LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2026-10-23T02:51:27.941104

Column	Type
Nk2	integer
analytic_conductor	double precision
analytic_rank	smallint
analytic_rank_proved	boolean
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]
atkin_lehner_string	text
char_conductor	integer
char_degree	integer
char_is_minimal	boolean
char_is_real	boolean
char_orbit_index	smallint
char_orbit_label	text
char_order	integer
char_parity	smallint
char_values	jsonb
cm_discs	integer[]
conrey_index	integer
dim	integer
embedded_related_objects	text[]
field_disc	numeric
field_disc_factorization	numeric[]
field_poly	numeric[]
field_poly_is_cyclotomic	boolean
field_poly_is_real_cyclotomic	boolean
field_poly_root_of_unity	integer
fricke_eigenval	smallint
has_non_self_twist	smallint
hecke_cutters	jsonb
hecke_orbit	integer
hecke_orbit_code	bigint
hecke_ring_generator_nbound	integer
hecke_ring_index	numeric
hecke_ring_index_factorization	numeric[]
hecke_ring_index_proved	boolean
inner_twist_count	integer
inner_twists	integer[]
is_cm	boolean
is_largest	boolean
is_maximal	boolean
is_polredabs	boolean
is_rm	boolean
is_self_dual	boolean
is_self_twist	boolean
is_twist_minimal	boolean
label	text
level	integer
level_is_powerful	boolean
level_is_prime	boolean
level_is_prime_power	boolean
level_is_prime_square	boolean
level_is_square	boolean
level_is_squarefree	boolean
level_primes	integer[]
level_radical	integer
minimal_twist	text
nf_label	text
prim_orbit_index	smallint
projective_field	numeric[]
projective_field_label	text
projective_image	text
projective_image_type	text
qexp_display	text
related_objects	text[]
relative_dim	integer
rm_discs	integer[]
sato_tate_group	text
self_twist_discs	integer[]
self_twist_type	smallint
space_label	text
trace_display	numeric[]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]
weight	smallint
weight_parity	smallint

mf_newforms • Show schema

{'Nk2': 18432, 'analytic_conductor': 36.795065251406, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4608, 1, [3583, 2053, 4097], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [2, 4, 1]], [7, [2, 4, 1]], [11, [-2, 1]], [17, [-28, -4, 1]], [23, [8, -8, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 33559040, 'hecke_ring_generator_nbound': 5, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4608.2.a.a', 'level': 4608, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '1536.2.a.b', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-2+\\beta )q^{5}+(-2-\\beta )q^{7}+2q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4608.2.a', 'trace_display': [0, 0, -4, -4], 'trace_hash': 67577992298361281, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '1.945', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '9.369', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.364', 'prec': 10}, {'__RealLiteral__': 0, 'data': '63.975', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.025', 'prec': 7}, 'traces': [2, 0, 0, 0, -4, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 8, 0, 2, 0, 0, 0, -4, 0, -12, 0, 0, 0, 4, 0, -8, 0, 0, 0, 12, 0, 8, 0, 0, 0, 8, 0, -2, 0, 0, 0, -4, 0, -8, 0, 0, 0, -8, 0, -8, 0, 0, 0, 8, 0, 16, 0, 0, 0, 24, 0, 8, 0, 0, 0, -8, 0, -20, 0, 0, 0, -4, 0, -24, 0, 0, 0, -4, 0, -8, 0, 0, 0, 16, 0, 4, 0, 0, 0, 4, 0, -4, 0, 0, 0, -8, 0, -32, 0, 0, 0, -12, 0, -24, 0, 0, 0, 8, 0, -14, 0, 0, 0, 0, 0, 12, 0, 0, 0, -8, 0, -16, 0, 0, 0, -20, 0, -16, 0, 0, 0, 0, 0, 12, 0, 0, 0, -20, 0, -12, 0, 0, 0, 28, 0, -40, 0, 0, 0, -8, 0, -24, 0, 0, 0, -32, 0, -10, 0, 0, 0, -12, 0, 12, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -32, 0, 0, 0, -20, 0, -4, 0, 0, 0, 4, 0, -8, 0, 0, 0, 0, 0, 16, 0, 0, 0, -32, 0, 20, 0, 0, 0, -32, 0, 4, 0, 0, 0, 36, 0, -16, 0, 0, 0, 4, 0, 8, 0, 0, 0, 0, 0, -24, 0, 0, 0, 20, 0, 32, 0, 0, 0, -44, 0, 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0, 0, 0, -80, 0, 56, 0, 0, 0, -12, 0, 8, 0, 0, 0, -128, 0, 16, 0, 0, 0, -20, 0, -32, 0, 0, 0, -64, 0, 64, 0, 0, 0, 80, 0, 12, 0, 0, 0, 8, 0, -32, 0, 0, 0, 20, 0, -56, 0, 0, 0, -24, 0, -8, 0, 0, 0, -20, 0, 112, 0, 0, 0, -40, 0, -120, 0, 0, 0, 120, 0, 32, 0, 0, 0, 32, 0, 36, 0, 0, 0, -8, 0, 112, 0, 0, 0, 68, 0, 120, 0, 0, 0, -128, 0, -72, 0, 0, 0, 64, 0, 80, 0, 0, 0, -140, 0, 8, 0, 0, 0, -28, 0, -8, 0, 0, 0, -100, 0, -24, 0, 0, 0, -88, 0, -48, 0, 0, 0, 72, 0, 0, 0, 0, 0, -12, 0, -56, 0, 0, 0, -16, 0, -56, 0, 0, 0, -8, 0], 'weight': 2, 'weight_parity': 1}

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

mf_hecke_cc • Show schema

{'an_normalized': [[1.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.26197165896624003, 0.0], [0.0, 0.0], [-1.2904514298433032, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.6030226891555273, 0.0], [0.0, 0.0], [0.7844645405527362, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.8869174310674047, 0.0], [0.0, 0.0], [1.2977713690461004, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.2442898316087105, 0.0], [0.0, 0.0], [-0.9313708498984761, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.10877781063465862, 0.0], [0.0, 0.0], [-0.8236315581602685, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.3380617018914066, 0.0], [0.0, 0.0], [-1.5875770591719833, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.8204947799304088, 0.0], [0.0, 0.0], [-0.2526679042970887, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.8211654615021302, 0.0], [0.0, 0.0], [0.6652648927846257, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.6345213351975478, 0.0], [0.0, 0.0], [-0.15797485427235675, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.5207556439232954, 0.0], [0.0, 0.0], [-1.236433488071732, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.20550747708878955, 0.0], [0.0, 0.0], [0.9773555548504418, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.0884654465139483, 0.0], [0.0, 0.0], [-0.1939201220973721, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.7781714914487039, 0.0], [0.0, 0.0], [-0.6477535304205859, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.0223123211507519, 0.0], [0.0, 0.0], [0.23234723078280384, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.211999576001272, 0.0], [0.0, 0.0], [-1.0123133880176483, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.3399793185078954, 0.0], [0.0, 0.0], [1.3518022868151047, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0]], 'angles': [None, None, -0.2709071203693054, -0.36161833585485065, -0.20125444273946583, -0.18585147425055992, -0.3231243609079343, -0.13761766706582093, -0.2305113667210063, -0.25866053658023, -0.3175526398609415, -0.39594716253505197, -0.06794566277358738, -0.27016054543377305, -0.06781665219446538, -0.4022541910654072, -0.2919235609372406, -0.35607230082712227, -0.16873968690326727, -0.15841042720100998, -0.2654559553789532, -0.30249316121286784, -0.16460868959957603, -0.26690214353194186, -0.1318773102290618, -0.08093511772046584, -0.32373591180614186, -0.3826383946286496, -0.3586373900092893, -0.2955347852630818, -0.2982436897811377, -0.2779543757964231, -0.2797000933866674, -0.4027588117344781, -0.34913924690862536, -0.279872283836636, -0.3970772213008454, -0.28995512207118157, -0.40811681396837907, -0.37608906428282973, -0.2738811103123127, -0.19893854079285866, -0.3552149011194077, -0.39224998068336697, -0.26663632909608315, -0.1702290444895335, -0.134257257089891, -0.29260257557112584, -0.03719906739151551, -0.34167615410001034, -0.2993417138871223, -0.1575296263976879, -0.3462745974495949, -0.3721460127443246, -0.24347704810073043, -0.3191707096093811, -0.2195253022912475, -0.14962994173495672, -0.2862429054131529, -0.24049997174152574, -0.3252076730128824, -0.40161863842086415, -0.17453637368355043, -0.19802904294017978, -0.17038790160407596, -0.272742537386262, -0.25, -0.15324491430627424, -0.13110802400977647, -0.2529235496061747, -0.19235812191496565, -0.3184451342446867, -0.14893336446922703, -0.35820549329619333, -0.17192637056416177, -0.33213077696137755, -0.15465530693924892, -0.2660024646726601, -0.10492755142642242, -0.24482984125506183, -0.2551080683128615, -0.1592932551149715, -0.08960368379329171, -0.3154135642740757, -0.1880616474528768, -0.36552049600972714, -0.22108594854823574, -0.31635563642381226, -0.20904364114719598, -0.25904216542004, -0.284568006529644, -0.26633710201344263, -0.2299105027107864, -0.25246476416089486, -0.33737569444662263, -0.26594124540446934, -0.33600260627572076, -0.2113747069010183, -0.34768437630542237, -0.2677301666687754], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.4142135623730951, 'hecke_orbit': 1, 'hecke_orbit_code': 33559040, 'label': '4608.2.a.a.1.2', 'level': 4608, 'weight': 2}

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

mf_newspaces • Show schema

{'ALdims': [16, 26, 16, 22], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [31, 32, 32, 32], 'ALdims_old': [153, 150, 168, 154], 'Nk2': 18432, 'analytic_conductor': 36.795065251406, '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': [4608, 1, [3583, 2053, 4097], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 705, 'dim': 80, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 17, 23], 'hecke_orbit_code': 33559040, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '4608.2.a', 'level': 4608, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 832, 'mf_new_dim': 80, 'num_forms': 29, 'plus_dim': 38, 'prim_orbit_index': 1, 'relative_dim': 80, 'sturm_bound': 1536, 'trace_bound': 25, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -512, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}

