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mf_newforms • Show schema
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{'Nk2': 3388, 'analytic_conductor': 6.763329051202448, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 5, 'char_parity': 1, 'char_values': [847, 5, [122, 365], [5, 2]], 'cm_discs': [], 'conrey_index': 148, 'conrey_indexes': [148, 323, 372, 729], 'dim': 16, 'field_disc': 19573955532720947265625, 'field_disc_factorization': [[5, 14], [1790809, 2]], 'field_poly': [25, -200, 700, -925, 1850, -2300, 2135, -1175, 640, -245, 245, -145, 86, -32, 14, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [25, -50, 450, 325, 275, -200, 1085, -975, 840, -385, 265, -70, 31, -3, 4, -2, 1]], [3, [256, -1408, 3584, -2464, 32304, 11160, 18112, 10062, 6213, 1762, 682, 120, 104, 26, 9, 2, 1]], [13, [188897536, -159320448, 99691904, -52221664, 27560624, -10037080, 3693312, -1416018, 648843, -254273, 84482, -21415, 4689, -829, 124, -13, 1]]], 'hecke_orbit': 23, 'hecke_orbit_code': 99079535433089871, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 5, 'hecke_ring_index_factorization': [[5, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 3, 1, 5, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '847.2.f.w', 'level': 847, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 11], 'level_radical': 77, 'minimal_twist': '77.2.f.b', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{6}q^{2}+(-\\beta _{10}+\\beta _{11}-\\beta _{14}-\\beta _{15})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 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'weight_parity': 1}
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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, -1], [0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0], [-1, 0, 0, 1, 0, -1, 0, 1, -1, 0, 2, 0, 0, 0, 0, 1], [-1, 0, -1, -1, -1, 1, 0, 0, 1, -1, -2, 0, 1, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 1, 1, 1, 1, -1, 0, -1, 0, 0, 0, -1, 1, 1], [-1, 0, -1, 0, 0, 0, 0, 0, 0, 1, -2, -1, 1, 0, 0, -1], [1, 2, -1, 1, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -1, 0, -1, 0, 1, 1, -1, 0, 0, -1, 1, 0, 0, 0], [1, -1, -1, 0, 0, 1, 0, 0, 2, 0, -1, 0, 1, 1, 0, 0], [0, -1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 2, -1, 1, 1, 1, 1, 0, 2, 0, -2, -1, -1, 1], [0, 0, 1, 0, -1, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 0], [2, 0, 0, 1, 1, 1, 0, -2, 1, 0, 0, 0, 0, 0, 1, 1], [0, -2, 0, 0, 2, 0, 0, -1, 0, -1, 0, 0, -1, -1, 1, 1], [-2, 1, -1, -1, -1, -1, 0, 3, 0, -1, 1, 0, 0, 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0, 0, 0], [-10, 1, -2, 5, 2, 2, 3, 11, 0, -2, 11, 5, 0, -5, 3, 3], [0, -5, 0, 8, 5, -2, -2, 2, -5, -1, -2, 0, 7, 4, -12, -4], [-8, 0, 7, -11, -9, -2, 0, 15, 1, 8, -12, -1, -8, 0, -2, -11], [7, -2, 1, 0, 0, 2, -6, 0, 6, -10, 3, 10, -1, -13, 0, -7], [-15, 0, -19, 4, 9, -1, 0, -4, 8, -18, -4, -1, 18, 0, 12, 4], [0, 0, -4, 7, 3, -5, 0, -4, -15, -2, 22, -2, 2, 0, 1, 7], [-3, 3, -15, 0, 0, -3, -10, 0, 12, 0, -19, 0, 15, 13, 0, -4], [-10, 0, -5, 1, 7, -6, 0, 5, -18, 0, 19, -5, 0, 0, 2, 1], [17, -4, 1, 3, 8, 0, -8, -12, 12, 0, 0, 0, 0, -2, -2, 0], [0, -6, 0, 4, 6, -4, -4, 19, -26, -3, 26, 0, -4, -7, 3, 7], [-11, -25, -5, 12, 6, 0, -6, -2, 2, 0, 0, -4, 4, -6, -6, 0], [-12, -9, -9, 13, 9, 9, 0, -17, 0, -9, 12, -1, 0, -13, 9, 9], [2, 0, 5, 0, 0, 0, 2, 0, -3, 0, -25, 0, -5, -3, 0, 7], [0, 13, 0, -20, -13, 0, 0, 6, -1, -3, -2, 0, 3, 8, 12, -8], [17, 12, -3, 9, 2, 0, -2, -2, 2, 0, 0, 10, -10, 2, 2, 0], [0, -7, 0, 12, 7, 2, 2, 8, 17, 13, 8, 0, -3, 0, -12, 0]], 'char_orbit_index': 6, 'field_poly': [25, -200, 700, -925, 1850, -2300, 2135, -1175, 640, -245, 245, -145, 86, -32, 14, -3, 1], 'hecke_orbit_code': 99079535433089871, 'hecke_ring_character_values': [[122, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [365, [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 454580475630153760, 454580475630153760, 454580475630153760, 454580475630153760, 454580475630153760, 454580475630153760, 454580475630153760, 454580475630153760, 454580475630153760, 454580475630153760, 227290237815076880, 454580475630153760, 454580475630153760, 454580475630153760, 454580475630153760], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 1, 0, 0, 0, 0, 3, -2, 0, 2, 1, 0, 0, 0, 0], [0, 1, -1, 0, 0, -1, -5, 0, 1, 0, -1, 0, 1, 1, 0, -1], [1, -1, -6, 0, 1, 1, 0, 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[[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [88528161377575350, 120133073008741205, -434474896057227745, 546963632352958070, -560336279122558890, 100524107363786610, -160665000409949210, 30869277708222543, -65098048812157320, 25956864481307657, -20835947263746904, 4494612950061958, -3234633146529285, 154302737507927, -215936836813390, -33722118880975], [-1569079812936964435, 1164454349991851775, -4265354995237286060, 5505326380247646890, -5164313069616781590, 2313198962618101340, -1226946693965489055, 274072637813433960, -592228758909440833, 292393929070812298, -179218800902324756, 45808084826141647, -24553779304461089, 444742620384542, -1360333162376645, -686277383720070], [-928639412535219835, 368306587037923705, -1173049633586345730, 1021707328353270230, -2070346335621533450, 395306407846606840, -583922916320059255, -292096370375405502, -248365491806816213, 41469078152400808, -69609203132183412, -9687442744709873, -8597109141630243, -5527222230184928, -514706296938285, -874936745197272], [95214593589332550, -739274040704445675, 366777001484809055, -1979053855141622330, 2957115228664641670, -3159142418183242750, 1770758763681867190, -887685879699924177, 312652728515985000, -347621794857624183, 214474805906670840, -129795369286809034, 49577176484430299, -21672367495495401, 4832412997019746, -1565624412275039], [-189874590198959025, 1479871527393288525, -1476295694818421740, 3585858111334770990, -4085868252644216690, 3769863137668677300, -2030901870569891045, 1101433166283370416, -436889234085257675, 433123005758956374, -254981761232364844, 149577475159066613, -55793399026072099, 23996414540642882, -5194753922189191, 1676337845170790], [189874590198959025, -1025291051763134765, 1476295694818421740, -3585858111334770990, 4085868252644216690, -3769863137668677300, 2030901870569891045, -1101433166283370416, 436889234085257675, -433123005758956374, 254981761232364844, -149577475159066613, 55793399026072099, -23996414540642882, 5194753922189191, 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4147870816217860], [-845040850217512955, 4454224626365266160, -5718121221686276935, 12987506946195918920, -16343113922700919960, 15544790585628961210, -8426965416523262079, 4630478387715251365, -1735699601854553351, 1775572940212630785, -1047203823403574964, 627185674080861763, -232311097915978782, 102438964384476967, -21838143406687493, 7327526319488073], [864066394282347650, -2965788298433688075, 3888216659798809835, -9161804501671007210, 12158198218393584390, -11480502622702818310, 6340299488823316290, -3395227103875767205, 1276995934654789444, -1307780222870847083, 782325573976058616, -466393479528723526, 174584775915853027, -76461534295292341, 16493950936678582, -5481281688546819], [59418569180970775, -5226852994856502950, 5270338292583504165, -15299497235328621900, 21003963276182506660, -21771993760224740470, 11856118418058363915, -6793193349504836855, 2179375478325730279, -2469198487594261567, 1456783386223745044, -918061503999498391, 335017774059801892, -155422622027191961, 32209452556198329, -11668286039317543], [1667167131638041055, -8819030598088243120, 11522918100224582795, -24876887445936951080, 32902654497697219800, -31784433905471092610, 17797250626139187779, -9848220683260194529, 3462410165728884427, -3646287371621077981, 2171662124721910708, -1324081568271118439, 490255203026234886, -220693813391828059, 46657645630438849, -16296167766296901], [-1025213227739747135, 7973236770827366535, -8417551544734639360, 20842243045981534410, -29120858031490839590, 30431971572347844100, -16816185325336642299, 9585093068819660548, -3032211154151816061, 3445236405584454006, -2038073676823909444, 1289205279920317419, -470575312000685073, 219284175557671186, -45453688208119129, 16576781827677814], [3492178872565443195, -18197077383887239845, 21980961042064417270, -48322167102593217550, 64110835668533354210, -62595008084751532400, 34610408690995495111, -19234203982822940782, 6742540241983255677, -7143632052250437628, 4236554416589668948, -2590293343054165503, 955931937354509231, -431347940936808556, 90930749048576029, -31742657223153564]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 16, 'label': '847.2.f.w', 'level': 847, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3388, 'analytic_conductor': 6.763329051202448, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 5, 'char_parity': 1, 'char_values': [847, 5, [122, 365], [5, 2]], 'conrey_index': 148, 'cusp_dim': 304, 'dim': 216, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3, 13], 'hecke_orbit_code': 343630938959, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 12, 12, 16, 16, 16, 24, 24], 'label': '847.2.f', 'level': 847, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 11], 'level_radical': 77, 'mf_dim': 400, 'mf_new_dim': 216, 'num_forms': 26, 'prim_orbit_index': 3, 'relative_dim': 54, 'sturm_bound': 176, 'trace_bound': 7, 'trace_display': [4, 8, 4, 2], 'traces': [216, 4, 8, -52, 4, -6, 2, 2, -44, 16, 0, -36, 2, -3, 22, -74, 16, -15, -10, -14, -12, 0, -40, 14, -66, 10, 26, -11, 6, -12, 28, 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12, 0, -1004, -98, 322, 370, -177, -184, -20, 110, 421, 284, 0, -28, -164, 196, -152, 8, -32, 142, -40, -156, 36, 0, -486, 132, 176, 6, 16, 30, -54, 176, 246, 268, 0, 32, 251, 16, 0, 394, 224, -10, -12, -36, 104, 0, 1108, 168, 181, 34, 404, 100, 154, 16, 398, 8, 0, 208, -40, 368, 376, 540, 12, 194, -165, 96, 114, 0, -1572, 92, 144, 214, 102, 220, -134, 224, 140, 236, 0, 2272, 394, -10, -344, 68, 161, -158, 174, -334, -648, 0, -44, 30, 112, 66, -238, -332, -174, 76, 550, 40, 0, -80, -74, -256, -7, 242, -108, 32, -91, 130, -236], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 534651
