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mf_newforms • Show schema
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{'Nk2': 3300, 'analytic_conductor': 6.587658166755632, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [825, 2, [551, 727, 376], [2, 1, 2]], 'cm_discs': [], 'conrey_indexes': [199], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, 1]], [7, [16, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 137472508729, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '825.2.c.a', 'level': 825, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'minimal_twist': '33.2.a.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+iq^{2}+iq^{3}+q^{4}-q^{6}+4iq^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '825.2.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 333993185532675910, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.904', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.129', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.113', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2.231', 'prec': 17}, {'__RealLiteral__': 0, 'data': '151.381', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.521', 'prec': 17}, 'traces': [2, 0, 0, 2, 0, -2, 0, 0, -2, 0, 2, 0, 0, -8, 0, -2, 0, 0, 0, 0, -8, 0, 0, -6, 0, -4, 0, 0, 12, 0, -16, 0, 0, 4, 0, -2, 0, 0, -4, 0, -4, 0, 0, 2, 0, 16, 0, 0, -18, 0, 4, 0, 0, 2, 0, -24, 0, 0, 8, 0, 12, 0, 0, -14, 0, -2, 0, 0, 16, 0, 0, 0, 0, -12, 0, 0, 0, 0, 8, 0, 2, 0, 0, -8, 0, 0, 0, 0, 12, 0, -16, 0, 0, -16, 0, -10, 0, 0, -2, 0, 4, 0, 0, -12, 0, 12, 0, 0, 4, 0, -12, 0, 0, 0, 0, 12, 0, 0, 16, 0, 2, 0, 0, -16, 0, 8, 0, 0, 0, 0, -24, 0, 0, 8, 0, 12, 0, 0, 16, 0, -16, 0, 0, 2, 0, -28, 0, 0, 44, 0, 40, 0, 0, -8, 0, -4, 0, 0, 12, 0, 64, 0, 0, -4, 0, 24, 0, 0, 18, 0, 0, 0, 0, -12, 0, -2, 0, 0, -24, 0, 44, 0, 0, 48, 0, 16, 0, 0, 8, 0, 16, 0, 0, -4, 0, -18, 0, 0, 0, 0, 8, 0, 0, 4, 0, 16, 0, 0, 0, 0, 0, 0, 0, 24, 0, 6, 0, 0, -28, 0, 8, 0, 0, -40, 0, -12, 0, 0, -12, 0, -8, 0, 0, 4, 0, 8, 0, 0, -48, 0, 20, 0, 0, 12, 0, 4, 0, 0, 24, 0, 8, 0, 0, 8, 0, -34, 0, 0, -48, 0, -12, 0, 0, -6, 0, 0, 0, 0, 4, 0, 40, 0, 0, -4, 0, 16, 0, 0, 16, 0, -36, 0, 0, 0, 0, -4, 0, 0, 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0, 0, 8, 0, 16, 0, 0, 0, 0, -28, 0, 0, -12, 0, 52, 0, 0, 8, 0, 56, 0, 0, 32, 0, 2, 0, 0, -44, 0, -24, 0, 0, -96, 0, -24, 0, 0, -36, 0, -40, 0, 0, -4, 0, 48, 0, 0, -36, 0, -12, 0, 0, 40, 0, -64, 0, 0, -8, 0, 32, 0, 0, 12, 0, 0, 0, 0, 24, 0, 12, 0, 0, -44, 0, -108, 0, 0, -8, 0, 0, 0, 0, -56, 0, -44, 0, 0, -12, 0, -48, 0, 0, -16, 0, 66, 0, 0, 20, 0, -64, 0, 0, 0, 0, -104, 0, 0, 32, 0, -12, 0, 0, 12, 0, -4, 0, 0, 12, 0, 24, 0, 0, 0, 0, 80, 0, 0, 0, 0, 24, 0, 0, 12, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [0, 1], [1, 0], [0, 0], [-1, 0], [0, 4], [0, 3], [-1, 0], [0, 0], [1, 0], [0, 1], [0, 2], [-4, 0], [0, 0], [-1, 0], [0, -2], [0, -1], [0, 0], [0, 0], [-4, 0], [0, 1], [0, -8], [-3, 0], [0, 0], [-2, 0], [0, -1], [0, 4], [6, 0], [0, 0], [-8, 0], [0, 5], [0, 1], [2, 0], [0, 0], [-1, 0], [0, 6], [0, 0], [-2, 0], [0, 0], [-2, 0], [0, -4], [0, 0], [1, 0], [0, 0], [8, 0], [0, 8], [0, -1], [-9, 0], [0, 0], [2, 0], [0, 2], [0, -6], [1, 0], [0, 0], [-12, 0], [0, 0], [0, 6], [4, 0], [0, 0], [6, 0], [0, -8], [0, -4], [-7, 0], [0, 0], [-1, 0], [0, -4], [0, -2], [8, 0], [0, 0], [0, 0], [0, -3], [0, 14], [-6, 0], [0, 0], [0, 0], [0, 4], [0, -2], [4, 0], [0, 0], [1, 0], [0, -2], [0, -12], [-4, 0], [0, 0], [0, 0], [0, 6], [0, 3], [6, 0], [0, 0], [-8, 0], [0, -8], [0, -8], [-8, 0], [0, 0], [-5, 0], [0, 2], [0, -9], [-1, 0], [0, 0]], 'ap': [[0, 1], [0, 1], [0, 0], [0, 4], [1, 0], [0, 2], [0, -2], [0, 0], [0, -8], [6, 0], [-8, 0], [0, 6], [-2, 0], [0, 0], [0, 8], [0, -6], [4, 0], [6, 0], [0, -4], [0, 0], [0, 14], [4, 0], [0, -12], [6, 0], [0, 2], [2, 0], [0, -8], [0, -12], [2, 0], [0, 6], [0, -4], [-12, 0], [0, 2], [8, 0], [22, 0], [20, 0], [0, 14], [0, -4], [0, 0], [0, 6], [-12, 0], [22, 0], [8, 0], [0, 14], [0, -14], [0, 0], [0, 0], [0, -16], [0, 12], [-6, 0], [0, -30], [-24, 0], [10, 0], [4, 0], [0, -14], [0, 16], [2, 0], [20, 0], [0, -26], [-18, 0], [0, -16], [0, 6], [0, 32], [-24, 0], [0, 22], [0, 22], [-20, 0], [0, -22], [0, 4], [-6, 0], [0, -18], [8, 0], [0, -32], [0, 2], [-28, 0], [0, 16], [18, 0], [0, -2], [26, 0], [-18, 0], [4, 0], [-26, 0], [-24, 0], [0, -34], [20, 0], [0, -28], [-2, 0], [0, 18], [-30, 0], [0, -16], [0, -12], [-8, 0], [0, -16], [4, 0], [4, 0], [0, 32], [-30, 0], [-30, 0], [0, 16], [46, 0], [0, 8], [0, -14], [0, 44], [42, 0], [-16, 0], [0, -30], [0, 28], [0, -38], [8, 0], [26, 0], [0, -4], [0, -14], [0, -30], [-44, 0], [16, 0], [18, 0], [0, -20], [0, 8], [0, 2], [-4, 0], [-26, 0], [0, 46], [0, 18], [0, -20], [-28, 0], [50, 0], [-38, 0], [-24, 0], [0, 0], [0, -30], [-8, 0], [0, -40], [-8, 0], [0, -10], [6, 0], [-2, 0], [0, -6], [0, -8], [0, -10], [-54, 0], [-56, 0], [-14, 0], [0, -24], [0, 20], [2, 0], [56, 0], [0, 34], [0, -10], [36, 0], [0, -48], [0, 6], [26, 0], [0, 20], [0, 8], [0, 12], [24, 0], [20, 0], [6, 0], [0, 26], [-54, 0], [0, 12], [0, -22], [0, 4], [-52, 0], [0, -6], [0, -24], [40, 0], [0, 14]], 'char_orbit_index': 3, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 137472508729, 'hecke_ring_character_values': [[551, [1, 0]], [727, [-1, 0]], [376, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '825.2.c.a', 'level': 825, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3300, 'analytic_conductor': 6.587658166755632, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [825, 2, [551, 727, 376], [2, 1, 2]], 'conrey_indexes': [199], 'cusp_dim': 108, 'dim': 28, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 137472508729, 'hecke_orbit_dims': [2, 2, 4, 4, 4, 6, 6], 'label': '825.2.c', 'level': 825, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'mf_dim': 132, 'mf_new_dim': 28, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 28, 'sturm_bound': 240, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [28, 0, 0, -32, 0, 8, 0, 0, -28, 0, 0, 0, 0, 8, 0, 56, 0, 0, -12, 0, -4, 0, 0, -24, 0, -8, 0, 0, 32, 0, 4, 0, 0, 40, 0, 32, 0, 0, 4, 0, -32, 0, 0, -16, 0, -24, 0, 0, -24, 0, 16, 0, 0, -8, 0, -72, 0, 0, -32, 0, 12, 0, 0, -40, 0, -8, 0, 0, -16, 0, 96, 0, 0, -40, 0, 72, 0, 0, -16, 0, 28, 0, 0, 48, 0, 72, 0, 0, 56, 0, -28, 0, 0, -8, 0, -24, 0, 0, 0, 0, -24, 0, 0, -40, 0, -152, 0, 0, 28, 0, -48, 0, 0, 64, 0, -24, 0, 0, -152, 0, 28, 0, 0, 24, 0, -8, 0, 0, 20, 0, 72, 0, 0, 80, 0, -168, 0, 0, -8, 0, 8, 0, 0, -56, 0, -40, 0, 0, 144, 0, 132, 0, 0, 0, 0, -80, 0, 0, 32, 0, -56, 0, 0, 120, 0, -48, 0, 0, 24, 0, 12, 0, 0, 72, 0, 32, 0, 0, -88, 0, -52, 0, 0, 88, 0, 80, 0, 0, 4, 0, -16, 0, 0, 248, 0, -208, 0, 0, 4, 0, 4, 0, 0, -72, 0, -176, 0, 0, -16, 0, 4, 0, 0, 128, 0, 24, 0, 0, -32, 0, -104, 0, 0, 120, 0, 136, 0, 0, -12, 0, -24, 0, 0, 8, 0, 64, 0, 0, -136, 0, -12, 0, 0, 56, 0, -24, 0, 0, -56, 0, 120, 0, 0, -56, 0, 232, 0, 0, -32, 0, -32, 0, 0, 24, 0, -32, 0, 0, -72, 0, 48, 0, 0, -168, 0, -8, 0, 0, -4, 0, -24, 0, 0, -160, 0, 8, 0, 0, -60, 0, -36, 0, 0, 64, 0, 56, 0, 0, -72, 0, -76, 0, 0, 240, 0, -40, 0, 0, 16, 0, 168, 0, 0, -88, 0, 16, 0, 0, 24, 0, 56, 0, 0, -32, 0, -80, 0, 0, -16, 0, 112, 0, 0, -176, 0, 8, 0, 0, 80, 0, 64, 0, 0, -24, 0, -88, 0, 0, 120, 0, -4, 0, 0, -80, 0, 16, 0, 0, -256, 0, 104, 0, 0, -152, 0, 112, 0, 0, 32, 0, 136, 0, 0, 64, 0, -216, 0, 0, 76, 0, -24, 0, 0, -72, 0, -40, 0, 0, 104, 0, -56, 0, 0, 88, 0, 16, 0, 0, 52, 0, -56, 0, 0, -40, 0, 288, 0, 0, 28, 0, -104, 0, 0, 24, 0, -24, 0, 0, 64, 0, -128, 0, 0, -200, 0, 16, 0, 0, 16, 0, 8, 0, 0, -16, 0, 56, 0, 0, -84, 0, 24, 0, 0, -24, 0, 64, 0, 0, 16, 0, -16, 0, 0, -48, 0, -208, 0, 0, -16, 0, -16, 0, 0, 72, 0, 120, 0, 0, 60, 0, -92, 0, 0, -128, 0, 160, 0, 0, 64, 0, -360, 0, 0, -32, 0, 8, 0, 0, 116, 0, 136, 0, 0, 112, 0, 192, 0, 0, -12, 0, 32, 0, 0, 72, 0, 32, 0, 0, -256, 0, -104, 0, 0, -136, 0, 144, 0, 0, 8, 0, -168, 0, 0, -240, 0, 80, 0, 0, -244, 0, 32, 0, 0, -208, 0, -32, 0, 0, -64, 0, 20, 0, 0, 424, 0, 32, 0, 0, -12, 0, 168, 0, 0, -40, 0, 120, 0, 0, 140, 0, 0, 0, 0, -40, 0, 168, 0, 0, 160, 0, -140, 0, 0, -56, 0, 40, 0, 0, 28, 0, 184, 0, 0, 168, 0, 360, 0, 0, 228, 0, 88, 0, 0, 8, 0, -56, 0, 0, 0, 0, 44, 0, 0, -608, 0, 184, 0, 0, -56, 0, -128, 0, 0, -280, 0, -80, 0, 0, -236, 0, 16, 0, 0, 296, 0, -184, 0, 0, 240, 0, 68, 0, 0, -120, 0, 40, 0, 0, -96, 0, -88, 0, 0, 144, 0, -200, 0, 0, 24, 0, -28, 0, 0, 16, 0, -376, 0, 0, 240, 0, -128, 0, 0, 48, 0, 40, 0, 0, 92, 0, -24, 0, 0, 184, 0, 216, 0, 0, 196, 0, 32, 0, 0, -72, 0, 16, 0, 0, 360, 0, 16, 0, 0, 128, 0, -168, 0, 0, 24, 0, -56, 0, 0, -176, 0, -8, 0, 0, -140, 0, 16, 0, 0, -96, 0, 208, 0, 0, 72, 0, -80, 0, 0, 448, 0, 8, 0, 0, -28, 0, -40, 0, 0, -224, 0, -120, 0, 0, -208, 0, -36, 0, 0, -96, 0, -72, 0, 0, 88, 0, 144, 0, 0, -96, 0, -48, 0, 0, 48, 0, -352, 0, 0, -288, 0, -224, 0, 0, 52, 0, 168, 0, 0, -72, 0, -568, 0, 0, 40, 0, 40, 0, 0, 384, 0, 128, 0, 0, 40, 0, -232, 0, 0, 296, 0, -88, 0, 0, -264, 0, -56, 0, 0, 72, 0, 16, 0, 0, 248, 0, -276, 0, 0, -48, 0, 104, 0, 0, 28, 0, -136, 0, 0, 432, 0, -24, 0, 0, 248, 0, 76, 0, 0, 184, 0, 24, 0, 0, 152, 0, -220, 0, 0, 256, 0, 8, 0, 0, -132, 0, -336, 0, 0, 160, 0, 64, 0, 0, 128, 0, -112, 0, 0, 24, 0, 456, 0, 0, -40, 0, 292, 0, 0, -248, 0, -360, 0, 0, -256, 0, -8, 0, 0, 48, 0, -104, 0, 0, 88, 0, 0, 0, 0, -200, 0, -232, 0, 0, -248, 0, 80, 0, 0, -168, 0, -72, 0, 0, 24, 0, 152, 0, 0, 312, 0, -192, 0, 0, 100, 0, -28, 0, 0, 48, 0, 368, 0, 0, 208, 0, 160, 0, 0, -112, 0, 40, 0, 0, 12, 0, -88, 0, 0, -624, 0, 8, 0, 0, 232, 0, -16, 0, 0, 152, 0, 272, 0, 0, 32, 0, 384, 0, 0, -40, 0, -144, 0, 0, -176, 0, -200, 0, 0, -320, 0, -80, 0, 0, 0, 0, -28, 0, 0, -120, 0, 160, 0, 0, 216, 0, -28, 0, 0, 216, 0, -192, 0, 0, 48, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 519834
