Newform data - 1859.4.a.k

Formats: - HTML - YAML - JSON - 2026-02-23T02:10:20.758986

• 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': 29744, 'analytic_conductor': 109.6845507006718, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[11, -1], [13, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1859, 1, [508, 1354], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 18, 'field_disc': 39169837687724899286168929822025974941019771925301251012879647296, 'field_disc_factorization': [[2, 6], [3, 2], [19, 2], [1602863, 1], [278267682289697, 1], [602590329945627277, 1], [700875298164515798963, 1]], 'field_poly': [9847296, -43697856, 22620800, 92949968, -64147728, -55787484, 37652624, 15599166, -9875440, -2336289, 1375700, 194656, -107626, -8963, 4721, 212, -108, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [9847296, -43697856, 22620800, 92949968, -64147728, -55787484, 37652624, 15599166, -9875440, -2336289, 1375700, 194656, -107626, -8963, 4721, 212, -108, -2, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996340815683, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 288, 'hecke_ring_index_factorization': [[2, 5], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1859.4.a.k', 'level': 1859, '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': [11, 13], 'level_radical': 143, 'minimal_twist': '143.4.b.a', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-\\beta _{5}q^{3}+(4+\\beta _{2})q^{4}+(1+\\beta _{11}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 18, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1859.4.a', 'trace_display': [2, 0, 20, 28], 'trace_hash': 1788807290504206098, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.285', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.596', 'prec': 20}, {'__RealLiteral__': 0, 'data': '12.256', 'prec': 20}, {'__RealLiteral__': 0, 'data': '643.621', 'prec': 24}, {'__RealLiteral__': 0, 'data': '640.848', 'prec': 24}, {'__RealLiteral__': 0, 'data': '44026.250', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, 'traces': [18, 2, 0, 76, 20, 49, 28, -12, 180, 56, 198, 54, 0, 4, 60, 364, -138, 298, 24, 160, 352, 22, 236, 124, 586, 0, -6, 691, -286, -356, 642, -379, 0, 2068, 34, 215, 530, 25, 0, -108, 608, 563, -460, 836, 452, -580, 986, 837, 1082, -2578, 170, 0, 1216, 1539, 220, 1137, 1282, 90, 1366, 5104, 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• 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

  
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3146321744752477182089983756, -967395650084777285115934518, -579634702393193228303131154, 181335660333409560138823849, 54445822048336239114391495, -17095701059535403022212347, -2697390476863471338275147, 848120788840363792723940, 66929332723700494290445, -21113012085527804798189, -653266228271555255043, 207534532965623152557], [5805633958428825365463485056, -29127961039519326476202336064, 25166039770627197855145438208, 46210006027317924202062944512, -55770648223580115104121083576, -9935495650984976368846796652, 25543990075249483343557802384, -1634348853563820581339063950, -4945732521979809075094989500, 748843658966277247870073739, 475313826721203396735519469, -91524668581518063752951249, -23825608435170274893293087, 5139685739380665873263810, 595125343906891068000551, -137378928669848536592295, -5834289334262506754065, 1412735567958455100005], [-28392729178081111454209260544, 127360646851436595640084940992, -101376131830020707798361002176, -198964116783543265840322703760, 240498146191110874597310170432, 41370145674596260239102595884, -112051994746669818272691106876, 7888295677058136014245180550, 21925697229473547694860569834, -3417917874004947651371007581, -2122451918566178418232814659, 414358658997191174789171647, 106961853976376400710709087, -23193645136753948871781348, -2683185982191135827986929, 618703065092701493629441, 26400323256370777555751, -6352266591316964552033]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 18, 'label': '1859.4.a.k', 'level': 1859, 'maxp': 2999, 'weight': 4}
• mf_newspaces •

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

  
  {'ALdims': [102, 93, 88, 105], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [7, 7, 7, 7], 'ALdims_old': [38, 33, 38, 35], 'Nk2': 29744, 'analytic_conductor': 109.6845507006718, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1859, 1, [508, 1354], [1, 1]], 'conrey_index': 1, 'cusp_dim': 532, 'dim': 388, 'eis_dim': 28, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 67110723, 'hecke_orbit_dims': [2, 4, 6, 9, 11, 17, 17, 17, 17, 18, 18, 36, 36, 39, 39, 51, 51], 'label': '1859.4.a', 'level': 1859, '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': [11, 13], 'level_radical': 143, 'mf_dim': 560, 'mf_new_dim': 388, 'num_forms': 17, 'plus_dim': 207, 'prim_orbit_index': 1, 'relative_dim': 388, 'sturm_bound': 728, 'trace_bound': 5, 'trace_display': [-2, -2, -14, -20], 'traces': [388, -2, -2, 1544, -14, 34, -20, -72, 3554, 58, -22, -244, 0, 212, -18, 6320, -36, -428, -160, -160, -92, 22, 222, 732, 9470, 0, 634, -100, -120, -474, -22, -508, 22, -1108, -308, 14000, -122, 1144, 0, 1164, -8, 1952, -188, -528, 908, 306, 540, -76, 18924, 2660, -548, 0, -592, 3978, 418, 708, 2344, 940, -606, 3700, -2512, -1234, -2688, 29068, 0, -286, 450, -592, 2586, 88, -890, -1844, 40, 3214, -2992, 304, 396, 0, 724, 1832, 29988, -3040, 1788, 10436, -340, 6188, -4424, -132, -2990, 732, 0, 1164, -886, 72, -696, -2068, -2194, -1990, -484, 40376, 4372, 2780, -3192, 0, 2532, -4304, 3796, 1716, 2276, -550, 954, -1148, 1678, 2424, 678, -5088, 0, 5114, -5232, 4076, 46948, -1568, -3296, 1604, -786, -1428, -16888, 736, -15892, 0, -324, 792, -20992, -1510, -8766, -7284, -9082, -9166, -12276, -564, -832, 3782, 0, 63660, -2040, 3440, -2394, -476, -7348, 4148, 484, 18948, -2632, 1364, 814, 0, -12826, -22676, 12876, 9748, 9804, -570, 1040, 6588, 3454, 17788, -4800, 15060, 0, -26200, 10872, -20624, -32904, -2296, 2944, -4840, -16290, -24610, 5282, 18484, -3982, 0, 11200, -4212, -20894, 30738, -2860, 6408, 7988, -14492, 14418, -2848, 6680, -17166, 0, 49200, 6156, -3608, 10368, 28508, 13998, 3764, 14176, -13064, -10988, 12324, 16596, 0, 792, -8540, 15112, -584, 1942, -8300, 16420, 20788, 9236, -15564, -18728, 2552, 0, -21022, 2362, -8856, 94026, -3186, 6996, 31980, 4654, -10286, 6908, -1728, 8012, 0, 23512, -7028, 17172, -808, -2212, 14608, -1744, -242, 33656, -17504, -4550, -41792, 0, 8980, -9916, -18558, -86, -23148, 1078, -11292, 43636, 100824, 20648, -5436, 26748, 0, -15744, 19020, 19140, 2772, -11788, -3512, 10786, -10548, 26388, 9746, -12944, -6748, 0, -24294, 968, 19320, -4212, -12052, -23144, -15924, -18252, -18672, 18040, -2376, 36176, 0, 9376, -53664, 117168, 44488, 20830, -25560, 3824, -7634, -18414, -37560, 6226, -36524, 0, -46532, 10928, 12548, -5316, 14816, 14144, -22224, 1240, -6820, 57376, -59874, 45616, 0, 47822, -6690, 6416, -1904, -16038, -30440, -4884, -1640, -20036, -51904, 25312, 76916, 0, -1120, 4692, -14088, -29912, -5566, -6242, -21004, -17940, 29268, 2986, 119556, 32636, 0, 734, 30960, 5346, 38504, 39512, 3600, -22182, -7736, 15808, 18004, 48100, 30328, 0, 13596, -24406, -9070, 1186, -26956, -2976, -5446, 21488, 27948, 140612, -31726, -242, 0, 40068, 95284, 64710, 44512, -34392, 72222, 38272, -5288, 19532, 308, 51442, 59776, 0, 177984, -12546, -9548, -35384, -10698, 29682, -59072, -11308, -22768, -43552, 14964, -35514, 0, 30052, -32512, -52820, 123172, 11004, -26840, -38948, 93260, 61760, 262400, 12992, -15906, 0, 32308, 21290, 43472, 12870, 7212, 3972, 7828, -38810, 12464, 66708, -57644, -33956, 0, -44652, 14256, 7976, 27180, -25676, -64652, 16356, -29640, 108604, 1706, -88896, 54588, 0, 43628, 19604, 93860, 86446, 27984, 22256, 80744, -8152, -70616, -18304, 19448, 191810, 0, -15390, -32816, -6554, -55538, 2004, 98868, -9758, 106952, -176, -63272, -86684, 56200, 0, 33756, 16584, 70102, 10572, 59908, 60680, 308, 630, -107404, -114414, 93944, -81402, 0, 19484, -49272, 48698, 9984, -6336, 13440, 896, 148, -67468, 72820, 21520, 66092, 0, -90028, -25636, 186824, -96358, 138056, -6742, 9480, -20376, 169506, -23912, -40196, 139060, 0, -31416, 102072, -15060, -61392, 15824, -67248, -54184, 75470, -17252, -116576, -74484, -20746, 0, -266108, -29130, -133580, -132456, -100368, -28104, 10760, 23632, -188412, 6380, 107588, 81596, 0, 55326, -72420, -268384, -29724, -83056, 59980, 20724, -23672, 242954, 136440, -1876, -306548, 0, 6674, 42772, 25784, -25554, -20696, -31262, -28792, 32168, -30376, -106550, -81112, -122532, 0, 101640, 1704, -53440, 26268, -43864, 14756, -17384, -151216, -118754, -97432, -18732, 39948, 0, -110364, -7876, 21604, 57864, -99572, -95430, -40844, -197220, 47244, 140348, -141764, -82936, 0, 56502, 20796, -18124, 289804, 81726, -22470, 8024, 60208, -6912, -56758, 20196, -95284, 0, -44744, -58104, -131540, 81048, -7598, -10868, -12908, -20736, -9482, 57232, -140332, 51504, 0, 73376, -69792, 84196, -166396, 120796, 33032, -1694, -153048, -145996, 18972, 233152, 175560, 0, -194360, -35464, -19608, 76936, 18216, -14912, 60160, 18814, -76404, 140966, 185220, 35820, 0, 210832, 24010, -17688, -137128, 141316, 64384, -101206, -160976, 221744, -529906, 47440, -223340, 0, 47520, 30176, -359696, -50710, -154256, -119670, 132456, 163028, -156724, 8494, -116304, -18106, 0, -118340, -7884, 189086, -287888, -130508, 159884, 1584, 186296, -11740, 50424, 25010, 2290, 0, -96912, 8704, -35808, -39544, -163808, 15522, 118698, -17380, 8140, -42156, 102360, -196140, 0, -170560, -3278, 245668, -355056, 38764, -44462, 10864, 89156, -172890, 63396, -48262, -123348, 0, -477522, -30182, -329044, 10648, -112480, 38444, 81744, -92912, 91204, 117344, -68148, -237816, 0, 2144, -9240, 41464, -62982, -14808, -274396, 11534, -100998, 20472, -181532, -76166, 88432, 0, 114756, 65596, -107664, 110446, 358064, -56376, 24738, 56304, -250320, -215396, 4114, 151686, 0, 157544, 125588, -37960, -89124, 13032, -18342, 12198, 47524, 50798, 14984, -195116, -259964, 0, 31576, -45536, 60180, 76968, 72928, 168032, -55616, 56592, -264086, -125262, 90700, -194498, 0, -154124, 147188, -200772, -32706, 25762, -79464, -50176, 119160, 171256, 89324, 320712, 5286, 0, -115192, -33064, -13068, -43224, 239908, 145284, -130812, -28444, -121880, -3588, 27486, 25088, 0, 47894, -10124, 124528, 76904, -24582, -220808, 89984, 73656, 201476, -44264, -109732, -96140, 0, 174200, -83732, 126656, 96906, -309644, 47792, 43636, 110536, -110420, 42152, 73816, 131204, 0, 244752, 9412, 14056, -167834, -45772, -8256, 136144, -47190, 94368, -288856, -65744, -133096, 0, -98496, 84580, -70538, -26386, 202104, -64944, 161224, 7312, 102952, 251334, -170208, 212340, 0, -160244, -180260, 5192, 68772, -73442, -46812, 21026, -328100, 178272, -102636, -81844, 199992, 0, -581324, -2420, -74852, -279336, -4144, -57030, -376568, -119876, -679108, -104736, -113628, -77472, 0, 4554, 71536, -410024, 52780, 144012, 11608, -33756, -88650, -114326, 117188, -17380, -695936, 0, -118876, -35352, -110364, -145612, -346372, 104912, -111476, 60640, -52360, -451834, -627304, 166720, 0, 456790, 27502, -98476, -539640, 62328, -111018, -26598, -184344, -218144, -321104, 136938, -124964, 0, 255750, 113480, 351436, -20716, 30888, -5760, -43884, 192910, 64256, 290168, 158456, 49488, 0, -117848, 42140, -18084, 88712, 312488, 235792, 11408, 70348, 61060, -228792, 227976, -18684, 0, 200068, -114128, -358422, -13636, 91304, -122232, -104518, 120360, 274720, -139072, -171374, -25388, 0, -16928, -42776, 150714, 765124, -238732, 254446, 84112, 66552, -511444, 88044, 169794, 379724, 0, 413252, 60598, 12428, 55824, -484868, -44894, -61104, -2024, 24432, 134164, 137276, 317074, 0, 63456, 185204, 279804, -151656, -47592, -8712, -32736, 149858, 341714, -433844, 54760, -1037130, 0, 34284, 122710, -934940, 18326, -60852, -15008, 120316, -251246, -1426052, 19868, 57672, -22480, 0, -199812, -41272, 354192, -606672, -191230, -303656, -152328, -19652, 412724, -322284, -158106, -17940], 'weight': 4, '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: 828487
