Embedded newform data - 81.10.a.c.1.4

Formats: - HTML - YAML - JSON - 2024-06-07T16:18:14.456490

• mf_newforms •

  Column	Type
  Nk2	integer
  analytic_conductor	double precision
  analytic_rank	smallint
  analytic_rank_proved	boolean
  artin_degree	integer
  artin_field	numeric[]
  artin_field_label	text
  artin_image	text
  atkin_lehner_eigenvals	integer[]
  atkin_lehner_string	text
  char_conductor	integer
  char_degree	integer
  char_is_minimal	boolean
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  cm_discs	integer[]
  conrey_index	integer
  dim	integer
  embedded_related_objects	text[]
  field_disc	numeric
  field_disc_factorization	numeric[]
  field_poly	numeric[]
  field_poly_is_cyclotomic	boolean
  field_poly_is_real_cyclotomic	boolean
  field_poly_root_of_unity	integer
  fricke_eigenval	smallint
  has_non_self_twist	smallint
  hecke_cutters	jsonb
  hecke_orbit	integer
  hecke_orbit_code	bigint
  hecke_ring_generator_nbound	integer
  hecke_ring_index	numeric
  hecke_ring_index_factorization	numeric[]
  hecke_ring_index_proved	boolean
  inner_twist_count	integer
  inner_twists	integer[]
  is_cm	boolean
  is_largest	boolean
  is_maximal	boolean
  is_polredabs	boolean
  is_rm	boolean
  is_self_dual	boolean
  is_self_twist	boolean
  is_twist_minimal	boolean
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  minimal_twist	text
  nf_label	text
  prim_orbit_index	smallint
  projective_field	numeric[]
  projective_field_label	text
  projective_image	text
  projective_image_type	text
  qexp_display	text
  related_objects	text[]
  relative_dim	integer
  rm_discs	integer[]
  sato_tate_group	text
  self_twist_discs	integer[]
  self_twist_type	smallint
  space_label	text
  trace_display	numeric[]
  trace_hash	bigint
  trace_moments	numeric[]
  trace_zratio	numeric
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 8100, 'analytic_conductor': 41.717902729273725, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1]], 'atkin_lehner_string': '+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [81, 1, [2], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 150830150253429032554069738116, 'field_disc_factorization': [[2, 2], [3, 4], [7, 1], [11597, 1], [5734551486260929875971, 1]], 'field_poly': [965565184, -2825363008, -586568096, 3423248, 2487472, -1276, -2930, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-6964475904, -5051621376, -507133440, 22804416, 2299752, -36072, -2832, 15, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199422513233, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 843026984064, 'hecke_ring_index_factorization': [[2, 7], [3, 18], [17, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '81.10.a.c', 'level': 81, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '9.10.c.a', 'prim_orbit_index': 1, 'qexp_display': 'q+(-2+\\beta _{1})q^{2}+(224-2\\beta _{1}+\\beta _{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '9.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '81.10.a', 'trace_display': [-15, 0, -453, 343], 'trace_hash': 127100712633706809, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.184', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '145.659', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4395.938', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [8, -15, 0, 1793, -453, 0, 343, -7239, 0, 510, -99150, 0, -32435, -394824, 0, 328193, -415539, 0, -85277, -1855164, 0, -529359, -1064559, 0, 2293229, 1218156, 0, 612862, 1309053, 0, 2359819, -5760063, 0, -981801, -15533277, 0, 8195758, -39490203, 0, 16760496, -54747318, 0, -15249608, -166254963, 0, 1195260, -156295545, 0, -15239583, -315590163, 0, 19773358, -262758114, 0, -3789885, -470339790, 0, -55408560, -307774074, 0, -69192125, -457218462, 0, -201794239, -482470359, 0, -14328044, -915409575, 0, 229271934, -619800696, 0, 299306599, -1022736000, 0, -119954093, 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• mf_hecke_cc •

  Column	Type
  an_normalized	double precision[]
  angles	double precision[]
  char_orbit_index	smallint
  conrey_index	integer
  dual_conrey_index	integer
  dual_embedding_index	integer
  dual_embedding_m	integer
  embedding_index	integer
  embedding_m	integer
  embedding_root_imag	double precision
  embedding_root_real	double precision
  hecke_orbit	integer
  hecke_orbit_code	bigint
  label	text
  level	integer
  weight	smallint

  
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-0.24477237494731816, -0.1346112824877525, -0.12235251994317303, -0.3205826443118334, -0.18776897683892727, -0.230333046196988, -0.1472231628239614, -0.07568226064112124, -0.2551960210540753, -0.26838855044072607, -0.19209770553643638, -0.4051803455940631, -0.35200249500111014, -0.10469386387475926, -0.21297966865486184, -0.3012384893689084, -0.13694274546481466, -0.11050556076092413], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': 0.0, 'embedding_root_real': -5.664318722309798, 'hecke_orbit': 3, 'hecke_orbit_code': 9007199422513233, 'label': '81.10.a.c.1.4', 'level': 81, 'weight': 10}
• mf_newspaces •

  Column	Type
  ALdims	integer[]
  Nk2	integer
  a4_dim	integer
  a5_dim	integer
  analytic_conductor	double precision
  char_conductor	integer
  char_degree	integer
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  conrey_index	integer
  cusp_dim	integer
  dihedral_dim	integer
  dim	integer
  eis_dim	integer
  eis_new_dim	integer
  hecke_cutter_primes	integer[]
  hecke_orbit_code	bigint
  hecke_orbit_dims	integer[]
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  mf_dim	integer
  mf_new_dim	integer
  num_forms	smallint
  plus_dim	integer
  prim_orbit_index	smallint
  relative_dim	integer
  s4_dim	integer
  sturm_bound	integer
  trace_bound	integer
  trace_display	numeric[]
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'ALdims': [16, 18], 'Nk2': 8100, 'analytic_conductor': 41.717902729273725, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [81, 1, [2], [1]], 'conrey_index': 1, 'cusp_dim': 75, 'dim': 34, 'eis_dim': 12, 'eis_new_dim': 4, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 167772241, 'hecke_orbit_dims': [4, 4, 8, 8, 10], 'label': '81.10.a', 'level': 81, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 87, 'mf_new_dim': 38, 'num_forms': 5, 'plus_dim': 16, 'prim_orbit_index': 1, 'relative_dim': 34, 'sturm_bound': 90, 'trace_bound': 2, 'trace_display': [0, 0, 0, -682], 'traces': [34, 0, 0, 8194, 0, 0, -682, 0, 0, 62364, 0, 0, -47932, 0, 0, 1496374, 0, 0, -617314, 0, 0, -2188290, 0, 0, 13461862, 0, 0, -9769504, 0, 0, -10897882, 0, 0, 36491958, 0, 0, 552650, 0, 0, 22448184, 0, 0, 1826840, 0, 0, 79457916, 0, 0, 129359700, 0, 0, 85769564, 0, 0, 104647782, 0, 0, 20503212, 0, 0, -416125708, 0, 0, 200309146, 0, 0, 193901384, 0, 0, -432020784, 0, 0, 97057832, 0, 0, 721409354, 0, 0, 1391291282, 0, 0, 1698565134, 0, 0, -1034931330, 0, 0, 1364054574, 0, 0, -3257395418, 0, 0, 1755101040, 0, 0, -460250296, 0, 0, -212257718, 0, 0, 386700986, 0, 0, 6173349876, 0, 0, 2721627446, 0, 0, -14685895168, 0, 0, -1624873278, 0, 0, -8831757570, 0, 0, 9773234266, 0, 0, -23653840360, 0, 0, -8528517148, 0, 0, 4755218244, 0, 0, 12170098300, 0, 0, 37052909082, 0, 0, -12216541480, 0, 0, -30418956108, 0, 0, -38249727828, 0, 0, 8540669348, 0, 0, -21915873250, 0, 0, 19388124840, 0, 0, 31470135572, 0, 0, 53934067404, 0, 0, 13180780472, 0, 0, -57019864620, 0, 0, 27218777274, 0, 0, -35589854614, 0, 0, 838260428, 0, 0, -8913159000, 0, 0, -7311112420, 0, 0, 20785977168, 0, 0, 135080573238, 0, 0, 4071056100, 0, 0, 15862187090, 0, 0, 53912485386, 0, 0, 34509194060, 0, 0, 13572640104, 0, 0, -79892401782, 0, 0, 70300540784, 0, 0, -1092360634, 0, 0, -124483542822, 0, 0, 82043063710, 0, 0, 171668557884, 0, 0, -122922775402, 0, 0, -124684974600, 0, 0, -80145184300, 0, 0, -162779167032, 0, 0, 247650877110, 0, 0, -95844445560, 0, 0, -185385006538, 0, 0, -477362145676, 0, 0, 267274884532, 0, 0, 246107447232, 0, 0, 189070072986, 0, 0, -539239155674, 0, 0, 267069070876, 0, 0, -22702028280, 0, 0, -202831743276, 0, 0, 156007832342, 0, 0, -157994263840, 0, 0, 690991980558, 0, 0, 364679457734, 0, 0, -262677021396, 0, 0, -766997147770, 0, 0, -318223166676, 0, 0, 574571922802, 0, 0, -310160952334, 0, 0, 69894570498, 0, 0, -1220402463972, 0, 0, 1306270707046, 0, 0, 254702066234, 0, 0, 124145144330, 0, 0, -1225971183828, 0, 0, -979259153614, 0, 0, 1892588162828, 0, 0, -61965138342, 0, 0, -247331931348, 0, 0, -1043961805120, 0, 0, 1619975979294, 0, 0, 312001178042, 0, 0, -225671941032, 0, 0, -365556011236, 0, 0, -2024267697468, 0, 0, 1330937393830, 0, 0, 840895715796, 0, 0, 1734327729578, 0, 0, 694840496454, 0, 0, 917537060592, 0, 0, 618879865608, 0, 0, -2638809831696, 0, 0, -3754572638180, 0, 0, -1892703578398, 0, 0, 4106655802500, 0, 0, 888974631470, 0, 0, 5035759695012, 0, 0, -391515594754, 0, 0, 4608416679972, 0, 0, 1671353245734, 0, 0, -4553752715014, 0, 0, -2770372077696, 0, 0, -6561762831108, 0, 0, 1561543367162, 0, 0, -2390708144390, 0, 0, 3843795096538, 0, 0, -423760427664, 0, 0, 1000342394606, 0, 0, 2764422215852, 0, 0, -5026692856506, 0, 0, -3346626363486, 0, 0, -6734023416880, 0, 0, 10013997056004, 0, 0, 2698060103710, 0, 0, 8278382885208, 0, 0, -1042243988872, 0, 0, 3745602097712, 0, 0, 530641115570, 0, 0, -10023630433956, 0, 0, -4983797807838, 0, 0, -16686709763992, 0, 0, 9004349622144, 0, 0, 3417456377238, 0, 0, 5350487837366, 0, 0, -2228774412540, 0, 0, 5403308608910, 0, 0, 2951109202950, 0, 0, -6315976801622, 0, 0, -15756120663546, 0, 0, -12782132558974, 0, 0, 12346307266008, 0, 0, -1991927120486, 0, 0, 13899868067044, 0, 0, -6110065581628, 0, 0, 18828074494368, 0, 0, 1403240705406, 0, 0, -14198763280480, 0, 0, -15296895248524, 0, 0, -21133052242902, 0, 0, 20177141549754, 0, 0, 1095744110048, 0, 0, 10982081721352, 0, 0, -9426244069014, 0, 0, 17618265404646, 0, 0, 13305637853832, 0, 0, -7872414398104, 0, 0, -17331883511952, 0, 0, -15076572793772, 0, 0, 26451011225476, 0, 0, -2310016563000, 0, 0, 23990498985096, 0, 0, -4858506698674, 0, 0, 33092349909102, 0, 0, 9126412070888, 0, 0, -17618526691374, 0, 0, -26552869501934, 0, 0, -15588000142078, 0, 0, 22080375353122, 0, 0, 4657519404528, 0, 0, 6670429270332, 0, 0, -27162867612276, 0, 0, 19943385274316, 0, 0, 21203074294440, 0, 0, -10958035716292, 0, 0, -52290484354104, 0, 0, -23203129447116, 0, 0, 51550321617264, 0, 0, -2665519676528, 0, 0, 9375894503960, 0, 0, -16903914015204, 0, 0, 63997964527992, 0, 0, 7616593095734, 0, 0, -17062834274932, 0, 0, -7768285704322, 0, 0, -60676396273776, 0, 0, 21291112616000, 0, 0, -24179919823236, 0, 0, 12317695162616, 0, 0, -19209005853864, 0, 0, 32578388419534, 0, 0, 10054665620852, 0, 0, -9435172370080, 0, 0, -48745142755464, 0, 0, -22349827682334, 0, 0, 59323213400376, 0, 0, 4473403901156, 0, 0, 12181560872886, 0, 0, -32114839590240, 0, 0, 51725648734568, 0, 0, 22967562988842, 0, 0, -33849520461060, 0, 0, -64832267510548, 0, 0, -61608514191360, 0, 0, 44255102332530, 0, 0, 264006623760, 0, 0, 31341185923808, 0, 0, -23786203249818, 0, 0, 55774190202082, 0, 0, 16992742171908, 0, 0, -43415538743400, 0, 0, -46171249515214, 0, 0, -23826427351486, 0, 0, 37406687594430, 0, 0, 26508272063346, 0, 0, 83163976103780, 0, 0, -152919129392, 0, 0, 1000795817202, 0, 0, -6827027085520, 0, 0, -39579555506616, 0, 0, -50864948683014, 0, 0, -40928435811648, 0, 0, 18567411897598, 0, 0, -20569600237276, 0, 0, 21615175853246, 0, 0, -21288092737332, 0, 0, -8024110841914, 0, 0, 42670890334440, 0, 0, -43690181468170, 0, 0, -13281604536456, 0, 0, -59056165379388, 0, 0, 104919538776174, 0, 0, 10445377478654, 0, 0, 53090744438640, 0, 0, 14321123062412, 0, 0, 54510671256492, 0, 0, 5156750734852, 0, 0, -57548356440144, 0, 0, 52813649348264, 0, 0, -132926151671806, 0, 0, 26507861236112, 0, 0, 54135017786364, 0, 0, 64669903433712, 0, 0, 52426694136150, 0, 0, 24067428274550, 0, 0, -48956943986760, 0, 0, 24667732347424, 0, 0, -35162944855732, 0, 0, 11420783262144, 0, 0, -44312024299434, 0, 0, -44725539689790, 0, 0, -11210909988156, 0, 0, 22950121620650, 0, 0, -74411974295556, 0, 0, 12341693399998, 0, 0, -20922637186164, 0, 0, 23405424597974, 0, 0, -45795635348736, 0, 0, 59198897609276, 0, 0, 66787360356908, 0, 0, 1558021589970, 0, 0, 41676282769980, 0, 0, -37126415572322, 0, 0, 30742148103476, 0, 0, -111986048505604, 0, 0, 47154600550350, 0, 0, 14856525645950, 0, 0, -95807230544322, 0, 0, 94864958687252, 0, 0, 102099094733268, 0, 0, 56163503155116, 0, 0, -16888277076296, 0, 0, -36716740260266, 0, 0, 105837283986828, 0, 0, -43819880436772, 0, 0, 216668150535180, 0, 0, -40973534317174, 0, 0, -245315120188314, 0, 0, -126947418808280, 0, 0, -124859497181944, 0, 0, -154802126824848, 0, 0, 35235819409770, 0, 0, 54969156807120, 0, 0, 158226381980988, 0, 0, 74773032540572, 0, 0, -98292321926448, 0, 0, 52697279634234, 0, 0, -116226393006460, 0, 0, 90144671204228, 0, 0, 51986659890012, 0, 0, 18987623977364, 0, 0, -24503596080012, 0, 0, 93516784039998, 0, 0, 53244592113294, 0, 0, -155641462960090, 0, 0, 71611287546360, 0, 0, -67779866994042, 0, 0, 135155229900870, 0, 0, -34456417539134, 0, 0, -377841540011472, 0, 0, 318273062092302, 0, 0, 20631376681620, 0, 0, 212566323447180, 0, 0, -318069243281506, 0, 0, -104662292475742, 0, 0, -350471639777052, 0, 0, -221772232200782, 0, 0, -315867441686128, 0, 0, 28493567071704, 0, 0, 415097357754990, 0, 0, 48057607585998, 0, 0, 249981895291528, 0, 0, 23815341009824, 0, 0, 18559291677912, 0, 0, -325821447969604, 0, 0, -10664240936964], 'weight': 10, 'weight_parity': 1}
