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mf_newforms • Show schema
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{'Nk2': 1848, 'analytic_conductor': 3.6890885733831538, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, 1], [11, 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': [462, 1, [155, 199, 211], [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, [0, 1]], [13, [-6, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915666382, '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': '462.2.a.d', 'level': 462, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '462.2.a.d', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/462/d'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '462.2.a', 'trace_display': [-1, 1, 0, -1], 'trace_hash': 2047086587960306487, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.977', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.064', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.911', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.260', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.704', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [1, -1, 1, 1, 0, -1, -1, -1, 1, 0, -1, 1, 6, 1, 0, 1, 4, -1, 6, 0, -1, 1, -4, -1, -5, -6, 1, -1, 6, 0, -2, -1, -1, -4, 0, 1, 10, -6, 6, 0, -4, 1, 8, -1, 0, 4, -6, 1, 1, 5, 4, 6, -10, -1, 0, 1, 6, -6, 0, 0, -2, 2, -1, 1, 0, 1, -4, 4, -4, 0, 16, -1, 12, -10, -5, 6, 1, -6, -16, 0, 1, 4, -2, -1, 0, -8, 6, 1, -6, 0, -6, -4, -2, 6, 0, -1, -6, -1, -1, -5, -14, -4, -14, -6, 0, 10, 8, 1, -14, 0, 10, -1, -2, -6, 0, 6, 6, 0, -4, 0, 1, 2, -4, -2, 0, 1, -16, -1, 8, 0, -22, -1, -6, 4, 0, -4, 22, 4, -14, 0, -6, -16, -6, 1, 0, -12, 1, 10, -6, 5, 0, -6, 4, -1, 0, 6, 12, 16, -10, 0, 4, -1, -4, -4, 0, 2, 12, 1, 23, 0, 6, 8, 6, -6, 5, -1, 0, 6, 4, 0, 8, 6, -2, 4, 0, 2, -4, -6, -1, 0, -12, 1, -6, 6, 0, 1, 6, 1, -14, 5, -4, 14, -6, 4, 0, 14, -4, 6, -6, 0, 8, -10, 16, -8, 0, -1, 2, 14, 12, 0, 24, -10, -26, 1, -5, 2, 18, 6, 8, 0, 1, -6, 22, -6, 0, 0, -16, 4, 8, 0, -20, -1, 1, -2, 0, 4, 36, 2, -2, 0, 0, -1, 4, 16, 0, 1, 10, -8, -10, 0, 6, 22, 0, 1, 0, 6, -6, -4, -24, 0, 12, 4, -6, -22, 5, -4, -6, 14, -2, 0, 14, 6, 18, 16, 0, 6, 4, -1, -1, 0, -6, 12, 14, -1, 0, -10, -1, 6, -24, -5, -8, 0, -14, 6, 0, -4, -30, 1, -14, 0, -18, -6, 6, -12, 0, -16, -18, 10, -6, 0, 8, -4, 24, 1, -30, 4, -14, 4, 6, 0, -4, -2, 10, -12, 0, -1, 22, -23, -2, 0, 2, -6, -1, -8, 0, -6, 16, 6, 26, -5, 6, 1, -6, 0, 0, -6, -4, -4, 8, 0, 17, -8, 1, -6, 0, 2, -2, -4, -4, 0, 10, -2, -10, 4, 0, 6, 36, 1, -20, 0, -16, 12, -34, -1, 0, 6, 8, -6, -30, 0, -16, -1, -22, -6, 0, -1, -4, 14, -6, -5, 30, 4, -12, -14, 0, 6, -10, -4, 16, 0, 22, -14, 0, 4, 0, -6, -14, 6, 4, 0, -10, -8, -6, 10, -20, -16, 2, 8, -6, 0, 40, 1, 26, -2, 0, -14, -24, -12, -20, 0, 1, -24, -4, 10, 0, 26, -6, -1, -34, 5, 4, -2, 0, -18, 0, -6, 10, -8, 4, 0, 2, -1, 16, 6, 0, -22, 28, 6, 4, 0, 12, 0, -8, 16, -30, -4, -10, -8, -24, 0, 60, 20, 4, 1, 0, -1, 20, 2, -4, 0, 12, -4, 24, -36, 0, -2, -16, 2, 36, 0, 12, 0, 12, 1, 0, -4, 23, -16, -16, 0, -12, -1, 6, -10, 0, 8, 6, 10, 6, 0, 2, -6, -6, -22, 5, 0, -8, -1, -7, 0, 0, -6, -24, 6, 0, 4, 4, 24, -1, 0, 30, -12, 8, -4, 0, 6, 12, 22, -2, -5, 36, 4, 16, 6, 0, -14, -2, 2, 48, 0, -4, -14, -22, -6, 0, -18, -1, -16, -42, 0, -28, -6, -12, -4, 20, 1, -34, 1, -6, 0, 2, 6, 10, -12, 0, -14, 24, 1, -12, 0, 6, 10, 20, 1, 0, -6, -14, 24, 0, 5, -32, 8, -4, 0, 0, 14, 24, -6, -6, 0, -36, 4, -26, 30, 0, -1, -30, 14, 4, 0, -4, 18, 6, 6, 25, -6, -6, 12, 40, 0, 4, 16, 8, 18, 0, -10, 6, 6, 16, 0, 26, -8, -24, 4, 0, -24, -34, -1, 0, 30, 2, -4, -6, 14, 0, -4, 12, -6, 16, 0, -32, 4, 24, 2, 0, -10, -24, 12, -26, 0, 2, 1, -26, -22, -5, 23, 30, 2, 6, 0, 18, -2, 36, 6, 0, 1, 8, 8, -60, 0, 0, 6, 1, -16, 0, -6, -16, -26, 22, 5, -46, -6, 60, -1, 0, 6, 14, 0, 26, 0, -16, 6, 8, 4, 0, 4, 8, -8, -50, 0, 14, -17, -20, 8, -30, -1, 22, 6, 1, 0, 32, -2, 6, 2, 0, 4, 4, 4, -52, 0, 36, -10, 16, 2, 0, 10, -2, -4, -8, 0, 28, -6, 0, -36, 0, -1, -14, 20, 4, 0, 8, 16, 14, -12, 0, 34, 0, 1, 16, 0, 10, -6, 20, -8, 10, 6, -10, 30, -24, 0, -16, 16, 6, 1, 0, 22, 22, 6, 0, 0, 2, 1, -12, 4, 0, -14, -20, 6, -24, 5, -6, -30, -12, -4, 0, 12, -24, 14, 18, 0, 18, -6, 12, 10, 0, 4, 48, -16, -6, 0, -38, -22, 28, 14, 5, 0, -12, -4, 24, 0, -6, 6, 4, 14, 0, -6, -2, -4, -42, 0, 7, 10, 14, 8, 0, 6, -1, -10, 18, 20, -40, 16, -42, -2, 0, -8, 24, 6, 0, 0, 4, -40, 12, -1, 0, -26, -1, 2, 16, 0, -24, 14, -6, 24, 0, 12, 18, 20, 14, 0, -50, -1, -28, 24, 0, 4, 24, -10, 16, 0, -1, -26, -36, 6, 0, 1, -24, 34, -12, -5, -40, -4, -8, 2, 0, 0, 20, 18, -14, 0, -12, 6, 2, -10, 0, 8, 22, -4, -8, 0, -30, -2, 96, 1, -50, -16, -14, -6, 10, 0, 6, 22, -18, -28, 0, -6, -12, -4, 6, 0, -18, -12, 16, 0, 0, 8, 12, -16, 72, 30, -18, 4, 18, 10, 0, 8, -6, 24, -22, 0, -27, -60, 8, -20, 0, -4, 24, -1, 24, 0, 20, 1, 14, -20, -30, -2, -46, 4, 6, 0, -14, -12, 10, 4, 0, -24, 6, 36, -32, 0, 16, 2, -4, 16, 0, -2, -46, -36, 10, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [1], [1], [0], [-1], [-1], [-1], [1], [0], [-1], [1], [6], [1], [0], [1], [4], [-1], [6], [0], [-1], [1], [-4], [-1], [-5], [-6], [1], [-1], [6], [0], [-2], [-1], [-1], [-4], [0], [1], [10], [-6], [6], [0], [-4], [1], [8], [-1], [0], [4], [-6], [1], [1], [5], [4], [6], [-10], [-1], [0], [1], [6], [-6], [0], [0], [-2], [2], [-1], [1], [0], [1], [-4], [4], [-4], [0], [16], [-1], [12], [-10], [-5], [6], [1], [-6], [-16], [0], [1], [4], [-2], [-1], [0], [-8], [6], [1], [-6], [0], [-6], [-4], [-2], [6], [0], [-1], [-6], [-1], [-1], [-5]], 'ap': [[-1], [1], [0], [-1], [-1], [6], [4], [6], [-4], [6], [-2], [10], [-4], [8], [-6], [-10], [0], [-2], [-4], [16], [12], [-16], [-2], [-6], [-6], [-14], [-14], [8], [-14], [-2], [-16], [-22], [22], [-14], [-6], [0], [12], [-4], [12], [6], [4], [8], [-12], [-6], [6], [-14], [8], [-26], [18], [8], [22], [8], [-20], [0], [10], [0], [-24], [12], [-6], [14], [18], [14], [-30], [-18], [6], [-18], [-4], [22], [16], [26], [-6], [8], [-2], [-10], [-20], [-34], [-30], [-4], [30], [16], [4], [-10], [40], [26], [-20], [-4], [-34], [10], [2], [16], [28], [-24], [20], [12], [36], [12], [-16], [2], [-6], [30], [12], [-2], [-22], [-42], [-28], [-34], [24], [20], [0], [-32], [24], [-26], [-30], [4], [4], [26], [-24], [-34], [-6], [16], [-32], [-26], [30], [36], [0], [-46], [26], [-50], [22], [6], [-52], [16], [28], [-14], [8], [16], [20], [22], [-20], [18], [18], [-38], [28], [-12], [24], [-42], [-42], [24], [0], [12], [18], [-50], [-28], [24], [20], [-12], [-8], [10], [-12], [-18], [12], [18], [24], [20], [-46], [10], [16], [-46]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 13510798915666382, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '462.2.a.d', 'level': 462, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [3, -1], [7, 1], [11, 1]], 1, 1], [[[2, 1], [3, 1], [7, -1], [11, -1]], 1, 1], [[[2, 1], [3, -1], [7, -1], [11, -1]], 2, 1], [[[2, -1], [3, -1], [7, 1], [11, -1]], 1, 1], [[[2, -1], [3, -1], [7, -1], [11, 1]], 1, 1], [[[2, -1], [3, 1], [7, -1], [11, 1]], 1, 1], [[[2, 1], [3, 1], [7, 1], [11, 1]], 1, 1], [[[2, 1], [3, 1], [7, 1], [11, -1]], 1, 1]], 'ALdims': [1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0], 'Nk2': 1848, 'analytic_conductor': 3.6890885733831538, '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': [462, 1, [155, 199, 211], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 89, 'dim': 9, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13], 'hecke_orbit_code': 33554894, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2], 'label': '462.2.a', 'level': 462, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 104, 'mf_new_dim': 9, 'num_forms': 8, 'plus_dim': 3, 'prim_orbit_index': 1, 'relative_dim': 9, 'sturm_bound': 192, 'trace_bound': 5, 'trace_display': [-3, 1, -2, 1], 'traces': [9, -3, 1, 9, -2, 1, 1, -3, 9, -2, 1, 1, 6, 1, 6, 9, -6, -3, 4, -2, 1, -3, -16, 1, 7, -18, 1, 1, -26, 6, 24, -3, 1, -6, -10, 9, 6, -4, 14, -2, -14, -3, 4, 1, -2, 0, 8, 1, 9, 3, 10, 6, -2, 1, 6, 1, 20, -2, -4, 6, -10, 0, 1, 9, 20, 1, 20, -6, 8, -2, -16, -3, -14, -18, -1, 4, 1, -2, -48, -2, 9, 18, -12, 1, 12, 4, -2, -3, -38, -2, -2, -16, -8, 0, -24, 1, -14, -3, 1, 7, -18, -6, -32, -18, 6, -10, -4, 1, 38, 6, 22, 1, 2, -12, 0, -26, 6, -20, -14, 6, 9, 30, -14, 24, -36, 1, 0, -3, -4, 20, -12, 1, -4, 4, 6, -6, -22, 8, -36, -10, 0, -16, 6, 9, 20, 18, 1, 6, -2, -33, -24, -4, -6, -7, -16, 14, 38, 16, -10, -2, -8, -3, 20, -14, -2, -20, 40, -3, -17, 12, 4, 4, 22, -2, 31, 1, -20, -30, 4, -2, -18, -2, 14, 0, 84, 8, 2, 8, 1, 40, -8, 1, 2, -38, -28, 9, 46, -3, -32, 3, 20, 38, -18, 10, -68, 56, -16, 6, -20, -2, 28, -2, -8, -36, 56, 1, -8, -18, 26, 6, 60, -10, 8, 1, 7, 26, 36, 20, 14, 64, 1, -2, -14, -18, -16, -4, 0, 10, -32, 6, -38, -3, 1, -10, -2, -30, 24, 0, -20, -36, 44, 1, 16, 32, -68, 9, 98, -4, -10, 20, -26, -4, 72, 1, 84, 4, 10, 20, 38, 6, 16, -6, 6, 34, 15, 8, -34, 68, 24, -2, 98, -16, 12, -16, -24, -2, 26, -3, -5, 20, -14, -14, -18, 1, -88, -18, 1, -26, 32, -1, -20, 40, -42, 4, -44, -6, -76, 1, 0, -16, 64, -2, -102, -42, -10, -48, 38, -10, 6, -2, -4, -8, 8, 9, -70, 36, -50, 18, 0, -2, -36, -12, 6, -40, -56, 1, 34, 27, -30, 12, 0, -4, 1, 4, -96, 30, -36, -2, -10, -17, 