LMFDB - Newform data

Formats: - HTML - YAML - JSON - 2023-06-09T12:12:46.471188

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_indexes	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_polredabs	boolean
is_rm	boolean
is_self_dual	boolean
is_self_twist	boolean
is_twist_minimal	boolean
label	text
level	integer
level_is_prime	boolean
level_is_prime_power	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

mf_newforms • Show schema

{'Nk2': 144, 'analytic_conductor': 0.7683431805595888, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [], 'atkin_lehner_string': '', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1, 1, [], []], 'cm_discs': [], 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 201326593, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1.12.a.a', 'level': 1, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': True, 'level_primes': [], 'level_radical': 1, 'minimal_twist': '1.12.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-24q^{2}+252q^{3}-1472q^{4}+4830q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '11.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1.12.a', 'trace_display': [-24, 252, 4830, -16744], 'trace_hash': 844603057916374378, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.978', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.917', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.685', 'prec': 17}], 'trace_zratio': 0, 'traces': [1, -24, 252, -1472, 4830, -6048, -16744, 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-22256130175851894, 1868019557983488, 5442366024533060, 121759673710080, -1300110507573696, 1722619906722432, 10810987426382112, 14414456987320320, -4590371381461740, -2397149957416368, 3381847082390196, -1302434439348224, 20377723102676160, -3750993930499200, 8944439700308392, 6207816494668800, -8524766970273078, -4770330071189760, 6011114426772000, -542984608147968, -28102437759471274, 696749301810240, -6029568464839416, 2548958848450560, 4222089494633682, -4628357208458424, 516091995437132, -5873015772013824, -6316091224178400, -7880876369248608, 5719060466578536, -3879131953213440, 4398936813945856, 2897178951391200, 890229680050932, -10796918367606784, 28650951002224320, 6746142538900800, 8121085805687400, -5660667323351040, -2714273523041472, 14696835447157200, -6785413121403840, -4265574004065600, 11022255310711932, -3953397257724096, 72261719397504, -7193206955658240, -4814420815766940, 4986257257384704, -84377784300844, 2001683841040128, -9289515101228586, -1121368936746240, 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-10255287323350908, 340483770574976, 26286732520684860, 1887961499633664, 18495304308397016, 42098067939840, -18554019842302560, -8695572865852320, -21487665696030828, -19725972671349504, -9992711669027360, 5277839322284736, 3712431555768600, 6866990520492032, -8738799717564174, 2164172529988224, -13361513402011320, 12065015350120320, -8350791783897330, 11612715073634592, 11892426157508232, 6559563764920320, -13891521966029820, 21282425086618080, -11339234730690048, 9066794992837120, -319279232436576, 7042709342934720, 23440857788319392, 10394584268931072, -16023173525318736, 3934767105464832, 3518130472626000, 10881679211246592, -21400415987399554, 2613065262540000, 13352424013671120, -30328412970240000], 'weight': 12, 'weight_parity': 1}

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

mf_hecke_nf • Show schema

{'an': [[1], [-24], [252], [-1472], [4830], [-6048], [-16744], [84480], [-113643], [-115920], [534612], [-370944], [-577738], [401856], [1217160], [987136], [-6905934], [2727432], [10661420], [-7109760], [-4219488], [-12830688], [18643272], [21288960], [-25499225], [13865712], [-73279080], [24647168], [128406630], [-29211840], [-52843168], [-196706304], [134722224], [165742416], [-80873520], [167282496], [-182213314], [-255874080], [-145589976], [408038400], [308120442], [101267712], [-17125708], [-786948864], [-548895690], [-447438528], [2687348496], [248758272], [-1696965207], [611981400], [-1740295368], [850430336], [-1596055698], [1758697920], [2582175960], [-1414533120], [2686677840], [-3081759120], [-5189203740], [-1791659520], [6956478662], [1268236032], [1902838392], [2699296768], [-2790474540], [-3233333376], [-15481826884], [10165534848], [4698104544], [1940964480], [9791485272], [-9600560640], [1463791322], [4373119536], [-6425804700], [-15693610240], [-8951543328], [3494159424], [38116845680], [4767866880], [1665188361], [-7394890608], [-29335099668], [6211086336], [-33355661220], [411016992], [32358470760], [45164021760], [-24992917110], [13173496560], [9673645072], [-27442896384], [-13316478336], [-64496363904], [51494658600], [-49569988608], [75013568546], [40727164968], [-60754911516], [37534859200]], 'ap': [[-24], [252], [4830], [-16744], [534612], [-577738], [-6905934], [10661420], [18643272], [128406630], [-52843168], [-182213314], [308120442], [-17125708], [2687348496], [-1596055698], [-5189203740], [6956478662], [-15481826884], [9791485272], [1463791322], [38116845680], [-29335099668], [-24992917110], [75013568546], [81742959102], [-225755128648], [90241258356], [73482676310], [-85146862638], [-262717201024], [631528759932], [-297198746214], [596793577940], [-1115433620850], [-824447297848], [1315116754406], [-357832759588], [2754833892216], [-950387449578], [1681384224780], [-996774496018], [2762403350592], [5442387685442], [-2876091504354], [728391402200], [-6793168439188], [7334863021472], [-1359839565924], [-11824411223170], [-17563353448518], [-7139577462960], [-231306909358], [12983053545252], [23961192565506], [-24273728464488], [25837706543670], [-3767932360528], [-16418932005874], [21035722907082], [16713176326532], [-23926858987458], [15311092828556], [49875160575912], [-99480832756438], [83369248359366], [-63584021925868], [121001428335986], [-155661561078204], [-25643022194650], [24909815245602], [157584150853560], [-177901220129584], [-55161734023378], [146463116322980], [231449571733632], [-149871571611810], [208110680273846], [-133407937691598], [-206167580638390], [73403515193820], [171111932338622], [-71775829446768], [99881248225682], [-29031220908760], [328369848718692], [-612368143631550], [303483032911706], [-729307946668938], [122188164073712], [-617380683662484], [1050837984850080], [-219909971761864], [-483863128068108], [-108877719272500], [506588355787752], [85753393288710], [927574652509722], [-21818651341228], [-1695266465052058], [752144751323996], [187489032934806], [244971285916812], [1352425875836970], [1432228477996772], [-877659324192574], [-2434250501782764], [-303318212278158], [-1701984261329400], [2339216023326602], [-2496072486898144], [2473009012516862], [24336777156666], [4225450805148020], [-4263261111420568], [1008295928583042], [303982416160892], [3435828424131096], [-1185387156769098], [-2265102374509140], [-5330121520762738], [4741198635421922], [-1413071638641474], [-3031157627077068], [-2747313442193908], [5727465442629702], [698326457818910], [9709787093595120], [2464686886685576], [7912852398754982], [-8406936179151460], [1362869794471992], [6817220120892752], [-667048975014994], [-7744079729695638], [2524111226919170], [-11145268112466978], [13227104255899436], [2302477758246246], [5604717670694010], [-5085164185024588], [279110773799022], [-13526517861603928], [272543929352676], [18045917610367430], [-7961834707368360], [-14982644001390898], [-22256130175851894], [5442366024533060], [10810987426382112], [-28102437759471274], [4222089494633682], [516091995437132], [5719060466578536], [-84377784300844], [-11009058285505488], [-4863513801242680], [3575343976258530], [38637331724206586], [-34899727878407658], [-28512291118415604], [40033434235820202], [18495304308397016], [-21487665696030828], [-8738799717564174], [11892426157508232], [23440857788319392], [-21400415987399554]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 201326593, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1.12.a.a', 'level': 1, 'maxp': 997, 'weight': 12}

Column	Type
AL_dims	jsonb
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_indexes	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_prime	boolean
level_is_prime_power	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

mf_newspaces • Show schema

{'AL_dims': [[[], 1, 1]], 'Nk2': 144, 'analytic_conductor': 0.7683431805595888, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1, 1, [], []], 'conrey_indexes': [1], 'cusp_dim': 1, 'dim': 1, 'eis_dim': 1, 'eis_new_dim': 1, 'hecke_cutter_primes': [], 'hecke_orbit_code': 201326593, 'hecke_orbit_dims': [1], 'label': '1.12.a', 'level': 1, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': True, 'level_primes': [], 'level_radical': 1, 'mf_dim': 2, 'mf_new_dim': 2, 'num_forms': 1, 'plus_dim': 1, 'prim_orbit_index': 1, 'relative_dim': 1, 'sturm_bound': 1, 'trace_bound': 0, 'trace_display': [-24, 252, 4830, -16744], 'traces': [1, -24, 252, -1472, 4830, -6048, -16744, 84480, -113643, -115920, 534612, -370944, -577738, 401856, 1217160, 987136, -6905934, 2727432, 10661420, -7109760, -4219488, -12830688, 18643272, 21288960, -25499225, 13865712, -73279080, 24647168, 128406630, -29211840, -52843168, -196706304, 134722224, 165742416, -80873520, 167282496, -182213314, -255874080, -145589976, 408038400, 308120442, 101267712, -17125708, -786948864, -548895690, -447438528, 2687348496, 248758272, -1696965207, 611981400, -1740295368, 850430336, -1596055698, 1758697920, 2582175960, -1414533120, 2686677840, -3081759120, -5189203740, -1791659520, 6956478662, 1268236032, 1902838392, 2699296768, -2790474540, -3233333376, -15481826884, 10165534848, 4698104544, 1940964480, 9791485272, -9600560640, 1463791322, 4373119536, -6425804700, -15693610240, -8951543328, 3494159424, 38116845680, 4767866880, 1665188361, -7394890608, -29335099668, 6211086336, -33355661220, 411016992, 32358470760, 45164021760, -24992917110, 13173496560, 9673645072, -27442896384, -13316478336, -64496363904, 51494658600, -49569988608, 75013568546, 40727164968, -60754911516, 37534859200, 81742959102, 41767088832, -225755128648, -48807306240, -20380127040, 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Column	Type
conductor	integer
degree	integer
multiplicity	smallint
order	integer
parity	smallint
self_twist_disc	integer
source_char_orbit	smallint
source_dim	integer
source_hecke_orbit	integer
source_is_minimal	boolean
source_label	text
source_level	integer
target_char_orbit	smallint
target_dim	integer
target_hecke_orbit	integer
target_is_minimal	boolean
target_label	text
target_level	integer
twist_class_label	text
twist_class_level	integer
twisting_char_label	text
twisting_char_orbit	smallint
weight	smallint

mf_twists_nf • Show schema

id: 0
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1.12.a.a', 'source_level': 1, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1.12.a.a', 'target_level': 1, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 12}
id: 1
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1.12.a.a', 'source_level': 1, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '9.12.a.b', 'target_level': 9, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 12}
id: 2
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1.12.a.a', 'source_level': 1, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '16.12.a.a', 'target_level': 16, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 12}
id: 3
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1.12.a.a', 'source_level': 1, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '25.12.a.b', 'target_level': 25, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 12}
id: 4
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1.12.a.a', 'source_level': 1, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '25.12.b.b', 'target_level': 25, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 12}
id: 5
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1.12.a.a', 'source_level': 1, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '49.12.a.a', 'target_level': 49, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 12}
id: 6
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1.12.a.a', 'source_level': 1, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '49.12.c.b', 'target_level': 49, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 12}
id: 7
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1.12.a.a', 'source_level': 1, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '49.12.c.c', 'target_level': 49, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 12}
id: 8
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1.12.a.a', 'source_level': 1, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '64.12.a.b', 'target_level': 64, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 12}
id: 9
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1.12.a.a', 'source_level': 1, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '64.12.a.f', 'target_level': 64, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 12}
id: 10
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1.12.a.a', 'source_level': 1, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '81.12.c.b', 'target_level': 81, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 12}
id: 11
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1.12.a.a', 'source_level': 1, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '81.12.c.d', 'target_level': 81, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 12}
id: 12
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1.12.a.a', 'source_level': 1, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '121.12.a.b', 'target_level': 121, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 12}
id: 13
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1.12.a.a', 'source_level': 1, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '144.12.a.d', 'target_level': 144, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 12}
id: 14
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1.12.a.a', 'source_level': 1, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '169.12.a.a', 'target_level': 169, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 12}
id: 15
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1.12.a.a', 'source_level': 1, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '225.12.a.b', 'target_level': 225, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 12}
id: 16
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1.12.a.a', 'source_level': 1, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '225.12.b.d', 'target_level': 225, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 12}
id: 17
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1.12.a.a', 'source_level': 1, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '256.12.b.c', 'target_level': 256, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 12}
id: 18
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '1.12.a.a', 'source_level': 1, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '256.12.b.e', 'target_level': 256, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 12}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 0
{'charpoly_factorization': [[[24, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 2}
id: 1
{'charpoly_factorization': [[[-252, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 3}
id: 2
{'charpoly_factorization': [[[-4830, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 5}
id: 3
{'charpoly_factorization': [[[16744, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 7}
id: 4
{'charpoly_factorization': [[[-534612, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 11}
id: 5
{'charpoly_factorization': [[[577738, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 13}
id: 6
{'charpoly_factorization': [[[6905934, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 17}
id: 7
{'charpoly_factorization': [[[-10661420, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 19}
id: 8
{'charpoly_factorization': [[[-18643272, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 23}
id: 9
{'charpoly_factorization': [[[-128406630, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 29}
id: 10
{'charpoly_factorization': [[[52843168, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 31}
id: 11
{'charpoly_factorization': [[[182213314, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 37}
id: 12
{'charpoly_factorization': [[[-308120442, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 41}
id: 13
{'charpoly_factorization': [[[17125708, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 43}
id: 14
{'charpoly_factorization': [[[-2687348496, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 47}
id: 15
{'charpoly_factorization': [[[1596055698, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 53}
id: 16
{'charpoly_factorization': [[[5189203740, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 59}
id: 17
{'charpoly_factorization': [[[-6956478662, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 61}
id: 18
{'charpoly_factorization': [[[15481826884, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 67}
id: 19
{'charpoly_factorization': [[[-9791485272, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 71}
id: 20
{'charpoly_factorization': [[[-1463791322, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 73}
id: 21
{'charpoly_factorization': [[[-38116845680, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 79}
id: 22
{'charpoly_factorization': [[[29335099668, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 83}
id: 23
{'charpoly_factorization': [[[24992917110, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 89}
id: 24
{'charpoly_factorization': [[[-75013568546, 1], 1]], 'hecke_orbit_code': 201326593, 'p': 97}

