Newform data - 50.11.c.c

Formats: - HTML - YAML - JSON - 2024-06-10T08:19:07.451631

• 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': 6050, 'analytic_conductor': 31.767862633686203, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 4, 'char_parity': -1, 'char_values': [50, 4, [27], [1]], 'cm_discs': [], 'conrey_index': 7, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [66978, -366, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007336878243890, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '50.11.c.c', 'level': 50, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '10.11.c.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-2^{4}-2^{4}i)q^{2}+(183-183i)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '10.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '50.11.c', 'trace_display': [-32, 366, 0, 16814], 'trace_hash': 1241470314502786431, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.022', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.976', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.038', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.269', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.084', 'prec': 17}, {'__RealLiteral__': 0, 'data': '107.431', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.247', 'prec': 17}, 'traces': [2, -32, 366, 0, 0, -11712, 16814, 16384, 0, 0, -346796, 187392, 465246, 0, 0, -524288, -3760066, -253728, 0, 0, 6153924, 5548736, 10456526, 0, 0, -14887872, 18709920, -8608768, 0, 0, -20131996, 8388608, -63463668, 0, 0, 8119296, -112775826, -35249920, 0, 0, -306007196, -98462784, -118744914, 0, 0, -334608832, -344678706, -95944704, 0, 0, -1376184156, 238205952, -392771234, 0, 0, 275480576, -403170960, -793306880, 0, 0, 1812371604, 322111936, 133318206, 0, 0, 2030837376, 1924147934, 1925153792, 0, 0, -6241755196, -129908736, 1272678526, 0, 0, 1127997440, -2915513972, -2724480576, 0, 0, 7784229762, 4896115136, 10367644206, 0, 0, 3799837248, -9073447440, -2840952832, 0, 0, 7822646244, 5353741312, -3684155268, 0, 0, 3070230528, 1280722494, -4515838432, 0, 0, 4048687604, 22018946496, 3005049166, 0, 0, 12568679488, -2836232386, -9579479040, 0, 0, -41275952316, -4407689216, 35902179646, 0, 0, 25385820160, -3688935534, 22210205440, 0, 0, 8258883606, -28997945664, -55999316868, 0, 0, -4266182592, -26124212146, -4294967296, 0, 0, -104044381196, -32493398016, 18521629840, 0, 0, -61604921344, 32762905374, -61233416256, 0, 0, -126152406396, 99868083136, -80672725908, 0, 0, -40725712832, -51649902066, 57741222912, 0, 0, 227736812804, -18047959040, -29813563314, 0, 0, 87183378432, -20885561586, -62975892480, 0, 0, 175816028164, -124547676192, -95661099154, 0, 0, -331764614592, 23656260334, 50412945408, 0, 0, -17468538480, -60797395968, 232754732126, 0, 0, 90910490624, 254029224720, 248684264960, 0, 0, 266000650804, -125162339904, 331664003532, 0, 0, 117892968576, 651987924268, 176475497472, 0, 0, 262087612004, -49123688448, -425584976514, 0, 0, 144506829824, -158049242706, 43995927744, 0, 0, 704238143844, -64779001664, 416833183760, 0, 0, -96161573312, -82909794654, -121961447424, 0, 0, 275989278004, -201098871808, -1142241200868, 0, 0, 306543329280, -169249690372, -198814703360, 0, 0, -1749355666236, 660415237056, 252107384526, 0, 0, -1148869748672, -230536414946, 206423531520, 0, 0, -1067078113752, -406173122560, 199589619006, 0, 0, -710726574080, -720286770240, -1011547995584, 0, 0, -1628541219196, -132142137696, 319711980366, 0, 0, 1791978139776, -512496383760, -164921311232, 0, 0, 906342026004, 68258921472, -1813140695348, 0, 0, 137438953472, -2671577745986, 695370216384, 0, 0, -393133140720, 1664710099136, 1824130351246, 0, 0, -592692154880, 2844326280480, -985163742208, 0, 0, 1438889914404, 985678741504, 1431544262652, 0, 0, 1959469320192, 1725152979054, -836766659840, 0, 0, -1578599999196, 2018438502336, 1320490269806, 0, 0, 2581527229056, -2572602496772, 66513272832, 0, 0, 468744432804, 651611405312, -358472794914, 0, 0, -1847719133184, -3244262708160, 138036038400, 0, 0, -1996576983996, -3643789004864, 740909831532, 0, 0, 954034026048, 2203106746014, 1492743153664, 0, 0, 10622769817604, -1394934054912, 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-60712924470336, 0, 0, 8658191282244, -14501472416064, -47100244298034, 0, 0, 58020502251136, 10845155202306, 13375596618752, 0, 0, 21398816736164, -2199023255552, 20610099475200, 0, 0, -22251846924288, 59766598262988, -30339403813824, 0, 0, -125465257890396, 6290130251520, -2979024166674, 0, 0, -58372171239872, 37848816835868, 16636619784192, 0, 0, 11006544933360, 9483074478080, -71184311955108, 0, 0, 31525239750656, -66249999809040, 33391250510080, 0, 0, -179423024404396, -23022238630464, 48678119097132, 0, 0, -45809416404864, -67990957863906, -16774607551488, 0, 0, -54617195420800, -31351509123072, 33089895504960, 0, 0, 26776533114880, -19038290057586, 2554025540544, 0, 0, 238627580282088, 25257599987136, -72730295262354, 0, 0, -42255688633792, 65442019609134, -51132458565632, 0, 0, 4384018842004, -41304435664896, 47962032996732, 0, 0, -2128424730624, 59515718696254, 161697736375328, 0, 0, 174321569679684, -7499910924864, 68105746433132, 0, 0, 11471129437248, -92066508634626, 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-3189048622546, -210243164006976, 0, 0, -84376327870236, -55853565478528, 113159149055406, 0, 0, -227914550169600, -120459397483440, 31128266735616, 0, 0, 9971153735604, 119170422848512, -23117110283988, 0, 0, -148659362856960, 575303626717468, 260050531385600, 0, 0, -360606515257196, -139275447045120, -124229338888560, 0, 0, 351535192653888, 34037316686828, -130062963056640, 0, 0, -31208490717120, 127326343659520, -105255369802948, 0, 0, 185355190722560, -14479779078720, -189217442152960, 0, 0, 50526896677124, -157364218374432, -298023043112868, 0, 0, -48364022396736, -430627933878546, 64083118030848, 0, 0, 446488713804324, 169811969808384, 557573233965406, 0, 0, 87715697655808, -333643403459732, 38821296913344, 0, 0, -187573676456160, 105664888455616, -318094419353714, 0, 0, 272459032955968, -82205050909374, -333817817225216, 0, 0, -280015739163996, 90355454705664, 165860590758732, 0, 0, -161069360578560, -141576179991186, -230719713921280, 0, 0, -569905598186396, 152983386326976, 104464700696720, 0, 0, -444052372896192, 322912788754320, 25151328485376, 0, 0, -977797455030876, -217899507975168, -280063433234274, 0, 0, 20983357341696, -347006931120612, 360056705468160, 0, 0, 1082307867476008, 629075646251456, 463834633132800, 0, 0, 609283896283776, -599776253056226, 80921212265472, 0, 0, 603659248567844, 22525915004928, 421599319637292, 0, 0, -463521065779200, 428866012252494, -108462664343040, 0, 0, 123238596054240, -281943131417664, -220679911051348, 0, 0, 149861289776256, 381912427709040, 33166848851968, 0, 0, 851777455736404, 213418590085120, 263316854335932, 0, 0, 360758419390464, 130804647465840, -320512310300160, 0, 0, 947888173724404, -191859573870144, 786756177294926, 0, 0, 373442394268160, 465643346373054, 42449814862848, 0, 0, 631405990333764, -62444261081088, -530620329676766, 0, 0, -195592500101120, -188334017300160, 474380660532480, 0, 0, -387757029210798, 149920109702336, -288883799852868, 0, 0, 87454638715968, 69432434475642, 102962622365696, 0, 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0, 0, -60439519789056, 468430113554974, 517641973796416, 0, 0, -76105136095596, 122305848647616, -1599886100580548, 0, 0, -658884179128704, -25313341175906, 368786826362880, 0, 0, 853766576839044, -517912573739008, 1547087136570366, 0, 0, 40511731630080, 1573317639201120, -1045629597409280, 0, 0, -1436607942489594, 839496031091136, -22488486588594, 0, 0, -1029578660928384, 1115807155937134, 67656774500352, 0, 0, 202174826750804, 163692533947392, 439668581829680, 0, 0, -475102341758976, 1426732612211454, 560191396645824, 0, 0, -98525111433840, 53422552390336, 1029461205771406, 0, 0, 2982886227054080, -1060563280571172, 262398148485120, 0, 0, 2267125027189604, -84439711350784, -1764274478570868, 0, 0, 1942813583050752, -1311369129394706, 861160908448000, 0, 0], 'weight': 11, 'weight_parity': -1}
• mf_hecke_nf •

  Column	Type
  an	jsonb
  ap	jsonb
  char_orbit_index	smallint
  field_poly	numeric[]
  hecke_orbit_code	bigint
  hecke_ring_character_values	jsonb
  hecke_ring_cyclotomic_generator	integer
  hecke_ring_denominators	numeric[]
  hecke_ring_inverse_denominators	numeric[]
  hecke_ring_inverse_numerators	numeric[]
  hecke_ring_numerators	numeric[]
  hecke_ring_power_basis	boolean
  hecke_ring_rank	integer
  label	text
  level	integer
  maxp	integer
  weight	smallint

  
  {'an': [[1, 0], [-16, -16], [183, -183], [0, 512], [0, 0], [-5856, 0], [8407, 8407], [8192, -8192], [0, -7929], [0, 0], [-173398, 0], [93696, 93696], [232623, -232623], [0, -269024], [0, 0], [-262144, 0], [-1880033, -1880033], [-126864, 126864], [0, -1101560], [0, 0], [3076962, 0], [2774368, 2774368], [5228263, -5228263], [0, -2998272], [0, 0], [-7443936, 0], [9354960, 9354960], [-4304384, 4304384], [0, -24790840], [0, 0], [-10065998, 0], [4194304, 4194304], [-31731834, 31731834], [0, 60161056], [0, 0], [4059648, 0], [-56387913, -56387913], [-17624960, 17624960], [0, -85140018], [0, 0], [-153003598, 0], [-49231392, -49231392], [-59372457, 59372457], [0, -88779776], [0, 0], [-167304416, 0], [-172339353, -172339353], [-47972352, 47972352], [0, -141119951], [0, 0], [-688092078, 0], [119102976, 119102976], [-196385617, 196385617], [0, -299358720], [0, 0], [137740288, 0], [-201585480, -201585480], [-396653440, 396653440], [0, 694068920], [0, 0], [906185802, 0], [161055968, 161055968], [66659103, -66659103], [0, -134217728], [0, 0], [1015418688, 0], [962073967, 962073967], [962576896, -962576896], [0, -1913544258], [0, 0], [-3120877598, 0], [-64954368, -64954368], [636339263, -636339263], [0, 1804413216], [0, 0], [563998720, 0], [-1457756986, -1457756986], [-1362240288, 1362240288], [0, -1967996640], [0, 0], [3892114881, 0], [2448057568, 2448057568], [5183822103, -5183822103], [0, 1575404544], [0, 0], [1899918624, 0], [-4536723720, -4536723720], [-1420476416, 1420476416], [0, 7771383280], [0, 0], [3911323122, 0], [2676870656, 2676870656], [-1842077634, 1842077634], [0, 5514859296], [0, 0], [1535115264, 0], [640361247, 640361247], [-2257919216, 2257919216], [0, 1374872742], [0, 0]], 'ap': [[-16, -16], [183, -183], [0, 0], [8407, 8407], [-173398, 0], [232623, -232623], [-1880033, -1880033], [0, -1101560], [5228263, -5228263], [0, -24790840], [-10065998, 0], [-56387913, -56387913], [-153003598, 0], [-59372457, 59372457], [-172339353, -172339353], [-196385617, 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[-23550122149017, 23550122149017], [0, -8636213892280], [-62732628945198, 0], [-1489512083337, 1489512083337], [-89711512202198, 0], [-33995478931953, -33995478931953], [-9519145028793, -9519145028793], [-36365147631177, 36365147631177], [0, -28285933224560], [2192009421002, 0], [29757859348127, 29757859348127], [-46033254317313, -46033254317313], [6177137322943, -6177137322943], [0, -58030996850800], [124750357414802, 0], [93418378294407, 93418378294407], [-14280173155377, 14280173155377], [4177403266767, 4177403266767], [0, 40797747527640], [80355572220802, 0], [94347712104802, 0], [-19892461882857, 19892461882857], [-59728871309353, -59728871309353], [98707248211983, -98707248211983], [0, 58068882437320], [-153137463592198, 0], [87535971111263, -87535971111263], [-1594524311273, -1594524311273], [56579574527703, -56579574527703], [4985576867802, 0], [-180303257628598, 0], [0, -311542786085480], [0, -165068133312160], [-215313966939273, -215313966939273], [278786616982703, -278786616982703], [0, -205170755975320], [-159047209676857, 159047209676857], [-140007869581998, 0], [-70788089995593, -70788089995593], [-284952799093198, 0], [0, -359991010845760], [-140031716617137, 140031716617137], [-299888126528113, -299888126528113], [214433006126247, 214433006126247], [0, 371569006907920], [425888727868202, 0], [473944086862202, 0], [393378088647463, -393378088647463], [232821673186527, 232821673186527], [0, -97333684556440], [0, 382848375860080], [-425917526760817, 425917526760817], [358496526204207, 358496526204207], [0, -730888426844680], [-148513147065977, 148513147065977], [38560860981927, 38560860981927], [-411263967729598, 0], [634115560920503, -634115560920503], [-715240745272713, -715240745272713], [-462742823901793, -462742823901793], [-241311535745198, 0], [0, -374681845717360], [0, 447350621276960], [234215056777487, 234215056777487], [-38052568047798, 0], [-12656670587953, -12656670587953], [773543568285183, -773543568285183], [557903577968567, 557903577968567], [101087413375402, 0], [713366306105727, 713366306105727], [514730602885703, -514730602885703], [1133562513594802, 0], [-655684564697353, -655684564697353]], 'char_orbit_index': 3, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 9007336878243890, 'hecke_ring_character_values': [[27, [0, 1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '50.11.c.c', 'level': 50, 'maxp': 997, 'weight': 11}
