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mf_newforms • Show schema
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{'Nk2': 9450, 'analytic_conductor': 28.610427757831175, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 6, 'char_parity': -1, 'char_values': [1050, 6, [701, 127, 451], [6, 6, 1]], 'cm_discs': [], 'conrey_index': 451, 'dim': 12, 'field_disc': 784753058266475036581822464, 'field_disc_factorization': [[2, 22], [3, 6], [506608873, 2]], 'field_poly': [6882692292, 379489320, -123648876, 51487320, 4799806, -250384, 209990, 12456, 1007, 300, 56, -4, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[11, [463630257216, -286780423104, 129337827696, -29825887728, 5383907860, -451837256, 41583508, -1027232, 227242, -2336, 562, 4, 1]], [17, [4222235916864, 985765370688, -213772663728, -67820278320, 19870112596, -1160246328, -69719924, 6657168, 311466, -17328, -530, 24, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22519028979336218, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 4, -1, 6, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1050.3.p.f', 'level': 1050, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '1050.3.p.e', 'prim_orbit_index': 4, 'qexp_display': 'q+(\\beta _{4}-\\beta _{5})q^{2}+(2-\\beta _{3})q^{3}-2\\beta _{3}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '2.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1050.3.p', 'trace_display': [0, 18, 0, 8], 'trace_hash': 2005235175656825676, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.371', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2.109', 'prec': 17}, {'__RealLiteral__': 0, 'data': '545.922', 'prec': 24}, {'__RealLiteral__': 0, 'data': '487.967', 'prec': 24}, {'__RealLiteral__': 0, 'data': '44377.922', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.168', 'prec': 17}, 'traces': [12, 0, 18, -12, 0, 0, 8, 0, 18, 0, -4, -36, 0, 8, 0, -24, -24, 0, 12, 0, 18, 24, -60, 0, 0, -24, 0, 4, -24, 0, -198, 0, -12, 0, 0, -72, 70, -60, -36, 0, 0, 36, -84, -8, 0, 32, -60, 0, 28, 0, -24, -72, 44, 0, 0, 40, 24, 8, -48, 0, 186, 0, 30, 96, 0, 36, 152, 48, 0, 0, -136, 0, 18, -64, 0, 0, 132, -48, -70, 0, -54, -84, 0, -12, 0, -208, -36, -24, 168, 0, 292, 240, -198, -204, 0, 0, 0, 48, -24, 0, -708, -12, 54, 0, 0, -280, 432, -108, -428, 0, 0, -40, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 9450, 'analytic_conductor': 28.610427757831175, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 6, 'char_parity': -1, 'char_values': [1050, 6, [701, 127, 451], [6, 6, 1]], 'conrey_index': 451, 'cusp_dim': 912, 'dim': 100, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 17], 'hecke_orbit_code': 1030842483738, 'hecke_orbit_dims': [4, 8, 8, 8, 12, 12, 16, 16, 16], 'label': '1050.3.p', 'level': 1050, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 1008, 'mf_new_dim': 100, 'num_forms': 9, 'prim_orbit_index': 4, 'relative_dim': 50, 'sturm_bound': 720, 'trace_bound': 14, 'trace_display': [0, 6, 0, 6], 'traces': [100, 0, 6, -100, 0, 0, 6, 0, 150, 0, 12, -12, 0, -8, 0, -200, -48, 0, 114, 0, -12, 96, -24, 0, 0, -96, 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mf_twists_cc • Show schema
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id: 45381197
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22519028979336218, 'source_is_minimal': True, 'source_label': '1050.3.p.f.451.4', 'source_level': 1050, 'target_conrey_index': 451, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22519028979336218, 'target_is_minimal': True, 'target_label': '1050.3.p.f.451.4', 'target_level': 1050, 'twist_class_label': '1050.3.p.e.451.3', 'twist_class_level': 1050, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 45381198
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22519028979336218, 'source_is_minimal': True, 'source_label': '1050.3.p.f.451.4', 'source_level': 1050, 'target_conrey_index': 199, 'target_dim': 24, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511898444071962, 'target_is_minimal': False, 'target_label': '1050.3.q.d.199.2', 'target_level': 1050, 'twist_class_label': '1050.3.p.e.451.3', 'twist_class_level': 1050, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 45381199
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22519028979336218, 'source_is_minimal': True, 'source_label': '1050.3.p.f.451.4', 'source_level': 1050, 'target_conrey_index': 199, 'target_dim': 24, 'target_embedding_index': 8, 'target_hecke_orbit_code': 13511898444071962, 'target_is_minimal': False, 'target_label': '1050.3.q.d.199.8', 'target_level': 1050, 'twist_class_label': '1050.3.p.e.451.3', 'twist_class_level': 1050, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 45381200
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22519028979336218, 'source_is_minimal': True, 'source_label': '1050.3.p.f.451.4', 'source_level': 1050, 'target_conrey_index': 451, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18015429351965722, 'target_is_minimal': True, 'target_label': '1050.3.p.e.451.3', 'target_level': 1050, 'twist_class_label': '1050.3.p.e.451.3', 'twist_class_level': 1050, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 45381201
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22519028979336218, 'source_is_minimal': True, 'source_label': '1050.3.p.f.451.4', 'source_level': 1050, 'target_conrey_index': 901, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22519028979336218, 'target_is_minimal': True, 'target_label': '1050.3.p.f.901.4', 'target_level': 1050, 'twist_class_label': '1050.3.p.e.451.3', 'twist_class_level': 1050, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 45381202
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22519028979336218, 'source_is_minimal': True, 'source_label': '1050.3.p.f.451.4', 'source_level': 1050, 'target_conrey_index': 649, 'target_dim': 24, 'target_embedding_index': 8, 'target_hecke_orbit_code': 13511898444071962, 'target_is_minimal': False, 'target_label': '1050.3.q.d.649.8', 'target_level': 1050, 'twist_class_label': '1050.3.p.e.451.3', 'twist_class_level': 1050, 'twisting_char_label': '35.12', 'twisting_conrey_index': 12, 'weight': 3}
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id: 45381203
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22519028979336218, 'source_is_minimal': True, 'source_label': '1050.3.p.f.451.4', 'source_level': 1050, 'target_conrey_index': 901, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18015429351965722, 'target_is_minimal': True, 'target_label': '1050.3.p.e.901.3', 'target_level': 1050, 'twist_class_label': '1050.3.p.e.451.3', 'twist_class_level': 1050, 'twisting_char_label': '35.19', 'twisting_conrey_index': 19, 'weight': 3}
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id: 45381204
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22519028979336218, 'source_is_minimal': True, 'source_label': '1050.3.p.f.451.4', 'source_level': 1050, 'target_conrey_index': 649, 'target_dim': 24, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511898444071962, 'target_is_minimal': False, 'target_label': '1050.3.q.d.649.2', 'target_level': 1050, 'twist_class_label': '1050.3.p.e.451.3', 'twist_class_level': 1050, 'twisting_char_label': '35.33', 'twisting_conrey_index': 33, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1634250
{'charpoly_factorization': [[[4, 0, 2, 0, 1], 3]], 'hecke_orbit_code': 22519028979336218, 'p': 2}
-
id: 1634251
{'charpoly_factorization': [[[3, -3, 1], 6]], 'hecke_orbit_code': 22519028979336218, 'p': 3}
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id: 1634252
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 22519028979336218, 'p': 5}
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id: 1634253
{'charpoly_factorization': [[[13841287201, -2259801992, 103766418, -41883044, -633864, 1007048, -69678, 20552, -264, -356, 18, -8, 1], 1]], 'hecke_orbit_code': 22519028979336218, 'p': 7}
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id: 1634254
{'charpoly_factorization': [[[463630257216, -286780423104, 129337827696, -29825887728, 5383907860, -451837256, 41583508, -1027232, 227242, -2336, 562, 4, 1], 1]], 'hecke_orbit_code': 22519028979336218, 'p': 11}
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id: 1634255
{'charpoly_factorization': [[[28563704064, 0, 13984786464, 0, 1889099761, 0, 45485292, 0, 368342, 0, 1068, 0, 1], 1]], 'hecke_orbit_code': 22519028979336218, 'p': 13}
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id: 1634256
{'charpoly_factorization': [[[4222235916864, 985765370688, -213772663728, -67820278320, 19870112596, -1160246328, -69719924, 6657168, 311466, -17328, -530, 24, 1], 1]], 'hecke_orbit_code': 22519028979336218, 'p': 17}
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id: 1634257