    {'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 18, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1859.4.a.k', 'source_level': 1859, 'target_char_orbit': 2, 'target_dim': 36, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '143.4.b.a', 'target_level': 143, 'twist_class_label': '143.4.b.a', 'twist_class_level': 143, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 4}
  • id: 828488
    {'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 18, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1859.4.a.k', 'source_level': 1859, 'target_char_orbit': 1, 'target_dim': 18, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1859.4.a.j', 'target_level': 1859, 'twist_class_label': '143.4.b.a', 'twist_class_level': 143, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 4}
  • id: 828489
    {'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 18, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1859.4.a.k', 'source_level': 1859, 'target_char_orbit': 1, 'target_dim': 18, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1859.4.a.k', 'target_level': 1859, 'twist_class_label': '143.4.b.a', 'twist_class_level': 143, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 2260100
    {'charpoly_factorization': [[[9847296, -43697856, 22620800, 92949968, -64147728, -55787484, 37652624, 15599166, -9875440, -2336289, 1375700, 194656, -107626, -8963, 4721, 212, -108, -2, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 2}
  • id: 2260101
    {'charpoly_factorization': [[[-179055689728, -239014232576, 363521128416, 265248201380, -227402338131, -36586926996, 38513542131, 1949178970, -3037923588, -47468446, 130693392, 542220, -3220620, -2522, 45132, 2, -333, 0, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 3}
  • id: 2260102
    {'charpoly_factorization': [[[-1611021129744384, 278104668162048, 16270854963170816, 4870792037187456, -2482207641267584, -551953691655872, 105032921516736, 18360009308584, -2109460754136, -283662491038, 23673684295, 2324402302, -156303430, -10304278, 598872, 23010, -1218, -20, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 5}
  • id: 2260103
    {'charpoly_factorization': [[[-20472360112378679040, -66998014842219764352, -9214013134566586480, 9602401906034926048, 91708824877838456, -286802690592535696, 4665908741245001, 3551521476773680, -94622285395116, -21680224491156, 687778196404, 68488598180, -2353006570, -112078024, 3989108, 90004, -3236, -28, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 7}
  • id: 2260104
    {'charpoly_factorization': [[[-11, 1], 18]], 'hecke_orbit_code': 45035996340815683, 'p': 11}
  • id: 2260105
    {'charpoly_factorization': [[[0, 1], 18]], 'hecke_orbit_code': 45035996340815683, 'p': 13}
  • id: 2260106
    {'charpoly_factorization': [[[-14946919805670229500969458073600, 3588812685659308608726979313664, -68600673572901020787799572480, -22171258671902550651604881408, 189921688254633460585931776, 32335049342980129134578688, -110197858278855425985536, -21213944946080291590784, -4230026503221348224, 7345477239476368608, 20792502126632256, -1391932679963504, -6506358859148, 141074291536, 831320592, -7086516, -47451, 138, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 17}
  • id: 2260107
    {'charpoly_factorization': [[[3422368535863143720634186235904, 770796392513502086422926984192, -82154985076928337823597235968, -14775390711508413496277345600, -243928025874623525039038800, 24408074050562602104873328, 531219584955732779382052, -14292329114650384927088, -354584148262095649224, 3591600927060706900, 107816910355726437, -387161536314584, -16697326248494, 13597327624, 1378159191, 359588, -58270, -24, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 19}
  • id: 2260108
    {'charpoly_factorization': [[[-69319293984212606322176341022976, 3236982131572370724720223253520, 1176269540212382953010578072532, 3259690562115046501887722280, -3742758243946687427745162163, -22443052403940236781453908, 4145887432972664603072171, 32994278753986118746334, -1927231278984937497100, -19009267958567192278, 379743977883005048, 3986844187646712, -37749153585892, -370659734526, 2133312384, 15543718, -70197, -236, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 23}
  • id: 2260109
    {'charpoly_factorization': [[[-1934589451514100522717653391813970231296, 23387494653516327367726835268681498624, 772647448806559590042235660883509248, -9433526975481040899596007653246976, -129576710511794658355648971350016, 1558675585978745620906917443584, 12482792099727593563643846656, -140744134812240643902969472, -783597599233833809942336, 7671216193187337732672, 33741062870050806992, -259379539145801624, -994423018802244, 5311925380544, 19036640692, -60073206, -210209, 286, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 29}
  • id: 2260110
    {'charpoly_factorization': [[[-76282535762453899431376212367245312, -60485150048700526169825471197347840, -7363861920512220262513587083935744, -201600127072118447498837771747328, 6595503211973471467998677276672, 220885220348058846863796468224, -3326734538045437715194408448, -44533667743660341936185088, 736928016942724758043776, 1771972388851782651488, -63562966698914404432, 154029372260658464, 1713411922480524, -8148639332982, -13092469263, 126496976, -76182, -642, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 31}
  • id: 2260111
    {'charpoly_factorization': [[[6605844495939038253734939369573793792, 937129277118556355555915137534986240, -129162266267390949700869742811528192, 999723726549320724040606931109376, 60591021717532001756763478327040, -641298569580660820173368959232, -9680693945528178346514973312, 117887962893856661879456448, 683559286408462088534048, -9868917374075654797976, -21215934376369113036, 427747187267749262, 136058638730155, -9897249303694, 7403346903, 115456554, -165015, -530, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 37}
  • id: 2260112
    {'charpoly_factorization': [[[16821171647894811448461357228895942017024, -348695760614313731170421568477294806016, -27770469779500491049020233037343425248, 726684334732120900222563533040036600, 4317836882192570995011615043291612, -186867854364544037821369747984008, 104793489190497353941415317352, 13301226162160135410464976894, -16799515425366733608639365, -426344643943361784470252, 582527205151686610593, 7193727405510819892, -10122755335931053, -66376850701602, 97363595849, 316502312, -490409, -608, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 41}
  • id: 2260113
    {'charpoly_factorization': [[[261860087121563196612424454025306693115904, 10960652456051006537553297225534261946368, 24434855156814448899541349051738535936, -3228129354743119028969675924579879424, -15861270436398433621251832208112640, 377765843548844192953467410743424, 1450551966368582704201979624064, -20487158000643880496804546176, -62846415842679467963387344, 577458757159810031971352, 1540216021308391540700, -8807710044368026112, -21688736694751520, 71651797726014, 167493519435, -290529618, -652680, 460, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 43}
  • id: 2260114
    {'charpoly_factorization': [[[1081704436875284239991469419684046757822464, -32349240617950149774807870272922012450816, -1500410265427805436908685673491640156160, 1165992576955268749648350977140490240, 239179304899900470068950553034899456, -72723716757552383414486294489088, -15659051276124250682028205053952, 21269056280897110304582627840, 471950444847254732565574912, -1108103994726411517267072, -6609079070063050794240, 21713159436546656960, 38765591325576032, -191166901920920, -28431224824, 741744874, -464161, -986, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 47}
  • id: 2260115
    {'charpoly_factorization': [[[2659658992786126857629751330472883446247424, -6488300811516433375621120016533002815201280, -184142878438860339715224479459324859215872, 232008396946273692917767052140623408128, 17215651359424435306624346367787459776, -22682737306977107859690118803110400, -575144725669104033972675063885648, 1160594878953881041515189128192, 8498745250061523862331452116, -23150294507329583188516848, -54562234022348123026103, 201647621750736041584, 121687988753690978, -836758633296232, 145632017687, 1637120216, -952918, -1216, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 53}
  • id: 2260116
    {'charpoly_factorization': [[[-147376650558279228671012405954010391569678336, -3676873643223783967145015925721995250630656, 86158947025750274327670547836201635707904, 1975162441494395844284984004056821731328, -13157888798145727186950738659493613312, -268862333628394994569027515874614784, -44856901371187336170811412461440, 7302486391035294656542089239040, 4417680093674119033623392096, -86731455375983090560398784, -30350704598463150590196, 523475509459180638032, -12308240922275899, -1635546567648630, 570105376851, 2441158844, -1410181, -1366, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 59}
  • id: 2260117
    {'charpoly_factorization': [[[-220921388916064961334755160125247284150009856, -15183482522133888413671780291756538325368832, -11970539953733202283602338850897567408128, 3605518995271296971874536420691995731968, 27703483056835031171079436703342644224, -37405461418333774258936312937641984, -915678890669810531107250470595328, -1340644337917428048590062344576, 11109868018163478167915432256, 31012838301612859819639264, -54959263676209830012896, -253381842831120947080, 40887245968236796, 948638425432616, 504221412280, -1563753482, -1373405, 922, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 61}
  • id: 2260118
    {'charpoly_factorization': [[[467699909474446296679778278620532965308891136, -2575537099760796534176850782698960397795328, -143246686461455934308448042135811478454272, 893505002178404474136085052989845426176, 11142652497602218381285939245970632704, -69322705827531221224677351098591744, -356195474099409817097254447809856, 2280096128450065971400333534784, 5058486041191101908620025552, -36630674258573922104579480, -26831615121638356358116, 294265323092707326832, -22369728164264483, -1143489260832534, 585270437987, 1976054204, -1506381, -1118, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 67}
  • id: 2260119
    {'charpoly_factorization': [[[-398541692265012044991467959250014025439485952, -47507330796315225522954155543110897506318336, 952790215493872558977077411144636003573760, 16822170445676668688345704547929842055680, -181262845686100210523096180755234185728, -2367612952800571675566051591989464704, 3940247403255828586914189205396416, 66826048299263583800451882872672, -47990130360899661826069032448, -580681163962844577399025288, 380591293367797035511368, 2255370656961821693474, -1620785773685846481, -4241777758634498, 3377709745331, 3626082598, -3098539, -1118, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 71}
  • id: 2260120
    {'charpoly_factorization': [[[-26847557054595753250724480349693417901225181184, -1086178620054421201339415707189444687752437760, 15844309725952026987912178770620174908662784, 4866899302323613312734112161655877841152, -778216405392711913493101617848684795040, 2337237404526014065943897472623902664, 10297796764178343428218051151406716, -60671552705632392792332009901426, 16829319458626134079305080847, 460256970484635923866293912, -908716334456172708531719, -510720501038292542416, 3226002734094587455, -2071138479624042, -3353161725147, 4641897468, -8717, -2444, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 73}
  • id: 2260121
    {'charpoly_factorization': [[[3887004879577604301674063395623228000361565388800, 59354709203995334565178228343004387690409885696, -66470883514534286673757166493598317405011968, -3102216427529289200845468615709993987014656, -5744846514047657397350555874331760590848, 44835977404877579274766400696197799936, 133479230307290280965055668689038336, -227232125962682618559410795542016, -971029225234565003217844993024, 466297454596307152871254528, 3424966346526963148340992, -254311818793230802272, -6681199298845048320, -388872616996080, 7359240013620, 546310904, -4263636, -180, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 79}
