Embedded newform data - 112.6.i.c.81.1

Formats: - HTML - YAML - JSON - 2026-01-12T22:43:17.710568

• 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': 4032, 'analytic_conductor': 17.96298781905383, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [112, 3, [15, 85, 17], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 65, 'dim': 4, 'field_disc': 12321, 'field_disc_factorization': [[3, 2], [37, 2]], 'field_poly': [81, 9, 10, -1, 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': [[3, [441, -168, 85, 8, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007749111218288, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '112.6.i.c', 'level': 112, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '7.6.c.a', 'nf_label': '4.0.12321.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-4\\beta _{1}-\\beta _{2})q^{3}+(19-19\\beta _{1}-10\\beta _{2}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '5.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '112.6.i', 'trace_display': [0, -8, 38, 168], 'trace_hash': 955020553433900218, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.754', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.554', 'prec': 17}, {'__RealLiteral__': 0, 'data': '48.833', 'prec': 20}, {'__RealLiteral__': 0, 'data': '14.962', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1059.797', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [4, 0, -8, 0, 38, 0, 168, 0, 380, 0, 424, 0, -1848, 0, -1784, 0, 2346, 0, -360, 0, -1526, 0, -12, 0, -1872, 0, -5744, 0, -14104, 0, 3548, 0, 3398, 0, -27496, 0, -11090, 0, 1624, 0, 7000, 0, 25360, 0, -1300, 0, -22956, 0, 4900, 0, -384, 0, -3042, 0, 50152, 0, -38116, 0, -65808, 0, 42486, 0, 4760, 0, 3164, 0, 42312, 0, 10308, 0, 4416, 0, 50506, 0, -35608, 0, 65338, 0, 9004, 0, -51178, 0, 208656, 0, -106212, 0, 80008, 0, 26666, 0, -135632, 0, -38718, 0, -198140, 0, 418264, 0, 133888, 0, -65162, 0, 93748, 0, 47320, 0, 153904, 0, -182690, 0, -28200, 0, 326936, 0, 51288, 0, -192136, 0, 227220, 0, 193068, 0, -78232, 0, -396036, 0, -360928, 0, 48736, 0, -314576, 0, -702310, 0, -351308, 0, 62898, 0, -3472, 0, -58332, 0, -148232, 0, -651988, 0, 325360, 0, 217110, 0, -247628, 0, 1047768, 0, -923376, 0, -420762, 0, 122364, 0, 179214, 0, 289536, 0, -289522, 0, 1594096, 0, -515364, 0, 232384, 0, -463754, 0, -432712, 0, -223938, 0, -610480, 0, 1859928, 0, -954680, 0, -373890, 0, -272688, 0, 589624, 0, 645220, 0, -98326, 0, 579712, 0, -960952, 0, -59788, 0, 237254, 0, 858032, 0, 708820, 0, -38568, 0, 790268, 0, 172752, 0, -170448, 0, -753640, 0, 76678, 0, 747552, 0, -1357356, 0, 3073056, 0, -261440, 0, -1753200, 0, 46742, 0, -930076, 0, 2099298, 0, -773736, 0, 696532, 0, 1361520, 0, 1396466, 0, -533792, 0, -700210, 0, 740264, 0, -752976, 0, 1661632, 0, -239964, 0, -470004, 0, 235546, 0, -1580320, 0, -925480, 0, -640580, 0, 2575044, 0, 1171360, 0, -220170, 0, -3173124, 0, 385924, 0, 1043624, 0, -1095714, 0, 2194800, 0, -5091848, 0, 2961048, 0, -1048822, 0, -1504496, 0, -1201520, 0, -822024, 0, 6947416, 0, -1714824, 0, -1291366, 0, -137424, 0, 3849888, 0, -213436, 0, -3881194, 0, 2369136, 0, -320636, 0, -3294852, 0, -4037926, 0, -1069264, 0, 389478, 0, -2686424, 0, -1496596, 0, -6256032, 0, 77504, 0, -2303556, 0, -3270498, 0, -373448, 0, 2574780, 0, 2967976, 0, -3982152, 0, -142088, 0, 464754, 0, 7334712, 0, 306606, 0, -113200, 0, -2449944, 0, 991984, 0, 85898, 0, 1658112, 0, -1654422, 0, -5738500, 0, -790548, 0, -101248, 0, 12829788, 0, -23164, 0, 151144, 0, 558432, 0, 271598, 0, -293508, 0, 3615248, 0, -1102816, 0, 253584, 0, 6529044, 0, -3191720, 0, 3204848, 0, -1705386, 0, 1319832, 0, 2744972, 0, 3671744, 0, 1232878, 0, 321944, 0, 3025482, 0, -3120656, 0, 5431556, 0, -2013000, 0, -4299070, 0, -474792, 0, -8016750, 0, 5338872, 0, 4088784, 0, -570192, 0, -382360, 0, 5329560, 0, -1515984, 0, -12543272, 0, -939988, 0, 2313756, 0, 6410712, 0, 12402784, 0, 1412202, 0, 2722220, 0, 7095788, 0, 997488, 0, 6416786, 0, -7742424, 0, 156024, 0, 2219336, 0, -3849206, 0, 10455032, 0, 604938, 0, 548112, 0, -21145880, 0, -17717568, 0, 1539282, 0, -379536, 0, 5807354, 0, -4706540, 0, 400672, 0, -14904560, 0, -3308472, 0, -14963740, 0, 6760460, 0, -151368, 0, 3828468, 0, 18170940, 0, -11018836, 0, 16195808, 0, -1434396, 0, 3250696, 0, -4339776, 0, -2172336, 0, -6571768, 0, 10307136, 0, -1531916, 0, 2945256, 0, 13683022, 0, 10182452, 0, -7702738, 0, 365528, 0, -4167804, 0, -7994104, 0, 12146394, 0, -515280, 0, 7856576, 0, -11145924, 0, 12520300, 0, -25635744, 0, 362992, 0, -4250996, 0, 2965630, 0, -10717280, 0, -16939666, 0, -1788752, 0, -38398140, 0, 26566560, 0, -5613172, 0, -13079240, 0, 13071702, 0, 1497000, 0, 7634462, 0, -17285856, 0, 2032764, 0, 5824888, 0, -2011948, 0, -3866716, 0, -8688934, 0, 8529784, 0, -2847484, 0, 3903024, 0, 510210, 0, 8384576, 0, -635040, 0, -2449332, 0, -3021256, 0, -20932016, 0, -30589420, 0, -985112, 0, 7735962, 0, -23568888, 0, 4612362, 0, 8841564, 0, 210616, 0, 14990464, 0, 3548188, 0, 4436884, 0, 13357876, 0, 13993392, 0, 1856550, 0, -10701376, 0, 46418520, 0, 22340688, 0, 2064738, 0, 23112068, 0, 12943458, 0, -5619752, 0, -41450580, 0, 21307264, 0, 6289040, 0, 1253904, 0, -12010488, 0, -873408, 0, 21093474, 0, -19193552, 0, 425248, 0, -21069364, 0, 13047534, 0, 4438896, 0, 9307254, 0, 7118764, 0, 10463832, 0, -34310256, 0, 8267022, 0, 1513848, 0, -26759474, 0, 3616512, 0, -11073328, 0, 32154280, 0, 23592696, 0, 13964312, 0, -10685322, 0, 17973200, 0, -7421058, 0, 20237592, 0, -12137556, 0, 12893672, 0, 5172300, 0, 42947776, 0, 82768, 0, -40851384, 0, -4373124, 0, -16627440, 0, 50093688, 0, -18189620, 0, 3099966, 0, -7879928, 0, -9941234, 0, -4785016, 0, 7259004, 0, -12574016, 0, -17249832, 0, 10059900, 0, 3576174, 0, 9349208, 0, 26284672, 0, -1824704, 0, -5343964, 0, 28001832, 0, 19448614, 0, 18352264, 0, -10534282, 0, -37526800, 0, 13763960, 0, 8370816, 0, -34152810, 0, 17137008, 0, -11107838, 0, -29104332, 0, 1833944, 0, -66583744, 0, -19364344, 0, 1572612, 0, -22979646, 0, -34028512, 0, -15549564, 0, 31503528, 0, -7085512, 0, -11854240, 0, 10184182, 0, -16784872, 0, -6126120, 0, 17162264, 0, 4185264, 0, 61796944, 0, -76458796, 0, 30970344, 0, -2949118, 0, 28061264, 0, -11021444, 0, -6580656, 0, 69346088, 0, -85796136, 0, -10605292, 0, -23254416, 0, 7172466, 0, -5375292, 0, -5174166, 0, -14787248, 0, 10568564, 0, -49013924, 0, -29831712, 0, -15281728, 0, 37388902, 0, -7920580, 0, -23458016, 0, 52356240, 0, 31655534, 0, -9502916, 0, -2894430, 0, 48979672, 0, 16121982, 0, 67136608, 0, 40206108, 0, -1429864, 0, -24041238, 0, 17148824, 0, 15391382, 0, 3967200, 0, -39798808, 0, -71193008, 0, -10782022, 0, -25650992, 0, -12562228, 0, -23102532, 0, -49709354, 0, -36219296, 0, -13859276, 0, -17643976, 0, 39851112, 0, -47029752, 0, 10853694, 0, -12734512, 0, 16006536, 0, 139263760, 0, 27032022, 0, -7411876, 0, -28270592, 0, 2366968, 0, -37646310, 0, 84952760, 0, -3593688, 0, 24526752, 0, 21326490, 0, 5641384, 0, -1641724, 0, -24239456, 0, -25516952, 0, -53734080, 0, 29837808, 0, -37085120, 0, 17208562, 0, -3209204, 0, -3213280, 0, 7010304, 0, -23669120, 0, -19529512, 0, -11968814, 0, -41891472, 0, -22796670, 0, 4437372, 0, 37226728, 0, 42083840, 0, -23735354, 0, -4453008, 0, 71680546, 0, 51042560, 0, -8058988, 0, 47270184, 0, -38693192, 0, -687800, 0, -27728548, 0, 2840460, 0, 13133500, 0, -28180304, 0, 171821212, 0, -3972480, 0, -13290330, 0, -2096328, 0, 114145696, 0, 11362064, 0, -56880870, 0, -20541440, 0, -44257464, 0, -26215596, 0, 19941116, 0, -12681480, 0, 6786384, 0, -5054780, 0, 24797308, 0, 94758336, 0, -39422466, 0, -7517220, 0], 'weight': 6, 'weight_parity': 1}
• mf_hecke_cc •

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

  
  {'an_normalized': [[1.0, 0.0], [0.0, 0.0], [-0.3234047589468194, 0.5601534739054567], [0.0, 0.0], [0.7139999866394018, 1.2366842534629434], [0.0, 0.0], [-0.33290706147907384, 0.942959643048083], [0.0, 0.0], [0.29081872378109924, 0.5037128053812032], [0.0, 0.0], [0.43844177257606354, -0.7594034262623008], [0.0, 0.0], [-0.47868764118317997, 0.0], [0.0, 0.0], [-0.923643974268592, 0.0], [0.0, 0.0], [0.15528798503944843, -0.2689666798933204], [0.0, 0.0], [0.47819047641467405, 0.8282502008457824], [0.0, 0.0], [-0.4205383918366992, -0.4914366830317048], [0.0, 0.0], [-0.08390056650210906, -0.14532004396546427], [0.0, 0.0], [-0.5195919618421317, 0.8999596771149616], [0.0, 0.0], [-1.023018154940231, 0.0], [0.0, 0.0], [-1.7187160689564616, 0.0], [0.0, 0.0], [-0.24064262289990876, 0.41680524932927976], [0.0, 0.0], [0.2835883115443561, 0.4911893640274963], [0.0, 0.0], [-1.4038389796568234, 0.2615722517400357], [0.0, 0.0], [-0.044409198176846666, -0.07691898756569358], [0.0, 0.0], [0.1548098612076679, -0.268138545124367], [0.0, 0.0], [0.6531089985773952, 0.0], [0.0, 0.0], [-0.15136310678062082, 0.0], [0.0, 0.0], [-0.4152891297883855, 0.7193018726245494], [0.0, 0.0], [-0.05060317589881787, -0.08764727168109744], [0.0, 0.0], [-0.7783457768347363, -0.6278358477209874], [0.0, 0.0], [0.10044174673804024, 0.17397020855125125], [0.0, 0.0], [0.233191740375834, -0.4038999422363553], [0.0, 0.0], [1.25218967904586, 0.0], [0.0, 0.0], [-0.6185963030222096, 0.0], [0.0, 0.0], [-0.5549027085620478, 0.9611196844870522], [0.0, 0.0], [0.8002011751583957, 1.3859890916506639], [0.0, 0.0], [-0.5717964539180681, 0.10654077009948743], [0.0, 0.0], [-0.34178296940923725, -0.5919854681785582], [0.0, 0.0], [0.3639508953088852, -0.6303814421351706], [0.0, 0.0], [0.10853536994046468, 0.0], [0.0, 0.0], [0.3387484344226776, 0.0], [0.0, 0.0], [0.7697517251411593, -1.3332490971582813], [0.0, 0.0], [-0.3360770263405192, -0.5821024848784432], [0.0, 0.0], [0.5701264216198167, 0.6662436604798168], [0.0, 0.0], [-0.24414268476986167, -0.42286753431767277], [0.0, 0.0], [0.04003021601556611, -0.06933436797691789], [0.0, 0.0], [1.2707640660102384, 0.0], [0.0, 0.0], [0.4435024769737032, 0.0], [0.0, 0.0], [0.5558409559788895, -0.9627447766830923], [0.0, 0.0], [-0.2915785470510282, -0.5050288578894933], [0.0, 0.0], [0.15935849599264174, -0.4513831272616202], [0.0, 0.0], [-0.15564993890255072, -0.2695936023742094], [0.0, 0.0], [-0.6828559875423329, 1.182741264675941], [0.0, 0.0], [1.1155294890007958, 0.0], [0.0, 0.0], [0.5100283070115751, 0.0], [0.0, 0.0], [-0.13997531557942042, 0.24244435838904357], [0.0, 0.0], [0.1357296230667902, 0.2350906032438533], [0.0, 0.0], [0.3074876013266103, -0.8709589922798243], [0.0, 0.0], [0.3709315861281617, 0.642472353306087], [0.0, 0.0], [-0.889333099092188, 1.5403701124803568], [0.0, 0.0], [0.05744858412561851, 0.0], [0.0, 0.0], [0.29222547707200297, 0.0], [0.0, 0.0], [0.11981000672308821, -0.20751701889955754], [0.0, 0.0], [-0.13921132889867718, 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[-0.46224478633229965, -0.8006314554613628], [0.0, 0.0], [0.19445001214622523, -0.3367973005696474], [0.0, 0.0], [0.4396570601820178, 0.0], [0.0, 0.0], [0.9034391712448273, 0.0], [0.0, 0.0], [0.4666852694262108, -0.8083225977901676], [0.0, 0.0], [-0.0547962149682686, -0.09490982838750743], [0.0, 0.0], [1.4361527628017001, -0.26759316235865294], [0.0, 0.0], [0.48000400818126315, 0.8313913300066548], [0.0, 0.0], [-0.36847063760450505, 0.638209865428302], [0.0, 0.0], [0.6782460592997036, 0.0], [0.0, 0.0], [-0.6717353958272921, 0.0], [0.0, 0.0], [-0.3221695061867186, 0.5580139533647723], [0.0, 0.0], [-0.487407788019516, -0.8442150528545629], [0.0, 0.0], [-0.08363551207558187, -0.09773556810965868], [0.0, 0.0], [0.3841822560877046, 0.665423186910342], [0.0, 0.0], [-0.21574770097578178, 0.37368597970623146], [0.0, 0.0], [1.8554362035141478, 0.0], [0.0, 0.0], [1.0831376321165636, 0.0], [0.0, 0.0], [-0.096060573449171, 0.16638179381816606], [0.0, 0.0], [-0.11669067156666224, 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-0.1970561653178503, -0.2620566215030635, -0.09139052005994386, -0.37920817778953253, 0.17695559403050987, 0.06430365961978414, -0.35738046315044275, -0.22291267575999954, -0.2768566688308149, -0.12258659648466509, -0.14042131971467536, -0.13042356941099495, -0.155829568190242, -0.4390178274147484, -0.06166440955371164, -0.022852549766448606, 0.2577487880329941, -0.22666188689118522, -0.27272934260319526, -0.15307079714376087, -0.42691024031823993, -0.38220454620204053, 0.030477874857845356, 0.1939262311722927, 0.2166159786239726, 0.04939676055874025, -0.055998138938420365, -0.03208443286733647, -0.390700629110566, -0.19353033731576727, -0.04711476008143138, -0.30412176583473666, -0.25018739973950854, -0.3631128586474333, -0.3134603900581033, -0.10504877937489789, 0.1830154960185537, -0.1366627120324718, 0.02497159768366509, -0.08243606052186132, -0.3223100665169259, -0.2506786298525423, -0.04326476708260414, -0.4417477827024534, -0.4490434501883108, -0.14957719216248333, 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-0.14565913595584232, -0.2782822887654986, -0.13322234609915684, -0.13412309885659465, -0.37410347500529983, -0.34009529119517595, -0.07937572399889893, -0.05499815389975334, -0.2147251057084202, -0.33939070993276077, -0.0036509339026535516, -0.3045147523280265, -0.15891528072327651, -0.10194763893348355, -0.4948465952608271, -0.35330101269317155, -0.42218670901059474, -0.482101456923762], 'char_orbit_index': 9, 'conrey_index': 81, 'dual_conrey_index': 65, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 3, 'embedding_root_imag': -3.066926140105404, 'embedding_root_real': 1.7706906325745548, 'hecke_orbit': 3, 'hecke_orbit_code': 9007749111218288, 'label': '112.6.i.c.81.1', 'level': 112, 'weight': 6}