• 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

  
  {'Nk2': 6050, 'analytic_conductor': 31.767862633686203, 'char_conductor': 5, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 4, 'char_parity': -1, 'char_values': [50, 4, [27], [1]], 'conrey_index': 7, 'cusp_dim': 138, 'dim': 30, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 137623502898, 'hecke_orbit_dims': [2, 2, 2, 2, 6, 8, 8], 'label': '50.11.c', 'level': 50, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 162, 'mf_new_dim': 30, 'num_forms': 7, 'prim_orbit_index': 3, 'relative_dim': 15, 'sturm_bound': 82, 'trace_bound': 3, 'trace_display': [32, 124, 0, -10604], 'traces': [30, 32, 124, 0, 0, 24320, -10604, -16384, 0, 0, -903040, 63488, 988434, 0, 0, -7864320, 52906, 7111648, 0, 0, -32791240, 13506304, 26934364, 0, 0, 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1312475547314166, -301586681299968, 0, 0, -3471888995080480, -1959260736388736, -1151573982604676, 0, 0, -1557802425673280, 1005897665989756, 252237288226816, 0, 0, -352709291328840, 213288537456640, 1022240899611834, 0, 0, 1185813874503680, -768897125164254, 2283311511380480, 0, 0, -232142694048640, -2670843175724768, 1501327507701644, 0, 0, 3331299095627520, 186862058471076, -484936471216128, 0, 0, 4367593159375360, -539271754708992, -2535684666028080, 0, 0, 141046726000640, -383187381688512, -766637896281280, 0, 0, -4099014283255940, 1363500013058048, -1764653751178032, 0, 0, -78294883279360, 921689044300316, 1087850040301568, 0, 0, -877189520689640, -103612709601280, -3371227421371632, 0, 0, 589327522508800, -2059585029047248, 837466134997760, 0, 0, 11255320991748360, -1747601554396736, -1213408559463912, 0, 0, -3272096465838080, 3582145539585724, 122782713118720, 0, 0, -5555354924865000, -93810133036032, -402068364148192, 0, 0, 3725408114933760, 2415309843370826, 2834077632345344, 0, 0, 7450927825976460, -1561549361406336, 849261172610768, 0, 0, 4704964292759040, -2893616803645444, 446761461350400, 0, 0, -8541368875961640, -763515925102592, -1405648572559446, 0, 0, -3246950425190400, -1847696220058880, -3118300950565120, 0, 0, 627997603192290, 1871373616403904, 4043025895024724, 0, 0, 1831270677559040, 2358100107627116, -411859179651072, 0, 0, 4735318259902960, 3356077173004288, 4224820601235760, 0, 0, -1255922823331840, 276168792315606, -2758218493828864, 0, 0, -8689875984688300, -141505333248256, -948224277608236, 0, 0, 1085419781900800, 1014522988457232, -162601979965440, 0, 0, 961950531524360, -973668180033536, -710851792111472, 0, 0, -875592479109120, 399616514478626, 3439460216666240, 0, 0], 'weight': 11, 'weight_parity': -1}
• mf_twists_nf •

  Column	Type
  conductor	integer
  degree	integer
  multiplicity	smallint
  order	integer
  parity	smallint
  self_twist_disc	integer
  source_char_orbit	smallint
  source_dim	integer
  source_hecke_orbit	integer
  source_is_minimal	boolean
  source_label	text
  source_level	integer
  target_char_orbit	smallint
  target_dim	integer
  target_hecke_orbit	integer
  target_is_minimal	boolean
  target_label	text
  target_level	integer
  twist_class_label	text
  twist_class_level	integer
  twisting_char_label	text
  twisting_char_orbit	smallint
  weight	smallint

  
  
  • id: 42575
    {'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '50.11.c.c', 'source_level': 50, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '10.11.c.a', 'target_level': 10, 'twist_class_label': '10.11.c.a', 'twist_class_level': 10, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 11}
  • id: 42576
    {'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '50.11.c.c', 'source_level': 50, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '10.11.c.a', 'target_level': 10, 'twist_class_label': '10.11.c.a', 'twist_class_level': 10, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 11}
  • id: 42577
    {'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '50.11.c.c', 'source_level': 50, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '50.11.c.c', 'target_level': 50, 'twist_class_label': '10.11.c.a', 'twist_class_level': 10, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 11}
  • id: 42578
    {'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '50.11.c.c', 'source_level': 50, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '50.11.c.c', 'target_level': 50, 'twist_class_label': '10.11.c.a', 'twist_class_level': 10, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 11}
  • id: 42579
    {'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '50.11.c.c', 'source_level': 50, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '80.11.p.b', 'target_level': 80, 'twist_class_label': '10.11.c.a', 'twist_class_level': 10, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 11}
  • id: 42580
    {'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '50.11.c.c', 'source_level': 50, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '80.11.p.b', 'target_level': 80, 'twist_class_label': '10.11.c.a', 'twist_class_level': 10, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 11}
  • id: 42581
    {'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '50.11.c.c', 'source_level': 50, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '90.11.g.b', 'target_level': 90, 'twist_class_label': '10.11.c.a', 'twist_class_level': 10, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 11}
  • id: 42582
    {'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '50.11.c.c', 'source_level': 50, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '90.11.g.b', 'target_level': 90, 'twist_class_label': '10.11.c.a', 'twist_class_level': 10, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 11}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 170075
    {'charpoly_factorization': [[[512, 32, 1], 1]], 'hecke_orbit_code': 9007336878243890, 'p': 2}
  • id: 170076
    {'charpoly_factorization': [[[66978, -366, 1], 1]], 'hecke_orbit_code': 9007336878243890, 'p': 3}
  • id: 170077
    {'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007336878243890, 'p': 5}
  • id: 170078
    {'charpoly_factorization': [[[141355298, -16814, 1], 1]], 'hecke_orbit_code': 9007336878243890, 'p': 7}
  • id: 170079
    {'charpoly_factorization': [[[173398, 1], 2]], 'hecke_orbit_code': 9007336878243890, 'p': 11}
  • id: 170080
    {'charpoly_factorization': [[[108226920258, -465246, 1], 1]], 'hecke_orbit_code': 9007336878243890, 'p': 13}
  • id: 170081
    {'charpoly_factorization': [[[7069048162178, 3760066, 1], 1]], 'hecke_orbit_code': 9007336878243890, 'p': 17}
  • id: 170082
    {'charpoly_factorization': [[[1213434433600, 0, 1], 1]], 'hecke_orbit_code': 9007336878243890, 'p': 19}
  • id: 170083
    {'charpoly_factorization': [[[54669467994338, -10456526, 1], 1]], 'hecke_orbit_code': 9007336878243890, 'p': 23}
  • id: 170084
    {'charpoly_factorization': [[[614585747905600, 0, 1], 1]], 'hecke_orbit_code': 9007336878243890, 'p': 29}
  • id: 170085
    {'charpoly_factorization': [[[10065998, 1], 2]], 'hecke_orbit_code': 9007336878243890, 'p': 31}
  • id: 170086
    {'charpoly_factorization': [[[6359193464991138, 112775826, 1], 1]], 'hecke_orbit_code': 9007336878243890, 'p': 37}
  • id: 170087
    {'charpoly_factorization': [[[153003598, 1], 2]], 'hecke_orbit_code': 9007336878243890, 'p': 41}
  • id: 170088
    {'charpoly_factorization': [[[7050177300433698, 118744914, 1], 1]], 'hecke_orbit_code': 9007336878243890, 'p': 43}
  • id: 170089
    {'charpoly_factorization': [[[59401705184917218, 344678706, 1], 1]], 'hecke_orbit_code': 9007336878243890, 'p': 47}
  • id: 170090
    {'charpoly_factorization': [[[77134621128941378, 392771234, 1], 1]], 'hecke_orbit_code': 9007336878243890, 'p': 53}
  • id: 170091
    {'charpoly_factorization': [[[481731665709966400, 0, 1], 1]], 'hecke_orbit_code': 9007336878243890, 'p': 59}
  • id: 170092
    {'charpoly_factorization': [[[-906185802, 1], 2]], 'hecke_orbit_code': 9007336878243890, 'p': 61}
  • id: 170093
    {'charpoly_factorization': [[[1851172635958234178, -1924147934, 1], 1]], 'hecke_orbit_code': 9007336878243890, 'p': 67}
  • id: 170094
    {'charpoly_factorization': [[[3120877598, 1], 2]], 'hecke_orbit_code': 9007336878243890, 'p': 71}
  • id: 170095
    {'charpoly_factorization': [[[809855315270766338, -1272678526, 1], 1]], 'hecke_orbit_code': 9007336878243890, 'p': 73}
  • id: 170096
    {'charpoly_factorization': [[[3873010775051289600, 0, 1], 1]], 'hecke_orbit_code': 9007336878243890, 'p': 79}
  • id: 170097
    {'charpoly_factorization': [[[53744023191102685218, -10367644206, 1], 1]], 'hecke_orbit_code': 9007336878243890, 'p': 83}
  • id: 170098
    {'charpoly_factorization': [[[60394398084663558400, 0, 1], 1]], 'hecke_orbit_code': 9007336878243890, 'p': 89}
  • id: 170099
