLw2e7cn/KcfWeQX/0hw/9MbMVaSGpdWjxNXaBZGhrDmyl2DQFDzBIHvMpu+tkXGViuDVC64z2OjAuBlyhPISASXS8jlVcHq1cK1DPCJAZOKQoLk2eRyJR4HdoGBvG4osRgkhw4dq33qs3f9i297y2vF0nL352dn/nZJoL81wM+fPQrWvPjY4cfqaRKhsrJWS8ngqQRlMqCnGdBtBuIczIritVE2c11cdi1vv3JAF66OIgd1fuAnPpegzFQKUWbycvbWOq87kXiedPUbvqAWuJknjSClWXfgbjcjpttD1k93eHD/gP/w3lmeOb6ObTOCuWZFmtQ0zZqrX6nXEupBhOeFnF6cwVMCJU1my5VBZppKkkSxecaSJDHduOY6ZULDcJTSG0nqA0XN9/C9Gp6e4optCf/pH83zC38IDzy7gdRIB/DUEidpxuSGMDDUIsnIV4UE8zzwdN7mJ10uIAv2pQCRPa6BcSdXyJJCCPeYnZNCKprsuRkHdVncla/A48AeI7oM5NbCKIy49/6H61fs3f1i+b+w48TfCuCPP/J54iRuPP7Q7X6/24Os88Z1eFecklQgTSYPVFnFZozASEuafVljLEbnYK7KEJsVSFXkSM7cF/lsUpRFVM6tEQW4lZRZo0QuT6DmQeAb6jVLPXD6uVGPaTcipptD1s10eOTQiF98zwxPHV/PlmnF+qZhqi5o1SSNmqJRF9Rr7uJwqf6IB/YJ+iOfmiK7yNzKljchpEYQJ5pmTXHL1T0efKbNIM4beVMGQ0UvUAS+wvf8TD9Pc+V2w6/+2AV+9vfh/n0biI0kNiZrli57MENfEvjGsbdX1tFrld/JZErlfGVZ3rVAnieFbA7w/HtkmeLqalsUc1kyyVkCuZCalffcf2OKldwlBiW9XpcPfeST/lu//c2ND3/0s4O33fY3L8r6GwP87OkTzK3bNv3wVz/2e1E4enmaOnaSwiKU87qlEZnWrl7F2ZKmqCxpYJQoAD3G2hVAmwLYZVMwmfYuToZwBUVCZuDOioxUAXBQWcWgp8H3wPcMNT8rsApS6pm8aNVDplpDZlpdHn8u5BffM8MTxzawaVqzvmGYqkOzJmjWFY26olGwd0otSGg1Rtz9hM9Kp8bMTJkmzwFjMu0ap4oNc4rXvKDP3Q8b10UTmQrIJTVPUvM0nvbRuo6Uhiu3W37lxy7ws79vuf/ABmKjibMKQFcc5Zg8iGVRXehridZZEZYUKJ0fG4rPl1+EuVQReVUaZUJo8m4qj8ZUHouV144BOj+35XtUwE7x3yDAmJThcPTyI0eO/eEPvuM7fvLYsWMru3bt+t8L8Pn58ywtL/7siRMnv2dlZZlaoNzSJh0ApQSZfVBVqXMov0yu48orvVzqRFEAVIL7IsydIT3PyBXaW+YVdKXuzisGtcLVZ2iL57nG4ppvqPkp9VpCoxbTrIW0GiNmpzo8ejDk535/HY8f2ciGaY8NjZSphs3AnbF3TVIPHPvXgoRGEJGYkF4UIJTEyxm80OAiOyZZgVjs0fRHrlwgqjGTg3yUMvAdgwe+xNMaT+cb0Fqu2WX5tZ88z7/+XcP9+zcSG02YCqLUZCwuqMWGwLP4nmvr01ncoZUrEXatgO44OZkiKiugO6rFhVmNdSbAXZBQhZhyoFZBPQZoW70A8poY93PVWv2lpSVOnjj2PY899sThKIp/4X8rg89fOM269Vt2fuKjf3zt8uI5PO10t6h0c0MJbFO5IougxFbAnneaVK7+8oCJClOUWUlbXTNz1q4GlUUiydW5qCyYci1vDti+tkX1YM1LM90cU6+FzLQHTDV7PLAv4effvY7Hjmxk/ZRmfT1lqmZpZeCu15ydmIO7HqTU/IR2M2LfMctdjzbxpcRTJgviSo8iX8rjVJEYzStvjLn0kj6HT9RZ3yBr4HVjGQajjIW1Qmsv61t13vXVO+FXf3yBX/h9w1eeWc8orhOmkiixNLI67sDDgVznq5cpelulSosVTklRAbiogJxVeqUEuR0HeGWlLc/76tfVVdpdGOPnP7852Ss5feYcDzz46LU//mM/vPPEyVPHd2zf9o0H+ML8OWr19q4Dzz70GyRL3+apPrUgqzmW5afKAVmAt4i+q1+s1Gy5nsur/gpmgHGXZJVbkjH3JLiFRarcFsz99oy1tcXXBs8zBJ4h8BNqfkItiGjUQmanBiz3BtzzNPzqn23iyefWsS4D93Td0qoLmjVReOXOeTGOvX0H8HoQEqUpo2GNmnIXmRSVpZ88W5h5yIl2Wl6HhJFlGIsKwA2+7xo9PE+6qQLSKwCOgOt2C371J5f5L3+ecP/+Oc502oyakunU0kostWziQODZzPvPnRRbsHcuVXKAF583+9BVnBcKMTsptjhXk2CnjJ9MWe9iJwCe/3yV3PK/JTIsXVjocerswrfdc+8D6c0vvO5fnDlz5tiWLVu+sQDvrRwnHNZetHRh322DlYPMtHWRKBCiGnGXJ9B90SrYqbyfJWlM+TOTUsROXNGTqjA/CW7cQ87eNpMnNqsadMyttcHTBr8oj3XgDvwM3LN95peH/MqfNvjEV9ez0J9h/ZRkfS0Dd83p7kYWWNYDSSOwGYM77V0LIiDizsd9lmOfuYCxemzE+AqVpq75oR1oXn3DgAcORPTigKm4nDXih65W3dcO4FpZlPQQ0mYIgCu2S379n3b5zANDfvm9Gzm1MMNwWjPtC1qJoZFAELvRy75yA428PNCUogiC88dqoF69MPPzXAC9cp6ogpRxsE/mLUyV1MZW77LEIq/bj7P6pYceO8TM3IbbgqDxp/3B8Ng3lMGTuIfSzcsunLzrn9nhI6yfTXFfowK83DfNmwsKlhYVwGcRdyFB7Bhz532Dhdau2IFV/i7GuEGRbs5dAJUDXFm0dMDWyoHb0ym+l+J7CTU/JvBjWvUhWg+4+4mUP/xsm0/fu4HItNnQFqyrOVniLMDcJ1fZXWTMXWXvGK1D7nt2mkGk2dzIP88kg+dBtiROFDVP8eIrhyTGAXwYC0a5GxK5kWuezi1OlQExm9HoLnXWTQu+51V9WsEZ3vvZIfc8O8e5uM6gJmknlqa2DuQ6i0OUzeISW5RNyGy1KWrHpdtOID/WkzsKVkGeB/05kB0WqkAfB/QY01elaXHBjP+dJJV89s6n2b3n8n/2Hd/y0sdWeoND062vPxLu6wLcJvvonv8o2p/eIsIDr2jXT+PrZlGaakxuHYmsgF5U9LPIvkyWHKi8Xq21xRh7k10ka6Uo86aFUprkWTlXMehsyawrP2NuT7lajMCL8f2YmhfRaIzw/QF/drvmXX+8gcPzs3hBjU0twWyQ0g4szQCaWYd9PXDZzlqWEHL1K2m2Ejh5stBN6Uc+vlL40hYBZv75LWV5QZ7ajhKPujdi0/SQlUGLYSyKeSO+Z/C8NLP5VGZ3qmz6VzVwdZWP3/ayPjddNc+v/smID3x+PUtJk0Hg0fQkbe1qcAINvqJohtB50idb+WQhVcoE0JgmnxDl40BfLTFXSZcJ98Wa/Lisjr9MZkXGqeLwhR4fu/vgK06s2C3zi51DDzx5lBdft/t/DeBhlFJb/5pdce/RdxPdz1QrZhQqoli7JgOTZ7VkmdItJIeoSBEx9noS1CYDsztIonoBV9eJkk1kPoizAvB8cNAYc6cZyBN87SRJ4IcE3pBj5xP+4DNNPvaVOY6cn6Hd8JitwUyQ0gpslnrPwS0zcMsiKVTLtHfguwun3Qz56H2aQ8fr1JRwGcPcQaFEeTHGwTodHieaK3bCt97U4w8/N0e/oWnHllFsCaIsblAGrWU22YsKyL0KG7lVYcc6yc9/34Brd5/i9z89y5FzUywldQaepqkEjQzoftZl5WUuU7H65cc1tw9x+rwE+ERafwLkhdRkEuDlkOAqyKsXvbHjsVliXGfRMBEsJYJP3fMUr3rRJe/+zu+86U3nFrpfV6p8TYBHYYzna/7k4w9sO31q357XXXGGK3a0WBESrbyik8aYcrafrYJ9DNCrQV+4I3mmrLosVQunKnUSQpTArk6alRm4nWuSs3eKpxPXuaMTgiDE1yG9NOJ3PuTz3s9s4vTiNEbVmZ1SzPqWKd/QyJi7UaTvZVankkmTzDsvwO277GUYRxw6FdCPAmaCzMXJk045A+ayy1ZqUmJNu6nZvS1CBSN6UYuhL6jHbgaJn8krL5MoOnc9hLpI8KpYPzXgJ75twG2vPMd7P9PlDz4yx8KwyVDXqGlFQwvqyhIk1rG5dFJFy7K8Ic9yTjI5rCFXJiRF1Rywa4B5zENn3DLOWTs1EBnXMtdLBIMwZvvsYa7ceM+e7bNm2/bNrz6WJDFae1zs9jUBfuD4BdbNNNe3W/UP/dc/PuSl31nnuj0DaoHIpIAreM/LKXOWNqaUJFgxxuxF2ncNcNvKOl4oE1EyhhA52HOrrMreWZWcSh3AdYpWKb4XU/MjfC+iM4q470nJn93e5iNfmWOUtvB9nzlfMO0bmr6lEVgafgnuWiAJAkmQSROXGMqciQzgvucyn0fPWu55pEEUewRNuyrAzG9latuRQRS7uS+vuanHB7/Y58CpJsNaPtzI4ifgxQYvMiglnW8tBTLLIJegqnjsRtIINBunh/zr7x5w5Y6QD9ze4uF9U8wPm4yUj+dpalpQlxDIzEbN7VVpXT5BMHZnEugTDF58lgpJTerrQo5k0iStuGoO3HnrHIyMoJcK4iSBpMe3v7THrta9XhS+/kOClRdYszL/t2bwrRun5Z0PPfei3/qzu6bOX4h57JCPUl0CX2fgM6jU7YTgyindvQryatllIUsQRXF9GVCuliVl8Y9F5kxepJRN4eK4i82iVeoArtJCjmgd0+nH3Pu04H2fa3P7o1MsdVrIeo1WXTHtWdq+oeFZGr6l7pOxtmPueiCp+YqaL6j5ZBV6JgO3IfCc/lY65OApON2pucRKpm/HEyflyXeslRcoSaJIs7EtuGz7kKdOJAxir5hD4kc48Kk0kyh5osaVJVdvVXs2TSVx6urD3/6aIW+4eZkvPdbj/Z9v8/C+Nou9Bh3p0/c1vhL4UhBk/bFaul3qlCgvUpU5GqsAXkF59RxWrd1Se4vyc+YrWZW1c1liITSu4SVNE0hGYEfceHnIbCtiMP/xqWDuH7zIb137Ob7G8KCvCfBH950NRmH6u089e7gJYVYob/BUhNUuPZ9IxyrGqOzAqoK97QTAGQM5E9Jkrd1UKrURwlIt0HeyxBTzwpVMUTLFz90MGTPfS7j7Ec1n723xiXumuNBtImo1vJZHW8OU5zp56h6Z7IC6L7K7zEpOM93tC4KcvXOA6wTfT6j5EdbG3PlowPGzddbNCjxpMh0rykbf8muV5aeZpBiGHjs3Cl5zw4CPfTWiH3sMY0HNs/iJY/EwtpVVShV+NUKOyRR3l2WjgnF+ez0IefurhrzupkU+/pUen7m3wd1PtrjQaTAUPkNfoz2FFgJPCjwp8YTNpJZFISrSsJrSH/fIqwAv2bwiT4oLMWNsso5+C3EG8MRCag2YBNII0hHYBJNatE6Iwn1NX7/pd2V67Epg+LcD+FMPsLjYp3vsLIgEa4xr3FUxnhUZi6akRhUAdw2/FQ2evVfKkiqDrxWu5MxQBpTkoM6ZWzhJIjKAa53i65haLWYUphw4DcfOKP7ijik+93CbC8tN8GrotkdDSVqepaUNdc9S96DmOXDXPDeT0JWZyspdZP9uM5CbAuS+59rTDp8xPHU0AM/LlnlbSdGPWRBjjJYWzQFunPM1u0Ou2tZn/+kGw5qgkQiC2BIqMmvPZOyduym5BVlqlcJnz6xIY1Q2fcBjFHnU6yE/+MaQt9yywhce6fOXX2xw7EyN/acbRCsBSaAZaY1U0qXzAZ095kxeyJaMfCYpatInt4hCopgM0GkmW9IKexuba5fUgdvEYLO7cWW+XiOiHZxkYfGJaW/6H/3D5Y75w5mptSsOLwpwGz8n4rj/z750x7vWdd52gfv3+3jSgAbtp6gwREaGNE1JrcoCS4ktRjbIcfamZPOCaYojMX5oCt0t8oNXYW1h3OgHmRIEbpJqkqacW4Q7vqw5fKrOXQ/WOb1c5/CZJgQBqqGpaUVTW5raOBfBc4Pza54b1+ZAnN9ldlcZwMk0dwZuLyXwHHu7Cyvi6DzsO9bAk+P2YCFRKOvBS3ssc1JM1teYeFy1c8hlGwY8fSRhkHi0YkGowU/csEtVAbiUAiHlGJNDufyP1WmnsuijjFOP0PNp1yO+//UhL7u2y+nlLnc+5HPkZMAXHm1wZrFGOvQwUhP7CiGlWylE9vfIgmcoZUvlVNrydBb6YVKHW2sK14Uc2BhXgmiTEuRxClEK0hAbyYPPeNy/z+O5swen//EPdH/a98P3rrGAfG2A9+c/Czb+nluvONO85aoeTx7z+PidNX77w02uviRm62zKpTsjPAQmkiXIxwAus+KZKnOXDJ7B+CLMXcoRIfIWK6evvSAlTi1HTgqeOqK448EGTx/1efZonW4YEEYBeD6q7REoQUNBQxvqFR840HmdRl426+rCg0yW+L7C92V2AdhSe3tpNnTf6fyaH2NNxPklSWgDtJb40qIrNtsEgRcgT+14v2OUeAg062cjpBrRjz0GWjinIy4LxrQyYxlIKQp4QT7sCJGRTbW1zP0dL1XF+IlB6LNpJmLHxpgbLwkZRkN+6GiHp4/53PFAjaeO1jhyokacKAgUViqMkJUvJylEihg/k8WXrWa4ClbLm8OtA7K1FXBnj7FBY9izK2LrXMJVeyLOLEje/eEZnjhcQ3gdOukX0N7Fhcia/7J8+q+Ik2WVDr8qakLQbsGm9Sn3PRHwng95zDQNO7YnXLM35vU3h7z6+ghsgqeh3rRYk33p1A15ydm80NwVT7i6phVsLd08cCEsQhriyDIYOUY/dkry57cHDGLF48/WeO5kwELfJ0x90D4oD9VW+FJQV9BQlprCjTNTWeGRcqzte8IlParg9iR+JksCHwKfzDVxKXNPG3wvyTKiMfVaxIXllDvub9HpBcxMCXTmxcsKDlatkLnXW2hxSRgq1s0p3nDLiC88POREp8nQk06maPASixfnnnXmscvU2YVUZ53IkjGtnmgxk/ipItWKxFNu7EPsOSvVi2n6MS+7JuHFV4a89RUjDp6UPLHPYxgpPnBHg6PnPBCSwVCTRiov38Tqiiivgt0yAfBClYO1iMQgjMVm0xDqzQTPMwhrePUNIa+/acTVV8Ts3JYw07Q8fdDjPX/ZpNvz8FqK+586IW575dXqv7/v9uSf/9Dr/3oAFwKEnv6dNO1fJ/2YswuSd723zf1P10iMYjGEo0tw/1OWD30xZf1sgjWWGy6PePtrR0UT6fopw/XXRDRrZGtTWSS1xl8thvN0BoInnvRY7LqqvQf3eXzqKzVGsWIUK86e8zFCE1sPIzzQGhFotJT4SlCTlloG7EBZAmVdDbjOPF9dMref92UW4FZZj6Yo2Nv3DL6fF2ilBXv7foxSEV9+TPGxr7ZQvnZ225j+vjiD51640+GSOFWMRh5vecmQT9zX5QN3TtFPajQzHe7lOjzOkzK26BYSIr+S8iMsK1q/AnCTdcBrx+SeViRao5PUAV2lKOUG6c/UEl6yN+GWvTFWhLztVQNGsRvn9smvBDy0z6ceCBa6iiee9ukOZKaS1iCwKpNllYfNmuX6F4Ssm05d40tqeftrR1x/WYw1sH7WMDtt0Fm/AcCtV0f8zI90+cXf9znXjRmu9K/bONP6HWv5ib8Wg1s7D6xr987+0V5fd9XyIOI/vbfNn356mkRq8hlkxgpCaznfMZxfccvLwRMNPvVl99ymlqmZlBddG9Gqu5rgicqpVQAncx1W+oqHn/LpdhRSS0IjCa12zCS0aw+SGqRGSoknhQOztATS4EsHBF+Br8oZfQ7komx40K4RIG88roLbMXxWVuvlDJ5W7gmBjrE24vSCTxTWCKYkfpb2VllV3lgWM+/ooUyvlyCXpEYRxR4zLcX2dRG+GDFMAoaJoK7dEMy8hiRPaClZLW+Vxd9yfyO3bE2ZPTUm65WsjH5I0ixvoLJNBxLiJEXFaTanPUXKhG3rTLZiGK7cMSKyQ6Q2dDqCh5/SrAwkKlcsFYCvrrZweGjWLC++LmZq2mBTJ2Mbyh0799kVJvGIs+PktrlJecebR0TpEr/0bknS76nzK/29//mff3v7O9/c7e7cPN67uQrgR44vomT31+65+9lXLV1Y4YEDc/zlHVOMpO9Atao/rlx2EmvpkK290tJdtpz9sp34mlWQjxWYFFe+FQKTb7lAVnMqVBnkSIkSLsXsQJ2lnSXZxq25b1x51FknvSLbeo8C3K6tS+Fn4PY1RYmpY/CMxbXBz7KjnhcTBDEnFwx/8oUmaB9PijLALOSJWMXgVXchHxLqwOYG60SxxzveMOTjdw959nyLfurRSNymtK4K0JadOCrPCZTBXnEsi9hNVgq88rspamG0Vnipm5fiZUB3ibM02zPJWbAuuM+2cZQpWliETVnXMHzLrRZkWm7eKwzjOqV6zi3kktVoTFLGZ0ksHaAZd9zILtsks4R/6FtGNIN57n2mx9Z241ULC9f9mi+Sf/J1Gfxf/fcvo6T0v3LPiNPnd7g9PXTGmGuN/Crc/WrQUD6m3mRpWOV5NTgSWVtQUSqY7ZEpZdGCpgT4wqWVfWGzmYbudT7EU2cMVxQSaSpzUBzIfV121ZcAl4VsCXxbtLT5vqkMzknwMvb2dYyUEcfPCea7NYTWBJIxeVKk5ytJkaovXHYwVQNBN+Nvrh2yc9OQ/edChqlmlEKQuvF2XpLp8ITCWSrzBWqsU6EsgJLlPJnqyIfUoFNDqiRK59uXq2Inuzz3UQLboEQ+GcsU1q0QdtW9+AQiB/lqc8EWDlv1eZntLuRO/kWEzQaoBnzvaxK+7/U9jHiWNPxzf618zyqAP37gLEJAx2j01LRb9taIkqp8XAbHeQltpXey+EYXkSdCuGU1W8pzFnJ+az6VCpdwEBloMwmQPy/ey8i+LAWlaLD1lXBgHwO3dI9+DvQ8+KTYntDPmiRyieJpp099PyYh5jP31Tk/X8ebUvjVGo6qg8KEIh0rQJqcM6IYhW6C7Ztv7XPfkyO6SY2B1tQTQ5Sl05UsC6LygjMHtPwv5YFmWffhrMNspoqFVLm/qY0gUQKdymwXO1f2kAO9BLcdA7qsuFxyEuDA2EAhUcVDpbCueF4ydpEEzCzk8URgaSMPRk4OSylR/tE1MTYG8N/9kzuYbtdf+u4P3XNTf97QCspetCrzOL4WY76mya7KwqKqAH/NFDyVSjXKpEGeSFA4YOezO3KwK1lq3Hz0m3sUxSiEKrCLOSgK14+4FsDzgDPX3TqXJTbT2+O15L4X43sR5zqGR5+rg/bRmTzRlQKlPNsnJhDuTmalfrroS5WFJx7HHjdcGjI3PaSz3GCQKBoKvMR9F5Vmg0vjKsDJNs/N/5AskixFBtnYYkqVUYbUCDwjSJUkVYZUCZIM5EmleC0vh8iBLnNQy3zjXovEuV4luMskENXEXX6RV6orx4CeAdxkj+M/W5Z05OXUQggCZm9qbXjTSxdPffu9c9u+bW2ACxMRDs23rAuS62f1CKU9N8glL4ShMjqgUhJpbHXpFasuhrUAXtQYZx89X85zkMs16iByxtL5e1kNeF7q6ZqL804VJ0tU0b1SAjtvvnXsnWluTaG3c0vQMXYJbq+oTowRxHz6KwH3Pd1CBhpfCjd/u6ggLNvoyoq/yWxmtU4+98QVqVEMRx63XD3kW1/W4w8+3SJKA/qppJa6vXK0LKsVC5kiZcbi1T91MSYHo2XW3S4KcKdKopRxjC5lNlqiBLeSZQ2QqFRy5q9z1q4WZq0C98StytDjRVplxWmuxcfqm7Iq1iRJqae161Ur/BZj7L1rMvjJk6eZarfe8LFP3fF96WCedW1BYoybL5dPmiKv+pqo92XieVVyX4y9s/+TecaScUCoSs2DFFR0balxlcqZnIzBKdqwxlg864bx1Di43TiFCebOejb9rL3N03nDQVK5x0TE/OWdbVIboIrsZTXALPsac2djTIMjyobb7GSZzC50waZG4PH2Vw/408+ErJiYYVpjmAq8hILFpbTIRBRFZ84unNSiktKarNRdG0Gqs5ENKgO5tijj5EqqLCp1tUYuwJQloHMWl9UyCioyJU/WlSio1pNXEWErb9kxyQLj1aeVStVMziWpJIzgwsqASCffd/nVr7lrYf7sF9at3zwO8CiOGYbhpaPRYE8a95mqa0ZxthlRNtHVGIuRlUqwCjMUUiTX4au9oUJ+VSUKOXtjxwAuJ55Pas7cRajO9sj3pFEZuJWaGHaTAVsrUTophR3oOu5dY7LNmLsMMHWFvQMv4tHnJIfO1LDKQ0mJL42TVNU6jYoAn3RR8nvRgF09cZmjEicee7bEXHVJn68erBMrn2EiqEnwUotOhJNzIuvCSTIdjkRgJg796oaT6hyTtKhsdPUuDtxZO5uyFXDntUA2KxPIwF1UeU7q8CrQHauvpjxbqSatTlCodIZVSq6rmdk4kYSxYrkzorVuuCdNwkvTJP7CKgZfXFxiOBwyHI7Qym1pbbOlRhrHFmlxIio1BRV9Xo0n1wopq9VnVYAXwGY8OaJECfp8gGbxXAjXPZ+DPet0yZk83/dyfPvvjLkrw39ctz0FsItsZcHcqdvCMA8udYwl5sN3NlhcrCMC7Xz36kU4WYMyeS4ptXeVVce8aaOIY826Wcl3vabHo8+1CdMaA+VTT50Wz8tZlSQDd75WmMwTz9LfGYtPMuPYhINsldaGbOnPVyQ3T7KcRivL59KU50mWzC0rLE5lhc4BfnGpUmryMQbPi7VMlQBEMVh/FGV7pEYjet0l4mhU/M4C4B//5KdRUrK4tEK9pomTyt42qSUV5RhjUzkp4z2U1Q+7Gt1VYFfBLr4Og+dNsHlSI2dsWWVwVT6WckWi9DjA/SxXlYPbJXwy1i5S8SZ7no7dtXKdO88ehw/d3iKUPkqqLHs5PpNlMoM5eVKrx2xch2faMlUkqSZINd/1+hHv+9yAJ4/UiZXHQEr81GTukUCmthg06thUFGUP7mayvzW+b1GVyUtwu0Gp2uReu3FSqOjbLLuoVMbgiagEmoVMqVQZruoGWk1/Yzq8wuB5n2/O4tXMb5IKt2dq4uqfjh49zNlz81hTSjQNsDB/lrl1mxp/+Ifv2d1ZWcbTzjNVxm0cBWJMD4+NLa6CPL8CL8beBajtBLhXB2XjEkUUwCnZvDLuoDL+oDq1Set8k9dMe6sJcOfpey9vTDZuZkjRIpb3dCbZPUZ5EYdOa3qRD0pn8sROlMeu/l5jLkpFD9tJLzzrxikTP5qmJ9i7dcSThyJSEzA0PrXU1WzrTIMr4TZrdYmlnCUNeZBZMnlZG5R31ehiwoF7T2XDMl3GNGNsU04IyMcuJ8V02vEWQjEBcjFx3ldf8E67Vp3lKoNTIYG8BzipbhmZ7dYcjlIa7Znd//Ad/6jx2je9Y7Bt25Yc4OcZ9Luv37xp3c8+8eTTWYWa01+2mBgrSDOQj0uUctmFCf19EfbOv2CVyeUEwPM+xklWVJWxbGOPqhyyKSuypLqLsafIvHAHbgfgciiQV5UnVfZWWV+nH7HUM/yPv2qxOKwhAs/JE2nHVpVycM7FnYMC6DlD5dMHCgZ3jkqSaNoNzTu/o8eXHm2zGPpEUjOUEj/roSxHPuSAEiWJCFMk5ywmA7fBIhl3VkTG4LYI0nOwKykyBreFa5OIcv5Mrr9L9q5Mqq1MQKCixS8qUwqAU3jhzqnLGtez6WjF0H2Tj9QWDIYh9ebMzz7zzIF7R+Hw4wWDP/7kPoLA57nDx+n1Iwy6AF0e0GU8jhEgK+3/Y0vK1ziZa+nuKsOJLNFTALySDcxBk7sT7jNVAK7K8WOqAmotJTqTJLoAeK65TRFUetoU4PZ0Xn8xzt6eivH9iL+40+OZw3WQHlJKgrw0VpQnuexfdF/wotWEFZIousorMiUxruUsSTyu2TPg217W5X2fq2F0wFD6BFIUSR8lBXF11vcEk4sqk086EznQFSjrVgVjhQN3PiXMQFrMT8ldGxzpySp7i7F546WjQqm/v96FXwF5ObpZVEqMy9njeQucmzsZ01k6yYnjgiR2Wy9qgKWeIIgEix1Dd2CoBWUmUkiBtLbIoouxZaOytFwM3aL81GLsqhZrSpQxeVIZCll44l8X4LIEeJHoyQFu3ZzsTIp4qnRLvMpwoFJzO/b2tJtatdwxfPLLLRY6AdQy90RUgrGLSBTERA1lNRiftO1yy9BITJq7KZqZtuIfvGrAJ+4bsdgPiJRmmMrMnhSZeyMKiVC2yZU63Nqy68cUbE4RU+ncWVHZc5m9lm4qcHncHchVpvdl1qA8Pu2g3FUvt4OL4zABcMFq+JQgz3Mu5WSGcp6lKMrNlbJMNy1bN0q2bvaIY/cb9YGDh1g3N7Prnnsf/ulz584jhIugc4BLINtknczHL64utda4h0lsTyxJOVMXGlzmQBAT+lsUTJ4Hl+UBrsoTMdbh4oa7Mw7ufGeDnLlVhblXMXg+bqIcOaGVy1wePSY4eLyGIUBIXTTnltWD1dihLDsQlaVrVRKskqYuXYLSUXGbPmmwmit2RuzZPGJxfx2b+o7FUydTdMXFKRNoYkweuI4ZWXG9Mja3pU9uZDkMtRrbKOMIxlQKyUyx0oqSvXPQC7K6kVI2FcCuBqBfg8GLGpWKN14OkiqPoRD5nEXJwsIF1m+68qd3X/bSx0+dOHxMp2nKcBhuwpo3dFaW0NovspRVvSSFu5LkWFA5XpOyFnFXzm3ly01MhS2eV0BeAXXJ3OND7YvH7Ms5B4U1AJ5taa2q4K6APNuv3stKQ3P2VtlrrWOUivnMV1scWqiDX8oTr8gmTsqt1eMiVp3Igj2rAWeZoatq8SjSXLIu4s23DHjo2QYYjyR1WtxLs+xuOi6VypXSVngyA/kEKxbPZfY8z3fI/C6ybWlssXqmlbyErIBdmHwVEeOrtXRIERkQ1sJIFeWT2fBcOVRXnYI0LVihWFpcIUnMG5I03GRsekzn20nkmwAJlV8WFLJCZYElQnAxK/Cv63uXIC+ZuwDERIBWBbQDfQnsgs2VqDThVsCdzScst+1gNbB1OSCoGPGmTQbyxMkTFVNvRHz1gOLjX24yHPnQ0Ggp8MS4NJn8/FWnaE2AFyCvTnWaSPhkII8TzVRL89ZXjvjcfQMePOBjmx7DNMgqLPPitPzvV626HNwlyKtutAs+swtMOTZPpVuhc4CnlcSaKexCUdkZQoyDfa17ShGTiOonEF+DySdAPjaJoZpvyX5nPjlX4hJSehjGaC9mFKVECSi9uswTsiL0CSRfzDH52gAX4wDPBjyWB6LK4qISYE4+d8CWeZpeVgIiVS2bde1v+QhlnW3CpNU40L2Crd1dKRdg+n5EHKV87v4Gz55ogOchpCrKdtVEcCnkOIuvurhzdirS0FnZQ3VzJ5tv2ycLTzxNNVGkuXJHwhtv7fPEsTph4pNKj6FR+CkTn0UwVrI6AXI78VlQ+cVmMEo4+WnBSoFVIG2px4sVVYI0lVmGplw1pMxJqxLsVuQTlMG3EGvCZzVxXiTnUr2IAt+gZAI2RtgY/e73fxqlFL1eF4trWB0LkCp/Uqz1Cda4rdLelZOdXzh5GntMf1cYsGBtUTK2lBVwV0b+qoKxc4CXk1MLiaLzq9tkTorJAG0qwM7YOwsutYoJ/Iinjwu+cF+DwdCHpocUeeUgFXtwjSxmRY5VT19ei1KkqG11CutEwqdSgBXFHq1WxBtfEvKJu0c8cSQA7TMyEj/T4sqASvNAr8qcWcCXVsFeAttat/IV0kU6Ns9XlTyTbKwDcq7DlRQIk/vhlRUse0+YyiqdM7eoSItJrPwNb4X9iPt7XiBZOvcgUe8Z0jRFnzk37+w/k7gahjyQzNi2utT+dUE9DuwqkCd0eMHiOZgnAT7B2ll6Ph/xO8na+eayxXNdnQ8+Ae7s7uVTaLMCf60Sd9cxnheT2JRP31vnnqfrUNMgXUOzVynhHSuNZfXFfLGDNzZ9lbyclaIZObX5XJMS6OHI4xXXDHjzSwc8c7xGknhYoRgKjZeWNfQirWjgsUtrNZOXf9+iVM7cjs3da4E0otDhSjpGlzmj5+erAnQhxuWaOx5rg7vEzrhsWRNjlRf595L5N8pwFYVdhB1grEVPNVwbWBynxGG2xFZ176SOvAiNX8wxKR/F2MqQA1xmb1QPSJW1hZyUJ9U0feWe7VigCwav3HW5CWoOaK8C6tw5cY6Je1QqxvdiHj8m+dCdLcAH6SGEKrqIVJbRWytJVV398nrCEliUQRRV5q5ocCswqWvdc1NoVZG+t1bz9lcPueP+EQ8fdpMEYqMYpCIr+MpAl+aAWst/zixeax2LV4Ge3VUGeiOz/Xzy4M5UMss2+962JCgnVbK7LH3wsZ0ucqky9lqswtKaAK9eMEWTsyv7TRLBYOQRpxprLbpddx92FLohh3kgkSdaxmbRXWQpEROXVlVvlitAyeSyAoJxsGesLURxkZXShIoXPg7ycjuOEtzlAPwS3GOsXXnMG2tzqaJUguclxGnCXQ/Weeq5umvdky649IWtTI5dw7dfQ4NPQstWnox7vYxr8axyzqjMUUk1YeRx9Z4Rr3iRY/Fh6lg8FD4jAzqt2HZpbhdaSCcuMmzmRIzvFp0zuFUWaQXK4rKfViCswAqQVhQsXshLOXE8BAhTNQ3sGOkVCmEVGU6w+cTFWV4k7jMgLVbkIJekQ4UMPcCgw8QBK0lLI1+pcYZ14JzwMitgXg30nDkmUtYTF0wV5DlrjwG9Wn8iKPbeKXcvHgd2CfYS5GPgrgzFL9wTlaJ0BeCZRPF1zKGzgvd/rkUYe9DwMnlC0ZqmxjKHlYt5VeCxmo2qDM6ETMkTGKWjMqnFNc1A8gNvHPDpe5ocOO0uvtQoBqlyVYZplvzJz10qKs5FCfKyybAMNmVFOqlMo0tjsdJtVGWlcAA3lXNmKZg7d5Qmk3emKnmrykCUn6Zk7zWSQhOyRgiwwl2kOfascFPLPM84yfUbv/7fNmql/t/DR09c4eo1ZOFzFkGdAClloYPLfSirYCzfV1IUOrn0rwVKVEb/SplZe/l72aOSY5bf5D0fmVD1uHVuBRYuCRU5UhmGX9mrpyymynZ/0HHRzODpiFRGvO9TDf70C9MQBKBqKKVpKEtd2WwcBUWDs1dpjSszqZXyASkpJ8MyFqDm31VWMqJ5HCEkSFVtF3PPhTVs3xRxekHyyFM+iXCTB4xQCOFKacfinIlVtCCosfVFlFnW6oVo7dh7hfPDhLTJkzMwFl+MXcCMb1kyfs97MgXVaWjF76H8ffkt7/DJLw8h3OCl3Zdev+nyq176RX32zKnpJO6/yVcJge+NaUkqbOsYeoKxKyvvmstN1RKsLEklc6/etq5aXFV9Xm3mLfW3rejvrKKvKk8KcFc2olJ2QpLklYI5e8d4OubgGckHv9TAzV9x7F107ldq06ttdRImAMUYszvKGWfvsuCqWhtSNiFo60awpdlIPJMqUpVp8VTz3a8Z8LG7Guw75YGMsEIySj00Wb1IfmzTDBVpnvgpmbwEj80AZlEVoKvM6VFZeYa0GelZV5ckRdaMUNHkZkyCVmI5ufr4rMXMq3A08b77ecf4JpNCUroaleEoZmZx8KYoPT2tlUwJtKVVV0gli6t1TCON6Z/xP1YCfWJJqTCGFGLVRTIZZZc2YflcjYHdyZGyXLYC7mKfmYo8kSW4iy7xbPSw1tmw/NzvVglKJqhMnqQq4VP3Ntl3qNTeUkjnfRcdNBQZ10ndLcdAXgmcKrAqn483II954pWJVNoIV5siyxR+FGuuvDTkLS/tc/iDAVGqQGhSoRkKgU4rWU1KiVI2z03IFZuzcxkTKGWxMg84XTCpbC4NshS/ACMd8I0ZP5c5kZlCk49Ll0k3ZTWGJsA+9igqVYsUFugoFCyupCQ2QrtaaTf0RghRVAgWgK1eMfn71WCzehIr6121DiK/KPLUtUCMBSRjj3Jcw+WbS7klnKInU8l8P8wKsOW4/s7Bne+ypvIgMt/iRBq0LIfmK5XieTFHzir+50fbjKRHPkGr7JrPVo9Vxf3lqrcK0WvcxpfvzM2w4021ZfJHFrXiObhTo0lSjyBN+Ce39fmruxocPqNBxWA0sfAYCoFK8wvOZgk1W1l6q6Iju9jyD5evMIisejQrqsq1uSwDT5Oxuc2Oh8kK9HIWn3SXJtk7N0JWM/dqUE9iz4z9jMNvFLumCINEF13omSUgKnvjjEuQ8peMW4Y5O5QfclW2ssLuZYZr/IuOSZKCAWzpmFSeF5slFTuq2XEmrwA7v+egVmrCNVEpWjoW93RENzL8wSfanL4QZGldDyFkJk/smO9dPK8cfDH5vcXXxvqYVCkaD6o9mnkKXxb3ohlCKtJEs3V9yI99W49ffb9PJ3YBgbWS0ChnG6aiAPlYsClKkJfALsNQlSWgqhLFypLdc8DLPAGUn7vMhcnPrRETq1wF7JBJjCp+Jo7ZWsBf7bqUxJGmkBhLmlr0MEwZhSlJYvH8LMM48R+Wz1fLkPy91Vpq9dVa1V/VL3wxYJfvl+1S5WPJ3IU9KC1K59uZlIB2cqTC2vkuCSopHrWK0UHMRz4d8O4PtwmN5+SJUIU8KZqKJ1aZqiVYSruxU3RRFi/YnEpGswB9nrK3GGPK3eyK5I/bCrymE37ibX0OHvd576ecFgdFKiQjk7kpaf657Biwx5k84/JKo4HKAob8ApTWZrMDM/9euAtBCFHIFSEzOVOpS7fVlV+WMq7U3WtbhpMku6arUv09uNLoeiCo10D3BwmDUUqSGoLMBWHyF08CfALk+Qes/uxYgmji6pVrPRb621b0tx3T3HJNcOcAN2WQWYC4wuQyLSWKqlYLJpnvHbO0DH/1pQbLYQ5uB3BPlpO1xuVJNRDOlmPGAT+J76rWngT5WFVfZePcaqdPUScuJcoojNEkqWbKT7nttQM+dm+DxZ4CGYNRxGhGQhR1Knl14fgiLChlivuUKv8JC1a614U+lw74OYvbjL0LgNuctfNqwvx1Zh9nP1eAOP+5glArWKrq8IsBvHIBSOkcrWbN0q6DbtQ14VAT+AqtZcXzHj85479oHMxrBQqTvvAkc48zYIUVBW5aUg5sUQX2OMCltKuDzBzcMndLygCzZO6ctUv29hoJn/5yjQefqmMq2ts1NeTyZLzepOg/ZPxirt7FxLEbv2XAmkj4VEtoTQX4RdBpJcqWvniSemiT8OJrIr715gF/8hkfVARCYoUgNBolhNuCJA80MxYXYx9wPPzNE095RlPlCaCczQuJkq0+WY24zBYJm5/77NzaCg7yf6OClVLe2lXAXTPWm3gOIAzE1jIYCYIR6NkpCYlkquksimp38+Q5WesXT0qWVeBmDf1FafmNg74y+6QAeWXv+bVYvGINVsGdT0YthkjmzC1Nwd5KOvck8GIOn5C8/9MtzvV8t9+1dIPelaDcsWHivkp3V33nNdh78jaW6Kkw+9hEp+qOdWNd927/HPfotj/Z2Ez5wW/tc+9TAYfPSxAxoDBIRkIWm0iRkQq5ZJm44PIPp2QpY6x0/yJt1quby6kKuK11YDaZPWnzFSNbBXKJJCrMnn8GAa4midLFG2NzoDpTRVzkAFss4ciw2ElBp+hmzRLWLPXADfgxE0Y6a/yevw64137uAArj9lphZVX1dw5kUQJainJ8QQlwJ0WksmhZgns8oDQVYCcomaIzW9D3Y8LU8Ht/0eaeR+tOwEnttLeUrmtHlPNXyovQrg4wYYzJJ61UMXYimMhglq5FDp7xysJqGa1rNzO5o5IaEqlRieYVN0b8+Nu7/Iff8wmTbL02kiRzVWQldV5mnCdAPjm5zNqifJasacGKPKGTgzsDtKUAt8l7NwVZtjEH8hrYwP2xqiGxliRZBfAiMHaPxlpGUcpglBIMDbo3gMFIEKdZpZ69COlMnKyLeZQXA/ZkYJkDu5QrdszznmTvYhaHKsGuxrzvcszvmO8tK7JE5qyeFAzu+Ql3PuzxsXsahJEHde20t1Qle+cX1Ndj7gqKS5WydtPxZDdUufNcFdyU4FmjjFYaJ1VyoCeJpt5IuO0VQ26/Z8gdDytnGwrXtRALzRBK79hOdvtkn0sKdP66aOPMdHl+UcoKg5OztqtRsXnrHGRjwCvgzjT6asdpHEdrEekk/saYQpQHVStBoyZpNhS6N4Te0BLFUFeljbcWysXEi0nmHge5XfUlSmuwZGyxliwpNHmuu002GiJPspTAlnIC3LoEeeGiVIa5F9pbuimxK33Lp+9tcOBszUkT4UpiRZHYobIh6mqQF6tQ8d1FBehfQ59UCchWWHOt1HW1wtBK15RQKaOVQiFTg5SaONRcvinmW1/W58F9Pp0oKw/F6fEIhcT12EvWamlznejJROCZ63AXYJYltZasA1/mYLYVb9yW2nuMDGxxzBjLbJY+/Vrk+bVuJe4knqdo1BWtukLngygnra+v9YsmAV9+iErQJcevzCpjF2CvALr0wscnKImxoZZ2Qn+X430LIMuJgFKmY485uD2dYEj548/UefdHW1ihne+dOSeOvSm1d8XGrA5BWsXc+YlakxVK1ilrN9bywqsyZXUrm9vJLgN5qjDSkBrnqsSph1SGn3jrgOfOeLz7Y5o4yWoMjMQgCIVEmYkSXjEOcpV9eFVZanLnw9qsqz77zLmToqQoQC4yWWIKOTfZSpddVllbfNGBZMtj6D7OGgHn18Cm+yyGJHFzNbXJBuRpZdFexZ+cqFMY/0Wrxf4kmC/G5GMuyZh0qcqREsy5FMnfc8xdDmPPX5cBZQ72cs96le1UoDJLUMkYz4957pzkY3c16fc9t3zl7F11TtZoS1slVarfv3Iwvl6SJ2fwsaaHAuyVbKbMh95kPZI50GWZ6TTSaXEpNXGc0momvPWVAz73lTrPnc0yZDg2T41gmF2GQoDI27jshFzJUS0dk+fzcVzvr6tbyT1x53074FuRuyal/jZFeYMYIzsHaGdBjieA7CqivZjUqzKuNK6K0Bg3uVe3Wz4m0TRrbspqNarPn9g1flHxsJZEqeru6ntjI77GgT0J6kKLT7B2EXCuAe6cwYuB7bkskY61dcbkWieEseH2B5p86bG6Gw4uPQfwCfYupUkZMBWrEOP6e1KD/41uFXSPlc7mrJ47KVZmJ1BmyZ9Sj6dCIlMnWeJQ89rrI1774iEnP+sRGldtSLbFY4omFBRMLrCIsru8BIFyXryqZDxVNcCTTodLkyut3C4UFXkyHmhKmb8vxkgQBMKOD+sUFXCJyopXwrOywmT/b1IXhAup0Tt2bFupecPP9ZfUt0ex25goXxLHu5knabzyIYoPYlczOWSDGScck7GCpar2ngC5HA8qq8wtx4Cdp+lNYQfm+9fnqXgpXaeO9BPuftjnXX80RWp16ZxIjZASTzDWkjbO4BWQyyrQV7soXxfpY5nMtVP2xXOqe2q6hFzuqBQJIKFIjUEaTZK4/YV+7oe7HDilufshifEzFs/1uMnTOVW5Uj3BVebONHnmpORAL5wU4eqLMhMGmbkVdhXQ8x3THOEJKJOLY5OvRCXhOi5TVjcf22LOYpIaDAqh65/btGXLivq2167rm/DcYa3sj0dxUiBTQvGBx7veJ4IrWdHPEyWupTNSDoavptxVxSVR1cKpagKnkqksX1eylDK3AG1Fa5cbKOkia1n2Wp5aErzr/VPc+1jTbcoj/awk1hVV1SXFhlL5BlfqovesLr4YkrPWXRbTt4qG6YquL1+LCavUjh/P7KKq7qhQVu1lE14l5b9Zy7q5hEBbHnzSZ2U4udTIYoq4qMB80mMucTV+ta7lJlM42ZWfq2iLsdHaq4a1ijHwliUC2e8dW90qjdrZTMXUQBRbUjyOnFj4wfsffPqAHgwlQgri2AksJcsaW2Mzk74ixMtynAm7cGJk2HhAUTkJazB3+X71xFblSPY821Gg3CPSrJYoasIWzEths+epn/L+T0zx8S83sTXllm3p9HfB3mPae1x/r+qYL1YqUR6MSdae0OKTqYYxNrKrmbzsuM9PaKm/c42eDwwyuVQxilRo5DDltlcNefaIx6+9RxMFSQlwITDWI8xa0USWaxcpeVanYO7ic2a0mps/5G5KzubZMH6bSxbhAsm8RsUVY4mC0SfdlVWVhdnBExMYrMoTt7o5kIPbJlJ7Tlrpxa7nOiGwrkg+b8Ey7guXV41YvYJVmkbHZcm4JJlMx5fWoK0AfVyWFAGmLGWJrDwf09wVm7C8p8VdFjUnKXc8FPBHn20ySrMp+DK/u6xlUXMiKitQBeiTK9iagTXlMRk7YGvcbJ5YqdhyOXNRALs69cq1jDkwW4ysFGEJi0lLqSKEkyuBZ/jhN/e5/wmfOx6TGaPm9qHAoB3IyXebFmVhiSk/m8L9Z06TOzBTADt7lGCzyVZWVANOCl9cZK10xXGyJdhtlvmsOnOFzV0JDYrVwLomjGKUm7C06pJGXWFSg243YhACaxJsJs5Tk/+myrKQTzmsnrJqgLkK2JVAMweysGsAfDVrV9lcFXvBVHf8Gge5zOq6ZdUazBhbZgGm0jGDEH75D6c4cjrAFnt/uuBSCMfe/kRSRzLO3GMszur7qihzDOUTS/xEjDPpqFQ3/MptwrFxb/mOG9LNkxTSICuJHyMMqdHIyHDJ1ph/+yMd7v+ZgN4o+wJZwAmCVGpCk69ElQ8m89dlrXgxw1MI57DkCSlTXhdO3mYZzzxWyVi96rCMlTdUgE7WZ1m4l9WlrmBwKuXF2QYNKfQGKXGaYIxF7700QClFv2c4dy4hTDxsQtFtbca/8jiDT4AaJoAtqppwrSDzIq5JlpIvGdyMsfgqt6R4LP1uWak30TomSeG3P9Lisf0153nLMqmDEKvYWwlbqcC7CEtPStqizkJclK9XsURVlhQnLi9XtWtIlcnET2YZCtfa5hg9DzqzFjehkcZwwxUx7/zODr/xF9NEaREeZxahIDGKMJcF4CSKqVBndsEWJbSSzCosJUtxJwdzXvMy9qdWOSwF0HP2ztL+IpM0qw5bNbjMAZ5aBiODqreQuo1JU/T2S9+KHzQ5f/opLpz/DEpo0spVJfNls8JEeWgwmV6d9LXXAnlZdzLB1tl/U9XcxYZHKtvdtrAHJ2VJmcSpAl1mLK5rKV98IOC9H2nRGXrgqwq4VcHeXpW9K4Fg1UUpgb3GDMJqgif3mSchPWF1rQrI8pM3Cexcmox54LlMsVltii2lipGkUiGtcfUqiaJdM/zo2wY88kzA7V9V0EgyGULBTomRjIrPX4LcCrfHppX5Z3E7gOT/ndPctnBYqho897hzR6UKcjEG9NXFakVd+eRxqhzAaowyClPe9uqbeMmLrqPT7aGF9BDSB6EyLbOae9ySYcvnlEyW2zsSJti6YqdN6OvSBy/BLPIMpjDjAJcTLC7WBnf5XlK5x0idsP+Y5n9+qM1zC9m25EJX7nIN9r5IxSCszeQVl6kggLUpvCTDyVqUsfR8deKUyNLhOeArSaCqRy4rWc4ssymMJBUqIxuNjC17ZhP+yXf1OHZOc+i0wOqKwBICi0diJaNCrlSYvMjMZF8kB38RaGYNy9mvs6KULrkssZJCfwNjdSk2NyAodXhVnawFcls5rjlJelpRDzyi0EPHiUJqxTDU9AYaqfIZzGuAfA1gCy6mt8dZvNwgqbS4lKyCP9+artx/Ua0B8qosGQ82x+WJlAl+kHCuI/jl97T52J0NrFeRJiJnb1Gwt1eRJc4mtV9bf1eW3THJLSZAPkHjY4d2LUtlgpVy0Jf5CTteI56DXJQgl8KWMkU4PZ6kBk8a3vqqIZ1Q8rO/rji/IiDI0Ji6q9saj0QKRhaEKSHm2NixtzXZ8+w8ljrc6QwHZPd+DnaZ/1xRTltx3fJDZErcVFdAYctAdVWGM8MgCho1QT0QeJ67y9RoELVzcaK/oLz1hJF1e2JOnIlJFqvWbo8Hivm/lRo6T9BIacaKpcpsZP4zOWirVmCuvSvVgMXPpWNyRBavXa1JhOFT99X54kONstZEZragrLJ3VnMiKwwuxwG9Zt9lVRpWtfgaxLCmaVytRVmVrne/rAjcKgF/dc/IvEY8nZhIW9asVN9TJIlCGsnrbx7xllsH+CKFJAGTgC0frbHEBkYWIiOIjSC2bjh/Ugzpz/fXzDYKLrYjFOUWI/m/2cmfsdk2huV7trKrdm5sVI/LmIWaH/PsGOelzDu2zFHz5RdajeBczVfIrdv38NTjdx0Lo/h/1FubCENTbPazRvJylb89FixWkzuq7Hp3QK/afNVS12pq3Y4FkVJNWn/ViyADtRwPKGVW550IwyfuqvNr721zaqGiu0XeraOQwiV0giyhM5mxnFydqp73GHsXQJ+YI8P4Y+Gprcb4OIFXwAxiDWkyvutvvmtauVGqLIZ2mlRljcqa1GiM0cSRYvuc4Wd/pMO3vaqPJxJIM4DbBEwMxoE8GgM5Jcit2wE7sRngC/C76Q2pLTeXXX0BZIC3+baUtnhdAN7mrsxqkE8SiFMOAkHKrp1bSJP4f3zuC3ceu2LvZW6PnuEoQSeSUWhIUvCyjblymTLudNnKia0mbiYaASa0di5NqjUnxcUhyoCy6nUXyR1lsiAzu0gycK/leSuZ4HkpRxck7/1okwOHA2jmjK3cF8uliaSYMzjWJT9Rv15WEU7aopXAsigSGpcq40xeKsmLARtrVpXNGpvVWRfzC232XsnuxghnDljpRjZkQWcqLSJ1Ojy3EFOhSULLFZck/PBbezz0lM+x+eyLki1XeVbRaiIjCv8bbBZU2jJDKXJXxTkqJRtS/K4iQKWULvmfy90WKUWx8aE1Wfsb48dt7BhPAF1nIDcmwZoUyDah2rF7L4FfA1KWF466OoJqyrVSsph/ZlfTXYJbVZ2SQmdTAW4V9HbsQlgVWIpqkJmxe+GFmwq40xLswrG3VglLPcFv/mmbux7LRh7nmjtP6giJFODBRGBZOihKjAN6UqLkr6ss7oSF5K97W5XUKaSJvXgAmhkBssrklhLYmRYXwrkp0phMm7sMJziwp8LAwPCqG0L+6Tu6/Kc/nGZ5WLkqJYVFaKUiMqLQ4OQdPXnwKbNdsfPnxhaaWxXed/7flQ5KDqYCqKbctIpMw1dBPjlpvQp2YyxKaXbu3MF1117NYDgsvgazcxvZfcnltyt7/l0b5hQ6838K/ZeDvRL6VtuOJsE9XvU37neP1ZtUNLesyJCirntVdeBqcI9ZgjJhJC2/99Em7/lIi16s3cSgSlBJMbsvtwUrwJ6QI1U2L/XeGuMwKoQ1WYT21wJ59XEii5kDe5zlSy1edP6YfNcxp8XLJmVZaW+TGKsw1g0OSlNNS8OPv63HT9zWo26qWjzNJEsMJsVaS2whNBBmciUxgsRCnOluYzOJUpEshVzJJIuLDUoZMqnTq4mbQqaYKgFUSSUfzyGIYkNkPJ47Nv+uK67Ye/vWzZtKgG/auJnjj/+zwZ7NTx3dsbmPkrbYaLPcT708a3mCpxpQVsFdSA9lxvV2pRN+FUMX7F3KjrF/r8gSuQa4pUrAMzx72OfPb2/QjbPJmAWwS4kiRdmpkzN4taWqyO9VGXvCQSmOxdiFL8bfX3MxXQvkJWiL93JgZ+A2FbYetwwzlh0bVJnXj+dBZh6AKveeUdlzRRJrWtryva/vc+VlITJNK+CuAN6OgzyymSY3TovHthJ8FsCtBqMZkK3b6zK147rc2jVAnn9Xyou+ZO98nyZ3Tw1c6MKXHzt19PXf+28Hm7dsASp71dc3fD9+LaB7+kHOLjydTUS1aO2WFqlEsYAWQJCrwb3a257U2lWvuyJHisdSc5daPC1YXFZrTETJ3NozPHnY453vmuGpQwHWqxRSyRzgEiEoZwxW+z9ZIyU/wdBFFr4abLIWk5cI/1rQtqueVE4mE354pSaoOjvQFBIl24VBZGPTsn8TWSpfGPcbS1/cjZ1AOMRee2nM7/zsCj/+n4Wbh+5TjqTKrUIJFkWcuzuZHMllCaJ8TwpnG6pc2uTWoSkP2GRiSOaySGYJxsqGU2Ppmfz8yGwqmxRImfLKG67hpS+9ldFoxB0f/OWSwQGWh5vphVs5fKbJ0dOW/kgQJYI0LZfI4vdXkjhjNdsZa8sJiTIpS2QhSVYzuVxVODUJ7kyyiHzsQ4z2UnpW8Lsfa/L4swFpbgdWEzrSsbeu2ILlbggTAXJFroxbhfkItPFgc8w2mbQKxdeAuF3jaW4dTtSlTAadY/53dRtwK0u2N6KUJ9WezsqscZMNDxKp5IYrQ/7xW/u0ZAJJmsmTimQxJZMnFbkSGeFclUyiJHbCVcm2366yeZp9h1wlVGVJWry2lRWrGpmIQhp7WtCoa3Zu9rnxyjbX7d3IdXs3FMe1YHDP0wSB/1y93jjsB409ozDF07JYMvLzNxZIrtLaZUBZZXMhTRa8ma/hnJjK66prUgG3MihRsQdlivZSBim892NNPvTFJqEsU/DFo3D1Jrk08QrnZDV7j0mR6niDMR2+BptPaPHV49sugvFJWVKpQyn+PSvsKIreKId1loGmC8IKFheiwuKyCO6tsS7YNBYpFMZkteOpwReW73rtgH3HNe/9aIt+jDtgeaSXT2atMjmOdV3Sh7GuHisyV0XmCR/hVowi4UNRz4KxJTFUmFzYcSbPhXhOrkpKtIKZqRb1ev2w53nPJUlUHNOCwS/ZtY1HH3rgC5s3TH1g86b1pGlphBcOQV5XUi1vrQC01NuTbFwCuBo0low/CeYyHT/G3AW4k6yIKqEXwXs+0eQ//2GbC4veGsydSxMxxt7VYqoqe48VhcGqgLKS1V6bnP8mEWYV2NXaijHAl0G+c13G3RNDtZw2TwLJMuCsjGJOVyV+qq81SarYNGf4Nz/S5R+9tU8rSF153pgWTwomJ2dyC1Gmx2NbeuSF3s5YuwhAq0xeTQ5VdbldfS9T87aQcUKAMYZ6aw4rpj5w/1cf/MLUzNbVAAfwfI9arf4Z39OP12veeOdI9cQX0qQEu8rv8mJ3MxFojsuQyXpuWbUAM/ekBHemwQPLx++u8yvvaXNu2XNDbuQkc6siY+lngeVaW29PzktcxcpSrMHQEz8zmeH5G95KEE/q7QnJYm3hqEzWpFQlTK7RbeGmZI85sLPAM7XubowmDhWbZ1L+zY92+PZXDpwOMakDtEkrz3PZ4gZGhbZMCCUVkCeF2+IAnNgKmO24ZEmLRFUZfOaNDOMZzkyqGUuaGoRQGCMeD2q1zyjljR1TVX3xvve9j5fcvPeElumLhI1uVDLFy/oCqluHqMr87TKVPp6dnNTeBZNXUvDjjQxVB6XyXKXZcwdumU+lqhmeO6P51fdO8di+GgSV+u7qo5S4fS0dwPP95XX2WJ09Xt3zUsnqRVwGNeV75e4UMvN5x3aGE+XWLeWWiFkpbVX6TLSvVSfWXkwuVYvYqsTD2L9nzQvFI2OlzWOhw9hF6q6QqSlDvWa5/0mPpWVR6TSm/I+Kq9k5OIY8GKzaS6XFWfysqNoVa62Cqz2osY0T8uPpzCeUs4I/vf/g4d/+ge//gbH/Vk/+7l27tiKE4MzJIcNhmO0mvFawWGXhyaAxbzGziKpjUkgbU2Y2M90tKsDOZYkUeYInd0uywNI3HD6j+Xe/M82dj9SgJlfrbikLVBTSJO/pzINLSq+7Gjyu2dAgJioGJzT5ZIZNTJynMXtxoriqYONi6R1n9HI4UCXgzDKJOaObbEqVLXR3tstaltUUeRGTyWcEyuxnnC43WIRQ2b9DOkp4zQtH/NI7O/zi70xx5CzgZR8uL1TK9HQGMwySKMtA5prcCIvO6u2tsMUObSpvSq4kifKiLWWpNFrk14or0DIysxWlzeSOodHw2Lhpa9Gy9jUB/sKbXolUOvpq2OHE8U5xYosxxTLf/6ZSGDXhiKiKRhcFsE0lk1l5XgSX7vcJUdHkoipNMpB7hmMXNP/+f07xodsbRCJbXhivEpz0vPNy2DwlX1Y/TrLluBVasOfYe6LCLCWq3VSmv34m82K3Up7kinONbU4q4C9kSm7JVSdiZbMIq8GmsGTgLkGOzcHvsp0IS01b3v66AamBX/ztaY7PC9Cp+7JFTn3isyNJyKRFduyNdEBzLO9a3/LPKnHAVVmcZ7MDXUK7NL+lAJlCKspZidZaNm7cxJvf9LooSdKvD/D21Bx+rfUzU3O7r5Knz77Kvq0FmAAALMVJREFU2kERPBYTo3R1uPxEIVWFsccckyprF8DPXZO08jOVJE8RVBpnB2rD8XnNz/3WFB+5o0Eks63XxhyTss5b5ODOL84ssBRivO5kMrHzterAV7HxxOti4f3b6PCJYDMHe5W5C3/cVhp7i9qUSr2KEdm2faLYTtvmAaiwCCsLQLtBTuMjs4WxxInFUynf+4YhWsHP/9Y0x+f9Utia8uddg7IFNBZJamEkIJUCPyuRNQJ05n/njovKhnbabKCRku7f8qlZ+cqWy6f8+zgWN8xON7nqyku+vGvn9p9Z6fRWHdJVdBPU29x/751dqeoHLF7qZlxky3uxBd/4fpPl/O1ywHw5yrgskiqrBCcLpUwFyBmoRTXwTJDacGZJ8m9+e4qP3N4gkroE9xhzl9KkDCzdlVyMZyjqvStJq6pUWQVssRrcEz9Xnmn3Q39dfE9m6XJQjyV2Jt+b9McpA8p8cH7hrJhKdrMSdNqsCnHMXbEV3zzPdKYKncJ3vW7I//PODptn49JZsZWsZ57mN3H2nrvoIgOj3C+3LuMZ26z81pTuS5K6vVqTNPu3lDJITbPSgASS1GZBqLNLa3U/nWo3DtzxxS92Z6bbX5/B89to1Htno1l/UTxcucFTBs8z+No9FoPlx7S3qejpXH+XMkRU9Xahzc0YcxeSREy4Jiol0YI/+ESLD32+QZRvJCkudheV6VTl4EynuUsWX2vG4JrdO1WGH2PsimuSM/xkLPZ1wD0G9K/B6lXZkvvCLoNpxzZuHa8dz/S4lQjjumuNyKRKHoBmO6UZU+xQSV6QJWy2x3dq0Rje/sYBB45q3vXeNon7sZLJV1FlPm5fEmefNUVkLO7Ogc4EUWrzuMj5+cqSteSVq5O1Avdxsgy5EAS+oF5rPNnt9t85NdVa8xivKRhvfdlr0DJOd2zfZRt1qNcS6kFC4CcEXoLvpdlGqgmeTosdg6szudVa97Hm4IodOJZ+N2MBpVQGtOAL99b54BcahEWzQgXQEwkdkbH2ZBvaWKe8LIG9CuRU3ivrYjMAi5LJC9kiVkuUrwPuNbFc1daV1/lvm2RuKiBePTCfiYxm2ShhTTWjKcuMp1UVFi8zndYqjJH4qeV73jDgdbcOEatqVjL7sLgnleeWtMLmQyMYpcLVtOT+uSlrW6LUMXiUQpQKwhR3TyCMBcMIhpElTiW7L9lte4Moff3rXrfmMb0og1/7gpeQJMMPyviZvSLtNHNZUs06qooTkgePecZMZEw+9lqUDO5+Ng9A0+x3mEKeKJkitUFo+OQ9dX7mt6Z59kjgaPmizO0SOl5VmohyT51qOWwhUybYfExvr+WHrwHgVYAWqxl6LWa+aJdPpWyuWvBfXggTG1ZVmDtn9fEmCbdLm7CmYPSiNawAtPvjotidJw/z3HvgjuO1e2L+27/o8K8VfPqehiNqlf28yZwVYbLzYSuPbvOUxApS4brjkmy+Ss7oKnO8pHBOihRutzQlBUnmgkUCdCqIEtiyea5/yy0v/mCzUbvoYb4owGfXbbXnj37wNy+9bPs7O2efbRo0ed35mgFjDmJKaVJIlLHXpvLfmAmw57XdbsaJ0PDxu+v8wv+vvS+Pt6Oq8/yec6rqrm9fkhde8rI8sgAhEragbB8W0RYEEdRxo51ubTdEW+2RYaZbcFTQEUUd1HFrcT5jI4vYKAgIdgcEBFkkIQkhCXkJSUheXt5+t6o6Z/4459Q5p+59LwsJAabP53Pfvbeq7n23qr71re/5rf+rGWs3K3DTqcGduOOpiRRsWA22LkOngSypMxO6wNcbuOC2e4tOUfi+AaBtABvPpUjpcLtsBDchzLbzxzY5