{'charpoly_factorization': [[[78337292544, -128414853504, 43594294128, 43561525560, 9702497569, 544663884, -52581384, -4476120, 366383, 8352, -648, -12, 1], 1]], 'hecke_orbit_code': 22519028979336218, 'p': 19}
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id: 1634258
{'charpoly_factorization': [[[876231988678656, -479551066066944, 253371499107840, -9323399041536, 1268254246720, 39575452416, 4198387744, 95664384, 5055336, 112272, 4180, 60, 1], 1]], 'hecke_orbit_code': 22519028979336218, 'p': 23}
-
id: 1634259
{'charpoly_factorization': [[[-5447232, 448896, 220264, -10032, -1036, 12, 1], 2]], 'hecke_orbit_code': 22519028979336218, 'p': 29}
-
id: 1634260
{'charpoly_factorization': [[[8538318844344576, -6127021275734016, 1758065895608064, -209895861460992, 4520197231216, 830509371744, 11894303568, -541244568, -10342855, 366498, 14919, 198, 1], 1]], 'hecke_orbit_code': 22519028979336218, 'p': 31}
-
id: 1634261
{'charpoly_factorization': [[[10632241068592081, 1374236326700090, 346120628973385, 10274535808054, 4497113480398, 197952756890, 26896466861, -153382054, 14876974, -144746, 7273, -70, 1], 1]], 'hecke_orbit_code': 22519028979336218, 'p': 37}
-
id: 1634262
{'charpoly_factorization': [[[46617578071143395904, 0, 326223889918801056, 0, 694124266310980, 0, 471588066168, 0, 140625656, 0, 19308, 0, 1], 1]], 'hecke_orbit_code': 22519028979336218, 'p': 41}
-
id: 1634263
{'charpoly_factorization': [[[-4767344, 598400, 787768, -85000, -3655, 42, 1], 2]], 'hecke_orbit_code': 22519028979336218, 'p': 43}
-
id: 1634264
{'charpoly_factorization': [[[1027661018311324224, -52904692827907776, -3650852092900176, 234685444858416, 13361339346196, -642047239320, -9247542972, 586453968, 9072458, -245160, -2886, 60, 1], 1]], 'hecke_orbit_code': 22519028979336218, 'p': 47}
-
id: 1634265
{'charpoly_factorization': [[[31577218407960105024, 2137916069354419776, 233839019696684688, -1544256808471824, 343755765890740, -1482967036360, 299431774196, -3215519344, 113947786, -332480, 12530, -44, 1], 1]], 'hecke_orbit_code': 22519028979336218, 'p': 53}
-
id: 1634266
{'charpoly_factorization': [[[4729697242691770944, -475199787100078656, 824281835731920, 1516154854789872, 10057764028564, -2171340383592, -8601605876, 1923153072, 30454554, -313440, -5762, 48, 1], 1]], 'hecke_orbit_code': 22519028979336218, 'p': 59}
-
id: 1634267
{'charpoly_factorization': [[[32952538489276146977289, 1459042701536963960226, 6380808370563310209, -670941875501451846, -2357828840121062, 170325393856818, 580797042177, -29347295850, -1244566, 2844126, -3759, -186, 1], 1]], 'hecke_orbit_code': 22519028979336218, 'p': 61}
-
id: 1634268
{'charpoly_factorization': [[[1377591905882966544, 216737731822252752, 92569284446825484, -12348025134849900, 2237969292686433, -65738065571964, 1659117765660, -19557946092, 265466911, -2161832, 26532, -152, 1], 1]], 'hecke_orbit_code': 22519028979336218, 'p': 67}
-
id: 1634269
{'charpoly_factorization': [[[-19178846208, 2481128448, 67582336, -910400, -16444, 68, 1], 2]], 'hecke_orbit_code': 22519028979336218, 'p': 71}
-
id: 1634270
{'charpoly_factorization': [[[133904078886249, -255689956855494, 140001887465601, 43431302222322, 4184489224714, 96426452202, -6010417807, -196480866, 10320666, 63846, -3439, -18, 1], 1]], 'hecke_orbit_code': 22519028979336218, 'p': 73}
-
id: 1634271
{'charpoly_factorization': [[[353438403020018449, 366946600555112494, 367203573035575171, 14820770397487502, 816159287744872, 2770963372954, 398277035813, 2041706674, 118690600, 149702, 15427, 70, 1], 1]], 'hecke_orbit_code': 22519028979336218, 'p': 79}
-
id: 1634272
{'charpoly_factorization': [[[5010256540284737910336, 0, 9041897034880820640, 0, 6312081562432516, 0, 2166411271464, 0, 381161720, 0, 32148, 0, 1], 1]], 'hecke_orbit_code': 22519028979336218, 'p': 83}
-
id: 1634273
{'charpoly_factorization': [[[115353175928358218527296, -9220304079144478367424, 288314375320625540400, -3409173887204069712, -14404491929660684, 601453576588872, 717014726220, -88416490464, 342306122, 4478544, -17250, -168, 1], 1]], 'hecke_orbit_code': 22519028979336218, 'p': 89}
-
id: 1634274
{'charpoly_factorization': [[[66698689602630562591401, 0, 154807544722785646986, 0, 90643172097639823, 0, 19816537157900, 0, 1794419271, 0, 70634, 0, 1], 1]], 'hecke_orbit_code': 22519028979336218, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 16, 'hecke_orbit': 6, 'label': '1050.3.p.f', 'level': 1050, 'portrait': 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wxil+WeYMOYZrGlOTmrqLgeGyZhy0zI+qkB66YCNkwFbFlv2LZBcdlWl6qqc+xkk6++4PHUwZjnTkQkqsObX97i7bcaqmqKgyfGOXbW4cxcwvkU3IcXDDdcMc8vvHuZrdNjnJ0bZ3a5wmLLZaklWW4nNogeCI6eWuT0uZXLnj+68Iq9J5Z2HDi1+MVbX/eu8Ctf/LOvNyT+Rrd/0gw+v9ii6hnihPc88eyRW3/hdz8rb7/26K0/8eYzzmJ7mna3znLbZ7HtsbjisNgSLLUSlloRiysJ51fgyKJgZnqF//w9i7x0d41Ts5OcnatzdsFhdtFwfiHm9HzCXCdmfHLAy67qctOl4MkqvvKZXapwbsHh/JKgF0Acayqepl5JmBiL0cCJ8zHtLmxf71KvBhgjQHh0+5ptGwIWVxwwVoqsdCGIwWBYaoVsXufS6SuEMggd0Ky4bNs4YKUnOHHWIdEOU01JoyLwXYhjQS+QnF+SnFs0zC7H+P4A3JibL+9y6xWCmWaVxeUmp2Z9zi7A7ELM7FLMmSU4smi4/vIFfvl7ltkw3uTk+UnOL1aZX/ZYaEmWVuzxW+4kLHc0S13BXE8wu9zn138yjN/6somHq+u+T9fGdj8cRPLnxusJjjf+9YbKBW//ZIPM3/z9TzIzNcbJM/O/8rk77/93d937pH/qdJs/XUp4/XUxV+9YQUqB1oJEC5JEoLWDMQprrIAQCUIYji5O8J//RPArPzDLtTtDGtVJ6tUGzZpPo+Yy3lTMLirOLzt86ZEKn38o5pKtPS69KGZpuc9lWwO+4w2aKFYIDH/11QpzrQrVJOD4OUW32+DqixPm2jH7Drjs3io5dBZu3gOtDoTawXdCputw8EyVWjXCVzFjDcFKB268rMOR0z67t2uOnQ148Yj999ytA47MGsYaAUvtkM99qYYRiiRJuO2aHrdcazi/4nLtrgG7NrnEUZNev8q+oxXOLwjmlxPmlmNmlzQnlwSz3ZBrdi/yn76ry0xzghPnxpldrDK/4rLYkiy3ElqdiHYvodUzrPQEc33FXDvm+j3L3LKn5YRd/cpTZz/JzKaX3nLRnldox1v/88f2/hk7L/+2rzdk1rz9k2TwP/7op3jDzZvVB//q0H86cnz25/cfOqH6g4DlgcPJNuzZOsdv/ugs1+yqMbs4wWKrxlKrwlLLZantsNyB5VbCcjtmqROz0IJTywKnOuCWK5b4tleG7FxXZ6XbZG6pyvySx0JLsNSyEmG5o2n3Ne3A0BvETDUjtq3XgMB3DafnXIT02b5OsXOTYdO6HrPLAc8eanDdJYZadZkXDk/SqIeEocvUhKY/gMu2DfjovePs2RoTBIbpMUmU9GlUfF48PqDq1rlmd8xzR0NmFz02T/ns3AjbNoQoFXF6ATzXIIRh+/qYiYak0/fp9lzaPZeltmJpBRZbmqVWwkIr4XwLFgcJ2zZ3+bbbFrjlUoeK2+TcQpOF5QoLKw5LbcFyS7PSscy90jUsduF8RzG7EvPSS2f51R9eYtfGBnNL46x0fIT0GJ/ckajKpl/Ze+r6X942fTC56eVv+3pDZ9XtnxTADx48SKVaqZ45fXrb408+/66DR87+1xcPnkYbRRhDJxDMdiVn2gnXXTTLb/zoIldfVGVueYLFlRrL7QpLbZfltsNyG1odzUonZrkTs9Q2zLYEZ7sGRJe3v7zFm16quWhjhTCssdyqsNL1aHUUy11BpycYBIYwNiQJKGnwXaj6hvGmYd1khOMOOHIu5PnDPjqu84YbQxx3hSf3jbFjI3zhsZiXX+kz1+pTcRRxEjE5AXHk4rgxi4s1XnZtmy880mDnRnjiUIBLjde/VBOLPs8fSTh2uoIjPdZPOEzUBVVf4HkCJSDWEEaGQQidnmGlq+n0NCs9zWLX0E8Stm/p8aabWrz91hB0g8WVMeaWqlZvtx2WW7DSSWh1Y1ZScC/14FxbMd9OuH73LL/2o/Ncvq3K/PIEy+0q3b5HEEr6ASh/K8rf9B+nN1z651u2bD4ZBIP+JZfs+XpDKb/9kwH4yROHmJme8Q4fOfz9Bw4eft9XH31azC92ZD8wZPduCK2+YLanONeJeOnFc/zaDy1y7cUVFlbGWVyxmnyl47HccVjpCFodQ6ubsNKJaXU1y13DXEdwrqWZGO/x2us73HxpzPb1imbVpd2p4LsSUISxRGuBNtAbAEIz0Rhw6IxBm5C7n6gT9KpcvNnjlqt6RHqFB54a55pLXA6d79JabnLTVT2+9KTP+knDvhOGH39bm33HfdZPSu55SnHLZYqlXpujpya5ZnfIA8/3iYMaN1/usWvrgH7c5a4nFSSCI6cdmjUHR0CvL9FGkGhDFANS43iaVtdQb0Rs3Rhw62U9XntdzFS9wuzSGIsrVZbb9tgstwWtLrQ6Ma1uTKtrZclST3K+I1joxNy4Z55f+aF5rt5ZYX55nJVOjXbPo9t36Q0cegNpiSCu6u07rzTbd+76sYsuuvhDiwsL4WWX7f56Qwr4JwLwJIlkFPbf8uJTn7t4ccW899HHn3TbXUE/lQj9gaYXGHoDTWcgaPUFc33J2VbMzZfN8Z4fmue6XR4r7THmlxu0uhVWOh4rXYdWR9HqQadraPdi2t2Ebl/T6hnmu4L5LkRJwNWX9NkwmdDtGd54U8CODZo4kTjSEEZw/7MVTs5V2DgR88KRCugal25RXLtH41d6PHmox/xCnSt21GmOL/PIcy43XFJhsbfC8nKTDRsMj+1TfNeruzy+z2HLOpeFbovlpUmuvazHIy8kTFbHueLiLnOtFo/tHafq1Ll+j2H3tgHILs8eE6ybjJidj3jgWZdBpJASEm3YsTHktTeFdLqKTROaay+BMKyx1Kqx1PJZ6bq0e4pWV9LuQruX0O4mdHoJ7Z5mpWdY6kvOtAWtfsAtu+f55R9c5vpL7MXR6lRp93w6PZdu36E7UPT6kk5f2IujE/GSa66Pgsj56e/69m8+3GhUP+d7rv56Y+vrHmQmcQeTdL9nZfarv7myuH/yzOkOzZoEJFIahABJjBAaIQRCWA0qpUFKh8cPrufnPuDwtluW+PZXL7Fzc8j5xSa+V6Xqe9R8l3rVoVOVNPouY3WH3iCh209YH2j6gaEz8Fmar3D6lCGMNWfOx/i+AQSeMjhS0OsrBC5xz+ElOwS7Nhm2be4RJB3ufFyx//AEr7vO59rLlvnInQZP1Nixucdzjyg2jyummz0qqkoYucx1oF5x2LJe8Mz+kGt3V3nlNQt8+I4+ntvgNTcaXL/Hlx8L+cKjdfYeq3LRpho7NibMTITsnI64ckeCUhpHGcBQ831mxn3CyKXT83jhkEt34NDrK7oDSbcP3YGh27PfvdNP6PYN7b5hpQ/zPcXssqE21uIn3jDPv7gl4OqL6pxbaNLqVuik4O70Fb1B9m8KegPDIDSEkeHLDzzmetWp3xyb3rj0Ta+98d8ttfofnhyr/u8LcJ20AP2DvcW73zN7/L7JsBdR8apEFbv0YgSgEICQCVKCFLaTRkmDkgmelDx3aIanD9Y5dHaOt93a5dbLB4w3miy1atTbFZp9j27PoZOe7P7AoRc4DALDINSEkSGKDHFi72HsYTRIJXAdQcUTjDcEEw3YMK3Zsr7H9ESLLz4JDz7tIvUYr7vO5SWXdnhob0Q4aHLLSwStfp+5xTo379ZMj/eoOj6DWDHfjlBa8JLdDrVGwFMHKrzi2jFuurrDUwcUmDGuu9zjB968xJeeCbnn8Tr7TlbYNqPYMFllolFjrAFVH1zHoCRoA/uOWTcpigVhDEGE/Y5BQj/QDAJNb6DpBZpuH9oBzHclcx0I9IDbr1niLbe2+M7XaOK4yfmFOu1uhU7fypJuX9HtK3oDQTew4O4PNP1BwiA09AeGU+fPcfhP7pxc7oX//fu+9ZXO0krnA5Pjjf/9AN7rrhBG6geO7H/4PStnH1yXRH2UquC7hsjTJBpAYoRACIWQIgW4RklQyuAog6s0VVew0Kvy8Xu38OWn27z8yhXeffsKV+7sMjVeY3GlRqfv0+u7KbBtOn8QCoJIEsWCOLZLfWYxKmlwHKh4UKtqJhsRm9f1iOly6EzEnz1Q4eipOuN+lRsud7j5qjaPHWxx91eb3HhJhW0be3z0XoESPs1GxEo3QBtQAmaaPdodDx1XecvL5/j4F2rsmq3wpht7hNEiDzw/RZRUeOnl63jTDW0u2driy0/1eO5UjWePeWyZlEw2BTVf4Ln2IpQChDBoA1oboji9WCNDENkLeRBCP4TOQLAcCJY6IJwB1+xZ4d2vXeHllydMNasst2u0OlU6PZ/uwEqSbCXoBZL+AHrZhTNI6AcW4HECruvQ6rb4whe+tG7blHzP625/mVlYXP6j6amJ/z0A3j7125xdvJiFU1/43l5v8N5zJ/ZPx+EA33ORUuO6mkpiA7ssRBAIpJAo6SBlglIiXZ41rjL4jqHqCJYHisXWBJ+4v86jL3S55eoV3v2aFa7Z1WIqqRLHPr1BhW7fpR84hJEiiiVxIkm0QBths6DC4HuaWiXG90I8N+DMYsAdT0gOn/Y4dnoCpX12bfS4bKfiukvbKH+e54802Dxe44qLYMPMMkvtJldulsTa8MXHfYKeZLwe8/qXDvjcAxEnzzfYc7HLuZUBLx512bp+gqt3zvPQcx0eeVEQhB6X7pzk0q0+l27pcOTcEofPwOP7axw6WqfmCHxHUvcNFRektEfMGHuxxgmEMYSJZdz2QNCOINQx2gy4/pI2735tm5dfmbBx0mcwGGOxVaHT9ekOPHqZ1h4o+oGgP7DOST8F9yBM6A80g8BeRGFiSAxUXEm31ebjf3Hvun2Hzr/Xr9bjD/+vz3zkyy+2+dB7vvufL8D/r/d+kMaWz1Dtmu8U4enfCVZmx5tVhfGtIxAnEhBk2BYChJAoKXGUQCmFUgJHaRyV4DoCz9F4rsF3DTUvYbwi6AQuy+0JPvVgk3ufHbB+ose7bmtx6dYBg36XK3Yatm5QBJFLkqg8zS8w9iJzEk7MGo6dF6z0NZ99qMaZhQlM6DJRUWyacti+weGizXDFrjZaLvD+z9VZWhrjxksdrtjV4svPCkTssm5CUq/F9CIPaSQYiXI8WgPB7JLgclPjtus6PPxUlU3THjdeMcm/fPMCH/pCh8cP1OkOXBZXGuzcVGXPxh4v3d3hW17R4ezSEp99yGex53PinMuZMx6uEkgpEQi0MSQaIm1IYs3EVMRVl/cIgohLtwa847aAdWOKyYZPFFU4N1+h1/foBXaV6+fAlhbcgWAQYFeCIEkBrhmEJr8HIYSxINJgjGLvsRWePvzo9OZtW37n2is3Rh96z8UfO3/0t9hw0b/95wfw//TrH+cnX/cG8S//g3jndPWFP/zWG5+q7dlao92rEkQucawIIycNLC2LCqGQApQEKWUKbgt2xxG4ToLnCDxXU3EN1chQCw1jlYSJqqAXSjphnWOn6/zaxyZBx4g45rqreuzcEBLHoI3GGJvEkUIglcBxPQ6c9Nh3uEK94tDwJNM1wcyUZN2kw6YZxfaNCXu2r5CIRX73001OnBznxt0ul+5I6Mcdvvq8z3jVZWrMMN4IqVWtFNJa0hoolrqGxVZCq1vlZVes8MS+HvtPKsabFV56+Tg/9JZFfu8z8NThOt2+YaXjMLvUZMN0jXUTA7ZPDfi/39mjWWvx3DE4cEriugalDEJowNj/GYhj2LEh4ZYrY5LIJYp9jKkxCF3OL3j0A7uiDUKVy7d+KBgEgkHqdwehYRAmBIEmCDWDSKfvpfcIBpEgiCGIBUEi6ESCVk/jN54bf83VZ/7wv5xejM8s/rtPnDkwYTbv+f5/PgD/jd/7GLu2NtXvfOEv3z53dvYjH35kqfLcvjq/9sMtLt4S0OlXGQw8XMdFKTcNIEt3pVDK4CqJ61jN6bmKwJUEocYPE4LIUI00QaQJQ0MzhiDSBLFllUEkCRKfKKmw/3CdZ/dDYgwW2lYbuxI8ZWs+Gj5csRGaVRirSyYaiqlxh3WTsG1DwMaZFSKzxO9+eowjR8e49iLFRVsku7Ysc9+LMbOLY1y3UzLR1FS8Pr70McquUsIY4iRkuVthdtHl2kurvGR3h4eeqrB+QlCrNLh2t+Yn3r7I73xG8+KZBitdzUpHMb/sMD1eZ6JZZaI5RrMWMVOP2H5tiO/GuE6MUglS2GDCYC+qKFLMzTtEsSKKFWGkCKL0MZQEkSQIJYNQEoTCBqihIAgNQWiPaxAmhGGq6SP7/iC0wB5EMIgFvUjQjgSdCIJByNXbl/iVH5jjFRfP1ubnmh8R/JFe6uz89P6nPpZcet13fuMD/IMf/jhjjYo6dXr+HefOnv3woUMnKhONGl98cj3uBzX/5QdX2LMlwnOq9AaVVH7Yu1IOShpcZXAdhesY3FDiucKeBFcQeIowskCPIkMYJ9YViUv3BOLEkCQ2eE20QGtycIt0lXAkuC74jqDiC2q+pF5TjNUkE2OCdZMx2zf0aNRX+PTDIQ88P8nKQpOrtim2b3S5ZOuARKzwxcdr1F2HmQlFozbg+SOw96jDlVsNvUBx9SURV+0ynD+XML/s0R/UeMMNHb7yXJ9DZxT1qsT3mlx5keaXv3eR+1/s87n7p1lsG7avS1huOYw3FWN1l0bNpV41VHyN72l8J8FRVmrJtLXSGGzCSgtiLYkTQRwLolhaSRFJgsg6L2EkCCNDGEIQJYSRJiwRRxCV7xbc/Qj6kaATSToxdEINUY9rti7ziz+wyGuvlcwvj7OwdLKSyOYfa6f6fVpOfPLh+z+V3Hrbt35jA3zDlCsHg8G3z86e/f2jR49VmlWHgREMkiqfe3QDUSj51tvavPPVbSbHIrq9Ckr5OCrBcVxcJ8F1HNzIwXcUAzdlG1cSeoIwEvbkRIoohjCS1kGIC9svTjRJYt2FxKROSV6QZd0ZJa3s8RyB70kqvqReFTRrhvGGZv1kwMxEh9is8ImvSD70hSnWVSpctU2wbaPLjk2a7RuX+fRXDUtLFS7doJhoQqMWMXtcMrfs4+2EIBLMjEnGx+HQMcNyW3N+ocIlOyq8+roOdzxYYaoBvueh5DhX7hL88JvmcOUcf/XQBHvPVFjfjlg3HjNWVzSqilpVUvUdfA98FxzHOkxSgBQlkGMv7ERDkgjihBToECWGMIYoSiwpRJowe4w0YQRBnLkyqQUZC/o5a0vakSYcRDT9Dt/2TQu885VdXv0SxXK7SW/gE8U+c4snK7Hj/2EilWOE86dYnvnGBPjC6Q+TJCvfe/e9p3/jwOGzTSEVSkBVacY8SWJqfPGJDXz1hQrnlxf48W/pMtGMqPg24+g6Ma7jWa0dJoSugxcpgkgSujaVbhlHWCZKWSmOIUogSayToLUNuLQ2WQ9nCm4LcKvtBa5jAVLxoVbRNKox442YmfE+0xMrPLw/5I/vrnLg2Dg7xlx2bYAtGzy2rIc929r04jaP7WtSVS4zE4rxBow3AibGYjzPQQh7cfUDj6V2xErP0OrGzC17bNvQ4KZL57j78R4HzjSp+RGu8hBijF2bFd/9mgWu3zPHH9/d4LEXxlnsOqxrxozXYmoVSbWi8F2B70pc18YqSpHahxblBtvDqjU50ONEp6tbai3Gmjix4I4jCGNT3CPrygxiSyq9WNCJBZ0Y+v0YHfeZqnb4sW9d5P/69h5V32d5pUFvYBNQWkscVzI/f7x5bDn8XcYv9n7x9z71of/84/94LP6PBvCFpRZKqh/840/82Xvuvu/UVHtJYbBeraeg4RgSI2jJKq2B5Df+3GXfkWXe8oout13TYf10QLtTZRDEeK6L77kEoYMfWXsv9CzAo0gSxnbZjeLU005IrT9S5pZoQwFum6RMmRscZRMmnmuoeJpqJaZRiZloBmycbjPb6vG+z7p88YlJlpbrXDwj2LZOsHmdx5Z1gp2bBjjeCh9/wOHoqTq710smGpKxeoKUAWfmDb4jkQKMEYSRw/Z1bR4nod1TLLcNs0tVdm+p8C23tfjklz2Oz/q4ToQQLtrUiWLJdTuX2f4dbb74VI+PfnGSJ4/X2TwhmK4n1CsJFU/guwLPtbGKo7CBsxR5TYbBXmTaYJ2WxAI+A3mcWElnwQ5hYmtdwix5FAv6MXRiSTeGfqiJeyFbptu88tpl3vrKHm+4TuOIOksrVQaBTxC5RLHEAL6r2bohplLbO7X94on33nzzu9XP/1DrA57/jzNx6x8F4LMLLRzX/Zcf+4sH3/Oxzxxat7SkmKwJ3HTZ9BRo14JNCEEHn3bo8PH7fO5/rsO1l7b5jtttFdzUuE9/4NMPPHzXJYxdwsjJA6U4VkSJJI4lUSKIY0mSpDXimdbW1no0KbhFunQrZdLgVeO5Gt9LqPoxjWrA9HiXftTny88b/uy+MR57YZwJz+XKzYaNk5L1Ux6bZiRb1odctHmZ5473+exXZhhTDjNjgmZd0KxFtHoJX/hqhYZnyw60gX7g8JZbAj7/qK2JaXU1c8sOW9Y1eNutXR7b32HfIY+6H6OksCDXNQah1frf/eoWuzfO8fH72zyyd5yTy1U2NAVjFUPN01QcjedirVVJmiCz3zvLLehUqmldrHBxCnRLEBAlgihJgZ0IG0TGgm6CjXnCkHq1x7e9bolvf02b63YnrJ906fXrtLoVgsg2egehS5wotBZIafBdzRVThor7/Lqlc19+z9Tm1+goWP6g60/80wb4ysoKKytdKg7f84UvPvjrf/lX90wlvRXWN2Vq+9mDbFIBLAApDZ4UdJSi59Y53fY5+2iNR5/v8smrOrzj1X1ef8uAyXGPMPAJYpcwcolihygFepwo4iRN2CQFwLVJmVsXNWUi/RxK2joOx9F4boLvRVT9kEa1T0KfLz0l+di947xwbAwR+eyYMGwcN0yPK2YmPTZMSzbNRGzb0ObUfIc/+FydOKiyZYtgvOHQrEOzFiHckHa/znjDIITAGIhiyaSviHVMJ/Lo9BKW24oz81Uuv6jBj3zzCu/9U58T83UcFaUXhkMcVxiEkg1TPtdd3Oaqi7q8eOIMf3ZflbufHOdsq0rdVzQ8qLsGzzG4Chxp0/lCDFfXacBoe9ElWpAYiBNh/fNEECY2SdRPBP0E+rEhjmN0FDBV6fOG21d41+0dXn5lxFjVJYzqLK/4BJFHGNnzFISKKHYIY3uOjBEEWhG1ash2n8WV+9at71Z+fcO2W+LlxbP/S3l1mo1/ODb/BwV4r9dnfLz+1kcee+L37rr7S02iFabHZGbJphk28uBHSoNKwBHgSagoQU959GKHuaDCXz1a54EXerz0ni4/+a0dLtvWZt24ollzCCOPMHaJ4wLkSQZwLdFGYgxpn2YG7jTVr4x1apwY34txVUi7HzHfjvjtT1c4NjfBU/vGMdpjqipYN22YHhNMNRVT4y7rpyQbpmI2z/SYGl/mi09rntw7zlVbBBMNSaMmadY09WqIcAN838FR6cVtIEkk/cChP4iItaDT13S6hqW2y/nFJjfv6XLT5St8/J4K1SWFIyMLSOMQJx5hZHs8p8crXL+ry/UXd3n8lWc5MS/547vHmVupcXrRx1OSuivwMhkm7QqaE3kmVbBMHhtBrCHSgiCBQQyhNpDEEEdIFbBpos9V2+35uOGyhGbVIY7rtDoW2FHsWAKKVL7S2rsk1hKti3NijEu4HHDy3ANTe/qV37t49zXLYdD/7D8kJv/BAL5v30E2btygPvSRP7143/6DzV53hfGGQ5SYVAenTGFs8KekwZHgSIEjDW5s8BNBTQn6jqDn+PQTl8Wwyt1PjvHw3j51P+D73thiy1TMjk19br6igyMUjZqDEFau2KykzYwaU2JuDEIalLCeuSEGGfPiMckT+x3ueKzBiycbhHGNhqOYqRom64aJmrE+eNNhcsxhalywYTJm00yfjTPLPPBCwPvvWMfGcYeZJjTrimZd0KjFVP2Ahw8qBqGDW7egMkYQxpKKo7hmd59Hnx+3hU/9hJW2y8KKz+zCBD/ypllOLyzy6DMzuBIQERqIUwAFoaTbd5hoVBhv1rlpd49XXtXjO141z/5Tms8/VuGx/VUOHq0TC4cgUPQihRIyrcosB55pTsBoYm0wWuOKhDEvpELETdd22blxwJbpiHe/PqDqSepVlzCs0epYto5jlRKOKrz2WFnpmJZDxInI7UrbZghRIun1O7zwzEPNpYXzF7/6de9Qp04cSbZu3/VPB+D79u1lw4ZJ7/HHn/h+TPwbS0uLVH2XWIOTBi46rY9IEkikyAumVGJQMbhK4CUGPzZUEkHNSVkkceknLr2kQqeT8Osfn8DEEetnBly+bcDUWMw7Xt1n27qQKBKp3pZQYu4s7S+lRkjBp+6v8tyROsJxOHG2xpnZGpWqYswXjNcNzYqmWYFGVTBWUzQbiomGw9Q4TI/HrJ8asHldm8Ss8KmvNOl361yyxdCsKRo1SaOqaVRiXDfki49WCHoSdx3IFExRLKlXFW94aZ8Hn9Z0A0m3n9DuOax0HM4v1rhsZ4N3vLzNUy/WOLHUQEkNRKledokS6yYNQkl34NDqejSqNerVgMu2DLhxz4BTcy2On1vBcROePerwyftqCKUsuEfnDxoNaDCGKEzYvj7mXa/uM91M2LPdsH4KktglCBvEscty2yWOFFFSrKBRlD5mwE4kcWyTW1EqHa2rZQEepxo/TiRLS4tMzuz4jeeefaq3afP2Dx08sC/cveeyfxoAP3P6NAsLC7vPnDn9vueefUpWfZlaUBbcTmLQibFXrbJBjKOM1XvS6sQoMbgJxErgJ4aKtj8PtSFMBIGWBIkk1C6Rhvluk/ue0xgS/vIxO7IBo9N7lsVLLbKsIlFIpFLEkYPUDq4jafiwc8ZQdzU1X1PzoeYL6lVJo2rl0FhDMtGEqbGYmYmATTMdEpb57b+o8NDz69g1BRO1lL1rkkY1plYNqdf6VKs1fCVRMtXg2NUsilwGfUE/SOgEiu5A0+lr2zJX9zg9O8bLLg/4iXfO8pufdDi54iOExpgInRii2CWMJIPAlrE2+g71iketWqHm16j4EY1qyHWXhHhuxA2XxLz79h6OitMkkEYIMyzKU0mntUQIie8qwGMQOCwuO7ZuJ8linvQeyyIGitN7Cug4DfrjNCaKY0GcMncG8NyLTwxfffQJOYjk+7rd3leCIHjhHwKbf2+Af+W+zzAxLquHjxx6++GDR0S14lhwx2bIY00SkzO4Uta+c1TmxWZMn7K8tsFOrE0R2WurD+1dEGpJbCSJdoi0T5LaXuVbnqUU4AhhM5UKKlVDxTFUVILvgu9AxTNUfUHVk9SqklrFsQCvC8YbmslmzNR4wLrJLpvWLfL+OzQfvXs9W8cV0w1Ns65o1BT1GtSqCY1qxLlFzZFzPhXPlt9CFocIBqHDzg2aDdMD2gOP/sCkLC5Z6Tg0qhUatXHeffscR8+d5w8/uxlHOhg0iU6ItSGKHYJQ0Q9tUVSvIqkNHKq+S9VPaHVsjOG5iU2YuQmOtI0SUiZp4G/vNk4SgEhBLmjptMpS27gmSSRaS2JdxDtxysBxFtwnMmflOBEpaxePcWrd5q8T0kSTLQ948slnxbbtnbdv3LT9yEf/9FP97/qOv59H/vcGeGJc79z5hZ/tdWZ/1pEDWatKoghiZYhikQJXp+C2jK60sctUkrF5+qWz5IPOLghKd1Ok2dNKOevlijxQKmtuyIJZG1g5UlvNr+yK4SqB6xjrGzuCii+peJKqr6hWFI2qpFEzjNUTxhsxk82A6Yke29Yv8tjBgI/fv4mJis/6hqZZExbcVUm9oqlXYhq1gMcOwLP7a1w8Y1LdW6TN+4Hihj2GS7b1efyFcXqBoT9I6PadFOQutUqVamWcb3vFEs8enOPRfRvAKLRObDlsbIgjk9eT9AOH2sBQrSgqnsb3XHwvwXc0jpPgOlkJhG0YkdIWtSFMVsOZAjwLBG0Jsc4cqUw765IVm0mPlJGzn8UlEGe/GyekALcsntuRadY5igztTlcmnP1P1VrdGx9r/AoQft0APhj0ZBAMfumuOz7+7xYXznm+61rrT4CMbYIhTgwqth06sbQORpZcSJSVLxa8otDoWpSyjzYw1SnIdZqJy5IVxhhKmfehFbdwa2xCR8k0Y6koFW3Z7J/vKSq+ouoLalVBo2po1hLG6jHjjYCpsT6bZpZ59ECfX/rwek6eHueiac14DZpVRb2qqFegXkmoViI8d0BrYFBSWf9fFp/MnmxJFHs0qxG9WNNL66x7g4ROT9KqKmodn4rfYMeGiF/+/ha/+BHJV/etx6DQRpMkmjiJCWNNGCkGoaLvS6qBouJJfM/gewrf0biu9fsdZSzAlQW4SmWKEGa4QTdN7ZuUREwWHJoiSCwHi4mWeQlAkjF1Oq+mkCTkybc4KXvumjjWOdBPnT7jTU00f/rNb3qd2+v1/mOtVvs7p/P/zgDvdTskcfwrB174yk91Vk5UXFehkrSHMg0iowQLbpUCPbEg1jmoM7AXIC8DO3deNBhtbBd5WgJavjMC8MxvFxm4hQW3Una1cNJWNNeR+J7EcxUV345kqPqGekXTqCU0axFjjZDJZp9NMys8ur/HL35omgMnJ9k+aR2WRlVSr0nL3lVDrZJQq0REScif3NNAKoUrDUoUNmFW+x4nLt/9umXuejKkE/ppY3VCt6/odBUt36Hi+fhukz1bY/7rDyzyCx8SPPLCerSRJNqm1aPYFpoFoSao2HJX3xdUXIHv2cym55g8Y+sojVTWG5fC2EaJDOBFyhNISQSbS7BuSxrIZwBOpw7oPLmWgjxfeUWxOg8B3KSrkE6zp9quSLEtk9574Fjlzrvv/7ff/KbXiHar/XPNseb/twDvt/djjLlpZe7Rat3vEToOUSQQsbDBnLQsrqS9WpW0QB8CdWLQihzsusTQ9nn6qFMWMSZlbQpvfeRzZQDPajCyTF7G3o6T1Z1IXFfa+g1PUPHtzJOan1CvWnA36yHjzT4z4y0e29/jlz44yYsnptkyIZiql6RJxaFesfUr1UpM1Q9x3YAzixO4SqCkTm25IshMEkkcKzZOGOI4oh1V0k4Z2+PYGUiqPUXFc/HcCq4zxqVbYv7rv5znP/wRPLp3HYmWFuCJIYqTlMk1ga+phJKBp3IJ5rrgOlai2ToVa9PKzBtPH9fAuJUrpEkhRJ4c0mlyKMsWJ0np/bK8zIFd1AQlpfgsTiywo0TnJQLL7QGfv+eJ6oYtO2+Sf48dJ/5OAD++/3O0O7Imux/2mn6PuO7