• mf_twists_cc •

  Column	Type
  conductor	integer
  degree	integer
  order	integer
  parity	smallint
  source_conrey_index	integer
  source_dim	integer
  source_embedding_index	integer
  source_hecke_orbit_code	bigint
  source_is_minimal	boolean
  source_label	text
  source_level	integer
  target_conrey_index	integer
  target_dim	integer
  target_embedding_index	integer
  target_hecke_orbit_code	bigint
  target_is_minimal	boolean
  target_label	text
  target_level	integer
  twist_class_label	text
  twist_class_level	integer
  twisting_char_label	text
  twisting_conrey_index	integer
  weight	smallint

  
  
  • id: 40525151
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007199422513233, 'source_is_minimal': False, 'source_label': '81.10.a.c.1.4', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007199422513233, 'target_is_minimal': False, 'target_label': '81.10.a.c.1.4', 'target_level': 81, 'twist_class_label': '9.10.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 10}
  • id: 40525152
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007199422513233, 'source_is_minimal': False, 'source_label': '81.10.a.c.1.4', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13510799049883729, 'target_is_minimal': False, 'target_label': '81.10.a.d.1.5', 'target_level': 81, 'twist_class_label': '9.10.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 10}
  • id: 40525153
    {'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007199422513233, 'source_is_minimal': False, 'source_label': '81.10.a.c.1.4', 'source_level': 81, 'target_conrey_index': 10, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 137606725659, 'target_is_minimal': False, 'target_label': '27.10.c.a.10.4', 'target_level': 27, 'twist_class_label': '9.10.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 10}
  • id: 40525154
    {'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007199422513233, 'source_is_minimal': False, 'source_label': '81.10.a.c.1.4', 'source_level': 81, 'target_conrey_index': 7, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 137606725641, 'target_is_minimal': True, 'target_label': '9.10.c.a.7.5', 'target_level': 9, 'twist_class_label': '9.10.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 10}
  • id: 40525155
    {'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007199422513233, 'source_is_minimal': False, 'source_label': '81.10.a.c.1.4', 'source_level': 81, 'target_conrey_index': 19, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 137606725659, 'target_is_minimal': False, 'target_label': '27.10.c.a.19.4', 'target_level': 27, 'twist_class_label': '9.10.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 10}
  • id: 40525156
    {'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007199422513233, 'source_is_minimal': False, 'source_label': '81.10.a.c.1.4', 'source_level': 81, 'target_conrey_index': 4, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 137606725641, 'target_is_minimal': True, 'target_label': '9.10.c.a.4.5', 'target_level': 9, 'twist_class_label': '9.10.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 10}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 255725
    {'charpoly_factorization': [[[-6964475904, -5051621376, -507133440, 22804416, 2299752, -36072, -2832, 15, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 2}
  • id: 255726
    {'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007199422513233, 'p': 3}
  • id: 255727
    {'charpoly_factorization': [[[-298875679608361927680000, -7044877083574309104000, -7762158809620608600, 16597119508825905, 21010852477989, -5320571238, -8856510, 453, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 5}
  • id: 255728
    {'charpoly_factorization': [[[1352027587011270027896512791064, -43433270739820928169953092, -174517894591381051175402, 3115891822977355457, 8026081020490309, -43482641398, -153735812, -343, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 7}
  • id: 255729
    {'charpoly_factorization': [[[1477522364273150475079970021359374471, -13072603025784277163444990087862, -17523860655139940367165574782, 809033688746865169685946, 10717090550284031208, -665334862867026, -6522178290, 99150, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 11}
  • id: 255730
    {'charpoly_factorization': [[[527165735852028968061952267847254256056, -53539734262547167560391970556748, -960814380235387620558361668794, 276850917360314028655247, 319656445290116847097, -205515246767398, -34353158696, 32435, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 13}
  • id: 255731
    {'charpoly_factorization': [[[-820160346163111726316973138784045783985184, 68839487490209772917826765728847916560, 2921921332002359503799777036628768, 20423595596222241800319339144, 17969524198289503868790, -188279448791441391, -367449916563, 415539, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 17}
  • id: 255732
    {'charpoly_factorization': [[[-8853680821769276737028510393515540690764800, 886369399648750303933475235199437320960, -14678087160507131179547511206493824, -4637262835250589662716392928, 379431464431176804469180, -38751124357198789, -1230117863621, 85277, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 19}
  • id: 255733
    {'charpoly_factorization': [[[32039124979756670111085221412437939024309796168, 222600330189989376982682830321509695422116, -990160769784599963791117099254146214, -2717861259186227510487900901809, 9055391502873992823700677, -1958511418093410930, -5414946018072, 1064559, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 23}
  • id: 255734
    {'charpoly_factorization': [[[273896462611249953086676699864524127949280085311784, -3957328042571876545330465731175048084761422412, -4771096982080436104804674404122509942822, 94199313281714142248526694936335, 1028125507114651295473251201, 31418862483877381674, -59918454941460, -1309053, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 29}
  • id: 255735
    {'charpoly_factorization': [[[2641183652593988306939725734756956499270654366151360, 3834118731288337486906416935288531023539009584, -3371980580570158885027628572631763287996, -4366129732508961133421523414295075, 1244958524506173964278164281, 379084987433335193102, -99624046304654, -2359819, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 31}
  • id: 255736
    {'charpoly_factorization': [[[9927783149188608401934367807278489189646594791545325568, 2417403027146829849214759980023140830212115262976, -1607081074113151216562158819575257062477184, -181470665458964364679799688274503904, 58007588177767374883668569296, 4024864499036434869008, -534769176904448, -8195758, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 37}
  • id: 255737
    {'charpoly_factorization': [[[-8160981573349110874483173558430454107701509763698952405, -922117414259265584529343633792335999874401381846, 1802854034584820435672611191058724664713694, 215954513753359264929090889193170530, -72200313271895627532519540540, -7563132835364005493058, 568127213407794, 54747318, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 41}
  • id: 255738
    {'charpoly_factorization': [[[-1223753066702307362122809622438574868574315767061569400511, -1052259282719305128111354606246618057767488169788144, -167368697700703427575551960349545794781249692, 6014774343483467792670298889953507016, 1052909959783139471429558176534, -17957359335180499474336, -1814189493948092, 15249608, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 43}
  • id: 255739
    {'charpoly_factorization': [[[-47378539050027922574040677204265417161371098823483916526312, 7970433929935439623318703453770152210878704205542044, 322658358379364282058701916778509480825796134, -64402431516567687779625510258504907743, -2295594534323434817044039674699, 130090496002663057855866, 8296232807084412, 156295545, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 47}
  • id: 255740
    {'charpoly_factorization': [[[11889078669482818405504359431759563721437688882278351535781888, 789057007905076860736683135848182769489678481361552896, -7705212064937673143005911784467855713439390336, -1627786546647685647675158096953277328864, -30231834156164318738271807654576, 505955822159827198144656, 22832880952316400, 262758114, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 53}
  • id: 255741
    {'charpoly_factorization': [[[-1231593374962352509024383673376446314700413675711594753359390697, -19820571252960436544623819621210617004478828221944525282, 1106229694099938482588221075549900827831188282658, 18023271196503534684143988126638119177278, -253835128276367819380005572973576, -4373240127449800019640534, 8816745429340878, 307774074, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 59}
  • id: 255742
    {'charpoly_factorization': [[[877589268284632125279819333228233662924108580429634603543874048, -28359723198357740269834097549366899829981661527196804160, -1158260526528628404670677110036948490275753311784, 14186517199256182178447118858506663953865, 367785595403135583705697747838533, -2035483377497797653828214, -36316327581058382, 69192125, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 61}
  • id: 255743
    {'charpoly_factorization': [[[93987741399592664448303715835238830870111036732445069028269613, 1028935583664947590890603809958095297073636047707058780, -2327637473468156838760601372569083616093638293120, -113196166369664130769441338919303513163692, 1797358966010444331499880816853082, 3428106865229883225230948, -87956422461080072, 14328044, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 67}
  • id: 255744
    {'charpoly_factorization': [[[-1650740730178120838501316176203169488629495138312020327635500662784, -5795231712906336559665057823608806333737826273431668129792, 285952791904013355323769048366842401971946093547520, 1534690794385887335903604844772608913620992, -10255314542422109952035021693577984, -76610379672672087281493888, -24112648412643888, 619800696, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 71}
  • id: 255745
    {'charpoly_factorization': [[[-108003460020869426973571271644097198583453432068139157909850081504, 26399371013892611147178221020930060222747639784603847458096, -118004081597065068708682559586075910435969655550272, -2047922173547414623477132228019660465663848, 8609137133375677132168706314000426, 46584916200965635904888003, -171046531788728999, -299306599, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 73}
  • id: 255746
    {'charpoly_factorization': [[[62056760311329960551594690453095176832502456429793051998052889857472, 6257824884548213212888642750042342320008979913317156551120, -3377545391994678366767891310090132301426948396877228, -218136217994747247133931642279157416752717, 60468731274911623563168639798195769, -2610052502628140569033486, -423612600572506526, 30257531, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 79}
  • id: 255747
    {'charpoly_factorization': [[[-8941913294852519200142858566472938977074308486985326612719268857024, 683038167656737808426611641347660836457407248609499385340624, 10116158846092217148051648118273895899849973772796860, 19025570576608788342427572063255689620795347, -109857405647207925447470670184810911, -356310689814246370343002326, 77659188595635090, 1176168291, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 83}
  • id: 255748