• mf_newspaces •

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

  
  {'Nk2': 4032, 'analytic_conductor': 17.96298781905383, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [112, 3, [15, 85, 17], [3, 3, 1]], 'conrey_index': 65, 'cusp_dim': 148, 'dim': 38, 'eis_dim': 24, 'eis_new_dim': 4, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 549856477296, 'hecke_orbit_dims': [2, 4, 4, 4, 4, 10, 10], 'label': '112.6.i', 'level': 112, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 172, 'mf_new_dim': 42, 'num_forms': 7, 'prim_orbit_index': 3, 'relative_dim': 19, 'sturm_bound': 96, 'trace_bound': 3, 'trace_display': [0, 19, -1, -60], 'traces': [38, 0, 19, 0, -1, 0, -60, 0, -1378, 0, 303, 0, -4, 0, -482, 0, -1, 0, 549, 0, -579, 0, 1497, 0, -8012, 0, -12146, 0, 3884, 0, -3597, 0, -4231, 0, 14859, 0, -5325, 0, -11714, 0, -9644, 0, -20936, 0, 106, 0, -38403, 0, 3750, 0, -33535, 0, -3609, 0, 42166, 0, 28890, 0, 69899, 0, -6285, 0, -96138, 0, -12234, 0, -74741, 0, -21022, 0, 253600, 0, 19715, 0, 165612, 0, 28033, 0, 10441, 0, -32923, 0, 20792, 0, 105782, 0, -156266, 0, 49539, 0, 240040, 0, -72731, 0, 263031, 0, 213460, 0, -530516, 0, 154187, 0, -260959, 0, -253132, 0, -80395, 0, 130187, 0, 124550, 0, -227532, 0, 279827, 0, 208492, 0, -584135, 0, -54162, 0, -148246, 0, 345630, 0, 627312, 0, -296228, 0, 681337, 0, -196527, 0, -31661, 0, 113831, 0, -908792, 0, -489942, 0, -497066, 0, 22574, 0, 32663, 0, 169215, 0, 184123, 0, -1750228, 0, -214114, 0, -99609, 0, -429783, 0, 556613, 0, -7423, 0, 474563, 0, 512600, 0, 1056906, 0, 703502, 0, -548485, 0, 1057356, 0, -174531, 0, 309911, 0, -1862556, 0, -1318458, 0, 142145, 0, -350475, 0, 760404, 0, -396035, 0, -285865, 0, -2099540, 0, 1149756, 0, -475261, 0, 774301, 0, -1455800, 0, 342418, 0, 272262, 0, 689890, 0, 4133208, 0, 1043536, 0, 1355276, 0, 5805, 0, 2373981, 0, -760714, 0, -1464976, 0, 804624, 0, 692063, 0, 586999, 0, 6500925, 0, -938889, 0, 35487, 0, 3062018, 0, -3423944, 0, -867789, 0, -2395232, 0, 1073451, 0, -3788942, 0, 2265820, 0, -2656944, 0, -3324406, 0, -859221, 0, -322657, 0, -6997041, 0, -201124, 0, 1314295, 0, -6558714, 0, 8102342, 0, 185911, 0, 3168929, 0, -992030, 0, 3384924, 0, 3203255, 0, 4767740, 0, 3876932, 0, 2059887, 0, -1507583, 0, 5379896, 0, 614184, 0, 176874, 0, -6531580, 0, -9817266, 0, -107701, 0, 2027578, 0, -2990000, 0, -7365179, 0, -2812607, 0, -7410552, 0, -3562254, 0, -6511361, 0, 3601851, 0, -15444826, 0, 2400827, 0, 1637390, 0, 8036026, 0, 5225778, 0, -122744, 0, -850971, 0, 905017, 0, 5706217, 0, -4093534, 0, 14838734, 0, 1744356, 0, 11548698, 0, 4448713, 0, 11195436, 0, -5641931, 0, -4305525, 0, 8490092, 0, -11500916, 0, 68983, 0, 3761296, 0, -2983715, 0, -6786155, 0, 5033406, 0, -24236516, 0, -5459234, 0, -13759793, 0, -3219420, 0, -10554431, 0, -6660533, 0, 7035135, 0, -6950344, 0, 13308032, 0, 3299640, 0, -10261467, 0, -2471932, 0, 14011672, 0, 6793419, 0, 24478394, 0, 9559746, 0, 25367843, 0, -3820761, 0, 25718844, 0, 3871199, 0, -8301634, 0, -12386510, 0, -4657346, 0, -2624665, 0, 8581177, 0, 3057381, 0, -17459828, 0, -10273468, 0, -26116440, 0, 13976684, 0, -34334050, 0, 4962940, 0, -20040785, 0, 9187834, 0, 11254475, 0, 14234004, 0, 14802972, 0, 904297, 0, -9832827, 0, 5238966, 0, 21623453, 0, -11059695, 0, 45976734, 0, -11207612, 0, 31827698, 0, -4240067, 0, 27493742, 0, -3524613, 0, -24456829, 0, 20010732, 0, -7947808, 0, -441, 0, 14435681, 0, 11670021, 0, -31822967, 0, 9645836, 0, -45340392, 0, -16291380, 0, -40146009, 0, -8452226, 0, -50366612, 0, 2822994, 0, 17713767, 0, -25644334, 0, 18629408, 0, -1658514, 0, -21767282, 0, 2817984, 0, 31896641, 0, 7736652, 0, 57752160, 0, 17221614, 0, 59265157, 0, -5153793, 0, 52021173, 0, 4914777, 0, -19846485, 0, -22538382, 0, -57605162, 0, -1597861, 0, 12743013, 0, -1617700, 0, -36690719, 0, -9811054, 0, -93561892, 0, -12832568, 0, -65682393, 0, 1455473, 0, -65943037, 0, 1089311, 0, 28917874, 0, 25057262, 0, 48263776, 0, 1766434, 0, -13901478, 0, -15719595, 0, 75358815, 0, -3883221, 0, 86623024, 0, -28944006, 0, 64588859, 0, 13038274, 0, 115488483, 0, 5731099, 0, -19010833, 0, 40241066, 0, -94522632, 0, -5971693, 0, 12847657, 0, -33517232, 0, -56891587, 0, 3272932, 0, -101782248, 0, -5692166, 0, -94324706, 0, 3223287, 0, -128406236, 0, -6997323, 0, 20418623, 0, -14252892, 0, 117901532, 0, -7912742, 0, -10622347, 0, 13572810, 0, 73348770, 0, 7554355, 0, 181066724, 0, -4385324, 0, 75983747, 0, -5932531, 0, 141714703, 0, -2134649, 0, -33420527, 0, 10929598, 0, -117820288, 0, 7585004, 0, 132376, 0, 29447292, 0, -113462880, 0, -4560829, 0, -101629336, 0, 77850648, 0, -91418737, 0, -9413055, 0, -190509911, 0, -6636341, 0, 26302163, 0, 14634492, 0, 132174392, 0, -8348321, 0, -3337078, 0, -16051671, 0, 100765250, 0, -15006408, 0, 153504126, 0, -25747324, 0, 164270148, 0, -17276505, 0, 158733496, 0, 10542313, 0, -46154489, 0, 3334726, 0, -161347442, 0, 6789382, 0, 7350057, 0, 23285960, 0, -127583596, 0, 2555474, 0, -200020690, 0, -25450764, 0, -121289589, 0, 9292329, 0, -215435203, 0, 26783283, 0, 51924006, 0, 28560962, 0, 170545308, 0, 7716092, 0, -3460479, 0, 17670381, 0, 161134349, 0, -9479384, 0, 183790496, 0, 15231998, 0, 136703116, 0, 27232139, 0, 299685854, 0, -10842847, 0, -56725617, 0, -23042812, 0, -172108032, 0, -2857659, 0, 11508888, 0, -7190719, 0, -145014675, 0, -10514424, 0, -207981586, 0, -7151652, 0, -220428811, 0, -32706593, 0, -206918499, 0, -40361106, 0, 46075758, 0, 3058724, 0, 229512894, 0, 6710523, 0, -28172628, 0, -25333788, 0, 141689766, 0, -3418992, 0, 263501692, 0, -26869370, 0, 185597331, 0, -24451743, 0, 238129656, 0, 18301822, 0, -130438717, 0, -78764916, 0, -154197214, 0, 34988802, 0, 34923905, 0, -100899299, 0, -199156103, 0, -17851357, 0, -291291496, 0, 19797170, 0, -212988629, 0, 24866564, 0, -332590948, 0, -30364313, 0, 103606303, 0, 74551864, 0, 181048888, 0, 3798059, 0, -99561127, 0, 44262547, 0, 184962140, 0, -12024689, 0, 286255568, 0, -10379798, 0, 310208802, 0, 63569337, 0, 265784838, 0, -14473735, 0, -39977673, 0, 117232172, 0, -249583540, 0, -12879405, 0, 88539389, 0, 67853430, 0, -198044471, 0, 29412249, 0, -457730096, 0, 70576554, 0, -263095954, 0, -69066076, 0, -305873772, 0, -844401, 0, 119331970, 0, -120061716, 0, 123050232, 0, -112774417, 0, -49730515, 0, -38871648, 0, 242452855, 0, 42630445, 0, 403035462, 0, -24486828, 0, 261697174, 0, -46024035, 0, 354704036, 0, 23094202, 0, -88084789, 0, -188355044, 0, -221305760, 0, 37596684, 0, 150265535, 0, 48722581, 0, -168658299, 0, 22757124, 0, -371115200, 0, -64476696, 0, -406519242, 0, 106636635, 0, -307727159, 0, 96413849, 0, 159019431, 0, 92358748, 0, 305338038, 0, 70453983, 0, -107476674, 0, 41440343, 0, 222962569, 0, 25359326, 0, 521307862, 0, 37588452, 0, 359944735, 0, 86469570, 0, 338306545, 0, 279138, 0, -149334034, 0, 62613414, 0, -206946240, 0, -71112447, 0, 115915305, 0, 12039472, 0, -348204488, 0, 51059111, 0, -428790146, 0, 22993692, 0, -313682293, 0, -68206762, 0, -396560228, 0, -63616620, 0, 140305367, 0, -190655902, 0, 196499390, 0, 13625487, 0, -121415881, 0], 'weight': 6, 'weight_parity': 1}
• mf_twists_cc •

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

  
  
  • id: 41127141
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749111218288, 'source_is_minimal': False, 'source_label': '112.6.i.c.81.1', 'source_level': 112, 'target_conrey_index': 81, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749111218288, 'target_is_minimal': False, 'target_label': '112.6.i.c.81.1', 'target_level': 112, 'twist_class_label': '7.6.c.a.2.1', 'twist_class_level': 7, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 6}
  • id: 41127142
    {'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749111218288, 'source_is_minimal': False, 'source_label': '112.6.i.c.81.1', 'source_level': 112, 'target_conrey_index': 4, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137539616775, 'target_is_minimal': True, 'target_label': '7.6.c.a.4.1', 'target_level': 7, 'twist_class_label': '7.6.c.a.2.1', 'twist_class_level': 7, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 6}
  • id: 41127143
    {'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749111218288, 'source_is_minimal': False, 'source_label': '112.6.i.c.81.1', 'source_level': 112, 'target_conrey_index': 65, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749111218288, 'target_is_minimal': False, 'target_label': '112.6.i.c.65.1', 'target_level': 112, 'twist_class_label': '7.6.c.a.2.1', 'twist_class_level': 7, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 6}
  • id: 41127144
    {'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749111218288, 'source_is_minimal': False, 'source_label': '112.6.i.c.81.1', 'source_level': 112, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568393020703504, 'target_is_minimal': False, 'target_label': '784.6.a.t.1.1', 'target_level': 784, 'twist_class_label': '7.6.c.a.2.1', 'twist_class_level': 7, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 6}
  • id: 41127145
    {'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749111218288, 'source_is_minimal': False, 'source_label': '112.6.i.c.81.1', 'source_level': 112, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 117093590412296976, 'target_is_minimal': False, 'target_label': '784.6.a.ba.1.2', 'target_level': 784, 'twist_class_label': '7.6.c.a.2.1', 'twist_class_level': 7, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 6}
  • id: 41127146
    {'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749111218288, 'source_is_minimal': False, 'source_label': '112.6.i.c.81.1', 'source_level': 112, 'target_conrey_index': 46, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511073860681791, 'target_is_minimal': False, 'target_label': '63.6.e.d.46.2', 'target_level': 63, 'twist_class_label': '7.6.c.a.2.1', 'twist_class_level': 7, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 6}
  • id: 41127147
    {'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749111218288, 'source_is_minimal': False, 'source_label': '112.6.i.c.81.1', 'source_level': 112, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398610145329, 'target_is_minimal': False, 'target_label': '49.6.a.e.1.2', 'target_level': 49, 'twist_class_label': '7.6.c.a.2.1', 'twist_class_level': 7, 'twisting_char_label': '28.3', 'twisting_conrey_index': 3, 'weight': 6}
  • id: 41127148
    {'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749111218288, 'source_is_minimal': False, 'source_label': '112.6.i.c.81.1', 'source_level': 112, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798982774833, 'target_is_minimal': False, 'target_label': '49.6.a.d.1.2', 'target_level': 49, 'twist_class_label': '7.6.c.a.2.1', 'twist_class_level': 7, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 6}
  • id: 41127149
    {'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749111218288, 'source_is_minimal': False, 'source_label': '112.6.i.c.81.1', 'source_level': 112, 'target_conrey_index': 30, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135676469297, 'target_is_minimal': False, 'target_label': '49.6.c.f.30.1', 'target_level': 49, 'twist_class_label': '7.6.c.a.2.1', 'twist_class_level': 7, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 6}
  • id: 41127150
    {'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749111218288, 'source_is_minimal': False, 'source_label': '112.6.i.c.81.1', 'source_level': 112, 'target_conrey_index': 2, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137539616775, 'target_is_minimal': True, 'target_label': '7.6.c.a.2.1', 'target_level': 7, 'twist_class_label': '7.6.c.a.2.1', 'twist_class_level': 7, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 6}
  • id: 41127151
    {'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749111218288, 'source_is_minimal': False, 'source_label': '112.6.i.c.81.1', 'source_level': 112, 'target_conrey_index': 18, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135676469297, 'target_is_minimal': False, 'target_label': '49.6.c.f.18.1', 'target_level': 49, 'twist_class_label': '7.6.c.a.2.1', 'twist_class_level': 7, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 6}
  • id: 41127152
    {'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749111218288, 'source_is_minimal': False, 'source_label': '112.6.i.c.81.1', 'source_level': 112, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795256480185, 'target_is_minimal': False, 'target_label': '441.6.a.n.1.1', 'target_level': 441, 'twist_class_label': '7.6.c.a.2.1', 'twist_class_level': 7, 'twisting_char_label': '84.11', 'twisting_conrey_index': 11, 'weight': 6}
