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mf_newforms • Show schema
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{'Nk2': 1936, 'analytic_conductor': 3.8647594578299707, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 5, 'char_parity': 1, 'char_values': [484, 5, [243, 365], [5, 3]], 'cm_discs': [], 'conrey_index': 9, 'dim': 4, 'field_disc': 125, 'field_disc_factorization': [[5, 3]], 'field_poly': [1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 10, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, -4, 6, 1, 1]], [7, [121, -88, 34, -7, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007474166202852, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 3, 1, 5, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '484.2.e.c', 'level': 484, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 11], 'level_radical': 22, 'minimal_twist': '44.2.e.a', 'nf_label': '4.0.125.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\zeta_{10}-\\zeta_{10}^{2}-\\zeta_{10}^{3})q^{3}+(1+\\zeta_{10}^{2}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '484.2.e', 'trace_display': [0, -1, 3, 7], 'trace_hash': 18203188855167221, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.001', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.837', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '42.891', 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, -1, -1, -1], [0, 0, 0, 0], [1, 0, 1, 0], [0, 0, 0, 0], [3, -3, 0, -2], [0, 0, 0, 0], [-2, -1, 1, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [3, -4, 4, -3], [0, 0, 0, 0], [2, -2, 0, -3], [0, 0, 0, 0], [-1, 4, -1, 0], [0, 0, 0, 0], [0, -3, 1, -3], [0, 0, 0, 0], [-7, 0, -5, 5], [0, 0, 0, 0], [0, 0, -4, 4], [0, 0, 0, 0], [0, 1, -4, 1], [0, 0, 0, 0], [2, -1, 2, 0], [0, 0, 0, 0], [-1, 1, 0, 8], [0, 0, 0, 0], [1, -4, 4, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [5, -3, 3, -5], [0, 0, 0, 0], [-3, 3, 0, 0], [0, 0, 0, 0], [-2, -3, -2, 0], [0, 0, 0, 0], [0, -1, -7, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-5, 0, -2, 2], [0, 0, 0, 0], [0, -1, 3, -1], [0, 0, 0, 0], [-3, -3, -3, 0], [0, 0, 0, 0], [2, -2, 0, -5], [0, 0, 0, 0], [1, 4, -4, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-7, 2, -2, 7], [0, 0, 0, 0], [5, -5, 0, 2], [0, 0, 0, 0], [-1, 4, -1, 0], [0, 0, 0, 0], [0, 3, 10, 3], [0, 0, 0, 0], [2, 0, 3, -3], [0, 0, 0, 0], [8, 0, 8, -8], [0, 0, 0, 0], [0, 4, 0, 4], [0, 0, 0, 0], [-1, 8, -1, 0], [0, 0, 0, 0], [-5, 5, 0, -4], [0, 0, 0, 0], [-5, 3, -3, 5], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-9, 12, -12, 9], [0, 0, 0, 0], [-6, 6, 0, 2], [0, 0, 0, 0], [13, -8, 13, 0], [0, 0, 0, 0], [0, 3, -1, 3], [0, 0, 0, 0], [17, 0, 9, -9], [0, 0, 0, 0], [-2, 0, 4, -4], [0, 0, 0, 0], [0, -10, 7, -10], [0, 0, 0, 0], [2, -1, 2, 0], [0, 0, 0, 0], [2, -2, 0, -5], [0, 0, 0, 0], [9, 0, 0, -9], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, -1, -1, -1], [1, 0, 1, 0], [3, -3, 0, -2], [0, 0, 0, 0], [3, -4, 4, -3], [-1, 4, -1, 