  • id: 2260122
    {'charpoly_factorization': [[[-82002369258727584473524052295096018022816459776, 9975591456047034544672931105743694852863944192, 1061622017172794341622610821105707666776514624, 4394849831402510621183242286209261715104896, -51106650887068127610068800244866216829024, -52205199331711691089507307978950476992, 645915414188146216263274962443985156, 126160249950034569982910381844496, -3536529926794378303134179526020, 512514068179105641989786240, 9763970157092518588214053, -2641077326956133285476, -14715925603440445218, 4172883583704044, 12359142277951, -2817385204, -5467538, 696, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 83}
  • id: 2260123
    {'charpoly_factorization': [[[-26067247388748174224155343162595079140504974131200, -603867642488207227039753769509339149241952501760, -2124749490863582704608739578316466368030703616, 20509679915062098300134531485268655570493440, 60762892130180439501007061812075049262080, -219445875298164952018333990981122966016, -650587539581617815420677665829477632, 987980154762844230991248200843392, 3495135964820465505592165018048, -1593090801226659512205513696, -9982136426712829742934720, -1493867136466144013784, 14901040092284014568, 8189077487462684, -10196347454215, -9544464124, 1384358, 3664, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 89}
  • id: 2260124
    {'charpoly_factorization': [[[4611252188844475193305790325784786111519726415904768, -60871136980637741414496875293992531807908022190080, -236044008552772314963239739332475503501459259392, 801599899903979769717887022853792939589345280, 2312317259264372690793961580570347119277056, -4974273039434332694761006962428578935296, -10049925895555266738316062402635549184, 18378634449673461206874611996220672, 22699348354987530505209812219456, -42001711064654766062891209344, -26179520952780386893652976, 58010285963078548195288, 11361622950298026568, -45699066185525960, 4007130520105, 18202941484, -4917082, -2660, 1], 1]], 'hecke_orbit_code': 45035996340815683, 'p': 97}
• mf_newform_portraits •

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

  
  {'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '1859.4.a.k', 'level': 1859, 'portrait': 'data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAAC4CAYAAABQMybHAAAABGdBTUEAALGPC/xhBQAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAAABmJLR0QA/wD/AP+gvaeTAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAAB3RJTUUH5AsHEzIWrMIGlQAAABBjYU52AAAA1wAAANcAAAAQAAAADnCbpecAAIAASURBVHja7P13vGVnfd+Lv5+yym6nzZleJI00GlUkIQkJBAJhmsEYDMbGxjh23G4c35ub303i2IkTpzjYjhMn9o3jDsbGFWMwIJpEkYQQ6l3TeztnTt19r/I8949ntb1nhLmO7w/jZL9Y7H32jObsvdZnfZ7P9/Mtj+B/Pf7GHh/++P1IKTY/c+DEtE2t3bbBw/ckjx3tcudL5sTt1zSX73s8ZduGlQ03X33aPnVgO6Ev2byhT7ORCiP3rINd2LDtVQBbgTVgIIT4Rn+1b9qH/kZ/gG+Wx6Fj5wAuMybdbBGmP4j484/8BXu2neHSrSuEyufIqY/Eq/alPzvorX6bFjY+fc5n85wg7g/prif+6dNLv3PytECkwx86OdWLzi4ssXUDnBhGTDVTb5gc+8Sv/N6+n33+1EfFf/k3P/wLC6eP/lmYPPVYb32/sgQghFTSWwCO1prbvtGn5Jvi8b+o4UUeLxw6jxXhjGeP3tlffRolZHx6dfofd4fy9VJYojjh8cefpFlb44ptbda6ipOLNTAjkjhhtmXZf9Ln2stSzp6XzE4ltBoBh89qUhMz3xScWY65brfh4EnJ3JTB933CUHP0vGStB1duStiza5a9V78Ei4dW0I/05/YdHf5yalPvrldexxWXbr8PO1oTctM3+pT9rXz8L4Bnj7W1JSy8sdkYXX70WNf8m1/5U/OeN05d1htt+ue9zmEaoc+xk+fodJaJYs1qX5Jan9CztALLYifh4Nkh2+ZCpmsKJWLmp3z27FT0hyDkiNPnNcMIziwLFD6DUczlOy2bZ3tIJI16xJaNXfYfn2NlrUYjTAl0TH9oaPcUUZIwMztPo7kNpUdcu+cyntq//PO3XXnu6I493y8jMS23bVSHgc9Mtea/0af0b8Xjf3qAv/DMA0gh7lxdj97wzOHl77z6svN7Rz2f3/nIAW6/bo2l8x4nlvps36CoBzA/bTi9GqCkRQrD1pmUE4shjbrlscMj+iNB6MPyOlw2r6nXAjbPJ9x5XYfnj07x2D7BCycSXn5tyrYNhkZDsHPzGktrijCAwcjyxP4NNGuSI4s+W2aHSAG+Sjm3ophqJEhStm2KWVpuMrCG19zQ4MTqNYTNlFe+ZGr/udVNH44T+VkhuO+Nr3/1N/oUf0Mf/9MBvNdtUwuD2XOLS//h13//s/7BEy+kP/bW8KWra1M3/9GnFti88TivvbHBvY9MM0jXef3NmgeeCtm9Y0Bv4HF2VTGKBYFOuHpHyqbZEStdyVNHpogTwZ5tQxa7iut3Dzh4zKMz1EQjuPXqHgdO1WnVIvad1tx2pSSKR3SGmqeOS268JKXd9bh8e0QUS545KljuhmyZgb07u/haEsVwbtWjO0q4YqvHl56yvPbmHqPBNJ/6ap9X37zODbt38sjBrSwP+o+9+7XLj2/ecIOa2/GmqN6a++k0iVZnZ6a+0Zfg/6+Pv/NB5pGjx/E9LT7yiQe462V9pUZ3/9rho8GVjz557pWnjp9W5xY7HDpxks3NKbbNNXjy8AbuvHGVl+6d4jOPNHn0cJ9LtljOntds3Wjpn7HE1jKKPU4tSTbNjRDCsmf7iBeOagJ/wO4tPgtLHjMtwW1Xxzx9yPDMkRb9uMuuzREv8aY4swxPHaxx5a6EnRvgyKKgFsQgFAdPaywx0kbsmLc0a6BEhKc82gPYsVFx/Kzg5r1dZuoNPvesoDUV8/JrWzz+vOWBx46wY2f3ZjNSN7+w/yhnvvoXqd/ccXU79g781of+6MfvuEqlm3e9CmMSu3Hzzm/0Jfr/9PF3EuArywtIqeRo2Ak/8qF/O3r923/6n6Rp+t5/8Wsn4n/xnv1XhWIm7K6FtHwY9SVPHBS893U9rru8ydmVkHseC3jHK9e5Yfccn3/S5/IdfTZPNzl+NuHWvRH7T/lMN2JA8tzxOltnDStrmgefT3nwEFy/y3L1DslqV/DAC5K7ro2ZbijWuk1OndOsdyzKi/j+N61xYqHFeldw05VDrr98CY8ZFpbnObUEV19iGESSYwsBM3XNvtOSK3dAtyu5ctcyl24N+fyjPsdXBrzzTsPi8gz7jkM7SrnxighhpjlwdMBzR/arg+ePvnpqpnfbf/4H9VtTc4s3Gg1//23v+alf2rfvUDA3OzWMk8Rs3/53z5n5OyVRrI0AT8K56bXzJ2/v9f3fOnz4cPKVRw7OPf3CQuuZkwmz88v8y3ePsOk2nj5Y46mDMQcXBrzh5W3uuKrB0wemue+ZiOm5Ht/xCsmz+5s88NyAq3YnbJ+tgR0gtMCTmsPnNBtbKe2RpRmOOHE+5flTKU01w+tv6bG23uThFyzXXiq4YmdKmghOLnmkqeGK7YJrLot5+HnBaq/P626W1BpnOXC8yfFzM9QDQbfvsWEq4cg5H1+PUFJhjWbH5lWu2aW4/8kZHjsa87Y722xqTHP/EyFPHutz2w1rvPkWn8Mn5nnqgOHpIzF92eNfft95tk1v5ODJDawNNnUaM5eu7N59uR7E/Mj81ssf2nvJ1Hqnh9k0+3cHFn9nGPz0mVVOnm5fsrK6b/sVu+IPy/6npo49nzaOn7SkkaZZh63TlmeOz/DlfQt8x+1r7Ghr2j1NZxDw4c83mGt2uH6PZhg1+PJzlo8+2Oedr2wThk2eOOSxda7HXMvn1KKmM0jp9wc0NnnERjPbUGydkbzq2gFPHkrQUhD4CUE94bGjikbTY/uGiFEC2+bgxiuXaPc1o2SG2GiePS55+uAuAhUS+Cl6esRgBFOtAZcCnZ7PqfMpc9N95qeafPZhn2dPRrz91T22T7d48OmQZ44NuXr3Gt/zmpSDx2c4clpw+nzCuXbKW17d4ZqdNfYdbXB+VXDszELr5MKxVjt6BNXa8Gc/+j1xWwyT77z6iitPJ8OV4zqc+0Zf0r+Rxzc9wK21AFd+/FNf2qqV/xvPHHjmik/Fn1HfflubDVNbWZ/eQG+o6Q40g5GhM4QPfnaWrXMr3L5H0x9uYBR7DKI6D78QEcVrXL8HAr/OI/sVH7m/zbWXrPPK6xscOtViaX1IzU+YnzHs2aY4t6JYbUs63ZRmbUTge2yfjzi24KHlgLe/QvP4AY+rdq0zPd3h7ifqdAYBG6YaPHHQ5+rLusxNeRw/L9g27xGGMTNhiqclUgoe2zfLVKNPzR9x+Q6FL2t8+RlLvb7OO18NTW+aLzzqs//0gOv3rnLjbjh1djP7jnocPxvz/GnLzdet8QOvizm9uIWFlZClNVjrJLT7gufODpD6ycaD9z3Y2Py61923eFYcGkXxj1lrzwIHvtmzqN+0ADfReYSnrzh57OmXnFkY/KMjR47c+fDj+3jyYIeznW3sOyz5p9/dYcuGGv2hYjD0GY08BiNL72yNux9u8PJrVrjxSgXMYK3HU4dn+MCBHu+8q8PtV8VsmG7w2L4ZPvfwkC0bhuzdJdg4pTly1qM/jOn1od0TaG3ZtiEFJZEyYtCXnFsLwdTYOBVx+bY+Dz4TMCLhO+6ISaM6h09L5mc02+YExiQsrWk6wxGD2Kfb89mxYcRca4hSEq0Fcaw5chrmZ/rcdn3C1hnNwRNTfHk/nF3tcvP1Xd796pRTZzfz5IGAAycSnjyaEosub7l1yHCwgdOLdRZWJEtrMSvthNOrEhUM+en3tPn2l2lOnHlMPfHw2b3T81d9sd1/+L5RGv7X0wtrT6dJcmjX9m9OX119oz/AX+dx7sxphkntkvNn9v3nU8f3/ev77n/okuf3HWE4ivC0JE4Vz53w2L6pwyuuiYljnzjVGKuwVqAxnFzwOb5suGRLh80zUA9CQk+j0Dx1RLGwPqTVirjmUsOV2wO6vZDTSwJfx8RWcXbN4+ySoRMJtNZsmk5YXDMcP+cz05QINBtnY1a7lusuGSJlnXMrdfZsCzh4IuDUsuXqS0YsrkrixGMQKa7cESOEpduXbJpOmJ8dsXE2wpPQ7iuCAPZsF6ytNfn84zUOnR0yO9vmNS8dcNuVAUdObuSpAz7PH004uhTRnG7z99/Y45pdU5w4N83JBY+zSymLKzEnVwQHlyxvu2ORH3pjwlp7joWVKZZWLYePnOOZ549dsroefzfW7tp72aaHfvwf/sT6f/7P//kbfen/Xz++qdafg8cOIWRt3o5O/aPhyhPXLSz2337yxDFWOwHn1wQr6zHL7YTFNcuxVcHcfJuf+q5lXranwbGzc5xcqHP6vOLs+ZSTCzFHlwy63uOdr+zxllt9Ti7Mse9YwOHThn0nY1I5ZMfGiJdfZ9i1UXJyocGpRclqxzBMDFLCTBPmpxJWO5pOTzHTitBCM9NKCYOYh/cFXLbZMD+TcG65hqcMZ1YMG2csl22J+Oq+AN9XzDVBqZgNDVjrCVZ6go0tw2wrRkoYRYrVjubEoubkUsKuzUNuvy5h+7yGtM7+Y3WOnLa8cCLlxMqIN75ijXe8ckRNzXD83AzHz2rOnk85uxxzcslycMlyyzVL/OS7OmyemuHM0jQLyyHn1z2W1+Dc0pDF5SGXX34Fujbz0be9+YZnr79q639td4dLWzfv+UZD4et+fNMA/B/9wkdJbNgK5MpvXrvlme+64/IleeyUpt2vsdbRLK1LVtspK+sRK+2Uc2twaEmweeMaP/OeVW65osmJc3OcWqxxdklzdinlzFLM/tMGHQ544+0dXnejoaanOH2+yfGzHkdOw+mVFE8PmGqmnO8o+v2ENEkQCIKwxo6NHldsiZieijm3Imj3NJdvjcFCZODEYkh3YGnVBHVfIEkIgpRWPaXT9zlxHkbGx1jL3q0R3X7K2WXNTNPjsq0JOzf1aNRHCGmJIkG7X2Op7TNTF3jS4+x5n8NnBMcXEk6uJAS1Pq+9ucebb4VATnPgRIuTi4pzOXMvWQ4vW156zRI/8541ts5Mc+LcLOeWayyveSytSVbWE1Y7MWvdlNV2wvlhgx98Z2h+6Nu3/enMptaP0o87YuaHvtGQ+Loef6sBvrbeptOz+B7vO3LiwMsXjv2ubPdXX379rjN6vjnPueVZVto1Vto+K+ualbZgtZ2y2o5ZWU9ZWIcjK4L5Dev8m/eucMueOqcWZzl7vsHZZc3iimVhOeH0Usr5bsL07JBXXNfjZXvBlzUCFbC4GnJuWbOwKuiPIEkMoW9ohCkzUwkGOLGQ0OnBrk0ejdoIawUIn97AsHPziJV1DdZJkfUejBKwWFbbEds2enQHCqEswoxohR47twxZ7wtOnNWkRjPXkjRDQeBBkgj6I8nCquTcimVxLSEIhuAl3HZ1j5dfI5hv1VhZa3FqMeDsMiwuJyyuJpxZhSMrlpdevcy/fe8am6dbnFyYZWGlxtKaz3Jbsrruzt9aN2Wta1jqSg6tWOaaZ3n7q2pJpLZ+5Z/94HeaS3bs/YpU5qdGkUdYa32jofKij7+1QeYn7/44M9NTnF9a+rkPf+y+f/yhTz0enFkcMT835Jd/XDC9pcdgFJCmEpMK0lRgjMZahTNWQIgUISxHV2b4Nx8S/NzfX+TGSyOatVkatSatekCz7jHdUiyuKBbWNJ9/KORTDyZcsaPP3ssSVtcGXLVjxLvfYIgThcDyia+GnG+H1NIRx88per0m11+ecr6TsO+Ax54dkkNn4bYrod2FyGgCHbGhAQfP1KjXYgKVMNUUrHfh1qu6HDkdsGeX4djZEc8fcf+et2PIkUXLVHPEaifik5+vY4UiTVPuvKHP7TdaFtY9btw9ZPdWjyRu0R/U2Hc0ZGFZsLSWcn4tYXHVcHJVsNiLuGHPCv/qe3vMt2Y4cW6axZUaS+seK23JWjul3Y3p9FPafctaX3C+L4lGI7btTHjnHcf11vmVV40Whhzu3nX7lktebaamW//iU3d/hG998zu+0ZC56ONvJYP/u1/5c764r6nee8f6vzq/cO5ffPXxo+rwmRFnuprzg5gbLl3iP//YMjfurrGwOsPKeoPVdshqx2O1rVnrwlo7Za2TsNpNWG7DqTWBrg25/ZpVvutVEZdubLDea3F+tcbSqs9yW7DaNqy0DWtdQ2dg6Iws/WHCXCtm5yYDCALPcvq8h5ABuzYqLt1q2bqxz+LaiKcPNbnpCku9tsZzh2dpNiKiyGNuxjAYwlU7h/zhF6e5ckfCaGTZMCWJ0wHNMOD540NqXoMb9iQ8czRiccVn21zApVtg5+YIpWJOL4PvWYSw7NqUMNOUdAcBvb5Hp++x2lGsrsNK27DaTllupyy0YWWYsnNbj++6c5nb92pCr8W55RbLayHL65rVjmCtbVjvOuZe71pWerDQkyysp9x65QK/+GPLXLUrZK3T4txSi3MrsyTq0nR2dubnvuWN9X977sgw3Xr5936joXPB428VwA8cOECtXqudOXVy58fuffZdJ04v/Pve6lkEktWuZaUnWexLznVjXnrZIv/px1a5/rIa59emWVlvsNZxIF/raNY60O4a1rsJa92E1Y5lsS0427Mgerz9jjZvusVw2ZaQKKqz1g5Z7/m0u4q1nqDbFwxHliixpCkoaQk8qAWW6ZZl42yM9oYcORfx7OEAkzR4w60R2lvn8X1TXLIFPv1Iwh3XBpxvDwi1IkljZmcgiT20l7CyUucVN3b49ENNLt0Cjx0a4VHn9bcYEjHg2SMpx06HaOmzaUYz0xDUAoHvC5SAxEAUW4YRdPuW9Z6h2zes9w0rPcsgTdm1vc+bXtbm7S+PwDRZWZ/i/GqNlbbHakez1ob1bkq7l7DeTVnvWVZ7cK6rWOokvHTPIr/4Y0tcvavG8voU650Gq52Q5bWAUZxw2SVzNKe2/MtY3fRnW7ZuOxlHw8HlV/ztCUL/1gB8ZXE/sxs3+EcPHf2BZ547/Guf+/yTYmm1K4UUJImlN7R0BrA+kJwfSM51Im65Yolf+OEVbrw8ZHk9B3nAetdnratZ7wraXUu7l7LeTWj3DGs9y/mu4FzbMDPd51te2uW2vQm7NilaNY9ONyTwJKCIEokxAmOhPwSEYaY55NAZi7ER9zzWYNSvcfk2n9uv6xObde5/YpobrvA4tNCjvdbiZdf1+fzjAZtmLftOWP7h2zrsOx6waVZy7xOK269SrPY7HD01yw17Iu5/dkAyqnPb1T67dwwZJD0+97iCVHDktKZV12gB/YHEWEFqLHECSIP2De2epdGM2bFlxMuv6vMtNyXMNUIWV6dYWa+x1nHnZq0jaPeg3U1o9xLaPSdLVvuSha5guZtw65Xn+bkfXub6ywKW1qZZ79bp9AI6PZ/uQBMnAqxllNbM1Py1dsu2y3/8kkt3f2B1dSm66SVXfaMhBfwtAfj5tUR2+/23PPjQX1z+kh32Fx/48tPeyUVJp28ZjlKGkWEwtPRGhu5AsD4QDuTthNuuOs/7fniJm3b7rHemWFpr0u6FrHd91nuadlfR7kO3Z+n0Ezq9lN7A0O5blnqCpR7E6YjrrxiweTal17e88WUjLtlsSFKJlpYohvueDjl5PmTLTMJzR0IwdfZuV9x4pSEI+zx+qM/ScoNrLmnQml7joWc8br4iZKW/ztpai82bLY/sU3zva3o8uk+zfaPHcq/N2uosN17V56HnUmZr01xzeY/z7TaPvDBNTTd46ZWWPTuHIHs8fUywcTZmcSnm/qc9hrFCSkiN5ZItEd/ysohuT7F1xnDjFRBFdVbbdVbbAes9j05f0e5JOj3o9FM6vZRuP6XTN6z3LasDyZmOoD0YcfueJf7tD63x0ivczdHu1uj0A7p9j+5Au+TZSDIYClbbCSfODdl77S3xjVcn/+yNb3jHYa0bnxQiMN9obH3Dg8zBoE+SDN771L4nfvnsiSOzc/EKvh8y3VIIYdFSoGSCEAaEQOA0qJIWJTWPHtzET/2O5m23r/Ldr1nl0m0RCystAr9GLfCpBx6NmqZbkzQHHlMNTX+Y0hukbBoZBiNLdxiwuhRy+pQlSgxnFhKCwAICX7nP0B8oBB5JX/OSSwS7t1p2buszSrt85lHF/sMzvO6mgBuvWuODn7H4os4l2/o885Bi27RiQ6tPqGpEscf5LjRCzfZNgqf2R9y4p8arbljm9+4e4HtNXnurxQv6fOGRiE8/3OCFYzUu21rnki0p8zMRl26IufaSFKUMWlnAUg8C5qcDotij2/d57pBHb6jpDxS9oaQ3gN7Q0uu7794dpPQGls7Asj6Apb5icc1Sn2rzE29Y4ttvH3H9ZQ3OLbdo90K6BbgV/aH7N/tDQW9g6Q4sIPnSA496dTnzy1s3PbV65VU3/+Nev/97jXr9f16AR8M+CPFDx44+/L5j++6bDdN1VjseQkDoW9KaABRCZI4IIIVBCosSFiVTfCl55tA8Tx5scOjsed728h4vv3rIdLPFartOoxPSGvj0+ppudrEHQ01/pBmOLMPIEMWWOLYkqTuixMcakErgaUHoC6abgpkmbN5g2L6pz4aZNp99HB540kOaKV53k8dL9nZ58IWYaNji9pcI2oMB51ca3LbHsGG6T00HDBPFUidGGcFL9mjqzRFPHAh55Y1TvOz6Lk8cUGCnuOlqn7//5lU+/1TEvY822HcyZOe8YvNsjZlmnakm1ALwtEVJMBb2HXNuUpwIogRGMe47jlIGI8NwZOgPDf2RoTeAzgiWepLzXRiZIXfdsMpbXt7me15rSJIWC8sNOv2QXt+nO/DoDRS9gaQ/lPRGgv7Q0h+kjKIUgOkGPP3cKqfO3DP7qjuT//iGb3ml7nb7v9NsfuNA/g0DeDxcRar07589/sD7zh370sa5Zp+k7mFS0MpSCyzWgkUghEJIgRCgpEBJg1IWrSyeMtQ8wXK/xp98cTtfeLLDHdeu85671rn20h5z03VW1ut0BwH9gZcBW7kjEoxiSZwIksQt9bnFqKRFawh9qNcMs82YbRv7JPQ4dCbmT+8POXqqwXRQ4+arNbdd1+GRg23u+WqLW68I2bmlzx9+UaBEQKsZs94bYSwoAfOtPp2uj0lqvOWO8/zJp+vsXgx50619oniF+5+dI05Dbrl6I2+6ucMVO9p84Yk+z5yq8/Qxn+2zktmWoB4IfM/dhFKAEBZjwRhLnGQ3a2wZxe5GHkYwiKA7FKyNBKtdEHrIDVeu855vWeeOq1PmWjXWOnXa3RrdfkBv6NEbZCtBJkn6Q0E/u3GchLTEqVvx2n3B4uoKxxbu2dju2/d92xvvsOcW1393y6bp/zkA/vGPfpCvnm7wHz9w7/e/4aYzvzjvPbOhGcTI6RqDyBJFEhUpBGCRAAgEUkik1CiVopTIlmeDpy2BttS0YG2oWGnP8OH7Gjz8XI/br1/nPa9d54bdbebSGkkS0B+G9AYeg5EmihVxIklSSWoExjoJJIUl8A31MCHwI3xvxJmVEXc/Jjl82ufY6RmUCdi9xeeqSxU37e2ggiWePdJk23Sday6DzfNrrHZaXLtNkhjLZx8NGPUl042E198y5JP3x5xcaHLl5R7n1oc8f9Rjx6YZrr