    {'charpoly_factorization': [[[820125053318790018, -1280722494, 1], 1]], 'hecke_orbit_code': 9007336878243890, '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': 3, 'hecke_orbit': 3, 'label': '50.11.c.c', 'level': 50, 'portrait': 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PmMVwWe9Jhd8Dl+QXB6LuXsckpQ6fGWm7u851YIZJPDZxqcm1dcXMyYX044t2Q5vmS5ef8i//CHWkzVJzl6ZpIzF0NnKRCWA8cTxhorvOvOhCMnxlns1tixZaO5+bpNv7dhOvjJ/iBr77v2B7/dkPgTvf5MA/z8XJuZsYReJH+utXz0zn/+i1+R3Wjhzg/d0dJn5iboR4rnD8f0kg53Xl1HEbLUMnR6KSutlNkVy9FFmJpo8bMfWebmPVXOzU9ycbHK7JJmftkyt5RyfjFjoZPSnBhw1zVdbrsCfFkhUAHzKyEXlzRzK4JeBGlqCH1DLcwYH0sxwJm5lHYXdmzwqFUirBUgfLp9w/aNEctrGqyjImtdiFKwWFZaMVtmPDp9hVAWYSIaocf2TQPWeoIzs5rMaCYbknooCDxIU0EvksytSC4uW+ZXU4JgAF7K7fu73HmVYLpRYXm1wbn5gNklmF9KmV9JubACJ5YtN+1f4p99ZJWZRpPTs5PMLlZYXNW0e4LltQzPa3HXDT3anUmef03TjyKOzSb8Lx9JUyG3PlnZ9CFz89W7nhz01T+YmEr4s6y4/Jnl4OeOfpStO+5k/m/8r//yS1997O8+/ewDl6ustfPMxa68/bo2V2wXWOvTqPg0ayG1ioevJSABAdYiMfgSLiyHPH1Mc83lK1y5vU81BE9LfE/h+5paRVL1JL2ux5HTIV97wefMQkQ7TThyLmLD5ArvvWuVay7vcNMVLU4vpSz1BNVgwMlZS6td4+rLJGuDjEOnFfWq5uAZ2LPZMogzBpmP1gnjdTh8LkDpDE+maA/6keSWK3r0e5JrLs9o9zPOzNbZtVFRq8asRZaZZo/VbpvfewReOpXx8qkBOzYvc+2+NuMTMe+6vcP33mvZvbFOljQ5dWGME+c9zs0Zzi8knF/IOLkgOLuWcN3eJf7ZRzpsHBvn7Pw488shy23NWkfS6hr6UYYxmpVWjRPnJOfmUl4+YwlrXa7ZaeXzB8XOcxeO7GqGg1s3bN1cCfyph/7Vf/ptHvz8H3y7IfOGrz+TEfzg839IpfJm1ev+zj9ZXFr5R499c0U9dyRGe4JWyxLrNn/3Q6vsmhnjzMUmra5HnEiiRNDtC9o9WOsY1toJK+2MpZbl3JpAVwbcvn+F7783ZtdMjbVug4WVCosrPkstwUrLsNwyrHYM7b6hHVl6g5TJRsL2DQYQBJ7l/IKHkAE7ZhS7Nls2z/SYX404cKzOjXss1coqrx6foF6LiWOPyXFDfwBXbh/w24802bctJYosU2OSJOtTDwMOnh5Q8Wpcvzfl5ZMx88s+WyYDdm2C7RtjlEo4vwS+ZxHCsmNDynhd0ukHdHse7Z7HSluxsgbLLcNKK2OplTHXguVBxvYtXb7/viXuuEIT6jFmlxosrQYsrWmW24JWx518vYEhSSxxCq2+5eSCZfvWNf7OBwfYdCNLawYlLYfP1hnojdnMzPS/vHbr2/75ycUXsr/+l9737YbO615/pgC+NP8Snl+ptJbPbH/51ePfd+LU3L84NXuCW67wmJ0f4/g5mFtKePmsYXyqxT/+kRWu2FJnfrnBWjeg29d0eop2T7HWgVbHsNZJWe2krLYtcy3BbNeC6PKBu1u86xbDZZtC4rjKaitkrevT6ihWu4JOTzCILHFqyTJQ0hJ4UAkszYZlZiJBewNOXIx55XiASWu849YY7a3x/KExdm6CLz+TcvfVAQutPqFWpFnCxDikiYf2UpaXq9x1Q5svP1Vn1yZ47liER5W332JIRZ9XTmScOh+ipc+Gcc14TVAJBL4vUAJSA3FiGcTQ6VnWuoZOz7DWMyx3Lf0sY8fWHu+6rcUH7ozB1FleG2NhpcJyy2elpVhtw1o3o91N6fQN3b6hN7Cs9iXnW5a9O1f5xz/cYro+ycETU1xYVBw/l3FuucfVl8dMj1+GX9v4v2/eedXv79u99WyvP+jfecOV324oDV9/ZgB+5OgxqrUt/trySz8+N3vwl77+5Mvi/MVMLrYy3n7HEns2jXPwRJOjZ1KOnU94ZRa2b1nhn39kmWsvC1lcHWO1HdLu+rS7HmtdRasraHUsrW7GWiel1TWsdi0LHcHFlmG82eOtN3W4/YqUHRsUjYpHuxMSeBJQxKnEGIGx0BsAwjBeH3DsgsXYmAefqxH1Kly+xeeOa3okZo3HXmhy/R6PY3NdWqsNbrumx0PPB2yYsBw6Y/nr729z6HTAhgnJ115Q3HGlYqXX5uS5Ca7fG/PYK33SqMrt+312bxvQT7t89XkFmeDEeU2jqtECen2JsYLMWJIUkAbtG1pdS62esG1TxJ1X9njrjSmTtZD5lTGW1yqstn1WO5rVtqDVtbQ6Ge1eSrtn6PQtrR4s9STzbcM1e1f4px9ZZtf0OEdOT3PkbIUjpzNeO9vnsp1t3nlTjbklTSuSZnrrbfa6q678a3ded+VvnL4wH++6bPe3G1LAnxGAZ1kiB/3+ex975AuXW7q/8OQ3n/FWuxUqnubl4wmz3S7/8IfbBHIj33wl4Pi5Aafn4bU52H/5Ev/ixxe4/rKAtU6DpdUq7W5Iq+vR6mpaXUWrB52udTeym9HtG1o9y2JXsNiFJIu4dk+fjRMZ3Z7lnbdF7NxoSDOJlpY4gUcPhJxdCNk0nvLqiRBMlSu2Km7YZwjCHs8f67G4VOOqnTUazVWeetnj5j0hy701VlcbbNxoeeaQ4sNv7vLsIc3WGY+lbovVlQluuLLHU69mTFSaXHV5l4VWi2dea1LRNW7aZ9m7fQCyy4FTgpmJhPnFhMcOeAwShZSQGcvOTTFvvS2m01VsHjfcsAfiuMpKq8pKK2Ct69HuKVpdSbsL7V5Gp5u5r/n1WO1L5jqClX7CLXuW+Kc/1uLqHXWOn5vm1GyNI6cVzxweoKtr/IMP91lc3MxLR0N8r8N8W3Dl1XcmY4H63979rncfr1QqX/B933y7sfVt18Ft1iNO+h/52uPP/tuliwcn0v4SjWoDazXGGDZPCuZbIU+82ufeq7toFRB4kmY1Y+eE4OCJKf7331C87/ZlfuBNS1y2ZcD8SoMwCKmEPtXQo1bRdCqSet9jrKbpDTK6/YwNkaEfWTqDgJXFkPPnLHFquDCXEgQWEPjKoqWg11cIPNKe5rqdgt2bLdu39IiyDl95VnH4+DhvuzHghitX+fhXLL6osnNLj5efUmxpKqYaPUJVIU48FjpQCzVbNwheOhxzw94K916/xMe+2Mf36rzlVosX9Hj4mZgvP13jtVMVLttcZeemjOnxmF1TCVfvzFDKoJUFLNUgYLoZECcenZ7Pq8c8ugNNr6/oDiTdPnQHlm7PffZOP6Pbt7T7ltYAlrqK+TVLpdHmr7xvkffdlrB/R50Li03Wuj6DWJIZi/IS7r46RWTjXFgKSDJLnIREA3j0G897u7bW/u31V42vbNx6599ZWel9bGKi+j8uwNOkQ2bsX5o7+42f+/rXvz4xtzLP++4U7NgkWW4FzK9orPW42sCxExMQGazNUBKqAUzWDMZKDp2Y4MWjIccvLvDdt3e566o+4/UGy+0qa+2QRt+n29N08pvdH2h6kWYQWQaxIU4sSWJJM/eOUx9rQCqBpwWhL2jWBeN12Dhl2Lqhx9R4iweeh8df9JBmjLfd6HHdFR2eeC0hHjS44zpBq99nYbnG7XsNU80eFR0wSBWL7QRlBNft1VTrES8cCbnnhjFuu7bDC0cU2DFu3O/zF9+zwkMvxXzt2RqHzoZsn1ZsnKgwXq8yVodKAJ62KAnGwqFTgiwTJKkgTiFKcJ8xyhhEhn5k6A0MvcjQ7UM7gsWuZLELkRnw5utXeM/tbX7ofksUj3FxqcFqO6TX12SZuwb3XRewd8skr54ImV2EhZWExdWM5Y6gVo/Z2Jjj0UcHE5UZ9X++/z336dX24D+PN8L/8QB+9Mwcp+ejv3j8tWd+7tSRR2amqwMOHK3x1Zfa/OD9s+yfrDDdHMfXFZT0aVQU3b5FK4tSDnT1EIw1KClY6Fb4vUe28vALbe6+eo0P37/GNbu6TDWrLK9V6fQDen2P3kAziBWDSDGIBVEiSVJBmrqj3nm3XFKpNYQ+VCuGiXrClpkeKV2OXUj4vcdCTp6r0Qwq3Lxfc/s1bZ452uLBbza4dU/I9k09fvsRgRIBjXrCWjfCWFACphs92h0fk1Z4790LfPLLVXbPh7zr1h5xssxjr0ySZCG37J/hXTe32bOtxcMv9Hj5XJUDp3y2TkgmGoJqIPA99xBK4Yo0xoIxliTNH9bEEiWWKDYMYujF0BkIViPBSgfQA67bu8YPv2WNu67KmKxXWGnXWW1XaHUD2l2PfizJTPG9Qk5dsCy3LBcXY45dMMx1UiaaHd53S8auzWN89akY/9xDM3u3ZT93x503WGvP/ZoQ2/7HAPhnPveb3H9DnXbv8R996LnuL3zl0Rem7ryiy6apBns3w8Hjdf7FGcV1ezu87YYldm+bIklrSKkZRIY4NQhhyIzEWIMQoKUlUIaVvmKpNc6nHq3x9Ktd7rjW3bjrd7eYzCqkaUBvENLte/QjTZwoklSSZu4GGisQWKSwBL6hGqYEfozvRVxYjvjic5Lj531OnR9HmYDdm3yu3KW48Yo2KljklRN1tjSrXHUZbJxeZaXd4OotktRYHng2IOpJmrWUt98y4AuPJZydq7Pvco+LawMOnvTYtmGca3ct8sTLHZ46KIhinyt2TXDFtoArtnY4cXGF4xfg2cNVjp2sUdWCQEtqgSX0QEqXVFnrHtY0gziFOBN0I0F7IGgnEJsUYwfctKfND7+lzd3XZGyaCOgPXCLa7gZ0+j6dvqbb1/QHkjgRDGJod13f6Eor4fhshq71+Mh9LW7crVCMc/B4neW1BH+wwNrcH8488OW5X3j55GT6c//hgY/vnDrDh3/oJ/78AvzBL3+aL738JGl6ww8N2md/8eK5uWZnLeGpI4Z33BSxfWOVKPY4PSd48KmA2fk+77s9oRJYKqFECIVKBFIKhBBIIdDSoJXB15aKnzEWCjqRx2pnnE8/3uCRAwM2jPf4vvtaXLFtwKDf5apdlm0bFVHikWWKzEhsAW5p8HTGmXnLqTnBWt/wuSeqXFgax8Ye46Fi86Rmx0bNZVvgqt1tjFzio1+osbIyxq1XaK7a3eLhAwKResyMS2rVlF7iI60EK1HapzUQzK8I9tsq993Y4ckXKmye8rn1qgn+wnuW+I0vd3j2SI3uwGN5rc6uzRX2bepxy94O33NPh9mVFT73RMByL+DMRY8LF3w8JZBSIhAYa8kMJMaSpYbxyYRr9veIooQrtkV88L6ImTHFRD0gSUJmFyr0Bj7dgaY/8OgOFL2BojcQ9CNJFDvKE8eGQexyl+mpjPfeG3P9zipzS2Mcn61wZs6QEHPf9QmtVcU3Drw0Nb1h6hev3LM5ibtf+53f+p0/5Id/6Hv+/AH8o7/+Sf7JJy4X/+SHuh86emr2V9PoteotVwk8NcXLpwLOL0C9Itgy7RF6go3jkiTxePW4ZtOUxNcuOiklUUqg87eX8+TAM4SxpeJbGmHGeEXQjSWduMqp8zX+1e9MgEkRacqN1/TYtTEmTR3FsdYVcaQQSCXQns+Rsz6HjofUQk3dl0xVBdOTkpkJzeZpxY5NGft2rJGJZf79ZxqcOdvk1r0eV+zM6KcdvvlKQLPiMTlmadZjqhVHhYyRtAaKla5luZXR6la466o1njvU4/BZRbMRcsv+Jj/x3mX+4x/BC8drdPuWtY5mfqXBxqkqM+MDdkwO+Hsf6tGotnj5FBw5J/E8i1IWIQxg3f9ZSFPYuTHjjqtTssQjSQOsrTKIPeaWfHqRxyDSDCJFP3L0rR9L+pFgELnIHSeWODEkqSFJLbWK4PLpEJ2FvHREstJWLK66JHbrpCIdjPP1g4qXTnTZn6w2p5rer1Yb70t/7Ae3fGrv9k/a2+75gT8/AP/YJ/6Q6ckp9eF7Xv3AwSNnPt5uHw4zkaK8Hndc67FtY50okWRZhpKSWtVjOtJgoRIKN6JBglagdQFqhaclnmfwY0MQG8LEECeGKLZ5kmXc11QwSCRRFpBkIYeP1zhwGDJrcdB23NiT4Cvn+agHcNUmaFRgrCYZrysmm5qZCdi+MWLT9BqJXeHff2aMEyfHuOEyxWVbJbu3rvL1gynzy2PcuEsy3jCEfp9ABlglSDOJsJY0i1nthswve9xwRYXr9nZ44oWQDeOCaljnhr2Gn/7AMr/4R4aDF+qsdQ1rHcXiqmaqWWO8UWG8MUajmjBdS9hxQ0zgpXg6RakMKVwyYXEPVZIoFhY1SapIUkWcKKL8HceSKJFEsWQQS6JYuPwkhigHdpwY0pzXG+Pux0pL8WokwVoGUZorM4bVjuDEeTizlOBVemyc6nP81KvVa640H3/8IWuC6vbPPPbQp7N73/K93/kA/7v/5+/x2Gmpdq6c/uCMvvixI6fmw1dON3nlXMRLJy3/y4fmuXZPj9V2jbWOOyLH+ppBIjBGIIVB5fYSYyDNBImXKwWJIEgUkScJfaeGxGnmVJG09M4gzSxZZsgMjm8bhuAWApQELcHzINCCMBBUA0mtqhirSsbHBDMTKTs29qjX1vjMkzGPvTLB2lKDa7Yrdmzy2LNtQCbWeODZKjVPMz2uqFcHvHIC13G/zdKLFNfuSbhmt2XuYsbiqk9/UOUdN3f4xst9jl1Q1CqSwG9w9WWGf/6jyzx6sM8XHp1iuW3ZMZOx2tI0G4qxmke96lGrWMLAEPiGQGdo5aiWlO4eWIsrWBlBaqS7hqkgSaV7J4IoccpLnIhhYhrHJo/aliQ1+TV0iSxAL0qQ+X2JEkdbugNY6wsWe4bJyQ5/60Mt7r5K89qJCs8fuhB2evoT997S/bFbb9F/MH/io9mG3X/5Oxvg91xuZD9q/8Arx2d/edYcDu+9OWBmosJ4VfHSEZ+f/13J229q8123d5hq1llpV+j2fQaRIslGlURrBZkRpKlwNygRxKl7u18rkhTiRA4VhCLipJkhy5y6kNlcKclvkhACKUFJgdYCXwsCXxIGklpF0KhamnXDhomI6fEOqV3jU9+Q/MaXJ5kJQ67ZLti+yWPnZsOOTat85puWlZWQKzYqxhtQrybMn5YsrAb4uyBKBNNjkmYTjp2yrLYNc0she3aGvPnGDl98PGSyDoHvo2STq3cL/vK7FvDkAp9/YpzXLoRsaCfMNFPGaop6RVGtSCqBJvAh8EBrpzZJAVKUQI57sLPMBYrMMFSQksydesmQhuTAzgGeZq5imhnH7a110qSxljRz0b4VCRY6AiNjvuvuZd5xY8T+bU2ePDDFC4c1r5yJ2bvtULhlauevzi7u0Ijwd3Fx5jsT4F/68h9hMvOjJ08f+jdbqhcaX3spxA+77NsFa52Q3kBw4PAkTx4MWe7O85PvWWBHrUqnX2OtE5Ak7jh1N0OSZUX0ySNPDvC0AHoeldwNgyxzSkJmrIvYxhY9nDm4HcALTu9pB5AwgGpoqFdSmvWU6WafqfE1njwc84kHKxw51WTnmMfujbB1o8/WDbBve5te2uaZQw0qymN6XNGsQ7MeMT6W4vsaIdzD1Y98VtoJaz1Lq5uysOqzfWOd265Y4MFnexy50KAaJHjKR4gxdm9R/Mhblrhp3wKfeLDOM682We5qZhopzWpKNZRUQkXgCQJP4nkCrSRKkcuHDuUW18NqDGSmOBFNfp1yaTGP1C5ik5+AdvgQuOvpfDBZJkgyQT8TLHcla1GK7/X4yXct8dPvj4mjaV47OcGJ84rXzvW5bEeXW/b5fPHr5xt33WL+/fadN/kPfu2Lv/G2t77nOw/gWdxFSPmXHv/6J3/u1OnZyV5q8YzmgSdCDm5MqEpnHto9bTi9UuOXP7+FI2eWefdta9x9dZ/dW0NW2yH9yCNJNWkqSTJFmqohwN2fyRzYObgzQZqRS3/kkVvmp0AOblekzCO34/aetvieJfQNlTClHqaMNyI2TbWZb/X4pc95PPDcBCurNS6fFmyfEWyZ8dk6I9i1eYD21/jkY5qT52rs3SAZr0vGahlSRlxYtARaIoU7ieJEs2OmzbNktHuK1bZlfqXC3q0h33Nfiz942Of0fICnE4TwMLZGkkpu3LXKjh9s88ALPX77gQmeP11jy7hgqpZRCzNCXxB4At+TeFqgFS5xlmLoybDYddE3y2wOdDsEepqNwJzmFM+9xfBrnEE/E3RiQadrmJpo896bVnjfbX3uusqj15vm/MIYqx2P8XrCd9/TZtsGzdJyhRuvbLOyvDgZqe4v/MD7v1stLHb+88x0/TsH4MfPrXF+WfyFx7/5yM+ptddmts9UOT4r2TBu8VVIe82gauB7MF5zSsZsK+ALT27kG6/WuG73Kj/wpi5vv6XLeCOgNwgYxA7oSaJJMzlMlgqQp7menWaumpcZMeLaRjBkJdZFbilAKac6eMrge4bAz6gEKfVKxFSzSz/p8/Arlt/7+hjPvNpk3Pe4eotl04Rkw6TP5mnJ1g0xl21Z5eXTfT73jWnGlGZ6TNCoCRrVhFYv48vfDKn7FiEcsPqR5r13RHzpaecBaXUNC6uarTN13n9nl2cOdzh0zKcWpCgpHMhNlUHsuP6PvLnF3k0LfPLRNk+91uTsaoWNDcFYaKn6hlAbfA+0EijpHmQXyaGwH5mcqhUn2ygqW1JDDnIH5jTX0mMDg9RF7H4CgzgjCHt8z5tW+P43tbl2l6BZrbGwMsbCSo21tk8US3xfM15tMjvvLL1ajnHmgiCefXHmLbf5P3fFVW8z1i79uhB/+hNy/1QBfu5ih63TLUB+5IsPPvWvf+U3H57cPjPLj77d4/LtDWYXfVodj27f0o8Ng0GGtWAxSGEItGCu0+SBF6o8c7DNXVet8r1v6vGO23pM1zziyCdKcqCnHmk2AnmWSdKcxhQANzaP3GbkKRPC5kml83FobfC9jMBPqAQx9UqfjD4PvSD5nUeavHpqDJEE7By3bGpappqK6QmfjVOSzdMJ2ze2ObfY4T99oUYaVdi6VdCsaxo1aFQThBfT7tdo1i1CCKyFJJVMBIrUpHQSn04vY7WtuLBYYf9ldX7yu9b4hd8NOLNYQ6skfzA0aRoyiCUbJwNuvLzNNZd1OXjmAr/39QoPPt9ktlWhFijqPtQ8i68tnnKFMCVzSla6Xwawxj10mRFk1tGO1OTANg7YgzxaR5klSi0miZgI+7z3vjW+701t7thvqeiQTq/B+YUaq+0KKy2flbZHuyfoDTRnZjXdQUarm3Bx2bA6iPnBt52jM7c282K/8a837bgjfeGV2d+8YX8VoZp/NgFusx6Lq2Pve/XVp/7j8vnPN+7bn/DIgTG++NwaP/a2i8yMTzC7WGW5rWl1NK2uRCoBpPnlNngSKn2PpcEEX3iuwuOvdbjl4TY//T0d9m8bMN1UKKmJU4848UhTTZoqUqNycMu8yindw2PFsPzuIrdBKYtWBq1TAj/FUzHtfsJiO+HffSbk1MI4LxxqYo3PZEUwM2WZGhNMNhSTTY8Nk5KNkylbpntMNld54EXD8681uWarYLwuqVcljaqhVokRXkQQaLRy399ayDJJP9L0BwmpEXT6hk7XstL2mFtucPu+LrftX+OTXwuprCi0TBwgrSbNfOJE0o88ppohN+3uctPlXZ69d5Yzi5JPPNhkYa3K+eUAX0lqnsAvaJh0iecwkBdUhZyP2xzcxlGQKIPIoR/SBKkiNo73uWZHl5/+QIebrrDUAp/+oMbSWpVWJ6TVDVltO3CvtCVrbWh1U9q9jNV2xoUVWB5E/Mg7OuzbMsbvPaBpJV+d/Es/KP7jDdfeutpu9z/3p4nJPzWAH3jlFN6WGXXh6Y9dfubYscbJs6vs2+HT6VV5+OkmmVngr79vlrH6JLOLdRZWAnxPIYSXc8IUa10ZXglLqCRrXoW1OORrLzR58lCXmt/nx97RZutkwo5Nfe64uoMnFY2aBlSpKum80taWIjcWIS1KZESJxZKCTDl4SvLcYc0Xn6lz8GydOK1S14rpimWiZhmvWqeDNzQTY5rJpmDjRMrm6T6bpld57NWIj35xhk1NzXQDGjVFoyaoV1MqQcSTRxWDWOPVyDvpBHEqCbXi+r19nn6l6YxP/Yy1tsfSWsD80jg/+a55zi8t8/RL03gSEAkGSFNNnHhEsaTb14zXQ5qNGrft7XHvNT1+8E2LHD5n+NIzIc8crnD0ZI1UaKJI0UsUSkiEEJcknnlNwBpSY7HG4ImMMT8msAm3XN9j16YB26ZSPvz2ARVPUw0C+lHI8lpArx/QHQR0ej6trs9aR7Palqy0LMtrKauthMWW5dyqoJUO+OvvX+b+a8d45LkmJ+Yits2s8IdfeLzx6LNzl//dv/JhtTB7MpvZ/KfTuf+nAvCHHn+VuVbVbz357I/Pz5p/0+udJQhCnj8SIhBsGpN87rFppJzjr71vnh2bUgJvDClDjNF54uiyd5tfcSUNvhJUtKCb+nRTj16nwb/55AQmTdgw3Wf/9gGTYykffHOf7TMxSa6dWySUIjc5/5TSIKTg049WePlEDaE1Z2arXJivElYUY4GgWbM0QkMjdJXVsaqiUVeM1zWTTZhqpmyYHLBlpk1m1/j0Nxr0uzX2bLU0qop6VVKvGOphiufFPPB0SNSTeDOuW7SgKLWK4h239Hn8RUM3knT7Ge2eZq2jmVuucuWuOh+8u80LB6ucWamjpAGSnC97JJkiSlxhpjvQtLo+9UqVWiXiyq0Dbt034NxCi9MX19BexoGTmj/4ehWhlAO3kOtvonUnKNaSJBk7ZlK+7819phqGfTssGyYhTXwGUYMk9Vle84gSj0Hs0x949AYenZ5Ht6/yripYbacsryVcWIbza4KYHn/tu5f4wJ0hR880MFZw0x7J/LLi4vws1+6//N8cO/xsb88VW3+jv/pKXBm/5s8GwNdWTiHV/N6V7slfSta+LlvdBheWNBWt6EWWRgU2VBW///BGZpcX+e7bV7l1X0zgTZJlNed7iBRR7CQra3HRVkKgLLVMMEgFg0zTyzwSY1ns1fn6AYMVGZ99JkUKdwJgc5GWXCxxWiBCKISQSKVIE400Gk9L6gHsmrbUPEM1MFQDqAaCWkVSrygaVc1YXTLegMmxlOnxiM3THTJW+Xd/GPLEKzPsnoTxah69q5J6JaVaialV+1QqVQIlUTLn4Dg6kCQeg76gH2V0IkV3YFzjQUexWvM5Pz/GXfsjfvpD8/zbP9CcXQsQwmBtgsksSer6UAeRA1W9r6mFPtVKSDWoEgYJ9UrMjXtifC/h5j0pP3x/D63SvAhkEMKuJ+XWYo2jeEIoAl+DVQwizdKKJkuVy38yl+xHiSKKNYNYDy3IvUjRjwXdfsbyWsbJeTjfyrj56lXef0eLe66qsLDSpNPz8D1NtyfYPGVIFwS/9dnHZLWS/ZKi/Y1Wd/DqnwY2/z8D/Myh32brJlN5/JnXPvDQq4eF9FIu39xhqjHGhUWfODZUAsHMmCG1iq88uZGXjrf44be0uHnvKmHoI6VCydxT4rvCjgC0cEmSn0LFsyOZyghiI0gqmsxqUhOQ5smSpaRzk1cpBWghXKVSQVixhNoSqozAg0BD6FsqgaDiS6oVSTXUDuA1QbNumGikTDYjZia6bJ5Z5qNfNPz2gxvY1lRM1Q2NmqJeVdSqUK24OYUXlw0nLgaEvrPf5hgiM4JBrNm10bBxakB74NMf2DyKS9Y6mnolpF5t8sP3L3Dy4hy/+rktaKmxGDKTkRpLkmqiWNGPFf1I0gsl1YGmEnhUgoxWx+UYvpfh6QzPy9DSNUpI6cr5In8764pwb+tOwlZHYnLAZ0aSZipXq1xynySKKJVEsXIW5NhVRYuiWi/OqDT6fOjWNT7ylh6bJ+qcuTjO4mqF7kCSJNDtW46dF/SyAft2DDj46kvi8In0AzbYdeJf/Yc/6P/MT3/w2wvwV45X/RcPL//99tqZvz9WieRLx6Z48XCfK7f3aVZ9Al9SDRVpBghD6MHF1hj/8Q9Drros5epthopwkVtKV3AJPMeZpRLo1OKnhXRlh6X2zEBmyfsSR1zSlkKSq+S5xEpLg5aglXtonJ/FOt1YC8JAEvqSSqCohIp6RVKvWsZqGc16ykQjYmq8x/YNyzxzNOKTj25mPAzYUDc0qsKBuyKphYZamFKvRjxzBA4crnL5tM1576hs3o8UN++z7Nne59lXm/QiS3+Q0e3rHOQe1bBCJWzy/fescODoAk8f2ghWYUzm7LCpJU2s85XELnGtDiyVUBH6hsD3CPyMQBu0zvC0c14qZXJ/zwjgoigOFNfROvuwsQKT24kdyNcX3OJEEqfOy5IkTomREpoNxZ3XGfZf3uGaXZb+YJojZ2qstgNWO5peXzKIIUkz9u7osneHpdtp8tzRRE5Onf4nN19b8yeazX8JxN82gF9Y7sk06f/si4//+t958dVlX/uS3dskcwsNzl00sEGglKRacVZArdxU1rGKpRf5dFcCTgNbJtO86uaMVJBH3sxF3FTniXyp3G6KiG1H3ojSPSoBfFTQUbJwIIKn3Ynh59W/wFeEgaISCKoVQb1iaVQzxmopzXrE5FifzdOrPH2kz89+bANnzze5bMrQrEKjoqhVFLUQamFGJUzwvQGtgUVJhafcw1u8MiNyLd+nUUnopYZe5HzWvUFGpydpVRTVTkAY1Nm5MeGf/3iLf/pxyTcPbcCiMNaQZYY0S4lTQ5y4KNoPJJVIEfqSwLdu2q02eJ7T+13DiFOSpChAnsunpXtrEbmEKPImClmqL+QFtVTkOnleSc4cQ9TKEvqwedpnsjLJqfOS3sB1VHV6ik5f0u0LsswyVvfYOtVkfkEyuxQxMx5jk3n/4NHJ/+1v/bX7PWtX/3chxv+ry/n/1QDvdtoYk/zL3/zcY39r8dzRcNc2gzCSpTXF9g1um5jWLmpppXJLa0YlyKhXXPQRwgHNIVMipUVrCcK4aJ7ZvExv89KyHXpTnL49itzDlxhRk8JEJYUDt1K5IzG32HpaEvhuAFAYuJEMlcBSCw31akajmjBWj5lo9Nk8vcbTh3v809