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

mf_newform_portraits • Show schema

{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '1.12.a.a', 'level': 1, 'portrait': 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/zT76ozUhzl1KUxLlzzmFuyhLFl+0aDoYbvtAkTzWprgo1TFXPHzdv/eHK8+qOdbtS44ebv+WZD4r/q+BsN8Hq9SaXSwRj9C3NXLtx77PB/lgkL91ZUW3/xqa0cnw5ptBOGi5KpYY+hioMAGu2IpVrE7IrlzIJgZLTOz35omTv3FLmyMMrsUpHZZc3CimV+OebqUsJiM2ZopMt9h1rcvR9cWcBTHgurPnPLmvlVQTuAODb4rqHkJwxXYwwwMx/TaMG2SYdSIcBaAcKl1TFsnQpYWdNgUyqy1oIgBotltR6yacKh2VEIZREmoOI7bN3QZa0tmJnVJEYzWpGUfYHnQBwL2oFkflUyt2JZqMV4XhecmHsOtrj3BsF4pcBKrcKVBY/ZZVhYjllYjbm2ChdWLXccWOZnP1RjvDLMpWujXF0ssLCiqbdSRIxULBvH2wxV2qw1HV465/PnT69x034vLpc2PPnBd7/L7Nyx68nVhvmnezY7FEulbzZU/tLjbyzAp0/8Dttv+AFWVpZ//uFHv/q/1+cPe88dazDbbPCj39HANeO8cLrCUi39931XorUgSaDdTVhrRKzUY+ZqcGFZMDrW4Od/cIFbd7isrI1wbbHM/IrH/IpkqWZYWEmYryW0wpjAxOzZ0mb/TlitSQ5sCXjgZkMUKwSWzz7ts1j32TwSMD2naLXK3LQ7YbERMzMLe7dIzs3CPfsMxga0Ix9Ph1R8zVMnCxQLEZ6KCRNLkmjuOtDhwlWPvdsiLs3Ccq3ETbsTGt0uFxYUW0YCVhshf/FkESsUSZLw4C1tdm2xzK853Lqry66NDnFUpN0pMLfsM78sWKolLNZiFlYNV1YF862QW/au8i+/r8VUtcrlhWHml32W1jSrdUmra4gTi6Og4AFYVtYML5yLEd4qP/TWmFpjkmsrJb7tDbcGN93ypl8ZGRn557/4kU/zUz/yrm82ZF7x+BsJ8Ccf+yRjk7equasP/1+nz9X++fHTc2rbxmVEMsJXXoCuaPLj39Fg0/AQl+fLNNqaMBbEsaAbCtpdqDcTao2IWjNhqW65UhPoQpd7Dq7y/gdCdkyUWGtVWFwtsLTqslwXrNYNK3VDrWlodAyNwNLuxoxWIrZOGkDgOZariw5CemybUOzYaNk40WahFnD0XJnb9liKhRrHz49QLoWEocPosKHThQNbu3zsa0Ps2xITBJaxqiRKOpR9jxPTXQpOiVv2xhy7GLKw4rJp1GPHBtg6FaJUxNVlcB2LEJZtkzHDZUmz49FqOzTaDqsNxeoarNQNq/WE5XrCfB1WuglbN7V4/4PLvGq/xtNV5pYrLK16LNc1qw1BvWnodBOCyBDHliiBZtsyvWyZnKzz4+8IiYNxHnpOkYg1Du2oUhjeniTO5M/fNL7z5y7VZ5MPftd7v9nQednxNwrgLx0/ie/7hStXrm29eu3E+7789NV/NXv1Gq+9xeGxM4YPvEZy+KTPoy8FeOUG//i76uzZUGZhtUy95dLuKtodRbMjqbeg3jKsNWPWGjGrDct8XTDXsljR4l3313nrnYadG3zCsEit7rPWcqk3FbWWoNkWdIOUkyYJKGnxHCh4lqGKZWIkQjtdLsyFvHTew8Ql3nxXiHbWeOFUle0b4AvPxtx/o8divYOvFXESMTIMceSgnZiVlSL33drgC0+V2bEBnj8X4FDkTXcaYtHhpQsJl676aOkyOawZLgkKnsB1BUpAbCCMLN0wBeNay9BsG9bahpWWpZMkbNvc5q1313nXvSGYMitrVRZXC6ysuekD0RDUWzHNVkyra2h3Ld3QstYWXKvDrm01/vH7m5T1JI+8WOHw2Q7ve32dp4+Pce+NK4xNTHGttuf/vO3mWz4xObXpchB0Opu37v9mQ6l3/I0B+MLcWSamJtznnj/z/c8fOftrDz1+RIRRTW6d1ISBy/RKmx9/u+T4uQovngk4PG2YmKzxMx+qcWi7z3KtQq3p02i7NFuaeltRbwnqTUu9lVBvxtTbhlrTstAUzNUNw0Nt3nB7k3v2x2ybVFQKDo2mj+dIQBHGEmMExkK7CwjDcLnLuWsWY0Meer5E0C6we5PLqw61icwajx4e4pY9DufmW9RrFe4+1OYrL3hMjlhOzVj+7jsbnJr2mByRPHxY8aoDitV2g4tXRrhlb8ijL3WIgyL3HHTZtaVLJ27x5RcUJIILVzWVokYLaHckxgoSY4liQBq0a6i3LKVyxJYNAfceaPOG22JGSz4Lq1VW1grUGi61hqbWFNRblnozodGOabYNra6l0YGVtmSuYbhh9yr/1wfX2DQ8wtFzE7xwSnJips0Pv7PG1bkRgrjDlomYUnHYDE/cZYfG9vwE3r7ftdFiePNNfzMqLX8jWvXWdqSJW28/9eKndl+46P/S57/6tOp0LQe3x+zY0OXEjOb1t3aRYgStBNWSZOuI4aXpEf7lxyw/932L3LKjS7lYZWWtSMHz8D0H39X4rsL3NUVfUWrHlAsJI2XDxqpgqVXmc4+X+bNHAm7a02FqJKHV7vKWuwO2TxniRKKlJYzhsRM+lxd9Ngwbjl/wwYywf7Pi1lsMnt/kiZNtlpar3LC9SCxqzC063LEHpucjxko+4yPgzWvaXY+FVY2jHbZvrHPy0gi3HvC4NNvg8uwQb7s7YbG+wrMnhzgxXeL2fQW+58EuyBZHLxkmRlosLEU8etShGym0BG0s2zeEvOHukGZLsXHYcOseCMMSq/Uix+c81loOjbai3pI0WtBoJzRbCc12ktKxjqXWkcw3BaudiNt3r/DTH6yzf3OVM9NV1lqaODFYI/jKEc2+TR0uXdFYFAe2tuXFs4/gLyX/4dTcpeIPf+Bt59vd6C+KvmO+2dj6pgP8zNUmpy+H3zt36fC/WZi+OPLC8S4bRiWOYxmpapS2fPt9AWOVEpdmfaJY4GrBUBF2jMLJi6P89Ecl77hnhe96zRI7N6eUpeD5FDyXou9QKmiaBUm541AtadrdhFYnYTIwdAJLs+uxuuRz9YoljA3X5mM8zwICV1m0FLQ7CoFD3NbcvF2wa6Nl66Y2QdLki88pTp8f5o23edx6oMbvfdHiiiLbN7U59pRi05BirNLGVwXCyGGxCSVfs3lScOR0yK17CzxwyzIf/VwH1ynz+rssjtfmq8+GfOGZEicvFdi5scj2DQnjwyE7xiJu3J6glEErC1iKnsf4kEcYOTTbLsfPObS6mnZH0epKWh1odS2tdvrdm52EVsfS7FjqXVhqKRbWLIVKgx/79mW+/a6I/VvKXFkYYq3lEIYCrQQVX/HkkSpnp1vsmopZXnM5kQgcBc1rh53lcPzfzJx/evWO22/9R9Yuf1SIb24H9JsKcGvaIMQPff6hJ3/hTz/30Mht2xYol1wu1wrcub3Das2wtDLKSAlWViW1liSMQUlBwRWMlAzbjeTMhRH+5Tmfc3OLvPOeJvce7DBULrNaL7LW9Kl0XFptTTO72Z2uph1ouoGlGxrCyBJFljhJzzB2sQakEjha4LuCobJguAxTY4bNk23Ghut86QV47EUHaaq88TaHm/c3eeJkRNit8KqbBfVOh8WVEvfsNYwNtSloj26sWGpEKCO4ea+mWA44fMbn1bdWufumJofPKLBVbjvo8oNvW+UrR0Iefq7Eqcs+W8cVUyMFhstFquW00uFoi5JgLJy6JEgSQRQLwhiCiPQ7BmlrvhMY2l1DOzC0OtAIYLklWWxBYLq89pZV3nZPg+9+nSUIhphdrrDW8GgHmsSA40jGhhSOhigZYqwsMbrL+TnLnXtDLi9LFlbmOXfiL0Yg+b/37nutXl7t/PbYSOF/PoBfvlZjftn84Be/+tgv1Oe+NDFRDJld8ekEkp0Tgl0bu3z5MiwuW4xxKHiCxEAcW6QEzxWUCwJjDFIIFloFPvH1zXztcIP7b1zjg69b48YdLcaGi6ysFWl2PNodh3ZX0w0V3UDRDQVBJIliQRxDYizWpp9PSYvW4LtQLBhGyhGbJtrEtDh3LeKPH/W5eKXEkFfgjoOaew41ePZsnYeernDXHp+tG9p87GsCJTwq5Yi1VoCxoASMV9o0mi4mLvD2+xf5+BeK7FrweetdbcJohUdfGiVKfO48OMFb72iwZ0udrx5uc+xKkaOXXDaPSEYqgqIncJ30IZQChLAYC8ZYojh7WCNLEFmC0NANoR1CsyuoBYLVJgjd5ea9a3zwDWvcdzBhtFxktV5mtV6g3vRotDXdQJKYNEqXi5qCryh4iv07EhYaXZ4/o5moFBmtSAqe4PjZkOOXvjzxd8aSX9i6+7XWJqv/SaiR/zkA/rGPfZRIDvOVrz/84eFC55cef+zk2IXZGt/1eoOnChhjqZZr/MWzhhdOltkzGdNsC6zVCCGwFpQS+K4kMWCtQUqLqwyljmK5PswnHynxzPEWr7ppjQ++fo1bdtUZTQrEsUe769PqOHQCTRgpolgSJ+kNNFYgsEhh8VxD0Y/x3BDXCbi2EvC55yXnr7pcujqMMh67Nrgc2KG4bX8D5S3x0oUym4aK3LATpsZrrDYq3LhJEhvLl57zCNqSoVLMm+7s8hePRlyeL7Nvt8PcWpcTFx22TA5z044lnjjW5KkTgiB02b9jhP1bPPZvbnJhbpXz1+C500XOXSxR1AJPS0qexXdAyrRqYG36sMYJhDGEiaAVCBpdQSOC0MQY2+WOPQ0+8PoG9x9K2DDi0emmOcxa06PZcWm2Nc2OphsI4gSEAEdLPCkoZUH53oMJUrf44pMjjBQ0xoJ0I973QI1nn3p84pkXa7+0e5sXnzzyyd87Nx3yju/4wN9egP/ir32Ed+2P+PSZ1e+5evXKv2s654Zu2lFmba3Kp77WZa3TJYojkC5ht8JkWVP0RA/YUoJU6VJpLFjSi66lwVEW30moeoJG4FBrDvMnj1X42tEuk8Nt3vdgnf1bunQ7LW7YYdkypQgihyRRJEZic3BLg6MTZhYsl+YFax3DZ54ocm15GBs6DPuKjaOabVOanZvghl0NjFzmI39RYnW1yl37NTfsqvPVowIRO0wMS0rFmHbkIq0EK1Hapd4VLKwKDtoiD97W5MnDBTaOudx1wwg/8LZlfvcLTZ47U6LVdVhZK7NjY4F9G9rcubfJu1/dZHZ1lc884bHS9piZc7h2zcVRAiklAoGxlsRAZCxJbBgejTh0sE0QROzfEvCeBwMmqoqRspdOMi0WaHVc2oFDu6NpdVVadu1KOoEgikgDSnbNrYV2V7LWqHLfAcvtuxdwnJAgcKk1R2g0JnjkcAPUV8fuvXX/v5uY2hz9zC/v/aOTR/8DB2/+yb99AD/67Ce46c53i1/9jY++l/Dib12bmynONxK+496IV91Q4PhFibYOra5FCqiMC4YrkkpJ47sS1xFICcoKpFRIkS7LSqbJj+MYPNdScC1lP2G4IGiFkmZY5NLVEv/6j0bAxIg45rZDbXZMhcQxGGuwNm3iSCGQSqAdlzOXXU6d9yn5mrIrGSsKxkclEyOajeOKbRsS9m1bIxEr/PtPV5i5PMRdex32b0/oxE2efsljqOAwWrUMlUOKhZQKGSOpdxWrLctKPaHeKnDfDWs8f6rN6cuKoYrPnQeH+OG3r/Af/wwOny/R6ljWmpqF1QpTY0UmhrtsG+3yf7y3TaVY59glOHMlTcyVsghhgDQCWAtxDNunEl51Y0wSOUSxh7VFuqHD/LJLJ3DodDWdMKUjnUDRCSTdQNAJBUGY1tvjJKVw1lgEkrWmYAafRltTKVWQwtLuaq4tuhy/AEuNLt/+6ibX5s8NJaL1W7/+CyvxwZt/8pP//ten7N/7O+/72wPwj3/iU3z1yJRaWv3Dd22qLPze3NyMf+ehZYYqLfZvGuOM56Edj00rilbXksQWqVJ+mYNbqzRypBwTIp225h3H4DoGz0k1IqFnCCJLGEEQmTTZigXdSBIkHlHic/p8iaOn02GJFNopN3YkuCrVfJQ9uGEDVApQLUmGy4rRIc3ECGydCtgwvkZkV/n3n65y4WKVW3cqdm6W7Npc4+snYhZWqty2QzJcMfhuB096WCWIE4mwljgJqbV8FlYcbt1f4Oa9TZ447DM5LCj6ZW7da/jJd63w7/7McOJambWWYa2pWKppxoZKDFcKDFeqVIoR46WIbbeGeE6Mo2OUSpAiTSYs6UMVRYrFJU0UK6JYEUaKIDvDUBKEkm4o0+sUiuwku5aWODa9HEUICCNDGElaHclyzUUqlyS2NLuW5dWYS/MJx2cldRMxXKgxdDUsLiy5v/ebv/375j1v2vzp/V/4RPLmt/6PB/n/cID/8q99ggtzWpXcmfecubDwUcKX/InhhK+86CIVfN+bWuzeuozvDTNX8Wh2FEGoSEx6IZUCJQ1CAJasuZGKjlxHEEWKwJF4riGKLGGcpFWReOBMIE4sSWJIDCnfNvTALQQoCVqC44CnBb4nKHqSUlFRLUqGq4KJkZhtU23KpTU+/WTIoy+NsLZc4dBWxbYNDnu2dEnEGl96rkjJ0YwPK8rFLi9dIJ2432JpB4qb9kQc2mWZn0tYqrl0ukXefEeTx491OHdNUSpIPLfCjTsNP/fhFR450eEvHhljpWHZNpFQq2uGKopqyaFcdCgVLL5n8FyDpxO0SqmWlOk9sJa0YWUEsZHEWaUliiVRLAkjkZ4xhKEgiCCMLVFkCCOTJazptbMmfXCEBCUEUqYU0pj0QWh2DPM1y/SqZXysxTvvbaOkw1cOlzlx/qJ/b0n/wdmL8ffdebDwqbNHfi/Ze8uHv7UBrnVNFrz4uyaLi79eX5n3j14c4/y1mLOzkvkGXF5c4c23tXjLnQFjQ1WW1wq0OnpdFzG9SSJLnrJSWO8mQRiJLDJBGMleBSHOXxNDkqTVhcRmlZLs7xUioz5SoHVaY/dcie9JSgVBpWgZKhsmRwLGh5vEdo1PPi753S+MMuH7HNoq2LrBYftGw7YNNT79tGV11Wf/lGK4AuVixMK0ZLHm4e6AIBKMVyVDQ3DukqXWMMwv++zZ7vPa25p87jGf0TJ4rouSQ9y4S/Ajb13EkYt89olhTl7zmWxETAzFVEuKckFRLEgKnsZzwXNAa5uCXIAUAyAnfbCTBOIkDRT5NYyStCMaRYYozvQocfo+StJVNTbp6mltqobM/pf9PdDswmJD0rERb75/hbfc1uXe/WWW1kpsHHI5f8XnsWdn/IW6+a1ElnW1JP4zaZz51gT4lTN/RhiZD//un774K0nlQuW2PRYhJvAdj9FSxOxKwsmz4zx3qs1Ka5kffMsco0MlGq0S9ZZLGKt+hSMRKbizCBT3IhADYE//LI4hSiBJ0kpCYmwasY3F5nVA0sgthECpjMfrFCC+B0XfUC7EDJVjxoc6jA2v8eTpkD94qMCZS0NsrzrsmoLNUy6bJ2Hf1gbtuMGzpyoUlMP4sGKoDEPlgOFqjOtqhEgfrk7gstqIWGtb6q2YxZrL1qkyd+9f5KHn2py5VqHoRTjKRYgquzYpPvT6ZW7ft8gfPFTm2eNDrLQ0E5WYoWJM0ZcUfIXnCDxH4jgCrSRKkZUPU5RbwNr0WiQZWNOHPw0EUZxSkfS9IU7oBYkou475f5dkZ2wEQSxYbQtWuxalW/zAW1f48XdEBN0Rjpwd5tqSx7VFwemZiAuLIbp0oXLt6oZ//2LzDvc/fOQzv/uTP/KObz2Ar6w2kUL+0ONPfPIXKnpp9PEjQxy/uMqb71zgvlvGOXLGw3cjfCfmwlKBj35xirOXV3jLXU3uO9hi71af1aZPJ3CIYkUcS5JEEicp6KNEEGdLbBznET0Df0L2YJBF7qzqkoM7bVJmkRu0ShsmrmPxXUPBjyn7McOVgA1jDRbqbX7tMw5fen6E1VqJ3eOCrROCTRMumycEOzZ20e4aH39Uc/FKib2TkuGypFpKkDLg2pLF0xIp0pUojDTbJho8R0Kjrag1LAurBfZu9nn3g3U+9VWX6QUPR0cI4WBsiSiW3LajxrbvbvClw20+9qURXpgusWlYMFZKKPkJvivwHIHrSByd5i0ypxHkXz19yIwlrbQkNgO67QE9TtKIHmfULv15IOpnP3cTSTNK9T6jI23eeFeNt92Vjs+trk4yPVfh6oLHzJzh6PkIp7jG9741oOwM8ejTq6Ovuqf2S+//zu9RP/K97d/2/OK3DsBbrRVc1/7AZ77w0C98/fETE5VCzL0HfD739ChPlJd57/0r7NkySWIdDBZLzJUVh4eeneLxE2Vu3rnK+x9s8qY7moxWPdpdj26YA11nQO7XsONEEvfepxQmjfYZ1zaCHivJkiQpQKm06uCoLFF1EwpeTLkQMDbUohN1+OpLlj/+epVnjw8x7DrcuMmyYUQyOeqycVyyeTJk56Yax6Y7fObxcapKM14VVEqCSjGi3k74wtM+Zdf2kuROoHn7qwI+/4yh3rbUW4bFmmbzRJl33tvi2dNNTp1zKXkxSooU5KZIN0y5/odeW2fvhkU+/kiDp04OcblWYKoiqPqWomvwtcF1QCuBkll5VaTfO9fXmYyq5StbGo379fP8jLKAEZm0nh5kZyuCTpDg+V3e8cAq732wwaHtkpJXYXZxmKuLJa4tulxZsFy4FjHf7PLuOwN2Tlb53OMe1UqDqPnSxNkzn/+FrTvfaOqN1d+pVr7xzaBvKMBXanWOnF3k8qL93ulzX//li6cfGt0y3OHyMty4vcVNO4d44kiF8aE6r7+pQa01TBA6xLHF2gQt4Vq9wleO+Dx7ssl9B2t852vavOnuJhNllyBwCWOHKNJEiSaOVXpmUT1J0iQqpzPGZpHb9EWTQtgsqUx1HFobXCfBcyMKXki50CGhw1cOS/7oa0Mcv1RFRB7bhy0bhixjQ4rxEZepMcnG8YitUw2uLDX5jb8oEQcFNm8WDJU1lRJUihHCCWl0SgyVba+eH8WSEU8Rm5hm5NJsJ9QaimtLBQ7uLPOj377GL/1nj5mlElpF2YOhiWOfbiiZGvW4bXeDQztbnJi5xh9/vcBDLwwxWy9Q8hRlF0qOxdXp8IKWaTtfiPXyUQNYkz50SZbvxCYdGolMCu7QCIIEOkn6GsQGE0UMe23e/cAa73uwwT0HLJ4qUm9VuTxXZnG1wMKqy+KqYHE15Nyc4YE767z6BpenjpWYqzXYsVny1LEG0wuPTrz5DfqX77n79tjaY7/fbW+hUPrGAf0bCvC1RocDOybfceL4c//x+JFHKsLUmRhSXJgtcm25y5YJQ+GcS71lqRQbjA1VWGs6dDqaMDIkiUHJhEJLs9gZ5vOHSzx2ssGdX63zk+9ucGBLl/EhhZKaKHIIYyeL6CnIjUnLcCklkWkylCWnKbhBCoNSFq0MWsd4boyjQhqdiKVGxL/9tM+lxWEOnxrCGpfRgmBizDJWFYxWFKNDDpOjkqnRmE3jbUaHanzpRcMLJ4c4tFkwXJaUi5JK0VAqhAgnwPN0r8xpLSSJpBNoOt2I2AiaHUOzZVltOMyvVLhnX4u7D67x8Yd9CqsKLaMUkFYTJy5hJOkEDmNDPrfvanH77hbPPTDLzJLkDx4aYnGtyNUVD1dJSo7AzWmYTBPPXiDPqQoZH7eCOIvkoRF0YwiNxaZlK6QKmBzucGhbi7/7ria374Oi69HulFioF6k1CtQaPqsNh1pTUGsmrDQMzSBiuGTpBgWuLFg2jINWPqttQTLX4Atf/OqoI9z/eOutd9WSuP2ZbyQmv2EA//iXzrBjy6T657/y8d22eaLyqr2znLkGkRFoKZAYPBcEgq8+73DH7oixasTCiqZUVHRDTZzEWAyCBE9LVrsutWCUrxyu8OSpDiW3zfe9uc7m0ZjtG9rcc2OCIzXlkkKgBrqSqVba2oHIjUVIixKGIDJYYpAxJy5Jnj+t+dyzZU5cLhPGRcpaMV6wjJQsw0Wb1sErmpGqZnRIMDUSs3G8w4bxGo8eD/jI5ybYMKQZr0ClpKiUBOViTMELePJs+t2cUgoqawVhLPG14pa9HZ55aSgVPnUS1hoOy2seC8vD/OhbF7i6vMIzR8ZxJCAiDBDHmjByCEJJq6MZLvsMVUrcvbfNA4fafPdrljh9xfD5Z32ePV3g7MUSsdAEgaITKaSQCCGuSzyznoA1xMZijcERCVU3wrURd93SYseGLltGYz7wpi6+41DwUtnDUq1Au+PRbHustTzWmg71lqLZhnYnZrku2L8z4PV3BnTqim4IblEQJwKpwHMjvna4w/bNj1aqhZndew79kLL2+USIO/7mAPzxF15k6+aC++cPP/X9u6cav9JRc8wtVXCE4eqiZqkesTVRdFqSThjjFS2lQir39ByL7wp8X1KM0i9ubOq9raWlqCUN16UZOyy1yvzKH49g45CJsS4Ht3YYrca857Udtk6ERJHI+LaEgchNxj+lNAgl+JOvFzh2oYTQmpnZItcWivgFRdUTDJUsFd9Q8aFcEFSLikpZMVzWjA7B2FDM5GiXTRMNErvGnzxeodMqsWezpVJUlIuScsFQ9mMcJ+RLz/gEbYkzATIDUxRLSgXFm+/s8NiLhlYgaXUSGm3NWlMzv1LkwI4y77m/weETRWZWyyhpgCjjyw5RogiitDnT6mrqLZdyoUipEHBgc5e79nW5slhnem4N7SQcvaj51NeLCKVScAu5/iZaA6Q1wChK2DYR877XdhitGPZttUyOCuLIIQiqhJHLyppLN0i7oO3Apdl2aLY1rY6iHQi6QdqPSIyl0RF0upaClzBSkcQ2YnIkYUfdpdYusmPS47EX60xsML8yPPq1dnlk5+8uzT8bjk/d9TcD4FevXeXq7MpeGV38Ndt4TC6sVKl3BVIm+I7hroMJQwWfh49bmlHMh+7vcGCb5uTFtAatdZr5e66iEIMxBoFNx8SUoaihGgs6iaST+ASJz0q7zCPHDIaEP382Roo4bbnbrFBLrptI0S2EQgiJVIo40kijcbSk7MGOcUvJMRQ9Q9GDoicoFSTlgqJS1FTLkuEKjFZjxocDNo43Sajxb//U54mXJtg1CsPFLHoXJeVCTLEQUip2KBSKeEqiZMbByTqxkUO3I+gECc1A0eoamh2TjsyVXK4uVLnvYMBPvneBf/MpzeU1DyEM1kaYxBLFDmEk6QYOrY6i3NGUfJdiwafoFfG9iHIh5LY9Ia4TcceemA++ro1WcdYEMghh15Nya7FGkhiJEArP1WAVnUCzvKpJYk0Ua8JYE0aaINR0Q02nq1PteTdVaIZhWn0xNk16j00X+PMnXX7gDS1u2lXky88P8eSpgA1VwdbxBCm7NNqSP/jkMzII+LU7bmo/Xm90j38jsPnfDfBHv/57bNkQFb7y1Pl3nTpzWuzfatGupbYgEY5lx4aEWsPnyaOS+bUW99+6xhtvjVmtDxNEKlWfSbI6dKq9NllSKGXasHA1+DGUMk4YJSlHjIqa2Ghi46UlwbwBkR29LqUALUTaqVTgFyy+tvgqwXPA0+C7loInKLiSYkFS9HUK8JJgqGwYqcSMDgVMjLTYOLHCRz5n+NhDk2wZUoyVDZWSolxUlIpQLKQ+hXMrhgtzHr6bym8zDJEYQTfU7JgyTI11aXRdOl2bRXHJWlNTLviUi0N88HWLXJyb57c+swktNRZDYhJiY4liTRAqOmGqHWn7kmJXU/AcCl46pue5Ma6T4OgEx0nQMl05pUzb+SI706aNSE+TaWaaeQ9CZR1QlZVm01Z/GKdd51S7ksuPUx6ft/Q9B8ZKkodfqLJrwxq37lzh2+4p89IlTSuMmBg1RJGmXevguyFXpp8TxobvCvShCx/7k092PvCd/32DzP/dAD87M+Gevlj/qWZt+adarUA+/Nwwm0cTbtgWolzDuXmH5XqC9Bp8/7fXuXk3eGqEy0tFOl1FHGdKQZGLpgReVtaTeXIUWTxte7XZxIq0bpu17vO2u81uUn6knbw0sdLSpONdKq0sOErgaJvWjbXA9yS+Kyl4ioKvKBck5aKlWkoYKseMVALGhttsnVzh2bMBH39kI8O+x2TZUCmKFNwFSck3lPyYcjHg2TNw9HSR3eM24739tnknUNyxz7Jna4fnjg/RDiydbkKrozOQOxT9AgV/iPe/epWjZxd55tQUWIUxSVrOiy1xZFNdSZgmrsWupeArfNfguQ6em