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

mf_twists_cc • Show schema

id: 70217
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 33559040, 'source_is_minimal': False, 'source_label': '4608.2.a.a.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 33559040, 'target_is_minimal': False, 'target_label': '4608.2.a.a.1.2', 'target_level': 4608, 'twist_class_label': '1536.2.a.b.1.2', 'twist_class_level': 1536, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
id: 70218
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 33559040, 'source_is_minimal': False, 'source_label': '4608.2.a.a.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543037952, 'target_is_minimal': True, 'target_label': '1536.2.a.e.1.1', 'target_level': 1536, 'twist_class_label': '1536.2.a.b.1.2', 'twist_class_level': 1536, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
id: 70219
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 33559040, 'source_is_minimal': False, 'source_label': '4608.2.a.a.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543041024, 'target_is_minimal': False, 'target_label': '4608.2.a.e.1.2', 'target_level': 4608, 'twist_class_label': '1536.2.a.b.1.2', 'twist_class_level': 1536, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 70220
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 33559040, 'source_is_minimal': False, 'source_label': '4608.2.a.a.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698857472, 'target_is_minimal': False, 'target_label': '4608.2.a.r.1.1', 'target_level': 4608, 'twist_class_label': '1536.2.a.b.1.2', 'twist_class_level': 1536, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 70221
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 33559040, 'source_is_minimal': False, 'source_label': '4608.2.a.a.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189375488, 'target_is_minimal': False, 'target_label': '4608.2.a.n.1.1', 'target_level': 4608, 'twist_class_label': '1536.2.a.b.1.2', 'twist_class_level': 1536, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
id: 70222
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 33559040, 'source_is_minimal': False, 'source_label': '4608.2.a.a.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934631424, 'target_is_minimal': True, 'target_label': '1536.2.a.l.1.1', 'target_level': 1536, 'twist_class_label': '1536.2.a.b.1.2', 'twist_class_level': 1536, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
id: 70223
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 33559040, 'source_is_minimal': False, 'source_label': '4608.2.a.a.1.2', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007405446730240, 'target_is_minimal': False, 'target_label': '4608.2.d.c.2305.3', 'target_level': 4608, 'twist_class_label': '1536.2.a.b.1.2', 'twist_class_level': 1536, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 70224
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 33559040, 'source_is_minimal': False, 'source_label': '4608.2.a.a.1.2', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050600975176192, 'target_is_minimal': False, 'target_label': '4608.2.d.o.2305.2', 'target_level': 4608, 'twist_class_label': '1536.2.a.b.1.2', 'twist_class_level': 1536, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
id: 70225
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 33559040, 'source_is_minimal': False, 'source_label': '4608.2.a.a.1.2', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007405446730240, 'target_is_minimal': False, 'target_label': '4608.2.d.c.2305.2', 'target_level': 4608, 'twist_class_label': '1536.2.a.b.1.2', 'twist_class_level': 1536, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
id: 70226
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 33559040, 'source_is_minimal': False, 'source_label': '4608.2.a.a.1.2', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050600975176192, 'target_is_minimal': False, 'target_label': '4608.2.d.o.2305.3', 'target_level': 4608, 'twist_class_label': '1536.2.a.b.1.2', 'twist_class_level': 1536, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
id: 70227
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 33559040, 'source_is_minimal': False, 'source_label': '4608.2.a.a.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597797778944, 'target_is_minimal': True, 'target_label': '1536.2.a.g.1.2', 'target_level': 1536, 'twist_class_label': '1536.2.a.b.1.2', 'twist_class_level': 1536, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
id: 70228
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 33559040, 'source_is_minimal': False, 'source_label': '4608.2.a.a.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599660926464, 'target_is_minimal': True, 'target_label': '1536.2.a.b.1.2', 'target_level': 1536, 'twist_class_label': '1536.2.a.b.1.2', 'twist_class_level': 1536, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
id: 70229
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 33559040, 'source_is_minimal': False, 'source_label': '4608.2.a.a.1.2', 'source_level': 4608, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518204328838656, 'target_is_minimal': False, 'target_label': '1536.2.d.f.769.3', 'target_level': 1536, 'twist_class_label': '1536.2.a.b.1.2', 'twist_class_level': 1536, 'twisting_char_label': '48.5', 'twisting_conrey_index': 5, 'weight': 2}
id: 70230
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 33559040, 'source_is_minimal': False, 'source_label': '4608.2.a.a.1.2', 'source_level': 4608, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191986176, 'target_is_minimal': False, 'target_label': '1536.2.d.a.769.1', 'target_level': 1536, 'twist_class_label': '1536.2.a.b.1.2', 'twist_class_level': 1536, 'twisting_char_label': '48.11', 'twisting_conrey_index': 11, 'weight': 2}
id: 70231
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 33559040, 'source_is_minimal': False, 'source_label': '4608.2.a.a.1.2', 'source_level': 4608, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518204328838656, 'target_is_minimal': False, 'target_label': '1536.2.d.f.769.2', 'target_level': 1536, 'twist_class_label': '1536.2.a.b.1.2', 'twist_class_level': 1536, 'twisting_char_label': '48.29', 'twisting_conrey_index': 29, 'weight': 2}
id: 70232
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 33559040, 'source_is_minimal': False, 'source_label': '4608.2.a.a.1.2', 'source_level': 4608, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 206191986176, 'target_is_minimal': False, 'target_label': '1536.2.d.a.769.4', 'target_level': 1536, 'twist_class_label': '1536.2.a.b.1.2', 'twist_class_level': 1536, 'twisting_char_label': '48.35', 'twisting_conrey_index': 35, 'weight': 2}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 3649700
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 33559040, 'p': 2}
id: 3649701
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 33559040, 'p': 3}
id: 3649702
{'charpoly_factorization': [[[2, 4, 1], 1]], 'hecke_orbit_code': 33559040, 'p': 5}
id: 3649703
{'charpoly_factorization': [[[2, 4, 1], 1]], 'hecke_orbit_code': 33559040, 'p': 7}
id: 3649704
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 33559040, 'p': 11}
id: 3649705
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 33559040, 'p': 13}
id: 3649706
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 33559040, 'p': 17}
id: 3649707
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 33559040, 'p': 19}
id: 3649708
{'charpoly_factorization': [[[8, -8, 1], 1]], 'hecke_orbit_code': 33559040, 'p': 23}
id: 3649709
{'charpoly_factorization': [[[2, 4, 1], 1]], 'hecke_orbit_code': 33559040, 'p': 29}
id: 3649710
{'charpoly_factorization': [[[34, 12, 1], 1]], 'hecke_orbit_code': 33559040, 'p': 31}
id: 3649711
{'charpoly_factorization': [[[-16, 8, 1], 1]], 'hecke_orbit_code': 33559040, 'p': 37}
id: 3649712
{'charpoly_factorization': [[[4, -12, 1], 1]], 'hecke_orbit_code': 33559040, 'p': 41}
id: 3649713
{'charpoly_factorization': [[[-16, -8, 1], 1]], 'hecke_orbit_code': 33559040, 'p': 43}
id: 3649714
{'charpoly_factorization': [[[-56, -8, 1], 1]], 'hecke_orbit_code': 33559040, 'p': 47}
id: 3649715
{'charpoly_factorization': [[[-94, 4, 1], 1]], 'hecke_orbit_code': 33559040, 'p': 53}
id: 3649716
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 33559040, 'p': 59}
id: 3649717
{'charpoly_factorization': [[[-16, 8, 1], 1]], 'hecke_orbit_code': 33559040, 'p': 61}
id: 3649718
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 33559040, 'p': 67}
id: 3649719
{'charpoly_factorization': [[[136, -24, 1], 1]], 'hecke_orbit_code': 33559040, 'p': 71}
id: 3649720
{'charpoly_factorization': [[[-16, -8, 1], 1]], 'hecke_orbit_code': 33559040, 'p': 73}
id: 3649721
{'charpoly_factorization': [[[82, 20, 1], 1]], 'hecke_orbit_code': 33559040, 'p': 79}
id: 3649722
{'charpoly_factorization': [[[-124, 4, 1], 1]], 'hecke_orbit_code': 33559040, 'p': 83}
id: 3649723
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 33559040, 'p': 89}
id: 3649724
{'charpoly_factorization': [[[-124, -4, 1], 1]], 'hecke_orbit_code': 33559040, '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': '4608.2.a.a', 'level': 4608, 'portrait': 'data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAAC4CAYAAABQMybHAAAABGdBTUEAALGPC/xhBQAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAAABmJLR0QA/wD/AP+gvaeTAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAAB3RJTUUH5AsHFQIguLPZTQAAABBjYU52AAAA1wAAANcAAAAQAAAADnCbpecAAIAASURBVHja7P13vG3XXd4Lf8cYs6y6++lHR0dHOuqymlUsW7It1+A4NjHGgIGQ0G4IJDfvGwKEkAAXAjhwaReCMbbBGIONbWxsS5YtybZ67+X03s+uq882xvvHmHXtLZlwzSsgWR8vr7K3zl5rzmc+4/k9vzIE//v2Lbt9+gv3IqXY8OyeI5MmMWbzrIvnSh4/2OOWV82IGy9tLdzzRMLm2cXZay85bp7es4WaJ9kwO6DVTISWO1fAnJ7dfDPAJmAZGAohXumv9g/25rzSH+Afym3foVMA52mdbDAIPRiGfOazf8XOzSfYvmmRmvI4cOyz0ZK55ueH/aV/6ggTHT/lsWFGEA1G9FZi7/jx+Q8fPS4QyegHj070w5On59k0C0dGIROtxB3Fh774O3+y6+dfOPY58Vu/8EO/dvr4wb+sxU8/3l/ZrQw+CCGVdE8DB+utza/0IfkHcfvf1PAStxf3ncWI2pRrDt4yWHoGJWR0fGny3/dG8i1SGMIo5oknnqJVX+aCzR2We4qjZ+qgA+IoZrpt2H3U47LzEk6elUxPxLSbPvtPOiQ6Yq4lOLEQcfkOzd6jkpkJjed51GoOB89Klvtw4fqYndumueiSV2FwcRQMQueruw6OfjMxifvG113OBdu33IMJloVc/0ofsr+Xt/8N8PS2vDyPgbe1msH5Bw/19C/8zqf0+982cV4/WP/T/e5+mjWPQ0dP0e0uEEYOSwNJYjxqrqHtG850Y/aeHLF5psZkXaFExNyEx85zFIMRCBlw/KzDKIQTCwKFxzCIOP8cw4bpPhJJsxGycV2P3YdnWFyu06wl+E7EYKTp9BVhHDM1PUeztRnlBFy28zye3r3wqzdceOrg1p3fL0MxKTevc/YDd0y0Z1/pQ/r34va/PMBffPY+pBC3LK2Eb312/8J3XHLe2YuCvseHP7uHGy9fZv6sy5H5AVtmFQ0f5iY1x5d8lDRIodk0lXDkTI1mw/D4/oBBIKh5sLAC5805NOo+G+Zibrm8ywsHJ3h8l+DFIzGvuSxh86ym2RScs2GZ+WVFzYdhYHhy9yytuuTAGY+N0yOkAE8lnFpUTDRjJAmb10fML7QYGs0brmxyZOlSaq2E171qcveppXWfjmL5FSG4521vef0rfYhf0dv/cgDv9Vao12rTp07P/7c//NOveHuPvpj8yDtr1ywtT1z757efZsO6w9x6ZZO7HptkqFd4yzUO9z1dY8fWIf2hy8klRRAJfCfmkq0J66cDFnuSpw9MEMWCnZtHnOkprtgxZO8hl+7IIQzgukv67DnWoF0P2XXc4YYLJWEU0B05PH1YctW5CZ2ey/lbQsJI8uxBwUKvxsYpuOicHp4jCSM4teTSC2Iu2OTyjacNt17bJxhOcvvDA15/7QpX7tjKo3s3szAcPP6+Wxee2Dh3pZrZ+vaw0Zr5T0kcLk1PTbzSp+D/r7d/9EHmgYOH8VxHfPoL9/HG60dKDu/4/f0HvQsfffLk644dOa5Onemy78gxNrTabJ5p8tT+WW65aolrLprgjkdbPLZ/wLkbDSfPOmxaZxicMETGEEQux+Yl62cChDDs3BLw4kEH3xuyY6PH6XmXqbbghksintmnefZAm0HUY9uGkFe5E5xYgKf31rlwW8w5s3DgjKDuRyAUe487GCKkCdk6Z2jVQYkQV7l0hrB1neLwScG1F/WYajT56nOC9kTEay5r88QLcN8TB9i6tXetCZxrX3zxECce+qvEb229ZCX29nzoz/7ix26+VCRzW2/B6Nis23DOK32K/k5v/ygBvrJ8EiWVHA27tc98/BeCN73rZ/9DkiTf95//x+HoZ79nz8U1MVnrL/u0PRgNJE/uhe97c5/Lz29xcrHGnY/7/PPXrXDljhnufsrj/K0DNky2OHwy5rqLQnYf85hsRoDk+cMNNk1rFpcdHngh4YF9cMU2wyVbJUs9wX0vSt54WcRkU7Hca3HslMNK16DckO9/+zJHTrdZ6QmuvnDEFefP4zLF6YU5js3DJedqhqHk0GmfqYbDruOSC7dCrye5cNsC2zfVuPsxj8OLQ95zi+bMwhS7DkMnSLjq/BCh6+w+NOCFA7vVvrMHX9+aGtzwf/8fjesSfY0bBMGfvuu7f/rXn3thnz89PTGK41ife84/PmfmH5VEiZMEIaU08eJkd+nAjcOR+tDevQfjhx7bN/P0i