Newform data - 81.9.b.b

Formats: - HTML - YAML - JSON - 2025-05-22T21:55:09.085811

• 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': 6561, 'analytic_conductor': 32.9976674149513, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 3, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [81, 2, [2], [1]], 'cm_discs': [], 'conrey_index': 80, 'dim': 16, 'field_disc': 38896879693901609469044157902560556597310816648167424, 'field_disc_factorization': [[2, 32], [3, 8], [37152875506471453177, 2]], 'field_poly': [1623834669236224, 0, 305638522445824, 0, 20221245756928, 0, 629108384896, 0, 10121979748, 0, 88203292, 0, 419701, 0, 1024, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [10653979264858865664, 0, 668431448589017088, 0, 14741288156800512, 0, 152873337529728, 0, 819880359588, 0, 2381488884, 0, 3777309, 0, 3072, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503668497842257, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 49039422187774033054116823149433024944869376, 'hecke_ring_index_factorization': [[2, 12], [3, 84]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '81.9.b.b', 'level': 81, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '81.9.b.b', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{8}q^{2}+(-2^{7}+\\beta _{1})q^{4}+(-2\\beta _{8}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '8.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '81.9.b', 'trace_display': [0, 0, 0, 3692], 'trace_hash': 1887718341801663138, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.031', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.901', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '972.649', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '117472.537', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.509', 'prec': 17}, 'traces': [16, 0, 0, -2048, 0, 0, 3692, 0, 0, 10752, 0, 0, 63860, 0, 0, 95116, 0, 0, 185108, 0, 0, -691980, 0, 0, -541712, 0, 0, -997132, 0, 0, 571136, 0, 0, 1027656, 0, 0, 4354268, 0, 0, -2973768, 0, 0, 5453084, 0, 0, -4234044, 0, 0, 14602560, 0, 0, -25384960, 0, 0, -14452572, 0, 0, 1213068, 0, 0, 31037996, 0, 0, 24253000, 0, 0, -62356828, 0, 0, 11075124, 0, 0, -21273664, 0, 0, 69593876, 0, 0, -151045036, 0, 0, -40201140, 0, 0, 160995564, 0, 0, 366976068, 0, 0, 373680796, 0, 0, -544741584, 0, 0, -133878688, 0, 0, -400307612, 0, 0, 158123984, 0, 0, -678493908, 0, 0, -649814764, 0, 0, 944146868, 0, 0, 717261420, 0, 0, 1387977936, 0, 0, -1248331640, 0, 0, 385137512, 0, 0, -455379196, 0, 0, 562882080, 0, 0, -934248632, 0, 0, -900898992, 0, 0, 1647357944, 0, 0, 679187412, 0, 0, 1289727096, 0, 0, -2704771324, 0, 0, -982816288, 0, 0, -1203277656, 0, 0, 278676860, 0, 0, 819580284, 0, 0, 59775152, 0, 0, -542892552, 0, 0, 1037399928, 0, 0, 1169983508, 0, 0, -738907144, 0, 0, -2994227460, 0, 0, 3379111448, 0, 0, 4477076796, 0, 0, 5496006636, 0, 0, -5211898116, 0, 0, 359994344, 0, 0, -5841641784, 0, 0, -6674037952, 0, 0, -2613877188, 0, 0, -2217485472, 0, 0, 16660269908, 0, 0, -1827848884, 0, 0, 14797453896, 0, 0, -6155083688, 0, 0, 226992156, 0, 0, -12999166396, 0, 0, -17194433376, 0, 0, -458447764, 0, 0, -12135748620, 0, 0, 18764809944, 0, 0, 12807662076, 0, 0, 24111021152, 0, 0, -5742550516, 0, 0, -6303393548, 0, 0, -12280628652, 0, 0, -8827869648, 0, 0, -21070116860, 0, 0, -15548094572, 0, 0, 41615885148, 0, 0, 12725869176, 0, 0, 65115626300, 0, 0, -27624195148, 0, 0, 6913790652, 0, 0, -28263527728, 0, 0, -16069252836, 0, 0, -21750180232, 0, 0, -65352468108, 0, 0, 41425772416, 0, 0, 37525666868, 0, 0, 59327073192, 0, 0, -72344583732, 0, 0, 23531517376, 0, 0, -36105122836, 0, 0, 8320679960, 0, 0, -117499813584, 0, 0, -24191060992, 0, 0, 78683696132, 0, 0, 54618850884, 0, 0, 108284818800, 0, 0, -67657479736, 0, 0, 105200812308, 0, 0, -745861156, 0, 0, 39858727812, 0, 0, -134145726664, 0, 0, -112699100772, 0, 0, 84597049552, 0, 0, 120800891892, 0, 0, 48462159368, 0, 0, -219929942916, 0, 0, 90395561052, 0, 0, 33465340872, 0, 0, 31306346400, 0, 0, -366096313052, 0, 0, -146392093456, 0, 0, 228604686924, 0, 0, 116116516472, 0, 0, 216954045096, 0, 0, -175966472992, 0, 0, 163780700556, 0, 0, -14491583520, 0, 0, 57602658776, 0, 0, -277756033644, 0, 0, -217711480788, 0, 0, 151059198884, 0, 0, 302845338724, 0, 0, 202827961072, 0, 0, -388032928284, 0, 0, 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0, 0, -848826968536, 0, 0, 381814164076, 0, 0, 483181057632, 0, 0, 1028435172420, 0, 0, -708564887172, 0, 0, -82511803624, 0, 0, -651496142328, 0, 0, -55172213104, 0, 0, -1072801668792, 0, 0, -549326322936, 0, 0, 1285400463216, 0, 0, 153253420408, 0, 0, 996326833400, 0, 0, -785895225516, 0, 0, 49173545748, 0, 0, 149972961368, 0, 0, -240823434928, 0, 0, -171625684324, 0, 0, -709703168532, 0, 0, 381391145096, 0, 0, 1387348859856, 0, 0, 511260778856, 0, 0, -445328484960, 0, 0, 659503390240, 0, 0, 152498517596, 0, 0, 217750343936, 0, 0, -1096761568848, 0, 0, -528980116884, 0, 0, 446081664768, 0, 0, -17310248320, 0, 0, 278190432036, 0, 0, 108315833352, 0, 0, 99226702664, 0, 0, -237006886524, 0, 0, 368165545656, 0, 0, -1277640680836, 0, 0, 759037957080, 0, 0, -129345534300, 0, 0, 40470135852, 0, 0, -970141077016, 0, 0, -1482300819264, 0, 0, 337145577928, 0, 0, 801093053544, 0, 0, 475151009748, 0, 0, -551490895228, 0, 0, -48510934828, 0, 0, 379387039236, 0, 0, 493186135824, 0, 0, -1077377797120, 0, 0, -122328572444, 0, 0, 820328586276, 0, 0, 156728857196, 0, 0, 884307297708, 0, 0, 295935973284, 0, 0, -14621031180, 0, 0, -1694135515712, 0, 0, -58123200808, 0, 0, 279342370604, 0, 0, 443752145076, 0, 0, 516324581960, 0, 0, 1233999997452, 0, 0, 2161736814128, 0, 0, -332373271320, 0, 0, 1425603692856, 0, 0, -1772682738444, 0, 0, -1422557763196, 0, 0, -3761313969468, 0, 0, 314880001808, 0, 0, -1039064919060, 0, 0, 1361748740692, 0, 0, -521429397132, 0, 0, 1056769351016, 0, 0, -259569092296, 0, 0, -1297518425752, 0, 0, 362872484148, 0, 0, -507133085616, 0, 0, 3255591351012, 0, 0, 1300976827052, 0, 0, 1260746307084, 0, 0, -699512036648, 0, 0, 4156749858752, 0, 0, 616786575192, 0, 0, -3522635916420, 0, 0, -2405967360744, 0, 0, -2780021342244, 0, 0, 2482004398640, 0, 0, -3505294166700, 0, 0, -1292927695016, 0, 0, 567736988628, 0, 0, 1011998082776, 0, 0, 5543052816792, 0, 0, -2600969394928, 0, 0, -4382849397136, 0, 0, -2693123705364, 0, 0, 3364256926176, 0, 0, -1904757568736, 0, 0, 1931082351452, 0, 0, -481711146700, 0, 0, 6879227825556, 0, 0, 633518331536, 0, 0, -1681467772752, 0, 0, -1955620698448, 0, 0, -4429217385720, 0, 0, 4660919731104, 0, 0, -2062342824056, 0, 0, -2140411389308, 0, 0, -2761082293560, 0, 0, 7495379104316, 0, 0, 5036971750476, 0, 0, -5449256106376, 0, 0, -1135558486464, 0, 0, 73471493632, 0, 0, 5896049646164, 0, 0, -2772688946760, 0, 0, 668402858700, 0, 0, 1138361767704, 0, 0, 7387455702000, 0, 0, 4487588295680, 0, 0, -2718994745820, 0, 0, -7285169977152, 0, 0, -11234428074568, 0, 0, 2169724860572, 0, 0, -8608748754516, 0, 0, 2260457799728, 0, 0, -2894820481080, 0, 0, 6289623604884, 0, 0, 4260342572568, 0, 0, -3212530348720, 0, 0, -2817921934560, 0, 0, -230624342880, 0, 0, 8832744119832, 0, 0, 1199670025564, 0, 0, 1493213530932, 0, 0, -1935757167564, 0, 0, 13221314495004, 0, 0, 1935107038464, 0, 0, -11779233871972, 0, 0, -5312639837668, 0, 0, -10899379787280, 0, 0, 8432934781072, 0, 0, -7922047373104, 0, 0, -3632207557068, 0, 0, 345627608748, 0, 0, 5932920674448, 0, 0, 11362212855124, 0, 0, -6009214865188, 0, 0, -5110237698768, 0, 0, -5923015393660, 0, 0, 5047073638764], 'weight': 9, 'weight_parity': -1}
• mf_hecke_nf •

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

  
  {'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-128, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -2, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [231, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -101, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [672, -3, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 112, -3, 0, 1, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3992, -11, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 317, 0, 0, 3, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5947, -84, 1, 8, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -162, 25, 0, -3, 1, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [11567, 63, 0, -9, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 946, 56, 1, 4, 0, -1, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-43252, 322, -5, -7, -5, -5, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 714, 101, 0, 10, -2, 2, -4, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-33857, -339, -5, -5, 9, 6, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6815, 48, -2, 55, -9, -10, -4, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-62361, 876, -23, -154, -2, -5, -2, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -154, 202, 9, -39, 7, -14, -7, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [35678, 301, 20, -62, 56, -6, -4, -1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 52, 84, -5, 47, -49, -15, 4, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [64260, -700, -4, 120, 75, 12, -6, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -1900, -315, -14, -50, 2, 4, -14, -5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [272097, -1585, 20, 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0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -14182197918, -417793101, 1077526, 345994, -9132294, 1690232, -2328948, 2038574], [63253432568, 1040416408, 2051196, 17186824, 32956578, -2068068, -909178, -1879466, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -5011625832, -207993531, -781568, 19044424, 6034996, 4089412, 4837378, 3858397], [-162558684522, -785607766, 2361076, 1438478, 5410250, 2644784, 3527382, 1711492, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5986485686, -415737085, -5603434, -5618161, 2671681, 2430854, 1842190, 1200786], [39599094062, 582330738, 496816, 9569256, -25620544, 4325188, 2898920, 277230, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6830072344, 353780470, -5020119, 58773827, -16633513, 3836772, -1026158, 1726084], [-122212311540, -686179677, -4585720, 60117112, -28590550, -4147878, -40782, -1391705, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 13232082478, 239282423, 4051056, 8676440, 7078472, -2836386, 754576, 2098585], [468467335375, -774983385, -2141308, 26185128, -6755913, -2191722, 572015, 1091418, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -12203967830, 494058251, 8728413, -84828232, -7162132, -1664548, -342033, -2081476], [-340550212148, 197770644, 2398980, 117481264, 19940722, -3549344, -753918, 496782, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -10170849678, 98378733, 11196420, -48773992, -4788616, -6961318, 171420, -4109889], [280473423586, -21900257, -12609592, 4607718, -16697032, -2516334, -5470960, -84147, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -3461151522, 419208995, -7265298, -37161411, 53355, -1195674, 6076842, -243564], [135576142517, 987997047, -3711444, -130657781, 3747832, 4772950, -760244, -2025803, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -8563754958, -107822693, 7732904, 43716517, 1895513, -3879180, 4476043, 4274410], [-200749061883, -2326066865, -9935032, 141962848, 9682470, -1832438, -3790762, -1967617, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -23831361334, 161328878, -10445481, -69593150, 12301150, 2116854, -4658617, 1059158], [0, 0, 0, 0, 0, 0, 0, 0, 15817401728, 134659319, -7358506, -3539054, -3758258, -11698728, -1315698, -3438087], [0, 0, 0, 0, 0, 0, 0, 0, -19719054036, -29772890, 3487327, -44318895, 3254045, -10094168, 2751234, -5787648], [-332007674733, -156879151, -10577772, 137828017, 2632862, -338502, -8229030, -1003219, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 38136429224, 411660697, -2504502, -34782864, -9056960, 4057256, -3569478, 271977], [0, 0, 0, 0, 0, 0, 0, 0, 17436930418, -12164299, -1317565, 124080354, 38299946, 383408, -2565735, 665534], [0, 0, 0, 0, 0, 0, 0, 0, -1632584400, -138779030, 3528506, -43244671, -5442361, -16052552, -5956218, 529797], [-375574218997, -981046111, 6923836, 8485813, 19261650, 3285622, -4931126, 3161229, 0, 0, 0, 0, 0, 0, 0, 0], [-370218967703, 791853569, 22916192, -113153746, 28515691, -3019886, -5848765, -2336160, 0, 0, 0, 0, 0, 0, 0, 0]], 'char_orbit_index': 2, 'field_poly': [1623834669236224, 0, 305638522445824, 0, 20221245756928, 0, 629108384896, 0, 10121979748, 0, 88203292, 0, 419701, 0, 1024, 0, 1], 'hecke_orbit_code': 4503668497842257, 'hecke_ring_character_values': [[2, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 24748126752115897794560, 3093515844014487224320, 9899250700846359117824, 24748126752115897794560, 49496253504231795589120, 12374063376057948897280, 83501732862595989504, 6058421969221673866086070616064, 5048684974351394888405058846720, 83501732862595989504, 30292109846108369330430353080320, 334099711153564620226560, 30292109846108369330430353080320, 30292109846108369330430353080320], 'hecke_ring_inverse_denominators': [1, 177147, 3, 177147, 9, 177147, 27, 177147, 81, 177147, 81, 177147, 81, 177147, 243, 177147], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 10850, 476, 4, 62, -33, -27, -26, 1], [-384, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -3536290, -201040, -575, -31039, 7959, 6453, 3922, -101], [235323, -852, 1, 8, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1324336535, 44615756, 30232, 10948835, -1954284, -1602774, -726014, 69514], [-165481192, 