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '33.2.a.a', 'target_level': 33, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 519835
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '99.2.a.b', 'target_level': 99, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 519836
{'conductor': 55, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '363.2.a.b', 'target_level': 363, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 519837
{'conductor': 55, 'degree': 8, 'multiplicity': 4, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '363.2.e.e', 'target_level': 363, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '55.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 519838
{'conductor': 55, 'degree': 8, 'multiplicity': 4, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '363.2.e.g', 'target_level': 363, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '55.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 519839
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '528.2.a.g', 'target_level': 528, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 519840
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '825.2.a.a', 'target_level': 825, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 519841
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '825.2.c.a', 'target_level': 825, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 519842
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '825.2.c.a', 'target_level': 825, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 519843
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '891.2.e.e', 'target_level': 891, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 519844
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '891.2.e.g', 'target_level': 891, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 519845
{'conductor': 165, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1089.2.a.j', 'target_level': 1089, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '165.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 519846
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1584.2.a.o', 'target_level': 1584, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 519847
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1617.2.a.j', 'target_level': 1617, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 519848
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2112.2.a.j', 'target_level': 2112, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 519849
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '2112.2.a.bb', 'target_level': 2112, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 519850
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2475.2.a.g', 'target_level': 2475, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 519851
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2475.2.c.d', 'target_level': 2475, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 519852
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2475.2.c.d', 'target_level': 2475, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 519853
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '4851.2.a.b', 'target_level': 4851, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 519854
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '5577.2.a.a', 'target_level': 5577, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '65.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 519855
{'conductor': 220, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '5808.2.a.t', 'target_level': 5808, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '220.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 519856
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '6336.2.a.n', 'target_level': 6336, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 519857
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '6336.2.a.x', 'target_level': 6336, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 519858
{'conductor': 55, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '9075.2.a.q', 'target_level': 9075, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 519859
{'conductor': 85, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '825.2.c.a', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '9537.2.a.m', 'target_level': 9537, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '85.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1375400
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 137472508729, 'p': 2}
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id: 1375401
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 137472508729, 'p': 3}
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id: 1375402
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508729, 'p': 5}
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id: 1375403
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 137472508729, 'p': 7}
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id: 1375404
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 137472508729, 'p': 11}
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id: 1375405
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 137472508729, 'p': 13}
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id: 1375406
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 137472508729, 'p': 17}
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id: 1375407
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508729, 'p': 19}
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id: 1375408
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 137472508729, 'p': 23}
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id: 1375409
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 137472508729, 'p': 29}
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id: 1375410
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 137472508729, 'p': 31}
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id: 1375411
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 137472508729, 'p': 37}
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id: 1375412
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 137472508729, 'p': 41}
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id: 1375413
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508729, 'p': 43}
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id: 1375414
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 137472508729, 'p': 47}
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id: 1375415
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 137472508729, 'p': 53}
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id: 1375416
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 137472508729, 'p': 59}
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id: 1375417
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 137472508729, 'p': 61}
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id: 1375418
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 137472508729, 'p': 67}
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id: 1375419
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137472508729, 'p': 71}
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id: 1375420
{'charpoly_factorization': [[[196, 0, 1], 1]], 'hecke_orbit_code': 137472508729, 'p': 73}
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id: 1375421
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 137472508729, 'p': 79}
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id: 1375422
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 137472508729, 'p': 83}
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id: 1375423
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 137472508729, 'p': 89}
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id: 1375424