6fazx2JmZpb4D9/V4BJNvPM3jpP743Ye3rIW1/T4bUXN3lmzyT3PBsyOdPn22+SPLe7xX3PD7l4R8yW6TqYIcIRuNJh/ymHde2ETmBo1QKOnE144VhCS03xllf3WV5p8ciLhsu2Cy44JyGJBUfnXZJEc8EWwaXnRTzygmCpP+DN10rqzZPsOdzi8KkpGr6gN3CZnYg5cMrDcwKUVBjtsHXDEpduU9z71BSPH4x41y0d1jcnuffJGk8dGnDDlct826s99h+Z4+k9mmcORAxkn5/93rNsnlzHniOzLA/Xd1tT2xe3n3e+M0rkD19x2fkPbZxprYDRQshX+lR+y27/aBj89JlFTp1eOve+Jw9tOW9T/OlzardNHDrSax46BNHIoVWHjZOGZw9Pcf+u03z7jcts7Th0+g7doc+n724y0+pyxU6HUdjk/ucNn3tgwHte16FWa/HkPpdNM31m2h7Hzjh0hwmDwZDmepdIO0w3FZumJDdfNuSpfTGOFPhejN+Iefygotly2TIbEsSweQauunCezsAhiKeItMNzhyXP7N2Gr2r4XoIzGTAMYKI9ZDvQ7XscO5swMzlgbqLFVx7xeO5oyLtf32fLZJsHnqnx7KERl+xY5rvfkLD38BQHjguOn4051Ul4x+u7XHZOnV0Hm8wvC46cPN0+cupwezl4lOb6LX/5Wz897CRe9B2RvOT4aLB4uNaYeaVP6bfk9g8e4MYYgAu//JVvbNLC/eA9D+664Ocfukd95CdPMttaz+LkDIORw2DkMAw03RF87CvTbJpZ5MadDoPRLEHkMgwbPPJiSBgtc8VO8L0Gj+5WfPbeDpedu8Lrrmiy71ib+ZURdS9mbkqzc7Pi1KJiqSPp9hJa9QDfc9kyF3LotIsjh7z7Jocn9rhcvG2Fyckutz3ZoDv0mZ1o8uRej0vO6zEz4XL4rGDznEutFjFVS3AdiZSCx3dNM9EcUPcCzt+q8GSd+581NBorvOf10HIn+dpjHruPD7nioiWu2gHHTm5g10GXwycjXjhuuPbyZX7gzRHHz2zk9GKNhWVY6sR0BvDiiSETvYeb/aN3NM8O33ZP4qh9vYH5UWPMSWDPP/Qs6j9YgHdWlnAc54Ldu55/Vafb/3cHDx685Z6HXuC5gz0WRk0++IUWP/mdHTbN1RgGimHgMQpchoGhf7LObY80ec2li1x1oQKmMMbl6f1T/PGePu95Y5cbL46YnWzy+K4pvvrIiI2zIy7aJlg34XDgpMtgFNEfQKcvcBzD5tkElETKkOFAcmq5BrrOuomQ8zcPeOBZn4CYb39tRBI22H9cMjflsHlGoHXM/LJDdxQwjDx6fY+tswEz7RFKSRxHEEUOB47D3NSAG66I2TTlsPfIBPfvhpNLPa69osd3vT7h2MkNPLXHZ8+RmKcOJkSixzuuGzEaznL8TIPTi5L55YjFTszxJYmqjfi3375CzfE5tO9Jtdg7dZHXvuzrvZF7j+vWf3t5ZeWZOI73zc3+w/TV1Sv9Af42t+WFo/i+e+6JY3v+70MHdv3X++9/6Nzdew8wCkIcKQkCxfNHXLas73LTpRFR5BElDtoojBE4aI6e9ji8oDl3Y5cNU9Dwa9RcB4XD0wcUp1dGtNshl27XXLjFp9evcXxe4DkRkVGcXHY5Oa/phgLHcVg/GXNmWXP4lMdUSyJwWDcdsdQzXH7uCCkbnFpssHOzz94jPscWDJecG3BmSRLFLsNQceHWCCEMvYFk/WTM3HTAuukQV0JnoPB92LlFsLzc4u4n6uw7OWJ6usMbrhlyw4U+B46u4+k9Hi8cjDk4H9Ka7PCv3tbn0m0THDk1ydHTLifnE84sRhxdFOydN7zrtWf4wbfH9PvTnFma4MyCYe/+U7y4+/C5vUH8vlGQbJubnXvoX//rf7PyO7/9m6/0qf+fvv2DWn+iwS4ctzbXXTnx744eePry+YX+u3fvPcpS12e5C4udiIWVmDPLhkPLgpnZDj/znQtcv7PJoZMzHD3d4PhZxcmzCUdPRxyc1ziNPu95XZ93XOdx9PQMuw757D+u2XU0IpEjtq4Lec3lmm3rJEdPNzl2RrLU1YxijZQw1YK5iZilrkO3r5hqhzjCYaqdUPMjHtnlc94GzdxUzKmFOq7SnFjUrJsynLcx5OFdPp6nmGmBUhGzTVjuCxb7gnVtzXQ7QkoIQsVS1+HIGYej8zHbNoy48fKYLXMOJA12H2pw4LjhxSMJRxYD3nbTMv/8dQF1NcXhU1McPulw8mzCyYWIo/OGvfOGV186z0+9t8v6iSlOzE9yZqHG2WWXhRWYXwo5uzhi09bt1JpTn7vppmufO2/7lt8eDIbzN7xqxysNhb/x7R8MwP/w4x+lO/La29cv/+FrLzzwnSdP9OXComGp12Cx47KwIlnqJCyuhCx2Ek4tw755wYZ1y/zc+5d49QUtjpya4diZOifnHU7OJ5yYj9h9XOPUhrztxi5vvkpTdyY4frbF4ZMuB47D8cUE1xky0Uo421UMBjFJHCMQ+LU6W9e5XLAxZHIi4tSioNN3OH9TBAZCDUfO1OgNDe26oOEJJDG+n9BuJHQHHkfOQqA9tDFctCmkN0g4ueAw1XI5b1PMOev7NBsBQhrCUNAZ1JnveEw1BK50OXnWY/8JweHTMUcXY/z6gFuv7fNt14EvJ9lzpM3RM4pTGXPPG/YvGK65dJ6fe/8ym6YmOXJymlOLdeaXXRaWJUudmKVOxFI34exKTEiTqXVz+id/YPJT11/u/sjZRd294OIffaUh8Te6/b0G+NJyBx0bhORX7n9y32v+/Qf+XF53/snX/P5PHHUWVjaytNJmsdNgseOx2HFY7MBSJ2GpE7G4knB6BQ4sCuZmV/iF71vk1TsbHDszzcmzTU4uOJxZNJxeiDk+n3C2FzM5PeKmy/tcfxF4so6vfM4s1Ti14HB6STAIII41NU/TrCVMTcRo4MjpmG4ftq13adYDjBEgPPpDzTkbAhZXHDBWiqz0IYjBYFjqhGxe59IbKoQyCB3Qrrmcs3HEykBw5KRDoh1m2pJWTeC7EMeCQSA5vSQ5tWg4sxzj+yNwY264pM9rLhXMtessLrc5dsbn5AKcWYg5sxRzYgkOLBquuWSBX/y+ZTZMtjl6eprTi3Xmlz0WOpKllYTlbsRyN2Gpp1noSY51obO0wpd+qxfffFXtwaj+E9qpX/ogxvyMkAq/1n6lofKSt7+3QeYHP/IZpqcmOHl6/pc/+7l7/v2n73jSP35mRBwmPHtY8artXbR2SLQi0YJEg9YOxiissQJCJAhhOLg4xS/8meCX/9UZrtoe0qpP06y3aDd8Wg2XybbizKLi9LLD3Q/VuP2BmAu2DrjovJil5SEXbw34rrdqolghMHzx4RpnOzXqScDhU4p+v8UV5yec7cbs2uOyc6tk30m44ULo9CDUDr4TMtuEvSfqNOoRvoqZaAlWenDdxT0OHPfZuU1z6GTACwfsv+duHXHgjGGiFbDUDfnS3Q2MUCRJwi1XDrjxKsPpFZerdozYsckljtoMhnV2HaxxekEwv5xwdjnmzJLm6JLgTD/kyp2L/Jfv6TPXnuLIqUnOLNaZX3FZ7EiWOwmdXkSnn7AyMCwPBGeHkm4/4tpLu2xoLznLC5M3z3c/hT95842bt79eNxpTP/vCk3/FpVd/+ysNmTVvfy8Z/JOf+itufvW56jN3vPhfDh09/bPP7TqszixHzA8dTg0SLtt2lt/80Xmu3NHgzOIUi50GS50aSx2Xpa7Dcg+WOwnL3ZilXsxCB44tC5z6iBsvXeI7bw7Zvq7JSr/N2aU680seCx3BUkez2NEs9zTdoaYbGAajmJl2xDnrNSDwXcPxsy5C+mxbp9i+ybBp3YAzywHP7Gtx9QWGRn2Z5/dP02qGhKHLzJRmOIKLzxnxia9PcuHWmCAwzE5IomRIq+bzwuERdbfJlTtjnj0YcmbRY/OMz/aNcM6GEKUiji+A5xqEMGxbHzPVkvSGPv2BS3fgstRVLK3AYkez1ElY6CSc7sDiKOGczX2+85YFbrzIoea2ObXQZmG5xsKKw1JXsNzRrPQilnsJK33DYh9O9xRnVmJefeFpPvCji5y/ucFiZ4KllTrDoE2tvT3xGxt++fDSpb+4vnU4ed3r/9krDZ1Vt79XAN+/fw++X6vPnz1xzhNPvvjePftP/NKLe48RxpJBACtDwdmB4kQv5przTvMbP7rEFefVObs8xeJKg+VujaWuy3LXYbkLnZ5mpRez3ItZ6hrOdAQn+wZEn3e/tsPbX605b2ONMGyw3Kmx0vfo9BTLfUFvIBgFhjA2JAkoafBdqPuGybZh3XSE4444cCrkuf0+Om7y1utCHHeFJ3ZNcO5G+PKjMa+9zOdsZ0jNUcRJxPQUxJGL48YsLja46aouX36oxfaN8Pi+AJcGb3m1JhZDnjuQcOh4DUd6rJ9ymGoK6r7A8wRKQKwhjAyjEHoDw0pf0xtoVgaaxb5hmCRs2zLg7dd3ePdrQtAtFlcmOLtUZzEjgw6s9BI6/ZiVFNxLAzjVVcx3E67ZeYYP/OhZLtlWZ355kpVeg07fpzdw6A0ETm0L0tvwn9dv2vmX28/denQ0Gg0vvPDCVxpK+e3vDcD37d/P3Ow6b//+vT9w+NC+33/uuefE6fme7A0S+iNNf2ToDWFlKDk7lJzqRbz6/LP82g8tctX5NRZWJllcabLc9VnpeSz3HFZ6gk7P2CW3F9Ppa5b7hrM9wamOZmpywJuu6XHDRTHb1ivadZdur4bvSkARxhKtBdrAYAQIzVRrxL4TBm1C7ny8STCoc/5mjxsvHxDpFe59cpIrL3DZd7pPZ7nN9ZcPuPsJn/XThl1HDP/mXV12HfZZPy2560nFjRcrlgZdDh6b5sqdIfc+NyQOGtxwiceOrSOGcZ+vPqEgERw47tBuODgCBkOJNoJEG6IYkBrH03T6hmYrYuvGgNdcPOBNV8fMNGucWZpgcaXOctcem+WuoNOHTi+m04/p9BM6A8PSQHK6J1joxVx34Ty//EPzXLG9xvzKBCu9Bt2+T3fgWoAPLZEMI19fcsnlZufOC35sx44L/nhh/mx43o4LXmlIAX9PAJ4kkYzC4Tuefuz280/N6w88/PBjLsKWh/aHMYNRGeSCztBqw5OdmBsuPsuv/NA8V+/wWOlOML/cotOvsdLzWOk7dHqKzgB6fUN3ENPtJ/SHms7AMN8XzPchSgKuuGDIhumE/sDwtusDzt2giROJIw1hBPc8U+Po2Robp2KeP1AD3eCiLYqrLtT4tQFP7Bswv9Dk0nObtCeXeehZl2svqLE4WGF5uc2GDYZHdym+5w19HtvlsGWdy0K/w/LSNFddPOCh5xOm65Ncen6fs50Oj744Sd1pcs2Fhp3njED2eeaQYN10xJn5iHufcRlFCikh0YZzN4a86fqQXl+xaUpz1QUQhg2WOg2WOj4rfZfuQNHpS7p96A4Suv2E3iChO9CsDAxLQ8mJrqAzDLhx5zy/+IPLXHOBvTg6vTrdgU9v4NIbOvQGit5Q0hsKBsMErTWXX3FN1B2K//i+9/zT/c1m/Uu+7+pXGluveJAZBX3icPB9J48+/puLZ/ZOnzzeYWbSYRQKhDBorTD5b2sEVoNKaZDS4bG96/mZDzu868Yl3veGJbZvDjm92Mb36tR9j4bv0qw79OqS1tBlounYC2aYsD7QDANDb+SzNF/j+DFDGGtOnI7xfQMIPGVwpGAwVAhc4oHDq84V7NhkOGfzgCDpccdjit37p3jz1T5XXbzMx+4weKLBuZsHPPuQYvOkYrY9oKbqhJHL2R40aw5b1gue3h1y1c46N1+5wJ/cNsRzW9x6ncH1B3zt0ZAvP9LkxUN1ztvU4NyNCXNTIdtnIy47N0EpjaMMYGj4PnOTPmHk0ht4PL/PpT9yGAwV/ZGkP4T+yNAf2O/eGyb0h4bu0LAyhPmB4syyoTHR4cffOs8/uzHgivOanFpo0+nX6OXgVvTTf3MYCEahXUGGgeHuex513drUb65b9+jSra+/7t93u4M/abcbryi+XlGAh8EAg/jBE4cf/pWDu++eHvR6NH0fjEJKAUIACoRdaoQAKWwnjZIGJRM8KXl23xxP7W2y7+RZ3vWaPq+5ZMRkq81Sp0GzW6M99OgPHHtyRpLhyGEQOIwCwyjUhJEhigxxYu9h7GE0SCVwHUHNE0y2BFMt2DCr2bJ+wOxUh688Afc95SL1BG++2uVVF/V44MWIcNTmxlcJOsMhZxeb3LBTMzs5oO74jGLFfDdCacGrdjo0WgFP7qnxuqsmuP6KHk/uUWAmuPoSj3/1bUvc/XTIXY812XW0xjlzig3TdaZaDSZaUPfBdQxKgjaw65AgSQRRLAhjCCLsdwwShoFmFGgGI80g0PSH0A1gvi8524NAj3jjlUu84zUdvvtWTRy3Ob3QpNuv0Rt69Icu/aGiN1QMRoLBSDAMDKORZhgkjAJ74aycPcUnPn3HdJQk//2fvf1mp9cbfLjVeuVA/ooBfDRcBvS/OnXkvl85fuDudUnUpea7aDTapMpJSAQCIRRCCKQkBTcoZXCUwVWauitYGNT55Ne38LWnurz2shXe/8YVLtveZ2ayweJKg97QZzB0U2Arew8FQSSJYkEc26U+sxiVNDgO1Dxo1DXTrYjN6wbE9Nl3IuJT99Y4eKzJpF/n2kscbri8y6N7O9z5cJvrLqhxzsYBn/i6QAmfditipR+gDSgBc+0B3Z6Hjuu847Vn+eSXG+w4U+Pt1w0Io0XufW6GKKnx6kvW8fZru1ywtcPXnhzw7LEGzxzy2DItmW4LGr7Ac+1FaPnAoA1obYji9GKNDEFkL+RRCMMQeiPBciBY6oFwRlx54Qrvf9MKr70kYaZdZ7nboNOr0xv49Ecu/WGxEgwCyXAEg/TCGY0ShqG2AXkECMX8YpdPfPqudXHCr/yzt91kzs4vfWTd3PT/GgD/3p/6c/70V09w9vAnvp8k+UDn9L5Zhw71mocIEytHjECkBC6ERAiBEBIlHaRMUEqky7PGVQbfMdQdwfJIsdiZ4tP3NHnk+T43XrHC+29d4codHWaSOnHsMxjV6A9dhoFDGCmiWBInkkQLtBEIDFIYfE/TqMX4XojnBpxYDLjtccn+4x6Hjk+htM+OjR4Xb1dcfVEX5c/z3IEWmycbXHoebJhbZqnb5rLNklgbvvKYTzCQTDZj3vLqEV+6N+Lo6RYXnu9yamXECwddtq6f4ort8zzwbI+HXhAEocdF26e5aKvPRVt6HDi1xP4T8NjuBvsONmk4At+RNH1DzQUp7UpnjL1Y4wTCGMJE0A8E3ZGgG0GoY7QZcc0FXd7/pi6vvSxh47TPaDTBYqdGr+/TH3kMhg79kWIwUgwDwXAkGQZWjoyChFGYMEplnr2ADEEIkVYcOdXhQ3/+jXWP7zn1gZlpFb/9xz/zsc/8zEmaW378Hy/A9z79UXZemdBubP7uo8ee/Z3vu+XpyVuu8JC6ySgUqfwwqRxRSGFPmpICpQSOUumjxlEJriPwHI3nGnzX0PASJmuCXuCy3J3is/e1+fozI9ZPDXjvLR0u2jpiNOxz6XbD1g2KIHJJEkWiJSYDt9S4TsKRM4ZDpwUrQ80XHmhwYmEKE7pM1RSbZhy2bXA4bzNcuqOLlgt86EtNlpYmuO4ih0t3dPjaMwIRu6ybkjQbMYPIQxoJRqIcj85IcGZJcIlpcMvVPR58ss6mWY/rLp3mX37bAn/85R6P7WnSH7ksrrTYvqnOhRsHvHpnj29/XY+TS0t84QGfxYHPkVMuJ054uEogpV31tDEkGiJtSGLN1EzE5ZcMCIKIi7YGvOeWgHUTiumWTxTVODVfYzD0GAR2lRvmwLZaexgIRgEWyEHCKNQEYWIlUGQYBYZhCKNYMAyhHzns299lcuqO2f/j30z+zo++7fKosflLf/4rv/sJfuYnvucfF8DTmm0F0bqVwx+8+euPH/2j337xxQYMaTcTwkjZoFEYhDSF1pakwaRESYmjBI5KHx2B6yR4jsBzNTXXUI8MjdAwUUuYqgsGoaQXNjl0vMmv/fk06BgRx1x9+YDtG0LiGLTRGGOTOFIIpBI4rseeox679tdo1hxanmS2IZibkaybdtg0p9i2MeHCbSskYpHf/VybI0cnuW6ny0XnJgzjHg8/5zNZd5mZMEy2Qhp1K4W0lnRGiqW+YbGT0OnXuenSFR7fNWD3UcVku8arL5nkh96xyO99Hp7c36Q/NKz0HM4stdkw22Dd1IhtMyP+w3cMaDc6PHsI9hyTuK5BKYMQGjD2fwbiGM7dkHDjZTFJ5BLFPsY0GIUupxc8hoFd0UahyuXbMBSMAsEotKwdhIZRmBAEmiDUjCKdvpfdYRgJhpGgFwmWQ0k/jHBFnz0HT0w+vGv6j5aC745bN23/9L/71T81v/3T3/ePB+B7Di8hneamYe/wk8H83vbOzU/53/MmwbmbE5Sb0GzI1BnRSOmnAaSLUgYlFUqpVG9LXMdqTs9VBK4kCDV+mBBEhnqkCSJNGBraMQSRJoghjAWjSBIkPlFSY/f+Js/shsQYLLStNnYleMrWfLR8uHQjtOsw0ZRMtRQzkw7rpuGcDQEb51aIzBK/+7kJDhyc4KrzFOdtkezYssw3Xog5szjB1dslU21NzRviSx+jBHEiEcYQJyHL/RpnFl2uuqjOq3b2eODJGuunBI1ai6t2an783Yv8zuc1L5xosdLXrPQU88sOs5NNptp1ptoTtBsRc82IbVeF+G6M68QolSCFDSYM9qKKIsXZeYcoVkSxIowUQZQ+hpIgkgShZBRKglDYADUUBKEhCO1xDcKEMEw1fWTfH4UwigSjCAaRoBcKliNJP4hB9zl2RvPZexQPPbarcdONfOzd3rJ+y0+t/9wvf98Hk9aWv/uCrb9zgP/W//gLHrn/G2rP0e5NT+w53p5fOetP1tbz4LOCm1/V55d+tMPFW/ooqZFKI6VBKReltH2UBlcZXEfhOgY3lHiusCfBFQSeIows0KPIEMaJdUXi0j2BODEkiSbRWL2tycEtBCgJjgTXBd8R1HxBw5c0G4qJhmRqQrBuOmbbhgGt5gqfezDk3uemWVloc/k5im0bXS7YOiIRK3zlsQZN12FuStFqjHjuALx40OGyrYZBoLjigojLdxhOn0qYX/YYjhq89doe9z87ZN8JRbMu8b02l52n+cXvX+SeF4Z86Z5ZFruGbesSljsOk23FRNOl1XBp1g01X+N7Gt9JcFRGFvYcGINNWGlBrCVxIohjQRRLwlgQRZIgss5LGAnCyBCGEEQJYaQJS8QRROW7BfcwBXc3knQiGAQRMupz5bZlfu4HlnndFRH3P6NRPFLbOXvNxw882/4X/XDrZ1544pPJpde87x82wI3R8sTZzvuOHz/xB3v3HPVP9zfQDTSagNserhFHive8vsd3vLHPVDuhJzWOTFKdbfWw6zi4kYPvKEauZZrAlYSeIIyEPTmRIoohjKR1EOLC9osTTZJYdyExqVOSF2SJXOc7jsBzBL4nqfmSZl3QbhgmW5r10wFzUz1is8Kn75f88ZdnWFercfk5gnM2upy7SbNt4zKfe9iwtFTjog2KqTa0GhFnDkvOLvt42yGIBHMTkslJ2HfIsNzVnF6occG5Nd5wdY/b7qsx0wLf81Bykst2CH747Wdx5Vm++MAUL56osb4bsW4yZqKpaNUVjbqk7jv4HvguOI51mKQAKUogx17YiYYkEcQJKdAhSgxhDFGUWFKINGH2GOnUdsxcmdSCjK0k6UeCbizpRZpwFDLhd3nvWxd57y193nS1YRS0uOVVHr1Bg1MLJ2uJmvwjv+k4GvcvsDzzDxPgH/3450kS/f2P7D74G7v2HGu3fIURGs+TdOMagePwlcdcHn6hzqnlRf7Ntw+YascEfo3uoIajPFzHxXVcvDAhdB280EqTMLKpdMs4wjJRykpxDFECSWKdBK1NWm1osnggBbcFuA1cBa5jAVLzoVHTtOoxk62Yuckhs1MrPLg75ON31tlzaJJzJ1x2bIAtGzy2rIcLz+kyiLs8uqtNXbnMTSkmWzDZCpiaiPE8ByHsxTUMPJa6ESsDQ6cfc3bZ45wNLa6/6Cx3PjZgz4k2DT/CVR5CTLBjs+J7b13gmgvP8vE7Wzz6/CSLfYd17ZjJRkyjJqnXFL4r8F2J69pYRSlS+9Ci3GDjIa3JgR4nOl3dUmsx1sSJBXccQRib4h5ZV2YUW1IZRIJuLOjFMBrF6HjITL3Lv/7nS/yH7+rT8D06vTqj0CcIfYYjjzjx6HUPt4NQ/O7M+ku9F5/6wh9fctU7/+EBfGGpg1LqBz/4kc/+yr4DJ2YcJXCBujZAgiMkXeEylJKVwOU3/tJl14Fl3vG6Prdc2WP9bEivW2cY+HhujO+5BKGD71l7LwN4FEnC2C67UZx62gmp9UfK3BJtKMBtk5Qpc4OjbMLEcw01T1OvxbRqMVPtgI2zXc50Bvz+F1y+8vg0S8tNzp8TnLNOsHmdx5Z1gu2bRjjeCp+81+HgsSY710umWpKJZoKUASfmDb4jkQKMEYSRw7Z1XR4joTtQLHcNZ5bq7NxS49tv6fCZr3kcPuPjOhFCuGjTJIolV29fZtt3dfnKkwM+8ZVpnjjcZPOUYLaZ0Kwl1DyB7wo818YqjsIGzlLkNRkGe5Fpg3VaEgv4DORxYiWdBTuEic1UhlnyKBYMY+jFkl4Mw1CTDAK2zPa4+apl3vm6AW+7VuOIBssrNYLIIww9gshjFDnEsQIU/e6xmamZrR+46MpvV+Go82Gv9nczcevvBOALiyt4rvMvv3D7vb/y6BMvrAODUgIPg3GzjKTGlYK+lPRkjU7o8Mlv1Ljn2R5XXdTlu24d8PbrOsxM+gxHPsPAw3ddwtgljJw8UIpjRZRI4lgSJYI4liSJSGvEU62tBbkqMdnft8kilSaLPFfjewl1P6ZVD5id7DOMhnztOcOnvjHBo89PMuW5XLbZsHFasn7GY9OcZMv6kPM2L/Ps4SFfuH+OCeUwNyFoNwXtRkRnkPDlh2u0POsOaQPDwOEdNwbc/oitien0NWeXHbasa/Gu1/R5dHePXfs8mn6MksKCXDcYhVbrf+8bOuzceJZP3tPloRcnObpcZ0NbMFEzNDxNzdF4LjhKoCRpgixNDKdQ16lU07pY4eIU6JYgIEoEUZICOxGMYsEgFvQTbMwThjTrA9715iXed2uXq3cmrJ9yGY6adPseYeQRhC5hZM9ZEBUFbBhYOP3iumMHNvzKOTtu1sGw81G//q0H+bcU4CsrHeYXu0ghvu9Ld9z365/74t0zKysdfFehjcmzbVJY18JJnQtfQk+6DFzF8a7PyUcaPPJcn89c3uM9bxjylhtHTE96hIFPENsDFsUOUQr0OFHESZqwSQqAa5Myty5qyoQwaVBp6zgcR+O5Cb4XUfdDWvUhCUPuflLy51+f5PlDE4jI59wpw8ZJw+ykYm7aY8OsZNNcxDkbuhyb7/HBLzWJgzpbtggmWw7tJrQbEcIN6Q6bTLYMQgiMgSiWTPuKWMf0Io/eIGG5qzgxX+eS81r8yD9d4QN/4XNkvomjovTCcIjjGqNQsmHG5+rzu1x+Xp8XjpzgU9+oc+cTk5zs1Gn6ipYHTdfgOQZXgSNtOl+IanWdBoy2F12iBYmBOLHNI1EiCBObJBomgmECw9gQxzE6CpipDXnrG1d47xt7vPayiIm6Sxg1We74BJFHFDspsJUlpEgRxkViTWtBsNJh34tfX2eM/PXN514f91eO/6lRbVqtbx3Qv6UAH42GrJ+beOeDDz3+e3fedXc7HHVpN5TVe0akQU8R/ChpcBKDKwWe0tQTwUB5DGKHs0GNLz7S5N7nB7z6rj4/8c97XHxOl3WTinbDIYw8wtgljguQJxnAtUQbiTFWEhQdPmmqXxkbxDoxvhfjqpDuMGK+G/Hbn6tx6OwUT+6axGiPmbpg3axhdkIw01bMTLqsn5FsmInZPDdgZnKZrzyleeLFSS7fIphqSVoNSbuhadZDhBvg+w6Osn/fGEgSyTBwGI4iYi3oDTW9vmGp63J6sc0NF/a5/pIVPnlXjfqSwpGRBaRxiBOPMJIMA5fZyRrX7Ohzzfl9Hrv5JEfmJR+/c5KzKw2OL/p4StJ0BV4mw2RKMpCmPFOpgmXy2AhiDZEWBAmMYgi1gSSGOEKqgE1TQy7fZs/HtRcntOsOcdyk07PAjlNg2xXWSWVjCu5Ipqtttroq+qMBy4/eM9Mdeb+3/fyrlsPh8AvfSkx+ywB++uRe1q9fr770hc+c//wLe9si6TM14dqgJYZYGxxpmUHFJgU3OInAVQYvNtQSQUMJhkowcHyGictiWOfOJyZ48MUhTT/gX7ytw5aZmHM3Dbnh0h6OULQaDkJYuWKzkrZW2pgSc2OTSEpYz9wQg4x54ZDk8d0Otz3a4oWjLcK4QctRzNUN003DVMNYH7ztMD3hMDMp2DAds2luyMa5Ze59PuBDt61j46TDXBvaTUW7KWg1Yup+wIN7FaPQwW1aUBkjCGNJzVFcuXPII89N2sKnYcJK12VhxefMwhQ/8vYzHF9Y5JGn53AlICI05AAKQkl/6DDVqjHZbnL9zgE3Xz7gu14/z+5jmtsfrfHo7jp7DzaJhUMQKAaRQuWlD+XAM80JGE2sDUZrXJEw4YXUiLj+qj7bN47YMhvx/rcE1D1Js+4Shg06PS9dSZ2UcFTutUcpY4/fEy3SWEkQxQ7dfp+Tiw+2d+89ff573/sd6rnn9ySXX/ataZr4lgD88WefZvcZ31vpPPwD7UbwG3G4TLvlMwoSQgmRNKgE4jQzqaRAxViJkBicGFwpcLXBTww1JWgkgkDDKHEZJi6DpEavl/Drn5zCxBHr50Zccs6ImYmY97xhyDnrQqJIpHpbQom5SfWnlBohBZ+9p86zB5oIx+HIyQYnzjSo1RUTvmCyaWjXNO0atOqCiYai3VJMtRxmJmF2Mmb9zIjN67okZoXP3t9m2G9ywRZDu6FoNSStuqZVi3HdkK88UiMYSNx1IFMwRbGkWVe89dVD7ntK0w8k/WFCd+Cw0nM4vdjg4u0t3vPaLk++0ODIUgslNRCletklShRBZBMz/ZFDp+/Rqjdo1gMu3jLiugtHHDvb4fCpFRw34ZmDDp/5RgOhbOEa4/MHjQY0GEMUJmxbH/PeNwyZbSdcuM2wfgaS2CUIW8Sxy3LXJY4UUeKkcZAFdAZwGxPJ1NUSOXNHmQefVT1GgmHocHL+LKq26TceeOiBwU03zvzx8aOPhFvOuf7vB8CfffEIRp7eeTA8+fujs09Iret4qe4mlSU2O2lZPJYQS0OsBU5sdWKUGNzEakDfMdQSQ5wIQm0IE0GgJUEiCbVLpGG+3+Ybz2oMCX/9aIQQiT1Jxp4kSM2StGrLViRKpFLEkYPUDq4jafmwfc7QdDUNX9PwoeELmnVJq27l0ERLMtWGmYmYuamATXM9Epb57b+q8cBz69gxA1ONlL0bklY9plEPaTaG1OsNfCVRMtXgWDkQRS6joWAYJPQCRX+k6Q21bZlrehw/M8FNlwT8+Hec4Tc/43B0xUcIjTEROjFEsUsYSUaBLWNtDR2aNY9GvUbDb1DzI1r1kKsvCPHciGsviHn/Gwc4Kk6TQBohTFWUp5JOa4kQEt9VgMcocFhcdmzdTpLFPOk9lkUMlOrrDNyZs5UlluIkZe30dZZYimP75x946FG589zg9xdObLg/6AXPfyuw+f8a4B/7+GdY367Xn3hu/7tf3LNXbJ11cF2rsV0lwYDEpBlKm4CRyjK6Sqw2jBNwEtv7GGcRfZJG9Vlkr0XxWgtCLYmNJNEOkfZJUturfMuzlAIcIWymUkGtbqg5hppK8F3wHah5hrovqHuSRl3SqDkW4E3BZEsz3Y6ZmQxYN91n07pFPnSb5hN3rmfrpGK2pWk3Fa2GotmARj2hVY84tag5cMqn5tl4A7JKP8EodNi+QbNhdkR35DEcmZTFJSs9h1a9RqsxyfvfeJaDp07zR1/YjCMdDJpEJ8TaEMUOQagYhrYoalCTNEYOdd+l7id0ejbG8NzEJszcBEfaRgkpbTpfpHdbuiIAkYJc0NFplaW2cU2SSLSWxLqIdyxoswA/e156jEX6fgrslMQs+CGKbRzgeYrzNtdYPr1b7N7Nu+vtiw48ct/nh9e/7l2vLMA3rmt6nc7yT4fDxZ+eqCUy0S5Kg5Q22UBeOGVIdFrLnQiSVJ7EGpzE+tVJlnzQJn1t8veK50WlnPVyRR4olTU3UAlqHalxJGlNC7hK4DrG+saOoOZLap6k7ivqNUWrLmk1DBPNhMlWzHQ7YHZqwDnrF3l0b8An79nEVM1nfUvTbggL7rqkWdM0azGtRsCje+CZ3Q3OnzOp7i3S5sNAce2FhgvOGfLY85MMAsNwlNAfOinIXRq1OvXaJN/5uiWe2XuWR3ZtAKPQOrHlsLEhjkxeTzIMHBojQ72mqHka33PxvQTf0ThOguvY7LBStmEkK3BDGASFniuCc1tCrDNHSmf2a8mKzYCtLWiL1+TAzu6WwLIMKulru6JJYeuLDp80sh+t/JfZDWc9z2v+MhC+YgAPRgM5Go1+/ot//cl/Hwfz3sykZ5MKaYQuhEBqSZwD3AJbpUmFRBkcnT7XtoFWJ+TPkyzjZrLMm0GnmbgsWWGMoZR5r6y4mVuTJXSUTDOWilLRls3++Z6i5ivqvqBRF7TqhnYjYaIZM9kKmJkYsmlumUf2DPn5P1nP0eOTnDermWxAu65o1hXNGjRrCfVahOeO6IxssZirjO1QSm+JtgwXxR7tesQg1gzSOuvBKKE3kHTqikbPp+a3OHdDxC/+QIf/+jHJw7vWY1Boo0kSTZzEhLEmjBSjUDH0JfVAUfMkvmfwPYXvaFzX+v2OMmmdT7qqpjJFpGXK+S1N7ZuURExay5KkgE908WjJSKaPogB4+jzJWZt8dS4TmE4bTZIERiGcWTzhbR3W/uP73/89bn8w+M/NRuNvnc7/WwM8DlcwJvjl4we+8e/i4eHa+mmHIEoTKyn4VHoVKymIVQZkg5YW3EkKbp091wKtTZ5G1rlHC0Yb20WeloCW74wBvGiWSMEtsppyK4mctBXNdSS+J/FcRc23IxnqvqFZ07QaCe1GxEQrZLo9ZNPcCo/sHvBf/3iWPUen2TZtHZZWXdJsSMvedUOjltCoRURJyJ/d1UIqhSsNShQ2oTbZEu7yvW9e5qtPhPRCn0EK8P5Q0esrOr5DzfPx3TYXbo35pX+1yM/9seCh59ejjSTRNq0exbbQLAg1Qc2Wu/q+oOYKfM9mNj3H5BlbR2krE2VRlpwDvEh5AimJYHMJ1m1JA/kMwOnUAZ0n10jZnXzFTcrA1qQ4IM2ipveUrBJtCEPNU88dqDW++I3/893vuFUsLHZ/Znbmbzc9628N8KWzBzDo6xdOPVavuSOSuovjiNzjzNlX2StTaUEiBUmeHs7AnV3J2Rc1eXYta7+yQBe2jiIDdXbgxz5X0buZ1pnIomkiqyO3AJe4rrT1G56g5tuZJw0/oVm34G43QybbQ+YmOzy6e8DPf3SaF47MsmVKMNMsSZOaQ7Nm61fqtZi6H+K6AScWp3CVQEmd2nJFkJkkkjhWbJwyxHFEN6qlnTKa4SihN5LUB4qa5+K5NVxngou2xPzSv5znP30EHnlxHYmWFuCJIYqTlMk1ga+phZKRp3IJ5rrgOqlzpaTNBWT19gJE+rgGxq1cIU0KIfLkkE6TQ1m2OElK7+tCciYlYGtdnO8c4CmwdWJrY4LQ0OmHfPVrj9V3nn/u9VL+7Xec+FsB/OieL+KoYeOZJ+7yhr1uyoQaISSRyuoaSlezLIPdAl1rQ+JQ+ZIFsDMZUr66UzmSPX+JzyZFUURlGyZEDm4lZdookckTqLnge5p6zVD3rX5u1CPajZDJ5pDZqQ5P7Bvxcx+e4rkjc2yaVMw1NRN1QasmadQUjbqgXrMXh031hzyyS9AfedQU6UVWSLcs0Ixih2ZNccOlPR59oc0gsjJlGCQMhoqer/A9hed6qX6e5OKtml/9obP81B/CQ7vWEWlJpHXaLF30YAaePSeeK/PaFDe9uO2dVKYUMk6mWd61QJ4lhUwG8BTwSe68sObKq1MpokskliQm/Xnx2mIlu1gtoa10Onzsz7/ovftd/6TxR392++CH3v9P/u4BPuzsp9beOnnwhc9+UNF/nTYaJSWeawDrMytpQR2nmluXli3L2MVVrpVYm7VLgNY5sIumYFLtnZ8MYQuKhEzBnRYZqRzgoNKKQdcBz8V2AnlpgZWfUE/lRaseMNEaMtXq8vT+gJ/78BTPHF7HhkmHuYZmog7NmqBZVzTqikbO3gk1P6bVGHHvMx4rnRpTU0WaPAOMTrVplCjWzSje+Ko+9z6ubRdNqEsgl9RcSc11cB0Px6kjpebirYZf+aGz/NQfGh7as45IO0RpBaAte7VM7kcyry70HInjpEVYUqCc7NiQf77sIsykisiq0igSQuN3XXrM5akur7xVcJcrO5Ncjtpy5qz6M0oMxgiSOGFpZfi63XsOfuQnfug9P3rDNYdXrrjk3L9bgK8sn6bbWfqplcVD7xsNF1HSRyuDMgYXywSRBKWsDZg7H6oUNOriis/kR5LLEHL2rgSS48ydIj3LyOXaW2YVdIXuzioGHYWtz3AMrmsbi2uepuYl1GsxjVpEsxbQaoyYnujw5N6An/7DWZ4+uJ51ky7rGgkTDZOCO2XvmqTuW/av+TENPyTWAb3QRyiJmzF4rsFFyl6pXxy5NL2RLRcIa0xlIB8lDDzL4L4nbU28k21Aa7jsXMMHfvQMP/kHmod2ryfSDkEiCBOdsrigFml81+C5tnfVSeMOR9kSYSVlenzSrvzssVSYlV+Y5VhnDNw5CZWIqQzuPK4qE5kekyu6CDzjxK4MQgpOnVlk155D73vgkacOBEH0n/5OGXxp8QTtqU3bHr/3w5d3FuYBF9KqPBeNFKljIlIdLkUpcBQ5uIsvSj4azWTBpCkCsYIpiqykKa+ZGWuXg8psuU07dFQaTDlO2hmUFiFl1YM1N0l1c0S9FjDVHjDR7PHIrpif+dAsTx1cz9yEw1w9YaJmaKXgrtesnZiBu+4n1LyYdjNk12HDPU828aTEVToN4gqPIlu+o0QRa4dbro44/7w+B47WmWtQ9DkGCYNRysKOwnHcPGEmhOHSbfCrP7zAf/pDzf0vzDGK6jYZFhsaaQ2372JB7mSrl857W6VK8hVOSVECuCiBnFV6pQC5qQI8r1AsVt61VuaC3SmxuKlq9sT+G76nOH3qFA889PjlP/uTP7zt0JHjR7Zv2/KtB3i3c5JavX3u8YMP/1YwXH5nFA5xXZk3CtumXYMUMtXapmonGYNOMjkiVi1pmT9sck97zCVZ5ZakzD0ObmGQKrMF0+ypSlnbMXiOxnU1vqvxvZiaF1PzQxq1gOmJAcu9Afc9D7/65xt4dv8ssym4J+uGVl3QrIncK7fOi7bs7VmA1/2AMEkYDWvUlL3IpBCVSr4skWIDTcdqeScgCA3DSJQArvG8BM91cF1ppwpINwc4Aq7YLvjVH13m1/8i5qHdM5zstBk1JZOJoRUbaunEAd81qfefOSkmZ+9MqmQAzz9v+qHLOM8VYnpSslW1AHdVUtpqzhLYK0AvAJ7ZwWV72Bj7WfqDAWfnl95559ceSq679lX/56HDJw9vP3fTtxbgS/NHcdz6dUtndr27v7IHz3ORQufWlxQCLQUq87ulyPsAcytJiVyS2C8g0qUtS9hUpUgZ4NkhLqvC7CTYcQ8Ze5tUnpjScCBbFus6Oh0zkeTg9r0U3NN95peH/MqfNfjCw3Ms9KeYm5DM1VJw16zubqSBZd2XNHyTMrjV3jU/BEK+/rTHcuQx41Opx0ZUV6gksc0Pbd/hDVcNeGRPSC/ymcg71jVeYGvVPccC3FG2IVtIm6DBwEVbJb/5E11uf2TIL390PccXphhOOkx6glasacTgR3b0sqfsQCM3CzSlyIPg7LEcqJcvTCHyXpH8/MCYhCwDuxQ/6RL4M/AmY4BPdFXLp5UeCKl47On9bNy44d0TE60/6/UGh7+lDD4cDqnVahfs2/Xwvz11/EVqfmZ9mbxCLvOptRGoUqNBYmTRdFDW2jmoMwliChtqnLXLsiQ90BmzZOnmzAVQGcCVwZEW2La30/Z3em6C58bUvAjfi2jVhzjOgHufSfjIl9vc9sA6Qt1mXVswW7OyxFqAmU+u0rtImbvM3hGOE/Dgi5MMQoeNjezzjDN4FmTbUtKaq7j+4iGxtgAfRsJ2rWed64G2waGTzoZJ7T2RJtcNgtlJwfte36fln+SjXx5y34sznI7qDGqSdmxoOsaC3EnjEGXSuCQtfpPZMRRF7bgEScHi4zsK5lIlG1HBuDYvdw8Vtecm0+PlVbyyoovKBSQNGKF44qkXuP7qnf/21jfc9NRwMNhXb3zzkXDfFOCj3kEO770Lvz6xqbe072ZpFvFdiVRxyfYqMl5al9K7uuSQlH5WkSOZ1iZNJlSAXbIeyvaVMGPSJMvK2YpBO9pNpzXfKbiVrcXw3QjPi6i5IY3GCM8b8Od3Ovzan67jwPw0rl9jQ0sw7Se0fUPTh2baYV/3bbazliaEbP1Kkq4EVp4sdBP6oYenFJ40eYBJ6atkF3ZWuxHGLnV3xIbJISuDFsNIpOPWbKzguklq86nU7rRzZLLvn6XUJxqKd762z7WXzPOrHx/xia/MsRQ3GfguTVfSdmwNju+Ap8ibIZws6ZOufDKXKkUCqEwqVbFSBjqVFVhXWL2szcfuJbOh/H65jt+RiuOnV3jwsV039wfxpqXlzr5ndx/jiou2/r8DuCDmgouvO7ez+MKHuicfY3YqRCqZ1y4UNQtgtMxZPGPsskQxuqhvyILH/CAgSpJEjEmT7LOYgk1k0R2UA1waO36iwtxJCvIYz7GSxPcCfHfI4TMxf3R7k8/fP8PBM1O0Gy7TNZjyE1q+SVPvGbhlCm6ZJ4Vqqfb2PXvhtJsBn3vQYd+ROrV0AlfeLkaB8nyMg7E6PIodLtoG33Ztj4/cMUO/4dBOZ4/4YRo3KI3jyHRsHSWQuyVKtavCObOSn/meAZdvP84f3jbNwdMTLMV1Bq5DUwkaKdA9aeyFk7pM+eqXHdfMPsTq8yLTaVb75BkxZaUTuW++2lLMu4hMeRUnz1JrPUZ82SVlFF/6xh7Ov+jSD73+Da9928JS95tKlZcFuDFDoMao+7UthA/tmG4dIao1bFWZkfnIsxzMRpcYvPhZIUNEsQQZkTO/ydi6ZAOa9ISRMXYG8lLbm0hHvUmZAVynrknG3gmuE9vOHSfG9wM8J6CXhPz+pz0+evsGTixOolWd6QnFtGeY8DSNlLkbefpepnUqqTRJvfMc3J7NXgZRyL7jPv3QZ8pPXZws6ZS5ElkW1pRqUiKHdtNh+5YQ5Y/ohS2GnqAeGYIM4E6SJmqU9bFlVgK8VvCqmJsY8CPvHPDuW07z0du7/NFnZ1gYNhk6NWqOouEI6srgx8ayeVqn78iivCHLcq5ictaQK+MOC1CJpTL5USKyAuTkkjWpsLt9nZh0NwvtcnChw233PbNDumLLd779hsO9QUCr4f/tAL7vyDyt5sTcgcPtT3/+84+47339gAu3xgyGPnHiECcqB7NO2dtkAK8Av3i/AuwU8AVjC8yan8SU7ECTA7siT2RaJacSC3AnwVEJnhtR80I8N6QzCnnwWcmf39nms/fPMEpaeJ7HjCeY9DRNz9DwDQ2vAHfNl/i+xE+liU0Mpc5ECnDPtZnPQ6cM9z3RIIxc/KZZFWBmtyKdbY9dGClc1+GN1/b45N199hxvMqzZ0QyBa/BicCONG2qUkta3lgIpZDHch+J4JloSa0nDd1g/OeQnv3PAxecEfOLOFo/vmmB+2GSkPFzXoeYI6hL8bMBSZq9Ka/fmBWuidPxTJh8vziozekZQ445Y9lqXmPqlQS2IjN2OMdAQBxGXnrPM5Ru+4L7u8is+HYfLr9LRyvzfmsF3bJyW9zy277r/5+MPTXzprnU8f0DzGz++zDnrYgZDjzgphldaEMsS4MtypCpL8nsG7FSilBm8Uvhje3Qsk+cpZZ2Xe1rdbXBUYgGuklyOOE5Epx/xwPOCP7mjzZ1PTrDUaSHrNVp1xaRraHuahmtoeIa6R8ralrnrvqTmKWqeoOaRVujpFNwa37X6WzkBe4/DiU7NJlZSfVtNnBRLru2DtCCPtSQMHda3BRdsHfLc0ZhB5BKkM769EAs+lU3WzRI1IMc6c7KLJ7Mho8TWh7/3jUPe8uplvvZUj499pc3ju9os9hp0pEffc/CUwJMCX2J7OKXBEVlck/bQirTsdw0GX1W/Ms7kJULTlHW2ICH1v40t5oo1RAYiIwg1aJ1gRgE7Nqzwyz94hltf5dDr3TWxpGrXuc3L7uBlhge9LMAPHDnl1x39B4PFY81aq8Y3np7mL+/p8f9975CabwgjTaIUWqsKi+fypATm/LnOdGgJ4KUDUuGFijQxlAv0rSzRqebWKJnYgfiZmyEj5nsx9z7h8OUHWnzhvgnOdpuIWg235dJ2YMK1nTx1l1R2QN0T6V2mJaep7vYEfsbeGcCdGM+LqXkhxkR8/UmfI6fqzE4LXKlTHSuKRt8S25mShZokimHgsm294I1XDfj8wyH9yGUYCWqu7Vf10slSxSqlcr/azlGnOK5G2L7UrFFBW7+97ge89/VD3nTtIn99f4/bH2hw77MtznYaDIXH0HNwXIUjhG0hlBJXmFRqGRSiJA2r9uEaZF5xwQrmFnkAmpQYO87vgthkWU8NJoE4xKXPd79hkVuuMCz3Jjh0aqm59WL5B54+cTEw/FsBfPfu3ax0BvR6A2Ij6PUl9z9e43vfNOSc9SMwmkQ7aTG8KmSKKeSKMbIC8spJANs7uUZNYCWgLAFbCJ3agRqRAtxxEjwnolaLGAUJe07A4ZOKT901wR2Ptzm73AS3htN2aShJyzW0HE3dNdRdqLkW3DXXziS0ZaaydBfpz00Kcp2D3HNte9qBk5rnDvnguukyb0opelFBQTkIs/XSgjix45wv2x5wyZY+u080GNYEjVjgR4ZAkVp7OmXvzE3JLMhCq+Q+e2pFaq3S6QMuo9ClXg/4/rcGvOOGFb76RJ+/vLvB4ZM1dp9oEK74xL7DyHGQyk71VYCTPmZMnksXiuB/1S13UwpQa0qyBHI5og0kGDvpN7vrGLSdE7dlw5Cbrh3SaipGIxgMRhw8cBDlNF8Owi8N8JMnT4ogGP3b27/4qdmbrx4ReH0eeTKxuqmmUfUILzYkSYI2KgV5uaO9DGxZCihFCmpKj2PwziL1XPPZpIaVJDrd5SHB9+0k1ThJOL0Id33D4cDxOvc8WufEcp0DJ5vg+6iGQ81RNB1D09HWRXDt4Pyaa8e1WRBnd5neVQpwUs2dgttN8F3L3vbCCjk0D7sON3Bl1R7MJQpFPXjuKGROik77GmOXS7YNuWDdgOcPxgxil1YkCBzwYjsTUJUALqVASFlhchi330QezGZ9lFHiErge7XrI97454LWXdzmx3OXrj3kcPObz1ScbnFyskQxdtHSIPIWQ0q4UaVe+JM14Qi5b1gJ5JdCknKXO3Jb03ayX1qSsnd11DKMYGSa2nt8JePHogPufj2nU98x+9/u+89+ePnXyAxs2blozfHtJgB/e9wBaJ+/bOHWq+drLe/zzW0/z+P6E5/a53P1wDXPViHM3RbjE6FCiTarF1wJ52udHaZRD0V42HliaUsResHYuRVSC6ydEieHgMcFzBxV3Pdrg+UMeLx6q0w3sHDxcD9V28ZWgoaDhaOolH9h3sjqNrGzW1oX7qSzxPIXnyfQCMIX2dhObWXStzq95EUaHnFmSBMbHcSSeNDglm22MwHOQJ6ba7xjGLgKHuekQqUb0I5eBI6zTERUFY47SlQykFKUoNht2RBETZa1l2WAkN1H5+IlB4LFhKuSc9RFXnxcwDIf8i0Mdnj/scdcjNZ47VOPg0RpRrMBXGKlASBJZygblSYo1tEpFnGc+cPaoS49jd51ApHFI2HZuyBuuDth1wOUzX2nw0O5JgpHD5VtONmfXPfw+x1Ef+J9i8N7pzzAa9tWxI3vFjs1LzE6OWL8uYtM5AQ8/4fOzH5jk0ksaXLoz4s2vDnjDlSGYGNc11JukOluCFsSRBXwWSFYYvHzJGwto0vklrmNAaIQ0RKFhMLKMfvi45C/u9BlEiqdfrLH/mM9C3yNIPHA8UC6qrfCkoK6goQw1hR1nptLCI2VZ23OFTXqUwe1KvFSW+B74HqlrYlPmrqPx3DjNiEbUayFnlxPueqhFp+czNSFwUi8+K/oSL8VsuhQQakkQKGZnFG+5YcRXHx9ytNNk6EorUxxwY4MbZZ516rHLxNqFlGedyPxvaONUSiaSROIlisRRxK4d+xBFrrVS3YimF/Hay2KuvzjgXTeP2HtM8swul2Go+MRdDQ6ddkFIBkOHJFRZ+SbGyQA+ZhmV07cVgANGIxKD0IU0qTcTXFcjjOYNVwW8+doRl1wYcfklEV+4u84Xv9bgZL9Oa0ohT2jk/fvFZVdepn79o3fG/+FfvvlvBnAhDPVG4/e3zB6+AnOWmh+wPIr5079u8Zf3NumOHOaf8XnwWcOn706Ym44xWnPVzoj33jqyBewJzE1orrwspFmzJxMj8hzY6nMu8uE8nYHgmWcdFruSek3y6C6XL91fYxQpRpHi1GkPLRwi46KFC46D8B0cKfGUoCYNtRTYvjL4ytgacCf1fJ2Cub2sLzMHt0p7NEXO3p6r8bysQCvJ2dvzIpQK+cZTis8/3EJ5jrXbKvr7pRk888KTJHM8FKORyztuHPKFB7t84usT9OMazVSHu5kOj7KkjMm7hYSQOcDsn5IlrV8CuE5HOziWyV1HETsOTpxYoKsEpewg/alazI0XxtxwYYQRAe95/YBRZMe5ffF+n8d2edR9wUJX8czzHt2BTFWS4CVFeb7zhG0NvPLKiNnJxBbnJYb33jrkygsijIa5ac30pMZJK1bfe/OQXfscPvI5l/5Qsjf0CFXviutf2/x9Y8yP/I0Y/NRCj1Gt2V448pELzWBRxXGPT3ymxjMHZ3jguTrdwIWaRAOBgTMdw5kV+8H3HtV86Rv2SjSJYWJKc90VIa26rf9dMz1ZvtRT12Glr3j8OY9uRyEdaWeiGMcyk3Bssbl0QDpIKXGlsGCWBl9qPGmB4CnwVDGjz4JcFA0Pjm0EyBqPy+