90iQef6fLQ84JR5LP30ln27gjYu73LkXOrHD4Dj+6vc+hog7oWBFrSCCyhB1K6oMpad7MmKUQJRKmgNxJ0hoJODJFJMHbIS6/o8J5v6XDHtSlbZgOGwylW2iHdXkBv6NMfaHpDleltwWAoGYxc36gDtlsZRpFhFDnHaZTAcKQ4vtzhP33wCxuX1o/84rtfGybdhd/44EfvneP7vvddf3cB/hcf/W1sN+LVu9Pv+YvPn/uVX33umel//r3LbN4wzfK6wBv6DJRGKYtUToNLIVFSopVAKYVWAq0MWqV4WuBrg+9ZAs9S91OmQ0F35LHWmeEjD7T44tNDNs30ededbfbuGDIc9LjmUsuOzYpR7JGmitRIbA5uafB0yolFy7EFwfrA8PEH65xZnsFGHjOhYuucZtdmzWXb4JrdHYxc5rc+2WB1dYpb92qu2d3mC08LROKxcUbSqCf0Yx9pJViJ0j7toWBxVXC1rXPnTV2+8kSNrRt8br1mlh988zIf+HSXRw806A09VtabXLq1xpVb+tyyp8t3vLLL2dVVPv5gwEo/4MQ5jzNnfDwlkFIiEBhrSQ3ExpImhpm5mOuu7jMaxezdMeKdd47YOKWYbQbEcci5pZD+wKc/cqvcoAC2dOAeCYYj3EpQMLdhGFlGkWWY2ZWDWNAdCRa6mnpyhnp6YMO+/Tf9ytHlK+MHH6790Sc++X6+7S0/+HcP4Pd/4SO88jXfIT7x8fd/5/L6wd8+tXC2vj4AZESj3mcUK6RwAJPSQ0qLEM4lUJIC5Fplz1rg6RRfC3zPEHqWWmypR5apMGWmJuhHkm7U4NjpBr/wR7NgEkSScNN1fS7dHJEkYKzBWpfEkUIglUB7PgdO+uw7HNIINU1fsqEumJ+TbJzVbJ1X7NqScuWudVKxwq9+tMWJk9Pcusdj7yUpg6TLV58NmK55zE1ZppsR9ZqTQsZI2kPFas+y0k5p92q84pp1HtvXZ/9JxXQr5Jarp/nht6zw3z4GTxxu0BtY1ruaxdUWmzfU2TgzZNfckH/ynX1a9TbPHIMDpySeZ1HKuoAc6/5nIUngks0pt1+bkMYecRJgbZ1h5LGw7DMYuRVtGKlCvg0iwXAkGEaOtUeRY23H1oZhZDLpkx8O3P1IsBpJVkeGufqQ3Vu6nDv/1PTphfi3X3/npcniwns//Hu/37J/773f+XcH4H/2id/kwZM9xX2//vaNjeUP7mgcCr/vTWt85mFBKmLCcEh9pDMGdYdSOnNKLEopp7m1zIAt8D3FyJOMIkMQpYxiSy02jGJDFFlaCYxiwyiBKBEMY8koDYjTkP2HGzy9H1JrcdB22tiT4CtX89EM4Jot0KrBVEMy01TMTWs2zsLOzSO2zK8T21V+9aNTHDk6xY2XKS7bLtm9fY0vPZ+wuDLFTZdKZlqG0B8QyACrBEkqEdaSpBFrvZDFFY8b99Z4yZ4uDz4RsmlGUA+b3LjH8BNvX+FXPmZ4/kyT9Z5hvatYWtNsmG4w06ox05qiVY+Zb8TsujEi8BI8naBUihQumLC4myqOFeeXNHGiiBNFFCtGcfYcSUaxZBRJhpFkFAkXoEaCUWQdqGPDaJRWNL1lFDtdP4wFgxj6kaAdCVYiSKMILWKOLQ755EMhzx06W7/rluYHX3LN75r3vjX96Cc//d/Tt7zpH3zzA/x9//VPOHGsoXrDpXfee/7U771055Ohp6AeRDRrijPLlj1bhjRrEgEI6VhcKZOB2+Jpi6eUe9YS3xPuIniCka+IYgf0OLZEibsIcVI5UkhSS5oaUoPT24YC3C54BS3B8yDQgjAQ1ANJo66YqktmpgQbZxN2be7TbKzz0a9E3P/sLOvLLa7bqdi1xeOKHUNSsc5nH63T8DTzM4pmfcizR+CFo5prd1j6I8X1V8Rct9uycC5lac1nMKzzhpu7fPmZAYfOKBo1SeC3uPYyw7/9/hXue37AJ+/bwErHsmtjylpbM91STDU8mnWPRs0SBobANwQ6Rat8JXTXwFpcwsoIEiNJUkGSCOJEEiWCOJaMYue8RLEgii1RBKM4JYoNUYU4RnF+ZC5NLBhE0I8F67GkHcNwNEKYHts2jOgOIY4tO7cPOHDqsfBbbtv5B4unL/97N+/Z+udHn/tQetm17/nmBnjoGRlFK9999Mi5X//so0thLDZi4iHWNukPYd/RHkfv7PKuu/pMtQyqn6KkyXS2yWSIxtOaIFIMvYxtPEnkC6JYuIsTK+IEolg6ByEpbb8kNaSpcxdSmzklRUGWyGSQkz2+FgS+JAwkjZqgVbdMNw2bZkfMz3RJ7Dof/rLkA5+eY2MYct1Owc4tHpdsNezassZHv2pZXQ3Zu1kx04JmPWbxuOT8WoB/KYxiwfyUZHoaDh2zrHUMC8shV1wS8pqbutz9QMhcEwLfR8lprt0t+JE3nceT5/nEgzO8cCZkUydm43TCVEPRrCnqNUkt0AQ+BB5o7RwmKUCKCshxN3ZqIE0FSUoGdIhTS5RAHKeOFGJDlD/HhiiGUZK7Mg7cg0QwjAW9WLCeCLqRJRmOmAo7fNcbVnjnq7u8+vqU73/DMqldZzTyGQ5GYb899dtR1NBCeH+M45lvToD/0Z/+JWlqvv+Brx79T0ePnmxtqPks9EMGaYsoMViZ8JmHazz0bI1za6v8w+8YMNNKCIOETi9Eax9Pe9mREnkaP1aMYknkuVS6YxzhmChjpSSBOIU0dU6CMS7gMsbmPZwZuB3AlRJoJfC0A0gYQD00NGsJ082E+ekBG2bW+cr+iD+4p8aBY9NcMuWxezNs3+yzfRNcubNDP+nwyL4WNeUxP6OYbsJ0c8TMVILva4RwN9dg5LPaiVnvW9q9hPNrPjs3N3nZ3vPc82ifA2da1IMYT/kIMcXubYrve+0yL73yPH9wT5NHnptmpafZ2EqYrifUQ0ktVASeIPAknudiFaXI7EOHcovrYTWGAuhJarLVLbMWE0OSOnAnMUSJLY/YuTLDDNj9WNBNBN0EhsMEEw+Yq3f48Xes8n99T49G6DHsh2jhQaohrTEYNVhePd3y696vtjZc6z/xyN0fuOnWN3/zAXx1tY1S8of++M8++r6Fc2fmQl8ybd24s7Yn6CaafqIZaY/1kc9/+lOffUfWeMsre9x5Q5dNGyK63RqDkY/v+QS+xyjSBLGz9yLfATyOJVHilt04yTztlMz6I2NuibGU4HaWbRHAauUSJr5nCX1DLUxohgkzrRFbNnRYbPf5tY97fPaxWVbXGlw+L9i5UbBto8/2jYJLtw7R/jp/cr/m6KkGezZJZpqSqUaKlCPOLFkCLZECrBVEsWbXxg6PktLpK9Y6lsXVGnu2h3zHnW3+/As+xxcDPB0jhIexDeJEctOla+x6d4fPPtHnDz87y+PHG2ybEWxopDTClNAXBJ7A9ySeFmiFC5ylKGoyLO4mMxbntKQO8DnIk9RJOgd2iFJX6xLlyaNEMEigm0i6MQxiQ9ofsX1Dh1fduM5bX9nnjTeneKLO+lpIlHhEscco9hkMfXoDnyTVrCwszIlg9y/edse3qeGg+zthrfnNA/Bk1EZ53g8+/NBD7zt57ODGeigcg2byQAoIpKUmBb1U0Zc12rHHn3wp5L5nuty4t8O7X9vnW29ts2HKpz8MGYx8As/LTpguAqUkUcSpJEkkcSpIEkmaClIjSq1tBIUqsY65pQClMo2vDL5nCPyUWpDQrI3YMN1jEA/4wrOWP/3SFI88N82M73HtNsuWWcmmOZ+t85LtmyIu27bGM8cHfPzL80wpzfyUoNUQtOox7X7Kp78a0vQtQjhgDUaat9w+4lMPu5qYds9wfk2zfWOTt728xyP7u+w75NMIEpQUDuSmzjByWv/7XtNmz5bz/Ml9HR56YZqTazU2twRToaXuG0Jt8D2ctSrdjeyYHPLyo/xaGFOucEkGdEcQEKeCOM2AnQqGiaCfCLopjCJDEkU0aj3e9ro13v3aDjfuSdk0qxkMmnS6fgXcmlHkMRx5DDIbstNTnH9m/8ah2fC+m2+5wywudd6/af5vvnHibxTgyWiVux+Lef6Ueq8efuaXOufvm5PWBYaeTgk8gTGORZUET0GQQKgEPeUx8BSnOz5nH67z8LM9/vzaLu+8q8/rb19ndtonGgWMspMWJ5o4A3qSKpI0S9ikJcCNzZjblDVlQtgsqHR1HFobfC8l8GNqQUSzNiBlwOefkPzRF6d57tgUIg64ZMayZdqyYVoxP+uzeYNk63zMzs0dTi11+Y1PNkhGNbZvF0w3Na0GtOoxwovoDBpMNy1CCKyFOJHMBorEJHRjn24/Za2jOLNU4+rLmvzot63zi38ccGKpgVZxdmNokiRkGEk2zwXcdHmH6y7r8fyJM/zpl2rc8/g0Z9s1GoGi6UPDs/ja4inQ0qXzhRivrjOANe6mS40gtZCkjoziVBClLkk0SAWDFAaJJUkSTDxiLhzwhrvWedddHe64NmGqponiBmttVw8Tx46IokS750gxjDSjSBHHLvdw7NQa9z7+2Y3fM+z/0ne+5RWJtYd+//zyZv4mgf43CvDhsM9bb6+99aN3f/W//eHHvtTyRQefOknilkpPWoxHViwlUNLiSYufCkLlTmRfBfQTj/OjkE880uD+5/vccm+P//0dXa7a2WHjtKJV10SxY4gkKUGe5gA3EmOlS/VbUenwcbUsLs1v0Doh8BM8FdEZxCx1Yv7rR0OOnZ/hiX3TWOMzVxNs3GDZMCWYaynmpj02zUk2zyVsm+8zN73GZ580PP7CNNdtF8w0Jc26pFU3NGoRwhsRBBqt3O+3FtJUMhhpBsOYxAi6A0O3Z1nteCystLjtyh4vu3qdP7k3pLaq0DJ2gLSaJPWJYslg5LFhOuSlu3u89PIej77qLCeWJH9wzzTn1+ucXgnwlaThCfxchkkXeBZEnksVHJMnVpAYiI1glMIwgchYSBNIYqQasXVmwHW73PW4+aqUVk2TJA3a3YBR7JNkgI6TPFOss1hJFZljY5wkvGKn4fJLztCM7p47tK/+38KZl62ZtP/xv0lM/o0B/JEn9tOY2qb+/C8+ePkXv3KwdfBQn0YtZK5pqAeujkTrvLaErGAKYinQqcVPIUgtdSUYKEFfBwxSj5Woxj2PT/GVFwY0ghF/741tts8lXLJ1wG3XdNFC0axrhHByxWUlXa20tRXmxiKkRQnnmVsSkAnPH5M8tl9z9yNNnj/ZJErqNLVivmaZbVhm6tb54C3N7JRmblqweTZh6/yALfNr3P/ciN+6eyNbpjXzLWg1FK2GoFlPqAUjvnLQMZfXcKCyVhAlklArbtgz4OFnp13h0yBlveOxvB6wuDzDj75pkdPLKzz81DyeBESMgQxAHqNI0htoZpoh060GL9vT51XX9Xn3q5fYf8rwqUdCHtlf4+DRBonQjEaKfqxQQiKEmAg8s5yANSTGYo3BEylTfkRIzMtu7HHpliHbN8S85/Ujar6kUfOIojrtrmNrB2TPScZEuhW2eF3GSnHi5KKvLTNNmJtuouWI55+5tyXrpy7/trd8v+qu7k+bs3v/9gD8+edf4PLLNvn3PfDID7xwxP6np19YY/OsJvTAzwqBXFmJcOl3CUo4BlepRWeaz8v86lAJ6qlgaGCYegxTj34a0u2m/NKfzGCTmE3zQ67eOWRuKuGdrxmwc2NEHItMb0uoMDeZ/pTSIKTgI/fVeOZIA6E1J87WObNYJ6wppgLBdMPSCg2tEJo1wVRd0WoqZpqauWnYMJ2waW7Ito0dUrvOR77cYtBrcMV2S6uuaNYlzZqhGSZ4XsRnHw4Z9SXeRncKconSqCnecMuAB5409EaS3iCl09esdzULK3WuurTJO+/o8MTzdU6sNlHSAHGmlz3i1LlJw0jSG2raPZ9mrU6jNuKq7UNuvXLIqfNtjp9bR3spTx/V/PmX6gilHLiFHL+I1gAGrCWOUnZtSnjXawZsaKVcucuyaQ7SxGMUNUkS1zWVxJo41Vkc5BJIRUwUu/k0ud/u4iSRSSBHcsNIsrQWEngerXCNTZvNfzp68NE+wRUfOHxoX3T5Ff/jTRN/IwBfXjrNsL+8Z+HsqV879Pyj8pKNcgxY2WroyjpNnnq3qNSxdx7cOIAL/NQSGks9FcTGEqWCkZGMUklkPGIDS70WX3rGYEn5y0dihEjdRbLuIpH9Tncxs4pEIZFKkcQaaTSeljQDuHTe0vAM9cBQD6AeCBo1SbPm5NBUUzLTgrmphPmZEVvnu6Ss8V//IuTBZzeyew5m6hl71yXNWkK9FtGoD6jV6gRKomSmwXHnII49hgPBYJTSHSl6Q0N3YFzLXMPn9OIUr7h6xE985yK//Oeak+sBQhisjTGpJU48olgyHLky1uZA0wh96rWQelAnDGKatYibrojwvZibr0h4z119tEqyJJBBCDsuyjNJZ4xECEngKcBnONKsrGlXt5PmMU8mC3Pw5nFQVrzm7FqRxUaiONJUZI6WYAT0hxIhNNb6vHD0Gbn90vDXpucGX07i4XN/E9j8Hwb4qQN/yMxMr3bo0KG391ZOist21Oj2XXo3Nc6CsrYs40zTjLkV6NTZeNXoPa+CS40gMSX4E+P0oTsEkZEkVpIaTWwC0sz2qj6KLKUALYTLVCoIa5ZQW0KVEngQaFd/XgsENV9Sr0nqoXYAbwimm4bZVsLc9IiNsz22blzht+42/OE9m9gxrdjQNLQaimZd0ahDvZbSrMWcWzEcORcQ+u6GhrzSTzCMNJduNmzeMKQz9F3H0iCl05esdzXNWkizPs177jrP0XML/PbHt6GlxmJITUpiLHHigrZB5Iqi+qGkPtTUAo9akNLuuhjD91I8neJ5KVq6RgkpXTpfZAdZaTKIDOSCtsmqLI2La9JUYowkMWW844Dr/jxJBGmauVlZsJ9MHKmhcLacVelAP4osax3L04efEPPbOm/ftO2yI+/7vz88+Kmf+B+rWfkfBvj+455fP7v0z2eDI/98uj6SG2dCtBYMhpYoNqSpJTW2eDbKWVLaiCIRo4vsWpZ8KP4+lcOWafasUi4/QXmgVNXcQJbJc4GVlgYtyWrIwVPCldp6LnsZBpLQl9QCRS1UNGuSZt0y1UiZbibMtkZsmOmzc9MKjxwc8Sf3bWUmDNjUNLTqwoG7JmmEhkaY0KyPeOQAPL2/zuXzNtO9Zdp8MFLcfKXlip0DHn1umv7IMhim9AY6A7lHPaxRC6f5rleu8vTB8zy8bzNYhTGpI4LEksS2qCcZjDT1oaUWKkLfEPgegZ8SaIPWKZ522eG8DEJKVxqMsAhKPVcG566E2OSOlMnt14oVm5UalwCWRZY0rbB2YkRxfdMM6C7R5BqnB0PDejfl7NJQHl1f+Fffvn3Gv27P1M8B0TcM4P3+SMbR4Gef+Mpv/ePO4Kzve3PUa4Y4lUgh0FoRJ5Y0sRloTQF2YyBVFp3fAEZkf5bXipQANzbPvFmMzVcFiuRNJfM+tuLmqeqyIjHLWCrwiqItl/0LfEUYKGqBoF4TNGuWVj1lqpEw3RwxNzVg6/waDx8Y8LO/t4mTp6e5bINhug6tmqJRUzRCaIQptTDG94a0hxYlFZ6ySFl+MgcISZz4tGox/cTQz+qs+8OUbl/Srinq3YAwaHLJ5ph/+wNt/vUHJV/dtwmLwlhDmhqSNCFKDFGsGEaKQSCpjRShLwl8S+ArAm3wPOf3a2UdwFVW1JbJFCHseINultq3GYlYkwO9mmMQWZJIZu9l4E3dautuAFFc0yQtiSzJ4q0kcUVbg2HKYGhIjeD4idP+yWNT/+x73/o6bzQY/MugVvtrp/P/2gC39jzWrv3ccPlT/2jKOxQOhjWksPjaEPru7s87cBIlUKnN7lyLKUCdg70EeZlWz0CdgdsaW7J1VgaaH0wAXIjycAFt1gmknF2ms1Y0T0sCX+J7ijBwIxlqgaURGpr1lFY9ZqoZMdsasHV+nYf39/nXH9jAgZOz7Jp1DkuzJmnUpWPvmqUeptTDmDiN+NC9TaRSeNI5RgWD21ybenzf69b43OMR3SignwG8N1B0e4p2oAn9gMBrceWOhH//91f4mQ8IHnpuE8ZKUuPS6nHiCs1GkWEUunLXIBCEniDwXWbT17bI2GplkMp54zIL+guAlylPIDvXuFxC/tlTI7BF0Zrzz02RXBtn6HSMuasAt9lnt0SRqy2PEkdgM6Hi3oeOheHMvf/nD3/3XeL0wspPbd/815tX/tcG+IOPncAY87Lf//PHam+6cYlL5qdZ6zpAedoB1pIVMqWgEkGqxDioU4tRFGA3FYZ2r7Nnk7FIpuXzYqkqc+ePHOB5DUaeycvZW+u87kTiedLVb/iCMHAzT+pBSqPmwN1qREy3BsxPt3lkf5+fff8sz5/YwPYZwVyjIk1CTSN09Su1MKEWRHjeiDMrM3jKtdg5W64MMtNUkiSKLTOWJInpxGHWKePYrDuU1PqK0PfwvRBPT7F3e8K//8Elfvp34eEXNjrdmxri1BInacbkhlFgCCPJ0FeFBPM88LSTaK5OxaIlmUzJqjhFeQ6rpGFtlgk2GasXq6ooCMhkQC7er8rLAthlTZCreXEM7mbPuDohAQwSyaZNy1yz+XM1O7zkZen/wIzyvxbAn3jks1x+iaj/q1/8jH/wAHTXNvIDrxdEsQRbgjxPyyvpArwkv7tlxtSaAuzjwLYV1rYVxrYlc7/IZ5OiLKKSEqQUBbiVLOvJnTyB0IPAN9RCSy1w+rlei2nVI6YbAzbMtHn80JCf+Z0Znj0xz9ZpxXzDMFUTNENJPVTUa4Ja6G4Ol+qPeHifoDf0CRXZTeZWtLwJITWCONE0QsVt13R55PkW/djJlMEopT9QdANF4Ct8z8/08zRX7TD8/A+f5yd/Ex7at5HYSGJjsmbpsgdz5EsC3zj2zmpTvOzmdgeZTCllnMyyvBcDeZ4UsjnAKbOgTqeXBVymyI6CyYyDcpW2Y3FZklV+plmG2/MEcy14950eGwLNE4/c66eN19X/4i8/0/+Ob3/j//cA73cOUWtumX70K5/+jV2bzStt7NGohRw/B43QOFBLxw5od2GltKRSoAyk0hWWmTyi1qJk6SprVwBtCmCXTcFk2ru4GEJk9eQZuLMiI1UAHFRWMehp8D1cJ5CfFVgFKbVMXjRrI6aaA2aaHZ46POJnfmeGp49vZPO0Zr5umKpBIxQ0aop6TVEv2DslDBKa9SH3P+2z3g6ZmSnT5DlgTKZN41SxcU5x10t63P+YcV00kamAXBJ6ktDTeNpH6xpSGq7aYXnfD5/nJ3/T8tCBjcRGE2cVgK7s1TF5EMuiutDXEq2zIiwpUDo/NxSfL78Jc6ki8qo0yoTQ5GEqz6YSL5liRaZcrW0V4BRAT9KMDKWg5sNcS3Lq3BznVyC28Su37Tr+u297xzt+7Ml9J9dvvOr/3a5w/68Bfn7xPHpl7SdXlo59t8cqu7YEaO3EQmqEy1BKENqxgTSOIYzMlimVaTdV6myn63IZQmEtjgWSk8ydIT3PyBXaW+YVdKXuzisGtXIZNE9bPM81Foe+IfRTamFCPYxphCOa9SGzU22eODjin//mBp46uomN0x4b6ylTdZuBO2PvUFILHPuHQUI9iEjMiG4UIJTEyxm80OAiY7esQCz2aPhDVy4QhczkIB+m9H3H4IEv8bTG0/kGtJZrL7H84o8t8k9/3fDQ/k3ERjNKBVFqMhYXhLEh8Cy+53pXdRZ3uP5Wt6K585N15efPlcKs4sasxjoT4C5IqEJMrvY+W4UzAiuZnIqJkMtT9+8q6X7BwnKCUpJ2d5FO1Pju55556kgUxT/9/ymDDzpnCJtbd91/zweuO7+4QqOuaNgUkdlvSuU6zmJy7WssSmX6rBI0lsuZKE5UaqonTFSYosxK2uqambN2NajMl9usQ0dlwZTWFk85YPvaFtWDoZdmujmmFo6YafWZanR5eF/CT/3WBp48uon5Kc18LWUqtDQzcNdCZyfm4K4FKaGf0GpE7Dtuue+JBr6UeMpkQVypI/PlO04VidHceVPM5Zf1OHKyxnydss9xlNIfZiysFVp7RRufEJZrdsHP/8gyP/2bhi8/P88wrrlkWGKpZ9o28HAg1/nqZYreVqnSYoVTUlQALiogryyTF4DcjgO8Au78vYvHU1UjIbsRMvYyVmCxpGmKkCkmheXFszz80KPX/fj/9sO79h04c+KqK7/+7Q6/boB/6dFjPHQwvCSM7/8vNl1461StTeR52aiFHGClMs793tQKlLGkqrSVxpaygrHHQV1lhwsYxHFLxuAT4BYWqSrZUpnNT8mY29cGzzMEniHwE0I/IQwi6uGI2ak+a90+DzwHP/9Hm3nm8AY2ZOCerlmaNUEjFIVX7pwX49jbdwCvBSOiNGU4CAmVu8mkqCz95NlCkQWa2ml5PWIUWQaxqADc4PspvqfxPIlWCiW9AuAIuP5Swc//2Bq/9McJD+2f42y7xbAhmU4tzcQSZhMHAs9m3n/upNiCvXOpkgO8+LzZhxbFOa8EntlFKVdWW9HkFbBXVuScwEpGZyzGcorIIlNnflvh/t7iapfp2aW3HjjwhfSmG/b+n9buPy7E11er8nUD3AzOor21W0+fOvh22z3I/HTIKE7GQJkvwfnAHvdFRCWyFkX5ai5N3NJWeW3H9d44a4+rwvwiuGblnL2zWpesn9MldlxZrKdNNmYiLcAd+Bm4Z3ssrQ1434fqfPyr8yz3ZpifksyHGbhDp7vrWWBZCyT1wGYM7rR3GERAxBef8lmLfeYCxuqxEeMrVJq65odWoHnNjX0ePhDRjQOmYjdnZBgZ/JGrVfe1A7hWFiU9hHQJGizs3SH55f+9w6ceHvBz79/E6eUZBtOaaV/QTAz1BILYjV72lRto5OWBphRFEJw/VwP16o0pRNErUrJ4ca0qYK+A1lSkZsngk7p9XIK6f7/870aJ4vn9hziwf8PbN89PfajbHxz/G2XwKOrjebUrTh758v/RP70P0fTQ2qV88yg690ktFRBn0XXBWFZUwJw1IhTMXdXcYpy1q7IkO9E5s+Tp5twFUDnAlUVLB2zX25n1d3opvpcQ+jGBH9OsDdC6z/1Pp/zup1vc/eBGItNiY0uwIXSyxFmAuU+uskNkzF1l7xitR3zlhWn6kWZLPf88kwye3/CSOFGEnuJlVw1IjAP4IBYMczckciPXPJ1bnCoDoss+OjAINkwLvvvVPZrBWd7/6QEPvDDHQlyjH0paiaWhrQO5zuIQZbO4pCxdltlqU9SOS5CULF6VLNVLUrA5kzmKavdQZaWeYO7J5xzoVYwMo4APf/IQU7PX/h/f+vpXPtnt9g99PSPh/kqADzonaJ/7S7Q/vVVGB161eeY0hrDQS/mFMibLdlEFd1lYkzO4rYLeVp6psH8B7Ir1ULWvhJ2QJnlWzlUMKkkx+Spnbk+5WozAi/H9mNCLqNeH+H6fP7pH8wu/v5EjS7N4QcjmpmA2SGkFlkYAjazDvha4bGeYJYRc/UqarQROnix3UnqRj68UvrRFgEnlq+Q3eJrVbESJR80bsnl6wHq/ySAWxWgG3zN4XprZfCqzO1U2N6YauLrKx7fe0ePmq5f4+T8Y8oefnWc1adAPPBqepKVdDU6gwVcUzRA6T/pkK58spEqZAKqSyrhYuRib503OEz/nWvwioE4rMrUqX9Pce7eKE8ttNt+371UL6/HW8yvtQ8/vP8k1e7+2q/JXAtyYlPrcGy9J+o//Vs1+ha3zPQZRTJzoSpOBKmoUTAXctsLURbrX5q+rIM/81QLclVLXykNgSzbJsm+yCnBpUdI4m1KXXfkO5Am+dpIk8EcE3oDjiwm//akGH/vyHEcXZ2jVPWZDmAlSmoHNUu85uGUGblkkhcJMewe+u3FajREf/Yrm0IkaYTaBq2gXo0S5rZyTNHW103t3wZtv7vK7n5mjV9e0YjctKoiyuEEZtJbZ2DoqIPcqtOquwc4Nkp/63j7XXXqa37x7lqMLU6wmNfqepqEE9QzovrTuxslcpmL1y89rbh/i9HmZ6RxP61ec24LJxxi58rNb3SusbsdNhhzUqXWp/dgIRsZ1FPUGio988QVefsve3/rB77jjjQvLnb9SqnxNgHf7I+o1n8effmj74tkndw/XF9nQEuzdOaQpAvqjgDjWpCZvGVPF/A1j5QSgy+oxW9wAlSzZpCzJLhg5Y+cgFyWw3XNlWFA2lLMYO6FTPJ24zh2dEAQjfD2im0b82od93v+pzZxZmcaoGrNTilnfMuUb6hlz14v0vczqVDJpknnnBbh9l70cxRGHTgf0ooCZIHNx8qRT7krkWVhbqUmJNa2G5tLtESoY0o2aDHxBLXZj0fxMXnmZRNG56yHUiwSvivmpPj/61j5vv3OB93+qw29/ZI7lQYOBDgm1oq4FNWUJEuvYXNoiIZeXN+RZzguYnHG5cuF1q7A5kzIkW8GpmAxFCYBz2RIjiA0MU0E/FfQjQ6D7vOSKNg1vRHf10d3nl9X2a6+6/bi1EUL4fz2ArywvY6Ya88Nh48P/4r+c8E6cv4pm2Oanv/8s776rg5QpQxUQJxqVKLQyJYsbOcHk5etqIFqwtnWK8uIZSjvm1OTAHpMn+bAglc1V0SlapfheTOhH+F5EexjxlWckf3RPi498eY5h2sT3feZ8wbRvaPiWemCp+yW4w0ASBJIgkyYuMZQ5ExnAfc9lPo+dszzweJ0o9gga9oIAs1gVq0G3ce1cnqe56+Yuf/L5HgdONxiEbt7LyLP4CXixwYsMSknnW8t8IGkJrDGP3UjqgWbT9IB/+l19rto54g/vafLYvimWBg2GysfzNKEW1KRrAveUdWyeSxVRSpUy8Bwnm4nLVCmfEGN6ugB5BdhFsF1lbQOREQwMDFKI4hjPdHn3a87z0+8dEqhpzi4968027/pwp9N9SRJ1l/7aDL5zx5Q8eezIrYdfeHDqqs0GaRX7z83y7z5gaPpneNudfVfDEHkoVRbE5xfO2lKy2Ap72wzMeYF9DvYiYMnxkDOeyObMCpslctz8vbzc0+lui1ZpNn02LeSI1jHtXsyDzwl+7zMt7nliitV2E1kLadYU056l5RvqnqXuW2o+GWs75q4FktBXhL4g9Mkq9EwGbkPgOf2t9IiDp+FMO3SJlUzfjidOSgC4PkiR1b1LokizqSW4YseAZ08m9GOPUTbj249w4Csm6+aJGpATnTmFJDR5bbarD3/XXQNef8saX3iyywc/2+KxfS1WunXa0qfna3wl8KUgkLgeTmnRIo9rspILkZX9vhjAL8bolYCxKklN9l5aAXhsBZGBoRGMUotNYlTS4x2vOc/P/L0edW+Owyc38sKxBk8e+8rUDTeJWy+9dPdn+BrDg74mwEed48F0o//rG+pHGjs3eyy1I1p1xcnzLX737iY3Xb3KpZsGkM07SaUmValj72xia87kY8xdAfnk0lZ9VE9gydq5a2IK5nYAT91A/NzNkDFL3YT7H9d8+sEmH39givOdBiIM8ZoeLQ1TnuvkqXlksgNqvsgOmZWcZrrbFwQ5e+cA1wm+nxD6EdbGfPGJgBPnamyYFXjSZDpWlI2+VaYzZeCdporByGPXJsFdN/b52FcjerHHIBaEnsVPHIuPYltZpVThVyPkmExxhywbFYzz22vBiHe9esC33LzCX365y6cerHP/M03Ot+sMhM/A12hPoYXAkwJPSjxhM6llUYiKNKx8p4nvV72W1UCzKL/NwW0EiaU4IuuaXFJjwMQQD7liS5cfekuHLfM+J0+HrHcDTi0onjt5tLFzzy2/bk+duQoY/LUA/un796FFh6n6UWZnNrLQ8egnQGj44jMhLxyV7NkWYVKBEAaTpqRWFQCv6vAS0CXIi2VsHNalUCnsKVs5sh0epEFIU8gRX8eEYcxwlHLgDBw/q/jTe6f4zGMtzq81wAvRLY+6kjQ9S1Mbap6l5kHoOXCHnptJ6MpMZeUQ2Z/bDOSmALnvufa0I2cNzx4LwPOyZd5WUvTjacHqkl3UT6dunPO1l464enuP/WfqDEJBPREEsWWkyKw9k7F37qbkFmSpVaplrU4yqmz6gMcw8qjVRnz/G0a85bZ1Pvd4jz/7fJ3jZ0P2n6kTrQckgWaoNVK50dWK7PcJUFSC0Pz6YL+mXLFWFKA22esk//7ZYbKmZ2wKJoE0AjPkqssH3Hl9TDT08T3XVbXWh0PneiSD/dNX3/yO7+n37e/W6xdfTl4U4Gsrp8RoNPg/Pn73f9/w1HKPxw9ZDi3PMBwJ6A9JYjfxSMoErQUIi5EKaSXWqApzy0KDg5iQJOOBZYbpMlIXZPLEJTWcJDFu9INMCQI3STVJUxZW4N4vaY6crnHfIzXOrNU4crYBQYCqa0KtaGhLQxvnInhucH7ouXFtDsT5IbNDZQAn09wZuL2UwHPs7W6siGNLsO94HU+O24OFRKGsBy/0aNFAkPU0Jh5X7xpwxcY+zx1N6CcezVgw0uAnbiagqgBcSoGQcozJoRK4mYoMKvomFXHqMfJ8WrWI73vdiDuu63BmrcMXH/U5eirgc0/UObsSkg48jNTEvgKpssSP68qXZBlPxuuBqlReXZ3HbEOy9kJrsWS2Sg5umzr2NgmYBF+nBK0Uzx+AXCUMutzyEo0ILc/sf2H6xhu7P+F50fsvXP//CoD/zh8/gDHpd+/f12mM4nne/soV3nbnSR54SrD/qOLsqqBeB+FbPGKUTDHWnUA3tkGVbU8m63LPl9DcMpvIUBb2UxGxl6xdSBGV4gUpcWo5ekrw7FHFvY/Uee6YzwvHanRGAaMoAM9HtTwCJagrqGtDreIDBzqv08jLZl1deJDJEt9X+L7MbgBbam8vdZlFz+n80I+xJmJxVTKyAVpLfGnRFZttsq4jB3lqx/sdo8RDoJmfjZBqSC/26GvhnI64LBjTyoxlIGVuUgPkw44QWCNLJq8MRvJSVYyf6I98Ns9E7NwUc9NlIwbRgL93rM1zx33ufTjk2WMhR086I8EGCisVCEkqK9mgajJ/UqtUs1vFc+4smBLcZLW1NnXPxkCc0B/A/iOas8uS549avvREDSs83vRSTWIWWT/7CbRSL6pCLgrwxx/5PItLHXX3vc+JeNjimktbvORSya4ti7z+ljYDL+bPP1fjQ5+pMYgEr7tlBKl1CZR67MBsJRhBGsuCxXOJ4r775NiCvJbFzS/xtAVhENISR5b+0DH68dOSP74noB8rnnoh5PCpgOWezyj1QfugPFRL4UtBTUFdWUKFG2emssIj5Vjb94RLelTB7Un8TJYEPgQ+mWviUuaeNvhekmVEY2phxPm1lHsfatLuBsxMCXQWH+RFXxcLxmzuB5syWTYaKTbMKV5/25DPPTbgZLvBwJNOpmjwEosX55515rHL1NmFVGedyOJ3GKsrv8MB3U8VqVYkniJONXHsOSvVi2n4MXdcm/Cyq0a87VVDDp6SPL3PYxAp/vDeOscWPBCS/kCTRqpom7KaMhtURfkYwHM9WlbVicQgjHFMbgy1RooXpmAtr79lyDteO+I3/7TBRz7boKvrtKMZds9pdrYUV18iOXH8rCC8Rt396XuSN7/pdV8fwKW0bNnY/LUbLo+vTyLB5g0JiZEMIp8NMwoVjBh0BZ++L+TeR0I2bjBYa7lxT8y7Xjt0db4pzE8Zbrg2phHabHyayMsnLrJBpyiG87T7gqef8VjpSGohPLLP45NfDhnGimGsOLfgY4Qmth5GeKA1ItBoKfGVIJSWMAN2oCyBsq4GXGeery6Z28/7Mgtwq6xHUxTs7XsG388LtNKCvX0/RqmILz2p+NhXmyhfO7ttTH+/OIPnXrjT4W6OyHDo8ZbbB3z8Kx3+8ItT9JKQRqbDvVyHx3lSxhbdQkLIAmDuV8mK1q8A3DgmT7Rjck8rEq3RSeqArlKUcoP0Z8KE269MuO3KGCtGvPPVfYaxG+f2iS8HPLrPpxYIljuKp5/z6fRlppLERa9wmQRwafxGaLjhhogN06mrNk0t73rtgBv2xFgLmzYYvLrlucOaE22N0QGNlodWcOB4ysqqZeOpwfV3vrr5a8Lwo18Xg6fJElJtaJ078sdXvuSKJTUcDamHKTOtHjV/hPBinj6q+cx9Ndb6HiSS8x3n5x08Yfnkl1pOW6WWqRnDrddHNGuuhPKiVkn1Vs9ch/We4rFnfTpthdTSzUSx2jGT0Li5wBqkRkqJJ4UDs7QE0uBLBwRfga/KGX0O5OWYZLfHjywaj6vgdgyfldV6OYOnlSMh0DHWRpxZ9olGIcGUxM/S3iqryhvLYori+hZxSQlySWoUUewx01Ts2BDhiyGDJGCQCGraDcHMa0jyhJaS1fJWWfwu9ztyJ8uU2VNjsp7JUholSZrlDVQ2lz0hTlJU7HIJWqVImbB9g8lWDMNVO4dEdoDUhnZb8NizmvW+dPXcE2J8/Io7+WmMpRFaXnZ9zNSMwSbuv6kr0KLyd33Lm1414JP31XnyaMIwTljsewgsC+sJteWh2nxZ58r/68fe3lpaWenMz433bl4A8PNLayjZ+8UvPfrsqzfXD3HtJW5TKM+LaPdGfPlBzW98vMlXjzQhdMFH/mUSoJ2DWFo665ZzX2pUvuLFwF1NjWUXRwhMvuUCWc2pcNpPCImQMrOyclBnaWdJtnFr7htXnnXWSa/Itt6jALdr61L4Gbh9TVFi6hg8Y3Ft8LPsqOfFBEHMqWXDH3yuAdrHk6IMMAt5cpHa6kryIx8S6sDm8ghR7PGe1w/4y/sHvLDYpJd61BO3Ka2rArRlJ47KcwKUHrUoYxwnhWSlwCs/TFELo7XCS13xnJcBXckyaebqxrPXwmQWbYoWFmFTNtQN3/oKAyItS6ZFvn/GixCazWIwozCJJp/LkiaCpECFRaUpt16W8rM/usavf9zw1EHLYrvJWl/jScPenWdRPPHqk6de+otpmlywJ8oFAL/vgS/ga+n/0h9EaNXgn79nlVZoWO/BH99b54uP1llcDyHIUIOsgJNKYa/7gKlXAXbB4GMGN8UIrILp8n/TgTlvQVMCPOHSyoFwUkBLKs95U22lkEhTmYOSs3bZVV8CXBayJfBt0dLm+6YyOCfBy9jb1zFSRpxYECx1QoTWBJIxeSLF+KmpZOrH6t+r+jhJFVHiMdcasWvzgP0LIwapZphCkAq81OIlmQ5PKJylMoWuKneTKE65m7RriyaTUhoZdGpIlUTpfPtylRWrpUhlspXClNasKCdjuWeDGFlE9l5uEBROWJHbrHC4fZHXVdoTlgT3e99yR8xt16/wxcd6/PE9TZa7HtO1lH/y3R12bFJ8/kv3+FKmF9xHFwD8qX0HUBK60YB9Jzfx7v8wjcSNCxsOM8auq4JRy8hZFh+/BPrX8RDCLav5PyMEkjJF7KZSgScsnshAm0mA/HXxnhoHeT4iQiu3uZTW5TwUB27pnv0c6HnwmYE77/7RppAonnb61PdjEmI+9ZUai0s1vCmFX63hqDooTCjSaoVdXnVZSfoMR26C7Zte3uMrzwzpJCF9raklhihLpytZFkTlBWdCGMrOoTzQFIUt6azDbKaKJZtyINDGjfbQqcx2sXO1PEkG9DKZlgfPGYvnLpc0yCx+yrdaJ3vOgcrEObjgHTsJ8KywLvteUeIzHaS881UJb7qlnY2A0/g64PjigHi0DykvxNwYwNuLf0hrPnjFP/qXz9ycDkZsain6iU+cWlJhUfWcf/NePcHXStdO4nwsM5lfhqKum8xbdYkEDUWaOE8Zu/km2evsIuviWRSjEKrALuagKFw/4sUAngecue7WuSyxmd4eryX3vRjfi1hoG544XAPtozN5oisFSkUiZALhzk2qVN0Vfamy8MTj2OPGy0fMTQ9or9XpJ4q6Ai9x30WlbnCpiqsAx4G8+EVyouZHZH2TWQmFcoN2PCNIlSRVhlQJkgzk1eK1cXBn+QiZZ5WzLDPO9aoCu1oBWpUrJZtnP01is5oLyW6WUeT+TSncjRonmk5Po0TA7i3+zU+ff+Urfu3373jwx9/7HRcH+OMv1Ah971sDKW6Y8UeEyqcfC4apIM4aFkyRZHQm/dcL8DzuqDimBbDd7sIlwKsj13KQV0s4qwBXoiz1dM3FeaeKkyWq6F4pgZ033zr2zjS3ptDbuSXoGLsEt1dUJ8YIYu7+csBXnmsiA40v3fzz/PNV2+jKir/JbGZZbZkXqKVGkRrFYOhx2zUD3nxHl9++u0mUBvRSSZi63YS1LKsVC5kiZcbi1V/1YkwORsus4VcU4E6VRCnjGF3KbLSEqZQiV2uAbAnysWxzzuQ5yKtg/R98ZOcrycqMo9hjvSMYpMENN+4W32qNfrD61wuAD7onCWuN1z/12Be+V5s2M01FZ+BGe4WpK18sWs4odeT4ffm1H8V5rzBbkdChBEMJ9Hw3hnK0Qc7ibguSEuw676BX7vUYi2fdMJ4aB7cbpzDB3FnPpp+1t3k6bzhIKkdMRMyffbFFagNUkb2sBphlX2PubIxpcCba9Yx0ozTy+vpUI/B412v6fOhTI9ZNzCANGaQCL6FgcSktMhFF0ZmzCydrj2TFmhQVkAtSnXW6qwzk2qKMkyupsqjUVTC67LEsQF1alOMAL0prRZV9s+cKM399aKFSgFeuQrn7EyeKUazpDjz2negxPxx87xtf95r7Dh459bk9u3eMA3w4HGKtvHw0Wti91lkkSafxlBMkWlo8kw9JLyvCJqdLvagLeBHmHgO5cK5t1TNWFQaU4kLNmYO+OttDKVFo8Xw0wtiwmwzYWonSSSnsQNdx7xqTbcbcZYCpK+wdeBFPHJYcOhtilYeSEl8atBiv05AVAT7pouRHOTRHUO2QSlNFnHjs3hpz9WU9vnqwRqx8BokglOClFp0IVwQlsi6cJNPhSCcXxn6lqLC4qEijfMJB7q64ehcH7qydTdkKuLNaIGXdOOpColCsHlWAixdh8GqD+gUkXRmiWm2AyVe8wt7MxjWHgSVKF+mOVndbG10O0ecuYPAn97ep12I+9aDiyf01ty103jUjQRWNwmXb0YX1vy+SwhH5+0WSfqxwvsre1WVdFTXfpe1WShbhuudFCe6cvfNucV2AW44BvDr8x3XbUwC7yFYWzJ3ia5fYcV1BMZaYP/9inZWVGiLQznev3oSTNShVUqrWR5txVh3zpo0ijjUbZiXfeVeXJw63GKUhfeVTS50WL2ITSQbufK0wmSeeF+Y6FmdCj5t83mNljIc7pBv3ka9KxhaJJSndrHNpyiCzwImQEzX7lBJlrI68EmJOwGWswbxInUy2PsrCdTLG9ZPecqVkfltETZ3HC4fFv1cA/Jd+82NIIel3uoS+xnfWJKnJB9dfOLJ4fBhP9v8TE6fKu3ayK2dSplDc9VWAjDkFlabY6szBAuAFi+eDNiVKjwPc19kAIC/fOjDLcGqLV6TiTfY6HTu0cp07L5yAD9/TZCR9lFRZ9nL8RpzMYE7e9sWqV5zP0k0xGYMnqSZINd/5uiG/95k+zxytESuPvpT4qcncI4FMbTFoVArr2stEdW012e8a37eoyuRupHVuIbqpvyorCVCpLYd1FnNZRHFDJxN6vJCdFQbPx1yUFmKVACfBXTK5rQA7P09pWjaxGyPAupkuSe95Fo4cKTY6KwDe65yh3txa/6+/+uuXPvF0h/WOyMY+lHO5yzkWldFqY32U47q8ys6TX6SqzSbZ+6IAL+YMXjgOWVYYOw8y86lNWuebvGbaW02AO0/fe3ljsnEzQ4oWsbynM8mOGOVFHDqj6UY+KJ3JEztRHjt5444jfHyg0YQXnnXjlIkfTcMTXLltyDOHIlITMDA+YepqtnWmwZVwG7m6xFJOJobSvs2ZvFrh6ephdDHY1L2Xj9jThqyDyCJNOSEgn66V5t39ld7YAti5syIqlh/ldR/HxFiby1jTeRGMZ91gacXDryauklSy2qkxNXf5pW9+2w/Vjxz9x/3dl21zAG+vLZBE7dddf9XGnzxwYF+2LUU+Oy6b9Zxa5MTAnqrVVVy4KqDHGHwc8JMAmJQnRZpbVGfnZdKkMsfDgZyyRlpVQF28zpI8iswLd+B2AC6HAnlVeVJlb5X1dfoRq13D//0XTVYGISLwnDyRdmxVKQfnXLwiYwzouLLZogm7YHDnqCSJplXX/Ph3dPnCEy1WRj6R1AykxM96KMuRDxnI8pr6TBfnZbQWk4HbYJETzorIGNwWsxxzsCspMgZ3kigtXJQM4NKOOV9j7C0YZ3IofPGLkWAexxUJKkoCyFm7nEEuXebTCOIYltdjRHPmJ7/62L4Ho9HgLwsG//yXnyYIPA4dOUW3H+Npzw3MVG6Os0ohFsIB3FhSMV4wZCsf7ILHRUDNxcDNODCqm5dOAjufWJtLFKnK8WOqAmotJTqTJLoAeK65TRFUetoU4PZ0Xn8xzt6eivH9iD/9osfzR2ogPaSUBHlpbOUCF3vEZ1/yRasJK2xenRWTgzwxMtvkyePa3X3eekeH3/tMiNEBA+kTSFEkfZQUxLnu5UImF1Umr5YuV2pijAJl3apgrBuWms92dKwuShbP2wdzsAsKJhey7Jcdc8oKINgLyO/Fz0+mEibBnR1ufyAwRuLrPiLZz7DTJYnd1osa4MSiIvA1J85Bp2fYNOe+eGIsMrEk2TYXMoU0Y9bJKVTVu4+JDz/ugYvK3T0+W3Bs9LEoB+bkuvvrA7gsAa4qNdQ6q0vxKKSIp0q3xKsMByo1t2NvT7upVWttwye+1GS5HUCYuSeiEoy9iESh0sdI5Rxd1LbLLUMjMWnupmhmWopve3Wfj39lyEovIFKaQSoze1Jk7o0om7HlZHLFsXf+linYvOyX1PnqrLLX2aZhRrqhqfl5V9m0YFkMNcpBLsYALiq9tLmjVNXg4xgpDYpqfFKNF9xuEqLYFyiOBVEqSBLHJlNN2LPTY9uOgDhy31WfOH6EmZmZSx577PGfWDn9HGpzDc9TGOP22BHCFL+s8EsEyEr7f/nnZb3FWHBVdROKi593oZRzQwqQ5xNihSglyhiwx2d/Vztc3HB3xsGd72yQM7eqMPcFDJ6PmyhHTmjlMpfHjgsOnggxBAipi+bcsnqwGj+IiqtRnpALcghFLFNN2ZeOijEu2MRq9u6K2L1lyMr+Gjb1HYunTqboiotTSoJqoVcmuPMyWsiaDUQl+AQjy8E71dhGGXfTGEmmvSvSUZTEI6VFGFESWPY58hVNFKtLBR+uGWA8u1msMrl0I0vwOJDHiWAYS0aRIIrd5+32Q9YfHnBDsvEnrrnuxqcOHz58XFubMhwON/uefX3dazO1JSBO3ITT/tBgbIJJDUbmv9i6mm5buQMvor0vJk/GpYnIt868YBZeKU9ExZkQlWCzBLRjcLJRwFUfvHpkW1qrKrgrIM/2q/ey0tCcvVX2s9YxSsV86qtNDi3XwC/liVexLi+UXNWTcfFluHSjysZsU93dLC+jjTSXbYh40219Hn2hDsYjSZ0W99JsyGfKRbSwqLBjbhtKFz8VEqUiV2T2WmariswPd57TTKPLHOg5uM34BAEpRFabIsZvuoLJqyxeHSp04Sp3wa4Sxu3uFscwGEJvaBlGKUliGQ6X2HN1+vo4jjYnaXpch75xu862EnZvj7BIBiPJetd14gxHlMkKcmBarBiLFS54jDsmFSlSYXGZ/VDV2tUhOTmgxUWAXbC5EpUm3Aq4s/mE5bYdXAhsXQ4IKka8aZOBPHHyRMXU6hFfPaD4yy81GAx9qGu0FHhiXJpMBpjVG/qiAGdCf09YhlVfPE40U03N2+4c8pmv9HnkgI9teAzSAF9Q3GhKVCXgeA6iCvJqYZMLPrMbTDk2T6XT40aSbTNTBpym0N6isjOEqDB5ps8LJq+u2rZ4zYvIlYsRQe7q2azMNm/5G4wMq+2ETj9hGFm6vYi1bkoUGQZDg64FPZSWbJxZ55rdSwxGUwxGmtW2T7fvuV3Ssv1TSiZ2nTkXsFOVscfkSAn2fLm+UHNP3P1jy5648HUmTWSeppeVgEhVy2YtWpcjlHW2CZNW40D3CrZOs8GiLsD0/Yg4SvnMQ3VeOFkHz0NIlYEqmxtS7TJ/kSrCMbegytrYIogyY36vLLR4bhdGkeaqnQlveHmPp4/XGCU+qfQYGIWfMvFZRAkeLgS5nfgsqPxmMxglUHlwJ92zlKWDVqyoEpStgFuAMDZj74sn74pzUbwWZd3KBDleAPIivrPFZgaj2HJiMWa1axlEgsW25dRqwlo/ZrUbo/c982eAD/YcoV5k61SXUaxY6QecW5tlZT0Y6yucdEIuCu5J9r6oa1Kx0qruSQXEJYuXOxCU0qRiFRaMnQO8nJxaSJSMuR1j24KpdfFcvvay4FKrmMCPeO6E4HNfqdMf+NDwkCKvHKRiD14ki5l/t+pJypm7SGuWk3Uny2fLuSaq6PZpNiPecPuIj98/5OmjAWifoZH4mRZXxm36VdaFgEhxzoUQbkZDtRFBleDRilK6SMfm+aqSa24jQdps5w4JpgCzHTMBhCklyaREGbNQJwlwTJtX/zwn2HI1btQMkenz5Ok+R9cChgk0a22+/Mj9HDy8nyiO0R/+0iKBLzixkHLk7Bau2hkRp/DFJ6ap47Nj1lD3nSNRFhCNL73jd2P5wSc1txj7EuICIIxJlKrmFi5Tlafnq9lMpbKS2qyiUBcFV46tVTEffALc2eHlU2izAn+tEnfoGM+LSWzK3Q/WeOC5GoQapGto9iolvOMzQipH9YcXW3qrVms+lNSUjkpq5BjQR0OPV13b502v6PP8iZAk8bBCMRAaL6X4TCItWbz8CBdn8vL3u904HHM7Nnc/C6QRTodX/f7MYXFgdzZyXtpRXYkLR6UaXE4Ewxcyux27AYr4LPv3PWWohylXXTrgDbct88Wn3G5uV2xPON+RnFtbw9cp+olnN6GkoD+MObM05PmDksTCXN3SaBhnzeTLEhfaeRcDeyFDJlgbxv+bfCkrP7wYA3vB3rL6czVNXzlUCe58V4fi0OUmqDmgvQqoc+fEOSbuWakY34t56rjkw19sulVOegih8Irkji2Kqy52XirG6ATAGKvjqdpghQa3ApO61j2XnlZF+t5azbteM+Deh4Y8dsRNEoiNop+KrOAru+nSjLWrZRLl7eXEi7WOxStAz/9UZaA3MtvPp2JnFiC32e+ylbjJVEAtKwQ2xtr24hgqPHIxbkDkswIykOcb2Q6GPjP+LO+4Y0RqJGsdn/nWNFdvCwCDftOtbjvrs0uWR54zrPYscerM/kCXFy8/M1JUNfK45EBQfIjqe6JyFxZ20djSVQF2bg/KSQ1euhVjIM/Yutxsyn35cgB+Ce4x1q485421uVRRKsHzEuI04b5Hajx7uAaeB9IFl76wlcmxFQaXE6vSGKDGoWUrL4oGiDHPtxJsphKjMkcl1Ywij2t2D3nVrY7FB6lj8ZHwGRrQae6HZ3UqWXCHoCJR3Ae4WJmFte5cWmWRVqAsLvtpBcK61kFrRSlVsthDVjBRWKX5n2eB54ut6BcDPAJscZM4V2ZymGcUK9rdkP7AJ04US2sB+062WOv57vq2B+DF0B853zbvSHFtXuUOYSpPtlQcjXHWqujN4sPnmkuMgfyC90UpQ8obaKL+RFDsvVM0PeTNt2MND+XWJVqVAWU+L1wXoC4n0CpdAXgmUXwdc+ic4IOfaTKKPah7mTyhaE1T1V2CK0RQsPfXkigTGeCqTKnufGHsxbS4phFI3vuGPnc/0ODAGXfzpUbRT5WrMkyz5A/CsWKaBXMTK0leKFcFuLSlFpeZRpfGYqW7RlYKZCZbChzkTG64kPzya2rG37sA2EyQg7RYkQe57jMLUemASgVR4kZIp9oU9SqN0CBk4jDxe7/zy5vmZ/R/XDp/bO/+0zGrXUXo5xV2ZPXUWXfMxKZFxWQlKZBSlu5G5Tk/xuVG9c/zccDZczYeuADuxJGPTKh63MWzLh2TfAJUFdyesmgvz1qmYw6Kp+OimcHTEamM+L1P1vnQ56YhCECFKKWpK0