{'conductor': 11, 'degree': 4, 'multiplicity': 2, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '847.2.f.w', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '77.2.f.b', 'target_level': 77, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 534652
{'conductor': 77, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '847.2.f.w', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '539.2.f.e', 'target_level': 539, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '77.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 534653
{'conductor': 77, 'degree': 8, 'multiplicity': 4, 'order': 30, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '847.2.f.w', 'source_level': 847, 'target_char_orbit': 17, 'target_dim': 32, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '539.2.q.f', 'target_level': 539, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '77.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 534654
{'conductor': 77, 'degree': 8, 'multiplicity': 4, 'order': 15, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '847.2.f.w', 'source_level': 847, 'target_char_orbit': 17, 'target_dim': 32, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '539.2.q.g', 'target_level': 539, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '77.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 534655
{'conductor': 33, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '847.2.f.w', 'source_level': 847, 'target_char_orbit': 13, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '693.2.m.i', 'target_level': 693, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '33.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 534656
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '847.2.f.w', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '847.2.a.o', 'target_level': 847, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 534657
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '847.2.f.w', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '847.2.a.p', 'target_level': 847, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 534658
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '847.2.f.w', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '847.2.f.v', 'target_level': 847, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 534659
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '847.2.f.w', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '847.2.f.v', 'target_level': 847, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 534660
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '847.2.f.w', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '847.2.f.w', 'target_level': 847, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 534661
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '847.2.f.w', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '847.2.f.w', 'target_level': 847, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 534662
{'conductor': 11, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '847.2.f.w', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '847.2.f.x', 'target_level': 847, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 534663
{'conductor': 77, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '847.2.f.w', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '5929.2.a.bs', 'target_level': 5929, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '77.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 534664
{'conductor': 77, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '847.2.f.w', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '5929.2.a.bt', 'target_level': 5929, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '77.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 534665
{'conductor': 33, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '847.2.f.w', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 72, 'target_is_minimal': False, 'target_label': '7623.2.a.ct', 'target_level': 7623, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '33.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 534666
{'conductor': 33, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '847.2.f.w', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 75, 'target_is_minimal': False, 'target_label': '7623.2.a.cw', 'target_level': 7623, 'twist_class_label': '77.2.f.b', 'twist_class_level': 77, 'twisting_char_label': '33.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1404900
{'charpoly_factorization': [[[25, -50, 450, 325, 275, -200, 1085, -975, 840, -385, 265, -70, 31, -3, 4, -2, 1], 1]], 'hecke_orbit_code': 99079535433089871, 'p': 2}
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id: 1404901
{'charpoly_factorization': [[[256, -1408, 3584, -2464, 32304, 11160, 18112, 10062, 6213, 1762, 682, 120, 104, 26, 9, 2, 1], 1]], 'hecke_orbit_code': 99079535433089871, 'p': 3}
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id: 1404902
{'charpoly_factorization': [[[256, 6272, 362496, 552096, 376176, 106216, 46896, 37606, 30811, 15831, 6954, 2207, 729, 169, 34, 5, 1], 1]], 'hecke_orbit_code': 99079535433089871, 'p': 5}
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id: 1404903
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 4]], 'hecke_orbit_code': 99079535433089871, 'p': 7}
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id: 1404904
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 99079535433089871, 'p': 11}
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id: 1404905
{'charpoly_factorization': [[[188897536, -159320448, 99691904, -52221664, 27560624, -10037080, 3693312, -1416018, 648843, -254273, 84482, -21415, 4689, -829, 124, -13, 1], 1]], 'hecke_orbit_code': 99079535433089871, 'p': 13}
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id: 1404906
{'charpoly_factorization': [[[2611456, -2805376, 4713664, -4477152, 4294016, -3113528, 2089084, -1124282, 544161, -196528, 56981, -9514, 529, 38, 31, -10, 1], 1]], 'hecke_orbit_code': 99079535433089871, 'p': 17}
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id: 1404907
{'charpoly_factorization': [[[62726400, 181526400, 257823360, 228926880, 144529936, 69793304, 27430944, 8892650, 2420825, 515974, 82511, 7576, 1735, 180, 79, 6, 1], 1]], 'hecke_orbit_code': 99079535433089871, 'p': 19}
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id: 1404908
{'charpoly_factorization': [[[859, 1310, -1702, -3298, -765, 342, 40, -16, 1], 2]], 'hecke_orbit_code': 99079535433089871, 'p': 23}
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id: 1404909
{'charpoly_factorization': [[[245025, -1195425, 2152935, 2136255, 10325086, 8590347, 10666126, 4586485, 2739845, 291482, 82209, 17502, 1575, -85, 46, 12, 1], 1]], 'hecke_orbit_code': 99079535433089871, 'p': 29}
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id: 1404910
{'charpoly_factorization': [[[2629638400, -4369056000, 6678904000, -3939299200, 923054000, 362769600, 183376060, 941940, 20979965, -537645, 453895, -14565, 5656, 113, 49, 2, 1], 1]], 'hecke_orbit_code': 99079535433089871, 'p': 31}
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id: 1404911
{'charpoly_factorization': [[[212521, 1975385, 8056341, 15043572, 14369799, 6004474, 5541351, -118072, 1366346, -265048, 91469, -6537, 3181, 157, 74, 11, 1], 1]], 'hecke_orbit_code': 99079535433089871, 'p': 37}
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id: 1404912
{'charpoly_factorization': [[[13424896, 24270336, 145441344, -5767168, 123130896, -107904512, 56903044, -18483208, 8667241, -1989792, 306136, -20556, 1414, -448, 171, -20, 1], 1]], 'hecke_orbit_code': 99079535433089871, 'p': 41}
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id: 1404913
{'charpoly_factorization': [[[-971, -8740, -10617, 812, 2780, -268, -105, 4, 1], 2]], 'hecke_orbit_code': 99079535433089871, 'p': 43}
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id: 1404914
{'charpoly_factorization': [[[5345713926400, -1668766860800, 639124689600, -105139787200, 27128282800, -2446831600, 848585660, -4516400, 23983845, -780130, 611215, -16525, 4216, -33, 99, -7, 1], 1]], 'hecke_orbit_code': 99079535433089871, 'p': 47}
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id: 1404915
{'charpoly_factorization': [[[310840815961, 996202523641, 1408190413695, 882770812820, 387058458185, 123582397538, 31280399983, 6387066890, 1110854690, 162652570, 20809143, 2203443, 193845, 14345, 910, 41, 1], 1]], 'hecke_orbit_code': 99079535433089871, 'p': 53}
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id: 1404916
{'charpoly_factorization': [[[187142400, 67305600, 1063477440, -1600185120, 821562016, 403356008, 62108636, -21878830, 7204335, 1524973, 746999, 116463, 20940, 2385, 261, 18, 1], 1]], 'hecke_orbit_code': 99079535433089871, 'p': 59}
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id: 1404917
{'charpoly_factorization': [[[253446400, 103161600, 522622400, -95698400, 312424800, -170370200, 124541660, -41042490, 8347955, 1495425, 111525, -64265, 13666, -237, 49, 12, 1], 1]], 'hecke_orbit_code': 99079535433089871, 'p': 61}
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id: 1404918
{'charpoly_factorization': [[[-27395, -35255, 5380, 12660, -255, -1160, -16, 19, 1], 2]], 'hecke_orbit_code': 99079535433089871, 'p': 67}
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id: 1404919
{'charpoly_factorization': [[[379119841, -5241690555, 27738164236, -236031712, 8383803429, 1648735316, 1131319551, 198515522, 61336601, 8435708, 2319974, 19407, 36886, 363, -71, -1, 1], 1]], 'hecke_orbit_code': 99079535433089871, 'p': 71}
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id: 1404920
{'charpoly_factorization': [[[105069332736, -20164349952, 210356456256, 191870351904, 71355927136, -50019021976, 21402049956, -5961358986, 1325383791, -241767101, 36750549, -4541217, 446554, -33359, 1779, -60, 1], 1]], 'hecke_orbit_code': 99079535433089871, 'p': 73}