C2DJ+W1boZgyele4zvRBgTcmLBIwxq+BMSL017q7Qqr5LFFBTkVbJO8+50rQgjl6mWYutsiCdGDGOfYSyoO3aOSFZDkiW0lCyXt8r8b9m/kSXbdJE91TptPimkURwnad5ApXPZY6I4QUU2l+CoBCljtszqdMXQXHzOiNAMkY6m0xE8/pzDykCicsVSDaorZzqtQ2nWNNdfETExpTGxXdnryh47+9kVJnaIjSACmp7mJ797wOuuiHj64Ap/fHuDSb+vmu7pC3/se9/f/g//YqUr1OTLA/zoiQU8d/kDP/3bK69/6Kk5pJihsyJIYolWwpqklZvO9VVsNJ1MUylDd8Vw6hvN0ldcC+Bl/ZaeHCHQ2ZYLpDWnQhVBjpSplZWBOk07S9KNWzPfuPTopJ30inTrPXJw27YuhZeC23PIS0wtg6cs7mi8NDvquhG+H3FsQfPxrzbB8eyMRVlK8FTAVyWyjF2zIaEWbHawThi5vP8tQ/763iEvnmnRT1wasd2U1lYBmqITR2U5gXKwl5UuZlJIlgq8srvOa2EcR+Emdl6KmwJdySJpZuvG0+dCp4ODEhxhECZhtqH5JzdpEEkqMwGR7Z+xxjnPa4wEaIWOnDxOiyNJZOx0MqtmLB4whiiCpm94+40Jb7o24F+8JSJJujQnn3t9PDz0AWPif/1NGfxPPnUXSgrvxJF5krDNwEiMZ8A1Yx+3ZHKuCh7SR2VI3BK418R3xm4ZwKvBi5Ayb0FTAlxh08q+sNWCrrSvHUlaU5F2j2eFRA6lOSikO7MVXfUFwGUuW3zP5C1tnqdLg3Ni3JS9PSdCypAjpwXz3RrCcfAlFXkiy1+rdLrL0qECvNTpCGOXmXbAtg1Ddp8OGCYOowT8ROAmBjdOdXhM7iwVKXRV6VTIYjs7aTertRYlaaRxEk2iJMrJti9XabFaglQ6XSl0Yc2mIBfZ38ZWlgppctcrA3rmgK0F8CK5V34sTIm8hCP9b7KsiBlZhvddRWAU/c4y0eHb7O693wzgZ44fQQho0mdzyzCIDcN0dFqsIWGsiCb7zNm4tIoM+WayhLQrp1RYLwSSIkWcj1kWBlekoE0lQPY8fy8l+6IUlLzB1lPCgr0CbmkfvQzoWfCZgjvr/nF0LlFcx+pTz4uIibj9wTpn5uu4EwqvXMNRdlAYU6Tl1HWp8jJL+owCO8H27a/p8+CzI7pxjYHjUI81YZpOV7IoiMoKzoTQFJ1DWaApclvSWofpTBUDibJ/09GCWAmcRKa72NlanjgFepFM03mCTUpdSrzpYoe8HNypzZvvFfMS538M4JXnGYNTWMym5DxFkcMocBiGArFymrUYtALwe+75Gu1m/aZP/tU3rl1cmCfw7GAYT9p6gFgXxnySXmHJKjPffpNvNqklFyRZskCAyh6FwYHcalNpytjONyk0bjbr0D6KfBRCGdj5HBSF7UdcC+BZwJnpbieTJSbV29Vacs+N8NyQ0x3Nk/vr4Hg4qTxxSgVKWbZPjCHcnqhS1V3elypzTzyKXK46P2BmckhnucEgVjQUuLH9LiqxA5RUVAY4FuT5H5JjlZpZ3b4tpdBKk2iBqwWJkiRKkyhBnIK8XLyWlUPIDOQlUOdbQKJTkJOWNOecW6pdKRVjVOpXxBpgL2dms7glHR+XjmQeBS4rPYdITl07s+nmm+695y0P3HzLLWsDfKkb0Q/4J2FsrozCCN9xMcYeOEcborSn0gLZ5EyejU2rVJCtcT2J1D4pm0nZVZ5lxQpwFIPyx0s4naw2Iq0Bz0o9bXNx1qliZYnKu1cKYGfNt5a9U83tkOvtzBK0jF2A282rEyMEEbfd7/Pg8y2k7+BJYedv5xWE5fks5Trq4qTmo9FyFreBZqIVw5HLDZcO+bbX9vij21qEiU8/kdQSQxCTrlzlqj+dyjk9dkG9FJODdmTaMiZycCdKopS2jC5lOlpCl0qRyzVAxd6mspJtzpg8W6RLMlWsJvPyyL2ihiXLm5QrUQv2tpPB7CTbJI6Qfnil76z8Ey3jB9Zk8AOHjjM10XzLJz77te95ds8ZEmP7LR1llaMFVDpeLS+UKbFDXh9eWX1WjVQrz93IwJ0BQJZAISlqHsqjDTLmtluQZK9JGZy8DavC4mk3jKuq4LbjFMaYO+3Z9NL2NtfJGg7i0j0iJOIvv94mMT4qz16WA8yirzFzNioanLF2PS3tdKgkCzYdBC7vfcOAP7s9YEVHDJMaw0TgxuQsLqVBxiIvOrN24fj6KUvWZKmpQAsSJx3loFKQOwalrVyxY/ZsBaPNHsu8NLmwKMvVnUUZc96UkgO9kCqrAV5d28sgzwFOaXyclvlx0kbg+wbHPcFkc/l7tu546z3dlRNfbU9urgI8iSOCMDw/HPV3jAZdlOOR6NTIyKSDNiRirBg9m09i1mbt8ZsQJSYvyZMc6GPlmeXdIMqaMwN9ebaHUqLQ4mnFXWXYTQpsR4nCScntQNtxbxuTTcrcRYDplNjbd0Oe3C/Zd7KGUa6dCyNTv7Zcp1ES4OMuSnbP+lPLnVCZoxLFLjs2RVxyXp+H99aJlMcwFtQkuInBiUUq39IunDjV4UgrFyp/UpRYXJSkUTHKI5sJ6Sidz5BUqfQrwJ3VApm0TCBjcvLVQ5TAjcgmZq3N3mvdymUcZk0WzwLyLDMu6fcD+r1wRxSF50dR/NVVDD6/sMxgOCIMhniOFcTGgJEGJ52PoUXaH5fKk/xcmeIgfpOPXZEmOeDLQC+BW+U134XtVkgWYbvnRQFuG2SKvFvcycEtKwAvD/+x3fbkwM6zlTlzJ3iOTezYrqAIQ8Rnvt5gcbGO8B3ru5cvwvEalIKcKhZh1nxbruPOvWmtiCKH2WnJd7yxx5P72wRJjYHyqCdWi2flrEqSgjtbK3TqiWcC0rL4OCvqrI+2NJXK3iVKFzPds+fFtuqpBpfZfkeZNJFFc8Q4g481rRTpvtWUWJRzFJjKL860FDvJZZ39vGGkGAwD+t1FomiU/1s5wP/i019AKcnZ+RWb3TIWSEYD0iAMaFHouNxBqbh/L8/fmf9fyJOxxzKgyyxeGS9WMLYsM7gSJRbP5IpEOVWAe046AMjNtg5MM5yOwc1T8Tp9nlTujrKdOy8egU/f2SKQHkqqNHtZvRDHM5irluX8ZDKmw1OdmSjixMFPHL7jzSP+5I4Bzx6sEymXgZR4iU7dI4FMTOk4GdteJsrrqU7/VnXfojKTJxqc3EK0o61VWhKgElMM68znsoj8go7H9Lg9n+ViOUpMnoH85bFSBjms7gqrNNYYkFJx5sQ+FubnKduFDsBz+05y2fkbG7/wq3+w/ejxBZK0fSzXxekhyjYylaY4ZePzSipgLr8W489Xa++XligiB874OGRZYuwsyMymNjlOtslrqr3VGLiz9L2bNSZrOzMkbxHLejrj9B6h3JB9Jxx6oQfKSeWJGSuPHb9wqwekOtBozAtPu3GKxI9D0xVcuHnEs/tCEu0z1B61xNZsO6kGV8Ju5GoTSxnvabIgs2DyogguaxVz8sGmopgKLC3gVbo7hdTFhIBsulaSdffnBkARXOaB59j5ztCyqmEis7vHWCDn/VyLl3IIaVONwEqpxERMTU1sf+2bfqQRjb574Na2WYDvO3SKk2c7b5b1mZ86MT/Cc0R+tUkbzKZNn8UJyqlbFEyePYwHlOPsnf1MYPM5ZSAUwC76GFWJFVVlqGYGcooaaVUCdf48TfIoUi/cgtsCuBgK5JblSZm9VdrX6YUs9TT/z1+1WBzWEL5r5Yk0lVWlGJzz8pqzMk0gmxOTM7h1VOLYod1w+LFv7/G1J9ssBh6hdBhKiZf2UBYjH1IGL9fTC52X0Rp0Cm6dZgrLzopIGdzkQXoGdiVFyuBWEiW5i0IuUwodXrQTFjIlCzwLq7BybEqr3GqAV49Xxu5lzAlh8xZKddi2pf5TYe/pB6Jo+Nc5gz/02IvUfI8Xdh2l24+ZnnCrICx9EFP649/0VgZ0+fUYuxUaXBQgl+MSpTqYJge2FEhVjB9TJVA7UuKkksTJAZ5pbp0Hla6jc3C7TlZ/UWVvV0V4Xsinvu7ywoE6SBcpJX5WGluyNvM94tMv+ZLVhCU2z0cmlGRKrGW6yZPLZTsGvPO1Xf7kjhra8RlKD1+KPOmjpCAqBXTjTC7KTG6qHnMuVRQoY1cFO9+GfLajZXVBMVaimEVTTKa1fZxCVuVJ7qyUMEUF8H/z23jeMF/llcFTQ4L+IZbPCJLEbgzhAEw1HOo1l3bdDpWxpauFfBj/FN/0Q2UfvOSW2LezwnyzaqBMxTPOA0tRsHnOkN8M4LIAuCrVUDtpXYpLLkVcVbglbmk4UKG5LXu7jp1atdzRfPEbLRY6PtRS96S0wdZLSRSEqB6z0kq4yrYrN3EnmZviMNVW/NPXD/jCgyMW+z6hchgmMrUnRereiKIZW44nVix7Z2/pnM2L3kgnc1ZU+jwde62lHX2dHfcyyIUUpe77bIhnKk0qelyMyRVRBbgwCPMyyFp1MdgLRJbcGW0kUeIT6QaJVhbgjz61jw3rps+9/a5Hf/zw0VPUfVXRu8XJKv558fKfI5c02ZJTOdkloFfvYm2JkiVOKsCuzv4ud7jY4e5UwZ3tbJAxtyox9yoGz8ZNFCMnHGUzl4cOC/YeqaHxEdLJm3OL6sFy/CBKrkbx5cu1KDnI8xR0ZhMWjorWNtjEOFy0LWTHxhGLu+uYxLMsnliZ4pRcnII9y4VeJnMMCjvXpGxuCp9cy2JuZDm2sfsupWAvOVpCFmSUg1uLdJZKpsnFmFQRY3gw+YsMWmWpuxbushXKpCtnIgTgMeidYnr9JT++/pzXPd1b3nXYESSE4WiDp5K39DqLNOpeZW+byuDI0mOFzc0a743p7fHHfFYIVZBX5YkoOROCItgsAG0ZnHQUcNkHL9/TLa1VGdwlkKf71btpaWjG3ip97TgRSkXc/nCLfQt18Ap54pasy8oFy9qrX4WDyo5UuUG7vLtZVkYbOpw3G/L2GwY89mIDtEucWC3uJml2N6lKpYI5y5ZcCnJjqq5E9lymz2W6qsjsbo99kq4YUqSsrrMV1uTEVCR8ys9Tli61t+VtL2VwrylbqturlOM3m2vIXCKXhYUeM5vlW4Ig2hCFHHZmJwztlmHjDKyfEgxCKhJg3OGo/PG1PkwpYMiYa5XuHgN19no8QMsALdYAdv4ZlSg14ZbAnc4nLLbtYDWwnWJAUD7izdEpyGMrT1REvRHy8B7FX3+jyXDkQcPBkQJXVKXJ+Ocvf+c1Ac6Y/h6zDMu+eBQ7TLQc3nXLiDseHPDoHg/TdBkmPp4gv9BU/vcLHVxaS3OQl3MWNvhMLzBl2TyRVo/rEmtnQb1Og0upRUl/i1KgW42hCoIs4oJcFaRAX5M4S8FfptvLWLIzC8FIiUGDgDNLLs15F6cpGQUSZ2UYghuwOIxYGhpbZ+2aHCy5bBhjcDH2aV5qORln/+yLjcsTucbzXIqIAtRSlXZvUCKtTSnAXYA8K5s1OE4xQtlJN2FyVBXobs7W9q6UDTA9LyQKE+54qMGLRxvgugipUlClc0NKwaWQ1ZNaXsXyY1RmbdLJrOWZjqWiIl2yC8PQ4eJzYt76mj7PHK4TxB6JdBlqhZcw9lkyL5wxBrePZuyzZIk9bTRaCVSWQZQCoyyYMj2er6gSpC7NMtTFqrEmOY5L1TLwXyLTWckjlH9P2M8kBajUtvZcw1R7QKPWQcgejurh/Ox//zKOo1he6dIdOKxrFzaRlGU9+c0ZfLXXvXr87lrMXQV1xtjlALPYgaCQJiWrMGfsDODF5NRcoqTMbRnb5Ezt5I/FczcNLh0V4Xshzx8RfPXBBoOhB00XKbLKQUr24BpZzNL3LC9vWS2KRVdaWbhG+Wwx10Tl3T6tVshbbwz4wr0jnjnog+Mx0hIv1eJK2501ytJAJOTygGQsg6gKJ8dRFNJFWjbPVpUsyNdpHkTqItEmdNlNSc+5Lph9PMexCuBjoB9ncFE9fPm/o9Og2qSBXpwY1k1LJngQs/gsUic4w868BVQcMd0sajQqW1us9cdL6B7/kOUPWPy3onIFr8nisgT2subOQW71djmbqdILMasotO1c6XOnPB98DNzp3c2m0KYF/o6K7d2JcN2I2CTc9kCd+56vQ80BaRua3VIJb6U0tnwvv1jjVpmpTVbOSt6MnBiRTyrIgB6MXG6+bMDbbxrwwpEacexihGIoHNyE/DOJpGDx4iOszeTluiKlMua2bG5fC6QWuQ7P/f6M0bPVNmXwfGjnGLgrAWcF5IbyDhjipYC9JlGmssnYb7nSq2OI8bwOWoOzedp2zYShIBjZ7eYyYFurqeTjlq+4yicYY+2xD1I8ty9kGeCltq7yzgIVYFekSjlNX7qrMXCr0t0pNkHNAO2WQJ05J9YxsY9KRXhuxNOHJZ/+egvwQLoIofIuIpVupFrOupYdoYIKxBjAqBSnFcxd0uBG2B0xVDr6Id8n3sEYh/e+YchdD414/ICdJBBpxSARacFXCrokA46pnrfSZzHGWBYvAT37qUpBbzc2kKgsKM60tyxkgjQlUOvC+861eJnksgBz7P21mXtcuohVmEpEut17IghCGMU+SrlgDM5E0w6OCR3JQFgfucywCCodR+abXV05c4vSFZpdHKUVYUx3F1JFpMmCwnrKAJ7PySuDPG1NKzabsjs7FAPwC3BXWLv0mDXWZlJFqRjXjYmSmHserfPc/jq4LkgbXHrClCbHlgMrsSqwGpcnGXhM6UneAPESc9aTRKJVViLqEIQul+4YcfN1lsWHiWXxQHiMNDiJyOWBTDK7MK29SEoXGcWudePWpZJglEEagTLY7KcRCCOsNWdEIVVKQWXB3ul51eULvzTXfY08iD1KZgxTYgzgY6RKGUP2u7mRi+O4GKNxar5Kl3yNIJ1glKeLqinR8oi18RO3muUzS0jkUqW4cLKlquqYVPeIGas/EeR77+S7FytTCi5NBeDZYwXcpaH4uXuiEpRTAngqUTwnYt8pwcfuaBFELjTcVJ6Qt6ap8i7B+YVbrGQVvTJ+M1Wgl2VKeXOAcpF/ocUdmr7k+9464Lb7muw5YS++RCsGibJVhkma/EkZSiSicCtKK4kpndnKjgrpBSdTjS61wUh7jowUFuC6FCtlTK7LsdQaK1sZ0DnATYUEqziq4s1UD2H6fyL/FsYYakbiaRs/qA998HfWNxvefz916vhFKt0BOE+cqEIilK06WWLacve4lCKtFSlp5iwZU5Eb5T0ss3HA6WM6HjgH7tg9G5lQ9rjzR6fQ3dZBqYK7vFdPUUyV7v7gRHkzg+uEJDLkT77U4M++Ogm+D6qGUg4NZagrk46jIG9wdkutcUUmtZyIkhSTYakEqEUsUdiO2UUrJGnjb9ELqaRBGM3WDSEnFiRPPOcRCzt5QAuFELaUdq24Z3y5r7ZMisqqkl+IWb9twfvVzq1yCTClzq617uX/xqQlYOUpxIwNbKV4rksVhFnTdJwI4gTCGMJIEEQwGBm27XjVhosvvfFuZ3H+2KTQvbc1awmJcdJdikv7yusiws+Wr1VrRPZUjOnv9En5edWVqb7Ol7oya1fqwE1Fe8scDIUkUSXtrfKdHkobUSkzJkmySsGMvSNcJ2LvScknv9bAzl+x7J137md/X1AZLyxL37scaIryixxAY+DQ1XLQ8r5GJstqGolOFIlKtXji8J1vHPD5exrsOu6CDDFCMkpcHLJd79JjnaQnLskSPxlUS9LJmLQX0s7Gyj6bTM+/NCCNlS2Z7pbG/g2jU39cpwFqZXWusvm4NNGMvfcS+ILqxVQu9U2STIcbBsMhc2dW3hbro5MOZoRSIa2GHSkQRIIoFkSxQY5ts20FeBXh+WJX0twFwEW+7FRss7IsKetYWX1eBrjtIsn0d+l5BuSs2i3T4CVw24msOn20dqBSGpX53SpGyRiVypNExXzpgSa79hXaWwppve+8g4Y1T6Bg7RIHMXbMiufVBuSKJ16aSOVoYWtTZJHCDyOHi88PeMdNfQ580idMFAiHRDgMhcBJUvuOLNDNHJXyeTRFCJyu+cYIlDH5+TbSfkZVZmJhihS/AC0t8HUmU0o+eBns5RVlHOxVYuQlb+VupAzcUWyI4oQo1vQHMb3+CL82xDHGSolmTaON9cBHqXsSAYkQCG1yv3GtIsK1dFPVDhr/gqsTAWs3N1RZO3udsXYG9oy5c6CrMpMXultlQWS2xYnUOLIYmq9UgutGHDyl+B+fazOSLtkEraJrPl1ByjXQpe+x2uN66ZNUjJBJ3YysztmUalNKqftyfUqiHeLExU9i/vW7+/zVPQ0OnHRARaAdIuEyFAKVFI6GLAebYyDPvHkDONkFl74nU1wYTMramSeuK2xu0r+jpUCYYvVYbSasZu4y2HmZQ1iezmvHT0McG8IoIYgSglAzDGwgoJTE2TQ3ouePCLsB/ZECsqUw66rI7CReFuCFe1KSJpS+WPY8rXJbiwHLwBZjrJ0lUqrg1oVEkVUGdyr+dgrmit9dukvL4q4T0g01f/SFNifO+qCc1BqUqTwxFd87f15abqssJVYvueMnjPKSmzUelHs0s5Mp83veDCEVSeyweS7gh97Z41c/5tGJbEBgjCTQytqGSfY5DCSCQmEXIC/+3/5EpWhK5zcVj7JwfKQ0BYOb0rlLLUOTM/hLBJwl1tYZN5Qx9BIAh3IvqSHWmii22y32hprFTsKpJYN2DU6jvownlzAbOhyfdwkjj1FYPllptkistfNZcZjE2BVYAXUJ3ONgGGfuDNgFaxdTWnP2TgvuC0CXmNzRKaPrXJpYOaJLUiVj7Dh/dFSE40d89jafD32mTaBdK0+EyuVJ3lQ8ZolVdHcuydbyANY+WVWrsAz6LGVvdzvIspt5Cl/brcBrTsyPvKfP3iMeH/2S1eKgSIRkpG3AKRNyBi8KsLITV/hjZbvSgrqQLMakbC4KFrWkY0tdTSXxY2VMXpee4kGXSa4iUQRryZXxo1d2nbINZI2xUjqMDN2B4dA8bOpH1KIA56N3eNQkXLa+y4aZFgvLXr7jbObAVP/gmKYsf8DShyrLj+z98dqE1YU5ZkyimFKQmW7RXd4yUJVdB12SKhmYS0wui+rAXHfnj3bW4NIy/NXXGiwHGbgtwF1ptbcjqvKksupkdtlaS6yonqDxoD07aZWqvvGtF/VYnbiUKK3Q2iFOHCa8hHffOuDzDzRY7CmQEWhFhNXj49WF1UvupZnc5oGKpFBWn5IFmyZl8RzQqU+uzepzLrNSWWNXEy1LA/TzupnVWBJr8EN2/OyFYh0/A5xclszMDXnPG5a4/HyBMxpNc7bbZfF0yE2XjlhYmaA/tPulZL2blSt+LJM0DurstYBV7WhrBmTltqccMKUREdJUtHdhpa0OKrPhNAW4k0qAmQWZ2T43Tom93UbMbd+o8ehzdXRJe9umhkyeVOtN8tas8VVMUFnRXjpoStkzl3+FRBlvhqiMTDASZQpfPE5cHB1z/WUh3/bqAR+/3QMVgpAYIQi0gxLCbkGSBZqiAPW4XMmsQWOsXZsxu5KFjDKyVCgm7YyXCnMbixNTwoDOSCxjazOGjxKhjmvxcm6hTBwWE9ZaFsDM7JBrLllk+9yF1NUkzr95Z4+zSwP+7A7Fb32mzs71Ec2aspuOytLwmrF06jg7j8uUcU2agT8ris+lyhhjCzHG3qIK7MJFSV8rg5OOGJMydUykSXV1SZJkjoksSRRp3RPfjThwVPKx21qc7nl2v2tpB73bgbrltrS1V6NKEPUS7L2KhSgtuSVmXzWuLNuCsdJ1b/fPsY92+5P1zYTv/7Y+Dzznc+CMBBEBCo1kJGRpEykol9HmNmb5givzeZ7NTM9Dmc2FfZ6BOZMt2Upsf5bNfhdpkVTpvVQC50SZvz/G5CaVOnkwW7hwSoFTE2xe5/CWm0bc95zmI19uMtFu4wyTZQ6ejbj7iWnCrsv6eowUUANIkz6rAMvaz8vgLgMaQWmJrOrubOnKD3xeX11ibpUBfgzk+Yzs8edJrr0zFneyccAqRskEJ7UFPS8iSDQf/FSb+56s29426VjtLaXt2hHF/JX8s2Yry/ixGGPyMs5fSktW/PASeMaTG0UZrW0305mjkmhi6aBih5uvDvnh93b5+Q96BLG0GSgtiVNXRWpR+mwmXZGrtRhKlpmc9LUoxQZpd70BI00aYIr8AsiDzvyiN2NOS/kYGTSiQpiVBokxxZDtD5QdVJmOxq7XYHpCs3na5Y1XKp4/22Wol3A+ePs0R44b5s80uWiTnU6aaINJEzyCKmu9VI0vpZ+VgW2v3JewBCuDfdZg79L+83IteSJN3u1tt83WJYlSGvub6e50xnUeXMoY14v5+uMun7+vQRC6UHdy7Z2zdx7YUrmv5e1XllWonKBx+i4XNuVDJyvgBqOyKsNqrXiiJVJbqZIBPY4d6o2Yd9885M77htz1uLK2IRKEJBIOw+x8pp+yqORL2VqWSnlLq4y1CDNQp59Tgkq/X/bapNIkA3p2fo0QKXOXgt0xCZuB2IzhahWRygLk2b+vhM3VnF6qsWWuzWWXJjj+AKft+Kyvu2yfNbTrdla2SmsOcmkii9mAL7tEVz6sWQPQq1lclPV22VuWJcci07/5fur2da6980moBbAdNQZ0VYDbScHtuRErfcNtDzTYc6pmpYmwJbEi096C0gQpswrc+XfLpZooAf1l9EkGbmNZM7Pkqvdib9HVw4GKGhUpFVInSO0QBQ47N0R822v7PLrLoxOm6Vdt9XiIItsHQpJ645Uy2oIeDSZtJkgvSGndFpW2tBVsTu6y6fQY6cwfl9aBK4+QyAFsCobP44Jyx08ubYpjK7FAFqnuz6RcogVBJOn0XXQyiWzO0GzP4GybE9S05NS0pFGzG566Tro/YqnpYTx9/nKglmsC3x6IjN2zIqUKe4ssqCyAXYA788GL4FLmg9lNhbErAWWWyCm7KNJ2ymsS/vT2Oh/6XAsjHOt7V9ibQnvLNT732HKb68Ui9bU2xkuypMKSFf2dMfnqVjadpe21RicSLa0vrqQmSlyk0vzIuwbsP+nyoc87RHEBco0gEBKlMxZMwV1ubctBneoK7CKQw1+kKf2MzUkzm6l8yBqBTQ70LPOb5lBFobHL4C5fBJR/ljkyMvu3i99JEogEyBhUaL9Rr+8jmw1agzqOTjRgaPgW4K4r8dLJq+VRxOXhO4WuLiYUrc3o1SxfhcHLQWXpvczjzpi9mImXet9jjonMwK3G5MnYnvUq3XvGavAI14vYf1ry+Xua9Psu1NVq9s5rvkuriygSPPnFzernmdv0zTjcFBqgJAcyLV4tNDJp00EOdJkBXaKl1eJSOkRRQqsZ865bBtxxf539p9ITaAdUkwjBME3PCQFCp+A2BdhNDurULSFN/uQLTuakZKl7y94qBWshT6pAL3Ir1VW+4rwJmwktsJV+pjRgzS4qlR/FlFBMOlcRaUtLMDiu6+G5Lp6rqPkOrivyedpZ21oxsamQFeVgci22Hmd3KUpLTYUBTUWeiHz2XeGe5ODOmFuUB7NnzomubLchS7JEytQxSZnccWKCSHPnI02+9lTdDgeXrgX4GHtnRV5KCCrBcH5RV9PPGcLFN0N2ldCrQC/dtU6zh5mTkm5