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mf_newforms • Show schema
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{'Nk2': 840, 'analytic_conductor': 1.676858442446888, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [210, 3, [71, 127, 31], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 121, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[11, [1, -1, 1]], [13, [-1, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511348671480018, 'hecke_ring_generator_nbound': 2, '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, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '210.2.i.d', 'level': 210, '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': True, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '210.2.i.d', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\zeta_{6}q^{2}+(1-\\zeta_{6})q^{3}+(-1+\\zeta_{6})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '210.2.i', 'trace_display': [1, 1, 1, 4], 'trace_hash': 2035708026366554613, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.950', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.114', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
Hide schema
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-0.4510562558619816, -0.39012048432053886, -0.2552740036856376, 0.017846269037625914, -0.02735861096252505, -0.21860051084473156, 0.25462072794533924, -0.14151054176218741, -0.30250241503994746, -0.3021066719841733, 0.04506879983866639, 0.2492964016921856, 0.22608768680867214, -0.4734784507884887, -0.45224568037139773], 'char_orbit_index': 9, 'conrey_index': 151, 'dual_conrey_index': 121, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 2, 'embedding_root_imag': 0.8660254037844386, 'embedding_root_real': 0.5, 'hecke_orbit': 4, 'hecke_orbit_code': 13511348671480018, 'label': '210.2.i.d.151.1', 'level': 210, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 840, 'analytic_conductor': 1.676858442446888, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [210, 3, [71, 127, 31], [3, 3, 1]], 'conrey_index': 121, 'cusp_dim': 80, 'dim': 8, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13], 'hecke_orbit_code': 549789368530, 'hecke_orbit_dims': [2, 2, 2, 2], 'label': '210.2.i', 'level': 210, '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': True, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 112, 'mf_new_dim': 8, 'num_forms': 4, 'prim_orbit_index': 3, 'relative_dim': 4, 'sturm_bound': 96, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [8, 0, 0, -4, 0, 0, 0, 0, -4, -4, 4, 0, 16, -12, 0, -4, 8, 0, 4, 0, 0, -16, 0, 0, -4, 4, 0, 0, -32, 0, 8, 0, -8, -16, -12, 8, -8, 8, -16, -4, 24, 16, 48, 4, 0, -4, 16, 0, 8, 0, 0, -8, 24, 0, -16, 0, 32, 0, -32, 0, -8, 32, 0, 8, 4, 0, -8, 8, -32, 0, -48, 0, 8, 12, 0, -8, -24, 16, 8, 0, -4, -16, 16, 0, -16, 8, 0, 8, -8, 8, 32, 0, 0, 12, 8, 0, -64, 0, -8, -4, 0, 0, -16, -8, 16, 8, 24, 0, -8, 4, -32, 0, -64, 0, -4, 16, -8, 0, -24, 0, 8, 8, -24, 8, 0, 12, -32, 0, 16, -8, 36, 16, 24, -16, 0, 8, 40, -16, 64, 0, 32, 0, -32, -4, 0, 0, 48, 16, -8, 0, -8, 8, -16, 32, 32, -16, -24, 8, -16, 8, -44, 0, 16, -12, 0, 8, 0, -8, 96, 8, 4, -24, 40, -32, 0, -8, -16, -16, 44, 0, -16, -56, 0, -4, 12, -16, -24, -32, 0, -8, -16, 0, -48, 16, 16, -4, 16, 8, 56, 0, -32, 0, -64, 0, -16, -32, 0, -8, 104, 0, 24, 24, 16, 16, 8, 0, 16, -64, 16, 8, 8, -8, -64, 12, 8, 8, 24, -16, -16, 0, 16, 0, -24, 4, 12, -32, 64, 0, -32, 0, -28, -16, 0, 16, 0, -32, -64, -16, -16, -4, 40, 0, -80, -44, 0, -4, 56, -32, 20, -8, 16, 8, 16, 0, 8, -44, 0, -8, -8, 0, -32, -16, 32, 64, 4, 16, -16, 48, -16, 0, -24, 0, 48, 24, 0, 8, -64, 0, 36, 16, -16, 8, 48, 0, 0, 12, -8, -8, 36, 0, -64, 32, 0, 4, 8, 8, 16, 24, 64, 8, -24, -8, 24, 56, 12, -16, 48, 0, -16, 0, 0, 32, 48, -4, -8, 16, 0, 32, 36, 16, -20, -8, -8, -12, -16, 0, -16, -48, 16, 8, 24, -16, 0, -16, -16, 28, 8, 0, -96, 0, 32, 8, -64, 0, 0, 16, 16, 48, -32, -4, -8, -24, -32, -28, 0, 16, -32, 0, -12, 16, 12, 0, 0, -24, 0, 12, -128, -8, -72, 8, 0, 8, -96, 0, 32, 48, -24, 32, -8, -16, -16, 0, -16, 20, 8, 4, -32, 48, -32, 8, 28, -16, 0, 0, 0, 48, -32, 0, -24, -12, 0, 32, 0, 8, 8, 4, 0, -16, 24, -8, 64, 8, 16, -4, 8, -32, 56, -48, 16, -24, 24, 0, 32, 0, -32, -8, 72, 32, -16, -8, -4, -16, 72, 16, -16, 0, -32, 0, -152, 0, -4, 32, 32, -80, -56, 0, 32, 40, 0, -4, -64, 32, 0, 16, -16, 0, 8, 16, -56, -32, -16, 0, 40, 0, -8, 24, -48, 40, -48, 0, 20, 32, 16, -16, 16, 0, 64, 8, 0, -4, -32, -24, -32, -20, 8, -16, -64, 64, -16, 0, 16, 24, 64, -12, 0, -28, -48, 16, 8, 0, 64, 0, -16, -8, -32, 16, 144, 56, 32, -8, 60, 0, 56, -72, 0, -32, 16, -8, -40, 24, 64, 0, 144, 32, 16, 8, -40, -112, 100, 0, 16, 0, 0, 8, -64, 32, 176, 40, -8, 8, -16, 32, 24, 16, -8, -32, -88, -16, -80, 12, -32, -32, 48, -16, 8, 48, 0, 0, -20, -16, 16, -32, 0, -84, 0, -4, 24, -32, 16, 0, 128, -64, -48, 0, 4, -12, -96, -48, -48, -32, -16, -8, -88, 0, 0, 16, 0, -40, -16, 0, 48, -40, 16, -8, -16, 0, 64, -16, -48, 16, -44, 8, 88, -24, -32, -28, 80, 16, -76, -16, 16, 48, 16, 32, -4, -8, 24, -24, 16, 0, -80, 8, 32, -24, -44, 32, 16, 0, 24, -4, -28, 32, 32, 64, -32, -24, 64, 0, 0, -8, -80, -32, -56, 16, 8, -12, -16, -80, 32, 0, 96, -24, 48, -16, -44, -24, 64, 0, 32, -8, 16, -8, 64, 24, 0, -48, -24, 64, -128, -16, 16, -32, 0, 4, 64, -108, -64, -24, -12, 16, 0, -80, 0, -192, 48, 16, 56, 16, 32, 0, -48, -8, 48, 4, 0, -64, 0, 32, -48, 24, 8, -16, 160, 16, 8, 44, -64, 0, -40, 0, -64, 32, 16, 8, 16, 32, 96, 64, 8, 8, 32, 0, -56, 40, 0, 8, -72, -16, -12, 12, 0, 64, 32, -16, -8, -8, -8, 48, 112, 0, 48, 16, 8, 48, 32, 0, -64, -40, 16, 4, 60, -16, -64, 32, 8, 28, -128, 0, -8, 24, 32, -48, -104, 8, 8, -32, -48, 0, -52, -8, 8, 8, 0, -4, 56, 0, -16, -8, 64, -16, 128, -16, 8, 24, 0, 56, -96, -40, 112, 0, -8, 48, 24, 64, 32, 208, -16, 0, -12, -4, 120, 32, -64, -12, 16, 0, 72, 32, -4, 32, -56, 0, -96, -32, 16, 64, 0, 0, 88, -8, -32, 16, 8, 0, -12, -52, 0, -40, -16, 0, 24, 40, 24, -12, -48, -24, 16, -48, 0, 8, -84, 16, -176, 24, -16, 16, 40, 48, 16, -16, -80, 48, 0, 0, 28, -112, 0, -80, 176, 0, -184, 32, 32, 120, 0, -32, -8, 64, 48, 8, -216, 0, -272, 8, 0, 56, -32, 16, -32, 16, 4, 32, -104, 16, 48, -12, -80, 32, 32, -4, -40, -144, -32, -16, -24, 0, -8, 24, 0, -28, -48, -16, -40, -24, 16, 32, 24, 0, 80, 0, 48, 32, -288, -32, 16, -28, -16, 0, -68, 0, -188, 48, 16, 8, -24, 4, 144, 128, -64, 12, 0, 8, 144, 64, -8, -144, -8, -32, 144, 8, 64, -24, 96, -4, 8, 16, 0, 80, 96, 0, -20, 32, 24, -28, 48, 48, -128, -16, 32, 32, -28, 0, 0, 96, -16, -8, -48, -64, -80, 0, 16, 80, 0, 16, 20, 64, -48, 128, 8, 4, 64, -16, -32, 104, 48, -16, -16, -112, 16, 8], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43356018
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480018, 'source_is_minimal': True, 'source_label': '210.2.i.d.151.1', 'source_level': 210, 'target_conrey_index': 151, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671480018, 'target_is_minimal': True, 'target_label': '210.2.i.d.151.1', 'target_level': 210, 'twist_class_label': '210.2.i.d.121.1', 'twist_class_level': 210, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43356019
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480018, 'source_is_minimal': True, 'source_label': '210.2.i.d.151.1', 'source_level': 210, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007886483063414, 'target_is_minimal': False, 'target_label': '630.2.k.c.361.1', 'target_level': 630, 'twist_class_label': '210.2.i.d.121.1', 'twist_class_level': 210, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43356020
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480018, 'source_is_minimal': True, 'source_label': '210.2.i.d.151.1', 'source_level': 210, 'target_conrey_index': 1201, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27023796821034640, 'target_is_minimal': False, 'target_label': '1680.2.bg.g.1201.1', 'target_level': 1680, 'twist_class_label': '210.2.i.d.121.1', 'twist_class_level': 210, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43356021
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480018, 'source_is_minimal': True, 'source_label': '210.2.i.d.151.1', 'source_level': 210, 'target_conrey_index': 949, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029759125193754, 'target_is_minimal': False, 'target_label': '1050.2.o.i.949.1', 'target_level': 1050, 'twist_class_label': '210.2.i.d.121.1', 'twist_class_level': 210, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43356022
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480018, 'source_is_minimal': True, 'source_label': '210.2.i.d.151.1', 'source_level': 210, 'target_conrey_index': 949, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029759125193754, 'target_is_minimal': False, 'target_label': '1050.2.o.i.949.2', 'target_level': 1050, 'twist_class_label': '210.2.i.d.121.1', 'twist_class_level': 210, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43356023
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480018, 'source_is_minimal': True, 'source_label': '210.2.i.d.151.1', 'source_level': 210, 'target_conrey_index': 151, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739866, 'target_is_minimal': False, 'target_label': '1050.2.i.b.151.1', 'target_level': 1050, 'twist_class_label': '210.2.i.d.121.1', 'twist_class_level': 210, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43356024