  • id: 41127153
    {'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749111218288, 'source_is_minimal': False, 'source_label': '112.6.i.c.81.1', 'source_level': 112, 'target_conrey_index': 37, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511073860681791, 'target_is_minimal': False, 'target_label': '63.6.e.d.37.2', 'target_level': 63, 'twist_class_label': '7.6.c.a.2.1', 'twist_class_level': 7, 'twisting_char_label': '84.23', 'twisting_conrey_index': 23, 'weight': 6}
  • id: 41127154
    {'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007749111218288, 'source_is_minimal': False, 'source_label': '112.6.i.c.81.1', 'source_level': 112, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195629109689, 'target_is_minimal': False, 'target_label': '441.6.a.m.1.1', 'target_level': 441, 'twist_class_label': '7.6.c.a.2.1', 'twist_class_level': 7, 'twisting_char_label': '84.59', 'twisting_conrey_index': 59, 'weight': 6}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 322275
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007749111218288, 'p': 2}
  • id: 322276
    {'charpoly_factorization': [[[441, -168, 85, 8, 1], 1]], 'hecke_orbit_code': 9007749111218288, 'p': 3}
  • id: 322277
    {'charpoly_factorization': [[[11148921, 126882, 4783, -38, 1], 1]], 'hecke_orbit_code': 9007749111218288, 'p': 5}
  • id: 322278
    {'charpoly_factorization': [[[282475249, -2823576, 11662, -168, 1], 1]], 'hecke_orbit_code': 9007749111218288, 'p': 7}
  • id: 322279
    {'charpoly_factorization': [[[643687641, -10757304, 154405, -424, 1], 1]], 'hecke_orbit_code': 9007749111218288, 'p': 11}
  • id: 322280
    {'charpoly_factorization': [[[184436, 924, 1], 2]], 'hecke_orbit_code': 9007749111218288, 'p': 13}
  • id: 322281
    {'charpoly_factorization': [[[534713400081, -1715491386, 4772475, -2346, 1], 1]], 'hecke_orbit_code': 9007749111218288, 'p': 17}
  • id: 322282
    {'charpoly_factorization': [[[7876852004329, -1010366280, 2936173, 360, 1], 1]], 'hecke_orbit_code': 9007749111218288, 'p': 19}
  • id: 322283
    {'charpoly_factorization': [[[31018606641, -2113452, 176265, 12, 1], 1]], 'hecke_orbit_code': 9007749111218288, 'p': 23}
  • id: 322284
    {'charpoly_factorization': [[[-5697324, 7052, 1], 2]], 'hecke_orbit_code': 9007749111218288, 'p': 29}
  • id: 322285
    {'charpoly_factorization': [[[248637676526001, 55945747452, 28356553, -3548, 1], 1]], 'hecke_orbit_code': 9007749111218288, 'p': 31}
  • id: 322286
    {'charpoly_factorization': [[[58604000855625, 84897554250, 115332775, 11090, 1], 1]], 'hecke_orbit_code': 9007749111218288, 'p': 37}
  • id: 322287
    {'charpoly_factorization': [[[-24814188, -3500, 1], 2]], 'hecke_orbit_code': 9007749111218288, 'p': 41}
  • id: 322288
    {'charpoly_factorization': [[[-26638832, -12680, 1], 2]], 'hecke_orbit_code': 9007749111218288, 'p': 43}
  • id: 322289
    {'charpoly_factorization': [[[1078147666555281, 753763910004, 494142777, 22956, 1], 1]], 'hecke_orbit_code': 9007749111218288, 'p': 47}
  • id: 322290
    {'charpoly_factorization': [[[14394275848965609, -364967439174, 129229911, 3042, 1], 1]], 'hecke_orbit_code': 9007749111218288, 'p': 53}
  • id: 322291
    {'charpoly_factorization': [[[1149700030812754281, 70562013287472, 3258452205, 65808, 1], 1]], 'hecke_orbit_code': 9007749111218288, 'p': 59}
  • id: 322292
    {'charpoly_factorization': [[[35042508271852249, 7953228077298, 1992256639, -42486, 1], 1]], 'hecke_orbit_code': 9007749111218288, 'p': 61}
  • id: 322293
    {'charpoly_factorization': [[[173328653036001241, -17615652522648, 1373977765, -42312, 1], 1]], 'hecke_orbit_code': 9007749111218288, 'p': 67}
  • id: 322294
    {'charpoly_factorization': [[[-175265856, -2208, 1], 2]], 'hecke_orbit_code': 9007749111218288, 'p': 71}
  • id: 322295
    {'charpoly_factorization': [[[1885409648898635601, 69349899662694, 3923958235, -50506, 1], 1]], 'hecke_orbit_code': 9007749111218288, 'p': 73}
  • id: 322296
    {'charpoly_factorization': [[[955545759003403681, 8801591961836, 1058592225, -9004, 1], 1]], 'hecke_orbit_code': 9007749111218288, 'p': 79}
  • id: 322297
    {'charpoly_factorization': [[[1959796944, -104328, 1], 2]], 'hecke_orbit_code': 9007749111218288, 'p': 83}
  • id: 322298
    {'charpoly_factorization': [[[9369821052113093649, 81625061802438, 3772091899, -26666, 1], 1]], 'hecke_orbit_code': 9007749111218288, 'p': 89}
  • id: 322299
    {'charpoly_factorization': [[[10932626964, -209132, 1], 2]], 'hecke_orbit_code': 9007749111218288, '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': 9, 'hecke_orbit': 3, 'label': '112.6.i.c', 'level': 112, 'portrait': 'data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAAC4CAYAAABQMybHAAAABGdBTUEAALGPC/xhBQAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAAABmJLR0QA/wD/AP+gvaeTAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAAB3RJTUUH5AsHETgYshEXdgAAABBjYU52AAAA1wAAANcAAAAQAAAADnCbpecAAIAASURBVHja7P13vCTZXd6Pv885lTrdfCfn3ZnZ2ZyDtKtVlpAQWiEJMEFgwMgBHH4v2xhH7K/1BfSzDcY2NkigQFRACCTtaqVdSRu1Oe/s5Jzu3Ny50jnfP05VdXXPrIyx8QJ2v1Tq7juz032rnnrO83k+4Qj+7+N/2ePzX3oIKcXaFw+cGDepMRumXTxX8vTRNm+4ekrcenl98cFnUjZML03fsOe0ef7ARgJPsna6S72WCi13roKZm95wB8B6YAXoCSFe61/tL+3Dea2/wF+Wx6Fj5wC2a52uNQjd7UX84Rf+iJ0bzrBt/RKB8jhy6gvxsrn+53ud5e92hIlPn/NYOyWIu33aq4l3+vTCb548LRBp/ydOjnWis3MLrJ+GE/2IsXrq9pNjX/7VT+37+b2nvih+5V//5C/NnT76uSB5/unO6n5l8EEIqaQ7Bxyt1De81qfkL8Xj/1LDqzxeOTSPEcGEa46+obv8AkrI+PTy+D9o9+XbpDBEccIzzzxHvbLCpRuarLQVJ89XQIckccJkw7D/pMcV21POzksmxxIaNZ/DZx1SHTNTF5xZjLlyh+bgScnUmMbzPILA4ei8ZKUDu9Yk7Nwyye49V2NwcRR0I+fr+472fzk1qfum26/k0m0bH8SEK0Kuea1P2V/Ix/8FePZYWVnAwDvqtfCSY8fa+l//6mf1D75jbHsnXPNPOq3D1AKPYyfP0WotEsUOy11JajwC19DwDedbCQfP9tkwFTBeUSgRMzPmsXOzotsHIUNOzzv0IzizKFB49MKYSzYb1k52kEhq1Yh1s232H59iaaVCLUjxnZhuX9PsKKIkYWJyhlp9A8oJuWLndp7fv/iLt+w6d3TTzg/JWIzLDbPqMHBvozHzWp/SvxCP/+MBvvfFh5FCvGFlNXr7i4cXP7Bn+/zusOPxm184wK1XrrAw73JiocvGaUXVh5lxzellHyUNUmjWT6ScOB9QqxqePhzSDQWBB4ursH3GoVrxWTuT8IYrW+w9OsbT+wSvnEi47YqUDdOaWk2wee0KCyuKwIdeaHh2/zT1iuTIeY91k32kAE+lnFtSjNUSJCkb1sQsLNbpGc0br6lxYvlygnrK7VeP7T+3vObzcSK/JgQPvuNtd77Wp/g1ffwfB/B2a5UgCCbPn1/4f3/jd77m7T/+Svrh7wmuX14Zu+H375lj7exx3nxNjfufGqenV3nb9Q4PPx+wY1OPTs/l7LIijAW+k7BnU8qayZCltuT5I2PEiWDnhj7n24qrdvQ4eMyl1XeIQrhpT4cDp6o0KhH7TjvcsksSxSGtvsPzxyXXbk1ptl0u2RgRxZIXjwoW2wHrJmD35jaeI4liOLfs0g4TLl3v8sDzhjff0CHsjXPP413uvGGVa3Zs5smD61nsdZ/+gTcvPDM7da2a2fzOqN6Y+qdJEi1PTIy91pfgf+vjr3yQefTYcTzXEZ/7k4d50819pcJ7f+3ocXfXE8+cu/3k8dNq7nyLQydOsrY+xoapGs8dnuYN1y5z/e4x7n2yzlOHu2xdZzg777B+1tA9Y4iNIYxdTi1I1kyFCGHYuTHklaMOvtdjxzqPuQWXiYbglj0xLxzSvHikQTdus2VtxNXuGGcW4fmDFXZtSdg8DUfOCyp+DEJx8LSDIUaaiE0zhnoFlIhwlUuzB5tmFcfPCm7Y3WaiWuPrLwkaYzG3XdHgmb2Gh585wqZN7Rt0pG7Yt/8Y5578YurUNu5pxv6Bj/3uZ/727ZeTzmy8E6MTs2bdptf6Ev25Pv5KAnxl+RxSKtnrtoJP/rd/HX7gQ//sH6Zp+iP/9NeOxf/yhw9cFojxoLMS0PCg35U8e1DwI2/tcOUldc4uBdz3tM/33r7KNTum+MZzHpds6rJ2vM7xswk37Y7Yf8pjvBYDkpePV1k/qVlacXh0b8qjh+CqLYY9myTLbcHDr0jedEXMeE2x0q5z6pzDasug3IgPvXOFE3MNVtuC63b1ueqSBVwmmFuc4dQC7Nmq6UWSY3M+E1WHfacluzZBuy3ZtWWRbesDvvGUx/GlHu9/g+b84gT7jkMzTLn2kgiRjnPwWJe9R/ap/fNH7xyb6NzyH/9OcJNOb3LDMPztH/2pf/zvXtl3yJ8YH+snSaI3b/6r58z8lZIoxhgAOb/UHl9dOnRr1eNj+/YfTZ569sDUi/vmGs+fSJiYXuRf/LUQk2zghYMVnj8Yc3Cux9tva/L6y2q8cGCcB1+MGJ/q8L7XSV7aX+fhl3tctiNh42QFTA/hCFzpcPicw2wjpRka6kHIifmUvadS6mqCt93YYWW1zhOvGK7YJrh0c0qaCE4uuKSp5tKNgsu3xzyxV7Dc6fLWGySV2lkOHK9z/NwEVV/Q7rpMjyUcOefhOSFKKox22LR2mcu3KB56boKnj8a89w1N1tTGeejZgOeOdbnlmhXedaPH4RMzPH9A88KRmK7s8M9/+Dzrx2fZd3yWZn+2NTmzbWnTlkucek38jauvuOQxqRqrxqCl/KsDi78yDH7q7BLHTy1ufenQiY3jVT6/cvaesbW187XjhxyivqJWgQ1jhheOT/DIK3O879YVNjUdmh2HVs/n89+oMVVvcdVOh35U45GXDV98tMv7b28SBHWePeSyfqrDVMPj1HmHVi+l2+1RW+MSa4fJmmL9hOSOK3o8dyjBkQLfS/CrCU8fVdTqLhunI8IENkzBtbsWaHYdwmSCWDu8dFzywsEt+CrA91Kc8ZBeCGONHtuAVsfj1HzK1HiXmbE6X3vC46WTEXfd2WHjeINHXwh48VifPTtW+GtvTDl4fIIjpwWn5xPONVPefWeLyzdX2XekztIKnDg31zjzxPHG6fZTvP3ONZ9bP5M0PZV+oDG+/XQSLhx3/L8aLsxfeoBnrL3roYceXt/sqV//2rf3X/rtZx9W/+6nTjJZm2HN5AxhpOj1Hbp9zbY+fPprk6yfWuLWnQ7d/jRh7NKLqjzxSkQUr3DVTvC9Kk/uV3zhoSZXbF3l9qtqHDrVYGG1T8VLmJnQ7NygOLekWG5KWu2UeiXE91w2zkQcm3NxZI+7XufwzAGXy7asMj7e4u5nq7R6PtNjNZ496LFne5upMZfj84INMy5BEDMRpLiORErB0/smGat1qXghl2xSeLLCIy8aqtVV3n8n1N1xvvmUx/7TPa7avcy1O+DU2bXsO+py/GzM3tOGG65c4cfeGnP6/DrOLQcsrsJyM2GpDQdOd1n5+tO1N+5+uLZx05sf7PWSQ+cWxIeNMWeBA3/Zs6h/aQF+dm4J13UuffCx567Wce/vHTl09A3ffPRlHntllcXQ4xP31PhH39dmw0yVXqjohR790KUXGjpnK9z9RI3bLl/i2l0KmMAYl+cPT/DJAx3e/6YWt14WMz1e4+l9E3z9iT7rpvvs3iKYHXM4ctal24/pdKHZETiOYcN0CkoiZUSvKzm3EoCuMDsWccmGLo++6BOS8L7Xx6RRlcOnJTMTDhumBFonLKw4tPohvdij3fHYNB0y1eijlMRxBHHscOQ0zEx0ueWqhPUTDgdPjPHIfji73OaGq9r8wJ0pp86u5bkDPgdOJDx3NCUWbd59U59+b5rT56ucX5IsrMQsNRNOL0v8So+//T0rbFnjMH/2cXV8/uxup3rFt6oV8eDkhPMfw17zBZ3Ghyr16df6kv+ZHuq1/gJ/lsf8+TOMNfytRw4f+A8v7d37rx577Ntbjx87Rj+M8ZQkihxePuGxYU2L2y6PiWOPOHXQRmGMwEFzcs7j+KJm67oWayeg6gcEroPC4fkjirnVPo1GxOXbNLs2+rQ7AacXBJ4TExvF2RWXswuaViRwHIc14wnnVzTHz3lM1CUCh9nJmOW24cqtfaSscm6pys4NPgdP+JxaNOzZGnJ+WRInLr1IsWtTjBCGdleyZjxhZjJkdjLCldDsKnwfdm4UrKzU+cYzFQ6d7TM52eSN1/e4ZZfPkZOzPH/AY+/RhKMLEfXxJj/+jg6XbxnjxLlxTs65nF1IOb8Uc3JJcHDB8N7Xz/MT70xpt6c5szDB3AIcOXqG06cPbU3T5PubbbmlWp957Gd+5qdXf/mXf/m1vvT/w4+/VOvPNx49gqY643Hs7824j1956kx611MvHCfVHr1QsLQSs7iaMLdiOLYimJpu8nPft8jNO2scOzvFybkqp+cVZ+dTTs7FHF3QONUO77+9w7tv8jg5N8W+Yz6HT2v2nYxJZZ9NsxG3XanZMis5OVfj1HnJckvTTzRSwkQdZsYSllsOrY5iohHhCIeJRkrgxzyxz2f7Ws3MRMK5xQqu0pxZ0sxOGLavi3h8n4/nKabqoFTMdA1WOoKljmC2oZlsxEgJYaRYbjmcOO9wciFhy9o+t16ZsHHGgbTK/mNVjpw2vHIi5cRSyDtet8L33h5SURMcPzfB8bMOZ+dTzi7GnFwwHFww3Hj5Aj/7wRZrxiY4szDO+cUKc8sOi6vQ6vTph30ak5eivbEvfvhDV7906dYN/xH6C0Lsfq2h8Kd+/KVh8LOHPse22cVG0n3lvx48+MjfnKq8sifuN/FdHykcEi0xRqC1RmCQBo7PBTx9WHDpxiZ7tmjABRRSOjhK4ivD/KLL/tOKvu6xe0uLHRs0MxMOayc8POGz1PQ5NSc4dk7w4nE4fi5iYSWk2U7pxy6B5zFTN2yYjREipRc6bF0b4ypDrAVx6rHUkvRCF88RCKOZGddMj6Ust3xaPUE/cVnpCtaOaZaampPnFYHrsXYSNs5ErJnqMzsVsnYqZOMaw+a1iss2uVRUjWMnGzz+ssezBxNePBGTqjbven2Tu24zVNQUB0+Mc+ysw5n5lLkM3IcXDTdcvsC/+KEVNk2PcXZ+nPmVCktNh+WWjSdW24bFVcmLBxc5eG7xMic5fftze+Ot33oy+do7v+f7o6996Xdfa0j8qR5/oRl8canF1GQPrZ1f2Hfw2G1/+IUvy1585raffOchx1VVFlZmmF+usbjqZRcHlpspy82YpdWUuVU4siSYmV7lX//IEjfurHLq/CRn52ucXXQ4v2SYW0w4vZAy304Yn+zzuis73LwbPFnBVz7nlwPOLTrMLQu6ISSJJvA0tSBlYixBAyfmElod2LLGpVYJMUaA8Oj0NJvXhiytOmCsFFntQJiAwbDcjNgw69LuKYQyCB3SCFw2r+uz2hWcOOuQaoephqQeCHwXkkTQDSVzy5JzS4bzKwm+3wc34ZY9HW67XDDTqLC00uDUeZ+zi3B+MeH8csKZZTiyZLh+zyL/5kdWWDve4OTcJHNLFRZWPBabkuXVlJVWzEorZbmtOdeUHG+mVGjz//yUn7hq47evu+m79dTszkeBf7p1w/hrDZPv+PgLG2R+9vNfZHqqwZmzix955LFv/IPf+eoz/tz8EgvNFt99W8LV20LCuEcUK1It0AaMcTBGYY0VECJFCMPRpQn+9e8KPvLj57l2W0S9MkmtUqdR9alXXcYbivNLirkVh288FnDPowmXbuqye3vC8kqPyzaF/MDbNXGiEBi+/HjAfDOgkoYcP6fodOpcdUnKfCth3wGXnZskh87CLbug2YZIO/hOxHQNDp6pUK3E+CphrC5YbcNNl7U5ctpn5xbNsbMhe4/Yf8/d1OfIecNYPWS5FfGVb1QxQpGmKW+4psut1xrmVl2u3dFnx3qXJG7Q7VXYdzRgblGwsJIyv5JwfllzcllwvhNxzc4l/uUPdphpTHDi3DjnlyosrLosNSUrzZRmO6bZSWl2DStdwVJfEvZirri0xU07zzjLrZU7Vs/Mc/zonnBSxcEjD96jjU6j29/43a81ZC76+AvJ4C8/9Rkuv6Gq/uAz7X+579DcP3vs2WPqwLmYhb6gE2mu3jbPL394gWsvqTK3NMHSao3lZsBy02W55bDShpVmykorYbmdsNiEUysCp9Ln1suX+b47IrbN1ljtNJhfrrCw7LHYFCw3rURYaWtaPU0rNHT7CVONmM1rNCDwXcPpeRchfbbMKratN6yf7XJ+JeSFQ3Wuu9RQrazw8uFJ6rWIKHKZmtD0+nDZ5j6/961xdm1KCEPD9JgkTnvUA5+9x/tU3BrX7Ex48WjE+SWPDVM+29bB5rURSsWcXgTPNQhh2LImYaIuafd8Ol2XVtdluaVYXoWlpma5mbLYTJlrwlI/ZfOGDt/3hkVu3e0QuA3OLTZYXAlYXHVYaglWm5rVdsxKJk+WOjDXkcytpty06xwf/ZtL7N4U0OkHrDQrnF2YCCMuaTmVrb/26/dN/Zt3XruafvhH3/daQ+eCx18ogB84eIhatVJ5ed+pzcsLz37w3LnFf/vCS3MsNDWLLVjqCBb6gvl2wvU7zvPvP7zEVdurzK+Ms7RaY6UVsNxyWWk5rLSg2dasthNW2gnLLcP5puBsx4DocNfrm7zzRs32dQFRVGWlGbDa8Wi2FSsdQbsr6IeGKDGkKShp8F2o+IbxhmF2MsZx+xw5F/HSYR+d1Hj7TRGOu8oz+8bYug6++mTC66/wmW/2CBxFksZMTkASuzhuwtJSlddd2+Krj9XZtg6ePhTiUuVtN2oS0eOlIynHTgc40mPNhMNETVDxBZ4nUAISDVFs6EfQ7hpWO5p2V7Pa1Sx1DL00ZcvGLu+8ucldt0Wg6yytjjG/XGEpJ4MmrLZTmp2E1XbKasew3IFzbcVCK+H6nef56IfnuXxLhaXmGM1uhdVmhfnlgFPnBcadYWpm+p/fdv01nwvqG08mcb+349KdrzWUisdfGIA//uw+YjHjjcnDP3bqxKFf+8K9LwhPhdIXkrmlhNW2ZrULK33BfFdyvh1x46UL/NJPLnHtJQGLqznIfVbbHitth9W2oNk2NDspq+2EZkez0jHMtwXnmpqJ8S5vub7NLbsTtqxRNCourXaA70pAESUSncmfbh8Qmol6n0NnDNpE3Pd0jbBb4ZINHrde2SXWqzz07DjXXOpyaK5Dc6XBzVd2+cYzPmsmDftOGP7Oe1vsO+6zZlJy/7OKWy9TLHdbHD01yTU7Ix56qUcSVrllj8eOTX16SYevP6MgFRw57dCoOjgCuj2JNoJUG+IEkBrH0zQ7hlo9ZtO6kNsu6/KW6xKmagHnl8dYWq2w0rLnZqUlaHag2U5odpJClix3JXNtwWI74aZd83zkJxe5arvP4soYq50qrXbAattjueVydlGhZIfZKV87jRvN7t3b/vaN12/+ZGt5JRqbuvK1hhTwFwTgrW4iW53euz/1uS9fsr7R/2h38XH39FyN1Q5gDN1+SruXyYaeoNkTzPck55oJt1w2zy/85ALX7fBYbY2xsFKn2bEXYbXj0Gwrml1odwytbkKrk9LpaZpdw0JHsNCBOA256tIeaydTOl3DO24O2bpWk6QSRxqiGB58IeDkfMC6iYSXjwSgq+zeqLh2l8YPujxzqMvCYo3Lt9ZojK/w2IsuN1wasNRdZWWlwdq1hif3KX7wjR2e2uewcdZlsdNkZXmSay/r8tjLKZOVcS6/pMN8s8mTr4xTcWpcv8uwc3MfZIcXjglmJ2POL8Q89IJLP1ZICak2bF0X8ZabI9odxfoJzbWXQhRVWW5WWW76rHZcWl1FsyNpdaDVTWl1UtrdlFZXs9o1LPckZ1qCZi/k1p0L/JufWOH6S+3N0WpXaHV9ml2PVseh2VV0ehJjYHk15uh8lx98743xtvX6H+++5gOHHaf2FSE8/Vpj6zUPMl85usTJs8s/snD2xV/uLh6ZfOHIItWgyuSYC8LQD1O0MWhjMEZYC1AYlDQo6fDUwTX83G86vPfWZb7/jcts2xAxt9TA9ypUfI+q71KrOLQrknrPZazm0O2ndHopa0JNLzS0+z7LCwGnTxmiRHNmLsH3DSDwlMGRgm5PIXBJug5XbxXsWG/YvKFLmLa59ynF/sMTvPU6n2svW+HT9xo8UWXrhi4vPqbYMK6YbnQJVIUodplvQy1w2LhG8Pz+iGt3VrjjmkU+dXcPz63z5psMrt/lm09GfPWJGq8cq7B