0], [0, -3, 1, -3], [0, 0, -4, 4], [-1, 1, 0, 8], [1, -4, 4, -1], [-3, 3, 0, 0], [0, -1, -7, -1], [0, 0, 0, 0], [0, -1, 3, -1], [1, 4, -4, -1], [5, -5, 0, 2], [-1, 4, -1, 0], [8, 0, 8, -8], [-1, 8, -1, 0], [-5, 5, 0, -4], [-9, 12, -12, 9], [13, -8, 13, 0], [-2, 0, 4, -4], [9, 0, 0, -9], [11, 0, 0, -11], [-3, 3, 0, 6], [0, 9, -3, 9], [10, 0, 4, -4], [0, 9, 3, 9], [1, -4, 1, 0], [-12, 0, 4, -4], [-11, 4, -11, 0], [-9, 9, 0, 6], [-1, 4, -1, 0], [0, -15, 5, -15], [0, 9, 3, 9], [-7, 0, 0, 7], [11, 0, 0, -11], [0, 11, -11, 11], [0, -1, -1, -1], [1, 0, 1, 0], [13, -13, 0, -18], [-9, -8, -9, 0], [-2, 0, 8, -8], [4, 0, -8, 8], [15, -20, 20, -15], [0, 3, -17, 3], [7, -7, 0, 10], [-7, -8, 8, 7], [3, -4, 4, -3], [0, 9, -3, 9], [-10, 0, -4, 4], [-19, 8, -8, 19], [5, -5, 0, 8], [4, 0, -16, 16], [5, 16, 5, 0], [15, -15, 0, -10], [-17, 8, -8, 17], [7, 16, 7, 0], [0, 9, -3, 9], [-1, 1, 0, 8], [-12, 0, 4, -4], [0, 11, -1, 11], [17, -20, 17, 0], [9, 0, 0, -9], [-12, 0, 0, 0], [-13, 13, 0, 16], [-11, 0, -11, 0], [0, 7, 5, 7], [-10, 0, -8, 8], [-9, 9, 0, 6], [-3, 3, 0, -22], [14, 0, -12, 12], [3, -8, 3, 0], [-23, 28, -28, 23], [-11, 11, 0, 20], [18, 0, 24, -24], [-19, 24, -19, 0], [-9, 12, -12, 9], [-12, 0, 12, -12], [0, -15, 15, -15], [-21, 28, -28, 21], [25, -25, 0, -4], [8, 0, 12, -12], [0, 15, -21, 15], [9, 0, 0, -9], [3, -12, 3, 0], [14, 0, 32, -32], [-12, 0, 0, 0], [7, -24, 7, 0], [-7, -16, -7, 0], [0, -13, 3, -13], [-9, 9, 0, 6], [-15, 15, 0, 14], [0, 17, 9, 17], [0, -27, 15, -27], [-7, 7, 0, -12], [25, -12, 25, 0], [-1, 16, -16, 1], [0, -7, -27, -7], [19, -19, 0, -20], [-5, -8, 8, 5], [0, -29, 17, -29], [-12, 0, 4, -4], [5, 28, 5, 0], [-3, 3, 0, 6], [-30, 0, -12, 12], [-21, -12, -21, 0], [-9, 9, 0, 28], [27, -36, 36, -27], [0, -9, 25, -9], [-10, 0, 4, -4], [0, 7, 11, 7], [-3, 3, 0, 22], [0, 5, 19, 5], [15, -12, 15, 0], [5, -24, 24, -5], [-7, 7, 0, -12], [-28, 0, -20, 20], [-18, 0, -20, 20], [35, -32, 32, -35], [-17, 24, -17, 0], [4, 0, -8, 8], [21, -16, 16, -21], [0, -21, -15, -21], [-7, -12, -7, 0], [-15, 15, 0, 30], [32, 0, 0, 0], [-9, 9, 0, 28], [7, 20, -20, -7], [17, -24, 17, 0], [0, -5, 15, -5], [-15, -4, 4, 15], [-1, -28, 28, 1], [-30, 0, -12, 12], [0, -7, -17, -7], [-7, 28, -7, 0], [-11, 4, -11, 0], [-29, 28, -29, 0], [0, 1, 29, 1], [3, -3, 0, -24], [29, -12, 12, -29], [-5, -8, 8, 5], [37, -37, 0, -12], [0, -1, -1, -1], [11, 0, 11, 0], [2, 0, -8, 8], [-36, 0, 8, -8], [23, -12, 23, 0], [0, 7, -39, 7], [6, 0, 16, -16], [0, -21, 39, -21], [-13, 13, 0, -6], [-21, 32, -21, 0], [9, 8, -8, -9], [9, -36, 9, 0], [5, -28, 5, 0], [-9, 12, -12, 9], [-5, 20, -5, 0], [-4, 0, -32, 32], [-41, 41, 0, 20], [-44, 0, 0, 0], [0, -5, 15, -5], [5, 20, -20, -5], [-15, 15, 0, 30], [24, 0, 0, 0], [-29, 29, 0, 12]], 'char_orbit_index': 5, 'field_poly': [1, -1, 1, -1, 1], 'hecke_orbit_code': 9007474166202852, 'hecke_ring_character_values': [[243, [1, 0, 0, 0]], [365, [0, 0, 0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '484.2.e.c', 'level': 484, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1936, 'analytic_conductor': 3.8647594578299707, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 5, 'char_parity': 1, 'char_values': [484, 5, [243, 365], [5, 3]], 'conrey_index': 9, 'cusp_dim': 192, 'dim': 36, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 274911461860, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 8, 8], 'label': '484.2.e', 'level': 484, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 11], 'level_radical': 22, 'mf_dim': 336, 'mf_new_dim': 36, 'num_forms': 7, 'prim_orbit_index': 3, 'relative_dim': 9, 'sturm_bound': 132, 'trace_bound': 7, 'trace_display': [0, 0, -4, 7], 'traces': [36, 0, 0, 0, -4, 0, 7, 0, -3, 0, 0, 0, 1, 0, -2, 0, 1, 0, -7, 0, -18, 0, -12, 0, -19, 0, -6, 0, 5, 0, 4, 0, 0, 0, 9, 0, 10, 0, -9, 0, 5, 0, 0, 0, 24, 0, 7, 0, 4, 0, 1, 0, -11, 0, 0, 0, -17, 0, -20, 0, 1, 0, -4, 0, 2, 0, -28, 0, -7, 0, -8, 0, -19, 0, 13, 0, 0, 0, -3, 0, 6, 0, 31, 0, 7, 0, 50, 0, 36, 0, 71, 0, 40, 0, 1, 0, 12, 0, 0, 0, 33, 0, 45, 0, -26, 0, 21, 0, 32, 0, -186, 0, -12, 0, 9, 0, -27, 0, -19, 0, 0, 0, -35, 0, -80, 0, -1, 0, 0, 0, -56, 0, -106, 0, 5, 0, -34, 0, -21, 0, -7, 0, 0, 0, -25, 0, 47, 0, 1, 0, -35, 0, 8, 0, 30, 0, -74, 0, 21, 0, 24, 0, 67, 0, 0, 0, 33, 0, 8, 0, 19, 0, 33, 0, 8, 0, -6, 0, -2, 0, 38, 0, 1, 0, -60, 0, 0, 0, 10, 0, -16, 0, -35, 0, -8, 0, -24, 0, -64, 0, 55, 0, -71, 0, 15, 0, -14, 0, 0, 0, 5, 0, 6, 0, 0, 0, -25, 0, -14, 0, 186, 0, 12, 0, -34, 0, 31, 0, 34, 0, 0, 0, 1, 0, 5, 0, 27, 0, 21, 0, -32, 0, 472, 0, 6, 0, 59, 0, 31, 0, -82, 0, 0, 0, 17, 0, -35, 0, 3, 0, -50, 0, 48, 0, 210, 0, -127, 0, -47, 0, 35, 0, 92, 0, 0, 0, -35, 0, 31, 0, 37, 0, 21, 0, -34, 0, 54, 0, 4, 0, -56, 0, 5, 0, -4, 0, 0, 0, -28, 0, 40, 0, -77, 0, 7, 0, -56, 0, -82, 0, -17, 0, -22, 0, -23, 0, -90, 0, 0, 0, 51, 0, -151, 0, 4, 0, -18, 0, -10, 0, -84, 0, 106, 0, 91, 0, -23, 0, 36, 0, 0, 0, 5, 0, 133, 0, -33, 0, 9, 0, -10, 0, -468, 0, -22, 0, 52, 0, -21, 0, -8, 0, 0, 0, 7, 0, -42, 0, 65, 0, 23, 0, 80, 0, -426, 0, -11, 0, -78, 0, -1, 0, 28, 0, 0, 0, 0, 0, 128, 0, -28, 0, 4, 0, -6, 0, -192, 0, -87, 0, 25, 0, -45, 0, 149, 0, 0, 0, -3, 0, -114, 0, 11, 0, -3, 0, 54, 0, 120, 0, 49, 0, 145, 0, -31, 0, -111, 0, 0, 0, -7, 0, -28, 0, 60, 0, -24, 0, 8, 0, -58, 0, 66, 0, -61, 0, 1, 0, -30, 0, 0, 0, -85, 0, 18, 0, -3, 0, 20, 0, -8, 0, 420, 0, 131, 0, -112, 0, 8, 0, -48, 0, 0, 0, -23, 0, -35, 0, -37, 0, 39, 0, 64, 0, 150, 0, 32, 0, 71, 0, -21, 0, -31, 0, 0, 0, 55, 0, 25, 0, -77, 0, 25, 0, 66, 0, 292, 0, 0, 0, 57, 0, -5, 0, 153, 0, 0, 0, 33, 0, -26, 0, 63, 0, 23, 0, 50, 0, 48, 0, -76, 0, -31, 0, -3, 0, 12, 0, 0, 0, 29, 0, 128, 0, 34, 0, 13, 0, 8, 0, -54, 0, -41, 0, -15, 0, 37, 0, -80, 0, 0, 0, -31, 0, -54, 0, 22, 0, -75, 0, -56, 0, -270, 0, 68, 0, 68, 0, -35, 0, 43, 0, 0, 0, -19, 0, 129, 0, -5, 0, -14, 0, -96, 0, -582, 0, 32, 0, 93, 0, 1, 0, -34, 0, 0, 0, 9, 0, -297, 0, -5, 0, -43, 0, -70, 0, -456, 0, -76, 0, -253, 0, -38, 0, -36, 0, 0, 0, -21, 0, 94, 0, -45, 0, -7, 0, -48, 