14, -3, 34, -4, 32, -38, 10, -12, 40, -2, 21, 46, 1, -2, -52, -34, -120, -16, -14, -44, -10, -8, 30, 2, 12, 0, 68, -3, 44, -24, -16, 40, -24, 1, -2, -22, 4, -14, -66, -28, 128, -3, -20, -26, 80, 1, -58, 56, 4, 7, 50, -12, -48, -18, -2, -2, 6, -6, 50, -68, 26, -32, 28, 0, -24, -18, -4, 20, -76, 6, -42, 28, 8, -10, -42, 24, 14, -4, -18, -72, -16, 1, 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-38, -1, -17, 78, 2, -30, 12, 60, -8, -68, 4, -100, 1, -2, 4, -76, 32, -92, 22, 1, 28, -40, -2, 100, -50, 106, 31, 6, -2, -40, 1, -16, -22, 54, -20, 22, 96, -48, -30, 32, 2, -28, 4, -16, -56, 40, -2, 0, -119, 82, -18, -102, 1, 0, -2, 9, 76, 40, 14, 214, -48, 6, 0, 36, 18, -84, 84, 72, 6, 40, 8, 20, -10, -12, 2, 12, 12, 48, 8, 60, -12, 80, 1, 54, -4, -8, 40, -46, 48, -18, -8, 12, 16, 72, 1, 26, 6, -30, 2, -66, 4, 56, -38, 6, 134, -120, -28, 0, -64, -2, 9, 116, 12, 100, 46, -8, 16, -46, -3, -124, -74, 4, -32, -26, 4, 32, 3, -38, -54, -6, 20, -16, -32, -66, 38, -94, -2, 76, -18, 16, -2, 56, 10, -144, -94, -2, -68, -98, -70, 168, 56, 31, -4, -36, -16, 38, 104, -10, 6, -6, 28, -16, -20, -8, 52, -128, -2, 31, 110, -38, 28, -110, 0, 1, -2, 44, -42, -32, -8, -50, 14, -24, -36, -30, -2, 92, 56, 2, -112, -24, 1, 4, -22, -77, -8, 0, -28, -40, -18, -14, 32, 12, 26, -42, -8, 38, 6, -62, -3, 4, 60, -56, -20, 104, -10, 32, -4, 1, 8, 0, 54, 168, 1, -80, 42, -144, 7, 28, -38, -28, 26, -28, 56, -52, 36, -18, 36, -8, 20, -20, -94, 36, 14, 20, -6, 8, 64, 20, 46, 96, 1, -70, -64, -32, -2, -30, 80, 4, -14, 24, -92, -20, -18, -94, -44, -6, -16, -74, -10, 64, -4, 6, 4, 132, 0, 44, -12, 30, 10, 82, -10, -176, -32, -34, 48, -54, 6, -71, -44, -4, -38, 60, 0, -104, -3, 88, -36, -116, 1, 52, -24, 50, -10, 2, 36, -6, -2, 38, -116, -80, -30, -28, -36, 16, 24, -96, 6, -112, 0, -4, -8, -32, -20, -34, 4, 22, -36], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 336836
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '462.2.a.d', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '462.2.a.d', 'target_level': 462, 'twist_class_label': '462.2.a.d', 'twist_class_level': 462, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 336837
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '462.2.a.d', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1386.2.a.j', 'target_level': 1386, 'twist_class_label': '462.2.a.d', 'twist_class_level': 462, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 336838
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '462.2.a.d', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '3234.2.a.b', 'target_level': 3234, 'twist_class_label': '462.2.a.d', 'twist_class_level': 462, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 336839
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '462.2.a.d', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3696.2.a.j', 'target_level': 3696, 'twist_class_label': '462.2.a.d', 'twist_class_level': 462, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 336840
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '462.2.a.d', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '5082.2.a.ba', 'target_level': 5082, 'twist_class_label': '462.2.a.d', 'twist_class_level': 462, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 336841
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '462.2.a.d', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '9702.2.a.bp', 'target_level': 9702, 'twist_class_label': '462.2.a.d', 'twist_class_level': 462, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 923875
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 2}
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id: 923876
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 3}
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id: 923877
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 5}
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id: 923878
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 7}
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id: 923879
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 11}
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id: 923880
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 13}
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id: 923881
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 17}
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id: 923882
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 19}
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id: 923883
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 23}
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id: 923884
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 29}
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id: 923885
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 31}
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id: 923886
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 37}
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id: 923887
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 41}
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id: 923888
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 43}
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id: 923889
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 47}
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id: 923890
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 53}
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id: 923891
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 59}
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id: 923892
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 61}
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id: 923893
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 67}
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id: 923894
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 71}
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id: 923895
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 73}
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id: 923896
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 79}
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id: 923897
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 83}
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id: 923898
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 89}
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id: 923899
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915666382, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '462.2.a.d', 'level': 462, 'portrait': 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RXUfIEkJggSmrWEds/n1AIMjY+xlgPbQzq9hPNLmqmGx77tMbu3dKnXhghpCUNBq1dlseUzVRN40uP8gs/Rc4KTczGnl2OCao/XvKjLm26FQE5y+FST0/OKCxlzL1qOLlluvnqRn3/3KtsnJzl5YZoLSzUWVzVLa5LVVkyrG9PuJbQ6MYmo4k/vMJfs3flnE83qe8Iobv/av3jHCw2Jb+nx1xrgrVabYRShpPzlBx8//pKf+6+flG960bGX/PSbz+v5lS2stBusdQLW2pqVtma1AyuthNVWxHIr4cIaHFsSzM6u8X//0DK3XFbjzPw05xfqnF/SzC9b5pZizi4mLHRiJqcHvPTaLi8+AL6sEqiA+ZUKF5Y0cyuC3hDi2FDxDfVKwtREjAFOzcW0u7Bni0e9OsRaAcKn2zfs3jpkeU2DdVJkrQvDGCyWlVbIjs0enb5CKIswQ5oVj93bBqz1BKfOaxKjmWlKGhVB4EEcC3pDydyK5MKyZX41JggG4MXcdlWXl1wtmG1WWV5tcmY+4PwSzC/FzK/EnFuBY8uWm69a4hd+aJWtk01Oz00zt1RlcdVnqSVZaSWsdSJanYRWz7LatVzoCM4vDfgP/3gYv/2O5n2V2b9rqs0r7pOYfxXjUas1XmioXPTx11aDf/mLn+TKq6/nZ3/mX/7Spz7ztf/jjz/ypUsPnly75OC5vnzZNWvs32EwiUrBJACBRQISECAsWlgCCedXKjxwRHHt/hUO7BpQq4CnJb6n8H1NvSqpeZJe1+PwyQpfetTn1MKQdhxx+MyQLTMrvPmlq1x7aYebD7Q4uRSz1BPUggHHz1ta7TrX7JOsDRIOnlQ0appnTsFl2y2DMGGQ+GgdMdWAQ2cClE7wZIz2oD+U3HKgR78nufbShHY/4dT5Bnu3Kuq1kLWhZfNkj9Vumz/7Kjx+IuHJEwP2bF/muivaTE2HvPG2Dt//Csv+rQ2SaJIT5yY4dtbjzJzh7ELE2YWEYwuC02sR11++yP/9Qx22TE5yZm6aueUaS2s+y23BatvQ6ka0ug7cK13LfFcxt2a48fIl3vOmZamQl5w6eX7vaju5tTa1pzrRnPzyxz/xF/zpn374hYbMho+/lgz+ex/8KEfOT6hbL1/5NxfmF/6vhx47rk6e7zPfVpxqw6U7F/mN98xz/d4ac8tTLLdqrLQD1tqeY/I2rLYTVtsxK52YpRacWRXo6oDbr17hXa8I2bu5zlq3ycJKlcUVn6WWYKVlWG4ZVjuGdt/QHlp6g5iZZsTuLQYQBJ7l7IKHkAF7Niv2brds39xjfnXIE0ca3HSZpVZd5emj0zTqIWHoMTNl6A/gyt0DPvTVSa7YFTMcWjZNSKKkT6MS8MzJAVWvzg2Xxzx5PGR+2WfHTMDebbB7a4hSEWeXwPcsQlj2bImZakg6/YBuz6Pd81hpK1bWYLllWGklLLUS5lqwPEjYvaPLu+5Y4vYDmorX5MJSk6XVCktrmuW2YK1lWOtErHUT1rqWlS7MdyRzrYSbL5/nl39ihX1bJ5hbnmRuqcb8ahP83cn0zMwvveV79/7Ckw9fSK6/5fteaOise/y1AvjhQ89RqVaqF86f3X3vA0+989SZC7+4uHABYwSrHctyB+Y6kpOthBv2LvBrP7nEdftqLKxOsrxWY7VTYbXtsZqCvNUxzu/txKy0LfMtwfmuBdHlbS9r8cZbDPu2VQjDGqutCmtdn1ZHsdoVdHqCwdASxpYkASUtgQfVwDLZtGyejtDegGMXQp46GmDiOq+/NUR7azxycIJLtsHnHox52TUBC60+Fa2Ik4jpKYgjD+3FLC/XeOmNbT53f4O92+DhI0M8arzuFkMs+jx1LOHE2Qpa+myZ0kzVBdVA4PsCJSA2EEaWQQidnmWta+j0DGs9w3LX0k8S9uzs8cYXt3jbS0IwDZbXJlhYqbLcSsmgBWudhFY3Zq3jwL3ag7mOYqGdcNNl8/zqexa5cledC8tTLK/VWW5VWF7T9IeGHdu3UJ/Y+q+bM1d/ZPeuHaeHg0F//2WXv9BQyh9/bQB++tQRZjfP+keeO/qjzx0++psPPPyYWFntysTAMLJ0+8Zpwp5grqs424540aUL/OqPLXPjZRWWVidZatVZbQe0Oj6rHc1aR9DqWFrdhLVOTKtrWO1aFjqCCy3D1GSP77q5w20HYvZsUTSrHu1OhcCTgCKMJcYIjIXeABCGqcaAI+csxobc+XCdYa/KpTt8br+2R2TWuPvRSW64zOPIXJfWapMXX9vjy48EbJm2HDxl+YdvbXPwZMCWacmXHlXcfqVipdfm+Jlpbrg85O6n+sTDGrdd5bN/14B+3OWLjyhIBMfOapo1jRbQ60uMFSTGEsWANGjf0Opa6o2IXduGvOTKHt91U8xMvcL8ygTLa1VW2+7crLYFrS60OjHtbsxa19DqGVZ6krmOYKmTcOsVC/ziTyxy7SUVFlenWGnVWW1XWOu4uGEQSsLIEpuK2bv