RGwikUCm4jK2BECaXBokqqtgSVTB1BvZhYGcyxORAN5kcyZ5f4LNJURRRSZmtJiJNW8u0USKTJ1Bxwfc01Yqh6lv9XKtGNGsh4/U+0xMtnjw04Bc+MMHzJ2bYNK6YqWvGqoJGRVKrKGpVQbViLw6b6g95dJ+gO/CoqKxhw2rwrAkh0YIodqhXFDdf0eGxF5v0ItIZMAm9vqLjK3xP4bleqp/HuWyr5ld/aI6f+Z/wyL51RFoSaZ02Sxc9mIEn8T1t2dst6ugdld1JZUoh47Js81ogz5JCJgN4Cvgkd16KAq7yyqvLoNYls6EUk2WxWJQXdkEvFJw53uLnf/cO77d+8nW1D330873v/65v+scHuDGHgK3jJ/Z96g+63eQVSkZ4rkOiNcZ2TyKEtsCKRSoNTLFsqeyL29faEQVLl1m7BGidA7toCsaYYd0tRNp9n4I7LTJSOcBBpRWDrgOei+0E8tICKz+hmsqLRjVgrNFnotHmmcMBv/CBCZ49vo4N4w4zNc1YFeoVQb2qqFUVtZy9Eyp+TKM24IFnPVZaFSYmijR5BhidatMoUaybUtz+ki4PPKFtF02oSyCXVFxJxXVwHQ/HqSKl5rKthvf80Bw/8z8NjxxYR6QdorQC0Ja9Wib3I5lXF3qOxHHSIiwpUE52bMg/X3YRZlJFZFVpFAmh0bsuPWpdehxZkTNgZwVeSem9rLQ5ygq7QgvyIExohL1X3PvUiT9657ve+aNffvTMyu03/e02yvpbA/zYkVMgzv+M7j//7TqaA1G3zoSj0VqQNVRaBpdIBSpJgZ1kV7hl9EJnp2BPkzMZew8FkqPMbYpirQzkWf5Clmq8lSoqBh2Frc9wDK5rG4srnqbiJVQrMbVKRL0S0KgNmBxr8dTBgJ/9n9M8c3Q968Zd1tUSxmomBXfK3hVJ1bfsX/Fjan5IrAM6oY9QEjdj8FyDi5Td0gKxyKXuDWy5QFhhIgP5IKHnWQb3PWlr4p1sA1rDlTsM7/3RWf7972se2b+eSDsEiSBMdMrigkqk8V2D59reVSeNO2x/q13R7PFJu/Kzx1JhVn5hlmOdEXDnJFQiJlt7n8ZOKYFlMjRj9LgE9LjE4lGKEyUFJ84s8sjzR779lbc+eiQOov/wj8rgJ0+eYuvWLdt/5j2/e9XlG4/yissTgrgYxKOUwTEmL0WVUiO1QMtUe0tRLF26ALvOl+3yARMlpiiykqa8ZmasXQ4q879tO3RUGkw5TtoZlBYhZdWDFTdJdXNEtRIw0ewxVu/w6L6Yn3v/NE8fXc/MmMNMNWGsYmik4K5WrJ2YgbvqJ1S8mGY9ZN9xw/1P1fGkxFU6DeIKjyI7BlGiiLXDbddFXHxRlyMnq8zUKPocg4TeIGVhR+E4RTufEIYrtsOv/vAC/+F/ar7y4gyDqGqTYbGhli73vosFuZOtXjqVKBKpknyFU1KUAC5KIGeVXilAboYBXgJ39t6o7CzkCkMyNdaFbajTc54YQSIlzdpBxg1XvfSmn94+P3f2xMy6Tf/wAD9z9hzNZnPHY4899ltRO37rM8tVrtgSo9IAQAobnWesKoVMi6mEBfYQa5s0Gi+WtMKOSpfxUZdklVuSMvcouIWxq4YkB4NdYezdc+xoCt/V+F5MxYup+CG1SsDkWI/lTo8HX4Bf/dgGnjs8zXQK7vGqoVEV1Csi98qt86Ite3sW4FU/IEwSBv0KFWUvMilKSz+ZZhVpoOlYLe8EBKGhH4kSwDWel+C5Dq4rcZRCSTcHOAKu3in41R9d5tf/NOaR/VOcbTUZ1CXjiaERGyrpxAHfNan3nzkpJmfvTKpkAM8/b/qhyzjPFWJ6UoqVtVR+WwZ7WbKMPE+0GSK7OB07oVNT0BGwoQmXTCXMzcm36r1PJnsuu+zfzs+fPz4zs+EfFuBz50/TblVuPH780Nur5iQXbZ+g3Q3wXI3RWV+jwcbZNsCUWqJktjRlSYOsP9CkSRqTRuWiODCsDe5RVZidBDvuoahQlBm48+FAtizWdXQ6ZiLJwe17Kbgnu8wv93nPn9T47FdnWOhOMDMmmamk4K5Y3V1LA8uqL6n5JmVwq70rfgiE3PuMx3LkMeUzVI+NGF6hksQ2PzR9h1df2+PRAyGdyGcs71jXeIGtVfccC3BHGZR0EdImaDBw6VbJb/5km88/2udXPrie0wsT9Mcdxj1BI9bUYvAjO3rZU3agkZsFmlLkQXD2WA7UyxemEHmvSMHi+bkqgb3kdmXnNMlNgyxBN8rmhetisOex6ht8R3D0RJPOyiluvGn/2x3X/5PBYHD8H5TBB4Mevl+9ZO/zj/6blfn9bN+kaNZsBs06JVaiUGZSbVDG5NVjQwAvP+YSpKy5xTBrl2VJeqAzZpH5rEJKnyWdfCUtsB1lwe06CZ6b4LkxFS/C9yIa1T6O0+OBZxP+6AtN7nhoHaFusq4pmK5YWWItwMwnV+ldpMxdZu8Ixwl4eO84vdBhYy37PKMMnllpkihWVFzFTZf1ibUFeD8Stms961wPtA0OHZGyuAWASJPrBsH0uODbX9Wl4Z/lg1/o8+DeKc5HVXoVSTM21B1jQe6kcYgyaVxiUpBnx1AUteMSJAWLl3cULJ+SnM1HVt7yOc2AXWb58vuJHg5YIZ1y4Bg6Pavvv/LIc2zavPPfvPIVtz7d6/UO1Wq1vz/Au63jPPnYA9TqjU3z54+80mWZsTGF79mUr0g9VCFAGoORVmYoU4C6OKHDr4e0NuU64QwIJeuhbF+VmidyWzJNpkiZjXZLu/NT5naVrcXw3QjPi6i4IbXaAM/r8bG7HX7tf63jyPwkrl9hQ0Mw6Sc0fUPdh3raYV/1bbazkiaEbP1Kkq4EVp4stBO6oYenFJ40eYBJ6atkF3aS1myEsUvVHbBhvM9Kr0E/Eum4NRsruG6S2nwqtTtVPpi0CFxt5eNbX97lhsvn+dU/HvDRL86wFNfp+S51V9J0bA2O79iuqqwZwsmSPunKJ3OpUiSAyqQyLFbWYvPVMtOUpEtiRsFe/t1Cehph2T0IDcYI2t0lnnth/yu1TjattFqH9h48yeW7t/39AG5Mwo03Xb9j9sz+9585/ALjTTtJylUax7XAkaUkgTFgZMHMOr2brHXMiDxZYEwRYBrK4C6VupZuAlOwSZp9k2WAS4OSGjnE3EkK8hjPsZLE9wJ8t8/x2Zg//Hydz3xliqOzEzRrLpMVmPATGr5JU+8ZuGUKbpknhSqp9vY9e+E06wGfftjh0IkqlXQCV94uRoHyfIyDSYuTYodLt8Obb+jwR3dO0a05NNPZI36Yxg1K4zgyHVtHCeRu6WTZVWHbtOTnvqvHVTtP8z/vmOTo+TGW4io916GuBLUU6J409sJJXaZ89cuOa2YfYvV5kek0q33ybKXNSidy33y1rahH2NpiYliWSmGJAGMD1CixuZX7H97Ljosuff/1L73ljSsr7b9WqnxNgOskQEiPxXOPbeksv7ir6sxT9bxUCqQTXpUeShBkzFsGuL2C0+eUno+wd77c5ayQ0bYZ0oEZsLMJWFJmANepa5Kxt+3Md5wY34nx/QDPCegkIe/7hMcHP7+BM4vjaFVlckwx6RnGPE0tZe5anr6XaZ1KKk1S7zwHt2ezl0EUcui0Tzf0mfBTFydLOmWuRJaFNaWalMihWXfYuSVE+QM6YYO+J6hGhiADuJOkiRplfWyZlQCvFbwqZsZ6/Mhbe7z9tvN88PNt/vBTUyz06/SdChVHUXMEVWXr772020dJkWY3SVdDszaTMyxXcnCvxeYMg7tManoNpqd8njUkQqA0hNIghWKhtcJDj+/b5XqVLW949XXHB0FExXe50O1rAnzQO4/jNmeUUp/oLT7m1msAYcGcpTFr5Ut6mJHFMNBLzzHFkM2cudf8JKZkB5ZHu5XZO62SU4kFuJPgqATPjah4IZ4b0hqEPPyc5GN3N/nUV6YYJA08z2PKE4x7mrpnqPmGmleAu+JLfF/ip9LEJoZSZyIFuOfazOexc4YHn6wRRi5+3awKMHPiKEs2LQkjhes63H5Dh49/qcuB03X6FTuaIXANXgxupHFDjVLS+tYyc6oKYA157FpS8x3Wj/f599/W47JtAR+9u8ET+8aY79cZKA/Xdag4gqoEPxuwlNmrMstGUwL5cM3KaHFWmdEzgsqZuczqo0kiRFrcVQJ4er4jYZBJShLYNrcv3Pus+9rbbvjE3ELrJcsrnfm/M4NLd0a2l/fduHjm7jFH9fFcmX+FoS/LCMAReUdNztSUNXb2Xgb07L8ZqQrMj6BBgmXyPKWs83JPma4mjkoswFWSyxHHiWh1Ix56QfDhO5vc/dQYS60GslqhUVWMu4amp6m5hppnqHqkrG2Zu+pLKp6i4gkqHmmFnk7BrfFdq7+VE3DwNJxpVWxiJdW3w4mTon7G9kGmZaRaEoYO65uCS7b2ef5kTC9y7Zy/CLwQCz6VTdbNEjUwWqeRXTyZDRkltj78Xbf3ef1Ll/ny0x0+8sUmT+xrstip0ZIeXc/BUwJPCnxp+2MdaXBEFtekUwhEWvbLagZfVb+SY6EsUQrAlyVJVuqc/W7+bwpyR478bwoIIv7kU/eNfc87zI03XXvJnXyN4UFfW4NHJ33fjX7fhIfrtUqIVMVlmgUbJkvpZqydXrnDoB4Gtj0RWXH98BU/fNTK0sRQLtC3skSnmlujZGIH4mduhoyY78Q88KTDFx5q8NkHx5hr1xGVCm7DpenAmGs7eaouqeyAqifSu0xLTlPd7Qn8jL0zgDsxnhdT8UKMibj3KZ8T56pMTwpcqdNVThSNvsX1WpSfppKiH7hsXy+4/doen/lqSDdy6UeCimvwYsviQWRKq5TK/WqEHJIp9i6LRgVt/faqH/CuV/V57Q2L/OVXOnz+oRoPPNdgrlWjLzz6noPjKhwhcKXAlRJXmFRqGRSiJA2H7cORr5d+luIxlyJZCS7DwaVmmO0p/xsjF7EEHtt7pv62gfn9Zw6cvwzo/60BvtjSdJP+dwYrXx7fvO4IJnGKTZl0VhlXSAtKHz5j5xzoowye/Sy7GMo2SXqIysugKAFbCJ3HACIFuOMkeE5EpRIxCBIOnIHjZxV/ds8Ydz7RZG65Dm4Fp+lSU5KGa2g4mqprqLpQcS24K66dSWjLTGXpLtKfmxTkOge559r2tCNnNc8f88F102XelFL0YggF5eU6r59O7DjnK3cGXL6ly/4zNfoVQS0W+JEhUKTWnk7ZO3NTMguy0Cq5z55akVqrdPqAyyB0qVYDvvcNAW+5eYW7nuzy51+qcfxshf1naoQrPrHvMHAcpLKjqxXgpI8Zk+fShSL4hxEmL0uTIWCLAuAjj+SPpnSR6DSRZH/RxJruwgKPP/c001Nf2yq8IMCXlldEGIU/8Qd/fGD84nWGGy7pc+0lcTrG2JZ6hqFliTJgTQnUeftT6XnhkhRFPPlA8AzcongUWbdJxtpCp7s8JPi+naQaJwnnF+Ge+xyOnK5y/2NVzixXOXK2Dr6PqjlUHEXdMdQdbV0E1w7Or7h2XJsFcXaX6V2lACfV3Cm43QTftextL6yQY/Ow73gNVw7bg7lEoagHz/Vn5qTotK8xdrl8e59L1vV44WhML3ZpRILAAS+2MwFVCeBSCoSUQ0yeAaTIGoo8mM36KKPEJXA9mtWQ735dwMuvanNmuc29j3scPeVz11M1zi5WSPouWjpEnkJIaVeKtCtfkmY8IZctGSGNMnAmy4aCTlKfPF/9M+rOempTIacN6SwLhBMjVcxLdw+4cVefl+26b/o1r/v3/+anvvPoe4V30Zrh2wUB/kd/+nnCKOEjd4TE4TZ2ru9wxY4et13X5/IdERsnInbtMDhGEEfpHBItSYZYW6buyChzi9JRKAeWmdYyI8xdkiIqwfUTosRw9JTg+aOKex6r8cIxj73HqrQDnyD0wfVQTRdfCWoKao6mWvKBfSer08jKZm1duJ/KEs9TeJ5MLwBTaG83sZlF1+r8ihdhdMjskiQwPo4j8aTBKdlsIwSegzwxw/2OYewicJiZDJFqQDdy6TnCOh1RUTDmKD2UgZSZSQ2QDTtCYLQsmLw0GMlNVD5+ohd4bJgI2bY+4rqLAvphn+871uKF4x73PFrh+WMVjp6sEMUKfIWRCoQkkaVsUE7fF9Aq5QxXzmipOZ4tORmwM9PcWFA7JOzaGbJ5IuLSHQG3XRtw+XbYMiOJk+X6wpmHv13gvvdvxeAf/NgXWVjqqHsfeVH4QtFOxnj2RJXnj/W5+/EBY07Iti0BV+4Jed31A151bQha4LqGWh2MsWMb0Lar2mgxLEvyHNzwwRDCfnEhbd0IQiOkIQoNvYFl9OOnJX96t08vUjyzt8LhUz4LXY8g8cDxQLmopsKTgqqCmjJUFHacmUoLj5Rlbc8VNulRBrcr8VJZ4nvge6SuiU2Zu47Gc+M0IxpRrYTMLSfc80iDVsdnYkzgpF58VvQ1et7zc61LAaGWBIFiekrx+psH3PVEn5OtOn1XWpnigBsb3CjzrFOPXSbWLqQ860Tmf0MbZ2QWicRLFImjiN107EPkWivVjah7ES+/MuamywLe9soBB09Jnt3n0g8VH72nxrHzLghJr++QhCor38Q4GcBHLKMM4ENp6cIrFbFBaIPBgrpas4ktgebVtwa87voBV+yO2L45oaEkk3WHKN2KZjCoEg2OiNrENer04c/HWy5eXS9+QQafmmi8r93uXV2RCZNVRcvxCBLF/KDCfBxybDnkkRdiPvGliJmJCKMN1+4OeNdrBiTp7sAz45prrgyoVw1oC/BsCVt9zkU+nKfVEzz7nMNiW1KtSB7b5/K5r1QYRIpBpDh33kMLh8i4aOGC4yB8B0dKPCWoSEMlBbavDL4ytgbcST1fp2BuL+vLzMGt0h5NkbO352o8LyvQSnL29rwIpULue1rxma82UJ5j7bYh/X1hBs+88KIbXTEYuLzllj6ffbjNR+8doxtXqKc63M10eEReHpF1Cwkhc4DZPyVLWr8EcJ0O4XEsk7uOInYcnDixQFcJStlB+hOVmFv2xNy8J8KIgHe8qscgsuPc/uorPo/v86j6goW24tkXPNo9maokseYZzpnMWD1drxiueUnI9HhiG18SzbteM+All0QYLZgZ10yOC6RRaOMTRS6trksYeQShTxBKEtG9WrnN9wE/8jdi8JVWm7Fmo/nb7//MnjCMlKdM6mYIutKhLxWJ66ATj0DHzLZjZlcSMAkHT9b43H32SjTaMDaRcONVIY2qLaFcMz1ZvsxT12Glq3jieY92SyEdaWeiGMcyk3Ds3AnpgHSQUuJKYcEsDb7UeNICwVPgqWJGnwW5KBoeHNsIkDUel8FtGT4tq3UzBk9K9xjfiTAm5MyCRxhU8MckXpr2VmlV3lAWM726C89alEAuSbQijFwmGoqt0yGeGNCPffqxoOrYIZhZDUmW0FKyXN4q879l/4ZMkz+6yJ5qnTafFNIojpM0b6DSzQdiojhBRTaX4KgEKWO2TOt0xdBctm1AaPpIR9NqCZ543mGlZ4vrRjzeNRrCLR7qFcNNV0eMjRtMYhubqwqUyBwglzh00vjEIU5soBzHTj6xFhkpnXT3bN39zma/32lXq8NbFq4C+OmzC8zOLb/30KGjr4oGHWqeQsXWD3XSQZm9xCGUCq3dtNbVAjw2Ca1sQpI0tJc15+4vL0vlr8vw1y4tb0YIdLblAmnNqVBFkCNlamVloE7TzpJ049bMNy49OmknvSLdeo8c3LatS+Gl4PYc8hJTy+ApizsaL82Oum6E70ecWtD88V11cDxcKYoAM5cnYhWDD89qFGkDscwH64SRy7tf3+cvH+izd7ZBN3GpxXZTWlsFmLUCglBZTqAc7GWli5kUkkP1QPau81oYx1G4iZ2X4qZAV7JImtm68fS50OngoARHGIRJmK5pvullGkSSykxsGnJVyEnxXhabaQcdi/RilESRHfKktUpHVZSHDTl26Go6jzKMFWEYomdPvmpi/en3ahP/67+WwT/xmbuRUnqnz5yn4tnCmCI1nu5lI2CQwEAoYqnQxrEWDmndY6qnABKji7Oarc9DrF0GeLHMZsGLkDJvQcv+tisNvrDVgq60rx1JWlORdo9nhUQOpTkopDuzFV31BcBlLlt8z+QtbZ6nS4NzYtyUvT0nQsqQE+cF8+0KwnHwJUPyJE/Pi6FTOyQdhoCXOh1h7DLVDNi+oc/+8wH9xGGQgJ8I3MTgxqkOj8mdpeIwqqFOhSyms5N2TdFRlUsjjZNoEiVRTrZ9uUqL1RKk0ulKoQtrNgW5yP42esTKNTnQMwcsPwJ53iOryymZEtmKY7I5LHZV06VJWuWBnmHkEEYQL5/n8N67PGNW53tWAby1eBohBL4aUK8IwtjKE5F3XBrriwrwNIRaEBtBZAQJEiOH7Z+1gV3GuP3XyZby3ILKPFf7t1xhcNNVJKvxyJ7n76VkX5SCkjfYekpYsA+BW9pHLwN6Fnym4M66fxydSxS764TV3zERn3+4yux8FXdM4ZVrOMoOCiOKdChdPTqQUjEI7ATbN93a5eHnBrTjCj3HoRprwjSdrmRREJUVnGXbndtbFmiK3Ja01mE6U8WQTjkQOFoQK4GTyHQXO1vLE6dAL5JpOk+wSalLiTc9lIQrrN2SR1bKShd5E3JXLS/pyNwfXQa5TCWKLAHbbqLVDyS9ZcP5pdk1MTYE8E9+5i6q1erLHnzwKzdINBU3yzqa1AUxFpDCIBM7FdbTEBs7Ti0hnR6b+98FY63CdXbPkgUCVPYoDE56EWXVbUpk800KjZtNqLWPIh+FUAZ2PgdFYfsR1wJ4FnBmutvJZIlJ9fZwLbnnRnhuyPmW5qnDVXA8nFSeOKUCpSzbJ0YQbk9oqeou70uVuSceRS7XXhwwNd6ntVyjFytqCtzYfheVpINLozLAsSDP/5BcXRekTT6lSitNogWuFiRKkihtZ9ikIC8Xr2XlEDIDeQbq0oQsgWX1oqR5uJRj1UWeXoAwnCDM7M3smOikmH+YjWLOd4oLFWFkGG+4N1xz3c0vO/DCPQ/tufK1awNciQSTBN8kMNckSYznquGZJSrLOqZA1OAIQ0LaoUNpnFqJtP86gAuKwTgFe5ucwUdLOJ2sNiKtAc9KPW1zcdapYmWJyrtXCmBnzbeWvVPN7ZDr7cwStIxdgNvNqxMjBBF3fMXn4RcaSN/Bk8LO384rCIvmj6LibzSbWZQT63wGoCLRiv7A5eYr+rz55R3+8I4GYeLTTSSVxBDEpCtXuepPp3JOj1xQF2Jy0I7Mu60ycCdKopS2jC5lOlpCl0qRyzVApgD5CHtnGw1YrHwtcyHDSbkgT+bTtBItcxvVBpvZBNtsPyZJEMZEsblmuRV+U5Loh9Zk8LnZs9Tq9dd/5YH7v0tHLRo1h97A9u3JuOhx1HnbmMl1sTYGLcpFM0Xr2VoxxlDpa5qxzFg87wii0P7l0QYZc9stSLLXpAxO3oY1xOJpN4yrhsFtxymMMHfas+ml7W2ukzUcxKV7REjEn9/bJDE+Ks9elgPMoq8xczaGNDgj7Xpa2lEaSRZsOghc3vXqHn/y+YAVHdFPKvQTgRuTs7iUxo7JS4vOrF04qkVlyZoUJZALEiftdFcpyB2D0lauJMqgElvBaLPHMi9NLizKcnVnUcac9Yxm5/fCVFcutBuuW8qPS8nezGOHdDvEMLaDTI8cW6Yy1v2ul738tvtPnzl715bNm4YBHkUxQRBeHASDXToZUKs4hFGcf8B8DJqxpCCwHTxaFHW+Rfq1tASVGDt/LIG8YDgzDPCR56OaMwN9ebaHUqLQ4mnF3dCwmxTYjhKFk5Lbgbbj3jYmm5S5iwDTKbG374Y8dVhy6GwFo1yUlHhS44zWaZQE+KiLkt2H+lRNkfRJEkUUu+zaFHH5RV2+erBKpDz6saAiwU0MTixS+ZZ24cSpDkdauTACooLFRUkaZf2Qmbti612SbHZ7Kv0KcGe1QCYtE8iYnHz1yNg7CzCLWSur0nsjAGco610+JhkB5PstpRdsnNjdmOcWO3Q6vV1xFF6cxPFdqxi801khCgeYpM94w6bZF1sxcZZBTcGZ1zZLkOUqsZKmXPXhR/KWo42s+VLO8LKu8prvwnYrJIuw3fOiALcNMkXeLe7k4JZDAC8P/7Hd9uTAzrOVOXMneI5N7NiuoAhDxCfvrbG4WEX4jvXdyxfhaA1KafUaKkDSw6w65E1rRRQ5TE9K3nl7h6cONwmSCj3lUU2sFs/KWZUkBXe2VujUE88Kc1OpMqLH88bvkabfREuULu00rYu+Wyll+j113jaXdfnbOhVKcmWkC6ssVdKfjU4ELhfklUeG5HNzMvilrXZSGvoBdHoJ7U6PxcVF+oPBaolyfN9nEELi6hWuv6zHM4fhuSOKQZBWdekMkOmkVFMAX5XZepXuHrlqU/lRbmTNH8uALrP40HixgrFlmcGVKLF4JlckyhkGuOekA4DcbOvANMPpGNw8Fa/T58nQ3VG2c2fvCfjE3Q0C6aGkSrOXwxfiaAZzlLnKJaXDOjzV4qnv6ycO73zdgA/f2eO5o1Ui5dKTEi/RqXskkPnQ0xRcUuRlD/am0781vG9RmckTDU5uIdqpvyotCVCJKYZ15nNZRH5BxyN6PAPzaIOEHNHiGeDLIC/iNjF0QWbtjtY6TldYZZAy5olDkheOa+Y6+3jyxbMkSSHRHICjR86y7aKNtfu++N6d65snWWy1ufvZcU7MjjNREfmuuQX7ZrpKrA4kL+wGjjC4yZfusv5eW6KIHDij45BlibGzIDOb2uQ42SavqfZWI+DO0vdu1pis7cyQvEUs6+mM03uEckMOnXHohB4oJ5UnZqQ8dvTCHUb48ECjES887cYpEj8OdVewZ/OA5w6FJNqnrz0qia3ZdlINroTdyFWkLpfIgZ3VUmcnvew3W+Jy8sGm9j2lIZEW8CrdnULqYkJANl0rybr7yx1emdSUBpnhZA0tvlZ9zmheqJiuIErkmc57T8/Thpk+r3HafPVggyOLhmuu27jz53/qp2r/z3/5oV69ucECfO+xc5yaa7/uS89v+5nnXnyShXadJw6MsbEuiZLUWy3t0FWcsNE6wGGKGgJ1ibULkNt8ThkIBbCLPkZVYkU1NFQzAzlFjbQqgTp/niZ5FKkXbsFtAVwMBXLL8qTM3irt6/RCljqa//cvGiz2KwjftfJEmqFVpRicc+GKjBzo2LLZvAk7Z3DrqMSxQ7Pm8GPf0uHLTzVZDDxC6dCXEi/toSxGPqQMnuYtSHVxVkZr0Cm4dV7pWTgrImVwkwfpGdiVFCmDW0mU5C4KuUwpdHjRTihK+rsIOguAZ3gWOUCG8bPKn0gZP1tFMhJ62WUxv/x955lbXuB1t13zM93lfQ8lcecvcwa/77G91Koez+47w92PTOH6PtNVTUWNLimlk7bGyVt1MsuALr8eYbfs38yAYefkjUqU4cE0ObClQKpi/JgqgdqREieVJE4O8Exz6zyodB2dg9t1svqLYfZ2VYTnhfzZvS4vHqmCdJFS4melsSVrM98jPv2SF6wmLLF5vlNFSabE2racxbHLlbt6vPXlbT58ZwXt+PSlhy9FnvRRUtj+RZEBaJjJRZnJR2r3c6mi7LgPR1o2V5p8tqNldUExVqKYRVNMprXOWjZGJJecJXAOWYejGMo+e5kx14jXylo4ihStboOXXFQhjmMGnVMY8zhaB+QA3znjU6v6LE477JzSJNhI2VMZc5pVsmHow34twA+BWpQ+6HB/35BnnAeWomDznCH/OoDLAuB5oicDuLFzslMp4qrCLXFLw4EKzW3Z23Xs1Krlluav7muw0PKhkronohSMXUCikNWIlNgpB/mobZdbYzbBYd0Uh4mm4ptf1eOzDw9Y7PqEyqGfyNSeFKl7I4pmbFmwZQZsY4quH52zeeGCOZmzotLnMn0t7fDU7LiXQS6kKHXfZ0M8Ux2ePsr0XA8Hm2IY7EakjosYxk+Gj1z62My/TCeDRbHdKCuIXDpdEJVJaskkJgN4b2U/lerUjoUzD//E7NkThMbBTcHtZplBUV5+C91cBm8G31HQFx+wBPQU7JnUKQ98vJBEEUPAHp79Xe5wscPdGQZ3trNBxtyqxNyrGDwbN1GMnHCUzVweOy44eKKCxkdIJ2/OLaoHy/GDKLkaxYEp16IUTC5K8kTkTkbebpY4YBwu3R6ya+OAxf1VTOJZFk9E6RyVm5xNfoyzDinrFMiSIZCyuSl8ci1Fbh2WYxul7fnXklR7pwktWZBRDm5tSzqyYNc2Dmd4KYitwE9WtzIC+hKesmMq06XP/q4kSqx757kJFT/i0185xczWK3/im15zyzOPPHnouHN+MaRa6204erb3+kcPnqATb2LKK6rwHGnyZarQeeRX4FqSRYgRgOdMVpYmIr9IhobWD8kTUXImBEWwWQDaMjjpKOCyD16+p99FlcFdAnm6X72bloZm7K3S144ToVTE57/a4NBCFbxCnrgl63K15CrR0Bq34TEKpXqM8u5mWRlt6HDRdMibbu7x+N4aaJc4sVrcTdLsbjIslYpVMlO6mW0ora2bS5SSXJHpc5muKjK722OfpCuGzICusxXW5MQ0JFUQwxedEDmACzIcZfeC8LJYQmNXDCOzNUmW8CUwStOsR0w297J9082vr3rdDVPj/ePOsVnJ1AQ88GyVux4eZ6opqLg6r6fONdgI6FYBdgTEQxKmLEVKLJ5dKKNau5ApIi8DHQV2zuZKlJpwS+BO5xMW23awGthOMSAoH/Hm6BTksZUnKqJaC/nqAcVf3lenP/Cg5uBIgSuGpcno5y8fnzUBzoj+HrEMy754FDuMNRzedtuAOx/u8dgBD1N36Sc+niC/0FT+9wsdPBzOWZCXzVsbfKYXmLJsnsh0/F6JtbOgXsssqBQl/S2GCFBIkFqUPkfGuqb03P71ckGpSEV2ganivzHCHh+ZNkwUTe8ghIMT+rz1ljbT2wNq4xFT9QiHRGPiBFcI1tUcJquZPmWVM5CP8hrRmKPSg7V+NvR6WI6UL5ry81yKiALUMpcoFtgyS9PL0sWoymWzxlpKKXM76SZMjhoGupuztb0rZQNMzwuJwoQ7H6mx92QNXBchVQqqdG5IOUa5QBXhkKNSZu2srKGctSuVi+qSXRiGDpdti3nDrV2ePV4liD0S6dLXCi9h5LMIhkpWR0BuRj4LKrvYNFoJVJZwkQKjbFIvky75iirtkNX83GhK7L06phoG8jCAR98fxoxdIXT2b2VySovUw5d5z2lfTVPtVVBVSCKJc/edn8d1HeYWWuxYL1enzOUoww5/uK/F4plXPuoJl6/gvF5j9G8OBZjFDgSFNClZhTljZwAvJqfmEiVlbsvYJmdqJ38snrtpcOmoCN8LeeGE4K6Ha/T6HtRdpMgqB8sksEYWM/tuOVeWdXgKuNJk3dHy2WKuicq7fRqNkDfcEvDZBwY8e9QHx2OgJV6qxZW2O2qUa/hFQhHAJWWwF8A2xq58uXSRls2zVSUL8nWawZa6SLQJXXZTUiLUhSQZlSgXBjK5bbzKadNZHGbSTRVSL14rZGwIpUQGDlHscXppP8I5BybG6baXUUqQhCHjNZlvC1e+okZBPao1hz+wWBPoo6AuS5OcuTM5IrIvM8rgVm+Xs5kqdXqyikInl1Ul5lYl5s7And7dbAptWuDvqNjenQjXjYhNwh0PVXnwhSpUHJC2odktlfAOlcaW7+UXF9Dg5WmsJtsAQBeOSqLlENCDgcsrr+zxppf1ePFEhTh2MULRFw5uQv6ZRFKwuBi6tFYzeXmMg1IZc1s2t69FvlOHLK/qqcOSk1LG4PlKX8aKobwRQI6PcjCMDRFGcZXjxIAW2Tz4svzJsu123F0/6pNo213ktPu2biGJbSuX3TrCMsrQ8jpi6V2QxdfS3aPv50GYyDeNGj4gI8AekirlNH3prkbArUp3p9gENQO0WwJ15pxYx8Q+KhXhuRHPHJd84t4G4IF0EULlXUQq3UhVjp6I3PsWeRA0DDCGitEK5i5pcCNscZFKRz/k+8Q7GOPwrlf3ueeRAU8csZMEIq3oJSIt+EpBl2RBXWlC2FAEYFcPFENAz36qUtBrme7nkwXFupRZNunfMqW4SZdALUsEluOknOEUI3gacVmElVjZdNv8GOsCYya9Zu3OdYaabxtWtDE4U2MuUgqCwF6OsbbL3FAb5RpL7pCeGmHuMmMzcjHkdtGI7i4Ogig03JDuLtyKIZCPOD12aw5TGoBfgHuItUuPWWNtJlWUinHdmCiJuf+xKs8froLrgrTBpSdMaXJsObAaWZWGADUMLVN6kjdAlGpEhqoLE4lWqaOSOAShyxW7BrzyRsvi/cSyeCA8BhqcJPPD0zqVNLhDUJIo9gOUSy3K1qWSYJRBGmFrjYwNRIWx4/qkEYVUSWOPLNAuLvZMvqTAlQUOVimAXBqLEvhLDK9HsVVgEIopYWEk6IcSKRUGgzPesJZXT2n6fQFxOuGhnMQsXWmU/2hZYw5deWLkahQjXy7TYsOOyfAeMSP1J4J875189+Ks+Xao4aHYukSpEXCXhuLn7olKUE4J4KlE8ZyIQ+cEH7mzQRC5UHNTeULemqbKuwRnq1RJgg3plVX6ZBjoZZlS3hxAm7W0uEPdl3zPG3rc8WCdA2fsxZdoRS9RtsowSZM/2LVdJFnb4fBKYjKglwAuTaHFZarRpbabGwhp9blMZUseK2VMrot4rQxIKdYA6SiwhwizTKhmBNjlWeXFRZloCCMIYokREjCoP/7Qb6z3XPnfDxw6eWk/SOxXz5g0C+rE8I7BQ3adHP69VR515naI4d8v9rDMxgGnj+l44By4I/dsZELZ484fnUJ3WwdlGNzlvXqKYqp09wcnypsZXCckkSEf/lyNP7lrHHwfVAWlHGrKUFUmHUdB3uDsllrjikxqORElKSbDMhSgFrFEYTtmF62QpI2/RS+kkgZhNFs3hJxZkDz5vEcsJAiFFgohbCltWQ6OOlw5c5n8WfHalERNCva1LoayxMqlFsP12vn04NF7OtQqmz5MecQ2o1uhiKF72VYdHclsjN2lbuvOqzfsvvzGLzmnzx0Yn11aeOOBE23Ga24KRtIsVOnLl2XHqittJHgYdUhKv1fOWo6+zpe6MmsP1YGbIe0tczAUkkSVtLfKd3oobUSlzIgkySoFM/aOcJ2Ig2clH/9yDTt/xbJ33rlfyguUxwvL0nEpB5qi/CIH0Ag4dLk2pJgraAPPNKtpJDpRJCrV4onDt93e4zP319h32gUZYoRkkLg4aWIkj2uSFMlJlvjJwFqSTpm3nM7Gyj5bZsvJ8j1jbWP/htGpP67TAHXEGVvruS7hqij/WO26Dfviw79Hfmjt79QqMNFYQeu5N546a8adux9NmJ1N6PQ0zSo4IttSbtT1GGYBhk5gCfRD2lsM/c6oLShHDkJZvw3VgKfJhPI+MoUGL7YKzHZWUyPgthNZdfpo7UClNCrzu1WMkjEqlSeJivncQ3X2HSq0txTSet95B83aJ20oECoTwrA6KT0fbkAe8sRLE6kcLWxtiixS+GHkcNnFAW95WZcjH/cJEwXCIREOfSFwktS+Iwt0M0dFlD6FKUJgk+lygTImj96MtJ9RlZlSmCLFL7C2nRHoTKaULGVdIjCdAXWkijShyPxeKJYrMFjuEir0ftaU0awZtu8cUG30cNY1HRg4zIwrXNcuq3nR/kjSJrtyLuRzD0fFYg3Al/QYrAbJKHOPsHb2OmPtDOwZc+dAV2UmL3S3yoLIbIsTqXFkMTRfqQTXjTh6TvE/Pt1kIF2yCVpF13y6ggztclFm6vKyd+Hb8PKduhmlJdsMBZoyrxXPwJ1ohzhx8ZOYf/32Ln9xf40jZx1QEWiHSLj0hUAlRZAny8HmCMgzb94ATnbBpe9JY495xuYyDUK10VaLp2yuhb2gtBRpO+NwQq/M6tnHKB87PYSjkWDya2LOngdjBEEIc0s+tckGTd3EGa8rwr5krK5wHFlYdyPLBWIY8KOvV/3uKHtnz0ezoaXnZWCLEdbOEinD4NaFRJHDDO4M+dspmIf87tJdWhZ3nZB2qPnDzzY5M+eDclJrUKbyxAz53vnzUcZZ65hcCOhlqZI3HpR7NLMUvszveTOEVCSxw+aZgB96a4df/YhHK7IBgTGSQCtrGyaluo5EUCjsAuTF/9ufqPQqNCbt2EpZPWNzY9LakIzBjT1PaVGgfSwDd9VqJy4I4FWvS7wxrBRKK4AWJDLdLTlWjLcVWkicILKDMt10fFm+ZJXYd/U/LoZfZ78z9IELUOf+5wUKkrKou5AoZdY2JWuwKLJXogzoEpM7OmV0nUsTK0f0KqmiVJw/OirC8SM+dYfP+z/ZJNCulSdC5fIkbyoescSGdHd+PMqwXhvipiDQklVYBn2WsjdorYvmW11MfYq1Q8WJ+ZF3dDl4wuODn7NaHBSJkAy0DThlQs7gRQFWdrKK1H3ZrrTgLiSLSetAlMgqDzM2N9Y+zBM/BiOyuvDMBbF/e1SblwmStQA/pB6GWbsM9uy5QWASG8j7HjjrJgRKS8Yb2Sy4YTAPPa5i8JEPyOora62rbUh3l6VJXpFW6O4iyEy36C5vGajKroMuSZUMxCUml0V14PBjnPreEUvL8BdfrrEcZOC2AHel1d5Z2fBocqc8JiKrkByCdQnfZa2dS5X0B0NVfVrkSZVyp09eJy4lSiu0tkMpx7yEt7+mx2ceqrHYUSAj0IoIq8ezKsMccEOX2oWZ3OaBiqRQVp8ijdXcRtr3LHtboOvs4jeMsDZrgh1hy2vXAnsZ6FwA4Dm402PY62vmlzWJ0DhjjYAwiPBdCBOZ9tWN3Fb9w6MR7IWXjtGlZ01pshawxbA0kXlgWW4wGA4qs+E0BbiTIdYumDtj7YK93VrMHfdVeOz5KrqkvW1TQyZPhutN8tas8nEQa3z3C5J4yp65D15IlNFmCFMOOo1EmcIXjxMXR8fcdGXIm1/a448/74EKQUiMEATaQQlhJ4dlgaYoQD0qVzJr0BhrOGTMrmQho4wsFYpJO+OlXFFpTBGb6FGQj+AEYYdGDZfIijVALYbAPWx5FoQRRgndQYjbD3D2HoPlZcPCSsJYo2AiIVafimE2HwbvWsvGhdncDDkmRXA53N9XyJEC2IWLYlItbnDSEWN2lEC645osgzspHBOpi93YpHVPfDfiyEnJR+5ocL7j2f2upR30rgTFjg0j8cKq71XWlWuw9+htKNFTYvbRjbvyHaOHuu7t/jn20W5/sr6e8L1v7vLQ8z5HZiWICFBoJAMhS5tIQbmMNrcxyxdcmc/zbGZ6HspsXgJzVkOeZ1HTvyOEZfrswhIptcuhXZTL1Y9WyBfkmQG7dEGuWiULZ256XLF7m2B6Gpx6xSf0PXxP4WQtaiMnZugcXWB5yIGd/o4cAX+2l2a2jGe6O9fc2YHP66tL+8+r7HXB1IVFqEtyJXue5EMjMxZ3ZEl3ywQntQU9LyJINH/wZ00efKpqe9ukY7W3lLZrRxTzV/LPml2EoyvXCJOXj2H5OK7OYBauRbHHe7l8tlxGa9vNdOaoJJpYOqjY4ZXXhfzwu9r80h94BLG0GSgtiVNXRaZWReYvQwEs+8Gs3Ubp8ylp/XGVXZQm7a43mT1oiTG7ALIA06QXfRaM5mSXZn81YhUJWhxl5bNFljwH/lrgTj+szX4btIZOz8WreDjrJyUukoWGRKriPzKsvq26ckaAPcrqQ8XupfflyM/K+jsDbwZ8K0t0weYjd5nbg8UE1KHgUhayxElnXOfBpYxxvZh7n3D5zIM1gtCFqpNr75y9swB3SJ6swdxi+PgIsoBzbfouFzblc0CGwA1GZVWGw7XiiZZIbaVKBvQ4dqjWYt7+yj53P9jnnieUtQ2xiY1IOPQpkY9JW8tKcsV2zAxrclt4ZQoml+nnTJsistdaUNiGJaBn9l9e3WhWB4cXDCCHMGdYi3iHq0oEQZgwv5SQCIPTDyGMBU46UXV0Q86MaS4kWQq3xaz6UGVAZyw+vKRfIKhMC3NyxyKTKaqYsKRESXvnQNYl5i4BvTTMPdfe0k6JXeka7nioxoFzFStNhC2JFZn2FpQmSJlV4M4lS/7dy4D+GvokOznGsmZmyQ3fRQHuVcOBihoVKRVSJ0jtEAUOuzdEvPnlXR7b59EK0/Srtno8RJHtAzEM7pIGz+Fkkzv5BSlNOuhJ5K1jRlgGN6m0zYBvTLmzKP1ZPvbBHpd8C/gLqAJRAt6qIzmCbrsC2hdxonEdu4mvU/EMsa9p1uworjgpZtZlUz9HqWdVLmMNUBeMXfx+AfThBEn2RVUebBZaW2TBncp88LL+1iVZooeCzDygzBI5ZRdF2k55TcL/+nyV93+6gRGO9b2H2JtCew9Zg6uBXl7NykH4mhgvyZIySw7rb5O7AqOtbDpL22uNTiRaWl9cSU2UuEil+ZG39Th81uX9n3HsVh8pyDWCQEiUzgZJpOAut7bloBbWBwSQ5bczHZ5em9KCS4pUk6e/U1zwpvDIKWn2/JiVRlwMgb246Ebl3lA22GTFVtoWXIWafqAZhBpn+8YO3XoH+gOWe4r+QJIkogTwtcTKGow+pLnLAQJDgc0QqCXFFNlVDF7W4tm4sNWOiczArUblyfCe9Srde8Zq8AjXizh8XvKZ++t0uy5U1Wr2zmu+S86OKBI8ovy9R55nIP/rOHxo07Ey2BkpLtJZvUcJ6DIDukRLq8WldIiihEY95m239bjzK1UOn0uTCnY4NYkQ9BH5aiN0Cm5TgN3koE7dEtLkT3ZeMydFFJ85y2RmTctlgjMmSyCWV/HsSI3Uh+dALyTJaBw4ShZaQ5LAINScX4qZPh/RMxGOETGhjuiGIUrUcyBKIUZXrDVYu/iFCwWca+vw4TLTvBM8twVTMGev0/dy5hblwewl/V3abkOWZImUqWOSMrnjxASR5u5H63z56aodDi5dC/AR9s4dHCGGg+H8wh3ucMoQLv46ZA+fo2Ggl+5a2+U/kykm3YrE6m5dyBQtSYREJRItFFHg8JprQl5zU59TX3AJdFpgZCuhiHEYCGxjMCU5YG0QTNrWpUY4M6sVtyGDSQFu2TxzUkwWVEqR622Ta29RJP2GGo5TsOcB5Qjm8udrH9isnkdrqFQ1zXFBY0zhvHjq8pUjx47eeero/L/YvZn8g5YHJZb/wFrvFc9LcoTihBcG/7AkyWskyst+FlCKMrAzoBdlo2XnRMrVertsB2apeCltp470Yh54wuPXPjRGYpzCOZEKIaTdB0gUaflhBi87Pmuz998giVkgm7KDMpyyL8sVTdFka7RAi8JRyTW5tN640A5xrPG8hJ/9/jYHTjs88LhEeyKFrP0CkVb0KbEmmeYwpIPfh75I4YWnyTfSX0+BLtMvnla/5p67FKJI3Wc4MGVQF2w9rMUFmTtSPmijbJ79qlJQq0quv7zGG141dueuXdtW1NWX7uhGveUjFVf+cJzEuCrreyxV8mV1IKkNU25EKMpFTT43MGO9coYyryPJwTpcA12uDByqLykVT2VaOy+oKrsmOYMnhfddqjtRpV7L00uCX/vIGA89Xbeb8kgvLYl1caSgKsGXpJtcmdW120P3tFY+H5IzPIwoq3mXaqRhuqTri9cir8HJj3P5PGRkUJoDmP1+IftKPzMwPRXjO4bHnvNY6ZdqC9IwM5siLkpAL6TD6NX5N1iWTLGur4oxsBdv/t6qbG4xZHPoZ9mYCGNK75GXOGTfRklBrSLx/TFOnu5+72NPHjnghLGdkSGFwUu/QxbMZX7vEEOv9ZXzN83QlTjkqJRPQonJh4O2YjuMslyRo5o7Y/EhYJedlHJgmZbCps8TL+Ejnx3jL++rYyoKhLLoFA5CyqF+y6K/8Wt0zOfMNGIHrMUyJeI2I69zQOQndrjbfrTDR6fzA03K3MbookZFSKRWJMJB9hPe/qo+e4+6vPcDDqEfDy2tRrsEpLUzWdSYtbWJoj4csJpcp9nNlN0zwi82ty65KunPhwrsKOzDPE5JFdAoi691TY3KYpHWvUgp8hhBps0vSWJwJsfslWyMwCHboaxg1bWi2691G850FsGmGJUlo6CXI6DOmD8DdgZ0VXS1lLe3y5g7fy6LpI7Ma04S7nnc50NfqDNI0in4IrMG06ylMEPae83UfBnolAE/Ile+1pkqUQLZJl+M1IWnc1NGS2iNLGU2ZclZEcoWZsm0OEtqEu3gu5rvf1OXR571uOdpaxdm3jhSoI1DkKRBJ1aDC21SRyQLQEkDy4yohfXGxTDIpcguhLQRAvK+TDN6rNJVZghbQvzNcJYTZ6oeUmk9CA2tTkwUK7TWODs2BQghCMOEbteOSs7kQBmY2T9q/qZ/eBXAKaVmi5T88NJaclPyZbpgbimLbKUsMfYwm5fYWyZFgOlE9AL4lT8a4+gZH+MUuyUPae+sFGAI2COAZg0w5xAeica/hiAfna0+nNEsF1+V9fjq2hQt04pDWWZxhUg0QjjIUHPR5oj/+AMtHvlpn84g/TJa5p8rkXYvzlz3lk8mKbC1SAuvMotP2IAyCy51AXaRFV+JEQ1uVhPCMDH+dQgbPpT5v28M2hiC0NAPQ5TSGGNwnjnpE2vJmBeyqREipbTNASWfOg8+LgTwC7ktIwDPVoNCP5abBso7d5Xdk0KWKJUx+TC4nSHXpLQ7b+p5O05EnMDvfarB0/sr1vOWGXMXzokrhmVJ9lg+IUMzUErvp6lBykM31z5QYvVbZkRX5r2JJmdynRdhlaoLhWXwPOjU0oI8kWiR3pNUqmjNtZdG/Ni3tvitPxsnTFKqhQyNJCgCXQo6ZebBpdSWShSDPTYW6GnSR5fYXFrWNumxMuXVO8sRrCFjRyngQlgbhZuUBluVINAJ3Had4ZKdhv7A4Lzrm9+JX6lz8viL7H/2TmYmbbNuxq6FPiwKb4bYZ/ScjVyVZY+zXH2Xg3pkcHrZFix29CqxthjR3zJJf56scU8Dy0rClx71+eCnGrT6LniF503apGudkyJrWS7lLevwoqZ9jRmEQ2GZyF+LkRNUPnmjJ7FsGQ7rcDHC2tlUWJOCvyxVrI2YSIU02tarxIpmRfOD7+jx5Is+d39VQS3OhLP941IQa8mAIsA02A148/U7X6JLGjwHusn7S7NETsbcMn+ekl6W6TRD/9zQglcuRBvKP5WylpjiXGjHUHUTLt5zO9dddyXtdhdnctzB911645KpsYhG1XrMGduUyzaL1ioxtJxemMGzq3Q1sEelSVF7YlIHRue133I0uMxqSsrMrRJk2fOW1haUTsz+4w7/4xNNDi+6tg1elLR3WjHoprNOhtyh0aAShpmbErAFiJHvvuYt03kjtSgFixeJlbwRgrXS+AyBvdhyT6OlbW8TmVQRxkqVyLBrMuZfv7PD8fMOh84IjFMWWAKkS5KCPP8SaVBpSEGsyfW5ygGeftZ8JbP/uRkC90jSLwe3KMBdrvsqH5eSDz/aSZ/9R2Es6PcTOn1FEPkMwginUU1wPM3MxIAdm1oIWcknm2YNrzrbeVabglVS8BcnSpQW4JHAtOwdi0KOFE5KxuaskiVSFrJEDgWVw8mcItC0QaWUMZ4fc74l+JUPNPnMvTWMm6XjvzZ7F3Xfq1Pyo4VBo0mdodqKfCkbBvwQa4+APXtvdU1KWYdntSkmz3AamSaA0g4gmbK4lSoKLbSt0ZDWVWkFkp/5TcXsigC/RLdGYHCIjWSQtb2ngSe6RLepJjcSlDZDGhwpcu9Fpl9RZrrcFEDPjlceyopSnDfK2KXyhnzqQPo8yWaqG0G7J5hrwyCCTgCO5xmU651vNgZ37djG63vdJQZBjSDd9D5OJEliLNBTvZexR7E5UMlKyqFObjlmCaBhq7AkTUZliShY27K6Xg1wlbG1fZQyQaauSVZrEqL53MN1vvR4La01UTmwh9m72DW4PG9wzWKqknbMtHgZ2KtsLVGAdtWt7BMPebu54Wq1bbnRID32MnVTDNmW13YgvNbGShShkbJUsyIlIq049B3D61464C239viTOxVhLGzaNmdxe55jKdYGuSgCT6UpMp+ZrNdFYGmEyRlcluYOZtJWliSuMCOHygwfm/IclCTd2zNKIEwE/VjQ6msa4+O0InGXV6mcT0Qf9V/f8z5+6f/asOK54YrvrXynL4/iKAetFfm2bSNBFYwyWpmVs1kcZW+71LxQTr/nI9eGQV2uNckTOqViqiHmLnXE57rbiUmk5rMPVvkv7x/j2Dk/bWIoEjq25kTgS6hkCZ10DFw2W7xI5hSj4ax9WAzmz6fcCpBSFsORxPAAJFurLEcSaJSOTTmhUwpoyzXo+fsl+zIbMi9NXtcjpFm14mQnTggrNyabCZddHHFqTnHopIM2pas5X3aspagpxxcjy1eJ1ta+iXx24KprfFRfj0gPvcY90RBrQawFkbaypB0JZnuwsrTMtZdtZGqq+v+799EXHv3X3/Fau0fPx+5p4Hs+h45N0l6p885XBEw3PKLYQesi12U1XRpAGArJIjItlAVVeihKtm7KcKVg+aKwJ1Ez6pzkLJ6BWhSWoBxi9Ux3p+ztJhxbkHzw03UOHPGhrnK3JE/spEkdr8zeDFc6XrBjvgyc7MSL4YByrWI0hkTc6mSPPUp6JOEzEmxSvM7S91KQWoNpn2QpISSEyXW4FFlXvkMUGC69KOb739bh8ec9js/Lkm4gN66NcYgRBCaTJCaVRKkWT9lbpc2oVqYUOzFYHzydZ5iJ2ZJViCk9lo/HiCQxhnT/Ivs6zoEO3Qg2zbR52zfNcuPVG1m/YUAcD3gf6SZU4xM302xUefZAnc/dt8jWiQ6vvd5+GCVtF7IjBEliv6TAHjxkSR+JHOUpuNMvUyqqGZImeUInCzR1KcA0KZiHtbctsiqkSeZzS5mghNXdjpOw1BH8zp80uf/pKlQyOZIBu5AmnrANDUVAWXTpKFFmzNXB5QWtwq/BZRe6lbvrh6oKy0t0Llms95zLFJH2Q6aRXhZ4CpGSkTYIoXPbUAhlLyOhSXqaV10b8JPvbvNf/0iy3E8/R5aVSeWJkYqoNLQkb3dLQZ5JF5PKu1zKZC5kmc1NKR9iCrIcre1brblFDuzElOpygLoLr7hU8a5XrGPn7quYWH8dSWy/jAS44uJNvOrmy+5eV1n5tTffOE3Dm6LVraXT/NPm3VIzb76t84iuLmvpLJEzbPeZEbtvuKY7/x2xRkC5FrhVwdyZezIQhj/4dJ0PfKpBJyoFlaIAup3dl26/nQaVa5XAjmYvc6YuydVhMI8UBv0NkD5aj5E3nGQ/G9GhwwkfkcdCxbw+Sz5Gy7wLKGtvywZ4apMNDnJoOPDD7+jwI2/vUNUx6AR0bO8mBh2BTjDGEBkINATGyoNYC5IMdCkAk5I+zrYGL28VXnzGQnasJUeGwG2KvxNruz99nNi/pQRMVzX9VoUHn93GY89Fv1YZu/pu4W63BA3wO7/9G1y2qx7V/fCSTdPBN0+P9ahVEjw3GUr65MurKQ8eyLRdofGGHZGRSrwcyJQkSMkOzBM5ZliGjASVQ0mdtL9SuJrnD3v8tw+NcXLOL1Lx+XxB655IARVJvolU1pKWae/MLiz6MMtFUSPFUrn+HplhLrLJq6n2luUBpCN6W669i0b2u6O1O4UfXyKTdLUsX5Dl81HsdpY9T/fUNFDxEtZNJDz0gsvsvMKU07bFP4IVn6lbVtLqBTRGr/ivtaStveSVhUBxYYv8wonTwDJKNwgQwqY1dKLRpkK7p//knnseePhN3/TmgsEBbn/ta3ntG9/CtS/ZyPqpJerVgIoXUvFCPC/Cc2PcvL7aUG5Uza3B0oEbBnUhT4bKYoUZAbJhbY09Au4sDS+S/LXjal484vJjvzbB84d8jFsupMru0h6QdM5JecbJBVPzF5IpovC/i/NUuuj/NnJlxPsd9sVXs3e2BfcomxeMPcrsxbCgrH/TsrgiMYokUFx1ccT7fmaFK3YNIEpS9k7AlBl9mMnDlMkjY7VwnFp2uYxYg61X30XB2AyDuxyHZHZglMAgFnRiQSsSdCJJK5Acm9eMb7qYt7397bwhBTekGhxgJZzCMXVOLvk0k4At4yGOCsk2EO32K2gjEElas2WGT13uX2ZB5RBzlOzAFNxiCNxZg4Ne0/eWMmHUJpSiSOg4bkLHCH7/M3We2euTqFJAKYp6E4TMpcnQTgjl4q4ygFe5EcNjIb6WuzRKYmviejSpUUJ4XoRVTqblfrBgeGh+sde8TH3wbAS2STObWWJFG5nq8lSPa4NAoxLDtZcF/Ku3dfnZ33LpxCk6su3uS9lOgyRCpD/L9LZ9FNnkI03hl7OGJhflL21tZrHWsSpJQY21BFuxoDMwdsNiJBUpmRkz7NnlcNWeCVqd3mqAYyoIqocdOXPE9yZ2dfqnWOknnFkQvGRXwlgjIV5RDMg0UTHPeeSzDCV7BOVak78tuC1rC6lXBZXZ3XETegl88DN1PvGlOkEGZjninAhr0WXNDM4F2HuItUcZey2HrCTd1jxBfw2Hr+2kWPQPsXmGtRFG1wbrnKSAzwJMmQJeGOt+CWEL6bS2I6eETjOcpI+JwROGd76mx74TDh/8dINuhD1gWhQZGy1AOjnIzQjIs5oUJ3dVTP68DHJVAvkI1ovDK9LvWzr2g0TQ6Uesr7W4/JI+Z+c9FleqTDYnmWlMHPEq1cP1uBjPlgP80os38eQTn7pratL76Iv7Jv/jp7+8yMnFOucWFa+8qstPvL3NukZCFCuiWJEkMs9c5XbgGrW6f3dwr7YCC2DHeetZJ4QP3lHnv/1Rk7ll184BEaV0vMykyXBgmY0VHt40texBl8oLGGbqr8ng+X10PuGFET7E3qX3htL1ZQbP2bpI/AidMjbD79ndgbNA09ZrC23sTplZGl9LBA5xYtgwFfPzP9AGI/jQ5xp0ovSAZQkfmV1pFuQxIt8BLWdyDOgC5Ilem8klpTLaUVpIj60d5mnyfyfRCZdtWeYn37bErVdpzi9KDp5Z5NTyOtyq99G/+NyX7/rWb377GgwOPHVE0my4n//Yl8be+tRzW69JEomr4J6vjqHjJt/9WokrfaJ4OKAUqce5Zl10HjDpAvAlcMu/kSwp2YElv1v6hr/8co33fKDJ+QzcclR3qyFb0BHF/joZe+edR3wN5i753EPp+BJPl+dY/628wlIqmlWSpIi61k7dF9nOIaCXR06IjMVN7o0Lk961soxujJ1lGBg2TiT8/A+2WGxLPnpHAypJAewMmSWQrylXUpBn/nix1BdSxlC6p2Z4fg5GsOQJg6sEVzYSvvON8NrrJokTxUUbDBdt1MQqeWZqS/T5JB4MHVpVfvGXf/6njE3sPll3xI3jfnDdTD1m/RhsHBe4so7v1nGkygOZbO1YBeZMvw6B+EJVghdm7nK1oBTD2UpVSTh81uVXPzjG0/sq4GeSxB1+lNYW9GTmexfZSicbTyFKLWipFh8dkyzK7kfZNcmck/S93P1INXB5O5iyizI0Cz13ZMrHL72o5MgJlyUHRY5ehGZtghkho/LqkxEV+apjI7qxMU21YnjkOZelZVloilG3ZMRdKRJe9nfkWn+PNWKZ8upZauVTypbBeq6gUYFdm1x2bGjS7tVZalWZXaqysDJOfzB5x/kz53/vmpt/fAjgQwwOcOt1OxBScPBgxPziCloLHEcw0XQII0Wrm1CvgOdpuy8NIJQNYIqLx7yIygAALklJREFU1JQ+/EjmspStVHkmczVzK7Ea3Lk88RKOnHH5T/9jnHufrFjPTw4XUeUoKkkTJx9FURzMtfT3queyJFVGZcpQynY4DhnOeKZEVpYe5WOWaugSeY8kPsp735iS/k4HV5pMigwXZWVOiki1uVXrpefCYLRBo+xnTVvRxCDm9usH/PKPtfiF941x9JwHLiWmHmVyRYR9LdJiK4xI5QWpdjd5sCgy7Z0dm1SnDOcgrMxxlK20qFUkjuNw4pxLu2fwHEMYaRxvjO07dmFMaTTyhQD+L956O0qp8Mt3d3jsqR5BaBtofU8isCZ7lEg7bzrLNg4VW6UHKLcFM51brlUZzlLaLGZhFdpETwFuKeNcnjiu5vicyy/+/hifuLtGKNKueEa091qBpSgldTCr9XYZkKXHElGNBNIXeG+NW5nBRosyhuyx4cO4qpLOXhwif2HSgmxj0hS6ELmLkmlwUZIrRsjiwsgdFftH7D4+dgJhgsF3DO96bZ9Ewy/83jgn5kQJ5KsfyyDPXRVE3tcrjEDn6fpijFveU2BKxypf1YTd6MuxRIuBIDS0OhaX3Z5hYmaaK6+5LUyS5K8H+LqZSZDNn55at/PyavX8q5KkZ4fjO3YZzmZ1ZFvdZfXLmNIeMKUlU64CelElmN+VTt9P7KNKH0URUKo0DX9iTvGz/+8Yn7qnRijTrdfE2rpbZOBeY3hPeRzEWsGlFCNMXHqevTEE2qFf+PvdyqOUc2dlVIeXAK9NCp7MUSlNpi1YXFrWTHcj1lqm/7JMcxqpxafJSyviBFxivuP1fRwFP/e745yY98iLwPMLUeROi0ERY/+OlCLV+hmjlxSOKRySotyj+Gezw1leXW0xliGKNUGkcBJDrVbl0j077tu2fctPzy+0Vx1LOfqGUGN86BN3to8tqANzLZ0kSXlbu+HzV4zZJV9zCjdl2AsvZywzXS6yxI0YCTTFatdEqoSzS5Kff98a4M6LqJyySC0FliO+9xB7ry6NXVUxycj7///2vjzOjqrO93vOqaq79V2603un093pkEAIJBgQ8lgFZEdREcbRj/M+LvMcRkfGEUdH3wjMcwR8I47O6KhPHUHfyCDzENQZFFQwiCasIVHIRkL2dKf3vktVnXPeH6dO1am6tzudBRKcOZ9P9b23qm7d23W/9avv+f42JCaYhmk+mCWfHdn1FtzkKjqgTbv0tavepDtCJlz5IpJzY5n5YREhEvb9iZImWLjO5wwWB669qIK/uWECnc0ewE0nUOAUCp8LCAnlDJLK4xjFjwQBU4aTx8SQ6dyZaQgh4XPVlYRRoLeT81MXuxt3bf5/kx2thYMDHFAu0fL09A3FptzzMnA9W1bUG0cHqSdFAx1gFS+mKQ26YljtkHObnkwe8W4aeSkpE+A28H8ebML3f5JT4KZmRrxJS1gE7mAiqToz1PeWr8vWMaXBpIKSAD2S7w3PgtrpUAx5PHEkHnsSAToZk2LGaxDD+YMwRrw+QYIaII5ALs31uheQYOHCOYXlA2+/pIz3Xj0Ni3NVJ02YHk/fWBTIXQG4MvJw8gSwk15NM1OswbUfgtv3JbgQYIzAdorPl6crN4Qln+cC8PddfxlsKXjvggGZshnSjqqPY1tmOQkDFMEjDIutJzARFYnr2snXzAA3Mzg3YxzElvjpExnc89MsanQmKZCFlpsGljuWRByCNs69tTwY/5/qQQ5jfXRBxzccDjuRB1kpDOsdJSMHZNCwgDHnj0CdFY9NPEXkvucJF75MAlwyCKm6KDtc4vo3lnHRqgoITwZlmVY8bsk9SeBJwJcmyBuAHdGFbrrudWgCF4DvS7i+gOtyCAn0D/TK6YrNewbf1vD8WphhXPbG/wa3Vr3nUX/H4lplKOfYRjRgGC0Yl5/MeJMo11LGqAdJgpzwGNhDcBMfzOKgFvDDxzP42JdK+N1LjiEHWnFwmw6doJhqRE2SZdjijhx9RwpVEsTpSIjhYIMZTahHUnJD/S6zgjs2iUSMmQSTsGgWVhefEpZrMBOUZYyLCxHJd4ISINTDo/BaoQk9lK0wX6v/R2LZQg+fv3EcN1Hgx49ng0pwwX+qJ53GP+ZLqjL1g1orFEFN8oCfR0Veo7sRlfU5qEJKcAGAA6LK4fsCLfNap3sHXn9POpOe8RzTmTb09fbI6bEXvrji1P4Dve1VNOc5bGaWEzPpRpyC1IXPxsJlE5Y7qERFjQCqENy2xAOr0/j4PxTxu20muJO8O7LedsJ6x6vCyrjlTignjRxUdfEnCeA2stqm8jXrkAdZrfk16q20KTFG24wJpohzcZOqRJacGqWYdQXb+sAsLlj0vEZxUp+P2z84gavOKauZKNfUJLDghhWHlPClpioEfvDYMOBKW+vYNhnb1+cSY9MSL+/jaO1ceOAXj//2iy0tPTOe6hktOAAsGlyMqalxPPv8alTLPrKpFGxLGEV6ZgKziCUyxCeQUbx3qJoQHRkYdRwmFvDA6gz+6h+L2LA1pWIiY/mUCbBDURM74N0MyRzLuFpSR0PQANwGYJPSYXK7+ailglkZSyP/dIhWJNz18TJu0W4kYelkmF6mrR4xrXjwWk9MSeCsIwE/DxKxGl5usfWuj2UDLv72TycgAfzo8axar92GMY+nTpgI5mUSoALKxU+UXMmDdYFUHiYV654/inKpc84oRVuzi1ye4cQli5DPl2a1IXS2jblSV21onHzgtzt7p9dtJpiqkCBFymyrnZT9DMCHjwn+bWbFm5PJYIEF/PjXGXziH4rY8JIJ7oT1Dl+riXCSd9d3RWtsvWOVcIE6WtIYyCSaZDfaZ658POHwCYFrgD0edRiV7gASE86Ql6s8yjorrqsj6HVGaG00wSQwm84qDh4kSgjFxQW3wF2GUwY83P7BCVy+qqwmndycaBr8XCq+7EqgJrQV1yG1kTUP+blOntDJElL13SEAchmKpQMW/vDK+dOdrfhAU6GndtgA3/LSuGhtXbj2uqsvmchnUpASsCyhJpthYyezMZRMgDce560uDJ4Ata4fqCw3LIn/+HUaN/19Eb/dmjLiSzSY7YT1jsDdUBIMLzjMTEsaOHrCeG+YII+3touBO/oTjTmgPH5vJXXb4vQkuoziwEYdZ417Po048gRVEWYMeR09iU8+TZBzbsF3KZb2e/jchydw2aoKmAjUlRi49XMBHkw63TCBIZAQdUZQICfqbTzI4OE86GDMETgbm9Ddf+XECYODa3taDojZzu+sAB/sa0dnR2m4KS2uPf/sZV4xW0U+6yPtcDi26h7MmFk3UOvbZsEec+FISoIhuKkPySR+9lQaH/lCCb/bblhuaqacGW75OnDXl14Lm7YiUnz0a2pa4CT/NtaH2DOsfP2IlySbBbd1bvhGG2eSyuocPVpeSyzay2nq4mHxTmFa80gmjDor1wOeC1oHcsEtxckXeLjzxnFccHoFTCQ0cq2uSB8QIuTjngS8QBfnWl0JQB0CPQC3y4GqJzFdkRgeq6Gt60TvwJi4llrFYZrqmtWAzApwwmwcGNqB3r7+XactX7h16QkCnS0TyGZ82Lo1ttnxzCz7QLRKElhtkowK1C74yHI/vDaND/3vEjZuDyw3MzXupOatApGsBuA2VZPIchvUBHHrHQM8qTfG9Xp39KSuOelBwD0rrg2aYq5vSFPC/eJURWfHxIGdmIDKCMBm700T5FxQcJmcbNaDnAsLwmVY3OvhHz46joteXwHjfpyuJDKCXGFQldBqq9fCdAoFFt7zgXKNYMcBjpFqFu3dg1vn98zftXnLdmTTs0J4doADAGMUVuW+7V0t+97f3N6D7UPT8HiynZ8RR2I4cHRB+qi8mlneWFltO6XA/ciTGdz4+RI27khBOkmrzRqC2yaqKFMjy50E9UHLsCX5N6I8yRhYE9Y+RlHqZpuHMBLgDgGviyslJpRIADgEOeqBbRZpMj2gdY6gRnQlZskjRSUEt9bLXYYT5nv4wp+P4Q2nl0G5r5ApfEB6EciFr0Aug+TlhLeTS4OahMnMBJYFtLZWcNrKAWzdV33/P37v59spPSh8Z1dRAKB53nxMTU2D5bJ7Nuz51S9/8dz4uecunURvuy68E3U5C9UTIusmlLFSxkG3Bdvx8PIoxRPPZXHz1wrYuF2DO5mwEPdS0sBypxpMKkO9mxpOnBhNgaGmyBjQY95JQwc3+fjBUUoRytYJ3M+A6SjY6CCAj44Y1U6JZeMTdbAorkMDXYaeQgBB6pr6/4VUmjiFCOqOU0CoNjJCl1emIlJGwgvY+MKBJ5W6BEsW+PjiR8bx6a9J/Oa5DF4eAeAgHk8OAg4LLhB0X1b1vZkg4NA9G4z/mADNOR9Xn1/CZZef8svuvnP3eG4ZTip35AAHgKamHNave3LziQtKX2y+9ORz3bFHkUkLANKYoMmo8isVYTHM6HnUXZhRD3bKx6bdDLd/s4AHf5XF0LhtWO4GMmCdWjIDuNFAKTGBDSNencStcJ2TJmG9I7CSOqkwfjEgsXZuo6FjJ7TYMJ4ThJ3QAnCrsLykhZcR+I2LQddREToVLQApCcq8BeiOgVxfMPp5/F9UUYySAKgBS3p9fOmmMTz4RA13fKOITbsApINzIaPFlww1qcq/MaIcPERGj1KokoFVH+DDQJWsxES59Yu71z69+YzXr5zTOZ0TwAFgwYJepNLFtfns+P2bXnzhGtD1yDp5VGtW5OBJTC4ZMZw4TCsmHpyMh817GG75ahH3PZxDVVjBhDIJ7CjlDDg4uMPeQAanNvXvmShK0oNJDJRG+8twp6RVbvR6ztAOrLds8Nq07HLGxdDItdWG1sC1hzOy5DHAI/DFUBm6+ClVj3Ug121LpNoHZuwLDWiUzt7xgI4Sx7suLyNlA7d8uYgtuzXIozMmQeCBwgWJCp/qu4sEKAimXYBY03jDqn4MDC66f35v39qR0Ym5wnbuAC+UOjA2um17d9/rP3z3D9awImu/esVCjpQDWOCGw0fELHfYF576sJgHJ+Vjy24LN3+1gPseyaFKLRXNDoOO0Dgl0UkLWudmWgqkqsW0Ce7QHW9kwtSHvsqYtSUJRNatD1aa0mC9XtgA0qTh0zp8my+S1jFy9uijSMOiB5o4MWREHSdODKtNDBc+TCVGJQhrxw8ARVeoMECuUgwhKECFCmgQ+rsR46IicTWnSuDYHG9/QxkQEjd/tYite1KKrhhnRcBGjRBYErAEUe23g62USDRnJc4+LYu3X9z04AnLz/rw/gM7Xx7s750zwA/O0o1Rau7H4088/fL5Z52/vqX5JExMaddVYEtM/k2MPjlBdzMn42HbMMOn/6mI7z/chCqxVZhimF4WFMY0anfr8sYposqs2TSoa0IT+ZVGJzdTOYlNIpMpXgaIo9ek8frZUPpKj6QsCAP4en1CTUm+Jy4jRnEf0aQyCq0VgobrzGAszoMJZqik6EcGwRl8YYGHiw3PteBIgusuruDmD4yhr62m6hqLYJEeILnqThyoKqa2TwBkLI6utn7MX3DB+vF9aw4J3MAhWHA9li3pRlOh5/bm1IsLUdl8Pfem4ft2aGa0HBi17vNgWS4E4fjV8yl85b4m3PtIU5SJEwucCqw4FEJ1aWMtA5qu91i5NWKAmzSeVNaFxCb5eQBgE8iNDDNpsMyuEyYOMDc8hwCNZqwytj02ySQknEiSkJJIRKoKgnqGwVcN6QgCC67ogIAwsnRoGDQHoXqSkGC9mtCqiS6l6gJhlIAaVhwyKO/sEdiWj+surAJiDF++L49nNmZQ4whPtiQEnmQK4MZ5nahJ5AolZPIL7untP+32TVt3HypcD82CA0Bp3nwM7Xhg/ITB/ves35ZavWc4h6prQcigNHDYxk+B27ZduMTHP/84jWtumod7HsnDZTZg25HFprpXZVA7kCqrnSZRaWM7sNqqb6Wpc0dljpN0JFRRYCgnSYAa9CRGW8x1JkzrZ5EzMpTDGyQCuQn42BWgOWxiB5OGaI6sNxnSYlIijDmCQssdjxvnIh5eq+scKqvOwudaPvS5Wriw4fkOqG/hugureOCOA/ijKyaRIy7gu4BwAeHBFxI1nZVEgLQl0dfBsGoFW93aNvCer3/n38dPWtxzyGfzkC04AHQtfDOefOr5ct/i/+6+tOF+MLoL2bQXKCWqZZ9teUina6gIjm//MItPfa2EsWkHYDZiDaBMbdsImJrJMzlbXInO1qnLzgnFAhmz1nWcO4GzmDVvBN4GQCeNNsw0khPMBtt13RmTepiV4pMTzpi+aOjjBCRsp62wruNRAqodfOsoxVLlTxKh+gBRndZG1AyQEMXhtZojtcXWFwyJkikkUw4lyijmNfm47QPjsKjEtx8sYLoW8E9QuMSBG5ScSFsCpw4044Z3vcWlhJYHFl2BwxmHBXAAWLZ0AFKKNWmcumpq/76MxXxVv9B2kbJrSDlVbB2SeOCXOXz2WyWMTacSfSkjnh0mB1M0aCdSHzRFEMSWADEwJ8FtPsZkvSR9QXQhJLl2DLDGQ2jVzfch8fwQhul+nzHS0ABy1MeHhBKhqb6E6omed2oZMQgp0IoKdPBW8IFmHnF4l5NETTCDQDtJBAihoJCqg4M0SjoTld3PqFZZgrsGo2DwIQVFMevh1vdPIGUJPPjLPDYPqe/hE4JpaiPrEzDbwfIVp1WaWwfXzMWhc9QBns40wXOnP3nCSWfLPWzdn2fJtnQx74JQF8xysea3FDd/o4BH12VR46mIkiRiuDV3NoGdjAZkBoDr8icRcfBGBXsiS94gcz4xTLd7QkCp398E8iyAPJIRWuSZHEEk8VxbeUK02Q43h+lvgaKiFAx1ToWgoEbKl+by6vwF7xE0ADdAwECohJTKY616ZcpAJdSgpqAyCNeQFFRy1c+TcogaRSHt4X99YBKXnF3DzV9vxm9+q/z25Uoa+22Cs1Ysrl52yXlfsG3rU/mmgzt0ZhqHDXAAsJ2cmNj93Zsz+Xnexq1dH9/2zBbn3FNd7Bun+NhXSlj9bBNgO2ohthHPrTLeLRrXtJO6diTzSSPlrB7YMe6cpCdITgjrOXhSJtQjCWoCzImqHOmYKRgrJhlq8Mb0bxnRGRJNNDVfJ0QaiosMjqmeC6HCH2jwXl0/RV8oJAB6qJQJQBIGKVVwnYCy5EoqNoqBBhadavmRUgiqeLvjuLjkdA9ZewR/8SWBoTEbq07mcDJL3Pau9ju+es+vP3Prh68SOIJxRAAHgB88UXF72jtve3T9Infz1vFbp6t76I9WF7D6uQKQTgNM98WhwW0tKOZiWGv9PF7SIWGtEdGTRgpIw2wc/R4StbVLAl+DpS4WJQl6vV/4n8/CRQ4H8Bpzifea5RQ0JZEkTk9C/Tv53sQhpSQRdw4+NKInqq4KSHg5hJ+tKUiU4aQttoQkDESqmH8pZdCrPgC61B0oaHBRCFBCwakEowy+YHB8C+ecWsOn3jOOBx6zcdlZWdG7IHerx9KfJ3yne+sR4vOo2J7nN9wNQXIn5+jG55568sfsxi+0Ys9EC5BJgxEGXSRe9cExKUgE5jrJzwB2mO+Jxpw5yafrFBEiG/LymCMoKEJvRiASEhW91zmoyUL3YRk3/UgDySx4rQrgk7BZlX5/vIg+QqoWNg4w9f1wu9lYINFkgEbt1+PdNvT/H7WOMTvcafqG4Dzp8xX5AXRLyHinPFUHPlEaxPCDROWy4/4RdXyjFjz1kc9VMDRZw4c+14Jlp1zOz3pd7/LxycqGd77l+iPG5hFbcABYtrQPQOcmIHXDlp3kK9LeQFkqjZzD4JhWF4Z8Z9AOZnQmoDBAR2Q9r9ZXZqPnDdbFrPcsV/fBmAdJ/D3Yew9FSDkox8bs2zQYVahX9AWklKEKAyDsdkaIUYnM8JBGthtG/xx1l1DFe2CoKERZ6/D3lZBUbdMWXFv0MBFd0PAY+nMo5SAg8GoUl150sThQO/0Gme7dVJ4YntsJPMg4KgAn5DxI7xkX1hXf+Mkzw9mO9sqd0tuPQlp1qdLFXqIbo0E7DPc6kHDUhJPLBK0wwWqCOvnajBYMdzjY/2K+iD+fLUFnxm1Hco+c60ViOni0xZUNvlMwAdVVstQ/JQ2QhztFaqS+KMLd1QptuWUAdhWZGDSg1b9hQF3MO4I+vtbbAYJKlSJf7MWVq+hfXH7/67+xApv4+9966hGcuGgcFYADALFPw4tb9/KP/NE1W5b3PTX53Xsfyo+NTcCXDBVPxfdqKcycDJrWmsBQTGicZtQBuQEAiD6BiQugjsrM9D8c6v+MQHnRrxugfLZjNjTcBnFuFEYrkwedo4KjJ5N6EkpI9AH6oogUGMMYGbNdYpxU3fNHGBRF134HtOc06plqtryRgeOo6lqo1gjS6VY091462dl9xpanP7SLp7KLD/GXmHkcNYADQHMhg/L05INXXrzyTzO2/4V/f+hnLRtfHkfFs8I63Np4xBQSY0IYlQ5OAlLGwCnn8H1mst5HYm3JQfY9EoM9E1Y10EODal4AtP4Y6ovIhgdPHkPtSkJNJUqwMI+nfwGzRTuJ+HdwJ9C0RMmJqu6JNEqKqP8laPMtgYlJgslqJ5YNnj9S6jjjxqmp6Qcz2aYjOIP146gCvL21CAAYH5+4+4pLzrV6O3D7nXf/rG33uinkHAVeHvR6MbVrPdmKh7XGC/OEv5t54mUc6Mk8xsOiFIntxDT/x3A0CqdteLE3ikiUJGZBMeP+AZBl/L3Ri/htVHHviJtLKgNXuw64Cz6bak8owLnyfThOFTUUkWm/aKh/0Zl/6br+3cXm7qN+3o4qwPUoFguQcvhbZ646nS5es+ezL25a25a1JSYrVAXomAqKAWxG9ew8PrGc4XeJBSQd1KInYqsbctSjNOZyd5lx1IHz0L5ndC3qiaOeGM5ySgzqGLrd9XpDR49NooIn4V2WKs4dtpDUsUlUqILMhvIzMeUg7UsMDC4ZIs1nfmLzbv6tpQP5V+S3YEd+iMbjllvugNN2zjMMqaHOvHteKTuVGXM5hiYoMlaQU6z7vwe94C3dZcFYzPhuU76r49MHsdbhrdV8b2whsdeRjEhm2Ic0eCSJ95Bwocn9Ef8sxD6z0fdrvD7WFcJ4bSpIyWOgwfnTDD2WmIxk3RQjrFaH2cLY34gkjO4G+v8XaMq42D0q8NzGJuQKAyOLBzpvKtCN31rQ/7pXCoavjAXX45MfvBr/8i//eteJnQvcnC3/Kb12XX7L7lY4OQnbinTt+jhugyIkJoXxGGcVM6GLNhoPMWOj+Wbyed1IeAgP18If1vvMiEByaHeBmT7OpDE6yUPvP9t31CG2YXKyMCvcRl9OGY1IRVFAVjycSRFOZnVlKtuexi+eB6rVnsk+0f+hp1+wvnfJZW/DKzleUYADwDmneWJ+d+6ex55s9Sv+Cd9uzw2lSzmmKh35ah8WtKkwnSoxN7vxg8fKlGnFIcjINkM3wscEUSUGgGWDi+ewxqvAz+fyESTxIsxeMmbbpqOm3nJEKo6AmQBhFA1KnCii3fqhM0zFqAAUhCqQuy7DdMWGlB4uW9VWXb+9+X2Prsvf11qYOCI3/NE6b0c83v2Xd2HXVBNb3jZ2