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{'Nk2': 14560, 'analytic_conductor': 29.06554633574606, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [7, -1], [13, -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': [3640, 1, [911, 1821, 1457, 521, 561], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-1, -1, 1]], [11, [-16, 4, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189374520, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '3640.2.a.n', 'level': 3640, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7, 13], 'level_radical': 910, 'minimal_twist': '3640.2.a.n', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{3}+q^{5}+q^{7}+(-2+\\beta )q^{9}-4\\beta q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3640.2.a', 'trace_display': [0, 1, 2, 2], 'trace_hash': 713429590807416233, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.027', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.199', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.803', 'prec': 17}, {'__RealLiteral__': 0, 'data': '71.166', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, 'traces': [2, 0, 1, 0, 2, 0, 2, 0, -3, 0, -4, 0, 2, 0, 1, 0, -7, 0, -3, 0, 1, 0, -8, 0, 2, 0, -2, 0, -7, 0, 5, 0, -12, 0, 2, 0, 3, 0, 1, 0, -15, 0, -6, 0, -3, 0, 0, 0, 2, 0, -6, 0, 0, 0, -4, 0, -4, 0, 7, 0, -16, 0, -3, 0, 2, 0, -3, 0, 6, 0, -18, 0, -4, 0, 1, 0, -4, 0, 13, 0, -2, 0, -12, 0, -7, 0, -1, 0, -1, 0, 2, 0, 15, 0, -3, 0, -18, 0, -4, 0, 0, 0, 21, 0, 1, 0, -2, 0, -4, 0, -11, 0, -18, 0, -8, 0, -3, 0, -7, 0, 26, 0, -10, 0, 2, 0, 16, 0, 2, 0, -8, 0, -3, 0, -2, 0, -35, 0, 6, 0, 10, 0, -4, 0, -7, 0, 1, 0, 4, 0, 26, 0, 8, 0, 5, 0, -11, 0, -10, 0, -8, 0, 13, 0, -12, 0, 2, 0, 2, 0, 2, 0, -13, 0, 2, 0, -19, 0, -5, 0, -26, 0, 2, 0, 3, 0, 24, 0, -2, 0, 17, 0, -3, 0, 1, 0, -3, 0, -18, 0, -4, 0, -7, 0, -15, 0, 22, 0, 16, 0, -31, 0, 6, 0, -6, 0, 5, 0, 8, 0, -7, 0, -26, 0, -3, 0, 52, 0, -7, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 1], [0, 0], [1, 0], [0, 0], [1, 0], [0, 0], [-2, 1], [0, 0], [0, -4], [0, 0], [1, 0], [0, 0], [0, 1], [0, 0], [-3, -1], [0, 0], [-1, -1], [0, 0], [0, 1], [0, 0], [-6, 4], [0, 0], [1, 0], [0, 0], [1, -4], [0, 0], [-4, 1], [0, 0], [0, 5], [0, 0], [-4, -4], [0, 0], [1, 0], [0, 0], [4, -5], [0, 0], [0, 1], [0, 0], [-7, -1], [0, 0], [-4, 2], [0, 0], [-2, 1], [0, 0], [-2, 4], [0, 0], [1, 0], [0, 0], [-1, -4], [0, 0], [2, -4], [0, 0], [0, -4], [0, 0], [-1, -2], [0, 0], [8, -9], [0, 0], [-10, 4], [0, 0], [-2, 1], [0, 0], [1, 0], [0, 0], [-1, -1], [0, 0], [4, -2], [0, 0], [-12, 6], [0, 0], [-4, 4], [0, 0], [0, 1], [0, 0], [0, -4], [0, 0], [11, -9], [0, 0], [2, -6], [0, 0], [-6, 0], [0, 0], [-3, -1], [0, 0], [1, -3], [0, 0], [-4, 7], [0, 0], [1, 0], [0, 0], [5, 5], [0, 0], [-1, -1], [0, 0], [-6, -6], [0, 0], [-4, 4], [0, 0]], 'ap': [[0, 0], [0, 1], [1, 0], [1, 0], [0, -4], [1, 0], [-3, -1], [-1, -1], [-6, 4], [-4, 1], [0, 5], [4, -5], [-7, -1], [-4, 2], [-2, 4], [2, 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[-44, 62], [59, -51], [-20, 22], [27, -35], [-8, -44], [26, -66], [48, -16], [-10, 0], [-10, 4], [-38, 84], [3, -9], [30, 16], [32, 44], [20, -12], [-28, -24], [-22, 8], [44, -19], [-38, -32], [-86, -4], [7, 15], [-36, 28], [-4, 38], [26, -62], [44, -24], [-26, -10], [16, -4], [12, 26]], 'char_orbit_index': 1, 'field_poly': [-1, -1, 1], 'hecke_orbit_code': 58546795189374520, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '3640.2.a.n', 'level': 3640, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [7, -1], [13, -1]], 3, 2], [[[2, 1], [5, -1], [7, 1], [13, 1]], 5, 3], [[[2, -1], [5, 1], [7, -1], [13, 1]], 5, 1], [[[2, 1], [5, -1], [7, -1], [13, -1]], 7, 1], [[[2, 1], [5, 1], [7, -1], [13, -1]], 4, 1], [[[2, -1], [5, 1], [7, 1], [13, -1]], 4, 2], [[[2, -1], [5, -1], [7, 1], [13, -1]], 6, 2], [[[2, -1], [5, 1], [7, 1], [13, 1]], 4, 1], [[[2, 1], [5, -1], [7, 1], [13, -1]], 4, 1], [[[2, 1], [5, 1], [7, 1], [13, -1]], 4, 1], [[[2, 1], [5, -1], [7, -1], [13, 1]], 3, 2], [[[2, -1], [5, 1], [7, -1], [13, -1]], 4, 1], [[[2, -1], [5, -1], [7, -1], [13, 1]], 5, 1], [[[2, 1], [5, 1], [7, 1], [13, 1]], 6, 3], [[[2, -1], [5, -1], [7, 1], [13, 1]], 3, 2], [[[2, 1], [5, 1], [7, -1], [13, 1]], 5, 3]], 'ALdims': [6, 4, 5, 4, 5, 4, 3, 7, 4, 4, 5, 4, 3, 6, 5, 3], 'Nk2': 14560, 'analytic_conductor': 29.06554633574606, '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': [3640, 1, [911, 1821, 1457, 521, 561], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 657, 'dim': 72, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11], 'hecke_orbit_code': 33558072, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 7], 'label': '3640.2.a', 'level': 3640, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7, 13], 'level_radical': 910, 'mf_dim': 688, 'mf_new_dim': 72, 'num_forms': 27, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 1344, 'trace_bound': 11, 'trace_display': [0, 8, 0, 0], 'traces': [72, 0, 8, 0, 0, 0, 0, 0, 48, 0, 8, 0, 0, 0, 0, 0, -24, 0, 24, 0, 0, 0, 0, 0, 72, 0, 32, 0, 0, 0, 0, 0, -48, 0, 0, 0, 8, 0, 0, 0, -8, 0, 24, 0, 0, 0, 0, 0, 72, 0, 16, 0, 16, 0, 0, 0, -32, 0, 24, 0, 32, 0, 0, 0, 8, 0, 16, 0, 16, 0, -40, 0, -24, 0, 8, 0, 0, 0, 24, 0, -8, 0, -24, 0, 8, 0, 16, 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0, 224, 0, -160, 0, 104, 0, 96, 0, -128, 0, -224, 0, -192, 0, -736, 0, -80, 0, -96, 0, -48, 0, 64, 0, 360, 0, 0, 0, -304, 0, 416, 0, -32, 0, 312, 0, -48, 0, 224, 0, -608, 0, 200, 0, 0, 0, 8, 0, -128, 0, -152, 0, -112, 0, -400, 0, -80, 0, 32, 0, 32, 0, -760, 0, 8, 0, 176, 0, 264, 0, 496, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1131556
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': True, 'source_label': '3640.2.a.n', 'source_level': 3640, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '3640.2.a.n', 'target_level': 3640, 'twist_class_label': '3640.2.a.n', 'twist_class_level': 3640, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1131557
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': True, 'source_label': '3640.2.a.n', 'source_level': 3640, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '7280.2.a.z', 'target_level': 7280, 'twist_class_label': '3640.2.a.n', 'twist_class_level': 3640, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3286800
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 58546795189374520, 'p': 2}
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id: 3286801
{'charpoly_factorization': [[[-1, -1, 1], 1]], 'hecke_orbit_code': 58546795189374520, 'p': 3}
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id: 3286802
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 58546795189374520, 'p': 5}
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id: 3286803
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 58546795189374520, 'p': 7}
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id: 3286804
{'charpoly_factorization': [[[-16, 4, 1], 1]], 'hecke_orbit_code': 58546795189374520, 'p': 11}
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id: 3286805
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 58546795189374520, 'p': 13}
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id: 3286806
{'charpoly_factorization': [[[11, 7, 1], 1]], 'hecke_orbit_code': 58546795189374520, 'p': 17}
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id: 3286807
{'charpoly_factorization': [[[1, 3, 1], 1]], 'hecke_orbit_code': 58546795189374520, 'p': 19}
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id: 3286808
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 58546795189374520, 'p': 23}
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id: 3286809
{'charpoly_factorization': [[[11, 7, 1], 1]], 'hecke_orbit_code': 58546795189374520, 'p': 29}
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id: 3286810
{'charpoly_factorization': [[[-25, -5, 1], 1]], 'hecke_orbit_code': 58546795189374520, 'p': 31}
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id: 3286811
{'charpoly_factorization': [[[-29, -3, 1], 1]], 'hecke_orbit_code': 58546795189374520, 'p': 37}
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id: 3286812
{'charpoly_factorization': [[[55, 15, 1], 1]], 'hecke_orbit_code': 58546795189374520, 'p': 41}
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id: 3286813
{'charpoly_factorization': [[[4, 6, 1], 1]], 'hecke_orbit_code': 58546795189374520, 'p': 43}
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id: 3286814
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 58546795189374520, 'p': 47}
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id: 3286815
