LMFDB - Embedded newform data - 4400.2.b.x.4049.1

Formats: - HTML - YAML - JSON - 2025-09-22T14:43:07.526057

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': 17600, 'analytic_conductor': 35.13417688936337, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [4400, 2, [2751, 3301, 177, 1201], [2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 4049, 'dim': 4, 'field_disc': 400, 'field_disc_factorization': [[2, 4], [5, 2]], 'field_poly': [1, 0, 3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 0, 7, 0, 1]], [7, [121, 0, 23, 0, 1]], [13, [121, 0, 42, 0, 1]], [17, [1, 0, 3, 0, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582860182556976, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4400.2.b.x', 'level': 4400, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'minimal_twist': '275.2.a.d', 'nf_label': '4.0.400.1', 'prim_orbit_index': 2, 'qexp_display': 'q+(\\beta _{1}-\\beta _{3})q^{3}+(3\\beta _{1}+2\\beta _{3})q^{7}+(1+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4400.2.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 582000286698046738, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.717', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.598', 'prec': 17}, {'__RealLiteral__': 0, 'data': '71.221', 'prec': 20}, {'__RealLiteral__': 0, 'data': '32.059', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1905.361', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.518', 'prec': 17}, 'traces': [4, 0, 0, 0, 0, 0, 0, 0, -2, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 10, 0, 12, 0, 0, 0, 0, 0, 0, 0, 34, 0, -12, 0, 0, 0, 0, 0, 0, 0, -18, 0, 2, 0, 0, 0, 0, 0, 0, 0, 20, 0, -22, 0, 0, 0, 0, 0, 0, 0, 16, 0, 12, 0, 0, 0, 0, 0, 0, 0, 10, 0, 4, 0, 0, 0, 0, 0, 0, 0, 50, 0, 22, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -10, 0, -58, 0, 0, 0, 0, 0, 0, 0, 16, 0, 4, 0, 0, 0, 0, 0, 0, 0, 36, 0, -18, 0, 0, 0, 0, 0, 0, 0, -40, 0, 58, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 44, 0, 78, 0, 0, 0, 0, 0, 0, 0, -32, 0, 90, 0, 0, 0, 0, 0, 0, 0, -50, 0, -2, 0, 0, 0, 0, 0, 0, 0, 30, 0, 62, 0, 0, 0, 0, 0, 0, 0, 10, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, 0, 0, 64, 0, -2, 0, 0, 0, 0, 0, 0, 0, 10, 0, 12, 0, 0, 0, 0, 0, 0, 0, 30, 0, 18, 0, 0, 0, 0, 0, 0, 0, 66, 0, 42, 0, 0, 0, 0, 0, 0, 0, -14, 0, 10, 0, 0, 0, 0, 0, 0, 0, -90, 0, -8, 0, 0, 0, 0, 0, 0, 0, -6, 0, -12, 0, 0, 0, 0, 0, 0, 0, 62, 0, -8, 0, 0, 0, 0, 0, 0, 0, -26, 0, -12, 0, 0, 0, 0, 0, 0, 0, -34, 0, 32, 0, 0, 0, 0, 0, 0, 0, -10, 0, -22, 0, 0, 0, 0, 0, 0, 0, 114, 0, 32, 0, 0, 0, 0, 0, 0, 0, -46, 0, -12, 0, 0, 0, 0, 0, 0, 0, 20, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 6, 0, 102, 0, 0, 0, 0, 0, 0, 0, -80, 0, -2, 0, 0, 0, 0, 0, 0, 0, -40, 0, -28, 0, 0, 0, 0, 0, 0, 0, 120, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 40, 0, 18, 0, 0, 0, 0, 0, 0, 0, -34, 0, -48, 0, 0, 0, 0, 0, 0, 0, -70, 0, -36, 0, 0, 0, 0, 0, 0, 0, 30, 0, 12, 0, 0, 0, 0, 0, 0, 0, -10, 0, 8, 0, 0, 0, 0, 0, 0, 0, -16, 0, 12, 0, 0, 0, 0, 0, 0, 0, 60, 0, 148, 0, 0, 0, 0, 0, 0, 0, 36, 0, 72, 0, 0, 0, 0, 0, 0, 0, 70, 0, -42, 0, 0, 0, 0, 0, 0, 0, -70, 0, -38, 0, 0, 0, 0, 0, 0, 0, -26, 0, -52, 0, 0, 0, 0, 0, 0, 0, -42, 0, 50, 0, 0, 0, 0, 0, 0, 0, 18, 0, -102, 0, 0, 0, 0, 0, 0, 0, -64, 0, 30, 0, 0, 0, 0, 0, 0, 0, -96, 0, -2, 0, 0, 0, 0, 0, 0, 0, -110, 0, -78, 0, 0, 0, 0, 0, 0, 0, 64, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -30, 0, -22, 0, 0, 0, 0, 0, 0, 0, -10, 0, -128, 0, 0, 0, 0, 0, 0, 0, -20, 0, -50, 0, 0, 0, 0, 0, 0, 0, -6, 0, -78, 0, 0, 0, 0, 0, 0, 0, 144, 0, -12, 0, 0, 0, 0, 0, 0, 0, -20, 0, -36, 0, 0, 0, 0, 0, 0, 0, -30, 0, -152, 0, 0, 0, 0, 0, 0, 0, -74, 0, 22, 0, 0, 0, 0, 0, 0, 0, -14, 0, -122, 0, 0, 0, 0, 0, 0, 0, -94, 0, -98, 0, 0, 0, 0, 0, 0, 0, 64, 0, 88, 0, 0, 0, 0, 0, 0, 0, 40, 0, -50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 118, 0, 12, 0, 0, 0, 0, 0, 0, 0, -130, 0, -210, 0, 0, 0, 0, 0, 0, 0, -26, 0, 22, 0, 0, 0, 0, 0, 0, 0, -16, 0, 48, 0, 0, 0, 0, 0, 0, 0, 20, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 126, 0, -218, 0, 0, 0, 0, 0, 0, 0, -34, 0, 50, 0, 0, 0, 0, 0, 0, 0, 120, 0, -68, 0, 0, 0, 0, 0, 0, 0, -176, 0, -72, 0, 0, 0, 0, 0, 0, 0, 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0, -20, 0, 50, 0, 0, 0, 0, 0, 0, 0, 16, 0, 38, 0, 0, 0, 0, 0, 0, 0, -44, 0, 72, 0, 0, 0, 0, 0, 0, 0, -150, 0, 0, 0, 0, 0, 0, 0, 0, 0, 114, 0, -68, 0, 0, 0, 0, 0, 0, 0, 84, 0, -2, 0, 0, 0, 0, 0, 0, 0, -30, 0, -98, 0, 0, 0, 0, 0, 0, 0, 10, 0, -12, 0, 0, 0, 0, 0, 0, 0, 102, 0, -58, 0, 0, 0, 0, 0, 0, 0, -166, 0, 58, 0, 0, 0, 0, 0, 0, 0, -210, 0, 122, 0, 0, 0, 0, 0, 0, 0, 20, 0, 28, 0, 0, 0, 0, 0, 0, 0, -90, 0, -70, 0, 0, 0, 0, 0, 0, 0, -120, 0, 18, 0, 0, 0, 0, 0, 0, 0, -80, 0, -36, 0, 0, 0, 0, 0, 0, 0, -40, 0, -34, 0, 0, 0, 0, 0, 0, 0, 0, 0, -38, 0, 0, 0, 0, 0, 0, 0, -86, 0, 128, 0, 0, 0, 0, 0, 0, 0, -16, 0, -180, 0, 0, 0, 0, 0, 0, 0, -120, 0, 28, 0, 0, 0, 0, 0, 0, 0, 196, 0, -4, 0, 0, 0, 0, 0, 0, 0, 94, 0, -120, 0, 0, 0, 0, 0, 0, 0, 300, 0, 112, 0, 0, 0, 0, 0, 0, 0, -6, 0, -2, 0, 0, 0, 0, 0, 0, 0, -128, 0, 12, 0, 0, 0, 0, 0, 0, 0, 46, 0, -62, 0, 0, 0, 0, 0, 0, 0, -34, 0, 52, 0, 0, 0, 0, 0, 0, 0, -100, 0, 218, 0, 0, 0, 0, 0, 0, 0, 200, 0, 42, 0, 0, 0, 0, 0, 0, 0, -36, 0, -60, 0, 0, 0, 0, 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0, 0, 0, 0, 0, -330, 0, -78, 0, 0, 0, 0, 0, 0, 0, 176, 0, 188, 0, 0, 0, 0, 0, 0, 0, -44, 0, -18, 0, 0, 0, 0, 0, 0, 0, 80, 0, -2, 0, 0, 0, 0, 0, 0, 0, -80, 0, -78, 0, 0, 0, 0, 0, 0, 0, 54, 0, 18, 0, 0, 0, 0, 0, 0, 0, 150, 0, 70, 0, 0, 0, 0, 0, 0, 0, 116, 0, -82, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 6, 0, 28, 0, 0, 0, 0, 0, 0, 0, 60, 0, -128, 0, 0, 0, 0, 0, 0, 0, 54, 0, -42, 0, 0, 0, 0, 0, 0, 0, 28, 0, 212, 0, 0, 0, 0, 0, 0, 0, 32, 0, -112, 0, 0, 0, 0, 0, 0, 0, -50, 0, -88, 0, 0, 0, 0, 0, 0, 0, -30, 0, -90, 0, 0, 0, 0, 0, 0, 0, 110, 0, -66, 0, 0, 0, 0, 0, 0, 0, 34, 0, 148, 0, 0, 0, 0, 0, 0, 0, 156, 0, -48, 0, 0, 0, 0, 0, 0, 0, 150, 0, 78, 0, 0, 0, 0, 0, 0, 0, -84, 0, 42, 0, 0, 0, 0, 0, 0, 0, 46, 0, 98, 0, 0, 0, 0, 0, 0, 0, -30, 0, 12, 0, 0, 0, 0, 0, 0, 0, 14, 0, 118, 0, 0, 0, 0, 0, 0, 0, 50, 0, 10, 0, 0, 0, 0, 0, 0, 0, -240, 0, -32, 0, 0, 0, 0, 0, 0, 0, 46, 0, 2, 0, 0, 0, 0, 0, 0, 0, 170, 0, 10, 0, 0, 0, 0, 0, 0, 0, 54, 0, -118, 0, 0, 0, 0, 0, 0, 0, -6, 0, -72, 0, 0, 0, 0, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 20, 0, -298, 0, 0, 0, 0, 0, 0, 0, 180, 0, 18, 0, 0, 0, 0, 0, 0, 0, 16, 0, 282, 0, 0, 0, 0, 0, 0, 0, 90, 0, -132, 0, 0, 0, 0, 0, 0, 0, 30, 0, -48, 0, 0, 0, 0, 0, 0, 0, -166, 0, 8, 0, 0, 0, 0, 0, 0, 0, 174, 0, -198, 0, 0, 0, 0, 0, 0, 0, 50, 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

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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

{'Nk2': 17600, 'analytic_conductor': 35.13417688936337, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [4400, 2, [2751, 3301, 177, 1201], [2, 2, 1, 2]], 'conrey_index': 4049, 'cusp_dim': 684, 'dim': 90, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13, 17], 'hecke_orbit_code': 68753035568, 'hecke_orbit_dims': [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, 4, 6, 6], 'label': '4400.2.b', 'level': 4400, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'mf_dim': 756, 'mf_new_dim': 90, 'num_forms': 29, 'prim_orbit_index': 2, 'relative_dim': 90, 'sturm_bound': 1440, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [90, 0, 0, 0, 0, 0, 0, 0, -90, 0, 6, 0, 0, 0, 0, 0, 0, 0, -16, 0, 16, 0, 0, 0, 0, 0, 0, 0, -12, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -90, 0, 16, 0, 0, 0, 0, 0, 0, 0, -52, 0, -52, 0, 0, 0, 0, 0, 0, 0, 16, 0, -12, 0, 0, 0, 0, 0, 0, 0, -40, 0, 42, 0, 0, 0, 0, 0, 0, 0, -4, 0, 64, 0, 0, 0, 0, 0, 0, 0, -18, 0, -4, 0, 0, 0, 0, 0, 0, 0, 52, 0, 4, 0, 0, 0, 0, 0, 0, 0, 72, 0, 90, 0, 0, 0, 0, 0, 0, 0, 64, 0, -72, 0, 0, 0, 0, 0, 0, 0, -88, 0, -16, 0, 0, 0, 0, 0, 0, 0, -28, 0, 16, 0, 0, 0, 0, 0, 0, 0, 48, 0, -48, 0, 0, 0, 0, 0, 0, 0, -110, 0, -88, 0, 0, 0, 0, 0, 0, 0, -12, 0, -4, 0, 0, 0, 0, 0, 0, 0, -64, 0, -100, 0, 0, 0, 0, 0, 0, 0, -80, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 152, 0, -88, 0, 0, 0, 0, 0, 0, 0, 20, 0, -24, 0, 0, 0, 0, 0, 0, 0, 48, 0, -60, 0, 0, 0, 0, 0, 0, 0, 48, 0, 52, 0, 0, 0, 0, 0, 0, 0, 128, 0, 28, 0, 0, 0, 0, 0, 0, 0, 52, 0, -8, 0, 0, 0, 0, 0, 0, 0, -184, 0, 52, 0, 0, 0, 0, 0, 0, 0, -46, 0, 4, 0, 0, 0, 0, 0, 0, 0, 152, 0, -48, 0, 0, 0, 0, 0, 0, 0, -128, 0, 16, 0, 0, 0, 0, 0, 0, 0, 20, 0, -144, 0, 0, 0, 0, 0, 0, 0, 96, 0, 140, 0, 0, 0, 0, 0, 0, 0, -292, 0, -32, 0, 0, 0, 0, 0, 0, 0, 4, 0, 216, 0, 0, 0, 0, 0, 0, 0, 32, 0, 26, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, -80, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, -4, 0, 0, 0, 0, 0, 0, 0, 44, 0, -228, 0, 0, 0, 0, 0, 0, 0, -32, 0, -68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 90, 0, 0, 0, 0, 0, 0, 0, -132, 0, 36, 0, 0, 0, 0, 0, 0, 0, -296, 0, -4, 0, 0, 0, 0, 0, 0, 0, -176, 0, 100, 0, 0, 0, 0, 0, 0, 0, -120, 0, 8, 0, 0, 0, 0, 0, 0, 0, 64, 0, 224, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 104, 0, 0, 0, 0, 0, 0, 0, -88, 0, 180, 0, 0, 0, 0, 0, 0, 0, 38, 0, 248, 0, 0, 0, 0, 0, 0, 0, -70, 0, -100, 0, 0, 0, 0, 0, 0, 0, 244, 0, -208, 0, 0, 0, 0, 0, 0, 0, 184, 0, 48, 0, 0, 0, 0, 0, 0, 0, -36, 0, -288, 0, 0, 0, 0, 0, 0, 0, 96, 0, -192, 0, 0, 0, 0, 0, 0, 0, 224, 0, -112, 0, 0, 0, 0, 0, 0, 0, 24, 0, 68, 0, 0, 0, 0, 0, 0, 0, 176, 0, -376, 0, 0, 0, 0, 0, 0, 0, -92, 0, -144, 0, 0, 0, 0, 0, 0, 0, 24, 0, -28, 0, 0, 0, 0, 0, 0, 0, 64, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 224, 0, 12, 0, 0, 0, 0, 0, 0, 0, -96, 0, -60, 0, 0, 0, 0, 0, 0, 0, 120, 0, -144, 0, 0, 0, 0, 0, 0, 0, -88, 0, 300, 0, 0, 0, 0, 0, 0, 0, 360, 0, 108, 0, 0, 0, 0, 0, 0, 0, 52, 0, 24, 0, 0, 0, 0, 0, 0, 0, 212, 0, -16, 0, 0, 0, 0, 0, 0, 0, -114, 0, -16, 0, 0, 0, 0, 0, 0, 0, -120, 0, 160, 0, 0, 0, 0, 0, 0, 0, -80, 0, 44, 0, 0, 0, 0, 0, 0, 0, -12, 0, 36, 0, 0, 0, 0, 0, 0, 0, 28, 0, -120, 0, 0, 0, 0, 0, 0, 0, -248, 0, 32, 0, 0, 0, 0, 0, 0, 0, -176, 0, -144, 0, 0, 0, 0, 0, 0, 0, 64, 0, 220, 0, 0, 0, 0, 0, 0, 0, 12, 0, -152, 0, 0, 0, 0, 0, 0, 0, -648, 0, 236, 0, 0, 0, 0, 0, 0, 0, 212, 0, 264, 0, 0, 0, 0, 0, 0, 0, 476, 0, 126, 0, 0, 0, 0, 0, 0, 0, -112, 0, 276, 0, 0, 0, 0, 0, 0, 0, 196, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -528, 0, 52, 0, 0, 0, 0, 0, 0, 0, 160, 0, 54, 0, 0, 0, 0, 0, 0, 0, -80, 0, -376, 0, 0, 0, 0, 0, 0, 0, -60, 0, -48, 0, 0, 0, 0, 0, 0, 0, -88, 0, 112, 0, 0, 0, 0, 0, 0, 0, -60, 0, 464, 0, 0, 0, 0, 0, 0, 0, -20, 0, -164, 0, 0, 0, 0, 0, 0, 0, 152, 0, 36, 0, 0, 0, 0, 0, 0, 0, -384, 0, -150, 0, 0, 0, 0, 0, 0, 0, -16, 0, 36, 0, 0, 0, 0, 0, 0, 0, -128, 0, -196, 0, 0, 0, 0, 0, 0, 0, -320, 0, 40, 0, 0, 0, 0, 0, 0, 0, 420, 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: 48517512