FYnW3LmSKliRCohKJFooocLj1ypBbrx9y7MsugbY6PK2EIsZhJEDq0rZVQuQGdpb6UfkylDkqaa24IAe+EaIge2PPqRFp4FkBepFR1Xmyp2iSRmDLeiv4ETnjZ/+WyWIVnV34Mpcpsc5283Co+R7O+edvW3FkfMfp6cY/k9LgOkWp6nix09rW2BpsTQHkNdk7BzOl5SsDfYmxc2BnQC/KRqvOSVV/qzz9npSex0hpO3WkF3Pv4x6/9scTJMYpnBOpEELafYBEkZavMnjZ8VmbvSvgFt8E2RkDrpIppiJXNNnUq7QYSxSOSq7JpfXGhXaIY43nJfz0D3TZc9zh3sck2hMpZO0XiLRiWBFUpiRL1tDkuReeEl/2edOAMtPhIr0AdC5ZRV6nkscpeTq/2gRRmYAlVoNdCIMWWUWj7ezX2nbzKGV3oos9Dy3ad0zObF1RV12+rT/sLx6o+eKHlYhsT6ZbqnF2MkuuaOqtgF5W9WklOZNfJNVKwDxYLO0WJnPAli3AUiKnFFDmBVUvAe6yVHEqCR3ba3l8SfBrH5vggaeadlMeadvRkC6OFNQl+JJ0kyuzuna7ck8boPMhOdVhRFnNu1RjDdMlXV+8FqWL3qw+rhkZlOYAinGpV/6ZgdmZGN8xPPqsx8pQji01Mp8iXlQcpvq3Avy/ydVauhDG5Ffh9Y9v3T62K0j+u8XfKSfBsrR8teCqKOuOtSEMExAuJ04ufP/Tz+za47QbiW1Zi+wAd1HesavERhVLsPSaceaWa2nvYpRXLktKDJ7ZSuVh6mUGl2to7myHgTXvqhxYpqWw6fPES/jYFyb46280MTUFQll0CgchZaXfsuhvfJmO+RL7UEmzVXFRfttQ5cZxQNjn1W778Q4fnc4PNClzG6OLGhUhkVqRCAc5THj364e8eNDlAx92CP24ALgQGO0SpLUzIsuvJ9bENpgClGkrmSHNbqYD4k0mGTLZkp5rk+rs6oKQOi6swc4mi+2KRE+1NqXE/hiSUvyX950K0FoT6xjHscfPyU6MklD3dW7Ylw/8quu4dAHkXvfLBpgvA+wUwGVHpQL2zO8WKcBL2rvC4DIpOSllcCfIUu3JXY/5/PGXm4ySdAq+yKzBNGspTEV7r5maLwOd8e9dffxm7GfS4C7znldlNDGrSmiNLGU2ZclZEcoWIMm0OEtqEu3gu5ofeHufh57xuOspaxdm3jhSoI1DoK01nBeRjFuHKVJzKSUEikyalECeNT2UNHf2O5l+FpVjWVSimhTp5WOaBevFETSVIzpeQWOMHdGX/S3H92LrLjoxeAmkEWhe6JMxS+krr64RWNs1qc6Krn6xVQAv24NlcItiZy+1Sofrqgc+zt4yKQJMJ2IQwC9/ZIKDJ3yMU+yWXNHemUSqAHsM0KwB5vywVM7GywrycSKpZjTLxVdlPb66NkXLtOJQlllcIRKNEA4y1Jy3OeI//6sOD/1Hn94o/TI6T5eQ4DDKquuylKMuQG4koFNQG3KHRaUBpZGkXUkpmNOalCLJU139ioxmYRNmMy0rzF3eGWJsxcvkT1a7o7WVK1IlaBRaa5zzz60jpEMw0nRXQuLEIYrtDrjZFhfl6rcqla/+QFlXdDmorF6x1TnSxa4Ea0kUXfLBS32JKZvnzF1xTUq786aet+NExAn83mdbPLW7Zj1vmTF34Zy4oipLlKiytiiDfYy5s3W2PHRzLb5exeRjzknRAEFRzGREsatdudpQWAbPg04tLcgTiRbpPUmlitZcdVHEj/3zDr/1qUnCJGVxyKPCBEWgCxmArII8lyiixJjCbtBrymwuQeiCuWXquuVZzjLASe3nNG1ekObqor7yMcvYOqsLjxN7H4Uav9mi7rcwcYJz0RXfhuO2WJl/isO7v8AwbDIKFWFEuqd5VeivxripfIicsakCfLWDUgV0AXgzJlOq+zMW7J0Uuryc1Knc08CylnD3Iz4f/WyLztC1HmDqeZM26VrnpMhalkt5VeVzr9bf+YmphGUify3GTs44a6/CewXoBcirrJ1Ohc0kSTkJJKyNmEiFNNrWq8SKdk3zg+8Z8MQLPnc+rKARp0ydfkIpiLVkRBZTFCA32NJYctvSet5prGpX+0zCaCrSJHNWslisDHQhwCRjZJFajek1tSqAKcs4bSywo9gwimB+JeFd77qW1990BcsrPRwh7VItpKHm95COizY+RtvEaGaNviSLZ+QlyoHBywO7bAmKcVlSkiSF/i522LUAT6p+t7RWoMz3VbeBpZQx0onZfdjhf3y6zf5Fz7bBp363fZQFe5ccoQrI15InFWkyNq1p/KSMH6yyu5CBfEx3V52HtdL4Y0OCskIso/NNZUUmVYRBSAcZGXZMx/zr7+hx+LTDvhMC45QFlgDpkqQgZwzkpEkglTNa6ndDyuIiDzSzZGDO4iXpMg70Im2/RvyS/mxcluQuSoJ1T2LoBoJOZBCOpOa7eJ6Lc3xe0GpJHt8FLz6jufUqnS4bxha6i3S5yRpQx2lHFOdyfGetCsDL9lVJnlSYO5UqKpUhBZvrXIsrpW2iZ1UypwC6UglSxnh+zOmO4Jc/3ObzX29gXFWk41NpshZ7q9IF+M0KzMaTOmVGr4jH0u9UeGIM7PlJXFWTUtbhGaDLAWjW+WMZXIrseRp8JpoYjSutq9IJJD/1m4ozKwL8Mt0KDE7O5IU8SS+07DFlbSXB6Ey+UPjhoii2yoPMknQpW5n5amiKY1cNLFevekXjscl3q9NCcOv1Pa6/dMjspKbuxcilrs8oapw+frr11TOLF3PsdMPWLqSAzbdzVlX5oF7iMfdvxxoS5CqZkWYkS5535ozI0nuqHFRmFYNjnrfMgkkVp89trUmI5ksP1rn7sUZaa5JZgjJl8Iy9i12Dy/MGy8voqrLYkhan9LNx5s7Bv9bqZ6onrDo7JNv8tAzygrmzTp9Mjyc6S/yUUvtGoo1K37PP49hBGMmbXz3iHa8Z4IkY4hh0do/AxBhjiA2MNARaEGqItCA2EKdD+u3zIoOYVO7pbhUp0yYZIMtbFibZ+zY4zH/HkHeVJaV7/t8mBbiz6gLXgc2TCbdcuoXzN/hfXTflnd44pVAf/sPf5TvffdPKljm1smFKf3e/N4/vyVUFVZnPKClS1JXtMvLAMF3aM9BmTChLlYCVxE4J3JXXZSvQFOAeY+5yR7yTgttxYhKp+cJ9df6vP5zg0Gk/bWIoEjpWlgl8CTVpB9k76Ri4bLZ4kcwpRsNZ+7CY3ZhPuRUgpSTfVkVUh/TbwUhyLCFGMQemkkArBbRrZJErvry0NdNZILe6NHkNT1kbptsJF58fc+ysYt9RxyZ8KrrA/keZA1KMv3iJZamyjI1rMlG5vs3Yfa2kQFE+XL3wdRp867H3lQRHJEzN7qQfzf1/nnrm0CPXvPpmu0fP3GQP5XiouI+bBCjHg4wpsFFxPiPDjH2SlOmz71h1T4o9WoqKQTOW8CnYvOp/pzJFFa6JLEmRDNyyFFBmlqDrJhxakHz0c032HPChpXJJYhM7Vntn0iTvs6QEmgxAZeYu32Up2k+/fPmUj0f+WbKi7OauPukCO4y+dKJLLorM9Wc1fS+F3SBVCpN74yJj9rSeQAhtp14Z641HgeGiHRE/8O4ejz3ncXi+tFTlQaeVITGCkbDBJekIN6PLdSiFLs9rVKqqx6brpf1ZltSpWIZQvG/SF6sXxOLC0GPBphZ0A8OxMwET0wNGo9ImVOs3X4RyGtS9ISJ8gWGQ9ftl05VMfjUV3ZmmqpXKwMZUXo8Hk0WgWa4cLDF3psWFLoCes/eYLMnfS9lbJSz1BL/zZ23ueapWVAlmGcsU3EqS7lBcHoNcZNaUKLPgaltwLeCPW+B/01u5u75SVVhxDFKy0RZQOp0NaEQJ/KVMp0xrNoQ2af2GShsOlL2MhCYZaF5/ZcBPvL/LL31kkuVh4aZYuhQpyB1iKXIHJQM52gKZDPApWWSfMdvzKr+0kzTDKVP8pO5KOcDMEkFlPT4OcEzJ+06lS5QYuoHDpq3buP7ay+j0htk1CrXmRiZmLr3TxCd+zfPcUkawyry5vVfS2atsvTGrT6nMxitm6+WVgSX9nv1e4ZaMdeWsqg7MnseVhM5IGj74uSYf/myLXuTaYpqMuVPXxM7uK5yTSlFVBtyMzSvFQCWmXhPM1TnXfxOkj3fX50DOflZ2W0p2YeGilC3E8cm0tpw2a2/LBnhqU+zB2XLgh9/T40fe3aOuY2tLmOwxsrrcxBhtNXmQavIovcdGEGnsLHNT0uLp/MCyNs81da7RC82ty8/HHle7R8Vjom0cECUGt+6z//j8r91w7cV37jh3YwHwRuscHvvafx2cPh0cGkUNin3Is12yykmaMpBL2nvcw36ZQDQLJGWltaxg7LIFKDNAqyT9XFkip8rcUsbgal484PIXdzboRulkTDJgZ763RJBKk/xuCl2bZjHXzFSOR/glF2WVtVXB98sjvaI3U4bKu+yp7mVZXASlpuQc1LL6Oh81kb2nMGl7mzYKoxVxpGg5hu96c5+LLwiQSZyDugr2pAC5wQadKbjjFNh5wGmqwWasC2BXgsh8d+cxoI8z9Nh7FQ2fXtSJhtmmi+4vH/qeH/mlwQXnbS4ADrDz8ndy0VXfwYZN5+OpwNZkl05W+TRVa0zKmceSe1LOQopy/UjJHRHjYDZjwC5ck4okWSMV77gJLxx0+bFfneK5fT7GlYUsyRlclmxBkw/yGd+pYS1rcC2ZUknslAKx8kH7G8kVU31a9cXH7cJiC+7KJq6lvs18YJCRuT9uSpOxtFbp+DdFYhx0qLji/Ijf/6kVLt0RQJQUIM/vUQp2Q6xhlDosobYgzx0WU4C6yuYlR0SPuyPFnvPjQC9//7JEyV4Y7H/TGyVccsmF/Jsfeg//8nvfmR/PHOB+fQa/Pofn+zhuZHVbSftl/24Z2BX2zoBcKZLSFfmSM29FAlVZe01pIpPC+1YFsGWa0HFcTc9I/uBzTZ7e5ZOoEmuLot4ESrZgBdSli7TEyuNzB1eNhaiAvXrx/03I24wBu4xwY1az+mpmXy1ZyvttZpNps/oUMzYZy1qIducIkUiuujjg/3hXn5ZM895rsLi920GtYcrmZfswTu3DTLJkMiRj6gzcZcswH6Kp1wZ2NoQqa4KndKzT0IBRDLV6nY0bZtmwbjr/HSdHuvRw/dr+k0uNAyfn2zsaLsSJyv/IKmmZ6VPIg8Qq+FdnKe3PdJGmLweZKaOLUqCpsuzkeHApElR6d9yEgYaPfr7Jp+9uEmRgHmNuhLXo8oKql2Dvl60UFMV3ryZzRH7AVyP7m8mTcfYugvhxHa4hH2Vc9cYzwBu0FgghkWkSSBiBSGtUhJG2FcwY+1ynQaex47I9YfiOWwfsOuLw0c+16EfYA6ZTKswe04axRMs8kMxS9Trz7tNji7DvS9LPmSaG0uvXvp9+L5lZkmkfqEyDzuyxLA2zOFgKSIzmmktcLr/AOeA6tf2+F+XHNG9r+6X/9ptsv+jmA6eX2+vOnA1u0dEAJVVef5Klo4t6DJPvZlspksoBu9rnHtfmMit/LRVSFcmdMZlSAncuS5yYfgQf+WKT//bhCc4seaXunCxbmb2WOMI2MniVRoYsRV9uvsg8+7G0vazuBTm+xUqxKcDYxgGiuiHA+M4VlUIuWTrG+fPxKa3VisxyUJydm7LTU8QJWVxV+ndI309LAibbCddcEtIdCF444BDG4xrVVK5yg7B2JWWJVrqwRe635e+abyrcShJvrXgnMwUkuErQqiW85cZNvPON234vGuz/owsuvG41gwNcfG4b16vdvi+qvzMa1q8MwihtPta2viBlliLoMmPsvEYaPk/B61W2YOF9V5nbPma6e21wK5Uga4a/vr3Br/xRm9NLLnhqDfauZixdUQKyGNtnJ/1ea3vfovS9K+cgP3Fi/M3/yVvZ183eMFm1EuPMXRqSqU06VUrYbbRFEZgKU3jiQmSsTfooU9BbFkc7RKFh41TCz/5gl8Wu5BO3tewUqMwfrzC5vWkkETYu8ESp6Cplc5X2W2aeucyuxtJKlX3/rDVaawElJi9dMvk5UFLgKkOz7rHUqT19+MyG2weDYeWYyvKL17z2Fg7suvsBJUaPSymL6FaTr6VZwqKSzFllDxbBZgHYcnXgSzC0KAeTLw1uKROUr9l/3OHjtzU5Ne8V4BZjd2kLxhxROCdOmpgY79QpN0LnYKZCWCVmERUHZdUZ+BuA+WV/Xop/xrN2qzxystT9uKtSDjyLgDNP3aeWYTapNnNY4lCycTbh/f9kwI6tIYSZ9s4clqRI7ZsEjM5T+4FJU/sGovQem1IAWrITs9d5Kn88uMy/E5X8QBEjpUBXkk5v+Phf/tXtD9x66y0vDXCA6dktTM9upVbzyWbGjVsC44VURUCWBWsZWKsAzlrNVpfBjqXfhbaMvwrcaVe8pzlw0uG//P4kX3+iZnVHxesug9x63tkYCGcsFV6p8V7jdb7s8xKVhVndsiiW4IqtOKbn13JJsoNbmZNixh8Ly7AM5MJKq/5sfJ+bxGTd56Vdk6uKVgAAMFpJREFUlMe88sTYabVaK/RI8MZrRvzij3U4b3NonZUsyNQllyUHuc1yV0BeclPy+pWSs6JLVuJL2YTlvECZFTIO0drg+3XO37GNHeeds4oonPE3bnjNTUjphLuePs2hg8t5FWEV3KbK3KIK7mzsQ172mj6vyJiSHKm8FiVgy2TsdYxyNYfPOvzXP5jg03c2CEW6G5Wo9ldm4JZY9i7qvNfYfluYVZKENcBZXh5FGcnVp2vfyj8co+/s5AkKtqr8XlZCmzsq1Tpxe7GYNIOYZTaLRgipU60sbMAp8kyotFlRXe6asZIl1lBzYt77pgGJhp/7vQmOnBXglqCjk1RPGGye3QHsRRWlB0RLgcbgYFcaG1QaVDrx3jZI2LSlyaLo9HBp7D+blxCL4piY7HcM1Kc2cuub3hxGcfLNAd6emgam/6NxL7wkShZfL0WvVPBT/HFBytpjGcxqur1U9rpKh+uKBs9YX+QMXk7sZEVUCUfmXX76dyf47F0NQpm2+ou17uWMZWl4vSgKxlZJE8oB3JhjUgF8la1X0fbf4jaO63Jd+Oq0fQpFY3IJI8bYO3tPlLS41eFlkMu0zrvYXlAIlTcUx7HBdRK+661DHAU/87uTHDnrkc5hXn2xapMfe40kxDK0SXW5NvY85KOXSUdPpHrbQKrzi0A4B3l6WDUg0oYKbTQb51q85uod3zh/x5b/ePpsf9VxXSVRhJjhuSfv7tb8xp5GXSW+m+C5CUqZ9EQXj5XiqbEqwLUckfx5ubUsswLHwV1JycdIlXBySfGzvzfBZ+9cA9yrbEHrcLiy2qWzFntnYC5X8sG4FBnzv8vHrATTCuj/J9A9HmCO++LFm9a1KMuUTO5oqkP0s7mGhZwpzTksDc3JEkBZSt+kmU5bXitxEviONw35v36sw8aZqOSJlyVK+a5TXU5ecjvSgtAIq8t15pmXU/kvI1OyY5Qei0RDFNm7wUma9dqe2754Z3fL+tY3B3h2Yk3S+bHN6+WzG2dHTDQCHJXtgFj+vUKmrNbTxbSpamCZAbtcQFVialWAOhv5IP9/7X15vBxHfee3qvqamffm3aeup8u6bcsYY1nyBdiAsYAFc+wGCEkwywLhJotDwpVNCJDlMISEbDAELx/WYEDYGAI24AsLEPjC2Jas+5ae3v3m6qMqf1RVd3VPP+lJlpHtTX0+82amu6enX8+3f/2t7+9iHJFN8K+3tuDmnxThMxPQVubZADdp9lhmeXeaVycAzSsPYerfefyaGDzuJPGd9mY2OXXSurfpAIodPGi24GbWT5Ikobm46dlMezwlF09c+jyisCKBV19ZxZ9trMCKIhmULQwezg0XvzBAr9qM+DyJY/Hj+HLTSQTDxU/iSac5udYULoyAiRrB4SmGuij+7tjY1NtmmrTnAnz12hegtTgWtffMEY8eqMGPaggjqhKRpcUwnTrpUNbsexXWygxVhPDEG0mMMg+xhzJKJpeMAxbB7fcVcNPtRTSorghqAtqw3kioSdJXxwA0TKAbMe60GbSmw0cbZZNrm4DWGzSFyc4G3MaGKZpiWPUm1UTqbs0Rh2ryZlrt2KuZnXzGz0kwlrTg2p2vrDmXIHe5wGuvqOIF62ogWmITBtCzYOfamsv5QqAnoEK6+GOlJY5fISmQm1ZcT+Yt1WgXdoilS+tYsXKhODzpRy/feEXu+bVmPPOtz0dtun7Tt+/efda6JUdLiwYcFDwOz4nknK5JGkyKz6f1bHOCaTzHtEQv5yAk4d2URGAWB7GAH9zr4S++0IbHdrkqYTgH2PH7hJqwpomlacEz6WgQKUAnmE07WbK8JeW6z4D6hODOuDGb6QlJNHCYE8uMJq4z2FMJyiL1zFN8HACnsYOHQxUmjnm5/H05Z9JqEoAIAREBqxcF+My7J/EBBvzw3qIk0Wym/1T7XxVpF7LwJyey2ZvFZVwQJyLJ54wNhUDEVQM0tYxRwHUI2hyCtXMp3vSyQmXB8rU3EVbEh96RfwR0hiPDwvlDYtvWHde/5oq1I9PT7ZiqWogi2eFFa5Dpyq4iKZtmSn4pXdt8VhaepHVvSpUbnklw33JPAR/8YhmP7VbgbtK609SEUDWphNGZQfNvZEF9HLqRp6qg+WEOknlxXK1bHGd5JkZFxL+8MQHNXBAplz3QxL1jXdzk4yb3FkaciiEfckFVp2VlyX2KFQsCfPIdk7j64qrkFjzLwY3gLFNaVO+FCtjyeZIS14jy0+JSVpzI1MLWAkGJFTBe3zDyxLbd17d3DM14qme24ADWPXcFqpUpBFMPg6FiWG0eA9mKyxYnBXcS7yQ3rLYAMcNwldWmhIOSKF6X0BLglnsL+Mt/LOP3Oxypded4KGPLjbRDJ1v+wSz5kFtIdCawm5jNSIg5wYMG2mfo7JAD6Gy1gtha6/cGDYmL5cfbmdZcJIoKybPmkmcTlXlvqiwQFETIPEciqBRSVLKEaiifzMF8gdULA/zd2ychBHBbbMmNAyYiCTQhXP5GumAKkf5KLmSVrYjIGt8OkqL2mnVT1a3ZjDSsNzgmqg5K7YvR1lY+7uk9LsA7u/obfqPy1sGBgW+PHt1asi0OW3UNzjZTNYvuJBIgj2PKJbA1FdHLEpATGslSkFRqST+8z8N1Xyjj0d3aS2mAmZhx3groKi8ynR0vOXccMYi09W6iJKkJYwbMWbAjnfigr4DsNrPAd4wJ830M7Hh2hUQPh0k/TI6eKCqJlRcxLZEyoQF2LRsall1SF/U/UKmRgwJEyAwveXwMxA+xZmGAT/75JLgAfnRfAXGcg74NaY0PquyVArYEunzIACwKX1BpuSlBFJ8H3aNHhldYVOZHB4yjf2CgAuCtg4O9jVMGeLUyznt652+hZMPklnt2lFynCtcN4VjyYdsS3LYVGvmRPOHUNLHcsuJVElEIZK18BMqkY+Dff+nhA58v47FdM4BbZ+oa4Kax9U6noDXHeWcTeJPJZjZiMK53EoM93ZBLQzkG/Ey8JbMsw0KMFSQ219lQ2vSk0wC3eTFwYxcqj5MgAXpKI9c1DhUX1+gkVFtxae31FxMhVIyIOl+cAX6EVUMBPv3OSQhBcPtmD5EQsbNGHhhP7rRQBwmd0Kp02Uj+lpxQNARRrn01yWQC0qfBIRO5BVpLNl50xaWTSxcPbRkbneCnDPByuRuWbR+bGPGvWbFi2Z2V0Xts16GwrQi2HcJmMqJP9n9PAB5bZQVoQD8jBntsyTWFUeD+2W9cvPczZWzda4JbW2xNSyz1XvIOAmQcOmZtk0zUnWm9gVxLngZ587IYu5ntzOUnO0TmES83FjY5OGFYamJeAAZVEVB0Rbn1VcF7nZicF1MOFVYraxdK/yOHtOQUQior+gB9jpULAnz2PRN4Rwjc+RsXEdcgV7XI9WRTaGATxEVTImJcABSCWAgFRUVQGbcS/58UkRCYroW4eMNzgkotvKatrXysVCoe97zS4620HQeNynb0Dsw7MH/h0M7eHoaCV4PjBHDsAI7jw3V8uFYDjt2A69ThuXV4bgOO04DFfFAaqHolsnWITj9LUs1kyCxnBLf/2sWff7oN2/Y4iMtMZSTAZv6NWPPWQVRpq216L/Os90yUpbnsWi6gTeBnr4BkkxOCO899H3sskeXbJObjWSmRaxkxIxkm9bXzYlmS7J/YOaTiVhK9XMmGpnau5EPhE5w1P8AX3z+BF1zQAOOmhJhNnNC1VwKA+wBvAEEd8NUjrAJRHSL0UQ8jTIYEkyFBJSQYqwr4TjuWLl++c/HioQMPPLoHtm0f99weF+AAQCmFP/6jPTarXNvSsRJAANsK4TkNeE4DpUINLa01tLZU4dh1TDV8TDR8hCKAW/DhFQPYVpB0WKAhCAlBKJf4dABuEfx0i4d3/+82bNvrQOSqJSbI9XqSytDJt9557njTMov0MgORTbQFzZY8DV6R2k6unxneoumFemuY8SxHTyyiVksyNCUVkAXDMptOIFMPp+n3hnqS7ewmLxID8IazCD5w1rwAn3vvBC5/bh00Up4coR+mkhICYQDUAqAeoEAb6PZq6PKqsMMqUKkC1SpEo4Yg8DEdCFQigkYQYf35SzFW9a/98s2/2MMYw4mGdaINnOJiBME0LKt0aKp21z3M2npxS+Egip600odGOHYfk+jZu9/BXVsccE6wfFGA884O4Dkc5wyFKBQEoILQ9G9ObYK9owybH3Tw0X9uxbY9jsqlzD6yLnnVj0AB2iGApSaTpvVmKWqSkxyQCv7PlwrjYXgz46KaJl0xLg4dhJn6+AnOc4xpkezILNeRcOs0BwfJ0BQhJJ5YYvXlZFLfFdL6uA5L5UryIBTGBJTKfVHN8UVcMkWl6IBAxJlENBRYviDA9e+bxEe+LPCrB13sHWHSAumrPgDABQoex9mLQ3gux9qzfaxYGIFz4OdbHOzfLxNVdg87ODhSALcLmPYdrJjTho0XL7/nVS+96NB0pYbWliJONGbNFqeG7wSzWq6ZGL7z29WxTdh3jOKhHRY2/97FQ487EJRhfIrh8GE5MSmXQ/R1h/DsCC/ZUMNVG+pYuzREa5FDhATUEdi238KnvtKCW3/hYXiMQeTRkqw7XmfGK4vtUFm0PubfOlNHJzZoqx6XZc50LabJstSzUb0qaTWis3HSmTxMZ/NQo0UJTWfxpJYZmUM6MyVZlmn3MtNztloYM0MmMllUJCk/bdZbby5uGhnvOdJxRdnITiOU2YjjlyoYMDxu4db7XHzqX1vwxD4LcABEBOUCxznLAly1oY6r1tfhWQL9XRzlMgBOcOgww3hFWon7H7ex+VEXDz5RxON7PLzuZVfiqssuePXUdPXm1119waxwe0ILrkdLxwKAdWzZfejYpm/+9MArbv7pHuw4WIIfan1Tmc02eUuaDENM7pcm+/c7bfzwbg9Xrq/j/W+sYGAgwvZdFj7+T634zu0e6pGqwkMoklC1HL3bCM5OYk2QUk1S0YKmpda8e4ZlaeqR8A9tmUl25mhSmlwh/NRHVmFp9kwak0qk5cSYkkCoUFO1LSeqMZQx+VS6NyDb9glVnVbuiCr1hMfURevaRBW8hJp4Eqj9cCGl3lCgryvE