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id: 1404921
{'charpoly_factorization': [[[15858514175625, 7456312153125, 4384437555375, 2016821481000, 731879278525, 191728223750, 42142869675, 7384835000, 1114677650, 134845000, 12623435, 785875, 30685, 545, 110, 15, 1], 1]], 'hecke_orbit_code': 99079535433089871, 'p': 79}
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id: 1404922
{'charpoly_factorization': [[[756470016, -24423552, 68328576, -74312736, 368812816, -423580536, 324464696, -174952686, 70918251, -21734761, 5004829, -831987, 95574, -7179, 389, -20, 1], 1]], 'hecke_orbit_code': 99079535433089871, 'p': 83}
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id: 1404923
{'charpoly_factorization': [[[952400, -1415520, 512284, 45228, -34845, 2150, 320, -37, 1], 2]], 'hecke_orbit_code': 99079535433089871, 'p': 89}
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id: 1404924
{'charpoly_factorization': [[[4647025244416, 3624380307584, 2126850982464, 782136061408, 267254506816, 61267261592, 17527266444, 1796745888, 323731821, 38191377, 3805586, 214711, 49999, 6063, 636, 35, 1], 1]], 'hecke_orbit_code': 99079535433089871, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 23, 'label': '847.2.f.w', 'level': 847, 'portrait': 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Raw1JEMIp/AEwijmZ/SzE1mLHdCOgPBMPVZ6Qs2TWqW2prj5xQ1P2DTDGybj9k4O2TDbMSm2YhtGw0XbFJctt2nrpocOT7BV58MeHh/yuPHEjLV5ZtuavO2Gw11Ncv+Y1McOe1x6nzG2RzcBxcN112xwH969wrb5yY5tTDFueUaS22f5bZkpZvR6Wf0Ith/ZIlnTrQve3z/2ZcfOXFm57FT575ww2u/Nb771k8835D4G93+XjP48kqbYWzwFL9018MHb/ypX/+o/Labjt74795+yltc2cTS6iRL7TqL7YClVY+ltmC5nbHcTlhazTi7CoeWBPNzq/zsdy/x4j0NTpyb4fT5JqcXPc4tGc4uppxcyDjfTZmaGfKyq3q85FIIZJ1QhZxbrnFm0ePssqAfQZpqaoGmWcuYnkzRwLGzKZ0e7Njo06xHGCNABPQGmgs2RSytemCsFFntQZSCwbDcjtm6wac7UAhlEDpiouZzweYhq33BsdMemfaYnZC0aoLQhzQV9CPJ2WXJmSXDuZWUMByCn3LD5T1uvEIwP1FnaWWCE+dCTi/CucWUc8spp5bh0JLhRZcv8nPfvcKmqQmOn53h7FKdhZWAxbZkeTVjpZOw3MlY7moWOpITHWgvr/Ib/78o/a43Bvd4Mz+svcYV90ihfzLTPmFt4vmGyrPe/t4y+Ac+/Be87IYX8h/+/b//hY984rZ/97sfue2ip491dh463Zc3Xtnnws2aNPPQWoKRaGMfQQICIQyeMAQSTi/Vuf+g5Krdy1y6fUijBr4nCXxFEHg065KGL+n3fPYdrfHFhwOOnY/opAn7TkRsnF3mzS9b4aqLurzo0jZHF1MW+4JGOOTwaUO70+TKCyWrw4y9RxWthsdTx+DiLYZhnDHMAjwvYboFz5wIUV6GL1M8HwaR5MWX9hn0JVddlNEZZBw73WLXJkWzEbMaGTZM9VnpdfjYbfDokYzHjwzZsWWJqy/pMD0T86Yburz9FYbdm1pkyRRHTk1y6KTPibOak+cTTp7POHRecHw14QV7FvjZ7+6ycWqKE2dnOLfUYGE1YKktWWlntLsJq72M1Z5hpSc411esdBKuv2yJH3nreVn32Ll47viuQT+7PmheWK83pr/06P2f4nd+/8+eb8ise/t7yeB/+tG/5Jort6vb7973n48cP/sfH3rymDqzGLMYeZwdaK7ecY5fe895rt3d4OzyNEurTZbbNZY7Psttj5UurLQzVjopy92UxTacWBF49SEvvWKZb3tFzK4NTVZ7E5xfrrOwHLDYFiy3rURY6Wo6A00nMvSHKbMTCRds1IAg9A0nz/sIGbJjg2LXFsOWDX3OrUQ8dqDFCy82NOorPHlwhlYzJo59Zqc1gyFcdsGQj9w2xSXbU6LIMDcpSbIBrVrIU0eH1P0m1+xJefxwzLmlgK2zIbs2wwWbYpRKOLkIgW8QwrBjY8p0S9IdhPT6Pp2+z3JHsbwKS23NcjtjsZ1xtg1Lw4wLtvb4tlcu8tJLPWr+BGcWJ1hcqbG46rHcEay0NavdhJVuxmrXsNSDsz3F2dWU6y85y3vfs8iebQ2WOxOsdGp0B1Oo2kVZ2Nj0C9304p+ryZPZTa/6lucbOmtuf68Avm//fuq1Wv3UqZMXPPLoU+86dPTUzz9z4CRRKukOBKsDwfmB5Ew34UUXnuNX37PM1RfWOb8yxdJqk5WOBflKx2OlA+2uZrWbstJNWe4YzrUFp3sGRI+33dTmTS/WXLi5Rhw3WGnXWO0FtLuKlZ6g2xcMI0OcGrIMlDSEPtRDw9SEYcNMgucPOXQm5omDITpt8obrYzx/lYf2TrJzM3zu/pSbrgw53x5Q8xRpljAzDWni4/kpS0sNXnZth8/d22LXZnjwQIRPg9e/WJOKAU8cyjhysoYnAzZOe0w3BfVQEAQCJSDVECeGYQzdvmG1p+n2Nat9zVLPMMgydmzr86aXtHnbjTHoFkurk5xfrlu93fFYacNqN6PdS1ntWuZe7sGZrmKhk/GiPed473vOc/mOOkurk6x2G7R7IZ2eT7sr8BvbCBubfnrztsv+fNu2rceHw+Hg4ov3PN9QKm9/bwB+5MhB5ufng4MHD37vgQMH3vfgQ4+KpeWeHAw1vaGmNzR0hhbkCwPJmU7Ciy8+z6/8wBLXXlRjcbUAechqN2Cl67HaFbS7hnYvY7Wb0u5pVnqG813BmbZmeqrPN7yoyw2XpuzYqJio+3S6NUJfAoo4lWgt0Ab6Q0BopltDDpwyaBNz64NNon6di7YGvPSqPole5c6Hp7jmYp8DZ3u0VyZ4yVV9vvRQyMYZw95jhn/x1g57j4ZsnJF88WHFSy9TLPc7HD4xwzV7Yu58YkAaNbjh8oDd24cM0h63PKQgExw66THR8PAE9AcSbQSZNiQpIDVeoGn3DM1WwvbNETde1ucbXpgy26xxbnmSpdU6Kx17bFY6gnYP2t2Udi+l3cto9w3LfcnZrmCxm3L9JQv8wg8scPWuGgurk7R7DTq9kE7fp9v36PYVnb4gyWp698VXmV0X7v6RCy+86EOLiwvxJZf8/QD53wuAZ2ki42jw5ofu/9xF7W723vsfeMgfRjCMDf1BRn+Y0XdA3i6YvJ1yw2Xn+aUfWOCFuwNWO5MsrLRo92qsdgNWex7trqLdh27P0OmndHoZvYGm3Tcs9AQLPUiyiKsvHrBpJqPXN7zxJRE7N2nSTOJJQ5zAHY/VOH6+xubplCcP1UA3uHSb4tpLNGGtz0MH+iwsNrliZ5OJqRXufdznuotrLPVXWVmZYNMmw/17Fd/56h4P7PXYtsFnsddmZXmGay/rc++TGTP1Ka64qMf5dpv7n56i7jV50SWGPRcMQfZ47Ihgw0zCuYWEOx/zGSYKKSHThp2bY77hJTHdnmLLtObaiyGOGyy3Gyy3Q1Z7Pp2+ot2TdHrQ6Wd0ehndfkanr1ntG5YHklMdQXsQ8dI9C/zc96/woovtxdHu1un2QzoDC+7eQNEdSHoDQbef0RukXHPNi5JMqx9719u/+WCzWf+MH/j6+cbW857JjIZ94njw3SeOPvhrC2f3z5w5u0qrIVHSBooYAxh7KQqNEAYpDEoalPR4YP9GfvL9Hm996TLf/upldm2NObs0QRjUqYcBjdCnWffo1iWtgc9k06M/zOgNMjZGmkFk6A5DlhdqnDxhiFPNqbMpYWgAQaAMnhT0BwqBT9r3eMFOwe4thgu29omyLp9/QPHMwWle98KQay9b4cOfNwSiwc6tfR6/V7F1SjE30aem6sSJz/kuNGse2zYKHn0m5to9dV5xzSJ/ePOAwG/x2usNftjny/fHfO6+Jk8fqXPhlgY7N2fMT8fsmku4cmeGUhpP2ePTCEPmp0LixKfbD3jygE9v6NEfKHpDSW8AvaGh17ffvTvI6A0MnYFhdQALfcW5FUNjss2PvmGBb3lpxNUXNjmzOEG7V6PbD+n2rePTHyp6A0l/KBgMDVECSQJ3fuUBvzkx82sbNt6//KpXXP9vu93+H7Zajf97AR7HfYTg+08fvfeXDu/98kzU61IPra8tLKLtRxQCITIEIIW2ABcGJTMCKXn8wDyP7G9y4PR53npjjxsvHzLVmmC53aDZqTExCOj1Pbr5yR4MPfqRxzAyDGNNnBiSxJBm9h6nAUaDVALfE9QCwVRLMN2CTXOabRv7zE23+cJDcNcjPlJP8roX+rzg0i53P50QDyd46QsE7cGA80tNbtijmZvqU/dChqlioZOgtOAFezwarYiH99V4+bWTvOTqLg/vU2AmeeHlAd/3Tct86dGYLz7QZO/xGhfMKzbN1JluNZhsQT0E3zMoCdrA3iOCLBMkqSBOIUqw3zHKGESaYaTpDzX9SNMbQCeChZ7kfBciPeQ11yzz5hvb/JPXatJ0grOLTTr9Gr1+QHfg0xsUwJb0IsFgYOhHmuEwZRhrBlHGueUzfOTjn58ZRNl/e8s3vsLrdvvvfz5B/rwBPImWkCL9vsVTd/zS+eNf2iBNn2YjQEbWrRAGKstPIYRACFBSoKRGKYOnDL7S1H3BYr/OR2/bxpcf6XDTlau8+zWrXLmrx+xUg6XVBt1BSH/g58BW9h4LokSSpII0tUu9rd2yQaXnQS2ARl0z00rYuqFPSo8DpxI+dmeNwyeaTIV1rrvc44arOty/v82tX53g+otrXLC5z0duEygRMtFKWO1FaANKwPxEn043QKd13nzTeT76uQa7z9V40/V94mSJO5+YJclqvPjyDbzpug4Xb2/z5Yf7PH6iwWNHArbNSGYmBI1QEPj2IpQChDBoA1obkjS/WBNDlNgLeRjDIIbuULASCZa7ILwh11yyyru/YZWbLs+Ynaiz0mmUkqQ39OkN8pUgkgyGgv5Q0C8unGHGMNIMYsvkmVGcOtvhg3/2xQ2dIb/0jm9+mTl9bvkDWzbO/N8B8Df90G/z2d/1WT7x8e+Rpv/e/sLTc77s0Wo0kMNs9JcFObAFUkik9FAqQymRL88a3zOEnqHuCVaGiqX2NB+/o8l9T/Z46dWrvPu1q1yzu81sVidNQ/rDGr2BzyDyiBNFkkrSTJJpgTbCZkGFIQw0jVpKGMQEfsSppYibH5QcPBlw5OQ0Sofs3hxw2S7FCy/toMIFnjjUYutUgysuhE3zKyx3JrhyqyTVhi88EBL1JVPNlNe/eMhn7kw4frbFJRf5nFkd8tRhn+0bp7l61wJ3P97l3qcEURxw6a4ZLt0ecum2LofOLHPwFDzwTIMDh5s0PEHoSZqhoeaDlHbNM8ZerGkGcQpxJuhFgs5Q0Ekg1inaDHnRxR3e/Q0dbroyY/NMyHA4yVK7RrcX0hsG9AcevaGVJINIMBhKBpHtGx1GmQV4rHP2NgxjwyCGKFOcO93hf37kjg337T/33o1ztfSG777tw/d+4EsI/+f+8QJ8+cSvMrM95Z01809uuvSp3/yOm/ZP1VSDZq2BFLHFtDA5sEEKg5QSJSWeEiil8JTAUxpPZfieIPA0gW8IfUMjyJiqCbqRz0pnmk/cNcFtjw3ZON3nXa9sc+n2IcNBjyt2GbZvUkSJT5ZVaX6BQUqN72UcO2c4clawOtB8+u4GpxanMbHPdE2xZdZjxyaPC7fCFbs7aLnI73+myfLyJNdf6nHF7jZffkwgUp8N05JmI6WfBMg8GaW8gPZQcG5ZcLlp8MoXdrnn4Tpb5gKuv2KGf/ZNi3zoc10e2NekN/RZWm2xa0udSzb3efGeLt/68i6nl5f59N0hS/2QY2d8Tp0K8JVASolAoI0h05BoQ5ZqpmcTrrq8TxQlXLo94h2vjNgwqZhphSRJjTMLNfqDgH5kV7lBCWxpwR0JbOCvS3DbVcECO4oN/RgGsaAXC3ra4+jJNsfO3Tb3sz8S/Obt/2tDgvebf/qvf/H9/MZPff8/PoA/8div8pn9LxVnDt32zoeeOvYH/c6TjckWJIlHkinyULIEuBQGIaxLoCQlyD2VP3oC38sIPEHga2q+oZ4YGrFhspYxXRf0Y0k3bnLkZJNf+dMZ0CkiTXnhVX12bYpJU9BGY4yVRVIIpBJ4fsC+4wF7D9Zo1jxagWSuIZiflWyY8dgyr9ixOeOSHatkYonf+uQEx45Pcf0en0t3ZgzSLl99ImSq7jM7aZhqxTTqVgppLWkPFcs9w1I7o92r87IrVnlwb59njiumJmq8+PIpfuDNS/z2p+Dhg016A8Nq1+Pc8gSb5hpsmB6yY3bIv39nn4lGm8ePwL4TEt83KGUQQtujmcfoaQo7N2W89MqULPFJ0hBjGgxjn7OLAYPIrmjDWJXybRALhpFgGFvWjmLL2lGsiXLWttKnuEM/EfRjQScWrCaCSCdkvQG33HZ06vgJ7w8S8Qvpr/+HjR/fOffb5t+951/84wH4D/38n/H9v7NbfctVD7ztLw+e/fBt9x6s9aMmF2/vctmOHqYwSUpgW4fEOiUGpZTV3J7MgS0IfEXkS6JYE8YZUWKoJ5oo0cSxYSKFKNFEKcSpYJhIoiwkyWo8c7DJY89AZgwW2lYb+xICZWs+WiFcsRkm6jDZlEy3FLNTHhtm4IJNEZvnV0nMMr/1yUkOHZ7k2gsVF26T7N62wu1PpZxbmuSFuyTTE5paMCCUIUYJ0kwijCHNYlZ6Nc4t+Vx7aZ0X7Oly98M1Nk4LGrUW1+7R/OjblvjNT2meOtVitadZ7SoWVjzmpppMT9SZnphkopEw30zYcW1M6Kf4XopSGdIGMRjsRZUkivMLHkmqSFJFnCiiJH+MJVEiiWLJMJZEsbABaiyIYmNBnWiiKHM0vSFKrK4fJoJBDvBOIliJJf04gWGfK3b2+MG3DFnuPNzop/rDDz/S0//2h7Z/8j3f8ltZc8u//IcP8J/6bx9lphUqlT7zjk/d0fnD+x/s1wzbIIswQvFzP7TK5dt6FthSI/O7UjoHt8H3DL5S9tGTBL6wJ8EXRIEiTizQk8QQp/YkJKlzzyDNDFmmyTRWb2tKcNvgFTwJvg+hJ6iFgkYoaTYUkw3J9KRgw0zKjk19Ws1VPnlPzJ1PzLC6OMFVFyh2bPa5ePuQTKzyhQcaNH2P+WlFqzHkiUPw9GGPK7cb+pHi6osTrtptOHsmY2ElYDBs8Ibrunzl8QEHTimadUkYTHDlhZqf+54l7nhqwGfumGOpY9ixIWOl7TE1oZhs+rQaPs26oRZqwkATehmeMvlxtOfAGGzCSgtSLUkzQZoKklQSp4IkkUSJdV7iRBAnhjiGKMmIE03sEEeUFPfcpcnB3UsEnUSymsIwipFJj2t2rvCzP7TMW25MSVOfYfRkLVXqjxcONf5pxqa/OHvwA9mmi77vHzbAm56W7dX2tx8/evp39u47XqtNNImyDJ2G/PU9PnGkeMerO7zz1T2mJjK8foaSGZ7K8iAyI/A8fM8jjBVDP2cbXxIHgjgR9uQkiiSFOJHWQUgr2y/NNFlm3YXMmNJaBxvEWhlkZU/gCcJAUgslzbpgomGYamk2zkTMT3dJzSof/4rkQ5+bZUOtxlUXCC7Y7LNzi2bH5hU++VXD8nKNSzcppieg1Ug4d1RyfiUk2AVRIpiflExNwYEjhpWO5uxijYt31nj1C7vcfFeN2RaEQYCSU1y5W/CDbzqPL8/z13dP8/SpGhs7CRumUiabilZd0ahL6qFHGEDog+dZh0kKkMIBOfbCzjRkmSDNyIEOSWaIU0iSzJJCoomLx0QTJxClhStjwT1IBcNE0EsEq6mgFxuSKGIy7PKu1y/yrlf3+YZrNd1ek2ESkiQBUXy8ht/6A+HXPUTwZ1ie+YcJ8Pf/4adItf6eO796+FcPHzoxsbmp6KeGTurRl4pUenzhAZ+vPlXjzPIy/+Jb+0xPxNTCBp1ehudl+J6f3zNi3yNIFFEiiX2bSreMIywT5ayUppBkkGXWSdDaBlxam6KHMwe3BbhSAk8JfM8CpBZCo6Zp1VOmWinzUwPmple555mYP761zr4jU+yc9Nm9CbZtCti2ES65oEM/7XD/3gnqymd+WjHVgqlWxPRkShB4CGEvrkEUsNxJWO0b2r2U8ysBF2xq8ZJLz3PrA332nZqgESb4KkCISXZvVXzXaxd50SXn+eNbW9z/5BRLPY8NEylTjZRGTVKvKUJfEPoS37exilLk9qFFucH2sGpNCfQ00/nqlluLqSbNLLjTBOLUVPfEujLDHNj9RNBNBd0UhsMUnQyYbXT54bcv8e+/o0+j5tPptojikDj1iROfKPYYrp6cUGH4W82ZFwT7H/+rD+25+u+uSOvvDODLK22UUt//ex/8xC+dOHFydiIURKnJta4mlIKu9BkqxerQ41c/FrD30ApvfnmPV17TZeNcTLdbZxAFBH5AGNiDEybW3osDC/AkkcSpXXaTNPe0M3Lrj5y5JdpQgdsmKcsA1lM2YRL4hlqgqddSWrWU6YmIzXMdzrX7vO/TPl94cIbllSYXzQsu2CDYuiFg2wbBri1DvGCVj97pcfhEkz0bJdMtyWQzQ8qIUwuG0JNIAcYI4sRjx4YOD5DR6StWOoZzy3X2bKvxra9s8xdfDjh6LsT3EoTw0aZJkkpeuGuFHd/R4QsP9/nIF2Z46GiTrdOCuWZGs5ZRCwShLwh8ie8JPIUNnKUoazIM9iLTBuu0ZBbwBcjTzEo6C3aIM1vrEhfJo1QwSKGbSroJDBJN1o/YNtfhFdeu8paX93njdRm+aLC6WiNOfOIkIE484sQjSnyr+btnZlV993svfcHb1HDQfn+t/nczcevvBODLK22CwP9nN3/+zl96+NGnNnjKUAsEQhqkBC8DTxoCKeimkr6o0058Pnp7jTse73LtpR2+47V9vvH6NnOTAf1hjUEUEPp+zgReGSilqSLJJGkqSTJBmkqyTJBpUWltLUqXBlMEs6BUrvGVJvA1YZBRD1Na9Yi5qR6DZMCXnzB87PZJ7n9yiunA58qths0zko2zAVvmJds2xly4dYXHjw749FfmmVQe85OCiaZgopHQ7md87qs1WoFBCAusQeTx5pdGfPY+WxPT7mnOr3hs29DirTf2uP+ZLnsPBDTDNC9Z8NG6wTC2Wv+7Xt1mz+bzfPSODvc+PcXxlTqbJgSTNUMj0NQ8TeBjrVVpL2SZW69F+ZHOpZrW1QqX5kC3BAFJJkiyHNiZYJgK+qmgm0EUa9I4plnv8dbXrfAdr+1w7Z6MjTMeg0GLTi8gTgOi2CNJLbjjVJHEHlFix9+dPvHMhlrj3l/adclNetBvf7De+PqD/OsK8JWVVVbbPQR89y1fvOu/f+azX5pdXVkl9BVK2hNsU+yWOX0JgYSaEvSUz8BXnOwEnL6vwX1P9PiLK7u84zV9Xv/SVWamAuIoJMqXuiT1rMWYKtJMkWZ5wiarAK5Nzty6qikTIv8c0tZxeJ4m8DPCIKEexrTqAzIGfOlhyZ/eNsWTRyYRScjOacPmKcPclGJ+JmDTnGTLfMIFmzqcWOjyu59pkkZ1tm0TTLU8Jpow0UgQfkxn0GSqZRBCYAwkqWQmVKQ6pZsEdPsZKx3FqYU6l1/Y4oe+eZX3/lnIsYUmnkryC8MjTWsMY8mm2ZAXXtThqgt7PHXsFB+7vc6tD01xul2nGSpaATR9Q+AZfGXJRMlckjnnSwNG24su04LMQJoJ659ngjizSaJBJhhkMEgNaZqik4jZ2oA3vGaVd72mw01XpkzWPeKkyUrb1sMkiV+BOs2Tanlizb4n6Q9Wefrx2zekWv73Cy+6Pl1dOv1HXtCk2fr6Af3rCvDBYMDMVOstd3/1wd/+7Oe/NNHrtanXPDJtUFLkRVKgcqniSfClIcgENWUPZF+F9FOf81GNv76/yZ1P9XnxF3v8y7d3ueyCDhumFBMNzy57qU+aViDPCoBr2+FjDHmfZgFuW8ti0/waz0sJgxRfxXQGCQudhN/4ZI0j56d5eO8URgfM1gUb5gxzk4LZCcXslM/GWcmm2ZSt831mp1b4wiOah56e4qptgumWpNWQTDQ0zXqM8CPC0MNT9u8bA1kmGUQeg2FCqgXdgabbMyx3fM4uTXDDJT1ecvkqH/1ijfqywpOJBaTxSLOAOLE9nnNTNV60u8eLLurxwCtOc2xB8se3TnF+tcHJpZBASZq+IChkmLSBZ0nkhVTBMnlqBKmGRAuiDIYpxNpAlkKaIFXElukBV+2w5+O6yzIm6h5p2qTdDYmSgDRn6yS14E4LWzKXk0mm8kdBlin6q10effD22SzzfnvXRdeuDIeDT389Mfl1A/j+/QfYvHmT+vM///OLnnp6/0Q86NCse+VyJ6VBSoHMmweUAj81JFLgZYYggzAzNJRgoAR9L2SQ+SzFdW59aJJ7nh7QDCP+6RvbbJtN2bllwA1XdPGEbRETwh5Mm5W0tdLGOMyNQUiDEtYzN6QgU546InnwGY+b72/x1PEWcdqg5Snm64aZpmG6YawPPuExM+kxOyXYNJOyZX7A5vkV7nwy4vdv3sDmKY/5CZhoKiaaglYjpR5G3LNfMYw9/KYFlTGCOJXUPMU1ewbc98SULXwaZKx2fBZXQ84tTvNDbzrHycUl7nt0Hl8CIkFDDiCrY3sDj+lWjamJJi/Z0+cVV/X5jlct8MwJzWfvr3H/M3X2H26SCo8oUvQThRKyLH+AIvDMcwJGk2qD0RpfZEwGMTUSXnJtj12bh2ybS3j36yPqgaRZ94njBu2uZWsLaD8HtLQrbP7cykfpxEhF/Y8gzRQr3S733nvPxNHj5y9681vero4dPZTt2Ln77w/An3nmaebnp4MHH3zwe+Mk+dXV1SUaDZ80tVV/VTbSgjuVApVCKg0qM3j5ReDnfnVNCRqZYKhhmPkMM59+VqPbzfjvH53GpAkb54dcfsGQ2cmUd7x6wAUbYpJE5HpbgsPcZepfaoQUfOKOOo8faiI8j2OnG5w616BWV0yGgqmmYaKmmahBqy6YbCgmWorplsfsFMxNpWycHbJ1Q4fMrPKJr0ww6DW5eJthoqFoNSStuqZVS/H9mC/cVyPqS/wNtnSskCjNuuINLx5w1yOaXiTpDTI6fY/VrsfZpQaX7Wrxjps6PPxUg2PLLZTUQJLrZZ8ks27SMJb0hh7tXkCr3qBZj7hs25DrLxly4nybo2dW8fyMxw57/MXtDYSyhWuMzx80GtBgDEmcsWNjyrtePWBuIuOSHYaNs5ClPlHcIk1t11SaeCSZl8dBlqlHYqIc3GkB7rzS0QJb5MaAIEk9eovLbNyc/Orjjz3c37Jlx4f279sb77nksr8fAD996iTLS4t7Tpw8+b6HH3pQKikJPJnXkhhkZsiKrKQL9Myyd5pBqk0OcEGQGWra0MgEiTbEmSDKJJGWxNon0bDQm+D2xzWGjL+6345swOj8XmTxcotMFBWJEqkUaeIhtYfvSVoh7Jo3NH1NI9Q0QmiEgmZd0qpbOTTZkkxPwOxkyvx0xJb5Lhkr/MZf1rj7iQ3snoXpRs7eDUmrntKoxzQbA+r1BqGSeQxig12tIUl8hgPBIMroRoreUNMdaNsy1ww4eW6Sl10e8aPvPMev/YXH8dUQITTGJOjMkKQ+cSIZRraMtTXwaNYCGvUajbBBLUxo1WNeeHFM4Cdcd3HKu1/Tx1NpmUwryiIqkNsVRmuJEJLQV0DAMPJYWvFs3U5WxDy5LMzZuYyDckAXiSQbG1VgLp6XHnzxPDM89NADMs3k+9qd/lfiaPjk1wOb/8cA//zn/go/8OpHjx582+FDB0Ut9DBGkEiduyb2nuWPVfrduilZNhq9F1VwmRak2lQ/01Yf2rsg1pLUSDLtkeiQLLe93FuZpRTgCWE1v4Ja3VDzDDWVEfoQelALDPVQUA8kjbqkUfMswJuCqZZmZiJldipiw0yPLRuW+P2bNR+5dSPbpxRzLc1EU9FqKJoNaNQzWvWEM0uaQ2dCaoG9oKGo9BMMY49dmzSb5oZ0hgGDoclZXLLa9WjVa7QaU7z7Nec5fOYsf/DprXjSw6DJdEaqDUnqEcWKQWyLovo1SWPoUQ996mFGu2tjjMDP8L0M38/wpG2UkDIryyJsY4lN64PIQS5o67zKUtu4JsskWktSXcU7Fqyjz9NMOK/H7imjIM/vWWbzGQ8/8pi46KL+23bt2nnoU5/61OCtb33r8wtw3/ODpcWFn1g4f+4n0jSSYSBJMxBCko4BXElNqkBlAk+bMhHj5X61TTxYkGe5dVXdTZVmzyvlrJcrykDJ1dxAnsmzgZUnNZ4kryEHXwlbauvb7GUtlNQCST1U1GuKVl3SahgmmxlTrZSZiYi56T4XbFzi/v0RH71jC9O1kI0tzURDWHDXJc2apllLaTUi7t8Hjz3T4KJ5U9azF2nzQaS47hLDxRcMeODJKfqRYTDM6A28HOQ+jVqdem2Kb3v5Mo/tP899ezeBUWidWSJIDWliynqSQeTRGBrqNUUt0ISBTxhkhJ7Ok2a2xLgog5DSlgYjDIJKz1XBuS0h1oUjpQv71bFiHdcqzWwpQJElzXIglz/LV+hsBNjuOYdhfyDPnz/3n1utZtBsNn4BiJ83gEfDvoyi4c987jMf/bftlbNB4HtobX3XTApUJkhzcGfSkCmBygyZ1PbgKIOXFWC2DbQ6Z28X4NoUmTeDzjNxRbLCGIOTeR9ZcYtUdRUD5BlLBX5ZtGWzf2GgqIWKeiho1AWtumGikTHZTJlqRcxODtgyv8J9+wb8zB9u5PjJKS6c00w1YKKuaNYVzRo0axn1WkLgD2kPDUoqfGUD7OJmT7gkSQMm6gn9VNPP66z7w4xuX9KuKxrdkFrYYuemhJ/73jb/5cOSr+7diEGhjSbLNGmWEqeaOFEMY8UglNQjRS2QhIEhDBShp/F96/d7yliAq3xFLcuTzWiDbp7aNzmJGF0A3c0xiDxJJPP3LKizzK629gIQOXmJUVBrm2nONGSpIdUanb8+euxkIL36j33v93yn3+v3f7rZaPyt0/l/a4BHww7GJL9wcO9d/7rfPlabbMk8G2aTC5mEVILUAi0FqbKMnUmDVqJi6czkgZPJD1qRVs9BnYPbaFOxdV4GWtwZA3guu/PA0koUJYWVRYo8LS/wPUkY2AFAtdCOZKiHhmZN02pkTDQSJlsxMxMDtsyvct8zff7Lh+bYd3yGHTPWYWnVJc2GtOxdNzRqGY1aQpLF/MkXW0il8KW1RUsGN8VS7vNdr1vhlodiunFIPwd4b6Do9hTt0KMWhIT+BJdsT/n571viP31IcO+TG9FGkmmbVk9SW2gWxZqoZstdw1BQ8wVhYDObgWfKjK2nNFLZeEjmJkAJ8CrlCeTHGptLKD57pgWmLFqz/rkuk2s5yMuVV4yszmXWtAR4XgTnvJek8NTew7Wbv3DHv3nzm14rllc6Pzkz/bebnvW3Bvj5M4cxRr/k+JGH64KIWqBs1V6afzGZFzFpC3alBZkUZJ4D6sygVSVJtMPQ9nn+qHMWMaYEN8WBH/tcVdltXmciqYqp8jpyC3CJ70tbvxEIaqGdedIIM5p1C+6JZszUxID5qTb3P9PnZz44w1PH5tg2LZhtOtKk5tGs2fqVei2lHsb4fsSppWl8ZVvsrC1XBZlZJklTxeZpQ5omdJJa3imjGQwzukNJva+oBT6BX8P3Jrl0W8rP/7MFfuoDcN/TG8i0tADPDEma5UyuiUJNLZYMA1VKMN8H37MSzdapGDyZ27cCGy+J6hi6pGFMngnWOauXq6ooCUjnQC7fd+VlRglerVlDbkWZQKarcoFhHHHX3Q/WL9698yVCyq+Jx68rwPc9/jmkGDaeeOTWIBq2CXybhi8CujTLQS3zK1g5XzSzQNfakHmUX3IU2MZhbeMwtqmY+1k+mxRVEZWUIKUowa1kVU9u5QnUfAgDTb1mqIdWPzfqCRONmKnmgLnpNg8dGPKf3j/NE8fm2TKlmG9qJuuCVk3SqCkadUG9Zi8Om+qPuW+voDcMqCnyi8xq8KIJIdPWHmvWFDdc0eX+pyboJ1amDKKM/kDRDRVhoAj8INfPU1y2XfPLP3CeH/89uHfvBhItSbTOm6WrHswokISBtuyd16b4+cVt7+QypZJxMs/yrgfyIilkCoBTZUGtTq8KuHSZHSWXnO4q7a7arF3Fc0fFGMHiUps/+rO/Dt751jc1PvKxz/a/89u+8e8e4OfPHWNietvUvkf/8ndNNni5FCmeUnnHO3lgmS9LSjhLjyCTWMYulzTQSqzP2g6gdQnsqimYXHuXJ0PkffgyB3deZKRKgIPKKwZ9DwIf2wkU5AVWYUY9lxetesRka8B0q8OjByP+0/uneezoBjZNecw3NJN1aNYEzbqiUVc0SvbOqIUprcaQOx8LWG3XmJ6u0uQFYHSuTZNMsWFW8ZoX9LjzQW27aPL+RgtySc2X1HwP3wvwvDpSai7bbvilHzjPj/+e4d59G0i0R5JXANqyV8vkYSLL6sLAk3heXoQlBcorjg3l5ysuwkKqiKIqjSohNH7XzqN24qVq5XVWa7M+sMv3sqImJm+3S1I63cHL9x888oH3fP873nPDoaOrF+3e+XcL8F7nNMP+wo8vLRz99kF/Cd/z0VojhUBoCywtIVV5EY+0AYdW1RWeaVG+LuRHVsqQXHMbMxpIjjN3jvQiI1dqb1lU0FW6u6gY9BS2PsMz+L5tLK4FmlqQUa+lNGoJzVpEqzFkZrLNw/sjfuL35nj08EY2TPlsaGRMNkwO7py9a5J6aNm/FqY0wphUR3TjEKEkfsHgpQYXObvlyZDEpxkMbblAXGO6APkwox9YBg8Die95+F6xAa3hyp2G977nHP/hdzT3PrORRHtEmSDOdM7iglqiCX1D4NveVS+PO2x/q13R7PHJu/KLR6cwq7ww3VhnDNwlCTnE5IK7AHthEmSZ/Z2ihLkkwbHCL2MkZ88t8cyBI9/+lXseORTFyU/9nTJ4d/U4zcltOx655w+uSoenCEMBJkPLvOvdWGmSaYPKBJkR1h7Uo0tYpdsoR6OZfEmrDphwmKLKShp3zSxY2w0qi+U279BReTDleQZfWWAHnimrB2t+luvmhHotYnqiz2Szy317U37y9+d45PBG5ic95usZkzVDKwd3vWbtxALc9TCjFqRMNGP2HjXc8XCTQEp8pfMgrvIoiuU7yRSp9njlCxMuurDHoeN15htUfY5RRn+Ys7Cn8Dy/zCMIYbhiB/zyDy7yU7+n+cpT8wyTOlEmiVNDI6/hDn0syL1i9dJlb6tUWbnCKSkcgAsH5M4yuQbkZhTgJbirlXe9ldmtz69Ir3quTfXaoNh/6AxfuO3Bq/7LT/zgjv2HTh7bs3vb1x/g3fYp/GBq59nj9/w66eJbFB2k75U+qZK51SdlKT2yzDootpPGLV9du6SNg9plhzUMYrklZ/AxcAuDVFW2VMl8fkrO3IGn8X1N6GvCIKUWpNTCmEYtYmayz0q3z11Pwi//6SYePzjHXA7uqbqhVRc0a6L0yq3zoi17Bxbg9TAizjKGgxo1ZS8yKcRIJV+RSLGBpme1vBcRxYZBIhyAa4IgI/A9fF/iKYWSfglwBFy9S/DL71nhv/9Zyr3PzHK6PcGwKZnKDK3UUMsnDoS+yb3/wkkxJXsXUqUAePl58w8tymPuBJ75SalWVuNocgfszopcEFgJcGNGdbu2NTHZCEYEvZU+J84sv+Wzt9ybveplL/g3R46ePrpr55avL8CHnSMkfv363sqTbxt2nqYW1tAmc/zQIutVeNo5uB35UQDcFEA3Il/anOdmVO+NsvaoKixOgh33ULB3UftinOFAtizW93Q+ZiIrwR0GObhneiysDPilP2nw6a/Os9ibZn5SMl/LwV2zuruRB5b1UNIITc7gVnvXwhiIue3RgJUkYDZkpB4bMbpC2eydx0To8epr+9y3L6abhEwm2naxx5ogsrXqgWcB7imDkj5C2gQNBi7dLvm1f9nhs/cN+IUPbuTk4jSDKY+pQNBKNY0UwsSOXg6UHWjkF4GmFGUQXDy6gbp7YQpR9opULF6eKwfsjjGgHalZ6XJXqxfSZZ0AtSzj9fjqwwfZvGnT21qt5p90eoOjX1cGT+Meym9cvHT6tn81bD9Mo2bITGrLUgswZ5altZsEUM5zUyUGSj9bV1kzPaK5xShru7IkP9AFsxTp5sIFUAXAlcGTFti2tzPv7/QzAj+lFiSEQUKrPsDz+tz5WMYHPjfBzXdvINYTbJgQzNWsLLEWYOGTq/wucuZ22TvB8yLueXqKfuyxuVF8nnEGL6w0SZIqar7iJZcNSLUF+CARDAs3JLYj13yvsDhVDkSbfbRgE8xNCb79VT1a4Wk++LkBdz09y9mkTr8mmUgNTc9YkHt5HKJMHpeYHOTFMRRV7bgEScXirmRxT0nJ5oznKJymiuLcFsxdJO/MGKg1OY4qOZtpQWo8bv3K07zwBZf8q3d+842PtLv9A5N/g5FwXxPg2fAZouWP4QXTW2S07xWBPIuq1cmyhDSvTdBakildAn4E5Hm7WAXwnMWNKMFsnFT7KHM71oNrXwkzJk2KrJytGFSScvJVwdy+srUYoZ8QBAk1P6bRGBIEff70Vo9f+aMNHFqYwQ9rbGoJZsKMidDQDKGZd9jXQ5vtrOUJIVu/kuUrgZUni52MXhwQKEUgTRlg4nyV4gLP8tqNOPWp+0M2TQ1Y7bcYJKIczRD4Gt/PcptP5XansgAfCVxt5eNbbupx3eUL/PIfD/nIF+ZZTpv0Q5+mL5nwbA1O6EGgKJshvCLpk698spQqVQLIJZVRsbIem+Oc06r+rQT2Oq5LVnb+F6C2NUdaQ6Ih0R77Tnf41F1Pv+JMJ9pybrFz4KGnjvCiK3b9nwHcmIza7Bt3pr2Hft9E91OvpSRpQioVSuZFOFqiMpkvNWMAN7pkcFMwubFeanGy7XMX3E6pq3MT+ZTZyg40le4uC7k0coS5sxzkKYFnJUkYRIT+gKPnUv7gs00+9ZVZDp+bZqLhM1OD6TCjFZo89V6AW+bglmVSqJZr7zCwF85EM+KT93gcOFanlk/gKtvFqFBejnEwVocnqcelO+Cbruvygc/P0mt4TCSGYWII4zxuUBrPk/nYOhyQ+87JsqvCBXOSn/zOPlftOsnv3TzD4bOTLKd1+r5HUwkaOdADaeyFk7tM5epXHNfCPsTq8yrTacYg7qy0RemEG0c5rysWH0sWjcuSorDOCBINw8xOy7r5rqd51fV7fv/7337jG88tdb6mVHlOgBsTAQHR6p3b4s7ju3W6jO83ECJBSk0mVdVBo/JqM+Mw9wigRcnkRZBVOiSsI0vyE0bB2AXIRQXsYpSyLCsVde6aFOyd4Xup7dzxUsIwIvAiulnM+z4e8MHPbuLU0hRa1ZmZVMwEhslA08iZu1Gm72Vep5JLk9w7L8Ed2OxllMQcOBnSi0Omw9zFKZJOhStRZGGLpTeTJInHRNNj17YYFQ7pxi0GgaCe2JFoQS6v/FyieIXrIdSzBK+K+ck+P/SWPm975Vk++NkOf/CJWRYHTQZejZqnaHiCujKEqbFsLq1U8WRV3lBkOdcwOWMOy5rz5rB5eUE7q1fxvGBuB+iZA/DE5N1FGgZakApYWuxw21f3727UW9u+85teePTMomHz3LOPuX9OgJ8+cwojJ+dl7H/cb9/je55E6CQfUKlJpUYpWc73U1KOShEjyu6a4r1Khoh1WXus5Kc4fI4daEpgj8iTYliQyizAPTtbJfATakFM4Me0hzH3PC7501sn+MRXZhlmLYIgYDYQTAWaZmBohIZGUIG7FkrCUBLm0sQmhnJnIgd44NvM55EzhrseahAnPmHTrAkwi1uVzrZEECcK3/d4zXVdPvqlHvtONhnU7LyXyDcEKfiJxo/t8VZS5DJCVsN9qGRfpiWpljRCj41TA/7Dt/W57IKIj9za4sG9kywMmgxVgO971DxBXUIocxu1sFelsfkEgQPy0aKsNbt8j5RPODavy+i4mlyMgDwzeV9oztyxhkgLIgOZztOiCj7xpUf8f/7t136cbPEFQvcW/tYMvmXTZvnlrzx1/Z9/7guT77yxzSuvTojigERopPCQWpNpZXWvlhgt8wBB5owt0VqX+roCeB4eORq8YOzR7GR+tIRBFkxeppR1We5pdbfBU1k+fTYr5YjnJbR7CXc/KfjDz09w68OTLLdbyHqNVl0x5RsmAk3DNzQCQz0gZ23L3PVQUgsUtUBQC8gr9HQObk3oW/2tvIj9J+FUu2YTK7m+HU2cVACwfZB5KamWxLHHxgnBxdsHPHE8pZ/4RPmM7yDGgq+crFskakCOdeYUF09hQyaZrQ9/12sGvP7FK3z5kS4f/sIED+6dYKnboC0DeoFHoASBFIR5I7gn7S51SlQXqRJ52e+zAXw9Ri9AbaoLULtgNxVzp1qQmlxzG0FsipHWGrIEdIxIIq7Z02My+9jk0sK7rkde93meY3jQcwL8kSdPhVEqf+fz9/Sa9z02z//44dPcdFWEEIZUaqRWqEzlFqFCG4kqAF4CuuqPHGFvh8GLEz8u6twDWLF24ZrokrktwO1ErKBwM2TCQjflzoc8Pnd3i0/fNcn5ThNRq+G3fCY8mPRtJ0/dJ5cdUA9Efpd5yWmuuwNBWLB3AXAvJQhSakGMMQm3PRxy7EyduRmBL3WuY0XV6OsynROMZ5liEPns2Ch4zbV9PvXVmF7iM0gENd8QpJbFo8Q4q5Qq/WqEHJEpplg5dRUjpalHPYx416sGfMN1S/zVV7p89u4Gdz7e4ny7wUAEDAIPz1d4QuBLgS8lvjC51LLbEkhXIpYnZ01jUFWNWIDcuOW39v2ikz+jYu3UQGqsH27FegY6sfck5qarV3nvezrM+qebwpjfqcmDlwGDvxXAb3vgYRaX+pw6vMCh1OcDNzd45TUr+J5BiAyZeWhpAa5ygGtTsfd6rO2CvJIlI7Cuiu9Le8o493yHB6kRUpdyJPASarWEYZSx7xQcPa342Bcn+fyDE5xfaYJfw5vwaShJyze0PE3dN9R9qPkW3DXfziS0ZabSuYv85yYHuS5BHvi2Pe3Qac0TR0Lw/XyZN06KfjQt6C7ZZf10Zsc5X7kr4vJtPZ451WBQEzRSQZgYIkVu7emcvQs3pbAgK63ilrVaZ0vl0wd8hrFPvR7xPW+IePMNq9zyUI8//1KDo6drPHOqQbwakoYeQ89DKis7FfnfE3Zj1TIILc4P5jnlijHCrliFLMmfpzlzVz/TdjiT0WAye9cZmLQE+fd9c48bXxTT7x9jZfDoVK3xnf9kqWM+MDux/nLyrACP+