9fZWt61JmJiK2TcdcsTVFKY2jDGCo+j4z4z5R7NLuerx8yKXTd+j2FJ2+pNODTt/Q6drfvd1L6fQMrZ5htQcLXcX5FUN1rMlPv32B77k15KrtNc4tNmh2KrS7Hu2uS7vn0OkpeqEkjGyDRrML29c5vPj8S+7c6fovN6Mnlm+66ep/YMz5Twnx2rbSvaYAN6YNiJ+4/5sP/cKJg9+YXF+PCH2POJUYoOILQGFK/40QtpPGAjzFk5IXD83w3MEah87O897bOty2p894vcFys0qtFdDoeXS6Du3sYvf6Dt3QoR8a+pEmig1xbEhSe0SJh9EglcB1BIEnGK8LJuqwdlqzcU2X6YkmX3sGHn7OReox3nqdy9W72zz6SkzUb3Dr1YJmr8f8Uo1bdmqmx7tUHJ9+olhoxSgtuHqnQ7Ue8uyBgNuvHePmq9o8e0CBGeO6PR4//q5lvvF8xP1P1dh3MmDzjGLtZIWJepWxOlR8cB2DkqAN7DsmSFNBnAiiBMIY+zuGKb1Q0w813b6mG2o6PWiFsNCRzLch1H3edM0y776tyV97syZJGswt1mh1Ato9j07PpdNTtHuKbk/SCy24e6HNO7TbLssrhlcOL/Pioa9Opjr6/++67G3OuYXeb66bqfyfB/BOq03Yc3/80JG7f0F0vjm7YTKkX6vS6mh6MUSRQAqBEAIhVPYMUmqUBKUMjjK4SlNxBYvdCp/51ka++VyL11+xyg+9aZUrtnWYGq+ytFql3fPp9twM2MoekSCMJXEiSBK71OcWo5IGx4HAg2pFM1mP2TDbJaHDoTMxn30o4OipGuN+hRv2ONxyZYsnDza57/EGN10asHldl9/7lkAJn0Y9ZrUTog0oATONLq22h04qvPv183zmq1V2nA94501doniJh16aIk4DbtwzyztvaHHppibffLbLi6eqvHDMY+OkZLIhqPoCz7U3oRT25tcGtDbESXazxoYwtjdyP4JeBO2+YCUULLdBOH2u2bXKD71lldfvSZlqVFhpVWm2K7S7Pp2+S6c3WAm6oaTXh25o6IeaMEqJIk2UaMLI0O7Bifkuxz/2rdkf/qD+hbe/4e1mabH5W1PTr00n0f92gH/t3k/y0Itr+I3fu/9DY7WVjwbikemrNs2TVidYbiqkdHH7Dj0lUVIgpczALVHSQcoUJUW2PGtcZfAdQ8URrPQVS80JPv9gjSde7nDrVav80JtXuWZHk6m0QpL4dPsBnZ5LL3SIYkWcSJJUZl76QAL5nqYaJPhehOeGnFkKuftpyeHTHsdOT6C0z451HpdtU1y3u4XyF3jpSJ0N41Uu3w5rZ1ZYbjW4YoMk0YavPeUTdiXjtYS33djnKw/FnJyrs+sSl3OrffYeddm0ZoKrti3w6IttHtsrCCOP3dsm2b3JZ/fGNkfOLXP4DDy1v8qhozWqjsB3JDXfELggpQ2qjLE3a5JClECUCjqhoNUXtGKIdII2fa6/tMUPvaXF669IWTfp0++PsdQMaHd8On2Pbs+h01d0+4peKOj1B8zdj1L6YUoYWWD3Yyv3On2Yb3scWO4w/cB9s+Pe4kcv2TSZdOfu/vTn7j3Nj37ob/zVBfgH/96v8ba3C9r9M3+tubjwqw89em78+EKbf/MTMWvH+ySJAkGmsRWOUihFBmiRvRc4SuOoFNcReI7Gcw2+a6h6KeOBoB26rLQm+MLDDb71Qp81E10++IYmuzf16fc6XL7NsGmtIoxd0lSRZml+gUFKjeuknDhvODYnWO1pvvRolTOLE5jIZSJQrJ9y2LLWYfsGuHxHCy0X+dhXaiwvj3HTbofLdzT55gsCkbjMTkhq1YRu7CGNBCNRjkezLzi/LNhjqrzhujbffrbC+mmPmy6f5K+/a5FPfrXNUwdqdPouS6t1tq2vsGtdlxt3tnnf7W3OLi/zpUd9lro+J865nDnj4aqMEBBoY0g1xNqQJpqJqZgr93QJw5jdm0Le/4aQ2THFZN0njgPOLQR0ex7d0K5yvQLY0oI7FPRD7EqQAbsfpfQjYwEeGboRtPqC5Z5kcibme24+x/6XmX76ufW/eskl4/GPfui23zfxzyPcn/+rB/BPfOpz/NiHPiB+9B/+xgfa7cMff+uVp6rvu2OM86sJayZSXCemEkQZ0KxEUMoCXSlpy0aVwMmfHYHrpHiOwHM1gWuoxIZqZBgLUiYqgm4kaUc1jp2u8Uu/Pwk6QSQJ113ZZdvaiCQBbTTG2CSOFAKpBI7rceCkx77DAbXAoe5JpquCmSnJ7KTD+hnFlnUpu7askool/tMXG5w4Oc5NO112b03pJW0ef8lnvOIyNWYYr0dUK1YKaS1p9hXLHcNSM6XZqfC6y1d5el+X/ScV442AG/eM85PvXuK//DE8e7hGp2dYbTucX26wdrrK7ESfLVN9/uEHujSqTV48BgdOSVzXnjMhNGDs/wwkCWxdm3LrFQlp7BInPsZU6Ucuc4sevdCuaP1IFfKtFwn6oaAfWda2IM4YO9T0Y10Aux8b+iF0IkE7FLRTiFYln/nGOHNzinVrXxn/rrfUPt453062X/2vPv/oA1ea1935gb86AP/Y732ajmPU73/2U3ftnm1++lNPrAb9ruCf/dBp3nxzSJwIuv2YShACVksq5WYANyilMr0tcR2rOT1XEbqSMNL4UUoYGyqxJow1UWRoJBDGmjCBKBH0Y0mY+sRpwP7DNV7YD6kxWGhbbexK8JSt+aj7cPk6aFRgrCaZqCumxh1mJ2Hz2pB1M6vEZpn/9MUxjhwd49rtiu0bJTs2rvDA3oTzS2Nct00y0dAEXg9f+hglSFKJMIYkjVjpBJxfcrl2d4Wrd7Z59NmANROCalDn2p2an75riV/9Y83eM3VWO5rVtmJhxWF6vMZEo8JEY4xGNWamFrPl2gjfTXCdBKVSpLDBhMHeVHGsmF9wiBNFnCiiWBHG2XMkCWNJGEn6kSSMhA1QI0EYGQvqWBNGmigHdmwyFod+LKy2jwSrsaSXQnPZ5fe/obh25wp/844W8VJa/dJe+elf+X9/S2/dHn/xkYd/PX397R/+c8fen3s14YHnPsudVzbU6lL7/S8fOvnbWyaOBq6sct+zDofPdbl6Z5P1UwlSCIzBBpIChDTI7LUNKkEq+9pxwFFkTC5xHcvqniPxXIHnSnzXuh8Vz2b/6gGMBYbximGqCrM1mG3AugasG4P149kxKdgwIVg/JVk3qVg77bJ+2mXDGsvau7d0mJ1a4ktP9PjU18c5e2acKzYrtm/0uGJHiF9Z5OP3VHF1hd1bPLZviDhytsPXngjYOBWwYVZx5SUrnFowLK/4TNRd1s/A1vVtvvmCIuy7BK7E4HP5VsEte1Zxgh5P7PNZbUKapIQhdPuSdlfR6rqsdnyWWwFLrQrLzQpLqzUWV6ssNWssrdZYWq2y3Kyw2g5Y7WQZ245Lq+PS7Dq0uw6trqLdk3R6kk4fuj3o9jW9fkovtEe/rzPnxFgtHkEvskVo7UiwEktWY4iiCJl0uXrLMv/ix85z064q9357A195eNHZvS3+ngPH1ux/7KWt+95z1/vM1+/5zJ8r/v7cGfz4XFceO7f6/XNzp//bfY+dDN79+hY7d7SpPl/n7kcmSMKE97+xxQff2GG8nqKktk6JSm0Q6aR4joMbO/iOou9apgldSeQJolgQxiILGCGKpXUQkoHtl6SaNLXuQmoyp6QoyBJIaXW+4wg8R+B7ksCX1CqCRtUwXtesmQyZmWiTmFU+/4jkk1+dYjYIuHKzYPM6l63rNVvWrfDFxw3LywG71yomGlCvxpw/Lplf8fG2QRgLZsYk4+Nw6JhhpaWZWwy4dGvAG69rc/fDAVN18D0PJce5Yofgb7xzHlfO8+VHJ3jlTMCaVszseMJYTVGvKKoVScV38D3wXXAc6zDlBAFWqmgEWkOqIU0FSWqrE+ME4tQQJRDHKXFiiGNNlD/HOrMdc1fGWpC9RNCPBe1Y0IwF7diQ9EPGghYffPsSH7yzw9uulxw4EbH/7BKbNoTU5GJwak5+fNdmHN93/wD4c00G/bkCfPnEF4kT/aHPfmXfv//yw0cb+88FnP9alUaQsBIKCHy+9tQ0j+8NOLe8zN95X4+JRkLg24yjDSRde0QpkevgRVaaRLFNpUexBXmUWP83TiRJAnEKaWqdBK1twKW1yXs4M3BbgNvAVeA6FiCBD9VAU68kjNcTZsZ7TE+s8u39Eb9zX4UDx8bZOuayYy1sXOuxcQ3s2tyim7R4cl+DinKZmVCM12G8HjIxluB5DkLYm6sXeiy3Yla7hmYnYX7FY/PaOjfvnue+p7ocONOg6se4ykOIMXZsUPzwmxe5ftc8v3NfnSdfHmep4zDbSBivJlQDSSVQ+K7AdyWua2MVpbLVMOurNNgeVq0pgJ6kmiQ1pGlmLSaaJLXgTmKIEjM4YuvK9DNgdxML7nYC/V6CTnpMVdv8re9d4h/+QJdaxaHT9alWIr7/LXNUfclEzSVJ9zbOrFT+05y53PvF//SVT/6Tn3n3Xz6AHzq1wpKQP/Hcs3/0C0++cG7q3HwdlQrOzAVEif1k14PEcVgNXf79Z132HVnl3bd3eMM1bdZMR7TbFXqhh+d6+J5LGDn4nrX3coDHsSRKJElqwR0nGTOlMmMq0Fpm5bQZuG2SMmNuK3dcx+C5hsDTVIKEepAw0QhZN93ifLPLr33J5WtPT7K8UuOSGcHmWcGGWY+Ns4Jt6/s43iqfecjh6KkaO9dIJuqSsVqKlCFnFgy+I5ECjBFEscOW2RZPkdLqKlZahvPLFXZuDHjfG5r84Tc9jp/3cZ0YIVy0qREnkuu2rbDlB1p87dkuv/e1SZ45XmPDhGC6llILUgJP4GcSzXUEjsIGzlIUNRkGe5Npg3VaUgv4HORJaohTMrBDlNpalyhPHiWCXgLtRNKJoRtr0m7IxukWd1y7ynvu6PCO6zWurLC66pMkDq5SXLkVokTR7btsmqmzuHx6au2G6Y9+4HvvUj/70+d/888r4/nnAnCTNkG6f/1P7n74F37ni/tmV5cSJmsC37EnpJ8IwhTCVNBNHXpS0YxcPvNAwIMvdrh2d4sfeHOX77qpyfSYR7cf0As9fNclSlyi2CkCpSRRxKkkSSRxKkgSSZoKUm0Py1aCQpWUdL5S1nVwlcZzNb6XUvET6pWQ6fEOvbjHN18yfPaBMZ58eZwJz+WKDYZ1k5I1Ux7rZyQb10Rs37DCi8d7fOmRGcaUw8yYoFETNKoxzW7KVx8PqHsGISyweqHDu28NuecJWxPT7GjmVxw2ztZ5720dntzfZt8hj5qfoKSwINdV+pFiyzqXH35jk53r5vnMgy0ee2WckysV1jYEY4Gh6mkCR+O5NkZR0t7IlskhLz/SmVTTerDCJRnQLUFAnAriNAN2KugnGWunEEaaJIqoVTq8960r/MCbW1y7M2XNpEO/X6PV8YgTlzhxSJJBcNsLXTo9l01rY3xv7+zzz2z5hbVb7tSnz7U/sXFd/S82wI1e5bFnO5yZ50deeOnBf3fyyDen1lQ6iKoiim0CxVEGP7GSIkoN1dSetK7y6HkOp1s+Z5+o8sRLHf7wijbvf1OXt926yuS4RxT6hIlLFNsTF2dAT1JFkmYJm3QAcG0y5taDmjIhLNCUtHUcjqPx3BTfi6n4EfVKj5Qe33hW8vvfGuflY2OI2GfrhGHduGF6XDEz6bF2WrJ+Jmbz2hanFtr8+ldqJGGFjRsF43WHRg0a1RjhRrR6NcbrBpEF0nEimfQViU5oxx7tbspKS3FmocKe7XV+6rtX+egf+JxYqOGoOLsxHJIkoB9J1k75XHdJiyu3d9h74gyffaDCfc+Mc7ZZoeYr6h7UXIPnGFwFjrTpfCGGq+s0YLS96VItSA0kqbD+eSqIUpsk6qWCXgq9xJAkCToOmQp6vP1Nq3zwTS1ef0XCWMUhimusNP3S9XGHXJsoVvQjh17oEEaSvUcMC49/Y/YD743/3fU33JEYc/K3T52bYPP6xl9MgMdhh1uvD97z/DPP/Jev3PNAQ8er1CoBcWxo91IrCZTBie2JdxPwUvCkoaLtiewqn27iMh8GfPnJGg/t7XLj/R1+5nvbXLa5xey4olF1iGKPKHELdkhSlYFbkmqJNrbSzRhR6vDB1rEoY5NFToLvJbgqotWLWWjF/McvBhybn+DZfeMY7TFVEcxOG6bHBFMNxdS4y5opydqphA0zXabGV/jac5pnXhnnyo2CibqkXpU0qppaJUK4Ib7v4Cj7+cZAmkp6oUOvH5NoQbunaXcMyy2XuaUGt+zqcPOeVT5zf0BlWeHI2ALSOCSpRxTbHs/p8YDrd3S4/pIOT91xlhMLkt+5b5z51Sqnl3w8Jam5Ai+XYZkzVRB5LlWwTJ4YQaIh1naF7ScQaQNpAkmMVCHrJ3pcucVejxsuS2lUHJKkRrPtE8YeSeLYFTZVBQHFiSSKHcJYWo89dGh1JWEimKq3eem5B6cWm/X/svOy61aisPul/5WY/F8G8GefP4AbrFdf+JOPXWJ6Bxu3Xdbm+Lk6yy3w/YQ0Y1EprOfsSIMrIdbgKvBT8FNDVQl6StB1fHqpy1JU4b5nxvj2Kz1qfsiPvqPJxqmEret73HJ5G0co6lUHIaxcsVlJWyttTIm5MQhpUMJ65oYEZMLeY5Kn9zvc/WSdvSfrREmVuqOYqRgma4aJqrE+eMNhcsxhalywdjJh/UyPdTMrPPRyyMfunmXduMNMAxo1RaMmqFcTKn7Itw9a1nJrFlTGCKJEEjiKa3b2eOKlcVv41EtZbbksrvqcX5zgp955ntOLSzzx/AyuBESMhgxALmEk6fQcJuoB440aN+/scseVXX7gzgX2n9Lc82TAk/srHDxaIxEOYajoxgol8tKHcuCZ5QSMJtEGozWuSBnzIgJibr62w7Z1fTZOx/zQ20IqnqRWcYmiKs22mzG1kxGOKlg7B7cFuCTMPPdu32ZH0wSWVgIeeLbN1u1fbbyle+iS9333j6ul+cPp1Owlf3EA/uQzL1OfmPAee/zJH9t32Pv3Dz21yHfdErFprUOcVOiHEtfRaJ07F8bacsrgpAZHWs3nplYDBkpQTQWhhn7q0ktdumlAu53y7z4zgUli1sz02bO5z9RYwvvf2GPzbEQci0xvSygxN5n+lFIjpOALD1Z48UgN4TicOFvlzPkqQUUx5gvGa4ZGoGkEUK8IxqqKRl0xUXeYGofp8YQ1U302zLZIzSpfeKRBr1Pj0o2GRlVRr0rqFU09SHDdiK89ERB2Je4syAxMcSKpVRRvv7HHw89pOqGk00tpdR1W2w5zS1Uu21bn/a9v8ezeKieW6yipgTjTyy5xqiwjRpJO36HZ8ahXqtQqIZdt7HPTrj6n5pscP7eK46a8cNThDx+oIpQtXEPI4YtoNKDBGOIoZcuahA++scd0I2XXFsOaKUgTlzCqkyQuKy2XJFbEqZPFQRbQOcBtTCQzZytzvCJJmNm6cWJXrlMLPdaubfLmq1fZMbvz3+/f+3R39+7ZT54/83y0ZsM1fzEAfvzkac7MLexcWTzza+dPPCvTfo1PfsXl5t0JE9UUMDhKoN0B2JQ0qFTgpFauxKnJAC7wtSFIjQ1ytCFKBaGWhKkk0i6xhoVOgwde1BhS/uRJO7IBo7Mjz+JlFllRkSiRSpHEDlI7uI6k7sO2GUPN1VR9TdWHqi+oVST1ipVDY3XJRAOmxhJmJkLWz7RJWeE//lHAoy/NsmMKJqoZe1cl9UpCtRJRq/aoVKr4SqJkpsGxciCOXfo9QS9MaYeKTl/T7mnbMlfzOH1+jNftCfnpD5znl//Q4eSqjxAaY2J0aogTlyiW9ENbxlrvOdQCj2oloOpXCfyYeiXiuksjPDfmhksTfuhNXRyVILNcgxBmWJRnkk5riRAS31WARz90WFpxbN1Omsc8mSzMgJykFtRJEfAPO1v5cxhblwugGghuvyblpj0wvzTJl+99Sd58k/drjlx5pNcLX/5fgc3/aYCffOWzrF+TVL797PG79p86JmYmPC5Hs9KS9HuCNsYWTCmBR8nBkAJVitid1PY+JnlEnwoSbQaRvbb60B6CSEsSI0m1Q6x90sz2Kj9E9nlKgCMEjrRyKKgYAscQqBTfBd+BwDNUfEHFk1QrkmrgWIDXBON1zWQjYWo8ZHayw/rZJT52t+b37lvDpnHFdF3TqCnqVUWtCtVKSr0Sc25Jc+ScT+DZGxrySj9BP3LYtlazdrpPq+/R65uMxSWrbYd6JaBeHeeH3jTP0XNzfPxLG3Ckg0GT6pREG+LEsXMXI1sU1Q0k1b5DxXep+CnNto0xPDfFdVJcN8WRtlFCSpvOF9lhS1cEIDKQC5o6q7LUNq5JU4nWkkQP4p0kFaSpBbRNHtmfWaBbFyZJRZZQskea2vPQqAp8Z4wXDo2x0hIsN2MefPQF8dS+8C5Zu+TIL/znL/Z+7qfvem0B/qn7fG+yPv9Prtm8/5/cftWKPHJmnIrvUK8qwtjKErAVgvkJLTpyFDipsB5s5llbu8p6smmeddO2/NM+DyrlrJcrikCprLntZ+afC47UOJKspgVcJXAdY31jRxD4ksCTVHxFJVDUK5J61TBWSxmvJ0w2QqYnumxes8STB0M+8+B6JgKfNXVNoyosuCuSWqCpBQn1asiTB+CF/VUumTFFPbu15gS9UHHDLsOlm3s89fI43dDQ66d0ek4GcpdqUKESjPN9ty/zwsF5nti3FoxC69SWwyaGJDZFPUkvdKj2DZVAEXga33PxvRTf0ThOiuvYEmOlbMOIlPZaIAyCgZ4bBOe2hFjnjpTO7deSFZsDW4sC7PY9BbCTHOTZCm1zE5bYun1JPzasthLmllIOno3kZbuO/Muf+UHh7d5a/8jP/TTRawbwViuS7W735//Dr33iHzzzzFnvxj0pN+6MUHIGbTw6PUmcGlJt0Gl2QqUFd6oMjraJBSfNbCpt0KXXaZ5xM3nmzbau6UyF5MmbUuZ9aMXNU9V5QsfqfmEBXhRt2eyf7ykCX1HxBdWKoF4xNKopY7WE8XrI1FiP9TMrPHGgx89/ag0nT4+zfVozXoVGRVGrKGoB1IKUShDjuX2afVsN6SpDeeZ2qi3DxYlHoxLTTTTdrM66209pdyXNiqLa9gn8OlvXxvybH2vyrz4teXzfGgwKbTRpqknShCjRmQWn6PmSSqgIPInvGXxP4Tsa17V+v6OMBbjKrkUmU4Qwww26WWrfZCRitAV6mgE+1YNnS0wyexYZ+CmAbVdmC/CcxOyzvUm7/ZSzCzEHz4Vcs6fLtduXvKg9/Y+DybvcKOz/c88P/szp/D8zwI2Zx5jlj8wd/+bfm1Bng0OLM/zJAz3isM9UXeMo8D2QSfYLSwv0NAN3mgHfUWbAzqlBa1OkkXXh0YLRxnaRZyWg5YMRgGeyOwssrUSxNeWDIi0LcInvSTxXEfi2KKviG2qBpl5NaVRjxuoRk40e62dWeWJ/l3/1yWkOnJxky6R1WOoVSa0qLXtXDNUgpRrExGnE795fRyqFKw1KDGxCbfKl3OWH37rC15+JaEc+3QzgnZ6i3VE0fYfA8/HdBrs2JfzbH1/iX3xS8NjLa9BGkmqbVo8TTZxV94WBLXf1fUHgCnzPZjY9xxQZW0dppLLeuBTGNkrkAB+kPIGMRLC5BOu2ZIG8ZpBMM6CL5BpDAC9W4BFg59c7Lw2QEl53Zco7bvHo9+vc9/Bc8MLpb/797/muN4kT51Z+bsu6if+9AP/2kycBffORvQ9UNq8PMWaaY2cU+4/U2LjGw3Uta+JkmbRUoLSw4M4YPS3AnL1XA4bWetB+ZYEubB1FDur8xI98rxzgeQ1GnsnL2dtx8roTiZtVHfqeIPDtzJOqn1KrWHA3ahHjjR4z402e3N/l5z8xyd4T02ycEEzVStIkcKgFtn6lEiRU/AjXDTmzNIGrBErqzJYbBJlpKkkSxboJQ5LEtOLAdsqEtoKv3ZdUuorAc/HcANcZY/fGhH/71xf4p78FT7wyS6qlBXhqiJM0Y3JN6GuCSNL3VCHBXBdcx0o0W6di3SuZe+PZ80UwbuUKWVIIUSSHdJYcyrPFaVpKGqUDkioDu7je2hTPUgg2rfHYvNbjzJzg6BnD8bkFejxUEeG2m5GSP+vjzwTw1rlPUV97uPrRjx709h52iVO4YZdg81qXNNPBgqzEVYLSoNWgik1rgZaG1JRY28nBXJYhpgC6yeVI/vpVvpsUgyIqKUFKUYBbSZk1SuTyBAIXfE9TCQwV3+rnaiWmUY0Yr/WYnmjyzKE+/+I3J3jpxAzrxxUzNc1YRVAPJNVAUa0IKoG9OWyqP+KJfYJO3yPISnyltBo8b0JItSBOHGqB4pbL2zy5t0E3zht5U7o9RdtX+J7Cc71MP49z2SbNL/7kPD/7G/DYvlliLYm1zpqlBz2YoSfxPW3Z2x3U0TsqP8hkykDGySzLezGQ50khkwM8A3xaOC8Mr7y5tExHAU3pGg96YAHOL0u0hl6Y8K7bbOXnPXd/zVus3FT96Me/0P3HP/m9f/4AP3X8OARbxh955OO/fvXOhdtrrsNKK8AgadTsCcmXvfyhs6VLGQv04o7XoJW4OGuXAK0LYJdOSKa9i4shbEGRkBm4syIjVQDcOjmuY5nMc7GdQF5WYOWnVDJ5Ua+EjNV7TNRbPH845F/85gQvHJ9l7bjDTFUzVoFaIKhVFNWKolqwd0rgJ9SrfR56wWO1GTAxMUiT54DRmU6NU8XslOJNV3d46Gltu2giXQK5JHAlgevgOh6OU0FKzWWbDL/wk/P87G8YHjswS6wd4qwC0Ja9Wib3Y1lUF3qOzGrnBY4UKCc/NxTfL78Jc6ki8qo0Bgmh0UOXnrUuPRcr74Cpy+RVBre94W3zcm7tvnR4iuVWTM8s3/6Ot5z6rQ99349++IffdWZ1w4b/sY2y/ocB/srhswT+ws/+599b/v7b98yxe+sE5xakzQ5mOq3MrjYSN6VfXJReU8iPtJAhFOw9FEiOMnd2dvKMXKG9ZV5BN9DdecWgo7D1GY7BdW1jceBpAi+lEiRUg5haEFKv9pkca/LswZB/8hvTPH90DbPjLrPVlLGqycCdsXcgqfiW/QM/oepHJDqkHfkIJXFzBi80uMiW8cwvjl1qXt+WC0QBEznI+yldzzK470lcx8F18g1oDVdsNXz0w+f5R/9N89j+NcTaIUwFUaozFhcEscZ3jW0CcXS2etnmEJWtaHnPq5UporQC2rNa3JjlWGcE3AUJlYgpB3cB7Px9RmBGD2xdk99HhkLCLawknFvRrFk7zw1bjn3/mePPHdE6+qf/o3j9HwL4/kNnuGT7+i3//CMfv7K1NE/dq+I5hvF6Qj+0/qfOliuTLWf5wB6tR+7wEcAPlrtBIDZgCjF0txenOmftclCZL7cSnKz2xXYBGVxlge05pqgeDNw00822ZW6i0WWs1uaJfQk/97Fpnju6hpkxh5lKylhgqGfgrgTWTszBXfFTAi+hUYvYd9zw4LM1PClxlc6CuIFHkQfOcapItMMbrou5ZHuHIycrzFSxfY6RnWfS7Wcs7Cgcx83mwVi79fIt8It/Y5F/+huaR/bO0I8rNhmWGKpZDbfvYkHu5KuXLnpbpUqLFU5JUQK4KIGcC/TKAORmGOCllXYA8JH3xfU3F1kRstJdbXtAkwRIA06fWcLIJ6688uaf2tJZPXeiNr7ufz3AdXgW4TW2Hjnw+K9snWm/p7Y7ZSyokSQJgZeipMksoUFkbQoPdRAo6swNKQKVgrEZ+nl5SbyAQSy3ZAw+Am5hita2HAyOyljbMXiOxnU1vqvxvYTASwj8iGoQMjnWZaXd5eGX4Rd/fy0vHp5mOgP3eMVQrwhqgSi8cuu8aMvengV4xQ+J0pR+LyBQ9iaTQgxV8uXnxQaajtXyTkgYGXqxKAFc43kpnuvgutJOFZBuAXAEXLVN8IsfXuHf/UHCY/unONts0K9JxlNDPTEE2cQB3zWZ9587KWYwsSCTKjnAi++bfekyzguFmF0UU1yrEthHmLxcfz647qUVunQzpDov1bX5iqjrcO/Dgl07u++Z7z+Z7rjkir+/d/+545fv/tOB/E8N8C89cADXrd50+sSzd01Wnub626qEkcqGzVhGsLZQuVxVlICd1WWbYcDbkyBKLEDppJUZ257isirML4Id95Czt8nkiSkNB7Jlsa6jszETaQFu38vAPdlhYaXHL/xulS89PsNiZ4KZMclMkIE7sLq7mgWWFV9S9U3G4FZ7B34ERHzreY+V2GPKZ6geGzG8QqWpbX5o+A5vvLbLEwci2rHPWNGxrvFCW6vuORbgjjIo6SKkTdBgYPcmyS//TIt7nujxkU+s4fTiBL1xh3FPUE801QT82I5e9pQdaOTmgaYURRCcP5cD9fKNKUTRK1JcH0bAXTBxYS+aEZ1eargYIrlBYi9JLYtrDfOrhuPzhhdPvsA/ukTetWG8/7ttt3f8fymDrzQ7jDeql/7BHz/wdz/9xVfYs1XzDm+Byzb7aO3TjxyrJxNlkw9ZtktnyYCB7hZF9tHkwM/qtYdsqFHWLsuS7ETnzFJkRyVFhrQoy5UW2La3M+vvdFM8NyHwYnwvpl7p4ThdHnoh5be+2uDuR2eJdIPZhmA6sLLEWoC5T66yQ2TMXWbvGMcJ+fYr43Qjh3XV/PuMMngeZNtzFriKmy/rkWgL8F4sbNd63rkeahscOtlsmMzeE1ly3SCYHhd8/50d6v5ZPvHVHg+/MsVcXKEbSBqJoeYYC3Ini0OUyeISk4E8P4diUDsuQTJg8dEdBQupko+ogBFtbobe64swdv6z3EpMdN5oYbv1Q2PYvW2Vt14XMu29RK97xd+dXPP253TaOSRV7X8e4C/tO8n88W/SrjbWT3tH77huK5xemmbv8TNct7ONEholPaJEoWKHJFU4qSDV2lqCRo4AXBQXeEhrUwJ6AeyS9VC2r4QZkSZ5Vq482k1nNd8ZuJWtxfDdGM+LCdyIarWP53X5/fscfum3ZzmyMInrB6ytCyb9lIZvqPlQ8wVV36bxAz+XJiarX0mzlcDKk8VWSify8JTCk6YIMCn9KvmNndduRIlLxe2zdrzHardOLxbZuDUbK7humtl8KrM7lQX4UOBqKx/f8/oON+xZ4Bd/p8/vfW2G5aRG13epuZKGY2twfAc8RdEM4eRJn2zlk4VUGSSAyqQyLFbKQOeiK3AB+NwlM8PytGDuLNsZZd1DK6HAqJjLtkVsmBjn7m+5zBw8dcea9Q+vX1ltHQrbJ/DrW/7nAJ6kKUHj9VufP/jix/a+8jjvvTNECsGW9RFTYyG9UJJqg5QuUtrMVNF4oASp0SUWz1K+ZlDvUPzyDIJKjLiozy0wAzaR+SDOEsClybryy8ydZiBP8BwrSXwvxHd7HD+f8PF7avzxI1McPT9Bo+oyGcCEn1L3TZZ6z8EtM3DLIikUZNrb9+yN06iFfPHbDodOVAiyCVxFuxgDlJvSzZ6mkjhx2L0F3nVDm9+6d4pO1aER29kjfpTFDUrjONK6H4oSyN0SpdpVYfO05Od+sMuV207zG3dPcnRujOWkQtd1qClBNQO6J429cTKXqVj98vOa24dYfT7IdJoLffKcmPLSCXNhLFUw+RBzWwwkKdmmXbY9rp0IVhPQPcNn7xvn8RmXNE15h/MY73nb1o9t3HLrO8Lu6n9XqnxHgHd6CdVAcf9Dz2381uOHdvzeV2Jed2XEe+9o0qfPHidkomayeSYWZLHUtqRSyyx9K0vAZgTkJfY2omCB4mQVtG2GdGAO7Lxwa1DjojPXJGfvFNdJbOeOk+D7IZ4T0k4jfu3zHp+4Zy1nlsbRqsLkmGLSM4x5mmrG3NUifS+zOpVMmmTeeQFuz2Yvwzji0GmfTuQz4WcuTp50yl2JPAtrSjUpsUOj5rBtY4Ty+7SjOj1PUIntWDQvk1duJlGc3PUQ6lWCV8XMWJefek+Xu94wxyfuafHxL0yx2KvRcwICR1F1BBVl8BNj2VxmNfpyUN4gS7Nphpici8iVUYeFYSYfgFsUwE8z56xg76yTqJuBO4n7rG+ssGtzwlRdctftCdfsgO7Kvh3nnLGN6zZdf9yYBCFeHcbfEeD9znkcUZ3ZvNb5fLz0invTthpnz1T5yCcnObuU8p7bz/DRDy8TeA7GyAJ8qTTIVNokTqkSLQ8yjSlXrA3YOw8iL3yYkh04qEgckicyq5JTdraK49ixE54bE3gRnhvR7Ed8+0XJ79/X4AuPTNFP63iex5QnGPc0Nc9Q9Q1VbwDuwJf4vsTPpIlNDGXORAZwz7WZz2PnDA8/UyWKXfyauSDAzB9FmjsrRY1ihes6vOmGNp/5RocDp2v0Als7HboGLwE31riRtmPspMhkhCwSajlJFB67llR9hzXjPf7R93W5bHPI791X5+l9Yyz0avSVh+s6BI6gIsGXmY2a26vSptCLgjVROv8Z94wWZ5UZvViRRxmcMoPbqsPUWIDHqaCvoZUI4jhhJmjzb//6Iu++pcrp+UlW23aDrdPzx9y3ftftn3eqzav7vc7Cn5nBjZqV83N7b2qfv3/s8u0pE/WApdWElVbKK77iyNmAbgjVRoqjkuzONqTSXgidB5qmJFHygwHQGQJ5xhAlAsf26FgmL1LKuij3tLrb4KjUAlylhRxxnJhmJ+bRlwWfurfBfc+OsdysIysB9Ypi3DU0PE3VNVQ9Q8UjY23L3BVfEniKwBMEHlmFns7ArfFdq7+VE3LwNJxpBjaxkunb4cTJoH7G9kFakCfa7s68piG4dFOPl04mdGOXMJvx7UVY8Kk0kyh5ogbkSGdOEevovE7b1od/8E093nbjCt98rs2nv9bg6X0NltpVmtKj4zl4SuBJgS+xPZzS4Ig8rslbDbOy34sw+IX1K+UbL2dwcYEGT7ICuljbDq6eFrYPVCfUvJSt61z2n1jDoRMTLDUli6uak3M9jq5+c+wHvufOm267fue9fIfhQd8R4Do86isZ/jeZHKjt2a4Zq9VZbip6oeL6y/ts2RDTCDyMAaXSouxSSV0UyReSBIHR5UZgMQRqU/xf6cwNSZNBPbkoZIkeTMKSqR2In7sZMmahnfDQMw5ffbTOlx4eY75VQwQBbt2l4cCYazt5Ki6Z7MCOevNs44MtOc10tyfwc/bOAe4keF5C4EUYE/OtZ31OnKswPSlwpc50rBg0+pbYrig/zSRFL3TZskbwpmu7/PHjEZ3YpRcLAtfgJZbFw9iUVilV+NUIOSRT7CEHjQra+u0VP+SDd/Z4yw1L/Mkjbe55tMpDL9aZb1bpCTvVwHEVjhC4UuBKiStMJrUMClGShsP24UXI/EIGJ69IzPQ3lsGjDOCxsb0AGA0C5ns1Pvq5CjsmKig0vTBltZNwYt4gl07W7npX8t9ePnzmMqD3ZwL4oYMv0+50ePK5Dt91c48922OWmwFJIpkcC9m4RuBIF2MsuITQSJGitUIbgTIy09u2R1KPyBO4MLWf88FQQFkCtv0MexOJDOCOk+I5MUEQ0w9TDpyB42cVn71/jHufbjC/UgM3wGm4VJWk7hrqjqbiGiouBK4Fd+AKK0NcO75tcIjsz00Gcl2A3HNte9qRs5qXjvngutkyb0opejGEgjKrpVlyLEntOOcrtoXs2dhh/5kqvUBQTQR+bAgVmbWnM/bO3ZTcghxolcJnL+xalU0fcOlHLpVKyIfeHvLuW1b5+jMdPveNKsfPBuw/UyVa9Ul8h77jIJW06XzAyZ5zJi+kC4Pgf/RRjq80A1mSGkiBJAN7WliKecuhBXg3qfDACw5npjTT9Yg4FSx0BMINefOuDufPHWR1+Ttbha8K8IXzJ0UU9//uA/f/zvTRM4LHXmnyA29qMTtRRUkHYzRChAiRolRS+LHaSIxOMzBnAEeWmGWguzEDV2EI3nmkXmg+m9SwkkRnW5ik+L6dpJqkKXNLcP8DDkdOV3jwyQpnViocOVsD30dVHQJHUXMMNUdbF8G1g/MD145rsyDOD5kdKgM4mebOwO2m+K5lb3tjRRxbgH3Hq7hy2B4sJAqDevBBBi9zUnTe0+iyZ0uPS2e7vHw0oZu41GNB6ICX2JmAqgRwKQVCyiEmh2ELrpBBed9kqohTl9D1aFQifvitIa+/ssWZlRbfesrj6Cmfrz9b5exSQNpz0dIh9hRCSrtSZF35kizjCYVsYWQBvkCmMNKkUthmObBLfbVCgDQkQnB0WXJySSJUSjuO+JG3zbF70xjPvXBw+sc/9EN/99SZMx/dtGHDRcO3VwX4/Q98myRNvv+LD8zVjp83PPzKLA+8GHL7VV0u29Ri7YTm0u0xntCY1Az83WJsg30eBvZAmti03uCsmOxUFD73EHOXpIhKcf2UODUcPSV46aji/iervHzM45VjFVqhTxj54HqohouvBFUFVUdTKfnAvpPXaeRls7Yu3M9kiecpPE9mN4AZaG83tZlF1+r8wIsxOuL8siQ0Po4j8aTBKdlsIwRegDw1w/2OUeIicJiZjJCqTyd26TrCOh3xoGDMUXooAylzkxogH3aUScKCyUuDkdxUFeMnuqHH2omIzWtirtse0ot6/OixJi8f97j/iYCXjgUcPRkQJwp8hZEKhCSVpWxQOZk/0sQ8lN0qnvPGcDMANlnqstQ0TiJAKtZvT1k3YQf3v/7KkGsvSWl2NGsWDtaOH3rs+4VwPvo/xOBfuec+llfb6pGnDomDxxSdsEGYKr72lOGhFyMCemxa2+LKSzu87YY+d14bgQHXNVSqxvrYRoKWpLEYAJ3BrBLDcHBEZjWSzS9xHQNCI6QhjgzdvmX046clf3CfTzdWPP9KwOFTPosdjzD1wPFAuaiGwpOCioKqMgQKO85MZYVHyrK259pxcl4Z3K7Ey2SJ79muJOua2JS562g8N8kyonZo//xKyv2P1Wm2fSbGBE7mxedFX+LVlm9dCgi1JAwV01OKt93S5+tP9zjZrNFzpZUpDriJwY1zzzrz2GVq7ULKs05k8RnaOKXPsED3UkXqKBLXjn2IY9daqW5MzYt5/RUJN18W8t47+hw8JXlhn0svUvze/VWOzbkgJN2eQxqpvHwT4+RL74hlNARwM/xsNCIxCK2zbKimUrO1QgLNG6+JeMsNfS6/VLN5ViHTCr5boxf6eEJSdRXLvVfE2MwN6pknv5lcf9Ob/nQAFwKmJuq/ZqLuVZeus05IPzI0ezDXCjjbCji2r8LjL3f4w2/2mZ6IMFpz7c6YD765b9vRUpgZ01xzRUwtMNn4NJGXT1xEsoliOE+zK3jhRYellqQSSJ7c5/KVRwL6saIfK87NeWjhEBsXLVxwHITv4EiJpwSBNAQZsH1l8JWxNeBO5vk6A+b28r7MAtwq69EUBXt7rsbz8gKttGBvz4tRKuKB5xR//Hgd5TnWbhvS36/O4LkXnhad6Yp+3+Xdt/b40rdb/N63xugkAbVMh7u5Do/zpIwpuoWEkAXA7EfJktYvAVxnox0cy+Suo0gcBydJLdCVlZyukzARJNy6K+GWXTFGhLz/zi792GYav/yIz1P7PCq+YLGleOFlj1ZXZipJXPQKD5IAVp7UAs0110RMj6e2Gyg1fPDNPa65NMZomB6HiYYiiQM6vQZLK2OcmqvS7Hj0QkWcGFxfXjW1fvzXjOGn/lQMvryyzPj4ROPRh760a+cmoWbHfKIIOj3NSivFU5pQS/oEhLFhrimZW/HAaA6e0HzlgYbNZqWGsQnNTVdF1Cu2JY1XcbmLWz1zHVY7iqdf8mg1FdKRdiaKcSwzCSdrFXJAOkgpcaWwYJYGX2o8aYHgKfDUYEafBbkYNDw4g6H5o+C2DJ+V1bo5g6elI8F3YoyJOLPoEYUB/pjEy9LeKqvKG8pilmqejRlkdIvudK2IYpeJumLTdIQn+vQSn14iqDh2CGZeQ5IntJQsl7fK4rPsZ8gs+aMHSZashCItSaMkSbO8gcr2P0qIkxQV21yCo1KkTNg4rbMVQ3PZ5j6R6SEdTbMpePolh9WutG2Kwx7vRdoKbY14LTDcfFXM2ITGJPZPKlLgCLKeU4c49uiFdue3swt1Tp6vsNxUtHt2CoFUiXLHOrve9953N8JwpeX7E98Z4FE4z+LC8keT/nN3XrvzLO1ujeWmS6vr0OxIEiJeWdBoY/URjgdGgdEkxtDMlyAJrVXDuQdrpSjy4gn4YtnIL44QaJVlHMhqToUaBDlSZlZWDuos7SzJNm7NfePSs5N10iuyrfcY2hHCc5XdGcITeA5Fiall8IzFHY2XZUddN8b3Y04tan7n6zVwPFwpBgFmIU/EBQxezvTlQ0It2OxgnSh2+aG39fiTh3q8cr5OJ3WpJnZTWlsFaAadOCrPCZSCPTGIcawSkKUCr/zQRS2M4yjc1M5LcTOgKzlImtm68ey10NngoBRHGIRJma5qvut1GkSayUxA5JvDvAqpZZlrtEQnKivPEOhEEBprTGitSFMHid0T9eyi5OXD0OpEtHua5bZhudMjqbx85w03XvnRJEn/1n+Xwb/1yNcRQnrnzp5kw/gSuza22Lq+QrNTwWjYurHJvnnB2ZValod27FHWV6UrmZbfF2Z3WaPl7FbSb0IWwYvIthGUQth9dIRNK/vCFPMNXZmBWuZNtaVCIofSHBSyndkGXfUDgMtCtvieKVraPE+XBuckuBl7e06MlBEn5gQLrQDhOPiSIXkiy79W6XKXpcMQ8DKnI0pcphohW9b22D8X0ksd+in4qcBNDW6S6fCEwlkapNDVUKdCfsrtpN18FIcoSSONk2pSJVFOvn25yorVUqTS2UqhB9ZsBnKRfzZ2SpbIpmXlBkHuhBVVoGUOH8p/DNriihszr5UUhkrQ58CZlD96rM7ZcxKMZqVnSInZvKGH1sd46JG7Pa0vzPdcAPA/um8RIQTHT9fo9VPefGObO69Z5LJNgjVTGudon7FKDbQPjp9XPWXf9jtJkFd5CGGX1aIXUCAZpIjtVCpwhcEVGWjlYICnI0s/y8h+UApK0WDrKWHBPgRuu7+P5+VAz4PPDNx594+jC4niOlafel5MQsw9365wfqGCO6bwyjUcZQeFEUVa0uBFlreU9OmHdoLtO2/r8O0X+7SSgK7jUEk0UZZOV3JQEJUXnAmhGXQO5YGmKGxJax1mM1UMthhOCxwtSJTASWW2i52t5UkyoA+SabpIsEmpS4m37HVewluAe+CKwaur8oub6GTWsLWEe2HC0fkOe496rJmK2bmly5uujnjTtYIk8dHiNBdbLYYA/uST9xIE/uueeOzJG/YGDsfnxvnygw2++lST118xzxXb+3zlkYCHXmjYNV86FqBCvGpYMbhnS4Rdep9nxPKkQZ5IcKCw2lSWMrbzTQYaV+XAlnY/+XwUQhnYxRwUhe1HvBjA84Az191OLktMpreHa8k9N8ZzI+aammcPV8DxcDJ54pQKlPLfTYycHOsmlaruir5UWXjicexy7SUhU+M9mitVuomiqsBN7O+iUmOPuAxwLMiLD5IjlZoiK1nNSiiUJtUCVwtSJUmVJlWCJAN5uXgtL4eQOchLoM5LJgSW1cvALifsylWI35n0BjkQY1KixOGOq/t85MfP8pWHW1y2LeGWy1x8NctLh8c5dd7Bq07ccNPN17/uvvtvf/Stb3nXxQG+sBojmnzX9GT/mtuu6rFnm8/l2xM+/g2f3/zyGpQTE6UOeD5CeUhpgwpH2B3li4KoVwH4UDUaA2Db3YUHAC+PXFMlkOeM5eS1EVkNeF7qaZuL804VK0tU0b0yAHbefGvZO9PcDoXezi1By9gDcLtFdWKMIObuR3y+/XId6Tt4Utj520UF4aCNbnBORrOZWZ1OweI20Ey1otd3ueXyHu96fZuP310nSn06qSRIDWFCtnKVq/50Juf0yA31akwO2pFZx7sowJ0qiVLaMrqU2WgJXSpFLtcAmQHIh7LNOZPnIM/APaRML77al/87+xkyqzQVvPHqiDuuWMVRihNzVX77ngYnz0rOLXa49qruNVWv812S5NGLMvgTL53F9xtve+mlL//gpHqFjZv6zPQqXLq9w90v1Ti7PEkqBSIbN5BfUCdnVhi5WweMXUoDDFWiDTJ8ZgD2cgo4B3lptEHO3HYLkvw9GYNTtGENsXjWDeOqYXDbcQojzJ31bHpZe5vr5A0HSemIiYj53LcapMZHFdnLcoA56GvM17chDZ43ZOtBgkwXs/1scCVw+eAbu/zuPSGrOqaXBvRSgZtQsLiUBpmIoujM2oWjWlSWrMlSwZMWpE42s0RlIHcMSlu5kiqDSm3hnM0ey6I0eWBRlqs7B2XM+U4aZR0+MFfM0Gqex2U56Ad4yMsxJGnqoGIPR2kg5cxSl689v0pqAjrdCP/YcXrRth983eve86DRx78u5NZhgI/5EbVq75KVhXjHH3zDYzWu0uzGGDHG8cUqfmDrkB2RlVQKg2J4OR5w1OAXGC2tvCjIhXVth5uHh1+Pas4c9OXZHkqJgRbPKu6Ght2U99R0S3Zhxtyumzcmm4y5BwGmU2Jv34149rDk0NkAo1yUlHhSZzd7+ZwMBPioi5If5X7VgV9tQR4nLjvWx+zZ3uHxgxVi5dFLBIEENzU4icjkW9aFk2Q6HGnlwtBHihKLi5I0yrtqcnfF1rtYcGftbMqUwJ3XApmsTCBncorVowxwcTEGH5mDaIFdrj8aYfEsgFVZ4s9RKdvXxvzK35lD49BqV5lf9FBa7uh10kvCiK9fwOA6XiHq91gzljJbr9OeE0SdgNVQUhPQCIwFIaOaL2fbMsCH5Uh5SbpAqpSXcoaXdVXUfA9st4FkEbZ7XgzAbYNMUXSLOwW45RDAy8N/bLc9BbCLbGXB3CmeYxM7tisoxhDzh9+qsrRUQfiO9d3LN+GINClOw5APPpgmUK7jLrxpbbcAmZ6UfOBNbZ493CBMA7rKo5JaLZ6XsypJBu58rdCZJ54X5mZSZUSP5xMOylOp7CFROl+RTPHaAlkOafF81rsFtBxicFmWKCMNE2XAl7sAhlj/ghVhuIRjdkzQ6Xn0TI3FJcXBYymz65fo9/sXSpT/9Ik/IEoEV27uc91lHlIaKm7MUlsTxrYgXZcuVnka6QXgvohMKV/jIXdhiMnNEGsXQC8mLw2aYsszBwuAFyyeyxWJcoYB7mW7JOfgtgmfjLWLVLzOXqdDh6Ns584rJ+Dz99UJpYeSKsteDt+IoxnM0bikXFI6rMMzLZ4qktTBTx0+8NY+n7q3y4tHK8TKpSslXqoz90ggU1M6P8a2l4myZauzzxret6jM5KkGp7AQ7c4bKisJUKkZDOvMJtKKvFFZQDKixwcgzK+vKcA6Snblmv/h1b50A4wMBs33OepHDsvNgJNzHi8dSdjYf5bta1+i1x/cMA7AywfPcPml66v/5ld+ZVvFP8yY5zJWUyw1E6qeRopstHGptHX0gpVZ6mLgHmXtolqQC1PaF0oUUQBndByyLDF2HmTmU5scJ9/kNdPeagTcefrezRuTtZ0ZUrSI5T2dSXbEKDfi0BmHduSBcjJ5YkbKY0dv3OETNjzQaMQLz7pxBokfh5or2LWhz4uHIlLt09MeQWprtp1MgythN3K1iaWcfDQUNT+6uEBFhjOrh3GKwab2Z0pDKi3gVbY7hdSDCQH5dK007+4vDIBBcFkEnqOsfBHADvAx3PFSMLsopYyKhm1px0WHimZHsNLSVFYjYtZue+t7fq6ahn+/q/zNFuCnz8xxdq751usu2fCzTvcASqWs9BxaPfulPMcOyix6JocGzY/Wul7I1mWwj7K8kCNavAC3GGJwWQSZ5aGaOcgZ1EirEqjV8C7GriLzwi24LYAHQ4Hcsjwps7fK+jq9iOW25j//UZ2lXoDwXStPpBlaVQaDc76zdTo0TUAPeiq1lkXqPkkcGlWHv/2+Nt98tsFS6BFJh56UeFkP5WDkQ8bgZT0rNHkZrUFn4NaYooR5UKftZDMD8yA9B7uSImNwK4nSwkXJQJ2PYRa5MWCGVuQCvOJCIA+fI3MBfszQi0FTepqRQ6OWMN4IWerCyhFJJ9zxs2l376PNVu9PCgY/dewAQnrE3XNsnQg52+zy3IlxZOQyXsm85OIOgmLs5X8nrzMK7gL/JeZmSH+LgQYvsWFZmuQdMgWwpUCqwfgxVQK1IyVOJkmcAuC55tZFUOk6ugC36+T1F8Ps7aoYz4v47Ldc9h6pgHSRUuLnpbFicJGLoDu7c1+1mrDE5sVOFSWZkmiZbfLkcsWOLu95fYtP3RugHZ+e9PClKJI+SgriQgZcyOSizOT5OOTSLg7G2MGoythVQRthwZ1PCdOQFvNTxADgpfni9vfPPlcOAJ47YgUORtm5BOBRrjQj5wzyZhl7c002Qur1Vb75ksfxE1VOnTzL8897dHp2YwgH4PXX2lqGqNvmiRdW+C9farC07LBxPA/gcpNrtGv6OyDcjKapRekXNEgGF35UogwCyxzwopAl/32AywHAi0RPDnBj52RnUsRVA7fELQ0HGmhuy96uY6dWrTQ1X36gzmLThyBzT0QpGHsViUK5IaBEDBe17XLLUEt0mrspDhMNxXff2eVL3+6z1PGJlEMvlZk9KTL3RgyaseWwo0XG3vmPdMHmg35JJ3dWVPZaZu8lpKq0t1IJ5EKKUvd9fr1GGPyCXk5DeVbjxQigjLUBIYjitcCWZUSxZO205G/dtcp/+IOQJw5qRN2l27OSzHniuUOYxtTWZ1749k8/9+wZXjzUoNdqsG0KaoFNkgw1zOb2FhRMUB73cDEGH7IFGVzwYVAPTzYtKvHyxMkQsIdnf5c7XOxwd4bBne9skDO3KjH3BQyej5sYjJxwlM1cHjsuOHgiQOMjpFM05w6qB4cl1lCGVwzgVpzH0oUzQyn7gaOitQ02MQ67t0TsWNdnaX8Fk3qWxVMrU5ySizOw58qFXpngzstoIWsuEKXgE7QcTP8txzZK25tGSzLtnV+XARnlg/Tzjp+B+yFGpMrghh/V4kMAHyGCoREj2BspSgRRMsnUeMAPv7XHfOsod1y786f3XHXH8x/+gX3Hnaqnqbr9tQ7qba/sN1TcSa7daqPiC2bNFXd73kM3XH5yMUIfnaNRZrWyNTgEcjmsw2XB3MPALp4V2Sjgsg9ePrItrVUZ3CWQZ/vVu1lpaM7eKnvvODFKxdzzeJ1DixXwBvLELVmXQzcsF46LuNgFHJzPQceTLu9ulpfRRg7bpyPeeUuXp16pgnZJUqvF3TTL7qbDUmnAnHmBW24byuz6iUGwmb+W2WuZrSoyP+y5T7MVQ4qM1XW+wpqCmAYJHzHipgxrcfL3Fz03A7Yu5FRp3ER5xsrCisep8xU8R1MVPcLQedvyYry23xfHnalGSlBJ2L4+5Y3XSfqxR5TtNNDpafpRSpKYwkUpxuGWxxt/JxYvs3cJ7ANgD9h8NEDLAS0uAuyCzZUoNeGWwJ3NJxxs28GFwHYGA4KKEW+OzkCeWHmiYirViMcPKP7kgRq9vgdVB0cKXDEsTUa//+jvfbEleEh/j1iGZV88ThzG6g7vfUOfe7/d5ckDHqbm0kt9PEFxo6ni8wfyYADuAcjNUGinBzeYsmyeSqvHdYm186BeZ8Gl1KK0M4QoBboj5kH59VDG8tXpuzxOpJhpaITdMcLYLVLiVNAPBe2encQbxYKlVcnEJsHkWkGrBU4/TDAiIUlT1k0nTI73CGPB+SWPY2cVppVZQsU2FMNJiqEh5nBRG3GYxUvLVfGLD080HQSXogBNMS9PlXZvUCKrTRmAewDyvGzW4DiDEcpOtgmTo4aB7hZsbQ+lbIDpeRFxlHLvY1VeOVkF10VIlYEqmxtSCi6FHGbxUdcoP0kFa5OthCPzY7SRhRbP7cIocrhsc8Lbb+vwwvEKYeKRSpeeVngpI9+lBCQuBLkZ+S6o/HpqtBKonMCkwCiQZqDHixVVgtSlWYZ6sGoUY9+EQOiBm3IxsrsA2AxIczjrmg9Lyka9JYLVtub4uZj5lYQoAV+laJ2CiTEmwenMf4rEU3RWOiz1VwmFQSpJL6nTDxsIYS02lRXnq9RahqbYcuTVdfgoyPNfcDBKIV/KS6ydB5ZDAeZgB4KBNClZhQVj5wAfTE4tJErG3JaxTcHUTvE8eO1mwaWjYnwv4uUTgq9/u0q350HNRYq8cpCSPXiRLGZphSqfkbwWxZ40wfAg+ZGET6kAK4pd6vWIt98a8qWH+rxw1AfHo68lXqbFlQaVUpIJIFIgA571e0v+hBo4OY5iIF2kZfN8VcmDfG0s2KUeJNqEHrgpxbXU5WCzbJsONPnFcFJOgOUW6nA5AQXIjYGKD241Rpk+DaVpODF/eP9D/MH9LyJIcH77y02qvuDAqZQHnqvgOA6u67JpQrJjbcJYzbaFGZ1vAwgyFaTZL6R1Odo1FzJ4ztojIC9Lk8IelAMGtwAfZXCrt8vZzHyjq7yi0LZzZa+d8nzwEXBnh5tPoc0K/B2V2MOJcd2YxKTc/WiFh1+uQOCAtA3NbqmEd6g0tnyU37zKMjw8jVUUUxNyRyXVcgjoYd/ljiu6vPN1XfaeCEgSFyMUPeHgphTfSaQDFh98hYszeXmIvVIZY0rL5va9QGpR6PDC788ZPV9tMwYfYu8R/V1sOfMqDF52oAcD9UUxv7C8e5uStm/zpss162b6+F6Eq2KePjTPyfkuvpviKNaRxIK1jYg3Xt4lSW2dRjWQ1Cp2qpPEZjLj1CCSrIIs2602j9CHhmWOsvioNCkDvNTWJcvPZWAPSZVymr50ZDsWDIBeOpzBJqg5oN0SqHPnxDom9lmpGM+Nef645PPfqgMeSBchVNFFpLK0dTnrWr5h8/OR1xMOdTPloKLM3CUNbgQ6ta17dgqtKtL3xjh88I097n+sz9NH7CSBWCu6qSiqO6UgS+GLYr0YvkL2uxhjLIuXgW6JPbsJDVpm+/nkWjjX3jJjc2GfixVXl5wcOQD40E4XhekwCDqHZBMikygUXUhxCkkCcWJ3bpPCnq8DJ+qcma/iOIYogn7s4+FAbHA2zGqEFMSRYLLukaT2SzhZc66UVtiHsUCEJtNsGnL9nC+z5fVFjJzMIrgYBnhZrgwALgYAlwM2LxdaDYE8a00bbDZlMrDnA/AH4B5i7dJz3libSxWlElw3IU4THnyywkuHK+C6IG1w6QlTmhxbDqyGrc5h8h6Glim9KBogSjUiQ9WFqUSrzFFJHcLI5fIdfe64ybJ4L7UsHgqPvrbboxeBX5rbhZl5nJZuMkzmVgyYvFhZJBhlkEagsmtujEAYgREgjRiSKiJ/HrVKdel8DNWj5GdlIFWHSLyUCMv33UxS7LzGUGfbxBtkG5ZWbSm0kBBGGuWkuK4lXacfWYbwHc3mdfne5YNgRRtBL5S24Ti1d4+0hWk2WZPdaRfB9wDco8AekSZlrT0E9HL9iaDYe6fYvThvvh1qeBhsXaLUCLhLQ/EL90SlKKcE8EyieE7MoXOCT99bJ4xdqLqZPKFoTVPlXYLLzslQNPUqEsUMA31ozFlpcwBtLqbFHWq+5Efe3uXuh2scOGNvvlQruqmyVYZplvxBWP2dZmM5RlaSXFSWAS4LG9hKQmNsMGmk3ajKSGEBrrNrpgeSZZCkuzBxB6KwTgXlc3VxHV6cJz2QK0li6PYSWt2UMNKZihDZlF2BMZqtGyo0qtJuE9+f/u4164K9/2zP5AM0AtBGFR4k2H98tePyyrEaS01Z7KMjwLK44aIXsOyYFIDO3w+5JYPGgDILlivzRousZKn2QxXsXQK2zIPLYXDns/0Gejt7LfVAe2fBZWQSvvitGs8fqth2H+GghM1cOlkNdrm5uCxTKF3Y7/gY0uAjdpiRGK0tsIdALtHaIeq7XHtpj/e9scOv/r5HTzugHWIh6WkbI0gtCjkpRc6Ww86KKfSIXYkx9vcyyq4qyoDJvG9jBuDPwS1NRkZmeBXLJUt+TnT2Wg/hYQTsr3aOsj/P+wD6sebIuZTVriWDwV81