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{'Nk2': 15288, 'analytic_conductor': 30.518823652533364, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -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': [3822, 1, [2549, 3433, 1471], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-1, 1]], [11, [-1, 1]], [17, [5, 1]], [29, [3, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816745198, 'hecke_ring_generator_nbound': 1, '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': '3822.2.a.o', 'level': 3822, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '3822.2.a.d', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/3822/o'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3822.2.a', 'trace_display': [-1, 1, 1, 0], 'trace_hash': 36053614263113636, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.012', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [1], [1], [1], [-1], [0], [-1], [1], [-1], [1], [1], [-1], [0], [1], [1], [-5], [-1], [1], [1], [0], [-1], [-5], [-1], [-4], [1], [1], [0], [-3], [-1], [2], [-1], [1], [5], [0], [1], [-11], [-1], [-1], [-1], [0], [0], [-1], [1], [1], [5], [-12], [1], [0], [4], [-5], [-1], [10], [-1], [1], [0], [1], [3], [-14], [1], [-1], [-2], [0], [1], [-1], [-1], [4], [-5], [-5], [0], [-2], [-1], [1], [11], [-4], [1], [0], [1], [-8], [1], [1], [0], [2], [0], [-5], [1], [-3], [-1], [12], [-1], [0], [-5], [2], [12], [1], [-1], [2], [0], [1], [-4]], 'ap': [[-1], [1], [1], [0], [1], [-1], [-5], [1], [-5], [-3], [2], [-11], [0], [-1], [-12], [10], [-14], [-1], [4], [-2], [1], [-8], [2], [12], [2], [6], [3], [-16], [11], [-4], [4], [-13], [-5], [8], [0], [17], [11], [-18], [-3], [4], [2], [10], [15], [-18], [-14], [17], [-3], [6], [0], [-4], [-20], [6], [22], [15], [2], [-12], [-28], [12], [12], [-14], [28], [2], [-20], [-2], [26], [-30], [20], [-1], [-18], [-8], [-6], [-4], [16], [-18], [-14], [1], [-6], [-34], [-18], [-21], [17], [6], [-30], [28], [-25], [18], [-5], [-2], [-37], [13], [35], [-21], [-8], [38], [-22], [36], [-21], [-7], [-34], [-17], [20], [-8], [-1], [6], [-44], [46], [-18], [-16], [-11], [-8], [-25], [-29], [-3], [45], [25], [-12], [-29], [24], [39], [14], [42], [-29], [18], [-29], [-20], [34], [-18], [4], [43], [14], [30], [30], [50], [-20], [4], [-5], [-21], [-35], [18], [12], [29], [-40], [26], [21], [47], [-24], [8], [-10], [-24], [38], [-2], [-37], [19], [16], [-20], [-3], [42], [32], [40], [-18], [17], [-36], [47], [36], [9], [23], [-2], [-58], [36], [58], [21], [-48], [-16], [14], [-43], [-38], [4], [54], [-36], [41], [-25], [12], [-26], [54], [-30], [42], [36], [29], [-38], [-15], [52], [-19], [60], [41], [-58], [35], [-14], [24], [-60], [10], [64], [-17], [-48], [4], [4], [-18], [50], [36], [5], [-22], [-43], [52], [22], [-66], [1], [-25], [-50], [-5], [-14], [-18], [-12], [-70], [35], [-8], [-51], [-32], [-69], [72], [27], [39], [-32], [-44], [-21], [-72], [-18], [57], [-41], [12], [34], [54], [36], [-52], [-41], [54], [48], [14], [-12], [10], [14], [-7], [25], [70], [-78], [-64], [-56], [-21], [28], [-36], [0], [-27], [34], [6], [-50], [63], [-38], [52], [-48], [12], [-14], [2], [42], [10], [-39], [-32], [64], [64], [3], [73], [-20], [-36], [-44], [39], [30], [-80], [-35], [-24], [-81], [-76], [4], [-3], [-37], [21], [-69], [-64], [-58], [-54], [8], [-58], [-19], [-53], [-30], [-12], [-6], [-66], [-27], [-74], [48], [13], [48], [50], [18], [36], [54], [-17], [-58], [40], [-48], [66], [-25], [-54], [0], [18], [62], [5], [3], [-82], [4], [9], [-9], [51], [-47], [71], [-24], [84], [-52], [42], [-11], [0], [-54], [7], [-14], [6], [9], [-50], [-48], [68], [-35], [12], [12], [-6], [20], [-26], [84], [-32], [-40], [51], [-77], [68], [-48], [46], [83], [-81], [3], [-84], [-2], [78], [-81], [11], [-55], [-68], [70], [62], [-19], [-47], [-82], [36], [-75], [-13], [55], [-48], [-14], [1], [11], [-22], [24], [25], [51], [-5], [-84], [12], [66], [-70], [28], [-34], [-6], [-46], [88], [-25], [31], [-4], [4], [24], [77], [-36], [-46], [83], [10], [-33], [-67], [-20], [56], [-63], [84], [-59], [-7], [48], [0], [-51], [26], [12], [67], [98], [28], [68], [-71], [50], [36], [46], [17], [0]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 63050394816745198, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3822.2.a.o', 'level': 3822, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [13, -1]], 3, 3], [[[2, 1], [3, 1], [7, -1], [13, -1]], 3, 3], [[[2, 1], [3, -1], [7, 1], [13, 1]], 5, 2], [[[2, 1], [3, 1], [7, 1], [13, 1]], 4, 3], [[[2, -1], [3, 1], [7, -1], [13, 1]], 6, 4], [[[2, -1], [3, 1], [7, -1], [13, -1]], 6, 6], [[[2, 1], [3, -1], [7, -1], [13, -1]], 6, 5], [[[2, -1], [3, -1], [7, 1], [13, -1]], 7, 3], [[[2, 1], [3, -1], [7, 1], [13, -1]], 4, 2], [[[2, 1], [3, -1], [7, -1], [13, 1]], 6, 4], [[[2, 1], [3, 1], [7, -1], [13, 1]], 6, 5], [[[2, -1], [3, -1], [7, -1], [13, 1]], 6, 4], [[[2, -1], [3, 1], [7, 1], [13, -1]], 4, 2], [[[2, -1], [3, -1], [7, 1], [13, 1]], 4, 3], [[[2, 1], [3, 1], [7, 1], [13, -1]], 7, 2], [[[2, -1], [3, 1], [7, 1], [13, 1]], 5, 2]], 'ALdims': [4, 7, 6, 3, 5, 4, 6, 6, 5, 4, 6, 6, 4, 7, 6, 3], 'Nk2': 15288, 'analytic_conductor': 30.518823652533364, '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': [3822, 1, [2549, 3433, 1471], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 753, 'dim': 82, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17, 29], 'hecke_orbit_code': 33558254, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4], 'label': '3822.2.a', 'level': 3822, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 816, 'mf_new_dim': 82, 'num_forms': 53, 'plus_dim': 34, 'prim_orbit_index': 1, 'relative_dim': 82, 'sturm_bound': 1568, 'trace_bound': 11, 'trace_display': [0, 0, -8, 0], 'traces': [82, 0, 0, 82, -8, -2, 0, 0, 82, -4, -8, 0, -2, 0, -4, 82, -4, 0, 4, -8, 0, -16, -8, -2, 54, 0, 0, 0, -20, -8, -12, 0, 0, -16, 0, 82, 4, -12, 0, -4, 0, 0, -16, -8, -8, 8, 8, 0, 0, 0, 0, -2, -12, -2, 0, 0, 12, 0, -32, -4, 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232, -144, -96, 292, -208, 0, 0, -32, -256, 16, -144, -124, -32, 0, 4, -96, 72, -48], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1155036
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': True, 'source_label': '3822.2.a.o', 'source_level': 3822, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '3822.2.a.d', 'target_level': 3822, 'twist_class_label': '3822.2.a.d', 'twist_class_level': 3822, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1155037
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': True, 'source_label': '3822.2.a.o', 'source_level': 3822, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': True, 'target_label': '3822.2.a.o', 'target_level': 3822, 'twist_class_label': '3822.2.a.d', 'twist_class_level': 3822, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3378350
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 2}
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id: 3378351
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 3}
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id: 3378352
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 5}
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id: 3378353
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 7}
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id: 3378354
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 11}
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id: 3378355
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 13}
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id: 3378356
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 17}
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id: 3378357
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 19}
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id: 3378358
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 23}
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id: 3378359
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 29}
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id: 3378360
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 31}
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id: 3378361
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 37}
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id: 3378362
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 41}