DXWHvjMytCM9Ok2wY0i1ycg4mrLESzWY8mAS4Lqkl+6Hznm897kJ1jpKgkitibyXJJzsmh5NRoIYDaPZFKMwPJ9E1SYiJDwGYxFV0d5MFjatMj2gCD2WhCjKFhY2pZEDLPRkMqNhrfYfmOsM7yYzvJmhJ9goPqrBHgE8AjEXBJwrKU89akset+C6F5NJeSiRYEzCsTgyaQ7b9vHy3jT2DttYvKi7evKJ2XfNXzJ5PyZTnBRufMWxd/hxiIcw7rr93fiDlTU+Nt37bytP6Xv3dVf0lhcPTmGk6oMLApsRpBwS1CBX1lwvNiOwmNrHZgR2wN+VxVeACn8jJCuWBj8MDOAbMdTxYOoExwmey0Z2/RgrKjN9jWS4QrReGhw87nI3+4TSxC1AJz74nMLzCTw/eOTB4lN4nML3CTyfoOYRVF2Kqkvh+gyUSjRlJ/Ds1jFsH+kpu7L73fOXvOHf1qwefFXADbwKFEWP97/nHXjkJ/fJC994071y+CPWC3tbv2KzyaLDJHJpBXCCoOCiwfFiQU86zJMCVEiQwGpTAXAgtEBJrymXBFRLWMah6uU0HDfgndMgjVYZZD4GeHPCaZT7CPaVJEh+IAE9kRG4fU7g83iRIfP3URSShL2bQCR8nyKd8pDLAp3dHeO/erH9T970ll/f+93vWnjnO687lqfolR3Tuz6Hy285DWcvHX83c8uf3//yC/OkNwnHUZ12qzUOz9fyVkQbzCEkwLmE5wM1T6LqSlQ9wOOk4QUS3j5pPGIxCqYyKIgR+BRuNwOsAioRfTcz+OrVpShagVLf06wPadRjJ1EbRxqjLTLG0SUAGSQZez5F1WWo1qzAGivKIhKMOVS1qMoUcn2KSo3A9QFGOHq7czhtRe+BYgEfaemVd/3Rxxnuuv09ryreXjULrkeu5yYAwP0jY3dZFrPWrFlz23NPr26rVicxPgVMTnMIoX7skIbopqjQbEKCUwJCBDyuC6OrE8uNHyGeyqYL3UTR0Ia3Opx0vuZHpNAZd0DddSPi4tGjAqg6YerOqHwVTGW7exRVl6iisWFGUHBRBRel7oFk2xx7D1AMjXI0l/J4ff8FQ92Lzvg49/ldhBSPyel41QGuR0tLCW6t/M3zz1tF5pXoZ3dt+UnbUxv3Ydv6LLqKgGVRWEz1RmQ00phJgE4hAcsjqLocVReYqhF4gRwVWufAeum7KoWyUiKwelFqVwQELa28lthK1B8pwnc4WTcvchJvXhBNTEXIw6UELGZBCIqxSQdTFQVwaQQS6buXxQBLqjuJnRLobi7jqY01DE924JJLzxk6dcWZn/A8fDOfP7ru90MZxwzgAOCkspgul79xwokr/ULevfPhDY80e7wMCcBiBI5N4Vg0VClCp4mhmafTHjYNu9g+QWBbVNVPYTJo101gaS5KNRi0U0JG2i6J5LHXDKoTw4wgiTh3cknEilMZ1HgPCqIyoZLGLQ6PZ7BjfwrjU/o9+k5q+C6CDsQWUxdGyhY4a0UBTvGi0XPPPvMmxvDtTCZ7TM/LMQU4AOSyWZRr7t3ZeWeOOLmhwWsv8+5Yu3aN7VgM2YwFywq8gNA8WnW+TTtAU1bijHYPfX3DuPM+C7vHSsimLDRJgjQDoNOuAo4Y/O7hY2jFjfiORmlhsXEcXgBJ/TsWPQkD1AmQ60rAFuOwLR+O7SGXqWBowsW3Hk7h5e0c8+e5yGUYUg4FYypxA8HvQQngWerTHVsg03y2d+5g9WNdg6/bQpnzI0rTh/ifHP1xzAEOANmUI55f/+KDH3vvFc7zGzaWS3nryzu3/47k0j7lnIKLaPZOqWpp2JSRaC74aCt5OGNpDQ4bxS3fJBhxm0EIi1z8Ach5oNkKqT2aUUIAgLgDYw6W/NBxfhRuDwc5RNgt06QsAfc2O9+FbWWCrtKM+bAtH+lUFTUxjb+7t4T7fl7CwnkCTY5QGfySwbYpWFDWQUqACwnPE+huz4iBE1bK5rbBD87rWvTPw0PDbmf3vKMLksMcr4oOPpdxyrIl2LVnr9vd3XF3f3//0uWnDP51vjgPgIdCTsKxESoLtgWkHIFMigfOChtXrfKwcukkqHBR41Fhdd1/UYpGHbwM6UvL4EcUKTX3Y9QlNB+FO0Ms6tKYRJq9k8yUNW3VVSwQh215ePIFih88UYAnbQBA1ZVwXQHPlxBCLa4nMDntwXOrWNBbQkf3gr/u6OpfWmxuv3tsbL/b2X3CUUDE0RnHDcABYPkpS7HkhIGKTYY2XnRu322tHQO3Ll/Wxzvm1eB6PjxDJVEqi+oywblES0FiYbcHBgFhuGe0501pu/EmpEGXu1A3nwmYJLHUDTnry6M25AwrYl5b7alF3GqbykkUxx1dFHrbtt0UYxMMhCoj4XNlqQEJRklAUwQmaxKtXQv5iYsHby129Nz2243bN7a09lW65y95hf77wxvHFcD1uPCit2L1UxV+/duv+/SlV7/19q7+lbVUpgmM+hif9MGF+oEsJmExgVzGxwvbCX76eAauZKrWdMhDo8mkkJFOHgM6GoDb0M/NdTOP6DYQC/GYBe1khtczXkj6U3TtPzS+mJLWW5e1JoEubqQ3hBGAXKhWuJee7eKkvipqVQmXE/hC3eUYI8hn1V20tTVXeeOFp2687vp33HHVm/7w0zni8rdcc+QJwq/EOC44eKNx9VVXQ8p9WP9C8ydPXPZm2t+/adUjD99HN22zV3netEWkAnfK8SBkDeteYhj3MoBlq+qzxCg9gciNL0FUSWAEFYFDCaXBSPq8Z1pnDDMxIRnMNeNHmK8bvKGR0hNLgJjhwDqznRGjzYwx59DApkGdQd+z0GQxrBiYxuYdLsq+A84VLeG+j872kr97iv3m1NMvXD8xtu1PM9mM3LprBAt7Wl55QBzmOG4BDgCEdOinn/jRj36E7t4L8q0d01+bGtt5nSV3UUonMa9YxZObBG7/XhuGKwVk0hQ5JpFmEo6FIKsk6sNIAMhATCdKYIm59tXnJmgJqV/XaIR6+hzBHX1g4qBk5h1lVLStLqgs+BYx663bzFiMq+pVJPAFSAJfUNAg051RCxU3haaMwEf/YBpb949i3Qvt6Mhw2HYW/f3zRU/fwPdPLub/2HXHJq942zuOKTbmOo5rgJvjyiuvxK6dL09advpD46O7N+/f+fSy5tzua3YM7cD//VkTxidbUHBsWBRIMYG0JZG2laV2OcG0S1ATBBSAwwQQxC5bFDE9PBaHbqA6TF1LjqSzSAKSHoZeIhEnjKTxLlFygYwKaAYxNjpnUlMzTU0YU9q2xdQExucMXs1WAVGBc4cxAebbmK7YKGY8XH/OFHbutjGwaDlOXli8/4LzT1/f19v99+VKdXJgoP9Yw2HO4zUDcADomb8AAIbHR3f8z87ua/uY+xQeerxwzdadL2Fhcw293VNY+5IN4tvI2BL5tITFCEbLErsmgSkfcCyKJklBoDxwIkA2McFB4kuyxUmdxU3Kd4eYLWFyffNOgeQhEV1MQqqkXh1sJqmRhRNcjCqmRsBmAo6tdO6U7aPm2hifSmNiKg2LCcgsQTrlYarq46kX8+guFXDmyQS3/NlySPv0+9903uIbh0antnd0dh5rCBzyeE0BXI9icy+4u2c7zS+7qaklf/dH37fyw8N7t5zXmvk1nv/GCGp+G5rSEs15gnzWwjm9LuAM4+v/zrBzpASRdmARFXYbKxESc2tHla5iYQJIdltT6DbvAoc7dGRfLB7e+BSl1Qc0JYiJ16Ub1IRZQopwx5CDWxZHynFRyJWxd8zF13/YDktksajLQSGn2gcXm8qYrEzgP9YO4F1XrMD8Rf2P9Z9s//2It3TdcMXdvmhwwbH+2Q9rvCYBDgDM6QKAzVLKzQDWP7kWXf09PV+9auvvFj3y6CaWz3C05C10tTlY2g+sWALMn3cAf/lNgpHKPFQZRUbIMOsnFhkYa3ViriN1c0xdsD2MHdcT2bkMkniaiB+JFcyRUdXXcA4RFrkMEkAIAadRgXt1lxKwLB8Zp4aJchW3fKcZjz7ZgjP6AUsCXa0MlFhoKWTQ1nUxf/Obzt3c1CT/R3vv2XukxMZ59Aiu2ONgvGYBrkdQbGejlHs3eh6/9MJVTT1vvujc7/9q9WOF8sT+XGuhgrQjwLmNS87g+Ny9FQxPuijzNPJCWUM1GTMSnWmUWRTlipIocCshLQoRVFQlUYewBt80etpgcmgmI5j9hcK3hI6ooASEWWFKEHB9DE7gMwInmOUyKpQb3nGxc5Tjx78pIM8s1Goc+0ZcNJdKSBcHp+efdNaEZU1ee1rxhF0S1nZyNDxPx8F4zQNcD0I6IaXYfuWF3TsmJidPzqfJWTaTX58c3eTL6oYWxkbyZY/AYgJpMgWPO/CDenvKO0rgWDAKZ0YWnVEd162VCxk6iUL6LYK4l6BOQZL6JPDdMLhLx3foGHCNMSGieG31FhLUASRRFCQIPB+QkoEQgFuqAQ+lAo7lgfMqPFegKeWBgaKtrXVy1aolI2ecdqKVTtP350sDv05lcuMlCUFe41bbHMelo+dwB1Fd2UR5ujw6v6f7oXwhv/jhn/xwcOnKd36mp/+MDT9fv+TZc1b0VG+4RoDwCqq+BJECNgMyDkHGoWFIAKAnaSplzlwoUUDjQoJzGWjF8bS48DvBzKohhiU2so5M/k9VGXXlxIoqxgpB4HPVHdvjQXIHN+4iUsVuV6oUlRpDzSNB6TQOkCq+92gHNu1cXL3hLS3PXvKGlRv+4s/e9Zkf3Puvg7mm/OKWeV0PjU9NjRJCfq/ADfweWXBzdHV1AioEpTw59hJA7DsoZ3f095zLTl1S+nKhaXjxhqG952zfPsJSVhm5NEc2JdCUc1CuApNlX2X6Wyps17ZVbDoQWFMpIH0Vn8FlUDjU0hdGHCBRiG+0PuyLI+sL0yjpUpXVYEwadUgA1yehNbeY+iTHlkFiiMT4NMX4lEQmJeHYqj2jk86DpPq4XTh9dUdny8ZS28gNO5/0eS6bxmf+7k65cOGC8rH+vV7J8ft1uc5h7Nw3jqZsqnnrzuG//dJdDzkHdr7Ml/ZlX9febK0sZvZj865RPL5OopCy0ZJnKDRZyGZsWJaa0Pm+hOcL7D3AMT7lh9GNaYcg5VA4NoXNVMyGStigQRSesra+r4pSMkoULbLNJGuJlCORSQmkUwIph4NRYHTcwu5hG66vYkOklLAZQTYtUchxtBQ92NYkHnuGYbLSgpXLOtHdJp/qmbf/6QULWlmx6y0usTv/CqI6ypzjI8rv1Rq/lxZ8tjG/owgAowD+BAB+8YvHAOA8RvglCzr2XbtycmpJvs3DumdfQiYjkHIE8lkfjiUxWbFAbAvFvECuqYoHnxDIMIaWpqC/FqLKURKqhQchKikg5QC+D5QrAp4vkHIYLItEPNugLIxJZFMczYUqbKeC3/yugGqZIpNmqLkeRsdrsC2GjlYHzcUU0mkbpY5F6BzLoZsVXlyypOX7hXzqJ0LIx+YtPAfAR4/1aT9m4z8dwJPjggvOA4DHJN/zGHDiL3uJGEwXxsSul4fFor62gcUL2z/Oazvhcok1zw2jlBpBPktxWu8knt3h4vmNrcjYArmUstKOrQi8zyWkECoryQY6WzhcXsOLOyR8j6KjhSBHKOwgnMDjAK+pEmcEEinHQ3NhCs9sGcdP16Yw2C6RyxIsX1JEa0cXJqcpTlnWBxujtzEMvdTTdzG9vGcezWboFgAPDfS0HutTe1yM//QA14OwLgB4SL8eGx2GbTulA8N7nxjZTzBS9r2zzz7pzwe6am/0fYqmTBX9636OF7alQS2JTIagueSgpcCxZ38FlQpHuSrRUrLRUrDQ3lxGmY9i24E0ZCWDQlairSRQzAlMVwhcFxifttHbkYFte8hlfaQcC+lMB977jitRanLAASzqZj/dsXf0zuFR21685GR0d3c9VqvVxjo72o/1KTwux38BfIZRam4FgDEADwDA/n17IUFeKOTKHdUaE57vgrBnkXY8WDbgOAS+D++Ki5fevGZ9+aqU7XsbdxA0NzH0dVnoXVBBhY9h5fIM/GoWi3sY+rooWooVvLDNRu9C2966P/9DTK+/mTHbtm0LhNpobynglIFlYHYaNVfS1oK9r7cfL3V0vPbc5sdi/BfA5zjaFaBeCpbY2BA8Tu5/CJTijzfvGS+25D15oEpRyjCUSgzZpiqob6OrPQ2vmsG8FobmZoJCfhpO2kFzS4q0sc5xQnr3vfWasxOf8Plj/e+/Zsf/B9MfV/UdgvAsAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE4OjE4OjI3KzAwOjAw0TexRQAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxODoxODoyNyswMDowMKBqCfkAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 44814835
{'hecke_orbit_code': 22519028979336218, 'n': 1, 'trace_an': 12}
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id: 44814836
{'hecke_orbit_code': 22519028979336218, 'n': 2, 'trace_an': 0}
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id: 44814837
{'hecke_orbit_code': 22519028979336218, 'n': 3, 'trace_an': 18}
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id: 44814838
{'hecke_orbit_code': 22519028979336218, 'n': 4, 'trace_an': -12}
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id: 44814839
{'hecke_orbit_code': 22519028979336218, 'n': 5, 'trace_an': 0}
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id: 44814840
{'hecke_orbit_code': 22519028979336218, 'n': 6, 'trace_an': 0}
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id: 44814841
{'hecke_orbit_code': 22519028979336218, 'n': 7, 'trace_an': 8}
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id: 44814842
{'hecke_orbit_code': 22519028979336218, 'n': 8, 'trace_an': 0}
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id: 44814843
{'hecke_orbit_code': 22519028979336218, 'n': 9, 'trace_an': 18}
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id: 44814844
{'hecke_orbit_code': 22519028979336218, 'n': 10, 'trace_an': 0}
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id: 44814845
{'hecke_orbit_code': 22519028979336218, 'n': 11, 'trace_an': -4}
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id: 44814846
{'hecke_orbit_code': 22519028979336218, 'n': 12, 'trace_an': -36}
-
id: 44814847
{'hecke_orbit_code': 22519028979336218, 'n': 13, 'trace_an': 0}
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id: 44814848
{'hecke_orbit_code': 22519028979336218, 'n': 14, 'trace_an': 8}
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id: 44814849
{'hecke_orbit_code': 22519028979336218, 'n': 15, 'trace_an': 0}
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id: 44814850
{'hecke_orbit_code': 22519028979336218, 'n': 16, 'trace_an': -24}
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id: 44814851
{'hecke_orbit_code': 22519028979336218, 'n': 17, 'trace_an': -24}
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id: 44814852
{'hecke_orbit_code': 22519028979336218, 'n': 18, 'trace_an': 0}
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id: 44814853
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