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mf_newforms • Show schema
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{'Nk2': 2664, 'analytic_conductor': 5.318036774617274, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 37, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [666, 3, [371, 631], [3, 2]], 'cm_discs': [], 'conrey_index': 343, 'dim': 4, 'field_disc': 1089, 'field_disc_factorization': [[3, 2], [11, 2]], 'field_poly': [9, -3, -2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [64, 8, 9, -1, 1]], [7, [36, -18, 15, 3, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021941395161754, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 37, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '666.2.f.g', 'level': 666, '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, 3, 37], 'level_radical': 222, 'minimal_twist': '222.2.e.c', 'nf_label': '4.0.1089.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\beta _{1})q^{2}-\\beta _{1}q^{4}+(\\beta _{1}-\\beta _{3})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '666.2.f', 'trace_display': [-2, 0, 1, -3], 'trace_hash': 341939195638520706, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.809', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '54.026', 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2664, 'analytic_conductor': 5.318036774617274, 'char_conductor': 37, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [666, 3, [371, 631], [3, 2]], 'conrey_index': 343, 'cusp_dim': 212, 'dim': 30, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 343630938778, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 4, 4, 6], 'label': '666.2.f', 'level': 666, '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, 3, 37], 'level_radical': 222, 'mf_dim': 244, 'mf_new_dim': 30, 'num_forms': 10, 'prim_orbit_index': 3, 'relative_dim': 15, 'sturm_bound': 228, 'trace_bound': 5, 'trace_display': [-1, 0, 5, 0], 'traces': [30, -1, 0, -15, 5, 0, 0, 2, 0, 2, -8, 0, -2, 8, 0, -15, -3, 0, 12, 5, 0, 8, -24, 0, -24, -4, 0, 0, 6, 0, 40, -1, 0, -9, 4, 0, -23, -16, 0, -1, -11, 0, -16, 4, 0, 0, 16, 0, -27, 12, 0, -2, -2, 0, -4, -4, 0, 11, 16, 0, -21, 0, 0, 30, 2, 0, -8, 6, 0, -16, -12, 0, -4, -2, 0, 12, 52, 0, 4, -10, 0, -38, 40, 0, 54, 32, 0, -16, 5, 0, 28, 12, 0, -12, -68, 0, -46, -9, 0, 48, -26, 0, -8, 2, 0, -22, -12, 0, -37, -96, 0, 0, -30, 0, 64, -3, 0, -20, 8, 0, -10, -58, 0, -20, 18, 0, 4, -1, 0, 30, 60, 0, -4, 0, 0, -9, 78, 0, 4, -8, 0, 0, 0, 0, -19, 2, 0, 13, -90, 0, -16, 8, 0, 40, 48, 0, -5, 48, 0, -1, 8, 0, 28, -11, 0, -20, -56, 0, 27, 3, 0, 8, -7, 0, 112, 4, 0, 27, 16, 0, 7, 32, 0, 0, 97, 0, 72, -8, 0, 24, 24, 0, 130, 33, 0, 54, 5, 0, -72, 12, 0, 11, -44, 0, -51, 16, 0, 4, -24, 0, -104, 4, 0, -16, -8, 0, 24, 53, 0, -4, -60, 0, 96, -4, 0, -18, 24, 0, -73, 128, 0, -22, -58, 0, -16, -32, 0, -60, 0, 0, 10, 11, 0, -21, -226, 0, -32, 0, 0, -51, 48, 0, -72, -12, 0, -15, 117, 0, 16, -4, 0, 16, -56, 0, -196, 68, 0, -8, 28, 0, 4, -3, 0, 15, -56, 0, 131, -8, 0, -16, 5, 0, -100, -12, 0, 80, -4, 0, -12, 2, 0, 2, 1, 0, 40, 7, 0, -13, 132, 0, -40, -192, 0, -24, 51, 0, -104, 52, 0, 168, -48, 0, -37, 29, 0, 4, -3, 0, 104, 5, 0, -56, -160, 0, -104, -32, 0, 19, 36, 0, 28, -80, 0, 24, -76, 0, 27, -47, 0, -27, -32, 0, -144, -64, 0, -9, -80, 0, 59, -32, 0, 8, 61, 0, 156, -10, 0, 16, 168, 0, 13, -50, 0, -56, -38, 0, -32, 12, 0, -117, 8, 0, 3, 44, 0, 24, 62, 0, -36, 136, 0, -88, 112, 0, -4, -31, 0, 23, -31, 0, 48, -9, 0, 15, -16, 0, -30, 64, 0, -24, 12, 0, 52, 13, 0, 200, 80, 0, -29, -53, 0, 4, 88, 0, 64, 2, 0, 160, 40, 0, 74, 20, 0, -22, -168, 0, -148, -12, 0, -40, -72, 0, -166, 8, 0, 74, 44, 0, -56, 48, 0, 78, 8, 0, -106, -80, 0, 0, -10, 0, 16, 60, 0, -128, 160, 0, -57, -34, 0, 64, 22, 0, 156, -3, 0, -25, -224, 0, 96, 56, 0, -20, 120, 0, -80, -4, 0, 0, 76, 0, -42, -68, 0, 5, -49, 0, 176, 29, 0, 59, 112, 0, 129, 0, 0, -20, -40, 0, -28, -9, 0, -92, 36, 0, 209, 20, 0, -8, -19, 0, -64, 2, 0, -45, -36, 0, 0, 28, 0, 30, 146, 0, -20, -120, 0, -56, 40, 0, -2, 118, 0, 8, -102, 0, 16, 0, 0, -58, -28, 0, 298, 8, 0, 18, -78, 0, -184, -39, 0, 32, -12, 0, -96, -170, 0, -8, -95, 0, -44, 4, 0, 7, -136, 0, 68, -152, 0, 0, -154, 0, -84, 0, 0, -144, 112, 0, -70, 0, 0, -19, 88, 0, -40, -4, 0, 130, 48, 0, 160, -52, 0, 10, -90, 0, -120, 45, 0, 16, 0, 0, -113, 176, 0, -16, 57, 0, 128, 8, 0, -43, -80, 0, -57, -20, 0, -20, 22, 0, 136, 48, 0, 48, -136, 0, -213, 117, 0, 10, 114, 0, 128, -24, 0, -61, 128, 0, -20, 8, 0, 2, -87, 0, 176, 8, 0, 108, -120, 0, 40, 84, 0, -56, 49, 0, 168, 22, 0, 136, 12, 0, 59, 104, 0, -20, 88, 0, 24, -56, 0, -64, -8, 0, -106, 230, 0, -54, 126, 0, 44, -6, 0, 32, -20, 0, -83, 16, 0, 8, -344, 0, -64, 14, 0, -28, 328, 0, 126, -51, 0, -56, 202, 0, 8, -8, 0, -1, -128, 0, 140, 96, 0, 27, 96, 0, -72, -8, 0, -16, -88, 0, 104, 19, 0, 7, 52, 0, 132, 32, 0, -268, -28, 0, 14, 64, 0, 0, -112, 0, -56, 10, 0, 44, 84, 0, 85, -330, 0, -144, 28, 0, 8, -8, 0, -236, -188, 0, 27, 64, 0, 24, 1, 0, -176, -12, 0, 48, -88, 0, -132, -124, 0, -65, 49, 0, -132, -66, 0, 10, 40, 0, -12, -24, 0, -27, -30, 0, -192, -10, 0, -52, -296, 0, 158, -15, 0, 36, -50, 0, -108, -24, 0, 6, -80, 0, 152, -128, 0, -22, -30, 0, 56, -44, 0, -96, 64, 0, -28, 53, 0, 102, -2, 0, 72, -32, 0, -72, 144, 0, -178, -88, 0, -2, -55, 0, -68, -24, 0, 0, -36, 0, -176, 173, 0, 52, -22, 0, 184, -2, 0, 168, 120, 0, -17, -80, 0, 8, 78, 0, 112, -8, 0, 168, 8, 0, -306, 17, 0, 24, -144, 0, -28, 53, 0, 152, -72, 0, -286, 144, 0, 8, 93, 0, -136, 30, 0, 4, 40, 0, 544, -149, 0, -48, 0, 0, 152, 8, 0, -60, 216, 0, -42, -8, 0, -18, -57, 0, 52, 24, 0, 0, 136, 0, 52, -42, 0, -73, 392, 0, 16, -64, 0, -70, 24, 0, -60, -80, 0, 11, -15, 0, -584, 29, 0, 32, 304, 0, 43, 40, 0, -16, 117, 0, 260, 16, 0, 12, -32, 0, -80, 64, 0, 120, -74, 0, 32, 0, 0, -88, -32, 0, -74, -26, 0, 10, 43, 0, -12, -22, 0, -26, 64, 0, -136, 176, 0, 42, 2, 0, 0, 113, 0, 48, -152, 0, 494, -17, 0, 64, -232, 0, -192, 0, 0, 120, -152, 0, 122, -128, 0, 102], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45796841
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 433, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021941395161754, 'source_is_minimal': False, 'source_label': '666.2.f.g.433.2', 'source_level': 666, 'target_conrey_index': 433, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021941395161754, 'target_is_minimal': False, 'target_label': '666.2.f.g.433.2', 'target_level': 666, 'twist_class_label': '222.2.e.c.121.1', 'twist_class_level': 222, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45796842
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 433, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021941395161754, 'source_is_minimal': False, 'source_label': '666.2.f.g.433.2', 'source_level': 666, 'target_conrey_index': 211, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202590, 'target_is_minimal': True, 'target_label': '222.2.e.c.211.1', 'target_level': 222, 'twist_class_label': '222.2.e.c.121.1', 'twist_class_level': 222, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45796843
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 433, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021941395161754, 'source_is_minimal': False, 'source_label': '666.2.f.g.433.2', 'source_level': 666, 'target_conrey_index': 433, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526296936777456, 'target_is_minimal': False, 'target_label': '1776.2.q.h.433.1', 'target_level': 1776, 'twist_class_label': '222.2.e.c.121.1', 'twist_class_level': 222, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45796844
{'conductor': 37, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 433, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021941395161754, 'source_is_minimal': False, 'source_label': '666.2.f.g.433.2', 'source_level': 666, 'target_conrey_index': 343, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021941395161754, 'target_is_minimal': False, 'target_label': '666.2.f.g.343.2', 'target_level': 666, 'twist_class_label': '222.2.e.c.121.1', 'twist_class_level': 222, 'twisting_char_label': '37.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 45796845
{'conductor': 111, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 433, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021941395161754, 'source_is_minimal': False, 'source_label': '666.2.f.g.433.2', 'source_level': 666, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816749590, 'target_is_minimal': False, 'target_label': '8214.2.a.o.1.1', 'target_level': 8214, 'twist_class_label': '222.2.e.c.121.1', 'twist_class_level': 222, 'twisting_char_label': '111.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45796846
{'conductor': 111, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 433, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021941395161754, 'source_is_minimal': False, 'source_label': '666.2.f.g.433.2', 'source_level': 666, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043195562008598, 'target_is_minimal': False, 'target_label': '8214.2.a.m.1.2', 'target_level': 8214, 'twist_class_label': '222.2.e.c.121.1', 'twist_class_level': 222, 'twisting_char_label': '111.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 45796847
{'conductor': 111, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 433, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021941395161754, 'source_is_minimal': False, 'source_label': '666.2.f.g.433.2', 'source_level': 666, 'target_conrey_index': 121, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202590, 'target_is_minimal': True, 'target_label': '222.2.e.c.121.1', 'target_level': 222, 'twist_class_label': '222.2.e.c.121.1', 'twist_class_level': 222, 'twisting_char_label': '111.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 45796848
