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mf_newforms • Show schema
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{'Nk2': 3456, 'analytic_conductor': 16.868791376142575, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [54, 3, [29], [2]], 'cm_discs': [], 'conrey_index': 19, 'dim': 8, 'field_disc': 82931936467147681916025, 'field_disc_factorization': [[3, 4], [5, 2], [31, 2], [41, 2], [5035039, 2]], 'field_poly': [8783438400, 0, 125389995, 0, 633664, 0, 1336, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [17631936921600000000, -96730765056000000, 1544806870560000, 5110139826000, 55374420825, 33030990, 244431, 54, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503737200541750, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 6198727824, 'hecke_ring_index_factorization': [[2, 4], [3, 18]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '54.8.c.b', 'level': 54, '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], 'level_radical': 6, 'minimal_twist': '18.8.c.b', 'prim_orbit_index': 3, 'qexp_display': 'q-8\\beta _{1}q^{2}+(-2^{6}+2^{6}\\beta _{1})q^{4}+(-14+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '7.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '54.8.c', 'trace_display': [-32, 0, -54, -44], 'trace_hash': 1747251100501168702, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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'weight': 8}
-
mf_newspaces • Show schema
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{'Nk2': 3456, 'analytic_conductor': 16.868791376142575, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [54, 3, [29], [2]], 'conrey_index': 19, 'cusp_dim': 114, 'dim': 14, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 137573171254, 'hecke_orbit_dims': [6, 8], 'label': '54.8.c', 'level': 54, '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], 'level_radical': 6, 'mf_dim': 138, 'mf_new_dim': 14, 'num_forms': 2, 'prim_orbit_index': 3, 'relative_dim': 7, 'sturm_bound': 72, 'trace_bound': 1, 'trace_display': [-8, 0, -108, 166], 'traces': [14, -8, 0, -448, -108, 0, 166, 1024, 0, 0, -8751, 0, 3694, -2032, 0, -28672, 81762, 0, -46778, -6912, 0, 35256, 41682, 0, -181369, 263840, 0, -21248, -522930, 0, 144892, 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mf_twists_nf • Show schema
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id: 45760
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '54.8.c.b', 'source_level': 54, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '18.8.c.b', 'target_level': 18, 'twist_class_label': '18.8.c.b', 'twist_class_level': 18, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 45761
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '54.8.c.b', 'source_level': 54, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '18.8.c.b', 'target_level': 18, 'twist_class_label': '18.8.c.b', 'twist_class_level': 18, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 8}
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id: 45762
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '54.8.c.b', 'source_level': 54, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '54.8.c.b', 'target_level': 54, 'twist_class_label': '18.8.c.b', 'twist_class_level': 18, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 8}
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id: 45763
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '54.8.c.b', 'source_level': 54, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '54.8.c.b', 'target_level': 54, 'twist_class_label': '18.8.c.b', 'twist_class_level': 18, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 8}
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id: 45764
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '54.8.c.b', 'source_level': 54, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '144.8.i.b', 'target_level': 144, 'twist_class_label': '18.8.c.b', 'twist_class_level': 18, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 45765
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '54.8.c.b', 'source_level': 54, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '144.8.i.b', 'target_level': 144, 'twist_class_label': '18.8.c.b', 'twist_class_level': 18, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 8}
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id: 45766
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '54.8.c.b', 'source_level': 54, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '162.8.a.h', 'target_level': 162, 'twist_class_label': '18.8.c.b', 'twist_class_level': 18, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 8}
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id: 45767
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '54.8.c.b', 'source_level': 54, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '162.8.a.i', 'target_level': 162, 'twist_class_label': '18.8.c.b', 'twist_class_level': 18, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 8}
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id: 45768
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '54.8.c.b', 'source_level': 54, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '432.8.i.b', 'target_level': 432, 'twist_class_label': '18.8.c.b', 'twist_class_level': 18, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 45769
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '54.8.c.b', 'source_level': 54, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '432.8.i.b', 'target_level': 432, 'twist_class_label': '18.8.c.b', 'twist_class_level': 18, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 8}
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mf_hecke_charpolys • Show schema
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id: 181175
{'charpoly_factorization': [[[64, 8, 1], 4]], 'hecke_orbit_code': 4503737200541750, 'p': 2}
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id: 181176
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4503737200541750, 'p': 3}
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id: 181177
{'charpoly_factorization': [[[17631936921600000000, -96730765056000000, 1544806870560000, 5110139826000, 55374420825, 33030990, 244431, 54, 1], 1]], 'hecke_orbit_code': 4503737200541750, 'p': 5}
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id: 181178
{'charpoly_factorization': [[[41535223608174344730256, 111893615694112880672, 766641076291049572, -1271173518714088, 4982472378133, -1198498444, 2284573, 44, 1], 1]], 'hecke_orbit_code': 4503737200541750, 'p': 7}
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id: 181179
{'charpoly_factorization': [[[122857166284211283319830380625, -5984805648037029098193900, 15854345179620349767354, -764495806335090048, 1657978193785707, -62288687232, 49118058, 2172, 1], 1]], 'hecke_orbit_code': 4503737200541750, 'p': 11}
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id: 181180
{'charpoly_factorization': [[[27940647791654577916764304, -360858872767445839659664, 4724975866328566044508, 764277108182093852, 579992548559173, 58570803398, 53120371, 6398, 1], 1]], 'hecke_orbit_code': 4503737200541750, 'p': 13}
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id: 181181
{'charpoly_factorization': [[[-210056230169932428, 32400993084516, -935394723, -25986, 1], 2]], 'hecke_orbit_code': 4503737200541750, 'p': 17}
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id: 181182
{'charpoly_factorization': [[[-576050015928898448, 53571713197576, -729395733, -45356, 1], 2]], 'hecke_orbit_code': 4503737200541750, 'p': 19}
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id: 181183
{'charpoly_factorization': [[[3739998942661081567814408752081779600, -427268956321566121530098357226720, 36418658132305472827339628964, -1423756371762128585294568, 43453562541407796357, -428874228511092, 6412825413, -2028, 1], 1]], 'hecke_orbit_code': 4503737200541750, 'p': 23}
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id: 181184
{'charpoly_factorization': [[[18517303849305434846372224938264854725776, 1067513124655225259736774684405884208, 58895956024112536181816650248924, 229566283115254685251838316, 2734928619554088780885, 10185704284490946, 99586455219, 283098, 1], 1]], 'hecke_orbit_code': 4503737200541750, 'p': 29}
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id: 181185
{'charpoly_factorization': [[[11860873163656667697263167850649914118400, -684044995161958759062897553745428480, 30781380994438176475518369411856, -499792882459988104414729600, 6440093571025397228737, -12626564845127308, 79601451289, 812, 1], 1]], 'hecke_orbit_code': 4503737200541750, 'p': 31}
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id: 181186
{'charpoly_factorization': [[[1459250521395487325248, 8233410374707360, -69140607708, -220844, 1], 2]], 'hecke_orbit_code': 4503737200541750, 'p': 37}
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id: 181187
{'charpoly_factorization': [[[61530408154511896752083741971471123409646561, 754191063087785135925952571238772412784, 8201172013647477044507693687195730, 22366445875592027791179545856, 84245022358182782066259, 111083482985078016, 505938441330, 610704, 1], 1]], 'hecke_orbit_code': 4503737200541750, 'p': 41}
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id: 181188
{'charpoly_factorization': [[[14745793863010463922643322663451100626506881, -252515815043634129302936656971705512140, 3148280210114744204221799574895138, -19489664508343784594206217440, 92071463840826250284883, -157357939606545760, 313355472418, 84380, 1], 1]], 'hecke_orbit_code': 4503737200541750, 'p': 43}
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id: 181189
{'charpoly_factorization': [[[158452113120114733749289383863545497638000016, 978580994512201382268928668089516400288, 6807414768805464927960600954484452, 16825677956641106680670718840, 82792987503881259374469, 207404917182140580, 671556880197, 855708, 1], 1]], 'hecke_orbit_code': 4503737200541750, 'p': 47}