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 137472508729, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 1, 'label': '825.2.c.a', 'level': 825, 'portrait': 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KybSFhqB7T7gkHssdwTbJwwLLYMJ88rKp7PxmnYOhuyYWbA+pkhG2eGbN1g2b5Rcdk2j6qqc+xkk4ee83niYMwzJyIS1eHtr25x2ystVTXDwROTHDurOXMhYS4F9+EFy/VXzPMf37fMtnUTnL0wyYXlCostj6WWZKWT0OkmdIeCQ8cX2H+yddnTB+duOX5qbueJM+c/f9Mb3hXef+fHX2pIfF23v9cMvrLSojOw+JpfvOfxw6/897/+Ufntrz7+yn/7raf1/NImFlcmWGzVWGz5LLY0iy1YaiUstSIWVxLmVuDIomB23Qo/+12L3LCnxqnz05y9UOfsgub8omVuIeb0fMKFTszk9IBXXdXlFZeCL6sEKuD8UoVzC5q5JUFvCHFsqPiGeiVhaiLGACfmYtpd2LHBo14dYq0A4dPtG7ZvHLK4osE6KbLShWEMFstSK2TLeo9OXyGURZghzYrH9k0DVnqCE2c1idHMNCWNiiDwII4FvaFkbklybtFyfjkmCAbgxdx0eZdXXiGYbVZZXG5y6nzA2QU4vxBzfinmzBIcWbS8/PIFfu67ltk42eTk3DRzi1Xml30WWpKllYTldsRyO2GpY1noCE62YGVphV///w3j73qr/4Ce+edGV694QMnkp8I4oFJtvtRQedHb31sG/9CffIKbXnEtP/nvfuznP/rJL//b3/nTL1/8won2ziNne/KVV/a5aJMhMRprFdY69sZKQAICISxaWHwJZxerPHJYctXuJS7dNqBWAU9LfE/h+5p6VVLzJL2ux4HjFe56wufEhSHtOOLAqSEbZpZ4x6uWueriDi+/tMXxhZiFnqAWDDh61tJq17nyIsnKIGHfcUWjpnn+BFyy2TIIEwaJj9YRUw3YfypA6QRPxmgP+kPJDZf26PckV12c0O4nnDjbYNdGRb0WsjK0rJ/ssdxt8xdfhqeOJTxzbMCOzYtcvbfN1HTI227q8K2vseze2CCJJjl2ZoIjpz1OzRlOX4g4fSHhyAXByZWIl+2Z52e/q8OGyUlOzU1zfrHG/IrPYkuy3EpodSJWugnLXctSF873FMudmBsuW+BH/tEFWfXYeeHcqV3tjrnRr11UrTWmvvj4Q3/N7/7+n73UkFnz9veSwT/8p5/gop2b1LMvHP2/T585/9NPPndcnboQcqGvmesbrtpxnl/9oXmu2V3j/OIUi60aS60KSy2PpbZmuQPLrYTldsxSJ2ahBaeWBbo64OYrlvi214TsWl9npdvkwlKV+SWfhZZgqeUkwnLH0O4b2kNLbxAz04zYvsEAgsCznL7gIWTAjvWKXZstm9f3OL885OlDDa67xFKrLvPc4Wka9ZAw9JiZMvQHcNn2AR/58iR7t8UMh5Z1E5Io6dOoBDx/fEDVq3PNnphnjoacX/TZMhOwaxNs3xiiVMTpBfA9ixCWHRtiphqSTj+g2/No9zyW2oqlFVhsGZZaCQuthLkWLA4Stm/p8m23LnDzpZqK1+TcQpOF5QoLK5qltmC5ZVjpRCx3Ela6lsUuzHUU51dibtg7x/t/aJFLttZYajVZXKmy3JnCq+1OGhMbfr4+uePn+p255MZXvfOlhs6q298rgB88eJBKtVI9d+b09ocfe+69R46f/c9Hjp0mSiSdPiz1BBd6irOdiJdfdJ5f+aElrr6oyoXlKRZXaiy3Kyy1PZbbmuU2tDqGlU7McidmqW053xKc7VoQXW57dYu33WC4aFOFMKyx3Kqw0vVpdRTLXUGnJxgMLWFsSRJQ0hJ4UA0sk03L+ukI7Q04ci7k2cMBJq7zlhtDtLfC4/sm2LkJPvtIzKuvDLjQ6lPRijiJmJ6COPLQXsziYo1XXdvmsw822LUJHjs0xKPGm28wxKLPs0cSjp2uoKXPhinNVF1QDQS+L1ACYgNhZBmE0OlZVrqGTs+w0jMsdi39JGHH1h5ve0WL214ZgmmwuDLBhaWq09ttzXILVjoJrW7MSgrupR6cayvm2wkv33Oe9//QBS7fUWVheZLlTo1WJ2Cl49PtW+rNLQT1Tf9hesOlf7lt65aTg8Ggv2fP3pcaSvnt7w3AT504xPrZWf/gocPfc+DQ4d9+5JGnxPxSR4aRpTcwdAeWdh9W+pILfcm5TsQNF1/gl79/kWsvrrCwMsniSp3ltjv4yx3NSkfQ6lha3YSVTkyra1juWi50BOdahqnJHm98eYebLo3ZsUHRrHq0OxUCTwKKMJYYIzAWegNAGKYaAw6dsRgbcudjdYa9Khdv8bn5qh6RWeGeJya55hKPQ3NdWstNXnFVjy8+HrBh2rLvhOX/emebfccDNkxL7npCcfNliqVem6OnprlmT8g9z/aJhzVuutxn97YB/bjLFx5XkAiOnNY0axotoNeXGCtIjCWKAWnQvqHVtdQbEds2DXnlZT3eeF3MTL3C+aUJx7xtd2yW24JWF1qdmFY3ptVNaPUsSz3JXEew0Im5ce88P//981y9q8L8ygQrnRrtbkC769Ppa7oDSa8vCJOK2bn7Srtz5+4f2XXRxX+0uLAQXnbZnpcaUsDfE4AnSSTjqPeOZx+/4+LFFfP+hx5+3OsOHIP2BzH9oaHbN3SHlk5f0OoLLvQlZ1sxN112gV/8/nmu2+2z0p5gfrlBq1thpeOz0tW0OopWDzpdS7sX0+4mdPuGVs8y3xXMdyFKhlx9SZ+N0wndnuWtrxiyc6MhTiRaWsII7n66wskLFTZNxTx3pAKmxqVbFdfuNQSVHo8f6jG/UOeKnXWak8s8+IzH9ZdUWOytsLzcZONGyyP7FP/4dV0e3afZut5jodtieWmaay/r8eBzCdPVSa64uMuFVotHXpikquu8fK9lz/YByC5PHxOsn444Px9xz9Meg0ghJSTGsnNTyBtfEdLpKjZPGa69BMKwxlKrxlIrYKXr0e4pWl1JuwvtXkK7m9DpJbR7hpWeZakvOdMWtPpDbt4zz8993zIvv8RdHK1OlXYvoNPzaPc03YGi25f0BoJ2N6Hdjbj6ZS+PhrH6d//42775cKNe+3QQeOalxtZLnsns9fr0e4PvOnnsiV89d+bQ9Nz5FRo1iZASKWz6r2IAhHAWoBAWKS1Sah49uIGf+gPNO29e4ttft8SuLSFzi00Cv0o18KkFHvWqplOVNPoeE3VNb5DQ7SdsGBr6Q0tnELA0X+H0KUsYG87MxQSBBQS+smgp6PUVAo+4p3nZTsHuzZbtW3oMkw6fe1Sx//AUb7ou4NrLlvnw5yy+qLFzS49nHlRsmVSsa/aoqCph5HGhA/WKZusGwVP7Q67dU+U11yzwoc/08b0Gb7jR4gU9vvRIyGcfrvPCsSoXba6xc1PC7FTIrnURV+5MUMqglQUstSBgdjIgjDw6PZ/nDnl0B5peX9EdSLp96A4s3Z777p1+QrdvafctK32Y7ynOL1tqEy1+9C3z/KObh1x9UZ1zC01a3QqdFNydvqKb/s7eQNAbWIahW0Xuue9RrzEx86sPPPjY0q233PBver3eh2q12kuKr5cU4MNhHyH4vsOHHv7Ffc98ebrfW0Erj2qgsBbnjKAQAoRI0kfXSaOkRckEX0qeOTTLkwfrHDp7gXe+sssrLx8w2Wiy1KpRb1do9n26Pe1OzkDSH2h6Q81gaBmEhjCyRJElTtw9jH2sAakEnhZUfMFkQzDVgI3rDFs39Fg31eLzj8O9T3pIM8GbrvN42aUd7n8hIhw0ufllgla/z4XFOjftMayb7FHVAYNYMd+OUEbwsj2aWmPIEwcq3HLtBK+4usMTBxTYCa673Od7377EF58KuevROvtOVtg+q9g4XWWqUWOiAdUAPG1REoyFfccESSKIYkEYwzDCfcdhQn9oGAwNvYGhNzR0+9AewnxXcqEDQzPg9dcs8Y5XtvjONxjiuMncQp12t0Kn79Pte3T7ik5fpcAW9AeW/tDQHybuGMaW02fP8fFPfX46jJL/8tY33aK73d4f1OsvHchfMoDH4QJSht974fQ9vzh/6u71nuwhq5phZLHW4GqoJAKBEAohBFKSghuUsmhl8ZSh6gkWelU++uWtfOnJNq++coX3vX6FK3d1mZmssbhSo9MP6PW9FNjK3UPBMJJEsSCO3VJv00VDSYvWUPGhVjVMNyK2rO8R0+XQmYi/uKfC0VN1JoMq11+uuemqNo8cbHHnQ01uvKTC9k09PvJlgRIBzUbESneIsaAEzDZ7tDs+Jq7yjldf4KOfrbH7fIW33dgjjBa559kZoqTCDZev523Xt7lkW4svPdHjmVM1nj7ms3VaMt0U1AKB77mLUKYXv7FgjANbnFjCyDKM3IU8CKEfQmcgWB4Kljog9IBr9q7wvjeu8OrLE2aaVZbbNVqdKp1eQHfg0e0XK0FvKOkPoJddOIOEwdAwCC1hDMZqTp5d4YMfvXP9fMf+4m1vf7U9Pbfyh1s3Tv7vAfCPfuL9fNs717N89uPfrei8f7Cwb13dG0CzxmAIUjpr3rE1CCHSu0RJjZQJSol0eTZ4yhJoS1ULlgeKxdYUH7u7zsPPdbn56hXe94YVrtndYiapEscBvUGFbt+jP9SEkSKKJXEiSYzAWOGyoMIS+IZaJSbwQ3xvyJnFIZ95THL4tM+x01MoE7B7k89luxTXXdpGBfM8e6TBlskaV1wEG2eXWWo3uXKLJDaWzz8aMOxJJusxb75hwKfviTg512DvxR7nVgY8f9Rj24Yprt41z/3PdHjwecEw9Ll01zSXbgu4dGuHI+eWOHwGHt1f49DROjUtCLSkHlgqHkjpgipr3cUaJxDGECaC7lDQHgjaEYQmxtgBL7+kzfve2ObVVyZsmg4YDCZYbFXodAO6A59e32nt3kDRHwr6A0l/6PpGB8OEQZiuDKFlGLrHQQj9SHHqZJtf+5O71z+w//z7N68LYtj14fbgqAhD7LqJ/3mh3/9UgP/YL32Ab3vXH/Ohj37Ld148u+839m48NumrOo16AyGHKOHAJaRFSoUUIKVASolSAq1U+mjQKsHTAl8bfM8SeJaanzBZEXSGHsvtKT5xb5MvPz1gw1SP997a4tJtAwb9LlfssmzbqBhGHklSpPkFFikNnk44cd5ybE6w0jfcfn+NMwtT2NBjqqLYPKPZsVFz0Ra4YncbIxf4wKfrLC1NcOOlmit2t/jS0wIRe6yfktRrMb3IR1oJVqK0T2sgOL8kuNzWuPW6Dg88UWXzOp8br5jmn719gT/6bIdHD9TpDjwWVxrs2lxl76YeN+zp8K5bOpxdWuL2+wMWewEnznmcOePjKXesBAJjLYmByFiS2DA1E3HV5T2Gw4hLtw15961D1k8ophsBUVTh3HyFXt+nN3SrXD8HtnTgHgoGQ9xKMEwYhIbhMHGgjpwO74fQj9zF1I0158+scPL2L617zxurv7Lv4F/9BwHfix3c+z8Tc//TAP7UE7/Ky66NxE/+l/e+xwwO/P5l65+tTUx49Lo+1WCItY59hDBI6TmwS5BSIiUoKdFKoFX6qAWeTvC1wPcMFc9SjSy10DJRSZiqCnqhpBPWOXa6zi//2TSYGBHHXHdVj10bQ+IYjDVY65I4UgikEmjP58BJn32HK9QrmoYvWVcTzM5I1k9rNs8qdmxK2LtjhUQs8pufbHLi5CQ37vG4dGdCP+7w0LMBk1WPmQnLZCOkVnVSyBhJa6BY6loWWwmtbpVXXbHCY/t67D+pmGxWuOHySb7/HYv81qfgicN1un3LSkdzfqnJxnU11k8N2DEz4Mfe06NZa/HMMThwSuJ5FqUsQhjAuv9ZiGPYuTHh5itjksgjigOsrTEIPeYWfPpDt6INQpXLt34oGAwFg9Cx9jB0Wdnh0Di2jkz6ngP4IIRBJOiFglYoWIoEQxszbIU8+fTc7PHDH5qtmLt37br0vff92u//jv3X3//P/9cB+A/+zB/xw7+9Rd12/b7bwu7xD//mn5+sPP38DO//0RZ7t/XACsjdER+lLEp66aNCKZXqbYmnneb0PcXQkwxDQxAmDCNLNTIMI0MYWpoxDCPDMIYwFgwiyTAJiJIK+w/XeXo/JNbioO20sSfBV67moxHAFZugWYWJumSqoZiZ1Kyfhu0bh2yaXSGyS/zmJyc4cnSCay9SXLRVsnvrMl95Pub84gTX7ZJMNQ0Vv08gA6wSxIlEWEuchCx3K5xf9Lj20iov29Ph/icqbJgS1CoNrt1j+NHbFvmNTxmeP9NgpWtY6SjmlzXrJutMNatMNSdo1iJm6xE7rg0JvBhPxyiV5A6UxV1UUaS4MK+JYkUUK8JIMYzSx1AyjCTDUDIIJcNQuAA1FAxT+TGMDMMwIQxTTR9lssQBexBBLxK0Q8FyKOmGMQx6vOyiNr/wIyu88uJ7ePjQ8AOPPPDH/Rtunvzkj9z2XxN/9sf+4QP8R3/hL2g2ampvdPbdf3nnyocefXqpYuUUn3skxPs9wc/9wAqXbe2ipEmliUUpk949lLR4yuJphactXijxPeFOgicY+oowckCPIksYFxF9fk8gTixJYkgMTm8bcnALAUqCluB5EGhBJRDUAkm9ppioSaYmBOunY3Zs7NGor/DJB0LueXaalYUmV21X7Njkccm2AYlY4fOP1qh7mtkpRaM24Nkj8MJRzZXbLL2h4upLIq7abZk7lzC/7NMf1HjL9R3ue6bPoTOKelUS+E2uvMjwc9+9yN3P9/n03etYbFt2rE9Ybmkmm4qJukej5lGvWiqBIfANgU7QykktmbZWWotLWBlBbCRxIohjQRRLwlgQRZJh5JyXMBKEkSUMYRglhJEhLBHHMCrfHbj7GbgjyUoE/WGIjHpcs3OZn/3BRd56fcwgbPCK3c9XZMX+Sfv0nn+asPHjy6d+J5na9nfL5H/nAN9ei2Wvv/jtZ06e+50XDp6t+I0mUZJgdMTfPKAIh4p3v7bDe17fZaoZ05EJWgapznZ62NMaL9IEWjHwHNMMPUnoC8JIuJMTKaIYwkg6ByEubL84MSSJcxcSmzolqVuSuTNKOtnja0HgSyqBpF4VNGuWyYZhw/SQ2akOsV3hY/dJ/uizM6yvVLhqu2D7Jo+dmw07Ni3zyYcsS0sVLt2omGpCoxZx/rjkwnKAvwuGkWB2QjI5CYeOWZbbhrmFCpfsrPC66zp85t4KMw0IfB8lJ7lyt+AH3nYBT17gb+6f4oUzFTa0I9ZPxkzUFY2qolaVVANN4EPggdbOYZICpCiBHHdhJwaSRBAnpECHKHEuSBQljhQiQ5g9Ria1HTNXJrUgY+E0dyRox4JOaAmHIRNBm/e+ZZH33trljddZ2r0Gw8gnjjVJ53TF6Knfj8W0tjT/HMcz/zAB/rFP3E6SmO++697nfuXCqZPNLZOaXmTpxIpeooik5vOPejz0fJVzy4v8X+/qM92MGQRV2r0KWvl42sPTHn6YEHoaP3TSJIxcKt0xjnBMlLJSHEOUQJI4J8EYF3AZY7MezhTcDuAucBV42gGkEkCtYmhUYyYbMbOTfdZNrfDA/pA/ubPKgWOT7Jzw2L0Rtm702boB9m5v04vbPLKvSVV5zE4pJhsw2RgyNRHj+xoh3MXVH/ostSNWepZWN+bCss/2jQ1ecekF7ny0x4EzTWpBhKd8hJhg9xbFP3nDAi/fe4E/ubPBI89NstjVrG/GTNZiahVJtaIIPEHgSTzPxSpKkdqHDuUW18NqDDnQ48Skq1tqLcaGOHHgjiMIY1vcI+fKDGJHKr0M2DEMBjEmGjBTa/PD37rEj31Hl1rFp9WuMox8othnGGqGoU+nd76ZqMnf9OpX+w/dd8cf3fTqb/qHB/CVlRZSyu/787/41C+eP3dmZrIm0EOLryCIoBILOtKjLyUrQ49f+UuPfUeWecctXW69psOGdSGddpX+MMD3YgLfYxhqAt/ZexnAo0gSxm7ZjeLU005IrT9S5pYYSwFul6RMmRu0cgkT37NUfEO1EtOoxEw1h2xa1+Z8q8dv3+7x+cemWVquc/GsYPt6wZb1PlvXC3ZtHqD9FT56j+boqTp7NkimGpKJeoKUQ87MWwItkcIlr8JIs2N9m0dJaPcUy23L+aUqe7ZWeNetLT7+JZ/j5wM8HSGEh7F1olhy3a5ldnxHm88/0eMjn5/m8eN1tkwJ1tUT6pWEii8IPIHvuVhFK1zgLEVek2FxF5mxOKclcYDPQB4nTtI5sEOYuCxlmCWPYkE/hk4s6cTQDw1Jb8jWdW1ec+0K33JLj7deb9CixvJyhTDyCSOfYaQZhh6D0KPT91hpn5/ZsL37/le8+ptVv9f+g2rt76am/O8E4CsrLXzP+2efv+ueX3zsiefWgyXwnHUlBCgsWgg8KfClpCsrtELNR79S4e5nOlx7aZvveEOPt93YYmYyoD8I6A99As8jjD3CSOeBUhwrokQSx5IoEcSxJEkEiRGF1jaCXJVYx9xSuGSRSpNFvmcI/IRqENOoDlk32aUf9fnSs5a/+MoEjzw3yZTvceUWy6ZpyYYZn82zkq0bQi7asswzx/vcft8sE0ozOyFo1gXNWkSrl/DZhyo0fPfdjYX+UPOOm4fc8bCriWl1DReWNVvXN3jnK7s8sr/DvkM+9SBGSeFAbmoMQqf1/8nrWuzZdIGP3t3mwRcmOblcZWNTMFGx1HxDRRt8D7QSKEmaIHPfOys/MqlUM6ZY4eIU6I4gIEoEUZICOxEMYkEvFnQTXMwThtSrPd75piW+/Q1trtuTsGFa0+/XaXczYHtEkXbsHWmGaf7BWDh/Zt/6gy+s/8U9l7/KdDvtD9Yb33iQf0MBvry8wpnzXYYh3/XZu+79r3d87oszKysthJB4Coxn00RKypwx+BIqEjrSo+cpTrcDzj5c4+Fnu3z8qg7vfl2fN988YHrSJxwGDGOPMPKIYk2UAj1OFHGSJmySAuDGpsxtisSCEOlFJl0dh9YG30sI/IhqENKo9kno88UnJH/25UmeOzaBiAJ2Tlk2TVrWTSpmp302rpNsno3YvrHNqfkOv/vpOvGwytatgsmGplmHZi1CeCHtfp3JhkUIgbUQxZLpQBGbmE7k0+klLLcVZ+arXH5Rgx/85hXe/+cBJ+braBWlF4YmjisMQsnGmYDrLm5z1UVdnj9xhr/4SpU7H5/kbKtKPVA0fKh7Fl9bPAVaunS+EKPVdQawxl10iREkFuJEOP88EYSJSxL1E0E/gX5sieMYEw2ZqfR5y+tXeO/rO7z6yoiJqkcY1VluBQxDnyjWhJGXrraaMFaEoSOlKJEIIRgOlji870vra9Xkv+66+MY4Gpz44yiZolb/xs1P/IYCvNfrs21j/Vu+ct+jv/Wpv7mz2Wm3qQTKaV/tLCuXTCFlFotOrGNyZagmgp7y6cWaC8MKf/NwnXue63HDXV3+xbd2uGx7m/WTimZNu6Uv9ojjAuRJBnAjMVbm9Sw2DyjTVL+yLojVMYEf46mQdj9ivh3x65+scOzCFE/sm8Qan5mqYP06y7oJwUxTMTPpsWFGsnEmZstsj5nJZT7/pOHxFya5aqtgqiFp1CTNmqFeDRHekCDQaOX+vrWQJJL+UNMfRMRG0OkbOl3LUttjbrHJTXu7vOLyFT56V4XqkkLLyAHSauLEJ4xcj+e6yQov393l5Rd3efQ1ZzkxL/mTOye5sFLj9GKAryR1T+BnMkw6csmJPJMqOCaPrSA2EBnBMIFBDKGxkMQQR0g1ZPNUn6t2uPNx/WUJzaomjuu0OkEeSDoCUulKm8VLKpWTyq2yxpVghP0W+5/50kwce7+1defLl6Oof/s3EpPfMIAfPHiIzZs3qg/98Z9f/NzzB5pJ2KZRc2l3IwUiIWXvrKbEsUqUCDxl8WNLJRHUlKCvBD0d0E88FsMqdz4+wQMv9KkHQ/7pW1tsnYnZubnPTVd00MK1iAnh5IrLSrpaaVeslYIblyFVwnnmlhhkzPPHJI/t13zmkQbPn2wQxjUaWjFbtUzXLVM163zwpmZ6QjMzKdg4HbN5ts+m2WXueW7IBz6znk2TmtkmNOuKZl3QqMVUgyEPHFQMQo1Xd6CyVhDGkopWXLOnz8PPTrrCp37CSttjYSXg/MIUP/i285xeWOThp2bxJCAiDOQAGoaSbl8z1agw2azzij09XnNVj+947Tz7TxnueKTCI/urHDxaJxaa4VDRixRKyLz8AbLAM80JWENsLNYYPJEw4YdUiHjFtV12bRqwdV3E+948pOpL6lWPMKzR6vjpSqpTwlG51+7u0t3zWCm1KRMnHyM82nN9VnoPNk+fnb/49W96tzpx/EiyY+fuvz8Af/6552k0JvzHH3/se7Q0v9LtrDDR8PJI3RhLIm2adnfAVkI4iZBYdAyeFHjGEsSWihLUEsHQwCDx6CcevaRCp5PwXz86hY0jNswOuHz7gJmJmHe/rs/29SFRJFK9LaHE3KT6U0qDkIJP3F3lmSN1hNacOFvjzPkalapiIhBM1i3NiqFZgUZVMFFTNBuKqYZmZhLWTcZsmBmwZX2bxK7wifua9Lt1LtlqadYUjZqkUTU0KjGeF/L5hysMexJvvesWzSRKvap4yw197n3S0B1Kuv2Edk+z0tHMLda4bFeDd7+6zRPP1zix1EBJA0SpXvaIEsUwcomZ7kDT6vo0qjXq1SGXbR1w494Bpy60OH5uBe0lPH1U8/Gv1BDKFa4xPn/QGsCAtURhwo4NMe99XZ91zYS9OywbZiCJPYZhgzj2WG57xJEiSnQaBymiyK2kUcrSUSLTWp/M3RJpvEQeIyUG4ljS6i1Tm4h/5emnHu/t3r39j44cfiHcffHlfz8AfuLUKeYuzO85P3fmt5955nFZCdw0pjg2JMammtimJa6QSFetFxmBjp1OjBKLl0CsBEFiqRhLnAhCYwkTwdBIhokkNB6Rgfluk688Y7Ak/PUjbmQD1qT3LIuXWmQiq0iUSKWII400Gk9LGgHsmrXUPUMtMNQCqAWCelXSqDo5NNGQTDVhZiJmdmrI5tkOCcv8+l9VuP/Z9eyegalayt41SaMaU6uG1Gt9qtUagZIomWpwnByIIo9BX9AfJnSGiu7A0Okb1zJX9zl9foJXXT7kR99znl/9uObkSoAQBmsjTGKJYo8wkgyGroy10dfUKz61aoVaUKMSRDSqIdddEuJ7EddfEvO+1/fQKk6TQAYh7KgoTyWdMRIhJIGnAJ/BULO4rF3dTpLFPOk9lkUMFKf3xIE7B3bK2HEsiudJCvL0eRhZHnr4UYkQvx3H/fsGg8Fz3whs/g8D/K4v/DXTk3714OEjt+3bf0hopZBSoGKDksJlD6UlNpBIgZKWWFlUAiqBRLmIXSeu9zHOIvokjeqzyN6I4rURhEYSW0liNJEJSFLbq3zLs5QCtBAuU6mgUrVUtKWiEgIPAg0V31INBFVfUqtKahXtAF4XTDYM082Ymckh66e7bF6/yAc+Y/jInRvYNqlY1zA064pGTVGvQa2a0KhGnFs0HDkXUPHdBQ1ZpZ9gEGp2bTRsXDegPfDpD2zK4pKVjqZRrdCoTfK+11/g6Lk5fv/2LWipsRgSkxAbSxRrhqGiH7qiqF5FUhtoqoFHNUhodVyM4XuJS5h5CVq6RgkpXTpfpHdXuiIAkYJc0DJplaVxcU2SSIyRxKaIdxxYswBflCRIkTFNUlBHiXDnOBHEJnueOjax+7tPP/2sWFru3bZx844jH//EX/Xf/a3vemkBXq9pf2Vl/if73Qs/6etISiGJE1ckpRLHwkliUSnQEwUqESSpPIkN6MT51UmWfDA2fW3z94rnRaWc83JFHiiVNTeQZvJcYKWlQUvSmhbwlMDTzr70taASSCq+pBooqhVFoypp1CwT9YTJRsx0c8i6qR7bNyzyyMEhH717M1OVgA0NQ7MmHLirknrFUK/ENGpDHjkAT++vcfGsTXVvkTbvDxXX77Vcsr3Po89N0hta+oOEbl+nIPeoVapUK5N82y1LPH3wAg/v2whWYUziymFjSxzZvJ6kP9TUBpZqRVHxDYHvEfgJgTZoneBplx1WyjWMSOmqNxHO3cpooQjOXQmxyRypXFaUrNgM2Eak5zp7TQ7s7O4IzD3m4DakWWf33vxiVyb27P8tVMWv1+s/D4QvGcCHg74Mw/7PfOXOP/s33dY5vxZol+6NXeo7Fk5zJ9KSSAfqxFhUmlRIlEWb9LlxMsZkS1eefcSxcwpyk2bismSFtZZS5n1kxc1S1Zlro2SasVSUirZc9i/wFZVAUQ0EtaqgUbU0awkT9ZjJxpCZiT6bZ5d5+ECfn/nQBk6enuSidYbJGjSrinpVUa9AvZJQrUT43oDWwBWLecrFH9ktMY7hotinWY3oxYZeWmfdGyR0epJWVVHrBFSCBjs3Rvzc97T4Tx+WPLRvAxaFsYYkMcRJTBgbwkgxCBX9QFIdKiq+JPAtga8ItMHznN+vVVbrk9b9pDJFCDvaoJum9m1KIjatZUlSwCemeHRkJNNHUQA8fZ6zdpK6NUmWRU1X7TSbGseGKLYcPX7a137t3/3zH/gur9fr/Ydarfa3Tuf/rQFu7QLWdn7+wsk7/1XcP1qpVV3lmbPiUqdEpmwtBbHKgGwx0uZgTxKLyZ4bgTG2FJxmHi1YY10XeVoCWr4zBvCiWSL9DMKBWylnl+m0Fc3TksB3A4AqgRvJUA0s9YqhUUto1iImGiHTzT6bZ1d4eH+P//RH6zhwcpod085haVQl9Zp07F211CoJtUpElIT86V0NpFJ40qJEYRMamy3hHv/kTct84fGQThjQSwHe7Ss6XUUr0FT8gMBrsndbzH/+3kX+4x8JHnxuA8ZKEuPS6lHsCs2GoWFYceWuQSCoeILAd5lNX9s8Y6uVQSoXD8m0LDkHeJHyBFISweUSnNuSBvKmCBSNBZMUQWOSeulJDnJy2ZlnTY0rpUjGSgXC2BAZyRPPHqt88C+/8q+//VvfIE5daP3UtvV/O2/8bw3wxfMHwNpXLM/dVxUIPO2ntR7uIAnpsmiZxs6AnuTp4Qzcmfxw75m8VqJov3JAF66OIgN1duDHPlcG8KwGI8vkZeytdVZ3IvE86eo3fEElcDNPakFCverA3ayHTDb7zE62eGR/j5/54DTPn1jH1inBTL0kTSqaesXVr1QrMdUgxPOGnFmcwlPCVUqKVN+SrkaJJI4Vm6YscRzRjippp4yhP0joDCTVnqLie/heBU9PcOnWmP/8z+b5938ID7+wnsRIB/DEEsVJyuSGYWCohJKBr3IJ5nngaSfRXJ2KRae5CClwlZyiOIZl0rA2zQSblNUzeZgmh7JscZKU3jeF5MzlZ2LzlTjJqzttDvg4NsTpHJpOL+SOLz1UfdmVO14hpfxacPzGAvyZxz9Hr6tr9937Rd9EPjo9OFrZ1LlwAEuEu4IzoDvt5YBujCXR5GAfBXYmQ2wOdJvJkez5i3w2KYoiKreKiBzcSsq0USKTJ1DxIPAN1YqlGjj9XKtGNGshk/U+66ZaPH5owH/8gymePTHL5knFbN0wURU0KpJaRVGrCqoVd3G4VH/Iw/sE3YFPRWVJLafBsyaExAiiWFOvKG66osMjzzfpRU6m9IcJvb6iEygCX+F7fqqfJ7lsm+GXvv8CP/F78OC+9URGEhmTNksXPZhDXxL4xrG3V9TRa5XdSWVKIeNkmuVdC+RZUshmAE8Bn+TOC2uuvCaNpYyxOZHlBDcCdvezOCXJekXieX2+/IXP+W9585tqH/vkZ3rvue3tf/cA33fwOI3JLZNHnr39d7UY3DJIIMFdYUq5IyFxJzWWhZZ2wCZl7OIqN0qszdolQJsc2EVTMKn2zk+GcAVFQqbgTouMVA5wUGnFoKfB93CdQH5aYBUkVFN50agOmWj0mWq0eerwkP/4B1M8fXw9Gyc1szXDRBXqFUG9qqhVFbWcvRMqQUyjNuCep31WWhWmpoo0eQYYk2rTKFGsn1G8/mVd7nnMuC6a0JRALql4koqn8bSP1lWkNFy2zfKL33+Bn/g9y4MH1hMZTZRWALqyV8fkQSTz6kJfS7ROi7CkQOns2JB/vuwizKSKyKrSKBJC43dTejSm9JivvAW4jVkN7AL4qWRJ4yslBSZJWFru3XL2zIk//M5vf88PLS+cWplat+3vFuCt5fP0Oks/cejIyW+Pu0s0G653EuFGFmcgk4Z0KE3qfKhS0GiKKz6TH0kuQ8jZeySQHGfuFOlZRi7X3rKIATLdnVUMaoWrz9AWz3ONxRXfUPETqpWYWiWiXhnSqA2YnmjxxMEhP/l763jq6AbWT3qsryVM1GwK7pS9K5Jq4Ni/EsTUgpDYDOmEAUK5GhxVKnayqeuTmLRALPKo+wNXLhBWmMpAPkjo+Y7BA1+6mnidbUBruXKn5f0/dJ4f/x3Dg/s3EBnNMBGEiUlZXFCJDIFn8T3Xu6rTuEMrVyKspEyPT9qVnz2WCrPyC7Mc64yBOyehEjGVwZ3HVdnrhMIJy8GfEl+JxKSQrCwvcmHu1Lfve+HpI1EU/fu/UwZvLZ2iObV5x52f+eOrZHyeWlW5ZS5d2qy1qAysJnVO8sBR5OBOSjXJ2Wg0mwWTtgjECqYospK2vGZmrF0OKrPlNu3QUWkwpXXaGZQWIWXVgxUvSXVzRLUyZKrZY6Le4eF9MT/1gXU8eXQDsxOa2WrCRMXSSMFdrTg7MQN3NUio+DHNesi+45a7n6jjS4mnTBrEFR5FtnxHiSI2mluvi7j4oi5HTlaZrZF2p7vO9d4gZWGt0NpLk2XOu75iB/zSDyzw73/PcN/zswyiqkuGxZZaWsMdeDiQ62z1Mnlvq1RJvsIpKUoAFyWQs0qvFCC3owDPKxSLlXetlXnUSCjeS2yaUM3+nLAIoXh23xlQj1z1wz/4fTuOHD19YvdFW7/xAG8tn8OrTOw8e/yhX6vqC98yUW0hlUp91OIAGCtQWWRdtpOsxSSZHBGrlrTMH7a5pz3mkqxyS1LmHge3sEiV2YIODFqlrK0tvjZ4niHwDIEfU/FjKkFIrTJkeqLHcqfHvc/BL/3ZRp45vI51Kbgnq5ZGVVCviNwrd86LceztO4BXgyFhkjDoV6god5FJUVr6yTSrSANN7bS8HrrO9EiUAG7w/QTf03iedFMFpJcDHAFX7xL80g8t81//PObB/TOcbTUZ1CWTiaURWyrpxIHAs6n3nzkpNmfvTKpkAM8/b/qhyzi3lM5DBnBKK64ZlZTGZhWLtnS+bX7eE1P+N8WqkJ3bKLG0e20qjcVvuesrDya3vvJl//rkybPHt2/f/I0FeNg7jImqN3ZXnrvNDJ5nerJKYgwmLUUtWDeVH1bmzJ1bSUrkksSBWqRLW5awGZUiZYBnh7isCvO5KZSDpaxa0ZaGA7myWE+bdMxEkoM78FNwT3eZX+7zi39a4/aHZlnoTjE7IZmtpOCuON1dSwPLaiCpBTZlcKe9K0EIhHz5KZ/lyGcmYKQeGzG6QiWJa35oBprXXdvj4QMhnShgIu9YN/hDV6vuawdwnTZkC+kSNFi4dJvkV/9Fmzse7vPzH9zA6YUp+pOaSV/QiA212DWZ+J51o+i0S3TpHOBZMJ6O6RiZSVMCuMh7RfLzA2MSsgzsUvxkSuAv5zFGGH5M+uSrXaK495FDTExvuC2o1f+00+kf/4YyuLVtoHFJb/EL/1KGDzLRSIjikChN1+aJgDyzKDCJzYHswO4AnWvtHNSZBLGFDTXO2mVZkh7ojFmydHNRoZgCXFm0dMB2vZ2uv9P3EnwvpuJHBH5Eo9pH6x73PJ3wh59t8pn71xOaJuubgnUVJ0ucBZj55Cq9i5S5y+wdofWQB16YpBdqNtWyzzPO4NnqJoliRcVTvOKyPrFxAO9HwnWtZ53rQ+OCQ53OhkntPZEm1y2CdZOCb39tl0Zwlg9+ts+9L8wwF1XpVSTN2FLX1oFcp3GIsmlcYlOQZ8dQFLXj0s0Wy471+I6CuVTJRlTAmDYvdw8VLJ0xemLHgD7yXOSyNTbQizWf+NIL7Np76b/8/nff/OS5hcGhTesq/+MAf/L50xw79BES1m32k+deU9WnsLVpBiHoWKWDc0TetZ0DXJVemzLYxagcybQ2aTJhBNgl66FsXwk7Jk2yrJyrGHSj3Uxa852CW7lajMCL8P2IihdSqw3w/R5/dqfml/94PUfmp/GCChsbgukgoRlY6gHU0w77auCynZU0IeTqV5J0JXDyZKGd0A19fKXwpc0DTEpfJbuws9qNMPaoegM2TvZZ6TXoRyIdt+ZiBc9LUptPpXancgAfCVxd5eO3vLrL9ZfP80t/MuAjn59lKa7TCzzqnqSpXQ1OoMFX5M0QOkv6pCufzKVKkQAqk8qoWCkDnZEV2Iywelmbj4LZJZAKYGfvxzatO4qhHXvMnVniqecees2nJ+c2n5pbORT1juPVdv6PAVyQoOrfufPBR574wHNPP8+//tYEYyMQoKSXdqxno89kCdRi9LnNsmGiFEAWAaZFlCSJGJMm2WexBZvIbBBnCeDSoqRxjRS66Mp3II/xtZMkgT8k8PocPx/z+3fU+dR9Mxw9P0Wz5jFdgakgoRHYNPWegVum4JZ5UqiSau/AdxdOsz7kkw9oDp2oUkkncOXtYhQoz8c4WKfDo1hz6Q54+/Ud/vBzM3RrmmY6eyQI07hBGbSW6dg6SiD3SpTqVoXt6yQ/9Y97XLXrNL/3mWmOzk2wFFfpeZq6EtRSoPvSugsndZny1S87rpl9iNPnRabTrvbJM2LKSidy33y1pVjW2zmgR0CeljOkzRf9WLASCYyA3ese5DXXXP6BWvN1b42ipa8pVb4qwK3tAVXmzz609WVbn9y9t76EkgqtInwvBVasMCqtNssAnFaf2TK48+KdjL2ze3YQRM4CBStktG1HdGAGbJGOepPZPBVpUtckY+8ET8euc0fHBMEQXw/pJCG//TGfD96xkTOLkxhVZXpCMe1bJnxDLWXuWp6+l2mdSipNUu88B7fvspfDKOTQ6YBuGDAVpC5OlnTKXIksC2tLNSmRplnX7NoaooIBnbBB3xdU05Fovs7GZziJojPXQ6gXCV4VsxM9fvBbetx26xwfvKPN739ihoV+nb6uUNGKmhZUlau/99NuHyVFmt0kXQ3t2kzOGnJl3GEBRmKpDNQlIiszeRanJbawliPrekF7CQyNBaH5tY/5LPRO7H7V9eu3vv0N1x0/txCyaZ3/twP4qTMLCDUxm4TiY1XxBW/HjoTESLSO0oylGzCTzfczaWmlsSZn7pyxTcbcJWCngC8YW2DX/CS2ZAfaHNgj8kRmw4ISB3CdoFWC70VU/BDfC2kNQh54RvJndzb5xH0zDJIGvu8z4wsmfUPdt9QCS80vwF0JJEEgCVJp4hJDqTORAtz3XObz2DnLvY/XCCOPoG5XBZjZbdRhci1dnqd5/fUdPvrFLgdO1+lX3GiGoWfxY/AigxcalJLOt5YCKWQx3IfieCZGEhtJLdBsmOzz49/W47LtQz5yZ4PH9k0w368zUD6ep6loQVVCkA1YyuxVmXZfCUogH61ZGS/OKjN6RlDjjlj2uqy1c/a2rtYlK4keWhgkgoEBk8RgE06e9/nj2x/wbnvzdR8jWXqZZzvzf2sG37Zlg3z4sQM3/skn75loBAk/8d4+vpddLQIpLLEwKGkcextJYl3N8Ai4x2RJfs+AnUqUMoOPFP6k2VGETRM5Np1hmDG4Se3AxAFcJbkc0Tqi1Y24/znBhz7X5M4nJlhqNZDVCo2qYtKzNH1DzbPUfEvVJ2Vtx9zVQFLxFRVfUPFJK/RMCm5D4Dn9rfSQg6fhTKviEiupvh1NnBT1M64PUqRLsSQMNRuagku29Xn2ZEwv8himM779EAc+lU3WzRI1LhlSvmUXT2ZDRomrD3/v6/u8+YZlvvRkhw9/vslj+5osdmq0pE/X1/hK4EtBIF0juJZulzoliotUibTsdw0GX1W/Ms7kJUIzjEkUCuaOrSAyEBpBaElb6BIwEcQhNb/Hd71pCdW7Y+LkyXfc6Ncv/xxfZXjQVwX48vzpYMeG6Hfecs2zdaN6xCahpiKMyeSBRkqDMUkKagdwa+QYsEvsnduKJYCXDsgIL4xIE0u5QN/JEpNqboOSiRuIn7kZMmK+E3PP45rP3t/g9nsnuNCuIyoVvIZHU8OE5zp5qh6p7ICqL9K7TEtOU93tC4KMvTOA6xjfj6n4IdZGfPmJgBPnqqybFnjSFNNx12C7vPw0lRT9oceODYLXX9vjUw+FdCOPfiSoeK5f1U8nSxWrlMr9aoQckSnuLotGBeP89mow5L2v7fPG6xf56/s63HF/jXueaXChVaMvfPq+RnsqH+nhSYknbCq1LApRkoaj9uEaZD7ighXMLfIANEkZO7EuoEwsRCmDJ2niCBs7cKd3X8U8/oLHwdNz9R/+bvk7M1PnLgP6/90AX2wZkqT/nYPelyffcvMx/HoX23cN1q5D3O20II1Kg8sM2Nk9A7TMJYmxcvQkgOudXKMmcCSgLAFbCJPagQaRAlzrBF9HVCoRg2HCgTNw/KziL+6a4HOPNbmwXAevgm561JSk4Vka2lD1LFUPKp4Dd8VzMwldmaks3UX6c5uC3OQg9z3XnnbkrOHZYwF4XrrM21KKXoygoByEuXppQZy4cc5X7hpy+dYu+8/U6FcEtVgQRJahIrX2TMremZuSWZCFVsl99tSKNEal0wfc4J1qdch3v2XIO25a4QuPd/nLL9Y4frbC/jM1wpWAONAMtEYq6dL5gE4fMybPpQtF8L/qlrspBagdW4vS8+LuPHNT9Iea2N1teidmaUVwx1caVL0u1139NLPrvvruES8K8OWVFRFG4Y9+4C/3T+5aJ7lhr88Nl0UoL0FXDSZKiENnExqrUu1d7miXpcCyNMIBkYKa0uMYvLNIPdd8LqnhJIlJd3lICAI3STVOEuYW4a6vaI6crnL3I1XOLFc5crYOQYCqaSpaUdeWujbORfDc4PyK58a1ORBnd5neVQpwUs2dgttLCDzH3u7CCjk2D/uO1/DkqD2YSxSKevDcUcicFJP2NcYel+/oc8n6Hs8djenFHo1IMNTgx24moCoBXEqR7mVUMDmMWnC5DEpk3kcZJR5Dz6dZDfknbxry6qvanFlu8+VHfY6eCvjCEzXOLlZI+h5GaiJfIaR0K0XalS9JM56Qy5a1QD4SaFLOUmduS/pu1ktrDZC4MkSbOIBHBqIEoROkMtxw/YAbL2lz5ZZ7173lLf/2X37v4MT7VWXHmuHbiwL8s5/7PMMo4cN/3WI4WMeujX2u3B3xmpcPueyiiC1TCRfvCPEQmFCmIBckRq0GedrnR2mUQ9FeNh5Y2lLEXrB2LkVUghckRInl6CnBs0cVdz1S47ljPi8cq9IeBgzDADwf1fQIlKCmoKYN1ZIPHOisTiMrm3V14UEqS3xf4fsyvQBsob29xGUWPafzK36ENSHnlyRDG6C1xJcWXbLZxgg8B3lScpyS1A8XaGanQ6Qa0I08elo4pyMqCsa0MiMZSClKUWw27AiRS8WstSwbjOQlKh8/0Rv6bJwK2b4h4rqLhvTDPv/0WIvnjvvc9XCFZ49VOHqyQhQrCBRWKhCSRJayQXmSYg2tMiLOMx84ezSlx/RukvQAJRAZNIbdO0M2T8dcdlHIrS8fcuXuiB2zEA50/flnH/12a733/3cxeLj4F7TbPfX4UwfF6665wF/dJXi6XeHZwwFfeKjKhG/YvjXmyr0hb7phyOuuCcHGeJ6lWifV2RKMII4cq2eB5AiDly956wBNOr/E0xaEG6kchZbewDH68dOSP78zoBcpnnqhwuFTAQtdn2Hig/ZBeaimwpeCqoKaslQUbpyZSguPlGNt3xMu6VEGtyfxU1kS+BD4pK6JS5l72uB7cZoRjahWQi4sJ9z1YINWJ2BqQqBTLz4r+hIvxmymFBAayXCoWDejePNNA77wWJ+TrTp9TzqZosGLLV6Uedapxy4TZxdSnnUi879hrC79DQd0P1EkWhF7buxDFHnOSvUi6n7Eq6+MecVlQ975mgEHT0me3ufRDxUfuavGsTkPhKTX1yShyso3sToD+JhlVE7fjgAcsAaRWIQppEm1nuB5BmENr7t2yJuuH3DF3ogdW2MmfMu6ppOokZF89IGEe589KrZuu1z9l9+7I/7xH1w9xHNNgEcJVGq1375q96Grp+sthGqC1BghmO9q5tuWY4uWB5+t8bEvJsxOx1hjuHZPxHvfMEgL2GF2wnDNlSH1SrryWJHnwFafc5EP52n1BE8/o1lsS6oVySP7PD59X4VBpBhEinNzPkZoIuthhAdaIwKNlhJfCSrSUkmBHShLoKyrAdep56sL5vazvswc3Crt0RQ5e/uewfezAq0kZ2/fj1Aq5CtPKj71UAPla2e3jejvF2fwzAtPkszxUAwGHu+4uc/tD7T5yJcn6MYV6qkO9zIdHmVJGZt3Cwkhc4C5PyVLWr8EcJMO39GOyT2tiLVGx4kDukpQyg3Sn6rE3Lw35qa9EVYMefdrewwiN87tb+4LeHSfTzUQLLQVTz/n0+7JVCUJXlSU5ztPuNbAa66JWDeZuNrwxPLeN/S55pIIa2F2yjA9adBZw7aRJKEkAaxKWOoOefCphav/6WW13xbC/uDXxeBz53vUZqvNj97+0b2331lRt39pkkh5WeqQLJYxFobWcL5lOb/iXJqDJw2f/oq7Em1imZgy3Hh1SKPq6oDXTE+WL/XUdVjpKh571qfdUkgt3UwUqx0zCe06K6QGqZFS4knhwCwtgTT40gHBV+CrYkafA7koGh60awTIGo/L4HYMn5bVehmDJ6V7TKAjrA05s+ATDisEExJfZYONyH3kPIuZdfQAZes07043ijDymGootq0L8cWAfhzQjwVV7VLWWQ1JltBSslzeKvO/5f5GlmwzRfbUmLRnspBGcZykeQOVzmWPieIEFblcglYJUsZsXWfSFcNw2fYBoe0jtaHVEjz2rGalJ1G5YhkNqkfOdFqMVa8YXnF1xMSUwcZuZa8qd+xAYIzCxJoo/R4FUizCSr7zDT02TZ1W23Yt733lq76z+a+/p9MWqvHVAa6Yo72k3v/4k3Ov/dSX63QSD7QhR/aIqCovOxBbQyvTVMrSXrGc+0q99BXXAnhZv6UnRwhMtuUCac2pUEWQI2VqZWWgTtPOknTj1sw3Lj3qtJNekW69Rw5u19al8FNw+5q8xNQxeMri2uCn2VHPiwiCiFMLhj/5Qh20n07LLSV4RsA3SmQZu2YlDg5sLmgPI4/3vbnPX9/T54XzDbqJRy12m9K6KkBbdOKoLCdQDvay0sVMCslSgVd2N3ktjNYKL3HzUrwU6EoWSTNXN54+FyYdHJSghUXYhHU1wze9yoBIUpkJiGz/jDXOeV5jJMAoTKTzOC2OJBFFriSb0zKCGOFsl4oWvObKHvvmTr320LFz77cm/uGvyeBT/BkK6e/euB9fWUiq6SU1vs6WAGvHwZ4+KkvilcC9Jr7LvzvV7qXgRUiZt6ApAZ5waeVAuGpBT7rXWpLWVKTd41khkaY0B4V0Z7aiq74AuMxlS+DbvKXN901pcE6Ml7K3ryOkDDkxJ5hvVxBaE0hG5Iksf63S6S5LhxHgpU5HGHvMNIfs2Nhn/9yQfqIZJBAkAi+xeKlVq2JyZ6lIoauRToXsNDnrNuuiESVpZNCJIVESpbPty1VarOZcCyWLu5AGlYJcZH8bNyVLSJu7XhnQMwes/P0zgBfJveIxd9pgzJAoiDX7G1pZDH1uv+8gB/76c77bfOtrAPzJ/c+jFTx5oEs/ngSpEbJU81BaZkdxbvMi+FGq+mqyhLQrp1RYLwSSIkXsplKBJyyeSEGbSoDsef5eSvZFKSh5g62vhAP7CLile/QzoGfBZwrurPtHm1yieNrpU9+PiIm444Eq5+ereBMKv1zDUXZQGFOk5dR1qTAtS/oMhm6C7dte2eWBZwa04wo9ranGhjBNpytZFERlBWdCGIrOoXLOoWwdpjNVLCTK/U1tBLES6ESmu9i5Wp44BXqRTDN5gk1KU0q8mXz7xwLcqc2b7xVjS3w+SpRrAbpIFhWSK/svs1gNEip+yGVbT7Pv9GP59LAXBfgvf/BOHjxTe9Udd37u+nsfO8dQePhaoVOgpfya+5kZtrN6kryuBL7mxiu5IMmSBQJU9igsGnKrTaUpYzffpNC4KgO2dPvJZ6MQysDO56AoXD/iWgDPAs5Md+tMlthUb4/WkvtehO+FzLUMTxyugvbRqTzRpQKlLNsnxhDumKpUdZf3pcrcE48ij2svHjIz2ae1XKMXK2oKvNh9F5W4AUoqKgMcB/L8D8mxSk2R9k2mdUPKlVh4RpAoSaIMiRLEKcjLxWtZOYTMQF4CdVYyITApyFNA55noImk3UowxUr9Sem3dP87wVL4IHAe6353ECs+Dd7064Y03xtfvuPgfvSr+xdfeX51979oAT6KIsN/7poWl6jVh7DFdUWhhkfnVOHLhkRF2dkhN6QIyrFYkIrVPymZSdpVnWbECHDZn8PESTp3VRqQ14Fmpp2suzjpVnCxRefdKAeys+daxd6q5NbnezixBx9gFuL28OjFCEPGZ+wIeeK6BDDS+FG7+dl5BWLTRFcduPJtZqp/PZwAqEqPoDzxuuqLP21/d4fc/0yBMArqJpJJYhjHpylWu+jOpnDNjF9SLMTkYLdOGX5GDO1ESpYxjdCnT0RKmVIpcrgEqbdw7km3OmLwAZP6tx8sWRph69Hmx+IsXUbeWYeSjxJCJZnBNv9//Jqy5v/xvcoAfO36aqcn6mz/8l1/8x0n3AluazmstF82Mn5ziuS1AX75Ax4unKORhGdwZAGQJFJKi5qE82iBjbrcFSfaalMHJ27BGWDzthvHUKLjdOIUx5k57Nv20vc3TWcNBXLpHhET85ZebJDZA5dnLcoBZ9DVmzsaIBmesXc9INx0qyYJNjcDjva/r8ad3DFkxEf2kQj8ReDE5i0tpkbHIi86cXTi+fsqSNSlKIBckOh3doFKQa4syTq4kys2UVEqm2WOZlyYXFmW5urMoY86bUnKg2/zErwL4eHhmRbZ1ag5uW2LzMsywAmN9FjsDJhLzjzfu/Ka7V5bOfGFyessowPvDCN0LL+50erujfpvpmr+qVy47MVmqtQxqC2teZauvuhKTl+RJDnQxGqDlWnxMc2agL8/2UEoUWjytuBsZdpMCWytROCm5Heg67l1jsk2ZuwgwdYm9Ay/kicOSQ2crWOWhpMSXJpVyZYlSLFfjLkp2zzudSs0hmaMSxR67N0dcflGXhw5WiZRPPxZUJHiJRccilW9pF06c6nCkkwsjf1KUWFyUpFExyiObCamVScGdtrMpWwJ3Vgtk0zKBjMnJVw9RAjcim5j14uy9Bt4LoOf4KmQWFP2/7ntIhsMh1anebsHgYkH4hVUMfmF+mV5vQK/Xd8u1X57mWu54LuZWFFfWGsHDi3zssjTJAV8GegncKq/5Lmy3QrII1z0vCnC7IFPk3eI6B7ccAXh5+I/rticHdp6tzJk7wdcuseO6giIsER//co3FxSoi0M53L1+EY9IkPyojPnjRrlWu4869aaOIIs26acl7Xt/hicNNhkmFnvKpJk6LZ+WsSpKCO1srTOqJl6MhuQooI62E5VFrRqLyee42f+4ALtPvafK2uazLXwhZNEeMM/hY00qR7ltNiy8mV0Y/e1FPb4wb7BmFA/rdRZK4KC7MAf7JT92OkpLz8yusm9T5TLnIlNr9SzqOtBpsdMn46hyeuTCFPBl7LAO6zOIj48UKxpZlBleixOKZXJEoPQpwX6cDgLxs68A0w6ktXp6KN+nzZOSulevceeEEfOzOBkPpo6RKs5ejF+J4BnP80h+JYUZ0eKrFE0WcaIJE8543DfjQ53o8c7RKpDx6UuInJnWPBDKxpeNkXXuZKK+pJv1bo/sWlZk8MS7dYTIWT7KxEsZJobxvM5vLIvILOh7T4+58lovlKDF5BvKvjpURYGezEce6whIjSdJdI8JI0zp0gsPHb6dscWiAM2fn2LxpQ+23/tsHdnU7ywyqgmHstnSWpeGJ5REAjDQrfO2bEOPPV2vvF5coxbTa8XHIssTYWZCZTW3SOtvkNdXeagzcWfreyxqTjZsZkreIZT2dcXqPUF7IoTOaTuiD0qk8sWPlseMX7ijCRwcajXnhaTdOkfjR1D3B3i0DnjkUkpiAvvGpJK5mW6caXAk3ndUlljK2LCfospNeFMFlHe46H2zq3lPG7cKhDWkHkUWaYkJANl0rybr7cwOgCC7zwHPsfGeX91r1OeNdE6MVp0XrYzZyw42/k4SRpDeQDCKY3bhu17ve889q58//096GDZscwPudc5w9vfKmS3bN/sShgy9QrWjswKV3RWJzd2NkbkV5VABrLDZ2DNQl9s5ALkgrAFgtT/I0tyjY2smW8lDNDOQUNdKqBGo1uouxp0i9cAduB+BiKJBXlidl9lZpX6cfstQx/L9/1WCxX0EEnpMn0o6sKsXgnK8h2vKaI5FWi5YZ3Dkqcaxp1jQ/8q4OX3qiyeLQJ5SavpT4aQ9lMfIhZfByPb0weRmtxaTgNljkmLMiUga3eZCegV1JkTK4k0RJ7qKQy5RChxfthIVMyQLPwirM3rclbJSPS46nvEivVGJcSlS53a4lg6HiwvKQmc1TP/HMswfuHwz7f50zeH/lMezQI+qfQRAjhMpZMlsqhCgCTrkGc6+ZzxkD9DjQR1ibIq3t5uSNS5TRwTQ5sKVAqmL8mCqBWkuJTiWJzgGeaW6TB5WeNjm4PZ3VX4yyt6cifD/kL77s8fyRKkgPKSVBVhpbsjbzPeLTL/mi1YQlNjelpTcDeWxkusmTx5W7e3zLq9t86HMVjA7oS59Aijzpo6QgKgV040wuyky+aslPga5AWbcquAll5LMdVWkLGncOilk0xWRa18cp5Kg8yZ2VMg7GXq86PiNMLvLkWDkoj0ulBwjBYBjy1AtHOLkQksRu60UNcOq8olJVHD8L5xcjhHS/MHMryMBnLTJdzr4uaVJySxyus8J8u2qgzIhnnAeWomDznCG/FsBlAXBVqqHWaV2KRy5FPFW4JV5pOFChuR17e9pNrVpuGf7mKw0WWgFUUvdElIKxF5EoZDUiI2fvRWy7zDI0EpNkbopmqqn45tf2uP2BAYvdgFBp+olM7UmRujeiaMaW44kVx97ZWyZnc/KlX2fOikqfy/R1Ov46O+5lkIt057xcSqbyxK3OZT0uxuRKRpxrAGbseRZgksqobIBUkrhVSODs3c2zholZxfQGnyR2v0Xf/fDzrJ+d2vn5Lz36o5+/5wK+cFtf2LKVJ521J7Mu+FIqdS2gl9naMnays4tljMFH2HvkYKWJkxFgj87+Lne4uOHujII729kgY25VYu5VDJ6NmyhGTrgxGSHHjgsOnqhgCBBS5825RfVgOX4QJVej+PLlWpTyybO2nLIvHBVjXLCJ1Vy6I2T3pgGL+6vYxHcsnjiZoksuTsGe5UKvVHBnZbTgXueNKSlDymLwTjm2Uem0YJPukpcntGRBRjm4jUhnqWSaXIxJldHG5fzIjBDBWNdXacUpB8jZoVXKMt1U7Jw9xRVXb/vRyc03PWWHTxzXFU8grdnYrMg3D7rLNKer+fKZfYgsPW+FkydlOfKi9VOla3F8lkYG6HIqe+S9Ui9j4UyIUrBZANoxOOko4LIPXr6nW1qrMrhLIE/3q/fS0tCMvVX6WusIpSLueKjBoYUq+IU88UrW5cgFy+pxEasWuHKOoTRtwJR3N8vKaEPNRetC3nZTj0dfqIHxiBOnxb0kze4mo1KpYM5ylJSC3NoRVyJ/nspSK9NVRWZ3d+yTdMWQImV1k62wxfY1RcKn/Jw0+SNKMrUsU16k7W0ssVOMHCnumR2ZWMW58202t4I3+xNyYzjwj+uZhqZek2xf77F3R4XeUDKMDMakfzQrkimtHF9VmpR1d/rpX9QezA5CdiGNBWgZoMUawM7ZXIlSE24J3Ol8wmLbDlYDWxcDgvIRb9qkII+dPFER1VrIQwcUf/2VOv2BDzWNlgJPjEqT8c9f/s5rAhxG9feYZVj2xaNYM9HQvPPWAZ97oMcjB3xs3aOfBPiC/EJT+d8vdPBoOOdAXq7tcMFneoEpx+aJdHrclFg7C+pNGlxKI0r6W5QC3dEYqijUK/Dk3hNrAP2rEMII/sRYECjoh5ITZ6rMbA+oTGh6PQ89O9WlUoGLtva5eHvME/sVcZxFvGmaWZYurPIvHWPqNRlcsAbAxSjblRyT8vNciogC1FKVdm9QIq1NKcBdgDwrm7VoXYxQ1ukmTFqNAt3L2drdlXIBpu+HRGHC5x6s8cLJGngeQqoUVOnckFJwKeToSR13jXKSyP3ddDLryJi7bAyezD3xJNGEoeay7TFveWWXp49XGcY+ifToG4WfMPZZMi+cMQZ3j3bss6Cyi81glEBlTCkFVrmVO9Pj+YoqQZrSLENTrBpyHODjcQljwP8qmc4c+GPkmr0vBUht8YzhyNmQdSeHNNeHtDsh+uFHPkitIjl4ossXnurTWdGsa5IXLAmxGqgverWtck1Wj99di7lHQZ0xdjnALHYgKKRJySrMGTsDeDE5NZcoKXM7xrY5U+v8sXjupcGlVhGBH/LcCcEXHqjR6/tQ95AiqxykZA+ukcUsfc8yFWQlD+6MCUYHyY8lfEoFWGHk0WiEvOXmIbffM+DpowFon4GR+KkWV8ZtsFuWBiIhlwckY6auKpZ6rSiki3Rsnq0qWZCfuWjZDh5KCoQpuynpOTcFs4/nOFYBfAz0a+FLjL0os76bRWnZPDtgonmeh499licPPYpWEfp7fsl9+SSqUMVj+5S7Ul3t6ugHG2XlUfpe9UGz/8uvWjFyBa/J4rIE9rLmzkHu9HY5m6lUWmGYVhS6dq70uS7PBx8Dd3r3sim0aYG/VrG76wjPi4htwmfur3Lvc1WoaJCuodkrlfCOlMaW7+UXa9xGtCRZOSt5M3Jis7kmBdCHA4/XXNnjba/q8fyJCnHsYYWiLzReQv6ZRFKwePER1mby8hB7pTLmdmzuXgukEbkOz/3+jNGz1TYbCJV1N46BeyTgzAnT5vhYteqvItRibFw2skKmzK+kuzAv2xHwqpfNofV5d9FeMlsDIUmiEBH1qAU2t+Aym7DscowDeTWoiw86rkOzLyHLAC+1dZV3FhgB9ohUKafpS3c1Bm5VuutiE9QM0F4J1Jlz4hwT96hUhO9FPHVc8rEvNwAfpIcQKu8iUulGquWsa/lYZUdL5HRQssFKSbIRf7dcQpu41j2XuVN5+t5azXtf1+euBwc8dsRNEoiMopeIvHZfCtIUviiAMXKtuc9irXUsXgJ69lOVgt7IdD8fWyRb8sxyaidLWwK1KQ3slKWLfwTcNj9G40kxUfqwqwLR9N/Z9EJCplvjJIJeXzO3MEF3oPE8jTEWvXejqyMYDCwr7dLGTam+VauuwhKI19LaY2AelTilKatjuruQKiJNFhTWUwbwfE5eGeRpa1qx2ZTb2aEYgF+Ae4S1S49ZY20mVZSK8byYKIm5+5Eqzx6ugueBdMGlL2xpcmw5sBKrAqtxeZKBx5ae5A0QJQtspLowkW6CbyJJEs0w9Lhi94DX3OhYvJ84Fh8Kn4EBnYgi8EsyuzBNDyali4wXKZyzaZJPubyHsrjspxWItJRVWlFIlVJQWbB3el5N+cIvzXVfIw8yosNFiR7GcJZ9t7yqNbU6EyPoDiTzK1WQPliLnqgrlJR4ShJH6SdltO5jXC+7v5OlgkssNb6c5CAXI18st6/GHJPRPWLG6k8E+d47+e7FWfPtSMNDsXWJUmPgLg3Fz90TlaB0CeCpRPF1xKFzgg9/rsEw8qDmpfKEvDVNlXcJzi/cgm1G9MoqfTIK9LJMKW8OYOxaWlxTDyTf9ZYen7m3zoEz7uJLjKKXuCYVlaTJH4STAUk6lmNsJcmK5MoAl7bQ4jLV6NJYrHTnyErhAG5KsVLG5KYcS62xspUBLUpYyWTKGjHbCIkKZ3TmxFIqFotil743eCA8wKB+4Zd+ZQNC/Zfjx09eKkR5U6LUpRCyJBPKvrRM60JEXh+SBYdOI4/uU5n92/JdZUufFGkZpkjn4ZVckbF7NjKh7HHnj7rQ3c5BGQV3ea+eopgq3f1BR3kzg6dDEhnyoU/X+NMvTEIQgKqglKamLFVl03EU5A3OXqk1rsiklhNRkmIyLCMBahFLFLZjdtEKSdr4W/RCKmkR1rBtY8iZBcnjz/rEwk0eMEIhhCulXSvuGXUqRLkPoXhtS6ImY0nK8qW0+RTlizOd/529t9a9/N+U3CRDKQ9gRUm6FZ1ixe8YHcOdr3jpduJgueKqqze+/OU3fVGfOnlqst3uvHUYhgS+Hj0QJUkiR9i55A6MSZA1LaCx3zMqScoaPF3qyqw9UgduR7S3zMFQSBJV0t4q3+mhtBGVsmOSJKsUzNg7wtMRB89KPvqlGm7+imPvvHM/+/uCkfHCsvS9y4GmKL8o1fGMgMOMl4OWNgrIsppWYhJFolItnmi+7fU9PnV3jX2nPZAhVkgGiYcmrRfJjnWSoiTJEj8ZVEvSydq0sMkV2GWfLUvuSQsyLdfI2FNa9zesSf1xkwaoI6vzmFmxSpqMvZexOcWxc2kZO/ZvVpsXICAJ6XU7bz137vSkliJCyThNiJS2jxtfIkp2V1nwrwLzCOjFyAce1dvjSZ1R/TZSA54mE8r7yBQavNgqMNtZTY2B201kNemjswOVMqjM71YxSsaoVJ4kKubT99fZd6jQ3lJI533nHTSseQIF469zbhzR4MXz0QbkEU+8VNivjXC1KbJI4YeR5rKLh7zjVV2OfDQgTBQITSI0fSHQSWrfZRIykwJlmxBbhMCpXrJWoFJtC06auD1QS59R2CLFL8BIB3yTyZSSD14GexmMRTxWBujaoM8wWP55puuz45v9/iSBVjfGqgg9DC1R7AI5z5OjXjerf/GaAF+Twct1EONfcHUiYO3mhlHWzl5nrJ2BPWPuHOiqzOSF7lZZEJltcSINWhZD85VK8LyIo+cU/+2TTQbSI5ugVXTNpytIuQa6rCfF2MF7kVu+H1GeJnd0Wd4Fowg0ZV4rnoE7MZo48QiSmB++rctf3V3jyFkNKgKjiYRHXwhUUjgashxsjoE88+YtoLMLLn1PWuesWWzK2pknbkbY3KZ/x8i0MK+8Mo+RW1lLj2vttTzxF/95Kc+QYci6yWS1CuhsBnbFd5OdimxRdmUUv7kM5BcD/DibrwouJGNfeqy5QZakSom1s0TKKLhNIVHkKIPrEX87BfOI3126S8fing5ph4bfv73JmQsBKJ1agzKVJ3bE986fj52oVavWVwM6ZU2aNR6UezQzHVrMXs+bIaQiiTVbZod8/7d0+KUP+7QiFxBYKxmadORHkn0OC4mgUNgFyIv/dz9R6VWYzm8qHmXh+EhpCwa3pXOXWoY2Z/AXCTjXkidiDYCX8Ze9v8Zxtbi/ba1gGEqGoUQ3aopoqJhoaKRUxEmxS235VvjeYo0PIEb+aMZk5aUIGPNE12buDNgFaxdTWnP2TgvuC0CXmFyblNFNLk2cHDElqZIxdpw/ahWhg4hPfCbgAx9vMjSekydC5fIkbyoes8RGdHe+kpUP/9oQtwWBlqzCMuizlL3FpJvu5qW0qasSG01Fx/zgu7scPOHzwU87LQ6KREgGxgWcMiFn8KIAKztZReq+bFc6UBeSxdqUzUURADrSsc4+HEn8kG7FLUYSPCYjOcb1uPiaUmU8ASTGjqXbUACGoaHVMWjfordtSGj6hta8ZaUnGIQi389wNcBLenLV1beWPkqfp2XI47UJqwtz7JhEsaUgM92iu7xloCq7DqYkVTIwl5hcFtWBue7OH92swaVl+Ksv1VgeZuB2APek095ajMqTkVUns8tKeC6fjBHGLlVk5skVy2hV3/jWi2asTlxKlFEYo4kTzYSfcNsbenzq/hqLHQUyAqOIcHp8vLpw9JJ7cSZ3eaAiKZTVp2TBpk1ZPAd06pMbyxordVoSa91qYmR5gL5dE0urmHsNRodiOkAYJcwtRDQvxPRNjEb3QHdBDDHGd1eWFHnb0MjVUmLsta6w8eVlFdjHvrD7W4WOLZyT0ogIaUe0d2GlrQ4qs+E0BbiTkQAzCzKzfW50ib29WsxnvlLhkWermJL2dk0NmTwZrTfJW7NK7E3p+5Wt8LVJPGXPEfvLjpTQmhLw86DTSpQtfPE48dAm5hVXhrz9hh5/cocPKgQhsUIwNBolhNuCpOw5j8xCKGnykg+eNbxYa/MOL2vTwJMC8MbaUea26cjjUkuiyUgsY2ub/cyOSdq1gSxKPxgHfe74CAEiJhYRQyL0vU8rlhYlRw8YNs4YPC1HpqIy9ovWej4Ocl4E2DmLy6KVKXdOZAGY8VaoMrALFyV9rSw6HTEmZeqYSJvq6pIkyRwTWZIo0rkngRdx5KTkw59pMNfx3X7X0o2MVoJix4axeGGV7i67Rmuw9/htJNFTYvZVWy1mWzCOdN27/XPco9v+ZEM94bvf3uX+ZwOOnJcgIkBhkAyELG0ilYIqBbUYuQoLmZT/f57NTM9Dmc2Fe56BOZMt2crsfpbNfs9kSlm6ZJKuVME60r9ZNjMK1h1XFNnxr1UlN1yuuOJqw+RUjPZsgDIB1minu0t6eNVV9NVE/9jVlx/IEaCPDffJA85S5VteX11ibpUBfgzk+Yzs8edJrr0zFtfZOGAVo2SCTm1B348YJobf/Ysm9z5Rdb1tUjvtLaXr2hHF/JX8s2Yry/hqNcbkZZyPaMacKcf88BJ4Rstny2W0rt3MZI5KYoilRsWa11wX8gPvbfMzv+szjKXLQBlJnLoq0ojSZ7MpgEp61IpiiGWmw6XN4JUXZUmZgl7aNMAU+QVgU7aWNrMIbe60UCKHtVf+ohPJ/byIFVbr7zLzuwSaW5h8ZFJFJjX0lllFRWraCx5BoPIs2ovqnTUE/5rMTQnQ8CLuSXmwzxrsXdp/Xq4lT6TNu73dttmmJFFKY38z3Z3OuM6DSxnj+TFffszjU/fWGIYeVHWuvXP2zgNbRu6rmLuE4hzsjK6EZYSXC5uKxtoyuMGqrMpwtFY8MRJpnFTJgB7Hmmot5rbX9Lnz3j53PaacbYgEIYmEpp+RT8aOFAVZ4Fi4PAe2sAtLdSkpM1sJKv1+2WubSpMM6Nn5tUI45sY9z1l6jAjHifLFZXL2flFrY61gYAVn+4LJOUUnVOhmXZCEgqmmTJeU1Vp65BeW3ss/TPn99KobYe9S1FyWJxljjwSVGdhlybHI9G++n7p7nWvvfBJqAWytxoCuCnDrFNy+F7HStXzm/hoHzlWcNBGuJFZk2ltQmiBlV4E7lyz5sRAloH8VfZKB2zrWzCy58RR2Du5Vw4GKGhUpFdIkSKOJhpo9GyPe/uouj+zzaYVp+tU4PR6iyPaBkKTe+JqDP5zGVmWnRzq3RaUtbQWbZ1IlTfiItIY8B/poJ0827rschxW4KjdqlLFW1DaVb9lK5Aq7LFEEgzBmpZuggwRdrxjCqqFaMXlwM/IL1vyFY+AvLXEvFlwKStk/MnkymiwpAswC2AW4Mx+8CC5lPpjdjjD2SECZJXLKLop0nfKGhD++o8oHPtnACu187xH2ptDeI9bgaqCPa8OvqsFLsmSEJUf0dzFkabyVLduy0RiDSSRGOl9cSUOUeEhl+MF39jh81uMDn9JEcQFyg2AoJMpkgyRScJdb23JQZ7oC0slvOWvmY9QyoAsHZJn9ZyKVKrYYMUEaA9hcqrqDY2zxemQq7RjQXnQ/zuxn6bcZDBL6g4T+0KD7QwhDd0o8bYvs2tfBPznY19RSjFy1BduNjRkrS5WSx50xezETL/W+xxwTmYFbjcmTsT3rVbr3jNPgEZ4fcXhO8qm763S7HlTVavbOa75Lq4soEjwjcmzseRYcfa1jOLI5RhnsjBYfGZPVe5SALjOgS4x0WlxKTRQlNOox77y1x+fuq3L4XJpUcCOcSISgj8hXG2HSs20LsNsc1KlbQpr8IVtwMiclS9079nYz3kVJnowC3ZYlHbaEGUFZ0q4V432tW7aiWKzbycMTaM/z8TwPrdOlxq79H75Yp/Eqrb4GqCEFsSyAL0uAl2PBWzbMUZVYvJzYkaI8mD1zTszIdhuyJEukTB2TlMm1jhlGhjsfrvOlJ6tuOLj0HMDH2Dsr8lJCjAbDlGqex5lcfP0npTgxJaCX7sak2cPMSUm3InG62xQyxUgSIVGJxAhFNNS84ZqQN7yiz6nPegyNTG0N6bZ3RDMQIE1p2yohcgM7S/2o/OxmjkpaKy7IgY8QBdlbd06tSAPPEaCnf0uWMVJqks6ur/Fk4hqgHN9IpHjqhsZqrQkCH7171+aVUyf7n5s74/2jMDLFpWPH/ltbJHhHAL5GkfqqIHOcvXMwFwFlebb0KtbOgV6UjY46J6P6W+Xp96T0PEZK16kj/Zh7HvP55T+aILG6cE6kQgjp9gESRVp+lMHLjs/a7P11JDFHDu7qMtJyA0TqjZNNvUqLsUThqOSaXDpvXBhNHBt8P+Env6fNgdOaex6VGF9Q7kWMjKJPWVDZkixZQ5PnXni62mafN11tMx0u0gvAUIySsKXzLxJRwkV5UH5WrGdXsfiLAbyMzwzgUngor/65mdktK+qKy7Z3L1xYPJIY8QPWxqW2r7Gt8MqVfqV7Oc0+kloXpP2T5SRNUUdSTrvnPrcqvTdeHVgKKPOCqhcBd1mq6JGEjuu1PL0k+OUPT3D/k3W3KY/005JYDy0FVQmBJN3kyq6u3R65pw3Q+ZCc0WFEWc27VGMN06uOW5oNzY/hWFa3TAalOYBiXOqVf2Zh3UxMoC2PPOOz0pdjS43Mp4gXFYcU1tvqCOzrWI/Kg3pGiTIr5hplXDEai5SBu8YMFFdtmWUubf6YlFLDzWaVdmvpuw/s339Ad/vuQ0kBlXScsEw1mKtHduOyyp7tqq80ortHtVV+4CGfWZdLkxEXpbwtxqg0kWto7myHgTXvqhxYpqWw6fPET/jw7RP89Vfq2IoCoRw6hUZIOdJvWfQ3fpWO+fw7Z9pkzXO+ygNfa4UdAcRYt/14h49J5wfalLmtNUWNipBIo0iERvYTbnttnxeOerz/DzRhEJfsLoE1HkNE7kIghGtryzKV5fBNOEAqSd6FkBpALthMA0gXaIq81iRz5jIzwcKoNElj3PyY5lJlDWmSXwQ2n46bNUQIkTa6eIJK4FY3PVl3U2SlMAQ6QWv3C5J0OUwMiNKg9rELcESijDooZZCPjhQbdU7squcjYM/8bpECvKS9RxhcJiUnpQzuBFmqPbnr0YA/+mydQZJOwReZNZhmLYUd0d5rpubLQC9/71US7WuzXzZzL/OeV2U0satKaK0sZTZlyVkRyrGaTIuzpCExmsAzfM/bujz4tM9dTzq7MPPGkQJjNUPj2tHyIpJx6zCVLrmUEgKFTUFdArl0oBOp5jal41cAHUTZOSkfr5GRy0XAnh2tclLMpNNwjXHXpMOxpdpLsMQkiUVfunMJhCCJE4bDiMQ4W2kYui2fBYJE2JzN11yUSsw9CvYSSzN6FZeXVed7l+zBMrhFsbOXWqXDzagHPs7eMikCTB3RG8LP/+EER88EWF3sljyivTOJ9CJybJXmLr9XPhlrWgCjIB/XkaMZzXLxVVmPr65NMTKtOJRlFleIxCCERoaGi7ZE/IfvbfHgvwvoDNIvY2T+uRI0A5t+xqy42xQgtxIwKagtucOi0oAyA3bmqIi0JiXX5iUSyIFeYnBS5h5RA/lhGz1QFve3EuMCyjiBMHF9DWFkWRoYtJ9gjUFftjdGKsmg12dxvkunV6Pd87HWK+oh0rxrnpQYWXrt6IcqSxS5mrlHH0sB5poSxZR88FJfYsrmOXOPuCal3XlTz1vriDiB3/pEgyf3V5znLTPmLpwTT4zKEiVGWbscg4wzNxn7iGLo5lp8vYrJx5yTogGCopjJumKmVdWGwjF4HnQa6UCeSIxI70kqVYzh2ksjfuRbW/zaX0wSJimLQx4VJiiGJtPiaVFJCeS5RBGlShWRJn1Mic2z1rX0tUyZX+JAXK4TX9Vxb0XmVBa4smOHK834um1fIEos/SG0BoL5jmBmNmCyGhBj0JXZ96H0JHb5AbyVP6VZX09iJumHuiAjQWkAZ5FlGrnSsg9JkQwpM7Urtil73sXOXEqWAT8uU0b3ZyzYOyl0eTmpM3JPA8tKwhcfDvjgJxq0+p7zAFPPm7RJ1zknRdayXDBU1uGF1bnGDMKRsCwffDcK6TVYexXeR4BegHyUtdOpsJkkKSeBhLMRE6mQ1rh6lVjRrBi+7909Hn8+4M6HFNRi8sIRACmIjWRAFlMUILe40lhy29J53mmFgWPpTMIY9ytVSb7IEqMLxKqmiBFGzy6CDOzjx2gsIWkMdIeChYFlGK7wnW+/ldfdci3LKx30k4ebTE82uOv+aX7/z6b5rjcIrr9EEEWKJBmV+eOJi7IskWQn344yNna1NMm1rc3ZW4giyZPvxZjLlGKHXQfwZNTvls4KlPm+6i6wlDJG6pj9xzX/7WNNDi/6rg0+9bvdoyzYu9TwPALyteTJiDQZ3Y9e5P+3xi2TtWO1KAWLF4mVvBGCtdL4Y0OCskIsa/JNZUUmVYRFSI2MLLunY374PR2Oz2kOnRFYXRZYAqRHkoKcMZBn1Kqyk59qcEkKZtLt/3LZUYA4kyU2JzORLXqFdCkD3aYZT/viB1TgHChfCwLf8s3XLnPbq85w+dUDpjco4gj0YOgRhopOp8K5c7Pc+0QNaTTrpwrwjv/SkXqT8SWGMebOdTYlMI/LlNFNjFQqQ4r3S7pbmfT1eDKnALpSCVLG+EHMXEvw83/Q5FNfrmE9VaTjU2myFnsXdd+rU/JlcK+V1CkzerHMjZ6fEdYeA3v23uqalLIOzwBdDkCzzh/H4FJkz9PgMzHEGDzpXJXWUPITv6o4vyIgEIWesAKLzpm8kCfphZY9SiddVSpPCiZPHZRclhRfU5AFoCU2/ypAz99jNL7LnmTnxtOC7ZsUt14+zeaphGatQjUQJFKhJ6uaZr0yt32d/sK7bln/5po3IEkU/aHbnCnTxPl5KleBMa5RVweQhSzJ2LrE3GNBpRgPKMtsLlJwZ8GlyNjajFiCUjpwezomxPDpB+p88dFaWmuSWYIyZfCMvYtdg8vzBtcspirp76Iqb0yLj61ya2qR0nujzsmoZ2xNUaVXrjSUqZuSb6knBEKkiZ/UWZFSYqxK35MI6yoOA2150w0D3vHKHn/6OUkYC5e2zVkcB3IrGaRjtK0oy5SyJnfTz2zK7IWrIlI9nrJ8Wc6VricxDvTsboss+DjDlldNmTK4Eor9xzxiu5dg/cQXmrONuUEYo373v/0Gt73jVSszE3JldsJ8p0gWaNSkS92Pn0AoRnSVRifkSYmxpE1eWyJLNSViPLGT/dvROhM5YgXaEXCXmduxdZGxlNLNOUmk4fZ7q/z/f2+CY3NB2sRQJHSQGiEFgYSKdIPsdToGLpstXiRz7GjySxYDkPIptwKklOTbqojR4UduKJIcTdxkTt34vRzQlssYyiti/nNXLiqz9PeqaQV2ZFURAjCW6WbCZRfHnLqgOHRSu4TPSHFRypup1VeMvxj/N+NX8vhFnvNvWZ2Rl76suvZfJEAfWT1Xz0JJEstSK6Q+sRPD1L995vmjD19/4y1uj54dGxeRKmBCL1EXXdr9BnGSZZhE8RHypXdcfnx15h7f5jm7IEYkihjbA73E3BnQC4CPgTsNKDNL0PMSji1IPvjJOgeOBNBQuSRxiR2nvTNpkvdZMlabPs7c5bssDq5IT3CZwMdrUdzrwkVZK9njWNuMJXwKF0Vm7D6WvpfC7fYrhc29cZEzu0zBYdzUK2udFTy0XLo74ntu6/Dosz7H50tLVR50OhkSIxgIF1ySjnCzxhbBZUmX5zUqo6oHKQRkpdKpVJHpCpAZGMK6Y+8UUcHQZRSOu67WQhRb+kPLucUY6gNstUd/MATSTag2b91DpVLl6V6fdnSUWiWh3dfYHORFQJkv15T86jXqSYos5agcyQGf/Xel52UbUJS87jzJk+psmYJcylIxlcgswZiljuA3/rTJ3U9WiirBLGOZgltJ0h2Ky2OQi2o2VQLzWrbgWsAft8C/3lu5u36kqtCW5UsmWRygcpkiSuAvZTqlsK7BwLjjb4RKW8UkAoURhqRneO01Q/7F+9r85z+cZLmfATtFnknlitHEMh3tnD6SZjOtA0JuEypZfMbSnlf5Zy/r70y6jEiY1F7MatWzv1Vm/bJUzBI+vYFlaspy7TWbufzSKxgM+tk1Cn5tC1Suv/PBJ8NfPr84wzB0vzhON0TKfNnyMjdq5Y0lZ8rgXKN+u9yZU/zc2X2y9N9qubo6UOYMnoG7yFYqFTMQlt/9ZJ0/+ESDTuS5QqqMuVPXxM3uK5yTkaIqioM3nr0cYeo1wTxWlP91IH28uz4HcvazsttSsgsLF6VsIY5PpnXltLa0W4QxKu0Icnq8oeEH3t3hB2/rUDUxmARs9hiBicHGWGOJLQwNhAZCI4iMILaCyOBmmVtBnG0Hbt1Ervz1yF2MZMqNdZnI8pbx7nVWazJaxpCTjCzqeLSy7NnaZFO99ctvveWKOy/etbEAuAou5o5P/EJv+9TKsT3bDEJGbq+eUOR71ZdPmniRILFcQ1Ku2VYjwC9S7XK8tUyUgsgU1DmgVZLKlSyRUwBdppag1YYXjvj8+Z012lE6GZMM2Jnv7aZ3eaIcVNpC16ZZzDUzlSO6bzRoKr9P6b/5epBe3gdyxDJ0a2bOzKMXQakpOQe1HH1d2svdWYeqBHKFNYo4UjS05Tve1OWyS4bIJM5BPQr2BDKQp0CPUnBnII9TUoxXgdkBNjHkg4yyn2W7ypmxe9HsYUtZ3VGQK+lqvisVicFwekHy8JPLx/7lj/987+o92wuAA9z06jfwhjd9Ex25hU/eO+DYGcFgKJwWN7k5M+KElLtuclCXakZejM3z4FGUwWzzem6pyuDO3JOSJFkjFa+9hOePevzIL03x7KEA68lCluQMLku2oM0H+Yzv1LCWNbiWTBlJ7JQCsZKf9fXJlfFMXRnkq+zCYgvukU1cS32b+cAgK3N/3JYmYxmj0vFvisRqTKi4+uKI3/6JFa7YPYQoKUCe36MU7JbYOJAPciZ3wI5S5s2YfJTNs5+NsnZiodg6scTkpYvBWDviMGUqSimoBIqdm33ecvOQb37zFt71re/kXbe9LT+eOnsy19pCPalx9NRG+u1DmBk3bznw7Yjfmxc+lcb9jnrWpUCynPQp/btycCmEGQ0sxdhjCmqRed+qALZMEzraM3Ss5Hc+WeepfQGJKrG2KOpNoGQLjoC6XNFYfNfxuYOrxkKMgH10+fx6yNuOAbuMcFvu0xx5v8zsYzXj1s3tNiZ1bYSbTGsyPY7FCJnGUhIhFMJYEgxaWK69bMg/f2eXn/w1j04swKPIp5sUVS5CITGCMNPGJs1iGgGiaEbOEvpuO06RVxsWgedoEOp+R5Hud787PYzSzVqReRbTfT+djvhuBA2u27ueS69cTxj2VgN8ou5Rr/uH9+xsHmmdn96tZFRYT1n6eq0qvxLIy4FjORU/AvisW2fk3xfaO/fCxRoyJQsuRRpUigTtJfQMfPBTdT72xTrDDMxjzI1wFl1eUPUi7P1VKwVFAezRZI4oJMsqZH8teTLO3iVgwIgON5Cf4ILRy5LFpuCWyBTwwgpEWqMirHRVfNa658Y6kFtLklh8YXnPG3rsO6H54CcbdCPcAcuDymzNtynIZQ5GPwsshcDggOxS9UUnVPY6A7mRpRIQSEda2DzziSz93fT4mmw8s7FpDsDS7SfMLU8yvzJ9ZA/Vw2Fs8mOaS5RtW7fw1BOPfGHd9MRHtmyexVMG33N7u7uGg1KjwUhf5JjsKGlumQ7kyf69LEuYkuYekSNranAzAu6cvXVMJ4Q/+Os6v/AHTS4senltd7nWxN1Fib3tqmxlkaQa9Y8zW2sE7OXXY6w98jPx1cGdodqO6cuyk0IG+izLWJYk5ZR9NkucUclSdlZGdbka2arQjYBTbJwx/PT3tvhn7+zQCGI37M+WdXkqVWwC1jWqhyYLPp1MKWvx2BYBaFKSMIktgszyPc50uWVUthhIEpu+l1URWmcRDiIqtSm0V//I/Q889IXZ9ZtWM7g7kBqhKndoJb6lXtPXBF5C4Bn80s4JamySlBRrP5bT8rkkKbP2iDwpM3fB4DK1BMfBnfVXyorlr++o8Yu/32RuyQNfrcHeoxlLTxQJnIxVRjxveBHvW4yAd7wIyL0lvhZhf002HykkKkkVGGfu0pDMNNtprHDbaIsC2MIWnrgQGWuTPmZyxbE4RhOFlk1TCT/9fW0W25KPfKYBlYxJRcGo2YECLJKIzLITmDRNbxAoU7YFV7N5ZhtmNV9ZgVa29Up+4edWoYXYGYTuvBg8rRFCPDU5Wb2j1xuMHFNVfvGhD/0Rr7l5z0klzI2eGlxXCyKqgcUf2Rm4NGxeFqy+KhOp1pAxpcdClpR6LMVq9s597xK4pUzQFcPhM5pf+uAET+6vQCXzuMdKYWVabyJdyUXWsZPt7b5WO9p4o4Pbk31sz6CR18VmWSL7WaqB8421ZOmx6DUoZSRLv7t8UY0PTJLkRW35GI6sN3TM0sz8esjk82i9UP7f5Mt5Gm8Zy8SEoVqxPPiMx9KyHEPKWNCRvjAIkvTndtXlnwE0XYlyKTb678vV2Nm4/lVFaenF7gJRg+dpPM/7zPP7Dv/WP/3u7x4B+AiDA1y0cxMg6a2sIMwQKWXBwGq1JBnX1+PZy6KDx4yxuSn+/SrmLhhcycQxfcbcMkH5hiNnNf/3b0/y5ccrroFyxOselSZakI+B0HK11l5rmM/IvykPLhqXKWSDfkpOU4npxwG3lkuSn+SMqTO2HmH28t43NndTZOoVizTAXKsoS+AkgTAyTRJJhHHsve2NMgAALxVJREFUJ0zG4m6vd4yDlBlYXv/yAT/3Iy3+429PcPSc74LO7FOVkj2uSdlZssZCmLJxVkJrMjYHbGKLC9q6EgOZFSyKdOc2UfwbI9ItxS2odKVKUhIXscUODEHVZ8PGLSQjfvaLAPyGm25BCB3OHzvG/FyH3qBKYopxXG6i1Ciws0dGgM0IeFeDfm1gC1HoczEGbikTlGc4fkHzn35ngo/dWSMU6W5UeRq+HFi6QTRalOu819h+W4y7JaxySEY0dtkpGdPeL3or/3DsPGSAF6yhxdMSvfLGT6O7I4v039k0g5hlNotGCGkcQxrhJIwQIs2EZoC36WwUcskSG6jomPe+sUdi4D/+1gQnLgQpyNMvVA4+0xUCoTAIovRtYwSeTBM2GYhxYJXCBZZubmGR3TRi9D0jyeccGgsylVmJgaWeYHr7Zt745jeHURR/bYDXJ6aB6X+3HO+6vBedfq0QCVqp1BpcbemJEqALEDMC7DXBXQJ2DvT8eZI+jjG3NpyY1/zkb07wibtqhDIdASDWvhcZy9EqwbzmZOxeXubLvjdinI0L16Tsqoxme/77bmO4HqkLX522Lxg/S4KIsqOSMl6uv0s6XApZWgFk9h+7umsDQqi8izeOLZ5O+I639NEKfuo3Jzkx74/KlZGLNfuBS7TH6Y8T43IPOm0UViUQF7PWHXurkTondzG4bcMtJmXvbFe/JDFs21zhbbdu/cplF2/9d2fmu18b4ELM8Od/dVcbNh/oX1h/y7aZBVWvJfmU1lX23xjAhTCl53bsIijJk1zSmJFg02ltx95KFMVUQiWcXVL89G9N8Ik7a4RqDNyrAkt3AD3p2FuX2HvV4KHMLSnJFyiBfOy+VoCZne1i9MJ/H7rHA8xxX7x4U2Ao1544prM2JdJxsKesXpYsrhcz+6wyH4oppMUYm9aqgLCWOLZoDO95Y584EfzEb05ybslzKCUuSZS1vpcr47XC7Zyi0ySbwhVnKVtia9x5SLLXaayQS0UrctbX0i0kVR9etitIXnNF88DB577Q3nvVW742wMmvuO6PbNtYu1Hbhf+vvS+Ps6Oq8/2ec6rq7rf3TjqdpbObkIUlBCIEAgIOijxFcJvNN6PoMI46zshzGUeeOj5lPu6K41N0xPE5DKAIwiBRQQIkAQEBIRshC6SzdaeXu9dyzvxxzqk6Vfd2OoSEAPPO53P73ltVt2513W996/tbz8m25cOxgpDBSQvm1uwHJAFvgpvHkq0ksLkhV3hMc+skKso4fJvge7fncfPdirlpUnPrZxqBmzRHLFsyd8jMIgRxq/YQpv+7lb6O5jMiLxTf8WhmU1BHxLwnZlhfuwS1vInciPIiMD0pUDqcAEqaQDG3+o2UnzxQVwoBkxmAgQT5FRdVsXWnhS/+oAAfCqEQ4V1ACnv9UL+P6r0idTgQALBAYCm2Zip5iikGJyqrM+m5Mg3+gEpJlnIoal7uyQNDlaumTcm3PLctAf7Hbz0f25/8cSBEv6ge2gqLeWFWH1FXq2l9h91AibkuyepJRtcXizQ2mWZuA9xUgRsWwdoH07hxbRYNylQitam1jWfIcDyjLaSJYoqooCHKjozNt5OUJ/r/NB7yfQRovUFTmuyRgNvYMCZTAMM1aEoVYhiqza0mOBehziZCp9SSmHuRx+QLVcytWJMCnDN1wTMVZ/GRIhxvv7CK3222cPf6rMoknOy/Y9AOWK6KIDiRQGdaj2ubCFKWJNWePi6it6cA9QlcUPTPmCPW/8ELrj7vopZHYE10aDPmngXBqzeWUw8saNQO5YLAMk6/eVNO/JgGm2ugo6VcSRiWRIAQIxWWSM1NLOAX96dx9TeK2LQjJXNcW/q649LEIc3SJO4dSZSjGbfD+MmNT4WnN2hKtGoB6knBnQhjNssTEvnAYRqWCZ+4Dm+LONNPDGjI6KYCDedSqoQeFiFUBiIz8rAFRAAsmePhyx8ex0cZcOf9WeU8afWf6lCkArksxoQAlYEbAvjqHDGlqzVTJ61w+U45wtVvJQKBga7OyvlrzrixmE/j6gnO8YQAd7IDYv2DN3wdYtlV+WBXrq8zAA8DDlGWm24GBKGpTrQGegtwx0EuIo+JYm5iAbety+AT3ypi004D3ERnCSbD8dJvLA0aY2YGfXtDEtSHkRutvCpAgsHjgyReTKBMo5UT4SKZfGUsCw1QIWIXRCxnHNqjghiLy65RpgFKwdWkrdKTYlZQSk0eCAEmBAKuDEgXWDTLwxc/MA5KgF/cl1UaIpl0QBEanbphIVRjQxLhB1Bg1+AV8TMbpSoYOQuCoL+jgg++fdnw4ODGr69647smPNUTAhwAUoWzIPxDQHkDcplBMBbA8yk8n6mMNJ1vTBK/me6V0qzHKeHqdsMjT0nstZYlwG33S3A/td0BUq0jlKbWIwSh18RqobmjoIlIaOzDgN3EbIK5WyQPGmg/ch2e7KcUsnW4PtLhYbP8cDuTzSOfuCCt2JwohubxKKdKKCHqSiGCqv0I5WdXOlsfkSuwZLaHz//1OIQA7giZ3PiHiEA4HzhRYBdKp0P1eSNSuuhmQbEoT3hF8yhdN/CBACDCQu/sdqw5bQmm9RQPe24PC/CB6bMbdjDy/tpI3003rB3MjZYY3n1xDcUcReDb8HwbRKVi6h8i7AyqwQ0g5h9HxNZafxOi9LYyNmER3PlgGh//RhFP73RUCJ6iWY4YhiWNDMsYuEPWjkrSzIKGJtZG/NnU1XHmjhc+6Csg/nZyiOtCklb1iaFXReuE0HUoYiweaXRiBJCIAXqTxQ2wG6xuelgIkYgjyo1IoFIBuP7fKYgbYOlsD1/8m3FwAfzngxlE4XttfEJRsmjJ4mGJfdO9Ue1DcAVsF4Q30Jmv439eXMH+QwxjwbmVZ/dm3r9g9tzGUQMcfBfPd856eMueK8b/6SdjueHhKu7aMIpPvnsE5y5zIQSBryevEgaNJUGe0ONanpiyRLoHBTijuGtDGh/9WhGbdhjgRtKwNB8S3LpKxyxkaPacJAt4YdxlItcgSKS/I7A3T3UXgZrEWT1a3bQsoUKMFSS0JpOptHGj0wC3cTFIIItwtl8uhOEyNFkcILoqX6XTEpWQRaiA4DTMXgSV2YcQUeCSCNkPEG6AkwY8/PMHxyEEwdr1adnltUmumA/N4BSxEyYSFr2AYm8P8Bo47+QxfPLdYzh1HsXQSAdYz5pxOzvr4d0H93McZhzWBnYxEyDdQwcOkcsvu3CF55IU7nm8F5/9fhee3kXhWGFmciQ5aKCyBAMjj4QbkkS7AaMmmZRwUAZwRvGb36XwkS8XsWlXC+aG1hlWKEt0HD0M6AAtDcqk9GjF5BqQJAby+OdMsCa3MzH9QkcSBuFyY2HMHW6s1zZRyPIxFicqGGQ07wyb6Uclb5xThP1VdKEEVxdAQo7qggnOGbhLsHiWh6/87RjWnF4HMyVFy4diZV1IwY2KobB6SDsVBeADSwca+Ie/KGP1UoZqxQay53qZFL98+tS2oZn9Uw57Xg8L8KldDK63CRevmbLnXW8aeHbp3ALSmSx6ejJwrBRcX/Yv1FFJRuIFwcQI3IT6OkygCiJpwgQ4I1j7UAp/889t2LpLdaBqJUtgsDiV4GbKqEyyd6yYAS3YGwZ7IylZmtuutQS0CfwJrM9JvSkTAV5HLJHU21EgB4jrcK6kShLAcpmZ02JsE4KbxIAtwoogsxzOmDaFM/CAQrgEC2Z6+Obfj+F1K+tg3AA5nwzwZjpuAuSEAJaDipfGnv1FDA134kCpD4PVZc9uObhwz32P7gQhqaMHOAA4NsXnv/XErie2pN77ulOXYvWcAK9fXkDG7kS5loYQKhnLKB+jun4yTJyKIpJhPjeR2xAH4BbBrx9O48NfasPW5xwIh06guU15YkQrSeQxsUjcBdgkRwAkPSQtCxoQXxZiN7lNApZmGF+unxjeLaOVMFjbWBxp9NBxp9JT49vEJ5FFi9cKwEDI2CbYTWOUQ3fMai5a5oJFYBcUcAkWzPDw1Y+M4bzT66ABBzwBwGRt44HDgFwH+QmDlXJQqrTjV+tnYsMTU5ArnoWTB/z3ntK7dhcXDJMNa7INCHkNKpUKstns3gcetNa1kx2rM3YJw6MBejt9pJ0G0o4PwI+1lhYhSETEQaZxSQDqALsPWVj/mINrvlPA1l0K3C11dlKDS+hI5laGJVrr7VbV8SF74/CuwhDFRjSzVVPN8L1pikx6+uNgDyOaakexqCWJgB9zExIDxERpbT2/pmJ3rts1wNDinKgccv3BKNqpekVIXzmRXCONVaqMVYQeEgIRVhJRX+A1szx8/e/G8envCGz8fQq7hy2VoKW1tgZJK8NS/f+6L0uKIcVs9BUoyiWBTbu7Mf/kU9YVp6zc22jUcV5/ZtLzOimDA0Aul8Pmpx95ZkpP29fPee1CdBUrKOQa6CjWUShUMVp2EQgPqawLSjwQ6iuGljKEJFmbAjQFbB208JlvFfDBa9uwZbcGt5nk3OJBI92tixjipWfN2YKh9wSmYZnwlCSA3sT2Rhg/SeemwRn+SAmETwR2YW7bQmcn5cuEbK2XhRdKvAqfG6/Nxp3mXJzymSaYPup9KDhNMH1UxCzXEwgXWDjTwzeuHsOnPjCO+f2eLPkJWVy95ryZ2bkH1DxkWAM9hQpIuY562cdQlWDfsIti9zwImv36ho0PP5NOTw5u4AgYXI/p06fDThUfztrjt/pdm988NPQI7tjooSFs3PVADnP6XbxpdQ0rF3gIPKJmEdC/nWRv3U2RpoBnBm185tsF3LI2g3pAVU53kqkTD+1NUYDVabDJqUa0no7cgiKmu1sti3tAIv0RAb9ZWEcfmczKPAIuNwI/TaBuikxGd8gQ2Kopj2Z8HnpTFEHrwA9geFaiQJCA9qJwwziVIXyE0++pnHLlMpQ/hPr/FKtTHoD4AlM6ffzJG2pI2cD//lYB2/dYsuIkPB8J9pYd7bFyUQOXnFPHnGkB/vOBDKrBOB7dUURH/2LMn7/g1tmzBx4ePlQ6UtgeOcALbVNRL+/cNW3gzA/98Me/YT/9TfebHt1C4AcWDo5wOKSGBx8q4bMfGsVrlzQQNDS1KXBD0iK1CLbvsXDNt/O45VcZ1KHBTSI/qX4k5QloKBUYolwTmc8gELU+FhOzMUVchpjPCsgmw+sVSW9KKx1OyBFBuSWo4xeDiLFyqzyVGLhJolAZEVPH8lg41NzyoV5RYI8mduWGXJGbyPl/hKBhai6E6jolqNq3/jxVhdEBeB1I2RyXX1ADBHDNt/N4dtAGrABGlWv0b7vAqmUNfO6DozhjLocFB2cv8eB6HjYNElQJv3358jM/9Pzewd2L5vcfe4ADQDo/gH+/7f7d7T0X/IES601BfSc4ceBkOWpliqF6DWlHhD82ELE2CAF1gJ37LHz6ugJuXptBA1TSMCEIk3JMUMeArtFpSBNEofiWlThaWpjr0MJzkgAvWoC72W0Sx2Sc/F8QzJsSrELga41tbBQWQCjfdihtkg+QJhaP541HNZ1c11oq/avzU/S0xWFNJzXkijoWGeqXbSmkr1y2baZUVhxnLI63XVQDiMCnvlHArr0W4OgeyjR2wusu0JnmsGkKI2NtoEiD+8CyOQswZeDsP/Dg3t198897Qef2BQEcAJYuGMDAzP4vDu7eNYe6Y29/ft8YDlYZhjjFBWfWsXSuD7/BDONSIsvlBI8+7uDbN2dx09oMXD11QhNbs+ZlYCG4dfaZToHVBqRm8qQHJZl7clhPCppBHkqQxLJkUlYM7y8M3wZwETPQQ4+JaWQSg9m1Die68IEYgDam2zZYXGe2mmm1xNyOaANUM7eq/iFmLrkEtXZTyn4sUXBIR+gBDu4LpCyOt19YBzhw3c1ZPLbJQUNQyLC9im84BE9sy+BXG7KY0UkxMl7A8FgGnHShPb38xoH2s75YGX3+BZ/Xyf0siXHdN7+MU1ec0Zg3e+qdz+7YfW7Oqc9M2QIrl47jE+8cR8a2pLUNyZTUAmqc4oZfZPG+zxfxyCYHHohhLJLIM4KEBqdx1yBRzO0QmfRuEcR7C4bt4yZ4T+IFxbqyPgqIknjhb7LAmACE6tkczBmOzWW64Dh6T5reJ/PNo+8ylyUvRvk+/nndQztMM6VouiMdNpks9hkRXdwkeo7FBmJ3N0MKIrorRhd5FKFiRGDR3ACXrWngUIli8zYbnm4mRBhAbQiawWM7CuhtJ+B+B/YNF5HJtt3f1XfGFYO7/1CeMeeU4w9wAPiPG3+M977nPd6yk+acQbznls/oDtgFpwE97ZIJKFXzwqc4KgHBD3+ewyf/JY9D4wyckDiqYqBOuAJjyVWRNJEN643KeLXObAXRDPYEqxvXVwRqQ39TYzv9wxp9wSkh0TYtAE70NpMAXN+VmkCfXIYWFwZIS+BKsIv4xQfEwBklwGlEimi5CXI9SKvvEomLKZKn0Ucjhz4lQD4jcNZyD8Mlgk1bbXg+VTMPp0FTOTg0i9HhLMolC7WgA2eefekzIPT6k5a99migemRuwlbDti0Mjez562kDC7YI4sBtZDBezsL3bRAQMCawfR/Dd27J49PfKWK0ZEPNNgWdRYYw9G6gCq0MTrk1Q1yaxJlMtIhGJt83h+xb+b2T8oMYD3OY8mWi2dUOJ1dauQBjRceI628gkhumJo9X3MdrM5uLJUytrt2D8e150z4ozCBQzHUYWydrMUXClRjqKi7AfYHOvI/Pvq+EKy8vY95UT1YPCwqbMXRngAylyOccrDx9Ua27d+Chrt7ZRwvTF67B9VixYgV27a0K163f7pZH56XtJ9O25cNxPKRTLjZutnDNdwv47eMZNHwSJcWH9GC4M0Iga5TR+Hpi6G4ohkZzhmCsoJhGt/jJWrEl2VAfp/zqRBKVeYs2nycd8Q3DeEcLsMcwngjyRPES5f0gie8I3Yg6xXYSkMO8KFTAhhp6nsS72DYZnEQDXWp+otyLQkkUoi4GEMikLciAZWcuwOffP46LXtvANd9tx8ZNKfhWGjXfwlg1QO+Ugfqac9d8NZOh/0BI4agBftQMDgCz+rJ8ZM/GaxYv6Lh24fy029sxjEKujI2bCa6+rhN3P9SGhp8CmB3VhLWK/5kMTgyQhzOoG+xtaugQ1M1TfDSDWDSzNjDhMmoeIhBn8dZUnnh/xMhvYun4ivhbvW10EegcEzPQk+h8lQS40L3EzUBQkp3NQBAmYPBEsAjxZ5iv9f8g5GwUvsdgM4aLVni49q9GsWrxKIJ6BQfG6rCKPa6wu669/c6N1xBSOGy24GTjqBlcj2XztrnE6v4CcbPunj3iM9fdxugt67rw+2eLQJZBVl67MtdA8MSvpoFswsdkc8TY22TsSJIk5IqefgStNe1Ej/BwYhrUvOsYh4hof4nFMN17RzSEsQPzc5q5dciemO5EEurd0FMYK3LQzKsbWaqyNkDNKW+4CNVOZYGyLIYIWZ3LqvfIy6I9JlGlPjFeC0Fkgx/F2JLRldoMNZVk/IBbaHg2IChOXxjg6x8cx42/reG2DdN5saPjM75d+PLGbaPui8XnkdPMYcbObf+G3s70SXeue+7xP//ERlbjbUhn0xAAGoEP7lWARh3wfcAShpGpDUtz/pxkP29ZqSbbrokoekmNnG8aeUi0sUk0w1PDdZgwNGNekqQBqo1O0wBVyokZBqYucNat2aL1JDJGiZ6QKu6RiT1T3SKu2UDWcxoxffHq/4lqr5CIbRctm2ibCeZFIvEJwMxZpaN5k4zWemHz1KD5fSzPX6VIy+JLCJ+hVsug7mbRcB0QArTlKqh7ZdzzzNuCwfHFy9NW+akr3/HWF43NF83gAFAVi5HpnLJN2D1XXfaG7LfveeAJ2pHmcDmwp8Lg1oC5s6qY0uHhye02hscs2bAEQGRUGm4Fg8FpC73d2s9t1FtiEt1trEveP5IMHTK1ye5oftZvXrA0N4YZ32mpWFRqcpLpdcQYoTRR+yCGJkeC4cNgkL4DmH5yQ+IQ2XaNxAomDOZGpMFhMHk8oQqgFjA0buHJ7RamdAgM9HHUSmmMjBXgegzlQgozZp/HL3rtoqs2bD9z26yu7ccCmscG4IsXnIpfP/iEe/kbzrl+85bdWfvUnq+MDh9ApcFALA9vuWQIb149hmnTPdxyVxr/+L02jFeZ/PYQVQkUqR8wBHXL57g8SUqSZBZhk2xR6DVBHLvOjBGmGyCxzpQ4x2nEQvYxQxPargy3kVhXEkHXdapSN678zjoYxAE5pzyN3hOhQ/lUJUXJf5LQOMhj+l59p7wA42m3Qt01xioUn/lBG352Vx69/QKXrnZx6ekO9g0VMTxG0Dd1Jkhu2t/NW/r66y/I/y6g6dOPybk7Kj94q3HD9d/Ge6/8K3HGaUt65s1MX1Iq703V6y7eeAbHO17nYkYPQTHNsWR+HaUSxYbHM3LuytDf3Zw5SIjqYqQkiTYyI+kRdYONgj1xqZF8bV4M2scdkyvhNtFy7WUx1xElbSJXZOTjlsGgyDdOE+8PZwtMZitMFHXVAZ/mdWaZnXmBklhgJ+kdajoWaiwPz4MIvzvyi8c711IiYGcCfOuWLL7xkw4cdIs4WO7E5p0daNQKSNsMw6UcZsy7sLT05PO+VyqNbc4WFhwrWB4bBtcjn8+grTh6e0/X8r8eHGl8dax0f2c+XcLQaAcsStFFA3D4cH0T1FFjmIRYCBsPtO4rGJ+6sHWHWHFY4CARKEHs26MfPf7Dt6Zrc2mUAUtabnC4BKqWI8beSnaQiD21Oy+UKYhkCYxEKgFlrIYGqew4pVOGjJJQNTV9xNqcE1BmuB6hjd2oCVF054jch1wwgFOkbIBaFEAaHTkb0/MBxkY5mF3A61effSjbdfKHf/dU6fZlC47eJdhqHFOAt7e1AQAOHRr/0XmrVltTi/YXDz53T4/n1eD6NgJBsf4pGzfek1XsbUeMnQynGKwShnxaFAwnE6xibJJclviWZGg5prVJHLQmyPX20SLz71Fa7q08L2HuiQZvBOrIv6vWGXJFKgYJRsSAS9Sm0t8NojNhRSzpihCoTleqMDnhBze9MPKgSJjRKGUKFLjl93oNG1escXHHAy5++SRFlqne8ql2zF5w/sGly8/6X67r/Wj+rCPPEjzS8aL84BONzs4ismn/BytWrPz41P5FBxueTL5quAF+vi6DofEi4OQAlgaojbifLOKymLFosHC8zrIFe1MRD5C2eICSBJub4I8WtDIwY4NMuuCYjOYuWCRcHqXIRkCOIp7KRWimzCaLJFRZWpRdCLT0c3PjtTop0XGJ8FxpoAfcguenUK1n0FWwcOk5FXQ6LgQXyDgUpyxffHDFipUfHxlr/CCdObbMrcdxATgA2Kki7n9g3fUVt+3qXLH/EKN13L6e4c6NPbDTRWRSKViWI6UKCBC2Z4x85eoUKgHTXETc1O7BXN9CskSAJqEo0l+UhOVEhmOSyY/1iIEVcWA3RTvDcD0xzpixHJGUCCeNhVF8HBYZxyeV5Qlwm9tHzYf09xDjjhd1WRACCAKGhuegUstjvNKGi1dwXHLWEGq+hzkD/Ydm9LVdve7++67v6mw7bufzONv/wNbH/426Xv0dv3vq6X/5zHf3F0aqnejIyW7/Q3WK0XIAQWoIOx5RG3rqEYcCWSqQooCjZmewqfR7hwYnNQxL9X5i2WIYiMk7A0WTERm/cCI/drTfKKkqem/4uw1jNPS1q88zXX1nGLxMV+Ul/fY0sifMKVbMaUxoKMki2yQZ1Y3mRooMQHN6dXkMuhmqMYlYOLEYV5ORyQJyi8nZpxkLZHKd6uNO1Ox8QqRwaKyAUjUNQgTaC1UMl8Zw52OnlDg/6f2Upv79Yx9654uKVE42jqkGbzX+Y12JtxfpjTufn+cvnDPlh/ue35nuLjJwTpD3GmifO4Lfb+IYqdiArbwqqlpaqwOtwZnJzol5dJLvW7oOSSLfRH9HzMg0upuay8jErB7f2dGfK93xLPJrN+/edM0RIK69SbSf0EBURqncVLI1pfJDHAC4AKXyNeEinBFCTjtoRDND/zgxeo5HdwsCfQH4SDkeRqoEv3vKRjFjo1xpgxDAyLiNWTMX1P/k4vb31PnYLQw+/9hxxt8xcxNONH5z5x1YefafiUxhxub+dv50Xye71OIla9a0FM4/rYH3X7ofq5eNYbgksHufDQ4dzaSwKEGKqNRYJl2GlMr34aRRisl1JDDGijGWJrqNSnOwh0YsHoKZmgxOWl4kJGTzeLrs5K+b/fEv2HUIBeLQu6OBRppcfvoDxFhIYhvI4wrtXMPQDg19ox+8tHHM+VINFmce7v09xaeu78CP13ZjZDQP182iUmNo65hTT2Vn/MmMvqk/q1fsYNai9x9v+B1/gAPAvXffhHdcdrEYFzM3L5wutkzrTb2xr2PUXj63gem9LpbOr+CU+TXceE8WNS+SKDYlSFM9S0M0C1rTzGgtbvmt5MVkwAmB2gQoYhitzWA/XgCfcBtM/Jm4PWG+MgBsGtHapCbJbYx12meupI0kBR3a52q2vQC25aFU8/Fnn+vC/U92oRK0w69ReG6Aaf2zqp3d/X9+5rkn3fLY70f4olPf+VJA7/gZmcnxvr98J06Zvl+8+4qnb1r6mt73LD+pY6y7YwwELgLPRjEjQIkPPa0tgVGpY0iQ0B8eam+dbzFRGL91UUD0o7ZQFsfdMjk+w0zGakq5TWQR6g5WcjJW/VpNwhp7rdu10aa2b6Y3BpDg5wBGazYCZsPjAfZVOKxc35iV6n7PX3x8w00/v3WHOP2sy1+yc3LcNbg53nzZFXjkgRuw6qzRn7jj0+zdezNf3jP8eNcMchCCe1EEhEgDzWzBFmvJFoI5YWSSJIsnmmeiGdytEX4Mx2H2m8wJfzGjVYahXq4nVI2xt3KQc4qoAawiCiTMPq5uDYRQub2an5JTEncnQp5zThxYjGHlYgvnrFg0XPamfuShIfqTj/zlKXjzW158AtULGS8pwAHgtLPkRJ2Pbjp0A2zbSrXf+4VG8NOeSn07OLEBYgGQMwtYSMwpTyNws4SngVET4M1dYJuAjTibJyTpy2IcLut2onVhZ2K9Ecx/TEcytfwQalrByMAVCuj6U4RIhgeJ+hYSIpmdch72LBSCIggscB7AZhxzpnXig+88++Db3rTiY0BwAyHTTsg5fMkBrsepizoReLXvAxeS8rD7f/71Vz/rqdYZQNKKwSWILaW5LcOInEh/sxbgNsGMxOs4e07SsF4HC0/ERUASr4/oGKQnJt45S+WW6/MT82EjBHor/w0hFIFxPikRsaadQhD4gQPKOd5ziY10x5qDbzzvnI+XS+L7hWL2BJw0OU4YwAGA2RkIcej6VMdqv7O/8JWVix7o2Da4D3vHAxCWCv3eNjM8JwSGz9acftuofEcCxJHyiY0jxupE4H4hhQ3HaCTvTIc/bMNvGAI3YmypXiTlE2VIRj2BCEJ7iBA5rSAhCHSNrDI4LS4n76bUw4HRNJi1EFe9a81Iiaz86KFK8MOZU/OTH+hxHCcU4PJEdaJcDX502QWvPYTyvrke6br2w1962CbUgk0pUhaQYnHdrSVJ+GAkagGRYG75JZMdRItlwngiIkyyivmboXnyOOKctHgt9P8Yj/jGjiGW0GV8EEYEUkQ71RKNEgIq5Lw8UNMY63YahOtzIHsUAgKWxUBIAIIq9jb+yMvw3qsHui7Y3mZn7iDkhMPrxAMcAPJZxkXw6O1XvXeNc9/D26p//pbMdXfdt5mkqEtzjoDNVGMbdYLNviYWI7LrAI17TAAYrJXI5ZhghPq1Vep3U5HB8Twj8XycpteRHy/KldGLjIuvWWtEG5phfvOznEBO/c20N4tKOSJk914uCPyAKklCZeSykOWZzlWihy7/wK2Pnf+vg94z7lvWzD+eJ+iIx8sC4ABA2Kn4z3VPuG35GT9afhLupQG/ojK8/3MjQ4NIOwzjNQLPlyCGNjoZkQEgzeDU+IETxbZ6iKYX8WGCPMbOehl56XSJgWNDchmz18Fg70lkS9OUKEqLRHkm2uuk5snUVTrgoJTCFnr6dQHPszFWtkGJh3R2AMIp/GM6P/umxZ29zy2e9ZBLMme8JOfnSMbLBuAAcPHqZQBQu/abt2zt6F78hRXz8s7oSPGTIwcH2a6DY3h8p42cJTNtKQNsBtgWCVmcGtKEQ00uwFUli0arHiT5o5tv4jrVrKgxe3WTCfTJURmih7tuSBgPj55DORYHd1yMNN+5zGzD0A8uAMHDK0h6rRgBF3KOQcbkTlKOj5TdwNbn0hgZK2LunPmBb3X9U99C8oXnt3rBjIVLjyc8jmq8rACux9UfeCv+37//NHjXO/740wcOHrK3P/3Ltw4P/WrGVV9DRrgWOrKAYxE4FoFtE9iMKKNTIlxmxwkEhkrmPMrfCPMnQpDHaV6EVmm0SqiJmpIgbHkjmKC67bCDTL4s6R1qimKaB2Dmaxv/szkTGxfSBegH8llvwyjAAiDgspaNEQHuAI7tIZUZx91P9uL1q85srLlw9ZeKbZ2fXn/fbVh1zqUvJUSOeLzMPL/xMV4qg1JGtzxxB/Gt/Leu/Ny9S4qMnpH2h63Ooo10ikYMTqPSMM4FvIDD8wQ8XyBQLN4ExrB6RYRtFfQwA0VRVp+6kMLQf3RhhZmClKjqeNWjUOertMgmjO/brLBXhjTTlfYicoXqCvhkViGJ/Vsq4mgyeHS74SrnO+AErk/gegSeL9mcqHgDY3KaJJsJpJwAxWwNcwdsv3/a2Prn61fyrq6T1o9X+cdn9trI5U+sp+Rw42UNcHN843u3wrLsQq1a+b/DB3a/rTR2gNZrddi2pSRKBPSAA9V6gFrDR8MV8AMRY7MwqKMAEHAg4IltSBzUMYAnljUBPAR/ImXWAHiyXpTE/PxR+kGYpmAsl2nCBshVygKgJAgnCHSeNyfhhas9L1qi+AFBvUFRqRNU6/IcMKrtGnmBEeEjlU5jYGY3XzB36n8UCtkrXc8vzVx42YmGxBGNVwzAAWDbMzuQSqW7DxzY+6Ennnh8ycjI6JsHn98JyiwwxpB2CLJpAosJjJR87Bz04HoiNklv1CVWLuMc8ALADyKW17f/yNce9T7RTGrmhzczuJk7brC9CXAS/47JAM6SAGciZFqd+KQ5OggI/IDA8ykCFXYnxt1ByzQuJHtv30MxOu6DMSCbYkinKTjnCHwf8+fNRi5fvHXp0uV/6JvW97V6vT40ZeqsEw2FIx4vSw0+0Zg/bzYADO3c9dyn3vDGS2cNPrcdO56d8uYHH34KXqOKrqKNvp4AxVwVv3zIw4GRFLLGLHOUAhQKkEyGqv1AKIADQSDVtwYi1GvdIwSi2WiL/HFxf7IekxqcwswDj++yKX0gZlxGgLWobKpD9ZEQCl8lTXm+/CBjOrVVPmsfeEchwHitgke3pFDMMHS1caRsgqk9WXRNXYa5cxfeumTx/A+XypVdbe1T8EobryiA6zEwawZqlZFd3UsXfdR2Uj8qdg98aP+eZ8/htS2Y3jOIsfo4HtxSRBsjyKYE/ADwuYCt3ImMAY5NwCiF53PUGxx1VwI98q/L9CWuwQRpfOpMvUmHEW2K0k7lEBG+jmxfepfQoFe52QqwliVkdY0Cr+dT1N0Uqg0K15NyIwXAsQVsS8CxOPyAwvOBdCrAypNGccfDeTyzN43O9g4sWbYYJy+be58XpL/W1TPviZFxf1ff1GNfEPxSjFckwAEgk+sAgGeEEM8sAf6wcQPvm9I19zu22DDvqz95iJVLKcwfADIZhq2DPjwX6MoLpB0CyyLIphlyGYZaw8emQR9DYwRZW7ogU5aEnUwJIGAJ/X4kgVH5MDrTGv55nQylWXtSkJP4djqsTpVBaDEOxw7CR8rxYVsV7NjTjko9hUJWXrgZIZB2fHQW66i7AbbubkPDdbB0bgbnnFLF/vKq4E3nLn0mn+Hvm7dw1V4AW8lR+TxfPuMVC3A91A+wtVYd2Urgvz5oNPrf9j/OvpkE64spcTA3d9oosm0V3LU+jZRloT0HOBZFIWehq42gv9dHoX0U3787hZFSAT1ZDiFUKi6TrRTD72oF7Vb5LTH3XXPKbuSyax2QapIm8WYDYTsI7fGwLI6UEyCbdtGWr6Hul7H290U8vdXHtE4KIRgcWx5ELu2jWBjFug0MDz+Rx6ql7aiR2ZU/vWLl+KPb+OWLXjNvT8pmu17pwNbjFQ9wPTLZDgjBdyFz7nNzZ5VOeudlzpkph3w3w5/0h72Nnfwht+AGMgrq2ASFLNDd7mF6bwNL55ex5bkablmfQcqyYNMAjgXYhoFGDP0bQ59RI6mHBLPhQTFKy7jqtCMMwa3jOIej8nilPQkDUyRkcB8Zx0VbvoR1D3H8+Nd59GSAtOXCthzk0gxBANhWANsKkOuYjdNXnTV6/qpZ5VyOXdk/bdaGWbMLY5wLzthLVgdz3MerBuCANK4A8KGhfSMDs/p/WSmXFkwXNzYufP21f/9c+ZE/Hdyxw+vO1V7T2U7Tbfkqejtq6CiUMb2njresCfDgpnaMVwrI2wQZBURieErCCSrU9yWBLZqOJ3IpAnrabRGBXNWAhvtIXCTyOdorF0SGHUHAOIFQvY8ZFRK0WRfD4x5+9tsMdh9k4B1AwQngWC6m9nTATrF6Op/b3NazVLzrrW91XNH55fW/uvmHZ577R+LAoSrvn1Y80T/hMR+vKoDr0d09FZDR+urjW55FKmVda1nWtRefu5j1dhWuS1nuAit49uw03cKGyg1MmyKQdTxYwkW5AVTSFMVUAErMdIAW7N1imCmp1PApA4DrA54PeL7s/WIxqgxYEua+tIpOmtIm0HkjoLCY9N1TKrV1PuOiXPcxPkaQYxx9fS7sdBtmzOoPlp8y9/6pPZmtRIxfRei+wLIcWMwRr7vkHchnXpUwAPAqBbg5li+cA0Tk6lfK41cSku4gwb7Pb3z4Juem3wTBtL7pp2Zz/LS2oocuv4aKL1D3bDACpGyKTIqCUUmeQSAguHQbMgVcmdehDVP5dYRQMCY7YaRs6bmhdYFSJUCtHoAxAmEBhDB58SCeW6KH9pkDKrQeyECW5wMQFGkHsKgHPxjH7v0+COvEwoXzkS5mHvmzN+x+dPfYAHvDOZe6C2Z2faJUbYx0dLarPf/Vif5pXpLx6rAkXsQYfn4tLEbP2XWgfNG9j/iXdxVLCx/dVsHGDbswqzNAPu1Lz4oDVBtAtSbC4IltSY+MmXNlWQSOzZByGLJpgmwayGc4OgoBSjUPv31MoFIF2vMUuTRDJm0hk5ZAdWzAsUSUzUgA25KuPUCG1kdLAqMlaSMUcwzTp1LMn1mFVZyOXfu7sWBmdsuTuws3j5aKd1Mq7nv3Feee6FN8QsernsEnG13TLwSA+0pjI/fNnoV16Vxj7uItQ3z7lp/xU5Z1z54/u/dj+/btRV83xyNPPo8t28cxXpOWZXd7Ctm0BdcHKlUfFgPSYEo6CFBC4FgC2TTHtO4aRupjGBzPoDqeQcricCyKtJABGu17d6wAtg2UKhSuD1gsQC5VR8AFxsoWWKoNaToFXXmOGTOmw8bQF5i9a0dn38UUxem0p5ttP78fv2zvOH7t0F5J4789wPUotHUAwC/1+/L4EBzHad+7d9/6TSkbc6e7HsvN/dvTTmcXjpQ5fM/Dts2Po5hpoC1fxVM7BErlLEA8VGsuhGBIOwxCCFjMRzZdQTUYx2iVoDRuoScPpGyBdAoghINRwLYcdLZbGK/XsfOgQM5xMLW3AyeffhJACEbLKYCItRuerH6lvwf23PmL0dM79T7PdUen9fWc6FP4shz/H+ATjHyxGwBGAdwGADt278XiNmx2LDGlXOPcbbg4uPdZ5ByOab3A7oMEBw9x77zVK68plUqXUBJ4nW02ijmgLeejvacC5Ms4e0UOlVIGM7oEClnpj28vEBRylp3J5n8xsveRazwBe6QCpBhDKl3A1P4loBZDW82m+Qzdv3iR2FFo6zvRp+gVMf7ba/BjOX59zwMghEzZu3dfGw880dluIa80eG9XDaV6Fbevz6BWSWFKO5BPE2QzDG15IJ9zSEfnlDEBsf81i8880f/Kq2b8F1Rj+2PT6hGHAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjI5OjA3KzAwOjAwwkJuMgAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzoyOTowNyswMDowMLMf1o4AAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 21932000
{'hecke_orbit_code': 137472508729, 'n': 1, 'trace_an': 2}
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id: 21932001
{'hecke_orbit_code': 137472508729, 'n': 2, 'trace_an': 0}
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id: 21932002
{'hecke_orbit_code': 137472508729, 'n': 3, 'trace_an': 0}
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id: 21932003
{'hecke_orbit_code': 137472508729, 'n': 4, 'trace_an': 2}
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id: 21932004
{'hecke_orbit_code': 137472508729, 'n': 5, 'trace_an': 0}
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id: 21932005
{'hecke_orbit_code': 137472508729, 'n': 6, 'trace_an': -2}
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id: 21932006
{'hecke_orbit_code': 137472508729, 'n': 7, 'trace_an': 0}
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id: 21932007
{'hecke_orbit_code': 137472508729, 'n': 8, 'trace_an': 0}
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id: 21932008
{'hecke_orbit_code': 137472508729, 'n': 9, 'trace_an': -2}
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id: 21932009
{'hecke_orbit_code': 137472508729, 'n': 10, 'trace_an': 0}
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id: 21932010
{'hecke_orbit_code': 137472508729, 'n': 11, 'trace_an': 2}
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id: 21932011
{'hecke_orbit_code': 137472508729, 'n': 12, 'trace_an': 0}
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id: 21932012
{'hecke_orbit_code': 137472508729, 'n': 13, 'trace_an': 0}
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id: 21932013
{'hecke_orbit_code': 137472508729, 'n': 14, 'trace_an': -8}
-
id: 21932014
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