0, -504, 0, -230, 0, 12, 0, 0, 0, 154, 0, 0, 0, 10, 0, -20, 0, -32, 0, 58, 0, -72, 0, 44, 0, -18, 0, 172, 0, 80, 0, -198, 0, 0, 0, 41, 0, 106, 0, -27, 0, -9, 0, 46, 0, 432, 0, 118, 0, -178, 0, 59, 0, -2, 0, 0, 0, -27, 0, -11, 0, -9, 0, -27, 0, 42, 0, 1038, 0, 115, 0, -28, 0, 81, 0, 133, 0, 0, 0, 51, 0, 6, 0, 51, 0, 18, 0, 100, 0, 812, 0, -39, 0, 120, 0, 1, 0, -195, 0, 0, 0, 61, 0, 53, 0, 27, 0, 7, 0, -192, 0, 798, 0, -222, 0, -6, 0, 5, 0, 185, 0, 0, 0, -59, 0, -118, 0, -19, 0, -77, 0, -96, 0, 474, 0, -77, 0, -270, 0, 3, 0, 71, 0, 0, 0, -40, 0, 132, 0, 7, 0, 28, 0, 150, 0, -286, 0, 136, 0, -34, 0, 25, 0, -262, 0, 0, 0, -32, 0, -269, 0, -59, 0, -27, 0, -90, 0, -462, 0, 160, 0, 116, 0, -15, 0, 88, 0, 0, 0, -31, 0, 68, 0, 95, 0, -3, 0, 66, 0, -630, 0, 124, 0, 72, 0, 37, 0, -45, 0, 0, 0, 51, 0, 63, 0, 33, 0, 23, 0, 24, 0, -396, 0, -297, 0, -47, 0, 11, 0, -68, 0, 0, 0, 64, 0, 159, 0, -64, 0, 53, 0, 50, 0, -492, 0, 103, 0, 139, 0, -45, 0, 191, 0, 0, 0, 15, 0, -260, 0, 32, 0, -65, 0, -46, 0, -160, 0, -58, 0, 189, 0, -11, 0, -41, 0, 0, 0, 17, 0, 244, 0, -9, 0, 4, 0, 110, 0, 332, 0, 186, 0, -227, 0, -24, 0, 45, 0, 0, 0, -3, 0, -116, 0, 5, 0, 80, 0, 20, 0, -108, 0, 67, 0, -180, 0, -103, 0, 60, 0, 0, 0, -67, 0, 45, 0, -57, 0, -25, 0, -176, 0, 558, 0, -100, 0, 97, 0, 4, 0, -172, 0, 0, 0, -84, 0, 138, 0, 2, 0, -15, 0, 0, 0, -160, 0, -131, 0, 128, 0, -75, 0, 183, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 346794
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '44.2.e.a', 'target_level': 44, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 346795
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '44.2.e.a', 'target_level': 44, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 346796
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '176.2.m.b', 'target_level': 176, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 346797
{'conductor': 44, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '176.2.m.b', 'target_level': 176, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '44.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 346798
{'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '396.2.j.a', 'target_level': 396, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 346799
{'conductor': 33, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '396.2.j.a', 'target_level': 396, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '33.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 346800
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '484.2.a.b', 'target_level': 484, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 346801
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '484.2.a.c', 'target_level': 484, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 346802
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '484.2.e.c', 'target_level': 484, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 346803