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id: 181190
{'charpoly_factorization': [[[32736906036137270594880, 326771417835522720, -920764298556, -921300, 1], 2]], 'hecke_orbit_code': 4503737200541750, 'p': 53}
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id: 181191
{'charpoly_factorization': [[[7342298373126641851063712770949645057949153647409, -2165733287860578529722525642186433319232780, 10659577318755667955313102659414783754, 892128506263443591899655919104, 11271004311831048016655931, 190282360023643392, 3843155977434, 380796, 1], 1]], 'hecke_orbit_code': 4503737200541750, 'p': 59}
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id: 181192
{'charpoly_factorization': [[[404254804113544429125326445315277844835000193024, 4588558319631754415044939278363386323785728, 51015119377459390712281972682068273984, 16130001406461709810877330410784, 26198853655290567320833849, 9140435128301447522, 11609429589199, 3151130, 1], 1]], 'hecke_orbit_code': 4503737200541750, 'p': 61}
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id: 181193
{'charpoly_factorization': [[[774692077735666543951462885025363696321067906826225, 1496469250281177072034043453322177205750685060, 1897043165990387453222148246254655136426, 1364959846389421288077673393902848, 711148393834945814930982619, 248108742666243319808, 63531949217722, 9961580, 1], 1]], 'hecke_orbit_code': 4503737200541750, 'p': 67}
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id: 181194
{'charpoly_factorization': [[[1043289457337841429040128, -5545373868546774912, 2118841171056, 4485192, 1], 2]], 'hecke_orbit_code': 4503737200541750, 'p': 71}
-
id: 181195
{'charpoly_factorization': [[[176138303245828774355443444, -193999119498811047956, 79960667801325, -14617466, 1], 2]], 'hecke_orbit_code': 4503737200541750, 'p': 73}
-
id: 181196
{'charpoly_factorization': [[[66942505698427825541559416431772235982437312588331264, 72216084689349579489788181305125517526798234368, 50238641799091985629655983344263543759824, 20888957204414765652562220134298768, 6344145158792157497486230177, 1292677139268348063212, 192684430633417, 17309396, 1], 1]], 'hecke_orbit_code': 4503737200541750, 'p': 79}
-
id: 181197
{'charpoly_factorization': [[[7269599880598881953676485683166661055751836356864, 51880510336602930888223560669088364246712960, 311253770527438525356262427701633238256, 483174396348305653224637100703432, 697797082117672408901413881, -290568856100384298096, 110832813015021, -11520192, 1], 1]], 'hecke_orbit_code': 4503737200541750, 'p': 83}
-
id: 181198
{'charpoly_factorization': [[[-2504472128350956941823560880, -1340099097490548961056, -78434081312472, 13033032, 1], 2]], 'hecke_orbit_code': 4503737200541750, 'p': 89}
-
id: 181199
{'charpoly_factorization': [[[301130061612716401682220311980466185914172417141980625, 48292766234954714385578520616842692993011590200, 66153026464213886848198246358257605267706, 14781523600751016870277671102311552, 13814189052444690764850946651, 2517977792860461469568, 377698869581866, 22003112, 1], 1]], 'hecke_orbit_code': 4503737200541750, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 2, 'label': '54.8.c.b', 'level': 54, 'portrait': 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xI2re5Qq4YIaYgiQbNbYa7pMVYVuNJletbj+AXB6UsJZxcS/EqXt9zS4T23gS9HOXKmwdkZxcW5lJmFmLPzhuNzhpv3zvELH11i7cgYp6bHrXxZdFhsCbQ2GKO5OB9zaT7k2p0u2tuk77h56x9t21j7mVY3bt1zz/tfb0j8mV5/pQE+M9tGCEeeO/GHotm/+jde2ffZa/duv3THukbHOXdpLWHk0uq4LHcU7Z6k0ze02imLzYSFZsLFJTg+L5iaWuaf/dgCt+6ocm5mnOnZGtPzDjMLhkvzCefnUmbbCaPjfe66tsPtu8GTFXzlM7MYcHHe4dKioBtCkmgCT1MLUsZGEjRw5lJCqwObV7vUKiHGCBAenZ5m05qQhWUHjJUiyx0IEzAYFpsR61e5tHsKoQxChzQCl01r+yx3BWemHVLtMNGQ1AOB70KSCLqh5NKi5OKCYWYpwff74CbcsafDG/YKphoVFpYanJvxmZ6HmfmEmcWEC4twYsFw8555/tmPLbFmZISzl8a5tFBhdtFloSlpdlK6fU2nl9LuprS6mk4oOHwp5J6bVHLf9WNPvecdP6JrY1c9Cfzj9WtGXm+YfNfXX1mA/6N/9V/5pb/3UU6fXfi/Zs585kMHDx7f9KVvh5WmXuIffWSWXevqXJwbY6kdsNx2WW47tLqS5TYst1OWmjELzZSZZTi5KJicbPIvPzbDjVt9FpbHuTBb59KCz6UFydySZmYh5dJSSidKCHXCjo1ddl8Fi0uSqzeG3Hu9Jk4UAsOfPB0w2wzYMB5y+qKi06lz3faU2VbCmWnYuVFybBru2KXRJqQbB/hORCNw+M6rFaqVGF8lRKkhTR1uu7rHifM+OzfHnJqG+aUa121PafX7nJhRbBwPWWxFfOWpKkYo0jTlvhu6bNtouLTscuO2PtvWuSRxlW6vwsX5gEvzgrmllNmlhJlFzdlFwUwn4oadC/yfP9Fh7egI52bGmFkMmF9ymW9KltoprXZCu5vS7mmWu7DQEZxdMuzcPM8/+KEeSbSBpw9PUR2Z/MZH3nj6/dt2Xa2jOI3qa/9/rzdkrvj6KwnwZ5/8PLe+YZf6p//3c/87ycI/WZ47rcJuzPSc4pVpwdSqRX75r89y7ZYalxZGWGpVWWp5LLcdltuK5TYstVOWWglLrYS5JpxbEjiVPnfuXeSH7o3YuqrGcqfB7GKFuUWP+aZgsalZaGqW2ppWT9MKDd1+wkQjZtNqDQh813B+1kVIn82rFFvXGdat6jKzFLLvWJ2bdhiqlSUOHB+nXouIIpeJMU2vD1dv6vP7j4yya2NCGBomRyRx2qMe+Bw83afi1rhhZ8IrJyNmFjzWT/hsXQub1kQoFXN+HjzXIIRh8+qEsbqk3fPpdF1aXZfFlmJxGRaamsVmynwz5VITFvopm9Z3+KH75rlzt0PgNrg412B+OWB+2WGhKVhuaZqdmGZH0+pqlrqG+Y7kwrLh2h3z/IufWGLt2CSHTk5ydsaASMJtW8db11+z4Tdv/LGP/PNf+zsPpz/2kQ++3tC57PVXCuCz5w4wNhJUvv709CbT3//hs6dn/8WXH72EMgLfMfQiw6VlybEF2Llpjo//1BzXbqkyuzjKYrPCcttnqe2y3HJYakOzrVluJyy1ExZbhpmmYLpjQHT4wN1N3nWr5qq1AVFUZakZsNzxaLYVSx1Buyvoh4YoMaQpKGnwXaj4htGGYdV4jOP2OXExYv9xH53UeMdtEY67zAuHRtiyFr72bMLd1/jMNnsEjiJJY8bHIIldHDdhYaHKXTe2+Np36mxdC88fC3Gp8vZbNYnosf9EyqnzAY70WD3mMFYTVHyB5wmUgERDFBv6EbS7huWOpt3VLHc1Cx1DL03ZvKHLu25v8oE3RKDrLCyPMLtYYaHpsthyWGraFa/ZSWh2Upodw3IXZjqSmZbmuu1z/NJPzbNjbYOzlyaZWazS6ysclRIlIWcXNlNtTP7Td73pms824+1n0Z3eTdfveL2hVLz+ygD820+/SivZ4G0ZefEnXz16+Df3H3pZ3LUzli+8Osq5mZRWJ6HZ1Sy2DRdbilNLKddvm+VXPrbADdsD5pdGWViusdT2aXbcjM0Fzbah2UlZbic0O5qljmG2LbjY1IyNdnnrzW3u2J2webWiUXFptQN8VwKKKJFoLdAGun1AaMbqfY5dMGgT8dDzNcJuhe3rPe68tkusl3nsxVFu2OFy7FKH5lKD26/t8q0XfFaPGw6dMfxP729x6LTP6nHJN19U3Hm1YrHb4uS5cW7YGfHY/h5JWOWOPR7bNvbpJR0efEFBKjhx3qFRdXAEdHsSbQSpNsQJIDWOp2l2DLV6zMa1IW+4ustbb0qYqAXMLI6wsFxhqeWx1HZYagmaHWi2E3ttO5pmT7PUEcx0JLOtlFt3z/J/fmyevZtrTM+NM7dYY7Hps9xxaLYl52ZSnj7S5613pPr6a24ymzfv+dlbbtr+qaQ7F7m1619vSAF/RRI9/SiWUdh778Pf+sb2bx9c/Pj+Q99QQgocx+OqDXV6kYvWhiS1jDqZamKtePHYav7JpwS/9DfmuHFbgu8muG4N3wvwXQ/fcwg8RRA4VANFvZrQqKZM1DXrRgRznToPPFHnS4+GXLejx5rxlE63zztvD9myRpOkEkcaogQePxhwdjZg7ZjmwIkA9Di7NyhuvEHjB22efLXL3PwIe7dUScQSF2ddbtkBpy/FTNYCpsbBv+TQ7fvMLDq4jsuWdU1ePTXOjVf7nJpucXZ6lPfcnjLbXODZV0c5eLrGzbsq/Mh9fZAd9p3SrBrvMDMX89g+l36scCQ42rBlbcRbb49odxTrxjQ37oAoqrHYrHLgos9yx6XVVTQ7klYHWt2UVmcQSDZ7hsWuZLolWO5F3LFzjl/8iSWu31plen6UZjug03fo9BWtrmRuyXByOiGVIb43K48ducBUw/z7P/782erb3/mu41r3viJlRb/e2HrdAd7phPS64Y898tR3/o0b7Rs/tL/NqydXs9QPcYi5dUdC4Hn4viSIJdXEAn211oDkxWOr+EefdHj/nYv88JsW2LouZGaxQeBVqPgeVd+lVnFoVyT1nstIzaHbT+n0UlaHml5oaPd9FucCzp8zRInmwqUE3zeAwFMGRwq6PYXAJek6XL9FsG2dYdP6LmHa5uvPKQ4fH+NtN/ncePUSn/66wRNVtqzv8sp3FOtHFZONLoGqEMUus22oBQ4bVgtePhxx484K994wz+8+0MNz67zlNoPrd3n42YivPVPj1VMVrlpXZcvalKmxiK2TMddsSVFK4ygDGKq+z9SoTxS7tLseB465dPoO3Z6ikyXAOn1Dp2vPvd1L6fQMrZ6m2RPMdRWXlgzVkSb/0zvmeN8dEddtrTE9P8JSq0Kr69HpOfRCST8U9CKN56V84KYub7zeZ7k5ynPPveoeuTj6b67dO7K4ccsb/5d+r/+7QSX4HxfgSdwC4r9x6ugzv/SNbzw4fs3WafZsWUuaVDgz43DmnGbEc3EVOErgu4JqINFagzEIoXGF5MDxKV4+VuXY9Czvf0OHN+zpM1pvsNisUmsFNHoena5DO7vZvb5DN3Toh4Z+pIliQxzbB8euEh5Gg1QC1xEEnmC0Lhirw5pJzYbVXSbHmnzjBXj8JRepR3jbTS7X727z5KsxUb/BndcLmr0esws17tipmRztUnF8+olirhWjtOD6nQ7VesiLRwLuuXGE269r8+IRBWaEm/Z4fOw9i3zr5YhvPlfj0NmATVOKNeMVxupVRupQ8cF1DEqCNnDolCBNBXEiiBIIY+w5him9UNMPNd2+phtqOj1ohTDXUcx1oK/7vPmGRd77hiY/8hZNHI1wcb5Gs1Oh1fFod126fUUYSZIUHCXZudFl26oxpmdcTl/0OXgyJjLHeeY7zfGDJyr/91vffIfTbLd+e6Te+B8P4AsLS/RD+bHPfuXhX3J631h187aEMB2nVhGsX6WoVQRJCkmiENgL6nsKbcAYEEIjpUHJFN+RzHUr/OEjG3j4pRZ3X7PMR9+8zDVbO0yMVllYrtLu+XR7bgZsZY9IEMaSOBEkCaTaYGu3bFDpOBB4UK1oxusx61d1Sehw7ELMHz0WcPJcjVG/wi17HO64tsWzR5s89HSD23YEbFrb5fcfESjh06jHLHdCtAElYKrRpdX20EmF9949y2e+VmXbTMC7busSxQs8tn+COA24dc8q3nVLix0bmzz8YpdXzlXZd8pjw7hkvCGo+gLPtQ+hFCCEQRub8IqzlS6KDWFsH+R+BL0I2n3BUihYbINw+ly/c5mPvnWZu/akTNYrLDWrLLertHse7a5HOyOHbl/Si7AAd0BKj2PnPNLUulb9fkq9VuWBx0Pq419Zdeue5i9NrH236bSbn6zVXx+//C8d4L/wr3+Pj7xpiueffezHo6j38Zee2z/ZbHd5+60u445Lp2cYa4DrOiQJaMBosDXKFn1CgBQgpV2iXaUJHMFSX7HQHONzj9Z45kCHO69b5qNvWeaGbU0m0gpJ4tPtB3R6Lr3QIYoVcSJJUkmqBdoIBAYpDL6nqQYJvhfhuSEXFkIeeF5y/LzHqfNjKO2zba3H1VsVN+1uofw59p+os360yt6rYM3UEoutBteslyTa8I3nfMKuZLSW8PZb+3zlsZizl+rs2u5ycbnPwZMuG1ePcd3WOZ58pc13DgrCyGP31nF2b/TZvaHNiYuLHL8Azx2ucuxkjaoj8B1JzTcELkhpXQNj7MOapBAlEKWCTiho9QWtGCKdoE2fm3e0+OhbW9x9TcracZ9ef4SFpmXsbt+zmrun6PQzcIeCfghhbEgSTRRBpwNxauiFKdpoLs55OL5h78Y2Dz/8/CpViz7eaFSTT/3+tz59x+4j7LnlL9cv/0sF+Je/+Hm+/+deQkn1I1Hn+K9vm7gwet2WgOn5cXr9FL9h8D1DgxTXlcRxxuKpfVdKIaVAKYGSKY4j8ByN5xgC11D1U0YDQSt0WW6N8YXHGzyyr8/qsS4fvq/J7o19+r0Oe7caNq5RhLFLmipSLTE5uKXGdVLOzBhOXRIs9zT3P1nlwvwYJnIZCxTrJhw2r3G4aj3s3dZCy3k+8ZUai4sj3LbbYe+2Jg/vE4jEZdWYpFZN6MYe0kgwEuV4NPuCmUXBHlPlvpvaPPVihXWTHrftHeevv2eeT32tzXNHanT6LgvLdbauq7BrbZdbd7b54D1tphcXuf9Jn4Wuz5mLLhcueLhKIKVEINDGkGqItSFNNGMTMdfu6RKGMbs3hnzovpBVI4rxuk8cB1ycC+j0PLp9+/B3+w7dUNHrC3qhPcIIwkgTxpo01SSpIU3tahHGdrUwQM2VTE/XeG5fG+U8PPm+t0z9+m07t8ZX3/zlP/jiH3+RD3zwA39pmPtLswmP7PtNdl53UTz84FU/eOjo/Ke+/uSx6vvuW+SW7TXOzzYwBqQ0aC2IYkmYWIDHiSBOpGWiWBDGEEbGXuhIE0Yp/VDTjw39yB5hDN1I0I0E7UjQjkGTgE4QScJN13bZuiayK4QRmSwRSCGQSuC4kiNnPQ4dD6gFDnVPMlkVTI1IVo07rJtSbF6bsmvzMqlY4N99scGZs6PcttPl9msMk5OX+Pdf8PD0KG+5RbF7+zyf+Kokbo3xI29LWYwW+d0Hqly7ocpbb9dI9yL/7gt11tQa3L7X4dY9bU5cWuA3vlRFxDV2rXfYuNph3ZRkzWTKqrE+Y40+laBLo9rllVNw5JzEdQ1K2dgEjP2fgSSBLWtS7rwmIY1d4sTHGI9+5NLre/RCC+p+pAr51otyxhb0I+hHhijSRHFKFBuSxBCnhjjRxIl1muLESiQp7Gp4bsFw/e4m771NstS/oevWV//kp16tfO59WzvmH/2tH/tLwd1fCoP/xic+yycf2KhuPnTgA3H/xKfD3tngvls1V21YYsOaHp6X0Ol5xIkiSSRhrAgSSRRLokQSx5owkUSRxHPBcwSeq/BcaQ8vJYgMYWzZJYoMjQT75wSiRNCPJWHqE6cBh4/X2HcYUmOw+UmrjV0JnrI1H3Uf9q6FRgVGapKxumJi1GHVOGxaE7J2apnYLPLvvjjCiZMj3HiV4qoNkm0blvj2wYSZhRFu2ioZa2gCr4cvfYwSJKlEGEOSRix1AmYWXG7cXeH6nW2efDFg9ZigGtS5cafmb39ggV//kubghTrLHc1yWzG35DA5WmOsUWGsMUKjGjNVi9l8Y2RtUidBqRQprJwzCLSWxLFids4hThRxoohiRRhn75EkjCVhJOlHkjAS9OOcsS2ZRHH5sKwdp2Tgtl58mNjVNkoEzVBwqZUyPhPy6H6fJNlX3bFt26f/1zs26g+9c+0X333zH6Q33vEj3/sA18aINE3u+vKX77/q5QPNTzy/bz5YiCSrV0UcveDSeFeb7WtT2t0qnb5PGLlEsTN0A6JE4kWG0DXEkQ2svMi6KqGniCJJ5NkLHyXp4AYkgxthl1NNqrF6W1OAWwhQEhwJrgu+Iwh8QdWX1KqKkapkbESwajxh85ou9doyX3wq4rH94yzPN7h2k2LzWpcdG/ukYplvPFel5jpMjSnq1T77T2A77jcauqHiuh0x124zXLqYMrfk0etXecctbZ54pcexC4paReJ7Da65SvPPf3yBRw/2+Mqjkyy0DJtXpSw1HUYbipGaS73qUqsYAl/jexrfSXGUlVoya600Bpuw0oJESyv5ipVREMeSMBbFKhnFhjAyw6BOBsCOYgpQR9mfw0TQy45mKGiFMddsWOAH37TA5FiFteNV5ufOBzKq/N6ffEP9RGIan//iFz6TfuAHfvh7G+D7D5900iT67bB/YndNnGXDlM/yGcV3Xqwz2xvj+PkZPnjXMh+8N6RerdDqBvRCjyh2CSMnA7skcjOwu9nNcCVhIrIbIrKAEaJYFg5Ckr+nmjS17kJqMqckc0uEEEgJSopM0wt8TxL4klpF0KgaRuua1eMhU2NtErPM556QfOprE6wKAq7dJNi01mXLOs3mtUt88WnD4mLA7jWKsQbUqzEzpyWzSz7eVghjK3VGR+HYKcNSS3NpPmDHloA33dTmgccDJurgex5KjnLNNsFPv2sWV87yJ0+O8eqFgNWtmFWjCSM1Rb2iqFYkFd/B98B3wXGMBXkWjBcgxz7YqYY0i2tyBylOM5kRp5YUYm1BnIE7zkAdJVngGhuiVBDGgn4i6CSCViTo9DWe1+FH3z7HD7yhw73XeSw3axw7N87sYo1XXzwXbNrS/a3br1/l1CrOH2J55nsT4I99+37mz7/y0a88vG9Vp3uE991ZwTBCs5NitMZvOjzy0lqeORAw05zhZ9+/zNRYn35YodX1CV0L9ChWRLGTMbrETxRxJl8KgCcDvW5vGKSpdRK0tgGXrXM2xecTwgJcKYGjBK5jARL4UA009UrCaD1harTH5NgyTx2O+L2HKhw5NcqWEZdta2DDGo8Nq2HXphbdpMWzhxpUlMvUmGK0DqP1kLGRBM9zEMI+XL3QY7EVs9w1NDsJs0sem9bUuX33LA891+XIhQZVP8ZVHkKMsG294kffMs/Nu2b5vYfqPHtglIWOw6pGwmg1oRpIKoHCdwW+K3FdgaMkSpHZhxblBtvDamvnLdDtw2+JIE6sO5KkumDoYhWMM3CnZMQi6afQjQWtRNDuGeKkz3jQ4m99/zz/y4dDXFnnwuwoMwsNzs1WOX7ecOBczKZNBxutpT3/brl/i/eF+7/6qR9437u/9wCu4zZCyL/x7FOf/6WoPTdx8GSdwAtZXY+QQlDxDJOBJh2TzLXH+dXPuxw6Oc9772pz3/VN1qzyaLUqBZtbJrcgzzVknMgC6JaJJHGaOy8yYyrQWmb+eQZum6TMmBscZRMmnmsIPE0lSKgHCWONkLWTLWaaXX7zfpdvPD/O4lKN7VOCTasE61d5bFgl2Lquj+Mt85nHHE6eq7FztWSsLhmppUgZcmHO4DsSKcAYQRQ7bF7V4jlSWl3FUssws1hh54aAD97X5PMPe5ye8XGdGCFctKkRJ5Kbti6x+a+1+MaLXX7/G+O8cLrG+jHBZC2lFqQEnpVtnitxHYGjbMAnpSjcBIN9yLTBOi2pBXzuiCQZKdgAkkLiRXnyKBEW2Imkkwi6kSbsRGyYanPPDYt8/11d3nojGN3g0mI9W5FdtAaU5i23d7lxW419R5cnnPH2x3/ih75fzcy2f3v1qvr3DsAvzbZYajt//dvf+eYv1aIXVt1xTUov9Nh3SDBZT0lTiSOh4hnGU4OpSRZ6I3z2UY/HX2lyw64mP/ymLu++PWRqzKfb9+mFHnHsEiUOcZIFSznYE0mSZNoylaSpINVioLW1oFAlZuCjK2VdB1dpPFfjeykVP6FeCZkc7dCLezy83/BH3x7h2QOjjHku16w3rB2XrJ7wWDcl2bA64qr1S7xyusf9T0wxohymRgSNmqBRjWl2U772dEDdMwhhgdULHd57Z8hXn9E0u4ZmRzO75LBhVZ33v6HDs4fbHDrmUfMTlBQW5LpKP7Ja/0ff1GTn2lk+82iL77w6ytmlCmsagpHAUPU0gaPxXJv9VdI+yJbJITfOdCbV8k6oVNvqxHzVi7WVL3EqCi+9n1qN3UlzVyWkWunykbct8cNvbnLjDs3UqEerXWexWaHTt+BOUkHgaW7drZkcDTh+tsJT+zWy8uKqt94Z/NL1179Tp9Hy7yjvL36s3F8owI1e4qtPLdEO4x97+tGn/tXvfeHRiZ0bL7F3i4Pv1al5ijC29cxS2hLYmmcwaBwhWHICLnQ8Ljxb45n9bb5wbZMPvanH2+/oMzHmEYUeYWwZPUkGjkCSWvcl0ZK0BHBtMubWAzdUCJMFlTZJ5Dgaz03xvZiKH1Gv9Ejp8a0XJX/wyCgHTo0gYp8tY4a1o4bJUcXUuMeaScm6qZhNa1qcm2vzn75SIwkrbNggGK07NGrQqMYIN6LVqzFaNwhhLck4kYz7ikQntGOPdjdlqaW4MFdhz1V1fub7lvn4H/qcmavhqDh7MBySJKAfSdZM+Ny0vcW1V3U4eOYCf/TtCg+9MMp0s0LNV9Q9qLkGzzG2zEHadL4Qw75wnkTTxgbeqYFEC9IUC+zUAruXWtbupxAnCTqOGA96vONNS/zgm9vcvTelEXiEUY2FpYBuP7D2Y9/Ky1QLlALXEXT7FcIkpTbaYfeGSyxfCFcd9/1/tf3qmxJj9v+Xcxc3s2ndX1zW8y8U4HHY5d13jb7vhede/I1nnnqkEegOR45P8MphQ9UVVH17k1Nt5YLJZYMAKQyulARK0oprzEU+f/JsjccOdrj1W21+7oNtrt4UsmrUYaSmiGKPKBkAPUlVBm5JqiXayOzniyL9bplbo5TBURrHSfC9BFdFtHoxc62Yf/vFgFOzY7x4aBSjPSYqglWThskRwURDMTHqsnpCsmYiYf1Ul4nRJb7xkuaFV0e5doNgrC6pVyWNqqZWiRBuiO87OMr+fmMgTSW90KHXj0m0oN3TtDuGxZbLpYUGd+zqcPueZT7zzYDKosKRsQWkcUhSjyiW9EKXydGAm7d1uHl7h+funebMnOT3HhpldrnK+QUfT0lqrsDLZZi0gWdB5LlUwTJ5YgSJhlgLwgzQUWogTSCJUSpi7ViXazd3+bkPtrjlak294hDHdZbbPv3Qpx+5hJFHr+/Qi1zCKJOSibUrhTBsX2/Ye5VDFE1y5pzh2JlHJk5f9H5j287blqKod/9fJCb/wgAetV/FDdapJ779ye2dpUONO65usXpkhNlFTauborUVCdoYkoTiQhsyRhcCR2o8JagoQdtx6CR1FqMKDz0/wlOv9qj5fX7iHS02TsRsXtfjjr1tHKGoVx1AlbKSMkvglJgbg5AGJVLC2GBIQCYcPCV5/rDDA8/WOXi2TpRUqTuKqYphvGYYqxrrgzccxkccJkYFa8YT1k31WDu1xGMHQj7xwCrWjjpMNaBRUzRqgno1oeKHPHVU0Y8c3JoFlTGCKJEEjuKGnT2e2T9qC596Kcstl/lln5n5MX7mXTOcn1/gmZencCUgYjSQJE7mMEk6PYexesBoo8btO7vce22Xv/bGOQ6f03z12YBnD1c4erJGIhzCUNGNFUpIhBArAs8sJ2A0iTYYrXFFyogXERBz+40dtq7ts2Ey4aNv71PxFLXAArnZyldVp7B4+5E9wkjRjwY+e5LY2vpWV5GmAa0uzC5qDp1psfrQI407b57e/tM/9lH1+DOH03tu3/1XB+D79h3iwux6b+HIMz+577j410+/MMMH7025YZfP8XM+Sy1Fp6+HEgZCDpbLvP6j8KKlIXAEtUTQTRR9t0JPB3TaCf/qM2OYJGb1VJ89m/pMjCR86E09Nq2KiGOR6W0JJeYm059SaoQUfOHRCq+cqCEchzPTVS7MVAkqihFfMFozNAJNI4B6RTBSVTTqirG6w8QoTI4mrJ7os35Vi9Qs84UnGvQ6NXZsMDSqinpVUq9o6kGC60Z845mAsCtxV4HMwBQnklpF8Y5bezz+kqYTSjq9lFbXYbntcGmhytVb63zo7hYvHqxyZrGOkhqIM73sEqeKMLaJmU7fodnxqFeq1CohV2/oc9uuPudmm5y+uIzjpuw76fD5b1cRSllwr5w/aDRgqzTjOGXzqoQPv6nHZCNl12bD6glIE5cwahAnthsojm08FCX267DkdoU5sPMjljYLHdtOqU7PdludmtYYL+S2ncfZuW7jv3755We6d1y391NnTh2KNm+9+q8GwMPOGUIxs/P48XO/+dt/9JzsaXjnHV2u2+QQJ2MEvsty2xbKd3saKVOE0Ah0ZtWRVQZaveg6Aj8xBI6hngrCNFsytUvouSQG5joNvv2KxpDy5WdjhEjtTTL2JkFmlmS/QAiFEBKpFEnsILWD60jqPmydMtRcTdXXVH2o+oJaRVKvKBpVh5G6ZKwBEyMJU2Mh66bapCzxb/844Mn9q9g2AWPVjL2rknoloVqJqFV7VCpVfCVRMtPgWDkQxy79nqAXprRDSwDtnrYtczWP8zMj3LUn5G//4Az/5vMOZ5d9hNAYE6NTQ5y41qoLXTo9Rb3nUAs8qpWAql8l8GPqlYibdkR4bswtOxI++uYujkqyJJBGCDMsyjNJp1OJkBLfdQCfXuiwsKRIE0WSOjbmSRVJFgNZCaKIMncrim0W2gJb0I8k/UjQ60O3r2l3bYvc3LLm1Lxh946QW3e3abeekKfa9d88fyl6wqS9A38R2Px/DPBP/8GXeOVktVKTBz7gJPvFR9/s8sDzVfYdX+S2nU02rHKBGkoCKIyRxbKYAzHPJCppnQ0nMSQKvFSQpIaKNiRaEKem0IixL4m1JNUOsfZJzcACy19FllKAI4RdHRQEFfvwBCrFd8F3IPAMFV9Q8STViqQaOBbgNcFoXTPeSJgYDVk13mHdqgU+8YDm9x9azcZRxWRd06gp6lVFrQrVSkq9EnNxQXPiok/g2fJbyCv9BP3IYesazZrJPq2+R69vMhaXLLcd6pWAenWUj755lpMXL/Fb96/HkQ4GTapTEm2IEysDepGiF0q6gaTad6j4LhU/pdm2MYbnprhOiuumONI2Skhp0/kiO2zpigAEJqusbOosnsne8xgnD+atLauyd1nYtrYe3eYowjz1H0I3NLS6CcvthMWm5tyCoJmk3Lijzcz8GPc/NkWz/6x4zxuXP/D2e3adePbxz/Zuu+fDry/Al9qphz7xD0N96h/uWndO3v1uQQ/Jy8cTIt1l63orFZK0XtQ5JIlEp3nSJXdV7OGkFoR580GaJyQyKytNBWlWKWe9XFEESiCGAC6z4FUKcKS27V3KOguuEriOsb6xIwh8SeBJKr6iEijqFUm9ahippYzWE8YbIZNjXTatXuDZoyGfeXQdY4HP6rqmURUW3BVJLdDUgoR6NeTZI7DvcJXtUybTvYO0eS9U3LLLsGNTj+cOjNINDb1+SqeXj79wqQYVKsEoP3TPIvuOzvLMoTVgFFqnthw2MSSxKepJeqFDtW+oBIrA0/iei++l+I7GcVJcR+MojVLabsEirTREGESeHMgeQpPFMDo70tT2p1r7VQ7s2DTPPQzyEHlQOcgy59lPTS+0faPnFgRHZ2HDZItdG5t862XFZx6rsHtrJM/NnP3fL1wKvPVr6v8SiF5XgB87esKLk/CnZhenvVdWN3joQJ8Xj3o8d7hB/LsdfvDeDns3LjA56jC35CKlrdhTjsA1EjKZkjN4ktrkTKrFEMC1sR6tNllRf+bh5qxdktsrAD5I6CiZZSwzy8p1bF2L79pmisBXVHxBtSKoVwyNaspILWG0HjIx0mPd1BLPHOnxi7+7mrPnR7lqUjNahUZFUasoagHUgpRKEOO5fZp9g5IKV1lbNH/Zc5PEiUejEtNNNN3Q7s/T7ae0u5JmRVFt+wR+nS1rYv75Tzb5Pz4tefrQagwKbfKS1SSrE7EBXc+XVEJF4El8z+B7Ct/RuK71+x1lLMCVBbfMnBUL8sHLLrBiUMdiRFHPUuQYUpHZirJU1my986TILA+yylobdGqYa2k6Juatty7xQ/e1uHuvwpMRnjtPox4wWTvjddsTf7+y8/3ucrP7T0dHqn/udP6fG+CXZtsYo/+vY/t+6/aHn7g0eenSCK8c1Cx3R+jFgiqCJ16sceBEyO07e7zxGk2ray+EwILNOAIhZMHgShmc1JAWbJ17tDYZkXe455m4PHEzBHAxkCYiB7ewv08pa5c5WSua60h8T+K5isC3IxkqvqEWaOrVlEY1ZqQeMd7osW5qmWcOd/k/PjXJkbPjbB63Dku9IqlVpWXviqEapFSDmDiN+K/frCOVwpUGJQY2oTYW4Enq8qNvW+LBFyLakU83A3inp2h3FE3fIfB8fLfBro0J/+JjC/zCpwTfObAabSSptmn1ONHEcVZCHNhyV98XBK7A92xm03NMkbF1lEYq+5mkNAgJEpsfKKU8i+ub5xKK1bJIoonBqqptBrl4T4Utckvs/TPYrqx61WH7xoQfv3mZW3cmTNQbhKHHno2Kq1Ypljses4s+X3lkJnj66APvq1WDX9i/7wWuvf7mv1yAz148gUHfcfL04lu2rJUkicf0bMxSO6UX2tLVfgxhEnDunMfT2mFqXOMoexWVFGCkte+EIZX2CU+VBbjWJmMNiq+NyetJBvaWWfG5coBLAUKK7CYO2Ntx8roTietKW7/hCQLfzjyp+im1igV3oxYx2ugxNdrk2cNdfvF3xjl4ZpINY4KJWkmaBA61wNavVIKEih/huiEXFsZwlUBJndlygyDTaljF2jFDksS04oBeaOiHml4/pd2XVLqKwHPx3ADXGWH3hoR/8dfn+MefhGdeXZVJBZ2l1dOMyTWhrwkiSd9ThQRzXXAdK9FsnYrBkRnAc6AznAzKr23B5HkQWmRARUY+oqjSTLM6Fwv2vFTC/kzXEVQDhz3bKmxbNUGvazjRlJnjYjuHFpuKC7OGo2d7dMJXd//oh7//N8Io+XO3Af25AP6L//4r/NqXkurP3P1fvDVjXZLYI04MruNRb6a0uwm9vu34MAZcR+EoSZLapdrKBqtJhRYoY9DKDBVF5YVRqQGjTYm1jXW0uAK4GTB3XiUopSjAraSdtT2QJxC44HuaSmCo+FY/VysxjWrEaK3H5FiTF471+YXfHmP/mSnWjSqmapqRiqAeSKqBoloRVAL7cNhUf8QzhwSdvkegyNLl9nzzFSfVgjhxqAWKO/a2efZgg25sZUovTOn2FG1f4XsKz/Uy/TzK1Rs1v/xTs/yD/wzfObSKWEtirYuRGnkPZuhJfE8XNfP5OTsqP2xAn6fxpSTLR1z5nhsz0OblVVRrCiIq5GR+mMHXYK+BoyCOFWcu1nEdW7AcJ4JuX9LqCOabCTPzMcsdWDjWdH/1k39yze//h7uq8cLvd92Jj/y/D/B+6zh+fcPov/3tL/2nf/FfuWf7qiU++lZJ4I8DNZRy8D1Jr2/LLo0xKGmXSQsykTkqNmpXuZbO2dqYQcVbKds59J5f8TKyEcPgzoqMVAFwUFnFoOtgGydcTeBlBVZ+SiWTF/VKyEi9x1i9xcvHQ37ht8fYd3oVa0YdpqqakQrUAkGtoqhWFNWCvVMCP6Fe7fPYPo/lZsDY2CBNnj+UWmfd76li1YTizdd3eOx5TS8S9CNdArkkcCWB6+A6Ho5TQUrN1RsNv/RTs/yD/2z4zpFVxNohzisAU1MwuR/LorrQcySOkxVhSRsD5fci/3zFQ8jlaf1ixVxxDMVDZhjU+f0r/5Q4FbR7gihRKCmzvICg2ze0OgmzSxGnZzQL/YQffus891zfv+fgizOf7NZ/4m++cPCe5Zv3bv5/F+Bnzs3guov/YJV3+ofrScg3n5lCOfN86O5lVo15xIlACssacWyDwlxzK2V1sCwleXJNOrhgogCz1X6lQLIsSQqLUQzdECHzCrqB7s4rBh2Frc9wDK5rG4sDTxN4KZUgoRrE1IKQerXP+EiTF4+G/MP/PMnLJ1ezatRlVTVlpGoycGfsHUgqvmX/wE+o+hGJDmlHPkJJ3JzBCw0usrgis9lil5rXt+UCUcBYDvJ+StezDO57EtdxcJ18A1rDNVsMH/+bM/xv/1HzncOribVDmAqiVGcsLghije8a2yDi6Gz1yogmW9Hs9RGFpJNisArm17XMJ68N9BIJ5eAu/XcC0HLwcIeRzaZqk7kr/ZRWN2F+2dBOYj78lmXedUuN518N+M6hhR++7959J+I4/sf/rXj9bwL4iVNnGJvYsPnJb33i2hOnLjE15nODhO+8NMH6sR7XbUmp+JoktewQuTYwKSr4Sje6zGh5A4IugdhoUQK1KDF3iVOEWCFLBsutzLKiSmUJJMfgKgtszzFF9WDgpplujqkEIWONLiO1Ns8cSvhHn5jkpZOrmRpxmKqkjASGegbuSmDtxBzcFT8l8BIatYhDpw2PvljDkxJX6Wz5H/BhHjjHqSLRDvfdFLP9qg4nzlaYqlL0lvbDlG4/Y2FH4TguSposaWTYuxl++afn+cf/WfPEwSn6cYUwlUSJoZq1kvkuFuROvnrpTKJIpEqLFU5JUQK4GLpHed2KyO9XdvlNKfdgdA7oARmR5yWKwN+urCK/HtmDESd2Zks/1PQiuGtvxD17auw7Ns5y2xCl07z88nPX/q2f+tjmpYXzZ8YmNvzFA3xu9iKNxsiW/fuf+7Xx6uz7btrZ4cylEVod2LpOUXF8On3LkoFntZybZqWqQyeZKwpTXDCMGGaGoQs4zB75K69wvgzcwiBVbgtaMDgqY23H4Dka19X4rsb3EgIvIfAjqkHI+EiXpXaXxw/AL//BGl45PslkBu7RiqFeEdQCUXjl1nnRlr09C/CKHxKlKf1eQKDsQyZzwOSPZma52UDTsVreCQkjQy8WJYDb6VGe6+C6EkcplHQLgCPguq2CX/6bS/yrP0z4zuEJppsN+jXJaGqoJ3bagJ8dbiHRTGYXUgL4gMGLz5t96MJcyWOI/P7kCaKcubPv69LNKt97MqemKNvNYqwksSBPtaEWQNit8chzHu2uodXVnJjuc/XVC+978YXn0x27rv07F6ZnT69ft+ovFuCnzpzC8yq3nTt34ANLMwfZvUWzdV2PueUaC03fdsMnFmCea10DR4sh1yMHeIHM4kLowUUrA3pFFFl2akVxsfJxD3lG1GTyJLMdlWVux9G4jrZjJty0ALfvZeAe7zC31OOX/muV+5+eYr4zxtSIZCrIwB1Y3V3NAsuKL6n6JmNwq70DPwIiHnnZYyn2mPAZqsfO7mkhxdLUNj80fIc33djlmSMR7dhnJNaEkR3W44W2Vt1zLMAdZVDSRUiboMHA7o2Sf/NzLb76TI9/+TurOT8/Rm/UYdQT1BNNNQE/tqOXPWUHGrl5oClFEQTn74NVtvRgrtDk+a0r7tGKTPLwajt8yynJntwlS7LGC1fB7KLg4kLCfFsw10qpViPOnDvAwcOTHxgZ9f5rp9s7/WfF7Z8J4O12l1qtsuObjzz185/56kFOTvts22AHVl63pc22DXWmZ0fphgoj7Q+VgiwpIwrXo3xyonT25YsxsKau9EkGgm4gTfKEBUXiokj5SwtsR1lwu06K56Z4bkLgxfheTL3Sw3G6PLYv5ZNfa/DAk6uIdINVDcFkYGWJtQBzn1xlh8iYu8zeMY4T8tSro3Qjh7VVkz1wKxk8t9ZsDUfgKm6/ukeiLcB7saCfuyGRXbpdJ7c4VQZEm30U2YM/OSr44Td2qPvT/M7Xejz+6gSX4grdQNJIDDXHWJA7WRyiTBaXmAzkGTFk8UtejyWziy2uAPAVd2XA7oMvhlfdUsOFvQ6l7qJ0ELD2QsP5pZQ1qzu87dqIm3dEbFkF7d7LkFz989df94aXorB3zPMr/88B/vhLZ/naNx6hWm+sO3365L0iCqmIBkdPVjl0wvDM2j4//X09osSmdnNfFWUukxh/+ksMXazL/5bSxTaZlmMoI6ekzgCeNzSkuEoXtRi+G+N5MYEbUa328bwuf/CQw6/8l1WcmBvH9QPW1AXjfkrDN9R8qGUd9hXfZjuDLCFk61fSbCWw8mS+ldKJPDyl8LKHTRZrfOai5IFm1oEUJS4Vt8+a0R7L3Tq9WGTj1uxq6LppZvOpzIlSxXUeBK628vF9d3e4Zc8cv/x7fX7/G1MsJjW6vkvNlTQcW4PjO+ApimYIJ4tTipUveyDzcXDl5FkhDocslhVkdQXwiyv8i7IszX+MENblWjsV89PvNWxe5aF1jU7P58K0oXb8yL2YaF2z2T5m9BGE3PX/DOBaazbsunPL0tyBT7j6JW7f63BuRrGwnNINDY7yef7gOBtXK6pBmhX26yJr99onevnLXOEfrlQ0ItPuouTbDpjboKSdWVgwt8rrMBI810oS3wvx3R6nZxJ+66s1vvTEBCdnxmhUXcYDGPNT6r7JUu85uGUGblkkhYJMe/uefXAatZAvPuVw7EyFQAmbMcwD64GSHUp/p6kkThx2b4b33NLmk1+foFN1aMSGfmzwoyxuUBrHkYUTNQC5W7qAdlXYNCn5Rx/pcu3W8/znB8Y5eWmExaRC13WoKUHVMVScTK4ogZu5TKp4IEv+eClAzFfM8v34rvfySgT1Gvc7f1iVhLG6ZP3qBt3OCMd6gk4oWVgWnLoQcmD6FX5+5+ZP3HT7Te/UaetPlSrfFeCdXko1kDz65EsbDr5ydNszz7fYtbnG5jUOo3VFktoL1KiCkDobWGmyzN0gmMwv/uBMr3D6ZogShjVfcZFNcWHzQqEBew9qLGw7WgZsldjOHTfB90M8J6SdRvzm5zx+56truLAwilYVxkcU455hxNNUM+auFul7mdWpZNIk884LcHs2exnGEcfO+3QinzE/c3EKX54i0VNO9iSpJI4dGjWHrRsilN+nHdXpeYJKNp/Ey+SVm0kUJ3c9hHqN4FUxNdLlZ97X5QP3XeJ3vtrit74wwXyvRs8JCBxF1RFUlCHIi88y5nZkOW4YjJ6QwnCZUXAFIvrzvApwC4FwrHRpdwyvnlQ4ynb+NzuGdVNdNq6NmT13elvNG9+wccuNp42OEdJ9zZ/9XQGehOdInerUprXmc48u7Hdv291grCEJvIR6zaZlpTD4rraDZ1yrdQuAFxHzn1mjFCecA30gS0whTaTI6idKAFcyq5JTOptbmOKoFM+NCbwIz41o9iOeekXyBw81+MITE/TTOp7nMeEJRj1NzTNUfUPVG4A78CW+L/EzaWITQ5kzkQHcc23m89RFw+MvVIliF79mLgsw89dwPYckihWu6/DmW9p85lsdjpyv0QvszJHQNXgJuLHGjTRKSetbS5tvKIb75ADPPXYtqfoOq0d7/G8/1OXqTSG//1Cd5w+NMNer0VcerusQOIKKBF8ZPGnT904mVaTISh1KLlWZZArZIq7MWYMb+qeAm4FBoI3AYEi13QzLtjjauTb9sMJiq8aZi/vdH5i4+XNOben6Xrcz992w9F0BPjK6Si7N7L/t+OGvj3jBPDs2CdaMK5LUpdd3SFKbiRKyFNBlZZh5nfF3fbJXArn0/YE0sVdO5gAXpfJaYYrifWsHpqjs8BwrRxwnptmJefKA4He/3uChF0dYbNaRlYB6RTHqGhqepuoaqp6h4pGxtmXuii/tLhGeIPDIKvR0Bm5tVwYvQTkhR8/DhWZgEyuZvr2i70/eB5kVKWlJFDmsbgh2bOyx/2xCN3YJsxnfXoT18FWaSZQ8UQNyRWdO/vDkNmSc2vrwD7+5x9tvXeLhl9p8+hsNnj/UYKFdpSk9Op6DpwSeFPgSvKyryhGDGEJKg8RaiPn9Gerv/C44/m5yprwiSGmIsx01epF9wGyptaETSWKdsnqiy3YV86UHHxq598633LZn566v812GB31XgM9Mn/ebTec/PvBwWHtsX4U1azq8/65l3nWroNuv0e56FuQMPmCuiy0wzZ+q1YYDlhLQh4KbHNy6+Nk5sG0TsWVtJVO83M2QMXPthMdecPjak3Xuf3yE2VYNEQS4dZeGAyOu7eSpuGSyAyqeyA6ZlZxmutsT+Dl75wB3EjwvIfAijIl55EWfMxcrTI4LXKmLmhspVtz8vDovLz1NFb3QZfNqwZtv7PKlpyM6sUsvFgSuwUssi4dxLsNSq8EzXYyQQzLFHqVGBW399oof8uE39njrLQt8+Yk2X32yymOv1JltVukJj57n4LgKRwhcKQeMLsApxTt5ZWS+MA0ky59Nn6+89/nPkCUpJ7MYLtKCZk/SjhPefvsS778rZt1olUOn5mvjNf5ja3n6aqD33wzwVtcQR/0fOX3gy6N7Ny+RRFUe3e/x77/oIp1LvOfWPoFfI4zcYvwwORiHzuBP02crL4optPuAsXPfW2fMPQxux0nxnJggiOmHKUcuwOlpxR99c4SvP99gdqkGboDTcKkqSd011B1NxTVUXAhcC+7AtTMJbZmpLB0i+3uTgVwXIPdc2552Ylqz/5QPrmuDtpKDIsoUzsA9yJ0U66bYcc7XbA3Zs6HD4QtVeoGgmgj82BAqMmtPZ+yduym5BTnQKoXPnlmRWqts+oBLP3KpVEJ+/B0h771jmQdf6PDZb1U5PR1w+EKVaNkn8R36joNU0qbzAUdKW3YsDApK0sUyu8gC6St75lfWL2Ll/5f+O43t3OrEoHXIe++Y4+c/kCL1FI++OMoLR1pMrj/A6Mh3twpfE+DNZlPEcfS3Dx4+PErUZ7Tuc8NWxaOvNPj1z/a5dvsFrt2U0OoEpKnKxjTkLsF/e8hRzm6W2T93ZCx75yDXODLF9+0k1SRNubQA3/y2w4nzFR59tsKFpQonpmvg+6iqQ+Aoao6h5miq2Txx37GD432XDMT5IbNDZQAn09wZuN0U37XsbR+siFNzcOh0FVcO24OyzHZDiZ5BjbUte1UkicuezT12rOpy4GRCN3Gpx4LQAS+xY6FVCeBSCoSUQ0wOwwVQhQxKZdFLGacuoevRqET86NtC7r62xYWlFo8853HynM+DL1aZXghIey5aOsSeQkiVOSlyUMxGnmgbyBVZYvYBuF8bD6YE8ly+5V3+iTZE3Zhbr5rn7354iZFgPY88P8ZSG+r1hIsXDk+++d4f//lO69zHa42NV3yKXhPgf/iFr6FTzaljTRxZZ2pMcfVWQSy7LPV7NNsJQS3EdUKiyEFrVSyHBpF9cjE4AfPaoeYgaBm0Tw2kiS6CSCmtvnb9lCg1nDon2H9S8c1nqxw45fHqqYBWGBBGPrgequHgK0lVQdXRVEo+sO/kdRp52aytC/czWeJ5Cs+T2QNgBtrbTW1m0bU6P/BijI6YWZSExsdxsqVdMEiYDBN4AfLUiKF+xyhxEThMjUdI1acTu3SzBmwvHhSMOUoPZSBluVMhH3aEwGg5YPI0bzOTuKkqxk90+x5rxiI2rY656aqQXtTjJ041OXDa45vPBOw/FXDybECcKIyfV8rl7/lRcHcB+BJtvSasB1/pDB+2xtYYbTM/UYqI+4w1OpybNcwvGl49maCkYvvaAB31a2dPPvPDjlIffy0cXxHgv//ZB0mTluo3D4q7rwsJPEGt0mOkHvHBt8xw/1NNfvUP63zh2ynvuDXivut7Wd23oN4QkLG50Vn/pSGrN7nyCYu8ksfelszHNgipQWqSyNDtW+fk9HnJH37TpxMp9r0acPycz3zHI0w9cDxQLqqh8KWgosisMOw4M5UVHinL2p4rbNKjDG5X4mWyxPfA98hcE5sydx2N5yZZRjSmEkTMLqV88zt1mm2fsRE730VmmcEc5Jfd4qxSctAGJglDxeSE4u139Hnw+R5nmzV6rrQyxQE3Mbhx7llnHrtMrV1IedaJLH6HNs5wq1kq8VJF6igSV2Vj8NzMSo2pejF3X5Nw+9Uh77+3z9Fzkn2HXHqR4ve/WeXUJReEpNt3SCPHglhKjGOXK1Pm76Gn+goANwaRZMsNBkxKpZrgegmYlDff3ucdt/TYsiHioedH+MK3K0xWNONVneUiIrrJCfGWe69RJw49mGy7+u1/NoBLCdJt/OaDLy9e94ZrL7EcKfRyQi2IuLQc8+mvjvLqmSqOEnzhsYip0RijU27cEfLhN/dIU0OaGKZGUm64NqUa5E0Kf0qaR1hHptUV7HvJbjFdCRTPHnb5yhMB/VjRjx0uznhoFLFx0cIFx0H4Do6UdnCQtP5uoDL7SxlbA+5YcNspsqI0TL8MbpX1aIqCvT1X43l5gVZasLfn2WlP335J8aWn6yjPwZcm85SHKyevxOC5Fz5o3lX0+y7vvbPH/U+1+P1HRugkAbVMh7u5Do/zmps852ClQ+7Z2V8lS1p/GOBJKkkcy+SuY0dBOElKHLs4KqWr7CD9sSDhjl0Jt++KQYR86I1d+rEd5/YnT/g896pHJRDMtxT7Dvi0ujJTSYLXjDTzkR7GtgZef1PEqtGUNBt1/eE397l+e4zWMDViSxCUgg2ruyRmhguLNRq+rScXqWbvVn3d+Oidv6k1P/NnYvCl5TajI7XGNx/8yq5VNU/9wddWcXYhZbmbgDbERtEzDlQkMTDT0cy0EjAJR88nfOUx+/SZRDMylnDbdRH1ILVdHeXB3Cs4PH/ipYTljuL5/R6tpkI6ktBIQu1gUNny6IBUCOUgpcQVwoJZGnyp8WQJzHIwo8+CXAwaHhzbCJA3HpfBbRk+K6t1cwZPS0eC78QYE3Fh3iMKA/wRiZelvVXZFchZrVSNl6fXByCXpFoRxS5jdcXGyQhP9OklPr1EUHFsMVteQ5IntJQsZxll8bvs75BZ8keXhuDrIvhMi/EPaZYUU1mJQ0KcpKg4HzNhj/WT1qkSQnP1pj6R6SIdaDYFz+93WO5mrYjfjcuy26+1oRYYbrsuYWTUYBIBWuIKhcDLJK+i21NoI9g4rvnfP9LD0CNJHZZaNU5fGOPkdF25jd6ud77rfY1+v9kKguG5hpcB/OyFOc5fXPr42QvH3rh7c4c49qi5MbNNl3Zkn94k67+LNIRaEWmXWENqNE2dWP3kaFrNlIuP6cF6XKTxymtW+Wm3Xxsh0HlBNxLbLSwRQoGQtvJN2Jl7vrQJipw53axE1cuA4GbsXXTSK7Kt9yjAbdu67JYovifwHIoSU8vgGYs7Gi9L+7tujO/HnJvX/N6DNXA8XCkGAWYhT8RlDF6umsyHhFqw2fFzUezy0bf3+PJjPV6dqdNJXaqJ3ZTWVgGaQSeOyuOUkv7NNXm+UmhZKvDKD23dm0TiOAo3TYmVxlEpjnJQyibKpMxsydy5ktaSlVKjhEZozWRV8+43aBB6IDWLzM9w7YU1IISVrEaQJj5pKNFGobWkn9oVJdX5rElFksV3Omvz6/Zc5pYqHDrt8/LRNm710BvDzg0fT9Lkb/2pDP7Hf/JNQHq91gl2rlumFowz0bCF+93I2H1bSrOiI20nT/VTiLQiNDIb85D3VOoBcxcMfsVuyuFqKgYRex61Wz8WvBzMwhSWnB35ljfVDgqJ3FJpqK2Fzppws+6WAcBlIVt8zxQtbZ6nS4NzEtyMvT0nRsqIM5cEc60A4Tj4kiF5IgenUpxl2SnQpbEMA/mgiBKXiUbI5jU9Dl8K6aUO/RT8VOCmBjfJdHhCYZsOanXUEGEUNdpGFjuv6UIWCVJH42hNmkqUo3GUxJEapZTNLeTZYWHssCClSzatKYwAkZsDRUrfDKc3c4cNUXj15HNXtCreC1CnKhsqpIgSJ5uYZec8dvsOzbZDt6+JREQSn+HI/m94qb4833MZwKPONELApRmHYyfr1HxDvaLwHEEtMvQiTT809GKbZQsTQ5QIKtnkqUgLO1vaSBIDiVGFbZX3UhYllSWAi3JPJQOAOGQAFqZIOOSpZEcM0spOxtxOCeT5iAhH2c2lHGcwD8WCW9p3Lwd6Hnxm4M67fxxdSBTXsfrU82ISYr76VIWZuQruiMLLpYk0ww7KyhV7qNVrxbyRVNEP7QTbd72hw1Ov9GklAV3HoZJoImUfapVlSQdFUTnQ8t+UB5qDjnhrHWYzVXJppG3dfqIETiqzjvtsQJBURQnEwMnSRQY5L1UeBjklu9fWiIuCubOHLnN5bCm1zArPSpKpAHY26zBSdhpvqOj27RSvKBasm4JtG33i1OHF/ReuqIiGAP7c049Sq1bu+pMHn7iFpI2YzJ4sIIpsI2ynl9J1NE7fFMkMR4KTGhIp8PIpVLk9ZbAHg5MqL1lDHC5saJQnESRZhZvINW32dTHrJF+q7X7y+dJdBnYxB0Vh+xGvBPA84Mx1t5PLEpPp7eFacs+N8dyIS03Ni8cr4Hg4mTzJ0/PDlXjDp2tZbNCzmHemF1nHVBHHLjduD5kY7dFcqtJNFFUFbmLPRaXGHnEZ4FneoPhFcrjlzwiMNpbNtUArq8ddLUiVJFXaAj37WmUlEDKbhKVyUOfsLQcAHxoDByWJUn6wRRF/DE3O0rJwkmzW1c47tBO77LbrnZ6i3VO0e4Juz+4RZIwg1T5KarZt9W7ZtutNdz304L1Pvu3tb7kywNdOLqJU6913Xbt8w+ylZcK4QjeU9ENJpydpdWW2bXSCybtwSpNhYwlOPrTH2N12hwf1DFrTVkjSYlxBfqPy7JgsgVuKwQQsOQTwMouXBvxIgSokygDYefOtZe9MczsUeju3BC1jD8DtZvrbcWIEMQ884fPUgTrSd/CksPO3iwrCcoHScNYuP+fyaDStc0/cBle9vssde3u85+42v/VAnSj16aSSIDWEyWC1KlYMoRFSFomxwa96LSYH7Uh7jzKpUgZ3ImUx4q0AeVEiYS4DuChnni9boYcfbrKVi8sAPmgCyQHeDx06fUWzo1hqS5ptTauT0g1TwkjTC2Gpk3CmxQ2m0Xp3HCdPXpHBz527QLVaf/vjT3z9Iy/sO89tu+fYsalCs1NjueOz3HZZaDoI4WRbyRkSxxQzL/LGAycfAlMasVawB2Y4viwzeMk6tRWDJalS0rRSDlh8MJJtAGzb7CAyqZKxeNYN46phcNtxCiuYO+vZ9LL2NtfJGw6S0hETEfPZRxqkxkcV2ctygDnoa8ydjSENjt2N2BRzRaQFWpoHmw4Clw+/qct//WrIso7ppQG9VOAmFCwupUEmoiQbpA32hl6yZE2KEsgFqWNn0CRa4CpNqowFujS2cjHbklCl0gJcDYrpVC5L8pT9UKWhuSyHmZ93McW2eOjkZTZmweDZAM9uX7DUSplbillqpix3DYtdwXI/Ze1Um6vWnGLLqqs/ctcb3v7oD7774oOTU2uHAd4JE3DC7WcuJtseeVpw/5PjvOeuBf7me5eIoypLrToz83WSJGBhWeT+vgWTySv+MtbWNktnhgBuhjuyy0KlFIRdrsPNcLd8mcWzFqsC2Pmcj0yWKLVi2E0GbEeJgZNS2IG24942JpuMuQcBplNib9+NePG45Nh0gFEuSko8qXGyWo2BRBkIcHH5nS6YLE+pD/xqC/I4cdm2LmbPVR2ePlohVh69RBBIcFODkwhbG5JtCSOTTAsjEegV4BIlFhclaWTfnSwOUNrgpBboSpvsIRIDJk8HlZxCyKKTShRDPAcl0kOFdMU9L8mlYohQeRScKCbXpmnJSk1hqZlyajrlwjIsdA1G9/jr37fA992hmJl1qTrtbUnS3g69By9j8OXleXq9CmvGW1y13vD4gRqf/KrLC8dbbJnq8RPvugRum4uLk8wsBkUS3gJOZFIlqwKTFPtRDtrWxHC3dRngJRYvUvQM1yGXJzDlVXo5yJ38a1Vm8sGYNidjbkdlzJ0N/7HjzEzRaZ6Pk8ibk90M3J5jEzuuY90TQ8znH6mysFBB+K51dUQp8FtZg0LpZEsWYT4sp1zHXQRa2gZYk+OCH3xzmxePNwjTgK7yqKRWizulmMSCO18rdOaJmxKbS/IRyYPgtjwez46ycDSkUqG0xtGmlFDKg+fhJpO8Ln9QWpGB+7vk9LQeWIZlgJuirCCP3+y/cxzD2smUZhTyysUewg/5u+9vsnkSbtzhEMdVnpmWtESHq3bO0ev1L5cov/ZbnyVOFVevv4QWEaMVjxHtcvTYBC8fNnz12RRhYMJXrKkn+N6ghy5PNmhpkNlNU2XtndH2lWYJlu/9cOnksI4tj3tTJSaXBWuLkjwZ7H2pMmDnDO452QAgN986MEsKOQbXzSVJdjjp0OEo27nz6hn43EN1QumhpMzsweGZLCszmCvvd7m5eliHZ1o8kymkLj/4tj6/+/Uur5ysECuXrpR4qc7sUWFZtXj4DUKKomDN/hKd/a7hfYtMickLcOssWNfW7i2XHQxGLlNicQZanJzJ/5Q8T3nQE4N55CZf+bPPYYy9poGrCfyUd23s84NvaiGExndrRJHPUtNDa/AqIQsLL3Hp5BF64QBljj3xw8Cu6id+59e3HjzYJRAJ12yGXj8bIxZBP7J2n+/aD5nqEgCltTylERhRmiFYssPym/ndAD6kwwtwl2qESyBSImft4bEH5alNjpMDPdPeagW48/R9DmylM0bPwa0zeZJkR4xyI45dcGhHHignkydmRXnscAXhZS5KOS5Z6YVn3ThpCeQ1V7BrfZ9XjkWk2qenPYJU4EqrlWUmVQoWLwI9TR5kDnoCxCDDmeXfHCOySWICJwO8kqA0pFIOjeIoA1yUphnksdNwB/7ldztfQcqrSZnJV046y3+HAHphgDYuWgv6mWXYDRW9viDNJg8cPL1l69t+5OerT7/yd7p3XLfFAnx+5hKu23zbfbdU/sGEM8el+RFmFys0O5peX9OPNN1+Sj8yw8DOb1wJwPngl4IlGGbwK512YRxeYVLVMIMPxrKV53gU+ltl8wjVgLXLuxi7iswLt+C2AB4MBSoY3FnB3nlfpxex2Nb8+z+us9ALMnkySO4MWtSGPf3Xeg1N8SrmM+YMbh2VJHFoVB1+9oNtHn6xwULoEUmHnpR4RQ9l+eEyWVYhB5suymgNOgO3xiBXOCsCJ5tRUoy803lcY4NLO+LtcoDnBkNZYuZEtfJ8B2UEK85/5YM/RHqGJBV0ei7LbY9+KGn3LLC7IbQ6mpnlmHOLEW9749Q/OPLCgSc7nd6XCwZ/4fmT+L7HsRNzPPOSnQS7fpVg/SqHODb0IsNSM2FuKaYXmsLWs/PsLl93LxtvbIaf3Nei8JWsN5Aq4ooAL+YPytKgzRKoLcgzy7BI1+eaWxdBZSFLcmCrNJulMmBvV8V4XsQfPeJy8EQFpIuUEl+WfHsxrMHzk3nNasLSTS3P3s5BnmjbcpYkLtds6/K+u1v87tcDtOPTkx6+FIOkTw4+mWvhYSYXpsTkK/zoIuhUoIxdFbQWpEWnvcjYfCDBpB6APd8lr5An+bzIy9i7DPSyVBrEaeW/F2TyRwrQdsB+t6+YWZQsNe1uEXGq8V24bjvsjDQVc4nzp4+SxCEFwGfbdWTPR6gae7ZUENJltJZSDawPKqTmhaNw8qJAURopoMrtWPkXZiiQyufX5SB/zSCzFIEPFdELkWk8MWDHYkDNIKDMmdsOlMz0d56yLwBeAnc+q9DRWb/j5cztKMvermOnVi01NX/y7TrzTR8Cd4U8eW2JwlCN9AoiyILvwrYrd+JkEiVOHMYaiu97Y5f7n+qz0PGJlEMvlZk9mbspYsh1GpIJGWvn39IFmw/mfitjdbjO4xmTDcyUkEqRBZuDBykH9WDFMkMys3x/C14zZiBNCstw8L3yfyEEyBJQpDTUqzFHzhr2Hc8Sf9JQ9WUmV1zuvFWwfT10e1mA2lw4RmN0bMtzz73wt2fMMd5y7UWiuG7HaDkpnhvxwjF4eP8ocTdgTcOUwFTyewcfqzgjw/CSk6fpS6pmqDj+NSWKlIUez2foqSzolEX7lv3aySam2oq7AcBdJx9ZVpYlZc09OBynnNRJcJTNXJ46LTh6JkDjI6RjN1jNSwfKUqp4MEvTUMQAbgPZlhdDiUKeGF1qgsg2gEpSB4zD7s0R29b2WThcwaSeZfFUFH2TqrDsyJpGyoVexrJ39jd2q8WMzU3JJ5fZSiIzG1EJ0lKXvZbDgbQsPVSDUW9mcJPLCBdlli7XydirNDQROx/JpyxBetnw/qmxHm+8dZFnTlTZd6SG59g6KW00y6GmwzSbNl39t3fvufflF/YdPe0sLKdESbim2Ynf/tgr8xy5COgmOvM7hSP40uMNjp/z2DZpAVrM2