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mf_newforms • Show schema
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{'Nk2': 2900, 'analytic_conductor': 5.789154146542828, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [725, 2, [552, 176], [1, 2]], 'cm_discs': [], 'conrey_index': 349, 'conrey_indexes': [349], 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, 6, 0, 1]], [3, [4, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007268007772885, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], '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': '725.2.b.c', 'level': 725, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 29], 'level_radical': 145, 'minimal_twist': '145.2.a.b', 'nf_label': '4.0.256.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\zeta_{8}q^{2}+(-\\zeta_{8}-\\zeta_{8}^{2})q^{3}+(-1-\\zeta_{8}^{3})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '725.2.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 2100898786628489357, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.052', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.976', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.012', 'prec': 17}, {'__RealLiteral__': 0, 'data': '86.008', 'prec': 20}, {'__RealLiteral__': 0, 'data': '15.790', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 1, 0, 0], [0, -1, -1, 0], [-1, 0, 0, -1], [0, 0, 0, 0], [2, 0, 0, 1], [0, 0, 2, 0], [0, -2, -1, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [-2, 0, 0, -1], [0, 3, -1, 0], [0, -1, -1, 0], [2, 0, 0, 0], [0, 0, 0, 0], [3, 0, 0, 0], [0, 1, -1, 0], [0, -1, 0, 0], [2, 0, 0, -1], [0, 0, 0, 0], [4, 0, 0, -2], [0, -5, -1, 0], [0, -4, -2, 0], [-6, 0, 0, -1], [0, 0, 0, 0], [2, 0, 0, 1], [0, -2, -2, 0], [0, 2, 4, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [-2, 0, 0, -3], [0, -1, -2, 0], [0, 4, 0, 0], [-4, 0, 0, -1], [0, 0, 0, 0], [1, 0, 0, 1], [0, -3, 3, 0], [0, -1, -1, 0], [-4, 0, 0, 0], [0, 0, 0, 0], [-6, 0, 0, 0], [0, -2, -2, 0], [0, -3, -3, 0], [10, 0, 0, 3], [0, 0, 0, 0], [10, 0, 0, 4], [0, 1, 5, 0], [0, -3, -3, 0], [-5, 0, 0, 4], [0, 0, 0, 0], [0, 0, 0, 2], [0, 3, -1, 0], [0, 3, -1, 0], [4, 0, 0, 2], [0, 0, 0, 0], [2, 0, 0, -2], [0, 0, -4, 0], [0, -1, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [2, 0, 0, 2], [0, -11, -3, 0], [0, 0, -2, 0], [7, 0, 0, 1], [0, 0, 0, 0], [-12, 0, 0, -4], [0, 4, -2, 0], [0, -5, -3, 0], [-12, 0, 0, -2], [0, 0, 0, 0], [-4, 0, 0, 4], [0, 2, 1, 0], [0, -3, 3, 0], [12, 0, 0, 3], [0, 0, 0, 0], [6, 0, 0, -1], [0, 2, 2, 0], [0, -4, 0, 0], [-6, 0, 0, -3], [0, 0, 0, 0], [-11, 0, 0, 0], [0, -6, 0, 0], [0, 6, 4, 0], [12, 0, 0, -2], [0, 0, 0, 0], [6, 0, 0, 3], [0, 1, 1, 0], [0, 9, 1, 0], [2, 0, 0, -2], [0, 0, 0, 0], [4, 0, 0, -2], [0, 14, 0, 0], [0, 8, -4, 0], [2, 0, 0, -1], [0, 0, 0, 0], [-6, 0, 0, 1], [0, -1, 5, 0], [0, 7, 4, 0], [2, 0, 0, 1], [0, 0, 0, 0]], 'ap': [[0, 1, 0, 0], [0, -1, -1, 0], [0, 0, 0, 0], [0, 0, 2, 0], [-2, 0, 0, -1], [0, -1, -1, 0], [0, 1, -1, 0], [2, 0, 0, -1], [0, -4, -2, 0], [-1, 0, 0, 0], [-2, 0, 0, -3], [0, -3, 3, 0], [-6, 0, 0, 0], [0, -3, -3, 0], [0, 1, 5, 0], [0, 3, -1, 0], [0, 0, 0, 0], [2, 0, 0, 2], [0, 4, -2, 0], [-4, 0, 0, 4], [0, -3, 3, 0], [-6, 0, 0, -3], [0, 6, 4, 0], [2, 0, 0, -2], [0, -1, 5, 0], [10, 0, 0, -2], [0, -4, 6, 0], [0, 2, -8, 0], [-2, 0, 0, 0], [0, 1, -1, 0], [0, -3, -3, 0], [2, 0, 0, 5], [0, 5, 3, 0], [-16, 0, 0, 2], [2, 0, 0, 4], [-12, 0, 0, 0], [0, 7, 1, 0], [0, -9, -5, 0], [0, -6, 0, 0], [0, -1, 7, 0], [12, 0, 0, -4], [-6, 0, 0, 0], [-18, 0, 0, 1], [0, -5, 1, 0], [0, 5, 9, 0], [-12, 0, 0, 0], [2, 0, 0, 1], [0, 8, -6, 0], [0, 2, -8, 0], [2, 0, 0, 0], [0, 9, 9, 0], [12, 0, 0, 4], [10, 0, 0, 0], [6, 0, 0, -1], [0, -13, -5, 0], [0, -5, -9, 0], [10, 0, 0, -4], [10, 0, 0, 7], [0, -3, 1, 0], [-18, 0, 0, 4], [0, 0, 2, 0], [0, -3, 3, 0], [0, -3, 9, 0], [6, 0, 0, -3], [0, -3, -3, 0], [0, 1, -1, 0], [2, 0, 0, -7], [0, 3, 1, 0], [0, -8, 2, 0], [2, 0, 0, 8], [0, -7, -3, 0], [18, 0, 0, 5], [0, -9, -9, 0], [0, 11, -1, 0], [-14, 0, 0, 3], [0, -6, 0, 0], [18, 0, 0, -4], [0, 5, 9, 0], [-18, 0, 0, -4], [-14, 0, 0, -6], [-12, 0, 0, 6], [2, 0, 0, -6], [-8, 0, 0, -4], [0, -17, -15, 0], [16, 0, 0, 2], [0, 1, -3, 0], [-6, 0, 0, 2], [0, -5, -9, 0], [-30, 0, 0, 2], [0, -6, 8, 0], [0, 9, -3, 0], [-10, 0, 0, -1], [0, 12, -2, 0], [18, 0, 0, 9], [-36, 0, 0, 0], [0, -15, -15, 0], [22, 0, 0, 8], [-10, 0, 0, 4], [0, -6, 0, 0], [-22, 0, 0, -6], [0, -6, 0, 0], [0, -15, 9, 0], [0, -1, 3, 0], [-22, 0, 0, 2], [28, 0, 0, 0], [0, 5, -9, 0], [0, -2, 12, 0], [0, 1, -3, 0], [18, 0, 0, -7], [2, 0, 0, 0], [0, -19, -7, 0], [0, -1, -1, 0], [0, 7, 5, 0], [-10, 0, 0, -7], [20, 0, 0, -6], [-22, 0, 0, -8], [0, -12, 6, 0], [0, -6, 16, 0], [0, -11, -9, 0], [18, 0, 0, 7], [26, 0, 0, 0], [0, -3, 9, 0], [0, -13, 13, 0], [0, 18, 8, 0], [-28, 0, 0, 6], [18, 0, 0, 4], [22, 0, 0, 0], [12, 0, 0, -8], [0, -17, 7, 0], [0, -9, -11, 0], [-6, 0, 0, 3], [0, -7, -23, 0], [2, 0, 0, -5], [0, -17, -11, 0], [-14, 0, 0, -8], [10, 0, 0, -2], [0, 3, -3, 0], [0, 8, -6, 0], [0, 15, 5, 0], [-14, 0, 0, 10], [32, 0, 0, -2], [-34, 0, 0, -4], [0, -1, -13, 0], [0, 1, -7, 0], [2, 0, 0, 8], [6, 0, 0, 3], [0, -1, 21, 0], [0, -21, -5, 0], [14, 0, 0, -15], [0, -6, -16, 0], [0, 5, -15, 0], [18, 0, 0, -4], [0, 0, -6, 0], [0, 13, 5, 0], [0, 5, 5, 0], [18, 0, 0, -5], [36, 0, 0, 0], [-18, 0, 0, -8], [0, -5, -9, 0], [6, 0, 0, 12], [0, 21, -15, 0], [0, 5, 13, 0], [0, 7, -5, 0], [14, 0, 0, -5], [0, 11, 3, 0], [0, 5, -3, 0], [52, 0, 0, 0], [0, -1, -3, 0]], 'char_orbit_index': 2, 'field_poly': [1, 0, 0, 0, 1], 'hecke_orbit_code': 9007268007772885, 'hecke_ring_character_values': [[552, [-1, 0, 0, 0]], [176, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 4, 2, 4], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, -1, 1], [0, 1, 1, 0], [0, 1, -1, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 1, 1], [0, -1, 1, -1], [0, 2, 0, -2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '725.2.b.c', 'level': 725, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2900, 'analytic_conductor': 5.789154146542828, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [725, 2, [552, 176], [1, 2]], 'conrey_index': 349, 'cusp_dim': 70, 'dim': 42, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 68753031893, 'hecke_orbit_dims': [2, 4, 4, 6, 6, 10, 10], 'label': '725.2.b', 'level': 725, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 29], 'level_radical': 145, 'mf_dim': 82, 'mf_new_dim': 42, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 42, 'sturm_bound': 150, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [42, 0, 0, -34, 0, -8, 0, 0, -46, 0, 4, 0, 0, 4, 0, 18, 0, 0, 12, 0, 12, 0, 0, 56, 0, -24, 0, 0, -6, 0, 12, 0, 0, 56, 0, 34, 0, 0, -40, 0, -24, 0, 0, 36, 0, 16, 0, 0, -26, 0, -12, 0, 0, 44, 0, -80, 0, 0, 36, 0, -36, 0, 0, 26, 0, -12, 0, 0, -40, 0, -4, 0, 0, 36, 0, 20, 0, 0, 20, 0, 106, 0, 0, -60, 0, 48, 0, 0, -28, 0, -44, 0, 0, -64, 0, -52, 0, 0, 60, 0, 24, 0, 0, -48, 0, -76, 0, 0, 8, 0, -68, 0, 0, -52, 0, 18, 0, 0, -24, 0, -2, 0, 0, -4, 0, 88, 0, 0, -68, 0, 24, 0, 0, -80, 0, -76, 0, 0, 32, 0, 28, 0, 0, 18, 0, 108, 0, 0, 4, 0, -40, 0, 0, 32, 0, 180, 0, 0, 40, 0, -84, 0, 0, 164, 0, -92, 0, 0, 22, 0, -144, 0, 0, -12, 0, 76, 0, 0, 0, 0, 44, 0, 0, -116, 0, -96, 0, 0, -76, 0, 48, 0, 0, -40, 0, 14, 0, 0, 68, 0, 108, 0, 0, -56, 0, -32, 0, 0, 20, 0, -44, 0, 0, 24, 0, -180, 0, 0, 24, 0, -88, 0, 0, 192, 0, 44, 0, 0, 48, 0, -116, 0, 0, 120, 0, -108, 0, 0, 144, 0, -132, 0, 0, 24, 0, 216, 0, 0, -40, 0, -60, 0, 0, -124, 0, -294, 0, 0, -84, 0, 18, 0, 0, 4, 0, -64, 0, 0, -32, 0, 204, 0, 0, -40, 0, -4, 0, 0, -44, 0, -36, 0, 0, -112, 0, 236, 0, 0, -82, 0, 200, 0, 0, 280, 0, 60, 0, 0, 36, 0, 240, 0, 0, -120, 0, -124, 0, 0, -16, 0, 32, 0, 0, 72, 0, -96, 0, 0, -12, 0, 76, 0, 0, -54, 0, -52, 0, 0, -92, 0, 12, 0, 0, -84, 0, 136, 0, 0, 72, 0, -88, 0, 0, -96, 0, -108, 0, 0, -16, 0, 28, 0, 0, -44, 0, 296, 0, 0, -152, 0, -134, 0, 0, -104, 0, 252, 0, 0, 160, 0, 128, 0, 0, 132, 0, 316, 0, 0, -156, 0, -164, 0, 0, -192, 0, -36, 0, 0, 108, 0, 120, 0, 0, -100, 0, -572, 0, 0, -16, 0, -184, 0, 0, 92, 0, 16, 0, 0, 136, 0, -128, 0, 0, 400, 0, 232, 0, 0, -8, 0, -20, 0, 0, 88, 0, 120, 0, 0, -12, 0, 84, 0, 0, -112, 0, 272, 0, 0, 4, 0, 114, 0, 0, 148, 0, 108, 0, 0, 40, 0, -52, 0, 0, -152, 0, -232, 0, 0, 100, 0, -140, 0, 0, -10, 0, 280, 0, 0, -76, 0, 264, 0, 0, 116, 0, 240, 0, 0, -164, 0, 0, 0, 0, -46, 0, -520, 0, 0, -356, 0, 64, 0, 0, -204, 0, -104, 0, 0, 12, 0, -160, 0, 0, 316, 0, -128, 0, 0, 276, 0, -8, 0, 0, -196, 0, 76, 0, 0, -40, 0, -96, 0, 0, -164, 0, -212, 0, 0, -62, 0, -128, 0, 0, 40, 0, 240, 0, 0, 92, 0, -56, 0, 0, 192, 0, -628, 0, 0, 140, 0, 52, 0, 0, -8, 0, -248, 0, 0, 68, 0, 436, 0, 0, 304, 0, -140, 0, 0, 40, 0, 52, 0, 0, -396, 0, -98, 0, 0, 16, 0, 96, 0, 0, 8, 0, 196, 0, 0, 104, 0, 188, 0, 0, -128, 0, -152, 0, 0, -64, 0, -100, 0, 0, 108, 0, -172, 0, 0, 16, 0, 116, 0, 0, -52, 0, 8, 0, 0, -256, 0, 12, 0, 0, 36, 0, 296, 0, 0, 172, 0, -68, 0, 0, 128, 0, -32, 0, 0, 20, 0, -28, 0, 0, 188, 0, -44, 0, 0, -80, 0, -32, 0, 0, -100, 0, -288, 0, 0, -124, 0, 140, 0, 0, 60, 0, 128, 0, 0, 72, 0, -232, 0, 0, -36, 0, -110, 0, 0, -100, 0, 200, 0, 0, 16, 0, -292, 0, 0, 192, 0, -108, 0, 0, 248, 0, 36, 0, 0, -24, 0, -204, 0, 0, -228, 0, 328, 0, 0, -72, 0, 188, 0, 0, -140, 0, -132, 0, 0, 228, 0, 196, 0, 0, 136, 0, 616, 0, 0, -334, 0, 140, 0, 0, -376, 0, 212, 0, 0, -40, 0, -332, 0, 0, 236, 0, -116, 0, 0, 132, 0, -260, 0, 0, -56, 0, 624, 0, 0, 68, 0, -36, 0, 0, -300, 0, -80, 0, 0, 68, 0, -72, 0, 0, -376, 0, -212, 0, 0, -128, 0, -136, 0, 0, -266, 0, -240, 0, 0, 160, 0, 372, 0, 0, 16, 0, -36, 0, 0, 192, 0, -8, 0, 0, -292, 0, 344, 0, 0, 216, 0, 188, 0, 0, -40, 0, -80, 0, 0, -4, 0, -308, 0, 0, -268, 0, -56, 0, 0, 252, 0, -520, 0, 0, -196, 0, -52, 0, 0, -216, 0, 42, 0, 0, -32, 0, -92, 0, 0, -628, 0, -16, 0, 0, 580, 0, -64, 0, 0, 244, 0, -500, 0, 0, 44, 0, 312, 0, 0, 248, 0, 0, 0, 0, 196, 0, 116, 0, 0, 532, 0, 248, 0, 0, 156, 0, 92, 0, 0, 288, 0, -32, 0, 0, -208, 0, -256, 0, 0, -40, 0, -276, 0, 0, 352, 0, 316, 0, 0, 164, 0, -92, 0, 0, 444, 0, 96, 0, 0, 152, 0, -40, 0, 0, 344, 0, 340, 0, 0, -20, 0, -36, 0, 0, -464, 0, -360, 0, 0, -428, 0, -488, 0, 0, 128, 0, -360, 0, 0, 352, 0, 436, 0, 0, -144, 0, -344, 0, 0, 252, 0, 10, 0, 0, -48, 0, -476, 0, 0, 208, 0, 128, 0, 0, -224, 0, -88, 0, 0, 300, 0, -440, 0, 0, -388, 0, 28, 0, 0, -188, 0, 32, 0, 0, 184, 0, 432, 0, 0, -136, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 470495