+Bpg9YJjjZoZVDKpFuwyD7ARd4cgF7+klZYZK/BliR5m18Sx+nMahDKlCoFMgV3kvYeALSSFDzLhqrl0nKB3/6c4PY9bd58xyp7t/gs1wWnLrnEJn2g771R0gxiefXq8v91x6EFd2y48vNA+E0DeLPRkVHY/tlHvvaRf3ThzKxrkVxeMEwNxWyeipiZ14wWJDfvMIxVHXZMDdNqulxrurQ6KV8L43TJRoBSshexsSZTC6ZRN8rqsikHtVlpq1/PBRi4RwMA7zd0espDBY5OVww36/55rsL3FAVPUCwIygVLpZhQLcUMlQNGqx02jtd45kyHn/3oJJevDrFzzDBUhEpBUSooSj6U/ISCH+E6Xepdi5IKR1mk7H+wJKv2RLFLpRDRjg3tIN2fp91NaLYl9YKi2PTwvTLbpyJ+7vvr/MzvSZ4+NYlFYWxadYqTmDA2hJGiGyo6nqQQKHxX4rk2dbvVBsdJ6/1a2RTgKtW9pyDPyqcDlxErsuZY3k/IegtJ3kzLOsmRJIizyB2LHrilBNcRFP00gLmOpdbyOXnOoVVPGK0otkwKHBdmF0TWUzCcuapZmLvmPhqW/z8/8cM/4ERR9/90HP+v3c7/awO8UW+QJOHPf+zPvvIPNpVe8DtxkaFygY1jmnYAM3MuQrY4cSGg2SiyfUOBpeW0u2aBJMnGqsK0O5ZelBSAVgtAplUPZYljcAbay7mi0GRy0IHue5pQkrfhU2Dnslql0hUhp0OOlniuxHUUvpdaMhQ8S8k3lIsJlWJEtRwyUumwcXyNZ063+ZnfHePM5RG2jaQVlnJBUirKNHoXLEU/oehHREnIHz5cRiqFIy1K9MuExoqsKeXwoTfW+PILIc3Qo50BvNVRNFuKuqfxXQ/PqbBvS8y/+sEVfvp3BU8dn8wiqyFOMr1INrUT+Om0kucJfEfguWl+42rb69hqlQ6JpE0gi5CpNakQ9MqHwEDHM6ct9BpofZD3zzQApf+tkgLHkRQBR1nKRcvUMCil8T3N9o2W7ZtrPHlCsn1CMl4NqTUUq01JqRLy9PGX/Pdd/tI/dHa+XbRbrX/613XP+msDvLl2Bmvs3ab5TOHi8hDjVc2lJZdb94Ss1CVHZzR37/PYtLHFC2cUy2uWqbGU1+babmv7mgZs3l2UWbcxVcRpJUh0v6WcLp/p+7zENVAs6QFcChAy9Q+RA9Fb61x3InEcmeo3XIHvpZ4nRS+hVEjBXSmFDFU6jA/VefZ0m5/9nRFOzIyxeVgwWhqgJr6m5Kf6lYIfU/BSy+RrK8M4SmRqyBQ9eZKZJOkyv2HYEscRjcinE9h0drKb0OxKCm2F7zq4jo+jq+zfHPOvfmCJf/af4JmTE5kux2RCqSSL5IbAM/ihpOuqHgVzHHB0StFSnYpF5wAX2St5tzMDePZ/NovmufjNZM2g2OSyiHTkL07SByKVQUhcnV53303vhecIykXBxrGEbRvXePFCm6A7wp17Q+ZWBeeuuWybCLi65DJVMfzhZ44UXve6G+4WUv7XA/MbAfCvfu3LrDWc4h9+6o9dnXS4ulRiaiRh91TAtUWHzZMJC7WQdrvAB99Y48ULAdMLEmsNwxVNsaBwtVy3bEPKw5UEdB69c6FUKsfMI7YZUAReF7x7kTtXCUopeuBWMtOQ9+gJ+A54rqHgWwpeyp+LhYhKMWSo1GFsuM4L57r89G8P89LMOBuHFOMlQ7UgKPuSoq8oFgQFP3040lZ/yDOnBK2ui6+yVUSKnuQ3TzSjWFPyFffc0OTZExXaUUpTOkGSGhh5Cs9VuI6b8echDmwx/OIPL/JPfhOeOjVBZCSRMdmw9MAMpptKiF1H9rQpTvZwp2cqVcjb+FJmQaUXKQaAPgByO7B6JhnQewKsPILbfOWUONkq6mpBqWAZrSZs39gitGv8/peHefNNDjEJ8zXFlomEC/MOwz7s2GGZW21w+cwfuLv2/WDx4Ycfbr/hDW/4Hw/wZ4/NMDq2eejZJ//kNxqN+NUX52Cp3mFmWbNnymHfVsu11TaLKwVu2SFRuGwca3H8bIFqIe1UYsF4FseR/RufXWQycVAKaIE2tgdomwmm7DpgZ/rkLHSn3UqRATwFdwrwdJbT0Wkkcx1wHYPvZgIrL6GQ0YtyIaBa7jBcbnDkfMBP//YwR6cnmBrSjBcN1QKUfEGpoCgWFMVe9E7wvZhyscujR13W6j7Dw/02ef5pTU/yq5gYVbzu5haPPm/ohIJuaAZALvEdie9oHO2idQEpDQe2WH7hhxf5J79peerMBJHRRIlJNdyJ7UVyL5I9daGrJVpnIiwpUFr0aFs/VxG9z7luY4fselv6VVhj+yvwK9HFvgw51dgXPEu1ZBipRoxU2xyd7mISlyCSbBgzzK60OHd5hL3bLLs31xgqdhmtlkni4qs7zaP/6fVvfMePRe3za05x9/9YgJ+7NIt7dfmffOmJs9+1rbrAO+7xWKk7uFowORqRiBbPnXUZLReoli2lguGt97V57jS0Q0spNKn1mMouKOmYGJBxwexCqX6b3Q4kktcJAntHrrMQWbQc5N25YlArUn2GtjhOOljsuwbfTSj4MUU/ouQHlItdRqp1Dp8N+KnfHOPIxUkmhhwmignVos3AnUVvP60UFDyD78UUvZDYBDRDD6EkjurnAUL0I2FiUoFYFDmU3G4qFwh9hnOQdxParsq2RJE4WuPofANay43bLb/0Ywv84183PHV6kshogkQQJiaL4gI/ShtpriNwtclWL5muZtmKll4fkdEU0fucr7RzSZ+y9OmhGQg8vXuRAzwbWHEzGXIxWyG1Cvnck5pWF+oty8pqiQ1jMccuNFh+qcT5K2O42rLSsEwMz3Fg95Hv6tS2X0ji8J/9t+L1vwngjx++wKaNG7b97u/94aG5K8ssu4Kp0RpuoYAQhhMzEU8cKzNWLnDTTsXUaIDrdPjPDxWIIoE1No3MiV0nXxW9JZIBHih6FxHbbyvzlyWUObizv6svhU0jqNYWR6XAdrXtqQd9J8l4c0TBDxiutKmWmjxzKuaffmSMFy9OMl7VjBcSqr6lnIG74KvMPiEFd8FL8N2YSink1LTlkcMlXClxlMm+Wx8xeQUoShSx0Tx4W8TunS0uXC4wXoRumPoDdoOEdjeLwlqhtYOSNmsaWW7YBr/4I8v8s980PH5inG5UIEgkYWwpxill8RxSkOt89TIZRZHpaNvAKid6ABfrQH5dMO+96d2fgZCTr6BS2qzBlpd7bS+hdR34rjd2efSlhIVVyalLLof2VPnht9d49Hidays+YSJQfszdN0JtpcHRo88duufBD2yz9uSMEAe/8QC39ixQ3v74M4/9PwV57R0P3BSwuDrMl5+usto2WAMVT7BrUrFzk2TnpoRdmxssNdrMLExRyCKZyNAoMmSLXpWDvuJNvHyJvB7UDFz8/OHo1b1V/velYNAqjdpaW1zdn+H03BjfjfG9kKIfMFJtU2u2eew4/OIfTXHs/BhjGbiHCpZyQVDyRa9WnlZeTBq93RTgBS8gTBK6HR9fpWNwMgdM71pmZbdEEsc65fI6IAgtnUgMANzgugmuo3EciVYKJZ0ewBFw0w7BL/5YjV/+zzFPnR5ltl6hW5IMJZZybPEdi5edjs5LpDZLNhkAeJ+i5Ppxkb/mlZXeG9aXFOnnPSLLoywCaRigllnJMRFEkcPWccH4SIMz86OU/JDEOOzYNM5tO0JefTDCIlhreExfcXhiMeC+e+bfUT7xbNLlnn/4/EuXpu84tOMbC/ALF2eolPy7Llw4965HnzvHB95suO/mCmenS9SaijhJI8RQ2TI5GrJr8xorzVV+9ZMVGs0im8tpU0Vrekukltmp6JXw0uqHvS6a9yOgyMtZvYtqUwBlSrm0gfFK4DY42mQAT3rg9twM3CMtlmodfuEPi3zm6XGWW8OMVyXjfgZuP+XdxSyxLHiSomezCJ5yb98LgZCvHXGpRS6jHuv02Ij+zTbZzQ4jTcXTvPbWNs+cCWlGHtXIEISp65YbpA+kq1OApyuSg5AWsg7k/i2Sf/P3Gnz+mQ4//zuTXF0epjOkGXIF5dhQjMGLUnrm6tTQyMkTzQzcOZ3LqUW+6oiBgJLfAQYe1l7+JETvXliZ3l8pUwlzkvSnrrqhotH2GB8p8FPfvcKv/LHm8HSVRjdiYUVSLTm4jkOcQK1pOXM1ZsuGJkl7gfPnNr1rZMPQHyZRZ/obGsHbnRYFv7jn1Mkv//3Ll15kqV7iE4+1ecOty9x7sE6SFLA21Vt4bsRItclsrcsvf7LCoy+OsXlIMlQwFLx0uXW1TLmg7id9WoHSdgAQ60EuRJ/O5E2JPGoLabKbYjNgk5XB0pqvo00G8ATXSXCdGN+N8NyIcqGD1m0ePZrwn75Q4XNPTBCaChMVwZif0pK0BJjXyVV2iixyD0bvCK0Dnjw5RDvUbCja7IG7PoJniaZJ296+o7j7QIfYpADvRILuoCNVYNLkUIssiudlPZuVrQVjQ4Lvek2LsjfL73yhw2MnR5mPCrR9SSW2lLTF0ykfdjO6luYlNk3Cs8AgpVg3IJGDXA4Eml7g6d0fkd6vbBDZ6FTwJoRBINNgFkE3lLS7inrTw3ervOamGFjkX/1BwrOXyowUNUXHoGSqboyJuO+mNV53a8SGoSJPnTzKfeP7/v5r73/di51O+1yh8F+eAvovAtwEl/jEXzzK6HB148XpmQeeO9EiDKucOFfl1LTHZ5/psn2yzvte38ETcPqK5HNPFbk0X+XqbJGtI5LJiqVaTK3Wir7E89IGS9qESBsBWvf5surVZvMIvR7oOYXJa7gqv7g9gNueMaXWCY4yPS2G50S4ToTvhhSLXVy3zR89pPnXvz/BhaURHM9nqiwY8RIqnqXkQSmbsC94abfTzxpCqX4lyVaClJ4sNxJaoYurFG7eTMkbKGRVlDzRTNKGTxg7FJwuU0Md1tplOpEgiFKa4joGx0myMp/Kyp1qoAOZJ66p8vEd97e44+ASv/gHXT72pXFW4xJtz6HsSMraUsiAnsoVsrp4/jkVaGF7yea6698Dtl1HI3sl2YF+gzICo9NBk1STInslYCkUUrjZsLLgtl1NfvXvNJheqPP5p10uLzh42vL+N3TYPC7YtUHhyCLdQLBldI726pkHXjrqbQy7tXMvvHSZ2w9t/e8DeJIkvP/dt22/cPbsR77w5fPE0Ri7N6TDqKtNn9lrHhcvV3j6lElNZhJBt60oaMGWIUu10E/MSr7Ez3ztfFfguf2qRi+aqD7FyAGddwFFFrX6nDtNXGSPlpgM4GnE1sqk7Wmd4OgY10kpiecGeE6H6YWY3/p8iT97fJSLC8NUig4jPgx7CWXPZq33HNwyA7fsNYX8jHt7bvrgVEoBn35Sc26mgK9E1jHMoiF9lPdsHGzKw6NYs38bvO2OJv/pi6O0ippKZOlGFi9M84b0e6TRMK185CAf2HbbpqvC1jHJP/1Am0M7rvKbnxvh4nyVlbhAy9GUtKCkLb6yuMqmVCWrMqmB7mbeIJMD9KMXWAbALXvBpp9LaZXJKbTsuSKk9TGBtWqAnimqJZepapet4yG37UqIkgRrBWW/RBR7rKz61BoeUQyeLnLpwjl06aaPbNpy71u6nfp/kar8lQC3NgBczp15evP580d2Hdw6y+27q8wveyzVoNZIqLeSVO8bqNS/zrU4ZbLEJvUXyUVMvpdqJHwXPNem0Tsv2+nB6EtP6ZaDV/Yiie3xbZkNMOQgz0VEahDYKkHrGNcJ8TOfwWYS8mufdPmdz09xbWUIowqMVBUjrqXqGopZ5C722vcy06lk1CSrnffA7abdyyAKOXfVoxV6DHtpgqkGIlwvRxto9sSJJIo0lZJmx+YQ5XVphmU6rqAQWYIc4DrJGjUqrWPLXAL8SsmrYrza5kff0eZdD87zO59v8JE/GWWlU6KjfZpaUdSCgkqB7mTTPrrHxwdymew690DN4Iyn6N2HQc1PnKQPTGJM1qhLO9GJkURJOigeRIJ2V1JvaZbWfDwnwdFpXhHHktl5RaOjqDUktYZleS1hvuZiRA0qJ3cNVQub7779tulOJ6JQcP56AF9cWKZUKo3HpvjJz3zpnFNru7zvdXPcv6XMucsjzC471BqaZtvQDZNstnLASEenrlSuo3otcc8B102zep0nPcr2oncegfNIIq8DdP/nDNTS9F5TgJveOJpWCa6O8L0Q1wmpd0OePCb5o4cq/Mnjo3STMq7rMuoKhlxDybUUPUvR7YPb9zJKlVGTtDGUVSYygLtO2vm8NGd57IUiYeTglezLEswe7etx8FSWGkYKx9G87o4mH/9KizNXS3T8VMAUOBY3BicyOKFBKYmSIqMRsm/uw3U1diMpeprJoQ7/+P1tDmwN+NhDZZ4/VWWpU6KrXBxXU1ACX5ICXVoc2TdByulVCnTbr1T1AD4A7F5jx/aiuM7sPWKdetPEiSSMZDZyJ2g6Cs9RqeVcdo9N5tXSybdlacbMLSecn4uYmuzy7gcEUe2oUync9cm1tfrNnXZz6a8dwScmC3Lm4vm7Hv7qk1XPDZlQBf74Kwnvfm2NvdssBX+IpZpLvZXqgaPI9oRTqSuVSJfALJFMS1XZMKyTVTZUDnDTA3gvIucRXJgsgcnA3YvcBqnyByLtkiqVpMB2YjwvRKuIeiviieOCj36xwkOHq6zWy8iCT7mgGHIsFddQdCxF11JwyaJ2GrkLnkx3iXBFb+XxXJOB2+A5Kf9WOuDsVbhW99OHOhv2vb5xkncE0znITLhkJGGomawI9mzp8NLlmHbkEGQe326Y5imOSjKKkjdq0nb44NHTjGRlyChJ9eHve12HN91Z46svNvm9L1V4/lSFlWaRNenSdDWeErhS4ElwZR7RU6qiBsE+eMq+uVAO0LxxpPNEX1l0LAhjgRNZHG3oBrIndssrajIbBklMOlHUCSytdsxS3XB5xbBlU5P33K9YWC4RRR2OHv56tdnhrtGpPV/krzAP+qs5eHTFG6l0f71Ru1Raa0smh2DxYoX/358F/PSH1tixUeI5JSpFh3Y3tQCLk2xUrKfmMz1+nSvZenVYbfpJThZ9ZQ7yHj0xGT3J7cjWAzwV75sU2DKNpgU/QsuIpWbMo8c0X3iizGceq7LYKCF8H6fsUNFQddJJnoJDRjug4IrslJnkNOPdrsDLo3cOcB3jujG+G2JtxNcOe8zMFRgbETi9yo7oD/r2uB+ZOi+XoCo6gcO2ScHrbm3zZ0+HtCKHTiTwHYsbp1E8iHKpa5JycJHLHOQ6mpKe6fB1kp1xrCl4Ae97TYc33LHKnz/e5PNPFHn0WJnFepG2cGl7TtrOlyJtUok0oqdqSJEmoD2Fpu1F7XV/NhjFZR7kbFbVSqtmaQEg1cTIrE+QPpyZI26UyhUaHcuVFUFpuMvfeWcTwo3MXIsZGwo5c2muVNxgf30tmjsAdP6bAd5sWVph53uC1seGyv4aShaxMXQjWFhzCJMOU6OKJIGC52V+232v7bwF0PMfEbbnQ9KrcMhB8X1fo6yUWQ/oHs82vfcpNUlQMsnKfzGeH9ENEs5chek5yR8/XOWLz1dYrJUQjo+uOBSVpOxYytpQcCwFB3wnBbef5wyOyKo8/WpP+s9tBnLTA7nrpONpF2YNL13ywHFwZN+qoecsNdC5GmxzJ5mPS5ykds437gg4uLnF6WtFOr6gGAu8yBKorNqkTBa982pKXoLsc5VenT0rRRqT+8k4dEOHgh/y4Td3efs9a3z5hRaf+EqR6Vmf07NFwjWP2HPoaJXRIYkWAkemANci/W5aiCy6ZwlpLo0YBLmgp1rU65pvZDSrD25LZkBkIIotnQDWuoKra4JbJjpsGY1ZWgElXaxNOH+lQeP5k3j+X717xF8K8KDbEHEc/uSnvzwzhATPCXj8rOL0VUmxmOAUO1QqltFQ4nsR3dAhjHTPn8Ta/oxIzpn79MMMcO38Z5O1crPorHJgD4LdIEWSyWgTPC9Gq5g4TphftTz8dYfzV30efbbAbK3A+dkSeB6qpPG1oqQsJW0o6qzDp1PjeM8hA3F+yuxUGcCzpDkHt5PgOWn0dnWE74dcWoJT00Ucub48OJic5XrwnoYjr6T0xsEcDm7rsGeizfGLMe3YoRwJAg1ubAkisgguejxcSLkukvdoSs/UR/SS2ThRRIkiih2C0KFSCPnQGwPuv7HBtbUGX3/O5eIVjy8dLjK74pN0XBKlCV2FkOlEvhQCJbIHTIDTA31aYsxBrsX6hFUN0phe+TH1ZLci92exRIkgiCWtSLAaCla7ETYIKBY77K0uEZsSxy44uLLLpHNs7H3f8aN//yffN/9LGzZO2f8mgNdnP0UQGp49WufVN7fYs7nC/l2rvHimzexyhIlj/GKDKQzNtk8YuYSRQxgrkmS9bcNg/TRNEk3Gp6+L0MJkD4MZALTpJZBSpvza8WKixHDxiuD4JcXDzxY5Pu1x8qJPI/AIQh8cF1VJuWVRQVEbCjqdxfQ0eDrXaeSy2SwJzmiJ6ypcV2YPgO1zbydJO4tOgqvThpE1IQurksB6aWIt05ve09dcJz3IQZ5Y0acRWT1coBkfCZGqSytyaGuBF1vcqC8Y08qsa69LMZDF5mZHCKyR/UieO4AlithRxElqP9HuukwNR2ydCrl9Z0g77PDhiw2Ozzg8/IzPS5d8Ll72iRJN4mkSqYiEAimzh0tm2hPQQqJIqYsaAL3OE1DR5+yDD7whkw9bQRBDN4ZObAi7ISJoId0up6+ETM+3eOaET0EWqAddyrpe+tifP/1dBvVL/00R/NFHv8zC2ooa1o+JjcOG508pJqs+33Yo5J2vXuQTX4/45Y9V+MRXE950R8SrD3VQWlN2HUq+JE5076ZFcb8Wur5ZkwFapIbtaU03/VnJFERSGoQ0RFG6QamUhrNXFf/5YY9WJDl60uf8FY/llkuQeKBdUBpVUXhKUpCWorL4CjxtcFUGVpXLZUXa3RsEtyNxM1riueC5ZFWTtGXuaIPrxFlHNKLghyzWEh5+qky96TFcFehertAH+fVHaiQ/kBAaSRAoxkYVb7qny5ef73C5XqLjyJSmaHBiixPly31WY5dJWi5k0OtE9n6HsXrd70iSOAW6VjiOwsmoi+66eE5M0Ym4/8aIuw+GvPOBLmevSI6ecuiEio89XOTSvAtS0e5oklBjpMJIidWSUMosHxAgUi9GlelT8o5nbzXLPl8Sp0uOtQaTJLiFCKVCPBXylle1eMudLbZtCnjoyQp/+JVJpoZLfPtdit1bG1xb9Hlm+oT48NtvUo98/Yvxg695y399BA/N6K/9+aPlmyrFeeaWC3ijCpCYWPDi2QJfeGYMTzt8+omE0aEQm8TcurvL+1/bJgojolgwWoXbbogY8jLbDZvDPGu9i6ymIPriISEN9Q48dSTdYrrgw7OnfT77uE8QpyY6cwsORjhEVmNIR1WEp1BS4qusvisNngIvb2joXIuRt6tF+ur0DStTcKtsRlP0orfrGFw3F2glvejtuunN+PqLij97uoxyNZ5My22DEtm/LIIP2kGnFQ9Ft+vw9ld1+MyTDT72tSqt2KeU8XAn5+ERPbqXTwsJkT9JudGm7D1Evfq4MT26kugsmmtNFMdonRBFMVq5tFWMoxOG/Yh79iXcvTcGGfCdD7bpRqnR6Wcf93j+lIPvS5abmqPHXRptjVAC6H+WlDalqM5HmyF1yyr6hptvDJioRMRxutXKe17T4ebdMUksGRuCyeFU7ju7FGO/LhA2HXMsuUWutEJes79105apyq8BP/pfFcHPXWkxNFKsPPPIn+1brlkVdKrcuFNw054WjrvKL3/C5xOPjuEVS3ha0glgZt4SGcPFecMXn0qwJqUw5WrE3Ye6lL04tf/KMiA7qHsVmTA2uyBSCWotyfMveTTqCqkkgZUERmOFBKFBaZAKISVa5lk/eDIFtqvIunQpKNy8maFTc3udDzzofF4xjd6D4PacdFA2VR7mETwZOGM8HWFtyLVllzDw8aoSN5cb5LLRwS5mlnv3a9aDnueSxCjCyGG4rNgyFuKKLp3YoxMLCjqdYc01JEr1+wV9eavs/S6b0RWLwFjT9x/MH6isVh7HKpUAxAmx1miVllrDOEGFLjoru0qZsGks6eVB+7d2iWwHoS31uuD5lzT1tsg0MoNPdA7u/MkWmROCoOjBXTcmjFQtJtLEiUbgYm0RY1KXstW6xXVi3nV/m+XmAr/9mQ08d6ZAGBXYPBlT8KyK49a+17/+3RVrVxpCjP7VAF9ZWaa+VvulR144/5ognmf/jpg9W0KePWc5P6/51NcnGPFdqp5FC4Mg5VCxkYQmrbuGxidIYKVr+fxTabaTDi0YrE1SkOfpPgNgzy6MJRXs4OTRQPailBBpo0MLcEUKXlcaHJGWs9y8JClTQDsD4HZ6Ez3ZyFo2VZ+OdanMfEhkAv2+zDQHuqsNbtb2d5wIz4u4smz4gy+XQLvZgzbQ4FkHvkF+MmCZlpmEpvQhtZ8LI4cPvqnDnz/a4eRCmVbiUIxFv7Xe0+yAUDnF6+tF8mDRGxo28rpdHgSxMVkTJtvRWSlUnFak8pJtWo7Mq1UmWy36FS0hUjOaEd/w1ntMluNen+vZzGUsFWAZk5+K2KT+Ko01TWwUSZyuYnGiMElKbfNSc9Ev8YHXtHDlMhfmfF467RJh2DxliaNTr4mCmV9KkvjH/4sR/PjhL6CkcFfmlzl+vsjZi22Gq4LHXyriOg57RqDgpk6wees56bWdszJPLo80gjARhEYRGUHU+3chtmAGNkrqH5l6Lfsp10IoMgMfadP6rMjKT1mWnpfm8pJUT0ikBoCt6O3ikDca8k6rmw0gu05fRpBTk75xToyTRW9XR0gZMjMvWGr4CK3x8prxdRWUQe16b/Qrn1Yf6Grm/udh7DBaCdg21eH0fEAn0XQT8BKBk1icOOPhMf3kvKf2U+Qh0w5oX1K/xtzAPo3iRsvURCjpa13iRPXKt3KgO6wG3LDyQkHup9LzVRmUDWSrVA7uVGCW1eaz1SpJ+qtILwEesMQ2OYMVaWLtuVXeeEuAf3eXJ46nNnAlV7M8X+PzX/iqex2QXhngSXARg2Dv5ho3bXO4cHWc+ZWEe/clPSSmGgg7UMuF2NhU95vtiZOa9Iien0kaNVJgJ9n7nnHPwMzf4CEZbAlnpSZB/31ebxZ5U6Fff84rDr1OaqZ/dtaBO5PuujnQ05Jhys1NGrmzIYmcojg63ejJdSNiIj7/ZIGFpQJOVeEOajcGKyh9jPeD2kC92lzX9OkGqYPtW+9t8eSxLo3Yp601hdgQqryd3m+T54MeaZIu+ldP0PNo7EdzhTEGx6Sb6OpE4GhDogwqMf2Ocq7rkcmASVBe7VpvGDTIRnqD4AO+KjYTleUrVZxITJLqUnJAp1vQyOzsW1Pk7gn9AkUllYNYOH1ecO5qxPBwk1J5et3Y3CsC/Lc/+Rm049+3cPHpO7rhDHfdrBmujDO7rGl1dK8Vb0y+DUZ/V4AoSbe/iKIM4HH/NY3qtmc1kG6FITJH0wGDens9yLP2xYDQSmXa474QaADoAzs26EzAn0dtZ51lRB/g/SieV1bsdWeSVU/63Nt1IlwnZL5uOHy+ANpFZ/RED7SvB8thgwi3pNYXvUhu6NXD85p4FDncujtgdKhDvVakHSuKCpw4ncpRiU3PaBDgZBrsfojI3b56VtLGZqXJ9F46Or0XeWcx7llK5D0K2VdsCjtQ7Uq9VAZXp8HI3V+hZC+RNj3en5sHSfobYUnCWBBFA14rmSVFH295K9/S7hrmlmOmV7q8diJgxwZzxzu//fb7fuQDf/zE5p3vf2WA37OvjdbRt50Kg1suXwmplmDLVIei79LqpPZgYb5p0cCZ72oWZhsYpT9nr4lINzTqbYeRb2aUPSy2v8Fob4C1B++Bmc3eE2xfEeA9cK8bNBbrjH5SoMve8K2jJW7OufUguPMpmqSn5OvRFB2jdYQg4nOPezx5vIz0NK4Uqf92T0F4nbR0HQzWJ5r9KJ4t3UbR6Trcc0OHt93f5Lc+VyZMPFqJxE8sQUyfnokBmiJlD3z9X5WXDAc4uc1XT5kCRxmSDNw6i9yxEj2AK2GzxttA5B4YQhkMSH2LiXx3jUHrt6zhFItUVZiBOt3hLRWXhWG221tvp7wk2xDLZiZHqcKyHRhWGtDoSq4shBjMLYVn1LdFkfPEK0Zwm5wBWXlTfe6zHzjWXmG0MoYUHTaMNRkua1odJ93jPdS9PRVzX7ogFP2fQ0sQmd4WdDnY02guenu+rNvQyNp1tgMvv2zrPU8GLdlyQCmZ+k3rnskPvc2ldC+Krwd3aqcwELm1zerc/