+Y4sjZCXZMOIWlXpHUqtJF74qlGmZUw4Qki/mtr9WRSuFJixIjmdBYkRelPH7kbat89fmYThzQywHe7Ss6XUUr0IR+QOA12Lct5V/8xWX+8W8Innp1A8ZKMmNIs9w3knftRKGzuwaBIPQc5fM9ia/tsGKrlUHmOY6UFiFB4u5HqeSZ+1dyqTUvmhUFtMyIoaeleGeZ++/u/92ytObT7nlI4Twv/UjQi8SwVTDL3Ol6/JxPFFuk0pxbEFg7YIs6HJ45+vjf3n75O0W73f0HjUbtvy/AZy8cxlp7Wz19uvLSrM+5izH1wJWKJ5uCes0OLZtpRm7HFAzyZDJJLcbaHIz58Y3AGouSrsE1UwLP2LwiaV00MaOoXa68D/GdA1wKENLND5Gl6K114TuReJ50/g1fEAZu5kk1yKhVHLgbtZhmo890s8Uzh3v87K9PcPDMFFvHBZO1EjUJNbXQ+VcqYUolcCOTLyyP4ymBkiaX5UZJZpZJ0lSxadySpgntJKQfWdc7OcjoDCSVniL0PXwvxNNjXLE15V/8hUX+4a/B06/N5JHUkGSWJM3ySG6IAkMYSwa+GlIwzwNPu+jqfCoWXQBc5F9ZXwwq075h1dOOqsMFXUyzkkMzj7WpcfYJ0XfBKElhELv+0Ch2nVmFoCAl+J5iqqaYmsioVRRJpPm13ztQ+fAPXH5b+fT77wLwRx56iPnFser82f/k799xnoqe5uT5Or1IMFaTTI6lhL5xVkorcreZ8xj3IydtFZbWLMuf9yJi5PRDWYs11hmlLFgzArXNy8z2kp+rHLkLl6CUYghuJaXzkw/pCYQeBL6hEloqgePP1UpCoxrTrPWZGm/x/LEB//g/j/PKmWk2NxXTNcNYRVAPXX5RrQgqoXs4XKk/5ulDgu7AJ1T5KSLdQ1xExswIklRTCxW3X9XhmYMNeomjKf0oo9dXdAJF4Ct8z8/5c5Mrtxl+/icW+JlfgacOzZAYSWJM3ixd6sH0JYFvXPTOvSmeHjWKaOWsCkUZX0pHU8pYKs7WIpAYI0o+FoYRvfh18R4+GPmfJ6nJBxS55ucocb8fKmZCEPgGYxRjscfFeY8TF1NOLi+S6j/y/8YPfU/14Ye+2rv/LW//bw/wbuso1cam5sMPfvU/feOAd89zxzw+/JYF7r8loNML0UrmPmQ75G5RkQTlbVBOFhTEsSBJyYsLJU5tRiB2gLdvDOxhiRJEzk1ctTJvacvB7QAOKncMetr5YHzPEPq5wSrIqOT0ol6JGKv3Ga+3eel4xD/+z+McOD3DxqZmumoYq0AtFNQqimpFUR1G74wwSKlXBzx2wGetFTI+PiqTF1HRmLz7PVPMTCruv67LY88Z+rEYtoM5kEtCTxJ6Gk/7aF1BSsOV2yw/9xML/MyvWJ46MkNiNElmiHPnXxHJg0QO3YW+lmidm7CkQGkxpG2jXEUMf851kbwAOKMHtKCIWQnIwz8fgt+5E6PEAbs3yPLP5gaQxilD9Qss6mKKVJZOlHHV3i7/x/t7LKyO3fP8weO/ds9b3vtTBw6dWrvuyl3/bQE+Pz+Pt7zyM3Nzh36g12ojBpP8+pd63HpViy1TXe67NgWr2DBh892OmjTTRLFPt++z0g5YaXkoqegVIMxEKWl0UcIaW4oEeSKZg9vmV71sHipuiMijZZl3F45BrXD+DG3xPNdYHPqG0M+ohCnVMKEWRtSrAybGWrxwNOLv/8oUL53cwEzTY6aaMVa1Objz6B1K1zMaGMIgpRrEpCaiEwcIJfHUKA8QolAncPQidW15NX/g7AJxyHgB8kFGz1f5ShSJpzWeLhbQWq7eafmFn5rnf/1lw1OHN5AYTZQJ4szkUVwQJobAs/iewNcmP72kO83yE81dH5HTFDH8Ob/V5pIiwFh76Xv9CWtMbsFNDL0oc36bDix3BO0IBilEBvqp8wJtmkgQNuPea3psnrTceYUmSTaxuNBhsXP8BzYefu1EkiT/8L9pBO+2zlFtbN3xtS/98jXHziwwPVXhBt9y7FyVLz8eEhPzia9FVMOId9/WY8tUTJJI7rwqoeJrAhOyJaji6zGSNCRJFcYy7ApZf/FE6XgU6/l2yRa4npaMjluZd+go5SKo1hZPOWD72g7dg6GX5bw5oRJGjDd6jNU6PH0o5R98dIoXT25gekwzXckYCy31HNyV0MmJBbgrQUbopzRqMYdOWx59oYYvJZ4y+fE/Qkxh70gyRWo0992YcPllXU6crTBdzblqzld7gzwKa4XWHkravGhkuWoH/PxfXuIf/orhGwenGSQVokwSp5Zq6ihL4OFArovTy+QURbrWttIpJ4YAF+tBLkBcku/YYcApnaql3xvjKEiSuhbC+VWY71gyldIhpVZLeNPVPeLEsHUq4923xVQDTbMSkKUNjpxpcvSMZrXdI8jO8sLzz17zEz/+F3ccOXbuzL49f/IRFH9igF+YnQc5tvPJbz77fz/8wtL7GmqJG66oc26uCmhqYcLcis9cK+DcMvzi7xv6aYYh5c03dGiEGQrLrfsjtk5kZLmF1SU3AqtKasgl/NpeIv8VV/0NwS0sUhWyoAODVi5qa23xdW6N9QyBnxL6KWEQUw0jJsZ6rHZ6PP4q/PzvbOTl41NM5eBuViz1iqAWiqFW7pQX46K37wBeCSLiLGPQDwmVe8hkAZjh5xE5TZGkqXZcXkdEsaWfiBLADb6f4Xsaz5NopVDSGwIcAdfuEvz8T63yr3835anDk8y2GgxqkmZmqaeW0LME+dvThURq82STEsBHFGX484oSZbnk6tuCoFMqrtn1D4A1dvjvjTcz9l3R5o6rW0gMY6HlvuszjPGI4oBBVKPTq3B+rsLsYsD5BcmxcwnnFgX7dixy63Un3nfq+NPZ7j03/u3FhfnT0zMb/nQBfvLMKeq1yq3ffOHQB/7owdPs2izpxz2u2KrYNF3FIgj8hPGaod239GLoxZoo9Xj1UIUkAykyjpw13Hx5wBVbZH5BLVLZ1x2J4o0ua0mrHWm3+b8hC1nQ5qqJzV2DLnJrbfC0yQGeDcEd+Dm4J7osrvb5ud+q8rlvTrPUHWd6TDId5uAOHe+u5ollJZBUA5tHcMe9wyAGYh55yWc18ZkMWOfHzseWD6XCLHPND41A8+Ybejx9JKaTBIzljdOD2OBH7oH0tQO4VhYlPYS0LqxauGKb5N/+jTZferrPv/z1DZxfGqff1DR9QT01VFMIEkfPfO0GGnlFopmDu6BzbhxHMWNllNeI192OoonCvu7GFfdOCJf3TIwpbtmRcdOVku0zVYRwTdBnL2qi2L17A02r57HW1iyuCWYXU9a6Kbdc3eXmK6CpTrG2+OoHLlSC30qT/uk/KW7/RADP0i5SVfecPvH43xyTr/Bdt9VZXJOcPp8x01CM1SxppvGUIPRTqr2MfmyHSklRiFFSEngKmSnafahXXMKnFCjh9NgiKrtLNPJKFBe4+LPC9ilKxQqZR2yVUxMtHbC1cuD2dIbvZfheSugnBH5CvdJH6x6PHcj4tS83+OITM8SmwUxDMBU6WuIkwEInV/lb5JG7HL0TtI548rUmvVizqWrzB068LmkzecEkSRWhp7jtyj6pcQDvJ4JBeSJVZFxyqEUexYuTz+ZKh2CqKfiBN3WpB7P8+pf7PP7aJHNJhV4oaaSWmrYEGnyd5yF5BHcPjEDngaHg4UXAEOXTp7jmjG7SpRF+eJoWxTXljGXS1ri44LOyluXzFB0tjfNSfz+StLuStQ6stB1nn2xIdk7XmF8Y56XXLCu9w7zn3fv+5rveds+Lq2vdY+PN/7I2/l8EuDWH+PyXHmNivLH56Ikj984unectt2kkFdY6PpYMgcmTIInneQS+dFOoktx+mXfRaOUAUq/KYbeJGwUxAma5qjbigXaUROZXuBhVNqQl5cgt7XAwpdYZnjJDL0bgJfheQujHVKsDfL/H7zyo+Ve/OcOJxQm8IGRjXTARZDQCSy2AWt5hXwlctTPMC0LOv5LlJ4GjJ0vtjG7s4yuFXxRTSgUUy6g6mGWu4BOnHhVvwMZmn7VenX4iiBJHU3zP4HlZLvOp/LqpUgVyVFYfqyred3eXm/cv8vOfGPDbD0yzktboBR51T1LXzoMTaPCVqxLrPBAoiaN2wgFeDoFavhdiBPTiNL2ksFacAEo6dMk82VxuC5LMoxpqPD3qbkpT19Hfj4Sbcd5OWWkndHqOl37hCY+VrkXqAVftXCBqH7z3uafZHA3Wjj3x0hnuun7H/zeAp6nhu95z1c7zZ49+9OsPv8ZXn67z6uk+m6ZWeduNMTs2KkwasrDSQMoKoFBKE/iuWpkZi80BqqXTZJ2pyW0rKFQNp8mOdFmBLV20AuC2FCFy836uKrioZnKAm1HkVoUPI8X3HCUJ/IjA63N6PuVXv1Tjj74xycn5cRpVj4kQxoOMemDz0nsBbpmDWw6LQmHOvQPfPTiNWsRnntQcO1MhVCKvGBafZ4Ty4RgH63h4kmqu2AHvubnDr31lkm5V00gsg8QSxC5vcJ/DDT1yykcBcq8UjdypsH1K8g8+3OOaXef5lS9OcHJujOW0QtfT1JSgqi0VbfGVdVQlDzRq+ECOgo0sOLm89J5cAmyKvzcKNNY6TjaQGUK44lZvIHPuX9QDIE5gEBu6vZTlVsr5JcNsC2ISdm/q8Y57BmyZkGwZr/L8oZOY6jUf3X35He/sdTv/RaryxwI8igdoL+D5l57ZevTIid1Z3OOqHTWOnfc4cDjj0ZddJPzI21vs3WIZr3v0Bm7tT+BJ5x3Js23Hx0YadOi5cWueVyQ8ZYDbYYQW0rqtO2Wgi0JJILd+Whd5co+Fyse5ueidus4dLyUIInwd0clifulTPr/+pY1cWG5iVIWJMcWEbxnzDdU8cleH5XuZ+1RyapJr50Nw+656GSUxx84HdOOA8SBXcUpRrSj0lIs9aSZJEk2jptm1NUYFAzpxnb4vqCSWqAC4zvJCjXI6tiwswG+UvCqmx3r85Pt6fOC+OX79S20++ulJlvs1+jok1IqqFlSUJSzMZ7KgKkWCPgoio/uxHthSrKcxxd+T0nFvZ7Ew+WlliWKJlz+khW3BdTi5074fZax1LT2Rcfu1q/zw2wYE2qdZCbmwMMaRMxUWl3pEa4d2+6m39frrbz2dZQOUCv/rAN7rLCCr9elGVX3q0PGnvN3bFRNjAl8HbGgmrHQUnUHIb3y2we1XZdyw2w2Mr4YQ+Ln0V6glwrrIo0ZynVeoGyrnqsrmXNzmVk6Gls5Rpc0OefeImjhQO5ecGbajaZUN6YjvxbQGMU++LPmdBxt8+huTDLI6vu8z6QuavqHmW6qBpeqPwB0GkiCQBDk1cYWhXJnIAe57rvJ56qLl8eerxIlHULOvSzCLlxlycDd1Kk4Unqe5/+YOn3yoy5HzNfqhO7ojz+Kn4CUGLzZudJ0UOVcuimqFvFrS2I2kGmg2NPv8r9/f48rtEb/9YJ3nDo2x2K8xUD6ep6loQZj77n1p8YpJA3I9VVHD+zHi2ENLROkBKGwRKrOkEjINaZYRpwJPmVx/H6kzxTTcQlYcqyvuuslw99V1smyctTWfU+c85pclx89lrPYjDrz6De+qq2781PxS+7p+v734Xx3BZ1enZffUoVvPnnh4TESK+aWQiYZg1xbBeCOg03NlV4CK1rS6gnrVdXSDWWeCGhqf8mitc/lOaVPizSXQloBc5tpiCGwzBHbxVasMlb99nRIEMVoltLoJT7wq+NhXGjz4whgrrTqyElKvKJqepeEbqp6l6lsqPnnUdpG7EkhCXxH6gtAnd+iZHNzGnQx+itIRR8/DhVboCit5s++lhZOiUOX6IPNhRkYSx5oNDcGebX1eOZvSSzyifMa3H+OCgcpyilIUakBe0plTPDyFDJlkzh/+fff3efstqzz8YoePP9DguUMNljtV1qRPx9duZJ0UBBJ8WUR0i8799MOS/jpJtgTw0n8fJvrSeVBUKZktJ7JDZpVrCVJCswpxv8azr9VyFuG2c6x2EvoDw8ZmSBopHnj40bEPvlfcetnuvV/hjxke9McC3EQXgiQ1v/z1Z0/XpEnYvc2wY0PEWidkpeXR6bsyvMANzKmG7qa7BttLk5AR/VBqlAiqUgQuovHrQF7+vbT5OLfi7zvzvlIGLVP8Qs2QCYudlMde1nz5iTqfe3yMhXYNEYZ4dY+GhjHPdfJUPHLaARVf5G+ZW05z3u0LgiJ6FwDX7vuFfoy1CY+8EHDmYoWpCYEnzbD8LQXrFba8098MXXmKfuSxY4Pg/ht6/NE3Y7qJRz8RhJ7zw/upmxPoaFjmOHihUwu5jqa49yXNCqmmEkR835v6vPXmFT77jQ5feqLKYy/XWWhV6Qufvq/RnsKTAk9KPOEiuifyiJ4HGTUEuR1y9ALgw78jKSX9ZdqznsvnEBmKEMYYkjTG99xnilJLr5+x2rGs9C3bbMyN+3qM+Udqkrt/eWl+9kqg/18F8NA8T2r7hKQ8faTKoXNtfur9PfbvDJhfbtDqubkXxohhQaWwYhZPdhG9uSQKj4DtADsCt8kTlRzYw0huRpF7CHAHbif/pQRhwiBKOXJBcHpW8ntfG+MrzzVYWK0hvBDd8KgqSd2z1LWh4lkqHoSeA3fouZmEzmYqS2+R/3ebg9wMQe57rj3txKzhlVMBeB6eHI1qGE6WKgn9RYW2UFKcmuLGOV+9K2L/1i6HL1Tph4JqKggSS6TIpb3RMe8SzULGG3GVoc6eS5HGKNJ81MYg9qiEMT/6jgHvvX2Nrz7f5fcfqnJ6NuTwhSrxWkAaePS1QinXaeU6oqSjL8JFdS0sUoh1oJf5fx/+eZ6DqFJuVUT/IS4oWZtFLl32CqOeS0DX+oJzLcsVOzt8+J0DKnqMJw/AFx4+ihf88StSviXAlxYviH5/8Dc/8dmPTQ1izdU7Ql4+pfnFT8PP/OAS1++OmF+pMYg8sswpskUSKGFU2x1+kFGCKMV6/iyFKfFqM6IhOfBF8QAIMwK4csUVpVLSNGNuxfK1r3scP1/hsWcqzK5WOD5bgyBA1TShVtSUpaYNVZ1X+LQbHB945CAu3jJ/qxzg5Jw7B7eXEXguevs6IQxjTi3CodNVPLleHhxSFFiXWBXzWowVpXYwj/07+uyZ6fHqyZRe6lFPBJEGP7VECXkEF0MeLqRcF8mHNGXo8BPDZDbNVN5u5hHFHo1KzI+8LeLuq9tcWGvzyLM+J88FfPWFKrPLIVnfJ5MaAomQeU+rkA60Qg4jtpcDvADz8NdD4I9OMbkucq+vc5Q5vrHOctuNBRfW4Pp9K/zt7+3ji428fKxBLexT5eWp++7+ib959tzsL2zfttm+EY6/JcAffeJRsiz7ARu3alNNj82Tlr07BF953vKprydsmhiwa3OHOA7oRx6ZUUPpq8y9LcJhfVgJsLm5vpxMFl/NesDnX92R7MCtVIoXZCTGcOqc5JWTkq89U+XVUz6vnQppRyFRHILnoxqaQAmqCqraUCnpwIEufBqFbdb5woOclvi+wvdl/gDYEff2MldZ9BzPD/0Ea2LmVySRDdBa4ufcdVQsWW9eGqoHVoxoRK6HCzTTEzFSDegmHj0tCFKLn4wMY1qZdeV1We5UKIYdIbBGjiJ5VrSbKTxPkWZu/ERv4LNxPGH7xpgbL4vpx31+7GSbV894fO3pkFdOhZw8G5BkHjZQGKlIhdP5hCjeYviQqfwBkNhh9FeMbBTlQl7R/1mahTp8+FNjGEQWmyZs3drmh982R5o1+MI3fPr9hA2Tku6gW5t+9dEfUEr9wv+rCP7QIw9ycbGtPvPQy8IXXT54d4sdGwVplnJ0PuF3vzLOodMZ1+yNuP/6HvdcGyMzjack9aq7adbK3PPsuOY6FloGNYWvogRoafA8B2iE61bpDRz4T59X/O5DAd1YcuC1kOPnApa6PlEWgPZAeaiGIpCSirK5FIYbZ6ZysKrCLitc0aMMbk/i57Qk8J0a5FQTVzL3tMH30rwimlAJYxZWM772VJ1WJ2B8zG2dGEqecj2414HclBJCI4kixdSk4u23D/jqc33Otmr0PeloigYvtXhJoVnnGrvMnFxIedaJLIFFr/seWZbiZ5JUq3zGuqMueuATeClVP+buq1Nu2x/x/nsHHD0nOXDIox8rfvuhKqcu+iCVW0wVK6xQWCnJhk+0A/2wlJ9bl0XJO1TA2Vqbz3xyELfGEFZTtE7Aprz95i73Xx9xzd6Ya3ZH/OaXQx4/3CFJFbu7Az5wT8aG2ivC+reoJ7/xpfTOu9/9JwO4EJZN0/Vfum5bcu3B4wEf/9IYywPoRoa5NU1fap47Bc+eNPzhkxGT9QEmi7lh94Dvv79LmljSVDA1ZrnhqpR6UIj+r7vNpdEF7qtQlnYPDryoWG5LKqHgmcMBn/9GSJS6IToX5z2M0CTWw6BBa0SgXSFJCSrSEipDqHL5S1mnv2ubl6rBzxse/KIvcwhulfdoimH09j2D7xcGrWwYvX0/QamYr7+o+KNv1lG+JpA2VyDKOvEbR/BCC3c83A0XHQw83ntHn8892ea3Hxmjm4bUch7uFTw8YV1y7nTo4kkqPCJynTPTAdwMq6e+lqReQVk0WmckaYqOfHrKDdIfD1Nu35dy294UZMT33tdjkLg+zM8/EfDcax5hKFlqKw4cDGj3FGLIQXIdscgNLhkaZ40TJa6/NmZmLCVL3YD9731zn2svy0hTj/Gam0eTZg1MNMZ7brHcsneF7iCg26nQ6dZ47Fn/2jvvGv8lAT/5J4rg0aCNH9Qbjz7yqX037JlTkzXNs69WabdSvBg2B7Bpxsk//VTTTTQXFmr0U8PJuYwvP5lgTYJJU8aaCbdeE1EPM2wxVNoZKocNwqOPLbBCIBWsdRXPveLTbmmkEkRWERmNFRJEbl6RGiElSko8IQgUBNISSBepfWVdOVqOZvR5ObCHDQ/aNQIUjcdlcAdeXmn1TO7Gy2mJN/KzBDrB2pgLSz5xFBKMSfzcnqsKdaFcxcwLPSPNWpRALsmMIk48xuuKbVMxvhjQTwP6qRuAFKcMPSRFQUvJsr1VDr+X+x4yB7cZzh8cKjfDURAST2XoLCNNNVplaJWSpBkqdrmOVhlSpWyddpPHpMi4YvuAxPYQnqXdEjz7ikerm5foxSUn9iUnFzk9qwZw6zUp42NgE4XJNFifzHhEsc8g9plb8ohit5nCWoGyAm09Vtc8njoYsZpGas810b73v/v9jdW1dnu82fjjAb64uIRWq79w5Nj5Nz32tGZuTTNTt+zcqIcbE+LUGYH6ceYaSRPoJZJeouinPoMMUm2Z6xk+/4RB5HtwbGl60us8scOH3AHdKOFKgWL0LjifA5CbuecLV6Dw88hZRDmvmMenXNT2Sg66YvVeEb1dW5fCz8Hta4YWUxfB8yiuDX5e9ve8hCBIOLdk+MRXa6B9PClGCeaQnojXRfARyIuWr4KHu/FzceLxw2/v89nH+rw2X6ebeVRTMSqtq5H0JlSRu5S9IjnAht018pItD4LUZGSZwEsdXdGZycGdoZVG5dKrkgZZ5EClJN8NDjKIzDARWt51uxnNWFnHqvNRHjZ/8Gwxd8U90ElaZdBVmDz5jRNNFHsMYs0gctvw+pFmELnxFG4DhSTwUz7wppQLi4bli2ffdGH2wi9kafZX/4sR/IEHH0FK4b98dIl6rcrmSTE0RmUZxKnrresNDL2+oTswdAeWamwYJORdJW4qaWQUiVFuaqnNx/OW+i+LSP769FeghsqAO+SkEOg8Y/eEi8xausZZnctLXvH7wkgkR9ZQB3CGWxyKrnoH8BzcecIZ+HbY0ub7pjQ4J8XLo7evE6SMOTMnWGyHCK0JhgWS9QpKWSkY3v5cyhs5C4tEUBGnHpONiB0b+xyei+hnmkEGQSbwMouX5jw8pZSUF/RSDcE9iuTk8xqL6QQCkwlMZki1wctMDvDCc27yAlyWnxKjmoPKJ2KJXLYVmKE6Vihl6+9pCdSFPp8DfJRgq+EwoTifltWLNN2+R6en6PYl3UG+DCt25i2lFOfmmoR+nzA4zXPf/JrvAuh/AeAra86/cu2uNo3Q4Cn3A7mJpvksvL6k3bO0Ohl+x5XEPW0JEtdnl6T5+jrjppWmpjSe17oppm6qqRj29FF65oeSEYU+WkhOr5ejdF5M0MMOnhzYqgC6WOd/9taB23FRz5P4fg5uL+fonhmawXxthhTF046f+n5CSsKXnqwwv1jBG1P4BTWRdr2CcumBXeLgJufH5aLPIHITbN91Z5cnXx7QTkN6WlNJDbEqyukj38dQoRCGUeeQpBj2WZYmHbDscPSDziSZLgBeGgyU2lwHv7SoZksKV1HQs2/MSKwYjZ0YgloMAe5okhhOGEgyZ1uIIkVnoGl1FattyVrH0uml9AaGKDb0I4czYwVCKqYmM665/MhoPs63AvinP/8QgV+966UDX7251WlRCyLuuy5G4KGlRhCwtBaw3PZYaXnMeXrYfyeEs6f6+UaA7HWTqNzYBzfFdNSDaazA8Pou+QIUI6OSzXXXvJAgS8WFUmGlAHbRaFxE7WLloL4E4J4egdsf8u7yO8vVkxH39r0E34uZaxleOF4B7aNzelKU54cRnNdTUiePjXpOi3EM5RFpSeJxw+URk80+rdUqvVRRVeClritHZda9kzLAcSAffie5buyDHWrvNvd/QKYd2Is2tgLgWlqkGrkzL61ZFI7OYdQuP735CWLKkbuY117y4BSDhNJstLzAbX+TdPuKVkeysGJYXElY6WQstwVLHTDS5QSeTLjn2oggDJmenrr5vjvfetd73nH/E1dd+9Y3Bng/Tsls/90LK/71z7zkE2WKF48rotRw1a4eN+1psXNGsHdHwOJKnZeOjbHScqAJjMgnU5W2BeQbA4oNAsVEqsyUihHlZtXiEtlyV3fJyFOqeMmioCBHIHcALzpVRr8u5qF4+TyUovl2CG7t5hOu49ue49t+qVHCy/m31gmChC9+I+DJV+vIQONL4eZvDx2Elzjuho/tCAbrxqOZES/NjKI/8Lj9qj7vubvDr36xTpwFdDNJmFmilNGJJUo0Rco8ipe/VSEZFmDLpx1oyKx0c2eUJdP5docc6KksjF3rC3KjcW9l3/66wsdovuHwgRpF7qFqlEfzNBv9WVr44/P16kkG5xZTDpwyLLYM482IbVsibto3YP8OS5Z4XLVDsrwK1pPXD6K1d9sseeINI/j83Bx+0Hj78cOf/3BnxyxBWuXCIpyfrbLQynjleMpnHo/Zs33A9umMfhyT9WNMrMDibJCy4HiMAJ0VA2KKdw74YeS6pJv+dWx8ZJUdAXx9c7GL4Pm2NOV+rdQbAXw9uN04hVLkHvZsjno3PV00HKSld0JMwu8/0iCzAWpYvSwnmKW+Rkby3SgFc2Abjkcz0l2rrEg2NQKP73tzj9/6UsSaSehnIf1M4KUMo7iUFpmKoY1BIB0vXncVZUmaFKVKp8AoO4zimTKofAW4u4YlcEvrZouXbBiFR39YYyqoZim3MHakwRcJbpaVKdn6SVnF3xHAZMNw9/U9brxmjShJ2TaTsm+roOqFpGmVhZUaB4/7nLlouLi6wD1J+8MffN+7Hp2dnf3q5s2b1wNcih4SLrdpe/d4dY2b9o+zbVm72c1LKWfnJbOrHq8cqnLAOrViU8OycdxQDWU+U1AMZ5dk+Zi1YuzaKJo7Xl5E9WFJ2a7vzi4HvDIfH4K8