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '725.2.b.c', 'source_level': 725, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '145.2.a.b', 'target_level': 145, 'twist_class_label': '145.2.a.b', 'twist_class_level': 145, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 470496
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '725.2.b.c', 'source_level': 725, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '725.2.a.c', 'target_level': 725, 'twist_class_label': '145.2.a.b', 'twist_class_level': 145, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 470497
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '725.2.b.c', 'source_level': 725, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '725.2.b.c', 'target_level': 725, 'twist_class_label': '145.2.a.b', 'twist_class_level': 145, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 470498
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '725.2.b.c', 'source_level': 725, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '725.2.b.c', 'target_level': 725, 'twist_class_label': '145.2.a.b', 'twist_class_level': 145, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 470499
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '725.2.b.c', 'source_level': 725, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1305.2.a.n', 'target_level': 1305, 'twist_class_label': '145.2.a.b', 'twist_class_level': 145, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 470500
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '725.2.b.c', 'source_level': 725, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2320.2.a.k', 'target_level': 2320, 'twist_class_label': '145.2.a.b', 'twist_class_level': 145, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 470501
{'conductor': 145, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '725.2.b.c', 'source_level': 725, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '4205.2.a.d', 'target_level': 4205, 'twist_class_label': '145.2.a.b', 'twist_class_level': 145, 'twisting_char_label': '145.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 470502
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '725.2.b.c', 'source_level': 725, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '6525.2.a.p', 'target_level': 6525, 'twist_class_label': '145.2.a.b', 'twist_class_level': 145, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 470503
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '725.2.b.c', 'source_level': 725, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '7105.2.a.e', 'target_level': 7105, 'twist_class_label': '145.2.a.b', 'twist_class_level': 145, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 470504
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '725.2.b.c', 'source_level': 725, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '9280.2.a.w', 'target_level': 9280, 'twist_class_label': '145.2.a.b', 'twist_class_level': 145, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 470505
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '725.2.b.c', 'source_level': 725, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '9280.2.a.be', 'target_level': 9280, 'twist_class_label': '145.2.a.b', 'twist_class_level': 145, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1253275
{'charpoly_factorization': [[[1, 0, 6, 0, 1], 1]], 'hecke_orbit_code': 9007268007772885, 'p': 2}
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id: 1253276
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 9007268007772885, 'p': 3}
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id: 1253277
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007268007772885, 'p': 5}
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id: 1253278
{'charpoly_factorization': [[[16, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 9007268007772885, 'p': 7}
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id: 1253279
{'charpoly_factorization': [[[-4, 4, 1], 2]], 'hecke_orbit_code': 9007268007772885, 'p': 11}
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id: 1253280
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 9007268007772885, 'p': 13}
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id: 1253281
{'charpoly_factorization': [[[8, 0, 1], 2]], 'hecke_orbit_code': 9007268007772885, 'p': 17}
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id: 1253282
{'charpoly_factorization': [[[-4, -4, 1], 2]], 'hecke_orbit_code': 9007268007772885, 'p': 19}
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id: 1253283
{'charpoly_factorization': [[[784, 0, 88, 0, 1], 1]], 'hecke_orbit_code': 9007268007772885, 'p': 23}
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id: 1253284
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 9007268007772885, 'p': 29}
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id: 1253285
{'charpoly_factorization': [[[-68, 4, 1], 2]], 'hecke_orbit_code': 9007268007772885, 'p': 31}
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id: 1253286
{'charpoly_factorization': [[[72, 0, 1], 2]], 'hecke_orbit_code': 9007268007772885, 'p': 37}
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id: 1253287
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 9007268007772885, 'p': 41}
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id: 1253288
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 9007268007772885, 'p': 43}
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id: 1253289
{'charpoly_factorization': [[[16, 0, 136, 0, 1], 1]], 'hecke_orbit_code': 9007268007772885, 'p': 47}
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id: 1253290
{'charpoly_factorization': [[[784, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 9007268007772885, 'p': 53}
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id: 1253291
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007268007772885, 'p': 59}
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id: 1253292
{'charpoly_factorization': [[[-28, -4, 1], 2]], 'hecke_orbit_code': 9007268007772885, 'p': 61}
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id: 1253293
{'charpoly_factorization': [[[4624, 0, 152, 0, 1], 1]], 'hecke_orbit_code': 9007268007772885, 'p': 67}
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id: 1253294
{'charpoly_factorization': [[[-112, 8, 1], 2]], 'hecke_orbit_code': 9007268007772885, 'p': 71}
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id: 1253295
{'charpoly_factorization': [[[72, 0, 1], 2]], 'hecke_orbit_code': 9007268007772885, 'p': 73}
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id: 1253296
{'charpoly_factorization': [[[-36, 12, 1], 2]], 'hecke_orbit_code': 9007268007772885, 'p': 79}
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id: 1253297
{'charpoly_factorization': [[[8464, 0, 216, 0, 1], 1]], 'hecke_orbit_code': 9007268007772885, 'p': 83}
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id: 1253298
{'charpoly_factorization': [[[-28, -4, 1], 2]], 'hecke_orbit_code': 9007268007772885, 'p': 89}
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id: 1253299