dlNpydVjQfOiJCIT3ytQmI9VK97OZhg5sml6FU21nHwbDdia3Kaku1MkeTJpkbg8L7XtvnDzwesmYhO4tNJBE5ML4pLaZGx6HV7BRKBWU+J8kg+aOKTc39lcbQkTtKqU5KND6pErus8y2RArizWjw6uX5lyJ6yBqo3pR+x4YLOwINu+MH2lh50gTM8ww1AQWoKsk9uNoBMJGl1JJ0x1Q+1GlctxC/dM8wM/9N1veuTwyekv33Zw+3qAd9oS37e7j51Wu85fTrjjIEyN1bi8GFIpWrZukLQ6BbqBT6vjpts+dx3agabTVbQDSacr6ISZEWNoCcIk+5Diuj0rc96em8UMmvr81dPzchDkcnCSZGC+UF0P8NzVSvYUbK4jBvxRBiiJzvXX2elkrqwD0dtzQg6fl5yb9bHKQUmJm5l7Dnbr5AABf9kQdXb2I10/kucVlSh22LUx4uDOFk+fLRApl04i8BU4SarSUyJXXQpknNOHNJK/HHziuuS2387PhxS0ESn1UYOKTtkz6uyDfNC4I6uU0Dfu7Nm8ZdvJ5BuERZmyMMqAnW82G2QuAkGY0MkGrlN/GGiHUA8Ea4GgEyaEYcjQcES5apmbKzBedTkw1GHTSLwrDM1uCV9+WQRfXKqhdYCv19i3fZ6Pf73AyhcrzNUURc9QLUQoIt561ypvuA0mRgrUW0XqLZ9mOzPT9DTtrqTtCDqBwNGaIEyna8LIoGODE+d8vb/hUc8SbF0Uf7knmxSvBPK+cEdlEt2+D2G+RWBqetOzbMvku05v4IKejLfXrczBrZOMqmTJpY6wRHzqa0VWVgoIT6fyUpGB+7pNn9axhXV18IE9Jwd03D0XV6MII83YiOC9r2ty+HyFIPFpJy6FJOXienDFiPsOtjnIc2Fu3vjBro+yJncNyz6LysCupEUm/QEUMTAjm4/KrSdc6/XoZmDzr9zDcBDcYS9ik86choZukNANDe1uCuxW19LoClY7gpWORegub7h9jW+7q40inQ4ruDBfa9DsSD751QIbVzqEnRW67b64sAfw4y98CscRnLnY5ZljG7myJAgjibCwVrNcCwT10PK1IxGvOrTG975xjTv3tBgqF1lrlKk1ffy2i+c4uFplFgVZxAzTCBrFIgO6JVIpH9dJn6qsd7AS1wfxbHr7lSJ4X5fRi+DZZLfWInOtTSO4mw0459NEacMnNwMaiNw9apJGb60TtEo3qjo5A598qEwgXZRUWfdyvVZ6XQfzernswALVA9tANcWYPk0hcXjvG7t89Ittjl0sECmHdpyuGE6S6zz6ir4UiCJ3lcl+v8kAuH7fItsLLBajBCpL5PqroR2oCPUnq/K8aPDL2HV1d5Ft4ZhH7/4ZRmTbrOcD1QmdwNAJUnC3uumOEEttxXLH4jutFG+v73LPAU2cVGh1fNpdhyBUbBuFMIbvfq3iwtx5/uPvLCAH5OEaYH5+nsnJyeKRJ/7dDhNexCY+W5cV7a7pEfpW29DoQK3tcuTkJC+eHeK2vat86PV1bt0ZsWGsjKNLPVsDJfPpb5kaykiFDFNhUCQNMk6jQyItcTbWlC9tuQCnF+6ybuDLQD4guexJMHtWCLJXNckBnk/vu3kDKJ8wzwGdadV71CQHuYozehKjnJBz1zTNMNO9SNmrnrysPc9AgvmKrfoB2mD68tbYDDZ+NCVHsG9Tl2PnQhLj0TEufiJw4wyEGVVJ1Zj9+UnII3n6Pn2q5LpVYzCaKyVQdiBpFyBVxu8za46eruRl0Xs99cnpSb5vaRq9M3BnUTsIE7qBodVNtUbNjqXWESw2FZEOuPemZb73dU1u2eUhxShX5kvUGh71lqbZkbS7gm5gaXcts0sx82shBw4M7/iln/mJ4k//bz/a3rBhKgX47Nwcyytrb5xb2/pPWq2z3Lw3ZveWtDRYa2hW6pq1pmWtmVBrxIwUDXNrLk8e28CXnyvzw29d5B+9Z4WpsQQpy1nC4/RmBmUmvBFCZqAUaRMhNsQKVJInJH3Hq/wmrOPgWehYB/BeBO/bwaVJpuxNvuSe4PlkkaPyedB0osjtTRnlvDsfVO43eNId2UJWm4b/8KdlVjo+wnN60y+DlZye0c8rRO51UTynK0b0pLP9CJ5WVOJYUylqfuLdTb56uMJK4BJKTUdKXClQMT0Ndp8fZzYOpHTF9rTipl/GQ/YeLmXBKIHOq1sDs5nS5Nc5/3tJtUPXf4/rk1dDD+BRnEbZKGIgicwidy9qp+CerUuUbvG/vXeWH3xTRKM1wsJKlfmVIstrLqt1wWo93Vt0tWFZayU0u4Zm1zJeFrzqpg3/ZGb63BPtdufPexF8afYwSnu06+c4d22ZIzOKHRti9m2BTZMecVRkZr7IwopmsaYo+hG+G1N0LTO1Mr/zJYlgnr/7zjqj1f6FSy9k9j67yJkbYb8iklhiYZG97bYHKikvp+HrwJNLRfs8XAxw8P521r3Oph7k3KbnUbielhgclVlNZAPLWsU4KsJ1Q/74aw4nLhRAOkgp8TJprBLXzS326Il4WbVhENw9UAyIr1KApNuGpPuBOty4q8077m/w0S/6GO3RkS6eFL0Obg7C3oD2oNE3aXUl/Z2mF3/tQJfRWjASlE3BbWQK9MFy7F/20K6rffc8xMkMRgfKyaHJAJ5G7m5gaAeWZtey1hHMNSVeoc3ff/dVPvwGw3JtgtmlKgsrBRZWNYursFSLWaolzCwZuiZGyZB920Lu2mBZWbG8dO4ikdQEQdCnKEMVB993WF7UPPmSy5mrRTaMBWzZELN9Q5e7D7S4bb/H1fkRLs0W8F0XrSRSRghhMKbI73xhitHqNf7Re9cIozwCyR6/ztvFtqcolBlgs+w89y20No1o2HXbAKbBu59I5UKm/oqQDQGoQbtkMr+VHOCpmlDn4NZ9S7c+RVnPu3OQ+15IrW747CNlluse+Fn1RGTNnd70//WeIRnIX4GAD+Yaff/t/o4KJtOmRLFmuKL49te0+cyTXVZaHpHSdJKcHuU8XAw0fAZPi8DQF0CQ6YLkQP9BYGT2OSSYnP5Ji5EgzeCqNPBtxPohjl5ymVXIohjirK6dVtQSwoyidEJLO7C0uoKVrmSpEfOP3z7P9705obY2zrWlIeaXfWaXHOaWDQvLEZcWEmZWEnZsbvGagyE7JiU7pwRTI5LDZyyLgaITapI4TgEeNl/CKQ1vn7v4/E/OyBqvu2WUW3cr5pZLXF40TF/p8uRLXW7d3+SNtyxx465hlKoATrbXeUQQG1pRkU8/OcI77ptj23ibMHJ67de0c5VvPZJH9BTkqYbBILMExxqBkXbdRNAAwrOGj1jPwXNwS/mKjrJaD5gLDQw692dETc/aTetBehL3IrjrhFyaFpyd8TF4CJlWT3odVHF9kinW89WeVvs600qbG+RkWyBmFCUfhDAmHU7AavZvC9m1ocvK6QImcdMonqRRPF9B+n4mNmvb50rNfNR5YAwfk66wKhNjqYyPyxTk+cpoXvbgXr/dyXqKknuG97YDjy1RkqT9kMwUNMwaNp0QGqFguWE5uHWF73hVQLc7xMJqhaVVj4UVzdyyYXYx5PQVi1/t8KG31bljj6agyjRbRU5f1DzyvGBxNaEZLfHg6MGffM0DDx557Pmz0/r8NUW5ZKeOnpNv+uyzi+zdYnndXTGdbpmZ2QKnpoucvuzy2Uc8pq+t8ePfscLuLZIoLmdbyRk6YcJUF6YXKvzJYzX+4bvblAoFuqGDG6ZCpnTP87Rdb9SAToE08UkyXYMRFjlQLlwXLLLoke/eMBjB+xRlQJfSOzM/vjxyXwdupwfuNGKnDqz5hH7a2FEq5vNPlzi3VADXQWT0xHmlJVy8cnL5SjSlt9PwoChpQHzVk9GGmp1jIW+9p81zJ4tgXOIk4+JJ9p2TvIva7zRKIRCxHWgzXR/Js2iusoRXZQ+cAplF5HWlT15Ouwb17f2Weg7wzDIiziQdOcCjlJcHsWAtkCSyw3c+UGfzmMtKvUyt4bFS1yzVYHEl4sKcQRQ6/NDbV7l5R4GLV8Z4btrlzEzCpYWYTtTm9r1d9k0FHNpxx5vGS52pogindZIorJV0uw6Xr/gpjzkTMjXe5LY9TR4YHWK06lP24MjZYX73Syv8+LfX2DLp0Gz7NNuaRtswXDAsNFxeOFWmHS5S9EPqLT/zpTZpLVplmbrOEhsDNvcGF5AIEFkUtwMVlP5qmLrR9o10csuBgVr4ALBVLp1VL4/cOdh1BvRBFyytss6lSqN3oRDy9BnJn3+9RKfrQVGn0tg8uVsnfBqYWhnUorwSB19XTenvh5OPsg3KaKPIoVrWvPPBLl98ss2zZzxs2aVrnD7AMwGaMCLtPJLLHUTmY7ge5OlqYntT+FbS82Y3gDLZCmmzZHOQdg1QFK6jKDnAk8T2z2zzsPzn2ECYQDcWNANLxe9w5/4YJavUmx6NlmatKVltxFxdNjRMyI992yq37Chy7OwER85Kjk8HaK/FA7eHbBxxKfkFTOxQcBywAoVEj1fbuK7i0M4mP/BtTZbrQ1xd9Dl3JeGJYx3e+/o17jiYYEyJZhdOXipzdrbGgU0t5pZdVuoq3TjVtZRcOD1X4PkzigcPRQPa4gFTzHwAVfQ5n7SAFYMCuJcrHwdMHwe3J+mXCLMW8zp6klnC9cwm7YAPS+7L0i8H5j/npkFp5SQgimK++FSRk5eL6fSQVHi5PHcdLVjf5BlgJuu5a87ByXMN1lVRbK9k2O9qJlnj58DWmDff2+LodIEgcoiFoiNUD+QyoV/WExaRDD5ofbD3InkGaDADRYF0RbQSpBUpwK+r76+TxvaqQesHnnvCPDvgC59JNJLEYjJZdTe2vPrmNjumBO2uRydQtLqKVsdSb8bMr1l272xzaKvmwpVRjp2XPH8uYOvWFh94bcS1+WHOXVZcXbKcXwj5YEVQGE2oNQz6Dz/+BaTSBJ01ZmYLoLsc3J6wY1ORF0+X+dTXNO96sMmh3ZrVhsu1YwUef6nF3o0dhsoVCp6bqfJSf5GLCy7Pn3Z5/S1Jz89kcMkUMvMET+cYkCYFOzJNLvPNqa4H+ODggFwH8D6oZc+Lww7wb7sO6PnPOUXRGR1Jo3jfOEirGK0iPDfk+Izgy08WaXdcKDkokUbv3AVqvbXc9TTl5VWUXItibT4MYAeW+Ou5uCIxCUmi0kn4SsibXxXwmUe7HL2YzqGGRtIxqVY8Dx7558nVmEIISOhzcpGOjVkre0+cum51UYP6lXx1eCX6Ndid7YE7B7PtlX+v71YnNpVPx8Zy276ALRNwZV5nG8wKOoFlrWUROuT+QwGurHJmxuX4pZAd25u8937B0dPjPH82oVxqctM+ww17XOLa87zw1BniJEa+cH6ZJ08ucmmxzt4tCZNlj8deLHF1uc39t7Y5uMnn4WdcyuU1tm8QbBxSPHPcY3reUCnGWfMkd1nKbvKgnVgPoba3ouVnXyE4EJUHwXt96S9/r/vOTjkVUesAfT24LWrQRUun0ypOj5YMUpOkF70dJyK2CZ97wuOx4wXw01E5V4qsNf+Xdy8HI916Men6t+t04QNakUEu3jfwUQRdhwdujHnrfW20CiAOSExCx0A3GzKJ1g2dZLqfXK7c48VkVMEM/JldRyviQVphcpFcP4nMy7rJOl1L2hkdHGSx2Rf9y0R06ylbNnWUQBRZ6h3YujHkvhsM88tFZuYMjbDD2++MOTs9xCMvxWyY6vLqQ4qV1RLnr1hcMcOwd4KqcwZZcCxFx1JwLAurcGkh5pbdCau1IqevxNxzY0hBFzhyAbZv7DJUUvieg+OmETCPTsakF3TDaMyBbenkdl726lUIehWUgfr29Z2/HsfOa9yiXy1RfT+OdeDu6cDtAAe3686eu9I6vm16P+sB/p1SlNRm+di05JNfKwNuWvsWqXLQyWmXGGiTD1AR0csaXmHgYeDh7zdeGFAWpjy8byshejLaONZYo3nfazvcsqMLcQRJRJRYOkYQJKI3TRX3hk2yakbGfXNwJ8ngsEpf22/W8WWTDivnCtBkgGPnJWDDK2iJBkJ7hubrrZbzFVdLwelpl/kVgdamt+Jb0t/XjQTNjs9aU3FhznBod0i7U+WpE4bd20Imyz7Hzit2bKozNSroxkW6SYFuUkBKEqRIENaAEJQ8h3YXNk5YLs/7WNVh64RmacWACCkV0ta3RWYbmqZloDCBVgB7N3V49aGIIHSJYtUbR8qL/7m4Z3Ajoz7YB3n2evveQWCvO9V1fHsQ3HI9yLUeAHVGUVSPosR9iiLT1nyUxDzyrMdL5wupMkvq1H5MDJhTDlYY5Po8QaxDt1gH7nVRi4HolS/liUjlsz2NeMrFY6MJQocbdyU8cFebgg4hibAmpmugm6TJW5yQRfJ+uzwZAHacDALdZnXrPsj74M5phnk55bgO2C87sqiVl0x7Fm8DO3t4ylJwJI8eK3FhDopelBUmyKzd0rwhiSWtjkCqgA2jlivzDogWOyck15YtxYKk1fYRxEgRY22CtQlyx5TLwa0ujvaodwTVcsTimma1mbBpFC7PKyZHE5464XJhNq2EdLsx7bai3dXp9tOBod4RRCLm5j0tCo5Ls+MRRA5hJLNaeHqhE5PdvIEG0PVcO4/c+VaA6zyo8/qsorcXTwrkgcme3CJOD0btAcBrk9nHZeDWfQ6uVYxS6cTOzKLg975YJohc0A5CpmNp+WhaXxr78g7mf6lNP7iMvZLble3NML58GCKMHRyt+N43d9g62YU4BBORJCaN4tksbJykDZfIDIwMDoLbrAd2ch0lMb1ksJ8o2lxOYSzWXr/FIy/bbU2KfpWr12HO5mNdndrhVX3oBAVePKeQskOlFFHyDQU/NUCt+JZSISZOYM+mgPtv6DK3ClunFLPLkuFKyGQ1ot5OqBYSktjl/OUKV+dLyLvuec/k0NhN/7zWCtg01WTrVEDBS+gGqWvReDliqByxf2tMpWBZbli2T4WUfcVSTVNvxqw1DXN12L2lzvsf6JAkZeotn3ZXZ0MSIgN6H+TJdUvaKx2DZbbBSJnv7bjOx1rmVgr2ZRG874do0NJkf55kPDzJhmz7iaXWMaFN+PTXChw5n3NvByX6wqrB0TTxChy8tywPxu503e0nZQxeg4G2uRl4zZPNRA4knYqg43Drnph3v7ZFQYaQhFgTExjoJILQQGj60Ts2/TMfNulF8IE/SwaidJKBObH0KiBpp/nloO4x7OvumZB9cOe6/HxM0HcERdcyVkhQ+Hz8kSHOzwWMD7cYrkQMlQRjFUW3I5lZtIwMJTTaitOXXVZbhsWGhzCWgiNohZZLC5bLyyFahjx4723//MMf+O5Jdfdr37TJJAu/smPsnN40VsJGxcyZNGS0Yil6Me3AoVI0VAoeL5xNuO/mLptGKpy65DI9F3F+AcYmmvyL719gz4YiC6tDrLV8Gm2XVlfRDdIJoFTo3ueFPeWgSUPa4CaiwMsjt1hPC3Rmlt8bNu5RkYGSYOZgm28h2JfBrpfEOjrqnb4bcGEWfu53h5lbLYLjg3TxlKCkMi9tDW5vej+bsBkYkesPW8gBXUwuJ1ifP2jZf1h7D6wa9D7PB5nz4ev0zx2VMD4c8fALLktrGqTECoWVMl1h8muYN8cGc4IBGiVEP18gn0AaoIu9e3JdMnE9pcx/w7oubv7++u5u7+9Nu6JaCS6v+JyYibl9T5uJIU0n9AhCxZUFiEzMgW1w5HyBTiyxaDqhRCHQnmV1zafecJlfUcwsBOzfWdxR9lr/Se8YN6zVFMdeqtJoO7QDw3zd0k0Ub7pFsNoo4HuWzZPw1DFNwV9j55TH9GyBS9cizs9ZysNt/sUPznNoq8/88ggra0XqbYdmR9PpSoJAEGSznD0uaFhXHlsf5HLzmPVRsbd1Sc5/Vf5+0Ll2kJ9nEX3AnrlnkJ8llUolKD1YGoxJZMznnihz6lwhlR+Kl8tiB+lJXjlat5fNABZeiar0+XeqErHXLfX9CkpWD7frqylJoghDhwO7urz9vhYXPu4RGg1GEyWSrki9Y5TJPmMyUGIVFmnWa3sEliSrnScCMBmos+CTVhbTUTQrwWauCv2u5nW7JNtUzyLIAlIi+zbYeQe65+di0qtgJUfOjfHTH13h5z5cY/dmTSeosFjzmL7q0bmxxZ37PZ4+Zdg8ljBZNYSh4FUH2oRRxHLNp931mF+WzC26hImDtiak1Y04PReze0uLd98R0OgUiRPNzJzH2asJOzdaFlcKXFmJuO8mzcpqhWdPJBybiXGKTX7mw0vsnSoxPTvMyppPveXQ7qRjbEE2RBrF/RJTn7etj9rrAHH9Mj8IdNHvHq6LegNRUA/QFZX7kKvcFiHj25mZp5IxSqWn64ZcmpP82qfLdKUGlSeXqdFQXh58mXvsK1KVV1YSvhLQe4KnnkY872aa9RJalYNcEyUOvon4O+9s8aePlLgwp0FqrNAERqeur8mAMK03VykQycvLtgwMSwiyzjJghECYPOradPdCK7B5nmHzDnP/3uWD4r0qkRQok818aoGObd/CQwlcnZos+Y7m3OVxfvb3a/zc9y9yaHcMDPHMiTJPHo2598YWE9eKKMewdbLFsQsVfv3PK4TG0Am6fNudTfZsk3hli3QkeuOEoOgI3nSLohWM8sgL0OqmGgGsZNemFbZNwmPHfW7eI3BsmceOGubqHd503xoPHkqYqo5xdqbMasOl0dK0A0k3gCASxDG9rDzNvPMnfyBqDwBY5pH7+n+WJy2DkzODSee6Hdb6lsxKmr4PeQ7w3LUpA3reknd0RDMw/NZnK1xb9FJwCwcpZArugYepB+6BSk+/w9c3wrw+hg+WSG3Ox/NInj3wZh19y2riicRIOZBsJlnZ0GHzRJcffkeDX/w9h3qUrjhxIukKmT6Qie1Xo5L1DSk5GMUFGJEB24IwNgN33+IYJf7ynImszJvdp+tXr/5AhCJxbDqE7KabeRVDQ9FPKPmWakEwuzTCv/h9lwdvanLvgRjXGeL5U8McPd9k39Yuj53wqK1VuGG7y64NMWGkaXUdFpbKnDgfsveAYnRcoB85ollehsVrDQ7saBNbj3bi0E0kSWQRq5qpYctd+7tcuFLmhStdNm/u8D1vC5iqFlhZq3D0rEujrbIJi3QcKY3YppeBD0ZrBkA82JkUWfdH2uwKD1yedfXydZu9DvDTQaCr68/10VsNdC5VDnAv4mOf9/jIpyoExl1XGuwJq9aZ7qy3A+4bFa2PjC+L4tc1QV6uSxmwk+jVxWV6Dk77SEWsNL7W/Oh7Wpyd8fidv3BBhSAUoXHoDFCVnFYJk1erBoeI0yhvsve9V5M9AJkWJbdTWwfy3n0ZEJ69wnTT+lUrlwaT+sDEhijUdCPDWDdhw7BhoV7l018r8vixNq+9ucZtB3yuzPs8d7rLVEWyZ4ti16YaMwsgtKJtNXHXcseBBq+6s8XQUBE9NgQOgorQ7NroMDmsaXVSWmGNpVIKSKzD82cq7NjYYvsmxdRwkdXlEU6fS//dTmAJooQotr2svA9ou96ZCLEu6kkpsNJirexZLaT/rXj5BbyuapFz4HVG61lypmV/zx+l1kfx/s9pzVup1Ap5dc3yp18tUgvTsiDSQQi5bqi47661PooPLtHruph/BRG3r3jT7XUVlOvORGKkIpGGxChMooljTdWNedfrW/zZEwVWmiqlKkYRCkUgQJu8hd+nKtdXgZKB65y/NwKk7buYyd7DKQZvT/+eqD596xcErpcxrJfbrvNNTCRhrAgj2BFYWh3N4prH08diLo2FDJW63LxLcm1Jc3kxYXHNY3HVI4yh3hF0gggRS3bsgMiCrvgQtSXnl3wuL0jqLdg8nrBhNGG4EtAJStRbcGhHFyng+HnJp684RAkkJkbY1ABTipTjyuvAONh+V9nUiVLZxc73ZsxMZhiILnZgLV+f+fejTv/i5dsI5pbCtr851cDOa72NqnrGklkElzFOMeJzX/d49qUiRjgD3Fv0Opd6XfReT5deVpX4L9XBM+7aSy4H+KrJHb9eiYdnpxqM4tJBm4S7bwh5251t/uDzHugopSoiTTgdM5gYZ2rDgSieXBfFpRBYYTEiG364rqRrXwncA4pGld3bwf03B/dA7VM9O/AAZBv7ZlveaG2yyX9DYhLOXZMcv+Ry6rLg/psW6dqIx44MU/Yt2ydhy3hAoy1Za1Zoh0W8jo8ueIJqybJ/W8zocEKtE7NUcwkTTa1Z4MKsjzUht+yJUDKhUoqZGIsoVyxFP8Z3Qh5+zmdxzaMTOPhKMlRMd9R1c/PLXB8i+3vVawna2p5cNh2QTR1kpc2Vdtctg1wfydfvz6jEAD0Z2PG4f+bUJI3aeUve90LOXxH83ufLzDfdtAMhdKb5TpPLnhy1l2DadcBe52C17nW96fu6iD3AyfNdgddVU3pT7zKrS6e7COdacSVTewlpUg+VyVLMh9/W4omXfC4sShAKKySBcHCSvoFpr5Jh8twhs4awliRTDybW9pSEPe9Ia3sjiIM35vqAlgO7L1UekExok6k712+x7jkJ1VLaYGsHCSuNhC8/5yG1Q9mzjJdDml2HdljF0Zp6C7ZOabaOQaubsNYKuXgtotb2KDiCyY2WQtGiC15IR4WcuxqzerbKvs0GX1uGyyELdcnNexrU6gpkwtmrHo22z227YPNkwtRoh5GhiDv3tlhtr/H5ZzTTCx6npis40mG0CGXH9I3ktcVNUvwYnScd/auVX+w0YljsdTEwpwG92cPr6sO9HdjWlQbzaJE1eQYGGZRMBVVhkvCbnyjz2OFiyrtVqjvRIo/e6wd715te9jm4EBZkvsMBvddX4ib9SZg0kud9gHXWZ9b2qYnMXm3fgjgxCpkYEqmJpSGKHF59a8CPvq/Oz/yGQxApEAojJB2h0n1zTPo9Ept6RMbZ5zdJSkeMyMuFkPS04DYtDeYKyOtzI1gfaHq76uV+Myaz6Eh6O2V42fbnvhcxVOri6A6nriRcXNT/b3v/HS5Zdlb345+994mV6+bbt3Oc7gk9OQeN4khISCCBAGMZiWAQYBOMAGMTbMsGY5OMwIBRJAlljdJoZhQm59gz3dM5p5sqV538+2OfU3XunZGIQoLvr56nnnunp/uGqnXes/b7rnctvvBQieWOy4mTFrWSyVTVYMOkYP1MxLa5iKOnezy4p0oUCmrFHifOKcZKJuMlm6svCDi3PCCIBR3fwLBNRcGR1CoStxAS4/HcMYuKazFWEVTcCCUCTs07bFoTcq7R5LEXCrxwzGHrWoc1E1XmJgdsmelyxeYuvWCJLz3Z4CP3VXjhZJWyZVG3E0pWjGsx6qYMnWpH1U/Fenk2yZZOsp2HYQXMTw9zHoW5nveKnE2ZDEFtrOh3p/REhlh2wF1PGHzq3iKeb4GrqcnK6p3rfeeq94vbhGLlWeNvoCl5kK+wcEh5+GpVoRp+1DRFplU8ihRKKgJhUCiGvPGmPnfd3+eux0wwA4g1VekLkTpXrfwdorSgyHhUiWOpz2AZRVnJv1mxbrW6fTty9k2deS0NasfUwWGurZOhi+6Aotvl4Gmfj95X4O7Hxxh4LjI0GC8JLl6nmJ0w2LYuoVTs8txRn/NLNtNjFgvthAOnJfVSgUu2xFRKAw6cUpxdhFY3xq2B44Ex8CN6g4jFZkSzZ7Fh0uCyLTFd3+PIaZNOVzE9BiU3ZP8xh2suVCSiw+33hpxZdNm21uTcconZCZe5iSKTYx2+/xUt3nLLef7g9hYf/MI0Z4IiY66kGifEVnrsTMTQ306muvAoTg80jKq3yFeK3Gk9bxs8THDLpLGrDpR5Li7lqHNiWT7NXsLnHnDZf87RDpzSBGFgClLNd2rPnHHL9I1UYiU9eSk/lL/NY3XbcERPsucI3CMeHiNjiYpV+nlCFCmkNPA9k61THq+9vssj+2xavh6zJlLhxwov1l0VI869fvHKu1EkE/39MqCvVgrm7q6rZwBZVyvT3OuEjBjHCnHskIITUHA9KsUeSrV53x2K//PpaQZehappMFNOWDMrmB4zWDul2L7eY3J8iU/cb3DwWJlrL4SjC1B0BHEUUyv3OLWkOHSqwEQV5iZClJK4boLtJBiWoZNwZ8ZM1kwOsKwBe466OIbNTF2SELL3JFy6WTI72eTuR8d4xVWSwdUtPnN/guc7eL6ZPgv0PMX0mMH0mMHPf/cyIj7DB74wy+KgtEKjIVM/PRWRGgBpZ6WXmm6+5O0wa9PlDprD3Jpc+nGW1pYdMLPBjmUGJIR86PMOf/KpCgnZUCezgyDd2skqeO57yZWcU4iX4OKrKvvqUr6yNThaV8s6SKMqnuQqu7Y91uBONLgjiRxycYMg1Bfvj7yxx6EzJn/