PB5i2GSc9xeW+g11edhNDmytRK6krKclnufsu74uWtwKcGfDpgmtEwIv5oXjkmOzIVZ5KCnxpcmdd2WKMiLgl6ooxbs8KaoMhixXFXZvTth/WZdvHq2QKJ9+6uytXmbRqRjmJlIKZFrwcBfJ1xMHMQKeLU+qypWcHOQqc56iTAqUGVkqlLRDcI+m0hbClx1WJCk9RNbKSwDswGsy8nUzo1FwBU3Ll06jhKVasVw2pZiZ8PG0wtgKg0HI2YtVTl/0mV2EhZWUhVXDSjdi/3XJ7lZvcHlnEH/1dRE8jRbQosLCUsQXnhrwttsucue1IXPLNU6cDxBA6KX0IveDeMp1u4SB47K6MLEzGt5j8slUReR2BQ2bLzsaRfVipkZ5HNsbR/GStryOnohhy5XOPRpF5FYFt8yB7aJ3Lht6rsPc/X40TqJoTi7A7ahKnlzqBEvCHzxSZXm5ggg8J1GKUuJ3qQel/EFKEuFwVEbJxz1cl2gUcaKZmhB86P4OLxxvEGUhPeVTMY6L6/KJkdqhTOiUDcnImJtTlRIfdw+TCzhau2uvMnfNMpOfRtnIp7+uRVCWonfpcxXR25Sid5avG3SOxlEEL8a9uajtfl0EOClcHiWkZHG1wiDy8LTBWEG3r7i47PHy0ZTjF1Pm1jJ27+jyXTf3CFWf0+dXiOORuXAI8M984bNoJTk71+PZ4+Mcn2/z5pt7xElCq90gSoPh2ASRU4JCQy7AMywVF4A1FmNGexizfONwsaouLRIdIyhPRirz8NcDfD09KayahT/adYeXxrXlkbuI4L7OBwB5xerAUbe555Ui97CLZhTBtXKLql47A596sE4kfddILd0a8PLPta6CKV4vMqz3Xoh1aooxI5pC5vGhtw342Fd6vHyyQqI8eml+YmQWLcQwHxk59sR62S6P5vaSvUV2OMjUAV0pBzaVFdczpydZkVvkwJajEW9DilKaY+Na8cpGr9E7Sd1/S4bDOtePfCtObK3cxNooFrS6atjHaS0EnmHPzjXGN0QkWcY7bupR9z2eOvgyX3/4AthsPcBtegbU9urHP/4ruxaXTrBng8dqZ5I/+Kpbjd2sSnbPZIzVNJ4eGe6HwyylQKryLkbyuYJ5VMrIF4yWt+a6CJFlBVUp6eNvQMQleb2nFMWlAKnKU6yKfsXRHMIigo/kwjxyq1LkLoCtTB7Ri+htcnCnOT1JUV7MsQuaTuyD0jk9sZfYYy/pWSzRrQLUI6BdooXn3ThZCeQ1T7Bvy4CXj8VkJqBvfMJMuCguHAdX0o6i+HBCQRHJYTiKF/l6Lp5Hc2UEpqB7Ns91CqALyApqMrTo2nXDI0Yjl18P7mKjcpyKfMFscYrnfbvFTMP83yyo5mieYtHyaBmvZ9y5S9GsS6IkYGFlkpMLgkaoqDZndv3Ij/5U9V3v/ane9VdudgA/e3aOIGi97fKdjZ/prLS4fLPH6QuKzWsGiyuA1Cpu2I3vjQo/Kv+mReQamWgKLpn3HaZufG6SSLR2/XdSGlSKa2vKLFlJr70U4JcO9xmCXI7WcMtLordSskRRRC4XUqIj5AC2o/cwqSwalcvKiWtYXukY/sMf1lnuhzk9GRV3hqb+UvXyjQvWJaCTt/WZS9SUvHSfpppGVfPXvqfDwy80WI58YqnpS4k/7KG0ruhDkfyJUsOJu4fumpqheuP+rKSRK4HOT10lBcrkn8WMqOB6iuiOWHHp5xnSLXLpr7j3griokyTF9mQ7FB1M3pxevFwD82jqViEa+J4gihXd/jihbzEIltcspy4O6A4i7n/T1M+89MqRJ/r9/meHEfzIkdcIfJ9jJ8/ywpGMzsCjGcLGKc8pDZ7MvRl59l70UBYRS14yPN2WlJNstGY7it1O8/Xd8nnhwIyGbV4qiBd6+BDgw9kdo+gtVflijCK3UqXKpi5zbjPk3Z66hJqofNSEyvLezhRPJfh+zO894nHwRAWkh5SSoNTWVe5bHFUxxfoE81Jwl/3htpx0uUieZJo09bh6d4/33d3mY18JMTqgL30CKYbNFe5alJq23byw/LuZYUOExQyPk4KyGOvAbY0DupH5FuQ8tzHlDvvyvJRLNPAR3WIoAaYpxIkgSlz7XRS7NsckMTltNaMTvJQXi9zDkxsUS0NUC2uFyFUwQbOecdtVKfMrMavLpzl0WJIm8YiizEy4zpXWquCyjT5RGhB4gnrVVfa0Nnj5VuDyTOkiky5O4LJ7bTQ72kXuOBH0lUBKZ6V0f29EvIx0PEwWq/8KM9alSkruuSh7oQsOLmUxUFKUJML8aMvnr/g6/zzDyF2iJer1vNvLnXVhELPaMnz+0TpLrQDCXD0RtqQVvzFFuTTSUcozbF7tKydmQ1ktpyhJqhlvKL7rTT0+9+SA5W5ArDT9rKBHBQ8XpYLP6L44KmEYOfvIvUFlxcMBW1mnrxvrrquRkMmRKlSex1IEnjdKnosEMkmdSSyKLf3Idc5HsTvFHV1lNCL7W53exf0v/OU53dTKsYvVtiT0K6y2JTPbPKqRT5K4f0ifPHWcsebEzpde+uZPn529yPX7InzPRd11VaxS1H39q1wOFiWKIvLqlJtepLTEIoeifpYJjLQoQBiR73IvIQCxLkkrj/iVpSg+7DJXAl1MTB0OtinezpeiL6UlejTWzdP5PJV1sqCL4L4Xc+q04OiZEEOAkNotWM1tAqoUuYdtarI0DWXo1R4BYQhyM7pm1pTL2M6vkWYarOaKHTG7Nw1YPlzBZr6L4pnIW8nWS5QFPy6ohOs6GYG8CDBF/6a15PMhBbYINsoBfHStLdKMTtLiwS3Us/UmstE7zT1M/Sij23c+piifepaWE80iLxk+hJfWtgvaVervzX++OHUPX7Vxmn237/7pa6+/76X3nDp8Wq/1MtDRxnOL9u2PvbjId90TcdNl89R81yfovlOhkAisVSSpqzQNq2OMOGS5NDvaRaOIYoWnPbJM04/kELVSgM0Hxox0cPE6arJ+/kZ+0fMIXm7hKqqYw3UlerR4aghuNYre+lLVRBXLmrKhVVTrBKVSvvTNGscWK+CP6EkBrkuVk1HrHt/yNaQmrC9rl7vihzbaWHPZVMy7bu/x7GtVMD5plnPxLP/M2aVl+xIfHw5lcSAvQ8diRvdSjWiGtAXAc+diHoREodbAutOC19GukfSXZW6Y6FrHrUscJHniua6yLfLFYsU1cd1JmcVtXk5dcUwIixIGyAAnVFTDlBv3GrZOrrBhIns7Jt4Yeua0nqhl1IKU3RsN0w2PX/68BqVpVixpSj64JeNtN/d5yw0D+n3J5mnYPgNZqkkyRZyqYXuUi0ZydKNs7jNIFc16QGZqzC76JKnBZDbfZVmK1qWjiUsAXiQeo+OySC7lMBEq05Jh5H4DcLvZKXZIS4pJWE4OzCuXKnXSYDXim0ckn/16jf7Ah6pGS+F6EcsDci6ZJLuOprwBuC8FwlDRKCqbdqSLJ6lmrK55/30DvvJkj2eO+Niax8D4+Fleui8VmMrl9KHFjxHIrc1HSxVKjhx141uV6+LGTf2VJgd68RkNmHWJ9OvNVoXMKxX41lmUVzuW04uCdqyIs3ypmB2Z8Iy1w19n1mIzi0wzjEmZmorYsTFhMDC85cYBb70xygtJDl+NSorC45sHxjg161GbFHR7Ep1EKZHMkESsdnucONckUDUWlSvIRBl0EzhwIuMXP52QRCm3Xd3hliu6xJHhtv0Rt18bo/MxZO64yzP0UpojBJxbqfLogc1k8XquCuXhOOuHPZZH+RZH//DIVKM5eGVVpxhDViSXKs8hHE3J3yoHdzHDUBWcOxsODSqUkyTO+MpTVV47WwXPQ0iFL0azQ9a5+ko8vBzAi6RpHQdHjOZrm0u18FJjQs7F41hz5faUd9zZ5cDpClHqk0pNX6ghyGU2MqRJaRFZueA0Arkd0hVbLqwOaYuSOVWxeb5j889lXz8fBbH+nhVkrBhl7WtoVGFmqsfCUwPOnNKYvK1tZK11PEVag7QZoTXcen2fO/YPiCO4+YqMW6809AchUvhI0SBOPOJUk2XSWSv8LofODIjSDGsybJaiH/jq59FKsdZuoWyTW3f5BJ67FWnmBkD2Ikt7oGgNNG0tePxAg4efN5gkYWwiYuNkhDAZ2MzxptIObSskSI3SHklcxUsUl29MaVQlfq5Tl4euXwrqMj0ZNrZeMkBGlWiJM1lZyg26xWg4rxilnKsmLmKvj+BDWpJH78CPefWM4KtPVun1fah5ebOFHUbNYp7fpS1qI7XhkuhWsMlhBLXronlZLiwbsOLEo16PeccdEZ97bMCBkwFon9hI51EpCj5GIEwObgpTVPHEOZCLIV0pLRpQpZNF5aDOfyZVANuCEesD1Bt97uIUUdKZ2MbqKbu3Gu68tkOS9vG8GKVMKe9139gtq3afe8MkTI8r4thnEFXpD0L6fZ9OP6Dd8+n13erEJP+cgT+BJxJOH3+R+QsnMCZFb564iFJQ9wRqdxWBOxajfCFSt29pd1PWuhntnqHVh24k6cSKbqrpxRWOnCv26BiKKf+jCCzRSlLzYLpiGW+MxnQZJXLtdpQ4ji6YKAH89Yll2UG43k1oS/RkBO5h5C4nk2r09lRBTbJh9Pa8hNRmfPGJCo+/WoFQg1T4Ujj15HWJ5SUFnuJUKpPUUhRfx1cLr8gb+FLKung08Lj36h7vuqvHwTMhaeqRSUVfaLxsNKdkSOMYldWFEDno86UD5eidxyQ1/EktMm8Rs1ZiTX7dbT44s/Q5rVwPdilHMoELQO7nWeuETI+Ps6EZEAaRK5zJbKjZW0a01hjX/DC/6BElbp5Lt+/T7vqsdTxWO4pWx21KHsSWKIbUaKyVdNMuiRkghEVPjvVACBqVlPGxjEHs0Qgh8BStbsjsos/FZZ/5ZTfA0leG0DNUY8EgcZWp2Lj12pnVwwRB4ripJyFUblyDG2g52p95qQQ04rAlWlLiteXZ1fINwK2KfkU5GuhZgHu01WA0oGgE8teDWys3Zvml05JPPVIHfKd9CzVsj9PD+S35jR3iuYiXo/99o1xzBC4x8u+ULbTDxgAx7HpJU401mu97c5+vPTXguZMBqIREKPpGuIRTFFOmHFURWdnWeunDZke/ZRS9VSlHUNbkHJ08+RTrKIq1ReKZd6bhACBLD3GaCfoDzUqrQhRrAr+Cp9OhSieKhy1/oAqPeJy6Dp9B5NHpaVY7Hkurkrllw/xyysUVQ6vvRliHFUt3YKlUQoLAwxqLfuFwDU9LFlsDXjvXpt2LuHXfgL07JVmqufIyj7H6ONYGZBlYm6KUmwwbJriKVCZKWuZo2GYxp871P1o3Ocp34rxW5Spkse0rB7cs8e11hR2GnFvmCUwZ3EXjQzFvfBi5h0AvRe1cKXFJ5SXURDrtO8lSHn2mwivHK66+L/PksiQNjqqXjErYZXo1SptfB+xhZ88wko9W8mVFW5kWOUXJMJkiVa5n8erdA+69tcfBsxX6mYeVmsh49AUok1cgMzGkJ0LYddFbvBHILzlZVIltWptH6oJS5cHH5qAWNv8qR/+GEAKZ2eEMcCkV1kKSSreWRRej+0YtdyMvS76kKysG5CsH8LZkfsVw7HzE+ZWYHVsGhE3LNTv73LDPstTyWVoJiGKFlAZ9Zi7A14K5ZcXp0xqL5ZFWxsPPGxAJt1yZcPWOHr72CfLZ3uCSEE8XJqqR9bXQLodjdGUh041WZxdNv15ekJHDIk15R4wYRoUiUqiiqrUuituhalKAuvizdeBWl4LbrOfdOkOpFKVTlHIdO8cuCj7+lTpR4kFVI6QazuobjiQryXKXUpX/UvheB55L/CnDozqTrrpoZT5cSRGnmloo+cg7enzx8RpHLnigtJtxKCQ6K1VWiyQzyyuPBQ8fHp8lkK8P5ut+2EJlkYXaks//FsLVMqQQjpvnD4LK/yExrGU43mKMIE4lvlZ5IDJDTbv43uUe1SSVRIlgECu6A7dMOE4hrGZ897U9br3CYIyPEk0qvmS6opgLK7T7vsPBv/lXb9pw6tWz/+izXz7Ezg0B1kJ/AN2BC/fHTxvSQUY1cPqj77migMwbfdPMtaG56D66JKIAuMi1aQ2eLDzZI5/2SMOW66L1G7kHhbiUmthSclkYngoObksJ5yVcXBr3VuVO8lJZXqfENuUzj9R46VjOvYWHEq5yqcvqybdItIqHfB2+h37iURQ3JWCbUgQbFsuGzRCSTBUg18QDnxv29PmeN3f5xd/16WcaKxSx8RkItyFa5bq1zGwpr7Hwx0VyUfDwXG2x5DzcYmWeX+UGLlto7VZg8hPbCMfTrckLR5T955I0cyd6rOU6y0dR9i/8MVnuZUoySZI4m0ecuH+vWZNsmgm5bKPizHlNpyfoDQT9yOntndgwtWP/P5rYdNlf1l95oNvsdrJ3bppe5U03WnoDjzhxxZw4EfQG8PLxgHbPJSmedh+uiJZpsT8+95IU12ZkiCqagUfmJ680AngUuctrM1hfvSyKCwWw86rayOC0PnKrwlZQArZS65tqR9F7pH1rmeX0JOborOSTD9dAeiB8kBpPutHCuqikSXhdef4SkA8rsaUoPizWlt5lqXDUysbIfDVMNhWZcnzcZorvv7/HHz1a5dB59zOazMmGnhHorJRsZnb487yxCayklw8DVR6SWU+jpDR58Y91e5Vs/m+bXDfPrDNtFQ0dzlVY0MbRorCRd96u86s7e7UrCCW5Yc9aN9661dZ84mXoD9xa8CiFJHP7jHbO9Lj22pV3bm76Tb28alletRw+lfHUSUuSWEzmngRQ1AJF3BYoFeCXhq+7gfMFPSl1dMDrEsdLTVCuMFPi3d/Kw8El4B7y8Esityr9Pgd3sWGt+DmHv5ZmmEyqcvRWbpCnVimZTPnCE3UOHcu3ZMmRLdYbmqvWbz9Yb0Iqf4Y34idlWBUyXaGHjwBR1sOLpuQhyKUmjj2u3D3gvXd1OfHJgNi4nzUtZMOCj5fK9q4dbJR0lqXYLI/kQtjSxO1SkUja4VgbW3xmO3qIDaX7l9+zTIz22Rd9sioV6/Km4hqWywS2cKPm3vEkdYUhLCgPJsdTbrp6jXrYA2FcR34mMamBJGW8ElGREdqTBmHg4vkaS23PLe/MjDO+SxivSrZOaSabbhiltbmfWwpU5poZCi93+SQertIWI6efLLWUDcu/lwC6jIl19tjiQhSJ5nCnTGmrWmkVii6BfB3/VvlAG1UamC9zsOfjIE5elPw/n6kzkNpdTanRAnwx0r3LEuG31oPFt4iW6z0pNsfTaHZIqeumXNkcelQcF08zj8Ak/JX3d/nDR2ucmHUyJihi4THImxcgdxpmBW0qPCrrQV6G9HrX0wjkNldmkE6zHloC1uns5Ny/pH4NrcxlYWC9K7TscyoS7jSveDqLbe5zsTBTUVy+pcp4XaGVITOCOFVkmeTCfIJWPhaFtsLNCtmzWXPTXp84hW7fzWUWwhJ4klpVUA3cD5tkgkGU76ZMXaNqsb65qELKSz/YOs/2KFksV/ze6JqW9eQ3AveIj5cdfaNoraUZUpMyLdHFNghpRtFbun7LdpTxq59vcGEhcOAWHjKfje3lu4AKYJc3HwyjNpS47R//Wp9kjgo+oyaES7p8yiPXjEIZN3J568yAn3hfm5//uEcrcab3zCgGRuLl164YJSeyAtgju+uowul+nZXAKoZFIQdyKd2YD8zIDoAoW3PLhrmSzaJkq3BjP8RQBSt7zYdqCu40y1xAJk7c5uc0p129nmRxLSTwQqRwPvNO35Ck4CvJ9ZMCi0FvnsoYDyNmwiXGaop2v0IUVYgSjbFi2F2ulSVJJWsdzdKau9hYcvvr6FVQjmG1UeQl5JxCFMlhObJdKpOVRhcOI8Q6ifDSlYGytDVC2nU0pfhzndOTYeSWI1qiiuTST/jtrwV89A8aRMbPpUE3BL4YiVxw/te3ppVGtK0r7qynKWXqPQR3KZKPunzWm68yI1B5FDf5UHsnH2pCrfnJD3Y5eibg17/gg0pAaOJCNhSjApAQAmnc/FmZR1pZgFmMks7R6VNE59ywZVxHT+HsEwiEdYV/7PrOrLIeM6o8m5IDVK5rWLl0nyjko5QzwyDKWG2ntLrG0Z1Clcv7SaPEMsgSugNns6hthM1odJJm9AYZZy+6Yk1zrMPt+1uEvk8UC/ox+UQjQ5opzl4cY3Gtlicbo2g15NJvUGHUErdgqmxMGspCedacqzHD/ryho9C+XkkRxT7HfHFVeXX3pdG7WE51yXukoDjd2/diVtYsf/hwldXYdzZE6SGEwhPk6knpeC3z7zekJ5fQr/Jds+vu/TCSm5I3ZVj0ubTTp6hqqhEXT1LNmJ/ygbd0+aMnKix3JAiFzSSR0MMB9W7zgrOojirII393Vno2M1Oy2VpcUmlcvV4aJxsWH6Z4QEd9uPnX/GQvfDijxLxoTjFD6lI2z5VtGUXQlEKw1Mk4s5S5rdm5MBFFrlsoCDJuuSpiT13T6ihqlbzeklhBbDy6UR3taQJ/jZV+Cy+1rHU1X3oyJEqdpBd4At8mJFGGHi4lLYFZrY/WupDshsAbRd/iSLM2H++WuslGaREJuCTrHx51xa4e1lEUKe16uXAYwV8Pallw7jypVCrFqyZ88eshz7xSxQgvV09c9A7ypgIlzZB7j/KCN47iI2nwj6Mo6ydcDZPMoUxY8orbIooXpeyRRyXLNJ7V3HZVzHtu7fGJLxZRXJFmkn55KH2RHw21+/XOw8yUPPhmFNWlcBPJRF7kKShp+SEtLBjpcLrZKDcTlCnlqA2tEB9GoBfrQK/ycXvTE5LmuOVWr4XvJ2gvI0rgi0+GdLuuu6efhFgTUPWT3AKQoOfWBKsrMLcsmB63HLso+M1HJun2fEBy/IwGKwi0pBFKdkzDjg0ZY3WJ0PkSUc1Qnht10BQdQIX2bEvcedQJZPLKVhSDjRzICzNSeSyBYKSVDs33Q0Wl/C5F6qGCkv9ajpQTpdJ8I1tK4CccPyf5+JdqzHV8Z3+TI9dgIQ2uK+6UO1veIGqPXHUjEHzLIP66Qs+oKvzGXNxFbymNK+FLTZJ4bKhl/Oi7uzzxcsiJBQXCjZmOjWCQ0xTnGbdDYL8+SXayrxDOVCXMJeAuPN6lh9jp16NGhyh9/Rr3gocXHWH6EoAP+2fz3xvrWg6LqN6oCnZt8di+IRx2mlkybrssRsiU9iDlqYNNSCvUxgQbx2F83KKFdQlJK7JUUzcgfWWpTtQLGK9Zbtplh0tCA89SDd0GhCJ51LrUpV6qHnq6XCY3jBYojbarOYC7JlKBJk5KnS05yJUYgXzUAzoy9o/UlZEkKMtgl6XdmaUE0/FwN2cwzjJ+5ffqPP5CdUhNnDQoRj2XpZa0171L3HGYNxQUAF7HK4cI55KpXrYkF1461u0NXIZFFJc5yNNEc+8NMX/5+1r87H/yiFIHcCskA6HQBRc3I3qVliJ6Vn5Ic5qU025XvClxa2HFcMrB0DOUNw/HsaUzcDuFjHV8fUghZbnLqhwYHcgzBdpIp34AQkq0cYWe8/M+a50JfM/kFhBDvWIYr8dU/C5Vz4BqMRYmBCrBx6C7PVhrW07NZpyc1VT9BpdPaxpVQTVUKOW+UVHIkbLU9KmLofJ21MC77r2+mXedB0SN5txhFQsrVZZaHoPY6Z8iT0zc8VgunNhLwGXzbLwM7HKyWUT0bP1buujtBwlffU7zR4/XiGIfKl7OvWXu+c79LWXtW/5x3FuMytPfiqKUEstLE8/yGAdjRly8SDIzY508KwUycwsATC4bJplHNUj5wL0DHny8z9eey49WociQ9IUbQa0oD+gfFYPEsBppMcPSez4s1Tp34fDnlqOoLPPWPCUVcQpLHctcSw49SSr373hy1IQyHNtRNIVryJTFaOE86cUIOiFIhKUn3D7Rds9J1QVGlLbUwpBmrcp1u/vUwj69vqVZF1RCiZ6sAU3F1duraBUQ+ILxujOoV0L3pCSpYK2r6fRcZWkYufVo7FlQjD0bDq5cPyHK1/ls7WJvvJ8SeDGpSXjoBZ/5JcHKaoigmLfiOqKlGMln6yXD0gBOcQm41Xp5cEhP5EjzVrlbcK1r+eITFY7MBW4CpxwpJ0VL2tBYVag4oqThl4734YOYc5RvpYGv5+EjijKcPGVsqcOmrKDYS3RxRWYM0rjKphCaKPLYuzHiPXd3eeZwQCvKqYqQJMZjUIC8FMXfyHIgyyAXzl9SRPCRulUasKQlWgqaDUF1rEuzHfHw8xWy1HmYqjp3lSq3/MtTbnOcn085SDOHp9GEs3zOYj4t11hn4c4yS7ef0e5mxKmL/GEgaFQlzXqd0K+Tpn32epoJAbrVV/RiwcYpwzW7E3ydUq0k1Ksxy62MbiSIEp/ENDBZQJS4D3cpuItdNm6HTT6Z1XeADvx0uNMm8BKqYUSSRTx9yPJbD9X5+guTbKiFXLs9ZmrcoxpqLE78N+tVyGGVrAz0Mvd2Q9oLE0/Bw7NSJHeat6dTDBkf/2KVj36mgcXLizouegdF9B5yb9ZRlHW+ddbz7tephH8CkJdHRxTm0SKaj4b0jDzi0likMchMOrnNKJQxpKmHVhk/+f4ex2d9PvpZt/4D4RZGRcKtfCke2KFZbNhz6ahYNmx2yGmTcR0+JQF3xKu1m8pQC2HDBLz/8oTJyQW+/pLhtx6q8+Rr47T6FUJfUfcEtczmFmoHbD9zA0CNGeUf7tuYddVNISCODf1oQCtOGKSWwUCwvKapVSS1wA1YvXxrwrV+Rr1i0GdXDJ12ynSwQliJeOxlD+0LmrWUrz6lOXqhQi3U3LBbcNW2kf9ClxY7FXvb3YLUdLioKfRGkTrwE2rhAOUNmF1J+KVP1/i1L88QmTE21xWNwOTbIxyNUcq56MpjUkYR0474d3m8bzmCF1LhusidDjt1fD/hxBx89rEq3a7r1EG46K1fF71Hp0W54PStK5glP0r+ELxRW8+lm1xG3NuWgG1fV7p30dsMo7gbj6fIhEHKvPOnlvH++7p85YmQ4xfzzF9IMhGMqEr+znKvihKlYagFVZGiFFVZdz8KaU8pp0eHgQt4nX6FRjTF+25f5bvuWOJjD7T4f/5gnDPLY8zFFerBCOiVzBIOx20Xn3vU0CyFyemTyXMdyS1XWW7Y12GsPuDYBcvnv1mhVhPU/IxvHKjQNxEzEz02TtTQmyc052Ofrz1f40tPh5y9oPF9j3qoma7DrbsE003F5hmVj9kaVSQ9lUdwP6MSZIS+i9ahn+ZAdy1ftXBAWBkwu5jw8Iua3/jKBg6cmiCjyqYGTFcNVd9JUraYdGRHcwoL7u14eYkHD99mPT2Rb6R7l/wnOiVOMh58psrDL47cgm8cvctLpV4fwUfgLtUvywrDG1DxdYUeysApta8Z1tGUS+cXjqK4RWYKKYxLOI1CGk080Nx/fcJbbu1x7sseUeYAboUiESWqkieHUjiQDXm5vATUpWp1+QNJRrNpZP6A9CPNarsCGMYbio+8rcstexf42ANdHnpxjLNzY/SDgL4vaXhQN25OZWaKzy/ywlPhXzGAo43WGo6drdHvV5meMEyOJfz4W2Ma1QFhkHHv1QOW1wxCBPTiCvreGy9be/ZA9pWXX2p+N17K5de4Xe3ViqBeFUw3BVtmYlb7XR57KWSq5jM55ipQnnbbx0LfOIAHieusCGL+/+29d5wlV3nn/T2nct3YuXumJ0fNKEtIKCAJIYIJBgxmwWFf58