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582860182556976, 'source_is_minimal': False, 'source_label': '4400.2.b.x.4049.1', 'source_level': 4400, 'target_conrey_index': 4049, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582860182556976, 'target_is_minimal': False, 'target_label': '4400.2.b.x.4049.1', 'target_level': 4400, 'twist_class_label': '275.2.a.d.1.1', 'twist_class_level': 275, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
id: 48517513
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 4049, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582860182556976, 'source_is_minimal': False, 'source_label': '4400.2.b.x.4049.1', 'source_level': 4400, 'target_conrey_index': 199, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014467262513427, 'target_is_minimal': False, 'target_label': '275.2.b.e.199.1', 'target_level': 275, 'twist_class_label': '275.2.a.d.1.1', 'twist_class_level': 275, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 48517514
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 4049, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582860182556976, 'source_is_minimal': False, 'source_label': '4400.2.b.x.4049.1', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 144115188109414704, 'target_is_minimal': False, 'target_label': '4400.2.a.bg.1.1', 'target_level': 4400, 'twist_class_label': '275.2.a.d.1.1', 'twist_class_level': 275, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
id: 48517515
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 4049, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582860182556976, 'source_is_minimal': False, 'source_label': '4400.2.b.x.4049.1', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 211669182519972144, 'target_is_minimal': False, 'target_label': '4400.2.a.bv.1.2', 'target_level': 4400, 'twist_class_label': '275.2.a.d.1.1', 'twist_class_level': 275, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 48517516
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582860182556976, 'source_is_minimal': False, 'source_label': '4400.2.b.x.4049.1', 'source_level': 4400, 'target_conrey_index': 4049, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 103582860182556976, 'target_is_minimal': False, 'target_label': '4400.2.b.x.4049.4', 'target_level': 4400, 'twist_class_label': '275.2.a.d.1.1', 'twist_class_level': 275, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
id: 48517517
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582860182556976, 'source_is_minimal': False, 'source_label': '4400.2.b.x.4049.1', 'source_level': 4400, 'target_conrey_index': 199, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 67554131883067819, 'target_is_minimal': False, 'target_label': '2475.2.c.p.199.4', 'target_level': 2475, 'twist_class_label': '275.2.a.d.1.1', 'twist_class_level': 275, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
id: 48517518
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582860182556976, 'source_is_minimal': False, 'source_label': '4400.2.b.x.4049.1', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666195, 'target_is_minimal': True, 'target_label': '275.2.a.d.1.1', 'target_level': 275, 'twist_class_label': '275.2.a.d.1.1', 'twist_class_level': 275, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 48517519
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582860182556976, 'source_is_minimal': False, 'source_label': '4400.2.b.x.4049.1', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597797777683, 'target_is_minimal': True, 'target_label': '275.2.a.g.1.2', 'target_level': 275, 'twist_class_label': '275.2.a.d.1.1', 'twist_class_level': 275, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
id: 48517520
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 4049, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582860182556976, 'source_is_minimal': False, 'source_label': '4400.2.b.x.4049.1', 'source_level': 4400, 'target_conrey_index': 199, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014467262513427, 'target_is_minimal': False, 'target_label': '275.2.b.e.199.4', 'target_level': 275, 'twist_class_label': '275.2.a.d.1.1', 'twist_class_level': 275, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
id: 48517521
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 4049, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582860182556976, 'source_is_minimal': False, 'source_label': '4400.2.b.x.4049.1', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81064793326225835, 'target_is_minimal': False, 'target_label': '2475.2.a.s.1.2', 'target_level': 2475, 'twist_class_label': '275.2.a.d.1.1', 'twist_class_level': 275, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
id: 48517522
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 4049, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582860182556976, 'source_is_minimal': False, 'source_label': '4400.2.b.x.4049.1', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189373355, 'target_is_minimal': False, 'target_label': '2475.2.a.n.1.1', 'target_level': 2475, 'twist_class_label': '275.2.a.d.1.1', 'twist_class_level': 275, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
id: 48517523
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582860182556976, 'source_is_minimal': False, 'source_label': '4400.2.b.x.4049.1', 'source_level': 4400, 'target_conrey_index': 199, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67554131883067819, 'target_is_minimal': False, 'target_label': '2475.2.c.p.199.1', 'target_level': 2475, 'twist_class_label': '275.2.a.d.1.1', 'twist_class_level': 275, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
id: 48517524
{'conductor': 220, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 4049, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582860182556976, 'source_is_minimal': False, 'source_label': '4400.2.b.x.4049.1', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043195562003409, 'target_is_minimal': False, 'target_label': '3025.2.a.m.1.2', 'target_level': 3025, 'twist_class_label': '275.2.a.d.1.1', 'twist_class_level': 275, 'twisting_char_label': '220.43', 'twisting_conrey_index': 43, 'weight': 2}
id: 48517525
{'conductor': 220, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 4049, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582860182556976, 'source_is_minimal': False, 'source_label': '4400.2.b.x.4049.1', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052521425, 'target_is_minimal': False, 'target_label': '3025.2.a.i.1.1', 'target_level': 3025, 'twist_class_label': '275.2.a.d.1.1', 'twist_class_level': 275, 'twisting_char_label': '220.87', 'twisting_conrey_index': 87, 'weight': 2}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 3589925
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 103582860182556976, 'p': 2}
id: 3589926
{'charpoly_factorization': [[[1, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 103582860182556976, 'p': 3}
id: 3589927
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 103582860182556976, 'p': 5}
id: 3589928
{'charpoly_factorization': [[[121, 0, 23, 0, 1], 1]], 'hecke_orbit_code': 103582860182556976, 'p': 7}
id: 3589929
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 103582860182556976, 'p': 11}
id: 3589930
{'charpoly_factorization': [[[121, 0, 42, 0, 1], 1]], 'hecke_orbit_code': 103582860182556976, 'p': 13}
id: 3589931
{'charpoly_factorization': [[[1, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 103582860182556976, 'p': 17}
id: 3589932
{'charpoly_factorization': [[[-45, 0, 1], 2]], 'hecke_orbit_code': 103582860182556976, 'p': 19}
id: 3589933
{'charpoly_factorization': [[[841, 0, 67, 0, 1], 1]], 'hecke_orbit_code': 103582860182556976, 'p': 23}
id: 3589934
{'charpoly_factorization': [[[5, -5, 1], 2]], 'hecke_orbit_code': 103582860182556976, 'p': 29}
id: 3589935
{'charpoly_factorization': [[[-3, 1], 4]], 'hecke_orbit_code': 103582860182556976, 'p': 31}
id: 3589936
{'charpoly_factorization': [[[3481, 0, 138, 0, 1], 1]], 'hecke_orbit_code': 103582860182556976, 'p': 37}
id: 3589937
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 103582860182556976, 'p': 41}
id: 3589938
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 103582860182556976, 'p': 43}
id: 3589939
{'charpoly_factorization': [[[5041, 0, 178, 0, 1], 1]], 'hecke_orbit_code': 103582860182556976, 'p': 47}
id: 3589940
{'charpoly_factorization': [[[3481, 0, 127, 0, 1], 1]], 'hecke_orbit_code': 103582860182556976, 'p': 53}
id: 3589941
{'charpoly_factorization': [[[5, -10, 1], 2]], 'hecke_orbit_code': 103582860182556976, 'p': 59}
id: 3589942
{'charpoly_factorization': [[[-1, 11, 1], 2]], 'hecke_orbit_code': 103582860182556976, 'p': 61}
id: 3589943
{'charpoly_factorization': [[[64, 0, 1], 2]], 'hecke_orbit_code': 103582860182556976, 'p': 67}