/WnvJ3v0/tWff/g+uLC2GVx644oWGFPDXBOCLqwPZ6XXffOedn7j00m2V995736NedwCD0DIMDYNhQm9g6Aws7b6l1RPM9xRnWwm3HZjnl39iiZv2+ax1miyuNmh1K6x1fNa6mlZH0epBp2tp92La3SS/WRa7gsUuRMmQ6y7rs3U6oduzvOHFQy7ZaogTiZaWMIK7nqhweqHCtqmYp49VwNQ4sFNx4xWGoNLjkSM9FpfqXH1JnebkKvc/6fGiyyos99ZYXW2ydavlwYOKv/2qLg8d1Ozc7LHUbbG6Ms2NV/a4/+mE6eokV1/aZaHV4sFnJ6nqOjdfYbl89wBklydOCDZPR8wvRtz9hMcgUkgJibFcsi3ku14c0ukqtk8ZbrwMwrDGSqvGSitgrevR7ilaXUm7C+1eQrub0OkltHuGtZ5lpS851xa0+iG3X77I//PjK9x0WYW55UlW2zVa3YB216Pd03QHiv5Q0B9Ct5fQ6cZcde1N0fVXtP/lbS9711GlG58WompeaGy94JnMXq9HHIU/9MyTj//HuXMnp3W3R60isUIghHV3oAVrwVjjUvPWgkiQQvHQkS38q/d5vPX2FX7gVSvs3REyt9wk8KtUA59a4FGvajpVSaPvMVHX9AYJ3X7ClqGhP7R0BgErixXOnrGEseHcXEwQWEDgK4uWgl5fIfCIe5rrLxHs327ZvaPHMOnw+YcUh45O8dqbAm68cpU/+LzFFzUu2dHjyfsVOyYVm5o9KqpKGHksdKBe0ezcInj8UMiNl1d5xQ1L/P5n+vheg9fcavGCHl95MORzD9R59kSVfdtrXLItYXYqZO+miGsuSVDKoJUFLLUgYHYyIIw8Oj2fp494dAeaXl/RHUi6fegOLN2e++ydfkK3nxJGHxZ7irlVS22ixU+/YZHvvS3k2r11zi81aXWqtLsBnb5Ht6/oD6UD9wAn4yKIEvj6vQ95Iqr9x4npJ1f2XXrrP+v1+r9fq1X/9wX4cNADIX784NMP//LBJ+6a9k2HQSjxPAgMziHJjR6LTV8JLFJYlEjwleTpo5t47LkaR84v8NaXdHnJVQMmG01WWjXq7QrNvk+3p+mkF7s/0PSGmsHQMggNYWSJIkucuCOMfawBqQSeFlR8wWRDMNWArZsMO7f02DTV4guPwNcf85Bmgtfe5HH9gQ73PhsRDprcfr2g1e+zsFzntssNmyZ7VHXAIFYstiOUEVx/uabWGPLo4Qovv3GCF1/X4dHDCuwEN13l82NvWuHLj4d86aE6B09X2D2r2DpdZapRY6IB1QA8bVESjIWDJwRJIohiQRjDMHIAHAwT+kPDYGjoDQy9oaHbh/YQFruSxS4MzIBX37DCm1/S4m+9xhJFDeaWGrR7FTo937F2X9MdSHoDmYN7EBqGYUJiLL6GR5/qcX7+K9O3v8T8h1fe8TLd7fbeV6/X/vcD+KC/ihTmx04cue+XTxy+e/NUvZODWUoHZSFEeiiEECATpAAlXRZRKYunEipastSr8uGv7uQrj7V52TVrvPvVa1yzt8vMZI3ltRqdfkCv76XAVu4IBcNIEsWCOHZLvU3vIiUtWkPFh1rVMN2I2LG5R0yXI+ci/uzuCsfP1JkMqrzoKs1t17Z58LkWd36jya2XVdi9rceHvipQIqDZiFjrDjEWlIDZZo92x8fEVd78sgU+/Lka++crvPHWHmG0zN1PzRAlFW65ajNvfFGby3a1+MqjPZ48U+OJEz47pyXTTUEtEPieuwmlACEsxoIxlihOb9bIMowcEAch9EPoDASrQ8FKB4QecP3la7z7u9Z46VUJmxpVVlt11jpVun2fbt9Lga3o9iW9oaQ/zG4cwyBMCCNHEiaBXgKHjy1zZu7Oze2e+eXXfddL7fzi6vu3zE797wHwaOG9zK1eRmf+Uz/c7w/eu3z2uU0V3WHTpE8UQ5wykJICIVxXjBQCKaUDtQAlBVIatDJ4yuJrQ0ULVgeKldYUH72rzgNPd7n9ujXe/Zo1btjfYiapEscBvUGFbt+jP9SEkSKKJXEiSYzAWJGvDoFvqFViAj/E94acWx7ymYclR8/6nDg7hTIB+7f5XLlXcdOBNipY5KljDXZM1rh6H2ydXWWl3eSaHZLYWL7wUMCwJ5msx7zulgGfvjvi9FyDKy71uLA24JnjHru2THHd3kXufbLD/c8IhqHPgb3THNgVcGBnh2MXVjh6Dh46VOPI8To1LQi0pB5YKh5I6YIqa93NGicQxhAmgu5Q0B4I2hGEJsbYATdf1ubd39XmZdckbJsO6A8mWG5V6PQCugOfXgrsXqq3e4MSuMOEYcreYeTcJrcCQhTDhZVV/uAjX9386KH591Zq9fi/ve8v/+Brzy7zkV/74b+5AP/nv/o+9Oz78dpv/VsyOvVforX5yaoXMDNRYRBawkilh0QriVKglUApB3gllXutDEoleFrgewbfswSepeYnTFYEnaHHanuKj329yVefGLBlqsc772hxYNeAQb/L1Xstu7YqhpFHkigSI7EZuKXB0wmn5i0n5gRrfcOn7q1xbmkKG3pMVRTbZzR7tmr27YCr97cxconf/XSdlZUJbj2guXp/i688IRCxx+YpSb0W04t8pJVgJUr7tAaC+RXBVbbGHTd1uO/RKts3+dx69TR/901LfPBzHR46XKc78Fhea7B3e5UrtvW45fIO3/fyDudXVvjUvQHLvYBTFzzOnfPxlCMCgcBYS2IgMpYkNkzNRFx7VY/hMOLAriFvv2PI5gnFdCMgiipcWKzQ7fv0hx69gaY/zICd6u2hYDAklySDoSGMDMPIMoyM0+GxJUwgjKAfac6utnjw6IObdu3Z9l9uvX5L9JFfu/RPFo7/Bpv3/R9/8wD+U7/0Z+y/8fvE3/kZ8Y5tjad/7123P1W7ck8VqQxaW/yhxyD0GEYKL9RopdDKoqVEKYmSDuxaSXSqjT3P4OvEMbhnqUaWWmiZqCRMVQW9UNIJ65w4W+dX/2QaTIyIY266tsferSFxnAWuLokjhUAqgfZ8Dp/2OXi0Qr2iafiSTTXB7Ixk87Rm+6xiz7aEK/askYhl/uvHm5w6Pcmtl3scuCShH3f4xlMBk1WPmQnLZCOkVnVSyBhJa6BY6VqWWwmtbpWXXr3Gwwd7HDqtmGxWuOWqSX7izcv890/Ao0frdPuWtY5mfqXJ1k01Nk8N2DMz4F+8o0ez1uLJE3D4jMTzLEpZhDC4yNyxeRzDJVsTbr8mJok8ojjA2hqD0GNuyYG6P9QMQpXLt34oGKTgHoQwDAvWDkPjgB4VEijT/MNYMIigE0pWQsFaN2ZL57HJt9w8+3v/eW4x9ife/dG1MxU7ueun/uYA/N/82oc5sKOp7rn3T9524vTiH/zxg0uVJw82ee972ly6I8HXCV0d4HkJfugx1AZPa7xQ4mmFDh2j+1o6YGvh0uyeZOhJgjBhGFmqkXFsElqaMQwjwzCGMBYMIskwCYiSCoeO1nniECTW4qDtpI8nwVeu5qMRwNXboFmFibpkqqGYmdRsnobdW4dsm10jsiv8149PcOz4BDfuU+zbKdm/c5WvPRMzvzzBTXslU01Dxe8TyACrBHEiEdYSJyGr3Qrzyx43Hqhy/eUd7n20wpYpQa3S4MbLDT/9tmX+yycMz5xrsNY1rHUUi6uaTZN1pppVppoTNGsRs/WIPTeGBF6Mp2OUSpDCBRMWd1NFkWJhURPFiih2K+UwXTGHoWQYSYahZBBKhqFwAWooGKZWrTuvxfkdRtnhamuGkQN2PxK0Y8naEHr9kOt2L/Pv3zPPq668UGuv+X+QtD5uhvaKj5977oPJjst/9Dsf4P/hv/0pEw1fHT6z8PYLZ8///qHnTlWCxgRfeEjia8sv/HiLy3ckeLpGp5/g6QStPDxl8LTCCy1aKTxtGWqb1pAIBqEg8ARD30maYWiIIksYO00YxaUjgTixJIkhMTi9bcjBLQRuhZA4B0cLKoGgFkjqNcVETTI1Idg8HbNna49GfY2P3xdy91PTrC01uXa3Ys82j8t2DUjEGl94qEbd08xOKRq1AU8dw3Xc77L0horrLou4dr9l7kLC4qpPf1Dj9S/qcM+TfY6cU9SrksBvcs0+wy/88DJ3PdPn03dtYrlt2bM5YbWlmWwqJuoejZpHvWqpBIbANwQ6QSsntaR018BaXMLKCGIjiRNBHAuiWBLGgiiSDCPnvISRcJo6hGGUBZApsDPGDp3mHkYwiATDWNCPBJ1I0IkFraHBhANu2LXMv/3xZV57E6y1J2l1TlesN/FHwq/9yEDO/PnhJ/4kueL6v/WdDfDZJnIw7PzAhfNnf+vEsZOVLQ0PPRCs0OAvvyEJQ83339Hi7Xe02DQR0elX8HTA0EvwQo2nEzxP44cKXysCz7FN4KcXJT8UUQxhJJ2DEBe2X5wYksS5C4lNnZLULRFCuOBVCrQW+FoQ+JJKIKlXBc2aZbJh2DI9ZHaqQ2zX+Og9kg9+bobNlQrX7hbs3uZxyXbDnm2rfPwblpWVCge2Kqaa0KhFzJ+ULKwG+Hsd081OSCYn4cgJy2rbMLdU4bJLKrzqpg6f+XqFmQYEvo+Sk1yzX/CTb1zAkwv85b1TPHuuwpZ2xObJmIm6olFV1KqSaqAJfAg80No6kAuQogRy3I2dGEgSQZyQAh2ixMmMKEocKaSAjmJDGDuNnQWTwyi1IGPBMIZeJB2wQ+gPIppBh3d99yLveEWXV12vWG036PRq9IYVOstnKvjV37O6qq3w/xTHM9+ZAP/Qhz+JMckPH3ru+K+fO3O6OVVXdIY21bySVVHjiw9v5RvPVJhbXeIfvq3DdDOkGlRp9yp42sf3PPwwwdeawMuWVumC0Vg6cMcO5FHKSnHsEg9JGtUb4wIuY2zWw5mC2wFcKZHqegeQSgC1iqFRjZlsxMxO9tk0tcZ9h0L+6M4qh09McsmEx/6tsHOrz84tcMXuNr24zYMHm1SVx+yUYrIBk40hUxMxvq8Rwt1c/aHPSjtirWdpdWMWVn12b23w4gML3PlQj8PnmtSCCE/5CDHB/h2Kv/OaJW6+YoE/urPBg09PstzVbG7GTNZiahVJtaIIPEHgSTxP5EG6TD8j6T1trXWrVwr0ODHp6pZai7EhTgxh7EoAotjmK2IYO1dmEAuGkaAfQyeSdBLo9Q1J1Gem2uYffN8y/+IH+lT8CqutOt1+ld4goDfw6Q09VhbON4Oa91/37DvgP/7gZz54w61v+s4DeKfdQSr543/+sU/88tyF8zPVQLqTap1Xa61BIlmRFVoDxa9/xOPgsRXe/PIud1zfZsumIe1Olf7Qx/d8Al8TRtmhcoBHkSSMZWovpp52Qmr9kTK3TP9mCm6XpEyZG7RyCRPfs1R8Q7US06jETDWHbNvUZr7V4zc/5fGFh6dZWa1z6axg92bBjs0+OzcL9m4foP01Pny35viZOpdvkUw1JBP1BCmHnFu0BFoihUtehZFmz+Y2D5HQ7ilW25b5lSqX76zwfXe0+POv+JycD/B0hBAextaJYslNe1fZ84NtvvBojw99YZpHTtbZMSXYVE+oVxIqvpNtvudiFa1ILVaR12RYbJoVxjktiQN8BvI4cZLO+eiUgJ0mjxIHbMfa0IsMcTdk56Y2r7hpjbe8rMvrbrYo6iyt1BgMK/SGPr2BT3+Q2bOa5bkLM5Xmrve+/JXfo9rt9vuazeZ3DsCtXQHs3z3y7D2/vDz/3OZKoIgSCGNDJcmYFAQGKQRrwqcznOLDdwXc9VSbG69o84Ov7vPGF6+xaTKgNwjoD32iyCOMPcJI54FSHDsvO0oybSlJEkFiRKG1jSBXJdYxtxQuUeSSRQbfMwR+QjWIaVSHbJrs0o/6fOUpy599bYIHn55kyve4Zodl27Rky4zP9lnJzi0h+3as8uTJPp+6Z5YJpZmdEDTrgmYtotVL+Nw3KjR8ixAOWP2h5s23D/nsA64mptU1LKxqdm5u8NaXdHnwUIeDR3zqQZzmAzyMqTEIndb/O69qcfm2BT58V5v7n53k9GqVrU3BRMVS8w0VbfC91GKV7kaWWdl8CnWTSjVjihUuToHuCAKiRBAlBbAHsaAbC3oJLuYJQ+rVHu967So/8JoWN11u2Dzl0etVWe1UGAwDBkOPQegzSF2aMHTXqtcX3Pfgwc1LvZlfftkr7jBHTnc+cNnub3/jxLcV4MvLazx1coXnTokfOnT4K7927Om7ZxYWEycDJHhKEHsQ2Czt7i66loZAStpenbPtgPMP1HngqS5/fm2bt7+qx+tuHzAz6TMculqLMPaIIi93BOJEEceS2EiSpAC4sSlzm6KmTAibBpWujkNrg+8lBH5ENQhpVPsk9Pnyo5I/+eokT5+YQEQBl0xZtk1aNk0qZqd9tm6SbJ+N2L21zZnFDr/96TrxsMrOnYLJhqZZh2YtQngh7X6dyYZFCIG1EMWS6UARm5hO5NPpJay2FecWq1y1r8F7vmeN9/5pwKnFOlpF6Y2hieMKg1CydSbgpkvbXLuvyzOnzvFnX6ty5yOTnG9VqQeKhg91z+Jri6dAS5fOF2K0us4A1ribLjGCxLpEW2IcuMPEJYn6iaCfwCCxRHGMCUNmKj1e/+o13vnqDi+7JqZZ0URRnZW1CoPQJ4w8hqn1Owg1w1Cn8ZG7PkIIBr01nnnq85sv29f5tVtvfmls7TN/OBjsolr99s1P/LYCvNfrc+O+6bd8+ssP/fff/MO7mr7tsH9rBVLLyoEcrBZp0ZRACosW4ElLoAQdpelFTRaGFf7ygRp3P93jli91+Uff3+HK3W02TyqaUhNGPmHsEcc6B7kDtyQxEmMlri5L5Ol3x9wGpSxaGbSOCfwYT4W0+xGL7Yj//PEKJxamePTgJNb4zFQFmzdZNk0IZpqKmUmPLTOSrTMxO2Z7zEyu8oXHDI88O8m1OwVTDUmjJmnWDPVqiPCGBIFGK/f3rYUkkfSHmv4gIjaCTt/Q6VpW2h5zy01uu6LLi69a48NfqlBdUWgZOUBaTZz4hJGkP/TYNFnh5v1dbr60y0OvOM+pRckf3TnJwlqNs8sBvpLUPYGfyTDpAs+cyDOpgmPy2ApiA5ERDBMYxBAaC0kMcYRSQ3ZM9blmj7seL7oyoVnVRFGDVsdnGKXADj3CWBGmeY1hqPKSiCRdTX0Nu7dp9mxdI+h8cebs8cZ/n9ryktUk7n7q24nJbxvAz585yradW9Uf/fGHL3348UPNSdWlWvEIY5Mus6CUwLOpDsRVC+Y6OAZfQkVBXwm6nkc/1iyHNe58ZIL7nu1TD4b8yBta7JqJ2bO9z21Xd9DCtYgJ4eSKy0q6WmlXrJWCG4uQrkBrGFksMciYZ05IHj6k+cyDDZ453SCMazS0YrZqma5bpmrW+eBNzfSEZmZSsHU6Zvtsn22zq9z99JDf/cxmtk1qZpvQrCuadUGjFlMNhtz3nGIQary6A5W1gjCWVLTihsv7PPDUpCt86iestT2W1gLml6Z4zxvnObu0zAOPz+JJQEQYII51CiJJt6+ZalSYbNZ58eU9XnFtjx985SKHzhg++2CFBw9Vee54nVhohkNFL1IoIfMaH8gCzyw2MsTGYo3BEwkTfkiFiBff2GXvtgE7N0W8+3VDqr6iXtGEUY1Wx4E6inQqH1XqaOk8K509R2mshM3kIbR7DQ4eiVBnHmxObVq99Lve8A717MHDyVVXfnvqyb8tAH/6mWcxctJ/9NGHfzTwkl8nbrF1xnexXMYYRqCV0302pQ+RB3quJFUri5c4Jq8lMNCCfqLTo0Knk/BrH57CxhFbZgdctXvAzETM21/VZ/fmkCgSqd6WUGJuUv0ppUFIwcfuqvLksTpCa06dr3FuvkalqpgIBJN1S7NiaFagURVM1BTNhmKqoZmZhE2TMVtmBuzY3Caxa3zsnib9bp3LdlqaNUWjJmlUDY1KjOeFfOGBCsOexNvsukUziVKvKl5/S5+vP2boDiXdfkK7p1nraOaWa1y5t8HbX9bm0WdqnFppoKQBolQve0SJY8VBKOkONK2uT6Nao14dcuXOAbdeMeDMQouTF9bQXsITxzV//rUaQqWFa0KOXkRrAAPWEoUJe7bEvPNVfTY1E67YY9kyA0nsMQwbxLHrmopid8SxJkqcXIwiRRgroki6OCl2N3QUZwCHJF05bAytriIxis6FNS71ol9//LGHe5ddtu+Dx44cDPdfduVfD4Avzp+l2166/OSpM795z30PSa0cq8aJxRqLsRYjQSQp3oRNo3tQsdOIWlnH4okg0s6iqhpoJJYwEQyNYJh4DI1HbGCx2+RrTxosCZ98MEKIxF0k6y4SpGaJ8wLTikSJVIo40kij8bSkEcDeWUvdM9QCQy2AWiCoVyWNqqJZ00w0JFNNmJmImZ0asn22Q8Iq//kvKtz71Gb2z8BULWXvmqRRjalVQ+q1PtVqjUBJlEw1OE4ORJHHoC/oDxM6Q0V3YOj0jWuZq/ucnZ/gpVcN+el3zPMf/1xzei1ACIO1ESaxRLFHGEkGQ1ej3ehr6hWfWrVCLahRCSIa1ZCbLgvxvYgXXRbz7lf30CpOk0AGIeyoKE8lnTESISSBpwAXIC6vale3k2Qxj3t28tAVrEWxi4WyoD+KpAtUYxf8R0lWtZkG/2kCKnNrnn3mESmV/M12p3dPOBw+/e3A5v/fAP/TD/8Fy2tUV48/97b5C8dEo+aRGFfyqlRqQ1mLMWniQQqktO7nEmLpqs9cJtG6FqwEYpVG9Sb1s40gNpYo1YixkURWkhhNZIKUFezIe8uzlAK0EC5TqaBStVS0paISAg8CDRXfUg0EVV9Sq0pqFe0AXhdMNgzTzZiZySGbp7ts37zM737G8KE7t7BrUrGpYWjWFY2aol6DWjWhUY24sGw4diGg4rtVCrJKP8Eg1Ozdati6aUB74NMf2JTFJWsdTaNaoVGb5N2vXuD4hTl+71M70FJjMSQmceci1gxDRT90RVG9iqQ20FQDj2rgZpoEfozvJWnCLEFL1yghpUvni/QgX1lFCnJBy6RVlsbFNS6+KWKduPQcJ8I5WakMcYAXeXWo+54Ds7NuXVBrksy9EQyHgocfeVLceP3gbddcte/Y3V/9ZP8Vr/reFxbgB/YF/urays+ePrHws8PhUFYr0pW9xpbYWFQKWgdwi0yBriTEQqBSoLukg3v2UqsqSe0rd1gS6zJwSZassGCsyAOlsuYG0kye+3taGrTEySDlHB1PW+cba0ElkFR8STVQVCuKRlXSqFkm6gmTjZjp5pBNUz12b1nmweeGfPiu7UxVArY0DM2acOCuSuoVQ70S06gNefAwPHGoxqWzNtW9Rdq8P1S86ArLZbv7PPT0JL2hpT9I6PZ1CnKPWqVKtTLJu16+whPPLfDAwa1gFca4BoM4tsSRzetJ+kNNbWCpVhQV3xD4HoGfEGiD1gmediXGShm3BYt01wRhEeV2kjw4F+n5zUDuGiry10akIBc5qLPXSWoxxvnX2fV1r/PrmpdRZNbkQJ46PfdvemHF9/zaLwHhCwZwazsyCvv/7t4vf+ifefaCP1H3iaIMWAKVCBLpgG6S9ISalL2TDPy43zMWbbI72n1t0hPhbKwi1e6sP/LkTSnzPrLiZqnqLJBVMs1YKkpFWy77F/iKSqCoBoJaVdCoWpq1hIl6zGRjyMxEn+2zqzxwuM+/+/0tnD47yb5NhskaNKuKelVRr0C9klCtRPjegNbAoqTCUxYpi3eWASOKfZrViF5s6A3d/jy9QUKnJ2lVFbVOQCVocMnWiF/40Rb/9g8k3zi4BYvCWEOSGOIkTlPpikGo6AeS6lBR8SWBbwl8RaANnuf8fq1sWm6cXodUpuTtgaWHSeMYYwpWz+rmEyMweb7BOUNxBt5EuBU3KcBcfp0BOzE2/X1XThHHhii2PPb0aX9ny/+Xf+8nf8SbWx78660zlf/pdP7/NMCPne1y7Kz5pfb8Z/9JTT1TmZ2qsdo29IRARI6tEuk+mDQCkwJdGUsiLUbZ9AM6/Z3koLYFqJNMpzlw52ydloFmB2MAT2V3EcSmTRKuvpyi3Fa7mhbfU1QCN5KhGljqFUOjltCsRUw0QqabfbbPrvHAoR7/9oObOHx6mj3TzmFpVCX1mnTsXbXUKgm1SkSUhPzxlxpIpfCkRYnCJjRWpMu6x9957SpffCSkEwb0UoB3+4pOV9EKNBU/IPCaXLEr5hd/bJmf/6Dg/qe3YKwkMS6tHsWu0GwYGoYVV+4aBIKKJwh8l9n0tc0ztloZpHIrpxQWkT2XGcJmICdn9GzCgMlep4VrSZpMSxKR17lkRW3rQV1emdPrnViixH2GQWho9+ArD56o7D3wxX/6kz/4WmHtyr8SYvr/XYDf9/gxrDUvPnbo/uobr23j6VqaFUxBJ0TOntmHViaVF8oWxU/Kps6Aey7XjWTtV1myJmNsk1J2mbmzRwZwKUBINz9Elthb66zuROJ50tVv+IJK4Gae1IKEetWBu1kPmWz2mZ1s8eChHv/uA9M8c2oTO6cEM/WSNKlo6hVXv1KtxFSDEM8bcm55Ck8JlDSpLVcEmUkiiWPFtilLHEe0owr9tA2sP0joDCTVnqLie/heBU9PcGBnzC/+3UV+7v3wwLObSYx0AE8sUZykTG4YBoZKKBn4KpdgngeedhLN1alYtHSxkiMCmxdmjWHcyRWyVVPkpGNtBm73/SSBxIp85c0OU2Ls7JomSXHNXfeRI8AkJbjeoEd38ctVO9j5Yjvu+PyvBvhH/+KzHNg+qP2T//AZv9dWTNhZNjUUxjhwaeVOjxQCaUAaJxGyO96kjJ5YUQpCwWZAz7627vWIHEmXTXuR9yZFUUQlpQtqM3Ar6WZtF/IEKh4EvqFasVQDp59r1YhmLWSy3mfTVItHjgz4+fdN8dSpWbZPKmbrhomqoFGR1CqKWlVQrbibw6X6Qx44KOgOfCqKNF3uVrWsCSExgijW1CuK267u8OAzTXqRkyn9YUKvr+gEisBX+J6f6udJrtxl+JWfWOBnfgfuP7iZyEgiY9Jm6aIBYehLAt849vaKOnqtsoNUphQyTqZZ3o1BTm7xFtfDWX42Y/N8tS0BOyOrFNxlInNHxujOcZMS6lXJy67xuWV/j+PPfNzv6B+rPfnIF3vX3fy6//UAP3niDHt275z80Ec+9tsHZqOXD+qS1bUKGlemmbGBxoFYGlAlWyiTHzZb2pRjdZszgc1rVfJ6ifTZWpszN9aO6m7hCoqETMGdFhmpHOBpokk7JvM98D1DxU8LrIKEaiovGtUhE40+U402jx8d8vPvm+KJk5vZOqmZrRkmqlCvCOpVRa2qqOXsnVAJYhq1AXc/4bPWqjA1VaTJM8Bky3mUKDbPKF59fZe7HzauiyY0JZBLKp6k4mk87aN1FSkNV+6y/PJPLPAzv2O5//BmIqOJsgrAxOZMHkQyry70tUSnDSNaCpTOzg35+8tvQrL8hc2hniWExg9Tejb5NSQHb3Y9TYm48mdTIjDjrqdSgglfMN0IeOZolbmVxsu37T78/ttf/r1/7/z5M2vbt//VdoX7KwO8077Ac88t/kxv7ewPNIMusxMVKr7ApHDL2MBI6+5sWciKrPApfz3+vVzrZWydLoXYEoOUKIWiFDRLKDk9WdR4K1VUDGqFq8/QFs9zjcUV31DxE6qVmFolol4Z0qgNmJ5o8ehzQ372dzbx+PEtbJ702FxLmKjZFNwpe1ck1cCxfyWIqQUhsRnSCQOEkngZg+caXKQ3urPUosij7g9cuUBYYSoD+SCh5zsGD3zpOpx0tgGt5ZpLLO/9e/P8n79luP/QFiKjGSaCMDEpiwsqkSHwLL4n8LVJVy9Z6nOV6fkRuaSTpfgFCsCPxDpj4M5JKJOTtiQvS2RlTFly2tKqXPz72fUbhJYz84ozc23mWid/oDbxxLE4jn7ufymDz8+dY3J6+577v/qBa5WZY+ush8Bt4eFr0vLMInlQALTcVWJzMLvo3LH6OBvkUsSky6It/s38VGesXQ4qs+U27dBRaTCltcVTDti+tnn1YMVLUt0cUa0MmWr2mKh3eOBgzL/63U08dnwLsxOa2WrCRMXSSMFdrTg7MQN3NUio+DHNesjBk5a7Hq3jS4mnXGdNea+bbCWLEkVsNHfcFHHpvi7HTleZrbmJXoPQphO9UhbWCq291FZ13vXVe+BXfnKJn/sdwz3PzDKIqgwTSRhbarGTLIGHA7nOVi+T97ZKleQrnJKiBHBRAjnr9EoB8hLxjKy2ZYmZXfsS+E1m6zqglzPO0kKEwQ5c00ViDIutMwyiB6/9F//0J/acPXfu1M4dO779AL9wYZ6g2rzk2acf/k/LK+23CNtnsq6w1qQ1HunYAlnYTeOa2d3N5SCFgrlNYUtlvz/ulJTOMVmF8zpwC4tUmS3owKBVytrajZjwPEPgGQI/puLHVIKQWmXI9ESP1U6Prz8Nv/InW3ny6CY2peCerFoaVUG9InKv3DkvxrG37wBeDYaEScKgX6Gi3E0mM8Dk5yW13BJJHGun5fWQYWjpR6IEcIPvJ/iexvMkWimU9HKAI+C6vYJf+Xur/Nqfxtx/aIbzrSaDumQysTRiSyWdOBB4NvX+MyfF5uydSZUM4Pn7Td90Gee2fB0ygDMKdlMGfonQ8q9Hru2o1JQivfljy1AarIXBsEu323rLgw89lNxw3bX/dH5+7uSWLVu/vQDvrJ0iGlRuXZ4/9LaFC8eo17RLHY+9uTz9m39wUToJorRkidJdnwUuRbavDPDiMZKOyC+CG/eQ9VbavL7FVQ065tba4GmDn5fHOnAHfgru6S6Lq31++Y9rfOobsyx1p5idkMxWUnBXnO6upYFlNZDUApsyuNPelSAEQr76uM9q5DMTMFKPjSgv6U6Hh5GmGWhedWOPBw6HdKKAicikXewGf+hq1X0t80kDSnoI6RI0WDiwS/If/1Gbzz7Q55c+sIWzS1P0JzWTvqARG2oxBJEbvewrN9DIywJNKfIgOHsuB+r5jSkKgOdAL10nsCXJYkfIyWzwNTjQw+g1diuyzUnL/Uzy7LNH2LZl89ukqvxxv9c/+W1l8DjqonTtsvOnvv6Pbf9xNk9bkEmRObTlk2DzqrnRu1zkgYRj8exDi7ETIkonbRzgme4mf3Z1LTZ3AbISAGeDOWBr5cDt6QTfS/C9mIofEfgRjWofrXvc/UTC+z/X5DP3biY0TTY3BZsqTpY4CzDzyVV6iJS5y+wdofWQ+56dpBdqttVsesONM3gaaBpXv1HxFC++sk9sHMD7kWCQuSGhG7nm6cziVCkQXfYxLVtj06TgB17ZpRGc5wOf6/P1Z2eYi6r0KpJmbKlr60Cu0zhE2TQusSnIU2JI45esHktSsPj4joJlkINdT0xlcJe+b0uydfTfKK7ryHKBy3J+/mtPsmPPpf/4LW946WPtdu9Is/nNR8J9U4CHvaOcOXonfmVie3v58Cs8uchEs0qSmLwkdfQOtPl/s+8bK9IPK0buZIvY8HUBbDH2ybMTYMekic19XCVNCnCT1nyn4FauFiPwInw/ouKF1GoDfL/Hn9yp+dU/3MyxxWm8oMLWhmA6SGgGlnoA9bTDvhq4bGclTQi5+pUkXQmcPFlqJ3RDH18pfGnzAJOCC3IvOUnT22HsUfUGbJ3ss9Zr0I9EOm7NxQqel6Q2n0rtTpX710Xg6iof3/KyLi+6apFf+aMBH/rCLCtxnV7gUfckTe1qcAINviJvhtBZ0keS35BZFjg/1xsAfATspes2Aubya1syDMo3wtgNU5b8uR1pJBeWW9z30MFXDMN4+/JK68ijz57hpque31X5pgC3NmHPpbddsrb0zO8utJ8g8EGbOPez7Vg7WAbM0SVMjIG4HDSKsQ/8/BOds5SyswNtobtTve3mFpaYWyUO5F6Mr50kCfwhgdfn5HzM7322zifumeH4/BTNmsd0BaaChEZg09R7Bm6ZglvmSaFKqr0D3904zfqQj9+nOXKqSkUJlzHMHBQKlOcBt3U6PIo1B/bAm17U4f2fn6Fb0zQjyyCyBGEaNyiD1jKd7EUJ5F7pYrlVYfcmyb/62z2u3XuW3/nMNMfnJliJq/Q8TV0JainQfWndjZO6TAWL2zxYFyLdFKZsIY5jZOyLEU2efi/T3WxwA5QZvOzWjMg5AwbF175xiOuuv+p3X/tdL3/D8mrrm0qV5wV4GCZ4nmRt4Rs7+6tP7ffFAgQ1jAnz6jKbnlizDrAiB3z+uszYuRQpLjpcHOBCFPIkA3YhT9Jps2mNhZIZeyd4KnadO15MEAzx9ZBOEvKbH/X5wGe3cm55EqOqTE8opn3LhG+opcxdy9P3Mq1TSaVJ6p3n4PZd9nIYhRw5G9ANA6aC1MXJkk6ZK5FdZFuqSYk0zbpm784QFQzohA36vqCaziDxU3nlpRJFZ66HUBcJXhWzEz3e85Yeb7tjjg98ts3vfWyGpX6dvq5Q0YqaFlSVJYitY3PppIqWha2ZrYo5kzMqDzcmxBLoL8bmYz/LCrzM+P9Ddp6yljrF/IU2dz94aP9Evbrzza+58WQcx2h9cRg/L8BFchIrG7Oex0c7Kw96nieROsTkbWEZg6fP1s3eKL/pMoAdqEuZyDKT5zfB2HuAtNot02Y2DSrH2dvkMwuVdODWKsH3Iip+iO+FtAYh9z0p+ZM7m3zsnhkGSQPf95nxBZO+oe5baoGl5hfgrgSSIJAEqTRxiaHUmUgB7nsu83niguXrj9QII4+gbtcFmNkjs0izUtQwUnie5tUv6vDhL3c5fLZOv+JGMww9ix+DFxm80KRj7EQqI2Qx3CcDeOaxG0kt0GyZ7PN/vqvHlbuHfOjOBg8fnGCxX2egfDxPU9GCqoRApjZqZq/KNBMtGDnYCOgbuFyjQBfrQLsO7CWAFy5L+nmsKwGIErDS4/Nfe8L73u+68aPnF1auX1nrLj4fhp8X4P1ot1T9B24VvY9MTNSWiOKKK5XU0o1iSIdWFkDPGLwAuasbKX9AMfI1jGr4dTfZCMBLhUHCFOwtTWoHJg7gKsnliNYRrW7EvU8Lfv/zTe58dIKVVgNZrdCoKiY9S9M31DxLzbdUfVLWdsxdDSQVX1HxBRWftELPpOA2bmXwY5Qe8txZONequMRKqm9HEyc5gad9kGnJqXEDkLY0BZft6vPU6Zhe5KUj0cAPceBTSSpRskQNyLE6jezmyWzIKHH14e98dZ/X3bLKVx7r8AdfaPLwwSbLnRot6dP1Nb4S+FIQSNc6qKXbpU6JEqOLtOwXLqrLy2mKUUuRDVh6PfBNZimXwB1bQWxxvQBWsLAa8eu///mJf/7Dr731dbdf/XmeZ3jQ8wJc2+OBMeq32itzdVeBNsyBbbLeR1P0P+Z9kOOa+3lYvWz9jYA6/8KmFmRRnC9GgG3S5wQlE/zMzZARi52Yux/RfO7eBp/6+gQL7TqiUsFreDQ1THiuk6fqkcoOqPoiPWRacprqbl8QZOydAVzH+H5MxQ+xNuKrjwaculBl07TAk6Zo8BjrZseS1m+k5aaJoj/02LNF8Oobe3ziGyHdyKMfCSqexY8diw8jW1qlVO5XI+SITHGHLBoVjPPbq8GQd76yz3e9aJlP3tPhs/fWuPvJBgutGn3h0/c12lNoIfCkwJMST9hUalnnsFCSiCWAb6RYygDfmL1LORKbNUCXge2YO7YQ26zK1Fkwh44v1uNE/dajhy5cCfT/ygBfblv6pv+3eit3TU5XF9DKpO1GrqPDda0r1yVtZV4zbK0c0dfZMQ7ostbO07RjCM8sxxzU+bMDtkgBrnWCryMqlYjBMOHwOTh5XvFnX5rg8w83WVitg1dBNz1qStLwLA1tqHqWqgcVz4G74rmZhK7MVJYOkf7cpiA3Och9z7WnHTtveOpEAJ6XLvO2lKIXI1RXZqskbQ6IEzfO+Zq9Q67a2eXQuRr9iqAWC4LIMlSk1p4ZGSddWJCFVikCMxd0GqPS6QNujEO1OuSHXz/kzbet8cVHunzkyzVOnq9w6FyNcC0gDjQDrZFKunQ+uCm/acCZBaFKlPIRG5FT6bNCSXogRsCcATwhzWpTHhCVpDVIiWsWMAYSWDwT8shTT7Jp0/NbhRcF+OpaS4RR+NO//adHJvdvglsuj7j58ghfSqSSJJEiDF3DqLESa2SuxY2VIwCnpL3LTkK5kCcbyJOdliyYBBDCFKwtTArwhCBwk1TjJGFuGb70Nc2xs1XuerDKudUqx87XIQhQNU1FK+raUtfGuQieJdBucHzgkYI4O2R6qBTgpJo7BbeXEHiOvd2NFXJiEQ6erOHJUXswlygUiYt8Kc6bB2Ta5+hx1Z4+l23u8fTxmF7s0YgEQw1+OhNQlQAupUBIOcLklNnQlGRQkv6NRBElHkPPp1kN+TuvHfKya9ucW23z1Yd8jp8J+OKjNc4vV0j6HkZqIl8hXJo635TAraqikCwbsHnurmU33hibF4C3ab4kG62XmeUGbOz2RI8ThI6RMuaWA0NuuTTmxj1f3/T61/6zf/z3ByffqyuXbCh0Lwrw3/3jzxJGCR/8yy7JcBt7t3S5Zm+fV9w04Kq9MdsmI/ZfMkRb11xq01kkiVEjzO2YWuQBZqHNNva4c3BjRwJKJ0WcvvaChCixHD8jeOq44ksP1nj6hM+zJ6q0hwHDMADPRzU916GvoKYN1ZIPHOisTiMrm3V14UEqS3xf4fsyvQFsob29JB2673R+xY+wJmR+RTK0AVpLfOlmveQJk1ECz0Ge2NF+xzD2EGhmp0OkGtCNPHpaOKcjKgrGtDIjGUiZZ0aAbNgRIr0mmQwqeii9ROXjJ3pDn61TIbu3RNy0b0g/7PMjJ1o8fdLnSw9UeOpEheOnK0SxgkBhpcIIyUg2KIN4VqBVuqhZEii/2KN+cgFmUkCblK2tgcigSdh/yZAdUxEH9g6546aQay5J2DkrCaP5+urcPT8ghH7vX4nB3/u+z7K40lZfu/9p0RvAMGzwxAmPp47V+OKDIRNezO4dIddcMeS1LxryyhsjMK4MtVon1eASYd1o3oLFwdpsn42xPyrclXdgcEPxhbQIaYhCS2/gfnbyrORP7wzoRYrHn61w9EzAUtdnmPigfVAeqqnwpaCqoKYsFYUbZ6bSwiPlWNv3hEt6lMHtSfxUlgQ+BD6pa+JS5p42+F6cZkQjqpWQhdWEL93foNUJmJoQ6NSLlyUcjD+yjF4eEBrJcKjYNKN43W0Dvvhwn9OtOn1POpmiwYstXpR51qnHLhNnF1KedSLzv2GsLv0NB3Q/USRaEXuKKNFEkZdaqRF1P+Jl18S8+Mohb33FgOfOSJ446NEPFR/6Uo0Tcx4ISa+vSUKVpjslVhcAtyOtQaUPLLKlu8j8iBhEvnteQrXmEnICw6teMuS1Nw+4+oqQPdsTmp5gU8M1moehj7ARwjwogolbVG/hz+La5nd9awAXwOx08zcXV4fXDS3uKhuFMT6L/YjFTsKJ1Zj7n4756FciZqdirLHcePmQd75mQBK7PrvZScMN1wypVSwYsT4QWZefdaBo9QRPPKZZbruqvQcPenz6ngqDSDGIFBfmfIzQRNbDCA+0RgQaLSW+ElSlpaIsgYJAWQJlXQ24Tj1fXTC3n/Vl5uBWaY+myNnb9wy+nxVoJTl7+36EUiFfe0zxiW80UL52dtuI/r44g2deuNPhkihRDAYeb769z6fua/Ohr07QjSvUUx3uZTo8ypIyNu8WEiK7k7LzLEtavwRwk3bBa8fknlbEWqPjxAFdJSjlBulPVWJuvyLmtisirBjy9lf2GERunNtf3hPw0EGfaiBYaiueeMan3ZWIcU+UjS66K62tVyw3XB+yaTJxjS+J4R2vGXDDpTHWwuykYXoSJAqsT5Iouj1NnOh0wJPFo3WdUJO/aa14z7fE4HPLbbZMN5q/+j8+eYUnhaprQSIksXR3jlUe2ASTJAxNzHzbML+WAIbnziR8+mtuubGJYWIq4dbrIhoVgzHlZekit1XqOqx1FQ8/5dNuKaSWDI1kaLVjJqFxc4E1QmqklHhSUFHOyw2kwZclMMtiRp8DuSgaHrRrBMgaj8vgdgyfltV6GYMnpSMm0BHWhpxb8gmHFYIJiZ+mvVValTeSxRwrQstKFzJmTYwijDymGopdm0J8MaAfB/RjQVW7IZhZDUmW0FKyXN4q87+VrZYu+WNK5com7ZkspFEcJ2lSTKUlDjFRnKAiN2ZCqwSpYnZuMumKYbhy94DQ9pHa0GoJHn7KY63nZNNICeJFQG4M1CuGW6+LmJy02NjJ2IoUKJHZzx5xqDC5saHS96xSaQe9YaDqfnLF5r0/2DTxalvqqecH+JnzS8wvrr73gSdPvLLX6TLtKyLr5pGEUhBZTWy0a2jI2nCsA3hsDS1jgASUpb1mufA1U9DWRRvNRouPrZCYbMsF0mehiiBHSpRwM/cC6VLOvrTpFiQ2nX9SMF4Gbk+7jnq39R45uF1bl9sSJfAFviYvMXUMnrK4dnsCeTrG8yKCIOLMkuGPvlgH7eNJUQSYuTwR6xi8nK3LhoRmFy5JHMjf/bo+n7y7z7PzDbqJRy12m9K6KkBbdOKke/LkfytfDUuZZCNLBV7ZYfJaGK0VXpIQKZPusKHSxFlSWLAqyd0rmcZDWliETdhUs3z3Sw0Ik8dO5M8b6bPMaBDYxMdEIo8ZokQytEVMZ7Ihqkbl9nR2c7obto/fO/zKsHfyvdbG/+CbMvif/vmdKCn9M2cu5MkKP/MljfMmw9Rwj4wikQqDLiLgTFymwUPilTTX87K3KD3LtJnBRWpZtK4FeCJlZeGkgJaUnrOm2lIhkaY0B8WB3NdFV30BcJnLlsC3eUub75vS4JzY7SPkOfdEypBTc4LFdgWhNYFkRJ7I0sdKP+WIk1Aey1AEgoow9phpDtmztc+huSH9RDNIIEgEXmLx4lSHx+TOUpFZVKNkkd5QbtJu1tAtStLIoBNDoiRKZ9uXZ0yeDQkqA9ugRDYZy+RJt3KOApFGAcKyEcSLLPaoCWHKHn5mPRtJUsq3mETmhOCSi4Z2a47+kc/7bmOFbwLwUydPI4TAS3o0fTcmM5sll6R1AZUS2F2GSRBbQUKpKydl7XxQsl33ERmJuNOlPGM857eCFqCFTY8UtKkEyF7nz2mDgc5LQckbbH0lHNhHwC3ds58BPQs+ybcn9NMmiUyieNrpU9+PiIn47H1V5hereBMKP5Mm0o46KOMXuaTBixEMRdJnMHQTbN/4ki73PTmgHVfoaU01NoRpOl3JoiCqyDIais6hLNAUI40lxqQzVSwkyv1NbQSxEuhEprvYubKHDOijCTWbj32TwqQFX7YEdncLu7dR1A+NfHxbXHSX6U4t5vRc5MNT8xHYIs+9mLS8oWB2iHpA5xwbKYQRgP/mH36Jer360k9+5q4XRXFCxQND0U+ZWJvPlUtkViNQDFOMswRDCnBjRV6bclFxUgLAukQC5Fk0mWbSdF7xlg3tLIZ3ZqMQysDO56AoXD/iRgDPAs5Md+tMlthUb4/WkvtehO+FzLUMjx6tgvbRqTzRpQKlkWxfOchE5J0sWVtf5odnnngUedx46ZCZyT6t1Rq9WFFT4MXus6gkHZ4UlQGe5gzyPyTXV3EaWwBFGRIj8IwgUZJEGRIliFOQx7IoXpOpM5RVa8oU4ELakSzzyKSsshQXowUrecnG2Gtji/KPLHlYyBE5MmUrA7iUMVOTvGjnvle8dOXcJ++d3lGMexsBuCbERua7A53cIG1E4Ot0TJrIRwLkI9TSQTzu+7YAdKlMMstSfTOA507qCDDSNjhBqYSz0J5SZC1pRXGQUqRTarNZ5AKVd68UwM6abx17p5pbk+vtzBJ0jF2A20v1t9YRgojP3BNw39MNZKDxpXDzt/MKwuLzFJm+8WxmeTRaduFc8qw/8Ljt6j5velmH3/tMgzAJ6CaSSmIZxulKVV4xhEFImbJ4+U9djMnBaJmOcRAkyjgWz8CtBFrKdEBQwdw5yEdKJtLmixzoRYaTcoH3+Co2Upe0wci4HMRlUIu02C/7ucCaCL8qb2h34u82ibh3QwY/c+YczWb9dX/5ma/8bQZLTDdV3hw7OiNQ5N835W556zrrRzJ12aJx0SrB9BKUmE5QgKJcl5wBX5VmihdAJ2Vw8vEQWpZYPO2G8dQouN04hTHmTns2/bS9zdNZw0FcOiJCIj7y1SaJDVB59rIcYBZ9jZmzMaLB092I82E6RrpRaEkWbGoEHu98VY8//uyQNRPRTyr0E4EXk7O4lBYZi7TwzKR24bgWlSVrUpRALki063yPlcBThkS7VVonkkRapDIuXS+NC+4zQOdZ5fQ9wAjAKQH9Yo9y4i+vNM17cwsAjwC8NBcxs1fDWLHS7ZH48d++6rpX3bW0eOGLm2a3jQJckGCS6FJPDff7akizphhGNq0/sW7KazZuy4CRaSbOZg3EpZ48sn67i8uTPAwa6xiRjLLfeF1y0XmSfV3M9sj2pClvAT4y7CYFtlaicFJyO9B13LvGZJsydxFg6hJ7B17Io0clR85XsMpDSYkvDbp8U6Y2Ye4Qjrko2WFssY9Q4Vc7kEexx/7tEVft6/KN56pEyqcfCyrSDSjVsUiLoNIunDjV4UicOByXRWIsuC3YXKeMqIxNpUp6wyYinRQsR9jbMbccqcsfYXDx/DocMmOtxOAwUpVagLp0bpLS0E8jiSK3ye/C8hB/or9/b3946WAQfXEdg59bWCIIKnT7/ZQFwTPuQsWJQBjchy9NLFIZg8ti+Rstbi8StRsCvKTRykmRDOSZrpQlpi4kiyi65wV5p0vG5Nm+l+XtvzOAl4f/uG57cmDn2cqcuZN0u/A0uNQRlog//2qN5eUqItD40rk7alx/jweYIz54MVmgXMede9NGEUWaTdOSd7y6w6NHmwyTCj3lU02cFh8pZ41LpayY1BPPKj5SqTKmx/N5j6Vrqg0psLIVyTVvq2w6cM7iWYBZrvQsxwIFwEeL6FJfpUR84z0DBYNn7g/pVNssTkkHJ8WylENIiKI20fA8cThYL1H+z1/5GFZI/KTDVBpwaSXyNytTeSIT8olVxQhjOwbsUp3vRazQ/MKXK9JGwJ1mgUtgUSNDfYqZg461i2cH8nRcmx4FeDa/JQO3S/ikrJ2n4k36Ohk5tHKdO8+ego/e2WAofZRUafZydCbLeAZzQ6ssA/qIDk+ZK1HEiSZINO947YDf/3yPJ49XiZRHT0r8xKTukUAmZSKwaXtZOe9g0r81um9RmckLcGeTfrN4xyCTbMRE0T2V923KkhYv1+3nn91+S+dgfQVqeVVjBNjZc5xvNgZbZyQ7mo9jV55AJsXf0ADnzp1n+/ZttX/9//yPvQcPtdIt9tLZfsYiE5HP2XZzK9zXRlKSKCVpks26sM/P3tnSVdbfrpN7HORiRJ5kddb5uIPS+IPy1CatM6Cn2luNgTtL33tZY7JxM0PyFrE08aHj9IhQXsiRc5pO6IPSqTyxY+WxY59r3EUp6eHyxcxT6aac+NHUPcEVOwY8eSQkMQF941NJXM22TjW4Em6zVmezZqzpNtwtg9zJRpmvGtaATicbZBNjVTos063kMp/xXhR3ZXU2Rctgzt4ZwGU50Myu9Xo0jLcsGlteYciDzEyqxLlEIQe7tQ4jCysBqrJ/7y13/P3a4sLP9WY3b3UAn5ubp91uv/aaKzb/zPnTB1FSg3BLWJykbWGJGFl6jBB5kGnlaH2FLb3hDYPLcYkiii2ns/rpDCijwyGLBgJXLlp6LjG3LMmS8i7GniL1wh24HYCLoUAZg3t6jL2zvk4/ZKVj+G9/0WC5X0EEnpMnsuTulAf9fJOMdX6ujEh3XikzuHNU4ljTrGl+6vs6fOXRJstDn1Bq+lLi5z2U5ZvLunxCXktv8jJai0nBbbDIMWfF/VvGWpRxwbmxbnCqTnflyJqSR1k88/yLPtkM7BmB5eNEYJ0WL7csjt747jnJmLy092l5t4g4djdqP1S0upb6pm0/c/zYkXvDcPDJnMGPHTuM7/usLF1gqiERShPFhjhyWivKWCgpGMKIIkByzF3sAT/O3mWVMprYKbOdGFnW1wG8NC12BOBqdMimKoFaS4lOJYnOAZ5pbpMHlZ42JXAnrhNfjbK3pyJ8P+TPvurxzLEqSA8pJYEs2ZliVINnH/Ci1YQlNi/GEhcgj41rOYtjj2v293jLy9r8/ucrGB3Qlz6BFEXSZwxs40wuykw+JgdyqaJAWbcqGCtQxsViJo1zEimQ6TD/LJgWecIp7bySJQ2ekRfkPrgYAUGBlYzNN8rylmeRx6VdI9xW424r9ziGXj/EP3aWQaiIwrCQKJumfDzfp9/RtGbcFnC9oWEoEoiy5c1SjJkRJMIi0iDUWJDlQKGEapsHGWIE7fks6nGg5wAvs7go6dsywJ08kWVwS1kAPE/0ZAC3bk52KkU8VQK4Ws/cWjn29rSbWrXaMvzl1xostQKoeGPy5OISBTFWSZlf0A1su3InTipRolgz1VR8zyt7fOq+AcvdgFBp+olM7UlRtJTlDDrSTgIpe2ffMjmbF7MglU11uBJomzplptgdQ0rH7lJaB/aR8RKiADw2rSrMzoPNM6wiB7vIT0YuU6CU8GED+VZ0QEUxhJFkGEF/CIOhYa0VMTVr0++7f1OH3WfxatOXzJ988KeHyyfozlrWOhaEzFv2nS2Y1ewK53FagRHZ3VYMUBy3BcuXdoTJS/KknJ4vQC7WyRKRnWhRliei6HBJWVuVga2Kveh1xtxlYG8gT7QuJ3VitHKZyxMnBc+dqmAIENK5J1oUpQOjDspot0tG4+ValOJ8ldLU5U2f0uKiONFgNQf2hOzfNmD5UBWb+I7Fk9TzL7k4OagoF3plNUKylJ8wee1+Lg9kYf1msY1JpwVLKUjkqJuVr6x5YFnsf5qBOXsf7jQUKMj+m3G73eDGL4JNCv/bFHv+DEPoDwztXsRqx3DPo2epbrr8p19zx0sev/uhIyf1ybkYzx9uXV7qvy5JjrNr81asVQwjxWBYGuOV3qFWOpAb4wIJa0FchL3HH2Vwb8zeRcd2ma0LsI8Otc+fVcHgOvfBy0e6pbUqg7sAuValIUGqYG+Vfq11hFIRn/1GgyNLVfALeVJ2T8QYe3+z0uhRa3Usg1fqjE+MIgw1+zaFvPG2Hg89WwPjESdOi3tJOuQzGZVKuVTJL0hmG0qKwaiixJbZuGuBzQwEmR0i19/Z62wFz2KPwigQSGPzG3tEj7OxZMvORxng5fOTD/8Zy8YmiWUYJnR6CfNrkqXBHLMzvddtnWxt9eid1CfO+3h+wNKchxeGXLKlx2pHs9ySeRCZg7Fk5SGzJI5F2tKb+2YALzM3onRS3NcjfnguTUQO8nwmyAYMrsrgTucTFtt2sA7YXj63MCkFlyYFeezkiYqo1kK+cVjxya/V6Q98qGm0FHhiVJqMB5jlOGPDCwqj+nvMMiz74lGsmWho3nrHgM/f1+PBwz627tFPAnzhKimVSPMDpWCvYMxRkNuRldUUjo5KV27p9HgG8Jy5U0aX6dwUISCRTh4V1238Zk+lrRjDwEVAXqwwo+UF+TgSWyZBl3zs9A0XVgWNKcPerYbpaUvDt+hLt4Vob8CMtETLiolGm4mG28iol89oTkthU21ssqYokf7RMQtsI9Yuf6gRBs/kSQ4IsU7XyRzUo19nVqYugbsAeVY2a9HpuODiMKWRysXsQsfW7lDKBZi+HxKFCZ+/v8azp2vgeQipUlBlAWaxFYiQoyy+TpKlyC683zSHYNZ74Xn9c6rFw1Bz5e6Y17+kyxMnqwxjn0R69I3CTyjeS0kqFCJgFOR27L2gspvNYJRAZU6GFFjl5na7wiZSgBfSRKYbHeQ3lhm/ruMyZQN8lG76cvvmSG6llFdRaVMLVUFvIFntw+JQ0Fqsceh4wM7tgpU1iZbt3ydBM6XWqG7r84VH4P2frlMTITONtENjxMt0E0etKN7FxasNNmLv0QaAMsiz4DJj7zzYlOuBXh75q3LGzgBeTE7NJYrO5oSb1EkxKaBNCdgpe6fBpVYRgR/y9CnBF++r0ev7UPeQIqscLNfEbJDFLMmu8uXMalHcyRudrpszeLkhOS3ACiOPRiPk9bcP+dTdA544HoD2GRiJn2lxA1FStu1wO0yncoWkDPYC2Na6lS+XLtKxebaq5Mm1EtCzjLLI8iWCfMY4pCRFKcMqN1jJn+cxPqcwe2Qz4D0F9arl0l1DXnnrBd73eclf3jfDf//TB/jEV55kGBr0yTNdjNXUgi6Hzxve+6fbWF5qcGCbIVBQ8Z3VloEwX3bLVfzPB+yxmyPTZaP6W5SWthKws5MnSgyefp0By7koxfBInX6dMbfK54NnI4MzkJt8QGdxuGylVi6p43kRsU34zL1Vvv50FSoapGto9rM0eRnUjB3lLy5yAddlgLPm8txRkSNAHw48XnFNjze+tMczpyrEsYcVir7QeEnxfoQhzV1Y1r+NUSYvl1YoVbbq3IgKa7OtIEeBLtOaJGnKLkrJMiwxOZAyu123kj9/smBjTEnhLN+Kb2jWLJfu9PmX71pFmYQLyx6DbkiSJOivPT2kFgw5dFryqXt3oamxY8p1yxRzvEfnW4/fiRfj7PLPy3dtebB6pr1FSZJkm0jlOlyOBpl5oZWiBHRbYvIxSZKDu6S7S4Fl5pw4x8Q9KxXhexGPn5R89KsNwAfpIYTCE1mThS384BHmzi6qyM9Ewd2FXVp2VPKaEJsV+RtMIjAqK/hXefreWs07X9XnS/cPePiYmyQQGUUvEWnBV3p+sOlIiSzgG7XnykxeBnp28ymbMrpK5yDajMFFkdSyjH5+U66kTBm8lJ3Og8wyg38LbF6uTMzLR9IsahRL5pYbbJoS/NJPtvj604ucWawTeAn68/duRUpBfxCxye8zUTXUfLdx0bpdt8TYHXkRph5902JdsCXLq0HZOUmttZy5R6TJaMReLpnNJEm2bYnbnqMAd7a7b8banhp91pn+Vpn+jvG8mCiJuevBKk8drYLngdSlxobRC1tenjfS4OP8aUsv8gaIclA1UkHnelRdKa1mGHpcvX/AK251LN5PHIsPhc/AgE4yP1wgUkkihHWjo1gPcgfiMXBLsMrmWlxKk752MZe1ImfxgrnT82FHA0xpwKQnY9RRYT0JXgT0ZbnnmkUKjzyMJO2eT2wk9SDglssqvOhyHzDovZtcgNQfWFqBKTUGuBavLEMoS0vQSMAw8gbF+jdXjpxTy6rsEWeB68j2fxmLj6fpSzuWZbscZJKk6OYpwK1GAsqSFNHFeGWtEpQuATyVKL6OOHJB8AefbzCMPKh5qTwhb01TI5nDknMyslxdZJWzo0Avy5Rsc66La3FNPZD80Ot7fObrdQ6fczdfYhS9RLkqwyTNNqbgFkl67ikHne6Pl+05lGPu/D2lAaaybte8fEW16ZH53lakkmQ02JbCGZPZ+TEZ4YkNwL3udSGvsuSgW5AEpJo/igTgRggOQsWa8JCqhpA+YFG/8eu/sUV7+j+cPHnqQNWHqp/t6iXyTpjR/VtEzqAF2woKx6PExPnvu1EAo25I9u/K9CaSo572mCuSNzNkYNaMBZKkwC0FlrnvbXK5MlprUtr9IW1kyI5Ehvz+p2v88RcnIQhAVVBKU1OWqnJ73WSViV7W5Jy2xhWZ1PUZ1qKst7QC5bFEYTtm1XtCkjYdZCWq7rWwhl1bQ84tSR55yicWCoTCCoVr0LajUlCMEtMGnLluGS52qBmXMXZM0mxUR5LV2WwQa6T/r6F8Y4+vamkhVnm2ZYkQhEuTYyjqU6JYEUbO479k/w1bL73yJV/WFy6cnUzC7htqfkIQeOSpU1H4nBmoR05S+nrU187OkyhOX2mpytm6zOgl56TsbRbNDqNlqGrdLmqZ/i6lzEf0dwbubDsTm7N1ZgVmskSnzomnQ547L/nwV2ogNUjH3nnnfjkOKL9HGAMUI8yOEKMXkHEgFImXrPZClzKbxqbpe5Vq8UTzrlf3+MRdNQ6e9SEdqzY0Hlq4Mtr83CYpFJOSg5JJlILLKe+ZpFL5omz2DFaUpJTIgk33dzKr0KZyTaS/Uz4XhR1cOjeMYuibGRPuPbiGGyeRSjeAlQgbMTHbf0OYnJ/UE9WEZAJ2bPExVhNGhjgx+V3jimXGrT0x+ofLy0sG5jFwl/V3/v1yvUmm40pAV6XvF7unZfq7BO4xYJc3oCpkitPcKrUGVUmiOGAXIE9UzKfvrXPwSKG9pZDO+047aMa72sczmGLsXJS50Y68HmtAHvfEs3Y2k/YiyiyF76TKlZcOefNLuxz7cECYSBBu8lMfgaLkiyOQWKL8YhWtZaRsaFOd4jos3XvKkngqfZaieO0y2RYrXOYzA7Qc1+ElvJixc5Xf/IyCezwpVMafEe7mkakrk3VGxYmbp97rQXUqpjsM0ZfsSJipJ8Q9w8KaYrUlCKNsuz+bA3idb53/cTGyupX1pxy780ZukLFmhtEMZpm17UhwObpNYLEX5gjAZSm5IwvtnaXe8y1OSnPFlXKTaj0v4vgFxf/4eJOB9FIGHw0uR+eejG6ItWEEvsEjT1rky7otvRZslLpP8hkhisRo4sQjSGL+wdu6/MVdNY6d16AirNGE0qNvBCrJbjib7piW3V6CXH+rUXdHlfx55SLKtBgrBbO1OXNbmaX1ba7HjRQjAM/qUsr5jnWMPY6RsioorY7l30vSfzOrmQojWG0nnJ0P8ScjeolBV2stjFlhornKcst30XEaSFrEuj+0XpYUAB9n9ALYxe8Ugeo3A7YDjyp9PQJuyQiwMybXquSayPVet1JjrsmI9x3SDg2/96km5xYCUDq1BmU+YGi8qGpEmqxjp1F7dUOgU+jNDOijLkqWqs7mgpSaIaQiiTU7Zof8xFs6/Mof+LQiFxBYIxminG2YiBzk5WAzjdgKeZKtKKSeOMUNqLIbUGbl0ek1sQW4bclFsWlnkRRZkkYUpbSlc3Mxth4nTbPB75VlsckHqFkWBxFLwxg/jNAf/VqNsxcaPPpYwFU7IqaaCilkHgUz8g99K4Avvj+uQ8vHSM/iuqaGFNz513YDgKcyIZ1gVQZ4Gdwq/VrpgrUzNs9YW6UVg14Q8aHPBPzunzcZGs/JE6FyeZI1FauR95l9nnI9ezHp9fnofLwCc6OCfwdqizFmfQrfuK3AKzrmPW/v8twpnw982gMZAopESAYmdVOS7JpkpavlMmY7+qbKQZ10QM/ej0xZXcg0+yozQKegF+n3BCMaXIpSPkWUatU3AnyJILOvx3U5G3zP04Kr9glee9uQ3XuHVGoReiZQxDXF9qbbg9HdaaM73Bb/2PgkqvKysV6qbAjuMebOvdMSsAuw24uwd9FdUga2TAfV5OCWWUBp0DLJdbcqB5kqRkk3a3BlFf