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id: 3378363
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 43}
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id: 3378364
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 47}
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id: 3378365
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 53}
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id: 3378366
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 59}
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id: 3378367
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 61}
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id: 3378368
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 67}
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id: 3378369
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 71}
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id: 3378370
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 73}
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id: 3378371
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 79}
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id: 3378372
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 83}
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id: 3378373
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 89}
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id: 3378374
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 63050394816745198, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 15, 'label': '3822.2.a.o', 'level': 3822, 'portrait': 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6GBY+dq9IaWdl3Q8AWSmCBIaDcSugOfY+dhbHyMtVy5OaQ3SDi9qJlpeVyyOWb7hj7NxhghLWEo6AzqLHR8ZhoCT3qcPu9z8JTg6NmY40sxQX3AG17W5223QiCn2XeszfFzijMZcy9YDi5abrlmgZ/7vhU2T09z9MwsZxYbLKxoFlclK52YTj+mO0jo9GJi6tTmtpidu7Z+fKpdf38Yxd1/90/f/e2GxLf0+GsN8E6ny3gcoZT8xceeOfTKn/1/PyvffMvhV/6jt5/W55bXs9xtsdoLWO1qlrualR4sd5KUyRPOrMKhRcH8/Cr/+geWePllDU6cm+X0+SanFzXnlixnF2NOLiSc78VMz4541XV9XnEl+LJOoALOLdc4s6g5uywYjCGODTXf0KwlzEzFGODY2ZhuH3Zs8GjWx1grQPj0h4btG8csrWqwToqs9mEcg8Wy3AnZst6jN1QIZRFmTLvmsX3TiNWB4NhpTWI0c21JqyYIPIhjwWAsObssObNkObcSEwQj8GJuu7rPK68RzLfrLK20OXEu4PQinFuMObccc2oZDi1Zbrl6kZ//gRU2Trc5fnaWs4t1FlZ8FjuS5U7Cai+i00voDCwrfcuZnuD04oh/94/H8Xe/evrBxoYfMvWpKx6UwvxMbDwajda3GyoXffy11eBf/MJnufa66/npn/5nv/Bnn7/7//iDT3zt0j3HVnfuPTmQr7p2lUu3GEyiUjAJQGCRgAQECIsWlkDC6eUajxxQXLd7mSu3jWjUwNMS31P4vqZZlzQ8yaDvse9oja8+6XPs/JhuHLHvxJgNc8u8/VUrXHdpj1uu7HB0MWZxIGgEIw6ftnS6Ta69RLI6SthzVNFqaF44BpdttozChFHio3XETAv2nghQOsGTMdqD4Vjy8isHDAeS6y5N6A4Tjp1usWujotkIWR1b1k8PWOl3+fg34OkjCc8eGbFj8xLXX9FlZjbkrbf1+Duvseze2CKJpjlyaopDJz1OnDWcPB9x8nzCofOC46sRN1y+wL/+gR4bpqc5cXaWs0sNFld9lrqCla6h04/o9B24l/uWc33F2Y7hpssXef/blqRG7jx2/NSuTje+tTG1o95uT3/tc5/7Uz760Y99uyFzwcdfSwb/9Q9/kn2nmuq2Kzv/YuHcuf/78WcOqaNnRpzvKo514dKtC/z795/jhl0Nzi7NsNRpsNwNWO16jsm7sNJNWOnGLPdiFjtwYkWg6yNuv2aZ974mZNf6Jqv9NueX6yws+yx2BMsdw1LHsNIzdIeG7tgyGMXMtSO2bzCAIPAsJ897CBmwY71i12bL5vUDzq2MeeZAi5svszTqKzx/cJZWMyQMPeZmDMMRXLV9xEe/Mc0V22LGY8u6KUmUDGnVAl44OqLuNbnx8phnD4ecW/LZMhewaxNs3xiiVMTJRfA9ixCWHRtiZlqS3jCgP/DoDjyWu4rlVVjqGJY7CYudhLMdWBolbN/S5713LnL7lZqa1+bMYpvFlRqLq5qlrmC1Y1jtRaz2E1b7luU+nOtJznYSbrn8HL/4Y8tcsnGKs0vTnF2sc351ChlsT9atm/2Ft75968/vfWYhuerGd327obPm8dcK4Pv276der9VPnzq5/e77n33PiVNn/+3K4hkS69hlqSc425Mc7STcuOs8v/zji1x/SYPzK9MsrTZY6dVY6XqspCDv9Ezq98Ysdy3nOoLTfQuizzvv6PDWlxsu2VQjDBusdGqs9n06PcVKX9AbCEZjSxhbkgSUtAQe1APLdNuyfjZCeyMOnQl57mCAiZu8+dYQ7a3yxJ4pdm6CLz4ac8e1Aec7Q2paEScRszMQRx7ai1laavCqm7p88aEWuzbB4wfGeDR408sNsRjy3KGEIydraOmzYUYz0xTUA4HvC5SA2EAYWUYh9AaW1b6hNzCsDgxLfcswSdixdcBbX9Hhna8MwbRYWp3i/HKdpU5KBh1Y7SV0+jGrPQfulQGc7SnOdxNuvuwcH3j/Aldta3JmaYal1SZLnRoLK5rhOGHH9vVMzWz62aB97Z9s27r5+Hg8Gl522RXfbijlj782AD99cj/r18/7+/cf+uE9ew/8+gMPPy1WVvvSWhhHlv7QOE04EJztK052I1526Xk+8CNL3HRZjcWVaRY7TVa6AZ2ez0pPs9oTdHqWTj9htRfT6RtW+pbzPcGZjmFmesB33NLjtitjdmxQtOse3V6NwJOAIowlxgiMhcEIEIaZ1ogDpyzGhtz1eJPxoM6lW3xuv25AZFa598lpbrzM48DZPp2VNq+4bsDXngjYMGvZc8zyD9/RZc/RgA2zkq8+qbj9KsXyoMvhE7PceHnIvc8NiccNbrvaZ/e2EcO4z1eeUJAIDp3UtBsaLWAwlBgrSIwligFp0L6h07c0WxHbNo155VUDvuPmmLlmjXPLUyyt1lnpunOz0hV0+tDpxXT7Mat9Q2dgWB5IzvYEi72EW684z7/9sQWu21ljYWWG5U6TlW6N1Z5Hb6AYhZLEWGJbM1t3XGu377jkH+zadenvLC0thNdec+W3G1LAXxOAr3Qi2R8M3n7PvX9+6fZ19oP3P/iUt9oTjELLODSMxgmDkaE3snSHls5AcG6gONlJuO3Kc/zijy1y8yU+q702CystOv0aqz2f1b6m01N0BtDrW7qDmG4/yW+Whb5goQ9RMub6y4ZsnE3oDyxvecWYnRsNcSLR0hJGcM8zNY6fr7FpJub5QzUwDa7cqrjpCkNQG/DEgQELi02u2dmkPb3CQ896vOyyGkuDVVZW2mzcaHl0j+J7X9fnsT2ares9FvsdVpZnuemqAQ89nzBbn+aaS/uc73R49MVp6rrJLVdYLt8+AtnnmSOC9bMR5xYi7n3GYxQppITEWHZuCvmOV4T0+orNM4abLoMwbLDcabDcCVjte3QHik5f0u1Dd5DQ7Sf0BgndgWF1YFkeSk51BZ1hyO2XL/BvfnSZmy+rcXZpmpVug04/oNv36A40/aFiFAqGY+gNElY6IVdfd0t0+U77z77jje84qL3G54QIzLcbW9/2TGa/PyCORz/wwvNP/erxI4dnw8UVar4irguEsO4OtGAtGGtcat5aEAlSKB47sIGf+S2Pd9y+zPtet8yuLSFnl9oEfp164NMIPJp1Ta8uaQ09ppqawSihP0zYMDYMx5beKGB5ocbJE5YwNpw6GxMEFhD4yqKlYDBUCDzigeaGnYLdmy3btwwYJz2+9Jhi78EZ3nhzwE1XrfB7X7L4osHOLQOefUixZVqxrj2gpuqEkcf5HjRrmq0bBE/vDbnp8jqvuXGR3/38EN9r8YZbLV4w4OuPhnzxkSYvHqlzyeYGOzclzM+E7FoXce3OBKUMWlnA0ggC5qcDwsijN/B5/oBHf6QZDBX9kaQ/hP7I0h+4794bJvSHKWEMYWGgOLtiaUx1+Mm3LPC3bwu5bleT04ttOr063X5Ab+jRHyqGY8kwBfdobAkji7GCBx963LPh3K9u3PDM8hVX3fK/j4bD363V6//rAnw8HiAQP7rvxcd+8YWn75414y59T6EUBD4YKyiMHotNXwksUliUSPCV5PmD63hqf4MDp8/zjlf2eeXVI6ZbbZY7DZrdGu2hT3+g6aUXezjSDMaa0dgyCg1hZIkiS5y4I4x9rAGpBJ4W1HzBdEsw04KN6wxbNwxYN9Phy0/AfU95SDPFG2/2uOHKHg+8GBGO2tx+g6AzHHJ+qcltlxvWTQ+o64BRrFjoRigjuOFyTaM15sl9NV590xSvuL7Hk/sU2CluvtrnR962zNeeDvnqY032HK+xfV6xcbbOTKvBVAvqAXjaoiQYC3uOCJJEEMWCMIZx5AA4GicMx4bR2DAYGQZjQ38I3TEs9CULfRiZEa+/cZm3v7LD332DJYpanF1s0R3U6A38lLU1/ZFkMJIMR+TnbxwajHGf58V9S5w7f9fsq14d/bvX3nmH7vUHv9VqNv7XA/houILE/MixQw/84rH9966fqvdp1xTWuqAug7IQAiEUQgiQCVKAki6LqJTFUwk1LVkc1PnYN7by9ae63HHtKt/3+lWu3dVnbrrB0mqD3jBgMPRSYCt3hIJxJIliQRy7pd6md5GSFq2h5kOjbphtRWxZPyCmz4FTER+/t8bhE02mgzovu1pz23VdHt3f4a6H29x6WY3tmwZ89BsCJQLarYjV/hhjQQmYbw/o9nxMXOftd5znY19ssPtcjbfeOiCMlrj3uTmipMbLr17PW1/W5bJtHb7+5IBnTzR45ojP1lnJbFvQCAS+525CKUAIi7FgjCWK05s1sowjB8RRCMMQeiPByliw3AOhR9xw+Srf9x2rvOrqhHWtOiudJqu9Ov2hT3/opcBW9IeSwVjmzD0aG8ZhwjgyhLHFGAgjWFpd4vi5u9Z3+uYX3/LGV9lzCyu/vWF+5n8NgPdO/EdWR1vpnv3cD46Gww8unti7rqZ7rJv2CSOIUwaSkUQIkEK4Q0oHagFKCqQ0aGXwlMXXhpoWrIwUy50ZPnFPk0ee73P79at83xtWuXF3h7mkThwHDEY1+kOP4VgTRooolsSJJDECY0W+OgS+oVGLCfwQ3xtzamnM5x+XHDzpc+TkDMoE7N7kc9Uuxc1XdlHBAs8darFlusE1l8DG+RWWu22u3SKJjeXLjwWMB5LpZsybXj7ic/dGHD/b4opLPc6sjnjhsMe2DTNcv2uBB57t8dALgnHoc+WuWa7cFnDl1h6Hzixz8BQ8trfBgcNNGloQaEkzsNQ8kNIFVda6mzVOIIwhTAT9saA7EnQjCE2MsSNuuazL931HlzuuTdg0GzAcTbHUqdEbBPRHPoMU2IORYjgWjrkzcIcJ49ABPIzdChgl7ndGEZxZXuH3P/GN9c/sO/fBerMZQ/v3rO2I/gjbqv+PC/3+hwL8//zAh2luvYvlvbf/3Xh8/D8NV09P17Rmph0wHEMYqfSQaGXRSqKVQCmBkgIllXutDEoleFrgewbfswSepeEnTNcEvbHHSneGT93X5hvPjNgwM+A9d3a4ctuI0bDPNbss2zYqxpFHkigSI7EZuKXB0wnHzlmOnBWsDg2ffaDBqcUZbOgxU1NsntPs2Ki5ZAtcs7uLkYt86HNNlpenuPVKzTW7O3z9GYGIPdbPSJqNmEHkI60EK1HapzMSnFsWXG0b3HlzjwefrLN5nc+t18zy9962yO98scdj+5r0Rx5Lqy12ba5zxaYBL7+8x3e/usfp5WU++0DA0iDg2BmPU6d8POWIQCAw1pIYiIwliQ0zcxHXXT1gPI64ctuYd905Zv2UYrYVEEU1zizU6A99hmOPwUgzHGfAlgzHguFYMBqTSpKE0dgQRoZxZB2DRxDF1t1QMQxDzZkTHZ4+8si6bds2/srXH37kZ4EfsWZ03/9IzP0PA/jP/ruP8fff+rfF3/sZ+e519ec//K7bnmpctaNGp99Aa4vneYzGmnGk8EKNVsqBXEqUkigJWokc9J4WeJ7B14ljcM9SjyyN0DJVS5ipCwahpBc2OXKyyQf+aBZMjIhjbr5uwK6NIXGcBa4uiSOFQCqB9nz2HffZc7BGs6Zp+ZJ1DcH8nGT9rGbzvGLHpoQrdqySiCX+86fbHDs+za2Xe1y5M2EY93j4uYDpusfclGW6FdKoOylkjKQzUiz3LUudhE6/zquuWeXxPQP2HldMt2u8/OppfuztS/zaZ+DJg036Q8tqT3Nuuc3GdQ3Wz4zYMTfin757QLvR4dkjsO+ExPMsSlmEMLjI3LF5HMPOjQm3XxuTRB5RHGBtg1HocXbRgXo41oxClcu3YSgYpeAehTAOC9YOQ+OAHhUSKNP841gwiqAXSVZCQbefMNt7bn68tDI/PLtr14sH/sH9p/d/xG6+/O/9zwPwf/HLH2PLhmn1H/70T955+tTC7/3OQyu1Z/c2+eD7O1y6Jcb3YvrDAE/7+KHHWBs8rfFCiacVOpRoJfG1dMDWwqXZPcnYkwRhwjiy1CPj2CS0tGMYR4ZxDGEsGEWScRIQJTX2HmzyzF5IrMVB20kfT4KvXM1HK4BrNkG7DlNNyUxLMTetWT8L2zeO2TS/SmSX+c+fnuLQ4SluukRxyVbJ7q0r3P1CzLmlKW7eJZlpG2r+kEAGWCWIE4mwljgJWenXOLfkcdOVdW64vMcDT9bYMCNo1FrcdLnhJ9+5xH/6jOGFUy1W+4bVnmJhRbNuuslMu85Me4p2I2K+GbHjppDAi/F0jFIJUrhgwuJuqihSnF/QRLEiit1KOU5XzHEoGUeScSgZhZJxKFyAGgrGqVXrzmtxfsdRdrjamnHkgD2MBN1YsjqGwTDk+u1L/MKPneP2S86xdF59aMu63xxKb8unT+3/SLLlfwDI/8oB/iu/9sdMNX118sy5dx05dvp3n33xWK3VavHlxwXeb1v+zY+ucvmWGE836A0TPJ2glYenDJ5WeKFFK4WnLWNt0xoSwSgUBJ5g7DtJMw4NUWQJ48S5InHpSCBOLEliSAxObxtycAuBWyEkeB4EWlALBI1A0mwophqSmSnB+tmYHRsHtJqrfPrBkHufm2V1sc112xU7Nnlctm1EIlb58mMNmp5mfkbRaox47hCu436bZTBWXH9ZxHW7LWfPJCys+AxHDd78sh73PzvkwClFsy4J/DbXXmL4+R9c4p4XhnzunnUsdS071iesdDTTbcVU06PV8GjWLbXAEPiGQCdo5aSWlO4aWItLWBlBbCRxIohjQRRLwlgQRZJx5JyXMBKEkSUMYRwlhFEmRZzbFEaWcegyvOMIRpFgHAuGkaAXCXqxoDM2mHDEjduW+Jc/usgbb5Isdabo9g7XVC34A8bBDxmx7pN7n/rj5MqbvudvNsA9aeTqaud9J0+e+o3Dh47WZhseIoTYNvjcwxuJQsXfubPDu+7ssG4qojes4emAsZfghRpPJ3iexg8VvlYEnmObwE8vSn4oohjCSDoHIS5svzgxJIlzFxKbOiWpWyKEcMGrFGgt8LUg8CW1QNKsC9oNy3TLsGF2zPxMj9iu8on7Jb/zxTnW12pct12wfZPHzs2GHZtW+PTDluXlGlduVMy0odWIOHdUcn4lwN/lmG5+SjI9DQeOWFa6hrOLNS7bWeN1N/f4/H015loQ+D5KTnPtbsGPv/U8njzPnz8ww4unamzoRqyfjplqKlp1RaMuqQeawIfAA62tA7kAKUogx93YiYEkEcQJKdAhSpzMiKLEkUIK6Cg2hLHT2GFUAHscwSgWjGMYRNIBO4ThKKId9Hjvdy7w7tf0ed0NipVem8GoxjgK6K+eqMla/cP1lq+F0n+M45m/mQD/9Gf+nDhJfvCBh1/4lePHjrWnG4re2GKswVjJMg2+8vhGHn6hxtmVRf7hO3vMtkPqQZ3uoOYki+fhhwm+1gRetrRKF4zG0oE7diCPUlaKY4gSSNKo3hgXcBljsx7OFNwO4EqJVNc7gNQCaNQMrXrMdCtmfnrIuplVHtwb8gd31dl3ZJqdUx67N8LWjT5bN8AV27sM4i6P7mlTVx7zM4rpFky3xsxMxfi+Rgh3cw3HPsvdiNWBpdOPOb/is31ji1dceZ67Hhuw71SbRhDhKR8hpti9RfH9b1jklivO8wd3tXj0+WmW+pr17ZjpRkyjJqnXFIEnCDyJ57lYRSlS+9Ch3OJ6WI0hB3qcmHR1S63F2BAnzvaL4jRwTFfELIAcxYJxJBjGTmv3EhgMDUk0ZK7e5Se+e4l/+r4hNb/GSqdJf1hnOPIZjn2GoUdv5WQ7aKr/3F53rX//vV/8nTte89a/eQDvdLpIKX/0M3/22V9cXjoz16wrhCBnUItBIFmWNTojxa/8iceeQ8u8/dV97ryhy4Z1Y7q9OsOxj+/5BL4mjLJD5QCPIkkYy9ReTD3thNT6I2VuibEU4HZJypS5QSuXMPE9S8031GsxrVrMTHvMpnVdznUG/PpnPb78+CzLK00unRdsXy/Yst5n63rBrs0jtL/Kx+7VHD7R5PINkpmWZKqZIOWYUwuWQEukAGsFYaTZsb7LYyR0B4qVruXccp3Lt9b47js7fPLrPkfPBXg6QggPY5tEseTmXSvs+J4uX35ywEe/PMsTR5tsmRGsayY0awk138k233OxilapzSpFXpNhsWlWGOe0JA7wGcjjxEk656OXnZE0eZQ4YDvWhkFkiPshW9d1ec3Nq3zXHX3edItF0WRxucFoXGMwduAepTmI4Vhzdunc3HZv1wdf94a3q36v91vN1l9NTflfCcBHgy5ae3/v6ace/MUTx/atDzxBzZe5BjbWphgzSCFYFT698Qwfuyfgnue63HRFl+95/ZC3vmKVddMBg1HAcOwTRR5h7BFGOg+U4th52VGSaUtJkggSIwqtbQS5KrGk/rpLFLlkkcH3DIGfUA9iWvUx66b7DKMhX3/O8vG7p3j0+WlmfI9rt1g2zUo2zPlsnpds3RByyZYVnj065LP3zzOlNPNTgnZT0G5EdAYJX3y4Rsu3COGANRxr3n77mC884mpiOn3D+RXN1vUt3vHKPo/u7bHngE8ziFFSOJCbBqPQaf3vf12Hyzed52P3dHnoxWmOr9TZ2BZM1SwN31DTBt9zrpOS7kaWWdl8CnWTEo0xxQoXp0B3BAFRIoiSAtijWNCPBYMEF/OEIc36gPe+cYX3vaHDzZcb1s94DAZ1Vno1RuOA0dhjFPqMQufSjNNjMBI88+ye9ejZX7zz1XeY5eXOR2Zn//LHyv2lAvzs+VU2zJ8gTgY/MFy655fPHHlsrteNkVKgFE7jJgWLg7voWhoCKel6TU52A04/0uSR5/p88rou73rdgDfdPmJu2mc8drUWYewRRV7uCMSJIo4lsZEkSQFwY1PmNkViQQibBpWujkNrg+8lBH5EPQhp1YckDPnak5I/+sY0zx+ZQkQBO2csm6Yt66YV87M+G9dJNs9HbN/Y5cRCj9/8XJN4XGfrVsF0S9NuQrsRIbyQ7rDJdMsihMBaiGLJbKCITUwv8l2xUldxaqHO1Ze0eP/fWuWDfxxwbKGJVlF6Y2jiuMYolGycC7j50i7XXdLnhWOn+Pjdde56YprTnTrNQNHyoelZfG3xFGjp0vlCVKvrDGCNu+kSI0isS7QlxoE7TFySaJgIhgmMEksUx5gwZK424M2vX+U9r+9xx7Ux7Zomiposr9YYhT5h5DEee4xDj1GoGYeKMMwSa65BZXl5hd//xFfX7zkZ/vK733ZrfNdD+3//tTdvwAum/3oCfDAYcm5h+3fd//DDv3bvfXe3zTjGJA0S43ptnBRIa0ys43ApLFqAJy2BEvSUZhC1OT+u8eePNLj3+QEv/2qff/R3ely1vcv6aUVbasLIJ4w94ljnIHfgliRGYqx0UsiKPP3umNuglEUrg9YxgR/jqZDuMGKhG/EfP13jyPkZntwzjTU+c3XB+nWWdVOCubZibtpjw5xk41zMlvkBc9MrfPkpwxMvTnPdVsFMS9JqSNoNQ7MeIrwxQaDRyv1+ayFJJMOxZjiKiI2gNzT0+pblrsfZpTa3XdHnFVev8rGv1qgvK7SMHCCtJk58wkgyHHusm65xy+4+t1za57HXnObYguQP7prm/GqDk0sBvpI0PYGfyTDpAs+cyDOpgmPy2ApiA5ERjBMYxRAaC0kMcYRSY7bMDLl2h7seL7sqoV3XRFGLTs9nHKXADj3CWBGGHmGkcuYOY0mUuOuhFayf00xPrTKVfH4uWlW/9tqbX7kShYPP/mVi8i8N4C+8uJ9dOzaq3/jwRy994ul97UNHY2baHlPNJGUPx+KezsqmXLWgynRwDL6EmoKhEvQ9j2GsWQob3PXEFA++OKQZjPmht3TYNhezY/OQ267poYVrERPCyRWXlXS10taWmBuLkK5AaxxZLDHImBeOSB7fq/n8oy1eON4ijBu0tGK+bpltWmYa1vngbc3slGZuWrBxNmbz/JBN8yvc+/yYD31+PZumNfNtaDcV7aag1YipB2Me3K8YhRqv6UBlrSCMJTWtuPHyIY88N+0Kn4YJq12PxdWAc4szvP+t5zi5uMQjT8/jSUBEGCCOdQoiSX+omWnVmG43ecXlA15z3YDvee0Ce08YvvBojUf31tl/uEksNOOxYhAplJBpfU858ExzAtYQG4s1Bk8kTPkhNSJecVOfXZtGbF0X8X1vGlP3Fc2aJowadHoO1FGkU/moUkdLVzLT48hZkkni5KJS0PYs060ajWDE/hceaZ8/t3Lpba95rzp14mCyZdulf30AvmfPi2zaNOs/+tjjP+wp8yvRaIXN856rGUkx5qQIWOWSD5k8cYGeK0nVyuIljskbCYy0YJjo9KjR6yX88sdmsHHEhvkRV28fMTcV867XDdm+PiSKRKq3JZSYm1R/SmkQUvCpe+o8e6iJ0JpjpxucOtegVldMBYLppqVdM7Rr0KoLphqKdksx09LMTcO66ZgNcyO2rO+S2FU+dX+bYb/JZVst7Yai1ZC06oZWLcbzQr78SI3xQOKtd92imURp1hVvfvmQ+54y9MeS/jChO9Cs9jRnlxpctavFu+7o8uQLDY4tt1DSAFGqlz2ixLlJo1DSH2k6fZ9WvUGzPuaqrSNuvWLEifMdjp5ZRXsJzxzWfPLuBkKlhWtCVi+iNYABa4nChB0bYt7zuiHr2glX7LBsmIMk9hiHLeLYdU1FsTviWBMlTi5GkSKMFVEkXZwUi9wMiFN5YtJEqzGkVYoNkqUOIjC/8vyzTww2bNr1Owf27Qkvu+Kqvx4AP3XqJEtLi5efPHHy15979gnZaiiMSSUC7qoaCSLJwG7T6B5U7DSiVtaxeCKItLOo6gZaiSVMBGMjGCceY+MRG1jot7n7WYMl4c8ejRAicRfJGjJkW1KLLK9IlEiliCONNBpPS1oB7Jq3ND1DIzA0AmgEgmZd0qor2g3NVEsy04a5qZj5mTGb53skrPAf/7TGA8+tZ/cczDRS9m5IWvWYRj2k2RhSrzcIlETJVIPjLmwUeYyGguE4oTdW9EeG3tC4lrmmz8lzU7zq6jE/+e5z/OonNcdXA4QwWBthEksUe4SRZDR2NdqtoaZZ82nUazSCBrUgolUPufmyEN+LeNllMd/3+gFaxWkSyCCErYryVNIZIxFCEngKcO7H0op2dTtJFvO4ZycPXcFaFLtYKAv6o8hJElet6V67qk0HcosgjMDichgPP/KEvH6sfr3TG94/Ho+e/8vA5n83wO//xmeYnlb1w4cPvvPIoYOi1fCcDx1bEmPSSN1iTJp4kAIpLTINfGIJUZxlEq1rwUogVmlUb1I/2whiY4lSjRgbSWQlidFEJiBJba/yI89SCtBCuEylglrdUtOWmkoIPAg01HxLPRDUfUmjLmnUtAN4UzDdMsy2Y+amx6yf7bN5/RIf+rzho3dtYNu0Yl3L0G4qWg1FswGNekKrHnFmyXDoTEDNd6tUeq+TGMEo1OzaaNi4bkR35DMc2ZTFJas9Tateo9WY5vtef57DZ87y4c9uQUuNxZCYxJ2L2AVvw9AVRQ1qksZIUw886oGbaRL4Mb6XpAmzBC1do4SULp0v0sOVrqTTCaxbCTsmrbI0Lq5x8U0R68Sl5zgRzslKWdoBXuTVoe5nzsJNTJZZLfvxMBzDo489LXbs7L5zy9Ydhz76x58cfu/3/Pc1Mv93A7zV0n6ve/6nR4OzP+3rkWw1JOMQVGTT5ciB1hiLTCwyBbqSEAuBSoGefcnEgJdaVUlqX7nDkliXgUuyZIV1AWsWKJU1N5Bm8tzv09KgJU4GKfCUwNPW+cZaUAskNV9SDxT1mqJVl7QalqlmwnQrZrY9Zt3MgO0blnh0/5iP3bOZmVrAhpah3RAO3HVJs2Zo1mJajTGP7oNn9ja4dN6murdImw/HipddYbls+5DHnp9mMLYMRwn9oU5B7tGo1anXpnnvq5d5Zv95HtmzEazCmMSVw8aWOLJ5PclwrGmMLPWaouYbAt8j8BMCbdA6wdOuxFgp47Zgka40GGER5XaSPDgX6fnNQO40dP7aiBTkIgd19jpJLcY4f59dX/e6uK4QpyUV48gwGPZkzOl/IVTdb7VavwCE3zaAW9uVUTj8V0/e/4f/ezg86TeCoORYCFTsmmJjYzFJekJNyt6JRUkHYJW4v6cNmARi496b7G635JlIFwwV9pZNPfWS3J4AeJHQUTLNWCpKRVsu+xf4ilqgqAeCRl3QqlvajYSpZsx0a8zc1JDN8ys8sm/Iv/rdDRw/Oc0l6wzTDWjXFc26olmDZi2hXovwvRGdkUVJhacsUhafLANGFPu06xGD2DAYu/15BqOE3kDSqSsavYBa0GLnxoif/+EO//L3JA/v2YBFYawhSQxxEqepdOdWDANJfayo+ZLAtwS+ItAGz3N+v1Y2LTdOr0MqU/L2wNLDpHGMMQWrZ3XziRGYPN/gnKE4A28i3IqbFGAuv84ScImxKfBNWpXoSgL2Hjjpj03zn/3Yj7/NO3h6/LOXbv6L93b+hQF+9nyPM+fML9z34Jf+tw3qudpMu5G2e1lM6jtL4b6YNAIjHdCVsSTSYpRNv6DT30kOaluAOklZOgV3ztZpGWh2MAHwVHYXQWzaJKGUs6fyclvtalp8T1EL3EiGemBp1gytRkK7ETHVCpltD9k8v8ojewf8y99Zx77js+yYdQ5Lqy5pNqRj77qlUUto1CKiJOQPv9pCKoUnLUoUNqGxIl3WPb7/jSt85YmQXhgwSAHeHyp6fUUn0NT8gMBrc8W2mH/7I0v83O8IHnp+A8ZKEuPS6lHsCs3GoWFcc+WuQSCoeYLAd5lNX9s8Y6uVQSq3ckphEdlzmSFsBnJyRs8mDJjsdVq4lkmOJBF5nUtW1LYW1KWVOc+eGtcskZYFDEPJk/sO1RZO/fk/ee3tf0vYuPMzQv/FkkB/YYA/88IBjLGv+E9/8Hz9x79zwFyjic16JRV41qWHpSyKe5RJ5YWyRfGTshUZU64bydqvsmRNxtgmpewyc2ePDOBSgJBufogssbfWWd2JxPOkq9/wBbXAzTxpBAnNugN3uxky3R4yP93h0b0D/tVHZnnh2Dq2zgjmmiVpUtM0a65+pV6LqQchnjfm1NIMnhIoaVJbrggyk0QSx4pNM5Y4juhGNYZpG9hwlNAbSeoDRc338L0anp7iyq0x//bvLfDPfxseeXE9iZE5OKI4SZncMA4MtVAy8lUuwTzPWbRZI4lSFi1ByszNsoXjVcW4kytkq6bIScfaDNzu50kCiRX5ypsdpsTY2TVNkuKaZ2UCxrh4QErB7FSfjfq+emfpqlescXz+qgH+1bvuYtcm2fjAr33abzHgiefXc/WuWn5ilAS0053SgDTuZ9kdb1JGT6xwXyzV1DYDevbeutcVOZIum/Yin02KoohKShfUZuBW0s3aLuQJ1DwIfEO9ZqkHTj836hHtRsh0c8i6mQ5PHBjxc781w3PH5tk8rZhvGqbqglZN0qgpGnVBveZuDpfqD3lkj6A/8qkp0nS50+BZE0JiBFGsadYUt13T49EX2gwiJ1OG44TBUNELFIGv8D0/1c/TXLXN8Es/dp6f+q/w0J71REYSGZOvnlkDwtiXBL5x7O0VdfRaZQepTClknEyzvBcGeXogStcDkox8jHtdDhyLZ5sTVZnIKmRmnFTytWTLOrjykmkOHTWcOv8l35/7W41vfP2uwete/8a/eoAfO3acTZu3TH/x83/+mxtn7Kt9NM2aR28oqPmOwaUsEjnSgMoiZltoapstbcqxus2ZwKZVf6V6iaxAy9qcubG2qruFWzFEmlTKioxUDnBQacWgp8H3wPcMNT8tsAoS6qm8aNXHTLWGzLS6PH1wzM/91gzPHF3PxmnNfMMwVYdmTdCsKxp1RSNn74RaENNqjLj3GZ/VTo2ZmSJNngEmW86jRLF+TvH6G/rc+7hxXTShKYFcUvMkNU/jaR+t60hpuGqb5Rd/7Dw/9V8tD+1bT2Q0UVYBmNicyYNI5tWFvpbotGFES4HS2bkh/3z5TUiW1rc51LOE0ORhSs8mv4YZaIvraUrElT9PkBnWycfAl3T7mhcOQqNlX71LHPntt739u/7+yZMnVrdu/W/bFe6/GeCLC+dYXV36qTOnj7/Pxh3Wz/kEnrPBMkkCbsmzRmBkISuywqf89eTPcq2XsXW6FGJLDFKiFIpS0KzOwunJosZbqaJiUCtcfYa2eJ5rLK75hpqfUK/FNGoRzdqYVmPE7FSHJ/eP+en/uo6nD29g/bTH+kbCVMOm4E7ZuyapB479a0FMIwiJzZheGCCUxMsYPNfgIr3RnaUWRR5Nf+TKBcIaMxnIRwkD3zF44EvX4aSzDWgt1+60fPDvn+P/+g3DQ3s3EBnNOBGEecAmqEWGwLP4nsDXJl29yn2uMj0/Ipd0shS/OJKqnO68YK0M7pyEMjlpS/KyRFbGlCWnLa3KeYEnVjiW7w0SwkiRLC+BOvq+Z5999lAUR//8r5TBV5ZOMj27acfn/+wPrhsPzzA7pVxFngStyS0/IWxxx5vi7neBic3B7KJzx+qTbJBLkTQhkJ/gAuEFa5eDymy5TTt0is9n8ZQDtq9tXj1Y85JUN0fUa2Nm2gOmmj0e2RPzMx9ax1OHNzA/pZmvJ0zVLK0U3PWasxMzcNeDhJof026G7DlquefJJr6UeMp11pT3uslWsihRxEZz580Rl17S59DxOvMNGIXWHeOEwShlYa3Q2kvPsdOq1+yAX/rxRf75fzXc/8I8o6jOOJGEsaURO8kSeDiQ62z1Mnlvq1RJvsIpKUoAFyWQs0avFCAvEU9ltS1LzOzal8BvMlu3+P/yKs/871jCyJknBw6dROrHrvvRH/mRHYePnDx2ya6tf/kAH/dP4tfbO88ef/g/1NTCd7WCPsbXWFuk3LPZHEKUZEQWoNis4aAcpFAwtylsqeyOnnRKSueYrMJ5DbiFRarMFnRg0Cplbe1GTHieIfAMgR9T82NqQUijNmZ2asBKb8B9z8Mv/dFGnj24jnUpuKfrllZd0KyJ3Ct3zotx7O07gNeDMWGSMBrWqCl3k8kMMPnik1puiSSOtdPyesw4tAwjUQK4wfcTfE/jeRKtFEp6OcARcP0uwS/9/RV++Y9jHto7x+lOm1FTMp1YWrGllk4cCDybev+Zk2Jz9s6kSgbw/POmH7