{'charpoly_factorization': [[[3136, 0, 176, 0, 1], 1]], 'hecke_orbit_code': 9007268007772885, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 3, 'label': '725.2.b.c', 'level': 725, 'portrait': 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zTMTiQstQPafcEg9ljuCTZMGBZbhhPnFRXPZ8M0bJkLWT8zYN3MkA0zQ7ast2zboLhsq0dV1Tl6osk3nvV5/EDM08cjEtXhba9q8a5XWqpqhgPHJzl6RnP6QsK5FNyHFizXXzHPz31gma2zE5y5MMmF5QqLLY+llmSlk9DuJrQHcODoAkdOtS578vD8qw+cPL/jyKnzX7npO74rvP/2T73UkPiWbt/WDH5hsU0gI2Irf+XBJ4688qd+8zPy3a84+Mr/5V1n9MLKOpbbDRZXaiy2fBZbmsUWLLUSlloRiysJ51bg8KJgbnaFX/zeRW7YVePk+WnOXKhzZkFzftFybiHm1HzChU7M5PSAW67q8oo94MsqgQo4v1Th7ILm3JKgN4Q4NlR8Q72SMDURY4Dj52LaXdi+3qNeHWKtAOHT7Ru2bRiyuKLBOimy0oVhDBbLUitk8zqPTl8hlEWYIc2Kx7aNA1Z6guNnNInRzDQljYog8CCOBb2h5NyS5Oyi5fxyTBAMwIu56fIur7xCMNessrjc5OT5gDMLcH4h5vxSzOklOLxoefnlC/zS9y6zYbLJiXPTnFusMr/ss9CSLK0kLLcjltsJSx3DQkdyugPLy13+y78dxN/9usYD/uwPmaC+54EoFj9Tq1qUN/lSQ+UFb9+2DP7Hf/ppbrnpWv7lv/nJX/7Tv7rrf/3jT37tkn0nVnbsP92Vr7qyzcWbEpJEY63CWsfeWAlIQCCERQuLL+HMYpWHD0muuniJPVsH1CrgaYnvKXxfU69Kap6k1/XYf6zCVx/3OX5hSDuO2H9yyPqZJd5+yzJXXdLh5XtaHFuIWegJasGAI2csrXadKy+SrAwS9h5TNGqa547DpZssgzBhkPhoHTHVgH0nA5RO8GSM9qA/lNywp0e/J7nqkoR2P+H4mQY7NyjqtZCVoWXdZI/lbptP3glPHk14+uiA7ZsWuXp3m6npkLfe1OG7XmO5eEODJJrk6OkJDp/yOHnOcOpCxKkLCYcvCE6sRLxs1zy/+L0d1k9OcvLcNOcXa8yv+Cy2JMuthFYnYqWbsNy1LHUF53uKpXbM9Xvm+bF/NC8DxY4LZ0/sTOLBjRMz26teMPO1Rx/8HL/3kT9/qSGz5u3bksE//enPcMPVW9SX7znw8/sPn/vZbzx5TC21Q1ZCzemu4art5/mNH53nmotrnF+cYrFVY6lVYanlsdTWLHdguZWw3I5Z6sQstODkskBXB9x8xRLf/ZqQnevqrHSbXFiqMr/ks9ASLLWcRFjuGNp9Q3to6Q1iZpoR29YbQBB4llMXPIQM2L5OsXOTZdO6HueXhzx1sMF1l1pq1WWePTRNox4Shh4zU4b+AC7bNuDjd06ye2vMcGiZnZBESZ9GJeC5YwOqXp1rdsU8fSTk/KLP5pmAnRth24YQpSJOLYDvWYSwbF8fM9WQdPoB3Z5Hu+ex1FYsrcBiy7DUSlhoJZxrweIgYdvmLt996wI379FUvCZnF5osLFdYWNEstQXLLcNKJ2K5k7DStSx24VxHcX4l5obd5/jQjy5yyeY6iytNWt2AKK5j/V2J1Zt+eaV/6S/V/VPJ69/4jpcaOqtu31YA33/gANVKpXr69Kltzzzz3PuOnzj7n57df5LOQNAdQqsvuNBTnOnEvPyic/znH13i6ouqXFieYnGlxnK7wlLbY7mtWW5Dq2NY6cQsd2KW2pbzLcGZrgXR5V2vavHWGwwXbawQhjWWWxVWuj6tjmK5K+j0BIOhJYwtSQJKWgIPqoFlsmlZNx2hvQGHz4Y8cyjAxHXefGOI9lZ4bO8EOzbClx6OedWVARdafSpaEScR01MQRx7ai1lcrHHLtW2+9GCDnRvh0YNDPGq86QZDLPo8czjh6KkKWvqsn9JM1QXVQOD7AiUgNhBGlkEInZ5lpWvo9AwrPcNi19JPErZv6fHWV7R41ytDMA0WVya4sFR1erutWW7BSieh1Y1ZScG91IOzbcV8O+Hlu87zoR+9wOXbq8wvT7LSqdHp+bS7HgsrEhlspd5Y/x+27dj9l5s3bTkxGA76l+7a9VJDKb992wD82NFDrJud8w8ePvR9Bw4e/PBjjz8llpe7sjc0dHoJnYGl0xes9AUX+pKznYgbLrnAr/3QItdeUmFhZZLFlTrL7YCVjs9yR7PSEbQ6llY3YaUT0+oalruWCx3B2ZZharLHd7y8w017YravVzSrHu1OhcCTgCKMJcYIjIXeABCGqcaAg6ctxobc8WidYa/KJZt9br6qR2RWuOfxSa651OPguS6t5SavuKrH1x4LWD9t2Xvc8i/f2WbvsYD105KvPq64+TLFUq/NkZPTXLMr5J5n+sTDGjdd7nPx1gH9uMvtjylIBIdPaZo1jRbQ60uMFSTGEsWANGjf0Opa6o2IrRuHvPKyHt9xXcxMvcL5pQkWV6ost92xWW4LWl1odWJa3ZhWN6HVsyz1JOc6goVOzI275/nlH5rn6p0V5lcmWOnUaHcD2j2PTs+j1VW0uxBTMZdeepXdufPiH7/okkv+aHFhPtz1bQLybwuAh2Esh8P+2x+498uXDMP4Q4899qg3CCEMoTeI6Q0SugNDNwV5KwX5mVbMTZdd4Fd+aJ7rLvZZaU8wv9yg1a2w0vFZ6WpaHUWrB52upd2LaXcTun1Dq2eZ7wrmuxAlQ66+tM+G6YRuz/KWVwzZscEQJxItLWEEdz9V4cSFChunYp49XAFTY88WxbW7DUGlx2MHe8wv1LliR53m5DIPPu1x/aUVFnsrLC832bDB8vBexT99XZdH9mq2rPNY6LZYXprm2st6PPhswnR1kisu6XKh1eLh5yep6jov323ZtW0AsstTRwXrpiPOz0fc85THIFJICYmx7NgY8h2vCOl0FZumDNdeCmFYY6lVY6kVsNL1aPcUra6k3YV2zzklnV5Cu2dY6VmW+pLTbUGrP+TmXfP80g8u8/JL3cXR6lRp9wI6PY9OT9PuK7p9SXcg6PYT+v2E6657eaS0/sl3vONth2rV6he09sxLja2XPJMZhV2M6X7vuROP/cbC+QPTFy4sU6tIlBJIYbEjcbCzAIWwSGmRUvPIgfX8zEc177x5ife/bomdm0POLTYJ/CrVwKcWeNSrmk5V0uh7TNS1u2D6CeuHhv7Q0hkELM1XOHXSEsaG0+digsACAl9ZtBT0+gqBR9zTvGyH4OJNlm2bewyTDl9+RLHv0BRvvC7g2suW+diXLb6osWNzj6cfVGyeVMw2e1RUlTDyuNCBekWzZb3gyX0h1+6q8pprFvjj2/r4XoM33Gjxgh5ffzjkSw/Vef5olYs21dixMWFuKmTnbMSVOxKUMmhlAUstCJibDAgjj07P59mDHt2BptdXdAeSbh+6A0u35757p5/Q7VvafctKH+Z7ivPLltpEi5948zz/+OYhV19U5+xCk1a3QicDd1/R7St6fUl/kMq4CKLEcv+Dj3jNyZnfqE2sX7r1lhv+bavV++OJidpLiq+XFOAmaQP2B1vn7vqVs0fvnhbJkGYtQA8VSoJbYAqACwFSuE4aJS1KJvhS8vTBOZ44UOfgmQu885VdXnn5gMlGk6VWjXq7QrPv0+1pd3IGkv5A0xtqBkPLIDSEkSWKLHHi7mHsYw1IJfC0oOILJhuCqQZsmDVsWd9jdqrFVx6De5/wkGaCN17n8bI9He5/PiIcNLn5ZYJWv8+FxTo37TLMTvao6oBBrJhvRygjeNkuTa0x5PH9FV597QSvuLrD4/sV2Amuu9znB962xNeeDPnqI3X2nqiwbU6xYbrKVKPGRAOqAXjaoiQYC3uPCpJEEMWCMIZhhPuOw4T+0DAYGnoDQ29o6PahPYT5ruRCB4ZmwOuvWeLtr2zxT95giOMm5xbqtLsVOn2fbt+j21d0+oreQNAbCPpDS39g6A8ThqGhPzScPH+a545+efr0kvk//+m7XqUXW72PzryEIH/JAN7vLRNF4gcunLznV5bPfGWdsH0mGzWUTJASpJQgJAKBEAohhHtfGJQEpSxaWTxlqHqChV6VT9y5ha8/0eZVV67wgdevcOXOLjOTNRZXanT6Ab2+lwJbuXsoGEaSKBbEsVvqXe2WCyq1hooPtaphuhGxeV2PmC4HT0d88p4KR07WmQyqXH+55qar2jx8oMUd32hy46UVtm3s8fE7BUoENBsRK90hxoISMNfs0e74mLjK2191gU98qcbF5yu89cYeYbTIPc/MECUVbrh8HW+9vs2lW1t8/fEeT5+s8dRRny3TkummoBYIfM9dhFKAEBZjwRhLFKcXa2QZRu5CHoTQD6EzECwPBUsdEHrANbtX+MB3rPCqyxNmmlWW2zVanSqdXkB34NHtFytBbyjpD6CXXjiDDOCRpTewhLFifqnFn/3lV9c1PPMr737bLXZ+YfkP5man/uED/PyyRWnEzFlhFy587oOD/vBDC+een42GbbTyqfgJxgicjw0IEEIihEAIiZIaKROUEunybPCUJdCWqhYsDxSLrSk+dXedh57tcvPVK3zgDStcc3GLmaRKHAf0BhW6fY/+UBNGiiiWxIkkMQJjhcuCCkvgG2qVmMAP8b0hpxeH3Pao5NApn6OnplAm4OKNPpftVFy3p40K5nnmcIPNkzWuuAg2zC2z1G5y5WZJbCxfeSRg2JNM1mPedMOAL9wTceJcg92XeJxdGfDcEY+t66e4euc89z/d4cHnBMPQZ8/OafZsDdizpcPhs0scOg2P7Ktx8EidmhYEWlIPLBUPpHRrnrXuYo0TCGMIE0F3KGgPBO0IQhNj7ICXX9rmA9/R5lVXJmycDhgMJlhsVeh0A7oDn15f0x0oegNFfyjoDyT9oesbHQwT5/EPDYOhpR8a+qFlEIEUiuWlFf7kU3eue/7IhQ9V6vX4P/yXOz5WC57n3//Lf/UPF+DYIdYErzrqPf4HcuXD014yP1vRAVr4hFGMMSJnUCkUQuDYWgqUEmil0keDVgmeFvja4HuWwLPU/ITJiqAz9FhuT/Hpe5vc+dSA9VM93ndriz1bBwz6Xa7Yadm6QTGMPJKkSPMLLFIaPJ1w/Lzl6DnBSt/w+ftrnF6YwoYeUxXFphnN9g2aizbDFRe3MXKB3/9CnaWlCW7co7ni4hZff0ogYo91U5J6LaYX+UgrwUqU9mkNBOeXBJfbGrde1+GBx6tsmvW58Yppvv9tC/zRlzo8sr9Od+CxuNJg56Yquzf2uGFXh3e/usOZpSU+f3/AYi/g+FmP06d9PCWQ0q16xloSA5GxJLFhaibiqst7DIcRe7YOec+tQ9ZNKKYbAVFU4ex8hV7fpzd0q1w/B7Z04B4KBkPcSjBMGISGYZg4CRTZFOTQjwSDWBCieO5kh0cPPTh788umfus1N62LNqg7//x/+9Af859/8p//wwP4j/7Sn7F+OhCfve0jO+t6764N9ee4aH0FIRoMQoOSHiJdZoV0WltIi5IKKSVKSrQSaJU+aoGnE3wt8D1DxbNUI0sttExUEqaqgl4o6YR1jp6q82t/Pg0mRsQx113VY+eGkDgGYw3WuiSOFAKpBNrz2X/CZ++hCvWKpuFLZmuCuRnJumnNpjnF9o0Ju7evkIhFfvszTY6fmOTGXR57diT04w7feCZgsuoxM2GZbITUqk4KGSNpDRRLXctiK6HVrXLLFSs8urfHvhOKyWaFGy6f5Ifevsh/+yw8fqhOt29Z6WjOLzXZMFtj3dSA7TMD/n/v7dGstXj6KOw/KfE8i1IWIQxg3f8sxDHs2JBw85UxSeQRxQHW1hiEHucWfPpDt6INQpXLt34oGAwFg9Cx9jB0Wdnh0DAMDYPIpO9ldwfufiToRIJ2lK4W/T6Hjjw1uXvnxR+56Jo3xL/+I+ZT//sHf9PWNv6bfzgA/99/4xNcu2NaiZ//2Lv+zz878/vP7j3Ca69u8h+/v8uebW10L0HJinNGhEFKi5IapawLJpVK9bbE005z+p5i6EmGoSEInQasRoZhZAhDSzOGYWQYxhDGgkEkGSYBUVJh36E6T+2DxFoctJ029iT4ytV8NAK4YiM0qzBRl0w1FDOTmnXTsG3DkI1zK0R2id/+zASHj0xw7UWKi7ZILt6yzF3PxZxfnOC6nZKppqHi9wlkgFWCOJEIa4mTkOVuhfOLHtfuqfKyXR3uf7zC+ilBrdLg2l2Gn3jXIr/1WcNzpxusdA0rHcX8smZ2ss5Us8pUc4JmLWKuHrH92pDAi/F0jFIJUril0OIuqihSXJjXRLEiihVhpBhG6WMoGUaSYSgZhJJhKFyAGgqGoWUYuuM6DBPCMNX0kXt/EMIgEgwi6IUO3K1I0A4NZtDnmp1L/PwPLHPDngdr1Vr4sfnDl5kLnWs/c3zvx5Ltl33w7z/Af+8jf8FU01d7j595z8LZs3/8xHPnKr1oI5+5t0NsFvilH17hss0JWiVImSClQan0Lh3APWXxtMLTFi+U+J5wJ8ETDH1FGDmgR5EljBPnisSlewJxYkkSQ2JwetuQgzuTQlqC50GgBZVAUAsk9ZpioiaZmhCsm47ZvqFHo77CZx4IueeZaVYWmly1TbF9o8elWwckYoWvPFKj7mnmphSN2oBnDsPzRzRXbrX0hoqrL4246mLLubMJ88s+/UGNN1/f4b6n+xw8rahXJYHf5MqLDL/0wUXufq7PF+6eZbFt2b4uYbmlmWwqJuoejZpHvWqpBIbANwQ6QSsntWTaWmktLmFlBLGRxIkgjgVRLAljQRRJhpFzXsJIEEaWMIRhlBBGhrBEHMOofHfg7kfQiwTtSNKKoD+MEXGPa3cs8ws/tMg/usnQ6U+ytHK6MrDr/jS0x//5ud7cXz36wKeS61/53r/fAL/5mpZcWjHv//o3lv7Hgf3HK+tqHheGkq5o8jcPSsKh4j2vbfPe13WYasZ0eglaBqnOdnrY0xov0gRaMfAc0ww9SegLwki4kxMpohjCSDoHIS5svzgxJIlzFxKbOiWp1s/cGSWd7PG1IPAllUBSrwqaNctkw7B+esjcVIfYrvCp+yR/9KUZ1lUqXLVNsG2jx45Nhu0bl/nMNyxLSxX2bFBMNaFRizh/THJhOcDfCcNIMDchmZyEg0cty23DuYUKl+6o8LrrOtx2b4WZBgS+j5KTXHmx4IffegFPXuBv7p/i+dMV1rcj1k3GTNQVjaqiVpVUA03gQ+CB1s5hkgKkKIEcd2EnBpJEECekQHc+dhhDFCWOFCJDmD1GJrUdM1cmtSBjJ0m6kaAdSzqRIRyETARtvvvNi7z31i5vuBZWug16/RqDsMpy63glVpWPPHUG3Q29v8DxzN9PgP/sb32GTzyQfLC78NR/vv/JC00hFYGyTGqLRdOXDb7yqOIbz1U4u7zIv3xXj6lmzDCIaPcqaO3jaQ9Pe/hhQuhp/NBJkzByqXTHOMIxUcpKcQxRAkninARjXMBljM16OFNwO4C7wFXgaQeQSgC1iqFRjZlsxMxN9pmdWuGBfSF/ekeV/Ucn2THhcfEG2LLBZ8t62L2tTS9u8/DeJlXlMTelmGzAZGPI1ESM72uEcBdXf+iz1I5Y6Vla3ZgLyz7bNjR4xZ4L3PFIj/2nm9SCCE/5CDHBxZsV/+wNC7x89wX+9I4GDz87yWJXs64ZM1mLqVUk1Yoi8ASBJ/E8F6soRWofOpRbXA+rMeRAjxOTrm6ptRgb4sSBO44gjG1xj5wrM4gdqfQiQTsWdGIYDGJM3Gem2uHHv2uR/+17etQCj1a7Rj+sMAh94kTheQIb7W1unVz57VtvvMT/sTN/8EfNTT/w9w/gC0stlFI/+Mu/8+lf+Zuvz894SALtdG7NsyBAoug166wMNP/5Lz32Hl7m7a/uces1XdbPhnTaVfrax/d8At9jGGoC39l7GcCjSBLGbtmN4tTTTkitP1LmlhhLAW6XpEyZG7RyCRPfs1R8Q7US06jETDWHbJxtc77V48Of9/jKo9MsLde5ZE6wbZ1g8zqfLesEOzcN0P4Kn7hHc+RknV3rJVMNyUQ9Qcohp+ctgZZIAdYKwkizfV2bR0ho9xTLbcv5pSq7tlR4960t/urrPsfOB3g6QggPY+tEseS6ncts/542X3m8x8e/Ms1jx+psnhLM1hPqlYSKLwg8ge+5WEUrXOAsRV6TYXEXmbE4pyVxgM9AHidO0jmwQ5i4WpcwSx7Fgn4MnVjSiaEfGpLekC2zHV5z7TLveHWPt1xv0KLK0kqVMPIZhj5hpIljCRZqFctFtWMzve7OD62/6J+ocPjej/rB/5yJW/9TAL683ML3ve//wpfv+ZVDzz+3biYAKW1eHCSERQlXEefFgq6o0Ao1n7irwt1Pd7h2T5vveUOPt97YYmYyoD8I6A99As8jjD3CSOeBUhwrokQSx5IoEcSxJEkEiRGF1jaCXJXYLCPqkkUqTRb5niHwE6pBTKM6ZHaySz/q8/VnLJ+8a4KHn51kyve4crNl47Rk/YzPpjnJlvUhF21e5uljfT5/3xwTSjM3IWjWBc1aRKuX8KVvVGj4FiEcsPpDzdtvHvLFh1xNTKtruLCs2bKuwTtf2eXhfR32HvSpBzFKCgdyU2MQOq3/z17XYtfGC3zi7jYPPj/JieUqG5qCiYql5hsq2uB7oJVASdIEmfveWfmRSaWaMcUKF6dAdwQBUSKIkhTYibP/erGgm+BinjCkXu3xzjcu8f43tLluV8L6KY/+oE6766fg9ggjLw9uEyMZRhprA5YPHl3XiR74lZ27Xm16vfYf1mrNb2+At9orhIMBvi+/9/4HHvj1r3/9zplosMxsUxHletgFc0o658KXUJHQkR49T3GqHXDmoRoPPdPlr67q8J7X9XnTzQOmJ33CYcAwzg6YJkqBHieKOEkTNkkBcGNT5jZFTZkQNg0qXR2H1gbfSwj8iGoQ0qj2Sejztcclf37nJM8enUBEATumLBsnLbOTirlpnw2zkk1zEds2tDk53+F3v1AnHlbZskUw2dA069CsRQgvpN2vM9mwCOF8/iiWTAeK2MR0Ip9OL2G5rTg9X+Xyixr8yD9a4UN/EXB8vo5WUXphaOK4wiCUbJgJuO6SNldd1OW546f55F1V7nhskjOtKvVA0fCh7ll8bfEUaOnS+UKMVtcZwBp30SVGkFiIE+H880QQJi5J1E8E/QT6sSWOY0w0ZKbS582vX+F9r+/wqisjJqoeYVRnuRUwjHyiWBNGXhobaaIoJaJE5gFub9Dj5Ll71y239a/vufzl8YmTZ/9kerJCozn17QnwTqdPUKm846mnHvtv33jgrmY46DBR1wxCm2pkV1utE1CxO/A6ccVMvjJUE0FP+fRizYVhhb95qM49z/a44atd/tV3dbhsW5t1k4pmTRNGPmHsEccFyJMM4EZirMRaJwlsHlCmqX5lXRCrYwI/xlMh7X7EfDviNz9T4eiFKR7fO4k1PjNVwbpZy+yEYKapmJn0WD8j2TATs3mux8zkMl95wvDY85NctUUw1ZA0apJmzVCvhghvSBBotHJ/31pIEkl/qOkPImIj6PQNna5lqe1xbrHJTbu7vOLyFT7x1QrVJYWWkQOk1cSJTxi5Hs/ZyQovv7jLyy/p8shrznB8XvKnd0xyYaXGqcUAX0nqnsDPZJh0gWdO5JlUwTF5bAWxgcgIhgkMYgiNhSSGOEKqIZum+ly13Z2P6y9LaFY1cVyn1XHAjlNguxU2syUlYazyVTaKFGEk6A8lK50ux75+10wY8d9eceO1y71+//N/l5j8OwP4oUOH2LRxg/rvH/nzS44fPdTstJbxPYWxBjBOEki39KnY2X86AZ0IPGXxY0slEdSUoK8EPR3QTzwWwyp3PDbBA8/3qQdD/vlbWmyZidmxqc9NV3TQwrWICeHkistKulppa0vMTZo4Es4zt8QgY547Knl0n+a2hxs8d6JBGNdoaMVc1TJdt0zVrPPBm5rpCc3MpGDDdMymuT4b55a559khv3/bOjZOauaa0KwrmnVBoxZTDYY8cEAxCDVe3YHKWkEYSypacc2uPg89M+kKn/oJK22PhZWA8wtT/Mhbz3NqYZGHnpzDk4CIMJADaBhKun3NVKPCZLPOK3b1eM1VPb7ntfPsO2n44sMVHt5X5cCROrHQDIeKXqRQeelDOfBMcwLWEBuLNQZPJEz4IRUiXnFtl50bB2