yaYMg0l2VGMkgFvqulO5vRiKdLOeXJOIRPRldcAmJHMmdVx2PVsgqRjQlR02sSIPb8agUuphGm/d/UfHfPjwLUYWNVZipxkzXFdNjJnPTkh3r+0xNnOfTD0gOHh3nlVck7D/Th8hmx4Y+ZxZsGq0Sc2MR9syA549Bz1N4Htg1QdEXGAvNhKWlmEOnIsLYZcsai8u3hgRxnzMLBjvWDXCdIs8dN9i1IeFcu88jz5V59TUxltXgk/cIjDPZ+2cCtj4yJoLpMfhP37+EH57lvZ+fY0m6unoMw0G1R6GhRqY/2TBgeBdcXb1zcYQrOHiOa2cZnCvVgtnHVOtt+Rw+J/j0V4t0uxYUNLhJFYO2TLUskmEkYFa5Xypg6qX6vSs/H/1XsgoeSW5BIBmCWgx9wzMrCZk+81VcxgoZx8hIEYkYKUwCP6ZUinjjzX3ueKDAobO6d5cgCSKLnkilx1H2OyVDy7bRylmSUhOtKtTgTlXeiXhRH5xcwcnOQMbQrVdzbscKKLoDCsUOH/yC5Fc+OIdplNlQT5gpJ0zWJFNjJnNTiq1zA8bqi3z4HsHDT03y2isV42Mt/GOKXetDDp+2Ob0k2LE2YP/JgCh0majCljmfVl8wVY8YqwTIRLko06VeMdkwG+IWujy4V7HYKDBZkSw1HWwTts61SGKLnRsGHD7tc+B4iTddZ3DLlU1ONmLOL2tDlqWmYqll0Wg5LLVKJEmZt72qz9apZXp+SCt1FQ0yjXJeOD+c6qXqtFzrYVi9U588kWsxqdUtwiw1WcYrBjpGOo43jBA/iLnrEYcvP1PQsQ7SShWDAltoSawhcp2ZnHJx1CbMG4IKJOlQJBtarW6drKYnq9qDw05FPpUhFzW48pnZSmgOnpfThrGB1ze59RKfl1/dw7YCndeXBMRJhBeBl27+ZEkbUZyFE6zUeWefv5QkdliAYGUbd9hJyZwLdHCAY/u4Tp+j8wHvv3McEZeYLSaMF2JqJUG9YjBRU8yMh8xONrnrSZ/P3jPGBXMGG+d8XjgRorA5cDoiCBImygYLDYepisM1uwZ0fZ9j52C5DYZh4ro28khzXfNUs3yHUjYnz0vOnC+yeQ00+wGtXoJthVhSULKh3VXs2pSA9Dl8WjC/XOU1l/tgepxvxjTaIY1OQrOjaHUt2l2b5XaR7Wst/tM7FrGNHt0gXa3KNMlZtcgGQ7l3ffULt3rAs1ppp2S8amI5GtcrGaX8O8SwAx7YY/IbH6gSJdaQmmQHS1slK+zYZI57r6Anq4ZPQ4H/qp2e1Rhfscr3IvCsrNzZwCfbisobyg9BnrrRhrEOcIoinX0pMPiFt7W59qIe0tebP8QhUZIwiCFIdCBVkBn15AIJ4uHC8Mpdy3jV3XV4RxL5IpQ75BsjgNuWTxQPePf7yuw5VqNeEtSchLIrKBcV1ZLBWCVheqxPEHe464kCUxWTTbOCWATsOWxQdiUtz8ELTfpBrLXjRY9Dpw3mxiWz4+DaRS67wLjjFa8sNeXY4C/Obyg9/u41UwovioniPkoEnJkXJChOLmoq0ewk+L6k1bNZ6iU0OjHnFm02z1hM1fssdASdnjbp7PYF3YFOKegPLLzA4caLImbrHfwwop8CPB+Hkn+T8/f3lbw7Scf0+TZhLhZ82EmJh0OcF43jVcCpRfiT20scO+uk4/jsYClwZJIa+qQpvbmLSOWrtxArFYTipWhLrgEucr/UCg2K/jxm1EXJJzFkGUYvcr0a+qYIbdaZumANn7FOMt4wk/Bv39Bh7cQAYh9inySO8GMYxGKoGY+GY3PxopW0OO86NnyPkpfk4yvPR3FaybVbgW3p0Nx7n61gKIuKlVCwoeAIio6iVBBUihG18oBzTZ8jp4rM1gS1MtTKHiVXJ+LVyiFhlLBmwkMSsG7CJ0gMMGNMc8BSx+Z3//z4u3/8XfeclzEeiRjghyGmMJiuSyYrHmvGJGESceR0ET9OuOdZk4KjuXIQxNrV05P0+i7ffn2bbgg9L6HvRQw8GPiSga83wQe+tlV+841t4jDES802s2XVZFVVE1nlE6MXbdg9GU7McvRE5oGdr+KjFTTNvX0SO+CDnynwya+WSBwtpiI1sbel1njr+OmsI7OyezLsoMiVB6sV1XwlNc1dry9GxAofxiQP8tVGQCtTkUe2M3fuWgAAZXpJREFUEmrFhDNKnbB02rRB0Ld4480eb3t9G2tYxX2iOKYfgZcGg2VBYVG+WueXinP0ZLhYvCoiLz/kGh04M6oY4ZgBn7zfpuO7FE1BwUxwzATbFDi2xLWh4Girjs88aFKyDFxb4FjgmCGmjOkPJLde0sE2fDbPKISKObVYYLEVMb8oiUILy/BJ6CLoIeNQEYUKEkm1FHO+KTi14HLzZX06vYBtaxRSeTQ7BcbKuqcp0tN0FEGSKC5YHxPGcSqy0s5FQaj3Af1QEoYGlmGwc11AEoY6aW1V/3f4Lmdj7lzlXkFNshdNjYT/K5WEI2qie+Aho02dgK8+YfH+L5TwIivl3dZwFc1RydBrMAP1UHuS2wOV+dagfClhf46Dfw0aPuLeo0PbMHFuFcDy1TvKAB+Ncm+GDlhp9Q4zkIcmYWRgSsW/ua3HzVd0EZGfVvKAIE70eltKU4aOVLniE6ctywzU8YpO10ijstqnSZAtYecmykbA3uMmvm/ipGtrpiEwTalzS02wrRjDCNh3zMZMh2tCQBBJOgEstaHqWvhEHDppUynG3PO0YN24ZKoW0urq98VSCkMpZLMd0umEnFsMOTUvGSvaWFbEM4dCDIpcsbPH4y/ErJ8wmRwLGav0KNk6JVhLIhP8YNQFGS21ptFx6YsfRhLfFyRJ9DUXVVdy11x/dVU7cMjxVAb2vBw2GrUDs4OloUfAfT/h3e+tcOSMS2JZaddEUxNXJsMYbjPb0B9u2+SSFDJqsnqSObwoc0AfvuFf46SZ57Ffo234YnP8nCHQKj/xLGsy8xXXH00Cz2LTTMIvvaNF0fbSHU5NVbxILyoHca6KZ4f/JJ+lNKrcQyOf3A1peBcavpkJWUR7PlvTtARCySF4h2b7w4BbfSc2LT05jWLtLd4f6PXI88sBJ86WueqCAY/vD4iDIru3DQiCPo2my9xEwvhYguNKikWQG9atZ27NJi7aNsnVOwecbXR4YI9kYXmcay4KeeHMgPNLJXZtkJRKAx57QdDtmtRKAttKtI+IGQ0rWb4Yx7nbbZbhkqkLV0/BVioGxbAbMRI1rfTgVvKlxvLRaLiTmmaqVOcdxhF/8IkiT+0vkMhR9VZS4kiwFWlactrGzA0tVoM5b7C5Wlw2vANlmvCvM/EZKumSfDUfLT8kMSs7KYlIF7ZzoVVDLp5t3o8KShhrqhLGBlFkctm2gHd+ZwtL+dpuIvYJktGi8vCwmYw6KkOgr+6q5Ll5NpRaca4QJC95YevXJFuIWK3TSUjt68IYLwQ/iFluS6quwZU7A1qDgL1HDaYqJdav6/Hg8zBeLHH9xTHTU00e3CtZbtSpupPYagJj3Y43UCmXePCxZ/nyk59j87TFyy8V7NrcZu8pn88/UOHidQ47NwUstLo8tteh4prUypKSo3cYv/ykhUCSZaev0ESLZNWtWqzoigz5Wn7cnfkM5gG+amMn25ZfPa3MaImu4vpQaRd87nzM5H0fL9MaWDq/RFoIpXAkuCrRmpPMVyXzWcnx72GChGTFYVNkNOUlppqr70SIlUDOgzzPv2XaWdJejfprx7Fe/I0QiCiLC5SIKNECtShBCqX/TaSrZpgFtZLgi5iCG/GD39nlib02dz1ipr+AgY/JQOgL3IggEDoxIpIjj8FYihWVfJRxmqw6FK9uKw5PHyMIpyZAK393beUWRYIkMXjZZT0+8AWd1dNoJ7S6Ba7a0eaZQz2eP2YyWSvxhqtjPv1Qmy884rDrXJWNszHX7+xw2dW7mZnbjed1MNZOKGxbccVWcF7RpRMEDMKAv/6qYGGxwu71DldfGFGpLPGbf22wsFjk2h2SWgWqZR+petz1eAlHgWWmgU9KDDsaMnfIMMwEIdSQ167QMAixqsc8GkJkS7gy5d4yt9k+rN4rFhiyLZ0Aw/LZf0zyhx8rc2jZAdMCZQ39BV2ZrJDDZu3BPDVR+Z9neMGJF1VzfY+S+UK1gp28qF2YO13rPvjqbfWU+gntuiakQKRtPA18kYI8RgqJiDQ1EKhVywwxUppIL2ZjbcCPvbnNsXMmB89IEukTS8UgVlhxqhtP7SRUauKpUqDHUUKkhBZmqVW+g0NvxdHdJlnR+ZEksV6iSVZlpGauWUEk8AJFGFi88vIm7/u8T6Nr02iHHD9rcc3FJX7gdUv89l+YPPx8iTipcNvlHc5t7fD4CwOeOaw4tyixplwqEy7NdoSBiJEKwjjg2LkuD+w1WGxW2TJtcP0uyYVbPNbNLnLX0yGN1gQ71hhMjxtM1iJmxjs8eShkuVNg3ElwTJH6FJKTSWrgRXHEmSUDoZReHhiCSORabpkPSs7NKqfkWymBzVlBqJy/YObpbQQ4rs9SJ+bd76vwqa+WSSwHlA1SJxO7MsFWSRpDkosBH4q3WMETZY6H54c9ebdbXdVX7Zd+DX6yQi6b6U9EujWT6FUxXb1TdV88up1HUXZikSu1L8N4bZVeYGlrNcqAHvPGmwa0Bw3e9bsG59t6c9sXLv1Yx5gYUfo7p16H+bbhqH04oidRnAzbjMPOS5xvaWYDKYPZcT1R9mJrFPMepX7hgY6gbPdtagWLy7a32HdwkqlqxJlFxYHjFdbPBly0tcNXnhB0+gXOL5fYtdHl+27tsNwdcMejEmXqHAsEGEliY9vuuWa7dGenv+tVl25os25aMDPhY9kDlns9PvFAzF0Pj7O2YrJx1mDNZMLcZB/bbvKRe4r4PZvKdIJrSxxbYltZ1nsaf22EdAYRf/nlCtIwhs6sK9ypsqqYGcRkveihvcJoMmaoTCUYr1AIDl1hldaaRCLgMw/bfOnxoubdRsq7laSgEk1NUtXbcCy/+meT6CCmVdRk5J+YO3yu6oF/rWlm/pyy+mCpdyFHdsdCQJRttQuhK3mKaJ2HmWZWRjIFtlyRCo1QiBxVESJBGREvv8Lj265t8+d3GviBAmEyiLTIzBS6kmdV3IjSsDCpdzojmTkjjMyCRsDOAqgyeiOGh1/PN/nuW3t88IsDBqGbLqMnOv3Bjxl4kt5ADwknay5vubnNL+6vcHLRpuiGuLaJZdZ5y43LVIotnj/q8/gBlz1HHGbGaqwZi7lkY5HpsnGnY5nnQlOifuu3f4+dl17T9ELR9BPve1udE0hzQCQ73Lcn4LMPuTy/v8rmSYst60zWzwg2rhmwY8M89+/z+bM7J5l0FTM1qFcMqiVDN+ZLEdVSQKXoUS11eeqQz5/eMY6QRS2ftRNcExxLYJsCy5LYps6Pt0yJnWXHGzqg1czHbKdBUVm8tmWGOsfSDLEMH9vyEcrjs/cb/Nf/V+Po+SI4unorZVBQUFDaz8eSejEj729i5Hm4GiVGrAibXXFBsuLjqKrnnytbicM9zvyqW876LTuIrXanzV80+cqd70GT/zx/iEvvLEkC4+WQnVt8Ts4LDp4wiZEkUhGjhplDL7XcnTdFXRnAOypO2slgZICq/dh1oG61NOD+5w2Oni/imgLHSNIYdYFpqJQB6Jbh5tk++06GPHGoiKsSJAlBaGFIh+t2wcVb+pTKfZqDgPFqG1M12bxpPRNj5Z+ZP3vgkcuuuEVn9Ah8lIL+wOehPTHtvoHrlCA2qBcMdm1TzEzoyr1+us+WtYs8dqDHez41TkFaTFUSKkVFqWBQdKHgxLhOhGPrbRnb7XPnYzbewKVcBCfz6zZGRjmZWc4opXiUzDDyF4xHHoMZ7x7m6egDpWkEOLbHyaWY9326yv6jRSjZIG2kMnBUosGdjuOHgB4COxkdLpV4EU1ZycHzwM0BGFZU869FVnTHQFftbGs9SQVPItbTTZEdNDNqsqq/LiJW8v7V304wlCXrSm6ASOgPEnZs7PMD397msedtji1qqhIISS+WaQanvtCDLP141bnESOmFGvoZ6sodRCKN7NbxNUGgc4Y832K8ZvKaK9rc/8Q4Hdul7yf6OYjp9iPaXYOCo1houNhWjR//9gYdb5HnD44DEWHo0x8YLLbqbJgpcu32Hldt9yi7AWfmEzwZ0ewGxGEApCFUr7p+K4VCgfGCx77nDrPUNKiVtfBlvCoYqwqm6iFrJnpsmF3kicN93v2X45w/X2HrRMJYWVIpGpQKknIBSm5E0QkpOj7lQp/zywEPH6iBsikZCXYaBmXmwK0Pp2lg60s4xA5phJFzgs1H/aW82zI9Wt2Q3/urEvc8U4KCBcpBKBNHCgop7zbTqm2qtO+dURM1AreR16HkzwSrKvfwkLwK6Bm6Vx82M2oixOjzTOORkXAdVJx+nkdsHuArrhmJCFdfRis7VSujTWL63YibLvH4ye9p8t8+YNAYaGesgbAwhRjFouToSUYdI6X5s4rASAGunyKXRy8IAokfSrzA0F6VvsOV2zpMjrdY6DhUbUlxEOFYMbYVpRRXYpsWllliw0zEL31Pk3f/JTy9f4yeB+1+zHJbcW7RZKJWY7IWUS+HLDRi3ImtFGq7Cfz+COBTs9Mg19118syXfqNaLvz8ZC1h05yiWoqplgLqZZ/Z8TZdv81vfMTgS09OEw1ctkzCVFVQryiqZUW1BJViRLkYUCp4emOj0OGTD1nsO1yjZEuKZqzph5GlDafx2mkqsWlk5oyj6q2jRkbOsJnlWhavbaSV2zR9IsPnjz/q8qefqNFJXLAckCa2EkPebWfcO6vgWe97mO8jhjk/uk24qnJn4B4eNke2F3L1oOclTpkrFhzI8XCxkotnJ6XoxZnPowtF5b4gEsJVAH+pG0jG20WCayf80Hf0ON9Q/J+/VPQjRSQkPWGOTI5ELplDQiC1U1Z2EA2jGBUKgqxYGQwB7gUSy1d4psLzTDp9h50bB7zyshYfuqvM4qCAawqsPlhGhGkKDKWDhIVwAMHshODXf7DFl57u8b7PjnP6SIG1YwljxYhyQVAtKjbMKCbGDELv/G9cd9X2u57ddwZITf1/7b/8Nsp2gkYz3FqvBK/ftbHN5rUdpsfbTI41GKsu8cTRAb//6TJ3PTZBUdmsH4PpmmSsYlKvmtQrgno5ol4JqJU9aqU+Y9UWdz0e8GsfmKIxqDBRgKqTUExFNq6VHkptiWUpLEthm1q9all6j9O2NPe2TX2F6xUozbktUx8mLdPHNn1se8DzRwT//UN1TiwWwda821aKkpFQUPruYctsnWq0WmXmwb3CdzwLmM05pGbdkxz3Hrnijrop2cDqxTQmB/7VF0L6d1aCUuSGY7rsJ6mtVPZXhxtkQuRm5mLFvxp+tfT/Zf+2aMVM1QIe2GNwflGRKEWM9jo0sl1Uso5R1r4d3dGyuUXezz0/Mxh2pNLWsWsnXL6jy7H5iOePF1HSwMzHMKbQTMjCcE0qBYPLtgRsXtPhXMdj/xlBw4fGIGEpDSiulhzqpeTPn3rsqw/e9prXjyo4wG23vZai6/DJO+/j/37hUfzQoNcPibExzSK9vkPiG2wbTxgrJdRKilpZ5zfWyi8G9/R4m/0nB/zXD4xxZKHGTFlSNuP0YIk+WJpZ9daZ9paRxmznMixHgVFpho45Sh/WT129bWfA3mPwzt8cY8/hEontgHIwldKVO6Umdlq5h+CWqyp37kCZpbZl1XrUKsxV7vyAJzfKX2kh8dL8Oz/sydLMkjgr3GkQlxxV8uwfJEgUuX+cZY+EmsgnSo46NbkrJX8N6G+hK3m/n3Dhpj5/8HPL/Mj/VDx7RJHYkoG0MUQ6wBOgQp3FGcokreJp0rJM9J+pRP+dIKWZQVrRfZXeiQ1MZdE2XGbGAn75BxocPeew79gUppJa0ixiRBKmPXKDIFR4gUPPMxir2Oze1GPn+h49bwHLCkkSSbtbZLkhmV13ARu2voIw6AO/vBLgm+aqmHaBl+9WsBzzyF6XI02bMAIzhFk3oTqeUC5IykVFpWhQKUqqJaiWImrlgFrJo17uM1lr44Ut/vqrBY4ujjFWMKnbMUU7wbV0v3zUMdFiG8vQWfKmuXITe+gAa8b6FmaEOe4dYBk+ju0xEAF/9JkKT+8vEZm6chtSUlIJRZXo07rSXRNzNbhVjpbkuicjvs0KWjLq2a/671VV+mtV0CG9SD/Ndqzj4SekmVy6GicynfwJXcnVMNtnRHPidDNI9xryeZgv8d1XTFnT9qGfcMn2Pv/29U1+4f+YdALtudLFxBASQ8Ss0ORIDfhAggxzqsFUV+IFmR94ljatMAwztbPWNHNNLeR7X7bE//gri9OtGhIFRCRJTJSERHGSHk4lvYFFu6tYbttUSyUqRQ9bhQSBotEocvdjCReF02y9aBo/7g9/1SHAg8hCxs6hiOLhxChtLroBk2XNTYuupOwqiq6i5CpKBUmpgLZULkZUiyHV0oBauc/MRIu+3+a3PlLgvZ9bgxQuk25M2U5SgAvs7GlKLFOlH1NqkrYFrXSXz0ptBkZAj1Jaop+u4xEIj/d/qsBHv1LFM1xQzrAdOAS3wbAdmB0uh90amefcuao9bAmKFbRj5TbPKHl5OLZn1N5bbTv8Ir07K/88ibV9g8gBfZjGJnI6jyTRIVGIEY+XGZ+XKxV/uWr+on1KMeqPOyLmO2/xeeF4g/d+RtH1JKEj6ETaQkOlI/y8YVAe7Hr/NTuTyBylEygpUVLpiWo64R5TEW+/rUXMOf7XX8OxpSpBrAjjmCCKCYJE57AOFJ2+otVRlNqKcsGkUrQpFUIMFdPsxEyO20yOFQ7XS9YhRTD8/bKbG//7f/8Wb/9X1x4eqzqTzx1evHnv0SYDXzFZ1Uugk3WLibpivCYYr8aMVUPGKiFjFZ96pc94rUul3GTfiT5/+JkCH7hjFiEKTJcSak5CyUkoOgLXFriOwLG1RMC2FY4tsC1wrATbirHTj44VY6fDosxHw043QyzTx7U9gtjjA1+w+e/vG+d8qwRWAWWYFA0oG9qAyFbphWOsBLfm3yLXKhx1cJTUMRv5gNkh+JV4iZ6wWKFJedHAZ1gxV/73S4GOVX8+tErLdB3J6Pg4srjLaT6GdwcxFH4N125WgHsFMycRUCslXLlrQKsXs/eIgR8pYqkNhEzy8oSc4Q95LXy+fy9He6oim7xmojw94bQtxeXbPMbKHc43E04u2vRDI5Vjp8nIQaRTkb14uGvgBwopBdWSRxQ1KVankO6O9zx38Nj/u+7KS19cwQEs06VQcD9fK8o32I6xO/AFM+MWc1OKelnHSLhOhGuFuLbeki4VBtTKPYqlNp97AP7rh8Y5cK5OybKZKiZU7Ziyk1BwBAVb4NgCx1K5pwa3PkzGWFaCnTOI0WYxumOiD5YBlqHj/YqFPn9+p8F/f98Y51pFcF2kYVJQUFIpuNPKbRm5w2RWtfOBsTkQr4gHFyMgC7HyoJVxb16i/z0SleXgl6viIhvJr4JdhN5mH4qz0q+RVeg4SalTunU/jPqTI4uHbEE4ISZB/+Hq8K8Vl9FweJTQJWG8HPOffqDFUkfxl3cYJFLRR/PxYbtU5Cw/BFoOINAiMJm/mOXwLqYvKN32SW3HiRNBvSx426vbvOyyc7z7Qx633zdJe+AwXlTUnJiSDa4V4ZgRrh1ScBS1siKKJGMVLb8ddIyna5bz+SiIV/x2Kv8fv/eeP2N8dt2JIIivaraiy7atUVy1M2bHxh4b17RZO9VlZrzH5FiPqXqXybE25WKTs80ef/J5m/fcPsmBk+OMF02mSjF1J0nzVQQFR+A6EtdWuLbCsVNw2+BaCXbGz7PKnfZFbSvCyqq3pbc9bMujVOxz5FzMr3+ozlMHKlAoIg2LgiEoGwkFI8FRDHvuQ3pipFXb0J/rYZMYfcylMwxT3VZ9lOktV0o5quAZPVlBZ/JTxAzoL3HgzPGHvDYlq8grKnlOjpp1VxJyn2cKPrHyz0dXl+byYmjuPboDZOQqSQQTVe1h8uCziuWGJFGKSCiE0OkRkhfr4PO/4+juIFY8h6KBROjzQrqFlCQmayYSLtzYZ7zU4fD5mBPLimbXYKmvWOpIFjqC+RYsNBOWWhHNriCJFKWChRe6n+s2DrznB972gyte2xUVHGDD2k0gJOsm9rDcWqQVJqhOn8WBjyCCOEIIrb127JAH99p87qExnj9RQQrdPqw5ESUrq9oyXTvSLUHH0rclO1tFspIcNUldkDJwm3lwa6sH29SOSEfPx/zyH9f4ytNVKBSG4K6ktMQx9PJwvnJnmZ5GjpKsmFhmABarKIhYzbnFijf1xZX6pWD80o+8RUY2+BmO2HMtxDijAyKdckrtX5LdcWKZoGSaHq1GnZlkGN8Yr7BnxlzdehxVdEFCu5Nw4yV9fu1HlvnlPxEcOS8JhaQtLN0izOljRrDNPo9fQjop0wXqzGtRa1a0bl2m3RKDmXqPd35nl1dfM89nH27w8N4Chm3o1z9VKJJIpDKxipJD5xKON2Z41fUbieIX359eBPBvf8P1CGn4ex47xP9+f8S5RgklC7QHMY1+RH8QkkQhJDFSGTQDhyiyqFlQcxPKdkLBTihYaGDbAtfS0ynHVvpjjpY4adXWfe44pScRtqn73LaR73V7FJwBp5ZDfvVPKnz0y3V8o4AwbVxDUlYxhZSWZOC2jGS4GrViJK8y3UR+JC+/BrBz3DrrnJDvY4/ezdUdwZcyMEqSl2bd+QOoSFZOQTOemwFdJamXYDICepzSlGwxwVA5fXYs0yHS16MrK4uu6yS8+WU94mSZ//xHkuPLkkAIWphIpG7pZVYZZEqx9ColTu82mTe80sZFmc9LlgIXZk8Ncj8wKBUsts0N+Mk3DfjRNzSQSlOtwLfo9Ao0O0XafQMlYs4uezxyos7Wi17pB2H0NwO8WKoCU+8axLt33nxp7xaiAeeXLQ6eiDl2LuKMZ9OIdOCoGUHZhEoxTrPqE1wbXEukykIxqthWNoJFHyjNBMuK9dLpsGKn49pc1batANvUnNt1+pxd9vnF/1vm41+p45tFhOngKklFJRTTym0pDXLT0BNLI21BZofK4SFSsYJ+5AcUMlu8yA9qcqrBUbXORi+jj1+vWg89RUYF88X/Jhn9jex7aF1KLokhs1tLJ6hR2t6Mld6nNFKgGyvUivnuSkplcv8/j+/s4ZLwXS/vYxiL/OIfSo4vCXyglSZfaFfgJLsq018oc+iKcxrxJF2IVkSRnnKGoRpOPP1Q4vkKL1AMPINu36bgOLh2gBQRYWQQ+A7NVomjp10OnBScXgyp1ya57cZtX51eu/ZdzeXW3wxwIWb47B1fbJOU9w88blxs9tXcZETBLhAEMWEcYSlJEOs+smvqal1IW4CajohhtbZTlaBuC5KbTI586+xhBQ919U7B7Vga2LblYdsDltoB/+mPSnz8yzV8q4AwHRxDUUk5t22m4E4/ap4thq3BvLhrFAUuVwA8f6jMG/us6IzkgP01gZxhVLy4iq/eX8zbMHzNoprTn4wWssUwTUElI7lqBvTsz0YR2zk/8kRkR70hV1/9U+q7VIxDwnfc0ieMF/j5PxCcbQkGQtLUOW4IEa/8ZTObZbKtn3joDKB3diVBpGMl/exjKAmCFOy+wg/0s+/pVmAUSVpdh1MLBZ4+KOh4HdZOJ7huIVo/Y+0/t//z7cuufN3fDPDsBfcGnXc6bu2qYLFx6b7jsG02wg91A18KcA09lSzYCUUb3JRrZ5pwx1KpBFaMRu+G7pJYqSljBvBRtyTEMiMcK8DKgdux+1hOn/d9xOWjX6rjWyWE6WKn4C4a+kIbHiizlqCRi/kbHiJXxvxpoMsXyV2HI3cxOkxBbu9yFSRWr6BlXif5/y/Ei/9e3gB/OKnM/Z18VdWVcuXFljnCRrnReCxze5wqyVVRSIyUAyf6tj+s3i9aAM++qT4UOCS85eV99h9d5jc+qAiFoI9LkoI8SeKUjmi7tyhJRrn2mQgr0q4LQRAThJLAlPiBxLeEDisLtHbFy8KD011T2w6QIsWMiun7kp0bPAaBpOAWnm23u++sVIovWRheEuCvv+3VfPwTH43WzG1NiuYxTi3E7D3ucWwxYnEgAYuaDY4VU3Kg5EoKjqTg6A5JnmdbqTe49qgbjd6t1LPOHA5z0lagFQ4piWV6ONYA1x5wx6Mmf/WlGp5ZQBgutjKG4HZScNsZ5x6O/MWwgg87JXKlNDcD+IoxvMyt1MmVAF/ReMiV5BeJpmKGKWMZ0PMHypVm96uGMsO/txJ1ozvHqO02pFOp9XQkcvr1GIzsYJfj4/GqYVDu18hx82Skk0H3P1yR