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mf_newforms • Show schema
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{'Nk2': 900, 'analytic_conductor': 1.7966340454788086, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 6, 'char_parity': 1, 'char_values': [225, 6, [101, 127], [2, 3]], 'cm_discs': [], 'conrey_index': 49, 'conrey_indexes': [49, 124], 'dim': 16, 'field_disc': 98154028955222902112256, 'field_disc_factorization': [[2, 16], [3, 8], [13, 8], [23, 4]], 'field_poly': [81, 0, -441, 0, 2023, 0, -1842, 0, 1167, 0, -406, 0, 102, 0, -12, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [81, 0, -441, 0, 2023, 0, -1842, 0, 1167, 0, -406, 0, 102, 0, -12, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007886483063009, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 9, 3, 1, 3, 0], [1, 1, 45, 10, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '225.2.k.c', 'level': 225, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '225.2.e.c', 'prim_orbit_index': 10, 'qexp_display': 'q+\\beta _{1}q^{2}+(-\\beta _{10}+\\beta _{14})q^{3}+(1-\\beta _{3}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '225.2.k', 'trace_display': [0, 0, 0, 0], 'trace_hash': 409420911154297984, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.884', 'prec': 20}, {'__RealLiteral__': 0, 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0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0], [1, 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0, 1, 0, 0], [0, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 2, 0, 0, -3, 0, 0, 2, 0, -3, 0, -1, -1], [0, 0, 0, -1, 0, -1, -2, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, -1, 0, 1, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0], [0, 1, 0, 0, -1, 0, 0, 1, 1, 0, 0, 0, 2, 0, -1, -1], [0, 0, 0, 0, -2, 0, 0, 0, -1, 0, 0, 0, 2, 0, -2, 0], [0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -2, -1, 0, 2, 1, 0, 0, 0, 0, -2, 0, 0, 0, 0], [0, -1, 0, 0, -1, 0, 0, 3, 1, 0, -1, 0, 3, 0, -1, 2], [0, -2, 0, 0, 0, 0, 0, 2, 1, 0, -1, 0, -2, 0, 1, 0], [-1, 0, 1, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 1, 0, 0], [0, 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0, 17, 0, -1, 0, 0, 0, -13, 14], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, -3, 0, -20, 0, 0, -3], [-33, 0, -8, 0, 0, -7, 0, 0, 0, -9, 0, -1, 0, -1, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, -4, 0, 11, 0, 6, 0, 5, 11], [0, -6, 0, 0, 3, 0, 0, 24, 0, 0, -3, 0, 0, 0, 0, 0], [-4, 0, -2, 0, 0, 8, 0, 0, 0, 9, 0, -10, 0, -10, 0, 0], [0, 4, 0, 0, -3, 0, 0, -38, 0, 0, 1, 0, 0, 0, 2, 2]], 'char_orbit_index': 11, 'field_poly': [81, 0, -441, 0, 2023, 0, -1842, 0, 1167, 0, -406, 0, 102, 0, -12, 0, 1], 'hecke_orbit_code': 9007886483063009, 'hecke_ring_character_values': [[101, [0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [127, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 3976425, 29025, 3976425, 3976425, 3976425, 1325475, 3976425, 3976425, 3976425, 795285, 3976425, 92475, 3976425, 3976425], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_newspaces • Show schema
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{'Nk2': 900, 'analytic_conductor': 1.7966340454788086, 'char_conductor': 45, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 6, 'char_parity': 1, 'char_values': [225, 6, [101, 127], [2, 3]], 'conrey_index': 49, 'cusp_dim': 48, 'dim': 32, 'eis_dim': 24, 'eis_new_dim': 8, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 687228322017, 'hecke_orbit_dims': [4, 12, 16], 'label': '225.2.k', 'level': 225, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 72, 'mf_new_dim': 40, 'num_forms': 3, 'prim_orbit_index': 10, 'relative_dim': 16, 'sturm_bound': 60, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, 16, 0, 8, 0, 0, -2, 0, 10, 0, 0, -18, 0, -16, 0, 0, 8, 0, -30, 0, 0, 18, 0, -56, 0, 0, -14, 0, -8, 0, 0, 18, 0, 4, 0, 0, -10, 0, 26, 0, 0, -8, 0, 0, 0, 0, -6, 0, -10, 0, 0, -44, 0, 60, 0, 0, 2, 0, 10, 0, 0, -44, 0, -32, 0, 0, -42, 0, -64, 0, 0, 40, 0, -14, 0, 0, -22, 0, -22, 0, 0, 18, 0, 28, 0, 0, 132, 0, -4, 0, 0, -42, 0, 124, 0, 0, 2, 0, 24, 0, 0, 48, 0, 6, 0, 0, 56, 0, -124, 0, 0, 4, 0, -68, 0, 0, -6, 0, 26, 0, 0, 26, 0, 78, 0, 0, 14, 0, 78, 0, 0, -180, 0, 0, 0, 0, 44, 0, 122, 0, 0, 134, 0, -38, 0, 0, -38, 0, -38, 0, 0, -48, 0, 32, 0, 0, -2, 0, 96, 0, 0, -124, 0, -36, 0, 0, -24, 0, -10, 0, 0, 118, 0, 44, 0, 0, 32, 0, -128, 0, 0, 6, 0, 84, 0, 0, 0, 0, 32, 0, 0, 40, 0, 42, 0, 0, -76, 0, 66, 0, 0, -4, 0, -148, 0, 0, 38, 0, 16, 0, 0, -78, 0, -276, 0, 0, -148, 0, -98, 0, 0, -36, 0, -48, 0, 0, -70, 0, -114, 0, 0, 26, 0, -82, 0, 0, -142, 0, 52, 0, 0, 176, 0, -40, 0, 0, 30, 0, -144, 0, 0, 128, 0, 68, 0, 0, 46, 0, 2, 0, 0, -36, 0, -60, 0, 0, 56, 0, 16, 0, 0, 90, 0, -204, 0, 0, -108, 0, 42, 0, 0, 128, 0, 12, 0, 0, 76, 0, 164, 0, 0, -178, 0, 348, 0, 0, -120, 0, 50, 0, 0, 98, 0, 128, 0, 0, -80, 0, -84, 0, 0, 268, 0, 100, 0, 0, -78, 0, 66, 0, 0, -238, 0, 62, 0, 0, -24, 0, 16, 0, 0, -264, 0, -30, 0, 0, 292, 0, 240, 0, 0, 126, 0, -30, 0, 0, -130, 0, 214, 0, 0, 224, 0, 102, 0, 0, -48, 0, -24, 0, 0, -80, 0, 44, 0, 0, 316, 0, -84, 0, 0, 8, 0, -18, 0, 0, 236, 0, 82, 0, 0, -186, 0, 380, 0, 0, -114, 0, -12, 0, 0, 114, 0, 56, 0, 0, 60, 0, -42, 0, 0, -324, 0, 108, 0, 0, 98, 0, -186, 0, 0, -222, 0, -154, 0, 0, 100, 0, -86, 0, 0, 120, 0, -100, 0, 0, -38, 0, -372, 0, 0, 162, 0, -80, 0, 0, 44, 0, -332, 0, 0, -238, 0, -274, 0, 0, 80, 0, 84, 0, 0, 36, 0, -480, 0, 0, 214, 0, -168, 0, 0, -286, 0, -90, 0, 0, -236, 0, 38, 0, 0, 216, 0, -228, 0, 0, -24, 0, -4, 0, 0, -194, 0, 80, 0, 0, -146, 0, -40, 0, 0, -316, 0, 40, 0, 0, 8, 0, -126, 0, 0, -174, 0, 96, 0, 0, 116, 0, 98, 0, 0, 84, 0, 446, 0, 0, -180, 0, 272, 0, 0, 6, 0, 42, 0, 0, 22, 0, 262, 0, 0, 90, 0, -210, 0, 0, 124, 0, -104, 0, 0, 210, 0, -18, 0, 0, -26, 0, 98, 0, 0, 240, 0, 70, 0, 0, -8, 0, -2, 0, 0, 344, 0, 336, 0, 0, 18, 0, -38, 0, 0, 72, 0, 314, 0, 0, 16, 0, 204, 0, 0, -84, 0, 60, 0, 0, -14, 0, 24, 0, 0, 260, 0, -146, 0, 0, -182, 0, -56, 0, 0, -304, 0, 84, 0, 0, -192, 0, 196, 0, 0, -286, 0, 30, 0, 0, 26, 0, -96, 0, 0, 172, 0, 284, 0, 0, 52, 0, 208, 0, 0, -198, 0, 118, 0, 0, -152, 0, -204, 0, 0, 198, 0, -204, 0, 0, 0, 0, 102, 0, 0, 152, 0, -428, 0, 0, 116, 0, -164, 0, 0, 90, 0, -580, 0, 0, -122, 0, 142, 0, 0, 140, 0, -384, 0, 0, -2, 0, -2, 0, 0, 284, 0, -72, 0, 0, -142, 0, 4, 0, 0, -60, 0, -66, 0, 0, 114, 0, -4, 0, 0, 122, 0, -126, 0, 0, 146, 0, 138, 0, 0, 114, 0, -184, 0, 0, -60, 0, -52, 0, 0, -154, 0, 28, 0, 0, -116, 0, 322, 0, 0, 72, 0, 0, 0, 0, -292, 0, -32, 0, 0, -288, 0, 232, 0, 0, -42, 0, -80, 0, 0, -222, 0, 504, 0, 0, -120, 0, -120, 0, 0, 872, 0, 120, 0, 0, -100, 0, 96, 0, 0, -514, 0, 318, 0, 0, 28, 0, 6, 0, 0, 504, 0, -294, 0, 0, 380, 0, 36, 0, 0, 68, 0, 190, 0, 0, 120, 0, -72, 0, 0, 54, 0, 162, 0, 0, -296, 0, 172, 0, 0, 204, 0, 544, 0, 0, 306, 0, -144, 0, 0, -132, 0, 132, 0, 0, -28, 0, -258, 0, 0, -508, 0, -4, 0, 0, -254, 0, 86, 0, 0, -172, 0, -166, 0, 0, 132, 0, 90, 0, 0, -288, 0, -156, 0, 0, 44, 0, 234, 0, 0, -346, 0, -146, 0, 0, 192, 0, 146, 0, 0, -60, 0, -280, 0, 0, -294, 0, -488, 0, 0, 124, 0, 222, 0, 0, -110, 0, -320, 0, 0, -170, 0, -84, 0, 0, 324, 0, 0, 0, 0, -90, 0, -298, 0, 0, 210, 0, -14, 0, 0, -382, 0, 220, 0, 0, 176, 0, -158, 0, 0, 300, 0, -972, 0, 0, -38, 0, -72, 0, 0, -12, 0, -204, 0, 0, -68, 0, -214, 0, 0, -512, 0, -324, 0, 0, 94, 0, -200, 0, 0, 76, 0, 464, 0, 0, 30, 0, -72, 0, 0, 236, 0, 60, 0, 0, -86, 0, -228, 0, 0, -80, 0, 172, 0, 0, 126, 0, -44, 0, 0, 204, 0, 182, 0, 0, 108, 0, -344, 0, 0, -66, 0, 264, 0, 0, 34, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 181348
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '225.2.e.c', 'target_level': 225, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 181349
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '225.2.e.c', 'target_level': 225, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 181350
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '225.2.e.e', 'target_level': 225, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 181351
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '225.2.e.e', 'target_level': 225, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 181352
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 11, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '225.2.k.c', 'target_level': 225, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 181353
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 11, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '225.2.k.c', 'target_level': 225, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 181354
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 11, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '225.2.k.c', 'target_level': 225, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 181355
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 11, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '225.2.k.c', 'target_level': 225, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 181356
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '675.2.e.c', 'target_level': 675, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 181357