yZjfjAm4ZUfUm96hGGNVodP11JdUo4KpcjGbizewbwMJKp+yWdTx+1OXbw/mYgzl5y46vfr44cOZxcdNHF3z4A37fveaanJ/zHHnv0+yaq9j/3u8tIqbCA1gKLRAiDjEXqbQvH4Cpl8Bg8KfCMJUgsFSWoJYKhgUHi0U88ekmFTifh1z8xhY0j1s8NuHzbgJmJmPe8rs+2dSFRJFK9LaHE3KT6U0qDkIJP313l6cN1hNYcP1Pj9PkalapiIhBM1i3NiqFZgUZVMFFTNBuKqYZmZhJmJ2PWzwzYvK5NYlf49H1N+t06l26xNGuKRk3SqBoalRjPC/nKQxWGPYm3znWLZhKlXlW8+YY+9z5h6A4l3X5Cu6dZ6WjOLda4bGeD97yqzePP1Ti+1EBJA0SpXvaIEsUwcomZ7kDT6vo0qjXq1SGXbRlw4+4BJy+0OHZ2Be0lPHVE81d31RDKFa4xPn8wJSKsJQoTtq+Ped/r+sw2E3Zvt6yfgST2GIYN4thjue0RR4oo0Wkc5ACdAdyBOQO2SOOkwggI07sxAs9TnD7bojHNf37yycd727Zs/6MD+/eGu3Zf9u0B8DOnT7G0uLDr5KlTH3788Uelpx2DisTZFQKQQiKlA3MsIZaW2Ah07HRilFi8xGnAQFsqiSVOBKGxhIlgaCTDRBIaj8jAfLfJXU8bLAmfe9iNbMCa9J5l8VKLTGQViRKpFHGkkUbjaUkjgJ1zlrpnqAWGWgC1QFCvShpVJ4cmGpKpJsxMxMxNDdk01yFhmd/86wr3P7OOi2dgqpayd03SqMbUqiH1Wp9qtUagJEqmGhwnB6LIY9AX9IcJnaGiOzB0+sa1zNV9Tp2f4JbLh/zEe8/zG3+lObESIITB2giTWKLYI4wkg6ErY230NfWKT61aoRbUqAQRjWrIdZeG+F7E9ZfGfOD1PbSK0ySQQQg7KspTSWeMRAhJ4CnAZzDULC5rV7eTZDFPeo9lEQPFMn90eju1bdPEUpyW8kZ5ook0oBXEieWxxx6VSSI/3On07guHg2f/LrD5fxvgX/ri5/A8XT129NC7Dh8+JCqBdm5J4tLurhowa1CwxNKiEotKQCVOG8YJ6MTp8ziL6JM0qs8ieyOK10YQGklsJYnRRCYgSW2v8i3PUgrQQrhMpYJK1VLRlopKCDwINFR8SzUQVH1JrSqpVbQDeF0w2TBMN2NmJoesm+6yad0iv3+b4eN3rGfrpGK2YWjWFY2aol6DWjWhUY04u2g4fDag4rvyW8gq/QSDULNzg2HD7ID2wKc/sCmLS1Y6mka1QqM2yQdef4EjZ8/xkc9vRkuNxZCYhNhYolgzDBX90BVF9SqS2kBTDTyqQUKr42IM30tcwsxL0NI1Skjp0vkivbvSFVfC6UAuaJm0ytK4uCZJJMZIYlPEOw6cWYCfPS89xmmNeiLS99PkUvo8SR2bxAiiCJ548mlxSaf3rh07dhz+7Gc/23/nO9/50gL8pqu6/oXFpZ8+0D3/03E8lL4vSRJnTSVJCm7hgC2lQUlBIp09pxNLbFzQmSRphs2kIE9cyWf2XvG8qJRzXq7IA6Wy5gbSTJ4LrLQ0aEla0wKeEnjaOt9YCyqBpOJLqoGiWlE0qpJGzTJRT5hsxEw3h8xO9di2fpGHDwz5xN2bmKoErG8YmjXhwF2V1CuGeiWmURvy8H54al+NS+ZsqnuLtHl/qLh+t+XSbX0eeXaS3tDSHyR0+zoFuUetUqVameS7X73EUwcu8NDeDWAVxiSuHDa2xJHN60n6Q01tYKlWFBXfEPgegZ8QaIPWCZ522eGsDMLV/lgQFkGh54rg3JUQm8yRMpn9WrJiM2AbB+DidZYtLe5Jztbk4M7IzJ1fwbDXk0ePn/n5E0uBb3X9l4HwJQN4u92V4bD/C088+7F/uzB/1vc9z4FbgDSuOk9lrG0ssRQkyiUUVGJJlEUb99odOItJr+Ykzz7i2DkFuUkzcVmywlpLKfM+suJmqeosoaNkmrFUlIq2XPYv8BWVQFENBLWqoFG1NGsJE/WYycaQmYk+m+aWeWh/n1/44/WcODXJRbOGyRo0q4p6VVGvQL2SUK1E+N6A1sBVQ3rKImXxyRLjGC6KfZrViF5s6KV11r1BQqcnaVUVtU5AJWiwY0PEL31fi//4Mck39q7H4oL3JDHESUwYG8JIMQgV/UBSHSoqviTwLYGvCLTB85zfr5VNa30cwFUqU4Swow26aWrfpiRi01qWJAV8YopHB1SZPooC4NnzpCgNyAGdgTp9dLGFe3369Bl/92WNn/zhD77F+5kf7f8Hz6/+rdP5f2uAdzodjEl++b77H/g3Tz13vtKoaLTOwA3KQCLdF1PSAVZK9yWMdOBOUnCb7LkRGGPzNLLJPVqwJk0UpSWg5TtjAE9ldxpYOoniasqdJNJpK5qnJYHvBgBVAjeSoRpY6hVDo5bQrEVMNEKmm302za3w0L4e//GPZtl/Yprt085haVQl9Zp07F211CoJtUpElIT82VcbSKXwpEWJwiY0NlvCPf7ZG5e5/bGQThjQSwHe7Ss6XUUr0FT8gMBrsntrzH/6gUV+7o8EDz67HmMliXFp9Sh2hWbD0DCsuHLXIBBUPEHgu8ymr22esdXKIJXzxqWwrlEiA3iR8gRSEsHlEpzbkgbyGYDTqQMmT66Rsjv5ijvK1KSERppFtTnATdpRVat4DFpnKo889MD/8oqbXyM6nc7PNBqN/2cBfu7MEaw1rzh1/Olqo5Lgey6IxDow5SCV2ZdLgZ6nhzNwZ8tT+iXzWomi/coBXbg6igzU2YEf+1wZwLMajCyTl7G31lndicTzpKvf8AWVwM08qQUJ9aoDd7MeMtnsMzfZ4uF9PX7hD6d57vgsW6YEM/WSNKlo6hVXv1KtxFSDEM8bcnpxCk8JlDSpLVcEmUkiiWPFxilLHEe0o0raKWPoDxI6A0m1p6j4Hr5XwdMT7NkS85++f55//wfw0PPrSIx0AE8sUZykTG4YBoZKKBn4KpdgngeeTp0rJZ1ElKQyBUT6uAbGnVwhTQoh8uSQSZNDWbY4SUrvm0JymjSeysoC8vOd2FRuFuDOVuZz833uuvfR6uTsllf839lx4m8F8CPPf5GpRrd27713+lW9jJoYrXGwqaxwdSDuyyqVnVhBIh1TJ7q4ikeBnckQmwPdZnIke/4Cn02KoojK9XaKHNxKyrRRIpMnUPEg8A3ViqUaOP1cq0Y0ayGT9T6zUy0eOzjg5z46xTPH59g0qZirGyaqgkZFUqsoalVBteIuDpfqD3lor6A78Kko0ossbcOzRaAZxZp6RXHTFR0efq5JL3IypT9M6PUVnUAR+Arf81P9PMllWw2/+kMX+Knfgwf3riMyksiYtFm66MEc+pLAN469vaKOXqvsTipTChkn0yzvWiDPkkI2AzjFeXZBKWuuvGZMghSP5feLQrjyuV7uLPAnH/+8/6Y3v7n2x39+W++f/5O3/c8H+PLicWoT2yaPP/eJ36357VcPq0MiT7toOV2u8iKnVJoYWyxbjrEL4Bsl1mbtEqBNDuyiKZhUe+cnQzg7UsgU3GmRkcoBDiqtGPQ0+B6uE8hPC6yChGoqLxrVIRONPlONNk8eGvJzH53iqWPr2DCpmasZJqpQrwjqVUWtqqjl7J1QCWIatQH3POWz0qowNVWkyTPAGJM5C4p1M4rXv6zLPY8a10UTmhLIJRVPUvE0nvbRuoqUhsu2Wn7lhy7wU79neXD/OiKjidIKQFf26pg8iGReXehridZpEZYUKJ0dG/LPl12EmVQRWVUaRUJo/G5Kj8aUHvOVd7UMGWHxEqnlF0faTzoIE0Lbe/X+g0f/4N/+6Hf/6M3XH1/Zs3v7/1yAe/YwSefkT9lw7/t9cYaJep3+ME7T5SIFsiVRIr16U92mSkGjKa74TH4kuQwhZ++RQHKcuVOkZxm5XHvLrIKu0N1ZxaBWuPoMbfE811hc8Q0VP6FaialVIuqVIY3agOmJFo8fGPLTvzfLk0fWs27SY10tYaJmU3Cn7F2RVAPH/pUgphaExGZIJwwQSuJlDJ5r8IwEUr848qj7A1cuEFaYykA+SOj5jsEDX7qaeJ1tQGu5coflQz96nn/3PwwP7ltPZDTDRBAmJmVxQSUyBJ7F91zvqk7jDq1cibCSMj0+aVd+9lgqzMovzHKsMwbunIRKxFQGdw7qMpFlxJcaCxnAnTvkyp2HEZw6tojxjr9/5+2PHx6G0b//n8rgDz17ksfPb9m+PvzFq5TZR6MeYImxuDkmUep/mhLIi8BRFMxdqknORqPZLJi0RSBWMEWRlbTlNTNj7XJQmS23aYeOSoMprdPOoLQIKaserHhJqpsjqpUhU80eE/UOD+2N+Znfn+WJI+uZm9DMVRMmKpZGCu5qxdmJGbirQULFj2nWQ/Yes9z9eB1fSjxl0iCu8CiyVS5KFLHR3HpdxCUXdTl8ospcjaLPcZjQG6QsrBVae3mXkxCWK7bDr/7wAv/+9wz3PTfHIKq6ZFhsqaU13IGHA7nOVi+T97ZKleQrnJKiBHBRAjmr9EoBcjsK8LxCsVh511qZx99LcrlCbiGGsevQH8Qejx48zYaH7r7qt3/uh7d/T3zguNDf+li4bxngx0+cZf3sxI7PfPWh//rkmfY7btm1TMVfxzCMMdaloV1zMCX2LttJNgWzzUFdXtIyf9jmnvaYS7LKLUmZexzcwiJVZgumNS8qZW1t8bXB8wyBZwj8mIofUwlCapUh0xM9ljs97n0WfvXPN/D0oVlmU3BPVi2NqqBeEblX7pwX49jbdwCvBkPCJGHQr1BR7iKTQoxU8mWJFBdoaqfl9ZBhaF1Xeg5wg+8n+J7G86SbKiC9HOAIuHqn4Fd/dJlf/4uYB/fNcKbVZFCXTCaWRmyppBMHAs+m3n/mpNicvTOpkgE8/7zphy7jPFeI6UnJVtUC3KOSMovJcrCPAb3Q42nBl8nq0dNe2kQRiRWu3Hr2Ha3zjyeqdtP/srJ0/tjk9Pq/W4CvLJ0kGlRvDFcOvst0zuKpidQZsXja2ZQiTR4kiUj1d9k7zfoC0+SMyZZrmx4AUTowo5qvuI2qwuwkuHEPGXvbVJ7Y0nAgVxbraZOOmUhycAd+Cu7pLvPLfX7lz2p8/htzLHSnmJuQzFVScFec7q6lgWU1kNQCmzK4096VIARC7nzSZznymQkYqcdGjK5QSeKaH5qB5nXX9nhof0gnCpjIO9YN/tDVqvvaAVwr6yYQSJegwcKerZLf+FdtvvhQn1/+w/WcWpiiP6mZ9AWN2FCLIYjc6GVfuYFGXhZoSpEHwdljOVAvX5hC5L0i+fmBMQlZBnYpfjJl8JeD0BKLG1tksKM0ZvOkBRtw3wNn2Tpz6F3bL57+s3DYO/Z3yuDDQQ8/qF56eN+D/7rBc2zYNslwOHTjCYR1hUCpB66kJRkBtyyaDspaOwd1JkFsYUONs3ZZlqQHOmOWLN2cuQAqA7iyrhxXZ72drr/T9xJ8L6biRwR+RKPaR+se9zyV8AdfanLb/esITZN1TcFsxckSZwFmPrlK7yJl7jJ7R2g95IHnJ+mFmo217POMM3gWZEuiWFHxFK+4rE9sHMD7kXBd61nn+tC44FCns2FSe0+kyXWLYHZS8P7XdmkEZ/jDL/W59/kZzkVVehVJM7bUtXUg12kcomwal6TFbzI7hqKoHZcgKVh8fEfBXKpkIyoY1+bl7qGi9txmerwM/DyLnSbCjPv3Am2oCM2J03X+8gvP8r3/5NJ//cbX3/JEp9s72Kh/85Fw3xTgraUT7H/u61QqE5uW5g++JlALVHxXe6C1Y2wwaRRukYkLXjKAW2vyqVEmfRyRI5nWJk0mjAC7ZD2U7Sthx6RJlpUjLQcgn3yVMbenXC1G4EX4fkTFC6nVBvh+jz+/Q/Nrf7KOw/PTeEGFDQ3BdJDQDCz1AOpph301cNnOSpoQcvUrSboSOHmy0E7ohj6+UvjS5gEmpa+SXdhZ7UYYe1S9ARsm+6z0GvQjkY5bc7GC5yWpzadSu1M5gI8Erq7y8R2v6nL95fP86p8O+PhX5liK6/QCj7onaWpXgxNo8BV5M4TOkj7pyidzqVIkgMqkMipWykBnZAU2dlRqFtqcPGGXgztb1UqZa2PcX/KUS/IdO7nMo4/vfU0UxZuWllsHDxw6wa5Ltv3fZHCbsGvPzTsWLuz9/bPtZ5houCVea1fPILBYKTDGYIwb0GPSrGTmGGQpXWuK+oYseMwPAqIkScSYNMnAbQs2SbNvsgxw6VYTOcLcSQryGF87SRL4QwKvz7HzMR/5Yp3P3jfDkfNTNGse0xWYChIagU1T7xm4ZQpumSeFKqn2Dnx34TTrQz7zgObg8SqVdAJX3i5GgfJ8jIN1OjyKNXu2w9uu7/AHX56hW9M009kjQZjGDcqgtUzH1lECuVc6V25V2DYr+Zl/2uOqnaf4vdumOXJugqW4Ss/T1JWglgLdl9ZdOKnLlK9+2XHN7EOcPi8ynXa1T54RU1Y6kfvmqy1FmwO6VEtkCuCXjQchSK8GUEJxz0N7ueqqy37/Da+75S3Ly+1vKlVeFOBxHKKUR3fxvi1i+MjFzco5EF4+nEdkw2WsAAWJMXm5ZVGgk7H0KOBt/l52EETOAgUrZLRtR3RgBuyskCurVFTSpK5Jxt4Jno5d546OCYIhvh7SSUI+/CmfP/ziBk4vTmJUlekJxbRvmfANtZS5a3n6XqZ1Kqk0Sb3zHNy+y14Oo5CDpwK6YcBUkLo4WdIpcyWyLKwt1aREmmZds3NLiAoGdMIGfV9QjSzDDOA6SRM1yvnYMisBXit4VcxN9PiRd/R4163n+MMvtvnIp2dY6Nfp6woVrahpQVVZgtg6Nk/r9LUsyhuyLOcqJmcNuTLusAAjsVSmt0tElgO6BOqMzcsruRSCUICUmvkTHb54796LExls+cdvvP5YGEb4vscL3V4U4DI5BaI5F3jqU/Tu8yYagsQkY18sa2IVqFyCmFyS5Iyd/6wE7BTwBWML7JqfxJbsQJsDe0Se5AODEgdw7YYJ+V5ExQ/xvZDWIOSBpyV/fkeTT983wyBp4Ps+M75g0jfUfUstsNT8AtyVQBIEkiCVJi4xlDoTKcB9z2U+j5613PtYjTDyCOp2VYCZ3cqrmjFuBIbnaV5/fYdPfK3L/lN1+hU3mmHoWfwYvMjghQalpPOtpUhr7AtgjXjsRlILNOsn+/y77+5x2bYhH7+jwaN7J5jv1xkoH8/TVLSgKiHIBixl9qq0Lp8gKIF8tGZlvDirzOgZQY07YtnrgrWL+iIHeFFo9rEVwlhBaHz+4itPe29+7Y2fOnm29bLFle7835rBnz62TXrJ4zcG0ecmAttmou5GNmQ7BueApVRemQ6yHAd1WZbk9wzYqUQpM/hI4Y/r0XFMnqeUTV7u6XS3RavEAVwluRzROqLVjbj/WcEff7nJHY9PsNRqIKsVGlXFpGdp+oaaZ6n5lqpPytqOuauBpOIrKr6g4pNW6JkU3IbAc/pb6SEHTsHpVsUlVlJ9O5o4KU6a64MUaUAlCUPN+qbg0q19njkR04s8humMbz90OtRT2WTdLFHjGknKt5wNUxsySlx9+Pte3+dNNyzz9Sc6fOwrTR7d22SxU6Mlfbq+xlcCXwoC6RrBtXS71ClRXKRKpGW/azD4qvqVcSYvEZqhFHhaQUIB+DgbTmQp3sf9Xmzd3JaaGvKXt3154pLNr7vxZZfv+TIvMjzoRQHe7xwPzqyo//GHn5yv33hpwvd/54B6zXVMZ72PBbBF/npUkow+Zh3uIwAvHZARXhiRJpZygb7M68tN+pi4gfiZmyEj5jsx9zym+dL9DT5/7wQX2nVEpYLX8GhqmPBcJ0/VI5UdUPVFepdpyWmqu31BkLF3BnAd4/sxFT/E2og7Hw84frbK7LTAkybVsaJo9C2xXV5+mkqK/tBj+3rB66/t8dlvhHQjj34kqHiuX9VPJ0sVq5TK/Wo3R53iuFp3LvJGBeP89mow5H2v7fMd1y/yufs6fPH+Gvc83eBCq0Zf+PR9jfYUWgjXQiglnrCp1LIoREkajtqHa5B5fm5N6dGkhFjIE8fgiYXYQoIgziScBYN1w1GNgSSm4fX5vjfP86YbuvUts7f+j0H73GVA/28F8KeeeZr5xR5//UXF01uavOWms1y+M6bX8zBGpc292Q7DEoNcQ4rIEbCPnARwvZNr1ASOBJQlYAthUjvQIFKAa53g64hKJWIwTNh/Go6dUXzyqxN8+dEmF5br4FXQTY+akjQ8S0Mbqp6l6kHFc+CueG4moSszlaW7SH9uU5CbHOS+59rTDp8xPHM0AM9Ll3lbStGLERSUg7AkyWqm3TjnK3cOuXxLl32na/QrglosCCLLUJFaeyZl78xNySzIQqvkPntqRRqj0ukDHoPQo1od8sE3D3n7TSvc/liXv/xajWNnKuw7XSNcCYgDzUBrpHKmgQJ0+pgxeS5dKIL/Vbeym0KZvdMqRMjBXfwscxpK7Yc2ARtDP2LHpjb/4rtXuGTacm5+L4u8+MCgFwT48uJZMRz2//Vff+Yjs9/7jvOstAa0BqCCIQ0Vk0SKKFQkqVzJwW5GQe2+mKRIt4+DG8bxLbJIPdd8LqmRT58VjrGDwE1SjZOEc4vw1bs0h09VufvhKqeXqxw+U4cgQNU0Fa2oa0tdG+cieG5wfsVz49ociLO7TO8qBTip5k7B7SUEnmNvd2GFHJ2HvcdqeHLUHswlCkU9eFF1mTopJu1rjD0u397n0nU9nj0S04s9GpFgqMGP3UxAVQK4lAIh5QiTF0xZKmM1Wf2566OMEo+h59OshvyzNw551VVtTi+3ufMRnyMnA25/vMaZxQpJ38NITeQrRLbjRtqVL0kznpDLlrVAPhJoUs5SZ25LBuYSsI0hFSiuHDHMisljJqshzx2U3LUoaXf3zb77H//gvz527PSHduzYvGb49oIAN+3b0DZ+/9tuOlB/x3dc4COf1PzCf5vgvd/ZZ/e2mI1Thkt2RFQQJJFMHROVSxUzBnJrin6/jMUzth79ZLYUsResnUsRleAFCVFiOXJS8MwRxVcfrvHsUZ/nj1ZpDwOGYQCej2p6BEpQU1DThmrJBw50VqeRlc26uvAglSW+r/B9mV4AttDeXuIyi57T+RU/wpqQ80uSoQ3QWuJLiy7ZbGMEnp/LxI72O4axh0AzNx0i1YBu5NHTwjkdUVEwppUZyUBKUYpis2FHpKtqxuSlwUheovLxE72hz4apkG3rI667aEg/7PPPj7Z49pjPVx