qMc1u+DiX2LYPdlIFfIrT8ffnaZs3RlAwC6RKFmes0XumigsXvuusbDyW3vfyGf7L/0Omjl+/+1vb0/JYBfv7cSbRXv/XMyX3v7C4foN2sEScJNq21LoBW3OaOecsnQZSWLFG667PApcj2lQFePCrpiPwiuHEPWW+lzetbXNWgY26tDZ42+Hl5rAN34Kfgnu2zsDLkF/+wwWcfnmexP8P8lGS+loK75nR3Iw0s64GkEdiUwZ32rgUhEPKNp31WIp+5gEo9NqK8pDsdHkaadqB53U0DHtkX0osCpiKTdrEb/LGrVfe1zCcNKOkhpEvQYOHKbZJf/UddvvDIkF/4yAZOLs4wnNZM+4JWbGjEEERu9LKv3EAjLws0pciD4Oy5HKjnN6YoAJ4DvXSdwJYki62Qk7nA+8nrzMR1zX6Jta555clnDzC/fsM752aaf9jvD4/+pTJ4NB6g/fplxw4++I/PnnoRrRVaGEwicjmRf8Csm9uK4u60WXe3LYCef2kxcUJE5UtXAZ7pbvJnV9dicxcgKwFwNpgDtlYO3J5O8L0E34up+RGBH9GqD9F6wL3PJPz2F9t8/oH1hKbN+rZgXc3JEmcBZj65Sg+RMneZvSO0HvPgi9MMQs2mhk1vuEkGTwNN4+o3ap7iFVcNiY0D+DASjDI3JHQj1zydWZwqBaLLPqZla6ybFrzvtX1awWk+8sUh9704x9mozqAmaceWprYO5DqNQ5RN4xKbgjwlhjR+yeqxJAWLT+4oWAY52LXEVAZ36eeZbDUXvMbkJyq7WYwBpRSPP/k8N11/+T9+6xtf9VSvPzjwrYyE+6YAH3YPc+bol/BrU5tHnQOv8eUiXi3AmBijRcm2S5k8rfMug9TVf09IkJzh174uvnSmdapfPJNBhTSxuY+rpEkBbtKa7xTcytViBF6E70fUvJBGY4TvD/ijuzQf+P31HFqYxQtqbGwJZoOEdmBpBtBMO+zrgct21tKEkKtfSdKVwMmTxW5CP/TxlcKXNg8w84tG4SUnaXo7jD3q3oiN00NWBy2GkUjHrblYwfOS1OZTqd2pcv+6CFxd5eN33dHnZVcv8Et/MOKjX55nOW4yCDyanqStXQ1OoMFX5M0QOkv6SPIbMssC5+f6AgCvgL103SpgLr+2JcOgfCOUbpbyzVN1aiRHT61yz8N7XrPajzcvLXUOPL/vONdesf2/D+DYhE077tjZXXr+Q+PuMzTrhthE+RiCApiiFHyIiS8rJkBcDhrFxBd+6bFeWUpZyIy9y8xt07mFJeZWiQO5F+NrJ0kCf0zgDTl6LubDX2jymfvnOHxuhnbDY7YGM0FCK7Bp6j0Dt0zBLfOkUC3V3oHvbpx2c8ynH9QcOFanpoTLGGaxCQXK84DbOh0exZord8DbXtbjt780R7+haUeWUWQJwjRuUAatZTrZixLIvdK1cqvC9nWSn/neAdftOsl//fwsh89OsRzXGXiaphI0UqD70robJ3WZCha3ebAuRLopTNlCnITIxJuKJk9/luluLnIDlEE+eVNkhBAazd0P7+XmG6/+0Hd95x1vWVruflOp8pIANyZECI/+0gNbw/5Tuz2xgPXraBPn6dqsKOdCYC7LEyZYupAixUWHiwM8kz6FLCnLkyyDalLXJGPvBE/FrnPHiwmCMb4e00tCfv0TPh/5wkZOLU1jVJ3ZKcWsb5nyDY2UuRt5+l6mdSqpNEm98xzcvstejqOQAycD+mHATJC6OFnSKXMlsotsSzUpkabd1OzaGqKCEb2wxdAX1NMZJH4qr7xUoujM9RDqIsGrYn5qwPu/a8A77zzLR77Q5cOfmmNx2GSoa9S0oqEFdWUJYuvYXDqpomVha2arYs7kVOXhBfnwpcBaIr3Kn6X4MBf4f0zpSIziyJkeX3lo325dq2/97jfedHQ0jqgFHhd7vCTA+93zKN2aH0eNTyycfsbTUuF7cV5hZisAF/nsjUxelBm5AHUpE1lm8vwmmAA2pNVu2V5TNg0qJ9nb5DMLlXTg1irB9yJqfojvhXRGIQ8+K/mju9p86v45RkkL3/eZ8wXTvqHpWxqBpeEX4K4FkiCQBKk0cYmh1JlIAe57LvN55IzlvicahJFH0LRrAsycOHIN7irzwkjheZrXv6zHx77WZ9/JJsOaG80w9ix+DF5k8EKTjrETqYyQxXCfDOCZx24kjUCzYXrI//XeAVdtH/PRu1o8vmeKhWGTkfLxPE1NC+oSApnaqJm9KtOafUHl4EJAv4DLVQW6qID7gmAvsXx5NTcVkAt8T3P/g0953/u2mz+xvNK5YXm1t/AXZvBWqy2Xzu+/9dThu6eSKMGvg5RxzhY2BXnWHmbLP09B7upGxMTdWtbopc6bCzyqAC8VBglTsLc0qR2YOICrJJcjWkd0+hEPPC/43S+1uevJKZY7LWS9RquumPYsbd/Q8CwN31L3SVnbMXc9kNR8Rc0X1HzSCj2Tgtu4lcGPUXrM/pNwqlNziZVU31YTJzmBp32QacmpkYShZkNbcNm2Ic8djxlEXjoSDfwQBz6VpBIlS9SAnKjTyG6ezIaMElcf/p7XD3nTy1f4+lM9fu/LbR7f02ap16Ajffq+xlcCXwoC6VoHtXS71ClRYnSRlv3CRXW5Lb2oWooFiAuWXgt8Y6txShaMGiswgBaWJIr4xGfunjKGW2+47vIv8RLDg14S4OHgeFDzR7/R1M81aQ3R2oGqYN+iXhhbAJ1Jzf0SrF62/iqgzt+kGdJScb6oANukzwlKJviZmyEjFnox9z6h+eIDLT573xTnu01ErYbX8mhrmPJcJ0/dI5UdUPdFesi05DTV3b4gyNg7A7iO8f2Ymh9ibcQ3ngw4dqbOulmBJ03R4DHRzY4lrd9Iy00TxXDssWOD4PU3DfjMwyH9yGMYCWqexY8di48jW1qlVO5XI2RFprhDFo0Kxvnt9WDMe1475DtetsSf3d/jCw80uPfZFuc7DYbCZ+hrtKfQQuBJgSclnrCp1LLOYaEkEUsAv5BiKQP8wuxdrOY5S+MKtqyFmLSeBZHfGFoI+jF846mTzTe/OfmN/UdOXQUM/0IA99U9+PTYtuEgUeQTxTIdopPpb0m5MD5/P1E0fyFAl7V2XkM+gXCBLWqVU73tnh2wRQpwrRN8HVGrRYzGCftOwdHTio9/dYovPd7m/EoTvBq67dFQkpZnaWlD3bPUPah5Dtw1z80kdGWmsnSI9M9tCnKTg9z3XHvaodOG544E4HnpMm9LKXpRoboyWyVpc0CcuHHO1+4ac/XWPntPNRjWBI1YEESWsSK19kxlnHRhQRZaJffZUyvSGJVOH/AYhR71+pgffPOYt9+2ylee6PMnX2tw9HSNvacahKsBcaAZaY1U0qXzwU35TQPOLAhVopSPuBA5lb4rlCVI1qRSZekke87sQTKbsdTEmSK/f77Hp7/6DNPTL20VXhTg+48eFS+c7P/ju+/94Dozltxy6ZibL4uRSqC0Io4k4dj1Xhok1pTBLityhRLoy05CuZAnS9Vmp6WcNBLCFKwtTArwhCBwk1TjJOHsEnz1bs2hk3XuebTOqZU6h043IQhQDU1NK5ra0tTGuQieJdBucHzgkYI4O2R6qBTgpJo7BbeXEHiOvd2NFXJkAfYcbeDJqj2YSxSKevB8Kc6bB2Ta5+hx9Y4hl60f8PzhmEHs0YoEYw1+OhNQlQAupUBIWWFyymxoSjIoSX9HoogSj7Hn066HfP8bx9xxXZdTK12+8ZjP4RMBX3mywemlGsnQw0hN5CuElG6lEOnvI8t4Fv7QhSoRJyVLmcULwLuTkjWvFL216RElEBmEFyNlzMsvH/GyS4dsX3/3uh/7vv/zH//bnzj8wdb0JRcUuhcF+Ic//hBRnLzvjz5ba/YH29i1ccA1OwfcefOIq3dGbJqJ2b3ToK0kCrNRDcUw+Sp7i5zZC212YY87Bze2ElA6KeL0tRckRInl8AnBc4cVX320wfNHfF48Uqc7DhiHAXg+qu25Dn0FDW2ol3zgQGd1GlnZrKsLD1JZ4vsK35fpDWAL7e0l6dB9p/NrfoQ1IeeWJWMboLXEl27WS54wqRJ4DvLEVvsdw9hDoJmfDZFqRD/yGGjhnI6oKBjTylQykDJP/QHZsCME1siCyUs9lF6i8vETg7HPxpmQ7Rsibr5kzDAc8kNHOjx/1Oerj9R47kiNw8drRLGCQGGlwghJJRuUQTwr0Cpd1CwJlF/ssiDPkZ919GelpmkDeWTQJOzeGbJlJuTKXSF33jTmmp2Gbeslw/H5pu3d975BX3/wv4nBP/bJL3F+qae+cM9+EUcBvcTjmaN1njvc5K7HRkzpiO1bQ669POSNLxvx2hsjsK4Mtd4k1eASYd1o3oLFnWFfKWooA9xmzG3Q2s0xEdIQhZbByP3Z0ZOSP74rYBApnn6xxsETAYt9n3Hig/ZBeai2wpeCuoKGstQUbpyZSguPlGNt3xMu6VEGtyfxU1kS+G4zLOeauJS5pw2+F6cZ0Yh6LeT8SsJXH2rR6QXMTAl06sXLEg4mH1lGLw8IjWQ8VqybU7zpthFfeXzI8U6ToSedTNHgxRYvyjzr1GOXibMLKc86kfnvMFaXfocDup8oEq2IPUWUaKLIS63UiKYfcce1Ma+4asw7XjNi/wnJM3s8hqHio19tcOSsB0IyGGqSUKXpTonVBcBtpTWo9IVFtnQXJreIQeS75yXUGy4hJzC87pVj3njLiGsuD9mxxdDSgrmmclvRjGuYpMnywjGhGreogy98Jb70mjd9awC3wPxs69dN2L++5SWEKHq6TpJ4LAxrLCQRR1YiHno+5hNfj5ificEYbrx8zHveMCKJXTvS/LThxmvHNGoWjFgbiFQY3KFeSugMBM88pVnquqq9R/d4fO7+GqNIMYoUZ876GKGJrIcRHmiNCDRaSnwlqEtLTVkCBYGyBMq6GnCder66YG4/68vMwa3SHk2Rs7fvGXw/K9BKcvb2/QilQu5+SvGZh1soXzu7raK/L87gmRfudLgkShSjkcfbbx/y2Qe7fPQbU/TjGs1Uh3uZDo+ypIzNu4WEyO6k7DzLktYvAdykXfDaMbmnFbHW6DhxQFcJSrlB+jO1mNuviLntiggrxrzrtQNGkRvn9uf3Bzy2x6ceCBa7imde8On2JWLSE70gulxpbbNmufGGkHXTiWt8SQzvfsOIGy+NsBbmpy2z0wJpFRafOHJblkeRxzjy3eZY4/D6+fbUryN4/7fE4KfOLbF5/Wz7g7/xp1ec78bKWmikw3qGwiOWCms8jIkZm4Rz3Zhzqwlg2Hci4XN3u+XGJoapmYRbr49o1Yzr2HgpPzBd4qQUrPYVjz/n0+0opJaMjWRstWMmod1YJKkRUiOlxJOCmnJebiANviyBWRYz+hzIRdHwoF0jQNZ4XAa3Y/i0rNbLGDwpHTGBjrA25NSiTziuEUxJ/DTtrQS5jyzKS3jJIstKFzJmTYwijDxmWopt60J8MWIYBwxjQV27IZhZDUmW0MqmhrmbSOa/K1stXfInG9/hXrueyUIaxXGSJsVUWuIQE8UJKnJjJrRKkCpm6zqTrhiGq7aPCO0QqQ2djuDx5zxWB042VUoQLwJyY6AZGG69PmJ6xmJjJ2NrUqBE9rkVcahIEp2eH02cpIOGYjeOulHrqWZ98YoNu76nbe1CV4j5lwb46bPLLCx1Pvi1Rw++9ui5Aa1A4Vtn1XkCRsYBzliNNen+NsYBPLaGjjFAAsrSXbWcudsUtHXRRrNq8bEVEpNtuUD6LFQR5EiJEm7mXiBdytmXNt2CxKbzTwrGy8DtaddR77beIwe3a+tyW6IEvsDX5CWmjsFTFtduTyBPx3heRBBEnFg0/MFXmqB9PCmKADOXJ2INg5ezddmQUAc2N1gnjDy+701D/uzeIS+ea9FPPBqx25TWVQEWI+9EuidP/rvy1bCUSU6HMBUsLkhSoMeJRGuFlyREyqQ7bKg0cZYUFqxKcvdKpvGQFhZhE9Y1LN/5KgPC5LET+fOF9FlmNAhs4mMikccMUSIZW2damHTGpItTVE4C2RxKISQ1vYhnn35tNHrFB7HxT3xTBv/oJ7+BksJfOb9M2xdo6Wq4VTok0xcQSjd8J5SKxCoSq9PaA1uIyzR4SLyS5npJ9halZ5k2M7hILYvWtXA3mSctvnBSQEtKz1lTbamQSFOag+JA7uuiq74AuMxlS+DbvKXN901pcE6Ml7K3ryOkDDl2VrDQrSG0JpBU5Iksfa30W1achPJYhiIQVISxx1x7zI6NQ/aeHTNMNKMEgkTgJRYvTnV4TO4sFZlFVSWL9IZyk3azHkhRkkYGnRgSJVE62748Y/JsSFAZ2AYlsslYJk+6lXMUiDQKENkUykn+Js+jlE0IM+HhO3C7QNwYlfbwpsNVjRvPN058zp7psdL/itu995sBfN+B487OCgc0fefdZe1GWoJnwLdpR4qF2KaTpqzIfczM28Rass7JC5W9ViLudCnPGM/5raCFy17p9AbT0uY1Htnr/DltMNB5KSh5g62vhAN7BdzSPfsZ0LPgk3x7Qj9tksgkiqedPvX9iJiILzxY59xCHW9K4WfSRNqqgzJ5kScLiSaSPqOxm2D71lf2efDZEd24xkBr6rEhTNPpShYFUUWW0VB0DmWBpqjWdJh0poqFRLnfqY0gVgKdyHQXO1f2kAG9mlCz+dg3KUxa8GVLYHe3sPsYRf1Q5evb4qK7TLdMbeQiv+JKQWTuNGVAT7LX+d9REMVEyTEupBAqAP+jT9xFu1V/1cf/7J6XnT+fUPfApOWNSTYaIJswlQE9PUz+2s2Zdia9yGtTLipOSgBYk0iAPIsm00yazivesqGdxfDObBRCGdj5HBSF60e8EMCzgDPT3TqTJTbV29Vact+L8L2Qsx3DkwfroH10Kk90qUCpku0rB5lZI0jG5Pm5lbknHkUeN106Zm56SGelwSBWNBR4sfsuKkmHJ0VlgKc5g/wXZfMhS4k3YwtmVIbECDwjSJQkUYZECeIU5LEsitdk6gxl1ZoyBbiQtpJlrkzKKktxYcsnoCjZqLwuMuPFHJYyi4t0LIUsTdxy/4b0Gy9bv+11rzq67/UP7LzizRcGuCAiHNvvbAb2Ri1CPF+nYxyyIS+WJBv/IN3P3agAd7GSciMDBZN/M4DnTmoFGDYN1CiVcBbaU4qiBzQDuVKkU2rd3/GUQOXdKwWws+Zbx96p5tbkejuzBB1jF+D2Uv2tdYQg4vP3Bzz4fAsZaHwp3PztvIKw+D5Fpm8ymykqFyrXmkYxHHncds2Qt93R48OfbxEmAf1EUkss4zhdqcorhjAIKVMWL/+qizE5GC3TMQ6CRBnH4hm4lUBLmQ4IKpg7B3mlZCJtvsiBXurMSYG+5rGmLqm4CQuAy8oKZ0rxSnnVC8OESKgbG4Pxd5rEPnBBBj916jTtdvNNn/vi1793ZXmReiBLYx5sMdPEFqMfjC11y1uRs325aCb39SeBXbreZaYTFKAo1yVnwFcia0krA52UwcnHQ2hZYvG0G8ZTVXC7cQoTzJ32bPppe5uns4aDuHREhET8yTfaJDZA5dnLcoBZ9DVmzkZFg6e7EefDdIx0o9CSLNjUCDze87oBf/iFMasmYpjUGCYCLyZncSktMhZp4ZlJ7cJJLSpL1mSpQs8IEp0O31ECTxkS7aaM6USSSItUxqXrpXHBfQboPKucfgaoAJwS0C/2KCf+8hIPU7rxs0I+I0hsFdTl/EGUSLoLKwTt/vdec+Pr7jl37vRXNmzYXAX4UickNPrSAyd6u0+c7dJu+Fhr84E9RmZDW3AsXjlRae2ApcLevIQ8ycOgiY4RSZX9JuuSi86T7H0x2yPbk0alskSpiWE3KbC1EoWTktuBruPeNSbblLmLAFOX2DvwQp48KDlwuoZVHkpKfGnQ5ZsytQlzh3DCRcmObHXMLmZ20ZJEEcUeuzdHXH1Jn4f314mUzzAW1KQbUKpjkRZBpV04carDkThxOCmLxERwW1w/nQJGGZtKlfSGTdw0YKVkhb0dc8tKXX6FwcVL63AoldSWq1FNwehlBs9mIpqk9Dpndah7y8y1lnYHenCpCoZfWcPgC4vLDIdDxsNBvsxnAM0mEql0UpGy2SDMlKll8feqxe1FovaCAC9ptHJSJAN5pitliakLySKK7nlB3umSMXm272V5++8M4OXhP67bnhzYebYyZ+4k3S48DS51hCXik99osLRURwQaXzp3R03q78kAs+KDF7VD5Tru3Js2iijSrJuVvPv1PZ482Gac1Bgon3ritHilnDUulbJiUk88q/hIpcqEHjcl+ZlNodKGVCplK5Jr3lYmay6RFblSXCdbuWZlgFeL6FJfpUJ8YmKFqd6MZdbO5ElSygI7400xHkcM+ivEUVFcmAP8k5/6LFJKVlZWmZvWKFmdYaLSf1RmE4uEA3pW+VUFdqnO9yJWaH7hyxVpFXCnWeASWFRlqE8xc9CxdvHsQJ6Oa9NVgPs6HQDkZVsHpkkhbfHyVLxJXyeVQyvXufPiMfjEXS3G0kdJlWYvqzNZJjOYF7TKMqDbCUZKGTxONEGiefcbR/zulwY8e7hOpDwGUuInJnWPBDIpE4FN28vKeQeT/q7qvkVlJi/AnU36zeIdg0yyERNF91TetylLWrxct59/d/stnYML9RPkeYJce2fjmykBPvu7NQ4cPMrpM0sYU0g0DbC6fIapmY2ND33ow7uef7GDtCqf7hrnk0FtvuwmAqx0DK7KTJRJk7wq7KXZO1u6yvrbdXJPglxU5ElWZ52POyiNPyhPbdI6A3qqvdUEuLP0vZc1Jhs3MyRvEUsTHzpOjwjlhRw4pemFPiidyhM7UR478b0mXZQSW+VgK6fSTTnxo2l6giu2jHj2QEhiAobGp5a4mm2danAlbDpLRFCMQjZkQWbB5EVZczaPRqeTDbKJsSodluniGZmOubYUxV1ZnU3RMpizdwZwWQ40s2u9Fg2TLYumEmy6JFU+sjkpgB2brMw4Hb8RS5Z7sH7T/K73fs+PNI4e/6HBzu1bHMAXFs7R63XeuGvH/E8dPLgX09CEkRvoqGI39jgW7s7OhmkaI5CZ7pYZsKsF7ReSJ6L8XNTn5JNNs/rpDCjV4ZBFA4ErFy09l5hblmRJeRdjT5F64Q7cDsDFUKCMwT09wd5ZX6cfstwz/L9/2mJpWEMEnpMnsuTulAf9fJOMdX6uTCm4yhk8zdrFmnZD8w++u8fXn2yzNPYJpWYoJX7eQ1m+uazLJ+S19CYvo7WYFNwGi6TqrLh/y1iLMk6iGuuutU535ciakqssnnn+RZ9sBvaMwLJVOn8/cQ5Sni9W/AzcNrUFJ5NTJtvsV6RbkQvGoWC1F7Jh28xPPff83gdG49Gf5Qz+wov78H2PY8dOYExC4Gv3IbOgJU4/eOLYWwiLEUWA5FqRihFck+xdVinVxE6Z7URlWV8D8NK02ArAVXXIpiqBWkuJTiWJzgGeaW6TB5WeNiVwJ64TX1XZ21MRvh/y8W94vHCoDtJDSkkgS3amqGrw7AtetJqwxObFWOIC5LFxLWdx7HHt7gHfdUeX3/1SDaMDhtInkKJI+kyAbZLJRZnJJ+RALlUUKOtWBWMFyriA3aRxTiIFMh3mnwXTIk84ZbMpSxo8Iy/IfXBRAUGBlYzNL5TlNbl7V7B2nECUbt/utnKHKI44d/YUge8RRWEhUcJYg3QbqwoEnpeeDJGkpZfGtVu4BY5EFJNjjSg+UPnCFbFEdpJFBe3l3dcqQM8BXmZxUdK3ZYA7eSLL4JayAHie6MkAbt2c7FSKeKoEcLWWubVy7O1pN7VqpWP487tbLHYCqHkT8uTiEgUxUUmZX9AL2HblTpxUokSxZqat+FuvHfDZB0cs9QNCpRkmMrUnRdFSljNopZ0EUvbOfmRyNi9mQSqb6nAl0DZzzordMaR07C6ldWCvjJcQBeCxaVVhdh5snmEVOdhFfjJymZJJltJnqso3coC77cYFYSQYR26fJ4BWw2NmymecbnyiTxw/xNTU9M5nn3nqJ/cPztNuaqx15Zdu+UyKZS2NGIWxGCEwwg1LNNYiyxetIkmqyY3CHizJlFJ6vgC5WCNLRHaiRVmeiKLDJWVtVQa2Kvai1xlzl4F9AXmidTmpE6OVy1weOSrYf6yGIUBI555oUZQOVB2UardLRuPlWpTifJXS1OVNn9KaizjRYDVX7gjZvWnE0t46NvEdiyep519ycXJQUS70ymqEZCk/YfLa/TwukMXsyCy2MRJMukoksupm5StrHlim5CcLMGefw52GAgXZfzNur8xRKWvx0m7McQb2mGKb8SjdWjyGQ0dPs2XbpT958813PL1//8GjWsmEJBlvbDXiN7WDReq6xmAMDAvNo4zFSHeHZzAVthiOKNK7rjKVKg8oCoCXwX1h9i46tstsXYC9OtQ+f1YFg+vcBy8f6ZbWqgzuAuRalYYEqYK9Vfpe6wilIr7wcIsDi3XwC3lSdk/EBHt/s9LoqrVaSlWXExlZGW2ouWRdyFtvG/DYiw0wHnHitLiXpEM+k6pUyqVKTi2ZbSgpNhMQJbbMxl2LPK5y4AYjRa6/s9fCVHMThVEgkMbmN3ZFj3NxyVZ+PRkf2NT0yByfxKYyJXbgHgxjhuOE46fPcP2N0Zv6w9HG0Tg+qtuNMZ7vs352yKXbeix1FMsd7ZpgQ7FGOmR2nUkbGKxw7F3VUiUUV9icSmCZMwykUXd1PnUhTUQO8nwmyAUYXJXBnc4nLLbtYA2wvXxuYVIKLk0K8tjJExVRb4Q8vE/xZ3c3GY58aGi0FHiiKk0mA8xynHFBgDOhvycsw7IvHsWaqZbmHXeO+NKDAx7d52ObHsMkwBeuklKJND9QCvYKxqyC3FZWVlM4OsqxeSKdHs8AnjN3yugynZsihCvbUKXvvfZmd7+3smpf5IavrnJF4Jlny8tjtdP8zDhK6A5jVnuGY+cM51YN/bGlM7ToI2cilBexsjDC0GPreh8h6vSGkmLOc0G9UrjTI2WxvFbswDUSpXhxQQbP5EkOCLFG18kc1NX3LsBMkzsyW1IzkGdlsxadjgsuDlMaqVzMLnRs7Q6lXIDp+yFRmPClhxq8eLwBnoeQKgVVFmAWW4EIWWXxNZIsO0e595vmEMxaLzw7MrswDDVXbY958yv7PHO0zjj2SaTH0Cj8hOKzlKRCIQKqILcTnwWV3WwGowQqA5IUWJVKUeOui8lW12zgabrRQX5jmcnrOilTLoCPC4F80jo0JfQLm073cqOWV3qW04sCoxM2rBuycbaPr/ro55/4GsZ61LwFdq1XTDWWMLbO/mOzdAeKODGYxKYtdTaNil3fXZ6pvHi5wQXYu9oAUAZ5Flxm7J0Hm3It0Msjf1XO2BnAi8mpuUTR2ZxwkzopJgW0KQE7Ze80uNQqIvBDnj8m+MqDDQZDH5oeUmSVg+WamAtkMUuyq3w5s1oUh67qdN2cwcsNyWkBVhh5tFohb759zGfvHfHM4QC0z8hI/EyLp03ohW2H22E6lSskZbAXwLbWrXy5dJGOzbNVJU+ulYCeZZSFJN//NJsxDilJUcqwykksvPRjzbiJ9BDCfVYhLG0B3YHl1ErEia6m4Qfcfc/zHN1/gmEYo6fr+7BW4ukhnWGHLz2hOHBC0l0eoUVA4K1dYoulRlw0U1n+uxf6/6r6W5SWthKws5MnSgyevs+A5VyUYnikTt9nzK3y+eDZyOAM5CYf0FkcLluplUvqeF5EbBM+/0Cd+56vQ02DdA3NfpYmL4OaiaP85iIXcE0GOGsuzx0VWQH6eOTxmmsHvPVVA144ViOOPaxQDIXGS4rPIwzIpLAKqx+jyuTl0gqlyladG1FhbbYVZBXoMq1RkqbsopQswxKTAymz2zUr+UXxc4FcShZXSAGesMy0LJvnQ3bvWmTPKcP9zzZ58dQCJ1c6JMag/8XvO0YahQGrvXX0Bg1863PZRsP8VIIQLmEyOYIs/1zyIh8u809E6e/moF6rvUVJkmSbSOU6XFaDzLzQSlECui0x+YQkycFd0t2lwDJzTpxj4p6VivC9iKePSj7xjRbgg/QQQuGJrMnCFn5whbmziyryM1Fwd2GXlh2VvCbEZsX86fx1lY5+yPeJ11irec/rhnz1oRGPH3KTBCKjGCQiLfhKzw82HSmRBXxVe67M5GWgZzefysowVDoH0WYMLoqklqX6/U25kjJl8FJ2Og8yywz+LbB5ke53pQEqbWypBwnrZ+GOLT7vUF2W33oWZB8ha4BBx6M2SgqiUUQ0CtjQgOm6oeZl243YPGisLLkTH2pNICWKyzsZbBWDaiack9Ray5m7Ik2qEXu5ZDaTJNm2JW57jgLc2e6+GWt7qvqsM/2tMv0d43kxURJzz6N1njtYB88DqUuNDdULW16eL6TBJ/nTll4UO2GUnINydWHielRdKa1mHHpcs3vEa251LD5MHIuPhc/IgE4yP1wgUkkihE1zGWtB7kA8AW4JVtlci0tp0teZPBU5ixfMnZ4PWw0ws3wJYiLDWSK+NUQ+eQPYck4hlcrp7xuFihPn2rQbAfUgRKo6iMAB/JJ5t6fNcGhZ9eM8rR14TtPJMuOWA4cLBg0XZ+0CzFmWrfi7GaDz7f8yFp9M05d2LMt2OcgkSdHNU4BbVQLKkhTRxXhlrRKULgE8lSi+jjhwRvB7X2oxjjxoeKk8IW9NU5XMYck5qSxXk1euwFYZ6GWZknWpXFyLa5qB5AfePODz9zXZd8rdfIlRDBLlqgyTNNuYglsk6bmnHHS6X16xd5Vj7vwzpQGmsm7XvHxFtemR+d5WpJKkGmw7U6IAvMkIT3BxrKSrjZj4ebYSFKueS/yMQ4nAJ4wUQgQgGgjpAK5+4QP/fkPN1//u1IljV3ra5jv/uqq7bAPV1LEQRaKluGNFYePlYBSl4DANCoWccEOyYFGmFp+setoTrkjezJCBWTMRSJICtxRY5r63yeVKtdaktPtD2siQHYkM+d3PNfjDr0xDEICqoZSmoSx15fa6ySoTvazJOW2NKzKpazOsRVlvaQXKY4nCdsyq94QkbTrISlTda2EN2zaGnFqUPPGcTywUCIUVCtegbatSsBTgV2jyQjogg36upiZljJ2QNBNz38s3rLlArJEBlPKNXXJOcneuaEqe/JwyY/N0NcnG040jZ29fctn1G6++7vav6YWzx6fDce8tmIhmTacSIgOVK2CSqqqBqzJlLZNX07IlLzRj6zKjl5yTIsFTbnaolqGqNbuoZfq7lDKv6O8M3Nl2JjZn68wKzGSJTp0TT4fsPy352NcbIF0ZA1IVnfvlOKD8GWECUFSY3V2NKntXgVAkXrKSUF1utrVp+l6lWjzRvPf1Az5zT4M9J31Ix6qNjYcWrow2P7dJCsWk5KBkEqXgcsp7JqlUviibPbu8Ry6lRBZsut+TWYU2lWsi/Tvlc1HYwdWYrhqjFXiaxIrNphunn01k0wLSxgwEmCRmaXn0ltiem9YbZhLM2DDVdD0gAiq61zF3AfA8KKxozWJtESWAl8Fd1t/5z8v1JpmOKwFdlX5e7J6W6e8SuCeAXd6AqpApTnOr1BpUJYnigF2APFExn3ugyZ4DhfaWQjrvO+2gmexqn8xglllzkitt5fVEA/KkJ17uKk8kicxS+E6qXHXpmLe/qs+hjwWEiQThhuMMEShKvjgCiSXKdUHRWkY5l2Fd9VDG0tKWA870ps7sOpkGocJlPjNAy0kdXlpJzMS5ym9+LgzuMs4g9eVtaQMz0r4EIdyoPwGDgeTIKWisGvTcdEivG2Gxzi2ZDO5KGrm8f2LxAcQEexe3oqRYRqofXqxpZqhmMMusbSvBZXWbwGIvzArAZSm5IwvtnaXe8y1OSnPFlXKTaj0v4vAZxX/5dJuR9FIGrwaX1bkn1Q2xqpR08UdRGkrOmsVrwYVS94mRaW+iSqc8eQRJzE+8s8+f3tPg0GkNKsIaTSg9hkagkuyGs+mOaeUSilR/q6q7o0r+vHIRZVqMlYI5rT2SxjrApWW2mR43UlQAntWllPMdk4y9RgVMYCrDh7Wkn4F8r3slC3ns9vu0DMOIWIboJ/coFhclYQhT7UJrV5IuwqG12NBUVMBaXU7KEmTtTZAHIHwzYDvwqNL7CrglFWBnTK5VyTWRa71upSZck4r3HdINDR/+bJtT5wNQOrUGZT5gaLKoqiJN1rBTdfvACwI9lyoiB3rVRclS+OUpT2l2UyqSWLNlfsyPfVePX/o9n07kAgJrJGOUsw0TkYO8HGwiCrmS62oyH9yiKG5Ald2AkryxRcq04SUFty25KDbtLJIiS9iIopS2dG4m2Tr/WOm9mGHJTMgcYVM8GkhEVqbrKkgDD67cIZiZEeh1UwoizXRbE/gyF+9VT1eU7rbq5qDZIlzxNks3weQyk4O5DIQ1TQ3kXmdWa7wW4KlMSCdYlQFeBrdK3ytdsHbG5hlrq7Ri0AsiPvr5gA99ss3YeE6eCJXLk6ypWFU+Z5UMKucsf1wY4tWKQi4QqGVzQSzGmLUpfOO2Aq/pmPe/q8/+Yz4f+ZwHMgQUiZCMTOqmJNk1yUpXy2XMk5VOorj5pAN69nlkyupCpjJBZoBOQS/SnwkqGlym2r04P3aCxSd2cZtg9XJcYwRp0qgqk4WASMJgqFhY8Yjw0RvnFVoozkx7JEaXqxSq7FzS2uUPVv6Ak1LlguCeYO7cOy0BuwC7vQh7F90lZWDLdFBNDm6ZBZQGLZNcd6tykKlilHSzBpdX4E+/3mBlnIHbAdyT4KeTtcpp+ernTvV3tryWYV3CdxnIkyA3JbmS71FjSkNwsmAz1eLKKEw6kHLKT3jnGwZ85oEGSz0FMgKjiNCMhajWqVBco4KpbOkzOh1e2IWu7oP055lEyfWwFI6xJ4Au8rjKSRshqiW8lVW/kuEUlc9X/rwXYvsyl1gL/YGltWAYxgbdCEIGQeyup0krqPI7qfji+T+SAX1ySYHKXcYFQF0BeKk4qaxli0E2peBSpB54tqNaObCc0N7ZBrDudZLuiFCk4lXpKALLCK8R8/m7azz6XB1T0t5KylJhlZ2QJ6UltwyY0lHB0JpHSQeXEj5F7cVFqgytRJV88Tjx0CbmFdeGvO3lA/7gCz6oEITECsHIaFfeQJZ4Ljp+1nwWCtGSfWibZ6XIWTsPRFNNXnFQbOakkN8I5W0IZZq1uZD+Fqk2KZ+zCvAnJN8k61sLYWwYRxHjOEQfOGFZWTZ0+4ZWs+RyVL549eWaxVdUL+LFQF2RKKUi+YINbckmrL5WOYtXgS3LHTUT4HavC+2dbzGYyRPpjsCLOHRc8nufb3G257v9rqUb9K4ErmtGuOxgpfZkzSEqgF9zsiYelUQPkxKlXPCfyhRr8veJSUGeSJR0259saCb84Nv6PPBcwKFzEkQEKAySkZAoytLTVgisDPIKk9tsJHLqosjCNszUTOagIFNgTwLdluzKCTYn/ywZc9s1+CsY2uaf8oLwTKXiVFNyyRbJunUS7Wkf3/PSCauFT3mhdvjSjbzmwq1ZNtIf5pVlE0vWhYBdBn7moGSMXoCbi7D4BcCtynq7BG6ZoGWMUm6I5jgx/ObH29z3ZN31tknttLeUaddOqbG31IO4JsAsn4eJpVNMnLK1GcyiyjADT3W4TUl/W1MCuSJJDLHUqFjzmptDfvw9Xf7Vb/qMY+kyUEYSC4+hKLKNjkGz/PdFQJ75hEAxR9AFkDKVMDadPuwUTBZY2gmgpxImL6aza4gPSuW9FYDbAlSWyZ9W36TXxRgYjTXjsYfetE5SV5LekrPuymxC+Znq+0l0V3TSJNjLy3kF2KnmllX9rdJoOwdzNo9j0j2RNp+ddzFw53ZgbhGWgksZ4/kx33jc4zP3NRiHHtS1095S5eydb6NXTkBVWLwcaIsKoNdmD4uLUk632HR9rU6dJR+qZC1uqpOUqERiZHV+draTWr0R887XDLnrviFffVyBihyrGEkkNGMKR8WNy68WXa0BeXbzyRTUpBIlNcUzwBvhEkPC2jzRk2nvHPC2BO7S+YMLPK8hUbvmKfPtIZuk5n44DiPOLibEGPT66RCfiKWphHGkSbIueVuwTFZwXrkoE+ejEriUgS7L2ouJL2erjC1K7knFOalKE3cTmJI9mE1BXQtupRJkyt4ZuHUKbt+LWO1bPv9AnX1nak6aCFcSK/LEDsUEqXKN9UVu1twNuLjwruLcIST3mitDlNKGiHwYJdVa8YzFpVDIxCClJhprrtgY8bY7+jy6x6cTSgdwUj2OS+UrqILbrgV51oyRS5S8OItUzKdBZ75Su+9vBUhs8fMsOWjLfZuplVgmxFTW5J+gxAyVKWlp4FuVdcUU5NVezMJqDF6C3rDuPJIunk7y4S5Fw2cxZJO8dkDkS+vFmDzXeBfT32VJIkpLfvqzIktoKiC/kAbPJp86Fi/LlmKudSU1nzG3jjEk/P4X6nzo022s0M73Tp0Tx95OnlQsTEHh56aSq5Ak6UapeRh+EYxPrpJQuliiAvSsZzNrSLa5VWjSgZ0KI00uV6LEQyrD+98x4OBpjw99RhPFaY2BkRgEYyHJto4ttLBFmAmQW1FIlPxPHCvnn9tax+jC3S4ZW9t0pchS6zkJVIBegFimpnfFXq00apLfcGVA5zvj2GI2ZpxYVoZjbG+Avu+peQZdzeLqeaZaaRBQLt005MNXZAnslguDPK81mAB3ztiikCOTwaYq69sMzAInQ0QJ3Kq0P70s0vFSlnV3ob11OVuZBpaeH3HwrOQz9zTp9z2oq5S9dcHelXEQ1fFyFR+/9D3LP/hmSZ7sGl74KGUxZblGJZ3ylFXzGYE0EimdFpfCzTRsNRPeceeAL91f5+CZNMWHY/PYCEYIFziblMnzz5rJloylRc7dKsd9BvWsdDbV4jigSwnWZDpcpF04NndTZC5XIJtCW3jk9pucpwzIxWTj8qonBMy1NTdc0mTjxjZ6y/om3WBI1HOjE7IbyGRzo1Ngu45mV0CT/7Lshi/ppknbp2wBTrK2KEmTavBWDSjXSJSUrYs96ifBnQI6ZW9Z+pmUCUpHjCPDXY80+fpTdQhUGlhq55zIgr0z/zhzUSZLQS+Wrfzm4uSCxF45qDgpEwPis+BTlhI/QiGNO6Kx4g03hrzhFUNOfNFjbCSIdIoPglhohqYUJ5Q4uuyuZPGBrgSeGeiKVD2mCEAL9i5ZgsL9fZlJmEy6WnfyMh89CzizGy7T2YWiyEZ5u38vG+9t098vBIzGhu5A0Rx46J07N62eO93/Um9J/e3EJHlQnW0gmk0REgiStKG0LGEq1mFZilAwdrEc2TX2YAXYuR5Ph90rS1GLYvOy0QzkWVJHTliBGdgLoMdpYJnOF/Rj7nvc5wO/M0ViNWgvrRjUCDlRVJVbg5kHbisD+9dkZcXam/yl2LvMThmAskaTauInlSkyBbZwW3zYTKoYiRHOG5dGE8duf6Gf/uEu+05q7n1MYvyCxa0RRChGpM0RlnSrx4KdJzW5spZ0SK0LNkXK7emYifxnac2KTG1DW2qEtukscWtETnbOzEmJwpL6i6lxUk6EZcNgjU3nFFri9LkIMi1SaqRufGn9hi2r6o5bN/eXlxcPCcGP+3pEzS96GaUovlwWDGWYzu/6kj4tJ21yD7sSMBb6u6gEpABy2SVRVUlS2IKZW1Job5U7JUWtSaWwKmtFUxFaRZxcEXzg96Z44KmmK1yQfg5wLd387aBUGrumdrtypO1birSmvTTOQpZq3tVkX+lE84ZwxW2idI6Km7+UMS39PKueK865LdmwFmEt6+ZiAm159Fmf1WGptiD1UQwTA4rK8UPl9YXXJXGRP8tvjZJev9D/VSkYyMEsqgRASYak041jY4lj11EfxpYwTmcVJpbpVo3lleUffPbZF/fp2amRu6tNiCRys+iMIIolo8gV0Re7c1U1VZ6NKmu4PJioBmOTrC0uIEvWDnesWoTZDsIqTeBkrK5lNZFTHFXdrVRMEiT83men+LO7m9haobvL7J2PY8vtwGqD8aQ8ybO7JQ0u1lzPi1G5qE4nsOXnyY77UjubLG31YSdqVIREJopEaOQw4Z2vHfLiYY8P/rYmrETFrt9zZEQlMK5CUhTlG9IxbyZX8oaIjMlJg830ZsxSslZWy6SzDv9sAq3ExXkZg0/q8HIyzO39ZEkSm061cs9hXNwQyrOMEoMxBj0/M3RfyYRg+0jpOiNGoUYOfUwiCAvfa/LSFDdpaYmu6O6UacpypHBS1uruijUoqgGle2+qLJ69z8Cd24JpQkfFecWgUglffTzgd77YZJSkU/BlkdhRqTTJtbeset+V73Sho8D3RXC9luUKZZIGcxOyxZYAbTPtLUsJIJmCW1hnGSYSIxSJMAhjkEYTeIYf/s4+Dz3j89WnZOqCZPYhJGhGZCC3JaiXs3o2fxkjUKkNCKkvns4skVkXsiGvPJTGgdpmWlw6G9FNxhJpQVY1g2i5MCXknyx1S4Yh9MeCQSQJ06aRCEEjTBtGWvUu1iq0GlD3lwFJHHuMwjqLsslorItin8wPn6hRWVtIZasZy0qBkvuzzBUROZCqgK/630XLVlWiVI9s01KdbVyqYqRMkDJG6YjBGH7ht6Y4fCrAZuAWDtxCiHQPziKDWt4Ea43evgCw83x1dorWIHzispVzCxfKapa88OrOB9WNq0xag21MKQEkldvV2GhkaLhkc8TP/kiHh/5ZQG+UfvA04HTOisKt5RPOwSTIMzAjUlst/RuC/M9s5oGTBZDZr0kFSVr7KgWYbGB/dubS/H7l1AlKf15M7ooNrA4lp3qCQWSwxm0pH0lNy2o3NuI//tkGtNYsdzocPxMTRobvvLXPq64d0woMiWkyHEnGkcgnyLrfUwQk+eeYAPca12QyzV0KLKu7B+D2ZxQlgJdckxzoqgC1zFhcuV14lYxTe9AFlnECv/apFk/trTnPO+1hRLodlJVwFYMusTMRVIoyi1+AsfP3E5MHEBVGr+Bl4mdlLzzfejFNZpjSBKxy8VV1lzaJTf1wISTCSKRIW9yERhrDTVdG/IO/0+E/fHyaMMlYXKRtOBBbxdBkn3ttOW22yqhybJa1kInMRSk9py6LTO/5rAPfyDRhlIJWWJvuKlQFeU6gGd4yspSAkHRHhjFjtm4acOf1q3zny0f0h4pacyt+bRprYvQ73/oDzEw1ufvB5/jS3Z9nOfZ47EBEXUe8944RO+clQqhKHUbZ8svOQZmdy6wnJ5yTSaae1Ny5LBHFnozFXo0FuKXK3JOkytylQ2YSpZbwtUdqfORTLTpDD3yFS8d7IDRCiFR7l+tfJob6THTuVMs+C3158QCtSoSTJRD56zyrmbkpINOOdluSKW4KbFqEJYuOH+c3u62wE6Hc5zYWGSe0a4YffdeAJ14IuOthBY24mOeQQjqS0ulgK9IduScTQCL3wd3HLZg9R6gpGN3ZG2UKxm0Cl9WlS9IBQg7k+W8pnbzKvJy0nqVZl8xNG95yxzLffecyvgfCtji3GDC/4zuZ2XAjcdRDb1sf0GjWuGG3xyuvsjxyECwBU4HHngMNoqFg/aylUXM7k2UTpDKLsCisqnraGZgr9d0TQM70tpgIKHOWFkWtiZxg7lyWiNJe6uke6rkOVzFSx+w9qvkvn2hxcNFLZ36VGFxIt0V4CuzyTmm5zUmVwSebi8vxZdkqrYjxCWVSeS4HlqX3ZZmSzafJS2eNSHshU10uCuAnKXtLWdSpJEIjI8vu2ZifeHePo2c1B04JrM6Q5z60tR6hmegklTa9EbJgUxTFH9JJDpsaDTb7GWTTmvMC8XRac87oApuvHhnIwWWDbdorWl4l3QQzgecpGjXJxjm4fPscSysBzfoIsDz8fJNL7RTXtpsM+ha9fl2E5ydcvmvArp0d7t0/x6YGzLUMsy33pcaRwdOqokVFqS4FUV6+bUmWlNySsseduyYXd0yKdLu9KLgzYBc/KzN4jB9EnO0IfuG3pvjMNxpOd6tqYClT5vZFKZOaB5kvVRpL0XpXwsLFvJILShNYI08m630mM5uyUkZRBJrSZhs1OcJIhEQkjsGNsY7NE4MnDe987ZDOSPBT/0FxblVCEKUWRcrkUjM2ZYinetuWge1eW0gli0g1eOGwyBKr27Tzvsz07mUV5Fbmi1iJPB1rK+m2pvG0IPAcNpe7PlJarJXMTq+y7/Qy8fSYrTstKx2DnJoOqTeTs+d74VeOnJ+jKS0zTUu7LqgFzr+FdLvu0mZTk3Un5QYAuSaAXKuzLw5uQ3UvxnJKvhpQyklgp8kcmeruEMPnHqzztcfqpVqTrKDK2YJZt06+HWF5JboAqCWFxq4wNiWpUlYk5dU9p7gLgL4sWWxW8yOqTF4K9POOn4l54hXbMG9QVm6PeqNJYo2wkjfeOubtrxzgixjiGGwMpjistYQGRkYQGoiMIDLZEPpiRrd7JreRjRXF63xwPemGt7ayN2deZ2PX1phM3uwi8+szyxGIExiOJJ2+x0o3oD+o8fpbp1k/F37lzGpwtjMC9a9//jcJ5u5YPXGmvtpbFX933D3HuilFoy5p1CSBJ/G0chuq6rWJjoLtJmu4SwkeUZUf5RR8lsQpuyVFdWApqFRlp6SUpSw9Z+6JVjGJTPjz++r8mw9NceRM4PbqFmmnjkpHQZSSOllZbDb7JE9ClZqci3Fx5RmJ1dfF1NvycKPJCbmk3UoUA5TSfzd7nyd1Jl2oUnKn2tda3Z+ykEmTU7dcWnuunXDVpREnzisOHNcYO7EcCafJjRDVIrIs5iiz+8S9W/3zkkyrvBfVl/nvTX8myzNzROXcKyXzmfBZat9tfw47tl3Jlbtm/49pb/8jt9z8erdHz1QtJAgEc82Y9TOCqZbC9wS+V+wMPLn/TFmSXLAyUJQzl1XpUcnUlTzuwiWZ0N0XA7c0KFEweGYJen7MyUXJRz7dZN+hAJoFa2fSRAiBJk3Jl2/Uyop0YRs00+S5NiwHnS91US+iWqoJHnthTU5546hSEGrcjVQ4KjLd/S7dJFXKNO3vnBUXeBqiseHKS2J++B09HnvO5+hCSQ/IzFkRGKMYlyRJ7lPn2ppcn2c1KU6iOFljM9mR6u989lrWuJmdCEPayJxuX5sNE7LOZcm+e5GqdxtPyTRZFUaSrgrwmh6JEsSxE/oa4Nabr6Zer9PwLb2VU2jt7ppsf0mtRWXZXlMZKKsgFxPyo+pzXyChI20aLH6r4C6kicwKqNJspVYxyz3Bf/rDNvc8VU8bGEqBpdSFLZgWVFWLqqh06lTtzmpgmWfmcvJxxtc3wXUV5CWZkhU2rVmmS5lMmTsoLvAUJUniulky1nX+uDQWgyVxc6qcJhfG1RUNLK+9acw/+r4u//a3p1kZpl/IitK0TNzYZjJpUBINFwA5MnNJ3N+xqVde2eQtv/mLpJCQ6f2Tvs4qWUV5klZebGWJ0z1BLW6vnv4QpKhxyZU72LDlWsajEWS/dtvWTVx/3VV31XTnA7t3NGk1FbVAlxg82xS0LEWqTLemA36CudeCO9XRpZLXAswvDe7c+y43EacafCwtv/npJr/1qRa9SLsPLUraW0hkagsGIpsSWwJ2Jdt6IR1+oUFGpeW6FGx+60AXVRavgL04ckY35NWEFael1NqWMXo+LKh0JEanelzR1PDj7+rx/u/uUrdxWjYag40KTW4TEgMjC+Nck+M2hLKpJrfpNn9mUpeLPH4rSg3It4HPCqgKDW9LXr+t/D/GWEzi0vRx4kAeRjAcw2rPcn5V8cL+hQ9s3nrFXe2ZjQXAt27dwhP3/F+DK7a9eGTbpjFaylRzF7q7GE9crh0pMbUoWsnyIPMisqQM4mzP83JgWbSgvRS4S8GlSJAyAi/hxUM+f3xXk26kXX+lKGRJmb09UZpzMsneF5AkRUA94YWX5EgB+CrQLwZ1e6HnEnOXJUp5M6bKttcZqK0bDlTJcibOJsxuhiRRrkEiCzytJo40LWX5nu8YcNXuMTLJAs3Egdxmrw2xgfEakDugZyA3BuIMsGWQmwuAvBRwVpo7smC0DHqTukHGgTtJDFFs8yOOLQvdhK89duzI+97/s4P5+U2FRAHYdMl7qdVqHD77GGH0HEr7DtjS4cQN48zGpZX7JanoaVm5ASbBbai6JROSRBTVgXIS3KIA96TmVjJG+4ZnD3n8gw9M89yBAOtlPnepoEqIHNyZ9i773pNZyzV9pBM6e1KfF8VEFXJ+CX1SPJcwnUoXUdmeMZMzrnXNOqkibG4dOi0ORohUu6YJG2MxUua7UidWIoxNJYxCYEhCw3WXRvz6T6/w4/+PcPPQ/bJMySJITWxkVZLkMqSQKDYbQ1VJAE1456lcyQJkY6onSkj33dxnFSRksxSzcdCAMAjhZLQl4ZUvu4GbXvYKxuMRH//QL1R+Fa3WOlrteZpNSRyPiOMiUNQq29GA0vwRWx35qwoQV2u51wI6T+J8K+BOkznu/yk0tyz53dqL6Vn4jc80efrFgESpIqDM2FvIvN7EF1R6LCd975eq8S4HloU8uYA9SDbd6qWFSm675lgXOUNn94ApS5RJBi9Lk3x3iLJtWPRumspRsLgxGpFIbroq5P/3jj4tGTsPLmfwjMUTwBBbx+ShFSWpUjC5u5EKGzFncvtSTF6wdtlmdJu/umrWOJUn2WGMi1V8JZ2cDXzm59cxNzeXn8+cwTsDHytrB88stw6N4+buukxQUhc7BOuJMcUTgy9zXV1OuV8oyMytQJvLk5cEtywahstVgkpkrWcJgwQ+8pkWn/hak7GsFlHl9SaykCb53vIvwd6CaotaxTG5YIBZBvw3xfUaJrcl+q5KFZE7KwaRT3s1Nntdchgy5yG11rIAVFiBSNP40ki3HXvK4olQ7pclFl9EvPv1A/Yc03zk0y36Ee6EpYFgeVVKpGRsnJ2XuyslJteTzP1STG6zP8v+/3QzClG8LzoRTFpgS54tT0zCzi1NrttdP7Rx1j84qkf5R83a7PjVf/+rvPo1bzjUajTXDwbdO+OwS6uhCDyL79kc6NmA+erYBqjWjZSCzUlw5+z+3wruwjVxhVRuF+J+bPntzzX5f35rmnPL/kQJbNGpIyXU0qSOLwuQa5XKlGyniFITQiHFCv+6cJPK7zOPW6bJrWynimJLlvLQ/zUz0HM3qnQTyZIXvKaa0V5gRan63zKr0c//TnkWoC0l6kr7V1qYbhtuuSaiO5C8cEgTxhNBSIYsXKmA272hVFxWursLq7v6fs38+BIhiAuyQ/G+PF4j/yObsHHjZrZt3f1rZ06f+PBlV9y0lsEBgsDD92tfmJ3S3xUI78bAN465pc0Hz1+oX1KVNLeUF2bu/AZ4CeYuB5UZuIuMZVFU5QAfI2sJf/bFJr/4W1OcXfFchqZiCarU8850d9adkzH4pOYuedzlsoQMVFltRFl3V6/MGvckT7Kkryu1JhMW4cToj4pFWKkPtwWTl0tpReoZy8wqzJ5xtqEU1tmJafreCIswKv0uzmmPQsummZj/+0c7LHUlH/1CC2oZy4pKqt1aQYxgVGHmKpOrXG8XGv1CTJ775FSZ3J2vwjbNdnZLhCUxgig2mJqmO7BP+0HtC3FSvTVU+c3v/97v8r3v2Hl8phXeGujRzVol+F62Q9nk0Pm1s7mlWltPcjFwl+u61zL32qRO2etWKkYHhoOnPH7pd6Z4ak/NZSqz3RhEtiuDB9IVU9XSbKVXyljmNd+qJFmke19tuVvL4CJ/X9r9Ii/pLNh6ksGrW72Q17QU+xRVmTzfUSP7mSxuuOoYtjKzZ0Mu07bDrLS5JL2yOy77eYUorWVqKqFeszz0jMfySnpyLqTDsoznGiafTuhYCAAAL25JREFU8I/KzJ7/M2Lyj9aQdt4ObYv8UKbNo8QyDi3DSNIZqs8/+PiBX/uJ9/9Q5Z/RE/8sV1w2ixCCI4e7rHYisIrEiPxmy07kZPFUNWmTShVRBnQV3JO13fIi4C4ncmR6aD/h0GnNv/gv03zjiTrUMrYu24GZ503eRHzRpM6Ec1Jhc0rVg7n+FoUuL9N2WZf/RR7lyLK8C3LJMnSZvdQHFzYd5SHy58x1kOnoj8ydcDXi7vslWbmqwWlwY1Pgu2RQgkWM4PU3j/n5n1jl5/7LDIfPAB4lB4Wcja1UF2Dy7DXVZE+270mW8Sz/fVH6N/N/36bOUPrd019tDSTW2YVBs0WwbjvWmDWndA3A1217O1KocHn5E9hkL3HsMY4USSJLtQYT6XYxAXD50uBe64NPgjsteRVJxTlRMsHzEo6eV/zL35jiE3c1CGXZ7y6XwspcmpRne5frOirNF1TZM5ecGXDLOJ4Ac1WWFPPU/1uAXa4orFqGVaCvTQQV3rHISmhzsLvAMrshrHBJINJg05DtQuxkCqZg+DixBNrynjcOSazg535tmmMLopiElGEpB3EV5HYC5JRAbidAnlcmZt1ConRe0mtkRbGDssU5K+MIhiG87PJN/MPvf2MYRwm/9q+/CcCVtxGv1vhnm7duurquXnzt4tKY2NRzHYQoMfcEyKsp+Yszdxnc6gLgzgEtMhZPvW4dc2xB8dP/7zSf+mrTgVuVvG5RrTXxJASCYvrsRBPD2k6di03jKm0/LsqAFpOr9USC51vCdkV/V344ka7Pphq4FH1aoSdSRq/MUCGtT7ElbS7cWAjhgJ9kZQXZdzTuFyWkrgqaKAaPiPe9aYhW8DP/eZpjCyUHJAcoFwS5mKgZL4M8Ns4/VyWQ2+xGoNDkGeilcDeASEkgMdAdWcaqxbZLdt191e5t/2zQ7605v2sA3mg2+dMvfKL7/2/vS8PkqM5z33NOLb3N9OybpNE+ktACRsJGbF7AEDAk2Fawb+IncfzEwSF2cBLvvjcmduxANm+5Tuxc2yHc/MCAQ8Dg2CyxMRiZzQYkI4QESEIbMxrN2tNdyzn3x1nqVHXNSAIJgXPP87S6u7rU01391lfv934b4G0vBcE5PjwWRtTk56YstsnTyFpwSwsnWUDPDW4DcMIlJVFyIHMiHBhj+PTXWiW4mZb/WK71plReUZ0catJkvS2+a9MRinSoHkjAntK9CUnR2LzHs4F7NsA3W/PsHJ+s8ykUfVHTzRSYwSko4ZZmTpWVlnPo9Xjt5K8kKgsgo4YuImw6fwZRTPDxr1Zx4LD15VMgJwrkmN3xpJbwb4E+yU9RFUN20YQCOuWJz+MQAdcVWLKoFl9yVrD9ySdvmly37oojAxwAwgiYmpy56qGnlp3R3TJxWm+7QLEgZ0o21082Kye6+j3Z5+jAnaYrkVFLGIsRO8D/ub2Mm3+owW3nl9ggl7xbFxDbnWHTqkk65ySv66lp9wvLqtvATakpWYdq9hqHFJLtTQZnBOZyaedKa9DbGYVc1yEQY9V1hJOoyhytpEBVPhJCVVmZMBq5PE9VAyCheDlhIFxycgcxfvPCGrY/7+C6b0sQG/Tk0pVmkKcinkRnJFqWXatMKqnLbt5JVRIWhLxolzyCpfN8vOnM7ifjcOaqYqmQe5hp3sYrLtsEEhXjZUuHRL3hSi0UOuck2/wy0cMNQF8SuLPhd3nvsBhwgbseLOLGu0poMA1kC+Q0w7upTKRqdiyzabHWfSYdOAVokr5hlucG28JWFI68mrl11oKTHHCnO86meqfwzKQ2UyiRN55Q34gqikginTxm4LGDmDuIYwYvBt711hrO31gDiWMgVoUSJtqZ5K4IIXNS6jwd8YyELpqwk7KSx0kEM520pSOiuoeM5xBUSh56+oZEfbolXnXKu3KPrTPbQb/ogrMRBPUbf/qj3UOMHyh7aiowYxavTqkp6Socm5rMrpZYgRxzb4HbiUBdge/9tIiPfaWKp54vyIJhO1KZoiZJKN6l+Y5lqjjDUkv0LaWFI597G/6duddnhC3DzcZTkpyT5E1NEMM28hYHN+MGteOZOQmMwmIoiy4cJoa6mOgmpxAQprMVhFRZbKpizljNpWNgzeIQf3/1OD5KgTsfKMnLR5Mlx5yWHJqC2No4iGnYSYluA6dOXMW/9fEiRKDeAKhbnR5csv7GYjHfes9qwQFgYGBA1Me3fmXt6sFD7a11lIsRfC9WY7Fja7KZTmsVSCsjoslyvxRw33Z/EZ/4ahVPPe8rcGestwE6gUN0faVIpjKQhJo0cXBjvS1NOcdia/UqVT1v05Msjo9gunO5tyUFptJmM3kpWipMtVrm6dI224onZW1UZfVZg2VNHadlyVWZm8xpYWaaG1e3KHCwamGE6z44jkvPqclytzjOseTh7JZcKEtuWe9Il8AJnddi36TFD2OCRkQw3QAOTXD0z1t66EcPbP1Kb+/ArGxwVgsOAAMLViAOxuAEP0atVkcYueYMSsLDKi3WVlYsifCYLbeaWUkcgdseKOJT/7uKrc/6qgOsnRlogV1lCXo0yRI0abB2SNx+DJjvkM35ttuy5VKUDJhJakN2HZmqNKkosKw3SVtv7UimG+Vrp9Lm6cm+2pnkKqIpBDdWXGW4KAosJM2zFBKiYoH2d4wDgTWLI3zhjyYgANzxQEm+oMOGx2DJhZINmXY2ibLcRPUZJwlN19+vHgBuqQVDK4bQ09k657Glc73Y0j7QGJ2mH9hyYOE0F3bXVuVE6scZTj03uPmc4GY0AhyBOzcX8cl/qGLrc36GlmRvumlPYrk158613tm8DiQgzgZ0Uo5kCvCkCejJiaAIy+zsJA3sPHBbkmBTaN/m4KnXNSdPwvmmSJnrfHGSuekiCOt5ag5nMjY8NpxcTVluMKxZFOK6D07g4o01yce5Zcm1NT+CJc/j4bHm4Pp168a5TLd698Vd0x1t4gN9PQONuTA8pwV/Yd84L7Yse/j0U52J/U/vLntOYKy0bMOlChugrbqtrkgwkwzwEykwB9wsApjAf24u4KNfruKp5/xM724rU5BKy62dStOVitojR2znMgnopMruMglOKeudsdoGuCR5bN+bfZoezA50uwW13ZI6RVUIMk5opi4TAFHppgQEKpZj9HL5ejLQQOtCiQ+hFRb7swqzTZ7oVmBGrwA4ZVGIv7l6AgIEd20uIhaQltxuApRRV1JZiNT6clDb1PfnMZL0B4tadlRcvPW8CybWnTL48OGxkebwpbXmtODzB3rQ310dqZbCTd0Dp4ZxHIES2XDeNWP6Mg6mBW5ZZ5nuGziX5RZM4N5HC/jTL7XhqV2zgTtpt0YIMZxbO5WOqS6yHEtL77ZlwaZAD9LWO2XlM/TEVPSo+7l5yNwkJasYGnAbkNv538lrSa9Ii48jUUvyGucnioqVN64rgXTlT4aTGw4u9GxOJ7lvMKwaDPHFD4/jTRtmwLhlybm25Gl1JRQynzwUiaqSyiHXVlzIqqEwlm0rBIAoinDumevCkVG+iTodI+VK/5zHdk6AE+Ji4vDzKLUu2dvaccqzrt8KqubbuE4Mx4kNHSE2/zZyYlKsQEmMtCyYOJSMRYArcPfDBXzob9uwfZcvx9/lgVvRErt4wVZMUtSEpsGdBXkWvMZ65wDdpid5kRxbVjzqlesaJfbT7guS2pYJ9nCRyIimd02GkiTOaE4fFe18aspi13HGNO1oasDHjqIuDnjAMLQgxD98ZBznv34GLI4SCZHnS4gBBwIhgRsJ6UjafRdlrSdBEBPUY4JGTFAPBDrbW/GG9SufXXvKor1Pbd+FYtF96QCXIGcYO/ijXYwE7+/qXYFyoYaO6jRKxbrsC0iESbWUETKurKMVwSRaaUmXmTEawvUjwAXuebiID/99G7bv8SG8OcBNqQnDezY1sZv3UJt35ydUGdA2pcU2a9xGGMyCPv2ywSchxwRzCV5LBcmmzaacSeTp4jnKirmpkL5ACkBpzm0pK4a3W6pKqirIsuQG5Aw8YFg+P8SX/mQMb95QA41jIMjj5LKI2QZ5JCwfwToWsZD1n2MNghcngdEpjtNOXYFaPXr/d27/6S6HsSMeV+dIO7S2DyIMpuG4pf0vvkB+snff5nMPTB7Aoh4HrlNBHDPI5ExhOWS64DhRTWhOyqvrRdh9mOLBx4u45hst2L6roMDdnFuiC4YNuElSFc9scNu9EGfpDJtXLW86VpE0ePN4eDpTP9mv2Q7jqE060YgmNtAV1yYW8LUWrmLbuVzc1sM5lT3/ODftGLSlBxQXVgkfRCV/EDVoNn0G2qecNAzp5D0CGgIrBiN85U/H8ZlvCPzs8SJ2H3IBHwkXFzD8nIMhFIAjlDFCIsTo49+IANA6lvZPoqutE+e8YcVP3nHx2funpmfQUikd8bge+RQA8LnPfQEXXHzBaMArk3c94l5x013DWDVIUSl4qIcudMv0VA9Bu92aPStHg7sQ4Zl9Dr7wjVZ8+cYW7H7RUz275wa3oxKoEt6tmmbaQLdaQdgN7LMjVJqkQ5rO1TZ53jTzemrfpNuT3gaSzRFPcsXz5MesepN6Dn1SJv8vN+JqnttzOhOkNCWCKUOUBKbsfBpLQtLbiACaLlXJHzBXrZiguyPCG9c30NcfY9sOF6OHiYW0tDylm+IbaqkMlaOqrQQXGOwJcdWlNfzO20/HwsHFHxkZ3nH/wMDyozIcR7TgepValqPU0vLwyiX81mI8ffnIoafhMz1ZOAZxRJIjTXXbCG29eRO4d+xn+Iuvt+KWu0uoc8eSArP0hKXAbeRAq2DBsXVvYuV602ZqMmtI3ubes9yb3yfLtXOt91GabmGlntjPs7tpi0xsVUQk0T5DYaR1J4bykJTFBoWq+pE5KloZYUQq4rBLdqhOdLHK4O2zBtbu+jNSAAHQ2x7hPRfX4LvAX3ytFTv3QVYG2XkrikZFgiAC4EF+bkYFXAZ4TKDiA52+C69wJgYHN9za1b/sYaA5a3C2dUQOrtf61X3oLI7vetv5Z1x9wcbC7ZVyCeOTLuoNB1HMZHN8odUJ1anKtHqQkxY0Ldm5n+Gaf6rilnvKqBNHVePoSpx8cOvUV01LtGLCLKBrpzLb30Sn9KZyT5pUlbwbsY2NBWyLk6d/bssiHj3Gzb45erjO+bbOB0tVybtZ6gkSxy1RVpBWVFIqS6KJJxFPrbZoDm5NWY6TCGeqwSd3ENQd+BzY9JYaPvOBcSyZ15CDdLTDaZxPriKZxMR/GJE1swUHaC1weG4Rv9zXdntX/5lX795d30XI/OMPcADo7B7A7l2bd1e6Xr9lOh7E+BRBEDqIYyrzHYjWlpOiBce0VAvhFiI8P+LgM/9Yxc13l1FHpjmPLhSeA9y2HJhc1tL5JjaAUxp4Tgs2nXPSVIeJ5DHVl3CSb9ENsPVTcYxqig1eWBxcb7SAbeeJGycSOemzSCddcQEzKdkOAKU7YlmTlIXldKZAztISYqyfK9kwdpTz6SIMJMivuKCGaz4wjoXdDUmqdQBIOZ9CcIQqEKTTsh0GeK5A0eXYsGYefuPC9Vt+/NNHdi9c2HdMx/SoKYr5Edgg3MrAdb19u5cc2j/2rjAcgShABn2IpZQw3c44hOOEiBHj4Sd9/ON3K7jpnjIC4mSa0dtqSTYzME1LHItfp3qbzBaWz4A7bbFJivtSa7sN4JQ6aLaR1H02b5ZYlr4JySSF39S2lLOJND3JvbfpCKxefhDG2eTqEkGELCyggEk/TYfWKRi43EQ1PbEoS9b5VAUJukxCnoPyiwhKICIC14lwxfk1gAt87ZYW/PzpIhqxFdwBRUwJAqWLc3VUGBHo7enAokULbtx4xqnXHR7Ze6xwPTYLDgArls/DxIEfjg/MG3yf4xbup4xCjxRxlDbuqHwSh4Vw3RANRPiXO4u4/KOduPHuCgLqyuGrRN1oMk4kVUtJgQIRSWvjHHAnbR4yTXwMsHPyvGdx0JCzzebhtgSYi2lhb8ksa3NuspX1oFkutAbv6sca+OY1K7HKkg2NZU7RlEzwJxMEik27N6rGuGelxCSMH2d1ckNZHNUqzkEYumARw7vOr+O2vzmE333bJMoIgSgAeAMQAQSP0YhlKD+KZf4WYwzlUuH+wcGF77vxlu+Pd3QfPTV5yQAHgNWnXQTfdWqnbrgoaGsrwvca8N0QrpPcPCeA7zdQR4zrv1fBJ/+pHcOTHkINbl0BTzXQk5RXRmXPbp9mKYlIhrLOAu609Rap59mEKpoJ6iQRzWywJ9NwM6NGGAxnRIajXU3tI6xgj/1auo2ExcOtfbmREhMdPA1ypPi3blrPM3QlFiQf5CLbIYumeLi5qTzyiLuIuYso8kBiB10Vjms/MIbfvWxCgrwRAnEDiBuIeITpGJiKKCYbAoVyFVe889LAd73auzdd8lKgeuwURa+OniWA4A+R8LSNM4f2FgtuHS3lOhwnACEhXBZi5zDBbfdV8FffrmJsygNc11JJWOZGjVykswJ1g0wdftcUhdrgzmjdSR9zayAWyQN4hncD+Q6l5UWmQvWWu5nC9bGQ74zypvln9nUDYpLZJ0NNAN2vULMJqZLIol0JZN2HW3MgmRfOwSmRVfdG35aUhHGAq8eCK06jHsvPRCD7UFFFm9SJRdPt5QihyumlaCuH+Oz7J+C7Arf/uIIdwyqLKuBoMB9jBQeuW8DZZ62fWb1qyUOUviQ7/PIA7hdaweOpT3fPP18cjp/8EyfeXBgej+H7EQa6Qzy4xcU1/1zFj58ooRG7gGdNWEgBWyKHEvlhNLiTrEChavCaR4xkx43Y4KY54E7d05xtlvXWgKYmNQkWrNOAN8DOUU/mAnwK3/qJSL9gAzrLu2WiqzAngDwZiOKwBFRVquvCh2Q7VPBH9/imoOCIiQQlmwPkipyDUm4q9OXH57LQmXLjvAqhW1vIVA0hKBiNIQRBtRjh81dO4sKzGrjmn6v42ZYYA111uK6DAyMlrHrduvq7Lz/vS5R5/7O9euSAzmzrpTj7qTWx9wYvCA5/+ontj3/i7/7tkNdVqeMNa2dw0z0l/NfDFcBzAdfLcSIVsKEdR5iQuw1mO0Jpa9tZWpIHbr1/kzyoW6I1AZ9Y+yTOZiI32v9PXwGIoTtJQ6Bk/IZ5nAkMMauRj35/M9JE0yvrtVRklmo5Vu8vUttSs0rtY0JFZh8V9DI5/ElOkT39TrfcI3mJdVZKBiFJqaJO19CqmrzXxeTST3O9EI4X4t5HPdx0bxEbV0eoFCjuenhNUO4649pyS/vnP/fHlwYvB58v2YLr9b2Hw2Dxgp5r73ni1ODF0ec/e8qCnZSQGQwf8gDmA54HUM84jzCRPel5a3BnU1ybEqfUD8tyrLMBd9bRPCZwW9TEXBEz0T2kjXRuwOdYTUbWWmfUFKH+jh0AshVEE9DR/UhUGRpV8zMBIUuNlchMacaSQ2gdVNIZJH19spacWo91cQIolaVmQh5vQEAQPUmCgBJVXKF6sciTgJlqIUqBno4Y4BQvHKzgbWd28YXv7P/soZD9vU9fCD73MvH5sgH+W5e/D9+784czZ66ef+tZK9v/YmnHs3h6L8Fk4AJuAWA+CHVACTE9Ywh07oEFSCT8Oq2EpMHNLNAeX3Bnde50TridEZvb2IfYp4He7+jwbf77HPukwCygsn+EEvBUz3Ar+/CYQa51Us3DlXyYAjmxEkkol7vr/UGh52Vqy02IkJIhAZJuvTIhj/EYnFI4DaDsBtgzXMBt9/dg8aI3i9evG7wVEzMzZ2z8rZcLz5cPcAA4dfUCTNQXPrOgnVw1PnrWP97+nfvprpFWkEIRLmNSDbGcQZtXaqPX5DAicSZ1oTCzAJnq502btfCjBTdRpng2KdF8xsy2LLaNQ3oUgD3SEpa1TvucCtYW59a0HZBFu5xKXn7MIDd9S9BkydPzLpWjKQBQYaw5IVDz6dVfsgph7E8JtY1GHBFzwAXDQLvApWc3sHzFBu62rrxq2Yolzzy+9eDxgObxAfiChasgwscCOGd98wv/d1tp87PrvkjYKFo8ihKTOrZ11TUabfKFYdVI5mcFzgZuMyI8w2fJUYLblgSpAXS6F0qqnsFKeoKV2JQF47HKhEKDVZ/8ggBEpCy32azhYtQT9T7qBQ6i0phV38JjBLmelpYKBNnWnQMgNKnstzg851xe/bgJ9yDR7lUjfwVyRmOVWx5j05v6MSXqf/beu07/ZkvbM/HFZ6989QAcAIh7OrbuPBB/8D2bds7reWzyq9ff1TIzOYGKLwuCtUZr6u+0ZpsL8DnAneLfFh/PWG6jc2dAn36sgEwtcFuaIbEArz+nMUizWPMTsbJqi7BOONtQaFUFkGF5rgxL1pITq55TZj9KHp615FS3kVByo/mjykehtroiPwAIpSDCms2JRGM3uSxCHkBKBJywDlEeQEfH2ye7Os/Zee+SvbFTGDpux+64ARwAOqtFvHho+vZ3XLj+j1xEX7r51rs7JsYnwBhT7W7lyLdQdzZVZUh2GmhePncuuI9QqWMrInnUI/s60MzDAcuC295lHvBegaWpiJ4bqT+gpi0KvoDi5kRV2ktbS0ynVkKgxgvqAw8zVz4FcgIkpjtxRKE3oxnkxNoV0IZNRjzjmCKMKaKYIY4JOOcol9vRvegto+XOsz8cR2O3g7Qf12N2XAHe11UFABwaHb/hty8/26kW+XV3fP9H3S+OjCOIZE8LQJjKDTtBqTnymC8D5kUomwFOmqrn7RyTXL6tnSHjZGZ0cWsdCdQnAvTaUmuaYv6WuvQTIlIOKIV5Aq7UlUTTT3RyOxgUc2J4tLbqWvc+KpATDkoTqqRPSR09DSOGRsjQCBzUAwrqtmFe/7nDbb3nfDwIwxsKxcXH/bi99BDRHKuzo4o4jr596UXnfPKM9auHSz5F2Qc8R81ugSwu1QEL7YwkID0CuJvyvG3LbjWq14UNRnMmuZTG7mBleDeS7UnCVYIsa3MzGI/3Ac2G8u2sQqTzvlMt3HReSmaUn85XiVUn2rywPReZ55wmz+1Qfya/JTW5wvo9oahpEDqYrLmo1R109a0aHlh89ifDMP52oVg9EVA8MQAHgLZqK/71O/d8k7mVj71u7fxRryCMpR6vU0yGctai6QEDmGw+u7XDkTh3Kv+EJhU5WbrCKEnvS3SwhjRFNTWFsXNOmvn2Eez0cUd581sbQPPESjbXYdrbiAX0NEjjPFDngpzMAnJ94lDjSMoODDEKfoByMUDMGYQApmYCRHTeaEeb97GDu/7zm6Vyywk7VicM4ADwR+/7daycH/zrmlULPtTeu2DSdQROX0GwfOEURhsBanHSlkwHWLQq0mydjwBukjPciSZWm+goIU3KyPKATUjSwF75SKmVPD2BCM6s7F8i1hCmdNfZJBGL20DXgDYW3bLY6l5kQZ0BbzpBK2u505mKMHRPwHEiVMpT2LY3wCNPeZisCSxe1DHpFAY+tPlx+q+LVr7zhB6748rB89ZdWzgPRenGgYF50cp+7/plPc8ULiocwqHrW7DjhU60uMIK+MxCTWyHcg5wk1wLnQVvEmxqUkpIBs8kx04fpZN5LPDPixvN8ifVe+swTyIt2mqzVnqISL4TEcIcE0J0k0vZ0ljmjgjQREpSxNr6yzpByy40NuVqxDy3e5MLSlD0OXbui/HV7xYg6gLvuWxpfWVX+ffXnzZxy9j4+JxNe47HOqEWHACu+8i7cd6yOO4sL77lnA1d71m+vKv+9AsxXpwooOTJQoa5Ji/kgZtkQJtw7ATwhKS5OKXEKkiGlTNC0DTBITFCzUuk7nJfM0+PAuVHxXzmOItS2bQW/06acNoc3KInQs+Qt2mIfs26typ9RK4lz1QOGesvVZN6w0Vni4PB3mm09/bXD8/0vaeva9Utd2/uifuW/eGJht8rp3Id3Plt9CxZR776rYc2/fDB4X95fMvBUtElcBTwbOttZlQeSee2OHfT/EpiATmroKhvbn95k7Fn/skcKP3/9f+1ntvJVLq6nhD7ykJwpGSrJt/BKtRoVnZ0hLB5mRYeme+ov19yLOzW13p7MtQ3PeBAJ7cJK2qcN9g3nYwlE7ZkZZdTGqgdnFrw3nPfePXNn7ruO+ILH8/v532811G1jTge62+/8h94tnEOrj718C+H+bznWnxcMD42UaDgYFakMQG4XdDQHKxhWc7d1OIhq6gQC/R2ICix4goTuSH5XCkR9kmjX1PvY3P51FUirb/bCV6zpfI2pQ5kTk6RfJokYojEqmpd0S6QgBVVzHzJVJQ2dSyICXlZ9Mzaz45YC4IopghjBzFdNs68oSuv+eKaG59+4Lu44ILff6Vg98oBHACeuP/f0bvht+GW2rf093bsW7aw97yx8cnS5OQMCEkGIukJxKlJw030JQEvy0iA8v8RZXnS1tPc8pKp1AOjfGevbxkrDguwIFpWtIFMrJOgGeC2Vm8DnWZA32zBs1yIpJUVZJ1OdRJoBxBZaqO/N5J7fTxI8t3NC6L5wOirgb5yRZEA8zrQ1rPhUGt734dbWv1/e/3aEfQvv/KVhNwrGohLrRdHxuC5zvu+e8cD1978H//VPTo2hlrowKVAwRXwHFnBQ2lGm7acx0TnJtb4cJKy6LnZgpal1ZTEzHznGiAil6406eapz6NTA+xBsIlyk5UyNcBTGZLmhG7uWz4bNTHla6oewVZYDFux/Isk8GVTQJXFaUaxiwz1UDnn2v7r96KyGavncPheBMeJMTlN4PvtWDj0luGueed+QvDoW36x/aTg7ISrKLOtnq42jE9Mf2vTZeeStgr7qx1P39L9tdsCVF3XWHCXKT0aCejMhTHHIWVZemKpKEkHKm2INOnWrdHU5Z3KNsTZcSJmCaiUUJLdnJwQRD9XjDgrt5Dmh1kLbQPSBEtyHF8bzByJ/m0mQ9gAV+/LzdVDDpBlVIXyM0Oi5NgTYSy7PB76ZJJbdRBHjmqMAUzgx7+cjyve9mvDvYNnfRJCfIv5JwfcwEkEOABUW8to1BvfvOStZ0YvrKh98Y7HHmmfGh6FywSKHoHryIMacVllbef7AGkVRVtsRkmaf5PE4dNA1/9XnjAUepAq57Llgu61oC/1qUiiAhznwgSJoPKpdSagnoKRyoqabWWcXgN0JDe7WagNcrtnuC5IthUQw7d1hqJ1wpvPKOPy5gR1IMwViup87owcJAQQxQSximN4MQUlArGgaK30Y8Xaiw/3zN/40ZkZdn2lxT+ZEDu5AAcAv+CjVg9vKHe8afQNayeXllnw15s3/8wt+Q4KPkUUC8w0OMJIjqDW2YWaKybWmxi+zRiQVS0Sa55MZzA/rBBG801mUeqbSP2+xpoRaaG5kO+bpLnCEqRtrTxtxm0Qm/fNOpJ5HJ0k70WgT/okJZVbUxGawubIONlU6t/MChBBfVZp6Qko1X+LG2VHxARRRFCrM4QxgedEEByYv2RjWG2NP7Zp/et3UubeQal3suF18gEOAKWCyx/7xbbb//j3Lva2bdte625zvrZzx1bi0ohO1wUmDwSoNeQv5ahyTgYknNI4j3KGIrOsd9qSJ2C3LSvnsvokVo+NNeSiGSRCXZapgZXVwkGoKvN0Fc7RWnG9W5IjI61soq4kk5ihMgghCEQs/58QEthRnIz7SP0ZTU0ETAqzoPLEoAroBETWyBOVVag+P6WAwwQch8MXQBhSHJogmJwW6Gwv82UrzxAt7Us+2Ldgyb+MHT4YdPQcn3zul7teFQAHgNNPW4knn9wWLFrQd0MURj+a3xP8Zjgz/JfDL+7FdBRg+4sOSoygUpBOEFjygzEKqaczgLEc1YQAlNKmomFNU2JOQGIBIWKzjXOhghYJD7edU6LHb0BSV0GSjlJCiFRi1qwxT1usMRZamO0myNXkdCpLKghiLqmQtthxLAEexckJKj972rkVVH5uJuRjYXUAFVD7KsqmR9W4ToxKMYTrNbB1j4/Hni6gv68ffeW+P+/tW3RTody3Z9/+0WD+4KsD3MCrCOAAsHbtSgCYefKR725fc8GSa+/+QYs3r8/99Hj8C3b7I0W0uT4KLiAc+UNoauIwAsYIHAdKUydpR1NTF5rWzjXd4EJOdxaCIgyFGWsXxSJlBTXQoN5fcKEsoObucj/DaCxczxbUTKtDaaeyOQ/Hqo4HTHidEEVJQBDFQBAKhJFQlTv6ZJb7Uq6MgJCGQVpvqDpMxd1Vai2lBFwkqonDOMrFBlz/MHYOd6Cjd1182pqezx+Y6rz23gf3xVe+b+PJhlDTelUBXK+1G96Be++6LX7rxVd8hsf7nF0TPX822LnFH5+oQ4jQ9L6jRALbdeRNg9hWTSilSv4icFhi8XWLBk2X3YhAgKI2EyOMBOoNIa2jWlQrLVRaazv0mQxf1RxeDzCFKuvK5yiGf2dUFQqLf1uRRC3f2XM9hRCIYjlzp1YnaAQCtXqMKEpyVZJUBXmMBACmHASuLDnV6d+KxwMCNE6StuQJBTBHoFJpx9svfHOjo++yv1s31PmZf7/1Nrz98hObNPVS16sS4ADwlrf+OoQYwc+3Vj59zpm/Qd3iqo1fv+H7tLtY23jg4CEnjFzQIoHnEHguhetQUEZS8l1CYSS4GQNcxw4kqSp9xTWLPjAxJTA2LRCEumjWokGKb4NJikJs6y0sTmx/kbywP3JjSIZ6ZPXqJOAl1OAvmInTOnpY8ChGJxyMjnM0wtgoJxrUDiPglMDRCfkAQGVhhCDWxAcij5NQzrPvETAWox4EAOuMwFof7Jh/GT9v5ZoHCeOf3rFnAssWzD2r8mSuVy3AAYCQLv3wk3fe+e/46HtPb5mcnPjGz7c+d8WjT4xQShoo+C6KBQeuQ4yKEetCCit4wpSu7jqA6wi4TMh7R8BxBDyHo72lgVpcx71biigQkgSc1P+FIGCOMKVgRIikEb0ltSWWHMrM5n05/R1zwvAkqUhPqIkEt8MEHCbgqtHqrhPD92I4LMCPt3rY8nwBHRWhvqu6wjGC2JH3ugzN+BO6Il4k/gYlQOTIM81lHKVuB9Oin6O84uYDjeof7H10avL880+etn0s61UNcHtdcsnbcWhk+2RrS+FDCxcv2UHZ42tKztTlY4f2oFwCHEcCKYiAIERCLyxL6Dqyqsh3OTxXwHPlY9+PUSqEWNg3gV/uncL+w70o+wV0FDiKHuC7FkJjHYhRFMgKjWv1xVSSH+E7pcQckvgFdh6KTnBiVCgnWoLbc2XksOCHaCnVUSmPYbxRwY6DRSzlAiVfoODKdpCxI+DJLj1m+obpNU60+iIQhBxRJE25EAKTUxz9a5egvat460DXqVvgDXxZ8PrkmqFlJxsOR71eMwAHgM6uIQAY2bPnhf/1wfcPLdyzewf279tx+a5nn4aIx1EuAgcOeag39CVX/YJM0xIFak+g4HEUPAnuoh+hXGzA9xpYPm8GndVp7B0rwmUUhHKlQOjsOmLp49lJC0qFsOdXHsX3sjMcDdCt4E4SjU2st+fG8N0IJT9ApTSDQ5MN7NjfismYYHxGOocxF/C5MJ1lAdWWjQm4SBQVbbajSGDfcAMu4+jtrmL12tUYWjV064pVQx+empre1d8/72RD4JjXawrgei1YMB9Tk6O7Vq1a8dFqq3/DvPlLro6nf3ne9+97DFufqWNBbwsIgHoQw3UYPEfmqrgO4LscRY+jWJDA9r0IRT9C0Q8hRIwzVjewfOE0nh9px3TIUGAELhWIGMC4vHHV+YnaQNdZfJnI59Euk+OhnxuQJ2mrjGhLLkvBXDeC74UoeA08s1vgsS0ehA9Mh9IX4QKIuDDaPiHqBIklBfIc2TpypiGDZ6sWT6GnF+DsDXjzWSvu8wqlLy9dsviJ2kz0mgQ38BoFOABUWjoAYIcQYgeALSMvTPWvOX3p1wuVnctQ28Zq9Sls300xv8dDqUiUgynguwKFQoxSMUTJD+F7ETwngssiEAIUXAKGECIOUI+LCGMpGXKuHUpb77bTTxNaYmqCj8p8p0P1qZA9kLHiSQNMCXKugB4CRCAIGRwfaMQELCQm6CPUXEFKOVyHwHPl1aHgA/N76nhkW4g4LuOCN70hXrJ0wY57H3KvPOusjfsBbH8pMz9fTes1C3C91A+w/ennxrcvXxpf1NfeMm9B/2k3/3TzHa0PbZssN8IGGHXgugK+F0u+7UdoKTXQUq7D90I5zVc1pokjB0v65BRmOTdGV7bwFKizy0QyLXpiXpjr85vvkQ7i2HnnSO3TXHDAeYxnD7iA48ChMoA/GRCMCoKyI9DBZa9AhwKOI0EexzI5qq/bwUBjYPrM9RdN9FT5pt75A3t/e5Dueq0DW6/XPMD1WrG4CiH4Lixt3wOMrh5aeeGZH/kg++f9LzwbTY8938Ew0lLyOXwnQsEPUK3UEMYT+MUOjkqhBf0dJZmkX3Txe5fUcP29EepRusJHAPkaH6zX9YMjWW87v8VyLkn+Lsm+dtoAkaMap2YEvnVHGaAuqo5A2QE6uxsoVaawbXcRw7WinI7BOCij8D2ClmrH5NpTh0aHVi12+laI9xdaFm1e1N86HkbgjP1qgBt4BWoyX8kliyYI372nfrijc+EPOttbh77xze8uvfht7/z8unWv29rZ1fULr1Ctt1Q8NKIJ/Pn1Hj7x9fm48/4ePLe3FdMzBYSxKy/h6uDolnKGJoCkKIRZTQlaVtlYFriZWsqmZCodfRLJuSIAq5LdSo5S2+oRBWME1QLHkh7gNzY4+Jv3hvjs7+wDcWpgfhldHdV6T3fvLzZsOGPru999xecf+9ltS71CdWjBwIIfdJRqhwkh3HN/dcAN/ApZcHstHJwHyES72vDB3aDU+WvG2F939q5mXqH8tbbyyNCW7S3n7D/cYPPaCIigGD4cobNKQQnBnhddcOHCZzAJ/w5NqouIhXANSmnpZWifEB3yTvJXdGmcztumFtVJNaW3Qvs2HRLCLhxW/UligihmcBjDYHeMg4cBn3FUCgBEGeOTDs5YPo7/8bbBuL311PuX9pW2T0xOXRUEYVwoFPCbv/NZ0d27sHayf68TuX4lAW6v7t5BIDGY0eTUyB9USl77Qmz8whmr7/WmR3fFixZVT+/sFus971kcnqjh775TQr3uoaPITUsLhwKeQ4yspgNJjKrmolBdo9SfYuraSFQ6AVOJWTqJi4BY+0h923HkeaMHowIETHCjsMQxRQApdwoh51QGAUOh4uEPLh3DE19pg+d3YunibrS2e482+PRj7V0r2Keu/LVAsJ5PQdQPt1dl8Oyqk/3DvELrVx7g2dVS6QKAwwD+EAB+/uj9ECDnubRxYXd13qYDI0Mrliyl2Du8FwUSoN6oY3omQtkFykUXlDJMTMumw74HpUpQzDQEanVZYe55gKN4LKMyncB1pKJRCwWiiIO7FEwhXCs8BZ+DEYKJaYZ6g8DzBFwHcBwBRjnGpxzwmIKSCC2lGuoBhUAbaL0VZ52xEB+/sg9x0PX0mkXlm1tb/B8KLu6bv+qNJ/uQn9T13w7g2fW69ecAwH1xOHIfAX4iyuHSTb82zvc+dxNfvXze4qGlbZ+475G9aC/4qPqHsbBnJ257gGJktIiS78L3HHRWHYDU8eSzAcYnHXS2UriO5CiMEhQ8oL2VI4gi7BuOEYQEbS0OPFeGzB0qg0/tLQEmaw3sOuBD8CI624CCy+E7NRwcn8Jt9xVw7mkLsHLFIDz/MKbFUgCHr3Xjg88tW3gZ/cC8bjoxXdwJ4AcLBl4bofQTvf7bA1wv5nYBwA/0cyH2APDbXti/98FayICoGG44Zd2fLOpf99bqIMWhQwzbfvkLeKyB/h6GlYunEDCOnzzEUKoHoITKPI6CpCs9bQ3U+QSeG3HAGz5cFsNzOSoFVS0DjmolxlP7OB7dSbBiHkObcFCqtGNo7RvRUwtR810s6Sve1dkz/cV61OYKvh51b/F9dT4ztqrcebIP4aty/X+Az7IIWQAAYwBuA4CJ8QOAwDbXafS+bh14rRZj/96d4AFHscDQ1wm0tdbDd1zypmviYOrSOA7DctFBW4uD1jIw2NtAgAmsW+eDBD7mdzO0lBnaWwlKfoyi77rVjsL3XnzoP68Zn6m6RE199gsVdPWvRYegKLczWi6wgwCeW75g4GQfotfE+tXShE7yuuue+0EI6d27/0C10QhE0WeoVhxUSkB/ZwMhpvHDhz2Q0ENvB0W5yNDWAhQ8Ds/1SVtHzzggDi5d8eorHHitrv8Hh9Nzi6dHR6YAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjA6MzY6NTgrMDA6MDBNfbdxAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIwOjM2OjU4KzAwOjAwPCAPzQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 230866000
{'hecke_orbit_code': 63050394816745198, 'n': 1, 'trace_an': 1}
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id: 230866001
{'hecke_orbit_code': 63050394816745198, 'n': 2, 'trace_an': -1}
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id: 230866002
{'hecke_orbit_code': 63050394816745198, 'n': 3, 'trace_an': 1}
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id: 230866003
{'hecke_orbit_code': 63050394816745198, 'n': 4, 'trace_an': 1}
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id: 230866004
{'hecke_orbit_code': 63050394816745198, 'n': 5, 'trace_an': 1}
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id: 230866005
{'hecke_orbit_code': 63050394816745198, 'n': 6, 'trace_an': -1}
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id: 230866006
{'hecke_orbit_code': 63050394816745198, 'n': 7, 'trace_an': 0}
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id: 230866007
{'hecke_orbit_code': 63050394816745198, 'n': 8, 'trace_an': -1}
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id: 230866008
{'hecke_orbit_code': 63050394816745198, 'n': 9, 'trace_an': 1}
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id: 230866009
{'hecke_orbit_code': 63050394816745198, 'n': 10, 'trace_an': -1}
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id: 230866010
{'hecke_orbit_code': 63050394816745198, 'n': 11, 'trace_an': 1}
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id: 230866011
{'hecke_orbit_code': 63050394816745198, 'n': 12, 'trace_an': 1}
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id: 230866012
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