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 58546795189374520, 'p': 53}
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id: 3286816
{'charpoly_factorization': [[[-89, -7, 1], 1]], 'hecke_orbit_code': 58546795189374520, 'p': 59}
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id: 3286817
{'charpoly_factorization': [[[44, 16, 1], 1]], 'hecke_orbit_code': 58546795189374520, 'p': 61}
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id: 3286818
{'charpoly_factorization': [[[1, 3, 1], 1]], 'hecke_orbit_code': 58546795189374520, 'p': 67}
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id: 3286819
{'charpoly_factorization': [[[36, 18, 1], 1]], 'hecke_orbit_code': 58546795189374520, 'p': 71}
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id: 3286820
{'charpoly_factorization': [[[-16, 4, 1], 1]], 'hecke_orbit_code': 58546795189374520, 'p': 73}
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id: 3286821
{'charpoly_factorization': [[[-59, -13, 1], 1]], 'hecke_orbit_code': 58546795189374520, 'p': 79}
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id: 3286822
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 58546795189374520, 'p': 83}
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id: 3286823
{'charpoly_factorization': [[[-61, 1, 1], 1]], 'hecke_orbit_code': 58546795189374520, 'p': 89}
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id: 3286824
{'charpoly_factorization': [[[36, 18, 1], 1]], 'hecke_orbit_code': 58546795189374520, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 14, 'label': '3640.2.a.n', 'level': 3640, 'portrait': 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/pDn8ATCKOZm9TMTqQst0PafcEg8VnpCTZNaJZampPnFRU/YNM0bJuL2DgzYMPMkE0zQ7ZtNOzYpLhqu09V1Tl2ssnXngl4/GDC0ydiUtXhza9o8faXGapqhoMnJjl21uPMhZR5B+7Di4abr1ngZ9+zwvbZCc5emOTCSoWlls9yS7LSSWn3UnpDweHjixw5vXrVk0cWX3nw1OKuI2cW77z1m94Z3X/nx15oSHxDt7/TDL680mIQGTzFex9+8sjLfu63/kq+6ebDL/uxf3TaW2rNsdxustyqstTyWWp5LLUEy62U5VbM0mrK/CocWRLMza7yC9+9xEsur3Hq/DRnL9Q5u+hxfskwv5hweiHlQidhcnrAy6/r8tIrIZBVQhVyfrnCuUWP+WVBbwhJoqkEmnolZWoiQQMn5hPaXdi50adeHWKMABHQ7Wt2bBqytOqBsVJktQvDBAyG5VbE1g0+nb5CKIPQQ5oVnx2bB6z2BCfOeqTaY6YpaVQEoQ9JIugNJfPLknNLhvMrCWE4AD/h1qu7vOwawVyzytJKk1PnQ84uwvnFhPPLCWeW4ciS4cVXL/KL373CpskmJ+enmV+qsrASsNiSLK+mrLRjVtopyx3NUldwpi1YXunxaz82TN5x+8QD9Y3fqyvNKx6Q6J9O8QkrzRcaKhe9/Z1l8D/48F/w8ltv4id+/Md/6c/+8sv/5x/82Zcu3XdyddfBMx35imtb7NmiSVIPbSTGWPbGSEACAiEMnjAEEs4uVXn4sOS6PctcuX1ArQK+Jwl8RRB41KuSmi/pdX0OHK/whccDTlwY0k5iDpwasnFmmbe8fIXrLu3w4itbHF9MWOwJauGAo2cNrXaday+RrA5S9h1XNGoez56Ay7YYBlHKIA3wvJipBuw/FaK8FF8meD70h5KXXNmj35Ncd2lKu59y4myD3ZsU9VrE6tCwYbLHSrfNx74MTx5LefrYgJ1blrj+ijZT0xFvurXDt99u2LOpQRpPcuzMBEdO+5ya15y+EHP6QsqRC4KTqzEvunyBX/juDhsnJzk1P835pRoLqwFLLclKK6XViVntpqx2DStdwfmeYqmdcPOVi/zztyzIijK7Fs6f2D0YJLeEzd3Vam3qi08+9Cl+5/1/9kJDZt3b30kG/6OPfILL9mxVjz91+OeOn5z/d088c0KdX4lYHijO9AzX7DjPr//wAjfsqXF+aYqlVo3lVoXlls9y22OlAyutlJV2wnInYbEFp1YEXnXAbdcs8x23R+zeUGe12+TCcpWF5YDFlmC5ZSXCSkfT7mvaQ0NvkDDTjNmxUQOC0DecvuAjZMjODYrdWwxbNvQ4vzLkqUMNbrrMUKuu8MzhaRr1iCjymZnS9Adw1Y4BH/nyJFdsTxgODbMTkjjt06iEPHt8QNWvc8PlCU8fjTi/FLB1JmT3ZtixKUKpmNOLEPgGIQw7NyZMNSSdfki359Pu+Sy3FcursNTSLLdSFlsp8y1YGqTs2NrlO161yG1XelT8JucWmyyuVFhc9VhuC1ZamtVOzErHgnupC/MdxfnVhJdcMc+v/PASl25psLTaZLVToTds4lf3pEFt0y+FzUt+Me6dTW95+dteaOisuf2dAvjBgwepVCvVM6dP73j40b3vOnbi3H88fPQ0w0TSGUKrJ7jQU5ztJNx0yXl+7YeXuP6SKhdWplharbHSrrDc9llpe6y0odXRrHYSVjoJy23D+ZbgbNeA6PL2V7R400s0l2yuEEU1VloVVrsBrY5ipSvo9ASDoSFKDGkKShpCH6qhYbJp2DAd4/kDjpyL2Hs4RCd13nhLhOev8ti+CXZths8/nPCKa0MutPpUPEWSxkxPQRL7eH7C0lKNl9/Y5vMPNti9GR49NMSnxhteoklEn71HUo6druDJgI1THlN1QTUUBIFACUg0RLFhEEGnZ1jtajo9zWpPs9Q19NOUndt6vOmlLd7+sgh0g6XVCS4sW1m33PZYacFqJ6XVTVh14F7uwbm2YqGd8uLLz/O+H77A1TurLKxMstqp0eqEdPoe7Y6g2thGtbnp389svPLPt27denI4HPQvu+yKFxpK+e3vDMDPnj7Exg1zwf6Dh793//7Dv/3gQ0+IxeWOjGLoDQzdoabTF6z2BRf6knOdmJdceoFf+YElbry0wuLqJEurdVbaIaudgJWOx2pH0OoYWt2U1U5Cq6tZ6RoudATnWpqpyR7f9OIOt16ZsHOjoln1aXcqhL4EFFEi0VqgDfQGgNBMNQYcOmPQJuLuR+sMe1Uu3Rpw23U9Yr3KvY9PcsNlPofmu7RWmrz0uh5ffCxk47Rh3wnDv3xbm33HQzZOS77wuOK2qxTLvTZHT01zw+UR9+7tkwxr3Hp1wJ7tA/pJl7seU5AKjpz2aNY8PAG9vkQbQaoNcQJIjRdoWl1DvRGzffOQl13V45tuSpipVzi/PMHSapWVtj02K21BqwutTkKrm9DqprR6huWeZL4jWOwk3HLFAr/0Awtcv7vCwsoEq90a7W5Iu+fT7Xt0+4r+ACJd1Tt2XWu279zzI7t27/nD5aWF6NprrnyhIQX8HQF4HCVyOOy/5fGHP39pHMfve+jhx/xWV9AfGHrDhP5A0xtoukNDpy9oOZCfbSXcetUF3vsDC9y0J2C1PcHCSoNWt8JqJ2C169HqKFo96HQN7V5Cu5vS7WtaPcNCV7DQhTgdcv1lfTZNp3R7hm9+6ZBdmzRJKvGkIYrhnqcqnLxQYfNUwjNHKqBrXLlNceMVmrDS47FDPRYW61yzq05zcoUHn/a5+bIKS71VVlaabNpkeHif4p+8pssj+zy2bfBZ7LZYWZ7mxqt6PPhMynR1kmsu7XKh1eLh5yapenVefIXh8h0DkF2eOibYMB1zfiHm3qd8BrFCSki1YdfmiG96aUSnq9gypbnxMoiiGsutGsutkNWuT7unaHUl7S60eyntbkqnl9LuaVZ7huW+5Exb0OoPue3yBX7x+1d48WX24mh1qrR7IZ2eT8eBu9uXdAeCdjdlpR3xohteHHue/2/f9e3ferheq37G8339QmPrBc9kRsMeadr77jMnHvv1hfmD08vLy9QqEm0kQhgQIEgQAhDWAhTCIKVBSo9HDm7kpz/g8bbblnn3a5bZvTVifqlJGFSphgG10Kde9ehUJY2+z0TdozdI6fZTNg41/aGhMwhZXqhw+pQhSjRn5hPC0ACCQBk8Kej1FQKfpOfxol2CPVsMO7b2GKYd7nhEsf/wFK+/KeTGq1b48B2GQNTYtbXH0w8qtk4qZps9KqpKFPtc6EC94rFto+DJ/RE3Xl7l9hsW+dBn+wR+g9fdYvDDHl96OOLzD9V57liVS7bU2LU5ZW4qYvdszLW7UpTSeMoAhloYMjcZEsU+nV7AM4d8ugOPXl/RHUi6fegODN2e/eydfkq3b2j3Dat9WOgpzq8YahMtfvSNC/yj24Zcf0mdc4tNWt0KnRzcit6gAHdvYBhEhiQV3PfAo/709Myvb9jw8PLtr7jlx9rt3oeazdr/ugCPh10QfP+5Ew++99iBL03H/Q6+F1AJFak2aCMAhRAgRIoQIIXtpFHSoGRKICVPH5rjiYN1Dp29wNte1uVlVw+YbDRZbtWotys0+wHdnkfHnez+wKM39BgMDYNIE8WGODYkqb1HSYDRIJXA9wSVQDDZEEw1YNOsZtvGHrNTLe58DL76hI/UE7z+Jp8XXdnh/udiokGT214kaPX7XFiqc+vlmtnJHlUvZJAoFtoxSgtedLlHrTHk8QMVXnnjBC+9vsPjBxSYCW66OuD73rzMF5+M+MIjdfadrLBjTrFpuspUo8ZEA6oh+J5BSdAG9h0TpKkgTgRRAsMY+xmHKf2hZjC0K2FvqOn2oT2Eha7kQgeGesBrb1jmLS9r8Y9fp0mSJvOLddrdCp1+QLfvO9ZW9AaC7tCusP2BZjBMiWNDFGsOHzvH2Y/dMd0dpP/5H33L7V672/tAs/7CgfwFA3gSLSJl8n3nT9373vnjX9ogdZd6LUAOtUvYOLsPgRAKIQRS4sANShk8ZfCVpuoLFntVPvrlbXzpiTavuHaV97x2lWt3d5mZrLG0WqPTD+n1fQdsZe+RYBhL4kSQJHapt7VbNqj0PKgEUKtqphsxWzf0SOhy6EzMx+6tcPRUncmwys1Xe9x6XZuHD7a4+2tNbrmswo7NPT7yZYESIc1GzGp3iDagBMw1e7Q7ATqp8pZXXOCjn6+x53yFN93SI4qXuHfvDHFa4SVXb+BNN7e5bHuLLz3e4+lTNZ46FrBtWjLdFNRCQeDbi1AKEMKgDWhtiBN3scaGYWwv5EEE/Qg6A8HKULDcAeENuOGKVd7zTau84uqUmWaVlXaNVqdKpxfSHVi9na0EvaGkP4BeduEM3MUTWSmnjeLchTZ/9LEvbOhFvPft3/Jyc+b8yh9s3Tj1vwbAh/P/mYOnruPkoS9+j2L1fb3VJ2clLaphBUSKgRxkCCywhUAKiZIeUqYoJdzyrPGVIfQMVU+wMlAstab4+D11Hnqmy23Xr/Ke161yw54WM2mVJAnpDSp0+z79oUcUK+JEkqSSVAu0ETYLKgxhoKlVEsIgIvCHnFka8tlHJYdPBxw7PYXSIXs2B1y1W3HTlW1UuMDeIw22Tta45hLYNLfCcrvJtVsliTbc+UjIsCeZrCe84SUDPnNvzMn5Bldc6nNudcCzR322b5zi+t0L3P90hwefFQyjgCt3T3Pl9pArt3U4cm6Zw2fgkf01Dh2tU/MEoSeph4aKD1LaoMoYe7EmKUQJRKll3PZA0I4h0gnaDHjxZW3e801tXnFtyubpkMFggqVWhU43pDsI6PU9ugMrSfpDQX8g6Q9t3+hgmDKIMnBbgNs7xFpx4lyLD370KxuOnjj/vk0zteTP/vTTH/7rxxf54/d97z9cgP/4e/8bwcZ7mOvof8zw7G+2VuYnpTFUQx8lYydB7EmS7rmUEilxoFYoJfCUxlMpvicIPE3gG0LfUAtSJiuCztBnpT3FJ77a5MtPDdg41eNdr2px5fYBg36Xa3Ybtm9SDGOfNC3S/AKDlBrfSzlx3nBsXrDa13z6/hpnFqcwkc9URbFlxmPnJo9LtsI1e9poucj7P1NneXmCW670uGZPiy89JRCJz4YpSb2W0IsDpJFgJMoLaA0E55cFV5sar7qpwwOPV9kyG3DLNdP8szcv8oef7/DIgTrdgc/SaoPdW6pcsbnHSy7v8G2v7HB2eZlP3x+y1As5cc7nzJkAXwmklAgE2hhSDbE2pIlmaibmuqt7DIcxV24f8o5XDdkwoZhuhMRxhXMLFXr9gN7QrnL9HNjSgnsoGAyxYB6mDIbaJrEiw9CBux/BIBH0I4iMx/H5Fn/4qYdmL9m1+TdffN2G+I/fd8OfLp/8ZaZ3/NQ/PID/zH/+KN/9rd8h/tlPeu/cUH/299/5sqdqV+2s0ulX8CKDkjZ4zO5SGoQ0SKmQUqKkdOCWeErgeQLfSwk8QeBrKr6hGhtqkWGikjJVFfQiSSeqc+x0nV/502nQCSJJuOm6Hrs3RSQJaKMxxiZxpBBIJfD8gAMnA/YdrlCveDQCyWxNMDcj2TDtsWVOsXNzyhU7V0nFEv/1k01OnJzklst9rtyV0k86fG1vyGTVZ2bCMNmIqFWtFNJa0hoolruGpVZKq1vl5des8ui+HvtPKiabFV5y9SQ/8JYlfutT8PjhOt2+YbXjcX65yabZGhumBuycGfDj7+zRrLV4+hgcOCXxfYNSBiE0YOx/BpIEdm1Kue3ahDT2iZMQY2oMIp/5xYD+0K5og0jl8q0fCQZDwSCyrG1BnDIcaoaRZhDrHNiDyDCIYRAL+pGgmwg6saATw6AfMzvxxOS33DT9+786v5A8feqnPn720Eaz5bLv+4cD8Pf9xp+yZ2tDffgvP/z2c+dWP/yH97cqT+5v8r4fXuXy7RHdXg2lQqTS1h1RGiV9F0galFJOb0t8z2rOwFcMfckw0oRRyjA2VGPNMNZEkaGZwDDWDBOIEsEglgzTkDitsP9wnaf2Q2oMFtpWG/sSAmVrPhohXLMZmlWYqEumGoqZSY8N07Bj05DNc6vEZpn/+skJjhyd4MZLFJdsk+zZtsJXnk04vzTBTbslU01NJegTyhCjBEkqEcaQpBEr3Qrnl3xuvLLKiy7vcP/jFTZOCWqVBjdervnRty/xm5/SPHumwWpXs9pRLKx4zE7WmWpWmWpO0KzFzNVjdt4YEfoJvpegVIoUVucZ7EUVx4oLCx5xoogTRRQrhrF7jCTDWDKMJINIMoyEDVAjwTAyDCN7XIdRShQ5TR/brw8iC+xBDL1Y0I0FrVjQiQzJoM+Ldq3wn374ArdfMV87f37qw9PBB3RrcMknD+39SHrZdf/k7z/A//V7P8a8rqjjzy6949zJcx/au/94pdKY4M5HrLz4xR9scdXWFF8lKKlRUuPJAE8alPJQ0uArg+8pfM/gR5LAF/Yk+IJhoIhiC/Q4NkRJal2RpHRPIUkNaapJNVZva3JwCwFKgifB9yH0BJVQUAsl9ZpioiaZmhBsmE7YualHo77KJx+IuHfvNKuLTa7bodi52eey7QNSscqdj9So+x5zU4pGbcDeI/DcUY9rtxt6Q8X1l8Vct8cwfy5lYSWgP6jxxps73Pd0n0NnFPWqJAyaXHuJ5he/Z4l7nu3zmXtmWWobdm5IWWl5TDYVE3WfRs2nXjVUQk0YaEIvxVNWaknXWmkMNmGlBYmWJKkgSQRxIokSQRxLhrF1XqJYEMWGKIJhnBLFmqhEHMO4fHes7cDdiSWrMfSGCTLpc+POZX7++5d4w02C5dYkqyvHK1618seT08N/Wm/U/mLx+O+ls7t+6O83wHfUE9kbrrx737Gzv/PkMycqnudR8QVRtc5fP7iRKFK841Vt3vGaDlPNlE6vgpIpykvxPB/fS/E9Dz/2CD3FwHds40uiQBDFwp6cWBEnEMXSOghJYfslqSZNrbuQGueUuEA2c2eUtLIn8ARhIKmEknpV0KwZJhuajdND5qY6JGaVj98n+cPPz7ChUuG6HYIdm312bdHs3LzCJ79mWF6ucOUmxVQTGrWY88clF1ZCgt0wjAVzE5LJSTh0zLDS1swvVrhsV4XX3NThs1+tMNOAMAhQcpJr9wh+8E0X8OUF/vr+KZ47U2FjO2bDZMJEXdGoKmpVSTX0CAMIffA86zBlcUwOcuyFnWpIU0GS4oAOcWqIEojj1JJCrImyx1gTxTBMMlfGWZCJoO9Yu51IOrEmGsRMhG2+442LvPNVXV57g6DVqzOIApRSpIP9lU4r+f1W93LP0PgzLM/8/QT4+z/8KdJUf88z+5/7tTPHTjWnapIoNTQMpEbRpcGdjyi+9kyFcytL/Mu3d5lqxlTChE4vwfcCfM/H93yCKCXyPYJYMYwlkW9T6ZZxhGUix0pJAnEKaWqdBK1twKW1yXo4HbgtwK22F/ieBUglhFpF06gmTDYS5ib7zE6t8sD+iD++u8qBY5PsmvDZswm2bQrYthGu2NGml7R5eF+TqvKZm1JMNmCyMWRqIiEIPISwF1d/GLDcjlntGVrdhAsrATs2NXjplRe4+5EeB840qYUxvgoQYoI9WxXf9bpFXnzFBf747gYPPzPJUtdjQzNhspZQq0iqFUXoC0Jf4vs2VlHKBe2ur9I6VMauXg7oSard6uasxUSTpBbcSQxRYop7bF2ZQWJJpRcL2omgk8Kgn6CTPjPVDj/y7Uv8X9/ZoxoGtNo1+sMKUeKTpIo4CVidP9f0qtX/OjV3bXBo76f+8LLr/vaKtP7WAL603EIp9f2/+8FPvPfY8dMz1VDgpVbrCkefUii6ssbqQPFrf+6z78gKb3llj1fd0GHjzJBOp0rfCwj8gDDwGUYeYWztvSiwAI9jSZTYZTdOnKed4qw/HHNLtKEAt01SOuYGT9mESeAbKoGmWkloVBKmmkM2z7Y53+rx25/2ufPRaZZX6lw6J9ixQbB1Q8C2DYLdWwZ4wSofvdfj6Kk6l2+UTDUkE/UUKYecWTCEnkQKMEYQxR47N7R5hJR2T7HSNpxfrnL5tgrf9qoWf/GlgOPnQ3wvRggfberEieSm3Svs/M42dz7e4yN3TvPY8TpbpwSz9ZR6JaUSCEJfEPg2VvEUNnCWIq/JMNiLTBus05JawGcgT1Ir6SzYIUptrUuUJY8SQT+BTiLpJNCPNGlvyLbZDrffuMJbX9njm1+s8USNlZUKwzhkGAVEsZff40TSXT4zU23sft8VL3q7Gg5aHwgrfzsTt/5WAL68skoQeP/ss3fc+94nnnx2gycNwhdIYRxr2rsnNL4QdESFduTx0a9UuOfpDjde2eY7X9fjTbe0mJkM6Q9C+sOA0PeJEt8dJBsgJYkiTiVJIolTQZJI0lSQalFobW0vKePAndmRSlnXwVeawNeEQUo1TGhUh8xOdunHfb601/Cxr0zw8DOTTAU+1241bJ6WbJwJ2DIn2bYx4pKtKzx9vM+n75tjQnnMTQiadUGzFtPqpXz+axUagf3s2kB/6PGW24Z87iFbE9Pqai6seGzb0OBtL+vy8P4O+w4F1MMEJYUFua4xiKzW/67XtLh88wU+ek+bB5+b5ORKlU1NwUTFUAs0FU8T+OApgZK4BJn93Fn5kXZSTetihUsc0C1BQJwK4tQBOxUMEkEvEXRTbMwTRdSrPd72+mXe/bo2N12esnHKpz+o0+qERHFAFPsMY484I6ZEEbvk2tlT+zYE1Qffu/uKV+p+r/3Bau1vvnHibxTg586v0ggHKF999733PfCrd9715ZlWa4UwUCSp04Qye8wCO0MgBV3l0/UVp9shZx+q8dDeLn9xXYd3vKbPG24bMD0ZEA1DholPFPvEiT1ocaJIUkWSuoRNWgBcG8fcuqgpE+4iU9LWcXieJvBTwiCmGkY0qn1S+nzxccmffnmSZ45NIOKQXVOGzZOG2UnF3HTAplnJlrmYHZvanFro8LufqZMMq2zbJphseDTr0KzFCD+i3a8z2TAIITAG4kQyHSoSndCJAzq9lJW24sxClasvafBD37rK+/4s5MRCHU/F7sLwSJIKg0iyaSbkpkvbXHdJl2dPnOFjX6ly92OTnG1VqYeKRgB13xB4Bl/ZY6ykI5bS+dKA0faiS7UgNZCkwvrnqSBKbZKonwr6KfQTQ5Ik6HjITKXPG1+7yrte2+EV18ZMVH2iuM5KK2QYB8SxJaIoyRJqKk+sZYTU6bdYeeyeDatd71cvu/Lm5NCR8390yQ4f5U//3QR4p9cHqm/9ypce/q277vxCs9dpUQ09C24pXNBjAa4EKGHwnHsRppqKEvRUQC/xuDCs8NcP1bn3mR4v+UKXf/XtHa7a0WbDpKJZ8yw7JD5JUoA8zQCupev0sZLA5AGlS/UrY5NFXkIYJPgqot2PWWjH/MYnKxy7MMXj+yYxOmCmKtgwa5idEMw0FTOTPhtnJJtmErbO9ZiZXOHOJzSPPTfJddsEUw1JoyZp1jT1aoTwh4Shh6fs3zcG0lTSH3r0BzGJFnT6mk7XsNz2mV9qcusVXV569Sof/UKF6rLCk7EFpPFI0oAotj2es5MVXryny4sv7fLI7Wc5sSD547snubBa4/RSSKAkdV8QZDLMkUtO5JlUwTJ5YgSJhlgLhikMEoi0gTSBJEaqIVum+ly3056Pm69KaVY9ksQy9jAOSBLPEZByAHegzpjbgdtKSkV/0OXY/rtnNs0kv3XJ7pesxFHv03+TmPwbA/i+fQe5dNcm9Vu/+5FLn9x7oLm4uEy95hNIC26VWhZRqUAlzt9OwUsFvjIEiSFMBTUl6CtBzwvppz5LUZW7H5vggef61MMh//SbW2ybSdi1pc+t13TwhG0RE8LKFZuVtLXSxpSYG5s4UsJ65oYEZMKzxySP7vf47MMNnj3ZIEpqNDzFXNUwXTdM1Yz1wZse0xMeM5OCTdMJW+b6bJ5b4d5nhrz/sxvYPOkx14RmXdGsCxq1hGo45IGDikHk4dctqIwRRImk4iluuLzPQ3snbeFTP2W17bO4GnJ+cYofetN5Ti8u8dCTc/gSEDEacgANI0m37zHVqDDZrPPSy3vcfl2P73z1AvtPaT73cIWH91c5eLROIjyGQ0UvVighEUKMBZ4uJ2A0iTYYrfFFykQQUSHmpTd22b15wLbZmPe8YUg1kNSrPlFUo9UJ3ErqOcJRudce5+CWLvh3MjKVTgbZxNqw3+bZpx9onj+/cOnNL3+3OnXycLp9x6V/dwC+b99zbNo0HTz6yKPfWwv1r6XDFSYbPkKCNpa5UwlK45I3ApVgJUJq8BLwpcDXhjAxVJSglgqGGgapTz/16aUVOp2UX/3oFCaJ2Tg34OodA2YmEt7xmj47NkTEsXB6W0KJuXH6U0qNkIJP3FPl6SN1hOdx4myNM+drVKqKiVAwWTc0K5pmBRpVwURN0WwophoeM5MwO5mwcWbA1g1tUrPKJ+5r0u/WuWyboVlTNGqSRlXTqCT4fsSdD1UY9iT+BtstmkmUelXxxpf0+eoTmu5Q0u2ntHseqx2P+aUaV+1u8I5XtHn82RonlhsoqYHY6WWfOLVu0iCSdAcerW5Ao1qjXh1y1bYBt1wx4NSFFsfPreL5KU8d9fiLr9QQyhauMT5/0GhAgzHEUcrOjQnvek2f2WbKFTsNG2cgTXyGUYMk8Vlp+ySxIk49Fwcp4lg5p0Q5MGfAFpa5U5F78Km2lY/GQERA92QbE5hfe/qpx3pbtuz+w4MH9kWXX3HV3w2Anzl9msXFxcvPnDn923ufflw2aiq35VJt0MpY31U7FpeuWk8LvMTqxDg1+CkkShCmhoq2NcaRNkSpYKglw1QSaZ9Yw0K3yVee1hhS/uphO7IBo909y+I5i0xkFYkSqRRJ7CG1h+9JGiHsnjPUfU0t1NRCqIWCelXSqFo5NNGQTDVhZiJhbmrIlrkOKSv8xl9WuH/vBvbMwFTNsXdN0qgm1KoR9VqfarVGqKQrRbDBrtYQxz6DvqA/TOkMFd2BptPXtmWuHnD6/AQvv3rIj77zPL/+Fx4nV0OE0BgTo1NDnPhEsWQwtGWsjb5HvRJQq1aohTUqYUyjGnHTZRGBH3PzZQnveW0PTyUuCaTzevsC5HaF0VoihCT0FRAwGHosrXi2bifNYh53T2QRAyWZ/JA5oONkLbAT58FrLVziTZIkhq997TH5okj9drfbv284HD7zN4HN/2mAf/XLn2JyUlWPHD389iMHD4ta1bMReOIyh6kFeaqsJEmlsOBWNlLPH1Pb+5hkEX3qovossteieK0FkZYkRpJqj1iHpM72Kt/yLKUATwibqVRQqRoqnqGiUkIfQg8qgaEaCqqBpFaV1CqeBXhdMNnQTDcTZiaHbJjusmXDEu//rOYjd29k+6RitqFp1hWNmqJeg1o1pVGNObekOXIupBLYCxqySj/BIPLYvUmzaXZAexDQHxjH4pLVjkejWqFRm+Q9r73A0XPz/P6nt+JJD4Mm1SmJNsSJxzBS9CNbFNWrSGoDj2roUw1TWh0bYwR+ahNmfoonbaOElKlztezdlq4IQDiQC1raVVlqG9ekqURrSaKLeCfJJYd0yaPy1wpgJ5mz5dyZNMWBnTzhNIjgsceeEjt2dd6+devOI3/20U/0v/Pd3/7CAnzzHEGne+6n4v65nwq8gaxXJcPIWnBJIqy3qh3QZQZ020vopYZEg5fiPrBLPmjjXpv8a8XzolLOerkiD5TKmhsYCWo9qW1Aq+yK4SuB7xnrG3uCSiipBJJqqKhWFI2qpFEzTNRTJhsJ080hs1M9dmxc4uGDQz56zxamKiEbG5pmTVhwVyX1iqZeSWjUhjx8AJ7aX+PSOeN0b5E27w8VN19huGxHn0eemaQ3NPQHKd2+50DuU6tUqVYm+Y5XLvPUwQs8tG8TGIXWqS2HTQxJbPJ6kv7QozYwVCuKSqAJA58wSAk9jeel+J4tMVbKNoxYR8uAMHluwgI8C85tCbHOHCmd2a8lKzYDtmPm4nWWLR1l7TR/dGSVWAKz2VPDSrsjo/TMzw3iMKhW678ERC8YwC8sdaVO+j+/sPdDPzbsngkqYegOEchEoKQgSR2gHbjTVJO6PsJUGTxtHMtb0Gt3Zad59hHLzg7k2mXismSFMYZS5n1kxS1KbjNZ5DKWilLRls3+hYGiEiqqoaBWFTSqhmYtZaKeMNkYMjPRZ8vcCg8d6PPzH9rIydOTXDKrmaxBs6qoVxX1CtQrKdVKTOAPaA0MSip8ZQPt7GZPuCROAprVmF6i6bk6694gpdOTtKqKWiekEjbYtSnmF7+3xX/4sORr+zZiUGijSVNNkiZEiSaKFYNI0Q8l1aGiEkjCwBAGitDT+L71+z1lLMCVBbjK2gKFGW3Qdal940jEuFqW1AE+1cWjJSOZs3IOcPe8zNYZsNO08NzTVBMnhihOiRLDgSOng5jav/2Fn/lu/we/t/PvhWj8D6fz/4cB3ul00Dr9pc998f5/M1g6W/GEh68MqWdsbbUElVhQpVKQKAdkJdCZbHHg1ip7LdDa5GlknXu0YFwLW+pKQMt3xgBeTiZJ6SxJKVDKSiLPtaL5niQM7ACgSmhHMlRDQ72iadRSmrWYiUbEdLPPlrlVHtrf4z/84SwHTk6zc9o6LI2qpF6Tlr2rhlolpVaJidOIP/lCA6kUvjQ2g5sxuMmWcJ/vev0Kdz0W0YlCeg7g3b6i01W0Qo9KEBL6Ta7YnvAfv2+Jn/1DwYPPbEQbSaptWj1ObKHZMNIMK7bcNQwFFV8QBjazGXgmz9h6SiOVjYekMLZRIgN4kfIEHIlgcwnWbXGBfAZgN3VA58k1HLuTr7j56lx6THSWOdWkiSFO7WdIU1tYt7J0srL3ifv/j+tvfJ3odLo/3WjU//8F+ML8EYzRL12Zf6pqYkO1YlPRvrJHRkibJlZOY1sWF6R5ejgDNznYdYmh7XNywFvbzzjWJit3xoy9rwzgWQ1GlsnL2NvzsroTie9LW78RCCqhnXlSC1PqVQvuZj1istlnbrLFw/t7/PwHp3n2xCzbpgQz9ZI0qXjUK7Z+pVpJqIYRvj/kzNIUvhIoqZ0tVwSZaSpJEsXmKUOSxLTjiuuU0fQHKZ2BpNpTVAKfwK/gexNcuS3hP/6zBX7mD+Ch5zbY4CzVxKkhTlLH5JphqKlEkkGgcgnm++B7zrlS0uYCZJF4E+5xHYxbuYJLCiHy5JB2yaEsW5ympa/rQnIWwDb5SlyOz8pFcdpA4At0EvPZux6vetVdL/2fmVH+PwTwQ898joo3qD3z1J3BZHWFyLPdMEa5fzADl7BOiJKQKoolTFqmTj1ysI8CO5MhJge6yeRI9vwi702KoohKSqwH78CtpHSNEpk8gYoPYaCpVgzV0OrnWjWmWYuYrPeZnWrx2KEBP/uBKfaemGPLpGKurpmoChoVSa2iqFUF1Yq9OGyqP+KhfYLuIKCicBeZ1eBZE0KqBXHiUa8obr2mw8PPNunFVqb0hym9vqITKsJAEfiB08+TXLVd88s/cIGf/D14cN8GYi2JtXbN0kUP5jCQhIG27O0XdfSeyu44mVLIuKyUYj2QZ0khkwHcAT7NnRfWXXm1i6UyRy1ftbOYKquBcXGXTu35HmrBgaNL/P6H/yp417d9c+2PP/rZ3ne9+81/+wBfWTxOY2r75IEn/+J3dTJ4ZaBipFCkWiB1ATApDYmUSGmKZUu6g+BlSxpoJdZn7RKgdQ7soikYp73zkyFsQZGQpT5OB24LcNv25nuWyQIf2wkUuAKrMKXq5EWjOmSi0Weq0ebJw0N+9gNTPHV8A5smPeZqmokq1CuCelVRqypqOXunVMKERm3AvU8FrLYqTE0VafIMMNpp0zhVbJhRvPZFXe59VNsumkiXQC6p+JKK7+F7AZ5XRUrNVdsN7/2BC/zk7xkePLCBWHvErgLQlr1aJg9jmVcXBp7E81wRlhQoLzs25O8vuwgzqSKyqjSKhND4XZcetS495itvabU2pgT2gtyS1IwwfN5uF6d4fv+V+w8e+4N//v3v/OFbDh1fvfKyXX+7AO+0z9LvLvzk6vLxd0eDRfwgQKQamVptJrVlAzvuTFtZoi2D65Iu04r8qrcTmjIZQs7eI4HkOHM7pGfLV669ZVZBV+jurGLQU9j6DM/g+7axuBJoKkFKtZJQq8TUK0MatQHTEy0ePzjkp35vliePbmTDpM+GWspEzThwO/auSKqhZf9KmFALIxI9pBOFCCXxMwbPNbhw7OYye7FPPRjYcoGowlQG8kFKL7AMHgbS1sR72Qa0hmt3Gd73w+f5id/RPLh/I7H2GKaCKNWOxQWVWBP6hsC3zSWeizs8ZUuEbRugPU5WpojSCmiPan5hlmOdMXDnJFQipjK4i7jKgTwlJ7WC0TOmt6tCmkJqJGfOLfHs/uPv/uoDTxwZRvHP/K0y+MrSaeoTW3fufej91/XbZ/E8iTYage1618ZmK5PUZitTDak0uSbL37wugdsFKSYLJk0RiBVMUWQlTXnNzFi7HFRmy62rcVEumPI81xnkipCy6sGKnzrdHFOtDJlq9piod3hoX8JPv3+WJ45uZG7CY66aMlExNBy4qxVrJ2bgroYplSChWY/Yd9xwz+N1AinxlXZBXKEjs+U7ThWJ9njVTTGXXtLlyMkqczWKPsdhSm/gWNhTeF7RxieE4Zqd8Ms/uMjP/J7mvmfnGMRVmwxLDDVXwx36WJB72eqlnUSRSJXmK5ySogRwUQI5a/RKAXIzCvC8QrFYeddbmYv6/OJ5Du7SKpBqg1SKYyfO8cV7Hr3uF376B3ceO3b6xO7d2/7mAT7sniKoNHfNn77/vyTDpbeatIvvKbTdug+VuSCuCz5bhrUU+RCfonx17ZKW+cMm97THXJI1bolj7nFwC4NURbbUJpUca3uGwNP4vib0NWGQUAkSKmFErTJkeqLHSqfHV5+BX/7TTTx9eJZZB+7JqqFRFdQrIvfKrfOiLXsHFuDVcEiUpgz6FSrKXmRSiJFKviyRYgNNz2p5b8gwMvRjUQK4JghSAt/D9yWeUnmvapaFvH634Jd/eIVf/bOEB/fPcLbVZFCXTKaGRmKouIkDoW+c9585KSZn70yqiLwgTuRxDKX3LUrH37iTkq2qBbhHJaWt5ixkR3YBFDrdjBBeWroQslV9td3j3PmVt/71nQ+mt730Rf/HgaNnj19xyZa/WYCvLp9E+dVbVhefe3uvtZ8gCAHttLdNCEgtMNrk9pGSWZLAgTyzlBzQ7XJt3AEQpQMzqvmK26gqzE6CHfdAUY6bgTsfDmTLYn1PuzETaQ7uMHDgnu6ysNLnvX9S49Nfm2OxO8XchGSu4sBdsbq75gLLaiiphcYxuNXelTACIr78ZMBKHDATMlKPjRhdodLUNj80Q4/X3NjjoQMRnThkIu9Y1wRDW6seeBbgnjIo6SOkTdBg4Mrtkl//V20+91CfX/rgRk4vTtGf9JgMBI1EU0sgjO3o5UDZgUZ+FmhKkQfB2WM5UC9fmELkvSIj82tGJGQZ2KX4aSS2KgehawDNCAmmWmBQPPzEITZv3vj2yYn6n3S6/eN/owwexx08r37Z0rkv/euo/Ri1KhiTorVAlcx/5cCsSo0Gqeumsewscs2dP+YSxIxIkxHWLssSd6AzZpH5mAn7XGUAVwZPWmB7yoLb91ICPyXwEypBTBjENKp9PK/HvU+l/MHnm3z2/g1EusmGpmC2YmWJtQAzn1y5u3DMXWbvGM8b8sBzk/Qij8217P2MM3hxbOJEUfEVL72qT6ItwPuxsF3rWef6UNvg0BOOxe2FLFxy3SCYnRS8+9VdGuFZPvj5Pl99bob5uEqvImkmhrpnLMg9F4co4+ISV/wms2MoitpxCZKCxcfdulyqZCMqGNXl5TiqDGzrvpjRVXxkRXdxSv41QWo8Pv/VZ7n62sv/9Xd+68ufWO10D01+A9741wX46dNn+I0P34XyZ7bsnHzi9pu3HEWygTh22SstUKZg6pFHXXJISt8bkSOZ1qbQ2gWwS9ZD2b4a6wySIsvK2YpBO9pNu5pvB25lazFCPyYIYip+RK02IAh6/OndHr/yRxs4sjCNH1bY1BBMhynN0FAPoe467KuhzXZWXELI1q+kbiWw8mSxndKNAgKlCKTJA0xKHyW7sLPajSjxqfoDNk32We016MfCjVuzsYLvp87mU87uVBbgI4GrrXx86yu63Hz1Ar/8xwM+cuccy0mdXuhT9yVNz9bghB4EirwZwsuSPm7lK2r3iwRQmVRGxUoZ6IyswKNgL2vzMVCPl12MAT7RgkHqcfjEIr3WI7fr1vKW7uLKoTOnT7N12/Pr8a8LcGNSfvAdr92199n973/uqWPozRWU1GglbHKglMbNQDxawyCKQLL0vSx4zA8CZXCLMWmSgdsUbOKyb7IMcGlQ0s5WKZg7dSBPCDwrScJgSOj3OX4+4fc/V+dT981w9PwUzZrPdAWmwpRGaFzqPQO3dOCWeVKo4rR3GNgLp1kf8skHPA6dqFJxE7jydjEKlOdjHIzV4XHiceVOePPNHf7gjhm6NY+mmz0SRi5uUBrPk27CFyWQ+6WTZVeFHbOSn/4nPa7bfZrf++w0R+cnWE6q9HyPuhLUHNADaeyF41ymfPUTRdeVEG5TmKyvU0BWllWsqaWVNiudyH3ztZaiKbP2OKjLEsYUTJ4aqAU+Tz5xnGeuveX9W7e/8pv7vdbXlSrPC/A4jvE8jxNHH98mhs/t2TwR0e5NEvgJnkodKMUYGxfFOWYM3HltgwO6GWPvjAUKVsho24zowAzY9jEbpWzBbV2TjL1TfC+xnTteQhgOCbwhnTTitz8e8MHPbeLM0iRaVZmeUEwHholAU3PMXcvT99LVqThp4rzzHNyBzV4O44hDp0O6UchU6FycfL4ieaKnnOxJUkkcezTrHru3RahwQCdq0A8E1diORQucvPKdRPEy10OoiwSvirmJHj/01h5vf9U8H/xcm9//xAyL/Tp9r0LFU9Q8QVXZ+vvAdfsoKVx2E7camvWZnHXkyrjDAph1AV6Qml7D5gXYsxUguwAksKHu8/RzPe76yr49t7003Pby2158PI5jfN/nYrfnBXjUP4cJGnONGh8Xg6/5G2djV51nEFLn+i9n5RGG1qUP5Fi+VKFG6cMWjC0w674TU7IDTQ7sEXkiXZWcSi3AvRRPpQR+TCWICPyI1iDigaclf3p3k0/cN8MgbRAEATOBYDLQ1ANDLTTUggLclVAShpLQSRObGHLOhAN44NvM57Fzhq8+ViOKfcK6WRNgZrcinW1LUaNY4fser725w0e/2OXA6Tr9ih3NMPQNQQJ+rPEjjVLS+tbSWrP5cB+K45lqSaIltdBj42Sfn/iOHlftGPKRuxs8um+ChX6dgQrwfY+KJ6hKCLMBS5m9Ko0bekoJ5KM1K+PFWWVGzwgqc8Tyzz2WGDLuZ0bBXq4Qtb+rXMP2at/jE3c86d/8kps/fmGx9aLVVnfhf5jBa82aHHafu2Ww9IWJqcaKnRGoUqSwMqC4cgvwjoJcjoLcjJZiZrIkr0UuMfhI4Y/t0bFMnqeUdV7uaXW3wVOpBbhKcznieTGtbsz9zwg+dEeTux+fYLnVQFYrNKqKSd/QDDQ131ALDNUAx9qWuauhpBIoKoGgEuAq9LQDtyb0rf5W3pCDp+FMq2ITK07fjiZOivoZ2wfpSkm1JIo8NjYFl23vs/dkQi/2GboZ30Fka3x8lU3WzRI1IMc6cwqXysmf1NaHv+u1fd7wkhW+9ESHD9/Z5NF9TZY6NVoyoBt4BEoQSEEosT2c0u5Sp0RxkSrhyn7XYfA19SvjTG7WgjkfRlQCd5b6TxzA8xEf2PR9LzHobspv/cm9E+/4Vm656frL7uB5hgc9L8CPHj8TmjT+HbpP16cn+qRalVK47mM5cJYZvAxobWQpgBR5h/sIwBmTJPlRK0sTgxwbzindqDf7mNqB+JmbIWMWOgn3Pubx+fsbfPqrE1xo1xGVCn7Dp+nBhG87eao+TnZANRDuLl3JqdPdgSDM2DsDuJcQBAmVIMKYmC8/HnLiXJXZaYEvtdOxomj0LbFdXn7qJEV/6LNzo+C1N/b41NciurFPPxZUfNuvGiQwjE1plVK5X42QIzLFZOSSNSpo67dXwyHvenWfb7p5ib+6r8Pn7q9x79MNLrRq9EVAP/DwfIUnhG0hlBLfNYYrYVCIkjQctQ/HPl6J/HCrdFHLMs7WqYGUQmunpQshIwRBtkGkLfN46uih+v+5+cW/E3L0KqD/PwTwP/3MXkK1ykt3neVl10sGPd92dZii86MAapmlZQF07cysTHu5n83AbH+/ZJO4Q1ReBstTZ4XQzg7UiGyWoZcSeDGVSsxgmHLgDBw/q/jYFya449EmF1bq4Ffwmj41JWn4hoanqfqGqg8V34K74tuZhLbMVJbuwn3fOJDrHOSBb9vTjpzV7D0Wgu+7Zd6UUvRiBAXlIMzWSwuS1I5zvnb3kKu3ddl/pka/IqglgjA2DBXO2tOOvTM3JbMgC62S++yZTauVmz7gM4h8qtUh3/PGIW+5dZW7Huvy51+scfxshf1nakSrIUnoMfA8pHJTfQHPPWZMnksXiuB/DZOX3RQK2aFLAM5AnTM7bvpYvrRrcpg7XSP6MRM7lpgOn55sNL/7Hy+smj+Ym1y/4vCiAO+sHhFR1PvXX/ji/zN73zMeyo94yWVDhJAoX5LGkijKxjPIUeYwGaCzC0BSpNuLC6N8IMqHRojiUWTdJhlrC+12eUgJQztJNUlT5pfgC1/xOHK6yj0PVzmzUuXI2TqEIarmUfEUdc9Q97R1EXw7OL/i23FtFsTZXbq7cgDHaW4Hbj8l9C172wsr4tgC7Dtew5ej9mAuUSjqwfOAK0+Cub7GxOfqnX0u29DjmaMJvcSnEQuGHgSJnQmoSgCXUiCkHGHyjCkLC07kwWzWRxmnPkM/oFmN+K7XD3nFdW3OrLT58iMBR0+F3PV4jbNLFdK+j5YecaAQUtqVwnXlS1zGE3LZkhHSuLOSsfBIlpoi25lflZR6avMmaA2xvQtPI1XMS6/p88obu/zRpw9Mft972j8a+NEHx/7s1wf4z//uvWidvvvZZ7r1pw/O8pE7Eq67ZMDtNw24enfC5qmYS3dplBGksRxZEkdBXQZ0wfjF2ykHllkix4wxd0mKqBQ/TIlTw9FTgr1HFV94uMYzxwKeO1alPQwZRiH4AarpEypBTUHN01RLPnDoZXUaWdmsrQsPnSwJAkUQSHcBmEJ7+6nNLPpW51eCGKMjzi9LhibE8ySBNHglm22MwHOQp2a03zFKfAQec9MRUg3oxj49T1inIy4KxjylRzKQMjOpAbK4B7sNTM7kpcFIfqry8RO9YcCmqYgdG2NuumRIP+rzT4+1eOZ4wBceqrD3WIWjJyvEiYJQYaQCIUllKRuU0/dFtIoY++CMM7QuAK4zkGuIDR4pe3ZHbJ2KuXJ3zKtuGnLdJTFTddh7dC+N+MMofXEhsu53fv9P7uTcYkd94ivPimcOzDFME04vRTxzLOKuhyMm/JgdWyOuvSLi9TcPec2NEZgU34Nq3WCM+9BakDjwZ1o9kytjDVKudsp+aCFt3QhCI6Qhjgy9gWX046clf3Z3SC9WPPlchcOnQha7AcM0AC8A5aOaikAKqgpqylBR2HFmyhUeKcvagS9s0qMMbl8SOFkSBhAGONfEpsx9TxP4icuIxlQrERdWUr7wYINWJ2RqQuA5Lz4r+lqvXj/3g3MtLhkOFbMzijfcOuCuR/ucbNXp+9LKFA/8xODHmWftPHaZWruQ8qwTmf8NbbzS37BAD1JF6ikS3459iGPfWql+TD2IecW1CS+9asjbbh9w8JTkqX0+/UjxkS/UODbvg5D0+h5ppLLyTYyXAXzMMsoAvgbYgNGI1CC0wTjmrtZtQk6gec2NQ17/4iHXXBGxc2tK0xPM1iWp9onigJddrYiHx0USvkydO/aZZPPut3zjDL55pv7bQdy/vllRiNRjmAZoHbPQj1joJBxbTnjwmZS/+FLM7FSM0YYbL4941+sGttQxNcxNaG64NqJeyaSUyJewtedc5MN5Wj3BU097LLUl1Yrk4X0+n7mvwiBWDGLFufkALTxi46OFD56HCD08KQmUoCINFQfsUBlCZWwNuOc8X69g7iDry8zBrVyPpsjZO/A1QZAVaKU5ewdBjFIRX3lC8amvNVCBZ+22Ef19cQbPvPA0zRwPxWDg85bb+nz6gTYf+fIE3aRC3elwP9PhcZaUMXm3kBAyB5j9U7Kk9UsA15bJE88yue8pEs/DS1ILdJWilB2kP1VJuO2KhFuviDFiyDte3WMQ23Fuf31fyCP7AqqhYLGteOqZgHZPOpUk1j3DRRLASpN6RXPDDRGzk6ktmU0N73rdgBsuizEa5iYNU5MGhcLgkyYenb5PHPsMk4Dh0Cc2XD+1Zeq3gXUHja8B+NJyi+mpZvN3PvipKypiqKYDjZcqWrGin0qM8MDE6DRhqBPmWwHzq3YmycGTms98xV6JJtVMTGluuT6iUbU1weumJ8uXuXMdVruKR/cGtFsK6Uk7E8V4lpmEh50L7IH0kFLiS2HBLA2h1ATSAiFQEKhiRp8FuSgaHjzbCJA1HpfBbRneldX6GYOnpXtC6MUYE3FmMSAaVggnJIFLeytXlTeSxRQU5FXK6Obd6VoRxT5TDcX22YhADOgnIf1EUPXsEMyshiRLaClZLm+V+d+yfyNLtukie6q165kspFGSpC5voNz+RwlxkqJim0vwVIqUCdtmtVsxNFftGBCZPtLTtFqCR/d6rPYkKlcso0F1mcwxti68XjG89PqYiSmNSezKXlECD1xs5+VzV1KtSFOPJLUTtIZRQH/gM0ik8rrRFZde8/ZmHHXaftB4foCvrizT7bTfN3/2+KtF2qMeStKhLYxB2JoAbRTIFEzqNJMFeIKmpZ2WUob2quHcV8rO6HoAL+s3d3KEQGdbLuBqToUqghwpnZWVgdqlnSVu49bMNy49eq6TXuG23iMHt23rUgQO3IFHXmJqGdyxuKcJXHbU92PCMObUouaP76qDF+BLUQSYuTwRaxi87A9nQ0It2OxgnSj2ec8b+vzVvX2eO9+gm/rUErspra0CLAYoCZXlBMrBXla6mEkhWSrwyu46r4XxPIWf2nkpvgO6kkXSzNaNu+dCu8FBKZ4wCJMyW9N8y8s1iNTJTEBk+2eYtec7h4TAaA8dF/FZGktiI52NqlzSxzpBqXZBsptWO4x9FpcTlvtnXz254ez70jT5F1+XwQ899xWklIFML4DbYFQKQyjtwVIIhkaQaA9jFEaaUuRrQJZsHWNI/TKwzdjnLZ15UXI6S8GLkDJvQVMCfGHTyqGw1YK+tK89iaupcN3jWSGRR2kOCm5ntqKrvgC4zGVLGJi8pS0IdGlwToLv2DvwYqSMODEvWGhXEJ5HKBmRJ3l6vmShjTgKpcKzIhBURInPTHPIzk199s8P6acegxTCVOCnBj9xOjwhd5aKw6hGOhUyl8pO2s1qr0VJGmm8VJMqifKy7cuVK1ZL3X5JxV1IjXIgF9nfRo9ZuSYHeuaAFRd3XuxsH3PzYTwBaEGeGumC5VESMG4koMHw1L55Dp75YmA3E/s6AL9kw+N4Ch7w25xYCexQQWGX3NBl5gIDkRAkxpXKInPLx568kXzWOsAuY9xu9kq2lOcWVOa5gifAFwZfONA6CZA9z7/myL4oBSVvsA2UsGAfAbe0j0EG9Cz4dODOun88nUsU37P6NAhiEmI+90CV8wtV/AlFUK7hKDsojCnSkgYvV15mSZ/B0E6wfdPLujzw9IB2UqHneVQTTeTS6ao0hjorOBNCU3QOZYFmVieUWYdupoqBVNm/6WlBogReKt0udraWJ3FAL5JpOk+wSalLiTc9koQrrN2SR3YRSV4GelF0V8qj5GUe1qXTutjmvRrGbNvY4yt7h9z3NZNPD7sowH/tQ1/g0/vrLx+sfPLmTz2yzEK3YouGHOB8BdIYfC0IpCbNslDaGfeIPNWaM9XFcJ3ds2SBAJU9CoMHudWmXMrYzjcpNK7KgC3tfvLZKIQysPM5KArbj7gewLOAM9PdXiZLjNPbo7XkgR8T+BHzLc3jh6vgBXhOnnilAqUs2yfGEG5PYqnqLu9LlbknHsc+N146ZGayT2ulRi9R1BT4if0sKjX2HpcBjgV5/ofkWKWmcH2TdkqVVrZhxdeCVElSpUmVIHEgLxevZeUQMgN5BurShCyBZfWipDmH79ralRL/FSUbRXY7z47nCcOieC/LoSipqdeGvP4lXS67ZPrm73/XG1/e/s2/vH9i87etD/AKERWlv+WOhyduOHS0xWQo85nS2ftRBrTIslOuaF2afHRauUDm+VR3GeB2d2FGmLs8R3y8hNPLaiNcDXhW6mmbi7NOFStLVN69UgA7a7617O00t0eutzNL0DJ2AW4/r06MEcR89r6QB55pIEOPQAp7rPIKwqKNrqj4G89munLinMVtoJlqRX/gc+s1fd78ig6//9kGURrSTSWV1DBMyOeqF1V/2sk5PXZBXYzJQXsy77TKwJ0qiVLaMrqUbrSELpUil2uATAHydRi8kE0lFIgxRJTKM/LkXwZwXWTJC0YvfscYw2BYZfeGIbu2+jfML6TfYrS8f10GP3/+LBPN+hs++ddf/Ceit8j2psAIXTQdUGjHDNh5GjbPUJbGqI2b/GMApwTuDACyBApJUfNQHm2QMbfdgiR7jWNw8jasERZ33TC+GgW3HacwxtyuZzNw7W2+lzUcJKV7TETMn3+5SWpCVJ69LAeYRV9j5myMaHDG2vW0tKM00kxnegh83vWaHn/yuSGrOqafVuinAj8hZ3EpDTIRedGZtQvHtaiksCZLtSBakHpujINyIPcMSlu5YudI2gpGmz2WeWlyYVGWqzuLMua8KaUE9Iuv5wUyyv0AIzVMIxKm+I0o8UiTkFa/T3Uw+CeXXf1N95w5c/qurVu3jQF8OaIfe5ceONndc26hQy30ScoNpO795dVwpfrtDPQXmzZVBrnILmIxKk9yoI+VZ+ZafExzFmOYi9keSolCi7uKu5FhNw7YnhKFk5Lbgbbj3jYmG8fcRYDpldg79CMePyw5dLaCUT5KSgKp8cbrNEoCfNxFKcoriva+wq+2II8Tnz1bYq6+pMvXDlaJVUA/EVQk+KnBS4STb64LJ3E6HGnlwsifFCUWFyVplHWwZ+6KrXex4HbtbMqUwJ3VAhlXJpAxOfnqIUrgRmQK4CIyZeywUAI4lMup1+sdKI6XZJWZxsqeeqV/aSiHd61h8HZrBZMM0FE/dwKyTZPWawLOagmKJWX8GhXrvf0RaZKzeBnoJXCrvOa7sN0KySJs97wowG2DTJF3i3s5uOUIwMvDf2y3PTmw82xlztwpgWcTO7YrKMYQ8xdfrrG0VEWEnvXdyxfheA1K+ZCUjqXWo6w64k1ra4fNTkve+doOjx9uMkwr9FRANbVaPCtnVRIH7myt0M4Td5atY3FKDGj1rCldYKVRa1qidLYimfy5Bbh0n1PnbXPFNuyyaI4YZ/Cx4Z4iY7kxl3xE3pYkC3lcZydrZeUemcRLU49uT7O83CJNBvm/mAP8j//sr1FKcnZ+hUqoQFhLSWb/8DosjmFEjowy9+ir8kkutPfYYxnQZRYfGS9WMLYsM7gSJRbP5IpEeaMADzw3AMjPtg50GU7P4OepeO2epyN3T9nOnedOwMfvbjCUAUoql70cvRDHM5jrX+4lJ6Xcx+oYPEk9wtTjna8f8KE7ejx9tEqsfHpSEqTauUcCmZrScTK2vUyU11Lt/tbovkVlJk81eLmFaEdbK1cSoFJTDOvM57KI/IJOxvR4UUc0Xlc0DvB1WHysZHpclozrdJN3AfnMnz3I/PwFbPFtCeAHjpzh8ku21H785357d6tzvkhOSCdRymAefxPP4wBmJ7LM2Dlrl5as8ZT2WokicuCMj0OWJcbOgsxsapPnZZu8Ou2txsCdpe/9rDFZ25kheYtY1tOZuHuM8iMOnfHoRAEoz8kTM1YeO37hjiJ8dKDRmBfuunEKz9ej7guu2Drg6UMRqQ7p64BKamu2PafBlbAztu25y9hSkwWZBZMXNlzW/+jlg01FPrwplRbwyu1OIXUxISCbrpVm3f25AVAEl3ngmZPaqBZfU5+zDgOY0jcK51mMEq0jBjBU/CEzG5u7r7/1X9aG3e/thfXtFuCnT59jZaX1+u1bZn/y0cf3olwflHHSYS3AS5QtLgJwMwbq/IOWQW4vojIQCmAXfYyqxIpqZKhmBnKKGmlVAnX+3CV5FM4Lt+C2AC6GAvlleVJmb+X6OoOI5Y7mv/1lg6V+BRH6Vp5IM7KqFINzvo7mzGuO3LJbdlNc6j5JPJo1jx/5tg5ferzJ0jAgkh59KQlcD2Ux8sExuKvrwenirIzWoB249UgJc9Z44LlJU1mQnoFdSeEY3EqiNHdRyGVKocOLdsJCpmSBZw7X0WMjLn581ns90v1VYvjhMCII535y5cJz98dx/6/AMfjjTz1HJQw5fPQkSZJQqQQjqDWlJ2bNF5/nVgZ0+fUYuxUaXBQgl+MSZXQwTQ5saXfqyic0lUDtSYnnJImXAzzT3DoPKn1P5+D2vaz+YpS9fRUTBBEf+7LPs0eqIH2klIRZaWzJ2sz3iHcf8qLVhBRsnvchlmRKoqXb5Mnn2j093vqKNh+6o4L2QvoyIJQiT/ooKYhLAd04k4syk+eyc3TKgVagjF0V7Hwb8tmOltUFxViJYhZNMZnW9nEKOQrwzBErExsjgP/Gb2XQl58LIUnTiOXFU2jjkSZ2YwjPHg4fI3wMCoxwYwIu8ge+QXDnHeS5Di0NTnBgYGy2YHl5z9q9cjbPGfLrAVwWAFelGmrP1aX45FLEV4Vb4peGAxWa27K379mpVSstzV9/pcFiK4SKc09EKRi7iETJPuc4Y6xr22WWoZboNHNTPKaaim99dY9PPzBgqRsSKY9+Kp09KZx7U+wmLWXBlhmwbRmz/ZLO2bzodvcyZ0W5524asHbjr7PjXga5kKLUfZ8N8XS6O9fjo2yOW2VGCTATs2VGLB0vMQ7q8RjPYiUMBbWaIk2UBfixI4fZMDe964v3PPyjD9x/nkpoh8t8w1fU2HvJcV0OrtZjbsQIg4+w98jBcomTEWCPzv4ud7jY4e6Mgjvb2SBjblVi7jUMno2bKEZOeMpmLo8dFxw8UUETIqSXN+cW1YPl+EGUXI3igJRrUXKQZy1/ecq+cFS0tsEmxuPKnRF7Ng9Y2l/FpIFl8dTKFK/k4hTBXbnQywnurIwWXA2RKAWfoKXIrcNybKPc1GAtcdo7Oy8FGeXg1iJn7QLcWWudycsJCpli1pKA+/7FC1DFmp8V+Jw5u4QJb/jRbbte8uSxY0ePe8u9GL3S27TST95w5vwitTDMgyKRa56v8++vp7fLwKYAcgFykWdIR4bWj8gTUXImRCnYLABtGRw3Crjsg5fvbktrVQZ3CeRuv3rflYZm7K3ca8+LUSrmc19rcGixCkEhT/ySdTlywbJ2XMQacjAlG3YsLZ2OafEo8rhkNuJNt/Z45LkaaJ8ktVrcT112Nx2VSjmwchrKbENpk3Kl7GD+XLrnrtBOy+xuj33qVgwpHKvrbIU1OTHlCR+ZHYespW68K9+MrO5rJYspvrfGoxsHuEEIjzQ6T73SfUM1WN0kTe+41x8YgtDQ6Wn6Q5iorSNPnk+SrGeDZReHA2n2/fXdBZF74OMBWgZosQ6wczZXotSEWwK3m09YbNvBWmB7xYCgfMSbpx3IEytPVEy1FvG1A4q/+kqd/iCAmocnBb4YlSbj77+8Yq0LcMb095hlWPbF48RjouHxtlcNuOOBHg8fCDB1n34aEgjyC03lf79gz9K6moO8DBAbfLoLTFk2T6XV47rE2llQr11wKbUo6W9RCnQdSWmRJ3qyVUyIbARItooX2rzMxmVUlf+fAWuE2Z1kkBLqFUOjZpvCpdF4FZUSiISpKmyaklTCIrLGmFFsj+uRNX98naDyG5Qncp3nuRQRBailKu3eoISrTSnAXYA8K5s1eF4xQtlzmzB5ahTofs7W9q6UDTCDICKOUu54sMZzJ2vg+wipHKjc3JBScCnk2IVcOmmidBxz1s6ab8dnO5aq5zK7MIo8rtqR8MaXdXnqeJVhEpBKn75WBClj76UEHtaC3Iy9F1R2sdmxfCrLHEqBUSBNocfzFVWC1KVZhrpYNeR4PDJObjk+So7PGoAXPzfylTFNXrZdO70am5YDgqZgOJB499/3RTxPsbLSZsuGKsPY7leY7XqWH4TsD18kDhhnq/yKHQe3WA/kJYCXAF2weLEDQSFNSlZhztgZwIvJqblEccxtGdvkTO3lj8Vz3wWXnooJg4hnTgjueqBGrx9A3UeKrHKQkj24ThYzP4GjRyzLyNkDW0zWHS+fLeaaqLzbp9GIeONtQz5974CnjobgBQy0JHBaXGlQaWbXufeQkssD0rEMoioA4ikK6SItm2erShbka2PBnu3koaRA6LKb4s6rLjF7OS7ItXgZF/b9jLQGMPozIzly4cIJsnS93fd+GEu6vZB779tL+OgxtE7xmuGiXd6bCcNZn/mlBJ2m9kOP0PH6DL0GzOU3KMrPx3djWPs6lyN5UDnO4FZvl7OZSrkKQ1dRaNu53HOvPB98DNzu7mdTaF2Bv6cSe/difD8mMSmfvb/KV5+pQsUDaRua/VIJ70hpbPlefrHObYR9yMpZyZuRU5PNNSmAPhz43H5tjze9vMezJyokiY8Rir7w8FPy9yTSgsWLt7A+k5eH2CuVMbdlc/vazYCXZTfLglyXg0zH4PnQTiHWZ++R1yUdXsJTzuJ5smhEK+Qy2FAkyQaR4PwytM+sgGgDBm/z7DJKQn+oWWkLhvOKRNtfzIKkAsyjb2IczONgHwf6SPQs7OzpbNOo0QMyBuwRqVJO05fuagzcqnT3ik1QM0D7JVBnzol1TOyjUjGBH/PkccnHv9wAApA+Qqi8i0i5jVTLWdeyI1QIODEGsGJVHNHhuqTBjUCntnXP1lqoPH1vjMe7XtPnCw8OePSInSQQa0UvFa7gy4EuNQU7rll1My1rLIuXgJ59VznQa+n288mC4kx7S8fmwj7m5zDfjGy08SOfNZ6xecbe49LFAT/T6euxev4z7uZJQ8XX9IYDzrclQvkINN7vfq6PEG475Z4iMAGhn22cZP+iHAdqaa0YWUbGZUr5++7N5hfNmO4upIpwyYLCesoAns/JK4PctaYVm03ZnR2KAfgFuEdYu/SYNdZmUkWpBN9PiNOEex6usvdwFXwfpA0uA2FKk2PLgdXoJk6j5D0KLVN6kjdAlGpERqoLU4lWzlFJPYaRzzV7Btx+i2XxfmpZfCgCBhq8VBTyIM3sQguYQqLYNzBa3FSsLEqCUXY8tjLY7KcRCCNshtuIQqrk0pISe7vzWgL7aNZajIK6BPoc2OVjWPo5mQemwmW3DcqDZj3htbMtgtqAIFRobfAePzgDQqDjmIbqs2vOuM1LC2djXDNnTC6yJSRfPsQYo2eaq/j5PMM29nU7pam8R8xY/Ykg33sn3704a74daXgoti5RagzcpaH4uXuiUpRXAriTKIEXc+ic4MN3NBjGPtR8J0/IW9NUeZfg7NiUjtGIXlmjT8aK1sZqK0aLsMa1uEc9lHz3G3t89qt1DpyxF1+qFb1U2SrD1CV/3FouUjeWY2wlMRnQSwCXptDi0ml0qQ3GnSMjhQW4LsVKGZPrMdzkJGDBnuOgDHYKth5xn2DkdXYRaIqciZT2d6W0U8e2zCm2bAwJAonRoP76T359444Z7z9fOHPiyomqoeILV6Rk6zus3s30b1kXl71pMVIjMu5Tq9LPle8qW/qUcGWYws3DK7kiY/dsZELZ484fvUJ3WwdlFNzlvXqKYiq3+4MX580MvheRyogPfabGn9w1CWEIqoJSHjVlqCrjxlGQNzj7pda4IpNaTkRJismwjASoRSxR2I7ZRSskrvG36IVU0iCMZvumiDOLksf2BiRCglBooRDCltKOEssoK+ariimvL2JkVckvRGNKF0NRKl2WWLnUolR9mjk0hrXxhmbE/RifQFwenq9LK0velMwoqWZBfpQoVtshafiaTdTf8kVv/6GTk91O+5tDFRGGdoxusTlRoX8L9mXtMjIiTUZZfPR3xrepG32dL3Vl1h6pAzcj2lvmYCgkiSppb5Xv9FDaiEqZMUmSVQpm7B3jezEHz0o++qUadv6KZe+8cz/7+4KR8cJF88YoA4nyixxAY+DQ5RNdzBW0gafLahqJThWpclo89fiO1/b41D019p32QUYYIRmkPh6uXiQ71qlDSZolfjKolqSTMQ481qvO3pt0QJQGpLGyJdPd0ti/YbTzx7ULUEfyGYw8X99VK399bQynnSwp/1tGZoNb7e8MkGgT0O1FhBO9bzbixKQXRUPSNLbTUwNRKjcd9aHX2F5rZMs6LLFGmpQfx5M6o/ptpAbcJRPK+8gUGrzYKjDbWU2NgdtOZNXu0dqBSmlU5nerBCUTlJMnqUr4zP119h0qtLcU0nrfeQcN655AwfjrnBtHNHjxfLQBecQTL02k8rSwtSmySOFHscdVlw55y8u7HPloSJQqEB6p8OgLgZc6+y5jOjJHRYzwcR4Cm0yXC1Ruo1lpYoxxWtzdhSlS/ML25Uoj0JlMKfngegQ/Bbiz768JMscvgBKWNEXwaqsdRf7+sn3vMYphlOBHEV7g2ZFllcDuZqBEoYfz3bbWBeo4mMcCA7GOZi8Hm3LtlS3GmXuMtbPXGWtnYM+YOwe6KjN5obtVFkRmW5xIjSeLoflKpfh+zNFziv/+ySYD6ZNN0Cq65t0KUq6BLn2ONTbTRW6jy7dzMwyMdpKXNbgYqU9JtUeS+oRpwr94e5e/vKfGkbMeqBi0Ryx8+kKg0pKjUQ42x0CeefMG8Eq9tQaBNPaYZ2wuTeaJ6xE21y4A1FIgTLF6rDUTKIH1YixekOY4cwvnfQsBqSO+VNvPGksBSOLYDgnyPM8OvqlW7Kjg52PZUUmyFtwX971Lz0ei7NHnZWCLMdbONNYouHUhUeQog3sj/rYD84jfXbpLy+K+F9GONL//6SZnLoSgPGcNSidPzIjvnT8fP1HjF/nzAb0sVfLGg3KPZpbCl/k9b4aQijTx2Do35Afe2uGXPxzQim1AYIxkqJW1DdOi0IlUQEnBFmFm9n/7HeWuQmNwzG1ZPWNLY2z9Sc7gxp4nY2NaKyFyBl9vtRuTu2OsXSgC+/3sYsi+Xv53MrDn0kVLu5V5IvBqFY9BVdGseSilCk2TLQulE1XW1bAWzCNXXwnUeS1CBm7WAbcsS5QyaxdTWqUstU2JMqBLTO5px+g6lyZWjug1UkWpJH/0VIwXxnzisyHv/4smQ+1beSJULk/ypuIxS2xEd+cXexnW60O8PB+psArLoM9S9gatdZ7dzFP42m4FXvESfugdXQ6eCPjgZ6wWB0UqJANtA06ZkjN4UYCVnawidV+2Ky24C8lijGNzUQR/lnSMtQ9HEj9WxmR/K3PPxrX5CKbWYe81r9f5XkEi9lNFsaDdE3ihwJubAqElEw1FnEr02MSBi+vr8atPXPQPj3ftjOjusjTJK9IK3V0EmW6L7vKWgarsOuiSVMlAXGJyWVQHjj4mzveOWV6Bv/xSjZVhBm4LcF9a7e2JUXky8l4zu6yE5xzWJXyXtXYuVdw3Rqr6xrde1GN14lKitEJrO5ByIkh5++t6fOr+GksdBTIGrYixejzv9hGFFh+9ANdncpsHKpJCWX1KFmwax+I5oDMdbhhj2uxe+PIZ2BHCFvGWVr4ceyXyYATMo4DP3nZqoN3RLK2maJHiBW4HMqUMGun66tbeRvzIslMyxtzjV9s4sOV6IF8P2GJUmoywt1wrSYqvlcGdjrB2wdwZaxfs7dcSPvuVCg/vraJL2ts2NWTyZLTeJG/NKrE3pc82fnLWOapkyRZTYvFyCa0uAT8POo1EmcIXT1IfTye89NqIN7+kxx9/LgAVgZAYIRhqDyWEnRxGKYM40vVY0uQlH1xlPRKZDs9qZ2SpUEzaGS/l82eMcE7H+hgYxYwD+zrsfbEYb5yAy6ui1imJjkl0hHfghGZlRbO8mtJsWHuQMlDHzoeg9HWx/uM4yNd2uTh/l5IskQVgRtnb5BZhvlFpCeBSGTw3YkxK55hI43R1Bu60cEykLnZjk9Y9Cf2YIyclH/5sg/lOYPe7lnbQuxIUOzaMxQtrdHc5GF+HvcdvI4meErOPDLopBZtmpOve7p9jH+32JxvrKd/z5i737w05cl6CiAGFRjIQsrSJlD0HGahzG7N8wZX5PM9muvNQZnNhn2dgzmRLtjLb72Wz312AKAsWLyRwqaJwTPIWhGrWHFJRAmSWCZ+eUOzZJpmdFXieDPCk71q9KDkn44vXKO+M/4FxxlrL4GYd5i5p7lyLr+31Uyp7PQbyfEb2+PM0HxqZsbgnS7pbpnjOFgyCmGGq+d2PNfnq41Xb2yY9q72ltF07opi/kr/XbGUZ/6xjTF4+ZmOr6VgGs3Atij3ey+Wz5TJa226mM0cl1STSQyUet98U8YPvavPzvxswTKTNQGlJ4lwVW6NNCTBFWa19Y6IYYpnpcOkkSnZRGtddb8BI4wJMkV8ARpDLFC1KDRDGgdpkeBAF4Y04cGYE5AWwn4ctHMY8KZEI4tjuAuHNTCqkViw1JEFQCP+RE/E8t/KFsNbuWQvq0ddlaVKwt8olSyZLdCnINGsYXDnmziagjgSXspAlnptxnQeXMsEPEr78qM+nvlpjGPlQ9XLtnbO3XDvUZ01JbEmWlAFdLl8YP7Dlwqa8U3wE3GBUVmU4WiueaonUVqpkQE8Sj2ot4e2397n7q32+8KiytiEShCQWHn1KlY/Gat+yXLG7zYxqcnsv1aU4ZjbSjtMWonidSZMM6Nn5NXmwWT5mmcQbbXwYl78Fhs34IVxzS4Shl6Ystgx44NWrhnRomKi7N0U5ABKl5eqiF86odCkNeFlXnmTgzT6MNGuDSidh1IhMcUFmNhdPlLR3DmRdYu4S0EvD3HPtLe2U2NWu4bP31zhwrmKlibAlsSLT3oLSBCmzBtz5ypN9nhFAPw/jZCfJYP20Uk34GqkylvgZrxeXUiF1itQe8dDj8k0xb35Fl4f3BbQil37VVo9HKLJ9IEbBPb5WW42tyk6Pw4dyLW0Fm2dSxSV8hKshz4F+EXAzakCw3uPzHTv390dHmkAUJXR7CZVqipftIFYLNbjlppgWVBz0/GSU/mR5aSsAPnbPfm5dYJh1gszRmRtlMAvBSHAp88HsGcjNGLjdzgSlxwzcvpegSfmjz1V5/ycbdmsWNc7eFNp7xBpcC3RGTkwJ5M/D3uNTeEf1d8bka1vZshnZWmt0KtHS+uJKauLURyrND72tx+GzPu//lEecFCDXCIZConQ2SMKBu9zalqPF6QzATX5zX850OAXQhQWyzH5NOKni/PJMa2fnPc+dGBidnyIuiq3s3UKJBEpButb2+WCoGcaaONF4AguSMNQIoV3tsdtSOR8KWT4ZxQEY0ZhjgeXIFUsZ2KaU7DGjj7kUMDmzF5st2bkb446JzMCtxuXJ6J71yu09YzV4jB/EHJ6XfOqeOt2uD1W1lr3zmu+SsyOKBE/+uVj7PAP51+Nwk6O7LAcyLV4UIWmd1XuUgC4zoEu0tFpcSo84TmnUE972qh533Ffl8DmXVLBhPakQ9C287HvUDtymALvJQe3cElzyJzvXuZOSpe4teysHUlM638aQB5pmpDq1ID4ofqZsWpQBbvL/FT68McYlw7LdKwyDSJMkhjQ1eLWqT5ooqqEB4TYokoIkFaTCRrw6LwS6SMCZvyEzAub1AkxZel0uipclNs/GgakSi2cTTZWygx+Lwewl/V3abkOWZImUzjFxTO55CcNYc/dDdb70RNUOB5e+BfgYe+cOjhAjwbAge/+j6ecM4eLrIXuMlUaAXrpr7YqKMifFbUVidbcuZIqWpEKiUokWinjo8bobIl730j6nPu8z1NLZGtJu74jHQIDUpW2rhMhtEONK+FR+ljNHxV0rghz4CFGQvWNkI1zgKUoYcKw/jglTYu1CrmRfW0sIRR9rAew0NXYacmqIYkD6KC/Eq07sXB1GwzvqNfWPMAlxIokTiYglIrU5/jyIuBjAxxkcRpedTGdJMzL3W5R0d7HsF/OnC2BnQC/KRsvOiZRr9ba1CdPS8wQpbaeODBLufTTgV/5wgtR4hXMiFUJIuw+QKNLyowxeArlkXfb+BpKYJUoqOyijKfuyXNFkU6+chBSFo5Jrcmm9caE9kkQTBCk/9b1tDpz2uPcRiQ6Eg6z9ALFW9Cm7EyaPB1CiqFN1H6Twwt1qm71ft9pmOly4lL2mGCUh3apuyqSQY6Mct5W6ny6yAhZ5ggLcUWKIE4gTg+f5TE8177j6yp2r6nu/vdaV+vSRWjX+QU8OQRRbRZQ/X9aNkzHXetV/o2ls122d2X5lJyILFlWhqYvKwLIFWErklALKvKCq7JrkUiUdkSpenrUsei1PLwt+5cMT3P9E3W7KIwNXEuvjSUFVQihxm1yZtbXbI3dXeVkqMS4PI8pq3qUaa5gu6fritShd9KMlAeUgPJNveT6hLPXK3zMwO5MQeoaHnw5Y7cuxpUbmU8SLikOng816ttw3siyJEZ2cd+3jLtziui7Vd6/NB6z3/TyopFjdtLbMHcXQiwytHiSiwoHjC9/zxfuePeDt2TqPEIIkTWm1YX5xiiiq5Mtspo0zBl/PwilkyqgtWN7KIntd9pBHPPCRbTFGpYkc19wZi5fdk9JOYHm2Uma+d5I/T4OUD396gr/6Sh1TUSCURafwEFKO9FsW/Y3P0zGfS5ZMm6x7ztcESmbsdRkQORjGnJVyh4928wONY25jdFGjIiRSK1LhIfspb391n+eO+rzvAx5RmBQAFwKjfYa47irtTnDqsjUU9eHZ5zC47KZjv4zwjWNt42SGcaydSRTL7CZP4ZuSB44oiNIRN4UPvo5syFe8YvJxqg2tvuD4MmjPrl5GG7zHjkTUKvDsUcP8BcMrromI4jpxYg/mCIBHTtRoMDCyTJeTOmWAjwE7B/jYCN6RPWAyQAsH8LE9Y4p7WgJ6GdwpMq85SfnCIyF/+Pk6g9RNwReZNeiylsKMaO91U/NloMPoRc3o49djP+OCu8x7XpPRxKwpoTWylNmUJWdF2D5EGzdptNSk2iP0Nd/7pi4PPhXwhSek07wy04ho4zHUtkSaDOQj4LaMTmYjOwArJzlGQJ41PWSuSq6zHVbL5CdwyR/3MyNYKnzxsooYJwUprMIMUokfJPzjN1ygF/kcPVejEmi8//tDO1BKstqOCdKIbrvC9g0evlec4GJK6UV8yhGbp3xB2N8r24BiBNgZq5sSg4/qcCt7xpg7f1yHxcvsLdMiwPRiekP4pT+Y4OiZEOMVuyWPaO9MIo0AewzQrAPmHMJjof/zCPKyTZgze0mPF8VXZT2+tjZFS1dxKMssrhCpRggPGWku2Rrz77+vxYP/NqQzcB9Gy/x9pXgMMoTJzBYprEMjAe1AbcgdFuUCSiMp2tBEpsONqxEfA3qZJEqlAuM9vWXyJMNZ+WgKKwt9CfWK4oYrFa+5uc5k09CP7d/1rtq6FakUvW6HQWeBwSCg0xc0aoYgu9DFOKDXgj5j6xE2H5mRN8rcYkyOZEAflSi6lOTROZOPgjtzSkq+d7Y7r/O8PS8mSeG3PtHgif0V63nLjLkL58QXo7JEiVHWFmWwjzG3Sw1SHrq5Hl+vYfIx56RogCh7vLaYaU21obAMngedWlqQpxIt3D11UkVrbrwy5ke+vcV/+dgkUepOLuRRYYpiqDMt7mRKCeRIG+AqUapUES7po0tsLkHozA93zJ9ZhSWyMOOrn5MjeRzgWD/HXnbxjBGtUoJ6VRL6HsdOz7Jz+ySNRp00TfH+5fe9hXq9zjPPPMtdd9/BRFPZpAoFaC/mbbMuqMsOykWAvY7mHgH4iEQZ3Z+xYO+0pMtLsmTk7gLLSsoXHwr54CcatPq+9QCd541r0rXOSZG1LBcMlXV4MZptnRmEI4uoKIK2cUCPsfYavI8A3ZSclTJrZ1NhjQN/WapYGzGVCmm0rVdJFM2K5vvf0eOxZ0Pu/pqCWkJeOOLW+0RLBrkcKECeyxWR2ZbW887UixEiz3QaXbB1Jl9scZ1xIC3FLoYR8sgJ04xLYJH/fAZyWTpWaapZ7WiGEVx6za3svPxq+v0uXrUaUKkE1Os+s5OKybrdn933St00GSAvxt6M6e6SfroYsEej/iJLWQb2eiC3j+kav9tTqf2dUpWglAnSS9h/3OO/f7zJ4aXAtsGLkvZ2FYO+m3WSOxvj0mRcnoxIk7FuprVqZFSllBI7OcjHdHfhKpTKUsc98hLY80Iso/NNZUUmVdzkVRkb9kwn/It3djg+73HojMB4ZYElQPqkDuSMgTyjVOUuBqvXM4C795qvZA784/q7BPQRu3CMnbMKguLRuGSry35mi48xJCkMIo0xCT2ZMowlSB9tfLwwsHvWNGuGTTMp1aqyb6DkTYsSqMvsDWbsyjNrfzbPUpblyijIy6wtRpyTYtPRAszaJnrWJHO0qxK00kTKhCBMmG8JfukDTT715RrGV0U6/nnYu6j7XpuSH1/BxpM6ZUYvWGAU8COsPQb27Gtra1LKOjwDtMkznCbT4Y7Bpcieu+BTaJJU40vrqrSGkp/8dcX5VQFhmW4FBi9n8nGQZ+xdsDZ2/54y0IXI65okeXxaSBecxTwG9AzQOauXj2d+fTmMpfbvaG37MuPEMBga0iSi209JnDfuVQJB4Ifzs5PJXdddHrxhtdVjGAckWpQsmzEA50xekiEUV2729YyxCyYffT4eVAoxztwlx0RoZJaxzABeylRKmSJV4p7bWpMIzWceqPPFR2qu1kTlwB5l72LX4PK8wbJeXFMWW9LilL43ztw5+Me1yJhcWTM3xPnJRhdVeuVKQ5l1k+O20dMCIVzixzkrUpZqVqREuIrD0DO8/iUD3vKyHn9yhyJKhE3b5ixu/93ECAa6BHIh8Mq0KnE7olgEFgB371eUk0DkQ4GMcDIGx+iZHBEUrkqpRGYN5vJSkeKgphq6/YRKfZJWj7sqYTC/2uohN2y+jH3P/dXxhdbKfwubdZq1tt0UdSShkhUzFV02dgNSPQLQvEYkqxlRuvRzBSuPdONkrDxSOFW2AB3oSz8jS+Aud8QrB26lEhKh+fQ9Vd73wSanF30IlGXuPLC0DdYjWcvxkoHy6jUy+0SMALiwT8UIqMsEnj8bA/p6uKfUE1nsa1n44DmrZxOwdDk5JzG6VKOiFdrYLvxUe2jtEQ8V22c0P/l9Ld766i6+SCBNwLi7jsEkGK1JDAw0DLUg1hBrQWIgyXeFc3trmuK5NtZKT015g1n3vfKenIY1X7erkCHNEjmm+PfKv6s1pCkk7h4ncKGdsOOSOfxK77998q67j193zeV2j54n97tM3rBKQ1So1+wSg7GD0gsW12t9b7dt9Hh9yahUGd15K8vSjTon2ulwvY4GT8cmO40ydxZQZo++n3JsUfLBv6xz4HAIDZW7JXliR8pcmuR9lozVpo8zd+meZXHJj89oQDleQyFEBmdRViZjSkVgh9GX2L3kosg80zeavpfCglwKk3vjwgFeiEKHS5F15XvEQ8OVlyR879s6PLI34PiCLGlN9z/nmiRS5BaicQFnRqO5HHG7sWWrTsba2V26ZdDWlY8ey1x7OyWUVRiWO/ShJGNKfJHJOyFgy4zkmu2CK7fYDR3AbUJ1y43X4wdVTh7zOHd8nppJXS9eMZwx+wfXuCZjmcrRr41JkvV8bwGiDOay7y10/nw9cBeBZooSlr09L2W5I/jNP2lyz5PVokowB3YhTQLJ2BjkoktHlcE8FvyUGXqNVbhWpXzdW7m7fqSq0JTlSwYeYf3lTKaIEvhLmU4pDFoYhLbWZWYbCqHsZSQ0aU/z6huH/Kv3tPmPfyBZ6bv3Id1Ko3GFV4oEwUAUDkpWkGWkHb5TAN4eFCOcd166mK27Yr8nHaCFHHVSMgrIAF/IFVOSJqXjVvradN1n68bdzG26gVqvXwB8x/ZNzMxuvDtavuNXqtvTn4yGkV3OTOkSKZ25YucALrKTVtk5KddLjO+lWA4wNeP2oGXxsk1YBnfqZEv23GYuB8Lwu59s8IFPNOiMZCsL3W1n9xXOSbmoqhxIj2cvR5i6HEyWeFiU93/5BpA+3l1fdlFMCfBlNi/mpwg3kF7kz0XJWRFa2mNs3LLv5hcKYadAkRoafswPvqPD+SXFf/2TJv0RR0U4kBuM9kiy10Lk5bQ4/zsDvHKMrDKXRRZ5o8wXNyKrMjS5Lh8BNKOP4354eenLjlMcG2IT8sDTF37l299x2d2nz8yTvUVm5zbxgQ/+X70Hnz12rJ90adaHJT065k2Lok7blq6y9vvZUB5VzkaWgWtG9LQaY+lRcK9X+qpd4ict7ECZgKd57ojPn91dox27yZiUgkqpLMBx0iS/m/W1d/lA8zwHv/w6X+nGtPfzgdxp8/IIiVx/M7qXZXERlJqS864fOeqV56Mmsq8pq8/d3WhFEisanuE7X9/lqsuGyBEtnj2mYGxtR2xgYCDSEGmRa/LY6fDECFIDiXb6O7WvR7R0rqkLfZ7r7ZLuHtHeZv17ltld7Rua0zEbZ44e+4+/+hO97ds2FwwOcPW170H5FU4fuY/2uceYbI7pyCzLVJYj+ckcL6ha65iMZi8zZh+XJiUmL4PcWYOynKXMnJMsoeOnPH3U50d+eYq9h0KMLwtZkmlvx975nBNZtgYvkpp/HpkyktgRlF4V1P4NyZVxRiqDfI1daGugpXMvymwuXUZTCgt2Yaytpo20LG7shCyhSywuDCIyXH9pzG//5Co/+J8Eew+74CTz+Fy9DBjImBzWZXNVkii5D46TLO44ZqRgshgnmzmeqYESm6+xDsX6x2/TpOZtr34Rb3vzy+h2B/zsT/zqKMCvuGQDQVBDdJuc7TteKf1jwn2I0aL0ca1tg861afrRYiohCmCPZjAzUJc0t7g4uJVIHLg1HSP5nU/WeXJfSKrGkjmu3gQknqCYUkUhQ9Y6J4XFWdzHxkKMgN0dp/GT8DwIN2PALiPclPs0R75eZnazRrLIPLi0QDfOF0+drNRCOkJyelwbUjSeMNx41ZB//rYuP/VffDqJAJ9s4GCux+0/UoA8iwvAjGQzvXLxWHYhlIq1XM+ErS13x89o14Ffliqlw5IBf400FBDFhna/xlBvZqB7+bdygFcrEi/wDm+ck0filren37f7mRc5/xJjO0CUEz1lIJd1eBnEZQYXJcbOniupS6zu5Mk4uEWKzO4qxfNTeho++Kk6H/9inWEGZllmb1s5J0XJFixNqFo3a5mxy9jXsmMwmswRObjXIvvryZNx9s7qqdfqcCeHRxg90+D50CDnnEgHeGEyLa5tsGmkTZYYaQNQHJunhkAY3vm6HvtOeHzwkw26MfaA6YyhyctXMpAXAaQDsAuCkSCxw4bycYC6YHJTOt6UGDtvdyu5LVmeqQz07NAKIEk0MmgQi9oRT/mHS7DO3y6Nie089fh9dy22pj7SGm5lGBcJnFGGKwCaNyuUA8QSI6sMrCOvyzbgaKtZ4YXrMRswc0p0Kdi0dSadCD7wV3X+0weaXFjKMpTlwDK7iyKpI8BjvEOnfLGWgssS26ybsh9j7ZHviecHd3bGyoVW+ddGXgrH6OWKwjF/PJslTun72ddcq5sZ0eXWHy/8co8kVWya0fy772vxz97WoREm1mw2aUmPJ/a1SUDbjprIwNA4TW4gMcJpcEhMps0zb9xtrmVGffBcp+d+ePFzpvS9/DNTPBdCc8NVG7lqz9RH7v3a1+669JKtaxkcoD9sgKx9rlGVbzVK3pBqW9dACQBluTFuB47LkZHnJbCL0kUhXBp+NIuZuq9pJ0fKgM9meafIiuGvPlfjvR9oMr/i2yE3clx3K0Yylln2tFRzMu55r+99ixHwji+T9kvi6xH212Xz8hSDslQBxrR4aUims+u0EXYbbVEEpiJnccvs1jbEPRoETqoYY2cZDg2bp1L+3fe3WWorPvJZCZWMwcVaJscj1cUYiWziT7YSKeeyKFHUqeQWVeZ3Z//cmDSxP571e46OycvqouyGaQFRJJ7cOVf93Ep79JjK8otXv+bV7D/wkfufOzX/aELPLi5Z00MpgFxj8a1JzKz/PTFWayLXgLvklohxlyUDt0vshJrDpz3++LN1zl0ICnCPANs2MgjH2oVzMloKOxJcUoozSvfRF46dx/T3N6hKcjA/7/dL3rcuy5LyhZA/FlnNERelNDDINitnfZxiNNPpZhwa46GNIokkm2dT3vMtXfZsjyBKS85K6blx7O462yNdMHlicPeCrXXO4GXWFiOOyRomH8nijhKAEGCMIaimbNl4/tGPf+7P73/F7a8dOY7e+IG90LoSEAw7R9g602eiXoCzCAzL7sgYezMWYK5h7uzfGs9Y6hHZMi5JZClTqQLNkbMeP/fbk3z5sQpUZAFuWQzvyWpbs8Ay768URTJnPf29ZgahLEjnYpWEmUYZuTDGf16s75JkV0V5L5xyg3dhDWa/Y0r62+T+t7xIUZYo1arYJJG0G0Lhzpk22HHL9q8JIB0kvPbFA37xR1r87G9PcPRcYBkCx+DZh82oF4VBEmlL4lllocnSky5paH1ykTO5cfMKbbBpRrp+smRQ9lohsJGh290BmKoLbrxmgjffvos0NfyHMTyvAfh73vFmpFTRow98CobP5Q29o1WABQOP2oSjKXqZsfOIY6IRLkspxgF+UXC7UliZoHzN8Qse/+G/T/Dxu2tEIvO7xGwn1QAALXFJREFUxzW3WhtYiqKRYf0mjJKeXgecOYDLTsmY9r7orfzNMfrOg0nKgC+9zpI/uaMyWidOBvpSZrOQJRnwHdhd8scCXxZSxSWDMsmCNlQ8w7u+qUeq4Wd/a5ITC8IhphR4rvksksRdBOVOH+2IphRy2qY4t2NydpCE+07msGRAl0BKAfKsWCtNDRMTW9l56VujJEnWHPY1AN+xdRbp1f4tN8xdvTKfvHrQHxInvr361GgQWdR9l52TsuetR1P1eTA6Du7UyZUUkVmDJea2MiXG8zQnFjx+6r9O8Ikv1Iik23qtLElGPG+KNrQRaXKRqsHSZ8krBUt6ez3XZESelK+E/4lbeZRyWZLk3xvLfmYMvt5k2gzYlAAvXKuaBZIkaw63rpjClhfZElRfpXznG/p4Cn76v05yYiEoJgCtYfIxkEMxhXPkSs9WKjddq7Ry5d39Tp9TzoK6v6Gwq1dnoOlTRzV3fmVu49Z/u7jUXXMs5fgXlF9nuPRn7Y1zyYEwbKdJmpCm2QkdrewbrdkugsZMbowwfslpGWfurFF4LbizADNBepqzy5J/91sTfOLuMrizhI4cAfeIa8JYMicr5c3jCneOZAH4MoDLrC0ZA/YIps3YhfCNInptgDlen1J8TTgHoQzewlnQIyAvDwzKnBQ58jrv0jflCkTpsp5un5sU3vlNff7vH2mxeTp2zorT4OtqclswlhjrsGTZztQUrspoplKMZDjLlYjaCFe5WFQqghvQ6gm0n6YD4R/45d//XHtutrHm0HrrHW8hDMdOD37kdz55xS2bm0s3vujSlGY9RklbRitkobfHf280k5mxYRncRTInc0gso5eALXSJuROkSkk9+P1PN/j4nTUiJV3jwnh3zlppsraJ4XkyliWArjceYoTN15UwxZXx/xHfI1Vy5Xkiox09xWZV5SBTG5Ev6SPZzux7+cVgcl88K9giy3jqrJYxO5kGYewe3yI1eGje9cYeB455/MoHm5ah1Xqa3JQ+lyDJPtVFmDz7zNJlS8cTPNnFrYVwv263hKyFcOs1Pq+5bfLpo53Oj3STteC2/+46t3Dmn7D3wFT6ihdfbWYmQnsleCmBZ7e4DrwE3837K2pLRh0WsS5zXxzcGYuPMLdIkEojPLjr/ur/296Xx9lR1fl+zzlVdfe+3be70+kk3R2ykhCQAEE2QWRXBJVFHZ3xMzM6buO4zNMnvvHJMG/c5j1hHEfHeTIqvvccVJQBxQHcAGVHENmykgWSdJLebnffparOOe+PU+fUqbq3Ox2SEGDmfD73U7e2e+vW/Z5ffX87brwzj6aJCLSoCU3au22rid27PZFbafFwuxC/DVo7JkX/JfbNJxag9aIlTHYu4I4ObGdZaUmEiEAvIj+4TEl/FRduxajYNnITlBXHqMSlmSm41NKdGsuKsZcLAo9LvPW8Gs45tQ7ChWUTtyS54LCtK7NJ8lBbTMwrDhrTUjwUQMCBRgg0Q8APCUKu7uvkNAXNHCNX9nn8U+95fdv721aCA8DZZ52KMGzc+PRvn17hkdFCMd9AxlVSFUD8KNNSBbpEblJ5awtuFklpC9xKcmvprdzw1OWgDvDjX+fwiX8o4+lnM1HCMJvhFVET2iq9jb0bKfe8Jb1nCrKyFU69w1ZE00Ceq7UwoVCmzYBI2cBtTm5LeKmaP0mirStJO7mW2oaHW6ZEIlVPJhIpi0QoCU6sqaesLIp0MxJizRIfX/rIBD5Ogdt+kwdYCFNj2Xg85RwleaxUSmuXluvawRNGk0MAcLhKvhAQWMg6p5euWHtjIZ+b8R7TmXZUevol6vd/edXK/pElC/ZgsG8MC3vH0ds5iXy2AdcJlQ3bPNZl/AhP2bxtcBsK0g7cVowJdRS4b7knh09+pQNPb43A3daRE4ObEhVCkSwBoSV4KtYEM9ONGMDJ+JN21pIWQBOD2VnQPct2mVpNoD6mIYnyy2kFM+HFbJXi7ZcqGpFHfNxIcqmlOIPwGVYNhvjCh6q4+DU1lU7DeUqS8zaSXLaV5MYWjuRTCpFOEQigxgnGfWBflWP3aIjt+wSe3SUxf2jFyK13PfnlwcEFM97qGSU4APQOrESjNobfPE0wVq0BIJhXFlg95AMuQRiyaKaR2FwILQ01XbHd9aKFlsTgFgnOTSJwf+ofO/DklmwM7gSgHdixJoTCKlrf6tRJS2/bNT8T2GFtT0vuhIRP37wD4OEtpkFLWpt1E5tivQdJUhipJXDMw4klxRXQVY6WAAGBCsSCoJEVRW1Tzkpbx0ppvgGwZnGAz36wCimBn/w6D2B/kpxFkjwagpgMe50vIRPKvTQxNvUAoHIapx09hr7OEFwADuvCicctRke5a9Z7OyvAwQaatWD8fVvHjv7+3/zT84VQZtFVauJT79yHc18lEHIHIdcmJxizYYsUt504M0ruCNxUgfu2e3O46isdeMqW3LYjJyW9SQTodrVN7BonxlICtFCShAKZArv+jfEypQ1FSE+u7h/iEbtLSOM0rmyiLiNu0q52YSKunEikXfpCEBCqSksQK0FClYdTyqaISlMRSZXFQgAqmRkglMUKpQ8cuzjAFz5UhZDAT+/NJc2F7QK0EJsQKdR8oBEtodat0sKIERlJdoELT5rAp98+hc4iRcgbuHfTiumOPH/fQP+C5gsG+M7dNdHdddxDK1Z2Vgm5oVCiAryexcatFMcsFAi5C5igKwFdxSipZGopHicyqBBY3kJNKOOQjODf78/i43+vaUn72BJbcmuToBdJbB0K27b8QyJ2PWn7bokYRDr+hCQnQALwSG60R2pbioWkDoxdmOZxTVLKprT4uDVRYi7eJl4l8V5zcFVaAhQgUT0VCCUsNLhBASIYKEVLD1X4wOrFAf7uL6qQkuDO+7LgaAdykkCwBEWgAS6iCsQyzqiiRFc5kMgSIOcKHN1fgkuLqNUk8nmOi865vEqzSx+SfERglkFn21koLkIm072vPo3L//TS44LlfT5OWkYh/B5s3NGN6nQGfsDAeczvTI6cjlomIgHyhJ3b5t1UgfsXD2fwsWs78PS2duB20OLQoSR26KSoiY4taZHkaHXNt0ht6z1agJ9CNVFToa1yOUeekrCEIElbjGvfXocNZHO3E/zczgSKeXbShp6wtCRiVEhqmbSVGwtLk2L1UIBrPzqB165rgAnbNj6TnVxJ5kAq76S0bpT2SzhUIusA5ZzAyvkMjHfh4ad78OSWEqr8tQEFu7y30r1vXu/CWe/rrADvLDE8u3Ub1q4Zev7s01ZtOXZlDxb2uugoMDR89QpDZpQTGFDYDp/00nbiKJAzxiEdgjsfzOBD/7MTG7Zl2wdPURvcsVKpExjaURPdsc2OUU8C2w4LtsFtSe8klmPsprj6gYJ6boAnMbi1YhmBFon4lNjqoGulxDUOSUp6a5BTtFMy404SekkjJTNyAJn3UbCWT7FiIMBX/ssEzjm5AcZTSqaw1wUABXKtdHIZB1Lp/4ERVTU266oS7tVpiS3PA7vGuuEU1mzJdyx5fs/wDhDivnCAAwBjDBueemhbISves27t0ShkJXJZwGHCMlUBOnjGKJhWMjEhMahJws7N4XgK3D9/KIuPfKkTG7ZH6WbtIgPTSiWx7d2qpJjpJ09S0YJIKZZISeyU0pgGcIvJsB2oo3QT2WbXTCA2y1lMLrFyqelN/D1SpCR6Gylu6qekgrBMzHiqF6eM7OQxuLUEZ0Z6S6nt5BbIFwW47mMTOPvkBmgoVLESI8nTOZ6Rt1NEkjyymph7QeI7yQVQbwhMVH1UepdgdNx/zy/vun8bIQz7G87+DhgaHEC9XkM2m9vFhXPPju0bX5PzppD1JBwnBnKiHEQUy20SGqzsHEY0JQngZDi2jzDc97scrv7nEjZsmwXcNAluWEqlNgkm08/aZ+loUNtloWc1FSI+IJbmmpakJDqS56ttcxDnmmdbQEVU0SBtK0eCU0fn6W0k2q77a6asKVrCx/ZwqawpkkafKQy4o6RPdV5UotlWHAlUXD2PGDCFwu7KwQBf/tgEPvN1gQd+l8X2EQCevn5ipcCppSAUgQRcCbhSu+yj/FFBVAk2X2K6FqKn0onVq1bec9K6k3c1Gg3kcrn93tr9SnAAyOXyeOaphzd1lgtfPuH4ZSgXashnA3guh5PInLc9la10RBekZ0SBe8PzDq75ahl/8XdlrJ8J3HR2cDuQET2Jw2ATQIdlFkR70Bvq0QbcNr1pH3jVBuixMSkB/rbY1gql1i/Ttm17iTY8HJZk13ZyWBMBKfu4TVNEsmKtqY4lLAkecW+Z4OJKenNTNYuZuHLpE6wcCPAPHx/Hpz84geULfaCpvZzprCCu7OMCCGTSNs6Fku5+CEw1JfaO+1gwuByZXP7L9z/w0Ka5gBuYgwTXY3BwEbxsx0OFTPXmkrf9TVPjW8AYU236WtqIaLMfj9eNQhnAyXJs2ungmq+XcdOdeTQEixRKy7ZN04plEty2vVuDOu4RFNu8k2loKctJBOBEAFXKehIDlCSBnZgRKRi31Tb3M+TMxyfS2WwgG5MJWqS5ktowkj0ZcRiBm+ntKgNHCApKAVVdS+V3qpmu7juhAip1CLEJENHNAzcTigYcfV0C77yohowr8ddfLWPzzgyQCZNhtpH7klMHTaH1KIKQAEwAAVc/qtYMcdzqpVi6dPnNg4OLHxodm8Rcx5wkOAAUSv3gzX3b5g+++sPlcuHWbDYDRjlcxuE4PFkjMCrCQ+16gVT1p3Q8js07XVz9T2Xc9PM8GoQBWTtRwZbYs4M7XbA+7cQxobpAkoLYkrplSUxpg3bWE9Lm1aJ9towD0zoTVhOpzo8lccqdj7Q1Je3VTHswrXgWkeTjhqNDx6MkM4BkG0muJbyW6JxH9Q8bDBkBXP66Oj7zviqWLGxanDyMOblQnDyUQF0QNLnyXgacwOcEAZfI5vIodHTdetF5p3x4156JbUsWL5jzvZwzwAEgWxzCvp33bS/1nPpEttAPxppwnLiTWdzRTLfvC0FpEOVQBnCyAlv3uipZ4c4CGrAqT1ll1dp5KVslt2w1CabMgjbfTuZbJi0nSE2AFh+OdUzCeZMGPbEAP2ckp2lHympi77cdPlaYbItHE9Y2ILlsAX6SwiSLBaXS3KKenHGwVgxyZZGxKItURYWyErjyvBquft8EhuYFKmLKADsApA+IAJJz+AKoCYI6J/C5culPNziWDM3HJeef9MSP73hw+6rliw5IWMyZoujh5RbBzQ99oWvqmSVTZPitPByJWmdzuE4QdxNmofFMMhYihMCDj2fwtR8W8f2fFeATFhWjny1wanZwG4lNk0CPubZMJBC3s3fHwLWAbm1LHIPW9y0jzW3mOBJx4GSG/cSiJ5ZSmlBS9Q4pTN9KG+RRrR/jKNIOH/0eUPsFKKgUUTkItQ4hQKlSSAVE3OOHApKrcs5EqiVAIImADAHX4bjynBoggK/eVMCj67NoCj2DtTtfQMJDQ6qa7YwACAUW9HZj+bLFN55/1nFfWL/p+QO+rwckwQGgXFmM+t4fTnRWhv4klMVfE+KAsRCe68N1fWS8JlzHh8N8OCyA6wRoQOJbtxXwpo9XcOPPCvAZU0ZOQ0lcJJ04tvRuBXfC1m3CXC2TIE0BOs29UyCPJTBpoSNqGW+3pbo9ERIYlzioYSuQ9oaklcWSyEi9h0VnrInTToprLi/aUpmkpLclubGhG6nOLBs5Q8idSPF0EAYOHE7x1nPquOXvRvGuN0yhQAKAB4Dw1Ys3gbAOyX3UuUSdAy6j6C5nf71yxeI/ue76OyeOXj50wPfygCU4AHQPXIax4Ydr/Uve4k88901knFEU8k04ThMQqhgPJQKESUxxgm/fWsBffb0D45Nu3EKkrRIZO3C0WS42BSbLrDESN5ZtST+DsnvbIE7HdqctJjbXbqEcNuDnIp1fgATXXvoUpmPzn1mPiudEBxnQklRsCpCgLcSS5iYIiyDSQJVQSEp7VThf7RAmBEtLcoDGBTRBEGUxqzQ0olLjTB2XSKJTytFTEvjc+6tgVOKGW4qY9gEwAUJCOA4FDwIIh2Pa9bC0v4IP/+nFPqWk9raLL3ohUH1hAAeAYtdyQIoHGT/pVDK9Jbdnoo6Nuym2P+dhxeIAa5YEGJlmuOWuHD73Lxa4bQUyHR1oWrohzsiJQG5L7gS4kYw1SXgnaVpCS0M7bMtJOkWtZQJYx8C8JwngtyQ67E/vtIecYZtNV7TFhNiHRLH41uQw0pvEYNWWEmJ9jA70M9nv2hMKGEsHBYniT5RdnEbmDw1yQqmKBhQCkqj+m0SqNieqQlWssCKS+FJyVAoh/ubPqsi6Ej++K4+RKYpjlgZYPhRix3Mu1u/MYbTRjfPPXls//tglDzJ6wETj4AHuemVIXv1vxd6L5Ja9v/3ox67bmr1vYxcmJwUW907hHRdN4pGnXPz0/hya3I2USRbREZuKxDxbzXIdKKUrULVLFpYm07pdDROjXCLm4xqANm0x6ISScAbYCclNEsfYp6lXjLh23Hw2vp6w/kWS2uwg1v4261qym/hwYiU7EJmYIDF4CVjiPEPXVdk1yyZvohOhA680yPU1U1AR1SAnBIQIRNU+IWUE8KgDs6RCmQ8lAQMBAqBS4Pjs+ydxxgkBHn7awR9e0MDCboLxqoMHnqri3x5Z3njvlWdc5zjOX1XKhRcM8Bc+NQAQ1iG2bP7R1Y9vW/7F58ZO9P1mJ4ASukrAwm6OfRMUzYZVeJ56UA2gdG/4qDAPVY81J4rnzpi4bgmH2tYSq989SUrumGpI48W0waqlehrkaSltTxAbyLYSak8M624YuLen4MkTZPuDDOjsWZB26RvQyxTorVlgl1c2ycmwwJ46P2EmFKSFl2u+bQdnCZ0cYVtYoqUyGdovF1w4CLmLkLvgnCGbFegpC+zcyzBSdcB5GQy9OP/Uo/23ndv7xTt+ccvVlXJh1mjB/Y0XLMH1+MZt8/18sfz5U9c+6y/tbl7T3VmlV5zD8boTG7j9gYxl/vMshVLnTpIYuBHwGGLQsghQZklbkxaSLwk7t3Km7J0EJFM828ZiO/4tET8Z2uB2pk37HXJ/69rYoC0pxOYl0rQBiZXMqNqrlsNGusO0fxcy8sjrTgzRe+0YMuHc1jGqe4SqWi+imiqc0KhQpoiU7ihFg0gISkClssgwrdgCKpGZCzy/h+Hbt1WwcaeLN5+SxYqBslh19NA155/e/6XqxLT/voPE50ED/PMfuwx33HFHnS5deXNtsvjXtHYXVg968H0PXOgUMxdgkdS2OizELnbZQicIYpu2jntI2LitY7SENvZu66Vq2MXcO23vtkE5U9BVi0u+Dd9OflCbg2YaEWUgLZzbWk9RFJX9avW1J1pSW1k/BLHSifS6uub4XHW9MT+XiVwFBXhi7qdAVIIZiLqiSXBoCqdoCiFQ7QwlhSACVFBISkEZMb8AIlTFo1wPv9/SCS+UGHjHSbImBm5+6PeN+hlnXnGw8Dx4gAPAsiWDCOmCjRmZ/QAaY1/LkB/T3WPAvqkMwDIAzQLUBaEMLlEJOsaWjaSzJcZI0pyXdOCkXfGy1SQ4g/Rux9VbgB1dhC6mmd6u12bk17O43VvGjJTHctggTl9LWFpSEyCJXM21LX6OpFkR8aERd45ojqCQVCSUUv0lQh1qKKCanPqxoDWSuPiT4uhRz6BIimtlIwgFKkWJhZ11jE4XsfakU0Rv39IPrDlm+cZnNu8+FNA8NABfsuxo1KtP+rXSuusr47/Ib99RuvbqbwW498lOwMuDOB4YJRG3lirzRvftmQULhjPDohxox7uTIEwCWLby7RZ+nurUkJLs+mJmweIM58zh5qUmg5zlOJmS3CSiKQlJDkvSR+loxOyLpHwEWqOLEn2scrdQEj8FbB3AXCzRTY71swSWhpy8aKMXEQFGdVdm5d4HgFNWNXDVO4bx/+7uw74p/pevO2vd9fc+vJGfvm7VQSAyHocE4ACQ6zgGU5PPcnT+8ebf3LNq8he/+1nJFyGcrIcMJcgQCS/yODo0LuOQ/AOT9l/biNEu3SzZsrAN705LbzLDJNDfk97fVnon3xPr+ueQgnngQ08A0mYbUkA3NEWHz8oWsCeluLpoZWHRXl/LXh6ZwZNplckZaR4exhlFUpNC/y8CPAqldoQA5xQhZ8i4BH9wQQ6XXnzWZOidu3nbczv46etWHLLbd8gArn5cCfc+Htx65qvP+uAH35W/7hv/+svK6GgVnsNUriRNWkKM4mZp9saLZtOVNLjRBtBIvdLgRwroRpIT8z32H9ICZqLZL5LHp2fMIbmPFkBI0mqSkPYWh5ak9esT/Dz6RK14aqAjqi1OLJ4O8/2kZd1coaZCIAkrTrLwPiLBoWiKbpYgqAAhDFJyhNkedPdeNNrVffZHQMdvnZzsOJSQPLQAL5V6AAB7Rqrfee+VZzhdnvzCN793V+/OfRNwGTX2bKYbwUbnaWCrGGBdPiy+QYhisY3iaJRJmVRGbeoxAy2xcBPTEUsHaDEPmuPbcZDWQfZ/yIwjTd3TNnAAicmfOCkFdmkwGAFa6xSIubZuu6OlfSx5icXLI1ZNzFZoqWQcO9EB6j+Mczr1k0IZCSQ4FWCUguvalawHmcqFe7OVs/9rGAbfcTNLDh0Yo3FQdvCZxrzuDvDA/+ZbLzn1qlNPXrWXEgKXCmSYhOdIZBwgq/PtHBUKrmkLJW2EJ2KgpsuupTm1XanKpjjpz2pnQbHXWznIwYH3kA4rxgSwFMWEwbzV1m6US0mSE8bEpdh5nPH2thGIqf/I2NIFQcgp/JChGTA0fQfNwIEfOAhCB0HAEATKq1nuWbO3q//sq8JQfNPNdB6WW3VYAA4Ala4yrr3hV9cXS6VPHH/0gtEsE3CivIaMK5F1JXLRK+NKuEyBVv0RJJHZom9i21c7ejIDnWlRLpNyOamo6mP1dmltN8eQlm2HethASmfa295GLV9jfh3dCQ1gqwNEMk4lXjc5kUgB3T4+fYFG2Oia3gRhSNH0GepNB/Wmg4bvoOkzBCFDwBlqDRdwjxrNZAqfmN5z8/WZbOmw3b/DBnAA+MyfvxE51G44bW3/h97+hp5JQgMwqiR3PkNQyBIUcgR5D3CjqkihIFFT0bh9hbmX7aQ30MKrE8piinKkrS1IbbNPaqELLVtf3GF4MGm9tpbcTciWCWFn4UOaZ1xyElgTIQZ6nAhh86O4eoI02VwAEIQM9YaLqZqLqbqDWl2BnAuChu9j/d7Fkw255EP7RskNXQPvOKz37JBy8HbjD84fEQOL6Y23/2pe+Oim/Le3btmaLWQdZD0ChykJ6ocSdV+i2qSY5opwOpG1JW3hsF9tY71nUSyRWJK2HDwNHgCtM+PFHrF1Lpak7a7TMvtJbcLTCibR1hTt+ElxbuvpqbyY8QQh+jMt6kIjb2Xc7lFCOhyEAtXpLMYmXTQDVcbaYRLZDIfDfMybv7ixearv3V+7veOmhZX6Qbnh5zL2n3d/kOPaf7wNsvOP5K7JRc+Uc/KpnrJ7iQiqTjHvIJehKBYcVDocrFlWxTPDdeyZYqhxByCkbey33W7EzrXUSmu7gj6JnjtUg54ktiXzNkn8GTq2nJKWffp9vJ1Y25PvaWIdB/0CSDIqMprJRCuTLU80TafiJ4D6GGJRLHNUQi9JPxHttpIOFXAcjowbgDl1jFQb+OGvy2jWs2j4DEFI0PQpGk2BnnlDjUr3/He+9uTSj05eOs3f+Po/OtzwO/wAB4C77vwB3nLp6+UTw4ueOfNYsr6nK/OG2vSk6zoMlbKDgfkEJ69u4MrX7cKTm31s2ZkDcRg8GrUf0S8LjOkC9i29LjXYW8Cr35PWbTS5L/lqB9AjBHDEv9GA3QB2BmtQapt5ipljYnCbbSkFRTXcUk8DXS6EMQHPCdFRrOO3G3188Lo+PL87B5fI6HiCWp0j1zFQK5YWvOuUM5fc9MTvpsTy4w4vNdHjsHJwe3zovW/H204blT+6/fHvlzp7393VPX/CcynKBYnecoBsRmKgh+Id51fBnKYq4o4YmLpxVFsvpga3+Xta6UaSb9t/bKtV5UDHTJGBL/ZoUUi1iU87X0yVLAJTHQvaQ2ovY5u2MEnIrfmb+nzKBEIe4v/8LIuNw3k0fYLRCY6xyQBBKLH0qP6JJUM9717Y8fj3f3DTsHzVq6980e7JYefg9rj4jZfh+m/egHk9Pd8tlTpcB40vNatPdXfkdyOf9SEhsGeERDbcZPH6ZAHNdNBVa+Y8MDPY7X3p9UR89wv4jbal7kDPJ5jh5AP5IDuYCpY9PPqYmIfD+Gr0dvsLpXURxrOpr00APGpepe3dlEjMr6iOfJM+wUg1wPx5HVi95tiRed2lj3HpfndvXeKKyy97AXf1hY8XFeAA8Kd/rHjX1OT4DZS5zs6tnZ+v77u1t7s8DoEG7niwDBl6yOYIskzAY6q/ZbpSVQLcFoCNAtoO7OlttuKJA8eUBk+8IXXiXFBO2qySA5wclvlOkli5VF2ElTdSK4oG5NCWEh1/ovYQXVHLOlLoKrNawaVQjn0OUCoQhA4c5uCCkxv49k8a2D3mYGFPGWe/9qy9r7/gtE8GQXBDpavrUEHogMaLDnA9iqVOhMH0vyxefgaZrlQ/99yW53o7SzV42W44zEXJkci7Eh6TYC2pZxHItYeTpMo/pL4rSVNSChTi89LWlBj8M8HNDgqxABRNvLnClKQ+KkmnZj9Tp6zZ0t9chzUBJYgp8KMDtGzlUreh0XXFqfFBSpO6RghM8SAuZJR8TMCoRDPIoFYLQfwqTliZx2VvPHvvRRe85ioh5b8cKXADRxDgAOC4BUg5en2++zXh9A557e4dt3RtGSYoZAg6swJFT8JhEnHhyFjCGWsKUhI52t9OcqeXrZSGJCVy2yEjE5xZjU1wev0F8BMyC5rnML1aKYgF8li6258VSXaLppjPIbGLn2izIbXojm4PDsBhDFICuYyPob4GLjxnAd51xXljK5at+/h0Pfx2f+/hc+LMZRxRgAMAIRVM18LvrFhx7uht24aXnnFS7ot33/WIW84C5bzSwutNoBlKcEmMQmlS0mCDXn9marm/a0gdM6vktDysaZ6rt6d9LiT1Tl/brN+T0o7jCdBGo1WBI5DamwgCO8vHQF+2pymaytgB5ibOO/oCEbUcIVDtB/3AQa3BQKhA0wco8bB4+fnBmy8qfGLd2rM3F3KFn+yvtPGLMY44wAGgkHfEzx7YeOuadX/oeflnast73K8+8cTvSNYJaT4L7B7zsWMvBSRAWZzd0xo/kqIc1gbbFJawnljH29IcaAWfiY6z1g2wJSKJaPWsJNBBiLMP+xotU6DWMdL7058XPz3iqEFC4vUI/wmaQiIQ25dgeLeMc0uNs4dElQ2YBKMhdo8QPL8ng6wH9PfmxIKhU6X0lv75Jecv+VYwvd0n5LgXD0CzjJcEwAHg3FcvxyOPPuWvWTrvO65s/Koz718hg9H/sbBzE7aMVPGNWyvIEIqMq8Ju7T+ghU9byzlJb4tn25THHkkpHYfO6txHm3O3KJ9zGW0eI7bCOZMCbFtJYIGxxduZplKJHxc/kXQGkP2kklKlqFFC4DgCjE3jl7+n2LQFuPD0IXjFvv9eKi/9PtjAjn27J/3e/pcGuIEX0Q4+l3Hi2tU4euVRdSbGN2wdP/nzp500cM2JaxfwugAmGqqffc5VsSwOS/Fv/SFzBRZBi2LZomimRhzHgdgtjuR7aSNtDtdgv1W/x9YtUhlP7eoyIxkIFQeqJW3V7X5Ly4XYUYSI34ecouGrwCkhgFymjo6Sj1LfUu4WBq+56JJ1n3/8mfENnT2L6739Rx8kCg7teMlIcHtc/MZLsfmJ7/Ola97+med27XMWDN72lyes/H2mPtZAZwlwGMXYpAAPZIJ7A3PDd8L1DCS9i2ijtMICipaW9qNcU5FU7LZ19qxX1m5PqzJs2foTn2ynjcXbtAKJxPvZvzN9lTSqc9L0GUarLijhcN0sOJuPyy46sbly9aX/q1ya9xlJf4gPv/cth+z/P5TjQB+kL+rYunMSQ/0j4CL3uYd+u/3U//vdf6e9ZX6qg33Os8MNPLI+i1JWURb9a9IcPBmLQpLdH8ySGLd+mrK03DBi2+KJcfEzStTn0OjzKAEjyW32MYwiXpIoFIFFLnCi90srTiZOrJ7pn7TDhHVSSdycAFYnDv090rpPMnHfANWmppj38cBTFM9syWLZUE+4YrFz38rjzhOhu+y+zTtw1UVnAIQcOTPg/sZLUoLrsXiBMTFddfev/h1XXHJaiWHynxl/8srbH1xPf/6Yh0pBxXlwIQ0fbXG+ADOb4CwpSSPQmtOk4tvpx7wAMc1SKYmSdWXsCDEUZj/ig6SuQW9TJeesuBq73ovlgknEzQsYBZdCmuuZ9eGReEIR85SQBOBcmf88p4G9NQLuHSV6+lf+wC2V/uzJp/dMXnLJuiMFiwMaL2kJnh7NyS3wivmeTRu3fPifbrxvzche/qbqni3IZQl2jxEEAYHnKlCoHi9ammlpHUtqRlTJFoeSeH8kyQGYHFHV6SCVeBFNBJo6j7FYajPWKr3TEtyW4kqCS2tdJqU4lQl6YlqRiGTcvP69jCqLh8NkJM31JImeEEyYDnS6ShUlEhmXw+cC23d7YETiVWv6kS2Km6fk655wvBV/L+XUvhOPW3ykoTDn8bICuB4bN21HsVgYevqZDdften7Lm3K4F9/4yTT27Mmjr1PxlWpNgZMxwHOiup8k9mJqIDmMwGFqqScBCCCEBBcA52opZeziMfQmAV7rPbPATADK9g9wJ6InGuhqmwZ8TCv00DmsnBP1Uj28TetEJwK362jTnoQdK+8yAc8VcJgAFxTVaRcEQKU8jS27J/HThxbhbReegDWrl908OLTsI/V6bVtH14EVn38pjJc0RZlpLF82iJGR0W1rX7Xm44MLSt/pLs3/8CO7Np/52MOb0JWdRqnDw6PbfIyPEfQUZVSqQs1lbkqoElO6QvNfJ5K6AKLmtkI1RuLqka/OklEZs8isSCJToVXj2FCaiDPNJkUSdvcUXSIWV9b8XB+ue13qdh+cq69nFJAs+l0MAHTGjVJEuYjKUlMCxgS6OmoYHgc2P19BzgM6Ojpw7JpjwHpPvHvRQPnv+xcd9fh0I9zW+TIEN/AyBTgAdHdXAGCTH8pNjB3zxMAip/+stWu+vm940zJZe4wVO8Zx/U8K6CllkHEFMh5BEEo0G6qmnpJsWkkkcBiF5yjpC0IQhgKcR23sQl3oJq6ZCEBJTCmjLglRmTMDcpnIoJ7NM0osY60BN405OGNKqjumZSOs/jkUTZ8g4Oo7GFNAV651dbzLJDxX/Z5mlIQgJEE+G6BSnsCNd2exeSvwlgtP4IMrl22qlMbfe/yrz9gFYAMhL8uHvBkvW4Dr4TkEADaMjIxu4EJcMLq3sLCn69gf+Hfe0tH7m7FCxgnRUWAo5hkAjgc3BpCCoSsv4TkKQI5D4LkEGZfBdSkchqhLQYCpMY6mL42kdxgxZkJCVBH5hBRPjERvtnjYThR9ZMpMqSkJi14OlXAdoRwtEcgdh2F0gmF8SukJDlM6CKB0DOFEnaA9js5iA0IG2LCjG1I6KOUFMi6FJB0YHFw+fe45l1RLWXl5V+/A84SxbS93YOvxsge4Ht3dFUgpt/X2dO8Axo9ZtfoNp1z7afK/n9u6Kdy7e0ul2aiWVg1NQWTHcdu9Xch7FEWiHtUuI/AchkyGIpehyGeBUo6jUAxw74YA4B4KGYmMI5GxeLgw1VPjyDvjXLHEsk4n0yPhMEK8jF31MgFySlXTXdcRyHgcnhcinwnBZQP3PNaJfWMeClmKXJaBi6i4KVMRfwDguRwdhSpuvT/EA4+VsfqoDPLFnsneRUOjxQVDzgWd5D3EW3L/QH9xIgghPPeVAW7gJebJPNgRpYeJTVubY319i2/v6y6v+Po3/3Xp2976tr89+aQTn1w80P3YWSfkGh3FLMJQgEDCYYDrUAPuYl6i0sEx1N/Ahafsw0lrRrF1lGCyQdAMVCc8LmSc9a8VUMu7GV9PUjKDxGY9IWOgt5wDwLREJ9qiIuC6CuCFnI+FveN4YP0UfvpIiB3DHOOTIabrHI2mRMMHmj7QDICQSxDJ4XpZrB/ua+RKfY8de9wJT174hsv/9omHvreUOV0r5s8bvL23ozpGCHlFgRt4BUlweyw/aj6gVMna9u07wJjzRcrYF7OVo9jy7mO++odvdlbs3LbtjMbUMMu6IfIZAkZV3ZZ8FugohOjsaKK7o4lKnqPeDFENXHhM8VnuAI60TYlocYtrYkKNNSUGjhCIu1mn+Dds6U1si4+EwwQ8N0Qu46NYmEa1wTA8yZABUMipCeDQEFKo6L6M5wIsj1LXIC/29v360vNyG4b3Nj7AGOWZTBYXXHmtLFUGakf6/zqc4xUJcHsMDg4AsZAM9+wb/7P3r8h07du777N3/uzn3p7hnXx+b/4EACdOTY6AoYqc10AxV4OQdYxWGbjgmAo8dLgEwqqGoxa66GUK5CQ2GzqMGNt8GEpVfzsS7VTAaK1xPErSRW8+j0i4jCPrBnCcEN0dASTxMVpjKFR9eDREd2cX5vf1gjLyiOf6v+3qWcSWrDnTL5crn7qg3x/zsi9dr+PhGK94gKfHvJ5OABgD8H4A+N2j94BScubkVHB+szF9ucemV5bz4+j07sWzwx5+8XgBIFOYrAWoOTlUCiQy2anPi4EtLWkemxCNHd4BggBoNAWCUNXoI4QapdW0XtEeSxqDW0hlthSSqIa6zhgmpxo4fZWHFQMhdo4UcPppx2Nofg59PaX1HaXiDwScOwB597nnnHWkb/kRHf/hAJ4er1r7GgC4e7I6djeAe4QIlxI+LMLRR4XMDB717itWfzKsrcfWvQxPPzMFwkdV2zxB4IcMnqt6C5kqAFAOGiCW4NkM0FkSaAYBtg9zNH2CcpGBMQI3mgyGaxNVQE0ICeIIMMoxPQ00qIQUAn09HRjj/di03sXxRy/DOa/e/fkf3cOfvfjCM+iSRRXqee5mALdXKv+xJPVM45WlURzCMTy8F5R5nY2pXWfWJx7Bg5t4UKv1frSYkee5jkQYcnzvtkfgyUl05FX3Xz8EpAjhshC5DEUu6yCfpSgXJZYubKAhqrj+Jy5kI4PF8xlKRReFLEMuI5HPAZUyQz7noNFUlKeUD7Cw34FTPB2UOsh4EuVicOeze/Zc+8ATne6FZxyP5Uv6767V/fFyZ+eRvmUvyfGfAJ/j2L5jFwAcJQTvowSi1gxw9bU3wfX3oLPkgHOJkfFGcM5Z664O/NrFBGHguQxZj6KQk1g0rwlfTuLffpMBCTws7KbI5xxkXArHkSjmHbfSlf/x7uceubrh51whCDoKPlYuzaIy+E5Q6oExUMboMIBnOzr7j/QteVmM/wT4IRy/+NVvQAjp27d3T5lzX3quojC5DNBX8RFgGr981AMNXczrpMhmGDyHglKBYsEj8/vmTUgph1cec8qR/imvmPH/AZ16bGdFMFafAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIwOjM3OjMxKzAwOjAw8UiQGwAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMDozNzozMSswMDowMIAVKKcAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 226605000
{'hecke_orbit_code': 58546795189374520, 'n': 1, 'trace_an': 2}
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id: 226605001
{'hecke_orbit_code': 58546795189374520, 'n': 2, 'trace_an': 0}
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id: 226605002
{'hecke_orbit_code': 58546795189374520, 'n': 3, 'trace_an': 1}
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id: 226605003
{'hecke_orbit_code': 58546795189374520, 'n': 4, 'trace_an': 0}
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id: 226605004
{'hecke_orbit_code': 58546795189374520, 'n': 5, 'trace_an': 2}
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id: 226605005
{'hecke_orbit_code': 58546795189374520, 'n': 6, 'trace_an': 0}
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id: 226605006
{'hecke_orbit_code': 58546795189374520, 'n': 7, 'trace_an': 2}
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id: 226605007
{'hecke_orbit_code': 58546795189374520, 'n': 8, 'trace_an': 0}
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id: 226605008
{'hecke_orbit_code': 58546795189374520, 'n': 9, 'trace_an': -3}
-
id: 226605009
{'hecke_orbit_code': 58546795189374520, 'n': 10, 'trace_an': 0}
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id: 226605010
{'hecke_orbit_code': 58546795189374520, 'n': 11, 'trace_an': -4}
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id: 226605011
{'hecke_orbit_code': 58546795189374520, 'n': 12, 'trace_an': 0}
-
id: 226605012
{'hecke_orbit_code': 58546795189374520, 'n': 13, 'trace_an': 2}
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id: 226605013
{'hecke_orbit_code': 58546795189374520, 'n': 14, 'trace_an': 0}
-
id: 226605014
{'hecke_orbit_code': 58546795189374520, 'n': 15, 'trace_an': 1}
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id: 226605015
{'hecke_orbit_code': 58546795189374520, 'n': 16, 'trace_an': 0}
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id: 226605016
{'hecke_orbit_code': 58546795189374520, 'n': 17, 'trace_an': -7}
-
id: 226605017
{'hecke_orbit_code': 58546795189374520, 'n': 18, 'trace_an': 0}
-
id: 226605018
{'hecke_orbit_code': 58546795189374520, 'n': 19, 'trace_an': -3}
-
id: 226605019
{'hecke_orbit_code': 58546795189374520, 'n': 20, 'trace_an': 0}
-
id: 226605020
{'hecke_orbit_code': 58546795189374520, 'n': 21, 'trace_an': 1}
-
id: 226605021
{'hecke_orbit_code': 58546795189374520, 'n': 22, 'trace_an': 0}
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id: 226605022
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{'hecke_orbit_code': 58546795189374520, 'n': 991, 'trace_an': -11}
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id: 226605991
{'hecke_orbit_code': 58546795189374520, 'n': 992, 'trace_an': 0}
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id: 226605992
{'hecke_orbit_code': 58546795189374520, 'n': 993, 'trace_an': -24}
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id: 226605993
{'hecke_orbit_code': 58546795189374520, 'n': 994, 'trace_an': 0}
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id: 226605994
{'hecke_orbit_code': 58546795189374520, 'n': 995, 'trace_an': -18}
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id: 226605995
{'hecke_orbit_code': 58546795189374520, 'n': 996, 'trace_an': 0}
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id: 226605996
{'hecke_orbit_code': 58546795189374520, 'n': 997, 'trace_an': -31}
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id: 226605997
{'hecke_orbit_code': 58546795189374520, 'n': 998, 'trace_an': 0}
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id: 226605998
{'hecke_orbit_code': 58546795189374520, 'n': 999, 'trace_an': 47}
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id: 226605999
{'hecke_orbit_code': 58546795189374520, 'n': 1000, 'trace_an': 0}