id: 3589944
{'charpoly_factorization': [[[-116, -6, 1], 2]], 'hecke_orbit_code': 103582860182556976, 'p': 71}
id: 3589945
{'charpoly_factorization': [[[17161, 0, 267, 0, 1], 1]], 'hecke_orbit_code': 103582860182556976, 'p': 73}
id: 3589946
{'charpoly_factorization': [[[-5, -5, 1], 2]], 'hecke_orbit_code': 103582860182556976, 'p': 79}
id: 3589947
{'charpoly_factorization': [[[29241, 0, 387, 0, 1], 1]], 'hecke_orbit_code': 103582860182556976, 'p': 83}
id: 3589948
{'charpoly_factorization': [[[125, -25, 1], 2]], 'hecke_orbit_code': 103582860182556976, 'p': 89}
id: 3589949
{'charpoly_factorization': [[[1, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 103582860182556976, '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': 2, 'hecke_orbit': 24, 'label': '4400.2.b.x', 'level': 4400, 'portrait': 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p/lrmQ49vC1QFjDpmnD/FTCSjegOxSMYo/VgWDrlGG5Yzh5QVHzfLbOws5NIVvmRmyeG7N1bszOLZaLtiqu3OVRV02OnWxz31M+jzwb88SJiET1eNsrOrzrZZa6muPZE9McO6s5s5BwPgX34SXLjVcv8nPfu8qu+SnOLkyzsFpjueOx0pGs9hJ6/YT+SPDs8SUOnepc+fihhVceO31+z/EzC7fe9PrvDO+57ePPNyS+odvfaQZfWe0Qhhal+MDdjx592c/8xifke24+9LJ/+a4zenF1CyudNsudBssdn+WOZrkDK52ElU7E8lrC+TU4sizYNL/Gf/i+ZV58WYNTF2Y5u9Dk7JLmwrLl/FLM6cWEhV7M9OyIl1/b56VXgC/rBCrgwkqNc0ua8yuCwRji2FDzDc1awsxUjAFOnI/p9mH3Fo9mfYy1AoRPf2i4aOuY5TUN1kmRtT6MY7BYVjohOzZ79IYKoSzCjGnXPC7aNmJtIDhxVpMYzVxb0qoJAg/iWDAYS86vSM4tWy6sxgTBCLyYm67q87KrBZvadZZX25y6EHB2CS4sxVxYiTmzAkeWLS+6aolf+L5Vtk63OXl+lvPLdRZXfZY6kpW1hNVuxGo3YaVnWOpJTnVhbaXLr//Lcfw9b2x81Z//YeM3rvyqxPxMgkdQaz/fUHnO299ZBv/wH32Cl910A//6X//rX/zoJ778Lz/0p1+8ZP/Jzp7DZwby5df0uXh7QmI01iqsdeyNlYAEBEJYtLD4Es4u13ngsOTafStcsWtEowaelviewvc1zbqk4UkGfY+Dx2t84RGfEwtjunHEwVNjtsyt8PaXr3LtJT1edEWH40sxSwNBIxhx9Kyl021yzcWStVHC/uOKVkPz9Am4dLtlFCaMEh+tI2ZacOBUgNIJnozRHgzHkhdfMWA4kFx7SUJ3mHDibIu9WxXNRsja2LJ5esBqv8uffxkeO5bwxLERu7cvc93lXWZmQ956U4/vfJVl39YWSTTNsTNTHDntceq84fRCxOmFhCMLgpNrES+4bJH/8H09tkxPc+r8LBeWGyyu+Sx3JKudhE4vYq2fsNq3rPQFFwaK1W7MjVcs8ePvWJR1zZ6F8yf2DofxS4L2xfV6Y+aLj9z3KX7nQ3/2fENmw9vfSQb/2Mf+ihdcuUN95YHD/+exE+d/9uEnj6vzKyHLI8XZgeXa3Rf49R9d5Pp9DS4sz7DcabDSqbHS8VjpalZ7sNpJWO3GrPRiljpwalWg6yNuvnqF73pVyN7NTdb6bRZW6iyu+Cx1BCsdJxFWe4bu0NAdWwajmLl2xEVbDCAIPMvpBQ8hA3ZvVuzdbtm+ecCF1TGPH2rxwkstjfoqTx2epdUMCUOPuRnDcARXXjTio1+e5vJdMeOxZX5KEiVDWrWAp4+PqHtNrr8s5omjIReWfXbMBezdBhdtDVEq4vQS+J5FCMvuLTEzLUlvGNAfeHQHHitdxcoaLHcMK52EpU7C+Q4sjxIu2tHnu169xM1XaGpem3NLbZZWayytaVa6gtWOYa0XsdpLWOtblvtwvqe4sBbz4svP8ys/usylO5osd9qsdmv0R1Oo2r7Er2/9xZG89Bc8czp55Wv+wfMNnXW3v1MAf/bZZ6nXavUzZ05f9OhjT7/36Ikz//Hg4dMMQ0l/BGtDxyhnezEvuvg8v/ajK1x3cZ2F1RmW1xqsdmusdD1Wu5rVLnR6hrVezGovZqVrudARnO1bEH3e9YoOb32x4eJtNcKwwWqnxlrfp9NTrPYFvYFgNLaEsSVJQElL4EE9sEy3LZtnI7Q34si5kCcPB5i4yZtfEqK9NR7eP8WebfD5B2JecU3AQmdITSviJGJ2BuLIQ3sxy8sNXn5Dl8/f22LvNnjo0BiPBm96sSEWQ548knDsdA0tfbbMaGaagnog8H2BEhAbCCPLKITewLLWN/QGhrWBYblvGSYJu3cOeOtLO7zrZSGYFstrUyys1J3e7mpWO7DWS+j0Y9ZScK8M4FxXsdhNeNFlF/iVH13gqt11FlenWes16PQDun2PtZ7Ab+yk1tzy77btuPIvduzccXI8Gg0vu+yy5xtK+e3vDMBPHD/Mps2b/EPPHv6BQ4cO/faDDz8mllf6cjQ29EeG3sjSG8LaULIwlJzrRbz4kgV++f3L3HBJjaW1aZbXmqx2A9Z6Pqs9zVpP0OlZOv2EtV5Mp29Y7VsWeoJzHcPM9IA3vKjHTVfE7N6iaNc9ur0agScBRRhLjBEYC4MRIAwzrRGHzliMDbn9oSbjQZ1LdvjcfO2AyKxx5yPTXH+px6HzfTqrbV567YAvPhywZday/4Tlf39nl/3HA7bMSr7wiOLmKxUrgy5HT81y/WUhdz45JB43uOkqn327RgzjPrc9rCARHDmtaTc0WsBgKDFWkBhLFAPSoH1Dp29ptiJ2bRvzsisHvOGFMXPNGhdWplheq7PadcdmtSvo9KHTi+n0Yzr9hM7AsjKQnO8JlnoxL7l8kV98/yLX7a2xuDbFWq9Btx/QHXj0BpreQNEbCqKkZi6+9Fq7d+++H79438V/sLS0FF5x+eXPN6SAvyMAj+NIhuPh2x+875ZL+oP4Vx544GFvFMIotAxHCYNRQn9k6I8svaGgMxQsDCVnOzE3XbnAB96/yAv3+ax1p1hcbdHp11jr+az1NZ2eojOAXt/SHcR0+wn9oaEzsCz2BYt9iJIx1106ZOtsQn9gectLx+zZaogTiZaWMII7Hq9xcqHGtpmYp47UwDS4YqfihssNQW3Aw4cGLC41uXpPk/b0Kvc+4XHjpTWWB2usrrbZutXywH7FP3xtnwf3a3Zu9ljqd1hdmeWGKwfc+1TCbH2aqy/ps9Dp8MAz09R1kxddbrnsohHIPo8fE2yejbiwGHHn4x6jSCElJMayZ1vIG14a0usrts8YbrgUwrDBSqfBSidgre/RHSg6fUm3D91BQref0BskdAeGtYFlZSg50xV0hmNuvmyRX/ihVV50qbs4Or063UFAb+DRG2q6A0V/JBkMBb1BwmAY84IbXhRZq37y3d/57YebjfpnPM8zzze2nvdM5ng8IIqG33fq2EO/vnju2dkLC6u0GhKlXKCI+196cxagEBYpLVJqHnx2Cz/ze5p33rzC+167wt4dIeeX2wR+nXrg0wg8mnVNry5pDT2mmtpdMMOELWPDcGzpjQJWFmucPmUJY8OZ8zFBYAGBryxaCgZDhcAjHmhesEewb7vloh0DxkmPWx5UHDg8wxtfGHDDlat85BaLLxrs2THgiXsVO6YV8+0BNVUnjDwWetCsaXZuETx2IOSGy+q86vol/vCzQ3yvxetfYvGCAV96IOTz9zd55lidi7c32LMtYdNMyN75iGv2JChl0MoClkYQsGk6IIw8egOfpw55rkRh6IDYH0J/ZOkP3HfvDRP6Q0t3aFkbwuJAcWHV0pjq8BNvXuQf3DzmuoubnFtq0+nX6OXgVvSHisFIMhwJhmNHAGEMd93zoNduz/76ps0PrLzmlS/5F73+4A9bzcbziq/nFeBR2AfBD509fu8Hjh340mw47FMPfGzqhFgEoEC4pUYIkMJ10ihpUTLBl5InDm3i0WebHDq7wDtf1udlV42YbrVZ6TRodmu0hz79gXYnZyQZjjSDsWY0toxCQxhZosgSJ+4exj7WgFQCTwtqvmC6JZhpwdZ5w84tA+ZnOtz6MNz1qIc0U7zxhR4vuKLHPc9EhKM2N79A0BkOWVhuctNlhvnpAXUdMIoVi90IZQQvuEzTaI155GCNV94wxUuv6/HIQQV2ihde5fODb1vhi4+FfOHBJvtP1rhok2LrbJ2ZVoOpFtQD8LRFSTAW9h8TJIkgigVhDOMI9x3HCcOxYTQ2DEaGwdjQH0J3DIt9yUIPxmbE665f4e0v6/A9rzfEcZvzS026/Rq9oU9/6NEfKnpDxWAkGKTgHo4Mw3HCODQMx4aF5XOc/YtbZvuj5P/6B299le72Br/Xbj1/IH/eAB6OlxEi+cHF03d+4MLxL26Wtk+zESDHblUTAEIiEAihEEIgJSm4QSmLVhZPGeqeYGlQ52Nf3smXHu3yimvW+N7XrXHN3j5z0w2W1xr0hgGDoZcCW7l7KBhHkigWxLFb6m26XChp0RpqPjTqhtlWxI7NA2L6HDoT8ed31jh6qsl0UOfGqzQ3XdvlgWc73H5fm5dcWuOibQM++mWBEgHtVsRaf4yxoARsag/o9nxMXOftr1jgY59vsO9Cjbe+ZEAYLXPnk3NESY0XX7WZt97Y5dJdHb70yIAnTjV4/JjPzlnJbFvQCAS+5y5CKUAIi7FgjCWK04s1sowjdyGPQhiG0BsJVseClR4IPeL6y9f43jes8YqrEubadVa7DTq9Or1BQH/k0R8WK8FgLBmOYJBeOKNRwjA0jMaWcQixVZy90OUPP/aFzYMxH/iOt73cnr2w8vvbt8z+/Qf40ppFacT0grArFz71/Uk0+JXuwtPzmh71WgAiTnlbI4RDuRASIQRCSJTUSJmglEiXZ4OnLIG21LVgdaRY7szw8Tua3P9Un5uvW+N7X7/G9fs6zCV14jhgMKrRH3oMx5owUkSxJE4kiREYK1wWVFgC39CoxQR+iO+NObM85rMPSQ6f9jl2egZlAvZt87lyr+KFV3RRwSJPHmmxY7rB1RfD1k2rrHTbXLNDEhvLrQ8GjAeS6WbMm1484jN3Rpw83+LySzzOrY14+qjHri0zXLd3kXue6HHv04Jx6HPF3lmu2BVwxc4eR86tcPgMPHigwaGjTRpaEGhJM7DUPJDSEYO17mKNEycdwkTQHwu6I0E3gtDEGDviRZd2+d43dHnFNQnbZgNGoymWOzV6/YD+yGcw1PRHisFIMRwLhiPJcOz6RkfjxHn8YwfuYWgYhc7RCRPF4rkuv/NnX9n86OGFX5mZasY/+au3f6QdPMPP/dN/+vcX4EkyAlF7xTH70O+L5d+abaoL854MaNRrCClzCSIEKWvj2FoKlBJopdJHg1YJnhb42uB7lsCzNPyE6ZqgN/ZY7c7wibvafPnxEVtmBrz31R2u2DViNOxz9V7Lrq2KceSRJEWaX2CR0uDphBMXLMfOC9aGhk/f0+DM0gw29JipKbbPaXZv1Vy8A67e18XIJT74mSYrK1O85ArN1fs6fOlxgYg9Ns9Imo2YQeQjrQQrUdqnMxJcWBFcZRu8+oU9vvpIne3zPi+5epZ/8rYl/uDzPR482KQ/8lhea7F3e53Ltw148WU9vuOVPc6urPDpewKWBwEnznmcOePjKYGUbtUz1pIYiIwliQ0zcxHXXjVgPI64YteYd796zOYpxWwrIIpqnFusMRj6DMZulRvmwJYO3GPBaIxbCcYJo9AwDhMngSKbghyGkWAQCoaJ5syZLk98/N75N7xo5jfe+Kq56E9u6f/p7//pr/OD3/Mv/v4B/Md+4Y/ZMlcTf/Dn/23v2vLBy/bMH+AtL/WwFgQyBXUBcCksUjqpIKVESYlWAq3SRy3wdIKvBb5nqHmWemRphJapWsJMXTAIJb2wybHTTX75T2fBxIg45oXXDti7NSSOwViDtS6JI4VAKoH2fA6e9Nl/uEazpmn5kvmGYNOcZPOsZvsmxe5tCZfvXiMRy/zmJ9ucODnNSy7zuGJPwjDucd+TAdN1j7kpy3QrpFF3UsgYSWekWOlbljsJnX6dl1+9xkP7Bxw4qZhu13jxVdO8/+3L/Nan4JHDTfpDy1pPc2Glzdb5BptnRuyeG/Gv3zOg3ejwxDE4eErieRalLEIYsujcWohj2LM14eZrYpLII4oDrG0wCj3OL/kMx25FG4Uql2/DUDAaC0ahY+1x6LKy47FhHBpGkUnfszlzDyPBMBL0QsFqJOjFhqQ3wI6OTs/Xtn/oV/63S+LXve6NH3/fa3/DNrf/s78/AP/nH/hz9mzfpH7g3/7Ru373k0sffPCxU7z++in2butyxa4+UrqTIoRBigApLUp6KGVRUqGUSvW2xNNOc/qeYuxJxqEhCBPGkaUeGcaRIQwt7RjGkWEcQxgLRpFknARESY0Dh5s8fgASa3HQdtrYk+ArV/PRCuDqbdCuw1RTMtNSzE1rNs/CRVvHbNu0RmRX+M1PTnHk6BQ3XKy4eKdk385VvvJ0zIXlKV64VzLTNtT8IYEMsEoQJxJhLXESstqvcWHZ44Yr6rzgsh73PFJjy4ygUWtxw2WGn3jXMr/xKcPTZ1qs9Q1rPcXiqmZ+uslMu85Me4p2I2JTM2L3DSGBF+PpGKUSpHDBhMVdVFGkWFjURLEiihVhpBhH6WMoGUeScSgZhZJxKFyAGgrGoWUcuuM6DhPCMNX0kXt/FMIoEowiGOTglvTDGDMa8IJ9q/zv39XhpisXGlZ7H1k7eZsx4pJPrpz4nWR2949+6wP85371Y0w3fXX8+Ol3Hz1x/g/vf+JcLWYTn3+ghtaSX3j/Glfu6qFkglTGgVt5KGXco7R4yuJphactXijxPeFOgicY+4owckCPIksYJ84ViUv3BOLEkiSGxOD0tiEHdyaFtATPg0ALaoGgEUiaDcVUQzIzJdg8G7N764BWc41PfjXkzidnWVtqc+1Fit3bPC7dNSIRa9z6YIOmp9k0o2g1Rjx5BJ45qrlml2UwVlx3acS1+yznzyUsrvoMRw3efGOPu58YcuiMolmXBH6bay42/ML3L3PH00M+c8c8y13L7s0Jqx3NdFsx1fRoNTyadUstMAS+IdAJWjmpJdPWSmtxCSsjiI0kTgRxLIhiSRgLokgyjpzzEkaCMLKEIYyjhDAyhCXiGEfluwP3MAV3N5J0IhiMI2TU54Y9q/z8D6/wlhcb+sMp+v3jtThu/rHwav8YNf+X5w59ONl26T/51gZ4XRnZ6XTed+L4mf9+4MDJ2nRd0401oZT8zb2KcKx492u6vOd1fWbaCT1p0DJJdbbTw57WeJEm0IqR55hm7ElCXxBGwp2cSBHFEEbSOQhxYfvFiSFJnLuQ2NQpSd2SzJ1R0skeXwsCX1ILJM26oN2wTLcMW2bHbJrpEds1Pn635A8+P8fmWo1rLxJctM1jz3bD7m2rfPI+y8pKjSu2Kmba0GpEXDguWVgN8PfCOBJsmpJMT8OhY5bVruH8Uo1L99R47Qt7fPauGnMtCHwfJae5Zp/gh9+6gCcX+Jt7ZnjmTI0t3YjN0zFTTUWrrmjUJfVAE/gQeKC1c5ikAClKIMdd2ImBJBHECSnQIUosYQxRlDhSiAxh9hiZ1HbMXJnUgoydJOlHgm4s6UWGcBQyFXT5rjcv855X93n9DdDttxiOA8aRTzg4XpNB7UMqqGkhvD/D8cy3JsA/+AefIjbm++++/+ivHTlyqj3XUAxjixSCrvAYixa3Pqi57+ka51aX+d+/Y8BMO2Yc1OgOamjl42kPT3v4YULoafzQSZMwcql0xzjCMVHKSnEMUQJJ4pwEY1zAZYzNejhTcDuAu8BV4GkHkFoAjZqhVY+ZbsVsmh4yP7PGVw+E/PHtdQ4em2bPlMe+rbBzq8/OLXD5RV0GcZcH9repK49NM4rpFky3xsxMxfi+Rgh3cQ3HPivdiLWBpdOPWVj1uWhri5descDtDw44eKZNI4jwlI8QU+zbofhHr1/iRZcv8Me3t3jgqWmW+5rN7ZjpRkyjJqnXFIEnCDyJ57lYRSlS+9Ch3OJ6WI0hB3qcmHR1S63F2BAnDtxxBGFsi3ua0BnFjlQGkaAbC3oxjEYxJh4yV+/y49+5wr/67j6NwKfTqzMOA8ahzzjyCCOPUed02296v9meu9Y//NSn/uCSa975rQfwldUOSqkf+p3f/8QHTpw8PVcPBDpxrKIE6BTkQylZG2t+7S889h9Z5e2v7PPq63tsmQ/pdesMxwG+FxP4HuNQE/jO3ssAHkWSMHbLbhSnnnZCav2RMrfEWApwuyRlytyglUuY+J6l5hvqtZhWLWamPWbbfJcLnQG//WmPWx+aZWW1ySWbBBdtFuzY7LNzs2Dv9hHaX+Njd2qOnmpy2RbJTEsy1UyQcsyZRUugJVKAtYIw0uze3OVBEroDxWrXcmGlzmU7a3zHqzv85Zd8jl8I8HSEEB7GNoliyQv3rrL7u7vc+siAj946y8PHm+yYEcw3E5q1hJovCDyB77lYRStc4CxFXpNhcReZsTinJXGAz0AeJ07SObBDmLhalzBLHsWCYQy9WNKLYRgaksGYnfM9XnXDKu945YC33GjQosHqWo1xFBCGDtjjSBPGijBW9JfOzen6vl+5/LrvUKNh9/dq9f81NeX/SwC+strB971/8rlb7/zAY088vTnQ1ll9cQpw6V57UtCXkp6s0Qk1H/tKjTue6HHDFV2++/UD3vqSDnPTAcNRwHDsE3geYewRRjoPlOJYESWSOJZEiSCOJUkiSIwotLYR5KrEZm6NSxapNFnke4bAT6gHMa36mPnpPsNoyJeetPz5V6Z44KlpZnyPa3ZYts1Ktsz5bN8k2bkl5OIdqzxxfMin797ElNJsmhK0m4J2I6IzSPj8fTVavnOHjIXhWPP2m8d87n5XE9PpGxZWNTs3t3jny/o8cKDH/kM+zSBGSeFAbhqMQqf1/9FrO1y2bYGP3dHl3memOblaZ2tbMFWzNHxDTRt8D7QSKEmaIHPfOys/MqlUM6ZY4eIU6I4gIEoEUZICOxGMYsEgFvQTXMwThjTrA975xhXe9/ouL7wsYcuMx3DUpNv3CSOfcVicszBywa4jKMHpEwc2+7WvfuDiK15hhoPOh+uNb/5YuW8qwFdW1xj0+kjB933py3f96udv+eJcZ22NwFeonL1dalkK0AJ8CYGEnvQYeIrT3YCz9ze4/8k+f3ltj3e/dsibbh4xO+