8NZb+zy2r8kXH9XHyYFwhpUcYr1bmYw8DaPUuF8rDcEwInwlsIJYT7BNDehBIPECvbIWhCLdzdRL35YZ4rgDXLvNhjVddi5VOX7OZqFl8ebXbkl6/Ti6+dYXV++vCXCAm264nsDvf/juO5/bvthZLhZdj5df4dPwPD73SBU/0k76RUdQLihKBaUB7kjc9ABpp0sKZm7sbqgE04xzDv/Z1o/Wl1hmyrlND8cZUHD6fO4Rg3e9Z4K9J6rgFrENg4qZUEordzaptI1EKxSHbUAxPFyOKrjM6c5TcOc3dnL7lyuXoV+akqxeGk7Syp11MbKuyEv1n/NGOkOPkYyqvBRfH15byQralJ+iKplaS6QT2DjWQNerY9nuZBaPkqMrwwjx0c+8+ucVwI71Cf/7J5q86w8SPveQ/tn6pkOCGt4ZdPXWG/pmlBBEWpKcnYO0/FlgGDFWmnpsWQrPkni+JAi034sQejNsvNpHqC53PCrpdmOS2KdSMrGKU92dF17zYddxvhaMvzbAJ6fWJM8+/vHfu2D79ncuNe4qNptFtq11mJmcp9Fts3e/hWtDuaColkzKRUnRFRRd3RXR9CMDtY6t0I6vo7zKLCPeNCMsFQ4BrqeUA1ynx2ceMvmPfzTO3hMVcAsa3MbXBvdQ05JV71x/2zS0NmLFcsWK0Xx+gyUZKdteAuB5Hj1yhdWVWySaJpCCPKuCK/rdQ3CPLNF0THa+omddiJXvzXCQRLJC2KWkIBYiR1ek5uRpFY8yh6xk1GlJMnqRyJUXoVj5abY0QS9h2xz8xo+1EQI++6D+GQc4JIlBlEgKcUJk6MVlU4EZpYsk4Uhzb2Q6ICPBMkSKF8nAUfihIooFQigcyyCKBQ89r/irO8eYqoyzfb3HQrPHVVdtX3zg8Rd+723f/bqveXr5mgAHKNQuIuq0aPaeoNH3eeawZHzMZrYecNrVWzz1iqn14KWEUiGi4EQ4VjTUj4wMMPXy64st1qJUKRhipZpuJ+Xdn33I4D/+3zGeO14Fp4BpGJRTcDvGSnDbqbZ8VMFzADfkMCM9X72HysEcwLOQqcy9Nt8OzKNbAzvnApukAamZXDUeXQjDM9iodqcgToa38rxr1Ar3KF7sl67xPeLj2VQxlCInY02dDdJEiDgH9IyTJ8ZIuxLnrRxWXMXZBZWVdf29dqzr8T9+tA0IPvuQ/nkHlkuYGPixoJgk2FHaxZLppFgmw59vKGpL7TpMQ1Ne14vx/IgwNEgShW0ZtLsW55csTCnZvcXHUANqlRI3X72Vcqn69SD89QFeLM96C8u9H52Z3fCROHymWLSLnG1E7D9aYLqqmKqbTI5JxisRtXJIqaCnX3YqaTVUjJDx8A0AdO80ix9R8TBt2DBCTMMfTiq/8KjBL/zhOM+fqIDjYpomFYOvX7lNMeLepkiBLjEMmVZyqVN2c8vM+RSwrHJn3oMiB/A8zVhBSWAFaGJ0g1qkBDzJxu35Kr6a0iSjDfWRT3qSUpxkaMyZV8gOLzySHE1JVkoNovROFevOhaHSbKRY5DKS8r+LHH0DeFFvRb8OGTdP2LGux2/8WJM4gc8/DBATGg6dxMRPtKGSFQksyVCkldee5R0TLKV3dF0rpjSIGfgxQWQihEG1WGDHuj4PjQUstWMsK+LC9XPdgiN+dO26We/vDXDiVrxz+8ZHS+6trbuWDhWnJ1t89iEHmwJb15qsnVZMj4VM1AbUKx6lwgDH8pBp9qSpkrRzkIUnpVO03I6gyiyNVYRlehimxx2Pmfzce8bZe1zTEmVYlFQK7qxym6PKnYHbNvPURKYfVVrFxYuGPVm2vSFJvQ41wEX2MQfuDOF5zj10ekoHLrEQemcyBflwv3IIxhF+ElYDOz2QRSsBnuQt0nIXVZ4yaYAnad9eA0n7yIxAbqhkaL0cG6QDF4acPMkCwVbdLTKN1mhLfwRwIRK2r+vzmz/eJEngzkcrqSFQzCA28VM5gyGG4t1Uf6LvXCTa18aS6c8qJEVTUHcS6r2YvucTBAlgcsGGGq+8ssPnH+yzcarEtVe/qjU2sf7Rs2eXYr7O4+sCvFqdwnGMheVu8hZz7LKv3PXI/WZJldm202BmHNZM9pka6zJWbdPuD2j0fY4fhz//okOnL3nbbT0u2ewT+oLZdHczirVIJknTjIVIq7gRYBg+X37K4md+b5wXTpXBcZGGRTEH7hWtQHNUrW2TtILLHMDl0NhR98Gzg05eKpuLHVQ5EdHwjcyVsdyAJO/gFEUaoGEOyVnLTKYtO3JfR18kGTVJhyBRkrNhyAYjowvpa0W7ZD9fVsGHNndRJj9I83YiQZQuemc+JUksNE0ZaskFGRTzShKZAXrYG089VtLBzra5Pr/1k01+8rfhK08kREQgLWJpEAulX5ckgSjGTCLKFY+5CZ8oiLhki8/bbhvQ6kk+9MUSx885tDyH8+ctJruSdi+g58W0OhZrJmvcfHGDXbt2BLbpvaVcri2US6WvW6O/LsBd1+SFA8dZu2bDKZPe4XLy3A7X6FB0DcYqPrbVZu/JAZ95XPLA82WePVBEKUV3oAiimEcPRUCACAa86soWb7m1wy2XD5goCJJEn5QRCYYKEUbEXY9Z/NTvjLH/pLZ5EIaNq+QKcK+u3HoziJzdgEi3g5SmKSkvz/Y8hwA3cuAemj6OjPXFanCvqNzaNzBKOw8y9QkRMYhw9I+SRGdNCpny8NwXyh8yh8COIEw/RjlengF9tZNrVr0z0OUPyUqkd6VIpJ4y+i4WZb3xIa2Sqyq4GFEVcpUblXZqEoQwR6+TjBGDhK1zfX7/Zxr8+99JuPvREpEKQSrN9WIQScRUweeWK7u85dY+L788wvdtktjCUA5hpLhiY4xhtHj6UIMH9lrsPV5g/9Ey51pwciHCPBKzds0abn3l5Yc3rt96annhBGOT678uwP9GTdDBwyc5e+JRyuXqTc/sPXjPgQP38J23DEjw+b1PODz0fJl+z6VelJRtvU8SxjAIoONLmj40vAS/71N027zy0gZvf22bay70majqW15Mwt2POfy739LgTuwCpL3uqplQNlN1oJkOdCwdiGZbGtB26qiV99ZYwcnNbA0u04KnyQN5cKt8/nzmiprDJLlDZbzSylg76abaimyrPBKEqYV0EDJ8hmFCEMaEYUwQJYRhto0ep9YL2oohjEd3Br2+lbyI+68E4SoLvOEhTqRnjdGQKzuPmOnrpV+nrFCMdmGHU2YriwDUMgpnOGUO0jOTj2UOcJw+B0/Dv//tKnc/UiBGgdDKxGsu6vP21/a4ZXdMwXJodot0+y69vk3PM/F8bR4q0B7h9UqPjtflgb3wOx8fRyQmb7iqy/bNF+5xqzu/d3Hp/J4ffOtrqY3P/f0rOMDWzWuZX+ozUXfOHJsv3ls+ve+mgXeY997pcs+T42wcM5lZJyjaWl4aRXoLozuIafdimn0o9iTzyqHVU3z8K4q7H7H5iTe3+Jnv79ANBA88ZfOrf1Jl//ECiWOl1mqKQroo7KiMmoyGOFb2phgZuHNPQ2BZYrjfmRkIZdv5Zi55N1uhGhmHjsCdTQ41wHXVzudWRqm7qxSSMNU+Z5U+TtII7DhT2eUvlEwAlavgORuzMCSXX5SM7NJytGhFVyWnOsy6QPnuULZzaqR96CgG08jiwRn6BmbaFIZLFDJ38aRuvkIhU3qS+U7qp4nvx2xb1+d3f7rBr/xJzINP2XQDwU99b5uf+M4eFcek1Smy2CzT6hZodR2aHZtmx6TbVwx87auiVELBqTA74fHyi5bwwgZ/cnudWmmabTPer3UHj+/5gXf+Gj/7zr8JvX8LgANMjrk89tijBzfOln6PwcU3ffSe87xwpMRVm222rVWsmYSSmxCEgkZH0uzAcjtiqRlgqFjv2MUSLzL05KsX8PsfKREBZxcln73fYbFpk1gGCAshDSwpcGWc6rhzwDbE6KO5GtxqRFms0fqbbWhnLD1BzdK/oiG4jVz8iRhSlJVkN+PeOhsntSyOtQpuuGUvNCiGlscyjeeToyo7Oqgmw8qszSeTdJRNWvmT1K87Z4e2CuT523D29bODcgZsJZNh18iM9AU/9Aw0xPBAq08NargCl93chZApDx+ZeUpp6NcrjFFSoaSh/SdlROiZbF/n8X/+Q5PPPuBwblHyzrd0KVmCdtemN3DpDhxaXYfFhst8w2KhIVluxbS7IY2OjrcpuZK5CYdt66fYtabJG6/us3nT9WzceSW9fh/4tb8NdP92AAdYt3Y99Wrl0eVO55PCWnzT7vXHuXxHwvo1DZ49HHJ0EdZNxNyw2+L42TJHz2qDyzj2GQQRXT/B9iQDISERTFRjZmYiEpUQDiRxphoSCikVjkxXzYbPnL4kz7VTkNuW0pw8tZvIbCe0DEAvMVvGi6eoI4DrKi5yHDz/GJnQy6Endxile4ZRgghGvDXJ6Z2lAhHluyjJCnDHcabVIEdlEoKI9Cly8SLJkPcPQT5svybDeBUpxCiqMQO3SgiV/jpm/q4QR6nKcNQTJ0kPmjndu5QypXAqvTPo1y1UCiPWpvux0odXYonlJJw7rzg3L1loCipT+rXTS8Qm3b7Fcsvk3JLk9HzIiXMhRxciLtzcZtNsQKsvuevpKgdO2VyypcCtV21i0/atn5ya2fbooN/428L2bw/w6Zlp7n3y1DGqV//7N9/6gGouhG9o9pt84TGTZ/YpWn1JuRBy9UV9Xrbbw7XrBL5Dp6ew2/qWlgD4EZvnBvzqDzd5y219Wg3JA0/Y3PuMpd+tdGPEkgw9u82cpntUuUXKwVX6FEMZrgZ5PFyDGwq68rYThg5GUmm/3pARUsXD5GTyFXyYsiCHJvNhpAgiRagSZCARQg3BFseCyBBD6pEJtzS881PMkXVwOAR5gh+in5HQz1ADM4saySJg8udWme5LGiK1xZBiaGxkqgQr3T01owQrSvl9lI3u4xX8XqM7T09SgA+t2xLtQhYpjDRRQh9WJSAQKuGZ50x+669KdBoGiz3Fr/5Qm7l6RKenL9KBL2n1JAuNiP0nAtrhgNfe2OP6XQllV9HuweRYj8f3dnlgbxXPGbv9tjdd8e/h1PFKZcs/PsABbrpsjgMHvnrc3njtni8+2nnDC/t8pmtFrtulD1/zDcFDzwQ0+y2+/Zo2U2MWpxf0gp4fSbr9kI3jLX7th5Z488sCjIHJRDHi1364xU/+jsnzx12StAqN/LozE8f0Dcq5YWkdQ6pYzG8HpYckLRmIhlpzbdKZbuan9hOG0h91dr2O+tbT12RYucNIjiyAY0UYGoSRwg8NAqmQwhgNg9LechQLbW+Wl9wOK/xoqJP1voMcuAehwAvAC7Xuvp8+B3FW9TXtI9LfUABJWr6FkKlLgMCWCa7Syx+O0mcYOxU+ZSKozMhej+tHp9fR5lJ6aM2WrqVEGTFmqAiNeBRnmFZ9pRKeO6T4lT+pstBxwFJ85G4LUPzaD3cYKw5YbpUg0b/j+eWYTujzbTf02b2+yIGjLgsNXQyrxYTXXd1mcqbM9IbL93z1/kePv+zGW/4ukP27ARygE22iXJv7jbWzZzZb8eCtW6aP8JlHiyw14OW7EyrFEsfmXU6cb1N0fUgMep6gGURcuWOBH3vtEm+8QeH3y/hJgmEEXLt7wK6NPvuOxsSQy4bPfAlZoS/JDpamqVILihG4ndxep2NFK1ffTK1WNI1g6Iplpqad0ggRMiKRMUeOSxptDdaCI9i8LsK1BYTaZSlIn0Zg4iszbZfpXvEQ4JEgVCo9iK10iB1W8CQzftfg9kIYBIJBKOgHgm4g6EaCXpgQRCFEPmYUYkQBhh2xeYNP0Y5JECy3JMdPWCRCgTAYKIOeMmlLhWsICkrgZoMyM+P2L44fgWg4ahSoFOAiPbimmp5AEqqEKJTDswhJujEvY/YetXjwqRLYRZAWXiL4yD1FMBZ5x21d1o/3cJ0SApueF7Fhps9szeWJfRZn2z1uvazNwrLkcw8VuHH3FJet2fXha6/d/Rv99qm/K1z/7gC/7IL13HX33c2br9j2jt98Ys/c0vLEjWtrHt2m4ORCiGH1iWKXe/fEXLFZ0OnHzHcj3nTTeX7+rS0sWWS5YREnYBp6ibio4LVXD/jcQyG9JPWwlgy9Sozs9pqC2zT1AMdKrZeHq292gpsC27G1JsYZbgZlSxQ+ju2nUXM+/SDkkRcUX33SJMZEKsVnHnA5eUoRJzBZjXjFdQPGiiFlN+K1Nw6YGxtQck0C06E3sJEpdycx00QDzc+NMBkqFYdb8lk/Ox55bGf82w90e7UbCNqBoBXCwA+R0YC602PddJ/X3tCl4obUSgmvuDZgqhoTJXDslMEXHjCR6eDmK08UeHJ/gbbv0PEduoaJa0pKpqAU6XbrsEszrOIJetATpVUchFB6MioycZrUwQZRjJXmAcXxaHA3GCR89pECoVlEmkUcQ2ErILH51AMOdz7W4eff2uDWS1qUCw71cszlO2NUIgllh7UTijAocWbR4LpdBrt3mPeFcuc77vnKvb1bbn3NNx7gAK98xSs4ceTR3i+98zb/w5/6GCdP+1x+QcLMRMCJsxbFQkzZsVlswJF5n1uuaPLjr4/ptGfpDUwSwDLiNLtcn8hv2d2mXgrodeJ0Y3tUvUf9W9KD5UtTE9eKce0ofYa6Z2sH2LaPY/kUXQ9TDWj2fB54TrD/pMGf3VnnzLLDwqKNlAYIRWxI3SmT0GklvPdzCSIMwfD5o88P2D7b54de1+Gm3R1q1YBO1x32HuIkTTwLBYEhUOHILGc44xwuBCTDjokfaWrSCyRNX9DwE4KBx2SlzS2XNfmh13bYMhsxMy4xDEUUGAShRezrr7tlJuGnvjtGyAghQ/71KxucbTT4izsd9p10eeZAibPtIn3fYeAIynG+Q5Ok4B4pbgTRUJIrpUz76brQDG2RI0k4lNlqmcByR3D3k2UwXSqWYtxOKJoxpqEPsG2vwu9/0iKmze71TQ6dKtHpWhBHDLwih096LDUV9XKMJ+wgKr/huU4Q9l779wD33xvgAE55B0kSP3LF7quuW2zc6w58n6deKOLaAWvH9Tht/4mAresHvPFahyMnx+n0DUBgW9peuVz0SQDDCCkXBtx2bZ8P3KHnaJmTqSFzeYpfD9x2nHq1hLh2iGsHuE6AY3mUCh6lQo+zyz4PPy/4xFdLfPKhCkHkIpWFNAzMssSUYmT8rt/lYbpYFEMQJ5xaijh+3uPep3u84w1L/OC3d9kyEaFkMjSz0TuHEjPUF+nIRySXYpzF9qXV2wsEvUDQDATLgwSVdLls7TLveGODt7/eQ8Y2vl+g2zXTkNeRtkek+5C6N60zilw7ZMfakP/xwx5h3OMzD7f42FdLPLKnxrGlEn3HwneEnpzG8VDdmK3PCSERmRWbHO2tZqt/liHTAZdKK7jurHz+YZtm18UxTSachHE3puxCwdbOZQhBu1/g9nssCrc22LFBcuC4w3JXUHR9Lt0qmG8rkIItGy9/obV8+ser4xv/vjD9+wN8cqJCkrR+6ZrrbkqeP3Dsp48d2edIZdHsStYVI843JcqEubECn3/QJgwEJQeKBUmtZFCv6DdJyQTbCqiWDK7c7vOhL+RDoEaTN3PIu1OAD8EdrwS3E1JwfFzbp+B4VIp9hOjxwomQ//WXJT73WI1mu4gqWBRchauEDtBSCaaItfAqpx5MklGsnh8L+pZBLzLwAps//pzLfU8v8x++Z5m33NwhGU42sw1xhSFl2l8fkfD8iD6IEryUc7d8SWOQIIIO33XreX72rS22rlH0uzUGvk0QmAShoVe54rx4jeFwKpMia4VmhGkG2KbPG2/o8/LdDe54osv/+vM6B89UWewWCVz9tTKjIC2LHemEMulwxr8NA8wwWxpOQR4LYrQW5on9FsHApl6FmhNTLybUy6m9dlFRLgoKTkQYJpw+X2LDzIBq2eBsSzA7HtEfmJjSZ27N9sEtt7zmdst2k9mJwj89wPWLWokfe/ivf3XH5noQepO/sLy0ZCUJFO2AWsGg5ysOnQHb7nHybEC377BhwmDtpHYNVdLEtiJKBRM/NPD8EIHQyQIrYkXEyKQzjTexzYx3Z+DOAO5TdLQ3ea3cxY96fOhOkw99cZI9R+qEwqVckxQVevxvxENToCyLU64a0Wd6kCDWI/h+IOgYBi2/xLNHLX75fSZSzvMdN3RIEkkY6g6L5eup6Yu+ZnpHCCPdDvRS3t0YJCRBl++65Ry/8m/azE04NFpFegNbm8cH+nXLNtOHGzjp5TicNqpkqLPPOkZ9z6FUGPDt1/bZNrvAn32xywe/OMFSu0pQNFJop5f1UHCWTTB1G1UphWEIfAN8Qw6pSsbDQQvepKEomTqmplKUjNcMpscM1s/ErJ9p0/YGHDtjMVFP6PQtGj3JwIvxPEGjLZiemfYNZ/J/PvDgV979vW95c/y3BuQ/NsABNs80/frFpV+fqYz7n7+n+1+WOgMppNQ+3qZBuxexZUaxe5PH4fkmj+4pkyRa1VZ0FZWi9sKIIkWCzn40M1qi0t3KVCU4pCYmwzaga+u4FNcOKDg+BXdAye1TLXZ54kDAH91e4stPjnGmUaFYNBmzoWSO/FOyHrsxbIOtaunlAB6m61eFUFAMBEVD0DAsTixN8J/eK4jj87zpei1G8wOTgWlgGAqlss2bkf57yL/T6t3wBHHY47tvOcev/JsOU9Ui55ZK9PsOfc9i4KsU4NkyrtbC5EUpepSeAtwYGZbq7pHJwLcoOhaXbOrzru8dcNWu0/zhpz0eeWGcOLH1kCeFuiTV5qQpfHpRRAcVeKlUwk9jSoIcyBMkQkgclQw3vsarBhtmY9ZOL/PAvgEnztoUTItLtnTwAocgzOLJE6Ry4tOttf9lienfivyW/w/F5z8Y4GMbfphnn7q9Xx6/5JO7dk382uLyfdhmQEeYJAk4puTR5wNuvqTCa65Y5uCpDsfOVxmrRHQHhs5FjPQ42DBASjmMGNHin9FIfsi7bW2inj9QFlyfgutRLvSpldo8fiDgP/xhnUdfGMd0C0zUJFUzoWTFWrBlkgJ8tJScGd1n1TajKXEqic04sxfAIIixDYGtBIY0OLk4zi+/L8FSC7zyih4D36LvmZiGMYwFHwI87aBk9KTlC3pBwOuvW+BXfqDNdLXIQqNCu+fQG1gMPIOBZwy3zYNU3BXHYoWqcJQGPQK4HnQZWFaEY5kEgZ4kVoom33Nrh21z5/mZP4h45IVJ5nHIloeHWhORDXfiNFxXYAQCOwDPl3i20neV0Ej9vPWLZygtp3AdSbUk2DDb5VyryV2PjHHR+hLXXdhgsWXoAWAiGAQxnT7suujyxCqt/2Qc9vtvfdNb/6Hw/IcDHGBsfB1r1k4cOHy28M51m7w/bC4+JoNQhxhFSUy5nPCVp2PWTpV54/UL/PGnIjo9gyAYZUAOgoSDZyyEKbU01kQDyJRDfxXHErlDZYRrxxSckKKrOyQlt0+l2ObJQwE/9Z5xnjo8QbHsULehaseUrJE/+fDiMUYLyXlvlHxyQpKO1bUSMM109MExwVKatysMTpwf5+P3elx7YYtSYUC3b2Ma8TDENvNVjeOEMNadk14oaA1gqtjmu25uMTde4PR8lVbXpdOz6fZNep7C8/T2uR+k6sV0kTgZDmYyOpHFvui8Uns47IrxLH0uCAId8e0FBpdsbvM7P77Iv/8/CY8dnGCBAkLIkaAqA7iKUx4eYxqKgdJFx/elNusJdMjU5lkPyw5JEgsl9dmpUoyRcsCn73epuS63XNaj2fVQ0iSKTUwVUS8KXn3r5fG6jevfeXDp8gN1+/g/BjT/cQA+t+5S7rjvGf/4+PV/euWuvYXn947/9vMHllnug2MYXL7NZ8/hJvPLY9QnLEK0sEh7hWjh01Ir5mNfrVO0JAUzxjFTOawlcs5Y2qjTseOUe4dDalJ0+lTLbZ49EvDvfn+Cp49MUiraTNgJFTuhaMdpbErmTa6feililNCcz9vRk0mRoxRa6ur7MZ4VY3np4oSM9U5kbPLZRyZZP+XxU2/pU3A0SI10W4hcBdf8W9DxBKbh8RNvXuDVV0jOLVZodlxaHYd2z6LbV/QGWmk38MVQjBXm9jY1wEfZQVlLVYvNRGq+FOPb+vA7ojl6vL5rfZvf/clFfvL34MlDUyziDHOJskUQ/cwOr/r1sjzBwJL67uIZ9AY2b765w59+wcOLbOJEvy6mEYOMWOw6zFUVJxd99hx02L3FoFL06fRMhDvDE0crP3vTy2/+040bHomEcc23DsABXnPjJbSbp6LC1u88lKin2g/t/WJ5sryEbSjCWFdLsulkeiK3TNKWocejBxO6foEJO3XJSg2EXFvhWFJbwtnpMMeOKNghrhNQcLRfYbnY5elDPj/+uxM8d3ySStFmwol1JpCdUEzNPl0782zRF41lSExr5J+SyUzzk8c4DTYNQvDDNLTUj9PdU71YLWVMAhwJCnz64TpvvPEcm6YH2JY7quJoypNdLINA0PJgy7oGr70qYODVWG4VabRdmh2Ldteg05f0BoK+p2XIQZhF9o228QWZZUR6jhhKGfKDMKFNdoacWeuvo1gSR4Kd6wV/8FNL/PjvCZ44OMWSsnXYrhwtgxgZVVHRsLulqaPCdUy6fZtyyWLXxi6PPV/GCwR+kBCEKuXo+mr0AolUsNjSF/22jRbrtt/c3nbBVYeOnjwfbVr3jwPuf1SAAyijwN1Pdm/fMHf5j7/+1dHvLB6/fWx5ucORM4oDJ8tcf6FPEHlUrDLloqRUSKgWAxJ6vP+OMiK2qTkxRUekzrQK11GpY9ao1z3k3Y5uBdbLHZ4+7PEz7xnjueMTlFybSSemmpmBpt7khdR437FU6r6VhdDm9OIqW0AeGZpkZpF+CEEgGPiKvq9pk2lqPYsUMXGS4EcJJ87W+OT9LX7uuwfapcuI06+XDPvgQQRdXxAlPm+5scW6SYfjZ4o0Og7LbYtm26TVlXT6Cb1+TN+P8P0YP0wIw1iLpXL0RAw14OmytZlqdVJq59lSX5yRSDsfmfx2dODYsS7hd39ikZ96j+KxA1OY0kinyfHwTjUKlhIoqTCV3p6yLZOC41ItFXnHazo88YJPo2fRG8S0ugb9gUXB6DPfCHndtQbEAw6fMrGK43z77luXLrviwp+CE7cvNdf+Y0LyHxfghWIdgG63+aHNL7/BuOPu5DfC+M7Jo3uWuHqHQb22yIfudCmYFlNjkrFqyJrJNnc9FfPkoRozRagXoVIQlFxFwVWpY1aC6yTDjknBycDtUy33iOnxP/+qwuOHJqmUHKbcWDvdOgklVy9jFFxJwTH0HSFLmrBzzraptNZIzYlkpi0h1YGnw5ssT703kHRSFy/TEEgZkhARRTGdqsFffGWcN1x3lrXjPpYZpfue2Q6n1n13AsGODS3eclPI/FKdRttluWWz1DRpdAStTkynH9HrRwy8mIGv+X8QrlxjGyafqdFQTB8uNT0ZWBLHV3h+yuHDPIfP8XgSLtkU8/Pfs8C/frdDo1vDklKDPFuJGy45RGkwl0IqiaEMLNOmYJe4ZFOfWy9f4iuPzjBdjTm/FLNxjctrrurx518c8MjzRXbv6LHQqfB93/Hy+W0X3PTzrVbwoWp11z8quP/RAZ49isUqUdB537e9+ib58U+e+h+7NjwxeeHWJo/sj1haqrJtrcncZMLmNR0On+3wF1+pUJA20+WEWklQKRmUi4au8m5CyU0oOrletx3gOj6lwoAw7vGBOy0eOTiO4zpMuomu3E5C2RWUXEkxBXfBlSnQEwpOTCG9I2S6lcxhyzBSoZapFwGiWND3FP2BPpj1PUW3b1DoK1xLYRoGMp1SRlFEL0w4uFjiUw9YvOu7+1hmBWPoMJCu9IWSnhfxnTe2cK0iJ5aLLLcdlloGSy3Bcium1Qlp9yN6/ZieBz0/Hed7+hmlHWLtr67lxU4a4OUMJ70xriXx/ZggUIShShOJ1XAdToM7Ow/FXLalxQ+/bp733WmyPChjSzGiKkO3r5hhKKdQWrOiTEyjgG1X+Z5bmhw+3eLw+SqVYsj+4xbb1pe44oIezxwRmGaN667aNb9u442/2OuF75uaqv49kPY3P9Q//Eu89OO//Nf/zuYLbngyiNz5ybH2zU+9sOw+9GyZLTMFLrsg4eItLeamz/GHn7W4/6lxNo1JZsYEYxWDWtmkWlJU0qCrohNTcDW4i06guyYFj/Fqi0/cl/Cr75ui0asxXRSMuTEVJ6FcEJRdSamgI8ZLRaVT4YqxfpZCnQxX9qmVPMarfabHO8yMtZgab9EZdDl0ZsBSu09nMGDNZIf1Mz1qJY+CE6WuXbq1qbJlDVJ7tCim5yn6UcRrruySxEVaHYtmR9HsxjTaEedaAlSPH7qtTdGucmahzPklm4VlrZFebgUstUKW2glnm4Ljy4rjS3BmOSJRHmvX9hgf71GvD5jvRJw4L1nsCRoDiRcqgig9jIajjf3hFn8qtBlmbSKGfXqEYKwcc+1FHY6fj3n8hYKWMojMrzG1k0vHvJmMQS9N6KeSkm1rQ5BdPv2Qg+cpkjChYDtcvj0mSQYY7oalay/e+HO91vH3bd520TcKht+YCp49/s33vY4v3PneD7Y6M/6yZ/3fDRMny1fu9NixaZGFbocP/bXFQ3vqbByTzI0JpuqpS1ZZUHJ1hdXVVX907QDX1orASrHHyUWfj3ypyny7ykxdUrdjSnZCydGVW6fBpRHjRaFT4QoRpUJAuRBQKvjUywOqpR5x0uNLTwqeO2aiTMm+4zbP7LNJhMC2E668cMCGqYB+3+M1V3bYPGMxWS9xZqGEbboYykQINdxJnenHHD1T5pkjLS7d6Gnak1XwKGG5Bxdv77Jh2mJhuchyy2KxqcG90AhYbEUstAXHlwX9yGfzXJfvv6qD14d1UyFXXxjgWtoX7okXDA4cMxFmwrPHXO5+vMLZpk3NVUyWYipugh/GmtpEMXGUkCSGXlAQKvWBMVN5coyhisxN+nzvrW3ue7rFyeVxHCUxZZzOCPTFEsZZyzRO7xC6/SgoYKiE6y9Y5F3fe447Hy3x3JkSibQRwuJV10+3z/ZnfvKZ482/+jff/f3fSAh+YwEO8MR+Ox5E1od3bbdCPD5415N77UcPFHj6mMueww7r65J1M4LZSZPpcYPxakylGOFaUXqAS807zZH01XW0fddXnjJ4+GCNYsGiasWUnFhz7oyaFIw00zOhUoyoFEOqpYBK0aNWHlAudDi91Of+ffDVp0t88fEyja5NwVSoRCJi3XprdxK+eH9MTEwvSPjcwz1eeWWXb7t6mV3ru5QKdWyzhBAOUWzgBTHdQcj5rskTh2wu3eRhmVpSG8fgB4JIRFyx1YOkyELTYb6hWFiOmV8OOLsUcXxZcK4Rsm1Tk9dd3eFVl8esm1R4nkWc2BgqW0aIednFMS+7RKfPtfsN7r6sxVeecdhzosKR82XGPMlkMcYLY731H4epPNZAIBGoYb9b97kjmu0Cl24JuPWyJh+8u0Tbd3GU0Idl9NKEF0AvHcq1+zHdfsTAM4giAykLbFsX8vZXLXDlti7PHLIomi0M58KBciZ/6NUXJR9bWO79g8bw3xIA/48//q84M78UFQrOAydPnWl3+h/l+Ilj9paZEEuFhD2LNRMG62cU66Z9pscGFN0ASIb+IyB0eKgZYhoRru0z34z44sMVWu0is3XS6BTSbomk4BqUCopyMaFaSilJyadW7lOvdHGdFs8cDXn3B+vsP1ElETaOEmysoNOY06xOla5ahrGeIHqBoNWp8vEvl7j7CY+XX9bgzdfPMzcVoGSNKHLThIKYiXbElx4v8a9ubeBYkU4yTrTm27V8br0MGu0ii02ThQacbwScWow40QCn1Oanb2vw8t0J9VKBKHI5cdbS9sJBumSABqU+UEY4dkDJ9XjdVR6vv77H/lNn+NUPdnnq0Bj90GEqSHQFjzV/1odTQ8thDZlabmh9UKvnMjvR57Zr+tz9eJfTbYe+KbCkNv30tYWXpiiJtgQq2zFTnQA/SFDKYLJuc7pR4vg5EwJFbWrXoFaf+f7HD6375LFzi9G/+p7v+0bD7xsPcID6eB1bcGbrlk0XV2prb5ryk/fj7yucWVI4BYeNayQXb+0wNb7IY/tDvCDmlksCqkWLTs/FC0z9w8p0j1KG3Pes4lOPVCkUDCqWjlDJWoFF16DkKsoFUr4dUK94jFf61CstItHmv/2Fy8fuXUMYFBhzBPWi5u4FGxwrVS6m082hzDW9Jfe9mHZfsdgp8PEvOXz2wS7/+pVN3nRdRMIEg8Cl2zeYaMac6jo8dxTWjwWpy1VC2xNctKlLwXJYWHQ4v6yYX/I5cT7i6FLMG26Z5/tfPqBolllulTh62tGtNk8bxmdRNALdObHSDpBrxxSdkFLBp1Yusn2my4d+rsPH7+vyOx+e4kS7TBgr4iQGESMI0+6LmQ66DP21LBPHtmh1XW67qs8ndnf4q3uq+LFJEIOIBETQCwQtL6Fc6nHjpX0iX/DUviKNngVCsHmNJJIJx87AjZdvY3p63Q/ffd9NH7/m0geTV772Gw/ufzKAO5q4Rb/++x8+O53c95GofpXRbvl/mMRnqhtnBOtmuvSiRX73ky7P7jNZ6Ehuf7jD217Z5IZdEMV6+hYPpaExXiAIQ4tiSVCwElw763Xr9mKxoEfE+jDpM1HtM15rcvcTfd53V40nD05StxRTYwm1gu64FFMj/2FChSmGLUPQE8gggr4X0xvETHciFltwbLHM+75g4NrLvOrSJfreJO2exUJDcWpZcfdTBX7y9X6qu4DWIOGWSwNMWdK2CcsRJ+ZDTjRCXnXtEm9/VUjoT7H/TImFhkmzI+n2YeDrSWpmBSeFdquyUjmDa0PJNSgVTFpdm2rJZqzq8NZbWuzccIb33tnnrken0uWEWD9llFpKaw9HnV1q0LdN+p5NraywjYhM1ZVJif1I0AwSbrh0gbe/osOuDTaNlsEjF/T43IMexxfg8CnYut7g4m1zC5df/YbliZmdR3dd5ieV0nf/k4D7nwzg2eMXfuKt/M4f/D9+7K32X548u9G8cPvG31qa3zt+19MtTp+dYO24zct3J5xZEDy4z+b9YczmGZ+irRh4pl5xMw19+pcCoQwKZkLBjHU+UJoyUXQllYLm8tWSz3i1z1i1yV1P9vmF947T7tTZMCaZKsXUSlApaFWjPpAKio5OGNOrb9p2Qqb8OQil3gjvGiy3DCZaEWPlkEPnCrz3s4I4WeamXQ1a3XEWlg3Gl0KUUCSJj6G0DYQhPZJIsdgscH5ZcGo+4HQj4hVXN3jHaxIajRkOnSpyfkmy1IxptEPa/dRxNUyT1YRWWuooRj3Ach1JuSApFXQXqttX9D2T8arJFVub7Fi3yC+QcNdj06kNRJzmxodp71xPjR1LUXRNfN/UW0OpXshRmr5ZRkLQE6wZ9/jB27rsmKpz/5MTnF4UVIsRP/S6LodONznXWstG99rF+X7hZ9etv/mDXjQvpLL+KSH3TwtwgJ965w/xU++EyG98cPMu0/jEF+799fC5eyav2bFMojzWT8asm3bo+QmTkyatnkWnU2LgSVxHGwmFoe5umkripm9ylg+kAZ5QKsRUij618oCpsSZ3PzHglz8wTn9QZ8uEYLoSUy9JamVFrWxQLUmqJagWIyqlgMmqlt6GcUgQ6cNXAoShZOCbEJsEgcWpBYeT523KxZB9J1w++HlQosWlm9qcW6py/Jxi32GTZ48FFJ2IzkBw4WafizfCcsPizHzM8YWAqy9p8vZXxywtT7H3qMvp8wmnFgLOLEb4UUgoEgaB7sCAHsmHoSSJJEVbMlEOqBZ1a7RcMlJwW6lAS2tPZicE/+VtDaJEcNcj05hKppLadBXQ0jmmBUcx8HRuZRgaJEgsKShbMbWCFqwVrIRQSQ6drNJvlXnoeWgOIjZN9Tly1uL6S6q89jXXzU/NveIXro/DD/4sC9hqlZvSv0SAZw9l1VhY7r/35uteJgqG+B+PPvK5yecPtWm3C7iFARdtgXrV5uyCMVzTmqgpLDPCD00g1hXF0DoLDW6DoisouzGVYkil5DM70abjtfmTL4yx0KizfVKDe6KqzfvHKgZjVRirREzVfabqXWy7y8HTIXIQ8vQhyfNHbRxbV7EkjvG8ARdu6rJ9nWTDGosNsyUOHi9QcEwe3y+4/f6Aizc32TDrcuikwblTNoMwomKFeIGBaUuEKHB+WXHsbEhi9Pn260IajUke3+ty4ETE/tMhqD7lcsAl6z12bgrpe4o41kvZjh3z/FHJs4dspKF44YSLq0xmqxET1TgVaJlDDXk2tdwwm/AjtzV55DmHU8s1XEOkoV1RqthUuANJzzMYeHqDKEkkthJUXZioCMarJlGc0B5E7D9SYKEMk2NdNpgGE2M+zYHDhu0vm79k9yt+EZL3CvmNGeJ8SwMcYKLusv/E0p9u3HZ5CMZv18tfqXe753nhhGLXpojFpkGzE3P6vI9EsHWtQaVoEUYGlhXiGJJipjVJqYmu3hHlgs94pUej2+GPPlvgwMkxNtYF05WEiapiomYyUTOYqCVM1gPWTPQoF1scPNvnq8+YfOWpAo5h0u0Z9HoGjiWHHZUgjNh/LKLghmyZG3DtRctcsLlLqVjHNEyeOlzmw18O+Z6bW8xNTTDfFtjSS6d/MSIJWWgUOXU+YbHn89ZXDAi9cR7f7/L0oYCTS302r+9zw4U+W9ZISo5JxbXxA73TqmSCawdcuSmgda2Haft85ek29zxd4OipMo2eYq0X4gcJYWgSRQoSe6js2zoT8dPfscB7bjc51ynipOZI2mZDp+V1+5K+Z+D7Jp4fY8qEiguz4wZb1hko5XF6IUQpSbObsGtDzL6ToNwtfNsrr1m+8JILfw7R+oAQ099MiH1zAQ6wfd0YSRx8aN3EVUtnz53bMjGz8X8KHjBbXd2f7fUVPj4Hjye4lsv6GUWjo9h3zKZgCUpOQjFtCxZdKBViyoWAasmjUmzzF3cLPviFSSaKJrPVmPGKZLxmMlk3mB6LmZnw2DjbQqoGf/x5xZefrNFsulQdA7coWDstqRZ1qK1lpJF9saDTh+V2zNETBQ6d8Ni+sc8bbzjPy66oEUUFHnqhwuGdDbau9Xj2sMmXn7K5cSeUCxE37vaJowoHTsesm+2xa12Bh58t8JWnPITV4Xtf47FzrUkcjdNsWBxpKTp9MXTJMg1wbEG1FDNR9ag4A77rhjavuLTF3U93+dPPjNM87bIlCImihCTRQyghLAxVwDZD3vaa8xxdXOJDdzhUenJot2Fbkq5t0Okr2j2Tnuewc32Hpw7EuLbJ3JTiwi0N9p8KcV2HgQ+uHfLsIXj5yy4PxivWuzZsueZQEBQ+axjfdHh98wEOIKQZ3/7lw7c7M2+21hSe6jmW+IOnnnladHqenK7HmCY8fTBksR2RJNDswr1PlxhzoVqUVIoG5aKgVEgouXpSOVbtcWLB46/vq2HIArO1mLGylgJMVDW456YGrJloMoiW+bM7HT7x1XFqtsnFc4LpuqJeUdTLgnIRqqWYcjHENvQGuh9KOj3FuSWbw6dtTpxx+MDn21y8pc3uHZK+7/D0fovvuqXJeHWcc+0CcbqtXi44zC8pziwPePOlgmcOVHjqkMcVFy1zyWaJa9TZe8jiyGnJ2SVNBfxQu07ZBlQKUCkKSgVFvewyXnWYHiuybqbLd12/jEwW+LO7ahxdKhLFuqeode4Ky7SxrSKVUoXvuqnJfU91mF+oUnG0bsW2wqEEtmCbtLouN17c5bMPhQjhMF6LKLpNziyUaHclE7UAVXDjq664NLn4om0/sWP7tvcTH/eF+saN3/8uj28JgAO84dbNPLVnj+844x9SyZavhFbvu8bshf9mqsOMlwtUK7p6WVbAgdMx3a7DurpgvKo39GslrVspuQHlgo+Ufb70tOLg6Qprqwn1IlTLBvWqwWQ9YXbCY26yyaMHWvz+p2t02xW2jEnWTUqmx0ymxiUzYyFTYwPGaz0WW30e2qcYhAaGqYhCCIOY3Zsidm8vcPBEkWcP1bnrkT7X7e5x+U7Blx6v8MkH+sxOxoQSTCNgEFs8e6REoxHxpls61As17n48YueWNjddZPH84SrPHoQXzoTMjLe5eNuArm/ixQLHiEiiiIefd3nmRIGpcshUVTJVM1hoWiy1TNbP2Hz71cvccuk87/mUz1PP1VM7ugBDmTiWgevYnF8qs3m6xy2XNfmLu4o0+wrXjrH6MUoFWploKE7PF5iZdLhg3YDlxQJRJFhuKZYbLn7kMTs1yxUX1X5ZuFs/Mj0+deLs6XP+7Nwl32w4DR/fMgAHuPSiiwD6v/Sbf7l/75nLf/2Gnc9ZC4vFX1pbParmaiHrpwQFt8e9D9kUlM2mWYM1Uyb1SkLZjSilgqxSwcMLfR7aW0JFNhPlmGpRUispxiqCiZrP2uk2ZxpN/udfVxj0auyahXVTBnNTJuum9PZ3tdxi70mP99/tcHahTLOpUMrAsRSChCgK2XsopFyOuGL7Ai+/usDcpMv9zyu8wKNStJksRayZ6HHlzjYHj40xUzN5/jgsLQfMTJQ468VMjA24bIvJnQ+X2HfCZ91sh7e9NqZeMpgou/ih5t4FO8Q0fW7ePeDMUpvPP+rw3NEiZ5YjNnQMOj2Tvu/i+YrtGwQ/993L/OTvWxybL+GaEZal+/xF16Ts6qp/3QUtPvFVj7ZXpOrpFiBoW4cgMAGLsUqV6y9a5q/v9Dl+1iUSJSJp8tZXz0WTU6V3775q26+3Tr4QVSdu+mZD6EWPb5ia8B/yuPfOj/H2t9+S/NyPvuMrX/jMX9hHzoqrm0tdY/fWNgudRW6/Z4yrttpcvFWwZc5jcszX1cfU8tdyccD+Ux5/9eUqrnSYq8NkzWRqzGB2ImL9dJdicZFPPKh4dv84O2cEm2ZNNqyx2L4+YPvGZQ6fb/LheyUf+1KdxC+xpuZwySaLS7cYXLJZcMlmwYUbFVNVEyKbvUcdTiz6rJn02TBp8uxhm67XZeuspOTAxtkBJ86btLoms3XFzJhkdjxh41yT54+b9LsOjX6Pay702DZbYGGpzP5jBR57weG5IxYHj1scOeVyZqGEosjchM2rr/BYM9VhvhOx75hBHGrrtTgxSRKL6VpEz+vy2CEbERm4ZoJlKSxD4tjg2hG1cpdHDprML7sULZAkDPyEpU7CcieiPxCAzdU7Bzx7vM9iw+WiLZX+DVddcGTHJf/6/23feet/PvGvbkqmN//INxs2L/n4lgQ4wJ2f+QRJ0mTfQeNLF16wuXjlxVPRCycOnHhknz1nBkJetkNgmG1QHWYmelhKEYQGQiYUHY+H90Z88p4amyYVMzXBZN1kehzmJgesX7PMnU/5/MHHp9k6YbBp1mD9rMmODT47Ns3z/Mkuv/fRGo3FKpdtsrjiAoNLt0ds39SnVOzSCQJsu4/rDDDNCNuJ2bUhxMBm7zHFBRv7rB232TonOb0YMjUWYKqQ54+MsdiW3L/PY/10mkIsYONMn01reowVXQ6dLLLnSIwXeSz1YpphRCwCbKPPqQWPA6cSTs9LFpZtBl6RizYYXLury75TPs8dM5CJji0RQm/0v+zSDsfnPZ46XKBkkerE9ZaUbcXs3NjmyUOKIyeL1Fy9Dd/yoBXFTE6GFOwBrZbEtRQ7t1lhYtcf3HXJG+90jfa3jU1f+qXWz/5Csm7j9d9suHzNx7cURVn9EGLYP/3Ffc9+iNfceEn5gk3BHz/73Px3R+FBeft9EVvWuZxc8Nk6LWj3DCpFg0qxD3KAY0sqLpQKikpJUiuFjFV7HD7b41MPVJkqWqybFKyZNNm6NmTHhnmePNbjjz81yXShwMWbFRdtialWWhw+N+C5PXB20eDskstYSVF00kSGJGLn+i6b5zyUKnFuKaFeHHB83sJx4ZG9Flft1F2KJIGK3UElLvfuMfjelwlOnysRhQ0OnpAcOR+yZTZkx7o4NcbX+ppaGc41I04v9TgzH/PMsQLHz7vML5e5ZJvNj75+kf/72SZ7DlRRUo/vHdulWhrjTdfNs/90h/lGhVoxolKKaHV1l6TTswkjRcmCiYqkXITCIGbD2oD14zGbZgbcv8egl2yLLWvdR2fWF37k6Nmz7R/7vu8HvrFS13+Mx7dsBV/9+P0//AT/7qd/26/UL/rq9s2lIAw7S5P18QtscYZOt8Cx89BsG3i+Qa0Scb4V8OS+IlunJVPjFlPjMDvus3F2mT/+vOD+p8a5cA7Wz1hsWZewdd0STx7p8f7PjVMzi1y5w+DSHT5OYZEvPxNx7xNFYr/KRRstLtkSc9nWHrOTPc4sG6ybksjEQYiIhIR7nzOYmxAcPa24YEOPTtdm39kClkwYryRctjUgweB8K2TjlOLIWYNta32OnLWRhknJUjTb4NoeDz4fseeIxYlzJp12gQvmDC7fEWK7HgdPB5xfVASBxXjF5rpdA+Y7HofPWNgKHMvAMhWXbvVRqssXHytTd0kdCwwKtmCi5nHf84p+x+GC9SZzU7B+xkNEJifmI+rjF1Ifn/3kxbtv/NgrrrvsVzbPjjVefsO132w4/K0f39IVfPVj46YNAAu9xun/fNu3XbTh4cef5ek9M2+S55/kkT1tXnlFwPGzBTo9ScmJmawoJmoGY1VJtRhSL3ssdgYcPF1lXU0wUVVMjUt2rG/T9tr85Z1lrKjA7h0Gl2z3eOHUMvc9o7BVlVsuMrhgc49mf8BTBywmSgpDwbHzUHQjpioh5xoJZTdGyTL1UofJiuCpAxJDSnzfJHED4gSUNCg58LqrWyw1J1jqK4RwkTJhZqyLP7ColAVrp2PWLhhIlTBW6fP0QcHH7nW4cH2di7d57HzDEvc/O+CZw+MoaXPdJXW+7xXz/MZfdtl/qkK9HDFWMTmzUGbbbI9atc9Sp0CtFLPcDDnvGiw0iviDLmUXJuoxB04H3HppnxNxnbfcdCVjM1s/OVa97KeCoHWsXJ38ZkPg7/z4Z1PB8493//r/5tVvflczNtY8vmbc/ers3IbZiUp5w9Fzi5yb99myLubLTyrGnAIXbjaYqMdUChEz4z2ePe7xqXvrbBxXbJix2L4+olhY5mP3Sc6crbB7s82VOwPWTJ/jr++2EdEYr7la4BQ7PLwv5OTZAmNlEylhuQPrJwUbJkOqxYD79xaplRIcJbl0e4tmx2DPSZepiqRoxbgWhJEgBuJIsm7S4+DpAgfPBMzWTKIk5uINHs8ctmn3FQNPX5ieLwh8i23rFBvXdDh6LuDQySLb1tjMTfW449EYb2Bgmzbrp6Ba7rDvhEJEhhaRuYLNa/s8fRROn3epONqCrjcQ2JbB7HifQ6dsdm3wmJmC9etv4Ibrr7mnWtv0M5devOnPxur9I5MTc//Qt+2b8vhnVcHzjxsuqQMc7HvJQSHZ4yo5W5rc8Ude44WtB04+qBYXC7z6yhDHGQAWhtKOUHEicQyDekkyVpXMTXZ54nDIvU9WuGitxbb1CfVakz+7y8YUFV55XYLhdvnMg4qJQpFXXtXl5HzE/c9YXLkDKsUB55sWjg2TZYOJikfR8HnqsF7unalJxisxIolIpKDTAi/Vd5SXXCwVccWWFicXJ+h4gsWGYKLi41gJx+cdqkXF1Ts87t0T8+xhg1dcUeHmy7rc/mCH2x8o8eqrxnnrK5f4xL0WB04opsdKvOySDvtP9nl2n8u6VsxSy8TzXJQIdRhVBFJENAYR9z1j8aqrXXZu9li38bropus2HNx7yPm3F150wxlgf94V95/j458twLOHawuA/c8fauy/cDx6TTxw5nbsuvSj9fr9lUH/cPHwkYALt3TYe9xCKZOiGTNZgrGqyUQtxra7LLVjqo7F+inFlrU9/vqrIfuP1HjV5QahaPP5+wUbJ1zWzPjc9SSsH3e4aENE0RVESUSz49AdSLat8QhCH9M0eHR/lV1rE2aqAbPjId1+yNmGouyGnF4q0unHlFwLKSWXbJA8+kKAbXocOFNiogaOTFhse/R6iueOOhQtuPWKLi8ct1k7WeY7bmzwpUcjntxf5VXXFDGtZT51t8X6aYu102UmKi280GehoVhomCw1XQK/zUwNtm5ION8IuWCdpBMKQuOS7k/+0HWt5Vb8lvr0+lM3z8lj/9yBnT3+2QM8e+zaUqPdi4/ZztiJdqN7Ybsvr/WDG/54/aYjpXsf3187dOg8k1Wfh/fbTFcFG2dhaizg9BI89HyRWtFk05qEc80OLxx32DlnsmXdgAef9ygbNTavG/DQXpirFZiZ8NlzJCRqFji1YHL5Fo9WL2KiFvDph4tsmISpcsJkNSIMfY6cMxEiZqZqsvdYgcnqgOlKyHy7iO9LpmouaydC1k97fPohF9OEU12b3VsHnJmHYmHAsTOKSqHM7m1tHnleMFkvsX1ji4ee9lh/tMQFm7o8ONnm6JkxLtpsc/VOwWMvRMw3I46dFcyMm7ziUo/Hn4dbLhMYbq1tF3cvXXbpZiOK5Q+XSjseWr+p2IQoFuJfDCxyoeT/Ah7lgsSSIt57or3slNfc8dE7n994882v+9kf+4EffO7WG658UjkzTx1f3Di4cGuRmckFev0+YRTjmJKJimLNpM+Z5QQZO2xdJ+j5fQ6fLnHNhTFx1GOuJoiTgCNnFKeXymyd6bOmFrNmssvhMwaPHrCYKCvGy5KZakCloI34zy67LLYcqsWQhY5BpWQwVVMMvJBu3+dsw2KhZbHYdLl6e5etsx4nFkPOLRkcOGsxU5VsnElQ0uPsooMyAh56zmDztINbGHDwJIi4yORYxOnFiIWG9gk0ZIxlhRxb7HJyscQVF8wMtmycemrjluufe81r3vHu3/mjj20plyvbZ9dM3VGunFsWQvyLAjf8C6rg+ceNu2cB4mYnREr5XssavM9QCtwL1fd9e+kPpqvd7Y8+u//GmtlQS+cCeh2TS+YiEvo8uS9muqKYnQh4+IWEjZMmzX6fvUcLXL494tApwfZ1A4iKJKqPkDaPH7QoFwyUoRgvRkxUQ6LI4/BZh8UmzFQj4libjA6ihGZP0Y3h4o0DlhoJp1tl4jDGsWwcSxEEgiu3dSEukIg+R87aHF+I2L054NApwZUXwN6jPU6cdbl0W4NH90TMLztcu7PBgUN9Dp5wufUaxeXbA5Jwmisur0SOu/2+uY2F/d9W77xTiCgyTZdP//lvJlZxc++b/X59Ix//IgGePaql4a+XbZKE+44s/4hQdn3txqv+e+P0F6xPfTWINm+cuvyyi8UVjn2Qc4sBmyZDDKPPuUWTq3ZE+HHImnGLYsFj06zDUg/qlZi7n6hw0XrJsfMuW2cDlIopOgHLHZ3u2w8tzjQsNk2H9P3UoDOO8YOEnifZtt4gCiMct8tCQ3B0vkDJVhhSsWXO5vhZg1dd2uOZgw7Vos+R0y7tQcDpeYdEDDhyBi7faTAI+ywsm2xa28e0p7CKaymVB49v3bDwxHx7q7rlllv98bH6fwR/ebOY+ma/Lf+kj3/RAH+pxwWb6gDLwI8BPPzQfSSJuLla7L/alOve8jPvWN7R7VgcOvEUBVtSdAYcORozWenz+F6Dy7ZHPHvE5aodAZNlxdrJPgLBzETI+YZkuZNwfMHi6FnFFdsSvIHCtSOiWHv6JUlMECT0fcVy26TRFly6PcAxYxAD/ADOLJuYpsGJxYTp8QLnW3DVBSZ7DsMlWyKOn9F8/+BSiKEKXHtRyPS6K4jc3dz28rEXZqfqH1Vl+4vbtib3vP2mm3jXv/tmv+rfvMf/5wC++nHNtTcC3OP1l+4B7t20bbBlfqEZP/H/jscX7prYdOWVpV+IzXMk0qIfnePY2bOIyOTZIwGe77DnOHgDQds3aHUNGh3F9BhMVg0q7oC2I3HsCD9ITXMSPYLv+ILuQNLqG8w3FP1ByAVrIxod7bhbcQ1Kjo8hHTbPLNPrFhkvd3Htaa64ZBIvFEysX8tYff7XLfv4kR0X3SBLlbq83jEPAXfMTNe/2S/tt8Tj//MAzx62OwZwR/bfSXIYsGrz82ce7Pcdmn03uPyiC3+60Q1flcSCjh9wZP9TnF5sYBoGPU/7ISoRUXNaeFZCwepjqQRD9hEYJLGH73v0B7DcEzS7MQstWGwmnG8IHLuAMgxmx0PAoFQckIhp3vRtryCICggR0eq6dyrR+u2lljDXbtpBqTZ7TxT6jd3bZ7/ZL+G35OP/D/Cv8RBiM0AD+DRAu3EGIdjX7UfTcUzcD0K8xmH6XheFSSJiiAbBjbdc86uS+defPi+CddN9KhMOa6d61LsG4xWfqy9zmagIZnsGGyfAGROsHY8pTljm7ETlMwdeePhXpXTNBKWNLM06s2uvJLVbkF5gnENw5JXrZ77ZL9E/i8e/jG7+t8hj//MPAmK62TxSPX0uSWYnPBYaDtNjPdo9g2op5P49NtWCdoGdrQnOtARz1YTmwBbrZtc0kyQ596pb//mImb7VH/8/yEQ6Gim7s0EAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTY6NDM6MjIrMDA6MDDwXsXnAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE2OjQzOjIyKzAwOjAwgQN9WwAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 12}

