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mf_newforms • Show schema
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{'Nk2': 4368, 'analytic_conductor': 16.10752143156719, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [273, 3, [92, 157, 106], [3, 1, 3]], 'cm_discs': [], 'conrey_index': 79, 'dim': 6, 'field_disc': -432216027, 'field_disc_factorization': [[-1, 1], [3, 3], [4001, 2]], 'field_poly': [49, -77, 121, -14, 11, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [49, -77, 121, -14, 11, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504149450293521, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '273.4.i.b', 'level': 273, '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': True, 'level_primes': [3, 7, 13], 'level_radical': 273, 'minimal_twist': '273.4.i.b', 'nf_label': '6.0.432216027.2', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{1}q^{2}+(-3+3\\beta _{3})q^{3}+(1-\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '273.4.i', 'trace_display': [0, -9, 27, 38], 'trace_hash': 724320547356148042, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.047', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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1775, 0], [22624, -3458, -3458, -22624, 0, 2207], [-15548, 0, 4168, 0, 1186, 0], [-811, 0, -6123, 0, -2410, 0], [-16111, -9055, -9055, 16111, 0, -1365], [0, -9498, 0, -18576, -2669, 2669], [0, 5944, 0, -449, -206, 206], [0, -6154, 0, 15541, 6015, -6015], [-29411, 0, 2801, 0, 299, 0], [2206, 0, 6092, 0, -6783, 0], [0, -8247, 0, -871, 956, -956], [2635, 761, 761, -2635, 0, -3795], [637, 0, 11815, 0, -912, 0], [0, -2457, 0, 18585, -3688, 3688], [0, -9708, 0, -133, 3438, -3438], [-1517, 0, 2925, 0, 2304, 0], [2159, 8507, 8507, -2159, 0, -7168], [0, 3486, 0, -28243, -1312, 1312], [25346, 0, 4750, 0, -1280, 0], [-12430, 0, -2934, 0, 2602, 0], [0, 7332, 0, 26673, -1514, 1514], [-4515, -4735, -4735, 4515, 0, -9516], [-790, 10337, 10337, 790, 0, -806], [34010, 644, 644, -34010, 0, 3898], [16941, 8017, 8017, -16941, 0, 1438]], 'char_orbit_index': 9, 'field_poly': [49, -77, 121, -14, 11, 0, 1], 'hecke_orbit_code': 4504149450293521, 'hecke_ring_character_values': [[92, [1, 0, 0, 0, 0, 0]], [157, [0, 0, 0, -1, 0, 0]], [106, [1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 11, 77, 11, 11], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-7, -1, -1, 7, 0, 1], [7, 0, 11, 0, 0, 0], [0, 18, 0, -77, 11, -11], [-126, -128, -128, 126, 0, 7]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-7, 0, 0, 1, 0, 0], [0, 121, -7, 11, 0, 1], [70, -7, 11, 1, 1, 0], [70, -110, 18, -10, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '273.4.i.b', 'level': 273, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 4368, 'analytic_conductor': 16.10752143156719, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [273, 3, [92, 157, 106], [3, 1, 3]], 'conrey_index': 79, 'cusp_dim': 216, 'dim': 96, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 549822923025, 'hecke_orbit_dims': [2, 6, 14, 22, 26, 26], 'label': '273.4.i', 'level': 273, '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': True, 'level_primes': [3, 7, 13], 'level_radical': 273, 'mf_dim': 232, 'mf_new_dim': 96, 'num_forms': 6, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 149, 'trace_bound': 2, 'trace_display': [-4, 0, 16, -4], 'traces': [96, -4, 0, -172, 16, 48, -4, -240, -432, -12, -16, 0, 104, 92, 168, -668, 260, -36, -304, -1904, 0, 240, 352, -288, -1308, 0, 0, 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-190728, -6864, -513440, 548848, -2796, 114300, -189488, -31968, -104032], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 215931
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '273.4.i.b', 'source_level': 273, 'target_char_orbit': 9, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '273.4.i.b', 'target_level': 273, 'twist_class_label': '273.4.i.b', 'twist_class_level': 273, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 215932
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '273.4.i.b', 'source_level': 273, 'target_char_orbit': 9, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '273.4.i.b', 'target_level': 273, 'twist_class_label': '273.4.i.b', 'twist_class_level': 273, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 215933
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '273.4.i.b', 'source_level': 273, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1911.4.a.i', 'target_level': 1911, 'twist_class_label': '273.4.i.b', 'twist_class_level': 273, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 215934
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '273.4.i.b', 'source_level': 273, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1911.4.a.j', 'target_level': 1911, 'twist_class_label': '273.4.i.b', 'twist_class_level': 273, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 626275
{'charpoly_factorization': [[[49, -77, 121, -14, 11, 0, 1], 1]], 'hecke_orbit_code': 4504149450293521, 'p': 2}
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id: 626276
{'charpoly_factorization': [[[9, 3, 1], 3]], 'hecke_orbit_code': 4504149450293521, 'p': 3}
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id: 626277
{'charpoly_factorization': [[[123201, 50544, 30213, -4590, 585, -27, 1], 1]], 'hecke_orbit_code': 4504149450293521, 'p': 5}
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id: 626278
{'charpoly_factorization': [[[40353607, -4470662, 33614, 9751, 98, -38, 1], 1]], 'hecke_orbit_code': 4504149450293521, 'p': 7}
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id: 626279
{'charpoly_factorization': [[[4272489, 1318746, 367771, 16256, 999, -19, 1], 1]], 'hecke_orbit_code': 4504149450293521, 'p': 11}
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id: 626280
{'charpoly_factorization': [[[13, 1], 6]], 'hecke_orbit_code': 4504149450293521, 'p': 13}
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id: 626281
{'charpoly_factorization': [[[90801841, -15894372, 2543999, -60758, 2293, 25, 1], 1]], 'hecke_orbit_code': 4504149450293521, 'p': 17}
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id: 626282
{'charpoly_factorization': [[[3204578881, 365863967, 51337290, -1205465, 22098, -169, 1], 1]], 'hecke_orbit_code': 4504149450293521, 'p': 19}
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id: 626283
{'charpoly_factorization': [[[11277802809, 595871367, 34456837, 55286, 6395, 28, 1], 1]], 'hecke_orbit_code': 4504149450293521, 'p': 23}
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id: 626284
{'charpoly_factorization': [[[1429589, -7719, -274, 1], 2]], 'hecke_orbit_code': 4504149450293521, 'p': 29}
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id: 626285
{'charpoly_factorization': [[[2582799337881, 35052654399, 665358583, 640520, 35735, 118, 1], 1]], 'hecke_orbit_code': 4504149450293521, 'p': 31}
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id: 626286
{'charpoly_factorization': [[[35972633202961, 346224326994, 4237946645, 3278812, 80527, 151, 1], 1]], 'hecke_orbit_code': 4504149450293521, 'p': 37}
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id: 626287
{'charpoly_factorization': [[[-5892039, -64061, 66, 1], 2]], 'hecke_orbit_code': 4504149450293521, 'p': 41}
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id: 626288
{'charpoly_factorization': [[[-349639, 39375, -598, 1], 2]], 'hecke_orbit_code': 4504149450293521, 'p': 43}
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id: 626289
{'charpoly_factorization': [[[113153597967424, -1599987795616, 15369084768, -81306248, 314712, -682, 1], 1]], 'hecke_orbit_code': 4504149450293521, 'p': 47}
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id: 626290
{'charpoly_factorization': [[[24055993805481, -43043568216, 2367508873, -5710990, 226865, -467, 1], 1]], 'hecke_orbit_code': 4504149450293521, 'p': 53}
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id: 626291
{'charpoly_factorization': [[[226911713560921, -1424473230196, 13295727317, -2798182, 178085, -289, 1], 1]], 'hecke_orbit_code': 4504149450293521, 'p': 59}
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id: 626292
{'charpoly_factorization': [[[929348211655369, -3003647066464, 27297734685, -4119770, 431457, -577, 1], 1]], 'hecke_orbit_code': 4504149450293521, 'p': 61}
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id: 626293
{'charpoly_factorization': [[[29921545463481, 472033271346, 12036033937, -61460548, 790215, 839, 1], 1]], 'hecke_orbit_code': 4504149450293521, 'p': 67}
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id: 626294
{'charpoly_factorization': [[[183869749, -64474, -1039, 1], 2]], 'hecke_orbit_code': 4504149450293521, 'p': 71}
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id: 626295
{'charpoly_factorization': [[[50777153904481, 1275142143123, 28929427703, 91914616, 367303, -434, 1], 1]], 'hecke_orbit_code': 4504149450293521, 'p': 73}
-
id: 626296
{'charpoly_factorization': [[[3129499196473329, -27433865058873, 170004351181, -506018886, 1097201, -1260, 1], 1]], 'hecke_orbit_code': 4504149450293521, 'p': 79}
-
id: 626297
{'charpoly_factorization': [[[-41702703, -546529, -836, 1], 2]], 'hecke_orbit_code': 4504149450293521, 'p': 83}
-
id: 626298
{'charpoly_factorization': [[[132049603754462601, 198639307260834, 584793748843, 296571644, 1166003, 787, 1], 1]], 'hecke_orbit_code': 4504149450293521, 'p': 89}
-
id: 626299
