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mf_newforms • Show schema
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{'Nk2': 2184, 'analytic_conductor': 4.359831950361909, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -1], [13, 1]], 'atkin_lehner_string': '---+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [546, 1, [365, 157, 379], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-2, 1]], [11, [4, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797777954, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '546.2.a.g', 'level': 546, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '546.2.a.g', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/546/g'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '546.2.a', 'trace_display': [1, 1, 2, 1], 'trace_hash': 35829681598651237, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.999', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.042', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.001', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.136', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.098', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, 'traces': [1, 1, 1, 1, 2, 1, 1, 1, 1, 2, -4, 1, -1, 1, 2, 1, 6, 1, -4, 2, 1, -4, 0, 1, -1, -1, 1, 1, -6, 2, -8, 1, -4, 6, 2, 1, 10, -4, -1, 2, -6, 1, 4, -4, 2, 0, 4, 1, 1, -1, 6, -1, 10, 1, -8, 1, -4, -6, 4, 2, -6, -8, 1, 1, -2, -4, -8, 6, 0, 2, 0, 1, -10, 10, -1, -4, -4, -1, -8, 2, 1, -6, 4, 1, 12, 4, -6, -4, -6, 2, -1, 0, -8, 4, -8, 1, -2, 1, -4, -1, 10, 6, -12, -1, 2, 10, 16, 1, -6, -8, 10, 1, 2, -4, 0, -6, -1, 4, 6, 2, 5, -6, -6, -8, -12, 1, -16, 1, 4, -2, -20, -4, -4, -8, 2, 6, 10, 0, -12, 2, 4, 0, 4, 1, -12, -10, 1, 10, 14, -1, 16, -4, 6, -4, -16, -1, 18, -8, 10, 2, 0, 1, 16, -6, -8, 4, -12, 1, 1, 12, -4, 4, 18, -6, -1, -4, 4, -6, 24, 2, -22, -1, -6, 0, 20, -8, -24, 4, 1, -8, 0, 1, -6, -2, -2, 1, 6, -4, 20, -1, -8, 10, -6, 6, -12, -12, 0, -1, 16, 2, 12, 10, 0, 16, 8, 1, -8, -6, -10, -8, -6, 10, -8, 1, -1, 2, -12, -4, -6, 0, -4, -6, 18, -1, 8, 4, -8, 6, -24, 2, 30, 5, 1, -6, 2, -6, 4, -8, 4, -12, -4, 1, 0, -16, 12, 1, 6, 4, 10, -2, -6, -20, 24, -4, 20, -4, -6, -8, 18, 2, 8, 6, -1, 10, 4, 0, -10, -12, -8, 2, 10, 4, 28, 0, -8, 4, -6, 1, 19, -12, -2, -10, 2, 1, 8, 10, -4, 14, 0, -1, 4, 16, 10, -4, -12, 6, -12, -4, -12, -16, -16, -1, 10, 18, 2, -8, -18, 10, 24, 2, 16, 0, -24, 1, 1, 16, -6, -6, 4, -8, -8, 4, 10, -12, -16, 1, 34, 1, 2, 12, 32, -4, 1, 4, 0, 18, 8, -6, 2, -1, -1, -4, -6, 4, 0, -6, 6, 24, -16, 2, -3, -22, 5, -1, -20, -6, -28, 0, -6, 20, 10, -8, 14, -24, -12, 4, 6, 1, 16, -8, -16, 0, 4, 1, -8, -6, 4, -2, 34, -2, 0, 1, -20, 6, -16, -4, 18, 20, -4, -1, -30, -8, 8, 10, 2, -6, -40, 6, 22, -12, 10, -12, 4, 0, 8, -1, -12, 16, 28, 2, -30, 12, 4, 10, -6, 0, -6, 16, 4, 8, -32, 1, 34, -8, -12, -6, 0, -10, -20, -8, 1, -6, 24, 10, -12, -8, 14, 1, 2, -1, 24, 2, 16, -12, -2, -4, -14, -6, 6, 0, -14, -4, -24, -6, -16, 18, 12, -1, -8, 8, 18, 4, -16, -8, 4, 6, 10, -24, -4, 2, -10, 30, 0, 5, -4, 1, 8, -6, 16, 2, -32, -6, -36, 4, -8, -8, 0, 4, 32, -12, -12, -4, -24, 1, 20, 0, 1, -16, -14, 12, -10, 1, -4, 6, -24, 4, -16, 10, 18, -2, -26, -6, 4, -20, -1, 24, -48, -4, -23, 20, 4, -4, 6, -6, 32, -8, 24, 18, -4, 2, -46, 8, -22, 6, -12, -1, 12, 10, -6, 4, 24, 0, -8, -10, 20, -12, 22, -8, -4, 2, -24, 10, -12, 4, 4, 28, 1, 0, -22, -8, -20, 4, 0, -6, 0, 1, 22, 19, -6, -12, 4, -2, -40, -10, -2, 2, -28, 1, 32, 8, 6, 10, 18, -4, 12, 14, 20, 0, 8, -1, 2, 4, -8, 16, 10, 10, -28, -4, -6, -12, -4, 6, -30, -12, -12, -4, -6, -12, 28, -16, 0, -16, -6, -1, -19, 10, 16, 18, 60, 2, 16, -8, 12, -18, -32, 10, -1, 24, 0, 2, -30, 16, -28, 0, 8, -24, 8, 1, -16, 1, -8, 16, -14, -6, -40, -6, -10, 4, 0, -8, -38, -8, -6, 4, -8, 10, 0, -12, -8, -16, 24, 1, 18, 34, -1, 1, -38, 2, -2, 12, -12, 32, 36, -4, 20, 1, -6, 4, -10, 0, 20, 18, -4, 8, -24, -6, -36, 2, 18, -1, 50, -1, -40, -4, 8, -6, 10, 4, -6, 0, -8, -6, 0, 6, 8, 24, -24, -16, 16, 2, -12, -3, 30, -22, 6, 5, 28, -1, 1, -20, 24, -6, 2, -28, 2, 0, 32, -6, 40, 20, 4, 10, -8, -8, 28, 14, 4, -24, 16, -12, 16, 4, -4, 6, 32, 1, -26, 16, 0, -8, 26, -16, -6, 0, 12, 4, -4, 1, -50, -8, 6, -6, 18, 4, 8, -2, 10, 34, 24, -2, 0, 0, -6, 1, 36, -20, -12, 6, 24, -16, 2, -4, 6, 18, 20, 20, -30, -4, 24, -1, -6, -30, 40, -8, 0, 8, 18, 10, -30, 2, 20, -6, 8, -40, 32, 6, -16, 22, -1, -12, -2, 10, 32, -12, 4, 4, 20, 0, -38, 8, -10, -1, 6, -12, -24, 16, -8, 28, -4, 2, 7, -30, 10, 12, 2, 4, 5, 10, 28, -6, 0, 0, -22, -6, -8, 16, -18, 4, 28, 8, -6, -32, 56, 1, 36, 34, 19, -8, 32, -12, 8, -6, -2, 0, -12, -10, -6, -20, 2, -8, -18, 1, 12, -6, 8, 24, 0, 10, -16, -12, -4, -8, -16, 14, 48, 1, 0, 2, 48, -1, 60, 24, 4, 2, -44, 16, 12, -12, 10, -2, -40, -4, -16, -14, -12, -6, -20, 6, -16, 0, -12, -14, 0, -4, -10, -24, -12, -6, 34, -16, -4, 18, -16, 12, -48, -1, -22, -8, 10, 8, -54, 18, 0, 4, 2, -16, 12, -8, 10, 4, -18, 6, -14, 10, 0, -24, 24, -4, 10, 2, 33, -10, 16, 30, -12, 0, 16, 5, -24, -4, 4, 1, -12, 8, 1, -6, -30, 16, 24, 2, -6, -32, 4, -6, 12, -36, 4, 4, 0, -8, 40, -8, -8, 0, 40, 4, 2, 32, 10, -12], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [1], [1], [1], [2], [1], [1], [1], [1], [2], [-4], [1], [-1], [1], [2], [1], [6], [1], [-4], [2], [1], [-4], [0], [1], [-1], [-1], [1], [1], [-6], [2], [-8], [1], [-4], [6], [2], [1], [10], [-4], [-1], [2], [-6], [1], [4], [-4], [2], [0], [4], [1], [1], [-1], [6], [-1], [10], [1], [-8], [1], [-4], [-6], [4], [2], [-6], [-8], [1], [1], [-2], [-4], [-8], [6], [0], [2], [0], [1], [-10], [10], [-1], [-4], [-4], [-1], [-8], [2], [1], [-6], [4], [1], [12], [4], [-6], [-4], [-6], [2], [-1], [0], [-8], [4], [-8], [1], [-2], [1], [-4], [-1]], 'ap': [[1], [1], [2], [1], [-4], [-1], [6], [-4], [0], [-6], [-8], [10], [-6], [4], [4], [10], [4], [-6], [-8], [0], [-10], [-8], [4], [-6], [-2], [10], [-12], [16], [-6], [2], [-16], [-20], [10], [-12], [14], [16], [18], [16], [-12], [18], [24], [-22], [0], [-6], [6], [20], [12], [-8], [-12], [-6], [18], [-24], [30], [-4], [6], [24], [18], [8], [-10], [10], [28], [2], [-12], [-16], [10], [-18], [-8], [34], [8], [2], [-6], [-16], [-28], [14], [16], [4], [34], [18], [-30], [22], [28], [-30], [-32], [34], [-20], [24], [2], [-14], [-14], [-24], [12], [-4], [8], [-32], [32], [-24], [-14], [-26], [4], [-46], [12], [22], [-12], [-22], [-20], [22], [-28], [18], [8], [2], [-28], [-30], [-6], [28], [16], [-30], [-28], [8], [-14], [0], [-38], [18], [-38], [36], [20], [50], [-6], [16], [28], [2], [40], [-8], [16], [-26], [26], [-50], [18], [-12], [-30], [-30], [20], [-2], [32], [20], [-38], [-4], [-22], [-18], [28], [56], [-6], [-18], [12], [0], [12], [-40], [-16], [34], [-22], [-54], [12], [-14], [16], [4], [-30], [4], [40], [2]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 27021597797777954, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '546.2.a.g', 'level': 546, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [3, -1], [7, 1], [13, 1]], 1, 1], [[[2, -1], [3, 1], [7, -1], [13, -1]], 2, 1], [[[2, 1], [3, -1], [7, -1], [13, -1]], 1, 1], [[[2, -1], [3, -1], [7, 1], [13, -1]], 2, 1], [[[2, 1], [3, -1], [7, 1], [13, -1]], 1, 1], [[[2, 1], [3, 1], [7, -1], [13, 1]], 2, 1], [[[2, -1], [3, -1], [7, -1], [13, 1]], 2, 2], [[[2, 1], [3, 1], [7, 1], [13, -1]], 1, 1], [[[2, -1], [3, 1], [7, 1], [13, 1]], 1, 1]], 'ALdims': [0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0], 'Nk2': 2184, 'analytic_conductor': 4.359831950361909, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [546, 1, [365, 157, 379], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 105, 'dim': 13, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 33554978, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 2], 'label': '546.2.a', 'level': 546, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 120, 'mf_new_dim': 13, 'num_forms': 10, 'plus_dim': 1, 'prim_orbit_index': 1, 'relative_dim': 13, 'sturm_bound': 224, 'trace_bound': 5, 'trace_display': [1, 1, 6, 1], 'traces': [13, 1, 1, 13, 6, 1, 1, 1, 13, 6, 12, 1, 1, 1, 6, 13, 2, 1, 4, 6, -3, 4, 0, 1, 27, 1, 1, 1, 6, -2, 16, 1, -4, 18, -2, 13, -10, 4, 1, 6, 10, 1, 4, 12, 6, -16, -16, 1, 13, -1, 2, 1, 14, 1, 8, 1, -28, 6, 28, 6, -18, -32, 1, 13, -2, -4, -4, 2, 8, -10, -8, 1, -38, 6, -33, 4, 12, -3, 0, 6, 13, -14, -12, -3, -36, -20, -10, 4, -6, 6, -3, 0, -32, -24, -40, 1, -30, 1, 12, 27, -10, -14, -48, 1, 6, -18, -60, 1, -2, -88, -42, 1, -38, 12, -16, 6, 1, -36, -14, -2, 9, -2, 2, 16, -36, 1, -80, 1, -36, -2, -28, -4, -12, -44, 6, 18, 10, -8, -4, -2, 0, -40, -4, 13, -12, 26, 1, -10, 70, -1, -8, 4, 2, -4, -16, 1, 30, -32, 30, 6, 24, 1, 28, 10, -8, -12, 8, 1, 13, 12, 4, 4, 14, 14, 31, 12, -12, 50, 44, 6, -10, 1, -18, -16, 4, 16, -8, -16, -3, -56, 8, 1, -6, 18, 6, 13, -10, 4, 16, -1, -12, 22, -2, 2, -4, -24, 0, 1, 96, -2, 28, 14, 40, 28, -24, 1, 0, -2, -22, 8, -14, -2, 32, 1, 27, 2, -60, -28, 70, -32, -4, 6, 146, 1, 48, 28, -16, 10, 80, 6, 2, 5, 1, -18, 6, 2, 4, -32, 44, 12, 12, 1, 16, -16, 12, 13, -46, -20, 22, -2, 6, -28, 16, -4, 4, 4, 18, -4, 94, -2, -16, 2, -3, 10, 20, 8, 14, 12, 16, -10, 42, 24, 28, -8, -40, 12, -14, 1, 63, 84, -30, -38, 38, 1, -24, 6, -4, 30, 8, -33, -4, 8, 14, 4, 68, 18, -44, 12, -24, 32, 104, -3, 18, -2, -2, 0, -34, 38, 8, 6, 36, 16, 72, 13, -1, -44, -2, -14, -24, 8, 4, -12, -10, 0, -56, -3, -46, 1, 34, -36, 32, 4, 1, -20, 48, 14, 20, -10, 94, -33, 1, 4, 66, 4, 64, -6, 10, 52, 24, 6, 33, 54, 5, -3, 60, -42, -56, 0, 10, 4, 22, -32, -34, 40, 60, -24, -34, 1, 100, -40, -32, 8, -32, 1, -8, 50, 4, -30, 46, 6, -16, 1, 12, 