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '675.2.e.c', 'target_level': 675, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 181358
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '675.2.e.e', 'target_level': 675, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 181359
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '675.2.e.e', 'target_level': 675, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 181360
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 11, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '675.2.k.c', 'target_level': 675, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 181361
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 11, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '675.2.k.c', 'target_level': 675, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 181362
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 11, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '675.2.k.c', 'target_level': 675, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 181363
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 11, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '675.2.k.c', 'target_level': 675, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 181364
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2025.2.a.p', 'target_level': 2025, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 181365
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '2025.2.a.q', 'target_level': 2025, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 181366
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '2025.2.a.y', 'target_level': 2025, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 181367
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '2025.2.a.z', 'target_level': 2025, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 181368
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2025.2.b.n', 'target_level': 2025, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 181369
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2025.2.b.n', 'target_level': 2025, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 181370
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2025.2.b.o', 'target_level': 2025, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 181371
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '225.2.k.c', 'source_level': 225, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2025.2.b.o', 'target_level': 2025, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 538250
{'charpoly_factorization': [[[81, 0, -441, 0, 2023, 0, -1842, 0, 1167, 0, -406, 0, 102, 0, -12, 0, 1], 1]], 'hecke_orbit_code': 9007886483063009, 'p': 2}
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id: 538251
{'charpoly_factorization': [[[6561, 0, 3645, 0, 324, 0, 135, 0, 135, 0, 15, 0, 4, 0, 5, 0, 1], 1]], 'hecke_orbit_code': 9007886483063009, 'p': 3}
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id: 538252
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 9007886483063009, 'p': 5}
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id: 538253
{'charpoly_factorization': [[[6561, 0, -29160, 0, 115506, 0, -58590, 0, 21195, 0, -3630, 0, 451, 0, -25, 0, 1], 1]], 'hecke_orbit_code': 9007886483063009, 'p': 7}
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id: 538254
{'charpoly_factorization': [[[81, 369, 1456, 1007, 593, 107, 26, -1, 1], 2]], 'hecke_orbit_code': 9007886483063009, 'p': 11}
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id: 538255
{'charpoly_factorization': [[[131079601, 0, -73788805, 0, 28554859, 0, -5843158, 0, 862027, 0, -59686, 0, 2962, 0, -64, 0, 1], 1]], 'hecke_orbit_code': 9007886483063009, 'p': 13}
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id: 538256
{'charpoly_factorization': [[[91809, 0, 24220, 0, 2214, 0, 81, 0, 1], 2]], 'hecke_orbit_code': 9007886483063009, 'p': 17}
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id: 538257
{'charpoly_factorization': [[[-25, -80, -27, 2, 1], 4]], 'hecke_orbit_code': 9007886483063009, 'p': 19}
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id: 538258
{'charpoly_factorization': [[[3486784401, 0, -1640558367, 0, 592799472, 0, -71156961, 0, 6056127, 0, -281097, 0, 9288, 0, -111, 0, 1], 1]], 'hecke_orbit_code': 9007886483063009, 'p': 23}
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id: 538259
{'charpoly_factorization': [[[16641, -18318, 15004, -5938, 1871, -244, 41, -1, 1], 2]], 'hecke_orbit_code': 9007886483063009, 'p': 29}
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id: 538260
{'charpoly_factorization': [[[59049, 6561, 10935, 810, 1629, 114, 58, -4, 1], 2]], 'hecke_orbit_code': 9007886483063009, 'p': 31}
-
id: 538261
{'charpoly_factorization': [[[418609, 0, 124903, 0, 9513, 0, 199, 0, 1], 2]], 'hecke_orbit_code': 9007886483063009, 'p': 37}
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id: 538262
{'charpoly_factorization': [[[42849, -33327, 20746, -6095, 1637, -197, 50, -5, 1], 2]], 'hecke_orbit_code': 9007886483063009, 'p': 41}
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id: 538263
{'charpoly_factorization': [[[205144679041, 0, -126271170052, 0, 71980515082, 0, -3356926096, 0, 105636307, 0, -1927312, 0, 25738, 0, -196, 0, 1], 1]], 'hecke_orbit_code': 9007886483063009, 'p': 43}
-
id: 538264
{'charpoly_factorization': [[[21071715921, 0, -12546845874, 0, 6325951549, 0, -627705066, 0, 45982884, 0, -1294114, 0, 26709, 0, -186, 0, 1], 1]], 'hecke_orbit_code': 9007886483063009, 'p': 47}
-
id: 538265
{'charpoly_factorization': [[[221841, 0, 113053, 0, 13614, 0, 228, 0, 1], 2]], 'hecke_orbit_code': 9007886483063009, 'p': 53}
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id: 538266
{'charpoly_factorization': [[[5349969, -2114082, 840022, -76814, 17855, -1862, 287, -17, 1], 2]], 'hecke_orbit_code': 9007886483063009, 'p': 59}
-
id: 538267
{'charpoly_factorization': [[[1, -91, 8278, -299, 1193, -143, 172, -13, 1], 2]], 'hecke_orbit_code': 9007886483063009, 'p': 61}
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id: 538268
{'charpoly_factorization': [[[3486784401, 0, -4281288696, 0, 4549304898, 0, -843115662, 0, 127775907, 0, -2455086, 0, 35107, 0, -217, 0, 1], 1]], 'hecke_orbit_code': 9007886483063009, 'p': 67}
-
id: 538269
{'charpoly_factorization': [[[381, -263, -40, 8, 1], 4]], 'hecke_orbit_code': 9007886483063009, 'p': 71}
-
id: 538270
{'charpoly_factorization': [[[12769, 0, 79777, 0, 8478, 0, 196, 0, 1], 2]], 'hecke_orbit_code': 9007886483063009, 'p': 73}
-
id: 538271
{'charpoly_factorization': [[[42849, -14283, 11592, -621, 1365, -93, 82, 7, 1], 2]], 'hecke_orbit_code': 9007886483063009, 'p': 79}
-
id: 538272
{'charpoly_factorization': [[[282429536481, 0, -251435897361, 0, 209121502059, 0, -12762024174, 0, 613578159, 0, -8029206, 0, 77274, 0, -324, 0, 1], 1]], 'hecke_orbit_code': 9007886483063009, 'p': 83}
-
id: 538273
{'charpoly_factorization': [[[2025, 405, -99, -9, 1], 4]], 'hecke_orbit_code': 9007886483063009, 'p': 89}
-
id: 538274
{'charpoly_factorization': [[[824843587681, 0, -163756440163, 0, 22726478692, 0, -1580980129, 0, 79268227, 0, -1783213, 0, 28828, 0, -199, 0, 1], 1]], 'hecke_orbit_code': 9007886483063009, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 3, 'label': '225.2.k.c', 'level': 225, 'portrait': 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HwtENYwP2WYm0xY7gR0BoJh7LHSF2yaNCy1DSfOK2qez6YZ2DYfsnF2yIbZEZtmR2zbaNmxSXHFdo+6anL0xARfe8rnkQMxTxyPSFSXN7+0zS0vttTVLAeOT3H0jOb0hYRzKbgPLVpuuGqBX3jXCtvnJjlzYYoLKzWW2h7LbclKN6HbS+gNBQeOLXLgRPuKxw+ce9nRk2d3HTt1/gs3veY7w3tu/+RzDYlv6vZ3msGXV9qEoUUpfuWrjx568c/+5sfkO15y9MX/+rtO64XlTSytTrLUbrDU9llqa5basNxOWG5HLK0mnFuFw0uC+blVfvEHlnjhpQ1Onp/hzIUmZxY155cs5xZjTi0kXOjGTM0Meck1PV50OfiyTqACzi/XOLuoObcs6I8gjg0139CsJUxPxhjg+LmYTg92bvRo1kdYK0D49AaGHZtGLK1qsE6KrPZgFIPFstwO2brBoztQCGURZsREzWPH5iGrfcHxM5rEaGYnJK2aIPAgjgX9keTcsuTskuX8SkwQDMGLuenKHi++SjA/UWdpZYKT5wPOLML5xZjzyzGnl+HwkuUFVy7ySz+wwqapCU6cm+HcUp2FFZ/FtmR5NWGlE7HSSVjuWha7gpMdWF1q85v/v2H8/W8M7lXTP2F048p7BeZnLR5BbeK5hsqz3v7OMviH/vST3Pyi6/k3/+bf/PKffeqOf/3+j3z54qePd3YdOt2XL766z0WbDYnRWKuw1rE3VgISEAhh0cLiSzizVOeBQ5Jr9ixz+fYhjRp4WuJ7Ct/XNOuShifp9zz2H6vxxUd8jl8Y0Ykj9p8csXF2mbe8ZIVrLu7ygsvbHFuMWewLGsGQI2cs7U6Tqy+SrA4T9h5TtBqap4/DJVsswzBhmPhoHTHdgn0nA5RO8GSM9mAwkrzw8j6DvuSaixM6g4TjZ1rs3qRoNkJWR5YNU31Weh0+dgc8djThiaNDdm5Z4trLOkzPhLzppi7f9XLLnk0tkmiKo6cnOXzK4+Q5w6kLEacuJBy+IDixGvG8Sxf4xR/osnFqipPnZji/1GBh1WepLVlpJ7S7Eau9hJWeZbkH5/uKlU7MDVcs8ZPfsSADJXadO3tq96Af31hv7a7Xm9NfevDev+S9H/jIcw2ZdW9/Jxn8w3/2Sfbs2qwef/rofzh64tzPP/zEMXV2KWRhqDnbN1yz8zy/8eMLXLenwfmlaZbaDZbbNZbbHssdzUoXVtoJK52Y5W7MYhtOrgh0fcjNVy3zPS8P2b2hyWpvggvLdRaWfRbbguW2kwgrXUNnYOiMLP1hzOxExI6NBhAEnuXUBQ8hA3ZuUOzeYtmyoc/5lRGPH2zx/EssjfoKTx2aodUMCUOP2WnDYAhX7Bjy4TumuGx7zGhkmZuURMmAVi3g6WND6l6T6y6NeeJIyPkln62zAbs3w45NIUpFnFoE37MIYdm5MWa6JekOAnp9j07fY7mjWF6FpbZhuZ2w2E4414alYcKOrT2+5xWL3Hy5puZNcHZxgsWVGourmuWOYKVtWO1GrHQTVnuWpR6c6yrOr8a88LJzvPvHl7hkW4Ol1QmW23W6w0lUcHHiNzb9cn3iol8a9c8kL375dzzX0Flz+zsF8AP7D1Cr1+qnT53a8dCjT73j+Ikz/+XA4VMMI0l3ACsDwYW+4kw35gUXnePXf3yZay+qc2FlmqXVBiudGssdj5WOZqUD7a5htRuz0o1Z7ljOtwVnehZEj1te2uZNLzRctLlGGDZYaddY7fm0u4qVnqDbFwxHljC2JAkoaQk8qAeWqQnLhpkI7Q05fDbkyUMBJm7yhhtDtLfKw3sn2bUZPv9AzEuvDrjQHlDTijiJmJmGOPLQXszSUoOXXN/h8/e12L0ZHjo4wqPB619oiMWAJw8nHD1VQ0ufjdOa6aagHgh8X6AExAbCyDIModu3rPYM3b5htW9Y6lkGScLObX3e9KI2t7w4BNNiaXWSC8t1p7c7mpU2rHYT2r2Y1RTcy30421EsdBJecOl53v3jF7hyZ53FlSlWug3avYB216PdFdRa22i0Nv77DVsu//OtW7eeGI2Gg0suuey5hlJ++zsD8NMnDrJhw5y//8DhH9q3/9B77n/wUbG00pOj0NIfGnpDS2cAqwPJhYHkbDfihRdf4Nd+ZInrL66xuDrF0mqTlU7AatdnpatZ7QraXUu7l7DajWn3DCs9y4Wu4GzbMD3V57Uv6HLT5TE7Nyom6h6dbo3Ak4AijCXGCIyF/hAQhunWkIOnLcaG3P5Qk1G/zsVbfW6+pk9kVrnrkSmuu8Tj4Lke7ZUJXnRNny89HLBxxrL3uOWfvq3D3mMBG2ckX3xEcfMViuV+hyMnZ7ju0pC7nhwQjxrcdKXPnu1DBnGP2x5WkAgOn9JMNDRaQH8gMVaQGEsUA9KgfUO7Z2m2IrZvHvHiK/q89vkxs80a55cnWVqts9Jx52alI2j3oN2Nafdi2r2Edt+y3Jec6woWuzE3XrbAL//IAtfurrGwOslqt0GnF9Dp+XT6mt5Q0h8KYlMzO3dfbXfs2vOTu3df/IdLSwvhVVf+3QD53wmAR1EsR6PBWx687/MXR1H87gcefMjr9gWDkWUwihkMDb2BoTeydAeC9kBwYSA504656YoL/MqPLPD8PT6rnUkWVlq0ezVWuz6rPU27q2j3oduzdPoxnV5Cb2Bo9y0LPcFCD6JkxLWXDNg0k9DrW974ohG7NhniRKKlJYzgzsdrnLhQY/N0zFOHa2AaXL5Ncf1lhqDW5+GDfRYWm1y1q8nE1Ar3PeFxwyU1lvqrrKxMsGmT5YG9in/wqh4P7tVs2+Cx2GuzsjzD9Vf0ue+phJn6FFdd3ONCu80Dz0xR101ecJnl0h1DkD0ePyrYMBNxfiHirsc9hpFCSkiMZdfmkNe+KKTbU2yZNlx/CYRhg+V2g+V2wGrPo9NXtHuSTg86/YROL6HbT+j0Dat9y/JAcrojaA9G3HzpAr/0wyu84BJ3cbS7dTr9gG7fozvQdPsqB3in57T7dde/INLa+3dv/863HGo26n+ttGeea2w955nMcNQnifs/cPLow79x4ezBmeXlZRo1hU0DRYEF665DIZwFKIRFSouUmgcPbORnP6B5283LvPNVy+zeGnJuaYLAr1MPfBqBR7Ou6dYlrYHHZFPTHyb0BgkbR4bByNIdBiwv1Dh10hLGhtPnYoLAAgJfWbQU9AcKgUfc1zxvl2DPFsuOrX1GSZdbH1TsOzTN654fcP0VK3zoVosvGuza2ueJ+xRbpxRzE31qqk4YeVzoQrOm2bZR8Ni+kOsvrfPy6xb5o88O8L0Wr7nR4gV9vvxAyOfvb/LM0ToXbWmwa3PC/HTI7rmIq3clKGXQygKWRhAwPxUQRh7dvs9TBz1XojBwQOwNoDe09Prus3cHCb2BpTOwrA5goa84v2JpTLb5qTcs8B03j7j2oiZnFydo92p0c3AreoMC3P2BZRRCnAjuufdBb2Z27jfmN2xaftmLX/ivOp3+H01MNP7PBXg06oHgh88ev+9Xjuy9YyYadPE9H2MyV0S4tygShCA9XCeNkhYlE3wpeeLgPI8eaHLwzAXe9uIeL75yyFRrguV2g2anxsTAp9fX7ssZSgZDTX+kGY4sw9AQRpYossSJO8LYxxqQSuBpQc0XTLUE0y3YNGfYtrHP3HSbLzwMdz/qIc0kr3u+x/Mu73LPMxHhcIKbnydoDwZcWGpy06WGuak+dR0wjBULnQhlBM+7VNNojXhkf42XXT/Ji67t8sh+BXaS51/p84/fvMyXHgv54oNN9p6osWNesWmmznSrwWQL6gF42qIkGAt7jwqSRBDFgjCGUYT7jKOEwcgwHBn6Q0N/ZOgNoDOChZ7kQhdGZsirr1vmLS9u832vMcTxBOcWm3R6NboDn97AozdQdAfKAXsoGAwt/ZFhMIoJY8Mwshw6cobTF26d6fbj//Yd3/Zy3e31P9BqPncgf84AHg6XEcL84/Mn7/qVs0e/tEHRY6LlMxiZkm7KLD+FEAIpScENSlm0snjKUPcEi/06H71jG19+tMNLr17lXa9e5erdPWanGiytNugOAvoDLwW2ckcoGEWSKBbEsVvqXe2WCyq1hpoPjbphphWxdUOfmB4HT0d87K4aR042mQrq3HCl5qZrOjxwoM3tX5vgxktq7Njc58N3CJQImGhFrPZGGAtKwPxEn07Xx8R13vLSC3z08w32nK/xphv7hNESdz05S5TUeOGVG3jTDR0u2d7my4/0eeJkg8eP+mybkcxMCBqBwPfcRSjTi99YMMYSxenFGllGkbuQhyEMQugOBSsjwXIXhB5y3WWrvOu1q7z0yoTZiTornQbtbp1uP6A39OgNipWgP5IMhtBPL5zhMGE4MgxDx+SRUSyfa/PHf/7FDcOIX7nl215iz19Y/oONG2b+zwD4237qvXzqdxJWT3/sB000enf3/L45Lbo06zWkjBG4wCBjbIRECIEQEiU1UiYoJdLl2eApS6AtdS1YGSqW2tN8/M4m9z/V4+ZrV3nXa1a5bk+b2aROHAf0hzV6A4/BSBNGiiiWxIkkMQJjhcuCCkvgGxq1mMAP8b0Rp5dGfPYhyaFTPkdPTaNMwJ7NPlfsVjz/8g4qWODJwy22TjW46iLYNL/CcmeCq7dKYmP5woMBo75kqhnz+hcO+eu7Ik6ca3HZxR5nV4c8fcRj+8Zprt29wD1PdLnvacEo9Ll89wyXbw+4fFuXw2eXOXQaHtzX4OCRJg0tCLSkGVhqHkjpzp217mKNEwhjCBNBbyToDAWdCEITY+yQF1zS4V2v7fDSqxM2zwQMh5MstWt0ewG9oU9/oOkNFf2hYjASDIaSwcj1jQ5HifP4U5k3jEy6IkKYKI6d6fB7H/nKhvv2nX/3zIwf3/gPb/vQ/b97H6L1C39/Ad47+1s0N1u+W6nve9nlj//2O1+yf6rhNzGNBmoUpvLDMZEQCincl6akQCmBViq9N2iV4GmBrw2+Zwk8S8NPmKoJuiOPlc40n7x7gjseH7Jxus87XtHm8u1DhoMeV+22bN+kGEUeSVKk+QUWKQ2eTjh+3nL0nGB1YPjMPQ1OL05jQ4/pmmLLrGbnJs1FW+GqPR2MXOR9f91keXmSGy/XXLWnzZcfF4jYY8O0pNmI6Uc+0kqwEqV92kPB+WXBlbbBK57f5d5H6myZ87nxqhn+0ZsX+cPPd3lwf5Pe0GNptcXuLXUu29znhZd2+c6XdTmzvMxn7glY6gccP+tx+rSPpwRSSgQCYy2JgchYktgwPRtxzZV9RqOIy7ePePsrRmyYVMy0AqKoxtmFGv2BT3/kVrlBDmzpwD0SDEe4lWCUMAwNozBJQW0ZRpZBCINQMAgF/URz/ESHfafvmPsv/yT47ft+e0tE89c/8mP/8Y957y/+wN8/gD/84K/zT953leidffC7P/OVU+9/5uBTDU9HaKVIEpkGlBm4PaSwTpJIi5QSJSVaCbRK77XA0wm+FvieoeZZ6pGlEVomawnTdUE/lHTDJkdPNfm1j8yAiRFxzPOv6bN7U0gcg7EGa10SRwqBVALt+ew/4bP3UI1mTdPyJXMNwfysZMOMZsu8YufmhMt2rpKIJX7nUxMcPzHFjZd6XL4rYRB3+dqTAVN1j9lJy1QrpFF3UsgYSXuoWO5ZltoJ7V6dl1y1ykN7++w7oZiaqPHCK6f4kbcs8bufhkcONekNLKtdzfnlCTbNNdgwPWTn7JB/8919JhptnjgK+09KPM+ilEUIA1j3PwtxDLs2Jdx8dUwSeURxgLUNhqHHuUWfwcitaMNQ5fJtEAqGI8EwdKw9Cl1WdjQyjELDMDLpa9kBw0jQjwSdULASSbphzKQ34MSJw1O/9D7//UcX3h3/4a+Ijz/vovfYn/qhn/z7A/B//ssf5Rf+9BJ180X33/Jnnzv9oZOnnqodO+tx6FzE9Rf3Mcbpa+eO+GkA6aGURUmFUirV2xJPO83pe4qRJxmFhiBMGEWWemQYRYYwtEzEMIoMoxjCWDCMJKMkIEpq7DvU5PF9kFiLg7bTxp4EX7maj1YAV22GiTpMNiXTLcXslGbDDOzYNGLz/CqRXeZ3PjXJ4SOTXH+R4qJtkj3bVvjK0zHnlyZ5/m7J9ISh5g8IZIBVgjiRCGuJk5CVXo3zSx7XX17neZd2ueeRGhunBY1ai+svNfzULUv89qcNT59usdozrHYVCyuauakm0xN1picmmWhEzDcjdl4fEngxno5RKkEKF0xY3EUVRYoLC5ooVkSxIowUoyi9DyWjSDIKJcNQMgqFC1BDwSi0jEJ3XkdhQhimmj5yr2fAHkbQjwTdFNy9UYwNu1y+q8tlOxL2HX+08fxdyYcef3Cn+af/8OJPveu1v5fM7Pgn3/oA/8+/8WdMt3zlm6fe/sWvtf/orvsHtYRdYEYstDW/9KNtrtjWQ0mDkAYpLUqZ9PBQ0uIpi6cVnrZ4ocT3hPsSPMHIV4SRA3oUWcI4ca5IXDoSiBNLkhgSg9PbhhzcQoCSoCV4HgRaUAsEjUDSbCgmG5LpScGGmZidm/q0mqt86t6Qu56cYXVxgmt2KHZu9rhk+5BErPKFBxs0Pc38tKLVGPLkYXjmiObq7Zb+SHHtJRHX7LGcO5uwsOIzGDZ4ww1dvvrEgIOnFc26JPAnuPoiwy/94BJ3Pj3gr++cY6lj2bkhYaWtmZpQTDY9Wg2PZt1SCwyBbwh0glZOasm0tdJaXMLKCGIjiRNBHAuiWBLGgiiSjCLnvISRIIwsYQijKCGMDGGJOEZR+XDgHqTg7kSSdgT9UYiM+ly/a4Wf+6Fl3vqSiDj2GA6fqA2s9yen9rX+YcKGT5zY+6FkxxU/+K0N8Lo2crXdfufx42d+78DBE7XWdItuZEjikL+61yMcKd7+yi7f/eoe0xMxXZmgZZDqbKeHPa3xIk2gFUPPMc3Ik4S+IIyE+3IiRRRDGEnnIMSF7RcnhiRx7kJiU6ckdUsyd0ZJJ3t8LQh8SS2QNOuCiYZlqmXYODNifrpLbFf5+Fclf/j5WTbUalyzQ7Bjs8euLYadm1f41Ncsy8s1Lt+kmJ6AViPi/DHJhZUAfzeMIsH8pGRqCg4etax0DOcWa1yyq8arnt/ls3fXmG1B4PsoOcXVewQ/+qYLePICf3XPNM+crrGxE7FhKmayqWjVFY26pB5oAh8CD7R2DpMUIEUJ5LgLOzGQJII4IQU6RIkljCGKEkcKkSHM7iOT2o6ZK5NakLFgEAl6kaATC7qhJRyFTAYd3vGGJd7xih6vfb6l051gGAaMwoDe4FQNb+L90q9rhPdnOJ751gT4e//w0yTG/OBTe4/8+qHDJydm6ho/Mmgh6MqAUCq+8KDma0/XObuyxD/9zgEzEzHDoE6nX0MrH097eNrDDxNCT+OHTpqEkUulO8YRjolSVopjiBJIEuckGOMCLmNs1sOZgtsB3AWuAk87gNQCaNQMrXrMVCtmfmrA3PQq9+4L+ZPb6+w/OsWuSY89m2DbJp9tG+GyHR36cYcH9k5QVx7z04qpFky1RkxPxvi+Rgh3cQ1GPsudiNW+pd2LubDis2NTixddfoHbH+yz//QEjSDCUz5CTLJnq+L7X7PICy67wJ/c3uKBp6ZY6mk2TMRMNWIaNUm9pgg8QeBJPM/FKkqRBu0O5RbXw2oMOdDjxKSrW2otxoY4ceCOIwhjWxyRc2WGsSOVfgbsGIbDGBMNmW10+InvWubffG+PRuDT7tYZhgFh7FoGR6HPoH1yQte935ndeJV/6KlP/+HFV7/tWw/gyyttlJQ//Hsf/ItfOXr89GzNl4jY5nrXl4KO9BhIyerI49f/3GPv4RXe8rIer7iuy8a5kG6nzmAU4Hsxge8xCjWB7+y9DOBRJAljt+xGceppJ6TWHylzS4ylALdLUqbMDVq5hInvWWq+oV6LadVipidGbJ7rcL7d5z2f8fjCQzMsrzS5eF6wY4Ng6wafbRsEu7cM0f4qH71Lc+Rkk0s3SqZbkslmgpQjTi9YAi2RAqwVhJFm54YOD5LQ6StWOpbzy3Uu3VbjO1/R5hNf9jl2PsDTEUJ4GNskiiXP373Czu/t8IVH+nz4CzM8fKzJ1mnBXDOhWUuo+YLAE/iei1W0wgXOUuS5BYu7yIzFOS2JA3wG8jhxks6BHcLE1bqEWfIoFgxi6MaSbgyD0JD0R2yb6/Dy61d568v6vPEGgxYNVlZrhJHPKPIZRR5hqBmFLg7oL5+ebUzsevdlz7tFjYbtDwS1/z0Tt/63AHx1tY3vef/o87ff9StPPPn0Bk9Z52WTLpvSoqTAk4KulPRkjXao+ehXatz5RJfrL+/wva/p86Yb28xOBQyGAYORT+B5hLFHGOk8UIpjRZRI4lgSJYI4liSJIDGi0NpGkKsS65hbCpcsUmmyyPcMgZ9QD2Ja9RFzUz0G0YAvP2n52FcmeeCpKaZ9j6u3WjbPSDbO+myZl2zbGHLR1hWeODbgM1+dZ1Jp5icFE03BRCOi3U/4/NdqtHyLEA5Yg5HmLTeP+Nz9riam3TNcWNFs29DibS/u8cC+LnsP+jSDGCWFA7lpMAyd1v/+V7W5dPMFPnpnh/uemeLESp1NE4LJmqXhG2ra4HuglUBJ0gRZmldIoW5SqWZMscLFKdAdQUCUCKIkBXYiGMaCfizoJbiYJwxp1vu87XXLvPM1HZ5/acLGaY/BsEmn56fg9ghD951lQa377gQnju3bILyv/crFV7zU9LqdDzZbf/uNE3+rAF9YXCWJ+wjBD9x59z3//bbb75jtdlap+ZIoxll/sQO5EqBT56ImoSs9+p7iVCfgzP0N7n+yxyeu6fL2Vw14/c1DZqZ8wlHAKPYII48o1kQp0ONEESdpwiYpAG5sytymyI06GxKUdHUcWht8LyHwI+pBSKs+IGHAlx6RfOSOKZ46OomIAnZNWzZPWeamFPMzPpvmJFvmI3Zs6nByocvv/3WTeFRn2zbBVEsz0YSJRoTwQjqDJlMtd5FbC1EsmQkUsYnpRj7dfsJKR3F6oc6VF7X4sW9f5d1/FnB8oYlWUXphaOK4xjCUbJoNeP7FHa65qMfTx0/zsa/Uuf3hKc606zQDRcuHpmfxtcVToKVL5wtRra4zgDXuokuMILGupiQxDtxh4pJEg0QwSGAQW+I4xkQjZmsD3vDqVd7x6i4vvTpisu4RRk1W2gGjyCeKNWHkpautJooUYaxcQBu7BNug02Hpobs2DEL13y+/8gXx6TNn/3hupk5Qm/q7CfB+f0Cj0XjrV+5+8Hc/d+vtE+1Oh5qviGKb610p3MlWqcetE4snBb4y1BNBX/n0Y82FUY2/ur/JXU/1eeEXe/yz7+pyxY4OG6YUEw1NGPmEsUccFyBPMoAbibESa50ksHlAmab6lXVBrI4J/BhPhXQGEQudiN/6VI2jF6Z5ZO8U1vjM1gUb5ixzk4LZCcXslMfGWcmm2Zit831mp1b4wqOGh5+Z4pptgumWpNWQTDQMzXqI8EYEgUYr9/ethSSRDEaawTAiNoLuwNDtWZY7HueWJrjpsh4vunKVj36xRn1ZoWXkAGk1ceITRq7Hc26qxgv29HjBxT0efPkZji9I/uT2KS6sNji1FOArSdMT+JkMk2kiDdKUZypVcEweW0FsIDKCUQLDGEJjIYkhjpBqxJbpAdfsdN/HDVckTNQ1cdyk3XXAjlNgO5bWqVOj8qxxlMrKKM0eDwcd9j5xx+xEQ/zuRRdfvzIaDT7zt4nJvzWA7913gB3bN6n3fuAjFz/9zP6J5eVVAl/nJ1Sk0kTGDuQZ0KNE4CmLH1tqiaChBAMl6OuAQeKxFNa5/eFJ7n1mQDMY8Q/f2GbbbMyuLQNuuqqLFq5FTAgnV1xW0tVKW1tibixCWpRwnrklBhnz9FHJQ/s0n32gxdMnWoRxg5ZWzNctM03LdMM6H3xCMzOpmZ0SbJqJ2TI/YPP8Cnc9NeJ9n93A5inN/ARMNBUTTUGrEVMPRtx7QDEMNV7TgcpaQRhLalpx3aUD7n9yyhU+DRJWOx6LqwHnF6f5sTed59TiEvc/No8nARFhIAfQKJT0BprpVo2piSYvurTPy6/p872vXGDfScPnHqjxwL46B440iYVmNFL0I4XKSx/KgWeaE7CG2FisMXgiYdIPqRHxout77N48ZNtcxLteP6LuS5p1jzBs0O766UqqU8JRudcexSVQVw6RykkBQtLvrfL041+dWFo8d/HNr3iHOnXiULJtx8V/dwC+b+9eNm+c9x988KEf8lTy6/3eCs26B4DJlkZpkYkDt5YCFeMkQmLRMXhS4BlLEFtqStBIBCMDw8RjkHj0kxrdbsJ//+g0No7YOD/kyh1DZidj3v6qATs2hESRSPW2hBJzI7ILzCCk4JN31nnicBOhNcfPNDh9vkGtrpgMBFNNy0TNMFGDVl0w2VBMtBTTLc3sFMxNxWycHbJ1Q4fErvLJr04w6DW5ZJtloqFoNSStuqFVi/G8kC/cX2PUl3gbXOlYJlGadcUbXjjg7kcNvZGkN0jo9DWrXc25pQZX7G7x9pd2eOTpBseXWyhpgCjVyx5RohhFLjHTG2raPZ9WvUGzPuKKbUNuvGzIyQttjp1dRXsJjx/RfOIrDYRyhWuMzx+0BjBgLVGYsHNjzDteNWBuIuGynZaNs5DEHqOwRRx7rHQ84kgRJTqNgxRR5FbSKFZpTCTTWp+yAeBcrjgRxImLkaz1OH1uldpk8utPPvFwf+Pm3X944MDe8NJLr/i7AfAzp0+xvLRw6clTp97z+OMPy0ZNpbUQFpNYEinS7KRFS4ilq9aLjEDHTidGicVLIFaCILHUjCVOBKGxhIlgZCSjRBIaj8jAQm+CrzxhsCT85QNuZAPWpEeWxUstMpFVJEqkUsSRRhqNpyWtAHbPW5qeoREYGgE0AkGzLmnVnRyabEmmJ2B2MmZ+esSW+S4JK/zWX9S458kN7JmF6UbK3g1Jqx7TqIc0GwPq9QaBkiiZanCcHIgij+FAMBgldEeK3tDQHRjXMtf0OXV+kpdcOeKnvvs8v/EJzYnVACEM1kaYxBLFHmEkGY5cGWtroGnWfBr1Go2gQS2IaNVDnn9JiO9F3HBJzLte3UerOE0CGYSwVVGeSjpjJEJIAk8BPsORZmlFu7qdJIt50iOWRQwUp0fiwJ0BO0ssZaCOMw8+yXx5QZJY7n/gYTkYqfe0O4OvjkbDp/42sPn/GuB3f+UvmZpU9SNHD91y+NAh0ap7xEakyRVDIh3QkzSZEkuLVBaVgEogUS5i14nrfYyziD5Jo/ossjeieG4EoZHEVpIYTWQCktT2Kt/yLKUALYTLVCqo1S01bamphMCDQEPNt9QDQd2XNOqSRk07gDcFUy3DzETM7NSIDTM9tmxY4n2fNXz49o1sn1LMtQwTTUWroWg2oFFPaNUjzi4ZDp8NqPnugoas0k8wDDW7Nxk2zQ3pDH0GQ5uyuGS1q2nVa7QaU7zr1Rc4cvYc7//MVrTUWAyJSYiNJYo1o1AxCF1RVL8maQw19cCjHiS0uy7G8L3EJcy8BC1do4SULp0v0sOVrrhaTgdyQdukVZbGxTVJIjFGEpsi3nFgzQL87HHpPhbp606WJCmwY5M9Jn9tGMKDDz0mdu7q3rJt+87DH/noJwff987vem4BPt2Sfr97/mcG3XM/oxjKRl0yikDlH9j5q4l0YFcKVCJIUnkSG9Dph0yy5IOx6XObv1Y8LirlnJcr8kCprLmBNJPnAistDVqS1rSApwSets431oJaIKn5knqgqNcUrbqk1bBMNhOmWjEzEyPmpvvs2LjEAwdGfPTOLUzXAja2DBMN4cBdlzRrhmYtptUY8cB+eHxfg4vnU5tUFGnzwUhxw2WWS3YMePCpKfojy2CY0BvoFOQejVqdem2K73nZMo8fuMD9ezeBVRiTuHLY2BJHNq8nGYw0jaGlXlPUfEPgewR+QqANWid42mWHlXINI1K6WIiscyqlhSI4dyXEJnOkTGa/lqzY7Hs2DsTFc3JgZ4cjMHefgTs25FnnKLIMhj1pjp/+D1bW/Gaz9ctA+JwBfDjsyygc/Kf77/rwv2qvnPUD38tPk5KCWAiktI7FpQN1YiwqA72yaJM+NiKVNOSPkyzjZrPMm8WkmbgsWWGtpZR5r6y4Wao6S+gomWYsFaWiLZf9C3xFLVDUA0GjLmjVLRONhMlmzFRrxOzkgC3zK9y/f8B/+qONnDg1xUVzhqkGTNQVzbqiWYNmLaFei/C9Ie2hKxbzlEXK4p0lxjFcFPtM1CP6saGf1ln3hwndvqRdVzS6AbWgxa5NEb/0Q23+44ckX9u7EYvCWLdCxonrpgkjxTBUDAJJfaSo+ZLAtwS+ItAGz3N+v1ZZrY8DuEplSlbNmd/S1L5NScSmtSxJCvjEFPeOjGR6LwqAp49z1k5StybJsqjpqp1mU6PIEBs4dvy0r/zmv/uX//SNXr/f//eNRuNvnM7/GwO82+0SRfEvP/Tgff/ixInTNSEUUlo87WAm0wSDSgSJFMQqA7LFSJuDPUksJntsBMbYPI1sco8WrLGuizwtAS0fjAG8aG9L34PIasqdXabTVjRPSwLfDQCqBW4kQz2wNGuGViNhohEx2QqZmRiwZX6V+/f1+Y9/OMf+EzPsnHEOS6suaTakY++6pVFLaNQioiTkT7/YQiqFJy1KFDahsdkS7vH9r1vhtodDumFAPwV4b6Do9hTtQFPzAwJvgsu2x/yXf7zEL/yh4L6nNmKsJDEurR7FrtBsFBpGNVfuGgSCmicIfJfZ9LXNM7ZaGScTJXlZcg7wIuUJpCSCyyU4tyUN5DMAp1MHTJ5cI2V38hU3yQFNkTU1rpQiyWuFLFGKD+0pzpw6Ubvr7q/+y9e95lWi2+3+bKvV+v8W4GdOHcFa+6KD+x6rR6MIrSVKglXuzEiRzu6QOP1tHNCTPD2cgTuTH+41k9dKFO1XDujC1VFkoM5O/Nj7yi3JrM5EFk0TWR25A7jE86Sr3/AFtcDNPGkECc26A/dEM2RqYsD8VJsH9vX5Tx+c4enjc2ybFsw2S9KkpmnWXP1KvRZTD0I8b8TppWk8JVylpEj1LelqlEjiWLF52hLHEZ2olnbKGAbDhO5QUu8rar6H79Xw9CSXb4v5L/9ogZ/7A7j/mQ0kRjqAJ5YoTlImN4wCQy2UDH2VSzDPA0+nzpWSLheQ1dtnLpcozmGZNKxNM8EmZfVMHqbJoSxbnCSl100hOXP5mdh8JU5MQXhloBvjsGOSiAcfeLi+e9fOF0kp+Zve/kYAf/rRW2kGw8a993zZF2YF3xOlbhxnBSYpsKURKYjTD5oyujGWRJODvQrsTIbYHOg2kyPZ42d5b1IURVRuFRE5uJWUaaNEJk+g5kHgG+o1Sz1w+rlRj5hohEw1B8xNt3n44JBf+MA0Tx6fZ8uUYr5pmKwLWjVJo6Zo1AX1mrs4XKo/5P69gt7Qp6aypJbT4FkTQmIEUaxp1hQ3XdXlgacn6EekozIS+gNFN1AEvsL3/FQ/T3HFdsOv/sgFfvq9cN/eDURGEhmTNksXPZgjXxL4xrG3V9TRa5UdpDKlkHEyzfKuB/IsKWQzgKeAT3LnhXVXXpPGUiYDtbGl77xg8YLkslVZcPrcCh/52F/5b3rjGxof+8Tn+t/z9m/73w/w7soRmlNbp5566C9/31e9l9WDOE2suDcmjZMEiYFYClQWHCaCRJKDPbvKjRLrs3YJ0CYHdtEUTKq98y9DuIIiIbOLTOTgdgAHlVYMehp8D9cJ5KcFVkFCPZUXrfqIydaA6VaHxw6N+IUPTPP4sQ1smtLMNwyTdWjWBM26olFXNHL2TqgFMa3GkLse91lt15ieLtLkGWBMqk2jRLFhVvHq5/W46yHjumhCUwK5pOZJap7G0z5a15HScMV2y6/8yAV++r2W+/ZvIDKaKK0AdGWvjsmDSObVhb6WaJ0WYUmB0tm5IX9/2UWYSRWRVaVRJITGD1O6N6Z0n6+8BbhNDnRKzyExJifAbJU2FpJhhFD9l+07ePQPfugH3v7jT+8/tnrVZbv+NwO8c4ZBf+GnB53D7yS+QD0ISIzJ/UxlLEY68KqSDnM6m/z3sis+kx9JLkPI2bsSSI4zd4r0LCOXa2+ZVdAVujurGNQKV5+hLZ7nGotrvqHmJ9RrMY1aRLM2otUYMjPZ5pEDI37mvXM8dmQjG6Y8NjQSJhs2BXfK3jVJPXDsXwtiGkFIbEZ0wwChJF7G4LkGFym7pQVikUfTH7pygbDGdAbyYULfdwwe+NLVxOtsA1rL1bss7/7x8/zb3zPct28jkdGMEkGYmJTFBbXIEHgW33O9qzqNO7RyJcJKyvT8pF352X2pMCu/MMuxzhi4cxIqEVMZ3DmQbfG4AHfB3OWLI0mlzrFTi/iNo++892uPHh6F0c/9b2Xw5cVTNCe37nzmwfde0+ucxfclMklyy0jlETYpc4tS4Fgy9Us1ydloNJsFk7YIxAqmKLKStrxmZqxdDiqz5Tbt0FFpMKV12hmUFiFl1YM1L0l1c0S9NmJ6os9ks8v9e2N+9n1zPHpkI/OTmvl6wmTN0krBXa85OzEDdz1IqPkxE82Qvccsdz7SxJcST5k0iCs8imz5jhJFbDSveH7ExRf1OHyiznyDos9xlNAfpiysFVp7ecJMCMtVO+FXf3SRn3uv4atPzzOM6i4ZFlsaaQ134OFArrPVy+S9rVIl+QqnpCgBXJRAzhq9UoDcVgGeVygWK+96K7OpALrM6NWVIDEWhOLo8bN8+a6HrvnPP/ejO48eO3V8965tf/sA73dOE9Qmd505ed9vDvorb42jPlpphDAoWbaNQFlZBB65vWQxSSZHxJolLfOHbe5pj7kka9ySbNrVGLiFRarMFkyzpyplbW3xtcHzDIFnCPyYmh9TC0IatREzk31Wun3ufgp+9SObeOLQHHMpuKfqllZd0KyJ3Ct3zotx7O07gNeDEWGSMBzUqCl3kUlRWvrJNKtIA03ttLweMQotg0iUAG7w/QTf03iedFMFpJcDHAHX7hb86o+v8N//LOa+fbOcaU8wbEqmEksrttTSiQOBZ1PvP3NSbM7emVTJAJ6/3/RNl3GeK8T0S8lW1QLcVUnpqjlLYK8APbN+i9U8Gfu5sYJer8/i4vJbb/3ifcnNNz7vXx45dubYRbu2/O0CvLt6jGG/fmN3+elbBu39eJ4HGJQpltwc1Na6JoOUuXMrSYn8TTtQi3RpyxI2VSlSBnh2isuqMPsS3LgH8lpzmYE7Hw7kymI9bdIxE0kO7sBPwT3TY2FlwK/8aYPPfG2exd4085OS+VoK7prT3Y00sKwHkkZgUwZ32rsWhEDIHY/5rEQ+swGVemxEdYVKEtf8MBFoXnV9n/v3h3SjgMm8Y93gj1ytuq8dwLVyDdlCugQNFi7fLvmNf9bhc/cP+OUPbuTU4jSDKc2UL2jFhkYMQeRGL/vKDTTyskBTijwIzu7LgXr5whQi7xXJvx8Yk5BlYJfiJ1MCfzmPsQbkFQZPV2+heODRQ2zctOmWeqP5p93e4NjfKoPHYQ/lNS65cPKuf95feYxG3WJJnPmfZrtULkPSZEBicyCblNFtWWvnoM4kiC1sqHHWLssSsoFA7kRn6ebMBVAZwJVFSwds19vp+jt9L8H3Ymp+ROBHtOoDtO5z1+MJf/D5CT57zwZCM8GGCcFczckSZwFmPrlKD5Eyd5m9I7Qece8zU/RDzeZG9n7GGTxb3SRRrKh5ihddMSA2DuCDSLiu9axzfWRccKjT2TCpvSfS5LpFMDcleOcre7SCM3zw8wPufmaWc1Gdfk0yEVua2jqQ6zQOUTaNS2wK8uwciqJ2XIKkYPHxHQVzqZKNqGBcm5e7h4ra84zRs5xGxXWxhWzN/zsriK3mK/c+xfXXXPrPb3nzSx7tdPsHJ1rfeCTcNwR41D/I+ROfx/Mnt/RX979cmAUCP8DaOJUUspLhMhnoVemxKYNdVOVIprVJkwkVYJesh7J9JeyYNMmycq5i0I12M2nNdwpu5WoxAi/C9yNqXkijMcT3+3zkds2v/fEGDi/M4AU1NrUEM0HCRGBpBtBMO+zrgct21tKEkKtfSdKVwMmTxU5CL/TxlcKXNg8wKX2U7MLOajfC2KPuDdk0NWC132IQiXTcmosVPC9JbT6V2p0uqSYqgaurfHzrS3vccOUCv/onQz78hXmW4yb9wKPpSSa0q8EJNPiKvBlCZ0mfdOWTuVQpEkBlUqmKlTLQqazApsLqZW1ePWwuTQrpmlR+R2Cs4sTZDnfev+/l/VGyZXGpffChZ05yw5Xb/18yuE3YvOMlu/qrT76ve/YhGnWDtWHa5yhyJlKlegUzDvYskDRFfUMWPOYnAVGSJGJMmmTgtgWbZHNUygCXFpWOniiYO0lBHuNrJ0kCf0TgDTh2Pub9n2vy6a/OcuT8NBMNj5kaTAcJrcCmqfcM3DIFt8yTQrVUewe+u3AmmiM+da/m4PE6tXQCV94uRoHyfIyDdTo8ijWX74Q339DlD26dpdfQTKSzR4IwjRuUcck0lTlDGci90nflvosdc5Kf/Qd9rtl9ivd+doYj5yZZjuv0PU1TCRop0H1p3YWTukz56ped18w+xOnzItNp1/rkGTFlpRO5b77WUswTRZlUK5kMZe2dpK8laQY1tJrP3rOf511/5fve8m0veePCUucbSpWvC3Bre0CDuHvHNjt6YE/NO4NW9XzcWZKoNYU4WbllNg6tcElEDmiT/p4ts7cVOQsUrJDRtq3owPKIN5mPUnbgdq5Jxt4Jno5d546OCYIRvh7RTULe83GfD35uE6eXpjCqzsykYsa3TPqGRsrcjTx9L9M6lVSapN55Dm7fZS9HUcjBUwG9MGA6SF2cPPlFnugpJ3viRBJFmommZve2EBUM6YYtBr6gHllGGcB1kiZqlPOxZVYCvF7wqpif7PNjb+1zyyvO8cHPdXj/J2dZHDQZ6Bo1rWhoQV25+ns/7fZRUqTZTdLV0K7P5KwjV8YdFqASS2XgLRGZsZTAXcgSB+q0hS7tMIosDI3m3Ok2t371mT1SB9t+8Nuff+z0QszW+WeH8dcF+MmzC6Cm5u0o+Li3/CVvsmUYjCCKfQdylbjgMm0TU1amutzkzJ0ztsmYuwTsFPAFY4tnyVDakh1oc2BX5InMhgUlDuA6QasE34uo+SG+F9Iehtz7hOQjt0/wya/OMkxa+L7PrC+Y8g1N39IILA2/AHctkASBJEiliUsMpc5ECnDfc5nPo2ctdz/cIIw8gqZdE2BmtyKd7cggjBSep3n1DV0++qUe+081GdTcaIaRZ/Fj8CKDFxqUks63lgIpZDHch+J8JkYSG0kj0GycGvBvv6fPFTtGfPj2Fg/tnWRh0GSofDxPU9OCuoQgG7CU2avSunyCoATyas3KeHFWmdEzghp3xLLnZabOgJ4xepzZqFYQGhgZ1xeQJDEkIXfefaf3L7/v2o+bePl52nQW/sYMXqvPyy/df+jGD37ya5O7Gz7//gdXmZ1wQU8svbT/UWGkTFk8ky2yCu4xWZIfGbBTiVJm8Erhj+vRcUyep5RNXu7pdLdFq8QBXCW5HNE6ot2LuOcpwR/dOsHtj0yy3G4h6zVadcWUZ5nwDQ3P0vAtdZ+UtR1z1wNJzVfUfEHNJ63QMym4DYHn9LfSIw6cgtPtmkuspPq2mjgp6mdcH6QDeWwkYajZOCG4ZPuAJ0/E9COPUTrj2w9x4FPZZN0sUQNyrDMnD9JSGzJKXH34O1494PUvXOHLj3b50BcmeGjvBEvdBm3p0/M1vhL4UhBIXA+ndLvUKVFcpEpk0xHWMvia+pVxJi8RmmFMX1OVIpGB2EKYAtxY4/pCowGbpzr8zPctcvHkJyaT4XfcODd79a18neFBXxfg+w6fDRTJ7z345LnmnQszzE0N+cV/1Hcp+dgQS40yCcaokv6WWCPHgF1ib5Pp0BLASyekwgsVaWIrBfpOlphUcxuUTNxA/MzNkBEL3Zi7HtZ8/p4Wn7l7kgudJqJWw2t5TGiY9FwnT90jlR1Q90V6yLTkNNXdviDI2DsDuI7x/ZiaH2JtxB2PBBw/W2duRuBJk+pYUTT6ltguLz9NJcVg5LFzo+DV1/f59NdCepHHIBLUPNev6qeTpYpVSuV+NUJWZIo7ZNGoYJzfXg9GvOOVA157wxJ/+dUun7unwV1PtLjQbjAQPgNfoz2FFm6khyclnrCp1LIoREkaVu3Ddci84oIVzC3yADQDdGIdoN19yuDWYkzaoWUiMCOIh/zkLSv8o7dEDMNjzTjm98zg9BXA4G8E8IcfeYrF5T698ysMhoK9JzykTPD0CHBdIcaolLllujND+jgHtMwlibGy+iWA651cpyawElCWgC2ESe1AN8swkyO+jqjVIoajhP2n4dgZxce+OMmtD01wYaUJXg094dFQkpZnaWlD3bPUPah5Dtw1z80kdGWmsnSI9Oc2BbnJQe57rj3t8BnDk0cD8Lx0mbelFL2ooKAchLl6aUGcuHHOV+8eceW2HvtONxjUBI1YEESWkSK19kzK3pmbklmQhVbJffbUADBGpdMHPIahR70+4gffMOItN61y28M9/vxLDY6dqbHvdINwNSAONEOtkcpN9VWATu8zJs+lC0Xwv+aWuykFqA1pyW3+uDicZ571hhqwCZg4BXgENuKKnSGtlsGsrLByYS9WfP1ZKs8K8H77lBiOBv/8E3/x/rl/+OazPLgvoRFYhG/xgggVGqIwwSQKY1VJosicQYrAsjTCAZGCmtL9GLyzSD3XfC6p4SSJSXd5SAgCN0k1ThLOLcEXv6I5fKrOnQ/UOb1S5/CZJgQBqqGpaUVTW5raOBfBc4Pza54b1+ZAnB0yPVQKcFLNnYLbSwg8x97uwgo5ugB7jzXwZNUezCUKRT147ihkTopJ+xpjjyt3DrhkQ5+njsT0Y49WJBhp8GM3E1CVAC6lQEhZYXIoLf+lbLKrP0+bghOPkeczUQ/5/teNeOk1HU6vdLjjQZ8jJwNue6TBmaUaycDDSE3kK4SU6WYEritfkmY8IZct64G8EmhSzlJnbostAdoWwC4fYXqohP4IHnha8LWnFe3+gbm3vfVH/vmBw6fffemereuGb88K8MHyZ7E2fudrrjvUvOVlS+w7F/GZOxr87idaXHVRxNaZhIt3hvgITCgxVqVsUR7bIEtSJAW2LSRKxtbVd2bHZoXbtBwglSIqwQsSosRy5KTgySOKLz7Q4KmjPs8crdMZuSGPeD5qwiNQgoaChjbUSz5woLM6jaxs1tWFB6ks8X2F78v0ArCF9vYSl1n0nM6v+RHWhJxfloxsgNYSX1p0yWYbI/Ac5EnJcUpSP1ygmZ8JkWpIL/Loa+GcjqgoGNPKVDKQUpSi2KyyE5FLxay1LBuM5CUqHz/RH/lsmg7ZsTHi+ReNGIQD/uHRNk8d8/ni/TWePFrjyIkaUawgUFipQEgSWcoG5UmKdbRKRZxnPnB2b0r3Y4dJIDJoDHt2hWydiblyT8jpBcV7/3yCp05N05rsN89ED7xTa/3u/yUGf+Thj3FhdVVtaz0utm9cxnoRRx/SfOz2Ou1VxVTdsmNbxNWXRbzuhSNedV0INsbzLPUmqc6WYARx5ACfBZIVBi9f8tYBmnR+iactCIOQlii09IeO0Y+dkvzZ7QH9SPHYMzUOnQxY7PmMEh+0D8pDTSh8KagraChLTeHGmam08Eg51vY94ZIeZXB7Ej+VJYEPgU/qmriUuacNvhenGdGIei3kwkrCF+9r0e4GTE8KdOrFZ0Vf4tmYzZQCQiMZjRRzs4rX3zTktocGnGg3GXjSyRQNXmzxosyzTj12mTi7kPKsE5n/DWN16W84oPuJItGK2HNjH6LIc1aqF9H0I156dcyLrhjxtpcPOXBS8vhej0Go+PAXGxw957lZJgNNEqqsfBOrM4CPWUbl9G0F4IA1iMQiTCpNrKHeTPA8g7CGV10/4nU3DLnq8oid22KmapbVVcnjBwIe3JfQG4z4/L1HxE99z2716ds+Fb/t9bd8cwB3U1qn3vPY40vXChNxYqnGf/vTSc4u+iAEi304uhRw35OWj38pYX4mxhrL9ZeGvOM1w7SIHeYnDdddHdKsuS8TK/Ic2NrvXOTDedp9weNPaJY6knpN8sBej7/+ao1hpBhGirPnfIzQRNbDCA+0RgQaLSW+EtSkpZYCO1CWQLlWOl+nnq8umNvP+jJzcKu0R1Pk7O17Bt/PCrSSnL19P0KpkK88qvj011ooXzu7raK/n53BM/83STLHQzEcerzl5gGfubfDh++YpBfXaKY63Mt0eJQlZWzeLSSEzAHm/pQsaf0SwI1j8lg7Jve0ItYaHScO6CpBKTdIf7oWc/NlMTddFmHFiLe/ss8wcuPc/uqrAQ/u9akHgsWO4vGnfDp9maokwbOK8nznCdcaeN11EXNTiWuCSCzveM2A6y6JsAbmZwwzU24asRSOOOc2G379n62weTbh6IUuGzbG1162/Yr3IOyPfVMMfm6xw8bZ1sTP/ebHLvvonzXVhZUNGKnoGe38o/R9GwsjaznfNpxfdcvMgRMN/vor7kq0iWVy2nDjtSGtuqsDXjc9Wb7UU9dhtad46EmfTlshtXQzUax2zCQ0bi6wBqmRUuJJ4cAsLYE0+NIBwVfgq2JGnwO5KBoetGsEyBqPy+B2DJ+W1XoZgyelIybQEdaGnF70CUc1gkmJn6a9VVqVV8liCgryKlmneXe6UYSRx3RLsX0uxBdDBnHAIBbUtRuCmdWQZAktJcvlrTL/W+5vZMk2U2RPjUnLmwtpFMdJmjdQ6Vz2mChOUJHLJWiVIGXMtjmTrhiGK3YMCe0AqQ3ttuChJzWrfde2OC7I11gIaTFWs2Z40bURk9MGG7uVva7cuXPvXWFij8hWM9sbJg2/9ONdEttBiEj5rfOX1Tf82ISJVzpST399gB87vciZCyvv/urjZ155uOOBN+uAqdZLXWX6yX2M2BramaZSls6q5exXmqWPuB7Ay/ot/XKEwGRbLpDWnApVBDlSplZWBuo07SxJN27NfOPSvU476RXp1nvk4HZtXQo/BbevyUtMHYOnLK4Nfpod9byIIIg4uWj4k9uaoH03Y1GWEjwV8FWJLGPXbEholhlOEgfyd71+wF/eNeCZ8y16iUcjdpvSuirAYr6jUFlOoBzsZaWLmRSSpQKv7DB5LYzWCi9x81K8FOhKFkkzVzeePhYmHRyUoIVF2IS5huHbXmJw+5mm37HI9s9Y5zvPa4wEGIWJdB6nxZEkIovfHD4ysyL756Ioc9gEJkmIxKFXehNH3o2Nf+IbMvj7PvIlpBT+qZPn0X4AIk21U2oXKwN2jbYq3StL4pV/dz18Z+yWAbwavAgp8xY0JcATLq0cCFct6En3XEvSmoq0ezwrJNKU5qCQ7sxWdNUXAJe5bAl8m7e0+b4pDc6J8VL29nWElCHHzwkWOjWE1gSSijyR5Y9V+rrL0qECvNTpCGOP2YkROzcN2HduxCDRDBMIEoGXWLw41eExubNUpNBVpVMhi+2cdZt1VYmSNDLoxJAoidLZ9uUqLVZLkMqkK4UprNkU5CL727gpWULa3PXKgJ45YOXPnwG8SO4V9+NOW/l5zquI3MQwxmKjCwyiv/LXy/esZfDDJxACvGjAnG+Jka4egPKAnbFag+IvYysy5BvJEtKunFJhvRBIihRxPmZZWDyRgjaVANnj/LWU7ItSUPIGW18JB/YKuKW79zOgZ8FnCu6s+0ebXKJ42ulT34+IifjcvXXOL9TxJhV+uYaj7KAwpkjLqetSYVqW9BmO3ATbN724x71PDOnENfpaU48NYZpOV7IoiMoKzoQwFJ1D5ZxD2TpMZ6pYSJT7m9oIYiXQiUx3sXO1PHEK9CKZZvIEm5SmlHhLH8syuFObN98rxpb4vGouVACeXgBFErAo7SizeVb+ERu3iS+Dk+tirQLwP/ro7Uw06y/5yKfuukGR0PIgscZNIyoZ89YKkoyFKKZKZaY+fOONV3JBkiULBKjsXlg05FabSlPGbr5JoXGzWYfuXuSjEMrAzuegKFw/4noAzwLOTHfrTJbYVG9Xa8l9L8L3Qs61DY8cqoP20ak80aUCpfJk3ep3Kko+cLkvVeaeeBR5XH/xiNmpAe2VBv1Y0VDgxe6zqMQNUFJRGeA4kOd/SI5Vaoq0bzLNOitDYgSeESRKkihDogRxCvJy8VpWDiEzkJdAnZVMCEwK8hTQeSa6SNpVijEq9Str2ZwSniolHqWJW876BE/Xb5jd9pqXnD782nu27nnT+gCPopBe336bwFxn4pCa9kisJU7ruS1pl0W2DQaUlpG1rL42uKDITpYAnu/8QGkalSgG5Y+XcOqsNiKtAc9KPV1zcdap4mSJyrtXCmBnzbeOvVPNrcn1dmYJOsYuwO3l1YkRgojPfjXg3qdayEDjS+Hmb+cVhEUbXVHxN57NLBpGTD4DUJEYxWDocdNVA9780i7v/2yLMAnoJZJaYhnFpCtXuerPpHLOjF1Qz8bkYLRMeyFFDu5ESZQyjtGlTEdLmFIpcrkGyBYgr2SbMybPFumSTB0vW6CcEymTsChdnKJUuFUGeDomLkoQPtdF0fDbrInuWZfBnzl4mump1uv/+M+/+A9OnVmg5kssFmXTQSwZ48hybUF2ldniSiyhugzy8bqFMrgzAMgSKCRFzUN5tEHG3G4Lkuw5KYOTt2FVWDzthvFUFdxunMIYc6c9m37a3ubprOEgLh0RIRF/fscEiQ1QefayHGAWfY2Zs1HR4Iy16xnppkMlWbCpEXi841V9/vRzI1ZNxCCpMUgEXkzO4pWZ69KkduH4+ikprMlSt4wRJDod5aBSkGuLMk6uJMqiElfB6LLHMi9NLizKcnVnUcacN6XkQLf5F78W4OMvFHmSjAjyybf5hSry4r7EKIaDBYRd/gdbLnrDnaP+8duCxs4xBk9CknB4cTzs7Rn2uwS+n08tUsJWBlwWLF2eU7I+a4/fhCgxeUme5EAfK8/MtfiY5sxAX57toZQotHhacVcZdpMCWytROCm5Heg67l1jsk2ZuwgwdYm9Ay/kkUOSg2dqWOWhpMSXBj1ep1ES4OMuSnbknU6l5pDMUYlijz1bIq68qMfXDtSJlM8gFtQkeIlFxyKVb2kXTpzqcKSTC5U/KUosLkrSqBjlkc2E1Mqk4E7b2ZQtgTurBbJpmUDG5OSrhyiBG5FNzFqfvde7VQLRMYlFFgsap8GTVG6FnQGdTrhnZhhfHEfmtjUMfmZhmdXegDga0AgAaRFGOCdHlvvjClBnkqR8Er/B265IkxzwZaCXwK3ymu/Cdiski3Dd86IAtwsyRd4trnNwywrAy8N/XLc9ObDzbGXO3Am+dokd1xUUYYn4xB0NlpbqiEA73718EY7XoORXd4kIbDFNoFzHnXvTRhFFmrkZyXe/ussjhyYYJTX6yqeeOC2elbMqSQrubK0wqSeeVX84FmcMLJVWwvKoNSNRJluRbP642FY91eAy2+8okyayaI4YZ/CxppUi3be20K6CqVK9Uvbex/sLEiMYjDx6/ZBweIEoGub/fQ7wX/2ff+lqDPptlFJY3Bu3FmR2xVP9gsZHOXwj/s78/0KejN2XAV1m8cp4sYKxZZnBlSixeCZXJEpXAe7rdACQl20dmGY4tcXLU/EmfZxUDq1c584zx+Hjt7cYSR8lVZq9rF6I4xnMNcty/gUypsMzbamIE02QaL77dUP+6NY+TxypEymPvpT4iUndI4FMbOk8WddeJsrrqUn/VnXfojKTJwZ0biG60dYqLQlQiS2GdeZzWUR+Qcdjetx9n+ViOUpMnoH862Mlr1nKMFe2DcsXagp0rRVx7wkWj+5z81TKAH/84BmuvXhz41//h/+5+6mnlolsOhkKt1JkEb8qZeGyvz5mClbBXH4uxh+v1d7PLlGKabXj45BlibGzIDOb2qR1tslrqr3VGLiz9L2XNSYbNzMkbxHLejrj9IhQXsjB05pu6IPSqTyxY+Wx4xdu9YRUBxqNeeFpN06R+NE0PcFlW4c8cTAkMQED41NLXM22TjW4Ejbd7EuU3AtDFmQWTF4UwWUNvzofbOpeU8bNldSGtIPIIk0xISCbrpVk3f25AVAEl3ngOfZ9Z0hZ0zBRQKryoOqbl/T4GNiVNAxHgn68c/c1N/1UIx7+VF/XdjuA7zt8jpPn2q+bmJn76Xb3SWq+yFuhKn2S+WM7Jk3WR7ioPq28lgNAVoFQALvoY1QlVlSVoZoZyClqpFUJ1PnjNMmjSL1wB24H4GIokFeWJ2X2Vmlfpx+y3DX8//+ixdKghgg8J0+krawqxeCcr685K9MEsjkxOYM7RyWONRMNzU9+Z5cvPzLB0sgnlJqBlPhpD2Ux8iFl8HI9vTB5Ga3FpOA2WMp1+o7NdTqFKgvSM7ArKVIGd5IoyV0UcplS6PCinbCQKVngWViFlXNTWuXWBThFgieXxeVSa5GWKdg+s7MTP530H74njoZ/mTP4Aw8/QxD47D9wgiiOaNX9ytJa1tprnJJvXF5SuULXyJSKBhcFyOW4RKkOpsmBLQVSFePHVAnUWkp0Kkl0DvBMc5s8qPS0ycHt6az+osrenorw/ZCP3eHx9OE6SA8pJUFWGluyNvM94tMP+azVhBRsnu9UUZIpsZHpJk8eV+/p89aXdvijW2sYHTCQPoEUedJHSUFUCujGmVyUmbyy3JecCQXKulXBzbohn+3oWF1QjJUoZtEUk2ldH6eQVXmSOytlHIw9f1YSWIM3UTl/GaakFCRJQnflOJ6WxLHbGEIDXLRBUa9pBguS83WBp4pRv4jSP2arvTd2vTihfGWW3BL3o6ww364ZKFPxjPPAUhRsnjPkNwK4LACuSjXUOq1L8ciliKcKt8QrDQcqNLdjb0+7qVUrbcNffaXFYjuAWuqeiFIw9iwSBSGqTG6L87fGtst7WtNm7kQRxZrpCcW3v7LPZ+4dstQLCJVmkMjUnhSpeyOKZmxZsGUGbGuLrh+Ts3kxXEdnzopKH8v0uXR7KWXnvQxyIUWp+z4b4plKk4oeF2NyRVQBLizCrkW7zUFYYDHrArOl14WB4dDnwuoUsTdLEo8cwJ96+iBzszO77r7ngZ9aWDjPREO7Fc2ux9yisoSMe9zpr+Sv5ddI+csuAb16iPUlSpY4qQC7Ovu73OHihrtTBXe2s0HG3KrE3GsYPBs3UYyc0MplLo8eExw4XsMQIKTOm3OL6sFy/CBKrkbx4csJsYKJREmeiNzJyNvNEg1Wc/nOkD2bhyztq2MT37F44mSKLrk4BXuWC71SwZ2V0YJ7njempCuJLIbvlGMbZdxFY7K57/n3UpBRDm4j0lkqmSYXY1JFjOHB5k/WBuOiAqxxR6X4OcSJz4XzC8xsuPKnLr7i5scunD14TIdRQm8w3DSMktefO7/ERDNIgw9bcU3K92OrxprbuHMwPksjA3Q5lV15rdTLWDgTohRsFoB2DE46Crjsg5ePdEtrVQZ3CeTpfvVeWhqasbdKn2sdoVTE577W4uBiHfxCnngl67JywbJ2XMQadsrZs5qKNuXdzbIy2lBz0VzIm27q8+AzDTAeceK0uJek2d2kKpUK5iwvtSnIrS1JlJJckenjzBqW2eHOfZKuGFKkrG6yFdbmxFTeDKF4nLJ0qb0tT+eUwf1s52uNJi/sRJOvhIpksISW8etNMtwkRHJMe54DQSMQTDQkvs52MUtnlmTe9zrMvT66S8BO0fys9mB2Eqhq7UKmiLwMdBzYOZsrUWrCLYE7nU9YbNvBWmDrYkBQPuJNmxTksZMnKqLeCPnafsVffqXJYOhDQ6OlwBNVaTL+/suf+dm+s4r+HrMMy754FGsmW5q3vWLIrff2eWC/j216DJIAX5BfaCr/+4UOLq2lOcjLOQsXfKYXmHJsnkinx02JtbOg3qTBpTSipL9FKdCtxlB5QFmKC9xrYgzofMNboShENX5Jk1VhqOkOFGEkGYUC7VgrplEXzE56RIkgit2JyRMRY+b7OIN/I0twLcDHJUp1omkRXIocNPm8PFXavUGJtDalAHcB8qxs1qJ1MUJZp5swaVUFupeztTuUcgGm74dEYcKt9zV45kQDPA8hVQqqdG5IKbgUsvqljrtGOUnk3q6t+Ll5RjNr4i7ZhWGouWJHzBte3OPxY3VGsU8iPQZG4SeMvZfMC2eMwd29HXsvqAwsBqPcrHdrwUqBVSBtocfzFVWCNKVZhqZYNeQ4wMfjEsaA/7+S6cykSUq22Q4iYSRZaSuW25a5XsRgEKPvvvNWPK1YXuni+xob2rS2JItWbeXK+brkLcYfrx2/ux5zV0GdMXY5wCx2ICikSckqzBk7A3gxOTWXKClzO8a2OVPr/L547KXBpVYRgR/y1HHBbfc26A98aHpIkVUOUrIH18lilj5nmQqyWhT3DQmqg+THEj6lAqww8mi1Qt5w84jP3DXk8SMBaJ+hkfipFlfGbbBblgYiIZcHJGPOgCqcHK0opIt0bJ6tKlmQb6wDuzRFok2YspuSfuemYPbxHMcagI+BvkKaz+JA5UBPJxbH6daFFs3DjzzCU0/vw5oE/cz+RRACa+J8WKJjWPeGKxNe1yB6zOsugtqCtfM3LipX8LosLktgL2vuHOROb5ezmUqlFYZpRaFr50of6/J88DFwp4eXTaFNC/y1it2hIzwvIrYJn72nzt1P1aGmQbqGZq9UwlspjS0f5SfPxkTZQcroWVN56qhkkwoyoI+GHi+/us+bXtLn6eM14tjDCsVAaLyE/D2JpGDx4i2sz+TlIfZKZczt2Nw9F24zMVl2sxzITTnITBk8H9o5Bu5KwFkBeclVGQP1N9Ll5Yy6wLllNdUnkCFGWPQlO511trhsOXDM5putwjcOktbPRok1jF08Fvm/mwO81NZV3lmgAuyKVCmn6UuHGgO3Kh262AQ1A7RXAnXmnDjHxN0rFeF7EY8dk3z8jhbgg/QQQuVdRCrdSLWcdS07QtnJE/k5KVbGcnFaWUfmGtwKtyOGSivm8n3iNdZq3vGqAV+8b8hDh90kgcgo+olIC75S0CUZcEp1IGV0pHXpKCpAz36qUtAbme7nkwXFmfaWKZsLd59/h6Y0sFOWLv5KAqyQJOOD9tdIlfFNasdYNnPqtLIEPpxbSeiPnJ2pR6YNFlYHcGEZJhoilwrFP1FdN8Q6V5gYf17yOYvfKU1ZHdPdhVQRabKgsJ4ygOdz8sogT1vTis2m3M4OxQD8AtwV1i7dZ421mVRRKsbzYqIk5s4H6jx5qA6eB9IFl76wpcmx5cBKrAmsxuVJBh5bepA3QFRKQUvBZiIxKnVUEs0o9Lhqz5CX3+hYfJA4Fh8Jn6EBnYgi8Esyu9ABqpAo7g2sVzhnLfmep9IKV6JhXSAqrCvAk1YUUqUUVBbsnX6vpnzhl+a6r5MHyS9EMY6rAkvl01k+v1K6RN7sZEjIgKidlmZ86cEAIQXRKMZGYdqEmjGtqFxlxR/JghdReRNVHVU280Xlg+X21ZhjUt0jZqz+RJDvvZPvXpw131YaHoqtS5QaA3dpKH7unqgEpUsATyWKryMOnhV86NYWo8iDhpfKE/LWNFXeJTi/cIuVrKJXxm+2CvSyTClvDpAX9le0uKYZSH7gDX0+e3eT/afdxZcYRT9RrsowSZM/CMeASTqWY2wlyUsvSgCXttDiMtXo0lisdN+RlcIB3JRipYzJTTmWWmdlKwG6Auzy6r8G4GPaPLtYKP8NR2a+Z7jhMonSzgpVH3r/b21sBv5/O3zkxOW+Ji9QKidTCi2cAU5WdfE6WrnsU7tMW1lulH+WjQNO79PxwDlwx45sZELZ487vdaG7nYNSBXd5r56imCrd/UFHeTODp0MSGfJHf93gT2+bgiAAVUMpTUNZ6sqm4yjIG5y9UmtckUktJ6IkxWRYKgFqEUsUtmN20QpJ2vhb9EIqaRHWsH1TyOlFycNP+sTCTR4wQiGEK6VdL+6pLv8i1ySi/HwsgZIbDQXvVzu3SklBU6oXWfco/zelwDqbelZuPF4zRL/83yHS5E+x+ivpsptJopjZePOm+a2v+ZLef+DEVLfTeaMmIvB1UXZadjfkWObpWa+2KouL9EH5cZEAKLsnYzUoZdau1IHbivaWORgKSaJK2lvlOz2UNqJSdkySZJWCGXtHeDriwBnJR7/cwM1fceydd+5nf19QGS8sS5+7HGiK8pMcQGNfXLbhki0yiflGAVlW00pMokhUqsUTzfe8us+n72yw95QHMsQKyTDx0KT1Itm5TlJ4JlniJ4NqSTpZ99ziZmNl702moJIWpHWyJdPd0rq/YU3qj5s0QK2szlU2X1OLBJg1uCmkcTmnkBdqOQMKIV1MILDELr3GKIyY6nffKPWJKd0bDBmOwtSJyEpPZYm9x+yuMUny9UFfZpBSC1dZlpR1rKw+LgPcdZFk+rv0OANyVu2WafASuN1EVpPeOztQKYPK/G4Vo2SMSuVJomL++p4mew8W2lsK6bzvvIOGdb9Awfjzsoos9G7xuNqAXPHESxOptBGuNkUWKfww0lxx8Yi3vKTH4Y8GhIkCoUmEZiAEOkntO7JAN3NURIWP8xA41UvWCpRNEYSTJtbaVIunh7BFil+AkQ74JpMpJR+8DPbyilLEY2POW1nhlTCWy12yf9e6i09QFJCln88kETYZoTPPWadd53lBU7mvMP2HK7Ky9HzN1Tamu8sXQ/aljycC1m9uqLJ29jxj7QzsGXPnQFdlJi90t8qCyGyLE2nQshiar1SC50UcOav4n5+aYCg9sglaRdd8uoKUa6DLenKNkbv+Lbe38jS5o8vyLhhFoCnzWvEM3InRxIlHkMT8xC09/uLOBofPaFARGE0kPAZCoJLC0ZDlYHMM5Jk3bwGdXXDpa9K69LzFpqydeeKmwuY2/TtGCoQtVo+1ZkIK0PRtSPHs4M5ZvXRay9aySf34op7dyWGHOYGuecWYYF8790JJsc4bElUwrwkAxmqgxxI5+WPJGtarNDdkwB9j7SyRUgW3KSSKrDK4rvjbKZgrfnfpkI7FPR3SCQ3v/8wEpy8EoHRqDcpUntiK750/rpx0KqRQsb/WA3pZquSNB+UezSyFL/Mjb4aQiiTWbJ0f8SNv7fKrH/JpRy4gsFYyMsrZhkn2PiwkgkJhFyAv/t/9RKVXYTq/qbiXheMj044vK9IEUPbdpZahzRn8WQLO9MSYMqArMcNa0Jd/nq8Q1qXppXQ7bGMFg5HEDyXabUktaQQKz5PFFfUs4F7rloh131wZ4FmrUtUTXZ+5M2AXrF1Mac3ZOy24LwBdYnJtUkY3uTRxcsSUpErG2HF+r1WEDiI++dmA931igpHxnDwRKpcneVPxmCVW0d0ii0XKsF4f4tWG7VJGMwd9lrJ3ux1k2c08hW/cVuA1HfNjb