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '484.2.e.c', 'target_level': 484, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 346804
{'conductor': 11, 'degree': 4, 'multiplicity': 2, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '484.2.e.d', 'target_level': 484, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 346805
{'conductor': 11, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '484.2.e.e', 'target_level': 484, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 346806
{'conductor': 88, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '704.2.m.d', 'target_level': 704, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '88.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 346807
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '704.2.m.d', 'target_level': 704, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '88.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 346808
{'conductor': 88, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '704.2.m.e', 'target_level': 704, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '88.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 346809
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '704.2.m.e', 'target_level': 704, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '88.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 346810
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1100.2.n.a', 'target_level': 1100, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 346811
{'conductor': 55, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1100.2.n.a', 'target_level': 1100, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '55.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 346812
{'conductor': 55, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 54, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1100.2.cb.a', 'target_level': 1100, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 346813
{'conductor': 55, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 54, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1100.2.cb.a', 'target_level': 1100, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '55.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 346814
{'conductor': 44, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '1936.2.a.z', 'target_level': 1936, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '44.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 346815
{'conductor': 44, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '1936.2.a.ba', 'target_level': 1936, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '44.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 346816
{'conductor': 33, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '4356.2.a.t', 'target_level': 4356, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '33.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 346817
{'conductor': 33, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '4356.2.a.u', 'target_level': 4356, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '33.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 346818