ClNIn6g4cSlJlFs/mYhS606jS77JbBdpEmfGPc4FUAOW9IW47pNjoAT4zcq8NcnUe8Bg7426Z0q/PJEOp4hIoMu7pQQ6I6ZctacmmowSMK7JSX5A1IBazHFW/6Khu1au+fbnP3LBlFwyJcABoK17CXg0DK92LyrlScTcg258r4FMKZc2SmUXNW0quJn52qBPLgYOAp6wvwa4Bjc84F8fkuB+dlMK3FQD2s7SkTXO02Gwdezd4NGolnliDkxNJK14fGey2TDQapqQwpSxxNpe1G+TNg2mmN1YG3TknUjK7hFhXhtNbpIkILisO6KYXdrEFdin+rU14Jh5Ib7yiTEIAfzWYXL7M0z+oGTib0AOQVQWvtTlMhvJnAdGpD73uAG9PjrlSKBQyGHZ0n7M7Gyelj+mBTjL9FXB93y00DzrFvC1hTDKyshCzcoWcAFdAte49vUyB+DgDpsbWSJASAxC5R7d9XAWV36nGWteCBowd729W+tu3ZUhAXdKjtgBViY7R2AqKeJaTYz+NtjVTE5SbN7oTSNQW8sTXe1KEoMvO8gKKca2mZzUveZCleMj2hGExIxoQC8noLqTKxFQUobKhArTXBCoAUvnhbju8jFwAdz9cM5c+YD02FDN3ky+1yDX9CDUQdcXZ8IWQER0fqtuzyiPMxeAqIU4eVnvJCP8o0fPn1k9YIDzcDdnmaMfFy3eGBv7akGwUJ5SYoNU3Swdc5nrgTLb2BeFy9xa9ghG8LtHs/j8Dc1Y+0Igk4VpPaBt5iaOSVA4E0qmgW1NKussJKnJpaO/bZCn8DqlBNnf2SUaM3qS9EBEPYsnVhV5jI1VhUwPdE5AIGunEBWbQlSJCUDhT3kzOQBC1ToV2RfzJEodpMZx9NwQX//UGIQguO+RLGJ1zmUtcvU6kSnKcE9MybiGpic9CyC6jiKREZCEAALI+gxXvO+csZOWzn18+64RjmnGtAAnfi8IDXbzeM0lXvHUf4tGH/A9xkz9EapuZtrjJhr9WA1+BXriTkgTFmeyK9cDf87g769vxnNbNLjVFW8DHBbQVfxHYOluqeeEy9j2RDJh7voEYyeZocFFoJncnlBqhnc8PBbDT4V3W4JMl20vtbbU4UhAD9htTkjdRFNrbQN6cwFYLn0hAUwoT5ZJ9haJbEk0uBBWQrAA4QyoxTiqL8Q3PzOKT0bAv/05i1gfXFi3JKJtiUSxuZ6JN8BLMiHRB1yZhakHhMA7zj8hrETikp7utt3tDWzf9pjWr8xYBlFpPfzc4m1e4bhNzGuD71VRyJUhUMau8SoqUQW5bAXZTBXZbAW+XwVjNfUIk/LFOvPGfqYkkhYUJsAZwX2PZXD511uwfiCADNi2mTptFlS6O7GW1OtuR3NDuLo79QBQB+gEp44kSU1KnYfVlqPBpT7dSDAuUCdVXGtJo+hC23ljf9aNKHTyOJN1VjIEt51DKupQPYQdXqvMhpwz8JhB1AgWzgnx3c+N4uyTKmA8FYHomAytkNvEMVSTj7gK1KpAWAGpldEaTGBOyxgKdAKoloFqFR0dTTjrlMWbVhw7d9vjqweQzfrTHldvr0eeMEzuuXeAsPYPZ5qWrdy1/TfYtNPHw6uzuPvhACcsCXH2CVVkA45lR4boag3hAeAhNdMUdZvVExeiTEmEAMSX7S7ufyyLT3+jGeu3BhBBA1Db73XpX8XWJsY7LUcsUFM4ZkCbvRtKFqSDrupbBdZPLC2NDjgIn5LFhbVSGEJrlF2ffjYJyVN0aBOwzIZwZQpBosXVzAhElX+DSnEDFUrGSFmT6BYKEMGkaVHFo5Aqx8LZIb7196P41P9sxgOPZcFjAJ6SJ0KbEK0jouQVhAAiGa7V2Rph2cIqMgHH2SdUceKSCHc9nMUfV2exelMO55x0Cioh//CPbn904OKzj90rfPcKcD/fDyHGADTtGBnkD/6fB1addu3PCUphAMQCj6wN8Z1fhWgKIrzzjBLefGoZZxxXxaz2CDyU8RLO9QK1U4SABsCWIQ+PPBXgiz9owvqBACKwZtyOLLGWKR+7rkrlE5GYmexEhrp4E0eauICmDnitwj42+Im7I0Z+EExP13vncnuL9CQ0XTYieU8s8yGxAAwb1LAsKkrWwHIKQcsWW55w81rlSnIhAE5AqOoRZGooA0JN1EOBxX0hvv3ZMfzTDwT+9HQGW4Y8WWhH20DSOxdL//2sjhinLa/gvFPLuOT0CgoBIG1zHk5aWMN4qYwf3p1Db/+8B997wZt2DI2W0dma3+txZXvdAsDVV38VJ5157p6xWtv4Y6uL7/rTM0Pw83lwP1AamaAWUvxlnY+VT2YwtIdhzqwY7W0y7hqAsawopNAMwfptPr7ygybc8Isituz0pwC3NcFMkhmU7iaycI+0eytw63hui7XrKsUmpZqt9br4D5Ua22kbqJclnzVx3/Li0OtkDLiJXzEP6ixL3U3seUFiPUgtI/a2xLlgk3mBLZvqZJjRTcS6jJLldXco03EYiVVMbW9d1MYMrOZZHOhs4zjjhBpm9sRYt8HDnmFinEHJ/5a3lwAci+fX8JnLxvC594/jjUtDeIIhjAJUazmUynlMlgqIIx/HHXMa5s5Z8LmJ0fUPzZixaF+gu28AB4DPfeFazOiaMwnB5/Lq+OI9Q8Pg1EcIZo4qA0qTBGs2MfxpVQaZQGBhf4yMpydGEiE0A2zY7uHqG5tw8+/yGC0xScU0LUtsaWIShwmVRXsCbffWALeeTQEfUQ9y6koXW9rY4E4nO2jgmrqFuqeOBeokwQF7B7gzqTXBX3XZRXUXgpj2gtDtudPOKecuZIM5eW1619etg/tZ1wBiJigEcmLb1CRwVH+MznaOZ9Z5GB4mKtBbXjCIBQosxrvfWsI1HxvDeSdV0JYXCCs+wjBALcqgGmZRruYwOp5FxN6A1hmn3tExc9lPik3F0auvuX6fcLt3Da7G8iXd2LDxxYH3nH/iFWueeZrt3JG5YMNghErMEInA3EczApOxwJ9WUWzfRVEKCf76ohLyvpxTUB/Y+KKPL36viNt+n0UFiooT+6j1cCaWjXR3gz46Vm5lnVOHuuCY6kFtIKgza2tz5yRb5/dlD6XHXTOgcAwNOvkhXbPPLFcyhNRHIXLljdTtwW2zIud6t6iSJDKgm4CCQ/nNtTNIB0FxJcCpaoIjqCwFITh4VSDjCVxyTgUQwBe/V8SmbUwmTYRAjgIffHsJV/7tOGZ3R+BlirDCEHNfPmIPceShWvMwUelA4PXc2dR12hWTo9u2FFt79/mQ7jODA8C3v309Vpz2ltFFC3qXrtm8+7RVA3sQEZZMiJxbEBMYmyB4cq2HsQmKWZ0cXTM5BnYw/ON3m3DrfVlUoWukTWEtISkHDzWZ8RmLuZM8S52tk8gNy5piSRCb0ZN1Wnro1DBH1lhpZg47u9LFsDVJvo/Q6RkcxDid6BQXWvL/4EoRSu0Lj9R5ZAHNCZZ8sT9jFTuS17FwmD5xYiV3jWTGYbzUDpNb36OwEDBg8YIYXR0cTz7rY3SY4qgFES5/zySueG8JR3TE4FWigrv8pEBoFHkqRiZCUFiA9lln3T4+suX2jplH7Rdn7DOD6zG7twdHL+q77o6Va+d3bBh6946hkpp46MmgaUUID3hpmOH7N+XhEYFzR2r44e053HJfBjVNxbbj22bxlDNHs6hOP2NUmEAq6jI1UYye3O6tOPCGDh77vf1snbcEXEh9xjo2DsNbn5tqiNR624mjmRz6vUjmc+a1PbkkQlVesMyIehuYOBWu6gcSPfkEAC7vfFwQ5bkkMg0ncQbJFDchOIT2fGrGTpxIsheIIHIZgWLymCBgHO8+twIhgB/dnsM5K2r42GUltBABHuq7C1XfpyMcZUOGpuYm5FrbbxYtx12HcGB/4bp/DA4AN373WxAdS6vz5nTe9cILg2eE5fKcaizDIY2tUxWUU0eaUYE5szjWbPRw2z05lDixmLsRmBvlVxLjitfgppbuTmfL2zqc1kuVejYndVqdED1xtBJ5qc3WihEt9nZeW6ztTj7rL7BGXlba4MJrnJCBOnZvaN+3LtDk4mvwffIzZmKptXm9FrcJQxKNDg1zPg8KjwJz58YggqCtiWNpf4SAIKnNJlQBIs4Z4thDGPmohHlw0v1Q57wll/qVhycyLY1DYqcb+83gAHDNpy7BHx56uvSly99Wu+aG2zC8cTS1hbFtFnyByy4q48sfm0A5ktkcP/l1zqIvhwNhaQHzgAq8IUjFd7veStti4DC6dcIagSYNNqRPpA0E89Ze5Yz9kuQ2W6dt4imm1pskJkOiPyySp8R8aH9efYZzkZTFltuYUsz6H5jgLJXdSy1vJ1SJYxW7AkFNZKJmbnt2qn4eUS9u+W0OV3+viEoElKsEl11URtGXPh6zd/IzXHBU4240d3+gNrSLlDp7lh8IVA8M4ABw0rIFiDl/7Nwz33DKUwMP5SrVSK0xlVv6e0JccGYZV/3NJFqLHK0M+NilJaz8c4ANWz1Jxw569MExwNao0qGUSayJ1tewWBiu/dthSKQSHNKgtsHeCPiOpYA426dfHxjSnVOc+hITCuG0c0wFXOms+nSCspYllKjiVDrKECSxe+sWJFzIvvMyDsV4O6VtnCZ+Ge1AYk4hIgn8pJ4LISCCg/gE67cyfP+WHF4aYgAT+KfvF1EJCS48s4wFXRGoiEG4p/aYI5cFgvbjy7niosdeTiL3AX+y0NSEGqdX/acLT//WcUf3VmikWwHEQBhjxdEVfOeqEXzl4+NoL8bgkTToL54d4V1qZp2UAkuAQFywa/YmVl6lZm6k6goCdVrcPKaxnCh00uS1e8s3PytVyWM6KicHhG03PBaWHq/bTpd3Sz/bFph6F77jvueW+57rfEwoN73t4rdKMadyOnlqG111yx6Eyve//H0Wz231Ejvu0ISHq25swie/0opH1wZgPkcmiJDPcHAOePn+Stfss79VKMZXFYt7d+hMNfZbg9vja9d9VRTmnPJgd0uGLZhRPWXBzC2sXK7iyNlVfP1Tozj7hCoYBIRqDS0EkAmkI2DzTg8bt3kwotZtq21rb5+Y3vGJzZu4VhOb1dNA11qbWNqcWNvYxXiMTifJ9q4dHKqwD1L2bmNRQUpzJwV/nG3rZVE6o6jhJJgYVqqfIJPUcwNriHUh1tnFE9dt6iJNFpN6S0tienWTW3R9G1Dg7kdzuOEXBby4y0fSToNQxBHDxi0+ntvKsPTICBEXuPfxPCrxMbX29vnX0XjLl4LiimjvSJx6HLBE0ePsJbw2UZ1/bd8ZL9XGxyrX/PPdk/TCM0KctqyGqMKSthfygHCISGDZkhreeloF9/85gzAWxprieCQke8uUpvpagunkhcRk5QDVTUNrVBKZkKkqxtbLjrR0SS+ztwMsWWMvhBt/khB02qRiL7NCZrW3OwFmUjBIlV9oZGFRH9KxI9RKWoZyxRsXv2ZymfhLFKvr10l4rZYjnFh6nlh3HKn3a5zg7gczWLU2A+SIFR2qToYn8NBTBXzpR8Db3jSOm1d28zcum39NT8/i6x9dvaeGlzledpWac95yCU46dmP5mKV9d+yqnCP2jDTh+CM5eBggDDOI4gBxHCj7JkMcUyACli8MsaQvMrU1DFxgU4jW3nZ8t9ssKuV2T+nvOo8htZcbd7TNZjbgUQfqFArrMLz/4iQdGpuYAu1lSnqbzB0jSwA75DYtR9xe93Xd2izJYpdX5ikZYkcdppthCU6ssFez/4QCawc8PLk+UCdNe6R99QgALwN4OTy+roDWgo/L33u8aJ/Zf8d9q0fKb7/w0pcLz5fP4AAwFi1BT1Pz87HX+/GLz8t+rzR5Fy1lyypOXOVuihiCUFAaQUQCS+eGWNIb4Znn4LJXYj1BorNNKGyjQKqpdXfDgpr6X5EUI8MFsQ1u+7xNaWWBu91+4dw2hqj/r4vdJHNKe73F0jajS6DKi12yqrDWWVqdazO3QOKMhKzTTQDIOhQKtLpokM4AAgEnhsWpnlTqiaW9XwxYt9XH6hesBrw0HUBHgAwDzRZRaD+Xn3XKoo8//WLf85353QcDmi+fwQFg8ZEn4KlVtDY+c8WPT13GPlsszkK1BoSRjygKEMW+eshWdnHE0JLjOPWEKjraYsCpuGWkCiWuO94BNXWBPO2kspEjCA1sxilNbAwnpIEsIbZVqw7fUy+wcC2wT8OdODZifLudSSpmHLq+iCklkbAw7Akj4MSOJ+UlSGNGV9Vq7Ye9s4wJ7B4hePCJAGMlVV4vKYoaADQDsKx8FgQzO2bisedaPptvP+PHi2aitujIEw8GNA8OgwPA8mP7EZa3xIS+c2M82TpeGhxqKpfKAGGqTgoFU9FEJObwcjGWLAjRWeQYGtdgoAm6CEnbvU2siQG8cAOiLHC78Sf1IHaeUW8OrNPkabSqMGdFqHXu6gMeWmoQoKEuT36HDns1V5ltddG2bi4EqL4jEPtCISaeW7X046prGtG3T6HFuczAITp3MykcpMvAcVBOZCFNncDMgKEJhnUbAiBisvov8RS4PRDqySz5OEZXVwEfuHjF+HvftmLj+hdeihfNn3ewYHnwAA4AzMuDYPedrPX0T5Qr7FuTI/e2UzGIXIYkB11KFq6KqFvxKykK1TEn6cI96TBYp688TYHbkiiuXCF1Gl3Dpu4CwBQMbU0s0277fensUDfsQCv7IczvMO56qwqtnqxqYBPLHq7750DnbBJQKPs3V04bqyoVTWzhcOZGOhFC1jGEtJtbjE6F/FbN4rKplp7QaMmpwS1DrBklKJIY82YV8Z/ffeaei8878dM7do/cOaOj5WBC8uACnPqdAIByaeznufa3esVq5rpo5NddlL6EOGYq+oyAEo6o5mH+rAjzF4R4bhfUATEz7KQyFTXam9lyZAqTYLocRH2KGqljZ8Pu9ZnxtolNr2iMX9KQcfe1SqGwviZZYIFXJzcQACZDypp8JsC2Jp5qM6HWg8u81+lAngBbafOE0UFBCJeZ+dDll+UdU1CekioyU23DRmUK9pkENvNBqbRM80igZ1YLPvm+0wffe9Fp/6VSDX/+hsV9BxOOyW4c9JHLN4PS2k+7e0+/clftmMHRyRi10EOllkGtJjV5HDE05YH2ZgGPKnArwawKDbgZOlZdbwN41AOeGNKoA7elpRPpAleONJQy9rrUvjps/TIlSuKudxakXlvhr9ATR7hhsWaZrbuNVtdOnaTHpmNF0b0sU5YVkVqW3t7aBpBNqIZHKcYnVcIw8eEzDy0+UGQcM5vK+Ot39A1e/FdvunKyHP60ra15n47R/o6X5eiZbnzpS9ci33vMU5t3ZgZ5jZzOoygHsKR2Yb5QwxPrCH50axG7RrOAr01HHjxKkKUqoYGqsFiqa5O7CQ2U1gdZpWWJBndDq0qyjKTeu8v1vMC+EzhBVzrAKh2IReqdQVMFV6UvsvpgKcgLzo1iSLZB8lvVMuev2Q8kS6z12jwDWbfbuVaFe+cz/9v0bbJLZRPKkQliBIUYjz2bw8D2Akg2g5aAoCvD0V2I8c6zu/d8+KLC50n0zE+7et50qGB4aBhcjy/83fvQmc3dNBktu7wqloyPTvgIVZwvAVCqEdQiO2JQ9ZAn2msp6jyWTlsRKqawrKT19/TgTk4aGkw4U2BzwQJ7of1U93qqIfZxWyfa3npjW1HcokFW4yrN3FYp5XomN9YS2cDVZeyY6wdV602fH6G7KeuQV9Wm0PeAfEa6sRkhyDOBoh/hjOWzx888rv/yzQOtN3XN+eihhODB1eCNxtHzCI/RerNPeOSL6s8EX5X1vRi1MMbvH81hYDiQGk0VradITS4bgNzTkmRKQMNlTViyBCl2RArkNnvZoE6xqD0abr8fx8g2nCQLiLtea+9Ehys7t94PMyGVTGwZV5T/hwC6RiGVlhUIofraA0K1CJGbEuiIK+NU0un00ohOCAcnshwzp+ri4LJADxMMYcjQ2x7hnBUl3P90iDjmqEXAMYv7KnP7ev52otp827bdlWmL9hyMcUgZHABOPu0SdLXsiTO5ntta27re39zeVwn8Sdz/pI/fPNKMiGcAz9QY9Igbc+Jm7Bhw11lVtHRJJwmTqcFNLcpuyNIWzqY1WZP9A3TdsL7cSUHbl486etztRIbEvo1Eg3Pteud2jRQ4LC07m1H5PqZqGUUcy/d6ndOGUD0LQRHHFFHkwyM+zl9RxdnLR8DLJRyzaG5lxqxZ7+/v7bxt045y/Dcfes+hht+h0+D2+M73bsc1V54qsuyidcWWbZsfXFO8+MobI6zZ2gQEQaK9qdLeGQYEVMBn8uFR6SeQbZsV2JkBNLMAbqeMJW75tC0cBtx2vRNXF6c1uf2+/jVISm83THxooMGnfJCp19Hpt0+0uNo/26xuTDNqY6GXyeW6lo22Z7vD1e82YdhNf/UxjmOKjmaCJXNqaGk/suTl5l72nvPeedt9T67hV3/20IMbeAUkih5d8z6C8ckPiFz+E5uDtnXPe/nb2rK5nZ0VzhOzBwEcr6WeUHoMxlxoZ+ik4kocm/ZUGtucIwfcjqa2dEoDReKMAzF5v9xhJ0AQa5mzjYY0gXTOmDJM0Ppcd2IjAIhKViAK15oApL7nEEInxUvPEAGT54ALcG7MhEjiwhlEBNTCDI6cO3/0M32zPnbEwn+55XNfE/jGFz70ih2rV/T0TJQFClkQQjrEP1z/kw8Ojkxef+8f13Zse2kE8BgYJWjygKLHkfdkVnaGyT6dtgWFOiZAkrKW1Fsgkh11wF5fe9BcBCrsFe5E1TCnYWG3nITVOzMpJ6HDbt0QW0Zt9jP7RKzXSYUAajO+1V9IrQdSEZXO8XBTzexCqXK5qCcFlX5G7Iwpq5Wk7uQh+zXFCIIIGT9E4IXw/RCMxSAIQb0ueMUTh0Ca/z4W/k05Noj8rM+8kpB75RgcAIo5dUQBfOp9Z9yUCXzvyL7ua7/zs/u6duweh8gESBrZaRMhU13SLElCLcA4Vg9SD2jrKQG2ezLNcBg+9dreKmH1V4C+BZA4axpNZm1PpyreYJw/ycbC+j5iHP1anljHQWfPKycouL7ghOy5aZerIJAXIY8pBJNfIudHNVC/DUHbhYO59jd/QfDwJi/oPOTHqtF4RQFuj94ZbRgenfzJxy99EyE8/Oo3f/q7rl1DZUSFnIyipNK4EngCPjO1ON0k4AZSBI1w5y6oAzeZeuuG5sC96ZaDPKYMSbE9mmobDfjkwlBXOrEsK3pHnFh0SHBDGGcY13cUbXnhBJwKxEyVeYO8qzHKwUFASYyATSLINsFvu2jQb3nrlYD4CTtM4AYOI8ABoK2lgKGRiR9/6KI3Rl0t8Tfv+ff72+58WHaGCJiUKIGnJQqpMwcm1g9MD9hGAHFZPa3Bp/nRFpu+Uvr7QP9XAnKhXflqeTqQJbXjWgohkXES3JQIxJSoMFsVeQiAMQ7OCXyPY+32WVh81NuGc83nfh7gP6Ps0Hgo93UcVoADQEdrEUKUf37ZO07e05TbvCDf0vy1lX/4k5/xBHIZisAjsjS0pbeRAnXae5f2cDunMXVu63HtnvTk88RdIk15phjOoRrO/07fOdL/2oorBywjCYzMsT9ohwaI1BcmcxXrIUOM5S0iogIs1q75GLlAIGg5IxwcwD/04s0bxXjxt51twSE9NvsyDjvAAYCQHH/gsfV3LjvugwFh60pzW8mNq//yFwJRoR4zEz73M4CdkeOMxJZsam4lJ7IBsM2XNliWSi87DEaT+p/oXGyNtqhfnpYjboIzcbyjyfckwEby2k4qplSgUiUAaeH59pMFyy/45IXnL/zn6sSLtWzz3ksbv2LH69UyHntiDfL5XG79xq2zN21Yd+nQ7l3/Y8eOHaCUQQgi22dYDGwmmEQ76qC9eIlzQ5jP1AUzwf0u6O+DsSMnOZzUtl+7r03RzkNrRdGWEr1Mvza/W0uLeitSOgUOFrB1wJXTG8i22hBz2QgB5RAC4jhGZ+cMzOju+m+LFs2/pal19tYwrJTbu/evvNqhHK8qgOvxi5tvR6GpnY0Pv/SPg4ODVw1s2comSxVEsQQ5UA8uwIBZeuuE68XTbVYaHAAnY05PytIWmnSFq0MOcGG2aQBwWbXaTaqGNgMCmEo5JeB2vJzae2mxOfRvMVGaABDFQKUmABKge0Zv3N7R9eWjF/deM7BlMD71zAsON3TqxqsS4ADwq1/9Gu94x4UYGhr68sMPP/zZx594KrN9xzAq1QiMEXiMgDECRk3gk2QXAc4FONevdfkVl8mnkK/yoJAGALcDtlJsngD3IAA8YWxqtRy30/Mc51a61uK+gRtJ2CxU4JTNymZySoj0GHtMwGMAwBFxBk5acOSiZdUTTlzxjba2jqt+f99vcM655x9uyDQcr1qAA8D4+Lhm3q9u2LjplF/cfCcdmyifMj427BXyAQKfwWMG4JzLLmBRLBDHAlEk+6AL7mbB2PNMx3TmTFpdR1DC0hbIHTanKQZPwLz/ANeRko0kSwJua735zZbTBu6+wtpXO/k4FgRRJFtnxzEQxcSUUibKD+HFCLwIHe2tEVjukaXL38J7ZvU9wrm40vMYisXpG0EdzvGqBrg9fv5/74Dn+U2Tk5P/+8UXt7xrZHiQEhEiCLxEZsRcIIoEamGMWigQxRxxXM/gwN71uK3FnXgU2oC5ExBS50I4IICn9LcpAmoYvKHXEua9PRrNP2RKmTwucUwQRgTVUPaBDyMtVeSHKeFoa82g94huPmd27y/zhcJHojAcX3r8q5OxG5zO187YsPEFZLPZzm3btl+xatVfjuHRxEVbtwyAEAbGKGIOVGscpUqEUkWCXE6gxF4YDQ6tp6WJYfEGDJ5oc8XgBwPgKTDr98RaTxz9LUxkZGpMPcEmihSAWo1iskwwWQGqNaHuhBxhGGHBgnmYNbP1jmOPXba6q2vmDdVqdfeMnoOfWnaoxqvCTLivo3/BPADYvWvntv9+1OIFfQMDz2PTjO6LNm54DnE4CkoZJsoMlSpRTG4mpCbWW5pbXDOZZTu2kn+TEmnQb0Ti6q5zHR7qYcsRmDqJROty9dpcyW5hIP1eT0R1fInH5PEYLxGUyjFGJ0JEcYzujhYcu2wJFszvv2PhooWfnpycHGhtn3kYzvrLPmyvzTE2tgceY/1btmw5tlopXTE69NzpQzvXYXBoAqs2+lg7UEPAOLIBSZxFxtqCpGywncuYHJAUszrBVZZMsVn5UDE4a8ToKk3M1uXpbg0ibSnhxjVPCOBRgYzPkcvGYJRj9aYMnlhbgR/ksXzZYpx0/JKVxULhhr6+vmeiKNrQ2dlxuE/5AY3XFIPbo7m5HQA2CCE2AFg98Hylp79//g82bFjbv3NkLRuslLDm+RzmdelYcWMr57CSBFJmREDJEXUL56r7QeK9JLoeNlKml4O4cwnT6q+2+3na2ltPOkWiy40nU/5Akk56ECT5DGMC3W0T+POGGoYnunDyihPjBfP7N8RR7e/eeMqKHQDWH2pP7aEer1mA66FOwPq4tns95/F5ldA/4kP9x9/6+z/+rnnz9uGCR0vIZWRehwBU8wljE5dmRFNuIWFBBWoKCQxdRSHZzorJNj/GeiK2U584F0M6tMAZqe+1rSLuhNcFt83kbu1B9bXKQaPt3bWQwmMxsrkseLZ/8u0X/dWYEPySmT292xijA691YE95fF/LQ+YNEgoMtzy9atOKPSPkhy9u2RDt3L65fWDrrqYwiiGEQLkSI1InO44FIg7HNJYUFaJWv0zLcsIYSdbL7KJ6ieJaYYj5ruS5PrPekSgqc8nNYjJMra0rTMVoM2piuAEpSaKYIIwp4hiohUCpIhu5AhTUbx9fevS8PYsWzvNGSuLDmcKiR/tmFUejCNz3Xz+wOOQ5ma/kIISCEMI3bykPd3bMvqero3nhL/7l1gWXXHLpl49ddsKzs4+Y+fTMGa0VTvOIohgARxgLVGoCtUigFguEERBx4/a3XdRc6XbOBdImRmOi0yLYXS9SC0iDN8kdIhUXQlLAT5MrpdIZIxMQOAKfI/BjUCoQxxyUxOho80BYrtLU3PX0iSe84dm3X/jOL6984NcLvKBlYW/PnHs6CuPDhJDXFbjrjvPrcWwe2ALf98hd9zyEGZ0ByxfzNz73Qmnh4I6BUyfGdrGxiTFs3BajXI7hMQrGGAJPIBsQZHwCjxn9CiHvDx4l8D25zvNo4lFN2Ns6uprFKTWeV8/U9q9LzDB3D8nYvgeZm+rL/FTdY0ffcTwmkAk4cpkYGZ+r9LIYghBs2ZmDQAv6ZnfH8+fPeGjXcGZ9qVT5eEsBcV//G8F5JGb2zDncp+iQjte8Bt/bmNs3BzB8GO0eGvnIyScGbUNDw195+on7g9LEqth/tri8NBEcv2d4J9YNTKA5S9HT4cFjFL5HEcVAVBOIVGlieCo/kdDEAWTbyKXyFom1RjOunujqnNOkIZR1Q+CQ8wQQmUUDIRKGDnwOSqW3sRJThCEQUcD3BHLBJAq5EobGu9HePhvlWumJ9durTx69cAFbvuKsWmtb+3+dVasN5/Mth/uUvKLjdc/gexu/vOMPAMHpiMM3Z/yRSx5dM7korkQY2rEBxRzA4xpGx6vYPhQhjBkKWYZ8liCfIchlKDIBBWPUyjTS1hcZMsCVk8ljBIHPEAQEGVUuG0QycRSZcg+2udD3gIwvkM9yFHMc+VyEjF/DREngxZ1ZlKoBmgoButoJli2dhUIhwvPbZjzXO6P91kKe3ssFVvbOP+twH+LDOv6/B7geIh4ECM7bsiNcsHPnKL/11tt5/7zueb09HV/Y8dJmrN4K/PvjuxCXhtDTStBapGhtzqCQ88GYLjxP4HuS1WuhQLkSoRZxEEIQeBS5LEM+S5HPAoEPtR1QqsjtBdSkkkjAMwbkMxyFbIj25hAz2ifRMyOHnRNz8PRzWRwxqw/V8vC1PoZeOOvcC2iuWKQ79+Q3guCeuUe8Nu3WB3u87iXKvg7CugDgHv1+dGQ3PD9oHdnz0iOdHQK8CWH3EUd9pjng57bmOAJPYO2aZ+DTMgghGB2P4XsM2UwEKkJMCI6tIxVUqgKZAMgGFICPQpYh4wlkA4FcJkapCuwYpChXBAqFDIr5LDwPGB2PEcZAV2czlh93LIp5oLWpiuZC7b7xgco3i605/8iFR2F2b8/KarU60t7dfbgP4aty/AfApxgtrZ0AMALgXwFg1YYdEMA6T8Qzsp7gPI6w/cUXgDgCATBeIqhFUXjWGcu/GNXGzx+dqIUjmESWBWgpyPDepjzDzE6G5oKAxwRam6rIZMZRIS2IeeC3tTb9Zue2NV/MBIEPIkuzZbMFzJm3BNmMh2wQ08AXO9/QhheOP3nu4T5Er4nxHxLlII4X1j8CADNGhne2jE5UxO8en0RzNof2otTnhTzDzA6GYl7ardubK2gu7sFvH+wAR54c0TNjVAix87xzTz3cu/K6Gf8PEZ91qtQGq7UAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjA6NDU6MzMrMDA6MDBLGUSMAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIwOjQ1OjMzKzAwOjAwOkT8MAAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 65415877
{'hecke_orbit_code': 99079191835709349, 'n': 1, 'trace_an': 17}
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id: 65415878
{'hecke_orbit_code': 99079191835709349, 'n': 2, 'trace_an': -5}
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id: 65415879
{'hecke_orbit_code': 99079191835709349, 'n': 3, 'trace_an': 0}
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id: 65415880
{'hecke_orbit_code': 99079191835709349, 'n': 4, 'trace_an': 21}
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id: 65415881
{'hecke_orbit_code': 99079191835709349, 'n': 5, 'trace_an': -17}
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id: 65415882
{'hecke_orbit_code': 99079191835709349, 'n': 6, 'trace_an': 0}
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id: 65415883
{'hecke_orbit_code': 99079191835709349, 'n': 7, 'trace_an': 12}
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id: 65415884
{'hecke_orbit_code': 99079191835709349, 'n': 8, 'trace_an': -15}
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id: 65415885
{'hecke_orbit_code': 99079191835709349, 'n': 9, 'trace_an': 0}
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id: 65415886
{'hecke_orbit_code': 99079191835709349, 'n': 10, 'trace_an': 5}
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id: 65415887
{'hecke_orbit_code': 99079191835709349, 'n': 11, 'trace_an': -2}
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id: 65415888
{'hecke_orbit_code': 99079191835709349, 'n': 12, 'trace_an': 0}
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id: 65415889
{'hecke_orbit_code': 99079191835709349, 'n': 13, 'trace_an': 8}
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id: 65415890
{'hecke_orbit_code': 99079191835709349, 'n': 14, 'trace_an': -4}
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id: 65415891
{'hecke_orbit_code': 99079191835709349, 'n': 15, 'trace_an': 0}
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id: 65415892
{'hecke_orbit_code': 99079191835709349, 'n': 16, 'trace_an': 33}
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id: 65415893
{'hecke_orbit_code': 99079191835709349, 'n': 17, 'trace_an': -10}
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id: 65415894
{'hecke_orbit_code': 99079191835709349, 'n': 18, 'trace_an': 0}
-
id: 65415895
{'hecke_orbit_code': 99079191835709349, 'n': 19, 'trace_an': 32}
-
id: 65415896
{'hecke_orbit_code': 99079191835709349, 'n': 20, 'trace_an': -21}
-
id: 65415897
{'hecke_orbit_code': 99079191835709349, 'n': 21, 'trace_an': 0}
-
id: 65415898
{'hecke_orbit_code': 99079191835709349, 'n': 22, 'trace_an': 8}
-
id: 65415899
{'hecke_orbit_code': 99079191835709349, 'n': 23, 'trace_an': -15}
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id: 65415900
{'hecke_orbit_code': 99079191835709349, 'n': 24, 'trace_an': 0}
-
id: 65415901
{'hecke_orbit_code': 99079191835709349, 'n': 25, 'trace_an': 17}
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id: 65415902
{'hecke_orbit_code': 99079191835709349, 'n': 26, 'trace_an': 15}
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id: 65415903
{'hecke_orbit_code': 99079191835709349, 'n': 27, 'trace_an': 0}
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