y7mcwyeWLMC3IMndJjBryhRilVdlKZWZRKlGAyZrxwDWVKAPEvwDLYqyYGegTtn67LuLoM7q6DL2TuvqHOcBKUSvvp0jWPzFfAG8qTsnogV7J2XRr/Wq7wVizbl1HWpPiUvo40crpqMeNcdXZ57tQraI0mtFnfTbMhnOiyVCqlyGa1AIVWGAjwL4PxdK/v5pASdSUJtjN20oFQDg1gxdvnP6qKUV/liZc8/bxZfGYFRtoHbc+112rFB8HM/sMCXn2ghla1Bz/MHI94S1Ur09orfX2PS5LSz0AIt4Pys4FtP14n0GK2+ppfYi+IpiUKyeQwagSnqNmxWcMUkUkpy5DKZwtATWqTrS1diAA4xpMHtKiEK90TkkiQDu50VkmcxKYHcFNrbTrm6HNj5gCCn+FpnIE+sPFExlWrI00ckX/52jV7fg6qDIwWuKAWX4vIAs2x7vtbNHkq8rLAMy754nDiM1B3ef1+frz/V5dkjHqbm0Et9PGFtykHNjhjKMA7T6eDdqHxFyZjdCIyyHVhKZp8lO7+cuXVGNKm0Sa1ilSoHmisl2RXOubyyr5wqTOn+WzdHAhoVS9pdj4tzo+xY4/K/fijEdRMwEMYunZ7HwpJg/ZSkXjF2hZ2oRwR+yK6NCe+42eHwGY+LCwndyP5yV2KH4fh2H8nAs2WltursChIlY4RcjhQ+uBlm95V53GEfvATwfE6eFEM6PJdJxRzwDNSDgfeD4ZK5/nZWHivZOw8wnYy9nQTPi4ijlK9/p8qrZ6vgugipMlCZYiB9MaLtNaoIhxyVleULmUy5zAtfYRdGkcPVmxLe8YYO+05XCBOPVLr0tMJLs2uQ5kAbBJm2jFVAmjssuVQZfBZyWWJsU3MRAEqBUVYLS50BXeSgF0htSmQkvvtDvcJ8GB6in+NmAA0hsuRdClrLwm1KkgrdvkfFT3BVikHQC10uzPq8cCihF0hULaXT0Tj3f+UBpHTod5s4SrFqHKIIxoz94Hk1nt2pq7QVSWbJDRXzD33wbMu/Ujm4XmkTZpmiIRBkDF5uFsgDyxzYl1mEimEGz8Gd9XYOAG0y1jYl9s6K/PN9JAsXxWpv34s4cEbw4FNVuj0Pai5SiKGZIcU8vyENzhXYrKzDMzbNPOhhNyXX43KoACuKXer1iHfcGXL/Y332nfTB8ehriVfS4jId/jyk5aDPkFeKGICCxcEp8hcSI7EMn32mvO5HmnxysAV8cY+KB9v8GQA+XPiVtwzoIRa3l0sm9j47iSBKDGFi9xht9TSe4xW9qakWzCxaY+HsyRdYnjtKkqY4jeocIBmp9OlFXU7PuHjSZaQySHUPXIl8MydRMOrlCYwc1Ha3NCMzDZ4VXxWMMXhOh576QbBSAnfO4HLA4IU0KIO7xNxKDQM7H4Kfv6tsMKeb1T47RTeL1duOE+O6MYlJeeDJCo8fqEBgW+U8KfCEuTywZMVR/sOV7rdhhYQTxW7k2uSOSnmAjyLsu9x7TZd33dXl4JmAJHExUtETDm5aCnY1iHTA4nFpyTSDKu0h2YACBdZxyZNQSiCNQGpR6HAls59fKoLTunzvLpef+flCuUShtE2kyc+7tMpnPyIPaoud8pTJaorsEH/HgZFqylUbljg1q3nhkGCkukSqDc6nv6UAidAOad+j7jpMjTtUA1u3kcuQfB+XQjKsCCzLTbR2tzS7fOmiZFYg802JhjKaKzY+Kmn6Ikov/e68HFWuYG4pTeGc5MxdBnm+P6Rl6Xxaa87eA3A7ufetYjw35uXTks89Ugc8630L29jg5PagGDgXKwfHDwxUUeLuFS4TJebOKwuNRBuNTgVaDWRKkrVzGePw4Tf1+OZ3+jx/wk4SiIWimwpbE1M8cAOpYq/vFWyNFRWexljmVqWHT6pMlpTiBCWy7PVlKxZDAC//tpVb1eSFXoOd2cp4MUUpCORGw8o6pLygDvohrJ+q8rZbulQqPaq+sgB/42574nGsiMIKrqOySjtZBE7D8mHwwcsabrAbcWkz0KI9ylDeIW14XnhpGlLuf5dKTa9Yg6KGS2XzfXhycJeBrfIdHlQpqFQDkKuSRMkHdjoqwXUT4jTh0Wcr7D9esZVZ0gaXXmYNDhWDCS7bxGmYvAdfmdK1GyTBzPDSPaTJZVZOa7V4GLns3dbn3tssi/dSFyMUofDoaVBa2CpAkdepWGdCpANglx+4QZ5iWB/LDGjSWJKxJJVpcyGQxhoU5aRfeSXOz3plgqe8E9tg099sf9RUF1tH6qH/UKxIBooCl0oJ5pXg4lyAUi6VqovrKowBZ+u6hFQLGpWIehCz3K5kOwzrFXUCg6DoMi2VZZlSnW/nbE84SQVJdpI5O9nPOhxhDvzvFVsBrrDgys28xR48Q/vxUID6SsHk4Hvl8cqloLLQ3rZq8NhFwae/XieMXai6IBVu3vsphudpDzknWRwxpFcu0yfDDD5UdamHt9AedMHnWtyh5kt+7B1dHni8xpEL9uFLtaKnFW5qUIhBsJkFlyWoMWhtGwRGlr0Hga/KHjpVMGouV7IyWW2Br7NyXaEvZ/LLJBkDKZKDOk0NSWL3+kxK3yuXWpcfkPxn5PUz+Z9TDfNtzcZ1kjWTiijWOHfd95HV8zOv/pPmzCOsmeiwbqoFxqXd8+iFtrPCerF5zW45SLA3I8m2c873Jo/i4eL+oWXZDIO7sIQYdk2GiqvEANQDgJsrMHi+W0EpuJQZsKUZMLeTTaLN54hLnfneSQHwyCR88ZEaLx/LtLdwUEJm7G2KVrqcucpszhDQv8trSIMPGhFMSabkGtzq8FyTO0R9jxt39Pjgmzr8+h949LQL2iHWkp6wpbRSZwxOKaOap9NTU3RY5R9mcL8Gn02teLfOSqbRM19cStu8USS4XkumlACemgFzx0m2HXliiBNDktixbSv32xyWNYYktTsqdyNJM4QEQ6o10u1zz+03/pMbrtn1086rpw+N9jvT73zhpXmePFBl6/o+77m9yS07HZK0QrfnEcYOSZKN/sqbRMsjCFJBkgqiWNKPbYpDG1u/oG0+ASOtBh8edJ9fgJW+94ABhjzmou5imLWtPagH2waqEridEmPnzbQqLbT4gLnzADPGdSKOTks+83AVpAPCsnfeub8yuCwOGHpYB9KLwTdLMchQMqwgjuGtssvzC7XJZIqyetxoxQ+9ucuXHq1y6LwHUqFTRV84uMLKFJUDLs0tQ0s9l8UEWMYus63KVuwC5AwY1Ujbpa+kKLSyyVP32YUoX4ey2iimemVGRJLmOzRrwtgQxyaTuHnzzKA5I00h0RZv/USwHAr6OuW2q5d5zx0dtq/TfPt5UHLTOxeX0lGnKlpcWkx4+dUJTBTw8iHDoy93+RvvmeFj7+rSqFbp9HzC2CVObLdzWs60FYkIST+WiL6y8ytSgUj+lMyWGA5YL6sB/1PALXPWLrF4IVEKFs9A7QzAPXjPMpZOkoHbgjxVCV95ssahYwPtLYW03nfRQTPc1T5kcQ6BPA80h4i79HW2xFLarrysv0s9izpVpDItJsZGkcPV20Pee1eHE5/xibQC6ZJoRU9kibC0nEYf/nrwCURJAuSxQCZTECBztjdFsGmMznT5YKdkk10DbYbT92UyoyQ58q+1tqzdDw290G6+FaeD4NO6SfneohClkm4Cy6HAEX1+8vtm+Kl3JLTbk7S7PtdfFRG7ioWmxhmr+Vy11ud9d3tEiU+7G/Ol5z1+5Q9GEWKOj33/ApN+hV4YEEYuSZINZVmRkEgSST9yUNIjjgXdPDNWmvcjEBgxuKBlpv7u4C5vkpSN8FXZ91VJMhS7hpWZ2xSbwKohOzCXJfn0pkx7uzEnLyr+wxcb9KUFdxFclndAKJjbDDsJssTa302dlBNg5RgnB/VlDcl5l4vMpj45JKmLnyb8/97f4Y8frXJi2gEZAYpIuPRFVpSWgsQgS2nwFbx6BSYv2Yhl9s5S+Sp7IKXMtPmKANuIPPFjCtkmVqze+QNgDESJodM3tHqGfiyIU6z0zdyl1NhxJP1E0EmgH8eMyTYf+8Asf/+vdXj5yHq++sQknS4st/vsvcZnctLDSZKYZjekrRe5bluTih9zqil55eQoH/9shf2n5/mZ9y5z2+6QXr9CnLikqSxqJ/KTM1oSJgpvqcpyu04YO8Sx/ZCDB9ZcJkdWfn0Za+dZwiHWHmzymu+HWWjxHNTl92w6k3VJBky+MrB0nYhWpPmt+xtcmPVBuSBdhMiCy5L3nVuVV7LHhiat/ik6fCBVhkdJlAuwBtZhyRNPFam09eIbVoX81Pva/PKnPZqxrTDTWtIXCoWd5z1gbQu6y12elbFR5rAYG7AaMjmSF1KRg33gtJn8mmDlms5+ou0Sze5/luMgu4YgSV1DqlNmmjDflvQTaZ0UmcmS7Ig0xFojoz537JnnZ97b5O23ALrKiyciHj7YpOoJtq/tUK+nKEfhjNQUx/oun/yTGikGJX1S7bNx3KEfe3zp0QoHjvv8p793gdv2RIR9D5DFU2kwzC4KEgQJkkPnxzlyopI5/yudkQG7DckSeWXWHrSlDVi8vIOxUpe/O+VAM5/KpNJMo68EtmXuIrj0Y77wgM8nPt8g1K5t3BSOHRMncv2db6VdekC5/DyHlubXgPjKTqfhTp882CxbhQKdyoE3njF54CT8zIc6HD3j8TtfcUHGgCIRkh52IpjUA7tQ6sGDaFaEmUV9SPbnvN/WTqLK3nPJYoxN5WdsLsqAL5XSIo0FeeFpDzbnEq6gVhFMjYdQbbJ0SOJKiU4EM0tOUX1oP3AKUcSte5f49Z9bZtuaOjOLI0Sx4q3Xx7z5hnmUNLQ7LvsvuSx0PJxmRxBGglFP4TkerrIzQpSyWuisLzl/scrvPlhh9/Ylam7M0bMOp6YVQkIqFJ/7VpXZJZ9E+ExfqjPpa3ZtiKgGqmj2VVkUVtanZXDnQBai1LyrBnM/bNYya7JVK9g7lyn5DgjZfkHqsuAyn9iUZhObBplL141ZXII/frjKUuha7S1chJRZcGmKtHx5ENFQUEzpKDN3Cd9lIBcgXylTjMmY+3I/PK8T11LbKVXaIUkdRryUD7yly5eerLLQVvbiaUUsXHpa2BqVLLgUaTnQLOvxEpMPmfWDIRDldyNKD0gRVGfSRpL19lsfvRxw57mMfJxerQK7txjec3eXc/NdpIyYXYYvPByQZmXUpy46HDujqAUJP/HOJTaudjg5PcnFuRHCWOLIQethkvbxXEFdaZyL8zWiqM/eTR6VwMUpCqjs6b+h3mZ0chYtY/71pxvEkcPTR3xePBqAstm9Ts/HxaMeSDaOaeqBph+lOMrOFyyKkYqle6BXh1g6A3PZEszBbudzUOhtWWJsteLrAaDzPW3sjhDD+jux35NZYqca8cC3Kzy7v4ouaW8psqbibO5HedexlTLrstT8CrvscnkyPCsmZ8WihFYP92zmf04zLzr3xZPUxdEJt++NeM+tXX7vqx6oGITCCEkfhVNaTWW5ra14Aq8A8iFuzyPEnMmthMj/e5NtZWK1SQb87J4XK1T+rzNScLJ57VVf0+05jNXHuWWHQ6PWRcqQd9/WzbLKKS8dlzxzWBElguNnXP75JxuMVms0/ACMGMhYBdK4rNnkMjkqcYRSjI8qbt4jEcIZLCHK7sO+a3PCzXtCjs6H/NDfXc3BIyNQ98D1cHHwEEw1oOEZRr2EkYrBzfRLnnrNkwRD4BYrwP1aerssT5TJAsx82lIZ3LokS7JAU5ZY2ynLkyT72tqCvhtx4qzi0w/UuNR27X7XssTeYsDesiRPLk9RixVafPh1GcYvY++yJ162DCVaGtJsfp/Sw1pcSrv9yep6yo+/p8OT+31OzEgQdty0FpJe1mKmBEWwmdeK5xLru4G8mCgpsoCzVHqbS5Xiv89a2nRJrwvFZRjI77UB4kSy1PJIdZ1qx6XiR1T9CEGMFDF37Y140x0h+4/CD/+91Ry8uJpbtzvsWhcR+IO+BIB+qHnDSEoQpDjnFg1VFXP11ia+GwyYA6j4CZOjXXohPPFMhbPzdZio47ouFUdQU4aqY4+Kax+Iim8L08sJD8oAYPjkBsN8TLF0lfV3EUAW8znMZRJlWHObkhVYkia5/i7mXWfSxIsJU81/+qMGj79YtZU70mpvUViDpbIAMZBNQ0BnGNhiBcJXgtswzGoD6TKw6ArLcOVQoBLI8xR+Ih1U7HDvTRE//eEWv/ifPMJEkm8zkuDSF5keH6pRyYLO9LszeaFWZMlhMbkcEVmV1DDIbR7fIPIMdukhLj/cWkMU210jhLB1THHs0A89u/W6m9B1Iyqhz4aJLnfe1ufkg5pLLRCkVFz7wCVZbBHriDd6PdZNdXCmFwxTVcO1q3uMNhaI0wTPdXGEh1KaidEWR85HfOJra2inI9SqLiPOYM8b3xls5hR4EHiDaVIqqzjMt9cYsgHLRxncpb0Zy0CWRVp+JbhXMHfmnkg5cFAKF6UEbkclKBnjeQkPPu/ypcerhJELFeucIGUxqtnJV5eVVmahs8VlwWYOl9w1uoI+Kd6Hi//NUKCpSwFn2VlJjchml0iklihtJ2FVqykfuLfHQ4/3+ObzaiBVkETC+uP2cw73Tw4+Ylm6DEBuLvvwAiMNZHq+0N4rQC6MyLqAsutWOqe80CpOBFEiUZECYQk2SRS+q4g9By9O8DyHNHUYqcPH3hny7MEFDp+ZYjn28ZTBk32qXkSYuPhSMN6I2TAV4bz1+oh2O+KhlzT7jo9zZibgp7//Ih+6Z55uX/OlJyT/4StreOXkKkZrDmOeoeraLUL8fHCOKm0J4mYAd4b7NnNAlCXJkDuiSl8Lk5XB/nnArYsUvCrZgUOHTJHSBpbLHcMDT1Y4cjGw0kSU2FtSVA5aa/ByDV6AvQBNvmRdUZS8Bs4HNT6DkRuDhIsFsy1XHXjjNsEmpQV3mmqktMmfXWsi3nN3h2cP+zRDBSIGYV2YvpBIsmrA7DcP2toGIDcrQO6sOJeiuzZbBYzKKq9WgDxfyHT2T7WxRVrF1OFUkGR7gAohCwWRZOPbokTjuQq/SDJK9mwR/OrPLvKJByK+8twky13JB+/u8VPvdjg32+XpgylHpwOWkjGcNEm5MCN54oUJJusVbtqkGHUngQ7/8X7Fv//MWpYZYSxQjPqGmmsIXJ0Nzcm2BFH5GDSB7wjcclOEkkVzxEpZIkuau5wwGYB9AG5npUQp9Hc+eSkf91ve0lsXbkm+UWzO4q6ToEn5Lw9U+MQXGxjhgLLaG5Gxdz4aLX8wV6w4l3Xw5OxYYu4/rbNlUB+f/3kA7hzMQ8mf3DJMDVrmSR+N1AqpbTmtUik/8/4ux6ddPvElRZxmUgVJKlxCYR8YIfKmhVIxljWuEUKQ5tFhemWQl5nbILIU57BcKYg9+31aGLTI9gcVkIjM1IgzKWSkrUhNBXEi8RJNlGQTZ7OS4VRLbtih+LW/02L7H6X82mfW02lPcOCoT6NmuO/aNtQVOODUq7BzI3zkrQLHMYzWe6ye6PPCMcWXn52kLcZYU4GxwG537bvWRnSdwTCdXJK4DjiOzGYA5nNJ5GAo5lAlYPkopeCVGQb3FfS3U/o3Ochz5pbycuZ2hhh8IE2OX5R86bEanY4L1Yy9pUJIOeR7rwwoy3NPLqueK33/z/IaqiikVFB0WYazlOnM2TzX4HkCKFVI4RDHKfVayvvv6/L1Jyocv5h7sLa5Msahn8nkQmLlTK7L+6RlIM2yNqKkyYuXHDB34cxkmlyULEiRgT0tXZskl3PC6pkibZ8KktTgOla6uLEkclWxy0OcKOLYYbTu8M5bezz4QocTl3y+/ETCaF0SJx633AJrVmucKJFEaUzfzGAin7Qb842XNV99fjUz86NsHoERX1PJNkMttv8ohswPZgC65aE7Tr5bwGCEw1BrmRzIkDK4hwF9Zc9bSlM4JGVwD2RLWrD30D4zGZM7TkIYax56tsrDL1XsEytWsHfue+fSRA7LEwqgD2vsIsAsf+O1wF1O9KwANIVEsXKhYG9ZdliyQqxU2bndWmWbTDnE/ZQ33xDxltt7nPuaS6hVweJGCCJttwJXehB0DsqYh+VKLl/S4pG8MsiHuvelQJhco8NgIGj+cwQiHc4LaJ2XXEOSCGJn0L0TxZrIkYSRHYrfj+w+n1tXO/zGzy/ztecjnjtUx/cFaRgzMgaTEx7OvfeuXb7/q92v/9vPTX7/fDMlSqsYbGfPVaOamm93Bc619WAc8WBcWjHwsvRnpfIBPIMu93z3BVmAmxXgLtuEK8BdOgbgXgn+FcmcHNDSet5KWltQeTGPP+/zK58aITVOyTlRA+0tGOrYKWdYL3NPuEK6vsRUYsVDUDgSJZAXwWbhhecJn6wiM59XMpTZ1PZdaHQqSYUNOKW2+1/6fso//MkWR847PPacQnuiYHEtBKGWqFLzw8AbH9iHOcjNFQLPofORppBXReBJHlXmT/pgVqIdI7fCDs0qBZWEWIFKRFbmTDZfMpvf7ih8z6Hb82j3fMYbFX7yLT1+8m0LRLGk2alxtFX/+kzvqmXleus7SwvLJ6ZGnJ9ebgvqrsvmccG6McNYDRpVQS0QVANJxbdHkO8p6eb722Rztx052EUh2xOnmE8i8w1ML29SGDD3FdLwl6XlV7C1GjC1UitKYrPvKSfJdHeM68ScXxL8yqdHePKlmp0mqjyQPii7U0NFGvzsM7vZ8KChvs/ia1H6ft6rmrfWlea2XHasqG8vHh4xZJmWSxhEaajP0MBLMfh6eJSaBd/kRIzvaJ59xWO5J0v1Erb8yiCKAae5ZLHx8UCkXLYqlbi9lNMayBoBmEHbXvlBGSSNLl+9bB8q6Kz8Ok1FURprew2sZIljSRgr+pGi23dptn2a7SpxXGV+KeDlY6u4dKH146Z14IgzNdGlGsBSz1DxYOukpBqscD+yG1geuFP0SObZsawLvrhxJcekCBoFpSbhUvr9u/ncQ0HlANw2uCwFkjL/+zwNr5FZxtKyeYxSMamf8un7G3z52zVMoDLXxNZ72255ilnfqgSYXKpcVtp7JQa/YqLnSqmf8k1nKPgs++IrJYnWDKSKtlsuaqOL5I9IFVJopHZIuykfeGOfV0+2+fgnHSIpgVyuCJJCj4tBPXtu6+UaOgsSh6XLa8iVfAUoafOBb57/Cz3U0JxLEyllMbxIZPJvYEJk2FPluE0NWcq1imZipMVyL+bMQojvapwLc4HVXzrl7r2awFMY8iHkNtgp38CVXRv5w77yJpdT72WmGspQFuDWRW13MWQ9Pwqw6xL49eWsroatQUcOJ3UcaVn8m897fOprNfppVm8i3QzkNmtZdOysdE7Eymuw4pzJA6lsM9YrUt+Kpd2UwTw8PsLorFqPQeBZBJlysCtEKgRCZ6l7oZCpsU6F1qRaI4SD72p+8l0dvrPP45svWea2nyvT40YhdXZeurSVbK4qSuyc6/FBPG1Kf7vyPIffTW4pmsG0hYIk5cCbL/dbFrkFcsdqUJabX0O756cN1wO3Qn1EsHOdxhiD4/sx/ViwZX3I9Vt6tLsBS22fxaZLt2/rcg0CkTtCIq+gyE5pULs+4KShZZNsWOagzkSKsq89SM0PsXgJwPnGR0MMLsvVgWUHpWQJqgQpE5RMcNyEbgj/8rdHOHnBx7hOUW+CVCgh8PN9N0tsPTTv7woe+BUrCEW+fIvLefsK16v8vUKHQ1GXMmBwU2J1acsgpLQNutpYLS4Hs1REagGeRJqr1kX80481+c7f92n3c29TZnUjghA5SOHnyal0Zc1KLjhMFijmnzsLUvXKk8r9/WyVyoqzpMk69DOJLoSBNKsff41rU36CyuBOUkM/1Cy2NUsdWOjCPddrdm2yG1Q5F1trcJTDE4eX+ZOnT/Pu22e5fmsF15lgqe2QJIOhiOUfnF/wvOJtePTW4N/m43yHPOQhQJcHq+fMWZYpJflRMPxAggwDfcDaUqXIDOiuExOnmt/4Qp2XDgfW8x46RFZzYodpDlcMDvv0OasMzQBfUYPyXV85oZVBzUotWg44wZQcFf1ah5ZoaXdNE0IitEQK66poqdDG4cbdMT/7Ay1+7Y8kUSpA2JEhCIE2Ln0tCkALYUW5yD1tYazJkgeMuXTJvpfmMySuAHKyjKeUeT2LZfE8sznA7kCq5Q9zeYREuTSsDPDljuFiO+G6nS0+dmPEqomNBP4oWic4P/qB76PRqPHci/v5/Bdn+epjo5ybNty4Haq+Bj9PBGSEnYHbNozKbEREubxzmMmLZbxUXyLEMHMPsXY50CxLETVI5jhD2luXvp8WOrzsmjiVhG894/M7n2/Q7LmDjKV0QFqf3hOmmCmSF30VLC6GpUpe1D/kf5fPueyJl+/IClIqCGHIoMgtwpJMyfbTMUKgReaiCIERMmPu/PvSypM8ASQ0QitE6iKEoRFo/saHOrxw0OOhpxVUYwamvSSVDqGxYyeKLUlWFmZJm17PMziZhV0kg14T5GIwIlkIk7W3CftAlv91Bu5ipETWupbqQTNIfknz6+468K7bFDfuGKXb02za/BY2brmWsN/G2bDawQ9cbtxpWL495NxMBU+4dHqa8UZC4NnCpVwf5cN9klRmpruNbNMk67ovimlyX7W8tOc2YGn5LzG5zHR5vu9jrsFlOZBUds9GOZS1zFhb6iEGVypBuQmHTzv8h881OL7o2ashB0deUFXYgnms8N0kyRXAPaQdr8TYpb95LZY3VzrM8IopswIsI0uZzawB2LL4/7+99w6z7KqufX9r7Xxype7qnNVqdSsiIbWQCAZENrIBg811AF9fG+drnm3s+5wDYD+DwQQnguEzGJOEhAATlLMEit1qpZY6qHPFk8/ee633x9rpnCoRbECY9/b3lU7VqVbVObvGnnvMMeccUxWAbiUXgDZttQObTWMhb3p1iwPHbR49ItCOMIaDSSSPtEVPFd/LcOFHJG2wJElonJLVdIRnBOQZ6RBpD7n52Tqju/k5yqfmzdBxGGvCCDNpH5vSfmramla8PUdQL0vigcu+J0L2HWjhrbCor/RYXAyxU/+TfhjxxLE+J+fhnC1QK8fUKn3KfojnxvhubDq9Ykm3b9EPbXp9m27PRgrNQFjI5GpLE6a8JaOoPgzveRni4Mvq3iqnMIWobY9E72JCaXh3iOeFHG8a3v2568qGd1uF6J2V5Ml9BouKSbGlYAjsYinYCxGc4vcoXgiJVlyI3kUgk5lxiiHKorNbdkpJcm4+VABShSgutFFUhEQKmezd1Dgy5pXP6bLYE/zu31qcWBDgy4xqaGAgLYQyOJbC5F/mReQcfPhyLXJ0smqmKPxM0y8uEoDrgrlCRjiSPhRDO8LIrIrvDjTdgaAbCToDIxtKIHBNfabiGpy0ujFb1sZ0wgjPS+osDtidno/tlo6fmq99ZfXk1heevXmBlRNdJhtdJhsdykEXpUOOz5qry/dg3Zik1w84OVdGa7MYKJ2UFiIpTBRffgYMjSwmb1mzlR4CcR65iyBXBWkw2bw71DylEkpiqIljRwxQXH1riWvuKqFloaAjHRBGFnSEmdZxCoBOp8SX6/kuFniMrDZsNTcUob8FIc+oykgb6SgfVxojp+m09TRRU4TOI3mcAFtJ4nR3fCxRwqgrQhguHkUOnq15wfl9Xra7zb/+hxkiwE7fkdHGB6NJ55JoXvjb6uGPNJILRBbtzaPOzpMWheheuMhVQkvCGHoDzVxHcmxB0I1iqrUQv6RQSnBw1kYqm5InmepCs684Pmtx5rb1rB5zvzJe9Y7bqot9+vbN3Hjtxw+UveA9l1zgv7DXfIBySSOtkFsf1AgZM9OUfPFmnzCSrF4Rc9FZA3asXWS6run2Hbp9Oy8uSKOdFu3ZxBDAi01Ww5KglaolxRXSWcNVgZIMcfACHUnAbdshkYj4/I0+f/WhKk/OJA00wsk0byEljsCY2It8Wt+Whdcncjr1zTz48ihuErxvA9tLUL48LVlawk+rnEoLROJ6JUY4uPk6AXxsmWgu7MQbRRH2bdaOD/jdNzZZ7FlceVMlachKkJf8/H7mZJU7IQihs9bAFMzDXisJmDV501UB5AKdKHKFApBIZ0GL27HNdP1ML2b96iZnrG+z+6we61dEDCLBVTcHzC86xNJi34GAk12Y60Ss2bCBU/O991z5xWsOvO41rzE7eg4dV9hOzMxJzd0POCxENgu9mD37fdNDpizmF2yEFvi+5rp7I7as7vFLLxtQCywGkczMX9KrvOgQkCkqqXxYAPdQ5BZFv+3RyJ32gxQ5dzpMnEuDljR75Z+YkXzoijIP7/ehbCZbctXEQgoKxqX1+wAASzxJREFURR2W1b1HB6ONsCAyha3YbJWiupj8FLnrN8d3IqMVdXEYoiopLZGFmc3ULzBNOmORrE3RKSfXxFKbRFPoJJKbHfPhQLF9U8jPvbLFXQ+4HDiVvNEkioMgxqKPSEYN02as5Fyo/G+d9ZaQ38VFUqHPInrK28UwTtKTUFycIAQ4liDwBGdNxbzpR7tsXSWoVXxKnjk7O9dqlO6CDLl/f5NWx+fUnMvYeJ9q0MWVhSVUO07fRbnkc9sdGt86xp6jEffutxj3JWXHTOisXJXSC4nAZdDyuO0+wfb1DmXf8Oe0wFMoWuUgpwBuoQt0JTfSGebgKqErI2rJUIIZFyJ4Er2tkLkWvPtjVW64J4DASgYY0jlLCyFEklimHt95M9Uw9y7KhMtRlXTQIX/M79sjV/dy4B5ptsqeK0TrJZP2ClTye1PuLRJdXKaJpiChKRqhdPK5RAgrieqaCIXoaJ5zTp9fe32TP/+gZL6bJ5upHBhiJW21ZtFVdsdKQZ3IhUIb7xKSKmgayYXK+Xhxa2fh5jV0LsAEGtcWjNUk2zaWKdkOswsxswu5nJwOGAfegEt3trnvUZtTJ1ewY8tWVq/fRTjo5gDftH4l9bGVXz306JffXruo/7vd23tE7SqTZY3nml+qkpKmY4HnCiqBmcLv9sF14kyjLsq8uhDGiys1hj0HC5FcFKN3XqEc6uu2hqO1lRRyUkmwbyn+4XMVPvCZKq20WlnUvKXEkWT7dYZ1bz3keZ2/5qUUpXjlLqewmD/+tyYqo81WQxwchhPQJJKLzIraRG8pcuoikmguRJ5sCqFRIqUqMgG7TRRpyq7iF368xYk5yd/9q0VXFRIMLUELQiXpJVE7jdRCpGA2X8cZ8AvKCkm0T16bJKv5LLmL6UL0toTpWwpcSdi3efBxh2pZ4bvGETjP8wS+FzNWC9h3sM2dj8TE3sm3v+W5p3/10KETOcAb49N86J9/u+M64on7Hw2Yn3E5e5NDrWyu3k4vpj8wp9uxJZ4rqQQW9arAc9WQo6u5GNLNWSPvpMjFC8WdofXQhWgtZSG6j6omQxM6RjURTsyDjzn821fLNEPb8O40qUw0b1uAJ8g1b7m0x2QJTSH93jKmRYUgXdS+v91+8CyCkwoZCRCGqpYpsMnArQqyYVayTxwMlC70eCTPx0IjSKlKAithqErFD3nd8zt85Tafex8RpoUkT6PR2PSTlNPsZ0uN9dOvWTbZHP1IgSzE0uitCm0hYNS4QaiYb0Zo7dDpWwSuNPEK6Pah09NIYVOvuDTKPpee7TDbPf7En//VH3X+4Hf/NAc4wEUX/ySu51Ou3MKYdx9T45JyMEApxYNPOMw3LQNux3CjUgDVkqISxARejOuaTVimuiTQcT5LWPTdyJOy5BaaJXUFDj6UdCpkSkMK/SWZ5p3arnkRD+y3+eW3jfHAYz7atYYjtzDUxBFmSt5JdW8x3PxlFaL3qNd3Ctw0jczALQpRm+W18vTfLZtEQlbgGa5yiizEG/6d5m5JBE+itTnvicVZ8stMEiczQJvHnI8LYTTyGBvR1+zaHPG+353jF94qjB+6G2UJJ0qgRSHpTCO3yC86ocwqKyXIonqKh6waW7jqc3Ewra3oRGIGEafrblQG9l5oAO65ZrBmrq3Yd7CHUJqSZ1P2JRc+8yxe+vLddHs9lgDcL43j+yV6sY+w2kxOhNy6J2JmMcBVgsALqJQEgS/MUipfUQ5iyn6E7xm3VgGEsUQPLKI4Hy5Nr/gM4EVNvBjNC6V4OyvsjE7rFKN2jJQhjhPR1vD3V5a5d59PbBejtuHdSNPn7UmzfSvj3Nm8ZbF9VS+TbIolgM3kQdKKX+Evt8zxzYJ6UUVRScSTKgVMUhxJnXpFqonrwlBvqnIY1zFDT0zCKRQZVYkTcAuhiZOul1ho7FhzzvYBv/SjLd7yLptWmNzmSE6AEqgk6bQQuYnQaFRPk9Ck+pqW4/XozVzkCrpKQNwPjTwoMF6FUQSxihNdXDHwLHzPolKSTDQUl041WWh2uen+GluCPtOTsGKqQa/XyX5PBvB+LAks57FDs3L/Z2+1N6tbJFJVaAQOW1bb1CuCahnKvtmAXPJjykFEyQsJ/BDfjZBS0x+4HJ8t0Y4FUZQonTK3ACPLoPUwyIUuUBCdRe6hZNNKv87L8K4b0VWaD11Z4VPXVOhbue2DkQVN9E6piZtIvrYsRPBRQCfdjmJED8+TTcFykmHWZFUUi78tjkLOvbPnBMMT9joHfhKtZQL6WOR3jnQluFDC8O2EZBjurQvATtxNEv4gYlMLePVzO+w7YPGhK2u0M5DnklGkLHopHUmiuCQp7au8yij08F2niG9ROJ8pzNs9OLEo6UQSS5rB9rKr6Ue5rXJ/oAhChVJmAcDW1VVqmy0u2dVmrKZYtSHcXwqsx1w7/21W+sl73v1Odpz7nP21cmWKfu/ZdavH9nU+W9c4rJyUjNegXompVaLkY0C93KNe7TJRb1EqLTLT6vONRxx6vQrdnkOUjisJkd3y0wKPnbbCFj/kUps12047A9OBhqLdWkQn1Hzw6hJ/+YE6J+a9vAVWulkrrJQC3wI/TSxlYq9cHF7I1qKMONmmvfBDTgDJ1re0Tzn9Ov08uwDSfvl8aVe+lmXkApFLE9m0PTQbbJbFO4lehgbpJRQpr6rqwucjuzwLF2O9qjhv54BmR7J3v22asmQBmUKgskGJXDZNmoTzIthIILCS85NPdhnnBTcZUvc9wfSqNifafY4swmLfItZWvuokLpTvQ0Wrqzkx63BiLmBx0aNc3cLUim3vnZ858M+Tqy9aGsEBWhHo2Pniji3hK3Rfn71qvE+9nDjxK4ElNZ4bE3ghJb9PvdKl0Why6/2KK24qc2i2xJEjZS7ZIVk9JSh5At8zVTVLCNMjiTBVthGKUmyRldZI5TKrWkYFs8wQ24u48toSb/1AnePzbsH2IY/cUgo8iWmFFYXV2wXbiuUSy2W18KeQCYvUi+LjN+EmejSsLauejEbxhMsq05FnInrKh01ElYl8KITMvqeEzO6YaZuridzW0tfZ10zXQ/7PGxeYbUo+9sWks8wSSc+Kuf+GSHopVRFkwxIyjepJf3kWxUeapCwLHFviuwLftVmzUvOsswccOrXAkXnFZ26scNt9YyxUXSYDQc1TlEKN19PMS02kFFGsqJY1a6YiZNC/94WXRV9sLfaGzrNV/OJLn/1X3vDjk4dKXu8CpTvnrlt5kpv29Ni0usmqCYXjKMqBAfb05CLtfpOPXWvxjs9O8uU7pmgtVlhVtSh7AtexkyHkvPfbzNfl85NmVjNVYYa9TWw5PH42umLEDUIeO2rztg/XuOehUrLirxC5E+s1V5rIXdwrn0dvPTKClkiYVqHos0z0Tp8XxeckCCmTTsM0qotCk34ewZ+qDSC3oBBLo3iCwuI0/9AANHmkXtIjI5Z+L832hz5PfodWUK8rAj/mtvsc5hZkgpT8H2phorgQhUmgQlQfDQ7Fc+kkg+muI/A9s8F5qiGolix2rBc8a2efsza1KLltHjkiOD7nEQoLFAwiONkWuEGbZ509xwMHNFPjFmHsfuErNxx678t/9DeGAD4UwQHWrtmKJSU3fn0v/3RVhYNHXVrtiJ96QUTJG1Ap9fDcJg8eGvCeK2t84bYptArYNAkrKorxKti2aYOMMsPIQoWr0I+ydHonHtK8ZWLQk0duA3LXC9l/1OYP31/num+UwB8t5pguwafk3aNjdcndxBI8xR+GoT08w2X6kSSzEMG/SQAfjuYMKymjvSi51CayfZS6mICSVA0TtGd0JSnjCyWMSysylzHTBBPMD09cwNNDduG55w740zct8AfvFzx+XBgfjUIRKJY2/eSuIZWJ5ukacZkkyen+HkUh0czOr8jupINIMLPgYskqnb7FpukWv/v6JudsO8Z7r+yy98gEg8hjwtdYtuZFF1g8a2fApmnN0cUKleppaK2WnNslAN+0/aVYljXYu7/H9tUPs37Co1aSzCy0WT89T62yyKdvVLzz36Z5YmaMsmuzsqYYKynqJTOc7Nq5GeJyktlwKV5ndMROk0srTuYpi4WdfHflgZOSP/qHGp/6WoWBdMBOKUkCcGFm9TxJYSuDzsGdvYallUo5xIVHdW8TrZbrBy+qKoxcAE8F8ryIs5x0WOwsHO7VkEuAn18AIllelY2eidQ6TyZ93HnSmTrUC2GZknv2mjVhrPEczauf3yPWC/zB+wQHT4rCGzH/MsQ2QE3AbXzIjeeJTKiKJVNngEKnZOEcGG9CQbtrMe+4IIzh6FjV5mW7WzzjjFP81b8N+Pj10wS2x5Y6zM+WueHrmlY35PTT1/HSl7xwEMcRv/Pr3wLgtjdJUCn9zrk7V+6w1d3Pue5uwZY1PpUgouS3+MxNmj//6DQn5seYqsJEEFMLNJVAUAkEJU/iuVbiTbh0xtJa8jjcPJVZGsu8kJNvYIg4dErwlvfW+cw1RXAXorewsAT4Im+ksoXOK5YFGXBoDYkcBvdQ9B69UJckaaOgHg3dTxHDk16kESr+zRuuSKN40o8iCmBPXapU4X6SFHqEUkl0T/XxHMzxkM6R/jAYhOBoeO0LutgSfu89YxycSVGTqCsi8VhJlJS0xVYKnYE8Tsr8sU737pg8QqmkbSDS9AeCTk9iW8Y/SylBGFnUQps1YzZ/9PomSh/nC7evotlzODUPm9Z0ONZ28Rvrr1+zZvXvELeXnGJr9Im//qu/5OLdlw4WO8HF9+5ZPGftmJLbN/RYPXWKa+8P+ZOPTrPQbLC6DlMlRa2kqSbgLvsWQfLhe8KYcToa1wU39bRIegjyTcMjq7TTNSP28HoR2wk5sQC/974an/pqlYHlZCtGct5tWmD9gt5d3KszJA0mykle6Mk/Ul49pI0PfS2GuHe+n8bw7uLKcTGiqhTXmiw7vLys3i5yCVJmuC0UoAyQGPpZo30yKTdY5prLfn5Cf9JOP8OYsNGcvnXAignFbfe5tDqy8MsN0FM+bmX5QM7DJQX5VYikLJEqKsJM00uRnR9IZ04lkTIuVo2q5KIdbQ6cVOw7HOAIgWP57No8Fp9/1ravnjj2xKen157+rQEO8Nqf/FmEan9xy6rZV64cPzEd6Tk+e0vMP39pilazxvqGYqKsqJdFAm5J2bcoBRYl30r8U8D3NL4LnqPwXJUB3E0Ws5pVfvEym4bzddp2stZPe4p3f7LCP/x7nb5tJ+B2k4/UrN4oJr7UxrRekvWbZJ4sYtjbRBZoi2UV5KyhxDKVAEeSzvTfpTKgXArkonS4LIBHqU7ha0b+7RCAU8gOAX04uRy+gRQAzzIJJ8OK0KgkZGvN6dv6tFpw6zdcU87PMliJFpIYMQxuGHrfudeLGLpLps+RgTu3io5iSRRb9PoujYrN+ds6BKUeB09JTs6BlmP3bVjTuLxW8dT7/uEjS7C8hKIAXP6K53Nw34fiKJrSn/vKHj5xfcBjhydYUbU4fUVsKpmuwPdM6dR3JJ5n4SemQL4Lnms4nOsoHEfjWIXInUZvGQ9F71TvNl4mplJp2xHSUXzpVp9PfKVsCjlWMWqPgjt1hM2dqYpjaMuV40epyFJpcDnteiRCjoK1EBlHI+bQErP0eV14foSiqIRf56aciTyY9HAIkU7dFKlKyslT2ZCs2pnRi8IFIGBoUj59UcXnHQmvfUGHu/Y5fPm2iim9J5P5ADEOXfLdPAJMD7rIV4rnPUgiV65ClQUBdHEkUtLrmwmyds+h3XVpVAN+8cVNnrtrnqturlCdWq+vv78b/9mbL18OyssDHGB89fPodHqfePz4wdMW5+bL562Hik/iYkXubOUYNyvXMX0qnmfGiYIM4BrXiRNqEmcfadR2smgdFaRAY9LjOCG2G3H1rT6/83djPPhE4iNYkAKXglsnEzrDmnc2wZ8mkiO9J/mHWBbcQi4F83IjbBRu70NRdJljiG+Lpf0pqduTKFQxhx9TACfROCnlqwTk+W+XCKGyr0VSws/WoH1TmWf4mzs3hrzj1xf5bSn4wi1l80Kd/N+G2HQYtp8QhW3L6fCyoS1pv4/KfouhJZIwEnQH4NoWfk/iORauYwo7R05WWbuiyWW7N3LmhS/Gslz+7M3Lv/qnBHiltlH/yyc+9+7t23b+8sEDt5a3rXXwHE2ra96I6xhQW5kJp5nn9V2N52p817Q3em6M5yhcJ8J1zDCCAXlkgF4At50tZDXe3Y4bceXNPr//vjEePBAYmzVZ1LutIVriSnJwywK4CzbIo8Wd4TXc+TDDcgnnUPSWJPw6vYuLocidRvPirX8I3ElXHUVwi0K0FqO94Gk7rNlYJgT5c2mfeDaIUPTjJiurk6yFEumEsDR9KssWokYe02PQh9PXh7z9V+aRQvP5myrm/88STwixaS+5RRWH05LvieRFGmgnikqy+XiQG7m6jgG6ENDuKjxH0myX2HH29oVapfIey/Y1T3E8JcABztl5FoPeApPW7dRKc3z9kTKdgU+tbKqUrpPHISHAsUzE9l2N76lsWNlzI7wM3EYNySN4Upm0I5xC5LaciKtu9vn99zXY83gKbmcI3NYy4M4HGAqtsENcurCesEBPlnexGvY+kUP8cSmnhuFIPloGXw7kisRWm2VAnkz5qMSmQSR6stB5dCe1O05u7ylVQY3w8mSkRhSi+tAIwkhlNf3UBiIjkw+BfOfGkL/85QU0cPXNFfM/2PkPCnFoUzQSJamHiOwxu7rJQa6UJo5UduKEMBXPwLOoVQSdQZvr7tdsOlHn/EtPW1C9Ix9vrNjylOf4mwJ8/do1/cXZhV/SG6c+effeQ+Wv7wvYtgqmGppGJcJxdLJbRaKU2TJswB2bCO5F+Bm4oyxyFxWSfClUaCK3bcD9xdt83vLeMfYeeGpw+xJ8S+eDw4W5yiK4iwMNWSNVAdyyGJULVOWpS/VLJ3lGW2uL9PtbcIDhaJ61xJrnCr47uUyYdQ+aduM0sqf/XqgUyomyktY/hEjK7YWRmwTkxdYBrZOuiuQYKegbZt6DnRtC3v4rCygFX7y1suRthti0tCRKLpJIk0uFKfApbHArnI9YKbp9M13v2FAv25QDh/NOVxxZXKQxeVp7pmn/0qaNa/rf7Nx+U4B3uyfU+NTGO2ebL1289d7j5fWTNhtXazau6jE11qYUdHnyRIXHDo2ZEqytcV2F78WUvNiA2w3x3GhJ5C4WcLKFUFaIcCK+dLvPb7+7SEtytURIC1sKPJGAWyZb0IpVSjGsmBSHh4uRWhTAPdQxONTctDRaL0lMlySfw+Wd5Whu0S0sBTQUuu+S5FDKRDMmUU5koUV2iKOLDMjCTEyY1dkq/RqTLVogRkGuFVrK7JUWB9O0Bm0J0HkKaqXvpg87NoT89a8toLXgK3eU80Q1ma+LpUNHSwZS0FeCgdL4CkKV76JXSUQX6FySlYLjiyGHZjRlz2G6GqE0eG6JF5zj8pwXPHdxcmrdnTPzM0vLl98uwIPyNJWKdUpoXv3jLz7/ulNH7nK2rOtSrcxx676Imx+o0HBsphswOSaSCK4IvJjADwm8gQG4E2Z8Ox1SkInVg0wHFmSIsGOu/YbHb71rjIcOjoDbMiu1bQlBQee2U6P6lHOLZRLI1Nl2uULOSJReUsGUo1Rk6WN2kUixNMoPh/Ic3AW1JI+MZG5WKgGm0uYPXyzbZ49JY1ORqiAKQGf4kXTsTDIUyXU6SGvWtpqIrYuRXAz9oOIoIj3Dyd/5m/P86t/AdV9PQK5VkhhEaGkTKotIWPRigWcJAikIlSbKJnmMsuLYUJKCiYbNrtMiypUZbt4LdzxQoznQLLQ0L33hhWGnq19dq9VP1Wqlbwbhbw7wsZpNa+Fxdu1Y8+SKRnv/N8K7t9//xDzX3OPz0BM1Gr5ArLCYqJIMgmoCL6IcDCj7fUrJo+sMEnBHJmPORq0VQigsK0JYiq/cGfCb7xzj4YP+UnBLC0cYcKe0pFh+T0GeRukc0CPqyTLUZKhUP6LRjiosqU30UnCPRPBR/l0AdPH5UYArSPM/U5ZPkseUI4s0YhdW9Amlk73uSRKaDvkWpMNRXm4Ct0woQg5unXAkrUXSnZJ8pH4sVrp1okAq+rB1bch73jzPb7wTvnZniVgrE/WFBZEEJFpYhEISSpu2sGnZkponqGuNxowoeg5opbEtyVg5YOOqMZ6xpc2D5y3ylTttut1pJqe37G9MrH9yz74D7Nqx8T8PcABLSh556KYDE2O1X2iL0274zLVN1k6U2X1aTK9vLoKyLwi8mLIfUgkGVEs9xqodfL9LFPWIiNj3uODISRirK3ZtDakEmsA2jRVKaL52Z8BvvrPBw4c99DLgdiWUhgo4RuO2LYaGFpZsTRY8dfSWYohmLG2JTVUVsUwCOhrt04rlcOVwCOjLRO0i/Sy4KwwlfZkGrtKYm4I7j/QUqAo69SwRSSNWcstILhSdGjOlv0wDWia2xgboMmn6siTmBGb9I8OZhUgvzT5sXTPgb//3PL/+DrjmjgCFAisisKHqK3ZsC2nU4PAJmycOBUTC42QnoBvaZh2iUDgWlHxFpxdzct5GU6HXL+G5Ea+8aIaes4VmJ/6Fr15/y4ELzzv7W8H3WwM8qG6g3W5TKpWOrl4d3HjxWQcurfgztDqaoycCqiWLWkVTq0TUq32mxlpMNJp0Bx1ufkBz7V0erUGZGx/weXC/xarJAZed1+EZ23u89sVd+kpwyz0ef/yPNR4+6KO9VAZ0MnB7EgKp8a209K6z7kA5yrWLkXskWg9/LpahKQWOLUeidLH1NS3DF6qbQ+AuauGZdDhyYovTO4UjA3kSbXUSyTOv4SU6eBHUOVVJrYpNFE90yLTQk72WRI4UJoIapcNCadMEl0Xu5HsWIpvu11b2Nkgng0So2L4u5N3/e54/+ifFrXd79LXgtS/u8IzTBrzgvIjVE7Bnv8PND9i0BpKv3VnhrofqHJyr0A+NXm+YQEyrbFMuwdG5DvOLAzavnuaFl511486zLj466Hfx/G9OT5Y77U953Hz7nZRLwatvuuPOT37s89dQkj5bV1bYss5l/XTI2hVt1q2cR7HAfU/EfOamEtfeW+PwkRIaB8sFLRXRIIRml3q1zZt+YpFjM5Krb/aZmXdRTrpOxAfLRVg2noRyslIkLeIUizdpdM7NModtKcQSEOf9JKIAeEvm1cpso8VIiX655/JpnaX0ZBTYYpnTPXQhjL7mYrdjobUgfb+WVfB4zJboFi2p07tY3uCWn6PczSBrYU7+rUitrC1jgpqva1SFqapCr1CyGsa0VfSx3IiTixZX3+xzbEbyKz/Rpl6yaC2U6A880y/kKmJiDh5TXH+f5DM3Vbn7sTFEXGLLhGbthGbtCo8t6yRb150kik5SnXwp6zZd8ppw0P7Ujp0Xf1u4/ZYRPD02rF3PeL1+58nZ5hU7t5y8/OSTh5mesJmeiNi4qsV4fZYbHuhy3b0B195T59CpMmXHZtUEuInQ21cWC45NK9ZMjreYno7QlkXUM97Wpgsnjdw5uH3L/IxM5y4mkYV+7iXAhiHpT0A2qDCUVC5RQwrRWxai+ND3ZJaELuHm5MllCunM2GckdOct0knBJnlNQzJ1yqULyWNa1Mm2CauCZJjYD+f/VmT8W0pTKMrWEiagV8JMy0uhDT0ROtvAoLRCaXOBZwlm3sRO5pAgNJaKsVSM62mOn7A4cVIyMyvxtM9Cs0675xNHlpHNLUW9FPLa53R59pktrr23y1fvrXPXnjHC2Ma1Q8qBy3i1ypbNm1i5ftcVK1efcWe/N/ftwvbbB/jaNSu54e6DB1ZsOP83nrljj9VcMfuKRiVky5omSszw7zfG/PPnV7DYCShbNtunNIEdZ01OAmMncbQlmG6E/OHrF3jNi7ssLgpuv9fjuns9cns1Cyfh3L4FnqVxrNHoPdz6umwPCUv58vJcehiYo9w6pSjZnhgpsiifPr+Uky89h8Xe7+FvmEn57MJIwK3FyLBugWsPJZw61ckLFU/ySqdUOtvSVrRPSz0BTQ1AJw4ROdCFNmC3lNlknG6a0JhkM72Cjf2HwlIxSku0Ety91+Edn6jSWnCY6Tq8+XUaT1Q4tVAijs0wdDq95TpV6pU+l+/u8PxzF/j7qwdce/cYjx4PEHLAQFXxxtZdddHzz/4NePxguXzadx/gAM8+dz379t508HmXnvnA/XfPvqJi7eNEq8nffrrEkZNlXO2wdQIqvsKzi3sx86HbddOCi8+Dlz7TQ7dhotrltZf1uGdflXllgbSxpDRDwgm40+g9vO1MDxVsRAKAIqizz0kid/F7RSpAIelcIhkWFJeR7sJ8FK1AeTLwJBx6hGvnfSZPYVAKiQ+JeZ+pPDhcmUykQ8EQ/xZJKVRonex/SqufKQc3b1ToRKVJInyqsmiRyI4inatMors0O3+kZYCdJcHJ1ZnO1sYyRmmLxb7kE18OODXvg1/m0zeP4Tshz95ZRUovoz9W8mjbmlMLAWW/QqPS4+df2OFFzzjJuz7V4LGjAVu3TbJ203kP3HjbIwefvfuC7wSy3xnAASYmV1Ctr357d2H/5gMHHnvtBz9fpbtYYtOYoJyse3eSdYJFJyjbEgS+xcpxyemrKswuhMSVRcb9iPGqMrYS2hRyPCuN3tr0kSfgtq0Rk3q5NFJnnDZ7HG2eGv0Y6QaUhYg+FMXFMKhH+r6HLjY5JI5kmy+K4DZf6wJFSX+fkfxk8gYyHElyh6g0yUzH19Lnsq8FWqWLnswPz4cl0vXaItv7mp6rdOzNnIf0jqJRVjK0oJUx30/vFskrFDIZLI9tlI6IlWB20Qbp4/glxgPJ4wd8ytJl5bhF4BsLQEMLzd/TsTWOrXCdEmW/RqPa4+cu6/Clu3xWrlz3iQufcebbHztw+DuF63cO8KkVp3Fg31ULu85Z98aPXrF2zYbxuUtOmzZTIql3R2oJIDCzmUoZX5RKSdKoKpSy6PQ8Sr6LUlbSfyMxo2YyB7elE3piTkhxnjKVA1NwZ8LcCDUYjeSj0Tt/Tiz5N8M9J4wAO6cpxUQwi+DF15BFSPOYbjHIAJ4BzXBeI3yI/BtDF0EK9LRkb1576hyV+acU+kCkNoqISgx6IOlALFCMoh1wehdJAR4rk6AqJVAJVbF1XEwgkEJjxzFaSdAyuYvZuJak4Zm/3UIrwrYFlcjGlvmKEiHMgmHLksnFYwMu5VKVl+8eu2lOrH/jhz/25c4bX/+S7z3AATac/gr2PnhP52d/6uWD66+/gqo9j+8KjpxyaHctAtfsLAz8mJkFyal5C9uGkm8qnVLm9+1oAA8fdOhrG2HZBBICGzxb49ka10qubpkuki2Ae0hzzo8iaIaAwcjHCF8uVh5HG63SXpWiumGJ4cGIoSie5mKazJIsVukMos4u/GLJPu0lsXTCIQodeYKRi2+krXaJif7Q8+lePANyQU5zKFYqGeH8pIm2cb+ypMZSOvMRzK0gUtUlJoxsHNti2/oY6aVtsMZ6pD9QdHtxsrVYMrsQMbsYUXKhFFj4rqTTizg6Y1qrz9xe5fSzXzaQQnZ27frOwf2fBjjA2ORmlFK3H1pYqy/YcOgSrXveyfkJxipl1qwImZ5o0x50ePKUT7tbp1G1cRwS21tj4uPYMfMtxaevK9GKfNzAomxrfEvhWYk0aCcR3B7eLlwcPiiCuvhHLx7L8e/sG8t8b9neEyEKqokomAUVzINE/tpIhoatRNGIY0NL4lgRRjnAs9cmk9EzjPYMOcjToQZZpCgJLZFiBMxaJwlq3pGoh85Epl7nwB66GHK0i1RGTPIeW6lk4ViuqIhMqjT74wPP4VXP7fH+LwzoDSBUgjBWDJJ9OwCVQNMNO5w6NqBzMmBVQ7FmymHFRMgTs100Pj/2knO6O8/YcEe6VOD7CvBVUzWA37/xa/+nMt+ceOgTXzqx2o4ttqyJ2LJ2nkOzi/zDVT79lsW21TFjNQvHSocgTFdhudTnhvsks+0AbI+yBSVL4dsaz8YMSyTgNh4rZJVLKXMZLo9W5vacVvyGb//DYAexhL5kF0LhghhSTlLQp2AuANvOntNDVEUk0UsIkXjtaQahcWdSyeawrFKaVA41aQ9IDvL0oouLJvIFFSU1xtcMR++s3zyN2KS9JMXuvXx5WLotT6cSTkbPTEIYx4LY1sQpwHUhz0mGyPsDj0Yp5ILNLb52d51u2aEfCsLQ7N/RWlMO4LzTI5517hx/f1XEo8eqlHzNWdscpibmOd7e3KutvOxvZ+fL//fkhPefBrj1n/4/k+MNb/h1tK5VKk68O3CUdeHOeU62FnjPFWWeOFhjuu4w1bCpVyWNiqJeCalX+4zX2nTjJm/9eIU7Hpok8DzGPONHFzgJRXFMS4rrCBwHPNtwNceW2LZphresfB98mjwNBe9RmlLk08Xks5g0ymRteTaDmQzGWnkTvpVSpjT5tUzbgG2bvniTNCVJsqNxbAgjmF+MWWxH9EOdrF8kK8MvW95MaRMFyZLh111UepYMb6RVVUapWA7uNHLHsUz2w5tZyLCwMz5OPG7S9Sk6dZ4tnmORA32sFlP2+1x7b0Av9Cg7EDgazxWUPIvAl1RLkm1rFFvWtLj/Cc3hEzY138Errx5s3bTl7fNzx//snLN3Rv8VfP6XAf5TP3V5LOyJ21eMhYN65chzr7m3Ka6+pcrcbIXNUxYrxiT1qs1YVTBWjRmrDZiot2lUF/nnKyUf/doUSlaY8KHmakquORFmWFnguQLXNp8boBvflVSpSUEuRSFypcwv44jDf9jMcm0IGAXfwBEqYsBuQG4tA27H1tg22LbGtclAbYY/YkpBzHgtRMgB9zwac2JWF3ZAjlKI4dc6pMWTR/tRZSgHfP7+lihHQ+AW2aMmBbgBtFkNaR6j5LkiuFUKbl08z0V3XRMcNq3u04sH3HB/BdtyKDvmDu47Atex0Fh0ex5TNZddm3oE5TaPHQ/U2jVb/vicM9b/9Xyz0//Ev/37fwmf/2mKkh4vfNHreeLhj3fHG2uvuP4O60+uueNe1k1U2L1DJk5Dxgyo5GvKQUS11Gei3mLvgQGfuWmKVq/OdF1QdxXlZDWcn0RtIzmaySHHWhq10ygUJ/a6GlBxehsu8PJlEtGnPEb4uRiK8COl8yRyG8DrDOzGMcDYZLjJVNOKsS7SaXFoocbJU2Wm67F5n7YwF0iW7OkM4DnYdWFtSd6WogqDCXkjVIF6pP9Z5s1ndtYi3dxmNPUwFvQGBtxxIpRkHZqWMBdxnKwOVwqlreGgUvhlK8ZiXn1Jl2u+Psuex1fQ8AWVnqLbV3R7imbbotl22X/YYc0Knx85a5Yzd52hW/G6Kx44sND9+de+6r8Kz/86wAGUs5nqVPBIfWzVL/9fb6i83+rdLufbMXc84CCFh+dAOYipVwZMNlrsPdjjTz48zkNHJlhVF4z7irKrEmCbP7prpyDPaYnjCBxLZjRBGrGYWGl6/ZhYxfS1AXmqO6fTMHnNnExRWEaJKwBgWEIcbdAqypV2IZIbLdd8mLnUiFIwoFFrM9ddpDfwmGlXKLmSWCniNG9IX0bKj5Pfb7anaZTUuXKSALKolizXuWWCqc4vWjH8XnPt35yRMNZEsaTbF3T7JnCk7Qjp+3RsQeyQUJbiyu3c6iFOHrUWbFwh+Is3zPL7H7Y5eGSCsiuolhT9UCVUs8ste0Kuv9/jZ1/1AnXh2Vt/uedNPEKv+d2AJv/59LRwbN50IUcPVwaXXnzRB1aMqzevW+My0zzFg4dCBqGxkKiVQ6bGWhw82eYPP1Tn9n1TTFUsVpYVjUBR8aHkCQI3NQwShqI4ZmWK71kEnk2Q+K+US5JqWVCvmGVFtbKNEIJ+pBlEmM242cRIQSUYee1PgY0CAAreg0W9W6aJF9n6Fjvl3oldhudG+J4Z/AjcPrYVgopoh5pmKOiGwpi+J+qC2eibUJe4MNql0o/8/WRdrk/x4keT5uLneadlXkl0HYXnmN+x2FLML0Y02xGtdky7E9Ptabp9kg8T5XsDST95zOwdujatjstiy2O+WWJ2ocH5p/n8xRtOsmbVIkcXBc2Opj8wdGXHpjaV6ix2qc5i333zltN2f0B23cGu08//rgD8uxLBAVav20xr/nB80cWXP7b/sanmqcWvVj0Z4rlQLyumJzocOtXiz/61yn2PTLBuTDJeiil7hl+nnNaSIosUbhK1PcfCdS1cRyRJJ5klRZbMTYcsdENOHZJJCbjQJiCGA3UqkmkthuwalkV7QTkpLopNKUrqmmuAYrxfXEvh2rH5cMzYnm1HSBEjdEwv1nRCiW+JZAqpsPxKJsUbBTLO2wKU0miphxQO/RRRO29+KiaWhW7u5Pmh7dKWpl4ecOCEzYMHJb4VJ3dOc/c0+Y+F68gsepvXYaiosXswM7r9gcbuW3T7Zht2f2BzzqZ53vbG4/zJRwRHFqpM1BW9UNPpuJy7bTVrt17SvPiCCx878OTx+Iwdm75bsPzuARzA80s8cqB/1cSKZ//K6y53/rbbvWbcEwPWruwz217gLz5e4sH9Y2ydkoyVNWVf4LvmJKYlZwFJ6TYBt2vhuYnnipu4ZTnaPCazn5VSxKbVMzxwBA7NTzERQMkzCZ8UOQlPQZ7+niwpTRPUZAA2w81IAShL6NLoPSQT5lHcTk2OCh4w0orJd1srekrSj8GJwZYCK0oXbg3TIKXSXpAC5y6Ae7ifRQ/lDbIA8pRuIfISvEi0bdeJKXkRtWqb2Xtibn90gm1TgoqvCZJz7kUCL9YoZaF1Uq1MTpLGTAbFKs9/pLRwbJu2a9PpOXT7DjvXzfEH/+Mkb/1XyeGZMltamrlunQ1bXzj74h955m+qsH2VJvhuQvK7C3DHHweg05796MRZu+0XnpBv789+bao9OMb7rgw4cLjGztUwUYVKYCzeXFdiSWEMGMOYKEo2QCRmQsZQKLeCCzxNyTNV0rIfUSkNmGh0COMFHniswmIfKo7AtU3noZZLm53SiqFEZ65PZmOZWBLFswgIQypETlXyCGhAXvRcTH3NzQxqbmASM4jN9oQohsgys4mWAiuGWGqslI6odB+mGeVSUixLT5a0ICSKSgr0IvfWhf9HJhem60aUgz7nbmvx0WsqHJgrM12JqQaaMFZEnihUX60kv5FDrcZKm7U1vYGhiJY0d9/At1loO7Q6LptXzvNbr1ngfZ/VHJ1fzeWvfN7JLafv/t1mN/zoWH36uwru7zrA06NUHqfbbX/oBc+7VD7wjUfe+o+fODHVa5U4b4NgrGpRq1iUvIRyuIZyaBXz0AGTMFqWTKiKAbifgLvkK8rJfqCSH1EtDaiWu0xPLHDv/pBv7C0lOnieXY62z6YgTwFiKEHSXiqGv2f+8bCF8nCSqfPHwiqW4hoWs+fTDFjnTSmKSCcVPmVWc0TSDG2bbWMi2aphQJ8mcnqoJp9XEYtUJF2ya2UrGMmS6VQOzOhZlt0mlAbBhTtCNkwucPdDJWxprJjjAv9PlTEjBYrk72QCgy3NZuUDRxVaK1xb4romlyr5NnOLNnNNl0a1w8svGkBp88ktp138e3EUf2isUf9eQPF7A3CAICjzoY998gNaTcRb1572N3Z0eNx1XaYnLCbqhjf3B+B7ihXjfY7Otjh4V4mab6zhLEskawvBd8nAXQ5iykFIOQiplnpMNFq0+y0+e3OJ+TigaqfDx3pJaR9Y0keRF62FoQLZ90aIexLC09J1sbonMx6br17JNlYkttAitZxKAB5qY50QKUGUrNCLYzOfaytyUBVUkyy5fArdPO+JKayDSV63cXEQ2QibuZMJYi0z9WMQ2gSBx6uetcBjh0scazYAw7FNlVRjdIk4u8htyyKOTRAoBzEryx1u2htz8oTHirqhoP3Q0NDxmsXKCRfbgvHJjbPnn1f5ncP7r/7wGee85nsFw++OivJUxxt+6jWctpqPnLdr7a/t3LGhuWFasWtrk7WrTnBssUOkNNMTfbauO8ltD3c4MpuskRMG4K5DwrsVJS/d7JaDe6zWRogWf/dphw9cPYWKTcUsLe+7lrEhcG1hSv2ZrGhKxmGy2CiKyUBW3OuYgSdVUtJCSiF65xeSAZVZeZiDXSbgznaFJiV4pRWhFkTJ/qNYYSwUUr8QXfhcFW3cCvp2Adzp2JmVjK/Zts41+eQ1AcSxIAwlg0gwCCWD0PhwD0KL3sBB4PNzL4n49Vcfx7LanGgL5nuSVk/Q7kGnp+j1Nb2BkfqM8mNel2Mp1kx2eeauGfYdjzkxb+jP5ESHA7Mt9hzo8uihPkFldVM4a37t6w9EH/leghu+hxE8PTp9qaRV/8S2zSI6flJ95K5H7vZsB+58oMFLLtBMNlpceduAa++ZYNIzKkmqoHiuIHD1suCuljqM1xe5aU/E525aSTeqMF2DkqvwnbSXxawddy0zeWP2LaYfgEiTQxOBrKKkWMRQIUkbao0tDl9Yw6b+6b7PdGNz/hNzpEY6ieBaJ0AWCUUxuUGswU4ieaw0ttZLByVGXld6kaX21JZlksowkoSRpD8wJXhLauJk3Z6JxDY9x6HV8VgxXuLHLm3xtTtPce19NtLysnnSdEt1SsUGtmLgCgYh9ENJp+vzvLMW2HfoFDd/fQUbVtrs3iWxvSaoJlMTZ/b86vT/XDlV/XSr01ffHop+gAF+2Utew7GTs7EfBLccPXq02QsHHDzwsLeqYbNuZYdOPM8nb6zjap+pOpQDo3kbW2YTvQM/phRElIOQSmDAPVZvcu9jA9760Qn2nxxjvCypuYogadQy/7/Ad42ObttmDrHdi5hpmb5VO+lW9JI+bEsmQCsUUjLrhozL5xry8PLa/A+fURUZI0UawVX+wxJTnFCTg1yRFX2KkVtljVA64+KkdmdDtCm/q9hJFdVzjR+kbZmZylanxFzTQSlTPfVc83qk1Ni2hdO3cWyPucWY1eMRv//T8zT/0eKux1cgcDE+NuldSxk511G4iQ7e7FicmPMpBWO86lmz3Lm3ycGZBidnfKQIWb1mY2/96un/cbQ5ecXxubn4517/U99r+P3Xe1G+neNP3/o2Sp7dHhtv/Mstdx34utall52z6YTz4JOLvOPTZaJOhc2TghVjFvWyQxBYlANBJVBUy4pqKaRWDqmVe9TKHcZqTR482OMtfz/G9XtWEJQ8Jn1NzdOUfSh7Zt144EtKvkW5ZDZ5rZqSrF3d474n+xyZcxCYdajZ5gGZ6/CWTBurZJIPiKSRKr39k7TxKtPSa6uCc67RwXMvxhDfCzk6p7n6xoAjsx44Lggr8VUkMy/KfbNFVh43+yVF9posKXNH3/TDBsfReK7CcxS+GxP4xoRprNZmrt3mC7d4zC3Yyd1Bkk885WN3Jkk1X29dF3HG5iZ7H4X9J3yUtJPXmN61kg7PZIwpVjK5U9hMNSQvvGCRk62Ib+xzecGFGzs7t0//7JU3/8Snz9m0R/3kT7zu+wG9730EByjZAiD+o7/5xLE//q2//+ShfT9p3/tg/f13Xq/rXmSzdqVk9aTD1LiFwDT3uLZOuHdMJaEljWqHenWRhw71+f1/bHD9AysIyj7jrqbiKgJXJ1EbfE+aTROBRbVk0ahoVo6bP9jW9af42b9Zi+qVsIW5jTtS4yRJmFrCwUdbaAt/5IJUKNPV40n0ThPMVNnIDq1BxygNfS0IEgoSaYGd0RUTvTM+Xmx/LRamyKXAlIObQd6YwA2plro4zgJ/8fEa+w/anLN2QBxbxMoBrATYEktaCe1wEi3fKD8Xnb7IX/7iKd7yfrjnwCRaeQhhVkA6tqlGhp5iECp6fZhdgE7PZRA2WD3lcPHpIa43vnD/4Yk3vf5n933yiT2fZuPOn/u+gPv7BvD0+JM3v5Zf/bF3cNUtZ318/coNzuWXtd9x2x17Jnyrw84tgka1zW17bRzp06hC4CnKpZB6tcfkWAshF7nn8Yg/+KcJbrh/Er8cMO5BzdOU3LQoAZ4nzbYJ36LkS8qBNneCcoQQgtNWaybKixyb86kk23Y9W2dgWlJEKVCBnIPnfLu4mTldgWh8RAxILBknFCUBZWJrpnXMQNkMFLhK4KQdhhbDC5sS+XyUfxtwJ8Wdgi5vp3cUN6Qc9DjZ7PPQk2UcLWl2Y3xPJBs1zN3AbJ6W2JaVNI8pLMtNEmTNs3Y2+as3neIP/zli7+EJji6WEYBrK3zXJJllX+C4LW7fKzgx59EfCBxvmsnp7TOXTVd+a9va0sc7ffV9Bff3HeAAU5t/C4DjJ2Y/Yju2PTY29bZDj90wtWL8MNfe3+euB+tceJqD60jKQcxYtcdYtUkvXOQfrna44paVPHakRqniUHeg5ipKTgLuEd7tuRa+Kwg8RZDwUSmgURW89tmL/M0nJ+j5DlGS3JlhiXzVnQHQMgWe4p7PhIPb6Za4TPvO17KITCbMTS7REaiYWFj0lcCNjfdLpIzSEVs676VRBvAmkuuhuwuYWmLOjdNE01Ckkt/jM1d7zC26rAhMn06vr+m5Zl9S2qFpqBhJsmxj20mCnGxzO/+0Hu/9rSZX3tLjn65aybFODceSBK4mDDWuAxfu6oPX5prbaqxZuYLtO59zcudZF7wljqKPuP7Y9xtqTw/A02PlinH6ve4HX/yCS8VtdfXWr13/ualPfLXPBVtdxqqSejmmUekzXl/k+vt7fP62Ol+4cwKUz2TFuMt6lsa3Tenec4zmavYGpR8CL+lBdl2jKgip8F3YsCJCxRF97WYOp8V9lEOtq+RNSiIFUap9F7Y3D2+LKyywFRG5ravOIjgqRAmLrrJxFbixwJEG5JHCRPSEpujRprGiRW12EepE5Rhef37whMdgIIn9tNdbMwgVgzBmMBD0LAvbTvm9ieKuk8uLsbLoDnxWjQ34Xy/rsnHVcT5za49b7pmi5AoqQcxcUzEzX+FVlzyJa49x3rm7T27dfvHv9Xr6g+VK9emC2dMHcADPD3joYOsDU+sujM4623nnMx+9ZuwZG1qcvqlPoxqxZmqR2x/q8ecfG+PYiQZr6pKyF6MUtPsycZRNV6ckEdy18F3L7BBKpMK0Icu2FFIoNEYm1CjiIdAs1ZiBjAIM+aJkUplO1o6nW+KiwlqWZHmtF0JFoT0BfaAdgx2abVnCTM90hEys6QS21DixILI0tipQJ5XLhLpApSAvPhWbrNIL0rHN87E2F05aAwgjzSDS2KGm2xdIIbM+IN+VRJ5Z5RfHksW2zcxchZIf8pJnNNm1cYE/DC3u3jNB4Gh64QApHTZvOIPLX/yCuY3bzv9ty2r/ixATTyfEnl6AA2xfX0Hr8KNrxs+fPXH86JYLtnf/auHEDU6j4tDq9/ncrWVazQZnrRWMlZXRyF3NqU6fvQccyp6Z1zT9KmaNoe8l3W/pLbdQUUyrnKNWCaPbd7NjpMejmFSmjVW2XWiuciJc26w+9N0+jtdn/xHBbTeUWWxJLjinz/atIbc+7PH4YY12QSPpC4+OFGYVi2V6s+2kbVZZRdmQ4dnL4Ze6ZP40fUc68eJOC0qmJVcTxYpBKAAJ2pTfXduoIaApBz0eOOAxv1DBtyWuo5hZKLF+eo5X7u7y0ON9Ti66dKKIS9acH4aW/J3ptRc/NghLV5ds9+mG19MPcAAhHNWZ33PVm37+Re6ePXs7ew+J951YvFtEqiWPHquwY1qyZbWFlKZ3esdGmJ6e45++6HLiWJXVjqLkS6pli2pZZt2JQuSuVVamdCTbk51kkAHyJDJ9PdnrKignFNtl89K8balsU5yTfQwoBV360YC//XiZK28s8cjDDmdt6/OWX5vn7K0R+x6y+fyNJd732TrtviAWgo70DMDjZHNF0hMe60KLQRLF86sxb6Ap3n3SwQiQRCFoZSqny/XIh5FKimACjYVjSyoli8BV7D0U8uEvlljTsNmxQRBGcPhEmf7AZv3EHGdv6lH1A/W6V5yjG1NbfjW2z/zwvfuODp51wfanG1bADwjAAUqNnVzxtT0Dz1/z0cWY69Y0Oq/5xp6JP58sn2KqZnHmVsHDxzqcPOIx2bDYukaxZmrAsSNmOKJSshirWUw2FLalOTZjkrfATxo6C4BsdjS3PBAgLMssrGK4azAPgQVvlEK/dha9pTa0JFuuFeLaA8pBjzse1PzbtQ0+9qUx5nou9GCxq6h7gsnA5cLtgjM2dVi7MuLfrom4Za9kIC1a0saLBI4ENyYZgEh6VUZkzKLFgyafk0z7V5SShKHF7l0DPnlzlPS+FNalSNOxCXBiNsSxIY4dPMeiXjZ05fApyf4nJT6Kxq4BB0+0eezQOLHyqJcq/OizJ+mz8g+fd8maT7rV2iHihwbC/s7s1b6Xx/e0F+U7PS5//k5e8qwt3fUTRx5uehve9twLTvvTc8/ZGpfKLmtWNAncFhXfYqwaMogGtDoWZQ9KvqRWsVgxpti6tsnk+BEOHe/Q6iji2IRhE3nNZuWFtuKLd5YRtjHWT22Yh1ZmZxG9WAgpdAwW15LbkaEmTkjg9+irAR/4YoUPf24F83EDu1RHVOrgVYh6ZZrzdeabDWwq/OwrIt74kgUqdhP6PfpRTDuW9GPBIDa9OVFKVZKyvYZszA1S/5P8+eLoWD90eOH5A+qVPoNYEyrTXKUhcxvbsDriRKfNo0djTs2HLDQ17Z5ZvloLNI4bMdeKaXdsOmHMwRMdYqVorNgQC/f0P/3Rl29827W3LTwsxJndHyRwww8YwNPjlS99HWdPRvELXvT6P3rj//iZt7/2lc/qx3admx+osWm1ArvN+68KuGtvlYmqphRYjFVgzVSPUM/zjs+4PH5MmEFknVQJk7XhjhXS6StiXGxb4lnpmm+yPevFY4imCArcW+PYMa4dmakdZ0Dg9xioPn/9sQqfvX6CtlOlFHisLgk2jwsmKjWOn1rDkycmmW9WabYqqF6ZH7s05rdfP0fVaRGHA1qRphMJ+tlkOxl/TkfYgJFG99QQSGSJYRTbhJGN0BY1v2/Md+K8qQthGtE2r4r59dfMg9fjyIxivhXR6ghmFx0uOt3if76iQyQGPPqk4NlnSTasq7Fq47P7l73kF97+M69//R994UuD+MWXfX8qk9/p8QNDUUaPc57548zNN2nUw/+zcvzZsjy2avf22/5D7tja3H3H3p595OgY6yaNtFUrW4zVFCsnWnzu9ogDT5Y4f1PacptMtzsGiK7X51+/GtDuBNRKAt9WZh1K2lKb0JPRhqu8mYmsUpiNpDkDAr+PFj3e/ymP935ynIWoQilwWOFpxgPFeEWzruFx9HiZwO4zVusm1sWaWkXxy69u045meNe/2/T7Fk3p4EpT0XVjkmkach+VIQlTZ6abSpFYP1gMQpv+wGWs5vDTL2jyxx+YoBv5yRyomf+MYk2z43DeBoeLdi3yhRt8VjRiFts2USw4dDxg/bjgnC2LLPYakZYbbv2Vn3+FWrli662Hjsf/p9dt4QeVpxsuT3n8wAIcYKyR6ae/99jef+fPf2NX9eDRxX88Ol/5iZftnpW3721iU2O8JplsdJlttvnMDWWmaxa1sqQcmGJRKYgoeSGB12euHXHfAWPjW3W1MaNxjNSY9owXl5fm9mV59E57TTwnxHMN565XW3z1bsFHvlBntlPGqnjUbKi6iqqvqZcFgWfR7lnMNZ2s28+2I5yeR6Me8nMvafP1++f42tdtOrKCKy38UOLZijAZRs78DLPXVRhqQBveHWn6oYU9sPH6LnHks3NDm7FKm8XQpz0QdHrGuqHd1Sy0bU7M1HnVpUe4+f4uM4tlJhcVc4sWpxY1Dx8aY+dpk0q7Gz716Gztf+2fe6L5Sz/33RkK/l4fP9AALx5bzvgJbr37YFOUgl+7aPfhRx995JZdZ8bNy+kcwvcEE40eX/y6IB6UWLUKGlWbRkUz2RiwZkWLStChUupx/b2C+x6uGd7uKsqeJvBM73i6TS+KwY7T8azcPyQt8Di2zoaJa+Uu/bDNh75g869fqfHYTBl8F1cKgsQIyHPAs82UUhybttJ+aHqwo8gmim16XZcNYxFv+elF1q5SXH1rzHy3gW9J/Cjh4io38gSTF+TOWqbTL4pBacuY4AtDo5pdn7O3djhre4uvfKPBUeHQj4zHSbUcMbfgcmymxLZKjUvOavPVm8us6fT5+j549kWns6taueLC83c/sPW0Ne+Ku72mXfruDQV/r4//NgAH2H3ueoBTjz765B9MXPgzG3Y/414ee+yRy48f2U/JO4pAs27cYf1Kh1rZYuVESK2ywN37W+xYHzLZiGn3BVHoMV7RVH1F1ReUfDPd3o+MLYJtmVu+66jMeSrl345lkkrPiaiWu2ja/MNVHu/+90lmO37SEigzzm4XXLCEMAlh6iBlVBGZreqT0uW55yjOO63F+hUxf/cpyVy3TsWWlBIpL3ek1cnyXfBcReApLAs6PeNr0h+YZNKSmsANmfQdyp4mijT1RpedG7ocOVKmNCcZqyqeOGoR+HXicIb5ZgfXm2Dn2Tuprdp+xasu3fGbC3OtA0Kseroh8B0f/60Anh5bt65BqycPILb9dqhL/9ZrHRuc7G39k5Nzs2eevUXRiXp0+h6B1+FLdw24/u4GP/UjklVjs3huC9uV1H1NvSQYq0pKvrHzhYhDswNm5izGtPFzUcZsO7GJMOqJ58aU/AH9sMt7P+fx/itX0RcV/LKm5C7Q6UeEcY14ZG4yGx1LxsfMvKfCtSMUfWabEkfW0Eje9IoWUhznXVe5LAxKVD0TxdNEU2DaaT1HUQlCxmp9Ts0rjs1UiZWFa0NvYG5JgetTCnw6fYtKYPHc0zSvvyzka/cu8o37G5QDsKwWtz9Q4pwtDVZMncnZu869YcXK4F2lsc337TscHtixfvXT/Wf/Tx3/LQEOIOQagEeBRz99xUcYhPKxy1+26ZMzJ/Zu+cyX7rIuOE0y125x0z1lVtVqSCTHZzt87W6FY1vUA814VbJywqXkW6bLcH3M47MLfPDqOlLYVAKdrfNLAW5cqyICv8fdj8b8/RVrEFaV7SugVta8/JI+T852+PCXbQZxOdOcUwNNSJLXZJuZa8eEcY8PfLnEk8fH+NFnlqhVBKsmXH7xR2e4fs88d+zz6YYiGw8zUqHR9l1HUa8OmGzM8rlbJYefLLFltZXMSErAoey7NOoezz23y6OHFVbkcfzESp535gyPPtHmxFyNS7co1m0+Mz7/rJ2Pnpxb/MULLtx9VCketi3xHf9tfpCO/7YALx6vuvxnWFyYv0/F8WV7H7HW/Pavnf+pmSevr331jsfLG6cUZ2yAkh8xiCNueaBGxRZUA5hoOJy+UdMbdDl4zAMsXnRezHX3dThxpM5ULQeSnaxTcSzTlRipAe/+XIVOXGX7uGbDBOzY5HHOpgle87w2M+15rr6lRDziY5Ie5qLR2HbEVbc4vOsTqzltusyU73DGZoVAsXF1n1//sXl+/v8Zoxv7hLHI1I90XYnnaGqlAQ8dCfnKXRPsWAWBH3PwZET/hMS2HBpVh37fZ/eOLv/yhYh2T3LXgxbb1td5zrmS+d7W9jMvfdaiivuvrlR3PlmbtA5I8d8b2OnxQwFwgFq9QburDpx33oWHCFs799lc9ONTz/7H2dknKnfc81Cj0jnG7Q86VB0f4Sps22J6QlKpLHLb13u0m2NsW2dT8lwCJ6QTGvsGgelpCTwzJZN6mws54MhsnWogGS8rJuo2jarFIHIIHJeJakRYKMzAyIC+IGsdOLVo0e17+JZmrqk5NW9Tr/i0OiVWNzpIHZnCTwT9UNMfKMJYobXEshSBN6AXxrR6PmUPNqwKGZuY55rbA47P1ti4GlodSbvTYPcZXVwCdj+j1CzXd82euXOH3Q/5Ba+0+bbpqdoCxEqIHxpY/GAWev6zRzmQ+I5QTxxuzQXlNf/xxEMPbbxw94vf/Iaf/p97Lr7o3Lvb4aZ7XnzBRG/TpgAEjNUiItXj0Ekb27KQ0phPxlFMmKgVlgUlH8ZrA8ZqPWzbDC5IYahOxYGSB+XAIvBSNUNndnEgsvbWtMF11HDfNEOZyf5uX9HqQrtr0+u7DEIHrc0qkDCG2bZgtqXp9VRmjml6a2KkTPxUIos1E6CtkJPzEWGoOLHosOfxdb3zdm24Z/OOC/dc9qI3/MUHP/bxLeVS/bRtm9f8x1SlMyeE+KECN/wQRfDicfppqwDU7GKIEPKDjjP4kGVZXPrMc6x6tfq+jfs7px07+OQllcpRa/+xBYhd1kzGVEqGa2tEViK3LcFYNaJcarLQjbAo4bsOpUAihcC1MO5briDwNeUgpDMIOdn0caTZqqCKjVCFtlY0xMpistqnEvRp9kr0+mb0y0y/m3ZVAQS2pl4RRJZiYaCZbykiRabLp14nC62IRw/ZXDzpcebmkJnZEl51TTy9YeqmqDT28KDf/OXebBi7bsA/v/vv9PjUxs7T/ff6Xh4/lABPj/Gak36asoRofn7hf23c5o61m7N/uefer7h3PxHFO0+bOO+Sc9Uzwt4J5hcUUtg0ShGtgcS2NLVKl+vuj3hwf40fOdunUYmy7XBa68SizDT+TzVafPSrNl+8Y5zAMpvQ4lhkVCUdnDBSpGYQurzg/A4PH5vlU1/1Wd+16A9MY5UQqTuXJHA0W6clz3pGyIOHO9y/r04UKXyvw8yCpNl0cWVIEJQIrWlsN/z66ZtmvjG3cqu1+5IXDVauGP/9Hf3BXK1WA+C3fvHp/ut8f44faoAvdzSMRdgc8CaAB++/Ea3ls+vlxcse3N99danc2v7S5/Q4evgR7tkfYckYxSL7DylcXBoVZabHY8kgjhkkNhOuI5io9Tk40+OzN9WxwoCJiqavBc0BjMepnGKm8svBAMuKaLZ9xmoNXrm7w633t5ht1QhjleyPDHGd0FQ8LcF8G8Kew5qxiNv7TVOOjwQ33rea7adv4ZdeV2fr2uChU83Kp0TZ/fJYoG94/Yufy68+3Sf9aTz+Pwfw0WPHmZcC3HDg8NwN23ZwY60UbqlNzar77jqhnNrEpkvPnHjLQvMhtm3xWVM9xVzzGJU5zZ6DNivrilWNRU4u1vHdmPagx2euLTHm1glWRJQ9yYb1ihvvUwjhJZVMQ84r5SY33FNm2xqHZkfQ7lb4mRcu8pnrPDo9h/Fqj32Hughhc962HrOnXCw75sHDK/iR3ev4kd0Dtm/eTlA7+LYjs+Hjr9zxfHnBhQ05NW4/huY/hD3+dJ/aH4jj//MAT48Na8cA/iP9utU8xUstr9FpHr71utuh2gjCZ17A/z58gheunYqpLPZ4rXiAfniQq26w8TwH25E4lNkyHdMeNDk1V+bcTRGOnCfurWSyHnHghI1taQ7P9HngkQqrxrocPL5Iqz1OpdagXHbwfA/b7XPdXXXGKtv5xdedQ6vjs24lHJ2xvnLGls47/UrfGZs8ky0bX3TD6Wf359esnnq6T+EP5PH/A/wpjkp1EmAeuBLg+IknQbDPqoiVKxuRWqV6iM5R5ppHKZeTJbZuP3zVS1/yx2F/9uUn58Jw3xGHTZsjzjxzgUNHx5hqhAwe9KnXBUdOreXMXQEbNnUZHBJQqjqNauPzre71f+x7thNpi5lWCUuuZPvW8/A8hxVjQja78jiCxy87c83TfYr+Wxw/HGr+D8jx6L7bEEKsnJ15vH70pNZ7jwiefUbM5FiLw8cqNKoDbtpbYqwCR092max5XLSrw0MHApp9X0xPrVnQ6OMvev5FT/db+aE5/l82S7VzMkIPsQAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNjo0NjoyOSswMDowMBRwWlkAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTY6NDY6MjkrMDA6MDBlLeLlAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 8}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 21260725
{'hecke_orbit_code': 4503737200541750, 'n': 1, 'trace_an': 8}
-
id: 21260726
{'hecke_orbit_code': 4503737200541750, 'n': 2, 'trace_an': -32}
-
id: 21260727
{'hecke_orbit_code': 4503737200541750, 'n': 3, 'trace_an': 0}
-
id: 21260728
{'hecke_orbit_code': 4503737200541750, 'n': 4, 'trace_an': -256}
-
id: 21260729
{'hecke_orbit_code': 4503737200541750, 'n': 5, 'trace_an': -54}
-
id: 21260730
{'hecke_orbit_code': 4503737200541750, 'n': 6, 'trace_an': 0}
-
id: 21260731
{'hecke_orbit_code': 4503737200541750, 'n': 7, 'trace_an': -44}
-
id: 21260732
{'hecke_orbit_code': 4503737200541750, 'n': 8, 'trace_an': 4096}
-
id: 21260733
{'hecke_orbit_code': 4503737200541750, 'n': 9, 'trace_an': 0}
-
id: 21260734
{'hecke_orbit_code': 4503737200541750, 'n': 10, 'trace_an': 864}
-
id: 21260735
{'hecke_orbit_code': 4503737200541750, 'n': 11, 'trace_an': -2172}
-
id: 21260736
{'hecke_orbit_code': 4503737200541750, 'n': 12, 'trace_an': 0}
-
id: 21260737
{'hecke_orbit_code': 4503737200541750, 'n': 13, 'trace_an': -6398}
-
id: 21260738
{'hecke_orbit_code': 4503737200541750, 'n': 14, 'trace_an': -352}
-
id: 21260739
{'hecke_orbit_code': 4503737200541750, 'n': 15, 'trace_an': 0}
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id: 21260740
{'hecke_orbit_code': 4503737200541750, 'n': 16, 'trace_an': -16384}
-
id: 21260741
{'hecke_orbit_code': 4503737200541750, 'n': 17, 'trace_an': 51972}
-
id: 21260742
{'hecke_orbit_code': 4503737200541750, 'n': 18, 'trace_an': 0}
-
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