+q8MzRCkdOVIhiBYHCSgVCkshSNihPUqyhVUbEeQbiMkvnsE+tlqSwXSKDJuHiHRGbpyN2bQ9573f2uOeRgN/78wmCRqd+vv+N93tafej/EoN/9ONf4RNfX1LzC/eJxfkeVld46KkKDzwR8PiRKhOeYduWiCt3h7zxhiGvuyYE67zmat1iTfqljSCOnFbPAkkXTGagFiMHw9mObn6Jpy0Ig5CWKHT7vwgBx05J/uKOgF6kePL5CodOBix0fYaJD9oH5aGaCl8KqgpqylJRuHFmKi08Uo61fU+4pEcZ3J7ET2VJ4EPgk7omLmXuaYPvxWlGNKJaCbmwnPDVBxu0OgFTEwKdevFZ0Zd4IWYzpYDQSIZDxeyM4k03Dbj90T4nWnX6nnQyRYMXW7wo86xTj10mzi6kPOtE5n/DWF36Gw7ofqJItCL23NiHKPKclepF1P2IV10Z84rLhrzzNQMOnJQ8tdejHyo+/tUaR895ICS9viYJVVa+idUZwMcso3L6dgTggDWIxCKMxeJ8xGo9xvMMAsPrrhnyxuuHXLE7ZPuWmAkP5qYNNWDKv0CiWszOGnHLda9U//Z7bos3XrS6XnxNgFtAe9Mf/rOv1K4+cmIdwibEgK3BfM8wnxiOLhkefDbhU1+PmZuKscZy7a6Q971h4FqUEsvchOGaK0PqFXcysSLPga0+5yIfztPqCZ56WrPYllQrkof3enzhvgqDSDGIFGfP+RihiayHER5ojQg0Wkp8JahISyUFdqAsgbKuBlynnq8umNvP+jJzcKu0R1Pk7O17Bt/PCrSSnL19P0KpkLueUHz2Gw2Ur53dNqK/X5jBMy88STLHQzEYeLz95j6ff6DNx++coBtXqKc63Mt0eJQlZWzeLSSEzAHm/pQsaf0SwE062kE7Jve0ItYaHScO6CpBKTdIf6oSc/PumJt2R1gx5D2v7TGI3Di3v7kv4JG9PtVAsNBWPPWsT7snU5UkeEFRnu884VoDr7kmZHYycf0DieF9bxhwzaUR1sDclGV60gW3CIVJJIOO5OWXwnWXDonjmM6we7WemPqwEPzIt8TgZxfabJhpNH/xdz63uzu0KtbNIpLFuFkPNsGYhKG1nG8lnF92PztwwvCFu1xwYBPLxJThxqtDGlVX/7tmerJ8qaeuw0pX8egzPu2WQmrpZqJY7ZhJaNceJDVIjZQSTwoHZmkJpMGXDgi+Al8VM/ocyEXR8KBdI0DWeFwGt2P4tKzWyxg8Kd1jAh1hbcjpBZ9wWCGYkPhp2lulVXkjWUxBQV4l6zTvTjeKMPKYaii2zob4YkA/DujHgqp2QzCzGpIsoaVkubxV5n/L/Y3U1TKmyJ4ak9bsF9IojpM0b6DSuewxUZygIpdLcJsTxGyZNemKYbhs24DQ9pHa0GoJHn1Gs9Jz1aTjgtyOnmWwrsGhXrG84uqIiSmDjd3KXlWgXPmck7yxJDTu2JhUcrnJAq6e3tpEeXp598zWf9o0yVJbqukXB/i5cwssLS5/6Nm9R18b97rMVRX9RDI0isiCMWl0K9NHioE7sbW0bKqnlKG9Yjl7V730FdcCeFm/pSdHCEy25QJpzalQRZAjZWplZaBO086SdOPWzDcuPeq0k16Rbr1HDm7X1qXwU3D7mrzE1DF4yuLa4KfZUc+LCIKIkwuGP729DtrHk6IIMHN5IlYxeNkfzoaEOrC5wTph5PGBN/X53D19nj/foJt41GK3Ka2rArRFJ47KcgLlYC8rXcykkCwVeGV3k9fCaK3wEjcvxUuBrmSRNHN14+lzYdLBQQlaWIRNmK0ZvvMWAyLJs9uIbP+M1Q5ZAQcBRmMiJ6usFcSRICoZFobsIk0BnoI9C5iTZIhZPvza6tTxD1kb/9g3ZfDPfv4OlBR+d/4Ms1XLMHEAGhjBwLgJU3E2bzsLDNaKhK0FZUm8kWqFNb5vxm4ZwEeDFyFl3oKmBHjCpZUD4aoFPelea0laU5F2j2eFRJrSHBTSndmKrvoC4DKXLYFv85Y23zelwTkxXsrevo6QMuT4OcF8u4LQmkAyIk9k+WuVTndZOowAL3U6wthjpjlk+4Y++84N6SeaQQJBIvASixenOjwmd5aKFLoa6VTIYjs3adcWTSe5NDLoxJAoidLZ9uUqLVZLkMqkK4UprNkU5CL725h08zCbu14Z0DMHrIBA0QJHKR6zYxZyYVJkAHegTxLltmFJh64OhorF9gpLna+73Xu/GcBPnjjhgpWkTz2wqMjmoyC8BAIBoRREWdbJqjytmgUQ4+WtLypNhHDLat4LKJAUKWI3lQo8YfFECtpUAmTP8/dSsi9KQckbbH0lHNhHwC3do58BPQs+U3Bn3T/a5BLF006f+n5ETMQXH6hyfr6KN6HwyzUcZQeFMUVaTl1nVZalpM9g6CbYvvWVXR54ekA7rtDTmmpsCNN0upJFQVRWcCaEoegcygJNkduSzjpMZ6pY8o4rbQSxEuhEprvYuVqeOAV6kUwzeYJNSlNKvJl8V7wC3KnNm+8V8wLnPy+0G08Alu552XWx0mXTa/tDTW+YsNI7xVoKYQTgn/rMHdRq1Vu+dPvd11uT4Kls2E5adWzdwfSsm3kSp1ZXZtRbdy0X3ucLwzo/6Xm1mqvXSketWTTkVptKU8ZKZF06xfOsbkJLkY9CKAM7n4OicP2IawE8Czgz3a0zWWJTvT1aS+57Eb4Xcq5lePxQFbTvRkBLm6fncwZnlMXdORUlH7jclypzTzyKPK69ZMjMZJ/Wco1erKgpt2GAp0jH31lUVAY4DuT5H5JjlZoi7ZtMi+GUK2X2jCBRkkQZEiWIU5CXi9eycgiZgbwE6qxkQmBSkJOWNGeZ6CJpN2Ix2OJ4jJZrZJ1dBcDLmVk3NKk87NNQbfjXX7L7llsOPvfV+y+94jvWBngURfR69jutMdfEcYRWGpmkAEpBrmyRffJt2qFBaaRACdzjIBfpdyubSdlVnmXFCnDYnMHHSzh1VhuR1oBnpZ6uuTjrVHGyROXdKwWws+Zbx96p5tbkejuzBB1jF+D28urECEHEbfcFPPBsAxlofCnc/O28grBooysq/sazmWmdfM7iTl8mRtEfeNx0RZ+3varDR25rECYB3URSSSzDmHTlKlf9mVTOmbEL6oWYHIyWeSthBu5ESZQyjtGlTEdLZDvemRLAS8CWo2UUhUzJFulSDCZWk7kty5ZSMtCU2N2Wx8elMxKzhpoojAkSc80wHHynSeL712Twc2fP0KjX3/TVr9/1T5OwRbWiCXu5ikAKx5LCgrQWnVeGlZsUbPEhy45B6XiX525k4M4AIEugkBQ1D+XRBhlzuy1IstekDE7ehjXC4mk3jKdGwe3GKYwxd9qz6aftbZ7OGg7i0j0iJOIv72yS2ACVZy/LAWbR15g5GyManLF2PZM2aydZsKkReLzvdT3+7ItDVkxEP6nQTwReTM7iUlpkLPKiM2cXjmtRWbImRQnkgkSnYx1UCnJtUcbJlURZVOIqGF32WOalyYVFWa7uLMqY86aUHOiFVFkl18bW9qJQa/WcxLL7lOEojD0OH28hqv1/esMrbr377Nkzt2/cuGkU4EpGJMnwkrnJ7sV7trc5fkHRHthcL7qST4soAdraHNIjYH6xmxAlJi/JkxzoY+WZuRYf05wZ6MuzPZQShRZPK+5Ght2kwNZKFE5Kbge6jnvXmGxT5i4CTF1i78ALefyQ5OCZClZ5KCnxpUGP12mUBPi4i5Lds/7UrAEiS/o4nelx8aaIyy/q8o0DVSLl048FFQleYtGxSOVb2oUTpzocmYrF8p8UJRYXJWlUjPLIZkJqZVJwp+1sypbAndUC2bRMIGNy8tVDlMCNyCZmrc3ea92yMg4ynGXBaKmmRQhXtlCvhSx3DPc+HpEErYuvetnwkm4vvH0Vg9f0KaSosmfrSQYrJ/izezey0K0yERS11wryiLhcDllcn+KbfewRaZIDvgz0ErhVXvNd2G6FZBGue14U4HZBpsi7xXUObjkC8PLwH9dtTw7sPFuZM3eCr11ix3UFRVgi/urOGouLVUSgne9evgjHa1AKchqxCI0ZZdURb9oookgzOy157+s7PH6oyTCp0FM+1cRp8aycVUlScGdrRTq2Oq/+cCw+zoomja/KPZHuLlEmW5Fs/twBXKbfM2t6Ie/yF0IWzRHjDD7WtDKyzL8Ag4/ibBRbQjgSqlcjumGfx0/UsNN9Lju2SLtTFBfmAO/M/y6eUpw9P8+H/0bw5DGPuYqbYSJLIHzxS/DF+Tvz/wt5MvZYBnSZxUfGixWMLcsMrkSJxTO5IlF6FOC+TgcAednWgWmGU1u8PBVv0ufJyF0r17nz/HH41B0NhtJHSZVmL0cvxPEMpniBI5U7KSU3xaQMHieaING8940D/vjLPZ4+UiVSHj0p8ROTukcCmdjScbKuvUyU11OT/q3RfYvKTJ4Y0LmF6EZbq7QkQCW2GNaZz2UR+QUdj+lxQYnFRRF0lgbslnT5i9/GR2KXLx73NxOu2tnnf33/Mr/1+Qf51796HEE8CvD9h0+z7qJNtX/3K7+682sPGZ4/5lHVHoEqaeDUms4Z6YXOWAnN4gVej1QLsjqlvVqiiBw44+OQZYmxsyAzm9qkdbbJa6q91Ri4s/S9lzUmGzczJG8Ry3o64/QeobyQg6c1ndAHpVN5YsfKY8cv3NHjNTrQaMwLT/MMReJHU/cEuzcPePpgSGIC+sankriabZ1qcCXcRq4usZTxnSELMgsmL9ftuzSGzgebuveyycDakHYQWaQpJgRk07WSrLs/NwCK4DIPPMfO91rgLuTb2kUc2c/cvyXcyAxrscISxYphWOMt1ydcdfFZRGXDzutv/k+1Ye9f9Cr1bQ7gh4+fZXFp5Y1KXfJT+46eZiIQND1XeZd5yuO9eePJi7XYWuCkVPmiKINcULpoxuRJnuYWBVs72VIeqpmBnKJGWpVAnT9PkzyK1At34HYALoYCeWV5UmZvlfZ1+iFLHcPv/HWDxX4FEXhOnkg7sqoUg3O+iWjLa45Emi8rM3iasYs1zZrmx9/d4euPN1kc+oRS05cSP+2hLEY+pAxerqcXJi+jtZgU3CbPHBbOikgZ3OZBegZ2JUXK4E4SJbmLQi5TCh1eSNpCpmSBZ2EVlmcgrsWXq2uoi39HpuAus3zgKzZOxFRmLvqplYXn77dJ93M5gz/4yPPUKgEnjh1jUzWkWvGL5El24sqjGtZg8Rc8kWsBfIzdCg0uCpDLcYkyOpgmB7YUSFWMH1MlUGsp0akk0TnAM81t8qDS0yYHt6ez+otR9vZUhO+HfPJOj+cOV0F6SCkJstLYkrWZ7xGffskXrCYssXnRXV6APDYy3eTJ48qLe7zjVW3++MsVjA7oS59Aijzpo6QgKgV040wuykw+3maYAV2Bsm5VcD225LMdHasLirESxSyaYjKt6+MUclSe5M5KidgQawSd2WdfA1EjMta475mVAkeJZBh5WDOklpyhNnwKkwzJAV4NPCqBRy1QNALXeCvKJ6u0ieiIpnwRgJdPavE7Iv9ymcOwFnsXgaUo2DxnyG8GcFkAXJVqqHVal+KRSxFPFW6JVxoOVGhux96edlOrlluGv7mrwUIrgErqnohSMPYCEgUhRo9PKcG7yrbLpxJITJK5KZqppuIfvbbH5x8YsNgNCJWmn8jUnhSpeyOKZmxZTqw4YFtbdP2YnM2L3kidOSsqfS7T1xISRX7cyyAXUpS677MhnqmcGNHj5eFHltVj4ewqUOUYsmWZI3Kgu11EVO7kWGMJJnyk8lz5LaCfff4A6+amdnz1zkd+Ymn+HNN1hdJ2lZQgP2ml8WmikCjFBx2VJZY1Lo41hmaOsPfIwcr0fxnYo7O/yx0ubrg7o+DOdjbImFuVmHsVg2fjJoqRE1q5zOXRY4IDxysYAoTUeXNuUT1YlnKi5GoUX75ci1IwuSjJE5E7GXm7WaLBavZsD7l444DFfVVs4jsWT5xM0SUXp2DPcqFXKrizMlpI64hEKfh0I68z67Ac2yjjLhojSbV3EZeN9J5KizAinaWSafKyZLP5BV8QX47gF4zbKP9ejsfRURZYSXh2EV2/5ic2bXv9k+fPHjqmBYZwGG7wPfumqL/ERN3Pm0RHVJAd/4OlDzEWG4w7B+OzNDJAl1PZI++VehkLZ0JQBJsFoB2Dk44CLvvg5Xu6pbUqg7sE8nS/ei8tDc3YW6WvtY5QKuKL32hwcKEKfiFPvJJ1OXLBsnpcxPhtdMxZqVG7vLtZVkYbai6aDXnrTT0eeb4GxiNOnBb30u3RZTIqlXLmHLHkUpBbOzKrJn8u0+cyXVVkdnfHPklXDClSVjfZCmtzYioSPuXnbuUut7flbS9lcK8CdQloL3Y4rWvu6Cx2md7Em8JwsCEMzTEdp3vIJ4lFKtfZkvuzFNNDR+c5rML4qhdl5lqlu8dAnb0eD9AyQIs1gJ2zuRKlJtwSuNP5hMW2HawGti4GBOUj3rRJQR47eaIiqrWQb+xXfO6uOv2BDzWNlgJPjEqT8c9f/s4vcE5G9feYZVj2xaNYM9HQvPPWAV9+oMfD+31s3aOfBPiC/EJTpSU8exxdZx3I7QiMTHGBKcfmiXR63JRYOwvqTRpcSiNK+luUAt3RGKpQAWKEdYsiu7H9gUrYebFbuc6mGOaapOXE6XbtURQThhGJMXjKNd1mEz9HRquVWL0kjV7wqhph61UAF6NsV3JMys9zKSIKUEtV2r1BibQ2pQB3AfKsbNaidTFCWaebMGk1CnQvZ2t3V8oFmL4fEoUJX36wxvMnauB5CKlSUKVzQ0rxipCjJ3WV1EsPXM7aGYmMzW80Vhb1z6ldGIaay7bFvPmVXZ46VmUY+yTSo28UfsLYZ8m8cMYY3D3asc+Cyi42g1EClWUOpcAqkLbQ4/mKKkGa0ixDU6wachzg43HJCNmJnK1fHNKrgV1M6i1WoSQxJHHsGjnu/NrtaK1ZabWZm65gcZu4up2wipnO1pYymCNPCpSXP5xIUV0+sas0N2uBOmPscoBZ7EBQSJOSVZgzdgbwYnJqLlFS5naMbXOm1vlj8dxLg0utIgI/5NnjgtsfqNHr+1D3kCKrHCy5TGtlMUvfs0wFWS2KQ1daWbhG+Wwx10Tl3T6NRsibbx7y+XsGPHUkAO0zMBI/1eIqbboqSwORkMsDkrEMoioITCsK6SIdm2erShbkG+vALk2RaBOm7Kak59wUzD6e41hFfmOgHz1ao3DLM5t59tcF59mOyVHk89DDT/PUM0cwJkH7cgVpBXU/ZnrSZzB0+7tEkUGW9kwZGdKzhvE9vpqs1t1i5Apek8VlCexlzZ2D3OntcjZTqbTCMK0odO1c6XNdng8+Bu707mVTaNMCf61id9cRnhcR24Tb7q9y77NVqGiQrqHZK5XwjpTGlu/lFy/ERHlNT1bOSt6MnNhsrkkB9OHA4zVX9njrLT2eO14hjj2sUPSFxkvIP5NIChYvPsLaTF4eYq9UxtyOzd1rgTQi1+G5358xerbapgyeD+0cA/d4wFmAvAggc2CPHbOR9P0YwB2wBcMIun24sLKCEB2steiNs+5LdHuWKBYIVN74LBJDkhbyWJMxj11VATb6gVZr7oK93QtZBniprau8s8AIsEekSjlNX7qrMXCr0l0Xm6BmgPZKoM6cE+eYuEelInwv4sljkk/d2QB8kB5CqLyLSKUbqcoxdsq+TxEYiTGAMVKcVjB3SYNbgUlc655bglWevrdW877X9fnqgwMePewmCURG0UtEWvCVgi6x+fI/Ap7SZ7HWOhYvAT37qUpBb2S6n08WFGfaW6ZsLtxjfg5NKSkoSxf/KjelJFHEGlwwDvISwLPPkaTD8oex26Gu3U3ohxQ24VQzRkmBrxLaHUNvoApQlep03fBXu6o24IWYPI+MRzR4acrqmO4upIpIkwWF9ZQBPJ+TVwZ52ppWbDbldnYoBuAX4B5h7dJj1libSRWlYjwvJkpi7n64yjOHquB5IF1w6QtbmhxbDqzEqsBqXJ7kx7P0JG+AKNWIjFQXJhKjUkcl0QxDjysuHvCaGx2L9xPH4kPhMzCgE1EEfklmF6aORFK6yErdV+PWpZJglUVagbK47KcVrppUgLSikCqloLJg7/S8mvKFX04WihESLKfr12LwcnPEqqkE2fYniaXTS2gN0nEWGPTQrqBxPZe9oU8YuYMtUuZ2JpN1AH/RSVTFecwui7wWeuSkixFZUnZMRveIGas/EeR77+S7F2fNtyMND8XWJUqNgbs0FD93T1SC0iWApxLF1xEHzwo+9uUGw8iDmpfKE/LWNFXeJbjsnIwsYWucrDEGZ0ymlDcHMHYtLa6pB5LvfXOP2+6ts/+0u/gSo+glylUZJmnyJ/VxRSIKt6K0kmSRVRng0hZaXKYaXRo3B15Ip89lKlvyWCljclOOpUbv5b2KRl2mMqhfeEoWax4r954UbhRItWrpEhKLBIlFnxY/sH7fvud+9vFH7mNjI2Gm7vRtnqDJfFFRnA07coxKs05KbF0EmGN7L46w9Rqvc5AXbD1eZCVLtR8qZ+8SsGUWXI6CO5vtV+jt9Lk0hfZOg8vQxnzmzjpPHqy6dh+hUcJlLnVag11uLi7LlPIF/aK3EQ1eGhucNd0a44A9AnKJMZpw4HHtpX3e/bouv/XnPn2jwWgiIekbFyNIk2rwpJCFjDkrmYOSBbxYm7K3Izplwabet7UF+DNwS5uSkR1dxTLJUpZu5gXdFLEK9KMMOkqqI0my9O94Giq+YMdGwYYNS7zsZTf97JZNV/6wbp8/Nmm6vbf0VyD2IQoMeDIHX3ZMRrZdHRPgovRkxDFJn5SfyxcBeb7UlYEzUgduR7R3DvSSJFEl7a3ynR5KG1EpOyZJskrBJAe3pyMOnJF84us13PwVx955535en8PIeGFZ+t7lQFOUX+SyZFT3ZsVWxSYBpY0CMmBbiUkUiUq1eKL57tf3+OzdNfae8kCGWCEZJB6atF4kO9ZJetKSLPGTkVVJOtnUTMDNxso+W1q850BsnWzJQCyt+xvWpP64SQPUkdV5FOxrSZMRSVcGeRntdvRp3tWT/ruetvi+xrMVVpbsW8Lw3KReV48Q0wlLWxRB4OqnszT5i4a1ZYyXqGpcc2ePLyhLyjpWjj4fYXFhS8Fl6XnO2DZncTUGbjeR1aSP6fYryqAyv1vFKBmjUgZPVMwX7q+z92ChvaWQzvvOO2hY8wQKxl8Lxo+eHXk+2oA84omXJlJpI1xtiixS+GGkueySIW+/pcvhTwSEiQKhSYSmLwQ6Se07skA3c1TKlGiLEDhboa1A2ZTRcdIkZ/PsLmyR4hdgpAO+yWSKLDP3uJuyNtgpP64BObHG8St/kziBpZZmYalBT/g0JxR6btpDWp/1cwFJotxgH/HiOmj8Z+U9KwsyL9tB419wdSJg7eaGUdbOXmesnYE9Y+4c6KrM5IXuVlkQKUvSRBZD85VK8LyII2cV//0zTQbSI5ugVXTNZ/XxpRrosiQZOUMvfMuTZ3ma3JK1sJVnrhcaXIzUpyRGEyceQRLzY+/q8td31zh8RoOKUqni0RcClcmTVI/nweYYyDNv3gI6u+DS96RNJQo2Ze3MEzcjbG7Tv2OkQNhi9VhtJqTAL7H1OJuvOoTihQ9ptjAmiaA/hHZXUJsWRFagd2zs0fAGnDluWWhL4jhbuMSL/+NjAB/VUGLsg5eSOmmV21oMWAa2GGPtLJEyCm5TSBQ5yuB6xN/OdHZZf5fu0rG4p0PaoeEjn29y+kIASqfWoEzliR3xvfPnpRM0ylKjia41gU5JquSNB+UezSyFL/N73gwhFUms2Tw35Ife0eFXP+bTitzUI2vdNDItQCXZ57CQCEZLUssJvCL4VOlVmM5vKh5l4fhIaQsGt6Vzl+piu4b2Xm2ljmny0vEbB/ELEm3J24wTWFiJCM6HtMMQ3R+26fQ7tLohceIhZbZoidX/0KrXxWEaCRDGQV0C9zgYxpk7A3bB2rYUbNo8sMwaX5UqgkwtLUqblNFNLk2cHDElqZIxdpw/ahWhg4hP3xbw+3/VZGg8J0+EyuVJ3lQ8ZomN6O589RLjp2JNFs9OTGEVlkGfpextuotdqZQ2G2FmNBUd8yPv6XLguM8ffsFpcVAkQjIwrndTJuQMXhRgZSeuiLDKdqUDdSFZrE3ZXBRetCOdtBl9JPHjZExel57iwZRJbkSiiNUMvoZc+WbA1womG1BvxFTrIfobz8ywuGg5cU4wN23STunyL6/WkONBQPYBy39Qlq/EtbRqiQkLvWbHJIotBZnpFt3lLQNVUeyklClJlQzMJSaXRXVgrrvzRzdrcGkZ/vrrNZaHGbgdwD3ptLcWo/JkZNXJ7LK1Tkbp4JW1dgbyzJUaqerLttIzpdflOnEpUUZhjCZONBN+wrve0OOz99dY7CiQERhFhNPj49WFo7h4YSZ3eaAiKZTVp2TBpk1ZPAd06rhlne+jMjTNWFq3mhhZGqA/0pQ8iiXxIsez+J30v5Owdb3mZbsrTE3V0BtmFBrN4oSHp1V+dY3/C6OAXvsDlC+MMquvpbXzQKPc9pQDpjQiQtoR7V3sh7k6qMyG0xTgTkYCzCzIzPa50SX29moxt91V4eFnqpiS9nZNDZk8Ga03ybucGP2+I574GAON8Q9ZssWWWLxcQjtqHRa7Rytb+OJx4qFNzCuuDHnbDT3+9Is+qBCExArB0GiUEG4LklJvYwbncblCyQdXWY9EZh9mtTOyVCgm3YyXEea27oK3pWYZk5FY+oYsLSIjckWwmrXXwN0I4ab/lrGwuCI4M68ZJBpdq0rCmmKirhBpsfvqPPz4Hxq7ssaYuhw05M6CLDN7AWgxxthCjLG3GAV24aKkr5VFpyPGZFoi6eRKMipJMsdEliSKdO5J4EUcPiH52G0NznV8t9+1dIPelaDYsWEsXlilu8uJjDWO3/htJNFDweyrtlrM9j0a6bp3++e4R7f9yfp6wgff1uX+ZwIOn5cgIkBhkAyELG0i5c5BBmoxchWWSqSz/8+zmel5KLO5yBKD5DXk5VjK/ayQKVKASZ+bsda67BgWn0mMEUT6vh1TFaI4hia2hMOEdi/Bqxj0xpmEqoxZnDa0ek6kl5fQ/N9YdTWVGEqMPl/L6ywDe0Rzi6LE0+l0W2jvjLlVBvgxkOczssefJ7n2zhM62ThgFaNkgk5tQd+PGCaG3/1kk3sfr7reNqmd9pbSde2IYv5K/lmzlWWMdcaZvHwOylhfncEsXItij/dy+Wy5jNa1m5nMUUkMsdSoWPOa60J++H1tfuF3fYaxdI2oRhKnroo0ovTZHMhHutyta0mj9Pnca1GKDdLu+jQJ5AJMkV8AedCZX/TFymcFoyvcWOdRfreAsKxWC+kFUOZhUWA2TgzzyzHnFxMSkaAf3LvCwmKb40dDdq7zc5YdPyOrNfcLs/dINg87WvxO2e8uD/ZZg71L+8/LteSJtHm3t9s225QkSmnsb6a70xnXeXApYzw/5s5HPT57b41h6EFV59o7Z+88sF2duRy3v8rLqruv3XRcLljLgF1Ig6L4yqqsynC0VjwxEmmcVMmAHseaai3mXa/pc8e9fb76qHK2IRKEJBKafraKpp8yq/DL2VqOwqewC0t1KTL9nNINqxeieG1TaZIBXeTAFilzl4JdOUqCL5YAKiRKUaQ1fnO/K7l6V5cbr5tnatqgO+0KnbZPrwPDKbd3uRSrf3NNWTIG9lHmLsmQNVi8zNgjQWUGdllyLDL9m++nnqbK8+ROBuQC2FqNAV0V4NYpuH0vYqVrue3+GvvPVpw0Ea4kVmTaW1CaIGVXgTtfhfKTIUpAfxF9koE7r2QrafFxqTKW+BmvF5dSIU2CNJpoqNm1IeJtr+ry8F6fVpimX43T4yGKbB8ISeqNj5TRFifd4pI7+QUpndui0pa2gs0zqZImfERaQ54DXVAeIZGzuC0FmBmAR0ZNFHJlRLrYtY+slILAE9QrDRqVSRqVCfT29RWaXoW47aVTWMn/kVVSfA2NXb7K1gJ1+WdlHZ4VKY2wt8iCygLYZTALwUhwKfPB7HaEsUcCyiyRU3ZRpOuUNyT8yRer/P5nGlihne89wt4U2luu8bnHltuCAMTIivdC7D1Syce4/s6YfHUrWzYM3hiDSSRGOl9cSUOUeEhl+JF39jh0xuP3P6uJ4gLkBsFQSJTJBkmk4C63tuWgFkUkKMtvZzqcAujCAVlmvyYyqVKMmMisQitsaeXLOvCz1aRMFHbko8lUirh/Y1TwuWPlfv/sgs+RUzWm+3X0REOAEWyYkQS+TYvI0+Wx/P3XAnUmQdaQHw7Io1m+EQYvB5Wl9zKPO2P2YrMlV+E47pjIDNxqTJ6M7Vmv0r1nnAaP8PyIQ+ckn727TrfrQVWtZu+85ru0uogiwZMfE1Y/h2+e5CkYvAT6/D66W7QxWb1HCegyA7rESKfFpdREUUKjHvPOW3t8+b4qh86mSQU3oJpECPpprkMIECY9ybYAu81BnbolpMmf7CLOnZQsde/YW6XMW8iTEtBl4eC41b40rcqWyTFlcjsK9qS8QmaBbRZcGjcldzA0LJuYTSsJ6AS9aZ2kWQH6IVEs6A4kg9BNdzNmjLVHNJNdxebFPdNaJXDLUqQ8stTbVfIkGwemSixeTuxIUR7MnjknZmS7DVmSJVKmjknK5FrHDCPDHQ/V+foTabWg9BzAx9g7K/JSQjASDFMOosaYvEQE38otZ/M8dV/cjUmzh/kO0m4rEqe7TSFTjCQREpVIjFBEQ80brgl5wyv6nPySx9A4HZ5WQhGjGQhcxWEqSBAiN7Cz1I/Kl6HMUUmvFUEOfIQoyN66c2pFGniWgW6Lhmgj0lqk0sqfXxiUGT79uWUUi+nnsrgR1EliGYaG/tDQ7sXs6AqqTY3etnXjStSd//L66so/Pn2hzpHTDdcRYUfZetwFWdvXHmdsm18YZXuqcCIoLV8Z6Iv50wWwM6AXuwyMOiej+lvl6fek9DxGStepI/2Yex71+bU/miCxunBOpEII6fYBEkVafpTBy47P2uz9LSQxC2RDyUEZTdmX5Yohm3qVFmOJwlHJNbl03rgwmjg2+H7CT39fm/2nNPc8IjG+SCHrvkBkFH3KgsqWZMkamjz3wtPVNvu8KWFlOlzIlNEpRklYUZzjbHWzctQeHLcLxxskRsizFBhnwI9iy/F5w7m25uq4/uUNG7esqK27ou7eY8cP7z1pf/jYGUG/XyWKZf7VVuvlUk9eJilKJa6ZpadUSbuOlLmWgkVVaOqiMrBsAZYSOaWAMi+oegFwl6WKHknouF7LU0uCX/vYBPc/UXeb8kjXjob00FJQlRBI0k2uRpuLV9/TBuh8SM7oMCKVtntJNdYwXdL1xWtRuujHsrplMijNARTjUq/8MwuzMzGBtjz8tM9Kv1RbkIaZ2RTxouLQIUyMAP9buVpLF8KY/Cq8/tKu1tmFXL7Q8/8Tpetf5MqJsc+Ud4BJNzm4WhFsWN/nyt19pDj6waPHH9mv//S29SAEcRQzFYRcuT1hasJtp+e51BdrpdBXMfWYRBlP0TomLw9oZPTkjGyLMSpN5BqaO9thYM27KgeWaSls+jzxEz72+Qk+d1cdW1EglEOn0AgpR/oti/7GF+mYLzHMi/lXoyHReMnsKCDc89Fu+/EOH5POD7Qpc1trihoVIZFGkQiN7Ce867V9nj/i8aGPasIgLnlyAms8hqRTuLL8euJMbIstgdKmsiTNbqbToWymg1PWtum5tqnOHl0QMsel0NW5N56Qsnqhx4Ugb6SxqddONi4u+0jSTcANfMnshOKynZrtmyyeLzEG9K4Nrpgoigw2cZnMOHH772TyZKQJYVw/jyzX5UDBrgH4NYAtCs1dpObtiFQpiqtM6nuPAVyZFMAZyMvgTpCl2pOvPhLwR1+qM0jSKfgiswbTrKWwI9p7zdT8Kmk27hitIVVegP1sGtxl3vOqjCZ2VQmtlaXMpiw5K0K5YEumxVnSkBhN4Bm+761dHnzK56tPyNSBkLl2NFYzNK4dLS8iGbcOU6TmUkoIVNbKWAZ51vQgMnuQ/L/JgOqK7tIgsZz9FZTALUrkmPK2yZwaB3KbUrsUbhallLCwUiMybu9Pay361EKfxELNs2yakLkPLijYeiSLJ0fBPV4PnYOYEshLM/NGgV1ocpGz9agOd164KYA+osPNqAc+zt4yKQJMHdEbwi//wQRHTgdYXeyWPKK9M4k0AuwxQLMGmHMIi1E8v4ggL9uEObOX9LhZU4+vrk0xMq04lGUWV4jEIIRGhoaLNkf8hx9o8eBPBnQG6ZcxMv9cCZpBJg+y4m5TgNxKwKSgtuQOi0oDSivJt0y1ItPhBYhN+RhaShnNwgNfy6gYTxbJvOXOXQRuQJUbvBlGgv5AsX1zh5mpiCgW6Gt2b0ZIRTTokoTLVHyF77k9JcfnjJTdjnEnZNWHo+xvl5mvGClWliNCFFZgIVFMKclT2sYuZfOcuUdck9LuvKnnrXVEnMB/+3SDJ/ZVnOctM+YunBNPjMoSJdaSY2MWYVnS5uWh4gX5ehWTjzknRQMERTGTdcVMq6oNhWPwPOg00oE8kRiR3pNUqhjDtXsifvy7WvzXT04SJimLQx4VJiiGJtPiaa69BPJcoohSllO4DXptmc0lCJP54YC0KahFCazjRoXNEz+UjnEWnGZFW1aMZlqFcN30YWzphwLdt7R6m1BBjShK0D/ywXdQr9d5/vnn+PrXbqdek8XeNSrrUh8F+LiPvcoPHxn+uAaw8wukvIHRqCwp9Pfo/owFeyeFLi8ndUbuaWBZSfjaQwF/+OkGrb7nPMDU80YohBCpc1JkLculvGUdXoxmW2MG4WgIlL8W44AeY+1VeB8BuqWcACpYO50Km0mSchJIOBsxkQppjatXiRXNiuEH39PjsecC7viGglqcMnX6CaUgNpIBWUxRgNziSmPJbUub7tmUsrkReabTmhIYx2VJCeiZlVwGe87cjB5jm9mPsryiZUcvyVl80I+59oYbueiyy+n1euh6zada9Zmoe8xMCCqVwvHQJVejrI/XCi6z52RgL+mstYBd/M6YLClJkkKmFDvsus+SjPrd0lmBMt9X3QWWUsZIHbPvmOa/f6rJoUXfVcSnfrd7lAV7l92gtYLKsjwZkSZj05peWHIXsnasFoUx3T3qPKyVxh8bEpQVYlmTbyorMqkiLEJqZGS5eDrmx97b4dg5zcHTAqvLAkuA9EhSkDMGctIkkMqlV+p3Q8riIg80s7KNXH+XpEsG9Nz3tjCqAMYkrkhH+AvSslxXj14cB4iThCg2xHHEIAKExliFrgSWwIOJRsLG2YjEqpE6gqK7ZoyBx0AtU2BTugrlmjrclth6jLlTLa5SGVIweUl3K5O+Hk/mFEBXKkHKGD+IOdcS/PJHm3z2zhrWU0U6PpUma7F3Ufe9OiVfPgFrJXXKjF7o8FHAj7D2GNiz91bXpJR1eAbocgCadf44Bpcie54Gn4khxuBJ56q0hpKf+g3F+RXh9me3xd2icyYvg9ymQZ5NNbk16YgRk8qX3E0RaZBZMLkcB/q4tLViDNyrwW7S8CB/TPcSyjbhshZWOhGdriGOIYwsuuJDpaLPNWrm9k0bGm+6sDDAWDUSCGYygpKuHrnCyPRnqupeQJqU928ZYe+R9HxJipTZXKTglgaVAbyUqZSpa+Keu1qTEMMXHqjztUdqaa2JymXJKHsXuwaX5w2W3ZJVZbElnUjpZ+PMnYN/XIuMyZVVcwpTe86aokqvXGkoUzcl0+OJEAiRJn5SZ0VKibEqfU8irKs4DLTljTcMePsre/zZlyVhLFzaNvvwEiwesRUMss5gHLhzhOWa3I1stmlCLp2p70CesnX2/bKWRVti7CJ4tyWiFIXsE6PHNydJIxiPBcMooVKbYhCJ27Xvn0usRE/N7eaur/31Me35vzOwW98UhvupVGQuS8oSovyHitlypTaoEYlSzkqtAewxHS5GJMpoMFkEnCmwRQFux9aFcyLTOu9YGD5/d5UP/UGTUwse+Moxdx5YSkQK7jxrOV4yUGaakdknYgTA+UWe/X9ZqoxgXqwC+lq4H5k4y1h9uM2W53QPdwnGuE1aM0fFGpvqcEcMRigSk54XLNHQsHUm5qd+oE1rIPncvXWiJNcC+ZJsjSKWMge5TfPl+aMElbF3ptVFqQDLULIKbR545oRRZvP0uJlyPJcezPzSy4J4xpREmnDDGq65fAvNqv2de+6+99g/ef+73R49vZ5ryh04nwjfS5MpYzp7ZDNPSq/z90c192jwWQJ5rsMz5iZn7nGAS1UGuikFmCVwpwFlZgl6XsLRBckffqbO/sMBNFQuSfLEjpS5NMn7LCm8/twxGV8us3teVCZWn4gyc4+8LlyUtZI9Dn5mLOFTuCgyr0IcTd9LkYJc2NwbFzmzy1w2GqEQ1nnj0dCy5+KI73tXh0ee8Tk2X7qCTaY7nQyJpWCQXWzpCDdrbO6i2JIuz2dYlvW3KCd+Ssmd8WNrR49bTqQjpJHJ4Oz33b+rVcbkCdJGCBsB6SZUey67FM+rcvbkkJOH9+N7sWPvEmDLp0OMPSk6tEelCxSMPa7DpSiBfA1gizy4NBRuiskDzFyWZO8Jx95aJyx1BL/1Z03ufqJSVAnmwC6kiS8ZG4NcMIcqHfi1bMG1gD9ugX+rt3J3/UhVoS3Ll0yyOEDlMkWUwF/KdErhWFwYm4Lb6XEhlLuMhCHpGV57zZB/9YE2/+kPJMvZBsEyXWnSbTat0cTpyc2YmhJjF/o8HdppUqBnDcklsJfrUjLFMwrYcVIovR47bmUCDSO3jc3sus3s3rOHTrdfAHx2dj0TUxvv6F647dc2r09+qj+IsTarI8sKcDP/cYx2xv5ydjGMsLd8AYmSAzwLIrOfmTVkSsrYwpRY2zhJkmYrlYoZCMvvfqbBRz/doJN4abZyVHcL4cYMZ87JSFEVxcEeX8FGmHpNMFuEkKWD8a2De2RGeEm3jrgtJbuwvHGrLI18y5jbSIEwkmxfSWNsyuYKIQyJURBbGl7ED7+nw/lFxW//WZN+hjaTsXkJ5NKNhkCkF1sGYuN22QAXM6hMpqQXY5oXyi9cYdNKwky6jBX2rX2g1oBd6b+NY4vyKzx5YOHXfuj79txx4uSZAuCT05s488xP9KZr4qiMIjAJpnRkiwNcaoYl/YbjNzGqvYvEz3hB0HgG0wFbjNmCMtXcmXuSs7YqgC5TSxBteP6gz1/cUaMdaae7yYCd+d4SQSpN8rsd0d5qjFEych5nmTzmGGef0u98K0jP0/XlwqRScVI+gyQf8SZK2rzYX1NI6cCcgtzZlxIjjNOuRqXM7qxDaSxxZGhUYr7njV1u/4bPkwdc1tExdPZY1uTpdzHFf2PT2hQr0oBTWlQ52MzKZ3MWL4Cee9226NZ5ISIoj04ewzxRbLFS89CBxaOveO//3nv4r36+ADhAbcMHUbpKO7wbu/yQ697KMlblDu8SW2Tvj+A7Z7pvpsHNiDwRZddkhMEL90SKUpZyLBWvvYSnj3j8+K9O8czBAOvJQpbkDC5LtqDNB/mM79SwljW4lkwZSewISq/yqPNbkytj7DTqi4/bhakXnAZwWdCZSRYjXG2GsdIByFqMzYDvJmQJ4wCeYN15Ci1XXxLx4Z9a4Yf/D8Ezh9LgJKPdzAPEQsbkpLXqQuClDkve0pYyd7YqZj/LNhYfcVEy9hbZvJTSQSuXLZjiQi/KGArMxVHCW2/dxbv+0avpdge8dRzgVm0AXSOhiRQJge8Al/+BJO0csW4YpCh5smWQ50yWM/kowAsZkgHbjLyvpCm9V+huOWINJrkd6MBt6FjJ//hMnSf3BiSqxNqiqDeB1BYsNzOI1c5Jxsqr62zGxkKMgL10gZdR/SIIt2ssu0XqfjWrjzL7GjXj1o0zNiYdaSzcZFqT6XGcFheplBJCIYwlwaCF5drLhvyLd3b56f/q0YkFeOTsnTM2AowiEYIwm5liBF5qH1phKTqBSt/MFC1oWXIod1FyNh87GC5xWrTuGYjTZuykBPZsn6CZiSqXbJmj3enlxzUHuFYapYJDjbp3WE/riz3VxlJMU4oTSZwoksQdmMSQpkdlkY4tLd0iY4dVutusAfK1mLtIycss2MzALRKUiFEiQXsJPQN/+Nk6n/panWEGZllmb1c5J8WoLbgWe496s2u4J/lVXGYbkX/v1cj+ZvJknL0LYIzrcAP5KOMyo5cliwN3IVWEdVrcSIOw0kkBa91zYxGkbJ5YfGF57xt67D2u+cPPNOhGuAOWUW/2CIAiMQ7kefAr06pIU7A3KXvLVHdb6VaVTKqMgHvMRSlnKhPrNpqKDERGMDSC2AhiCzY2bJhs4lXqhysV71B/mMO6+LiNyS3Yzudvn57WH5+ZDahWFpiZaDHd7FINBgR+iO/FbkprqoOzAHKVE1JK1mTBY7l4asQxKdVxj8iSXIKM1ppIkRQOio7phPDRz9X5Pz7a5MKil9d2F+n47C6KpI5Yna0cb5guOyqSMbCXX4+x9sjPxIuDO0N1udAqf2/kpUgZvVxROLqNXjbiLdOp5ffyGvJSN74xyiWB8rETmjhRbJgx/OwPtPj+d3ZoBDFuf74ETAI2BhO7RxuDNSQGQgtDC6ERRBYiK4itA19s0x5fK0hsuiuaLb3O2LnE0iOP6e/HKbAHiaAVCZZCWOgmrHSHtAZtJmYnsNXGx3/nE/fffsnOLasZHEB5Cr8ZfPFPP195xxNPT1zz6pd1ePXLhqyf0bTaNXqDcuNrScKUlpZMjkA2ySizCcvMDVKaNR0TkWYq8wCzbAuKUvmrSpAVy+e+WONXPtLk3FKazJHjultRzlh6otgdImOZEc8bXsD7FiPgLcnsErDFNyPsb8rmI0OXSlKlzGijqXvSgitStk6lSQoiYQtPXIiUtQW5fShIpYp1+joKLRunEn72B9sstiUfv60BlXTpyJncknfb4zz4MI1FLUVQmfmp2cwUmReeuMBUIIqxy7bwx9P9o0aOh9tsCnqJoB1Zks6QTXNtXv2yNrdeG9M3U0/GtvJF34tHjukIwIPp7+GGd/3C/VLOPLr/SHTN39w3zw1Xd3n7zX3ecXMfT2vCSI+eldTmIa0jHtXdJi2bNSVLMJMmJcDLkt8tCmCPavDsddqdExgOndL86W11zs6nXfGrgO0SOiJl7cw50WliYrxTZ6T8t8zGjL9I2XlMf3+LqiQ/eS/681x62BxPq3o380dRWHIZsDMdbkRaqOSalXNpIkYf3Qgf57DEoWXjbMIHvrPHg0/5HD7tQ5B+sTXlClgkMe793DmRjom1EIVnjnC/aooxIo5U0lFuRS5slYuXIOgnoESPD7zlHG97ZYcbLw+ZqU/TGSaPwifv33rNb78wwAF+5ns3IYXkG8+e4nc/1eDT907z2DMdMPO8+9UJ7Z4sttbIqDtj7Bzcq33ukczliHtiSvq7SMWLVeAulcH6hsNnND//4UnufKwClfEak7I8cZ53NgZCy9Vae61hPiP/jSx8mdGJjQAAL69JREFU8VUyhWzQj8hP1qhMGZUya7kk2Wkub7a7aqSbFSVGK+zBzB0RaYC5VlGWwO25KYxMk0QSYVICMjJP4SdCgXGfNRnEvP7lA37px1v83IcnOHLWdwxBCdyZVz4O8gwNeXScfj8KT5xUq5djGZHOUMlBnv65bKVV0mKG8N7XLfHz399lw4RHuy/52B3rmZp+OdaaVUSxCuC33PJ6PE+H9z57lmr1FBM1HyM0ZxZDBkPLYODKKQtwp0tjKWNZNMSaPJAsB5YiT8uv9rvXBrcpXBPPcOyC5j/+9wk+dUeNUGhXAku5v7IA93hgWW5keOGGDVY5JCMau/TflO3AFyXu8g/XqkfJ8mljWtw9lkpms9elOnEy0I9kNotGCGkchI0okj/OVswAX0SxmcOCkVS04X3f0SMx8HP/bYLjF1JnZQTkdgzkTn+btPDKpK6VxU3EUqL834v0sihMGpvKmOx4SgGoorG97hk2TnrEw3WcOu9hbY9rLt/Ijt2vD40ZlSdrAlxX5pidmv7J7RuuuvzaHSuvTcI+japCxZvYd9QFmeXmg6LoihEGfyFwl7V2AfAklycic07K7klmB+qE4/MeP/3bE3z6qzXCbF/BNZk7zVhSGp6ZgRrWliYwepGWkDvuf4+Aepy2/xa3cVyPZDQZT9u7P5rt7ZMx+GhjBIX+HtHhZZCn42DT1deNeVC5Bo5j8FTC97ypj1bwM789yfELPukc5lG5kgUvKKxwgeFQkHYcOYLJJEqR4h8FeRbPlQ9l+fwoaZmtC0S0nif2KWpBTLOxgYv2XHfX9q3bfzJJFlcdVzX+xv/5a7/GNS9/VTjR8G9ZmT95bbOSyE1zPlNNHyUlSpXtsrF9yLOhmmMd8WuCW46xeC5RRsGduynacHZJ8TO/M8mnbq8Rqqy2u5hI5Rhc5wBX6fgHX9i01zIriy0FmrLYDjDbTLb4HuUDXGxvWN7wNdt9WeQ/H92KvDzaoHg9/m9T6hR6gb9fGi3B/7+9L4+y46jP/ap6vXfunX3VWKPRvsuyLAlvko2M7RCIMX56JguP8HiBJE5IIInzDDwI4ZwkNiTsgSQvhoBDiIMhPtgQjEyIZWMb78gIW6sta7FGGmn2u/RS9f6oqu6q7jujkS0hA6/O6bm3956+X//6++1aJJ1h8aEN3kbqmdP1BSIltfaAZi1BKfQ4bHAsWxShu53hkWccTFb1pz/zdiIQyFXufGhYSTbJhjtIgdGAOlqWeEE7FkfBBdpLBL7roB66qNQsMJTjjq6l9w0fe+HrPXNWnlqCqxOF9akbly1o3TA6Eq0teEC5KORLFBNYMZU/AJNURYsqzCiU04I7A2yDipA0mIpKi0lkE/zj3SXc+d0iAoua4DY+8zZv3WOZ5d0mrzZfjVkHj27/bgSi5CfUfszZSm/Dm5lz6nDDepKuS82Egt7o7UfSENusJE+5uFSflGVF2shjeWAiStuCxICNGP/96gp2v2Dj1i+WBddW4lFXOCWvVo41BoIAgq4IvqEFMBmSHGm0pMa9RbaQ6nsqBMRUNcbQMDDuW4hp8ZmRsakbW1tKDe8tbbTwzddejTmdPF69cpDP7eXobI1RLMSwLFOBMdz0Kt4Epm3ZdL+bCQumuz0ruZmIELQYYBNse6iAO7YVUad597thNUFqNUn76miAhg50k7JkQas7fJRw0rm2Dmi1waki4BqCW9vQoCnIuOqhg55ILq5vJ23gmq057ZxMcspn+pn2/WGMCu8ns+R3aS9nFB7jeMtVFVx5cRUk1mzjiZ1cTcpeLorNMw6EHAgYEEj7dySdN2YHi/R/0YWt/naJYo5KLcaJ8RBDJyO0dZ7H9x2qxSvXbml4fxtKcABYs/Y1iKPqHXa0c8nw8EhTHNNEImeVJF2iidLHvLGUphmwK85NYo2TC1MgJUKhJDZwz4MF/OlnWvDs855MGNaBnXfoUKnYWDnF0nTkNIw3MSSyyQVJboU5mwX1KcGdcWPmgoh0Gzh0xTJjE1eBTTkJrgdk6VIcQGI9EWZEAiLc+FzYuwnhYMyCJOdCgMXAqgUhPv6ecdxkAd9+sCCkuOqUnDEdpoOCgSJAWmvR0yQ5kbHtRCVzEEWOMpKAc0SMgIdAWGPo6Gyb2rBh4x1NRX/ae0ynW9HS1s9PDO38dGvn0hMEskWIbj1IAtF5Q0qSmgJ1p82pwK0SFyJYtgD3Nx8o4ObPNuPZFyS4p/VUCt5HaZaaaOGwyORYGg8nN8GdADilJ4Yu2QDAJPNlRls3n2G5FqWpFE4zvS0fVWe47AHDi2m0QdGWca01oVmaWX0KyR1zCywW31lAsHxeiFt/fxxv3FQVVaJiXXLrklxNDOAikSPkQJ0Bdc2TGcvvqTRPCmflbw0Xp2Mxx4XnLznxyBM/+fT8wf5pb/W0EhwA2rtXIqiNYejQUxifqCduYCCj3Ojmv+xEG0hvDdwm71ax3QywgW8+WMD7/7YZO/f7Grinm0xqYiEfIagUuUbS2wS7SU0SzBrAhyGqc9JaPRinGjwjyXXAqnn91a2CsIDk90in1CYunD5Zr6eKMmQGN1fLleSGjEQU85ZsD2ilZZaDGKvmh/jL3xsH58C3HiyKC7UksVLknjbCXeoQgiwPB9kZmST2fBXrnjbkUr+BsExy+IUmrF2zBB1tzTPeXjrTyvaurrpl0d8h7sDU6IQlCqmDmFI6m2KWlFvLglvatLWEBWqlcSVUJgwTKjj3tx8q4H2facbO/d404Da5N5GS2syOz8ScwJTeWUpiKJAZsCcgTz5NS4B6ArLbzALfCYj1+QTYBilXlgmzl2XK0RUvN/Ukk4trpkRdqjOacHGuuHiyjWxAyy3JzS3EdYrVgyFuffc4Xn9pRUhuxlJJnkhzM3ZFTIKD1yUnjzgQsVSK56W5DEAjBLZNUCoSnL9i7hQh9Hd6enrrM93fGSX4saEKK5QWPtY36Iz/aOfhJt+rp9Qj02XBcNhkwJ0ETWUsJkST4BaJQSwGbhF85xEfN31K0ZJpXPAJRSHKKpWJFDRBrdcXNExsaGxag7SKmA8AMSmMDnSYVAbp6hzOdZu3sUwPkeX57U1lkuelfMLFldImOLbJyaWNXNU4lFycUmVxES59SFt5EsYoDQgx0a49AFYOhvjYH4yDc4JtD/uIs2JTSfNkshILS6Rc/zIwnDDVw1PUH6SEIJYmXRUPTilHT0cBW6977fi8gYHHJqfG8+5LbcwowUvNXSg3l4cJoq0XnL8s9Oy66D+pFZ239WZP1IwCtJTCqDttpgM3FeD+z8c9/NHHm/HsAXdWtETPjrdJA6eOQaUaKJGNlEsD5PllCXYbLHulIwd8Dd05BydSaZzGiOuSXa3LSHGm83BZIUuX6on0pikXl5GHXPHyRJITrJgX4hPvHcMVG2qwDEk+zaS2YcIkWeeCkwcyYjBiQqKrCMIoBiImAq4mpiIsXLwirNWjreVy83Bfb/eM93NGgDcVbUyNPY8F8+ccXrx44f7m5ibR/sOJ4dhiUu1BcoUwLbMoD01SyxQtSV3xxGLgNsG2Rz28+2Mt2H3AFe3vaCNFUkn0FNw2GpddM1zyMKW3TlcUkE2g58uuZYEP/XuycZ6Qz8pUOA0Ph1IakQUuUsqi0RSmzIiayVCX3PnsLKTd25hoE6uUzrSVeEpbTJBLc2IALBkI8dk/GcOVG2uw4ligsSHAdcoSgzOOiEnFk6UgDxkQxgRhDAQxQRgT1IMYxaYyFixcsr9vzsDhnbsOgJAZScjMAAcASil+8szjB8Yn8c6WjmVwaADfjeC5orhO2gNHTaZ92wiS0qpOWVQkLFgOA7eB7z3m4T1/04LdB11wl04jrU1nDiSQbQluW3MMTOvQAUxprueQwpTIWQU0C/I8eLmxnVg/Pbx57ouc1SwpeY5OoPyDwlqSVUZTqZ1KdVPaG+WYuXDGJJJeSm+uwMwyktwAuZVIcl4nWDI3xCf/aAyv3VgDjZnITkikdpQBt8nNIwbUGFBjRHBz+VmLCKoRQTUkqNQZNq5bBteK3/nAAw8foPSU8J2ZgwNAsXkQQb0Cxy28dOwQe+AkfXRTkzcMQgmiiMiHQKMnliahiaIkWuwJiUFUmQcXePGEhYd/5OLDf9+M3QdccLdR0JQObisBtyUtJmYCsS7BGxUE1aU1z1OSrKlQodgwF+Yz6xUPF8FnefDPRoonkpzoVhMJXKLPpxwcRJPKBAaH1xMiSAJy0z4uuDuRnR6kPiNj/kWQufh9GScyetBK7N0Uso8TACACDWMsmxfi0380hj/7B44fPu3hxWFbFJsnMu6FCu+o4ONMTmJ5DIqavBYGDocT1ABEdQLCYizobcWy5cseuPp1l7w0OVVFuVQ8JcBP/QgAcL0iKiPf39vS4n26vXcBJmrDqIeTsK3QLDqv2oRYEWwayfVRKrFplFpSPGD3Sw4+8vlm/MHHWrHrRU+AW9XsNqS19l0GalAgKdzjEA4bmfxKLWhKLwWhlpkBYnl+nksyzsRuJLBtoETmPT0zSPGsswemQG+kjKr9slUO8gnKJLdNQkt4Ix5OEwkvqAnRtlOeTjKNJLfBmA1WJ1g6EOIzN43igzeOYXF/ANSVLVyX5CHA5MQDgAUAi8A4S+zkoZTqljcFxxnGhg2L4BTKn/6Xe364dzbgBmYhwdUotg4ApOWxkaHRu776g5HrvGg3rt9soVwQ0ln0vxFl0wxFMsnuEVycgIP6wN4jNj7y+TK+fl8RtdiawRSoV6SiiSS15MXreZW6I8d0wfM8RUEqvfUHIMs/0ocgT6xTbBOcUkS/jKEkuilxeSrRYQIbugVFJg/oUh8GVVHSXd+RSOktYl0JqDyfaAdCqZLYrKEkV1oLDWP0tEZ46y9X4Lkcf/63zdh3BIDHTekNCpAYIr3HAkgEcAfcchFxCp8A7QWGay+ZxJaN/WjumX/XnP6Fj9VrI7O+h7MGOKGLcPeDxw509179h1NThy3Hin5ldOwkCu4UXKcO2w7hOgE8PwSxIyAGeKxb6WWJNodg32EbH/47CW5YIuSPzB7cNgFciCZRhr07qT7GG1tMAIObGxI8+UwjBRV2G1lTsjzcpDWzRDs3N+XqaIp+aEBO1zdygmoKKJFOblm3UCmeRILZ0imNemg00DNQUM7kQwIkaTlUOIJmAnnMUgc7rwOezbD1yirAgQ9/vhn7jziAI+2OXN4sBiCiokysYwFuDABgxIPrAt0Fjp6mPiw6b9Hdqzde/IfASy8SsmjWALdmvSWAr37hY/jjd71xbMOa81a3+sObHHIUzaU6mgoVFPwqanGA7z1m4+vfd1ENCPq6IzguFyGelIB6BC8M2fjQ35Zx531F1GGJ+NXZghupp1JVhE376cDIlE9DTPXCmuln4tVUYarJPDHXJdur0GCSLKPqu75Ohsbq8ypENp2fJrirQeaQTpXS9Q2OATQ8bsN6LoQnD6jxNkP+msTzQ4xP42WmB5rpYWhSF3Yox7KFEbo6GZ7c6WBsjCT5d5QxNLkRXru+gl+9agotpQBDxzjCQNjLXdtCkUQ4b848rFi1+RsvHBj6xsDc1acD2dlLcDXmnteLYvN5t7rsJwtQe+4tLcWXEPAK/vrLPrY92YYjR22MnCDo6gzR3RXizZtreNfWKooex5M/cvD5O4v42rYiAtU6AQpds5Dc0FLPiGbzzjSLmi4clmZ+4EY28UZSvxFlaWxFyf/usxpKkusKpjy6HnLE9fUa14Ysw6BXwtJDZlX/ylSai+2UVCckVVIZhyy+SQHKQCGK6gOzl+RMZQZRBhYDnsXwltdVAQZ87s4mPPUTG00e8M6tFVy3uYaezhhdnQwnhi0cOWrhvicL+NS/dWB8sgXo7ERX38Ada9esvPW5fYdPF64vjzkee+HfEfJ5xVb6N/d+/9GXLvvX+0u46/52VCJHlnwLgbgORAGa7Agf/O0JdLZwvP+zJYxMWgih+LZu13YaKJSWKblVsUzI5GGamgR1mpLWGtRoC8k30koku7FNKqH1/pV6woGlEhxouo/4LjqVZecpkb0xKUmOZWlvkuQNpK5FtTG39OvVe4+m5TiSJrnqf8+1gNFKd+jzKumbar2RMllYKtRZZWcZVRCUTqVHihLdYx0lpmJCYlALCAnB6KSFmz9bRlcrw4feNYEi5YgjC0HkgsUOCIAojvCN7Ra+9kALnj+x+MHP/MmvXfPcC0cr737H608bq6ctwQGge/DNeGbn9sowe2fwwS/fgZ37GIpFD60+QZUB9SgCCwgQxSAsxolRiijmGJ2kCBOJrUtt+9SSm4p0QDOIKgW3XsfEeM0DjV/n8vE2+TMx+DYy2+iJDHnlkxjrTyVBlMTU1zdSGFPJLpMd5HzOZU8ahNMa26amRtEpkCQ8XwhmjY9D5S2k1bJS/i+K7J9KkoOr4Cx5bMbgWEBriaOnnaGthck64gRB4KFab0I98BBGon7idZdN4ZpLKMadXw6AicpVW04f3C8b4ADQ2r4aMWOPXr35+MW8/lDB5iFiRjAREAxVbEwENhb1RfiVTZO4+W2TiBnBXfd7ePxZX5yVEDQOnEpNgQQaLUlKPaS0JFd6TQfyDIqmEUSV8pDGlEVDs6E/Gjy00ffZQl33WprLknVq3lAkzdgUSPBzg8MQLTbFBHmawCzpjW5ulOdioCBMcQ+mpV+emq4QcDBqARwgXFhjCOF4+jkbt91VQMzFW+3ay2rob7ZQqxcwOtGEat1BFFEU/DYsWnFRdU73ikehV+z9aQF8bl8bxieqH3jv27bwYnD4vc/s3ONP1oCmGkcYA6vnT+GDbz2Jy9fU4HkMIQfeenUNT+wsgBMKkQWvS3K7MS0hspbgdODWMJpKb96QVwPc0JeM/bLATdZP77LPOnpODeVp0K0OoFtVuCnNlUUl3S/l3smDoHi2VPiSVDftmOo4qt8rMezoWiGnJPZFJFQwDeRSLs8Acpk4wQHCRD1EyhlAOf75Xh/jkzbq3MYH/s7Ddx+u4aZfjzC33ceJ0RImqzaGRwi6+xbVFpfe/MkoLvwfx5mdzfuMAhwAmssF9h/f/vaHL1zdG/Z3jtz8nw8NuSXfw4J+huu3xLhspQvOLIRBHdQJ0FrW0q9z4E5pCSVpfIlSKFXt7iy4c42itOTdXCis/KFpA/BnIwcNQZx5KPShb5cD9svQcPKRhho1SYCc1t1W6xVNUWhN6AtRcSfi+pUZGhqgkbj4KThhOm5Tqc0kqIkqqJ+imlMKzoSOAWb+P4RaWvw5MDpBEXMbcDzUuY/7nm4HrAg3XOqj5BVQDUMcGe0MCp29H3344cf/4nVXXTNjtOCpxisCOABsWHUo6JjbdMv99zUHO56d/Ihrgy6ZB3S3tOL4SYqmwiSaChyOFYHFMO1vRkNWgUzd/W5L8CqAEzIzuBMbOFKgZstB5Li1vgzIUxntewpaDc0Z0d1wcRboGft3o8U8s9Bw3Wv7phJat6ZoFhRVLi1LUYh04avVRGtwpfg/9Cw0As6Y8t4L64pqrc2ZdA8zg9Ml951ZoCQGwOQLmgLUg+0W0e5RnDzO8IOnLAz2EfR2F5nb1PaRx5+nHy9YQ8ErxecrBnjnwLvw3e/eW7Xs8+7acvnhPz9+6BG0lCxUai4mqx5cJ0DMarAhmoymlhNV6iEPbpdowVOJdUMlNKfgztl7M8saglab14e+LM3WMUV5/jikMYAT6kJyywzwat95Ft06z06WCdpBFLAbgleZ/FJNNce95XaEcFMZhShDrJpIqSFAzhNOTggBKNNebqLxVfb/FEdJS8JxFsNWpWSJDdeiaPc4yh7H6ESEXUGA5as28Y0L5t41ValWL9v8314pPGcXi3KqsXjhALZcsX5PZ+/AjXbLanZsBAgjFVcMEMpxcoLgi99pEj3iiZNONO1VWaCATzlcqtUxISL+PDUFNqAlOsjReFI3f1qbN8mAHMhRlka0JQ/ll8lLGn3XlpkxKBmlU/Nk6tekK40qZlyAXvN8Qqtci7QedzamxWw2q0UYalOcTFYaSivjVGJmg0cW3v76KtqbQ4CzRHBZFOhp53jbDSvZ2jV9N9LCa/a0tM89E9A8MwCfv3A57v6vXcHyiy69DSj9sVfoQhSKMFrXCcEQ4N++V8CTe4uA7QHUBagANyUELgV8CniEG01ZbVWgh+hJDNmiNwpv3AArSBpUpZRLnY8nMEheqem8sSjzqRfBN/ecwcoy3eDGhxFspZdwMwFMGm6bgtgEqJ7EbCyXF5ktSQEN0Eb98SQZQnZvS+LB00+mgTuOrRTssYUodhAGLtYuZLjhygkUUUcQMdQZAWcR+nr74Djtf7x46