7iKzVWhxm4HcA9CX46Wauclh9936n+zi5IGdalC1EG8jjITUmuZAVY1pRGKGTBZqrFlVEY4zT3hJ/wttf0+MS9NZY7CmQERhGhGQoxWqdSBkpJkxfv0enwwi50Nedg85hBZnUqNpUpwrqNl0tAF3lc5aSNEKMlvKMBZDnDKUbenyifxg3YO7MQlbJEkWJpZYrm9CQN00TPTCqINTs3+1QqOve8xwloBOwb6u6Ng4J1QKcA9mhg6ZavYpBNKbgUqQee7ahWDizHtHe2Aax7naQ7IhSpeFU6isAywqvFfOZrFR58qoopaW8lZamwyo7Jk9KSWwZM6RjB0LpHSQeXEj7ju4ytqzK0ElXyxePEQ5uYF18T8qZbevzRZ31QIQiJFYKB0a68Ib0ByXMRdv17oRAt2Zu2pQoom8uUNBBNNfmIg2IzJ4X8RihvQ+imX4kRXBSkWMQJ63FVfGPkJsVJmMRA3BGstDWVKc2UUeippoJEsXXG1VkkSdY4vP5ajGB+7I+PvJGLgHpEopSK5As2tCWbcPS1yll8FNiy3FEzBm73utDe+RaDmTyR7gi8iGOnJX/wmQZzHd/tdy3doHclcF0zwmUHR2pP1h1iBPDj7D3+GEn0MC5Rys23qUyxJv86MSnIE4mSbvuTLfWEH35Tl3ufCjg2L0FEgMIgGQiJopxpzSKs9SAfYXKbjUROXRRZ2IaZmskcFGQK7HGg25JdWWJzEKX3kjJ3uhLkVDqCreK9jVn2ZDNfE2MZDGM2rcWgEvSmiYRAJgy3xXQGmlbXtQNlIN+IfUa0zxhrF3fiKNjHl6yNgF0GfuagZIxegJuLsPgG4FZlvV0Ct0zQMkYpN0RzmBh++8+afP3Rquttk9ppbynTrp1SY2+pB3FdgDnG5OPnqXwa12cwiyrDDDwj5bO2pL+tKYFckSSGWGpUrHnFTSE/+c42/+63fYaxdBkoI4mFR18U2UbHoHYk0FwH8swnBIo5gi6AlKmEsWnNklMwWWBpx4CeSpi8mM6OtixuhJv0DYh1YBt7KYrzGMWGTi9haTVky44Y5SXoer2DEmvMTq8QLs5irZ9LhXGG3ugfH18qLsbismSnjVqDdsQ1kSmYRKZ3S+CW4+6JtPnsvIuBO7cDc4uwFFzKGM+P+erDHp/4eo1h6EFVO+0tVc7e+TZ65QTUCIuXrNRSkssdF+lgKRc2pcBmvGzWZDo3/V4inPZOJEZmYM+CTteBX63FvO0Vfe78ep8vPaxARY5VjCQSmiGFoyIZ7/a5CJOnQJapt25T/xspcsAb4RJDwto80ZNp7xzwNgtyC6Yfza3YEQyRv79vBYPuPIex5UInZmmQUA0T9EfuEpybUzz+uOa6SwzbZiy+LqXjy//atypbRsC9HtjrwF1uGBAlpizJkrI0cTeBKdmD2RTU9eBWKkGm7J2BW6fg9r2Ita7lM/dWOXyh4qSJcFJN5IkdiglS5Rrri9ys5bLi59UnJfBQ8prLteFZQ0Q+6YnRWvGMxaVQyMQgpSYaaq7YGvGml3V58KBPK5QO4KR6HJfKVzAKbrse5FkzRi5R8uIsUjGfBp3p588Y1wqQ2OL7Wf2SLfo27Qg23M+KWE+kaqSkxceMnjLesmK8aqB58TWWH3xDm737V6nWPXRdBUzqgJkgQOHG0Yq0vrqcVi0Rz4aP9QGmXcfiZTYv3JPSkp9+r8gSmhGQb6TBs8mnjsXLsqWYaz2Sms+YW8cYEv7ws1V+9+NNrNDO906dE8feTp6MWJjpe80/T2anphdKZqy9jmrWs/dIQT+M6W9bclbIG5JtbhWadGCnwkiTy5Uo8ZDK8J639jh63uN3P6GJ4rTGwEgMgqGQZFvH5lpcWIQZR5IoJEr+E8fK+fu21jG6cLdLxtY2XSlsNgQ/I4ERoGeOiS2wJtzNPnL+TOk+HMedSLOquORhYjxa7Vm63U0IOYXeOauoSs1gNaDZ8KgGIi0iKv7oeAtRcYeP3u9QuinWSZRCgpQr8MrBpirr2wzMAidDRAncqrQ/vSzS8VKWdXehvXU5W5kGlp4fcXRO8om76nS7HlRVyt66YO+RcRCj4+VGfPzS5yx/45sleTI22vgoZTFluUYl3Vszq+YzAmkkUjotLoWbadioJ7z1jh6fv6fK0Qtp+hXH5rERDBAucDbptSsv9dmVzfoSU+5WOe4zqGels6kWxwFdSrAm0+GO8YWwuZsic7kC2RTawiMfdVBKts5IOW/2tUhvUmstDC0LK4rVVgBVn+kpH719c5WqF9BdUWgtRgK57KOOV4Nl3mhermLH2bu4u8oW4Dhri5I0GQ3eRgPKdRIlZetij/pxcKeATtlblr4nZYLSEcPIcOcDdb7yWBUClQaW2jknsmDvzD/OXJTxUtCLZSu/uTjZkNhHDkaclFLqPtv9wIhCixtJIhTSuCMaKl5zQ8hrXtznzOc8hkaCSKf4IIiFpm9KcUIJQmV3JYsP9EjgmQGtSNVjigC0YO+SJSjc78tMwqRdP8K6k5f56CMe+DgRkNWdZGxeUGwcC8LIMhgmRFHC5h0SFWj07t071qp+7/PDlvjeXj8uuq3TfyCbSWGy0WIlsJev5khwKYo7a1SzWsbtwRFg53o8HXavLEUtis3LRjOQZ0kdOWYFZmAvgB6ngWU6X9CP+frDPr/6wQkSq0F7acWgRsixoqrcGsw8cDsysH9dVlasv8mfj73LLJ6fd1saizeWvrcyBbZw+9fYTKoYiRHOG5dGE8duf6Gf/dE2h89q7n5IYvyCxa0RRCgGpM0RlnSrx4KdxzW5spZ0SK0LNkUGOgfy/HtpzYpMbUNbaoS26Sxxa0ROdpmZM6LFy+HByGpn81mYSSleyX7RGENkFMjq57dt27Gm3vTq2e6wN39MKX5SisjtcqAzPVsGbGGTjBTNlC9yuflWlo9SJWB5gH22W5jawCVRo5KksAUzt6TQ3ip3Sopak5HCqqwVTUVoFXF2VfCrfzDBvY/V3aY80s8BrqWbvx2USmPX1W6PHGmtvCKtaS+Ns5Clmnc13lc61rwhXLAkSueouPlLGdPS94W0o/Ivqx/Pxhlby6aZmEBbHnzSZ61fuqCpj2IYG1BUjh9GXm+8LomL/KxQsmL067HfLY+vyBeJkXHKBbCtzSYau3n1cWzdhKvSMQwt2vM5e37phx945OnDuttXWCtRMqFeiZGKvE0qjN2A8ShOQ2FEuhQVhTmOuQt7p8zg5WBsnLXFBrJk/XDHUYsw20FYpQmcjNW1HE3kFMeo7lYqJgkS/uBTE3zya3VspdDdZfbOx7Fl73eswXhcnuRZtpIGF+uu58WoPK0kzBh9gyrDwjostbPJ0hxtO1ajIiQyUSRCI/sJb3tln2ePe7z3/ZpwJCp2/Z4DI0YC41FIikIKSMe8mVzJGyJEIRdsLkHIOxqsHC2Tzjr8swm0kpIGz/R6SfaWcwXG2nSqlSVKbDqf0OZDgbCWeh1qFYtJQO/c3Hd/1QwRtoeQkiiWhKGmHyoE7gbIt9vIg4bR+2991rI0UndMZxdOynrdPWINitGA0n1tRlk8+zoDd24LpgkdFecVg0olfOnhgA9+rs4gSafgyyKxo1JpkmtvOep9CzGaoNqwzqYE5fW4Xs9yhTJJg7kx2WJLgLaZ9palBJBMwS2sswwTiRGKRBiEMUijCTzDj353l/uf8PnSYzJ1QTL7EBI0AzKQ2xLUbel9F3507FBRAFyS7xwpsy5kQ155KI0Dtc20uHQ2YjY/hVJwuRERlOO+bB59bGzO2P0IhpEgSgSJtYRCUu0pjDHooxfmGEaS3Zv73Hhpm/6gRm9QodMLECIgMW6S/sjHza2ZMe87WyphNGM5orsd4DNXRORAGgX8qP9dtGyNSpTRI9u0VGcbl6oYKROkjFE6ojeEX3rfBMfPBdgM3MKBWwiR7sFZZFDLm2Bt5OWPAzvPV+fL2fgFs6Nf58FSwdwjWc2SFz66j+To3jUmrcE2ppQAku4CJ0YjQ8O+7RH/+sda3P8vAzqD9I2nAadzVhQDSO3D8vscA3kGZoSzENPgEkH+M5t54GQBZPZnUkI0hXcu0/eeEjsjBVm29G+P3Wouc2nphdAeCFYHkrXQEg6G3LFjwKW7Jf2hRX/yG5chhCaKVomiE7zzFS3edFuPwJvAWEF/qPPBh1kz7LjRvnG2cr3XLUYYezSwHN09ALc/oygBvOSa5EBXBahlxuLK7cKrZJzagy6wjBP47x9r8NihivO80x5GpNtBWQlXMegSO2NBpSiz+AaMXYpTypnNTMOOcNJGiQRbsLnrVRSF7iQdJYwdlSl21FUxRmJTP1wIiTASKdIWN6GRxnDjgYif+v4W/+nPJgmTjMVF2oYDsVX0Tfa+15fTZquMEgXcMp8bkbkopefUZZHpPZ914Js0K5qP5Lc2vxmKxkwxKvXS8+sm3LrvJwY6Q8mFjmC1H/Lmlyzw/S/ps2/XHmamJ4mjGP1zf//tTE/W+fJ9T/Ez/6HFU8cqPHl8kXfcsUa9KllYrhOGTosnObhLAxXzi1yuFiul3lO2zkAwztTjmjuXJaLYk7HYq7EAt1SZe5KMMnfpkJlEqSR8+YEKH/hYg1bfA1/h0vEeCI0QItXe5fqXsaE+Y507o2Wfhb68eIA2SkEjsxxHlmJRStmLdDS162i3JZnipsCmRViy6PhxfrPbCjsRyr1vY5FxQrNi+PG393jkmYA7v6GgFhfzHFJIR1I6JrVpNtGOJ4BKU80glTuO2fMNJbLEjCQVxqL4GhAmc1bcjeUGCI2CXKSVWjb7X9O3aa1A6KIktz00bJnp8g9fNc877xhg4yZx/Q3UNt9MErXRl2yPmZhM2LdjwLbNEU+f3sR//IsqH7+vx4+/LmKyIukPncVftB65N5tJkZzNSlo7S7mPJHTGgJzpbTEWUOYsLYpaEznG3LksEaW91NM91HMdrmKkjjl0UvM/Ptrg6JLnUrRlBhfSbRGeAru8U1puczLK4OPNxeX4smyVjojx9WbBmP1VYnK7XqZkI6rz0lkj0l7IVJeLAvhJyt5SFnUqidDIyLJ/OuYfvKPDyTnNkXMCq0sGghBY6xGasU5SadMbIQs2RbaNXgriNBBN2Tv3yXPAp3UrhjwAdfeBzVePMsgzCUxa1OXOvTvJ7hpIKgFUAsuVVyzyI29cZO82C3aSB54RMGmJA0EUCvSZhSoTgyqLy3V2NSXDbRHnVmt02hU++VXLtfskm6dxGU4v654h77zPLtU6h6TsnIx73LlrcnHHpEi324uCOwN28b0yg8f4QcRcS/BL75vgE1+tOd2tRgNLmTK3L0qZ1DzIfL7SWIrWuxIWLuaVXLTGYUyerPd9RzObsjSWoZzplGn3T2IcYSRCIhLH4MZYx+aJwZOGt72yT2sg+Jn/pJhfkxBE7o+mbG6lZmjKEE/1ti0D2722ZIV5ItXghcMiS6xuTcHY2fc2AnkWmK6rxBTZRmMCz5NUA8mWGbjh8ibNiqXTC1lY0SwuV7h6T4U9WxXDgUZONjyq1drcpTu9L/7DH6xw3WVreNaya8IwXbdEsaE/MIQRRHGxN+b4Hx91GcYDyPU6++LgNozuxVhOyY8GlHIc2GkyR6a6O8Tw6fuqfPmhaqnWJCuocrZg1q2Tb0dYzq5uAGrH3mI9Y1OSKmVFUl7dc4rbAPRlyZICeqRE1ZJ325dHLhfdPmPZzrzS0DVFmLT7J4k1wkpee+uQN7+khy9iiGOwMZjisNYSGhgYQWggMoIo20Yk2zM1ndntdr4ub0lOvjWhGfmZHdmbs5j9Xa67sSNxXnbasklnnnZze6oVt2PeajtgYaWOQPHQcwM++Y0ZTl3wvqh1Za4/1Mhdu/fj9//i5DV7F/7b5i0TLK7FVD1LLbAEnlNmznu0+Zte98dHNGopKNsgiFRiNAWfJXHKbslGYM6+zoffZKl35bT2uDUYC8On7qry3g80ObvkuXR8Jk3SwFII8qAyqxgs2LscXNqLs3hetFRi8DE9XmQ27Tpsjz6LkcZfZyOXmx8K5rbjHvi4s5I3KItCpmSTsYaaXTOGn/mxFm95ZRdPxG5bNRu5w8RgE4y1DC0MrQN3bASxdcAuNgYuQJ59r9jifRTo7rVNmzcYwdOoBFsP8kwmukFIaZYUwSCU9AYew1DTrA2Z2jLDvQfD//aLv/2Vk5dddqnbo+ejXwtp1uFL3/B45midXZOWegCB73YrE+XcM2MXjjFvuwRsNS5LsravcnBZ8rgLl2RMd6uyDThaa6KEGQkqZVrjfXZJ8oGP1zl8LIB6wdqZNBFCoElT8rIE7LGbdJ1rUtLkI6sXG9SkXFSvjIF7JMFjN9bkeV1QOfnjAC1F2VGRyKyn0wiEzDYycM6KCzwN0dBwYF/Mj761w0NP+ZxcFMXdKTNnRWCMYliSJNmHsrm2JtfnWU2KkyhO1thMdpTkR2oNZTW2ZHdztmOI+7HT3/YiJ84apygGoaI70Cyu1rh+7xp79qwwEPNI+vwa6SZU05tvoVGvMj1VY2t9gU0NQ70qqfhuP3etxgb0lJdsWWbvcmInTRePlbpumNCRNg0Wv1VwF9JEZgVUabZSq5iVjuC//HGTux6rpg0MZfbWhS0oM/YuF1Ux0qkzaneOBpaU73uR8a/8ZrgevVZ25LqNdPSUgZ+xm8wdFBd4ihKLS2nzOhUhnD8ujcVgSdycKqfJhXGbiPUsr7xxyD96d5tffP8kq/30A1lRmpaJG9tMGuiV3BSxAchHXBRc7ck6dyW/+YukkJAO1NgiyDTpYJ91K5ixxImb39MfCnRXo0QFITZz4MBVTG25gSTuQfpnufqyXbz2pVffqcLlXz2wu8J0Q9CsSaoVRcVX6f7uxSzuPGC8WAf8GGvLi4I7lRyiNN7hWwB37n2Xm4hTDT6Ult/+eJ33faxBJ9LuTYuS9hYSmdqCgcimxJaAPZJt3UiHbzTIqBSMlaTKtw50McriI2AvjpzRDXk14YjTUmptyxg9HxZUOhKjUz2uqGv4ybd3eM/3tanaVKqYuJAqqVxJDAwsDHNN7iRLLldsaZMoW9blJbliR/W3ScFaTPRywajdULa4300S69L0sWUQQq8vaXcVi2se55c2c/xU9Ku6dtOd6H1AWuL73/7zr2EIIkV4WaCT79EyplrVVANNEKh0u+tswGSmm1PAq1Lx1FiRVK691ag0GbX9Sj53KbGjvwm4HfhLromKEH7CU0cD/v0HJzi94Kdj1wq/G+WBdLZgJSuJTVvSsufyhq75PvCZNk8DnfKGr0VhmYvwhciKrLKfC6RMB4+KUrFVVjglNngu31xybMUsJc1GV1RX3zGyV3xpFcqbfEsrUEbIFS9h85Th3ic95pdUmoIf90FdR1H2s9IiVvx3owA7/+0xt6n8XApgCot1NGlWJpf8PaXxSJKyeWRqdHryj5989N77bn7xGyGTKADvfMf3UAkq3H///Tz++KNUKxqtRbp5E+nU1Gxc2gZBWKmdLGf3DNAjunwU3COSRBQBpnw+cI9pbiVjtG948pjHT/3qJE8dCbBe5nOXCqqESOtNCu1d9r3Hs5br+kjHdPa4Pi+KiUbI+Xn0SfGcW4W5dHESRJYlTMbUWCdVhM2tQ6fFXa2QFE6LCwvCWIzMdDkkViKMTSWMQmBIQsO1l0b85s+u8pP/Xrh56H5ZpmTujyY2clSS5DKkkCjWZCeknAAqW4wu2eOqrCj0uCWtT3EOtEnfvxAukBXCQgzWGqxxtTdRCm5rEnbtvYxbbr2d4XAA/ItRgG+anqZSrTI5UaVRFVSrbs+XvLt9pMR1dIxD0ZxQ1JGMVAbmrWclcItvEdyphJHCoEShuWXJ79ZeTMfCb32izuPPBiRKFQGlzDS4zOtNfMFIj+W47/18Nd7lwLJgrQ3sQbLpVs8vVPImkhzrxe512T1g0mHz5QxnMQnWyQAhnG0o0sI4kVYISiFTHzz1aYR0e6wJ5XR4mulUieXGK0P+/lu7/Ox/8ujEwqGj5I9nQUicbigrrECkgacogVzL7MOIkkZfD/IsIM20vMBNqCXrMsq5v+Q+pb2rbt96m6+c1sQI6TM5OUW/389/Pwe472sC3z86NVk9tm1Lbb9JhiiZcxVQ1s7lPsmN3JJRsF+MueW3Am5ZNAyXrUAlstazhF4CH/hEg49+uc5QjhZR5baglAV7yzHfewP2Foy2qI04JhsGmGXAf1Ncr2NyW6JvO/I9kQPbIPJprxnoi8m0bmCqFFmQKfIA1AHRpfGlkSSCnMUTodwfSyy+iHjHq3scPKX5wMcbdCPcCUsDwfwhIUEyNLgdjTN3ZRzkZVBvAHJRAjkS1+yQJpgSdwelZQLZglDUhCNKLRnW0qhXULpyzPP8o8NhVH6r7rF5y3aOPXf/F2dnah+6ZNck040hE/WEasXgeybfpWx0bAMltk6BukGAOc7c5caFbx3cZr0sUTGd0PK+T9X59++fYGHZTzOVmdddAF2KtIkhLYfVpQA5Y++RWvZ1QaYYkR8jtSj5DVCKMP8nHuPZTEuazGE8q1kKvkaK4AqrMB/BXPbJ8+m0Ip9S636WjoCLNVtnLP/Xj7X5u2/t0gjKQWc5GZRgjSG2MDAQpj55lAaUcZoMypI8WUIoT/pkCaJSsFl8XSSDksR17bif23Qr77QWPLL0h5ZOz7C0GuIFUyiv+qEvfOmeL+7YsX09gwPUKhKpKp/dvbX/lqYX3bDWtXT7HmEoSUoZ2vJs7nX9kmq8+30soHwe5i4HlRm4i4xlUVTlAB8jKwmf/FydX37fBHOrnqt1FeMJHZUndNzmUaX3v05zjyYURt2TtIyT0RthPGpaJ8FLTC/EerCWwT3eXIsdB/Y4ezNSSuuKpJw+N0IgsmecbSiFdXZimr43wiKMyvMZAksUWrZNxfxfP95iuS350GcbUKGQKuX0uxXECAYjzDzK5Cq3B8dsxLJcyag2Z/MifS9MeiKy309PsDEQRpbOwNIeeFRW1eOVSuWzYTQYIQ1Z/uKyq1/LQ4/+0b1Pn5p7eGpyla0zfVSaMcpZLZMfahTY3xTcYhTc5fR7bhduAO6RZuFSZ44ODEfPevzRZ+pcWPBcFDyihWA0zQAAMRZJREFUuTP2FmkpbLqv/Fh3jisYs7kUKTsUG9qDZQkyrs3LwC4wX8b/etbONLgtWX4UaWz3O6KwDClvv03hEY+wODlrFxNqsy0JR2eqjOz/Y9O546Fi26aEd393l/07hzBMwCQFg9vsdYK19iJMLpyNmKf1i6znhkxeynYmecaz9LMs+5l+biHcv3lhFdZiw7Zt8w9/6msfv/ed3/e6kfOrx0/43j2bEUIytzTP8mLIaisdFKOyURJjI9PGrcGLgVuNgnu8trsM7nI6vpzIkemh/YRj5zX/5n9M8tVHqlApS5LRDnmZFlIV0mSDpM6YczLC5pSqB0sWVq7Ly7QtLg7kb+lRztuXasDLssUFkqkPLpzLkjG6SYM+IdyY4ywYczeYTPeWd0s9aXCZCNIAzwWeAkuCRQzg1TcN+YV/sMbP/48pjl8AvIxpxQjrWqk2YHJy7T6a7PkrMPlIoJn+WDlLVitB4AuM6OI1YrZv3oMx5UDhIgCf2PZuPK3D//rRj9CdO8n1+wUzk4JapVz2OjZ8/iJVgMXzeuYugsxReVI0OCRIkYw4J0omeF7CyQXFv/2tCT56Z41QajdPMJ1IVQSXRa1JebZ3kaQaTezkIC6X/5aBW8bxGJhH2VvkRVd/FWDnNuE6y3AU6OsTQUVSRGQltDnYXWCZ3RBWOPYmDTZNmtkUOJlCJgcEkFgCbXnna/skVvDz/32SU4uimISUywmxIcjtGMgpgdz+/9r77rg5qvPc55SZ2b5fVe8VIQECgWWBKKbY1zHuxOUX4iTc2DguMXZixzbJNbFjG9sJLklcgwt2CjEQAsbXGGPTRQcBoqgAaqh9vey3uzPnnPvHOWfmzOx+KiAQkHt+v9XO7s6udud75p3nfd52ECBXGZDHCY1m98Cj6KxynHmShxOOn4quee9oKhnhs3/+mf0DvC5no9SR+9TaY49a9shDQ6cLKeL0RQvqpA+gauHVWW07C26a4uRZcCdqCSVJdDKu0OERtvUxfPqfqrjm5qIGN3O0bpLONfEoEBAk3WczRQytjuRk3bicGUUpOpLuo552Qg8a2yn+nXoyE663NEaH6GFqZI1FT/VQgclPUQ4317o2IRr4wqYV2N8o7SljQvrgCCPAQ4h3nzMBzoDP/GMV2/paZb7JLDmxqbPWcjuh/cjkkMfVQQ7IrXgUP4gtudH/Y+qm0Ii6Qf0Tb53Ws+hTwGDL8aXZJ1YuyuPJe383umBmaeOc6XlRKQE5z8x658qZmqDMjJuEbri9AilNaAlrQ0toG1oS53eTpHhBAz0C4wK7hxgu/nZFgzsJpba13pTqKypvQ01arHf8OE1HYk6echTbTepNV6S3254M3JMBvtWau+F80uaWKWXLhO3j7EPDw5VyG3cmfDybYhsJPSL8vLMm8IUPjWBaZwiIrKpit9tz8jgL0Yb3XU7uKCgiw8n1/kZNkQqRU03fjCRGxyPsGfTE4Ghl49133TpKSFfL8eTtDjwhQBSOf2jB7NxJI0OjK31PIvAkfK70KBDayrldXZuZ6vck/2Qyzi0yFtxQESJjKZCxCJQJCK7wL9cXcdWvDbipm1/igpyCxno3Up1h06pJOuekbZNQ6oSKLfBd4KbUFBfwkwO41XQ7T8VoJoj7JrjNOC3o3YxCaeMpJLbqNsJJTGWOVVJgKiEJoUbZULFGrv/uKokwSsPJpebkHAK///oaNj7L8ZUfMUQuevZjyVVMVzTHUNDWnMUUhSBdvGycbVN7aS25VIBkboNSgSiiGK3xRwcGxz7U1Vlue5hpuyfPOutMdFWaYs6cuaqYB4o5gWJOIAgEAi+Z9x4nSGUr3FmahkxW/Z4Cu1VLYnAbsDMB4inctC6PK28qoGF1bteZpBneTXUiVatjmU2Lde5p2lqnAJ1RVDDJ4xjbKjkxDma1cuusBSdtwJ3uOJvqnSIzk9riQol24wlpbNVjXdzkj0thiiQkhxAMvgDefU4NZ62pgQhxQEseGkveUEnRRCSBSCGtsLhFFPYmiLHcQCSAUJjGPqFCraFQqys0BcG8+fPU7r6aOHntGW2PLZ/soC9cejKisH5lfWTjEip2FpMDbr3yJJuQtAm5p4M8Jtweg74V3JqKuODWnJt6Cr+4K49PfauKJ57N6YJhN1KZoiYE3DiVHm3vWLp5Ma5aYm8pLRztuXfMvzP39oxIIpxt9EPHgMdW2+wT9wh3jbzDweNxg9bxzJwEscJigkHWqsNGMw0Xtw6ogoo7W0HRRHOGTdQyZ4zh5RDAivkhLvvYMD5JgV/eWdAmdhJLDmPJU45kSg9P0mlt8bIiTgs4otUhmxMEkRwTKQmW9XaPn37q6iuLhdykxoNO9kJX9ww1Pnzft6bPmdHPvAFUShPIBRG8eKiTii04z7RRczl29hb3DmwBt2gL7uvuyOPT/1jFE88GBtwZ6x0DXYM7oKYzlXWKSUJNWjh4bL2dip02FtvKhanq+YwmnsLxAUx3W+7tSIGptFlF0oAHMho4STRwtFrxpKzNauHOYNm4jtOx5DbCqWjMw7VGzjUnb3IsmxvhKx8Zxrlra7rcTYhJLTkMJ29YS65IXP4WySTqGVcHmfTb9E1r6qEgqDcJBiYoRlWIxcsW9v923aPfmjN75qRscFILDgDDaiVqjUE8uvUWnHVcDUKWja7qNvFxK+Un592UJDWUWhsXpvVDIgXaCCVnEQhXuO7OPD77z1VseDoAAoeK0HSkMg7mUNs0E0nTTJpxIu02EP+GliIOVzlpA/gUhh2Qt18HpiotKgoc603S1lsaK5xulG8Trlyenuyrs/JgrDWFUjK24ibDxdQiKE3z4nYP7R1m0VRYMT/Clz48AgXghjsL+gXbXzllyRVAGCJKY9VHOdKhMlFOZQuTle7taJt2SqJznWx9eygJ+urAeWsJ3vnG+aiWO/Dh/Rxbup/X0Fdf2FDE++DJK+eN1xsR6g0OKWksGbZUurM0D3cVE+bmkpAkt4TRNLgZjQCu8Mu78/jMP1Wx4ZmM5U4VL9gCBk1L/Aznbmu9s12qkIA4G9BJOZIpwJMWoCcngqVwh6CitHU2SZqLu1Kh5eCp1y0nT8L5cZGy7RDsNgqyEU5F049lWlkRJldFSAYhNC8XkiNqMKyYF+IrHxnBG9fUNB+Xk1hyJQApISR0jWessBjLrIylVsTw88SiWzVFmWh9zgOKXh2RXDwuwT84dcrUxv4wvF8LfuKcnbJYnHvf1q1vH7nq52PFZfMkuqsNeJaKxNXzzr0pPSPECegwq4w4FTypCKW5ZwJgCr+6O4dPfrOKJ54JMr27ecZ6a6D51OlKRZEKx7sNNK3ldpv5pMrRaMZ6Z6x2DFySbLv38T4tG5MDPebgDpBNLn9CVQgyTmimLhMAMUlKNuWUqEQv16/b1Fp7TXF9CKuw2O+qYttnT9w4UOP+mCZw9LwQX/vYCBQIbro7D2FaLLfo5GZJSdGwVxqiObgySoqSACPEVMzZSLNJFWYKPlXoLAFnrirjPe89Z6SzOve+Z7ePt4YvnbVfCx6SGeB+d99ojZ53/MoTQqgQHhfwPQGPC3DuaNmktQo+VkdIOpCjO762glsx4LcP5PCJb3Tgia3twO3ybxoHc3yiYqfSZgm6A1vdfieuLNgS6EHaemfrMFORS9cJzSaDt6z9k5SsYhiDOwa5W3CcvGbVE8Dh40jUknaN8xNFhTqPaar9hDBc3GrlQmguHj9221A0GJbNCfH1i4ZxxokTYFJkeHi69A1KQhorXpe6BC50FZaMshJKoCmARkTQjAgazQjzFxwbUojzpvZU+ubN7t3vsd0vwHs7PQz2bcei+XN3Ll+24OnZMyi6q8MoF+rwvagF0MyhIimHkzk0JM41MeAmxnJz4Df3Bfjo33dg49YgSZ5K9RBMaIktXggyikkrNWmTMehuO+CNrXcboLv0pB0xdWXFg15tXSPSCvIs8FORSwN0ILbQqcZAbtPO1NRkB/zW+XRrNzPBH5uQJV3H0waEmgxLZof4p78cxlmvcUDu0pUUbZFQCmha51MSNKV1Pg1lUZqyhJKgFhEM1Al2DCs0SAWz5i5+euaM2Ts3bdkKQrznD3AAoJSiMfx/t3aURt7vV+bhzsfHsHtwAh6PEiczFYZPB21s4CbJEkxbbh4IwANuvi+Hiy7rwMZtAZTvgptnrLgGN6cJNYn7msR1lI4Vp20cTLfPYEtabKvGHQuDWdCnX47xScghwVyD11FBsmmzKWcS7XRxd5/WCKdyi3wd4CvlauDUAT5te4s5uQNyuy2bDEtmhfjGx4fwuhNroMII1ymQh6mMRKuVNxTQlNAgV46yYr5vXRB09dRx/LJ9WHPyQmwbkO//7tV3b2X0gPDdPwcHgI7uWRgeGUOxXNy1fl3p9st+vvPUt6/pw3vO0oc/1WmKOIpJu3A8SfNuL4iwbYBi3fo8Lvl+GRu3uuDOZgYmlpubHBPfVMWnwJ2t9M+oJiRjyVNVO6RdEUMrD09pg85+rXYYB23SiUU0cYFuuDZxgG+1cB32gzs0FjBc3NXDJYWk2rTHfUekk7BHtQYOJXW+iqIgZtCsc/ohkUjSJ5/99goECIGlcyJ86xPD+Nz3Fe5Zn8O2fh/wYTi8SkyqVADlUKAIof0ICZMURk3uidJ+VdGTeONxTVz4liKmzFt4e3Xq2l1RNA7PKx3wuLID7gHg0i9/CWeefe5Ab0dpdNE09i5f7EVnmcH3InCe9AZ0E6lSyVNOVNJycC8nsPE5ji99v4JvXlnCtr1+pmc3bwU3TcDtGd5tZcFUSN5pBdFSFe+MUGmx7JSkn7OV8TTzemrfpPrbPgeSrqon8X17+TGr3qQew56UZL+vJ4/TlUepNF7XKTZ+SBKYcvNpstpnuhlnNsSVOo8l0NslcPqqBqZNF3hyM8fAIAWYarnSucYi1c3LvMgJQcAUugsSAfEwa87p6O5d9Jf79my/o2fKvIMyHAe04HatWDYHuVzlvq5S/do92597G5GPgzMBz3ZxpdL8ISQIsdmDiSyYaN0heE5g83Mcn/9eBVffVEBdcUcKzKa+8phHxFFKx6lsATdpD+6k+n+SkLzLvQ90n+Xaba33QZpu5aSeuI+zu7k0hThaOMk0xYlzb3X2nXLUEwCwtY/UTOuwppwRrYinSnaoTXRJW3OC/eXZaEs+tVPg/DfWEHgKf/vtKrY8FwBBhOS/UMl/RQAQBkEIJAEiAoREW3VGCRqhRFfvAhQ7l1xb7V50nxoeOVjYHjzAu3umYnxkx9YFS0/8mCfWMVIXb/b4ODiT2hLYlEZiZUMnG5AZZ9IUK2x5zsMl363g6puLqBNm+nVnOTdLgdtzOLermGTbrsX9vV2LSBPevf+mPtkbSdhIiqY4nBzJDc6+h4LxeF+Vfo9u9GQoCYnxr0FL2iVhJVmHSiooRky3KCMfKkthzIcZcBEYDLs91qTT5JtKB+SGmsIUBrs/QCVfPqwTBJ7AeWdOABK45HtVPL3L0ymebqerFI1mUDCZhtCDpiZCBcYLgFe5/rS1J35s89M7ty1eOPugD+uBWbqzipVZeGrj7dsmvNVP7KlPAWMDKOaHEfgTcQg+BjdJh+Api8BzEs/u8/C571Rw1U1F1MG0WtIO3FQ7lMg4lClwE8eppImK4iZPZcPzWelP83PSWocJ5wRxOHeqGMIFset0qkPDdgxo9+bG5x1gu3nisROJrKNpZEQn6Up3jrKjB5MAkFLEdAxOqytJMlb2MYsdTmVL3eLnGITg+iY5opAhp4B3nTOBSz44jLlTQqBh1ZTQyIb2Zli4koAMQaIaSGMYCAdx2uoy/uTdxz627t47DgncwCFYcLumTH8tCPXqlfxg/e9/uIc/vHGUf+3CYcyfBoQRASESBCpxLA3njqBw7yMBvnNNCT//TRFNwkwz+mxuSWK5iaUlk4HbAbUbpUxPZkj4dHvLnXYs3Sp6F8ApdTB+jqTus3mzqc6zGcvcklLrWm/X2YQDWjLJvcpadhLTFRJTF32JIAq68AH6hIYyBhowVlWn1EpjuZVruY0ld+mJayHjfuDuSRsBHhd411k1QALfvrqIh57KoWELkW0iFmHxJxIpsXTGCL76p314bmgm9kULrzz+2GO+0qjtOFS4HpoFB4B8zkM+wFdnzpk9c/2WRev6B+dgaLQDE/UcIsGhlDlqRAOc8xB1KPz4hgLe9skuXPkbk8/NHUfStlZzLDfZn+WmDritpZ4s54SqycENtNIStHLtdNjeAW0rpvH8bHca6K1yoTsbKdMzHIkVjxOrVJKQFU+DyOriLdY62RbWytseh66UmLLkJgDkptgq16qbdhQhBxcU7z5rAtd9bQB/9KZxFN2+5ErEZzWjBIHHUcmVMaUyB6cfO+2OEbH4gm9c8dvhXPGoQz6uh2zBSzkCAOP33r9+/O/+/K3hHbdch8ZEA8NjYyjk62BUQI8vEfCDCDWh8JPri/jr71cwNOqMEEnllqQHQsXgJvuhJSlwq4xS0r6oIcXLrTKB9HOpfJIY3JmGmy64HTxnhIeDB7fJIrVW2Y7SVs5rMfjdyKXl4Y6TKqVJVopPAp0SC6lPdqmcL+dyIiAdWlcETOoGP4mzaV5sY8lT0ViHvylHwqFUoKcscOmfDYNRiSuuK2O8SQBfAKaTQYEpdPsKBZXHbeun4PfPe2vzI28itbkL3nLI4H5eALdr+VELoZS8N0+PXdMc2p6PBEUUcUivCcYkfB5iy16C624r4cs/qmJozLR2cGbjZFsau+F3j0xiufcH7kkUk8nAneLdcK2041Q6t1So3tFKXCwfkv1WB3iDm02IBMgpwFuwm511NY/FYALsxPmE1sVtnrb9oEyvbgvkGOQADL9JgTx5E0uORlw0bHgWddpeKIKOgsAX3j+CnKdw/W0lbN5HASpACZBnuvNYLWLomXHsRFfP/HvpQQR0DjvAi6USZDR28dLlJ6sH163/eGP0mVzgU3hMIuc3ce9TFJdcXsGt6wtoCO6A2zTngZshaBOnbG6JG8Q5BHDTNuBu12/QAXZrL8KMVbdQVvrJydSSFu3Zbu4HwCl82wcq/YIL6NhaI+HV1Fbc248xzTkBAip1U3pr7a31pi7IFRA3BIzTWNuDXMWgbgdymfwOZfi4MsKMseSSEDCTCtBREPjihaN4/ckNXPIvEvc87gNcgVOCghdhzaqF9TecvfYbirC/LpeLzxvgBxXomWz97ee/pBYdfdrtE80yqxajNdXCHtZZHcH9GxX+6rud+N0DZQgSANxrpSSUA8RDqjGmAXewP4dyMlpykOB2gzOtrxFnn4SupF7PZhy6gR7Y/d2gTibAQ0jryWYNH9G4yfoHQNYZTq4e9qRzG4CmrkRusMY5OxM65TgY7smZOpOR/I+Zz0ylMjhvcfqAafXHboMCpqiCU4LFswWWzmriqa0E2/YECDjHKcdMbb7jzHlf8bH3C3Pmr4heCEaftwW365Rjak2B6ZcW2XPNkSHx+a/9h0f/685ePLylBORpcumLf7y14DQ2o5Qgzgr0iQ3cHKTlzjqU5PmCOwM4FwgO2Ny/f9uAz6Hylay1zqgp5sKRCghZuVkB8TRgnYhF4jI0auZnAnoUiDSFv5TCsfDGkkvS/nvHzyWWXKYsd6slt2NMiDlZldTHXI8a1MEnCQYQ3XqNNYGTlgp846Oj+M/bQtz4wDxZ6Jz6+abquezm+4eaLxSfz8/lz6ytm69Ab2ew/Jd37Fr/x59bz8KoCOozhEqX+yvYyVXKAbY+IG4lTio66VpumkiBqcBOO3Cb1g+UHjy4W0LhbS2tY8lTn2O5vG1wn7zXNsS373G/A3M0d+aejHabJpo+ca5OqX2sNIpkOx3QSsbJuPsnufv2ipeejtc6z9TdzrbAdtIznEqubF6SDgDaoCDiRC8hdVquzyUmmjWs23au2DO29LiAj2/4wHvOe8HYfMEWHAAm1FLku0qb/MKsD33g7Z3f+c2t99ORhkQtpBgTFBPCOkHGPJkBk5wYZ5ImlThpSuKmwKp08CaVY+LO5myNVlpqManFdvTqrIwYWwJjnbPyoH1AMk8eiuVI1BPElppknksu+yrex77X0garmFCiYouOSSx57DNkLG62qMEdLKUtctpypx4TlfwoC2SqA0w60U4Tc506wBBGHpoRR73hozYRYOrsE+UZJy390Ja+OZu68/2HA5qHB+BHLV6NB9dvar757JMvH9i1rTA+0P312x/aDQYfCjrdMakV13815tCSFnCTNC2x98QBd8tMHToZwEnKmqMNuK1VTECZyQl3QU2cxj8k4bUtgsjzvDYmn6NB6abMEiROJrGauNnDleykqZChRDuYLl0hJndc830zItwcx1T3WGKPg0wBn1KYTMME5CR2UpE4nTrZBdQ4pxI6S5GQBAdh5KHR9DFWA/aNzcbojp6/OOPs113O/c2iq3f14YDm4QE4AJxw3GLUxneIPzr/DVtWHF0dHR6/ufz01jpoCDTCEKMRgaIeQHWBsNur23PBjLRD6XLv1ky/BNwt+ScOLWjHsWNagqxTl8nGQ6KsZBB4QJXvRVmOZAg4Vj9+pLcsyAmQcHJLlyzgTTNOuw1i5ETXsrvR2OSAaGexnSVPgRyAlFCgukux0noK5xEaocBIrYThkRxGwgKCnlNGFy1Zs2XL1r1i0bzFh+1wHTaAA0C+kMe9DzWvnzv3lA+/81zvGw/dd1vXlK7t2D3ch29d04maqoCQRON2LTclreBOhdgnSXtta7VpO07dJkSPmC3tN5rp6uDkIBB9MPtkTw51EGeLBTExl3ljk9PUwArngJnbY7YTTQNwAK+oBrzRRPUsH6OR69dc4JrvYbJf9exNY52phLRJWobK6BORgEJAj1PRyXigDXznF2Vs21HEqiXTcc5Zpw0sWrrqIsL7r9+2q/NwQvLwApyQbgDAyMjoT3/vnFP5UXPpVyryqt7bHmmAGaLnUyBPlbHabi7J5FJg2wnE2VRYmlhl12FLa9xpuY06gG0ZDxiDjTj/omW7BYEv1KRP8v44odB5XbVsuB9igK2M/2HyUCjVOrmCkTWdjD47vo9S81zcqCcN8lTKCXUino6WHlOZ2B/Q3RikSeVY/7SHzdt78db/deq+eYvW/tX4RPjTcmXu4QGisw4rwO2qVMoQzeEfLV+xmj7wwIYv//im/t6aCuAzhjJTCGL1UMUJTm7ClFtLmeLcGXAzB8AHlgAn73OS0pCdS3+7mZgJhEgr6F8AuC0kXZlQ68fGbjvc23navGa4uPOcciy2nlymraeSSCwpgZmxoz84qTeNPVdnglqC7qS1MdAiIQKw2VuU6tRXIhmknQhHJQqM44/PqWHT4Nx9a9ee/JnhseaPensqLwYUXxyAAwDzq7j0B9deLuRMUa0u+4dA7egq+0DF05KTrbuz4GkdS5hY5rbgdgFMHcvdVv8mbWkIMs9bpGXBbdFHUpq+USPQ/gR5XsuJZsYKSptd9DRgK7dZJpx2OF2HWZ8YeiIZrOxtaZdpOKKsE25TwvV/oyHrRjZbTLj+P2xmom0T5+bHRCYZixA9idnjY5g/c/HAicf7n2oMXP3jGQvf92LB8IVFMg+0fnP9f+ADf/T6R2b2lLY3m97ro/GhoLOoL421JkWkrCbsDGF12j7EVTmZjMFkZKHdj7SnLU5UMZn8Zp6jbXLAM/w8Jf+5vN3dz72npM3z7SOZk90A7Pf1yfZNnMyEX6VzyjOeM0jmPWhzdpLU+y3nTx+TNKWL7YSjnxNwjNVyGKsFaIQEudLC0b1jCz68u0/963En/enkxUGHYb1oFtyuLTuLMsgFV65aHkSzuryf7Nm1LdfVQbGpfwKPbA1QUBRBzLXVJLxaoX2FfFIj6cqEpJ2TCcSX4El17vjPiBS421DyeMXWMpND8nxXS3T0IFZKQnSdT1jKY5ppKjgBK01JbIs0S3OUkVVTc+VdmdB5gsS7tSoolOr+8Zw38MSzCtt2VVEMKBYsmFdvqt4/XTCreHUYNuXB/L4Xsp5/mtZBrosvei+YaohSpfvqFUtnnn/myYvr554c4pxVQxCqAaEQj9JuraFMqnXc0dq241HWkrsWOp1hmIzQdt9P2txaDF0LmuwGcZ5KwljqhdijDE2arPKROHQ71fEqzgFPb0tJIIXN+XYaXcYDnkiyn31sGmHG8+ftTbitJWwuOZz+Kqa9hNBDCBir49cPSfz8d8C4mFcXdNb5s2f1Xj00CjH36BePmtj1ogMcAD7+Z+/F4qmhuOH+N15zwjFT37dyRW8tHzTBCVDgCnlPIeCIJysnl+FMhNIBcaoq3rXoFJmbHqDFzPCi+EbSVwP34h5jvA3QVZutw7HaGf92Vxq0+V4tlT+wwHVuygG2cIGqpyzY5j8uqGUK1MgURySdtdxuWnpuPEcj5Gg0PQhJMTYhka/MrIW0932nvO73rvn1nZE4+oT3vBTQe3E5uLuuvPJK3PCj43DeJd96/JSVJz1zyyOFs3fvinI9eYVSTtdBxK3J4PBrql+Lq3gMuPWczgy3pmn+zexzqTyR7EmU5rMZGpvBE8ns4/Jph2/j0LMJaVtfACmaBTg5Jvu5ysSgc2/ZUn2V0JhYCk2d1fZv4Zxhyj0oTgTY5LwQaAvebHI0mhyhoGCUYOG8acNTpk258Py3X37l13/Qgwve966XCnYvfSDuZ/95GR57+hhUS6Pvi+rjl2166onu8bFhTDQp+kYVQqH/iB4DPKbgmeo27gCb0DSvzmrebi8TQl3HkKQts6usKUM1VHvbnPoMV51xt+PIadIX5WCSrVqyH+OrU5uxKsRIf5NcXWwxMtCeLiWyp5u45YxfN88z5/+Ohx1YEYApeEyBcwGPS3PTlVxhxNA/lMfwGEFXZxmLFi/sL5f8T0ztKF7xi3s24S1v+suXFG8vupOZXee/6xMAgP7+oSs45/yOu6ZdumH9bb079u7C4/fmQRRB2ZcpxYRTEltxN087rWi00hRCCBghLdFKFxBwLuuu7pxFefJSrCPEVTQAWk3FoTicacNo7ls0jhZwx3kwrlqSbeXm/hbnfdZP0fpnMjECVBdRCBMFtVckRXULCh2ZNB1UKIVSGvycSeSDCErVcctDgJAzcPTxp+2be9TqTwsRXUGL1ZcaagCOAMDt6u7uQK028cMzzziVHDVffPln1/53r1eooV73MR56yHlSA9wU3ycAd6ywygLc4eCOY+la2hTAHUdMD0O1L2RqDJEOsGSv3OYt6SDNIRyLFgGvRXJLg7sl6ERanU07NVilqIjew6RngxFDC6l1xsyeBuTSiPGxSgRAEIArrbprJ1IHM/JBiEiNY3BEAH4Fc+et3Xf0itd+Rkr8sHCEwA0cQYADQKGQh1IDl8+avypavpx//aLqjZ0/vnEPdjxXxZSSBrXHCDyu7xlLeKLtyQekqYOlAoxpgDOHFqSy/xTiKQiQKpk3CVeJcFKYCHGoqIJtUJ8CgGnZQByQH8iIO2yppTYkJWm6DUMdCTP5Lcl2MhI7GfmdWPEklUFR3WpHOd/EDo6Vbmqu5eMmwKSr9HV1BqMUQhD4XoRd+5q48/HleO9bzxyk1dd8cucQ+cnC6fkjCbEjC3B9QLvQbMifvuXs1w48vn7rwk19C7567Z5HPJ8Bgc/ge4DvEficgDEzFi+WulTsCFkAa1pDYqWFxaoJifk4YIGsIOzwUQtQqRvHZyef2SSlxFrqyzWJE7LbwPlQEN7m+Yw/m+HjyTVCQvsaNoRuR5q4Myfd/876AJavM+d6QykxWX96ZxXPriTmczRdlEpCD6cCGKUYnyBYvPi08OGd0z7V2bt2S2c1dwPlL5mGMek64gAHAD+g8he3Pn59Z8+b/dXHban1FIvf3vDIehKFDcoZQc6nCHwKbsbiNkMJ2XRBmIBPRxQTxYUzmpIGbUsIBW2JiBnQKKVK+LiR1NySMQLoy7ZNUrJAz3B6gnSh8EEvhx+7FppQfZ/OcVfp6KGCnipMCASS7x8JxKP43P+GEEAynREYZygSBRpPcUvTOakIGiFBM9SW3OMKQlEQIhEKCoWqnFlZrTp6537k4xfO/jHkE03CTjzSsALwMgE4AJx7+tF48KHHm8cvnfbTih/ekmeN339m6+6/2717F6plhnKBI/AplAJGxyNMNCQi0xyPUoDajE8TnmeUgHMKxvQ2Y8RxrPRlV0qlhyNBIjJFGUIqCKHSoDAnhjLqgr1kWzDHEcTDnCBuP4qSJCktmQiXUBalAGEcRUI0ICMBNEM9GVjG4wGTq5w03Fsp6DY1ZkAUzO+yA34BfaLUGxSj4wpSKQSeHiiV8yL09k5Brjjt/+TLi38eYeb2fbvrzSnTXx7gBl5GAAeAE44/GgAmfvqv12z8vTNXXvrLW5/0e7rKFzfGdrNKUaBa0t76E1sF+kckiNISou/pRkGAtd4kBjZn2vJzG+xxACglQRhpsIahNOOi9choe1kn5jN1bgXRmXl24q4pEDj8yzoXWa3cpiwkNZXWyjKp1R0hzO+JgGZTIRTSlKnpRYk+NlICiif6t6Z0KvYrGFMIPAnOJYp5hb4hYPsePfCrmCfgXgFLp80WM2Z0frFvfMml+/btEPOXnHKkIdSyXlYAt+sP/+Ad+O7lV4m/+Mgffm7fvn7+6MPr/qJv10NBd3k3SvlR3L1J4KFnq1jQS1HO6T+65AkPZ0zzQs4pfK6dVM6TYBGllncThJG25uM1gmaoUG9qgFu+QQni0XaA0jxeORRFZeTCw7QS/q2/axLQUmYmabrIWAHgTAd0xusUjaZErS4QChlzc2p9EqGvbsqU7hCqqYxk+vdQAnCmkPMFSoUQ82cMYPtQhPuf7kV30cMxizpx9IoTGyefsfYfqtWuzz3+8DU4euU7jjRs2q6XJcAB4IP/+zyMjo6CEXXx6jWn0dGh6Wtqe6+gTzwr1/QNDvJIFNBXy8PnAoG5BBNY1YSCcwKPE3ge4HuaN3qx3KgckAP5gGB4TGB4TKLedIMr5mRxeD41KgIlVj82q42WfVDLSZFNSypoo6KYcTFMxYN4OUsm3BEAgSfRNyzRPyxRb4gkMkwIKDMxBW7bKjOAqDivR0g7HlOfQIEv0FGaAOEj6ChPYMXRvdHOfT3r3vmON8uVKxasiyJx8djYGEqlA09aOFLrZQtwACiXy3bzM5+49D9A6OnlqDn6/WVLnnzX1Ok76LW/45hSpIafGuWEEUNJtOUOPCDwFXxPwec2ApeAhDOFjvIEqDeOu54qoV7zUAykjqRyBU8BiiXFA7ausW3Es40+faClstttLgZu4phOLVbwuALnEh7TkUTOBQq5COP1Jn5xL8fjzxTRWTQ9ZpilbUZ2FQS+JHEcgVIKJgi4sAlY+jVOJfK5MdxwTwXzZh0tL/+bOVflK8UPoHnPKKmccKThcVDrZQ1wd1326fdg765nRhUpfTTPFm2+/b47Vuzpx9v2bN8CQjg8xuBxAsao5t2cGIlRIecr5HyJwJPwPQnPUzEwcn6EOdNG0FcbRv+4j5GxAL0KKHoqbh6vgyNOXrkzzFIDP0GkG5w52JVqzxZ/Shr6sfWmmh9zEx4PfInAi5ALmuiq1JGrj2DHYAWb95SxoFci8BR8pimHxwk8ruCbiWr6d0lQShAx7ZhGAgiFpmthGMIrHIUJ2nVt3T/jsRpmfXPnzonRxQsPf2nZi7VeMQAHgCnT5wNA34Ynt//NcSvfP/cCPIknn5r6tq1bnkSzMQpCvMR6M8DnQM5XyAcShUAgFwgEvoBvLJ7PBXJBCM4bmNXTRG91FNv6C/A8BigZ6982N4NSEzhBq0SYbtnmfuvkZJi0rgDp0Hr8+U6IPeVoMu1s+54Gdz5oopBvoJgfw7P7Gtjez1ETBAM1gqJHDD3TV7DA0yBWSsYxA84VRKQQMYJGqCBFhFxQRu+s41HqWXjtR9931EVhc2xrvjzlSEPgkNcrCuB2LT9qNp7b3bf1lNXLPzm1O//T6KQlH3vyyY2nPfvsFoiwBkqZvhxzhVwgUcwJFPMhCrkIuSDUw7OY7rzk8QhSSSyfL3DO6hE8tq2MwUYZnuGlnGrrJ6TRjZ3eaakATLydlLFZyjGZNc+mwtryM2Jqd1UiphiQK1P8ocCYpie+FyHwQxTzdQg5gd/cy/DEMwGCAjAWUkRSgYWaewdcoeApFAJlnEkJzgh8ofeLahGKPWUctXQx5sxbdFu1nPtmR8+8R6Io2povzzvSf/bntV6RAAeAGdN6AGCzUmozgMcazXD6yuOWfW/L5k2LHn10A1NSgDOFvC9RzIeoFJsoF+uolOoIPN3yrhlyCGlTSTne+7oa/uuWEWx4LodR7iHgQCBV7Hy5U4btSiQ2YlIC0j1UtEZuRgG6VMYJ5ijoOkj3ZJGEQFKVAnni/GqQczN1OvBDFII6nt0T4d9/2wEJH4oQNKXCeETQDPUH5DlFT16hQ+ooFmOA70nkpEAh72PJkmPFwkWLN/ssvHD5Ma/ZBWDj85n5+XJar1iA22X+ABtHR4c2CiHe4Hn+zOXHrLxqw/q7KqKxo1jK96NaaqJSqqFSHMGm55poRgKMMczozCPgeUAB4xMBFs5o4g/OGcaXryiiFnag4RFEJuQdz4YHUkleFtyM6ZubJxPnyxhpMXbq4vfq32BPHmFAbqOnVLo58jbYo4zWr8fEcBYh5zchSB3/dnMOm3ZVwHIeCgzwCAHPN7Fs7iB8FmEi9PDU9g6Ekpl0BIGeriIWL547fs5Zp41EUXRe79RZOymlW1/pwLbrFQ9wu8rlDgipth53XNf2kbHx5XlfvdZj4gfN8cciVX+kK8eGyr96QOHLV0zFQC2HWV0EF75JYc1yhWK+Bs+L0Gzkce7qCfzq3mGs21hEU3gJ5zb/T9p6mzI4pnVlzrT5FQIIIxnnueh9beaG0ZmNrq0ASJGE1nUkUltsxmwPE6T+d+sXaD4u4PEmHtwI/Pe6TihWBGcMFU+iGgAnLle48M0SU7smMFYfxhf/LcQtD01HV++00bNeu2jg1Ncs5bmAvX/2nLl3FwqlYUBJQl6SQq+XZL16fgnibq5SNkcHe3un3ZgvlJfcfcdVCxcfe8EX++UZG25ef+zD03tn15dMq2J2xcPuvWXs6stBQSGMCPqHS5g9pYAvvn8YpVwDkWN129kzHTjRqo3vUeQCgkJA4Hva6jZDiWYoEUVSRw6tFaY2AqtlTEp0K+GJRoR6Q6Bpgk1CpnuQxDK5tepKW/JaM8Jnf9CJZ3Z1o6vMkecCUklMrUpMK+WxY/cUDI3PgZRH1T/6zukPX3TB8Rsuvuj8L/7bv/77wmq1vGT69Ok3DgyODhJCXlXgBl5FFtxdnd3TAe2v1VRjM8C8ryrFv3rqiatYV7Xy7b39tSVDe59dy+QgY2wI/eMR7rk/wNyuClYu9lH094EgMplyKi6IJm4+OGzOhg4o5QKgmNMO3HBNYtueCFFTwvN0shilEooxTS8Y4HOFXKAQeAqFnMDufonRMYV8jiIXMFCqZU9rzW3E0tY9RkIX9+olMFwvoqvk4fg5Ebq6R7FhawDulVGtVJCvThHVKVPuqEeljeVw6EO+1xTFQh7f+/4/q+XLZteO9N/rxVyvSoC7iwSLgAST0cDA0AeCwO/s6xv40rq7fudXq0+Kh7ctPuGpHeVVOQxjYLgGYQgxZRIBV8j7BIGn81MioamBNE3jGdUWuxAoVEsSM3oa2NE/jse2e+gMOLrLxFhsGiuFnGl9vpgX6Kk2USoN4rZH89i9N4fp3Xovj1MIaSiNCUgxrqO1jVA3kPe9CJEg4J6EFAIl2sCSWWW89eypePiZ5gN3PcgfnDd/ETvp5Nc1q9WuzzbD5mDxCBYfHIn1qgd4dnV1dQDAIIA/A4Af/vutCErktDPXhK+fM2X8vN7OgaVDYztRrexCkfso+BPIexHKBYbBGsHoBFCCBjwUielGzlcoFyJM7aphPBrEQK0TJOIoBgqBryCl0nnWhjt7nlZ4quUGyqVR7Jtg2DOcR7mgA1L5QGcB6qsIkPMlSsUQA8PAnn4PlYICJRwdlTJKPMS737gaXPVi2bziU7Pnla5atQq//pN34LaO6Wcf6UN+RNf/OIBn1wXvPR0AbquNDd4G4HZGmwvD53bJSvUquWbpjPkrl3R9um/Pc5g93UejsQE/u6GGvsEADATFXA4AwIgOuuSDEIVcHflcE6BWgVGmwiaJUcYpvSaXRCmg3oww3FCo1SVKOYFIUDOnUoKggbxfx9jEKO7Z2IP5sxaj2CnRO3s6/GDbpX6w4ZkL3nkGpXwGLeb5FgA3Vnq6jvShfVms//EAt6tQ6gSAG+3jvXv3IgiCjh07d617bEOA+TN4OGNa98crU/PnjI56yPsRnnr8UUBNIAgYCoUI+byC70lMNBuIIgnFQk1rQoI6FZqW5HSabxRJNJoCzYbUdY1qAiEofN8H9wiCwIPvc5QrJRy3agU6ShKj9RB7gZsKhH+9pxfelBnL0Nn9htuisDm0oLP7SB/Cl+X6/wCfZE2ZMgUAhgBcBwAjw1tBCJ5cfQKZGoZEKhli145nUBuLwLl2CKHqYaHnlEu2PTx87tpVxXB6iaGrTBB4OqpZLnJUSxTVorbauUCiWG2iszKET/4J8W56aP4vNj14/yXcy3me54FzhiBfwszZy5HLMVSEomd30z0geGb+rFlH+hC9ItarQ81/max9O38FzsjU71yzpzowxNTMDoZKQassUSRRKnJUihTlgq4g8j2FSjFEb8co6kqRW59YMUyp3PMHbzr1SP+UV836f4uBYAgPhamXAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjEwOjEwKzAwOjAwrrgd6QAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzoxMDoxMCswMDowMN/lpVUAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 125870000
{'hecke_orbit_code': 13510798915666382, 'n': 1, 'trace_an': 1}
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id: 125870001
{'hecke_orbit_code': 13510798915666382, 'n': 2, 'trace_an': -1}
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id: 125870002
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id: 125870992
{'hecke_orbit_code': 13510798915666382, 'n': 993, 'trace_an': -4}
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id: 125870993
{'hecke_orbit_code': 13510798915666382, 'n': 994, 'trace_an': 16}
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id: 125870994
{'hecke_orbit_code': 13510798915666382, 'n': 995, 'trace_an': 0}
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id: 125870995
{'hecke_orbit_code': 13510798915666382, 'n': 996, 'trace_an': -2}
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id: 125870996
{'hecke_orbit_code': 13510798915666382, 'n': 997, 'trace_an': -46}
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id: 125870997
{'hecke_orbit_code': 13510798915666382, 'n': 998, 'trace_an': -36}
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id: 125870998
{'hecke_orbit_code': 13510798915666382, 'n': 999, 'trace_an': 10}
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id: 125870999
{'hecke_orbit_code': 13510798915666382, 'n': 1000, 'trace_an': 0}