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480018, 'source_is_minimal': True, 'source_label': '210.2.i.d.151.1', 'source_level': 210, 'target_conrey_index': 121, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671480018, 'target_is_minimal': True, 'target_label': '210.2.i.d.121.1', 'target_level': 210, 'twist_class_label': '210.2.i.d.121.1', 'twist_class_level': 210, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43356025
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480018, 'source_is_minimal': True, 'source_label': '210.2.i.d.151.1', 'source_level': 210, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425149374, 'target_is_minimal': False, 'target_label': '1470.2.a.h.1.1', 'target_level': 1470, 'twist_class_label': '210.2.i.d.121.1', 'twist_class_level': 210, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43356026
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480018, 'source_is_minimal': True, 'source_label': '210.2.i.d.151.1', 'source_level': 210, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33555902, 'target_is_minimal': False, 'target_label': '1470.2.a.a.1.1', 'target_level': 1470, 'twist_class_label': '210.2.i.d.121.1', 'twist_class_level': 210, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43356027
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480018, 'source_is_minimal': True, 'source_label': '210.2.i.d.151.1', 'source_level': 210, 'target_conrey_index': 961, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043745317815742, 'target_is_minimal': False, 'target_label': '1470.2.i.m.961.1', 'target_level': 1470, 'twist_class_label': '210.2.i.d.121.1', 'twist_class_level': 210, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43356028
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480018, 'source_is_minimal': True, 'source_label': '210.2.i.d.151.1', 'source_level': 210, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043745317815742, 'target_is_minimal': False, 'target_label': '1470.2.i.m.361.1', 'target_level': 1470, 'twist_class_label': '210.2.i.d.121.1', 'twist_class_level': 210, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 43356029
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480018, 'source_is_minimal': True, 'source_label': '210.2.i.d.151.1', 'source_level': 210, 'target_conrey_index': 541, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007886483063414, 'target_is_minimal': False, 'target_label': '630.2.k.c.541.1', 'target_level': 630, 'twist_class_label': '210.2.i.d.121.1', 'twist_class_level': 210, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43356030
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480018, 'source_is_minimal': True, 'source_label': '210.2.i.d.151.1', 'source_level': 210, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 157625986991526202, 'target_is_minimal': False, 'target_label': '4410.2.a.bj.1.1', 'target_level': 4410, 'twist_class_label': '210.2.i.d.121.1', 'twist_class_level': 210, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43356031
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480018, 'source_is_minimal': True, 'source_label': '210.2.i.d.151.1', 'source_level': 210, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 117093590345191738, 'target_is_minimal': False, 'target_label': '4410.2.a.ba.1.1', 'target_level': 4410, 'twist_class_label': '210.2.i.d.121.1', 'twist_class_level': 210, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 43356032
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480018, 'source_is_minimal': True, 'source_label': '210.2.i.d.151.1', 'source_level': 210, 'target_conrey_index': 961, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27023796821034640, 'target_is_minimal': False, 'target_label': '1680.2.bg.g.961.1', 'target_level': 1680, 'twist_class_label': '210.2.i.d.121.1', 'twist_class_level': 210, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 43356033
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480018, 'source_is_minimal': True, 'source_label': '210.2.i.d.151.1', 'source_level': 210, 'target_conrey_index': 499, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029759125193754, 'target_is_minimal': False, 'target_label': '1050.2.o.i.499.2', 'target_level': 1050, 'twist_class_label': '210.2.i.d.121.1', 'twist_class_level': 210, 'twisting_char_label': '35.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43356034
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480018, 'source_is_minimal': True, 'source_label': '210.2.i.d.151.1', 'source_level': 210, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 301741175067385014, 'target_is_minimal': False, 'target_label': '7350.2.a.cp.1.1', 'target_level': 7350, 'twist_class_label': '210.2.i.d.121.1', 'twist_class_level': 210, 'twisting_char_label': '35.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43356035
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480018, 'source_is_minimal': True, 'source_label': '210.2.i.d.151.1', 'source_level': 210, 'target_conrey_index': 751, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739866, 'target_is_minimal': False, 'target_label': '1050.2.i.b.751.1', 'target_level': 1050, 'twist_class_label': '210.2.i.d.121.1', 'twist_class_level': 210, 'twisting_char_label': '35.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 43356036
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480018, 'source_is_minimal': True, 'source_label': '210.2.i.d.151.1', 'source_level': 210, 'target_conrey_index': 499, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029759125193754, 'target_is_minimal': False, 'target_label': '1050.2.o.i.499.1', 'target_level': 1050, 'twist_class_label': '210.2.i.d.121.1', 'twist_class_level': 210, 'twisting_char_label': '35.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 43356037
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480018, 'source_is_minimal': True, 'source_label': '210.2.i.d.151.1', 'source_level': 210, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 207165582892604598, 'target_is_minimal': False, 'target_label': '7350.2.a.bu.1.1', 'target_level': 7350, 'twist_class_label': '210.2.i.d.121.1', 'twist_class_level': 210, 'twisting_char_label': '35.24', 'twisting_conrey_index': 24, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 517850
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 13511348671480018, 'p': 2}
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id: 517851
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 13511348671480018, 'p': 3}
-
id: 517852
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 13511348671480018, 'p': 5}
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id: 517853
{'charpoly_factorization': [[[7, -4, 1], 1]], 'hecke_orbit_code': 13511348671480018, 'p': 7}
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id: 517854
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 13511348671480018, 'p': 11}
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id: 517855
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 13511348671480018, 'p': 13}
-
id: 517856
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511348671480018, 'p': 17}
-
id: 517857
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 13511348671480018, 'p': 19}
-
id: 517858
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 13511348671480018, 'p': 23}
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id: 517859
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 13511348671480018, 'p': 29}
-
id: 517860
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 13511348671480018, 'p': 31}
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id: 517861
{'charpoly_factorization': [[[121, 11, 1], 1]], 'hecke_orbit_code': 13511348671480018, 'p': 37}
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id: 517862
{'charpoly_factorization': [[[11, 1], 2]], 'hecke_orbit_code': 13511348671480018, 'p': 41}
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id: 517863
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 13511348671480018, 'p': 43}
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id: 517864
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 13511348671480018, 'p': 47}
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id: 517865
{'charpoly_factorization': [[[121, -11, 1], 1]], 'hecke_orbit_code': 13511348671480018, 'p': 53}
-
id: 517866
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 13511348671480018, 'p': 59}
-
id: 517867
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511348671480018, 'p': 61}
-
id: 517868
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511348671480018, 'p': 67}
-
id: 517869
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 13511348671480018, 'p': 71}
-
id: 517870
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 13511348671480018, 'p': 73}
-
id: 517871
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 13511348671480018, 'p': 79}
-
id: 517872
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 13511348671480018, 'p': 83}
-
id: 517873
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 13511348671480018, 'p': 89}
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id: 517874