    {'charpoly_factorization': [[[-3121806533511596365502036535517673531620813649514563881120720117344000, -4338433462683108967247071268226953248570865166796727349542400, 82106662478470418415324120863482822496350390239962880, 154735952156793283536192165241829651774612352, -531743662098300035773458058888311840, -1425374295754423731160820256, -169064792330582736, 1658520648, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 89}
  • id: 255749
    {'charpoly_factorization': [[[-447227154021915128698310100595040011333804350928895603381181246536249, -1734577689384921519949461563398548439268756280155201889905506, 38723609833432908232091378717980593464451612464121562, 276765683864533546407096299121512426174614166, 423119042762821834321804744793120632, -734759068212651316669710982, -1950679120446941210, -267311278, 1], 1]], 'hecke_orbit_code': 9007199422513233, 'p': 97}
• mf_newform_portraits •

  Column	Type
  char_orbit_index	smallint
  hecke_orbit	integer
  label	text
  level	integer
  portrait	text
  weight	smallint

  
  {'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '81.10.a.c', 'level': 81, 'portrait': 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se0uxkzi5qxusdlm1O2b+hQq0YIaYljQbNbYaHpM1YVeNJjZt7n+AXB6dmUs0spQaXLm27p8K7bIJCjHDnT4Oyc4uIgcluOL1huvnqBf/ORFTaPjnJqZoKLCxWWmprlluTMxYTU9LnlSjh0UrEcCf7OeyfN+Pi1n+inEz8qRdS6/XVv/3ZD4s90/JUG+IXZJmPVjH4ifk4kr9710nMPyMf2Z3d96ckL+u5bOrz1xgbHz9URQhAlkqUmLDczVloJS82M2RU4viiYmlrl333/ErdeUeXc3Dgz8zVmFjVzS5bZxZTzCxnz7ZTR8T6vu7bD7fvAlxUCFTC3HHJxUTO7LOhGkKaG0DfUwoyxkRQDnJlNaXVgxwaPWiXCWgHCp9MzbN8YsbSqwToqstqBKAWLZbkZs2Xao91TCGURJqIRemzf1Ge1Kzgzo8mMZqIhqYeCwIM0FXQjyeyy5OKSZW4lJQj64KXccVWHu64WTDUqLK00ODcXMLMIc4spc8spF5bhxJLl5qsW+fffv8LG0RHOzI4zt1hhfsVjqSkH1y9OLEIIjl003HvbPHftCzl8dmf68in15Pd86J3m7tv2Phn11U+PjicIMfbthso3Pf7KcvBP/vFnuOO2G/j7P/7Pf/arX3/0f3n08c9e3utf2Ll1PJVzqyGJ7POeO1sIETDQbYUEK0EIwKKEJZAwsxzy9DHFtbuX2betTzUET0t8T+H7mlpFUvUk3Y7HkdMhX9vvc2Y+opUmHDkXsWFimXe/boVrL29z874mpxdTFruCatDn5Iyl2apxzWWS1X7GodOKelXzyhm4YrOlH2f0Mx+tE8bqcPhcgNIZnkzRHvQiya37uvS6kmsvz2j1Ms7M1Nm1UVGrxqxGlunRLiudFp94CF48lXHgVJ8dm5e4bm+LsfGYd9zR5rvutuzeWCdLRjl1YYQT5z3OzRrOzyecn884MS84u5pw/Z4F/t33t9kwOsq52XFmlyosrnostwQrLUOzk9DuGlodw8yS5eh8wn03x8T9Mb78jb4Mw9mdtn9sVy3Ibtu8bVPF8ya//tiDn+U3f+dj327IXPL4KxnBf+E3/oAvHq6of3Bn5/8r0sV/9fyBGfX8oTYzrR4//v4uG8ZSvnGoy098V8bc4gYWVmqstANWW5rltma1DSvNjJVWynI7ZbEJ51YEutLnzquX+dDdMbuma6x2GswvV1hY9llsCpabhqWmYaVtaPUMrcjS7adMNBK2bzCAIPAs5+c9hAzYMa3YtdmyebrL3ErES8fq3HSFpVpZ4eDxceq1mDj2mBgz9Ppw5fY+H31olL3bUqLIMjkiSbIe9TDgldN9Kl6NG/akHDgZM7fks2UiYNcm2L4xRqmE84vgexYhLDs2pIzVJe1eQKfr0ep6LLcUy6uw1DQsNzMWmxmzTVjqZ2zf0uFD9yxy5z5N6DW4uNhgcSVkcVWz1BKsNg2rnYTVdkazY1ntwkxLcqHZ459+4CLfeHmKqXHDP/nODhcubuTQmRq6ujW7as+Gn/2O77jw7w+/Mp5dec0Pfbuh85rjrxTAF2dfxg/CSq95fvsv/9HBD45XTvyHqzfPcG52A8+8Ith/PCGSfa66fJXzMxH/6iMtbthdY255jKXVKqvtgJW2x0pLs9KCZtuw2k5ZaacstyxzTcFMx4Lo8L7XN3nHrYbLNoXEcZWVZshqx6fZVqx0BO2uoB9Z4tSSZaCkJfCgElhGG5bp8QTt9TlxMebl4wEmrfG222K0t8rzh0bYuQm+/EzK668JmG/2CLUizRLGxyBNPLSXsrRU5XU3tvjyU3V2bYLnjkV4VHnrrYZU9Hj5RMap8yFa+mwY04zVBJVA4PsCJSA1ECeWfgztrmW1Y2h3Datdw1LH0ssydmzt8o7bm7zvrhhMnaXVEeaXKyw1PZZbmpUmOahTVjsO3CtdmG0p5lopt+yd46c/ssDpmQrX7KySplPsP9Tg6YMJx+Y7fPCdk7zhhk3/+vzKHX909b7NZ3u9Xu+2m676dkNpcPyVAbi1+4Ex//y58z946JWTv/TgYy+JR15akTfu6/DmG6scOz3Kc6+mHJ0xnFySLPdjbrligf/0w8vceHnIwuooS6tVVtoBzbbPSluz2hY025ZmJ2O1ndLsGFY6lvm24GLTMDba5c03t7ljX8qODYpGxaPVDgk8CSjiVGKMwFjo9gFhGKv3OXbBYmzMA8/ViLoVLt/ic+e1XRKzyqP7R7nhCo9jsx2aKw1uv7bL158P2DBuOXTG8g/f2+LQ6YAN45Kv7VfceaViudvi5LlxbtgT8+jLPdKoyh1X+eze1qeXdvjq8woywYnzmkZVowV0exJjBZmxJCkgDdo3NDuWWj1h26aIu67s8uabUiZqIXPLIyytVlhpuWuz0hI0O9Bsp7Q6KasdQ7NrWOkKZtuShXbGbXvn+Q8/ssANuwNWWyOcnxvl2LkGT78iODrT5o23r3DjLo+Xjm0yU5tvtBOb9v5YW1/92146G3/4bbu/3ZAC/ooAvJ8kstXuvvuTn/vM5fu29n/+2acPeCtNjxPnDS+f63PfzRGbRhocPSO4uJSy2BLMdBTnV1Pu2DfPz/3wIjft9lhtj7KwUqPZCVlt+6x2NM22otmFdsfS6qa0OhmdnqHZtSx0BAsdSLKI667osXE8o9O1vP32iJ0bDWkm0dISJ/DISyFn50M2jaUcPBGCqbJvq+LGvYYg7PL8sS4LizWu3lmjMbrCUwc8brkiZKm7yspKg40bLc8cUnzvGzs8e0izddpjsdNkZXmcG6/s8tTBjPHKKFdf3mG+2eSZV0ep6Bo377Xs2d4H2eGlU4Lp8YS5hYRHX/LoJwopITOWnZti3nx7TLuj2DxmuPEKiOMqy80qy82A1Y5Hq6todiStDrS6Ga1ORrub0eoaVruW5Z5kpiVY7cXcuWeBf//Dy9x8RcjFxTGWW1UWVypcmA84dNawYcMCb73JcvDYNIdPWxabEVfdeHNy857kX9x+xwePK6/2BaVC8+3G1re9krm43KO52v/+F156/hfuf+TI+IP6DD/xHZKDx6cBdwNPndWs1i3WQMUXjFQshgwlNM8d28BP/6bHe+9c5rvfuMSuLRGzSw0Cv0Il8KkGHrWKpl2R1HseIzVNt5/R6WVsiAy9yNLuBywvhJw/Z4lTw4XZlCCwgMBXFi0F3Z5C4JF2NdfvFOzebNm+pUuUtfnKs4rDx8d4y00BN165wu9+xeKLKju3dDnwlGLLqGKy0SVUFeLEY74NtVCzdYPgxcMxN+6pcPcNi/zOF3v4Xp033Wbxgi4PPhPz5adrvHqqwmWbq+zclDE1FrNrMuGanRlKGbSygKUaBEyNBsSJR7vrc/CYR6ev6fYUnb6k04NO39Lpuu/e7mV0epZWz9LswUJXMbtiqTaa/Pj7FviOO2Ku21VjZqHBartKsx3Q7Sukgqt2CiZGRjlw1OPEBcW5uYQXz8At13/R85Ktv/DKweeXr7n2rn9q0/7vCB3+zwvwLG0jhPnhVw48/nNf/9oj4xfOLpB5kl62yo17NJkZRwiP5aYkTgyZsVQCRxmcSpLhScnB45O8eLTK0Zl53ndXh7uu6jNab7DcrFJrhTR6Pp2upp3f7F5f0400/cjSjw1xYkkSS5q5M059rAGpBJ4WhL5gtC4Yq8PGScPWDV0mx5rc/zw89oKHNCO85SaP6/e1eeLVhLjf4M7rBc1ej/mlGnfsMUyOdqnogH6qWGglKCO4fo+mWo/YfyTkDTeOcPt1bfYfUWBHuOkqnx961zJffzHma8/WOHQ2ZPuUYuN4hbF6lZE6VALwtEVJMBYOnRJkmSBJBXEKUYL7jlFGLzL0I0O3b+hGhk4PWhEsdCQLHeibPvfdsMy772ryPW8yJMkIFxdrtDoh7a5Pu+vRixRpKkgzyemZKktNw/m5hBdPJoSNFldsgfZqh+deeXD81Iz839947+v1SrP3G2Mjlf/5AH70zCynZ6MfOnzw2Z87cejB6dFKn2t31Tk1l/Crn4cP3dtn82RMt1dBCEmvn9GPXfUQDEK4xE/LjIqWLHQrfOKhrTz0QovXX7PKR+5b5ZpdHSZGqyytVmn3Aro9Lwe2cmfs9PMkFaSpW+qtdZ9PSYvWEPpQrRjG6wlbprukdDh2IeETj4acPFdjNKhwy1WaO65t8czRJg98o8FtV4Rs39Tlow8JlAho1BNWOxHGghIw1ejSavuYtMK7Xz/Px79cZfdcyDtu6xInSzz68gRJFnLrVdO845YWV2xr8uD+LgfOVXnplM/Wccl4Q1ANBL7nHkIpQAiLsWCMJUnzhzWxRIl7kPsx9GJo9wUrkWC5DUL3uX7PKh958yqvuypjsl5hpVlltV2l0/Np9zw6PY9OT9HpC/qRpBdDt29ZbTp9ffPGLh94Y0avu5FTF2ocOtXh3PwD01un45+79fabrLXnf1OIrf9zAHz/k7/EF57dw2OPPfW3L863fl6nz05urEdUJ2tkmSLwBGcXRnjiJcNtexWV0JJkAikUSgmUBCVEvjwbPGXxtSHUguW+Yrk5xicfqfH0wQ53XrfKR960yg27m0xkFdI0oNsP6fQ8epEmThRJKkkzSWYExgoEFiksgW+ohimBH+N7EReWIr74nOT4eZ9T58dQJmD3Jp8rdylu2tdCBQu8fKLOltEqV18GG6dWWG41uGaLJDWW+58NiLqS0VrKW2/t84VHE87O1tl7ucfF1T6vnPTYtmGM63Yt8MSBNk+9Iohin327xtm3LWDf1jYnLi5z/AI8e7jKsZM1qloQaEktsIQeSOmSKmvdw5pmEKcQZ4JOJGj1Ba0EYpNibJ+br2jxkTe3eP01GZvGA3r9EZaaIe1uQKfnO4rT13T7kl5f0o0EvQj6saWbB5zQhxuv9GkEdQ6fDjk3Z1hcgXMLq3zl4funK+rszydmLG2e/aPf/b8/2+Vf/sMf+JsL8E996lPceOUvk2bv/54Dh2d/8blnF0bnOy3+zQ90CHVG4NVp1DSbpxSB76QvrSyVAAQCpRzItTJoleEpgacNvmcJPUslyBgNBe3IY7U1xqcea/DQS302jHX54D1N9m3r0+91uHqXZdtGRZR4ZJkiMxJbgFsaPJ1xZs5yalaw2jN87okqFxbHsLHHWKjYPKHZsVFz2Ra4encLIxf5tS/UWF4e4bZ9mqt3N3nwJYFIPabHJLVqSjfxkdYVopT2afYFc8uCq2yVe25q8+T+CpsnfW67epy/865FfvvLbZ49UqPT91harbNrc4W9m7rcuqfNd76hzczyMp97ImCpG3DmoseFCz6eEkgpEQiMtWQGEmPJUsPYRMK1V3WJooR92yLef0/E9IhivB6QJCEXF0I6PZ9e5OWgVvQiRS+S9CJBLxL0I+jHhijO6EeGLLPUQsHCUoVmS9HqJCysZpyat6hKxI/sXuSlF/qTp5tbf1FXdyX//o+f/9jnPvMp3vPe7/qbB/Bf+LWP8TP3j4nE/MAHFmYv/voTz85XF1csc+0aD7/c4vvum0MrS71apdXRZEYghFtuhZAoCVoJtJLupxZ4ngOjrw2BZwkTS9W3jIQZYxVBN5a04xqnztf4Tx8bB5Mi0pSbru2ya2NMmoKxpvCUI4VAKoH2fI6c9Tl0PKQWauq+ZLIqmJqQTI+7B3DHpoy9O1bJxBL/16cbnDk7ym17PPbtzOilbb7xcsBoxWNixDJaj6lWHBUyRtLsK5Y7lqVmRrNT4XVXr/LcoS6HzypGGyG3XjXKj7x7if/2Gdh/vEanZ1lta+aWG2ycrDI91mfHRJ9/9oEujWqTA6fgyDmJ51mUsghhAOv+z0Kaws6NGXdek5IlHkkaYG2Vfuwxu+hA3Ys0/VgN6FsvzulIJOjHEMWuKhvFhjgxRLElSQ3GwuxiSmZS2n3LxVXBbC/i++5cZfN4FY2g05sdjdPar3/0H96W/q3vePej1tr5DDL9P6Bz6H8IwL/yxU9yza4p1fDOvm9u7uzvjnlnwqt2NagFKcFcyse+Mk2azvL33rWAr8dYaVXox5okdaDwE5tHa4mnHef0PYXvSXxPEiQZUWypJIYoMcSxpZFClBiiFOJU0E8kURaQZCGHj9d46TBk1uKg7bixJ8FXzvNRD+DqTdCowEhNMlZXTIxqpsdh+8aITVOrJHaZ/+vTI5w4OcKNlyku2yrZvXWFh19JmVsa4aZdkrGGIfR7BDLAKpegCWtJs5iVTsjckseN+ypcv6fNE/tDNowJqmGdG/cYfvx9S/ziZwyvXKiz2jGsthULK5rJ0RpjjQpjjREa1YSpWsKOG2MCL8XTKUplSOGSCYt7qJJEMb+gSVJFkiriRBEl+c9YEiWSKJb0Y0kUC/qJIMqBHcXFdc3BnThu73g+JJkrNi11JTOdlL//HfN8990hp2bGOHUh5PSM4eiFY9V33NP7vVOnz7dqja03JUn33P8I7P13B/iZV/8bjfq8unDx4vsnK83f6USnwp2bBUIYpPRQStCOJB/9+iTvvP00u6YVSlm6PZ9+ooljRZxIvETiJRZfS3xP0I8FgSeIfEUcSyLfkCSWOM0GF39wZpBmliwzZAbHtw0DcLuEFbQEz4NAC8JAUA0ktapipCoZGxFMj6fs2NilXlvl00/GPPryOKuLDa7drtixyeOKbX0yscr9z1apeZqpMUW92uflE7iO+22WbqS47oqEa3dbZi9mLKz49PpV3nZLm8cP9Dh2QVGrSAK/wTWXGf79317ikVd6fOGRSZZalh3TGStNzWhDMVLzqFc9ahVLGBgC3xDoDK0c1XIJuYvixgiMEaRGkmaCNBUkqSROBUkiiRKnvMSJcIlp7DqgijNKnNo0OFPr/n4K/UTQigRzHcGurSt8z72GucVxjp8LOXMx49xswoVFyZcfuRicn/sT/JHJ12W68sf/7hd/P/u3//j7/noD/IvPb5C+jD48Lo/98ulzx8LLt4HSgn07LKFfo17VKJ1x9BuCTzyo+NkfaZJZgaczgsgj8jRRrAlSSRQrIk8SJJLAz2/K4FQkKcSJdJElHcp+aWbIMkd3MpsrJblaIoRASlDS0R5fCwJfEgaSWkXQqFpG64YN4xFTY21Su8onH5f89pcnmA5Drt0u2L7JY+dmw45NK3z6G5bl5ZB9GxVjDahXE+ZOS+ZXAvxdECWCqRHJ6CgcO2VZaRlmF0Ou2BnyxpvafPGxkIk6BL6PkqNcs1vwd98xjyfn+fwTY7x6IWRDK2F6NGWkpqhXFNWKpBJoAh8CD7R2uYsUUHScWQsG92BnBrJMkGbkQHdROE4hSTIXFHJAJ6khTg1xwgDYUQpxAlEq6CfQSSRLsaDbjfm+Ny0RBiHPH/E4eiplZjHl9IJF+imdNOHCxZeDjez99btvmtSNmvrDf+vizF9PgJ879usk6fLf/uRXzv6X1Wi28dQrI9y/v8PenV3+ztub3Livyt4dVe69ucPUxhYbxntUKikTVtKUGZ4O8D0P39PEicb3FEG+rMaJJE6lA3fqQJ7kUSlNIckgy9wSaoxLuIyx2EIHxEVuIUSeuAo87QASBlANDfVKymg9ZWq0x+TYKk8ejvn9ByocOTXKzhGP3Rth60afrRtg7/YW3bTFM4caVJTH1JhitA6j9YixkRTf1wjhHq5e5LPcSljtWpqdlPkVn+0b69y+b54Hnu1y5EKDapDgKR8hRti9RfF9b1rk5r3z/P4DdZ45OMpSRzPdSBmtplRDSSV0ClTgSTzP5SpKkcuHDuUWsNa61SsHepqZfHXLKUdqSDNDnDoLQJI6ULvV0UXsKBVEiaCXQjuVNBPodlNEv8PhU5bfWE75zIMpqYV2lFGp9viB+5pcuU3Ta4/x+IunGmdnOv9XX13t/9ff/MPf/okf+u6/fgC3dhaQP7z/G3/yc+fPzE60ewmeqHBxZpQj5yocv9ji3Xe02TndxNMx3b7g0edCRqo97rm+w4bJlFarQi8KiHyPOPFyzpjLe4nziiQ50NNMDDh7mpFLf+SRW2IsQ3C7ImUeuUErVzDxPUvoGyphSj1MGWtEbJpsMdfs8kuf87j/uXGWV2pcPiXYPi3YMu2zdVqwa3Mf7a/y8Uc1J8/V2LNBMlaXjNQypIy4sGAJtEQKsFYQJ5od0y2eJaPVVay0LHPLFfZsDfnOe5r88YM+p+cCPJ0ghIexNZJUctOuFXZ8d4v793f56P3jPH+6xpYxwWQtoxZmhL6jbb7nchWtcImzFANPhsU9ZMbilJbMAb4AeZo5Sjfg16klziBJBFGWR+0UOqmknUIvNiSdmK2TTe6+e4W7b+lz+kLG1NQcSM22DSnvviPmup0B3e4YB1eq3LBvkeWF5Qk5kv78d33n+9S7zq38xp5tY399AG6zJuD9nccff/Tnzp84Mr11ssahM1ANLXu2GM4vehx4dYKDJ+r4OsGkGeeWJFHX8MiBLjfu6/Dd9/V4x+2rTI4FdPsBvSggSDRJ4hGnepAopanTspOs4JaSLBNkRgy5thEMWIl1kVsKUMqpDp4y+J4h8DMqQUq9EjE52qGX9HjwZcsnHh7hmYOjjPke12yxbBqXbJjw2Twl2boh5rItKxw43eNzj08xojRTI4JGTdCoJjS7GV/+Rkjdt04VstCLNO++M+JLTztPTLNjmF/RbJ2u8967OjxzuM2hYz61IEVJ4UBuqvRjx/W/741N9mya5+OPtHjq1VHOrlTY2BCMhJaqbwi1wfec6qSke5BdJIfCfmRyqmbMcIVLc6C7AAFJJkgyMdDS+6mgmwnaeQKfRDG1SpcPvmWFD7+pxU17UzaMS9ody3vuWiFJPbQMCHSDmYURzs1V6PYUUk1w7qIlnjs8ferw0z937XV3m/MX27+1dVP9rzbAO50Vjp7qMjPP9x945eH/fPHE1yaqusPOLSG+7zO/bPF0ihAJFd8yu+qz3AzoJgKhQNYN51tVZp6u8/TLXf742hbvv6/HW+/oMzHqE0UBceITpx5JMlQE0kyRppLUSLJsCHBj88hthnKUEDZPKp2PQ2uD72UEfkIliKlXemT0+Pp+ycceGuXgqRFEErBzzLJp1DI5qpga99k4Kdk8lbB9Y4tzC21+5Qs10qjC1q2C0bqmUYNGNUF4Ma1ejdG665CxFpJUMh4oUpPSTnza3YyVluLCQoWrLqvzo39rlZ//w4AzCzW0SvIHQ5OmIf1YsnEi4KbLW1x7WYdXzlzgEw9XeOD5UWaaFWqBou5DzbP42uIp0NKV84VY664zgDXuocuMILOQZsLp55kgzhywe5mgl0GUQZKmZHHMRNjlbfet8sE3tnn9tSkjFU2c1Fhd9ckyzXjVox/7rLZDzs9WWFjxmV/WLDUtC8uC2eWUKF3mj7/w1emRWvyfb731DalNL/xes1NjdPQvb37iXyrA+/0el++ovufsqWf+20MPPtyIknm+580RcTyCFKCVh9Y6v9AJShrqoaAdQTcRdFNBR/t0E4/5qMLnn6nx6MEOtz7Q4R99V5srt7eYHlU0pB4APc2jeZqpHNySzEiMlVjrKIEdJJQghUEp64pFOiXwUzwV0+olLLQS/uunQ07Nj7H/0CjW+ExUBNOTlskRwURDMTHqsWFCsnEiZctUl4nRFe5/wfD8q6Ncu1UwVpfUq5JG1VCrxAgvIgg0Wrn3txayTNKLNL1+QmoE7Z6h3bEstzxmlxrcsbfD7Vet8vGvhVSWFVomDpBWk2Y+cSLpRR6ToyE37+5w8+Udnr17hjMLkt9/YJT51SrnlwJ8Jal5Ar+gYdIlnoNAXlAVXCRPrSA1kBhHR/oZxJmFLIU0QamITWM9rt3R5R99V4tbrsxohB5JWme15RMlPkmiiRKPfuTR6fu0Oj6LTZ/5ZcX8kmFhJWFhJWNmxdLOLLdcN8c3nnxwYm45/G/3vO6WlV6v97m/TEz+pQH8iaePMTGxSf3hxz96+fz8C43p0fN0Y8tCa4mrd0RUgnHCoI5WAdZ6jvOZFDAoAYGCMIGqsvS0pOP5dFPNclzhgedHePLVHrUw4gfe1mTbRMqOzT3uuLqNFq5FTAhHV1xV0nmlrS1FbixCOoNWlFgsKciUV05Jnjus+eIzdV45WydOq9S1YqpiGa9ZxqrW6eANzfiIZmJUsHE8ZfNUj01TKzx6MOLXvjjNplHNVAMaNUWjJqhXUypBxJNHFf1Y49UcqKwVxKkk1Iob9vR4+uVRZ3zqZay2PBZXA+YWx/jRd8xxfnGJp1+cwpOASDBAmmqXj8SSTk8zVg8ZbdS4fU+Xu6/t8t33LnD4nOFLz4Q8c7jC0ZM1UqGJIkU3USghEUKsSzzzmoA1pMZijcETGSN+TEjC7Td22LWpz9bJhI+8NaLiK2qhRxTXaHY8osRz1DFxYkAUa/qRR7unaXZ8lpuKxWXD7FLCzGLKuWXBbNtw1e4VepHixaMX6Kdfbmgze/nb3vHdqt88moUje/7qAPyJ5w4wNVX1H3j06R9cbGb/5UsPR7TiOsZL+dRT0/wvH1jhup3z7NoSUQlGSNIazbYi9DPSzIU1lS+jvoIwM1Q19FJBP9P0Mk0vC2m3M/7zx8ewacKGqT5Xbe8zMZLy/jf22D4dkyQi59sSSpGbnH9KaRBS8KlHKhw4UUNozZmZKhfmqoQVxUggGK1ZGqGhEUK9IhipKhp1xVhdMzEKk6MpGyb6bJlukdlVPvV4g16nxhVbLY2qol6V1CuGepjieTH3Px0SdSXeNMgcTEkqqVUUb7u1x2MvGDqRpNPLaHU1q23N7FKVK3fVef/rW+x/pcqZ5TpKGiDJ+bJHkimixBVmOn0HpHqlSq0SceXWPrft7XNuvsnpi6toL+Olk5o/friKUMqBW8i1N9EawIC1JHHGjg0pH3xjj8lGxt4dlg0TkKUeUdwgSTUrLY8kLWiiJkl1rm4posRVRXuRphcJun2YX8k4fiHlQtNivB5337DKP3l/l26/iqRK1GsSetF/OX3yye727Tt+e372xXh64w1/NQB++MgZjh6f39PtnP6luPWYvO/mBi8dq3HyYkarBf/slxrcee0K77itw76tKRZNmnpIKfCUGxgvpAO5ryDOIMigot0SGWeC2Aj6mUfke6QWFjoNHj5gsGR89pkEITJ3k6y7SZCLJU4LRAiFEBKpFGmikUbjaUk9gF1TlppnqAaGagDVQFCrSOoVRaOqGalLxhowMZIyNRaxeapNxgr/9U9Cnnh5mt0TMFbNo3dVUq+kVCsxtWqPSqVKoCRK5hwcRweSxKPfE/SijHak6PQN7Z5xLXM1n/NzI7zuqogf/8Acv/DHmrOrAUIYrE0wmSVJPeJEOirQU9R7mlroU62EVIMqYZBQr8TcdEWM7yXcckXKR+7rolWaF4EMQti1pDyndMZIhJAEngJcKX9pRTnfTpHz5Kejh9Il/alyqlbiHr44cR1RngKhDJHocecNbd55W4+7rtR0etOYqMbJCxVeOGppRY/KH/hg9ks1v/d4u9M7+JeBzf/HAH/uqT9g66as8shTh9/3wsHDYtN0xOSE5upddbS0TKymLLY1L706zaETMbu3pjRkRsUTWGtRSuDlsp0S1nHFXKpyWX2e2RtBauyAIyaBJDGSzGgSE5Dlslf5GFQpBWghXKVSQVixhNoSqozAg0BD6DuvecWXVCuSaqgdwGuC0bphvJEyMRoxPd5h8/QSv/ZFw0cf2MC2UcVk3dCoKepVRa0K1UpGvZJwcclw4mJA6Dv7LRROP0E/1uzaaNg42afV9+n1bR7FJattTb0SUq+O8pH75jl5cZZf/9wWtNRYDJnJSI0lSTVRrOjFzhTVDSXVvqYSeFSCjGbb5Ri+l+HpDM/L0NI1SkjpyvkiP511RQAiB7mgaXKXpXHUr8hvilwnLZ1JJklT6RStRAykWyEsow24+8aMt94ZccVWCL1xzs1VWVwNmF/2XUdQu8X4iOHgy6+IU+ey92V6x4nf/INP9H7oIx/69gK8Vg39mYvLP1XVF37qii1GPvXKNI16xpZxwcSI2zipFmZMNQydvkd72UPXXMKjpEArW6omgs6lKj+D1LiG39Q4+2dmwWSCtChWWDBWDBKlMucG8kqeS6y0NGgJWjllwXlbrNONtSAMJKEvqQSKSqioVyT1qmWkljFaTxlvREyOddm+YYlnjkZ8/JHNjIUBG+qGRlU4cFcktdBQC1Pq1YhnjsBLh6tcPmVz3jssm/cixS17LVds7/HswVG6kaXXz+j0dA5yj2pYoRKO8qE3LPPS0XmePrQRrMKYzNlhU0ua2IGfpBdpqn1LJVSEviHwPQI/I9AGrTM87SzGShm3BYt01mCERTDkc8PkXOTX10X1zLiGCmOcUpUaMQC6q4yKHOgiV2MEFouWllqgGa2PM7dIbsNVNDuK1ZZASMNNe3zGqgFPvJzK6sjM/3fP5TW/Vqv/LBB/2wDebvdlv9/9mc997lf+6cbaIf/GfWP4/ggLyx4WwdgI+L5HJZT0I+dpsBakFLls5S6rMgzcgpmxucxnc9/IsOpmjB3YQItihbWWUuV9zYpblKqLh8c9UG7JHJq2XPUv8BVhoKgEgmpFUK9YGtWMkVrKaD1iYqTH5qkVnj7S42d+ZwNnz49y2aRhtAqNiqJWUdRC9zBXwgTf69PsW5RUeMoiS1NaMyPyZd2nUUnopoZu5Oabd/sZ7a6kWVFU2wFhUGfnxoR//4NN/u3vSr5xaAMWhbGGLDOkWZqX0pXjvYGkEilCXxL4lsBXBNrgeU7v18o6gCsHcJXTFCHsaxp0TZ7HGOPAnuV+FmMLoIsB6NPiZ+aUmOLPLYJMWBZXNcstjbHOTtHrQ7sH3X6GzQwXZj1eWjUcPJvgh6f8a/eE/+KD7/l73vdH8b/2A/8vXM7/CwP8xIUms6v9n93/7CM/cejIfPhwc5T7bmlx017D+fkGzY6i01O0e5JKIOn1LVHiysC2VFV0y6ElU/lPM/yZmVKkNnbQ4W5yG2hxsg7gOe3OE0tHUZQUKOXkMp23onnaeVp8TxEGbiRDJbDUQkO9mtGoJozUY8YbPTZPrfL04S7/9rcnOXJ2nB3jTmGpVyS1qnTRu2KphhnVMCHJYv7ga3WkUm61EkOZ0FiRL+0e3/eWFb76fEw7DujmAO/0FO2OohloQj8g8Brs3ZbyH35oiX/z24KnDm7AWElm3PVMUmc0i2JDFDq7axAIQk8Q+K6y6Ws7qNhqZZDKJfVSWETxsxwhbAFyBhF9eP3z1yXjWjooruWrrBk+INhh7pFmzqHYiyzdXupa6PqGVs9yehH27W5z3/WK1YXZ8PnnvvpP7rn3jcLaxZ8W4i+2a9xfGODHTxzHWnP7SwcfqFx9WZvabIUXjie8585ZtM5YblVotn2aHY9WR9LuOW9xlCiyvCxcVNMckIdnZgUms+4C5dTEmjyaWNeWldudses+VwFwKUBINz9ElqK31oXvROJ50vk3fEEYuJkn1SCjVnHgbtRiRhs9pkabPHO4y8/81jivnJlk65hgolaiJqGmFjr/SiVMqQQxnhdxYWkMTwmUNLksN7zRWSZJU8WmMUuaJrSSkF5k6UeGXj+j3ZdUuorQ9/C9EE+PsG9ryn/4Owv8y9+Ep1+dJjPSATyzJGmWR3JDFBjCWNL31YCCeR542lE051OxaAlS2jwQ2IExax3GHV3JP7ctKKEpgF6srmsBnxkcpSxW29xWGyeWXpTR7WV5zuGGDM11JOeXEr73HU1Oz0xz6kKTxtjXKtdctfV2uV7x+XMcf6HRbRdOfpQbro6q93/+sR986dXujqeOxFTqHfYfzQj8Plds7THRMHg6pyLS6a6yOKUzOCnlNmpy4JMoOfyzorFBaYlXAFMPqYXnOXqx/gx9B9jAl+51IB31CBVhoKmEimp+1iqCekVQrxgaNUOjmjFaSxmpx4zWI8YbXabHV3nheI9//etjHDg9zaYRzcaGZbwmGK1JRmrOujpat4zXnX9lerzDM0ciPvPkOKHwmahap65Uh9y+lieiQdDjwGnByYsNRgJLqMnL7BKtnWFKSXfdQLJrU8pNe1Z55TS8cr6KReZtanYQKBzNG3pLnKeE3Iw2NKXFqcgNa2XjWu4Nz1UQ92eFY9P9naQwuOWnM7i5sn6SOBWsMLwlCW51yftCu72MdtcNGVpswsyq4MyqIBY93nnHHO+8o8VCR/KWW1KyuMETzy6eP9ze+vF3vuc7ky996s8/Hu7PHcGfeeE8C+mW0Vcf+e1fkWrxDbddmfDAc3U+/2id1Z7lX/xKxI17V/jQPW3ecE3E9nAEKRt50qKcqhG7i5FlYJRwFlZTRIU8khf82g59E9baQeSmrJjka6vAybui/CDJ4gHCKTbaRTLfA98zhH5usAoyKjm9qFciRuo9xuotXjwe8W9+Y4yXTk+zcVQzVTWMVKAWCmoVRbWiqA6id0YYpNSrfR59yWe1GTI2NiyTF1HR5Hw1yRTTE4r7ru/w6HPGddHEbpSFi3KS0JOEnsbTPlpXkNJw5TbLz/3IPD/5q5anjkyTGE1SOAAzO4jkQSIH7kJfuwfG0wItBUoX14bB55NSDD7n+rJ+URBafxYUZkgly5QSMmuGJq7E0IucHLrYhDPLgkzHvOWOJT58T4tbrhBYM8K2CZ9XT43y6AHB9OTiG64XZ3/zuz/yvX/vx95/ZlVVdvz3BbjHSfz03E9+9dGFD3/jhRXecJ2lEVbZPSFpR7DSq/Di0ZAnXu7zPW9a4gfeukKjquj0PPqRJMvcv6Oygq/ly1pRNjZiAObiwhUOuDV8O/+lqMgVN8TxyaHH20XAgnvj/Bna4nmusTj0DaGfUQlTqmFCLYyoV/uMjzTZfzTip351khdPbmB61GO6mjFStTm4Zb4SSCqBpRIYwiClGsSkJqIdBwgl8fL3lwMOLnLvRy6rJR41v+/sAnHIWAHyfkbXVy5J9CWe1ni62IDWcs1Oy8//vTn++S8bnjq8gcRookwQZybvpBeEiWvl8z2Br41r89P5yqgESpZXCLfSylL+UlzXcjwpDGt2XS5krMWWAtMQ5CWXYlqAHJqRZWKyww+8Y5HvuTeh022wuFKj1ckbnnuKjdMxt+9ZwBdnP7z/xedOmCz+l/9dI7hNz4DavuP4C//HtbftnkFFk5yZMWiZsWHc0IgsY1XDhhia/ZBH9m/i8Kk2/+i9Ei8neFq5iyTzEQcuuVwXDUqc20WOYVVyGLidLfA1SWXOuWXeoaPyZEpri6ccsH1tB+7B0Mty3pxQCSPGGl1Gam2ePpTy0782yQsnNzA1opmqZIyElnoO7kroaE8B7kqQEfopjVrModOWR/bX8KXEU66zprxzmQM4JJkiNZp7bkq4/LIOJ85WmKq6rvV+7OaZdPt5FNYKrb284uu066t3wH/8u4v8y181PP7KFP2kQpRJ4tRSzX3cgYcDuS5WLzPobZUqG6xwSooSwMUakBe+FQFrXJmDQARrwF14zgugZ8a6QJZZLG413bU55cc+0GLjSINT50NaXZ9epAcNz0ki2DWpefZghaMXFtm4/blrf+af/eiO5w6cP3PLdX/2ERR/ZoCfPXeBpebIzpMnnvg/v/FM9B4vW+KuGyqcna1xfk7T6mT0oizv37NMJ5YklSDGOH5WMz2uXCIjwRPFsBqRNyEM1YU1SyBrlZJBBKEgJJcAt7BIVciCDgxa5VFbuxETnmcIPEPgp4R+ShjEVMOI8ZEuK+0ujx2E//ixjRw4PslkDu7RiqVeEdRCMdDKnfJiXPT2HcArQUScZfR7IaFyD5ksAFN8h1yFcImmph5Kqjpy6kIiSgA3+H6G72k8T6KVQklvAHAEXLdL8B//3gr/+Q9Tnjo8wUyzQb8mGc0s9dRNGwjy0xtQNJvLhZQAPozgg8+bf2jBaxNPRxVt6T7ZgXnLWruGwpgS4JWC8YZkerxKa3UrrVXn4Y8TQT+W9GJJry9odgwX5jPOLkRsmGhzzbaR95w6/lR20/U3/5OV5bnTY+Mb/nIBrs0xPFO5bXbm5fd94cGj+AHcsDdiz2aPqdEKvvbox4oob3PKMpedh74kyzRRbAkDBzoJoATWmgGwKZa5IkqXQD481pQjBjfBjXsoeittTk9s7hp0kVtr40ZMDOyxDtyBn4N7vMPCSo+f+4Mqn/vGFIudMaZGJFNhDu7Q8e5q6KhJJZBUA5tHcMe9wyAGYh560Wcl8ZkIWOPHRrDmYc4y1/zQCDRvvLHL00di2knASN613o8NfuS86r52ANfKoqSHkK5Ag4V92yS/8I9afOnpHj/7Wxs4vzhGb1Qz6gvqqaGaQpC40cu+cgONPJXnJbLwjA9/DmnK8MG8VAN8+f6YIj8qR/U1Uq4rV0sJgefm3Lxy0icM3L10ibAYdO+3uxmtXsJNV0fcss+QRUd46eDW9y21K3+QJL3Tf6kRfLnZodaoXnH4wKP/uLV4iLuvrXP0vM/ZC5bxUBIG7smMU0mSQpo6H7bAqR5h4Lpl3M1xACS/CDB84kEMaEpxAddd0kHUHkZvx0llruXK3LTlZDAHbK0cuD2d4XsZvpcS+gmBn1Cv9NC6y6MvZfzmlxt88YlpYtNguiGYDB0tcRJgoZOr/BR55C5H7wStI558dZRurNlULb7v+gieJ5rGeThCT3H7lT1S4wDeSwT9XHmIYjdyzdOFxKlyILrqo6MNgslRwYfv7VAPZvitL/d47NUJZpMK3VDSSC01bR3IdZ6HKJvnJTYHeR4Y8vyl8GNJSlH8UiAfRPNybaP0AJS1AGFRFuLUterFqUVrMVCBiklcSWpIU8v0qGLnZI3lpQaHThlayav80OVX/OM3veHuF2zWOibUn77z258K8LR3iv/9t77MyMjY5qz76t0jnOHmaxpctXuE1baHlK6JwZi8VJuXaU3eZOAG6RRR1N1wd8GGYw0o0ZHhBRr+9/y3AUKKpoUhNbEDHVdJkwPc5J7vHNzKeTECL8H3E0Ivplrt4/tdPvaA5j/93jQnFsbxgpCNdcF4kNEILLUAanmHfSVw1c4wLwg5/0qWrwSOniy2Mjqxj68UvrSDBLP47JahvcBV/iRx6lHx+mwc7bHardNLRC6ruVzB87JcHlV5l44a6NfDxNU5H9/z+g63XLXAf/z9Ph+9f4rltEY38Kh5koZ2HpxAO9dm0Qyhi6KPZPBAFlXgwbVeA/AclOvW1zXAXvcAlGlkZhyA+7EZXBtXG3AqUJqS964KnnhRstyxdLOIsfoi/db+u5OV5uZOZ/XYCwfPcuM12/+fATzLMn7qH9y98+TRI7/2Ox89y6dfnGTbli5//zsusG9nlZVWSJSPQCvONHW+BVv0PhYRNlcA1lfM8ri8lmuvi96iDG4KOdAOebcsLLcGWY7cKnMg91J87ShJ4EcEXo/Tcym//qUan3l8gpNzYzSqHuMhjAUZ9cDmpfcC3DIHtxwUhcKcewe+e3AatYhPP6k5dqZCmE/gGrSLlZjsYIyDdTw8STX7dsC7bmnzm1+ZoFPVNBJLP7EEcZ43KJPr4oUyVIDcK100typsn5T89Pd2uXbXeX71i+OcnB1hOa3Q9TQ1JajmQPeldQ9OrjINo7gdJusDdaokIRYZ5xp0r+fna/+svApIadcUlgq1rBjvEaeuo6ifWhbblpHRLj/2HS22jlfZ/8IFMn3br+3YedfbjWn9qVTlWwK81cnwq5L9Lz63dXn2wO7rL5uj2RzjoQM+/+1zi3zonkVu3K3Jsgrdvk8Ue0Sxzp1kznFmX/MFX8M7hhH7WxzF/9+QlpTpiftZeCxcO1puMFKp69zxUoIgwtcR7Szmlz7p81tf2siFpVGMqjA+ohj3LSO+oZpH7uqgfJ8XiwpqkmvnA3D7rnoZJTHHzgd04oCxIFdxRKHLD7YOGnDVgScl0TRqml1bY1TQpx3X6fmCSj6fxM/plZdTFF2oHkJ9k+RVMTXS5Uff0+V998zyW19q8eufmmCxV6OnQ0KtqGpBRVmC1FmUB+Y3OZQ1CxCuj+TlgPOtjtdSzJK+LoYPQpaX8ONM0Esk3UTQjiGyCTfvWeHDd/e5fucEDz8/yteeX6Yy/srurZvCrTdde9Npa5O1D/mfB+CePQvUpiZG5Cf/8A8Peb4vscqyfULy8LOTfPmZkH/9fbO8544OG6d8oqhCL/LpRa51qXCZGSvWUJE1YH5NInmJi8LwAhfOtwHnHkTv3CWnMgdwnaFVhu8lhH6M78U0+zFPHpB87IEGn3p8gn5Wx/d9JnzBqG+o+ZZqYKn6Q3CHgSQIJEFOTVxhKFcmcoD7XkKjGnPqouWx56vEiUdQs69JMIvDDDi4c+bFicLzNPfd0ubjX+9w5HyNXuhGM0SexU/BSwxebFCliq8UcjjcpwB4obEbSTXQbBjt8c8/1OXK7REffaDOc4dGWOjV6Csfz9OEWlCREMhcRi3kVWnzyjNrTooVdB1QL3XT7Bqesva/WStyi7OL3P1U0I7dcNAoidnU6PDeO1f4l98bEUdTHDhWx9iEO67J6Cwe8LrRbZ88dWHl+qjfWfhW2PmWAL+4ulXK+f23JSufH7nt6g6HztQ4dsGw0jFM1QQXWiP8zO8FfPLRFT7yxhW2TrS4+wZI0wrtbkiUeHkzsMp17Xy2tx22SxVfvnyN1ly4gmuTe5dlKXILky93JpcDMwdwlQ3oiNYJzU7CEwcFv/OVBg/sH2G5WUdWQuoVxahnafiGqufmGlZ88qjtInclkIS+IvRdY4Zz6Jkc3MatDH6K0hFHz8OFZugKKzm/XV84KXRk1wfpQJ4aSRxrNjQEV2zr8fLZlG7iEeUzvv0YBz6V5RRFDCbtrvdpFA9PIUMmmfOHf/C+Hm+9dYUHX2jzu/c3eO5Qg6V2lab06fgaXwl8KQgkrodTWnQu56qS7ViUaw/82SN58b3LKlJiIMpcL26zZ7C2zz03rrJjssuH39jnym0+WTrOarvCWCNh06TllZMhzxyOeXn+gZF/8L1vvu3Om6/6Ct9ieNC3BLg2Z4Nm1//l3/90u3ZqztDsdrm44CMSSc03bG1YVvo+B45t4MdfHGPbpiY/+T0LvOXmVTaP92l3K0SxR5ppsky6+SRFJM8NPN80fK+jNGVzvihoiTQ55zYomaFkhl+oGTJhoZ3y6POaLz9R53OPjTDfqiHCEK/u0dAw4rlOnopHTjvcDhLulLnlNOfdviAooncBcJ3i+ymhH2NtwkP7A85crDA5LvCkyZd5MWz0HdxxV8ga2k0VvchjxwbBfTd2+cw3YjqJRy8RhJ7FT10UjxJbWqXUQK9GyDU0xZ0y93DLvGqqqQQRH7y3x5tvWeKzj7f50hNVHj1QZ75ZpSd8er5GewotBJ6UeDKP6HkzihKu7U6uSzwHC1QpKBXAHjzUdphgpwYSK+hn0E2h14/ZNbHK225Z4Z9+uM+ODT4rrVGa7QrtbkAv8qiGGXt2dGjUUnbvCuhFF2sVLX752PELVwK9PzfA211DmvS/59zpZ0dHgoi0N0pzKWFEQ1h1n7riW2pBxnhFslL1mW9P8S9+pcY7bpnnZ35wiT1bElpdt21HlmnX7W7ybvdvRlkYJqFFMjMA9eCnA7XrkHd0xNcJYZjQjzKOXIDTM4pPfG2ErzzXYH6lBl6IbnhUlaTuWeraUPEsFQ9Cz4E79NxMQmczlaVT5H9uc5CbAch9z7WnnZgxvHwqAM/Ll3lbKtGLNaGuuOGFkuLUFDfO+ZpdEVdt7XD4QpVeKKimgiCxRIpc2jN59C7UlEKCHHKVgc6eS5HGqHz6gEc/9qhUIv722yLefccqX32+wx99vcrpmZDDF6rEqwFpoOlrjVTSlfMBLeUA4EUSqvJ7VH6AS0LLGoAXNtvUQmzdSIokzcj6Pa7cvszP/OAKb7pRESfjnLpQpdML6PU9+rEmTlwuF/oe43VDv685dLTPCwcOUq1+690jvinAW622SNP4x186eGTU92Iu3xyyaSyg08vyjnjnLShcYvUAGr5kplXj808qkgz+tx9e4PItGb1+SJp5ruPdqJyTs7YxuLguIgd56acQZhi1RQ5smREEbpJqmmXMLsHXHtacOF/hkWcqXFipcGKmBkGAqmpCrahpS00bpyJ4lkC7wfGBRw7i4pT5qXKAk3PuHNxeRuC56O0erJhTC3DodBVPrpUHBxSFoR+8bEcwufLhZrt4XLWjxxXTXQ6eTOmmHvVEEGnwU0uUkEdwMeDhQso1kZwBmIqhPmKQzA76KDOPyPNpVGK+7y0Rr7+2xYWVFg8963PyXMBX91eZWQrJeh5GahJfIaR0K4Uo3k/k0VyUAtJaoFvWUpOCc2fWYLMEkj5XbV/hZ394hTffHLDcGmOh8KP03U4cUVxMLnNzFNs9Sbefktoui3OHJt/1PT/4j1vLMz/fGN98SS7wTQF+7OCfkGWGqLPM3FIdJRVT487yWYjxbl6dIcodcBXfoBVk+Hzh8UnGwj7/24+tMlm3JHFKZhTGqpK3pIjiogTqId8eJpSF/Of4tRdkJJnl5DnByycVX3umysFTPq+eCmlFIVEcgOejGh6BElQVVLWhUtKBA134NAS+x6A5IMhpie8rfF/mD4Adcm8vc5VFz/H80E+wJmZuWRLZAK0lvrToXGYT6zh4sXS7Gy6GNCLXwwWaqfEYqfp0Eo+uFk7pSIaGMa3MmgqkFGWhPR92hMAaOYzk2VDZ8jI1GD/RjXw2jsVs35Bw02URvbjHD5xqcvC0z9eeDnn5VMjJsyFJqiBQWCkxQrGmGpQnSmLNSjzUge3QApq75xJIEzY3Ovzk9y3z9rtgYbHBxYUGS6sVVruaXt9tMRMnLtlOUojzKmfoWzaMepw83a597oFnP6yU+vk/VwT/5J/cz9n5VbW89Ky4avcMV2wbYakp6HQV3UjSj0Q+F7AYyOhmRzd6GQjDhSZkfckrx31aiWWL30fYDGNVXpaXA4qyNnzbAe/W2rhytDSksaXbdw/A6fOSP3wgoJsoXnw15Pi5gMWOT5T5oH1QHqqh8KWgotyclVDhxpmp3HikXNT2PeGKHmVwexI/pyWBD4FPrpq4krnbUSLNK6IJlTBmfiXja0/VabYDxkYEWpqB76bAwfrD2nyq1ICLS6JIMTmheOsdfb76XI+zzRo9TzqaosFLLV5SaNa5xi4zJxdSnnUiB+9hrC69hwO6nykyrUg9RZK5cXhOSk2o+gmvvybl9isj3nt3n6PnJC8d8ujFio9+rcqpWQ+EpNvTZLHKy50Sq4XTDsoP2/DblsqaBqwzio/4EddcHuOHAWmqWVh12xS2u5J+7AZ9pqkb45ykhigy9GJDpw8LLUNsu+y8/AVx9y23qsMHvpbuu+7NfzaASwFBMPpLjz4rrvt8t8J77l7hdVd2OTs7TrOt6UUyL8vnPXiZS5SyTDM9mTC9cYnV7gpX7+oR1iBSFuPHYAUipyei9N0HT3xeEGp2BS+9oFlqOdfeM4c8vvB4SD9R9BPNxVkPIzSJ9TDCA60RgUZLia8EFWkJlSVQEChLoKzzgOtc89XDyO0XfZkDcKu8R1MMorfvGXy/MGhlg+jt+wlKxTz8guIz36ijfO3ktjX8+5tH8EILdzxckmSKft/j3Xf2+NyTLT760AidNKSW83Cv4OFJUZSxg24hIeQAXHkNucT1SwA3eSe8dpHc04pUa3SaOaCrjK5yg/THwpQ79qbcvjcBEfH+e7v0E6dXf/7xgGcP+VQCwWJL89IrrnNLyEsBfB3QcUOGop7lq085y8fSimVmVtHquOLioKnauIm3Seoqu82u5fSi4bZr27znTsNILbtutD7yS8bwo3+mCL60usr4yEjjoa9/eu/rrjHq5Lk6X39aU/VW2bslRmCpBCpvWBADL7fA+RqmxiP27lxlYsMcp2fgv/xGnflV55+4pPJfXtJy1WG1o3juZZ9WUyG1JDKSyGoXmYQGpUFqhFRI6ay4oXJabiANviyBWQ5n9DmQi2HDgxaDgfrrwe0ifG6r9YoInpXOlEAnWBtzYdEnjkKCEYmvytKaWFvFLBU3ivL6EOSSzCjixGOsrtg2GeOLPr00oJcKKtoNwSw8JEVBq2jedg+RHLyXew+ZF39MaQi+ye/bkBqlaZbXDVS+/1FKkmaopBgz4c4tk06pEsJw5fY+se0htaXZFDz3sma162jT4LuuhfaaV0pa5lcVv/LJGmcuNBiZGGPvxpQNIylKDQPBsITvPCxLbclN+9q89SaPoyfrrHSFuttv7333u97biKOVlh+MfWuAry4v0mqu/vy5Cwfu7SYzjIyMcP1InUboYW3KSC0hM+mg1FyAW0lL6KeM1HtUAkNDCR573uPjX6iz0PaQqvRkv2YZK4c4iZUCUxi6yX8KNUxypEQJN3MvkK7k7OeSlp/3GnpqGPEKcHvaddS7rfcYgNttheK2RAl8ga8ZWExdBM+juDb4OsPTKZ6XEAQJ5xYNv//VGmgfT4phgjmgJ+I1EbzsvSmGhDqwueE6ceLxkbf2+OyjPV6dq9PJPKqp25TWuQDtsBMn35Nn8F7l61usFLlyNYzigiwHeppJtFZ4mZuX4unMbfYl3UZfUhayZJYn92YwOEgJgzSGyarhnXcZkG5vICft5m7HNZWgosRvkdqy2IZXTvj8yhmPrK85tyzoR67LSpXL+KWkWQlLe7XOy0cDpOrRilucunDo3oWFW34+TdN/8KdG8OeffhAhhX/iZIdnX52gGihu3iup+BKtM2p+OhjkXnRLF2XywE8YrXepV9scnxH84QN15nsBVDwykU+fLOQssS7nHvwuCqMJlDJ2IQRagCfyqCzsUKeVOahl0VQ7NBJ5On898ELnTbh5d8sQ4HJAWwLfDlrafN+UBuekeHn09nWClDFnZgULrRChNYFkDT2RYu3XXKMslPzvZX6cZoo49ZhoROzY2OPwbEQv0/QzCDKBl1m8NOfhKQNlaejVUaWnaVhrcJN27aBBeEiNDDozZEqidLF9ucpnp2S5alMCthgCvCi2ORnXlISBobRbAHswliIXDoTI2BAmfPjNHe5/ps3p+YDztko3VVQ9d2/XeNCtu56htvQjSRRbbtrr4XuC8yttvvLVR3x7CYbwGoDPzTv/yuRIxPe/zRB4MFrvsXGyy0itR+DH+S5exRV1+rRWGUImXFxKuP8Zwce+Ps6zR0ddlqa8PAKvB3i+fA8kJocIOSgoOEBrkVfVxBDMWgy1ZueIc4Fel0BejIjQym0utaZpWct8ULxLKv0C3N6wX9Mvun+0GVAUTzt+6vsJKQlferLC3EIFb0ThF9RE2rUKyrr1qpxzDUcwDIs+/chNsH3HXR2ePNCnlYZ0taaSGuK8nK7kWkOUHIBsuBLCsBtqGAXzmSp5N1VmBNoIUiXQmcybvQtQqwG4h5G7sEeYQSW5DPC14LaleztUxorPaq3HzVck/NefWORjX4957MAYFxZqGKFRUq7pgnK0BipasNQTtCLDoTMarTU7NnWJ0pOXZMBrAH5g//2EYfV1Tzz10C2nLixzcSXmqp0ZG+sxn31KoJTTnQfj5Ad9ka65IMrgiZcaPPJ8jflm1e017SvnmSgicY7tosBcFAkKQBeVsqKooAfuNosSwpW/i+pa4f2Wbj/5YhRCGdiDOSgK1494KYAXCWfBu3VBS2zOt9d6yX0vwfdiZpuG/ccroH10Tk90yaA0cOKtQ7hFrGkKKEYwDKqOmSJJPG68PGJitEdzJY9sCrzUfReVWXcmZYDnNYPBGw2LaoNpVca6aG4ERhkyI/CMIFOSTBkyJUiVRMuhcU3mk7BeA3LhlK5yEU4MInQRuRlgpAB98XeTNMPTPu+8I+KOa5o8+HyPJ18K6KUasb5TuwiHUiKkx+P7A7aOpuzZkZCkIVpP3nLLzfe+7gtf/uoT737HWy8N8JVmht/vv3N2Sd3w9AHN0QuaTZMZkxMhD77ok2TFBqNrh1wWEdkKRZJ6SKHxRiRKyIGjTuXAlZS8JSWwF5GuWNaLvzuYTCXcFKbBlCoxtHcW5iClQMsSsKVADbpXhsAumm9d9M45t2bAtwtJ0EXsIbi9nH9rnSBI+OLjAU8erCMDjS+Fm789cBAO/c9DF976amZ5NFqhiSsyo+j1Pe64use7Xt/m179YJ84COpkkzNwmUMVqNVgxhHE3v6Arg7f6ZpEcjJZ5v6Qg08ZF8TyCp0qiM+PyHVkMChr6fmSp+DasNJcpyLDrqqAtlP97/m+4OSkBYZDw7jsy3n5LjBD9nL/nNKt0fYxVxKnmkb0ZG8cFmybhxaMQZdwg6b0z0MkTl4zg585dYLRRe+vHP/fQ95692GTXhlHGKpallmH2gmX3uKUbC3qJm/SfFgNfigiRg7Re2EQpgbKUZA152HDpfo2voWTukTklV6Jk+hmMYhtaO3Xuk3aNxiKP5DnY824YT60FtxunsC5y5z2bft7e5umi4SAtnQkxCX/0UIPMBqhB9bKcYA77GsWQgJWqeyLvRC9oinRAy+RAchV4fPCNXf7gSxGrJqGXhfQygZcyiOJSWmQqBrTByYXrvUeyJE2unWCQadf5nhqBpwyZclPGtLKkUuYURSKzYp6hHEiUQpjSymHXvC6ADGWAr61UD71Fhl4/zIOUySu+dgDuQu1xw0Y1vchj24THStvj2RnNwkpKtTLHVH3ley+78l2PLC1c/OrE1Ka1AB+p9fA8cfm1Oxd3V6N5pGgwv6yZX4aFlYzF1YTVjqETuZEEST6mKyu6p0vZ8vqSbflY7we/FMAL/rommhcAH3Se5MCW+YiIImIXr3PHnZdPsnJTreRgbMJASRnIga7j3jUm2zxyDxNMXYregRez/7jk2EyIVR5KSnxpBqakIUUZEvD1KkpxFtOhBqqUEQNFJUk9dm9OuOqyDt84WiFRPr1UEEo3gVenorSyCWSac2EkAsPatxSlKC5K1Mj91HkeoIxboVOTN2xnwuntSg5WiiHA1cCyLAaRfBi5B/dalO/3pe//4JfySD9KzdmZJIpd1/1Ky2N+RTG/bFlYyVhYhU7UxdS7u0e3tC/vdntffU0EP3F6mUqlz3OH+vRbK9x1dYvLt9aYWahz/HwAZ0GIBF+TbzFXjAQoQF7meuvGC6wDuV37nV8L8hKo14yCKL0uD60pz0DRg1kowzFtw+2/88hdGv7juu0ZAHtQrRxE7gxfu8KOp516Ykn444eqLC1VEIHGly4ZVuv59/oEc40OPhxrVvZxD7Rpo0gSzeS45AP3tdl/vEGUhXSVTyVzXLxIvJUkB3exVphcEy+MuTlVWcfH3YCl4gFz91EbyIxCG4MSlizfqEuZIqmVpY6ckrNzHbALavJNj8IyPTBklafalpo38jNJJVHi5l3OLyuOnUs5OZNwYTlD+DE3Xdbmis0dbLKCst3XUpRPffbLSClZXmny6skNPHqgy017u3S7ESvNEZStUPElSuR9c/n2c4MJsNaWxgOsm3FSAv03A/ialqYyQNYAXOR9l+VIXkTt4U8th3tfKr0W4L7OBwB5xdaBeVFIWzyvoCT5qbM1p1auc+fVM/DJB+pE0kdJlVcv185kWV/BvETxenCD1/LwYjyxIs00Qab5wFv6/M5Xuhw4WSFRHl0p8TOTK0oCmZUVFZu3l9nSu5j8vdbuW1SO5AW4iyhusnwokDHIzOU3xTRakQ8TLfj3AOBibeQu6OgwOIvBdx+CmHzLmZKiVBSlSrvlFdtERrH7blftWmDjpohmD27bA6Ee4fyZ0ywvfBxrhxRNA1ycWWTjponqv/75X9rVqF/k2p2W/cca/NFXGyRJwmQD9m7J8D0ntbnRuMV44yHQnf2zPOrYOciG7rm1N/dSy9RaasKw3UuupShupiHIAtg50MtTm7QuzTnMizxrwF2U7wtgq7xBetAiZnJ6kuZngvJijl3QtGMflM7piV1nj33tirRGRSnxYbteC8+7cYaFH03NE+zd0ufAsZjMBPSMT5gJPJmrSjlVGUTxAec1DPUqM7jagwpnfk+0FfmwHgc4ZSBTDvAy351CmVzdyqN3JofKzTCar7c4XyJwlx6u4QPtjGdrtn/MihWN0u/uM9cqhn07PSZHM+LEZ3G1yrOHFFa2uHffxK7X3fcvqm955z/obti40QHcpiforMy85barJn/yDz4JFS/gii2CnaklM274ZRg4kAhRCCj5kMd8SH15RFdqhkAfzPe2lxi/VrrvxcUoT1YaAH0NPcmjuBKDMQcF0IvILcvDO0u7GHuKXAt34HYAHg4FGkRwvS56F32dfsxy2/B//0mdpV6ICDxHT6RdQ5eGg3O+uStjAHScbdYa1qgFRek+TTWNqubHvrPNg/sbLEU+sdT0pMQf9FCWHy7rjFcDoJmBjdZicnAbLHKdsuL+LWMtygpHVaQDu5aCLH+PTBYJrXuYlMxXDIpRFmvBvaZYU16x1hSbXBNEMTg/zaN3gaPiISiqL0mmePXkJL5nBoNFp0dTPG1Y7m77ySeeefWJLO19dhDBz555Hqk8JoNzfOiNMYutBp2eoBdBP3YAHUw6GnxIO/AJOJC7LaHTtGj9z7eGziO9MiV+fokQXo526yW2QW9gYQ+Vw3l6ZW+0ksN2riH3ziXDHOBDzm0GSeWAlhTAVlk+S2UYvT2V4Psxn3jI45UTFZAeUkqCYrlep/wMPEdCfJNI9toWrnK7mckjeZK5/Yyu2d3lPa9v8TtfCTE6oCd9AimGRZ8B8AqArY3kwpYiuRUDmbLsiTGKHNwWIwVSgbaQCZe4u5kp+XvltCRb05ZX4uCloLV25RID3T/NwZ0MptQ6W2yaD2YdAtxSnpdT4MOYfFBQlNGNJGfnFFdfdZYbr7X0+smQong6xPcCZnsQ2Xluu7ZFFNU4P1djcdWjH7sPs3aq6HAOtBvRq4Ye8SQjLuyc+a65xbTR9UN9iuV7CHAxiEKDaVUFVSlNXhqOWmYtuKUc8u+iZD8AeAncxazCAuDqtZFbKxe9Pe2mVq00DZ9/uM5iM4DQW0dPvjlFQax1SmPX3fCybFfuxMkpSpJqxhqKv3Vvl8892WepExArTS+TuTxZqCliSBsGq0fxZmZgo8WCGUTzIk8SKJvz8GI0ReH/kPlny99LFg3JefQeFprE8OEqBa7Bpyg5KMtzdOJUEMUQJYI4GW4jnmUmx9hw3iHkwTVzjTZLbcvZRUOSRezY2GJ8fBtWNpC67wB+8NXj1BsTO48dfvLHv/rEEicvVLlsq2Xbhg7X7bRIWafTU6Rpabq/HS4bxX7w7oMq+rFFRQIhMhDZYJnKBBhxCYpSughrR4YNufdrIvia6bHD6O1oihzs5FAGuKeLkWVlWmIuSU+0Lhd1UrRylctTpwVHz4QYAoR06okWdlhwWZMglyq3JQ5W9qIMI/mwmGEHBR85aPFLMw1Ws29HzO5NfZYOV7CZ76J4JgbWBVWOpuRUZZDoFoqKyOsWMueaopR84oxuhYQoHdiNBJNH7qw0KUDlyexgnqEc7kU0rGaufbCLRo/MCNJiJmEi6PXdFi5RbIjzyVYF7R2M17YMgJ4a1yPQig23Xd9l14aUXRsEnXiOK7be9ON33fa6F7/rbUdP68mRmDBsb5weS996+YYmWTTJiTMwM5syFgo2TTjdsxjkU4w3LjpFiu0rktR1Xnh9500uBrGbzAxEe8ml99MZFkRK0a8EbCGG3StCDCN2GdgF2PVABy+f+ZbWah3nLkfvYkiQGkZvlf+udYJSCV/6Rp1jixXwh/SkrJ6IddH7W1qjKSXfdi1dGNKUko021lw2GfOOO7o8+2oVjGvm7kmJl+VDPrO1VGkYTde7+sjnQg4nHQxey/y1dJTF2BzoslhB7SDBNzmgywW54fcvlJy1VGWYUDsKkqQQxdDtWzq9lF6UEcdFLpdvYZPLmcN58e6/pRlsn5Lcta9G1dOcmVU8e6RHddq+9excvLHZMqd1FDt79WobFlYkmyY12zZIAt+jUU3dHu7SDvTb4fxusSZZSDNBFEvanttpOIrWAlZKsJcgo2vVhrXJ5eDi5TtEDFq05DDBlAPVpFzkGY5OHm7bwWuBrYcDggYj3rTJQZ46eqISKtWYbxxRfPbhGr2+D1WNliKfkltyD65LMMvU65IAZx3/XicZlnXxJNWM1DXvvafPV57s8swRH1vz6GUBvnBOSlftFZeQ7ApwD3+Wx6655DNXdJSL5pl0fNyBO/+9NKQzM6URb8UoD7N2vvg3k0iL72mtk8PTzG1GtdpKafeNA/ia/Zlc41tZcgb3vp2O4OkXNZ6n8DzBxjHBWM2Nows80LMrFr8PzT5s25yxc2MXJSEIMgIvQ0uTj8kVw7NIUCglDfkN6fU94sTn4oLjUsbYAf2w675w2StdBvkagMshyNe/LpSUcgVzCPLCNutmImp1ibMEam8Qrd2plEswfT8miTO+8lSVV89WwfMQUuWgsmvsA6+NYutWqXVLtbuGubpkXquFF2chF8ax5srtKW+7q8NLpytEqU8mPXpG4WcFwEvzSwaWCBdpyQqQGwbF8wIwquh+N46DFwCUAqtA5kCTOeClFEiTKyemtNoWSS7Deznk4mvXbiXzYaCepdPPOLdg6MVDS6/NH4ZBcC3yvxL+ljpwdtHNeZdKMN6ICHSPsUoPlXXRM8f/BCk1UbRKtRKz2G2TWYFoZly1M2F6FIz1yErDe9xlcjdHMGyfAsPcKjx6YIwzF6tUw9cWbGD9Uy5ew7+HUfubgHzdyN+hB6UA+HByanEWM7Edx7al6G1KwM6jt3JFHa0SAj/m4BnBV5+s0u35UPOQonAOlv0wl6hilqhX+cYWXhR354ZL75qiT7khOTdgxYlHvR7ztjsjPvdon5dOBqB9+kbiF1zcFFRl+HnIgEtG8hzY+XtrC1bmwUy6aF5E24E9ogR0JUEUUbuo4pq1gUuWJEMpS27SfIiTry3ToxmtpMejRwwLKx6gBlR0/WFgUF9JbcqGsT7bt6V5gzVEmeJTX3mBB588Tpql6JnZs0gpiKOEZw5pnnilTmYk/STj2j1tPvLmRT5wb4sk8bBGDC6OKDo2hOXcnCDJDMcvan73/nGOnvLYXHMqSqBdNVGui85rtOKCmpQ6YIoNq4ZbkgypScEBC3APd3NwoJaFJzxXSgazwteAvERRBqcDtlKuqON5CanN+OITFR47WIFQg3QNzX5RJi+DmnVn+ZdvwsHXDvsXg93Ih4qKXAP0qO9x9zVd3vG6Lq+cCUlTDysVPaHxsuHnEQZEVuLBaz7GWpCXh9grJUrUyY2osFYgjcAMAstaoLv3G6peZSXHlGintflKl18bRyMM4yMx739Dk2svW+V3Hwg4M1Ohn2lOzXpOry/zvTyiqzTh/fct8t1vzLh+txsOZI3lkZdDDp9bpd1tA6CTZBytBavtDF+k3HOVk2SSFA6cDTh0bpVTy00efsJdcFEilkIKMqv42AN1zi+HREmFuFNh+4RzthkjMDgtsuDQ6yN0ubCzdguN9VG7APqwojmI2HnUViXuvZaKFK+HoPbUcPpsoZw4xSRXT1SC7yW8eFryyYfqgA/SQwjlmjAKeXCdZ6b8wBaQGg5UKJkUSn6dsuzqord0VCETGJWPfsjb2dJMY63mg2/s8bWn+jx3wjWUJELRzURu+MpVDmw+UmLYTbNWuHN/Vv4c5YKMKh4+lf97Oa0ShjVAH9gpDIPIO7geeWS3edByrTlDkEuZ96SaCvdeH3Pr3g5xtsrciuVjDwQYxCBQFDtOWAuPPKm4envM5vFNPPjMBEma5w6pYTL06CXOCKbrocFY2LHBsGeLdZpkItHK8r43dhBen3/3yxN88mujGKEZdOZIBcINhPGVwteSRgDbxw0jocFTYvh0FxegJPEVP9cml2JAScTg71MCeMlJKNeCW0v3kXRpZ4dvCW49/KkL/q0K/p3ieSlJlvLIMxVePl4BzwOpS40N677bmgf0Ekar9V7w0otBA0S5slh2F2YSo4o94jVR7HH17j533+aieC/zsEIRCZ++wTkAhQO3yHm3EBYySorKEOTWWqwa0iZr3XW1yuZc3N0TawXSunvoXpdBXXKB2iJ6DyP7wOacv4eRYrC5b5JKOj2fC/MjjNYDxqoRG8Zi/ve/n6BkilTpmjmUyIxPXK/5g69P8vQrdRqeu+9RAlGcsWFKMzoiSFPQC13H72phl42VJXxtuHxHSqOSMrsS8UufHeGzT0ygGiFhPrrX2VSL/kjX6BsWg3U8SzUo9nosCi5iTcWxbJwSsgTu4gEYcO91TsJ1wJZ5q5osgXwAbmlRlwC3zumJLk2gVbokCaoUrZxr8NhFwe9+pU6UeFD1cnrCoDVNrakclpSTInp/K4qy3nFZoillKfbSXFxTCyTf/7YuX3ysxpEL7uHLjKKXKafuZK74M0g2MzFoMmEdyNdMgc0LPGXXo7SgrMWa/P6pHOg52IWw7rUpB7OS3GtzWmmHPm+RWVIhSDKIYomUjgInqSLw/YFFWcvMdRQJi5SuCdr3Et5zVx8re/zip1ocOhcyWrFsnjakEuo1mGy44VT6u9/3oQ2PP3/kX33s84/T7Xu0ugnX780IA8vjL47w6pk6I3WPqicIlEULM5DFVNEfmTf3+nnH+mBilC66a5xPRA5APuTVw4Rk7VZ25Yu0BtQid7WV6UnxewHsUgRXA3DbwWy/Qhoc7AIhTSmxdGdsUz79UI0Xj1Vcu4/QKCHxB/2hpfEQ66I5JbryLY+yEY3yNuU5TTHGAduuL/5o4r7HjVf0+M43dvjFj/n0jAdGk0hJzzgrrTTOaThQqEradBnktgB6mao4JjEAuLVDSiKtRUmZc3AnFxpr1wamgrrkBSMpCtozpGjDzyUHEnScSvxYD1ZYNRiilHvR81wp9Gu89cYu26fmefhFn1ooueFyxXKzQhoLGlO3/avKyNV/V5+/cHi0ppbefvVmy1JzhEOdhAefrpFaMInksgnXyewNevHWGqAKJ5+WRTm8GMkg0J5wW1nnJXSpiuqXKFGUUtWyFKXXd/MMondpFzUph1G72E1tqKKYgRRYRHGVVy7XUBJVLuo47u3pmKMzko8/WAWpQbroPejcLz9s5ZMhNVnvrxn8Uo6OOYCwDMxWa7bKXlfZNDYv36uci2eaD93X5TOPVDl03gepMJkiEhpPFDZa90FkliebWUlBGWjixWcqaFJOU3LCWwBeWbCi+DsGKdwKI417nzKQy8mlKORFUy4eiYEi4r6fIMkkfpJvmZjfs2H/Z8Hnbb5yZ/hejU0jMd/1ugxjNLMLNWZmQs7NGbbt7r99tHtmVF+7+wwn9AoXts5z760BH30gYLntM1Z1Hmld4lbDpGl444Z0oRSty100Sq7xjKxVR9YVd8qRcF2DQ7G51LAnswD6MGoXkbsA+wDccqiUqNxIpdQwsSzALXMFJVMpX3iixqFjQ+4thXTa9yB6r9vmo8S7ZRncr+nGXGsXtrncOkw212niRTubEQ7cMhtMjI0TzZWXR7z7dR1OfDwgziQITWIUvSJJL7ziefROBvex3JQg1maX5eSznGzaXJotKorSURMrXOVTWMe7pRnWAwZRvQTyLBcIMiPItHBTrDKLl1ri3LfvpiWYwb0fGseGF7NocQt8w2g15djFlI89lrJlfJW2vwAXJfqhF7ZydsbnTx4/R7OjqSjNjikYqTknnkso7LCiVLICFtRirSa9du/5wiuytuq1zg67Rjd+LeeWorxbgi0VdYqnuSQFFgAv+LcsEkm3Ye0A3Dk1UbIkDeY7Qpy8qPj/fbpBX3p5BF+bXK6de7J2Q6xvWr5bz05sKXrnUXP4WnCp0n1mBJl14M6MJs08gizlH7yvw588UuXEjAaVQKaJhYdCoBmOOS6i9/CRy/m3KtGVUiRXdhjRFSW9PldURP7a5jbbgo8bKRClqD64r4WUmM8I0jI36+UBUCeu32DY2yoH97w4MjMMANa6qO4py2g9ZefGLv/rDy0wu9DHBoog9NFjI03mFvvIrMJl4yG1iqAWurnYSrrlK03zfdATM3B2OYCXNGuJoyFlh59Ym1SWI3R5FVhvkR1WBe26JofhmIgiehfALv904M7neeRRXK1RTEwpqRxyb0/HtGLDr3+uwYX5IB8R56RBLcuVy29CTdYrKAPj0bek4Wusq8NgUhiwytJhSRPPFJlUZKlmy1TEj7ynzX/8XZ9m4hxmxkj6KCcbZkXBaegVH3y+b9ZnVTT9lkr7Dg+WfFtTx82FW3VkDnQh8vKIACMswg7doYU3plDGMgkyLVkA8mFGw3su1uQy1uZ7+SSCOM13Y8MF1tCX1CsejWoNrZpEqaXb7aNNUmWq1ucdtwl87fbVKfwcUrp/tNNTrLah0zckiVnny71ECX2dDCjlOj7KeiBwCZqytg1rmGgWrw1D/Xs9TTFronhBSwrQD3l3ms/dc9xbBwmf+mLAr/1xg8h4jp4I7SqXorTTwSUMVq8tXJVhfWmIr992b03hx5aAbeylS/jGbQUe6pQffX+Ho2d8fusLHsgYUGSiSDjJk82SnTXfKXlNwWeQaObFHmFRBT8v83CZR3MpMMK+BujrH/RBh09+48Ua7KyVg8vYKTefk/P1OIFu39BsZ3T7GVhXEdU5c8gsZCbk2mtrTE7W0EcvwMoKLK9m3Hplnw3j+ZIt3ddd7SgWViqkWUiaKZQoRkSsSwxLH+o17rpS0lU+ygAfKg/rE9nhzsWDHYwHkXttFNeDXdbsgIIUtESXNqcqZu2pAcjdrMHlFfiTB6usRAW4PZDSSaH5zO9yWf41khh5NC99t/X4LgN5APKymlKmJjkfX9PpU/jEZYYyCmM0aaYZ8TPe96Yun3miylJbgUzAKBK8AR8vX9t1d4I1mYFdR1nkkKIMrAU5yJ2Jzp0FZSnLpWv6M0svhmAXeS63tvYhSpS2CB7WQpJZur2Mi0sRCy3Datddn2JOzPSY4JrLIq7Y1mNiooduBBoTKnq+pZd1aKUdPBI0GZ2+4AtPVEkSwXjooaRzbJULL8UAIiUvfcML4WB91Crf8ktH8nKktAPVpAC0XAfw9eAe7GUzeF0CtxpqrAVF8aopX3w45JmXK5gS91brksu19KT02UsPanlmRvkBv8Q3p0jmygUfUwCrNOB0UN3MS/iqpIunmYc2KbdfHfOuW7v8/pd8UDEIiUXSF2qQaMqccKyVDL8JeSrtwGGtoyjgrKvK5lTFusYHK1xxyQpes1Lb0j85+FH8T+neDyugokRPyrtZuD+bHBNcvrNNbDt8/kmfdi9vKlcKFQZ0Y0W7ExKGVfRYTWBiONIWfOZRn/m2wuKWf5MJzpzXTI94XLcrY3JMOflPr9s4dJDpDjtKyhHMFEtwaUzC+ksr8kSoXCAoCilS2tIkq3XRO5eS1oNbl9WSIrmU2YCiuAieoqSbc3LirOR3v1hntu07i5t0g96VcNF7UP4uAfy1CfK6Hcj4Uw77zehJ2adNTklsiZc7cEtjyDKFlG77kw31jL/9rg5PvBxwYk6CSEAojBH08+9SFGPIqUqBOrE+iuePniq+hSz+iysggbM/F7RGCErgtusoGmsMZeunLBT3f62LdAj0gdc/7w0eH1HccEXA9HjMVdsMaZYiFRg0i6uak2cVrR7ojkUHQZdK2AeRsbhUpd9zZD/DTX26cZdltCZpVLXbvyZwI860GhZbBrsZCPOaJdAJ+EOTuzG8xtc7AHgpeg8lwrXRW66hKKUEcw24S4nlumhegFvn/Nv3E6LM8CufaPDY/ooT86WzJLimhmLmyfC7DselXSqxLEXs0nVYD/hyascakA8TTUvJPlsq9ihj1nBxkylSqVGp5u6bYv7uB1v8zK/4RKkEoQBJKhxVUZRAlEfp9crKa57CMl3JK0AW4TRxcjUjj95FFC6mWa15eItJCyWvd/ktBjRvnUXDzbhx466lELQ6koMnxhir1xmrp9QDMzRvkXHybEInSQnSBL3UDJhdDFhYDtg+pakG7h/FOh6ktduUqRpKqqHbRs/3ykPYh8BbL+kUFyXNZN41LfNu+2IexvByytLTX9a+XXHHDMrx5fcreiFlLgcON4N1QyJ1GeA5HRlE7jx6e37KQ895fOaxKlHsQUXn3FsNoncxALSoXK7xn1BSS3LglAFdcMxLRu/S/R0W0e0A6CZ38A3oSomHS2tQZqisFDupVaop77u7xwOP9fjac8rJhsKZuBOh6VNM73UKB7lXXF4C5Lb0ylqXAA4/sx1EcHLODA7E5etQFJCKzpw0c+1mxdSFQaArU5XByj0cB+JpQaKKTh9FP5YsNz08Tw+rpNJSraRMjcCGMUW9rtG3XNllZVOPCZXQTwKiRLqdrRIxyIq1Jh9IWcwQKakW+RTSoek/F0gZ3qRiD/tYQCwEpDanLmt2cF+TWA5XhuH+6Wp99M4pyuDnGqWkAHw25OJy6DlR0iWWqx3LF5+ocORi6KhJDm6Rc+/yHpFlDr5mxRlIhU4fG3DxP52kMJizXmrHKlcTX+MRL+TEko1WCoXMDFJq4kizd2PCu17f4ZnDAc1IOoDnttMIt79m8XmFJR9lWO7ycSBXpc+p1jgRGeqEuC8vTf7dC8WstDzbPGq7EQ/OqZqkbtcG160zPF47wSzfYlxZtBZEiaUXGdodN8ZESjcxN863OEkyy3IL9l5lmJzM0K+caHBhtsdzB9rcfGWLay8P6PRqrLQC0tR5BAYqhXTNAgWgnPd6SBuG86LLX8xtVd2PdP67IhvM7ijoiS0BZi241aUSTFUkmcXsarsG1Gsjd1kWzCuW0lUwDRm/96UKv/bpBrbYGkU4z7cW+Y6/gjV+k4JCDehIUeUtc/DSd/uWRqty0nUJsF9KNhyW7l0EzzLlrrtRyDzhVMrwo+/tcnzG49c+o0hS6bqvjSTD8XFJWaNfC+z1rwX5M1Iu7eec2/GMglu4yubgqw+DeJ5LOFD3YptvMuVmn5Tfca0FxObGviEdHu5ukQ0aItLMstKBZmTYd3mbe6+M2b5VUKkG6JGqYE5LnjtW4SvPw4+8s8dbb3VbAiaZGHxQkQNx4A1YMzPa5mXVwjvgoroQkGWSfuzR6oQkaUAvKu2TeQlwr6Emg4aGS0VvU+Lh6yK3KkfuLP+7jppImaFkgu8nHL8o+cwjNTodD6oFuDVCyMFOEoMZ5Oui9hqliDLIh//hTyvyFKBe2/Qw5OKXitzDrWOcmiLXtbZJoUmSjHot4733dPnK4xWOX5ROVcFF88wI+sI1Mcg1IZn88SxDzv1ZbjQcvH5NJp3TWvJezeL5KNsXEG7XtGZXsNKX9BK3nTcFoAswi2Ir8ddOER6KGMMHMM2gk1jecnuXH3l3m7MzlvMtSz8T6NPzARcXQ6aqVa7ZEhD3xmh1Ouzc1EKpFChA6rJxKKKWG51bgElLN1MkDFIsGVHsuupBoLRPlI6SmZA4cbuzMVzd1lyEIfey66L4enAPB7TrdZFc5bbKwd+TJe1bum6dKDE88EyNB18o3IIqlwbla6P3YAD/2qRyTbPGuvv9p5OTbwL20k/KZfuyhdYUFMVipClVORXGOONR0s+474aYN93e49yXNZHJVRXjpMNEKPqUrr8RJcqyPtl8bfIpZGE8yelICRvW5it0qdAnpRMnpTR0MsNinJJmBoElziS9WCNsMa/djaXz5GuHmoJrV+vHYLJiuhbsnIZQjPPocxM0qh0u2+FTqUn0XTdtW921of+VHQ39HaONLhsm+sRZl1MLXXwvxVpD1YfdmyS9yCcz7pkfTH5SBq0TtEpZblsOn4dmT/DkCwGzyz7Kk1jh40vNprpGa+mWoLw5Qcgi0bG5zmmHgJJ2LfdeD+68mDOUDod8W8t1UVylDtwqQfkpjz3n859+e4TM6lw5cVXLQfQuTFXlhuIB2C8B9HVRfK26colQvq7YsxbcIh9mWqYnDJLOb9acbMRQPkwzja8yfuoHWxw5r3n0WYXxZR7FXWtcXPBxM6QfIu+4GWSY5puDvCjjuwjuktb1SWN5xEc1FEyOWW6/aRnfX0WrCN/PmFmSPPViSLfncXg2YHXV2SSEUm6/IJ0LHwLIDFGSsndzl1qQgQWpFd3I5/NP+UyOKqZGG7xVj37l6n1bV/UDD3x0Tgr5s1GSfsfJpTbhbMLLxyWvnJpESEmSGsbqPX76I/Pce0PbAQLoR5ZW22Biy9ef1yy2JMcvBDy6v0bf+JydrRLFvvMIBILtE3DLFZbNU1CtCALPIrTIm5XzaC5sKbG8hCS4LnKX6ZEuFXSK5FLLYhu8dI16cm5R8qufrXP6QjCkJmJt9PZKEfxb+k9KFGU46n7dsQ7flnW8mxL/ptCMC7mwRE9K0XwA9JJ8KGURxY0rACWaXZtjfvQ7Opw85XNmRZaSBolBEJHzcfI6xADIl5IMLxHJy9/fOpDL0h9K4crovi+phootU3DrVQFbp0PqVUsYRvSShAtvjMjIeGi/5vh5zWLb58HnqqTWY7Xt0e+p/CImvOHGJj/1vV0alZAkUUhpOXhG8eKxAKU8fD3B4WMv/+yhoy/N6ZeOVPC0YLEpOXTG0k+cd0EL5+QyqWD/2Ro/+d8Sfuz9C0yMpggpOXRK88xLVXqJxxOHqyx3Q6zwkcbD14p6VbBp3NLwDeMVw1QDBIYotsOh9HnYEqWlcm32XNa6SzSkHLmVeS0tyaO2VBlSpkNqolKyION3PzfCZx+uYUM14N2FcrImekteMxZivRV2mGiKdVH7Eii/5CEG5rVy2b6siQ/AXcwJWbftiZG5Lp4VUVwiM0UmNLJreN+9PV496fHzv6mJRQFyV2PPrKBvho/l8FOWhnh+S5Dn3hZT0Ez3eYu/KfNKpKfcFo0IODtboxtpRut9KkFM7f/f3n9HW3Jd173wb+9d8cSbQ+eE2AhNZIBIzEnMFCWbkiwrUCJtOTw9UZZlP+n5ybakYUm0/GTakhgkWjIzAYIZIAkiZyI0EbrRjc755hMr7P39savq1LndAHPS+2qMM27AxQ2nZ62z9lxzzRn0mR2L8L2ILa+JkbLPSrfLg8+s0E3ggcc8ntlnoyhHmjHvfmuHDaMz7D86jhEKJQyXbom5bGtKp6c4vmBtlqUUOOdu6hD4gv1HNAsLkmZVEfg2+ddzBK5raNZ79NMu//V/11hY8JG+y0LPZ2nFxwgX6Tv2/1GCigsVx9hseM9Q8Qz10E6gio3tUuUiB0u5ape03meq4mVw562ILE0qB/123nvbyi1Vytce9vnQF6v00swFXw4GO8O89xmALc3p7ccLHCTFaeV8+CuHK7kFzuo+PDeqt5LUUvXWAlM4iEmkMKRSZodORSo0QmukcPC9lF98TZv7Hvf4yqM2hxRdqGZIcOhjFxzOtLN5eiUvVW9hKUAhhNWDF49Bn1Ju1ZLE0OlJ3JZdUYsCu2Pa6sX4boLvWvrWc2NecUkMMuYlF/Zp9ToIP2VhSfDxr40Rr4zRCGq4rg00CDyo+IZaJeG5E4qji5kX/KN7fYSEfjdleixl8xqXSmjz2UNP06zHnLelRY8un7pzhP1zYxD6SMfBrwt8hc2Cl3Yv03dsNrzvGgJPEHqCaiAIfZuuoErKQrLqNwykQUT1UPUuxu6ng3vQlgxak7LOO7eB6PThP76/wXNHfMwqcItMMZjHFp5xY+cM/PdqYZEQksFW/WpQn4FLNpwB1GXx1bBGPO+9jZRZn559TuTVPGNURDbKlxoZOWyejfl3v7TMfe/xafUygj///YQg0YpudleKXPSdPh/Is3NT6SMtBm+1sNLZ4hUp+79TbT0sO32bfG0yh9koUfixQ9+xKXZ5FlKrY81PfS9hshFRqfZZnE+5+dY67b7H9nURI1VB4Al8T1AJFBtnBRsmItZPRWDAOWfzFNo4BGqJNY0jjDW7hSF84Mc0qm3mWi0+dU+V3XPjOM0KoasIswz4QNrI7Dw628u8t/1sNzPwLLh9zwauWlP6XNeR57uUVYLDE0vn2wb3gCmx6byl1sRJiFP4i0/VePSZwHLeQ4+89x5U73y4s1pbMwD66bqTIf679PFQ3V5VDM2q9/NDZv6JAScuhm6AYsqZV3Jp899TbdOgRd6Pp9q2Klqz45yYd79lmfd+rEmUZo1hNuU0UhAbmfmlZoCWWNfU1SA3DH1c1rZY006T0Zj5WN66wSaJsWabkUBKae+hbFUtimUW06hwHafkzZ7SixJcx6fX91kz2uGtL13kY3e7PHigxmggCfIwMSfhmwfg+kvH2LimSq+f4rz21S8hDOvsfvYR7rl7J1p4rHT6CJENdRzDzfdMcvB4HVe6jPmGQGkbK52B28mAXc6Dt8vH9hH4NirbcXLVF4WWxVGn04ADT5PnAXc5hbcEbqfcksg047wTnCDhqw/4fPBTNZa7rt2OFjlzYpkETxpLSRXALi9aDCQEz7fYcBqSzzifH3zNUHtSqtqZRK/ErNgJ41DEhxBoaYYPm3k/Lgxa5G1KFkqlDSLRNIKIX35rh0ee9LntfgcqSUbv5eMel0hK0AxuVWlOB/nQq9PgY1nqx6W20808BSRJdeFArKLs+xs5MG/1JH6siItUaV3yaLeDul7kEXge735Tn5+65jifuXfZMi2u/QVWWhVabcOOy67jwvN20G63cJI0wBifVrvKs/tH2XnQ5ZnDCb4HjpQ40kZcz9TAEXkuDAPfv8yi2M3i+jxFFs+XR2Tbft73sqhsZ9hSbbAsbG+m4XZjePw+GMmnJUalXLkzUGcHTCUTpJvwzH6H932izp451/7iReVWtnpL8ErDhoHt2cCh6XmFVas58HJfXn4NL3cmZXSvKuOnKwtLh01WtSslvUqxu5nz4joDel7JhWVVtowmvOttLfYfd3j2SIBxiiN+Rh+6RAW8SyDPuHErsirGPfZ1KhNWSQFkixW5L0sq7KRRSYNKNVEskEIWP0EbRZpqm/LgCqI0i3lMTOZ0oAYrh0rT6fpIWaUZan7lVUkhmgv8mN0HHe5/vMpULaAWBCiT4GyYtlOvxTURoyNdJpYUo4GL72QHBWMtvJLU3mmGbHyaR2dnwB7kwdtNereUAW9z4GWRJuzmdliiNwAAU4JJREFU6WYlz8B8zWxgxjOo3Dng83ZliC3JD5P515RaEy+IOb4s+I/vb3Dz7RXbd6sBa4K0Z4Jcc2Ijw1fJYhmWxp4R6JwB6Gcs5KuqerlHNc8H7uExfa7BHkw4ZXYIXV3FDamQCG0dnlKhEKnGlZZVWe4Jfvu9ihNLEvw447ztH2iMQ18P7k6T/WImf3WReRu1aqwvBn+zSAevejLJi4UuNXGyFKIgSVJDnAq8RGaWESYL7R24IkhpBuK9xNppYKyexfMSkrTHfKvN/uMp/oik2wFnqaWQTnB8fkndOjU68YrJeo92V7Hclhht79h+ZFhqJXT7mlRTDGrcctBqOU1Yiex0K4sqnufAu26eQ5mBepVHd/luLbcnZTqwiJdW6TBzovLWxB4qIzSfu7fKVx8Kh7UmpZG8kx8sM95blnrv8mLx0N4lw0vTA557gPDV7EreBBQWu2fowQct7oBt0qU+3ALatitSZwaZ2m61p1pkPXAGcGljS8qtihaGNDEoR/Pyy/u87uoOf/clRZRgn4RyuyItyA1kP8d60nIGUZYpvQ+DKp4Pxuzzpm3lzvlE8iWObLvezVoVx2QYMlns4zDAUy3odF0WViS9SED2nLQ6MYttwfTkGFNjzq3TE97x1opC/dl7/4K3vOGipWpgliabrX90am4/B096NCshs5MOM+OSDTMpURxxctEuPHieIMh7bM9W5/zheRLfVbZqe3mLQvYw+EVUtsmCVgeJwgM7tYFf97A55mrDnnTQiw8dKmO01NxyV8j/81cN9h3zs3F8tqmjrIeIkgJfWgbIy8zslcoGPKrkf1Js8efCKzHwRxzaJ1xt9SyGJnkDE9GMPSrvHeYC/9XrcKL8CmJWtU8lHU9JAGaHlauj/fIbz6YljNVTzt0ac+ik4tmDDtqsvivtN9KIbJiZr0SIIWak7Pkusv9W/h75jS/KPVtZKmxAI4rtpTzepHib5vob20a5yrD7iODRXbC0rFnp2H+bydEV9p1YQYbbCMLm//HNZ5594GXX32gzenY+K/A82L/fZ/eeEcaaIRtnNeumEtZOtnnmcJdnjgXEiUMlsMyIzX0fVO4irq8IXBVZktkgSdhmUg5kt4Oo7BKw8youT6f/lLCVW8rycGf4YGllsCn75iQfvKnKrr0+VAdVu0wLugLrVFXy+S4vMwwtP8MZqcGicAtb22wA65k7kjNdZdu0XBee18SCMTFk7lLlFTZrnZZXdK0lQpjMiEfYgY+wacQ6b1GELt7Gfc05mxN+8Y0tHtrpsf+UHPxBgy4CoxWxkdYEH4FvssSH4vczhYd4YRyU/2EljxX7KT1gg0yeu5O5BDhWWegoSyU6jsCJB4EFnmu/Ry1MOGvDAnc95fLcrirrxgRruxLPqXD+esH6DbB2OiGKrY7KAbh0x8U4bsjsuGTL5D7GGi1G6hFStbntEc3nH6xy7LjPlnFL/4W+rcx59ntuRl9ONrNsSqklybPgT6vcaal6p4PdyZKISmaHyty6S4rsY6mtWU/RusQ4TsJCS/Dnf1fnjkczy2OhBg85oAX9rD05bRwvV/Xd5fYkoweHOPHVWF6Fk299ZaAu8eLaZBvsDOhBbTKjndIIX5YOnLLEsgiRtyomow4NWqjsrUYLTdLR3LCjz2+8Y4U/+IBksTsAdqFDEQYjHZLMfzuVWcaOsaInNwd7Li9QpcPwYKGtJEHIA7ByB688pU+SpjmOrH2Eky3cuI5NfBACerFk6yy88/XzfPHBFl95cISDiz7PHIGRqsc/2riRtesvpt3uDgC+ZeM01cb0bZ/92lf/6Bs7g98+dmqeVCcYEXDgWEhVuWwYFTSrgnpFZQCXp5lqqpxdcQapZsPgziu2ySKySwBXeVuSnkYBWp25HoA6A7uUZfbEnqZ7wvA/b6rx/k/VaKVOiTVxC85brhroFNVbDvfeZfu4oRF9IZUdpIkN+oP8JbnMQ7ww1M1QBR+osE2p/zbafv8c3FKbjC60oJbCVu2iipdYFiHyoZBEGCvIsm6zhpob86tvbXFiXvHf/q5Ot/y7FssrBoRCC0lkJImAyAg8bXU7voRE2j0Wz9hMVE+WpQYlmjNngzSZZkbgppA6JgO47QKK9i8jL6LYtivg4sgR1o4r3vW6FV5z+XGUSoj6DsvtKer+kT9av/Gnb3tu/7EBwGvNGf72b97T2TQm9h2owYNP1IhSa4e8oSEYrUKzKqhVFJXQIfCygc0ZrNbsoTOL68tDn4qDZV6509NzKYvgJ10sJxSgFgNQi6GP0xLIE3A0Tz3r8ZHbKqzEmRvoUPW2+4mqADinb8q/gGtV2chneIK5KkBL5LAVL4jt1e1J8bnVLMpQq5JThtlbbX0AtRFW6FSiDkV24JRCo4WwrEq2Rpx/Pok1tSDhZ1/e5tb7PR7bLexZswhJzmiK7Dk0wvqtaCOJBfSNINIGXwk8Yw+BXuFBaIYOxkMiMifPWhVoZ5C85mhDkohC35OfaXqOoB8J4sQhiiXtrmKsUWG22aUa9un04MH5gMcfXdh3385/3/mDf/cHA4ADXHPN2wn8ELyvcuT4gywv1RmtKuoVSRhIKr4iCCShbyeUjrK0UB4nmB90ilSzofx3Y6t1Du4c2K4Ft+vmLUlStCf5RDK3zC1oJpEBvAB7Vr09zRN7fN79RyPsfNbHuHIA6gLkZVpwUL3VGaq3KFXv1cOdXJd8Ji580HTkVfxbVO8yuGEAXDOMsYF3+KBNGbQmZJU6b09KVT2jEoWxWTqpMAhjufK8kovIcOG2mP/+20v86n8S7NwjwM3uKKGzR1o8h3b9zQI91ZJYSHoaAmllG7EBT2cxI3natWOKlkQ7oggStuDOwhIcW6XzTZ38eQBrCei5knZPstKRLK74nFx0qVdDxhp9Dp88hd/Yxi/8zCvpRx1OA3gQTNKohRw6OcaJhQrnrfWZHFE2wjvLdw88CP0Uz7VASFLox3Z/E2z1y8HtZodJV5X6bTfNPl/KoTwtti8ptR0ZkEUZ4Dl7oLNHinINLa34HzdXeOxJn9Qpg7qsFswOljljUhwqz9R7n6FVKVXvoY/LwF495Pl2LjOo3JgByHNgawPCmNJB02SABpGJsYTI2xKJzCujsEMVnT9ngBTSjvaFtAdQoxFaolLNjvP6/Pob2/yb97q0EmPRYXKQSwvyXECEKJ5jLRSRViRS0tcZM6Vsy+JLUxyMB0A3pKtoT5NFBVqz1ozvTgxRbGcwNs/HsnaBZylo14XAU0yPBayZ9Fm/pcrk+ARJ3C6e2gLgsXaItLdnvFHZ++ILG1u2b+gwNabpRQ7LLQ8pDKGvqYQJ1SCh4ie0ui4HjldIUvuyl+fflJeTPVfjuUnRbxfgdpMM2DauT2V58K6TWB23k+C4FsR5jUsTijE2GeilA+1U8MGbq3ziqxX6KqsyYrhyI0TRmhS891DVPnPvvZo1kUWlFkNAtsD/jk+Xq3FeMsWhGKwM/feyLkVbmk6LQRWX+cdiQLuR9ea2P5ekWS8udHbwxCBSgy8S3vbSLk8fcPjgTVXaMVkyVfYSnZsSJhkXORB8g1Jo4dB3XGKp6GtBX0tCaUiMIdGDqp5qg6czUGfVfPBKpnGyJ7AXGw6chFYPKh7UA03F1wSevbmXulbePVYXXHXBOBvOau4daTp7et3BunQB8M0b1/KRz3z51kp95O8nZ5r/LqzuY6UnEbpGJVRUg4SxRp/xZps47fLNA5LFpRrLyyFSWI5bKVOA2/dspfaLnjvJ3qa4TmwBnsVkOyomDGIcL0InKaDZf0Ly2B4HIyTGGBpVwzXbY0Lf4HgGE9vndyWSfPBzFf7TX9c5uejYU49cDW5bve1Qx5TEVKeb2A8UjaVJJgyWdId6b4ptndV2EeWKXh7ZmxJah1y+SuP78mRzQBGWgJ21KvYMKIaquO3Frcaj+D113nNbBkUWFXxw8BRZHuf0eMrv/vIKGPjQZyu0omzRIBYoD0Jf8+JLY+oVnc2tJI8+63LghEuKg+55aNej7zvE2qEnJT0tqChB6BiSrJKnOu/RbeXO//Z84dj3JL4PJuiy0O7y9H6fZMFnug4TNU3oC5SnCcM+JzsJlfoGKmHl75/e+fVbL7r0TacDHMCTPtKpfWG62X39HY9VLz50LGT7Rp8dZxmmxzpUK4s8srfPVx8NuP+bTcb8gAs2wuykHeY4WTsSeBrfSzOAJ/huBvBcCunGuE6M58RUwwjHj9h/1HB4XvC1B0OOnnTZe8zhgW96xcv1SDXlpZf12DCb8OaX9ti+KUEFhs/cFvKf/7rG8QVlwS3ytaxyFRfDB8tVTlXlIKnT2o/8/VL7MnSYFEP4HQA7B3fp/fy/D/XdxfulzMziblilJCwxKoWrlMEOSXI9dtaLp3ZZcqia235dZjdH3spI27ZgA3x1ZJgZSfndX2kxvyL5+5tDZGjYvtU+7xtmEl52WUSzZvUpxsD9T7rsPao4ckpx+4MhR+Z99h8O0Z5P3/eIHZd+KulrqKaQOJA4JjtYDrJURQZuK9RTzE5JXretQ6PW4r6nl7jt0Qo7nx0hThVbp2DHZo9ztxgOzQkW2+qxamXkC2mrM/SqOATwt/zUDfzpn/zbe4QQD1fUyMUv2irYOCPYvGaJSjjHB74In7pzgk6vymxNMjZqaUIhbHviZVPKwE8IvBTfs6D23Tir4AmuY7MnK0EfRMTXHlV8Y6/PnY8GHDocsOuYT7fjZiPEHAUpi+2ED9zs4wUxt90d8NqXdNlxdsJHvxhw7IQDYcHVUWysZCg8vXqvaklkmQc3ZwDzsOy12OQpA3n18Oe7aE/Kp80z3QRlnbjIGJXifW2dprQQ2QIxq6hCy6zknLit4lk1z6u4kQiTQgIzkyk/8+ouc4uCHeckvO7GHldui/A80IkiTV1Mtp/7yktBOgntbsxPv7THgaOSu78R8PDekK99o46OQrqeR2Qs0KvaUMn576yS5yMhJW0+vTaWG19arjFagzddtcirLlvi43d1+MDnpthzIqASGvp9j4kxn7AiHv7EZ2+951//q99/foADXHHxZqSS3P3QE/iqx/lbIk4sz/PF2x0+8pVxGsrj7EmYHoGJEYdGVVEJbH8e+ilhkFLxbQS479m3nmurtedGBEGfxEQ88DT83a0VvvRAlVOLIa3YxxjPUnsNNah2ADoBHYHbJ0oMdz0i6MWGZrXLwopk2NI1R5sEMubkDNW7DGhZquarWZTTbZLLB0nB6W23GG5LvgOAD4mtGLQlOXOSg1lkVVxnVGYx3DESoXUhWS0YFZG3LVmbogVayqyaa6QpWcRmrxwYGKkbNq1Leesre1y+vY9uCfodjzj1SRKXNFUDPyxhY0XOWZdw3tqYl+zocHK5w5fub/G/bq3z6K4anW6FtufR1w49LailUM36cp3d4VIIHMfg9VOWWpIjpxyStMZK22XddMAvvmwRT57gyw+N8M2DNerVHrWxJlJtobQh/fwAP2v7K5DKiQ4eWUYlj/PNgy3+/FMjrLRC1tUlM03DWF0y0nAYa7iM1KFRTalVEqphTDWICYMI34sJPAtq343wvIgg6PHMAcOffbzC3Y9W2X+sQo8AHB8ROLhK4gprhatyzwsj6GtFnCiM0WBiNqzv8xv/uM1bXtFnpGE4dNxh3wll+b9yBc/MONTzVO8X7L1XVe+BsGp499L+44pVlLf4zvCdA3fV58qq2hzcq6u40AKRMRUiTxnO0ocLRqU0vtdCI4TEaJ1ZIFuQ28ljFg/owHNHFf/jIxVuuT2g05H8wbsT1o9CkrpEkU8/9kkShTEyU5jaiD/V0ziOfdVeOxbxT17b58bL+tz16Ap/8rEmu/bXiL2AldSn79jDaF0btNbF2p4tJGnWHbjWBiMRdPuKqTGfN17Z4oaLF/nzTyYcOlXh/HPX8+Y3viRKkoT/859/C4ALd5Jqo/KeTVsmzvt//5e64bmDY4w4HtMTUAtgpK5o1h1GaoqRuqFZS2nWEuqViGoYUwkiAj97uH08r48REV2dcMvtHh/8bJ2vP9IgdgLwfJRy8JQgVHYi5kldeAGCHQD0UsG8cOglLuunEv7wny3xlpd08F14+WU9PrMjYP9X3OzQVgI5mUUFDNxphyqzGQb3KhZlNXX4fDLZooJ/L5X7DI/BwKfsdjWgDW3vTWG/ljM59rBpwa+FzA6X2WG0BPqcQ7fgltnNam+e+x71uO2hgFbk8NEvVUkS+M/vWmGiruhFAZ2e1SblXjmy0OtbyrefbeF4bsSmiYjNr+mzcfYUH/psh1vvr9NNQtpJSOT4dFNJPVU0tM548zyvPiFNDUni0I8U3b6k3XWoV0I8N+ZXXt1mqdclrUx9ff26te8hbX3rCj41UeUv/+7zKzC2y9FT196wvaNqlYSdewTNmstY02G0LmjWNM1aSqMaUavEVIM+lbBPrdIn8Po4Tp84idl7RPNXtwTsPd7kjsdrdOMQHdr1fl9JKspk6292tO9K6yiVA8tgiDJFmRxP+H9+dZE33xAhY5c41kyNpbzxxg53P+JzaMGxfcigtFoWq1S9C5/BfD2upBhc3XsPMjsH1bzQnZRQftrh8jvD+BlRP1hdK9u4rQa6Kar6cF9unXwFgjTTpQhpijhuaz8hiwcmLTh3pQyH5hU33x5y8pQLFUWE5JNf81BS8Xv/NEESsLRSsa+q2cLDsGVeUqydxYlLFHu4bsS150dceU6bux7vsve4y/+8pcHB4zW6vZATkUcrUjR96CWafmKIUkOUJPQjQ69vKesocYgSwRN7BBXP57IL/PTKHdVdx/ffsjKz6Q3fGuBgdbnKdN/98iubl4fO8R0Hj/cRcpKZCZfpMcNIPaZRjRmpRbYHCntUKz08p0erH7PvZMrO3ZKHdwV86u4ah06EIALwPaTvUCmArQmU3eH0lCk2g9wi1NUCD+wh9mXXtHj9VZJ+u44UGkfFiG7Em6/p8TefjTl0n19Cmt0ayfXeqtSWnL5QbAp6atCLi6He+4W2eE4b+HyXdHgx7BGCvEfJ938LERZk2+uWWivJqxFk22VZi6RFWZOSje21xEg9tA1kFYwDucHOXS6fvju0TrvKB+kRC8Wn76yxbcMir3xRlbnFKmSFIg8fsLILjVPsVOZAd3AThzj28NyYl18WIWWfn7rqBDfdvcxDuwKe2FXl6EKFY8sBp5RLM5A0OzASGka6Ka2uptVNiWOPZlXTTlrsPiQR3tQTW8/uvnt2qnLG5/SMAH/3L7yGu+/4+zSOZ81Hb3kWh1GuugC2rGkz1oyphjG1sI+hh+t2afcTHt4JvcTw9UcqPPR0wJ6DAUttDwIXEToopfCkJFSGitL4yuBnwPYygZbd4rCLFFZqa3c7A09y7kbBxRtGOHnSJQz6+F4f37WVyXM1FT/NmtRBHRX5wVIMj+Rzt6pyWvHpyW7D4/rV08zTru+5bDN0sB56mIwWzNsSWWpRcgNAPeC880NmUb2FHdHnU818tc1WcDE4YGbny3ZfEiUuOB6oEOl4VB1J04OduxxCKtSrLqGfafszSYbnKDu8czWesnu4iZOQOIrEUcROQpy49GMPR8VMNmJ+4y0xS50V9h5s8cDTLl//RoVW7PLEvionuwErscPRRYeqbwc9Y3N9Flou52wMuXhLi3BsnXn4aZP+k0vfcMbn1Hm+J3vzWdfR7/U+eu7mfWcn0dFqs9kG1ebUSsxiNyYMEm5/3OXoKZ/jyzVufahGikMUOZBKpCfwRyQqOzT60hBIC2xPZcB2bMXOF5Y9x4bIus5gmSL0JbWKw8yEoOrXmF+GkWwrxioAbfTfKy6P+PrDhvn+oMyKVRW7vExcxBKW3EwHPffpIUhlYx+GNuq/D8iGIVpw8EnIw2/ySl4cMrXIJkAStLbnai0G7A72d06zVyP7vtV55N6GJgO5NrJ44ZhvC2570AejQLoI5VF1FBO+ZrKq6bU9njsimB4T1KuSSiAIPGP3bfPtrVSTOJIkTe1mV5ripgo3dYiTBMdxUNKlF2lWOratOW9DytnrDG+7vg90uO3hDieXJYfmXO58rErgKzwpSLVivuuw96hg26Yt7dddd/VHgyB43uf1eQG+Zna9efzhT/75jgs3vfsvP7KvGqcB68cVxpnnwad9lrtjHFkI6HdcPFcy4tsaJILBBE4YC0InM6t35aAN8YpqzaBaZ0sUvkumOVBUQkW9Kgk8nUXIOUSxi+8mpFlcnpGCKy+IaYSa+V5GEYoBe+LkSw2FqWfp0FlyLrXV/fQwraEENYbblEHZFd+XKl4GdxnQxS6mGPQspjDJlBQrCLY3IWVwU+aVfFC9rcVEYQWXsScI6yt5/04vy992UNmrbpiJ55SEfpSy0paAQ5pKksSQ+IIk1SSpfes5mtS1IE8caR+uxFUKleRiOisfAFhYsa8i+fHphgtTfC+i3U94+3ULtKI+9+9sQDrFmgnox13Csa1zX7/vqT//+be/3jzf0+i80HMcNHbQUEu8aNuTCN1n24aIJ48qDp0cJe0HbGhqKuPWu8RkyrEkgSiFWNtdOxhorR056LFzcA82f2zVdl1h1988K/SqhJJKYI2EVCbCsStNmeFkxuHGcabdyKt31n+v5ryLdkWuogplvmr2AuAuD3NeCMzZ1MLw7WNevMD9MZRpo7OijU1l0KeBfIDzNNuBTPNpprTaFJk9f1JLlBZFklsOMNfNf6HBDEFlYq3UQBQbuv00c4yVxaE2TRVJqm16g5sF12pBqq1fi93cyXX9qvCl1NouEUepJIkVSTrwpQ/9hMnRHo10heNzDrv2uWydUYyPjfKzLzmPRqPxgs/rCwJ8YnJd36Hz6y++dObjc/MPVO950uHxXU3WNT3GqpqKb9VfQlhrgF6k6fahExn6sSDO0qfyVsEpHyQzUA9XbmvS6Lm2ege+IPQh8KwEwMk8x4fSgDNYOCrXg9gKnisHV3tMP/9DDPtQy+HF4jKz8v0s1OK0d8788UA+O2BPMjlhacO9BPLixrHPhxRk6cNZFdfatilGDip5trmfZgkc+RQ4Xxw2WAovTgz9KFtGkQCykBOkWex4mi0zpNle5eB9u7ElMy0MCJJU0o8UnZ5Dp+fQ7UuSNDtDOZrDJ6qMNqpcd2GXerjI3Y+7XDa6rd3qOr++bdts/7sGeLdzSk9Mb3hwqfOS5U9/em817sOIr1i3QVAJ7eHPUfYP68eG5VbCwkqCpbZsdLRhUMFdSXGIdMttyZCPisT3Fb4nCDyyJWWrUszjSqTIz/32fbThoac8lnu5uEquGu6Yws/FvpIMWBO7TCyG6MIiBGmIMRmeUJ4O8tJqFmfop78bkA99RVbt8uGOIHues2XgfMXNWJDnjIpIJQLrOyKzPU2pLZtStCmlrJ9GAJeeF/PIHlNoYXT2cy1ALcCjON90t0/KQK9ejj3Ms3lKHi6OfZvH3hggiiWdnsviisP8ssNSC/qR3eF3HEXgOVQDl1qlwsaJmA0v07z0VdctT06tf3B+YUHzAtcLAjysTlGvO6c8Fb3t596w/fa9u77hzi03B9vxniHwU5Q0tNqSfUcd+rGh3S0DMI+eIGNLzgTubMfTtRv5visIXOuPaEOvBlv4eWyglLk2XGOM4fP3Bcx37A8RQhb2x0XvLfI+u5yaPAzu/ONhPnxwoBxUxdOfq4Lhy0RRhT3Eqs2cIc68xO8NUY55KnD5+5sByE32qmiy9klqU7AsymRnEKOHfpAQApHKzHrBoDLTzrQAtyJNFSNVeM3Vff7qcxqMtpoQTSGMilOIU4gSg4p1cRC3f4Mc/K7F3y2LzcxiDxm7gKwURQ+epIJ2T3FsTnPweESrazJVoSgOsIErODgH1734inixxdu2bmueajTOTA9+WwAfa7rs2/ccs2s2HT65EO/df+rAOWevXWZyNKYaGKphhCYiTmMeftpnqTNJLZQcW4CVnijcr5Rc1W8XFVsU3imuk1tOZJXbszeQBXfJDCjf08y2fZTSdCNBPx4sFQuZBUhlh9t8e8cpWT9kEubS50UB/HKK8wuJp0w2biwS0oZxPfRx8UmGv+/g4GqK/r58kC0jPbclzqecljExxUBKy7KORRYkuUizFkXo7KVfkkqN0gKdSlI1iAbXWhE4moof09Ep2hhiI0i0sAlnWZBUVDx/uaFP/jojS0vHmWFRyYqu+JszW0BHWeXpSkey0vEZrUfMtRd4/LBHHLsIragFgloQMVKFqy+u88prz9o7u27T4WNHDzG7Zv0LAlzyrS6huO3rD+9vdfjVc87ZyrNHl5hvt1g/e5LF/hwfvyvi9/62xufuCun24KKzEzZu7HC0bcXokIMoq9xlcJecr3Jw+y542SvEYHGiZDFRCniVUhOEMbc+4vDkXh+wXoOOsHYQbqkyO4XB5wDojsw2uJXIfBIptrpt2G0WQpp5mogzoH3YgcoM1qzMt9+mfKthUvn+sGtf9pForOVZIogz5zELRJF9Xpbez3rhVGathszeL73VilQ7bN+S8qpLetBNSY0m0vb7xxriNHs/gTi26WZRooliTRSlRLGmH0E/hl4kiGLox4IolsUjSbJFDGPwvYTx5hLPHF3h0T0xYaB47dUu//6ftHnrS04SNpbZPZdSG4lZN7PM+o3bcGT0q88+dcd+x/nW8HW+1Rds2riBlVaHWjU8+sWvmjt7Tz55XRKd5KuPKf7mCyPMzVVZMyJZP+NwzkbF2evbdMwSn3tI0okrNIJBlczbkoHb1XDlttZuw+DOH7m1hOMMHK1cJyHVKU88F7Kw4tnYC6mspkWZIsgoB3e+xaOyTW1H5SDOQF5mUlZheXWAbQ5egXV8koghsOtixYzSV74wsFebfMpSq1JUxRzgq14apLa/t5GWwi5+R5EfPGXGlYNMDak0JKlEqaw9yVqUJFWM1AUXbO5x890ROk2IlBVFBakgTm0MoJPF+xWBuJRGqsZkrYllZgZejJaQUMrgZPlNgZfSTzvsOizZczhmJHDRZowta2q88coWV5/X4kNfTkh6VTavnebyF51z5+azrjsaRR18v/q9AxygXquw8/H7nt22rvHn6uqzr7v51qM8uX+cqvLZuk0yOaqYHpdsmo2YHm/R3ZXS7ihqlYHFW04FWs/CwYHS9t1nAnc+JTvz9r2jUkI/5tkDgtsfCGhFHgQOjhT42c6lI3Ojz1J7MnSoFMWri6NAqoE7lZADtkSbjKfIvDnKKb1Ffy4HxLUwFIDPwXkauFnVc4uSmlFSpD0PfgeL0+Kwp7PFBwZ8t5ID62Kjyj9L2kXt1L4SJUJmZxFbvRMpUakiVZI4dqhWFTde2ecTd3V56mCF2PHopZIwFXiZh6CTGlQy8FG3P8eQG7zZv1mWejRRnGmUlDjK3mBxIhmrCYIg4eiiZv/xGAMsLntMjY0xM17jn758hYd2damOvZhONP7nDz700LNXXH75twPdbw/gAGF9A41G40FxuHVTGC6/afP4Ibasc6iGknrVMDnSZ8uaZZSzyGP7aujEo+5rgsxw03LbIjPhlHieKlqVMrgHj9xyogTwDNx21S3GUTFfftDlwWcqoFyEcggk+Jm1sytOb03ytqSo4GV3rqKSi+JwacgSeikvy9rP5YdGKXLI2rWxYTeqoqgxdJrMP8yrdXZYG2SCUuRxGoDUDnmMEaRZO5LmAM9uFEdlrlOG03vebGSf30iJlDbjPrOtTlMbXJWkDnHictnZXV5+eZun9tfRqUdPefRTgZeDO81+12Rwg4p8OTk74Fqgy0EVZ0BZSmlwHUW75zIpAi7e1OOmO3rsPlZF64iVjuL4vGLvIY91UyNcddE6zjr/nJs2bl33YL+98u3C9tsH+NbNazhy+Mj+l91w1b88dmin6q49/Ppq0GGkqgiDlKmRNn4wx/s+53PXY2OsH4FGCBV/YIDvuyrzK8wfdorpeQPXK881mb2b3eX0VG41Yau369jlZM+N6fRTdu6r0u4GUPWs1bO0pjNF9S6AnWWenwHcuQVdDm6lhnvuVGuI7QHNhplqdDoAj5TC6tczDYgUJQVgqZIPVe9Svz0kzc1CT50sviXnilNhCu1InAj6MQXA8/8/1dkNrAc5OfnPy2podoCWpTxS26aoVNkqrh3iyKVZ73PBpogw6NJNPPrKoaskfmqNepxkEGBgn6s8AFgXVGWxpWQGQeGDu9omNDvK49hcg+suSPm115/if9wi2XU8ZLabEvoptYqhFYVMrRu95WVbrvqXx44dPzA7u+77D3CANWvX8OzTXz9w/Yu37/zq7cdef/zUHs7ZoKlXNJ63wH/7jMvffXma8dBhpmloVESmVZBF5XZzU04HPM/qUPyyvZtrMuerzLPQzYGdeahka29B2OeOnYp7Hq+C4yGUgy8FvtK2epc8WpxSG5IfJleD23UGrkqOkgWrknu/CCHo9TVRYuhHlLxgQJXoEkG2Bylz+7WcHy+IxKH2pPAgL8l3HWnsWSOrrkKQuTpBuyfpRtDtm2zR2A6flBI4GlKVMRdnmKPKrIoXWnhp24UkkbZtSG3efSwdotjj2gsjrtzW4fYnQrTr0U09Ailwk8FMIfdytK94+V9pN57Le6Q6A3nO8AwbawpmpOHnXjYPnOAvbpomng9oVFKuXNPn7G3rWL/lop133nvfgRtefPV3AtnvDOAAk1NTNEbX/tGL5nZvue2OlZ/Zf3SeszYs877Pe/zvr84wU3VYO2oYqUmqoQVzDhrXGbjNrq7chZdKbhLkDOyUiziLLI/T9yOW2ppPfq3GUwcr4NvqHWTV2y1XbcUwsHMPRSky+2eR+VBnxutKWgbFGfTtUkAtlMwvC+aWB8Aqvq8UdsqSgS2n62DArqy2TT4TJZgHblmfdFOykraVvKolKx3D3KKNd7QtjSgMT1NlvfwG7cAA5PnitBC5w63tw22LYnvxOKviKnXo9T3OXhfz5pe0eWxPhYXIoy8dOlLiS4GT5gA3tk3JfkbusWiXofNBUv4cKDsp1TbGuxdJun1BLwsHTlLJP37JHEKe4EOfX8O6CcmGdZNQO+ujl79o+x/tOXDkO4Xrdw7w5th5nNj/iaWLL1j/S7uf3b12acm/9v5nFB//6igbGw6zI4bxht36qQTWojjJdECFT3gxodSFe6iTu4iW/Apz56viYJlVbyUjHnxScesDdRABwnEzVyWbG+SqksOWXN13l9qTHNTFQ2RuuCXjUNeGcY01I+rNJR4/FNJZcamHBt+xkl+czHhHG9sDZzSekQPm4zRwl4CtSkKwPMIlfwXz3RTfTamGEcvdPg/u8jh4pM54nVISnsDVBu3kCww5Xz4AuRTWzmRg4WxBbm8qhUxsS5RIhZJW0BZ4Hq+8vM9n72tz28MBOvXoSo9AWYCX0+gsjz8wy9eZyY+bOZ8V/DwKYwR9IE1tgVjpKHr9gChW9CPF268/xWN7eoSmxly7dtdYY8sv/de/v7PzW7/4ih88wAGmNr6Ng/sf7lx59RujWz5/E7fen3LpJo+GD5VQMTHqMTUqmBqNWW4LDp90MIgi7i3wNUEGntzN38mTHtTAtzC3UnYLcCcEfp9nj2v+7/ePsWt/FWoenrQLFL7K5AClt46yvveOFKdXcSVtblAOEsea9OdTWt+zy9T1Ssz66RbTU3N84ItjHGuNQiYwyycuUlgDSqkp2hP7jzo8wi8wLlY/sglr/lw4FtyBl1AJIiZG2qzELe7bPUnaE0iRUg0g9AT+KhDlakp7ABYl6rEE7syEdBCZrlCpJk4VMnVwkpROz2Pr+ojf++VlDh0Jeeq4R6QcuqksmCol7Ua/SO1fmIvhEm2Klik1OvNTNNkNrQDD0bmIVscw0VR0ew5R4rHcdjhyyuN1ly6z91iNl7/qdZEUsnPtFd85uL9rgAOs27AVrfUDazZccvXlC7eHwgieOypoVBw2TMOWtS2QS+w/4TG3NMJo3cVzhXXHCgyBl+K62TZIKQ/zNMN7ldOC9mCJiLnjYY9Hn6tC4COlQ6iM3QzKqrc7FHJlM8/zwU3xyCu4slKB1eAOfE3oa6pBQqMaUQkiVJowUW3zRNJgpa9wRGr73zxAqww0zRAvXkb34Lg1yADKK7iTJcvlFne+lxAGEZ7XZaETsRwpdF+w0i2N7rGj7+HvLwf2FkIM9d1SZrShFKgkP3QaZKKK7KNYOkjl0u8FXLSpzfWXrbD3cyH9xKMrfUIpssO8KTagCoBLg0whUYJYGrzUFGcIJQUVXzHe1PR1i+dOGk4uV+jHBt9zESTs3OtQCUa48cZLups3bH5AiG890Hm+67v+P4UYIeoFv/vSa29472UXTfQS3eHYQp/RBpy3aZnl/hzv/RR84T6XfqRxldWWVENNrZJQqyZ2lzOMCf0E38ttlE0G+FI2T77+5EYcX9T8/ZfrdHshuB6BklQU2SLFANyuGlRtlfXcjhRD1dtVEse1PbeXG/VnMoHAszYYlcAGHAkRs3E24aVXtwndmFYM/WKCSJY1k5lL6oFl8LDhST5eL6sTB4fNIsJcDW50100I/JgkjbntXo+DRx1iAZ0IupFVcPbziWKsiZPskYmi4iSbOqbWWD5ORdbv5g9JnGXeJKkiThz7SJ1s2dfD81ze8fIO06NdSCISrelpQawhyXrqVNvnIU7tFLMbQbtnaPUMK12rT2r3NL3IkKQG35O85krDP//pJcJGi6cPxSytaGYnl0hNC1lZ19ux42XvnRwJfnfdTP2HD3CAsFrRt99x1++3oi1/PDo2G5291uOSc1ss9hf44Bd9Dh8ZYaoeMNpwqFWtvUSzljBa7zNa6zFS61GvRIS+tXUrhFR5GGxupZyFugoVcctdPvd+swahjysdqkX1zsRcatCaOKUDpspaFZUdyPIqPpDuZiB3NL6bP9LMuCgzCfVS6pUERUI/hUiLbAvcvs0HQNqUTOHhjIMeSq2JkAOzISnL6XNp8SomREqnC8SGWEMvFvRjSxdGsVX3xYkhjg1xokkSXdKOQJIIGySWvc1BHif5qN8OXeLEWnTEseXD48Sl1/G5cnvK669dwdN9dJrQ0/bvT7UY/M3GMiNRIuhEguWuZLEtWWwLljqGlbah1UlpdVPmlwUn5kfYONHkn766Q62xwiPP9nn6uRpr16yLLt2+4Y+f2nnv7wehr78jUK66vusWJb+Wu1HkepN/GNba0ezs0n+4c+eK3H2oRtqtcclWycSIYnJMMdFMGR+JLLjrXZr1Hp6b0Om5LK2EdHpu5n2S//ubrHfUmQNtzJFThr+9tY52QqTyqDiCiqMJcqtmZQbsh1p9sCzHrchB3EoB8JLlczlmJTMLVSpF5Py21iQmr165/dgA3GUtypkYlKFZjximDHM58KBts9svZJbRoOmn0E9FpgPJs0YHQyKbaqZL0l9hzwfFaN1uO8WJHPDviUGVWpVcsWlfST382OfnXtHh8/d0eG4hJNEuibFs9+DfzJ45Ei1Y6QtOdSTdvsFzBWMVmKhqEq0RIs58WxTL7TFmxiv8wstXePLgHCvRmL5s/cx/OG/bxJ+enFuMvld8fs8A//mffTvv//hnurWprTcdXnb/7/ueuJ9LtlWY2ma1DYEvmGimTI72mRhtMz22zEqvzU33SA6edLjh4h7bZqHd9YkTlYHaFFve9h85xXFjvnifz9N7ahg3IHAUNWUInIzNKG0JOWoQazgYxQub+6lkVsVLoqoSwN2Chx/4mBeG/OhiuGLMwJFpSKNyhr47//oyNT08qh/045bOM9b7XOZW0SazZrCj8ESbgQAq04c4KahsfF4McRI9OFAWaklh2ZTcJkMOFpNl/rNR2U3mZKxOSi9KOW/LCq++usVffqaOcQNSIwvprhQmWzqxIrCV2HDullO8dEeLAydcvvKNBrtOVVkf22QHrSPixGVhWfLUPpep0SZXnL3ItvPOMZXGzE1pcqp7zXU/873C83sHOIDyN3G0P7b7onOa7z5vjfu+QwfulAePO4xW62wYTZmZ6DAzvsLk6AJ3fjPlv3x8hIPHa+jY4dFnIt75Oo3v+CSpwHMsKlwnzXQWBtdNOXTC8D8+06ClQ5TvUHMMFccQZEEOnpO3KGKoRXFVWTE4yBJSasB1F7Ti6qxOZ6BcDL2EQ8fgc3f4LHQFTpi3ISVpbJ5gkIOa1e1JhvDSUI8yyLOhjqTUvgjbyzdCeN31fW56IOLYsqHvCeJcwppAomwyQiLtGD3JqMckyVs+MfBglNm4Xw6ktvmEk8JH3GS8uUFKFyVTap7HO1/f4Qv3dzkwXyX1ZOYnaJ//wM08vF3ByIThXa8XXLzFJUoj3vHSI/yXj9e57/FxOrFLPzGkOmHzGkW90eHgKcNZ59yoJ6a2vXt6bW03dL8l7n5oAP/FN1zE3PG90djU5e//iw/srfT1zJ81/GOEXsLsRJd103O0o2X+80cDvvLoFKdOVlnbhLGaYMz3eXy3y/SoIAw0tTBFKoOvc6cljeskzK0ITs6HCNen6ghqjiFwcy7aZLlAluortybl8bvK25OCF6cURKsHgbQ5RVmOCVeabt9w6pTM8iQptSFZFF6pZBtTKtff4hoa3RetWf5/2xZAKMPkRErVT9Gppq8lUVa9k+yAl6gsVTgVxWRUSqsctI+sVUny8X5WzUtalcH952TnBNeeC6Qm6vtMj8ZMNHrsO5mQGBeEwJEaz4FqIKj4kiCQTI46LC1O8+TemLFGjy1TK/zeP27xtQsO8aFbx9g7X0Mbwewk9Jc8zt0yyvoZ5zcn1177/scefy7dcfGLfnwADjA+vYWV5YPpr77jlXv2762vfPnWr9Y9tcyBhQ5feTLlI1+dZmG5zkxFsH3WMD0qmR7zWDstUDLl8EmHkboCA76r0YEEk7mNEvMXN9WY71bxfZemY6i4dtPbgry0KVRU7ZJ4Khu9KymHtN/FuLk8GFJ58OiAyVBFlIqhmN9TYHmoVA9V7RfaXxNDb4at34T9nwf6juw/ajIj0pREuxmLYdsUN7XsRCKFbVUkpFKQKruulipDkpaWqrVA5skkxc+UpRtUFL+XzJ2rnIBaGPHP3tTi1/80wugQyCu4oBJIxpoOzZri1FLCg09K1k0FzEx4LLV9ZicCfv5lS7zuqpN85Gstdh9scnLZZ+PaETacdf3KlvMv33Pw4PF0x8Vbvl+w/P4BHKBWD9m/39yybuMN/2zz+c5777/vC2Nfu83h0PwE/T6sq2lmRwwz44rZCY8NM3DB1iWe3N9m/7FxjAmoBJJGkhu4GypBzINPSe7ZWSWRAaMu1FwL8MAzmVpRDLUkBWtSAJtMojlIglOSbKPEDAFaydyGrJT0JlMbZegMdhDLblYFjr/TZcxVYC8wLgptYmHTRjbyTrUGk5IYU9B0SeblN3iYjNmx7UqaWRJLafnoVNo4wLx65y0KZCtmmSS30LxnxpqO8gg8nyu3t7lie4v7n6qTVrJNfAWhLxmpO2xaE3NkcZEn91ToRx792CVJg+L7NqsB77hRse+YZvfRgBuvu3Z+89Zr/pU0rVt6Tvj9hOT3F+BCTABw4OjSh3dcfJ1T88QfCf21ySeeXeTACUPFVYzWFdNjHuumBedtauEHc3z6ngYqMkyPauJEFekEShocJ+bRPQ7zizWqrkPDNVR9Q8WH0LU7e242qSxHz+XAzid3eeUuBE3q9OqtlMlCZ80ggFYOEt2W2pJeYv3kioqbvf32mpFv8zJl+tzeRlpLfAealQRMQqI1kVHE2ioci5UyZXASkbUkWRXPWhSlTKElTzWo7H2hgSQLtdKQpnY2oLO04fwgqaT1fp9o9nnR1g737EyItVeYBjlK4HuWVPipa7s8sFvy9EGVMTUuvucT+An9OGHfEZf51hSXXnrjyRddetVvQ/fDQkx9X8EN3yMP/nzXhtkmSRJ/cMs5V//O+i3nn/QDwxuu7dCsGUbqDjPjgs2zfRq1eT52h+ToiQDfLW22SHCkJgxiTiykfP0bVTq6wohvqPuGqg8VHyqBtHJcz8px80peRGeXFhtyj5NcgDXQfTCo2nKQi25BnlXuLKvz1gc89h5zQInCgbzA+fcR4Sb7ruVXhiSVbJo2vPzKPpjUynazFiUp+HjQKWeo5joLWzUDSrP0NTqzdYgTu1rWjRSdno3qa3cd2j2Xdtel0/NodQIkAde/qM/4eIdOZLXp5UjEfqxYP+7y9pcusBDF7DuecmI+YXFZstASfOIuj36UcN55205ef93VvwPmg0KM/yCg+IMBOMDGNU0+/JmvvP9Et/qeS89bOx8nDs2Ky+yEYtOaiO1bTvLkoTafvrOJi0MtyFbY8iRkL6Ua9rn1Icm932wSOg4jgaHma6o+dhE1FFQrimqoCIM8nFYW08FiK74APFl1N6VqnlfuwcMpVe68RREyZf9xh1bXASmGqT1Kmz3lnjl/cybwm+H3TentEM2YJxlrST2EDVMx1g1WE5sc4Fa4lBaAz9MT8hRhCpDrwpp4mN7M5av9WNDpClodyUpHsdJRtDoOra5Lu+vR7gb0+hWuOhdee9ky7b4uJrpxaujHhlZHodOQN79Yc9amRR47ZNh/LOXISc3iioswkr44a/7cLfI9J/Z96v1CjPygYPj9bVFWX//2nW/i0KG9f9fvn/9vPvO5L46Fai/rpg2N2hIfu7PPzfeNIXXAZMOKtEJf2JQIPyH0I1yny2P7AhaiKhvqtnrXQpE9JGGgCjmu1tCLUvqRLtbJIOdoRaYZKdtD5HZug7d5a5JPUXPJgBQp0tH4gbDlH5mFUpnB6H2QrDNYFj4N2OKMwF4N7kJLPfQ2M8jpYePmTEKq3Wzj3aYL50OnNAd81munKq/aZvAoqxyzYqA19CNBL8qWJ5SN6UvSzG9c2LOK7wVMjQVcuLnHh3WPlSi0soG+ZZraXcnJxYBNlRrvfO0Ks2MneeKZUfYdk3T6cNnFm1Yise43brnD/civ/9I/+kFC8AcLcICpNZuTNEl++ZwtazcfOZL8VRQ/G3zmnpj7n5rk+KJD04NmBWoVu8NZC1OqYcx4s8OTBzQP727QdB1GQ0M9NNRDSb1iDTmroaISSALP/qMeO6VZjrLJrmsZlGJKKAemm2qo/86BnU8Ny48UKWyY1ok5waETyk4lMyVewVcXIF/1cXlDrVzJS0vLQxv4RcUufV12wNRZvMi6qZSJ8ZhT7ZTEMYVcICmBWw+1J1nbIkUGdFNs5heuY9IqOzGCla7hxIJtgaz5qbVS05lNhSMNrhNSr0Rcum2JHRtX2HM4YKwiaHc1nU7KSsdlqe3Sizw2T/r87HUOm6aWeeQJzZZNZ/f8yvSvVN3aJ9Mk+p7G8N/O9QNrUfLLk8L8zYdvuvsz9079762bxn8uqK/p7TlQ4Q1XOmzf1Md3NLWKTVRu1lJG6hGjzQ5Ctrnl/pBnDtQZr0Az1AW4GzWHZt1hrCGZGtOsnUq4YvsSY6NLnFiyVSRNKeYqRfVWDMCcqQ1l8bFeVcU1MrOmcD3NQ7sV33jSAxQiG5ic7m2yKtI7+9zqQ2hRsUsb+oXBfY7zwpZu4AplhOSS8xMuPyuCyEpQYyOGovkGh0gz1GcPtyeDNLd8caMSaKbHe8x1VnhoV8SxUzFzizGLKwmLK5qllmS5rVjuuCy3PRZXKpy11uO1Vy8Tyx4nW5LFDix3EpbbmpWWIooUT+2XfO7OETaNu+y4cH3Pr8383NvfvvaTG6eT9O1vf/sPGn4/+AoO8Ou//NPse/KD6cbzgk99/GMbf+GVL/Y+lEbfrEzWXPw0pF5VNGswNRoxPbbMxMgCe45GfOXhcVxcxmuaekVQr0jqVYdGzWGkBqP1hNFGzMx4l1rtJHtPVTi1EuApSyHmG+d59XZKFdwpqnb5oYfYk/whVGpH44ltT8iML4vxdhnUqx7w/C24fYjhCWjhuQh5VLcpEhmEndpKXfDhsbZMStGLr6IMLcOSMSapsby4FqTZz8TYmz7wUsZHumxeM88n7hyl1w+ZHUmJE4NODcY4djtfOrjZ1zdrFV62Y4Fb7l3k6UMOnuPgu4ZGLWWp7XLoRJ3FTspKb5Eul3DhuRt+9ad+KvjUyZUT5v/619/7GP7HBuAAm87/p3zqkx8zv/WXt338X7/teufk/Dnva4SnmugUBIzWU9ZMLbLv5BJ7T0TMtxSP7a2yaQSaIbZyVxWNqkOzar9+vBkzMdJl7eQ8dz/d52uPTTKaJeeSQdFW73xcP1issKtmeuiQKdVAppvHiCuVoNOUpWWPfqqyA6YYtCjPA+7B+Htg61Bw5oV3yuCAV0RaF1ryss+KreZa213WZjMBJ80GPoZIDzLhiyqeWa4lGmRKNuixehWdGnQm8c27oTyw+IaLUj7/4DL3PhFaL3GjMcbupEnpoJTEdRx8z2NhucL2LUts39hjZuwkURJy6FidiaYEJKeWEtrdGq+8pnnqsmtetTA6ef6+xeXYjDS8HxbsfvAtSvl6y1vfzrvfeB1vecXM/37Tq879Fzdcf8XcYlqh04+YHu/w9JEO77t5moOH17O00qTiGEYqhmZV0KwqGjWXZh3GGiljzZjxZpd100s8d7zFH310hE7XJ3DNQEiUa09yzUkxxs8Olqt6b6cEbmsPZ/vvkwuCz9/hc/yUsoaHZwI2g548d6cduNQOu2Ll4NbZgoTWWAvjTHpagHvV8xfHgtlxw2uu7zMzmkCSojPnqcSUQG7yPtwU7UmSZJPOxNjxfjbit4u/9qboRYqK7/NbP7PExrUL7D0lOdWChZWUpZWEpZWExRXD4opiYcVluR3Q77uEYZV1Y1O863WCrRtaHF3UeE6bc7fEbDn70rmOuOg312+48mzH5W7Hc3+YkPvhVfD8+u1/8U5++1+ASRf+9grpOqma/MOje2+f3HX4AJ++e5TJSo3RWsqekzGjFclkXTDecBhpOozWYbSuGa1bfcPM+Aquv8jH7/HZc7jJTAVC12SCq8G2vJsvM+Q7n0Nc92CbaJA3kw4OmTItjOMxsgB3fuWdcqHEk7IQMEmZU5Slw2dRtUtLEoUyMWtJoHCFKhQpha+KsLp5k9o2xaTERhFpgV/Kgi+owNIywmCxQuMoMViAyHThvb5DuxOybabDz147zx/+vc+hxaqV3gqNkAlCCsBBCIdK4DM2UmUkVOw/6BP1PH7tDaf42O0rzLVnmd10/cmzJ677N8YkfwstAkd8N3PenyyAF8BQo0S97gfe/KrrxAOP6P/8p+//0mRrqc115wjCsMfuw4LphseGKZe1Uw71qj0IjdQTRpt9ZidWCMN5PvgFh499bZqa6zJS0QRlcyE3N/PMxvp+7jNOZt+bRwnmmzTZBpHUKJkUVdwa2pQWzVb7nOQipaJ6Z14p+VaRtHLVnCVM8zyd1A6hymAsOHBdpg1XqV+0sVy4TkAnNhM+FQTSVvHBAoLtwe26mBm8ImRacUcJ+q6iH9vN9l5fsdT2Cfw6b7l+gRNLJ/jAF6Y5tFBBiew8QkwUa3o9B2M8RusjbF23xFN7ejz1XJWXTbr8zEt8nNHrTm7Y+pLfMZgP1Kq1HxXMfnQAB/CCkKcPtt8/MntV8rNv9P7sE5+9fXTd1CIHTvbYvT/kgvUel55nmJ5ocWrBw3EkjWrE1GiLIFjgQ7c6/LdPz6KjCmtGUmq+sR4sns338T1J4EMYGCqBJvDsrmPuGDUApin0FkoOFpwdJ0aqJGvk8g7aMlvaFCSNxcwQW5MLumSx+6lkZmy2CrhKZkrArE3QWgyxKWU9eO5AC2SNuk2ANqlDT7r0tSAs9fKQv1rYz6UpWUy2ZXuU0riOpO8K+p6k6ynaXZf55QrTYym//oZltD7B3946zZGl0G47eYZEJzx3LObYgkfgVjlva4dvTHc4Mheg/CnO2vjShc1nv+i3lGr/zQ9qQvntXj9SgAOcu75KFMcfnqpfMn/oyNGtWzd1/vhDn/66u24k4LodKWFlkSf2pXRaE5y70TDW6FKrLvC3tzn8t0/NItKA9SMp9cAQ+qKo4L5nB0eVwFAL7B5oGNjWI/fEy/tdsO2FVcyleE5EJejheT1EkGLaCpMYu3CoE4zRpKhiJW2wkWMzfqxdtN3YdzOjUSWyfcVslUwKC2SRmfa4zqCKa1OK9SNfa9M4MgE3RbjK9iL9bOHFkcRC0lWKWua+Rf47WVEmUWI14ErYPU2MRqrEJmtEDr1I0O1LPNdBSR9jBBMjine/aRkjTvDhL09zquUz0RRsWSuZnV5g92GHrz82Qq3S4KKt8zjV7XGlqd6zYfMVe7Sufs5xfniHyee7fuQAB/BcVy+ceuqWf/XOV3n3PPB05/IX+f+9Ej8mlH9SfvR2RdSpcslZirFGj0Ztkb/5iuJ9N89QlQFrxjShZ1/q/UxZaAOsLLjrldRmetb71Kt9qmHEyYUaR05WiyGHMSLbSNF4boyUfXYdTvn722rsPeZww44ev/lzy+DBZ+9V9NOARMts4cFW9tywMxd8OY690ULPxrB4rqHTNyytpHT7GtexqcNCKBxl9yRTLQYTRlPShkuN5yQIGfPxLwX86cdqvPFlPa6/eInnjrl8+LYGu09IekmFyCG7cazOxnPteWBu3nBsyU6ARwK7FC2lteTwPUkvkgSxpB9JhHDoRbaaT495/NrrFjHmFB+7fYr5locxihdfUOXic1b4xO2L3Pf0hP65N19mmhNb//l89/wPPfHM0eiyHef/qGEF/JgAHGB04jxuv+eZyHHXfXjTOvf2ycqJn777G/4fpN1Fts6GnL0hZd30HB+7U/DXt6xh1HFZP6aZaCqkhMWWNQtUCjxXEvqCarZA0axHTI21CMMFvvKIy/xCFYXDSN2COvRzQKRU/D6H52N+/j9MsvtYg04nZaRygne9IeJPppaRSnLTPQGx9khXMR355oxy7GKz5wrCABpVzWQzZrnb5+Fdgk5bMt7I9e7269K0xKaUtdjS4KoUpSJuvtvlPe+b4ODxgJ971XHe/lK7xPuaq+d42+8p9p3w6HkuJrvhXCWoBpKRmsO62Q4nOkt86eEG7b4HWBbJc1OCviIKpO3Vs13N4/O2kre6LmsnFb/62iW0mecL94wxflBSr1ZYMyF55VWjLPRm/6+1s2d/fP3GmYPd9vGoMvrjAW74MQI4wI3XnAPQvevO9+/qyLE/fMmVo95IbeF3o85RtW39cW6+P+Gm26fZNu7gKs3MmMPmNR4XbJ3n5rvhxKmAMZmFx/qGapjSqEVMNNtUK3P81Rc9PnLrDOdMuVyw2eA6kmpg9c9SgOcmLHf6/JePNXnm+BSB63Hu2X1edkmVk3MB0yNd3nZDh7uf6HC0XSHWqsh3yFTimYLRsji+BxXf0KgkrJns4HUWObpSo71YwXd1xvKkxJ4sgpqGzYHs0rXrJCyspHzi66McOjWBX3f48v1wyaaIDdOGDRMr/J9vX+R3/6ZCLx4lzf4e14FKoJgYc7j4LI+t6zQbp4/zl5+fxGnZnjrwDKGf0o+tTDn0U44udrj5bp8LNwTEiQdUcVXAT1/bQrDAVx9oMDk+wvj02WkiJv/jW97IH9752L70HWdd86OG0GnXjxXA8+va636ZA0/9XbrhvHf8Xmt53nn88a/85mNP3u5/5NYeLz7bYduGiEeelkyNuuw4u09kljk4V0OlAldJAl/a6l1JaNb6jDSW+OsvOvzPW6ZZU3Wp+pa5iJNc2C+QUlOv9rnpbodbvj7JSOixoanZOhWwtLCR5460mR5b4NWXn+KvN3c49nhKqlURU5J7/1kTn6yvVjYhrhIm1Kt92kmXXhKw3LPmmaGvrSdJarIDZmkrP/ue1jojYec+xS33jzM26rGxaRj3Jnj2AKC7TE8o3njtKe58fIlPfb1BUrN0pspCvxwp6HRdev0G73ztcVJO8Je3rKXqKSq+PYD3Ik2UWN/u9VMtpNPjsT0O1dAlCOChZyRnzY7wi688TKUScOH2q/ovv+6GP5mamvi9P3rfzfz2u974o4bNGa8fS4ADbDjvHUS9Fk/ui393w9ZXysX4rKvP2nSzfPEl3aufOjDnGCY4d1PCzOQpPvBlwYHjPuevEYSBpBYaatWUWhgzMdLm2GKPLz44iW98puqG0JOZB7j9WQK7qhbFCU8fCkidkJmKYbIBow1Fp+8wvxRQDUIatYALNkfc9WSMNt6Qr89A2JVVccdaT/iuxnMTlEpItaaXCPqZj0mSWJ221oPx/ICasT14rDWPP+eD8BkNYLJmCFzJ3JJDs2YI/BjXqXD22gjlRfTTcMClY2nJTl8ytxQw1qjzmksX+Oy9K5xYGKUZ2Ape6aZ0epJuT3HOJsGNl7b48OcqPL1fsG7KEHoL7D2xIblGbLn3Pb/2Vt2YOPteKfXvLiwsMzra+I7+bX+Y1w91kvmdXl5QY8e5o6ybbf7OOdO7bnzf7178uvPOP/8TI81z9dUXhGycnePeJ1O+9mgTTypGapLRumK0ntKsRjTrfTy3wyfvDth7pM5MAxoVexO4Th4VaDlw30tZ7iR8/t46DopmaKW5oWczN6NEEiUOGIeff1WX0YouGUoOLpGxH0Oy3My8x/qalDXc2QKCMcWGfnlHM9+HbHUMH/5iBYkkyOwxwNDtC1odh+W2j04DXnNVQrXSpxfnnLoVXMWJod2TLLVcTi7U2Dzt87Zrl4h1zEJHsNIx2ZQyZX7ZIY5dXnpxypUXdNh9tM0391V40fbz9EUXbf/EA/uue91Hv3DoRqVGf0eI8R9rcMOPcQVffW09/+3c+8iBFRGGv3HN1UeenfDuvGDfUfmmg4ePcfEmyck5w8y4w1nrI6bGIkI/ZqTW5/Bcwj07mwTCYbJhaNYcKoGD4wxM2y0IE+Y7hlR4VD0IPYPvKkvxSYosSq0FpxYViR7oS2BYGQjYFiN3jVWDbE/rvCqKCaYp/U9WVpt9XeYNY4zt68dHDHtPZGkSmXowiqHXl/T6Dr3IB+3SrETML9qWJ//WSQLtrmBhxaEaBEyMVLny/Hk+eU+P+YU6viPo9A29KKFRdTi24HLweIPxasB1V21Am6mbrr3m0p3rt6z5r7rXW1Hh5h81HL7t6ycG4ABXX7IB4JQxj/97eOXG7mOHufbq5970lXsfJRQJO85ZQTgJK70evu/huYZ+Im1iQQDjTcXMhMtYQ7DU0kWarlKawIv53FcDjs37TAcGP4tXsQZBuV7FACkfv73Ccs9hNLCAM4bSlkw+MTQlwNq3w5GAw9W/MNPPowzJV9UUjVDxths7PLBLk2QBq0nmPWjt2yS9yGFqVPC6K9v81WfHiTOldW5dd/RkQr8v8F2PtZ0Q33HxHU0UC4TUBPWIWDo89IyiXnEI6w0uuPAKtm4966a+s/lf7Vvs7N8gZn/UEPiOr58ogOeXEBdx4sTS/k0b1v2WEY0Pv6Ky9V+Gevf1x44+wq7nInqxYtN0QJIIOkmVwJOoqmByxOGs9Smef4pnDowQ+gFSGhuV4ibsP67o9hV+LfMqdG0rU3imqJTAj3juRBNwqbhZvk02A4rTvJ9eVc1fYNU+17EUUeeZ+b+SNqi1H7lo7bNpsoOOE+LUJU4FSaozgOfxfIrAk2yeju3nU0mqDb4rmZ2M2XVkmfmVOmHgsbTi0YkDqp7DtpmE8zdo1qxJWVyGblJFNbfz2ldsuqOX1P7r+nUXPp4k0f5aY82P+p/9u7p+IgEOMDXVBHg21ebZHRex89TBaLY5fs7/7Ihd2+554FHlyJjnjgRcdkGK5ygqVcnUmGTrukU+chccnYMtawy1MKZW6aJUjJQeUlqnKxtSm4VkOdZdqxrGPLZXcmK5yngoGQttAGq7b9sB3yFjRHJn2VUWVs/jwplXb9exOutKGBP6Mb3IZSmRuG7CeD3iwq0tDh8PraNtAnFsmY9+bE0zbZBrSmwMCz3BZM/+yNnxhEu39/j0V0NmxhSLLZdYetR9xdUXWVu2zVMhM5dcnE7NXPTsN/f1fm3d5huPArvOlA36k3T9xAI8v5SNONt16uTSrg0b0lf10sra66/e8YkDz36h8fTupepDTy9z6GjIFdsk02MpRrQ4OecS+orRhma0ucydT3RZO15j3XhMPbT6DD/PEnIHxp71Sp9HH3Y4NRcyUzOsGxcEIew8FnFwwcVzoB7bKp5H/K3e1ilbJ+eXkLYN8lxDNYyZHlvk+KJm94EZqoGDkjA50uXiLX327DdEiTXe7Mc2L6gfWYC3OpIDpypcf2HC+sllnni6xsKKQ7fnMDsGqB7H5x2OzUmuuMBwxTlL9JKNBKPT7cuvfelyM4zeNjJ21uFzz3L2/6QDO79+4gGeXxOTTYwx+6emRw+adH77SPU1V+3YkfzVN3c9mmj2jzXcXn3ddJf7nzQ89rTkFZcIJkYi7n0q5db7Z3jrtYrXXnWQLz+c4PRdwkDadLgshcL3U04tae7aWcEViskGrJl0uXy75jXeMn/ySY+Tyw3GaraCQy6RFTbnPVVZ+pgolpzLTblS4Hsp480uR5c6vPfjo3ja4fLzXMIgpFENuXr7Cl/5RkQv8khS6wfe7Rk6Pdui7Dni8cV7PC7dXOFNV2hCp8vRox4nFjxefnXEFedpHn+mxqFTgunFczj/4s2Lk+PntlxXvXN0ast9aycbS1GM9r1/GOCGH3Oa8Du9ssUCHfWihdGxjV+q1RtnP/Pkn2591y/90n98/at3fDMyY48u92Z6U+N1ZsYMRrR4+ClB1Q2ZHoNnD0l0LGhWJaN1h2YNAt9k626GuWXB7n0BFSUYqQpG64pGVXDWrGHLdI+lrrUzzkOqcsfaOFZ0+y5J6qCkKDTrcWwpPGMs2+K7mma1y97jgmcPh6y0NfPLhoVllzj22b7JMN5IrMOtMfRjzXI7YX7ZsLji4LuKs9fHHFuQdLoVLjk7IaXDoROaOBnh3I0jvQu3Tz06MrvjG9dc92vfvOG6N//mQ994bNOGtWu/1F1pLwgh/kGBG/4BVfDyFdRmwepaO0eP7EdI5487jvpjt3mRevE19f++flP/7I0jh649Nve0euYwvHoHtPrL3PoNSdxXrFmv2LrOUK/GgG0BepFDisJxlfVlCSW1isB1NBMjKS/e0eWR3aO0ei7GWPaiXolp97ocnw+pBCH9xCdwFBN1wYZp6EQRra51pBLCUAlS2v2Eex5zmFtSzFQN7Y6m1ZG0ex691EMKgetZL8BOz9DpxbR7lv5cM+Vy4yXzfPGuJZ492OTV17o8/lyVxsiWtDo+ddfll7m7NmzuvvuZA6TKcXG8wPzKL/4C480f7pbND/P6Bwnw8jW7ZiMMjndJu7X8TiGDUZMc+0933Su8zetPpdvPcS558nD90gu27KHf6rN2UhGbmCix8XZLK3Uc5VNrBLhKEQZQDRXVEGqViCCMuPbiDrc+2OHwwSZJahmRRrXPx+9s02/7TDQ9VBDgOYrREcUNl8R00yU+8ZUJ0tTuiY7U+jx5IOW+x126fU2rZ+j0NK2Oy0rHJZUevqeYqitmxgXz7Yg4TjCyz679LkI67Jub4J+8cZJnDow+3EvcRy44d4t66fWvjbZuGP+37U60cOXoCAC/9e4f9b/MD+f6Bw/w1Ve11gBYAN4FcODZz6GUuX7moPvKmZEtb1szK8/xnD6f+/pTbJnVHDnZoemvML+k2HG+Qz10qFUdlIJ6JUWpNh/7qmLd5BSvu6LH/5oL6fQDtLFKvaWeZHkRllYEVeXiOpJmIJka1ZxsG/qxpQmrgaHdj/jCAyHrZitcuWOZR77ZYKXrkGrDiXkPN6zgKcG2tRHGwPbphHY35Nwt0BfbmZ6oIee8Z9ZsaH4ibXpfPirMHf/sl2/8UT/lP9Lr/3MAX31t2PY6gDvi3rE74OI7J9aKrUeOL2h11wm9ZdPI5nPPm/g3i3N7WVwJCYNdTFa6VALF7qOGbesFd+3ss+9IhaPHxrhw23E2T8csLId0erav3jLT4/7jmlbPwUsVSkmqocD3EvY/Z6ea1RAa1Yh9RyWtFZertoVUG318tczKgmR6bIn9RyV+qBhpNrh0xyzHFhK2bVrP4SPzfzg1euK5Cy57sfSCSXmpFnuAL904Pfmjfmp/LK7/zwM8v9xgBuBL+cftlTkcFYy0Vw7e+/DjmnoriM8+e92/fkfDf4VyJAdPJiwee5Cd+yQXbXI4Pu/xyLMT1KtwaK7NSsfnyHzERNOAbLOwVKXeTCCF0Eto91Y4cFTQqPVwVYIUi3R6NV5yCSSxy/HFSa45b4VDJ+tccsVL2bDo4bgu41vMrWvGen/m1lJ3cs3FXH31mju6/f7i2jU/2tWwH9fr/w/w57mq9XGAReAzACtLBxCYp2ujaloq9KZOzOe/9AyJjnGUREjBviMy/pWfvur3J5+Y+6mtUzKeXdPFrbq862e69LojrF3T44oXSbZMBRztruNF5zvMrlNsmjas2dhxu97sZ4Pk9t8/vqBcz3GpBiljo1UmZl7E2LSHcoRct1keB567fv1P5mTxh339w+KEfsTXM0/ehZJi+gt3H2iuG9Nm40yPk4sVZsaXefbgKGum+zy2R7JxwmP30R6zIw6HlwWbx1PO29IXB+e2LQlhjr/0hht+1H/KP5jr/wfBec6+NlcwhAAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxODo0NjozOSswMDowMCI8VncAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTg6NDY6MzkrMDA6MDBTYe7LAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 10}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 29192161
    {'hecke_orbit_code': 9007199422513233, 'n': 1, 'trace_an': 8}
  • id: 29192162
    {'hecke_orbit_code': 9007199422513233, 'n': 2, 'trace_an': -15}
  • id: 29192163
    {'hecke_orbit_code': 9007199422513233, 'n': 3, 'trace_an': 0}
  • id: 29192164
    {'hecke_orbit_code': 9007199422513233, 'n': 4, 'trace_an': 1793}
  • id: 29192165
    {'hecke_orbit_code': 9007199422513233, 'n': 5, 'trace_an': -453}
  • id: 29192166
    {'hecke_orbit_code': 9007199422513233, 'n': 6, 'trace_an': 0}
  • id: 29192167
    {'hecke_orbit_code': 9007199422513233, 'n': 7, 'trace_an': 343}
  • id: 29192168
    {'hecke_orbit_code': 9007199422513233, 'n': 8, 'trace_an': -7239}
  • id: 29192169
    {'hecke_orbit_code': 9007199422513233, 'n': 9, 'trace_an': 0}
  • id: 29192170
    {'hecke_orbit_code': 9007199422513233, 'n': 10, 'trace_an': 510}
  • id: 29192171
    {'hecke_orbit_code': 9007199422513233, 'n': 11, 'trace_an': -99150}
  • id: 29192172
    {'hecke_orbit_code': 9007199422513233, 'n': 12, 'trace_an': 0}
  • id: 29192173
    {'hecke_orbit_code': 9007199422513233, 'n': 13, 'trace_an': -32435}
  • id: 29192174
    {'hecke_orbit_code': 9007199422513233, 'n': 14, 'trace_an': -394824}
  • id: 29192175
    {'hecke_orbit_code': 9007199422513233, 'n': 15, 'trace_an': 0}
  • id: 29192176
    {'hecke_orbit_code': 9007199422513233, 'n': 16, 'trace_an': 328193}
  • id: 29192177
    {'hecke_orbit_code': 9007199422513233, 'n': 17, 'trace_an': -415539}
  • id: 29192178
    {'hecke_orbit_code': 9007199422513233, 'n': 18, 'trace_an': 0}
  • id: 29192179
    {'hecke_orbit_code': 9007199422513233, 'n': 19, 'trace_an': -85277}
  • id: 29192180
    {'hecke_orbit_code': 9007199422513233, 'n': 20, 'trace_an': -1855164}
  • id: 29192181
    {'hecke_orbit_code': 9007199422513233, 'n': 21, 'trace_an': 0}
  • id: 29192182
    {'hecke_orbit_code': 9007199422513233, 'n': 22, 'trace_an': -529359}
  • id: 29192183
    {'hecke_orbit_code': 9007199422513233, 'n': 23, 'trace_an': -1064559}
  • id: 29192184
    {'hecke_orbit_code': 9007199422513233, 'n': 24, 'trace_an': 0}
  • id: 29192185
    {'hecke_orbit_code': 9007199422513233, 'n': 25, 'trace_an': 2293229}
  • id: 29192186
    {'hecke_orbit_code': 9007199422513233, 'n': 26, 'trace_an': 1218156}
  • id: 29192187
    {'hecke_orbit_code': 9007199422513233, 'n': 27, 'trace_an': 0}
  • id: 29192188
    {'hecke_orbit_code': 9007199422513233, 'n': 28, 'trace_an': 612862}
  • id: 29192189
    {'hecke_orbit_code': 9007199422513233, 'n': 29, 'trace_an': 1309053}
  • id: 29192190
    {'hecke_orbit_code': 9007199422513233, 'n': 30, 'trace_an': 0}
  • id: 29192191
    {'hecke_orbit_code': 9007199422513233, 'n': 31, 'trace_an': 2359819}
  • id: 29192192
    {'hecke_orbit_code': 9007199422513233, 'n': 32, 'trace_an': -5760063}
  • id: 29192193
    {'hecke_orbit_code': 9007199422513233, 'n': 33, 'trace_an': 0}
  • id: 29192194
    {'hecke_orbit_code': 9007199422513233, 'n': 34, 'trace_an': -981801}
  • id: 29192195
    {'hecke_orbit_code': 9007199422513233, 'n': 35, 'trace_an': -15533277}
  • id: 29192196
    {'hecke_orbit_code': 9007199422513233, 'n': 36, 'trace_an': 0}
  • id: 29192197
    {'hecke_orbit_code': 9007199422513233, 'n': 37, 'trace_an': 8195758}
  • id: 29192198
    {'hecke_orbit_code': 9007199422513233, 'n': 38, 'trace_an': -39490203}
  • id: 29192199
    {'hecke_orbit_code': 9007199422513233, 'n': 39, 'trace_an': 0}
  • id: 29192200
    {'hecke_orbit_code': 9007199422513233, 'n': 40, 'trace_an': 16760496}
  • id: 29192201
    {'hecke_orbit_code': 9007199422513233, 'n': 41, 'trace_an': -54747318}
  • id: 29192202
    {'hecke_orbit_code': 9007199422513233, 'n': 42, 'trace_an': 0}
  • id: 29192203
    {'hecke_orbit_code': 9007199422513233, 'n': 43, 'trace_an': -15249608}
  • id: 29192204
    {'hecke_orbit_code': 9007199422513233, 'n': 44, 'trace_an': -166254963}
  • id: 29192205
    {'hecke_orbit_code': 9007199422513233, 'n': 45, 'trace_an': 0}
  • id: 29192206
    {'hecke_orbit_code': 9007199422513233, 'n': 46, 'trace_an': 1195260}
  • id: 29192207
    {'hecke_orbit_code': 9007199422513233, 'n': 47, 'trace_an': -156295545}
  • id: 29192208
    {'hecke_orbit_code': 9007199422513233, 'n': 48, 'trace_an': 0}
  • id: 29192209
    {'hecke_orbit_code': 9007199422513233, 'n': 49, 'trace_an': -15239583}
  • id: 29192210
    {'hecke_orbit_code': 9007199422513233, 'n': 50, 'trace_an': -315590163}
  • id: 29192211
    {'hecke_orbit_code': 9007199422513233, 'n': 51, 'trace_an': 0}
  • id: 29192212
    {'hecke_orbit_code': 9007199422513233, 'n': 52, 'trace_an': 19773358}
  • id: 29192213
    {'hecke_orbit_code': 9007199422513233, 'n': 53, 'trace_an': -262758114}
  • id: 29192214
    {'hecke_orbit_code': 9007199422513233, 'n': 54, 'trace_an': 0}
  • id: 29192215
    {'hecke_orbit_code': 9007199422513233, 'n': 55, 'trace_an': -3789885}
  • id: 29192216
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  • id: 29192409
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  • id: 29192410
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  • id: 29192413
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  • id: 29192418
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