30, -160, 12, -50, 72, -12, 27, -46, -4, -16, -10, 6, -2, -88, -14, 90, 76, 74, -48, 36, -16, -8, 1, -4, 48, 68, 6, -58, -44, -16, -18, -82, 24, -42, -60, -4, -40, -160, 1, -6, 0, -12, -2, -64, 26, -112, -88, 13, -6, 4, -42, -100, -48, -58, 1, 2, -1, -72, -38, -8, 84, 6, 12, -78, 70, 2, -16, -18, -4, 80, 6, 16, -22, -108, 1, 28, 0, -18, -36, 16, 0, -68, -14, 14, 16, -32, -2, 14, -46, 16, 9, -132, 1, -8, -2, -12, 6, -60, 2, -84, 20, 8, 16, -24, 44, 140, -36, -40, -68, -56, 1, -108, -16, 1, -80, 62, -36, 2, 1, -28, 82, -64, -36, -32, 38, 86, -2, -118, 6, 108, -28, -29, -96, -192, -4, -35, 52, 28, -12, 34, 18, -152, -44, -52, 62, 12, 6, -66, -64, -10, 18, -140, -11, -124, 10, -18, 4, -40, -8, 16, 22, -36, -4, -178, -32, -20, -2, 8, -30, 36, 0, -52, 60, 1, -40, 34, 24, -20, -4, -32, -30, -64, 13, -78, 83, 2, -12, -36, -38, -88, 26, -2, 54, -52, 1, 32, -72, 22, -10, 18, -4, -44, 70, -24, -8, 144, -1, -78, 12, -4, -8, -98, 22, -72, 4, -18, -52, -24, 2, 134, 52, 12, -4, -6, 32, 108, -16, 8, -136, -46, 1, -7, 26, -24, 30, 44, -10, 104, -32, 20, 22, 96, 30, 1, 40, -8, 6, -38, -4, 36, 24, -8, 96, -8, 1, 96, 31, -16, 28, 86, -74, -136, 10, -38, -16, 12, -8, 86, 28, -14, -12, -8, 6, -56, 8, -32, 24, 40, 1, 34, 82, -33, 13, -74, 50, -6, 12, 12, 0, 60, 4, 156, 1, -26, 4, -26, -88, 84, 14, 12, -36, 72, 14, -28, 126, 90, 31, -26, -3, 120, 12, 48, 26, 54, -12, 86, -48, 0, 50, -32, 10, -32, 44, -112, 8, 160, 6, -32, -35, 66, -10, 106, 5, 48, 1, 13, -68, 104, -18, 94, 48, 6, -16, -64, -14, 124, 4, -12, -2, -24, 16, -124, 38, -12, -8, 76, 12, -16, -16, 52, 22, 160, -3, -2, 140, 128, -56, 122, 0, 30, 8, -36, -56, -28, 1, 82, -56, -22, -6, 102, -20, 176, 18, -2, 126, -72, 6, -16, -80, -10, 13, 132, -44, -12, -10, -24, 48, -46, 4, 30, -50, 84, 16, 30, -12, 96, -1, -6, -86, 104, -12, 48, 16, 38, 22, 2, 6, -4, -2, -16, -72, -24, 2, 80, 122, -3, -4, 150, 10, 8, -24, -92, -12, 108, 0, 110, -56, 54, 1, 2, 44, 8, 96, -32, 36, 72, -2, 35, 38, 10, 28, 6, -24, 69, 14, -4, 46, 16, 40, -106, 14, -40, 28, 58, -4, 28, -24, 26, 16, 48, 1, -12, 18, 19, 0, -32, -36, 28, -2, -30, 48, -84, -22, 126, 24, -26, 8, -30, 1, 140, -14, 136, 12, -136, -2, -48, -84, 12, 32, 64, 22, 216, 1, -24, 34, 288, 27, -164, 56, 28, 2, 52, -8, -36, -60, -10, -10, -8, -28, -48, -6, 52, 70, -76, -14, -136, -32, 36, -130, 24, -4, -38, -96, -48, 6, 130, 0, 4, 146, -88, -12, -208, 1, 34, -28, 74, 48, -178, -58, 160, 28, 6, 8, -92, -16, -14, 44, 30, 10, -14, -18, -32, 80, 72, -72, 10, 6, 45, 6, -60, 2, 76, -16, -40, 5, 104, 140, 28, 1, -36, -136, 31, -18, -206, -36, 104, 6, -2, 28, -40, 2, -12, -196, 24, 4, -144, -88, 64, -32, 28, -40, 32, 44, -42, 36, -42, 12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 377400
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '546.2.a.g', 'source_level': 546, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '546.2.a.g', 'target_level': 546, 'twist_class_label': '546.2.a.g', 'twist_class_level': 546, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 377401
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '546.2.a.g', 'source_level': 546, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1638.2.a.d', 'target_level': 1638, 'twist_class_label': '546.2.a.g', 'twist_class_level': 546, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 377402
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '546.2.a.g', 'source_level': 546, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '3822.2.a.t', 'target_level': 3822, 'twist_class_label': '546.2.a.g', 'twist_class_level': 546, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 377403
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '546.2.a.g', 'source_level': 546, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '4368.2.a.k', 'target_level': 4368, 'twist_class_label': '546.2.a.g', 'twist_class_level': 546, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 377404
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '546.2.a.g', 'source_level': 546, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '7098.2.a.j', 'target_level': 7098, 'twist_class_label': '546.2.a.g', 'twist_class_level': 546, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1026250
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 2}
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id: 1026251
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 3}
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id: 1026252
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 5}
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id: 1026253
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 7}
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id: 1026254
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 11}
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id: 1026255
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 13}
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id: 1026256
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 17}
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id: 1026257
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 19}
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id: 1026258
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 23}
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id: 1026259
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 29}
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id: 1026260
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 31}
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id: 1026261
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 37}
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id: 1026262
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 41}
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id: 1026263
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 43}
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id: 1026264
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 47}
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id: 1026265
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 53}
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id: 1026266
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 59}
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id: 1026267
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 61}
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id: 1026268
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 67}
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id: 1026269
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 71}
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id: 1026270
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 73}
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id: 1026271
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 79}
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id: 1026272
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 83}
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id: 1026273
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 89}
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id: 1026274
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797777954, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '546.2.a.g', 'level': 546, 'portrait': 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2MJix2fzkAwjF2W+oINY5qFFc2J84qa67FhErbMhKyfGrJuKmDDVMCW9YZtGxSXbXWpqyZHT7R54BmPxw7EPHU8IlFd3nDrCm+5xVBXUxw4Ps7RMw6nZxPOzUecmDMcnDfccOUcv/TOJbZOj1lwL9WZX3aZX7H6vNNL6AeSvUcXeO7kymX7D59/yYnTsztOnJn90ou+5W3hfV/++DcaEn+j2z9qBp9b6NANE1wl3nXf44dv+eXf+aR8282Hbvl3bzvurHSnWVieYH65ydxSjbklh/llwcJywuJKxMJKwtllOLIgWDe9zC9/7wIv3N3g5PlJzsw2OTPvcH7BcG4+5tRcwmw3ZnxyyIuv6nHTHvBkHV/5nF+scXbe4dyioB9AHGtqnqZZS5gYi9HA8XMxnR5sX+/SrAcYI0B49AaabRsCFpYdMFaKLPcgiMFgWFwJ2bzOpTtQCGUQOqBdc9m2cchyX3D8jEOiHabaklZN4LsQx4J+IDm3KDm7YDi/FOP7Q3BjXnR5j1uuEMy06ywstTl53ufMPJyfjzm/GHN6EQ4vGF5w+Tz/6XuX2Dje5sS5Sc4v1Jlb9phflswvJSx2IhZWYuZX4FxHcKILwfISv/3vo/gd39L8emP9v9Be4/KvC5n8XJL4ON74NxoqF7z9ow0y3/MHn2Bmqs2pM/O/+r6P3v1v//Lzj/qHzyzxJ52Y17zA4bqLBgRhjSByCCNJFAtinepswACIBCkNR+Yn+E9/KvjVHzzPdTtDWvVJmvUW7YZPq+Ey3lacX1CcW3L4yv01Pn9fzCVb++y5KGZxacBlWwPe8VpNFCsEhs8+UGN2pUY9CTh2VtHrtbj64oTZTsze/S67t0oOnoEXXQorXQi1g++ETDfhwOk6jXqEr2LGWoLlLtx4WZfDp3x2b9ccPRPw7GH7+9ytQw6fN4y1AhY7IZ/7SgMjFEmS8LJr+9x8neHcsst1u4bs2uQSR236gzp7j9Q4Ny+YW0qYXYo5v6g5sSg43wu5dvcCv/jdPda1Jzh+dpzziylzL0sWVxJWehGdXkKnb+gMJYuBJBoMufmqFV565aJD3H7pyqkP4LRffnNz+g3ab4z/wqFnPs7FV37HNxoya97+UTL4+/7o41xx8Xr19ceP/+KRE+d/4YGnTqjzyxGdWNENI67deZ7f+rF5rru4zvmFCRaWmyys1Fhc8VhYcVjqwtJKwlInZrFrmejkksCpD7n5ikW+86UhO9c1We61mV2sM7fopUuzlQhLXU1noOkEhv4wZqodsW29BgS+azg16yKkz/Z1ip2bDJvW9Tm/FPDkwRbXX2Jo1Jd45tAkrWZIGLpMTWgGQ7hs25CP3jnOpVtjgsAwPSaJkgGtms+zx4bU3SbX7o556kjI+QWPzVM+OzfCtg0hSkWcmgfPNQhh2L4+ZqIl6Q58en2XTt9lsaNYXIaFFc3iSsL8SsK5FVgYJmzb3OM7XzbPzXscam6bs/Nt5pdqzC87LHYESyua5W7EYjdhqWtY6MLZrmJ2JeKmPef4bz82z55tNTq9BoOhxzAaA2934tU3/Sru7v9MfDK5/Pq3faOhs+r2jwrg+/fvp16v1U+fPrXtrvueevv+Q2d/Zf+R0yRa0Y8EnUAyPxQs9kNesOs8v/lji1xzUZ3ZRQvypa7P4orHYsdhqQPLXc1yN2a5G7PYMZxfEZzpGRA93nLrCq9/oeaijTXCsMHSSo3lnsdKV7HUE3T7gmFgCGNDkoCSBt+Fum8YbxvWTUY47pDDZ0OePuSj4yavvTHEcZd5dO8YOzbCFx6KufVKn9mVATVHEScRkxMQRy6OG7Ow0ODF13X4wv0tdm6ERw4GuDR4zQs1sRjw9OGEo6dqONJj/YTDRFNQ9wWeJ1ACYg1hZBiG0O0blnuabl+z3Ncs9AyDJGH7lj6vv2mFt9wSgm6xsDzG7GKdhRXXHqcVWO4mrPRilrsJSz3NUk9wpquY68TcsPs8v/5js1y1o8biSpvOoE5/4NEfugyG4De3oLzN/6E2fuVfbt686UQYDAcXX3LpNxpK+e0fDcBnz+5nZv2Md2Df4R94Zu/B9951z+Pi3FxXhhEMQkM/gF4g6AwFc0PJXC/khZfM8u4fXuT6i33ml8eZX26x1PFZ7nosdR2Wu4LlrqHTS1juxqz0NEs9w2xXcHZFMzHe51te0OVFe2K2r1e06y6dbg3flYAijCVaC7SB/hAQmonWkIOnDdqE3P5Ik6Bf5+LNHjdf1SfSy9z92DjXXuJy8FyPlaU2N13V5yuP+qyfNOw9bvhXb+6w95jP+knJHY8pbr5MsdjvcOTkJNfuDrn76QFx0OBFl3vs2jpkEPf48qMKEsHhUw7thoMjoD+QaCNItCGKAalxPM1Kz9BsRWzdGHDLZX2+5fqYqWaN84tjLCzXWerYY7PUEaz0YKUbs9KLWeklrPQNiz3J2a5gvhtz055ZfvWH57jmIp+FlTE6vTq9gU9v6NIfOvSHDoOhoBfU9fotV5otW3f9+LbtF39oaXE+vObqfxwg/0cB8CSJZBz333jk2c9cvLRifv3r9z/uzi4JOj1Nb5jQH2r6gaE/NPQCwcpQMD+UnFuJedGeWX7th+e57mKX5c4Yc8stVro1lrseyz2Hla5ipQ/dnqHTj+n0EnoDzUrfMNcTzPUgSgKuvmTAhsmEXt/wupsCdmzQxInEkYYwgruerHFitsbGiZhnDtdAN9izRXHdpRq/1ufRg33m5ptcsaNJe3yJ+59yueGSGgv9ZZaW2mzYYHhor+K7X9Hj4b0OW9a5zPdWWFqc5LrL+tz/TMJkfZwrLu4xu7LCQ8+NU3eavOBSw+5tQ5A9njwqWDcZcX4u4u4nXYaRQkpItGHHxpBvuSmk21NsmtBcdwmEYYPFlQaLKz7LPZdOX7HSk3R60Olbp6TbT+j0Nct9WBwITq8IVoYBN++e47/88BIv2O0xuzDOSgrubt+CuzdU9AaS7kCysJxwfj7gyqtfEIXa/ekf+t43HWq36p/zPVd/o7H1DQ8yg+GAMBh+7/yZh35rcXb/5NnzK7SbLlGiQGikFCiZoKS2d2VQEhypUcLh4YPr+dk/cnnzLYu84xWL7NwUcm6hje/VqfseDd+lWXfo1iWtgctY06E/TOgNEtYHmkFg6A59FudqnDppCGPN6XMxvm8AgacMjhT0BwqBS9x3uGaHYNcmw7bNfYKkyxcfVuw7NMGrr/e57rIlPvxFgyca7Njc56n7FZvHFdPtPjVVJ4xcZrvQrDlsWS94Yl/IdbvrvPTaef74tgGe2+JVNxpcv89XHwr5woNNnjta56JNDXZsTJiZCNk5HXHljgSlNI6yIXXD95kZ9wkjl27f45mDLr2hQ3+g6A0lvQH0hoZe33737iChNzB0BoblAcz1FeeWNM32Cj/xujn+2c0BV+9scHaubcHd9+gOXXqD7HcKugNJt2/oDTRhDF+562G3OTb1W7ffuXHx9a+68d/2uv0/brYa/+cCXCcdIPmh+VN3vuvska9M9rs9lKxT8wyNmiHREoFASoGUcQnYBiUNrjT4SvLUoWkeP9jg4JlZ3nxLj1suHzLearO40qDZqdEeePT6Dt30ZA+GDv3AYRgYhqEmjAxRZIgTew9jD6NBKoHrCGqeYLwlmGjBhmnNlvV9pidW+NKjcM/jLlKP8errXa7Z0+W+5yLCYZubrxGsDAbMLjR50W7N9HifuuMzjBVznQilBdfsdmi0Ah7bX+Ml141x09VdHtuvwIxx/eUeP/iGRb7yRMgdDzfZe6LGthnFhsk6E60GYy2o++A69oLXBvYeFSSJIIoFYQxBhP2OQcIg0AwDna6Gmt4AOgHM9SSzXQj0gFdeu8gbb1nhn79KE8dtzs036fRr9AYe3YFjwT2U9IaS/kDkF0x/mBDG9tgdO3GOP/zTL00u9fV/e8ebX+IsrvT/aHLsGwfybxjAdTSLIPnBwcIX39Wf+9I6JSJ8r0GUaGpeQqMm0FqCEQihkALL5ErkzOUqg6s0dUcw36/zsTu38NXHO9x65TLvfOUyV+7sMTXeYGG5QXfg0x+4KbCVvYeCILMYY7vU29otG1Q6DtQ8aNQ1k62Izev6xPQ4eDriL+6uceRkk3G/zg2XO7zoqg4PHVjh9gfa3HhJjW0b+3z0ToESPu1WxHIvQBtQAmbafTpdDx3XeeOts3zsCw12na/x+hv7hNECdz89RZTUeOHl63j9DR0u2brCVx/r89TJBk8e9dgyKZlsCxq+wHPtRSgFCGHQBrQ2RCngwsgQRPZCHoYwCKE7FCwFgsUuCGfItZcu885vWebWyxOm2jWWO02Wu3V6A4/ewK4EGbj7Q0E/EPSHhsHAgnsYaILQEGtAupw41+G3PvzVdYuBedePvPVmc+rswge2bJz6pw/w80sG5SDufd9W89QT93zfluljv+5E90+jh/heiyiO8WNJ7EtirVOwSRACKRVSWbniSIEjNa6j8RyD5xrqrmBpqFhYnuAvv9bkwWd63Hz1Mu981TLX7lphKqkTxz79YY3ewGUQOISRIoolcSJJtEAbgcAghcH3NI1ajO+FeG7A6YWA2x6RHDrlcfTUBEr77NrocdlOxfV7Oih/jqcPt9g83uCKi2DDzBKLnTZXbpbE2vClh32CvmS8GfOaFw753N0RJ861uPRil7PLQ5494rJ1/QRX75zjvqe63P+sIAg99uycZM9Wnz1buhw+u8ih0/DwvgYHjzRpOALfkTR9Q80FKW1QZYy9WOMEwhjCROQBeieCUMdoM+QFl3R457d0uPXKhI2THsOgzcJKnW7fpz/wrMQZKvpDxWAo6A8lg8D2jQ6ChMHQAnwQGoaRIYhsEivG4ez5FX7nT+5Yd/b0iV+/7qLJ+I8/8tkPn+6e5ud+7Ef/6QIcMwRTu/Wq77jtA8NzfzgZd45OI2OUquE6Cb4bk+RgA4z9eEJKlBQoqXCUwHESHEfgugLP0XiuoeYaGl7CeE3QDVyWOhN88p42dz45ZP1En7e/bIU9W4cMBz2u2GnYukERRC5Joki0xGTglhrXSTh+3nD0nGB5oPnMfQ1Oz09gQpeJmmLTlMP2DQ4XbYYrdnXQcp73f67J4uIYN+5xuGLXCl99UiBil3UTkmYjph95SCPBSJTjsTIUnF8UXG4avOz6Ll9/rM6maY8br5jkX7xhng99ocvD+5v0hi4Lyy12bqpz6cY+L9zd5a0v6XJmcZHP3Oez0Pc5ftbl9GkPVwmktLJOG0OiIdKGJNZMTEVcdXmfIIjYszXgbS8LWDemmGz5RFGNs3M1a/8FdpUbDJW9h5a1B4FgGGBXgiBhEFjm7geGfmBXh2EkGMaCIAGtHE7N9/iDTzw6/S03bnjPrTesjzaOHf6zf/fuD/AbP/OD//QA/vP//S9ZP1kTn//yH+30eHb3utpjjM04BKGPoxM8NyJJJNpY+4tUKgihkNLk4HYdmT5aIHqOwHM1NddQjwyN0DBWS5ioC/qhpBs2OXqqybv/bBJ0jIhjrr+qz84NIXEM2miMsUkcKQRSCRzXY/8Jj72HajRrDi1PMt0QzExJ1k06bJpRbN+YcOn2ZRKxwG9/qs3xE+PcuNtlz46EQdzlgad9xusuU2OG8VZIo26lkNaSlaFisWdYWElY6dV58RXLPLK3z74TivF2jRdePs4Pv3GB3/00PHaoSW9gWO46nF9ss2G6wbqJIdunhvy77+jTbqzw1FHYf1LiugalDEJowNj/NxDHsGNDws1XxiSRSxT7GNNgGLqcm/cYBHZFG4Yql2+DUDAMBMPQsnYQWi0fhDqVO5phYBiEmmEAg1AwiOy9GwuCxAAJg37A/v2PjV+8aecfbp7cHf+3n37Nx3/qLR8y2/b8wD8dgD/+wB9x7U0DtWXiA295z8fOv/+BJ07ysitb/NIPdrh8h0YMs5NhXUuTgxukMEjl4Ehw09poRwk8V+G5kiDU+GFCEBnqkSaINGFoaMcQRJoghjAWDCNJkPhESY19h5o8uQ8SY7DQttrYleApW/PR8uGKjdCuw1hTMtFSTI07rJuEbRsCNs4sE5lFfvtTYxw+MsZ1Fyku2iLZtWWJrz0bc35hjOt3Sibampo3wJc+RgniRCKMIU5Clno1zi+4XLenzjW7u9z3WI31E4JGrcV1uzU/8ZYF3vNpzbOnWyz3NMtdxdySw/R4k4l2nYn2GO1GxEwzYvt1Ib4b4zoxSiVIYQ+iwV5UUaSYnXOIYkUUK8JIEUTpYygJIkkQSoahJAiFDVBDQRAagtAe1yCwx9mC3CaYBlEK7lDQDQXLkaAbg44CCPpce1GHX/yheV5wyWxDS+fDX73jC/p3P7vnU7/zgT9PfuIH3/HND/CfeNef854vtdSm+869bbh09I+/9tD5Wj+e4lN3O8Ra8F9+dIXLt/aRKWWL9FFKk9+VMjhS4TgK15F4rrAnwRUEniKMLNCjyBDGiXVF4tI9gTgxJIkm0VgJpMnBLQSpQwOuC74jqPmChi9pNhRjDcnEmGDdZMz2DX1azWU+9fWQu5+eZHm+zVXbFNs3ulyydUgilvnSww2arsPMhKLVGPL0YXjuiMOVWw39QHH1JRFX7TKcO5swt+QxGDZ47Q1d7n1qwMHTimZd4nttrrxI85+/b4G7nh3wubumWegYtq9LWFpxGG8rxpourYZLs26o+Rrf0/hOgqOs1JJpa6Ux2ISVFsRaEieCOBZEsSSMBVEkCSLrvISRIIwMYQhBlBDmpKEtuCNjQR/BMDQFa0cW3J3IEAcBMu5xzc4V/tOPLvGmW2K6vRbL3WdrwUB85Fd/oP/9ey5pf+J7XvN7ycS2/+ebG+D97rIMo8XvuuPphfc98uyJWkQTHAF+g8/eJwgDxdte3uXtr+wz1tL0+hohDUpZ39uRCa7j2oDS1QxdhRdJQlcSeIIwEvbkRIooJi28MsRxYfvFiSZJrLuQmNQpyVcJgZSgpMBxBJ4j8D1JzZc064J2wzDe0qyfDJiZ6BKbZT5+r+RDX5hiXa3GVdsE2za67Nik2b5xiU89YFhcrLFng2KiDa1GxPljktklH28nBJFgZkwyPg4HjxqWOppz8zUu2VHjFdd3ue2eGlMt8D0PJce5cpfgR14/iytn+ex9Ezx3usb6TsS68ZixpqJVVzTqkrrv4Hvgu+A4xoJcgBQlkGMv7ERDkgjihBToECWGMIYoSiwpRJowfQwiTRRhwR2n4I4EwxTcnUiwEgl6kUYPh4zVunzn6xb5jld0ec31hl6/ThQrWo2E67Y/VPObvT+Mh5uddsv5cyzPfHMC/N2/99fESfJ9f/XVJ37zqX2zbeGM48o0AHLrIBVfesjhgWdqnF1e4l+9pc94O8YPYjp9m9xxlIsbaVzHwXMUnusQRJIwZW7LOMIyUcpKcQxRAklinQStbcCltcl6OFNwW4ArJVJdbwFS86FR07TqMeOtmJnxAdMTy3x9X8hHbq+z/+g4O8Zcdm2ALRs8tqyHS7d16McdHtrbpq5cZiYU4y0YbwVMjMV4noMQ9uIaBB6LnYjlvmGlFzO75LFtQ4ub9sxy+8N99p9u0/AjXOUhxBi7Niu+51XzvODSWT5ye4uHnhlnoeewrh0z3ohp1CT1msJ3Bb4rcV2BoyRKkdqHqfTD9rBqTQ70ONHp6mZJIYo1cWLBHUcQxqa4py5JEFtg9yNBN5Z0YkMwiDFRn6lmlx9/6yL/7rt7NsHWrRPGLkni2EBe+IS9I+2uML8dOy/2Zo/9+YfW7fiHkyr/YABfXlpBKflDv/G+T71r7uzc1FTLlrEmxhBrQaAVgayRtByWQ5ff/JjH3kPLfNtLerz02h4bpkI63TqDwMcLXTzXw3Md/CixbB0pglgSRZIwtstuFKeedkJq/ZEyt0QbCnDbJGXK3OAomzDxXEPN09RrMa1azEQ7YON0h/Mrfd77GZcvPTLJ4lKTi2cE29YJNq/z2LJOsHPTEMdb5mN3Oxw52WT3eslESzLWTJAy4PScwXckUtg4I4wctq/r8DAJnb5iqWM4v1hn95Yab33ZCp/4qsex8z6uEyGEizZNolhy/c4ltr+jw5ce6/PRL03y6LEmmycE082EZi2h5gl8V+C5EtcROAobOEuR12QY7EWmDZZoEgv4HOSJlXR2FYQwY/ZYFOCOoRtLehEMooSkF7BlpsNLr1vmTS/t8boXJLiizvKyTxy7xIlDnCi0Fhgj0abOYmd5yhuPfn3zJd+uBv3OH9Ub7W8egJ+fXwHl/otP3nb3ux597Jl1UzVDmBjilEljIwg1DBPBQLoMpWIlcvnY13zueqrHdXu6vONVfb71xg7TYwH9YY1BGOG7LlHsEEQOUewQRTZgihJJHEuiRBDHkiQRJFoUWluLokbcZMErNu2fJos8V+N7CXU/plUPmB7vMYgGfPVpw198bYyHnhlnwnO5crNh46Rk/ZTHphnJlvUhF21e4qljAz5z7wxjymFmTNBuCtqNiJV+whceqNHyDEJYYA0ChzfeHPD5B21NzEpPM7vksGVdizff0uOhfV32HvRo+jFKCgty3WAYWq3/Pa9YYffGWT52V4f7nxvnxFKdDW3BWM3Q8DQ1R+O54CiBkvZCtkwOWfmRTqWa1sUKF6dAtwQBUSKIkjQrmggGsb13EwhCTRyGNOs93vyaJd7xqg7XXZqwYUIxDJp0+l4KbkUcW4Db82HzDkGoML2967z6Xe/avPOlOgqWPuj6E/+4AX56dhkR9vAU3/vpz9/zG3/68a9MLS8vU3MlrioOovVnoSahrgyDRDBQHkPX5VTH58yDDR58us8nruzytlf2ec3Ny0yOeYShRxB5hJEFur0r4lgRJ2nCJikAbi1HMLqoKRPCpEGlzYY6jsZzE3wvou6HtOoDEgZ85THJn905zjNHxxCRz44Jw8Zxw/S4YmbSY8O0ZNNMxLYNHU7Odfn9zzWJgzpbtgjGWw7tJrQbEcIN6QyajLcMQgiMgSiWTPqKWMd0I49uP2Gpozg9V+fyi1r86Lct8+t/7nN8romjovTCcIjjGsNQsmHK5/qLO1x1UY9nj5/mL75W5/ZHxzmzUqfpK1oeNF2D5xhcBY606XwhqtV1GjDaXnSJFiQG4kTY85MIwiQFdiIYJjCIDXEcoaOQqdqA175ymbe/ssOtV8aM1x2iuMFSxyOKvPS8WGBHiUrzG+XzI9F6kTNHvrxOwG9Mbbo1np099yfTEy7S/fvLev69ArzTHTDWar7pk196+Hf/4hO3twfdFeq+DeWzxINOQe5pq5N9DbUEGgn0E8FA+QSxy+ywxmcfanL3s31eeEeXn/z2Hpdt67JuXNFuOoShRxi7xBnIs4OYHkhtJCa1Hqu2oy3YcpTGcWJ8L8ZVIZ1BxFwn4n9+qsbR2Qke2zuO0R5TdcG6acP0mGCqrZgad1k/JdkwFbN5ps/U+BJfelzz6HPjXLVFMNGStBqSdkPTrIcIN8D3HRxl/74xkCSSQeAwGEbEWtAdaLo9w2LH5dxCmxdd2uOmy5f52B016osKR0bpMXSIE48wsj2e0+M1XrCrxwsu7vHwS89wfE7ykdvHmV1ucGrBx1OSpivwMhkmbeCZE3kmVUjPixFEGishExjGEGoDSQxxhFQBmyYGXLWjx0++tcsNlyW06w5x3GSl5xGmwI5y5pb2MSMfbcuPk8Q+giFc7pEc/PKU7/G7U5tetBRH/c/8fWLy7w3gTz+7n0t3blDvfs9HL370if3tfmeZVsNJT2pWI5EGNto2EXgqBXti8BNBLTGEWjBwJAO3xjDxWAjr3P5om68/N6TpB3z/61bYOhWzfdOAF13RxRGKVsMBkbGEwmibLMp8dXs+jXVnhPVyDTHImGePSh7Z53DbQy2ePdEijBu0HMVM3TDZNEw0jPXB2w6TYw5T44INkzGbZgZsnFni7mcC3n/bOjaOO8y0od1UtJuCViOm7gd8/YBiGDq4TQsqYwRhLKk5imt3D3jw6XFb+DRIWO64zC/7nJ+f4Edff55T8ws8+MQMrgREhAbi2CGMXIJQ0hs4TLRqjLeb3LS7z0uv6vOOl8+x76Tm8w/VeGhfnQNHmsTCIQgU/UihhEQIMRJ4pjkBo4m1wWiNKxLGvJAaETdd12PnxiFbpiPe+ZqAuidp1R3CsE6nZ1fUOFZEGWOnhBOn0jFj7jhbWdOyCEs8DtFSj0P77m3Pz89dvOe6d6pzZw4lGzZd/I8H4M899xxbNs94Dzz48A+M1eLfJFxg/YRDNhQpS73rnMFNBehuIoi1wUu1X10bgkQwTARDx2WYuPR1nW434Tc+NoGJI9bPDLl825CpsZi3vWLAtnUhUSRSvW2LtHLDJNWfUmqEFHzyrjpPHW4iHIfjZxqcPt+gVleM+YLxpqFd07Rr0KoLxhqKdksx0XKYGofp8Zj1U0M2r+uQmGU+eW+bQa/JJVsM7Yai1ZC06ppWLcZ1Q770YI2gL3HXgUzBFMWSZl3x2hcOuOdxTS+Q9AYJnb7Dctfh3EKDy3a2eNutHR57tsHxxRZKaiBK9bItJw4im5jpDR1Weh6teoNmPeCyLUNuvHTIydkVjp1dxnETnjzi8ImvNRBKWXCPzh80GtAYY4jDhO3rY97+igHT7YRLtxvWT0ESuwRhizhxWeo4VUCnCaRE2/qeJGXtOBF5+UUZ4Fl8lKbZWOr22YL8Tf3so/3xqZ0fOnBgX7h7955/HAA/d/YUK8vzu0+cOPnep596VE62FXFi8gAmTivcdGKLgGwAaMGcKJMXBsWp6xFpqCWGhhZECYRaECaSQEtC7RJpmOu1+dpTGkPCXz9kRzZgdHrPsnipRSZsRaIQEqkUceQgtYPrSFo+7JwxNF1Nw9c0fGj4gmZd0qor2g2HsZZkog1TYzEzEwGbZrokLPE//6rGfU+vY9cUTDRS9m5IWvWYRj2k2RhQrzfwlUTJVINjL/IochkOBIMgoRsoekNNd6Bty1zT49T5MV58ecBPfMd5fusTDieWfYTQGBOhE0MUu4SRZBi49AaK1sChWfNo1Gs0/AY1P6JVD7n+khDPjbjhkph3vrKPo+I0CaQRwlRFeSrptJYIIfFdBXgMA4eFJcfW7aRS0DK0qkiQOFapvy6JUykSJ6IEcioGQJLqfa0hiuH42UflpZer986s798bhcEzfx/Y/N8G+MNf/yvGx0T9yNEDbzl9/LCYnvAIQggjnSZb0uxhYkrgtsxtH4vXNgA1KdAtq8c50wv73GDnjWhJbCSJdoi0T5LaXuVbnqUU4AiRpvuhVjfUHENNJfgu+A7UPEPdF9Q9SaMuadQcC/CmYLylmWzHTI0HrJvssWndAu+/TfPR29ezdVwx3dK0m4pWQ9FsQKOe0KpHnF3QHD7rU/Ns+S1klX6CYeiwc4Nmw/SQztBjMDQpi0uWuw6teo1WY5x3vnKWI2fP8Yef2YwjHQyaRCfE2lhHKVQMQsUgkPRrksbQoe671P2Ela6NMTw3wXUSXDfBkbZRQkqbzhfp3ZauCECkIBesaJk7H4mW6CxQ1AVDJ7oI7jMgZ0xtX4sU7CVQJ6TvpW5NbEsDegPNffc/LrZtX3nL1q07Dn/oTz4++IHv/d/r1v