0TjgPGsWODKNZEKdDjRBEnacImKQBubMrcpqgpE6kNqaSr49Da4HsJgR9RD0Ja9SEJQ774iORPvzzNU8emEFHAnhnLtmnL/LRi06zP1nnJ9k0RF23tcmqxx+98pkk8rrNzp2C6pWk3od2IEF5Id9hkumURQmAtRLFkNlDEJqYX+fQGCatdxZnFOldd3OJHvn2NX/mzgBOLTbSK0gtDE8c1RqFk61zACy/pcu3FfZ4+cYY//0qd2x+e5mynTjNQtHxoehZfWzwFWrpjLkS1us4A1riLLjGCxEKcCOefJ4IwcUmiYSIYJjCMLXEcY6Ixc7Uhb37dGu99XY9XXBMxVfcIoyarHae1o1gTRl4aG6WrbqyKFTeWjAcdnnj0js3jSP3qvstvjBcWzv5Rs9Gk0fzmAf2bCvDBYEij1XzHfQ889Fu33val9qDfpVHTRLHNl8nM35bCHXiduGImXxnqiWCgfAaxZmFc42/ub3LnUwNe/IU+//Q7e1x5UZfN04p2QxNGPmHsEccFyJMM4EZirMRaJwlsHlCmqX5lXRCrYwI/xlMh3WHEYjfiv36yxrGFGR7ZP401PnN1weZ5y/yUYK6tmJv22DIn2ToXs2PTgLnpVW591PDwM9Ncu1Mw05K0GpJ2w9CshwhvTBBotHJ/31pIEslwrBmOImIj6A0Nvb5lpetxfrnNTZf3eelVa3zsCzXqKwotIwdIq4kTnzByPZ7z0zVetK/Piy7p8+CrznJiUfLHt0+zsNbg9HKAryRNT+BnMkw6ksmJPJMqOCaPrSA2EBnBOIFRDKGxkMQQR0g1ZvvMkGt3u/Nx45UJ7bomjpt0eg7YcQpst8LqVDYW4I4SmT46Sdkb9Hn4wTvmLPq3Lrvi+tXxePjpbyYmv2kAP3ToMDu2b1Uf+aOPXbL/4LPtbrdDLdDEKXPLxLF3lDipoqRFJ6ATgacsfmypJYKGEgyVYKADhonHcljn9oen+OozQ5rBmH/8lg4752L2bB9y09U9tHAtYkI4ueKykq5W2toSc2MR0qKE88wtMciYp49JHjqg+ewDLZ4+2SKMG7S0YlPdMtu0zDSs88Hbmtkpzdy0YOtszPZNQ7ZtWuXOp8Z88LOb2Tat2dSGdlPRbgpajZh6MOarzypGocZrOlBZKwhjSU0rrr9syP1PTrvCp2HCWtdjaS3gwtIMP/LWC5xeWub+xzbhSUBEGMgBNA4l/aFmplVjut3kpZcNeNW1A777NYscOGX43AM1HjhQ59mjTWKhGY8Vg0ih8tKHcuCZ5gSsITYWawyeSJjyQ2pEvPSGPnu3jdg5H/G9bxpT9yXNukcYNuj0/HQl1SnhqNxrd3e5/p7blILISPqdDo8/end7afH8Ja9707vVsWNHkr179/3dAfiBA88wNzflP/rIwz/gafNrg94q9ZpHYmyRoZSOxaV0jK1inERILDoGTwo8YwkSS00JGolgbGCUeAwTj0FSo9dL+NWPzWDjiC2bRlx10Yi5qZh3v3bIRZtDokikeltCibnJP4NBSMEn7qjzxJEmQmtOnG1w5kKDWl0xFQimm5Z2zdCuQasumGoo2i3FTEszNw3z0zFb5kbs2NwlsWt84u42w36TS3da2g1FqyFp1Q2tWoznhdx6f43xQOJtdt2imURp1hVvfvGQux419MeS/jChO9Cs9TTnlxtcubfFu1/R5ZGnG5xYaaGkAaJUL3tEiWIcucRMf6Tp9H1a9QbN+pgrd454yeUjTi10OH5uDe0lPH5U85dfaSCUK1xjcv6gNYABa4nChN1bYt772iHz7YTLd1u2zEESe4zDFnHssdr1iCNFlOg0DnKAzgDuYiKZ1vqUDYDCCIhikdqVmrPnVmlOx7/2yCMPD/ZctOcPDh7YH15+xZV/NwB+6tRpFhcXLzt79sxvP/bYw9JLHQPH3o6tY2lTcEOcpuBjI9Cx04lRYvESpwEDbaklljgRhMYSJoKxkYwTSWg8IgOL/TZfecJgSfjrB9zIBqxJ71kWL7XIRFaRKJFKEUcaaTSelrQC2LvJ0vQMjcDQCKARCJp1Savu5NBUSzLThrmpmE0zY7Zv6pGwyn/9qxr3PLmZfXMw00jZuyFp1WMa9ZBmY0i93iBQEiVTDY6TA1HkMRoKhuOE3li5rqWhcS1zTZ/TF6Z4+VVjfuI9F/j1v9ScXAsQwmBthEksUewRRpLR2JWxtoaaZs2nUa/RCBrUgohWPeSFl4b4XsSNl8Z87+sGaBWnSSDj6u3LojyVdMZIhJAEngJ8RmPN8qp2dTtJFvOk91gWMVBauJaBOwN2lliK06C1eO3Od5xAFFkeePBBaZG/HY5Hd49Go6e+Gdj8nwb4rZ//NM26Vz927Oi7Dh56ViglU6bOWLsAt1IuASOVRSWgEqcN4wR04nof4yyiT9KoPovsjSheG0FoJLGVJEYTmYAktb3KtzxLmdqSWoKnoFa31LSlphICDwINNd9SDwR1X9KoSxo17QDeFEy3DLPtmLnpMZtn+2zfvMwHP2v46O1b2DWtmG8Z2k1Fq6FoNqBRT2jVI84tG46cC6j57oKGrNJPMAo1e7cats6P6I58hiObsrhkradp1Wu0GtN87+sWOHruPB/69A601FgMiUmIjSWKNeNQMQxdUdSgJmmMNPXAox4kdHouxvC9xCXMvAQtXaOElEla92NLjSWuhNOBXNAxaZWlcXFNkkiMkcSmiHccQLMAP3teesxZOgO3SzJFiSBJsnyFAzoInnryCdHvDd+1c9fuI5/61KeG73zn/5xH/j8N8E2z0u/1Lvx0r3Php4UNZeBLkgSklDnApbQk0pKYtJY7ESSpPIkN6PRLJlnywdj0tc3fK54XlXLOyxV5oFTW3ECaybNpQGvQkrSmBTwl8LR1vrEW1AJJzZfUA0W9pmjVJa2GZaqZMN2KmW2PmZ8ZcNGWZR54dszH7tjOTC1gS8vQbggH7rqkWTM0azGtxpgHDsLjBxpcssmmurdImw/Hihsvt1x60ZAHn5pmMHbtef2hTkHu0ajVqdem+a5XrvD4swvcv38rWIUxiSuHjS1xZPN6kuFY0xhZ6jVFzTcEvkfgJwTaoHWCp112WCmTFrG5FRZhERR6rgjOXQmxyRwpk9mvJSs2A7ZxIC5ekwM7uzsCSx9L9/xcJ7DWGcgTp87+nzGBX6s3fhEInzeAD0cDGY5HP//lW//sX3TXzvn1QLsPLFO7SQiSCsAdsFWaVEiURZv0uXENtCYhf55kGTebZd4sJs3EZckKay2lzHtlxc1S1VlCR8k0Y6koFW257F/gK2qBoh4IGnVBq25pNxKmmjHTrTFzU0O2b1rl/oNDfv4Pt3Dy9DQXzxumG9CuK5p1RbMGzVpCvRbheyM6I1cs5ikXf2S3xGRa1KddjxjEhkFaZz0YJfQGkk5d0egF1IIWe7ZG/MIPdPj3H5Hct38LFoWxhiQxxElMGBvCSDEKFcNAUh8rar4k8C2Brwi0wfOc36+VTet80lU1lSlC2GqDbpratymJ2LSWJUkBn5ji0QFUpo+iAHj6PClJkSz55i6AlLTScgqTJpqOHT/tS13/yR95/z/yhsPBv6vXG3/rdP7fGuDDQRebRL/41GP3/PNz507VfF+SJC4NH6fJhUS6K1ZJQawyIFuMdOBOUnCb7LkRGGPzNLLJPVqwxrou8rQEtHxnAuBZYCsycIusptxJIp22onlaEvhuAFAtcCMZ6oGlWTO0GgntRsRUK2S2PWT7pjXuPzDg3//BPAdPzrJ71jksrbqk2ZCOveuWRi2hUYuIkpA/+UILqRSetChR2ITGZku4xz964yq3PRzSCwMGKcD7Q0Wvr+gEmpofEHhtLt8V8x9/cJmf+wPBvU9twVhJYlxaPYpdodk4NIxrrtw1CAQ1TxD4LrPpa5tnbLUyTibKwrbNAV6kPIGURHC5BOe2pIF8BuB06oDJk2uk7E6+4marcwFwW3pMcZE/NyAkJ46fqH3xi3f+H2960+vEWqf7M9NTf7tM598a4BfOHcVa+9ITRx+tCxuilXSaTjpL0LE3KEP6KEikIMnTwxm4M/nh3jN5rUTRfuWALlwdRQbq7MBPfK6idzOtM5EUxVRpHbkDuMTzpKvf8AW1wM08aQQJzboDd7sZMt0esmm6wwMHBvz8h2d5+sQ8O2cEc82SNKlpmjVXv1KvxdSDEM8bc2Z5Bk8JlDSpLVcEmUkiiWPFthlLHEd0o1raKWMYjhJ6I0l9oKj5Hr5Xw9NTXLEz5j/+k0X+7e/D/c9sJjHSATyxRHGSMrlhHBhqoWTkq1yCeR54OnWulHS5gCxOEiDSxw0w7uQKaVIIkSeHTJocyrLFSVJ63xSSMykB25jifOc4MLYCdmMto3DM3fc+VN+zd89L/2d2nPhbAfzpx24Bwsb+x2/1bbJKLSg0lEwBnaj0iyUO6MZk7zmgG2NJNPmXrAI7kyE2B7rN5Ej2/Dk+mxRFEZULdEUObiVl2iiRyROoeRD4hnrNUg+cfm7UI9qNkOnmkPmZDg8fGvFzvzfDkyc2sX1asalpmKoLWjVJo6Zo1AX1mrs4XKo/5P79gv7Ip6ZILzKnwbMmhMQIoljTrCluurrHA0+3GUROpgzHCYOhohcoAl/he36qn6e5cpfhl96/wE/9Lty7fzORkUTGpM3SRQ/m2JcEvnHs7RV19Fpld1KZUsi4rNlkI5BnSSGbATwFfJI7L2y48ppUX5sSiTkQbwx0k7G9EZy7sMZHPvpp/73f8dbGxz7+ucH73vNt/+sBvrx4nJm5ndNPPPjJ37HJ6JVaxghPuStQiuoVK53mNqVlyzF2cZUbJTZm7RKgTQ7soimYVHvnJ0O4TKmQKbjTIiOVAxxUWjHoafA9XCeQnxZYBQn1VF606mOmWkNmWl0eOzzm535vhsePb2brtGZTwzBVh2ZN0KwrGnVFI2fvhFoQ02qMuPNxn7VOjZmZIk2eAcak2jRKFJvnFK97QZ87HzKuiyY0JZBLap6k5mk87aN1HSkNV+6yfOD9C/zU71ruPbiZyGiitALQlb06Jg8imVcX+lqidVqEJQVKZ8eG/PNlF2EmVURWlUaREJq8m9KjMaXHfOWtgrtc2ZmUXhfgLlg+jA3d3vCV+5899vvv//53/+jBQ8fXLr90z/9agPe7ZxkNFn+qu3rsfeFoEd/zSYxxYM4+oJxYooxIdXZ2lRdXfCY/klyGkLN3JZCcZO4U6VlGLtfeMqugK3R3VjGoFa4+Q1s8zzUW13xDzU+o12IatYhmbUyrMWJ2qsMjz4756d+d57GjW9g87bG5kTDVsCm4U/auSeqBY/9aENMIQmIzphcGCCXxMgbPNbhI2Sv1iyOPpj9y5QJhjZkM5KOEge8YPPClq4nX2Qa0lmv2WH7lRy/wb/674d4DW4iMZpwIwsSkLC6oRYbAs/ie613VadyhlSsRVlKmxyftys8eS4VZ+YVZjnUmwJ2TUImYyuDO4ypbPC+/l9Xq56yeFLg5c26Zp/Yfe9/d9z16ZBxG//Z/KYMPuieot3bsfuK+D10bDU9T8wWJTZBGpH2TRaChjC2CEGPTjpKsqMeWAC7yA5WY8gETJaYospK2vGZmrF0OKrPlNu3QUWkwpXXaGZQWIWXVgzUvSXVzRL02ZqY9YKrZ4/79MT/zwXkePbqFTVOaTfWEqZqllYK7XnN2YgbuepBQ82PazZD9xy13PNLElxJPmTSIKzyKbPmOEkVsNK9+YcQlF/c5crLOpgZFn+M4YTBKWVgrtPbSSkznXV+9G37ph5f4t79ruPvpTYyiukuGxZZGWsMdeDiQ62z1Mnlvq1RJvsIpKUoAFyWQs06vFCC3VYDnFYrFyrvRylywO1UGL8mcJPs9FIeOnuPWLz907c//zA/vPnD49IkrLtn5zQf46sp5jJjac+7E/f/FRMvvELaP52tkYlwAmTO380nzwCO3lywmyeSIWLekZf6wzT3tCZdknVuSMvckuIVFqswWTGteVMra2uJrg+cZAs8Q+DE1P6YWhDRqY2anBqz2Btz1FPzSn27licPzzKfgnq5bWnVBsyZyr9w5L8axt+8AXg/GhEnCaFijptxFJoWoVPJliRQXaGqn5fWYcWgZRqIEcIPvJ/iexvOkmyogvRzgCLhur+CXfnSVX/2zmHsPzHG202bUlEwnllZsqaUTBwLPpt5/5qTYnL0zqZIBPP+86Ycu4zxXiOlJyVbVAtxVSemqOUtgrwA9s36L1TwpgT4jxOW1AWfOr7zjti/em7z+lS/4P06dPnt8187t31yAj3tHiL36SzrLT7+rt3oQ3/cxqTSZ9EVNbvmV3rOp3k6liAO1SJe2LGFTlSJlgGeHuKwKs5Pgxj1k7F104xfDgVxZrKdNOmYiycEd+Cm4Z/ssrg75wJ80+PR9m1jqz7BpSrKploK75nR3Iw0s64GkEdiUwZ32rgUhEPLlx3xWI5+5gEo9NqK6QiWJa35oB5rX3jDg/oMhvShgKu9YN/hjV6vuawdwrVxDtpAuQYOFK3ZJfv2fdvnc/UN+8cNbOL00w3BaM+0LWrGhEUMQudHLvnIDjbws0JQiD4Kzx3KgXr4whch7RfLzAxMSsgzsUvxkSuAv5zEmQZ6UA1TjbEkrNA89dpiLdm59V7vV/JNef3j8m8rgcdRD6ealK+e+/M+i3sPUaoA1JMY69rYClaQp3SzzlTF4mgHLAJ1r7RzUmQSxhQ01ydplWZIe6IxZsnRz5gKoDODKunJcnfV2uv5O30vwvZiaHxH4Ea36EK0H3Pl4wu9/vs1n79lMaNpsbgvma06WOAsw88lVehcpc5fZO0LrMV99ZppBqNnWyD7PJINnq5srJa15ipdeOSQ2DuDDSLiu9axzfWxccKjT2TCpvZcNt7MI5qcF73tNn1Zwlg9/fshdz8xxPqozqEnasaWprQO5TuMQZdO4JG1GkdkxFEXtuARJweKTOwrmUiUbUcGkNi93DxW15xmjJxsEp0mJABNbJPmM0Nxy59Ncc/Xl/+y73vGyRzvdwaGp9tcfCfd1AR4ND9E5+2m0P7097B54lWaBul8nMXEuR5QRGCkd4G3B3MaUJUnB3hU5kmlt0mRCBdgl66FsXwk7IU2yrJyrGHSj3Uxa852CW7lajMCL8P2ImhfSaIzw/QF/ervml/9oM0cWZ/GCGltbgtkgoR1YmgE00w77euCynbU0IeTqV5J0JXDyZKmb0A99fKXwZdHcQemrZBd2VrsRxh51b8TW6SFrgxbDSKTj1lys4HlJavOp1O5U6aiNcuDqKh/f8Yo+N161yC/98YiP3rqJlbjJIPBoepK2djU4gQZfkTdD6Czpk8+hEXkWOEsAlUmlKlbKQKeyAhtblZqFNp+4rzMbytlrQWwhMYqFc11uv/fAq7qjePvCcufQQ8+c4sardv3PAdzahKltr98z7j76wWT4ML5niU2MTCTSSJQ1ORtpIyvpXGurEsWaor4hCx7zg4AoSRIxIU0ycNuCTdLsmywDXFqUdKMnCuZOUpDH+NpJksAfE3hDjl+I+dDnmnzq7jmOXpih3fCYrcFMkNAKbJp6z8AtU3DLPClUS7V34LsLp90c88mvag6dqFNLJ3Dl7WIUKM/HOFinw6NYc8VueNuNPX7/ljn6DU07nT0ShGncoAxay3RsHSWQe6WT5c7DRfOSn/mHA67de5rf/ewsR89PsRLXGXiaphI0UqD70roLJ3WZ8tUvO66ZfYjT50Wm0673yTNiykonct98vaVoyyC2VZMhlycp2BNbArnQfOaeg9z04is/+D3/4OVvubDc/bpS5WsCPApjtKdYW7hv53D1mX3RuIPSHsLErpgqkSlIJcaYtLk3Y+/S80rxDjn4bZm9raiMSrbpCSNj7AzkogC2eywKupQ0qWuSsXeCp2PXuaNjgmCMr8f0kpDf/rjPhz+3lTPL0xhVZ3ZKMetbpnxDI2XuRp6+l2mdSipNUu88B7fvspfjKOTQ6YB+GDATpC5OlnTKXIksC5uduEQSRZp2U7N3Z4gKRvTCFkNfUI8s4wzgOkkTNcr52DIrAd4oeFVsmhrwI+8Y8K5Xn+fDn+vyoU/MsTRsMtQ1alrR0IK6sgSxdWye9slqWZQ3ZFnOdUzOBnJl0mGBaiyVyZASkZVZPI/TbOaiiFyixAYiK4iFpL/S4YGHDuzbPh3sfNvrX3g8imI877lh/DUBLpITINubAp+Pr6zd63lKImSClQZlJImUef1w1gNpMzlSZvGsWMdOADsFfMHY4jkylLZkB9oc2BV5ItMqOZU4gOsErRJ8L6Lmh/heSGcU8tUnJH96e5tP3D3HKGnh+z5zvmDaNzR9SyOwNPwC3LVAEgSSIJUmLjGUOhMpwH3PZT6PnbPc9XCDMPIImnZdgJndinS2O3ZhpPA8zetu7PGxL/Y5eLrJsOZGM4w9ix+DFxm80KCUs2OdjJDFcB+K45kYSWwkjUCzZXrIv/muAVdeNOajt7d4aP8Ui8MmI+XjeZqaFtQlBNmApcxela6uKC9YE6XjnzL5ZHFWmdEzgpp0xLLXhfYWJTYnrzeKS8wdpgBPAKU9PvWlx7x3vPGGj5+5sPqC5bX+4t+awe98covc1nroJXvbfzk101ogSYJ0FJgDszKq9FxSlFfKKrgnZEl+z4CdSpQyg1cKf9KJ4WS1LsKNesvKPZ3utmiVOICrJJcjWkd0+hH3PCX4w1va3P7IFCudFrJeo1VXTHuWtm9oeJaGb6n7pKztmLseSGq+ouYLaj5phZ5JwW0IPKe/lR7z7Gk406m5xEqqb6uJk6J+xvVBOpDHRhKGmi1twaW7hjx5MmYQeYzTGd9+iAOfyibrZokakBN1GtnFk9mQUeLqw9/7uiFvevEqX3q0x0dubfPQ/jbLvQYd6dP3Nb4S+FIQSNcIrqXbpU6J4iJVIi373YDB19WvTDJ5idAMpcAzBW4uR0oAD1OAx6kb48BiGA9C/stHPjv1y//61S950dWX3cLXGB70NQG+snYmWFj0//uTa8ea73jpkCgxGKNS+eHqkota4azR1wG8DO7Kc5Pp0BLASwekwgsVaWIrBfpOlphUcxuUTNxA/MzNkBGLvZg7H9Z8/p4Wn75rioVuE1Gr4bU82hqmPNfJU/dIZQfUfZHeZVpymupuXxBk7J0BXMf4fkzND7E24suPBJw4V2d+VuBJk+pYUTT6ltjOlizUJFEMxx67twhed8OAT90X0o88hpGg5rl+VT+dLFWsUir3q90cdYrjaoXrS80aFYzz2+vBmPe+Zsgbblzmr+/u8bl7Gtz5RIuFToOh8Bn6Gu0ptHAjPTwp8YRNpZZFIUrSsGofbkDmFResYG6RB6DJBGO7eyFNkvzKSLu1TAI2gmTMrqknmpfuuvm/w5krgeHfCuD7Dz3G8lqXO79qeOcrI+rGEMWaJNFpY68sgT2VKFZWZEn2OnuvchLA9U5uUBNYCShLwHYDOp0kESnAtU7wdUStFjEaJxw8A8fPKv78C1Pc8lCbhdUmeDV026OhJC3P0tKGumepe1DzHLhrnptJ6MpMZeku0p/bFOQmB7nvufa0I2cNTx4LwPPSZd6WUvSigoJyEObqpQVx4sY5X7N3zFU7+xw402BYEzRiQRBZxorU2jMpe2duSmZBFlol99nzpJtKpw94jEKPen3M9795zNtvWuO2h/v8xRcbHD9b48CZBuFaQBxoRlojlZvqqwCdPmZMnksXiuB/3S13UwpQGwpQG0pWoAWDa3zORbtN0ixgDKTPkxhpx/yTN58n7ByYXhP/+HtWe/b3Z1obfYCvAXBrD4ko6v+zO27/z/Pj5REPHvB4yeURfmCQOsKEkjBUjtGtShm6YPEqsGWhuxEpqCk9TsA7i9RzzeeSGk6SmHSXh4QgcJNU4yTh/DJ84SuaI6fr3PFAnTOrdY6cbUIQoBqamlY0taWpjXMRPDc4v+a5cW0OxNldpneVApxUc6fg9hICz7G3u7BCji3C/uMNPFm1B3OJQlEPnjsKmZNi0r7G2OOq3UMu3TzgqaMxg9ijFQnGGvzYzQRUJYBLKRBSVpgcJu03kQezWR9llHiMPZ92PeQfvXHMK67tcma1y5cf9Dl6KuC2RxqcXa6RDD2M1ES+QkjpVoq0K1+SZjwhly0bgbwSaFLOUmduS6ZRTemeMnYG6iiByCB0jFQJL75qxEPP+vzZV49M/8j39X8i8KIPr0fR1wH4A/d/Fmvj94Wj083zS4If+0+zXL0v5lU3jrhyT8SOWcMle8YoK0kiWVkSq0DPpEgK7BKLZ2xd/WS2FLEXrJ1LEZXgBQlRYjl6SvDkUcUXHmjw1DGfZ47V6Y4DxmEAno9qewRK0FDQ0IZ6yQcOdFankZXNurrwIJUlvq/wfZleALbQ3l7iMoue0/k1P8KakAsrkrEN0FriS4su2WwTBJ6DPMkDdNffGMYeAs2m2RCpRvQjj4EWzumIioIxrUwlAylFKYrNhh0hsEYWTF4ajOQlKh8/MRj7bJ0JuWhLxAsvHjMMh/zjYx2eOu7zhftrPHmsxtGTNaJYQaCwUoFwBkOeDcqTFBtolYo4z3R0oaeLx4m7MRAZNAn79kbsmI25Ym/Iq1805up9Ec8c1dzy0GG+fOfH8Lzn3rB7Q4B/4IOf5S/vXFP3P/KAOH10hhMrgtFI8sRRw20PNJjyEi7aGXPNFSFvvHHMa68Pwbq2qHqTVGdLMII4BX8WSFYYvHzJWwdo0vklnrYgDEJaotAyGDlGP35a8me3BwwixWPP1Dh8KmCp7zNOfNA+KA/VVvhSUFfQUJaawo0zU2nhkXKs7XvCJT3K4PYkfipLAh8Cn9Q1cSlzTxt8L04zohH1WsjCasIX7m3R6QXMTAl06sVnRV/iuZjNlAJCIxmPFfNzijfdNOK2h4ac7DQZetLJFA1ebPGizLNOPXaZOLuQ8qwTmf8NY3WlZCJJJH6iSLQi9tzYhyjynJXqRTT9iFdcE/PSK8e881Ujnj0leXy/xzBUfPQLDY6d90BIBkNNEqqsfBOrM4BPWEbl9G0F4IA1iMQijMWmwK43EzzPIKzhtTeMeeONI66+PGL3zpgpD+bbLtC9fFvES666gPbuF/ObX6bev/RncW3+u78xgAtgZnr6tw8el9edXpx2bTl1gzGGxb5h0RiOrRjufcrw8S/EbJqNscZyw2Uh7339KG1Bgk1ThuuvCWnW0hXHijwHJjb4q9lwns5A8PgTmuWupF6TPLDf4zN31xhFilGkOHfexwhNZD2M8EBrRKDRUuIrQU1aaimwA2UJlHU14Dr1fHXB3H7Wl5mDW6U9miJnb98z+H5WoJXk7O37EUqFfOVRxafua6F87ey2iv5+bgbPvPAkyRwPxWjk8fabh3z6q10++uUp+nGNZqrDvUyHR1lSxubdQkLIHGDuT8mS1i8B3KSjHbRjck8rYq3RceKArhKUcoP0Z2oxN18ec9PlEVaMefdrBowiN87tb+4OeHC/Tz0QLHUVjz/l0x3IVCUJnlOU5ztPuNbA66+PmJ9OXNNDYnjv60dcf2mENbBpxjI7Y9CuKAOTSMKRUwcg2TFtsXJ4nfJmf9ta8SPfEIN3Oz1a7Wb7P/32X18utFLUGukSkqTjqRJIpyCNjeFCx3BhzQ2NefZkg898xV2JNrFMzRhecl1Iq+7qgDdMT5Yvq9R1WOsrHnrSp9tRSC3dTBSrHTMJjZsLrEFqpJR4UjgwS0sgDb50QPAV+KqY0edALoqGB+0aAbLG4zK4HcOnZbVexuBJ6R4T6AhrQ84s+YTjGsGUxE/T3iqtyqtkMQUFeZWs07w73SjCyGOmpdg1H+KLEcM4YBgL6toNwcxqSLKElpLl8laZ/y33NzJXyxTZU2PS5pNCGsVxkuYNVDqXPSaKE1TkcglaJUgZs3PepCuG4cqLRoR2iNSGTkfw0JOatYFE5YqlGlRXznRajNWsGV56XcTUjMHGbmWvK3fsnMxVmMgjtJn0LdwhY5QbRWEC5Qt7+dze97WHg3d0641qfco6gB86uYDnrfzKo08fe82gN8DXisgqrNHp2ckCgInAAENsLZ1sCVKG7prl3Feapa+4EcDL+i09OUJgsi0XSGtOhSqCHClTKysDdZp2lqQbt2a+celRp530inTrPXJwu7YuhZ+C29fkJaaOwVMW1wY/zY56XkQQRJxaMvzxbU3QPp4URYCZyxOxjsHL/nCWIHNgc4N1wsjje9805K/vHPLMhRb9xKMRu01pXRWgLTpxVJYTKAd7WeliJoVkqcAru5u8FkZrhZe4eSleCnQli6SZqxtPnwuTDg5K0MIibMJ8w/BtLzcgklRmAiLbP2ODc57XGAkwiiTSZPNY4kgSkQHZPYLITQybD1V1F+d4PCKRh14T94//Cjb+sa/L4P/xQ59DSenf/fQ5xsYZ/9JCLNI/gkzrDUrrbAZ2KIHfgrIkXgncG+I7Y7cM4NXgxe2+5gIpJcATLq0cCFct6En3WkvSmoq0ezwrJNKU5qCQ7sxWdNUXAJe5bAl8m7e0+b4pDc6J8VL29nWElCEnzgsWuzWE1gSSijyR5a9VOt1l6VABXup0hLHHXHvM7q1DDpwfM0w0owSCROAlFi9OdXhM7iwVKXRV6VTIYjsHiqzOWpSkkUEnhkRJlM62L1dpsZrbVkbJ4i6kQaUgF9nfxk3JEtLmrlcG9MwB2wjgRXKviMsyU4JK/kSmQbP7mbOgXQCtdUJdHcB2/8jPMfi1AH7w2TMIIRgPR7mf65OOOsg8y/SP5JYPmfrIgF+mqq8lS0i7ckqF9UIgKVLEbioVeMLiiRS0qQTInufvpWRflIKSN9j6SjiwV8At3aOfAT0LPlNwZ90/2uQSxdNOn/p+REzE575a58JiHW9K4ZdrOMoOChOKtJy6LlVfZkmf0dhNsH3ry/p89YkR3bjGQGvqsSFM0+lKFgVRWcGZ28gr+0tZoClyW9JZh+lMFQuJcn9TG0GsBDqR6S52rpYnToFeJNNMnmCT0pQSb+lzWQZ3avPme8U8x/kvFdqRmxBU3Ldq3VL1PQGEYUhv7cSG/3wF4P/XH36BVrP28o9/6u4bV5a6GF1mHZPXCmTmfQKV1Gv+x/n6G6/kgiRLFghQ2aOwaMitNpWmjN18k0LjqgzY2UDPVJ6UgZ3PQVG4fsSNAJ4FnJnu1pkssanertaS+16E74Wc7xgeOVwH7bsR0NLm6fmcwamyeMZchQ9cLhWVuSceRR43XDJmbnpIZ7XBIFY0FHix+y4qcQOUVFQGOA7k+R+SE5WaIu2bTGv0lSExAs8IEiVJlCFRgjgFebl4LSuHkBnIS6DOSiYEJgU5aUlzlokuknaVYoxK/UqZzUufmecCeIYiSWQkVs/duGnn617eu/Bt97S2fOfGAFdxSDK036ZJrhfJmLrnAWmAkv/BtKYXW2Fvkwc27t8yrFckIrVPymZSdpVnWbECHMV2J5MlnDqrjUhrwLNST9dcnHWqOFmi8u6VAthZ861j71Rza3K9nVmCjrELcHt5dWKEIOKzdwd89akWMtD4Urj523kFYXk+S7mOujipee1OqQIzMYrEKIYjj5uuHvK2V/T40GdbhElAP5HUEss4Jl25ylV/JpVzZuKCei4mB6Nl2gspcnAnSqKUcYwuZTpawpRKkcs1QLYAeSXbnDF5tkiXZKpYT+blkXtFDUsmUybLOqpgBzBJhPLF9aNh+G3G2Hs2ZPDjJ04zM9V600c/8YV/OFxdoB1IEOXaXls6MUUKlpS9MziXFYmlcr2mX7bE4Cm4MwDIEigkRc1DebRBxtxuC5LsNSmDk7dhVVg87YbxVBXcbpzCBHOnPZt+2t7m6azhIC7dI0Ii/uLLbRIboPLsZTnALPoaM2ejosGZaNcz0k2HSrJgUyPweO9rB/zJ58asmYhhUmOYCLyYnMWltMhY5EVnzi6cXD8lhTUpSiAXJDod3aBSkGvXpaUTmY7ZcxWMLntcnTep0gm15TqhrFYlb0rJgV5IlfUAr67tFZBnPy+Vd0wyuTGKwWKPSMf/cNe+N9+xunz2tpm57VWAD8cReji+pNMd7Ov1e9R8P99yrzoirWgMzorby0vN11Hc7ktnTF6SJznQJ8ozcy0+oTkz0JdneyglCi2eVtxVht2kwNZKFE5Kbge6jnvXmGxT5i4CTF1i78ALeeSw5NDZGlZ5KCnxpUFP1mmUBPiki5Ld804nI0p+tQN5FHvs2x5x1cV97nu2TqR8hrGgJsFLLDoWqXxLu3DiVIcjnVyo/MkSIErjOYpWscxdcfUu2QxJlUq/AtxZLZBNywQyJidfPUQJ3IhsYtbG7L3RzWbNqxSBZ8b05W6v8nDQ4WhAM+rvs2Z0CTa8bR2Dnzq7Sqs5YmFlSJwI6tq5J2XGzgPJUpWYnfxgX+Nj58xdZvJJoJfArfKa78J2KySLcN3zogC3CzJF3i2uc3DLCsDLw39ctz05sPNsZc7cCb52iR3XFRRhifjLLzdYXq4jAu189/JFOFmDUpBTxSLMmm/Lddy5N20UUaSZn5W853U9HjncZpzUGCifeuK0eFbOqiQpuLO1wqSeeDkaKmWTs7+ZznusjGswpG2I2Ypk8+cy31Y91eAy2+8okyayaI6YZPCJppUi3be+0G5SBZRrlsqfH1IVYQWejvBVFxMtYOKiuDAH+Af/8K+RSrK0vEbdTxtbyyCugLwAOJWP+LX5O/P/C3ky8VgGdJnFK+PFCsaWZQZXosTimVyRKF0FuK/TAUBetnVgmuHUFi9PxZv0eVK5a+U6d545AR+/vcVY+iip0uxl9UKczGCuW5ZLx7Cqw1MtnijiRBMkmve8ccQf3jLgiaN1IuUxkBI/Mal7JJCJLR0n69rLRHk9Nenfqu5bVGbyxIDOLUQ32lqlJQEqscWwznwui8gv6HhCj7vzWS6Wo8TkGci/3lpfZu4U+GX8VWxFwPosXzhEd23Bpf3LAD9w+AyX79ve+Omf/+29K8tLeNodqHJ6Zl2v5Dr23gDM5ddi8vl67f3cEkXkwJkchyxLjJ0FmdnUJq2zTV5T7a0mwJ2l772sMdm4mSF5i1jW0xmn9wjlhRw6o+mFPiidyhM7UR47eeFWD0h1oNGEF5524xSJH03TE1y+Y8QTh0ISEzA0PrXE1WzrVIMr4TZydYmlPPwiCzILJi8qPbMOd50PNnXvZQNTtSHtILJIU0wIyKZrJVl3f24AFMFlHnhOnO8MLesaJiouUxVYVZelBP7Sz4wRRMYy29y094Uv//HGePD+QdC4yAH8xKlzLK+svXHzlvmfGj70JL6W61jGvbbrGby0yjxXQJm/J6o/E7h8ThkIBbCLPkZVYkVVGaqZgZyiRlqVQK2quxh7itQLd+B2AC6GAnlleVJmb5X2dfohKz3D//1XLZaHNUTgOXkibWVVKQbnfG3NWZkmkM2JyRncOSpxrGk3ND/+HT2+9Eib5bFPKDVDKfHTHspi5EPK4OV6emHyMlqLScFtsEiqzopIGdzmQXoGdiVFyuBOEiW5i0IuUwodXrQTFjIlCzwLq7BybCZWuY0BPoHFCXY31kIyptma+6nu8tP3RNHwryFl8MefeIZazef4sZNgYnTgV4q+8j+6gTz5mreJE1wd7DjB2hRpbTcnb1KiVAfT5MCWAqmK8WOqBGotJTqVJDoHeKa5TR5Uetrk4PZ0Vn9RZW9PRfh+yJ9/2ePpI3WQHlJKgqw0tmRt5nvEp1/yOasJKdg836miJFNiI9NNnjyu2TfgHa/o8oe31DA6YCh9AinypI+SgqgU0E0yuSgzeXl5L9XEGAXKulXBWOHAnU0JS4epFmMlilk0xWRa18cpZFWe5M5KBQPF62/kth5/ovK+RZLEIYsLp0mMTxyPyQE+0/ap1XzaTU2QTh/NPO9JMNv0s9mN4oNJYJfcEvd2Vphv1w2UqXjGeWApCjbPGfLrAVwWAFelGmqd1qV45FLEU4Vb4pWGAxWa27G3p93UqtWO4W++0mKpE0AtdU9EKRh7DomCEFUmLwfpk7Zd3tPqquecm6KZaSu+/TUDPv3VEcv9gFBpholM7UmRujeiaMaWk4kVk9Z1uLdMzuZFb6TOnBWVPk/HXpt0HHZ23MsgF+nOebmUTOWJW53LelxMyBVRBbiwCPvcaLfCFWlVe3ez5+59t8tFwCiqkyTuu+qVxf3MzM/sufuuB3/irrvPoJRGySJ6nbhwvn7mPfsw2XMmTnYJ6NW72FiiZImTCrCrs7/LHS5uuDtVcGc7G2TMrUrMvY7Bs3ETxcgJrVzm8thxwbMnahgChNR5c25RPViOH0TJ1Si+fLkWpWByUZInIncy8nazRIPVXLE7ZN+2EcsH6tjEdyyeOJmiSy5OwZ7lQq+sXkgWdq5N2dwWPrmRxdzIcmyjjLtoTLpzR57QkgUZ5eA2Ip2lkmlyMSFVxAQebP5iI5kiSs/sBpjMViSlFOcunCMJLv2J3Re/4rFHnzx4XJ+6AN1RvPXked508OgKjXqtEu2Wi7cr4Lbr/nr1A03o7cnHfFYIVZBX5YkoOROiFGwWgHYMTjoKuOyDl+/pltaqDO4SyNP96r20NDRjb5W+1jpCqYjP3dfi0FId/EKeeCXrsnLBsn5cxDpWytmzHHCWxnCUtHgYai6eD3nrTQMefKYBxiNOnBb3kjS7m1SlUsGc5WApBbm1JYlSkisyfS7TVUVmd5FuS2PzccuJchseuPNic2IqEj7l5ylLl9rb8raXMri/jus0+aL8vpKKmlxg56b4TZunx1vDWnJcRxFEkWt+1dLNs96otPMbvpU+YMZcz2kPZgeBqtYuZIrIy0AngZ2zuRKlJtwSuNP5hMW2HawHti4GBOUj3rRJQR47eaIi6o2Q+w4q/vorTYYjHxoaLQWeqEqTyc9f/s4bApwJ/T1hGZZ98SjWTLU073z1iFu+OuCBgz626TFMAnxBfqGp/O8XOri0luYgL+csXPCZXmDKsXkinR43JdbOgnqTBpdubHamv0Up0K3GUIXuLuIC957IgV4G93Pw5oY4zEhX4D4jxrX9KSlRQqK1SJA2pqYN7brzjcv/4UZ/4DkIvorzMluvA/ikRKlONC2CS5GDJp+Xp0q7NyiR1qYU4C5AnpXNWrQuRijrdBMmrapA93K2dnelXIDp+yFRmHDLvQ2eOdkAz0NIlYIqnRtSCi6FrJ7USdcoJ428xiLNFpcymSafFiZzTzxJNGGoufKimDe/rM/jx+uMY59EegyNwk+Y+CyZF84Eg7tHO/FZUNnFZjBKoLJ6DymwyiX9Mj2er6gSpCnNMjTFqiEnAT4ZlzAB/P+BTOeGuLQCEhiNNd0+DAYxo1GC/vytt+BpxdJyhyDQCOkqzgqd9g3+lQ0cExCVE7tOc7MRqDPGLgeYxQ4EhTQpWYU5Y2cALyan5hIlZW7H2DZnap0/Fs+9NLjUKiLwQ546Ibjtqw0GQx+aHlJklYOU7MENspil71mmhqwWxaErrSwsuynlhE+pACuMPFqtkDffPObTd454/GgA2mdkJH6qxZVxTVdlaSAScnlAMuHtqsLJ0YpCukjH5tmqkgX5xjqwS1Mk2oQpuynpOTcFs0/mONYBfAL0kyT5NcGdfo1CZnk8/dQjHHz2ANYa9KEjF0AITBLjpextxAbp0o0xXX09ucRUvoyoXMEbsrgsgb2suXOQO71dzmYqlVYYphWFrp0rfa7L88EnwJ3evWwKbVrgr1Xs7jrC8yJim/DZe+rc9VQdahqka2j2SiW8ldLY8r384jlOTnUeuig1lTtHJTGyAvTxyONV1wx468sHPH2iRhx7WKEYCo2XkH8mkRQsXnyEjZm8PMReqYy5HZu71wJpRK7Dc78/Y/RstU0ZPB/aOQHuSsBZAXnhqmwE7OfC+aT5kZUd+LaHskOstegt8z5KSoZDWF5zzCFsZRH7hm6i9H+TjF08dy9kGeCltq7yzgIVYFekSjlNX7qrCXCr0l0Xm6BmgPZKoM6cE+eYuEelInwv4rHjko9/uQX4ID2EUHkXkUo3UpUT7JR9n+zUiPyYlCP2qqNSHi+d3xPXuuem0Ko8fW+t5r2vHfKFe0c8dMRNEoiMYpCItOArBV2SAadUB1KBh1s9UNWao+ynKgW9kel+PllQnGnvtNtLCveYn0NTGtgpSxd/JQFWSJLieH3tQPO5vJUyWUQxDDsaKzwEFp0Yi8V1eAhSwNmvVzi1/sNkTwvmFqUrNH2P0pTVCd1dSBWRJgsK6ykDeD4nrwzytDWt2GzK7exQDMAvwF1h7dJj1libSRWlYjwvJkpi7nigzpOH6+B5IF1w6QtbmhxbDqzEusBqUp5kp8mWnuQNEKUakUp1YSIxKnVUEs049Lh634hXvcSx+DBxLD4WPiMDOhFF4JdkdmF6gpPSRVYunKNqXSoJVlmkFSiLy35agbACK0BaUUiVUlBZsHd6Xk35wi/Ndd8gD+KO0oQWFxsfww2hn9qF6YwisKDXuglCCKIoIU7cEiWkKP9nz8nUxXui8kHKZn7+s9IXy+2rCcekukfMRP2JIN97J9+9OGu+rTQ8FFuXKDUB7tJQ/Nw9UQlKlwCeShRfRxw6J/jILS3GkQcNL5Un5K1pqrxLcNk5qUTVz3FebBXoZZlS3hzA2I20uKYZSL7vzQM+e1eTg2fcxZcYxSBRrsowSZM/CKe/E1G4FaWVxGZALwFc2kKLy1SjS2Ox0p0jK4UDuCnFShmTm3IstcHKVgJ02aMvk+BzA3xjli3jTitLs+H2NjLWoj7wy7+2xaL+r0NHTlzhlnhZuiJlzqj5XVZf57UhYlJSTOxVOfmz7H2ZjQNOH9PxwDlwJ+7ZyISyx50/6kJ3OwelCu7yXj1FMVW6+4OO8mYGT4ckMuQPP9PgT26bhiAAVUMpTUNZ6sqm4yjIG5y9UmtckUktJ6IkxWRYKgFqEUsUtmN20QpJ2vhb9EIqaRHWsGtryJklycNP+sTCTR4wQiGEK6XdKO5Zx4glmy1/XV7BU7CX6S53fmBCw1c7uza8l/+bkpuUTyGm+pg315jiv6eSPyjeEzhsNGsJV171gq3XvODmL+qF86enTTx4i6difM9zUfGEzKhcMBsFAPnyUtJSZQuo9LxIAJTdk4kalDJrV+rAbUV7yxwMhSRRJe2t8p0eShtRKTshSbJKwYy9Izwd8exZyce+1Ejnrzj2zjv3s78vqIwXlqXvXQ40RflFqcanAg5Trg0p5gratIM8Saf3mkSRqFSLJ5rvet2AT93RYP9pD2SIFZJR4qFJ60WyY52k8EyyxE8G1ZJ0SlPhFlsplZYpkKQFaZ1syXS3tO5vWJP64yYNUCurc5XNN5QmpffKOFt/UW7M4EJYjAAbS5ZWI84tDN8yCM9Oa18l1H1Lu6GQSq7LQlbBLSZeTz6fBHj24crR9IQsKetYWX1eBrjrIsn0d+l5BuSs2i3T4CVwu4msJn10dqBSBpX53SpGyRiVypNExXzmnib7DxXaWwrpvO+8g4YNT6Bg8nXOjQWQKs+rDcgVT7w0kUob4WpTZJHCDyPNlZeMefvL+xz5WECYKBCaRGiGQqCT1L7LyIfMURGU+TgPgVMqtFagbFFwZKX7jKrMmsIWKX4BRjrgm0ymlHzwMtjLQF4H9jJZrpO860Fdfcv9jRgYh4KllYTQRGiRBnCeliglKwVWlX+kbONMfJCNrrSqHTT5BdcnAjZubqiydvY6Y+0M7Blz50BXZSYvdLfKgshsixNp0LIYmq9UgudFHD2n+G+fbDOSHtkEraJrPl1ByjXQZT1ZsQOe+1YZKZN64VkLW5GyL2twUalPSYwmTjyCJObH3tXnr+5ocOSsBhWB0UTCYygEKikcDVkONidAnnnzFtC2yINYBNK69LzFpqydeeKmwuY2/TtGCoQtVo/1ZkIK/BJYy2BnA3CvUw6Tx7fkAEWJGx4lpUSPRglh5KrCtJY5m0z2Wz6nT1lmKVG+EquJnPx5WuW2EQOWgS0mWDtLpFTBbQqJIqsMriv+dgrmit9dukvH4p4O6YaGD326zZmFAJROrUGZyhNb8b3z5+XvXmGpaqJrQ6BT1qRZ40G5RzNL4ctiolOW3ZSKJNbs2DTm/e/o8Usf8elELiCwVjI2ytmGSfY5LCSCQmEXIC/+3/1EZRiw5MytssxmFoBKWzC4LZ271DK0OYM/R8BZAq/JcFXG0ATW1uVZSsew3HFmjZscXA9Az04rMJJWwy1kSZJtyFq+wnOOLoG6oHJR/nD5c1FdikhBOwGGSebOgF2wdjGlNWfvtOC+AHSJybVJGd3k0sTJEVOSKhljx/mjVhE6iPjEZwM++JdtxsZz8kSoXJ7kTcUTllhFd+eSbIIFnoPFC/YpZTRz0Gcpe5tu8lUqpU1dldhoajrmR97d59kTPh/+jNPioEiEZGRcwCkTcgYvCrCyk1Xq3irZlQ7UhWSxNmVzURSKOdJxpa62kvhxMiavS0/xYMokV8GMqOKHEtA3WBTLh7c6zNQyHBlWOm6Opt4ya1DW0qrDMHQHWVhRgfY6gE+APP+ApQ+13gpaX5uwvjDHTkgUWwoy0y26y1sGqrLrYEpSJQNzicllUR2Y6+780c0aXFmFv/pSg9VxBm4HcE867a1FVZ5UVp3MLtvohJRPRumE5Ccn/UGlqm9y60UzUScusz2SNHGimfIT3vX6AZ+6p8FyT4GMwCginB6frC6ciKaek8ldHqhICmX1KVmwaVMWzwGd+uTGMsHY7nwiXCJRkEoZKC64DbBUkSuT2CszOMUObYNhwvJajJExujeE3hDGYaq7K5kvUT1ZZb09caXlAC6DXq4H+7qArNz2JAqdXQDHVrR3YaWtDyqz4TQFuJNKgJkFmdk+N7rE3l4j5rNfqfHAk3VMSXu7poZMnlTrTfLWrBJ7lz3/shW+MYmn7JnbXYVEmWyGKI9ISKx0Gw+kvniceGgT89JrQt724gF//DkfVAhCYoVgbDRKCLcFSRZoigLUk3IlswatdXZtxuxKFjLKylKhmHSrfoW5rbvgbQkDJiOxjK2z5GLJ0nxO5hbrcVdBfWlB8n1Fo65o1DT62FlYXbEsryU0Gzr3qNeDeuJq2uD9SZkyCez8IpC2kCoTjC3EBHuLKrALFyV9rSw6HTEmZeqYSJvq6pIkyRwTWZIo0rkngRdx5KTkI59tcb7nu/2upRv0rgTFjg0T8cI63V32nTdg78lbJdFDeamd2Gox24Kx0nXv9s9xj277ky3NhO9/W597ngw4ckGCiACFQTISsrSJlANVBurcxixfcGU+z7OZ6Xkos7lIV31BXkNejqXcz7LZ7yLV2+nzrDdTFM8pPy+zOZCPnihJ4zI+hXC5h7kpyUVbJfPzoHuDmP4wZhQa6vUJjbwBkL8WuMtXYBnQCEpLZFV3Z0tXfuDz+uoSc6sM8BMgz2dkTz5Pcu2dsbjOxgGrGCUTdGoL+n7EODH8zp+3ueuRuuttk9ppbyld144o5q/knzVbWSaP1wSTl3G+YWBUBjdVLV4tny2X0bp2s2xOdpIYYqlRseZVLwz54fd2+fnf8RnH0mWgjCROXRVpROmzOZBXRjhY15JG6fO516IUG6Td9RastGmAKfILIA8684veVupVRMreTOBMTGBmkkyf213J5KG7mGoBtBuWdsOi56c10mgW6yqv5yiDr7JkrLtiSj8vf9AKm9t1xe8FC5YH+2zA3qX95+VG8kTavNvbbZttShKlNPY3093pjOs8uJQxnh/z5Yc8PnVXg3HoQV3n2jtn7zywpXLfyNuvHB+ygHNj+i4XNhVTVcvgBquyKsNqrXhisq3USwPhY029EfOuVw25/a4hX3hIOdsQV5wRCc0wW0XJWLAoyALHwnkpb2mVcRZhBur0c0pQ6ffLXttUmmRAz86vFQKTbz+YBp5Z3+gEfmzpPfLPxwaMneEv/R0hSBJLfwiLa5JEKvSWOYlGcb4lXaCUgVQ+19XytZm7+MN2A0CvZ3FR1ttlb1mWHItM/+b7qbvXufbOJ6EWwNZqAuiqALdOwe17EWt9y2fvaXDwXM1JE+FKYkWmvQWlCVJ2Hbjz75Z/f1EC+tfQJxm4rWPNzJKbTGHn4F43HKioUZFSIU2CNJporLlsa8TbXtHngf0+nTBNvxqnx0MU2T4QktQbr5TRFkxmccmd/IKUzm1RaUtbweaZVEkTPiKtIc+BLvLzbigdP1sw/CTQqwFndY5K+b0co9JJn8QIwtCwuJIQk6AHIxiF7gtqNQHY51giNgoGykM0N/aE3YHIlqCsSKnC3iILKgtgF+DOfPAiuJT5YHZbYexKQJklcsouinSd8oaEP/pcnQ9+soUV2vneFfam0N5yg89d+o5V+SbWrXgbsXelko9J/Z0x+fpWtmzTXWMMJpEY6XxxJQ1R4iGV4UfeOeDwWY8PfkoTxQXIDYKxkCiTDZLItEIJ5DmoU12BWwRy+Is0pZ+xOWlmU7h/06ars82BnmV+0xyqKGlvUQS9RWxQlh7rtw7fKPkjUtvGDayyBIGkUZPoMLLEsfuHPb1xcFR+b5KhJ5m7Cuxqlq/C4OWgsvRe5nFnzF7MxEu97wnHRGbgVhPyZGLPepXuPeM0eITnRxw+L/nUHU36fQ/qaj175zXfpdVFFAmeiiSbeJ7pwq/H4bbQACU5kGnx6oBJmzYd5ECXpc14pdPiUmqiKKHVjHnnqwfccnedw+fSpIIbUE0iBEO31rjPaFJw2wLsNgd16paQJn/yBSdzUrLUvWNvlYK1kCdVoGfAlhOrfH7sctelytwiBZpIL7DJ4+qkTSpVTObPg263Amzs0aqD57lxvjb9FlUv3DK5fGwUJIiNPnQG4jwxUmZAW5EnIp99V7gnObgz5hblweyZc2Iq223IkiyRMnVMUibXOmYcGW6/v8mXHq274eDScwCfYO+syEsJQSUYphxETTB5aRX8Rm45m+ep++JuTJo9zJyUdCsSp7tNIVOMJBESlUiMUERjzeuvD3n9S4ec+rzH2KRF0q4SihjNSIA0pW2rhMgN7Cz1o3J4FSUcSqYgz1L8QhRkb905tSINPCtALzKqJk/2FLNyhMCV9Yrs85TjOZf+zxebDQ6ixZUPJElCYiQID7171861JX9wS9gT/6A3MESRJDFpbiv7h55Le1dAbteBulwnXdXfGZgpLV8Z6EuMnQM7A3pRNlp1Tqr6W+Xp96T0PEZK16kj/Zg7H/L55T+YIrG6cE6kQgjp9gESRVq+yuBlx2dj9t7Qp30uZGcMyKRMsRW5YsimXqXFWKJwVHJNLp03Lowmjl1N9E//QJeDpzV3Pigxvkgh675AZBRDyoLKlmTJBpo898LT1Tb7vGlAmelwkV4AhmKUhC3jAQqffF0TRKnrvpTwqTRCTMjADKvGWMaRJYwlyMYtW7fvWFPv/bZ2XyRnjyjJD/f7pHsQVll5XflqKRDcsPIvC8bU+oKpcpFUkXrP7MAiFa8mqwNLAWVeUPUc4C5LFV1J6Lhey9Mrgl/+yBT3PNp0m/JIPy2J9dBSUJcQSNJNruz62u3KPW2AzofkVIcRZTXvUk00TJeOW/FalC56u/64ZmRQmgMoJqVe+WcW5udiAm154AmftWGptiANM7Mp4kXFYSEFxHoh8A2sR6Vi3JL0SjVApb4p+93qeG6oDJyq/Kw8H7z6syxBFsWWUeKz/9jS999139MH9bEzAUJAHBvGUexCjkqgWbpySuy0TpKk37/M1AV7l0Z5laWJKLso5W0xqtJEbqC5sx0GNryrcmCZlsKmzxM/4SOfnuKvv9LE1hQI5dApNELKSr9l0d/4NTrmy+wzmUMu4aL8dp7gqRJ5IVOgEmhW5xemQWY6P9CmzG2tKWpUhEQaRSI0cpjwrtcMeeaox6/8niYM4gLgQmCNx5i0uyrLryfOxM5GouWGoXAgVZJsW4/MAHLBZsbIODZ39mCxIGTn32FMVFf4JMNPyuK29DFLBZCTK+Tkc98TtNsaz9cYY9CrPR+BwJgYaxKXxJMUmojqP1oZoliRKZPjkMsgtxMSpeycWCZH8FbAnvndIgV4SXtXGFwmJSelDO4EWao9+cKDAX/w+SajJJ2CLzJrMM1aClvR3hum5stALx+LycCzAvaN2S/bzSDzntdlNLHrSmitLGU2ZclZEcoVZsm0OEsaEqMJPMMPvLXPvY/7fOFRZxdm3jhSYKxmbNJWxQzkk9ZhitRcSgmBIpMmJZBnTQ8lzZ39TgZaIUFaWyGJjFhtSaIgRPVYljR4Ll/KySPhNvCdbkAtsBgDenE1TmdiGFo1QdnyyxuES/qaygks0rySKsgrGjxLzW/knGQAL9uDZXCLYmcvtU6Hm6oHPsneMikCTB0xGMMv/v4UR88EWF3sllzR3plEqgB7AtBsAOYcwqKK568hyCc3EKhmNMvFV2U9vr42xci04lCWWVwhEoMQGhkaLt4R8e9+sMO9PxnQG6Vfxsj8cyVoRlmGJSvuNgXIrQRMCmpL7rCoNKC0krQrKQVzWpNSJHlKOYPsd8qkl9JzNVFo8+I1MfHzila32cgRkFLSbkraLecq6Yt2bEJIRRz2iMdLZFNbKyy8AYPn00vLMmVCtpSbAcozowuJUhq9u6FEMSUfvNSXmLJ5ztwV16S0O2/qeWsdESfwW59o8eiBmvO8ZcbchXPiiaosUaLK2qIM9gnmTiMnykM3N+LrdUw+4ZwUDRAUxUzWFTOtqzYUjsHzoNNIB/JEYkR6T1KpYgw3XBHx49/Z4b/8+TRhkrI45FFhgmJsMi2e5tpLIM8liihlOYXboNeW2VyCMAVzy3TKrLWFbJk8pjaXJSJPAlFiduFGPbBx1ap1U6EBExqsbOLVpiCK0W9/2xuo1ZqcPP4UD957K1bUKin050riVKNd93XLhTzrRwVMOihVQBeAtxMypbo/Y8HeSaHLy0mdyj0NLGsJX7w/4MOfaNEZes4DTD1v0iZd55wUWctyKa+qfO71+jvXhpWwTOSvxSSgJ1h7Hd4rQLeUE0AFa2dbW9tcjxdSxdmIiVRIa1y9Sqxo1ww/9O4BDz8dcPt9ChpxytTpJ5SC2EhGZDFFAXKLK40lty2d553Gqq6sN5MwJpMbhXzJVm8LSFu1VvNpxBKELWNN5Gop//2KTHHSqdD6lt4g5JLLXsCLXngd3V4PPQw9UB6dvqYzEMy0N9DQ5SulzFylAFRmS8oG+ruazCnp7WxoelmWlCRJIVOKHXYdwJOq3y2dFSjzfdVdYClljNQxB45r/tvH2xxe9l0bfOp3u0dZsHep4bkC8o3kSUWaTExrWq9GqiplnbtQZvEisZI3QrBRGn9iSFBWiGVNvqmsyKSKsAipkZFl32zMj72nx/HzmkNnBFaXBZYA6ZGkIGcC5BmyVC69Ur8bUhYXeaCZkWPO4hPSxcGlPCcHRDIZ39gC3FbkWMuPdea5p8xuBbQakrkZn9mpAC0jdL5npJZuQ6M8qKuydMFSExnMEmNX608mmFuWgV7Ikwpzp1JFpTKkYPKS7lYmfT2ZzCmArlSClDF+EHO+I/jF32vzqS83sJ4q0vGpNNmIvVXpAlzvnFSD68mkTvlYFTq8CvgKa0+APXtvfU1KWYdngC4HoFnnj0yLmrLnafCZGGIMnnSuSmcs+alfV1xYExCU6VZg0TmTF/IkvdCyx5S1lQRrUvmSuykiDTKrTC6kc0tsSQLbsixJmdmWjnFZIZSZPT/W6UeUInV+EkscW2JjSRKLrPmSRj0436yL27ZtncJTMX7WjV6e11H2Zie96oxpJ17n76li41BZ/rkwlX+n4pCowhrM606yisEJz1tmwaSK0+eu1iTE8Jmv1vnig4201iSzBGXK4Bl7F7sGl+cNltlkozLioipvQouXCVtshOr1cmX97JB0d19TBnnB3FmnT6bHE5MlfkqpfSsxVqXvuedxrBFW8sYXj3j7ywb4IoY4BpPdI7Ax1lpiCyMDYyMIDURGEFuI8yH9EKd7bMbGuYvFVoTpbhVpUJykWdn80UCSZDtb2PRe3rez+PfK77uf2eo9sUQxjMYx9cY0YWxvU9o7n1iB+tVf+w2+77teuhZ4ds1T4+8ZD86jlCzcD1FcbWUp4Sa9Zqy7PhmRg1oU75UH22x0QVTKYCtWoC3APcHc5Y54nYJb65hEGj59V53/3+9Ocex8kDYxFAkdpJukG0ioSTfIXqdj4LLZ4kUypxgN5+zDYjB/PuU2jeDzbVVEdUi/m9QlJxJiVI9dSSIVdupE9nRiZXEBnMgDufWlyba6AgvAWGbbCVdeEnNqQXHopHYJnzIlpv9R5oAU4y8mf2fySp68yLN1f92iVfX/yz+z1X9ko/a+7DHbKS4x0BtE7N6zl2Zr5l8+/tTh+7/9La9ye/R0+mvu5ItVpltD+mOfOM72QzHVg5OzlakmekRxgCu+N9nFsXG2rZAnE3ugZzJFFa6JLEmRDNyyFFBmlqDnJRxbknz4k00OHgmgpXJJ4hI7Tntn0iTvs2TSo2fjjvlSsJmfclENKKseeLHMZr+xUbLHsbaZSPgULorMM3fV9L0UYIzbdTjzxkXG7Gk9gRDGTb2yzhuPxpYr9kX8wLt6PPikz/HF0lKVB51OhsQIRsIFl6Qj3PIR26kcyXR5XqNSVT0uXS/TgihbXIS5jIGqp53+Xp78KdnzUrBuRYwTWBlYRsmIIOgSmxBIN6EaiKuQqk5vFDPsnkFn5QqV+pJqLUAZvOXspJgEtigDvLzlXBFsitL20BmwRR5cZnrcUBROlWRJ/l7K3iphpSf4jT9pc8ejtaJKMMtYpuBWknSH4vIY5ELnqRKYN7IFNwL+pAX+jd7K3fWVqsJKKjpNaxsHKJPOBrSiBP5SplMKixEWYdxxNkK510K5y0gYkoHhNdeP+aff2+U//v40q8MM2CnijEhBromlyB2UDOQYB2QywKdkkX3GfM+rrMQlvSBEehGUO3zsxDHOHTxbTv6k5CDWE4kQsHXe53Wv2MFbX3sJnd6YHyM1QnVtJ3uvveH25aXol7vDOcKo+J4b1mdnDQdl/byuQMpWA8NSul1tkLhRytl9hVsy0ZWzrjowex5XEjojafmdTzb5vU+06EWeK6TKmDt1TdzsvsI5qRRVZQc5+/4TblLO1BuCuTrn+htB+uTymwM5+1nZbSnZheWtTyoj3yYGBhkr8/a2bICnscUenC0NP/zuHj/yrh51E4NJwGaPkdPlNsYap8nHqSaP0ntsBZHBzTK3qRbPXpe1eUmfm1yjp5rclnR2SYNXtHem1a0tHm1x/LS07NpUZ3Wx/8ut9ktv37F9a7YIwatu3MMzt/zSYEt75djslFxfDyJLeroUPBbDeNYDX6bBYRFgrve3ZaW1rGDssgUoM0CrJJUxWSKnytxSxuAZnjni8We3N+hG6WRMMmBnvrcbT+eJclBpK91EqgTo58pe5uwh1r9P6b/5RpBetKtNWIZZoJkPpyxfBKWm5BzUsvo6HzWRvaewaXubsQprFHGkaGnLd7+xz5WXjpFJnIO6CvakALnFBZ0puOMU2HnAuS7YnAR3CeRZwDoB9Bzg5d+3k6B3QHdZX8swVDzxzOqxf/qvfnEgxBUFwAGuu/Ft3HDTu9i6/VIEsavGE1VQS7lxUFiuFykaEErsPJGoyZlcrAdzFdiGsnsiy1nKiVS89hKePurx4780w5OHAqwnC1mSM7gs2YI2H+QzuVPDRtbgRjKlktgpBWKFlvsG5cpkkFUG+Tq7sNiCu7KJa6lvMx8YZGXuj9vSZCxjVDr+TZFYjQkV110S8ds/tcbV+8YQJQXI83uUgj11V1KHJTQO5JERRJYU3GXAV9k6A3LZIZkEelJi82QS8BMgTwzEiWUcJlxz1aX84Pd9J//wu749P546e1JvzqK9Oo2GT7MWoZQ7eBlTFa1DtggCygFBydee1OJFcsdWnwub6+9qksdUniuZIDLvWxXAlmlCR3uGnpX89082eWx/QKJKrC2KehMo2YIVUJcrGgtWnpw7uG4sRAXslI5VCbxfA+EbbhNTymLmfZqV98vMPlEzbt3cbmNS10a4ybQm0+NYjJDp+ZJOjxtLgkELyw1Xjvnf3tnnp/+LRy8W4EFeRJI1UyLAKBIhCLM2NiNcJid9tLhm5Cyhb9O5bFkSyJYIJC1rSbV2advB9PhM1vpkgWd+DtJjMhxb/KDOti3zdPuD9QD3PYX2gsOzM+LIcFrt6/UTBGqDgqssm7m+tkRMgF/m71UTOZVkT/ZeyujZc6fjkxLgk7QeJUGKBCVilEjQXsLAwIc/1eTjX2wyzsA8wdwIZ9HlBVXPwd7VTNrXSfDkAC6IYD2yv548mWTvEjCo6nAD+SjjqjdeAN6BWyJTwAsrEGmNirDSpcKtdc9NGnRa5yX7wvKe1w/Yf0Lz4U+26Ee4A2ZSFGaPKYQTI4tAMk3VuxoZB2QlslqVAtSTSaBybYoDerULqOysFFlNd1izeCmKDbrWAK9+JAiCw4NRlB/TXKK0pnfy6KNfuu3c6vRHF7o7GQzLQaZZJ1MqEqXMwHn9tsmlSiUQrdSblOtIqvq7Au5SYZUUGXsnKB3TC+H3/rrJf/q9NgvLXl7bXa41cXdRYm+7Llu5bmZLufyXCbCXX0+wduVn4muDO0N1udAqf6/yMt3hdyLArKTss8QPVclSdlaqulxVtip0I+AUW+cMP/uDHf7JO3u0gthlY2xS0uOpVLEJWIMxTo+X5YqTJ0WAGVsXjBYyJd1ga51UKXS3saVkkSnJFlN431mQ6SnDTddu4drLpj56931337Zv7471DA7QG84iVP1zUgXv0IG+XskkbctyjOschPUSZFKWlFPwhXwpWDsvtMq97ypzSzERYGa2oCiVv6oEWbP89ecafOBDbc6veOCrDdi7mrH0RKmLSEzss0MJ0JPMXfK5K+n4Ek+LyTf/B2/ljGYBfpG/sXHq3qXK3VQp4bbRFgWwhS08cSEy1iZ9zOSKY3GMJgot22YSfvaHuix3JR/9bAtq6dKxjsndzSCJcKDzRanoKs3EZgxOyt4mtRPz/X7yIqySXZjt7ZNJl/R4uPLZooQkwVLzfYRQj+3eMvW5te6wckxl+cUb3/Bqtnp/cc+erYsPzbSzfdpNESBOMPlk9Z/KSlqFkxsZgMvsPNkYXAV3CmRVYukNwC1lggoMh09r/vizTc4t+gW4xcRduqysFoVzotPExGSnTjlrW9F9TL5I2XlCf3+DqiQH89f8ecn7ntyuY51HTsbWk65KOfAsAs48dV9i8aTksMShZNt8wvd+24B9u0IIUxa3mcNSDkIdk2epfeewpCn9/C5SJnfPjZ1M7YsNbcMN3RVbjJaOjSBKoB9Knjo6euhffuDz99z0stc+N8ABvPo+/MY+lFfH95KSI5Jp5aoUqTgllfLWkgwpe97CVH9v0uvOfieXKWVwp13xvuHIWc3/+dvTfPnhmmugrHjdZe/bed7ZGAgt12vtjYb5VH4n7wDfQKaQdYWLEpNv5LgUQdWkS5JdFZU5KXbysbAMy0AuZqdUf1YuyrK4pd6azEZMZUkuXaTbJsW6abXGKMxI8LoXjfiFH+9w8Y7QOSu2LFeSon7FJnlAnIF8ZETql09IlpKdOOmurLMNTRXohSTL3BMYR9Bs1Ln+6t284Mpd64hCT76x4+I3I4QOPbHAYO08g3GdKJaVktlCr5oN3rOl1yXnhA0CTGlKLkrK4MK9V4C7kCpSxijPcHxB8+//+xQfv71BKNLdqES5v7IAt8Sxd1HnvcH228KukyRsAE4mgFth9K9H3OUfTtB3BvjMOVhXLJ6V0OaOSrVO3F0sNs0gZpnNohFCGgdyI1zAKfJMqEyzokUUm0mW2FhqOua9bxiQGPi535rixELqrEA6sZ4NJEt6MaXBI2lvp6FwVrKuoLwTX9q8ilCmF7MQRQYzk47lunBwF8raEK7ato0f+O43hVGU8Es/93UAXm/Oo7ypnzytdl213D/xGhu7IiIlTdUNqdyzZX1Cf6cXgJSmosWr9mAKamFTEGflsM4arKThdcKJRY+f/s0pPvGFBqFMt14TG93LGcvS8Pr0IG4oTZgINkvInfS/K6CepO2/xW0S1+W68PVp+4zxbS5hxAR7Z++JkhbP7MMC5Ok42LQj1KTgzhqK4xg8nfDdbx6iFfzMb05zYsEnncNczfElJwAAKv1JREFUvQiNdcI5zRYbBCGOgT0p8CrfJS1Ww0lFm9bTZN83A7RFpLrc5un8rPbcxVCGS3bXeO3NO75y2b6dP7m82l93XNcBXPvTfPLTt3Vh58EzR3e8ctemJTXTitGq1EZWqfW2E7Un5boT9xpRBJVFwGlK/17B3JkOFxWZEiNVwtkVxc/+1hSfuL1BqCbAvc4WdAfNk9UunY3YOwNzuZIPNvBgS4CeDDCzs12MXvgfQ/dkgDnpixdvCgzl2hPXyWLTGFBMgj1n9XQTV5MxedZx5Hxy99+5NLhApQTtaqs1hve8YUicCH7qN6c5t1L6fhMBp7tlk8glMWlSKq1K1GnAqcgsUQdyN422CEIlRdApEak16CpXrXXnsF2HF1/eSG6+ev7gk49+sXvdC9+w7tCu+2iAmwpkBj9+ye7gicBjnUbObcCSl10OHIUoQFvNTtoiaMyDx/XgLlLy2bAeQ+IJPvTpFh+/NQW3LGvu8mMJ3GJ9xnJSd1d1dRFcbjQeoux/b6Sv80ymEP+j+K5mM9cldaq+dzmtn1uCrGfwctdP0SSRafFyZrOa8UysyuvHjVWYRKITy3vfPOCH3tFHJ0lhH5ZS+dW7SYNPihoWC6HNMp/lWvKqhWjKWU1L1W40Rdo/NpK1Qe2JxeXejyu58RHfEODvfucbuHrvINm7d5edmw6pBRGel26/VwZsqZZksm4lu4tKJWAV6NWqwIku+OyuDGjBbffU+dhtDcZSpVRbBnSJvSmkSbGvTgnQlIGedXSntdkToC0nfDJSLmvtMqCzX1hXJvuNgLv0ixWZQsHq61wTMl+ciQsgnX5VBnapOaISfOaPRTFWFnC6dL7Epml9k0gCY3nfmwa84WVDRGIKb7xUlFU4LXEJ7OlQntQzH1tBZJ3TkqX3K+BNgR6XUv7ZPTKCcQKDUNAZKXbu3mcfOTBKrr7+9RseX/1cB373Ja/AJMOPnTePXh4NzzWTNJjJz0dWYJ+V0ZYkSTXILOlwYYogUxYM71ySjP1Lzok2CA1/c1eNn/zNaZ45GqQNwxsAuxxYiixbORlYVhM51XEQlskMZgbisuMyqVsqqfsJUH9dcE+kMdfLk5IHTjmwnPDEsw72SoOyrTyaih4HTOqB43YVFmQBp3TBprAYo5wWFk6+2ASu3Rfxn/+PDv9GwWfvajitkU3ldMLf3fPniqxRwCKIcKrGxbQCTTaSOQ04Id1cNj22acDpuuLcsTC4zdL2bd7Uf8Nrb/pYu1njXz3HMZbP8T611m67svjQb6jmFUuh6RP4YbVlrFw3UrqLDd8vuyFmQ3ALkeTgVsLZk0LDX99Z56f/7ymeOZaCe53XXZUmQqZBJaWdGTL9zSSov4bc2MhVYf19Q7aeYOON0f013p+oUbElcskD0IkLopKyh0oWs7INSum9TKZkHrk1E/Zh9vOszNYoTCi5ak/EL/9Eh29/1cDRqjEbSJTnki2WxEBoy5KlKNSKTZH5jPMWucJqjIygG0kSPeZVL7906c4Hn/qNKy/d+ZyH+jkZHPh/2vvyODuqOt/vOafq7n17X9Ld6c7aIXsgJIQ9KIMrysyAGzq+j58HjiDuPMdxnoI+Rxh94w44ozjq0xlG8KEyjAg6LGIikVVIIHsnpJOQTu99t6o65/1R51SdU1XdSZOEAL7z+dzPvbfqVN3tW7/7/X1/y8GQuxpj46P4r41P4s/PGIJt+auZhT+kloAFRCy4rrrwYFvopIYgJyTk5EzmnMACfv7bLP72W0U8s3MqcNPQkktLawfUJN68R1XhREvApgW7jtmIhJiQPKih/eh5uIj8PIG11vaHeSm+VQ8ihYY1F6GiQpKsuc+ziay811UWCOpbdpmnwqU8o3qO6FkyqAHL5jr4+6vHIATwH1FLnjg49El+hy6paRPAhu83MKI7nfLzar8NIwI5m+O/vdHGey+eg3yhHh+b5lWnBXiVzK5OlJ2/nte55CcTpU35loYKGPMS58YpCjf17uC56YgSXecmHgj1Offdv8vgU98oYvPuVDK4EbHeNJprogoYtJwTmNY7RkkMhzEC5ijYYRY+qCvAfHpkiKuW3DF6ghC4UjML9XDo9EPn6EQLIBEN9D4t8WVCDexKNlTqilSdg89AfVUFFCCCya7Dcm9NYPlcBzdeMwYugP/8XTbUxeOfMrLD71MuOIGnMV8eXEb+bxWTSAGkGUF72kNHQ99kPmf9dXtbW3W673dagC9uH+K0a/am6qIzxob7H8hnUiUA/moCnNPgwxp1mTHLrUrQNIAHtCQEOCMeCOMQjOCXGzO49mtFbNk1XQjeBDclYUBHlwPjed7RAt7Q2YxmDAb9TgKwE8PKKygHgJ+Kt0S2RViItoMEv2asEBcRKqKn0qrtXDuFrOMkCIFuaOSqx6Hk4r4QTSV99vU5opZvkJycwmcjUAmxNRdL5zj40ofGIATBvRsy8BR+gzfPZaoyC98ooQjEdOHXkDoAPITcnEHj3IKgJgCHC6RdFxaj6Fu+fiyVnrNpx+4JPh2G6XQ7c8VmZHLFwf1DlUt/tXmdc9PPPGRSVZ+mJAR6DJ5NQsVESYCMaFxcC+IwabkFI/jNH9L42D8WsaVfgVuuTECizqXiHGGFjp7nba5pGQdwENhB3JKbII9vC7Abmadvn+kQkVuwXdsYC3BCC8vDDOXrpWz6vGClCBFXVkIpUZMRuXkvZCWQULksNYIlvQ6+8tFRrF9TAeNeyMm5rqRMw8tlywilqnjCB7uSNT2pwHhuDe9/Uz9u+fQcp65QvrSxsTjY3t4y7fc6LcAJyeLRp/aA2kv2tbat2zmrtQciyGwjCOKxynJrfQPDAE7UwQx17uDGOIRFcO8jaVzzpXps7U8haDNFpnAqocAOk5ogWp2jRy+TrPdUlCXedi0R0Drwo1dAOOWI4E4K3wcRS0T5ttLDdY08zNMIgR5KhgJa/SZ0GRFG9Y/Qc1aMVSWY4XgGKbcehagR9PU4+OYnRvHatRUwQydXuSu6rBh3PNVNgVz2EgppJQC4AtzrwelLT9u5dtWCfW5pF+py6RcPcACglKHF+q/+c5ZWr7jkgkWYKHG4LoPjWX7COxRF0SpyCE8AdQhoQn3FhBEOlhLgFsGvN6Xxkf9dj617UxCJnDtixakJbkaS+3kfsexMS72MYjTR2YxYchO8wpjn758a3iL2QD7VzLhOQcJXUN86wiVnFNChWW3twog27gxBTg1rrqsoIihYVmBnwfYQ8H5QSFQJ+mY7+OrHRnHB2gqox2WC1jTWPAB8mLAF6dP6RUD+AgQ5JpBjHDnbhctOw28eZVd8+ZaN/YxN69UCOAIHB4DTlnejUp1AOpXf/8ST7kN/fHLzuXPbHDTWA2m7hlSSNEi80OmUFtu/ADzJxeUFkBbYc9jChidSuO7bddjan4JITaNxK6tNw0SqgJoAseqcKWkKVM63SAC8eREEKNaimUFTTZ2uaBeHLHqaIpw/NdgDSy5PJDQ+HkjiEQ7uO6hEmyMiXByBk+mDWoQhfKq4u3IwiQyFK2WFSK5OJffmICxUXQCJREjj4XCc0uvg6x8bxWf/ieP3j6ex5zCAlPYpBTOqgsJPH4KVCwpP/g5pBuQsga6sizXLM3jPW+c+dMbp5+4vlUugmfwRAX5ECw4AmXQB997/2Pahia6v27nXYOCFHKpVFuQEBLnimgMZRCaNbEAPlLg+H08LbB2w8bmb6vChL9XjuT1HALcuC0qHjgXAFlrLB7PtsZ5cpUB5NOpJzNprYfwoP9EdTgPN0e1JwI4Ge7SfXL9HdLvOsSO5LP6FonFrtbYPwotBD+ErTVwIjZqoiKakI0JrP6GKlvkUlnxRj4NvXDuK/3n1GBZ2OUBVs+TKchvW28wtB/e1ckf4hiRrcXQUPLz+zDU4pbf16/t2P7I9nzsyuIGjsOBqnHVaN3K5uk27WyfuPPT8nksYnkbKcoOVE2i0flICHpocGCRYpYHtAxY+d3Md7rg3i4pH/Ut1WnDrfQX9691YZpskZAsirpJMtc1Mfw2BGmxOiMGH1IXgiCZ6BiMG6lhkMpCHzSQtooAtMwMN66+2Q0vGgqa0hBFPirCIWZbiyGN84Acanp5opbQMAlCXo73Jw7vfVEY6BVz/rTrsGJA/GIF2MEMgIcq2yH4pjx9FrRCKCQ9I1QR6euejvmXRndzu2+TQ0aP+Lo8a4IX6dowPP9/f0bPmwzk8wIhTu5hhQqp0nqGcBGA2AC7zwS1gxz4b191Shzvuy6ECMmNwK0nQdyi13BKq0RFE6Ia6pzB4dZR/qzUckwqMY5w8SlGIBvijRXJsqs+xDausgTl6L1SIOwCzCGhHQEHUuTjk2vKSsihQq2TsIEik8lO4H8KnYQifUiUVau9dB7nMDxcVjrTFcelrS4AQuO7mInYO2ICtyFhQrSz/lSmC0D44QBhcwTBaE0gVMihbDb+44Py1H965a2DP/HnxwoapxlFRFDXqGruxZ88De0bpOVsGJtoBOoRsugTLcmAxB4w5YFTdZCagtOaECtA0we5DNj57cx1uvzeHCmTHyxi4qXmjISopgbnENkzrrddYBvJlBJxqVSM1D7H9cXDHaIkOySjZnqE1V9zb4OGRe70Dll58rO+PdacV5vlMhUWjKZFOtVyqKKHyope5UY3OaLRFpytKRnQJshB424VlXHfVGHrbHT/byqApOlVxAF4DPAfwqkBtErY7iNedmcbV71r+9IO/f2hG4AZmYMHVaGo7C4TYlZw9WPnJPXutt6w7aDXXWQDhYNQNnEvj16EENUHx2JMp3Hx7Dj+5L4caZOXv0YBbQw2DyjOJ9xSM9vSOlaIhBHEs71t/rIHcsMgR6x11NHWMz3QEQDQstlJMNHATTUJUPJwIg18LOSFYPx4I2i8ExTuCgAXBIlW8DL+xptZjRcBfeJZC+BafaLxdXiwAlecR4GCh40kBz/WQZhxvv7AMcOCm2/N4/NkUqipgJNQ3pn4EmSkKita6Mq58awr1rXNuW7Nq1Y1uafeMv9cZWXAAyGZsZDP4h+6e3q5dBxZumCw3+goDdTFUBg5OEAyWKBxCQS0CYlGUQfEvd+VwyScacNt9OdRIEriVlda2UV0eNAuHg8qOSFhepxJURVj1VFgkNPBXwCSmOjJl8CfiRCYB2ihGPhp0RybHexaq52btZngAMf4BdIsenEe38LqTqUuLQfqsZsmlFY9act2ih5adRCw5g+cR2NwH+c+/PIz3vrmEPPWCxO40cdFWqKKzWEFrvgJLOIBgKOQasXx+529T+Xnvu+VHPxu184tnDPAZW/C6LAGAyV3bH5/8wOXvcNzDt2LPgc3YsDmHf767gP2DFLOaHFx2QRkXn1dBUxPH/7kri7+7pYCRcaYaaieAO4GDR8CtUxNLl/5g0hIj58SQBSPqiA7eCBXRQRxabT3XxGTbavGpONKnwHRIe6cHuUaNhHLEjIBPhK8HnDySp0JUGZsJciF8Tk2o5OPyvVBp7kNJ0NceKXxu7pNxBJybyHtGARAOLljgS1IKcM+DRQVa6z188apxMCrwo7uyaGriuPi8Ci67oIKORo6BQYbv3J3HfY/baG3uwby+v6gtYKR0+ql/NmNwvyiAq9HZvRAQ/JFRa82Zn/zKYPZH92ThgEF4Vezor+C3j9gYHCHoncXxuW8XMDLG/OikYaUTrHYM9JpTqVlsSuOFDKYEKBIssMa9oyCf5j6Ri5MQ9NPhmUy5JwJmREGqbVfPI/uCi0DLHlQXgsqtVkEeItRKZ3FlRRCloKiiX9VnnIJy7p+HhlYeAb9X7f0oiAZ2BgCU+5YdALhfqwvOwV2BpiLHde+fRMUB5nRyfOaKcYga4NVS6G5JYfWiGm57YBIDpRXl+fPmPsLojInGsQM8nSlAiJFP242vE4Plwx9trd+RGXMtjJco4FaxdlUNF55Vw4OPpVCuaDJH7DaV3u3/ihTJud00EsQxGvdoikosFVZ7rOMuSk9CXCeE7KNfRqKTefRMXAAI3BaStBMGNwc06030w8I0WyEix0ZBLRWVINBDZW2nOjeBxrl9zu5P4qCQKyuDgAoKoSo4ZSs3j0vuSxXm/b8MCiELJwSyGY5ZTRz3PZzC69baWHuKi2otg+GxBoyOW3j9ur6K3X7eV12wv2tuKLxogB851jnNuP76G0TX/PMf6mpMs9a8c+bI6BgbLZdxxiljuPGDIzhvdRXNRYG7NmQwNCaXUKbTSIEG8MMMQdVP0DLC8TJaGbXkBGH7ZxIWEodrciL4ByDaHCKLJcxtAKHadpm16F88JDjOP79MPSWySJaohZXCRph6fWfsRuO0Ss2P566H56B6hiMQ2S6CCxdJ50Z0WyR7UpOLYv9ocr58YDjkxJikGQmCINO0f8DGdd8p4NFn0njueRuL5rhorQf6B5pxaHJZLZ1bcCNzD3y+a/ZK91gw+qItuBqdjU7Nauu8oad1rNbXs/tz+4YP0D8/q4p1SwBeYljQ7qCYk6Yk0DuPDG5liS15U3ndsXIzaAEbCe6kaGU0chn90aas5gESLH4C8dC5emznNEOz2tFMwmCKbr0TKEpgmVWOgCDggoOQsPUE0Xl7cJzG04Gg+l3A5+VU8nIjpwUUVPDAsvuWG+CSRlD4qy0berkMzRMhIISfaTJWItixPwVkUnjoj3lce1MGbzxjBJOlPF+8sPNzXWzuP+7YN1Q7Vny+eHIjx6WX/iVWLDpUvmh9152LTlkt4DRiVlMjSqUiao4NTyb2HJmShOAGTHAzIrRV0EQAfn1VBhWmDx7D5N6JVjMB1EC4XbdgoWVKpjjRx0dPUOJDz/M2q+2DmpoArMb8aKahAWq981U01C81b2gt4JCw39DK9UxDlYKrUmqJpq5EQvmCApz4PgElgJUG0kXsPtAG7rRj6bLTRS3de+fG54bKF7z2zUf7lU05jtmCAwDJzEXjrPy24q6Wq85ZU3fzvhceopnUIbRkStg9wDBenkYpCaTAEGGMhIqJEX6HMMPwEeDGmmYCyX/LGgCDv3ztOYx9cV4efRYTT4ILQdsfdQw1qx08IIhZdHUfteI6tyZS8QjUE6I7rGZXLFM391t6q2ofShFENSmHjISq5kIkiNCDqNwVLoUUycM5wIlPvAk4ELHkBP6itFwIFLIc8zpcbNnLkM8xzGmkOGXh6/mpK0+5aox1bbNqQ8cDmsduwQFg7pzTcWh/unbuWeu+29uZ+nhdsRmCV7Cln+Dj32rA7oFMcgcqQ+cOwR1mB5r9uxOb9yCSLagBONHBjFhwA5A6zZhinw7oWJJV7PHRDzHddsOKa+BN2OY/D62uHiENe6yElllFRYPzGAlY8WinkaCl6eRc+5eIFkwEllz4SVquxzBvFseXrhrB0rkTgFdBc0sTDg3bH1/Yt/a7dtmtrVqy4nhA8/hYcABo65yHysSAt3L1G3aMHsqO3/Tj5+tu/lkNBwbT4GqN5mCFYbnqgpbKp2hHNPU1tgKaxreNnO4p6UdCOZqCYpSbQ39LxLxYgmNMq53EVGY8kiy6tl0VIfvPQysdWnAE3Dw4lUQ1JwATCuh65FKEKbWSTwf1mvDP5UczETzXi10Ceq3kRHAoeVxZckLCyGeo9KkWfxQXngbcft0L+OmGHFq6zxm/5DVn7Nje/4K3cvmc4wXL4wdwALBTWfzm8aFfLOo95+p8S+qrhcIDTWz0BQiXQwT0RIGbBiDxWzpIMEPrI4iQikSrdJLoR+KS2wnOYpJyAMRBm2TFjefG5GTLfzQjYBwqnB4BINHAHz5XDmSoexM96KPAHjih/osEFMVIs5U0hPsLygavo/RupZND0pQgkiqkVAhJHn2QE6XgCBGCHASAXyfACYfgHJOlNHKZHnzw8jcOZVqWfyTF+n/BRc/xhOTxBThLNQIAhobGfvj+t51vdTbRG3//2B2tP7h7GIfHC3IpbQvBir/S8oScOl6RE5SZQePdgBZ+D6mKwlUIZPNCiKknSXxbTkji34g+TwB6DNfTAF0Hr7kjclwCPw/UlIhOrvJXYgAmAJHlhclWXAM0wpIxCEh9W2rdRAc4kReNWsKHBH9BQv7b+HltwqcqjIAQDmYLDI57+OWmHpy77rJDueYLPuk5zg+Jtex4whHAcQa4Gk1NRQgx8r23v/VM2tf59Bd/+fDB1uFJDkEZbEaRkZqv+iLVD+3TlHgXqkTrjISQvLFfxGhJ1OorNzAqIZIoWiPchiCcY+DzePCVCIhBArZhzJFYDR1KIAgW+dgSwSmiziZBghXnAJfxA8X7OSFB8CdwMhWY4VtmvUhDLUAL+D+o4AhyZAhkAhf14Hkch8cYht01h/LN6z818IL3vd6uuhMBxWML9Ew3rr/+BrD2Ux/fNpA/dPby0fNGJ0ayB4cb0JwG8paArZoGIeS7+nLa0RRYY837iHWPNqw350SCOmquCtYowFP9QiIw14zXn4cBm/DiIto+ogVikgI8JPmC1f5l1H5oF9509yooFs6fpt1Fgtypt8fQldHYv5p24Rh+i2ZMjH8YQeAJCte14LgWPM5gWQIbNnt4cs/yoctf33Fthvzxex3d604UDE+MBVfjM1e9DUJ8+QeHDvfUtu1ruKW/f7iuNU8hhEDJIeAOgeeFxSDBFwcYltsHZNSRjHenCkFoztXPiwAI5po7SfTEeBxcitobNR4nS41HHAE3Ns9p0JcoDdHoiFr73bDMMBOqiAz26DkrRKMbyrJzEFC1TDe0fZoa4wdxfPYtpKkXMqBEYh/N18NrjoVK1YYQBI5DwNLzxx9+buk1P9+U+bdffefyEwnBEwtwAPjM17q5lU7fVpcfc9901v7v7+nvzzgew74Rvx9dTSX5KI6oIpEwixYUAKl2A6ZwJKO3pDn6BCAG/OlohgngKEmfal7y0KnHVJw8tJlCO7EwKYxGWwxVJqAs2pr28kIIJESigkahlk6CC0nrR669z3BeGFjSF4cCEaCCgwkCz2M4PJrDRAno7FpQWdjb8N+/cg25o1ad5D3fOYHg03BywsbnP/IOtFkVr6+r5Y5lfbPefcGZ8yur+jjyxTKGKgKTnr9qrhP+XvK30ZaviHFys6DYBHHEeidZ54hVNyw4zGOiqzlEncwo2F8MDRfT7Ihq3UFRBEJg645dtH9K7DX0ogio+VqbiYSoZTSiGW0WBHWc6iMoF+21LQ/5bBmjk2PY+EcXE97Cikt7353Jz7lj/8E6r+eUK080/E48wAHgA1e8Eyk26X3+3y766foz2v/q7W+qL61aNALOPXDHhedxA+DRJUUoTN6dKA/i6K134FzK92c4mCQCTh3EEetsbCbm/pkiPGAjUY9SxKbGgz/QwvhGYCcKes2pDICqXyhapqFeWCGPDUPykfNpKQSQLURsy0EmXQUhLn7/bA0HKnNQEt1XnL1+/U+37Kh4p6677ITjbqY/wzGP/s3fR++SB3Drj1a/81e/O3zzo5sP1Fv2MHYPZlHldSjaBBnqqygWlZmDVFNVqO/QRIuMSQT8Macz4oDqjl7U6dQdQGpsI2FRM9XnkXAeJfFt6ni5LziWItExDveFDnX4ukKbK8y50k8xMieDxLNwsVt/YQLlw6j1kqA91uYa2yJL0wQr60UWNWAe0qkqCClh7wsEFmmGS2cP1s9+73Bz+7L3uU7tt22N6WMH01GOl8SCq9G75L244ZtrYYuF/3reqSs/9M1r1x3+8acZFrSVkIJAlqll/syqeD1zUBUV62VoiqYAibQ6tMIauY47nfIYzZIbQ/vHMDYrrmtOnfGI0xQS3xZNrtIeKyvun0uvzTTPr9Oa6L9B4IiK0PJzhCF6T6crQVKW6ovoL33juhYgGLY9L3DtdxbjqQNvPVxsPOfj93zznX3ZNB7OZlJ4KcdLasH1IbwhgNrvO7j3rhsu/cTG1t39DnI2Q8mlEBCwqcwBZ7I8jQqNtiTp5CJulTULGe4LLejU1hoxq23KiqZVDiTBqJWWFtzIG9esf/Q9MIqIdVeWWP9MQjs2tNTRVGJzn261tX36ShzBv4b0fYyFxABCTOvt96AUYMyDJZexESCoOTYoqaHkMfxh/2WHLrnwwr+pOc6tszsbTgrOTriKMtUgrAmHxyZvTTW+hbzrLS1fvP/Xv24tlUbwxD6KyYqN+pT/ZTJJU5KKAULOnLAysXod6DycGDxb3xdYdt2CGzzbtAUxS36s3wfiAczg30FTO9RbNeJBIhACwxA9iXJwFW4RgSwpEH52PaoZyJbyc4sgVCNf0yO+2gXuX7AQSKUcTJQ4ntqWQ1NDB05bc/ahU89d/ynAu5WyhpcGVAnjJaUo0dFczCMDfPfyN6+99ur3vm74nW9oQVNxAhVHaOshhmvLMxoBORLAHnmcmBSVcCXE1ZWIIqIcQS13xRhTUJjphohyEEMNmX6/MTfJKY05odrmIPlKcyYFAK4yDEM1xXBWZaW9xylcTy1a5dOXlO1itFzB47s60dD5xuF88wXXOo79XcqKJwQ7RztOmgVXI1eXB/fcH55z1uqhx9P981971ux/OPSzJ20ICosSpBhgMwAy1GsUAwCh9oppQJ1glaez+EmDTLMtFtrX58zQtEeteHSDEFNZ8ag19s2wUDZY162VTZaWXyV4BXq31NlJ8F3rK0PIlSIgw/eUw+PAyFgKnbPPdbpnt/yPOfNP3cFY+j/SLzHfThonHeAAQJnF//Phbb9on3Vpau3Kp0rCs266+/6nCSU1mk35AOcCqDoCrpYTGnUiDQczBvZ48bAaSUCfaqdh1bXXTzzwKMCtt48gCecQGtCEdsqk+TrtiKW0aFFQAgTRR/84RURUvriInEPIjyPgeRRVxwL3ANv2m6zWFxkvNJ8h8vXLP3jNlUv+BdVdNZJZeUKwMtPxsgA4ALzh7IX4zcOP1/p6Gn84MtZ9f7nsXjZ2+OD/Gjo0gLqchYoDlGqA64W5KmpMGZaP7otQl3B7tDCXRKhQyN2BI+GWHMWcyIiR7yl2CxhhcYN7KysLCWJNJVFWm6hopTqX/GwqvK/8ALU0od/IV1vBQ/Y1nChZKFUosuka8nXdsPPFzzS1dP9E2G17ncn+Wqqw9iShKD5eNgAHgNecfSoAlL980x1be+cvuyE3O58aGS5+ujKxnwlSwr8/zJEGRc72OfqRLLduvQETNyJyzJEQScQ0cyL7jkkmjITaZ3SOCE0J6VFI6gLKIelLGLKXtAThv4U6igBghCOTdpHNjOOejRS5TCNWLpvn2fmmL3Qvzt7Q/2zVm7N46Yv45Cd2nFQnc6rxiav+Eh3pA95Hrn73Zz/w/r+68bJLzq6uW8Xg8hqqroiBiUYAre9LTJnVb+oiiFl18/G0gCNHnnKkoYAVjKni95oDmhyd1BxKrR0bBCL7zPOEpw95thCG6QClLrKZSeybKKBz7rrqOevfdeOp69712Sc2EW/O4nccZxQcn3Gs6tYJHWPjE6grlCE864vPbNt65pXX3UPreOXMQ4OHLUotpG0gbfnqijJ8saglzFTSmP5NIno3ifchCfRvaq6yZkYslcataeXaviQdnETfq3pOw226vh/uF1PHAGhc645q4NGMTKVrqyimAj1jAmnbg225cF2OXL7BbWp0Ngxb7+HtbYs2jJf5p7pbbOQLL74xz4keL2uA6+PWH96JdMquGxmb+KdHn+5/2x8276c2L6O1yEAIQdUVciHRUFKkMu1T184JYDb4IfHcbx1oqnGOHuIPQW4C3A/V6+H6eA54uC0hnSAS6Ens80JgAFUP0RuBHhmSZ0boPTwu+F6IHrTx7zmnqDp+n+76wiSaGwkqfB5P5fr+3U4XruTcGV+88uKTDYmjGi8rDj7deN97LsFzW3eNN9Rlr5m74Pntrv2HZWl37JKxQ7uQzTJsP0DguUA2JQxQGbxbqS8axw32JzmiCJ3PKcvLtBHSHlMrT6QvSoIjM6fdcYVEczx1hzKQVdQbCeldkCsuINfl8cGeTnlwXAfbn8+CEaC9YwFaOuidLH/+05zN/xoRk+Mt7XNOFgxmPF4xFlwfz27bg0I+37vl2a1fHTy485KUtwnf+NkYDh/KoKOeImWHFjAAENeyFWX4m0mLGoTI9VC9Zr11SnIkikJpvIrH/Ffwv3KTcphU5cgW3Aeq3rzfpDOa9ZaBMpUcBWjcHZrVpwJpm6OxOIHdByfwfx+eh7ddtBKrVsy/s6d3wUdK5cn+uvrjWxD8UoxXJMABYPDwECi1FwwN7l7RWDj04a/8aMd5j/1hGyxvHJQxcO4vHkGJn+hfcwCP+4EOi/r1z4wBLAC43nfQBDMQAhrQwRYC3Acp1Z4n9CJE5LlOUwzerd/HK5f882hlYjArnxTnZlR2BGNC5ov4+zyPoOr6UUgmge9xwHE9dLXbqG/rwZaDqx9c1F33tcWL5j9Vc5zt9Q2NJ/snf1HjFUNRoqOluQkAtrue2M4onp43m85av3rpt7dtfW7B/Q8/yUbGakjlKPJZCsflmKxwOC5gW8K32ojUZBqA08Ct0ZwwEugPpU1DvwigXRTaLXHogRldiNYlH3lvqEFECnrClP844EciJfcR3O9UxeRrWJZAyvbgOAQjE2k4LkMu4yKTdeF6GbR0rvY6587f3lwce//KtWfvB7A1sef5K2i8YgEefAA/4rN1ZHhoq8e91zUWM10rV512+2133l+cHBnIF7MuVpwygrs2CmzbnUNzQcBm0YLkEOiAaXH9EYp4KmlJAS3YraNc3WkifRQmRvs2EYJcb7sGmBeNgbUgVRUgELJtgyxM4ELzJ+Sa9QSwLY7Gugo276ng7keKWN5TwPzePLp6mic7ei8YG5vApY2ts/eB0v5XOrDVeMUDXI2GxiYILvqbmlr2Hh6aWHrpxXydbeGfxw7vcJuyjzTd+chwXakGNHo+LBhjkqaQQBoDdF1dOorSynK9Mhp+wxsyheeZ2CJZg3g0iSoAtH4q+fdgcn4lYvudpcKkK59qhAXMcl1MJQ96BK7rl+pk0w6stECFtI/3LVk2dPqpC61sRlzR1jFn4yyrOAoBTuirA9zAyzTQ82IH8XVoXi6PDy+Y23VPQ32x73f3/Wr+nKXv+8KyJec/s2he+xNtrfWVpsY8GPUXVUpZBCnbL5nwPKWlE1iMgEmnUQ3Og2VlEKw0jOSAEhD2DVdOpg8+v/mkupkFCxpoRXheSmWFk5Q/Ied63E9dcD3A4/6LW8w/sFwlKFcJXE+gUhPgKIDaDRWS6n5i3WnnP/P5ay//wm0//uX8bK7Yl6vrvmdsrDxMCHlVgVv9Nq/qsf/ADmRSFvnqDzagrWCz1qbCTcKr9u3Yufucnf37WWPeQ12e46kdkyiXKVobLOSzDLblW0HP43A9Acf1b1xIwDEC2yKwGfH/BWh4Y+rGQuqjlhLhXATNjgAFXiIdXk3hUcUeFpCyBGzmO4hcADWHwnEB1yNwPX9byhIoZAWa6ysYHnewdW8eLfUpzO22kc61e20dvb9tKKa2go9elc2Mel7uIkA4Ym7PvJP9E53Q8aqhKFONWR3zgTDw7Y6Ojl6ZzaYb9+0f/Ps77rw3heoBb+kiftqQKK7e/MwIhFdB2iaoy9solTkmPcC2KKqOwHjZAwFHypbRUYSrN6jqHTWIUmqkGuKplawF4Lki4MVC+McGq7YLaItF+Vl+jAKpFEcm5bdPGxojcFy/mXGpApTKHlIWB4NAYw+DVajDU/sKj9ppPNY9u5MtXPbaWjrb/Lfcqw0Xi/Un+yd5ScerHuDRUV9fDwDDAD4AADu3/wK2hfNKNrlo8Vzn0pxVXZRL11CbeBYbnnEwPllDcz3FgtkVPLXTw/7BDJoKPrUhhIBKC67UFUUzCAgsBqSlJl9zfYrDhS/HuZ50/Gy/25MeHOJemNZqW76enU1zNNVXsedgFU9uT6O5kEF3O0UqDTw/aOGsNYvR1Z5DR4f1XDOjt6+2C7+ymXhw3foLT/ZXflLHnxzAo2PegosB4MHDh4ceBPCQ53nzneow3/70Tt4y1Dl3xbK2v3FKB7BuxSQGygPYuKUK4gFpi6Iun0HKCrl6zeGoOhy2RZGyCdI2QSHHkbKAyTJF1QEggHJVoFRxYVsEeUKQTVOkLF+vLlcEaq5PUzzme7kZ20HaKqMxP4pdrA5eaj66Z9tYubQLk5N7bnhs+9iu09eso12zmqltWzsA3LNiRcPJ/mpfFuNPHuBqNPu6+j3q+cCBF7BsXbphYN/+Df27UujuKjlnrFnx0YULyZ81ZDgKGYHdO5+G8CZRrgD1BYKBQRcHD5aRS9dgMxsWo2iqq6KjeQJ7D7rYsbcJLQ0UW/aOY+9Bho56ho5m/1z5DNDWTHBgiOH5gxaKBYbJsotCXT1WrVmBpnoP9YUacrNw774JfKV7NrO7e5egueXCB9ecWRupq2892V/hy3L8f4BPMTo72gBgBMDPAeDZ7Qdwxko863G3PcUEJ3AxNtSParkKxwPyOcDlFef0NadfR7zSm5uKcDqaCXo6SigWhrDlEEVLZyvOXsHRt2wYP99Yh+a0jZ5WitZGhp4OZne0p+86+JtN13Gkbdu2wEsCdiqP2b1LkM9RpGxO61utg5+8ErtS2Zmt2f6nOl71KspLOe646yEApH1s+IX6Ys4TbU0UPe0lpNKHcduvUxBuMy5a68KzhvH9XxdRJCn0thA01TPM7rBId1fTqBA42Db7vJP9UV414/8BKGmF1kyQ7hoAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTg6MzE6MTArMDA6MDA+ZhojAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE4OjMxOjEwKzAwOjAwTzuinwAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}

Column	Type
hecke_orbit_code	bigint
n	integer
trace_an	numeric

mf_hecke_traces • Show schema

id: 66271663
{'hecke_orbit_code': 103582860182556976, 'n': 1, 'trace_an': 4}
id: 66271664
{'hecke_orbit_code': 103582860182556976, 'n': 2, 'trace_an': 0}
id: 66271665
{'hecke_orbit_code': 103582860182556976, 'n': 3, 'trace_an': 0}
id: 66271666
{'hecke_orbit_code': 103582860182556976, 'n': 4, 'trace_an': 0}
id: 66271667
{'hecke_orbit_code': 103582860182556976, 'n': 5, 'trace_an': 0}
id: 66271668
{'hecke_orbit_code': 103582860182556976, 'n': 6, 'trace_an': 0}
id: 66271669
{'hecke_orbit_code': 103582860182556976, 'n': 7, 'trace_an': 0}
id: 66271670
{'hecke_orbit_code': 103582860182556976, 'n': 8, 'trace_an': 0}
id: 66271671
{'hecke_orbit_code': 103582860182556976, 'n': 9, 'trace_an': -2}
id: 66271672
{'hecke_orbit_code': 103582860182556976, 'n': 10, 'trace_an': 0}
id: 66271673
{'hecke_orbit_code': 103582860182556976, 'n': 11, 'trace_an': -4}
id: 66271674
{'hecke_orbit_code': 103582860182556976, 'n': 12, 'trace_an': 0}
id: 66271675
{'hecke_orbit_code': 103582860182556976, 'n': 13, 'trace_an': 0}
id: 66271676
{'hecke_orbit_code': 103582860182556976, 'n': 14, 'trace_an': 0}
id: 66271677
{'hecke_orbit_code': 103582860182556976, 'n': 15, 'trace_an': 0}
id: 66271678
{'hecke_orbit_code': 103582860182556976, 'n': 16, 'trace_an': 0}
id: 66271679
{'hecke_orbit_code': 103582860182556976, 'n': 17, 'trace_an': 0}
id: 66271680
{'hecke_orbit_code': 103582860182556976, 'n': 18, 'trace_an': 0}
id: 66271681
{'hecke_orbit_code': 103582860182556976, 'n': 19, 'trace_an': 0}
id: 66271682
{'hecke_orbit_code': 103582860182556976, 'n': 20, 'trace_an': 0}
id: 66271683
{'hecke_orbit_code': 103582860182556976, 'n': 21, 'trace_an': -12}
id: 66271684
{'hecke_orbit_code': 103582860182556976, 'n': 22, 'trace_an': 0}
id: 66271685
{'hecke_orbit_code': 103582860182556976, 'n': 23, 'trace_an': 0}
id: 66271686
{'hecke_orbit_code': 103582860182556976, 'n': 24, 'trace_an': 0}
id: 66271687
{'hecke_orbit_code': 103582860182556976, 'n': 25, 'trace_an': 0}
id: 66271688
{'hecke_orbit_code': 103582860182556976, 'n': 26, 'trace_an': 0}
id: 66271689
{'hecke_orbit_code': 103582860182556976, 'n': 27, 'trace_an': 0}
id: 66271690
{'hecke_orbit_code': 103582860182556976, 'n': 28, 'trace_an': 0}
id: 66271691
{'hecke_orbit_code': 103582860182556976, 'n': 29, 'trace_an': 10}
id: 66271692
{'hecke_orbit_code': 103582860182556976, 'n': 30, 'trace_an': 0}
id: 66271693
{'hecke_orbit_code': 103582860182556976, 'n': 31, 'trace_an': 12}
id: 66271694
{'hecke_orbit_code': 103582860182556976, 'n': 32, 'trace_an': 0}
id: 66271695
{'hecke_orbit_code': 103582860182556976, 'n': 33, 'trace_an': 0}
id: 66271696
{'hecke_orbit_code': 103582860182556976, 'n': 34, 'trace_an': 0}
id: 66271697
{'hecke_orbit_code': 103582860182556976, 'n': 35, 'trace_an': 0}
id: 66271698
{'hecke_orbit_code': 103582860182556976, 'n': 36, 'trace_an': 0}
id: 66271699
{'hecke_orbit_code': 103582860182556976, 'n': 37, 'trace_an': 0}
id: 66271700
{'hecke_orbit_code': 103582860182556976, 'n': 38, 'trace_an': 0}
id: 66271701
{'hecke_orbit_code': 103582860182556976, 'n': 39, 'trace_an': 34}
id: 66271702
{'hecke_orbit_code': 103582860182556976, 'n': 40, 'trace_an': 0}
id: 66271703
{'hecke_orbit_code': 103582860182556976, 'n': 41, 'trace_an': -12}
id: 66271704
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id: 66271918
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id: 66271919
{'hecke_orbit_code': 103582860182556976, 'n': 991, 'trace_an': -18}
id: 66271920
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Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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