za3nfx2t51WLx4gd21DcbYXpMFJokoglBCOYeRNEqjyTl1vLnSef84VXXr9gxYtgGB963Ppz/d0zPTt/v27z71nOf5BdcO8NweVb9LL+pw/3PwV5+pcv19w0hZoeRZTJQShtyEiqNwLD1CGlhvnqZy563J0l586agwrd6mLBwwZVrB7ZDbH7F4z8dqxKrfmiD1atsuVu+BzWU/mqSoIx38/uTA+Oy7EcMzUGtaamE8mLLxcjahLHDEpT5oyryKZ2A3UrCbSKEIhY1rxPz+zzXYccjmzodMEqkXQImQ9NIFlhEXJiuJnqTItEdPRJ8ZqPK7Sv/OU2wbs19ZFGfWahaG9EiUpOobXLCxzYu3Nvn6fW3++jMdHtpbY7FZoutZdBNJNbNvUxklV7/QtMmrboWqZclIbZG7noBn93ssHzEYqTmUfZeSV8NzFfVyhGPEtHpT35KljQvG+vVjrXbz+O41U+qX107FTI5YLB8XrJ1WbF3bZdXUApGc5wt3Juw+YDJeNaiUDEoe+F5MyY3x3QjfDfHdAN/t4btd6pUOtXKTe5+K+NDXHT7wuRHueXYMyylT9QxGXEXNSSi7Ct/RFEjX0TF+WbSIlUb+ZafsbKRkZV4n5hKud6avLJj39N2pwvStx6F5xXs+WeOebSVwbTBckDaG1DEhrkEhua2QpjAA+tR/vPBx0cq5Ty4rGBPJPoVYLunpjaUjyHxKoQqm89mY9DQCZ1RuoZdb6SkYGY5wzYQHn7RZ6KYkoLSSk40Nof+9Fcee+WMW6Rdi4GfM7akLRkuG1KqsbA+QKJnGAJqcsTLmxWe3WD7aJggidh0w6SUmcSqIyM8wKe/FkGBZAs8xGapKztnQYnh4kft3KHYfhcMnYLGZsNCMOTmv2HlIMdt0OXZi9t/veO6ZHebaqQUSJbHNkLITYVuSeqXDXLPLzqOKnYcF9z3pceyYz8ZJA8fWoHMsXbU9Vx9KS24Pzw0oeV1qlTYn5rt89V7JX3++ziO76ihZwvNNqjZUrYSSrSjZ4OeBq32+eB8Mp/6yM3rlqWPBwuQkTwfLFjpRur0MSZyIT3ytwldvK6HcjOttIaTEluRBrplbbDG1YRCEYrA9Kb5fSrla0n8XjQdOET4saVtyE6XU5D5WAplIYqmreJymPCQiXf4IhYzTqL/EJOpYvOHKDk/vbfDej5oEjgHCTA+cJmbWqsTk7VjeqkiFkRKejML6PeeqqyyCRvVt+iJJL1QYPQNDmmhniGJsoMnayTb/4Sc6XHX+Cd73uS63PzrMwbkqYcnSBvkq6Y8YDXACRRgm9ALJ0ZkqZ62K+N2fXOTep5vsPuyw97DDo/tchksSW0ZMTFhUK4IoVpiLTZNESUwjxnUaNDo9vnS/xTMHbPYdtlGxhSMsNk4JJkdMqmWDsp9Q9mLKXkTZCyl7XXyvR9nr4Dktdh4K+cAXfL581xCz7QrSc6ik/VbJSvAthWcrPFvg2jovPks/OwXk6Wp+sE0YzIwptidS9ufeOddbam9v0wy59WGHj91Qphvbeh0m+wdLNwd3P72tD+ilqWanOVwWpyn9UjSoAROnAfoAsAdtJFRqsiNl37A+EVqvGQuBkBIZp61R2rpkPbkUJkIkOG7M//OqFvc97nDLYzK18tCLoq6QqXm/NvrJxoexTEEtyQ+9+Vw+ndGr1Pa4aNEWRtALZfr7MPI7ST+5Qldz37U5Y7rD//6NBl++u8v7ruvy3JEhTiYeoZIkKsnvRpahsDsxC03JoRMWMMyqSZufvLxNpDrsPtpmxwHJXY87tNo+wxWoljSX3IyTCMcSHJ4J+dwdNsfnq/Q6EgODIVcwVBIMVyS1isFw1WSkrhgqx1RLIZWSbu4rfptKuY00W3z+NoO/+Mwoe4/XaMU+vm9SsaBiamC7FrjZextcO+W4WBnAU/PMgVZgCXNwiYrHMHSuoznAFCwsdEytsWz3FO/6SJU9h12UnYFbS9GcVK2T0WKLouKiTC7nLy+Zg59WzVMEfPGEeepAJZ2qiLzX7VfIpY5X6CWPkjngYyH71VwY+iyQJFpNLxLCns3ayS7/9RcWuO/3HJo9Q/PGhUGYWHqqEqeH6rR6G7EiFoIo0TzyOHse8pylLJ5GO8RGsSSMhY5VCTXLVIjs4FwMoMpyMTVJrOxb/LuXdrh063H+12c7XPftUWajMlFi6kqeyiMFcfq8WgShxUKzzkitxFAlYO1owPqJgCvPijg6u8j23Q7zDR1PbvbUOFFsYJgNllXmcZSLO6oPfa4jcG1JyZNUS4JqOWGoElErB9TKPaqlDpVSm2qpye6jAX/2iRJ3PVXn6GwV27MZ8QQVS+GbSoM6SxA2wS4C207BnSag5YuezH/cKNJjC6qdTPJUPFTmbUqUtyiWGRIlMR/8UpltOzyU0Qe3MHRr4sp+WnK/DcqYg0u2p0v707QtkSJrTQbn4GJJ5T5lkqIYmIVLdernt6BG2gAAWW5JREFU8sot+h/HWdUW2lZCK+cVQqStilCIxEQkCUZice7GiN/4iUX+6vPajgFhAkZ64BS5t6GRru3z1kRqUBspqA0l8olalMacZNW77/qrNbbZD5tlAWVWa05qgxGEJp5jsXayyzt/rsmrL+7wJ58YZc+hIcLYIUgEsUqIk4Q40fyWTtdgsWVwYs7Cd21cR+HYCteKOT4XMDo0zKrlVeIkwrziyjfg+SV27XyCxsK3WL3MyicEOupD4TmKkhdR9iOqfkCt3KVWbuO6LXpRm4/daPC520a5b/sQyvGoV2QK7ATP1JsrO91g6VQzTWXMAG7nmZVZGlqm48y43EUqbGFKYqgc1IZcuo5P+r7efsBND1p89IsVFjtZa2KnSh2Rg/t0B8nsAGgUqrdYAnZZaEdE4X0f5N9561Nc7Az23v03kYiB9XkSCyKRKtpjmXJI9LgwEbqqygzwKdDDMKHkJvziT7R45Cmbmx8w08ONQaIkXSWwFFjpTNpIeeNGsqSKJ2hJo0yDC2RCZOhpTBQZhANCFjnw8/QreBr8GhmElkkYWfRCm5Lb5bWXdBirHefztzf5yp0jHG9VaAUmnVDRCRXtXkyzneA3I1xb4yZ3Y5D6rvbaV1/AmWeeSbPVwqxVDMolkwOWoBV02bg6YWpY0mibqS+d0odJJ6Ts96iVO9h2h5nFLrdugw/fUOfh5+rEyscvm5QtKJkJXlapU09uO0sZtsijtHVWfHFq0o8aMXOeQl+Kpqt31mNnQmLFgBQtB7pW6Jh2wI59kr+9rsquOTcVMdhkOktPkmfs9K2Q1eCIMKvWcvDQO2gMWiRa9QH93TaauYKpKDxeQr7SFb3YtqTMviTtwYX+WCergUgkIk6rdyyRQvfjQlgYQcLqeo9ff3ODfcctdh6WKBHoNb6w6AmBLQqMw6TvWBsL0mo9CHgdT6PdXqUUyFAWxqOKLF2i2KJkh9EwkoSWdrAKQpMgtOj0HM5d3+W89R1+8qqDfPiGKvc8VefQXImTTZNhX1H1wLe1AZVp6BfOYkcwNRqwcXmLREA7sOlFAaaehiiEiJhZ6BIkHQwrZNm4TcnVUc6mqRc2nV7A4bmIx/dIPnVLlYeerhHGHp5nUrGhbCa4Zh/YGZnGNrOs+DQnJx8BFhKHrf5YMAN2n35bHAP2Py6u4fVhMskFDKYR4bghM82Ed32kxlduL6NsGwwbpI2UBo7Q/Ah74HDZB3dOyc0ruDj9IRNxah9O33L6u13Z5CRvTciITalHt8hoq2n1FiKt2IJESBKhQaYxpRCxoR8/s4aQKpWp6WruSMXrr+jR6C7we39lcryh+3GFQTedjcu0Xcl5PkmqAkoPklLo6BltR6Gtr6VUiCg18AkzfkX2QpV5yl5kKS0iNhPtjxIaWJZBLzSxAwvHsun2HFzb4/z1Hc77rSYPPNPi07eUeHx3mcNzHodOOJRMgW1o+ZvnhbhehHRihusBkNALtVDZbHR8TLt6rN2r3rR6etXLn9p9lFsftnj7m2aplAIW2nDbNov5lmDnEYebHxlhftGl1Xap+JKSpSiZCU4K7H64Uz8fvp+R0w+usoy0JcnitNPqbpkFym2xeg8IGAZtILLqbZqpMt7UCp1IhHztPodbHy6hpAWmrt5C6lx5z1DYQqUHy1SYUWhJ8nX2aQlWffVJEdB58TrdhFAMcsAH1plLevHimFDkVZxckBBnipes7xcCEcs+0NG9uO7JVV7VwzDBMGOuvqDLay5p8qkbTYJIPwFR7NAWUt/B0uWPkWQHy7TvjlXKZEwPoVJX80gk+V1MXzK/K/XjBLWm1zIFYYqBwFRYoZH7s9uWiW1Z2KZDs+Pi2iEXbuiyZWXAbOM4tzxqsfOIzVzT4t4nfeaaNpUK/OprOhw65pKwiorr3DQ57B5rNDqYa9as5ZOf+8I+23Y+4JSmXj4zs8jlWyMSlfDe6zyePeDzyHM+8w0b1zKwpUHFUUyNKhwzxs554GmC2UB0SDEhS5PZdfJZ1opk2ZVpKGueoVPgk5/WnSrGXLp+z5Q5ZoRlBSgZ8vU7bd770RqHZl1wbD3zNixMKfCkrma20a/apswWFQVRc64jLSS7FfrMwVFhZjTPANDFErCfMu/OxoOoU4At0jV6TJ/YlaQvMP05qd/Hhe8hlpqGnB44MyNr/f0l9Lo2y4e6/Oefb7DYNfjq3bpdwJQEsU1HaMuJDOAyXnLIjvubxsHnQAFJAeWyb0UXCx0THivCCCzDKFjryXRBZ+RRMtpPUvtFzjVK+E7EUCnkbVcFOHbAQqvHoztbPHtA8JlbR7nnsWHWjgWsWTmBEJ0PPPHYTfuuvPqtOqNn9WgXYShGzCY14yTbD7p867Ex7n/SJwxshn3FsgmFbShsI8q3VWYhNjv7c+59YfQtIgbTz7JZt0wBX3hxFNqaLJnhVKu1AtCL5pkFw3rHDjgwq/joV8rs2OND2QLpgGFjSoEvFW46FjRl+gKVg333IIOwH4aUm4HKwR48q+oUtIQDxfu7dyqDFZzBfjxj1yWJSvWS/S8oUlsIXcEFYCwRXehWpW8RYSGEotdVbFrd5ede3+ChJ232zUjdqghJN9Y2GTJvU9IWJe7zx0V64BSxbuXShiR9nKRfvVPuTJQJHCKBzJRgA2ZNcvC8dUpbqs9ema7AdSIuWB9w5qqAZSOa5/TwMwYtqYgNRburjV1MALO6Gd/z2XUo4I5H99Lo2Cy2JGuHE1wrxjKWzIAF+Rq1PxfuB0Plpj5Fjd3S98ZSZYfKQZ4lL5xinClVXr378SIZQzBK8yxDFpoJ7/90iTseK4Gf9t2Gjh3xpNKr+NwvPAV39n0M2MGlivSiov+040KxpEoPKny+I6AZBHPf4UpLwjKZmEiz2+MCcLPZepxOK/ovoDQbM9aPsBToRZCLVsIVZwe8/W2L/PePm8x3UnGEkLRjY2DDmdtkpP24yPpvoYEvgDDzWkHzuZMCwGW66TQEyKhPb+h7pag0qbo/EtYWIaq/wc7cfLM9iJngWAlTNYVvJIxUFJu3Lmf9+k30et0+wB1/GWecMXnzww/c8Z6XX+T/5/lWh9sfsbClJspIY9AGoHiokumzl82Ec7BnI7UM9KLvYDVge5zqN82sghfkblZWpfPbVpy/gnOr4yxuxAwxzR6RGfB/Pu/z4S/VaSYO2A5IBykNPEPhG+AY+m6UL3WKqvwiuIsLniVLnj5fY9DAf7CaPx90L2lZNEQ1sPMxYTaU0L1s9kqKC19OV2956gw+XSUKjD7gs2oeKDwn4Zfe2OL4vMFf/6NBJ9Yvy0g4tGPZF0ckWWvS/71HqW+KLPjBZz+cTvlI+oKNWPRHrHmRpI+VQqCvyO4Q2XmiMIoVKTEN9P+vlmJsq8MtDyXEooZbbb7nJVduvZnkYB/g522Z4v3v/+M2mHuTKODxXQG25bFu0qJW0U9qp6dP0H1Fh8h/T7k2OB+nDfp4D/SpFKimuVFmYRxYPGBmgC+QqIwU0Hn1Tr28TSPEsgIe32PwmVvLNCIHXCc9VJo4aWtSJFFlL6zsdmkWnAHyCjOwyRxMlhicpPTHg4UhIUs+MYBtiu8Lm8yBkWGi3VtJsp3/d3rVSPIUtaj/sLlNW1b1M3CnfXkvTCi7CW99aZub7nN5bJckEdr3sIdFW4j+ootM1jbYf0dpq5JRXPWLLUknQhrY2aFYUCyIWaHo3/2Ld8PiGDU/UCtt2d3rJcQKaiXBummTMzd0OLYYMb94bO9ffeDP2r/79j/uAxzg/IveiOu43HPPPYyVHmX9GTBc61D2Qhoth0MnPIJQDLyaMhW15iX0n8BBcBde3UvEC9ktKDetL2Tn9Kv2oJazmF+ZiRdMM8RxAp7aJ/iN9w6zfVdJjwSljTAsbEPgGwrHUDjG4Dr+nwJ3v4KLgcPm0jn4d6zcz6f3Ln5c7L0TpXGr+5X+k0i/uAzmSp4K8qWPksm59QlWHzq7Xc0c/eA7Zvnl90i279HLgURIOomJGeskDpm2I8YAyDNriX6im364viNtkeqc3a3ytil9zvrPayHzvkChpVBMwlBxcDZioauoObDvmMny0RJXX3EW551/Kb1el1MAvmbFMI7jc3Kty6i7SKsX8JX7LBzLYrIiGS57VEsJjqVBKNJXbhDqHMw4vV9m/t25a2hK3czCYTNOMUr/XWbFMJi8UEhmMArU1/RAaWWBUWlr4tgBbSL+7voajz3rE5s2GLp6W1JQkkpPTQwN7LwlMvrgLh6QZToilPnZQ/Tn4PmLuMBHKbRsFH55MMAp/M7ALlTsHASq36pkH2cgV5lPYOFWkH+oJOp0IM9u8dmcPL3dy7Qvl2HCOZt6/NrrFvn9v7ZohvpUHcWCNsag5URcfIGr3DFLz9uLNm6pOkeo/ONsqqLSVqBI0c2ea9ACiDBKCENtzS1EOm62tBj+7I0wNNyi6rS4e7vLQzsdtpxtIswh4qCT/9g5wBuBBba9a++Mv/vhx0bWzs21OTFvU/FNPAwmhxVD1YiKH+I7WpKWJJKZBYeZRYsoyvorlXuiZCCHfqR3lIbAZr9M43RtSnEcmMdrJymg4/wwaZoBjtMjIORjXy1x3ber9EwHTBcMG8uQ+IbS8+6U450dLJeC28wnPpxSufPzRF5F+uAuTlSyO1OOqec5OSnqDovjQtBg0MVAf0FF35vEkMX/R2bsjYrSSq4GBa2Dh97+6DCr5q5QvOmqLs/uX+Aj1wtagR41BcKhFctBw9Elo0NRAHl2+IzTR9HnB221nZkCZZVZiP4kLisuQgiiSDHbTDi5qGMGXUtRshVlT4+ihzybtcMVKiUX77yEMLY5d5Oxu1aVu1y7f1vLMof4wPv+N1e//KrdIzV/LOwuXGHEPc5Y5XLWWsnqKZgc6bFstM2ysQYj9XmaQZMn9iUstlwkJlKmvBU7wXMTfDei5Gq+uGvrjEol+u79GgB9s/ps5n2q5UQarW1pVb5laS8T2wpx7R69JODj3/D4848Oc3zeB8sFw8E0TEqmomSAkx8s+SfBnVfzzIRGZgkUaZVJ/90A0Sol9+e2Y4UD6EDeUOHPSzWd0F/3D7AP8y6632TkG8JT7g0CVPGeIQb+Kj8jDEx+0tND+k/rlYQLtvRotBVP7UmXQEL35UBBIJH+HCz9ebJllxh4DKUUYZba11W0u6QZT5oCkOfVp9+RlFCrRFSHWxxZjNg/I1loG4SRIEkS5htw4JjN0RmXxYakWh1ndHzt3xw4sP9Da9dffGoFBzi4YGFa7jeD2HjdlnWcs2J8npiAZSNa3GAaLR54LuKhHTbPHfQ5cMTnrJUm566XDJX1yMZzIzw7xnUibCvGtiIcK0EgOHyyzP62TxzrXtIwsl9w6gpb8DIxlwI8s5vIlTkBrtfjCzfZ/PlH6xxb8MBxwHAwDAN/ycTENgrmRPl4kLxy5NvLrNc2Bg+TovALLZKpMjj1wfIvv5YyDLPPibQSZizDJBU/DM7KUxvrPFVB9m3hlpbx/CsbeaERwtKf6yjGKj3+y883mG0Y/OO3TJCavdjB1mNTktwdK+OsZNbM2YFca0r1d595WMYxnGzAgTmtTfQslXKWUrapDR66QldKJuduVGzdELDveIdnD8FDO1weeqbGiZZNyQpZMdbk2UMOK8cdNqxXj21aG3+z2QoGnlOj+Ievff4T/O7Plg6sHl980bOHG+ftONhh58GYl5w7i1da5P983eJvvjTKg08P0W2WWDlsMjVsUi9Lyn5CxU8Zh6WAarnL+HCLemWRI3NNvnKv5OBxn17P1aYtQuS9ujWwwSz4qZix9lJJXyi2pbeUthXg+112HxO8+xN1tu2ogOuC6SENC98QlAzNM3GMjOxVALfsz9+Lm1ft70HusmTkFVvmM/ysYmcx4nmvXWhjBhU+z6+CL51vL13rF1U/0PcQz/jWxV78FEQvGebk3xf9xy22L0oJhmsRnhtx3xMmc/MGGAKVGghJoc8oAy1bPkHrn0+ywAPLlDi2Qdk3WLW8xxkb5jgwG7L3hEGjZ6YRivr7NoRW6Jc8A9dxcS2X9csMLt4c8pKzGth2i3u3CwIEb3tZl/HRAM8PeHyP9Y1v3r7vb372p357AOADFRzg8YMbMKTggSf3YhNw3gbBQqvFp29wuPaGSUrC4oxxxVgNxoYsRusmZV9phY8fUit3qZbaVMtNDhzvct1dDjc9OsLxk2W2ThlsXhEzUjO1UsPMDmhFw55sDp713tlhUkeL2GaA53bZewz++P/UuW1bBTzdd0tp4ksoZQYzpwO30W9D+jSCtHIbYsl4cNDvPAPydy3BkPv2aQ+/7zbaW7LGL/yzgQMnelyYVdukMKrNplV9D5UEZWSmntnQXJ7mkdMKLk7zeQHttuKKc7u881fn+aO/F+w5ns7H8WhhYKRfte+yq5mncZyJlNMvJXSx8FyDkZrBljUGG1eHvO7ieW7dJvj8ncPsPlJl2DMZ9RKESLBMaHVjTswbGIZDuycZG3JZPtbk569pYDHLZ749zomTw5y5NmbltIH0lgGKj/314E9zCsCvueoNGNIIrOSL2MlTNIMW7/5sjceeKbGsZDJeSxguS+pVk9G6xUhNK5m1CKLLcK3J6NACd2+P+O8fHWbb/mHKts10TeFbEOaHjPTGu8SVysoPl9lhMguGCrDNENfpcXBW8Sf/UOW6W6oEhgu2i5AWriG0uCIDt1EYBy6p3KZcUrkL4C7GGuaEqkJB7MvM1KCvSWb6rlT/cLW0oBYrafEThR1BH+QFX5isehcOs0JoJbyUqcWEoRcs/VZF6u8qtUJjyeMNglvlLyAhFD2hcO2EN720S6zm+KO/k+yf0f14IFxasdRZRdm4V2gSoZGKI3TsStpPC53LZJuKbmAzvzDMyhGDX3/dIi89/zDv/GiL2x8fJ0q04WseTCBDpLCIE4tuIGl3TcaHHF5/WZPp8Qb3PRnzzfvKvPrKjbz5TW8I4igCfue7A3ztihFcz/+9qDF8xj983rpyz74SYWiyZlir32tlk3rVZKhqMFJVjNQiRmo9RuptRuuL9KIGn7xF8OGvT/Lk3iEmypKJSsJIBUqeVl/nz296SxucnujtpG30D5e2pftux+lyeDbm9/+2yhdvqxOYLlguwtDgLpl6YuLkk5L++t8qtCTZvNsyRV69T+HOZFvYwqy76CmY6GY4BXW/6mZQEf0SflqZ2sAceODjwX+syMZqg2Ll7ByQbYgTqTCVIDFO9TPRfhxZNn3hCxca9OwMUYwRESgc4Cev7mIas/zBBwX7Z/VwsYuDISVGkuh1vlRa9GAojFg/17lhUPosRbGg2TI4MecRJzBSMzlzusF///kG//DNkG89NMbBxVJ+fkBFadKaSS8wUpAb+K7HWDnimvNCZlqKxFt2e6m6/PcWF7unPM/G0k+8611/zhVXXBE0u6VLF04eOfdFmzqy5AkaTcFwzWSkbjFaNxivJ4wNhYzWu4wNtZgYnqcTNXjP51z+x6eX0WrXmKrCWDlhqARVX1L2DEqugedKXEfh2vpwoXvsJHfE6vfcWktpWwGu02W2EfGHf1fhultqBJYHlocwbFxDUjaVXubIwbbEMvuVW2s+00WP2afy9mm8ckD4bBoS05QUPawzo8kcI0XQFaAx2IMXA24HQ22LB7Ni3n3Ws2RgjVK6aZwt11RmzFncgma3jMHpiQZwv2QX263i3UmILPsy/ylSh1/BlnVdJkZC7nvcotmRKClJMJBicHzYpxv3C4ZpZs+tRBrZRlOSKEkUm0yOCF57SZOq3+SRZ0yONt38e1VJon3HE4gTA6UMpIDHdsbct10yWqvEF5y1+eaDB/Z8Yf2GTacA/JQKDpr722w3fkN6xosSa+7ce5+pMOqVGK2bjA1JRmoxI7WA0XqHsaEGntvgru0RX7ynznV3jlH3bSb8hJqbUPE1uEu+BrbjSOyU993vtVXuZWKb2qgzGwXaZoBj9zDcHh/+XInrbq4RWD6Yg+D2CuD+TpW72JL03w/6U2dmkhmYs0lKtkRMEohI9NIir+aFW7zSgFWnM8lRS6r10kOm7I8MdeVWOcjjNIwpq+YUQSW1usY0U3GyUTDpKd5ZFJy+HyebMJ7yyexzDoo3v6zLjr3zvOfjJpGQRAiawsZAbzeNbKYdK8xIERlasxmGiiBM6PY0TdoyNEgVLkka9lqvWLzt6kXK7jGuu6fN7Y+NsNh1mOopemFML9Ce43FiUi3Bi85cZNcJRalafaLbXfyNkl877Y9lnO6T1177cf7L//tqtWqq9iuf/1ZralnNYu1ym/FhwdRoyLLRDqsmFxmqznFssckNj0j++GPjPP7sKJNVg8lSQr2kqPqCipdW7vTNdyW+q/CdBM9WuE7f07Bo+WbbIbYd4NpdXLfLTQ/a/NVnhznaKoHpI8zByu0ag+C2C5U713kWwG3llSUTPPcVRoaRyucKdha6ndEVWPt8qDTGXPVbiGIFL8yH+5MFUVj5F+gMeWLcoHpfpHsDHcKUnl8iRZSm4PVjQsQAkAtlu//HbMvP4Dx8yX0nnaNnC5r+jFwhsICp0ZCdRxS79+s1bywMEmQ/ByhlYBaNhPpc+tQQSMjURVfmCc5RbBDHFhdsVFx5VpNGq8tMS3Fw1qTZMfW5IolJYsViWxKGNmesMmlbFx85Mif+7idf/7rnD3CAP/vz9wmvvKyetHZesmp8xh6pWywf67Fuep7JsRlmmg2+cI/gb75a53PfHkeqEtN1xZifUC9B1dOWtmU/BbevwV3yFL6rWWyuE+M6ibZ7S30NHVvzShwrwHe6eF6Xbz5g844PjPLUvio4p4I7O1Bm8+5BcBcURUWFUdaWGP3bpybca/lcrhtNhdK52sjQgAojRS/QhqFx3N845ngqtCjZL7YfulQQUhRSmYsJGWa6I9ABS4JOTwcxBWFCGGurhrjg4ZiNDwdKcjazL5LACgfavJUaeBUUPy4ug/TPvWw04cLNXfYeUTy3zwAEcWqybxZAPkimynYJ2a1CFtIr0tS4WBJFFu2uje9YXHN+yHnrmpT8DgdmFPtOmCy0DZKUaHVwNsHzl7Xe9OOv/OA5Z6y5+y//4i/+eQB/7//8S1796pc/Yjm1X9y562Bt+XhIuTzL9gNNvvGgwSdvqfKVu0aZny8zVZZMVbJeOwW2Z6SV28T3DG1v66oU4Hrb6TkJnh3jOFEKcs0rcWwNbt/r8LX7LP7gb0d46kAVXA9p2niGpGKqwjjwO/fc1mnAbRbAnQmdc52oJXJAa