kdFEvf+1Ze+9KtzP/AtJ/nKXp/eQGA8gx8keHFGEmeWubXKmboAuCytqxEGR5TNwMVzcH1uRiN1QS5PbFLDShJtRz/IjDC0k1TTLOPsEnzxdo9DJ+vccX+dUyt1Dp1uQhiiGh41T9H0DE1PWxfBt4Pza74d12ZBXNxlflc5wMk1dw5uPyP0LXvbCyvmyALsPdrAl6P2YClRqOrBSz1aNhDkPY2pz+U7Bly8oc+Th1P6qU8rEUQeBKmdCagcgEspEFKOMDmM2XCFDCr7JhVJ5hP5ARP1mO96XcRNV3U4tdLhtgcCDp8IueXhBqeXamQDHy09kkCBLHbZsF35kjzjyWg9kEvl7uo8YhtSNKrko/RMLtoKYOssf50/TzKINaiUVt3w0F7J3U8JDp0/MPXD39370cBPPrh2/f8aAD+49x4Eybe/aPdC85XXtLn9KcWvf7jJb328xdUXJ2ydzrhoR4yPJItlCfAsU9USmT8aBOjKLSl6/6qPVHC2qXzuEebWlRRRGX6YkWSGwycETxxWfPH+Bk8eCXj6SJ1OFBLFIfgBasInVIKGgoanqTs+cOgVdRpF2aytCw9zWRIEiiCQ+QVgKu3tZzaz6FudXwsSjI45tyyJTIjnSQJp8BybbbyuozinRbxS9DvGqY/AY34mRqohvcSn7wnrdCRVwZin9EgGUhYmNUAx7AiB0bJicmcwkp+pcvxEPwrYNB1zwcaEF14YMYgH/NMjbZ48GvDF+2o8caTG4eMhSephQoWRCoQkk042yE3mj2sVN7tVPo6BugS3Lrpb7D3ReGh274zZMpNy9Z6Y2SnNz/zWFF9+YoLaZJuNE18g8J99w+51Af5Lv/dZ7nhqRb38wofF5PwQgWFxUfHogZBHn64zXddcsC3hyksSXvfiiFdfE4OxiZR6M84nSUnQgjSxbI4jUex3Hx9bkA+/z+eX+J6xu6pJQxIb+kPL6EdPSv7s1pB+onj06RoHT4Qs9gKiLAAvAOWjJhSBFNQVNJShprDjzFReeKQsawe+sEkPF9y+JMhlSRhAGJC7JjZl7nuawE/zjGhCvRZzfiXji/e2aHdDpicFXh4fFEVf6wVjpcQstbgkihRzs4rX3zDklgcHHG83GfjSyhTPzpHxk8Kzzj12mVm7EHfWiSz/hjbeSPItyyRBpsg8ReorkswjSXxrpfoJzSDhpitTXnJZxFtfMWT/Cclje30GseIjX2xw5KwPQtIfeGSxKtumjEeVDXJRPgLwQo9WVXUiMwhdSZN6I8X3NQLDq6+NeN11Q664NGHHtpTpmkangtm5GimGQSflrscPil/8FztUtPjRNJz79r85gy/3p9/3b/9X5+p3vjzhr+6a4f6naix3bMf8Uh+OLIXc+4Th419KmZ/OMEZz7Z6Ed712aMsfM5if1FxzZUyzZizojaiMkTV/UZTDedp9wWOP+yx1JPUa3L/X5zNfqTFMFMNEceZsgBYeifHRwgfPQ4QenpQESlCThloO7FAZQmVsDbiXe75exdxB0ZdZglvlPZqiZO/A1wRBUaCVlewdBAlKxdz+iOJTX22hAs/abSP6+9kZvPDCs6xwPBTDoc+bXzrg0/d0+Mhtk/TSGs1ch/uFDk+KpIwpu4WEkCXA7J+SjtZ3AK7zUQ6eZXLfU6Seh5dmFugqQyk7SH+6lvLSS1JuuCTBiIh3vKrPMLHj3P76KyEP7A2oh4LFjuKxJwM6fZmrJLHuGa6SAFaiNGuaa65JmJvKbG14ZnjXawdcc3GCMTA/rZmZ0ni5Xam1RISG9/7LNm//hohP3tHhn79j9epLd1z6PgM/9Ddi8HNLXTbMNCd++jc/fckTB1vq7oe2MswMmQG86oNrDJExnGv7nFu1Z2v/cc1nbp+w2azMMDmtuf7qmFbdllCum550L/XcdVjtKR58IqDTVkjPzkOJjGeZSXjYucAeSA8pJb4UFszSEEpNIC0QAgWBqmb0WZBXY5LtHj+ybDx2wW0ZPi+r9QsGz5x7SuglGBNzajEgjmqEk5IgT3urvCpvJIspyvPrxCiUzJppRZz4TLcU2+diAjFkkIYMUkHds0MwixqSIqGlpFveKsu/Zf9GEejrKnuqdd4zWUmjNM3yvIHK9z9KSdIMlRRz2jOkTNk2p/MVQ3PZBUNiM0B6mnZb8OATHqt9iSoVy2hQPXKmja0Lb9YML7k6YXJaY1L7+3Up8ISVWNoodOqROFPKhDBMNw1vfHHGK1/QQ5umGkbRJVNbv3sijd/U8YKp5wb44RPnOHnWe+9djxx81en2EGQLRK6T1rsiHU2VomkXr5Whs2o4c3vT+YrrAdxNjeUnRwh0seUCec2psNpPCImQMreyClDnaWdJvnFr4Rs7j17eSa/It96jBLdt61IEObgDj7LE1DJ4zuKeJsizo76fEIYJJxY1f3xLE7wAX4oqwCzlyTq11U7yoxgSasFmB+vEic+7Xz/gr+4c8PS5Fr3Mp5HaTWltFWA1QEmoIidA5VGLKsaxK790CryKuy5rYTxP4Wd2XoqfA13JKmlm68bz56LYhSPDEwZhMuYamm98mQaR5TKTHDNi/XNe1hgJ0AqdeGVclqWCNL8wy0SgY0iUkDEgjISsg0gef1U2PPheTPrDX5PB/9v7/xopRbDvwLF8ao5fLS0jGB0LGqqyMkqNpSDzx//tmEApq3gc/VYutxbMRQuaEuALm1YOhZUCxQBPL59W6+UMVxYSeThzUArWrrrqK4DLUraEgSlb2oJAO4NzUvycvQMvQcqYY2cFC50awvMIJSPyRLpfyzndrnQYAV7udMSpz+xExI5NA545GzHIPIYZhJnAzwx+muvwlNJZqlLoyrmaRHnIrcNV1FoLRxppvEyTKYnyiu3LVV6sliGVzlcKXVmzopqMZR81IrJb0AjHICidsDK3WUBGMPLuSLlGkRtxM9tubVKVMTNg7er0ELr9R8F6JLwG4A89fQIhYLWfIpT1QseZZwTiBgzrgZivIUkqgAunJBMhkFQpYjuVCnxh8EUO2lwCFM/L99QoyIsREZ6ym0t5XjUPxYJb2segAHoRfObgLrp/PF1KFN+z+jQIElISPntPnXMLdfxJReDWcLgOCmOK1K24c8oYiqTPMLITbN90Y497Hh/SSWv0PY96qonzdLqSVUFUUXAmhKbqHCoCTSe5YkDrfKaKyXtmtcDTglQJvEzmu9jZWp40B3qVTCuC55zFC5dLaiQ5wEfAXblijB2DkXecEo3RmqTCXq7APY4oiUTKCDU4gFlntRgB+B997FamJ2ov+60/veu65eXT1upyVpkixeyyENgMVbGEaNYXImtwXXzAsq6b3FsFhbXZijRxkTK2803y5/lJ9spHUY5CcIFdzkFR2H7E9QBeBJyF7vYKWWJyvT1aSx74CYEfc7atefhgHbwAL5cnnlOgVCZCxhBul16n6q5sCJGlJ54kPtdeFDE7NaC90qCfKhoK/NR+F5XZwaUqcQGOBXn5h2TJgmUGWZtySpVWdgCTrwWZykuelSDNQe4Wr42CO89HyCKrnK8iuUngAtutAH1WiWqq4zLKk6I6XmMXggvhKJF04guu8ya/+WUnD/7Tu7dd9Mb1Ad4bJKSZ+caaNNc0TIIKvLKGt/ij7h8aB/rfBOCOY1oC2xZvVQB3R67JAsxOCacLcCWqUk/bXFx0qlhZosrulQrYRfOtZe9cc3uUeruwBC1jV+D2y+rEBEHCzV8JuefJFjL0CKSw87fLCsKqja6q+BvPZlbVllVXlCLTisHQ54YrBnzTTV3+4OYWcRbSyyS1zBCl5CuXW/Wnczmnxy6oZ2Ny0F5e4qxFCe5MSZTSltGlzEdLaKcU2a0BMhXIR7LNpspulsVZ62Q717mNjN8bYXZ7/MpoLn+tjSBNMry6umZKdL7RiOTuUfjntwOHTzIz1Xz9hz765e88deY8jVDYvc9xs0/VHyuWA1dWP9e8EhfUbodImdChAkMF9GI3hmq0QcHidguSCuxe0UGv7PMRFs+7YXw1Cm47TmGMufOezSBvb/O9ouEgde4JMQl/ftsEmQlRZfbSDTCrvsbC2RjR4Iy162lpR2lkRbDpIfB516v7/MlnI1Z1wiCrMcgEfkrJ4lIaZCrKojNrF45rUelYk07Bk7aDmLQ2Obg1mWebxL1MkimDymwFo80eyxLUlUU5CvCytFZU+rt8LK/x50aJS5glqwuoRmI7ScNcdmX9BZKo850bd7zxjl775C3NyW2jAE/ihMEwvmjQ7+0e9ro0giAveKmKZIpNnErAr7n6nuNjO4HWGpAL69q6nrFyGFCKtZqzGsNczfZQSpRavBiNMDLsJge2p0TlpJR2oO24t43JJmfuKsD0HPYO/ZiHD0oOnK5hlI+SkkDqXFa5EqUS4OMuSnGvhuYIx6+2IE9Sn91bEi6/sMdX99dJVMAgFdQk+JnBS4UtghJ5F06a63AkAj2meYXD4sKRRkVfZOGu2HoXC+68nU0ZB9x5LZAySCEdiUK5ergAF+sxuFgrNEaBNKq1K9YeDTi1tq+1FsTxkPpwsDvLoouyLLllDYOfPrdCuzuk2xuUmlWZiq1LmVKytKOqvpboFqbkr/I7jrG4mxQpmdwFy0ghPighbPe8qMBdsHfRLe6V4JYjAHeH/9hue0pgl9nKkrkzAs8mdmxXUIIh4S9ua7C0VEeEnvXd3YtwTJqUJ3PEB6+mCbh13KU3rRVJ4jE3I3nna7o8fHCCKKvRVwH1zGrxMjaR5OAu1gqde+JF1GRZvJSWxd8sO7DcmTX2cyjtjLrWpkwsSWlnnUut8/NTzTa0gHdr9iswF/ZhdaGPzUIcAbgLKXvQyvLqkrlHK1NTrcnSAfFwgSwdlv+6BPjv/uFfIaVkaWmVemi3vMuMK09c/Z1LFPM3wPZYgOGy9qhMobzq5QjIHafAaYp1Zw6WAC9ZvBi0KVHeKMADLx8A5BdbB+YZTs/gl6l4nT/PRu6esp07Tx+Dj9/aIpIBSqo8ezl6IY5nMMfPo6slR3V4rsUzRZp5hJnHO1835A8/3+fxw3US5dOXkiDTuXskkJkpB43aHaNF6WTkXJf/rdF9i1wmz7QdY60LFs+KsRLaSqGyb7OYyyLKC1qM6fFSdjoMXkmWCuyjgF//NiJXRiRyDvCyayxg+fw+ep2ztn7cBfjRY6fYccGWxk//1/ftaq8sEnj2qpFm7D9z/uDfiLlHAO5IE0ebjbP3ugAv5wyuHYcsHcYugsxiapPnFZu85tpbjYG7SN/7RWOytjNDyhaxoqczze8Jyo85cMqjGwegvFyemLHy2PELdxThowONxrzwvBunSvx4NH3BJVuHPH4gJtMhAx1Qy2zNtpdrcCXsRq42sVSslBrKmh9dnoUyw5nXw3jlYFP7XjEw1dPkHUQGqasJAcV0razo7nd6Y0tgy6rrasRJKQC/3lU/Jl3G572XBOv45sXU20zb/T29+sZdL37VP2+0l/95f3JmiwX4yZNnWFlpv277lrkff+ChJwl8Ueqzsv1/7IoaDy5HPq/zuUqbbPz5GADWypOqj7GanZdLE2eOhyqm2BY10soBdfk8T/Ioci/cgtsCuBoK5LvyxGVvlfd1BjHLXc3//MsWS4MaIvStPHG2ZilWGRfkz8VOBstCppg0UDK4dVTS1GOi4fEj39rlyw9PsBQFxNJjICVB3kNZjXzIQVbU1Oe6uCijNegc3BqDHHNWRM7gppzlWIBdSZEzuJVEmaykiZSmnEwrR4JM99GVKE6Z3cjxMSMJsTXsPSaJ3QkMtnkbkjRhfuv8j589te/uJB78Vcngjz+5l1ot4Oix42BSPBWgyetPGJUnX5O9xTpPx+QI64GbUWC4m5eOA9sGmdX8Qamq8WPKAbUnJV4uSbwS4IXm1mVQ6Xu6BLfvFfUXo+ztq4QgiPnYbT5PHaqD9JFSEhalseMxQ0FTQqy7DI8POHJnxRQgT7XMN3nyuXJ3n7fc1OEPP19DeyEDGRBKUSZ9lBQkhe5lLZMLl8ldBnRqYrQCZeyqoI2w4C6mhOUjsUsWL9oHC7AXUiVn7yKGcp0y1nlekN3fRA6MeONuTU8uU6I45dzZkyRpQJZGlAD3PB/PC5DSy9OfuY50GduM/aGvjW/nwxcgFtVzp79vjWcsCttLlGzu2m/PDXBZAbxM9BQAN3ZOdi5FfFW5Jb4zHKjS3Ja9fc9OrVppa/769haL7RBquXsinGDsWSQKTh+jewDXte0Ky1BLdFa4KR7TE4pvflWfT98zZKkXEiuPQSZze1Lk7o2omrHleHLFsnfxli7ZvOqX9ApnReXPZf5aQqYoj7uSJp//XpyjAuRiBOAlW+c/G+3QcjFSlW+UkwfWAVY1WViMxoP5BSoEtq4m8JDSSjLvocf2s2F+Zuett93/o08dOIMQXgkynP9kBNjPwd5inddr2DsHe6FNpfPaHqBCoohKoowAe3T2t9vhYoe7MwruYmeDgrmVw9xrGLwYN1GNnPCUzVweOSrYf6yGJkRIr2zOraoH3fhBOK5GdaWPJ8eqGMdN2VeOitY22MR4XLojZvfmIUvP1DFZYFk8szLFc1ycKrhzC71ywV2U0YJ9XTSlFCuJFKV16MY2Kt+aRue7dxRxUGUEiHJ0ntCiIrD8cxQrmihXl1Fwi3UwZEahtA4excgvBb5EZieYnbroRzdf8PJH20v7jnpGZ0TRcBNGv35hYYmpidDZ13yMvZ/t6lqPscc+7AiTFyyNA/ASFK48EY4zIZxgswK0ZXDyUcCuD+7e8y2tlQtuB+T5fvV+XhpasLfKX3teglIJn/1qiwOLdQgqeeI71uVayQVrljTnNjpktOpdreY8Vlo8jj0unIt50w19Hni6AdonzawW97N8yGfGOlq46HEtTl4OcmMcieLIFZk/l/mqIou7Pc7lrtUF0Atw69EJAlLkmyIgRi+6kskLTe4OFKoCUZ7r0JWxX/UbFjeKfneZNNOvj+NoU5bpo16R1q4HMFG3y/o4OP9Gt3E7zF2iEeuyuMxfuFrbHZJTAFqsA+ySzZVwmnAdcOfzCattO1gLbK8aEFSOePN0DvLUyhOVUG/EfHWf4q9ubzIYBtDw8KTAF6PSZDzAHD0G65+nEf09Zhm6vniSeky2PN76yiGfv6fP/fsCTNNnkIUEgvJCU+Xfr2RCBe4K5K5fYYPP/AJTls0zafW4LjYt0FXAqUvtLZydIYTD5Lk+L5ncXbVN+dwCc1yuVCj6WvgrhU0ea2gtGCQ+/YFHkgqiWOLFSUoUJ2ijCQLLgGuqWdf7n0d+Jtb9/XEnoQK4I0fEKKjLq39k2RNrn+fSRBZpeukERMotmzV4XjVC2cs3YfLUKND9kq3tXSkbYAZBTBJnfP7eBk8fb4DvI6TKQZXPDXG7zJ+linDEUXFZGzPq55a+rjP3MbcL49jjsgtS3nBjj8eO1onSgEz6DLQiyBj7LIUXzhiD20cz9llQxcWm0UqgCpdC2kcpq6xnuaJKUMYBtwChTc7e6yfvXFzY56KqW3kWzLkMv5ZXTcUkQJRIkiwjy2KyLMH7+d/5a4RQmKiLFGpkWPt6/7FY/6+M/P6oLKkmq44u4Y6V5ronDogrFq92IKikiWMVloxdALyanFpKlJy5LWObkqm98rF67ufBpacSwiDmyWOCW+5p0B8E0PSRoqgcxLEH18liFt9t7EAVtSgWXXlloeumjIykrgqw4sSn1Yp5w0sjPn3nkMcOh+AFDLUkyLW40qAyx9EQILKc5YSw2TtXa6rKyfEUlXSRls2LVaXQ3FqCNCALTV6C2YyYAEIXn8E9z2bkXD+XjH0urIkxde7+u8BXpJ076Zz6Kkmi8WrxMkIIsiyxOkuu7+GuQ9bVQjL2gZ79SnXfE2uAMCJRXM0t7O4DRXrezWYqlZfU5hWFXllwZdlalfPBx8Cd3/1iCm1e4O+p1N69BN9PSE3GzXfXuevJOtQ8kLah2XdKeEdnhIwG1qO5+tGb25tZJS4om5EzU8w1qYAeDX1ecWWfN72sz1PHaqSpjxGKgfDwM8rPJLKKxauPsD6Tu6MclCqY27K5fS3K7SCldPz+3GGxYBfIAtRl8Fmt1DhgL7GBo8vXA/aa19W4aOH+ikOOSgpOn8lYWEow2uDNTUqklAyjjE63GAdWORxrzs0674lx0DtgXhfoOYNXS7oYOSDCAXYlSSpNXqXpnbuqwF3s6lDevWoT1ALQvgPqwjmxjol9VCoh8BMePSr5+G0tIADpI4TCL5M7piyuGpdco1pSjAEMp+TBZW5HgxuBzmzrnk1kqDJ9b4zHu1494Iv3DnnwkJ0kkGhFPxNVHb0gT+EXkBjnJ/tZTN55NVKOkf9U5aDXMt/Px7EzS5Cb/G8ZJ27SFWNXwbcz4csZ5OnuIiGeBdAu0J4Ne4XvnmWSRAeIQYAxBq/dtxVgOrOM5HtizdIxrlXGA8nx5+OsXX0Bxy4a0d0OsAt7UI5r8MqtGAF5ztbVZlOWtasB+BW4R1jbeSwaawupolSK76ckWcod99d54mAdfB+kDS4DYZzJsQ6Dy7FVaf2jNlJXXxVAGdwakZHqwqya3ptlHlHsc8XuIa+43rL4ILMsHomAoQYvE1XglxV2YZ4pzJyLjGrXunHrUkkwyiCNyIvubCAqjG0dNEZUUiUnqiLQri52gdDOhS9NiYMR2VpixE3pF9SwlkTXBTgGISVKZEw1M8IwQRuD1whtI2+a2v0rPVWdljWmuzCj/znCAfZoxq7wXks/2AF5pcWq9+2UJnePmLH6E0G5907Z9FA03440PFRbl3iqCiiLeeFeCepqAq3yHIDnEiXwEg6cEXz48y2ixIeGn8sTytY05e4SXKxSjgQb0SvjNzMK9PHM3GgR1rgW92iGku9+Q5+b72qy75S9+DKt6GfKVhlmefIHYZkwy4O5sZXEFEB3AC5NpcVlrtGlNpj8HBkpkLlsKWOlgsm164iNBZnawYF0AV4A28XTGGmu5Ymx9wVkIIQkiBVaeGitUX/0of+5cXoy/G/nzpy8tMwMyopJXddCOgy79vccBi796SrDuOb/KpI0uX9tyzBFPg/PcUXG7sXIBNfjLh+9yjEpJkC54PaVwfOLrGU24qD4XlI2M/heTCZj/vAzDf7klikIQ1A1lPJoKENdmXwcBWWDs++0xlWZVDcRJakmwzISoFaxRGU7FhetkOSNv1UvpJIGYTTbN8WcWpQ89ERAKuzkAS3siDXPDehKII0ByEmUCPe1cUSNcfoAxi4GV2KVUgtRvVc4NIa18YZ233NLBvJHRgv81mzhXrzvbIOSZoIoFrR7sGHrtZsuuOjGL3kL545PCd19Y7OmUdIjTrSzSxbPeVub1BkNIhhbjihliStJXA2eL3Uua4/UgZsR7S1LMFSSxGVvVe704GxEpcYlSVEpWLB3gu8l7D8t+eiXG/n8FcveftG5X/x9wch4YeksuW6gKdwXJYDGwKHdE13NFbSBZ57VNBKdKTKVa/HM49te0+dTdzTYe9IHGWOEZJj5eIgyfW6dlPxkZs5w06LOunhlTN6KaFPsBQak81jeC9Y29m8YLcqA0xTuyprYpEp+ucdmTbzm4GndmM+h7rL5wVivPk4EK+2IqfOrb0z0sSlvstEmGfRo1g1JZgvdha4O/DjK3f0eGftgpWZyAD0qTdzHseKqMf02UgOe21DuPjKVBq+2Cix2VlNj4PaURuUsrnKJopRGOX63UvbuqZRMpXzm7iZ7D1TaWwhpR1aUHTSsewIF468FzvlwmLB4PtqAPFrjXHXbe+V+R4U/bqXKZRdFvPllPQ59NCTOFAiPTHgMhMDLcvuOItAtHBVXe1aeRNHcYoxAGWth4oBeuQwqTJXiF6Cl1eu6kCmOD+6C3QV06Y2vF2SOvTeOt+qirB6L7eL7g5RzSwMi08f70sOCbhvOnElp1u0QQylEXrRlv2xxOFxwr8fe6zJ3Afyxk+5WC46w9xqAV6xdvC5ZO2dxzwG2C/RSg5fgzjV3scWJ1HiyGGpjwe77CYfPKP7XJycYSgtuhOd0zY83QY+22j23iTt6YtzNtkzRHjiSsnc1eD43RdlR1Zn2SDOfMEv54bf1+Ms7Ghw67YFKQHskwmcgBCorjrPV42WwOQbywpsv7MJihdEIVAFuWTG4ym1EaUTJ5jp3MrQUCFOtHmvNhBz4LouvA+71jIs1IDejhOEp2LFFccM1mo0bE7y5psIMBUliSAMLJjdwLP+1A+L1AoFyOXHZG+eLFc9HouzR5y6wxRhrF4mUAtwW9NoBu3Mvg0sXyON+t3OXVp74Xkwn1vzBpyc4dT4EZeWJkLKyBkV1EZbPx06UcI7JeD5hXaDjalFTlc2aqi6/GE2t3WYIqchSj63zET/wli6//OGAdmIDAmMkkVbWNsyKz2EgE1QKuwJ5tVqLkQ9XaWjL6jazmQegwlQMnmc7jY1prRorGXy91c6Vrg5bryNZXOA7sFv35nngSUlvUGdptYUnpW3xKvZ6ATGik9z/ck1068iSNR/OAbUsPmQBbtYBt3QlisvaVTF/AWyZ+8+VJCmsQu1o8QrQalyilFudpOWjpxK8MOETN4f8/l9MEGnfyhOhkEISCKqm4jFLbER3l7HIGAs8C7grFnIymjiOipH5Bqra2dyrALrdCrzmpfzQO3rsPxbwwc9YLQ6KTEiG2gacMqNk8KoAqzhZFWMXEqVYYZSpJIu1Bk1uE1ZZTRv02iSVLs6ZEBhZ/a3CPSsyn4WUcy3k9cDtAts9iutJFykKqVIkyARecZSLaF9Kse4VNALwMZCXH9D5UCMnPr94RjOXrn/MyHJfMXk1gnhkiztp1mft8n0H2CWLV4ytcjuwerSzBpdX4C+/3GAlKsBtAe5Lq709MSpPRj5rYZetd0JcUmRcnlRW4UhVny5aytxSWqdOXOa7amiPNPOYDDLe9to+n7q7wVJXgUxAKxKsHi9kCsK1C90POBoZ4LghykkKFfUp0ljNbaQpa1WMsEDXxcVv1p5zkf+OIJcyUF1w62Dp2azC9ci2vEhFfskK8MJyc1OF78l1spLrPR8Fc/G+dEEv1gH7s0mT9YAtxqSJMg6zO+w9AvZiMyo9IlOUy+QqKx89h739RsrNt9e4/4k6utDeMu+5FIU8Ga03GelYcU+IGD0548vrOLAq66uSKOPNEMYNOo1EmcoXTzMfT6e85MqYb3pxnz/+bAAqBiExQhBpz5Y55LCVJYjcslQH5Lk1qIy9Yss0vqxkVCVVLOC1ccd62J+5MmUcAxRSBnCbX6o8wnp63AH+OmyekZcPGMMwgigCb6IpSSNJqyGRebH7eKX5elfO+rbOWqmynsswWq/gSJSyG8WZYiWNE1wah81d5tYO2HOQy2xUkhSOiXQkikxR0g5+P3Rc8uGbW5ztBna/a2kHvStBtWPDWLyw9gIWI4AfZ+/x20iix2H28bEIIxvpOnXiShaPdvuTjc2M7/mmHnc/EXLonASRAAqNZChkuYlUyeY5qEsbE6e6kVyuYMtmCy9bSrsZlQV5BXghKGvI3fJZXViVsiqT1bLKrlaSLmfwZ2NzoKwTfxZVUXz2ONa0exov0Hj1AIah3Tqv8BLX879HGNy5wkYA7lx96wPAjIB+RHM7bD4qT4zjgVeSpLII9UhgaX8nQ3kVuItAs9TdMsOTVpoEQUKUaX73YxPc9XDdRinSs9pbStu1I6r5K+VnHdkklWdlcvf4jZ4MStCMJk4qZhwtn3XLaG27WWEXZpkmlR4q9XjFC2N+8F0dfuZ3A6JU2gyUlqS5qyK1625ZkLtjHIwRVli7V6C0VqHCYXMh8sDSTl+QOdilNCVrmxywWpi8ViUHtRll7REXZZzNXUCPEOy4rMrrZrRhEGUMI80w0bYn07oTlS5bA/Bn0TwuwNcwN6OAXsPkzhLv6u8CvAXY3f3nKxY3pT0oSx88HxBZgFlWGrzYO9PLZ1yXwaVM8YOU2x70+dRdDaLYh7pXau+Svd2VZIzJx10iV9IJCnZan77dwqZq31AX3GBUUWU4WiueaYnUVqoUQE9Tj3oj5W2vGHDrXQO++KCytiEShCQRHgMcKUkVABafRpVBhHE+mxtsWqY2okgGiZzJc7YubEMH6FKAKYPNXKLI6vW6yZ4SZ2bdhI97rCuA5wmyrNjcCjxt7EKk8g+5ni2zXjS7PqCL98woe8vqoBbMV/3MrA0qxTos7kiT0kVRlSQZAbTjc5ezrVUFbi8Hd+AnrPYMN9/dYN+ZmpUmwpbEikJ7C2e67TqsvVayuIB+Dn3ikkmRUBlPaRdSZSzxM14vLqVC6gypPZLIY8+mhG+6qcf9ewPacZ5+1VaPxyiKfSAkuTfuzv8w1WcvkjvFVykkgDKi+MhlkGnyILuQLnoE6KNg1sL65GViTDqgLaTLOO7G5bGDVfdIFywOtjzEC8Mhvh+RmYw09UevoHWuLBfwo8vK2qvPZWrWMN/67D1qExZz73KmdrR4NfVUV9rbBXe5YWo28liA2/dSNBl/9Nk6v//JFkYU0sRlbyrtPWINrgX6qHxzQP4c7G3GlMCo/i6YfG0rW5XR1OhMoqX1xZXUJJmPVJofemufg6d9fv9THklagVwjiIRE6WKQRA7uwvLQbrePI1eKYDMHuhJOzYm07xVMbbDn0PrjVad/VZph/0+Z+8eFhse5ECqcCcqy2RFdPvp75PGPUhKpDJmJibMh3s1fTWmvJKycTti1tUbg5w2scgyo6zC0y/TrXY3jU2NLWeJob/dRjejv0eduYFmBvCo+8vLn3rgsWWMNpiiZ4AcJB89KPnVHk17Ph7rdC3KEvcuab8fZEVWCZ+TYjD0vQP61ONyU6HaATqHFxYh7YvKmgxLo0kndS0WWZUhpZxq2milvfWWfz3+lzsEzeVLBzu0lE4KB+0mFw+DKzhCHAriiDDYl9rsbgHzycAl0qkymQTjyxORZ8VF9LhhzWgogr1kJx4A8xvD2nxUjLOzM9wu3Kl5x/ZD5+R7e5dsmWKjF7F32MKZqJHU7xdew9AjYxwPNUXki3ffGXpcp5DJraZz2p8o9KYEtXObO51UXLkquv1W+rbd05Il0WVza2pMo0dx6X5MvP1K3w8Fl5Xu77F2uGkLgBsPVhTuafi6X06+tTlxCHwW6c9faLv+FTDH5ViRWd+tKpmhJJhQq02ihSCKP114T89qXDDjxOZ9IWx2eV0KR4hEJKzekppIpRRpyzdCGPKspC4Dn5J4HoIW8tXrcAllK4QA6TyCNreCV81S9LvE2Rp7rMnweuKJFiZnewOfM0gYi5vAu2bNjNfDSzy+da3yLnahaDZcfiW7HQF39AffDjb5vt7VwmM0d1ggjvXwiT8sXGyq5Q9aLQHOUwUd3HyjkSZncKUBdpOJlilS2U0cGKXc+GPArH5ok0x4Exa5titGiKpexx8eTUdU0r8PkI9h4LmSD46CMpuxduaIppl7lxViiclRKTS6tNy60R5pqgiDjJ763w76THnc+INGBwPbp2C+QaMUAHLPNOMhdC3KTS4tClihZVEFa3S1E1e5mRN67L/Kiuhy0hbNSEqCsrL8Ri3CEPAvQVeRp/01lL0oJJrUHUsqAxEx+fmLqglV13Qu294b9pUONGj/oqbQcUOmOQhgpCR1LnxcsXzUiVGl24WQg5TrP3RroKpg0uUQay06qKqgsu3bGAstSmsjRtHyV0LG9lieXBb/y4UnufqQJNd+yd373lKCeNzX4stroSj3rPW/fKofkjA4jKmrepRprmHaOafVajK5g61RUSjlGFGVMUOyX4zw3MDebEnqG+x8PWB04tQV5mFlMEZeFrKq0wJqr0+3uLOXV6KVBsRaUPx8puxajMiwX9WXAOv5/ltu+j9uqwoljiqkEBq0hTjKM8Dl1+vz3PPzY0/u8bRtjpBREUcpKOyPN1EiyZyRSHdPdcqzFaCSgLK/KsTl1grXDGp3XopQjVM9L5yRn8dLvHmfvAtzjmjvNg8yULMj48Kcn+avbm5iaAqHKisGSvXMLsupvfI6OeUczjixv7m3s7fFc2jggqpM76qy4HT5amioJ5GrxXKpIrcmEhxxkvO1VA54+7PPe93vEYeosxQKjfaLi5Olqjrv18qqUPZhqJz+R6/L8tRZViULheZv82BhRKaPSOXFY3ZS+uP2/CtlXxHquInCxN7pAmhLsSaLpDBOkbSjFC4NB/l3s3u1CmHKs7przJMYecbT5iO52gwXnS40NZXRfjwxSL9LiI9tlGEemVB0u1RZ3WQXyXG/LXHNLp/bkiw+EfOhzTYZZPgVfFHe7iWlZc7IOsOWaWGLULVoTlI+jfN2bpa+iX3xNRhOzpoTWjASajrMiLcCNtL64lppMe4S+5nvf1OPexwK++Ii1CwtvHCnQxiPSth1tpDzQlSnGziTMn9pspsiDz+pasGDOga7yILXoL3CPmymOpRmd4mAKUnRIUxgxShLjzcg5m2sNUWLAs/t5Ygze7Q8HpBlMNTTb51ILHFPZPeuBfDSV+hzvlUvnWuAXoB4NKp2RvMJh75K5CxZ3AK4yJ0WvR4Bd3VOUl9CP4Bc+MMnhUyHGq3ZLLpwTq73JtwVhDNzP4pi4740D+WsI8hHbmWqJLl2JdfX4WG3KSMWhRAtFpnOJkmmE8JBxxoVbU376+9rc+2Mh3WHB2JUU0XhEJncvCgZ3QG7twdwbF3nyR9oKQkQRVNpakOI5zmwUt3S2cKDsgFAzsiIW/vZozOem6Nd21pflBca2+l12oWDTPMQJeJfs2gQo0F1Edh6liqJ7M5JtG18enj24dEcCjI3VLYeju6xdbEVHqR1d10RK4wDaeS7c5M1YMqfYnTffgtrzEtIMfvsTLR55puZ43qp8VHlgWbWjVfbgeDZ2vaIy+6WL2Xsu3VTqdPT5KPuM9i8W2tOUTF7sdjdSbSjyAfAiDzoLRs8kWuT3TFmpog3XXprwI29v8+sfmyLOJJBWX8IIMhTDrDjJri9uqwbtDH2B23xuhCVDJYzzushsOlWGhSwpZAtF3cooIVacMFYvXv7ZQjs7h7QkAytTUj1FoidJdYr3zd/0WvywyflTT/DUI59lEDfsbrjjQtFh8ArgxR836zC3A2jn5+62c26AVG2/4bgnBXurSn8XEsWytBkD96gdqGQeWNYyvnRfyAc/0aI98G0E6YBcCFGyt+eyt9MfWi6vZZxWjYgoVy6Hw6ud1Z5ldPI677kszgh7uwmgCsjG0eOlNtcGLSybZ1IhjUZrjyzVTNQ03/+OPg89FXLrVxU0RKEnKAKnDEWkC6YcY3Jp8oG0TgtbLkmMtPPEC6fE5MercFVkLktKaxUqsI/fi1qV0rkUDoGuc8xKS9WwuJrwuouv5caXXE273cNTnt1mTyqNNpltUcs16HhNSgnocTmCZa9xz1uskScuo485ALkdKJx9GF3WLrbJKxhb5ltKu3upy1Ke2MBSyhTppTxz1ON/fXyCg0t5Fkvk7F1o7zXs7SRzXP0NIxeyC+YRDV4ep3VuhV4dS+xU/neVWCkbIZwlWBuqrWXKctpKqhijy01lRSFZhEZIhUw0u2cyfvidXY6e9ThwSmA8V2DZL5tq11MxZVBJobultSqNBKUL+ULpfZexRPF1NWMFWE6aHlEBuXhvXBUUeCt+b43UqyRMJoTd+c4PkH6Mt7BSp16vcfxMk6Onm2yYFVag5yd2XfYeB7oLYtYD+OhmReOAdzV3sf/5swJc6dHgsgR3nqaXlTQJwpSzbcEvvH+CT93WwPiebUMT/rrsXe6mvJ7nPXYvj4fLKu577jIqGEH7GvY2a9+rGpAZaRMbYXIjEKYYhWzZO9OyJA3rqEiE8NCZIcXgS83bXjWgHUl+/NcU51YFhONM7pFqyZD8AhNOEFwkgfLvY4QNPgsQlw0RDmMbMQ7wsWATRhypIiAd0eEj+adR5i2OtZKCXRsUF25QbJhQ1IRCekoRBOFZ35O3zExPY0w2Mjmqupu193LgjquZ15a2VgGhKzHMmMRwgVtlLF3WXgPuHNiycFFUmrO4rTWJ0XzmnjpfeqBhdbcqNHfB4gV7F7sGj84bdDX3SN8lzkkaA/Yawl5nSR1H+hoNXgCr8I1dXW5Gy2gLyZLpgsFlldo3Em1U/rv2eZp6CCN53YuHvPnGPoFIIU1Bp2DcuyY1EGkYGkGiIdGCVEOqRX635dVpObR//G7fL3ZxG38s7jqXFzr3ssttDc3a3696VKt7sRtgmmZMTU2jjbglCIKzQkjUr//Gb/Bd77phtRaa1cCL/knUP4fvqTUSwzKrcFjXrfYbfz267ZzbDT+SjSwuEAf4I61oqto+ugT+GLgtW+cp+DKoTMmk5tN31fmvvzfJkbNh3sQQOEkdDyEFoYSaNM7ME1POFq+SOUVSqqgLrwbzl1NuBUgpqfYTcoYjlYOP5Ki2L5y68fv4xbXGhx89ByKv81hj0TorpSsp0YaZiYzLLko5cV5x4LhnEz5ugie3EnXhpomxJNCYDhtPAo3wa/F/OCvViDxzL3Ln0fnPR2QcDiG4BWmDYcLOnTtoNif/3aNP7L/vda99ua0Hr4d9lJfSqg8Y1BMy4+VXliPEc0ky6pyM7aZF5W2PyBNwsmyVVHFdk+J5tRLoSpoo62tW3vdacBfsrWSK72ccWZR88JNN9h0KoZUndPLpTwWLj7P3ej2jo8Eza36nVITj+luMnOLyeBUnbZzQK9bWYwmfKtjUJQCcakOdywFnrqE0owVZQiub3xAKkQedSWS4dHfC976tywNPBBxdKL4glX0oAe2RSpFvDJFPv5U2c1hah7nnXQDd/o7TyKzzkFWS15CbMZniHF9XnhRVho6EAUYSQ8XFkGlDb2hYamcsrsYMhzGQb0K1YfOlKL+Or2IGnQN0BxnaKGReNOOeNIEL6EKDj+0NMw5sJ2M5CmhKMLvvjwaVxWvtaPAsf+04JiJ3TbyU5a7gN/9kgjseqdkqwRFb0AJdSvJ6b9fzrj5zIUlcW7CUKaxXTVix2brB5bMrlJHu+pHgc4TR8n2L86KiAsBS5BZiPifQ2ocyB7Qhy+0wIRRa2McMgxCarK951TUR//LdHX7+A1Os9Atg51FjkaLUHmmOKONezTnQS+Dnx7IMQh1HRQg32LSluoWyL0Fd/K5jH5YEgRkJMt1jbOUJxJnPjp0XcMOLr6LT65fXKI3WZiZmrrp1aenUr8RpQJaKch/wyrd2ayRGrTy1nu52AFo1JmhHk1fyYyTtPpallM7d/h9OxnIsW6lUylAYfveTTd7/iRbdxLeFNaJIyfsjgWVQNFI4AaYcA/V4V1JxTMrMvPOcsjvGoe6vBfLxgqtim7ziZ2bs+Vi/5shsP+3q7yqtb5w0vtYq7wiyerzlwQ++o8sPva1L3aSgM6vHdQomcbS5JtUQGRhqiHNdnuaPheZO8+lSrgZfT3cXP7dN1GMaez3NPbZvazFesLgepTTMzNY43176lRtffOmtu3ZsBmxpGT//i79GrR4kzxwxF7e76ptta1c1lWik8EcUFh5INdb9PjKgp2onc39WNQ7rkd8pdHgJeKWd1xW4hZOWl26mUqXga544GPCLH5rk+PnQ9iOKYragnzsoCikEtbKgqtDdlfYu6uHLGYjCKYpyi6WE+3pshrkoJq/m2lu6A0hH9fb4nqCjs2Lc6VBuvmDs4oMygbYmF4GzA7EjuYoSjVqg2TCdcfeTPucWJKZYqlyvM9fkRa336BVc6PTiuZsFr5hfuBe0u4KNFXCtWcGehRyK5JGUNsR6wZ4mV+2Sf/LA/Xfe84bXf1MlUQDe/rZvwfdrHNh7D2eOPYDvK/t1RoIVx7cekyOjGnzU8x5/XUmUyvMuEzxiFNj2YsocJi/87qrWW8oU5Wc8fjjgR35lmicOhBh/NJlTaPDKFjQjzD2yU8M6Wns9PT6yPYlw/dn/PbliWbsoaXIDKlF6vGXlnbHyRGpr2el8GI8udmEQ0lqEed24KGxDY8jyRIwwVpfrAvyx4eqLEt7346v84C8KnjiYByfSQVe5K7hHpgWRK0WK8tpclyuRJ4PyY6ylyFP4plQ/hQypUviiJFDhSBaR/64ZOyfFR6vqzVO2bb+Yl738FQwGQ+AnK4kCMDc7xfzcNBOtAOUVYBsthFrXKnQLotbIkKpupLIKK+nhsrYSo0z9bOAuNHcJbJni+ZqukfzOJxs8+lRIpookjqO7pa2DLgNL4RZUOc0VIwxn1gLaITU3B+AS3QionwPh4+Wm7otykrcZv4tKkzvyxP3dkb7NMsMp88bl0clYmbY7R4hMcu3lEf/8rT1aMoM0s9LEtQ8duaJzCzEy1j6MNSRGkBhBaiA1kBlBmjdPV5JFlNZgZhz54f6OEeVI5BGJMmYRusclSQ3KqzE5NUNrYqo8lCWDe56H5wcHm436oYlWfTd6kC+nBbj1iO20NiW/PrO77Oz+3vj7bmA58lyMgrt4rwwq/ZS+FnzwU00+/qUmkfIqQJfZyjywLNhbVgkdNcYM47uDrbm7wB5Dseuy/Y0QPgbs0iHJ0Tpum2mKLKab+KnKZoWwDkrR7qaNtMwJaKktcxtTuipCG4SQCGMLtILU8M7X9tl7zOODn2zRS7BsUFRIjTA5GCSxtj8OhFNCK/K5haJg6ep1MUulbG9zjqU0rqMi8pbQimQMlAP2i7jHYP3zVrNFrVY/FAbhwShKymNaMvj07FbOHLvrlsmp+kdmZ6ctoNR4i9jaEla15mfrBY2jqfaS2YWTpHEDSlFJETX2KEtL0Ja/dmPB+/+qyS++f5LzS35uLruOSXF32dusyVYWyZz1HBMXou5762Y3y7tgfNT0syHcOM/d90bS9bkd4dqBxQWhnd8ZZW63G1+OdOMXwaZ9VPl8FcWmWc1//L42/+ytXVphaiPGkr3Hn2tb3GQsk0dakBiITZ4MypnYMnr+2kngZE6yqBxkP87oZpTRxwNRbSCKM2Zm5wjrEx/51OfuumXnjq1rGRygVpMEgf9ZkG/xlHeNJ7M8kDQjjkJVMLW+xhbSOPrdZXe3mEqPsfk6rC1c3V1dDCXga4a/+myDX/qDCc6ueJaa8/JXl7lHPG9RTakadU2qcRalpck6epyKQdbC19UqXxvbIyB3kxklnef63NHh9mdjDK5FPp+7AvpoOl8gSktRWo2rtWXv3EIs5hUmsWHzdMZ//P4OSx3JR25uQS2/4vPS2PK5NICHwcoSI6088oXV20VhlsxXy6LyULpa3MnWWmszP95jGt3d696Y6ve0MYSBj6fUo17Q+GycDkYOrXRfbL3wG3nq0dvv1tnwwVoIvp+W06LKemxVpdkLth5lc+00K+gR1h5n9HEbcC24rf1nfe8MJfICKpGhQs3Bkx5/fHOTMwtBbge6AaUbWFrNXdSblH2ez9qpMzaXg9y7deh8ZBqqw+j/2+Bei/U1hVh67ALQ+S9UxVlOU3KxU5sz7s2UzcqyshLL55UetzpdkcaSzXMZ7/7GPru3xxBnFXubrNLipZ2oARvExsXdCGIDyQiDW5YeT/VnOtfs4xrd2Z5kNLVvv1uqBVEiyIxHfxA9+NefueXu7/2O140cT2/8AF+4axaEYLB6hpXVmCQN8hM6WiQ18rzQ0ow7LQ67S7Pm/RHmFqMgF9LqbOHIGAvyDBVoDp32+M/vm+K2h2oQyjHdPQpwKewXLSsGWb+Z4Wtqb8aYvHjDeRwH/EiNihizwJzUMziOCRVTl+6K03wsnboUt2a8YmzWMrgRpaNitB3BqYWxG7bmNqI2qqyT1kPDa1405Od+pM1/et8kh88E4DtAcbQ42pTHWiOJsUAMpJVPXs7MqtDVohq4X8wyLNnaFA5MjrkiOUTlvhSsDjCIDakfcNXmC8j02ja0NQBvzH8jUnrxsZMd0uEhPK8CbLWj2GizglgX3JQ24BqZUj7X+cXhBJYuuEutnlXM7WuOnvf4L78zycdvbRALNZrMEW5a3rJu0We5fhuaGyyvL0fGgT6C2XHAr3MbXw3Gjd0ykeM8jjdCFLUZ1YXhAnvthNpiIpZVOBXYpXFlii3M1ULagNP26SCEIdWGmpfyrm/ok2n4T789ybHz4SjIn8WgNkhSLLFnwu4S4ZEP9s/lhnsuCqCrHDeF+qkaJKoLoIh1ixipFhhecd1WfuSfvT5O0ozf+rmvAXCjNhFOTPxYc/LKy5d6i6+SuoPvjWYv17giFJrVYfdcY48AGkrGFg6YpdAlm9v3M0Y975y5Pc2xBY+f+K1JPvHFBrHMt14TTjoNSgAALLtJREFU699FfiCL4fVyhL1HLUG3DGHdoT4OUN0sZsXk7i/8n91coIILWkbliyNTbJ24GAF9wd5SF+PSbIBp2dqW2hb/icjv5MAHQ5raXaG/4w0DPAU/+VtTHFsI8vQguSZnTOgWV6ogE9Yt0dIGi37uekjIAV153wXQi7S9EaZyjQpGd+pbAKTRbJxrcs1lu26/cMf2H8uS7ppjKcffmJ+b5PyRz3dmpsN9YeBlxbAdd6B8pamrlLx0Ot5tEZSjtcV4ADlq+Y2UxY45JgW4hco4vSz5j789ySduXQfc0mXuUfauymDHHBM5Glw+e0JnVGqs6dJxqPm5mPxrI3usLoUqRV8BnxFJMtrD6Wjw4mdaVj2cjrtSbdsn7e+MbXCljUIbjzSVeCm88xsG/NcfabN5JslHEBea3NXiyaguzy/KpEjxG4iMINZWjyf5z1xNnpqxElxDXqILWSZIs+q1NiCVn6Ea+/7kz2/peMHEmkPqrXechYA07vxIsxFeL7Lk2qLKpZQd4xocUxZSiXFmF9qRLjmrl0ztsLkDfuEwuBIZUmlSX/AHn27x8S/k4JbPztzjgWU5/th1TJyBRKU9KMa6uR1PdlyyjCd5KgVuf+l/h8hdZi6wXenzsZndJUubkdeUsmWsOQLyWhSNUJU/Xmhvg0AjofDFpXUm0NZZQSqENniZ5l1v6LPviMevfHCCFComLz61VmNXd57hxAa2ibSA9QRk2Em1nsPUVrrkBViSclKtzVzaFjkhBTqzVqQQiqDWfHxppfsjs9OtdY+tXO/NHXveBCxnrdnNZqkfE/ppqY/VGo87G2n2VUUrmahcFrfrZtwDt05JWrK1cN/PwY0nuOXuOh+9pUEkVVVI7YIa9/m45+1qb7Ou9h7R36zV2sWFXz63l3z1A8HfSp2Yr/GmdtnbbUbGYfAxqTJuE5ZjJ3Q147Dc/8dIir04XWfFvlYlmxstCDLDt7++zzfcOEAUhrTJnuVeZT1LNs8ZOXayoJG2jJ6UjG6zoUnO1ImmarIw1aZcwxQm5wyXXX2hWYni7Lu/7Q3rHt91GRygNv9OkjTm4H0LTIaH8T1D1WhQaXByfW3P82jAKaV2dHnF1FCxuWXurAw2hajArTyN8OCv76rxY785ydNHQlshVfrcktGgMpcmkrHxa/kjbrfOOhr8OeTJunJlDPDrXwTPAe6xVL0ZZ3H398RaR2U0Zb/2tdXZZo2bonNfHFG8J0vtrWXxaEZeWx7OuGp3wv/4N23+g4Kb72pYFlfj39KQH2373OTnCduhbIQgFXbLkTQHoTKWlBQFAdnkjszZW8q8TD0vkpuo/X/tfXeYHMWZ/lvVYdLOJml3pV2twioiCclERRAZDAZ8Ps7Y/nF3Pp6Ds40xvnPkeGzjgG3w43MERxzgZ/vxEX78CCYdthFggUQQSCCjgBIKq11tnt2ZDlX3R1V1V/X0KiEh4K70jKanunumd+atr9/v/b76iuPiJfWlKy474fe5TA5fujr9O7YwSvva176BjGP7Dhs6rb9nSzafDeA6YkVgMxrJNSVEj3QywzFVfVGylcrtJkmLLsPwFgNxgHufyOHam2vxymZX1hDUebeue9sApSCUwJWOpSMLaBprWyYy+VS6rL4ukJ5FSIi+7IfMXiPaPqofI8PlhETHEtVHibYfEUVKm8ET98tbNB1loFGNLhnHcNmnijJxJKkVEoM1Vjt5lRMdZ8YIiaN5bIj5MwJs76RYv9mWkoYxVFPuRnoES3WRSOdnkJo3ROSSQd59EEcy1YT4jAXU5xiWnrRgd+fuwb9/17tO9jFKG9WC57IUXbs3/W5826QvhUPZukKuH67jC/5sXrkWHImtupmmmSIPEhZzcp17Ey5pCXDvkzn8+821eHmTAneCliRyTUDEMhu2pCaGHAgdRFzj3aM7k1UgQKJf//v1Ly+SVfZlvuNDqn53pZpE+xKvI16u6teQKJOvunhnvCygsuJxYX2hhYNRqBIRhFH9KiDouSX8StXvMcyd4uPrVw2Ac+AB3ZJz8ftHa4ETaclVv8oD5HJUSoseciEpBspqc5XOq75SMUnCDgnKAcO4sTWYPn0axjbW7vNrtve108lNqFC+5iPjW2vvGOxbVyjWEFjUQsho9EWqnzKe92dq4yCaJBiBW++TD0lLCBEI/cNfsrj2B7V4ZYsGbiR0blV+TFNNFLjF7a6aexMN7Dod0fl31X6Yx0Z/dQL0GiuXg2L/pDxSSXSw64MgoawIcDJp/eJltuMAj9CbiSwWRGS/2tbpCuMAkeUflDYeH0flfllvUF4r4xwktAAvxLFTfNx49QAYBx78S86USZWEqP4Aolb4kXPeCBXcnCjzT6rATgxFSYQ0HctDIVdBY9uUks/pR2Z0jK8cMsADbxcbM3bKqo07Lxq44WebC1/95+2Y2UZRGnGF4xFnvicArYDOEhZc5+RxxFJsh6CWyB1+6OksPvO9WqzbnLTcKc6l7DNUE1RnC6bVF9S1byQAr+d766COVJYY0ybI0zCd6EvcxBMHxkQ8ycPjvPG48lgUslfWO7q/qk4YVjwZ8RTAZlVlKJi06oxSqceJiyDMAlO5KF6IOZN9fOsTA+Cc4NEVWYSUJqQLzQyDaZZb/pYR4CPTIsGeHOwBUPHQMaEX37wyxPELlwzQbMeqnXt7Uqpoxo3uaye3JgB2Y7fn45JrLjvBb6kPAGj5ISm5JHHB+cDUs0mI6tRXrV+C+4/PZvBv/1GLdVtHoSVIgpwCErzGejo6n9UmbijAJstA6K8NvBL9hQZoxVkjS25MdxgV3PtseiAnhcYmI5vGNLdEzZTkGpt6yYmqZQr1c5ia5qZUFiKNmdantHJmgXkEsyf5+M6/9uO0k8qweCimvUV5K7pmHkpFJamh+2Z+Cw/lCJIP1Q8fm3c72Dxwju/55JK25mJ3+/jmfX6l+wR4U6ONYGQjlp4weceC42a95oUNKI0EWnH8mEvHARxVVUpl/en1SxSgdeCL0mzMInh0ZQZXf6sO67e62joqo4XhaeSpRQEd6Ho3jzMGqWnFDVqiQJxCRQwVkFQb6FGzCg8G1Aq8vNqyR1Zb0ZRIMiQmuJPg12TDaiDrVpzG628aA4NqgLe09TmtqL5KBPCQgnsEMyb6+OGn+3HmyRVYLE1CTJEUowkUaZMr1Dks+oMKrofJrUU0jD32NZKZsWPlmu0gJHPoAAcAy7Lw0zse3nrvX/gVj728GK9uo7AtElkYAQjTKidn3VCiP4dSTZEPF2A2wWOrsvjkt+uwfpsL7mpFQyK5QLPcUBxclpmDZr1h5nYbIXklXwIGPSGpQCfRAIj/TlQ5mAaoZUCMp+xKBXXiOW1fBF4trTTOSzF18HhQ6FY9BjRSLLb+Oi4QlNDI9ddKL4e06FLtgAfMaPfx3X/rx+knlUFDKWLr4GZJIIcJcPvxa4SInBNCgJBg0rgKbvzEZJx3YtcVfOiurZSOKgJGzd7fATTTgaFSCdTN7yp30yfC3udOKVf6wZh4c0taYTEhWGwbaorm98NwPgHqEmzrsbHiBRfX/6SI9VtdOZcyAWiS6IvAL8BqhuPjSKVRrhnpQR0jB1yB0ZDNYocxtuAkFeiGU6pTmP01+Tsaurfk25HCEvFtApkwG/Nv6BZbbevOJkC46YgaCgtkjgoFuOLjcoaQSISiIieECU6u1sxksMSMIVk+ggQcsyb5+P6nBvCln3A8szqDbXttwGGItXHdZEhOrr5oToRXSyz5g8SGDDREf6UdI1jyRMuEU3c1esOYlins96vdrwUHgJpCAVs3/nnjnsHG7+8eORE9Awyen0EQ2BCr2zJRcMf2kcn4sB0/WllBURISWW7hsNAswfqdDr5ycxGfuKkOrypwR8Lv6GF4ddmxahJTk6jqE0x5MD2Qw2OgJo9RIE3y7jSqknyt3d30Y1KxHecmGYpJFd/WH8oaA1EuuLpzxA/Zl7DSOl1JWnLjAdOi86gUXJw7zqIccysSHbgHzJzo4wef7ccXPj6A6W2+SBA3KAozuTmT5eO8AAj9OJcFBLZFkaUENZkyLv+bqZjVkfv+4ysf3+geALiBA7Dgqu0enI5yOGZVe7H7nrI38N5S71Y01JaRcSvIuD4ct4KSD2zbSTGuiaOQl8KpvDPp5pFmgI07bHzlR0Xc9WgO5VBW4VGjFlR7SBfQsOImNbE0ahIHaFKsN1KAroAMDbxaLkl82ZqWl5RQTK3QNFIH2vjox+v8W72OaYiuf8eDxCi8o6w7dDVF24aZfcg4ESmAFFJhoaI0OIe02Fw6nSI3UMjwIlpDaQgScLQ0hrjs/BFkHODLNxexaYcNuEr/ln9oAKhyXYUCR8vYEJ2dNkoVB7AJSNZFjgJNro+Fx0/D6Qtn3POu2RNWAQMH/LUeMMBPP3kCONuwFWTpNaue3G4xr//CsXQHcjVlrHgZuO2hOpQ8C7u6LDQ3BqjNM5y/uIyzTvBQzLMocYjawKbXLVz/oyLu+q8syiCiuqkO6v1RFGmthWOZWHIE1cEd/WEU9EE12JP0JIYuMbCsGfcY6KO2g/M6I/oRAd8soWzQGcRW3XAwCdO2Y5CLWWcxRWFcDGij9JvUxiPpUC6bEs0e4iIOwqLkLGFExHUIrZtVODI2wyVnjQAcuP5HNXhthw048QUV8xxnnljB+YsrqM2HaG5g2NVFUapY+PVDtVixxkZo2ZjQmsXMCU33zZxx5jWr1uzcdvK8WYcf4ABA6HR0bn9q2+Qpx6/1+rZcONS/Dnff5+DnDzRizYa8YIZM3oYQ4KHHszh3SRk3XDWEcWMYQIEtuyi+dEsRdz6aRQUyTl4F6jSAa5IgxGmKnhgFKZUziVgOTE2B1fbvS/s2pENtv45bQ305GECngFV08JiyGPsVLzfzT9RxEeAjGgLJucXbMhlX0XNUIr4uL4QwAm4lJk1QadU5NT6EQgSDKONiXSAAYCIVA+BAyJGzOd5/ThkgwBd+UIOtuyyAcowbG+KrHxvCeUsqaKsNxOdyC0EofsvjpvXh1j+EuOPJRhQa52PJ4pPWPv/8c9suPHvBQRmLgwI4AIwZ0wziTruR5J7o+PR/tl96230EvUEBJE8EuMOKeDBgRx/w2z/k4IfA1z5awo49FLfckccdj2bhKXDrSRQ6JUlacy1/zyZiYokexLE0sCZn61RZb5i5GRFIda6tAF0F3v3gl+CA8W1gXVNB0s7X6Uf1wNCsMUdcwxswrDqJ3ke32MIRFXEcLiZGMAJORTF9UVxIOpk81LIY4/IUHFRePwcnVFpxUcCHBRwZi+HSs8sAB26+I4edXRRf+2gJ7z9nBBkwMJ8gDF34gQs/yCAILUxt5fjiP47g5LkhVm1t+f1pS4+7cfUr2w/6ez1ogNv56eD9P+1H49jLn3ylo62Q71laTxgqjKCnYqHkE0R5YjZF2ed48LEsjp8Z4PYHs1j7qg1Pmc4IDQrMynOW1ppaMGXCGMwq80xfR0dlno3Gs418E5jgNTTvBNiNbVS/bxKQh4BvRAE/knQUeTUtMfi2jGoSBVxxQKSSqMimEe2MFZXIkmv8nCGe18lUOoaaHAEWzQriEHcFlV5CCZd3AyooCw9BiCgM6lCOS88t45jJAW5/KIt3n1lGhjAwDwiZBT90UPEzGCnnURrJIggsuC7HOSfWPfnIxkmXf+WHdw5/5RN/d+QBDgCk7ko89sTq4a9fPcf75e13o6u7F33DFF5IMBxYYlISJ4APFGyGSy8awQfPLaOujuEz3y1ib7+OuKTWTWKggxiqibLeNtEyAzXKEjuVsRhj5J8gHexxNDNBTyKwav+nmPE0QB9UbvhoQriyvAa4SSTTRL6nzrVh0hROuAluIko7WDQhFxJ9InNMUcAoOGVxopa8OwhZUaUNEI3OiBC/suSEMYAKrj7QT/HD3+Xx4DMupk8I8eGLh1FwGVhZDE7GLJQ9F3v7iujud1CoacD8SRd7N19Nh8eMP/VQoHpoAAeAE+d1gDG2su/dJy164bm/5Hb3lLDtJR88lDw8ZJg23seFy0q47vIhjGlkuOgMhmdedPGzu/NyXaOky6bTEg3cEnEqgSqKWCJZzyShdWtcXJcGCRK8XF1K0honLHsVeDXakgzzq9P3Z865thGl9iQstugjEc/QJcSYp8f5KQbYIxqCmLsTmBaby7UsFeil9g3OJHWJpUaxJryw5FwqItF+iMpZwsBx6RyLr4ARgjv+lMX9f8pib4ni+h8XUfEJLl42jI6xDDQUa5ky7uOFjS76B2twytIFI/m6GSsJOSA1O7Ud8pl1dbXI5TLXnXv2Kd+94MyW8lkL9oDSIbE4oe9j4ewSfnBtD77+0QE0FkKwCseYDMMFp5bh5plckk6hRLfgSXmQRNTEsN6aUmJELKE5mrr1TuPTSa6dPIbE6okAsSYfRu9hDtIknkez8/rkhmR/1XHJ5Cs9mqne24hkKqoi/xpj+prphOprbsZqjBYB1fuYZq2jkD6NuDg0bq62AZEzXx4heGB5BnvLFuBS7C05uO6WOnz8Gw14Zp2NjOsjl/EA0o/7nh5A13BLeeacxd/lxLkul0+fjnZEAQ4A2WyO0dJj17eOr7lpa/84b6CUgW0DC+cM4caP9eHckzy4lCIMLPBAWKApbQHmTgnF9Iykc2lQlDibn0DcakSWINckQDOoo1vp9MnDicT/FKBWTQDQMTxaS0X1gXOUtOQqnnKMnowVh+EjKTmmF4n9xgMxuA3w6wBGMjiUHgiKjmE60Gm8X74/LGDtaza27HDE72qJxcAqQQYPP1OLz93SgBXrbHiBg0LGwQXLar26xsabfnT7U9cX8jm2v+9vX23/wfz9vcHki8MtfQ3PbNyW8eqt8mkXLhwgn7ikHwuOCeB7LnzfEQVlQGARhkKe4fXdDp56ISum3ETLimjRS2OGfDy/UtU2iR7J2Th6H9XUFT3Ziiaeo20Sz7Ih2rOqz63NsFHbSlZUs3sIIdIXJiDafn2Wj7G+vT7IaHWGYzIhzLirRNep+Q2ERO8hUgs40iZMx5SMy/fiGhXj5l1KP15PUUiheOKY5CQXBuoy3P5gHvcuz8PnNmA5gOUCtgtYNrbvyeLFzUV09dYj77SyBfPbr1+2oOZb8zv2Vr79/QfeED4PmYOr9tWrL8NDDz0yMufUufcEJ9d9ucF6GHM7qJB8fBcho7CsAI5dgWUxuHaImpyyTwlqYlAUmUwlL9JO8O+0uiZG/knVD5SSB679QEj5UasikhHn1qw9UL1dtXHoTU1oENswIp6R1SaJqCaIiEDqASISKy5GdFPWSLEi6y7kQeFLSrVFqi4W4aa1V/o44plChMi65PKWoWjK4AjgBUQYL+oAVk5YcsbAAw/PrbcxMmBj9rRFvJW339P5Wnlk0dKzDuEbM9sbBjgAzJrRjlIwYcO4gvOxrj0n/OjH9z9Gp7S4OGlGFpxw5NwyKGEA99E3yPHaLjuelBhRkaSKgtixTPBugsQ2qi2JoZwkaQlSgJ4AKTRLqQ8ErnH6JIbTnM+DA7P5iDolxaZKFdHAXSUvGqpIAtzRZAl1LI9UGsYJKOIELZFYRaLCOypZi0I6pdK5FMqKWquTSIVG5a1wEFCAhegYH6K+yNE1RAHLhe24qHUIKKc46Zg+dLRWUGx8N8s2TP/Y7LkdG9au23M4oHl4AD654xjwyose3IW33nzHuvzyZ+d9p712L/I2RXtLCXYtQ4ZVQAiwZqONe5/KSXqSCMMbQR4SUQybmDPiLQ2YuhxorEZsgF3AJW1SgzowNXJpNBIDNzkQ0qy39iqplY8WzIkPSBwv/+P6wNFD+NCcUaLxbQV+lZlIZEUpqIESRzvFfi2ySSS4udCxQSkoZxqHjx1YsViZDPAQpcDwqJIW8yguWlzBbx728KcX8iDERs4iaM4yTGoCzptXwNlLmmHVeJ/69LMn3OqueC28YOmBh+P31Q4LwAGAZOZjw+Zd4eUfeN+muVOfH3zx2ceLvYP9aGqwwTiB4zDsKXH84r4i9va6QFaboQN9po6mnABVZR+MoI7uZMIEKNWsKVAN3Cr+mABo2v4qX3I/3ueBWHE9eKNbY9WnQG3q27FqqIAOxJp2dFnS+ipaEhXlhACfGjkG/ZCUhWoOaWzt9YCQFslUaQGItfJoTicXqy80Nfi4/MIhvLKhgM4Kg5UF8i5HweUI+Xi49WcMTp0xf9OdU3eFmfzUwwXLN6aiJFtDbQ4uKd93+iknXnXh+af1jGnIw7E85DIeAubhob9k8MfVNYDjAsRBvMxIUh4UWzaRygnMgE3qzByde6NaOUlLvEpycCPJKg3xKcBVnFz6bDgwWI/e+IF2GrJgIvkqOS1N9UkeYwwUxFp4lIVYpZggFdRmLXJUT4pQy6SEDnzPxZnzfZy3pB81Vgklj2GwzJHJFjFn/rKe1kknXrWr07sP9NAlwbR22Cw4AIwdUw8AGBkeuP3Ydy20u8eO3EhKdzW9un0Yj6zK48d/aEBXf05UbtEjK6Saf1PlVBrlH6olwqT8NxqII0uuPfT4e4Tj6DhiDphof8LBrEZ79fZoTaMUKloZWWsjMqlNMiaaM6lTGT1QlDxfj2hCt8pmDoxiM9Wl4SgYmHYHGAXwJP5cyByVMCRgxEIQOmioDXDDFSOY1LYH96xgKFcm45xzTus6Zcmiz1Uq/u2trS2HE44ADjPAVcvla8H83l+2Tl5Kn135yje+eGtf0/KXGmDlsrDzoshiNNcuQksMIwJtbiXi51jv1hZq1c6sSqoa1aojdjhTuHeStlRFM1McTCSOHfW11qqoeNShYG4epANfpadHYXWiMgQ11gJAlZcwIp5J3g4N4JpTyiJaIz4sckB1miK/zEjFkdsEMpYXTVYmKFeyyDrAZz8wgqVz92DtnsVdF5y39NqBkfCX48bWHQkoHhmAAwB1GnD99267NQibQo8c9+3WsbsaXZtiyCfo9Qm8kMpMHVlAQ0Oist6KexMk6pqoB2JLnrrsNqoVEwW6SJPWrjmNZycpSpWDCg2TiVMOqiWscdqbmDw9HgRV9IRoqbAyohtLgVqJNxIrI2beuPyI6HgSfT6POLZJhZSqEoXuo2sWOSZ+YGOkkkGl4gIo4sRZY3qWLgg/S/xbf5VrHqXu2mFobzjQs6/254f+Hxac8aGX2sfVbu9owjl+qTczXKEoBaJ8rpiWBMSIE/VNLCJEFrWOfFQKgsoFZnU1hVTPmtf18GS/3qeCIHr5NKIFdIjxvmll2sz3IbI8G6jqM4M9eqCnqqoWRdXdJHmHiSZBJykY0o6XQXxi0i2Q6oSySBKNPlursqs9G1P8kLj+iELGNeLVyZxThKGF4ZE8tuwsIKCzBvPFKVcFQeY3DRM/wveHozfSjpgFV21eG2eEFn5PJ7UFk8fj1z/+/xuylUpOpliqyaimdxfpKimgNcPyWkg+AQyguh/auTpIjDEG7eRoez82mZiH63reAU061k9FwiIDVZyc6DsTNCV6BkA0C6/SYC2u0RN1qYp2RBZcJFOBa0sXQlpsJt5HTGdLOKLR1yUimFGklAKFXIjOXo7u8uwyy0/+571DtXcNlcpvKAx/IO2wqihp7e8vuxQz2svhcbOOvev0hbnLrryktmyTIVAvBAk9UfSFyxIBGiWPOXjKQlGoVlLM9S2ro5bqfVVLFupRA8FQU2AOAO2pGtRI/5z9No0DG93c3J96zmiDJ5F3on21UFMHTQdRz1GRSVgqIFSVw5I2kZnEiV2QhkcWgXKcANlMCM8fwdqd7eU9w/WXlbyZdz27rhSeesb7DifUUtsRBzgAnHzKB9Dc