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '7744.2.a.bo', 'target_level': 7744, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '88.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 346819
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '7744.2.a.bp', 'target_level': 7744, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '88.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 346820
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 79, 'target_is_minimal': False, 'target_label': '7744.2.a.da', 'target_level': 7744, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '88.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 346821
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '484.2.e.c', 'source_level': 484, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 80, 'target_is_minimal': False, 'target_label': '7744.2.a.db', 'target_level': 7744, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '88.o', 'twisting_char_orbit': 15, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 951650
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007474166202852, 'p': 2}
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id: 951651
{'charpoly_factorization': [[[1, -4, 6, 1, 1], 1]], 'hecke_orbit_code': 9007474166202852, 'p': 3}
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id: 951652
{'charpoly_factorization': [[[1, -2, 4, -3, 1], 1]], 'hecke_orbit_code': 9007474166202852, 'p': 5}
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id: 951653
{'charpoly_factorization': [[[121, -88, 34, -7, 1], 1]], 'hecke_orbit_code': 9007474166202852, 'p': 7}
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id: 951654
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007474166202852, 'p': 11}
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id: 951655
{'charpoly_factorization': [[[121, -66, 16, -1, 1], 1]], 'hecke_orbit_code': 9007474166202852, 'p': 13}
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id: 951656
{'charpoly_factorization': [[[121, -66, 16, -1, 1], 1]], 'hecke_orbit_code': 9007474166202852, 'p': 17}
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id: 951657
{'charpoly_factorization': [[[121, 88, 34, 7, 1], 1]], 'hecke_orbit_code': 9007474166202852, 'p': 19}
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id: 951658
{'charpoly_factorization': [[[-16, -4, 1], 2]], 'hecke_orbit_code': 9007474166202852, 'p': 23}
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id: 951659
{'charpoly_factorization': [[[3025, -550, 60, -5, 1], 1]], 'hecke_orbit_code': 9007474166202852, 'p': 29}
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id: 951660
{'charpoly_factorization': [[[25, 50, 40, 5, 1], 1]], 'hecke_orbit_code': 9007474166202852, 'p': 31}
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id: 951661
{'charpoly_factorization': [[[81, 54, 36, 9, 1], 1]], 'hecke_orbit_code': 9007474166202852, 'p': 37}