JCkcWezyS//wqn925xu3/Q1n1+Th8XMLy++459gKd16V0OvJLMjJPUzJmSWPbz0Ha8aCoS8tyt9q5AsWS89FAH4BqEdrUMrAGaoDN0PauwB6SZKokvZWxU4PpY2olBmRJHmlYFqA23ViDp6VfOabVez8FcveRed+/vmCofHCsnThyoGmKL8xMKq/DRTFVkXqvrRplykm9Up0qkhVpsVTh+97U5c/frDKvtMuyAgjJP3UxUGUakNApBkvpnniJ4dECSDGZN3sZoD5gtEzvW2sbMlBLI39DKMzf1xbeaPLAWY5CB/yxF+dxUfxJAUoFwJPsGdbi0j1ObOssuELmcTTmn5fc8OlHZqtS97x0EPNcafmduh2En73q9N89n5JGCWYVNvfTkiko6h5LmsqgkAl1AKF49jZJYXdxzCQC4AXF7jM5MOyZLj2ZPj1EIsLUwouS68LxjYFi6sRcNuJrDp7tnagUlarqUyWKJmgMgZPVcJXHq2x79BAe0shrfdddNCMXLySFBt+Ly64eEMFRLn+psTmWowkfGznu07tTMA8hR/FDpddEvLu13U48hmfKFUgHFLh0BMCJ82kJnmgmzsq5ZDODELg3Akzg5hAYaVJweb5IcwgxS9ASwt8LUq6vBR05ww+rMkvBPcojsoYcJWhXjGsmfL4mbu6VCtNPC9CymwLwsShF/oksWQujJlb6uMsrDSQOuLyNS6LbYdW6hNly6WSBl/CuAtj1TyhY4pTdLH9FMvugcx+UP6yecBZBvPQsxwF+IC18/dKUhTgKzlg7gLoqszkA92t8iBSlqSJHAzNVyrFdWOOnlP81y826EuXfILWoGs+W0HKNdDli3VROrrIypsnWIo0uSklNkq1KaXUfbk+JdUOSeripwl/664Of/RglSNnHVBxJlVcekKgcnlSFLiZAXUOMXl2swFOfsNlP5MmkyiYjLVzT1wPsbnJPkdL+98MrcwjMddQmHLBSj/4MyPtF8klD8LQbAd4zgSSCiZNkNlWlnGi6HR9Tp2XTMzWWT/u4ezaqpluaObOpBw4oZiuWx2jjT0ZjrTLQtW3A3PKdddlgA9/sYE8EQyzfF7ldjEGLANbjLB2nkjJJYkFvR5IFDnM4M6Qv53r7LL+Lh3SsrjrRLQizce/1ODMvA/KyaxBmckTM+R7F6+5kJXy33sog3kxoJelStF4UO7RzFP4sjiKZgipSBOHDTMhP/meNr/4aY9mbKceGSMJtbK2YZp/DwOpYGAbDkA++H/7Jyq7C42hYG6VZzbzADSvVxJZAii/dsZq7fy65q+5CNgvAPUI6IW2/14KJKkgjAStriLVFVY7Lo5jVyhtIE5szuCV4zFjbcPEhMZ5dK9kfl5w4KRiZtxBZJ0hadYAko9fcN28Gz3bBjoLKIaydSMgFxf7whcBtbgIsIcDy0Fxfc7aeeNr7n8XTO7ojNF1IU2sHNElqZIzdlI8OyrG8WO+cLfPx/6wQahdK0+EKuRJ0VRc+m6jluAg1hiOSF6NxXNcDazCMujzlL1Ba11kN4sUvrZbgQdOwk+9v8PBEx6f+IrV4qBIhaSvbe+mTCkYfFCAla84gwRd2a60oM6kSg5qY2/yIgkjsp7MvBiqFEOZ3KoUBpMBWsOgmG6IxYcBXxCiGNxAOQmkWhFGEtdVKGm/eaoFUWyVwa5NPXZcGtEYi3Gu3CxojkvWOHYpXlwVtDspSRaUCClQ4tWYe/gLjn65iwH7ouAuA/si8kRmJ9E2GZe2DFSDYieldEmq5GAuMbkcVAcWurt4trMGl1fgj75ZZSXMwW0B7kqrvR0xLE+GVp3c4izhuYB1Cd9lrV1IlewPhqr68t3IdOl9uU5cSpRWaO2QpA5jXspdb+7yx49WWWorkDFoRYzV46PVhcO33Kszuc0DDZJCeX2KyrS6yFhcykyilIBfBqgofT6m9LNitS/3+A6wpEs4SrICqzC2rYn5qk7G7q2OZqmp6Uc+K2mN2ZkazuRkD9ftEvZWiaM6/bCG0W4RX49aeOWgpHx+hu7G8nIzAvRRYJQTAHntd1HXUa7xKALLcoPBcFCZD6cZgDsdCjDzIDPf58YpsbdbTbj7gYAnX6qgS9rbNjXk8mS43qSotSix95BFOHI+Lnxk7FmyCsulyeVmCFMOOo1EmYEvnqQujk64+YqId93Y5Xfu8UBFICRGCELtWJKCYjJCnuEcfLWSJi/54Crvkcjtw1IAKoXV5EbaGS/5NTMli9AGoBcG4jm7j6bvh63M0nkzZTIdKWzL1qNuqFns9llo91jf7EJQxXnqgGJuXvHs8w4zdZhpGGpVYadCyYGtU6SU9fD2cOUiq+/E3nIE7OX5fQOZUgJQWZaIAbAHLkr2XhmcbMSYlJljIk2mq0uSJHdMZEmiSOue+G7MkZOST99dZ67t2f2upR30rgSDHRsusvoMH2II8N9BnQzYnME5vFgzcjnYNOUirFRmA3EkStrtT9bUUj70rg6PvuRz5LwEEQMKjaQvZGkTKUsq+ZUVQ3fhQCYV/19kM7PrkLN5CfBC5s6KsI5KRooFq8vS6lEogPLPSjddGdSlVc4YW9Ga/2yALdtUPtGQXLIFPD9l61ZNo6FxZmsVRL/GhrExAt+lVpGMVe2EVaWyJcBQVHElqV0O8oKX8nL73wd4aZZKueeyJE1EEUyaEXvQXAjyYkb26Ou00N5FQicfB6wSlExxMlvQ82LCVPPrn23w8LMV29smHau9pbRdO2Iwf6VoJshvRoaZaZTJyzgXI+AezmAOXIvBHu/l8tlyGa1tN9O5o5JqEumgEoc7rov4Gx9s8fO/7hEm0jaiakmSuSpSi9J3yxyxctOBEYWuzb+ffS9KsUHWXZ8B11YY2iYJI6xdaHI3JTtfxgw3P+TXfliDmyEc5Z+vtSE1hjQ1tjfBWFswb4tUyk4IlkLhOwE0JWONKmlawdm1pceGqS5TXp9+6BAnJtvFwLKhwAYGSSIJI0E/kkSxrcVNSxdmiLBGGXtkv8gysAdyZbDlR7mh1YI725JPjcgTaYqf2W2zdUmilI+cvdNsoGRSMLjrJXzraZc/frhKGLlQcQrtXbB3EdhemLkctb/K+tseF286Lq98ObAH0mBQfGVUXmU4XCueaonUVqrkQE8Sh0o14a47etz3cI/7n1bWNsQuxbFw6FEK8BgwasHWMvdYSil8y+uDuhRp3xsBKvv9Cn0uLLhzt8yOFSyD236mERTzW8pkeMFpMlhgp5ooNoSxIYpt4Z8xg+ym6wo6vZSTc4Kldsz1ImXtmhTnwecdVlYVURNu3pNgDATZNh2OY4GVakEYKVpdB9quHZyep+lLzDTE4CMAHmZzU9JQg4GVg7Ync4F7IsXADpRiRHcXk1B18bpg7fxQA3A7Gbg9N2a1Y7j70SoHzgVWmghbEity7S0oTZAyF4C7uFlLGnJ4yf/Oj3wMQm7JDR9iAO4LhgMN0vdSKqROkdohDh12ro151+s7PLnPoxll6Vdt9XiEIt8HQpJ540NltAOqMtjkzoDcB5KlKMgyJgswszla+WqcOS6FTClqxU0BfGlKOtqU8SNK58dgsrnmYWxodTWtnu3FTLOkkasoRlwbI7liR8KbrouZmUlwLt8maK4qzp928ZyU6fE+1SDCc2OUsttVaCPohx7nlxt0ek4RBBWn4gJgD+SIFBcHfFmOlBlbCIYkST5JSaqBdMkliSwAXAK5HAko80RO2UWRtlNek/Lb91T42BfrGOFY33uIvRlo7yFr8EKgI8rnQnxnDV6OYcosOaS/cya/sJVN52l7rdGpREvriyupiVMXqTQ/9d4uh8+6fOyPHeJkAHKNIBQSpfNBEnn0NgD5wL7MUJh/5zzgFFlKv2DzHPyiCCwLPZ5fXyMyHZ4BPQOvBfag+tGaLPlgoMFJFcKCfKkD55qCTmQLI5WwjR4VJaj5MNOA0/MuLx8JmG36ONvXt0mmV9k1e54gEKS6j1IhJ+c1T+x1iVK7y4LWGkVAVQniRAyJfCG+M2uXRxkM6dehnw/P2chliSoB/QLmzubj5S6JHJInpabhTJPnlqCSMa4Xc3hO8scP1uh0XKioC9m7qPkuxQlikOApllYufJ1f7P8eh5uBBijJgVyLD+aWaJ3Xe5SALnOgS7S0WlxKhzhOqdcS3vuGLvc+UuHwuSz9agdUkwpBr/xNc3BnWeqcqZF5dtMM14jnkkSKwY0pBmwuhChALjOJoo3JspH23y8YHRDGSpZc1hTWYZYNdRxQSuE4kvXrm+C1MCa2N7QWPPFylTNzAZ3Q4XzHRZzR1GYTtsQpzotHJml4TTaOL3JozuVzD1Q4eGqC5bbLiZMVa0k5gpoHl6xRXH+pZmIsS/hkpar5zTYYAjNso40y9jADluRIAX4zZAsW4M6ZW5QHs+fOiS5tt5GW2N3uJ2NrTSyTO05CGGvue6LGN5/LqgWlawE+wt6FgyMGAVMO3OFqyBKTv4qefFWQjwK9dGidZQ9zJyXbisTq7sGW6VJLUiFRqUQLRRw6vPmaiDff3OPUV11CnVlithKKBIdQ2MZiqRnIlEIrWJCrYhkauBcq87xz4Jsc0Nmfi6KUcJC+LweaRmITQwUeshVP5/2cpgC5xYbF28SY4MY9ih0bBJXA4DkJWqQcOhWy2tHsO+XwuQfqHDjpsnuL4oY9Hs4NV+5YfflA697/8Pn13/PYKx5nFmr40pY/b19jR5z5CmqBYbIOSWqI4sEvOQruQfF/OWkz0NwDx2Q0wByAX5VAPdDig0Hs+WzqgXMyrL+VGq4xyVPxUtpOHeklPPS0xy99cozUOAPnRCqEkHYfIDFIyw8zeAnk8uLs/adIYg6QnTPgBTLFDMkVTT71KivGEhfR5NJ640I7JInG81L+yY+1OHDa4aGnJNoT5JPcEYJYK3pDgioDuXwVTV544Rnw8u8rTcbgorAFEQZdakEsgC5txlMKk8mewbCiXIqAsHuOZd9CSoHrSlxlOHO+Qb/vU63YvUpdN6XhJ8w2Ei7bGHPTzohnD8L02uBe3G2rzt/+V587L4T4SBJv+J5Zv8v6TQP2zA9H2W32KoHd9qO4gCUmGypvHUpnmwtvAGku+DORuyL531UD1h4duj4E8gvAnQ5+lrG5UmmJxRNOLUp+40/qHD/jQ9UpmLtgb5Fr7+GWtIvXmwzbghdYpKUldxTcQzo897wpORKUNXnJFy/8cYmWpkjbS61JZcbmWpHELtvWR/zU93Q4eszjxIqw3rgQNuhEECGzasMc6Bn76pImz6CusgtvNXiJzXPZIqxskXqwGMiMsY20mt/ofKxy1hmUfZ4QgLRBb57sEqJU2GtsV9lKRxGnPn7HxS0n+TKyM0Zz2WYX1335I6b50nnnr72lg+/DibPw7F6Fq/IxAMNLr8ruIs9VWZq0nKYecT3E4GcDQJfBfCFzl7fEkCVpkqfm5YjmHgL46KHKgWVWCpu9Tr2UT39pjD95oIYJLKiRVn8LIYf6LQf9jd+hY74Ashjc8aOPkR8XCZ5hIh/IFBgKNIfnF5aAXdLixuhBjYrIwC4cZC/lrjt7vHLU5aO/6RD5ydAdabRLmNXOCJ2BO7X+myGvD7ffMpchSojCJixuzrJsERS1JyZzmMgSQ4Umz66z0QNbEW1lC8Z+F0M2gEgbktQQRvYfDEOFUnLI1BhUnCYcPgcLTbvhmHP4dILrGBZXJZ7rsnbKwXVEkeNPDaTpIHNkB8sPxjSU2XjQL2mGmFqMvC8PbMzZWJRBPqTDR90UXWLxEoPLdPAsy+BOkaXak/uf8vnkV2v002wKfr4NYrbfkCfMkPa+aGq+DHRehdVHpcqrFVxlwZ0ps2XZJsRcUEJrZCmzKUvOilC2MEtmxVlSk2oH39X82Ds7PPaCx/3PWbsw98aRAm0cwrzkT5vB81D6fpAAyv3vwjYUjDgquV2YJX90KaNZ4KG0GmRMbfKSXmOK1aQYeZHYZSHvGbb+uLZfM5NMriOZnYSNazQzk/b8O83WePYXNJdsSpgeM/he5n8bOzmo2xf0I0F+g9t+SAYbkpY2Ji3YvABr2esuTyLNJcooqIeBbv8bXYB9dMevIQ+8XNtdBrpMUE5MN4SP/NYYR8/4GGewW/Kw9h5sbnXRxA4XgrgUWw6AXMi4Vxfko8OShjOa5eIrMyRTRmtTtMwqDuUwi4tUI4SDjDTbN8T88x9v8tg/9mn3s1+maPcSpDiEpiRTRkBu2TnzxnPmliIbVmsGQM5ALKUFpkFkgB8UXsmSzJG5CW4yrZt/dlbslwqK1zoLQrUxhJGm108JY5vVFBJ8V9LsCDavCxiruaSpwbnjxmkMDtKsUlGnqFYMrpMihSFJJSutgFPnK5iWIimV0JbB7ahSzYhiSFYMMXlZfggzxOQ5gIuNp5QuAV1zQaApLqK3S164VLn2tjNOkhT+yxfqPLc/sJ63zJl74Jy4ojxI05QGSA57/EMW4ZB7knu54lX5+gImH3FOBg0Q2XJfgNlcWG0oLIMXQWfO6KlEi+xIlZUqWnPt7pi//b1NfuWz40SpBJJCqmAEKYp+SgHqHORWKphs4qrIgJsFmcKCVGU3gS2ftWDXmcY2mZxDUNwIOQvnun3gytibqOzkFKPlpE1KJdrQ6qScXtQsdiDJ/j1PpfiOITSTrJttEMUpzqVXv4VarcFLe5/mj+59Ft+T2YRQQDjoBKaqAZ7KJUp5TMPgebiVbBTcF5EqJRkyAL8ZZu8MyFKZbHfdshYfBfcoa1vmdlSCE6R84wmfT3yhTrPnWg8w87wRCiFEwd551jJPAUs5rMMHo9kuUjI8VGcpivdiFNAjrH0B3oeAPgD5MGtnU2FzSVKMXTZokQWeUiGNtvUqiaIRaH7i/V2e2etz3+MKqoIClVl9RYok1CWQZ3o7d1es3LCAzpM/OburQkuXGDv7O8W0hqxmRVD6b4c89XwJGO0Ptf9QPp9y7TTsvrRJKPrYLcStbE7jmDtedzuX7riRXr+Fc24lYAqfl45W+f2vT+L7LnE21b/qwroJyXU7DOtnIfAGoHZKjQblBuCibuQCMJeDzREpIkwJ/IN9GMusnW+Tl4NajgaV0jolslQlKGWCdBL2H3f4r59vcHjJzfa9z10Th7xi0BXmwmbi0aCSEeamBOwc7DmgL07hA1k7UosyYPFBYqVohOBiafyRIUF5IZbRxaayIpcqwiCkg4w1OyZT/tYH2hyfczh0RmCcssASIF0SLYtbNJcZZEXcRuZyxAJV6UHwSUlLDzKaZV2eZzUt6w/cl3y1EkWdiyqfl1zoo5HSNjpsmPW4/rKAddMxFc9uOZ6miiSBqS2S2qRDmiicdWOCehUu3yh5780uzZ5Ls2NwHUHFg4m6olaxQadTmtY6NK6hpL3L1X95CWwuWQY++DDIxQigrUwZliUDefJq4M7S9HIgTTw/Ya4p+MhvNvjjb1Uxbikdn0mTi7H3oO77wpR8GdzlpM6Q5BYjIB+h8SHWHgF7/rMLa1LKOjwHdDkAzTt/ZBbg5a+z4DPVJDi4UnPXnT2aoeRnf1lxflWAP8rkDomW9AudXWbw/C7OA0wbfOaBpDTWt1YiDyApGiCK7pwcJ/lNkX2EkuXVimIWiyyV8Ob+ebsn2Xt0nHMLNaqBHfTT7EhOz8W87o4GO32XbjfAmWgoJscrc2MN8fWNm8bfpk+1qAculUASeIpqIKlWJBXf4LsDgBe7bo0mYy4SKA4FlGVZUtLiYkiy5M+D4LLYH/1VwW1dEyktuF0nIULzlW/X+MZT1azWJAsshRxhb0rNxKVUfPl5lLlLWjwHsRgBcgH4i2mREblywZzCvDxVD9dd58wtMzcl1+OpEAiRZTczZ0VKiTYq+5lEGFtx6DuGt97Y5923dfndeyVRIgZFNwUdOwWTlwPOPDjUYhBwGkSWMyg5Kpk2N9IMgduI0iJm8lV94IzYcXCW5ZWwv7M0ZHPLMwkjUsD2YDbbLhXfpRoYkrSP8nw6Pf31flSd6/b7qH//H36VDTuvX13psLq8mvy1XnuVzWsDpiccJsckY3VBvYIFuGcGOyXko9FUaVzaUJ12xvBqtMUMyvZfubZEDpn2WQFVXlRVNDIMwF3o8FJBlQ0qE1Kp+dLDFf6f3xjj2JyfNTHY+YJkHTtCCnwJgcw3tyXbmm/YGRqsVrl9OBjMX0y5FSClpNhWRQwP6bcpaFnKHeTlC8Pvh+vkRzLBxc+HG0PslIJsD9OR7pl8tSx3w6ANk42Uyy5JODWvOHTSsdvGDmXwBGCLs3L5IYbu2PzvlbVX/neHa2ryv1TY/KMZXFP6N4Zu8lFJZksXkkQTJXYmeKdnaHUN7R4okXDVFZvYuL76/2uv7Hvi8qveaPfouWV3jOsKNtc1pyehUkmto1HWjCOsVM5AlhM1ZUtQlFld5I7ERXzvof+2pLnFiDQRugT2NGP0tGDtPFvpuinHFiWf+GKNA0d8qGcJHSGzxM5F2HsomWOGGPqiWUyZX+vBhS8T+Ggtin1vhi72hUpFZI7BCAjMoFhpkN3MmFTbm80+DwJQUTC7RGQ6XAuFMBqtHeLQsHtHzI/d1eaplzyOL5SWqtLesZbJRSFHCt2ctbLnNqDKrEKJTcWrXJ4UxyDxo0vnOp9kK81wtttk9fBFYJ+a0jkcfhbYXmGdpixGDtsXPMLQ/rkDsG7jFUhVo17tsWHicYRQKOHQCz16oUsUS6JEkSaD7dugnPgYyUCOauySDBkFthiSKHpYouSyRJgheSJL4B52T2IcJ2G5LfjV323w4HNBqUrQKWUtbVLHF8M1J+V9HS8YrDkC9AtGRQAXBJavFmiWL5EpMViGnqKIyZRZLJcsWbdMBmBZVOqVB3fKDNAGoQ2pMAih7HuhSLFbfqddzZ3XhPzMD7X4t781zkpXDIBtRGmbTQtyk4HfFn/lCZpB5rLouM/qw6UwQx74oCZFDAPdDG6aPM80NG9Gl5I72o41SRJDmArakaAdASJBmIgbX7eWW2+4nGarOwC4E2xk7drZ+/7VH3zxl557Zfxnocf739Dkjitj1oj/r733jrfrKs/8v2vtfvq5Tbq6arZkyRV33LDBpoMpoaaQzJCBCSHJQEhlGAKZkABJJhASmJCYGEIgJBhjMMZgAwZjbINxxUWSmyTLVtftp+yy1u+Ptds590o2YHBgfuvzOdI5+56yzz7PfvfzPm+rMD1XZaHj0wtNbnGiihT5w1rxZaS/Ike8GM2cgbf83MzyW2IQ3BklKe4nWMLcZJot2BOaj15R42OX11hIHJMNL7KQvJM7lrZIx36UeHeZewuWRi/Llnow/zu7Wptx1mXf8vFWOUy/3GV5QG0pyYXlwa2y5HhmllvK7LFEprWMKrfmikRZEGtqTsQbX7nAvkMWf/epOt1S8Ic0fJ6BPFGCfop7nfJro8GXrDcgk8y4ifwYqiFjIVOqNwz03KjosvHIrlYQJdALBbN9wd5FcOxFLjhpgZeeG9OoBoyNP/D+k074pa/t37sHSLMh//qv/4q50IviUGy0Y3nxY7sFX/pejbt2gucscNy6mEQ5JLGFUlmz+oIvZyVdZZ6dlZGVubYsvU5mnNtSS3m5NNU45jlZ/sky4JblJKoEHMXdD7r8xccbPLLfS8Gd9RZ0UgXFQgqBL005miMz3l1wb7ukf5cbbFrpjzY8kyfbPtDDXGTdclPuLYvRK0v4tiyNbUnfV2RcX5auGqVLeF4NVXZ85fBVtQDI4FDW4rPQGt9VbCyQgQAAQqJJREFUjLcSbrzHYd8BaZSTXA7K0mgN6DVpqaLIyVkqD4rSSSsKJ5lleHjpypQHrwaeX/RByU7wjH+HsWC2J9i3qLjotL38zstm+cVneqiozfziBHHkfmrLPd+86fSzX1IAHOCKf3svF5133BnjjemLD+zdTdjzuHt7ha/e4TPR7HDMKofFnmvOfMq691BGV6kX4EDtZDl4k+du6yFg69L20ntYGf8uKSYlcEsZY7sJ9zzs8qb3tbhzm49yrALYYjAk7wrjWJoxgMXNGroNN9vPrE55onGRIlx2Jktgzx8fHuBlx3OgMKR8RSlbwFxqLTuS5b+VgV0CMyK/cuZAB4TWrBiLOfXYmJvvdth3wKJIMSzJQPmlK816TC35ILBLbKsEdFV+rAfBnFnncpHH8BUuu6O0YKYneME5e/nTX11g9UibR/ePcusWm75zAsef8oKrnNrG7196yUcLigJwsDtBoCvsPDRCteKxdkIQJYq9CxU+d90KNk9CHLsg9BLgWjKjFap0WS/TEAYeL7et4O0qpSkq1caT9L7KwS2zbel920lY0JJ/uKLCnfd6JHYWxCnSYNPkiMKxLPHuZXO9h3mgKEUvKRm4kkVk6P7j8ZRy2d9SHdyQznJjoEJhyICiS4AwlEWmFMU0vBQpfzXauCCjKYZMJCILpyhsoTnluD5vetkif/xBh4VYgJMi0wgqA3RFI4kwYXejZad8W4psUCGWLk5+iR5o55aPqimdiFKXTvg0uUumn50ZIdfWrHUFr3mGTa8/wcGZCjv3+MwvdjnzTItTj23R7XbyQ5kDvFV38Xz/wU1rvYf2PeIdff+uPo6lOXoEVrYq3P2gy4qRhFqQIL3YXA6tUjXNkOOYcWpD5TSU+DfpwS7z8ZyHC+MAFTr4oPUurLiJVtpOTEcJLv1Clcu+UaVvFSH4XO9OH8ssqJPz7mXm7Azx8MMGeCjfFwW4lyD7yEx8OG12ID2Vocs05K2MywERnYNaF5f7NLIptc6zDoWW6cSzNLqpUp9BWyRK48aaV13UYctOm0uvqLEYYUBe3lGlU5BbBuRp3WUshLkiqgzIKdBz4yFKvFoPtJouRtcUz7dSZ9a2iiuUYwuqvmC87bJr9yp0EuHYiqrfA8vn0ELjoUR7D/ajOD+mMrszNbmKh7d+69papfLpUDRYiLt0YoHvQjUwUx76oTSpwpjGl042kcxWOE46QDW9FaOws9pIE2WUMuvqOpj9NxylLDuWMuffg+C2rISFUPCxL1b5i4812H/ISa/zGahLFnzAeusl0crhNNhy16ry1XrZgoay1R7Y9gTczCGHMrPsZX14sOihUEvKIfuBJKxyoyBdqtsc6K1i5e0mtLbS/ioWK0YU7/j1OV7/sgVqXpzmSiegYtBxcV/FoEwedaIh1NBT0NeCvoJIQaQhUiK/hdn2RBAqQZhkN+M8hgn0E0E/Mc/NtmejK6XQeI7AdwULXZtuz8JzQ4Qzy+aNDSq10U9/9bpbrx2fWLPUggPEiY+lKlePt8VLzjk1PPnqG1wQFo4tsa2i6sa2Fa6tTGsJK8nrJAdnk6e2KH9M7kYUlnCYohRWPLPcQqpUJSlr3uljX/PFqyu895I6e2ds41TKMi3JrLgJsCxJphoCtCwDethyl3Tucs7J4K1s2n/4NZhoVWjeZWu+NHRPmnCVqiklHpupKtlN6iJBSyMMXVGaREjSDG+iULOylfCO/zbPoXnJp79cAz8u9HG53J6b6qAIo11bCJIyDdQpBihNtyaz5EX2ZSbTWkITS6N0qbQQ2pI67zAQJ5p+lJ3cfb53P0yNizuPPa5yda/XGdizAYCfc95zef//+V83CiFunZn3T1YJeK4wYXsPAlfhuwm+F+N7Ea6TFhTIQX6d7Tzl/7MPEcWcmIGTIaMmOV1Ry1CUzLFMsDzFg4/a/OuXq+w54IAvS4GcsvU2lR92iXsvVyk/SE/0EvCW807M9yr9UiXT/USxrY+wsYj4ZQUPBiQZVVmikSNyuU4qStw7DekLMyVClX4bkUoYhqpYeRxSCE0calaOJfzKCzvcfJfLQ4+54KaNxlUK9iXkyhQ0JyKlLICt03hCerzKtMScFqIE9OI5UghkYn4nRxmQCyFwLE0v1PRCRa8PvdDEM6baFq7o3XrLLZ+/8Xd+572HBzjA6lUbsaTg7u0RvjNHu27TrElatYRGLaJR7VOr9PG9EMeKDc8uf9my956zyTLEdckCliw8Kj1RBkFunMwkB7klEixX8dBumz/5SJNv3uabquiy5S5HLUvWO5urY8EAsJdTLAYoS0ntKCdXZVZ7OAelbOmHqUw5XK2HLHWWNZgdtEEgl1o0pBVABvhL02nFksfprRTtFOmAJaHLN4lQxvFUXc2Fp/X432+e450fafDwbhdcACt1PHXplh3r7Fc1nx0JQ1OymobDeSVZ+4jsBCieY1o/+zHUE23mdkqN5yTMBjGH5ixWjDisnfBRzsbU4x1cSwD+9LMuxLHt8I6ts7DYYdW4xUQ7YazVZ6zVpV1foFnrGO4jFFFsEScWKkvSEcNWW+dfejgXOrcmJQteUJYkBXkBbikSLEexY7/Nu/6hwWVfqxCKdMyx8XqHQC4K653WWEr0MuBenocvmzw1BNwyKzmi9S7/UXPENaCcAAPTkDOwZ2mqOSfXJYqi845YxXMyPq5ByxzQ5n1MIEiQOp+p0+nbCa9+dpdEwTs/3GDnfq9wOgeWVbpfeC3ZdVAv+b56EAQlQBcHSEMSYyWKDoJZx2YhksQqVX2sGNcWOHadTces5WlnPjdUSbxkz5YAvN4YYXS09ofnnXr0cQ8E+5853pxn9USfsfYCrcYcC70u37gLFnswUo8576QevucSxTZZ4V3Ov/PdLembuhwUKCx9TlGkeW0Oblmy3LZi5wGbP/67Bpd/vUIo07HGYrnbkCxIKVkqoycsZ2WfQB5KwbYHJEPz3eWRgX5EZA+BupwHTsnil3k4hpeKNHcjmzOaRTpF2vdEiSzKKVO1RaagNo+F1IYKpBYcYXKrHTvhF5/Xxbbg7R9qsvOAuwxqyl9Alv5f5rTXqYKuM12owEj2mxlwh7SdBc45eYF2HeZ6Dvc8UOORmRrzoUU3VHT7faTVYPOJm781Orb6D1Hzjw/wlWN1Ht5y9fyJx8htTdl/hmdNW1GyyI79Pf7+Sxb37Bxn644aYddGun3e98ZH+OULQyxpvpjM2xObnVeJGWSaaOO1G7DL/IcUJdmw4N4Z2AtwCyth97TNOz7c4PKvVQgtaxmLnQHbREwyalLkm5SsNwz0aREMBlig9Lyh22BW1TIWSBym4ebhYFHm1kO3HPdDiVaQJWGVaAqFqmJoSQpknZhGO0toi0xBLXNebiy8hUg1ySTR2CS86tld4gT+6O9a7Jl2yAszD3+GlkCePs7BnSozicrrLfN6R2m6mLs64WXnz/Nnr09wbZduv8+WnV3u3nWIL97YYm4hYG6PTSh0cvy0u+1Tn/v6/Ote9ZzHBziYAEevN/fmvrLOvOHu/ilX3OCxfV+LfuxRdyymaprqKFh2AEmbTm8e20rw3D6+12e2ozg4a77YeE1T8SRR5JAIOwU5RdMgKKy3UClNGQS3tBSxI7jkyiqXXZNablFyKpcBuUhD6OXWxwX3LhUypD9DHnAg02aHFJQSJSk4thiw4IejNIcFdgkOywjiRcCHrMJnSFEpAxoGlZVleqkUXFzmCVsG5BjKoorAukKTKSugsNG8+nldtm13eP+ldWJgoDPnki+RWfLSEdCF5CjiiLofMdGO0QgOLlrMdFxwPLB9bMcnSUbY8rCHbTlU/JANkz1OPGqRV547zY59c3zuhgbdaMUPpufm39ys15c9xssCfN2mF/HxT/9rEsfH6htu7zISaGY9Tb2haVcVzYqgUbM4atLimMk2c4sw0phDEXPzfYIrrq/z3Xt8UJrzT+vx26+ZZ7ym6fWLqFv2Yw3yb1WKWhrOLS0FtuDaG33+/dqAvkyjkrJsreXQ/aXWWzBovU0fvMdv6kNp28B9StZ8mLI8AXA/HuCHQVymLKQNgmTucA7RlrRuMkuzNc5jUtpWOJ7ZfZ1W52dWPLfuWiK0jVYJrlC89rkdvr/F5pqbKuYnlIf5JiI9ITPakXOrBKKQiXqX33r1HM88LUQrwXfvdfj8t6rc+WCLLgH1wGb7zhZf+57L+lWSdj1mei6gVQ+oBCHT0z7PfZqgPrlWCzGXPOuZv/DEAQ5w3tnPIQq7/647Ozbd/8iu6v5pl5VNGGlatOs2Yy2bVeNmEq/x8CO+dIPFuz8+xtZHG6Ac0JqbtvZZ7Fu87TVzjNd13lO8rIcXKbOD4LZshbDhSzf4/OGHGty33TUFw2VqMhzQEWbOvS2MP5QnSpW495JEpWHnkjKIh8ErBrn5coD+EbTC4UBP9kYFHRlUXdAF987KxTLeLWGAg5vXmWofITJAyzQKnyoyKRdXpnwIoY3kqNGl9HDNiRtC/uatc/yBBV++oWIui8vSFWF+D60HDpJIFKtGQ9722ll+8+URtmN8t3NPiLj4vGn+96XwhZsrWFjYQrF7f4TWLnMth4WmRT+STIwobnswoVk/hjc8/yU4zrKe75EBfszRK/WnPnvZhyJ3/Ztvvm9ndbwhmBixGGs5jDYlY23FypE+7XqXZq3D9GLIX392lK27xvFqLo5tvlGv7/OPX1I848Q+Lz5bmAiazlJOVe6QFrp3QUuEDV/8dsD//HAKbict7S9TE8pUxVhvi2IimiXSoPKwclIC/0B7CFjWopcT7JbDcMbBc7APxu2XB3d2MStdyfMm8ro8+cw474UGngK/HPnMs/IKGbGgLCnYh4JAlCw5KXUZcEClNqPdc19QIkLNcesj3v/bc0gBX7q+kh7MMj0R5Nejkk8EAqEVZ5wQ8esviun1GnRmPMA4sxsmF3nra+a56d5Z9s+PcWBR4DkJmpAwsumHNnHsIaXirOOmWXP05Kx0an+P7R9WlzoswAGOPeZkZmbnWD92H77VZcWoy3hbMNqIGW2FjLc6TE3MkDDP33yuyT27xmm3fBoeBLYJh886NmtW2Wxea9HpecSJzB1KKy3QK6RBVaIl8MUbDLjvedAFN6UmA6Auc/CCmtiZaiIG80wGut2WASyPoF3DEvoh0n8GpMLhJ5dPg2WArof+HwTGMHDL2rlAa1UEeDRFHWRJE1dKI6yymlLusSIGnE4zsTh9XlZRLzOHk7ToV6chfZBhwolHRfzFb82hNVyVW/LsO6SNSsgMUuoXSRCuxdbtdW7dqlk71mSx52BJExXvhy4bV87zlldM86efcth+qA1AohLCSNHtK/qhTT/yWb1yHZOTJ8zKeNe/VevHHBbDRwb4hsn+fVsX33Tycas/Oz/9cHXtSsVoM2Kk0afd6DDamuXa7/e57MY21905Tst3GQ0UNU9TcTSeK1grNCcfW8MV48zM6TRfJcamCBJl4M6cS2z48o0Bb/+7BvduHwL3EstdshCCJdY7cyAHgjllekRhzQfySBh0LnNQD0K3dF8MPV7uwXKgHvpDKWI5sHlAGhRDgC4imqSauEi1ciMPZtq5RItk2dyWfCx3avVVqcRGWKl+rkp7FSacdFTE+39nDqXh6huD9EAqA3BdBH6QElsKKhICT9LrtbjhjganHeNiSZ1Hx3uhQyOxee2Fc6wa38fnvtPn2u+O040sFvqahW5Ep6cIQ4u169YsLna9N9Xbq/tHwvARAT6/OKuOOnr9LaNtMbf19i3Vdq1DvdKlEnRpNBa48kbJn31inF2zLSYqkrGqouFpqr6g4guqgUWrbrN61OWRPYLRVodq0CdI02DJchREqnlbCdoWfOVmnz/42wb3PXwYcOcgL6sphfXOaOGgYqIHk6YoW/EhegJLrHNZIhykKmLw7z/GGpAHy2H7shXPHothaqIHH+eWuwxanVKSQkpUWiK0yi26SoNAmVXXQpqBTxkFKQcLw4QT1kf81f+YQ2vBtTf5JKSXTS1zeAkBgYSmo2h6mvG64LG9PoHt0m5o6pWEahDTDy3CyKJVt3j2KfOcuvEgjg658oZRZvse1XmL1nTC/jnBL/3KuXMrV625ZXZuWh3pmB4R4CtWjAPOAd1ffNXGTeu/uXPHNc6/XxNwyxabSrXJPTtaLC4GrGnAaEVRDwy4a76kGkhqVZt2wyLwFP3IIoxsPDc2jml6OTbWNAW3pbnu+z5v+0CDrTs88JaTAuXQzco9wgzYw/Msy6DNEnoeLzU2A22u5B5JZYGhM2DwBDgc8AcAO2TWiwxDw78zh3MgGSujKQxOJ87EvsGuWOXopl5ixcu0ZQDkClOapmWB7RKkdF9x3LqID7x1lt+O4ZvfD0iEKPq3pYfCERrXAt8x7Ud6PcX+GUWcWISRGdGd1f5GscFKs+bwztd1eM2FO6lUBLdsCbj8mz4nnHJRtHcmetWpQeNArIMjGo0jAlwIlzvv285oa/Ojt+3UD33gY3s2T88usn9RMt+XjFVgXVPRDDS1AKopsCu+RTWwqVclzarG90wOwUD4mSJr0LIShKW49paAt/5Nk207PJO0LTP6USgkSwCeAirn3qLEvdFLde8h/l0G7mAXq0F6MpwjsTQnJaM+IlfJltKYw6/hHJWyspYBntwklJOuhlssk1MShBigHcM1ncP5K0u5uUhzXmSaS5IpLiYfRZMmRvUVm9ZE/P3vz/KWv4Gvf69CggUiNiDXg4p4kkAvVMwvxAggURZhbBmAR5J+JOlHFt2+Tavu8owTF1noWrS9Ci8+s8bqTcc8VB9Z++ji3EPUmxuOeFwlj7O0tvjyNTfuiPrRG1/97OP59eeEPOe0HqOBYqqumGhoRhuCdt1cWpo1O71JGlVNraKoeArHyeosB6vjXS9COglfv9XnrX/TYtsjPtrNkqfK8l9JKck5d967oaAlFFRkadMevcRSF5N/l1rnpYEdBoCdI3dIHyznhj/+8R1EeeF8igL4A3o4S6x45nyqIV6tyiBN30uRtmBeBsiDFl0usfBZbrl5nOaQK9vc+hbHTEV88HdnuPDMDjKJIDQ55ForYi2IdTaOG3qhZrGbMN+JmVuImZmH6XnBoVmbQ7MuB2c8DsxUODBTZ3Yh4Ku3VvjolW0WkrNA8cbHHr5xh+s8LnyPbMEBTjl+Db1eB88Ldm9/wPn2N677/vkH71xgZdVnRRMaFUnFswgCSeBZBJ40/NvXVCuKWiWh4sf4bjpyInMyrYgg6PPYtOKmuwPe/U8ttu300e4yQM7zFErBnHwUR0nnhiUtIMr5JstJhYer2BkQRUoOZhnLBf0oEL88pg+D9OFAX/rcTCAsU5gBWjLAtTNrrovn5Lp4atXT1Fmd6traIldWRP4aCVYy+L5aoEjzyJXMp6wpBALD24UwPF0IgQ4lm9YkfOitM7zrEsV379LsnLbQ0qaXSHqxoG8LepHG7pvickTR4D6KjM7diyx6fUG3b9EPzfS48eYMfqBZZPO3x1afu7va7eJWKj8+wAF8v8K3b/r2A4168KFH5592/tzM99k8ZdGoCHzPwvekubmCwNNUfEXgKap+QiWIqfgRgRfhuhGuE+LaIdVKn4f3KN7/iTpX3lRn/5yH9gYTpQbMZRYVK9q7DoDKgDvj13qpA7mM9R5wLikBHrGEvgy8tgz8odeaDT+cu5lbZ5a30oiiw2v5/9y6p3WTWUJnoZUzSFGEzi01mRpDibLk7eB0bsWtnP+nLeNywd4yDfB11iDKMu0hugnHTEX83dvmuPLmPn/5cbh/t0VcsVhIHLxI4MhsoJdGa2V6ncSaMDK+Wq8v6fYEi12b+Y5kfrHJipGI33ztZoK286EH7v/WA8dsetYTOrZPCOAA9eZG/Gr9lrNOSa4Y9TovP7j/ERJlIy2B7wg817Qf8F2N7yUEriLwYwIvphKEBF6fwO3juX0atS479sX86SV1PveNBj3tp5POUkqSm6+SWpxRkiFlWgxw7kGncSDXhCGglgArDwdksQx4M25e3j5EtsWQZX5CS5Bb9DJNWSIFliOYOi30ReSp2flzKFnnPNo5VKicAz+jMWkwKP92xXOF0Gm6gIl0apGlW4iCYwswPVdsxhoRr3teD889yJ9+VPDgHklHCGxhIYVEoNBoA24FUazoR6Ydm+dKOq7EcyTSEvT6iuM2ncqm055+xbqjN92CXnjCh/UJA/yU4yeZPrh7x6aLnv4W3b3FemyveolvaUZbAt9N8ByF42hc21T9eG6C70X4bkzFD/G9PoHXpVFbZOe+iHdfUudz32zRswOTYFN2JHNyqcgz0HIgDBLcAsClFgkMSoTLg1gPWu18uxg4SQboiWDQSpct+DDIxTLbh9aAJDhMV0rbytRlqYVf/iTQSpgx4AxHQAtrXHSMGuTu5CfA8AlX3nlZek9pPo+sLYUiih08L+SVF/QhOci7L9E8tB/mRRUwXD7RiiSBKDEjuj1H4Nrg2ArXFniupFXXrJxQ9HGvXLn6rLc8vGPvzqPXr37yAQ7QHp3k9tu/s3P1+jPvXvNI/yX9hUcYb0ka1SivjrdtheckeG6M50Z4ToTvhfhej3q1w6PTEe+6pMll32zTt6oI18O2JLbIh2cQa0Fk2ielR1UVOQ1aD6CmDFIpSkAvb88h8viUY8CxXOKkLve68tVksAH+4Bp8XP4aAwlWGbjF4AmQA1eUNO+MspQDPZRBnrZXK1GVgdZwFCH/AtgSrZN0f1LrnUWcS8cpd2zT4uUksUjSNGghTH+bOHHwXZtXPrMHHOSdH4UdB2AuqBApi1BZ9BNFEIPvgGebZq7Z8a0HCUmSsHHDUZx73tPvvvfem3eeduo5PwxkfziAA7RH1jG5cur999+/6+hk8dBr1008wmIvZKTu0O37OHZC4IV4boTrRDh2hOv2sa0et2xV/MMXWnz2W2OEThXbdahYUJFgS2WCvBq6SrCQVlznG7NfQSz1nJfL2z5y6we9dJuAct+TAadx0LM8gopSOkme6CpJgmVLPlC6Vr6o5UAvPRal8Hz6+eWTpVx9L9JgT1ElVKq8yZ1bUVxZBr5b2qmWzKk1PD1ObKLIJlblzmeK2IqJY4vAt3jFBV1QB/nIF2Juf6DFoqrQT1zmI0nVhqqtqboKz4JOpGg1Q/budThvYpT16zb8+0knnv7+fXse/WHh+sMDfP261Vx19VdmcY799cmV35j64k3hM+7fbvFLF9msGtc06x3qlUU8t5/36450xCe/4vKuj40x02sQuzUqjk3D0VQshWcXxamxBicyA7CiBLRWQFI62IfRKYb4NSWnkjJtGQY8LLHkg9uXZg8Oy4FL6Eu2rz8M0EvWfACcouDalLYPlLGlDmRBWYa1b1gu6DNcCpdb8vI+ifQPpaS44rsLUBAnFv3QpR85JGlvQ0sqHDvBdW0SZREoi1dcsMjzzzrAOz8W8qmrW3Rin66w6UqLGdum7VtM1jRHTcJrnzPPtsckO/fXbzjn1GN+/Xs3Xds569zn/eQBDvDiF76AW+64uaPU68Jbt36JFUGHAzOCjasPEMbz3HBvTIxA9wXHHxVx/Q9c3nHJKDPdBtKrUnMsWo6i5mh8x0xTdqQBZaJMmdlsqNH9GJI+yCRvNpOa9JLDeRhglkC3xJpTcPdyYEceDvRiuRPI/DMA7NI5OGD4hoG+nBOaWuLy5jIPL/PtMn0ZaIwvBpOqslpNoQurPPCaARVFpG3YBHnP43THsozPvChcJmn1U4wdQRj6dPoui12XJDGZa45lphB7sUXiWWkvFqgHHf78DbMIEq7/QcBx62Pivk1fu9y9o8V8GDBWdVmYn+QlZydRddVz7nnk4J4fCdw/MsAB1k6dgNbqe2981b5z5vZ+J9i89hBazvDhK30+8/UxtLaZ8A/xG6/cwz9dXWOmU0X6FaquxaijqbmKiguBawDu2mlvP0wDzFB02DQ5RxSFbNtpsxDZYDvkvbzKvLoErmHrvDSQsww9GX7d0IkxAOZlTqSciWdSQr4/w8gv8D18X5c3lE6AwpIv71hmndUO62wOWPTSdoZ7ji+zb7p89TLgtqwE147oRgnbdtn0+5KaFzO74HFo1oTNbUvhOiZDMPLSUsXUnxICGpWEN798EdfXvPHl0JYVtIj49HUH+IcrR7lzRwXL8Vm/8ayt3b3zvzW1ZuRHhemPDvAV43WiqPuOFzzvfL3jnnt/d3H+Pv+Sr1S49uYxnrbKYnJE8rIL4eknKD5+rQWWT2DbjDiahqeoelBxNb4LvivwXYnnGM95aqVmw7pDXHzuARL6fOgyn3+5qkEngTyiWQJ4Gei5ZT4MaDN+vjRHZXnglrVws2mIh5cxPMTFn+jKHM6CnhS0ZJimGElwkJoU/2cRTdLnDOejFKDPZk4WVKVQTnLntnQaZp0OHDuir2I++dUqf/sfI/SVz0vOEmxc4QFuOglEmR46nkWcyLTTlnknKTWuE9GPevzHN8bYuavKK86psXIs4YWnzxLFc3zsywmJe3TvlDOed2WtFuhG/fEDOk86wAEcJ1DdPZ95d7Xejr56y4Y//sbNoXv8pM26lTZHT0mOXlmj6rlo4WDZLk0H6q6m6kHV01Q8QeCJNPopqfg2jZpkakJxwlF1GkGfVnOGd75+ESEFl37JoqcccoE3BVGWczLYWWsZbg2HtdxLgzpL9e7haOcSZWEY5I8D9CFBaICO5LQk3Z5X+pWcyjwgkzqXA7o5JRqiSSvuC7CT/738mPz5BUXJvr/JG4qShI9fVeE9Hx9jz1ybei3gxjsUs2tgclzRqFnUAkHoSaJEmV7yuvBZpEzwXZc4iZnrVXhgV4ObfwDrpzyOWnB57smH8IPRcDoc+8uP/NtNf/6et118xGzBx1vWj/NigObGVycP7Jv47vS0G66odJ+1so3YsNpi07ouk2MH+fyNCVfdMoqNz6ivqHuaappSWw0kVV9Sr1jUKg7NukW7oRlpxFT8GNs2pWtjrZCp8YjLvxGwEKYT0gYGuKbdRwUDbdnsLMkqb1esWdK6WFLM3MkeC1OwnDf8Kf9diHS7yHt7i9L2rH1y5qDKXJ0pti3R5Zfh90fyA1jmNUs63yKKeafl18vCCKQNd0sNUzMQFkMI8lbX6Tj0ma7i9z7U5oHHGtj1CqMVyVig8Oz0szQoJFl+OWnwSJR+B0tqKl7MbCfmBw9X0Im5KvX6Fp2wqc46ee27X3ph66+OWz3X/9sPX/Fj4fPHsuAAf/im13LLzdd0vZOOvWL3Y80/fWjbdzlx4wKT4we48nsR/+eyCcJ+lbFAm0KI1HKbfBVBNbDTm6BR1TSrJsTv2Al5t9RYUvdj05l2aGWUQ5TuLzf6b0mgh8P/XRZJikMqSkpPKIXyh/aFZffw8VeZa+fuXWatKVtkCvUjpzIF5VCCgRzwgfcoURhZ6qNS9OwW+b6U9yuvPhNmbPZ8z/QyFqm3GyXQCcHrJOn7gU5LEzUyP7Hy4QZWQLOm+P1XLSLYy1U3jtMJHXr9hKM3n67n4qkrbrit133Ji1/948Lzxwc4wNTUGoLKivubjcqbx9pz//e2H3xN/v1VDrdtHcVNPFbVwLcVgaMJXKj4IqcklcCmWhHUK5pGNaFWiakEMb4Xm5Hi0lTab9lp048zFcXccmBS7gY71FdQZNU6g3ngBbCHZMDDWdjhE6EE3WFH9IfBdrkes7wtiwpScgI1hRyoSnGvTObLU2Wz7enE4YzRZcAmzytZ3ikd4OQ56I3m7dlw7NqIB3cnJFrRSySdSBD0lel9KpPckoOVXsUkUtrpVD6TOh1FFq5T4bdf0uOsY3fzjdvqHH/sRWr1mo1vPun4dfc/8tj+JwOaTw7AV605jt78vWHr6DM+dskX7q5cd9PGD+zdfZCjJzxqPuw8YGoIXadwKCueRSUwQ2brgaaeZh7Wg4iqH+J7Ia5jQvyhSrj06hozi3bapq3w+oqeJkNWOK+eZyB8Lx7nNphlWAZ7Bt5yItaRAf1D+JkDVrv8nrq0fSDKmSkoZWuedY01bQdLueGlYE8WDCoVOWRJVEtyxssnljZptq2K4PUvWuTr36/Ti0IWLZuFUODZIp/MMUiLLCwpsC2JY1m4rknOi3qCLTua1ALFqesOceFpNaS/8Hv/9MAZH/N33J+cd+YJTwrAf2wOnq33vPfD/NKvvUmfe/rTxkfrwcXJ4h7vuLUJzzgt4sZtMSqyaFUEtUBSq6QFERWLRlXTqCrqlZhGLaJeCalXe9QrXZr1RTRd/vY/fD59bYNuUp5zaRrauxJcURooVR5BknNyvQzvNvMsrWEuXnqcNQ8SOQ8ftu4ljp3y8sfj3steIVh6omVUaMmJkl9xSsOwStsG0g0O896FIz444kTkx6o8/nFwPKQUmqmJEC0Ut93n0A1tEmljCdPuOL+C5pw/m1EEtm0mNDSqfaJklkuvqrGw4FCpjbPh2BfOr97w/Euetf7QlvXrjnqyYPnkWPBsjTQrhJ2FK1/wrNN/a+MqPtg98OURae3GtkeRtmNaMHuCimeZkraKphYo6pWERjWiUelTr/ZoNToE3jz7Z3v8yzUVPvwfTWa6vtHB8xK1FCgDSVZ6IHPwiDSDw2xfAl5yp5Ghv+fUJOcqZSD+8MevbK0z2bCsoJSVFVMnWUiGKn1u0Vm2oCXlRrCDUc6hPuMMJ16JXFXJ8k6i2KHma97ymkVs4BPXxOyebbNX+YisiXjeqYx8EK5lSVxHErgW/cgmTAQP7psl0lM85/nPPjQ6eeZbD053r2zWak8mJJ9cgE+MNQFQ8ewnx845x97zyIH3v/+S7riMNGMNQS0QVHxDTWoVkQI7oV4NaVT7NGtdWvUFhDXPdT/Q/NW/jfHdexso6RgznavcJh8lox1W6f5we4gyeAcnkg0FbobpyJLtYgm409NsMKItCpAORyaXW4XqUQIxReBFiCJ6ic560JsHWX6JyckebBExQFFKBRDF2MFBkCstkWkVfp4XziAvV1qgExN6r9mKt78u4tln7OcDn+7zjXvH2LtYM42DUKb/uFAIESOlwLYErp3SlOmAVr3Jm19p06+ct//U08/5owNz0ScnxyeeVHA/6QDPlrSb3LN9/lIhL5ZHr47eu+PBm8dbFYtKIPG9lHdXFI1qQqMa0qz1aVa7jLXnmO8u8OHP+nz+xlG276vjBTZaCMJEoVRcil8X3DrrUlWW+opBrocbUbIU/MOj/Ap5UJSeW4LssAUfxGj6YLm4/BDCs7vlpy0bcCkPIU6BaYpiUt6dgTWz2GJZK54pLlnilcimJYt0iFWJi+dfMFWwlJLEyiaOHYSAU44Oee9vLvKFm3v83eUr2DPfAiHRmSXHjJxxbIHn2khpESfQjyqccMxp+8++4Oy3w/ylQjz54IYnkYMPr4988L38xi+fffvUuLN/ZqF/wYaV+4P9M5KK7zDWgtFmTLse0qr3adY6jLXn6IQL/MVn6vzjVauI+g0mm5KxQFOxYaEnSboh6DhFooUtBb4UeFKb/t8SbEsvGf9nDWnfliWKvwnT/c3MtSx4uFXSt/PxfqKk54qCk2c4HebZg3y5xM+PMC6wnI2Y05QsP2T4JKBwfCnvB8tQKsq8eHDbIPUqBohlsp7RwBN8NybwFWEYcHC2wdxChcWex2jD5pzjQ+rBIrdskRxa8BHSXGeENjzesqAaWFS8mNu39dhw1OShA501f/CDe3ZdevJJp/2kYPiTAzjA//2nf+MFL/qFu1aNVx5x3P7zfrB13lsx6rF6ImFqvMtos0u10mOsNU8vWuBPPtnkM9dNMhJ4rG5pVtQ0Y3UYqQguPOMQzz1jH3sOJkzPm+GujpQElsaTYFumyb0lyzMvi0BPec5l+QSQwoA5/3/A2RwEd9m5HABJBrchSSV3/BADDugAyOQQdRLDIKZkxkufVnxoCeyFkzncFSDbLtNsY5mOXChOgHIAyNw385hMgMfz+uzcF/PRqwK27Khj6VHmFn3C0KHbd9A4nLoxYqK9wHfusZju+oCpkI8S096mUbGYGOnjNybmx8fW/1ajIj71yle+Ymlw40lcPxGKUl6L/Y4KAuvf58N18fGbm58YCXb5xx01R6JnUEIx2tTMLHR4z6frfPbbKxn1XaYailYVmlVBs2oz3ra46OkOJx0Tc8zUIX7jAz4JAVJYxVgSwaAiklnFcgln9piy1Sysctm5LL9PYXXFAHgK7KX/al0CeREmF0IXlrgM1dIJUgb3kh4pDD0PUQjhBq1pV9hBeVAs42Cq1E/IuLqhOGakiRAKJUw/dymzUeEipYAR7/10gytumOTktR4Xnewx3rZo1WPadZsotlEtySvPn8ay9/Gn/2rz2FyLNWNd5pKI+x4N8N0+J59wVG/T8e03eAGfi6LOjxWGfyLr8evuf8z1q7/8enrdSrJ7ZtPnzj514nVnnNzoff+BGT54WY37Hq7i2Zo7HhR85cYxmq7LqoZitA5jTcl422Fy3GH9KoFj+SRxhXUr0upBYSx1eRR3br2XczQp8sEHqMEQiIubKKkAmTUvJhUPRkVzLrFMRp9ewqPLosswRQAGLHgGykQVN6UgSROYVPmxIh8jmFfXL9ciolQAkbWESFR2k+aWmCodpWReBfTgngpKVFGRxY7dEY/u1+w9ZLNv2uPgjM/+6RoLnSYXnwWnbZiHUHPqOs3vvrLL8RsOYjcme3Pxytc987QNn+stVpMLnvlfftLw+8lbcIDX/fKreGzbpcnkMRsu/8Sn+r/2/a3ex+Pu3koSw/7ZkFvuF2jLZ1XdgHu0IWk1HNoNm/GWZqQZ47pxGq0TaGlhSYtAajxL41oaxzI0xRJpzklJDizyvgeVk4J2DP6fbS9GcGe5JmIJ+MBYznLKaVqdaCKFogT+MsgPo/BQep+kdKKUX6dzqiFMSzWVfW76HmkY3mzUuQWXuaIiBqx9Ph4wkZRD9kJq7HQGk047z4KmF8P0vEmbRTvpDE4XBNi2YmKkx+mbQr6/JcaJA6zY5X+8ZqKzkIz91xe88FWX7zp0hf6z33/NTwN6Px2AA6za9Hr+6D2f0e976/xnk/goO+nZ/3di5KFmp9/nG7e2aDgWYw3NSF3STsE90oCRRkKzFlILTEX+3lkLIX0CW1J1TJKPZ6fglsvM3RnSqQeANWyx0//zpKmcqsick5epiVZp72yV3i9Je2buzeCwKPQgFcl7lw8EZ3U6xNW8r1JFFDMDcTYBJqc9aVK3UUTMlStJG7wayS+jUEsLl7Uy47e1ylSUrMWb+TxLKBzbJYo9VrX63BJHzPYcGh2N58RICRoHrSUC00yzFtS56JRDfOIrXfbPBcyEq2Z7yVG/+dI3J5/d/9CnGT/6v/60YPeTdTKH13e+cRnHn/xrbN2v7u7q5mPHbxy9YNuumcq3brMZqzisGpWMtRzGWjajTRhpxIw0Q0YaXUZb8/TUPL//0TH2zzQZ9aHhKioOeE7Jgg/ThxKgLSlSCz/oUFpZVNMSQ46o2WZZEtsS6XNNKwMrPXG0hkTplDqk0xVyS252IBsMJaUwr82c3HR/banz+5kTqJUgTilJXJr2a4BavH/uE+QnQKa2LG09V5ywuqTaFJJgkqQTkVXRJStTajxHc/Rkh6/e6DIbBniWwBJmpwq6YxoyOY7Akn0WoyYXnHv6wV+72H7r5qPmPvW0TTVOP+/XfpqQ++lZ8Gy99rW/kv5I+/4FbPsHn1nzvvH69eNjwSKrxl1adYvRpqZdj2lUI5r1Pq16F9dZ4IOXV9i6q007kLT8hJqn8W0TApaly3vGTQeqZMpWnOEfvMSrB5QUgRCyAHpm4UmToRKNUgqlII5Njw8DLm16n5M5jUXDnnQX8s+3UmBb6Ux2AJnxaQ1RrIkTsk/MT8jsvUXupqVatTJ/MBOMM4eyZPGX0+7TPJMkbc4J5moY24aPg6myOmplzBtedoi/vixgf6eKY5n5D3ESEceKRDmEkQW4nLR5NX/yW8/cv2A//4/3E/3LyGjzpw014CkAeP5ziAkOzXT++VUvvFCMVtz3bt923fj8fIfxtmDtih5jLTOS2XEiRhrz3LxV8bGrVuDiMVExDT8DFzxH5K0GlDKpm1FsqEMWwQOWOHa5A1kCrkwtfJbTnTuY6fOcEhgFECeCJBHEiWlYkyhtcsktQyMymVBKTbmAgPyKYqy3Y2tsK2uZoFNH0SLpQLeniJVpyWP2VaDTKFZ2lQLzfZKMS6vC+VUpZ9dK55KCcbh12p+9AHgUS6I4U07AlhZelBAn5u9jbcV/e+EhvnXXIW66x