682738, -1528, -15202, -206, -1402, -86, -29, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -477292582570, -9284168548, 15875221, -3487518469, 516431721, 412743735, 145439524, -27108917], [124022951365, -555547234, 1784447, 19087316, 256900, 1491915, 151412, 44142, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 162516241907297, 1953406211708, -8620187120, 1071654353345, -142710481752, -109372233150, -30640114838, 8996587270], [-32351942692828, 153821726310, -621157268, -6855618242, -66055758, -481409782, -62299606, -15281869, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -53030181988772650, -425653728895132, 3141966474307, -324139187253391, 40544038861815, 29650652884593, 6750809798956, -2819717649515], [8720530036690859, -43335357263438, 203755437777, 2287313440548, 11886560580, 148886537917, 22266002740, 4527415742, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 16804475589383865671, 97003184357908628, -1012612976125052, 97245357108901163, -11725080376696980, -8189925697660950, -1554468943605290, 862090036459174], [-7230966633225361120, 37117015609737094, -193646752057184, -2197339542709514, -2642203831846, -135217317246954, -22225534276430, -3713925118737, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -5219250093169944560002, -23181702805706510644, 309485374369484653, -29038968895786888525, 3429286884098335929, 2297120412499709607, 373736806412308540, -260314539934423565]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [384, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3184032275120463151204343808, 0, 217571758939484045885249280, 0, 2577092138472125753391168, 0, -31046607770462708736996, 0, 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1827807609236486957238784, 0, 266060537124849590623616, 0, 12253559967105725828904, 0, 242024394746154772132, 0, 2361087168254638166, 0, 12013758303742623, 0, 30582399292090, 0, 30719884451], [0, 943472296728672240404031503920912384, 0, 104982495326877277113542995337798912, 0, 4301081934104193425974584921544224, 0, 82518271608547707470651259647164, 0, 814064968574475867139964500268, 0, 4257506304525844206024272139, 0, 11199434524704160281692200, 0, 11624807649009095292863], [0, 30007679361618968990444432384, 0, 4845882884983838126877304320, 0, 237887863459264761210392304, 0, 4851562030197088467842972, 0, 48128702841581003015712, 0, 247107186256660281303, 0, 631955223204357116, 0, 636078186037275], [0, -3925956532612184238311929637898151936, 0, -569442473136236948002484389654446848, 0, -27463866758114836490707560933433056, 0, -556846153951411788627547357020196, 0, -5525112062594395272381171335732, 0, -28462913218841551578830866701, 0, -73155658029485982863182360, 0, -74051097268330470330617], [0, -12952354789986531698252712285544732672, 0, -2186089269477592162187579526765970688, 0, -103805462650438486850004309386368032, 0, -2060923803775707650712522513710524, 0, -20141385925404283330558610453420, 0, -102694175558180478943196980683, 0, -262105100295719124127972264, 0, -264055155989373352710527]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 16, 'label': '81.9.b.b', 'level': 81, 'maxp': 997, 'weight': 9}
• mf_newspaces •

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

  
  {'Nk2': 6561, 'analytic_conductor': 32.9976674149513, 'char_conductor': 3, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [81, 2, [2], [1]], 'conrey_index': 80, 'cusp_dim': 66, 'dim': 30, 'eis_dim': 12, 'eis_new_dim': 4, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 68870471761, 'hecke_orbit_dims': [14, 16], 'label': '81.9.b', 'level': 81, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 78, 'mf_new_dim': 34, 'num_forms': 2, 'prim_orbit_index': 2, 'relative_dim': 30, 'sturm_bound': 81, 'trace_bound': 1, 'trace_display': [0, 0, 0, 1848], 'traces': [30, 0, 0, -3582, 0, 0, 1848, 0, 0, 10236, 0, 0, 60492, 0, 0, 225678, 0, 0, -84522, 0, 0, -814602, 0, 0, -672066, 0, 0, 78576, 0, 0, 899400, 0, 0, -282330, 0, 0, 2682600, 0, 0, -4200420, 0, 0, 3869454, 0, 0, -3044508, 0, 0, 24255834, 0, 0, -14279520, 0, 0, -6345096, 0, 0, -27210576, 0, 0, 41549196, 0, 0, -2560830, 0, 0, -45779118, 0, 0, -44552388, 0, 0, -57995346, 0, 0, 155239794, 0, 0, -85501392, 0, 0, 195898278, 0, 0, -33976728, 0, 0, 317064414, 0, 0, 172166292, 0, 0, -471345096, 0, 0, -387977010, 0, 0, -685271802, 0, 0, 527756592, 0, 0, -12202164, 0, 0, -114595788, 0, 0, 152003640, 0, 0, 750872148, 0, 0, 1099529130, 0, 0, -857429964, 0, 0, -666063120, 0, 0, -730865820, 0, 0, 1450722552, 0, 0, -306045012, 0, 0, 152277318, 0, 0, -69274410, 0, 0, 703975464, 0, 0, 1218062640, 0, 0, -1292357808, 0, 0, -1251406752, 0, 0, -3126393996, 0, 0, 788466900, 0, 0, 1177159104, 0, 0, 928204692, 0, 0, -2931241152, 0, 0, -504152526, 0, 0, 2793260778, 0, 0, -549248700, 0, 0, 847813356, 0, 0, 1794080544, 0, 0, 5793595404, 0, 0, 4939465302, 0, 0, -7352256216, 0, 0, 1336932642, 0, 0, -10107367338, 0, 0, -1763088780, 0, 0, -2264188080, 0, 0, 4980341004, 0, 0, 14913948972, 0, 0, -2859914688, 0, 0, 2771061354, 0, 0, -13385523168, 0, 0, -4724406168, 0, 0, -17910946788, 0, 0, 1613749584, 0, 0, 8128421616, 0, 0, 15856945968, 0, 0, 10325408520, 0, 0, 11758179960, 0, 0, 12793759698, 0, 0, -20169040044, 0, 0, -16900860612, 0, 0, -28850629260, 0, 0, 10710178608, 0, 0, -8973077850, 0, 0, 15502072020, 0, 0, 15186845316, 0, 0, 15157390032, 0, 0, 45289809438, 0, 0, -33703324068, 0, 0, -17186310354, 0, 0, -55923049176, 0, 0, 37760866212, 0, 0, -9194849124, 0, 0, -13303799844, 0, 0, 18931116396, 0, 0, 60394598046, 0, 0, 48084179172, 0, 0, -80730922812, 0, 0, -27172294236, 0, 0, -92629628238, 0, 0, 57083088966, 0, 0, -53295480768, 0, 0, 31035863802, 0, 0, -24643350264, 0, 0, 95526431880, 0, 0, 100568167224, 0, 0, -58084173408, 0, 0, -56141896818, 0, 0, -50098471584, 0, 0, 154572666528, 0, 0, -63341319426, 0, 0, 9267235560, 0, 0, -12700227600, 0, 0, 203702691552, 0, 0, 25978733904, 0, 0, -184183986114, 0, 0, -81543644820, 0, 0, -84623452560, 0, 0, 106059484584, 0, 0, -209474023188, 0, 0, -54735047628, 0, 0, 21759978516, 0, 0, 208110443232, 0, 0, 196717784592, 0, 0, -128923971366, 0, 0, -145125077520, 0, 0, -155847050832, 0, 0, 277241007714, 0, 0, -160792292628, 0, 0, 17783053596, 0, 0, -43322998296, 0, 0, 505568297502, 0, 0, 198859936176, 0, 0, -337907459796, 0, 0, -105802520298, 0, 0, -413000325480, 0, 0, 271517107512, 0, 0, -249848367882, 0, 0, 121706729904, 0, 0, 76415566212, 0, 0, 294203381148, 0, 0, 338567903664, 0, 0, -318291558114, 0, 0, -385504322976, 0, 0, -221115027984, 0, 0, 370656355176, 0, 0, -177867364284, 0, 0, 41232117936, 0, 0, 20395554870, 0, 0, 671058569958, 0, 0, 341754420774, 0, 0, -577675979436, 0, 0, -101638384116, 0, 0, -670161787614, 0, 0, 190037714292, 0, 0, -189931618182, 0, 0, 74231398314, 0, 0, 217114785840, 0, 0, 350271642264, 0, 0, 562138975356, 0, 0, -404884986708, 0, 0, -459127504980, 0, 0, -724275268344, 0, 0, 742597839120, 0, 0, -249211485294, 0, 0, 397816461774, 0, 0, 314745737304, 0, 0, 332287448364, 0, 0, 383235795960, 0, 0, -1241458460898, 0, 0, -302262419640, 0, 0, -954286085616, 0, 0, 448496933208, 0, 0, -56135053452, 0, 0, 264395323638, 0, 0, 568794471708, 0, 0, 653814270396, 0, 0, 1035313880256, 0, 0, -434321584968, 0, 0, -8442871974, 0, 0, -891823689294, 0, 0, 202049906730, 0, 0, -179090245368, 0, 0, 204931977954, 0, 0, -64430601156, 0, 0, 618537245856, 0, 0, 743748943884, 0, 0, -983136605904, 0, 0, -550887486234, 0, 0, -1475153927796, 0, 0, 657690346014, 0, 0, -716795761416, 0, 0, 257276958912, 0, 0, 500574095004, 0, 0, 211096882968, 0, 0, 543623163540, 0, 0, -953316561564, 0, 0, -699827432268, 0, 0, -27529646730, 0, 0, 582431996976, 0, 0, 171281457804, 0, 0, -206845861260, 0, 0, 211109040132, 0, 0, 1833956306340, 0, 0, 370454349270, 0, 0, -115814085180, 0, 0, 173668651158, 0, 0, -305179232844, 0, 0, 117508114788, 0, 0, -156764324640, 0, 0, -155904063972, 0, 0, -469811577804, 0, 0, 538404410010, 0, 0, 411422572206, 0, 0, 318529741206, 0, 0, -1154561401692, 0, 0, -787474050780, 0, 0, 1107349101984, 0, 0, -1444894067184, 0, 0, 1015380782688, 0, 0, -419921137212, 0, 0, -68682742752, 0, 0, -1160831648796, 0, 0, -1384794422058, 0, 0, -188337103668, 0, 0, 1353089815968, 0, 0, -116012212224, 0, 0, -459846341430, 0, 0, -541988566872, 0, 0, 765747487686, 0, 0, 1488436301034, 0, 0, 40869438660, 0, 0, 644808711504, 0, 0, 932129043054, 0, 0, 185371300236, 0, 0, -148927595076, 0, 0, 283026434244, 0, 0, -1702572896808, 0, 0, -2291148361728, 0, 0, 77440435128, 0, 0, 1297346949876, 0, 0, 955266983880, 0, 0, 474819935988, 0, 0, 1332496402236, 0, 0, 1613230041318, 0, 0, -941899550472, 0, 0, 1219520562216, 0, 0, -913384848654, 0, 0, -2070889543608, 0, 0, -3444470117556, 0, 0, 1139387780076, 0, 0, 28059383496, 0, 0, 2227828924572, 0, 0, -1903899538896, 0, 0, 212473402788, 0, 0, -3618880240602, 0, 0, 753259252056, 0, 0, -124016483712, 0, 0, -262892114316, 0, 0, 3717287675034, 0, 0, 3386991399456, 0, 0, 3380716528980, 0, 0, -3109288210992, 0, 0, 4352016144996, 0, 0, -250815624408, 0, 0, -2945974663158, 0, 0, -2691704237856, 0, 0, -1323237840792, 0, 0, 3091940288178, 0, 0, -1402348592544, 0, 0, -457480534962, 0, 0, -709719839328, 0, 0, -2253390039924, 0, 0, 2791023148644, 0, 0, -233836662252, 0, 0, -7877838063048, 0, 0, -3809850623580, 0, 0, 61296287592, 0, 0, 854697609198, 0, 0, 6668167989768, 0, 0, -4208411263116, 0, 0, 5038763750154, 0, 0, -2361471227808, 0, 0, 4046872603770, 0, 0, -2031077807790, 0, 0, -2293127789220, 0, 0, 5182818924000, 0, 0, 6327594445632, 0, 0, -777320544996, 0, 0, -5524767441048, 0, 0, 5441073246732, 0, 0, -709047177360, 0, 0, -1854388938558, 0, 0, -5597536906506, 0, 0, 346415086896, 0, 0, 5265291294420, 0, 0, 1579243622760, 0, 0, 4014021382398, 0, 0, -1690661607768, 0, 0, 1139335065240, 0, 0, 4994634214938, 0, 0, 2905458644244, 0, 0, -9442117739136, 0, 0, -12553866748524, 0, 0, 704133782412, 0, 0, -431943345444, 0, 0, 5500213906500, 0, 0, -8779243566492, 0, 0, 2122283015994, 0, 0, -4369630922190, 0, 0, 2233215027564, 0, 0, -6455409337464, 0, 0, 265633500624, 0, 0, 7959835796070, 0, 0, 8951605454220, 0, 0, 6165732767472, 0, 0, -9482438842116, 0, 0, 12538080999456, 0, 0, 286394414658, 0, 0, -7397321301606, 0, 0, -6107785926432, 0, 0, -6271459732596, 0, 0, 10968882949692, 0, 0, -500107438896, 0, 0, -1793846136852, 0, 0, 630359972850, 0, 0, -1502129784816, 0, 0, 5395198107900, 0, 0, -171567395724, 0, 0, -14195460780072, 0, 0, -9751168137516, 0, 0, 1281181718100], 'weight': 9, '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: 72499
    {'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '81.9.b.b', 'source_level': 81, 'target_char_orbit': 2, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '81.9.b.b', 'target_level': 81, 'twist_class_label': '81.9.b.b', 'twist_class_level': 81, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 9}
  • id: 72500
    {'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '81.9.b.b', 'source_level': 81, 'target_char_orbit': 2, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '81.9.b.b', 'target_level': 81, 'twist_class_label': '81.9.b.b', 'twist_class_level': 81, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 9}
  • id: 72501
    {'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '81.9.b.b', 'source_level': 81, 'target_char_orbit': 4, 'target_dim': 32, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '81.9.d.g', 'target_level': 81, 'twist_class_label': '81.9.b.b', 'twist_class_level': 81, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 9}
  • id: 72502
    {'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '81.9.b.b', 'source_level': 81, 'target_char_orbit': 4, 'target_dim': 32, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '81.9.d.g', 'target_level': 81, 'twist_class_label': '81.9.b.b', 'twist_class_level': 81, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 9}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 255475
    {'charpoly_factorization': [[[10653979264858865664, 0, 668431448589017088, 0, 14741288156800512, 0, 152873337529728, 0, 819880359588, 0, 2381488884, 0, 3777309, 0, 3072, 0, 1], 1]], 'hecke_orbit_code': 4503668497842257, 'p': 2}
  • id: 255476
    {'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 4503668497842257, 'p': 3}
  • id: 255477
    {'charpoly_factorization': [[[1594789381821848772462900171397825812890625, 0, 156538637049532990144940514219026250000, 0, 5663181083770848553861369854982500, 0, 92083806502773834352928382000, 0, 676138450337013876864966, 0, 2406443285261202480, 0, 4221635326308, 0, 3395856, 0, 1], 1]], 'hecke_orbit_code': 4503668497842257, 'p': 5}
  • id: 255478
    {'charpoly_factorization': [[[78237407727092825347157056, -19137722360614367259232, -255520525052199588776, -38221731723433048, 168909165420100, 27063874712, -25005986, -1846, 1], 2]], 'hecke_orbit_code': 4503668497842257, 'p': 7}
  • id: 255479
    {'charpoly_factorization': [[[112834360652863828818815243571315002634048786863794030097753739264, 0, 28211821413259332897213002098832152340788994899852276177920, 0, 1916904039414726624468075466548120330455419258277952, 0, 32271165698427759782825726259205434224434752, 0, 245350843597152245949700551249840624, 0, 983521226404619639662605984, 0, 2133865435456811196, 0, 2339036868, 0, 1], 1]], 'hecke_orbit_code': 4503668497842257, 'p': 11}
  • id: 255480
    {'charpoly_factorization': [[[40491059844723400450468868781992593, -424649776332421663592049183202, -1097423708083313928975285200, -31911458165091855254134, 3038521276546009294, 67362221578322, -3012510416, -31930, 1], 2]], 'hecke_orbit_code': 4503668497842257, 'p': 13}
  • id: 255481
    {'charpoly_factorization': [[[103624424400776178552652728500401249509795775918950029794824571547546280969, 0, 1438517952276848498052328178685428251734575463605047924841494333224, 0, 4490341729703828024893387839447042321108434789656464014748, 0, 6276557968535773747011533261640435645251504821272, 0, 4629799503982426705311716584570503574686, 0, 1860586457823451143844024936248, 0, 386260870187107544076, 0, 35093173320, 0, 1], 1]], 'hecke_orbit_code': 4503668497842257, 'p': 17}
  • id: 255482
    {'charpoly_factorization': [[[244185849387649551270725570665870019392, -90050638257840573280035538615025440, -6211378637900217725644809783944, -1918756919011488147123688, 1428129390664653473092, 3779267212759016, -71477717306, -92554, 1], 2]], 'hecke_orbit_code': 4503668497842257, 'p': 19}
  • id: 255483
    {'charpoly_factorization': [[[30720312279905012771684212468816878787645546995859920807933705163156430614048994267136, 0, 20143325454277393860630887401190376127552266343928465036195873554229695896576, 0, 2653694527733465026375940813141887073262031125273110791206080322624, 0, 143391903059393186822072593258415808164698420765491045312, 0, 3687095280277946174606760816522457874043366384, 0, 46106006998304849127344109053966304, 0, 288795467388133119957372, 0, 869353606812, 0, 1], 1]], 'hecke_orbit_code': 4503668497842257, 'p': 23}
  • id: 255484
    {'charpoly_factorization': [[[1166178634775844888271660291505994948870095789581892345652986218374036904465503116844625209, 0, 5446056149944463030758255332950200065475209491040160470425764166658559368707539224, 0, 133552885281340102481804458150424294043683006925412137891550793531571948, 0, 1157734797456265617324468887915004111403846878235848532180008, 0, 4504339951905313077019590299577571036030760729262, 0, 8967268549120865993840844752245996680, 0, 9445446452715606024185340, 0, 4954350088056, 0, 1], 1]], 'hecke_orbit_code': 4503668497842257, 'p': 29}
  • id: 255485
    {'charpoly_factorization': [[[-149782859533400123867179164434856000917575430144, -1189495656278005118899120134964083825667072, -2248855203298058946757008780153479360, 1350827042343259484104675117568, 5146402874277202778002864, 17422299999002432, -3854566368068, -285568, 1], 2]], 'hecke_orbit_code': 4503668497842257, 'p': 31}
  • id: 255486
    {'charpoly_factorization': [[[-11942956223381152448758519303433577028413918195263, 56589634847982828098747757502067680575180722, -11663570137018565307451921805984151860, -71446947117967627417213607041066, 28457374060319789324988886, 24599055490183667126, -11047706565044, -2177134, 1], 2]], 'hecke_orbit_code': 4503668497842257, 'p': 37}
  • id: 255487
    {'charpoly_factorization': [[[255947786334707300348682395043444297295652108926912305165197386008457913418624986376364006438645729536, 0, 1583651895137640248473303069602129583602280254023159212958203037719832605690752910289140224, 0, 2662740888707376302367549712746601015597178361366905531162477234416932227328768, 0, 1299584274559016640769439725764068444795990452002345636383528483712, 0, 292207479022614086174773327406404629562341274341443808, 0, 34860972427720919541304606596005598948192, 0, 2270447854698016301058191088, 0, 75720272192904, 0, 1], 1]], 'hecke_orbit_code': 4503668497842257, 'p': 41}
  • id: 255488
    {'charpoly_factorization': [[[2456380022578706675260412797705282254753633685356352, 270471279625111372143283717159411382417890976, -4067645257790246191807972425897168278408, -682523225839771302860145624428152, 746039176816849258548315652, 87913549743282815096, -48043076068826, -2726542, 1], 2]], 'hecke_orbit_code': 4503668497842257, 'p': 43}
  • id: 255489
    {'charpoly_factorization': [[[3519402944350056926766178694823564010004366169467011793579510246178356975870359285058289511504547640508416, 0, 25931963078990986692154549541226488136547574903714176895141334572871479365804650023853577469952, 0, 7305907123099932814034982752530287168278208460709940292180611559652277438067150848, 0, 819870488806484893079364073558210283154625809095956621890218900803584, 0, 47217001183046802840087422934366078680907985806199751424, 0, 1517091239674997726791175765853987538423296, 0, 27395779766152123280236585392, 0, 259370691961296, 0, 1], 1]], 'hecke_orbit_code': 4503668497842257, 'p': 47}
  • id: 255490
    {'charpoly_factorization': [[[1202473435529913733318728720174714273411922510837422002146297663850090978933065157867113864923878351670745344, 0, 5135018685744334899555561997606975877072289678611321525991077195619092558717848965679849566441984, 0, 1158753193839149569281674289011867674068289169684150767645086175029863015669476642560, 0, 72882930648756440883022965327045229996376056886065880726410981498257792, 0, 1946133196112553206703376973660732436305825756943220683744, 0, 26214566166474480467285742466685194705636320, 0, 187869029208652055254588425648, 0, 684837866385576, 0, 1], 1]], 'hecke_orbit_code': 4503668497842257, 'p': 53}
  • id: 255491
    {'charpoly_factorization': [[[46582937383409890614811050413110614022807812110572377371662678258967139093421825600463634918820265846592890732544, 0, 10487989484319775947445037033368812387225144958058864194704865585698122412420940013306391897474072576, 0, 534387783078840373026738989713128996187004868700589141363467815811825593690237717712896, 0, 9739933464277330173360624263480921193609893848080561167218504557596061696, 0, 87353280752435154179314793212445638757139578183794039456512, 0, 430517514996959699859740792405056675146521088, 0, 1185943207984504630176509945136, 0, 1708184503168176, 0, 1], 1]], 'hecke_orbit_code': 4503668497842257, 'p': 59}
  • id: 255492
    {'charpoly_factorization': [[[11650279422651740028498126223644930364718401333046522677, -831618717070437462165200213731890642220823823790, -3130483766462759547264970493075153444373152, -288007921495324454282052099623121490, 76415558422738590529932716386, 4443345081018891976646, -543839563993544, -15518998, 1], 2]], 'hecke_orbit_code': 4503668497842257, 'p': 61}
  • id: 255493
    {'charpoly_factorization': [[[3324429435981755959868197758996060930359086910602082368, -5591466300816155577021787411823818445011632068128, 41969941826770482623536757114698535493784, 839084707244301865865082046200900536, 71982743203667071006598180740, -11570901246331754785144, -471144829477298, 31178414, 1], 2]], 'hecke_orbit_code': 4503668497842257, 'p': 67}
  • id: 255494
    {'charpoly_factorization': [[[19949871413090818060026485718499428204611910625933811044884088873918466836853237875785999845586870570950332416, 0, 1255503105640192659984837986803222557748848122785721199808395980278485309367514147884962408098878464, 0, 7511385330414253842439274520264289102959152754359883846004398262637703722058497985440832, 0, 143785371656487607270428063098321170662156770514179307092705646021450463680, 0, 981534737178345679903660332380259402326478605971863766045680, 0, 3089621457181348265789502811358111927875859040, 0, 4820144800209348855346708579452, 0, 3587134206140604, 0, 1], 1]], 'hecke_orbit_code': 4503668497842257, 'p': 71}
  • id: 255495
    {'charpoly_factorization': [[[-973375589235943393552892313669403052095088320518184117799, -578566599072678816627975800077378030762033853613280, 65347343276398406614213351181537395223219788, 19187351669044128467733791093489455712, 446143986440431665072392504974, -59840262188882813680288, -2473343356565732, 10636832, 1], 2]], 'hecke_orbit_code': 4503668497842257, 'p': 73}
  • id: 255496
    {'charpoly_factorization': [[[-1229299906213826171331846043873233343232433111655416201704384, -35677925630928646162096042730654005012835276379697120, 7284871590774913157795449265471806983487257208, 332330137209219243490976572632569969048, -4344215927858067087428210291900, -394011961487746507451464, -3408902736530714, 75522518, 1], 2]], 'hecke_orbit_code': 4503668497842257, 'p': 79}
  • id: 255497
    {'charpoly_factorization': [[[28973693540422580279201805536033733362008096973277899734956949701555157249245730366948509674853687736268564467384766693376, 0, 208509155383603997987435884432007674143445627767139841781637054825229598841787560290733043397172852540047360, 0, 608121823493015908004806462672136291589370557764039721196773618672465438999181356186173964288, 0, 931757929025204571635572222422938013065287193675243168272655245333874492768256, 0, 814457950822804206298058483506015358946055731664819156895969280, 0, 412332129661656895474644860382889512081394378752, 0, 117216600368180170864492661452992, 0, 17165561585953008, 0, 1], 1]], 'hecke_orbit_code': 4503668497842257, 'p': 83}
  • id: 255498
    {'charpoly_factorization': [[[62107553722049544077883872061234618522228448530152348665995248409379558724474372301994440207661891874836583684112907407681, 0, 1637037318762944200280768616874187170656559433809741221487197514510255755641790338876062085363446740215366400, 0, 7230473817689400972430170420721165095929024389799673414827807430648144813976046224804389837924, 0, 10884346903992038789320193353785391226962734065716241795181344672906186655570432, 0, 7165885628363601986690224055545093260009228739757179041640982022, 0, 2330473130304554388777697662164731293942447666432, 0, 389469562969266102378155325345252, 0, 31824069407313408, 0, 1], 1]], 'hecke_orbit_code': 4503668497842257, 'p': 89}
  • id: 255499
    {'charpoly_factorization': [[[-1706582204895810111639968180475750765236893566489779653882179584, -65846429630739607433849270579998550312503963760019119104, 155531413644583091283907449298263023424137512768, 30187422785964564112473372550168932200192, 226937350816088536494482067912112, -2925976057441526065613632, -31506363508831172, 66939344, 1], 2]], 'hecke_orbit_code': 4503668497842257, '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': 2, 'hecke_orbit': 2, 'label': '81.9.b.b', 'level': 81, 'portrait': 'data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAAC4CAYAAABQMybHAAAABGdBTUEAALGPC/xhBQAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAAABmJLR0QA/wD/AP+gvaeTAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAAB3RJTUUH5AsHEiUugIFQqgAAABBjYU52AAAA1wAAANcAAAAQAAAADnCbpecAAIAASURBVHja7L13vCTXfd35vaGqOr48OQ8Gg5wjCRAkmEWKIiQG5WCJkr2WnLS7liUHyWkVVrZsy5ZtRVKBlMQgUhRBggRJEInIaTDA5Jxefq9zpXv3j1tVXf1mKGm1tCnK2x8WuvvNcF531alzz+/8whX8/4+v2+Njn34EKcWGfYdOjdvU2s3THr4nefZ4h3uunxJ3Xt1YfPi5lM3TS9O3XHXWvnhoCxVfsmG6R6OeCiMvXwU7O735dQCbgBWgL4T4Rn+1b9qH/kZ/gG+Wx5ETFwB2GZNusAjT60d8/BN/wuWbz7Fz0xIV5XPszCfiZXvzz/W7y9+qhY3PXvDZMCWIewM6q4l/9uzCb50+KxDp4EdOj3Wj87MLbJqGU4OIsUbqDZITf/afPnTg514580nxH/7lB35x9uzxj1aSF5/trh5UlgCEkEp6s8DxamPzN/qUfFM8/n9q+BqPV4/MY0VlwjPH7+kuv4SWMj67PP6POgP5FiksUZzw3HMv0KiusGdzi5WO4vRcFUxIEidMNi0HT/tcsyvl/LxkciyhWQ84el6TmpiZhuDcYsy1uw2HT0umxgy+71OpaI7PS1a6sHd9wuXbJ7niquuxeGgFvUh/4cDxwa+k1nj33n0Ne3ZueRgbrgi5/ht9yv5aPv5/gGeP1ZUFLLytXg8vO368Y/7lr/6x+b63je3qhOv/Sbd9lHrF58TpC7Tbi0SxZrknSa1PxbM0A8tcO+Hw+QGbpyqMVxVKxMyM+Vy+TdEbgJAhZ+c1gwjOLQoUPv0w5rJtlg2TXSSSei1i47oOB09OsbRSpV5JCXRMb2BodRVRkjAxOUO9sRmlQ665fBcvHFz8hTv3Xji+7fIfkJGYkJtm1FHggbGx6W/0Kf1r8fhfHuCHXnkYKcU9C0vxW/cdXXrvVTsWrgi7Hr/1J4e489oVFuY9Ti302DKtqAUwM244uxygpEUKw6aJlFNzFeo1y7NHQ3qhoOLD4irsmtHUqgEbZhLuubbNK8fHePaA4NVTCa+5JmXztKFeF2zbsMLCiqISQD+0PH9wmkZVcmzOZ+PkACnAVykXlhRj9QRJyub1MQuLDfrW8IYb6pxavpqgbnjdDWMHLyyv+1g/kp8Xgoff+bbXf6NP8Tf08b8cwFdXV6lUgskLswv/12ceeMDv9A+mt1xeu7m1Wr/lI5+dY8O6k7zxhjpffGacfrrKW27RPPpihd1b+3T7HueXFWEsCHTCVVtT1k+GLHUkLx4bI04El28eMNdRXLe7z+ETHu2BJgrhtqu6HDpTo1mNOHBWc8deSRSHtAeaF09KbtyR0up4XLYlIool+44LFjsVNk7AFds6+FoSxXBh2aMTJuzZ5PGVFy1vvKVL2B/ns0/2eP0tq9ywextPH97E6qD/7K5NreduuupKdcNNb4/qjZmfSZJwuTk29o2+BP9TH3/jAX7kxEk8T4tPfeFxbtwh1bqpxq91e/29rxw8e/cz+86rkwuLfOtrW2xsNPjiM3VeONHnx9+zTLu1gQeeNmzb0mNDo8rccsKmdfDSUUVsQaDYMply894Oyx1Bd1Dh1eOaa3a38XyfTk8iheCKrYaXjhgW2lV6cYcbdkd0+2MstwUvHpbs3Z5ghGC1Z6gGlut3SPYf1/SjmJW24ubLLRumYpRISFKP54/5bF1nmV9UTE+22bG+zhee8mhFK/z4fYrn9o/z2acGbN/e5T2v07Q6m+klm9KJme2P+n7lEKb1d3dtWkx3XPFepDdusYbJ5t9cr+Fv5Dez9hCgZL/br/z+r/2d8N73/uf/I03T7//sw6/Eb73l9JVVr1IZtDxEKpibk7xwxPL9b+5y7WUNzi9VePDZgO+4e5Ubdk/xpRd8LtvaY8N4g5PnE267IuLgGZ/xegxI9p+ssWnSsLSiefyVlMePwHXbLVdtlSx3BI++Krn3mpjxumKl0+DMBc1q26K8iB94+wqnZpusdgQ37R1w3WULeEwwuzjDmQW4aoehH0lOzAZM1DQHzkr2boVOR7J3+yI7N1X40jM+J5f6vOcew9ziBAdOQitKue6ykIlqhQNH+uw/dkCdWz3x+snJ+I7vemP9NpNus0kS+5jw3/+Lf//hDz320nlr09TcfdPWb/Sl+7o//kYxeGIsSiBXVwfj3d6LdyphfmP/y8eTV149NvXES8vNl0/ETE4v8TPfOYB0Ey8crvHS4ZjDs33e+poWd11Z56VD4zy8L2J8qsu3v1by8sEGj+7vc+XuhC2TVbB9hBZ4UnP0gmZdM6UVWhqVkFPzKa+cSWmoCd5ya5eV1QZPvWq5Zqdgz7aUNBGcXvBIU8OeLYKrd8U89YpgudvjzbdIqvXzHDrZ4OSFCWqBoNPzmB5LOHbBx9chSiqs0WzdsMzV2xWPvDDBs8dj3n1Pi/X1cR55vsILJ3rcccMK77jV5+ipGV48ZHjpWExfdvnp71lk8/gUB041WQq3sWnz7pXx6e0dz5M/dtdNVzzhV+qrYIwQ6ht9Kb9uj78xDG7tPCad3fH8vnNbEis/dnD/k2OvHD1SX1+3zC7WaPiWjU3LSyfGefzAgPvuXGVby6Pd1bT7AR/7Up2pRpvrLtcMojqP7bd88vEe77m7RaXS4PkjHpumukw1fc7Madr9lF6vT329R2w0k3XFpgnJ667p88KRBC0FgZ8Q1BKePa6oNzy2TEeECWyeghv3LtDqacJkgthoXj4peenwdgJVIfBT9HhIP4SxZp+dQLvrc2Y+ZWq8x8xYg88/5fPy6Yj7Xt9ly3iTx1+qsO/EgKt2r/Ddb0g5fHKCY2cFZ+cTLrRS3vn6NtfuCDhwvMHSasDS6nleefXoxFWXi4lqbe9H92wSrU6P97aSXWef2rd68vbrxr/Rl/Tr8vimB7i1FmDvg198dNPGTel/P33i2J7f+viz6jvuWWbPBo/pZoOqDwJNb2DYOYAPfX6SjVNL3Hm5pjeYJow9+lGNp16NiOIVrrscAr/G0wcVn3ikxTU7Vrn7ujpHzjRZWB1Q9RNmJgyXb1ZcWFIstyTtTkqjGhL4HltmIk7MemjZ577Xap475HHl9lXGx9vc/3yNdj9geqzO84d9rtrVYWrM4+S8YPOMR6USM1FJ8bRESsGzByYZq/eo+iGXbVX4sspj+yy12irveT00vHG+/IzPwbN9rrtimRt3w5nzGzhw3OPk+ZhXzlpuuXaFH3pzzNm5jVxYqrDUEpy6YJlvSTpRnyh9vr6xsb++ktz18M7LOkem6vJvW2vPA4e+2bOo37QAX1hYpuJ7ez75+eev3zDZ+gdLCyfu+eBHX6QWdFhcCfjKPsP//r4WUeQRJz69gU8YefRDS/d8lfufqvOaq5e4ca8CJrDW48WjE3zwUJf33NvmzitjpsfrPHtggi88NWDj9IArtgvWjWmOnffoDWK6PWh1BVpbNk+noCRSRvR7kgsrFTBV1o1FXLa5x+P7AkISvv2umDSqcfSsZGZCs3lKYEzCwoqmPQjpxz6drs/W6ZCp5gClJFoL4lhz7CzMTPS447qETROaw6fGeOwgnF/ucMt1Hb7r9Slnzm/ghUMBh04lvHA8JRYd3nnbgEF/mrNzNeaWJIvLMavtmBOzmu4Fn//zu+Zp1iY4dOAhNe49d8V5bn0oZfDwNbsb/7G1Gr4kCI80x7853ZdvSrEV9U7RGPN2nDlx6N8/+dwrP/vAVx7cIcLTzM0JXjimWW5L9p9WbFm/wmuuionjgDjVGKuwVqAxnJ71Oblo2LGxzYYJqAUVKp5GoXnxmGJ2dUCzGXH1TsPeLQGdboWzCwJfx8RWcX7F4/yCoR0JtNasH0+YWzGcvOAz0ZAINOsmY5Y7lmt3DJCyxoWlGpdvDjh8KuDMouWqHSFzy5I48ehHir1bY4SwdHqS9eMJM5Mh6yYjPAmtniII4PItgpWVBl96rsqR8wMmJ1u84eY+d+wNOHZ6HS8e8nnleMLxhYjGeIsffluXq7ePcerCOKdnPc4vpMwuxZxeEhxZsLzr7jl++G0xFV1h07THiTMBjz13jEC+siMcVL/z9CzbZTD+xI/97Z9Y/a//5Ve+0Zf+//Xjm2r9OXf2FI16ZebVw+f+wcNPPHHtVdsW7jv46jmePqzZudEjHMDpCyEXVuDUqmBqepWffv8St19e58T5KU7P1jg7rzg/n3J6Nub4gkHXurzn7i7vvM3n9OwUB04EHD1rOHA6JpUDtq6LeM21hu3rJKdn65yZkyy3DYPEICVMNGBmLGG5rWl3FRPNCC00E82UShDz1IGAXRsMMxMJFxareMpwbsmwbsKya2PEkwcCfF8x1QClYqbrsNIVLHUF65qGyWaMlBBGiuW25tSc5vRCwvYNA+68NmHLjIa0xsETNY6dtbx6KuXUUsjbXrvCd9wdUlUTnLwwwcnzmvPzKecXY04vWA4vWG69eoGfel+b9eMTXFgYY3axyvHzHv0wZMv6iCf2SdZv2cxb75j85I6dr3nZq236jyYdLOzcueMbDYW/9OObhsGXT3+EZnC2ubxw6L8+99yrf+fRZ45dNQiPcsOegEA1SFOFMWCsRWCRFk7OVnj2qGDPlhZXbTeAByik1GglCZRlftHj4FnFwPS5Ynub3ZsNMxOaDRM+vghYagWcmRWcuCDYdxJOXohYWAlpdVIGsUfF95lpWDavixEipR9qdmyI8ZQlNoI49VlqS/qhh68Fwhpmxg3TYynL7YB2XzBIPFZ6gg1jhqWW4fScouL5bJiELTMR66cGrJsK2TAVsmW9ZdsGxZVbPaqqzonTTZ7c7/P84YR9p2JS1eEdd7W47zWWqpri8KlxTpzXnJtPmc3AfXTRcsvVC/zz711h6/QY5+fHmV+usrDq0e5Jwkhy5oLi+IWYdeOnGA/CK596cfnupw6u7HjhWOvz937Ld0YP3f+RbzQk/lKPv9YMbu0yL77isX4m/fnZ88de819++9Ny47rZ17z+6q5+6fAYG2ZW2LHR4/z8BLNLmpUOLLdSllsxS6sps6twbEkwM73Kv/z+JW69vMaZuUnOz9c5v6iZW7LMLiacXUiZ7ySMTw547bVdbr8CfFklUAFzyxUuLGpmlwW9EJLEUPEN9UrKxFiCAU7NJrS7sH29R70aYq0A4dPtG7ZtCFla1WCdFFntQpiAxbLciti8zqPTVwhlESakWfHYtnHAak9w6rwmNZqppqRREQQeJImgF0pmlyUXlixzKwlBMAAv4Y6rurzmasFMs8rSSpMzcwHnF2FuMWFuOeHcMhxbstx81SL/6vtX2DDe5PTsJLNLVRZWfBZbkuXVlFYnYX4l5dxKwrZNKesbAU8fjPjB+0iu3rb5yYnNb3n5pUNnf/zNb3qHTdPUbN/Y/EZD5Ws+/toGmf/qP30KISZpd2f/7asvfuUf7d/3amCjFk+8NOC116zyjrsSwlgTJzBWj4gS93WsVThjBYRIEcJyfGmCf/kHgn/7w3PcuDOiUZ2kXm3QrAU0ah7jTcXckmJ2RfOlJyp89vGEPVt7XLErYXmlz5VbQ77rrYY4UQgsf/ZkhflWhWoacvKCotttcN1lKfPthAOHPC7fKjlyHu7YC60OREYT6IjpOhw+V6VWjQlUwlhDsNqB267scOxswOXbDSfOh7xyzP173tYBx+YsY42Q5XbEZ75UwwpFmqbcc0OPO2+0zK563Lh7wO5NHkncpNevcuB4hdlFwcJKyvxKwtyy4fSyYK4bccPlS/yL7+ky05zg1IVx5pYccy+1JKutlFYnZqWT0u4bwkiy/5jmmdiyc3OXbRNGHz7euuvgw3968+4rrr7XpN2Pb9u47mdmj36YDZd9zzcaMpd8/LVk8Ie//Ble94Zd6hd+9eV/ceL8qX/65uueVevrFR5/aZL7n4pJ/RY/9wNz3Lg7YHG1wXKrxnKrwnLLY7ntmHyllbLSTljuJCy24MyKQFcH3Hn1Mu9/XcTOdXVWu023NC/7LLYEyy0nEVY6hnbf0A4tvUHCVDNm23oDCALPcnbeQ8iA7esUOzdZNq3rMbcS8tKRBjftsdSqK+w/OkmjHhFFHlMThv4Artw24MMPjbN3a0IYWqbHJHHap1EJeOXkgKpX54bLE/Ydj5hb8tk8FbBzI2zbEKFUzNlF8D2LEJbt6xMmGpJOP6Db82j3PJbbiuVVWGoZllspi62U2RYsDVK2be7y/nsWufMKTcVrcmGxyeJKhcVVzXJbsNIyrGbgXu1Ylrow35XMdyw37V3kX3xfF5Fu4v7H6jz2cpft22J+6gd2pNXazn/7k//5zn/1gW99NX3fe9/9jYbORY+/VgB/ad8rIBtVmezf1lk++b4XX1n9N3/2lTMkqseNl3fQqsn9j9U4Mm/Zs3WeX/6xea7bVWVhZYKl1Ror7QrLbY+VtmalDa2OYbWTsNJJWG5b5lqC810Lost9d7V4+62GXRsrRFGNlVaF1a5Pq6NY6Qo6PcEgtESJJU1BSUvgQTWwjDct6yZjtDfg2IWIl48GmKTOW2+L0N4qzx0YY8dG+NzTCXddEzDf6lPRiiSNmZyAJPbQXsLSUo3X3tjmc0802LkRnj0S4lHjLbcaEtHn5WMpJ85W0NJn/YRmoi6oBgLfFygBiYEotgwi6PQsq11Dp2dY7RmWupZ+mrJ9S4+3397ivtdEYBosrY4xv1xlKSeDFqx2UlrdhNVOymrXstyD2bZivp1y0945fuFHl9i9YZyT5yf508dTgkqX63cGhP1xTi1tJZGT/+zu1+z96K3XXXa61e71N2+98hsNpeLx1wbgTz1/gE0bNvgvvnzgh86ff+HXJtQTQqZN+cyrFfYdizm9GCO0JRxoOrHgbCvllsvm+MUPLHHjZRUWV8dZWq2z0g5Y7fisdDSrHUGrY2l1U1Y7Ca2uYaVrme8ILrQME+M93nRzhzuuSNi+XtGserQ7FQJPAoookRgjMBZ6A0AYJhoDjpyzGBvx4LN1wl6Vyzb73Hltj9is8sjz49ywx+PIbJfWSpPbr+3xpecC1k9aDpyy/Pi72xw4GbB+UvLF5xV3XqlY7rU5fmaSGy6PeOTlPklY446rfHZvHdBPunzhOQWp4NhZTbOm0QJ6fYmxgtRY4gSQBu0bWl1LvRGzdWPIa67s8aabEqbqFeaWx1harbLSdudmpS1odaHVSWh1E1rdlFbPstyTzHYEi52E2/Yu8G8+sMC1O6rMr0wQhh69MEEpzZkLE7x42OPpVwdMTg/Mj7zvJnvNlTf83XUbrvtgu3U+Gpu64hsNKeCvCcCXW5Ec9Pvv/NIXH7jswmLvl37rTx7yrt494G+9tcKZCzPsO2w4O+885TCGbiRY6EvOt1LuuHKOn//AAjft9lltj7Gw0qDVrbDa8VntalodRasHna6l3Utod1O6fUOrZ1noCha6EKch1+3ps2EypduzvO32kB0bDEkq0dISxfDwSxVOz1fYOJGw/1gFTI0rtihu3GsIKj2eO9JjYbHO1TvqNMdXeGKfxy17Kiz1VllZabJhg+XpA4rveUOXZw5otqzzWOy2WFme5MYrezyxP2WyOs7Vl3WZb7V4+tVxqrrOzXstl28bgOzy0gnBusmYuYWYR17yGMQKKSE1lh0bI950e0Snq9g0YbhxD0RRLZNvAatdj3ZP0epK2l1o91La3ZROL6XdM6z2LMt9ybm2oNUPufPyBf71j6xw0x53c7S71SxZplhqBZye1bx0JOH0cofve/ssV21TiOq3xSudxj9+/RvfdDQIqp8RomK+0dj6hgeZFxa7dPv973/mucd/pbNyaPLM8RW2TY5x9JTP556KuXpbyljDox+mKJnSGVg8bV3DgVQ8c3g9P/1bmnffucx3vmGZnZsjZpeaBH6VauBTCzzqVU2nKmn0Pcbqmt4gpdtPWR8a+qGlMwhYXqhw9owlSgznZhOCwAICX1m0FPT6CoFH0tNcv0Owe5Nl2+YeYdrhgWcUB49O8OabAm68coXffcDiixo7NvfY94Ri87hiutmjoqpEscd8B+oVzZb1ghcPRtx4eZXX3bDIh+7v43sN3nibxQt6fPnpiM89VefVE1V2baqxY2PKzETEzumYa3akKGXQygKWWhAwMx4QxR6dns/+Ix7dgabXV3QHkm4fugNLt+e+e6ef0u1b2n3Lah8Weoq5FUttrMVPvHWBb7sz5NpddS4sNml1K3R6Ad2BptPzWGkrVjsCKVPefkefq7c1mV2c4pXj+73YNn9l105v+bIr7v5H1rY+JMQ3NgP6DQX40uoAIcSP/PYnHv55r/vRyZu2CZJwEl/7nLwgmZs3NAONEIJqRWGMRUqDlg7gSqb4UrLvyAwvHK5z5Pw8735Nl9dcNWC80WS5VaPertDs+3R7mk52sfsDTS/UDELLIDJEsSWOLUnqjijxsQakEnhaUPEF4w3BRAM2TBu2rO8xPdHi88/Boy94SDPGm2/yuP6KDo+/GhMNmtx5vaDV7zO/VOeOyw3T4z2qOmCQKBbaMcoIrr9cU2uEPH+owt03jnH7dR2eP6TAjnHTVT4//I5lvvRixBefqXPgdIVtM4oNk1UmGjXGGlANyG52MBYOnBCkqSBOBFECYYz7jmFKPzQMQkNvYOiFhm4f2iEsdCXzHQjNgHtvWOadr2nx3W80JEmT2cU67W6FTt+n2/fo9hWdnqLTlxgDW9d7bBqf4OAJjxPnNSfPR7x8/ByxPDH5T/9O///2xt6tTdL7Lalr/+sB/NjpZVqd5Ifnzzz6808++uV1qe1z446UvdsraFWjWffphyCEBKAaOPtPyBQlDUpZtLJ4ylD1BIu9Kn/00Ba+/EKbu65Z5XvvXeWanV2mxmssrdbo9AN6fS8DtnJHJAhjSZwIksQt9bnFqKRFa6j4UKsaJhsxm9f1SOhy5FzMHz9S4fiZOuNBlVuu0txxbZunD7d48Mkmt+2psG1jjw8/JFAioNmIWe2GGAtKwEyzR7vjY5Iq77xrnj/6XI3dcxXefluPKF7ikZeniNMKt161jrff0mbP1hZffr7HvjM1Xjrhs2VSMtkU1AKB77mbUAoQwmIsGGOJk+xmjS1h7G7kQQT9CDoDwUooWO6A0ANu2LvK975plbuuSplqVllp12h1qhlre3T7w5WgN5AMQufjm1Rx8GSNQWRYXIk4diHFa8RcsWWJxx59fF2/Ovnz73jz7dba+d8WYt3/GgA/f+jX+eWP7eDzX/7KD5D0f2n5wvPTVdviuRNT3P/sHH/nW5aIYoWvA5dViyFKQEqFECAlKCmy5dngKUugLVUtWBkolloTfOzhOk/t73Lndat87xtXuWF3i6m0SpIE9AYVun2PfqiJYkWcSJJUkhqBscJlQYUl8A21SkLgR/heyLmlkPuflRw963Pi7ATKBOze6HPlTsVNV7RRwQIvH2uwebzG1btgw8wKy+0m12yWJMby+WcCwp5kvJ7wllsHfOaRmNOzDfZe5nFhdcArxz22rp/gup0LPL6vwxOvCMLI54qdk1yxNeCKLR2OXVjm6Dl45mCNI8fr1LQg0JJ6YKl47twIwFp3syapO3dRKuiGgvZA0I4hMgnGDrh5T5vvfVObu65J2TgZMBiMsdSq0OkGdAc+vb6mO1D0Bop+KOgNJP3QrQphlBIlljg2dPop86uG44uGD7x7het3NHjqFVjoPbpuTF/4pakJP7GrH/ndn/wPhl/52e/9mwvwX/2NP2Dj5V/mx99lv/vcudn/9MqhlfFBXzDZrHLZ+pRHXhjnTTeusHm65wI8rR1jRAItBUoqlBJoZdAqxdMCXxt8zxJ4lpqfMl4RdEKPlfYEn3i0yUMvDVg/0eN997S4YuuAQb/L1TstWzcowtgjTRWpkdgc3NLg6ZRTc5YTs4LVvuHTj9c4tziBjTwmKopNU5rtGzS7NsPVu9sYuchvfKbO8vIYt12huXp3iy+/JBCJx7oJSb2W0It9pJVgJUr7tAaCuWXBVbbGPTd1+OrzVTZN+9x29SR/6x2LfPBzHZ45VKc78FhabbBzU5W9G3vcenmHb7+7w/nlZT79eMBSL+DUBY9z53w8JZBSIhAYa0kNxMaSJoaJqZhrr+oRhjFXbA15zz0h68YUk42AOK5wYaFCr+/TC90q1y+ALemHgn4oGIS4lSBMCSNDGBv6oaHTs5xfFuzYOuAN1yqOn52i3a2wvNDjtz78zLRubPpPGzZuj3/lZ5c/8vwTv8dNd37/3zyA//qHPsz3f8fV4v/6lfS94eD4b16/7WDt+j11GtUmY3WPRk2x/2xCL1QEfkKjGmMtKKnQSmaHGD5rgadTfC3wPUPFs1RjSy2yjFVSJqqCXiTpRHVOnK3zix+ZBJMgkoSbru2xc0NEkoCxBmtdEkcKgVQC7fkcOu1z4GiFekXT8CXTNcHMlGTdpGbTjGL7xpS921dJxRK/+skmp06Pc9vlHlfsSOknHZ58OWC86jE1ZhlvRNSqTgoZI2kNFMtdy1IrpdWt8tqrV3n2QI+DpxXjzQq3XjXOB965xH/5FDx/tE63b1ntaOaWm2yYrrFuYsD2qQH/x3t7NGst9p2AQ2cknmdRyiKEAaz7n4UkgR0bUu68JiGNPeIkwNoag8hjdtGnH7oVbRCpQr71I8EgFAwix9phZBlEGbAjwyAyhJF1AB/AIJZUfZhdanDweMCFxYQLiwlHLsD6mcPjb7+z/5v7n9mVXHbj9zxi7ffNp5Dq/wm15v9TAP7pT3+UXVtn1Mc//eJ9S4vnf/ejD56rXH05/OPvXOS6PTFTY002r/O441rJ9nVV4lRQCRKMBSktSim0tnhK4mWa0/cUoScJI0MQpYSxpRo7VokiSzOBMDaECUSJYBBLwjQgTiscPFrnpYOQWouDttPGngRfuZqPRgBXb4RmFcbqkomGYmpcs24Stm0I2TizSmyX+dVPjnHs+Bg37lLs2iLZvWWFr7ySMLc0xk07JRNNQ8XvE8gAqwRJKhHWkqQRK90Kc0seN15R5frLOzz+fIX1E4JapcGNlxt+4r4l/tOnDK+ca7DaNax2FAsrmunxOhPNKhPNMZq1mJl6zPYbIwIvwdMJSqVI4YIJi7up4lgxv6CJE0WcKKJYEcbZcyQJY1dkNYgkYSRcgBoJwsgWbB1Ghig2Gdjdz/sRDGKBry2zF6r8/v2gZchK13JqCaamOvzouxe5amO/du587fcqU6fa45Obboqj/pn/Gdj7Hw7wn/jXv8eHHzPq6s0n3rO1Pv+hztLJymUbfF48PMmv/MkS/+T9C+zd0afdq2KMwNMWay2VwNVGK5kHkwpfW7xI4nvCXQRPEPqKKHZAj2NLlKTOFUlKRwpJaklTQ2pwettQgFsIUBK0BM+DQAsqgaAWSOo1xVhNMjEmWDeZsH1Dj0Z9lU9+NeKRlydZXWxy7TbF9o0ee7YOSMUqn3+mRt3TzEwoGrUBLx/DddxvtfRCxXV7Yq7dbZm9kLKw4tMf1HjrLR0e29fnyDlFvSoJ/CbX7DL8qx9Y4uFX+nzm4WmW2pbt61JWWprxpspWPo961VIJDIFvCHSKVk5qSRefYy0uYWUEiZEkqSBJBHEiiRJBHEvC2DkvUSyIYksUQRinRHEG6ow4wjg/YBDBIBEM4iyrGioOn7ck1tIaGNav6/AP3rPETbvqHDszw76js8GLRz7BW++uvPa6W+3HO+f/c9rY9BPf3AD/gdf7cn41/s5PfeX8f5veeqKycWacKI4QwDP7p/nXfwDvuK3FfXe1qPgBg1ATJxqdqExrG7Q2eFoTRArfc0wTepLIF0SxcBcnVsQJRLF0DkIytP2S1JCmzl1IbeaUFAVZoghctRb4WhD4kkogqVcFzZplvGFYPxkyM9Ehsat87DHJBz83xbpKhWu3CbZt9NixybB94wqffNKyvFzhig2KiSY0ajFzJyXzKwH+TghjwcyYZHwcjpywrLQNs4sV9uyo8IabOtz/aIWpBgS+j5LjXLNb8KNvn8eT8/zZ4xO8eq7C+nbMuvGEsbqiUVXUqpJqoAl8CDzQ2pGCFCBFCeS4Gzs1kKaCJCUDOsSpJUogjlNHCrEpgsgoNpntmLsyzoLsJ4JBIujFgn4qCBOIY4sfDPiOe5b41ltDrt/Z4OiZGU6cr7KwYjm1cDS445qZ3/zIH+7VnX7lD3E8880J8M9/7tMsdcwPHDx28N9tqMw3tQrYNCMIY5/EhCSp5Zn963hif8BSe5b/7d3LTE94RHGFTs8n0ime9jKtnRJ5Gj9y0iSKXSrdMY5wTJSxUpJAnEKaOifBGBdwGWPzHs4M3A7gLnAVeNoBpBJArWJoVBPGGwkz432mJ1b56sGI33+wyqET4+wY89i9AbZs8NmyHvZua9NL2jx9oElVecxMKMYbMN4ImRhL8H2NEO7m6oc+y+2Y1Z6l1U2YX/HZtqHB7VfM8+AzPQ6da1ILYjzlI8QYuzcrvu+Ni9y8d57ff7DB0/vHWepq1jUTxmsJtYqkWlEEniDwnIzTSqIUmX3oUG5xPazGUAA9SU22umXWYmJIUgfuJIYoscMjc7Qcawv6iaCbCDoJ9AeGNAmZrHX5O+9c5h98R0QSTXPo9BRn5qqcmxdcWIhRwuP+Ly01L9t98Fd37rjN/8IXPvPBt7zlnd98AJ+dayOl/JGPf/rjP//cgVen/sG3eyysjNHtxySpR5L4dPsh20LDsaUxfuUTkgMnFvjW17a554Y266c17U6VQRjgex6B7xFGmsB39l4O8DiWRIlbduMk87RTMuuPjLklxjIEt0tSZswNWrmEie9ZKr6hWkloVBImmiEbp9vMtXr82qc9Pv/sJMsrdS6bEWxbJ9i8zmfLOsHOTQO0v8ofPaI5fqbO5eslEw3JWD1FypBzC5ZAS6QAawVRrNm+rs0zpLR7ipW2ZW65yuVbKnz7PS0+/mWfk3MBno4RwsPYOnEiuWnnCtu/q83nn+/x4c9P8tzJOpsnBNP1lHolpeILAk/gexJPC7TCBc5SFDUZFneTGeuaQ9LUAT4HeZI6SefADlHqal2iPHmUCPoJdBJJN4F+ZEh6EVtmOrzuxhXe9do+b7xBkiZjnF1osrBc4fyC4Nx8zFI7pTMQPH3E8pO7Xpqqejt+6e43fI+ySee3hG588wA8GqzgefJvPfn0gz//x5/fv+7UvMf7Vhe5dnuHKG4yPd6gVvFZWAW9AOMVmO01+ehXNI/uq3HD3jbfdW+Xt9/eYmo8oD8I6Ic+gecRJR5RrItAKUkUcSpJEkmcCpJEkqaC1Iih1jaCQpVYx9xSgFLOdfCUwfcMgZ9SDRIa1ZDp8S79uM+XX7b88VfGeHr/OBO+xzWbLRsnJeunfDbNSLasj9i1eYV9J/t8+rEZxpRmZkzQrAuatZhWL+VzT1Zo+BYhHLD6oeadd4Z89ilXE9PqGuZXNFvWNXj3a7o8fbDDgSM+9SBBSeFAbmoMIqf1v+8NLS7fOM8fPdzmiVfHOb1SZUNTMFax1HxDRRt8D7QSKOluZMfkkJcfmUyqGTNc4ZIM6I4gIE4FcZoBO83kSCLopriYJ4qoV3u8/83LfOcbO9y0xzAz4dHu1Gn1qlgjWe0YXjmRcOKC4dyKYGAirtm9ws17QwxPr3vgoS0/f8etbzTzS53fWTf19Qf51xXgi8urTE2cAvrff+Dlx3/5U3/22FRnsU3aH+Onf9PnlitWedsty0zWW+iKZr47QTesEkgYD6Alq5xpe5x7qsZT+zp8/LoO73lDn7fcOWBy3CcKA8LEI4o94kQTZ0BPUkWSZgmbdAhwYzPmNkM7SgibBZWujkNrg++lBH5MNYhoVPuk9PnS85KPPDTO/hNjiDhgx4Rl47hlelwxM+mzYVqyaSZm24Y2ZxY6/PfP1EnCKlu2CMYbmmYdmrUY4UW0+3XGGxYhBNZCnEgmA0ViEjqxT6eXstJWnFuoctWuBj/2rav80h8GnFqoo1Wc3RiaJKkwiCQbpgJuuqzNtbu6vHLqHH/8lSoPPjfO+VaVeqBo+FD3rAvKFVlpQybJStfLANa4my41gtRCkgrnn6eCKHVJon4q6KfQTyxJkmDikKlKn7feu8r77u1w1zUJzYomjl1dfhgGJKmkVomZnlwklgZ/THHD5oi33dLllj2Kip5hdjHl6OmH17Xb8pdvuumm5MGvHvm9u2+colKd+usJ8FanRy/c/q75s0//l5eefbgZDyL2bPaZWE2Za1X5yrMVvvRszMRERBRrBu0KTd+iJTQ90ALa0qOXKOajgD97qs4j+3vc+sUuf+87Oly5rc26cUWzpolinyjxSJIhyNMc4EZirMRaJwmGHT4gRZ7mN2idEPgJnopo92MW2jH/8ZMVTsxP8PyBcazxmaoK1k1bpscEU03F1LjH+inJhqmEzTM9psZX+PwLhudeHefaLYKJhqRRkzRrhno1QnghQaDRyv1+ayFNJf1Q0x/EJEbQ6Rs6Xcty22N2qckde7vcftUqf/TFCtVlhZaxA6TVJKlPFLsez+nxCjfv7nLzZV2eed15Ti1Ifv/BceZXa5xdCvCVpO4J/FyGSRd4FkSeSxUckydWkBiIjSBMYZBAZCykCSQxUoVsmuhz7XZ3PW65MqVZ1SRJnXbXJ4z8YoVNUwlYrt0d84839YgTw/SYxpoGrU6dE+eqzC0FzM+HHDj+lanJMflf3vT6m1d63d6nv56Y/LoB3CbPgtqofu1DH7wsXDnWrIs+U+NVIKHiQb2SMtmB1b5Hr+2jgMmKA7cFPGPxpCBQhr4W9HRAP/VYiqo8+NwYX321Tz0I+cG3tdgylbBjU587ru6ghaJR0wjh5IrLSrpaaWtLzI1FSIsSzjO3JCATXjkhefag5v6nG7xyukGU1GhoxUzVMlm3TNSs88GbmskxzdS4YMNkwqaZPhtnVnhkf8hv3L+OjeOamSY064pmXdCoJVSDkK8eVgwijVd3oLJWECWSilbccHmfp14ed4VP/ZTVtsfiasDc4gQ/9vY5zi4u8dSLM3gSEDEGSBJNFHuEkaTb10w0Kow369x+eY/XXdvju16/wMEzhs8+XeHpg1UOH6+TCE0YKnqxQgmJEGJN4JnlBKwhMRZrDJ5IGfMjKsTcfmOXnRsHbJmO+d63hFR9Sb3qEUU1Wh2fKPZIEpURjvPZUyMAQZzW8FUFz4flVY9W12elHbC4qllYFbS7sLDQ5oXnHmpW9YnLXt30AfWZRw+m77z761NP/nUB+L59r/LKkW1+Gj7+Qzfv6v27pQsXiKIavp+ilctE+l5MxUtpVF16N0nJAj+ywn3wUkuQWiqpoKYzFkk9+qlHL63Q6aT88h9NYJOY9TMDrto2YGos4T1v6LNtXUQci0xvSygxN5n+lNIgpOATD1fZd6yO0JpT52ucm6tRqSrGAsF43dKsGJoVaFQFYzVFs6GYaGimxmF6PGH91IDN69qkdpVPPNak362zZ4ulWVM0apJG1dCoJHhexOefqhD2JN46kBmY4kRSryreemufR18wdENJt5/S7mlWO5rZpRpX7mzwnrvaPP9KjVPLDZQ0QJzpZY84VYSxS8x0B5pW16dRrVGvhly5ZcBtewecmW9x8sIq2kt56bjm41+pIZRy4M6K2IYMZQAD1hJHKdvXJ7zvDX2mmyl7t1vWT0GaeIRRgyTxWGl7JLEiTocraJwo0iwmStM8sHdxUJwo+qGi3dOstBVLbVheTVhcjWn3LA88vgo1/e9eV3umd/trr/7gieOHo527Lv/rAfDlxTPUawuXHzp69te+9PCL8g23LXL9ZT3OL0yiZIBWGq09tBYEvZRe6EpUkySL3q0LbLzMn/VTS8VYF+QYS5QKQiMJU0lkPGIDC90mX9lnsKT86dNuZAPWZEeexcssMiEQQiGERCpFEmuk0Xha0ghg54yl7hlqgaEWQC0Q1KuSRtXJobGGZKIJU2MJMxMhm2Y6pKzwH/+kwuMvr2P3FEzUMvauSRrVhFo1ol7rU63WCJREyUyD4+RAHHsM+oJ+mNIJFd2BodM3rmWu7nN2bozXXhXyE++d41c+rjm9GiCEwdoYk1rixCOKJYPQlbE2+pp6xadWrVALalSCmEY14qY9Eb4Xc8uehO+9t4dWSZYEMghhR0V5AUiJEJLAU4DPINQsrWhXt5PmMU8mCxPpgvxUZQF+lkjKYqHEOGcrjCTdgaLddXNlllsJS6sJF5YtZ1dTrt/TRbWfkHNn6r/2cCd+LIn7+78e2Pz/DPB/+u8/yqeeoTrl7b9vnT4ortwheOqAYv3UMpdtEUjGkbKCEBrQSClQyjXdRokDdpplGhMzrIJLjSAxdhjZG6cP3SGIjCSxktRoYhOQZrZX+VFkKQVoIVymUkGlaqloS0WlBB4EGiq+pRoIqr6kVpXUKtoBvC4YbxgmmwlT4yHrJrtsWrfEb9xv+PCD69k6rphuGJp1RaOmqNegVk1pVGMuLBmOXQio+K78FvJKP8Eg0uzcYNgwPaA98OkPbMbiktWOplGt0KiN8733znP8wiy/+enNaKmxGFKTkhhLnGjCSNGPXFFUryKpDTTVwKMauPEPgZ/geymeTvG8FC1do4SULp0vssOVrjhZ4UAuaJmsytK4uCZNJcZIEjOMd4Zgdq/TVLprVVi3TpINQkmnL1xD82rC4mrC3Irl0Jxk+7YOt14dcehUk8MXnhTf+Y5z973x3i3HFk78Tn9m59/6xgL8J9+r/NPnZ//JRx+Y+ycPnV2RN17RY6Vv+PCDip/5/gX27kjw9BRpWiOMNUkC1rjtP3RiMt/aNfamefLBOE82f59mwC/S7FmlnMnkTR4olTU3kGXyXGClpUFLsrQ/eMqVBQSey15WAknFl1QDRbWiaFQljZplrJ4y3kiYbIZMT/TYtn6Jpw+H/NHDm5ioBKxvGJo14cBdldQrhnoloVELefoQvHSwxmUzNtO9w7R5P1TcsteyZ1ufZ/aP0wst/UFKt68zkHvUKlWqlXHef/cyLx2e56kDG8AqjEkdESSWJLZFPUk/1NQGlmpFUfENge8R+CmBNmid4mmXGVbKZB1RrjQY4YYl5bQwDM5dCbHJHSmT268lK7ZgalEAvMiS5gCPJf1I0O1Dp5ew0k44s2g5NAde0OaH3jaPSSUqgOt2e/LU6fq/+I+/sc4Pk6l/C0TfUIB/9P7jfn8QfeD0qQv+yXM1Dp7yWelJVvsp7aTFfa/pcfkmmBpXLKxqVyjlSyxkbO7KOXPGNhl7p0X2EcfOGchNlonLkxXWWkqZ95EVN09V5wkdJbOMpQJP50VbLvsX+IpKoKgGglpV0KhamrWUsXrCeCNkaqzPppkVnjrU5+c+tJ7TZ8fZNW0Yr0GzqqhXFfWKC6arlRjfG9AaWJRUeMoi5fCTpcaxXpz4NKsxvcTQC93+PL1BSqcnaVUVtU5AJWiwY0PMv/qhFj/7u5InD6zHojDWkKaGJE2IEkMUKwaRoh9IqqGi4ksC3xL4ikAbPM/5/VpZB3DlAK4ymSKEHW3QzVL7eYxks1qWNAN8aobPaUrmXmXXLs1W28T56HEsCCOKEorFjmU1iXjtDSt8x1097r1B0+oGXL9dEUcN9h9b8CcmJ/7xm7/tW7wf/u7BP1s3/Vfv7fwrA7zT6WKM+b9+8/d+7/bjJ05PYz22zRgWVn08C3WlefqlGQ4ej7h5T8idlxsGISBcGtl6mWUnIVXu5OjUYowt0sim8Ggd6xvrvFq75mANwDPZPWyQEHmThLPLdNaK5mlJ4Et8T1EJ3EiGamCpVwyNWkqzFjPWiJhs9tk0s8pTB3v87AenOXR6ku2TzmFpVCX1mnTsXbXUKim1SkycRvzBFxtIpfCkRYmhTWisyHx7j+978wpfeC6iEwX0MoB3+4pOV9EKNBU/IPCa7N2a8G9+eIl//kHBE/vXY6wkNS6tHieu0CyMDGHFlbsGgaDiCQLfZTZ9bYuMrVYGqZw3LoV1jRI5wIcpTyAjEVwuwbktWSCfgzmbOmCK5BoZu2cMnpLFWu7fqwSKzetT3v2mHrfssUzUx5hbrNIPPbp9j/kVH9+3LC+cqpw8/MA/vP6md4lOu/fTjeZfre3trwzw5YUDGGPuuHD2whs9Jdg47dHrp9QC1//Xj9y8jkEcMD/r87L0GG84JlNOMyBFxuDGYlJLqoYMbcyw/coBXbg6ihzU+Ylf87lygOc1GHkmL2dvrfO6E4nnSVe/4QsqgZt5UgtS6lUH7mY9YrzZZ2a8xdMHe/zc70zyyqlptkwIpuolaVLR1CuufqVaSagGEZ4Xcm5pAk8JlDSZLTcMMtNUkiSKjROWJIlpxxX6oWUQGvqDlM5AUu0pKr6H71Xw9BhXbEn4N39rgZ/5bXjq1XWkRjqAp5Y4STMmN4SBoRJJBr4qJJjngaedRHN1Ks6ilbk3nj1fAuNOrpAlhRBFcshkyaE8W5ympaRRSXKm6RDgtYpi8/qALROTtNqG+UXlas4HWXP0QNAbCAQJx47sq4ra1bcLJH/Vx18J4Pue/QIiDWqPffVD/s17eiys1BiEim7NNfTmHR9xYrAWtJZ42s35FAK0FkgDSgkHbGMxOgdzWYbYAug2lyP566/x2aQYFlFJSXFDubS1zBolcnkCFQ8C31CtWKqB08+1akyzFjFe7zM90eK5IwP++W9N8PKpGTaNK2bqhrGqoFGR1CqKWlVQrbibw6X6I546IOgOfCqK7CZzGjxvQkiNIE409Yrijqs7PP1Kk17sZEo/TOn1FZ1AEfgK3/Mz/TzOlVsNv/CBeX7q1+GJA+uIjSQ2JmuWHvZghr4k8I1j76w2xctubneQyZShjJNZlvdSIM+TQjYHeAb4tGQFjqy82Z850Lvrma8QUSw5eb6Kp901jRPXXNEPLf2sKXoQCp4/2mXP2Y/5b73nu2t//Cdf6r3/29/4Px7gq0sHGZvcOP7VRz7331eWufvmPatMNAVLqwHtvqLXF/QGHmFWk+064YcndlijnOk7JTJtncsQSqDOC4PsCMCzf2BUdwtXUCRkBu6syEgVAHc3lKcdk/kerhPIzwqsgpRqJi8a1ZCxRp+JRpsXj4b889+a4KWT69gwrpmpGcaqUK8I6lVFraqoFeydUgkSGrUBj7zks9qqMDExTJPngDGZTo1Txbopxb3Xd3nkWeO6aCJTArmk4kkqnsbTPlpXkdJw5VbLz39gnp/6dcsTh9YRG02cVQC6slfH5EEsi+pCX8uMaLL2P52fG4rPl9+EORBFXpXGMCG09jClZ2NKz8XKa4vrJxhq9P7A3VTGCOLEEsZp1vXv5tYstS2zXcuVl5m7T5975bfv+/Zv+9v7j5xYvWbPzv+xAD93bp75+ZWfeuGVA9+5c+NxNs0oAr+L7xnq3awDe+BanqJYkqQUXy5bpXN8jix1uSOSFwANwf01mDtDep6RK7S3zCvohro7rxjUClefoS2e5xqLK76h4qdUKwm1Sky9EtKoDZgca/H84ZB/8uvTvHh8PevGPdbVUsZqNgN3xt4VSTVw7F8JEmpBRGJCOlGAUBIvZ/BCg4tsGc8KxGKPuj9w5QJRhYkc5IOUnu8YPPAlntZ4Ot+A1nLNDssv/e05/s//Znji4HpiowlTQZSajMUFldgQeBbfc72rOos7tHIlwkrK7PxkXfn5c6kwS4iR010UrJXBXZBQiZiGRGWLa51fqPwmypuj49i1w/VDS3dgaQ9gsSNY6Eq+9Ow5tm2ufufBVy4/liTRz/wPZfAXXz1Nc3rL9gc/+5vXHjy6xO6NHVAJm9YNaNQaLK7W6HR9B/JQE0bOA02LrOVQy1lKS1vp7h+eMFFiimFW0pbXzJy1y0FlvtxmHToqC6Zcy5sDtq9tUT1Y8dJMN8dUKyETzR5j9Q5PHUj46d+Y5oXj65kZ08xUU8YqlkYG7mrF2Yk5uKtBSsVPaNYjDpy0PPx8HV9KPGWyIG7oUeSBc5wqEqO556aYy3Z1OXa6ykwNBllL2CBM6Q0yFtYKrb1sHozzrq/eDr/wo4v8zK8bHntlhkFcdcmwxFLLargDDwdyna9epuhtlSotVjglRQngogRyLtIrQ5DbUYCXVtqcvUdX4Oz/x9BIcOztvm93AK2BYLYtWB6kNIMOnt8n6c9y6shT1773/T+03YQnT8ngLz+A/y8N8M7qLPWxsR1PPPn0fzh4avldpxZW+eADkwhi3npbh9v3huzaPGBhucFKZziaIYxkAfK8fDVnMXenD0GeR+pF5F52SS5ySzLmXgtuYZEqtwVLLW8Zc/va4HmGwDMEfkLFT6gEEbVKyORYj5VOj0f3wy98ZAP7jk4znYF7vGppVAX1iii8cue8GMfevgN4NQiJ0pRBv0JFuZtMCjFSyZcnUlygqZ2W16Fr4o1FCeAG30/xPY3nSbRSKOkVAEfAdTsFv/C3V/jlP0x44uAU51tNBnXJeGppJJZKNnEg8Gzm/edOii3YO5cqOcCLz5t96DLOC4WYXRRbXKsS2MtMboYrbw50hwUnYcPEMgihEwoWe5KFlmViqsM7b1zhHbf1MCZA2HmqevZd+/c9m05uuO4fHj91/uSu7Zu+vgCP+0cY2OptXrL/vv7yKZYXxzi7ZFnqCB56qcfrr1/iJ9/XYvNkSCVwU6W6fd+BPFZZQsfpL+er5kka62ynNXf6WoDnp7isCvOL4MY95OxtM3liS8OBbNb2ZrIxE2kB7sDPwD3ZZWGlz8//QY1PPznDYneCmTHJTCUDd8Xp7loWWFYDSS2wGYM77V0JIiDioRd9VmKfqYCRemzE6AqVpq75oRlo3nBjj6cORXTigLGisdfgh65W3dcyq+uxKOkhpEvQYOGKrZJf+XttPvtUn3/7O+s5uzhBf1wz7gsaiaGWQBC70cu+cgONvDzQlKIIgvPncqBevjGFKHpFiuvDGnAXDF7Yi5lcKWlz55FbwgT6kaAdCuY7gk4asWvTKj/5vmXuukZSrzRZXG1wbq7CI8+fZf+Zg/ddf0PtDwaDwcmvK4P3+l2CSm3P3KmH/76KnuOtt6fMjAe8eDjh7KLh7EqdB54KOHquxnfdu8gPvmURrVPkSsOBLLSEsSzqEwrvNHu2Zo0NtZa1y7KEoZYXUKSbcxdA5QBXFi0dsLVy4PZ0iu+l+F5CxY8J/JhGtY/WPR55KeW3P9fk/sfXEZkm65qC6YqTJc4CzH1ylR0iY+4ye8doHfLVV8fpRZqNtfzzrGXwLNA0kjhRVDzF7Vf2SYwDeD8WDHI3JHIj1zydW5wqA6LLPjqwCabHBd/5+i6N4Dy/87k+j746xWxcpVeRNBNLXVsHcp3FIcpmcYnNQJ6fQzGsHZcgGbL42ikPhVTJR1Tk360gKVuKs3KHxRIbiGPox4JOKLjQkXSiHn/rbbN89xtCdm+q0uk1OXyqzpm5Gs8fUjz9ap9E7uPKK3b//fvedvcL/UHnSLXyFzdI/IUAb6+c5ld+57Osm5rYdPjogdc988wcb7ldMDUeUfHrTNbAUynLPcnx01P8u48FWC7wPW9oM1bXRfpcSEWS2FKnjSj526VkwgiwS9ZD2b4Sdo00ybNyrmJQSYrJVzlze8rVYgRejO/HVLyIWm2A7/f4yIOaX/y9dRxbmMQLKmxoCCaDlGZgqQdQzzrsq4HLdlayhJCrX0mzlcDJk8V2Sjfy8ZXCl7YIMCl9lby8IM3qOKLEo+oN2DDeZ7XXoB+LQpf6nsHz0szmU5ndqRzARwJXV/n4rru63HLVAr/w+wM+/PkZlpM6vcCj7kma2tXgBBp8RdEMofOkT7byyUKqDBNAZVIZFStloDOyAps81iqy0JknblzrWy+Cxb5gYPr88Nvm+AffHlP1J7iw0GC1E9Dp+fQjyUIv5NYbFrnn2hWu2rT+dd2F1U1pvHzk0JFT7N2z/f8jg9uEn/mxN+w4ePDgbxx96QzKzvCVZyxjVbfEjdUFvm+p+ZaxiuX4Yp0Pf3Ga26+4wBVbBvRCL6sNtiiZl1E6kA/TwJm/WkgSsUaa5OC2QzbJsm+yDHBpUdIgR5g7zUCe4GsnSQI/JPD6nJxL+M3P1vnUY1Mcn5ugWfOYrMBEkNIIbJZ6z8EtM3DLIilUybR34Lsbp1kP+eRXNUdOValkE7iKdjGGKC/GOFinw+NEc8V2eMctHX77gSm6NU0ztgxiSxBlcYMyaC2d+6EogdwrXSu3Kmyblvz09/S4dudZfv3+SY7PjrGcVOl5mroS1DKg+9K6GydzmYrVLz+vuX2I0+fDTKe92CfPiSkvnVjjsqQlFk+ybqEwcQVYV+/o8l1vSFHMcOxsg3bPozdQhJHCU/CWm2GsPoZNx3jgy/Nce/PEb+zYdefbkqT9F0qVPxfgSRyjtGb+3CNbRPTk7nuuP8tUfSNnZp3XqqTTXm7Io2E8djPyVLVCFFdJjUQIlxoGdwJTZYo5gC6oFIWjkrPAkBVy2rYjOjAHtnvOioYycDvXJGfvFE8nrnNHJwRBiK9DOmnEr33M53c+u4FzS+MYVWVyTDHpW8Z8Qy1j7lqRvpdZnUomTTLvvAC377KXYRxx5GxANwqYCDIXJ0865a5E7iTYUk1KrGnWNTu3RKhgQCdq0PcF1dgS5gDXaZaoUdkYu7wE+FLBq2JmrMePvavHfffM8jufbfObn5hisV+nrytUtKKmBVVlCRLr2Fw6qaLlsLwhz3JexORcQq6sdVigtDJnzlFW9+8cJJcscoOdfBZXZuh2xplf0dnwIVlkP5Wscm6uwtk5w/OHlzjbf2n3vcLf8pa7bzsZxgmB97Vh/OcDPLyA0vWZOGl+7BOfOeaN1QK2bUhRyqM/UFlZa9awmriM5IYpmBiTiHSGlXaMNQKZgVwKi8prGUaq1nI5IrCX/CS2ZAfaAtgj8kRmVXLKTZ/VOkWr1DVa+BG+F9EaRHx1n+QjDzb5xGNTDNIGvu8z5QvGfUPdt9QCS80fgrsSSIJAEmTSxCWGMmciA7jvuczniQuWR5+rEcUeQd1eFGDmjyLNnZWiRrHC8zT33tLhj77U5dDZOv2Km/cSehY/AS82eJFBKel8aymQQg4TZznAc4/dSGqBZv14n//z/T2u3Bby4QcbPHtgjIV+nYHy8TxNRQuqEgKZ2ai5vSqtyycISiAfrVlZW5xVZvTyilxm9NwiTa1AYZmpgUzrPPWyZqLhFz2hbtovRdVkP0yZW4q5cqdH2jniNap3f+zU+dXr+/3uwl+ZwVv99TKcf/m2hbOfG9u2wZKkTZSE9ZMpg0gSJ8PCGpMxsOfB9LgFW6HXB89Lkcpk3SwiS/mOAjyvRS7LkpHCH9ej45i8SCmbotzT6W6LVqkDuEoLOaJ1TKsb8/h+wYceaPLg82MstxrIaoVGVTHuWZq+oeY5mVX1yVjbMXc1kFR8RcUXVHyyCj2TgdsQeE5/Kx1y+Cyca1VcYiXTt6OJk2H9jOuDFFkVpSSKNOubgj1b+7x8OqEXe4TZjG8/woFPpZlEyRM1INd05hTBe2ZDxqmrD3/fvX3ecusKX36hw+9+vsmzB5osdWq0pE/X1/hK4EtBIHE9nNKiRR7XZFMIRFb2ewkGv7h+pXzjlfIgOeCzm6ZZsWhjOXLKMDkW4yl35xSOSzbKIowMaWppd3wuLIf84Z88OPY99735tjtuvuoB/pzhQX8uwM/Nngu6HfnfHnp4tr5704C92w2rbZ84lW6CVJr522lm3wnwtaFedW5FzrBKpWsaR8RFWntEkhRnrSxNLOUCfSdLTKa5DUq6HSD83M2QMQudhEee03zu8QaffnSM+XYdUangNTyaGsY818lT9chkB1R9kR0yKznNdLcvCHL2zgGuE3w/oeJHWBvz0PMBpy5UmZ4UeNJkOlYMG31LbGdHyk0V/dBj+3rBvTf2+NSTEd3Yox8LKp7FTxyLh7EtrVKq8KsRckSmuEMOGxWM89urQcj7Xt/nTbcs8aePdfjs4zUe2ddgvlWjL3z6vkZ7Ci0EnhR4UuIJm0kti0KUpOGofXgJMr9YqpQJzNXbYaybubLaTYkT5xYN6+ZtIWfirDlmec6wZYthQ+NsfdN08t+Wl05dCfT/XwN8tWuJwsF3P/zoM+PNIGGiXqFe7eN7cTaPRLpMXJpJDiuc3ta2YLXAS9DaSQY3DHJoaw3vcuFspotuAUr2lC0dmdSRBpEBXOsUX8dUKjGDMOXQOTh5XvHHXxzjgWebzK/Uwaugmx41JWl4loY2VD1L1YOK58Bd8dxMQldmKkuHyP7cZiA3Bch9z7WnHTtvePlEAJ6XLfO2lKIXIygos1qa5QaS1I1zvmZnyFVbuhw8V6NfEdQSQRBbQkVm7ZmMvXM3Jbcgh1pl2Ofqgk5jVDZ9wGMQeVSrIT/w1pB33rHKF57r8tEv1Th5vsLBczWi1YAk0Ay0Rirp0vmAzp5zJi+kC8Pg/yImXwPwMrgVLrC12V9MjaAfDc9Z3gjtsp2CKJUMEhecTrQ1R0+FHDz8EmON6p/H0V8b4N1OW8Rx9BNnTx0YT0SbRPSZGu9lzOHRHXj0Bh5x4pgit/RyPZxrYK3Sov9vzY1enIS1p0aI4bPIu01y1hYmqyNPCQI3STVJU2aX4Itf0Rw7W+Xhp6ucW6ly7HwdggBV01S0oq4tdW2ci+C5wfkVz41rcyDOD5kdKgM4mebOwO2lBJ5jb3djRZxYgAMna3hy1B4sJArDevBiyc6dFJP3NHpctb3PnnU99h9P6CUejVgQavATNxNQlQAupUBIOcLkwJrEiiiC2byPMk49Qs+nWY34vjeH3HVtm3MrbR56xuf4mYAvPF/j/FKFtO9hpCb2FUJKt1JkXfmSLOMJhWzJCcmuuchr9YPMAO4Z8KVlkGaBbmiLeMVkIyzCFDqhJAwtViZIFbHTD1EVyaHDR6bf/94f/vutlfO/NDax6ZLh29cE+L5nP0uappw9vcpzR5r8carYvlHwuuvaXLm1z3RTcNlWgUk9BqFHaiXWSIwdOhtCmKwW2g6BehHI13S9Uo7Yh6xdSBGV4gUpcWo5fkbw8nHFF5+usf+Ez6snqrTDgDAKwPNRTY9ACWoKatpQLfnAgc7rNPKyWVcXHmSyxPcVvi+zG8AOtbeXusyi53R+xY+xJmJuWRLaAK0lvrToks22hsBL1tlov2OUeAg0M5MRUg3oxh49LZzTEQ8LxrQyIxlIOVLFJktlrUNLNi0NRvJSVYyf6IU+GyYitq2PuWlXSD/q84MnWuw/6fPFpyq8fKLC8dMV4kRBoLBSgZCkspQNKuhbcIkLPPooWaZ5WYCSAi97nWe0jbGkkUGYhO3be2wcC9m7dcBd18VsX1eh25nhlaNh/csPP/udUqpf+n/F4J/40weZa7XUsZP7xO3XznLkXIMDh8bYd7LBQy9O0pADtm7scc1lfd5004C7r20jjcTzJc1a/qVEYSGOEPTXelgHaLL5JZ62IAxCWuLI0hs4Rj95VvKHDwb0YsWLr1Y4eiZgsesTpj5oH5SHaip8KagqqClLReHGmams8Eg51vY94ZIeZXB7Ej+TJYEPgU/mmriUuacNvpdkGdGYaiVifiXli080aHUCJsYEOvPi86KvS173vJqy0OKSMFRMTynecseALzzb53SrTt+TTqZo8BKLF+eedeaxy9TZhZRnncjidxirS7/DAd1PFalWJF429iH2nJXqxdT9mLuuSbj9ypB3v27A4TOSlw549CPFh79Y48SsB0LS62vSSOXlm1idA1z8+RdbFDTmvPFUkiCIMm1VqaV4XoIi4S2393jjDQOu2ZOwfT1ofKp+QLdf5+l5waOvrrJpy9PimituVa+++Pnkqhve+pcDuFaW8Wbz146fTK979dUKCyuCDWOGsVjQHlRY6Vc5f3Scpw4nfOKxAVNjfUgSbrysz/vv7ZEkhjSB6XHDDdfG1Cu2ND7Nfs1vng/nafUEL+3TLLUl1Yrk6QMen3mswiBWDGLFhVkfIzSx9TDCA60RgUZLia8EFWmpZMAOlCVQ1tWA62wp1EPm9vO+zALcKuvRFAV7+57B9/MCrbRgb9+PUSriKy8oPvVkA+VrZ7eN6O+vzeC5F56mueOhGAw83nlnn09/tc2HHxqjm1SoZzrcy3V4nCdlbNEtJIQsAJaJxZLWLwHcOCZPtGNyTysSrdFJ6oCuUpRyg/QnKgl37k24Y2+MFSHveX2PQezGuf3ZYwHPHPCpBoLFtuKl/T7tnsxU0l8A8mwAaL1iuP66mHXjKWkWRL7nDQOu352SJIrJpmK8rklSN4ulPwiYbfsMYo8NU/De11smKuI6P5j4tTjlx/5SDN7ptKjWm83jr3xsb+fWRD35UpVe1+ArV502VslG58bQjT26kc+JC00GacrRCzH3PxZhTYxNEsYmIm67NqJRSTF59c2fA3Ay12G1q3j2ZZ92SyG1dDNRrHbMJDRuLrAGqZFS4knhwCwtgTT40gHBV+Cr4Yw+B3IxbHjQrhEgbzwug9sxfFZW6+UMnpaOhEDHWBtxbtEnCisEYxI/S3urbMkdyWLmHT0M0+tDkEtSo4hij4mGYut0hC8G9JOAfiKoajcEM68hyRNaSpbLW2Xxu9zvkFnyx5SG4JvM2h1KoyRJs5gpn8meECcpKi7HUQlbpk22Yhiu3DYgsn2kNrRagmdf1qz2JKpQLH8OwLMqw3rFctt1CWNjAhtLbKqR1iM1FeLEJ4w8lladBA4jTRTrYleKfqi4MCd56AWpbg0He3/8B9/V7HXb7Vq9+ecDfHV1iW6n9UtfevLM68+eW8HzFZXAIwic+R4nECbGJSFiyyAR9GNBL9F0E003qRKnKVYktNsxFx5JwWZDefIQ/5L4Hi5vVghMvuUCWc2pUMMgR8rMyspBnaWdJdnGrblvXHrWWSe9Itt6jwLcrq3LDdcPfIGvKUpMHYNnLK4NfpYd9byYIIg5s2j4/S/UQft4UgwDzEKeiIsYvOwu5ENCHdjcYJ0o9vjet/T500f6vDrXoJt61BK3Ka2rArTDThyV5wTKwV5euphLIVkq8MoPU9TCaK3wUjcvxcuAruQwaebqxnM3zGSDg1K0sAibMl0zfMtrDYg0k5mAyPfPYM0Xz6eOOSsziaskA02aOpcninzC2COMNVGkCSNNGLv5L2GsiBJBEku3NYuImG6uUDMHXn/+3M2/lKbJ//YXMvgrLz6EVsJ/ft8SB07UmKnDRN1dpDjbdzHOev+KireM0RuxoBsL2ommn2pi45Pq0sQp8qlTI6ZRCeDDZTYPXoSURQuaEuAJl1YOhKsW9KR7ryVZTUXWPZ4XEmlKc1DIdmYbdtUPAS4L2RL4tmhp831TGpyT4GXs7esYKSNOzQoW2hWE1gSSEXlSpOdLFlr+7ctNHWV9nKRuxt9UM2T7hj4HZ0P6qWaQQpAKvNTiJZkOTyicpWEKXY10KuSLppu0m4/iECVpZNCpIVUSpfPty1VWrOaSdEoODyENKgO5yH83Zo2Va4dAL6zh7PMU81Zyn35oYbqZi87KHGSbYoX5kW+zku1rKoRlxwbFdbt8Wv0l/uTPvuiLS+R7LgJ4t3MYgLfc3OamXZqltuvMKW9GVOzbEg27MYIoy7hJ8KShlwh6qWRgZDF1ari7QkYtZc2YL+WFBZV7rm7qrCcsnshAm0mA/HXxs4zsh6WgFA22vhIO7CPglu7Zz4GeB58ZuPPuH20KieJpp099PyYh5rNfrTK3UMUbU/jlGo6yg7KWy9Z0Lpk1SZ9B6CbYvv01Xb66b0A7qdDTmmpiiLJ0upLDgqi84EwIw7BzKA80xUia3JhspoqFVLnfqY0gUQKd5rvZuVqeJAP6MJlmigSbzHIb5dzECMDB1avnX7gA+FA6pdmErDj1iCLNIPLoD/xsG0NNP1RFXUoYu32ZBrEljNyub0dOK9dFFsds2nT8kuJgBOBPfvUhGvXaaz/6mc/fsnHiJNdcBoPBOOfmqyy1Fd2edrtrxYao2HErr1d2QU9OVUKAFpbACCLrJh+l+bJZUiWFMMm8UZElEjQUVpvKUsZuvslQ46oc2NLtJ5+PQigDu5iDonD9iJcCeB5w5rpb57LEZnp7tJbc92J8L2K2ZXj+aBW0j87kiS4VKOXZPrEG4S6TW6q6MxR+eO6Jx7HHjZeFTI33aa3U6CWKmgIvcd9FpdYdcRngOJAXvygbIV2u+zG2mFJlssI3zwg3m0YZUiVIMpCXi9fycgiZgzwHdWlClsCxernqc5iNtiWADxk8H9oZRi6v0ul7dHpu3mJvIBlkwHabYuVtfIaVTsK5RUs7Drl2T8Q9N47dsmXrW177/m+5+/E33PvmSwNcylWs6X3L8qq94ZNf8blyZ8gPvnWeXZsnsefG8KTMmondDsFRtkV0f+DqP4wxRUo1NYB1hVa+taSydKIZxiEyW8Ly5XzI3rZg8LUlnDqvjchqwPNST9dcnHeqOFmiiu6VIbDz5lvH3pnm1hR6O7cEHWMPwe0V1Ykxgpj7Hwv46v4GMtD4Urj520UF4bCNbljxtzabmY1GK1jcLdmpUfQHHndc3ecdd3X4zfsbRGlAN5VUUtcJo+WwWrGQKVJmLF7+VV+LycFo6eq0jSjAnSqJUsYxupTZaAlTKkUu1wDZIchH2HuYpGOEyRnWHeUefSpLWxtqen2P1Y6m1ZX0Bq59L4rLw41SOj3DibkEv9bjx9/dZuc6QYS9YaHT/RZB/PglGTzsnsavNd/ylYc/8z3n5y8goioHDlf500qfN9zgtvCr1wy+L7JNntxWdGHsBj9qJQjjmHbffRmZSQgEqKJpeHQNcRfejjBd0VvJsOahPNogZ263BUn+nozBKdqwRlg864bx1Ci43TiFNcyd9Wz6WXubp/OGg6R0xETEfPShJqkNUEX2shxgDvsac2djRINnuxEXrXtGuulQaR5sagQe73tDjz/4bMiqiemnFfqpwEsoWFxKi0xEUXTm7MKLcocjDdxDkAtSnSVVVAZybVHGyZVUWVTqKhhd9lgWpclDi7Jc3ZlnItdmodcolWIVy8s8ZNEI0g8lSy3JcstVEMZxTprDI0otG6cEr7vZ49ptE6SpZHnlPMil77nl5nc+fODo+S9cedmmUYAvrBjqUXzZ2XNidwW486oArQS+rjK/IpgeM9QrppjrYUqju+LEdZofm3UtSHE2KkJmQaEt6ZKCWEqMnQN9tHl49PVazZmDvjzbQykx1OJZxd3IsJsM2FqJoZNS2IGu4941JtuMuYcBpi6xd+BFPH9UcuR8Bas8lJT40qDX1mmUNNhaFyU/iqZrI0p+tQN5nHjs3hRz1a4uTx6uEiuffiKoSDdLXScik29ZF06S6XCkkwtcDKjR4LbcTpa7K67exYE7a2dTtgTuvBbIZmUCOZNTrB5DLe5+sxRDiZLLlry4zo0UcXMTG9WIVgXOzgUst0y2/ePaWTkOAzNjHv1elUeely4paLvsvSbdXfPDy5RJvnARg7fas3R6VXZvXuK+e2I6gwpR7MDj5u255VqINUpegKcMntfjTCvi6ePrmAhMwbhSlIIsMaz4FmtZm4uXdVXUfA9tt6FkEa57XgzB7YJMUXSL6wLccgTg5eE/rtueAthFtrJgbreFoZ8HlzrGEvPxh2osLVURgXa+e/kmXFuDUjpXI72LZpRVR7xpo4hjzfSk5L33dnj+aJMwrdBTPtXUafG8nFVJMnDna4XJPPG8MDeTKmv0uDGlqQYjk3wlyuQrki1eO4DL7Huaom0u7/KXQl4E8HLZRX7dR4vp3N/zvYTJsR4P7zN89cAMvnDAXWs0CuEkp7UpvYFbMaNEMLdieZNuc+XVZ+l0BxdLlH/1qx8nThU7182zbmyVmy/vMlGr0B947kuoYZCRf2ApLb5OadQHLLQ6PPh8k3ZkqWpBNW8AvkTB0dr3Q6DbEdYuWHxkvNiQsWWZwZUosXguVyRKjwLc19kAIC/fOjDLcGqLV6TiTfY6HTm0cp07r56Cjz3YIJQ+Sqosezl6I67NYF6y0IySk1JyU0zG4EmqCVLNe9884EMP9Nh3vEqsPHpS4qcmc48EMrWl82Rde5ko27Em+12j+xaVmTw1oAsL0aLTfKyEcVKo6NvM57KI4vompa6q0ToiLv1elLqxhOuj1TqlVhnwxls7fOgLdeaWm4xXyBJntiDAYvXuWoRI6UbQbEZcf3mHMf9pVs+8zCAyowAPu7P4tfW1//Bff3vn8y9ZvvSkz76ji/zj755jy/oK/YF2+8ZnOs/Xri5ZqgRJTKsX8tufDTh6oUHgiSFQ5dAJuRjotni9NqV9sUQRBXDWjkOWJcbOg8x8apPW+SavmfZWa8Cdp++9vDHZuUG6aBHLezqT7IhRXsSRc5pO5IPSmTyxa8pjL16hRlyUkh62a73wrBtnmPjR1D3B3s0D9h2JSE1A3/hUUlezrTMNroTLT7jEUs58BorBlcPRUkWGM6uH0cVgU/czZSCVDvAq251CmuGEgHy6Vpp395d6Y4vrWgSejASdZXArabHSFKOl40Sya4PlR771PP/hDw0nWzWU1XhSoqWzefOb2BrBILRMTPf4e9+6xFUbmxw/P8bJ2d073/UdP147dORne3v3rHcAf+XwGSqVhTdv3dz4KdPtcfNlkg9/QfK5J/vce2uPnesFtYoLZDp9ODMviFODDlJePqr5zOMNPv7YNMqr0/DIsorD9qdRr5aLgsq14BY5qHOpUmJFNTJUMwc5wxppVQJ18TpL8igyL9yB2wF4OBTIK8uTMnurrK/Tj1juGP7znzRY6lcQgefkibQjq8pwcM5fUJFRniaQD0QqGHyYBGnWNH/32zt8+fkmS6FPJDV9KfGzHsrhyIfsHGd1PWS6OC+jtZgM3AaLXOOsiIzBbRGk52BXUmQM7iRRWrgoGcDX9G7KS7C1KN0AuV43yrUwCgEyUQwiH63q/MjbO6wfP8OfPlbl4LEaytMMUs2pOU27r0BArWq4YkPIvXcscs0u+N1PbsWYAd/+zrGfOn1q3+Mk/T8tGPwjD7yElAGDzjHEYIHxJsxsHPBfPz3O73/B8q33DNi2IUUKODWr+MKTFVpdhecrzi5XWV2tUalrmh40PeM6tjVFQmIts8lLANsx+RAY5c1Ly9Ik75ApgC0FUg3Hj6kSqLWU6EyS6ALgueY2RVDpaVOA2yvq2EfZ21Mxvh/xxw95vHKsCtJDSkmQl8aWrM1ij/jsLv6a1YQlNi92qijJlMS4lrMk8bhmd4933dXmQw9UMDqgL30CKUrnWBCLYUC3lslFmclLjd7lmhijnOOlpWNzZShmOzpWFwzHSgxn0QyDTNfHKWSZqdcCfCijjLUYWXJ8svOUpopve+2Au68dML/SpRIYVnuSB57yOXlBIQVs35Dy7fcMqFdS9h2rMjk5hxYpvniVMdVDq2goUabHmlQrAS/O1nn4qwG9RLIaNxmECmMs+/5oaPdYKxBGooQrtPd9wcwE1FVeaz2sASncDVFUVQ6ts/xkcGng5+1eBZsXDPkXAVwOAV4kenKAWzcnO5Minhq6JV5pONBQczv29rSbWrXSMvzZVxostgKoZO6JKAVjX0OikNeIrBHgl7TtcsvQSEyauymaiabiW1/f49NfHbDUDYiUpp/KzJ4UmXsjhiCSOV6GOtzaYdePKdh82C+pc2dFZa9l9l5CqijOexnkQoqhL56vujLT3cW+nK6XVlCSNNJihMUoUeo+ynzxWNOPAqpBwq5NMVqmbBeGa7YbrHWt9s4mrpKkgjuvkty0O2JhWeM3xlhqr8MkLtDUR44eZXx8YscLLzz7E/3ZRXa+ucnTh+GFE5D47gKZksXnPmSWbczS8jpbpr1iUlLemT1k34tZe+3PxKUlSnGDlIE9Ovu73OHihrszCu58Z4OcuVWJuS9i8HzcxHDkhFYuc3nipODwqQqGACF10Zw7rB4sxw+i5GoU9sFILcqQyUVJnojCySjazVINVnPF9ojdGwcsHaxiU9+xeOpkii65OMPgrlzolQnuvIwWshohUQo+wUhRWIfl2EaZbNyxJNPeo8RV9J5KizDCJfBkicjSUYaXudQxFpW6BJPLaqZESqOUodfPamFyj1/mzefZTZpZ0amRvHhknCdfDpieaHHPPbWfuO76e148ferwSW1MShQNNsRJ+paqd447rhnw0rkavqwymc3WGy4hdsT5WJthVKWjCAzFJVhNlgDOJUBf6mUcOhNi+G/KIaAdg5ONAi774OUjv/nK4C6BPNuv3stKQ3P2Vtl7rWOUivnskw2OLFbBH8oTr2RdXiy5LmGfrJEp5qKAM89ojmrxKNLsmo54+x09nnm1BsYjSZ0W99Is1klHpZIouuDtEBVZ4OnmCYphsJm/ltnrrCHYyPxw5z7NVgwpMlY3+bW2BTEVQM5+f7FFSvZZhtfVsbmSkrhYBbPsqciMjNIWK8N2xqHtrKQl8GM6UYtHXq2xd8MK994TvyUahBtMmp7Uqz2D0Jazyyl//JjlSy9XuTDrMVO3VP3hthYFxkvv5RpgrrX1hhdbXHTxR5ibUa09lCn5ybkY2AWbK1Fqwi2BO5tPONy2g4uBrYcDgooRb9pkIE+cPFEx1VrEk4cUf/qVOv2BDzWNlgJPjEqTtZ//a830KyuVEf29xjIs++JxohlraN59z4AHvtrj6UM+tu7RTwN8QXGjqeL3l9PlObiHIC87zC74zG4w5dg8lU6PmxJr50G9yYJLaUShw8VaQpP5dbej5DUydq9kOhRDnFR2g9qR6WV5un/tqZTCUgk89mwa8A/f2yOQPTbMhPh+iiBGV3WMFhGbxi1719XoDjy2TppiBNfaaVPlU1UGfBnIxfs1TkL+d7gI6OKim0Xky16xGmQ3kSrt3pDtGKFL4B6CPC+bdZ3++QhlnW3CpNUo0L2Crd2hlAswfT8ijlIeeKLGq6dr4HkIqTJQZXNDSsGlkGtu5JHvPjyRBWuTD4gvb9k3LEYyJbswijRXbkt462u6vHSySpj4pNKjbxR+yprPknvhrGFw92zXfBZUfrMZjBJFeYWVAqtA2qEeL1ZUCdKUZhka1rC2G96Za3LEEPSI0mDPkpXofp4ThB05hxeRA2QSy2KpkaZwYrHPzDafylhCr2/Rf/xnn2CQaHZOr/C9bx3w6skqZ2ah1U2JYjPcK6c8v6T8QpR/eOnH6E1AEXQNWa4sTUQB7iGLD3cgGEqTklVYMHYO8OHk1EKiZMztGNsWTK2L5+FrLwsutYoJ/Ij9pwRf+GqNXt+HuueC66KSMY81LpHFLK1QpYW1qEVx6BJrBsmvSfiUCrCi2KPRiHjrnSGffmTAS8cD0D4DI/EzLa4MqHTIfEKASDOwCOGGBJYvmho6OW6MQyZdpGPzfFXJJaixDuzSDBNtwsDQVclWEFOqcMzaFYeklr+3JSitPUsXI7pcYZ5vaJ1aiGK3weyZuYSXT0p64hF6nSdpdy361OkVBpFEhT0uW9dnw7RHpz8GQhLFJqs2c1+8nGbO++qKD2gp2Kj4e+VPVdzB7sUQ7BfLkiHA1zK409vlbKZSWUIpqyh07VzZa12eD74G3Nnh5VNoswJ/rRJ36BjPi0lsyv2PV3l0fxUqGqRraPZKJbwjpbHlo/zmUtesVBde2HZm2Iyc2nyuyRDo4cDjddf0ePtre7xyqkKSeFih6AuNl1J8JpEOWXz4ES7N5OUh9kpllqF0bO7eC6QRhQ4vzIOc0fPrlYM6l6hrpGmBAVtmx2wqWoGrNbNUSk1gw58N/fskhSiG1U7CbCsCH3zVwfQNRAIdRgESybGzcOCYZaLus2XGjS7zPVHsmjU6zd/95nyKfx7RFvvqmNFNo4Z3Xn6vioskyqiTIoYMXnZNxOgJLge1KtuxYAj00qGHm6DmgPZKoM6dE+eYuGelYnwv5sWTko891AB8kB5CqKKLSGUbqZazruXvUbqd1wCsTAJl5i5pcCswqWvdc2WlqkjfW6t53xv6fPGJAc8ec5MEYqPopSIr+MpAl2asXVLcZeVNVpeOGgVVplgyUFmMzPbzya9zrr2lk8ZSZKyeE5Qpr2DluZJDpitwUZoJP7rB7+jrISFYyttJ5hsEN6qSd9wpadRD6hUfITS1ikXfc20VJSWdnmJuUaC127FX66FHO1q/MLyr8q3kij0tbTYHunSUl9+RZaj4wmvZW2RW0tB6ygFezMkrgzxrTRtuNmUzsOcD8IfgHmHt0nPeWJtLFaUSPC8hThMefrrKy0erbuiidMGlL4ZdRSOlBXKN9fk1Ft6hfsyBLobSoCxTSludGJU5KqkmjDyu3j3gdbc5Fu+njsVD4TMwoFMxDPxSO6J7hxLl4lV4BEgSrLJIK1AWl/20AmGFmytoRSFVrBhq84sSeSNW5ZoVv1ybXtqCMLXDwfk2I0vDGtJcsxtIHMO5WR8pPAZJldR6CCxa+T2MkUxPDbhuTxuTVjm/WGEQDu2jkQq4MtjLG4Iat1y4RtZ8X3lTYvOLRdXQQREj1mEB9JE0P8XeO8XuxXkyaaThYbh1iVJrwF0ail+4JypFlaZw5RLF1zFHLgh+94EGYexBzcvkCUVrmirvElx2ToYR1deWKHYU6GWZMtzSJQf5Wi2uqQeS739rj/sfrXPonLv5UqPopcpVGaZZ8sdpAkSaWXRrVpJcBZcBLgsAOUlorQsmrXQbVVkpHMBNaaW1eZC5Jthm+LwW4Dm4EwNparPh+BaTDqVxXjNvrXWEmr8v3ZzGuha2F45ClMRctdsyPeETJxZ97Y3fs/7EyVf/6cHDX2Cp08ZD0Kx41Kvy4otRsrSsGSYE8p1t40QQJ658MUnJJinZAuQjD5FPZConRoYsWK7MW1tkJUu1H6pg7xKwZR5cjoI7n+031NvZa2mG2jsLLiOb8MmH6rx4pOrafYRGCZe51FkNdrm5uCxTEFzEWpd8jGjwoVWYt3RZYxywR0AuMUYTDTxu3NPn29/Q5T99xKdvNBhNLCR942IEaTINng41MWucldxByQNerPteVrlVRVmwmfdt7RD8ObilzcjIllYxGJEpl8oHFNu0pw7cSeJ2bE4S1+DgxnJn2Mk2ns2Lw2y2zBSRhAWpLJdtj0G1WT/e53V3vvmf7t55zY/qZ/cfHD97YeFtjz9jmajPsHU64IY9kulxl7aWYu1FKG0glTO3cd09USwIY4mM3Njf7JSSClFqOM4XbJEFmGUNvrY0dm0duB3R3gXQS5JElbS3KnZ6KG1EpewaSZJXCqYFuD0dc/i85I++XMPNX3HsXXTuF8ksRsYLD5s3RgNNUX4zEoSXC67KtSHDuYIu8MyAbSUmVaQq0+Kp5v339vjUwzUOnPVARlghGaQeGlGkz52Tkp3/NE/85Mxdkk7WvbfYIeYLRs9Y2jrZUuhu636HNZk/nt0n5WtqxMWLWL4Tskktcb4FeZy6qQ2x69xJUydXLtpikmHs57aDh6kxxdXbNVvWC6r+MhvHz76NOB3XFRWzrgE37Www3gjYMAUzEwnj9Qjfc/svl7caMaUSz3yvnSQVxIlkECnUwNUd53rKGncm8p0cSnHGSHq+nMEsp+iHDD66j8xQgw+3CsxZXK0Bt5vIarJnZwcqZVC5360SlExQGYOnKuEzj9c5cGSovaWQzvsuOmhGGWptBrOsQeESS/RQqI00II944qWJVNoIV5sihyn8KNZceVnIO1/b5dgfBUSpAqFJhaYvBDrN7DvyQDd3VMrerh2GwIU7NowJFE6aFGyeH8IOU/wCjHTAN6aU6CuSPUPHbHgzOX2dGkuSOoAPQks/NNku2RQyJc2Zu0iGZatc9k/62jU8v3pMs7hSJ9AKG1SZmVHou2/o0W33OTfTp1qJqFcTmrUom+9ts8hdFtOQhtVnuU6U2XZ4kn7oIYUmSgSDSFC+skMtNvRE1wYl5UzocHvpzI5TOaNn4C6KuYbMXQBdlZl8qLtVHkTKkjSRw6H5SqV4XszxC4r/+skmA+mRT9Aads3nBWS2+DwjVpgY/d5fU53kcUkR0+RuVDllX9bgYqQ+JTWaJPUI0oT/7b4uf/JwjWPnNag4kyoefSFQuTzJ9HgRbK4Bee7NW0DnN1z2M2kziYLNWNudgzzwzDgsY25b/CyXKXnhl1ij2Qr9b90My+7A0O65MSRRUtqNr8TcJtsdIjEQGzdOWQhLsArjyzGNsyBswqqE9esF+qEXJplbjHhu3wApU3ZuCnn363pMqRRjBJsmNUnqE8UuiLH53jqlu15Kxy690EOKOsttTZIObZ9y9hLWlMKWn9fIkjx5UE6k5JLE/dwMJYocZXA94m/nOrusv0uHdCzu6Yh2ZPjNTzc5Nx+A0pk1KIuCsrLvXbwuSZHRcgRxUYB1CRleYu+88aDco5mzliyOohlCKtJEs3km5APv6vALv+vTit3UI2sloVHONkzzz2EhLduGogSz/L/uT1Sucy0Fczs9PmR3KTPAywyAIgd+FnhnFYc21+l5laEY/nYpJVq5377atZxfFvQiSWwdHso2c77PT2xgkFhSk7B5pocwCdONlG973YDLNloGfcn2bRGNpkWva0aEHUtvtcHcquTlo5YHnrGESYxWPX72B+b4ltt61Gs+JlWuTrhgLnd55ldci6vQipMLM5ya9XHj0u3QIcm4W6x1RkosPuqa2IvlSYm1846Q3P8umFybjNFNIU2cHDEXSRWlkuJZqxgdxHzi/oDf+HiT0HhOnghVyJOiqViOfvYR3V1YY2VYXxriI3OQKGU0C9DnKXuLMabIbhYpfOO2Aq/ohB97T5fDp3x+5zNOi4MiFZKBcb2bMqVg8GEBVr7iDFP3ZbvSgTqTKjmorbvJCz0ssr8jhjszFESV2Y1yhNzcX3Itbw5LvtaMNQxG9jjdMiTajSW5sKxwAssN9RRZJhWTUpV93nnHMv/s+3ooUSOMKlT9GmEUcPK8ot2ruXHWN1/ZZeeGAfQUrxz3WGwldAew2vc4PF/lX3ww5brdZ7hsS0gau6bSo+cUJ84rpLKkSD725QbzKz5CBbRXPTY2IjZNawJPuq3vCodkCOChBBnV2qK8L0ypU0XJbIvu8paBaljspJQpSZUcxCUml8PqwNHnJPO9Y5ZX4E++XGMlzMHtAO5Jp721GJUnozdmFk+skWVr8V3W2oVUyf5gpKqvvEluqdOnqBOXEmUUxmiSVDPmp9z3xh6ferzGUkeBjMEoYpweH3ZUle3C8ge8NJO7PNAwKZTXpyiGLJ53uueGhMh99NL5kNKtSlAaAZLV6Vc82LIe7rox5lvuXsXTAxZa8CdfrpDixveduOBx7Kx2QWti2LW1y8/9YJuxygZOnJ+i03MDg+ZXFM8dGDC1OWViMkKfW5ig00pBSKYnfOo1Rb7H+JZNA667qscrJzS/9xmPxCikVjx1oMJzhysIpUH5DPo+gdBM1AQ7pgwSN+ZNZcXwSo0Gk+VMpCyDWYxKk2Jj0rL2liU5siaozIfTDMGdjrD2kLlz1h6yt1dLuP8rFZ5+uYopaW/X1JDLk9F6k2HP4Whq/qJqwq9J4qLQoLbE4uXk2qh1mAWdVqLs0BdPUg9tEm6/JuIdt/b4/c/6oCIQEisEodEoIdzkMMoywTL8aCVNXvLB83Jpm9uHpQBUilyiZD8rgdrVs2SuTDYmQsksWCzZw56CSuD+PS2b3LhLMN7soNWAt9/SR+sYrVNeOKx49pBCKUtsLc+84vHhzzW5ameDucVGFpu4Pk1rLeuaHuumAvSRMzA7a9l/wLJrq2B6QlPxDY2q4S1TEXfc0uEnf7nCh/9sCuNXQPoIT+N5Es9KAiuYHreMBYaxIGW85rppytdQMFzORzviS9afWAPyYoC8Lf6s2Ki0BG4pLTobMSZl5phIm+nqHNzp0DGRZrgbm3TuSeDFHDst+d37G8x2fLfftXSD3pVguGPDJQLi0UOMAP7PUScj+rucZ1jbjFwONm25CCt1++e4Z7f9yfp6yg+8o8vjLwccm5MgYkBhkAyELG0ilRc6ZXp85C4sl1dk/y2ymdl1oARoXOtZrr1zq1DJoRszUnMtXRZ07ZlIUsFqxwPqrHY1tUpErRIhRYIVMbdfGfO662O0SrBByO9/psr//oubufGagA3NiHrVzXdv1BS3XAl7LrfUGgZ9cq7H8nIIAtZPGjZNx0w0IyaafXZsWmZ+AZ49No5tjuFVAirKzeKuZrsmBAq3mZNvqfluEyfPc3s5FnUl2RKZF0blKfaRnXULNrcjwHeF7zmrD5l6aBGaklzJX6eF9i4SOrKku2WKzmxB348JU8N//+Mmjz5fdWum1E57S+m6dsRw/krRTJDfjHBJHV4OqnPoXGQVjmQwh65FUdMzUj5bLqN17WYmd1RSQyI1KtG87qaIH31fm5/77z5hIh1FGkmSuSrSlAN+B/KRWTfWtaRR+nwqY2JVSKysuz5jeqe9s8xpLk+K4HNU4wucpTisu3E7H4exoD9w+z+lRhBFmv7Ax/OSbGR1XEwVq1cHXL8zYmL9gCcONtixzjJdS5iow8ZpzeZ1hk3rOkxOKfR9r+vSWu0ze2bAtg09pOojZEiz2eXDD0n+9MkNnFqYpFnzqXtQ027HhEDbbLh8Ntcv24msGggCz02UUkq6bFdR4TdsRCgqAUvd2cVNUGpodWA3I8ydz+DQ0hbd3m7bbFOSKKWxv7nezmZcF8GlTPD8hIee9fjUozXCyIOqLrR3wd5lqbSGyUeLxUb1d+45XzKjWXIHcmAPpcGw+MoqCueqXCueGok0TqrkQE8STbWWcN/r+jz4aJ8vPqucbYiL0GKh6TOsfCT3xktyJWflModbysFmDmDH4Io8uHTvZRaI5iC3mQgvJ/pENsclz4AniSCKBD3hSrzctDRJECt8TzuAe142IzImTn02TvX4v//uEp95csD9T01gPJ+lZcXZZcPxC4a5WDOzzkd3ew26/T5LvRZLpxI+/7TixaM1KtUmsysB/dBnzHdb71UyYHtZA69fzNt2W4IE2VYg+dRWN3BeFIMiR0pa5cVsXdbbo1q85J7kc/FESXsXk1CHwNZqDdDVENw6A7fvxax2Lfc/XuPQhYqTJsKVxIpcewtKE6TsReAuJEvO5Dmgv7bwHsW5pUiRj5TPlqXKmsTP2npxKRXSpEijiUPN5Rti3nFXl6cP+LSiLP1qnB6PUOT7QEgyb3ykjHa45lhccie/Y/P6D5UVXOVFT1Lk9uEw4ZOn+PPVSZX+aSEMIpUk5eaI7K6zqGJXuMhTbkakl2ZbRRp8TzMIfaqBz+17Q67bGfOBb1mgVk156ajH555q0A196lXFWBCg40Rzds7nw5+bpJ9okgQqCJIuTHugAvBUmm0LknWm5xNbi3nbbtcEPxtJ7HvSaXSdjW3Qwy6bIZPbS8qRi4FeBnUpyCymnppRkMs1AWWeyCm7KNJ1yhtSfu+zVX7jkw2s0M73HmFvhtp7xBq8GOgFc4ucGf8cDV6SJWWWHNXfOZNf3Mpm8rS9MZhUYqTzxZU0xKmHVIYfe3ePo+c9fuNTmjgZgtwgCIVEmXyQRAbucmtbsbRkXl+mnYt7EYsSYviZZQb+rCbFytKNYK3b3zfvXipOQj7HUBLlJzD7/q5wzyUPfc/gxRJPq6z7SuPplF7o46kqUrqNfONQctl6yY9+i2SlZelYhVUSvf+UYnVVcdVWTaUS0O0bWt2Uds8wiFxEL8Sw/iIfx+CGWg4HyruxaNnkVk/i5zMAveE8kmLMcWb35Qmb0RkbZcAbB2plRzT4EOTDudVl5r7UnvUq23vGafAYz485Oiv51MN1ul3PBRVr2buo+R5q73KCZ+h7X/wa/uIkz5DBS6AvSZby3BJj8nqPEtBlDnSJkU6LS6mJ45RGPeHd9/R44LEqRy9kFy/zlFMh6GeZCddxk4HbDsFuS3IlB6bEfXcHdJu9F8Mun/z6FQxvEUXWc1jTMjxM9iyLDK4DtyRJXAdWFOfTgNeWXjhMGCMYRMqNXO5IOgPAxFx3nWVqKkYrv4L0fZqThht3R1ijOXBCceyMpatdNjJfiouprVJkzbylsWhaOlb3ZCFbdLY3Tg7uoU+9Rp6s0eHDbutRJh9KlNK8amWzbftGdbcsyRIpM8ckY3KtE8LY8OBTdb78QlYtKD0H8DXsXawaQgwDzNwZWqO/yx08f2El4SihjwK9XFhksuU/d1KyrUic7jZDmWIkqZCoVGKEIg41b7wh4o239znzOY/QZJkSK8EIEjQDgas4zASJM5nds10jVwp3RbosZyFRsnNTMLkFk19PMkY3FiMZrWXJB49iihXKGplVoQoS7cZe+zl2tM2mlbkSjLxEwhjo9hWHzwgOnEixImbv1i6eTgkCifaa21Z7i/0HUmG+bXJiAdDIMw1SExB45fFpwxFpWjorsBhsWZ69nYM6n0VSlialxEwhPcTFwB6RJ6U5dqNMbkrOyaj+XmsH5ql4KV2njvQTHnnW5xc/OEZq9dA5kQohpNsHKE84FYw9nL9XgFxemr3/EknMIbLzZf4imWJH5IqrwxBFAZsRQ0el0OTSeePCaJLE4Psp/+SH2hw6q3nkGYnxBWRuOEIQG0WfYZaZvGRWfg1NLkqaWo6CXIqsdzOPSayrIS8aVvKqQOmKp/LpWcYIjLbF0E8vlQ7giZPAsRIZuEXRY1uMqiuMCYsRPWb7ESmCm5qS7VuqD+zetWlVXXd1o2vC2WO1IP3R54/EfOarPnMLHkooKr7bXs/Twm2O6skiiAz8bNu94ufZpqo+2V43+RYglEak5fvnZEfZUVlT+jr0ujMGLbklw79TAnfxnBb2oCrVnahSr+XZZcEv/u4Yj79Qd5vySD8rifXQUlCVEGRxQr7BlfqaR9YAXQzJGR1GpLJ2r3z6VtEwXdL1w/dZJ1MxrfXStTnFxKii/7E8Eq30ZxampxICbXl6n89qX65ZamQxRVyUgD6sFRFr7sdSsLHW4izJLBCjq1ApkZW3No4+l6oLrSuhTbNpVyYrxy4cl1RmQahrrjHWYW3HxojXXNdhspGSpg3Onl/5gSeePXBId3pubML5Fc3xU5MEWtKoCxrVXI5Q9EXq8gyS8ng0Xe5gH74uNyCsTbUXF2QNcw/nY2SvpS1dcDeXOk/qXARwWdLfRWCZlcJmr1M/5Xc/PcaffqWOrSgQyqFTaISUI/2W+iL2/tr24MhemGsfa35cJHhGiXwoU2Ak0BzpuM9Hu2UMaDPmttYMa1SERBpFKjSyn3Lf6/u8etzjl35LEwXJiFFvrUeYtaLlta8idckZS14f7j5l1tzlJEl2XvJ6lKKAzpYyvGIo42Sp8z6fjGUMyBRSZd2WKUqgUjcSWicGpSWxEqgkH4mdbU9TnoMj3S5/zaTBRDPgph0x821FL3LWtd61ruIKxiuGmUpKreqWxUEEceLubzd/ZLhTwsiAnUx+eEXTry1+potMox2VJOWpo9LZVcV7MQR2eSxvsTdMrr3LAF+jud2ejsOkjixqTlK++EzABz9XZ5BmU/BFbg1mWUthR7T3JVPzZaDDiAYfkStiDcovqVIyizDXuZQ1uAPZ2hJaK0uZTVlyVoSbJekSKQYjDanRBJ7hh97e5YmXfL74gsxS5ZkmR2DQDuS5L56n3k1JppQTQGI0ABWlwqvyuRgmwdZsZJBVFiYZQJPUyY+kWPncbHed2GKYaplUi1nw2S9IEjgzK7B4VDyfRAQkaNeTudp19N+sGm6/NmSsntAPFa8cr7LSVkPnJJ/SWh7LoMo9kDBsFytZecoWrF1m6GG6uHQS1pyQIZsP2XsYbA4ZW2Z13ZcCeRFg6pheCP/2t8c4fi7A6uFuySPaO5dLa5I6I4DmEmAuICxG8fznCPKRsRtlDZ69NpfU4xfXphiZVRzKMosrRGoQQiMjw67NMf/sh1s88Y8DOoPsyxhZfK5UakJDAfLhR89uPJkVfmFLTgpFFaGxpetWOi9cBPbSipipAy0tceHSlapDlZtcpuWllIMsGH2lYzhwKmIQGeqB4LrLDeunFFFs0Zs3Bijl0e4u8GdPXuDYbJWpRsD6umai4Wfam5ERaCrvdyxpZq/cUVNKnY8GknndQ3nSUenyl8ZzlfdcXOuguKBzCO7hNndDv1uW6k20jklS+C//T3vvHWbZVZ15//beJ91csaurc47KQhElRAYTbHD6bGOPwwzGw+DwGLCxx9jPeAyMxzbYBg82wWBsAyIJJCGCkAjKGcUO6qzOXV3hphP2/v7YJ91bTbAHEPj7zvNc3apbraob3rPOu9611rs+WefBJwOrecsscjt5z4krBmlJdj8QlYYlwgH1JLMtFt8yXi+K5EPKSTEAURRWLJjN4m5DYSN4nnRqaUGeSLRIb0lKVbTmvM0Rr/uJOf7qYy3CJI3iCBAxGEGsFf0y95bp2ZZF8vxDKxQVM3DlEovP6fLnmX4zMHMrshxMFHlY1sqRG7nK9HtRiByOwXPtXs91yzWXnnOSsdYcuw8Z5vub8CpjODrCOe+iV1Gr1Xj0sW/y4KPX4+Fx6qRkSVUQeIJaYDf/ZgliGcADs4+qKL7kRZzMPFGUAbv48x0gpKU3yII5oyzF+rphcJe5t8xAnkVvFeMECbfc7fOBT9aZ67rgFZo3oqycFFXLRaNzeQ/Kmcvz5SQt+1iL/WrDL3gwai/C+wDQTUlZKUft1BU2oyTlIpCwMmIiFdJo268SKxqB5lde1eH+x3y+dJeCqgW2BbB9wbGW9AZeSwnY0qT24mmXqE75dwZys/i1FC+wiGZZgBgu7uV7UVW6uSKjwlIXrmVS5rJhklgBQBjFZLNJGHl02porr7iCjRvPodtZwJkeV3i+y5ZVMU8s73BqvsLkpMv0pMNI3Trp+4621cgS/ZA5qHWhbqRSnjOwEbe0Q7G44uUzdWVX1eKtMOmlrZAJB5PMQXCXd6kX9MQWdKQT8+Q+h/dc12D3SddyLFHi3uXoXe5XP1NSyVDkpgTskvadv84zHRmtHepFYYh3F12GJf/CYY3cDDViZdq4tONtIqMqwliqEhnWjcb8+qsX2HfUYdfTAuOUxXswuMRG0jPklmsZsDOQGyxdIUs0S++HGX49FLuA8muYSNsEMgkxDSI5qAeUK0GhtJEGUMsmQkcTJwZtFELUmBiFHYc6TB32Wbaywlw7wZlrK+pCsvfpKk8fGeXiLR6TI4LAT5cxZaJ6fjk5QwefWqxLl5NBu0YjfQNK0SjJNu7qM4A84+QDKkpBRwoOnkXqIrGU0t48P+bonOBP39fgM7dWMW6ZmmTRWyyK3qqc3A4lTmVwn6moU47oBQ8fBPxAoBsCO2VwDPSkmIFgUIy3ZV+nBaB0AkimUdxSFYUWdi2fKzWvuLrLXF/ypr+UHJsV4Is0ktvwarRLhJUsi8cLuuJIU3qq6VWq1ExV5AhW807SOcoM7Nn4XE4Fs6JaxsPLsnGZtpxh4ku1NafmEp4+oZgcrbBiTLJ+qaQagNDg1CsO1Url6NS4/OI1l1af76kTVANYOpoQJy7trm1fNNkuFVGqJKpSe2oO8IThjbgZwEkjtgV1akWW9jbnC0Hz5p7CNtcCTQ/clLAVykHQF/TEdWJCNDfcUeOWe6tFr4ksZMEiehdbg8t+g2XOvagttsTFKf1sOHLn4B/mIqXHBpWTUqkeqw0bOUhXyjRFZkMQQiBEmmwKgxYamZfyDVpIhFDEscZXmuc9q8tLL/P5yM12SJxyJJcCYxzCrMqZ+g4KjH0jdElRsR9Rzr/tc4bYWP060tDXglAL4vQkzd4jJcARIr0n3+tkZVqRLxdwBlqqs/Zc+/vnexCbiInRPvtmDGunW5w7yxc3OcHRftzFWbl6Hf/08X/a57r+3zw9N/78HTuP0o4FF25pc/XZE4FMEAAATUdJREFUEUsqddrdgCS9XNnCRKk0rkq0oFRokSIh8LLdmsUeFm0k/dCh23eJYweRuOlPJDrdOEA5Ix+SCIsq5mBiKcv3TkwsNJ/9aoV3fKDBoZMl3i3cot87BXfZCqLI8Ie2Jcgy0MtXmlJEz/47LKSU+cmZeOoi4JfnM4eAnbWjllUVbZe0lhPPDNhCKLQwJNrJaV8UalaMxbzpl+eY60mu/3qNKNP4SpzcSEVorIZtFyiLHORCW1vk4QtUpvLEWtBLBJ1E0E0MYZRgIg3pCpLsMxdKoDyJkAJH2M1xnjTWQUyYtNhWWp2S/qFEC073wQ06XHNOmws2KY6f8tiwboyp0dm/efThz+278urX2B09LgIHqDiSbi/ggV0ej+6qsv/IAr/4vBjfiwCBEMP6s10xkc072l02MY4XoYRm/xGYXbBgyXt5jGByVDLa8pibr6D7gkRIktKnLUrAKvRwC2iRRWtRityqALeU1ldw70nJBz5dY8dTPtRUDmr7SSn7hkrsEqkskaQYuihH6DNSlJyaZNt7BxNKccZIXqgoZ0wuEVgz+lJ0H042GYrm2pbHtZb5BHuWjCZaIoQhwfJwadIBCeEQ9w2b18b80isWuPcRj30nZHEJkiLTAK3/StbnjUEYgTDGat5Zo+GQGpZJnH0N7dgQtftMNNpMTfUQxNmYBUJIZhYcDh7xQThEjkPPl0ilUCLdSC3soi37OYn8CqsNeK7mF57b53nne/iO4GsPQGdesbAg6IdWAnUANqzfSrVa4d5OQqezly3LFK1qwIhfod2dY6zZtY6r+cCAzpuWAs+WwBERnZ7h5nscnjyocFyHr95bYe8hF5VOmVoLCc2mdV1+8YU9LtzQx1EuYUieeKYBbJFUWOxWLCewZZqSSoIqZmZB8K6PNPjqg6nlcdpEleveQiIFpX7vxTOWGSUZkAUpovUi8JdCdf5hf6tEsxy9M3mwQPlgX0p+L/LkzpRUEymshCgHtHGZ5zBaaEQqISZCAgohNInQ0NFcfV6f1//cPP/j/ZLTXRZFcaQgNpJQFz0l2VCDwIJ+4HWXgB8lIEyf515wjF964Wm2rItti67BUk8Jew9LbrvXw3UFTxwI+MqDVRY6HgkuoXTpucoCXop8q4YvoaIME1Voz47w0JMBjVrE+EjI2k0rWbX2bKKwWwDcry1ly6bpL9191y1vv/Ss6puU0Iw2Ncsm+jSqIdWgh+tExbiXE+N4MWEY882nBGEi+fzdFb7yYIWDRz1mZz2E49KJPCLt5AOZNss2PHww4ps7TvO2X5/jWRshShSxVmlmni0ays5zXSSZZQ6ecW5hbzIdQetLw//5dJ33fbLOQpLuDhxQTWxi6aTgLmveWRQfjN5mccQuCw8lHmKnY2QO4O+A74FIfqaRtXJ/x6B0OOhGW7Z8ExmN0RKTJpqWvli6YpNPRSJsBlh3I37tVQscm5H89UdadBM5FMVtI3iMJDS2I1AZmzTKoblOmSJbirTvJDFcsW2Ov3jdadZOKXTi2xGL0hV5w9KEq86KUG7MqdkOB4/NcOuDPl+4O6CXuDyyp0LU9uh7Ln3pIKWDlIKKEqiu5O7HDQePRjRq0Gq10JX5t19xzZYvmfDpAuBnbV7GZz76h51WIPeOr9GM1WepBCGO06FaaSNUiOPaQWREwtMnDdd/PeDBXRW+ek+Nhb7HQuzRiby8MqiQeIGgokj5VFEhDGOHuZ7k5FxEu+vT6fqpfGSBjNQDF/JywSeL3iKnSCm4ZQxOwuO7Pf71SzXmI2dgQicrxw8klgMm9qXpffFtovdQoplTqjKixTC4vz3U83J9KZoPRO1cFjTpxHrWuGQjuUipipAy7dqzXJw0kmtt92QKYfIoTvqeRpGh7kf8zHM7fPHOgId2ijR4Z621MWCrpZEB1wiczMaNgnRJim1zQoDvGEYjzWRDUJGjHDvpE8WZHXbBBOwupARBwngjZulIwjnrI37tFT0WQsNt97g8uMvn+q/XOHwiIBIufmAb+OZjxf55j8MLDlVp2Li6QqRm9r7h99/eedefvbkAOEBz5U+inCqH9n2JzqnPs+OQ4Ppv1OlFDTRd/uuPH+WlV/S57gs1PvTFJk88VSfSHolju/CkkviuyO2FPUW6hcyk00C2CuqlJf1q4LB330pGfKhVitXZjtKpv0a5jG/1T5FF8Ixvi5Lm7SU88pTL6942wiO7fIybNlKJDNxZ9C4lliWPk2Hde1gePCMfz6J5DuPFCP920DaLvigief71QJWzkAalthM0WdKpsy0MIqMtIo/m2kirdKRRXAiD0Db5FGiS0HDW+oh3v+k0v/ZnozyyS2An8kU6OWxLlolRhAbccodg6f1xBPleJNcxTI9K1k9M8uQ+Ta0S57tI85UxpaHwYtrKOiB4KmayGvP/PC/ip65t85oXtPnIlwKu+0KNl1zZ4z+/PCZJqvQiuP6OgHufDHjpc8/i1S++moVOl3f9GYMAXzbVolqp8uSTVT7yyVE6vTqeBF9KGqMeq5cc4Q/+ZoR/vGkcEVQRboDjKAJpAeOnIHZTuSdfAJWCvdgNL6j6klZdkWiPYzMwriNqFQHEdtDBFJNSwyV7WS7LqwQpEhw3pm3g7z5T46EnAhI12GeSSYKUqIkzxL0HlJOcpgzSk0W2EEOgZ+jr/IHviPAz6eClqD4A9sysc1AbB5NO1qTgTvm5SSubtn1WlkBuzS2FsEUcJzactyXktS9f4M3vdFiIBbhxwcXT5qzYCCIjcIcm5UV6LrjK4LtQ8wWjTYkwHgeOwmgjoRok+G6C5yZ2L2nmeJCCfrAztBgxdN2Ibav7/MXr25y7KeJfb26y/+kxRusjCGH48UtjLt/cZmyph/TG8Ew7fytzgNcCl0bN213zW09dvm1iXbfbo9NzmGg5XHZun5UTAffvrILXJKj61FLrCE+lftmZSJ/aPDilqO06FuSeKwg8SbUiadas81WSmHT2zs5wWksEkcdDK9GVNPABaTDG9SK6Gj5wfZ3rbqnRz4HtlKK3ovA4KVUts2racPSWQ5F6iJoMdMaWuMni6uZ3ZuFmCOQD7akM8vC83jLAwU1eWxBisBCUPSaypLMM8tQIIkl5cyIMXhzx6ud0eGK/wwc+06AdCdt9ZmLseL+17ovSAk52YmU1iwwDdkbXfh1GhtkFuyMljAQVP5sp0LhK5esbB8FdTGupdCFYz/OQUnLehpA//8dx3vvpJpds85kYESx0Qhx3jBVrx59KTGV3ogtZOgf4iuXL+MKXP//Fqan6P7fXNv/g3ocWmBgJ2L5Os25Zh51PK+ajJs2qz3jFUHXMQOddphNn0+f5huF0btNLp+4DT1IJFBVfWXe0rKc488MmU1sG1ZOi0aokB6qYdmj4wE01/uf7mhyf9ey7m1cr3Tx6i1Q18UTBFTOfE1UCr6R0PwBY8qRyWFEZiNqLxe/vCuSLpMFSVM/ek6LCmdlRm7wRy3LzEqhFUQQSwtIVoWUK7DQRFsbSNgwCh8gYpsYi3vLLc2AEH7yhzkKcnu0mm8x3iY2wgwnpc0mnihF5wCh8CsNY0+lJpLTOxNZqW6TDMKVdpaooHpY7T+1crcYPPZRQ+HKOlcv77NxnaFYitq1RVKs9tDuOkdV/vv/+r3/xqqt/bDHAAfaecpFO5aZ2j5dtX6POXTXVZdvaGXYcXuDtHxuj3WmwsqVp+NYTpRzpspG+bLWcndgR+Xymm079BJ6iEthpIc/JTH0ysKSRJT1h8umWtBo6LAmqIOb6z1f4s/c1OXo6c6QanK+0rbAiT3SdUnKZDdGWWzjzSC3NYnCXgM0Q+O3j3wXx/nZAL0fsEiXJwvxiHbwAeQH0wWFlkUdzOfj8jeXhAkhK14ywD0tbFuSn5iX/fFP6AWX940aSGIfQCLyU++vsapOflCbV4SGKNL1Qo6RCkFlAC+JEEyciHVqXubdkVoPI38a0PcRzPXqhy2hD8Ns/Pcef/bPi7t0jLPQNq6YDzt3OQ9s3JDfNL0QD76kqf/PZj3+I3/iZ8QMTzeiilVOz54+NHuGm+zQf/mKTp/aNsGoEJuuGZhVqge029DPvE2XvM0B7rkgpifVKCTyB7ysCX1HxJRUfAg8Cz+B7Gq+8lNUp1mk7zuDuHLuNIcQPYnYfdnjbB1s8+GQ1XfHnFuBOo7itkFGqjBUOAVn1cqDPIb0NmO+nfctKUrJ4Lu8QKpbT2o5DMfiYzOyD02hapkBD42t50Eh/b/ZvB+2lh3MDU8obSiffwBVHpMpJAZ7h81CkkzpGC1qthEqQcOfDLjOnVVHKT4tlApG3OJQbowoPHKtbZ+sfRVlbzZNfSoZGdlWL3eosrd98qOj1Fb2+Q7dvl2+Fkc+qSdi4ootwejy0J2Gu4xMm9Rtv/NrTf/uan/0vA6/JGXqN1EZWoqTglnt73PtEyJO7a1Qcl7NXQCOwFMN17BNPtJWZwti2LhqKCJ5N3bupnYTnSTxXEXgSP53b9Nx0tcjAEHF5TG0woVQySZezxjx1WPHf/67FrQ98C3BLJ9e7fVEG95k9vstgWJxcDlYoz9RJWEbLQKQs/3/lUF36Oo/KlHYZDRR5iqhtebgoUZWif5w0igszxMVTKZE0ii++yJSTCttHIrqGa84L+ZNfn+UP3yPYczSNEiKyyaYQhEbgG9J9OsWmtCRdLBUnhig2hJE1YhWioKBJ7tBliLXB1emAQzrYnCR2HU4Y2SuBFBYvM/Mep+Z8JlpdfvWF8zxr4xwHTrZw6iswRjN8LAL4BRe9AKWc8PjMSe68r8u68YCJlqDqCzxPpX4o9kMNY8NCO2ahmxBml4TUWsJy75JHSjqo7HvYm2usJYBTdogtj58NZtNZgclzI/adEPzRe1tc9+UGoXTBycDtps1Ug+DO9+oMJJSDO9OzPhM5DGgWA33RoMPAY+Lfy1AKzJeLO1jgZiuXioasspJSlMfFUBk/498mi5ZCgM66vZV9/rp03qXV5DixjO/V1/ZIzCx/+G7J/hPFZUcLRV8IfA1eyskTY3KAJ4khSkDFOh0czyRVlb6e9ITUBR3TOh1DA8JIMteRzLUhiu3TtDYSEt9THD7pM9GqUXHnUd40L3/ec8I4ifmD7wTwSm0CGHvj8umtW6+9oHd1pxPhuzKXyIr5S/vu7zkEM/P2DXUycDvCmgDl4FYpXbFD7H6aYHiuxktpSb43p7xLZ2C1X4Tnhhw8CW/+2xafvKVOqFxQbhG9ZVGpdIdpiUjNhjKAnwHMad/nGUE9APbB9qnB35Gi/bsQUEqIHpQCM1BT5rZnqGzaf5sVg0ypSWvQnTarcoJVULSUdnAhk/pkmT+LUkXVat4/9dwejjzN7/3tCPtPZnxcEQuPnhZ4iZWHYwmJFGnkLm3BS6vQxQiczE9WbcTAlcoC2ToyzC4k7DmUANmKSDvRkw8yK0VQWcr287bddtamVW88fOz0ord2EcCFGOfBe2+cV6q+Y/Wy5IoknlVjdcVC1yeKUzXC1dSrEfXqAvtPSE7M1mlW7Rmm0sTSglulVm4it5PwvMxOwkZw1005d759OCm5UWVOVNag/thpzVve0+KTtzQIHY/C7sHL+7tlGrF9UciBqgxuBqfki8x/sMBD/jGQqydnqlQOnwD/1qM8IJA/ZgYBPZB0UgK2ybTvVEHB9okU0/CmFLVt4qyNRGqdgrzU120Kfpx/DZhY4JqIV13bJdbwpr+RHJm1ybsWil7i5A1RTkLe4qpURlHS1SUZyPO/KEuSaOqVKEGnU2KtVp8dT7e576mApu/QqNg6ihA2os/3DSO1kMkJL2nUGzuu/8Kt86940XO+M8CzI+yffp3jhRfd/djceSuXJFy2rUavHyCEoVHrU6vM8/GvGz729UnGPahXUu6trAmQm/sUipxz+65Jb+kwhavxUlPFYp12BnKbULpOhOf1EV7EP9xQ57ovNQgd34JapeAW1m4tG1xwUz0+XzkiyvTEDEiAZUCXATrQb4IY4NVFhB/K2MrUpfTwt0J2WQMvA37g+5yenIGrp63Feckl+7flSC6Ke50PL9hIjtAWaEak5pnSltFL/F2lE8Yu8JPP67Bjr8PbP+gQp1QlFoKOVrgZuJM0AY/LQ+akDiwSk/EhjNXW83qHTdpdx7bhVoOYH79qlmPteT552xJankOrYqvc8yFccs4sa5doTneXfHNufu51rWbrjG+zPNOD5z3rJQRuL1mxbLsJnFEe3F3D9yJqlT5T4/OMt45z/V193vWpMeJeQNWjUFLcNHp/W3CXKEoKdNeN8dwEz4nT/oQYN6Uljhvxpbt8PvqlJn3lg/KsK6j0EdLBkZKKhKqyXWZ+1h4gC3oiS2AXItO5zWAkXpRALi70lI8yZRmQFCmBf/jMOQOQByJzRiuGHh9OJgfdsErfl6jJwADz8Exn2k6bJMVSqzix+zejxK5FiWKXOHaJE48o9nAil5++tstzL51HRH2I+6AjwsTQTgS9WNBPBGG6DDiMSRcD23wtjLQVJSKd3hLC0NCPIIxsISiKBXEk6fYdArfGb/54h1dccZjj7ZBDpyXzPUEnhnPWaaJonFWrzjEzs3Fypuj9bSP4qs0/ThSFTD10nPM27uTIiRZLxjr43jwf+xr8+ceWQlRj+ZimHkDgW0kwc72ybldD4PZ0+nWC72r8VA70cpNzS0U8xy5j9b0+nt/nxjs93vi34zy+rwZ+CnDpItPV2r4c8jMZ8hAcVkYGuLcYAmYJ1MNa9/DPBzoJS7+s4PRn5uLD4M7+hzO2yJpixV+uMhszBPz0b2d6eda3OdCBWPxdDemEjo3swlg/QSF1usE4nc6XkrIxpkGwdU2f//36Wd4o4cY7LJ/WQtBJPJSQViAQWduDKOZx02KJncS1kbwQjNJILuzAsask8x2Xo6fqLJ/U/M6rTiE4wsduW0pde6wegZtun+CFl462X/ycCz7q+RXe8C1wrL7F47zpLW9DoyIdHr5mx479wVynxvIlbb54f8iff2wKojprxjVjdWhWJbWqpJrq3GW1xOrcBbg9z4I78BJ8L0nBnuB7drDCdyM8LyTwelQqfT53h8/vvWecx/bXwA/ACRDKw1WSqoKqMmnHorEutrJUqSzry2eQAxfpy2Jx6T7TwMt6eFHSF7kOXujcFHp3poVnSZHIHl88Eme/Lv/usj4uBp+7LP2b8uRR7gZWol/DhZP8bBJ5xB+c67SgpgRqO0powWyMYOl4wvmb+hw4Cjv2KhACIywnl2S7gDJNvrwIdoAELjrdy6W1bMNcGClaNcXFWxc4Np9w6FiFc9e4jDU1Z59z/pG5+ZlfuPRZF0ffAsbfOoKPNgS9+cf+ZeumDX909z0PtZY12sx2u3zqG010v8amqYTRhqBRlVTT0rsFtrDJpGPtJjI6kkVu+7U1NffcOL1F6S3EdUMCr4/v9/js7S6//3djPLq3noLbRyiHQIqUipQSSTnIrYej5Rmj9ZBOXT7OSFconxgZLREDSeiZm66+tXS4SB0pP16O0lBw9nJJv8TRy78zt0DOI38mzdmf24BaPFZ0P2b2alam1VqilQW9yfi6EWxZ1eN/vnYOIwQ33GFffATM46brCsk5eAHlon889Z9ITx5t7S+0sRvk0s3ZYeTSDwVRrFi/HH7i8gUe393hxJzLhdvrTE1vpVJt8u0O59v90K8v7bud9mvXrZ38+I1f3Veb6wecON7irBWGyZaiUVNUA5U2z6TFHYe0KkmqlKSRuwRu34vxc3DHObi9lJb4fo/P3+2mkbsOQQUcHyWdPGr76axeFrGz5HHwcl/6UM8ErjOdCGfg2uUEckBJOcNJUDDy8pn1rdBtf15WUgpADzdUZT3gpH0nZvHzN4v/pDjjn7Vr2Ysel2J7PSLdqSllDnKVrS9M7eIylWXLqi5vf+0sWsNNd9k3LxIwh5v+4XJ4KUTIQSsMg9EanVh5MY6t12CnL2j3BO2eS6en6IeK6TGX//aqOebbM4TyqrY24rWTS6b6/26AL8y1dWt04z2XXSrmntj5SO32h302TLlMjUmaNUWtIgl8O/2c9W4omXo5OyYvv/t5QplRkhgvBbnvRSk1CQn8Hp7X5eZ7HH73b8d5fF8jB7enFLWUjvjK5BPYuc2aLKK0gdR/OnUrzT7I7ANOI1jeJ3QGPOdfCzEI3jMknGfuPBw2/Rn8Q9nfPpPfyeIJ+6KSmf+/ZWRnrphlyOcnX1ndLv4fgxiw7Mi8S/LSvzDWFVdqnJJFs3HyjiGMgU0re/yv35jFGPjiPYIECI1g3u50Szl3OXKTKz22HVjnTrIqgX6kUzpn+bjvSWYrktMLAfMdh2ZN8vh+wcte+ty5NavW3dPuzC0uX363AK/Wp5DSPdHu6lefte2KW8PuQ26t4uJ7gmbVUK1EeK7J103EiX2jpczsko2VAT1b0PG9JP2+ALfnhXiujdqe1+XWBxW//a5xnjzUgEoFoQI8Jak7xkbulG/nLrYlvppZv2kjrA91Qm60XgZGWecuqxdnKrcvAnEZ9Bm/FBlNGRh5GKhyln+ZGfpbOU5hMLoxCPRyhC+/niHmUqJiQ+N2ooioJt1ylikpOi8Gpfy55GCgtU73xqcnQsqRswR24/Ief/H6WV7/V4JbH4AEQV8EzAmVdi5qBlakkF2BsqmkdLQunTyPE0MYpdVUF6qBpFFVHDomkKrKWedcECmRvHrpZP1EP6x+Owh/e4Ar5TF3ag9rV284VHF7T8n+o5vb7ZCRhmZipIPnhswsgKc8Ts7WWeg4qXaq06kOXZIDM86dJpRuhJ+Cu+L38P0uX7rf4TffOc6OQ03wKwjHp1ICd7bVLQd4yRQmS7QMoNPeiCiNH0kK8sQUwNakzNj25p75KCWjA0A/E+hhAPS5fv4tfncO3u82ig/x8MIk6czkK7fJy7sxTREAcpDbZU9RXPKmoUhUbauEJHE0TkZTnFRZyQCfvvL1y7r8zW+e5r+903DLfbZDsU+FWeNg8ne83AFJXogyBhJt+1UAFrqGk22NcjWnjwl8JZlsJtQDg1tv8JypLU+tmF596PEn97Nty+pvC3DFdzj+4Pd/h8ceuXNWG/8hxzH/SSU76MZ9Zjpz7DnW472fFYw3QiR1tFG4SpcSS8u7Pa+slMT4bpjSkj61ahfP73HLAw5veOcEOw41MUEV6fhUlaTp2N7zwLGTIr6TrS5MeX7qguw62ZIsW0UT2EJdogVRkjXpi7w0XI7Gw5XMRQpG3m0o8maysm96vspbFt2DWVdhvkWsFO3F0IkzIFkO05zSiZJ3KsqiVXlg3XmpWU2VDJrye1UYoNrebEUYK8JI0Y8UUaxSg3mJTqzzmCm5jhXUJD2DTXFqay2YHNVcuq3HE/sNew/a/zdRisTYVo9suxtpgpvTyVTmFILUSVaycsUCv/qK45xaiHCDBCMFJ04nPPfyc1g1PfoTO3fvfnhqapq/+eu//PdHcIBaaxXdbocgqBze9YT62q7dj1755fs67H56BQsdg44NX7xDcv5mn+VLNBUvpSVpM/tA5HbjNGqH+F6fRrXLkbmIOx7xeOv7xtlxsIEJKijHp6qg4WgqKZh9ZfL1KF5m15z1J5QsvUiBHUo7pNuNrKtSL0477bAANQZIlRedUdjSJXS4LJ+rJxkwSyAd3tMz/NiZVJTsgxVD0bnsJiuHI/jQJM+iAJ7yGOvxna350PkOo8xjRqdjaP3IEMcybUW1UZlULi02akicxPYKuSkXN44seHsJ9AbB+mU93vnfZnnr+zR3PZKw/7ShH1SYxR2gUoNjd/ZRKWwtZcWUx4XbWixrKn7jZYb5juTxAxGP7B3ngnO3fe3aqy873O12qVa/PT35rgAOUKlUefzRO3bVqo13ieDCK0erd3LRJs0Te6ARSFYs8agGdkrD9wtHK1dp3HQGz1KSgpY0a132Ho14+4eqfPbOEY4v1DCVKo5yqTlQV4aKYwiyaK1SdUZlW9tEsVEi9Y3OuTgQxYZeDMfnBTN9gVaQucj6xqowQlDa3jvIZ/PImvPXwQic9XoXxaOSzp1HZTFAWaCgGDDgZzlAVWxXYLYArOxklRVviiebTeQzxLczXd9usysGe6XUCAyOCvFdw8nZCqfnXaK4eM3FyseMambrREo7grJGqfING5nXT8O7fmuez93d5x3/aNh5GPqVVF0ZeI+zcbsC5K5r6PQS9hz0SWKXRr3LI08Z+r2Il12zjZFW/V133nP3rssuvuS7ge53B3CA1ugGxkZG7ple0f50sOfwKx9+dC9VP2DllMfyJZKpsZjRRkgtiHAcnW92cFMpMAO37/Zo1LvsOxbxx/9Q5xO3jtCjDkGA63jUlaHuZODOBpXTxbMD6wuzXZ3F5ol8A0V63xqNmFw2y2MHQh7ZXSVRPo7jkCiRFyKUsD54+gxctpSTpXFKDNKKAWCXq6RZwacU5YcjeBa9Nam5vL3PttqdKYprk52QWcefOeMTzucvSzZ3TtoC4Xshrgp5eI/isT0uc7PWBcpOYVkFLPOCdx1BogxJonGdsuqSLAZ33kJg36mxRpefe0EP3z3OH7/XsPsI9Kswm4K8eD9sj0ykDf3YzhgIYltlxWHtcod1y+aotVayffu6Ty9duvWeXv/Udwvb7x7gy5ZNcus9O/et33zuGz5604NqaqT1si0rNGMtGG+FLBntMjW+gOPEzLcDwsixaoqy/SWea6uT9WqH/cdi3voPDT5x2yg9ZSuUnnJoOIa6MgRuti6cFOBZBC8tn812dCqRL521DV6CwBc0qoLpyZita7vMdU/y1g9U+MpDo8TU6eChRDp9YkDn+xoZZCgD9GQwWmfcPX9saHInj+6l3zUAblFEc22r12kjVFpGF0UU18I2IMns+2zFiMXH0FWn8HRUQltrPZWkrQ8htUqH2x6W/MH7J5mfHWHbMpgei6hVnXT6SuRDw0kCSQrsxGTr/rKTT+dtuOXWAp3yaaOhEghedVUf9Ene+g+Gp45qwkqVOTwU5M6yxkC3r5jt2qLdshHohSELXc2xU4pnbRvlnM31z67ecO4b4Mn9tcZZ3zXAv2OSWT4++Pd/zWt/+UWzV1644mxPHblS6lOsXx6zanqWev0EN92vOTxrmB7VRFGAkhrfiwj8kIrfp1lvc3Am5r+/t8l1Xxmnr+rgVwgch6aDjdyujdxB1sPi2DWWdgSuGIXLtyp7Ct9T+OkoXDWQ1Gsw2tBMjkSMt2I2ruhzweYFHt1rOHjURUtrApR3Hg6MXZVH2ETJeL1YfCSzvmRZ3qgGUsmBJDMbbbO0pWwpX6osDkTgDKTZ/eIrQ3kzQrHmfHC7hiOLvnrXsQHG9yIqfpe7nzD89ruX8M3dk9Q8j5prZyHFkK9h0b9SlPRJozN5HBhMNk32Go0AYaVHRwi2rQ+ZGutz/2OK2VmJVvb99yT4aS4VmpALt82ybf0CD+2TnF5w0IlBiR6V0WVMrrz2k3v3H/3k6pXP+rdA9ruP4Nmxees0MP32J3YeWNeeb/90vXqAB56a5/1faHH8eJ31SyXRJYJ1y2GsFeM4iS3guB3uesLwd58Z5eO3jhI6NYTnE6RKSc0xeTLpp1HbK68Kz7/OorbIJ4Wy9eGBBxXfUA8MtcC23vYjyVw74OwNXV55RZtv7q4xl/jEyiE2lKLSYsEtb6mFgYRyUc9IqUdlsD9l8PfllTtK9MJkLmkiHz7IOkqz7QlZ1JYl96tyr/iiapXIToC0gUolOE5EP4r4zNcaPLSjRbPlELjWQL7T1ygnezoKbVTReZi9R/nkjSyWuJaS4sGuxaJKarQkMIJXXd0DfZJ3fybmgd3QjRr0HElLaFpVOGfa4yWXN1i7fJ4ff/ZxPnhzg517Rrj0nDG2bFj/0b570dv74aF/K1z/bREc4I//+K+59PJr+lNLlt143zcPXf3k/tOrPvh5j7jbYv2kw7Ixj2bNZ6SR0Kr1GWm08fwFPvIlwWv/fIL7do0QOQ2U51NzBE3XUHNtMjkQuV2sU1ZGU1w7JZTNd/pOAWzflQS+BXc1MFQDTbWSUAtiKr6tmroqYuvqDp/6us+JOR8jXZw0imQGRZkJuyOzRVsi3X9ZrK5zZGnfpSrdpO3CG4j0JX1+EOQlsJeipEh1s0HZsBTFU7kxW0hQDEpn6z5s3pNNR1nTnATPiQi8kL1HEn77PeN0TZ2K59BwbVBxlMjdBdI/Sx6d02R58OQvEkqTaX3DHTtG5L0rWtuCz1lrY151zQKn5hIe3+UR4tH0YLQGS0ZdXFUliatMj7o8++w5HKXYsGry61u3X/KT0ew3F6694oJ/M8D/zREc4MUvfAF33vtg5wUveGH4l+89zVR1jq1rHKoViaMcGtWEahAx0uji+wv80xcUf/jBSU5360jXx1eKqsKW3p2Uhii7NNZTw/p2FsELi4HyrGfWc+67xaynn0qUSpWKG9qCT6BtRocmQQ7Kb4NNJYukvzyZHJq2l6l2q6RgeDo+A7U2aWUVctVg2J7OmHSDcAYxYaO49fvOtjmU22AHK5uDEMyes04LNwkIiHRqIZ0+r0RDlBj6Mago857JzrC0L9BkFCWrDBcLXYsOgSEfRV1QHTtcLPFch6rX509+eR4l4J++qDjZqTJeNyx0NCdOw+yCZP+RFptXOzznQpe1W18SIkTnvHNf9O+B6r8P4ADbNq5Ha333i6+56LKHH/hGZXq8z2P7YM1kjbFmzMRIm9OdeT5+u8fb/nkJ7bBOrWL7tyupb2FWmfQdq5BkTVqDgLZqSTbj6ToSpzQtZHm57VzMZj2zMbjMRKYoD5N+QjrtgxiUBstl9sF21lJCWbKEKDYXp5Fblfl7AfBs2jzbfGArrcaeZ6Sb2aRA5XTDpBsb0ueQLnsy6SpsnUprugTucoJsT45MoQYh0iUEpSYagx0UjpNihjJSWeOaLik/aoCHF++ZHHhfi5aHwXU0OrWCiGNFFLv0Q4+KH/D7P9fFUUf40n2THJmrMVo1rJzSrJia4dGnHDyvypUbL+5OLt18d9mx9wcG8Garwf6jc2+55uorTFXu+a2P3vRYoEydZVsTVk/Psff4HH/5iSb37xrBkx7LmykvNPY+8y70SsWbMtcuAJ6C3LER23ELtaSgL8V8Z9lfxUl1X5kPVxbHMLAHxszKkZuSHFgCbwHugpI4OZ0hd/vKABDHaQQ3ttciTnRqaSxshNUCo8rzkKmxvSC1TbASmkwdwHIlpVSdXdSE9S0Ou1zWVnkTbcEdqwLgKuXuxdWsFMkpJvzJOHmpgjPYTkBe3o8TiYwdwGe+A75b53d/us3zLjrGX103xp5jLSZHE85a73P+5tOc6G7sbdp29V9Vq9EfCDH2gwc4wKqppn74gX9968jYeHT2pnVvXjt63Dtr4ykOz83yzk82ePypFqsagoZvvY/66RiTwXYguhnI0zJ7JgNm4M5B7sohepKZC5XA7Zi8/8V1iq1vKvM1zLvaznyUgQ1nbqiS5VtZQcm3PpNXWFXJ+QsgkoIosXYK/TAhigtUZJvEjEmTgKyHJBFFBJeUiis6pwEFZSnx4VztWJx8ZtwmMdkenXSXTmJwEoGTWMoi4jTyU0TyQe6d9ZVQOpOzwlM54idWv7fcizBShJGDBmpBg7NXLvCGn2jzV9cJ7t3doBd6vPDKzeHS6SXv+Pjn7vjT//Qzr/q23YLfV4AD6NAJV0yuetsrrwnDw0cO/8mn7ujKh3aOsHC6zkVroerZFxdGsP+4JsJW1wYqkw54SpQ4d5pMuoOc23HKzlmkHYvZvcntJ6zVxOCWN5EukDUiS6HEwGKpYZAXkbs07SOLNk5ZSirL4HbT1+Q4Jl1lbiNi1il45ETM6fkYk0bo3A5B29+TWvsUnYBa2P7sVKFR2tjW0pQDD0h6ZfWC8lUqle7y1kpNYgyxEcQ67cPOjHoSkHFp0gj7/tnfpUpDFqUxOAMYubj4lBWAEAhhnYPjxOHA0Sr9yH7eFb/OxEiX179ynjufPMmTe5bqXUdW/MnF5636i6PHT4ffEYDfb4Cfd8mr2fnYp7tLp1Z/+sCM88ef/8bdTI8EPO98Bymh05dUfUGrHlHZ2+GWBwMmq2aAnmSFm7KniueWfFVS3u265CeEoxaD23XKy2mzRVVJvtMnn09LZ76yfunMOiK3QCsDvdxUJQbvVZmSOJkvdmYVbaeZso7KVj0kCCK+8rDLzClJs6pLNMzgGhsF7XPS6cklSYSlP5lUp9Mkz+jUF3DA3ao8Zpa1tJYe1wZMAlqTGIjKTlRJeouz6m7WLJY2Z6XapcmAXAJvcdj+73SxyUB7suMIWrUudz4peHxHhWZVUvEl3T4o1eD8zS4vvmCWc8861/TMuk+faHe6v/pLr/y/hef/PcABgvpqxpeN7qztbL3uNa9w39OduU+OjczyyFMBrWqNDSsTNq2exa3P8dm7p5mu2+KN72Uedhm4sygocs5dmAdlPSiLI7eTAzszDSo7Y+mcplhVRZIp25n5T9ZhV57DXDQvWeoazCVCOURP0ueUOQcEnu3LqVZipsfbJHKOwwujHJtpsNIkVH2D72VAyMqZKci1QWqD0IYkSfm/HkwwM0fewYWwg9p0WckwWqATDSRorYm0ItKCOL0qxIkhVgaVXjUGxs3SBN1eBCTGKdSerJms3KtjkHnPOYDrJlT8kLufNDz0WIUtyxQbVjqMjHT55p6YXj/gx1/yXH3Fqk2ve/LExp3jlaPfC2jy709PS8fKVedz34P9cHT7pe97/qXJ7zTHK1z/dYgjj5VLEtavmMPzTnHbwx7NQFD1oRZAxRP4TuZYVETwnHenGndhGpT6GaYRPAd2qYo3AG5VWMG5bsLn7/I4fsrJHWdV5pHCYNTOVJNiiHgw0ZS5Fl5w7myrgedo3HT+NPASqkFMvRLSqHUJ3A5JHDHXFcz3Jd0Q+pGV6KLIECU6H9vSiU1G9Rl8/7IEMZvCMbpciBmiLLlNhGTpuOHFl/Qg0mhjiFIObpPNzHItu9m/n6TPp+wzGEZJem/oh6nlQ2oRYVUZe+tHik5P0e46dLouC92A55zboWu67D6iefp4gq88XnJxj/pEjVse8X5n9bpL33fJhlPhs87Z/j0B+PckggM86/zNzJw6mFS2vXz3bP+B+dnTX26MVjtsXTuPco/zJx8JuOuRUdaNacYagnrF9giHkUkbbGy0dNLeEj+1n/C8TFmxyovKBh1UMWysVFGeVqUGo8LrMEZ6Cffs8Jmfd8CRFpwDHHtQHhxupso1binzaJ6X97PpomxNi6PtFJNn508DP8R3QxwVI3RMJza0I4GnRDpyZ22PZep4mwhBnPZ1J9oUvLsEdEcX+no5gpuhMTStswEFRbMOF2/u87EvRGBiIq3sglZtUqBnN/v3ZPo4FPq9UllnoUnpkU0+Zdrb4+qigBXFFuRSWIcrpRpcsS3iLT9/nHf86wSPHqgQJ4ZN65fznKtfOL912/m7Dx45mqyc3vS9guX3DuAAyqniB6c+e9ll5/xGlOi/2rvjxrH7n5rjxntHeGRnnbWjgqUjMD7i0Kw5BF7CoeMhJ05D4NmeDZW5Ynm2Omm1bQtwVbJFsL3KpT6Mkg9e1uSf8W9XaRa6htm2Qqe+4UqIfDOFzIYIxHBiOQR4mYE9GzDIAG5ykBejerpY1+FYpy4hEoRJCBNDL5b0E7slxFGp9Jhkzycb9LURNJGWNpRpSWKyglGJh5faWDNgZ/RE24oRrVpCrRrTThJiBxvFjZULk/zeAl2lET2rGWhpE1EpbYTOtHyByh2FtbHvQ+AnHJ2RHDgqqXiSds9uzBZijMu3zvBHr5nlhttDmtUlXPbs55yaXHnBbz60e+GzF2+pfS8h+b0FeLNp9cqTM3MfvuD8K51DJ+K3799522T79ALblmpaVYfpCZfJMYfxJpyz8TQ33xex8+kaE6m+7Dp20LTiQ9U3BL5N1hyV+XvYD3Vgr04OaINUxR77zHo5CCLuelzytXsrhNpBSFmydSvdSgWa4r5ILAvPcDEAbic92ayrQLaxwJR8FuO0kmhSsBh6iXV/ipSV5RxpZ1vtFUmkQDL5CsBEp9vTSv0zmcn8AA8/09dakCQKKRVXPSvi3E09bn+kjvYsD884+CC3T/9e2t1ojLFLik3a4KUESWL7wwFrwuRa2dJzDSONHnfvivnyfVXOXyNZaLpEkYsAun3DaCXkmvPGefazn3189YYr3qST8MNbVy37noL7ew7w7BgfbdLvdj7wky+5VjrxzJ/56iuT+49omsEIa5crpidixpoRFX+OPSdc5nqC8bqV3zzXTupXA0O9oqn4Gt/T+W70KBFEkRwY3M2oRTaqlY9tpY1GQsa0Q0kcZlsfbCdhFokXVS1LyWRmRD9MT/KCj8puJr+qZMlueYuYLZxYiQ6jiYyyryUxVr1QlnZk/DdJ/dczcKsyBy/dzNB9QVNKO+1NtrNe4TgRNS8GHWN0QmQUsRa59fG3ajzTxg6RxGmxSim7kibWmS+8wHOVHTzHUK+ErF46Ry8RPPV0wMi8pt11cZTDQphw4KjignPPPT6x7IW/t7CgPzA2NvL9gOL3Jsk80+FXqnz2pi+/z3Ebbzx3+5JTVT9g+zrBptULOG6bkUafAydjHt7lIEwmDUoCX1ILDI2qplmLGWlEjDb7TIz0mBjpU/F0Grls9MqOzORR5DOIdmuXoxKSWPPV+32Otl1wHJSwG3MLq7fFQB9WVXL1pNRIlVOjrAKY5gDZNEyWBwip856YrKEjTsv2mWVCnAE7B3E5cme3QXAnJUqSDETuweRSa9sLEsWKibrgqgt6CDeCJCHWhig1rE/yQlL2phZUTAjohXBiHk4uCE4vGGbbmvm2pt1N6PRien2d+gxKBJLzN8ZMLwk51ZGEJubJp/s8tidmfl6BO3Wq1Wq98bGHv/K+sbHvLS35gQAc4Cde+VI2rTzwoRXLlr1+5Zq1877f5dH9Xb72kEe7a3hoj6LT9RipWmuAaqCoVwSNqqZVjxlphow1uyybmGfNshOMto4RRjGn5xXdvp0Gt/OFGU8uTPQzDdx1Yto9uO8Jn07PhWwtdKnVVcmCniwaPh5YR1L+fzIObvLFW/kSJVVappR7Y+uBSqImBXiqQWtTTvIoKSdlgFuQl4E4QFtKdCXRMp/A0elEfBwrar7kwi0hjUoISUxiDKEpDWSbzHEgS/rB9yStmsL1DMc6fZ44DntnFCcXBLMdw1xbs9BJaHcT2l1o9xSz7YCa73Lu+i7VAK44R7BlXZe5TpclS5bPL5la9fr7dxz/0LOvesn3E4LfH4pSPq67fUzPdoOPrp+ciz0ZfujRbz7lb1sl6cRdbn+0go/HRFPQqDk065JWXTPajBlr9mnVu0yOtpnvLvD5BySf+/oY475gesww1rKmNNorg7vg4xbkCb4f8bm7XB7Z44Ny8rlMJ1MvRGESORytF3sSFtXHfJK9pOQUgC+1CZSGfYsLv07XfKQadKkvxHqElNUSm0QWPxPoBLQqnQiJQDul/m0t0Ubn0dsC3vZ5R7Fi+5o+z7+gyyduq6O9hFC7RLq4emQSoxQ2J6oGitGmwwVbE3565DSfvVNz+2Mj7JmpMR3bkTbQKBXn//7EaY+JkTqXbZvjvsfaHD3RYOPyHsumVvSWLR/91Z8813zi4NG+/q3vM/6+7wB/6+t/lqMnTiaVSuX2AwePzHc61zHdeNi/+S6HE8dqrB6HkbpkpK4YaxomRiImRnqMNTssHZ9jrjPP//iXOrc8sIRR12fzNDSrmmpVUtWFP0gObJXk0dtRMYKEvYc9Ts3bNePWR7ygJ4MbjsUiBaW8SKoYZignt2Wbhoz7m3QcS6PS6C1ENoRp0RNjUvVikP+WwW15tMl7TvLvTcaxS7c8WpcSzPSW6IymKJLEYawRsmY6BCLQMZF2bMEnMen+y6wD1lIyz5XUKpKJlsvGVTUu2XKCrzx8kD/+4FL2n2wSJorEaAQJSgp8X1LxHQ4ebbBsVPKiSyK+cOc869Zu7G1fMfXzt+8a/fTuIwvJr/z8z3+/4ff9BzhAc2SMQHF4bMnasy+/wL9yx+5VH6w6x6uXbomZX/AZqTuMj8DSsZDpiQ4To/M4zjz37ezxnhuafPGBJUz6HlMNTcW3bZpZe6gogS1L7Nx07UmlEvHEQcEXbq/Q6XlQdXCEwCsbBuVjX4P0YyCSl4aIByjKAMXJ6FHqP5JF7hTsg/2LNhonJpP7RF7QGU4iyzQlydWOEh3RQ6pH/lg2SylziqK1dWttNCQvvLzHDd/o8sTTAbHy6GlFVYtcDzdZGM8UJWzbxYmZGoEX82MXn6IRPM3f3djlm3vGWDjl0Y8NxiS4bkzVd6n4PrsPGdoLEVc+a1lnXo/90ste/ppPjt7yCXPlc7//4P6BAbziCIBkx0P/+0gy7378grOWOrXAvOeJ3Sdah47FNGseK5ZErJqeo149zWP7e/zrrS63PTDNqXaT8bpiSUNTC+yUjx0uyKZvMlDbDRFuuh3Cdexen2OzkiOnfbK13m5W4Mmi7JlUlNJYWma2o+SZ6YkUJp36yaJ2QZWKNeTlJJO06SnjvWnraladTClL/nhGU7TBaJM3WJWjfR7B859l4B6K5Ikk0Q5aO0yNREyOhDxxMMRon24i6SpBEBsiZfOCpHTyxImhHwraXYdTs1WESHjehfNcuv0EX35gno/cMsqOfU36sYOQMc2aIEFz5JSmUl82W1Erfv3eu9off4f6AG963a/+QMD9AwN4dmw693fY9+g7eWDXOf8yPrrGXbpm7i+OzD4xvnTiFKum59l7bIGb71N85valtHsVlHKYqBvGAk3NM7nBvueIvDTups61hWNthOtYY6F2L+GTX2nwyJ4Aqg5SpPSkvEpwIFqn0UoWwM4eFyV6ooYGfmWp+CRL9MSuHx+0TSsMTTSxUXmRJaMayTBwTYmW5Py8FMkNJXojSurKIEVJSlG823M4e02fn3hOm/t3VWlHHpF0WIgVvrSNb366lSGKs1WR0Asl3b6i03PwOxVAUA18XvqsmOeec5pP39Hh5nsb7H66TrUSc/VFLc4/77yTvWjit5eN+/8Sxft40+t+5QcJuR8swAFWb38DAIcOn/7QBuk4Z637xttuv/umyUcPtPmHzzU5frLF2hFBFGu6ke1H9tMe8XyiPhtT8zSBZ+cug9x3pW+daoOQrz+q+PydtXSXj2OrbWnULq/yXsy702JOKZoPL4otJ6WqXGga+lpIbXvryklmyq9iU5YKKQotptgUPEhBTImKlMCd0xIzyMUHOLnMR8eSdEXJiy4Jue7LXb7xiIdxFB0R4AiJI20rsx/ZXfNhrNP7dHdlbHu6e32XXt+j23cII5fnnt3jrNWz/PWnDdPTS5hefe3xH3vJ5W/WUfwh5bV+0FB7ZgCeHcunR1hYWHh/Y8sV4vis+LMbv3zj5GQl4iXPS2h3DQ/vcthzzFqvBW46BSSzFSmCim8bmWoVuzuo1ehQr3TwvR6u3+fwSc0/fq7JrkMV218rVG4TkW2AkGeM4oMJZR7Fh/69kuVEs1BTpMh2raeVVKFTa2lTyIRpsUcbkwKcfPd7OcEsEksxFM1LiWaZv5d08DNVNJM00dRaEoYu65fF/OKPzfPUUZfDx0F7mtkoQCfp1U5ab/dKX9MPNf3IIU7s75PSjgj2QsXhEzUe2iWZ7wScs97lxRf5nHPui44/61mX/14Ymvf7/jMD7mcU4AD1eh1j2u+74tmXxPNd9ZeXb//yaBIdZr7j8tBTLn3TB0/TTTwSY92qPFdQ9Q21SkKjGtFqdFk6Pkc/XuB0J8SJYuZOGv7in+r8001164Gi3PQDK6RB8a0ityjGzTLjzMETwQze58MQhYKi8gieyoQisTp4hm9j+7K1MURapqXyTPYreHlBUwpqYkqRPFmkgdtKqJUMKRqvSlp4pqZEsYPjKn7hxV0SZvjLf0qY73UQyqMb1zh4ug5IPDeh4hlq/YQwVMSJPZFdp0+o51COB3jsOChp9wyxWMrrXnPFTGX00t89ekr848rp718R54ce4ABC1Egi/eEfe+7Fpw4+tXv9N3euf8fje+50N63sc9E2w/TSOd53Y4NeFOA41pyxXrFVzomRLrVgjjse7/AvX6lz+ESANDGdhR73PqmIUDZkC4UzRE8GXKnEYvVEZUMNolyyz3pUzCJgyzNo8EomSJmklcx06Jd06MAkGK0JtSTUAj+PwiV5MC/mMNAWO8DPh9pd86rmwFT70Ia1RNk5yUgR1OBXXt7m3M0h7VkPY1wOnZjhI7eM8uCeceScQ+Am1CoJvVATxQLfSzjd6fEPN1ZZPV6lGhimxhLOP/eSaNfT4o0jSy7f3WrWbvB98X+Njx95gAMoV+q9e5767MTKX/BWho90Eq3efWDvfWKy1ZGuFyCMTdYCT9KoCpr1iImRLs36LP96a8zf3zDFqbkGCgche/zsc/bziz+2wN/fMMJ9Ox2EK3Gl9RVXYqj3O08cByflBweLByfl8y1isgRyUZoiyntQsltke1EyGxqjQccgbMtqX0NFi3zifrChyuSDAwU9SSN6AokalhQp/n02/VPqDU+0ItEJSaJwq4L7H3P5+5vqbFlt+KkrfdBVzlrd5+Ktp3n3DRH/+qWlVOYUVV/TrCf0QhdtDI6ImZ0d4fE5h3UrfX3pxeeZDeu2/NcXvWDbB2dmDodLJjc+07ACfkgADrBm7ToOH3w8XLNy8sPCrL01DDs/eeDQyf8h9B7GagpXS2pVxWhTMzXWY6Qxy3Vfi3jnpyYRcZ0tS2C0bti2TvHaVwW4Xp+b74q470mJoyQVaYs7QpqBJq3ytE5m9pMNE5e7C4UoEsuiX3wxTcms05xcrrSLtWKh6RsHX2gcQnQMGoWWip52CbUhGCreZCOUuQdJ3ho7yMOTBBIl0kYtkSss+VBwOpiXle3jxEElCUJK9p90uelrS7jxG1V6cw5nrXUYa/ZZvmSO33zFDHF8nBu+voTarKBeTVjoOMzO+6DqTI4YLty6lEZr4r8vXbr245X61IGnjxwMzz176zMNp/z4oQE4wPSKrQDd6z973Y6DC9vfdun5B727Hw/esnHZ02puNqZRMaxY0mHl0pOcas/z+ftGEXGDbdOGqVHB5KjH+uU+8wvjVKsR2jigHBqOoO5oVGrlkV3is4bEoohTTMlLKZCqiODlCmZucEnh5Jpz8Dx6x/huHyP6fOMRlw/c2OL0guB3fnme2YUF3n9DnXufgG4kCaWiJwXVrKgzZOqT0XadgbzcjJUIEml1a6WsZp5P+5D1lBRrtONEpWNkhiR2wCQIL2DE8XnqgMIRHkvHXdo9l02rBC++cJZvPDDPnpNNPC9h6XjC0VOGyIxy7WVLk2606k9f8zNTb/vyrUeSrZuueqYhtOj4oQJ4drz8Za/m0fs/nmy/4Of+6MSJU87td335d2792gN+q9Xmnp1t+knIdd8IeODJUc5bYVi9RDE56jLalLRqce41jeMSuC4TgabqaPqxYLZvk01H2ago8n6SwnrZzlvKlLak/FwwxMPLFhOUijw2cnten9D0+eDnqrz1/WPMzbhctLnNimULvHJjwssvn+FPPhjxgRsE87FHT/m2H6TMuSk7RWX36SRNqTclSbAgjwWxMmmRxvJuIQzKsXUCpQydrkcYe0SuotcLSeKu3XsmDPOdmMMnJL3QodsPEIxy4YYer/uJk3z0qy7nrIyZ7wqarTpLVpzbv/iiF/zv1sjYHxnxCf7Lf/qpZxo2Zzx+KAEOsP2Cn2R+rs3D+2bfsvXsa+XK5esu++KXPykPHAsuCyOcvUcEZ61MmB71OGejoBIk9ENB4CcEXsipBcPh2QpjdcFUPaFeEYyN9TnSi3hwZw0nEtQ8+7eyaRS3ZA/nqJJUmE/Xl20lckOGko9g5sVt17O85/qAt35oKZ2kgawrhC+JOn0WZiVKJPzBazoYZnj39QGRdgnzyGuKllXIbdrKRqE6c8gSBqEFxKRldWtOmiSWe0tpCNwY1+3w4C7B6fkak80qjWpINUiYbNp25M5chV4fun3N6af7HDmp8F0fZINl44Kzl2ueffZ4fGpB3HHBJa/SmzavuEPKmbe0F9rU6s+sUvLtjh9agAM0mvkb93sP3H09L732ysbcwsx7n9i986de6B6VR48vMN6osmXtDA/scEG3qPoJrtvlc7d6PL67yfZpzZIRwfS4x/Mv7bN6xTFe+9cj7Nw7zljF5C2h+QpyT+EqkVcuhzcmZJJhvrGBosMkq3L6bsyOA4a/uG6cbtRivO7ScAyTjSZHjgWMVCICr8dYS/KGV7f50gPzPHm4SuS5ObCH9/gYTNHnnfLwzCPQDidnE+wCR0mCOJ18koZapc/Op7u8+R8mWTdR4QUX+iyfVDhKc9aaBV5+2SwfuKlBJ1TUAkGt3ueBXQmteo2DMy79aJp1q5bojtx6XWvJ2H++75Hj81u3/dtsjJ+p44ca4OXj/ItfztzJR+c9f+PrV69avevm2x46S7pzr2y5O7jlwYSjx5pcuAkmR9ucWOjwqdsnmKgrRmua8ZbL8imF1lVGqlXOXbPAo3tGMZBr6xVfUa0oAs8OJBceJPbvi5IOLoTlD3YKPRvyTf+d1ASVkM/dFXB6oUmr4jJd1SxpGlaM+Bw5XqPm95gcVSilGalFvOLSBd7+z2PEFc9GXYo15Nn6k3LUzjooRYr+ODYkWiMjgU4stQo8u9ZRCoPjhDy8T3F6voU7AQePJtYIMwg4Odvk5Zed4DO3z3NktsWGvuaCtS5BpcOufZpXbl+P69c+PbHs0kdWrFz+zl63N3/2lnXPNBy+6+NHBuAAzfHtACd27Dr0h1dcedZqGT7CPQ+Pv/LhfTs5f+MsK5bECDXL+z7X5PCJJutHDY2qZLTpMN6CVj0ijh1edtk8n7szAjxcxxD4ilpF0apJ6hXbATgzJ+j2CndbKVKzItfydm0EJrYcPYpNOuQLrqM5dlpz1446MQEjvqEZaFo1e4Xo9CWnFzwCP6biR9QrARds6jIx1qebVPOcoLymBVF0+ElhR9uEELnNRruTMLsQIwREFQXCwfft7lJjYL5ruP6OOo6SzLU1p+YTRuYUow2H2YUKy5ZU+bUXtXnvZ132HqnSCTXXPGuCC87ZzOjE2Z++9qptvzk3s7CvNfa9n5n8fh8/UgDPjk0blhOHR/cpd/PvHpqpfPhX1mx7w6GDj15V4SE+dZuPSkZYPWGTSc+RjDQEK6c6uG6b2QWf5eMuvhvjKI+KL6lXFSMNyXgrYWIkJEy63HyPZKpZYaThEPgKpayDbTVIEALmOw7dviBIrK9gFNvBAs/R7NgrefTJOoEjqXuaipd1QdqEsBcKun2Hbt+lF/qcs6nN+pV9HtpJ7rXiu4Kqb01Gu31Dt68zv8v8JPN9GGsaztpwkg9/wSPpu4w3rc2a7zq0atb0Mozh4LEqYzVD32gOHo8Zazr0YwgjwcGjVUwc8JKLeuw46POcK7dy1tZtX10x5b4zdDY+fODp/r5Vy3/0wA0/ogAHcLwpgF3GmF3AI4dPRNPnn7fy/5zsH9jg7HxAbe/EHJt3UK5k2bhGiw6f+YZk64o661Z2kQYCF2oVyUhDMjGSsGS0z7LJBebCU+w8thSXmGpgnbBcx1CrxEy0+iz0Qu58tEnNdxlpSJSyq1MSLRHCWN+/xKPmQCVdu+I6qVusEUSxpB8qen2XMPJwpYMrEoTRKGEjd+AJ6jVFq66oV/vc8rCm35FMNAyBZ31kfFcw0YpYPd3j0JwhXPDQOklPAkGrruiFiiaCkZrH9iWwcV2fW+9THDnpsWWN5sTpkBOzPsdnFRedf1Vy8bPX7zpvnfgvG7ZedhjYkdGgH9XjRxbg2ZF+ADuM2btDa/3Cc88eX75120XXPXDfV5sPPHawNhr0aNYNR04Z9hyqsmbSQaQT4PUARhoOS8cNq5e2adXtRor3flzS66l8VlIK8F1NoxIzNT7LB/8l4YmnAs5eIwCXwJdEUTEfKh2JcB2CJNszZI01LbWxcl4YSfqRoh86COkSJ6lHorTmopVA0qo5LF8iOHdjj5ElM/yvDy8lcKFesY1admW6pupLfvZ5M/yvf26gpKATWbOjZk2y0HFphh7GGAJPsWbKY2xMMzsb89Qhg3JGkJW17V/6+WfPzbf1q4Pm0kNayn0/6sDOjh95gGeHEGuY75h96zatPdDrtLdHEZeefY7+++NHnoiPHd4xppP5xvSYYKTe44v3aaS2l/CxpmT9ijkSM8POQw3OrUgOHvdxhSj0cQcCT9Oo9/H9OQ7MNJnrCmbnY5p1OwAdxtZkJ4wMN99Tod13ma7alSyea/mykHb7WBRDP8z0ZpexlsPzL+rz6H6NxKo4gSep1yRjjZhmLWbFWJ9O0ud0N2CsntmqkcqBDsvH7Xa69csTjs+H7DkSMNZ0mF1wWK59XnDBKXbt8Th6yqVWCdm2enL+7G2bT52zfYPjOPLXmqPr7tywsTELiRbiPwwsvr9T9T/oo1EVBK7Qx07Mz7RGl93cbDY33XHLx9Zf9byf+9NZcdWja1YufbCP7N328DSBkozUJZOjMacWOnz0liqP7GpijMTzHGoe+F5m4Wx7z8eaXW64S/Dg7ioLfclCz9DtJYSR9eQzWJ+Tux6vpBPshoonCHyJ5yprYm+gHwk6fUm3p+j0XBzlctHmCFfZNSM2wZRUfUO9mlDxY85bH/PSy2Y5vgC9iHQQwQ4hdHou/b6LEoazV7v89LWaZrPLsZmEEzOCbs/llVdUWb1S9aq1JQ/+9mvOe/SXX/NTf/rhj35hfa3W2rRm5bKb6357RgjxHwrc8B8ogpePTeunwbofdPbs24PnOu8wqHdceckq1WxueXdtzN9098N7rlg9cky5bpuHn/I4cMTjwvUR/aRDxW8y3hCMNRW+awcAqn5Cp9/nKw/Xqfo+vhsx21WEkSGOyaVCKTW+q2h4hnoA9apNYiuBwlGSJIFOz1Irz3WoVTy6PZ9+2M939khhF9z6HrTqfdr9PrGucc3ZEXc8HNLteyQJ9CM4Mas4OVuh35/D99rsOdpi2zrJ2RsMh444nO5VkdWpRFTXf/3iS70dYb/9Os+dS4Ig4P+8881maun6zjP9eX0/j/+QAC8fa1evhaIWEx88Mvufr5gKRq+8/Oj/3PvkDd5Tew4l00tGL3jBZcGFRxcOcdOdHnEXVi8VLJ1MiCNNp2+bWA6f0hw/UecVF7psXn+MT3+lQZy4tseFornJcRRNH1pVwWjTYWLExfcEYQQLnYT5yNDtCUBSDVzaPZ8wdhDovIhkPf6gE/b58Kc8ti4f56xNJ1k+3sWEAbUA4iThwLEYV0lcT3HVWX2WT8TMhZtYMqXvS4jubyxZrdZtvzacXjr++xcl/RnhjD7TH8kP9PgPD/DhY8XSFsAM8OsA199wGw0jrpoeC1/wwM4Nr14+2tk8NtlDt3dxeLZHzetw+DhsWN7l7l0x8wuCVtXheef3uf/RgEBJfM9WHXt9hUBQ9SSNAEYaiuWTitXTIQbDkZMeR08mHJ0JMUj6kUetopjv+PR6HtJYSREgCmO6fZcDxyS3PeCxYsRhpAbPPnuWr99bpVUXnO64TI4bDp6qc81l1zC+rMFZ6+WTT5+auG7DKu8LSWK+un7L1bzxN57pd/2ZO/4/B/Dh4+UvvRrgq8eOzXx17Qa+FvjR+uMnZvTD9zytVX3Z2nM2jrz5m48dRlQV9doezt9wiihyeewpjTAw2krYf7yPkpKTcwojKwRC0axI6hXJ0omIU905klhycq7J+EhMLPr0EsORGVg26TPf9kjigM3LYjYvtxr3sqk5Ts7WWOrC2qk2/bDKrQ8aqsE0L7xqIyMNw8r6Surq6Nvufnhhz8at18hafVyONNzda+Dmau2ZGxP7YTr+Pw/w7FiyZBTg5ux7Y/YB3sixo4fv6Ices50getnzt/9WGPWeP9/26UVtxse/yboVszx5wCFB0O06fPbOcfq9hESGdMOYWqXNXQ9Itq/uEkcC4Tos9GDL6oRb7+8jTES3Ow+Jx8ufren0q7R7hkpVseeYw9aNo7zlv24lTkaY62t0or44UZ//y+Nz0l2+Zhu15vRXN54fnt64Yckz/Rb+UB7/P8C/xSHEaoDTwPUAC3OHEfBEpxtPxVroQ8dDGvX9jDTmGam7eJ4hiZJodOlVb92weuHHjs51osm6YsvmWU70amgSNm12CDzJued0MNrneFezboPDaHMevzfuXrVWfe79H935VqFctxe7dGKoVEa49KILODVfJ9HIKHGOAnues3rqmX6LfiSO/xhq/g/J8YFP3AGIqZY63Doy2zajFcWzzz7NPY/V2X8Slo9JWnXB8ok5Dh6rcc8TCZdt96hVFuiGE+LS80dntTZH65PXPtMv5T/M8f8CaOZZxBribcYAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTg6Mzc6NDYrMDA6MDAYSFE6AAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE4OjM3OjQ2KzAwOjAwaRXphgAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 9}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 20696736
    {'hecke_orbit_code': 4503668497842257, 'n': 1, 'trace_an': 16}
  • id: 20696737
    {'hecke_orbit_code': 4503668497842257, 'n': 2, 'trace_an': 0}
  • id: 20696738
    {'hecke_orbit_code': 4503668497842257, 'n': 3, 'trace_an': 0}
  • id: 20696739
    {'hecke_orbit_code': 4503668497842257, 'n': 4, 'trace_an': -2048}
  • id: 20696740
    {'hecke_orbit_code': 4503668497842257, 'n': 5, 'trace_an': 0}
  • id: 20696741
    {'hecke_orbit_code': 4503668497842257, 'n': 6, 'trace_an': 0}
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