tN2WwcBUWDs1dpjSszqdVElKScDMtYgFrGEqXtmN+0QpI1/pa9kEpahDXs2BxxZlny+LM+iXCTB4xwI9Z0NaArpKOYMAdEmXmu/mwroiYD+8VuhqrEKliVaoKm0jcweWTbBuZzK7GiqDuplskWCZ9SqZfEWrkhlLQ06xGjeMATBzRbd960+YYbbv+8fuSZZ6ZFeu6NXu0U7WSOYeIzI0ylE6as0Ms3LRqLlsfkxYRzMsbq1b8z+d9MZDGrrD1WB27HtLcswFBKkip7q2Knh8pGVGpSkuSVgjl7x3g65uBZyZ98oY6bv+LY28s792V1Zat83koMUg00RfWHAkAT4DDV2pByrqALPLOsppWYVJGqTIunmu+6q8/H7quz77QHMsIKyTD10Igife6clAzJaWW4qWs6rAS97meb6d0cbLLyXBw5a1v3O6wRRcBpc3flgthk/LWpyFlZidHyv2Pyjq58G8mqVYjTOyJxzRieMYR+Qr3eZrHbY4889kZMZ1o3vIjnT8Kv/sU0xtTYEGYDc7QoGNwfayYYdzYu1NFVgItxzTXxd+XESajqt7Ea8MyGqu4jU2rwcqvAfGc1NQFurQwqY3GVSRSlDKridyvlDq0SUpXwyQcb7DtUam8hpBtZUXTQXPyiCSZ/LrhxTIOXr8cbkMc88cpEKl1sKpD7406qXHX5iLe8oseRPwmIUgVCkwrNQAh0mrkORaCbOyqi8ilKbnQ3m5MmytqMQUvQqyoDC1um+AUY6fS6yWVKxQc3FQIzhfwYJ4Di/fx1hQCrEsmqyk2ZNXU4SS3p9D02TgX8xNu6nOkbzi576IOnGpw4N8KOQuaagqnQuFnY2ew+P+uKUYqxmo9JJh7X2BOArgabObDhQpBMMvcEa+c/F6ydsbiuALsK9EKDF+DONHe+xYk0aJkPtXFg97yYo+cU//2jLYbSgRuhK13z2QpSNEGPt9pdaORe/DG+fGduRmXJHivyr3SwJEqijCI1miT1CNKEf/D2Hn9xX50jZzWoGIwmFh4DIVBpGeTJarA5AfJcBuR2Yb7CGAQqB7csGVxlNqK0omBzkzkcRgqELVePSaALFxZcmBsRF76Xe+pSiqzpxpX12qJk2w2eEhJkP0AICLTk0s0BQiv0ifOGpbYbJzxTs267PJ9swlPey1gF9oRfXfE2yzG+XJjIyT/4WJQ9/roKbDHB2nkiJQe3A72pgL1yFMFlFciTfnflkE6eeDqiExl+++MtzpwPQDl5IqQsrcGKa1K8ftELNb594EWBXpUqReNBtUczT+GX7F00Q0hFmmi2zY/44bd2+fkP+rRjFxBYKxkZ5WzDNP8cFlJBqbBLkOd1RmOfNktA5TehshmL5gGosCWDZ9nOvIRDiOz1GCN/DYtZvAjgKyA3mdfuBhiJcqfsvPUve55uDNk2PaTW6KIDP6Tme8zUYKrh9qYJPFHsy1gESaKMmEXuX1cE/6TvXf25CAjkhXdptQ6lLLKqsnZZzJ8DW2b+cylJcqvQVLR4CWg1KVGKrU6S4lmrGB3EfOTugN/68xYj4zl5IhRSSHxB2VQ8YYmN6e7i5q7C+uIQtyWBVqzCKujzlL3FGFPufVQkf9xW4KFO+NF39jh4wuf9n3RaHBSpkAyNCzhlSsHgZQFWjq6SsXOJkq8wypaSxVmDNrMJy6ymC3odw+a1KFIIrCx/V+6eTWrzaiLnoiCnJLw0zRNMzoRwlYUQJ5I4cRWGiREIaswOawhdQzd9w7BmmZ8SzDbdjgaeFhNypArucdaushVMXPCvsfSM+8eMLfclk5cjiMe2uJP24qxdvF8BdsHiJWOrzA4sn92swdU1+Isv1Fkb5eB2APek095ajMuTsc+a22UVPIuL4LuqtUvdSyZPmJAnZBvsinFwp24+tzIKYzRJqpnyU97+2j4fe7DOSleBjMEoYpwez4kDUWrx8RtwPDKg4oaoSlIor0+R1mlum3nT+U1vc6kiSyYfj0kuBDtCZJscvAjYL4adimWtlXA7Q48Ew0gSRSGzmwLQAXr7BkVNKHqbfRp1v9w54AIdXT7n7FwQwMTz11p6LipNLgZsMSFNVNkmVQW1ugDsObjtGIOXgE+LZ11hb6+ecPeXQh55tobJtbfMei5FLk/G603GOlaq31dMfPcXJfGMPQtrrJQok80Q1Z3qUitRtvTFk9RDm4SXXRvx5lv6/MGnfFARCIkVgpHRbgXOYCsLQrKUH60C8swaVNbdsUUaX5YyqpQqDvDGVsd6uD+rBpBSXAjS8pxZzBiwbYEzKuevxN+4BC5Kq6VA9S3Laz61mYDZKEDv3i6YayiSnsagSNPyzp2s877oJZpgqwuZ/WJfzI45JmVwaQvA5yernIdS2aa7GDyTM7epgD3bcU2m45Ikd0xkRaLIBCXd4PcjJyUfvLvJQtd3+11LN+hdCcodGybihQu/oxgD/NdQJyWbFxKl6hOP72U0tpFupU5cyfzZbX+yqZHy/W/u8eCzAUcWJYgYUBgkQyGLTaQKNs9ALSp3YVHdmMsVnE2XW3RSus2oHMhLwAtBUUMux4qs3GsryxT8eDNEDt5KbCCqN904ribPX3lDus9rjKU/iPGahrm+QW/bNKIVDhm1I7pDxTByLUD5jIx88tJkW1oV+GO/+yJLS14/UHielMuMECVjF+Ae095OY4/vZmwrFqEZCyzd30lRugR3HmgWulumaOmkie/HjFLDb/xpiweeqLneNqmd9pbSde2Icv5K8VnHNknlRZm8eo7E5MUZy2CWVYblHu/j4xLKMlrXbpbbhWlqSKRGJZpX3RTxI+/q8LO/4TNKpMtAGUmSuSquRjv/bHl2sLya1gonrKt3oHTWnKJkcylcCt/Zg1mAaV0bWx5c2pxZs2C0wIUsb7ASJ+XPF4FwCWSqZOAAba3rHU5SSxRbltdimvMJQwy6VR8izZCNswP8nmIwUowiJ9qT1HXU54NhxhjmawG98qFLgJdfsLyzqzo2H9Nmx4DvXBQzJk3yGRxa2qLbOx8WKXMwy1KD53tn6mzGdRFcygTPT/jiYx4fe6DOKPKgpgvtXbB3dSWZYPJJl6iqv93xIgNKJwqbyn1Dq+AGq/Iqw/Fa8dRIpHFSJQd6kmhq9YS3v2rAPQ8MuPcx5WxDJAhJLDQDymsBZQCYfxpVBBG28tmqwaZjaitshn2RMblLzBS24QTQoVLdaEsmz9nZMXcG8otAvFpSXDpN2ViT1I3MiBLLYARLbctqX+INJVqQ4qmYVmMIwsdTHgOtiOIyMk3T6kyU8Wi/eqEmAV58+BeRJ4IKE06w9niQmY9lqMzFE3ZCllQAXfG5i9nWqgS3zsDtezHrPcvdD9Y5cC500kS4kliRa29RmW57Eda+ULJUAf019Elx4SgTKhektEUJ7guGA5U1KlIqpEmRRhOPNHs2x7z5jh6P7PNpR1n61Tg9HqHI94GQZN54XpsyNvejTO7kXyWXLyoHNXnCx+lwISiki6kA3WTnxIqy7gQqhXyUJsUka+f2ZVkvn4PbbZOTpJY4tURx1mYZCdaGgtikQIJ+4kCILzxmtKFVjzLAaIZSMZIKJcsW/Rzktkgjv7hGHwsMKmMCSvekwuAV9i4kywSgZe5BV7S3LABcAbms2oNlAid/zsHt6QRDyu9/qsZvfbSJFbk0qbI3pfYeswYvBHrB3NkXL67X12DvsUo+JkBdMPmFrWxlRtNgUomRzhdX0hCnHlIZfvRtfQ6f9fitj2nipAS5QTASEmXyQRKlFs/9P5vPka/KlQLQZMAXhQfuwO7OiRXudpHCZv64KEjNFqZF1u6REQJFTHBxAijlSAZwg9swNiVj7hLcvZE7T1dsl1y1W6JnWxKbgLIDZhopUjZKkApcEVXs9kRPst3djCBrTq0c1bBgbA5dFdi28MPHAC7G5Uk5mndce0s5rsOVKouPdPZaT8qSC6zBBCVjPD/m8ILkY/c16PU8qGXD/avsXdR8V5wdUSZ4xmKNiddVfflXM3gF9MVRyWjmFYZZ00EBdFlJ3UtFmqZI6WYaNhsJb7uzz2e+XOPwuSyp4Ob2kgrBoPpJJ/o2bQY2B9x8UHZWHy4yUsskSg5oS5nJtIhCnuRgNpk+L4muTD5VyaDK4+OrmR2btJYat09rnO0A3Y9gfSg43xMolbLeN5xfs+jOAI6fhRcOJrzzzpi5hiBJFEnqJh/loBWpS16kqUu5mmzUV5lyrtyBFTtHZsHMuGYdH28wKUeksOM/5wCvFLoXQ9lzFyXT3yrb1ltW5Imssrh0tSej2HDPww2+8GTNDQeX3kXZu1g1hBgLhgWVmudJJp8IMP+qR9W1mqy8M8Yt/+WO0TJjsYzBTanHU6FQqcEIRTzSvPaGiNe+bMCpT3uMjNPhWSUUCZqRcHJDGkqZkpvXF0RXGcgLgFckSlYFmDsp1jr2HsudZBq+SmpVQyL/oQB4BdjFSlYBd5JAnEKUM3gsWRvB/IY233bbCjdecxVBTaE+8Ls/os8tRNd84C/TvesdyS17E+LEJ02lY+WKhXRhEFlh56LK0F6wpOc1I2Kif7Go41ZVnW0q7+c2YP7+uN+tKuBWhVOSv67UecuSvbWOUUHMA0/6/LNfnWW157bfRmUdO9LttVOTNpt7QrE199h2KXlJq6g2PJeZ36IsWI2XB5f9pBOViHLy9Xgu4GLj0YqdFfL53NW6GEDrlOv3xjy2X3PypMbKbPnEPZtsRkq5N1t5nS8sEhMl5l9Emk6mjwobFDHGfw7AFaOiGs8VWnsc5Gl2szu3xIE7SWwxJyVKnO7+wTeOeONNLdaTvXevRJf9mdo4t7O3urx25Npd8kcu3SgJA8/dhpV7l+oHnfiTSQYb87ZfJBtZOCKVGuixykBZvl8tpHKHKbt2JgLLQprI8bR8mdBxAD+9KviFD07x4JMNCL2sHNYdWglqWVODJ8uNrtSLHhlgx2rlq6MsXC24VBMAr4C7/LnawGsvAv4sQK8M+Cljgny/nMprCxvmEgJteeQZn/WBnFhqZDFFXFbA/WIBRLW7M2fZKpjdYl0pxq2sSPl/X5VhxY0y4cqVr6vsnTsmeYreOpCngtS68zQVQjwMWVybYm1l7fvbiwcO6GOLa0QJbJm1XLJJ0+7WmGqMnKYVqVtKyL1wt0TkWSzybFYp38a1N+N2YBGcVTKXYxIlu0DFhKY8e5jLkmxfGFX43RVgyyq4JzV3kgWZCamf8sGPT/GXX2pgw2wzraxisCiJzW6ssr/xa3TMV9yTsRNQfUy8XTJblTwqMiVnuAlnpdrhY6S9uBbPpIo0hlRo5CDl7a8e8MJRj1/8HU0UJGNGvTUeo1xTmbx0NkNMJWUPtrD7EJkuz37OC60QuVWYFUYJxj3xzDO/0Fq1F1VGY40UlQnHSer0d5Q4G9tat9K2QkG7a6nX19m9wzAYCfRwME1iBGvrKavTMTs3J/hegqddKJ0kbh/wfGStFIK0CmBKTZY/VQctVmd+jzGPqDomdkKL26LmZHLLjBLYdkxnq8LjLvW2zDS3rNSe3PtowAc+3WCYZlPwRX64TUyLmpOLAHs8MK7exBPJnrFgc3ItvAj6bV7jPFEXns1NmSyhtVIU7405K9IB3ErnixtpSI0m8Aw/8KYeDz3tc++Tzi7MvXGk261sZFx9/1h54Fj63s0kzF66bGbuhVcILge6m26bOyQUVYa2cv2d5L+wcX181SizlLlNmBoH7nzXZYBAO7mycUYyVZtGC7frtH7VDRpr3VYUrXrMbGtIsz4iDNx0zsHQwxISxQ7oZuzS2OJTVWdAX8DeLwpsxvSjFBdxTkS5s5dSOYtXAK4mWLwC7PJIUDqmP4Kf+90pjp4JsLrcLTl3TlxDA9m2IEyA+0Uck+p7k0C+4KpNLPn2QiavVhOWxVflmLXqsExTuCp5xaHECEVqMomSGoTQyCjlsm0J//Lvt3nonwV0hzljl1LEoBnZzMfPGbwCcueeZN549p+54NcxcGEjmtz+cwGoc1bKqtPxLGfFQq7EeOLCUzWmrFILwwTWRpL2yFWutHxLYg0Iy6PPC+qh22BLX3GZQgiPNOlS02fZPJuCHHHiHEQJXLpZk5o51rshcSKzweNV/ZWP7B1P5lT97XHnZDJIqjgnlWHqSpmKFs0BXXktqsmbiWROvjtvtgW11jFJCv/tI02e3B9WPG9VPLtNZm2lHa20ByfjiyITeIF7Mt5MXcJWXOR1+VaVtcsGiJK1HFPbC6sNhXNXrHCvC8CnEiOyI1VOqhjLjXtjfvwdbf7Ln04TpRLyPYUzxKUohikZ3EqQW1wtSdljNmEbCtcUYUVZWCWzP5MCyOxBa8sOMDtxTqsZzqKmvHKOZfYZdFaO2xnBSj9m+9Y+cSo4fTZkqaNZHcZMzfuE4RRJnKCX1Dto1Kd49oWv8sgjz3HZZsn6QPHJB1q0I833vWnE668f0e5pBkNVArsC3DFwV3U2pcYW2DKAKli9uoGRHQN6uVWGqTB3VaqkhZsix7abHmdurRJ0mPL5hwPe/5Em7YHnIsgKyIUQBXvrKnuP1aiXwXOuIWUF3JMsVH1HTAC68nTBD1XLcFyHT3T6yHJQZ6nHMyYXjs1TqZDWYIwmTQyt0PBD7+zz+PMB93xVQT1Dmsm+hBSkSEYmjykmmFzajKEdoMnT9hKsEUWtPBUmz5K0xbXPbx+RvZfLlnzujlsnRCF780XQBeOuLxgEG+cGvOt1q/zgt67Tjywff8CnPRRsaI5465tfwWWX38Zw0EZvna3jBw2u2RXw4EMB7/vDjVhbp1mX1D34xOct7fMpu7cG1EPXbZ+Xrqpcb1XkR3WMQlWOVG2uydeq+t7EPoxFN7mo7NeoMp9bOPaWmRUoM72dVwlKmSB1wv7jmv/+4RaHV7xs3/uMvXPtfQF7V5I5Vf1dlSdj0mR8P3pRuTgXPHK9OpHYKS2yMrFSNEJgx+wzWfm7Y1nObPeGfCcykUsWYRBSIWPD7tmUf/CdXY4vaA6dEVhdFVgCpEdiJMPqh82CyoK9M0BbCSordsr3fnTALmuQcpDLStazmHKVj5gg8/tFnorK62Mo8g25++RpwcY5zV07BHfeaEhGNaaDiH/w7UOk7PH+TyiOn5pm1/Zp+l2BVsoSBobuULG8Ns2W2QZ1BU3f0Agt03VJEoWs98rIFywim4Yki4te6mchs5rjMXaeCCgnNHgRTIoqoC8CcGXGg8sioMzS9LKUJn6QsNAW/NzvtPjYF+tYT7s2NOFdlL2L3ZRFeQNetI65IlEuqBqsMPqYqKz8nQvY2174XnW8QrVNbIzJrUDYfBSyzBIhsjinzlGRCKExqSXB4knD2189oD2S/OQvKxbXBQSTTK4LkNsimCzBrrCV75Y1PRhcIZZwn7daPZqDXEj3fWQh55w+NxmTS+Ey5JATiijOqQO3JPQlU3WFpzSHTmlmWxH1MKbejvH9FjPNAa2aIU4SsCl6GEmmpvXCqYXgc8lwx+t3tNapBwrfg1ogaYSKRk0Wd1lqQBe2SS5PKvOoxxIS1W0uQAhTsQmrGtyUN4eo6G1hqLon5VyQ8YylzF0UlTgWz2pNIgyf/EqDzz9ad7pb5ZpbTrB3vmvw+LzBquYe67usLJuV63xRyn6RGqIL5MqYBs+BxbgOv6CMVopsIwJBKgRCyKzSzrW3SSkxVrmMp5QI6yoOA2153S1D3vLyPh/6jCRKRFl0U+TiNYmV2TjxUqYUmUtBYRVKnDwhY2hjXALMSrJUUkaGZpzVXebTugFCIvtVtpQ1485cKRuthe5AoJQmigX1wCPwU3wv4JrLtrFja/C5Wi1YUPRRv/nff5WX3PCy9brPek3H39NtLzHT0jRrkkZN0agpaqEm8MuNnGTR9Fvq1GrHTcHGxcSpChtPbEdXZCdFJUNZqTUZtwPtBeB2bJ2l4IugMiGVho8/UOPf/eYUxxaCrInBryR1NEIKAgmhtJWZJ7aYLV4mc/KkVF4XXg7mL6bciqxuR1L0r5a7UeRtf3Jc2+dO3eQxeXNd4MOPV2AKyjqPyVUnT/qMpcWNZbaVctXlCafOKw6d1C7hM1YUIgDpAtnsThXVO/YCHSaKupSx+LpY88dMx9JTr0q3SpFaNc4pxzWXCTTI9jFKJaNYMhwp2j3wG7sRavb/d+70sYd3732l26PH89xohUZdMD/jUQv8Yrdg7UmCbMtrnTf9Vk6cqMqOai3JZOGUqLL25LNj8fE/N2VyRxnnmhTWYFqwdmEJZuytZILnpRxblrz/ow0OHAmgmSV0sulPOYtPsvdFS2GrzD3x50XlYOVaVyP/6rWrNhhcjNBL1jYTCZ+SvYtt1KtsbvLZIRVfPJsh6JwWiRAK1wOpEFnQGY8se3fH/MDbuzz6rM/xpcKuKO1DCRhNUtBrprElWJMnekpdrrIA1GartIIiKBWZmyIn2Ly6N5aQbvuTfBa5xJXa5ml7U9R+G8TIuXmjuNyPyaSKsBUTNPrE1U2odlyylyAMGY4MK4unqYcy20zUXdBidwSVT5GaYCFRrTGpethU9POkczLpfxsursEzlyT3v1VVmlQcE5G5JjphtSv4lQ+1uO/J0FUJjtmCDuhSktV7Vz3vivPDOIvm12Ks0Krys6iw2UWDyxdXKGPd9Rd0rRTP2b7FxrF1LlNkXviWA6MAtXNT0iwyFUJlk6IUKU4Kpn3Dq28Y8b+/p8O//91p1vo5sEWlPDADeXbH5qC2+QnJBvLILLhUonRVyEpmC7swqyOXFTmTuy1IsnHMFowjDTcMyDUnp5l2T1NLHJusi0cgR+WoktCT7NixjZdcv5fBYFgCfHpmE3uu3nrPif1f/oXLd/k/adOR28UqLavEyjmAE93sopKQEeNyRIgLX19oDZoxQJfPpgT9mPYeB3c1W6lUwlBYfuOjTX7nI026qec0lchT8t5YYOnnBV6VAFNOgHq81KCyjFYDzIK63f7t48vuXwHyKlNn7FzNaI7Vjo/ZhdXxDqVlKEQO9ozJjcwCTlthc0NqFCSWphfzI+/ssrii+NUPtRgYUX5wSWUvWUViZAFKP/fIpRsXobO73Qpb6fpx2c+qW2SMCyyVoOikz3+Prf4+Szms07iEUSKA1P07qU2Rifv+ceI2TGs2QvYdXv2FV911/T3T5kQJ8Juu2caXP/uv+zs3yGPpVI/RaMDSWoP1rsZUpoXqjL2VymeUlBp6vF9y0hUZT+TkN4SYsASdtqwElhnIRd5nKU3236QVL9zpbiUTrDa8cMjnj++p04m187vJ7UBdsLcg97zz2MoW2jVvrJhk70mpUo0pL0g1T/z514f0CcauBpuFRWjLmYGUJcsikyoiDzoLdpcum2hc8slYicjYXAiLtJYkMTSDhHe/rsfnvurz1EE3fm0sa1OA3I2Ri6oOCtkE2FymZCuNNPn8FFFWj+ZMXnjlZbo/v3GKL2hcScj4qlgubyYbtp8aaPcMC2sxU9M+g6eXjz3wD/99/4O/9jMlwAHk3FsJgjpPPPkp0vZD1P0aZMHL+PQosv7HsjZ7vMsm08ljOvwiQK64JGNSRYyztlsVSrdE5n53pdZbygTlpTxz1OfHf2GGZw8FWG88mZNr8NIWtGPMPbZTw0W09sX0+Nj2JKJQ4yXCvz5oF6xNhemqiZ6C6Qst7nY1s8KBWRbvuYymzMBsrEXktmFWw+EyhhJhMsmCRUSW6y+P+bWfXOdH/oPg2cNZcCKLjzXG5CmSYba7gzUCI1yGMdflSlCA3tWPV2+AiSRQ7rHnnnNxPiezvnndedY2l+84Aigt2b65x/e+/Qpe/rI3MhwNyAFe/JM7t8xz2fZ5FJv4wlfnOXDCJ0lK5i53SzDj7sekG3LBYSrsPln9V02/X1jyKiesQFmVJBXm1p6hayW//tE6Tz0fkKoKa4uyUwdEGViKakHVhO9NvmrZCwE9bhyM++KMv/6rED5ZbjrG5jln2clDlJq8Ik9gokal2qScVRnai0zGSo3bOUKkkhuvHvG/va1HU2Y1qTYBk7jn4nUK1mngyMDQQJRt954YQWwFsYXEul3QEptPaMh3KHY7huRTG1Kb/ZnNR7G5CVZpHlQa91FcX7AtSmVdd5nbcmXPDo/XvGSGRm0b6C0Ivbk4lQWDb99iQNnDV+3WR45e1tytxYXgLrtpLgT0ZM2IGpMoVaY2FwaYFS0uxoLMtHy+wPfOwZ3QN4L3f6zBhz/fYKR0CegiW5kFljl7yzKhc1H2luOy42IJnnEgiwLcF4L6a3P4hcVWeW20nQgyKz7xmAa3BaiFyPQ5uaMis9c2vQAAOjxJREFUXfAHGGkcc1uLME6i/D/tfWe4JFd55ntChY43z713cs7SBIVRRhkLxCILSXgxYJONMA/YLGDBmmjyGhtsWK8NlgEjIyELgQBZKDDKAsURipOTJt4wN3SqcM7+OOdUneruOxqJkUawe56nb3dXx1v91lfv935J0RWlj8dCwo0kLju3imd2clx9YxGVEMoaJNbb+hLgkKAIzfcWBIJK1RiTKKsuLGtujAezop3McjIllLxqErsAaItvJsKljfBNdJeAQHKJekNguFJEadzfOr3Ct9RrLNmnya1Pf+ZruOIPX7U1ny/05fihs0Q4Ds+j8Byhp5OlQ53Syhadm213dmUC2aobkeHlrOkgsIuFWyx9UypsCvRIqSY8RiUk+NefFvD5b3fgwKijvGGrM1VCUygFJ4BHlXPpGLqVFFhYfcdJUw/C5GIVKxCjzVrXxGr0T0yHsNZtzZMrMj3RabotaUFsKVpJBl7mDCPT29ZBmQlOaUUiWwBu3dY4KJdirF0WYKJK8NRWroJAU2mf2tOQAGKkSk/6BPXaBKAZibRN0TpJz1wZA5AExEibMxowXgnB/GmYP2/eN/Y8t+tbF561ttWCA8DcGQ3k87h511bxukKercq5URLAIeaHsELrCVB15l+ao2Lz6KyjqaKZ2nprS207l5RoRzJRUYROtNLWm8QJVaG+xE9uzuML3yph/yGuTDM1zmRquTOaN0m7VGUjlll6Yvevbmnuk/52TcvmKjjyZTmVsK4ND4fFw7M6uL5Oopoysd7S0sOJJEpfNo6mBIgQynpDO50aWmEgMdAZ4+PvmMDIBMU1Py8CvmxSVPRtAqj2cColQBIg1qF3AQkOINaDsYSONUgdvBE6H0VlJMokv4YlOS1aR9fcXAK62b5SVyICBFAFx3mfIwbdsGfcuTkI4syuzQC80HcZbr7hE/cB5OGertqqnBMhihzEgiYhCtt6NHNs2mSJSRM9sSkKaQPulJ6IBOiMxIlyoiiLujBPYMtzHP/+8wL2DTmAbydR2ReqZE6S5pskLSjaVOpk9XBbQUkHaEHft9WSZhXlxS4b5HZeOG2iK81NmKRxMIVuaqkpC9XptKZYGRlHUyZUxegfhDBEgcRAT4w/vqiKBx53sXWPC3hxCmxq292UDghQCGgerekgJ6rvIBO6WN1QFSMhmuxEgkwFE6VE05b04BaWkZFQnLwRSXQSio56/eEnH1x/3//5+09ODXAAmD0nB4cTfONaioXTgBVzAMbipIJeHbSmR0nakyS5bVvvjGqSJkwlEVAb4ERYVt1w8ViDP7XajMRgrsDWvRyf+GYH1j/iAx6zLHcrwClR/2iSMYhm6tFeOWmu3AGaLLnZYF03Az45k+trO4hj1ysClmKSAN1SV4y1Tiw+SaJ9GS1cy4btrbhSVKRQLTgFkUpr1tRFaHUFkBB1iXPW1vGZK8fx198sY9teF3ANko1+bYVck1OOakshiGpFzgnRcqzxd5TVFlRFKZm25kI/ZreoMPvVFFnY4BZSGZnl8wKcuibGluFOEGKX40wB8PK0K8A5CwZ7bkIcbgFjDeS8CI2QIYrUyAqagDvt4pqpsqHGIrdGJ0lyEVYmoUiATrR1N7SEkKz1Zo7AjiGOT/5TGdfflkdA9ESnNsCGtrqmzjJrte3Q/NRZg3ZAp7V6p70unlmkCeyJmW6ChhXwMRubNXFYHNRsbMkZh0VfEqtOLEnRpikKToJoaw6WICgWEj6Pcfl5NcQC+OtvlLHzoAc41v8mpJLziLT2u+IUEgQhCCKpzpoG6EwbGgbVBk4FCtUBIYi0BlHZ0iFJMlQFVASzHhHkHIDBQ0/nYlz02ksCIWJ87qMfPDzAuTsTuYL7kYvOmrOsMrzxVRPVg/A8Aka70BBMO0jZhpcZR5EZDVxY1hgZSqKcG5GpAFfP0wcGjKJiRS2Jaqi5c4jjr/6hjBtuzyOgOupEprooC2Ga19M21rsleGNz8XYXC61ZS24/4bdbditlhfUUxC2hfMuaq8if4tpGLydNVjyJdupUW/MmRF+QWHSGKFJTof/owho4A676egd2DrltUGNZcJ3RrRK/Vf1nBFX5HmqAh4TAMeAmBFwaC0/ATes3OzWLIEmnZRSohwB4DcSPsWl/D06L5t45ODjrIxCN57fgg/0eakPXTSyai43/cHdwxh2/zrMVszlOWpJHuSDguzGIaZtmN5lP8rDtKGRqqYnFwRNv3k7YIsKiK4p3G5rCSAzCYuwd5fj4N8q44bY8ApPKmJECU6cSRLUms2ssWRvrbTuXiYIBTG3N0cZaW6a5pYLnBSG7KS8FKZVJgd+kh0sT2E8fSwEtk5I2KYjuEZjyc6kbCUkhIfRvogCuZERQ1aaBI8Zl59UQxcBH/6ET+0YdJIWZ5otRHRWSZv/rXrQ6EVxCpfTGBAg12BPZVkpwQuCYHBsJOLAq/DV9IUTCc4CeMsXJxwEL51TwxC4vPljhG//22zdP/I93vub5AQ6oH33r7vqVm3bMOqnEhlbL0MHYJEHeD0BIlPDupDVx0nskmxhF2lETsyOt24aypCpLSk+IziaMHIJv3VTA9b/QlpvQJlBnrwmBnsxgtT9uw7uJsTlGRmsL7qZ5k1PQFssDfUGG3LbMNlClTjfN9OyW6SncBrtiC23yUyRSDm7p4yn3NpRFqkgk1VzcRDv1N+IQuPzCGjZu5/jS1WVEgOLghp6YL0gEgCy4m6+ltuIgBBGAgBD1W0k1Rdox/wcz3bAkYi0mcUpQLhCIqAuNahlnruj8zTNDk1dOBMW2+7YtwL2eN+LHN94Qv+ZVS+QzT1XQUYjRVY7gubEeh50OUVWzJdOJCVlqYiiHATQSQENntKltosmSG3oSK8PACW69z8e1t+bQoCaVcSpwN0csp+bez1ex02ypM84mkNpqi7K8CKPdfqN+LyHT9IzU0UzbpWV7pxjZUIfAm8CeWHEYTp4CXUBRF0VXACFY8sFEMpVgRQTeeGENDz3j4Bf359V3N46mSPl3kqEH2nRtWQYosMdEOaWhNL8Zga/zboQ+uBErkLOYoBECY5MCW3aFGJ3wcFrPcjmrm8UXv+41bfdvW4ADwOmnn4owrF+bJxsXF/iuAmNqRzo8huvEeipwDIdFSYs0VQdpHMs4Y7WThpwG3BbYk8cT51Nbcc0+fnqPj498vYynt7sqgcoGN1p5N6XIeO5JhTxs7XsKa22DuS1NyWYTJuC3XmdvOxzmW6OYLZqEui3NGzcpKlbIHhlHExYHly1qipApTbG5OEmyEQETthFJ+pRyHVfOD/HVD47jwwz4+T05JAkm5ltL7QwkLqHeC9IyDS3eO4MkFJG5SAX4XNJJwFA/df9QTWLXcIy1y4qVpcvXXpvP+VPuYzbVA1/+yt/iD15z5iO1OPeOXz74dEfeizC9R0mGrhPDdUyDIDXAiSejsFWbBs6iZIpCEom0LTxNKQmxc000VaFMgjgEP7k7h6u+UcZT21xdTmQAbrd9SJv3EErAqSozTCiKiVImRRnmfnqdHZtitVMzVSWk9T4h2ZGKqv8HQTrglqTbqHVbf47N+5sr9+3PSiv5bcokk+1oeY5+DKYBk7QO0FaKldmmjVBSBUTsE4pyRPt6BFYtjrBrP8PG7Rzp3EDbYYACeFJYGid5LOo6gsp9tXNeVDxUSKgcFq2r2vQviAjmz6rh5JXjOPfM1fuqlaG3rFlzSjgVjqe04ABQ6lqJkIxj8+7fYFqpgkUzAuS8CK4bwWFhBsyuo+6rynYF2uS4FunBHcf2Sd5YPUNZZPLjgBP85G4fH/tGGU9ucQGXpU4lbDqSOpXQpWQuaWr/QNBUwNBkva2oZZr3/TxAaLb29o7TssphGUtzspz9kKV5Gz3cpiLm5YaCwGCIWH1UhARhpq7TNAxSFjylLFoL11Yd2qoTSVUJpg4KKa1dQkqm8rkDgZXzQnz+feOQEvjZPTkFVkNHjBVvqUtTTmwawbL3GdUpggxgDgR30JAOYsoQSYJI+yEFV2Kwk+OMlX04/eRl8HIdh9vLhwf4rOkzGlwGf/aGcxf+sEB+UyjmA+T9OgiJ9Jx3Ndfd8xuYrMQYmQS272O47pc5TFQpKJVwucTbXlvDYLdAIS/Q2RGrGKs5tVoAh7ZwkgM33+vjqn/Qlts18kaWijQ7miZiyaGtM1q5N2kBu7akzdy7DZAz+NXmrv1jL4CPWzkVBriZgyATDDJgVeAxQZFUNkxL24hU4W5VWKNyx0nieBqqAhBLZVHFC4aLqyJmdaBIFQU1fStMiu28EF96/ziEVL+XUlb0kSstS6H/ARJKdHYIFPIxBntivO21NTi69nW8SvHDO3xs2+9hou6gMulDeC5C5iGWHA1JUAmBLgFs2uli24GllWXjhT+b2ze7cbjde1iAl/0x0bF47oOLZgfjO5+5rfDAsw0snRViyUwVCHDdBkAD3HQPx7W3q65RtZjh4AhDFBueK/Hze0vweYwl8wO86/VVnHtiAzlPqpxmcxRrgApKcMv9Hj78tTKe3uYoc2xnHxlggzVtM0EERUVs5SSrntiNP2H5Ak1WHEgkP5saWNhOc5AMspuPBuv5bXDbCmgji8k2zzN5KRpAJod6ynRaqxgiDfzocdpWxDMpgqA0idtIYQ4cmYAeVNETqa25EBIklFgxL8RXPjAOKYBb7/cQ2167JIAUoALwPIHzTmngna+vYtn8ED6TGOg2Z1I1QeTSM2uoCYJHn1F4uvn+MuoyhmA5NEKKhbMnsHhmAxu3lbDk+FPHu3rnPLhtx1hr+PJIAV7s6AHgD+0Yrl72wPYz13/56keci9bV8cHLJzHYU0dEG7j6pzl84epuHKz4iAwvZtBNMgQgYuwcVjxr814Xv9rg45x1NfzJRTWcsSZA0VcgJ+oMiTsecvGXXy3j2Z2mA1U7OZBlQQ5FTUykjDWBuXngVXPiVIsEmAF1Fn4t4Xfr0Vby1e55h1nGYpNmq209bIE5AaTON02rgGQG6ElPQ8jUYksKIYW26uo2k5aMKGUqHyaOqta6dXIMFQIikFg+J8Lf/eU4/vwrHVj/oKsqcSCBGCjmBM5YE+CtF9Vw7ro6egtCNSTSQ7PMOBaAoKcEECow5/QIZ645hC9cHeJff9qNauygr4fiTy+o49zj6tjTWBe6TuWyjo7yEHf9w+5SdrgHP/3pz+HiS98O5s6klYp3Ma/v7z1hIcXc6SHc3Di+/bMcPvedfuyvdQBuHtTxQR0PhNk9t1mCKkkJKnWCZ7Zw/Gi9h4kqwZplEUpFlSB06wMePvC/yti4w3SgsnorEAvsRkXR10bzNkXE3HIiecahNDnJ1lhAK1WVWbcptZzLpLiaWAeISWFNU2XtbXaPwiRlNvOcw1cPZVJpYW2n+syis/Ga/YjMwWkC/NZB3ny/2bdIxQ3TnUqmZ6wkdpG+v6IzQE+3xLqVEZ7dybB9F4OMgGldAh9/RwVfev8EVi8KUOASIuKIYgdB5CGMXISRhyB0EYSevriIYhcFh2LdygZq9QgbNufg8TzcqIBSYQbOOevszcuXL/pmXN8/5uf7XjzAAeA9V/4PVIYeHess+RsWzhJvm975FLo7x3HNrRRfvKYfQ7VO5HMeSi5FgRMUmITPCDijkJRBGEfQHNVEQFIgDIFHn+GoNwjmzonx8BMO/uJvS9i4w1HtxJoBjbQi3q6ON7KgmanjkFQxSSazGXWE2AA2t+0eIxaISGvedtKgnqbAJtQoHSTN26YvAuBICy2yrSvaTJ2e6uAAsdSUZiBa2+2zVRtVJfPcdmc1/X40kXcBCIKeLomTVkTYtIuBC4IPvrWKKy+rIufEQKTaOsTCQRQpEIeRiyDS4A5cDXQHYaQueZfhxOV11IIIT27OY6IicPzK45HLdV/6yKPbH1+2uB+f/uzfHxa/h6UoAHDi8TMxMVlBsZDf+8hjlbt3bonOvP22GF//4SBGa2VMK1IUHQFP4xFSTcAKYoJKRDAOijoc7Q4ZiUgADGhUKX6y3se0bon//KWHTVs4pG/yGdrJF83WnKSOZYZzyxa+3cK9W0BgfSQs/whINiS821aAMnsryQ7K0O+pWEpW527/oLTvJzxcZKOdhnuTKXg5bBWGKKpiZR0KXUlPiKWy6ESt5D6U6iKJgNRKiSQURGopkKiAzJIFEf7mvRX85y89vP7sBvy8gKiaaCtDLDiimCOMHAShi0boIAgdRBFTadlS/S6cxag3PHSUOD78xgo4duPgeD/WnTzr7nUnnLE3DCogbhHPt54X4ABQKhZwzc/u3FwqdH79jqfPPPNfrv8VOC1jVgdB2Y3hOYoWEKJygcMYqEdElyBRRJIiFKnFBQAEBIvmhPjouyo4YVkIxiT27GPYN2YiYuanNQA3R5C5VttNKiwjMkmkIrZjiaZTvvWcrAPZtK3ZytlfxX4s+y1btr0QEt4c2DEZdeYAsNUSk7usquuhuXI7Z1PnUUsFxgTwAolEqA4AikwWIlXptUp6TLMRibS2SRUxTep4CLDvAMN1t3m49R4PBw5SfPSdk1g8I0RcR3KQGP7dCB3UGy7qDReNkCGMmC69U4l8nhOhHrjoKjP8xRVD4OVT0Dvgfb02+l+b890XHdE+PSKAA8CyhYsw0Ft+cOe+4MaTV9Yu2bdjO/pLFHlPwuWqlEtCqStBCDiBOhVGUqISE0QkrTVEILFgeohPvHcSl11Yg+8Ci2dH2HuQ4h//o4iYAy3nzWagT2G9TdSStLHe2VO85XhaoE40bBvwCfyaVRGSgr8dpI8A2zZ42963rrOKSjPQzWOWQ9lWYZHWQUEyFt5IhGnOShr9lBawIUnaAAhpuzbBgB/8l49/vKaAWo3gmW2qd+AnrxzHwsEIcVV9S9X9Vo07rDVcTFZd1BocjYAlcRLGJFxHIO87CEKJWbMWonfmiTcit+pBxCNHbDSOGOBrlkzHho17drz1Dad9YPNTT7JNkf86jwXIeQwOV5E6KSWiSKIeSPCaqoiuhvqkLaGoSSgwf0aAT71nHJedV4MnJESFIOdIvO3iGv7rXh/P7tTJ9Yk5tMGetd5KNZHaUsus1UYWpK3yYDuL3Vy5Yx6zKYp1QBwhkI/Ijk8R/EmA3M6ao8lim2CPbm+cVV20xSZKaREibXSfgF02URPRBGxTxa8tP5Ga3nCJzTs5vvPTHOoRBfJAPSa4/rYcQIFPv2cc86fFCCOVwqE6UzHU6w7GKy4mqhz1BkMYpcmJLhfwPYYwyqHYPfem3twFHwiqz+30CvOOPsABYNXi6bj73l/tvOLiE5+4s1h53Y7t25DLuXC4Sb8EwkigVlctHapqJgYiKSFFCNRDzO2r49N/NobLz6vClYCICAAJEgIL5kR4w/l1fP5qJ/31MuQ45eaGhrTPFGxfitZivdEmPdZ8HNoAmDQBGy02+6gsqf+Y69RCq33Vkn9CmgZWJdQlteIqMqnPTCaNlloWP2kgpKt+CNHvYVtxw8etHBiTSyQJrr/Nx5adDqRRwLhqK/HDWxkgCT575Rjm9ISIYpWzJAHUQ4axSQfDYwzVOkEYqVwYSgHX4Urxd+ZgQem0JzY+8+jOJctOfkH78gUBHAAWzZ+O/oHpXxrav3M+k5U3yngMOV91i4oFEEYM9YDBdSn2joYYaxA0wgierGHtyjG89w/Hcdk5DbDIQSBM0WsMQKDIBS59VQ3fvyWHHftYUs2hftusy08s7t1aoWNXlGcjmM2AtoFrPobYH4eslc9wklakT7Fe+AHQnIhlV/g005LkILB4t8noyzqbWjsXqhEgaUnIao12Gs08yWCEsd7pvqAM2L6X40d3+qiEdoWVkq4aQuK6OzjAKN57yQRWzWsg5zlohB6kFNg7RHFgJEY9EIhik+wFeA4w2N+NYufsa/tnrv7Sgf3PveD9+IIBPjA4C+vX3z42bWDu2yujz84ourUzPCdGreEijKge90awfG6IUtchPP1TDjcI8ZbXDOOz7ziEUo5BBDnUY6U2mEp5KSMQGmHh3AiXn13H//qOVTmSWG5DTxQ1Saw3LCsOC9CWJGaXp9nWmxL72Ek7xSZXejuat7eD71Ex5CSFt7bGyZbEmjeXqUnLcjcFgYCsZReAZEitccYh1dY8U/WTbbpvqEnavASAK3Hdeg+bt7laQ9VDBgzIKUEgBa69w8Utv8rhM+8YwZtfPQ43CLF+A8OGZz24NE4yB8MIqDQk8jmKYpndM2/unLffd89t1QsuuOClBzgAnH32edi5/eHqYO+5wbO/+RdwMYaBnjJcx6TNCnSW6li6aAT3bHCxdE6Ez76zirzro1bzIKSS3wkRSZotA1Q/O8TIeyKVzlvMZepcNsuBCZAt8Gaz9aYqaLAoSVur3exwHt7SH/Fq41BK2bp9yvtJ5DILemO5TW1wsxU3LZCFPiKI5vjNOSuZi4mAwnTS0mdSqAOjGuiIJOWwB+ua+aNKcIhxsOrhY99ikDiIpXPquGa9xPC4QG9B9ahxKIHnANwLMdhXxmv/2x8EEw28KHC/aIADgFNYBCHEr3eOvebUaHR97pTjDmCkUoVEBEiBCA2wXB3LFwKvOyWA73g4NFFGEDoASNKwXvAIDlc2ilGBnBPjhJUBZs6IsfuAzkVJrHdaSJxYbmQVFJKAup3ujSz3bnY4p7htg6qtlW5yDl9M0ZodmrffKUNWLL1b6s8xqkha4UN0/nQqEcIK6SuaItP7ElZzTlhJWJqLW5SFtgAfYA6w6zmGhx93UY1oOgOJeiDUAWcUPlMRZoCizjkm6hI33lPBf4uqcOMGBnqG0VOG7qfIMXbIx3nLi3jvW0+trVwz99eZjr0vF8AH+8oIG7WPv+nSM+WGBx/9i+/fvtu/6/GypioxLj17H3bs4bjh3i48/GyMT71ZYrC7BCEIOI/h8giuG8JLws4xYkHhUIJ5cyJM74qxey8slDVLg20qdGAVNFj1lUk5Whugp44jaeHliWSI9HYGfEfXt2y7bOqRfQAp/i2OJHU+tXImSfp6k5cCE3SBCSzrhCr1/9t0RYg0+ENskBsuDsVC9oxQbN/BIWKq05odEOrA5RRlLlHkEh6TcJlEKCmmLZT4+JsDHDcvQqEwhK17c7jkNB9h6KAahrjlQY5qdEK9d8bZfz9ZLfzPcsl70fvvxR8aABwvJw7s/sGnRmvdX/7N9uMCNDrQnyvixHllnLAgj6HJHKphJ/bun4ZbHxjEll2dODhawMSkj2rDRSNwEIQqshVLBimVty0i1bgxPf+n2fwJPYGVT2IB3XYs2zf1SUPiiTOKVjkxPQk3a+TmILAgd5SBbmve6UaSeULCrZF1JBMrL9PJCNI04Wy6GBojkoQrvV037lQFyVZxcjvqIpXRphxIk+E4GFVpGyUuUXQlOnMS08oSS/qB167OYbBzGjgtoaPA8eun+/HI07MwMjodNBrAW189PzhtbceXr//FTZ8qlzxxpPut3XrRFtysux4cDDo7O754wQlbg42bK58p52K6coHEcXM58h5DT55hcT9FELjYdYBjoFsf+VSCUwHOBOI4UqOnhbIMlOsWXjY10RY8k+/dLAvSVjUlo6QA7fn3FHzapiQtHPzlMN9NKwG1ts7Gi5TEoi7aogslb1tOaLNOrlozEGo5pYKqABEFYMrakFYhmQIJSmkCekiKWCijpH9YgKgzcY4py51zJIq+RGeRYloXB2c5bN3N4LkhJmo1PLGliG7HwZLZFLMHS0L4Cz6zcv7cr1ar48Fvu89+KwsOAG9586XwvbC2etXCGy86f5VcNFtg9mAdW/aG2HnQR4evgjhSSFTrQKWuZMQwZIhilqRLquppgigCnnzWwfYDXJkGy4ITKHCb/oKMylb9m7ZxNJF1ODOW2agnNpAToGetpnn8WC3bybQDPRmLbreTaFFHkLRUlu2suYD+PWwLTbV1p3peTppSK0EgIoI5fTGWLwnBHKgDg5gCYjX2xuMSvkOQ8whynsr7rzUYKrUcZvYRzJ9ZxY59ETZur6PQvUJ29i668dBEVFt3+ut/6332WwMcABYtmIVVxy3dtHjxkitXrV4jOkvjuO8ZYM+BPMoe4HAAROr+0ARRRBAJiljvzAQ8VKIRETzxrIMD+7niIk1NfNI2EKbHnUxGbzc31GwOyTdn4ulzSSsvRxupWz8uj3y3HL1l9o8BMslul0lokySAhw1u2HPvSUJZEnXE6iUuLQCnl5S6GG6uXkcRhhQD/QIrloTIMaEjSqlRMfWtXA81o1R9+TCimKx6mNXrYN2ycYzWI6w98WQxa/bCK2fNXb6po3vmUdl1RwXgc+evwORkNehYdsK3586ofOiRHZ248c4yStxB3jVj91IrmfwIZhGAQFXTR1KiUjf6aXYyg0etFmwULX1OaBOIGZEt27KRTTIldUHzdfM6jCV/MQcBeZ73y75nNpqYhOKRWm51O1VJkqnIwrLewkxKTp3KZHvmQpMzrdDJUkIyCEkRa7+p5AtwKqAyRkVSTpfsK8t4mHmr9QZDo17GxScBl5zv4bkJ+qFTTznx24dGh4PjVy47GtD87Tm4WXPmLsDQ8K64PPPyLcWeRROnLLm9NDw+jL0HOSjh4Jyo2T6ZuZlW/2/dHeupTQzfv6OgGmomI0gIXAq4mppwmrXaGWqSOJKpZDgVuFvyoDE1blsAaKsXLTkkEjgSjk4yV5nN5DD3270GsJxOKH1Q6gaXFNYUNp2ERXWoPjmDCmVphQAIKAhEkpOiWkxQxDosL3RzoFgwUMEQ1jjedG4N193ewANP+5BSqCkPgiAWUlMflYinxgDqAwcRfv0sQd5bhHdfcc5ErvukLXsP7IkXLVp0tGB5dCx4stNZEcMH45vOO33d+z7wjnNGZg64IIhUI32XwnMkXEfqpkExOI9146AYDg9RjSP84LYcDo66AFdBAhAGRomu1sm2gEiuSdaaM9pGPaGt4M4AH81O5gsg2/ZT25rvI7PpGd19qvef4p3tkSc2p85YeItiGGuuLHKTwqJHiqRjUGjGiseCIo4VwIXgCGOOvk6J/37+JMosAKIQYSxRj4FQp0+HkUymodUDiVqDohEIgLnwe88fGZx1+vtoLG7qLOWOJiSPngUHgJ7OLgDA2Pih7y1YdjpfvlJ+qVa5uy/HayjkKPK+hO8J+F4M343hOardhOcGcN0Adz7k4Kf3FlWYV0fCKKXWVIbUwUxm7DSVnGW6WNGsc2nTEqCV1qTOJ0mBPgW4MjbaDpM/DxCff8kjlx1l5kotYoWHdPsIUJMJKa3Zl0AyN1uYDfotKPSsSlUHR4Ru4KPnbxIiEYOBEomICFDiIOYxLj6tjpsfmMStv3YRM44K85APCXxOUA+lBnaMSo3hwChBR8dMXHz+iQeL0075aBSH35vW33s04ah+46P+jgA6yp2IGvHVb/nD06867eQVB32PIe9JFHIxirkIeT9Ezm/A9xrI+XXk/Bpufwj46D92YseBHOB5AHVBKINLAZ9I1evEjNnW09vaWW+7gc9U4CbW9vbBnTZxnXbokk2glq1Peb6V+ezMA2lwqt1Hp1e20kOSlFohiW5FnFpsm4enXBvWoKos944FgYi1DGgGV8VK/YoFVdexqrFsBC5mTQO+/OeHcN5JY6BBDbUwwqGQYDKgqDQIKnWJSl2gWo/QCCQ6epceLPRecJWIyNXFYtdLAcXnr8l8sevzX/gCZi469dEg5gd9Jzir4I7lpnVF6Cw1UC7WUS7U0F2eQLk4iZ8/QPCx/92BJ3cUIT0fYD4Ic+FQgjyTyDHAZWqujk1RzO1kZrzm4uz5wN2ikzfniVvjuTOWPFs5n+SI29dNt9t1ubI/L1NY3OwvUPtgbE09yBwgCdZJ0wFnvrM5K1n/Qea12b641qtan2tZgrQxKQEEwUBvhNVLati5D9i4iSEUHDFhqiZVfztGJZYtnjGy9rjuD9cmNl09MHP1SwXDlw7gAPCzH/8H3v22yx7v7c7vmjMYXNiZ2+N1lxvoKE6iszSOHQca+M4vPHzlmi48vbMIocEN5sKlVIGbZsHNLXAbJSUZIz4FuDODn+xC/RZQkyRzsDl91vyYGXUFtn5ugZtmwdxcdNyco545q7S0aWtzEFKZsfwZKpWcepqQr7XFrNV/HpBnnGACEDPbzPoMgsx9GRP0dwucsKgB361jZDzCnlGOQDgIY4pqPcbC+bMnFs2f+b5D4+z7p511+UuqvB5VDt5urVlaEb7nX3torDcaGZn8biAe8voLIb57m4Nv/XwGNj+Xx0SNAh5UDgNz4Ogwb44BHlPT3FS1vMy0dkhD9VPTEtP+IVFU0JQia3GStmxBprqzSexPM0VNe9/0uRoH+k2mSiRpo7dbYGpJ/DJUxaZTSCClPtrOTYFJB1efnURzdb5JOkjKfOH0nzVRTFV/SPVwHfO2DKqrllFrkGQjpk6uKkeb2y/xV38scPk5o/j2zQ18/xd9iHMSp568oD7QP/DO3SPF/wzD2m8Vhj+S9ZIDfPbSP8HufUNxqVS4j3funBh/ropr73jC+/T3BhA0OuEyAscVCKUAGINDCYoWuB09tjAN6KQgThxK2gbcprWDTQMyp3j7FIwmVKdLF60ktxMAwwq6ZCppjFxnJXMfbtnGlEhrczZAlT5VTv2dpXk0C3qiwS71/w/9vZMDVXdDQDPcqAR0yRqgGgDRJBCkC5hZ5jBLXhqGDmq1PGb3xvjYm8YwWR0C91bVVy/tffOyhb037to7FL/9TX/yUsPvpQc4ABTLPeAO9nJn8XF+0HemcJb+W0+ulu/vBab3STxXmcADT7uICEeBSeS5BjdNAd4+cUq2qCg2uBnNnv7V61qnFWcB0roMyKW2ytI6KUupyrtIkmxNUtCTw/iZTTw6VXCyAaZ2WZCmZpQ0vbuJaGZmTUr7fWVS3kZNDoOQoOb5WkyxmXjmiqQBIaZbunEZJwc4ADAqIFiMB572MTzci4Eegq4OiVedPB97x2e/6/3vPP+Gb31nvXzXn7795YDeywPwzjwBgHjb01/YN2/Z8T/8wXUd/A1nHfrf1YlDHWetqWPvoTE8sbEDDZJDiUt4DHC09XZYqpKkfFO2qCFTgTsBtkVVMpw1xUEKZLPNhMhhWi+o+6ozCEnGRmast36hfF7Tnb63TZsNENvzb7sRj0xTB8yppamCJ/mMhDbplFhjuaW23sl/TJBp6y20adfAJnoaGoFETCkYFZlsRQkCh8eAkLju7hwOPOfgVas5Fi5YPXTuWZeODs5Yvn14rPGygRt4mQBu1rxlV+Hfr/knzOxf8R+dpYpTzk18tde/t2fLfREYd9HnSuS5aa+mwO1yRU3MiTftSNsapjc9tTNgp600xXYOYb2vkDJDOezHzTZzoEmq2yvAqla3qEryHhYnzoSu7dtTOJTZPBp9UFPZ8vLk86CzBE1hsLTqNKz3ANGj+ShJaImhGESDvLmHPaHqaDD/IyEAY6YIWY2ZDCMOIRjy+QCcBRgJC+joXzGc6yh+6PR1l3x37/BGwuiLz+1+MetlBTgAvPlNf6Z2ZTT8XVCX79/pfPHup2/r6/AJZndJBDFwYBzI6yw0z1XKiZRApHMYUsepOTzfBtx2zgolLbwWOofDVHLH1g+elIAZgFhWW+gbKiXVvshEb6bIHpQJXYAFZlgFGWh9PJsOLFvOQCbV1dT4qIw/vU0QC+B6Ho9+H2ZUlaYTjXmFOasQGFqjnhwLlTAnJQFnAlKqNAuXCxwczSGICujrlLjiHIITTzrz4GUXnvlXQRh9d2hkExzbyXiZ1ssO8GRH8h4cGJ38V9ZxETnvjPIXyvhlX4dfQbEU4rYNAerVPHKuRMEn4Ey1E6gFKq8hOaFmTt/NzTKJ1YuQJOqLnWAFpLSEQCIW6ZgM1QjH+iypQSIBUKLpq+kMlZaBmSw+9d7WqX+q/dBiwWVW96ZZcFMqWwCuIpbZkHys8z/SfZXuHykBNR5btUe2V6z/WWKqfRhJvA4JIIopag2GIKTgTKAoCUr5AKPVCu58zIdDHSxfNAdnnXXywVdPP+0qIPpXQjqOFcyOHcABYFpXEbVK5dt/esm6aOVs7+92bb23q+A9g3s2CsSNAkp5gs4iQ85nqNRjjO6NEUVIRnEDqTXL6twkHUOSAJ1krDqxIC4EEEFTFH0dxybLLgVTIi/q8DeVUH2yqVXkqw+WpPmOkQvbgDy14lYXLtsxTrbJBOjmAFD/u9alhebI0ElNMRDGaUVPdh9JPXVHXcO22OY7SSSjwyGVIMiIBGXq9Llrv4PJKkchp5K4ukoMlXqAhzaGWDm/FzPmnzXqlNd+uFZj38nnD9/e+KVexxTgAJArFBBF0fdOPmntSNnbvWCkUvzygYO/ceZ2x+gqOejrcjC9j0DSGu7dTOCDoegp2TD94UgLTWHGcpttTKftUqUAGMuZ5GtA0ROpwR1pC2gW1c4ZIdoxMxoyhRqiqulApm+ffm2783I7OkIygLaAnej/MuXiJLWqgkhIUMSaOoQxQRgBsSDJAWr8GkrVeD4mCVICI9U8HAI9TFa9ZwJyolqp5f0AZV7BdXf0gMQ5DPZxCMHhux4GenN4zYUnhkG98yOLlqza4nruzzzXwbFexxzgAMA5F5PjD9209tST3Ace2l99+6Vd39y68Tek4Md0oIdgyZwaHH8IjbgTDkmnfmW4qhWyN+BOrLkGt0m4ZywdCgUCSKGGYYVxrJqHRkAoZGr9oAQFo6snH25ZP6LlFGqD23I0pcVWSAbd+vtDA1irPoyYMedWG2h9MY+r7yAgpfpecayoSiMEGoGiKQTpvuFMjc8GkIjkvE31slJaVLpt8n9ASYAOr+KxHQUUwPXEawe+3yHmLDxJnjVz3p9vG1/0b09s2RGcccJxxxpWClvH+guYVSyfiA0bng56OmZ9b81yrC/7weVhbeRvunO7MGdwCLc/EcGjDsqehKu/tYFXkknISBO4LcrCCBij4IyAc6qfmzYNdRyBWkOg1pCoNKQpTEnPDFKBTGajLlBynSK2ScsFqa2fuTQByLw8G3439+18+Sy4GVXT5xgxlEVdA4BwFbc4NEExUSEIQqHqW7Xawc2sVpZ+eUKV34EmkBMoS89k2vckCBgm4KNEClgyexJ3PuyhIx9j4bxB9PQPfCJXXvjD3r4Zu7o7x4LBGa8McAOvIIADwKpVywCgdsOPfrxxT3X5F88/bpdb9sXHb90wzL59Uzf68xTTuwnGa8DIhETeNXKVttBUXdtj+AyFYRrk3KFwGIHrEDgc+qIOGiEjPLZdohESeLoDGTdFGhqsjCoQSCsoYjqyCgI1d4jovn9AxgKalYAb6sEMLbG5OMuCmzFzLZL7Ztq0w2MUcsDjW4rYvZ/DdYg+mAkcTiE4Tc4ilKgzkmlVrOhVSq1AKGgcQ+rPz/kBhscc7BvOY3ovwbsuGkIhV4GUq+POnsHPve6S1V+847bN8eJlpx1rCLWsVxTAzbr0D1+Px351Y7x63RWf3HtgPx9/7K4PLRzY4JWcChbMBBqYwI/udeDEDJwBDiNwuLJShnYAyKgTVFMUhxG4LoHvAJ4L5DyBvC/Q1xVg1ZKDuOdZF1t3daI7BxVRdVS3JcksiOrTu2n4T/S4PZIMeUod1EzYHun3ArKBqjQya/Nufc1sgAs9Pl2Cc5VT77khyoUqnt0T4Pr7PfS5QG8HkNeFJsI1cicFozrFRKaDrAQAxAQxFPAVNaNq33IJwiq45ykfUdVHbV4JSxd04RPvXdLI9134tx2lwU8SegPe9tZLjzVs2q5XJMABYPW6S7B7/yF05cnH3/vHF9BnT1p46p2/vIWuWjh26r5DOzlnvfAdjpynAe4okBOoPIkoTgGmOLLi3ZwTuFyBO+8LFPwY5UKEzmIdswcCvP6MMTx5TQ6jjRwohOLLpl+5kXEpgDilHEpaU0+JhbLEQmjervOwm4shWpxKYiiJuvBmq02bwM1iPXU6QsFvwHEq+Ml9Lrbt53B7JByuS8USq63+/0gQcDOUwco3j2LF2SlRZzUJVWyc9zkklXhqRw1lfzBaTDvun7nk1aKzf9799br7cSmHQMjRL1Q4WusVC3AAmNnfaW5edWjXdTjxHctKe4ZH/nnDL8gVeVanc/pDCMLQCASKLkXOUwOpJqsEYaQadRCuQtiKpxMVHXUAzxXIeUIVYeRD5LwAhVyE/s4ILA5QlTkUuHo+E2mvldh8I5IGV8x9E0wxQGluyKOfltG8ze0kr53JzIUb3p3Ur0qLnggN8hCUBRge8xDWCSZDIFfXr6VC83gCygjimEHwlNq5jrLiYUQwWVWULu8DvidQqQmMjjGsO74LV1xYErtGV1w/FPe8+5qfbZ/42PtXHWt4HNF6RQPcXp2zrsC+A09P9M7233/uGUs3y/DJlYumj17ys3s2YmTEw+xpHro6GBgV2Lo3xP79AkUXIHkKD+kPyrkK/3uOhOcK+G4M31WnecYirYULxFKPk5YyoRtqxrsOahOTTK+bwyO1yIJIzXEBSdO+gUk6LWzqZDmP2qlUFtri2hkFJb0wDWBKVUcCSgQiKVAJGUoBgcclODfvJ8AjgtjRPWigcn2KuRh5P8DGXQT7hl1QQtDdwTCzr4b9IxOoy1Vo0I4bTz5p+ROneINfk3F9YvGCo1Px/nKs3xmAA8DAtGUAMHRo5Lm/XvrO4+fIxq9RJ+VL7ntgFxbNHgFjEgR59PaO4/5NHuKQI+cpQFJCEjXB4ar42Xc0wL0QrhOC8VCBJVPNom6ZyCahJDM2OwmTE4DEREcgCajQqdTSTEdI0rmyQR1L2jRWmVOZUBHKJCgRCT9XEqPJxra0R0kAIRDFEaoRRy0k8EIJN1QHdBhLuLGqahf6gORMorMUIJc/hHtvy8OLCSIRY88QMGd6GYuWr0KdLL9x5ZoVHxw+NLlj4dxZxxoCL3j9TgHcrM7uGZBy1w5g6YdXHVf6we7t48GiheTT9z5SPW5GVx0LZlQRS4ZGpAINCthEqyJSA1zAdWJ4bgTPiZDzA4xNRLjp/gLGIxeOZ8+7T7mqqb8VGqjMysqyk5pMDxwhskGf9HlWPammI4623JwLdWFCHbQkKSdQ30OaOTeqTjKMKHyP4TWn1vDjX9VRbfioOgS5iCCIVL/tKJaIYolYSESxaukAqDEhlNaxaU8eCztjrFlZQOQvxvI1K+8qltyvscLcxw9OhjsWL/jdAzfwOwpwACBkFgBsBrD5kV99A0Bpy9nnrP5hkW5Y0KjcwiTUKdpzGFxO4ThUd1cCOJdweQpw1w3huwFGJmNs3OEjgoMO3lRwoWU/IQERp4DllCS5K0YTp0QpFXGsrLIwzeqR1b+NQsKpSg/mXKiWGo6Aw2JwriiKaWNsioVj7bRSIhEyhjDiABwsm1tBya9h76EiKhFHISLIGYBHMu1LEko0AoJGQFEPKKijUoBXrDoxft2rl27euK/2ntVr1+0VAhs9h7yIX+eVs35nAW6vteveh4nxsceliC+ksZgxPLnq+lNX/apMJvcWqKyjo0ThOipvg1EJlyswuU4M3wuQ9+oo5mr4p5tc7DiYh+MwFLhEzgF8R4GPQHW8DSOgERNEsQIqZ4ArTK2iDr4QkkQg08p1O0HbpieaayfSn4DLY7g8huOoYQKESESCIQg4REx0UhiF1D28OXNRD1zM6Knhv587jq/8RxnjHkOeExRcgjBptqM+vlqPEAsK3wWGJzoxfdaMyj9/9oLxvUPksv7Buc/NmMl2OOx3G9hm/V4AHABK5Q5IGe8ATt01Ho+vePcf5U9xSPwvmzZtjhBs7L738ZESlwwD3RF8N9JymIDn1tGIKohRw3PDZVQDD8U8RcERKHgSeVcBVUokQJloAJMhUVX/joTQvRdNyN7o25xBcV6eDohCkhdiFBPlEzhMWe/kzOKoM4vrRHCYQC1wEYQcQcgQRipow5lygBkVCAIXnSWGmT0BOJ1EwROoRAU0IuU/VOoxHE4wd7qA5wU4MN4/sXzl8pHZcxdwzxXvWjl/3gOSdo4JIQVnL0k3kWOyfn/+EwCEMBBCRMGpja5YNP2Wzs7y4htv+NmCU191xecGZp3wZFd3z2ML5tA6c4ChUQrOAjy0McB7vlrG+t/kUcwrvu4z1dO6nJPoLFCUCxQ5j6DoAzkPWLW0gjkzRjFUizDSIKiGBEGUJjkpvqsOCMN7pZZiVG6I1AUdiio5TNMSLuA4ajiA54Yo5OroKo1h2/4JPLwxRKXGMFlzUK1zHJp0MTLuYrziolr3EEQcYcwwXuU4+/gI3/rLPVi7eBS1MEZHgaCjw0dN5OuDg32PvfbCk558zzve+Llf3HzzglyutJj7s27Z8Vx9lBLyewVu4PfIgturo2sAUAG66q7d2+C4/MuU0C+/4eIZrK9nwTcfeSpaHGDkjEr4JLv3CQkieuAKhlcdN4xr14cQjVzSz7q304HrSOw6ECKKCFbMdfDHfxAAbAgf/lYdD23qh0sZHJPOCpLIeFSnD8RxmltuNG+j5jhcKIeXC2WtNTVx3RCFXA2PbQ3w4X/uB4vLePM5PqZPI4iiGDv3cbgOxbSYwOUCUcTx3BDDLY8UMTnRBRp24cK1Ddwhc1i3dn68dMnAPVv3uxurce1KzoM4n/Pxoas+JmfMmF891r/XS7l+LwFur1kz5wHaJ/wIEB06NPbuE0/2u0Rw4PO/fki6I5M748vP614boHRCqbARJSfARLWBnMvQUaSYM8AwrbeO3WMhJic99HdzjE5044SldXzwkkN4yxc7EIiC4uex+aiUjzMKOBFBZLITtR5vlBzPFXBd7ew6MRwWg1LViNR16vjaj8rYtLsXp88H9g1zLJ5dx8GJCTy2uYhpHTlQQpH3GWp1gdEKEMs+nHXCdGw54D+8etGeR/LlBez8c14fzJ3V+7FqrTFaKpWP9U/ysq7fe4A3r87ODgAYBfBeAHj0sVvAGc7avBsXdpWXX3b5xY0lYyMBhvduQV83xWBvDf19Q6hHEhO1nqSJfD0gKOZiUBLC0RU44w0Cl1kDobSs5zA1AdpMXXCY1JHUGDkvUlKlGyHvBXC4RCPgiITqQTJRp/BdAUYpGANybgMNMYZn9lCEAcNgXwmR9FDoXgqvh+DKP+p9ds1C9/p9h3K/kPT4u97z2lcDuPJY7/Zjtv6fA3jzWrP61QBwV7UyfBeAu6fPEQv27x8SP7j2gFiyeGDeiccV/kqEG7BqqYvHggbCoIaCN477nqiikHNw6soA23fGmNMDjEYN7B3lkA2OakBQ8FUvEUYlfFdACOVU+p5EwY9QzIco5ALkPWW1Jalh50GGWrWEedNjrH8sDwcUaxYOYd/+DjQaAHPLmDmrDwsXF3HKsgXoyY1/kTnD27qnn0v9QiftmeVsAXDLyjU9x3rXviLW//MANytf6AGAW8z9euUACPU6RbDz/pEDE1g4l4fLFw7+xWAPvWDRrAq8vVXs2/0Els8dQTDp47TjKHr7JX5wh0CJVRDRKh7dXEanS1BtSIiYIOcBtFegmAvQUayio9BA3q9gw9YYRHShszOHH9/XiRkdZfT3ONh5wMGy2TNw7lkrsedgAYtnuJjWL28tBLv/btniorN27fFYvXjgrslqcKinf9qx3oWvyPX/AT7F8gvTAOAQgJ8AwO7n9gIgz3Am+sv5QPjlAPv3DEOijmLBRV8Xw5JZE+Eb/+D0T/XkKxf39w2H//7LAioVjoIj0Z0HZvYxLJrFMGugjo5iDb4bYqwq8Pg+H0sGOp2O3vxPn9j60KfKS30nFCF8L0JfVy+WLToJSxY5KBc4zfl0P+TqbZ85YQCfOdY76Xdg/X6o+a+Qdddd9wIg/YgOdiyYOST/7XYPB0Yc+Eyiw5eY3sOwcAbB9GkNFPM1ODzC3lGKf/uvMk5eUCArlgyOCSn3rzj+5GP9r/zerP8LVG2SdL2mf+UAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTk6NTA6MjIrMDA6MDD9l3QRAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE5OjUwOjIyKzAwOjAwjMrMrQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 4}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 55237261
    {'hecke_orbit_code': 45035996340815683, 'n': 1, 'trace_an': 18}
  • id: 55237262
    {'hecke_orbit_code': 45035996340815683, 'n': 2, 'trace_an': 2}
  • id: 55237263
    {'hecke_orbit_code': 45035996340815683, 'n': 3, 'trace_an': 0}
  • id: 55237264
    {'hecke_orbit_code': 45035996340815683, 'n': 4, 'trace_an': 76}
  • id: 55237265
    {'hecke_orbit_code': 45035996340815683, 'n': 5, 'trace_an': 20}
  • id: 55237266
    {'hecke_orbit_code': 45035996340815683, 'n': 6, 'trace_an': 49}
  • id: 55237267
    {'hecke_orbit_code': 45035996340815683, 'n': 7, 'trace_an': 28}
  • id: 55237268
    {'hecke_orbit_code': 45035996340815683, 'n': 8, 'trace_an': -12}
  • id: 55237269
    {'hecke_orbit_code': 45035996340815683, 'n': 9, 'trace_an': 180}
  • id: 55237270
    {'hecke_orbit_code': 45035996340815683, 'n': 10, 'trace_an': 56}
  • id: 55237271
    {'hecke_orbit_code': 45035996340815683, 'n': 11, 'trace_an': 198}
  • id: 55237272
    {'hecke_orbit_code': 45035996340815683, 'n': 12, 'trace_an': 54}
  • id: 55237273
    {'hecke_orbit_code': 45035996340815683, 'n': 13, 'trace_an': 0}
  • id: 55237274
    {'hecke_orbit_code': 45035996340815683, 'n': 14, 'trace_an': 4}
  • id: 55237275
    {'hecke_orbit_code': 45035996340815683, 'n': 15, 'trace_an': 60}
  • id: 55237276
    {'hecke_orbit_code': 45035996340815683, 'n': 16, 'trace_an': 364}
  • id: 55237277
    {'hecke_orbit_code': 45035996340815683, 'n': 17, 'trace_an': -138}
  • id: 55237278
    {'hecke_orbit_code': 45035996340815683, 'n': 18, 'trace_an': 298}
  • id: 55237279
    {'hecke_orbit_code': 45035996340815683, 'n': 19, 'trace_an': 24}
  • id: 55237280
    {'hecke_orbit_code': 45035996340815683, 'n': 20, 'trace_an': 160}
  • id: 55237281
    {'hecke_orbit_code': 45035996340815683, 'n': 21, 'trace_an': 352}
  • id: 55237282
    {'hecke_orbit_code': 45035996340815683, 'n': 22, 'trace_an': 22}
  • id: 55237283
    {'hecke_orbit_code': 45035996340815683, 'n': 23, 'trace_an': 236}
  • id: 55237284
    {'hecke_orbit_code': 45035996340815683, 'n': 24, 'trace_an': 124}
  • id: 55237285
    {'hecke_orbit_code': 45035996340815683, 'n': 25, 'trace_an': 586}
  • id: 55237286
    {'hecke_orbit_code': 45035996340815683, 'n': 26, 'trace_an': 0}
  • id: 55237287
    {'hecke_orbit_code': 45035996340815683, 'n': 27, 'trace_an': -6}
  • id: 55237288
    {'hecke_orbit_code': 45035996340815683, 'n': 28, 'trace_an': 691}
  • id: 55237289
    {'hecke_orbit_code': 45035996340815683, 'n': 29, 'trace_an': -286}
  • id: 55237290
    {'hecke_orbit_code': 45035996340815683, 'n': 30, 'trace_an': -356}
  • id: 55237291
    {'hecke_orbit_code': 45035996340815683, 'n': 31, 'trace_an': 642}
  • id: 55237292
    {'hecke_orbit_code': 45035996340815683, 'n': 32, 'trace_an': -379}
  • id: 55237293
    {'hecke_orbit_code': 45035996340815683, 'n': 33, 'trace_an': 0}
  • id: 55237294
    {'hecke_orbit_code': 45035996340815683, 'n': 34, 'trace_an': 2068}
  • id: 55237295
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  • id: 55237490
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  • id: 55237491
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  • id: 55237492
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  • id: 55237493
    {'hecke_orbit_code': 45035996340815683, 'n': 829, 'trace_an': 180216}
  • id: 55237494
    {'hecke_orbit_code': 45035996340815683, 'n': 839, 'trace_an': -99730}
  • id: 55237495
    {'hecke_orbit_code': 45035996340815683, 'n': 841, 'trace_an': 63212}
  • id: 55237496
    {'hecke_orbit_code': 45035996340815683, 'n': 853, 'trace_an': 25040}
  • id: 55237497
    {'hecke_orbit_code': 45035996340815683, 'n': 857, 'trace_an': 21740}
  • id: 55237498
    {'hecke_orbit_code': 45035996340815683, 'n': 859, 'trace_an': -31786}
  • id: 55237499
    {'hecke_orbit_code': 45035996340815683, 'n': 863, 'trace_an': -83294}
  • id: 55237500
    {'hecke_orbit_code': 45035996340815683, 'n': 877, 'trace_an': 78232}
  • id: 55237501
    {'hecke_orbit_code': 45035996340815683, 'n': 881, 'trace_an': -83704}
  • id: 55237502
    {'hecke_orbit_code': 45035996340815683, 'n': 883, 'trace_an': 4704}
  • id: 55237503
    {'hecke_orbit_code': 45035996340815683, 'n': 887, 'trace_an': 129268}
  • id: 55237504
    {'hecke_orbit_code': 45035996340815683, 'n': 907, 'trace_an': 117252}
  • id: 55237505
    {'hecke_orbit_code': 45035996340815683, 'n': 911, 'trace_an': 10586}
  • id: 55237506
    {'hecke_orbit_code': 45035996340815683, 'n': 919, 'trace_an': -18348}
  • id: 55237507
    {'hecke_orbit_code': 45035996340815683, 'n': 929, 'trace_an': 18396}
  • id: 55237508
    {'hecke_orbit_code': 45035996340815683, 'n': 937, 'trace_an': 116312}
  • id: 55237509
    {'hecke_orbit_code': 45035996340815683, 'n': 941, 'trace_an': 52140}
  • id: 55237510
    {'hecke_orbit_code': 45035996340815683, 'n': 947, 'trace_an': -27524}
  • id: 55237511
    {'hecke_orbit_code': 45035996340815683, 'n': 953, 'trace_an': 189466}
  • id: 55237512
    {'hecke_orbit_code': 45035996340815683, 'n': 961, 'trace_an': 28290}
  • id: 55237513
    {'hecke_orbit_code': 45035996340815683, 'n': 967, 'trace_an': -136172}
  • id: 55237514
    {'hecke_orbit_code': 45035996340815683, 'n': 971, 'trace_an': 72528}
  • id: 55237515
    {'hecke_orbit_code': 45035996340815683, 'n': 977, 'trace_an': 21868}
  • id: 55237516
    {'hecke_orbit_code': 45035996340815683, 'n': 983, 'trace_an': 24578}
  • id: 55237517
    {'hecke_orbit_code': 45035996340815683, 'n': 991, 'trace_an': 228512}
  • id: 55237518
    {'hecke_orbit_code': 45035996340815683, 'n': 997, 'trace_an': -44022}