6fmSPqxYvesYEVDESchWili2px9/jP3T60/9+1o/c9CPjXghqcQ4AAjrQr9XvdjL3ruWfFD6/UHvnzNd9uTo/uw3WluuFewuh1wyqY+D+6O+NDnRkFUmaopRqqKeiAIXJFeDs37xYkZ9ZxkE+qUsbUZbdFZgn9GQQQ5PZFW2dEsjZ1OQW5b4Njm5joa207VG1vx0GMJnU6CbZtx044tcOyU2ytdRAYZPsE0lmUA7joax1Y4tvnfcwUPPSqYmddmpLUtzfvbJlVByCz6mEYytbH8CeQtHTTGwksBls56w5r3s6TGsowaFceSUAv6oaTbt4iTwoq7run4miTmII+1E373lQvsn53j4ME2mzZqJsa73PuQxb4Zj9NPGmfD8RdMr1h95h/ML8hPNOr+UwmxpxbgAJ4fEMe9T65ef8ahYzcf2HDc+pG/vPyarzlXfWclr77AI47nuezbHrdubTNZg4mGolmVVAOTduvYhkJoII4VLCTMLGi6oWkJZkkDOlnSl3MFJbWIGb8u0xfILF32HHAcTGs6V1P1E9qNiJH2Ap++3obQY7SmqLgi1cNT+qF0msZaIFxQBJ9sCbatcR1F4CVUvJh2o0eoFvjUdW3CRZt2zfR89F1Z7JOl83wRKNJnSTLHEkhL+SxZLiA2Ka2OrXCcBCk0iWUAfCB0mZmXhLE5AFKC60g6nmmCGScSy9KcuiHiF86f5RNX1ZlsOrz0nB6IRcYnzo5Wra7+4TPPO/1B1/Ou8o4wHOqntZ5ygAPYtq90/64rL37Js93HHrm7M7HS+ciJ6x4SG6em5b6FHjfcM0I7sFnV1ow2LJo1k7DluRLHLiKMWkOtEjHd7bBlv40jJVVHEzjGGjlpBlQGPscSuWU0ARqdqhbadFUlBXwKRscyzdurfkKjGjPe6lBPZhC2x6OHfFw7DYpIYZzGxHBXpXUuKZqopqEIljTUxLyvAXitEjLeWmDn9Cy7ZhqIroMt0xSrlFZYls7abg840pnvAcZqK51ZYlC2sd9SmHQG14nz1nqWFbNvtsqufR7ziyovd5VSYNsC3xV0KjZhbORFx04477hZrrphnm272jy2f0y95gWbtfI2/bZbPfnjN93xWPi8Z2x+qmFlsPVU70C2hPc07vzB3WElWPvJRtP+5mtfrF7tWb33fOJqn4WZCmtHNCvaFqNNh1bDohqYAgpLFkEdx9aMtSJeeuFePvh5h6tunqBdtRAoXEvnUTxLgG0JbFviplcBKQRxogiVyosClBI5iAwwTD6z5yoqfoTvRaxu9XjtRSHv/vgoC6HEsxNcW+MkqaOrisBKOeKeKzsWKa1ReE5M4EdUgh6fvdzmgd2SqaopBzMURuPaZq68TjMIs6uAEKATo7jEsbG+TsrFbct8FzC0yLYUnhtTDfq06/NcfYvig5dVWFEJGatjTvjsRLQEriOodiy6fYso9rGkpt2AXzivz107axyK1//JxZs3fdavTT4ShjvDlVNPTrHCk7H+0wAc4OSTTgTo7nnwX7etOHrqfZ/6jOces3bVO3xrq7V/v8eKEZeJEcmKkYRakGqwecqo6cfRrsesHXd4+y8d4rED8P0tK/BGBEFiNGkgT9/0XNPT3HcNBen0JYvdmH6osNJWW44ydjwrlrVtjWertNd5jOcmNCuKWGn6iSBKnc4s4qiGAzWUeHh6ckordTJthWPHOHbE/KKkG2p6viCMBWGs0/c14Dbfw4DXc41V7/cFswuabt/sv6E05ruZ15nPtW2F50aMtxa4/cEef/mZCfYcrOKNK6Q275nlnGsMJar4MRNthyiyiBKLe3f6HL3uxOTM01f8+Uvfvf59kXwseedbnvFUQ2jJ+k8F8Gyt3PA6/uHSy5M3vf6/vmv7owfsa6779u+1tt/h7T80y5oVitUr5nDthMCTRLGk23fp9m1jpYRmvuOzohnwsnPnuOeRKnP9Bk0vdbJSTurYEs81XL5WMcXOiB7379J0e6axv5QC1ymAIdNsRctW2LbCkmnNqDBTyOKhcLrKQ/UFKIHBgFN64pisPZ2XfQGgNZEyLeySBJJE54GfrNrIcUw/9mY1ZrEfc/N9Eqk1jYpEBTZSGF06SYq8GNtKqPohC70un7+xwo6DLSZ8AVrRDc1+d0LBYghRInA88OyEXqhYPxUT6TEueuZ5/c0nnP9//GDyXXffdjknnvbTiUz+sOs/JcAB3vT6V7Br3xxT4+Idv/oLz5b3blt7zueu+JJcOXHgnOvv6Nmtms/kxAILXcWJ6x0cq8mheZ9e32Z2wSfwarzuOQfYtmuGf72mSlQTuTWyLIHjSDxXUA007VrC1ESXSnU//3Rti2TBxZGmha/ydK5h51bcSgFpKzSmaXtWCJxZ7IEQ+2Hy5Yw11yVlpWiTFrgKS5iTJrsZPbuUCy8NZar4CRMjXRbCOe55tErb8ZgaNWelbQs81+RgZ4lTlqVo1np8+jqbf71mjJrlMFJJCFzznjPzggWtOG7jIvMdm1Utj4a3yO7pFfGqSf+m057+UjU6vvmmR/e679DqIEKOPtVwOez6TwtwgNUTjezu2x/acilve8P6+oM7V/+j7c+8Zr6/Q37y3yyU1rzt1R3qvmR23gEBUSxxbcXKsS7HTIYEfp8wNm3FjBWWOI4kcAVVX9GoxYw0u/jBPP24Srfn0Qs1lSTju4V2nDt6UuNYCfunBdd+z8ulymw94RzQgaCLCccoLXnu0/tc+d2IuU6WSKXzxCpNoaM7jhk8UAtCIjpMd1xiK6ARGBrlpzJflAijkyNwbEU3jNjymE+iK4xXFSM1TS2QpghZKCYbIW956QLdnsW37qzytE0nqq69+rJHw8p/3/fd7fP/49fOeKrh8YTWf2qAl9fRx76ePY/umD/h+OB3ZLDrgZtv/e6JL3/W7Mv37H6Qux6oUa/YeFafKKow0RbYlqJZq3HmcYc4aqrHgX1BHoRxbJG2idNGmvMjqkGfuX5CGJFSjUJRMSH3DFQZnVDYlmJ2UXPHA65pjbBMegDZ4/KXKZfqlCx9PjBKSU7ZGNGuxhyaN3w+KV0dyOVOM03atsz+eE5CNYiYmxd0QqiGmn6kCCNNFAvi2ARsAjfhgccEN99Tp+FIxuuK0YYZ0x7rkCknwfUE197cZvOmjTzj6bUrNm08626/uv5vk6Qzf/TR655qODzh9TMDcICVU+sADmi95Z1nnPriddu2bmfLlhUv/95t9+JZe3lkX0AUKmzbQkqfkUYFx17Asw0HljKVBh2J6wg8R+G5Cs9NqHghn/mWy64DDhP+IJAop91mAZp0WpxtJbiOGcKU5bkM5sJkhQgZISl6mKg8h6OUupqmrPb7ApUkhFoTpymwKtW6TUpuIapn6QBTY4oXnbPIx780Qi+CfqQJQwPwMJIm8qrMfJwwFiSxzWgVxluSVt1m7UpBJ4p56LGQE1e2WTF1EiumjrtCNja+9ZHFxR3POX78qYbAD71+pgCeLSGOZX5mese6Naf9wXyn8ckXTmx+y33b7r5go38v92xbYKIl2b7HZcWIh3RslMp0bBO48F1J4JqgjWsrHCvBdWJ27LXo9C2sStkKZzp7QU2sfL5njHQ1wrKRQpqc9CzHpBQxLVcDZRZb6Yx2mBwQleZjKyVJlElRVVFMrDSRFqVkLl3i+iLP906UoOIJ1q+I6MeaMDYpC/1I0wsTen1JPzJWPEmb1PsO+HXBmpWCh/Yo1qzoMdOp8YoXbWT92hOur1aqf9sa3XSXUtGOsbE1T/XP/iOtn0mAA9RbbYAHtNYPAHc/vCeafMmz13901S07Nm594LvWngNGFxdWhBQ+jqVxHTMVrlYRVCsK11VFDxCZ4LpGPrQlaRZhlg+eNbXJwuvmpNAq4Xv3ORyYd3EdgSNUSmFKNZ/S0CLLEnknqjgBOyEtMNCopAC3mfxr065JTju+x4PfSYgSa4k6o9IMxkSJ1DJLosgi7MeotEpeKU0YmXmUvivp9Cz6kUUcW2gt6CcaFcFEK0LJHpPrzk02jm564Okn9n5jYs15u4Ftg2V4P3vrZxbg2Up/gG1a79ymlHr+sce1pqbWn3HZnbd9u7H94IPVhx6tYiOp+xrPNg0/x9uKybE+na75wY26oJDCwZEC1yJNvzUqhGVllfpFDodtJ2gRc+u9Lp15n7G2CcLYeQjenCyOLXAcywSTpAG0jtKIog1umrCVJII4lsSxpBfaTI7bPP34Hl+6MaSfuLmKUoBbE8cQxcapjmOLOLFRqY4oBLiOIFaC3YcU6Jh6VdILBfMdB5TNhSdFzHRsRlYes/jq1549t39Gv8pvrn70YGLtWPEzDuxs/cwDPFtCrGVuUe84etO6R+ZnFk+Y7YmzhX7GP8raQ7W989ta8wf3EUeawFNMjXc4tLDIPQ+Ocuw6U5YlhUJaEKTdlzxH4DkS15bYVtF+IuPfrp2wfY/mhnuq2J5NxTKz2G27VNFvgW0bSlQNDLhn55XRs7FwbEHsQpxa4SgRRLFFFNl0uy7nnDDPyskuj+ytGR6e1l0qpUkSTRhr+umc935oZrwrZfRsKS1qgcWm9XDXzh47DziMj0hsK+Ghx3ymVm2cf8XzTji0ev3xtmWLN9aqx9689qjqLCglxE+1TOAnun7iNZk/zdWoClxLqHt3zU97tVVf/cLX713/4he8+Pfe80dvuOfVLz399slVE3esXVXruUHCR6+02HvAgMW2EmzbgMK3BYELgS/N9GbfZAZmxQ1CmIip40Rs3y3Ytr2K70kqjslTcdPCC5FycMc24J4cTVgx0mXfTJe9hyK63YQoLip2EmXA3Y9s+pHDYs9j81rYONklThIiZapsUhpPFGu6vYTFLnR6Ft3QIowcVCJT8ANoxpuCN7xojqBmo0S112i17/BHzrxn9ebf/PO5Xf+0odFobJqcnPhqvbF3WgjxcwVu+Dmy4OV1/smTAGquE4OQ/6xE/1LHtnjF80+wVk1UPhIn+zadceKBZ6ysTlsjzQV6ccyB2QStJb4NVV9QCyxadYuJtkJrxULXouKZMameEwM9Pv8dD2371GwzraLimfx04zCafHRLQuDB5FifbjLNY/M+quvTrCUkykrzUUw1frdvIwDPSeiHDnHo8YpnLPCt2/t0ogCNkTgrnmSxp1jsmro035Msdh16oUOSSCp+iBs4dCKb2W6D9ujq5OUvWndDw29sC+XCm6XoJtKqcMw5n9HN1trOU/17/STXzyXAs9Wo5F8vE/ziPftm/rttu+23/vdDf3H/vd90a9bWZOvuyml9Jk9XyTSBHeI7Ns26x3hLsWbFPNv3RDyyt00tMOmivt/jmtsEX7mlDZZDYGsqrqZZkbTrFvPdkNkFie+aj7VtTcWPUFGPfmQT9U0FkBDgu4pGJWR6AeYWfUYaAs+NqVUc4tjl+afP8ewzDvCtO1aRKEN31qy0eOCxebY/KtBa4Vou9UDRqEpq9Ta/8sK1TI1z621369vao+utY058TnjWs0b/ZxL2p22v9VT/LD/V9XMN8OXWyokWwDTwmwBf/sq3GR0XF0xOLj7v9JMXXnXMut7mwA6xkgcJnD6L/R5fu62P7vscNelTr4R8/faEv/rsSvpRYHrvCRvfETTrNidskCRWl//4uo/vCZLEhN5tqZFCobRRPzTGutcrMfXaAlfeYmNFHidtkLRqttHEUbh2lf/1SyG2Pc2WrWNYUjPe6tNuH2LXgSZa1pnru6xa+zRGVjhcsFZuPWr/6GWnHO1d8+rn6es3nXgBb/qNp/qoP3Xr/zmAD68XveB8gOt3752+/vmr+LbQ8YbFxWm17c5dyq9MHFVpnPDHU/ftpu7VGG3vY7azg49d7aO6Af/lIs2WPX22PVSjF0PFE6wYUSRWxGLk0Att4iTNZJEgpZnPrtJkKdsC31NUgw67p6s4YcxRq2xsK8Z3Eq6/O+CBHU2edVKfXzx/mndtc3H81axdtwLLmeBltQ0c2Lfwvt279z983Ilny/HxERn48sGnwVdd/0efTPbztP6fB3i2Jle0Ab6aPdZ6B+C19uzdfdMZJ/pEUSV6+mkbf3e2f9pzf/FlNk0HJis3cfu2/axu29gioRJUsKweC31FHMWEoaTThV7XQas+gkW6fYd+PwBtAkAqiQijBKEThLBwHZ89szH751vcsR32HhznJc87lbM293h33aXfq1y7YmXvAwv9CefUyadRrU9dn8T9mY3H/OxFGX8a6/8H+GGWEOsAZoAvAvQWdyEEW3YdYMUFVaGqTsj+7XfRqh7i+HUW8x1NZ4Fo4+Yz3n1ofs/FL3qmjKq2pFmzmJqwqLTnUb31vPD8gMUFn2PX+EyNC1r1BMdb4KzTA6dqj3xJdn/w7umO4ywsukRxQq0aMD55IiNNiwvbQh6YdfcKwcMnHbXyqT5EPxPr50PN/0+ydj74HYQQK3bv2968+S60I03G4sSIxbpViyx0Iu58yGV+QbJ+RcDECASeQsg+tz/siZWjU7Novffi55/3VH+Vn5v1/wEE5zpc9qiFAQAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNzo1NjoyNCswMDowMGm/PdwAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTc6NTY6MjQrMDA6MDAY4oVgAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 6}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 31242487
    {'hecke_orbit_code': 9007749111218288, 'n': 1, 'trace_an': 4}
  • id: 31242488
    {'hecke_orbit_code': 9007749111218288, 'n': 2, 'trace_an': 0}
  • id: 31242489
    {'hecke_orbit_code': 9007749111218288, 'n': 3, 'trace_an': -8}
  • id: 31242490
    {'hecke_orbit_code': 9007749111218288, 'n': 4, 'trace_an': 0}
  • id: 31242491
    {'hecke_orbit_code': 9007749111218288, 'n': 5, 'trace_an': 38}
  • id: 31242492
    {'hecke_orbit_code': 9007749111218288, 'n': 6, 'trace_an': 0}
  • id: 31242493
    {'hecke_orbit_code': 9007749111218288, 'n': 7, 'trace_an': 168}
  • id: 31242494
    {'hecke_orbit_code': 9007749111218288, 'n': 8, 'trace_an': 0}
  • id: 31242495
    {'hecke_orbit_code': 9007749111218288, 'n': 9, 'trace_an': 380}
  • id: 31242496
    {'hecke_orbit_code': 9007749111218288, 'n': 10, 'trace_an': 0}
  • id: 31242497
    {'hecke_orbit_code': 9007749111218288, 'n': 11, 'trace_an': 424}
  • id: 31242498
    {'hecke_orbit_code': 9007749111218288, 'n': 12, 'trace_an': 0}
  • id: 31242499
    {'hecke_orbit_code': 9007749111218288, 'n': 13, 'trace_an': -1848}
  • id: 31242500
    {'hecke_orbit_code': 9007749111218288, 'n': 14, 'trace_an': 0}
  • id: 31242501
    {'hecke_orbit_code': 9007749111218288, 'n': 15, 'trace_an': -1784}
  • id: 31242502
    {'hecke_orbit_code': 9007749111218288, 'n': 16, 'trace_an': 0}
  • id: 31242503
    {'hecke_orbit_code': 9007749111218288, 'n': 17, 'trace_an': 2346}
  • id: 31242504
    {'hecke_orbit_code': 9007749111218288, 'n': 18, 'trace_an': 0}
  • id: 31242505
    {'hecke_orbit_code': 9007749111218288, 'n': 19, 'trace_an': -360}
  • id: 31242506
    {'hecke_orbit_code': 9007749111218288, 'n': 20, 'trace_an': 0}
  • id: 31242507
    {'hecke_orbit_code': 9007749111218288, 'n': 21, 'trace_an': -1526}
  • id: 31242508
    {'hecke_orbit_code': 9007749111218288, 'n': 22, 'trace_an': 0}
  • id: 31242509
    {'hecke_orbit_code': 9007749111218288, 'n': 23, 'trace_an': -12}
  • id: 31242510
    {'hecke_orbit_code': 9007749111218288, 'n': 24, 'trace_an': 0}
  • id: 31242511
    {'hecke_orbit_code': 9007749111218288, 'n': 25, 'trace_an': -1872}
  • id: 31242512
    {'hecke_orbit_code': 9007749111218288, 'n': 26, 'trace_an': 0}
  • id: 31242513
    {'hecke_orbit_code': 9007749111218288, 'n': 27, 'trace_an': -5744}
  • id: 31242514
    {'hecke_orbit_code': 9007749111218288, 'n': 28, 'trace_an': 0}
  • id: 31242515
    {'hecke_orbit_code': 9007749111218288, 'n': 29, 'trace_an': -14104}
  • id: 31242516
    {'hecke_orbit_code': 9007749111218288, 'n': 30, 'trace_an': 0}
  • id: 31242517
    {'hecke_orbit_code': 9007749111218288, 'n': 31, 'trace_an': 3548}
  • id: 31242518
    {'hecke_orbit_code': 9007749111218288, 'n': 32, 'trace_an': 0}
  • id: 31242519
    {'hecke_orbit_code': 9007749111218288, 'n': 33, 'trace_an': 3398}
  • id: 31242520
    {'hecke_orbit_code': 9007749111218288, 'n': 34, 'trace_an': 0}
  • id: 31242521
    {'hecke_orbit_code': 9007749111218288, 'n': 35, 'trace_an': -27496}
  • id: 31242522
    {'hecke_orbit_code': 9007749111218288, 'n': 36, 'trace_an': 0}
  • id: 31242523
    {'hecke_orbit_code': 9007749111218288, 'n': 37, 'trace_an': -11090}
  • id: 31242524
    {'hecke_orbit_code': 9007749111218288, 'n': 38, 'trace_an': 0}
  • id: 31242525
    {'hecke_orbit_code': 9007749111218288, 'n': 39, 'trace_an': 1624}
  • id: 31242526
    {'hecke_orbit_code': 9007749111218288, 'n': 40, 'trace_an': 0}
  • id: 31242527
    {'hecke_orbit_code': 9007749111218288, 'n': 41, 'trace_an': 7000}
  • id: 31242528
    {'hecke_orbit_code': 9007749111218288, 'n': 42, 'trace_an': 0}
  • id: 31242529
    {'hecke_orbit_code': 9007749111218288, 'n': 43, 'trace_an': 25360}
  • id: 31242530
    {'hecke_orbit_code': 9007749111218288, 'n': 44, 'trace_an': 0}
  • id: 31242531
    {'hecke_orbit_code': 9007749111218288, 'n': 45, 'trace_an': -1300}
  • id: 31242532
    {'hecke_orbit_code': 9007749111218288, 'n': 46, 'trace_an': 0}
  • id: 31242533
    {'hecke_orbit_code': 9007749111218288, 'n': 47, 'trace_an': -22956}
  • id: 31242534
    {'hecke_orbit_code': 9007749111218288, 'n': 48, 'trace_an': 0}
  • id: 31242535
    {'hecke_orbit_code': 9007749111218288, 'n': 49, 'trace_an': 4900}
  • id: 31242536
    {'hecke_orbit_code': 9007749111218288, 'n': 50, 'trace_an': 0}
  • id: 31242537
    {'hecke_orbit_code': 9007749111218288, 'n': 51, 'trace_an': -384}
  • id: 31242538
    {'hecke_orbit_code': 9007749111218288, 'n': 52, 'trace_an': 0}
  • id: 31242539
    {'hecke_orbit_code': 9007749111218288, 'n': 53, 'trace_an': -3042}
  • id: 31242540
    {'hecke_orbit_code': 9007749111218288, 'n': 54, 'trace_an': 0}
  • id: 31242541
    {'hecke_orbit_code': 9007749111218288, 'n': 55, 'trace_an': 50152}
  • id: 31242542
    {'hecke_orbit_code': 9007749111218288, 'n': 56, 'trace_an': 0}
  • id: 31242543
    {'hecke_orbit_code': 9007749111218288, 'n': 57, 'trace_an': -38116}
  • id: 31242544
    {'hecke_orbit_code': 9007749111218288, 'n': 58, 'trace_an': 0}
  • id: 31242545
    {'hecke_orbit_code': 9007749111218288, 'n': 59, 'trace_an': -65808}
  • id: 31242546
    {'hecke_orbit_code': 9007749111218288, 'n': 60, 'trace_an': 0}
  • id: 31242547
    {'hecke_orbit_code': 9007749111218288, 'n': 61, 'trace_an': 42486}
  • id: 31242548
    {'hecke_orbit_code': 9007749111218288, 'n': 62, 'trace_an': 0}
  • id: 31242549
    {'hecke_orbit_code': 9007749111218288, 'n': 63, 'trace_an': 4760}
  • id: 31242550
    {'hecke_orbit_code': 9007749111218288, 'n': 64, 'trace_an': 0}
  • id: 31242551
    {'hecke_orbit_code': 9007749111218288, 'n': 65, 'trace_an': 3164}
  • id: 31242552
    {'hecke_orbit_code': 9007749111218288, 'n': 66, 'trace_an': 0}
  • id: 31242553
    {'hecke_orbit_code': 9007749111218288, 'n': 67, 'trace_an': 42312}
  • id: 31242554
    {'hecke_orbit_code': 9007749111218288, 'n': 68, 'trace_an': 0}
  • id: 31242555
    {'hecke_orbit_code': 9007749111218288, 'n': 69, 'trace_an': 10308}
  • id: 31242556
    {'hecke_orbit_code': 9007749111218288, 'n': 70, 'trace_an': 0}
  • id: 31242557
    {'hecke_orbit_code': 9007749111218288, 'n': 71, 'trace_an': 4416}
  • id: 31242558
    {'hecke_orbit_code': 9007749111218288, 'n': 72, 'trace_an': 0}
  • id: 31242559
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