/fBvjWjaHX6574WROe+dm6O5DjLYf+EJuMiXRq22nrsZaBPQJurQuAFz8DiSFP0mRp9kSnmt6ANiIPlMqaG0gzeTawcqTGkaR15OAqgesY6xs7gpovqXmSuq+o1xStuqTVMIw1E8ZbMZPtgOmJPtvWL/DQgYCP3bWJiZrP+pam3RAW3HVJs6Zp1mJajYCH9sOT+xpcPGNS3VukzQeB4oZLDZdsG/DwM+P0A8NgmNAbOCnIXRq1OvXaON/5kkWePDDLg3s3gFFonVgiiA1xZPJ6kkHg0Bga6jVFzdP4novvJfiOxnESXEfjKJ1midNSCGFAmLxEwgI8C85FenxT3ZwCPtEiBbtIwV7IjwzE8Sowr34eJbYQLIgMYaQZDDXL3a7sR2d+sRM1vVqj9atA+A0D+GAwkEnc/+Xl+ff92zg46TXqDRKtEUKm2UGVdspI4kTjpMmEHOAlkGtdyJci80j+qHUWCNmfzZIVJi2Yym5liGep6iyho2SasVTgOrZRwEuzf76nqPmKui9o1AWtuqHdSBhrxoy3AqbGBmyaWeLB/QN++Y/Xc+LUOBdNa8Yb0K4rmnVFswbNWkK9FuG5Q1aGtgrSVQYpi09m2U0SxR7tekQ/1vTTOuv+MKHbl6zUFY2uT81vsWNDxH/+gRV+6cOSB/aux6DQRpMkmjiJCWNNGCmGoWLgS+qBouZJfM/gewrf0biu9fsdlZZBqLTOJ5UpQphVDbpZIKiNwJSCwzxQTKWmBTm5to7LUiQFtU4f44ScuePEdlKFkSYINYMgIYjg+IHTXle3f/q//YfXuf/q+/v/oV5v/J3T+X9ngAfDDsaEv3r0wN0/NX/6bE1JhecYap5Nhwsh0gImkSZghM2WaUOiNTp7nqfSTXqATN4trlOPNtPyxQEnZZmi8rAUT6Yp+EKeZLUmSlm7zElb0VxH4nsSz1XUfDuSoe4bmjVNq5HQbkSMtUIm2wM2zSzz4L4+v/ShafafmGT7pHVYWnVJsyEte9cNjVpCoxYRJSF/ekcLqRSuNChR2ITapDo1cfmeVy/x5UdDuqGfNlYn9AaKbk+x4jvUPB/fbXPp1phf+cEF/uOHBPc/sx5tJIm2afUotoVmQagJarbc1fcFNVfgezaz6Tkmz9g6SiPT3lYpjG2UyABepDxTkKdOiy7Abs9LAXCdsnLupyfZSlt6nWQOmpWrWcdRFGmi2BCkFaFRbHAcxcnjx2qf/cJd/+at3/YqsbTU+bmJib9bpvPvDPCo9yzGmJuGi/fVoyjGGAdH2XS3NhqETNvMBCqGWGWaLNXhicmBnSRFq5UtiMqel2on0rmDFXCv8bkygGc1GFkmTylhO4EckdeVu6609RueoObbmScNP6FZt+BuN0PG2wNmxld4aF+fX/7gJM8en2bLhGCqWZImNYdmzdav1GsxdT/EdQNOL0zgKoGSOrXliiAzSYOyjRM2edKJagwCwzDQDIYJ3aGk3lfUPBfPreE6Y+zZEvMr/2KOn/8APPjculT/aqLEEMVJyuSawNfUQsnQU7kEc11wHSvRbJ2KwZFp1aYAkT6WMZ7h3OSypVSZWHmkxObFRRAnxQqcyc5ySUAc67zi0/bFauLEnq8wCPjUFx+pb9y64yYp/+47TvydAP7M41/i0MlmoxV/wEOv4DgusbbM4Do2g2gPi0AKg5IiT/8WUbTJg88M2NpkfZGFA1MFtXlecEORks6qBG1XvkjT1raevJAnUHPB9zT1mqHuW/3cqEe0GyHjzQHTEys8enDIf/yjCZ4+PsOmccVMUzNWF7RqkkZN0agL6jV7cdhUf8iDewW9oUdNkV5kVoNnTQiJFkSxQ7OmeNEVXR56tk0/KtrB+gNF11f4nsJzvVQ/j3PZVs2v/fAsP/MHcP/edURaEmmdNksXPZiBJ/E9bdk7rU1x04vb3kllSiHjZJrlXQvkaf9EKlfIL9RRoOeS0mRVi8UKnZFZklZ4xnmBVwrwrC9WgzaSU+eW+c33f8b7H/+/NzT+8hOf77/9bd/6Dw/w06dO0hrfMn7gqb/6/ZPz/kuEtleXSuu2Xdf2UlomtYU+KgGVgJOU7MF06dKOyNm6+HIm19fGFEyeJSXybhVKJ0PYgiIh07+b/e0c4JbFXccymediO4G8tMDKT6in8qJVDxhrDZhodXjiUMB//KMJnjy2jg3jDjMNzVgdmjVBs65o1BWNnL0Tan5MqzHk7ic9lldqTEwUafIMLNmSHiWKdVOKV17T4+5HtO2iCXUJ5JKaK6m5Dq7j4Th1pNRcttXwrh+e5Wf+wHD//nVE2iFKKwBt2atlcj+SeXWh50gcJy3CkgLlZMeG/PNlF2EmVURWlUaRECqAXqT5i+KtIl7KV2M9slLrgsnj9PNmj1FJyggBnkyYdIcvefCpIx/4oR/49n954tix5W07dvzDAjwJTtKdP/cz/eXD3xUM5qn7Kq3tsHUdxgCuQAi7LCshiFIGzQIMRxVNB5mGy3VdepAyttZrMXfxP3lGLtfeMqugK3R3VjHoKGx9hmNwXdtYXPNsF3+9FtOoRTRrAa3GkMmxFR47EPCzfzDNE0fWs27cZV0jYaxhUnCn7F2T1H3L/jU/puGHxDqgG/oIJXEzBs81eKZV0wKxyKXpDW25QFhjIgP5MKHvWQb3PYnrOLhOtgGt4codhl//l+f59+/T3L9vPZF2CBJBmOiUxQW1SOO7Bi/tXXWcouVPpSuaPT5pV372WCrMKu9gUj7+1VioJCfz16aIo0oMrksuWhyngWZSNKXEiXXOjAGpJGfPLfDkc0e/6657nzwchNHP/4My+J2PnOGZhY3bd8r/ftVEYx8+GoN1QoRQGT+lUblEivQgph/eUeVslhkBNyVwFxH8aD1JYXWbgrVLJyVfbtMOnXxQkJOOmUiLkLLqwZqbpLo5ol4LmGj3GWt2eXBvzM+9f5rHj6xnZsxhpp4wVjO0UnDXa9ZOzMBd9xNqXky7GbL3mOGux5p4UuIqnQZxBVKy5TtKFLF2eNn1ERdf1OPwiTozDdJ2MNsD2R+mLOwoHMe1K6W03vUV2+HXfmSen/8Dzb3PzjCM6gSJJIwNjbSG23exIHey1UunEkUiVZKvcEqKEsBFCeSlZbIc0FeIpyQjtckrFTP2zkFusnxIUaufJfmi9HWkrXUY58VfDnc/cRbTePCq9/zS92835vBxIXb9/QM8GpzGqY3vePype/7HoHv6TVONcygxRhi6RFIhkrTeQ0gEGdAkMtZ23EMqT5zUGtR565gpMXcB6uyAZUviSA6HbOlcBW5hkCqzBS0YHJWytmPwHI3ranxX43sxNS+m5oc0agGTY32Wun3ueQZ+7c828NShaaZTcI/XDa26oFkTuVdunRdt2duzAK/7AWGSMBzUqCl7kUlRWvrJsoVpUiR2rJZ3AoK0BawAuMbzEjzXwXUljlIo6eYAR8DVOwW/9i+X+I0/j7l/3xRnVtoMm5LxxNCK7bQBP727uUQzqV1ICeAFg+efN/3Qa833Mynb5OcqrTM3uszi5HFV0WRhcnLLgtCMuaNSmW6cVjT2Y8nZhQF7lmbf9OAjDyWbN7/w3+w7dPrYnov/Znt6/o0Bvry4H6FaN854D7xFe4/hOm18NwYEIjJpKtyUwGbyAFMlkkSVUrNKVCzB7KCUWVs/L7gpgTsb95BdVCaVJ2kvZzogyHGyOSpZeawFt++l4J7sMbc04F1/2uAzD8ww35tgZkwyU0vBXbO6u5EGlnVf0vBNyuBWe9f8EAi58wmPpchjyqdSj40oORHGHo8wcmj7Dq+4rs+D+0O6kc9YZAfpDEONF9hadc+xAHeUQUkXIW2CBgN7tkp+6yc7fP7BAb/6wfWcmp9gMO4w7glasaYRgx/Z0cuesgON3CzQlCIPgrPHcqBevjArciVn8WoTxai0LALRIrcxWnQXZ7XocVrNmII8SAT9WBAJl0/dcZit0+vf8s9e3f7T5e7g2N87gx8/8DnixGVm7CTTLUl/CEolOFrmHTIiS/YKk+pgO35NqTSho6pJgsL+yyLxLJAsInVGAV4Jgmz5qyi5ADKtfbY2mAW2dXfSMRNugufG1LwI34to1Qc4Tp+7n0z4wBfa3HbfOkLdZl1bMF2zssRagJlPrtK7SJm7zN4RjhPw9efG6YcOGxsmzRiOMnhmq0miWFFzFTddNiDWFuCDSKSDdNIO9sC6U9biVCkQTX68DYLpccF3vbxHyz/DB78w4J7npjgX1enXJO3Y0HSMBbmTxiHKpHFJSkIZMQiRxjHZIKGCxdcCuH0oxUhloJelZ+aymFSHl1yWWGfJLytRskaLIIEgAYNkGNX4wt37efENV//rt37rLY8vLg8OTo7X//cBfvDQcY4f/SA9Z/NVSbD3l4LgHKKtkGlDsHEKX8lKFAtwG8CYtOgqA7cseaZZzUMReJX1dpHAqS6QFtzVlUKIws/NZIkd76Zz5naVrcXw3QjPi6i5IY3GEM/r82e3O7z7T9ZxeG4S16+xoSWY9BPavqHpQzPtsK/7NttZSxNCtn4lSVcCK0/mOwm90MNTCk+aPMDMvkZmtWmTNf5Kwtil7g7ZMD5gud9iEIl03JqNFVw3SW0+ldqddlZMdgyylPpYQ/GmW3vccPkcv/aRIR/90gyLcZO+79J0JW3H1uD4ji1VzpohnCzpk658MpcqRQIotfFXyZVyoi2TlFlyKHdYtKk4LHn5RanBwurtFNw6bbbQgsAIEgwoyZmlBR7f9/hLa/XupnNzyweXF08yPrn1fw/gWmuuveYndtz36L6P/9ofPLPnpj0OP/OOAZ5rSyOV0RiVpOAz9uqXBp1oYm2r6Ir2MVOwd6mOxGQtZdmjwZa7jnwWQZZWTtlblsCdpp0tg+sScycpyGM8x0oS3wvw3QHHzsf84eebfPreKY6cn6DdcJmswYSf0PJNmnrPwC1TcMs8KVRLtbfv2Qun3Qz41NcdDh6vU1PCZgwzB4UC5cWKZXV4FDvs2Q5vuKHLB744Ra/h0I7sODQ/TOMGpXEcmc5mpARyt4Q2SyLbpiU/9919rtp5ij+4bZIj58ZYjOv0XYemEjRSoHvS2AsndZlUiSSkKMc1VDT5WrfCBDCr4qhRFreZaiq1RnGa4o9LFaTDxLY2msgwXuvxU99+jjde9yAbL7rm/WM33PS6KFz5X0qV5wX4YKip+YLnnnliS2fu4K4ZP0AndbrDgHW+QQobhZuUVaWQSG1IhCSREqm1lShpoY42Ogd4XsiT1gQXmltcUHMD+Qoh88fS/JR8vHLG3gmuE9vOHSfG9wM8J6CbhLz34x4f/PwGTi+Mo1WdyTHFpGcY8zSNlLkbefpepnUqqTRJvfMc3J7NXgZRyMFTPr3QZ8JPXZws6ZS5Etn3NKWalMih3XTYuSVE+UO6YYuBJ6inM0i8VF65qURxMtdDqAsEr4qZsT4/+qY+b3nZOT74+Q5/+Mkp5gdNBk6NmqNoOIK6MvixsWwurVRxMiYXRRo/Bzim6qyMgrwC9GxUBSNSlLTykyKVb6oADzWEBobGVo+ioVm3u08/u19xZPbwrksubW259tprjxkdIaR7wc/0vACXySlImjMbpvl4g8fdf/XtsHs7tJseUWyZ05DgZJNNhUHoDOgSVQa1kSX2LgCeyZIyuFfLkszzNiWAmyKYzcGtUSodN+EkOMqOhKt5IZ4bsjIM+fpTkj+7vc0n751imLTwPI8pTzDuaZqeoeEbGl4B7pov8X2Jn0oTmxhKnYkU4J5rM59HzxruebRBGLn4TbMqwMxXRVPINK0lYaRwXYdX3tDlY1/psf9Uk0HNznsJXIMXY0dnhBql7JxGKyNkMdyHQuolWhJrScN3WD8+4N9/Z5/LtgV89PYWj+wdY27QZKg8XNeh5gjqEnyZ2qiZvSrTOGqUxdPzkMuVEhmZ0ueogHzVXRRSxRSWoC2DhsAIQmP1OMaAC2c6bX7jY22u2gATzUfdn/rJ6z5+6vzKNZ1Ob+7vzODPndoo3eTxG2vhX49dsfMkGgdHabQRSJEVzWt0yt6JkEgp0TIFd9o6VgF1PjpAjGjuLGO2miJybZ9KIAt0nZd7SqlTOzCxAFdJLkccJ2KlF3HfM4I//mKb2x8bY3GlhazXaNUV466h7WkarqHhGeoeKWtb5q77kpqnqHmCmkdaoadTcGt81+pv5QQcOAWnV2o2sZLq22ripACBZbas+k4Shg7r24JLtg54+kRMP3LtmIYIvJB0VHQ2PjpL1IAc6czJU+epDRkltj787a8c8JoXLvHVx7t8+EttHtnbZqHbYEV69DwHTwk8KfAltodTGhxh8mK1zIK1gf3/yj4s2Lx84ekSc2sjCoCnvaBRBuxUtxfBmMEIySARHJw3JGdDPvDxL4399A+/4sYrL9/zRZ5neNDzAnxp8YS/siLf95U7TjZ/5E1zbJ72SBJbPESpSF5Kg9aWtS1wU3DnAJcFY5fAXpYjBcAzUJcALgp3JrtbWWKnX9nHBCUTvMzNkBFz3Zi7H3X4wn0tPnPPGLOdJqJWw225tB0Yc20nT90llR1Q90R6l2nJaaq7PYGfsXcGcCfG82JqXogxEXc+5nP8bJ3pSYErdepEiKLRt4SCrPw0SSXFIHDZvl7wyuv6fPqBkF7kMogENdfgxZbFg8iUVimV+9WkuYfsOJrSOcgaFOLYoe4HvP3lA77lhgX++t4un7+vwd1PtZhdaTAQHgPPwXEVjhC4UuBKiStMKrUMEpFKriLwvCDISwDXKYElZP2fFtR5A4sRFtQmbVoxBkzWoWUyENCLJIOBYcf0Mq+48tHmRRtf/D6Gpy4DBn8ngB89tJfz833+5NMeynX4lR9egdgh0RlrZFJDYmQBaGNkCuR0WqzOOtxl/mWNkcUJWevoiJJjUgK3FOloN6ERKcAdJ8FzImq1iEGQsP80HDuj+Is7xvjiI21ml5rg1nDaLg0labmGlqOpu4a6CzXXgrvm2pmEtsxUlu4i/XeTglznIPdc2552+Izm6aM+uG66zJtSir6aFszYLXNSrJtixzlfuTPg8i099p1uMKgJGrHAjwyBIrX2dMremZuSWZCFVsl9dp05VyqdPuAyDF3q9YDve23AG1+0zJcf7fGXX2lw7EyNfacbhMs+se8wdBykktYNI/17WG2uMnlIFkCbnJRM5TuKAuAI27poIKGQJ0kF1BmwE0vKJimsGWywqXTEj73pHG+52eP0yUNE+nkVyoUBvrJ0SkTh8F9/7Y4/mf7Bty+wfiphqZOwcSYCIdCRJI6y8QwyZ4wM8Pb9lE20RJMCP5cjoqTV1pYl5IxddMVLoe3oB5ng+3aSapwknFuAO77mcOhUnbsfqnN6qc7hM03wfVTDoeYomo6h6WjrIrgG37GD432XFMTZXaZ3lQKcVHOn4HbtLHPPi9MLK+ToHOw91sCVVXuwql1HvOK8gSDtcYxdLt8+4JJ1fZ45EtOPXVqRIHDAS2cCqhLApRQIKStMDqOFTyIPZrMeyihxCVyPdj3ke14dcOtVHU4vdbjzYY8jJ32+/FiDMws1koGLlg6Rp0CqNFhONyQgS7IVj2sxeVmq5P446ZQxk4q1rJeWlLV1kl6pKcCjNNqUCRMzAWcW4T1/1WS5d3z6h7/vn//rI0dP//pFOzevaU1cEOCy/1l8E3/XS69+vLl+conP3Ovw4++e5LUvGXDZ9phNkwkX74zwDCSR7WK3RfgyHdsgUwkic8bOWDxvi8qu+xFdks2hKlg7m5Zql2fXT4gSw5GTgqePKO54qMEzRz2eO1qnE/gEoQ+uh2q7+ErQUNBwNPWSD+w7WZ1GVjZr68L9VJZ4nsLzZHoBmEJ7u4nNLLpW59e8CKNDzi9KAuPjOBJPGpwsUTKiwaEAeWKKfsck9cMFDjOTIVIN6UUufUdYpyMqCsYcpSsZSClKUWy2SiLy8RlJ3gBs/46bTpsKI5d+4LFhImTb+ojrLwoYhAO+/+gKzxzzuOPBGk8frXHkhE8UOxhfkUgFqUtWfDE5egLz5F81I5TNLc+AXQZ4khWz2CsTG2U6aHbtjNg8GXPpjojX3Tpg/1GHT95tOHnyTHPgPfhdrqt+/W/F4H/ysS/y53csqfNz94vzc4a7H5/k8HGHpZ7g7qcajLkx27bEXLkn5NU3BLzi2hCMxvM0tYYBLcAI0JIk3WvSjnJIg0iTQ7g4KBR9gTLNQJLWXESh3UJQCDh2SvLnt/v0I8UTz9U4dNJnvucRJB44HigX1VZ4UlBX0FCGmsKOM1Np4ZGyrO25wiY9yuB2JV4qS3wPfI/UNbEpczvlNk4zohH1WsjsUsId97dY6fpMjNntVbKSgQwHq9gtP5ciz2oGgWJ6SvGaFw358iMDTqw0GbjSyhQH3NjgRplnnXrsMrF2IeVZJzL/G9o4pb9hge4lisRRxK4iShyiyLVWqhvR9CJuvTLmpssC3vzSIQdOSp7c6zIIFR+9o8HRcy4ISX/gkIQyLd+UNuGXF5OLNQBeLi7KgA0iNgidbUKgqTc0bk0jMLziuoBX3zDkiksjtm+JGXNhum1Yujbh5dfNc89jIe0pR7z4+lvUv/+uL8bbd7/ub87gvjfx3s99zb/66RNbWAnAJCH4EXO9mDmdcHQx4f6n63z8joSZiRhjDNftjnj7q4ZpUTvMjGuuvSKiWbNFOAVbr72kZS7JSl/w5FMOCx1JvSZ5aK/L5+6tMYwUw0hx9pyHFg6RcdHCBcdB+A6OlHhKUJOGWgpsXxl8ZWwNuJN6vk7B3F7Wl5mDW6U9miJnb8+1F6/vZrrbsrfnRSgV8rXHFZ9+oIXyHGu3VfT3hRk888KTJHM8FMOhyxtvHvCZr3f46J1j9OIazVSHu5kOj7KMo8m7hYTIrqTs2MqS1i8BPO2Cjx3L5K6jiB0HJ04s0FWCUnaQ/mQ95uZLY150aYQRAW97eZ9hZPf8+ey9Pg/v9aj7gvmO4slnPDp9maqkEV+04iWmroiBZk1z7bUh0+OJ7Q1IDG9/1YBrd0cYDTMTCZPjBkcIBIIkcRgOHHzhcPlWly2Til4QX91sT7zXwJqb/6wC+MJij8mJRvujf/7Xl65vJmpLUyKlYjFUkKRXLAlaJwRac37ZcH7JfugDxzWfu7Nlv0diGJtIuPHqiFbdoBNT/aJrwJvUdVjuKR552qOzIpGOspNojbLMJBzsXGAHpEJKiSulBbM0+FLjSQsET4Gnihl9FuTFmGTXsY0AWeNxGdyW4dOyWjdj8KR0j/GdCGNCTs97hEENf0zipWlvlVblVbKYWUcPRXq9ALmdyhVGLhMtxdbpEE8MGcQ+g1hQd+wQzKyGJEtoKVkub5X537J/I42J0g29LJPrfDZgPv4hTtK8gbIJMhXbFrjIWq6OTJAqZsu0TlcMzWXbhoRmgHQ0KyuCR552WO5LlMywXXXFymAXWBXSrBluujpkbELbuNLYVddJ/3uTjqqIs7EVRpEkDlHs0Rs0WFhuMbfSUDNudOn1N76xHQW9jus3nx/gOppjaUH9uglPvXz7upClnuH8aXvwTJ4xspu0ku0Fky47MYaVbAmShs4ynP2aKS1XawA8148if26EQGdbLiAtoIW0gY60Q2kcIXBFytAyTTunwM4fVenRSTvpFenWe+Tgtm1ddksU3xN4DnmJqWXwlMUdjZdmR103wvcjTs5rPvLlJjgerhRFgJnLkzVqq0s+cTYk1ILNDtYJI5d3vmbAX9894LnzLXqJSyO2m9LaKkBTdOKoLCdQCvayY5qtFKmLVbC4IEmBHifS7pyRWDC7KdCVLJJmSiXIdDPeLP8hZYIjNMJoZhqab32xtsOXRIqHLAskSsUqZTLL3tMSE6s8HtOxIMwt5JJRkcd4tkTEGMHsksujz8WMnTn+8sn1p389SZJV20WsAvjK2U8jhPT2bD7MRdPLuA8MuO/I+pQ9hWXOTEspPQLazG8v3kucCzF3aRnLK3nkqkeR7hqWNTC7AlxhcingSPvaDpfMmmpLhUQOpTkoGWsXXfUFwGUuW3zP5C1tnqdLg3Ni3JS9PSdCypDj5wRznRrCcfAlFXkiRen6pZCkZelQAV7qdISxy1Q7YPuGAfvOBQwSh2ECfiJwE4Mbpzo8zorMdEn+qtLVJHIJbJ0tU6oFyaSRxkk0iRI4jv37TpoVtnKlnGtIBwblf1MXz0NdyVPkf33VOIpqaWgRg2bPi4Rf2WXLYjeMQIqEVr3Pg/sNf3WXy9TECQ4vfNHTenW+ZxXA//ru/RgjuHTTaZpel/3HfZJoCI6fNjzKkrwyIwBfC8imeLu0dFWu5FRjkdd3FyliR4Cbeq826WAdCifLtpUe1QjIsxERjrLVc+WGYwtuaR+9DOhZ8JmCO+v+cXQuUVzH6lPPi4iJ+PzX65yfq+OOKbxMmkhTdVBGvjUlDV4M1SmSPsPATrB9/S09vv7UkE5co+841GNNmK5QWUFUJcsoNEXnUCnPUCl2Upa9NXn5sqMFsRI4STp1N73HUlUBrlL2zlytFOB5ZjkHd1FSkeemc9CvQscaxFeGTeGyGURaqarx3JDLdw347AMKp9Zj40SfRK/+bRWAf+azX2FirP7i3/rwV2/4yBc6hKFi7/EacRYhl9PCI0vuqFOQqZLRLyRKj3lVYClpIKFIEYuiYEml7znpjJGiYycDO/kohDKw8zkoCtuPuBbAs4Az091OJktMqrerteSeG+G5IedWNI8dqoPj4aTyJEvP5wxOlcULdiqaqAtWlbknHkUu110cMDU+YGWpQT9WNBS4sf0uKjH2HpUBjgV5/odkXtuTl0Vok2/VqJUm0QJXCxIlSZRl8ljJ1IrUJa2v86BWyhJzS5MDOwd4xuR5cVbp8QJ4XpMY1/hRkV5cWkvecFPArg1nGQZjTE1uuSGuffuL3/T42+678rqXrw3wLetC6jX9rVum9bWfu69OkDTB1ZB6n3n5JKuZqfIoCsrOQp5caZf+u/LvUlSBIVNQF88z54DcY1Yp2J28Ra0Adv48714pgJ0131r2TjW3Q663M0vQMnYBbjevTowQRNx2r8/Xn2khfQdPCjt/O68gLMpNi5T2aDZzrdFoVmMOhi4vumLAG27t8oe3tQgTn14iqSWGIC5d1KIkU6RMWbz8py7E5KAdWQxcSsGdKIlS2jJ6WtOf1fqo3P7UeducTEsShDAIqfOdogsGJwd7HmaVMp8FVljjCJXeLyX9cukSSK7YbljsJDx1XF3bE71vFUT3rcngT+49xli7/Zq//sLnvvvOJw4TKcfuqYdTTKlKJYPMwFhmabH6eeF0p/52SXJnAM9AL4XJwZ4BOiuLLYO6XK+sFDmbO1kHfcbeJbA7aTdMts9mBm47TmGEudOeTS9tb3OdrOEgLt0jQiL+8s42ifFRefayHGAWfY3ZZV7R4BmL54NyJDqbwppYt0Dg8vZX9PnTzwcs64hBUmOQCNyYnMWlNMhY5LLB2oWjWlSWrMlS4ZMWJE7aI6lSkDsGpQVOYhldJbZ5xYJaIrORb7KQJZlMqTI5BZuXymxzoJeekwJ9tP5o9HlWqmGkpUydltg6Tsi2dY9Tm9z23Tv3vOUuEx36snAvrgK85kDdSS6eX2LX/pOghQPCpoS9VAeXpUNWg1BmZqiyNKv+zRQMXgF36fdVdGX5Xi0/zRg7mzmo8ulVBciVGhl2kwLbbiQrSvNRLHO7btaYbFLmLgJMp8Tevhvy2CHJwTM1jHJRUuJJjTOy6sjScjXqolDR4EUDRJb0SRK7U8KuTRGXX9TjgQN1IuUxiAU1CW5icGKRSre0CydOdTgSgab6J0WJxUVJGmU9ksVAJkdpEmWBroRJZYq0F1NSHtwpC3CXpEoG7rJMKRfMVQhQVEFcAXTO+sV/q9OeAxsTCCDBdSRNd0gYsWtlWVysY+fLqxh8w/gsvtfg226e495HetzxdB0p0lrhTP9mTFtegiuANlVAl1h91XvlirQRzZr9/pzFy0X4Gajz2Sfk4FaqxOSlMW2OkhWAl4f/2G57cmDn2cqcuRM8xyZ2bFdQhCHiE3c2WFioI3zH+u6llWVVDUp5/S1ZhNmIjHIdd+5Na0UUOUxPSr7jlV0eO9QmSGr0lUc9sVo8IxwlScGdrRU69cSzwtxUqozo8XyiQakROBumqbTBSVcIpbPVyaTNyUWTSbnpZK1a/QzweeCZM3hVxlSZuvrzeWyR/k4tNTKVdkKBVjH3PC3YP5/w8pcsMxz2V0uUP/nkh/FcxdOHFnn2WA1H2OKkmrTMncmGXG+VwD3K3MV0pNVllaO6dPRCKXosRxg8b4QtpjHJEfYuT5C1LC5RThXgnpMOAHKzrQPTDKdjp3JlG866btZFU9wdZTt3njsOH7+9RSA9lFSpZVmdyTKawbyQe5CzeMlN0SmDx4mDnzh8x6uH/PEX+zx1pE6kXPpS4iU6dY8EMikfM4OQIncw7E2nf6u6b1Gly0aDkxdnGTveQ9qSAJWYfFhneeyyzJ0cnQO8DOpRqSLXAPioBKlo9/J7SPs7pEFqmbspRlvZ9IJLByw9cw93f/0wSsRVgB8/cZptWzc1vvff/u7Oux85SBDErGsI3BKwRaq9y9ZXpZUp/URrAb3831R+ZkR3Zyep8lqUJlWVAJSzuBoBuKrOIVQZg6dJngq4s/S9mzUmazszJG8Ry3o64/QeodyQg6cduqEHypYHuGX9LarfNwd52UUp6WEz6oXr8pB5q8WbruDSzUOeOhiSaJ+B9qgltmbbSTW4EnbGn00sZXpWUxRCZUxeJFCy8WtOPtjUvqdSRrfH0/bVypzFRWWb9aLmPWPzbNWtgpw1pEr5dZkMK8RYClClsPFC9n6crhZR7OArj2+7weA2JnfO7PnZxk9830/3xyc3WoCfPXuObnfl1bdete5njux9lp5rBzqWLe6KZh4B+qrnFwL7CKNX2HxUqqSgrrJ3IU0KJhf59Fg7qq0E6vx5muRRWFclBbcFcDEUyC3LkzJ7q7Sv0wtZ7Gp+569aLAxqCN/WfnuZD5/HCKJ6UV/glne86HRMRkWDW0cljh3aDYcff2uXrz7WZiHwCKXDQEq8tIcyc5eKrhtR0q86t3cNOgW3xiBHnBWRMrgFsdZpEK/TY6xM7lqtBrgpVo8SyEcZvQzY8uuKZFnF6GXps1qXZ25UFNfp9FwmN13yM9Gxg/fF8eCvcwbft28ftZrH7LmTtPwYKT2Gkclb+ysgHwXnGkydfzie5yIoS5MKa5dGFpRliizmDValSsbiowC3NpeTShInB3imuXUeVLqOzsHtpr2cRUe+BberIjwv5C/udHn2cB2ki5QSPyuNLcUn+R7x6Ze9YDVhic3L070ymRJr23IWxy5X7urzpls7/PEXa2jHZyA9fCnypI+SgkhkI5BXM7koM3lWzTnSG6sVKGNXBW2EBXdmwWpIyvNTZObcUNLiKZPLqjwpA74SdFbeT5m78jPlYLX6O4p4RqQbyzrML8FKdJal7l6SOCwkiuO4OI6LTDtEsk1bpRCrAb4WGz8Pk+ePsvwzIv+gZbYry5MyiyuBHSuWMffzAlwWAM8TPRnAjZ2TnUoRVxVuiVsaDlRobsvermOnVi2taD77tRbzKz7UUvdEFAHYhSQKow0BpgTyUdsuswyzPXESuz3fRFvxbS/v85mvD1no+YTKYZDI1J4UqXsjKjGMqKh9nXdRYUDnbF60lDmZs6LS5zJ9LSFJga7TFSrJAs5U8+dsLrLGlGza7wUALs0aWCorg7T/tiJtyrq9VM+T1rprA8pReJ5LIq0kcx576iDT05M77rn3oZ947sAZW7llMsAZpBEw8ovXAnIloVGSG/a/EZV/L/57UQrIREWHV9i8NFIsG4lcnv1d7nCxw92pgjvb2SBjblVi7lUMno2bKEZOOMpmLo8eExw4XkPjI6STN+cW1YPVi7NwNTKkV2tRCiYvGrIr24Jk7WaJA8Zhz/aQXRuHLOyrYxLPsniSev6iOs9EZFIlX1VTwZ2V0ULaaFBuRgEtiwm/xezCVJdLy+Ky5KYkIgN38ShKQ4mkLti9zNhSF3GbHNlGJf95XQK2LEgxkzRFTGGnGTfrEhGfYt3UxT+x8+IXP7E0d+CYs348YaI53DA5nrzm5NwC/YGP5xSJmbJvuXaAOQL6/D1x4X+T5d9RAnYGjIr2tq+t9k5BXgK0ZXDSSVplH7x8T7e0VmVwl0Ce7lfvqpS1U/ZW6WvHiVAq4vMPtDg4XwevkCduKfgd/Z6j4yLWkil6VcBZbPakS1o8DB0umg55/Yv6PPxcA7RLnFgt7ibpkM+kKpUsmFI9nivWFOTGlCRKSa7I9LlMVxWZ3YVlcW3y1VOPOkc6W0EyMsqem4LwxCjgn0+2FFJL6lHJInJcgiWu5kTCmdlTnF+IXyMb8YYwMMec8XafRlvRqPdYigK6/TozzbQGoQK8C4N5dOTuhVyUys+VdXx6debz8ET5dTbMvszeaXWhSkGeS5QRcKfVhHmF4SiwnWJAUD7izdEpyGMrT1REvRHywH7FX3+tyWDoQcPBkdZlKkuT0QCzTAyr0b2G/h6xDMu+eBQ7jLUc3vyyIV/8ep+H9nuYpssg8W2FZV6zI1aBpQB3AfI8b2iwQWd2gSnL5om0ejwDeJKzuD0XSe6okIOvbAiI9P1RE6EM+OIzCsorzup/H7lgRwJYe941462A5cECnbCH002Iowjnvmdhetxw91MOx057bJkse5DV4e05mGWJeS/I4GVgF4FW5WLJRiqUgFFl9RFgpxdDzt5KpHPAC3Bnj65j8m0DHacYoew4WcVcFehuztb2rlLnxPNCojDhi/c3eO5EA1wXIZXN7mauQim4FHLkOIzEL5UAE1EMrixlMnXWuJ1q8cwuDEOHy7bFvPaWHk8eqxPEHol0GWiFlzDyWTIvnBEGt49ZmapRo568RiuByubVSIFRILOLURf5By0pyZMUcFpUZGZ2zrKZKmvFYnIVcAVkLJ+yuCU+XSJJg0mdK5PqvSCSXLzZMLWtT21sBR13cT70kS/huQ6zCx22Tno0vIKVynXNxQcWxUkss3BZd68lT8paXFaBX34+Cux8upLMBrSXht6UWbsC8GJyag7sFOh2xp/JmdrJH4vnbhpcOirC90KeOS748tcb9AceNF2kEBVrUOUneiSLuYq+i+dFq6IYmec3kvApFWCFkUurFfLamwM+c/eQJ4/44HgEWjJMUkdF2+1iClst+xwWKCSVZsnKauIoCukiLZtnq4pMmVxJC/YM6JkHnq1euVGgDaNxlX3/+QhRlPxz29prWT2TKGlpQLpalW8ikQyGLlE8Q+/QXqR7BnSMQzBPHElqRKxv2/G2mCKZktV9yLKMGPmAqyRKBdziAssUuY4qpEhZrojKezZiH/XAyQussiybkxVcSQvobEb4KnCnd7dU/2ztwdje066d2CTcdl+de56p24IdaRua3SxNXj4mjNzLQF91K7F3qY0tm6CQOSqJlhWgB0OXl17Z5/Uv7vPs8Rpx7GKEYiAc3ITiMyUFi9vNCbIrajWTF3/foFRqGUrL5va1QGphdXjZ7zcWsEragLDsia+KrUblSiUOK901FZaWJeBbV88mnUwqoUw6Z9sYSRRLwp5LtGCAPqBxtm/wUUrS6UIYDukOiiuunA4vM/koqOUIeMvMTr7kjLA2rAK0yJg6X/JEweKqlNEsZzNz5i7Ane3q4IyCW5kc0G4J1JlzYh0T+6hUhOdGPHFM8vE7W4AH0kUIZVviMmuwVJsjy8dAFIyd1RMWwKKoSaHM3CUNbgQ6sa17dgqtytP3xji8/RUD7rh/yCOH7SSBSCv6iUgLvtLPkqSsXarDLq8hWUUjihGggzKkF6AFtpISVbIzlUo1tizYXAgLOpm5HyW8FIAvOyQpDkYC9HJuJPt3aYpjLKVApRuUKWQaONtv1u0r5ldcosRFCIPzqhf2qPmSo2dCTswmDJYdGp7JmTvPFJZqQdYC9SqQrwowRfXfRt4rtFoJ4FJUlr5Kqj5jbZE24FZAnu74Jquau8La+WOW2Ck0uFIxrhsTJTF3PVTn6UN1WzosbXDp5ePMSgc9//xra/BReWJKT/LS2VKNSKW6MJFolToqiUMQulyxa8hLb7QsPkgsiwfCY6jtbna5m5GYfJm3H6O4yEyp22oU4MZYoJmsM1FabS6NzUNok2IjA3cZ7OVjoav1RZXzn7kneg1MlQNXTclZE5bBFaVpLLact1FLmFsJeGif4tySLX12bn+qi+fCuQXDiUWZf1CnUsBUTrCsAWgpiqrCPFgQhQ8rKSYhXQDkmcbO5UnO4gWoV7O3qTK4zCY/UWLwErhVAe5cd6ez/iryRNmqwYNnBR/+YosgcqHhpvKEvDVNidIuwbnmpmDvsl5Zy0UpAb0yqLK8q7BZS4s7NH3J9762z233NNl/2l58iVb0E2WrDBORzxNEGESSMnkyspJkUC8FnNnGUsrYANMImw+Rxq6oRgpEKqekFAhTADE3DUx1RcuBmr9nWEsBSIpgMw9OBUidOTb2mBsjUCr19gX2wpOGTTM9br2uTzfw7Fi/b3npj6y/88F9v/DFrz9A2zNMNzPQiBzkTg6wErBLz2U5oSAEFY8zlyzV96qMPfreCLBXSSZTCe6UKrYsyR+zwLKyjUnxvKK7nSq4HRURmphP3dnkiYN12+4jHJSwmUsnrcGuBOGVIPv5tPcIyHNwF1ZhPu8xna9emYClJVo7hEOX6y4Z8NZX9HjPn3kMtAPaIRKSvrZSJZcKSZZ0yzzxwlkxhlSiFJLFSDDKPpeGVO8WwM80uZEW9EIXZCSkyLV5gZW14raqlK1mNkUlIM2lcerB21LZ7KK0XUyJFAwCyXjL5+XXBNQnb/0FWb/2R5xn9h8fD/rd162rRbQbyjbdprNDHFUtaCokQwHIimOSsfvIB80YrezAZFKkcoVnB2PEvSmKmExFnsiUtbNCoHw7DlV+zJjbrAHq1Y9KRbhOxIEzko99tYGdv2LZ22pvisIqUZJNmXbMHkcCzfxFLktGZIGu1oaUNwow+VwQiU4UiUq1eOLwna/s8+m7Guw95YIMMUISJC59UncjO8ZJVsCUBZm5SMnhbu22avCpShehLN9FFmRa0OmcYYt0/poBZnqsktEAU5dVQTllX/XaMyxk/ryj0zJgABy0adDtS9bL4evq8ZFxxxEBNSdismmo+Vn9RrEzcMbmZYuw6pqMsHWuvUeYueKyiIr3vdo3LdybIuA1pVggZc9SQFneMlCV5EkO9pS5VSZRsrkfaVDpyNhqbxWTqJjP3ddk78FCewsh85EVhTRZg50ydVL6rlUFXu02LDcgF3NMyoPii853rWXJH7dS5bKLA9744h6HP+YTJgqEIhGKoZC4qUwReaBbep5qcpMDXeR6yZgsiBOFVEnZXGagF2kAKlLGFiadG1/o8dzqK0vakkxZ5aCUiLEK/qIsN9Hpqi2E3a1PGbuxlQGdCKJYYrTBaUrqscFp1yW9uqRVF3heaYfgkgYvgF228DKZKZ4X3Ks1dyFbZAnA5S9cFFgV/nLR62iKwFKmBfn5pKeSTMnBXQSUmdZW+dyPNMEjE7spqkpw3YgjZxW/96k2Q+la9hZOqWs+C25LxUVlSSJEDvLnVSemXI9SeOG6VOlXBJqymJuiJEorEu0QJy5+EvNjb+nxV3c1OHzGARmDSIiEYCDsNur55yxJlMIuLH2gEpMX7F2AW5UuwNwmlBmwBdIYC3hhu4XKhKjFKBmWXJJ89a+ueoLMTiz0dxavJamEUYkl5CQRxMqgYkMSOzQHDka5OIPQ7oirlJ3XV66tzqPWSmC5BnOzFotnI31HHZPViaGKziqzeanOucLgspyMKhyUHORpYJnvtJaydaG/M81d7AjhqBjXCemEmj/8TJvTs76VJ8JBSFlYgyXNnT+HNU9c0W78vwB6Dvhy44EoWYfZ4B65KuCMY4ctMwE//KYuv/Zhj5XIjjo2RhJoZW3DJLMtU9swb0Io5EgRFBSTfw2GbP9qWWbzDNTG5C6KEfY7CAEmrUHRaXCq1wwoCzxoqsxeOYaZDtejRFmU7cZJufHcXlieZ2jUEpyspsNz7LD3suZeMwgUJeByIXmSBptrnfgLgLxSw1Dqpq8yuBkBuBlh8kKi5DutyVJAOTqxScUoae+OinD8iE/e5vP+T7QJtJvKE5UGl6xuKl4jLV9c3KU3LwBxU8YV1YxmUUpbrTSslNJKRSIdak7Mj76tx4HjHh/8nNXioEgQDIW0LYeJNQOej8kLUIviA2ZSJZMkxqDSRKAxYER6UYqSV13yxXXlfJvVTM5q/DAK8jUlTTVLWm1Al8Rx2obXqiuGdUmrYXcSK488WMu7zgKV4vmILLkQm/0NAC7S7GAO8lJweUGAl5hbZqwtU82dbUzlFBtUlasEi0ebtVxcgr/6aoOlIAW3sADPx8OJwp68UHJnTTyLKqhLW88Uc9KNZbK8+11nLWUy3X5Rj4DbShWtHeLEYcxLeMur+nz6vgYLXQUyAiOJtEs/B0Mp8VMJNkXB4yWnpAgubWFVkXm1Gl1nJJQCXqfBpxH2eRYwSlFlcXuczCpslbFUqWAtg/6CWCryNWhJp6+QnsKp+YpGTdFquPieypm5WiKbHowymKkCfK2rjgst3xVgmAobqqwjpAxyUQX1KqArk4K5pL9LOtuRSSl7WbC3o+L0McJtxNz2tRoPPV1HS5d8em0WXJaylsW9qJuQYu3v+fwknkqEcslsvq15uTmYiruSGInK5Yp1VBwdc9OVIW94YZ+PfN4DFWJTKZJQOAzSFVWWRn1UVxORsnU18Cy0uGVuI4uVRorCVszBLamweZnFizLZ0gSAykVXCsxzQhUjAK++htW4SxLoDQReTeDUfUGjLmk3JY4jS8MQi3MgRmhIlN8feVwL8EXRj1kT5EU/XyFJhCwSKYXeKobOyIoG1wXQR8CtStagzLYYTPW3IxOUtIPfD5+QfPi2Fue6nt3vWjogrIbNd2wofRc5clBzNoIqgJ5HgOeNDyMZxEozckmPm7JMyVg8kWhp29rWNxO+7w097nva5/B5CV4EWqGFJBB2r52iZmaUxatyBYN1UqQFf6HFTVrBJ9Ayc1as9LFAtyA2FcZOGxagxOSmIMs8JsiOoVmFuwrRrnVoRXEco0jTH2pqgcap1yCswVjTgiqf1ZEd/OxklJ7nH2bVRbAWwAsDf7XZX07hmjU0eDbBqrQDbwXgVYmi1gR3MSFVySTV3RbYUtkhmkGi+f2/aHPPY3Xb21YOLkU2/LOwKIuaitUWYeGmFMcpO1blE5LbgiWg5yW0JUelvDNdUUarSwGnQiaaWDqo2OGl14f8yNs7/PLvewSxtI2oWhILlwG2YK1YYdeoLCyvKoDK2NyIlMFTf1wam81My1WtLBGpY1KdnZNlNovjU4C/6B/NcGMKa1VU2VaUD2h+HZoSQdjVLwgi+sOERqhx2o0EEyWMNXU6dbQYJ1AF+vPsQFxi6ArDj5z4QgeuBvmq4LLU0Jpt0V1mcZkNupSF7pZrgDtLxau8zkQX7omMcb2YOx9x+fQ9DYLAhbpjtXfK3n5uDVaDy6oGr5YHlwGdu0lr0HeRbskkAlVw66IQK2dvU2xcJdOt1O2gHuuo1Bsxb3npgNvvGXDHIwpUlJ4MSYxDvyIhM3BXQW6wQ4XKq4ySmXWYghp7jgyk1qBld5MeD1MuYcidlGz1S334UVIogVqUmTS/6cqxK28fnmE20YbeIKHbT6j1NY7dwUBT8zSJMSRJFi1Xt2DOkxEjJ6lMSxXJUvrga02xKgNdlqRImdFzxhxh7gz0q5g7e15KxVsgJ8VjmtBR0k6JXe4Zbruvwf6zNZuST7V3xt75HpGidAGmF+RampsKoJ9Hn2SHMK0JZ9RBydl8hMFzJ0XnlqEUiiRJkNIhChx2b4h4w609HtrrsRKm6VcdYhBEQjFMpcpa5bNgNTdpUKkgr2qyG1KbUjNEpr1TBs/LLEyuya00KQWUUIC9RIBloswezRpypJwQ0+mByvbXtA3IEKTWdxRrnE7PoTe0C5HvarRDpfm1vOFsuW6ivExUQW5KNmJVssiUFcpS5EJSpZi7UQSUxWuzauppPuY3B3sxtN1xUr2d+t1K2pY0TcKffL7O+z/VxIh0W5SUvRWUrMFq88ea8qTCQCWQX4C9y48VmZJvvWhKGc2RMto8q5k6K1KSGIXSmihxkUrzo2/uc+iMy/s/7RDFaX2BsBuCDYW0FXxkQedo32YZViVmF+lnlCYtnRV5YGmE/V1GFIyuBQhT1HSvnsSQBpMjTe0jlJl/hnKjti6tdhanJh9BB4KGL2nVJY7j2B3D6r4dYqgNxEmx1UU21itbLimnlkduZebOo+LsiszYOhsHkAGbjA1LLClBZruIVUaElbV3NgSyCu4iyCwxt9AFuLN6Ey/i0DnJp+9q0ut5VprIbD/IIrFTDBxdY+53iW3KF3MWHFXYaQ2Mm5EXhvJdUG5EtsOBUjaXRYazfE8Su59SFDm0mjFvflmfL95b59DZ1D/TAlBoIQiwIzpF/gEKJjdZLUr+OVJ5kiV0qALa5Fq8OK8mZ29S2TJiCwL5RNmybKqEliPlBCPBuNYmx2aiizk+caQJQk0YGZwN04Ker0l6IQaIY0mUCOJY5kBXuhhKk3mhZQ1ZAXk5AM2v1OrUoqKbY40gUxQSRFxAouTAHgW4rILbgr3IVmYSxVExQaS5/cEmX328XkiTlL2lSNlblgPLYuhN1cOvZmwpP/8b3EwJ2DnQy3cNRlVZ3FSSP6lM0RItFDrRaKGIA4dXXRvyqpv6nPyCQ6CtSYiIQEOMY6VKhSVH5Eq+QheBp5Q28CwDXQuTNygXaXmryYUg3ZUkK84bmTCcrXg5aFYPya8E5FmMorN97+2OfrGGKDbEGgZD6IYO/djDGZvcuuzI7hfNdPLPhsGQQeAyDBVhevLsDld2SHqWoq0kKNZi8XKglZ94UwF11QMvv6cr2luIcmCpC4kidVpFqEcclKLWROWed5JnLJWKkV7M3Y94vPtDYyTasfubiJTBxdpp+dFO74pNOHJhV8D9NwH6KINntSkUksT6z9WOeyl1pWZcyxTsxg4L8jzNz/5Al/2nXO5+WKG9VBtmQadRDFOUCkPer5mVzpJqbpPVX8sCYDItoc1AbWvGbWYz978zwFOwer6ylSRJ1Rb8XxDBCHsnGqLEEMUwjKAXCGJTx6uPffGSXduW1fd9R9QbDo4fdt3hj7RqfYxxiBO7i1X2J8u6czS1bhsV1qj4k2sUSJVeyyx4U6XZehXLL6tLL70niyKqCmvnEiUZYfBClmR13o4Tc2pR8O4Pj3Hf4820z9IDZVvSlLLzt2uSdOe2dKaKrN5XzybPShyqw4iy1HF1lktx/MpdSln3Utk1yglg1D6VlCoZ02mv+eqYuReG6akY39E89JTL8qBUAplemjodBJS7PWbEjqOQGQWblwXEha5XUfX4R1arIlgUFeBW8wFU2FqnsxO1Tve515AkhjiBMIbloeRcT1NvwenZs9/31Qee3O/82kdbJImi1ZC86tqAa3bEqEFhv4EgETL3yKUp0rXZ11kj1qzaQBQsXjBfMcKregGNjOfN2VxXmLyQKRnAk9XaO9v+Ls1YKhWTeAkf/swYf31nE1PLmNv63qRZy2y3hmrWknwfoTVTxvn/rb2siVEAlALMjKHyDvsKi5d1cNkLN7keN2X21pJEKKTWJFIhB4q3vHzIc0d6/PofuYR+XNFSBkGYC5X0S2ad96KoF1eZ3sZelCYturL1KEWgqUuBeCZP1hoC9bdh75zBc/ekcE6SXKrAIIIXXNbl218KGyY9wtjgdBcnAUlnqc4TNY/N42CyCDvNTkE6cFyU/5BZ7aZUTubIuDeADMxULcLKIJdKYFndLiOrN5FiBOCj91R7S5lU5IlUCV992OdDn28yTBybsRQ2Y4mwhWZeVnNSCiyLFqrSBStz5bgquVMNNksHZs1bIUey+R6VLntjcomSF15lqfvM7RLCavAM5NLWi2vtkAhrA//At/a4/0mfOx63+5CWgwWjBWERGhcgl0WNiklbwvIAU4BCpDv7FUAXMgM1pTS9KW2UUB2MlB+Z5wvITZnxU8ekBPQsAF4/Znjhzjo7php4Xo3E1TivvF4hpCAKPTynxVInplGLUyYVOVC1BjGyjFB6rJyytVwUqtq7Am4KJi9vhVEweHmHr9JmSGLEFqwEk8VdygTlxPQDwa9+YIwjp32Ma5sDRtnblcVWLavnDZYuTKpsVEB41RvPC3Iz8rxyMstMXlm2xQUDTi1SR0VIRKKsRx4qLtoU8x9+cJn7f9qjO0z1jYlyytVGEWpRZXJdkJgR9rn1yFNdru0xyhM9uQ6nmiegAD0Uq3h+QYkLHZ3SMRrJVpaZHOyOHeM+nD1f446HajiOgzEGZ9uWaYRUREGHJOziqCwYtF8qVRY2WDB2WRxN46/JS1lWMwNG6SpdBfBcX2bALr0uSxJR3eWr7HWrUXCrJE/ouE5EnMDvfrLF4/tqGJltBZ7JE8velYrBUXlSDixH75S/V+nNVWetmhmruFFlvboq91De7XcE2JlkMQZjihS+ZXFJoh17TLXhuj0RP/7tHf7HX4wRJtmnlvln0lIR6NIHz0EOxgIglSmiqFMRRQWhESK9XkxRbCXtrzGlw6LLEo8CJxe6VQFOBeAZIUggTmBuKaI9VqPdGCOKY5xbbn01rt/k/OmnOLr3KI2aQio7dVQbYZOj6S8Smd7KHZSMxrPoZOSclgGdvR4F9xrPcxYfcU5kDvJ0U1JRkiSqYGtZZnAVo+oJdzzg88FPtFgZuCVp4gCq0N6iNDinVCpQNFdfCNiribtY8C8wOnnkvYpVSKmzZoTZbUo6nRmYOSzCto4l6dYeiZDpNh+pRy4USaxo1zQ/9LYujz7rcfsDCho5MtNfLlKQF9/ESHAzmkytUjuUNqtNMYUGT4FmTAF0Ycq6fMRxEquxckGQj178lALP9OMl2tDrx7z5Tddzy41Xs9zp4rSaBuUKpici4vUrJKZGnGR7xEgSrIWkdQHu0TqK7BNUluv8S1TH5FZT96uBPbpjV6HFRzciLevuDNxFQZVMtbd0Y/Yddfi9j7c5tOCmGT2VUosCaacGFLNOzJqsXQZ33qE+CnZRArO4cMA5iveKTBlh7uysVlk7XUlFoc1FlgyS2Z7uBYtrIdFSkUSaXZMx/893dDl2zuHgaYFxSldn6ulpqQgMdlZ+2S7M2FuYAtDpTmzalJw1UQA9O99l1s4nDxScuCZ2suOxFosbUzgpsbZdPZEWdLqClaHCSIfYuDixTpDGMAiHRGaOmfFxuv0GgyBbAmS+1UvWdG1WEbdZxWCkV2+ZtcvypDwitwzszAvPWLsAeZm5ywFmUgJ8SaaICNePObci+NU/avPpOxsYtyiDtb2WadZSlCoGhc3QZSyeybUsQZEbbBUlskY3yiioR0+auQCwKQV2GWOXWtlkyrhV/zttDTM2Z2EBpUgS+zzRBpHYTVodqXnLywesBJKf+S3F+WUBfhoNZrLE2C2/A5EtKCIPLg0GLe12JyaNVYy0teZGm4qTIjMQ59lLUwSeZRK8AINnr1cdJ0r2oRZEMXQjyWJgaHl96vXQ5kicBHl6wSfUjXOff6T15d+5bTvHZru06mGRRi8FhoWHXSp4Gi1dzYGXetVZrXZqO0ppVjkeZQtQybQTp8LSWcJmNXPLCoPH+aPjJIRoPvf1Ol95uIHJEzkleSIUKgX3KHtXC8Oq75VBvHaguTZbr3kbpfCMqUpZzRzkeuR1OY0/WlqrM8Ar66gYB22sVBFG8OoXDnnji/t4Irbi1cT2rtO7SdAGQg1DA6EWRMaypGXLlDmNzSLG6V6bcbYVYULxXJe3Kxf5e0lS3rqwes+97lIwmZiS7s7IIH1veQibZpb4r/9PwutvCr48PVY/t2ODQL33t3+HQeuW5eWut3x2XvzzGmfZs9Wl0/NJtMwTPkIA+V4spaVIllPta2xOVHJGVjUvqOLfL1zrXbpgysBXOtXaKdBVobkdFZPIhM/cU+e//MEYR8/5pSYGF1Q6CkIKfAm1dJB9tt+NTeYUyan8sZzEEtnEgfJ4u3T6bZrQqcwzlwK7cepooozqXkSZXBNFz6HKEj2y+jOVTZqkWbN7qrJXZeZoaJhsx1x2cczJ84qDxx2boc5XmkIkGyRJyt6F41H6ZeWgeWS5qsgKSvIiq7OpPBbArUqR4t9GZUuZ9geB4aY9Pb7/jZeyZcP6/5fguQenNr/G7tHzkj0hjgMXtyUNMcOpWVuHUllhK10XurK0lKmnWkhTclIyQ18UF0MhVUqaOwsuReGaCKnT7J62frgqSRNRAnfG3l7CyTnFBz/VZP9hH5qpJVhKxyPkmuxd7AVaMLesSKwRa6vM7IjSMaoaKfkpN5UDtmY2MJ8bnp/Q1VZhJlfKNmEirBaXpsTiUiKMQhuNSJNAwmjiULNnV8QPvLXLw894HJstfeBUpuTSFEWobSBpg9pCj9vnoujNzAlQ5O6KMIZqrFKVJZV6lOz90oHJqw5N6QhlxIk9f9umYNgZ444Hx9g16xIE9ocdgJfdvBvXq3P2ZMih5w6zsCzxXJ3LC5mN1Uo9zOwvZcAvXwlF0DDyMyUNNro9XHW33DLYC1uwCDQta0thwV11T2wr2mJH8p4/bXPX4zWop8GkKPveEiFsKaxbWZFGVp6RE1J+LDcbl4mg+uTCtzVUSQpWnUuTKquVB3SWAS9SsNsgKX+tJVrYZmU7wkGlx1+hhSYRBtE3vPzagJ98Z4df+cAYS/30S+VCmvzRoIgyo0GkW51oC+6sDsUSRJH8KdwTkdqGWQkBRVlADvASYZrqscwhlwf7Isditqq6CgZDRV9vY3zdlfR6gwLgM+vWo/yttz/x6F3v7gybPyMIaNYEvgfSTXu9S2WrGSjzzyCKU1YNsLKlsaTnV4F8NcCL1zpldF0EmZmLMgLurJBqKA2//6kWf/SJFt0k3bO7ko5XufbObEHbmltySriA583I89L3L2qbxd8Y6NU0fZW9q8DPlvgqsKsDgzJWp3BY0iBUymwDVYU0hkQrG3zGmpYb8SNv63J+UfLbHxljUNr5O99HVpsU5JI4K41Nwa4lONieTZl+8qw5WZD1aGaNyKJ67DJVcCE3pQzw7N9SkGdqQEmoeQLfNYy1GvQ7C+++4dpLb9976Ez+NXBq2/jd3/6N/rMHe0fnVmp0B5IwtsXxNvM0WqaqC51c0cilqr+0RkRW/k1X/710L5i62rAgy9WBKYNLuZq5pYwxjuG5Qx5/fnuDTqzsZS3K7C1z9nZFsUX5aLdOPjKuLE/yALNU2lkOMDMZ9re8VbRlCfWjenT1ZlUj5bNZrXje/TOyRXhpSxRjisAzjh1ajuEd39LnsksCZJKASUCXAk+TpMGnxhhbkjrUEBhhg09dCjrTYDTWNnatBJWZrWfsPUl/Pus9SEw1MK3czeqgEwr2bviCTTM16k736H//zf/Wv/ySzQXAAV75qtfz+tf/MzZvuZj+QNucWykgLE+KUqpwOtauCTGrnle7b0oALgePogC/zH5GZLJkxOuWidXf6V25mmePePz4uyd4+mCWii9r7hTkiFx7K8EaKXlTYYxVjM6FGLxEO1lx0d8G6COMnT9PA7EsGVO1Dp8ndW9k6q7YiVjZe3mDRGnGoQ4VV18S8d6fWeaKXQFEKbh1CnQdVcFudO6wBBpCIwgN1mUxFuhRCtjEQGyEvesM2FXAJ7oAfPkep65LduEkib1oMscma8LJAvHLLruUN/2zN/P6139rflyd7Mn4xAS1Wp1Go1bs4+5mu/3a5gEb5JWCxtGTKKoMVuy0m+nwQuLk/z4aZFZkSeF/5485uHWhu92ErpG871MNnnjWJ3FGmLtUUJVp73KnTh5YjvZZjoB8lR4X1e9f6HFDZa39X0C9PJOkwuyV6sJSsJkFoSWZYv+bbM9LW6ClhbQBXvYcYx+1RgiJECr9d41KNNddHvBjb+7xs//DoRtjWSCXKWQZrvymkYRYS89NtbhOr0WZfq+s6cHmkKrD78uHKUv6GEqHzpSIpCT/sv5LIQQqNkQJRLHG9TwmJyfp+4PVAK/5Dr7vHVo3VTscrvd3NfwOjVqM79nALbP61so7rzp9laDBFA5KDvrVOlwKXXJRUpCLoqgqDy4z5i6Bu68FH/x0k49/pUGgyoxdYu4UvdWU/OqmhqrvXfp+Igtuyl+42Kqk0vBQOiLPV2NRpu3VDL66e0ob0kSPSe3bIqgUadOCfW6BXTgttlZFGIlItbgFtp14IjCIxOCLhO94VZ+9xx0++KkmvUiAS+H86BSJ0pANlCC1ETWQIHBTAKpUd2djKjKHJQswdZYiE1UQj2bARg+fAEQ6/zzWaQMOmma9jsE/rBz3ECJcDfCZdZs4/NxtX14/U/uoipr/IRmeodkAx4nzZdtqRDFSN1H+0yZ/upabQg7uAuAZkMsZzDyozKxBqVEiSVeQBFFK5nRDwQdva/Jf/7DN7JJnu3NkKalDAW7JKHuPADv9nFm2cjRVX0nwlMC7iqzF6HF5fnyv9WbZ+x2VLTrFmE43Xi2zuzYg01qRLMgsNlRNLwQtUgY3FuhGIrQijg0bphJ+4Yc6YOBDn2vRjdIDIkufUZsC6EZhhMQIQZSCOhEp0Cm6621WM/X2M9uQYtEXOXzWPl6VWpT0P5Ax+DF0Bglbt00j3OZHP/W5e7/8/f/8DasBDlDzJUbUP791fedNLsvXek5InEj6gWv3iTFZkCIqYIfsKl996RXALh7LkkSUAF6wuC4kSuZ1p+Aup+SFD3/9lTrv+sM255Zcm6mpSJPCIhQpe+dd8mVpUmFtco+1GlyujuYrNc1iBOiseuOCJ66M7bwTJq/DptDfxhZgZRNgywwuyxYigkqmM9XfUhsLRmPsiLiccCyjYyAODRvHLcgXOpKP3taCGoVUKd+KvZ9IRQcxImVzcI2NdxS2UcbOTklXwlH5MXK1V2qdjP1T2kBkbBCbaEMc2Ei25inWLaknmo3658N4WPk9FYBv3vV63vPeH7lPCPFIry+vjWO4ZteQl10dEEU+UeIWQQrkwU8G9tFb1Uq0z6vAHr1rVAruog1rFNxpOt6DQ6ccPnJbk7Nzru0xS7viq9JE2as9BXa51rtSEzPSazkC1QrQy9gtMzlUL4K/aZBpKmezDHb7G1clfaCwC9Njb983edJHiHSbEWFHL2eSRZQkjMhArovhbAJFHMLGmZh3fmuf+5/0OHzaBY8LLDnlT2yvAJ1WE+oU3I5JM7+pPMlHSWQAH1G+5eqFDNg6BXZoIEk0Sg/4lusXuGZHiFR1Jqb1I0/vO3bfz/+b37swwAGePnkDSgoeeOwAJ86vknYKWAAAMJxJREFUsGmsw/t/9gxX7JCYQNhMmDB5tqzC4he4VeVJSXtj0r1ZCr1tZUoW0GZafBTchsNnHH7xvePc+WgNfEk5Q1n2uzN9bJ2TomKwsAFLS2gJyKtYnercwdWv02/6t7FORkCep7ZHalFGm0vyclFEpYWw8MVT1oZ8rrf1xmVetFUGuk4LtNA28MSAHhpe+YKA//zjK/zH945x5AxWj8tVn7wEbkWhZ4TV5gYSYUGeMbjKGHzEWi00QNFzoCnZisbqexGFXLNrkXf96BLjfgtNi7GpizAYfv7fVD/dKoD/5Pe8HsdxwvfFn+DRpw6ya9uAybbdv1wKnXZrmJQVRIVV1tRQuZNSgBvKwaWhrL1tdWFZllStQukajs06/NL7xvj47XVCkW5Mn7F2prnJwC7ypI4jir5KmUbyea8lBevm5bzZ11lDkqx5IeeBx98N5KOHsEwcoxq0uABKjJ5r72x7cJvNFKV0frb7nRHSdmkJg1ApyKXKwa4TRc1JePurByQa/uPvjnF8NkVMFjVm7fWUgk6j0/NguyGMEHkQmh1nVfoVYg0Zp0tBdSZ3dHYdaYvB8ys+jz63ge1TE0ytv5QtG7891DoBfvr5Ab5r2zSNVuunX/OSiy/fPjX78isvGjDeaBHrMC3o0eleiCZfGq3LJdKS2uqMpGxfmIoOLweU6SMVJyUpWYM2qFRCIx3D8TmHn33PGJ+8o2HBrUblSFWaZOytMjCLEqhFBuw1RkGMBpTptxll+Uripwz2C764AKhH3ihinJGBN2k2s9iJYQ0Gp6gbL9emiBEbUcg0CE3rf+zPW5AjDSYxuCS847UDHAU/954xjs+lCM0cFaOqX6Ts8ZW24zIpo2f3LJgvLwgZY1ezt6UDZLT9w1JxfuX/a+/L4+yoyrSfc05td7+9J53udCeddDYCBEJCkLAGGBXHZUA/EWf8fS4jLgOOH4zI+OGoM4LzU0fUUecbRgWd+RhAcYAZAXEBNECIGAwJhGydPXQnvdy+Wy3nfH9UnapTdW9nh4Dznd+v+9atqlu37qmn3nre533Pe1px539yrFxcxEUXzP1VKtt7Q7lSaejbhgdOJpfDhnU/L83qSW1ausj2+qZPgDEbjDqgxGvUqikPR95E2xQOTaPkqUjbVgBM4rQktNyUg1DPpyeEg2gCe8c03PTNPH70szTsMI0xCWoa/R0yqNOsiH3iLwbmeD2PGHZjFCZRO105DoiaJYeQgvgXVwncqCBHBPboAGqpBXXKEaIcJ6CPXAkAhcBPOKDhPlHwR3DmPwE8Cs0TuOLiKj7/0QlMa3H9PFehRjy5vwy5zKPtYRXXCLEy9dUNAkN28OfEqIiawiBix9V4HYzb2PIyx/oh7o1X9E0/eeCRUjaTaQB4gwWXF2a8NPqR9bv5WeMb+eka1bB8vo2lgx5q9aBIPgmSgoIrLDvLvxYkunIxitL4F8mE0oJLWhJo3cQv8ONqBP/8Hync81AKNmUKuCUdSdIUP8NNyoLqFNex8g9qpqDyxEk6iiTRP6rDGbfCAlOZ7OTaw/kuybzwCCPNrDqQLDnBRUBHAnBzLofQ0XAWBgQyoQhq+4H60iFHYM0FQDxAA8eVl1WxabuOW/8lC1eaYCDgH0x5I623UP5kwSESChIi2QeiyQ9PNodj6fxRLB10QGgK06fnf1+tj38kZRaadmFTgC887WJ86pZ/81xvibj/YReO58D74xGcMTDh16OmXpjWKq0LDx9/waVUZUJIXqs6lY3Alk8BEobgfXCDETzyawt3PZxGPayd1sxqR9QE0oOXMpW02mhipZPrkvLgFBw8+dmjjs9Pgf7QMje5wBLQ0bKSRqtYcC6In/ykWuvg9uWQTqZqxWkAbl9SlGK74EFNQi5gegLvurSKZ17Q8PDqFAS8OMhjkpJo8hdRltgjTf1xobUWCMslw7/ehDJQYmDFfBPvf6MFSkx09gwIQia8tllXHjnAAeCaq85DtVq7i5W3Ddq1g5lZ7a14eZQiZVVgBkV0fCtOAofTd1pkFriMtMVzwZVoJYnUkwjc8saJwE004IEnLNxwWx4btweBnJgTmQQ6CWVBTTqWCZWkIb+bNAd9DMSxvynGW/rB6WMDeEIxaQb2SE6UPBwRT1f3DXb0ebcS7SRJbdxXUnjA6f1lH1eEBE4rFVF0lHOcMtvGV66bwPUM+M8nUj4YmXrGNPpB8fhsokeVfgrlEwluhd6Ah0ZLowxteYqhXe144HEds/s6yxfMveQu3bCm7NYpr0bfzBli3+4Xb7vo3PkH5vURFHMaqnUNGhPIZmzkclVkc1WkLBsac0PeDTWnJJb+Kvm3BLWMSHqNwRwF3P/xeAqf+kYAbj0RhldBrqgmcevdWB02SqCK67GRQ5wAekLUjuUvo8nyMVjxhqzCZttVzq04YSJIAImNOOcEMY7O4+CO/1HEuDlkQlawTSZlcQphAwv6Hdz6sQlcvrIajC/zGoEZ4+IBUJPbJJ2JWe5gP+4A9TowWQcmq0DZBvE4MgZQKnFs3OYA1sCBZ57deFtL2/Qp2d6UFhwAZvYPolYp4eD+Z5FNldCSr6LuVPDoWg9lx//oghkO5nSL0IqThC4et9QRNZH6dtwxDaw5E4AG/McTKXz6m3k8v0WG4Js4lVCcShmSJ4hzbpV3y9zvpo6kQjckUJvQmGjbVCWSyVGBXA7mVhEeglehKnKQPcJt0WfDiGfwGYQqVzRjcaP1TqgrwUDiyCENrDsQsQUA1OY4ZZaDv/voBIQAHnwiBah0RWUjTStDBQnloM0pneBg3MG8vkks6PEjkyXbxLNb2nGgnEVrCug3U5g3OAfFYv6QfXtIgDNzep3VJz+8cLD17qKxMVOqTuL7j+j4wU87ILgO4nh4z+XD+PR7J/0+ULie1LuTzqUK5Miye9F7JiA0gv/6tYUbv57Hhu0GYEjerVrpJtY7oA4aIuut6t0NigkaQQ0FzBLIU1nqBKanJC6HBLf6nc02xri5j+SY/9VMSlQjm1BeY8PeVHCrjmjgHFIaitF+OTYROK4BP7cFFs9ycOvHJ8AF8F+/VkBOghuCRtHNMFwpqQhhihAhHdDoh1mai/dcVsLVb3JAbAZXVHHnQzb++aEObB7JYPkZM8qE0A/PnNldP2aAF9MHuNXav2Y4s3LiB/c+mfnRr9qxaWcOtmfCZAR1l+OHDwu8faWLeb06PE+DXwtDCcsDiOecRMEbXz70FMsNcEbw0GoL138tj43bJLiTVjohB9KImoTWG3IIlZowpSomiXGCTcAeH8wgsRbVA4/ArXCWxI1yNECP6QaqTChlPzVkL5WTQMrysS9ix/EDO2hqwaN0XOWPNKEvkBzdByoNeLngAtwWWNTv4O//wrfkj6y24CEAtgR5shMIfNALHvfaFU+eeMCcvhLevcqDJVrhQEdGd/DBN9WxcvE+/GR1C/7HO86ZmD6jb832HSMch2iHBLhudcKwzJFnXiRXbB35o19uGlqrF9MaCqZASueoexTLFxMU0hlMVnS/A5QhZUKCPJFvoobiCeWg4CDMn+Pl58+Y+Muv5vHiUNJyJ5xJqFFL6frFk6nUQp/xSGUzjVqRB5thVqErUPZJiifHI6QkwQ7lVQK9YR0Qs8oqV/dpihI0ikmHopGuBMEfqYapFaQI94enQWY+UYAKD9wWWNjn4KufmMDHXIJfrjEDkCfPNIbwoIOV51dgmAxCQJmG4YkCHniMYNn8PDyXwDRdZFN19HVUcOP7ljuZ1voV2db8SFvL1A7mYQGeTllYt2EIS0+ZvbtacbY+++ymedQtoS1HkU0R5NIUi2Z04OB4Bp5XhWXY0HUXGuSEnwgfOxEdUaw49XwABpb7kacsXPflPDYNGX50RpUDVYkJypgyBakycy2UBaEoKKSJxUYjYBtkwOADRFkZA/Bh0Hyozc0Uk6mQHpeIo4EQjTRGESSUaKYsnhneCCQ5aMJXWWR+EVHppvDriPuzqFHIMaDgACUe4AgMznTwjevHce2XC3j0KQXkISWRy7KT4xycESBFBbIakNU5WtIGNrw0DQYxkM94yKVdFDIM7W05tOWXbDUz83fXStuQys8+ZP8fVtPSNYp7H/zNkOM4H7z03EG0ZT1Ma2WY3m6gd5oBy9IxMWmiWjPguBoEp6GzE8//lhZbRHndECAGwDWCR9cE4N6hQ+gkyHFQgN0wiEFRUZSEqlAxQRN5EPJ+EHH60YR/h1Yb0fLhLDNJLBw2kJP8vARBCOxI71YdzySYI4dUuQmUs4rRkvB48ahnqKKE0U4am90tVFs4VfT2aDgcHGCw18E//OU4LlxWA/W4H5pEoIxwqZoo6ol8Da6NTvwaNRldoJASqNYFtu8V2PWyhj0jJvaMGIC5BNxzPziy55dDIq5PNm3a4XZYONiLcrmMdDq997HH9cftsa0rGakjn9NQyHDkUv5IGxlE8NMRkolU6p8vDRIiQHVgx6iG1c8a+Ox3ctg0ZEDoAS3BFJwbCScTkSwYs94SyFBf0fw1BH6jQ6la+KTZPy4q0iTgqaopcU7uW1sSgj4qTB9T2YikKqLBykc0BXFgEyUwFGaHUgjB/bLIyTA/SJB16F8KCj8CSsFBHIH5fQ5u++QEbv62wFO/M7HjgBal2jYMeyNhUEcGr8LhbRyoVDkOjDlwHA0TZcDtaAOs0x5v6V6217arMM30Ybv5iKISmUwG69at3dzRXrjtgnMXYUaHi64WDy05D5m0B9MIJlelUR6JOnKeKlVfSeBUUhPYtFfD576Zw198qYAXG8Ctht4Va04TDiaJO5OxHJMEiIHmII+BOcbLG0HYdHV4Y0RrY4U4D4d1NSclcRx1bcS3JZoRB3C4d+hGQ83Xb8hfCYNIUqFJbqPhnxzsArkOVLHgykAYG5jX6+DrN4zjMx+bwNwZDqJKnl5YFi755wkBJxiY7HCCmkNQrgmMT3p4edTG0O4K0i1zQbTsbb/97drNRwJu4AgsuGx9M3thWvk1ab10X9Ha9bbh/TtAGUPGcmCZDkzDha550IPSaeGsCtRttNwmsHmPhs99K497H0mh5tHIoUTSYktrTRSHMqppLe/SBu4dXGYJ8oapU1Rwq4OjVZArN0VDi5z+E95EYiEclJzYJ+aIJoM/wZvYYOWQiysae2jJBTioDOQrKk3Az2WYX9BgwLC/JwWNxiVzX2QgwdC3q99UhakDf/PNHLbs0QFDauokHuIHIAhBFRoMSmA4gM4EtJofOByf5Jg7ZxZ6egfu653Zt2Z0tHTEfXnEceWW1i5Q/vJQ35wzr626hfttnoKpu8ikHGRSdaTMOiyzBsOow9Bt6JoNxpwQ5GFQRwe27Dbw2W/lce/PUqiBBgMWFIcyRkeSFlsBPiLr3TRaqSofScVDceZj9CO2nTRY/jjCk/sfnQMaR/MUmxX+TeK3YYx3x26Kpnw9kgah0I5oBxIFElV+rnJ4ROUnVMvuvzLIeiuCE3g1wBQcV6yq4uaPlDB7huNz8jALURb6dACvDrg1uJ6NCQcYtQkmagRlm6BWF+hoTWOgr+3+ZcuWXbtj99hQb8/0Iwb4EVtwALCyfdiwfs2OnlnL1xM++RbN24B8po5CtoKUVYOp16BpDgh1w8ELIshUJxSgJsH2fRpu/lYO9zySRh0kGKwgrbO63AzcihUPVJqQvCh53jFeDdXRFDEgxmhJwqo3xWkiRk+m3HHKFY0AbthfTLGtMYoZU1jCweBKjkrIxxFlfSKecRhL7CIRsIlIWHEiKZH/XPSttf/9vgUXgewtyRoHdwRSGsc7L6kAROAzX89jaF/AyUH8IJIIssOJAxAbLjMxZpuoOcwvD+G5OGPxNJz/hjPWb1i/dseKs5cdDWSPDuAA0D1tGlK5nls1d+NsVDe/K5/ag237XNRtB5rmBfjz8xbyaY6BmS4snaDuEfx2nYFv3ZPG3Y+kYZOgqFzMKqu0hMWBrVITEjHeWApsCBMV7CLEpgr8JniNYKbydNK47ZDQPV7KMoXWLRdCYKvfE1CMENgEEZDDHUUIVv/zAa+XQCdEurKhfAhE28JUaOUpIjgNOz0iUBxcsGB+Jw7P9WAyjnetqgIc+Md7Mnj2BR11lyJleJjV6yKf5koWql+7fdJOYcfODIr97Zg+o++uJUsW37ppy66j7s5juhx7t/4EhjkzvW/31x+6+9GD537vpxbGR5nfyfAfQ8Jx0VJ08PkPT+C8ZXU8+CsLN387i7FJDY5Qo5MJvo0mVKThJohkQYPIKbcbR8yzYPxlWAKZRHNPstiriL8PlpNzWsr3/r4kLB2tzo+pvvdLJiOcIzNanyjFHHsfVRNjyhyi6mu81LQ6Ua5Askwei03JqM53pFQRI37VsmRNyFAwiKU0x1Od5RDD6L2aAi1CYYFSAYdQjE8yfObbWfznryysXFbH5z9cQmuegzsM4NJzItg/quMHD+exdvvAE9dd9d7LhvburVzzZ288aqwes71Zu+4peJ549C/+5v6LNu8eR8mjcPwJZMC5A7gVoFJFz7Q63rCkjkfXmBgZVYeYJfK3kQB0KAcSNGQLwn/RiO+bhpNHhSCPgzoCr4gmXpW8XV1HI+Crdb/DbSQCZwjeVwPgBKDMHzDdOK25AnDiTzqQnFdU3U5j4FcLKykjtYi/LT4QPBq1FU+cU5LnkAC/Ig0T6gWXnGB4nOFna0ysPL2Oni4X9qSFupOC4+oQgsB1NVRqBsA6QFre83MQevHsgRXHhNNjTF4GemYsRG/Pgqc/8I6l1ZULNFiUo8VkaE9pSBkWQEzM6fFw5UVVfPLqChb0ub7O2jA4QS2t1pjXrXJu9bYMR8ULpVAPgPgIHYEGpSThSE7lICblw6kswbEkWB2uNRVtRHyPWPYgFGdTKPsogSJxCMdTzeGPyYbK96iqSzgWN3RYlXqHgcPJufIXOKAiqDG+cZuGr/wgg3//uYXNuzR4no5yNYvxUh6TlQwcj+L3WzpRpZdW+/sWPT2rb9Ex9+VRc3DZutpzcOqVm979jpWCig2f+MXvt1jd+QwyhsBYnaBrTh03vHscF55eAUl5WL7Iwup1KXDpPNKoXmBkvYPLGxOhaQPIJZgZEs5hQilpUEBU+Y8cGtANSGsSmHmlmphiXSwNWa5XOHk8f8V3WFUOLl/Cya2IQvhl7orch0TH8Y8SDbuWH23mIMvBFr71DxzVYGpCRjk8T+DJDQbWv2DhpqEUHllt49orge6WAspVEynTQWthP3ZXumtn95z/D+Va6q9zOfOY+/Lwsc5DtM9/4W/F+9676PGqbbDRg2xFmpbZtFaG+b0MV19SxcpT69AZwDhHKsvxk1+nUa0HU4ioc+Ukgzcx3q0KziRc1BBQEhpVqIplDipUQ62Bom5LLhN1Wao0yrb4OhIkMZLgc0TZLpdJ+Dka/KnHSJ5bw8wSVFGBSNQd6pOq8XPRzGaxzwYyKmL7KxFeEoWHZOgcJPoeCfUIzyKhnZLQqQ0DTIF1l7swyjE6QfCF2/PYPpqCS7LYOVLE/gN5WDSLWj2Fuk1hZXrscdF/61Mbd3/+/GWnuseD0WO24LI9+puMnc1Nv+XsxcTevaP6uZTp0tkzCNpzGYxO2ChkgWzKRcYSoIwEoNYhZzkL58dOSGSy06LXyHzGBizE+llNqGoM3iB2lCNsZIrlV60l+qVZiD9cUPZV9wvpi0yfVQJBJNompcLk9/npF8mvlhZb3hbKwZRGqb8PA+AJDtdzUa4RCKqBminkUjrGRwWefZGgtwvo7izwlq5Znzv/1J6vjI+XbBxnO2YOLts1H7gC01tJdcXS+fdddN4S0dsp0NniF8aU00u7FLjnZymMjxmAZgDMBJgRTAYlObgallcjlc1RFXHuJvIf/EeptHCquKUejiS+Qt3npGD5OFoyqqmuT66Tv1taWrVX42F9tcaA3B4P84ffkxje5nkaXE+D42pwXR2uq8NxDBQLBH+yqgbDn8QeGgE45xgZc7Bjbx2tXaeIVH7efdt20eopZ/7JcffLcVtwAOjv64WZ7nipsz39kZ5O+1ui8hhtyZehay4YFRgbJ1i32YIrTIBZIMyARv0fBwQ1MkCCqv3ED6cpnX7IphDu+J5qbfL4kZTL0nDR1S2vN5A3/irE+HkETJ82hTku0nAjsurRumadonw27Cc1C1GO5/Q/5lEBxn2jlTY8nD7gIFdwcLAOVF2CneMUdS5w3rln8p6Zsz+ycMHcl4Z27TshfXHcFhwA5gzOh8kO2vMXnnn7rJ7xT27ar+OB1TU4roCpc/x+M8Pa5zPgRhqaZiCrERQ1gYImkGMCWSZgTGk1G12uQwEv4pSR9YrboMbXpLNJjuB7jrgdbc7sMX8PiVnqWPpsoueSDmuolhzqF8eeACJxRLmLD3KPUziuBtvRUXcM1GwDdcdE3TZRrVo4Y5GL0+bWAEfA0AVWLRvGJSsp9pbEJ89eftbtW4ZethcsWHBCuuWEWHAA6Jw+F6MHh7yWGe/ckm1bV9qz92e50uRudLaUsHaziTLPwTBMFHQgrXEYQXliT/hRTu4K2GHJAyW9rgm3mAozKk0RDZ9KWKQTieLm9PMEteO9Q5JEPLC+0por5+2/lzrJFIeRb0PHNJZ5HgO46zJ4QWk4jXG4OoMQBJbl4ow5NTz2nIuCRrFgWg+ufMeqUq7jrC179u/2Fp8y74T13gmx4OEPZFmMjrP7Lzz3nI++/fJLD6YzOWzZ6+J7j7TBZWm0mQItJkfB5MhZAnlLIGdwpDQ/UOPnDMtyYEqJAWlzDgEiktjeIBU2uV7Hi0nxClnnKW/KYzhSxMEj653MA5jK0h/qxOKVEvzJwmREk3MK29FRqZkoV02UqxbKVROVqoVyLQXbyeLdF7vo6ZhAIZ/D3IWXHuzuXfFRt+rcX8wdWRrskbYTZsEBoFhoAwB49tid+fnnaHt3jN56yzd4x/6DDNPSBAVTwNIETF348iENJiEqCVRsAl61AeIATA5IVYeqTd33IS1R3yOiiyTxOXICrbdQWKiYeqfG8z3kMU9gUylL+L1Eeac+6yJO3ryf1WhlskoCwHQXadMFgY7RCR2jJQue58uphu7B0DTYjgbPY2jPCfz9NQwj/NzhVRet/KtS1bmzp7frRP5yACcY4LIxo4gXto9+l2mXUiNd+2J39umOvOnB0v3aPaYOmDqBrvna8LR2F4usUThOGU+t17Br2ARMFgQeAoXleNy+ZuDGMRzySPYXxwHQw0iSZIr1zc9DCdwkzj/Uq4WIM5gjOXZoHNR8Fhem6WLPCMHq9RYmqwQ6LDCkQIjvh5kGg2l4qNl+AalsSsPFZy8dLs5cfiMw/l1CTjy4geMM9ByqfeMfbsWchec825YzhrNa7TzqTqQMnUBnBGmLIpdmKOY0dLToWL6Q4+pLRnHF+QcxrbWKdS8xjE/KhKzGqlXxHPB4gR8/CUs0BnRk4EQJcqjvG+umJAI9SKyDMmNYGFwJ5qAJ5qyPPiPzUki4D23yvVSZkz4WxAl+fnzKlUTJZ+U4QLQeTfaJfo+0wnI/oRwnPvNFbIJeZQA5ox4M3cGeUY4vfD+PW+/qwtMbC3DrJijR4HiaP9oneG7V6gwHxjUYmb6DmdzM60ujQ98ttB1dCuzRtBPKwZPt2g/+MXJG9Y6zTu39+Mrl/aWxqt+ZGYsin9XQVtTR00nRWmBwnRwMLYN3XOTgzSvK/iSMsZGJ4ohI75TsI6HSHDG3PRpzfCzW+xB0d0qDfpQPsnj+SXJF5CaKIzqwQCywTAR0y8ODqy386NEWlOsFWMTE+LiHPcMORkY5RksU5SoD5wSmMYmK11Ny6ayP79pH7+iZe8XR9thRtVeEoqht0YDGZ3dn7/rp03A7u/n37YNDViZloJjV0JoHWgv+qCBBOGyXIp0i6Cx6wVCmJh0epT0fuincO/kUPib+S+L7NORrh7kdAR8P8qiPqB1G92zcLI46GCUVE8m0hbIupDOHcSIIEU2O6x90/xhD3dNAdf9Y5RrH6IQbPCl0aIwgn/Ywb3B6TQy3fmDNC4V72wulQxbtORHtFQf4ivOuxCe++G/eAbft3lPmeB6psR9US/uslhzQmvdQzDnIpW1YhgtDc7FzP/DgU6mAgycTsaLu9oQ/tC+2solU0tTBPAzCJRDUpCMVFBLM4YxoSZlQ4PAATCo+sShs4vwTH4s50OFvPJz9JYkEK2mGp4oz+NuiuEJ8P7VshFfXcPnyGv7vIzVsetlD2dZQqhMYZZ/CyGlTZvbOqhEtd/WbLnfvO3top9fW/+dHiKJjb68oRZHtqze+G6v6S56uDfxo4WDPn56yoLfSVrDRXqyhJVdHNl1HNl0FoVU8tMbAs1vzgGEB1PCzDqcKASlpoLELRFSgRLl1R2y5pxjneOgPJbP5mu7ScJ5HcDbKjZqUQpsHXMghj5roifDOlE8eeW7BxFThPKfxc+KB3u15Gqp1E6fOEvijs8aRRRljdWCsSjFWJhge9zA8WkemML1CzWl/uuDMlT96/Bftrwq4gVfQyUy2H//4Htxw7eV409I1G2oY2NbZWluVT79sZawaMqkaUmYJ//oowc13dqHm5UF0E1GOijwKiZm6sJJVM4eTxl+l09ngbE35R5B0QFVHk6CJcxk6kU3eJ53MpAMsz08ZYEFDR1LEMh0pPcxvofAnGmjmgIa/Q2rZitOtfJ8cudMwDU14CXwL7gkNnqeBQMPyhTWMTrp4fmsKdWGAewIVh6Bv5ozx/p7uP7/l9nV3dWY0vPktryzvPikAB4Af/PDf8bYrPoyzTq+uz+WKe7K5zvMcu5TOp17Gfb/h+Kvbu1F3W5CxdFiM+jOBqbxAfS77S03m3kmUTW4CpqmAARUIEsxQwR2AWVkm8Ef3+GmsqmJyZABvdp6qehJ7Dc9fVYkiNUiOBoqpHzTx+4KOk+mwMVCHx5X1IwNgh+D2l+WzgHMGx9FhOyZqtglD03D+aVXsHHHxu00p9He34g3nLjlQmDbjul217A9XLc7iQ++/6tWE3CvPwZPtzDf8KQCgWhm7wyS6JrSf37J/5w87vvcwoKGA6QXAYh4cTrBnkqJeFwB1gysirXlQvoD486PL8sCxdNkEb1QfzEmnM9nCEIiSeKR+SCQOEM56FjiZsgbJEbfg5ETifcxJDkEaTMst9w5vRvXslUMHOSZqjXESDEyWsz+ENVMU3i0PTZWIJZVjLoMcfFPzMO5YGJ/MwHUpdM1FMWfiqgtK2LZLw1VvP3/46ret+JRtu3e0tRdfTZiF7VUHuGypdBFCjP1LR+955Ldb3C/a9uqOOS0lFDMUGvPBMr2zhrJTxsYhiom6CTDJxzlAKDxBwhm5ohYv7CNH1ydb0pmLpZgSBfzJbDwipwTxbyChhsBl8OQYE1NiGjUSlleduxMC4XSMiLbFM59I4AhHP1Gu939DFOwJpz1RnA7/u+ODjhEEdjTmoWq72DhkoVS2ILwcCCgY9XBgzEDvtFbc8qkLh/tmnXvjeFX8S09X8VXHl2wnDeAAQEgRW/fYt88euMy94X8Wvvr0k0+07N0/AkYJutoYlp9aRS43ghu+aWHdUGsAcB6iTVAGV5BgWnHE6IRawi1JTZp5h6qEFgkNsoxC5MyG1lxEy7H8MMUaq0V5VPzE0gpCQDeJ5wfrw2QFEr8J1P1UFYUknFH1oLJuil/rRM6/o4zEUY5Bg8HHLKhI5v8WAl3z8NI+gb/+bgvyRgHnzLfQ2QLomkAq043+hctH5w8suZ5S5/uEHHoGhle6nVSAA8DsbgPcs+/saT3zoFsbHjgw1velTRuf1Wd2Uczs0JDNakgZBKA6CNUhHNevhEQJoJvgRIMXCNENnLYZ10ajeiFzn9XsDFXWDsFJov1V+RDAlMqJSOzUzF8O30M9z0YnUQI32k+ZHj34AnWQNZqdU/B04fB1Vkpl/W8CTghE4In6s21wMObC0h0wxmE7Buq2Bk/3ULE5dgxn0aoxbMvZgGA479wlTrlm3VDsWr7F8VIPWuxVdfGatpMOcACgzOBPPvPC/QtOu8iYHN1WmT3D/Mfy6DpCqUuHxwmqIoNC2kDGAiyrDMpLmChreLmUh7CYX1NPWhwS1RBpADkANVFfLshhXOp6GUwSwh9wCxIAQaEpDZVchRwlg4aHxCGbwqPjIFd4N6InU6zWuepQKvQGiePINFmhfCEP/wEEFJyKcBptOeO0ZdgYL9sYqxB4rgmT5WA7Fpgoo71gozaRQt01ef/cM0TXjIGPzZ3X/73y2E7bMk5MPvfxttcEwAHg7KXzsWtok93dMv3O4Sz/ZaU4eWVrxv7Cv/3oAF4ezWBeB9DbDlz1xjoWzS7juW0OPv3PFJv3WyAaDZUUjfr1Q5iiPEie2tAUfg0oFAVxWiGXo/GMiREy6iHDdepcOlNz8jiQEVloKGqJCmKo1huN1puIhptZ/bnyHImcVpDIkfAcxKNgNKgBLghMg2Nov4ebbm/B7za34pRehqtXZdDTaaOjVeCypRNY/fwczJ0z7X93d/fezYyunes3jNqLF702wA28hgAOAD19gwBQfen3d29atPLNt9z946pxoN56U3/rMJvZ6mFwpgGDdiBrcaxYOIwzByrYvCuoakX9ModakIarUWmF/GPLcHrTEDvifmbMiiPuWAKRFY9N3ScSdCRxrGZNpShxUDcOnpYyYBzcTfYlEX9uiIQqo34if4CAK84opQwa4xCcwNA9/G4Lw1Pri3DcApwa8PuXDFRrGhjrxFWXFbxzlhb+9ovfec8txdafehdesPJkQ6ihvaYALtvcxVfia7ff7l37/o/fvHPPsPbzXzzxyR1b15sd+UkwKlCr62C6Flo9nQqYzP8zGKAxv+KTenHloxeK9UXgaEnjrt4MKhcXwuesNFZjO5IQI5oiPyNlN9mmzkVVLXVUEiK6OX0tW5nPU66njdy7WfBGPYN4AfwI7ISIYF7NoCQe5dB1Bjl/pqAaUgbguR72H/TQ1dEOo2VxffC0s798itV585YNDAMLP3ayYdO0vSYBDgDXvv/9ODg6AY2Km9765ovo/r2zV2zd+CDNpcgKSvZqw2Mc24ctGAZDRpMDKQBDC0qcSZMoZUTh16/mIYWQaJYQEWHFVP+BjXCKmXA5qMzEJW8NNOlkXW4VPPIlpnFD4cqKs9nMsYyCQFF9wRDwSsCncVnEnhDRje1PNuVxEj6VCPzje5wGVExA0zTU6gZ62h20FevYs89EJtfqmilr9bkXvJnPnTt7dbmKm+x6CYaZO9lwmbK9ZgEOAK0tocR04+b1P8HA4JKcTsb+ibjinQ/8bDN9cn0Gba1AVhdIG0DKEDC0oPxhADyPC3hyot3gYFyxtoC03HJu90YLDkhfTITF24mInE4qAMFFoKxETqYqFaotpqQAzUEtgSqjiLIuIYmDW1rphpxtWSQTUu8m8DyZqEbgeRReCHSEltvz/H0Z5RibtHDm4DjevaqO37zQz885feCeno70h555bqi0ZMnpJxseR9Re0wBX25xT3gpe21QiZvrjO7b3bD7gPX3KOcu8t21/aSsyOkXWorAMAkP3i19KcLsugeMF+gGXFszPRgyBHESCQjWFqDdDIigUiOYkMO1U0ZJlFLuBjyedzWQwB0mtPgJyVN2Wh2H5poMRoHw2KLjpF7/0Ae4FNWogKDgncD0Cx6VwPOKDGgCjDI7LfdDDA6MEheKZeOclmftWnnvBembN/Rr4ZOkNZ/SdbDgccXvdABwAqDUIACNrNuz6zHUfWNz39NqN2PB859te3PA86tUJpE0d6RQDJQSeJ2C7AjbhvtUKaIXHAccDXO5feEoENAG/XKICbhkPUjVxWW9S7kGIT1cICax4YNUphGK9JRcPj+SfiCINIgHu0JInKsX6lWOniFwiojiU+uWQZbVYAKCeD2wAIcDrDkXdpqi7PsgpAUzdRbUGgLWiu3UZ9OKc++bMXnhdvz05pKfbTjYEjrqR4z/EyWl7945A1/U5G17cemqtWrl2wwsvnrdj+2YwUoXGNExWPVRrHJUaR7XOUXcEqjYwUSWYqBM4HgEj/lwwRuCc6kxAY0pyFhppRliKmQEaI75yQ/1lJt8zorwn0DQarKPQNOIPuGaArvkOsSa/WwM0xv1jaAI642BMBOsiyyyb5NQEPoVhlENjHLrG/fmSNA8a86OQrsdQrpoolQ1UbQ112x9lU64xVGoEpbKA6zro6c5h0fwBzJg597FMxvpaW8es57jnbjbT7Sf7kh9Te11ZcLVNn94OAJuFEJsBrOfcmX7OWYu+Uxp9Yc6Ta9axiTKQzzB4XGCy6mf8pQxgpAKM1DxUHYa0TpHTfcBqwfTTqmMn4DuWXuCgEvgWWgti55QIcOInfXERt+LqzGnNRtsRxYLHs/5IlP8hC9ozEQKdUhGcR8Sf/SkAEebFkKCgvaE7MA0HlmmjbgM1u4hKPQ0eRDBrNsHoBKBrHmyPY0bfad6ypfM3p037z2cPnr0XwCZyxGP7XpvtdQtw2YILsGl8bHyTEN5lk+N0RmfPqff8+onVee7szqx+7iD2jQq05xlmdRt452Ul5At78Td3ZLFhqA2ADoMJWJCOlq+ly7kaPQE4LgkpjkYBwYLHfuAM8lAqREwuBKKgT+xhOVXkUuHeYaF7JqAxAV3j0DTP59bwFQ9uM3ieXyaNcgFoBFog9WmMwzQcFHOTeGFHHZ+9ox0tZgrLBnUM9NjobK1gZIxgtNyG0xbOKb91+YqJvQecK3pm9u3WNTr0ege2bK97gMtWKBbgee5Qobh0p3FgYtFb3oizx8re/2GFDa6ReaH1wHAl193OMLcbGOwT+MqHR/CX3ybYtKsTrkGAIMyvMcDQ/KlKuADqrkCpRuBwAi3Q2k2Zq8EBxgUEbQz48BDwCAMsqhFPqibNQu80UDYY8ymHqbvQdX/iXddlqDsp1G0GTxBo1L8DNebPd0OJQNq08cKOOj7xnTasfbENi6cz9LQK9M8AbDYNS5bOH1t+3uDkZM360MDA7CcH52XGAcEJocdyCV6T7Q8G4ADAmAYA3K3tHGVtXQ/Vh0qD3/nhd+t33vZP/+vJJ9e+N43tjpEqzd+6b7q1oHcYN77nIN7/5QIcbkIjPic2NALLkHVbKLo7HWwbLePJFy1kNA1FM6AANNLVI21dUpUo8tkswhkDNo0DOi4V+qqJJgFuuMik6jCNCp550cSuvWmYug5dF7B0P+bJmADnfpUp27XxuTvzWPdSG86Yl0HWQM3Ktr3QOq1fLFpysQGa+8qmdbd/v9j9LvHS9gm+YG72ZF/CE97+oAAe/iirF/Cl68pLW7dD07QvaRr70uxZ3cxIDfzj/hFzsIs8d24x+zwrZhhSgkBwBzplsHQCyyBIWwytBR0rFrtoaTmAW+8y8KvnOsGIBp1xGCyy0qrmLQM9XAaFQoriN6K8kpCOqElUUiFRFBEqoGkclukgnZrErzc4+Pt/LaDN0rB8AUVbEUAqKr6vMw7X02F7FlKpDrx15XzvfW+Z+UQNdFNpovoRQpjHqA5ollhwxjVoyZ/8rL9XDAsn+wRe6TZ3dj8Q2U+3Uh7/0Nx56RZNnPJ3u8bvNmZ3T3pd2cwZecs7szZ5AMKrwvMAShgyKcB2DczqTOPPLh3F77bmUKnkUTB9uZErXDuUFQXgCQHCEYI8HraP697qJFRJ2iuzB1kwYVTKdFCq1nHHw0Vs39OCaXMEJsoucmmKGnVQrQHtrWl05qaBmc5aR+z/7dlL5rE/uvAd9rz+rk+XKrXRttbCyb4kr2r7gwd4sqUzBQAYBXANANz1418AwHmea18Kr3IF9+rzhg+WsXXLFlgmBRE2bMeD4A4od4IhXP6xpDIipxgkNAC4BxAhQCmBJiLLLkOGqnLCqK+OMBbIksJ3aDUeKSJ+dQf/c67nwa66EI4NjzPoegbFgoH+WbNgexm0FK0XO1rNeyyTPSwEHrv+motxPa472d1+0tp/O4An27vefiEAPHbw4OhjAB4X3BvYuWeE79m7j/f1T5s1OJD7lJVej67pFRRbHNh7aoAnMOkASGmwdF/31jWfsjhuwMsZAaUCXIsKwcv8F98yB2M2mF+MlDEBzwPqNoEXTAuSMjk05oCIOipVgpIG6KkOLF40H8zK4bIVvdAxfks+O7ZtweIVVDPaqGFoWyDwUL5QPNld+5po/+0BLltrawsAPCTfl0vDoMwsViZ3rxaVKro6a877ruj9RIrgEpNxlKocP/3FWmheCW0tGnJphkrdw66XaxgZs5HSBVpzFBqjIMG0LH4tPwqPAZ4n4LoAMT1krDpSlodKPYOKncZkjYIyD7oBtLSk0NK1DLZrwdA9mEb9kZl99a/qqbS+/KxFGOjvfqxarY9N6+482V34mmx/GGLnq9Be3LYPAGZR4XYBgpfKLv7uG/fCKb2M2dN15LM6RsfLTlvvks9u3z95eYbWnektFNk0DctGWCaFrlFYhj/JKyVALuOhq7WCYt7Tba/9gZ8+uvmztmvqxRxHf3cZfT0ZTJt9FVxugRBQXSf7hcC2VLbnZHfJ66L9f4CfwPa9e38DStC1ftv+QgZV0d1CkUn5YU9CAMukYMyXISWPz6U9dLWW0VLghJl944DYn+tYdbJ/yh9M+3/xb4f47Etv2gAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNzoxNDozNiswMDowMIamj9QAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTc6MTQ6MzYrMDA6MDD3+zdoAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 174601000
{'hecke_orbit_code': 27021597797777954, 'n': 1, 'trace_an': 1}
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id: 174601001
{'hecke_orbit_code': 27021597797777954, 'n': 2, 'trace_an': 1}
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id: 174601002
{'hecke_orbit_code': 27021597797777954, 'n': 3, 'trace_an': 1}
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id: 174601003
{'hecke_orbit_code': 27021597797777954, 'n': 4, 'trace_an': 1}
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id: 174601004
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id: 174601981
{'hecke_orbit_code': 27021597797777954, 'n': 982, 'trace_an': -32}
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id: 174601982
{'hecke_orbit_code': 27021597797777954, 'n': 983, 'trace_an': 4}
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id: 174601983
{'hecke_orbit_code': 27021597797777954, 'n': 984, 'trace_an': -6}
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id: 174601984
{'hecke_orbit_code': 27021597797777954, 'n': 985, 'trace_an': 12}
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id: 174601985
{'hecke_orbit_code': 27021597797777954, 'n': 986, 'trace_an': -36}
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id: 174601986
{'hecke_orbit_code': 27021597797777954, 'n': 987, 'trace_an': 4}
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id: 174601987
{'hecke_orbit_code': 27021597797777954, 'n': 988, 'trace_an': 4}
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id: 174601988
{'hecke_orbit_code': 27021597797777954, 'n': 989, 'trace_an': 0}
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id: 174601989
{'hecke_orbit_code': 27021597797777954, 'n': 990, 'trace_an': -8}
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id: 174601990
{'hecke_orbit_code': 27021597797777954, 'n': 991, 'trace_an': 40}
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id: 174601991
{'hecke_orbit_code': 27021597797777954, 'n': 992, 'trace_an': -8}
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id: 174601992
{'hecke_orbit_code': 27021597797777954, 'n': 993, 'trace_an': -8}
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id: 174601993
{'hecke_orbit_code': 27021597797777954, 'n': 994, 'trace_an': 0}
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id: 174601994
{'hecke_orbit_code': 27021597797777954, 'n': 995, 'trace_an': 40}
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id: 174601995
{'hecke_orbit_code': 27021597797777954, 'n': 996, 'trace_an': 4}
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id: 174601996
{'hecke_orbit_code': 27021597797777954, 'n': 997, 'trace_an': 2}
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id: 174601997
{'hecke_orbit_code': 27021597797777954, 'n': 998, 'trace_an': 32}
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id: 174601998
{'hecke_orbit_code': 27021597797777954, 'n': 999, 'trace_an': 10}
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id: 174601999
{'hecke_orbit_code': 27021597797777954, 'n': 1000, 'trace_an': -12}