{'conductor': 444, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 433, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021941395161754, 'source_is_minimal': False, 'source_label': '666.2.f.g.433.2', 'source_level': 666, 'target_conrey_index': 1009, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526296936777456, 'target_is_minimal': False, 'target_label': '1776.2.q.h.1009.1', 'target_level': 1776, 'twist_class_label': '222.2.e.c.121.1', 'twist_class_level': 222, 'twisting_char_label': '444.47', 'twisting_conrey_index': 47, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1184525
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 27021941395161754, 'p': 2}
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id: 1184526
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27021941395161754, 'p': 3}
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id: 1184527
{'charpoly_factorization': [[[64, 8, 9, -1, 1], 1]], 'hecke_orbit_code': 27021941395161754, 'p': 5}
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id: 1184528
{'charpoly_factorization': [[[36, -18, 15, 3, 1], 1]], 'hecke_orbit_code': 27021941395161754, 'p': 7}
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id: 1184529
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 27021941395161754, 'p': 11}
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id: 1184530
{'charpoly_factorization': [[[36, 18, 15, -3, 1], 1]], 'hecke_orbit_code': 27021941395161754, 'p': 13}
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id: 1184531
{'charpoly_factorization': [[[144, 108, 69, 9, 1], 1]], 'hecke_orbit_code': 27021941395161754, 'p': 17}
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id: 1184532
{'charpoly_factorization': [[[1024, 64, 36, -2, 1], 1]], 'hecke_orbit_code': 27021941395161754, 'p': 19}
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id: 1184533
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27021941395161754, 'p': 23}
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id: 1184534
{'charpoly_factorization': [[[-6, 3, 1], 2]], 'hecke_orbit_code': 27021941395161754, 'p': 29}
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id: 1184535
{'charpoly_factorization': [[[34, 13, 1], 2]], 'hecke_orbit_code': 27021941395161754, 'p': 31}
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id: 1184536
{'charpoly_factorization': [[[1369, -259, 12, -7, 1], 1]], 'hecke_orbit_code': 27021941395161754, 'p': 37}
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id: 1184537
{'charpoly_factorization': [[[36, -18, 15, 3, 1], 1]], 'hecke_orbit_code': 27021941395161754, 'p': 41}
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id: 1184538
{'charpoly_factorization': [[[34, 13, 1], 2]], 'hecke_orbit_code': 27021941395161754, 'p': 43}
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id: 1184539
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 27021941395161754, 'p': 47}
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id: 1184540
{'charpoly_factorization': [[[17424, 0, 132, 0, 1], 1]], 'hecke_orbit_code': 27021941395161754, 'p': 53}
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id: 1184541
{'charpoly_factorization': [[[16, 4, 1], 2]], 'hecke_orbit_code': 27021941395161754, 'p': 59}
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id: 1184542
{'charpoly_factorization': [[[5476, 74, 75, -1, 1], 1]], 'hecke_orbit_code': 27021941395161754, 'p': 61}
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id: 1184543
{'charpoly_factorization': [[[2916, 486, 135, -9, 1], 1]], 'hecke_orbit_code': 27021941395161754, 'p': 67}
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id: 1184544
{'charpoly_factorization': [[[17424, 0, 132, 0, 1], 1]], 'hecke_orbit_code': 27021941395161754, 'p': 71}
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id: 1184545
{'charpoly_factorization': [[[22, -11, 1], 2]], 'hecke_orbit_code': 27021941395161754, 'p': 73}
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id: 1184546
{'charpoly_factorization': [[[36, 18, 15, -3, 1], 1]], 'hecke_orbit_code': 27021941395161754, 'p': 79}
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id: 1184547
{'charpoly_factorization': [[[64, -8, 1], 2]], 'hecke_orbit_code': 27021941395161754, 'p': 83}
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id: 1184548
{'charpoly_factorization': [[[1156, -442, 135, -13, 1], 1]], 'hecke_orbit_code': 27021941395161754, 'p': 89}
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id: 1184549
{'charpoly_factorization': [[[-33, 0, 1], 2]], 'hecke_orbit_code': 27021941395161754, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 7, 'label': '666.2.f.g', 'level': 666, 'portrait': 'data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAAC4CAYAAABQMybHAAAABGdBTUEAALGPC/xhBQAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAAABmJLR0QA/wD/AP+gvaeTAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAAB3RJTUUH5AsHERQfFUTpewAAABBjYU52AAAA1wAAANcAAAAQAAAADnCbpecAAIAASURBVHja7P13vKXXXd+Lv9daT9n19OlFo5Fm1LtsyZZ7B+NYYJvmwCXUG0OSm9/NDSUhIfxCDIQECAkBDC4Ug8EYGeMqyZYlWb2Pysxoei+n7v60te4f66n7nJEd4lxh7t2v16N99jlHc/Z+ns/zWZ/v51uW4P97fNMen/zMfUgpNuzZf2zSJMZsnnXxXMnjh3u87toZceuVrYV7n0jYPLs4e9MVJ83T+7dQ8yQbZge0monQctcKmLOzm18LsAlYBoZCiJf7o33LPpyX+w18qzwOHDkDcLHWyQaD0INhyF9+6q/YtfkUOzYtUlMeh058KloyN/7CsL/0HY4w0ckzHhtmBNFgRG8l9k6enP+D4ycFIhn9yPGJfnj67DybZuHYKGSilbij+Mjf/JeP7f2F50/cIX7j3/3or5w9efgvavHTj/dX9imDD0JIJd2zwOF6a/PLfUq+JR7/HzVc4PHCgfMYUZty9eHX9ZeewZEyOrk0+c97I/lWKQxhFPPEE0/Rqi9z6eYOyz3F8XN10AFxFDPdNuw77nHVxQmnz0umJ2LaTZ+Dpx0SHTHXEpxaiLh6p+bF45KZCY3nedRqDofPS5b7sHt9zK7t01x2xbUYXBwFg9C5c+/h0a/HRrtvfM1V7Nqx5V5MsCzk+pf7lP2dfPx/AE8fy8vzAG9vNoNLjhzu6X/3W3+uv//tExf3g/U/0+8epFnzOHL8DN3uAmHksDSQJMaj5hravuFcN+bF0yM2z9SYrCuUiJib8Ni1TTEYgZABJ887jEI4tSBQeAyDiEu2GTZM95FImo2Qjet67Ds6w+JynWYtwXciBiNNp68I45ip6Tmarc0oJ+SqXTt4et/CL9+y6+zhrbt/QEZiUm6acw4CX5yYmH25T+nficf/6wH+3DP3I4V43XInfNtzhxbee/lF5y8L+h5/8Ff7ufXqFebPOxybH7BlVtHwYW5Sc3LJR0mDFJpNUwnHztVoNgyPHwwYBIKaBwsrcPGcQ6Pus2Eu5nVXd3n+8ASP7xW8cCzmVVclbJ7VNJuCbRuWmV9W1HwYBoYn983SqksOnfPYOD1CCvBUwplFxUQzRpKweX3E/EKLodG84boWx5avoNZIuO26yX3nltZ9MkrklxDc+/a3vP7lPsUv6+P/dQDvdVeo1WrT587N/4cP/cmd3ovHXkh+5J21G5eW2zd94otnWT93lDde1+TLj00y1Cu89UaH+5+usXPrkP7Q5fSSIogEvhNzxdaE9dMBiz3J04cmiGLBrs0jzvUU1+wc8uIRl+7IIQzgFVf02X+iQbsesvekwy27JWEU0B05PH1Ucv1FCZ2eyyVbQsJIsuewYKFXY+MUXLath+dIwgjOLLn0gphLN7l89WnDm27qEwwn+fwjA1534wrXXbyNxw9uYnE4ePy9r196Yv3MtWrdRW8PW+2Zn4vjcGlqauLlvgT/jz7+3gP88JFjuK4j7vjs/bzmppG6dFvjt0+ecXY/+tTp19zz8El15NwC3/uWFTa02tz9WJOnjgz5yfcs0e1s4IuParZtGbChVefcUsymdfDMQUVkQKDYMp1w4+4eSz1Bf1TjhcMOV+3s4noevYFECsFlWzXPHNDMd+sMoh7X7QzpDydY6gqeflGye3uMFoKVgabuG669SPLcYYdhGLHcVdy4y7BhJkKJmDhxefKQx9Z1hvMLitnpLhetb3LnIy6dcJmfvF3xxHOTfOHREVu39vmhtyuWO1s5292Y+K0t96/Etf2T9ZUPvGq3SDZufw1ax2b9xm0v9yX6X/r4e+miLC+eQSolh4Nu7U8/8gvBu77nX/+LJEl+4N/97uHoX37vgct9Jmu9ZY+mC4O+5MkD8ANv6XP1JS1OL9a463Gf73rNCtftnOHLT3lcsnXAhskWR0/HvOKykH0nPCabESB57miDTdOaxWWHB55PeOAAXLPdcMVWyVJPcP8LkjdeFTHZVCz3Wpw447DSNSg35Affscyxs21WeoIbdo+45pJ5XKY4uzDHiXm44iLNMJQcOesz1XDYe1Kyeyv0epLd2xfYsanGlx/zOLo45D2v05xbmGLvMegECdddEqDMJAeODnj+8F51aP7w65uTg1t+5cebr9D6RjcIRn/0vf/o537thb0H/KmpiVEcx3rb1r9/zszfKwaPtUYKIXW8PLk8f/jW4Uh+6MCBQ/GjT744s2ffmfazR2MmZhb5ue8NINnEMy/WefrFiBfPDnnbqzrcdnmTZ/ZPcu+ekMmZPt/5asmz+1rc/9yQy3fGbJmugxkiHIErHQ6ecVjXTugEhlYt4Nj5hOdPJLTUFG+9uc/ySotHXjBctUNw6baEJBYcn3dJEs2lWwRXXhzxyPOCpf6At9wkqTdPs/9oi6Nnpmj4gt7AZXYi5tAZD88JUFJhtMPWDUtcuV1x31NTPH444t2v67C+Ocl9T9Z46siAW65b5p03exw4NsfT+zV7DkcMZY+f/f4FNkysZ//RGTrBuu7U7I7Fiy6+xAkT+WNXXbHzofUz7RUwWgj5cl/Kb9rj7w2Dnzu3wNkzCxd97eljW7Zv0J/c5H5+4sjRTvPwUUMwtAHi+gnDnqOTPLj3LLffuszWjkOn79Ad+nzyy01mWl2u2eUwCpt87TnDHQ8MeM9rOtRqLZ484LJpps9M2+PEOYfuMGEwGNJc7xJph+mmYtOU5LVXDXnqQIwjBb4X4zdiHj+saLZctsyGBDFsnoHrd8/TGTgE8RSRdnj2qOSZF7fjqxq+l+BMBgwDmGgP2QF0+x4nzifMTA6Ym2jxpUc8nj0ecvvr+2yZbPPAMzX2HBlxxc5lvu8NCS8eneLQScHJ8zGnVxLe+foeV22r88LhBosdOH7mbPvko0fb3fBR2hu2/MWv/J+jTugk702c3SeHg8Wj9cbMy31JvymPb3mAG2MAdt/95Xs3xdr53fsf3HfpnQ99TX3on59k3cQ6VqZnGIWKwchhMNJcNISPfWmajTOL3LrLYTCaJYhchmGDR14ICaNlrtkFvtfg0X2KT93X4aqLVnjNNU0OnGgzvzKi7sXMTWl2bVacWVQsdSTdXkKrHuB7LlvmQo6cdXHkkNtf7fDEfpfLt68wOdnlc0826A59ZieaPPmixxUX95iZcDl6XrB5zqVWi5iqJbiORErB43unmWgOqHsBl2xVeLLO1/YYGo0V3vN6aLmTfOUxj30nh1xz2RLX74QTpzew97DL0dMRz5803HT1Mj/0loiT5zdydslncQWWuzErfXj+9JCJzqPN5aN3N8Xs2+/VvjjQ6eqfMMacBvZ/q2dRv2UBvry8hOM4l77wwnPX9nqDf3b4yJHX3fvgczx7qMPSwOdDn23yf313hy3raowCyTD0CAKXYWDon67zuUeavOrKRa7frYApjHF5+uAUH93f5z1v7HLr5RGzk00e3zvFnY+M2Dg74rLtgnUTDodOuwxGEf0BdPoCxzFsnk1ASaQMGQ4kZ5ZroOusmwi5ZPOAB/b4BMR8520RSdjg4EnJ3JTD5hmB1jHzyw7dUcAw8uj1PbbOBsy0RyglcRxBFDkcOglzUwNuuSZm05TDi8cm+No+OL3U46Zrenzv6xNOnN7AU/t99h+LeepwQiR6vPMVI0bDWU6ea3BuUTK/ErHYiTmxKJD+iJ+8fYmGW+PIgcfVfPfUZX77ynuCyLvXr9V/s9PpPBPH8YGZmW9NRlcv9xv42zwWzp+g5nsXHT+6/z8fOrjv3z74wIMX7X/xEKMgRArJaKR47pjL5g0dXn1FRBR7xImDNg7GCBw0x896HF3QXLSxy4YpaPg1aq6DwuHpQ4qzKyPa7ZArd2h2b/Hp9WucnBd4TkRkFKeXXU7Pa7qhwHEc1k/GnFvWHD3jMdWSCBzWTUcs9QxXXzRCygZnFhvs2uzz4jGfEwuGKy4KOLckiWKXYajYvTVCCENvIFk/GTM3HbBuOsSV0BkofB92bREsL7f48hN1DpweMT3d4Q03Drllt8+h4+t4er/H84djDs+HtCY7/PDb+1y5fYJjZyY5ftbl9HzCucWI4wuCA/OGd912nh9+e0J/MM25pTbnFg0HDp1m/4tHLxqO4u8Jo2T77NzcQz/5kz+18hu/8esv96X/H358S60/g84BHLc+1++c+GcnDj959emzw9v3vXiM3tClM4DlTsT8Ssy5ZcORJcH07Ao/+92LvHJXkyOnZzl+ts7J84rT5xOOn404PK9xGn3e85o+73yFx/GzM+w94nPwpGbv8YhEjti6LuRVV2u2r5McP9vkxDnJUlczijVSwlQL5iZilroO3b5iqh3iCIepdkLNj3hkr8/FGzRzUzFnFuq4SnNqUbNuynDxxpCH9/p4nmKmBUpFzDZhuS9Y7AvWtTXT7QgpIQgVS12HY+ccjs/HbN8w4tarY7bMOZA02HekwaGThheOJRxbDHj7q5f5rtcE1NUUR89McfS0w+nzCacXIk7MG/bPG26+cp6f/u4u69tTnDw/xdmFGueXHBa7sLQSsrQSsGnrDhx/6o7X3nbzs5dcvPk3+/3R/A1X73i5ofANP75lGFwv/Q6uOtrW/Wf++9K5J/735YVjV/S6CyjpYYRCG4nWAm0MGI0wcPRsjccPCi7d0uGK7QngAgopHRwl8ZXh/ILLvpOKkR5y2fYuOzdr5qYcNkx5eMJnseNz4qzgyBnBnqNw9EzI/HJAp5cwilxqnsdcy7B5XYQQCcPA4aINEa4yRFoQJR6LXckwcPEcgTCauUnN7ETCUtenOxSMYpflgWDDhGaxozl+TlFzPTZMw5a5kPUzI9bNBGyYCdiy3rBtg+LyrS511eTI8TYPP+fx5Isxe45FJKrHt9/W4fZXGepqhhePTXLktMOp8wlnFyKOzxsOLhhuunKen3//MltnJjg9P8n5pRpLHYelnqTTS+gNNP0RHDi6wOGTK5c/dXD+NS8eP3/RoZPzX7r1ze8JH7jzL15uSHxDj7/TDL603CGODVLywUeePvSqn/utT8vvuPngq/7ZPzjtzK+sY6nTYqlTY6nr2YvThaVOwnInYrGTcGYZDi0K5uZW+Hc/sMjNlzY4cW6a0+ebnF5wOLdoOLsQc3I+4XwvZnJ6xKuv7vPKy8CTdXzlc26pxpkFh7NLgkEAcaypeZpmLWFqIkYDx87GdPuwfb1Lsx5gjADh0R9qtm0IWFxxwFgpstKHIAaDYakTsnmdS2+oEMogdEC75rJt44iVgeDYaYdEO8y0Ja2awHchjgWDQHJ2SXJm0XBuOcb3R+DG3HJFn1ddKZhr11lcbnPinM/pBTi3EHNuKebUEhxaNNx4xQK/+APLbJhsc/zsNGcX6swveyx0pD1/vYiVXsJKz7DYg1M9wfzigP/0fwTxe1/ferA+98O6NrH7QYH+WYOLX2u/3FC54OPvLIN//M/+ilfefD3/4l/8i1/68zvu+f997M+/fMm+Y52L9p0ayNuu6rBzkyZOHECCkRZUyPQQIAyOMPgSTi/VeOSA4uqdS1y2dUSjBq4j8VyF5zk065KGKxn0XfYfrXH3kx7Hzgd044j9JwLWzyzxzlcvc/UlPW68rMPRhZiFgaDhjzh82tDpNrnqYsnKKGHvUUWr4fD8Mbh0k2EUJowSD8eJmGrBvhM+yklwZYzjwjCQ3HzZgOFAcvUlCd1hwrHTLXZsUDQbISuBYd3kgOV+lz+/B54+krDnyIjtmxa5ZneXqemQd9zS47tea9i5oUUSTXLk1ASHTrqcOKs5eT7i5PmEQ+cFx1cirt01z7/7gR7rJyc5cXaac4sN5lc8FruC5a6m04vo9BM6fcNSH84OJPMdzY2XzfO/f8e89KS86MzpEztGw+gV9faOeqM59eWH7v8Mv//hP325IbPm4+8kg//VHX/NNVdvV/d97YV/c/T42X/1xJ4j6sxiyOJQcaIPV2w9x3/+ifNce3GDc4tTLHaaLHV8lrsuS12H5S4sdxOWuzFLvZiFDpxYFjj1EbdeucR3vzZkx7omK/0255fqzC95LHQESx0rEZZ7mu5Q0w0Mg1HMTDti23oNCHzXcPK8i5A+29cpdmwybFo34NxywDMHWtxwqaFRX+a5g9O0miFh6DIzpRmO4PJtIz5+zyS7t8YEgWF2QhIlQ1o1n+ePjqi7Ta7bFbPncMi5RY/NMz47NsK2DSFKRZxcAM81CGHYvj5mqiXpDX36A5fuwGWpq1hagcWOZqmTsNBJONuBxVHCts19vvt1C9x6mUPNbXNmoc3Cco2FFYfFrmClo1nJmLtvWOzD2b7k7ErCzbvO8cs/vsglm1rML0+w1KnRHU6gajsTr77+l4b64l/0xOnkLW9718sNnVWPv1MAf/HFF6nVavXTp09ue/6Fve87duz0v9934ASDQNAdGpYHgnN9yYluwg07zvFrP7HINRc3mF+aZHGlwXKvxlLXZTkFeaenWenFLPdilrqGcx3B6b4B0ef22zq842bNxRtrhGGD5U6Nlb5Hp6dY7gt6A8EoMISxIUlASYPvQt03TLYN66YjHHfEoTMhzx700XGTt70ixHFXeGLvBBdthC88GnPbVT7nO0NqjiJOIqanII5cHDdmcbHBq6/v8oWHWuzYCI8fCHBp8NabNbEY8uyhhCMnazjSY/2Uw1RTUPcFnidQAmINYWQYhdAbGFb6mt5AszLQLPYNwyRh+5YB73hlh9tfFYJusbgywfmlOoudlAw6sNJL6PTjHNzLAzjTU5zvJtx46Tl+5SfmuXxbnfmlKZa6DVZ6Pitdl6WOwK1vptle/68vunj3X2zZsuX4aDQa7tq16+WGUv74OwPwg4cOMjc75x08eOCHDh06+NvP7tkjllf6sj/S9IYJvaGhNzAsDwXn+opTvYibLjnPr/7oEtdf4rOwMsnCSpOVrs9Kz2O557DSE3R6hk4/YaUX0+lrlvuG8z3BmY5manLAm2/scctlMdvXK9p1l26vhu9KQBHGWeAKgxEgNFOtEQdOGbQJuevxJsGgziWbPW69ekCkV7jvyUmuu9TlwNk+neU2r7x6wJef8Fk/bdh7zPCT7+6y96jP+mnJ3U8qbr1csTTocvjENNftCrnv2SFx0OCWKzx2bh0xjPvc+YSCRHDopEO74eAIGAwl2ggSbYhiQGocT9PpG5qtiK0bA151+YA33xAz06xxbmmCxZU6y117bpa7gk4fOr2YTj+2smRgWBpIzvYEC72EV+w+z7//0Xmu2VFjfnmS5W6DTq9Gp+/SGTj0+opO35BQ05dfcbW55JJLPrBz5yUfXViYD3fuvPTlhhTwdwTgcRzJYDR659fu/+IlvX78q48//phrjCCKYRgkDIYJFuia3ghWBoLzA8WpTswtl5/ngz+6wA0Xu6z0JphfbtHp11jpeaz0HTo9RWcAvb6hO4jp9hP6Q01nYJjvC+b7ECUB11w6ZMN0Qn9gePsrAy7aoIkTiSMNYQT3PlPj+PkaG6dinjtUA93gsi2K63dr/NqAJw4MmF9ocuVFTdqTyzy0x+WmS2ssDlZYXm6zYYPh0b2K739Dn8f2OmxZ57LQ77C8NM31lw946LmE6fokV17S53ynw6MvTFJ3mty427Br2whkn2eOCNZNR5ybj7jvGZdRpJASEm24aGPIm18Z0usrNk1prr8UwrDBUqfBUsdnpe/SHSg6fUm3D91BQref0BskdAealYFhaSg51RV0hiG37prnF39kiRsvtTfHSrdBZ+DT7bt0Bw69oaI/lAxGMBwlRInmhutvirSR//Jd3/HtB+uN+mc919UvN7Ze9kzmcDggCIY/cPjgU79+7tSB6bPnl2g1FHEskMKgtUFr0AZsVl4DBiESpHR4/MB6fvb3Xd79qiW+5w1L7Ngccnaxje/VqfseDd+lWXfo1SWtoctE02EwSugPE9YHmmFg6I18luZrnDxhCGPNqbMxvm8AgacMjhQMhgqBSzxwuPYiwc5Nhm2bBwRJjy8+pth3cIq33OBz/eXL/OEXDZ5ocNHmAXseUmyeVMy2B9RUnTByOd+DZs1hy3rB0/tCrt9V57XXLfCxzw3x3BZveoXB9Qd85dGQLzzS5IUjdS7e1OCijQlzUyE7ZiOuuihBKY2jDGBo+D5zkz5h5NIbeDx3wKU/chgMFf2RpD+E/sjQH9jP3hsm9IeG7tCwMoT5geLcsqEx0eGn3j7PP7gl5JodTc4stOn063T7Hr2hS3/oMBgphiPJKIAgNMQJRBE88NCjbqs9/eszc+uXbrv15n/e7w8+1mw2/t8L8DjqA/zI0QMPf/DF5+6dDgY9mjUH15EEISAEJjd6TApsiRQGKQyOTPCk5NmDszx1oMGB0+d596v6vOqKEZOtNkudBs1ujfbQo5+xzkgyHDkMAodRYBiFmjAyRJEhTuwRxh5Gg1QC1xHUPMFkSzDVgg2zmi3rB8xOdfjSE3D/Uy5ST/CWG1yuvazHAy9EhKM2t14r6AyHnF9scssuzezkgLrjM4oV890IpQXX7nJotAKe3F/jNddP8Mprejy5X4GZ4IYrPH7425f48tMhdz/WZO/xGtvmFBum60y1Gky0oO6D6xiUtASw94ggSQRRLAhjCCLsZwwShoFmFGgGI80g0PSH0A1gvi8534NAj3jjdUu881Udvu9Nmjhuc3axSbdfpzfw6A0d+kNFf1Qw9ygwBKEmCDVhlBCEmnMLpzlz/ovT3X7yH7/9ba9xOt3BH0y0Xz6Qv2wAHw2X0dr88LkT937w9JEvr3PFgMmWxyjSjAKQwjYMSCEQQoEQCAFKaqSwWURHGRylqbuC+UGdT9yzha881eW2q1Z4/xtXuGpHn5nJBosrDXpDn8HQTYGt7BEKgkgSxYI4tku9XSVsUOk4UPOgUddMtyI2rxsQ0+fAqYg/v6/G4RNNJv06N13hcMvVXR59scNdD7d5xaU1tm0c8PF7BEr4tFsRK/0AbUAJmGsP6PY8dFznnbed5xNfaLDzXI13vGJAGC1y37MzREmNm69Yxztu6nLp1g5feXLAnhMNnjnisWVaMt0WNHyB59qbUAoQwqANaG2I4vRmjQxBZG/kUQjDEHojwXIgWOqBcEZct3uF9795hVdfkTDbrrPcbdLp1qxDk7J2f6QYjCSDkWQYwCAwjAJNGCaMcpAbwkSxeKbDH//FXetGofng7d/2anN+fvnD6+am/v4DfGHFoByE94xrlk599gejYPiri+eenxXJCs26h5IJShmkACVBSYGUEiEEQkiUdFAyQUqRLs8aVxl8x1BzBMsjxVJnik/e2+SR5/rces0K73/TCtft7DCT1Iljn8GoRn/oMgwcwkgRxZI4kSRaoI1AYFcH39M0ajG+F+K5AacWAz73uOTgSY8jJ6dQ2mfnRo/LdyhuuKyL8ud59lCLzZMNrrwYNswts9Rtc9VmSawNX3rMJxhIJpsxb715xGfvizh+tsXuS1zOrIx4/rDL1vVTXLNjngf29HjoeUEQely2Y5rLtvpctqXHoTNLHDwFj+1rcOBwk4Yj8B1J0zfUXJDSBlXG2Js1TiCMIUwE/UDQHQm6EYQ6RpsRN17a5f1v7nLbVQkbp32GowkWOzV6fZ/+yGOQypH+SDEc2QTTMEhXhTBhFGiCKCEIDUGkCUIYhYYwkSye7fBHn7xn3f4j53611W7GH/ytL/5hJA7xb37qH//9BXiSjEDUbjuz8ZEPJwu/N+2xMOspDxoeTmhrLpS0gZNSBqUkSlmgKyVwlEKpDNwJriPwXI3nGnzX0PASJmuCXuCy3J3iU/e3ueeZEeunBrzvdR0u2zpiNOxz5Q7D1g2KIHJJEkWibaJIYJBS4zoJx84ZjpwVrAw1n3mgwamFKUzoMlVTbJpx2L7B4eLNcOXOLlou8KHPNllamuAVlzlcubPDV54RiNhl3ZSk2YgZRB7S2KSUcjw6I8G5JcEVpsHrbujx4JN1Ns16vOLKaf7Rty/w0S/0eGx/k/7IZXGlxY5NdXZvHHDzrh7f+Zoep5eW+MwDPosDn2NnXE6d8nBVSgjYkoVEQ6QNSayZmom4+ooBQRBx2daA97wuYN2EYrrlE0U1zszX6A89hoHLYOQwDJTV2oFkGAiGgWAUYFeCIMmlySjKwG3tyiCGYSgItMOBU12e+uQjs7dcN/tf3vzqmejPviL+9MMf/3V++Pv/+d8/gP/kL32C9TM18bG/+L0dywt7d22ffp633lxDyRbDQOMoFyUNSjpIZVBKWUBLg5LSlo0qgZM+u47AdTWek+A5mpprqEeGRmiYqCVM1QWDUNILmxw52eRX/nQadIyIY264esCODSFxDNpojLFJHCkEUgkc12P/cY+9B2s0aw4tTzLbEMzNSNZNO2yaU2zfmLB7+wqJWOS37mhz7Pgkr9jlctlFCcO4x8PP+kzWXWYmDJOtkEbdSiGtJZ2RYqlvWOwkdPp1Xn3lCo/vHbDvuGKyXePmKyb50Xcu8t8+DU8ebNIfGlZ6DueW2myYbbBuasT2mRH/4r0D2o0Oe47A/hMS1zUoZRDCBuKkgXkcw0UbEm69KiaJXKLYx5gGo9Dl7IIF9TBwGIUql2/DUNgy40BY4IaWtTNgZ+AOQ5OCHEaR/d1+JOhFkpUI+p0QM3xycs7f8Pv/+Yd2xm968/s/+V2v9c3Utg/8/QH4B3/zT7nmorZS/+6Pbv/wZxY/9OCTZ3njNW0u3thl1xaNO2gwUD5K6fxwlIMjDUoqq7Udg6ukZW1HMHIVnisJXIkfJgSRoR5pgkgThoZ2jGWWGMJYMIokQeITJTX2HWzyzD5IjMFC22pjV4KnbM1Hy4crN0K7DhNNyVRLMTPpsG4atm0I2Di3QmSW+K07Jjh0eILrL1ZcvEWyc8syX30+5tziBDfskEy1NTVviC99jBLEiUQYQ5yELPdrnFt0uf6yOtfu6vHAkzXWTwkatRbX79L81O2L/JdPa54/1WKlr1npKeaXHWYnm0y160y1J2g3IuaaEduvD/HdGNeJUSpBChtMGOxNFUWK8/MOUayIYkUYKYIofQ4lQSQJQskolAShsIANhZUfYXZedc7WQZR9H0YpuIeRYBAJViJBJzREo4BrL17kA+9Z5hW75xuxrP/hqf2f0cujq+44/NyfJBdf9f5vfYD/2n/9M5qNmnrixfPvOXfq9Meef/5ETYsZvviYh+sIfvFHV7hsS4LjxKihxpEJjvJwUo3tOA6uo3BDhasMbiTxHIEXCQJXEHiKMJIEoSaKDGGcWFckLh0JxIkhSTSJxuptTQ5ukWp+R4Lrgu8Iar6g4UuaDcVEQzI1IVg3HbN9w4BWc4U7Hgy579lpVhbaXL1NsX2jy6VbRyRihS891qDpOsxNKVqNEc8ewnbcbzUMAsU1l0ZcvdNw9kzC/LLHcNTgbTf1+NqeIQdOKZp1ie+1uepizS/+4CL3Pj/ks/fOstg1bF+XsNxxmGwrJpourYZLs26o+Rrf0/hOgqOs1JJpa6Ux2ISVFsRaEieCOBZEsSSMBVEkCSLrvISRsMFiCEGUEEaasEQcQWwIwix4TVk7hmEk6EaSbgS9QEPc5/pty/zCjyzy1hsNnf4U/ZWTtUjO/LHjH/rftJn6yxef+dNk17Xf960N8O7IyMVu53uOHTv1Oy/sO1abrjskUrIi2vzNQ5IwVHzX6zq89w09ptsxPaeOoxIcx8N1dHooPNfBc1O2cS3jhJ4gjIS9OJEiiiGMpHUQ4sL2ixNNklh3ITGpU5K6JUKIVPsLnHR18D1JzZc064J2wzDZ0qyfDpib6hGbFT75NclHvzDDulqNq7cJtm10uWiTZvvGZe542LC0VOOyDYqpNrQaEeeOSs4v+3g7IIgEcxOSyUk4cMSw3NWcXahx6UU13nBDj8/dX2OmBb7noeQkV+0U/Ng7zuPK8/zNA1O8cKrG+m7EusmYiaaiVVc06pK67+B74LvgOMaCXIAUJZBjb+xEQ5II4oQU6BAlhjCGKEosKUSpfRprwlgTRuSOTBBZrR1EglEk6MeCbizohYbRKKLt9/jut87zvtcNeON1gk6/TX9YJ4rqdAeHa/W2+P3Jae14vvNnWJ751gT4hz72aeJE/+C9Dx3+T/sPHm+7riIBJlyDMYquaPKlxxUPP1fj7PICP/mdfabbESOvQXcQ4zoeruPiui5hqPFche8qC+7IptIt4wjLRCkrxTFECSSJdRK0tgGX1ibr4UzBbQFuA1iB61iA1Hxo1DStesxkK2Zucsjs1AoP7gv547vq7D8yyUUTLjs3wJYNHlvWw+5tXQZxl0f3tqkrl7kpxWQLJlsBUxMxnucghL25hoHHUjdiZWDo9GPOL3ts29DilZed567HBuw/1abhR7jKQ4gJdm5W/MM3LXDj7vP88V0tHn1uksW+w7p2zGQjplGT1GsK3xX4rsR1bayiFKl9aFFusD2sWpMDPU50urql1mKsiRNNGNsSgCg2+YoYxBBGEMSCUWwlSS8WdGMYDhN0PGKm3uUD37XI//k9A+q+z0q3wWBUZxT4hLECHHorR9oY/VuNqWu9F5/964/uuvoffOsBvNPtoKT8kd//wzs+eP7syZlmTZJosnQkAo0Qkp6s0xkp/tNfuOw9tMQ7X9Pnddd2WT87oterMwx8gtAjcB38yCH0rL2XATyKJGFsl90oTj3thNT6I2VumWZCU3DbJGXK3OAomzDxXEPN09RrMa1azFQ7YONsl3OdAb/9GZcvPT7N0nKTS+YE29YJNq/z2LJOsGPTCMdb4RP3ORw+0WTXeslUSzLRTJAy4NS8wXckUoAxgjBy2L6uy2MkdAeK5a7h3FKdXVtqfOfrOvzlVzyOnvNxnQghXLRpEsWSG3Yss/17u3zpyQEf/9I0TxxtsnlKMNtMaNYSap7AdwWea2MVR2EDZynymgyDvcm0wTotiQV8BvI4sZLO+ugpwNM4JowtuIcJ9CNJL4ZhqIkHIVtmu7z2hhXe9Zo+b7tB44gmS8t1gtBjFHqMQpcgdAhjRRS5dE+fn5mTw1+98oZ3q36/+wfN5v+amvL/JQBfWlpBCucf3fWV+z/4wvMvrGv6Vt+Gsck1r0iXT1cIusKnGzh84qs+9+7pcf3uLt/7JlsFNzPpMxz5DAKPKHIJY5cwcvJAKY6tlx0lmbaUJIkg0aLQ2lqQqxJT/G1rRRpcpfFcje8l1P2YVj1gdrLPMBrylWcNf/7VCR59bpIpz+WqzYaN05L1Mx6b5iRb1odcvHmZPUeHfOZrc0woh7kJQbspaDciOoOELzxco+UZhLDAGgYO77w14POP2JqYTl9zftlhy7oW735Vn0f39dh7wKPpxygpLMh1g1Fotf4/fEOHXRvP84l7uzz0wiTHl+tsaAsmaoaGp6k5Gs8FRwmUtDeyTM95Vn6kU6mmdbHCxSnQLUFAlAiiJAV2Yll7EAv6CTbmCUOa9QHf/ZYlvudNXW7YpVk/7TAYtFjp+QSRT5ACOwidNKh1CCLJaCTpHnpxnd94+IOXX3WrHg46H6k3vvlj5b6pAO90OgyHfTxX/sD9Dzz4a1+6656Z5eUVfE+CMAhps232wKbbhcCVgr5U9NwmJ7s+px9t8Mizff7ymh7vecOQt946YmbSIwx8gtgljFyiyM0dgThRxLEk1pIkKQCuTcrcuqgpy/62kjp1ZzSem+B7EXU/pFUfkjDky09K/vSeSZ47MoGIfC6aMmycNMxOKuamPTbMSjbNRWzb0OXEfI/f/WyTOKizZYtgsuXQbkK7ESHckO6wyWTLIITAGIhiybSviHVML/LoDRKWu4pT83WuuLjFj3/HCr/6Zz7H5ps4KkpvDIc4rjEKJRtmfG64pMvVF/d5/tgp/vyrde56YpLTnTpNX9HyoOkaPMfgKlI3KiWW0vXSgEnrfBItSAzEibD+eSIIE5skGiaWtYeJIY5idBQyUxvwtjeu8L439rjtqpiJukMYNVhaqRGEHmFkiSgInRTUZefGrrqj/gpPPXHfuiCSv7brshvj06dP/1Gr1aTd/uYB/ZsK8OFwSL3efNeTTz313772tXvb4bBH3VeEscFgEykCkYNcCYESBkeCp6CmBH3lMYgdzoc1/uaRJvc9N+Dmu/v8k+/qcfm2LusmFe2GQxh5hLFLHDs5yC24JYmWaCMxxkoCkweUIIVGpSl+x4nxvRhXhXSHEfPdiN+8o8aR81M8uXcSoz1m6oJ1s4bZCcFMWzEz6bJ+RrJhJmbz3ICZyWW+9JTmiRcmuXqLYKolaTUk7YamWQ8RboDvOzi22sBmGRPJMHAYjiJiLWyVZN+w1HU5u9jmlt19XnnFCp+4u0Z9SeHIyALSOMSJRxjZHs/ZyRo37uxz4yV9HnvtaY7NS/74rknOrzQ4uejjKUnTFXiZDJM28MyJPJMqWCaPjSDWEGlBkMAohlAbSGKII6QK2DQ15Ort9nrcdLmmXVfEcZNOz7PAjl2iyII6jByCWBFlkjKSKcCFlZVa0Fnoce+9984Ekfpv11573fJoNPzMNxOT3zSAHz16kPXr16u/+tQnLzlw4GC7s9Kh5jsEkSavAEzBLYVIEzjGuhfK4MaGmhI0HLsMDlyfYeyyGDa464kJHnxhSNMP+N/e3mHrTMz2TUNuubKHI2yLmBBWrtispK2Vtm1sKbgxCGlQwnrmhhhkzPNHJI/vc/jcoy2eP94ijBu0HMVc3TDdNEw1jPXB2w7TEw4zk4IN0zGb5oZsnFvmvucCPvS5dWycdJhrQ7upaDcFrUZM3Q948EXFKHRwmxZUxtiLW3MU1+0a8sizk7bwaZiw0nVZWPE5tzDFj7/jHCcXFnnk6TlcCYgIDcSxQxi5BKGkP3SYatWYbDd55a4Br716wPe+fp59JzSff7TGo/vqvHi4SSwcgkAxiBRKZKUP5cAzzQkYTawNRmtckTDhhdSIeOX1fXZsHLFlNuL9bw2oe4pmzZJMp2fZOootoOM409nKPscyL4kII2sKZPZkGAkSLen1Ojz6yIPtc+fOXnL77e9RL754INm165tTT/5NAfgze54nTJre008//kNCxP9ppbOE4yhIDK4WGCOxJlXKotIgY5HWnBhUAq4UuInBSwy+EjQSQeDAMHHSo0avl/Brn5jCxBHr50ZcsW3EzETMe94wZNu6kCgSqd6WUGJuMs0vNUIKPnVvnT2HmgjH4djpBqfONajVFRO+YLJpaNc07Rq06oKJhqLdUky1HGYmYXYyZv3MiM3ruiRmhU99rc2w3+TSLYZ2Q9FqSFp1TasW47ohX3qkRjCQuOtst2gmUZp1xdtuHnL/U5p+IOkPE7oDh5Wew9nFBpfvaPGe27o8+XyDY0stlNRAlOpllyixbtIolPRHDp2+R6veoFkPuHzLiFfsHnHifIejZ1Zw3IRnDjv85VcbCKUsuMfnD5qUiIwhChO2r4953xuGzLYTdm83rJ+BJHYJwhZx7LLcTVfPRBHFThrgO0VMlD9nwb+VJVEsiKLM8bJaX0jFwvwi69Zv/U9PPvnY4Ibrtn/0+JHnwm07rvq7AfAjR4/juud2LS2c/u39e5+QYFPrxmiMkpjUMRHSIGJyfzYDt5NArIx9ToQFeWKItaCVGMJEEGhBkLgE2iXWMN9v89U9GkPCXz9qRzZgdHpkWbzUIksrEoWQSKWIIwepbVluy4cdc4amq2n4moYPDV/QrEtadSuHJlqSqTbMTMTMTQVsmuuRsMxv/lWNB55dx84ZmGqk7N2QtOoxjXpIszGkXm/gK4mSqQbHyoEochkNBcMgoReovKGj01MsNz1Onpvg1VcE/NR7z/Hrf+lwfMVHCI0xEToxRLFLGElGgUt/qGgNHZo1j0a9RsNvUPMjWvWQGy4N8dyImy6Nef8bBzgqTpNAGiFMVZSnkk5riRAS31WAxyhwWFx2SJJMCtrVMk6yQxLHkiixdfxxrGyAGmffzwAtUpdLpE6NlUTG2NqZxx57TE61xW/X3cHXhsPguW8GNv+nAX7HHZ9msuXVXzxw+Pb9L74olBRpFSAW5GgQEiF04Z5IUAmoGJQijdotwLMquDhJo3qd+tlaEGtDpCHWgkhLIiNJtEOkfZLU9io/8iylAEcIm6lUUKsbao6hphJ8F3wHap6h7gvqnqRRlzRqjgV4UzDZ0ky3Y2YmA9ZN99m0bpEPfU7z8bvWs3VSMdvStJuKVkPRbECjntCqR5xZ1Bw641Pz7M0MWaWfYBQ67Nig2TA7ojvyGI5MyuKSlZ5Dq16j1Zjk/W88z+EzZ/n9z2zGkQ4GTaITey5ihyBUDENbFDWoSRojh7rvUvcTOj0bY3huguskuG6CI22jhJQ2nZ/FQ7Z0RQAiBbmgo9MqS23jmiSRaK1SC9aCN9G2/CA7khTQmaNVfC1yZyZLMMVJZuNaIqrXHPbve14EQXj7uo07Dn3xC58Zvv0d/3ONzP/TAJ+c8LyVlYWf6azM/4wUsVRSpiAWKcgycNtGBSWs9k7SyN5JBLGyjb1xkmbZdPo6ta/y72Vp9rRSznq5Ig+UypobspXCBlaO1DhpDbmrwFUC1zHWN3YENV9S8yR1X1GvKVp1SathmGgmTLZiptsBs1MDtq1f5NEXAz5x7yamaj7rW5p2Q1hw1yXNmqZZi2k1Ah7dD8/sa3DJnEl1b5E2HwaKm3YbLt025LHnJhkEhuEooT90UpC7NGp16rVJvvs1Szzz4nke2bsBjELrxBJBbIgjk9eTDAOHxshQrylqnsb3XHwvwXc0jpPgOrb8QSltt2CRtjQYYRAUeq4IzkV6fi3ItRapQ2WBnX0dZ7ZskoFd5EeeMS09Z9c6u962Y8sgpGBxOZTy5Pl/o0XTq9UbvwSELxvA+/2BHI1Gv/DpOz7xz5cWz3k1T+VLnjSghUALEDrtwslOqk4BrmxywUlTxxmwrYdt8g+fmCzzZtBpJi5LVhhjKGXeKytuJoWyhI4NaIUFuCPSclub/fM9Rc1X1H1Boy5o1Q3tRsJEM2ayFTAzMWTT3DKP7B/yCx9bz/GTk1w8q5lsQLuuaNYVzRo0awn1WoTnjuiMbLGYq0x+wwM560WxR7seMYg1g8DuzzMYJfQGkk5d0ej51PwWF22I+MUf6vBv/1Dy8N71GBTaaJJEEydxmkpXjELF0JfUA0XNk/iewfcUvqNxXev3O8qkBW32WqhUpghhqg26aWo/uyEzVs/q5rOvk9RWtAyffTaR240ZwPPnvFTAEpjOM8zF9Tt+4rTn+Y1/+X3f971uEAz/te/X/9bp/L81wHu9HlrHv/TIww/8s5MnT9R8P8vU5ecnBaVAauuaJCmwE23QKn2dmJyhdZL+TJfvbPu10YYkZWszdmR/LztBmRTK5ZDIasqtXZaX2zoS37MDgGq+HclQ9w3NmqbVSGg3IiZaIdPtIZvmVnhk34B/+9FZ9h+fZvu0dVhadUmzIS171w2NWkKjFhElIX9ydwupFK40KFHYhNpkTOfyD9+yzJ1PhPRCn0EK8P5Q2Y5136Hm+fhum91bY/79Dy/y8x8VPPTcerSRJNqm1aPYFpoFoSao2XJX3xfUXIHv2cym55g8Y+sobUuSpV3hRPZcZoj0hBbnW+TyKgN4dn2zZ3uATkQqLUUO5spzqXQi67k15YuI4MSJE7WHHnzw/7jtNa8VvV7vZ1ut1v+zAF88fwhj9CtPHXu67jsRUsqsBDkHnpagcrAKlBYkKbB1miKuvFamkB+6aL+yQBe2jiIDdfa3xt5X7tQIENLOD5El9nacrO5E4rrS1m94gppvZ540/IRm3YK73QyZbA+Zm+zw6L4Bv/CRaZ4/NsuWKcFMsyRNag7Nmq1fqddi6n6I6wacWpzCVQIldWrLFUFmkkjiWLFxyhDHEd2oxjBtAxuOEnojSX2gqHkunlvDdSa4bEvMv/9H8/zch+GRF9al8kATJYYoTlIm1wS+phZKRp7KJZjrgutkbX7S5gKkdbRyZ0sU57CMN2PSTLAuCrayBFpBRFZ6JCYFfImti9fFNbUlAqZYhUurMQZGwYCv3v9ofWp2yyuFFPxtH38rgN9zz90cOW0ao/Of9VyxQrtR9DOW7/gkkxIlJk6S9O6XhsRQfFAnZemKDDH58lU9EauBnT2kKIqopLSxQAZuJe2s7UKeQM0F39PUa4a6b/Vzox7RboRMNofMTnV44sCIn/+DKZ49NsemScVcUzNRF7RqkkZN0agL6jV7c9hUf8gjewX9kUdNkabLrQbPmhASLYhih2ZNccuVPR59vs0gsjLFjspQ9HyF7yk810v18ySXb9X88o+e56d/Dx7au84G21qnzdJFD2bgSXxPW/ZOa1Pc9Oa2B6lMKWScTLO8a4M8O+8iz35a/9wCvXyNy8VcFaYuX29TBbi9YYrrmySGlZNLfPTjn/H+xT9+V+Puu+4cvPktb/1fD/Azp4+zYcPmybvv+szvnj2fvCZJEnxX5kFfXsijQZkiqEq0ZXOtqCxtWglbwjrO2iVA69IdnjE32d2eXQxhC4psOYDIi4xUDnBQacWg64Dngudqal5aYOUn1FN50aoHTLSGTLW6PH0w4Of/YIpnjq5jw6TDXEMzUYdmTdCsKxp1RSNn74SaH9NqjLjvGY+VTo2pqSJNngEmC9aiRLFuRvHGa/vc97i2XTShLoFcUnMlNdfBdTwcp46Umsu3Gj74o+f56d8zPLR/HZF2iLIKwMTkTO5HMq8u9ByJ46RFWFKgnOzckL+/7CbMpIrIqtKorszlY/ya58/5ymtS775EVjmRWVBXQG4yooNEa2oqeM1Tew59+Pbb/8FPHD16bOWii7b/rwX4oHua48P5nw56R74nChbxXAeDwTEmnwKVjTHOwW1sIKlLYK+eDJE7IhnjF+C+AHNnVYkic2tS5pZZBV2hu7OKQUdh6zMcg+vaxuKap6l5CfVaTKMW0awFtBojpic6PPliwM/83ixPH17PukmXdY2EiYZJwZ2yd01S9y371/yYhh8S64Be6COUxM0YPNfgImW61COOXJreyJYLhDWmMpCPEgaeZXDfk7iOg+tkG9AarrrI8Ks/cY7/63c0D+1bT6QdgkQQJjplcUEt0viuwXMFnqPT1cu2/Kl0Rct6XjNJJ0vxC4jixizHOmPgzkloDKxl5jbp10kJ1OOrc/nmsH9PcPL0Ak89e+h7Nm195lAURj/3v5TBB71j1Jtbtj/z8O9frfQJptqgTWKBmVt4pajbZHewSEErSiydWnzpMjbOBllQM15PUljdpmDtclCZLbdph45Kgynb8maB7Tkmrx6suUmqmyPqtYCp9oCJZo9H9sb87IdmeerweuYmHObqCRM1QysFd71m7cQM3HU/oebFtJshe48a7n2yiSclrrKdNeW9brKlPEoUsXZ43Q0Rl1zc59DxOnMN25k+Cu08k8EoZWFH4ThuXuIghOHK7fDLP7bAz/2e5mvPzzGK6gSJJIwNjdhKFt/FgtzJVi+d97ZKleQrnJKiBHBRAjmr9EoB8hLxmPKqW7B3xtjjgM5/rhlbrTM82NdxItmz7xTGeezqf/szP7Z934GTxy67dMs3H+AmPgSqcVF/8Su/4Ykz7/JUB2p+MXIhBXiWlbIgz0BsSqwuquxdZoL8/6kuiasYxHJLyuBj4BYGqTJb0ILBUSlrOwbP0biuxnc1vhdT82JqfkijFjA9MWC5N+D+5+CX/3QDew7OMpuCe7JuaNUFzZrIvXLrvGjL3p4FeN0PCJOE0bBGTdmbTIrS0k92o4s00HSslncCgtAwjEQJ4BrPS/BcB9eVaRO2mwMcAdfsEPzyTyzza38W89C+GU532oyaksnE0IoNtXTigO+a1PvPnBRTTCxIpUoG8Pz9pm+6jPNck6cXxeTXylTZPJenpkRcBaDL389+luv6NCGdJf16nSEHTyy/6xOffSh5/auv+T+e3Hfq6A2XfWN7en7DAF88dxLlLL2iO7/v9sHKPjy3DWikNCnARZW5ywA3hQwxFTliKt8blyJlgGenuKwKs4tgxz1k7G1SeWLSqkHL3E7a/ubl5bEW3L6Xgnu6z/zykA/+SYPPPDzHQn+KuQnJXC0Fd83q7kYaWNZ9ScM3KYNb7V3zQyDknqc9liOPGZ9KPTaifEGtDg8jh7bv8IbrBzyyP6QX+UzkYxg0XmBr1T3HAtxRBiVdhLQJGgxctlXy6/+ky+cfGfJLH1nPyYUphpMOk56gFWsaMfiRHb3sKTvQyM0CTSnyIDh7Lgfq5RtTiLxXpGDxjHyya7kK7FV9XWHx/HvVGyMjv6xG3SB59OkDbNq87vbNc40/6faGR7+pDB4EAzyvfumJww/802NHDiKpIyW4ToKUlsFNRX+X2TvTnVn0LXIJkkuR8t2cZdIymqg4JpnuJmeWLN2cuQAqA7gyONIC21FZb2eC5yZ4bkzNi/C9iFZ9iOMMuO+ZhA9/oc3nHlhHqNusawtma1aWWAsw88lVeoiUucvsHeE4AQ++MMkgdNjYyN7POINnsYgtSqq5ildePiTWFuDDSKSjGKy3PQq0DQ6ddDZMZu+lyXWDYHZS8D2v79PyT/ORLwy5/4UZzkZ1BjVJOzY0HWNB7qRxiDJpXGJSkGfnUBS14xIkBYuP7yhYBnkW9FfISdsOogywudV4IfCXwJ05NEli8TBRd3hhz/O85dbd//Tdb3v1U73+4EDrG5h7+HUB3l0+xoEXvoLnT2zqLr342jDoUPMVUmhwBFIbnMz4z58L3VzV4yKXIroM5vRnmOIE2XMm1kxRZk0LhTTJsnK2YlBJ8slXGXO7ytZi+G6E50XU3JBGY4TnDfjTuxx+5Y/WcWh+GtevsaElmPYT2r6h6UMz7bCv+zbbWUsTQrZ+JUlXAitPFroJ/dDDUwpPmjzAzN6/objJs9R2GLvU3REbJoesDFoMI5GOW7Oxgusmqc2nUrtT5f51Ebjaysd33dbnpivm+eU/HvHxL82xFDcZ+C5NV9J2bA2O79j6+6wZwsmSPunKJ3OpUmQ4K5p8TJRXgZ41OFNdjTNdzRh7ZzdCGeClhF727DmShcUVnnx672uFiTctLnUO7D9wnN2XbvufA7gxCZfsvuWihXN7P3Tm0HO4LvlwGQWgypJEFiMKTFHTUAV9udahqCEpkjdiTJZUH/kJT7uDZBng0tjZhRXmTlKQx3iOlSS+F+C7Q46ei/n9zzf59NdmOHxuinbDZboGU35Cyzdp6j0Dt0zBLfOkUC3V3r5nb5x2M+COBx0OHKtTU8JmDDMHhQLl5XOUJLbM9LLt8O039fjwF2foNxzakR2o44dp3KA0jiPTyV6UQO6WLpZdFbbNSn72+wdcveMkv/e5aQ6fnWAprjNwHZpK0EiB7kljb5zUZcpXv+y8ZvYhVp8XHnn1ApXj/opEGWf0MXtRr3q9GtjZv21vNocHH9vL9ddc/qE3v+G2ty+tdL6uVHlJgMdxhFIOS2ce2TJa2bPTk/O4rkpLLbMbwJ5YC2hdkiZFR41eBWqR3rVphswUF75ghDJlm4oOzIAt0imzWY2Lkjp1TTL2TnCd2HbuODG+H+A5Ab0k5Lc/6fGRz2/g1OIkWtWZnlBMe4YJT9NImbuRp+9lWqeSSpPUO8/B7dnsZRCFHDjp0w99ptI+VJUlnTIGzG5kU6pJiRzaTYcdW0KUP6IXthh6gnpkZ5B4qbxyU4niZK6HUBcIXhVzEwN+/F0Dbn/dWT7y+S6//6kZFoZNhk6NmqNoOIK6MvixsWyeNZ/Iorwhy26OMzmsIVdKmB/X57k0yYFeZHQzRl+ly42oAFxgb+ojp7vc++i+na5f3/K2N9xwNAojXM/lQo+XBLiOTiFMa873xSfj/oPuRDsB4lLLkxgDcfFsMvswO3TGzvYupQTuAthiTHNnSYfSyU0r35Q0VXkis6lYiQW4k+CoBM+NqHkhnhvSGYU8uEfyp3e1+dTXZhglLTzPY8YTTHqapmdo+IaGV4C75kt8X+Kn0sQmhlJnIgW459rM55EzhvufaBBGLn7TrAow8/Oaa3BLBGGkcF2HN97U4xNf7rP/ZJNhzc57CVyDF4MbadxQ23mNUqQyQhbDfTKAZx67ljR8h/WTQ/6v7x5w+baAj9/V4vG9E8wPm4yUh+s61BxBXYIvUxs1s1elSaf7UjkYB3qOhTGpwup4KgtC9RpsbhAliVKyiks3jP1jLn955x739a+9+ZOnzneuXVrpz/+tGfyBF2bkutozr9hS++uJicYiceKlvY4ZsEt9j4gxQJdfF79TLsXMT4QeX/RKABf208kM6HlKWeflnlZ3GxyVWICrJJcjjhPR6Uc88JzgY19sc9eTEyx1Wsh6jVZdMeka2p6m4RoanqHukbK2Ze66L6l5iponqHmkFXo6BbfGd63+Vk7AiyfhVKdmEyupvq0mTnICT/sgLchjLQlDh/VtwaVbhzx7PGYQuelwHfBCLPhUkkqULFFjx0xXSCmTP6kNGSW2Pvx9bxzy1puX+cpTPf7wS20e39tmsdegIz36noOnBJ4U+BLbwyntLnVZLY8UVrqIUu4hw3aZzSsx1DiTj0nSjNEzgCcl21iTOk1Uv5cYQRBG/Maf3D3xy//8llfceMWOL/ISw4NeEuCLS6f985H8neeW9je//eYuYVRPp7GqSr2wfZYFcM0Y2DNtrUuSZPzuvMBuKkKY/LlcoG9liU41t7ajl2WCl7kZMmK+F3PfEw5feKDFZ+6f4Hy3iajVcFsubccOIGq6mrpLKjug7on0kGnJaaq7PYGfsXcGcCfG82JqXogxEfc86XPsTJ3ZaYErdapjRdHom6Mgq9/ISk4Vw8Bl+3rBG68f8OmHQ/qRyzAS1FyDF1sWDyJTWqVU7lcjZEWm2EMWjQra+u11P+B9rx/y5psW+euv9fj8Aw3u29PifKfBUHgMPQfHVfmkA1dK3LQpXAmDQpSkYTmlv/ZjHOC5RMnKcNMjycBceh1nq1H+e7ZnFBMjwyFbmo82L91y7e/AmcuB4d8K4Hv2Ps/SSocHHol592tGuE5ClHaya6NWAVuXmn3LTJ5Jk0Jrl/XVBYBdsQRNCeA6tQM1IgW44yR4TkStFjEKEvafgqOnFX9+9wRffLzN+eUmuDWctktDSVquoeVo6q6h7kLNteCuuXYmoS0zlaVDpD83Kch1DnLPte1ph05rnj3ig+umy7wppegrFkRxwVMnxbopdpzzVTsCrtjSZ9+pBsOaoBEL/MgQKFJrT6fsnbkpmQVZaJXcZ0+tSK1VOn3AZRS61OsBP/i2gHfessKdT/T5iy83OHq6xr5TDcIVn9h3GDkOUkmbzgec9Dljcpl2SoksH/ENATwtuU0xkFACMGUgg077Q4sWxCTt7g+RZsgPveU0SffAZF/9wPf1BubDrcbaOLogwI05LKJw8E+/+Lnfmk06Ix7fp7h5d4jvxNSVJIkcwlClkW+J0XWVya0UkWMATyF8Aea2rG3ygNJ+nXWg2B0elEzwfTtJNU4Szi7C3V91OHSyzr2P1jm1XOfQ6Sb4PqrhUHMUTcfQdLR1Edx0cL5rx7VZEGeHTA+VApxUc6fgdhN817K3vbFCjszD3qMNXFm1B3OJQlEPXthjqZOiZTrbxeWK7UMuXTfgucMxg9ilFdnmay+2MwFVCeBSCoSUFSaH0pKuSzIokXkPZZS4BK5Hux7yD98ScNvVXU4td7nnMY/DJ3zufLLB6cUaydBFS4fIUwgp09bD9O+RZjwRlc+3CuAUsiV/JpMlplRAZ0qAzhqg0z7bUEOcIFSEVDE3Xz7kiQMedzx2bPJH3j/4Kc+NP1L6c98YwB99+K8xJv4eoQ82z8xL/vEvz3LlxSGvvTHgih0xG6ciLrkoQBlBHCoMxZKYLZGF7k4lSaa7M6CvyeAZIxRyRIisxcrqa9dPiBLD4ROCZw8r7n60wXNHPF44Uqcb+AShD66Haru2Q19Bw9HUSz6w72R1GlnZrK0L91NZ4nkKz5PpDWAK7e0m6dB9q/NrXoTRIeeWJIHxcRyJJw1OyWYbI/Ac5Imp9juGsYvAYW46RKoR/chl4AjrdERFwZijdCUDKbPMF0A27AiB0bJg8qxnMpG4icrHTwwCjw1TIdvWR9xwccAwHPK/Henw3FGPux+p8eyRGoeP14hiBb7CSIUWsvTh0p2lK1qlKIArOeVr1F3oDO4lM7zUPB5pHBJ27gjZPBVx2Y6Q190QcOXOiBcOu9z5xF6+fN/HcZ0LC5E1f/JbH7uTzz28rO559GFx6sgsx5YEo6Fgz2HNnY/GTHgx2zaHXHVZyFtvDHj99SEYW4Zab9rgEyNA28bTTKaQAX6tBc2U2FraeeBCGITURKFhMLLAP3pS8md3+QwixdMv1Dh4wmeh7xEkHjgeKBfVVnhSUFfQUIaawo4zU2nhkbKs7bnCJj3K4HYlXipLfA98j9Q1sSlz19F4bpxmRCPqtZDzywl3P9Si0/OZmhA4qRcvSzhYvUKm1lmuxSVBoJidUbz1lhF3Pj7keKfJ0JVWpjjgxgY3yjzr1GOXibULKc86kfnf0MYp/Q0LdC9RJI4idhVR4hBFrrVS3YimF3HbVTGvvDzg3a8d8eIJyTN7XYah4uN3Nzhy1gUhGQwdklBl5ZsYpyzKywQ29qEzpk6fRWwQ2tjmdKOpN2xCTqB5w/UBb7kx4MrdIds3J0w4MNu2K9UlGxJecfl5HO8J0Zp8nfq+k5+Op7e8+xtn8JnJyd8+dMq/5tjCrC3sbiRoHTM/TJjvJRxZSnjo+Zi//HLM7FSM0Zrrd4W8700j270Rw9xkwnVXBTRrKWub8v09/hD5cJ7OQPDMHpfFrq3ae3Svy2e/VmMUKUaR4sxZDy0cIuOihQuOg/AdHCnxlKAmjfV4FfjK4Ctja8Cd1PN1Cub2sr7MHNwq7dEUOXt7rsbzsgKtJGdvz4tQKuSrTyk+/XAL5TnWbqvo7wszeOaFWx1uxy6MRi7vvHXIZx7s8vF7JujHNZqpDnczHR5lSRmTdwsJkd1JWRmaLGn9EsB12gHvWCZ3HUXsODhxYoGuEpSyg/SnajG37o65ZXeEEQHvef2AUWTHuf3N13we2+tR9wULXcUzz3l0BzJVSYKXDj1t0VWzprnu2pDZyYQk0ejE8L43jbj20gijBesmNVOToBCAHVsxGGYmh2SuJYg01zjuzG8DP/4NMfjScpepyVb7P/7Op3c3ZaQmGooQSZhOPDJOAjpGm4RAJ5ztaM6u2GXlxeOaz37V6ieTGCamEl5xdUirbmuBXzJFmS5xUgpW+orHn/XodhTSkQRaEhjHMpNw7KwJ6SCkg5QSVwpqynq5vtR4EjyVglkVM/osyEXR8ODYRoCs8bgMbsvwaVmtmzF4UjpifCfCmJBTCx5hUMOfkHhp2lulVXmVLGbJLy4nwDJmTbQijFymWoqtsyGeGDGMfYaxoO7YIZhZDUmW0FKyXN4q879l/4ZM4yJdZE+1LnXGy7SiMUnzBirdeCAmihNUlKQbEiRIFbNlVqcrhubybSNCM0Q6mk5H8PizDisDicpcSyFe4lrbctpmTfPKayImJg0mrTmpS4ESWTznkcQ2dsiCZfuebZlxHElio1SrHuzecPF3t8Og2/X86pTaVQA/dXaB8wvLv3rwwOHXm6DPbE0xig1DLRhpRaQVWjqYTCfpLChIiI2mk6290tBd1py5t7Q0vdQj15ECIwQ623KBtOZUqCLIkRIl7Mw9X9qUsydNugWJSeefFIyXgdt1bEe93XqPHNy2rctuieJ7As8hLzG1DJ6yuGP3BHKdGNeN8P2IEwuaP76zCY6HK0URYObyRKxi8LKzkA0JzS5ckliQv/+tQ/76viEvnGvRT1wasd2U1lYBmqITR2U5AXKPOj+XedxWlFAUzcE6r4VxHIWb2Hkpbgp0mzhLrAWrrAVrg3udDg5KcIRBmITZhubbXmVAJrmtazXnS5B49v60g46LmC1OJKERGKPy8g9t0pksRuVEEMeKMHYYjSJG5tjrm7MnftXoeNUWbqsA/pefvgsppXfq1BnqrkEmqSWUgJdAIAShkcRGWktH2toDclun9DWGpKy5Vn3K0lImBFAss1nwItJtBKWwDcSesGllT1gp4EhKz1lTbamQyKE0B4V8j5+sq74AuMxli++ZvKXN83RpcE6Mm7K350RIGXLsrGC+W0M4Dr6kIk/y9HwpKZKdiXI6uqyP40QRxi4z7YDtG4bsOxswTBxGCfiJHW/nxqkOj8mdpSKFriqdCkUWUZYauksjHxKNk2gSJVFOtn25yneys0OCysDWKFFMxrJ/W5cMgdIwofQ6r+GTlfIhRYa7bEpoI/MgWafzJi2LZ46TBXgYKQZL5zn4/F2eWYNEVwH8+LETCAFROMJzhLVy0ovjCHDTGt3IpNNIDSQIkiyrSQZ4U1IkY9HzGGsXsUlqO0Hus9qpVNiEg0hBm0qA7Ov8eynZF6Wg5A22nhIW7BVwS/vsZUDPgk/y7Qm9tEkikyiuY/Wp50XERHz+wTrn5uu4EwqvXMNRdlAYI7NKmlqMBYGKUWAn2L7jVX0e3DOiG9cYOA71WBOm6XQli4KorODMAi37S1mgWU2qaJ3OVDGQKPs3HS2IlcBJZLqLXboRWAr0AuCmAHqaSRal3EQF4GDr1de2FPLvFpbxOMDTHIqRpXNUrHQZyKNEMQxC+sEp+HoA/+Qdd9Fq1l/9qb+596ZRkORzRVxDukGqNfkTKfCM7bXMs09GpKnUrK5AVNhq/E+XL3yWFZMUiQSV3lDZ7I4M7EoWGldlwJZ2P/lsFEIZ2PkcFIXtR1wL4FnAmeluJ5MlJtXb1Vpyz43w3JCzHc2TB+vgeDipPHFKBUrZ5xJjCLcXsaifzscuZFnHxO6CcP0lATOTQzrLDQaxoqHAje1nUYmxR1QGOBbk+R/KSKdUIqGNZXMt0EqTaIGrBYmSJEqTKEGcgjwuFa9l5RAyc4gyUKfBrhAGSbqFYak4q1wot0aV0RjAx9i8BPTsPRcsbs8VCBwVUWuqmzbteN2rDzx/9wOXXvnmtQEeRRGDAd+mtb5uMIqQys2HZIINmhKRZZtScOdp16LWNy+iugC4qwA3RUkmKSNRgLpcB1HsgFwa3lkqDrLNxVmnipUlKu9eKYCdNd9a9k41t0OutzNL0DJ2AW43r06MEER87ms+Dz7XQvoOnhR2/nZeQViaz5JbxOPZzPJotIyhrEswHLnccuWQb7+tx+9/rkWY+PQTSS2xe+U4sqhWzGWKLGZAFn/qQkwO2pFpt7vIwZ0oiVLaMrqUSGVKtmcJ5JWSiSp7y/SaFuC+gH2WA2MM3Pn7zVi83Gsgi0I1k53bAGP0dWE4/DadxA+syeAHDp1garL11j/+5N3fv//IPNqo1JtOL5i0IFayNAsjzUDp9I2WwZ1JlDXBDSXNWFSnSQpgqFLNQ16+KbKunXGgkzI4eRtWhcXTbhhXVcFtxymMMXfas+ml7W2ukzUcxKUjIiTiL+5pkxgflWcvywFm0deYORsVDZ7uRpx3OWmJTu1CG2w6CFze94YBf/L5gBUdMUxqDBOBG5OzeDGK2qS6WIIYrz2SFNZkqWpPCxIn7XZXKcgdg9JWriTSIJUmljJ1bGQB6BKL5wyeMbcoknVF/uelQF7ECquL8ijKP7RIBw8VDC+FsT0K5iS+Wvj+jZe+7d5+98SdzfbWKsCXeiO0lJfsP7Wyc//JLpun68hUliCL2dbGgAK0XKN/Mr8TC2SvkialLwqJUgyckWPMlzH1qjmD+dfFbI9sTxqVglupsWE3KbAdJQonJbcDbce9bUw2+RaGGXM7Jfb23ZAnD0oOnK5hlIuSEk9qK6lEWaIUH3LcRcmOrK2v3BGV6cwodtm5KeKKi/s8/GKdSHkMY0FNgpsYnNjukKFE2oUTpzociUBT/ZNiDDDV0R1JXtlo610Sld6wibDaOx0BnbG3BbosAbxoH8xmqojSda2CfTWJl+uUylZqBeCVvoLsH7ZNG+3GGaZap3a6snuJcvt3rmLwc/NdhsOIMEjwHJVPZc1qgIuTNAbqCsDT3zOrP8A4wMfLLfMlnTLAq4FU7k5IUEIU3fOCvNMlY/Js38vy9t8ZwMvDf2y3PTmw82xlztxJul14Glw6EYaIv7ynweJiHeE7eBLc8RtxrQCz4oMXvYflOu7cm9aKKHKYnZa89409njzYJkhqDJRHPbFaPCtnVZIU3Nlakc5jzwtzLYuXO6aKER7ZDWabfB1NKpWyFck2byud1QLJPMmUNb6UWbwos2AVk68iuXGwl94fFayNlVmXQCUEGGmIY5fhIMEdLKGTorgwB/iH/+hvUEpyfmGFdW2F51QnMtk3UABYl99EBmRTviNXfwCR/6cE7BzsZhV7l4dnihzgImfxCoOr4rmQKxLlVAHuOekAIDfbOjDNcDoGN0/F6/TrpHI4ynbuvHAMPnlXi0B6KKnS7GV1Jst4BvPCzMWYDk+1eKKIEwc/cXjvW0Z87IsD9hyuEymXgZR4iU7dI4FMTH6ubOAn8rIH+9Dp35JrLP3j4LaTfR2dSUGNTLIRE8XIZeuoyIoWL28uZsFXqjQsDfdc01Upr/iV+K0qV4oiPfK/YWvJWwTHj+Oe+5Qt0ioD/OjxU2zfuqnxM7/w2zs6y/O0anaZX7WqZiUE+RuqdlIz9ibH0S1KOqz8Yctuw3hwli31GXByJi+POyiNPyhPbXKcbJPXVHurMXBn6Xs3a0zWdmZI3iKW9XTG6RGh3JADpxx6oQfKSeWJGSuPrd68q1yUkh4uN2fnqXRdTvw4NF3B7s0j9hwISbTPUHvUEluz7aQaXAm7WatNLGXBnSYLMgsmL5IqWcOvk4/wsN9T6bBMmzGV+WTgvLgrHbscy2L+ejXQpKLHC3KzhvM4o2egyX9zTPYW2pzKKpRjKQaw25FP1tbvuOG2f9zoLH1gMDG9yQL8xMkzLC933rJj2+xP73n2WZq1olinAPOFX1fazPKvV1P4eJtTBdSUgS2qAC+BuzyWrfKsiiGbsiRLyrsYu4rUC7fgtgAuhgK5ZXlSZm+V9nV6IUs9zX/9qxaLwxrCd608kUXgm41eKH+uCz2KfsWiR7Vg8Cxj59BuOHzgO3t85ck2i4FHKB2GUuKlPZTFyIcsaC9AZG279HqiU3DrUglz0fDrpGPTsiA9A7vKQJ0XkGUsXgBcZD8j3S5yTKZUr/8FspymyuA5s6du3bg2L8sYbRSJTpjasO6nz53a/0AUDv86Z/Dnn9+L7/ucPnWCmqtRyiFODOXJU2VXpMLkq5j7AlezdLHLH7jK3EX3S97RLQrQZO6EZfESwFUxfkyVQO1IiZNKEicHeKa5dR5Uuo7Owe2mvZxFR74Ft6siPC/kz+9xef5QHaSLlBI/G1chqMQteR+mEBWZtwrc5YRPXi9iQR5r23IWxy5X7Rzwrtu6fOyLNbTjM5QevhR50kdJQSSyBNNqJhdlJh+z4nKpokAZuypoIyy4VeFYJSnQpRRpYFsYBBnohRDpPJXsBsvaDbMVXIx542viPD1HhVdeYfAs15KSQhYgD4cRJ0+eJow94shuDOEAzEw18X2P2ak6k02HSAtEVBqJXOmAH9fZpohos5TnSzxEukzJMsgzoEvGAC4qbV9fF+D5QEkxlujJAG4tpUyKuKpwS9zScKBCc1v2dh07tWq5o/mbr7ZY6PhQc8fkyYUlClmNyNgVXNO2K9WI61SiRLHDVFvxHa8f8JkHRyz2fULlMExkak+mgBOiANy4PZeyd/YtnbN50eCrTKrDlcAxoGXqtEhIVCm4lzbZl/VoZqAva/DMQarMVcmdlCpIbL68+r1MrlRlsaiSQmoXJhrCSLLcU/h9l2bgEdutRXEGK3upN6YuOnnksZ9aOn0C33eIRzaoEMLeJVJAtsf5anlSPY3jX4vyc/bhKhc/c07EmPYWeT19FlyKDNAVmSKKDpeUtVUZ2KrYi97JmFuVmHsVg2fjJoqRE46ymcsjRwUvHquh8RHSuieOKEoHqg6KKLkaxbJVzu4W51GU5Ek2fbdce+GAcbhse8jOjSMW99UxiWdZPLEyxSm5OLmTQbnQKxXcWRkt2Nd5c0r6XqTIrcNybKO0BbguycUk+1qLEnubkkQrNymbyrUvmw2FqC2gb8ZUQcXBy4gB8iH8SdpZdv+Tp7hBXvxTb3ztbU8/9MSBo8655YR6EG04sRC+9blDx+kNZzAm2yGBvM0qHxFByU0pvRHG3tj4slwGeHn0WgZqGNPeFQYvOlfKQ+3zZ0XB3LkPXj7SLa1VGdwlkKf71bsqZe2UvVX62nEilIr4/MMtDizUwSvkSdk9KQfJWfD8UitaZcBNOT2d725WKqMNHS6eDXnHLQMee6EB2iVOrBZ3k3TIZ1KVSgXAsqU1sw2lLRXIJUpJrsj0a5muKjI77LlP0hXDArscG6UrsC6YvCyTqlWVZgwjJWCPr3LlqsgKIVTlnRKG2Uk4tXycdbOjt9a80YbJdnjUObsgmZqAPQc87nuixsYZQ8214MnY1f5D5czkWuOMq2+wcl3LfvAaS3cGhOpk06ruFqIK7FymKFFqwi2BO51PWGzbwWpgO8WAoHzEm6NTkMdWnqiIeiPk4f2Kv/5qk+HIg4aDIwWuqEqT8QCz8lnXAjjFBaqOLSslfNKAM4odJloO737diC8+OODR/R6m6TJM/LTCMitOK7NnIQkZA3m1QkQXN5iybJ5Iq8czgCd59likLG6K65NLlTGLtwTyiqmQFS4IU4bIqtU/DzhN9XyNSxWw763mG958veKKnTDVTGg6BgedoJMYF027Zvd0UWr1NNSq8W7/3Ev2L6zB3lA0qFI+CaWlNGfxLLDMNHgJ2LIkTWSWppelgEiVy2Zt+1s2QtlJN2FyVBXobs7W9lDKBpieFxKFCV98qMELxxvgugip8rJdlTGmrK5640meiqNSZu1M+unVXnh2ZHZhGDpcvi3mba/q88zROkHskUiXoVZ4CcV7yYkip6NVIDdj7wWV3WwarQQqW7GlwCjsrnm6AHpxLUqzDHV6Y0lRlF3I1W7ZuBd+QQLI36RgPCjPNHk5nglCiTB1RkOHKDCEgcH58t1fwnEUKytdNq/zK9vdVQBtCh1O9o+PMfiqGPNCzklpeIxIP3EhTUT1WawGdsUDL5XJFgAvJqfmEiUFt53xZ3KmdvLn4ms3DS4dFeF7Ic8dE9z5YIPB0IOmixRZ5WC5JmaNLGbps5Z5ymrgFHCpB111U4q9KZNSAVYYubRaIW+7NeAz94145rAPjsdIS7xMi2uIkiILLASIBOtcCGELiXKwF8A2xq58uXSRls2zVSVPrqVAz6xbZQRCl+1CkQI9PXQacFKWoya/7i/Z+EMJe2VPvIzNDJ+JIAgFHV3j4Uefxd9zBK0TnLrTsctOPWZ2yiMI0x2wjM4TATr9V6tmO+X/XIi3y7X3q0BdliKVJS1f6gWFRZhqcFWM+B1nbTvdqvS1U54Pno0MTsGdHm42hTYt8HdUbA8nwnUjYpPwuQfq3P9cHWoOSNvQ7JZKeCulseWj/OICDDXOSEWjlHVUskAzA3owcnntVQPe8eoBzx+rEccuRiiGwsFNivcjkoLFV7+NKpOXYyulMua2bG5f260gMx2eAV2mDkueu0h1uagEu+XVudDj48y9JtDL0qQC9HI21p6vxNh9OIcjyamFDog+AM6mOXvROz3DYCABQxTbzg5pDFrYD1NN8pjK8nGhx1rOCWMfvNBpZSelYG2Rs/ZaafrSke5Y4OQMXjoy5s6YXJWBneTOiXVM7LNSEZ4b8fRRySfvaQEeSBchFG6e3DF5cVW1xEDkN3F6K5e4W+RXreyo5DUh+QAljU5s656dQqvy9L0xDu97w5C7Hxrx+CE7SSDSikEi0oKv9KZLUtbOFLcor7H2a5NWz1WAnh4qBb2Wqf2aA6qUWS4ZEvnXunRtZXn88tjYt9xJuXDip/Qbqb2ZPucrXkoGCYQx9IeGziAm1nZ+g7PSs290OCR1T2zABvZ/FMJUmcaYyh98CfIe01vFcrQWqAsmF7klWJUmRQXhOMiL7TgK5i4G4JeBXmLt0rOT6W+V6e8Y142Jkph7H63z7ME6uC5IG1x6JWuwKCdg1SZOVdas8qcpfZE3QJQzi+XqwkSiVZrdTByC0OXKnSNe+wrL4sPEsnggPEbabo+eB35JZhcaO1KKKsjz0ubS5cwY3CiDTP1xOzlYIIzACJBG5CyeA1xWz4cugb1ahHVhbFwQ42NJxvImCuWNg6WAZl2BUIDBOXDctjmZrLSNDGSANPYDVZbSkrC/QLV3yf1ZxdqUL34J5BmQK0CvuBPk1YNF44Op6O4C7CZ/zpg7mxfu5KAuJtAqpwTwVKJ4TsSBM4I//GKLIHKh4abyhLw1TVUyhyXnpGIXcUF2utDSW93+ZS0t7tD0JT/wtgGfu7/J/lP25ku0YpAoW2WYpMmfLHOYpGM5cnoSlWuYg0eVVmxj5Z4xII3BaLtRlZEiBbjIZZA0hfYuTIKxm12I0tdj+FiDIPNTZcbOWcUiLA4hwPclGyddGnUHnRjUH33kN9fXffc/Hj164jIoQEauk0pMO8ZQGRBFiXmLu7nkVQuR1g6XkjJSptaerLyWSlYsv/w5a2ZQ5SCyHEiSMnQpsKyAu9DfbqWYKt39wYnyZgbXCUlkyMc+2+BP7pwE3wdVQymHhrIzVzxl8spEN2tyTlvjikzq6gxrUdY7LrEoDfEv4gghQapyu5j9WhjN1g0hpxYkTzzrEQsJQqGFQghbSjsOKLGKKQsyypi0zFnlm69SKTpeZFdy2LLbpwxCKgRZ3WSsMvC+BObyrg8VMOvq63JduzGWDI0xbLno2g0X777ly87BI0cm+4OVtzsqBuwg8awGTcjiHxpfIsbOxaobrxxIiPSLihYrW4IVmTJWXJVJkdySKutvU2LvgrVzeVIBd7adiRmTJFmlYMbeEa4T8eJpySe+0gDpgLTsnXful7uJyisMjAGKCrPbrFmVvYuCq1KyJV92ha30y7KaJk3fq1SLJw7f/cYBn763wd6TLsgQIySBdhmm8iT35ZMUiknJQcl1eMaUNmWeuWUq/Y1sQ1+rwQu2thrcpJnM1B83hQTVFTJMT4Gp5gbWsg5F+S2OvVvWuDnychIAI1juBPR7i29fXmTSeeHQiF4nZDDUtFrZclSu0jKFJ3oBYFcAnuvvIrAsgq4qmMerBkUJLGJMc2etagXAq+Au76pW3YDK5NLETUcPO046LD/zu1Vsxy+n8iRRMZ99oMneA4X2lkJa7zvvoBl7v6WluFL+W3Djqgtmv642IK/liWed7zqRJDJL4VupcvklAe98dZ9Dn/AJEwXCIU4cBoh0Gmw26lggMUT5RaqCvHhfZZDbRm4js4CzJF+EKVL8wnZ4SVOUdlQlSgnsZQvxAhLlpazDVX74GJsboO7DxtmY9esCnEu3eCw1XEYrCqmy7g6TBzoyOwViLMBcg7WLN2ffscyYuxRcZq5KOSBZ9ZwFcGnGrBpclrcJpApuWWLw/Ch2WctS7/kWJ1LjyGxovp1U67oRh88o/vsdbUbSTRncKXXNZ11E5XR4manF2idmrQuVL9+pm2HG27PKGrzIbNoJTw5x4uInMf/49j5/dW+DQ6cdUBFoh0hYFldJdsMVerx4gxVuzNlLZf68tGCXaQAspSU725ubbVlTMLdJz4eWInXgqvVFFXIrAbuwjqskufaJG1v5cpuw2KJwEBqOnXHphTWcDTMJLpozLdutHUfpJiXa2C4nXZqNkhUMjVF49c2V55wUDJ79nkwzW9nWG+N130JUWbtocjAVaSLTbpPCIqzKFKfib+sc1EqNuSYqG08W4zgh3VDz+59pc+q8D8pJrUGZDxgq+97514yx0hpB1Utcr2oK2pgxFyULomR+5M0QUpHEDpvnAn70XT1++Q89OpENCIyRBFpZ2zAROcjLwWZZC2Q+uMk1tB3dUb4BVequZOUbNtEDwhg7jSy7dhnY0+upIa0uNKvAnr2NcdmyikEvEBtU97c3xLGm04uYX45JRIJzdsmh27Vjslxlp9cKk74BUwim7MY3rL7b1nRNEGMXe/WxqqmhtLTl4C4BvehaL8uSYtNXC3BdAbgFv0Y5JdbOdklIWVtl2tuP+PjnfD70l20C7Vp5IlQuT/Km4rUKrBgP5ta6SqtZPGdzShnNHHDZmASD1np1Cl/bGX01J+bH39PnxWMeH/ms1eKgSIRkpFM3Jcnel8mBXYinqmjKBqUawEiTa3BjLDMrI1KJkgI+Z+8UdBlRmdSqFPYGEMJWAObnrcLiYk0WX8XoJRyWrets9+QksaUDky2H2SkHp91IUDqh207oDh2CsnO7xjWqRN2VwEBU/p9V9d5lYKf/7wWBvaY8WQvcZddBV0BeAD1JgW3HkOV1Jqqkv5WdNbi0DH/1lQbLQQZuC3BXYr1vMS5PyoGwyD/bKg+8dB7LF2Yc5JWqvtLO0JVOHy1zLa60QmuruSe8hNvfNODTDzRY7CmQEWhFhMNIiLxOZfxmLBBkSu/RMnnO4NJuX5LpcmPsOc9uSi1Fft2MsQQpBZi0RtzkILaAN6ZMDGmsVunZFBVsVcjzpR4Goliz3NOs9DX1lsHxawOiqIcWA4LII4qLvQrJi6OqmkSU/tqFouHVy3WVtfPXpVarAvAlt0SU2qRkSXNn44PVWICZMbQswK1KWUulkhJrl9i7EfO5r9Z49Nk6uqS9lZSlwqpqvckFAVM6Khha9bDAKmy4QqKMN0OUh98kRqJKvnicuDg65pVXhXz7zQP++PMeqBCExAhBoB2USINOUqkyblWUU/cZzFNzQaU/kcbe4GU2zyWJJBsJXzB6BvSsZKCCh1LXUdlxy1aXcXxlOZgLAF1JEK6kpiVGRQx0QC8e4Ty8VzF/XrH3Odg0k+B7RQax+MNVdq6w9xr6aS1ZkjF6wdam8rNq+1OZvU2Jwddg8VJgWQZ3tp2gUoX2VipJJUoKchmjpB38fui45A8/1+Jsz7P7XUs76F0JbNdMBdirb9RKEHUB9l6DcFZZX+PNyAWbSzu+usTkKi2lVdJuf7K+mfCD397ngWd9Dp2TICJAoZGMhMw3kcoYk0yyjIE8e3PZRDMyKzEV30aWqiCzYDQFuRCghbFlu8YU4M7r+7O/OwZyyL9ejbksrjMp0Mu4E/nq6UqYbisu2ym4ZHdCu61xWo5PT9YwsUsQWr3qIBFqvOLvwsHAmjqbtQBQsHNVg5sK8NfS3lknt8xHB9vvOVKn3zMVcFcDyvRZaqu7ZYIjrTTxvIgg0fzun7e5/8m67W2TjtXeUqZdOxTzR0pd5KsCzDEmL0u8CujLwB53BUpavDzSLZ9hYmQ67zvT4ook0cTSQcUOr70h5Mfe1+UXftcjiKXNQGlJnLoqRaWfeEkmp/Rdg9XdZEydsXuaVLFWoX3fGTGadBiRzkjLpHJFro2N7GYb/1m5gUakfyc7lyZXF9aVy0ZjK9MgCVpEbgNnqq0Ih5Kpth2IM25yrwXWC4K6xOoVL7jEzOPALhjc5Do83+S1wuJlaZJJFV1h79Xg1un3S1ZgBvKUwV0v5p7HXT59f4MgdKHuWO0tVc7e+ezDMeZey/4qxyqCIthei77LJl3RuVIGt+2kKfcglrW41BJVAnocO9QbMbe/dshd9w+5+3FlbUNhuxYi4TBEFDLFjHf7FCDPXBOR3nzIQpebVJcbUmCTsnZapyJSYsoMCZkC3gL2Qh0/ZfyUfqe0ytiqmgLxIpNCpXszSgRLXUljRRJqiXPibMjSYkQUaZqNoix1fPestQrXM6vvgqxNdYzwWsDOSivLEiVLUVtw64r2Hgd7Ae4U1E5hCRbSRJckS6q9pZ0Su9I3fO6BBvvP1Kw0EbYkVuSJHUobolalSuUz5Te9KAH964ZFZO2AmPGiNopCqHKNeFZpWCqjlUIhE42UDlHgsHtDxLff1ufRvR6dUNqLh9XjIQpJyTbMGbwqT6yWsa+zXRvy5I8sOT0i88ithNApoLUh1+hGrAZ6Bly5itHtuViNqQzoFuIyKz7Jko9Z9jexe55unouZmQlxZickIlbMNx1cJ913sZQqr4ATKp3v2YUs6+ucvSsDYKrALtjcVBk7kyuqLFWquluKIrCU0mYqZQbuMtBVsTNB+TkDt+vEaBL+6PN1PnRHCyMc63unzollbytPxt2e8eROhbmzi1de8S/A3pVWLBjT3xmTl1vZMstQprahTd1rqVNNbrcIlErz4+8ecPC0y4c+7RDFaY2BlmgEgZAoPVbCK1YzedaUkb0/lQEau29OlsUss7kNKouGhnJ/r8kxkTJ0eiNn2lykOiSTI6L0e5Zgra633rrNzJKOoANBnJ7DMBTMrygS6eKsn9F4wrAwrYgSe2uuAqZczVhr622z5s/HA0pR0rKiBOQ8gCuNCCtLEllxTnRJlhTAVtmM7myT2AzcuTSJUTLC9SIOnpV8+t4m/b4LdVWwd9k5KbeliWqCZ82VK9cnXz/JA2OMXQF7aaKqTJ9TyVLp+skm00qrxaW0Mw1bzYR3v27AF79W5+CZNEOGZfNEC0aInMmlXpvJrU0oUKU3Z2S26qTBpii9f5kFlenqnnbzmBSkWTBoUlkipUiBbHKWrwTsmALouoSh9D1qBFLbjGk25TiOBd1+zJn5gFCPcJ49FjPoxXT7mmYju6OKi7ZWUkOOX9Q1l5oLA3t1sFlicmllSVl7F7Ik2z7PXBDcuRzJnRI9Jk1sgVUQae56pMlXnqqDr9LA0lnF3oU0EaWbMpVojDknYxr8f+hRQneldLbkpJhxUKcsnunxREhkopBCEQWKN10X8qZXDjnxBZdA22pD0qHxsXAYGZBalN5AedlJX0us94fJWdx+L5UsIg02dQFymWXARZW1TSY9UpfO6HR6sRElvIw7LJSAXgrgpWXwjMmNLmKdyZbgussDtm4e4GzbfMnK2VOHv9hxTvwDq5lFvtRWxgGUsk/5Rc5akxgD/yopMgbsMRbPxu+qdO507jerMounDoowBcgzfS114aJUgF2tM5HSdupIL+a+xz1+5aMTJMYBx00rBh2ElLiiKKpSYpzBSyAfC5rzwHJMsrwUe+csPiZTdO6Hp944FLsdaIEWVZBrLdFCkWiN1A5xbPcX+pkf6rL/pMN9j0m0V7C40VaPV4LhCtBLIBekAabJb0ApS5Il1exZD7CVJSb1xkusnTKzNBljF0Gp/Z3VAWglkDcmP7fZfZdtWyiyfAIGv1bD8zZ/cd36HSvq9rdu7TfdxUPthvix4UijzRqlq6XnopOmOrO7WgiF1dGl761OtVdbzcrBowVzKQVfdkqy1Lsya4JbllLx5eROudfy5JLgV/5wggeeatpNeaSXA9yRgrok3VCqWh679pE2ZuRDcqqHTGvepSq/Jr2hS+dUUMQ/ojhP4+XDIv++JYMKeeROVDoE0xhmZ2J8x/DoHo+V4XjQYDU5QuQ7bIjKEjR+d4rqCmWqt8L4LXLBtsbSv51ZjJWVrPL7YtV/ix+VZaD9bxQnLPUdnnx+4Qe/9NX9+50wGqE0RJEhTtLpomMMXpzc1f2HazN2VYtX9HaJscuD0zNw5/ZgaUxv4ZroigbPiv9Vuq2dzKoD8+c0UymLctjES/jDz0zw119tYmqZ7rbyJGfvivau6u/q5y7X22Rr50viYpUYIE2B54AwjAWc2VgJ0qE8qV0oRV55uMpZSaVKIhzkMOH21w954bDLr/6BQ+jHpXVeoI1LoNMPVA4CklKSp5QMMtjaFqBg7JRRkSYtlxVFUZZOWT67ObGN1QVGRLrTcYafgqmltCuZZfcSvtJbShjyFrpM0ztK4IkkHbhmcB56TqQlkQm+imjWXaSblrOWmgtEibEr2rvyhwv5UdXgBROVQZ6nu8vTSivzp8vPuvS6BG6VSRELalmRKen+jnnNScLdj/l89AtNRkk6BV9mh9Xe2W5ulSxqCegXDLTHZcoqebK2VikymYXOrXTRpIA2sqhJMbI0P0WWvHFhkEkqVYRGpHLFdzU/9I4+Dz3jcfdTMmXMzD4UJDiExgaduS8uSyAXYxo8DepUCvBMk5NKF0TVVSEFqE3hZ3MMKTzzPKi0ujwDK7pkKYLNjJJmQ2UaYGbnOt1cbKIp2TgnaTTsNonO/pN278Smp9k2ranXrJrP+x4VFd0pV4F3rQtvqoxf1tuVaaRZgFoerF6AXKnse7rK4BUNXgSSlU1Lpd2dV8o0Je9EDAL4pQ9PcPiUj3GqgaUQAjcLLsdT8xdykVh9rIoyKyivgrzSCjbugZO1caUOAaUpsJUsp0ALaXdPkzq1Eq2rorUm0Q4y1Fy8OeJf/3CHh/6lT2+UfgCdCRNJLBUjXbBjIXRNJdDMPoZJf250ic1FFmimjJ5WEeaVhtlziaGLxaSk0UVa2y1KlmL2M2299uzv2FNc2JGNGmzdEDA7qYligXPdpTMIqYiCPkTLdsPUvP/RrHFxq2w8DuzK78niuZK1fAnWrqbniy3rCllSAnzZJcl8blkwt5OC23Ei4gT+26daPLWvZj3vNB2PtDsoj7N3HlxiVtd7lxi6emSRv1hbM5a6Z8a/Xa1LKfY6WiVV1mqISEcISy3RQpMIidASKdIWN+Egteb6yyI+8F0dfuPPJwmTjMVFrjVirRil7zuvGc/erzRpb4BlYZW99TKbZwkgXQJ6yrb5/Z5+Tgk5Q2dMn53D3GosBacZ0IvfLSobDXYrlSgRjAJDP5jFjxpEscb5sR98F41Gk317n+fer95Jsy5wHZOPbyvsv3L2cZy1x76WY6wv1tbcRRA1DnBTZeoS2Aum1mPMnQWZhUUos2rBWsKXH6nxkU+16Axd8DLt7VrtXWLvVRusjlmZFZ+2HK+lbF3AV4wxe1mTVNP04z/O+14rGjyVJqYkTbLEj7TtY4lON4YyJpUsCim1rVeJFe2a5kfeM+CJ533uelhBI06ZOT2kINaSEZnXnIumlGYz61BkQ+NTrStKsiRL/mT62zK2TF0WWTpnpoSPPGCUhS1I6RybbAzGmGee1YFnRxAk3Dx3E5dccSWDfh+n3XSp1V2mJxUbZu12HlkGNEv65J9hlTR5Cdau/KwUXObgrzK2KNuBKWuvBW4lddplXgJ4OZmTsXkuTWL2HXX4759scXDBtUuTKKTJ2ux9gXT8BfV2Nakj8v+s8cgobLwWpVxJmGUPc8ZO9yEdmwQ7ngySWWGWMAgh0dKW1Nrr4CAjw87pmH/83h5HzzocOCUwTgngAgwusZEMTSZLqNR/5AFxibnLrzPZgC6BXdgbRQjsyIkSi2f1JCadaSh06SZIVxFhRIndLZvbt2uK8xkZRkIThhH9kd3xIdYKp1FL8HzNdDtiy9yISEviRBAndlpQ+UpVU9RVhq5642OgL8uUkva2ronJgzklDCIDc1o5KIUuBZm6srW0kmOsnTolUsZIGeH5EWc7gl/6gzafvqeBcQvHxIJbIQQFe5c872KD1arPXWloyPXjmOQWYyAfA7sZf2FWv861dulXbH1Hqa0tT+EX3niSzi6RmRYXpaAz0bhS8+7XD+kEkp/+dcm5FQF+ikLbW4bRLhHWssxAbjBkLYxgbcy8+FunelinzChNztYmPWkmmzOfeuAVRs9Oky774ZQY3xREkgaqZZs+0TaOjBNY7sSs9DVRDKPQID1P4Pve2Ubd3Ll5U5Op1pBGLcFTWZ1HCYT5xc+2rxvbtyUDZrnE9QI+d/k5DyDLzFzOUKqvA+5s//SSc+I6MSGazz5Y58uPNYpaE5nqbumAkDjCet5Ft85aw+xZu+8yZ5oM6KIAdxnwZT94HMzjDF5hblHo2XJ9uCl2AM4TPyarGS+KsLSWaKPyakNbcaiQWvKWm4e881VDPJFAHIOJQaeHiTHGEGoYGQi1INKCKJ0gFWdD57P9NQ3Fa5PtuUmxzXtpm0Kdf8/k2xeWJ1PlTe/pz1d9P0uApf9WnEAUw2BkWFiJcevThLG80/X8sxqFbE9fxuLJzx11Ve+/bt7UZv30Mo1aXDEDygDOkxqq2mGzNmgzwJfkhyglbEqJnEr6fWzIzdcDdy5HZJqtdCJiofnMvXV+9SNtTi5kulthS2Et0GWW0BGm5JyU3B1W+/y5bZUztagAvSznyqyeLbnjLL6mBi9EgRUIJXCXwZ8BO9s1rRg3UZTQ6qTaia+1QxQ6bJ0x/PQPd3jX6/u4IoYkBXkO9GRtkBuIjQW5fR4HfAryfO8cKmAvgzZJG4Xz14Yx0Ke7MF8A6FnmEmAQwpH5hObsRhZ60X/9gz+/5+jN1+2ye/R84dEE34t58Yhh4Zzkmm0KR8p8HFa243G542YtnT0eSJYDytx9yWRKOcAc19yicEtkBeyFxrbSRec+dwHyGNdNOLIg+cgdTfYf8qFZliYytwWdVHtXhvisEVCWvf2KNKEM5K8/CvilHlntiaXsqmVYliblzntZZnUtSIRAmDTIzL4nJcKodGBPCnShiQPNZRfH/NC7ezz2rMfR+VL0J0W+66CRikiLklWYChaRKuQs8EyXOZMmbSpWUyZjSrLDpDhKb+G0BLZYAfPe6CzoTG/8wtjMjABb3r1lLuGV13a55upFNm6YI4qtH+QAzM7dQKtZZ99hh+f2n6chHDbPSWqeHV5ZLY4atwmr4C9APuZzV/7/1Y6JEGM2oKiyuCwzt0glSQ5u63dLYdPxSz3Bf/mTNvc+lY48TvV2ntQREinAw0qTYiJrqcn56wSYmWQZZ2i7w3ChSL4eqCtJnZy9xwYBlQPQFLwyrVfJAs8c2KkWF8IGm1JrW7cibIYTFEJoEqFhoHn99QH/5P1d/v2HJ1keljwfCVmTpZbSgrwUWBhpNXPmqGSuicqCzVTyWdsw09smd1isTciYs1LUqGTa3JTnHaaoz5opwOZpfFeycc7hxssmuen6S5nbeC1xNMw/Blfu3MQbbr38rpZc/pWrLmohhZ21nFUWjk+Xyuuyx7ps1sw+qrI7olfJmNXsPAbocXBnWnssW6nSFrSRNPzuHU3+4FMtepGT7mg7Hlim7J3VzYhSYqdcY5NG6tUiszXGYZTIKkN8CSpfH+QlSWLWAHy+P5Ipdicu63GtqWpxLUs/k5X2Nm0KuZIkDi0Hfuw9PX789i71kgbPpYqJwCRoY4gMjLSVK7GGyKTPupAjcarLdVmypHo5GZsGm8uOVd8z1f+3fBhTmk+YFukpiBPJifPreG5f9Ct++9q7lLfd3gAA/+U3/xOtVjMSRJfWXPMdNTemURN4bjZPe2wGSVoMVW5GqBRWiTKIV9eWqLQkdlWQWb4R1Jg8UQlKZIFkprvtayd1T3A1zx70+A8fneD4ed+m4kUpHa8syB0JNWnb0by0mMpJW9Nk+np8/ngxH7HI8lb27xSlIf2yPC03HTxa/pkskwZFE0mJTIrkBmMNKKayWlZdrXLWryyzTGmlMSV5Ze+impuwbkrzwHMu5+ZVUfxUjaDT1UXkN6X9N0pJnJJGKxdQZbZzJjPyVeDr3/mVm5/Sv5N9iGwArNagnDpByJ88/PADD9722rcXEgXg3e/6Nly/xt49D3L4wJPUfCcHdwbwsptSzlyu0uO5VbiWTCmehdCUvW9RsgSl1LlFmDN3KaiUMgsy08DS1ew55PKBX5ni2QM+xs1kSZatzFLyFDMGx9g7lx75YYpgWxQXs7h2ogqy0v/7jdSFm1VflN2UQqqwSqaI3G7JWt6yEltZKcAyiDSVL4RlRiGsL66FRGhFIgyEmqsvifjtn17hx/6DsPPQPVIbkEJ7SweNIkrlRQZZWxNudbZKW92MpjihuujRVPknLforzZhUMeVrUSq2yrZSMWlcCIIQgzGa4TDkiiuv5k1veA3D4Sj/KznA5+Ym8LwG8zMuC80Yx5F5t3oOSkE+sV+OAbwILKtedx60yVJ6XpTYOge9phxUKqntzzLNLbRl8BKwlYyRIsJxE3pG8DufbvL0Cz5Jbgdm0iTrs8wCS8aSOtX3W5QUlKXKmCQRVaDnhDeuTV4q8jTVL03+bxV11xVwk+Pa6m6dspdIgZ3rb5ECWyCFJDEm9ZhFnsJP0gHx1mM2qMRw/eUB//u7+/zMb7j0YuxJyioNs63uJQXIs2RQ1u4msgAzDSyp6vK88EpmiZ6C07NuoTSzXwF6EXSmMYcg3T7FoNI+zCBIiI1He2Ia6QxWA1wpF+V4B/1a41C7Xd+ZxCMcJSuJm/L0IZkHVdWqwWqhVfa6Kl3yJE8G4nFQZ+ytykxeuCUyZW0pY1wvYZDARz7d5JNfbhKkFmAB7MI9kSl7O1ksMc7eZUALUzgnGZhTer9QPUoZ7qvHt10A4yXvuyiVLeaO2Fqnsu5O5weO1aZoY7vkMwYvszhZdtPYFHiiLZKEUCQ6BXliWxff+8YBe485fOSOFv0oZYNsnrYh/1qjCHUGVmHdE2mfs4SQkkWi3waaRTCaperLfZzZSItMhkhTnNes71eX5JnUglgAJqHZaNJsNg7Vav7BMIry85slVpmc3syJww/c2Wo1Pz47O0XNi/C9BM9N8l2AK7snrBFAVlLrohSIqtWyQ4553hVw5xq8JENK4M48b8dJ6IXwB59p8h8+PMH5RS8tfyw5J8J2XmQZy4y9y87JmtbgGLhlumReqPCqQtjfaIS5BpNX6sGhEmBWAksj8qKs8kRaXQk20/LaytaEWUKomgCy02oVG2Y0/+qHu/yjd/dp+VHhj5cDUB2DSTAGIg2BgdDYRFCcBp6FP15O+og1EzuJyUZijPngpQRSnD0ndhe5KIYwMoSRoT9MmJyepdVsffxzX7r/zh3bN69mcICaL3Fc7/O+x7vqNXmdIC7qUigGpRcXszRPLmNrKJXJGoq6E121CMf97tQmFHkBVVICfpGtLLsm0tf89VcafPAP2pxddqwtkrslZeekkCZuHvBW5cdatScZQ8v8QxZP5dc5a1eKrcrfL16UqwYvxObVAKuaHMqaH7JBO0WtStoogKj640ba5V2XVlltrPbWEiEMiS7kShTCxqmYf/UjHRa7go9/rgW1TEuXaDFlckNhIZrMMixp8mwQpdEmZW1R7cTHyo2sBFemn1qU2LuaDaY0jUCAMTjKJdHyab/W+HyUDCvnVJZfbLv07RzZd9cDcRQ8blP4Mb6f4LtJvuVHNkxHVlyPQqOv1u0FuLMGhZzNxyxCWQkgy2WwGcjjXJ6oWsLBUw5//LkmZ857dqxRHlCWnlNpUvRZUjrGKgfL8gTGpIjJA9BqplKMoXjMNiwHqWux9DhjU5UslH8vCygpZTRz0IsK2G2aviipzbKdOtspQo8dRqU2oiIOJRtnE97/bQN2bg0hTMCUDp2UmFxjUgsxyCxEkx3kbD6evs+Gi+apezPG5qUBpLrE4lEiiBJBEAtGEYwiMDiMRsHjf/aXdz3w/ve9tQLwCoMDzK7bhEAS9hfQ8RBjHKIknUedLXlplJ+5DDJj87KNVQK4GJMtMtXf5WSO/X4yBvr0tciKqNL6bi/h0CmXf/PfJ7nniZr1/EpOScHeVppUA8u15gyuzlyuTvCs9r9X6XH+Zx6p+5ADu7pBbCFHinki2lgdamueTJ6utyWqhWQRwgJGpIyttbQd6SJr+yLdecGyOxjEKOaNNwb84gdW+PnfnuTwGc/ucJOxcuXZwSDtXHlIO+5FXmiV3akGgcqYPO+8LwqzEPZ95C1o6XkRJQLIaluixEqiMAa/WWfHxdtJ9OplcRXAt1/6FhBO2D9zlKh/jP6oznDkE2aEb2SeOLV/3xQMlzosRTODppqqL+v1NQJKUUiUMrilLIHbTTh63uXf/s4En7yrYxOXXAAALfFJREFUQSgcO0+wAm7L3Ag7Nri67fZqUFdb8ca2uisxNiWwr8nU2Y3wt8V4JdAsP5e2OckZvdoUodNprwaR3wSZyyJ0NqnMfo1IpYs2GGHQNoyl2JXH7jjoOzHve/OQRAt+/r9NcmxeWMR8HZAbLOtm2iKTLKqAax5olh2X8jktK6Ls3GgyHS4YxdAJBYsDw8WXb+T73ve2MIwSfuXnvw7A/focqKl/ubdz6RWHD+x7/fU7+riOQxyrIjlQ5p3Uw5FibXCLin9e1dxlti5swpIGF1VL0HESjp1X/Mx/neBTdzcJpapmKivB5RrSRJqqNKk4QBewBMcCyjLgx52T8kn5H6pLKVuAVaxXHBNK6fpVQE9T+CJtO7MaveyypEAXEqFTN8JIsqZGYTQizXLa7K0iTjQuhu996xBHwc/+1iTH5j2KZszSG14D5GBZOu8GSoGsygQJRdkthWbO8T9+ntKVK0gEQx3y7teM+PY3zn316l1b/uWZpf6qUyvHvyGcaf7zh+/q3vXE1v0f/fxFyUrfGYvaS1rz64C7Mp0qA7f4euBONbjQlBM5UiWcXpL8q9+e4FN3NwjLboksOSYpuMeliVPS32v63IK8qGc14KuTdosTX+3q+dsUW2VAzkqcoaS/y4iH/NyXkz/lWeIFq5d3axNjLotcrdHzasPSxNp8uL7CSeC9bx7y//9Ah43TqbNS0eGZNs++NiTGuiuByXR5ut12qdow195jmnw8NimTSFZOoYRhtqn5yXe5yfteX9/fP39Hd9NM6+sDHCCKBS79D/zwt03vMXqSUeASRoo4GR+Fb/KLkksQoUu6e/V4BzXejZOm36vgth53AW5N4sLvf6bFJ7+UMvdYhrJ6iFKddyFNVjcxlPpEGZcqa1uBFUBnNznVm75kmnxjmUwuwOBmTJIwDmZRAXalAeICvZu2lrwAeVIKNE2+D9CYhZgonBje97YBP/KuPk6S2OxKBeSZhZh+X1uQh+kR6QzcpeDTiKI+5QIgr5CvsCUSnoKGa2gIj0/ff/Ge0+dGH3DV2ud4TYD/zE+8hfe+bj654dp15twyzC/7DAOXOFb5nV/80Wp6vqK3c9Y2q5yTvBowL31dm7mV0gjXcOcDdT5xZ4NArsXYZe/bDtZxZbkNrWoLjs8aFKXPsRrcYvVryuBeA8jfCJOPsTNQkiHFP7R66hWpkzLuxJQYXFf98vLYt/JOEZVJWSWwJyVwa2OPREu8xPA9bx3w5lcNEUkJzBUmLzO6LZrKQB6m9eR5k8TYkd2gZUcpB2rqdrnK0PAMc23BxnWC+sx284d3ycSf/c41T/P/3d6XR8lx1Gl+EZFHHV19H2p1Sy211LrBhyR8IBnfNoNhgLU5ZuDxhofHg80brmEWAzsYzwD2MmvAsByzw+ExLOMBdr02ePBgZsE2PrFsM9Z9WWfLklp915WZEftHRGRGZGXrsGXLNhvvVVdVZlZVduaXv/x+3+8IBzMMUroUQaV6x2ObRhb1tR0p9nXW4XmR/DGazLuSgFzYYLdC8TxTLWGUq/wT06E0wO1wUEfgZ7/N46+/1oKNO/2GPoImLYGKirlEzqkTy4HUSIcFbAqCDKttgrbBwUSihR/NWhPScJJmArpo2DDh2XKbVOQSQqXIJvzbzlXRakuilXPlaMrIulRUdOszokP/KlOPEMXpOZBMOyjv1isGA9zykXF8ggL3/LaQJJdorzCRP9SQ6ltdp7jGfJuoHwWIyl8hRO0L9OwQxrHV548CvgN0txNccM6s6Uv/6Ow7PC+Hv/1o9uGlmGHM7h0Qz+3bfut5Zy8eaS6EcJykGDlO+NFyjrZ+lv6tAjsZ4I6piRmON+oqteWmrsBdD+bxya+3YOOzvrw3NUQpFdhBZa4JTUUrU45luuLfKmqI/x8b9KmYjgJ3Ml2iadKJAq18a5yhRlzbzyJ5L4yNMrvPqr7FZgqtxbMtXTxFWYxIZ1woYVYCmRq5MPm4ois1iqUDIW7+0ASuWFOWoUVNV6xIZ2hYc2nJA4OuBIqHJ9Y74eRaDoyFOgPkQshI5vhUBL84NPLkui23zurun9GWzGjBAWDZ0kWIglEcKf4rarUaRsZKiCJp9vSP6UskSeO088FNcGtLTUhSDW9TEsm/mcNBHIG7HsjjU/+9Bet3+LIqmM5ES2jMu9MBHSfFr5PqpAxpEClQE5uOxFPdWQ5l0gPFsvjJ6hnB3bBcdc4xwWxtn6rqsYJDcYsGWOu5yjwkWkmJiySULq5aTnCud1XHE+29tS7weogV8wN84boJCAA/f7AgVzA0SojxdziIuKGN6yQtqloj08TR1nUU+n/TrIBReS3tG43QFOYxq28Q3Z0tR4Pw0QHe0tFbe3bnkb94eOu8H48f2lWc0+0jpyKbLHYwhQ1ukujZFrgVmEmseae4t3YuGQcc4J6H8rj+683YsNNT4HYMgKfpiZqjhaRar6XyTNJdqtLWOpOqGMtNSx6D/jhBfazRCOYUxzYSsBqDP4nB0Rp4LBmSpK8KB1XSNFeAh5QK4/cEUKF9KMqC+PsEIFiScFUP8Zr5AW7+0AS4AP71obwtYFuh+gRuHAR1I4Svq4KIolS64T0Xqi+5Op5UOZd+nmLJYIRVZ3ZPtDaLa7q6+mpHO670aCu37hjlXmHo8aHFb5nYd6gDY5MOoojGt1OTbyftHww6ohOujDIzWbhg5nWHDeD+xSM5fOKrLdiwM6doSYZiYjiVlCbBHKszVSoEn6V505T1TsBPLOBmcXK9wjDm8YrkczMHfix6IuzlsRQYmxFNY4yigxSFSfdMiZ22mJLAoiaCGw6oNcmsXqedzeQ5ipicVYIzRHWKZfMCfOkvJ3D5OVWwWD40KAs3qYoM7XMB1GPnk8RFzBGHraoYdygC6Us1FwjmdTeF/a3inavOOPJv0wdv4zjKOCrA+3tnYXZP6+FSXlx5/utXBL5bV9Y3cSyp9UjyU8xegY1BHK2gJLkllEUQDvDvv/PxsS83Y+Muz6AldsEwiJrxkcjeHbbebbZdSxwTDew4PRaNlvpopWj2FIEJiC2LbpS3mSBPYJ8BcpN7iwTsWhbMzAsXSLg2jO2tPJW0nJiAXfJzavdU0ZX5cZqtOaNyoo/LDloMUeRI0NcJlg0E+PJHx3H+6ipYGtQ8i5PbIA90hb6wW0toXq4v3ogTTE7X0TV7hXBLq3be+X+qfOg1f3E0CB+dohQKDkYP78K8gbn7WovTO3azdYvDYAqEOBawtTPJLAAn1e8JoO0IpX7NWATBCO57zMdHbmnFll2+1PkaEqfMqKUMPTskqdBxCDLyTBIPnDZY6sYZvrRzmF6uwjG2ioKUNX+B2SiN6EesJKSd0MTh1LknSZtl2YlWJ2EJObW2oZUTg5cnGYdyqvAkAwSKZqj8FeX5xUU6psJSj7BoToCv/9U4PnwL8KtHc4gAI4nbODyGSeWgMV0hgsRZj5QQ1RnAADsnmKhEoF4JfXOHdpxxxpLq6NjkMQ8hPeYGlCKcvGdXa2n06jkDAyAIZIpjnOdt9i3JKBCmZmGwBrfahkRwvAjCIfjV4zkJ7t0+hAVu03rr1xLcjMjKKo/MQE1oIwdvUE7SRQ3p9TGI7QaSMY3RSwygNzqRJwZ8M8hjWvOkVM2wzjzZNrbgsBWWTEtu0RLDalsRTyPqqTIOo3i5auypFZY6waL+AF/52DgueF0VNOQyaTu25FovN9QWw5JXjUzEIFKURSRFyQBQCzgWLFmKPaPh1d/68cO7KD0mfI9uwQGgpX0O6vUpuG5x+MDIQw+MlQ+sLfpjyPvGzMIsAbVOb2WWxTbyu0lSkeN4EXYfYXj46Txu+IcStuwywW1W5ph53hJ5yTw6iWJiKyQZaglM7dsO7JiFDEAj2ElqPYBGy2+A/7iRbKgFsV4hlJxgWPAY+LDzUyzlRDmUnAOEmSAXseMI5XxyRbuSvipQzp4EvjTTVFlXWJlP0rqr/ZWhEZmmFUZYPDfArR8bx2e/zfHo0znsHoG0QjpbiqodkbeSuM6zxo3/n0JNjAVQojIQRYRl81vxtguWPHDxBecMT05X0NxUOOYhPvYlAMDzmrB18xPbiNN26+y5S+C7ZfheHY4TIj1FnzWrGU3WxUUKVM5y5uQibBl2ceM3WvCXX2rB5gZwmxKgYcVVxbpHMiw3QWYyVdp60zQwLSDbabH6j8m/00BH6jURx4twA7wieTZDK43c3Ngo5uKNVT9ZVUC2Tm7kXRvcvIGPaw5uWHJttYUK68tUagcRZxA1gsVzAnztE2P4L9eNY6ivDtR0Lnlga+UZreIqHKhxIqOeEUEtIigHBGNljtNeuxTdHaVbf/vw49uOB9zAcVhwPfr7+8Dc1sdbC4fvrDZveGtteiuiKAcaT5cdKssd2o4kSfFuwsFyAtuGXdz4rWb89L4CqhFLpECjZ3c6txuqYbpZemYVMBhBHJYGckw5GkPy6YaaaRnQArvJtzX4U59DwwVyLHQjttgxzTGItlFEn1TvEJGkLVsRTKicbwLC0lKj1s5JbEDjCwCQ1l1Zc62FU8pl7gqErvS191018YkiEsdFWBihpy3Ce95Yhu8KfO4bLdi+zwNy2noDAFffp642wiEoQ11OdRWrRxwCR8oRVr9mPoYWLb5zcP68xw8dOTb3PmGAF5p6EVW37WrvPevDD2x4lHn88Js7ShUwyuE6oWq8Y0QjleYtNfEoKTvzBLbvd3HDt0oS3GAy/E7SUmC25XaJnd9tNasnIu4xYgZ1TL6dmUwVA5lYFh5pkOs88NSFEw+SuKPGZdDwSgNYA9fEuebdFnVR1AIGqBv1cNOqIylp4ySe2zLOAac8vhjkCxI7epxTUCrAdeSIUwlEXQqPbJATtd9EAIgIRA3wHY4rL6oAArjhm83YMewBrg7z0uQfIJE854JBCBd1wSAEUTWwAkvn+rhwVenutWvO/vD2/ft2n76k/7gBflwURQ+WW4hNG57c3T37omccfyHCMITrBnCdQD3X4bIATD9UG+O4MabP8exBB5/9Zgk/+aUCt2NSElMKzAZ3Y+mZsBxKFgPPnFFCW2rRAM6sIuKkeEG+SfPuhmGa6lhhOU6aIlLATkcxU+pJDGCYAE+pKkaLNyv9lCOejlAbTsv5jCmL5uV2M08RZxzadCVSdEUY7zl3EAUUOSHwjosruOHaCQx012Vdm5VeGwA8AHhdPqIaENURRBHKEUEURVg+rxeXrznrmW0bHjkhcAMnYMH1GOjvQ67Yf/MB95lBJ9j4To+MgjIBh4UxBSEk6Wqt+6TUBcW637v45k+L+PF9BdQJU5U4GZmBphXPAHcD7447QWVIhDhKGmyG9W6UDBNgN9CYBNM2DTflluMdIrW95tsEtrU2nEpt0c2wfBy5VCCHsb2AlhEVgAkAro2ppilQhQ8clGrnEzF9EZyC6saCpiUXiJvbg0KWnlFABLKW9x0XVYAI+MZPi3hyk49apNp16byP2KrowJ6LWkDQPLsds+fOv+O0FWfcvH7r3hOF64lZcAAotMzBxHM/Ge+du+D9D2/LPxghQD5XRi2qYmQ6wKGpCEfKAhHlcFwO6gIVEHz/5wW89RPtuOO+IurUyQC3k3pkg9slat5KA9xWb0FNVRoUFBErKBYnJ0cBb5Z6ohxRw2Any5PF2YA/DoybD7mMGOtJEt0UKQsusgM8nBsWGqkCCZ44nZzbn9GBnnSUU8T55I0Sonzt2AlaQk6f4kbAOy8u466/P4L3XTGNIlV9yaMAPuroLlbRWyqjtzSFFmcaqE2j05/GpavKD3b3Ln3/l77/y/EVywZOGOAnbMEBoLXvKmzd/mh5+fI/qzu4BXtGduOLt7XiN0/nACHQ3RriqgsrePN5VbS3c/zgZ3l85tsljE3qZpgzWewkt0RLgTqQ4xwnuGMga8BZrZ6zLXRmQTGS5SZQYycyBewYocYHrCC98VIY1tqWCA10E0M5IbYFJzF/b5QLbStuO6hxHrmSEiXvFqliisQHBJUlbXKen8TxBJETaMvzFCWWPI4AQfUmJMnySMrKXaUIX/zgBBgV+OHP8mhv53jzG2q46vwKulpkvu39T3n4u+82o6l5Ad5z1Z/UGauWX3f65c8Hqs8P4ACwcN5iAPyxysj553zhm/83//17mhASBvAAW3ZV8eDvPBweIxjo5bjx2yWMjTPVt8TMCnRskFMJ7jiIQ2SDTFstMVscz1BIjIxytJSaklZYMimJAWAruhkD3s4kfL4JV0Ikn024NGJHU3dGQwNNsbVz3SckbdU1mKnKMedCHl/teIJzOY290rsVrhtAHnFAQM6zScGl7g4AlCd8nqryZQq1PWKQEw7wKEJ7c4QbrplCNQDmzY7wN1dPgdcIorqPKHIw57IIlAXYOr6q0j9nyWPsOAI6Jx3ghLVCiLFPV/23i2dHKh/1CjtyPnNQrQeIKhHOWj6Fi8+t4f4nfFSqytzCyCWxgK2BDhBqgJvMAG6tkFiAFTOCOgvkSQQzFZaPtyMNF4BpvhtkwJl491GAbgLbeh/z65QiQhCDOObWep3az8SKm7KgGelEXMxAtZABohpzkjgbUDfLFELO0QlOY0uug0DyvZITCVGyX/KPU/Vd2nhw1YiTRBx5n6O3neO+h3xctrqGlYuAqXITytUcoijC2y5YWkXbhV8BxWc624vPG+DseX8SwOc+d5NomXP+A+1NOVak9XNEZYqBA69dMI6bP3gE562soaOZ42eP5HFkwpxV2KjIoS6SrEASy4AzgdvUuq0HNcrRaAbwaeO2usWxuZyYyy1ZkVjbE3Uxys+qZXGLZE1v5HubBtlS5Ez8P3MZTN/AoE/WhZrS5Rty2hsvXv0lyXph38Fgb5NcuPp9sjC+2YjsvB090cGuAww3/GMzntiQx+Z9HobmAAWvBYdHSxDOYN3LL7yZ8eG/7exdGb4QjD5vC66Hh2p9fn/HTU40UW/zpm5sKkzRK9YCqxa7CKcjLJgVobmgIgA0JQFmpbySRCkx6ydNcKcpCFVdp8yAjRmOb8gezABW7DSaYIxPTGMbCGuyV32yDSAc98gI19uyn0FJDMqi10lLbczprraTAZ/E8nOVzKR7qahqsXgi46RZkO6tIvdHx3akMSYWJwcFRCR1c/k/qA6yIKDEiO2rxp2yfZzsqzM+RbF92AVyPh7Y0Iobb+O44kwf/T1tfGho3o1evveWycnJ+gvF5/MnN2r81XVXYbAHlQvPXXrnVVecIS48k2Kwt4DpchOC0JXd+AkMcNu0hFBZZuYTwCcCHpXOpHQwxTEttxWWNyywzhQ0aUxm1uBM4NfYtV43cu1G4M+8biZ8pzXv9AqzuMGS/NQyOwHLcChToXtzdrKG8H3cJo1aOeR2+zdTXTHL2nT43k6xjXT+uFZVVHs4wamK9RDA8eDmiti2uxn3PeZA5E4Twlt+58adfmXesne9UHi+cAsOAAsH50I4vVtZkLu2Oln+Zjj1axpxGcPZss/BZMXoOkWTWc4IIXBpY7qrWY3DSKKCMAOMDS3XaAaQM0BrtWLLBLZ9a40LH4xtzds5UstPBNwWmFNc3EyTlbwcBu9OSYTp9yrxyrTi0Baa6IvB4PjqH0w6ZSW56HFUnch+3EQoS8J5fNyFgCoxo7FPQONm4MT6FwkEuIhQynMM9obYuEcucxjBqlWreVfvgmtXLBvaumXngZMBzRduwQFgcOES9LTsrw8sXP2dfI58vKmpDb5TRpWH+MEvCxg+4CuubUzhRwh8CuSIQE5NJeLSpPtremKodJ43ywB38shuAZHZtQommG0LD3OdxXezMdqgjeuPZG0vkDni5RpkSCkr8Y8h28Ij24ojtuJG6iwI0vp52mJbRctGU8zILIQQFJFIWW5OEUWJFY9CnZTFEIQuZvcIvPeSKRRZFWGlip6uDoC6Hz9/7ervrNt0sL58+dKTAvCTYsEBoKltKYLq3mjuordvHznQNvnQo3tLX/8Jw4Prm1EWHsDUgzI4VILbM7Tt2GLDLlIwgZk8C8taa/4dt97FDFKgab0zrbxdONyoi9sOEwxunsXnT2gIW0aPw/IkWWepKbElN3TvNNgNK86FUI30RWLlhVCdHoj6DXnFcKGOg1JT1EuoQwNd60CM35etRGQBjEzbldOLM3URMctsCHiui2vfVsbywb344W+GcMkbzp38o/PO3r55x8HorDMXnyxYnjyAA4DjFHDfYyN3Lxtce91Th9hXnnn2F+3lymEI1wWYB8oUuAngx1zbKFCAwZ/TlAIazClwH4WOkKOBHNnKhe31mwA2NG/DUmsuHy84EUyn9G/NRMzX1ldaNMXuUQhkXABCd2YVar0O5BDVA0U693IKFJOqqO1BlJwof1j6lfLKEprOIem/Iuf+kSDnVE+rQmU5YnyHkYNSDs8JcOlZbXjjZRcf4fnTP+K7u+/ef3DOyYTkyQU4cdoBAHsPTt5+zbsuc7rayc3/+M93dz25BSDMhc+STEA9CVSS1mqXlDVSiUbQN4JcNDqTaccRtvVOHEm1dqbPw9w2g4YYryzufgzQxyc9MW4J9VCAjYFvWEwdshcqH4UgbcWT52QaFBUMIiK5KIxOUgLJ9wKGRVcZhkBSwQ+RdZcjCuSyYIHrWT8EgaAcnNI4MQskwMGpPhTa33VobvOb/jOi+u2ELD+p4D7pANejv7sEIQ5+78+vOpfu3jv8xV17n+5ihIMSFeUiQs5RqR1FmgBXg0weLmMGCcygdmjQGxixMgSRciwzgNsAZBjOJgzwwwZ2TFP0e3FsQM80dPidEMOKG06ktMSGQ6l2yHQuidopacU1BSGqkZR2HkXcPYoqay04kXWbCrhcBdGE3hkoa6/9Rhh3GKH7xJv0TsjvEDKAxCkHE3LmCUQMtboLhzEQf+2hQ9Fbrj+8mX9v5ZK2FwOKLyzQc7Txuc99CWHreU9yUTzU7tXOq0+P58ersqWxzwCPKZCr+SlNa04JYtpiOYkZPU1MRSXeJiO7UK4jjdY//k4dyNHribHeCNKktk+WkQTwFs+f6dl+mNbe5PJZOejxew0oJHcMc53pP1h3LvNuBVvjt1QipL8kebYnqCVKO0/NJmH2WgFUIQzB8KEmcGfoyPw5fZ/ozm/83sC8lS8WDF88gAPAA/f+T/zplW/5/bzZxT0rFkSXTtT2+vsP59HsC3iOgMOQCW5yrAfSFCUj9zt1QSTRxgzgW8BNXwgJ0E2QJpNUJUCPtwHiqGajY0uOCW7zjmUti7c3ZlI25c4YpElUU8HVArP1OeuzKfnTuHOZIJfFz7Yak85GtLIOudwm74V4dEMF+8ZeO9navuC68WnvhwNL3z2DnnRyxotCUcxx4esiPr+36Y5fresOH9tRv82nI7mSL8PYWimILQVsOWwmKc2mEslz5oWQtTwNLIu2ENtKxiecZFtFe8/U57KXm0P/7/q3RcZWNhWAnBpE0TkrqhnTFkNRIXHKSpJBqLdXX27yeilXJ5Nayc+JmDIRoSmLSPYfyTlMCjGS/0IfJ84ZaCDASA2LFg5U1+9q/8A9j3T+tKN57KhNe07GeJ6M8cTGn13/fUyJAut2Jt9amzz8gz27ns0FEUNVzSaqrWV8IkxtdobvjB1S2hjdbLTgxMo/IdY2xNo+sciwLHCynW297e1mfo/U78UXFAVmcprNqQytKVeMFGB7im9jnXrWPdHj74jXZ81fmrw2Z6vWDrxpiDTKE8lRW+9E7qSqb0q15mCqQjC7r7c6f6DpPV2DtTsxziLS+rEXHXsvKkXR46kH78TV7367GA/mbTptEJsXzCFvqlQPuc+NUjiUwHN1nrfc3rSQpmxnLLV4eBoQdhIWyQB8ikc38OoZwG5wbQ1aC8iUWHcBk5akt03TrKw7UfzeWAfA/k5rWSPFse4+amNq8vp4uySCq/NJ7IAZSWMbEAQcSQAoigiCiCGKKHgkZ8qmLMT6Z4EyX1hubZvzvmUr5/904zqHdw9e/VJA7+REMo9nfPS6d2PtkoPimg/8/Y/f98eFD6w8s2ecqzyUgkeQ9wlcR5WfwTj5x/n9aUBYzmkaRDPSExMoJlVJOKy5Q1ngS+8PstYbt6X0nUpkPNIfs1tC6GUZEUzYd0IrJ0XlpcTbQX9Wbie/lGTvtFonAKtNc8QpgpCiXHUwXXUQBBQCHFW3e/yxvT0fOP+S3/34np+PiWUrX3iOyfGOF52Dm+Oqq67E2O4v44NfXfKjM4b63T++ZPqWHVs3dtQrEwBlODLOZTU3VO6DUnj1SbUy71I5GpbFSllLNIA3AXCjE4jGz6j9Ny1v42/EblpDQCg9svi2udxoqmqAXLNidQx0nonSv+XaJAeFIi0nEvXpRA+PtXKjnYTk9jaY4wuZJDsq9fWk5A3QWYYMo5MuwjACczswp29w5J1D3sf6h/AjgdPwpiv+00sJuZcW4ADQOvejAICvjYz9k+M4zkMPzbrpqXUPdlExiu3DFazbnEPeUw0zdfYbR2x5Gg62iZT4FtxIYzIdTYPj2l+ZYb2tO0SGI4oE+JaVnwHlAvZvmg6hvnD1a2Hsl9axLWccdnKW3rFEB1eVPOpY2ElahpUnInvnDB4O6Eio/IJIzZvKqEAxH2LjngibdhD0dbdi5VnnHZq/ZPUnoyj6J0JaX2qoSSyckl8F0NnRCt+j373wgjXXX/HGNxxau0qguXUEE1U1SwNL6IoGt54ElBu33fhEpECdBqYNcmInXmEm620GL4gF4JgH6x0gjcCHuX9qpJWhNFD1NmaCldnVqnGdXU+p6QW3Pmfo1XFHK7t7q9U5y9i7xBgYzqeauVoI2fAnCBlCTlHI1TF85AC2HnCw/LQ1h5a85pzrQ+58N19sPVUwe+ktuDny+QKiYPo7S5evDHfmyl9+Zu/9bW3FCprzgOMQlKsCtRDx1HNcRc2Esr7mrRzCsMip7MKjgdnk4UACUrsQmTSAPt3izcazduIMx2wmTpJaJ4wXpkVPaBkxckXUpmoOSlOJIlChfjP8bjUOSnJZdDGETLxS3x0fWz0VpOz5DgJQIVsSBhFFLXAwXWFwGEfO83Hlxd0483UXj5591upPBAG/raX5+ZebnYxxSgEOAMwtYrJcuz3XtubIgoHxBQtXhf91y4Yn3FyOYtM+jokxWTERRPLWyIhUXIhOENInwqInpEE2TAdo9GdiqzsTdbF4uKFGmMg1qUkj2o/pKJtW0/xavVhzas29488Rg6cLM29FcvEkr0RlDaoJoPQkDLqjFYSeGRkxtdH7ItWhpNEqpdJyh5TBdTjGJgS27SnAcxlmD6wJ5g9M/fVpfau2g/g/JyR3quF16gEOAKWCz9dv2HL3p6653Nu3b0d52aD/jcMHHifbRibpRDkHygjG6wQOJSg4QN6RHN2MEpjWNLPRpqlfw6AQKcfTtubZqowVlUTy2bTzeqyRYcAhMjYgxnINPTNFVi+P20rA5vTm0J1jJcgVn4/nt0eSkKV/SU1s4DAOzw3gubL3ZKWWB6Mc5XASW4cL/IJzV4umtoUfapo19P39+w7V++Z0nmpYATiFHDw9li9bBB6O1Of0z7p90YL5y/oH5vxNX08vBjoJLj6zhvaWMYzVAkyFBIHqggrAMqDUAJ9VYGwWECNDCkwrLIb+bUqEjdTF4OIN1pukDbk10sULIsWFkyCK/dA9w3hquSkDprm6Jh5x+zY9sxo3StXihyE3apCoaWh8L0BTYQoj5Wnc+7iLrbsLKLXMx8Klg3/T2TV3WVOp6/aNWw7U++YsPNVwisfLwoLrMXdgEQBUfvmr27ZcfFHppme2d3mnDx759GnznmEXrT6ID30NqIRtKKm9TlvXBNDywTS4Uzw7HpZzSixrrr/YTKiyi49t8m1bb+PCQbJNFlcxQ/ZIWV39WYuXqxpXQpVEaKgnwniOQ+xIhewBNTkV4vns47lDIVmL7G0S53JK3k0FXCdEParg09/pwMhIGz74tnnR0r7Oz+/ag5sWBs9G8+afe6oh1DBeVgDX45KL3ocf/uh/Rx+65m2fnZo87NRHf/Fx5lX9nANMVDiyEpbMSCSjsoEWM5KmtEU9WmaPbaGNC8OIagJpK56RRKW+zAK3MZJqeBuIyNo/Ye+g5uM6x1tW6hiyX/qz8QVAkkWm36KKGbSh4EKk7g5JchUhEULOwGk/Lrt4be3yK9b8t1k9nZ995MG7cfaaN59q2Mx4Tl+2IwzGwUgEIcgXN23ffM6Vn/wFLZfDczAx4nQUKXxXFjY7DPAcwGEEDlMSI5Oc3XQqdZcn00LG2YWq4RCl0lozI/eEUGLRkSwpMrHadhlbfJANRzU++KTxuZHvZy+j1r6LJNdGpSAzKiyfA1DUhtuOOaWAwwQcJuA6PH72HA7HkdzbdUIUctPo6siHjkcf3ht8gPd0L304DHF9PkfQ1dF8qqEy43hZA9wcn7n1LjiuVypPTf7D/p0733HouWE6OVUBYwyeC3gOgavA7TgErkPgMBJ3npVzvQiEkZ7zMQGmpjKMJq/jPHB6LMvdCO4sC54Gd3wC0hfB8YIcCUD1JKnUACwzQE9U7zfOgTCS0/Xpu4ee/911OVxHpjG7Dofnyq6wnEdgTh5d3R181qzZ/5LLF/48DMPJlr73nmpIHNd4xQAcAP5jww4U8rnOXXv2f/g3v31ixc5942/9/TPb0NbEUMgxCXCHwHMIPFeCnDkSfJwL1AOBeigQRgnAKSVgDHAoAWMmwIndxcpQWBpyuwEL3IlC0zhHptalrWgnbKt/XCCHQc1iqy2pmQa4w+RyTYPCiKAeENQCmRhFiNzWcwR8T8BTIHcdDt+to+BX0NKxAKHovrNv3spnWtt7vxoE1cOl1sFTDYXjHq8ogOvx5IY9aGlpGnh83aavrF+/+a0bN6xHeWoCzGHwPYacR5D3KHyfwnUYGAWCUGCqHGKqEiEIVeU9JYriEDixxddAJ41cPxPk8jCmVZi0TJhEK0WskJgnoKFy5yhWO70dJdrnEIqiCTiOfLhMp8sKBAHFRJlhcpogCKX19hwg5wvkfY6CLycS4zxCa0sBgwuG0D174Z0tHUs/EtandrmFBaf61J/weEUCHAD2Dh+G67oLN27a8dpatfzhzZs3n3f/IxtRLU+is81DU8FBIecgnyPwXQKHcWzeE2DPgQAEQlIaB7G117TGZQSM0diCG8Y4PmK2xW28CNLOpi31GZXwprOXSX1SQDfOmklttGLkMCgLDHgOh+cKeJ7k067DQSCwc9jBlt3yovddipxP0ZQHSoUILcUqWloKyDUvx9yBofubmvyvtncN/j7iwTY/13WqT/nzGi9LFeV4Rn9vJwBsE0JsA/AMJWHvvAWLv71506aF27euZzmPoJgnKBWA5mKEuT0VbBiuYMfhHDoLBKW87KbqqMicbpTJmG3BtcW2oo1ZdAIJOKkB2PSI01QBO2IotOeoVI1UxDIttXCjUYkZ0aWUwFF9CikTcBlHzotQKtTRUprCzoMCv9/eibldQKngIIwYIAjyeQdzF6yKBuYt2HZ4VFwzf9HZwwLYQskr1gYCeAUDXA91a9+yd3hkSxRFl7U15/ouvfB1P3lq3cPN46PDRZ9NorM1QH/PFDx3EgfLPcg7FL4r4DKByJF6rwQ34DAKx6GxiiJznmXUr7GEzqQVZpGyDW5BEvVCGm6RABTa4RMgHKrlmZ2KbULMCtgYkU6uSlcYBbgjFzIi1RHP5SjkArSWplEF8OxhoOhFEEKgqamAWX390xdcsGbCd4Ir27v79nXOorvIKxzYerziAa5Hf28HuBC75vZ17ZkuTy93HZwNIf7H5OjmENX17YX8kZLnyJheFMlm7qFKxdW3eQ1uz6Wx+hJxmVgkuGjIGTHiPBa4s+S5+C6grC/nIs7PThSRpNGO0DQoKyFLABEXiLQiBICpwl5KAVddPLGiwjgEOCIuEIQUgaBobu+cXHv24iOrz1jsMIdd3Tt74JGmYtM4IDghL5sA9wser57/BLqcjPDpqanRrq5Z9xaLpUUP/PtdCxaf8d7Pt806d31v78BTy+e0VGd15DFd5ajUBCIFNEYJXJci71MUckAxD+R9wHdV7/64MCCV3QVYQU3NhxNFQ0mXTBVxCIEw4ggjjigS4BEH53I/Iq6+3wjfAwbGSZJuwAVQDyNUqhEq1RCVaoRqjaMeQgKfy7RWzw3gOTUEvAXTtf5qa2nuU2+/fPX6T374Tz//z3f8ZEFzc/Oi2b2995anpkcJIa8qcKtT8+oek2PPAsQlYvLn+PGvW5jntnxjYqq86Ne/27lmYuQQy7MKWotAMQe0NntoKTEUcwKuIxBFBJUawcQ0MF2OEERcKS8UjNkOKGMkDjpRVV9qtqjgAijXgLGJCJVaBC4EmHZQadJcXwar1PenHElXTXEUBMBUhWNyOkS1xsE5h+NQFHIMhRxFqSDQ3UHR0x6hpxPo7S1FAX3Ng8wpbhmdGLv29nsRXfsna1Grh2LZ4oFTfYpe1PGqB3h67B4+gnzeb9s/PPKFf/lf93n79uyK5vUVz2wuOiuj+ihyzhS62gJ0tEQIImDvwSbsOwzsHg7hUIG8z5DPMXguhRACYSjtq+MS5DypzDhGui1TOnMhxzFZ5nhyS4TpaSFrUF1bjmSUwHUofI/CdaUDoANTnkNQzAOFvExd3T0cYd/BEHsOBwhCimY/QnszRd+sVswb6EZ7s3iis3liXV9/L5u/5KK6m+v4FERtlNCeU30KXtLxquHgxzvm9rYDwCiADwLA/fc/AADnCR5eKqLpKxkpL25vOoLnnnsM+4YZ8l6ASjiJRzZTLJ7lYXYXhecSNDcJ1Osc+8YjuA5BE3PgUCCnyu10tJASuWx2Zw3j1SnsfcxDddJDX6eAw5hKU5U+gWxJIVMF8j7gOQL7DoaoB0CpyYHrEHSUapjTcxg79wPT1TbMn0swPM5w2qLTMX92EZ1tTZs7Oko/yee9fxNC3L/4jDWn+pCf0vEHB/D0OO+8tQBw/8T46P0AHhAiXODR/fzJLU/zw9VF8y89Z9YnK95mzDvQBBYcRrU6CZcK9LYHmKjV8Ivf+RjqYSjmFfCLHHlPYHSSYXxa5ssQAjQV6gjpFKbqTahWPQhI7d33GCanI4xNhmpbgWKeopTnWNA/gSe2AWNHCOb1emgrMnS05zA0NBez9zD0Db4WQ7P33PSb/9iz87IL19DFA53U85ztAO5tb2871Yf2ZTH+4AGuR3NLGwDcq9+Xpw+B0lxrWN318IGJAMuWFIIzBpZ/tLVILmlrpuhpK+PpTb/EWM0FZQ4KBR+tLQR9neMIolE8sqEEcB85j8BzBAQPQFBBteaiWs/BIRTNRYacx9HSVMWm/QHyThHNJR+O66K5xDG7J0ChrQ1rX/8G9Hd5aG9h6GwJf1ls2fvl3j7fnTVrBVYsvOT+FWfUx+b0dZ/qQ/iyHP8f4DOMQrELAMYA3AUAu/cMA8AmSniP54IX/TK27PotHEeAOS5814XgQbDitafdcGjswBW9+5uCvJdDtSbQ08fQ2jUNPxrF61cVEVaKWDqXYbCfoFoT8P0AFT90Ke3+2ZE9T97AWN51XQ7HYWhuLuB1K1ego8VHziPU98hzIU7f+Y639J7qQ/SKGH9wTuaLOaqj94IQ0rNn/7Mtv3m8IHzPx8QUx2Cfg6G5FdSjCdz1UB5hLY+h2Q4WzuEYnxJw3RDrtkekqTQ4Dojn3v+Otaf6X3nVjP8HSZ96Jt3caI0AAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTc6MjA6MzErMDA6MDDTCHchAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE3OjIwOjMxKzAwOjAwolXPnQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 47355361
{'hecke_orbit_code': 27021941395161754, 'n': 1, 'trace_an': 4}
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id: 47355362
{'hecke_orbit_code': 27021941395161754, 'n': 2, 'trace_an': -2}
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id: 47355363
{'hecke_orbit_code': 27021941395161754, 'n': 3, 'trace_an': 0}
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id: 47355364
{'hecke_orbit_code': 27021941395161754, 'n': 4, 'trace_an': -2}
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id: 47355365
{'hecke_orbit_code': 27021941395161754, 'n': 5, 'trace_an': 1}
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id: 47355366
{'hecke_orbit_code': 27021941395161754, 'n': 6, 'trace_an': 0}
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id: 47355367
{'hecke_orbit_code': 27021941395161754, 'n': 7, 'trace_an': -3}
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id: 47355368
{'hecke_orbit_code': 27021941395161754, 'n': 8, 'trace_an': 4}
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id: 47355369
{'hecke_orbit_code': 27021941395161754, 'n': 9, 'trace_an': 0}
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id: 47355370
{'hecke_orbit_code': 27021941395161754, 'n': 10, 'trace_an': -2}
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id: 47355371
{'hecke_orbit_code': 27021941395161754, 'n': 11, 'trace_an': -8}
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id: 47355372
{'hecke_orbit_code': 27021941395161754, 'n': 12, 'trace_an': 0}
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id: 47355373
{'hecke_orbit_code': 27021941395161754, 'n': 13, 'trace_an': 3}
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id: 47355374
{'hecke_orbit_code': 27021941395161754, 'n': 14, 'trace_an': 6}
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id: 47355375
{'hecke_orbit_code': 27021941395161754, 'n': 15, 'trace_an': 0}
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id: 47355376
{'hecke_orbit_code': 27021941395161754, 'n': 16, 'trace_an': -2}
-
id: 47355377
{'hecke_orbit_code': 27021941395161754, 'n': 17, 'trace_an': -9}
-
id: 47355378
{'hecke_orbit_code': 27021941395161754, 'n': 18, 'trace_an': 0}
-
id: 47355379
{'hecke_orbit_code': 27021941395161754, 'n': 19, 'trace_an': 2}
-
id: 47355380
{'hecke_orbit_code': 27021941395161754, 'n': 20, 'trace_an': 1}
-
id: 47355381
{'hecke_orbit_code': 27021941395161754, 'n': 21, 'trace_an': 0}
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