66/icG3gY//Ygh27LPQPhHj/H1dw5UUNrFrgg4JARAyB76AyxiAERUeJoKssFbelAxz/ZUMNj++tYN/0OWjtHdrU37tsS8MfmfW5nDXAibUQt965e8/yhc9/16927mIHJsjG0PZBHCPgP5ajIoAGgOUDXNKSR3YCOw4wTNUIXn1FHV//fgHfucNDXSiOkeIIyaw6AXcSo5lMKqV3UjdrjWsHZlSTFPemSNOQ7LNy9af07Rw1pUlRMdbPGu0ivamI95RIgBqgJvCbJUaDc2sHDycJtdD74lBhq4nkQkTSJgWxkygTuMXVrUzLh5yqtyL+TgihvltW0+INwLUErnlhHYIDN95SwDVX1PGGq2souhF4jaAR2YgiG2FkI4xUogWXZ1fnjwoAiwY9rO7oudXpveBdwLa9hKyaNcBPzNKN8c2vfQ6Xv/ilE+vPnb9mYuTYxfsPjcOxLBQZQcki8BiBzbSmyQwpgAOUI6wLVKrydn3HZhfD44qfGdVem0NfzbqC0lzo5OE4UlCHxNJ01GBcc1An+MY3gSTmO25RHlMGkng8cxJ/dWtzyfPVa3MdIU3vk4tGv89GKyIO1zXvKFn5ksaZRSR3fXMOqerCBmPSS/X2eW0fjcvVuFhTIQt6tS7qmbq4RWrfEASOAxSLQBACV673MdATgdchO09wB2HooBG48AMPjcCBH9gIQgn4iDNUaxTVaA1Y+arvVqcOfrdUPv9kIDt7C67HOUv6sWjx4CfvfWDnogd3T7x2cmwCbSpMREDGEFRCgvGAoc5tCB4AAnCpwNq1Dbz11VW87LIGykWB//WVFgScJHJpfBZV+m+sltAUuNNVqZpzK7MAaqIsQMpKz+TFTFEQGNukF52eocWRlMUmRkquQUOQmXCm3PKIzXXcPx6Ia/2pUt6GLi5AqEFZYrqiPJuQQCVNllwGZVGalKcQgsaaOxEChAF+A/j6rR6++I0SfveEjbdeU8V5y+pgRBYMDSIbjcBFw3fgBxaiiEEAsFgEz6mjWOoAKy24iZYu+CRv7D/p03pSFhwArr/+c7DnrG8sXzLvh5sfePxSFjbmdxYEWjwBz5YlGeTBE9Q5wAMfJVLHG66exv/5y3GcvzxAS1Gg4AG/ecTBoWEmNW9TMaHmhFK9h5ycOVo1UXUFLSpglmAzs+WTvpJmBn2yTaoEhLLSqZiVeDuS3kbTnLicQ8aCE2LcDWZhwYHcZZSmLzb5Pv353OL8Gauss9Lj7PTMdqbgH9NNddWZtCtRo+TVmLSMFLHFN0MzqAPcv83B9d9owc4DNh7ba2HTnR462jhWLQnBYKPeKKBaL6BS81CtuajWHdQaNoKQwbGB9g77Xqf18leT+q+mO/ouOmmAn1AHzxt/9ZYXo7OA6qff8wr/vMVl9JY5ulsJOluA9pJAW4GjxRZgEVAiPt509QQ+8ZYJdLdwWBwQdYG1SwK8cF0DjqeDeUzuneXiKhYYzfmVSfpZUhk2FetN4vtBPDmF/roZfmzzN5451oSknzV4M+dqJgtvZsjHy7LvRXpPTZWwTL07xxGULnumLXJaBzedQrFn1CyubyZKxLHjSQy5EPphpovI89aoEdyx2cUD22VfpIBYGJ5ycd0/d+LfbishQAjLEvB9G1MVF2NTHkYmXBwbL+DQMQ/Dk/PA2t7sg7nVtsHXngpUT56i6HHh2iXgnP96auT8dffc84tCre4nXa5qArVA4KzeKVx+3ig+9MYqyp6FRoNIOYlHsEsRrryojk23F7D1oK2OJG+SKRGn9W6mAGxWhc3mWBKk6UpiyRJLYyonJpjJTMu1JctcIHkIznfVH5/MpGuhpCeW8XsTsCn3PFERfPpC0K1GEu8mEbovjtID9L44AaciCcaiOnhQBmgJTuV+KFfBWHKOEV8IJAG+rFglTxRhBLuOMty+2UXYYEBR3ZUZxXjFw4dv8NCIxnD52QJRw8bohIfJqoVag8lUNFJA/9C6ml1a+WtCTskOPzmAt7eV0ahXP/SiF14iJscOvmfHju1eGDHU/Qglj6OzQ+ClF9ewYQ2BRdswVeWqnXYAiwUA5/KECP3jG/zbnHQi7a20aTqJwVRNzGSGmSZQTROq+PadFx2YD0xyvAWaS59EQEq8eUZVSVYixc2BNNBhAF2CG8ntwAQzMbk2kuZOSh7UCfJU8WiuC/wIgrgbG9VhtfLgdDm4RMaksT+XKIoWCwXUAYgDODYmA4K/ubEV9670cfUFRQShi0qdoN4AKtUQCxcN1c9aueFzkbD/qqVYOFWYnjrAAcD1ivznP/3RR+fN7Q0cVvng6MiwU63ZmKoK9HUK9LZ2Y3yygLpbh+c04Dp+HOvriCi5H8fIynowJTVJOjEkSkk2M0eLiDMFTiVF+fP5rwnUpvjwzOsmGnNyeM4HcM5yDcokeDShJvIzIp3p0wRmHVudWHGhQawvEv1dsawo1GRS/W8auJzKuoEkseSE0iS6UOnlQl8McRiiviPbAHVBmIuCxdBqC5RthpGRAu5/3EZPJ8V0lWO6EqKvt9svtXR/avN99/3txo0vPW604FMKcABwbd/3Cn1/Xy6M+sOlvR/f8gilIB4EIRgec0GpQEer8b+qHEyprpi/rJkUmc6tTIXBIl0wMwVY2hyDQkiaujS518kMz0CONU8mXGhelY5Zya6cBajzogmhgZhgrjl8Vn9ZiqbwuCMa0SDWF4z6jO4MqFuj6AjE+DsBlcLGVSQhVQ4eZMJqCYigMuZQgzzF5bQFt+Ewhjabo9MT6Cxx9JQT7mVbdRyrUj631PXx/t6uzxwaHvefLD5PndyocdElL0d3x4HaWct6NqG0UvzmcR/1RogoAvyQoN5gaAQW/FBKQJyz2KokiDGAnZsZj7TbnSSxJtkE4iZtGZD34uy641hwE6EJ4EnCPjKfmdl6k9S/aAL5uMMIjU1n25OU1TU9P6kKWHmTTiMIK5YjzQcUdYmjCDMTTZ4N0jKqYnGj5IQx6Uz9xoSCUAaPCRSZgGdJ1c22ZJMu1wHOW9bAq166UgwOLdi0d2yy9kf/9VVPFp5P3oIDAHUXoWug5Ylye8/bXnx58Z92b3+YhpGuCU0QRUmuXzLbVuAw1ZNU0R4JbMew3lZKBkyDO69aa9bzmHqdxmD+dgYFMT2aye82w5VBmpceB8sx2FJXEJotdbzDeIKZcO6EmqRfw9TJ9QVg7E8Y1psq3Z1zCilyqyeq4sG5cuNru6gz0KDTEM0aK8SYJMizQRXg4u51xIjvIcDggg18YN6it42EfU94mDgd0HzyFhwAFi+6ANu32f5lG9Z/pb3FeV93Vxd4FGUsa2JudOJV3ScIdfoSEocOIQQ2TeoJmp7KZnArvRqJHJh6EJHLy5ECP0mB2ERninPrVRmakwvmk+DkeVJhXgm3mJKY2wCG5EIyOzPqqMCw6miuOaK3jeuppFqfpK12lC2kn/MQnIERAs/RxZVFM7VSz2EYotzWCT8svG/h4ou+0lek/prlzzkd0Dw9AAeApcuW4vDhI9HLX/aSHZdftmGqra0MSkK4NodtRXGfS0oFbIujXgW+97MCdhy1ZRdPakNHDVoE8Ij0ftrUdMOnY70luDO5ljNZcQPQGn8prp3HvXOAqq12Lj/P2f54QDd1bZJ6r3gwNDhJGvBAGvTIAt/QtZEGcDqDx6QcmeWAQUPMCrU0BfKIU0RCd+Wz4mJBvm9hcY/AKy6vwStGQMjBhVB9fQj8CGgEQMOP0NJaxtnnrpt63kVX7hgdORrNn7/odMHy9AEcAIrFAqq1+q0rVq99+7r1F4/297ool6ZRcH2Zt6nLQlghRqeBg8MOwG3VXlt6Li2aFKnXYa9WBtxsBnA3AzsT7x2D1ODFakXWOpv5mE1ANdWT/FUnPcQMC5sxnVjpLOizTqIsL5fbNDuBzJS1poQITo5jyRXYI1UJK5Kv5cMCIRRzukN0tfiqEhZHwIF6SFDxCYYnBYjdiksvvXR07Xlr3z5VqdzquqcuCeaN08LB9WhrawMA1GsTN645+0JramDik/7YLT1BY1pm9ql0NdAIm+7zcO8jBcCxpT5KLVCadB52qAyksgxaknari1Sh+uaSyAk1UbBomhDONFlsMsKZCye1A2ObhM+bKsvsIJ/OnoeJ47QWbvBvHami1RFiJCLHh5BxCOkIPWLSFS7nMBwEVK3lXHl9ScLJNa2mlErphSfypf4yQhgQyXqVjYaN9at8vHx9BV+6pQjwEIGwUONAtQr0dbXhBVdcNnzpxRf9z3ojuLGvd+B0whHAabbgeniFNth25audcy657mh95fB4RVZfokTAc0PsGwFu31zCVNUDLNlemzGKAgWKVMClQjZpjS14uq02nUkORIZnI21ls7Rkpm3ihSkEJi9TvD3eNgfKs55lJi+z/DrPpZ/+HEkvMtQLs5QEzP2aJd9MV73QdcYTS54UDqKq7Z+iJRGNBQRpsSnCyJJRgJGFMLTRCBy0FBmuuLCOhd01oBFCCNm0trMc4U9etWD4lVetu2680vhqZ0fbUwHFkw+2mu342Mc+hULfygd2HS4M95atS1w2Vmgp1RGEdXztRx7+3x0dqIsi4Hhg1EKBASUm4DHJu22jP7zZQyfdM+f4lntm667XkXy+rjN0jO9Ih8AiCbTKhsbSZL/UCK7KPiel4JqVmzwvbO5raCuL1N1MrjMoFjEvSJL63uQaIcj+TV20Ogs+vpiIulBIQp3UxZK6GxJgoDvAVFXg4Z0u6txDhyPwkgv6R9/7huIHHDzy1d6+i58qGD51AAeAO27bhM985HUPl4rlfeWWxpVlb7f7u13AB/+5G0cmWwGvAEYtFDW4qYCjAM5UkKFF0xJgtoFTOv5EzAiQvC4OJtgSZ1EC7jg5wgCzeXFoMCfbGMCmCegpbQZ4E5hnOG7E/xuZFeCTZ0P7z+jx+g7UfLvKglxbf3N9OkArBrUCfFaK4pygtQAsH2rgrgct7D9g47nnLppau2ze25/YVfzG5c//kxO6BZ7MOK0cPG/M6x/jjLXcJKK+cNv+FV//u2/sc/eNdYAUPNiMocCAIuMygUGDmxo1u80J4ow/Zv6EsilIKmO5sr9vHr+Of64M385OWlM7nOVMUwc+6dexhk0Qx3kTg4+nVBJilHZTBN30bAog/mzyfZK3x7g1g2CMcmk6TkWHxur9JOdVl6UToKqpFaeyVWEkIqOcs3xMVhh6yxTvfvUYfjC0ou6U+948zjq/c3ii8qTc8LMZTznA2+e9DePjR6K2cuE+TB+cOubfDM895BYcCkbkZNJlgMsEbJbuoWOCGECT2kH0z5u3fQ6/jheb1tH4HIx9m9si/sH1Z0hq2yy3lx8jqX3NOEQqtCT+viZtPNe9Lx09hOiLxQCrgEoly0w6gTgeKPn3iNqWZA7I8NxCRwIQ6LIBBLKuoL5jUEphcQrBo0RX5wR+YKPRoLhy3bJ639yu17/xs4Ob/vSFe6J/uO7apxp+Tz3AAcAp9AIEh/oHl6x57vL5F89psb52/+/3FesRg0MBjwm4trbeOmbbjMRqHnGlLOPHmykYKuuoydtvkws+u1WWtwLpK4Hk7HcWljxraQ0RpWm9SC3IAb2JxniRUlvUBZo+q0qHUcCNQU5k0BWBCpklMuYkVnlIzlUIOU+KIoKIEfV9HAQctYYFy1tRdUT/my67rPrdvWsfFaT93SeBoFMfT4mKkh1Fl4AQEn35K986fMvmR7+9cEHfm+ctGJioR9Kj6dkCBQvwHPnatQUcC7AZYLFM5+S4L2e+cycL7qxFN4cJotx1aeqZXp8CO8lY7xOP3IAqvcLUuVMbGVWucnaWWpY9CJLsA0oliWNS9HflOIO4QKrtSdwGhROEEUUQUvgBQyNgqDcs+Qgs+IEFzgHXCdDd0zPR0t7/5qJ317f3PNr7BwP3bH+L0zre+bEbILwCqOBvrFajzzz2u61dYWUULQUaJwATZPqX81hyzXWTNy03DesME7h4IqkvkFQam9nRmKSXGUnGqdQ0PQlNpbE1KyeJ6tJ8geqJbXpSnU6aTuq7JHVRCEk/69rtcee7uPmuPC9m23UzjMK8+5mXS/rcJjo5FySWC7mqCESogEU5HNtHb7eHeQsWjhSK1nstV3z98CFgYOk7/6B4+4MDXI9DR8dg2/af/ugnv/j7H9/+857JyUkw1bQVkMD2AwE/VJ26jHtrzlyw6U3TpPRUAW4W+YlBnKgwjELlcmbBbQJbfrH+PJCOo8mC3GznbRYs0t3udIGguPudfn8CgCf/u1DHY2TGk7z7WHY+IxIqJYAoovADacHDKJlzcB6hVGrFmrUbhucuXPdBzsMbbLfrjODsD8LB88ZAbweqlcoN12y8mHS20k/ccttPe46NTqDgWrAsirovEIayg65WqpomnScYp3r1Zi+gFN2Jv58oDbqZnqS8mhlluYk2i/SXmUqIzpzRk8i8rPoZd5z3f+WsT1LY8j8s4o0Qa+nyIekiFxTTNYa6T2ExAUYDOG475i6+bLh33rrr/FDcUCg8NU6c2YwzBnAAKJZKqFSqX9mw/nkhCPvsj26/uyNqTKCthSESHL/bGWCyLuOG4/olOZO9mLsin0+nNiTNb8nxNwOQ3JqT9zAuOpJaBkgwUD3DMb8k64Y3V+n/gZggJzHAUv/rTBx7pn8ilvpE7ubxZoaHNDmvurahiMMkGBMoeiGqDYG9RywEAdBRphia14OlKzaMDS0+7wMA/7dC4cT1A5/KcUYBDgClUhGNhn/jhc87b3Tv/kOLO1vxqfEjv7H7eyaxcxR4bH8Rc9pFHDZLM7+MFhVMHMwUuJQGt9YXZmX8UtJZs3dSvVbrEk8eOf4dJ3NR6jtVtqqVbiQMPRHMoRN5F2q8jGSsd94BGYFdsXdSGJZd7UjEnaoFutpqePwgx88eFOhvtfHKqy8M+vrYXyxZdu4O23Fvo9Q5TSg59XHGAQ4AruvwnTu337rx6o3O9Ni2KmkEX9p8/8/Jw7sptSwCxjgsS1vxRC8zw0TNBFuo91rRarqVw1C8jDcitTAzUvTEBE9ivTXIYw5u7L/JwJrBVXqZPg6gOb/SiKcGZriI42NUVwQBQETTMcsLUcTHbZ6QpMyb2aIwOfqIAAIULOIIQoJVQ5OYP7/IF85dLwbnLnnH+eet+NqefUf8JUuWnDE8meMPIhPOZixatASt9j5/zkD3jWctH1y5deQ5H+7vHEK766PoAJ5N4NhE9UnUkz6jII9pnVOx0cmy5tDSxISaNAfZ10h4d9YzmgK0qZIgE/ORd3zms1A1480wVn0cWs6bgX+RnAXZOwdRYE/RFHUxJL3Z5Id14kMkSKyQRBGJJcFag6FSs3BszEZP52K8/TWLPlzqWLSyvaPnxt/+bt/TBty55+bpMN79ie9hy9g8tnFw64fHRo5+aPeePUzwEJQS1H0RJ74CEhSREIgixJ24TGADOXHiMCS5pqAqCdJUGWUqm49SQlQAWFIqWZdV1jUJKVVURWelG2c5L3RWX5hmLIyeb8TBZUwqHhZLpELGRBxdqdebr3V55HQAWloe1GoKkGjfnCephjyicccIea4JanXZ+6dUtNDdOzfq7W3/2xVrJz9eP1KICv1/dqah0zSe0mCrUx2//OlN+Mi1LxLvfOtr77z5W99wKcUFNpm2wqiB4bEQjiWBFltT3bCIp/ub503kTJUjtsrIgt8Mwkpr3IkergAf1wynifWOJ8RJ8U0NbtE0UUiDPj7OrLRp1isnJAkZTl2YhvQYH4MqX2eAWm6TyIjm9wgkyQyhCo/lQh69a4c4MkYQiG6cc85zG+ecf9WnBxes++tXbbxWzD3rv51p2OSOp6UF12N0bBIKCZ+YGt257t+++336wCP+OtRHLcu2QEDAudTKG0ozD6OkwCRMa21oztlArpQTR1lMZhStZxSwmAQzYyao5XtKqQK7wcUNipBM3hTAkaFEhhrTVBSfJa8tZaElTeMq4lIk9WJYuvB9nvVO1umAtiTqkHMgjCQNqTcY/FCWieBclsSeP6cQbt3PNq9Z+xp+zuqFm8OIXOc5Ao5Xnt0PegbG0xrg5rjxm7fAsqzWWq3yL/v37XnNnr2HaaVag8UoGiEwNiVQaYjEo0aQ+oFnih/XD2aAnNEE4BLYAGNUgUt3bEgAr9+bXsrEIiLlDudcdkAzl5mf0aG2cYKHGRPPBGz9XgOcSbpiMQ100/HTTElSXR/UOg14AIg4RbVmY3TSQd2n4DyC7Xgotfbz+fPmfqulpfiWIAinzj7/6jMNiVmNZwzAAWD3nt0oFLzuvXsPvuve+367enRs/BX79u7GnD6KX2zlODRM4LJ0WYKU9y8D8hQ1IUnbEsYAOwa2mthSqiwniUFuMUlLLEpAGUnRhKwzJ6ZQXCjPbNLENeHhSb1xCWJluWNQS0BrC24zwLIkqG3LaGPCDHCj2XozE+iUx59hVCaI7x+muPeBdnS3CSxatBClUtumeQvXPtLeOfD5wK8fmztv/pmGwqzH00ImnO0YWjAEAMd27t7716//o1cueOjhbThycPAVfaUtuHfHBEYqregsMjhMIYdBFeEjMAu26yHlMMRudCCplc2FADXkMUL0fjSVIDFFIYblNy8gIAE3uC6eIKtOSUsu4skwJVJjpsbMIFLfzdXxzZS+pq10DG5tvXPOoSyKn/TpkVZftmS37QhFr4qpWgMP7enBtdecgzWrlm7qHVj67ka9sqerp/dMQ+CkxzPKgpvj4OERUGovmRjZfXZX+di7vvDNJy656d93Ynx8CmWPyVrlTMT81mIyoUL3lgUSqwok6oVNibKUgGVJa21bgMVo/F4+qKQv+mFYXDOyUct/stIXEIQyBCGMuJIFpQmnUBNJat4hSMy57fiYJE2xLS6Py+KwLRVLb3HYTDac0g4xnREPAVDG4VjSSluMx+fGtiK4dgDG6nDcMiais7Ft+Dl3r5jf+vlVKxc+7Afh9kKx80z/5Kc0nlEW3ByD/V0AsJ0LsZ0AjyxbSAeue8eaL9/9q61LfnDXw4xGPlocYNonCDlBiyOBQaksF8YFEIUCQaSMPQUEg+xtT003tfTIpCmNKmyvrbimESzJH9W0RwgpuwEAjSSgw0ggDAUiruO0FYUQBEylfVmgMpmAqOZRqqxxrI9DHps+Jm2NLcbBLNlRTQgCP6AIA1lpygIAi4MxgYIXIIwopqs2bMtHqRii2H5R5LWt2V6skf9+7vPWHwKwran51jNsPGMBrgeVP8C2HQdHt4Vh9KKC58552RXn3XzrbXeV29mB0uHJEWx+1IIV2ig4ArZNUHQkgKsTwGRNgtuxABcCIQGYyAIJ0KkDBCRWTJgBbsuwsMwAOVTYLyFAEErVJwg4/IDLltdIHERMFfjS3wel0UdEFcjUvnzZQ01uRpIJo6WsuGNHcGzZ3m9i2sNIzYUAUPIEPAdwrAiUVrDlEQsEfbjkeR2VvqWXTAoeXOOUFh0otbM9z3Rg6/GMB7geiwc7EURiz1nzuvcdODq1qqtIL5zbHf7L/kOPtbDv7Gq//6Gj4ELAZQLlEkN/N8MCPoWb76MQDRednqyPzaiWxQz+DaWWG2qMlvSYOQG05GRPTwapavHBhaQbfkAQhgLVRgTflxxcKydSCdFZ6hSEcPAIiIicyIqUl5OkPFkEiCeMtsXhOiFai3WEvIbbtnQhqJXQ2w7Qdoq2koBjE1TC+VNe15rRZYvPtdr6ca3XNv+XQMcEwDkhT0v3yCmNZw3AAal8AODDR4+MLVs058fByK1D5659zR9/dMHUez9zww/8I/v3k+5SY3lnK/GWzqlg1ZJJTIUh/u+P56BkU9iUw+IClmG9UxGCcSAVia13FtyOJeDY8rWtqIIORxUg2L4vwvB4FMe86M/bDBA2lOHmIIRK6sIFGCepWoKAMdlU+6FUSoU2i+BYETrLVXz9jhDfvB1YM7eB8up2gLF6W0f4+JyhPtsuv/DGC1e+7x8e/Mklrlsq1w8f9vnAwLPDapvjWQVwPXp6+wCAV6oRGKU3OE79q5bF8JLLVrPertYvWcQ/q4Vt3+B44wyiBtciqDV8MMiJpMuNlDikLXnS0RiG00Vyb5tJcHsOh2tzuI6kCrYdoa0YwnIb+Pa9RRw64qG9yOEwmZrn2LKCXfw9lCTpeUQgokKli2XCZUSSvqZrPlpWAAgfnDOUCkBHRwsWDA1Fa85ecm9PV2GbEJNvo/RQZNsF1LZ9XhRaF1XP9O/1VI5nJcD1KBVNQgsACKenJ98CUuhgfPXfPfhgzdl2+Ei07py+8xwinrN1zzCGJ6ZhtQGtRTsO6tKx0QJaT84oG9rZYgGOJeC5EYpeiKIXoOAGaC020N8zhRqtYmKiF9sPu+jpZOjwOFocgaKiRLIlN0HEBWikLbk8hjiRF4nOHkVAQygJ0fXh2VNobXEh2CJUI/HbS8/bd/8YH2Ive8Er/WULuv9yqtoY6+hsP9M/yx90PPvuSSc5bv7+z0EpLhmbCq/ccXjyGr9eX9bKajhyYDsY4Ziu1DBdDWAxgnKLg9aSg4LHUHABzwFsO3GVu45ASyFEuRSg3NJAuVhHR1sFUVTB/bsibD3AcXCfhUf3lfHLHe2IgiJ6W4DOAke5IFAuEJQ8Aseh8STWsig8h8JzGYoeQcGNUHRDMMbhBw4oc1EqMqxeOQ+DvRGKJXtrpdF/sx+WfkIIv3v+ksvP9Ck+o+P/e4DrsfvgMQB4URDyxZXxUf69736XDwx0L2wtd37wod/vhucyVKdGEPpTaCkyFAtAW4nBdWT8SxjJWtid5RC9nXV0d0yjszyJ7QdruH5TEb98rB0DHRR/86YxDHbV8MttBJ//Xhe27+1Ad4lhsByhpyxQLhK4DkXEBaJISMpkAQWPoaVAMWegDQsXdIESH3ZhCEeHx/++URvddcWLN9LuzlbKLLoDwI+J1X+mT+nTYjyrKcrJjKHBbgD4sX4/NnYMBc9t37H74OapGuBYNOjvXfkem5ErHJuAkQijh38LhjEcGXUxPclkhCOdhudMwmIj2H6whvd+qQO/eqQHHWUHZ/cTHDrsYkHPKK5ZfwyDHfvwri81cGi0DHfaRl+7h+7OAjyXYnwqwtHRAIPtZVxx2flwPRueQ+E69PaiM/VZSgK7rXsVVq+dc3cUNcb7es9MUu/TffwnwGcYHR3dADAO4BYAOHT4EAA8LrjooxScRwGCymOgfBzHJi1wYaFSC4JVq5/z0cnKwau//2A9mN8boG+wCxvnOOhv5Vg5yNDWzRA5k/DZFC44O8T/eI2NOd0c92/tscte5w/GDj300VLBtauNAKEQKBRasHrNKriuDUYptSx2BMCunp6+M32KnhHjPynKaRzjh+8CIaRv2+5dbTfewcWGVQHu+30ZnFL0FDgW9Ur9feHgNNpaaqAUuOdR4IKVFdy2eYCUvKEJCH7kda9Yf6b/lWfN+A+5AsJmGKNsuwAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QyMTowMjozMiswMDowMGL9/kYAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMjE6MDI6MzIrMDA6MDAToEb6AAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}