Column	Type
hecke_orbit_code	bigint
n	integer
trace_an	numeric

mf_hecke_traces • Show schema

id: 14608000
{'hecke_orbit_code': 201326593, 'n': 1, 'trace_an': 1}
id: 14608001
{'hecke_orbit_code': 201326593, 'n': 2, 'trace_an': -24}
id: 14608002
{'hecke_orbit_code': 201326593, 'n': 3, 'trace_an': 252}
id: 14608003
{'hecke_orbit_code': 201326593, 'n': 4, 'trace_an': -1472}
id: 14608004
{'hecke_orbit_code': 201326593, 'n': 5, 'trace_an': 4830}
id: 14608005
{'hecke_orbit_code': 201326593, 'n': 6, 'trace_an': -6048}
id: 14608006
{'hecke_orbit_code': 201326593, 'n': 7, 'trace_an': -16744}
id: 14608007
{'hecke_orbit_code': 201326593, 'n': 8, 'trace_an': 84480}
id: 14608008
{'hecke_orbit_code': 201326593, 'n': 9, 'trace_an': -113643}
id: 14608009
{'hecke_orbit_code': 201326593, 'n': 10, 'trace_an': -115920}
id: 14608010
{'hecke_orbit_code': 201326593, 'n': 11, 'trace_an': 534612}
id: 14608011
{'hecke_orbit_code': 201326593, 'n': 12, 'trace_an': -370944}
id: 14608012
{'hecke_orbit_code': 201326593, 'n': 13, 'trace_an': -577738}
id: 14608013
{'hecke_orbit_code': 201326593, 'n': 14, 'trace_an': 401856}
id: 14608014
{'hecke_orbit_code': 201326593, 'n': 15, 'trace_an': 1217160}
id: 14608015
{'hecke_orbit_code': 201326593, 'n': 16, 'trace_an': 987136}
id: 14608016
{'hecke_orbit_code': 201326593, 'n': 17, 'trace_an': -6905934}
id: 14608017
{'hecke_orbit_code': 201326593, 'n': 18, 'trace_an': 2727432}
id: 14608018
{'hecke_orbit_code': 201326593, 'n': 19, 'trace_an': 10661420}
id: 14608019
{'hecke_orbit_code': 201326593, 'n': 20, 'trace_an': -7109760}
id: 14608020
{'hecke_orbit_code': 201326593, 'n': 21, 'trace_an': -4219488}
id: 14608021
{'hecke_orbit_code': 201326593, 'n': 22, 'trace_an': -12830688}
id: 14608022
{'hecke_orbit_code': 201326593, 'n': 23, 'trace_an': 18643272}
id: 14608023
{'hecke_orbit_code': 201326593, 'n': 24, 'trace_an': 21288960}
id: 14608024
{'hecke_orbit_code': 201326593, 'n': 25, 'trace_an': -25499225}
id: 14608025
{'hecke_orbit_code': 201326593, 'n': 26, 'trace_an': 13865712}
id: 14608026
{'hecke_orbit_code': 201326593, 'n': 27, 'trace_an': -73279080}
id: 14608027
{'hecke_orbit_code': 201326593, 'n': 28, 'trace_an': 24647168}
id: 14608028
{'hecke_orbit_code': 201326593, 'n': 29, 'trace_an': 128406630}
id: 14608029
{'hecke_orbit_code': 201326593, 'n': 30, 'trace_an': -29211840}
id: 14608030
{'hecke_orbit_code': 201326593, 'n': 31, 'trace_an': -52843168}
id: 14608031
{'hecke_orbit_code': 201326593, 'n': 32, 'trace_an': -196706304}
id: 14608032
{'hecke_orbit_code': 201326593, 'n': 33, 'trace_an': 134722224}
id: 14608033
{'hecke_orbit_code': 201326593, 'n': 34, 'trace_an': 165742416}
id: 14608034
{'hecke_orbit_code': 201326593, 'n': 35, 'trace_an': -80873520}
id: 14608035
{'hecke_orbit_code': 201326593, 'n': 36, 'trace_an': 167282496}
id: 14608036
{'hecke_orbit_code': 201326593, 'n': 37, 'trace_an': -182213314}
id: 14608037
{'hecke_orbit_code': 201326593, 'n': 38, 'trace_an': -255874080}
id: 14608038
{'hecke_orbit_code': 201326593, 'n': 39, 'trace_an': -145589976}
id: 14608039
{'hecke_orbit_code': 201326593, 'n': 40, 'trace_an': 408038400}
id: 14608040
{'hecke_orbit_code': 201326593, 'n': 41, 'trace_an': 308120442}
id: 14608041
{'hecke_orbit_code': 201326593, 'n': 42, 'trace_an': 101267712}
id: 14608042
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id: 14608994
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id: 14608995
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id: 14608996
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id: 14608997
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id: 14608998
{'hecke_orbit_code': 201326593, 'n': 999, 'trace_an': 13352424013671120}
id: 14608999
{'hecke_orbit_code': 201326593, 'n': 1000, 'trace_an': -30328412970240000}

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.