{'charpoly_factorization': [[[710857157, -1429974, -267, 1], 2]], 'hecke_orbit_code': 4504149450293521, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 2, 'label': '273.4.i.b', 'level': 273, 'portrait': 'data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAAC4CAYAAABQMybHAAAABGdBTUEAALGPC/xhBQAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAAABmJLR0QA/wD/AP+gvaeTAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAAB3RJTUUH5AsHEgUHV7fsZAAAABBjYU52AAAA1wAAANcAAAAQAAAADnCbpecAAIAASURBVHja7P13vGzXXd+Nv1fZe089/faqK917VS3JspqL3AsYY4MxGEwLxSSEJE9+ryRAHpIADw7ghB+EBALYxhiwwcY27kWWbFmSJatLV+32Xs89dfrsstbzx9pt5l7ZwOMgTDIvj2fmnKM7M3t/9md9vp9vWYL/c/uW3T766XuQUqx7cv/xSZtYu3HWw/ckjxzpcNsLZsQtVzYW7340YePs0uwNV5yyT+zfRMWXrJvt0agnwsidq2DPzW58GcAGYAXoCyGe76/2bXvTz/cH+Ha5HTx6FuASY5J1FmF6/ZCPffyv2bnxNNs3LFFRPodPfjxati/85X53+bu0sNGpsz7rZgRRb0BnNfZPnVp434lTApEMfvLERDc8c26BDbNwfBAy0Ui8QXz0M7/7gb2//MzJT4jf+ZWf+s1zp478VSV+4pHu6j5lCUAIqaR3DjhSbWx8vg/Jt8Xt/1DDc9yePXgeKypTnj1yW295D0rI6NTy5L/uDORrpbCEUcyjjz5Oo7rCZRtbrHQUJ+arYIbEUcx007LvhM9VlyScOS+Znohp1gMOndEkJmKuITi9GHH1DsOBE5KZCYPv+1QqmiPnJStd2LU2ZufWaXZf8QIsHlpBL9Rf2ntk8NuJTbxXvvRqLtu+6W7scEXItc/3IfsHefs/AE9vKysLWHh9oz689OjRjvmV3/2I+aHXT1zSHa79hW77EPWKz9ETZ2m3FwkjzXJPklifimdpBpb5dsyBMwM2zlSYrCqUiJib8Nm5RdEbgJBDTp3XDEI4vShQ+PSHEZdusayb7iKR1Gsh69d02HdshqWVKvVKQqAjegNDq6sI45ip6TnqjY0oPeSqnZfwxL7F37h519kjm3f+qIzEpNy4Rh0Cvthszj3fh/QfxO1/e4A/8+S9SCFuW1kNX/fkocXvu+KS87uHXZ/3fXw/t1y9wsJ5j+MLPTbNKmoBzE0aTi0HKGmRwrBhKuH4fIV6zfLIoSG9oaDiw+IqXDKnqVUD1s3F3HZ1m2eOTPDIXsGzx2NuvSph46yhXhdsWbfCwoqiEkB/aHls3yyNquTwvM/66QFSgK8Szi4pJuoxkoSNayMWFhv0reEV19Y5vnwllUbCS18wse/s8tqPRrG8XQjufv1rX/58H+Ln9fa/HcA77VUqlcr0/PzCf/6jP7/d33fs2eRnvrvywuWViRv+4vPnWLfmGK+6ts6dD0/SN6u89oWae5+osGNzn27f48yyYhgJAh1zxeaEtdNDljqSJw5PEMWCnRsHzHcU1+zoc+CoR3ugCYdw4xVd9p+s0ayG7D2luXmXJIyGtAeaJ45JrtuW0Op4XLopJIwkTx4RLHYqrJ+C3Vs6+FoSRnB22aMzjLlsg8dXn7C86oYuw/4kn3+gx8tvWOXaHVt46MAGFvu9R97+qoVH18xcq+a2fEfYaM78+zgOl6emJp7vU/D3evtHH2QeOXoc39Pirz51L6+8qafU8Au/f+SYv+vBR8++9OSxU+rcfJuDx0+wrjHBxpk6jx+a5bbrlnnh7gm++FCDhw/12Lbecua8ZsMaS++0JbKWYeRxckGydmaIEJadm4Y8e0QT+H12rPc5t+Ax1RTcfEXEnoOGJw836UUdtq4LeYE3welFeOJAlV1bY7bMwuF5QTWIQCgOnNJYIqQN2TxnaVRBiRBPebT6sHmN4tgZwQ27O0zV6nzpKUFzIuLWq5o8+ozl3kcPs3lz5wYTqhv27jvG2Qc/kXiNTVesRv7+P/rgX/7sy64Uydym27AmtmvXb3m+T9H/0ts/SoCvLJ1FSSV7/Xblz973y8Pv+aFf+jdJkvzIv//9Y9F//OH9l1fEZKW7UqHhw6AneeyA4Ede0+XqSxucWapwxyMB3/vSVa7dMcOXH/e5dHOPdZMNjp2JuXF3yL6TPpP1CJA8fazGhmnD0ormvmcS7jsI12y1XLFZstwR3Pus5JVXRUzWFSudBifPalbbFuWF/OgbVjh+rslqR3D9rgHXXLqAxxTnFuc4uQBXbDP0Q8nRcwFTNc3eU5Jdm6HTkezausj2DRW+/LDPsaU+b73NML84xd5j0BomXHdpiEgmOXC0xzOH96r954+8vDnVvfl3/nnlRpO8yBsOh3/2jp/8xf+6d+/BYGpqYhDHsdm8+R+fM/OPSqLEiQEppDRLk63Fw7d0evo9+w8ciR9+7MDME8+ebe45FjM9t8gv/eAQG29kz4EqTxyIOHCuz+tubfGSy+vs2T/J3U+GTM50+Z4XS57a1+Dep/tcviNm03QVbB+hBZ7UHDqrWdNMaA0tjcqQ4+cTnjmZ0FBTvPZFXVZWGzz4rOWq7YLLtiQkseDEgkeSGC7bJLjykogHnxEsd3u85gZJtX6G/ccaHDs7RS0QdHoesxMxh8/6+HqIkgprNJvXLXPlVsU9j0/xyJGIN9/WYm19knseq/D40R43X7vCd77I59DxOZ7Yb9hzOKInu/zSD59nw+Qa9h2bZaW/tj01t31p2/ZLdS8SP331lZd+fcNscxWsEUI+36fyW3b7R8PgZ84ucfrM0ravPnZs0+7N0UcvaXxy4uThfv3YYcmwr2lUYeOkZc+xKb727Dm+55YVNrc0ra6m3Q/46JfrzDTaXLNTMwjrfO1pyyfu6/HWl7aoVBo8dtBjw0yXmabPyXlNu5/Q6/Wpr/WIjGa6rtgwJXnZVX0ePxijpSDwY4JazCNHFPWGx6bZkGEMG2fgul0LtHqaYTxFZDRPHZPsObCVQFUI/AQ9OaQ/hIlmn+1Au+tz8nzCzGSPuYkGtz/o89SJkLe8vMumySb37anw5NEBV+xY4QdfkXDg2BSHTwlOnY8520p448vbXLmlyt7DdRZXBMfPnmueevBYc77/MLW5dX/1P36x37LV6PtiecWpcLB4zK/MPt+n9Fty+7YHuLUWYNfd99y7odNXf/iVr+297Nce+qr6wM+fYqaxljVTcwyGmv5A0xsYtg/gT2+fZsPMErfs1PQGswwjj35Y48FnQ8JohWt2QuDXeGif4uP3tLhq2yovvabOwZNNFlYHVP2YuSnDzo2Ks0uK5Zak3UloVIcEvsemuZCj5zy07POWF2se3e9x+dZVJifbfO6xGu1+wOxEnccO+FxxSYeZCY9j5wUb5zwqlYipSoKnJVIKHtk7zUS9R9UfculmhS+rfO1JS622yltfDg1vkq887LPvVJ9rdi9z3Q44eWYde494HDsT8cwpyw1Xr/Djr4k4Nb+es8sVFldhuRWz3IVnT/WYaj9U752+vb6YvO7uodAHzy3wM9baM8D+b/cs6rctwOfnl1BKX/b000+9oNfr/atDh47cdue9T/HQvjYLwzp/8Kkm/+b7O2yYq9EfKvpDn8HQoz+0dM9U+dyDdW69conrdilgCms9njg0xZ/s7/LWV7a55fKI2ck6j+yd4ksPDlg/O2D3VsGaCc3hMx69QUS3B62uQGvLxtkElETKkH5PcnalAqbKmomQSzf2uO/JgCEx3/OSiCSsceiUZG5Ks3FGYEzMwoqmPRjSj3w6XZ/Ns0NmmgOUkmgtiCLN4VMwN9Xj5mtiNkxpDhyf4Gv74Mxyhxuu6fD2lyecPLOOx/cH7D8e8/iRhEh0eOONAwb9WU7N15hfkiysRCy1Yk4tS/xqn3/11lVqXsDRA4+r04sLu2XtqrsQ+u5KtfbfwkF7TxTHB+uN6ef7lP+dbur5/gB/l9vC/Cma9WDbkSP7/v9HDu37Tw98/f5tz+4/zGAQ4ilJGCqePuazaX2bF18REUU+UaIxVmGtQGM4cc7n2KJh2/o266agFlSoeBqF5onDinOrA5rNkCu3G3ZtCuh0K5xaEPg6IrKKMyseZxYM7VCgtWbtZMz8iuHYWZ+phkSgWTMdsdyxXL1tgJQ1zi7V2Lkx4MDxgJOLliu2DZlflkSxRz9U7NocIYSl05OsnYyZmx6yZjrEk9DqKYIAdm4SrKw0+PKjVQ6eGTA93eIVL+xz866AwyfW8MR+n2eOxBxZCGlMtviJ13e5cusEx89OcuKcx5mFhPmliBNLggMLlje/5Dw/+YaETneGM4uTnFuEw0fPsP/AsW3DMP6BKE621uszX//n//znVn/nd377+T71f+vbt9X6kwyeRqrqXNg7/q9OH3/86gOHzVue3XeCfuix2oHlVsTiasy5FcvRFcHMbItf/P5FbtpZ5+iZGU6cq3HqvOLM+YQT5yKOLBh0rctbX9rljTf6nDg3w96jAYdOGfaeiEjkgM1rQm692rB1jeTEuTon5yXLbcMgNkgJUw2Ym4hZbmvaXcVUM0QLzVQzoRJEPLg34JJ1hrmpmLOLVTxlOL1kWDNluWR9yAN7A3xfMdMApSJm67DSFSx1BWuahulmhJQwDBXLbc3xec2JhZit6wbccnXMpjkNSY19R2scPmV59njC8aUhr3/xCt/70iFVNcWxs1McO6M5cz7hzGLEiQXLgQXLi65c4Off1mbtxBSnFyaZX6wyv6xZasHiSkirM2Tdxkvo2slP3PayFz51xWUb/lunO1h48bWXPt9Q+Bvfvm0YPF56LyKZbyb9Pf9zsHrPP+0sH71idXUVqXwsCmMlxgqMMQgs0sKxcxUeOSS4bFOLK7YawAMUUmq0kgTKcn7RY98pxcD02b21zY6NhrkpzbopH18ELLUCTp4THD0rePIYHDsbsrAypNVJGEQeFd9nrmHZuCZCiIT+ULNtXYSnLJERRInPUlvSH3r4WiCsYW7SMDuRsNwOaPcFg9hjpSdYN2FYahlOzCsqns+6adg0F7J2ZsCamSHrZoZsWmvZsk5x+WaPqqpz9ESTB572eexAzJPHIxLV4Ttf0uItt1qqaoYDxyc5ekZz+nzCuRTchxYtN1y5wH94xwqbZyc4c36S8ytVllqalbZktZPQ7htaPcuzh5bYc3T18mcPnn3piXOr207Mt26/+dXfF953+4efb0j8jW7/oBl8dbXNudUu9cD79cX5vbf+1K98Qb7+hUdv/XdvO6KXV9dwfnmahZU6iy2fpZZmuQXLrYTlVsTSasK5VTi8JJibXeVXfmSJF+2scXJ+mjPn65xZ1MwvWc4txpxaSDjfiZmcHvDiq7vctBt8WSVQAfPLFc4uas4tC3pDiGNDxTfUKwlTEzEGOH4upt2FrWs96tUh1goQPt2+Ycu6IUurGqyTIqtdGMZgsSy3Qjau8ej0FUJZhBnSrHhsWT9gtSc4fkaTGM1MU9KoCAIP4ljQG0rOLUvOLlnmV2KCYABezM1XdLn1SsFcs8rSSpOT8wFnFmF+MWZ+Oeb0MhxesrzwikV+9UdWWDfZ5MS5ac4tVVlY8VlsSZZXE1baESvthOWOZb4tOLxq6a+s8rv/1sZveWn9/pb+EbN71877hej94nCwhkq18XxD5Tlv/2CDzL/48MeZnGxy/vziu9774Tv/9ZP77wn2HY04vxTxuhdqrr2kxyCqEMWKxAiMAWs01iqcsQJCJAhhObI0xa98UPCun5jnuu0hjeo09WqDZi2gUfOYbCrmlxTnVjRf/nqFz98Xc9nmHrsviVle6XP55iFvf50hihUCy2ceqHC+VaGaDDl2VtHtNrjm0oTz7Zi9+z12bpYcPAM374JWB0KjCXTIbB0OnK5Sq0YEKmaiIVjtwI2Xdzh8KmDnVsPRM0OeOez+PW/zgMPzlonGkOV2yGe/XMMKRZIk3HZtj1uus5xb9bhux4AdGzziqEmvX2XvkQrnFgULKwnnV2Lmlw0nlgXz3ZBrdy7xH3+oy1xziuNnJ5lfqrKw6rHUkqy0ElqdiFY3odWzrPRgoS8J+0NuubrNbVcua2VqLzu6733MBq+8pTr7JtOcaPzf99/zKW592Xc/35C56O0fJIOfP/p+5rZ11Uc+MvMfnz0w/3/f/+hRdWg+ZHmoWRkmXLNtnt/5mQWuvbTGuaUpllbrLLcqLLc8ltualQ6stBJW2jHLnZjFFpxcEejqgFuuXOb7XxayfU2d1W6T88tVFpZ9FluC5ZaTCCsdQ7tvaA8tvUHMTDNiy1oDCALPcuq8h5ABW9cotm+wbFjTY35lyJ6DDa6/zFKrrvD0oWka9ZAw9JiZMvQHcPmWAR+6a5Jdm2OGQ8vshCRK+jQqAc8cG1D16ly7M+bJIyHzSz4bZwK2r4ct60KUiji1CL5nEcKydW3MVEPS6Qd0ex7tnsdyW7G8Ckstw3IrYbGVcK4FS4OELRu7fP9ti9yyW1PxmpxdbLK4UmFxVbPcFqy0DKudiJVOwmrHstSFc13JudWEG3ed493/dJFdmyq0u3VWOhUWV2eJ5M4kUWve9ab/LH71P36/SX75/3r78w2dC27/oAB+8MABqtVqde+B01sq5r63HTy6+mt33b/AUsuy1LEs9yTn+5L5TsQLd8zzWz+zzDWXVDm/MsnSap2VdoXltsdKW7PShlbHsNqJWenELLct8y3Bma4F0eUtL2nxhhcZLllfIQxrrLQqrHZ9Wh3FSlfQ6QkGQ0sYW5IElLQEHlQDy2TTsmY6QnsDDp8NeepQgInrvO7GEO2t8ujeCbathy88FPOSqwLOt/pUtCJOIqanII48tBeztFTjxde1+cLXG2xfD48cHOJR47UvMsSiz1OHE46eqqClz9opzVRdUA0Evi9QAmIDYWQZhNDpWVa7hk7PsNozLHUt/SRh66Yeb7ipxVtuDcE0WFqd4PxylaWMDFqw2klodWNWOwmrXctyF852FAvtmBfunOfdP7PAlVsrLLUmWO3UWO1UWFgJOD2vWBzMEjRmf+ktr77+r+qTG06Ew0F/566dzzeU8ts/GIB/8b4nCeWkP2VP//ji2aO//9DDj4rBYCA7fZUefEOrL1jtC+Z7kvlOyIsuW+A3f2qJ6y6tsLiagTxgteOz0tGsdgStjqXVTVjtxLS6hpWu5XxHcLZlmJrs8eoXdrh5d8zWtYpm1aPdqRB4ElCEscQYgbHQGwDCMNUYcPC0xdiQOx6pM+xVuXSjzy1X94jMKvc8Nsm1l3kcPNeltdLkpqt7fPnRgLXTlr3HLf/8zW32HgtYOy258zHFLZcrlnttjpyc5tqdIfc81Sce1rj5Cp8dmwf04y5felRBIjh8StOsabSAXt8F1YmxRDEgDdo3tLqWeiNi8/oht17e49XXx8zUK8wvT7C0WmWl7Y7NSlvQ6kKrE9PqxrksWe5JznUEi52YG3ed510/tcg1lwQsrkyw2q3T7gSsdoL0+CpWuwm+XzHbL7naXnvthp/dtXv6T4h6ofBveb4hBfwDAXgcR7Lf77/xIx//7KW94eDdg8UnvaVVxSCEMIrpDRwzdQaGTgry833J2VbMzZef59d/aoHrd/istidYWGnQ6lZY7fisdjWtjqLVg07X0u7FtLsJ3dQhWOgKFroQJUOuuazPuumEbs/y+puGbFtniBOJlpYwgrv3VDhxvsL6qZinD1fA1Ni9SXHdLkNQ6fHowR4Li3Wu3FanObnC15/0uOGyCku9VVZWmqxbZ3lor+KHXtHl4b2aTWs8FrstVpanue7yHl9/OmG6OsmVl3Y532rx0LOTVHWdF+6y7NwyANllz1HBmumI+YWIe/Z4DCKFlJAYy7b1Ia++KaTTVWyYMlx3GYRhjeVWjeVWwGrXo91TtLqSdhfavYR2N6HTS2j3DKs9y3JfcrotaPWH3LJzgV/9yRVeeJm7OFqdKu1eQLvn0+5qOj1Fpy8ZRtDpJSys9HnH914dWTH1766/6Y2HKpXKZ33PM883tp73IHOlNaDdGf7I6WOP/nZ3+ej0yTOLrJnyaNQEUlqkUBgLxlhAIHAaVEmLkpqHD6zlF9+nefMty/zAK5bZvjHk3FKTwK9SDXxqgUe9qulUJY2+x0Rd0xskdPsJa4eG/tDSGQQsL1Q4ddISxobT52KCwL2fryxaCnp9hcAj7mlesE2wY4Nly8Yew6TDFx9W7Ds0xWuuD7ju8hX+9IsWX9TYtrHHk19XbJxUzDZ7VFSVMPI434F6RbNpreCJfSHX7azysmsX+cDn+vheg1fdaPGCHl95KOQLD9Z59miVSzbU2LY+YW4qZPtsxFXbEpQyaGUBSy0ImJsMCCOPTs/n6YMe3YGm11d0B5JuH7oDS7fnvnunn9DtW9p9y2ofFnqK+RVLbaLFz71uge++Zcg1l9Q5u9ik1a3Q6QV0es7x6Q0kvaFgMHQNGoMQPK356r17Pb+69re78cPLr3jZi/51FPY/4PnV/30BbpMuCPOT+57++q/vf+qr0xXZYes6n9gIEDi7DYUFsCAECOE6aRzAE3wpefLgHI8fqHPwzHnefGuXW68YMNlostyqUW9XaPZ9uj1NJz3Z/YGmN9QMhpZBaAgjSxRZ4sTdw9jHGpBK4GlBxRdMNgRTDVg3a9i0tsfsVIvbH4V7H/eQZoLXXO/xgt0d7ns2Ihw0ueUFgla/z/mlOjfvNMxO9qjqgEGsWGhHKCN4wU5NrTHksf0VXnrdBDdd0+Gx/QrsBNdf4fMT37nMl58IufPhOntPVNgyp1g3XWWqUWOiAdUAPG1REoyFvUcFSSKIYkEYwzDCfcdhQn9oGAwNvYGhNzR0+9AewkJXcr4DQzPgldcu88ZbW/zgqwxx3OTcYp12t0Kn79Pte3T7KgW4oDcQKbgNYZiQJIJjZyzd/imePfzF6f4w+S+vfvlL9PJq733Tk7X//QB++GSLI2fkT1Tjz/z6cOmuNTXfMDddoT9I6IeCYSiRQiCEQAiFEAIpQUqDkqCURSuLpwxVT7DYq/LhuzbxlcfbvOSqVd7xylWu2t5lZrLG0mqNTj+g1/dSYCt3DwXDSBLFgjh2S31mMSpp0RoqPtSqhulGxMY1PWK6HDwd8ZF7Khw5WWcyqHLDFZqbr27z0IEWdzzQ5MbLKmxZ3+NDdwmUCGg2Ila7Q4wFJWCu2aPd8TFxlTe+5Dwf/kKNHfMV3nBjjzBa4p6nZoiSCi+6Yg1vuKHNZZtbfOWxHk+erLHnqM+macl0U1ALBL7nLkKZXvzZahfF6cUaWYaRA+IghH4InYFgZShY7oDQA67dtco7Xr3KS65ImGlWWWnXaHWqdHoB3YFHt1+sBL2hpD+AXnrhDIfGgTw2DENLfyg4vdjid97/pTULveGvv/MHXmqtXfxjIZ6f6sS/d4Cf3PuHfOhLW3n0gTt/9NFDvXdfs+mLs7fsXCGZnkO1JFpqtFJoZVFSIoUDuhQSJTVSJigp0uXZ4ClLoC1VLVgZKJZaU3z07joPPt3llmtWecerVrl2R4uZpEocB/QGFbp9j/5QE0aKKJbEiXReunUSSApL4BtqlZjAD/G9IaeXhnzuEcmhUz5HT02hTMCO9T6Xb1dcv7uNChZ46nCDjZM1rrwE1s2tsNxuctVGSWwstz8cMOxJJusxr33RgM/eE3HiXINdl3qcXR3wzBGPzWunuGb7Avc92eHrzwiGoc/u7dPs3hywe1OHw2eXOXQaHt5X4+CROjUtCLSkHlgqHkjpgipr3cUaJxDGECaC7lDQHgjaEYQmxtgBL7yszTte3eYlVyWsnw4YDCZYalXodAO6A59eX9MdKHoDRX8o6A8k/UyWDBMGYcIwNAzC7AKydIew1FMcP7PCY49+cs2xa868+9T59fGZT2350/VvOi46fWyz9vcX+v29Avzf/MYfsGn3ad48TH5wdfHc707vemZyx+YFKl6DahDSrCmksEhlkVKlTA1KCaQSKKVQSqCVQasETwt8bfA9S+BZan7CZEXQGXqstKf4+L1N7tozYO1Uj7fd1mL35gGDfpcrt1s2r1MMI48kUSRGYjNwS4OnE47PW46eE6z2DZ++r8bpxSls6DFVUWyY0Wxdp7lkI1y5o42Ri7zns3WWlye4cbfmyh0tvrJHIGKPNVOSei2mF/lIK8FKlPZpDQTzy4IrbI3bru9w/2NVNsz63HjlNP/kOxf5ky90eHh/ne7AY2m1wfYNVXat7/GinR2+56Udziwv8+n7ApZ6AcfPepw+7eMpgZQSgcBYS2IgMpYkNkzNRFx9RY/hMGL35iFvvW3ImgnFdCMgiiqcXajQ6/v0hm6V6+fAlg7cqeYehMYxd2gYhAmD0DrmDi29ELoDQScUDKzHR766yuP7HpjdsXHbb/3sT9z+S+vhJ7CDe/8+Mff3BvA///MP8453fL/4l7/y3u8LxN73fvcNT9duutJiraYfWoIgpJa40hghQAmLUhYlFVJKlJRoJdAqfdQCTyf4WuB7hopnqUaWWmiZqCRMVQW9UNIJ6xw9Vec3/2IaTIyIY66/usf2dSFxDMYarHVJHCnchaQ9n/0nfPYeqlCvaBq+ZLYmmJuRrJnWbJhTbF2fsGvrKolY4r9/osnxE5PcuNNj97aEftzhgacCJqseMxOWyUZIreqkkDGS1kCx3LUstRJa3SovvnKVR/b22HdCMdms8KIrJvmpNy7xe5+Exw7V6fYtqx3N/HKTdbM11kwN2Doz4N98X49mrcWTR2H/SYnnuWMmhAGs+5+FOIZt6xJuuSomiTyiOMDaGoPQ49yiT3/oVrRBqHL51g8Fg6FgEDrWHobWMfbQOHBHJv2ZZZB68d2hoBsKOrEgtpKlTo0H9gnC+Jm57sLq3MKxS7evufJnvnb3nZ+wt736Lf94AH7nFz/Bru1r1cf+6kNvYbD8p//906uVPfsC3v1PF7l8W+rnJhpjJEKkLonyUoBbVCpZPCXxtNOcvqcYepJhaAjChGFkqUaGYWQIQ0szhmFkGMYQxoJBJBkmAVFSYd+hOnv2QWItDtpOG3sSfOVqPhoBXLkemlWYqEumGoqZSc2aadiybsj6uVUiu8x//8QEh49McN0liks2SXZsWuGrz8TML01w/XbJVNNQ8fsEMsAqQZxIhLXESchKt8L8ksd1u6u8YGeH+x6rsHZKUKs0uG6n4efessTvftLwzOkGq13DakexsKKZnawz1awy1ZygWYuYq0dsvS4k8GI8HaNUghQumLC4iyqKFOcXNFGsiGJFGCmGUfoYSoaRZBhKBqFkGAoXoIaCYWgZhu64DsOEMEw1fWRTFodBJOhHDuCtSNKKIIkiCAdcvb3Dr/zEMtdtWuapp6ff89EP/GX/wJlNn/jLD/918vYf+J5vf4CfP/JeatVltbR07q1zjYUP9AcHKlZXuf3BSXwd8avvXOXKTX0EInVKMoAblPRQ0uIpi6cVnrZ4ocT3hDsJnmDoK8LIAT2KLGGcOFckLt0TiBNLkhgSQ167koFbCFAStATPg0ALKoGgFkjqNcVETTI1IVgzHbN1XY9GfZVP3B9yz1PTrC42uXqLYut6j8s2D0jEKrc/XKPuaeamFI3agKcOw7NHNFdttvSGimsui7h6h+Xc2YSFFZ/+oMbrbujwtSf7HDytqFclgd/kqksMv/qjS9z9TJ/P3j3LUtuydU3CSksz2VRM1D0aNY961VIJDIFvCHSCVk5qybS10lpcwsoIYiOJE0EcC6JYEsaCKJIMI+e8hJEgjCxhCMMoIYwMYYk4hlF2T12aDNxhAe7hMERGXV6wbZVf+ellvuNFlpV2lYef2lM5uuj9eWMy/rFqLfjYL/2XDyW/9m9/6Nsb4L/4vqasB8MfuGXnkT+Yqz5dqdUUxmjwfD5z3zThUPHWV7R52yu6TDQTVC9ByQStEhdE6gRfa7xIE2jFwHNMM/QkoS8II+FOTqSIYggj6RyEuLD94sSQJM5dSGzqlOQFWc6dUdLJHl8LAl9SCST1qqBZs0w2DGunh8xNdYjtKh/9muRPvjDDmkqFq7cItqz32LbBsHX9Cp94wLK8XGH3OsVUExq1iPljkvMrAf52GEaCuQnJ5CQcPGpZaRvOLVa4bFuFV1zf4XP3VphpQOD7KDnJVTsEP/2G83jyPJ+5b4pnT1dY245YMxkzUVc0qopaVVINNIEPgQdaO4dJCpCiBHLchZ0YSBJBnJACHaLEEsYQRYkjhcgQZo+RSW3HzJVx4O7HgkEk6ESCViToRJZ4MGSi0uZtr1viba/o8prrDYNhBaUHJNLy0DOPV95429b3vvO71uvZSe8vf+3f8r80GfS/FOCf+vRniGLzox/87OHf+ur9881qbYpnTwQYKggfrNLc/rDHA89UOLu8zD//nj5TzZhK4DKOLpD03D1MCD2NHzppEkYule4YRzgmSlkpjiFKIEmck2CMC7iMsVkPZwpuB3AXuAo87QBSCaBWMTSqMZONmLnJPrNTq9y/L+TP76iy/+gk2yY8dqyDTet8Nq2FXVva9OI2D+1tUlUec1OKyQZMNoZMTcT4vkYId3H1hz7L7YjVnqXVjTm/4rNlXYObdp/njod77D/dpBZEeMpHiAl2bFT88KsWeeGu8/z5HQ0eenqSpa5mTTNmshZTq0iqFUXgCQJP4nkuVlGK1D50KLe4HlZjyIEeJyZd3VJrMTbEiQN3HEEY2+IeOVdmkAK7Fztwd2IY9GNM3Gem1uaffe8y/+btPZdg69aJYrcS/+CrEq7f2SJQe5tLC+q/Hzx9q3/3XV/4k9te8YZvP4AfPttCSvmTn/3Up399uHp6Ju7WOXJe4gmYrkGUCIZKESrN6tDntz7isffwKm98aZfbru2wdjak06nSH/r4nk/gewxDTeA7ey8DeBRJwtgtu1GcetoJqfVHytwSYynA7ZKUKXODVi5h4nuWim+oVmIalZip5pD1s23mWz1+/9Metz8yzfJKnUvnBFvWCDau8dm0RrB9wwDtr/LhezRHTtbZuVYy1ZBM1BOkHHJ6wRJoiUyTV2Gk2bqmzcMktHuKlbZlfrnKzk0Vvue2Fh/7is+x+QBPRwjhYWydKJZcv32FrW9vc/tjPT50+zSPHquzcUowW0+oVxIqviDwBL7nYhWtcIGzFHlNhsVdZMbinJbEAT4DeZw4SefADmHial3CLHkUC/oxdGJJN4JeZEh6QzbNtnnZdau86aVdXn+DwRNVVlcCosQjTjRJogDJ7o2KpVaF/YdaM3ObVt79sle8QVl7/n1CrPn2AfjqaouK7/2Tj372nl+/5+tPrdHCsH4KGhVLPxIMYxgmgkEi6MaKvqzSijw+/NUKdz/Z5brdbd7+qh7fcWOL2Qmf3qBCf+gTeB5h7BFGOg+U4lgRJZI4lkSJII4lSSJIjCi0thHkqiTNiErhkkUqTRb5niHwE6pBTKM6ZHaySz/q85WnLB/56gQPPT3JlO9x1UbL+mnJ2hmfDXOSTWtDLtm4wpPH+nz6a3NMKM3chKBZFzRrEa1ewhceqNDwLUI4YPWHmjfeMuTzD7qamFbXcH5Fs2lNgzff2uWhfR32HvSpBzFKCgdyU2MQOq3/w69osXP9eT58d5uvPzvJiZUq65qCiYql5hsq2uB7oJVASXchOyaHrPzIpFLNmGKFi1OgO4JwJBQlKbATwSBOWTuBYWiIw5B6tcubX7PC21/V5rqdCWunNYNBnXbXJ4x9okgTJ8X5GoSulCCOJd2lp9cc3jv36xu3v8J0u5331+vf+saJbynArV1mZXFIo2p/5LHHvv5fn37s3hmGK/iexKQQ08riR4IgsQSxoKIE/VjQVR59T3GqHXDmwRoPPtXlY1d1eOsre7z2llWmJ33CYcAw9ggjjyjWRCnQ40QRJ2nCJikA7trYwJoiseCCWFDS1XFobfC9hMCPqAYhjWqfhD5ffkzyF3dN8vTRCUQUsG3Ksn7SMjupmJv2WTcr2TAXsWVdm5MLHf7ws3XiYZVNmwSTDU2zDs1ahPBC2v06kw2LEAJrIYol04EiNjGdyKfTS1hpK04vVLnikgbv/K5V3v2XAccX6mgVpReGJo4rDELJupmA6y9tc/UlXZ45fpqPfLXKHY9OcqZVpR4oGj7UPYuvLZ4CLV06X4jR6joDWOMuusQIEgtxIpx/ngjCxCWJ+omgn0A/tsRxjImGzFT6vO6Vq7ztlW1eclXMRFUTxnVWWq4eJoo0YewRxyonpGGkGAw1vYE7Z6fODjh44v41O6/y/uv1178wPnnq5J9Z2WTLhsl/mACPhh2mZqpvOnrw4d878MzdzUD1mJsKaPfiNMUGUlq0tHhxassllkAJKumB7KmAXuxxfljhMw/VueeZHi+6s8u/+N4Ol29ps2ZS0axpwshPD2AB8iQDuJEYK7HWSYKiwwdXx6KsSxbpmMCP8VRIux+x0I74b5+ocPT8FI/tncQan5mqYM2sZXZCMNNUzEx6rJ2RrJuJ2TjXY2ZyhdsfNzz67CRXbxJMNSSNmqRZM9SrIcIbEgQardz7WwtJIukPNf1BRGwEnb6h07Ustz3OLTW5eVeXm65Y5cN3VqguK7SMHCCtJk58wsj1eM5OVnjhji4vvLTLwy87w/EFyZ/fMcn51RqnlgJ8Jal7Aj+TYdIFnjmRZ1IFx+SxFcQGIiMYJjCIITQWkhjiCKmGbJjqc/VWdz5uuDyhWdXEcZ1WJ2AY+cSxTgGtCWOVAlwRxs7tynz23lCy0pGcnm/x1ME7Zlo9fu+Wm1+40uv1Pv2txOS3DODP7t2HF2xWn/nsH156/tyzTRl1adRmWO6A70kSYxzAhfOcVQZ0I/Bii59AJbHUlKCvBD0d0E88lsIqdzw6wf3P9qkHQ37s9S02zcRs29Dn5is7aKFo1DRCuIPpspLOW3fFWim4sQhpUcJ55pYYZMwzRyWP7NN87qEGz5xoEMY1GloxV7VM1y1TNet88KZmekIzMylYNx2zYa7P+rkV7nl6yHs+t4b1k5q5JjTrimZd0KjFVIMh9x9QDEKNVycvIAtjSUUrrt3Z58GnJl3hUz9hte2xuBowvzjFO98wz6nFJR58Yg5PAiLCQAogj2Eo6fY1U40Kk806N+3s8bKre7z95QvsO2n4/EMVHtpX5cCROrHQDIeKXqRQQqb1PeXAM80JWENsLNYYPJEw4YdUiLjpui7b1w/YNBvxjtcOqfqSetUjDGu0Oh5RuqJmjB2N3KWzIyOZe+6D9B5Frhbo3Mo8Tzz12aY1Ry5921t+Qp06eSjZtPlb07n/LQH4kcN72bhxrf/knkd+/MiJ2m/91WdDtq/XbJiJscbpQE87JhXCsbiSwkmExKKl03xeAkFiqShBLREMDQwSj37i0UsqdDoJ//XDU9g4Yu3cgCu2DJiZiHnrK/psWRMSRSLV2xJKzI3I3tcgpODjd1d58nAdoTXHz9Q4PV+jUlVMBILJuqVZMTQr0KgKJmqKZkMx1dDMTMLsZMzamQEb17RJ7Cof/1qTfrfOZZsszZqiUZM0qoZGJcbzQm5/sMKwJ/HWgEzBFMWSelXxuhf1ufdxQ3co6fYT2j3NakdzbqnG5dsbvPUlbR57psbx5QZKGiBK9bJHlCiGkQNKd6BpdX0a1Rr16pDLNw24cdeAk+dbHDu7ivYS9hzRfOyrNYRyhWuMzx+0BjBgLVGYsHVtzNte0We2mbBrq2XtDCSxxzBsEMceK22POFJEiU7jIAfoDOAuJpKps6VSM0A4oMeCJHEfYd2s4trLPXZsXMVver/1yCOP9ubWbf2Tp555Nrz6yiv+YQD82PGTnD23sPPsmdO/f/zgY/Ky9T6JhXbX4mmQ0llwUArwpEUlAp04nRglFi9xGjAwlkpiXZBjLGEiGBrJMJGExiMysNBt8tUnDZaETz3kRjZgTXrPsnipRZZXJEqkUsSRRhqNpyWNALbPWeqeoRYYagHUAkG9KmlUnRyaaEimmjAzETM3NWTDXIeEFf7bX1e476k17JiBqVrK3jVJoxpTq4bUa32q1RqBkiiZanCcHIgij0Ff0B8mdIaK7sDQ6RvXMlf3OTU/wYuvGPJz3zfPb39Mc2I1QAiDtREmsUSxly75roy10dfUKz61aoVaUKMSRDSqIddfFuJ7ETdcFvOOV/bQKk6TQAYh7KgoTyWdyyhLAk8BPoOhZmnFOSFJksU8qSxMgRwnDtRxHvCPOVvpY2bnujmp0KwJpGly4BicOf+EvPra4PeHw/7XBsPB098KbP5/Bvgj93+S6WlV3bf/4Fv27zskqhWPNcoSxSZn0PKbyDRrqBKBKkXsOnG9j3EW0SeC2NgisjdOH7q7IDSS2EoSo4lMQJLaXuVbnqUUoIVwmUoFlaqloi0VlRB4EGio+JZqIKj6klpVUqtoB/C6YLJhmG7GzEwOWTPdZcOaJd7zOcOH7ljL5knFbMPQrCsaNUW9BrVqQqMacXbJcPhsQMV3FzRklX6CQajZvs6wbnZAe+DTH9iUxSWrHU2jWqFRm+QdrzzPkbPneO+nN6KlxmJITEJsLFGsGYaKfuiKonoVSW2gqQYe1SCh1XExhu8leDrB8xK0dI0SUrp0fpY5dqUrAhApyAUtk1ZZGhfXJInEGElsingnTgRJ4gDtkkdppjSRLomUiDxzGqe16nFKZMbgUv1DmSaSDE88sUfML3TeMrd22+E/+bOP93/8R773+QX4nhNDf2bx0C/smD34CytrBvKcDmh1XW1DHNt0SXX6V0pLkj66GhPQiXAebOpZO7vKebJJlnUzrvwzT7OnlXLOyxV5oFTW3NnFJIULrLQ0aEla0wKeEnjaOt9YCyqBpOJLqoGiWlE0qpJGzTJRT5hsxEw3h8xO9diydomHDgz58N0bmKoErG0YmjXhwF2V1CuGeiWmURvy0H7Ys6/GpXM21b1F2rw/VNywy3LZlj4PPz1Jb2jpDxK6fZ2C3KNWqVKtTPL9L11mz4HzPLh3HViFMYkrh40tcWRzbdsfamoDS7WiqPiGwPcI/IRAG7RO8LQrMXZlEDbtmLIgLIJCzxXBuUiHKaWOlMns15IVmwHbiBzs7jU5sBPjgJ7E6c8SRs5tHLu6lm4/4exiW+45ceI//vj3JP5VV1ffBYTPG8BN3Jedbv+X3/0/3vuvHxge9q/ePk2z5hNGjgmUcE2xsbGoxIE7ScGdpPo7VhadpDaVsZjS8yTLuNks82YxaSYuS1ZYayll3kdW3CxVnSV0nO4XDuB50ZbL/gW+ohIoqoGgVhU0qpZmLWGiHjPZGDIz0WfD3AoP7u/zyx9Yy4lTk1wya5isQbOqqFcV9QrUKwnVSoTvDWgNXDWkpyxSFp8sMY7hotinWY3oxYZeWmfdGyR0epJWVVHrBFSCBtvWRfzqj7f4T38qeWDv2nSSlyFJDHESE8Ym9ZgV/UBSHSoqviTwLYGvCLTB85zfr1Va56NSokllihB2tEE3Te3blERsWsuSpIBPTPHoiEmmjyIHeJJkoM++MwW4k5S0EogSV+vS7hmkP+SqrU/7TS/4d+u3vNNbWe3/0tRk9e+czv87A3xhqcXCyvBdX73r7n91+OCZyqnFWVbaHldtdbUdnnbgihOBNAIjHZMnKbiTpAB5ojMGd4yfpZFN7tGCNdZVHaYloOU7YwBPZXcaWGaujXArhiJNyws8LQl8ie8pKoEbyVANLPWKoVFLaNYiJhoh080+G+ZWeXBfj//0J7PsPzHN1mnnsDSqknpNOvauWmqVhFolIkpCPnhnA6kUnrQoUdiExmZLuccPv2aFLz0a0gkDeinAu31Fp6toBZqKHxB4TXZtjvm1n1jiP/yJ4OtPr8VY50zFiSGKXaHZMDQMK86GCwJBxRMEvsts+trmGVutDFI5b1wK6xolMoAXKU9HYjZ1WoxI3ZY0kDcUyTQLJk+ukbJ7Aery6pwDO1uV0wyqNZaKL7n+Usk1O6ZYml+qPPHI7W/yvMp/eHLPI1zzghv+fgF++uRRrLU3Pfb4E9WJqmFiS5W61nR6BZAygGVfViXCgdtYTJI+ZsycAt7ktRJF+5UDunB1FBmoswM/9rkygGc1GFkmL2NvrbO6E4nnSVe/4QsqgZt5UgsS6lUH7mY9ZLLZZ26yxUP7evzy+6d55vgsm6YEM/WSNKlo6hVXv1KtxFSDEM8bcnppCk8JlDSpLVcEmUkiiWPF+ilLHEe0o0raKWPoDxI6A0m1p6j4Hr5XwdMT7N4U82v/ZIF//8fw4LNrSIx0AE8sUZykTG4YBoZKKBn4KpdgnudIRyub1qk490pm3nj6eBGMO7lCmhRC5MkhkyaHsmxxkpSSRoZ0NR4FtrEFkbnzb9OGcqhXFb1ek2eOCJLEsNzZt/vGF7/h9+I4/qd/V5z+nQB+dP9HmJk7VfvSF57w5yb6VHTF/WMq65t0fyel+/IqY2Llrm6TMXrpyxpN/mULGWJzoNtMjmTPn+OzSVEUUbnPInJwKynTRolMnkDFg8A3VCuWauD0c60a0ayFTNb7zE61ePTggP/wvimeOj7HhknFXN0wURU0KpJaRVGrCqoVd3G4VH/Ig3sF3YFPRZFeZE6DZ00IiRFEsaZeUdx8ZYeHnmnSi5xM6Q8Ten1FJ1AEvsL3/FQ/T3L5ZsNv/NR5fv6P4Ot71xAZSWRM2ixd9GAOfUngG8feXlFHr1V2J5UphYyTaZb3YiDPkkI2A3gK+CR3XhhdeTNpmQHbjBLa6LlNT6gwLLXcvBZrLcOw7R0+e+dVN7z8ttp7Pvyp3k//wN9+PNzfGuCPPHmUYbBt8p4H/uQPG9XzL90wa1jxfaJ0oGRR80DOViarCUlBnl/xBowSF2ftEqBNDuyiKZhUe+cnQ7iCIiFTcKdFRioHuGt987RjMt/DdQL5aYFVkFBN5UWjOmSi0Weq0eaJQ0P+w/um2HNsDesmNXM1w0QV6hVBvaqoVRW1nL0TKkFMozbgnj0+q60KU1NFmrw4Jmn3e6JYM6N45Qu63POIcV00oSmBXFLxJBVP42kfratIabh8s+XXf+o8P/9Hlq/vX0NkNFFaAejKXh2TB5HMqwt9LdE6LcKSAqWzY0P++bKLMJMqIqtKo0gIjd9N6dGY0mO+8o4y9YUrc6m6M3HTDQCi2LDUTqj1V1/6kvjIH3//9//wz/z4dx9Z9aqX/K8FeHtlnrC/8vOf+fL8D1wy02Ln5gbNekKYJ1nGrvgLvnim44rXbkJTJkPI2XskkBxn7vTAZBm5XHvLrIKu0N1ZxaBWuPoMbfE811hc8Q0VP6FaialVIuqVIY3agOmJFo8dGPILfzTLE0fWsmbSY00tYaJmU3Cn7F2RVAPH/pUgphaExGZIJwwQSuJlDJ5rcJEu46lfHHnU/YErFwgrTGUgHyT0fMfggS/xtMbT2Qa0lqu2Wd79M/P82z8wfH3fWiKjGSaCMDEpiwsqkSHwLL7neld1Gndo5UqElZTp8Um78rPHUmFWfmGWY50xcOckVCKmDLwXBXW2Sts0bUGp0jMlxSixJDFMBgus8Y/9wJGDTxw2Jvz3f1u8/q0AHvePoCrrtn75C39x9TWbVgm8CRJjCfwETxUBR1b/4aLv7IuKErhtCfAi/6LJyAETJaYospK2fAVlrF0OKrPlNu3QUWkwpXXaGZQWIWXVgxUvSXVzRLUyZKrZY6Le4cG9Mb/4nlkeP7KWuQnNXDVhomJppOCuVpydmIG7GiRU/JhmPWTvMcvdj9XxpcRTJg3iCo8iC5yjRBEbzW3XR1x6SZfDJ6rM1Ui71F3nem+QsrBWaO2l82Ccd33lVviNn17k3/+R4WvPzDGIqi4ZFltqaQ134OFArrPVy+S9rVIl+QqnpCgBXJRAzgV6pQC5HQV4XqFYrLwZ0HMclBk+B3hJhuaumUUqaHcafPizXbZd8sjVP/zjP7F1z76Tx1+we/O3HuBnzixyvj29zZ6793fWTp58k9m8RBj7+e/LtlEG2gzU1gpX62DSQLEkWUzO2OULYnRJvIBBHLekDD4GbuEOjFt6HRi0SllbW3xt8DxD4BkCP6bix1SCkFplyPREj5VOj3ufht/4i3U8eWiW2RTck1VLoyqoV0TulTvnxTj29h3Aq8GQMEkY9CtUlLvIpBAjlXxZIsUFmtppeT103emRKAHc4PsJvqfxPIlWKm/jy7KQ12wX/MbPrPBf/zLm6/tmONNqMqhLJhNLI7ZU0okDgWdT7z9zUmzO3plUyQCef970Q5dxnivE9KRYWzBwsVoXkrJs6eZAL4PdUmL+IijNXg9Cw5Gzq8yHK2/a8cAjyZtffd3/tTC/cGxu7dy3FuDLy89gRP3GavzIW6aDB5HrZuh0Y1e2Gou8ii/OAH4RoBdJgzFnxIgxrX0hwLNDXFaF2Ulw4x4y9rapPLGl4UCuLNbTJh0zkeTgDvwU3NNdFlb6/PoHa3z6gTkWu1PMTUjmKim4K05319LAshpIaoFNGdxp70oQAiF3PeGzEvnMBIzUYyNGV6gkcc0PzUDziut6PLg/pBMFTOQd6wZ/6GrVfS1L82I8hHQJGizs3iz57X/R5vMP9nnX+9dyanGK/qRm0hc0YkMthiByo5d95QYaeVmgKUUeBGeP5UC9fGEKkfeK5OcHxiRkBuzcXiwBeSS+KkvXgtnjcgIocb0Dy33Nw185xPbNM2+5Yqv44NLq4Ni3lMEXl3vMTFUv++TtX/2XX3vgCb731iGXrFvBU016Az+v942zWuxEkJQyX7YMdFvW2pk8GbOhxlm7LEvSA50xS5ZuzlwAlQFcuWpFnWbvPJ32d3oJvhdT8SMCP6JR7aN1j3v2JPzxF5p87r41hKbJmqZgtuJkibMAM59cpXeRMneZvSO0HnL/s5P0Qs36WvZ5xhk8C7IlUayoeIqbLu8TGwfwfiRc13rWuT40LjjUImVxdyGLNLluEcxOCn7g5V0awRne/4U+9z47w7moSq8iacaWurYO5DqNQ5RN4xKbgjw7hqKoHZcgKVh8fEfBXKpkIypgTJuXu4dKvzNl+ZJKtpKlGBtXiz6MBatDycIgZueWFbZMfJX544/THyZ/U3x/c4CHvSN86K+/zLq5iQ17njj0sg9/zmPPgVl+450LbJkRCFF3U6YinU6JynZcMM4StNkI4oLFbTmgzLQ2JaDnwC5ZD2X7StgxaZJl5cqj3Uxa852CW7lajMCL8P2IihdSqw3w/R5/cYfmN/9sDYcXpvGCCusagukgoRlY6gHU0w77auCynZU0IeTqV5J0JXDyZLGd0A19fKXwpc0DTEpfJSsvyGo3wtij6g1YN9lntddwXU+Rkym+Z/C8JLX5VGp3KgfwkcDVVT6+6SVdbrhigd/48wEfun2O5bhOL/Coe5KmdjU4gQZfkTdD6Czpk658MpcqRQKoTCqjYqUMdC66Ahf6umDzsjxNSuZDlHYSDWNox5LzHcvOtcv8Pz+xwiVrGrSjK//T5NTle++787qnmptezzWXb/3/BvAoNvzY22/cduzI/vc88ch+1jWrPPgs3P7QKj/5+gG1ivsnHMiUS8kb6TJbSmKsKcmVjM2Leof8y1MElVhxUZ9bYAs2kdkgzhLApUVJ45oqcuZOUpDH+NpJksAfEnh9js3HvPfzdT75tRmOzE/RrHlMV2AqSGgENk29Z+CWKbhlnhSqpNo78N2F06wP+cT9moPHq1TSCVx5uxgFyovVKy1UijW7t8J33tDhj784Q7emaaazR4IwjRuUQWvp3A9FCeReiVLdqrBlVvKLP9Tj6u2n+KPPTXPk3ATLcZWep6krQS0Fui+tu3BSlylf/bLjmtmHOH1eZDrthT55RkxZ6YS9MJa6QJpkUq0kS6JEMDSuy2tlKNCyz+tuWuWm3ZKDx6e598nW1Tfcuuaju3a9+PWdTuebSpVvCPDBMCTwPe6+/4lNhw8/u2Olc5JEzhBFhuUVi7ExvhcRJxLSmX5KpgBX7mCPApsxkJfY24qcBfKDldO2HdGBGbDdY1o0lILbuSYZeyd4OnadOzomCIb4ekgnCfn9j/q8//PrOL00iVFVpicU075lwjfUUuau5el7mdappNIk9c5zcPsuezmMQg6eCuiGAVNB6uJkSafMlciysLZUkxJpmnXN9k0hKhjQCRv0fUE1cmPR/FReealE0ZnrIdRzBK+KuYke73xTj7fcdo73f77Nez8+w2K/Tl9XqGhFTQuqyhLE1rF5VqMvi/KGLMt5AZNzEbky7rAwyuQFuMWIXEmywDLrJkoEw0TQSQT92NJUMbNTCb5n8byYXv8Ug9U9O3Tsb7r68huOJUmIUj7PdfuGAF9aXKRRr89NN9RHH3nogJcks3zfKxfZtvEcL7lqQK3iMxgkeCrO29FkYjBZ21gmTTKZYjJQlyvWCvbOgsgLb7ZkB9oc2CPyRKZVcipxANdu7ITvRVT8EN8LaQ1C7n9S8hd3NPn412YYJA1832fGF0z6hrpvqQWWml+AuxJIgkASpNLEJYZSZyIFuO+5zOfRs5Z7H60RRh5B3V4QYGa3PM2dlqKGkcLzNK+8ocOHv9xl/6k6/Yqb9zL0LH4MXmTwQoNS0vnW0g0kzYf7UKyILtiX1ALN2sk+//b7e1y+ZciH7mjwyN4JFvp1BsrH8zQVLahKCLIBS5m9Km069JQSyEdrVsaLs8qMnq/IJQZ3s1nKwaVL9SdZZtdAaAQDA70ErDC0BpI/+sQEew702bomZsvMLMcOH/GuuPKlH213Wi8Y9HoLf2cGb0WT8sTBgzeeOHjPxGWbEtbPSa7bZdm6XmCs64wW0qJ17Fg2cbO7jSz1RZpyyWUJ4BRAZwTkKUOUCBzXo+PeI08pm7zc0+lui1aJA7hKcjmidUSrG3Hf04IPfLHJHY9NsNxqIKsVGlXFpGdp+oaaZ6n5lqpPytqOuauBpOIrKr6g4pNW6JkU3IbAc/pb6SEHTsHpVsUlVlJ9O5o4Kepn3Il2II+NJAw1a5uCyzb3eepETC/y3PSBCPwQBz6VpBIlS9SAHOvMKVyrrE7b1Ye/7ZV9XvuiFb7yeIc/vb3JI3ubLHVqtKRP19f4SuBLQSBxPZzSokUW12SthmnZ70UY/ML6lfKFN5rbSEoaPEkL6GIjCC0MU4DHWTSqJCdWJzh57wyXzGqu32aYmxxibr9n4nveeOuNWy+55Ivp4fzbA/zw8VOBjYd/UNV76i+5NnbNA8rS7gX4fogUrnAeCrmQSAdsk8hSgFluAC49Lzsm+f+VjtyINLGUC/SdLDGp5jYo6SZi+ZmbISMWOjH3PKr5wn0NPn3vBOfbdUSlgtfwaGqY8FwnT9UjlR1Q9UV6l2nJaaq7fUGQsXcGcB3j+zEVP8TaiLseCzh+tsrstMCTJtWxomj0LbGdNeVyU0V/6LF1reCV1/X45AMh3cijHwkqnsWPHYsPI1tapVTuVyPkiEzJjnPeqGCc314Nhrzt5X1efcMSn/pah8/fV+OeJxucb9XoC5++r9GeQguBJwWelHjCplLLohAlaThqH16EzC8MNvPyW0hIJZqF2EJkHYNHFqwxYBNXyIIFqZC+T88IDp417DtjWYj21n/0B675Azh2OdD/OwH84196hpq/wne94BCX7/DpdH2kSvBUhBIJQhqkNRhhMEK6jvX0wBqV7Tws01LLUdZ2DkmxjI3zwUhAWQK2ECbV+gaRAlzrBF9HVCoRg2HC/tNw7IziI3dO8MVHmpxfqYNXQTc9akrS8CwNbah6lqoHFc+Bu+K5mYSuzFSW7iL9vU1BbnKQ+55rTzt8xvDU0QA8L13mbSlFL0ZQUNalma0aJ26c81Xbh1yxqcu+0zX6FUEtFgSRZahIrT2TsnfmpmQWZKFVcp/dZHGQSqcPeAxCj2p1yI++bsgbb17lS492+asv1zh2psK+0zXC1YA40Ay0Rio31VcBOn3MmDyXLhTB//itHF8ZSkElBYtH5SRQlsq0sQO4Tdw/Ilz30GJf0x0I+j1Dc/IkJn4ETP0bQfi5AZ70j4huv/cv/8f7/2D2sQOGWqXL9TvaSC3wPJdPjWMcUyCwqSQxVqXPMxYReZc7ZYAjwBauwgi8s0g913wuqeEkiUm3MEkIAjdJNU4Szi3BnV/VHD5V5e6HqpxeqXL4TB2CAFXTVLSiri11bZyL4LnB+RXPjWtzIM7uMr2rFOCkmjsFt5cQeI693YUVcnQB9h6r4clRezCXKBT14IUfnDopJutp9Lhia5/L1vR4+khML/ZoRIKhBj92MwFVCeBSCoSUI0wOoxZcLoOyvslEESUeQ8+nWQ354dcMecnVbU6vtLnrYZ8jJwO+9FiNM0sVkr6HkZrIVwgp3UqRduVL0own5LKFsQV4XKaYEuhNeiCch5710iale9oEbSzEApKI2Bd0leGmXV1efFWbj37u4OxNt/7Lf/nk/lPvvmbXpouGb88J8Dvv/wJRlPzAvXuW648f3MCf3x5x1bYOt13f54rthg3Thku3xSgEJhpdEh2gZSpHxIX3zDKzxVGx6aHIfe4R5i5JEZXgBQlRYjlyUvDUEcWdD9V4+qjPs0ertIcBwzAAz0c1PQIlqCmoaUO15AMHOqvTyMpmXV14kMoS31f4vkwvAFtoby9xmUXP6fyKH2FNyPyyZGgDtJb40qJLNtsYgecgT+xov2MYewg0c9MhUg3oRh49LZzTERUFY1qZkQykzExqgGzYUU46RWtZNhjJS1Q+fqI39Fk3FbJlbcT1lwzph31+7GiLp4/53PlghaeOVjhywu0oTaCwUjlGlaVsUDmZP9bEPJLdyh8t5S5+bCpFTKlx3CQQg8awY3vExumE3dtDbrsu5IptMFETPHX0WH3fvtt/APS7/1YMfujZ2zl5rq3+4gtPioNHJxkMJc+sWJ4+2uCOhztM6Igtm4ZctSvkNTcMecW1IeAaW6s163xsK8FIkkgUQKeYVWIZDY6y0cmk80s8bUEYhLREoaU3cIx+7JTkL+8I6EWKJ56tcOhkwGLXZ5j4oH1QHqqp8KWgqqCmLBWFG2em0sIj5Vjb94RLepTB7Un8VJYEPgQ+qWviUuaeNvhenGZEI6qVkPMrCXd+vUGrEzA1IdCpF58VfYnnWr5NKSA0kuFQMTujeO3NA770SJ8TrTp9TzqZosGLLV6Uedapxy4TZxdSnnUi8/cwVpfewwHdTxSJVsSeG/sQRZ6zUr2Iuh/xkqtibrp8yJtfNuDAScmevR79UPGhO2scPeeBkPT6miRUWfkmVmdL75hlNALwTI+a/ACI2CKMyZm8WkvwPIPA8IrrQl5zw4Ard0Vs3ZjQUJKpqk9/WKPVrbNjbcBi75RYGr5Q/eXHbo/f/tbX/c0Abi1sWtv8/d1rzTUrGyQnFuG4UiwMaiz0BAvxgKNLHl9/0vDRO2PmpmKstVy3M+JtrxqkbUgwN2G49qqIesWm49NEVj5xEckm8uE8rZ5gz5OapbakWpE8tNfjs1+rMIgUg0hx9pyPEZrIehjhgdaIQKOlxFeCirRUUmAHyhIoN77C16nnqwvm9rO+zBzcKu3RFDl7+57B97MCrSRnb9+PUCrkq48rPvlAA+VrZ7eN6O/nZvDMC0/yznTFYODxxlv6fPr+Nh+6a4JuXKGe6nAv0+FRlpSxebeQEDIHmHsrWdL6JYCbdLSDdkzuaUWsNTpOHNBVglJukP5UJeaWXTE374qwYshbX95jELlxbp/5WsDDe32qgWCxrdjztE+7J1OVJC56hoskgEvj1yuGa68NmZ1MXDdQYnnbq/pcuzPCGpibMkxPGhQSrCaKfNq9Gq1Og/mlCY6dqXH0vHfN9p0Tvy/gnX8jBu92V6nVJpqPPvDpXRM1qzbMKRbbCVriDqLWID2MkQyNYX7VY37FbZlx4Ljls19tOm2VWCamDDdeE9KoupY0nsPlzi/11HVY7Soeecqn3VJILd1MFKsdMwntNu6RGqRGSoknhQOztATS4EsHBF+Br4oZfQ7komh40K4RIGs8LoPbMXxaVutlDJ6U7jGBjrA25PSiTzisEExI/DTtrdKqvJEspsjPb55eL0AuSYwijDymGorNsyG+GNCPA/qxoKrdEMyshiRLaClZLm+V+Xu595Bp8scUSZa0hCIpSaM4TtK8gUr3P4qJ4gQVZXPaE6SM2TRr0hXDcPmWAaHtI7Wh1RI88pRmtSdRuWIZDapHz7SrEa9XLDddEzExZbCx+01NuWOXO0GJTicFK+J0FxBj3ei6U+c95hdjtfWS4a4f/P7var6xs9xuNKa/McBPnFpEqpV3P3vgmZevm57H2x3w7JmIhZ4myafG69QcNSV/zxJbSyt7LS3tVcvZr9ZLX/HiCXj3UCxvVghMtuUCac2pUEWQI2VqZWWgTtPOknTj1sw3Lj3qtJNekW69Rw5u19al8FNw+5q8xNQxeMri2uCn2VHPiwiCiJOLhj//Uh20jydFEWDm8kRcwODlTF82JNSBzQ3WCSOPd7y2z6fu6fPsfINu4lGL3aa0rgrQFp04KssJlII9UcQ4TgnIUoFXdjd5LYzWCi9x81K8FOhKFkkzVzeePhcmHRyUoIVF2ITZmuE7XmxAJKnMBES2f8ZzkFqaucYoTKzzXEgSCeJcymaOm8yLA5SKmWx0ORhr9hzymV/pcellT72827r63XGc/LNvyuCf+txdSCn8vfvP8+oXRtx4ZUTQWOToB6ocOVdPj2oKuIuBtrx9ApbEK/1NfjGUNVrGbiX9JmQevAgp8xY0JcATLq0ciHS2oXSvtSStqUi7x7NCIk1pDgrpzmxFV30BcJnLlsC3eUub75vS4JwYL2VvX0dIGXL8nGChXUFoTSAZkSey/LVKp7ssHUaAlzodYewx0xyydV2ffeeG9BPNIIEgEXiJG1yqFaiY3FkqUuhqpFMhO+TO4cpGcYiSNDLoxJAoidLZ9uUqLVZLkMqkK4UprNkU5CJ7b9yULJFOy8oMgswJy6tAyxyeQ0KU4CEu+H2ZB4WwVIIBJ+Z7/PHtNZ49kHDpZljXXOCpx7/iG3vhxXQBwNc3zyEEeNt9TNJEqRW++9Yee4/0+M9/5kG9krKpKgFzjJq+oRQZ/+DCLat5L6BAUqSI3VQq8ITFEyloUwmQPc9/lpJ9UQpK3mDrK+HAPgJu6R79DOhZ8JmCO+v+0SaXKJ52+tT3I2IiPn9/lfmFKt6Ewi/XcJQdlNFLumDWkj4uJ30GQzfB9g23drn/yQHtuEJPa6qxIUzT6UoWBVFZwZkQhqJzKAs0i+SKsw7TmSoWkrQLSxtBrAQ6kekudq6WJ06BXiTTTJ5gk9KUEm/p86yEt2TtZq4Y48dgBNDfBCLYPOdRqUZ89O6AL97fZMOMIEBx70OSxr4zF/rN4wBfPfNZtFd98fGDX7thaXEF33P70nQHMU8eqWZrIkgvlQuMeyHP8QFLjyU2y7xhmT6q7FFYNORWm0pTxtlU2kzjqgzY0u0nn41CKAM7n4OicP2IFwN4FnBmultnssSmenu0ltz3Inwv5FzL8NihKmgfncoTXSpQyrJ9Ygzhzk0qVd3lfaky98SjyOO6S4fMTPZprdToxYqaAi9230UlbpiSisoAx4E8fyM5Vqkp0pLVNMOsDIkReMZVfibKkChBnIK8XLyWlUPIDOQlUGclEwKTgpy0pLmYmHVxJv/mwHEXjEGm+5gmseSaHTHV2oDT7SreaTi2MGTLZn3Dd7/hxS/+nx/40n3/7Mdee3GAHznXQ8noO06fX7r2sjVH2LDWcnYx4lP3K25/bAoqFZC+C+xE2haGvTAVfRFw56AuATwDtkj/DZc8GB25pkogzxhLZ7URaQ14VurpmouzThUnS1TevVIAO2u+deydam5NrrczS9AxdgFuL69OjBBEfO5rAfc/3UAGGl8KN387ryAs2uiKir/xbGZWjJaxuAumEqPoDzxuvrLPd76kw3s/1yBMArqJpJJYhjHpylWu+jOpnDNjF9RzMTkYLdOOd5GDO1ESpYxjdCnT0RKmVIpcrgGyBchHss0Zk6eX88jjGDbExVf7Ih+Sjr22CVjBoG951XV93vry83ziPsPekw2mmiEvumHl2qn68ndU/ei+izL40WOnmZ5ovPb9H73jhz746T47Nwesm03Yf6LG43ubhKKOVH5alJPKBeHMqIsW31wE9GLsd8WjTbtzSr2VFDUP5dEGGXO7LUiy16QMTt6GNcLiaTeMp0bB7cYpjDF32rPpp+1tns4aDuLSPSIk4q/uapLYAJVnL8sBZtHXmDkbIxocUWrGdeA2+Ww/RZJoBB5ve0WPD35+yKqJ6CcV+olwmwekLC6lRcYiLzpzduF47ZEsWZOiBHJBotOZJSoFubYo4+RKoiwqcRWMLnss89LkwqIsV3cWZczZThojAM9BcBEmH7fOS1peCkMiFYlMMNatvD//9pBXX3+OgyeXmJkwXL+7y+y6F/zQuq3fdXdr+fSXJqY3jgJ8ZmJIs64unWm0d5w4Z3jk8Ba0NiRGIpHUfFchF5SqzHJQ4lg4uxZHXANb/Cxn8Xz5KbFcnpofDdByLT6mOTPQl2d7KCUKLZ5W3I0Mu0mBrZUonJTcDnQd964x2abMXQSYusTegRfy2CHJwTMVrPJQUuJLgx6v0ygJ8PFQJbvnnU6lqsvMUYlijx0bIq64pMsDB6pEyqcfCyoSvMSiY5HKt7QLJ051ONLJhZG3FIxMOyg3HpTGsCXG1bs4cKftbMqWwJ3VAtm0TCBjcvLVQ+RyKdPilBi9AO8FrC0yA8KW5rPYtOfWNdTEicvA1oKYl78g4WXXuD1UT5zrse/EcEdYjS6No+RLFzD4U4eWadb7PH28j0GwvqGQyPzkSNLSyUzvlYA8HkRdLHMnSoHGiFTJ//0Ll3WV13wXtlshWYTrnhcFuF2QKfJucZ2DW44AvDz8x3XbkwM7z1bmzJ3ga5fYcV1BEZaIj91VY2mpigi0893LF+GYNMkPx4gPXkwTKNdx5960UUSRZnZa8n2v7PDYoSbDpEJP+VQTp8UzolGSFNzZWmFSTzwrzHUszpgeN+m8x/JUKneXKJOtSDZ/7oAsR7S4SL+3A7UcYXBXBz9aflHgY2wWIkXBRnasCtIrlW6kcqg3yCbjinT16LNueomadxYjevk/kwP8f773MyglObfQYvukQogknRCadWOI/E1zoF5EU5XrnstMXf4uIxdG+bEM6DLQ88lLRVNseeZgDvCcxTO5IlF6FOC+TgcAednWgWmGU1u8PBVv0ufJyF0r17nz7HH46B0NhtJHSZVmL0cvxPEM5oUOQvqYsXjJTTEpg8eJJkg03/eaAR/4Yo8nj1SJlEdPSvzEpO6RQCa2dHysay8TZbvWpO81um9RmckTAzq3EN1QVJWWBKjEFsM604m0ImtUFhCP6fEcjPl5TovlclIrgHwhhmzhp46w+Oh/m8UveY2NaSK7pxisfrx0UacAPz8/z9yaNbX//nvv2f70My0aWtIfQj90u9/G2TyTb+L+iYv8QJbAPtruVCxD4yntCyVKMfNwfByyLDF2FmRmU5u0zjZ5TbW3GgN3lr73ssZk42aG5C1iWU9nnN4jlBdy8LSmE/qgdCpP7Fh57PiFO3pwRgcajXnhaTdOkfjR1D3Bro0DnjwYkpiAvvGpJK5mW6caXAm3katLLGWAMBQ+l8lPSp7hTOthdD7Y1P1MGUikA7xKd6eQppgQkE3XSrLu/twAKILLPPAcO99lkF50pS+VSeeSd+xvssaZOJHphlxupnoYV5hbu377m773J2tnz/x0b/2GDQ7gw+4ZFpLl19xw9dzP95YPUK8EzC9FyJ5BhzbfdSGf7MrfzOkeZ/nxGRuCNKfDxcAtRhhc5kFmeahmBnKKGmlVArUa3cXYU6ReuAO3A3AxFMgry5Mye6u0r9MPWe4Y/sdfN1jqVxCB5+SJtCOrSjE45xtbYiPTBEzRU2mMzFP3caxp1jQ/+z0dvvJYk6WhTyg1fSnx0x7KYuRDJh9L9fTCkJXRWkwKboNFjjkrImVwmwfpGdiVFCmDO0mU5C5KCupsDLPIgkI7siJnjF6u78+B+1zHqOyu2MIzL+cOolgyDBUrbc3ZRcmZhQE3NKZ+/rEn9t3XHww+lTP44sJjKBVAfJjd2xcxTLCwkn5JLZApwEc6NP4mKB8D9PiXEmNslwHDzckrsXhJmmQdMjmwpUCqYvyYKoFaS4lOJYnOAZ5pbpMHlZ42Obg9ndVfjLK3pyJ8P+Qjd3k8c7gK0kNKmQbdo9Zmvkd8+iWfs5qwxOb5ThUlmRIbmW7y5HHVjh5vekmbD3yxgtEBfekTSJEnfZQURLkMuJDJRZnJs3HIpV0crAWjQFm3KhgrHLizKWEGknx+iigAXpov7r6/cDKlpJ0z4I/g4Buw+MWOFRTSytqs1c/tHGEsLLVCnjrSIq4cohVZBoMhOcDv2+cT+AFHj1vmz6yyuqJptwM3T1qDNAKVVoCNdsJ/A4SPaCgxCnRhLxgoM+IZ54FlBniRy5JvDnBZADxP9GQAt25OdipFPFW4JV5pOFChuR17e9pNrVppGT7z1QaLrQAqqXsiSsHYc0iU8vfPjw1c3LbLLEPj2v6cm6KZaiq+6+U9Pn3/gKVuQKg0/USm9qRI3RuRs6eUGbkUOtzaouvH5GxexFg6c1ZU+jwdf22kmwqcHfcyyIUUpe77bIhnKk1G9LgYkyvibwTwkaYJIy44XgKYnYx4wa5VpqbPc83VG9myOSGM3N6iOuw+jleb3HbXPY/+3J9+bInD6QzsmZpbxpUSWFmAu5hjQs4E5XEPF5D4RWQJ4mJDM8UFrzMmV4J8bl7eUV6a/V3ucHHD3RkFd7azQcbcqsTcFzB4Nm6iGDmhlctcHj0mOHC8giFASJ035xbVg6MSq3A1ijNZrkUpmFyU5InInYy83SzRYDW7t4bsWD9gaV8Vm/iOxRMnU3TJxSnYs1zolTUZyPwzOF1U7pMFI0VuHZZjG2XSee+SVHtn56UgoxzcRqSzVDJNLkakSnkQ6TcE+JhiKFacghykcIOLdmxUvPDyOt3hKVbbL/i5yvR3PHHfI08f08fO+ExOqHWrq95r9aDFZWtq1AND4LkESfb+pqTXLhhnPCqXLmoZjksTRNGMWwBbjMkTUXImRCnYLADtGJx0FHDZBy/f0y2tVRncJZCn+9V7aWloxt4qfa11hFIRn3+gwcHFKviFPPFK1uWFkmvsYFyEnconKz+B5d3NsjLaUHPJbMgbbu7x8LM1MB5x4rS4l6TZ3WRUKhXMWfjLWeBZrMblicACI9PnMmVJmd3dsU/SFUOKlNVNtsLaElHZ0kVux1a0QouXXbkyVgphUJ4wXF7tip9L4UghThp0+zVanR7br6i+dsOaeF04UMe024pOI4XPhhkfpQRYVUSythiKmQ1KzLe0KIM8hfcowMVF2HvcYSjYfDxAywAtLgLsnM2VKDXhlsCdzicstu3gQmDrYkBQPuJNmxTksZMnKqJaC3lgv+JTX63TH/hQ02gp8MSoNBn//CMX9MUJalR/j1mGZV88ijUTDc2bbxvwxft7PLTfx9Y9+kmAL8gvNJW/f6GDR3y3FOTlVIsLPtMLTDk2T6TT46bE2llQb9LgUhpR2hlClALdMfOg/JxSbCBKGCmt9BeOnBgNhssjAG36tdp9FzT3B4rNO318JUmEQithEDamFsCGuQBj3W4Bo/uoCPc602jpTOeR8cYFT5fgXTwplupRUI8w99jzXIqIAtRSlXZvSLdM0SVwFyDPymYtWhcjlHW6CZNWo0D3crZ2d6VcgOn7IVGY8MWv13j2RA08DyFVCqos+WVHT2z5Ih6/wLOlNztx2XEcmx9jsukEJbswDDWXb4l53a1d9hyrMox9EunRNwo/YeyzZF44YwwuciIqfxZUdrEZjBKojCWlwCqQttDj+YoqQZrSLENTrBr52DchEMaOkBoXeXyuFa5cLJY3Udtio6ssCxsnEMfQ6sBKO6HXj+j1Y/S+PZ9FKUW322XzOkV34DYVDSO3mWscG7cfo0z3WxFgZCnYLMmUEfa+iDTJT/Q4c5dZOwssRwLMYgeCQpqUrMKcsTOAF5NTc4mSMrdjbJsztc4fi+deGlxqFRH4IU8fF3zp/hq9vg91DymyykFK9uBFspil71k+KFktijtogtFB8mMJn1IBVhh5NBohr7tlyKfvGbDnSADaZ2AkfqrFlQGVUJIJIBJcskQIN6+h7DKrAkhalYwE6dg8Y80syDfWgV2aItEmTOGm5OfSlCscy6uye3/xHPgoyLJsoxaMnZjyHpwQxRAlEIZu25d213D7Vx7mvof2kSQxul7ZixAWjcTMVFluuQmmg1AwDAVDIZyXGhuS9GCVx+FiR9kgfzrC2uKCq/eiLC5LDF7W3DnInd4uZzOVSisM04pC186VPtfl+eBj4E7vXjaFNi3w1yp2dx3heRGxTfjcfVXufboKFQ3SNTR7pRLekdLY8r384hsxVDmIyprKU0clMXIE6MOBx8uu6vGGF/d45niFOPawQtEXGi8h/0wiKVi8+AgXZ/KyK6ZUypbSsbl7nW0FWXazHMhNOchMGXyEvcf0d9k9uRi4R45P6Rhl0iTbpjCKIYzIR0wPw4Ru37DYjjnTmUfqBbAW/Z5PTxAbQbNquGqzZW7C8YtOdW25Ei3jHWHSJSsVQBf1xMusnYH8Ytq71NZV3llgBNgjUqWcpi/d0x0LCqCX7rrYBDUDtFcCdeacOMfEPSoV4XsRTxyTfPSuBuCD9BBC5V1EKk1bl7OuZcbKjkBWTziyxmWgYvQE5hrcCkwi8gFKxT7xGms1b3tFnzu/PuCRw26SQGQUvUSkBV8p6JIMUHb0XJQ+i7XWsXgZ6I7Y04vQYmS6n09GbJn2limbC/eYr7im5OTIAsz5/JYc4PabApxycFmSI2E66as/MPSHsZujHsKmObj5OsHaWUEYCfSuDQ2wAilifDVIdz+A3kACkjBKB8ykkXJ2mKy1CFuctvHbhdJE5K9lCQSjS1jK0kI4JyXTdhlz5I5KCeRpa1qx2ZRNwZ4NwC/APcLapcessTaTKkrFeF5MlMTc/VCVpw5VwfNAuuDSF7Y0ObYcWI1u4jRK3qPQsqUneQNEqUZkpLowcZPCXCmtZhh6XLljwMtudCzeTxyLD4XPwLjt0fPAL8nswrTGIyldZNi097Fg8nxlkWCVRdosB+ICUWEFVoC0opAqI3Zh+WJ38qUsT0YBXmDiojKl9HlGtm1PtXecOFnS6SX0h+6Po1hz8kyDlVWfxBj0DVc420jYGF/3qQWuKyOO3ZSolbZMEzqZae/AdvEcz0U8lBFrcFyajDomo3vEjNWfCPK9d/Ldi7Pm25GGh2LrEqXGwF0aip+7JypB6RLAU4ni64iDZwV/+sUGw8iDmpfKE/LWNFXeJbjsnJTP2HNJFDsK9JExZ6YEdHsxLa6pB5IfeV2Pz91bZ/9pd/ElRtFLlKsyTNLkD8Lp7yQdyzF2njKBWQa4LCX1ZKrRpbFY6c6RlcIB3IgiVsqY3BSO2Hh9kcm095iTluNFjByeC49V6pqU//12z3L0LITGnZOFdsJqL6JWdRME1J+9/xfXrpvr/ZeqfHL37NQqs1MtKsEqdz1pOXQiYBgK4sSN2LKlD5EnMsbuGQPLPBgsPReyJDlkau1l44DTRyVHLL/xezYyoexx54+60N3OQRkFd3mvnqKYKt39QUd5M4OnQxIZ8oHP1vjglyYhCEBVUEpTU5aqsuk4CvIGZ6/UGldkUsuJKEkxGZaRALWIJQrbMbtohSRt/C16IZW0CGvYvC7k9KLk0ad84rQR3AiFEK6UdjTBMsaY2apiy+uLGFlVcnBZOwK63PlhTNrYdMBm9rM8ThuVP+XtB8uD8sd/frHxy9lnVenwpnUzfarNZR45ZDjXtiz3E863Q6574dXrXvbym7+sP/rFlcmTZ+3rv3S/QkqVbr2tOHG2yvp6wtY5qPoSpcu6WVxISmLkYUR3l5ekCyVJWYOnS12ZtUfqwO2I9pY5GApJokraW+U7PZQ2olJ2TJJklYIZe0d4OuLAGcmHv1LDzV9x7J137mfvLxgZL1y04I0GmqL8IgfQGDjMaKYus8Rc4FmMozaJIlGpFk803//KHp+8u8beUx7IECskg8RDI4raEAEiSdGRZImfDKol6WTda4t1Gjz9bDJLqliQ1smWTHdL697DmtQfN07emAsy01xYXJctdCXsiHIMXMaWLf5OpoRWCyxb11tePR3xiuu7WAxCwnAIazesvL5ePzWpDx6znDijOHBoAqHcfApfCyaqlqp2OicxztR3EwnKu+Hm1/1FbMFStDwC9DFZUtaxcvR5GeCuiyTT36XnGZCzardMg5fA7SaymvTR2YFKGVTmd6sYJWNUKk8SFfPZ++rsPVhobymk877zDpqxk1dadkdfl47RRZbf8QbkEU+8NJFKG+FqU2SRwg8jzeWXDnnji7sc/nBAmCgQmkRo+kKgk9S+Iwt0M0elZBNiixA41UvWFjGBwkkTa22qxdO7sEWKXzjrWFqBEYWFWI6xTPbcMAL8C8A9JlcujOWcJMz2Ph1GHmE4ze5NAzztJveEoaE6afGCED03qUgGkt0b3NVlUv/S99ysbE+LdExJKfjLvN0xIBeP7oUUoyyepa4FYiwYGa8cLD8WrJ29VpK8AF/JgrlzoKsykxe6W2VBZLbFiTRoWQzNVyrB8yKOnFX8z080GUiPbIJW0TWfriDlGujyyRo5M899G12+UzcjT0OXalNKqftyfUpiNHHiESQx/+wtXf767hqHz2hQERhNJDz6QqCSoppPloPNMZBnUZYFdHbBpT+T1qXnLTZl7cwTNyNsbtP3MdL9NyMr87ixUALuCNC/AbDzFT7dijKMBK2ORxRLlrwKUlqSRDAME9ZurFFvVNDrZzXKeGxd55MYSRgbt8usFOmwnEJLZvp5NEAoMXUmS0pLTxaY5h8yXaIuxoBlYIsx1s4SKZkkcaA3hUSRowyuR/ztFMwjfnfpLh2LezqkHRre++kmp88HoHRqDcpUntgR3zt/zoWslH3vkQzmxYBelip540G5RzNzEGR+z5shpCKJNRvnhvzUmzr8xp/6tCIXEFgrGRrlbMMk+xzWZepyYVKAvPh/9xuVXoXWkjO3yjKbWQAqbcHgtnTuLI7J02NhxNiqdsGqPmZEjLN4+m/a9FgngIgzcpWEsbvIjIUwErS7CaH2mBgodKOaYCYt2zcq2j1Nt2+IYtf9MVKxJ0XB4iNXYClwGfv56Mm+MKq+GHPnxfMj3TtFcX3G2lnja+Z/50yuTcroJpcmTo6YklTJGDvOH7WK0EHExz8X8J6PNRkaz8kToXJ5kjcVj1liI7o7/+7jIvLiLJ7hqrAKy6DPUvYWY0ye3cxT+MZtBV7RMe98a5cDx33e/1mnxUGRCMnAuIBTJuQMXhRgZSgqknUjJdEWVCZVMlBbm84OTANEkQbD2faQpWNjRVGXbsuAzs71CIuLC1l8TL6I8vumu7NFscMoQBQLun3L+aWE6pRB+hZtVYiRAzx/yLQOsEii2DifOw8Exzzr8Q/xHFLlYsC+KLjLwL6IPJHpQXRNxqUtA1XZdTAlqZKBucTksqgOzHV3/uhmDS6vwF9/pcbKMAO3A7gnnfbWYlSejKw6mV1WwnMO6xK+y1o7lyrpL0aq+sqb5JY6ffI6cSlRRmGMJk40E37CW17V45P31VjqKJARGEWE0+Pj1YWjl9xzM7nLAxVJoaw+RTHK4g7QBdMaO3qOHYuniadczpQIcqTvsoSlC/Q3aRlAdnd/YK0D+3IrITZtkF2MqKH3HfdYXFScPSXYti6t0PNk8dVF9oblrNMYmEeuxNHoeBzo48DIgoaiJa1U11Gu8cgDy3KDwWhQmQ2nKcCdjASYWZCZ7XOjS+zt1WI+99UKDz1VxZS0t2tqyOTJaL1JXmtRYpny9x4vMrvwlrLnSFGRpVxCa0rAz4NOK1G28MXjxEObmJuuCvnOF/X488/7oEIQEisEQ6NRQrgtSEr5jNESuZImL/ngKuuRsO74lwNQKVJNLp0mLpjbAV0I56hk59uWsFBmd0qkKTLffpwoShdD7qiUjq8VzomSUnLpJsGV22FyEvRLrgxprQ55MBpwaqFOs+bGLZSXENLl8rlu4/JElt98DNi50yDthYFmuWCpLEtEAezCRUlfK4tOR4xJmTom0qa6uiRJMsdEliSKdO5J4EUcPiH50881ONfx3X7X6Xg6JSh2bLjI6nMxXSngouw9fhtJ9JSYfXyrxZG9Rkt14kpmj277k7X1hB/9zi73PRVweF6CiACFQTIQsrSJlCOVDC25jVm+4Mp8nmcz0/OQsXkJ8EJmzorASptbwDYHepFRLYLNklzK2dgW7Zhi3I7OPs/oa4GTz0oJ1s9KDp316e7xmZ310c8eFywtCQ6ccFt0aKUJfPIrF0Z3qC2fkPI5HI+EM5Cn8qiI5NN/N9fcYlRzizyYLO8/nwF+DOT5jOzx50muvTMW19k4YBWjZIJObUHfjxgmhj/8SJN7H6umPXraaW8pXdeOKOav5M0E2cXI6IU7zuQjx2j8VI0nMxjV4qPls+UyWtduZjJHJTHEUqNizcuuD/npt7X55T/0GcbSZaCMJE5dFWlE6bM5kJfHOGBdSxqlz+dei1JskHbXWwdcV2GYdn6lIBfSYoTIj5e1pcIvWSLBEVYv8DNCmqX3HU0EFf0HSgp83zWa795i2bojZnIqQksbYJM6Wk0wM6moV92MPiWL7FKSpHOsTQHycqr+AlnCOLPZEfYTJWDnAebI5KpxcKdb8qkxeSJt/jO3bbYpSZTyPWPvJB0oGecM7vkxdz3i8cl7awxDD6o61945e+eBLSP3C5i7hOIc7IgRoJcRbssnL80ijoIbrEpZ0ozWiidGIo0sdrVLO/CrtZi3vKzPHff2ufMR5WxDJAhJJDT9jGxy7rMjcsXKzGMppfAdrxd1KTLNZgpQ6ffLs5tCYHLpkkoHUQJ3ptPlOE6K1aQsVUaPl01dJet2ETFu9J1NAR4by1JL0axWkaaCNB7a9wQTdcHWdYqJJlT8BE+7N3JRqiCKXHlinC4ZZizTNBJYjgC8GORT7pLPhm3msqSUzCn/LHcs8lmEtnBQRqzBbBKqyZ/nrJ3dVQFunYLb9yJWu5bP3Vdj/9mKkybClcSKTHsLShOkLrxQ8+9BcWJGl/xvfHNeuMgtufEWrRzcFwwHKmpUpFRIkyCNJhpqdq6L+M6XdHlor08rTNOvxunxEEW2D4Qk9cZHymiLNcfikjsFuTvGLJohMjanaHMrMbZNdbm9gAxsKl3GWtoyTGeB8Njhc/apa8aJYnePY0uSyiBvIOgPEpaVZf1mSaWm0RvmDBOBQUcRtaqrzVBpZBzGkv5A0SPd89KmBTel2Y4XA7fMyiQzuSJHGVukEqUsR0alSgnYWXCnir/NJInMAVwCuRwLKLNETtlFka5T3pDwZ5+v8p5PNLBCO997hL0ptPeINXgh0BHl43HxbfXG2XukNYsxUJfbBEcKr0S+jYcxbtt0I50vrqQhSjykMrzzzT0OnfF4zyc1UVyA3CAYCoky2SCJFNwlTV7Yl8JlcLLPnMlWYfMuG5uu9Db9WQZoI9zFYUTWdT/aSmdFMQEAip5OIQTC2twZKdut1ti8JjyKLf2hu0dJ5uQIfGWAhDMLEUbF6E1rugzqHZqyhe8rPJWAsBgj6Q18FlcrhJE3cn4u5leOAPsClhsdrJnr1xKgy1JF5TPois2W5MWYO52Pl7kkckSejO5Zr9K9Z5wGj/D8iEPnJJ+8u06360FVXcjeec13ycIURYJHlL77+HP45kmegsFLoC9JlvLcEmOyeo8S0LNdpY3ESKfFpdREUUKjHvPm23p88WtVDp1N069uQDWJEPTLnzQDd1bfn0kDmWU37WiNuEillCwKq4xIPfNS0wrpcbM2lS2l2n/njZcYPSHNs6RYuciowPIxixNLq2dZ7Ai6Q0FsBRLXXG5iy/p5w1Am6CipY8UqjfoqjXqM0gkCN7agMgjo9ueIYp8odjo8r+gacUXshTLkGwB7hAFLLkn+Oh0HVg4uy4kdKcqD2TPnxIxstyFLskTK1DFJmVzrmGFkuOPBOl95vOqGg0vPAXyMvXMHpxQwFRf0qP7OmXwswPxmt5zNy5V35cBeFjLFpluRON1tCpliJImQqERihCIaal