+9x4LjPB//aaXFQJEIyNC7glAk5gxcFWNmXVaTuy3alA3UhWaxN2VwUhWKOdFypq60kfpyMyf5WhieTkRzjelywLnOvB/LSzyqEaSARgjiW9IcCbyDQMo3+fV+htVwDzuofKunJNVeUqP5hUX0TsLY2YW1hjh2TKLYUZKZbdJe3DFRl18GUpEoG5hKTy6I6MNfd+b2bNbi8An/x5QYrowzcDuCedNpbi6o8qaw6mV1WwnMO6xK+y1o7lyrpDypVfeNbL5qxOnEpUUZhjCZONJN+wi2v6fPpexosdRXICIwiwunx8erC6iX37Ezu8kBFUiirT8mCTZv17WaATn1yYxljbPd9IoRjeFIpk610Y4mfHG5rlMLYRWDWXghxAlGS9pl6KpvuJNFa5v9CJRAp/QMFZ1f/4RzAZdCPtaOtG5CV255ywJRGREhb0d6FlbY2qMyG0xTgTioBZhZkZvvc6BJ7e42Yz36lxgNP1jEl7e2aGjJ5Uq03yVuzyie9oserwdPaW8qeJeurvA12uRmiPM0psW5Hu8wXjxMPbWJedHXIm1/Y508+54MKQUisEIyMRgnhtiDJAk1RfL/jciWvILXOUcuYXclCRllZKhSTrgK1wtzWXfC2hAGTkVjG1jb7WcHw40CuArz4wfjPyr8fxRBF7l5n/2A2+enZqKf8kmCdN7De8jIG7PwikLbQrWOMLcQYe4sqsAsXJX2uLDodMSZl6phIm+rqkiTJHBNZkijSuSeBF3H4hORDn21xruu7/a6lG/SuBMWODWPxwhrdXXaN1mHv8Vsl0VNi9jVbLWYjEipd927/HHfvtj/Z2Ez4wTf3uOfJgMPnJYgIUBgkQyFLm0g5UGWgzm3M8gVX5vM8m5l+D2U2F+5xBuZMtuRgt6VVQ2YypSxdMkmXMvgYm5clcZEQGgP1GMLjOJVcArSb2SfwfTcrxBafi7GHa66UytVTZi7GAF06qeO6O1u68t/L66tLzK0ywI+BPJ+RPf44ybV3xuI6GwesYpRM0Kkt6PsRo8Tw+x+b4O5H6q5aR2qnvaV0XTuimL+Sv9dsZSl/9nWYvHzOyudrbQazcC2KPd7L5bPlMlrXbmYyRyVJd7yLNS9/fsiPvqPDf/p9n1Gc5q+NJE5dFZlGdO69paZaeYSDdQkTSu/PPS+P50u76y1YadMAU+QXgE3Z2tWnFE0P6T9TtQfXEOP6TRGZbF6PJMYfxLEhigxxbNBCOu870KC9asapkk7+ZgHO2P2afeWrmqzQseuwd2n/ebmePJE27/Z222abkkQpjf3NdHc64zoPLmWM58fc8ZDHp+9uMAo9qOtce+fsnQe2VI41zF1CcQ72CgNVv5lyYVNe31wBN1iVVRlWa8UTI5Hp5rsZ0ONYU2/E3PLyAbffPeCLDylnGyJBSCKhGVCSkhQBYM7WMvNYbOm9kVqEGajT9ylBpZ8ve25tVstkcxdFCsf0JpswK0SOi/VBPiZTYN1zaPMVplRLYyGOExJjMNai6zVDNDI06m7OXLHV9toCnArISzplDXNR0qay+ACyBPgyY1eCygzssuRYZPo330/dPc+1dz4JtQC2VmNAVwW4dQpu34tY7Vk+e0+D/WdrTpoIVxIrMu0tKE2QsmvAna9G+YUtSkD/OvqE0nl1w2fWSW0Xe4uuHQ5U1KhIqZAmQRpNNNJcuinizS/t8cBen3aYpl+N0+MhimwfCEnqjVfKaAsay2ZT5hekzObjiPRCyNg8kyppwkekNeQ50AtAC/IMe+GoZaFfes7W2025CnDLeJCexy4GRqOEwcgwGBp0q2ZIRoZGkM6MTmdjZOliFz2PSZcye5cAnTPXOsGlwOYVioXFVk2WFAFmAewC3JkPXgSXMh/MbiuMXQkos0RO2UWRrlPekPDHn6vzvk+1sEI737vC3hTaW67zvscCysqXVFnu1mfvSiUfY6DOmXxtK1uxL6nBJBIjnS+upCFKPKQy/Njb+hw64/G+T2uiuAC5QTASEmWyQRIpuMutbTmoM13hFoEc/sIWLWMZ0IUDssz+M5FKFVuMmMikh03BbjPZYYt+zrLOFiWSqOzFaVP2Tt9q3kNsITGWQWjoDw39kUEb48pjtHLhSFzq7DbZ0rMOg+d/+usFl6wnT8bGjJWlSsnjzpi9mImXet9jjonMwK3G5MnYnvUq3XvGafAIz484dE7y6Tub9Hoe1NVa9s5rvkuriygSPBU5NvY4C46+EYfbQgOU5ECmxauzsG3adJADvbyFunRaXEpNFCW0mjFve0WfW79a59DZNKngBlSTCMHArTXuPZoU3LYAu81BnY1oSJM/+YKTOSlZ6t6xt5vxLkrypAr0ajBexodwnaIVyVKsKqWHJfYukYBJp+QaiGPSzLBFa6+GVB5SpeBLXLJLCGear6fJS+qkEkzlmrsMdEp6Wxa/I0uAl2PBWzbMUZVYvJzYkaI8mD1zTkxluw1ZkiVSpo5JyuRax4wiw+33N/nyo3UXgEjPAXyMvbMiLyVENRhmvYQYOcLFN0J2ldCrQC8dxqTZw3zYpNuKxOluU8gUI0mERCUSIxTRSPOa60Je86IBJz/vMTJOh6eVUMRohgKkKW1blaUFRbH7tMq/6ULvKpmCPPstIQqyt+47tSINPCtALwFbFiCu4kYUWCq7KWMRen5hGdImeZs2HjvQ+55HrRagZ+e3rUbR8NbA977D2gQpJCTFcmRM+gGyizwDd1mSlMZyPVuAWdXfGZgpLV/FqIM1rJ0DvSgbrTonVf2t8vR7UnocI6Xr1JF+zF0P+fzaH06SWF04J1IhhHT7AIkiLV9l8LLjsz57fxNJzALZFAQynrIvyxVDNvUqLcYShaOSa3LpvHFhNHFs8P2En/mhDvtPae56UGJ8kULWfYDIKAaUBZUtyZJ1NHnuhVPMrky1eRZIWpteR4KckWXO6KXYLAtG1zRB2DFlUJxAIapKoihryJjbEicW7flMTrZuvWj39lX1llfP98LB+cO+Z35UEBbFPoi0mKDMzutlH8sVf0VxVNagMF4wVS6SKlLvmR1YpOLVeHVgKaDMC6qeBdxlqaIrCR3Xa3lqWfBrH5rknkebblMe6aclsR5aCuoSAkm6yZVdW7tdOdIG6HxITnUYUVbzLtVYw3RJ1xfPRemiH8vqlsmgNAdQjEu98s8szM3GBNrywBM+q4NSbUEaZmZTxIuKQ3JLbq0x980sS6Vi3JL0cpfP+NbtJYlDCby25CqNMzaMBeIFyKMY+iODVDVOnV78wfsffma/3rN1ASkFo9Bw9oLiworOP1rmDqwzUetZmZvxqzJ7DvnMulyaiLKLUt4WoypN5DqaO9thYN1DlQPLtBQ2fZz4CR/6zCR/+ZUmtqZAKIdOoRFSVvoti/7Gr9MxX2afce+0dLLGVtixktkqINzjarf9eIePSecH2pS5rTVFjYqQSKNIhEYOEm555YBnjni8+wOaMIhLdpfAGo8RaXdVll9PXLYmG4+WG4bCAU9JnJQhN4BcsCnSABLH5lJUF4Ts+7dk566Ek6R0TikkS35a10vIULoAUpAv9wTdjkWkmSn9ns/6JEYwUUu4ZAP4ShIn1aWgmjqtDjIflyNQlSNlzV3R37IkV8ZG8FbAnvndIgV4SXtXGFwmJSelDO4EWao9+eKDAX/4+SbDJJ2CLzJrMM1aClvR3uum5stAh8rFPC7TvhH72TS4y7znNRlN7JoSWitLmU1ZclaEcsGWTIuzpCExmsAz/NCbetz3uM8XH3V2YeaNIwXGakbGtaPlRSTj1mGK1FxKCYHCpqAugTxreihp7ux3sipDKUHY8YCzwEeGIYSo7OvE2Dkt/3dauZ3itm+KuPqKPhtnJWEE+tzZCYwRrOoEMUzYPKvy5bH4kko9h5V/eJ3XK0FmiaWzFUGOOScZwMv2YBncotjZS63R4abqgY+zt0yKAFNH9Efwy38wyZHTAVYXuyVXtHcmkSrAHgM064A5h3CZDcZRXgV5Ze4jY8sw5eKrsh5fW5tiZFpxKMssrhCJQQiNDA0XbY349/+4zX3/LqA7TD+Mkfn7StAMs/x2VtxtCpBbCZgU1JbcYVFpQGklaVcSRaeNKLS5KZ1Ha8skkSV8RH4BCDJ1XEoGpSjPz3N67QlRTPMKfMH8TI09cx5TE8rp8dfeuBmlFN1ul5XlJYah21JPY9NCmyprVRI5+Zf+LM9LwyDLM6MLiVIKMNeVKKbkg5f6ElM2z5m74pqUdudNPW+tI+IEfveTLR7dV3Oet8yYu3BOPFGVJUqsJ7fWlvwW7kmpmfpZF1Sx9qWSDCkaICiKmawrZlpTbSgcg+dBp5EO5InEiPRIUqliDNdfHvGT39XmNz82RZikLA55VJigGJlMi6dFJSWQ5xJFlLKcwm3Qa8tsnrN4SvyyqD/PwC0EOegrhkQafObMbakQ53hcCGnAm9ZSDYZw4sI0y4MWSZKgX/XqN1BvNDi4/xm+cscXSIxPYsiryMZdkPVqS8bZu9xpPj4MvVrLUd7AqCpLCsBX92cs2DspdHk5qVM50sCylvCl+wM++MkW7YHnPMDU8yZt0nXOSZG1LAfTqvK+1+rvglmqU6yK/dXGAD3G2mvwXgG6LTkrZdZOp8JmkqScBBLORkykQlrj6lVixUTN8MNv7/Pw0wG3f01BIyYvHEl1QWwkQ7KYogC5xZXGktuWzvNOY1VX1ptJGFOAN5MvZUbPQZxJlzLGymrBluRLBehpQqmCTzc6O4pCrrn2Oq6++mp6vR66P5JIT7HcsZxfTtiyobqiVjOM49p6HfYW4783nswp6e2xqF+VQF3Zrk4UO+w6gCdVv1s6K1Dm+6q7wFLKGKlj9h3T/M+PT3BoyXdt8Knf7e5lwd4lN6gC8vXkSUWajPWnrlUjVZWyxl0os3iRWMkbIVgvjT82JCgrxLIm31RWZFJFWITUyMiyZybmJ767y7FzmoOnBVaXBZYA6ZGkIGcM5Bmlqpw+U78bUhYXaRq+kBY5i9uC3XMipCRLREHOFQK1Yzo99dmRomiMzqSKFEzPKDbNaWanPGqehy5Olkt3ZrZUXsEnUmtvHNwV6VINKNcFdsXSshXAj28qqlIZUjB5SXcrkz4fT+YUQFcqQcoYP4g51xb88gcm+PQdDayninR8Kk3WY29VugDXOicFuNdL6pQZvZIRK/1OhbXHwJ69trYmpazDM0CXA9Cs88cxuBTZ4zT4TAwxBk86V6U9kvz0byjOrwoISki0AovOmbwsdp0MSe9T1lbS4SbLkViROSjudzKmzVk8m5si1jJ6Xp9iS48zrI0B3WZ1uZY8wWNMhqnSeJJaTdNo1M5NtrzbLt49R82PCbxitkgG7tyXzZm1GNdQfX284q/seZdlRqm8dey1whPPtHYJ3HKt5122BKV04PZ0TIjhr++t86UHG2mtSWYJypTBM/Yudg0uzxssuyVrymJLWrws5caZOwf/ejZXuRalDGgy5hZF4FZqI8sclLIed+OuZWUilst6qvQ19ziONcJKXvfCIW95cR9fxC63bUqHjbHWEFsYGhgZQWggMoLY4rZ2T3dmi9OxxXFlG8J0380kLfkw5Huu5s/LRyUTmf6uLX5e7Odp04O87sQN3rSEkaXbj4jtJL2hvE2q2rk4Uajf/u3f5h+8/abVVsOuNmuj7xsNLrju+nwQTTGEptwbWd70qEjclJM6pUrAcuFUuTOnlMypgrqsuYtiKinXMrdj6yJjKaWbc5JIw2furvOf3zvJ0XNB2sRQJHSQGiEFgYSadIPsdToGLpstXiRzitFwKmOIbKVL29Xc65J8WxVRHX7kphfIauImc+rGj4o0HMuejq0sLoATeSA3PpdbCltZVYQAjGVmIuGKi2NOXlAcPKFdwie/GourNXNAivEX478zfiWPX+Tpv7N20VrzuLjoqyxRnplYXe1Km2gZ6PRCNm7ejh9M/OvHnjhw/2te9TLX0TM/vYKnfcyww+pCzCj20vdclSbPLlPGHZJxiVKVJGXdXciTsT3QM5miCtdElqRIBdxpQJlZgp6XcHRR8sFPNdl/OICWyiWJS+w47Z1Jk7zPkhJoMgBVNGHpkNl3Op79W/t9F88LF2W9ZI9jbTOW8ClcFJln8qrpeynAGLfrcOaNi4zZ03oCIYybemUtidFEI8vleyJ+6JYuDz7pc2yhtFTlQaeTITGCoXDBJekIN2ts7qLYki7Pa1Sqqsel6yVkoydE/no12HQSZX2PvKzRrc06g4pVtTMwnFxM8M9HhKMYSFvWZuavxg9qrHQUo/g8eaFTfvXbyh8a38V2PWAXr5k1RVVCFqAvAs0Sc2daXJgC6Dl7FwVU5ccqY2+VsNwV/PafTnDno7WiSjDLWKbgVpJ0h+LyGOTic6oSmNezBdcD/rgF/s3e7BidVepSSiB3DoUDlElnA1pRAn8p0ymFdQAw7lwboVJASAQKIwxJ3/DK60b8s3d1+C9/MMXKIAN2KqiNSEGuiaXIHZQM5BgHZDLAp2SRvcdsz6v80k7SCyLLi6SvS1gzasK9Vlp90vryjCwqeJSuMXqi4XHtlTu5/vqrGfQHBcB1bRtec/vt+w4/9GuDsPnTzaCPpy3ldGn5vkjmrA0uq7Zg1eteL7gUZcbOGFwU8qQCcJWkPyv53WkaPmPvobT8/qdafOCTLbqJl2YrVcU1cbP7CuekUlRFcfLGs5cVpl4XzA5AldX5mwR3ZUZ4KaNZcVtKdmF541ZZGvkmSjaiMNKdX5tqVyERQiGEITEKYkvLi/jRt3c5v6T4nT+dYJBJD5OxORWQ26z4Lv18Ng0ydYo+a9KxEunv2pRA8sAyv0gLEsytQruW0UUOfluq5hUF0AFhAGXZONvAMyu/9pqbL7/9wNEz2SIEtdYOPvmR/9aPRstHpyYEjVpM4Jl8yw9V0s85CFV6jAWXhZ1nSkHo2uBSyjR5U24tE4XOLkuSTGMX4Hbed5m5pYzBMzxz2OPPbm/QidLJmGTAznxviSCVJvlhC10riy9ElE8i1ddy2SHWvl7JuH0TSC/a1cYswyzQtMVelsVFUGpKzns3ZfV5PmpCpNahytvbjFVYo4gjRUtbvvd1Pa64ZIRMikATk5TuE6yxxBZGFhd0WkFkILYuyHTHeMCZPrfrBZjZ7s6lQLKkqcePJH/dXbBxYokSyyiy9IeGUSw5e3bx6E///H/tX3bR1gLgAK989Wt57evfzHXXbGZuqk29FuPrUlmqKgWJyuaZvnEXpALkksYed0wyQBdgLsuQ6qHUmCRZJxWvvYSnj3j85K9O8+TBAOvJQpbkDC5LtqDNB/mM79SwnjW4nkypJHZKgVix5H2TcsVWH1Z98XG7sNiCu7KJa6lvMx8YZGXuj9vSZCxjVDr+TZFYjQkV114c8Z6fXuWqPSM3VCQDeX5EKdgtsYFh6rCEJgV56rAkFpIS4J0rInJ3JHdISk5J7gKVL4QyyEsXx7gDE8YwDOH0UsLslku45bu+kze9+S35+cwBHjRa+PVJao2EVqNL4MUpuxZauexXj9ds5w0JYxnHKtBTsKqC4YvA0RTAL7N6BuTM+1YFsGWa0NGeoWslv/epJo/tDUhUibVFUW8CJVuwAupyRWPByuNzB9eMhaiAvaoPvxnytmPALiM835O9xOprmb0sWYq5hqYEdFuahGXHJmM5C9HtHCESyfVXjPgnb+vRkombnrMOi7vD2XNhyuaREUS2YO84Bbk71rJ1mckrYE8vBFMG+dc5sn9rGAuWhhbV8Ni6eYpNGyfz86qzB8fON9HexKGTpzYeVt0Ne3yZpF9Y+qWn5WD5UlypKSk09nruSSVjmQWR5fqTVHOLUsaynMyR48GlSFDpob2EvoEPfrrJx7/UZJSBeYy5Ec6iywuqnoW9y973GsYuxSLVZE6hCdci+xvJk3H2LspTx3W4gXyUcdUbzwBvMUYghHS6O92RQaQ1KsJKF7hZ6x4b6zS5tSSJxReW735Nn73HNR/8VItehDthqQ7P79MGtsTIoiczC35l2pSRnltXq2Ix6XnOZxumwaHN8jX5eRdFz6atfh/jlTwZQRhjuGJXkxdfXTu8bbN3aNP0aC2DX3PpduLl+2/bOrv5w8jddPsyDySygFKKKmNXAWpKEqUY1F7V6mszlDLX01X9PS5VyuDO2VvHdEP4wF82+a8fmODCkpfXdpdrTdwhSuxt12Qr18xsKTkqWcS/bsp+jLUrPxNfH9wZqsuFVvlrlaciZfRxti6l7DPGpipZys5KVZerylaFbgScYtOs4ef/cZt/9LYurSCGJGPwTJenUsUmYA3GOD2eJYSicS2eMrMps7nNtiwfky25DClG163R5eXzlZ7rmk64YvsGlJ3/8Mf/4oHbvPrutQwOYKwHov45T4u3Cl9fB4YkNR/HLcJqdWDB3kUzccHcFSbP679LYBfGMXzJMckCyvXAnfVXyprlLz/X4FfeP8G5ZQ98tQ57VzOWnih1EYmxfXYoAXqcuUs+dyUdX+JpMf7i/+KtnNEswC/yF9ZP3Tvnwk2VEm4bbVEAW9jCExciY23Se5lavY7FMZootGyeTvj5H+6w1JF8+LMtqGUMLsaYPHubkogSk+d144WT4shE5LFbeYaKTUtuM5clsw2RWclX4Z1nJzt7aIxFKQ8j1GPT0/XPdbrVcyrLT573glcRLn/snkb9wkONegiYnBmgBIQSyFWZuUuOSaWnUowHjNUtOXIQVyzAZwe3lAkqMBw6pfmTzzY5u+AX4BZjh3QDRbUonBOdJibGO3XKjdA5mLNlsfIkZecx/f1NqpIczF/35yXvu8xa63rkZGw97qqUA88i4MxT9yUWT4xK9boiDiWb5xLe9W199mwPIcy0d8bkSSmt75jc2sJhGRlBaCFKj8xlydg7d13K2tuKSvBY1uFF7U2JudPvKrHQt4qTK8OH/tsf3HbPt3/b6yrnUY+f2C88dQkIwWj5MJdtGjLdAq1Nqr+LpIyoaOtSlw5V1i6kjSmxd1mbm1yDOyBnjF5o7wpzywTlGw6f0fyH90xxx8M110BZ8bqr0kQL8jEQWq7V2usN86n8jix88WerJMzopXJhjP++YF2XJLsqynvhrBnpliV6LDl7Ow/c5v63fJaiLIEDkDAyTRLJdCqryb1yYS2JVWBw+dSh5dUvGPJLP9nmF94zyZGzPnjpuzOZaV1mc4VFEKcvmdTr9lJ2Vql3rozNC7KyFjcliiKtUoOc+2cNRdCfneC0cEtL2NSCl9ygufnGWYyx/NUHq3heA/C3vu7NKKnCO774GXqDA0w0EjRZ3cTa7GORsKEkO9KTV/l5FezutSKoLP7bzO82ax/LBOUZjl3Q/Mffm+TjtzcIRbobVc7YZZC7kkotynXe62y/PV4CXPa3x71vqr9TtgO/LnFXoqN12Nym3914oQakFX6loZhjdeJkoK9kNotGCGmcNjeiSP64TGgKeFNqQ0wlS2ygpmPe8do+iYFf+N1Jjl8IUpALBx2TpCC3aTbGEY0RglC468BIgcaiswuX0ozxDOhpZtOB2iE46+MsmibclJmZUwAALEhJREFU3xUpCSjrZGYjkGyYvYjnX/+2MEkS4F98fYBfsWsO6Tf/XX9xx5Vnjh57pSc76HyK1NrSVjnGyuVgVOTuSJm1S0wuy6AumFsJg5DVrKUrojIcX9D8zO9M8skvNghluvWaWO8oZyyplsHC+tKEsWCzhNxx/7sC6nHa/hvc1hQglTOa44xuC8bPJIywVdswe02UtLgp6fPMK3d13hnAHbizhuI4tng64XvfMEAr+NnfmeL4Bd/tFS5Lbza/ZaOB3FC4GNLmB1ewZfLcg8DgOF8CKkvtl0EvUu2d/dO5kyNAOi/ehpbI1PEaO7/SnNz+75aWwzXnVY6/oIIWxw7c2pmd1vs3zEXJZHNI4CUVcGcALVLpRcCYjXCopN4rrojNEzcqCyTXA3d5YI+MkSrhzLLk5393kk/evg6419iCrnbBk469sxFsqmRtVmxOqpV8MC5FxvzvdcnZVkH/v4Du8QBz3BcvXnTgKOvtvKuc6hD9bK5hRbKYbHvwbFpWkQDKJtbaNNPpymslOoHvfu2A//yTbTbPRoU3bqOSDi8fJtXlzlEZmdQvt6LQ5aYouy0ei9xVcY5L6raMuSiJEYxiwepA0B55iZXB/j/989s6c7PBNwZ49t20Oys/ue+UfULkE6HW2oDlhE/eJrZOul2VQK5y8I6/luQd8Cp3SrKueEPiCd7/mRYf/0KDUJUBrcfuS+AWazOW6weVGZgLgK43HqLsf6+nr4sdocX/Kr6r2cw1SZ2q711OAOWWIGNALluIY4c145nNasZzPKVvEolOLO94Q58ffmsPnaTbJ5QDz1IteW4jGpcUMhai1EocGuGyn3kQWg06y7XmlSTRWIInjsEquOkF9onhqP2Tz3Zu1wX4rsvexJ2PREknep5d7jRd+1POdmvLWpVam5WsPC513ZRLXgs7sJSxLB/CgRstuO2eOh+9rcFIqpRqy4Au3VNIk2JfnRKgsaWGBpsHL5X9dsQYyEsXfllrlwGd/cKaMtlvBtylX6zIlBKrr3FNyHzx8d9LEy15Gr/kkY8Fn8W9rGQ4bZ7OT9ncOJAHxvLO1/d57YsHiMy0zkCeHRWwj7G5LbKfRRMFpXoWsYbNC1CLvBbF4kpENk1Jvv0Vl9kXXdVLvv973rDu+dXPduK//+2vI44GH937yPHLbHyqKfKu9jFwl7V05mfnfrcpBZhjjzNXRRQgF6LQ3VIkKG0QGv7q7hr/7nemeOZIkDYMl4E9fhTSRK0JLKuJnOo4CMt4BjMDcdlxGdctldT9GKi/IbjH0phr5UnJA6ccWI554lkHe6VB2VbuTUWPAyb1wBEY1zKROyxYENZijHIhn3DPbQLX7In4H/+yzb9V8Nm7G052q6/3SXM/BKwLdCPh5l8mCBLcBAedmjMq09/S5tqcdEycSfW3MG7B3jQ332tMv/qjzUb9Wf+6fLYfTM9usYPVR397246LFj0vXBNAVj3tZ5ssZdawemXMQ8nvFuL/ae/L4+yo6ny/59Ry99tLutOd7iTdSSedBRJkDYuEUQkgiDKKgvNR+OgoI4uj6Dgj854j4jgD+hlFHeUxPnFGxnmK5skDAQFBhh2JguwJ2SF70nvfpZZz3h/nnKpz6lYvCQkBZs7ncz+3blXduvfW/davvuf72zTeTUQRH2IDtz2Uwxf/uYwXN0twN2jdJjUhVHoroXVmUPwbSVBPQjfSVBU0PvSR1MMn1br5JOsTMSpKKdFfJ/m64bIHDC+m0QZFW8d17s31OBWtRDOnstOytOQexZIeH9ddMYL3nFoRBJolObjG0bmmm2uaeah5QGuMSO1c088jT2jsEY2sOQdqdY5Fixfte+DR577T29M54ame0IIDwIyOJfDqwxje8wTCYFxLSYsDokzPo2nBTautv5b7Ip6kQlGViJYAtz2cw99+r4znN7hC607xUJrUJHbo2CmcO245xxMcexKw65hNSIgpwYMa2qfPw5OlqSNrrW2P41KEVY88hYY1jzVxTtKsueDZRGbe6yoLOBWWXcapMFmqiqjZqxYlA4/jyHk+/uHyEXAO3BFZcv0yZ4hUFQ7IoG3xQgaicFABXAIEBLAZ4BASqS0qwRlUlpWj4reFnKG5XMTblvejrbWMyQadbGMm31UnsD5VLM8Zt2goNVKebq212G4zIUErpRbxa52WCNXEkpabUMG573w0h6u+W8bzmybwUiJhvWVepJsEd2S145S0NI7dOGFMgDkJdpiJD+oKMF9ODXE94UFhQd9mZvuoPjlmL8uYoyterj+Q4OKalMh0a04SVtyKIxE5BecyvFZNPj1g2Twf1316BO8+pSKsOGMaDw+1iWaa91NtE/xcWfQqA6qMiMmotOSKoysL7gXAwr7Z47ZFP9XX21mf7PxOasEDf5AVmuc/adlsZOvzzxeqdQrHUcXkQ4N+NFjohOU2n5UeLh08mkOHWRS/fjyLL3y7jBcjcGuWOgK0zsUF79YdOnq0YLK+YNJr2VDmWSI0qncSgZ0YF4OCcgT4iXhLYl2ChWgbSGSuk6G05qRT4+PaxSCssiixoPI4SWTldSsOEFXjUHJxecmDUFFvmyidXH4w4cJAMBY7g+CFOKLXxzf+cgScE9z7WBYhpNMH0vITxcGl9RZ5b/HdV6UFEUGZQqmZB0T8npAArvyRFhHNfhmx8MH3rRxZtrT3yV17htkBA9zNzQSQ21v32PlW8eQHwvHHHKcQwrEDQwMnGlWJgS6XpdWHAju0ySXVQG5xMEpx/5oMPvfNMtZu1cEtKEhMSWxxwmRCHonALX5Q2oQyVSEBDEuuAEkMkJvv08Ga3E/H9P4OnnhE67WVSQen2s65LLgjCwOak01IuiKtuSx4rxKTk3UPY27OZe1CDgIKBkERKDg4t2R7GwAew9IeH9+6chhXBMADa7IIlRtffVvORZwvVJcJlQdHYpBrgOegCDgFI4BPgABEXDigcIiH88462gcPzu9sa9pbKuYnPa+TUhRC8hjatxWZ/JJtxealG3MFinx2FBnHg237st62LI9m+dojzpOkVkL20wKmCAmkFCjiiO/9XQaf/kYT1m1xEZWZMmhJworLIBFlvR1pnVOL92AK640kZWksu5YKaB34E8gn05YKk4BXHksk+XYMRiR4OJNUJaYl8eQzcgIhISNGk029XQo1JqIiOULTzxVVCSm4R9A/18c//9Uw3nVCDRbTJp5KSmQpwVpR+K0PMA8IPfFaps0xxuAxjkoIDPnA7kqIXEsBpxy/eOPxR87ftm79FhRz7oEDXPypFm6587YtD/xx9JPrB/owVhtCLluXoJZdgm0ftu3HReYtH5bli16UJIgSg60oQTgOhSUuwGyC+9Zk8dl/asK6V1zwiSIDdUtONUlQU01sA9yNQVQTqSTJTB0gZX0C5I3g5TFh0WTGKYGdVE601zoFUZ8gZ23ihs+QmIzq1ji+GJKFO2OQU0NdMUCczBCCngpnxVlBnILXCfrn+Lj+c8N4x/E10JAJOURXVliKZs59AWrmA1yBvC4fHsBCMBYi9AIU3b24/MPtOPaI3Z/cufvWLbZlYaphT7VD84zZ2Ll3DNlcYcfWjeQhb2TNqZSMgVLbmDg6tlA/GOOirJb2J4tlaYckbQEBqEuwdcDGY0+5uPrGEtZtccHdJN9Ohr9a0a2MyB/gaNZbjwI0gW5mx1P5naaSCiMUa97MtKKa+sWRZsinY8Ujj6Y8ENf4eCSJJzg4iE5FJNdW/TWh0RKi7go8duFT0+VPeFyPHDJ+nDFxI1UF5qMfoseiMBlJGgCLe3x85/Mj+PKNHE88ncHWfbb4g+JIb0T12wD5peVv5kQI5JSKBrbEEhye2kAQYmF3GX29yx+a1XXWjlldwyCkeUqAT2nBAaCzrYgm3LN+WX/5O/N6T8bouCgH5tgBCsUacqUaqr6PHQMMjAZwyz7cXBAV5qE0jOJLiORnNEuwbruDa75Xwl9+vQlrt+rg1tGmc2+dnkhaQjXVBGa0oJ7IoFvvBodO0iqnWfu0OBMtJtyAMTdfTgpsfd8Unp2kL4a11rlztE5dKGYWPtOWdRd+FKtixKRIa51UWaR151IbVxQmro1IwD1g0Vwf3/3rYXzpihEs7PaFPMJZozVnoaAj9QAYDZDhHrpnVFHKVEFG68C4J7YDgEWwsP9k7Bye9Z0frH5i/XTADUzDgqsRkKWwraYnAzu4lWT2nZexf4964OHeRyjGfBtrnnGxebOFFcd76OkO0dcZ4Oh+H47Nhd7PY9NGM8D6bTauuaGE1ffmUAupjOlOs97aemry7ih5IWmxkQC2rpJMsM506sT8I7bwjcQ6tuJTzTKng/TG6yO+CJKeSURtZSJgS3ECEYCVmiKNpIzPFsKGlu5GuFRUZLit7B4hovaEDi6iDsXpZ8rLCapdTYi2c8ZBAo6O1hAfObuKjAN85XslbNhmCzlEv3IDAsfhOGqphwWdAXq6Q6w4zsOmzRZ+/4yLMc/Bb58tY7Ri4x0nLcQ5Kxff+o4Vi57cOzAyXdhOH+BOfg5Gh17dkmk+7TPVoUesXcPuuT+8k+CWu8uo+RQDYwT1KvDb5wIUHIauDh8LenycuaKOD767ioIlKBd1gA2v2rj6hiJW/yaLGoiobhpZa13nTlATiQAKRF2ILWi8W6uXqFtfwxpTmDREf5ZA1ov/pAZYAaYlh3mcaQ+OCS4GbljltDgVA9yEaOu4YamNOBYG2Vs+4itCDiQ8ogokoi+y7w+nguhHqouUFpUYov4Q7fZDeQhW58jYDOefXgU4cPUNRWzcZgMOBwKCvM3xwXNrOHNFDX1zfczuCFGwgXIJqB9FMfAuD1Wf4Cd31vB//jOH2V2l2y88Z8VnNm3etvWIvtkHH+AAUGqejfsfvn9rNrvyuZt+Ujn3P+5/FZUgL5EbAPkQw/UQw5UQ24dtrHnJxQNrMlj7io0Pr6phWb+PzTstfPn7Rfzi3izqkGkZkU6qZUVG3EHJR7H1tkiseUediDWrbtIQnsKvE8pJArxIAXdSNkmqKwY+91MoTAZYxZwUkmPHOylvptK2I2qTfMjEB92KCwqd1MVh8HEme/XEgVsUhKp4FhopfJSrbsdUel2JRm0oKBX+9ZzN8aEzagABvvTdIrbssLCs38eHz6jiY+dW0dkaACHAuChfURsXEnBznqLELHzibA/nrcrDbV/63Esb7tu6ZMHp+3Vu9wvgADDs9aI8s/u6GZ3b5y/twQXrd45gNHQRqopIVM2KATBg5yDw3R8X8OgfHVx/5Si++ZMCfn5vFh5k7YYIxLoFT5MDNd5N4hgfIzsH6XmWEfeWgFagbIg3QSPIIwqSXKdz+MQ4kJwHI9E4stgK5aY1j932SgPnEa+OAM15ZNmjfSOQ61xccwbJ2oOxhScyYUe48RljEvwS2Ignn+IikPiXk13COVjA4VoMF6yqgTPgW/+Rx/VXjuK4o3zkwcB8giCwEYYOAmbLgkQ2fN9Bte4ixEzM7Xrbz5pnL70O2Lbf53Vak0x9/Ok75+Pxx387fMJx8z/ePSP38IycBZcSEMsBrAxgZQXJpg5iER9Y0hvg6Zcc3H5vBh6IlmA30YM2gDtOP4sTh0lSKdHAS5X1pjHYAW6A3sCv7qlMgNhYl5RLUkZSZZkc3YlnfZVOVTRgJvdRnxbdARSoJY1g2uuYwuilJkjj+gnCa4065DINR002zVAB8WU4A1xwvG9VDUctDvDCJjvKpBYJzzaC0IEfuPB8F77vIAhs1P0can7zw6F1xMe3b3xkmJDlhx7gAHDFRWchB7/yiT97x/O9Xa4fch+UABmbwrEdECsDEBsICAoWw8XnVXDtZWM45+11fOCcGlRmSrpaEmfDR9RE/nm6p1KUjYOmnmgSIUxZUHFqkNiCG+BNgFrfblrtRKyJBmTTfZ/YYRJc80k2mkFYxLTyPAH2RExKMoYc0vmjnnVnkapBEgM4ToxgBmCVgqItc10bl41lufBGctk8U8nCP78jh7seyuCq7xXxr/8vj3FGQG3hGfUDF3UvA893hZIDDyPVZrTO+YDnhdlKd997DwSqBwZwAHAcGy5de/kVH5m7tmtGiCw42h2GGS7gWhbACRZ0erjk/aO45pMjaC6EmNkW4LIPVbBwruBdhrWOLLZCik5XYlCbjhzNeoMnuHeaJJiIOZlospkG+gYunqAvcqcknknKkgJkGth5AvWRRdaBndjfzLgnMchhFu5s5OpmSpsB5hTQJy2+SIiIgR6DnhpeVmIBa7dauOGWPHbvtTA87uDLN5Zx4+oiNuwSoRZe4KJSy6FayyIMKcY9ih2146tusf932WL/gcJ0/zm4Gqv+5ARwPsAHR6q3L76tsiAY2ZztLKm4Yo7588bx5YsHcNqyOlwHCH0Rj72gO8C5J9fxzY2umFEDCVCbQVTK6qpi9ZSklVvTODgQZfZHuZYEk3sxIelJChefyKkzqYU+AA7eEAOuvYicPPpxVdis8VlyXao15yKxwYiD4nF8l5IgoXi9drEwYZGZ6g3IqJhoEib5OY8mm+Ais19NhAkBYHP86pEM1m+zZa8YC/vGHfyP/+Xi3ker+JuPepg3M4OBoRI4gGKOo7Wjr3bU3DOvH63R/zmvq/D6A1yAoJV94Z9uvXrR3G6/ldS+ODa0y3VsCwvmhrjwjAArl9kAKDxPJA4TKsoylwvKv6wQRbRlM9KMIPZW2iSua6KHv05ZCRaxmgKYgVaGDIj4fQZYJ5iA6uuN/Xly5eTA5uqnJ0CcBHVsteXEUn6gHlkY5UakTEAtVWM74fTh0DLz5ecKZ7SIHY89oiLyUFWlimNcNAlRxpsTYp644QpF3VcVf0ULmTpzcM/TzeBWHR/5kyxcuwSbhpg9u8vrzHR8vdW942uZ9o9PGi14SAEOAP2tvpef03btrnLF276teg2FTxfOtdDT1oSBQYJspgrXqQM2gcU4GA8R+IgKukSSoD6hRGy9Vck1C7EMqIfBqlQzvTpso0s+nX5A2yfJvaNk4zTQa1iedPlALLkakWJCYjkwbTeeAL2iFQSwlKtft8byQoqdPhBpYZJyiA6u8klp5qICvqaosNidT7XoQx47hoiUIVUPQccBqLo7UxuwsiBuFkWbYsfOLO5/0kJPJ0Vrc4E1d/RcM+bP+eYrm0a96Z6uicYBc3A1PvmxD6KrzaqeeNySW09ecTRvawZaSgy+b6PmOfADG2Go5B+KjAUsnh9gZmcogn51q63zcBBTNaGaOx6xpda7MuhFMnWgI6Gm6AkMRjoaQboFB+RkSe0bKyg6mF8Lng3QwqQo0boGtzxJcHHxRaLXMHVzo3ClthwlQjR8RjKMNubkeoYQ42k8XCxTm2DXLooXNtioMRUkJ1o52paFsgtkLWBwOMTufT5mzVnG802Lbt3wKq2+7YT3v+Zz+ZotOAB0d89Bqdz+crGYu6y92bvBG3mU5rJ1WJRFJyRkFDanCENg9yDBwLiugyeVFC3GG2aZY8Mdr00s9diTyBinTSgT23T+bdARoMHa6yBOtdJp2w8A2ETTu/X1xo5Ef0PMb7h07ogEAqmFc1WOOFZdRNm3+O26u18oJUwu8yjUFpBeTVV/igKcx/+xSnUjOn0JCVryDDNbBL30NfGAQKR0jtaBoQpw+rJjWO+8+ZctXtj38vaduw4GNF+7BQeA/kWLALbP61t+zA97u6uf7+u10FIaRMbxIHqrSMkIImF0aMRCUNEzdaQnM7LisWLiUDOQKrLayehBmJGEcYe0BPdOgN1IdEAC0NogiQtHPBPjdeOYanvK4BO81C03TNDz5DYjdsW0zCwhKzLdskN/nZQMEwrKhJIiNR6MEbh5jpamUNqz2JCFAIYDgk1DDBW3Da+OOJ8//rhjf7h1xx5v8eLFBwOaBwfgADCreyGy/tZw9qI/3ZBvO210oOLCD0XX85ApgIuTEYRJJ47uvRTUxNHAHbVKSUwkG9LQoAF4ArVEwS6mL2Zamh7HrVvxOEJwGrIJSVmbnDwmAJyUDc2NiWe1rAHTkACRIh1Gn5Nw4iDxrEuGTMmFpIGiGEWEWJx9z5kpKzIm0t4c1T0DBKLDtPCOEtSwfBHHJR9eMfqpj5674bn1u8Ijlxy4LJgcBw3gAEDtPG77be32weD0y18avHBgw84uVGs2/MAB46LDwvptFu5ZkxFxrg2RgySiJnqbEcuIGIzpiJiLpsSaQL2OPZt0IrCn8O4k/dAchSlWPF5PuPHuAxrpONecPBp34XIbuHLrx9tTnT4pXDy1zooBfi3TR4XERqGziYZXWpkJ1QeIcwvwKM44ro4Fs32AiztfzgLKNMQZR2Xw46+cOvDx84+5vHfWltvLpdyU52h/xkHh4NGpp+0AgO27h29eefLZdn0gf93Y7nvaGd+BYq4Kn4f4zRMZPLUuC9iyZ7xe7hiyIhVNJg+b4BZdhVOK90xCQdK4cxLcDXcApB93QgwfpFlmZHklNyYksR4CiIQoEm3uH6uUiocDqkKt4uLRexL0BohjSlTBe8ooGOWIsh8Yk08Uqowy4XpCsjhwyCwQwuF5IY7u9/HOFeNY90oBdQYULYals0v40Nkr9yxecvLfIPRvJvaRBxOOAA6yBVeja2YT2sv+j+bMW3lVpnT0HkoIqOXhqc0UN9/ThJApgJuljvXmrGnpZ0bDWYknI3lYf05EDOpz2fh48ZuNxIeEuZ6IakzKVvYD7MnSERNrguZiY5xKkodDADuhkgBabEqq1SaGtWeJ/SLKwhJcXBYMimsbUoSMwg8cADY+uqqCo+eNgYQeKAFOP2XJnnNWnXrVwCB+ROwZhwKKmDqp7QDHV//+Wlx84