eW3rVnxeLB61bIzAc1XTlHUuHbLOgwNDcXXvvGN+44demJi6ti/l1tKY3DcKdx2t4O/+HIn6nFJAFzSEkoJXAJ4lGt1u81sHKJ4tQY8IzoQKV2ZDpcZT3OOV+doDTGtJzpj0UeOxaABrmcAepaKp/OCMyjQkRTTOXNfzgvKlakwNRsqPq6UTJA0FiU5tuTjPHldkLSpA1eHFwQprUUplF0CnnZUk59cShfOYyOq0XUoPvT2CixrGP94j4Oj4z4Gultx4YZLJi6+dP2+48ePxd3dF58pWJ45gANAoVBAyR25u7R43e9Ffcc/WR95vv32bzH85T/34WTQDOq6iZkj4dvSSuLQVKk00sxggjnvnElxlI+hSBHUiGbkFEnk99d0pgzlIaZSaZzrZRAWHagZ0Db8lPw7tZak1WnF4ZQ01yww0rOkeHwiwUnK60nyz4hjMdl6hCB170Pj8CpAjXMORkVGvKUUzsRGL0AeMyHJPdfGzb8xhTA4hG2PL8LrX3/FyYtfs/49+w5O3j1vTtOZhOSZBXhzc7O8kcdud/2r7N2H67d+6b4fdI3WCVqaHNgESVUjAuG8cahqxipLGyOjQMIEtvqRxbKUlhgjs28OtAYNMfkG0bdJgE0MoKPBMQFi1raGsXL6oSmUgObEyVg8cp/aNsZxtJIRplSHppymxyDypAnI1Q7Za9evU3sQ9CZjhIt+8pyLSrKcEnARvAHCrIS7V2oFlAoV3Pw2D1ddten42jWb/vfIZHD76mVzziQcAZxhgCc/KenGngNjX2zpfBO9cB3/q9GxR7vKboR6SDFSF64CCiG1XSJ7VVIR/iooR146m3jh2rlmT3sNKpGV4Dq4MxYTNAJ6chzS+ARo8OA1GLzRggxoc58aBQEagN4wLZLESpIYwGf3K2oWG2JepzajwhuSTh7JNTBQLp3WEG+NmNmoVH3UAguTvo858zYcf9Oaa94HVL5ISNdpXNvsx2mFy57O+Mwnb8F5Sy55qq3kHm91qpub7MlCRwtwZJxhvE7hWtJiYgGuxeHIyFmlVQuPZeOoQHFjGwhgMv2kAptUyCxJ5tPQ0ySUlhDDcZRUjNVCZVWwVaJ0UmIsy4bHZj+zsTE0S6Vy/6tWyTeRmsrWTJL901AFVb8mf0w6w71S51MPdPqwzVTbUORw6hn+6jWo2tUU3AiVgGPH3lYcHS6iWB48WW6Ze1NlbP8XS+0bzxYMzx7AAWDbPV/FDde/aUd/T/ng0nnu1RuXHvJ6u07i4V0+LGKjyeHwFLitVJJnwd2QX0twQ1PCQGYB8tw8SQGvg16L+U7LGZMG+5iRg4Sk+88E8FMBbNrt5Aa5e0IACv0cXMxnY8wB7cHk055DgFyZcbLpb2lRoIZg56q6idATHDsGpVX8/bdt3PNgCX09CyZ6e+f+3lTV+cqytTeczmvltMdZoSj6WLXQY5V65x3drTzqaOr80vHKEd+iXXCpALeS3tnMd53vAVqVI6QshWvbzcQGNOqciSPJuOcz9CTZGam01I8BMk15tllQk1w2j6QZJLPe5OMkaX2d0A6uYk5S9724bxoX1+hKQrEzdCWVEbwBuJF4OfWSE8l6ou8r+50y2XGCA64dg1nAviMheHGgHtCe36rWi19//qX6K3LDz2acdYBfcsX1qB79XOz3tHz9vu/1xw/sKvyzFZ3w28oMRUfWfdYbsGYwAAVqRpIwh2xFJ2T3yf5qyB/bWK0rj5juYZDHICkPN7h/dlv9PLMAfKJaKDAiNRE2UjqJNq+MHkbtQpK5N8rq0ug+6dcpwZ2qAcpAKEHOqFbumGhOKCL/Ct2AUo44ZoiZuDjbcnHTW+fVve7rJ/zi/IdYPBm/frD9ZaJq9mM2suaMjN/5yJfgz+8k4d7hrUcOHf2nQwdeKPouSSiA4pBp8I+c52a/xJilVY7UjRYA4wmdsTSunWT8ZBMLSJq8kPBvSnJc3JqGnhhcXVETanJvdQ6ibUupycHTY2WWJct5QocsbT5JgqD6Mq4ldeSTItJ5vX5k+qkXU1UKo6IdcUwRyRopMdPrGqrfyawXL+4zA8DhWCG6e+dU2jq63t45/50PAN5xAPGs+oi+wnFGPJmzGX/3od9E+eg4X9m852sbV/X+1sUXDIyVChSWxeE5gO8Crg3Jx+VEVfsK8alS05S0EjdZFWtMC6irz5yYItPMam8PXWpPp/iRBgcjmW+kwfkajbyLXVunbWOEr2rex7SSlRaHYuxPwGc4vxE3TyBru3Mt20d07FA295gRRBFFGFFEkeyAHVFEMUEUU9RDilpgoR5Q1EOCyYqDGl88VucLf+v2f/e+dnj3V48SQn4q4AbOspKZHdu3fR1XvPEduGB5z4/7e9uPdHR2bx4bGy8SVoPnWFIhItLsJKWAlUozLqW4aOkspHlsAITkAKpbDpTkS6QtNaWlkZo2nXJJ0mUksyyfYDzTZwMFMzU+5KmSTqEyekH2YaSZcxhe4eR/VSBWqX2pVE87VDPD0xnFFGFoIZDAjhk1FM04pghCimrdQq0OlMvN6OlfeyLAwHvGKi1fWbEwwNILfvOnCbmzz8Gz46Y/eDsAYOj46Jc327Y9f6D7lkcf2d517PgYxqaICMFk6Q+kMsljGa0WRLJXeSyKMwIKvMIKQ7ioTKpLsqxClwMMJCj0zXTQavtB2xfICOlTabuzGbriKWcNqax4t76ca3xd6Sya1M/dC/10yf/EZXMuvY672DiiNAnICkILtYCKvptIvc4g4o0aRhTDowC1W3H++k3Hl6/acHMcx192/bazA6hTjJ86wNXo6WpFrVr5wi+9bhMZnEP/6hvf/M+ugz8aAZUxKoQKiuLYRHR2A4FTB4YngaOTFAEjIJZKRuZw5XEp4Ul/UiMjRv2gQEPAGhRESeHMstR8Rgypq0vmlzt0ZRHQfTsyrFXbjhOSxIykuZiqrSABZxzc0sBPMiDX/n/jbUfTcti2Jeu3Ey4Sg/0I9cDBZNVGtS6YrW1xODaHLbt/2FYMzwkQoROLFm86vmDppe+rBfwLTU3Ns7gDZ2ecM4ADgF8ogvPx21auWRdV6/wTEd/W9viOCqjMi7IswHMJfJfCcyk8B1i+ZAI/3F/BQzt9VKoFOK6FguhPAtGtV0hjzvmM504YQQN+3QjUqfNDn8wk45yd/jRHIpmJArdarqCOxMxnKOHaQiXFuWqpbVhSgLwI11rQyAx524plYdUQRT9AEIX4wY99PPVsMwqOBdeh8F2g4Ilak64tzmnbwGjYjPWvuWJkcOG6m0Ymoi/195RwLsc5BTgAENIMzqu3r9+w9mRlas/CuXObPnrv9x9xjo0Acztt+C5FuWijuWSht4Ph/CUxtm45ge89zfGJr3Xh8EgzmOdoBTcJLMrzyhtBntPqpr1EySLIOoR0bp/Yvo2JGCc5XWneiNkYUYSa+VA1FlaRIyonmCSmOxnlB6Q5ltq9aKR3K/t1UkTViuDYIZqKNQyP1fGpOwv4jyc6UKIOLhiM0NVmo6Usith7Dke5aQqHjzO0DG4K4xPhny5csnZfU7Hwrdayi3M9zjnAAYCQAjt4YM/dW7b8hlt6alflRI1+7vv/9TRx7YD6LkVT0UJbM9DeEoMSCwNdPn7typN4avdJfOU+F7FtoU4teFR0600C+dXPmZHMCk66cmgqhqZSmNIVooXqZkpIkDxQT6dbprGvFnuinFmEp/+P8gdQFeXBVQXZTP1CaV5V/ScZkPSz125NYhoUZkcpwZ0QnlPH9h0E/3ZfG0bqLVjRyzEyEcGxAWoRODaF5xDYjs/OX7ucw1/0+3OXbvin8dGDQX/PueHc2fFTMxOeasydtxj3P30ksEvdt/fMGVyx5eJlH+rv7wHAUCoAzU0MpUIIx45RqVF0NFNce/kUelsrQBAhZBwRTz2e01kIsy7pRu77RlYToxms9jogDc7xcobaN8co5JfEDMhM34DRG5MRrUcmMtVjicHv8+c3m/b6boTjYzHuud/HS2M+HF9Ue52qMUxWY0xVItTqIcot3aCF1R8anDd3xcJ5rbd3l3YEy5cuOJdQMsarQoKrccWFywGg+i93fGP3hWuX3vLS4ZIb1ts+QIJDVpNXQ6kQoFSswXVCUAKUPAaHhrLsroNYK1yjjwSTOY5tSu+k3qAGdj3eBNAke3LgzHlOc+hURCwwD2QU/4G8eMlTEj83I6BU67DGOIxCQNAeEJV1n71Hyf8qG/VaESLOMFW3AE5QixhGqgRlD/CnIjQVXPT0zY+7env+Ys7c3lue2XUyvnTzinOMoPx41Uhwffz6W67H+OjJ+H/+5q/92a/+6ltuPX/dxfVySytam2sI2RgYRJ27JX0MqxbXAdH6SAwOkzrILyldTs1buRITWrHNpAgn1ezhxIxTUZw8O15J9BDXJ55ZrsWEMNmwTEnyRHqrZUyL/TYm1SV5mpAHZU0hDDv22njuiA9QjqI1BW5XMFKjaG/vwObNl9bfdN1bbt1y1dY/O3R4NL5087XnGjYNx6tKguvjhq3XoV4bx9gE+cDSlVfQ6kD/xZVj/0g//rXzLl4z96h9w2sDDPQwrF4Q4D9+KH12mlND2WbRUGpnnSBERjGmUtxwsyvlUV3cK7SWzGYYQl0DX1q9TUhj2dZSap6ChxPpR2AcoEw2ZqAK0KmOAi3GxKAy8gzP7HPw/NEm2LaLX7pgBG/YVIq+8J2Wh9/21uvZ+jULHrYtfGBkZBxtbefODHiq8aoFOAB4fnLj3nfLZ+9GzN9Untc/9Q/l8v4bjo09S/us58EZAEJhEZKUVFbOIcMUmOPZmkTWJDUlRHpPSbJeAZo3eq9r44z4eTIHyFlTkFalAlQNkwZKo8bTiTQbMpKGMaRJySmw9eRhDiJbattY0FfChcsWs0sv7L/zhl8uvGuqsn+i3HzBuYbHrMarGuD6uPn3fwWHDr44QWjh3UF1/l4nsFdVefG64bG9AGx4lMC3GBzKk948RoSgIZlTLq2WWSQDbglwFeWoewqTxNwcgU7P90pG1rYOmB5LDiQEnMk3TbpVmujACBHrmWi3QzlPWnybyqwAN4k4QmohjC2EoQXfiXD5RYNY3N9312WXrftxW+95nxqarE7MG5x3ruEw6/EzA3AAOG/uAAAM82DvB+H8+rzndu1A78C+6zo69iGYmoRfoPCd1DinS1zDY0caWU9UWWMCyyLSo5qa+lSbbMjY6ySQdBqQz3Zkd23kONLBrfNrkeSQWo6kPRGUkBTQGkeP5f/IGUm9SdIdH8equzGDY8WIeBvecOUGrL1ow13N7Re9Jw5HDrR3dp/6H3qVjbNNJc/aePDpUbiOveiZ3XvXRPHkH+740a7N+557DmNj44i5jSAW/5rnAEWHy2hFAtvWwQzYFoFtETi2aBNt2xS2BLnusGFMxMOwmCHm0sGiQKbMiDRriSE5a002XDZrsdFT6pK6LjwND45UC0plQlFvH0tFXnI4NuDYqRvd0iIxHZvBdRh8L0LBE+0gCYB6aKFS5SgUypg3fxCdvYu2W27Tp+zi8h1AuJeQ/nP9k7+s8TMlwfVx2dpWANjLOd8L4Mf/QqK+N12x7O8fe/K5Rd/d/iPrxGgMxgk6KEBcJCC2LDPmgyClJBYlEvAUtkUTkHHIYK8IiGXDMMaEBFdexVca/ZlzEiXOFyTdG1SD4CiS55cvj5gS2NL0QggBZRxWJsAqjolswy3+V84JbIvBd6uIIo4wbkd77/q4tWvZXseb+m2v9cqXAOz+aYW1nq3xMwtwNeQPsHt05OTuKIqvsWy//w1Xr7tz955vN99299GmA/sY2kuA6wAFT5j+okh01wUDuAwYphSwLQrHFpNtIemowDkQxTLWOgDCmMlCokgK5XIuvIQ69wdSmpTDSc43j9TqIx8sFSpMAFDGRcJHDAQhQxQJRIukDAJmi5BVEaQmLSxAkuwQxQRBQEHlhbgOgWdHGBq3sePFpVPXXvOG8SaPbfWKg4cJpQd+1oGtxs88wNVobWtHHPMDr93ceZBgbCW3rrrod1vp/9354z3Ri/t3t9ero+VSgYASjmMjESp1DtcGbFu2JaQUtgS35wCOLYKHBMB4YmMeiziqNcEPqNROVby5IvqpDsBBdC1RKb266VKu04tjAmm2jmPzxMnEGDAackxWIjDGk7h02xJKIgeFRQliS1wMpRyuw+A6MUYnCU6MubBtCmJRdHZ2TLT0DZxc2Dto9y+x3kn9xY/09BfHALCfF3ADP0cABwDLIgDAHv/JkRHbGby3tXlsyf/52L/Wf/K9v/mTJ5984n8MHzsYNnlTy/a9NOLf+3AdXSUCzwUoobAkhfFcoOABrsZfHZuj4DGUm0LsOcQxNsFR8Ah8R0pbnsa2WDQFh/AkSiphJfGAOX5tmO3UQ0BFOKrncHguQ9GP4TgMT+0hqEwx+J6gXZZFRVixIyiTRSlcmyCOhW3Qd0O0t07i+WMlDE/4tf6e5uf65813zl93we0vPPHbf92/4BPe0iXNNfAhRsirx8V+psbPFcDVWL9iDiAMaZV9+w/Atu2P2rb10Y0XLrHaWwufuygeWnJg7Phl4eiQ5bt12DYBZzEsSlHwCEoFhqKv4MhR9GP0dVYRYgRfub8ZYyMeelskBZB3UJgYhaIKAHEspb6s/0dYvgYLIVJ5lYpjotBKWmJRAe5yMUJPRwW2N4mdR0qwAh997RwFF+CyCXfRF6Lfkhk6nmuDUIqmkovevs64PLb0wQ2DbbvjsHojoTx2HB/z19/G3cJA5Vz/Xmdz/FwCXB8LF8wDUn0rOnh09F2+77W9/8bhv7znW9vc4WMH466O0jrHIhcGtRE4dBLt5QCExhgZ9+C5Dgp+hM7WCiaDcUzWfZyYKqC5EMNzhMmNQIuucwVKgxCoBzGiWNbqsyETNyTft4VTKoqBagAEQQxCAM+lsC0RLEWpsHoU/RCtpSpq0Tgm6g5qk0W0NsUoeIDnRDg5EWN0gqCrjaKl1IreOd3wHfKE71SebG7vs85bcnnwvy7oeD/i+gixz04FqVfr+LkHeHbM7W0FgBEAvwsA2+/fDhCyOYrCq1lU3epYU0t7Wofx4OOP44ndTVizgKOvowLbPgErmgDhrZgMgVpIEqkreLAIHS0VgHKR4dlDMYZGIvgO4HsUlNLE6mFRYb4seAy+GyOKAxwestBUEB2HBKcWlMWiHL4bo+DXYVl1RFEFJysuRqcs9HcWcNmFFnYcqMIvrsOSuSV0dZR3dbSX7/Q857uc8+0bNl52rm/5OR2/cADPjs2XbwaA7WNjI9sBPMB5vNCzDrHvP/Fj1tq5eP7qtV03e3gOTxycgzZ/L9YvG8Gz+wo4Puags2xJk6IAouMwlIscC/qreHhvBXuO+BjssoREtgFwZfUQHL+lFGOgbxTj9SnsP9qN+T0MtgV4jo0wJKiHAOcMBXcCwAi2PQ6sXNCGd7x5Lg4c9LFp7QKsGBi65USw6/mNGy+ly+d3U9dz9gG4t62t9Vzf2lfF+IUHuBotLW0AcK+aHx0ZBrXc1trkSw8fP1rDs8/a4Q2Xr3vv27fWrxpc6IOA4sVdT6Lk1+HYopB/sUBQ9GtoLU2AYBIjExZ6mxlCnyGQ2TKuTRHbBFHMwVmAojuFybCKIyMR5nY6cF0ffsEGKFCpM1huC/oXXQq/UMPadQUMLitsu+SCY5/4zn+VnFWrV2Hx/Ku2DywLRru7f7Gox2zH/wf4NKO1rRMARgF8EwCqE0cAQp5rmQp6rm7hLA4Z7j6+B7ZwnYiSFnEULll+4YfbykNvXLNyMnS8EuZ1CuphSY7eVKBwHAKHcpSKDIXWccybV8XrLu9xzh9sumf/nmc+7DqOwzgQsRjUKaPUcQEch2D9+S6t1b0hQvjz735H37m+RT8T4+fH4PkqGC/sfggA6bFxoOX+HZP8wKEi+toofI+CEMGtiwURCkAIR8HnmNM5hWeP1LBjTxdZv6x7jHE+dM3rfrF585kc/w8MakxYPla/NAAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNzoyMzoxNiswMDowML+99dEAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTc6MjM6MTYrMDA6MDDO4E1tAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 114654000
{'hecke_orbit_code': 9007268007772885, 'n': 1, 'trace_an': 4}
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id: 114654001
{'hecke_orbit_code': 9007268007772885, 'n': 2, 'trace_an': 0}
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id: 114654002
{'hecke_orbit_code': 9007268007772885, 'n': 3, 'trace_an': 0}
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id: 114654003
{'hecke_orbit_code': 9007268007772885, 'n': 4, 'trace_an': -4}
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id: 114654004
{'hecke_orbit_code': 9007268007772885, 'n': 5, 'trace_an': 0}
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id: 114654005
{'hecke_orbit_code': 9007268007772885, 'n': 6, 'trace_an': 8}
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id: 114654006
{'hecke_orbit_code': 9007268007772885, 'n': 7, 'trace_an': 0}
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id: 114654007
{'hecke_orbit_code': 9007268007772885, 'n': 8, 'trace_an': 0}
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{'hecke_orbit_code': 9007268007772885, 'n': 1000, 'trace_an': 0}