Column	Type
hecke_orbit_code	bigint
n	integer
trace_an	numeric

mf_hecke_traces • Show schema
Showing the first 100 of 258 matching records in this table.

id: 1183962
{'hecke_orbit_code': 33559040, 'n': 1, 'trace_an': 2}
id: 1183963
{'hecke_orbit_code': 33559040, 'n': 2, 'trace_an': 0}
id: 1183964
{'hecke_orbit_code': 33559040, 'n': 3, 'trace_an': 0}
id: 1183965
{'hecke_orbit_code': 33559040, 'n': 4, 'trace_an': 0}
id: 1183966
{'hecke_orbit_code': 33559040, 'n': 5, 'trace_an': -4}
id: 1183967
{'hecke_orbit_code': 33559040, 'n': 6, 'trace_an': 0}
id: 1183968
{'hecke_orbit_code': 33559040, 'n': 7, 'trace_an': -4}
id: 1183969
{'hecke_orbit_code': 33559040, 'n': 8, 'trace_an': 0}
id: 1183970
{'hecke_orbit_code': 33559040, 'n': 9, 'trace_an': 0}
id: 1183971
{'hecke_orbit_code': 33559040, 'n': 10, 'trace_an': 0}
id: 1183972
{'hecke_orbit_code': 33559040, 'n': 11, 'trace_an': 4}
id: 1183973
{'hecke_orbit_code': 33559040, 'n': 12, 'trace_an': 0}
id: 1183974
{'hecke_orbit_code': 33559040, 'n': 13, 'trace_an': 0}
id: 1183975
{'hecke_orbit_code': 33559040, 'n': 14, 'trace_an': 0}
id: 1183976
{'hecke_orbit_code': 33559040, 'n': 15, 'trace_an': 0}
id: 1183977
{'hecke_orbit_code': 33559040, 'n': 16, 'trace_an': 0}
id: 1183978
{'hecke_orbit_code': 33559040, 'n': 17, 'trace_an': 4}
id: 1183979
{'hecke_orbit_code': 33559040, 'n': 18, 'trace_an': 0}
id: 1183980
{'hecke_orbit_code': 33559040, 'n': 19, 'trace_an': 0}
id: 1183981
{'hecke_orbit_code': 33559040, 'n': 20, 'trace_an': 0}
id: 1183982
{'hecke_orbit_code': 33559040, 'n': 21, 'trace_an': 0}
id: 1183983
{'hecke_orbit_code': 33559040, 'n': 22, 'trace_an': 0}
id: 1183984
{'hecke_orbit_code': 33559040, 'n': 23, 'trace_an': 8}
id: 1183985
{'hecke_orbit_code': 33559040, 'n': 24, 'trace_an': 0}
id: 1183986
{'hecke_orbit_code': 33559040, 'n': 25, 'trace_an': 2}
id: 1183987
{'hecke_orbit_code': 33559040, 'n': 26, 'trace_an': 0}
id: 1183988
{'hecke_orbit_code': 33559040, 'n': 27, 'trace_an': 0}
id: 1183989
{'hecke_orbit_code': 33559040, 'n': 28, 'trace_an': 0}
id: 1183990
{'hecke_orbit_code': 33559040, 'n': 29, 'trace_an': -4}
id: 1183991
{'hecke_orbit_code': 33559040, 'n': 30, 'trace_an': 0}
id: 1183992
{'hecke_orbit_code': 33559040, 'n': 31, 'trace_an': -12}
id: 1183993
{'hecke_orbit_code': 33559040, 'n': 32, 'trace_an': 0}
id: 1183994
{'hecke_orbit_code': 33559040, 'n': 33, 'trace_an': 0}
id: 1183995
{'hecke_orbit_code': 33559040, 'n': 34, 'trace_an': 0}
id: 1183996
{'hecke_orbit_code': 33559040, 'n': 35, 'trace_an': 4}
id: 1183997
{'hecke_orbit_code': 33559040, 'n': 36, 'trace_an': 0}
id: 1183998
{'hecke_orbit_code': 33559040, 'n': 37, 'trace_an': -8}
id: 1183999
{'hecke_orbit_code': 33559040, 'n': 38, 'trace_an': 0}
id: 1184000
{'hecke_orbit_code': 33559040, 'n': 39, 'trace_an': 0}
id: 1184001
{'hecke_orbit_code': 33559040, 'n': 40, 'trace_an': 0}
id: 1184002
{'hecke_orbit_code': 33559040, 'n': 41, 'trace_an': 12}
id: 1184003
{'hecke_orbit_code': 33559040, 'n': 42, 'trace_an': 0}
id: 1184004
{'hecke_orbit_code': 33559040, 'n': 43, 'trace_an': 8}
id: 1184005
{'hecke_orbit_code': 33559040, 'n': 44, 'trace_an': 0}
id: 1184006
{'hecke_orbit_code': 33559040, 'n': 45, 'trace_an': 0}
id: 1184007
{'hecke_orbit_code': 33559040, 'n': 46, 'trace_an': 0}
id: 1184008
{'hecke_orbit_code': 33559040, 'n': 47, 'trace_an': 8}
id: 1184009
{'hecke_orbit_code': 33559040, 'n': 48, 'trace_an': 0}
id: 1184010
{'hecke_orbit_code': 33559040, 'n': 49, 'trace_an': -2}
id: 1184011
{'hecke_orbit_code': 33559040, 'n': 50, 'trace_an': 0}
id: 1184012
{'hecke_orbit_code': 33559040, 'n': 51, 'trace_an': 0}
id: 1184013
{'hecke_orbit_code': 33559040, 'n': 52, 'trace_an': 0}
id: 1184014
{'hecke_orbit_code': 33559040, 'n': 53, 'trace_an': -4}
id: 1184015
{'hecke_orbit_code': 33559040, 'n': 54, 'trace_an': 0}
id: 1184016
{'hecke_orbit_code': 33559040, 'n': 55, 'trace_an': -8}
id: 1184017
{'hecke_orbit_code': 33559040, 'n': 56, 'trace_an': 0}
id: 1184018
{'hecke_orbit_code': 33559040, 'n': 57, 'trace_an': 0}
id: 1184019
{'hecke_orbit_code': 33559040, 'n': 58, 'trace_an': 0}
id: 1184020
{'hecke_orbit_code': 33559040, 'n': 59, 'trace_an': -8}
id: 1184021
{'hecke_orbit_code': 33559040, 'n': 60, 'trace_an': 0}
id: 1184022
{'hecke_orbit_code': 33559040, 'n': 61, 'trace_an': -8}
id: 1184023
{'hecke_orbit_code': 33559040, 'n': 62, 'trace_an': 0}
id: 1184024
{'hecke_orbit_code': 33559040, 'n': 63, 'trace_an': 0}
id: 1184025
{'hecke_orbit_code': 33559040, 'n': 64, 'trace_an': 0}
id: 1184026
{'hecke_orbit_code': 33559040, 'n': 65, 'trace_an': 8}
id: 1184027
{'hecke_orbit_code': 33559040, 'n': 66, 'trace_an': 0}
id: 1184028
{'hecke_orbit_code': 33559040, 'n': 67, 'trace_an': 16}
id: 1184029
{'hecke_orbit_code': 33559040, 'n': 68, 'trace_an': 0}
id: 1184030
{'hecke_orbit_code': 33559040, 'n': 69, 'trace_an': 0}
id: 1184031
{'hecke_orbit_code': 33559040, 'n': 70, 'trace_an': 0}
id: 1184032
{'hecke_orbit_code': 33559040, 'n': 71, 'trace_an': 24}
id: 1184033
{'hecke_orbit_code': 33559040, 'n': 72, 'trace_an': 0}
id: 1184034
{'hecke_orbit_code': 33559040, 'n': 73, 'trace_an': 8}
id: 1184035
{'hecke_orbit_code': 33559040, 'n': 74, 'trace_an': 0}
id: 1184036
{'hecke_orbit_code': 33559040, 'n': 75, 'trace_an': 0}
id: 1184037
{'hecke_orbit_code': 33559040, 'n': 76, 'trace_an': 0}
id: 1184038
{'hecke_orbit_code': 33559040, 'n': 77, 'trace_an': -8}
id: 1184039
{'hecke_orbit_code': 33559040, 'n': 78, 'trace_an': 0}
id: 1184040
{'hecke_orbit_code': 33559040, 'n': 79, 'trace_an': -20}
id: 1184041
{'hecke_orbit_code': 33559040, 'n': 80, 'trace_an': 0}
id: 1184042
{'hecke_orbit_code': 33559040, 'n': 81, 'trace_an': 0}
id: 1184043
{'hecke_orbit_code': 33559040, 'n': 82, 'trace_an': 0}
id: 1184044
{'hecke_orbit_code': 33559040, 'n': 83, 'trace_an': -4}
id: 1184045
{'hecke_orbit_code': 33559040, 'n': 84, 'trace_an': 0}
id: 1184046
{'hecke_orbit_code': 33559040, 'n': 85, 'trace_an': -24}
id: 1184047
{'hecke_orbit_code': 33559040, 'n': 86, 'trace_an': 0}
id: 1184048
{'hecke_orbit_code': 33559040, 'n': 87, 'trace_an': 0}
id: 1184049
{'hecke_orbit_code': 33559040, 'n': 88, 'trace_an': 0}
id: 1184050
{'hecke_orbit_code': 33559040, 'n': 89, 'trace_an': -4}
id: 1184051
{'hecke_orbit_code': 33559040, 'n': 90, 'trace_an': 0}
id: 1184052
{'hecke_orbit_code': 33559040, 'n': 91, 'trace_an': -8}
id: 1184053
{'hecke_orbit_code': 33559040, 'n': 92, 'trace_an': 0}
id: 1184054
{'hecke_orbit_code': 33559040, 'n': 93, 'trace_an': 0}
id: 1184055
{'hecke_orbit_code': 33559040, 'n': 94, 'trace_an': 0}
id: 1184056
{'hecke_orbit_code': 33559040, 'n': 95, 'trace_an': 16}
id: 1184057
{'hecke_orbit_code': 33559040, 'n': 96, 'trace_an': 0}
id: 1184058
{'hecke_orbit_code': 33559040, 'n': 97, 'trace_an': 4}
id: 1184059
{'hecke_orbit_code': 33559040, 'n': 98, 'trace_an': 0}
id: 1184060
{'hecke_orbit_code': 33559040, 'n': 99, 'trace_an': 0}
id: 1184061
{'hecke_orbit_code': 33559040, 'n': 100, 'trace_an': 0}

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$ over number fields
Genus 2 curves
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

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.