1tosG1w7dSawNELqmYrYW4xohdkVbx/3Cy2H5mNWXETWtR5DkSOF/cBqR21aUCzBSfnI1qdmCBKs0nz/lsN5vws7bOLIC/OvEUBzAOVXJzuTJyts0gSweRIwvkbu+w/hga5kMTCRCH7m87C85B9nFMS8uVUP+A2jqWO7Y5MOj2LKHJYPmpxyRkRZ6zsMD3RwXICji9ITGmwZkpw6UXnHW015n/2/PMuDL8Tjk2+yzW98myiYJ6wcQ+3Pb7A04c89h0rs7ho41mSNTUou0lqvQZO6nXi2BLXNnAciedIPFvguQrf0ZXbc2J8J8ZzIlwnBbYTYjsa3J7dxXM7fP0+kz/8+xGe3FcF10daNr4hKBtK21FkvO7C+r0/5xaFuIzvDO6Bw2XayvQXT/STKyw9wrSthJIbcmIhYf8JA99W/f+nADM7YKaZkoVkhIHaWui9i7z4/rJLH75dO2LvMcUzB0zKTubLWHQC0yLuohqfRC45+GYEqCw1Ifv86acr/bFkIdIwWy4BdASbVnT4H7+2CMDX75MkCFq4GEKi/0T+PPR/+qQfVpUYadXWkfG9QNDuSVodE9c2WWw6nFzwKLsVNkz1OGt1l9lGwL7jTZ7eF/Dc/hHWrN7E6Mjpe+/nBfAVy5b1jhye/bVILPu8iMOSJ0yMEM6YhLKrb92GlJiWDt/UFVDmVhCOLXAd8B2VOtAmeWuiwR3mldu1A1wrwHO6eG6bGx40+f2/HeGpAzXwPEzTxjegXJxzm9+BOGWIAqekv44vvi0Fd67oN9HVMwW2bSscM8GxEzwnouyHTI/PcfuzsHtmnOVVQclVuFbWufa3mv0EaHXKZKM4JpUFNqWVPpZrx5T9gLGhJsHjIdsPj7FmWFBx9UrbthROrH1llEoGAQ4g5JIeO0uCX1qxCyDP5/tZXx+TxTzqbanI36Ng04oO7/n1RRIl+OYDWoS8KPQEpMiuzIb4ehubTUUUcSIJY4MglPQCgW0ZOlTBlLqgmBamobDNEmU/Yny4TdRTqNDmonOnW7FSv1arTfX+xQA/OXsiqQyte/CMs161+MzOvy+JYyEbphxWjpu4jtAhQ7HCyA5hUuaxb7aJvqXbCtdJ8Owk7bd1VcrbktRq2bV7eG4Hz2lz40MG7/ibEZ4+UAPXxzQtyiaUDaVtKbKWJNVvGlKdup2UhYVONudeMjHJnLSK4LatIrAVjqNle54bUXIDapUOteoiQlos9ATVXt/9Kh+Npdu8jCdfVOzkcBPkdOEiyLPK7bkhJS+g7LcxREizHXPcsVGpw1OSpFEnOf00W+YkhUeRg48nICy0KoP/rr+00gfArNoKkmw6U4waT0eIG6Y7/M/fWEApuOkhQYxiEZes1clVSkoRK5VOgzSrMIrSCYstsQOZHvDBlDKlTOgWrBcoXMdk9aRBpFr0Eskrr756ce3q1Q82WycTvsv1XQE+NjaJ58qTT+1Qb55aceFtKrzfcmyT6cmQ2UU4PuNiGhLX0UDLLiM3xle4VhHY2UEyfbNCHDvEc7q4ThfPaXPbY5L/+IFRnj1UA6+EY1qUTZUvcfJDZLFqn440ZTAIaikKY0HZr+S5V0sf3I6dvdfft+dEmh3pBdRKHfYdjbj+7jLdBHqRIIj0BMeM9fc0mIjQV+mkxXtwPFhUDBWUS3pcqvMeX3dZi8/c2eL4rIMrs2WMyr3F+yjWuTYMtAhyCTGskE2ffT7O6qxMq7ciMcQAqLOkN5W63Rbbl/XL2vzFby3w9r+C27ZBjGARB62q1xOfOPU0jGJFlMZzh3Gix4iRIrASDNl/2ZmGwLUNTDPhxEKH2QWD47M2ibC55oqzwrLTfbNp107Wbf+7Qfi7A9z3DO59fC9DEysPjbfbu2eOPrtpqDTDY3tCntrtsm7CZtNKwWg9xDQUra5BuysxDA0SLzfGj3CsNKvH0ixDx9JjwIxb4jodbnnE4HfeP8qOQ3VwPRzTomopPec2VV61c6sHo9+/FhU4fWV/MaquX73N3NNaLFH06xemVQB3dsfx7BDPDfC9Hp2TEceOWCgEYRa/Eff9+mIF5neo3DkWMwCi6GcN9e3qsvcIxfRERMXtsD9IWAz1Nljm3icpyAWIEN1jI/OVu8jz5vuHy74KJ63kxe8zNfU0Eh1fEieC2MwAXogSV2JgY7pmqsNf/84Cv/1+uPURiElYUC6BkgSxoJQogljfgYNIx97osafQ0SexXih1goRWV49xh6sJm1ZJzjujy/b9PXbsddkwXeecszbsXrZq+lDSexbD3fwvBzhov7dJedO+defUftkKVtzxvz9ynDissnmFyxmrYeOqJr7b5MAJWGjVsU0Hx1KU3Rjf08b4ejqiQa2VOGFKfQ3w/B622eXWR01+5/1j7DhcA8/HMw1qpqJkJbgmuGbqYZIZ4J9GN1nMPdd/Jwvq7SLPJGtRlthVZIfKLETLSnAsfbex7TClDPSIVYKSMm0/0kmAWlq5yashpzlkFvvwfKQmilbRWcSiQCiJI0OiOKARubihyNXnUurAvUw51RcfJIVpjtTK/AT9FvcjA3Plcqz76sQAIyVuJTIz3BTEhsSKE80xSfqhWH02o2DNZJv3vX2B//B+xa0PJySRou04hIZJOxF4kcBLBwReqAhsvUvIompcW1KvKDpxhz0nbE4sKpSysK0al25qsWV6kRPRBXz9fuOXF29+dN87/p9N/xR8/2mAX3zmSuKwgTTLRyYm7rzzwo0HXuKaAedv7jE2tMhsq80N90qe2uUz5ksuPEMwVEko+yHVUo+SF1At9XDtAMsMMYw4ZbnF+F6PI/MR9263+NMPj7DjUAZuk5qlKBc8Dh2zv5nM+SOyv0jJDnb554wlNhayv343CizCrMpbRj/n0zYTbDvJaQP67qNpA5bV44YHHBqBhTQ0Sk/JskmWgDytkv0sxCJ1dcmbVP3Jg4Ak0ZOoH7uozf3P9OhEDi1DYOcW06lXepTNoAuJELJ/d8gpAtlbCnT9WtOti1LaPi4RgjgN/5UFjklkCKzUXzCr5H2KgP5aa5e1ed/bF/nTjyTcvz1i/1yJwLEJQpNGIrGkxDYkniUY8hNqkd4KGxIqvuT8TSbDw1227W1y92Mej+5zOTTrcOh4iRXLRrnosnPufNGFlxxZbHQQ/0R78rwADmBYFXY+c//OsZH6+1951ZaXHNh3CwfnBPc8E3Hr4yUW5kpsmLCYnDZxbA3uoUqXiZEmtXKTmUZAoxdhRDFSKGqVmFo95rm9gvd8rMz199U40aqAq8FdtxRlS4PbtcBJDTx15e4fIovWaRKguD0ThY2hsQTksk+4Kir5s/63z0mPB1RErhXQ7sV8e5tHO7TwLHK9zaCZfToTP3X3PXgt4WIXOeGQCY8Fjmlw5Tk9ym6XVuTTMiw8Q2BLpe9GkRqgrfbN+hWRTAqGPSJl+6G9TNLPxUK/8IxcUAEiEUTZ18x8SAyhW7FY9hPfsgkL6atYaJC//3cX+doDPd770Yjn9nhU6opaLQ0akyZBYrP3pEvdM1lW12ePahBz+KTD2NAYb7nsJFefM89t20rsPxLw9AHF6o3nYpiV999174M7X3LpRc8Hus8P4AATk6spV+sPzjcaX96+8+AbHnvqMI2uorFgsnlSsH7aZNmYYHyox7LRFhMj82zf2+HwvOKb91WYb+g4C6kCtq5vcM6GHl/5tsf1d1TpqjL4Ho5l6p47S4EoLFusgoFn1m4sFbBnFbGfg9PnkvTNiU5nOnSq4CL3yksPe5YZ4ZV63PigwcGjLkhLC5OX0FxP6bm/WxM+8PESFmEKnFjpUdr0VMIVZzX5xv0VupZFOxY4scCMVKGSi4JhqMjt5yKR6M8lUqfkJf0pT5IedEXqlpVkYE1ftYIsn0cDPIol0ZJWpfhCzs4VI1XFT7+iTdVL+MqtHmdvCNm6TqESE5DMNeGG+332zZTZvrtGGEssI8F1QmzLJklGWTstWT1hM+QYlM9bwZlnr/3yqhXrHmy1F54vbJ8/wCv1Ce548PA+t3Lpb0+O7DCGzpt93Z3b51k9arB22mbNcsnqZV3WLZ/H8+a4cVvM335xiP0zJbodRycSKJhthhw5qWg2Ffc87tJNbPAdLNOiZioqBXBrtmHqJ57xQrIDYya4La6qC9TP4iKlCG6ZH0oLNF1Z0ITmy5a0eqdCZ9sMECLksV0uMwsOyGw1nanG+6AVz/dJPc3Vd7gS6ShQczXGqpJz1nX5xgNdwsihYxh4scCKMqld5qUuiNLDapRWailTz/DU4TVLalAyc7VNLSqKpDJF2oIAQqV3vuwgrit5khSqd7bcEjpaptWOKZdDLjk74MS84NItMVtWlZldqKASgRAhl20NODR7gvd9scOdTwzRPeIRq0ivpISFaVaYXWzw1O4xLrt48vqLX3TBb8PR/aOja773AAe44kXLaM7ftv+8H9+4/fNf2fm6I8cW2Lra5ez1itXLGozU53h0T5uv3OvzwDM14q5DxRKsGEvw7QQpJaYDb3tVxGVndzhwzObQvRbCsCmlSxzP1OD2bJXn9zi2wEmXSNkmMpsoJQlE6bgpLvJB0l9WLhPLbQkKlM6sgpuZF17mpFXwXzFjTFNPUA4dU9x2v0cjtDE8IyX8FxLPcnCfwmJ6Hld2EO0f3PThVRBGBq5j8NKLe/zjrW32nfTomh7dSAfWmqlrqyEVoZEGR2X+3WmQVBIrEpnqNgcOiX3fkUzMEScQRYIwzpy0RP4isqx0vGelY0NiMhpMfxqknX4FBtueMfmLT41x91aDf/fSMp7pY0i9NKtWApbXu7zzZ9s8sOMoX723zOPP1VloQ6MNiXJZNdUk2uDhDZ27/R+/9Oj+n/6JS/9ZBeOfBXCAUm0EmHyP7+9d+7qXqH/n2iepVjqUyot8a5vB3315AhU6jLqCarUfNlXyJLWyycZVkhdvqlL3upQcQEhsqcUKOpwqrdxpfo9ry3z9r33E04NiivAwTuj2II5jvfhAL6SLxLpBgxnynjIbx+X9d96Pp/Po1D3LTm0qPvtth/t3eGCYWjCResAUD4nk7wcQf+q1RENZVO1k7rI5GSk2iCOTizf2eMtLm/zPT1cIY5uOYeDGAivWbk9mumSK8p9PEBuqMPVgkJyV33j66c1KaFpuEEG7qxmMgr5TsB1BFOk8oIGvk3FQUv9IKzJRyqDRNTjSrHH3dp+KabJxhUW9oiWO3oKL55So+BUu3tDh/HUtPnj9CW5/okK5Y/LIDslidyVXXLr1s/7yre+JOof+uXD95wNciLO4+aYbFpZPnvELBw4/vfyp55LLZ9sm+074HD46wvKqYKQi8Jw+F8SxJWVfc8nHhxVBaNPrWSgMkCaeIfBT83zX7IPbc6QOqbK1aNWxJLYt8wOnlBCGBjOxohHHBJFKQaz5H1lvKFLQFx238jYlu7Wnan6tAe37H2Z2zImK2HPUoxm44FpYUmDJpEBvLVgJf0dcL/lsAeSDjlZFcPfj9yolgzWTAUL2ULFLNzboGQI7UVhxusWNtbtq5ued5KFR2dvghAcyPoxK7TAUKMlCA+YbEVGkUtWVLi5OpM2AdCoxA3dMQ6h0WWVhWxZJrNmGpmXgmJKTcxGeJWn3TCq+xHPMlGzm4rtlRmpVfvN1i7zx8qPsO1yh0a4grOiuFdNn/cLM7N3tl111zfcf4ADXvPxV3PDt+9vrN73mybr1hYuf2DtrPfjkMOeuMFgxbjI6pAdPC00IYw3wakkwUoup+iGOFaGIiZW2NC6Z4JmqX7ktXbldW4fDuo6Ba0s8R+DY4KXcFsdS+F7E0/sinjuox3Oap6Ej8TDSQ5IQfevjAuc6MycatO3NLOL61nCuG3LbYwZ3POoDNlJK7DTmZMD8pmAh8R0L+JJD54CrbCpu0BOKfvRekmjlS5KYXHVewDXnNLnpUY/AtOjEEjfW9sRxrIgMXYGz4pJZ6+nM+5R5WJjLZ3wYwyBPrU4IefYgPHdAUXZ1z60JdJLINogSPUXRBpvFr6MwDBPbjOkFOg3NQCduBJGi0VHMNkJdmCITx5ZEsWKxmSCEwfiQz8pJh81r4K5tBp1gOW//5dcHUvTaZ579zwf3vxjgAFKa1M3tv1ldv+6ybz4QnnnhWsHmVSYbVwYIo8uxGYcg8jEjgedA1U+olSOqpR5DlTYP71Q8sb9MyTH1SNAmjRgUKbAFXgpuz9Xg9lNGou8llL2IailkcmSO7YcT9s0OU7dlzuIzDbXkANQ/ePYzNYtq/qRgD9cXPrt2SKcbcfP9LruOeGDp6u1k/JNUyVI81KYPeerHSyYtOceuAO48mz6deGQtShQb9EKL1ZMBL3txi3ufKdMMHLqGTS8GJ9aiXzOdWVtZ5Y7RFT0WObcjUf3nRtDnwTh2TK0cUfIbxGbIk4frrKgZVP0E31WETkIYaSagSox0QCoL3G8jvRvq56/V8dk8vch5axo8+HSJhQqUWgmOFSMNSaIMokix2OlwbC5i1yGbk/M2rc44G6ebvb2LY3fZpQ0PSCmfByK/xwB/xZUXcOR4V3U7nevP3fzJ9WFjl3vG2hb7TzR5YreJiF02TvfoBSZSmPiuouKH1KsdZhttPne7z95jFSbKirKtDWCKfbdryxzcvqsZexrYcZ72NjnaohMscNu2KkfnDfwRrdi3kyVVCk5R2OTpbVkVT42HzKIXoqm5Mvc+JfjGPSXCyEE4Bo4U2EaiK7hBIYG5Lzvr6x7FafuVpT23SsgPf/kILm1RolgSxyZBYOG6Jq+5tMc37m5zx3afILboSIEbp3Tb7IBp9N9r5U/2dirpK3vRW2aCbUVMDnd52fmLfO0+j70zZaaTmDBO0nYpLqQy6xYk47vINPzVNExMw2ax6TE92uXNVzZ49kiFE60yFSeh5CVUy/ow2gojzt+oSGSHJ/a0eXJ/hV5g8+Lz18ycvSJ4w/LJavNfjG6+o0Dv+V1T427yma/d/aeV+uh7zzurFjy2t8XnbvUJ20NccU6CV5pnthGAUPhuzFC1y3B1kW8+IPn8bWMMeTbDnqLkKDwHPFvqbE5Hpq1JCm5PpcZCMdWStqioVzuM1BY4MBNy8ISDyG/v/RiQ/i9xsEXJZsVFcGeOWrnveOqiZRghT+wxeXK/D67Os3czCwrZz/EZALc2bvru58wicy9LUEv6hvGZxV2cV3BJlJh0uzZbpxO2ru1A0iWJIzqJoJdOUqI4nYLkQt1Cm1JIJx58fshzQaXU1hMrxxJWjS9yrBlzsi1ZaAsanYRmR9HuxrQ7MZ1uTKer6PSg0xN0Akm3Z9DumbS7Fostl8V2hbdcmfC6F89wshkx0xJ0evoXNFKLaIUNbt9m4cs6b7lKsnFdi541HKxZs+xDl1+0IuBfef2LK3h2/errTgZDK8rvvvlbQ8HOA813vnhjIq++sMv+uRa3PGwz6htU/IShasD40CLb93f51G0TOIbPVCWh6iaUHJHGevd7Pc8x8FzdlpQKlbtSCqiVuozWGgjZ5JsPlNl/0md55TRLnwzcxRV1lhyQz42zPlxXbSM7WBqaf3J4IeGux32QDkgLxxA4MskPpwPayoLNhKRYvcVAe1K0nyhm9PRZe+QqlziWRIkkio00W9IiSiyuOLvH9bd1OdjwCAyTjiFwEz1NCWOBFStdxdODZX7IXEorWFIMVAKdnnYs+7GLFrnnyRJHG1V9B1TpP0ACcf6CltLQW1JDpu2aMeA8YJuKt17RZNvOOXYdGGHIF4y2EyxD8tILEr75wCKf+XaVK8+uc/Emkv3NsXd+4q7pv6jac/9qgBv/2i/wnr/8Mhdf/EuRkitmt6wp/ZpnPCMf3d3hzsdczKTE5pU2a5eHrJueY8/xRf7k2hH2HaqzelgxXFKUXD1x8dLK7Tn6dO3nEreEspfklnCVUpfhWgvXXuQTNxv8/TcmIPEZSe8Eri3ysFktGh5McbPTN8tUOJbmnDg530T33E4qvLDtLt94wOSvvzBMNylj2jYVE0oWuci5GJdYFFTk8RwFtX5G9upPcpYEBeRng2wjqQZGmtkSxTQSVk4EPL0Pnt7rEAsLpJmH2VpFVmVmeZEvyIqsSnKZXB4AZuldgGvFbJju0O112bbToxPZWPkdSuVm+P3NsSyIivULNkoDX7uBxbIROHttk8f3wqGTHhVbYZkmy0dNtqzp4riLPLUHNm96SXLFBet/Z8vy8PDP/bvX/mvh+a8HOMCf/9kfcsFZ6xfaSXLo6UPOa267d0ZMVDzOWmuxcVXExlXzHJ5b4I8+PsThI3XWj8JEDWolmabVFqRujonnGZQ8KHsqB3elFFIt96hX2thWg0/erPizT43T7NQY86HqpDP0LD15IEFZ5iKMDJS2nQI89WNx7BjX0qJn1w7wvC6zrZAPfK7Gw8/WwXPxTYNKOsp08nDbTIws8vfmALDlaXKKBlX1RdJYnk8jC3ec9M8ivWOAolaJiFTEPdtsGl0LZdqYQuTBWjknXvZfYKdw4nORSH+Lm+0BhIR6RXHZ2U2a3ZBHdnn0YkufW8gYi4M5TdnPp7f82je+3TPpdk16oc3Kcbhw0yKP7BYcPGFjkNANLEq2y5bVcMVl5yZjk5t+w69ecKuQKv7bv/3ADwfA/+p9f8NFr/r5eNOF52w7uXvH/Irh+FVj1Q6bVgWsWzHDsYV5/vjaGjMnamwah+WjBuNDNrWKqYNOlcI0tY7TcyQlV1DyEipeQqUUU0mZiZVSh+HaIvtmu/zRh0c5NDPCSMVgyNHe0a6lD6k5uHPrB9lXyKfcliK49Xvdkjh2gOv0SOjyvz7lce0Nw0SWj2XaVCxyazittld9DWexei+p5NKQgwAvVu2cSlC0mOhXdFFsrWTWK2u24eY1PaQZc/8TLt3E0lEt+flA9QEuiz6MMn3LHAVS54FM1V94cSlguJKwZqrF7Q8K9sx6SCMNp8rvKjDI1tRfEwGtjuTkvKTRMegFJlHoMD0GL9o8z/07BXuPW6hIsdhQxGI51drkf7ziytf83UjliWhy2VnfC2h+bwAO8I8f+QD/6dd/XW05Y8tYlNivNZNdzoETJzg23+IDX3U5fmKYM5cLVk1YLJ+wWTUl2bSqy1wz4MScrrS+a+C5RnqoVFT8mIofUSn3qJXajNQazDRb/Nknhrn7mXGGShajbkLZ0bZyri10ZU0Bblr9JOUiuO1Use7Y2VucVm7tfei7XZ7ZF/Oua+scb1SRjkfJlFRNhZtSd50817NvKmQtAXjxF5851C4F88D5oHBQzRdGhamMFCqnwAqhKDkJk6M9bt1mc2zGJjF0ooWdpcYVZXtFD8aCqimzwsjEFnlcYjrbjGPJeC1hdKjNI0/D0aaX7gHS6Uv+f/v6Vs+Gsh9zeK7Lw89EdDrQCyW90CKMHFZPJFy46QQLTSiVFMIc4i2vv7Jx3oUv/VCzMfeMX9n4vYLlv26KsvSyHY+y07n+6pec/5vL1r10ds/RaSzqiKTC5gnJ+uU266YtNq6IOWvdArFxgqcPdWl09CnHMAROSrLynATPjfG9gIrXpV5tMtNs8ScfrfOVuyapuTZjbkLFUfh2mrJsklusiYJJ/QAPOu9P1cDM1iz4jyci4DO3euw9XALHwTIM/EyEnAkujL5RT9G085TQraJxZ3bl63gKE5Qsy10QDbyXeS8bRiZRZBJGFmFk0eo6rJwS/NTLFnHpkkQh7VgQpCka+RRF9SVjSw+Z+eMqiGKpBcA9g3bXot12aLQ8FloVXnepyX/7hRlW1OY42UqY60naPT0R6QbaIyYME6IYEFDxIzavniOxF3hyf8iugz12HYzZsd9i58FhVFSj26py+dmj/NRPXjG7bOWLfnPvwdb1vu99LyH5r5+iFK/hIS3h33uwee3q9Vebv/g2+Z59O780tm5MsHrCYuvaiOFam8nhLgdnF3nfl3xmZ0qcOS3yQ6FtgevosWLJCyl7PYZrTU4utnjnx2t86e4pqiWbMS+h6iR55dZStvQ2LApOSrmQoD/vlYVYcDOPJ4wwU/faJ/bAp26uEtkehmFpnkzBjrlvpN+XxvX76ixQqU/VLWogByYoBdpqnIoQZMoAjIRMR5sKIWQqajCQMkFKEyktnTjXcXnbyzp8+pYGj+5yCUyTTiLw0mlKnKhBL8Ms2CnpR6GoBJJYx4YE2p0n9SsRqUusHmX++KULGPIYf/JxwZH5EWwpU6alPs/0wsymDXqBwdY1Br/1E3P8909Itu0pMz4fsP+4QaNts3JqBKfkUJ96+YkrL7vsP0N47cT4su8puL/nAM+u1dNllDr60ZWT58lndh79H2eve3hs3cp5Ti7EDBFjO01ufdzg6IkqG8dEetjUXJO8ejsxJS9guNZmodXiXR8v86W7JqmWHSb9hJqXUHL7h8p+WOugl/eAJKwA8pw9mGVtGjG2FYAI+OTNJeYaJYTt4pmScsqTccyi4LngdyiLk5IlI8PC3STFd4FQlXGytTwsTkQe8CQlyEgDXQqQUabOMfW0RSQ5rWCoHPKzL2/wxK4yUezQiSwCQ+hMnBzU/QAwdZoxZbZgCiKIEoMg0tU8jGSu4AF47SVzxBznjz9qcaJVw7WkFpYHCi9M6IUJnZ7BXMNk/9Eaq5eHvPTcRT7yDYfIsPErLR56TrLQ8njDNRec2HTWRX/w7P7eRzevGv5+QPF714Mvvf7bf/tfvOylL3u0WvJO1CrHrvj2Q/PeQ0+XGSpZPHs45Lpv11g95LB6wmCoauE6BiVXUCkpauWIeqXHSL3FxMgcn7zV5ENfX4bneSwrJwyXkoKDlsR1tDtVBuxMd5lbslkiV/k7ViYo7ltYuE6I5/SoVNs8tkvx3mtHOdGp4doWdQvKlnbBddIRo5P23XqCcqqp0KCZp8zzHweqOYMrfL30prAg6s/Qc2vjpS/aVN5mmboXv2+75NARF2Xb2Iam0lqptC1zD8i+Tyt3fE2nQCl5LUm0R0k3kIRhRvYSKGWglEBKgzNWdTk22+OOxz0M007bN01ttkyBkJJeIOn0DFTicPa6NgudmGGvxCtflFAuBfTE5OzKqbXvmDt+8KOXXXzO9wuG3z+AA3z0Y5/k53/xksdbQeXA4zuGX7Gs2nLGRwO+fr8k7pU4f73F1nUC14lpd/TWslaOqVcDhqsdRmrz3PhwzPu/NEG7V2FZRTFSSqiXddWvlEyqZYuyZ2JIofvAOKV3ysz3RB98nNx9S/XB7WTgDij7HVq9Du/9dIW7tw8jbJ+aLajZfemca2Wz7766yCyMBk0zHcflHjGF6Um+vh/kx+Qfn85irSDcFPQ/0f9vel4ugOGqtuG4+wmHVuRoOw9JIXhLFMCt/Rf1ATx90Vp6RBgngsWWfuuFepYdp4p67SmodwrrlnU4uhDx1MESriG1dtYCz5WUXMnxuZD9xxLixGJyyGRqrM0zew1U5PHKy1Y2SkNjv7nYbX/qbT/5VvW8wPQvvL4vLUrxenD7eLLQdj57+QWNaMQLP/61O7e7zcURLjnD5oLNMaFY4JbHHUY9wdiQpVsTN2R8uMWuYz3+8nMj7DtUY/WIYrSUUCsJamWDSsmg4ptUSoJaWbHYTnjuiFatVDy9tMjU2qcQrQpRhVaq8i/5Xf7hOpsv31GnZ/jULUkla01SAOjRoBiYnJwyNSlOTwoHz7wqkx3uCpvXDNBxwbck/av8t58x91RhOSoVUtpImWBZEW+8osnT++f4i8+W6NomvbjfpvRdcFXu06KJVvrA7FiKSikCAp7aY9JoGlRLmuYcBCZx3LduE1KxejLmHT/Z4Mhxjz0HR6i5goqvjX2Gqoq1Kxe4/h7BQ89UUKrEhVsSzt04y0xrVXcxnP6l113mf+HgsSB5HhD6V13f1woOcOPXr+NT73+NuuLq0WcOHgie6vZKP151AvOcjVApz/LpWxJmZz1WTVhMjsBoPWBytImU83z4RpdbHx1nsmwwXkkrd9nQKRMVi+GaYHwoYe3yDo43y1fuNyAycG3y7aVtZYKJzEAzbU/cGM/RSp2hSofdh3u85zNVdh4ZxnMdhhxFxVb4NnkCmGOJAsiXONQa/buGBrrMwV+MqM6sJFSSeVAtmbIUyrpK9Y6qYN6t8v9ToAGnYK/6MdVyj/uesjk662HbEldmZkn9IFXLkrnFnmPrEWvZixkb6jJUn+EL90iOHjcxRVKwZ06JVXqHiRCSyeGIMOrwwE6PKLYpp5yiaslk08qYNdPzPPisYGHBoNeTTE9v6FZqEz/z1XtWfGnHvmb85je97fsNv+9/BQeY3vyzfP66T8aLzQu/uHXT4//e9eyPBclz/tG5gDios3naYXpcMloPGar0GKk1+MZDgmtvHKfumExWY4bKgnrZoFYxqVVMhsowXIsZG+qxYmKBZGaeIPboJplRfN919XRUWVPq6u1YIUL0uPEhix37qkjHpWpDxcrUSHpDqmfrIh9FZrK5/vq7uPBIpXVSr8hlQQqmYq2PVEoLfVVmlm8WXabSEKk0TEr7kuiEg4xpmEdi514qMR0rYvOKkJe9aIGnv1qlE/n0EqmZgEkhZTiT9hV6edNMl11mwGyrw+EZH8dMiJIwpdda6V1EQ0bTCmJ+5pqTPL5nhq/fN8WQJ/HshEPHI8pememJmInhLt2OYHxqVRtr+c/90tte/cXpG25TP/Zjb/1BQO/7X8Gz6/Of+yL/4bcu56Jle58aGl2258CMuubOh5W7edpk3bTJqqku48NtRmodjsw3+eD1dU7O1FhZTxipCOoVg3rFTKs3jFRjRuoB40NtRodm+YcbTB55rk7dlZRd8DIlkGOkFFy0R2I6ofHcCM8JqJU7HJnr8oHPV9h+cIRqyWLY0fP1kpNW8JSf7tgiXf1ryzfDFIMTlFRK13erTX3FjX4Smh6jxcSxruL9UKnBw2dWwYv2aXkUeqamSat/NiFCJAxVImynx71PuMw0PTxLatOk4tnBErlBqmv39w6+FzJc7RKrNjduK2MJAyuP6ialScr0TKBPxyVPMlJp8eheyVzDRSnoBQmdLjTaJmetk4yMTi/01Npf/cRXWp/1xD7e9Maf+kHB7gdTwbPrmmv+PY/f/yG+es/Up5eNDltXXdr4i6Dx0IhnNth1PCJKoFIK+fStHg8+MczGyYSxKgyl4K5WTOplGK7GDNVChmsdlo0vsPtYh9sen8JQBo6Z5BtBUTjcDSx4CrNv3+1y+x2SO5+tYrs2VUtRsvr6UN8VOKlTrpULnsXA9EPkM+8i54O+eb6p9PfThoXFmGYnRgg9gUmUwkYiRUpWQs/EQYNZpIuT7A5kmoLQTMd/Sg8ehSAdGTo02z4v3jTP1ecs8KEbanRjW8/D4/48PF8yZdTZJEuSMFDK4Yqz2nx22Tx7Do5hG9olKwu+V8pKTT6tnAt8yZaAn3nZIh++vszIiM3K8TZzc5JJu8T6DS+eGRse/o+rp4xPxwn8zNt++gcJuR8swAHOvviXAHhq19FPGIZp7nxm/N3PPfv1sZvuF7zxMotDs23ueXyI9eOCiZpiuGpQr1hp7w21ckK9oo2FxoeaSGORz97pc/BYhUlfmwRZRoH4ky99UgVPLjCOcZ2QThiy56hHkPjUPKFtK2wdvek7Ej9lOTp26n4q+72wztDR9/o8zSBtS8y07/Uchecm1EoRc62Ix3crGg1B1QPX0bPljICVCYJFevQS+eP0e28jDdCKYt2q9BU5FpYZ0+k52JbD6qkAz+nQCWwCW6T+iQXqbG41pzemUSzoBSatjsuKUYe3vmSBd3/a5/BiCdNIUpqxfrUpZaTOVhZKgSHGuPyMWXYeaBJ3hnnZuRFP7Kvw2le94sRFF537+xB9QojpHzTUgB9gi7L0+pv3/y/++i//66Mb1q+cFUpeYoQnSpZ1lJsecPCNChuWK0xDk7ImRkyGKlD2E+rlkOFqwORIE9eZ52M3CD5ywwSudBivJFQ88F2JZ8uUnShxHIHnpLlAbozvaWviarnNg8+E/NXnR5hvVRkrQd1VVDxF2dW33yylouQZ+J5mP5pmll+TArFgUWFIkTMXPUdRchOq5YgVEy2kOcc3HhKcnLXwrEx0MeiAWyQ6KXTfHkbQCxTdICEIU6VOog+exTBYI7VsKHkxy8c6PLXbYOexEp4l8DMOTdaemH2XAtvMbOx0EXBtxZa1bZTo8MhzPr3Qxs7MQJUOgwpCQBhYhuDwCRNDOqyZbPH0vg6I5Vxy+ctPrN5w5R8sNJ2P1CsjLxTMfvAVvHgJUWVmtvvh9RuvjlzH/cu//+TNQxPVLhtWJOw+0sNMSqxeBuMjbZptE8sUVEohU6MNxoZmuWVbyEdumKTTLrFuNKHqKnxX02+zINdsgZLRTk2px4OOHQIBDz9j8dzhEvWKpGQluc2F50gdu+LpCGrfSwOVpaLdEyw2FVFEf/2eqokSqfvjfPxmJ/huRNXv0gpatEOb+Y5gtKfHjq6t1+ZArjrKpi3ZjDCMFI1WSKeXYBha0lcKdRXVa3wjNYpPcGybRstl1WSL885oc+fTIZ3QJYxTF9y0gmf2ckrpQ3kvELQ6BpZpY5s+K6cCfu5V8zy9/wQ3PTyBUhaWmejvl5gTCzHtHozWIFKL3Pqwy8YVE7z1xyRW7eq5qy699B2WZXxcGPYLCbEXFuAAI8MuYdS9Vqx+0ezK6Zl1W9dG733m2W9bh2dMXrxZsHX9LLc9EXHiZJ2LNpkM1zocmFnk4zcKvnz3CMcaFSarUPehWpJUfA1wKfsG7PkExeird2wrYmYx4sFnK4BL2YZSBm5b6MAsV1s11MpQLSdU/Yh6OaTdC7lrW4ko0rmPCqV73MwwMw1ZykBuWzG2HWEYEUmi6IbQi1QeC0hW+dO2BtJJEKk9hpfwyM6AXldQL0HF17yRRJlIKTGkDtCyLRPXsej0bFAOF23sMV7rMNd0NQErUcSnUfHESseHxIm+FZlScWKuxEi9xzt/cY5zNwbc+OAoJxfKTA0LztuccGSxwV3bytTLDudvidi+t0F1/OXhujXi99acceEuYZpff6HBDT8EAAewTDc5dGDn9b//9tfbTzz9ePvIbPzBjSufFK6/KD9+q+LRZz3OmTbwnJBnD7T54PU1jpx0me0oHENQdxX1kk7OrVdMmp2EdidGygSldBfWN5BMx4N2wLMHFbc9WdECi3Qd79oC1xX4rk6Hq5QEQ5WY4VrA5EibcnmWj9/osfuwzbIRm7KrleGNVkiSJPiugWX2Q1n1CC/BkAlSaDFkkpOYSG3K9Krcc8D3tGH87IJ2lvJsWDUV0lULXHuTR73tsHwoIVFRerg0MQ2JYylc26DbM+k5Fo2Wy6Vb2qwca3N4vkoQS223lr2o0se1LfDshFZXMd+Q9EJTtzm+Q6VkMlK2eMvlNpdvWeCDXxV0ulUqvsXFZ4esHJ/h6V0Vjs+NJD/9+jOUX1v7W97oeR/btftQsGXL0AsNK/0zvtDfQHYtX7GeOx7aG3ST8Wv9yvotF5y75o9PtqcgdBjyLSaGBSP1JtfebBG2hvj5l7n84U/1mKqHuKaetEyOWGxYmTDTbrH3WEgv0HkwfVGt9hy0rYgwirjnSYvFjkfJTo2HcsuKlJfuC6qlmHolZGqkTb06w4duEHztrjJRpMeAY3VYM92jHfU4PJPQ7saEoZ5yDAa29o0issMkZKY7WtFU8hKmx3o4bovdR3vMzIeEkcI2BW+4LOEXXnuCk92Qw3OChWZCox3R6iS0u4p2T9LpSbqBQS806fZsyq7FJWe2ca2IbiTSNiWzjdAvetdWrJtuMjp0lJ0Huxw9qZhdtAgCi6NzFu+6dpxrv7ES3xzjZ1/R5EQz4tgszC+4JIHH5RdMMDy+9o/P27Juy/lbRq4dr+wItmxZ90LDKb9+aAAOcOUlW7jo3LWdir9/R8sbffdLLtj8zp959fL43DWSlRNdbt4W0mhUePEZFmev17pBUwqqvqBesZgYgfXTDSynwWxD965QzL9J8oVGLwq5Y5uPEdv4ls7jsVOjT9fuq/k1wHtMDC+w/2SXWx6pYmNR8QUlz2ByOGL9igV6tDg0C+1uQhDqqL++KU5q0JmadBY9UUS6LLIsKHkJy8daSGeO5472ODEX0+ooFpoGcVzimnMSVk0scGgB5lroO1U3ot1VdFKCVC8w6IVaBymlzUvP6VK3urRDCNK05KhQxW1TMVzr0ok77Dwcc3w2ZHZRsNC0iGOLIIIndinuf6JK3alx1QUL7DkS8sw+r7dnfs1Jw93yzje8ZuTd9z1xaIfhb+x49bNfaBgNXD9UAM+uN7zmp7hw0o5f9eq3/snZF/3Ke17/Yy/tTS8zue9xn63TNudvVlhOk1seNkhCi/EhSa2iN6H16iKGpbAtWSAXaQWPZSVphEpIL4lpxzamaeLnWk1Syq62ryi5CRU/ZGyozeG5Nu/+TI3ZWZ+JGpQ9SdkTVEt6YdSLQpo9RTcgTyIeiPLLyIGFT2YUcSkFtqlw7ZiS18O1O3TDhMVOQrOT0GxLjs+6jNV8/tNbFxkbb3J0UdLs6BdUtxfT7enAWE1zNQhCM51+gGN06cSKbpxW8VgRRYkOgoqh17MIIsFsJ2JmMWa+kXB01saWHtdc0KUbd3hkR8yTuypcdY6BXfbxaufcfuBEb0WYVN71+a/Z8Ste8YOdbz/f64eiBz/ddc5Fb2BmdpHhofi/XH75VfLAgclLLnv6Fnnu+s4lU0P7zId3t9l5YJQzp00mRkwqvmC4GrD/RMhDTw6xqoYe8blaQGFbCid1qvKcDl+5x+ShZ8s4Llip97Vl9jd8esQXUy2F+E6brz8g2L6rzIQvqPo6v8h3wXN1y6MwCOO+B8mA9x9971goGuUz4LqVzegFCUGU0OlpD5Jmx2CxZbHQLHHO6iZXnrPIF24tsdgRlL00cTlMCAIt9I1SDnerbXHeBrjiwkU+c0udVuDQi3RGTjfU7VSjbXJi3uWSMxRfGu8w17RodWKOzNg8vbfK5jVtVq5o8MjjUC5PRiMjE/f+3NuuSVavXP/wm99Md3Ks/kJD5bteP5QVPLtGhqsIMYRh1//Ak/uv+q2f2/qayy/deF19dHmy83CJqm1z7kaolEPiJKbs9dh/EmTiMjFkMDZsMDGsPVUMI8G2Y6rlDk/uDfnUjWWC0MHJA61UyvHOiFl6Zl4r9+iEHe590iPqOYyU9SjSdySeq2PILTNK7ZwHxWlFHWXOkhU6ASLvw9N5YF/wI1FpYFM3hG5PA73Vkcw2HFzL4yVbO9hul9m2oJPOx3uBIogEYZRRXLVxvm1a/PtXtjh77RzznYRuqFuUVkdxYi7i+GzM0RkbFVdZNd5lsatfaIvtHo/sEMzOl7hwg8FZW1ckU2vOum5enPuaux46fNXUeP0Pf9jBDT/EFXzpNbHmLfQaOxq25709sdbtXL/64TNXjoVvMNWTPLLTZNMyk1avx9fvqbBiWDI1ZrFxVY9aucmBoyUsQ+LaAY/tCvjzTw5x17Ya2HpmnfE58oxPS6T8jBjf7fLs4YRdxz3qJUnJSbTrrSPyGHLPDXFsJ+V9J/nypeg8mwmFUUm+QUwyOVkuKdNOVkEoaPc0TbcXKDq9hHbPoNWxmFv0WDXWZPVkh117fTo96IVKZ9hHRr4ESpT2LTEMuOIc+PNfmeG/fcLm6LE6jiUol2D/yYBmV1FyHSaGy7zukhbP7e/hmAYrl7e4/8mE460zWL/G/vLW8y7aPja66n1B0G5cePYPzyHyn7p+ZAAO4Gi19ckDBw7+0Zt+/MxVQfMp7nu08gZrzy6mhhe55+mY2dkK5622WDedUK8ucMdjEY3FCpefDYguf/nFKjsODHHpuQGeO8+ju4aJVX+aYRgi9U1J8JwQ3+2y45BkzyGfMyZUTuJyHU3ess2IgycV+09YeHbGNEytGNLMH9PUY0KBpvHFCTp+MOuHY90LR4mg0zOZHkuYGgtZOAndUKVV3KDTNZhvuqxbYbJxeYfHnotph5Ig1JF8UaRyW2Nt6RBy86MS15xk0/KE337TAr/3tyWEcDhzrWB6eZM7tiXsOmwwWnc4Z1OJCzY12HXQ5twtdd746vVUaud8+coXn/k7cwuNfZNTUy80BP7Z1w91i/KdrhUrphkb6u1btX7TOyaWX/Cmn37LG++49JKziZMqq0clZ62H5eMdDpzoct/2MlJaDFVDvvUw7DtU5ZKNDr/6Ywa//NomENCLdIy1EJmBjw6wrfgBxxcivr3Nx7NMSrbCcTJzUHAdTdh6co/BM7tdyq7Ks+OzpGftuxJhGJpgJRQECXQjkVberPpCGAmaHZOz1iSctaZLkOhDaxAk9ALoBpJ216Tb87j63C6j9S6NjkgBnqT6S5ESuRIQIf/n+hof+uoE9z2xjHXjPq980QIzTUhig0u3GKyc7HB4JuSxnTE79npMjQ2xcet5nH/RT9xxxUXnvumMMza948R8+0cS3PAjVsGLl+WOA+xUSu0Eti8em5162VVb//6is3es7y08YMw3Ex54yqFke6yc0DP0QydNxksWm1cYTA3D7U/btCKDIG0ZZOr8lKnEfTfgeCNk1+EhfEvi2XF+CHWsJDUPCtIYEAOvkCfk2grfiSl7ARU/wDajNMsnoRfDbEdSsRIqgdIADhVBKAkCA6EspIjpRopeCEGkUi6K1IucwGH91CJ1L2BmxqcX6juBTl1Io/9khG0pzlwTce+jCc/s8xgdqrN8dI7bGyH7j5msnfY5f2PAtxcjjrdM4tJF8euuWrfzgae6v7p564uPADuKnJsfxetHFuDZlf4CduzZv7Bjejp+pbHMWS7ludfte+6m6opDh0pjZcWy0R5P7U94YqfLWM1gelzRCjo8u7fMT1zUY9+xgE7o58ocy1R4boQSATc+ZHPwmM+aoSSVrulDqE5/01ZvtqNwLCP1TDFwbG0aWisHeG6DZw50EFKSKAuFxUg1Yv3qLiePuZRakqFyQhBAEAqC0KDTs+n1IlqhohuJvMoHgUEvkCw0HVZMmFzzogb/eGOFdiB17nucJgdbCUfnutz3dJ0tKxSPPdvl4HGbE3Mu56yVPLiqy6EZm0eflVTqI5x1xnTr9a++ZjEI4zdv3LDq0NYzjH0/6sDOrh95gGfXmpU1Oj21zzAvOqCixa3Nlnjx63+cfzh57Nlo/uSzw83GfKXsWNRLgpFaj91HE3qdIc5bG7D/SAfX1mNFIUEaCs+JkLLHoVkblE3JSfIIcC0a0IfQ2UbCLY/62KbEMRN9SLUFvhtRr7T5+v0hX7htmP/0FsHY6CKmaXPlJvhPP7XAp+9sc+u9o4z3UuOcyCCMJEFocfV5Le7cHtIN3DTyWnufh7H2+0N5LB9uERLRDh2tFkqg2RF0AkHZj3h2T52LtxisnOpy9EjIyXkLYZSplhXD1bHG5rM3zp5/5gYTwS+PTa65b2K0sgAk/1bADT+iPfh3ujxHYBsiOXS4M2f7q75VKtU3PvXgP6678LKffVfXuObJl71octuKyXLX8UxOzMWsHYfRoZiKb7Jq0kRYEfONCNNIGKq02HUk5lsP1pmspvkzqcefXggluHZIO4jYtsPBtVKnVkOmVNkEx2nz1AGXIbdO0Kuw0PKo+AaO9Jifn2LL8pheGNIJUtvjCIJIW5ydt16Lrzsh+SEyjLJoE8nJ+RKvuECyblmLk01FlAiGqhEqabDvsMFMo8ThGdh5wGWsElAqWSSi0j22sGrbb/3UpU/+h195y7ve96FvrqtUqhs3rVv5rbLdnRNC/JsCN/wbquDFa+2aSdBkvPaBg3uxLPO9CuO90yvOMTZsqnzQtZsbZ7ftv/yC9ccNx25S9Ww2r+zxxMEQEZWo+AFz7R6dQOKbHhvHFQtt6KX8k8x5y7ZDDszFhKFJSZJneGoSU8Iz+xU795msHALQI0ApJQqYXbTYukqxeXWXoGmTJIoo1nPsOJG4rmS0GrBnAdoBdAO9/rethCQJ2XnQZ9VkHc9WlKoRi13JUDUiTBZ5dEedl1R9pAUzrTI//ZqJ+MDChrumRqs7Wu3mb9hWI/Y9h+uv/a9q+fK17Rf69/X9vP5NArx4rZheDf2lYnTk2PyvSNMe+sN1c3++f+e37NsfaMcTo+Pnn3tmcMFi7yjddsBsc46bHh7h7HVd1o0Lrrko5v4dETMnTC0YsGO9Sm8pvnB7iSh2qFVjHNvENKATQBQL9h832X/UYsNEn5sO2jqtG0hWjSdMj8Xsa2vVUBQruj3JQhPKvsEbr2jxoS9XcWxJEMb0Qm1etOdYzENPebziRT4jJcnVZ8bc/+QCew+VKNWHsMrLWTEVPHz5uSce6URrjOmNrwjOHR/+wzjszZn2DwfL7wd1/ZsH+NJraqIOMAf8OsAD999Fksgrlo3OvqKZtN/sWdGmw7OzTA4dYKgyw/RwglItTKUQhkMiEkp+k0d2uhybd3jugMtPX604PtOjYrkkMubAccXqKYlE4FhpRryRIITKPVGSRHNHUFDxJSvGY9q9HvMNm6cPCL69bZxLtja4YH3A1LDN9n0SKSK6vZBmO6TdXeTAcZ8ECyk8fub1U/TCMZZNOs8emvWv84erN26tJ3e85PLL+d3feqGf9Rfu+r8O4Euviy6+HOCO48fn7rj4YnGna4frntg5l4SNzyYrVtTXvGl03e/vPbiLjesdOjtnaLTnODF7khMnxnAsG4nFOStD7mvDSCliMYk4dtSk2TY5e33Mi7cGxLFIjYNCwsigl2jN5n1PWWzfZbFpSjA2HLDzUIfmvKSKwRM7XS7coC3qyq7C9+cRuLheiXWrz8QthYyNbWB9cOTdiWjveeXV18h2PCbrFWsX8C3Pr7/QT+0PxfV/PcCza3x8COBb2Z+bizMYpltvNQ7cmwAjY3a4fNXW3102lLy81W2xbrPNzPF7mN4bY7uSkq8YHnKImwFCRRgyZqwSMlQVnDwe0gt7zM8FlDxJ1OkSx5JDx2DfMYPltYBuLyZITCLlYpgC27VY7Ehsv8yLL72IV1Q6tNtllo1HNx0+Fv2lcGJrcvnZXP3SV93R7fbma6NjL/RT+EN5/f8A/w5XuToCMA98FWDn3qMAz/h2PHF4Jk7GqxHbOo9Rcts4doznKBwzDpdNX/qnY6O9156xqRkeba9m2QrBquU++AEzJwN+7c0Jh4/bTI/ZrDAXwa3R7sCyFaa15Wzra5+87uk/HZOOJQyDRAlcv8La9WcyOZEwP+/KWlkcW7aSPX55+Qv9FP1IXP+2ZkIv8PWPX7obhJiQ4fHa1tXz6sAxiz0nFb5h4Xshew8rfuKqHnsOm3i2g+c12Xe0xu4jiku32uKszcMLiVLH6pNXvdA/yr+Z6/8DQ6I97yRP1m4AAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTg6Mzc6MTUrMDA6MDBhQEXDAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE4OjM3OjE1KzAwOjAwEB39fwAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 11}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 30069619
    {'hecke_orbit_code': 9007336878243890, 'n': 1, 'trace_an': 2}
  • id: 30069620
    {'hecke_orbit_code': 9007336878243890, 'n': 2, 'trace_an': -32}
  • id: 30069621
    {'hecke_orbit_code': 9007336878243890, 'n': 3, 'trace_an': 366}
  • id: 30069622
    {'hecke_orbit_code': 9007336878243890, 'n': 4, 'trace_an': 0}
  • id: 30069623
    {'hecke_orbit_code': 9007336878243890, 'n': 5, 'trace_an': 0}
  • id: 30069624
    {'hecke_orbit_code': 9007336878243890, 'n': 6, 'trace_an': -11712}
  • id: 30069625
    {'hecke_orbit_code': 9007336878243890, 'n': 7, 'trace_an': 16814}
  • id: 30069626
    {'hecke_orbit_code': 9007336878243890, 'n': 8, 'trace_an': 16384}
  • id: 30069627
    {'hecke_orbit_code': 9007336878243890, 'n': 9, 'trace_an': 0}
  • id: 30069628
    {'hecke_orbit_code': 9007336878243890, 'n': 10, 'trace_an': 0}
  • id: 30069629
    {'hecke_orbit_code': 9007336878243890, 'n': 11, 'trace_an': -346796}
  • id: 30069630
    {'hecke_orbit_code': 9007336878243890, 'n': 12, 'trace_an': 187392}
  • id: 30069631
    {'hecke_orbit_code': 9007336878243890, 'n': 13, 'trace_an': 465246}
  • id: 30069632
    {'hecke_orbit_code': 9007336878243890, 'n': 14, 'trace_an': 0}
  • id: 30069633
    {'hecke_orbit_code': 9007336878243890, 'n': 15, 'trace_an': 0}
  • id: 30069634
    {'hecke_orbit_code': 9007336878243890, 'n': 16, 'trace_an': -524288}
  • id: 30069635
    {'hecke_orbit_code': 9007336878243890, 'n': 17, 'trace_an': -3760066}
  • id: 30069636
    {'hecke_orbit_code': 9007336878243890, 'n': 18, 'trace_an': -253728}
  • id: 30069637
    {'hecke_orbit_code': 9007336878243890, 'n': 19, 'trace_an': 0}
  • id: 30069638
    {'hecke_orbit_code': 9007336878243890, 'n': 20, 'trace_an': 0}
  • id: 30069639
    {'hecke_orbit_code': 9007336878243890, 'n': 21, 'trace_an': 6153924}
  • id: 30069640
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