51bcirbupz8gseQ+N0eKojiNEMhZMb0qRAEqIwsFNgqRxehYOhMm2dpfgzQJOxbuqwCJGn78uBZgZ0O4IR17uZ/VuFLy5yG1CItEVOQ6QlvTjhTDekExqMdX+vlKSCpVL1mG5W0Du2b1q9//HVL37sjup3J2aIVE6rCSAQgsA6nabVaH12BvKRk54DvKyxx16P1XAUlmAB/gtYOwe6yX9X3n1gXH+rPP2elJ7HSOk6daQfc88jPr/5JxMkVhfOiVQI4Yb7Zy1pBWOXVp3S970Ye/8NkpgFsjNpcoFMsSNyxZBNvUqLscRFNLl03rgwmjg2+H7CL/x4m/2nNPc8LDG+SCHrvkBkFP0cQpkOyWTJRTR57oWnGebs80qbsnoKaJlJmsxJoQR0kV8EUriLt0hClR2orDfXXXAuxslKj6FZ16zf0Ofl/iq+GiAy3SwEQtaYXht8sTGxfVW/+Ic+M6+keFevv+m7F1cHmLRFTUqYCCyXrIUdGxMmGm6zVI0rV7wwWCxJjTKwS/r7gr8Rpbl2JZDLXHOXrcESsEeeXwju7GfugnAgL1g85uSi5I8+1eDY6QBqOmfunL1Fpr1HW9IuuMPYSbmIi5QBSFwI7hEdnnnelOwwypq85Ivn/rjESJun7aUxJDJlc6OII4/tG0Le+d1djhz1Ob4iQEQpU7uUT+iGZBefs8zkmSZPoa7SKzcLNnO5kj0KJ1tkusGasKlESctnpSiC0BzcJpU1iLTtLU38pDPPMx8dSAc7uT1NJxuCyzZ7bN/QpFELUNKkrX1gbA0rHnsXPDKvr9/mCqgGQ1hetYRxQpRWoFV8mKhLLDYdI5HaBZSX6DFr7yIgHgV7KZAcYfKCseVFpIkc09wjAB+/q3JgmZbCps8TP+FPPz3Bp75ax1bSzbSk099CyJF+y6K/8Rt0zOdAzlB+EaYe+3Ge4Bkl8kKmwEigOTq/sATskha31hQ1KiIFu9DIfsJbXt7n2SMe736fJgzikSvSGo9hWjsjMnmSWJCZ9i62Wc/ArESx3UFqAKWSpLAPs9qTLKvpmDh7a+e4yFSSZBcCsrjI5NhqliV9snEhQsDiqiZOmtQqMUJAFEt6A4GhhpA+WIPeusFDSkEYCqabhpW263EDt59kJZAoJSn2YCwCyhzQI8NvSjp7BOwpwMfAnQF7BOSln5cZXAmT+t5Fh0vO4DIpHmUZ3AmyVHty58MBf/KFOoMknYIvMmvQbWLqCzuivS+ami8Dnedg9XGp8lwFV2lwZ8tsWbYJsReU0FpZymzKkrMilCvMkmlxljQkRhN4hh9/Q5ev7/G583EnQTNvHCkwVjPMSv6MLR5H0vdFAijzv3PQl0FO4aLIDMiQTYnLs5rSFP64TC8IW7oQ8jSodQFnmRRckAn9odsIbRg51m11FQvLrulBee6/1S+6socQEmtDnj4UcnpJ4XvuKvG1oOIrfC3zITsjd1ECdylRk+/MkA9Fvwj4c/YeB/Uo0J0XbkpAH90QacQDL9d2l4EuY5SO6A3hXX88wZHTAVYXuyWPau9ic6uLJna4EMSl2LIAcobnbyDIR4cmjWc0y8VXdkSmjNemGJlWHMpRFheJQQiNDA2XbIz4pZ9o8fV/F9AZpF/G5B+SBM3QlmTKGMitJN2O3eYZR4vr+7QiBXc2gTjFQW4nZsDOHrNiK1mAO2NwjMhXguy9Raq/jXBKIk5cLbgUAoskTlyLYjXoc2ox4uT5OpUgcWXfV+2KuenamHqzzz3PtDl13mUNA09QCRS+r/L9bIoBOxeWrxaPY/Uiedd7uRjKlhIyhe2nL0i921LKfVRrFy5JMqK7cxdFZdrbzTiJE/i9jzd4fF/Fed4yY+7COfFEeZCmzTfCGs2+jlmEI+5JyRF4Dr6+6I9KMqRogBAjQWe56Ko8qHO0RiUbNyFLlYeuOcIYxXW7I372e1v4Okq37ojd3UZgExILgwQGRhAZiGw6ZCcfCDr6vHg9+rPEZr+DJJ2OlmQz5k3xO5OQ/symW7iQTlLL/i7LXJJPWUuMG0QVRjAMYTB0M3yMhS1rY1587QLBpOBcPM2qbKJPhv+EqWqdp88+xalTn2XrGrfzbyVQBL5K95Ikvxed7KPgLlf9FWWu5SGQxQUhxJgMyVm9xOb571O3RBjkiBZPRphcXsDajrm1itGVhC8/GPD+jzdo9T3nAaaeN2mTbsbeWdYya66QclSHF6PZLjKDsJzgSV8VzD6KcfsckC9bhqM6XIyxdjoVNpMk+dhli0nzGIlUSGtcvUqsaFYMP/nWHo8+E3DHAwpqItMTpKY1CZKhuZDJLa6IyqbSIsty2tR5lCZl85TJM8WTSReZBaFC5E0vACKVLiatb7ECkDZdLdIjIoqjI3BvYEurWFb1OL9cZd3kBL/+L25hau21xGEHPVELqAUVNkz7XLlVUw08Al9SCdKNUj3yrT901lxQAnfekJCD+2IJnDFJUv79WGJnfB/GvJtcjGpuKU2a4SxsQZnq7axKUMoYqWP2HdP8z482ObTkpfveZ66JJqsY9IS9sJl4PKhkjLkpAVsUakQwjuoxlVJK7OQgH9PdRVFbaX7huEc+UoSVFmJZk28qKzKpIixCamRk2DGd8M++r8Oxc5qDpwVWlwWWAOkRG8mg/GHzoFKkTomTK1aCMmnmUzrd7C6AokKx7LKIDORp1rEsXaSA3DLJtDili1ymdTlYF1DbzD3KWvkEUexx+nyDyY01ptdWiJMY3Y8SdJTQjxKEgqkJz+3n7pEPwB+VHeMlrKOlrRfoaFEAuWB1OxaEXsjaZfdkBOCloqpMijhwp5JHFtLED2LOtQTvel+TT95Vw3qldHwqTS7G3kXd98WLxMrFZeUCs1xyizGQj9H4CGuPgZ0RsD+XLy7y0okiAM06f2Qa4GXP0+AzMcRoPGl4y8v7tIaSn/9txfyqgGCcyfUIyI0oBcFZEijT4cIFnzadduZWPqepM+DmmjvT6hljC/JANA9WxWh/aFYCkM+nN8btNJFAJA1RLAgjSRhKBkNFoxpSrQ6oVYcIG6KTRGEIzmHVlzatm3tt1RtQDdKNRtW4B1xq17qonXcR228cxOMB6Di4R14byvZgMReksANlDm7nmrjXrtYkxPDZ++t8+eFaWmuSBpbpDJGCvUtzSkrsfdFiqpL+liVgFxbYGGGLi6H6QrlywSyQ7ASb0brrjLll6qZkejwRAiHS7GbqrEgpMValP5MI6yoOA215zYsGvPHWHh/8outpzItuMsqlALmrPyqn8YtAUKVXsk0BnRZFkm1gkP08SwCNuCm5oyLy60uKLIGUAlqmJQBCpL3CmeQVuK3DRRrLCbSKmZ6aw1PBl+qN6jmbhKg/+oP/wVvfdNvqVEOvNqvJD5rwHFNNQa1iCPxivnbW+1hmbV3qh1Rjz+V40FkKJvOOeGXGGhgMFzQQj4C67H0nJUZPU/B5UBmTSMOn763y//zRBEfPBWkTg5svSNqxI6QgkFCRbpC9FqRb85VlWPadigugGClXbKvifi7Jt1URo0P63aQuWRRuyazgbMyZkqMX12gsM5YNzmRfVqzE6H9fLpcoN6BgLNPNhMsvjTl5XnHwhHbbxuZXY3G1GpH64LlNPKbDSo4KuWc+psmyBNHFru8suM7/jbGVbOziz4LROLHpAE7LMLQMI0O/P2Ttuu2gpv9/T+w59uANL7rN7dHTrHWQ0mf9TIum7ICs5FtpRLEkiiVJ4pZFAJnuaFsOGjM5UWbvMlPLss7On2d/Vw44C1tQioK5lTQFo6uCtWXJ886ylZ6XcHRR8v5P1Nl/OICGyhnbJXb0hew9ksyxIwx90SymzM5bceLLBD5ei+JeF3XGFw0uEbhh9CV2z4MpV2NdZDfdUm5MmiE07qLKAlCRM7tM3R0nVYQ1GKOJhpbdOyJ+/C0dHn7K59hCaanKArz0eZynElONnTNxYQNmAabEbV5VZm5nrYtSfbjN2bocjOY1LLZEIpR99eKYxAbi2BJlTowVdPqW6Q0R02sH9Achbh0Cduy4lCCo8ez+Dr3eo2yaGRDGHsNQ0+n5dPqaEHnBIMXnyjwWiZ5RvS3KYBfPAfASsIUYHVnmiqwyxi6YW8kEJVLXRMcsdwS/+8Emdz9eKVUJ6lLW0iV1AjFac1Le1/GCwZpjQJdjr8uauyxbvtFtnMEuqCocYbBMsjg5kLkpUmTgLw/ulAjh3BQ3fN46HS4sQigS3LFNeoaXXzvkX7yjza/98SQrvQLI7upJvyiaOAW9LUsSKZyEEqmXnUoWKzJAO6tVpd/HZFusyNG0fS5hSno9r1ZMXZhM0uAWIKLI0h3Cal8yiAWDyDIzA5dfvoHLLr+afr+XX6PUJ9ZRnbz6jn2Her8ZJ5OsnVmlUjlPvb7ARGPgwgsrcmAX/vTYDBJZGm6pzZiHnYw1IBR9lKrki8u0KjArfc3BXfa9x8GduScqZiAsf/iJOu/7eINO5Dn7R2QpeS8PLLVIt/0o6e6y9hZcmL0sM/Vo/Xf2emyDJb75rZydK8pkx3zx8t+MJHzG9tcpl9aWnBVb2i3CGJV2BDk93tDw02/t8M63dKja2KGw7I+bGGwM1hIbGFoYGAgzr9wIYguxLYbTF564KPnhZXnh7okR+X8TJSkrZ/fEyZC45J9nW59nRtRST7AUD2mZAWdWDHMTDSqs/OYrbtp1x5bN6wsG96vbuecL/6m3aco7Ot1I+MpTCR++a4LpiuD67R6NqpcnYkRuD9oCoGPOiSgFj0VprIWSRShwzCzGgktRclEK5ra55hZilMGzoFLJGKsNzx70+cs7arQj7fxuMjtQ5+wtKFyTrKiqXD6gSoD+htnLEsjLry8sSfnGUM/T9WU9mluEhfaU+Yg3Meos2HRLPSmRtszu0i3vxiCEcJWGKYsLYZHWEseGRhDz9td0+dIDPk8ccGPWRqK+fMNkTWIEw8wNMZk37v4bm6bnTSpZlE09czlaZCXS+vG0UJBs+0NjHcnks1WsGzZE1miT5SWkIPAEL1oP1+1epVnr8cE7qyx1tvDgnpWj9/7cu3p/+nu/VAAcoLb+TTTrVT746bv44CctVVVj/SRUrM9lmxWTDZMGcTZl13GAF3dRkiBiDNx54JMCV5Qly4judstoLktExuRJ/lgEmzHKS3jyiM/P/uYUTx0MsJ4clSapBi9swaLm5IKdGi5iDV5Uj2ftaTmML0T434TFy4J8vObiQrswtdjShItJh/Fkzoqr2isGBonUXZHZxCwrEVYiTCpZsIjQcs2lEb//86v89H8WPHUoDU5k6cPkIHdd+sN0yI8DtwvSLW5eikovWoNzQByQS5tUpe1o2bxCZ6E7ADvg26LmPF3BNK70VgGeFkzUFZdu1ly2bi1rZ7r82o+tIBsbWbPp9SRJjwsBXltDrVajoafY2tTMTcF0UzNR15nFn8uTbCRx4ZKY9MObkaaGPINJ+lxeCHyRBayiCCzFmPddBrcqAVymyRztJXSs5A8+UeOJZwISXWJtUaoYRBSBZUl3jxZ/lUAt7SighRhhdMZAz9jzb4ZwOwbsMsJtuU9z5OcZs49646RFWTKVJiIFuzCpfZiC2QiJEBKBJRG5OkYLy3VXDPmnb+7yC7/j0YkFeGVgZ88zuEmi1PLz00SQFq4sNmPwvM6EdPWx7qIQoiiNzWLajNkzb9yYwsTIjo0QFp1+VwGsdgSHTtZYafvUgoBLZ9azbs06orCXH9cc4I2aR73uH9q6oX74qksndwgiJhoekw1BNbhw22utCuvu4sxdbGMn08SAy07Zkq4ts7cpAJ9VDpaCS1mSJE6eOFmivZieEbz/k3U++uU6vX4/dgAAOsFJREFUQ5VKEZmxdiFNZMbeue6235i9xxm7HEyOBJbi/23vvePtuMpz/+9a03Y/VV1H1ZJsyTZucu+mmgAONpAbSG5IAS4JJSSYcLmU8LsJkHtDS0ICN/QkBDDGMS3EdjC2KcY2Nu6SJVmS1Y+k03ebmbV+f6wpa/Y5Ry6xMeTe9fls7b3nbO0y88w7z/u8LQf3LGQ/Hj3ptd5WeipFHp7iq9eip3xbzAoGGcutM2VFIrRGpFRFGXVFaIdYafxIc9WlTR7e7fLZ62rMhBhrUAC5zuiKRhAl31elzm+qnAgTulciB63MrHlquUXPFVIXjoGjBMrJx1iCoShuBK1uzOS0BFxmWg59jSEWtvt2aBFsj1SU7dO0zI6PfPgved5zL9vRqFcWxOH0hVLPMNCQ9FUVtYqiHMSU/Bjfi/GtIU7ZrZAMpQuadR6kmSNDMItMJieK7Wxm/8fm3MrK746ZCQWf+WaVP/90H4fGEqfS6kyV0RQpcQUE0rSC8BLrkOrexb7jdl8W6wSQxVmQvSNWCsOypDX6ZdZ2Cu9TSORKC0TybFbTj71w8tlXwB5VB2Zvy07OxPBk2/NZ8ulq1GNOO6HLVFPw4A7XBIEK56rNyQyaVUJHFCKJdOZyZqqNq/TkTV9vnbSmRV2eepBnTBZP5GJgzIy5jCIzxqSvfzGLl678mz2P7f77jZueM9uCA1QrPr5f+s7wgHxJxZHPKQUh5UATeDGBnwI77xiVgVdYO07mNsjECqx55em9SCy6UJbVV5ZjaltthSNiRHayRJkllyXN9d+p8IG/r3Nw3DXhV2nnmaTatwmwFB3L3oilzipbZgEjpSfkAMoTrOzbkyHec1tzbVMRi6rAfKF7koQrENro39JSVdJtQuXcXGgQSllUxTjjAk3Y1Szuj3nX70xxdEryT9+uQSnZKbYlT625MA3hFJKQJAswUalcYTh4OpzWyU7AJDhVoHvaOkmlFcwyA9FimWYhmnTZKIJuqGi2FZWSw8R0/DPXC77TDVVhnxYAfs65F/H9b7/nh0uHxF3tcvc5ki6+pzPJz+3Jvy6AWyQX2MIJnmtcaaAjjbgxi86oHrqiclALWzFJpMFAsX2vyz98u8qBwx6UpBXIsaTBpHDSTa62eRFxT0Sw10L2gNfOOzG/xz46ZIh/otjWx9iYGaus4CGhvvNp5IhMH9cWBxciCemLvFhZJEEYpWWmkQuVlhab51FXs3go5tUvavLje3127PPBJ1FUogTkeo6vb6rblTBdmmMBbuIYSq2Js6uK1cBVFwNmuUqVT6hwlLmyehLcGDoRtGSSTiI1lQ7w2Mxdj3z2X3/4hU/+6fwABzhhfQUhJIf2H0FHk7huPhs8j1jmDqBIFBKR/maR/naR/Wysp8K29j3gTt8vtd4m0BMjhKWciBjHV+zY7/KeT/Rx809LENiWu/dmRSzTjEHmLmaYK6nK7hYgLZDbVrs3B6VwoHr4fA5eCrJgCuZiS2UbyHZ+uIkgZtJhQR+fnZSVW3GZAFogSBxPlQNbJeoKaFRbc8lpbd7/xkne/YkGj+5PQI5jLHly3M0bqML+Tuf0xBh93BHm+uCI4r451smfvsYhmZ4nRJIMZ4AfJyeT1IqRBQGrhhailJr1XrMA3rfk5QjhdjudT9OZ2ULgCSRluqEPkDuDUiXOY+bjJgcnvwesx/YIudzaZ3r4LAseZ/ci5d8ixvEUu0Zd3vt3Da65sUJXJFUYZlpTj+U24DOOZa/VtjMF9SwuXChksFYvcG1Wckzrbf+xx/jpnk0F5aQH/BnY0wiiLR326ONp9X1qxXOVJXU2Tb2tEok1J3E+E6ez5Ma84rIWsYJ3/02D3aOBUVaOuUzubMa3BUQkUmCqkvScwJBw8eS8SfdHmk8vE7qTghwhaEUKT07hy5ChpSt5/W+8tBtGEX/3gT84NsBxl+L51au//+ApJ3z5mzMXXXDyPn7r+TMASWeoRHtOQJrucNNtKffeyapSROGgZo0eRZHepLy7aMFzcDsixnEVuw+7/MlfNbj2pgpdmYxem8dyp7JgxgfnsN6zVZMnkIdSVLxzoCc5H0+RgveI4HPkgcNsHk5ChbXIixFEHukUPVY8C+OnIE/uldaZwmJ4g0MUgefG/NrzW7gOvPPjfew+7M+FmgK4zWRZkR0DrYWhLFBoN2if0PklTVm33Hh2hcA0ZXIQUuDHmv9yUcgV51cZWj7y/ePXL7t6arI9G869G4Kgxtevv2Gq4vVtPXmkcf6SWseZnBYMNKYI/DZChByegMMTsHyholYxO0lrM/krbSum03stMj6ZA9ySETFXg6Ilt64SCbiFE7N/zOVdf9Pg2hsrdFO5Yy5gJ9ZbCvLBUcyd551p8hQz8SC3NvPx8Qzh2V12iTrmJXiuA5xx67mw3gvsVEjURZqSMweR3euUgyuRzKnM+XnOy1PQG5CjHdOeT5oaSJeYqy5rEcXwjr/q58CYR5InOze47X3Rs/d07/8pgDoCHUMc4RHj6JhqVbFoYczYuMPRCZ+QEsot0ag6HD48yI49g/HI2uGt2+7996lNp1z2+ABPD6xg+o3nnS42V53WKeWgQ6Ra3Lsl5q4tAf9+d5lb7vF4xSUtNq7oMtQfccVFHerlLp2Oj1KuqSTp4YOkP3EWD7eALXNLLhJwS0cReYK//0aVa/4tsdyiF9wWB8dELF3Z2/p4tvUuqCbkzuVc7SFs/dt8955pF/ZxfaLgnvUgV1KygE9W4ZM4OD0WXemkwMxWVqzc8YyDk1rzlKKkXJyEomhUpoAZa66SL+eieMXzW2zd6fGhz9aJgEJnThO3zH+ASOSWLBFc9OwgG9xxAm4zgL6v1OFlF88w3BexcWXElRd3ueUej5vv9rlrS4V7Hh2g06mz+4jigT3OfetHp9+4eLg+5/6dE+Ave8nz+Mw//WMMa3Q52sHSRdP83bVl/uW2fh55rGI4r4TPfCeCMKRaa7HjwDgvv6jJSau7dNoJiJWTFMXKWQdezElPVM670+eOAldwww9LfPmGMh3pJKa2JwW2AHhRkAXtIuJe6/14TX1sZaTXQRLWP73Sof36xwW3BexZVjsDvM3DhRX0sVtNJLQlpSpWIEjb1jw5Jjqp5RSZdTe5qkKDUmm/B8PJtQJfKF71vCZ3Puzybz+qJPWTKVilJajb1yM73i+Lv16l4E4A3u1yypomv3rRNG99VYtqVRJ3PbrdCs89HS4/K+KRPRNce1uHT10Hy5YEXPmCxdp3j8QnnfqyJw5wgPPOei4qan5558MPrP/fX21Vv/BvQzgEDAyaHxFrQVdpulHETNfnzz7vcd+jY/z9O47SCCAMRRKmFVlFCpl1SKW41HqbYI55HiNkbJRVVyNc+OZtJa7+eIOHdvomgWo+cGPALWQCbqxcE3oDK3qWpe6NYCbQnaWH579hTraSPdA8zprnBXkIP2l6YwPeuhW5dxL80CLBpZ4V3Uyteep8ikQTV0lOasrJlQIhpAm+mCOYwFNz4touH37rJG934Nu3VRKZIwGzIjkeNsBzl3FW0g2mE6yhJSED1Q7vfu0YLzs/otMtM3a0RBj6hLFrmk4BQ/WY17+4TeCNsfvIGZx22ksJfB/47ScH8A1rF+mvf+vajx+ZOvmNt9w5VV075Jmk9sRiRDE0I8Fk6DEpJJGCex7qcvuD01x+dpcoMsBNGy5iXfrMvcpAbnNvIYxaIh2NcAXX31rmv/9NAm4v7Rk3Fz2RGeJc8oloqfW2c7vnSqQqzNuZTy6cB8g9D4+5rXCAc8ZR2G6srD35rBfoomDui/ychEuLRJEQ1vNU2eh1PmUSGZRZsC614EZRSb+cRHQ1J6wK+dAfTCIFfPOWMiCLxtlObBc2wGXPTlBk8cyO4pzTW5yyISaMSkw3qzTbZdpdn27oEsempeDhcWNSLtrUIa6vncBt/LWSpXltybwAB1ix/GQG+6d46dkPsv/QBLsOmkg4mPzdZkcQdEBryVg3oN32OTLtUBg1lh7sFNgWB5fCBrbh3FIokxflCK6/zYD7ge0++E7uVGIBPO3QlIjVuaTU2zzTBnpKV2ZbYjHXtuw3WLTF5t+W95m/1vJW50C6TUWKZVvWa3q08pxuqDzAo8mz7gqa+FzPrYb6JpSSFU+IdGqx1okKZgAqtMklMu/lmCSobsyJq0P+/Pcn0Rq+dVs5xf/sMzxtKp4WZBa0V+uxgsFaTDmQdMKAVqfEdKvEdLNEq530OBemfPLRvQ7tcBG/+vITJpxo35dqjbXzYlhyjDWybGln9VL1hovPa8zsn4wo+4LhPsnCAcnCfslQDRqBou5pXCehB9r8qFQ2tI/unOCWViJV0ppNO4Jv/7DMO/+qwQM7esBt8ewiRTGfk0mCWHMtBcWSNOYGdiE7kKJzKZI/9II+x2/+Zo/nZ85rbrIeCz1Ap2ih82zCHtqCSOTZ/Hku3dq5HsVtdn8RpWRWpZ8WSmisPuTKMbcunLQ65ENvmuRF57WSiobYchqTG5bsVyhfSveZHX02zmgUeXS6PtPNEkcnShw4Umb/kTKjRw3YhwcmGI2GZ3Ydct9Q71veOda+PqYFdxhVS5evvGNs+vmTFffz1f4+GGx4+J6Zh7J/tEuzE1NKCnQXLgxZv0QRtkpEsZcl25BkiZHkqdiWO39s2lYoKfjuj0u8/WMNHnrUBrcVis/4drINA3Anoyc9rdcsQM/ZX9Cu2rGcfRvctkRYVFTELOeysJ6MXGjd7LC9rZoU0mZtpzQVJIQV/EnywYvqSmK9bWtuU5Y0QJOE8rUUucOZfr5KvkRXsWlVyP96s7HkN/yoRAzF1/a2HsikVCvzx5HgSx7eV2HvaIdVCwRh5NLpuIyOeew95BDGUPIlzY5gweAAr37ZJZO1/pE7du8/rDjGOqYFd4OlOO7Q4eYMV730+aeFyxdK1i6XnLhWcd7JHaSv6ESCkge1QHHhczqcuMpnYrpCN/SNLq4TsT/9iQmg7BwUYYH73+8MeNuHGzy0K3UohQXulGenwLYilljWO6Mlefu1gqZtPZ5FU+ajKHNZePJtT0o+6QV2r2Ejt9qkcYQei52DPLG+mVW3Xyd67tMhYsVQ/qxZQEpaJXHSsuqiYN21EqgubFwZ8pE/nOTizR0cZVlyeoI2dkogIrHcPkKWEJUqd28f5vs/qzHddul0XXw/JtLT/PCBNg/t7LBjb5dHdoe41TNCCVctWdB3eMWyhcfct8e04H11j717d7Nu3eq9/bXujkWVhzY0KkeoVZrsHO2we2wQhc/ihub4VZKrzmtw6GgZgcJJR4foGByd9ZbODoVQCBknUiAoR3DD7QFv/cs+tu7yTWZNAdxzB3NStDnCcizJLXdv0fC8EcpZYBe5tbYwKwqo7sW1TqQ2e5uYF+v6WNt10ZoXlJU0gpyF5XuUFWwOPtuCm4b6RStu2rFZaouS2ZAp05NEJs4nhTI2qWMINetXhPz1H0/wlg/3cdPtQdGSZ4CWxcfCMeVnEkqORgYVvnzTCMMVxaL+gP56myULpwhdn/seq1BxBWuX1akPrt2xYOHKvbt3P8bKlSuOCXCHx1lXX/3H6JlbJho152eVcvu1u/ffx7/8RPKF7/YTNQMW9wmWDrtsXBHQVw1MqNpywHJr3cO30yilb8B90x0l3vK/+9j6mI92U3DbYffZbR+yMrREFvQFWXAnzRjMepuIYo633cu8t1dJmuPtFF4rrBztvC+KSHPCRRIlFMnrhLC2Ff/eK0lm57F9EqafMYeiM6fCI/ITck7aZW+jaB+wT/j0JJ7DAJC+R4bZxGglSVtDA4rNm0Ie3u2y8zEXnbZiziyFnTPkIh1JRULDVfQHmkVVxaKag1YVHMf0a1/QgPNPmqFeb/HoaMRJJ55OpTzw8h/cue3eTeuX8JGPfPipW3CAxYuXoeIphKztv3+XvvUT39xywWN7YPmAy8CAploRDDRcfF8y03aYaXlZvorjxGbkXLY/7KhljBPA7iMuP7rH532frLN1l4/20z2fAlvmO8bKMbFlQYk1kcGy2r2tIGxAyflAUDTQFgjS9J/cZOc0ZR7PUsx6MO8Seu6X2ZHOWYGg7JaE73UvF7cinZYuPqv6hyTwI7QVIOq5kVKTLFEg4fMSFMaHijTHrwz5+NsmeO+nFLffHbD7iMhbwwkrvyRNpXA0JRcqnqZW0lQCQSdUHJnwgYCZtkt/rcoLTpng/JMFwytW3rr+hAv2N2daDDQqj7tfH9eCA/zp+z/A6ee9+KgW/VNDFfeVQ94+1o14lH2J4zhUKy71KlTLinKg8L04qfRJpwz39u2OcEuKrfs8/vxTdT72pRq7D3lJobAtBdqgtqcx5EqKEIbN2KVoWXcqkVvkvEFor6UuVtfklTl5dY2h/fkY7PTveaVNOk8mtdpY1lpk1niWBafX2U0sfXrOZFbdvgoUrXZqbR/P0s+y7slZ1ZtkVrDiMp9XaV+Rs5O7cEIm8zZjGB5UXHR6l8WLYx7e7nF0TOaNZiwr7khJxTGta8quphJAORCUfInvmZ7tRyYctj0m2bHHZe3ac9i4btUfz4w9etvQgrVPBLqPb8HTdcHpqyiV+u5Ys7B13cTxu6/Y9ug2vv/TKkL7eB74rilGtjMEZ1ETYQoW3HLMtn0e7/+7Bl+7sUI7lklLY4tbY4M73Sm9zmaRe6eh+NSy9urd8zmUqcpCz/a5XtObIjtLQUnpwpNYdtqoti158niW1bZ0bjtnxXY+FSbk3puklTqjChBps/mEf6s0CSt1QpXO+h+mkiNa5t2mtFWqmf18hYwUiwYiXnN5k8DX/Okn+ti+L4BSTBa51AqlHWLL11AKM+Q11ISRwnUkvtfkBw+2WLRoA8rfeJ0OTr6j3Zp4wvtWPtEXDgwtxHMO7Dru+M1vGVnqfmPfZMy2vSGxgsCDcqAp+Yn1duyi5LwC3pExnh+zfZ/H+/6uwdduqtDGMQULtvOIFcTBBn0C/Fx5NlaaHIBzdqJCF6xlqqzYjmP+2MoEtMFrPSjw1AzpPYhlnr/N/VLsSHaehzJb6zZMRBcpStYAyKplVHMoK8pKfJv1/tZrcykgV1ky0BcVlbSxkAkC5be4LQmU5qpLW7z3DROsWdaBrpVUpWOUVnSVoBtDGJv7dgjtrqLbNQZzzfIWG46L0H71G+effcZbdu3Zv2tk+fATBvgTtuAAbmklN95y6+5S6aL779oWvgS1h/66Q6OqqVcjqpWQchAS+CGeG+K66eBV04jeL4XsHHV479/2cc2NFTrCMeH3zMO27m1gC/vv1tmZgHXuIE4R1HNx7HnlwVmO1ex6TPuL9J4kverLscCd0fs5LLe9rdgcSGTW24zuy7eTnhxZ0hV5u7WCsiKs/2M3ETLqit1PLQ0wpU3xU+UlTa5SSIROazwFOjZNiFSoKLkxr3xeEwS8+6/72XVImMpv0UULh7YSNGOBH4LnCDyp8V1FOYgYm/RZusDht168gNqik+7fuft7u088/jKezHpSAAdoqhFK1eUfOu2E3WuO9oevWtQ3w9LhkIFGh3qlQ6XUoRR08b0uvtvFc0M8r4sSET+83+dvr63x1ZtqVrGCRUmAXEqSRWAXTgKRgTSz4IKsoUwhDD8HkOWcCoM5gPPq4XMAXWQHvQfVc67i30wJ4GzAp6H3wvPUcovcoSwWH6c0Q2f/P39dIgsm0mXRwdQ91lvn8qR95RDFKCoJjUFLRJZgK5PUE5NBKLShqTqUeG7MKy9tgoJPXFvn7i2mrhIEESUmkxYUMZJYpe3aYqToMjy0hE3lE768ZvXxH4KDTxauT8zJtNeXPvdRLn/+OZ2+viXfHhncfdHyBYdXDPVPsHhoir5am2q5Tcnv4HldfK+D73cIRcgXv1Pm9R8c5K4tZULpm0b00u48JZkzoFOQmHLUCUE+NErkOd9Z7nfmROoeuS9/nLdDtpxLUXxN2nFJpNKf9drM+ZSWAznP46Lz+fg8fz6fobecLj0xZ+evz3MSC504r7q47RgOauGqaMuE1gmepgmkV19tUxctcbRg45qQl1/U4ugkPPyIS5iU+CgNnVjSjCQzoWCyq1E6ptkW+H7jtitedN4rHn5ox/TiZWc/aYA/YQ5ur6uueBFnnuw0Tznzud2xjuIfbpihFY1RDg6DnMAPpqiVZ6iUW4Qi5PPfqvDOTw4wOlUilAG4ATglkEFyS3p2C5eMY9uW2+YUhZ1bPFCZ5UZbVj11OK2o8Rzc2gYJ9ICP3o8X+Wvs1wv7e1nf80n4nLNlQYHlSxbyUnqTtPLIJBZHnh35LBYpp806gYyfp7f0vXOp136cf25eohgrJ7m5RMojij3CKCCMAnTkM1QVfOD1E/zXX5mgShvaLWhPE8QTNOQYMhqnVh7j119wkHUbXF5+1Qu7P9sZN59zxnOfClSfPEXJDlp5HVqpn2w/+oJzOp0flLfu3snn/3WavQd8LjljmqsuazM6Jrn+liof+Gw/49Ml8NIG9InVTpGmyUO7hWKtXjhb4KLHwlhy1jE7U1mBnV6und7JHtCmVjHbNgu0RT6uHwfQBaXE2qYFufKR4svm42k7N2H9HztSmRVEFNUTkzeevrfpdJXNu0lBO4uyWFY5EenTnP7ZJ6yd/JXq5Vb8A00sHRzpoJSkrxLy/t+dJHAV37y1yuiU5MrL2lx8WpfdBzxuu2eYwdJy3vu6za2la1f8RIinZIf/YwBfsaiPVrP5rje++iJ9352P/OHt9+8uXXPzSsKm5sGdo+wfh58+5POd2yt0VAn8EjjGWssk2pkevzThPpWPssyz7BXJEdaWLtVjWQtAzUDYo+0yz2Pr0k8B3HZgR2cadf4aUXif9IuJWY9mAzoD9rF2sgX0TErTmOCZtmfX2Fw57TRrh+ctMNuc3G41kX2XPBVgrpXm8M/6qtpY8jzrMAF68sPT3jauctDaoVHp8OdvmOL807v89CGPl1/WYajex8yaMlt2ah7Yv7p9Rf/lH+20y/+jXAmeKkyfOsABypWKGt/3D+9zKoPh/bs3/cmlJ475559xiOnuJIETc2RC0un4UCqBU8ZxPXwpTA5VskNjncxl1CIx4DawscxY4iVZ3plNBXIyo2cDOX0+R1RzPiVFWnzD/C1Hvk1zZmH4SdCRTOdOflJvNmHW1EoXrXlqkTNAZ46j5Wz2gj/TvLVlbdM+LCKjGDrjPOm2/AvlAaIiH88msGU0RRLHLrGSyThAcxVwpEI5oaE0aKrViOGG4sCYw6e+XmFiciEXnNDg119Q7T4yOvAXf/ulf/+z97z55eqJ79CnGeAAn/6XWrcZLf/g2Zvoljny/q17hDzjhCq/ct44jtPm4ccajLYCPNej7kLFVbgJiJSGUIETC6Zj08gxO/JpBlp65AHjaFr4mAPEcl7AzkdZihHCWa9h9n3K2Quq5XxAPwbgZzGV7GJlpD+RnQDGaUwtcFoplSZCzVVsbGhI72hwm7LkQZ9eNYWMouS/Ifs5vZmg2Xc3l1YzkNYhih3CyCWOnew7S6mIXON0uq7iwJGIz36jwee+NcALz404eXWHn2xz1ZIVa9//B69Y9uHtuye77/kP4vM/DPA/+m9XsO2ha1oDjcXX/eCn+k9/+K17WFQfYGpKcMKqSfprLoe7Pn0+9Hk6yR3X2c7oKrMHuwpizAxE0kkDJqE439UiNjvS4su9kcQc7D39TdDznwA9IJ59Mswx9LVw0Omx6kVO/oSWzcREkXLYeSW2lJgHhCyrngJdKOtxSl0Se5E1BrJyT7IP76FN1o4tFInLuEBXjAelILHcYeTS6fqEkZPVUzqOwnMN4H0/ZmI65MGdPrVSg+X9DmdtaNIqnaiPqFXXfea7zdbvvPLK/yg8/+MAB5CllQwuqT4yNLzgjW/7rdLf1vievGNrzCeur7NrrEQjEAz6mlqgCNxkcBWmrrMdQaQ1TiSM1VYhqG7CwyHPTYEsYSdzKy1gidmgtqOb88lvBettO5RzWG2wgJ6Bu4dxz+GAPRFg28Dt/R+5mqJzjdt2LAtWPLfGpuAhDd2nnLs3hdbm5qkFp6DQFFKcrdYeaRUWgJIKYohjF60FYejSanu0uy5RbGo9HUfhe6Z3juvELOxr8YevmuTjX6tw784BzjvrEnX2ievf2K0ufUTPjD0d0Hx6AL5m9WYO7NnRPffsEz59zfUPVH70wOBHfnp/jB906K9CgKa/rKiVNL5rRlAIDD1x25p2aOaQy7CDS5N6vYNSmuaMpBM5aMdNDLnMqUvBrbMq5JlfSZklAx6De88b/KHHolsnWcbP86ePu1IqIHs2WC1Qiiytx5KnHL7XiiuNRWXSk0gn+Sa26tLjaKYn0yyx084xinEcE6nuRJqZppnP2ajGlANBtxvQjVymmj7NtkcUm1/nOIrAU0SxxPciusoDfN70Ms2M8ugbaP/R8Sec+ekHHtwRn7jp5F8cgAMsXr6GB7btj08/48rtWq+ZWlT+t3q5soMtewVepBmqQ60k8FyZjB40ZXytQNOMYCCeZvOph1i/tMXrXtqkG8F1twV8/ts1tu0pEafauNG3Mp8zA3kBrL2BCz2nBZ/bes9WWrBAXaBH2Yc/ecNdWJblzqL2KQ9PQGfuTdxQFhzM5Nyfw4qbwgWd+Tu5Y1osfuhNjZ21rDpaKWNcx0zWeOQxyef+tcp1t1XohoLXvaTJccsUz1nbYablMDpWptk2VflCmIxO39O0uxLfUyjR5is31zlh2Qi/+5qLp1avf872bndPfOKmJ5Yp+HMFOEC5VGHFQPsbQ5ec+fszJzc/+uHPTww6cczyQVjQ71AuSVynJ30UOGlDm+NWjvPis2co+RqBhyMj3vEbM5x7SperPzrAHVskWjggjYSYWqwUS7OUkznoyKxoYc/j2YCfXZyQgd7m5r14eIKWWxxzw9xh+5RyZAOgevTv3IonjE+KTAMv/I185EmmpqQCSg/QbcPhyBjhRty11eHqjw1yy71VROChhce7PzNMyddcdmbEhkVlBssmBC+TK7aUpip+uilRsWTBYJtLNweUBi46umjpmW99ZGvzG+vWP36O97MG8DXL+wCYmj76xQUrLnTXrXM+NHrg1gX1oMVgn0vJN5YjjEzudOBBvaJYtVSydlmNiSmHphvhuUkuS9TlopNbvOlVk1z9UY/9Uw44HtYFO+fa1oHo7fWdt2abn3sfKzhE4bU9A1/Tf63/+1RXgXIk9EhrnVt2kYzxtjRtpa3CYlKNW1jWWs8qgOgtgki70uaAL+xiY8ExrT1cN2Z0Ev7qKw1uuacOtRLaKeE4HoEjKTlw74Oa5hHNyoVdahUH35NIKQhD86YlH8anXBx/Fa+4/KzR0uC57+jq8IvrNyx+WsH9tAM8XfXaIJMTE5/99ZedJ5fUxj9weN/tCxYNtNBCs/dQwMSMR+BpGlVFXy0i8GOOTgWUfEngR5R8jzh2UYHEmVFcdlqX1Ss77L8vwN77RWttjfWQPSC3ChpmS4SpVe+VCkUxmdECeq+K80Qkwaey7CAmWFTFckpN2zXzm3sDOWhzMqaWGyuiKTIFhWxCW6GapxDOSU5gYaZt7HjM5cY7q1AOwK3gux59nqDhKSqupuxrwhAOjUW0u8qA3BVMNSP2HVHESrJoQLJy7Ymj/Ysue6dS6rOVSv8zAcWnlovyRFajr4+dW2/99Krl1avXH1c52lSHeHjfUe7a2iUMNbWyYuFAhzXLJlixaAKlBGOTZSany8y0SrS6Ad3Qp931WTAAp6/vErhplDN3JAu3Wdt04XW29Z4T8CR/l/bfi6M28pMql1d63bGnY9n5I7aqkYM45+Bp9FIlz7PhsCp/nOabpHJhOkvTvrcHzNr5KinSpdB0Y81dW3wOHg3A8/Ecj34PhoKYwYpisKaQAh49DNsOSkbHNc2WIvAkZ2zsctzqMQgmcBvDR2e6wdVfvfbGT1cqtWcKhs+MBU/XSadfzp79W/+xOrz6T36w5frBHXvvZvsewYoFxnIvHZ7k/l3T7BsNqPkBA3WXwUbXXAqdGN+NiD0XIoerLmrzzzcoRltAqppgd6tKKnhkD5h7rPlcjmUK6NnUxc7SszvMFq3907osLm4CiIljmW5LwKYS2y4wDqlKPFWR5JpkVj2lMQlvVyS+egb2ZHhrCnSZ0hRJ3kEr/dmayabgazeXwXUQ0iNwBDVPUfU1jTIM1iR9DYfN9Qn2HI14ZHsf5UCxeFiwdpnDdLfNmadsnBoPl77pcHvmn9/+e695JiH4zAIcYHB4XdTuRL+zbNGK1Usak/9n/FCzNNgHa5ZOM94e55PfahDO1Dn7eI/1Kx1Kvkl2DwMTDVOxyV1YNBjhOtmuBstq51PQita7OGSKLLV1vvrFInfv4d2ZFc8tek68SZ89LSvDuCX0pyH04thKw8eNkmJRExLQpxHLjHNbzmairoj0BEgaACllRpuorFLC3FLZMIrhwJhpvCSExJeawNGUPFMw3FdzWD/ic85JLtPRUd7zOcm2g30M90XsPeRAcFJ78fDI777i5OGv7TnUVG9/hvH3jFGUdFU8ofc+9KkfvPqlh7/UqK99zWXnrWqvWjyBcI/w7Tt9jhytsaDu4Dhm54WxNLkMacJOEnhQGSE0O9pU0tsN7fUsyjI3cHtpjAVkq4hY9gKdZPscyV5PZT3e/yukyNqhdmXTkJRqpNuSHicpVbFH86l5qEnvTYue10jrfZN9n13FRGF6hueI5DgKDo/XWFRv8KLN03TEDFv3dZmJV7ZHlqx+zU3bal/71L+Ox+tP/bVnGn7PPMABTtr8+3zzuyPxx/75d6+94My+3xyLFzTf8LEK1940xOK6w8IBSbUs8VwDVnOEbTRo7njIo9U1tZpCyGxasSut3idZAYMuzLy0gdxbGDDnzEuB1dsk///S6l2S5qI8XUsf4w92pFHZQFcUOLMNdPs+71Il8v+TADpObkonj+ME1EoSxzJ7nGYJln3YfHwaaS5+azO3UjHT1Bw44nF4rI9XXuDx8Tcf4rkXDjXHuot+87+88oXXnrvcid/6O7/584Dek6/oearrS//8FW766nLWn+w8uOncoUfHJ0rPpT1TWj4kWDIUMNQn6aspqhVDUcyMzpBS0MYNWrz/c1Xu21FHeyWk61KWgrKr8R0z1NWTpvOtk7aMcOxqHVFoIZG1knCKg1yd5LHd3Cc7EaRNV4r6t7Ae2FIiWK/tuS9cTewTRxTz0bMlerWj2Z+fKT3mk2dHXq3vWEigSt8vTVHIhoHlt7TlR7Uc4TqKa26uo92AwHGouJqSq/FcgZM0TBLCxDwqZVixbNXECWtXvP7Kl3/vy+//qOQNr33mLXe6nnEObq+1G3+Pt/zpF4md8pc2bTrO6z915MPx5PahqjfN4qGYRi3Ed62JyU5MpRyydZfgsYMllOOBdHCFSKYVJ52sEnC7Nrhlj2Wew7HMVBPbitulaT083AZV+qTw3E5UEmn0UTNfGwlhv6EtR6Zvl2cG51nE9EQ609dLkQhMGiGN6C3saCYkLSCS9msYB0Zn/R4kYEKOMpZIqYljSSwlyjFdZePYIY5dli+KOGFlk/t31eh6HpEyac+dUDM2rYjiiDCMqdWGOH3xSUeWLoveJqX80v4t5/PeP3z1zxNyP1+AA3zsvb8BwMTExBccx3W3PnT7B7c/fPOCemkfJV8z06oiANeJqZY6tOMOX7yxzNZdFUyjRidr8mMoik7AnVpwayS3EHNy8Zxz29RFFKy109PUJwOjnv+36SxHZg5QW+qIlZ+VrVxr733P2Y+Lljl/gZRJxmDy3iIL5mBFLPMm+WY4T5p7opI87USCldqAO/GH4tghdlzCyGP9iojffN4k/9/nqrQ7Pp3AhJ4cB6Y6MTOdkEZjkPUbzx1dfcK5fxKG4Rf6+vp+3lADngWAp6uvr49Wu/WZjSedK+rV6APXfPPaBa2pNquXugw0OgzU2ghnhk9f7/P5bw8xQxVcHyllNmvedbRlwQ3QPTnbahfzmXsdR7vbVdKPMO1QZZ0A2RIp0PJiAvtvaTjSNM0xH2A29SSIWWCfr3yO9O1SpzLbaFOaJCCThtsdA2qSpCqpe6TCNLNQJUAXZDN5lDTR0DRgJqVjJlynnFw5dEOfslD8xgs7HBwf5ZPf8BibabCwKhhuCE5e3GZg0GPtcZeOXnLxee9E6888W+CGZxHgAOVSGa0nPz2y9oxo6SrxkQfu+cmA7x6mvzbDA7tbfOWWCt+4rY/R6Qai5KGFYzW2T7paOeA5Gs81rcRdJ5cCe1chnwRb5xZ5E00pMoDb+niKujTvQ6n0WWK5hQFNqu+lUcKsaIG5v0+W2mtfWXqzBJmdD25fiXTyZjqrS00zBq2EKvI0WyM7Zt8i6S2oDcB1mhqrkbHCTVStVFGJYpeZdoVG2eHNV7ZZuWQfX/pexMGDDcLY5dQNq7j00lPH4tJZbz86xeeXL3p6c0ue7HpWAQ4gRIN2J/7iS59/ztEF5bG1a5cv+IsHt+zw/tdX+vnhg3U8z2ewIVEaJjsQO3kKqStJGsVA4ILnCgPw9MAnl2el5vvsHg7uGCdJ2jeLf0NiSbMpw1bZV5LAJEg1aayiXihYb+u+17k0o9GtV1oRS6VyedD+P2lJq4sgTjMnlfneKsnFmWulsqFOdqgjTdpyin1HamJXZYlXJg9c0OqUabbL1CtNfudFEeuWjfGhf9Js2HRZKMvVq+tDF20vlcrfctyfm4Yx73rWAQ5QChzVmXrwGy/6lef7e3ff0zzc5RNLG1vEr186Ke/cGlPVUCppDrWb7B33CFUJRxiK4rngu+B7gsAVuG6iVWuIFESRLpZ6WkGZVPtOHcoU3I4UBbDbFEUpM5paKG1Jc8a0Zs6oNDxAOMXEpQKbKTi8eQ+XtNuwoSVJwCX93BhrIJTV36VQhZP3RJGWlp5+gzRvJ20xEUZGtwaBlBrPUVnOi+to/ChGKYEjFdBm/1GHsYlhKoHk8KTgxw8FjAz1q3e/4SQduuv/YHj4OZ+768G93QvP3PBswwr4BQE4QFDfyK23P9CtVke+2MW7+e3/NXzFI3t3/c99B44wWKpzzkmC0zdN8tZPeWzbW0oCCxrfMeAueYLAF/iexJGGc3a7ijg2+qzSCddN8qdt1UIKgePkIHccgeNIi4/nVMDkdCgzmloZi6eSKJShPIYCCAmF2kcrh32urEVbuxdJYbDRrDVRlATBIm0AnigzQpoKe6XzAykEyNjMiNcyR35Kg5xE9lMKwkjQCQXtrhkd6DoC3xVJDSW4rsSPDT3x3JgdB2L++BNLOXNNg3NOhFKlze6jyznSOu4973nxmq925ILHonBHtzbw9BQrPB3rFwbgABectQmgNbn3i1vrS1d88P4vlv3zThl/lxMdctYum2HZsCl5c5NmtL4DgSco+YJyICkFklLg4LnmAE1Mxxyd6tLq6oTSCHANmFL1NwviiBTYAteVCdANx08tJZBJbGEoiGJNp5tbvFR9ySxlMpC1twIJ8xZWt60E3InUKaUh72nksN014G53VXYypT6CSvwO3QNkaUU706uLIzWeq3CSLsDgMDruMD5lTk7PNQmCGpnkA5k2xmHkECtJJ5TsOewx4EYM91U4Z/Np8eXn9/3ZxS8544NNtTX+0DsuebYhNGv9QgE8XY1lv8EnP/uV+PWv/e33Hj581N257bY/cju3BPfuVBwYqzAQmNyHwMsBXik5lMsO1ZJDtQyNquLwZMjPdoW0Wh6NkibwtAGgRVdEAhQnoSSuY8DtuqkDm8iPjs5A7rkw04SZpqIbGXQb/V2jkxZzKfWwncP0M6FovR1hwO05KvlcjZuA3HcdppqCqZmYTjfOk8OkSIBtmuykhSTGgifFBYV+8xrpGIAHQUy93GW63eHHD9Q5PBZQr0gqZSebRymFxHUdfE/R6brMtMoM19ucvK5J2F7EqvWndTafd+Ff9vUPvfeBu7/MplNf9WzDZs71CwlwgNe/9pXMzEzju+G7TnzORVKEg+fc+MCX5fLB+jnN8aOuFNJQkwBKgUO55FArm063/XXFkuEOp288zM5xzb98fyGu1DhCoVInFeMMphKhAbUBuueC6xpwe67h+Z5ryq18T1EJIg6MR+w4JKj5Gt8TmR+QWu/M+YO8kDdZthyY90k0MqfvKnxPE3gK348pBzPsPSLZsc+jEpjP8lxzS1NkPW1+DZmCYlpxxA7ZrHnbgpf9kIWD09x2W4d/vavEoprD4gFzRdLajA5xHInnagLPIYwEo2MOgwNroktPUz9as+Gl6sLN63/UDvW7JienaDTqT/bw/tzWLyzAAarVLE/4nV+55jrWL3th/Q1Xznzqjgd2vfLhLftl4LYJPEk5cKiUJLUK9NUUQ31dFvQ3WbZwiqGGx3RX046g7FmX7STQ4wiLczuJ5U4kR8/TyUHWBL6mHMTUKxEjiya5+aEOjxwaYkW/oFHW6MCyyNKUimk79W+OZXh4MsdTgutqPE9T8mMqpYh6tcOyBUe55WGHh/cvYdWQolYSlIMkv9vLwpikeYYiOWnjJOhjarRzOmYKfyPKQYcjUzE7jkiEgsBVCBEllM3DdQV+Uj870FcidparSXX8NZee0/e6OD44NTS4+dmGxxNav9AAt9crr7qCnY/tnKrVym9au37PthtuuvPEqD15xb49Owl8j0pZUC0p6pWIvlqXof5pjk53uXt71chliWSokyijFMICt7nEe45IrHZOTzwXfM80968moKtVWgzXZ2irPsbaAZ6rcB2dcfbUOVQFvXmOlUVUDe92ExXD9xSlUki90sbzmozNlBlvw2RLZFmTmXaezVaQIFROuWRixROVxyiBSdalNArQaevaLGo0OTQV0CglV6hk9IwjBZ4TMbJ8FZX+ynVDi0++368s/ZiK2lMrVq5/tuHwhNcvDcABVo2sAjj8yPbd737Db79i5QMPbmH/niVXjI0+QrczhecKquWYgUaLenWS677ncvN9/VQ80/fQ6Mf5JLQc3BLXNdTE85KAkZvKkBrXNQc+8BUl31SUv+jcFp/7Xpvx8RJ9EZQiM8YlpQ3zAtumKum9JRe6jsbzYgIvplQK2XtYccOPPDpa0woF5UjjxxpHCWScRmqTcJCWQIwQjuHoMYmKlFf0pJHdTuhy7iZ4wenjfOHGCkdmfKolTTmIYDrC9/tYt+FUTth43HXLRta+tdVq7uofHHm2IfCk1y8VwNO1bu0KDh06suuUkze+ffmi6hfj+Li3PLpj24WTR7bguwepV2a4/seSv71+EQ5ltIZI5Vl8jjTKg+uA60g8N+XQxlq7Tq5qOIlldRyF68S4rpntuWppRK0cc+iI0ZHjRLfWPQC2o6dZNDSrXidvgZHo0zkfV3hOzHRT89g+QeRDGGM+K9aoGJSTyIaxFXBKMhgdKQml4epRrLOUWA2Jpi1QcY3ffnGXIzNHufnuhfTPxIws7uOsMzay7rh1t/T3VT+2bGTNvWEY/VKCG35JAQ6wcOEQwDat9Tbg/lYrWrJh/XGfjJo/O+6Gn/y78zdfH8btVDhvbZuWCDl4qITSwgK3kQNTh833oOSby7Tj5LHHNIqXJ2eZHntaWZHStCCjUN5VTK9NasuyYt78/1kDpQBIizdyOkGiqce9OSkJBYoiTQREjsoGSaV6fhgZvTtKAjpGzw95YFdEHPWzuF/y5iuOUqtMsXjBRfElZx+/zXPj1194wTn7ga1PdqDWL9r6pQV4upIDsHV6amwrOn7BzJRYdsqZp11z/qM/bEyO7a+eunaCAzMdvn5Q4sogCQaZgJDvOXiuKbQIfE2lZMYgOo6m3XFod01+h6fy4luBsbB7DkqmmzJPMEzzUbKrRA6yVNZLoaIUxImcF0sSnpxXLaUngdZQq2iWLIrZMQpGIzHpAE7iH0gp6HQVndBcdWJfZvQrjcY6jsAPBe2uQxRJhAi5/UGXA4dqPP+sKmtXnzDzvrdeMLlll7hq47pVez1X7vplB3a6fukBnq5afYCppt41vHToMe1Nb7r8hfJsKfg/Q96W6OY77xkcqE3XhxqSWslQFN+XVMoSN5EJfVdTK8cM1Lv4fsjWxyqMT/mUS4bKxHHeyNJ1NNfdHHBgr4tX1Vk0VAqdRT9t59V1kzIv8sr21GBLaXiyqaTJJzSgIVaC1csVV17S4sNfMq8XiWbuOiTBLYfx6S67RjUlTzBQVXiuIPA1YVejYo0jJYGnmZiS+G5ApVJlcHBoavGys49edNmI6/ni99zS8T9evqI+AbES4j8NLH4+JWs/r1WvCBwh1GOj42NLly75br3eWB/t/+raX7n8d//s1S8574FTT1x6z8hIfzuWJUq+YulwC9edodlSeK6mUQsZWTLO9kNjfPXWkL2jEdNNQadrLu9KpVZcEykzXcyR+ejwTFNPcmLMVULiW0lgSmvCWBGGZlReNzQUIo4NoFWclpKZLD6pJK41IVgmFCvwJZWyy7KFDr96cYtly6fYOQqTTYgizMTguMve0RYzzZChAZeuKrVnoqX3BH0veODXrnzdn73lPd9cW67V1tcGFn63VD44JoT4TwVu+E9kwe21edMIGGG4+dC2R/E89y88z/mLU07d4FSqlU9s391ZP+A8dr4jH3F+sjViuAq+22Vh/zRCjvNP3+tn/AhM1iP6am6WkBTrJMonFZ4nkNIlSJxCJw0WpXKjKw0IA6OtR7Gg09WoCMKuIlIKV5qZoK4j8JPPiJQwlTRJTWQcO0QhoMyYPifNonRNekJ/TbN4SPCa545zx0Mee8ZK1Eoh5VLAyhVdfvRgmYVL18SnnrbktiPT3tbmTOuNCOKgVOHAz96ny7U1zWf7eD2T6z8lwO11wnGrIffLorGxqddtPrU0INX+P7/zruv86e7RePPGxmkjI+HpbTXOX/+j4O4tAeuHFVEkiGNlGrorSRwbXtqNNGNNFxyPICm6SJ1XA25jYcslQV9V0ajFdLqK3Qd9BJrRiZCwq6lVzAXUdVx8T+TOYFL8G8UuYeTTqER4XgS4ibqTZjqCEIpWR7BhecybrnyMr9+yniXLRugb8O46fpX30xlvpXP5ZZd3160c/u8zM52xWuPZKz54NtZ/eoD3roGBOsAY8N8AHrz3VpSWF/ZVZp5/59aRq/oWdjdc+byQ/TsfwfWM4ykImZiCesXw350HBN+/u49SIKm4+VAr1wHPM+qM60jKgWa4P2LZonHuezTiyPgwa5ZJ9k002b7HZWTQALtcMuHwbigIYxMBNclNprjgolPG+dyNbTrTJTM9WmimZmJKgaBc9hFOg8bQBl77csFJJy/Ysn90yTVLhr1/aytuedvvXcTbnu2d/iyu/+sA3rs2nnwBwC33bJ28ZfU6bj1hU2ftxNhh9def2q+OX7tw9SVnDfzJ4dFHOTxRJyjtAXWIsamIQ6MeI/WYMJZMd6Be1pnj57sOcWws+0CjQzee4pZ7K9AVbG5oLjylzcN7PcZmHBYOGOsfhprpJph5S4qS3yWOBPtHazRqU3iyzZGZDv1rBzj/rGXsOdJl9cgKFi048kHPO/RoaeCFstoYkM8dcbYD3xVi0bO9a38h1v/1AE/XKesbAN9Nn7dnRhGy1B+1d/7o4YfbdORAuG7D6j+sVzY/r7S4zTveWGV05z00o4PcdLeL9Eo06g5LF4DnTnDfNof+mo/nNvnptpDb7/c4d32XmZbD2Sd1OW6ky4MPe2gtGGzE3Peoor9aZeFQhWpF4ZcmueGOMoP1ES658AW88dUe7XaJgaq4YcWC8CPuga634biNnHjc0ltmWt3xgYULn+1d+Au5/h/A51ml6gKAceB6gNbUXoCHhYgWBVGsLjtHcKfaQcwBfvCQxHE8oigOL77g9PfNtA/+yjQiXLUiYNHSSUbiJuefOcQpqyTLlzsMLlrO5pO79NVrnLTKZ92KkFbJ9forA98U4X3v833H0xK27Xc53uunMXQGF5/jomJH+p5zEM2jF1+25NneRb8U6/8B/Amucn0ZwKPJbc6179EfIIR43f5DUd/gELrRF1CuegwPVVm1fJDhYUGjTyK9EgN9HZYsqjA85NPX32HBsC8WDi6f0Hrk4NkvOK/wvm9+05ue7Z//S7v+f8rvrBtKJVPrAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE4OjA1OjA3KzAwOjAwp2LiSAAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxODowNTowNyswMDowMNY/WvQAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 23393353
{'hecke_orbit_code': 4504149450293521, 'n': 1, 'trace_an': 6}
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id: 23393354
{'hecke_orbit_code': 4504149450293521, 'n': 2, 'trace_an': 0}
-
id: 23393355
{'hecke_orbit_code': 4504149450293521, 'n': 3, 'trace_an': -9}
-
id: 23393356
{'hecke_orbit_code': 4504149450293521, 'n': 4, 'trace_an': 2}
-
id: 23393357
{'hecke_orbit_code': 4504149450293521, 'n': 5, 'trace_an': 27}
-
id: 23393358
{'hecke_orbit_code': 4504149450293521, 'n': 6, 'trace_an': 0}
-
id: 23393359
{'hecke_orbit_code': 4504149450293521, 'n': 7, 'trace_an': 38}
-
id: 23393360
{'hecke_orbit_code': 4504149450293521, 'n': 8, 'trace_an': 42}
-
id: 23393361
{'hecke_orbit_code': 4504149450293521, 'n': 9, 'trace_an': -27}
-
id: 23393362
{'hecke_orbit_code': 4504149450293521, 'n': 10, 'trace_an': -66}
-
id: 23393363
{'hecke_orbit_code': 4504149450293521, 'n': 11, 'trace_an': 19}
-
id: 23393364
{'hecke_orbit_code': 4504149450293521, 'n': 12, 'trace_an': 6}
-
id: 23393365
{'hecke_orbit_code': 4504149450293521, 'n': 13, 'trace_an': -78}
-
id: 23393366
{'hecke_orbit_code': 4504149450293521, 'n': 14, 'trace_an': -137}
-
id: 23393367
{'hecke_orbit_code': 4504149450293521, 'n': 15, 'trace_an': -162}
-
id: 23393368
{'hecke_orbit_code': 4504149450293521, 'n': 16, 'trace_an': 94}
-
id: 23393369
{'hecke_orbit_code': 4504149450293521, 'n': 17, 'trace_an': -25}
-
id: 23393370
{'hecke_orbit_code': 4504149450293521, 'n': 18, 'trace_an': 0}
-
id: 23393371
{'hecke_orbit_code': 4504149450293521, 'n': 19, 'trace_an': 169}
-
id: 23393372
{'hecke_orbit_code': 4504149450293521, 'n': 20, 'trace_an': 162}
-
id: 23393373
{'hecke_orbit_code': 4504149450293521, 'n': 21, 'trace_an': -66}
-
id: 23393374
{'hecke_orbit_code': 4504149450293521, 'n': 22, 'trace_an': -10}
-
id: 23393375
{'hecke_orbit_code': 4504149450293521, 'n': 23, 'trace_an': -28}
-
id: 23393376
{'hecke_orbit_code': 4504149450293521, 'n': 24, 'trace_an': -63}
-
id: 23393377
{'hecke_orbit_code': 4504149450293521, 'n': 25, 'trace_an': -66}
-
id: 23393378
{'hecke_orbit_code': 4504149450293521, 'n': 26, 'trace_an': 0}
-
id: 23393379
{'hecke_orbit_code': 4504149450293521, 'n': 27, 'trace_an': 162}
-
id: 23393380
{'hecke_orbit_code': 4504149450293521, 'n': 28, 'trace_an': -108}
-
id: 23393381
{'hecke_orbit_code': 4504149450293521, 'n': 29, 'trace_an': 548}
-
id: 23393382
{'hecke_orbit_code': 4504149450293521, 'n': 30, 'trace_an': -198}
-
id: 23393383
{'hecke_orbit_code': 4504149450293521, 'n': 31, 'trace_an': -118}
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