{'charpoly_factorization': [[[16, 1], 2]], 'hecke_orbit_code': 13511348671480018, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 4, 'label': '210.2.i.d', 'level': 210, 'portrait': 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cxNGmYnUpY6AZ2BYJh4LPcFmyYMi6uGE+cVNc9n0zRsm4vYODNkw0zIppmQbRstOzYprtjuUVdNjp5o88AzPo8dSHjqeEyqunzdK1d5+8stdTXDgeOTHD2jOX0h5VwG7oMLlhuumudnv2OZ7bMTnJ6f4sJSncUVj8VVyXInpdNP6Q5h/9ElDpzqXPHs4QuvOnx6ftfR0/O33/I13xTde/ufvtiQ+Cvd/l4z+PmFDooUg/il+584/PKf+c1Pym+46dDL//U7TuilzhxLnTaLKw0WlgMWVjWLK4LFlZSlTsziSsq5FTi8KNgwu8LPfdciN17a4OT5ac5caHJmQXN+0XJuIeHUfMqFbsLk9JBXXNPj5svBl3UCFXB+qcbZBc25JUE/hCQx1HxDs5YyNZFggOPnEjo92LnRo1kPsVaA8OkNDDs2hSyuaLBOiqz0IEzAYllajdi6waM7UAhlESakXfPYsXnISl9w/IwmNZqZtqRVEwQeJImgH0rOLUnOLlrOLycEwRC8hFuu7PHyqwRz7TqLy21Ong84swDnFxLOLyWcXoLDi5aXXbnAf/6uZTZPtjlxbprzS3Xml3wWVgWLK4al1Zil1ZTFruFCV3KqA92VLv/9X8fJu17Tuq++8ftM0Lz8vsTw04EnUN7kiw2V5739vWXw333fx7jtFdfzz//Vv/2F9//pnf/P737oSxc/d2Jl1+EzXfmKq7vs2WyIEw9jJMZKrJUZb0vcdWtR0hIoOL1Y56FDkmv2LHH59iGNGnha4nsK39c065KGJ+n3PPYfq/GFx3yOXwjpJDH7T4ZsnFnira9Y5pqLu7zs8lWOLSQs9AWNYMiRM5bVTpOrL5KsDFP2HlO0Gppnj8MlWyzDKGWY+mgdM9WCfScDlE7xZIL2YBBKbry8z6AvuebilM4g5fiZFrs3KZqNiJXQsmGyz3Kvw0fuhCeOpjx1dMjOLYtce1mHqemIt9zS5RtfbdmzqUUaT3L09ASHT3mcPGc4dSHm1IWUwxcEJ1ZiXnLpPP/5u7psmpzk5Llpzi81WFjxWViVLK0aVroxK92Ulb5huS8431esdCNuvmKBH/0nF2TDM7uW54/uTtPhTc327roXzHzxmUc/wXt+509ebMise/t7yeB/+Mcf57qrtqo77zv0n/YdPvcfHnzyuFruxKwmiguDlGt3nee//8g8111c5/ziNIsrTZY6NZZWPRZXNctdWF5NWe4kLHUTFlbh5LJA14fcetUS3/zqiN0bmqz02lyosNfSqpMIy11DZ2DohJb+MGGmHbNjowEEgWc5dcFDyICdGxS7t1i2bOhzfjnkyYMtXnqJpVFf5plD07SaEVHkMTNlGAzhih1DPnTnJJdtTwhDy+yEJE4HtGoBzx4bUveaXHdpwlNHIs4v+mydCdi9GXZsilAq5tQC+J5FCMvOjQlTLUl3ENDre3T6HksdxdIKLK4allZTFlZTzq3C4jBlx9Ye33zbArderql5bc4utFlYrrGwolnqCJYzcC93U5a7lsUenO0qLqwk3HT5Wd79Txe5dFuD5U6L/sAnThvgX5Zavf0Xhubin/fFqfTmV77txYbOmtvfK4AfOHCAWr1WP33q1I6HH336XYePnfkvz+0/xSBW9CNBNxTMDyTnuzEv23Oe//ZPF3nJRXUuLE2xsNJkuVNjqeOx3NEsd2Cla1jpJqx0E5Y6lvOrgjM9C6LH21+5yltuNFy0uUYUNVherbHS81ntKpZ7gm5fMAwtUWJJU9xq4EE9sEy2LRumY7Q35PDZiKcPBZikyZtuitDeCo/unWDXZvjsQwmvvDrgwuqAmlYkacz0FCSxh/YSFhcbvOL6Dp+9v8XuzfDIwRCPBm+80ZCIAU8fTjl6qoaWPhunNFNNQT0Q+L5ACUgMRLFlGEG3b1npGbp9w0rfsNizDNKUndv6vOXmVd7+8ghMi8WVCae3Vz2WOprlVVjppqz2EsfcPcNSTzhwdxJuuPQ87/6RC1y1q87iygSrvQa9gUd/6LHSkahgO0Fz83+c3XT5n27duvVEGA4Hl1xy2YsNpeL29wbgp08eZOPcnL//4KHv3bf/0Hvuf+BxMb/UlYPQ0h9aeqGlOxSsDkuQ33jJeX7lB5e4/uIaCyuTLK40We4ErHR9lruala5gpWvp9FJWugmrPcNyz3KhKzi7apia7PM1L+tyy+UJOzcq2nWPTrdG4ElAESUSYwTGQn8ICMNUa8jB0xZjI+54pEnYr3PxVp9br+kTmxXufmyS6y7xOHiux+pym5uv6fPFRwM2Tlv2Hrf82Ns67D0WsHFa8oXHFLdeoVjqdzhycprrLo24++kBSdjglit99mwfMkh6fP5RBang8ClNu6HRAvoDF1SnxhIngDRo37DaszRbMds3h7z8ij5f89KEmWaN80sTLK7UWe64Y7PcEaz2YLWbsNpLWO2lrPYtSz3JuZ5gvptw82UX+IUfnOfai2osrkyw0mvQ7fv0Bj69gabbV3T7giitm+27rrY7du35Z7su2vP+pYX56KorL3+xIQX8PQF4FKUyivpvfeyhz14chfG7H3r4UW+1J+gPnUToDwy90NAfjoL87GrCLVdc4Jd+cJ6X7vFZ6Uwwv9xitVdjpeuz0tOsdhWrfej2LJ1+QqeX0hsYVvuW+Z5gvgdxGnLtJQM2Taf0+pY33xyya5MhSSVaWqIY7nqyxokLNTZPJTxzuAamweXbFNdfZghqfR492Gd+oclVu5q0J5e5/ymPGy6psdhfYXm5zaZNlof2Kr79tT0e3qvZtsFjobfK8tI011/R5/5nUqbrk1x1cY8Lq6s89Nwkdd3kZZdZLt0xBNnjyaOCDdMx5+dj7n7SYxgrpITUWHZtjviamyO6PcWWKcP1l0AUNVhabbC0GrDS8+j0Fas9SacHnX5Kp5fS7ad0+oaVvmVpIDm9Klgdhtx66Tw//wPL3HBpwPmlCTrdOp1+je7AozdQDuADSXcg6HRTllYjrrv+ZbHS3r/7lnd+/aFGo/6XSnvmxcbWi57JNEkHY1a/a+HMo7+2fGHf9MLCCs26CxqFsAgBggQhQQqDFBYpQAmDkpqHD2zkp39f8/Zbl/iW1y6xe2vEucU2gV+nHvg0Ao9mXdOtS1oDj4mmpj9M6Q1SNoaGQWjpDgOW5mucOmmJEsPpcwlBYAGBryxaCvoDhcAj6WteskuwZ4tlx9Y+Ydrlcw8r9h2a4g0vDbj+imU++DmLLxrs2trnqfsVWycVs+0+NVUnij0udKFZ02zbKHhiX8T1l9Z59XULfODTA3yvxetvsnhBny89FPHZB5s8d7TORVsa7NqcMjcVsXs25updKUoZtLKApREEzE0GRLFHt+/zzEGP3lDTHyh6Q0lvAL2hpdd33707SOkNLJ2BZWUA833F+WVLo73Kj795nn9ya8i1FzU5u9BitVen2w/o9j16Q5UBXNIbCHpDyyC0xKng7q887E1Mzf7axPTDS6999Y0/sbTa+8D0RPP/XICncRdr+YHu/J2/tHjyzmmRRtSCOqlRGGuxCHKjR8gUKTKQS+eQaGXxpeSpg3M8fqDJgTMXeNvLe7z8yiGTrTZLqw2anRrtgU+vr+lmJ3sw1PRDzTC0DCNDFFvi2JKk7h4lPtaAVAJPC2q+YLIlmGrBplnDto19ZqdWuf1RuOdxD2kmeMNLPV5yeZd7n4uJhm1ufYlgdTDgwmKTWy41zE72qeuAYaKY78QoI3jJpZpGK+Sx/TVedf0EN1/b5bH9CuwEL73S5/u/bokvPhHxhYeb7D1RY8ecYtN0nalWg4kW1APwtEVJMBb2HhWkqSBOBFECYYz7jmHKIDQMQ0N/aOiHht4AOiHM9yQXuhCaIa+7bom3vnyVb3u9IUnanFto0u3X6PZ9x9xDRX8o6Q0k/WG+wqb0w5QwNvRDy+mDZ3n22O3TZ1bMf/2ed75SL3X6vz/dbvyfB/AoXMRa8/2LZ7/8S8tnPrfBJAOa9SbGphgrXNLGAgiEcEuxFCClKJhLK4unDHVPsNCv8+E7t/Glxzu88uoVvuN1K1y9u8fMZIPFlQbdQUB/4GXAVu4eCcJYEieCJHFLvfubLqjUGmo+NOqG6VbM1g19EnocPB3zkbtrHDnZZDKoc8OVmluu6fDQgVXueKDNTZfU2LG5z4fuFCgR0G7FrPRCjAUlYK7dp9P1MUmdt77yAh/+bIM952u85aY+UbzI3U/PEKc1brxyA2+5ocMl21f50mN9njrZ4MmjPtumJdNtQSMQ+J67CKUAISzGgjGWOMku1tgSxu5CHkYwiKA7FCyHgqUuCD3kustW+I6vWeGVV6bMtGusdJqsdB1r94Ye/YEuwO2ALeiHlsEwdfcwZRBawhgSq7gwv8oHPvzFDTVlf+ldX/9ye+b80h9s2Tj9fwbAV0/8Jp3hZpZOfea7Mavv7i49ORuHKyhVw/dSaoEkNQJrACsRSIQQSKEcuGWKVgKtDFoZfG0JtKWuBctDxeLqFB+9q8mDz/S49doVvuP1K1y3Z5WZtE6SBPSHNXoDj0GoiWJFnEiS1P1NY4XLggpL4BsatYTAj/C9kNOLIZ9+RHLolM/RU1MoE7Bns88VuxUvvbyDCuZ5+nCLrZMNrroINs0ts9Rpc/VWSWIstz8cEPYlk82EN9445C/vjjlxrsVlF3ucXRny7BGP7RunuHb3PPc+1eX+ZwVh5HP57mku3x5w+bYuh88uceg0PLyvwcEjTRpaEGhJM7DUPJAyywBYd7EmKUQJRKmgFwo6Q0EnhsgkGDvkZZd0+I6v6fDKq1M2TwcMhxMsrtbo9gJ6Q5/+QNMfKncPBYOhZBDCIHLgHoYO4MOovICiRKCUZGFxhd/9kzs37D16/t0bpxrJ//j9P//go4c6/MEvfsc/XoD/63d/gPb2T7C09/XfJqOjvxH1j00qLL7ng00JvARTgBsQOA0uJUoKlFIO3NqB3NMCXxt8zxJ4loafMlkTdEOP5c4UH7+nzZ1PDtk41eddt61y+fYhw0GPq3Zbtm9ShLFHmipSI7E5uKXB0ynHz1uOnhOsDAyfurfB6YUpbOQxVVNsmdHs3KS5aCtctaeDkQv83l82WVqa4KbLNVftWeVLTwpE4rFhStJsJPRjH2klWInSPqtDwfklwZW2wW0v7XLfY3W2zPrcdNU03/d1C7z/s10e3t+kN/RYXGmxe0udyzb3ufHSLu94VZczS0t86t6AxX7A8bMep0/7eEogpUQgMNaSGoiNJU0MUzMx11zZJwxjLt8e8s7bQjZMKKZbAXFc4+x8jf7Apx+6VW6QAXsQSgahYBAKhiEOyGGa3Y0De2Qy4AuGCUQpJEJx8GyHQ598cPbaS7b+xs0v2Rz/wS9e/MdnD/86m/f8y398AP/Z//Zh/tVbXiO+/z/wTdPBs+991y2PN67e48pYC+ap3J00yWUJaCkz5s4etQOirwW+Z6h5lnpsaUSWiVrKVF3QjyTdqMnRU01+5Y+nwSSIJOGl1/TZvSkiScBYg7UuiSOFQCqB9nz2n/DZe6hGs6Zp+ZLZhmBuRrJhWrNlTrFzc8plO1dIxSK/+Yk2x09MctOlHpfvShkkXR54OmCy7jEzYZlsRTTqTgoZI1kdKpZ6lsXVlNVenVdctcIje/vsO6GYbNe48cpJfvCti/zWJ+GxQ016A8tKV3N+qc2m2QYbpobsnBnyb76pT7uxylNHYf9JiedZlLIIkTGEdWyeJLBrU8qtVyeksUecBFjbYBh5nFvwGYRuRRtGqpBvg0gwDCXDSDCIIMy0fBgZwshkjO3A7aSPYBC7x24s6CSSfmJIhxEry09Mvvbq0+/9uZMLyYmVn/joyf2Tdvtl3/uPB+D/4pc+QtScVj/zp7e//fTJ8x983/3ztWf21fmVH1nlsh0RelBHCndihHChpRAgpXUBpVJOb2tXG+1pge8pQk8SRoYgSgljSz02hLEhiiztBMLYECZu2RzGkjANiNMa+w41eXIfpNbioO20sSfBV67moxXAVZuhXYeJpmSqpZiZ1GyYhh2bQjbPrRDbJX7zExMcPjLB9RcpLtom2bNtmS8/m3B+cYKX7pZMtQ01f0AgA6wSJKlEWEuSRiz3apxf9Lj+8jovubTLvY/V2DglaNRaXH+p4cffvshvfNLw7OkWKz3DSlcxv6yZnWwy1a4z1Z6g3YiZa8bsvD4i8BI8naBUihSOJizuoopjxYV5TZwo4kQRxYowzh4jSRhLwkgyjCRhJFyAGgnCyDpQx4YwzB4jk+l6GMYluHuRoBtLVmLBIEqw4ZCX7F7mF39onldfdq6xvFT/4HTwHjM7O/2JpeO/k07v/JF/+AD/2f/3w0y1fHX07Nl3Pn3o3AcefeZYTdUbfO6hWTxt+PkfXOWK7SlKpkhRL6xBqSxKOivQUxZPKTxt0Vrie8KdBE8Q+ooodkCPY0uUpM4VSSr3FJLUkqaG1OD0tqEAtxCgJGgJngeBFtQCQSOQNBuKiYZkakKwYTph56Y+reYKn7gv4u6np1lZaHPNDsXOzR6XbB+SihVuf7hB09PMTSlajSFPH4bnjmiu3m7ph4prL4m5Zo/l3NmU+WWfwbDBm27o8pWnBhw8rWjWJYHf5uqLDD//3Yvc9eyAv7xrlsWOZeeGlOVVzWRbMdH0aDU8mnVLLTAEviHQKVo5qSWz1kprcQkrI0iMJEkFSSKIE0mUCOJYEsbOeYliQRRbogjCOCUqSMO5TcM4D1xxDB47cPdjwWos6cQwjCJk3Oe6Xcv83A8u8aaXWZY7LeLe/pqS5g/nF8T3pGLDx07uf3/6d83kf+cAT1Irz1zofsuJ46d++5nnTtR8rQkFpLUmf3EfRKHina/t8K7X9phsp6h+3QFbpWjpoZXB8wxaazyt8D3HNpEnCX1BFAt3cmJFnEAUS+cgJKXtl6SGNHXuQmozpyRzS4QQSAlKCrQW+FoQ+JJaIGnWBe2GZbJl2DgdMjfVJbErfPQrkvd/doYNtRrX7BDs2Oyxa4th5+ZlPvGAZWmpxuWbFFNtaDVizh+TXFgO8HdDGAvmJiSTk3DwqGW5Yzi3UOOSXTVe+9Iun76nxkwLAt9HyUmu3iP4obdcwJMX+It7p3judI2NnZgNkwkTTUWrrmjUJfVAE/gQeKC1c5hkJvEKkOMu7NRAmgqSlAzoEKeWKIE4Th0pxIYoewxjQxxDGLvShTB2zD1MBINI0EsEq7GgG1uSYchErcO73rjIu17T5/XXQ7ffIE40Qip6K0dqRtfeW297WkjvT3A88w8T4OdO/DbDcOm7/8W75//bM8+dbU/UFGFqSa3Aeh6xaHH7w5IHnq1xdmmJH3vHgKl2wjBwGUetUrRO8WIPX6eEniaMlQN4xtyOcYRjooyVkgTiFNLUOQnGuIDLGJv3cGbgdgBXSmRBqwNILYBGzdCqJ0y2EuYmB8xOrXDfvog/vKPO/qOT7Jrw2LMJtm3y2bYRLtvRoZ90eGhvm7rymJtSTLZgshUyNZHg+xoh3MU1CH2WOjErfctqL+HCss+OTS1uvvwCdzzcZ//pNo0gxlM+QkywZ6viO1+/wMsuu8Af3tHioWcmWexpNrQTJhsJjZqkXlMEniDwJJ7nYhWlyOxDh3KL62E1hgLoSWqy1c2RQpwYktSBO4khSmx5j50rM0wEw1jQjwXdRNBJYDhIsMmAmUaHH/3GJf7Nt/Zp1jy63TrDKCBOPJJUE6eKJDzcTtL+b97+zDX+f/3dD77/3/7wd//DA/iFhVWUVD/wR5/74196Yt+ZGWkVnrIIBBKLEoKe0AzbTVaGHv/tIx57D6/w1lf1uO26LhtnI7rdGoMwwI98Is/D9zRB7Oy9KHa1InEsiRK37MZJ5mmnZNYfGXNLjKUEd+bQOOYGrVzCxPcsNd9QryW0aglT7ZDNsx3Or/Z5z6c8bn9kmqXlJhfPCXZsEGzd4LNtg2D3liHaX+HDd2uOnGxy6UbJVEsy0UyRMuT0vCXQEinAWkEUa3Zu6PAwKZ2+YrljOb9U59JtNd5x2yof+5LPsfMBno4RwsPYJnEieenuZXZ+a4fbH+vzodunefRYk61TgtlmSrOWUvMFgSfwPYmnBVrhAmcpipoMi7vIjMU5LakDfAHy1Ek6twpClLpalygRhAmEiWCQQDeR9GIYxIa0H7JttsOrr1/hG17V4803GDxRZ3mlRhT7xIlHnGiSRJFa54KZ6OjMK6+66N033vw96ie+922/r/2/m5ryvxOALy+vEvje9/3ZX979S5/6zOENdSvxaw5cxjitqyX4UtAVmn5dsRp7fPjLNe56qsv1l3f51tcP+NqbOsxOhPSHNQaRT+C5AxXGmjhxQE8SRZxKkkQSp4IkkaSpIDWi1NpGlO6MpXBnlHKug6cMvmcI/JR6kNCqh8xO9hjEA770tOUjX57goWcmmfI9rt5q2Twt2Tjjs2VOsm1jxEVbl3nq2IBPfWWOCaWZmxC0m4J2I2a1n/LZB2q0fBdbGAuDUPPWW0M+86CriVntGS4sa7ZtaPG2l/d4aF+XvQd9mkGCksKB3DQYRk7rf+drV7l08wU+fFeH+5+b5MRynU1twUTN0vANNW3wPdBKoCRFkswRuYO6yaSaMeUKl2RAdwQBcSqI0ywrmgoGibt3UwgjQxJFNOs93vaGZb719R2uvyxl45RmOGzS6fvEsUeUeMSxY+40dbX7oJHCI+DQhmMH7/2lrbtvM/1e532NZvvvN8AXFpYxZojW4rvuvOsrv3r7HV+cEdEKG9qOTY11y6KXgqfASyy+EtQSQV95DLTiVCfgzIMNHny6z8eu7vLO1/V5460rTE/4RJFPGPtEsQN6HDtXIEkVSZolbNIS4MZmzG3KmrI8iFUyy4Zqg++lBH5MPYho1QekDPjiY5I/vnOSZ45OIOKAXVOWzZOW2UnF3LTPplnJlrmYHZs6nJzv8jt/2SQJ62zbJphsadpNaDdihBfRGTSZbFmEcNnZOJFMB4rEJHRjn24/ZbmjOD1f58qLWvzw16/w7j8JOD7fRKs4uzA0SVJjGEk2zQS89OIO11zU49njp/nIl+vc8egkZ1brNANFy4emZ/G1xVOgpUvnu7qe8mYAW5wXQWohSYXzz1NBlLok0SAVDFIYJJYkiTFxxExtwJtet8K7XtfhlVcnTNY1cdJgZTXIWFsTJaVrkyQO4I503DkahEOOnLp7w1LH/9VLLr8hOXnq3P/aMFMjqP/tsfnfKsC7/QHNRv0bvnTXQ7/1mc9+od3vdZhoKBe8pDaTDJZEZSCX7tGXlnoq6CtBX/kMU82FsM5fPNTk7mf73PiFHv/8G7tcsaPLhklFu6mJIp8o8UiSEuRpDvCiy8dJAlsElK6WRSnrMqE6IfATPBXRGcTMd2J+/RM1jl6Y4rG9k1jjM1MXbJi1zE4IZtqKmUmPjTOSTTMJW+f6zEwuc/vjhkefm+SabYKplqTVkLQbhmY9QnghQaDRyv19ayFNJYNQMxjGJEbQHRi6PctSx+PcYptbLutx85UrfPgLNepLCi1jB0irSVKfKHY9nrOTNV62p8fLLu7x8KvPcHxe8od3THJhpcGpxQBfSZqewM9lmHSBZ0HkuVTBMXliBbGBxAjCFJe0MRbSBJIYqUK2TA24Zqc7HzdckdKua5KkyWovIIzd+YhijyRVa1bYxMjiHMWJK5Po9bs899SXZpp18VsXXXL9chQOPvW3icm/NYA/t3c/O7dvVu/53Q9d/OxzB9rzC8t4nocQWWFUxgzFEqjce15q8Q0ECdRSS1MJBqmkrwOGqcdiVOeOR9vc99yQZhDyPW9eZftMws4tA265qosWrkUMkTOEwuYNyLbC3FiEtCjhPHNLAjLh2aOSR/ZpPv1Qi2dPtIiSBi2tmKtbppuWqYZ1PnhbMz2hmZkUbJpO2DI3YPPcMnc/E/J7n97A5knNXBvaTUW7KWg1EupByH0HFMNI4zUdqKwVRImkphXXXTrgwacnXeHTIGWl47GwEnB+YYoffst5Ti0s8uATc3gSEDEGCgCFkaQ30Ey1aky2m9x8aZ9XX9PnW18zz76Ths88VOOhfXUOHGmSCE0YKvqxQglX+jAaeGY5AWtIjMUagydSJvyIGjE3X99j9+Yh22ZjvuONIXVf0qp7hFGD1a5j6/yeVBg7TpUDdppbk9ljmstJgRWScLDC/mfvaa8un734xld+szp98lC6dfvFf38A/txzz7Fl86z/4EMPf6+v0//W7y3RrHuA04BKgkrz+ggXBDomd2D3UkGiLH4KQZoBPRUMUxh6HsPUo5/W6XZTfvXDU9gkZuPckCt3DJmZSHjnawfs2BARxyLT2xIqzJ2n/KU0CCn4+F11njrcRGjN8TMNTp9vUKsrJgLBZNPSrhnaNWjVBRMNRbulmGppZiZhdjJh48yQrRs6pHaFj3+lzaDX5JJtlnZD0WpIWnVDq5bgeRG3P1gj7Eu8Da5bNJcozbriTTcOuOdxQy+U9AYpnb5mpas5t9jgit0t3vnKDo892+D4UgslDRBnetkjTp2bNIwkvaFmtefTqjdo1kOu2DbkpsuGnLywyrGzK2gv5ckjmo99uYFQyoF7fP6gNYDBWksSpezcmPCu1w6YbadcttOycQbSxCOMWiSJ6wZKYk2capK0BHWSVhi7AugC5BmwE+MenWTxOH12haBl/tszTz/an9u0+/0HDuyLLr30f79p4m8F4OfOnmJleeHSEydPveepJx6VzbrCWtfqlRqLSi06da8Tldt3FUbPCoM844KbIIXEWBqpcP6sEYSpJDSSyHjEBuZ7bb78lMGS8ucPuZENWJPd8yxeZpEJV5EohEQqRRJrpNF4WtIKYPecpekZGoGhEUAjEDTrklZd0W5oJlqSqTbMTCTMTYVsmeuSssyv/1mNe5/ewJ4ZmGpk7N2QtOoJjXpEszGgXm8QKImSmQbHyYE49hgOBIMwpRsqekNDd2Bcy1zT59T5CV5xZciPf9N5fu1jmhMrAUIYrI0xqSVOPKJYMgxdA0JroGnWfBr1Go2gQS2IadUjXnpJhO/F3HBJwne8ro9WSZYEclnjEVGeSTpjJEJIAk8BPsNQs7iks7qdPOZxcU+a5PGPA3aayAy8Y6BORea9j9+dy5WklgcfelReNVDvWV4ZfCUMh8/8bWDzfxvg9931SSYnVf3I0UNvP3HkkJho+86HTlzmMDEO3ElqSYvnwgHeWFJTYfTcrsp0YJK/Z6w7OAYS634WGUliJanRxCYgzWyv6q3IUgrQQrhMpYJa3VLTlppKCTwINNR8Sz0Q1H1Joy5p1LQDeFMw2TJMtxNmJkM2TPfYsmGR3/u04UN3bGT7pGK2ZWg3Fa2GotmARj2lVY85u2g4fDag5rvyW8gr/QTDSLN7k2HT7JDO0GcwtBmLS1a6mla9RqsxyXe87gJHzp7jvZ/aipYaiyE1KYmxzlGKFIPIFUX1a5LGUFMPPOpBymrXxRi+l+LpFM9L0dI1SkiZZuUR7u5KVwQgMpALVk0lKDQSk8U3aaal86A+SXN9nQHb5GCWlRW7AmoDaVI+TxIX3A6G8MBDj4uduzpv375j5+E//OOPDb7z29754gJ8akL4/d65nxr2zv6UkkPZbEiiCFRcAjlODSrzWVOVsXmeTTMWnWZBTsb4Lp1eWldpxcpy7ogtXBlXO+6e27EOPJfJc4GVlsbZk8o5C54SeNo631gLaoGk5kvqgaJeU7TqklbDMtFMmWwlTLdDZqf67Ni4yEMHQj581xamagEbW4Z2Qzhw1yXNmqFZS2g1Qh7aD0/ua3DxnM10b5k2H4SKGy6zXLJjwMPPTBb11b2BzkDu0ajVqdcm+eZXLfHkgQs8uHcTWIUxqZN7iSWJbVFPMgg1jaGlXlPUfEPgewR+SqCNS5hpV2KslHFbsEhXGoywCEo9VwbnroTY5I6Uye1XicmcqrzU2J1L97jmebFaV8FOeU/yDKmlP+jJ9Njp/2RlzW82m78ARC8awMNhX8bR4Oce+sof/cTq8hnf93yMccwphfNQk9SiEqexXS1IBvQc7EZkyQZRMHoOcFOAO7eyLCbLxOXJCmttESgxZoPJSjWiytPxSjiAF0VbLvsX+IpaoKgHgkZd0Kpb2o2UiWbCZCtkZmLAlrllHtw/4Oc+sJETpya5aNYw2YB2XdGsK5o1aNZS6rUY3xuyOrQo6RJcUpafLAdGnPi06zH9xNAP3f48/WFKty9ZrSsa3YBa0GLXppif/95VfvaDkgf2bsSiMNa4FTJNiBJDFCuGkWIQSOqhouZLAt8S+IpAGzzP+f1aWQdwlRWyZTIlL3Kr3vKmEzcxLAd6rpvLPINjdIrcQ5oyAvCR0oAs+ZakFcMhMcSJIY5dScWx46d9L2j9u5/48e/2er3+f2w2G3/jdP7fGOArqx0GYfwLjzx03788efxMTQiNkuB5DmlSuMAyTgSpFKhMZlQB7li5vLuCIFuAumBpA9ZkKf4C2OUdqPBPnoLPA0snUVw9ubPL8lpyT0sC3w0AqgVuJEM9sDRrhlYjpd2ImWhFTLcHbJlb4cF9fX72/bPsPzHNzmnnsLTqkmZDOvauWxq1lEYtJk4j/ugLLaRSeNKiRGkTGpsv3x7f+YZlPv9oRDcK6GcA7w0U3Z5iNdDU/IDAa3PZ9oT/8v2L/Mz7Bfc/sxFjJalxaXUHjqzqr+bKXYNAUPMEge8ym762RcZWK5MVs2UrnKwAvEx5ZiDPnBZTgt0UAKeYOlAAufK+09c5e5NdBDnALYkxJInDQpwYJ2uNxfM0Z0+fqN13373/6g2vf40Y9Ls/XW+0/r8F+Py5I1hrbz526PF6GsVZ5iyv5M6yZ4lzUZIUVCpIVQlwU30sGDt7bR2gHXPnj8LVUVTBvc7nKkpt8zoTSVlMpVxBlQO4xPOkq9/wBbXAzTxpBCnNugN3uxkx2R4wN7nKQ/v6/Nz7pnn2+CzbpgQzzYo0qWmaNVe/Uq8l1IMIzws5vTiFpwRKmsyWK4PMNJUkiWLzlEuedOIag9C6JoJhSncoqfcVNd/D92p4eoLLtyX8l++b59//ATz43AZSIx3AU0ucpBmTG8LAUIskQ18VEszzwNNkrX7S5QJkVpIsQGSPVYznOLe5bDF5+W1OPA68eVxRrLbFKlwC2pgyzkqNxWQ1MNU6mLwoDiCOI+67/5H69u07bv7f2XHibwTws0f+nKnp5cbdX77bbwVLpNqxdppaV/sgBEpKpHT1DEoJdLE8OaAXwM5AXgC5KkPy5wWo7QuCG8qUdF4l6NrcRJa2LuvJnTyBmgeBb6jXLPXA6edGPabdiJhsDpidWuXRg0N+5venePr4HFsmFXNNw0Rd0KpJGjVFoy6o19zF4VL9EQ/uFfSGPjVFdpE5DZ43IaRGECeaZk1xy1VdHnq2TT92MmUQpvQHim6gCHyF7/mZfp7kiu2GX/7BC/zk78L9ezcQG0lsTNYsXfZghr4k8I1j76w2xcsubncnkymljJNZlnc9kFOJc/JzUAV6vtKOSsr8/FKu1unoY1kDk9fDUFw0B48t8nsf+JT/uje8pfE/P/DZ/o9+z1v+7gFu7XPA9snzRz72O1PNpVeZaEgUa+JEkiqBTPITagpwpakllaCMwKiyXDM1YLRjdZtd2TZn7Qqg8yrAQmu7DzIiSxCuoEjIDNxZkZEqAO4uNE87JvM9XCeQnxVYBSn1TF606iETrQFTrQ5PHAr5md+f4sljG9g0qZlrGCbq0KwJmnVFo65oFOydUgsSWo0hdz/ps7JaY2qqTJPnYDGZPo1TxYYZxete0uPuR4zroolMBeSSmiepeRpP+2hdR0rDFdstv/SDF/jJ37Xcv38DsdHEWQWgK3t1TB7Esqgu9LVE66wISwqUzo8NxefLL8Jcqoi8Ko0yIZSTS87oOfmYEcBTWY1twd7FewXAGWHxAujGVYMOw4ReOnjVU/uO/cG3fOs7f+TT951e+bqX//U2yvprA/zokdMg5n9S9Z7+loZ3grgxRT8ElTXwSukMfAcuNzgnUe6EamPLYETnB6Jc0oqgxlTA/XzMnSE9z8gV2lvmFXSl7s4rBrXC1Wdoi+e5xuKab6j5KfVaQqMW06yFtBpDpidWeexAyE/97ixPHNnIhkmPDY2UiYbNwJ2xd01SDxz714KERhCRmJBuFCCUxMsZvNDgmWY1WYFY7NH0h65cIKoxlYN8mNL3HYMHvsTTGk/nG9Bart5lefePnOff/rbh/n0biY0mTAVRajIWF9RiQ+BZfM/1ruos7tDKlQgrKbPjk3Xl54+VwqziwqzGOpaxWMgW58wUr53UNGm+IpclyzmrFwxeyXCnqatgjGIYRJL9h5dIG4e/5U1nHjwsk/jf/50y+Jmzp9i8aevOX3vvr15z864j7JiWDOMYY3PnxCKFzAAmUdKQKOEsQplF2KoSPKZkUXm+bJcskYN9vJ6ktLptydrVoDJfbrOKRZUFU1pb1xmUFSHl1YM1L810c0y9FjLV7jPR7PLg3oSf/r1ZHj+ykbkJzVw9ZaJmaWXgrtecnZiDux6k1PyEdjNi7zHLXY818aXEUyYL4spFP1++41SRGM1tL425+KIeh0/UmWuQdam7Hsj+MGNhrdDaQ2UzYYSwXLUTfvmHFvj3v2v4yrNzDOM6YSqJEksjs94CDwdyna9epuhtlSotVjglRQXgogLyyjK5BuS2BPgI2HNyKkFtclfMVtyxLMmXyxJXwejKc8Os7jxMNb3VQ/QX4mte/7p/v/PM6RPHt2z9q+/t+VcGeDQ4jldr7jp/8iv//ZY9i98w6Q1JTRstDZ42WJsWdpOU0o0UkwJlnIuSKktZwpo5JrrUbeOgrgaTaxjEcUvG4GPgFhapcluwHBDkZczta9chFHiGwE+o+Qm1IKJRC5me6LPc7XPPM/DLf7yJpw7NMpuBe7JuadUFzZoovHLnvBjH3r4DeD0IidKU4aBGTbmLTAoxUsmXJ1JcoKmdltchYdYCVgLc4PspvqfxPIlWCiW9AuAIuHa34Jd/ZJlf/ZOE+/fNcGa1zbApmUwtrcRSyyYOBJ7NvP/cSbEFe+dSJQd48XmzDy2KY14ef5udlHJltYVkMVXgG0ZMg9RaTOoe8wA0NdVEn2uqyOv6tZYcPpPyZ19KvyES96c33/SSf7X38JljV+zZ8rcL8HNnzqC8lZsWzux/e8Meo+ZNEEbKFVMpg2fdkZBCZgxqSWWWBFCiIkUyxi481fzAiGya1ToWYMHao6owPwlu3EPO3jaTJzarGnTM7brwTTZmIi3AHfgZuKd7zC8P+KU/avCpB+ZY6E0xNyGZq2Xgrjnd3cgCy3ogaQQ2Y3CnvWtBBETc+YTPcuwzEzBSj40YXaHS1DU/tAPNa6/v8+D+iG4cMBEbwmzWiB+6WnVfO4BrZVHSQ0iXoMHC5dslv/bPO3zmwQG/8L6NnFqYYjCpmfQFrcTQSCCI3ehlX7mBRl4eaEpRBMH5YzVQr16YQhS9IiNSJe8UslUWL76nrWhzW6xeuUSpOi05wGPjMpwGaGhLmDS4/c5T7Niw7+2bZpt/1OkOjv2tMngS9VBe45Kzx+75F6vzT6NljUGUFlG3kiabsGYzBrcuuJRV1s5Yy5ZgN9nzNZIEkVlS4wC3JaOIXBaZwu+Wxd8ms8EcsLVy4PZ0iu+l+F5CzY8J/JhWfYDWfe5+MuUPPtvm0/duIDJtNrQFszUnS5wFmPvkKruLjLmr7B2jdch9z03SjzSbGzbLGI4zeH6xS+JEUfMUN18xIDEO4INYMMzdkMiNXPN0bnGqDIgu++jAJpidFHzLa3q0gjO877MD7nluhnNxnX5N0k4sTW0dyHUWhyibxSU2A3lGDEJkcUyl3U2UMU7lTIxIlgLgVYLKAF1kmjM2L+UKo3aiKZNBSea7a2nxAwiU4p4HnuUl11z6L77hza94vNPtHWy3vvrcw68KcJs+S7z0R0h/cktdHHr1bPs4iWlkKV53oIttIgQI44IglcuSVGQtY5VAMgN9KUVc4EXxWJUko/k1B247Ikvyi0qKUpaobPJVztyecrUYgRfj+zE1L6LRGOL7ff74Ds2v/K8NHJ6fxgtqbGoJpoOUdmBpBtDMOuzrgct21rKEkKtfSbOVwMmThU5KL/LxlcKXtggw869hKcsL8nqNKPGoe0M2TQ5Y6bcYxCIby+BiBc9LM5tPZXancgAfCVxd5eM3vLLHDVfO88t/OORDt8+xlDTpBx5NT9LWrgYn0OArimYInSd9spVPFlKlTABlNn4uDAt0F0w+xuhViVnIltw+tGNWYpYRzcsyksJ0qJZiaB453OEjX3jq1Ufnu1vOL6wefPipg9x47SX/mwA3Kd7s1+1Keo/+nh0+Qr1miZK4CPyszdkpB7Z0zJ1KlLEYJUiNKRi8SPtmH9zaUaDn8wjH6qayw1oyuMiyb6Xudmlnx+CmwtxpBvIEXztJEvghgTfg2PmE936mySe/MsOR81O0Gx7TNZgKUlqBzVLvObhlBm5ZJIVqmfYOfHfhtJshn7hPc/B4nVo2Xq5oF6NEeTHGwYqs+F9z+U74uhu6/MHnZug1NO1sREMQZXGDMmgtnfuhqIDcq5wstyrsmJX89Lf3uWb3KX7309McOTfBUlKn72maStDIgO5L6y6czGVSFZLIg3Uhsk1hMrnivkKlcXsM5HZMZpp1Hgu5aqsgh9SK0efV/w8YWI9P37uf22667Pd+4B2vevP5xc5XlSovCPDBMEVoyYXTD2wLVw/toR9icWMd3JdwBTnSugSPsQZjJNI4B8UYWZEi5aMdAbeoLG2jwM4bFoSoHFBRAts92nJAkDSZa5Kzd4qnE9e5oxOCIMTXId004j0f9XnfZzZxenESo+pMTyimfcuEb2hkzN0o0vcyq1PJpEnmnRfg9l32MowjDp4K6EUBU0Hm4uRJp9yVqKxQRU1KrGk3Nbu3RahgSDdqMfAF9dgS5gDXaZaoUc7HlnkJ8HrBq2Juos8Pf0Oft992jvd9psN7Pz7DwqDJQNeoaUVDC+rKEiTWsXkmK7UsyxvyVXENk1fORX7BFuesAu61QC8L48wYm6dGkFgH7OL9KoMDgRJ0V4c88fSRPbs3TWx74203HLMmRkiP57u9IMDj4VkwzTlj6x89fOCgt2l2ksCLkdKMfCNjJVbmADaorPKsWoWWd9lUgW0qbF0Cfe1M/rzSrZgXngFbiKruzqrkVJoxuBs74XsxNT/C9yJWhxH3PSX54zvafPwrMwzTFr7vM+MLJn1D07c0AkvDL8FdCyRBIAkyaeISQ5kzkQHc91zm8+hZyz2PNohij6Bp1wSY+a1Mczv5FsUKz9O87oYuH/5ij/2nmgxqbt5L6Fn8BLzY4EUGpdycRicjZDnchxJAqXHlq41As3FywL/95j5X7Aj50B0tHtk7wfygyVD5eJ6mpgV1CYHMbNTcXpV5Vrqqx0eLsgqwjzlcRbazwEfJwtbmrgpFPJbakrHTdUCeB7ZKWDa3NM88/pT37W+98aOLS6svWel05//GDC7VrOwsPXfTytk7JiabnWw2t8lqK2xx9Tpwlm1iueZ2bC3HmFuMyJsC1EUSZwzgFhBu/zSEzQIgN+YtL/d0n8miVeoArtJCjmgds9qLufcZwQc+1+aOxyZYWm0h6zVadcWkZ2n7hoZnafiWuk/G2o6564Gk5itqvqDmk1XomQzchsBz+lvpkAOn4PRqzSVWMn07mjgpZy+6Psis5NRIokizsS24ZPuAp08k9GPPjWmIwY/IpnulmUTJEzXOtareitR5ZkPGqasPf9frBrzxxmW+9HiXD97e5pG9bRa7DValT8/X+ErgS0EgcT2c0qKFzZg8m0IgsrLfcYCz9pRRZXCqlYnVewnqJJcnZDrcClLKqUAKCKT7+dmlmPd/+MsT3/VN9qZbXnrJ5yq/9tcDOMmJwFPpb0f9I81mIyTwE7RKUMoUrFrKjCp4ZcHeo+/nLWVZv2QOcqqqrsrcFQYXObBLpya/2NyjG//m526GjJnvJtz9qOaz97b41D0TXOg0EbUaXsujrWHCc508dY9MdkDdF9ldZiWnme72BUHO3jnAdYLvJ9T8CGtj7nws4PjZOrPTAk+aYp65FGOXraUoP00zSTEIPXZuFLzu+j6ffCCiF3sMYkHNs/iJY/EwtpVVShV+NUKOyJTyHJQNCkmiqQch73rNgK+5YZE//0qXz9zb4O6nWlxYbTAQPgNfoz2FFgJPCjwp8YTNpJZFIjLJZUe/0zjQR9yVnLmFu6grAK+ydmxziVJxXcZQEVvnwsVG8eT+083+0P72U/vPXQEM/toAX1w1hGbwbf3VOyd3bDxcjOTNL5a89BNGgV0A2lTBnXe4y9IGzP8fcP2TI8C2xYFzuq8CbGGy5mGDyACudYqvY2q1mGGYsv80HDuj+MgXJvjcI20uLDfBq6HbHg0laXmWljbUPUvdg5rnwF3z3ExCV2YqK3eR/dxmIDcFyH3PtacdPmN4+mgAnpct87aSoh9NCxYnPnNSnJvixjlfvTvkym099p1uMKgJGokgiC2hIrP2TMbeuZuSB/mlVil89rw5wahs+oDHMPKo10O++00hb71lhc8/2uNPv9jg2Jka+043iFYCkkAz1BqppEvnk/09stLjXB6SB9B2lM0rAC/Abd3ouCKwZBTMxlpMQfv5dNx8jrYTKUki6CDoGcHq0hIPPvUEc9P1F+To5wX40sqqiOLwx3/nTw5MXjyX8rKLY152aYzSFqXBZFOlrJEYMkBTsnYOcPflZHZSZcUlKR0TshNeMkKuufODl92lzfbpcYwdBG6SapKmnFuEL3xZc/hUnbseqnN6uc7hM00IAlRDU9OKprY0tXEugucG59c8N67NgTi/y+yuMoCTae4M3J6bZe77SXZhRRydh73HGnhy1B4sJEqFFIqgq0h2uZ7GJPG4cueASzb0eeZIQj/xaMWCUIOfzQRUFYBLKRBSjjA5VZasJNfyvknXO+kRej7tesR3viHkldd0OL3c4c6HfY6cDPj8Yw3OLNZIBx5GamJfgVRZsOyslcJZqT6uxXgpycaTQtljAWRrgbR8bk322kJsIQbhGaQ23HhZyI17Il62867ZN7zhX/+LHxkefbeq7V5PBDw/wP/4o58mTlL+5HMD+oPt7N6wylW7+tz20gFX7k7YMpWyZ1eERpDGstTaqSxBjhyRMO69XG8LsM8j4oqI3RZD6fO7UilekBKnliMnBU8fUXzhoQbPHPV57midThgQRgF4PqrtEShBQ0FDG+oVHzjQeZ1GXjbr6sKDTJb4vsL3ZXYB2FJ7e6nLLHpO59f8GGsizi9JQhu46bfSois223hdRw7y1Jb9jmnmhws0c9MRUg3pxR59LZzTEZcFY1qZkQykFBV45cOOKAP7NC8LyHoovVQV4yf6oc+mqYgdG2NeelHIIBrwPUdXeeaYzxcerPH00RpHTgTEicYGilQqEJK0+HKSqphcey5ZJyWdAzoHt8neMxSZP2sgNmhh2LM7ZutUzOW7Im57acSVOy1bZj2GYad55tjD34LQ7/5rMfj/+vDtLC531V0PPCMCK1lM2jx51Ofpw33ueGjAhJewY2vE1ZdFvOHGkNdeF4F1bVH1psWa7EubEvwFuCklysgBsbkd6Jja0xYyORJHbq9MIeDYKcmf3BHQjxVPPFfj0MmAhZ5PmPqgfVAeqq3wpaCuoKEsNYUbZ6aywiPlWNv3hEt6VMHtSfxMlgQ+BD6Za+JS5p42+F6SZURj6rWIC8spX7i/xWo3YGpCoKUpSgZyHIzfinLTQotLwlAxO6N44y1DPv/IgBOrTQaedDJFu0lgXpx71pnHLlNnF1KddSKLv2GsrvwNB3Q/VaRakXiKONXEseesVC+m6ce88uqEm68Iedurhxw4KXlyr8cgUnzoCw2OnvNASPoDTRqpom3KaspsUPW8FgCv2CpFRsggEoswFpuBvt5M8TyDsIbXXh/yhhtCrrosYufWhLaWzDQVcVyjO2gSRQFheFC0Zq5Txw98Ltl56Zv/agAXwMxU8z2rnf61SqQ0AkUsA0wimO9r5tOYo4sJ9z+T8tEvJsxNJVhruP7SmHe9fpjV9sLchOG6q2OaNZuNT3NrtFjvSkcUw3lW+4Inn/JY7EjqNXhor8dffqXGMFYMY8XZcz5GaGLrYYQHWiMCjZbSjYKTlloG7EBZAmVdDbjOPF9dMref92UW4FZZj6Yo2Nv3DL6fF2ilBXv7foxSEV9+XPHJB1ooXzu7bUR/Pz+DF50wae54KIZDj7feOuBT93X40J0T9JIazUyHe7kOj/OMoy26hYSQBcDcn5IVrV8BuMm64LVjck8rEq3RSeqArlKUcoP0p2oJt16WcMtlMVaEvPM1fYaxG+f2F18JeHivTz0QLHQUTz7j0+nLTCWNC5Yc2BRAt9a1Bl53XcTsZOq6flLLu14/4LpLYqyBuWnD9AQoJBZNEnv0Bj5h5DMIfeIEkrR/rdLt91jLD/+VGPzc/DIbZyfbv/3+T1xmklgJLJ5wW4jEyncH0SiMSQit4fxqyvkVt7wcOGH4yy9PgDXY1DIxZbjp2ohW3WLS5/NKcnxnp0UKVnqKR5726axKpFaERhJa7ZhJaNxcYA1SI6XEk8KBWVoCafClA4KvwFfljD4H8nJMstvjRxaNx1VwO4bPymq9nMHTyj0h0DHWRpxe8InCGsGExM/S3iqryhvJYori/FYCcApmTY0iij2mWortsxG+GDJIAgaJoK7dEMy8hkQVGwRUy1tl8bfKmMflJsoh+CZrNqmMf0jSLG+gss29EuIkRcXZCGuVImXCtlmTrRiGK3YMiWwfqS2rq4JHntas9CWqUCyjQfUolbny2WbNcvO1MRNTBpu4n9SlQIsst2I1aSKJjCLNSovTVJMaXSQBozhRcdy77OKr3tG26WJHqJkXBviRk+c5dW7x3Z+8e99rnjvVRyn3K76E1EqM8EEokCnY/O6WmwTDar4cSUtnxXL2y81yWcrpawTUFf2W9y0Kgcm3XCCrORUShMqCKokSLsXsQJ2lnSXZxq25b1x51FknvSLbeo8C3K6tyw3XD3yBrylKTB2DZyyuDX6WHfW8mCCIOblg+MPPN0H7eFKUAWYhT9apra54xPmQUAc2dyKj2OM73jjgz+8e8Nz5Fr3Uo5G4TWldFaAtO3FUnhMog73iuBZKQFYKvPK7KWphtFZ4qcsfuHpxVWxCoKTJ6saz5yKPh1K0cFJitmH42lcYN3wpk5nuUVSeMxZziSwZoDCJLiRrmgiSIqfirE4X38mCBNLUrU6+Z5jWZ5ht3PcakqvfjUl+9Ksy+K++7zMoKfwn959hIVJM+I4NtLD4UhAbgZEZm1pdiYCrgUMOaEvqjQM7z1fnzX8V3VZU9OTLrUTIbBtBXGmnJ9ywTl84KaAlzqtVZDUV2fO8kEhTmYOSs3bZVV8CXBayJfBt0dLm+6YyOCfBy9jb1zFSRhw/J5jv1BBaE0hG5IkUo9dwJVM/UkFZ1cdJqogSj5l2yM5NA/adCxmkmmEKQTbL0UsyHZ7k6XRT9lIKVbmaRCF73aTdvAFBVKSRQaeGVEmUdk3MWqqsWC1FKpOtFFmCL889ZPspuQlZBhnlk7JsJduZ24d2fcFS2MPlHMmqGVH1802eQDQKYyUCi6fdeA5tDxIv/ZG/Xr5nDcAffvYUQsBy32k7g/M7vexkaeVcm6TwtFVp9+Sf3I7LkbWL1DiLFyWwQiCyhILLnrm/rYXNkg62qPHInxfvjYE8HxGhldtcSutyHooDt3SPfg70PPjMwJ13/2hTSBRPO33q+zEJMZ+5r875+TrehMKv1nBUHRTGFOlIpZ0YCwIVw9BNsH3Ly3vc99SQTlKjrzX1xBBl6fRqQVRecOY28cr/Uh5ojmUQTTZTxZJNORBoI0iUQKey2H9UK0OSAb1MppkiwSZzkMvS6cpdrzylvy7AK3VFVYDnn7X4zFWw5+Ue2YZazsQg2zFDEYcxWh9Yt0BvBOC/+6E7mGrXX/E//vjOG1aWhygcYHLM5qWxXp6BolJEgxhhpxe65Z5wfuLzrFgOaEVms+WvM9stf+4e89LYcqB+PgqhCuxiDopiZJe2EYDnAWeuu3UuS2ymt0dryX0vxvcizq0aHjtUB+2jM3miKwVK+fcSYwh37FRW3eVjMYqsY6qIY4/rLw6ZmRywutygnygaCrzEfReVupmPKq4CHAfy4g9VE2sZYIwt6oOMMqRG4BlBqiSpMqRKkCiZWZFl8VpeDpEDWylbsHgx2LSSkBNVcFdBvp5ZXjku5Qi5SinHGKsbU8YZTuIpYjbfoCbe/or5E99579yOt64P8LqMsYn92p2T4rrzfkyKdjW6+YmwoK2TUnnatRQjpZH/VcFNpQwze64YBYYUo69zYEtJ4THn7+miRa0EtpJOlqiie6UEdt5869g709yaQm/nlqBj7BLcXlGdGCOI+fRXAu57poUMNL4Ubv52UUFYrVev1lGX57YYjVaweKYxjWIw9LjlqgFf98ou7/10iygN6KWSWmoJk8pFLSoyRcqMxat/6vmYHIyWxcClHNypkijlemm1lNloiRLcTp648uS80K0sfht9zhqpMloZuu6tktVej9HzqcGOzQWp8VhaFuBPXzdN9LXWiHvXZfCV5VO0Ws03fvGLX/p2L11goi7oRdmHy/9AnomrVAkU1iYvDO5qqeUIg+dAYDT9W5bDlqPXqozutiChYHOdd9Ar93yExbNuGE+NgtuNUxhj7qxn08/a2zydNxwklXtMRMyf3tkmtQGqyF5WA8yyrzF3NkY0eM7iebtePu8vzYNNjcDjXa/t80efCVkxMYO0xiAVeAkFi0tpkYkois6cXTiuRSWlNVktWRWkOut4VxnItUUZJ1dS5WZKuhk3pph1I6VFpjmbl4AuVhH512Dxr3IbaVfMs+DZheBmyygGkc+Jk10m+71vv+Hm19x19PjJz+/euX0U4CfOJbR68cX3P9vf8+ShLggvGz/s2NWKyj8+8gmeD9CVUhmR80iVzcrnRb1xzuoVFiwYXJSJEylKxs5nDro2NVFo8Xw0wsiwmwzYWonSSSnsQNdx7xqTbcbcZYCpK+wdeBGPHZIcPFPDKg8lJb40mYyqrjylDltTqzGiwRmpl88dlTjx2LMl5sqLejxwoE6sfAaJoCbBSy06ESiRN3oIZJLpcCRONFb/pKiwuKhIo7IeO83mQ2plSJUDuhI2kymyor/zvylHuqlEVmBWgttSnXvoIFSWYYwDaeStiqWar362cvxyRhfCmQKbZ86zddvCnqnm4OLEH34+/9UC4MlwmViGNFSP0Bq6Q+lAlv3hdYtqxi/GnKIq4C0+YJWxsSO/U13Kq3o8n5tXHQWRyxQlhOuez8GedboUTC7LMW3l9t8Zc1eG/7huewpgF9nKgrlTfO0SO64rKMYS87E7Gywu1hGBdr57ZWVZU4Oyzkkr57+M1nEX3rRRxLFmdlryTa/r8tihNmFao6986qnT4nk5q5Jk4M7XCpN54mVxHMhC3xZ/09jKBVbtjXTdWDpbIZSxlcSSLJm7MqFW5j58pRnFBaClLKnOPxyhSrEuda57IVT/LSksKiuXCOOE8/MxfrtLkpTFhSXAFz7G0rzH224+wolzq7z3swFtpWh4DmhVRi3/8OhVV11+xDofcj1pMvq8rJ+WFatt9Hk5jUmOsXd1gqxjcYnSowD3dTYAyMu3DswynNriFal4kz1PR+5auc6d547DR+9oEUofJVWWvRy9EMczmOvaZFRYvOKmmIzBk1QTpJpvesOQD3yuz1NH6sTKoy8lfmoy90ggU1s5ZhYhReFiuJvJ/tbovkVVJk8N6MJCzEZcZyUBKrXFsM6iEUKWzJ2zet6AUjRGVEhRVO3DHNC5TS4qR0Wsh53K/5f9Owq3YvheQuAP+eKdlj+76wBX71klTpJRgD+57xQr3tbGrsH/b7eIL7DS94hSN2ZNULLkeOtSlZmrJ3GkrSl/XWWz9QAtRkExGnC6Tm9VAVEOZllh7EKmVOYQqpzBsyTPCLjz9L2XNyabbLvwHNx5T2eS3WOUF3HwtKYb+aB0Jk/sWHns2ot3xEWp6GE77oVn3Thl4kfT9ASXbR3y1MGI1AQMjE8tdTXbOtPgSrhty11iKSee3OQtQe60rCxWDWtAF4NN3XvKQCod4FW2O4U05YQANQLuEvAj3Vayen7XYfCRabZ2DZYYuxjK45nNNFcmq79xcnK6GbE06CBbF+3+8Lt/rPHh3/q2vvAvcgA/cOwsvt99w9PHtv/k5+96nLuenSUQklo2ekFVulOq1te6AF/zfilr5NjPcs2NHP13q6AeYfBcmsgqk2dj2vIaaVUBdfE8S/IoMi/cgdsBuBwK5FXlSZW9VdbX6UcsdQ3/489aLA5qiMBz8kTakVWlHJzzwvFUUT5qsjEZVTcly9oliabd0Pyzd3T50mNtFkOfSGoGUuJnPZT5yIfCLszqeshsw7yM1mIycJtKpWfZXaOzKVT5LMcc7EqKjMHdSp6OAzxnb2mdWZCtJIhRaVuS4yhTr3k9Mh5kLbiNtKjsO8apIkk9vv4VIdOTR7nqmut/kvjxe8NB788LBv/Cfc/QaPg89Og8X35gI1MzNaZrrry0us/ievXNI1cmoye1/Pk6F8U6+luIEhzVzUtdUFkCu/raHfxy/JiqgFpLic4kiS4AnmtuUwSVnjYFuD2d11+MsrenYnw/4iN3ejx7uA7SQ0pJIEvPftzazL/g81YTVti8aK6tyJTEuJazJPG4ek+fb3hlhw98robRAQPpE0hRJH2UFMQiH4G8lslFlcnHEimFVFGgrFsVjBUO3LkFa7JJZVUWzxyT4nvLiv7O3RQqsqUK2HUYusRK2RwwLnOksAibD2NVEAu61s2t+fqbV1CNA6xe0GCHpUSpBQGB71NvesxOCWbrJqvhyBIsaq11Nw7cEUCzPpDL/yc7+DmYc6AX2jWzvXJpUrA2CCmKgfbrA1yWAC8SPTnArZuTnUkRT5VuiVcZDlRqbsfennZTq5ZXDX/x5RYLqwHUMvdE5Pbg80sUxFj9ZKV6YY1tV6Sksz1xUkWcaKbaiq9/TZ9P3TdksRcQKc0glZk9KTL3RpTN2LJcQXNgW1t2/ZiCzctknc6dFZU9l9lridPjogR5KnMdnp8rW5ltmFuGYkSXgy2cpdEu/XLGS8HoBT+4f8c5cWW7opHZ+L/UFKM3egPLtGrQqAeYbM64fvLpA2zaMLXr0194+MfvXzrL9kk3iXT0ilzL3iPgXQ/kIveA12HxAuRV3S3KBIkESTkMssrc+Ujk6uzvaoeLG+7OKLjznQ1y5lYV5l7D4Pm4iXLkhFYuc3n0mODA8RqGACF10ZxbVg+OToQa6XQRJdyq2d5qC19154TcUTHGBZtYzeU7I/ZsHrK4r45NfcfiqZMpWpQuTsmQ1UKvvEtGlqVvNmNzW/rkRpazvkdimwzobubkaG4iPy8Fy8ryQqsyL4gKw4sKe4sx9q4MVc0kT7kqgcyGSyV5gJtYpNQIFN2wzwY59+OzW255YvHC645pa1MGYbgp0OaN6WCRubY/slvZC0mLcokRYww9DvSxf2sksBydEDuqvfOxvjmLjwK7eFRko4CrPnj1nkktVQV3BeTZfvVeVhqas7fKXmsdo1TMZx5ocXChDn4pT7yKdTlywbJ2XMR6MsWsCTjzjOaoFo8izUWzEW+5pc/DzzXAeCSp0+Jemg35TEelUrFKFmZtbhtKt8RXxncUz2X2XGariszvbjKwNLYAfVrJSUhbOacml5q2PKcj7opYI0/WSJiCyUWWtyov3vJ3LNXdH6wN6A8GNOfkGyficFOc2GM67yyRws0C0V6+FUVZKzFidY1cXfmHXP8iGP9ZtXS0BLUYAXxe9pkHmsXrMWC7TGbuolSGueeglqDyGEKV+9OMAFuXA4KKEW/aZCBPnDxRMfVGxAP7FX/+5SaDoQ8NjZYCT4xKk/EAs/r91wU4Y/p7zDKs+uJxopload5225DP3dfnof0+tukxSAM8QXGhKSEqQCpBwhjIqwavCz6zC0w5Nk+l0+M5wFNZBpzutS3OTzrC5FWZVmXyUVlaSpScHHPQZnIkW4HWDzaz3y+OYVkGHIUuaZU3VWhBirUJnra0m67eOk5crXDOLtXbCzH16Pvrs/oaiZKPByv0WgnoXLbICqiL5xmwZZ6ml5WASDEyXFLrcoSyzjZh0moU6F7B1u6uMufE9yPiKOVz9zd47kQDPA8hFb6g2FyqGlyKKpNXCHzEUamyNtnQyvEJYHmZaMUujCLNFTsS3vTyHk8eqxMmPqn0GBiFnzL2WXIvnDEGd4925HMAKr/YDEYJVF7zIQVWOYbOpUsR+0iQ1iJMPqPFPS/PY2XwqChzKLKIS2z5/khQTEW2VKcIO6C7Y+gOqCsgc1sURomk37f0+pZhmDAcpOjHHroDz9MsLHaYm67RHxikEMTSZgPqnx/g5YkTI2y1PoOv1dxrpEqhYUURUBbTlaTT5KU0qViFOWMXAK+AW43OB3eMbQum1sVj+dzLgkutYgI/4pnjgs/f16A/8KHpIUVeOUjFHlwnizkWh1TDvoJ/Mg96vfLZcq6JKrp9Wq2IN90a8qm7hzx5JADtExrJMM0cFeN2tysziiDSnAGFm9VQTTlXgK4VpXSRjs3zVSXX3DaTIznQcw/cyFF5WZUrpQ4fw8C4hF3nfbEGd6PLYTnEVDCMJCt9nzvvfhz9wH6sSdGBWEAjqOmUWiAJI4tKRTmwBbJ67xywojhV1WV4HMxrAL+eTHke1hYFyKsSRRTpebfJFWtY2023ovDttXZ1FJ6qMHcO7uzuVeqfnT3ohhvprGsnsSmfvrfOPc/UoaZBuoZmL0+TV0HN2L36Yj2JUmHQwrYrmstFNoxSjgA9HHq8+uo+b3lFn2eP10gSDysUA6HxUorPJNKK9h25tNYyeXWcg1KlZWisyV4LpBFOh1f9/pzNrch0d87a4+e0jEmqgSeiMhTpeQlSrPHJCwDmpGDKXZTDyHJ2cYVhvIoUoKM0xkoYRIZe323USiVoqs4uYeyKEsWPxOiVl//uWADplqcKwKUoLMLR7TNEyQ450FXJ7GWavnJXJbjzXR2Kuy43Qc0B7VVAnTsnzjFxj0rF+F7ME8ckH72zBfggPYRQeEVyxxbFVaN+fi7PcjIQYwCjrElhrOiqWkKbutY9N4VWFel7azXveu2AL9w/5JHDbpJAbBT9VBR181KQpfBFsV5UzmTxWay1Tp6MAN2NSquyuZQSVbEzC5BX2Lwgpiy35CTL+ApdSo4R1n4h5h5/L/tPzru5ylDS0mpYmsMUwqzK9BP3DhFCYOIUlTgWz09Lno1aw97rBFAjunsN2KuloxXHgZKtq7ujVYPKUneXbsUIuFW+m0NeD55VvxUD8Etwj7B25TFvrM2lilIJnpcQpwl3PVTn6UN18DyQLrj0ha1Mjq0weHGRrtXg49CylSdF6WylRmSkujCVGJU5KqkmjDyu2jPk1Tc5Fh+kjsVD4TM0oNM8uMvqVCj1eNkr6T5AdWuYEevSglSV59Y4qWJdXOSmCpcsLgrJkh0TWyEz8hqZygo+AmY7SgzFsVt7MVQBXl2LhICab5hoGK7c0ycIEowR6OVl33GMjanrxC3rsmTQkq1z2WFLsI8HjFWWH2PvcWlSpuZFsTOakBV5UoB8tP6kWlVYADtnbZlPfqrq7wq4K0PxC/ekagfm8kS5qsGDZwUf/FyLMPZwVWeuLS1vTctLeEXF882PSeUsrS9R7CjQqzLFVHcVtutpcU0zkHzXm/p8+p4m+0+7iy81in6qXJVhKop5ggiLSLOgLh1dSWwO9AqDq8yBUNYFmNZm3nMW/1jpgC5NNl3LZufIVAAuK4/5ym0YZWxhR/DjkjlVgiwxN2Jq5PZh9rMcI1pbakHKZCug2ahjUlBHnvu3Gy/ZLP7ro0+cvdxCsZ9kPo6gsOUKcMlRHzr/HSEY96dVNcNY3Mvxvy7rmL+WZSay6oooqG4FqLKRCV6utfOAUtsRxySfAFUFt6cs2suzlmUxVdnQEGePEamM+MBfNvijz09CEICqoZSmoSx1ZbNxFBQNzl6lNa7MpFaPg6ScDMtIgJp/V1nJiOYXrZBkjb9lL6SSFmEN2zdFnF6QPPq0T5JNHTBZ03FePjAqHcUY84mxen5RuepEweajVtqYbh+TNkXroh29m3Wfi2yL8Gqt+vplDOMT0kY+c/b98n2Z+kPBwZXrNh3o3PJF/dFPdCePnUje3O1HTDR88j0TVc6mFZunuKrGdHVVa1cTPyM/rzJ3VbIUy3yZ1BkvlS19ZjsiT2QWVEpZShJV0d6q2KPHFkD31FpJUn1UKsbTMQfOSD78pQZu/opjb6e9S3BKUZFNoiw5GA80RfVFIUvGwGGqtSHlXMF8zmNq3OgEkypSlWnxVPPNr+vzybsa7D3lgYywQhKmHn0qRWsCRJqBNM0TPzlYK0xu1wafylZlSuWey5CM2Y0RReBpJZg1LtlokGnW1d1iZBUsJbBd+7sVTW+lW6WkESSJQsk+F23ovtmrn5nU8/OKbkfRCFx/Ys48pQU0JlXGmGA0qCqX57WuyfqgLp6P2UvjjQ7F5lJZ8FIEmhVg58FlDnKVM3hFlqjsuVIGpTN5ohOUTJz2VgmpSvjLe5vsPVhqbyGkS6gUHTSsOYFr7K5q3DKqTirPywbkco6JGEv4uM53k4M8S+FHseaKi0Pe+ooehz8cEKUKhCYVmqEQmatis97XTKLkzD3adFiwt/PlBcraokfRZlZmDm5lwQrrut1lDnj3eyaTKlW70BRgHJcoawPL5z2Gxc8rYM8y3NUd+QDixGPKampKoydbirCvaNUlnidLE78S3I0y9LgzMq6/RXk1ynEGrwCbMZ0mng/gllHnJO/HtAWLrwH2yOsyoMy1drHFiTTobK54Pjjf82KOnFX8z0+0GUoHboSudM1nK0ilgm70pJVp6Be6jW6TWHrh47PUSw2ezU1REmUUqdEkqUeQJvzo23v82V0NDp/RIGOQmth4DIRApRX7rmK5MQJy94FsIS8qHf8Z2FVVduQBpTVIK7DCYoQogG6EyDYjE+sCfV1wV95bLzteFvhV/g2DK521uM+RW4axYqXnkUoPHcaWKOsI0XlXjBIjDFtWgK0FczUgWA/oVAAtcgkyAvbR56OBZWX2R7FBElmnN9mQy5LFS7CbEtwZkAtQj/jdmTyR7rWnIzqR4b2fanP6QgDKyRMhZWkN5p9TVOy45zlRZbvxVwE6FU2a7TFZ3WbRJVtK9i6aIaQiTTRb50J+8Bu6/PIHfVZjN+rYCklolLMN0zIgIxWUtuEYyEccFkBWm8tdFaElA3S2N5OyTm5ImRdr5VagwAiLzFh97fkedVPWy5sUTI77G+PMLkVpr7pkU7ktjq/dNGA9GLpNR8ENxVGqwt5V+VFlccTYB8gvANZl+vWWpvVAPg7mcu9LCtYuxkVkd6lsUfSvCmDbEUDncqSQKCrNfjfJmNtlLXUQ8/FPB/zex9qExnPyRCikkPiCtU3F66TlSy1ZefN5IG4rKqG0Cqv6vNxcoJrdLFL4xs3rq+mEH35njwPHfd73l06LgyIVkqFxvZsyzc9TtQArP1m28jdLu9JpcEu+0ZhL+NgsJ1HR5jm4K4AuWbsEvMjZfV2ZItaAnJFjyhqMjeApL6M2LvivBYZmzaCnJzUmUbQbmsBXYwVD49q7FElrl5O1v/t8emuNlVT8TqWmekRrV2WKLTq9pSz1t6zIknFwlxZh1RZMKo8ua7m0DH/2pQbLYQ5uB3BPZuPh8hVkvIxYlsG4rOC5gHUF31V3oMrgVOqyS3mCm/FtLMaY0Tpx6aSKMZok1Uz4KW9/fZ9P3ttgsaucVDGKGE2/CO4z2UA+4beiv8flSgXkMrMMsVlKHmdBWlmuOPlFnxfnVUFucyuVasFVVhabEYKsZCtHthBfT5uPv66ei1QwGArmVxQJCt2oKYZ1TbPh4WlVXCUZT5fLWUUDUf0Dz7fEsD64C4mSg12WBTcFK1YYXGUJgqKrW9gxS60EdRloVsCtTCZByl3YdFWPZ+ztNRI+/eUaDz1dx+TaW2Y9lyKXJ2uHE60JkKpL7Fcl8Yw9C2usBMxoc3DJ5i6FL1G29MWT1EObhJuvjvi6G/v84Wd8UBEIiRWCyGgGQmQzZ6qp++pyUgG5dKNCisAzDz4hK8Jy4DQ2Ox6ZDs9LbAtgZ+fb2PHVupJ8yi44I6rAHi+pLQ9iFXfPh8MkEfT6Ai8QaGvcDwNP4PvlsMbRk7A+K61ZPta5ssabJKqgGGVBW9aBF7KkOguldEpKRyUHuSmylyrX3FV5km/cpNLsZ5k0kc49CbyYwyckH/x0i3Nd3+13Ld2gdyUod2wY+8xrpIkoNfd67L0GU5TsPeodj84wGdlAt1InrmT+6LY/2dhM+e6v63Hv0wGHz0sQMaAwSELh9tqRqft7ZaNB9WSXMskRuQOtqnrb0skQ9+jY2WaPObgLTS5A2NFyWVMcp7z4qkwcjtScjEli95ZlzWEV5bEUmfGTJq7BWgrQjRrEdWg3bHG1rdlx4nnIp3oVPa9Gyj7YehrcSZGxzUaLIvpqUysuwSEqzK3sGhYv5+mZEb1ddUy0SlAyRWe2oO/HhKnhdz7S5p7H6q63TWryUc1eob1Li7Jc7sfii8oxqK6EBcOMgXs0g1lWGVYdler2i2UZrWs3c2BXpKkhkRqVaF790ogfeleHn/sdnzCRLgNlJInwGOAScyI7+SMjjovPVb5WRYebLcpnyUBelNIW2ttJW5utyFUmH214KJ+bkZUvz7rmx63S6VPp0VyXMUZcH0sUJvQGCfVhit40ExPIhPmWIUrtSB14tdJtDaeL0edVNi9Ptl0DajG+tFcYu/q8uvd8OWSGksVFRZ5kmb414JamkCMqS+bIymslEzw/4c5HPD55T4Mw8qCuC+2thZs/riu6+4VKYkfiluK+ftMxleOaAzsv0q8WX1nFKHvbcuMqaRTKmmxQj+vArzcS3v7qAXfcM+ALjyhQMSBBSBI0/RFQ5WBeh8nH61SyWSTkbC4cmPKEoC2AnycI3TQ0IZx8oQp0WEN4ghLwVc87F8olrqsXYwZuW4I7NdDpJSysJFiVoAehJIzdv+jpzG4xY8slrEV5lcVHGkhfIMjMfq90H6r6exTYYg24q7P/KlKlmF9tR2VJMcA9LZ7LjLl1Bm7fi1npWT59b4P9Z2tOmghXEluwdxYHFLUnxcozHiBXteULsM1a8qkkVKrH3Jbj1sYSPy7YNIVlKIUiTVOk1MSh5tJNMV/3yh4P7fVZjbL0a7YLXiwUQ0rbsBgxsQ7I8+YCCVmBFVnCp+yVtdZmckRkrO1eG1sGtqYC9BLQVVan0OIjGntsFVxLELYgCmPdFih5ZaHvuV2q9UpP0+srjBH4vnXNpab0X6vW1RoWHwH5qAbPv1zVpK+6JXmRUpXV17K4KVm8AvJRaVLWZxQSRZZAdxdBOprQka5T3pDyvz5T5/c+0cKKXJo49nbaOxvJJkb9+XXlyUgQVAH5C7D3CEMy6oWXdeFZT+Q4wK103TdGYqQLOJUxxKmHVIYfflufQ2c8fu+TmjjJQJ7JmlBIN3eQEuSMOSu5BMktRLJmB0wWcAqK3s2c4aVwQHcxqK04KaLC6KUGLwPxCtgrGMpBT/myJAXKhJTDqi1G0EkJjZqk3ZDoup9iAkOj5gDh9m+xWdNrOd6rXBLWassRcI8vQbCGrUUFJEKuBfk4m8sKk5eBphkNMOW4/k4Lx0TLjL0z10TJGM+POXRO8sm7mvR6HtRdgsTtB1lJy4+3pVVdoOpqNfYcykTGV2fwCuiL+1iBkcmYXI4zuSxBnkqkdDMNW82Et93W53NfqXPobOaxOh+FVAgGI1FBLgXWZ3KVkZyyGdDzRUdU7ERZet65NCmclCwxVDpoo0xe7bccSRJWGP35SKIEts2mEVjiyNAfpvQHKXrbppReMybth/RDSRQLRJKLfWfs50mHNbfnkSZlsDnqmIy6KOsDWxSBXHW4YzW4NJn+NpVAs5QlBbiLbTdK/Z1v9611Qhgb7niwyZcer7vh4BX2lgKX2Mlr0CszR9bV39Wgcp0A86vdCjbPgb5ODGQqSZ8RrzyXKUaSCoVKDUYoklDz+usiXn/zgJOf9QiN0+EOiZCgCYXrvRQWhLEU2ju3L/OPJISbMEylnFZWQJ7hIwe0qQTjtsip2MLlIPPlgTH/uwT8OJ7WBbjNGzAsqbEkKcSJZbEDi31NEHroXbtmV86fWfncwjn5T+LEZJv+lNeyEfnVslaEj+ukqoaqMvV6jspoe1MJ7HImeDm5dK1EMRV5UmHvQmtXAklVAlsq16kj/YS7H/H5lfdPkBoNviq1t5DFOLaqNVgM1BGjvn2VvRl7zvOdnCqyK2xUzWDarDakcFKkrcgUNzdFSjPK5JlUEcYNC/L9lJ/63g77T2nuflhifJGxuAsiYqOyTd7HO45KsLuT6YBQaF5Z0eWilChOZ5d2XZm2L5OHNiNGmweWcnRKw4gVKMQLEkURkOdTcVNLFFuQPsaf+Fxr084Vddst23vz86uHk0T9kEnjcnsLW3EDcjavLtWZrioTMmMFUWPNCmU20hY/d6n26p6PrPG6qx06uSTRleBSVxk8S8FrWZUopTRxMwZjTi0JfuWDE9z7eDPrs/RBuZY0LQV1CTXp+jo9mY+vK8tkR2u5qx39z1cLL4vpW0XDtBg9PtW5hqriGo3mCCqyLiPkUWfKjoxSw8LsTEKgLQ895bMyyKP7DOTIYor4aN1M+R44hrclGkYYdPxadc+zy2VcehW/JEZWrerPzYipUfXk11/Z8iSUMRQM3qrX6S4tfvfBZ5/dr08vrJAawUTDMFWHMNbFdSyzK7T6FdZO7V+HwSuMXQ5htGPMbkr2zk9QobUpJYpYn72lLN0TWUiRKrjz97JSWOlqvVM/5YOfavPndzaxtZy5nXsiRFlUJccKq9YLKkfnvIgCJOstddX3iwTPCBtB0WFfZfFq4DnihdtCk9vxMRNCIY1BCI0cpLz9NQOeO+Lx7t/XREFSAThYPCLkCKSrTG6tO2mFRBFZ4kfYAhsmr0epaO7SIqTo+Klq8tGVXlRwVNHjOaNXV8fqQa0cx/xn3aFgZrbP5g0Dogj0kwdTBqHg4q0Jk7sVw9CVZuY1BVUtnX+I/J8u3YPyJIoxXV5orHV09+h7YwPVqyDP9qDJi6uqmyKpbM/GYjcwlZb7OlYetUqQKuVLDwe8/7MthqkubUGhQbhNTPOak2ph1chnZD17cJ07jIH9+dbaUo5Uy1SrdmFRcFUNOGVl1JsQyEyimOJRYYQhNZrAM3zvW3rc/6TPFx5vYnOAZ4UixgrCrDNeZAxc2JTSZs6JAznSuTtKZA6KsWXhVQbynBjlONDz41LptLdjxkSpGsQo3sYey+SPK2zTqryAdmyFay+B7gD03pMtklSw1EkZ9C1TbVV2xIwAcS14RyeEjoG8+js5qKtBZ2X6f7GRUZFMGQd7GUyWDG5HNXfO4rJiCebaWyYoHdMPBb/wBxMcOR1gPYXb0HY0a+mJ0vfOS2LVeuCt6u8RdhFV7L6gIB+3X0fS9lSLr+ya5Xmk+97mBVkSI3IWlwihEEYjo5SLtib8x+9f5f5/F9AdZggz5Sc3KML8C5pRLY60RccRWfqeQnuXdSjZqMOiBiVPn5eMnq10dvR4MnY8ESWAy/fGyrEFI2SjtKCuFDdvEFy/x7B11hJGoKcm57BCIeIeZy6soKSg2ch0IWOBlRwF+egc59EPt95FMTqfrnRLqs6JGAG5KYEuLUqU+zSqzN+WY25JcRFUs5U6Jknhtz7e4vF9tdLzzu9ZzYknbKUdbfQCf760/Og9r5SrBke2Auzq8/KtNXo0j9yoSpSKc5Kzt8jYXLjn7mdVFs9a3IRGGsv1l8f8s29c5b9/ZJIozT90CfZUKsIUd0WPg7wAsSj2bCoCTZnNc6l439KWNSnSUgH4aAd9wQEjsmQMU2NEKXCFY4aSfDwtaNYUm2cEm2ZbzM36RJFB/8T3v5Vmq8lTTz3Dl774+SITVLCrKAPCKtgLfcToVTgiS6ofjFGAl4me0dnP46wthWHUUckBbCrgrmYvM70tyzY0VUv5woMB7/tYi9WB5zI44vlqTirae00gN6a/12B8XIaso8vtyMOa99YGUNUEUJm2t7n2NrJ0WPLSWqFcVk/YLBmkSBNDu2b4gXf2ePTZgDseUNDI6DZHpaEAuRgDuRUCnUmUMqduM02eM7coalxyQFs7WjorRMnq63nfo0pgbN2rFONZkcmkSpOGkII4SWnNvpzNF13JYNBHN5s+zUZAu+XTbkoC3831Gx/JMD7cHNZq83HQj8iVXKI8D7BLy9AUYBZ5YFkB+eiuu+Mp+bRgc5mBXOqEfcc0//OjbQ4tetm+9w7Y7j7G3hVZsibAZD2gr41D8gOwrurOSXHMGixciaxstQpqp8NLuZIP6iw2r7ICkW3VbbP5JYV1KFzQKaRFxoY90wk/+k1djp3THDwtsLpyiWbiOUUSGjLQOy3uidw6LAFsyeq4M4YuvfFKQ3BFk4/kRCwjDD6qBsRaBs/kTvV6zEfayhSSxBLFhpWuYRBqUusTmxhdDxSBJ5lsSjbNQKthKtvolVV7+ZUznsSpXmHVTCZjvzO6OVF1NbAVCVSytsjrr0eY3IwkesrgsgrwshTWCxLOrQp+4ffbfPLOBtarJHQK50RUtPfoAMuR+X4jsquylGZfdm2SawzUlTfWK+sZLbyqMLmhaCzINucrspyubSwbhVxIF7fTmRGW1GQ6XLg6jQSNJw1vf82A1VDyk7+mOL8iIKgwOQKkJjFFQ22Zqs+TfsLtAlEEm9kxy5ncZD65zS3GseK6/NpZl6nHwc7Y7xQXT97KZyvHLaHTi1ntpUQJDCOLrvmCes0/N9Gyn79oZ/uN/V43GyKf13aUuni0fqBy/kbM+fK9Ul+N/v9iHWCPBJsjUmVsG2lpMi1uCnAXe6dnDoqUzu+OMPzlfU2++HDD6W6V2YJCFo8qA7cbIv9CFYOVwKYC7pKB1h6Xr5rRHE/TVzOZa8Dutv2TRTA3KlOMsMX8QGHzMQ4SY5UrzJISaSVpolHa8oYbh7z1FX3+6LOSKMn0mRSVJcWBPA8eBaVrYrMvq7KeTZWBGZNp8OyfKIAuqrPCs68+RhIjJLne8zHSdFn2vE7HkqYwCBMmJiYYRPbz2vfOGSvQm7ZezGMPfOyY1sH/mJre8MZouEQt0JWEjK1o6opAZ+xpztxZQFLIk+L1uCRhBNDrA3w0qCyALMxoQFn43SlKpGgVkwjDp+6q8+4/aHNqwatkK8vAUmTgHh2kObrfjOQFymOr5LxeYLQG0WvfqUoUqMoVUdHjo8GmQWRbqTuJIgqWH2VwY9wxdM6KIs3OSxwats/E/OT3dVjtS/78niZxmtNrvuQ6kKdGEmYRXZB/OUkhXUo97D6DJPuZyD6XyN2USm1Kpt0p9HgVR8/zfIRQ3UEqmr9TSBSkScIVl21iOIz/x5//xZ3Hfuj73uX26OkPHECiyM3JrgciA48trUDWX1rXnL5cg48khMZ22ZIVkIu1IC921BWlNCnfWw/cpTyRMkH7KSfnFe/7RJP9hwNo5nq7eh9l79zzVqIC3DF5sl6jdH52CqmyDnOXCsUW1LUm0cOo/0x16S3KZ6kEmBXQU9XibqxaUZAlJcIqjLEIoUiFcan80HD5npjvfUeXh5/xOTZfuZpN9qnXAbmRwrG4dCuKzr6/la4StQw2baG9qx64y6+UViGUuMjjkyrA1wPdSHInOxdaZX69TcHGYN1emRpg567L0F6d+VrIBbOXwA+LpST/a/mU2fG9ZcY/wLhcqW4d98IafNT7FqKsM6kyuZQluKXMJUl+d2OPlzqS3/ijNnc9XsuqBPNkTvZcOl2qK+w9UoZQSLLR2u9xOULldbUOfOQEvcCt0N0jAtyOuCdl8VUWYJLZbmPFV8bIrJZfYESVxQ1CuMDRHXdFmpFO2re85rqQf/4dHf7LH0yy3M81OJmYptAUqZGEuYIR2QWXWSJWgsqclTzDaSqlHdUAM89sisojGbuvAbcZOSwjx6qaM8hJSEvF1m3bue4lV9PtDkqAT81spDWx5Y7B/F/8ipxLftKkQ6zVRZS+3l4u6wF8xOVdo7nXavDCC5cO0EKMAjxfRUoWNyPMLfPAUjjmViplKCy/84kWv//xFt3Ucy1bIi+F1QVatRitGCwkihzT4NhRRs/WzdHAJ//ilnK7vr/ibbzgKndRchIZuVen0OadPyCMmw1pjPPgTTYU0xSSJcOLcHvaCOG0eZpYWl7MD72zy/lFxW/+UZtBLlGq+kBaQBfuismLr0TWWW9sEaOqrJYmT/RYyvrwXOKPxDW56n0eMqgC21SOibGieG0sxAk0Gk2eOrT0Kz/+w5ffcezEmRLg7cmtzO//vv5kUx6tqVWiYURq6iSJLIuvjCz2jSnZI1tG1ymlXW8fxCqwq1q7DDpNaQ9mTsoIsEWFuQtwl8+tNjx30OdP7mjQibMqQdaXJv4Ie5cFSqWDslaOiPGTUwF3VYvnNtdXIfBxfI+yVcFUFS0+Au5q6Ww2uiFzVHJ5IoULPoW1LvC0EmElItfjwpIkhlaQ8K1v6PH5B3yeOODmmpTRoqj4cmCQRLkUqcoVQBcltS4AzNncZsSQG42CUe2ds/fzATzP6lYHISXGSbLEQpQK+knCdJDw+KGTR298x3/oP/KJXywBDnAm+RG0bnDs1O1sqX2RbXMwCLOh6yYfvi4Rxi2DwsgKi+eFlXmYOZroKQBfSJYqU9uKJh91TkppkmbWYIqopORzWSJlgvJSnjri889+ZYqnDwZYT1JNxZfetyhrTeSo5y2eB9iMPY4HQaUDsF70vebFOidRFNJk5MTacS2+lslNxt6OdLKOd9zWgMbagt2tkIUOF8Iii6DTIiLLtZfEvOcnV/ihXxQ8fSgLTnJ0kiEsY3KLJMa5K7kmz/WcsqX3nVdG5tdHXpcisxz+GqnyQuA2gtS6stjYCCIjCA2EqWAQC+aaEf/Pt13KO974GnqDAVeOA3zbxq1I3cQbzqAGoFSfdlMRRh5x4hHFbncDmUKKIBUUB7UMnOzIqSxZfG1SZ22yp5Qjohpk5ppbmALcUqYIWWpv7aV0reS3P9HgiWcDUj3O2rpoBFUCPJwlqIs4oOKWsLaWfaTAqsriz2OZiOp/Xwjb6wVQlhGdOZrdFCNsJis14zLv3cy0r5sPmLG4tQiTlREYiRSSVFgwCoOzYXRiuP7KkH/6th4/9d89ukl2oEa2uy8DT4skIfu5cEVZ2ri/69bNks2L3SKqOjwLyPOs5vMFk3lHWZoxdpTC0Ah6qWCYGEwco6Sh0xMsrW6g3thOlPaLf6MAeLMh8Ov60LHYO3zvI609nc4Sr7p+yEsujhgMa2N1uQqyjJkwgnUUSmEprhdcjgK8wtqV4FJWJYnIZUn5mLsm2kvoG8H7Ptnko19sEioXRI5mK3OpIrLAMttXMmcaKtWLeXBZAfJIhq2K6QLwYuS9XI/zVYSKfZ7nkEuTCqtXtPhI4Gny/sj8/xEl+LPnIrMOZSZlUiMhO+6plZCxuZ8kfNPr++w9rnnfJ1r0YtYBua2AXBDnlqVxswh1pmhsxt75IiBFKVHsmDwRVqx7mEq97cAdGwgzcPfjFBX1edmlK7zymh6pnWXbFn14mNYPxZmDgjvr7vZffuHXmNz2qsOnFyc2/Mnnktve+8mUfScU113eZeucJUk1xihsVkpWnL71tGmlEaLatVNtRas2D5dsbZFqLLBcF9xJkbHsxYI/+Ismv/j7k5xf8txE+mIqbDmhKi+HDaQb5ONlDQ1KZIP1i2aNavPB2maEfACoa/Iox0sLkc9Ur255KBnZZyh/HGlgpnjtjp0Yeb9YOWS2vGcBXJF8q8xHrO4JX91yvWgAZ22LWP7z/DbRTnnZlRGdvuDZw9olgcZTjQWLuQvY5gEfYuRiH5mhVZB0vtqPxR/jya0qwDMmT6xgmAr6qYVwwI0Xz/P//tgi3/2GhFddexEvueLS3wrM/vdu331L8RFHQv5dG2tctaP1mVrLe2Jq4yT379vEez4xRXeQZsVWdvSj5/JCli5HlZFL689U7nkKvmTo8SSOrMiPvLZbFnUmSQn4muXP767zS+9tc25Zu87xwilRlUcHmtGkjs2q4fIa7/F+ywpYxi7gNee6+v46rP7VbuPzrausXk3NF574eCJoZJ7haCq/HPkmy+IsIzON7h5TU84cTyLF5inDf/iBDv/ktj7ONknAptlj9twm7rVJs9UcYgtDA6EVRBYS63YtTPId47LXbve4fL5L1nJmy3048/t40VlxTIxlqjHkR97W5bo9NeaX51jt1584u7TlM+eWZ0aOoaq++MiffJD93e0noji+qSnCl2oFQSPmLTcM8FSNOHH7wOTJBfITOVYzXtZxVFmbEeYu6kkECGkK5q72V7q0fDqivQv3JDAcOq355fdN8Pi+wDkmsiJPZDnjhKxTx5flDg25PaglWdtc2XonK6xa3WGi3JgWZIVpVfFcVn5W2VDrBRh8dCbjqO8+nkEdZezR4jdR/CzPGosRFs8ZvhooVy/g6vvWWCYmDfXAcv9THkvLstRslUaDCpUXtJdvPSlysU1Vfok1tnLO8sXgIzHK4tW/kYM9spJGY8g33xbiyzm6gxaNhv20Sp78rYtf8mMj/5dm7Pa2V+5CCMHpE4dZXFnlkj0CX7XphwFJokhTOWYL2pHvWzoopd4mc01y92Rcg4tKQJlnL0UG7qotKDNbUPmGw2c0/+k9k9z5aA2Cqlsyrr8d+JxzYstOHdbWehfB5HiiJ0ND8bxyvkYqCf+qlP1CbF5BRJHZrAadFdY22HLwe+6gVKzDQoMXAWiWAMrecMt+4QAALspJREFUy7W5sC7gFGVIiBlYXveyIT//z1b5mfdMcOSMD37GiYYyUFlzk6RkxC+cIeFl+sNlijOgYotWtjJaqYbno7iSwrr9XJVlSkA4nOArT8dcON/Gr81y5RV7MGbtMrgG4N/7bW9AShU98+hHWV2cZ3aqwWrPc6XBWTZz3PrLgV2m5vPHtVnL0cylKR5lnuh5AXBLkaI8w7ELmp/97Qk+ekeDSGQdwSKj4qo0kRJR2IJll/x4Key4DCnwO+aMjDCdKE9K4ahUf6/6/4ny/12TwFmD7lENWvyoIktKwVrd/qQScOaSJndVKkDPQe0kCpm74kBurMo8c0VqLDWd8q6vGZAa+JnfmuD4hcAFnfktT6uuuUglacbGWpYeuKJieZKPGbIjBWx5ybnIg1Jbko2WFl9B3VoMkrsemuGJOtz00jle/7VvipIk/eoA37RxFmTz323ZOnvlpnb/NWkCq70aAjsye0TK6sKTVxmOFlUVd0DKbOJn4ZZUwCyNc08K4DsZIiogVyJFacPxec1P/eYEH/9Cg0hmBeti/VoTyGxBWRmgWWHvdUdbVGVBBfTjCZ1xti6zuBWgV9G+vlEwksGssnUB9qpFuF5DcpEIqiZ/GGHv4nHEM8/fk4WsqZh6IBRJAp5O+dY3DdAKfvo3Jjk+74+ixljn9cn8spRg3fE3OOfDSve/eBmkJWRTtcpVqgA5mRtpR4+5zEyBXF4KLAsdQV/W2L1n25e3b9v6784vdL86wIVq8aUv3dGBLft7861XBWpFdft1WvWUehAT+KnTi9ZU9F4J6BzEeSQ/fi8lSAXkwiCFHQkyReW5EilCpZxZ0vyH35rg43c0iHLRLJ4P4I5Z83qT0Rkno/p2VOeWweUIu4+weB5/rL0AxgoW/ka38SRPFfCl21DNYFI4GbLIbJbSxIrRljchZFbqYRGy8p61WV5DITJ2TlOLJuWbvmZAksJP/uYUZ5c8xxbVmyEztVXl67t5iEkmV3IXRWbPSoUjskvDjqyUMpP7ohIvBZ6l8f9v78vD5Djqs9+q6u7pmdk59tSujpVWl2VZlg9Jvu+LM+AEYyA4kC9xAsGYQDgCSfji8PAEYwIESMxpjDEQ/GH4jIUJxgf4wIdsbEcWsi3rlrWytKf2mKOPqu+Pququ7pld7crCMvDV88zOTG9PT0/3279+6/1dDpB3CWzXw8IFbrhyYWnLw7+6e/yMsy4+NMABgHOK/oGD77n1zrZ1JWaduO5YB73dPmw7hCNCdXLT4FWW3IhAJM1oCYnVlpiepMBNwgS4KeMIbIJvrM/j1p8ry03S4E5m6Ziad5xA3OiON7XvhMHV1iMNYJJcLwVN9d2Hi+xGTCeKcZrWXuioQ8SRhkacBkm58xPWXFltCAlq/Uy4juRW544zFe8kYIHjzZdUsWWnjU/fWJBOHiZm8KMkbE3ywJTVthAxLcV04gwhHdAIaIeWpilA1iGY227j0uMJTjspeLoqRt4TiLYpvr3JuPDCCzB60A8vOOU40dOejarOMmJE9yW8kilwN1htngS3piQJcCsPpRlvosANi+Cuh7K45a4c6pQpCaIZJaERuPXEkhGZaRKBGyZoU4FUaX4dcfJGi52mHAYTSXo4ZwjsWCdOLEpqwhG4m7nuY3DHPTcRWe10I9U4ElFKhYLHsqHQza4EU74PBsEJnFDgLRdXcOHpVRCt74nwEI9Y7wu5lBIDAQSCIIAhDwoj3gTJZaGWD9Wz4IAXcAwM5+CR00TGQXjamRc1PbTWVMf8zW84C55Xu+Wh+3Yvz5B9+WLeQ9aVVtxioYoY07Qklqx0sgNtRk0UuNPWnCqubXJuqjg3sYCfPOjiI18s4pmdGan1NQO3SU0oojQ0i6QnlWJKmpJ0lEw9+TSMS2ICacaizBbfifcJZJN4jSjS0Gx7kgI5TC+oVFoI0lYcMpZIKSowrDpXrRoIoeAc8hxzCsACRYhVi3187v1j+DADfvpgDsp6zOBXSsMTGl7RyBAIoQm5oirxBFRGgqg7WCC/hxKAjoaYM6c0Weo69ZZs1p3uW5uP7p65glef/OKpa7qHVvYNYF7XGIr5KnKZOhw7UMUs42Rgc0IZAT0N7iZUpRm4GZG5lsQCbn8gi4/+RxHP7HSagFtbbMt4LadJWjlhMECN6SeRCWeNaalJCvARiOMPJKhN+kKYAbgTjowmgDcf0M4cGFY5vW7i/83bYUcZ+kY/TrPZrHYGhZxFjiDuURy7yMen3zuG159dkWF9/FBW3LDkkJY8MBxBkcVG7JqXIQUEvpCBVdWAYswnGKwx7Bhm2LhLoNjZN3Tn/Ru/2NPTMyVXmtKCA8DCpYtRmRzBg9s8dOTHsLjHQqVuR84ezhuvj2aTyjR1ORS4JS0Bbn8wi3/4zyJ+s81RjpzpJpXSS0Ijy52sm9iQZxlNjo33SIJZA9QEbzq6sNkgqecpwT0NhW10dpC4kmtqBendUyUUjBgVTuS8L+H9hDEJ5RScaQ4utXQidCQiAC7Pp1Cg1CIf8ThW9fn416vGIARwR2TJMYOhLLkwDYbeUXVsY4MeURRfhcaG9RCLe8awotfGihV9KBXL037btAAHm1Pf9mLl3Tfeu+YHtYOP5j9/1QjaCy4ma46sYgqoW1x8NuPbuqIvkUrCDYfO1LSEUMm5f/qQi499qYjNOw1wowktiXi3vNh0KKwFBWwFzIQ7HkbkYLS/aJAB5TNJ8e0kbKdz7sxkCjbtB40w2kj+jgCbzPyRqxID9yROTlYyog6OIzS26oRTCMojPs658duozOuETh7WFwFngBfi+D4fn756DFwA//1QFlM7f5qAXE0843MQtzcx70aBIKgLwOMArweYXx7BP18xgNNPWjM5TsN3V0RP/bAB/pst4B3lVY+97fXFsc9cvys/NDGBuW0+6r5SMQUBD6UsJOtDq8ObCJNtFjXY3HITxiEYwc8ecfHhLxTxzI605Y5L/8aqSZxPxhSwk9nxTVzakaNquoml8az+NF3e5FlvaFoLbqqJKc3biE+KL5JIYdHsNObaMOqnJCaeJJ0gAUzl6dRcHFDyYrSMRdGERHA5GdX75IU4bpGPz7xvDEIQ3PWwK9WS6UBuyFECQAhp+ONyoLH1FgB8KHBzDgQ+WvMh5rZ1Ye7Cy8as7NLHeDDGp/m26a+345Z2oqerONhTDi77+JUn+mXXQig4HMsHpbHwYwYCxYBoNtmM1RNTLdHxJoIR3Pt4Bn/3uSKe2TUNLTGtNo3d8bobsS4pJvl3E68lietyRHhEI9Cji8A8+CmQ6w0Yv3x2w7DC8SLS+D4NdKElQsNqK2BGgE9MOtM0pcmDE8RBWHEWV/Re6DIUio9zBu4RrFzo4/MfOIjz1tXAeDgDdUVJIZHyk7jOE8db3zUQerBpiP6RFjxz4Hx/zz5yGbVLgz6ZN+3hnRbghNnwJrdjzerevWes69u+7cU8vnkHwcBYAIuKRMne6OAaJyPBx2nSFW+63wnjEBbBXRsyuPozJWzZ5agoqGk4twa5cpXrybxFmiQRw9C6Scy1Y8lQwKQn0WtthZvwcr2SqaIgvU7a1CdxnXhuumIEZnPimOLn6XWEafk1aE2gmxPOtIwYn0c9yRQmuDlrBHlIITyC5b0+/uNDB3HhKTWwMFSkPQVsCAXsMNpD8y4lDaI+j1AdpgEScswrT+Cdr+nHuWsoCu3HbrfzS/Y+uWk3ctnpOdH0HBwAYxRf/8HPds2bU/yrX2487/7/+vEjsJ1hXHY2hefbMo0NsQteKz4a6tpy62AqYmjeOraEU+CeDRm8/7MlbNnjQDjTTSaNJGLlVGFQE0vjAOlKtqZiMlUxH9OCwwBs2npr72jDcnV6zItjuiEO9U8DqIn1xaHXScqGRrMo07XPRVRHJZLhlP5s5mASA+yJ6y9KflCvBUDqHMsX+Pj3vzuI930WuPfRrOTztnE0dJAeIRLooEoClFiJwZ0Mdqt4wPkn1/DRy0P4LLtpgj/+tqE9P95FSu87FHwPDXAr24fBkQraytl9xcyjD5Da1rODYAK7XsyDIANChOyiYAGgXJZSFwa4YZSBIArcREcFhtg9zPDw/7i45msFbNk1e3DHDp3GwpnJalqG9TYA3SAVGsujk0oaXhrLyPSgniFriWgKaXT4GJhuWKcxNrzRARSrI4iDsZByBgmiJpKxa5+rfj6UStYRlXRNg1wBkfgcKxb6+OIHD+Kfv8rx6FMudg8RwFF7GyVnqg0R2QhUGMeXERlvYlNZI7MFAuV8CHCGu544Fo614F+EqGy68t3XAbjupQMcADpac9i06VdbF87PfXHFimPOvvMXw6BhK47pDZBzPWScmI4IkURDLAsmU81YhmNLv43rbihg/UNZDIxaCtyHkgJpdOsnMFSThEIiYqXEpCJNwSzM3W3Kvc3lJvjSPHy2oJ4K6EnUkwTvSCR6G7mwMdg1n4/d95qTR4qMyqUlSNIUohq5yuJCFELwiK8DNNoNLSGmLbkQAK1zHDPfx5c+NIr1D2dx3Q1FPP+CI+sfQmnm2jIJBpA4k1efK4sADhPIqriTpQso1h1D0bdkKTq6z0IYTM74eM4I4ADg0XkInZbH8sWJ21b0VS+tVPdiogo4dgib85jXRSdYTSoplwnCRqYOczm29tv4xFeK+OHdOdRCZjhxtMu9MXhKSoVqpm+oJpp/R/1sImAbMScGaPXtT9OQhjhvjVKSeNdwcTSs9hKAneYtJjeNL0EDyPqCM0FtsgENaqItv6mkCENl0QqYLivBI66uy8RBUFDw6L3M3KexVVcgl3czDhqEmNMa4orXVJCxBf7l+hK29TtARu8cNbg5iy6cmIML1fcUyLuARSh6utfg9LUrbyu0dzwGZI88wE9euQj79u7d9SevPvNv83w7mxgZ+CPHqoESjqiurTDBoOucGFGBqqzatn4b13yliB/ek0MNTCZKNsSUpMFtqieIyq5FTh3EuneiQGYEzJiqAGjKoxMXQOoiSGJ4Kk4iXdzmmLJvTwOAU8tF4zp6oqjiACPLHTl3zPUSFhtRJ+I4CEvp4og1cllyUP1gAUAV8BSqeKemK7JcBAcBTVhyEgrVPBYQdSBjcVx2QRXgwDVfLWL7vkyyHIVSU0QUKW5M2FXcSd3nqAUu9g23rS+0X/C3L744sLunZ8GMAT6rMkw98+bhQP+G3WtOPn7TimVFlAsTMnzW4IRyB81UNd2ENYCVCbFzwMI/f7mIW+/KowZL9g8nqWwcmooMTIGbkthxRpto3g2u+Aawa0CLJsuSvzk9wTSXmxdIs4tlxqMpwkmjSpJ6n6AsMNYzKYpxdSQlw7S6ktbJG+XEyJ2vgrOEkcsZchapK/K1hdBncAVw+cVVXPM3Y1jY5QF1nctp5neqmBjEahYHUAuAF0c5WLYLK1eduOnuX27Y3dPTNRvIztyC69HZ2QU72/fpLHlicfXg828ZHqmj7mVAiEplMx06uiimFSBAiA1PZ/DlH7XgB3fn4REq09mbeiX1axbTEg1utdNRIBWSGnf83FwaTE8wG7Tw1MWQkA8bQJ96n1LDZwLyhGPHoBoRME3uH72Pi3Ga14RpvSOKYtxciaIn2jGny/ERoT2IJjVBzINAonBWARlODZV0QKHaZxMCTrl6T+LJahDCtkJcfkEFCAWu/2EBTz6XVY1pfYDIaMUQDFzOCqLwiom6AMuX0T5/0S1nn7b6009v2TtbuM62kB7gFhbDG/3ewdbeBX/x9PbSg/uHWlCt2QgCCp2GJOsKBrBoANv24CHAt36axaUfbsctd+fhMQuwbcQdznSCcMqaUzMENp6AxMXqBeLk3SaATgE5waNTyxIoNyhIfBHE3s8GzjEDIB9qlZm69U2LHDl6GsRxYgA9pY9H/grEzqImwVuIHD+6eq12AsXSYVTST8QBWqF2AHGGkFsIuQXft8FChrdcWMXtnxnCO183jjzxgNAHuA/wECFXyRtEwGECOUegt5PgghPYg209S/7imq/ddXD1sQtnDfBZW3AAyHa8Hc8992Rl0YorvK0bb8NkdRSdrRw5IfVwKRsGyLh11HiIm36Sxz99rYTRCUemmNEUv4bhco/4t7LaCh0a3InUs4hziyT3RqPsFyWFR4iLq3AlLgQ0Pss3zbg0mRG4X8pI0Az1LJpY9Qi80JPIeHm0LcOaJ1358jMEMGJalDotAKEqWsltUXBwZRmpnA2oWoWyigBXBe8pKOEQgkqvt5AVBTpaQlz77oOwqMBN64uYrFPAlRTHFzJay2FAMSswd24brnz7mzxKSeWk1a85rON3WAAHgOXLeyEE3zAxeuLpO557JAvUYFmyo1nGqcO169gxwHH7A3l86sYyRiczcaXXVN5kHCylAW6S4hjcLA3u1CMxmdT4i+JimlAQpCxyyrI3OHsarPoRUlBSQzRZEAGPmB7A5ERTqYcGrTEBr0sUixjogijAi1gBM3i53h4HBRXcmE/SaJorX1FQIVTrQhKFZ+jODlxQUMJAeAjOOUo5H5+4cgwZi2P9AwVsHSQQsFBlFLWQgosQ5WIGZ521rtrW1beB0lkTjWgcNsAJacfBsfo/9i27QBBv+wda6G63mK8h51aRzVax4VmBf7mhFfdtbEE9dORkkprVXjWYgQjUSAIbUI4cxO5b7Yo33fFp/pxQQdBc1mvg302M8XTgTV4XZMr1DvGPKdcwIwih0831/zTyzImmsU4UF6TWiRIGovX0Z8wi+iLuMw+1noi3KEsyN158XMS1yPXMQESOPlkiLi64yhByjpAzFNwAn3zXJC45o45rbgjx6GZZLGiQOwh8jlNO6q39yavP+veWFuefLHvmsmB6HP6lAaBUzHD/4N3XtLaVrxv1yl4oRuG6E9jwHPD3X27Dzx9rRZ23AHYOYFmAugDLRH3h416VcbJC5CBCLAXGvFsknDeRzY+sd4qmAAl+HYNYNEwkI6ARkvwckhfAVBVk06rKjIZIvmzmkhdTfC5STowdMWsXRjw8vfFIZYmXJdQTpNWTpLKim8+albTiZrRGO3GlrIQhQxhYCEILfuDADxx4fgY1LwsKFxev5bju3SM4bcUIiH8QrjWEM04pep3dndd94/u/usays9NGCx5qHLYF1+OOh4e9Qkv7tbv2zvNeeOHFT3B/jD70mxKe2FYCslnAsqReSkgSHOb5UrzQBGckBRIdHSiSwFb0I5kwnAiEaa6eIAV6INF518BLkmKL5PIpB8GUv3OqEenWQKREpf/fDOxJd73JzQlU/+0kvYliU2KrrwthRtvhsvZhZM2N32JGOOraP9CitU6CNuY2jccpnqhTwuEHHLZv49QVdXzpA6O4f9M48m6eL1u65BM98zOfmxh/wZvVgWwyXpIFB4C/fPu7MFYNq63ta25be8LZwraBjTsLIHYBrptBi22hxSYoWEALE8gzIMcAl8qHQ2WYa0ZZaUc9yxLHaEgYjqgJkgVjGmoJpo5x+qAfKt6kAaPpdabD8EwlkZmOlAY+/eYNa45Y4079OugZqEism9LJU6pKQ9ob4l5AoTDUFEERCiqtd8gQhAx+YMEPbPi+Dc9zUPMyqNSymKjkUa23YEUvQaVKsKjvPLF21fG3tbBK9ZS1f/OSD91LtuAAcP66xeg/sPT5M04S7+nsCr58y6+20coEQ9mVh0zm1zXm3sX5ePIEmHE8seVtBHdCJTEfmB7czaMAk+ukacd01roZxTkSI2YQSe7dsI6mD8SobgVhTDTTvNyw9CnXflJzV2Un1CbibDISWW5ddq1x8kCi82nKkonXEb2R9jUIPEzWCdo6z+d7Rte951Vdi5/fO7r/iBzLIwLwJUvWQYhHPOB1Nzz4P8O55d21zw8feBGuY8ELgHogKxyFXGZ5yxIARrVRpQWYZMsEeaIwPRQ1gQnolEeyGfAjlIsU556eeTTw7pmMwwF8CnRpJ07DMChJ4n1CNjS2aQI6kgslkEH0xFWvpukGoigM+TkVoKXeasdMxFLMfYGZ2Exj7q7a4IScwvcZPN/CsLDR3jEfF6/Lf/DS759zQ1t5c/imS9YexkFsHEcE4ABAyGnYtnNfeNWfvmHbmiVPjK//6c8L/fvHMFFVTC0gCNWsPSQS2JRD5ghCpi4RfVKQ1K6bgjullKSxQkxYNJ8XNlpt7Y5vpqikL5RDaOBHyqgnODKAiEQnlqEJyCQ6o/cm6I2d044iszteFHaRoEMkOkEERF1M6duA3ufY4xlPOmPrHXIC37dQqdkYHmPgpBPdSy4c71t64rYn/nFf6OaPO0JH7whwcHOUC1nkLG/96y465apLLjl/uLU1D4txOYGk0kPlMCnk20yoYvNGSQckQ1zpNOBWh7yBe083Ep8DGtDejNI0nPVo+SGI9mwQnpBQplhFJFdtUEeML0xn6yfrj5NpvyohuCRUFeO91BETy5H4DKI4lZBTBCFFEDJ4AYMfqCYKBKjWBTLZHE5Yc9pwqevUq3buDdYTlpvFgTv0OGIWHADa28sAgBf2j9x83jlnWu0F8emv33Jv567Nk2ixCRxLAjJUzYN0Pp4GGxFxcFpCAkTKcgNTUoupcDUd7256cTSbjE6xxakmnTPBuJjxP5KWW+vbMIKqmtGaKYzs9N9HYjWHRERcxbE0seQE2pEUX4X6bsE5VZNM1cQMAo4dIu9OYtTpRKnrkoElK9b+PUTl5o72zhns6OzGEbXgesyf04o5bcGNF1145scWLF4yUPEFLCaQd+XDtQGbxlOoqP9h4ymdFtzTRQGmt9Ns4UzPfbz9FKhTW58tVZ9yGPr0dP9PvE9o27GSkthjQ02ZbhMmuU9a6akseeOx0ndWIYAgpKjVLVSqNio1G35I4boejl05b6Bj3pkf27rbupHQjiN08JLjiFrw5I8s4+8+9b0bOM+H61bO++zk4Att5RbZYXi8KqMmQwH4oSqxm/gwYguKJLjpDAA9o/1reIFYF0dzqz6tt/OQXzSz9aazuIYPJ7UsqZZELxI/8tDa5bTKp2HJYVpycGnl1YcplSdTT8xZSMFDgomqjfGKDQKBuge0ti0fXtid+wilN3yLtLx3hgdp9mNGtYgOdzx8zw/xxje8eeP8rpY9XWXrEotMZjrLDqp1YM8IMFpnmOAEnpANhmQTIyNxmCTjTGjKgsN8bT43edAmz5Qm/6+bSUVO1ehZJxsbScfNlpG4bUn6PY3WjX8jUvtEmrw3fzNS75v39iTKEMRtTMzvM2N2Et9jOpKN3xPfufQVmLwMTNVKt6ahUYMxrtLgKF444GJHv4ODE0Bbx6LxcmvvVePjue+2L7jySHsNEuO3ZsH16O1iXJDsLWQOCxi3b8qSZ93a4zXc/pgDYVvgFoOgFnQnBlDZfg5oTGDQ9aObDiVnJUnEzKzW9HcDknjCTNY9gsOkDtHc1rT2zVYmxudEs+OQPo6GVkJSikrDrTW1JaHpiFEOWzcMYyEcK8TcziH84qkq7nqsHeedsqxGnblX1oLSDw+M1l6SG34m48ifkSbjgV/8EIvmzGdPbd986bPbd37n8ae2u8t7PXhiEjf9rIQXx4uAbYNQigwFchTIMCE7olHpyTStdjPYmhPSRIaP0UTK3Fai6ZTRVEqvqy2abhUoSx+SaHvaKutl8kHVZ+P2glS1FmT6O6i5jfQ+6P0UxnvRZHmysZdej0XvVbMvIsBY/J6oXEezaGrcgNcohR21pmnQFKPYLxk8JeJEchbCYhwWk+0dXcfH6KSHG3+WRc0vYXGXAM0sqVl23xUhP/42QvaEf/5nb/6tY++3MslMj7PPfxN+9MimkK0gP/L54nesW3VC5Y9Oz+Dc1R4KjgcEPhAGEJwjMJQUptpWMNWCJJGKpo95VOEp7XI2roZUcJF5UaQNNNLLEpLky3G0ZjCMYKqEPNjkN4tDbaiB2sUlsU05VCteWscOlbbNuUEtldW2LNmgd9IP8MunWvDjezvB2NrKmpVL3/HqP979oxOP/fXLAm7gt8zBzfGzH9+Os45/Oz7wnrs2t9ordwhSuejG/x53H9hcgCAWMvBV7WiGDJPdtByVWR218dMnAgagReTHbNSySapQT4pvJrlubImTvJY0vKaJ5aTJuvGzDjJrxsGbtVCZiltPtU/peUn825L8O35OdnXWlQgSJbBJHIYMMzYlqnxFo/gUzestFsJmAdyMB0p9gFO4tuyPWRHLDubyi951+Zs333L5a9ZgzenvfLlg9/IBHADuWP8D/PmbrsIHv9e6aczr7p/wl5xTrQa5Rd2jeP0ZA+g/QDBRz8C1CfKWlBMdJrsSU6qBLS22lBZVNwAYfJMYEx9o7o4EqJJF7zUoSMM60fIomtfoQtwU4EkQy9DbqQFODgfgaP4+fbGa4G4KcCoSD0KNRPFUBQIgjh0JOUUYUlmyTUmEhAjYVgg342F0vIb/uttBpZZFIb8Ip61ZN3Thqe3vf+1rx7/rZXrxjive+nJC7rc/yUyPvtV/BQD4+oHRb1u2ZT3w4CPXksr6zjNX70Ehy/H5/1OATRhcC8ha0oITIhNbfQLwUIATWRo4FLGGDkguK4vWqEmq+p/KuGocBuVokADV7ULToRnNMfHSAglnxIAS/Cx+3Zjt03yHzN9j8m3dmNe04jIoCjJeBRLQMjpQN64CLCZL94W2D9sK8J27M/jst7vxhvO78Pd/fclAb/dpH3WD4NuEtL6EI3P442UHuB7dXWXwoPLNS19zJhnY631KTAx3dhf7QTlHzgLyjkA+IwEuBOAFAALZAkMXkAyFrB/NuboIiO7JI6s06a5jEKK5M0IFoRuGKunCN9UxFRMiyDRAbBLQdCjQJr4PM+T5kVIS1xzUjk4d9x3FgqezcAjkD49KWiPVgVrWkYwdp0q74jKrJwgpPI/BCyTgbYtDCCDj+CDg2LHfQuucHpxz1kUDC5ac9bHxSfHNcqnw8oLLGEcN4ABArRzCYPyG9rmnB9VR//NO9vZWZlHkbY5STqDFJbAYQRAKTNYEQh6XG/M5UA2lhs6FKsBJBWzlvqaEgBsdEZrGUaf4awLXKXCmIwob/DEpQM/GSxp9abPX6SEQpZpFu6RATQx50MyxTIVMpWhOXMqaMVmBTCsuckIpe+OERDb/C0OCmscwUbUQhAQ2EwhCAscOEIQ2+hYuwOqTLxl5w6vWfliA31QuHdnYktmOowpwAGBWAULUb86Uzhpun7N7yRV/3HLdxg2P2uU8Q1vJhm1RVGshQh5gsi4BG3CCSkgwHgCB0FkiBI4gcPUki0vrxKcLATCXNXBdEq9L4nWmGglAzxrdM/+MAECM5Mk4Sz5pvWW2jtE4NhWpIn9/LCEyymEpkDNVR1ICWk7TQhVHAgA1j2Fw1EalRuDYQLUOENiYt/BV/uoV1kfWnLxmm+3k7igXjzq8jj7AAYCQDH/oiefXn7T2nU6h8EzluB7r+p3bf0Na8yHtaAX2DfnYuV+g5ktr7XNgrMIRenUIEUI4FsBs1CiDAFFeUALGDWuX+EIYsphWO+L/mRYOswU3oKKpyTRrGPsRHQM0t+KH+l7NRtSdSydByJJohqMmzcUbnDMS3Lblg7EAjuXDcWSTkUo1B9+3QQiQcULksnXsOQD0H6BoKxIsnJfnS1esEzzT9943vqbvW5Oje72W4sqXEUFTj1cEwAHgjJOXYdOmzd7yvq6bqfB+Ob8zeHPJfeGTNp7D4zsYtg21IEMpcrZAdznAhacOojU7geEJ4J7HWrBnpAUi48KDjRohsBUH5yI56TJDZvV7jS2tOCS072n2WW43CeYZR+8ZI03504/pdiCKKBRyIk6Y2WQqvsClvRbJCzuSCwUYDaOyH9lsDftHfdxzn4PBCQuFDMEJiyxkHIqcW0exZQydnQQ/ebSItcf2YkVx7v9u71z8Ayszd8/ePWPe/N5XBriBl8nRM9OxatVKLF3SV+0uDW55pv+Ka09bU/zEzrFF4d79RVx27hiE5aGQBdYts/CXF7n42J9SfPHqSXz0ikHML40Bfg1chPBUmzpuRtYBUS6vKa1pua9RZsPMgZq6iMzlTV4mRsOdwcw4muL7E04tHdEnYtWDJ+qFx9nxOqcz+iooeTCiJgEymToOjPm49jsFXP2FBfjkTYvxrTvm4bHNrRifdBDwKr5/r41lc936W19fHrTKCz5x5VvXXnv/hr1bOuf0Vuf3Lj8KyJl6vKw6+EzHV75+C/775m6R6br6l+2dt7pzWoI55dxQ7uFNvj2vZGH5AhetRRvZjEDG5jh9VQXM9rFhk4ta4ADMgk2JLDWhkiosql8bDybd56Z7nukgKqS1ZtI48dQ8nRBjHRJx+HTQlRmIlShWRJtr89od36CNA9GLeFIb33YSAVAkttKU6tLEAGMi4twW47CtAJmMB8+v4zPfyeH6H3dBOEV0FSwsbKVocR2UCwKdbePY8Owi5Asn3Ovknj9lsHLs/Xc9tj/4h/defrRh03S8YihKejgdV+HA4Bhcl/1TLpf5eNeCP/nP3nn3rVo6Jzi1kBu3shkfFhOo+w7y3MU5q+souz5G6yG4ENKNrNpraPNJ0iAynSAqViTtQIk+CDQLzVABUAlJo1FOmUKLNt+bwETqa5sOtU3dC5NA5kjKOt1yf3Tvy7iWiUDc0EpLhSZN4RiuCNy3MQ+OPDKWhSAQmKhyDIzUUfHaAztjP/y/rvhj3tm54tfAW2rv6iwebahMO16xAAeAro4ioHKR77jjjne/762nFkRY+ZojdlxOsJk+319DX7eDnJtDrR7IVnMKFLrNkcm9owx9EnspowArSpJWFWgQqVOKWxwyEGnQMMqiIQX81DAmr/GdoXk5Z9MhY+6S2eGBCPmbNMj1tjgh4ATgVDebir9efpeOPYm/j2Vs2E4G5azAvI5J2G4ebV29vK176a2jYeGva/uGx1etLB1teMxovKIBbo7Xve51GBrYNU5Z7mpen7f1vkeCVU9v8y6dnNiBllUctsVALQcgNgRI1Co6jn5L0wBFTZikJcygAiAkAq8ZyKV15tjRIl/ERS1FFEpgtuaYapCUtTapRdRbCIgaakWWXn0m2r+okL0ErC5CT4hM8KZEdfajBj+H3EfdP0mAIAwt8MBC3WfIMIGVHR7++m3zMVhvva1vwdmbTlw+9wtjk7XxFcf0HW04zHj8zgAcANo7FwLA4JNPv/DxZSuvXNjZuQ3Ue/bSEPfisecOYjLMI5exUA04/JDAoySqmhpz7PhZRisS9ZokqscJQBaHiiRnYUzQSPQ/XXVVxChXdUriyS0wdfpZWmdPVAwgUG3Qk1bdjI4UUODVYQUUqpZ3/AWUApRThFyA8biADwHAWIhsxgcXQKWWA0LguAUTqFYX4NJXr8MJxx9z2zErl79f1CZ20WzP0YbArMds3RGvmDE+NgJC7aUTI8+vzmUG/vbam7eec9cvdsLiEzjumIN4dAvB83vb0JMHyhmOrKNyQS3AYgS2JYvdWkx6SxmL1RNNNbjQNVx0wm08dPBUIv6bJuO+mXpQSsCYfFhUfpee5LLoohPGxFd1i6PmJFMk7iC6eL0MglJd0NSlySjALAGbyVxY2+KwLf0cwnUkqPPZOtqKE9i+v4LHnilgeU8R87oz4G4fNvafcf/CrsIXTlzVt9Hzgq0dHe1H+5Qf1vidsuDmKBRbAWBrPRBbGcOmclu255qrT/jq5MjzSxe23cOWzRvEx28sgRIGRhWwrdhia2AyppYzCUaARMBGKLvhRD0mDcqjwo+ggzZ0mz7ZMQHKumr/oTFJ1SMlfms1JVJMqIjUFWpYcRgcn4fy+4IwjtEB5O+z1H5QIieZYahVHgo/FHBUMR7bCvDdux08umkOPvhnp4bHzV+2dW778LtWrztrH4Atsy569Aobv7MA1yNjEQDYMjg4tIVz/qraeG5eZ/uKW1+o3F6c3xXm7WACFgMcC8jYjWGqFqNwLALbkg2XZOSigB8IcC4iChBbcZLky1RE1jRq8ATFz7X+PIUnM+1kSkb3qQeT1jzOskHs1IHUvYMA8AL5GkQ2ieaWmjAyAosLcAL4PkUYyo04Vgjfp6j6HVi0cP7ka1/9prGCSy4rtPXurVC2q/A7DuzoGB/tHTiSQwgOaQcHS09s3HHa/iHr679+akuwefNzbV51uJC1Beo+R7XOYVkUeZcil6FwMxQZh8KypN8rDAVqXohKjaNS5fAU2IEkP2bRRDXm8TSiIDE9kRSIwmJU3UUQ3TkinZ7F9MSisVbNjJQ0k4dzAdQ9iskqw0SVoFaX9R8BuV3XAbIZjpasQD4bgBKOSo3BDymKLQIL5raMz+lZMlzqOMYaHMNf2dljHumdWzoYhuCW9fsDi995C24O1cKPb9vRP9LZvuhOYGz5xz9za/3pe6790OOPP/5ne/fs8sNgZMVzu2vugUEPOQewLQo3w5DLMjjKwvuBBNJEhaPmCXiBpChxPyCohhRKb+YiKkUshAwrjSQ4w5saWfLUXSQqjw5jkqlzKxmiUNY4blvtDwGqdYpqHZiY5AhCAUIJHJsgDKVjKevI/MgANgYGW2rlltKz7T299rLVJ92889fv+rfWni9n5vWUaoJPckLKR/sUHvHxewVwPZb0zQWkGlzZsnUnLMu6zmLsuldf0MfaWlde/+SWyvIHH953VlA7wFw7RClPkHN9ZDMEFpNWvF4UCHgdv9nNQADkHAFHcXUOyDgPBXJKZBcyMzSXCwHC5SRUJKpgyhGDWyULw9C6SZwkbTEBi/HIcluMI+OEyGYCCCGwrd/FC/steL5S/oW8G7SVs8i6Niwnh66eUuhZPQ+O2eUt3Ku+hxIeMiuLRWu/KYqtCytH+3z9Nsfvz71ohmNgcBQZx2kdHBr613vvvdcZGOgPF87Nnlxu8df4tQGIcBxuxsN4jcG2J3D9HQ42bsmjt0zQmhdglMAPpOvQZgSuAzi25PBMZdIDsaJiWxS2RWDZFDajsCwCm8lJr2MDlspaMikIowKOLZBxOFwnhGNLTdILKCzG0Vqoo6dzBBueF/jG/y3AoQ6GDnK4DOhsa0Hv/E6UC/avS/nwiSWL57PTzzjXK5Xb/sH3vJFMtny0T8HLOv7gAJ4e2569DwA5B6J+SeCPX0b4xDET1RF8b/1OnL6CICT9+OodArv2lLFyHkMxb2P7AIdXFyhlBQo5gqwjaYHFJE0JlSfRYgSOLfm9YzNYFo0UHccGXEcg4wC2JeLPCcnFMzZH3g1RyPso5uuo1gl27isi7/romzuErS8O46Y7O1HKdOHcNQH6qyuQZXm0l3PPtZZbbs1lnZ8Lgfvf8NrzjvYhPqrj95KizGYsWXEuANxfrQzfD+ABAn/Jnn0H+N6h2znc7r7TVp/4Uc/agp8/2oZ2axi9HcNYunQQ3/hxCyhcFLJKqWCyry0XBOMVjlAIZDPSQmsdnCp5LwwBoSaYWYcj53KEnGBwlCHkArYl3USuI+A6deSz+/Gtn7uojWdw9po25Fu7seOZGs5Ydyw6MmPXnrysf8dFS86mjt1BXdfaBuDO7s62o31oXxHjDx7gemRzbQBwp34/fnAQhLpl4e98uHc+wfEHc/7Jy1Z/YF6Hf7GdGUG23cGGR59GyZ5AS94CJdJaF3M+yuUB3PekjY48g8Ms5LMEDpNcfKLKo6qrWQfIZjy0Fsfxy6cshEE75rS7IFTA50A9CJHJ5dG9+EycfEoBeZbDgi77rnxx6PPz54b24r4TcMIxc++fqNRHe7pn1+L6D2X8f4BPMQqlDgAYBXA7AAwN7ocAnnWYP0fA4xecGWL7lp2wQw8515JVVIPQv/iCddcMjO59/UgQ+l0FF12tDOWijVIeCDnHi0MhwhAo5i20Fgm62+tobx1Cz1DRpqTnJ7XRTddQatsCqj+llUdL2zqcd3oLqGA071r7hcCOd1zefbQP0e/E+IPn4Edy9O96GJSQOdt2bSv99OGa6Czk0FliKLZYKLUIhKFA/0CIIAQKeQvlFoLOVg/tbYN44KkycbNLDgJi/xtfe8bR/im/N+P/AcEETUDRZEvMAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE2OjU2OjU4KzAwOjAweUyHNAAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNjo1Njo1OCswMDowMAgRP4gAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 36950737
{'hecke_orbit_code': 13511348671480018, 'n': 1, 'trace_an': 2}
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id: 36950738
{'hecke_orbit_code': 13511348671480018, 'n': 2, 'trace_an': 1}
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id: 36950739
{'hecke_orbit_code': 13511348671480018, 'n': 3, 'trace_an': 1}
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id: 36950740
{'hecke_orbit_code': 13511348671480018, 'n': 4, 'trace_an': -1}
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id: 36950741
{'hecke_orbit_code': 13511348671480018, 'n': 5, 'trace_an': 1}
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id: 36950742
{'hecke_orbit_code': 13511348671480018, 'n': 6, 'trace_an': 2}
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id: 36950743
{'hecke_orbit_code': 13511348671480018, 'n': 7, 'trace_an': 4}
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id: 36950744
{'hecke_orbit_code': 13511348671480018, 'n': 8, 'trace_an': -2}
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id: 36950745
{'hecke_orbit_code': 13511348671480018, 'n': 9, 'trace_an': -1}
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id: 36950746
{'hecke_orbit_code': 13511348671480018, 'n': 10, 'trace_an': -1}
-
id: 36950747
{'hecke_orbit_code': 13511348671480018, 'n': 11, 'trace_an': 1}
-
id: 36950748
{'hecke_orbit_code': 13511348671480018, 'n': 12, 'trace_an': 1}
-
id: 36950749
{'hecke_orbit_code': 13511348671480018, 'n': 13, 'trace_an': 2}
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id: 36950750
{'hecke_orbit_code': 13511348671480018, 'n': 14, 'trace_an': -1}
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id: 36950751
{'hecke_orbit_code': 13511348671480018, 'n': 15, 'trace_an': 2}
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id: 36950752
{'hecke_orbit_code': 13511348671480018, 'n': 16, 'trace_an': -1}
-
id: 36950753
{'hecke_orbit_code': 13511348671480018, 'n': 17, 'trace_an': 0}
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id: 36950754
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