QlPUcvZ4wc7V970q8HcTbfPwBPrmwDHRdT9TPbSsWTOQ4ZwQU9okpqoIvuN6WiEaGGyqjhRA5g1S08FuNMmqGI7Me8M8rV6X2zRVVm3uAh+vH2y5QnuOolHWt0WILFOrhCvSeq8Ql0vVK6MLmLNOESr1PvV+sRnidTDeKNuEJLxOIIiiiOFgY22MsHCeR5mNFWRKSwYWL5w7hdeXLvpR6eedNShguFBk24nHHt2veCMVurPXvq1Oxf95sFXQHIOAqVJSQ5OKUGGAlm6/+Bu6Nag2kTr22njvpSSxgsgqnxFjPcRQrTSygr8RDuuPBYl8XEpaVivf67qERQdQ3/W6ZdejSvah8cXs7qrUS0+h2r7ROX25NxFvUfvtEEBs+uG1kHP2C/RrSOlx1JcVTiELSsFE1m2ImQ2bCuAb80dXf3EEZ/aN5b96Zcuu+Q1eSqnGgeVg6eNUuuSwMoHf76w9+V5Wdg/uP8Pr2RHQ3njkJbNleB2qZaGlgAzIemWe1IXferEU5P3oFmpiI6QBp6tW4H9tgiTvIFPvrlxwql4NuJWH9FxtIMp2kLUstLE1TGg0Rq5TWwicatCxchVJCKgFaEXXSJEuIBsIBUdOP5FjLKIAzNGMTruILSPrs1sb/vEpe/PrA6qPvvShIWPD844ZBRFjb//6lfQ3rX0lZWLSs8P1OgLnDjvfXXrbptwH5xYsC0LOcqRsbTe8VRTTygaLbkGXNNKJ1oBYgLrrdGE2EJqVMTYv5GSpC5H9IXIY+4fRUkNKZjogtXmC/FFqsiAoh6kcX9CEpRG/EcG0SBpr6NXxojyVOUzT3jELMLh2AGyrgeOECSztEacno/sGln+y9GRetg+/+OHGn6HHuAAcM9dq9G87H28d+HJLyEcWLt8fu0cm21xdg65yFguSo4AeAxujZ5onLoRqIhzkfVODQ0gNelHA8Am22as00CjXQzReko0589+cnDaCOgJeXoC9HrwV6MypPFyY725rC6AGMoxr5boTUyqze16XURVkN+2OGy7it+/zDBYW1Zpb5t78az+d652/DVs9qKPvR7Qe30ADgC/u+8XOOaU43H9F//lhbOPOnZT1SOnP/6sly3IeAQnoiQK1IqnTlzEJw6JbawWG4GdJoEu/2iadgE0WnBjHZ0A7NOaWO7/JNOcWBJtObanephBXHQofZIYWXYJUPMCMYlYI9Tj9whEiwNHxfihFQZiFEFoybBcH4+sWza8+vHj/+KiC+f87GMXPI2uhZe+XrA79JPM5OD7voUTPjsP73xb5SKv4n9z3QtrZ+zYPQgvtKN8QX3GnuTWDQCcItFhMuttTkDTrbeuvFBC0oGvJpxyYhlfLCR+X8okM54opk00ecoFzVOXiaEaaZNLdWejyfXpy7HTzOz+bDb7FfvCeI8q6CQQxRhBpUphua2YN79nX75APlfsrP34A5+dhf/77T97XfF2yCeZyUFmXAkAuOv6oR87tm0/9OjD1/7yjrvbH/5jHbZlRRa54XadCvD4pKqnCS2g9oC+n1qnWbMJvvnUP05zusSWbuK3mpLa9D+m4SN5PCGNnokWXSgnmIRoTiLwKIwWUIkTavKq3kOkXY4tefw14wQKcReRags4OPexY7gN8/vP3NMy+8QvBmHw4+kW6jnY43UHuBptM5rB+dBN55x1Esnk6//43JZH24cHh2E5FizayBcNKS9xAQAmOJNYiZSThPXXnT+p4Nf2mZbk8Rruh8bbpzqOBkwCJBqoSvAankstrlxsjd4TBSZGqov8seqN0vXP1F2LMjCIeCERpahALh6MB8jmS5g177Q97XNOumrnEL9pbmfzIUTSlKfq8I4tO2oIguDihx974lu33vFgy4at+8Ts2yKRNQT0W3gKuNWPSXJw45kYiom5XW6D/n6SuBMkKUyCoij6oVGRKXVw/ftMoIOnURTjDtZATZQhUPp1/NrQzKPP4Mb+ihoaTiCNMqoOH1RlFHH1e0JYFgenneief9pg+5wTrqTU/jdCSocVX4fNgqvRMyuL0Pdublt17MD27Tv7Fi7wv37fA487lgylDUIJchrHoaRRCZ276+sANFhpk8poEydtXerxp/gthh6dtOjToCqEpBxvmudRxJeYbU+UtY7iTiCyfoh2cOMzomOQiPYo7dz8ngREBpMHjCIIxf8yZ/4Jfs0v/HWp/eQNYZi7w7IOO7wOP8ABwHJc9siT626/4Pxz3Geff6lSytHvP/XUH8nwWI1uHySwKVCwhNWzKbTb7gRhptogiRdTURJ9+1ToSmKZTBORZLJ9ErycTHBBG58vF1R1WLUNkPRFVZ7S+/bIZf27RBHBKrVNrlRZ+UJGZLAswLVF7fdtu3MAKbH5C47kxZaFV/TM6vvXysgWzy0c/MCpAxmHJNjqQMYpx/dj967t3vy5HTfPn9ez9Lwzjvi7j7y3CR2do6gE4tbr2oDrAI4tVYjkQbTJlj6SrUhibk3MYK3EjFWnQYmPMUJW1TOXpjFep3sD00fDfIHHcwxzP/Mgegw4tOXGFLOkMSCaaW78jOSFzTgQhgReYKHuWfB8UVnYdX1s2D6ENRtmYCQ48u86Z/Uuzea7bh7aO+AVmt8Y4AbeQAAHgBOPXYplS+ZVl3QPrfvoRR+7NtfUcU1PT39YzttwLYZ8hqCYI8g4Apgp8f/xCzX0yWcC5MZEkyYuhAm+ow7uiYGS2G9/RspkefKdEyGvOrihdXWIkhXiOPL4O3Ljs5NUjnOCumdhrGJjrGqhWqPwwywWLlgcHn9M2zW3/efF166+Z2RdsWVetWXm0oOIiNc+XjdHz/6MG//3TzF3URe/6ILLH/jVL36WKbjkhPGxITvvBmgpUWQzwL5Rjrov9m+guiS2yErjbtSa40kkpRBZhklp0TCvmlRmEHm1KFaKVY1OHkpMR0+DBzMRUqCvS+r75t3FnEPE11T83SC/X/SVKYlCiht0d/AI3ZQCti16Wm7d5WBgmIJQG01NTZg5+5T6/CUXfmPxktO/9O8/mMnf/e6PHm7YpI7DrqJMNvYNjECUwCL/uHbdxpPuv+9uOru9dpIfbLRv+nUetTEHxSyPrLn6c5VH1Ja83aIkUi10gMeOnsaWgMZkVdPvTBXD9GxS3amjjivVFItqago1owmjBI4JIgl1lcSY/xrfkxsXpq686BGGIvyBw7JkO0iLw7Z41MUaiO8ElHIUcwEGKjXccGsGve3dwRELio+tOmMV6+ic9xhjuMqxCZzM5L0qD+d4QwNcH+uevR2WlS353t5/+d2zz33oGz8Zo1bdQ0tB1KoOQvHgiMHt2OLZtoiWBSSAFst0sdzXcHJSzw4xrSwx5T9dDow9mxMDXAe2lbCmMcAbKwZM9i9G3l0tvNbSpUEq2vFZFodjMzg2g22LMFcOgiCgCEIRMVjI1FAo+fj103NZJrPslpZS8yWeXx/9xMUHVivw9R5vGoADwPpNL6FczLY98+KOz6y+85kjiT983qaNGwBiYXCMYqhGkbE5sjZH1uHIOIBjE1iWVuqNwgScsuKJ0zHRBFGnBQ1x4Qm9e0qAq/gbmgSjHkPDo++oa9LiOyKeWGsT7HiewWFZUl6lgGXxhBVncG2GjBsimwmQcUI4NsdoJYPdAw7q9RBze3owpytzq9t8zHNw53wbrLq3o2PJ4YbCtMebCuBqrFu/BYVCoWfD+pevf+HFl897bM3z4Gwf1u3leGVXHu05jnKOo5CRADccKiSmLZbGxaPTEQObaXX+jJMWUQAt7iRBTywZWagD20oBuJUAeWxppSVP0BQ19LQ0fXIZf8fYYtsWJCUx41IsyuE6IQq5AOVCHeXiODbsCPDy5mbMau/AjI4j0DV7wa19fX2frVQqW8otcw73X7/f400JcAAYGxmA4zgLnntx4/LBocpnitYzKweGfovLr3fhBE3obmYo5whcRzY+lfEYio8Lyx4DMBpRDiIHY+J9TAO5sqJxrDmJ7gqNXJtod4xGgBsgp3FosJUAuMpSUtZbwVzkQMq8ST3vUn5PdcHYFodjx1ybI+685joMTQUPHTPGUPN34qs/7cbJy9+OD5yx5EFqF77d1Nr3DGP++pntzYf7Lz+g8YZw9BzIKJZbAWA953w9gOeGdozPyuS7bjzvuS0L7rpvvZV1QhTzFI5N4QccNY/L7rxcAI1Ibm6RSJlQ4CZMKAcgIrNONFONrSclovYf1TPZ5TKDcR9AovwrgIm9rTBKYOgpZ5oFlwePKsBCgDVkZnIwIC4ObokLSrwWAA8ZhRdQeD4R54BSdBKK5o7TwveedeJ6wqy/WLD4xB0A1hHyprWBAN7EAFdD/gHrON++zvPDM09b0d79ntPe/ovHH3moXK/sLtRr49gzEGJwFPBDjrxL4DqAZRE4NoFji3otDAALZdsNqCarwnqHjEedESgBOOVCVuQAGJcFKFXlVpXNzqOY6Ym08kh31mRNI54mwc1VHIm6EFVX45BBAlxY9DAUIKcUYLYAesYBXJsjlwngBRQDoy6272EolwqY1d033rVoxYhljZx/WnnxNk7sLW92YKvxpge4GoR0gTG25X3vmv3KwNDoEe1lemIuw3+wYf3Lwe/+sK51477tpYERoKPMkM9SODZBNmPBdUSxiTBkCAhDGMYACxkQhgy+zxGK8h+CbkAALW7epPWC54hd45jE15MiRepc24jhpolJIoBQ1uSueyJeR3VpCEPAl4oSIYAbCqBnXQ7X8TGzdQxD4xSZ8f7R5UctGOid12eXCtYnSy3zH7fdwnC5DeytAm7gDebJfM0/hlIQQhgNK4M9c7ruLpdK/bf8/Fd9l11ywdcuu+htz/f2tj1dLjfVmssFZF2KQo6iuUjQVAQyrgA6IeK2nctYyGUIvIBjpMJRq3N4gbDmoaQtahLKNN4eZ/NO7zvrioduxZOJC5aU9lybIZcN0FTw4TohKnWOSp3AD2OPZt3jGBn1MTjsYXgsxFiFg1p5FIqlmltoeXrMPvH5E0694GsP3ru6r1As9Te1zrp7597RQULIWwrcwFvIguujpa0TEKyjMjywGY7tfN11ra+fccoyq72l9H0b9f6Bfdvfzuq7rebCKEIWYsNWht1VDptSFPI2mkoULSUfY0ENz27NYmaZI+9yOZnkYDIOWhXQIUxVctWrRE1v6I5R3clDdT4uZb2MEyKXDdDWXMHGPTZe2FJGS95Bc4mimAfAA+zc62P7PsCiFubOyqKjqztc0D/34fZWZx1ng5fxgdHQcbO49K+u40v751YO9/91KMdbEuD6aGrtBWK8BUNDI5c4rtsyMjzwD2ufvc/N0ZdCx8kdA4ceu27bXvi1KjJuBuW8gyW9Vdj5QTz8UjtGqi5cOxSWWho5QbW57C0JECblOb6fVlBzjRtuc6rFvkMA3rY5ygUfIR/DY8872Lg5g6VzOPJZiqzD0NJsYyTswD7P+n21Wv3DnJ5e66yzVnnt7TP+tlarDzY1NR3uv+R1HW95gCdHc3MZAAYBXAoAG196AJSSlYsLlTNqpHK+X68vyrk+UNuIYmEMuYwHL6ghrBM05wCatSIZDzzudaNmk4QQcCuhniRC9NLCfCPnC42dM0rdEfXVZR9MBKCkhrpXxWjVBqcZOJksli1bgu6OLApFe22xK/+LZcsL9xDCHzzv7JX49OuX4/uGG28twvUaxr59AwBwpucHfeNjQ+zZNb9k3V3OvMc3tHzxrgf3oKPsYGjvDjBvCKWchUqdgVoWKKGx7kyAjEuQz4rJq2UpTk9h20InBwTtUGEESgPPuBz5DIPrhEboAOccQRhivEpRygfo6c6jo7MVpfwwdlZ7cMtd3rVhZWzTpX9+Pm1vb6GE2hsA3F0qtRzuU/qGGP8N8AnGY8/uQTabad68dfvKZ555FqUs9dtb81fmM1iVcQhGxjw8ueYP2LV3FIAApBcArhWgmGEo5Gz4UoHJ5SwUcxYAjkpNmO5CjqCQFe/xA6CUB2a1UzSXZLMmWeWV0zIWLjoK4zUH+SxHqcDuda3Rb2WcmtMy6wg42e4HgfoQIT2H+5S9Icd/OYoy3XHSsnYAGAJwGwBseWUHALxEwDpsCjY6Xsf6DesxMCwa2xIKDI/V/DPOWnE1WO09+UzoV2ocw2MBykUbLSUL4Ax7hkJwTtBcstBc5BgeEypNW0vG6Wwv/Koy8NjVIS84QqZkgF1C99yl8JkL1ybUdcguAJvKzbMO9yl6U4z/tuAHcTzw4CMghHQMDextyrk+H6tyDI6EaCpZaC2LPpK79omJamvZRnOJY3CEYXiMo701R7q7O4Y557uOWLbicP+Ut8z4/7TEf0+wMxXMAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE2OjU4OjIzKzAwOjAwb0fqZAAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNjo1ODoyMyswMDowMB4aUtgAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 121475000
{'hecke_orbit_code': 9007886483063009, 'n': 1, 'trace_an': 16}
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id: 121475001
{'hecke_orbit_code': 9007886483063009, 'n': 2, 'trace_an': 0}
-
id: 121475002
{'hecke_orbit_code': 9007886483063009, 'n': 3, 'trace_an': 0}
-
id: 121475003
{'hecke_orbit_code': 9007886483063009, 'n': 4, 'trace_an': 8}
-
id: 121475004
{'hecke_orbit_code': 9007886483063009, 'n': 5, 'trace_an': 0}
-
id: 121475005
{'hecke_orbit_code': 9007886483063009, 'n': 6, 'trace_an': 16}
-
id: 121475006
{'hecke_orbit_code': 9007886483063009, 'n': 7, 'trace_an': 0}
-
id: 121475007
{'hecke_orbit_code': 9007886483063009, 'n': 8, 'trace_an': 0}
-
id: 121475008
{'hecke_orbit_code': 9007886483063009, 'n': 9, 'trace_an': -10}
-
id: 121475009
{'hecke_orbit_code': 9007886483063009, 'n': 10, 'trace_an': 0}
-
id: 121475010
{'hecke_orbit_code': 9007886483063009, 'n': 11, 'trace_an': 2}
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id: 121475011
{'hecke_orbit_code': 9007886483063009, 'n': 12, 'trace_an': 0}
-
id: 121475012
{'hecke_orbit_code': 9007886483063009, 'n': 13, 'trace_an': 0}
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id: 121475013
{'hecke_orbit_code': 9007886483063009, 'n': 14, 'trace_an': 6}
-
id: 121475014
{'hecke_orbit_code': 9007886483063009, 'n': 15, 'trace_an': 0}
-
id: 121475015
{'hecke_orbit_code': 9007886483063009, 'n': 16, 'trace_an': -8}
-
id: 121475016
{'hecke_orbit_code': 9007886483063009, 'n': 17, 'trace_an': 0}
-
id: 121475017
{'hecke_orbit_code': 9007886483063009, 'n': 18, 'trace_an': 0}
-
id: 121475018
{'hecke_orbit_code': 9007886483063009, 'n': 19, 'trace_an': -8}
-
id: 121475019
{'hecke_orbit_code': 9007886483063009, 'n': 20, 'trace_an': 0}
-
id: 121475020
{'hecke_orbit_code': 9007886483063009, 'n': 21, 'trace_an': -30}
-
id: 121475021
{'hecke_orbit_code': 9007886483063009, 'n': 22, 'trace_an': 0}
-
id: 121475022
{'hecke_orbit_code': 9007886483063009, 'n': 23, 'trace_an': 0}
-
id: 121475023
{'hecke_orbit_code': 9007886483063009, 'n': 24, 'trace_an': 66}
-
id: 121475024
{'hecke_orbit_code': 9007886483063009, 'n': 25, 'trace_an': 0}
-
id: 121475025
{'hecke_orbit_code': 9007886483063009, 'n': 26, 'trace_an': -40}
-
id: 121475026
{'hecke_orbit_code': 9007886483063009, 'n': 27, 'trace_an': 0}
-
id: 121475027
{'hecke_orbit_code': 9007886483063009, 'n': 28, 'trace_an': 0}
-
id: 121475028
{'hecke_orbit_code': 9007886483063009, 'n': 29, 'trace_an': 2}
-
id: 121475029
{'hecke_orbit_code': 9007886483063009, 'n': 30, 'trace_an': 0}
-
id: 121475030
{'hecke_orbit_code': 9007886483063009, 'n': 31, 'trace_an': 8}
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