9GB4wuIVdw+z6f9w/pIpwxcu7sHUcf1AoK0KIH8ylTFo5pEki2lywwrHfNukJqlAR7yR8G/NY6qcSfUD6n/dPjzPAwC6jl8+ys06KskWWV1iAjbpKOrnJZOz9H6uVg1O1lgxMwfZKM/6qhFRnUrCYFMG2wqRcT1s7fRw93IH3SPHD584Z9I/fOaqRXe/sHlFeOWHD37ywqG0I8rB9XbTdx5DF/08vvW5h1+ZPmbe5lOPHTrr5Q192fVbHGSdUNwOqQNqUeSoWDjNonJVtEQylV7qeLTV0swyxBqHjbZJ+iAgcdKVzrGFQ0uM48T7J5Oqkjw9mWQ1CgdPe2Df24AMaGlcmUKvCKBzb3WOqq+oTaKOaF48gKuMQPT5ifsGkUldsiS2bYVwbA+gAbJOiJXrXNy/6vj+QW/uv7z3opbfD7z+Ct7z7qveLNi9eQAHgFV/vhv/9Hcfxedva1hb8sfvZE7HqZWwnL9gwQ5UfIbu/hxc20bB4nA1cJvLj8ScXDmZVuQ8xkGd0YENDYhmfzI7z3QgkxmHsdOpHEyigz3V0RwF4DDplyFnIg30fN+DABrdAmLtPnEHUqAmaokadRRJAJ8IPq/3x++A6L2pxZBxPWzYEeC+J7JobW7F3NlL9565oOmTZ5418Bsv6+CCC654MyF35J3MZJs89+MAgFt29d9m2ba9+sUV35wzpqvpcz/pwas7KIoWR84S4I5KrRkPXmWtxQ+lViGotoRRPEmjIkDC2Uz26Ret/9pGX3zOwbmS1UqgEeRBLPeRlPOUU5kMyZtOpQCufmz0GTJDkENp1SLRSk1H45FzKZ1HBlFlVqpeRF+vPlrASmYgZitYvdHGr/4wFwsXnt01cfySz+eC4DZCGt88kGntTQe4ahPG14GzkV+cd+ZSMrin7xs+eaQpZzE0ZkI4svZhqDmdkQxF0/l10uE0rZT+iK232h8PABL3IQF2A9Ca5ZKbPHneQbZ9JWDpagrRPoxrCVfR4IhTu6MIqdhWoI7BrehFHIWUAR0gnmWv/ia1fghlsW4OtbIbAfdteJ4Fzj20jK3H/7n0nK7ps06/tqcPvxjTsO8i9UeyHTWAAwChOXDec6tbf2rwnrPqvxMMP9HQ070XXsBQqlCxqkB0C+dVwE5VTSiMAE9SDtT5aISnFHAZx+u7ScpB0AZQCkhTAZ8G6JQ+o0ubcBx18VHeX7fu+ulQr0kUeQRkxiCBrGmiKTDR8fIYUBDKoGbyUwA+tzA07CAIKTw+AScct7h3fm7BZwbL/q8njju8uSUH244qwAGAkEaURsLb371sQU/f7t1Tg2DKTc8+94yzdzjAmu0OCg6Fa/OoJFtyJTSjwGYKh9UBmqQoVVq41m9eY/z8Rqz0Pr8HjBrANKy7HnEkeh9Xd5YYoPF7KuoR54TDsOVyP8SMe0qVdZYrO2hXJVbLFr6FZYXIuRW8tCmP7p4C5s0/ybcd+7NNrcs22W7uAUKOOryOPsABoJCz2EtrXr3vby8+z92ydfPw3Gn2Ld1dj5OfPTRIN22pR12GRY6kDrCqSB6pBrfOwyMHMvH5hpowCnBNDT25b3QSvq+BkGZ9zXwQE8SjhvIT1jrKS9E+Xwc89G0eDwM1NBRlid+PRzIjISIQBBDU2D5e3OzhnqfGsDMWLeJ1Y6d/fPr0jl/t2bPba2mdfkSwcrDtTdHBD6TNO3YmmN/jTWoff/ucmdNmz5o55YtzJ7ei1vWQdTgcm8O2zAVcI7UjTTFBchCYnCPp4GE0jJKUjgS/N1ATbR6Y55nUrpOfZUxGNj6HVOnmPLmhDw5d4zae4+1Y55bFX3XdHGJ/EFL4gYXhso3efhuWMxUTJk7/Ym3D5Nn5mqbb163vesuAG3iLWHDVJk2ZAQAjTzzx8/VLl+a+uerliW5tpuu6Z9dstcojFVgWRdmXxR4T/LoquAMYMhlJAfb+8Gcs2c33YcW1AZc6gvbXopD7KH7BaJILRqc16iIMtUV/CxXRJKLEGoFSYUhc81uim8jYQwgCz7MAHoJYGZTYMeHYprE3bH5p5JuzK+vDCe2L3igEDns7zEzy8LXf/u5ufOiD78OOXd033H3/8k+tXPl8pjIygD2DHroHHOQdDtfm0RqYadqyCmwA1fqwLifGiVXEHCxUW0pa6t66Fk60PqWFR4laUgtPzr5XgaEqZ1m/Cxkz/jWplGpKkr6tLU0eZV1SlX0ZPxt+SVVClUxB1s6zLA6bMrhuiKzro7OHoH+wDo2NRXRMn1dpnbzs27lC03XPPHkvFiy96GhDJrW9ZQEOAF17B+DQEIyTb6zfsHnRs888QO3s9kXX/5zY7XUWChnAtkxwK3CN9scmB4AetdQDQDrA9UVfI9DTRFahFtg5FIAno6cGYJMlLig/IIAbrw2A89Rf3giWEWG5bcqQy3ioq+nFr//YHLTUta/424vPZy3jJ68IQnJtLsNhu0cml/twtLc0wPW28a+/QlMDLa56xf/pD37b836vdycN/DKITLE1o4vyJD0XQ/2xRKkvprXEwQCc6sA2w/NGxPJgLLgCNWCm6SqgGvVeeCrQdYCSKK04CfCYsug8HFDXIMofqzVd/ZChWONgUnuBPb1l6n9u6a6/sibjDV7zj5cebUgcUHvbABwAnluzGbl8duy2bTuvee7Z5+YGld73PvPCBoxUHOQzlii5IYGhInChllgEVDujBwrwaJtqeeFUD/mTyKpHvP8gAU4S10Q0kMfWW1+S/OAAro4FEEmCIllKvFbH2xaHY/voHQyRqZmF8c2198w4Zu7a+obx3/O8cneuOONoQ+GA29sK4Krt2LEDrls3qW/v89/989Ovvvfh/1qPoaEBuI4F17EEwAkQBBx+CARhFNqIuXQCRKkAjzi2ArZW2YoSw3rrIBZ3iTcA8BSwKzBbaQCn+mwnbj5TyaelZVZg55wgDAm8gMIPhUUQ7x+AIEBNsQakZias/Jx7Fs2f/cm+wcGtbW2tR/unP+j2tgQ4AHC+HYA9bfWa7fO6uvxrVj7/11M3bVyPwcEBZFwbtkUwUuEYHGaoBOIPtShgW0TODEqCG1H2nW7dLcNyk7gvQVMMtUbp7VRm99GDA3jkI2hUxaIc1ErMaqIyAEZNxxKQlprEVtmylNPIQS0GAsDzLfSXHIyUCSwLINxHoaYGU6d2oK5p1vIhP/M93+54ifBg4wmzmo72T35I7S0lEx5MI6QdADZyzjcCWNs/5I1ftmj2T55fvW7a2rVrrYYi0F9meK2bgzIg6wgrbsma1jrnBSATlrgmlsnuxGx13SE1ntN0bx7HUdKipckoKo/+086HppNrgnlVBFb7eJVkBS7XlrfifBWLcjg2Q9YNELIQG7bn0TeYRVuLhZkz54VjW2ZsrCuU/qWtY9EuAOv3V/vlrd7etgBXTf4A6wcH+9YHQXgupW7baaecdOeWDU/V5uy1BSfXg0eeGoPGgrhl21xLt5XmjjFt+Q/KIxUmWVRefqLB0fXillEzamNXi9ypKQSJ0zkgsvYIoulhVIvsGE6j/BzlJBIgDtbImCUlBMRmsKwQjh2ituDj/qeH8PTaGix615TS6WefMuDawSX52ok7CLW2vt2BrdrbHuCqFYv1YIxvXbyocfvg4PCc5ga2sLZ47M9896/B5l07Gzs7u4s2C8Ryd+BwbQuUEjDGETIglGlzNoGxYiCTJchUpp2iIoqyRNYbKhtPWdv4bgCg2rorC6yBPrLWqtCAdvegRARfdMuveLZ6D0qFgwgALCAIQoKQETDKQWkAgMG2OXJZDjjjB6fPmtYz6/g5dmNN9oq2CZOfzuVr+gGwdwq4gbdQqP6w/DHCorKM3dM7pqnlYTdTN2PbX38y9cuf+dANF5y94OWJbeNWN9bXletqC8i6QCFLkMsQ+CHB0IhYh5SzmBMLpQEIQ26oMJYEt22JhUotSygoylDHYXFVokH9E43oD51zy3MZB8IQ0kFGNADja1BOo3ititgTAmQchmI+gG2FGBoh6B8kGCgBxCogm6stF4otq8e2Lnp50uwP33DTzf936pj6uhltba0Pb9s92EsIeUeBW33X7+j20rqtcB2b3Hnfk2go2lZjfeEWHlZm9HS/vnSgt9vyvBF0Dpaw4uUyctTB+AaKmhwFIQQVn8H3OSglyLhA1qHIuBSua8F1KGyLRJKkH3AEIYsGgxE4oqLiqiUHhSWdRVOiFACOgB2IASIGEuA6QNYFsi5H1mXIuAy2xeH5FCMeBaUcxVyI5oZhcDKA1Rvq0DfQgFwuiwltzeExMyY8WV/rrg+DwY9l3VLYNOE0cBbwfG3H0f6Jjmh7x1CU0dq8YyYBMYUO+vv7r3Qct2FgoOfrK59+3O3u3B4um+wcb9fghOdeKIGzEvIZF8UaCy9v9jFcJijmAcui4A4iy+3YBK4jwMekxa54HEFohsC5Vtjekp2R/Ee14I5masoeR7nCwDiHbVEwW9wxQrGKq6QZIWpyPoaGQ2zakUfGAWhjgEKbjT0jrVjXWftcS95+flxru3XamWd4zWPH/Hu5UumtrX3rRh2PRHvHAzzZ6urqAKAXwEcBYOum++Ha5NTTAnbOjIn+JTmrPLMm64OV1+HZzcPY0WuhyfeBkCDnurBtB65DkXEJchmgkBU1QLYMMwyUQtiWkCIV7VAOIyUAt2K50qIQ0pzGpy0K1OQ4PI9h54DQNvMZCp6xQCmFaxNwxkBJBTm3jJbGCnJ5DztW1mLZwrmYOD6Lxmb6ao5bdy5F3SOOzZd/8IIzj/ZXflTb/ziAJ9ukqe8BgOVd3T3LCfBEEAZT/XIf27R2E5t7TMeUJSdP/vyO7dvQ0mDBG94LsCE4lpi25doWmhoCZDJDeGodx+u7s5jcQmFbNkIm1oykBLBk6odtcRBJORxbavGURymrjs0wefwwuFXC8jUZ5G0bzQ0UYeijXCEIAwuNDfVoa5+IhmIJzePGwe7b9E1G7c3HHbeQto1vpI5jbeLAw3OPbTjaX+1bov2PB7hqTWMbAeBh9Xrr9j34woJM/frXdq546hkLjUXqTxg391+zLjnbdQTf3rpxNcbUd6JYWwZ3MwiQQzbDUFcTonOvh7IHZBxBLVybALCRdS3BqW2h3rgWx4jH0LnXwoRxLsY0WOgaDjAQ5GHRDJqa6rF4wfEglCKbsVDIWY8Ws4PfqS0MO4WGeWhs+5vlP/x6pS9bOPyVWd8J7X8BPkqb1N4MAH0A7gWA3Z27AeCv4KzFIpxV/ACdOzfCdbqRzQLZjIORCvPPWLbw+nENe9+zcfuQ37k3j3yGYnA4RMYhKBQs1Bct1OaFo9hfslDIhtjZW0aJ5pxJHQ33O9bj11NqO6A2LMtBbW0N5s6dDctyYFmUOo7VCWBzc/P/AvpA2jteRXkz2+oXVoJz0lKXea1uw7ZB/npnEfksRd9QIACes1FXpCjmGLIuR8+AhUIuxJauYezuLpDF89v7GeOdi5csPNp/yjum/TfSZXVqVyNd6gAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNzoyODo0MSswMDowMMoaPswAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTc6Mjg6NDErMDA6MDC7R4ZwAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 255071000
{'hecke_orbit_code': 99079535433089871, 'n': 1, 'trace_an': 16}
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id: 255071001
{'hecke_orbit_code': 99079535433089871, 'n': 2, 'trace_an': 2}
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id: 255071002
{'hecke_orbit_code': 99079535433089871, 'n': 3, 'trace_an': -2}
-
id: 255071003
{'hecke_orbit_code': 99079535433089871, 'n': 4, 'trace_an': 4}
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id: 255071004
{'hecke_orbit_code': 99079535433089871, 'n': 5, 'trace_an': -5}
-
id: 255071005
{'hecke_orbit_code': 99079535433089871, 'n': 6, 'trace_an': -2}
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id: 255071006
{'hecke_orbit_code': 99079535433089871, 'n': 7, 'trace_an': -4}
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id: 255071007
{'hecke_orbit_code': 99079535433089871, 'n': 8, 'trace_an': 5}
-
id: 255071008
{'hecke_orbit_code': 99079535433089871, 'n': 9, 'trace_an': -2}
-
id: 255071009
{'hecke_orbit_code': 99079535433089871, 'n': 10, 'trace_an': 12}
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id: 255071010
{'hecke_orbit_code': 99079535433089871, 'n': 11, 'trace_an': 0}
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id: 255071011
{'hecke_orbit_code': 99079535433089871, 'n': 12, 'trace_an': 18}
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id: 255071012
{'hecke_orbit_code': 99079535433089871, 'n': 13, 'trace_an': 13}
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id: 255071013
{'hecke_orbit_code': 99079535433089871, 'n': 14, 'trace_an': -3}
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id: 255071014
{'hecke_orbit_code': 99079535433089871, 'n': 15, 'trace_an': 7}
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id: 255071015
{'hecke_orbit_code': 99079535433089871, 'n': 16, 'trace_an': -18}
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id: 255071016
{'hecke_orbit_code': 99079535433089871, 'n': 17, 'trace_an': 10}
-
id: 255071017
{'hecke_orbit_code': 99079535433089871, 'n': 18, 'trace_an': -19}
-
id: 255071018
{'hecke_orbit_code': 99079535433089871, 'n': 19, 'trace_an': -6}
-
id: 255071019
{'hecke_orbit_code': 99079535433089871, 'n': 20, 'trace_an': -24}
-
id: 255071020
{'hecke_orbit_code': 99079535433089871, 'n': 21, 'trace_an': 8}
-
id: 255071021
{'hecke_orbit_code': 99079535433089871, 'n': 22, 'trace_an': 0}
-
id: 255071022
{'hecke_orbit_code': 99079535433089871, 'n': 23, 'trace_an': 32}
-
id: 255071023
{'hecke_orbit_code': 99079535433089871, 'n': 24, 'trace_an': 45}
-
id: 255071024
{'hecke_orbit_code': 99079535433089871, 'n': 25, 'trace_an': -23}
-
id: 255071025
{'hecke_orbit_code': 99079535433089871, 'n': 26, 'trace_an': 33}
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id: 255071981
{'hecke_orbit_code': 99079535433089871, 'n': 982, 'trace_an': -121}
-
id: 255071982
{'hecke_orbit_code': 99079535433089871, 'n': 983, 'trace_an': 37}
-
id: 255071983
{'hecke_orbit_code': 99079535433089871, 'n': 984, 'trace_an': 20}
-
id: 255071984
{'hecke_orbit_code': 99079535433089871, 'n': 985, 'trace_an': -110}
-
id: 255071985
{'hecke_orbit_code': 99079535433089871, 'n': 986, 'trace_an': -25}
-
id: 255071986
{'hecke_orbit_code': 99079535433089871, 'n': 987, 'trace_an': 103}
-
id: 255071987
{'hecke_orbit_code': 99079535433089871, 'n': 988, 'trace_an': 12}
-
id: 255071988
{'hecke_orbit_code': 99079535433089871, 'n': 989, 'trace_an': 112}
-
id: 255071989
{'hecke_orbit_code': 99079535433089871, 'n': 990, 'trace_an': 0}
-
id: 255071990
{'hecke_orbit_code': 99079535433089871, 'n': 991, 'trace_an': 136}
-
id: 255071991
{'hecke_orbit_code': 99079535433089871, 'n': 992, 'trace_an': 9}
-
id: 255071992
{'hecke_orbit_code': 99079535433089871, 'n': 993, 'trace_an': 15}
-
id: 255071993
{'hecke_orbit_code': 99079535433089871, 'n': 994, 'trace_an': 4}
-
id: 255071994
{'hecke_orbit_code': 99079535433089871, 'n': 995, 'trace_an': 69}
-
id: 255071995
{'hecke_orbit_code': 99079535433089871, 'n': 996, 'trace_an': -75}
-
id: 255071996
{'hecke_orbit_code': 99079535433089871, 'n': 997, 'trace_an': -39}
-
id: 255071997
{'hecke_orbit_code': 99079535433089871, 'n': 998, 'trace_an': 205}
-
id: 255071998
{'hecke_orbit_code': 99079535433089871, 'n': 999, 'trace_an': -90}
-
id: 255071999
{'hecke_orbit_code': 99079535433089871, 'n': 1000, 'trace_an': 340}