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id: 951662
{'charpoly_factorization': [[[3025, -550, 60, -5, 1], 1]], 'hecke_orbit_code': 9007474166202852, 'p': 41}
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id: 951663
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007474166202852, 'p': 43}
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id: 951664
{'charpoly_factorization': [[[25, 0, 10, 5, 1], 1]], 'hecke_orbit_code': 9007474166202852, 'p': 47}
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id: 951665
{'charpoly_factorization': [[[841, -406, 96, -11, 1], 1]], 'hecke_orbit_code': 9007474166202852, 'p': 53}
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id: 951666
{'charpoly_factorization': [[[121, -88, 114, -17, 1], 1]], 'hecke_orbit_code': 9007474166202852, 'p': 59}
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id: 951667
{'charpoly_factorization': [[[121, -66, 16, -1, 1], 1]], 'hecke_orbit_code': 9007474166202852, 'p': 61}
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id: 951668
{'charpoly_factorization': [[[-64, -8, 1], 2]], 'hecke_orbit_code': 9007474166202852, 'p': 67}
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id: 951669
{'charpoly_factorization': [[[3025, -550, 60, -5, 1], 1]], 'hecke_orbit_code': 9007474166202852, 'p': 71}
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id: 951670
{'charpoly_factorization': [[[121, -66, 136, 19, 1], 1]], 'hecke_orbit_code': 9007474166202852, 'p': 73}
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id: 951671
{'charpoly_factorization': [[[9801, 1782, 144, 3, 1], 1]], 'hecke_orbit_code': 9007474166202852, 'p': 79}
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id: 951672
{'charpoly_factorization': [[[43681, -7106, 636, -31, 1], 1]], 'hecke_orbit_code': 9007474166202852, 'p': 83}
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id: 951673
{'charpoly_factorization': [[[-4, 8, 1], 2]], 'hecke_orbit_code': 9007474166202852, 'p': 89}
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id: 951674
{'charpoly_factorization': [[[6561, -1458, 324, -27, 1], 1]], 'hecke_orbit_code': 9007474166202852, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 3, 'label': '484.2.e.c', 'level': 484, 'portrait': 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GCxLekPfQJPIIxmblIzO5Gy1A5p9wWDxGe5J9gwoVlsaY6fU1T8gA3TsGUuYv3MgHUzQzbMDNmy3rBtg+LyrT5VVefI8SZffzbg8f0JTx+LSVWHb315i7e/1FBVM+w/NsmR0x6nzqecdeA+uGC44cp5/tN7ltk6O8Hp85OcX66w2PJZaklWOintrqYzgP1HFth7onX50wfOv+LIybM7jp0+f9vNr3tndP/tn3ihIfGXuv2dZvCl5Ra9gcH3eO99Txx+6c/+P38h33XzgZf+u7ef9BZW1rHYmmBxpcZiK2Cx5bHYgqVWylIrZnEl5ewKHFoUzM2u8PPfu8iNl9Y4cW6a0+frnF7wOLdoOLuQcHI+5XwnYXJ6wMuu7vKS3RDIKqEKObdU4cyCx9klQW8ISaKpBJp6JWVqIkEDx84mtLuwfb1PvTrEGAEioNvXbNswZHHFA2OlyEoXhgkYDEutiM3rfDp9hVAGoYc0Kz7bNg5Y6QmOnfZItcdMU9KoCEIfkkTQG0rOLknOLBrOLSeE4QD8hJuv6PLSKwVzzSqLy01OnAs5vQDnFhLOLSWcWoJDi4brr1jgF753mQ2TTY6fnebsYpX55YCFlmRpJWW5HbPcTlnqGOY7ghNtWFnq8L/+3TB59+vqD1TX/TPt1y9/QMn0Z+IkJKw0X2ioXPD2d5bB//Bjn+Tmm67jJ//9T/ziRz9517/73x/96sV7jq/sOHy6K192VYeLNmrS1MMYhXHsjZGABARCGDxhCCScXqzy8EHJ1buW2L11QK0CvicJfEUQeNSrkpov6XV99h2tcOfjAcfOD2knMftODFk/s8RbXrbM1Rd3uH53i6MLCQs9QS0ccPi0odWuc9VFkpVByp6jikbN47ljcMkmwyBKGaQBnhcz1YC9J0KUl+LLBM+H/lBy4+4e/Z7k6otT2v2UY6cb7NygqNciVoaGdZM9lrtt/vQuePJIytNHBmzftMg1l7WZmo54880d3vFKw64NDdJ4kiOnJjh00ufEWc3J8zEnz6ccOi84vhLzokvn+fnv7bB+cpITZ6c5t1hjfiVgsSVZbqW0OjEr3ZTlrmGpC+d6iuV2wo27F/ixbzsva366Y2n+6M5eL73Jr+6qVutTX3n4/s/wgd/74xcaMmve/k4y+J9+4i/Yfekm9fBjh/7zoaNnf/aRp46q04sRiwOPs33N1dvP8Ws/Ms+1u2qcW5xisVVjqVVhqeWz1PZY7sByK2W5nbDUSVhowYllgVcdcMuVS3znKyN2rquz0m1yfqnK/FLAQkuw1LISYbmjafc17aGhN0iYacZsW68BQegbTp73ETJk+zrFzk2GTet6nFse8tSBBi++xFCrLvPswWka9Ygo8pmZ0vQHcPm2AR+7a5LLtiYMh4bZCUmc9mlUQp47OqDq17n20oSnD0ecWwzYPBOycyNs2xChVMzJBQh8gxCG7esTphqSTj+k2/Np93yW2oqlFVhsaZZaKQutlLMtWBykbNvc5TtvXeCW3R4Vv8mZhSYLyxUWVjyW2oLllmalE7PcSVnpGha7cLajOLeScONlZ3nfjyxyyZYaS60mK+0K7f4kIrg4VZUNv2iCS35BxCfTW1/z1hcaOqtuf6cAvn/ffirVSvXkyZPbnnz62XedOHHmv+09cJLuUNDuw0pfcr4nOd2Juf6ic/zqjyxxzUVVzi9PsbhSY7ldYants9z2WG5Dq6NZ6SQsdxKW2oZzLcHprgHR5e0vb/HmGzUXbawQRTWWWxVWugGtjmK5K+j0BIOhIUoMaQpKGkIfqqFhsmlYNx3j+QMOnYl45mCITuq88aYIz1/hsT0T7NgIX3o44eVXhZxv9al4iiSNmZ6CJPbx/ITFxRovu67Nlx5ssHMjPHpgiE+NN9yoSUSfZw6lHDlZwZMB66c8puqCaigIAoESkGiIYsMggk7PsNLVdHqalZ5msWvopynbt/R480tavP2lEegGiysTnF+qWr3d9lhuwUonpdVNWHHgXurBmbZivp1y/aXneN+PnOeK7VUWlidZ6dRodQNanYCFFUlQ20xjYsN/3Lz1sj/btHnz8eFg0L/k0steaCjlt78zAD9x/ADr5maDAwcOff/efQff//CjT4qlla4cDg2dgabb17T7gpW+4HxfcqYTc+PF5/nlH1zkuosrLKxMsrhSZ7kdstIJWO54rHQErY6h1U1Z6SS0uprlruF8R3CmpZma7PG66zvcvDth+3pFs+rT7lQIfQkookSitUAb6A0AoZlqDDhwyqBNxB2P1hn2qly8OeCWq3vEeoV7H5/k2kt8Dpzt0lpu8pKre3zlsZD104Y9xwz/4m1t9hwNWT8tufNxxS2XK5Z6bQ6fmObaSyPufaZPMqxx8xUBu7YO6Cddbn9MQSo4dNKjWfPwBPT6Em0EqTbECSA1XqBpdQ31RszWjUNeenmP1704YaZe4dzSBIsrVZbb9tgstwWtLrQ6Ca1uQqub0uoZlnqSsx3BQifhpsvm+cUfnOeanRXmVyZY6dRod0PavYB216PTU3T6oKnoHbuuMtu37/qxnRdd/OHFxfnoisv/boD87wTA4ziRw0H/Lfff9+WL0zR+32OPPuZ3BzCIoD9I6A1SugNNd2Do9AUtB/LTrYSbLz/Pe39wnhfvClhpTzC/3KDVrbDSCVjperQ6ilYPOl1Du5fQ7qZ0+5pWzzDfFcx3IU6HXHNJnw3TKd2e4U0vGbJjgyZJJZ40RDHc81SF4+crbJxKePZQBXSN3VsU112mCSs9HjvQY36hzpU76jQnl3nwaZ8bLqmw2FthebnJhg2Gh/covufVXR7Z47Flnc9Ct8Xy0jTXXd7jwWdTpquTXHlxl/OtFg8/P0nVq3P9ZYZLtw1AdnnqiGDddMy5+Zh7n/IZxAopIdWGHRsjXveSiE5XsWlKc90lEEU1llo1llohK12fdk/R6kraXWj3UtrdlE4vpd3TrPQMS33Jqbag1R9yy6Xz/MIPLHP9JfbiaHWqtHshnZ5Pu+fR6Su6fUlvIOy/0Y257sU3xJUg+Mlve+u3HKzVqp9Xnq9faGy94JnMKOqSpt3vPXn08V+bP3tgenFpkWpFgrCB4mgcbC1AIQxSGqT0eGT/en7m9zzedssS3/XqJXZujji72CQMqlTDgFroU696dKqSRt9nou7ZC6afsn6o6Q8NnUHI0nyFkycMUaI5dTYhDA0gCJTBk4JeXyHwSXoeL9oh2LXJsG1zj2Ha4cuPKPYenOL1Lw657vJlPvJlQyBq7Njc4+kHFZsnFbPNHhVVJYp9znegXvHYsl7w5N6I6y6t8sprF/iDL/QJ/Aavvcnghz2++nDElx6q8/yRKhdtqrFjY8rcVMTO2ZirdqQopfGUAQy1MGRuMiSKfTq9gGcP+HQHHr2+ojuQdPvQHRi6PfvdO/2Ubt/Q7htW+jDfU5xbNtQmWvz4G+f5tluGXHNRnTMLTVrdCh0HbgtsRW8g6Q8F/aFhGEOqBQ9+/VF/Zmbm15pT65Ze8bIb/22r3fuDiWbtBcXXCwrw4bAHhh84ffTr7z2y76vTJupSCwOkUBjALjAFwIUAKWwnjZIGJVMCKXn6wBxP7K9z4PR53vbSLi+9YsBko8lSq0a9XaHZD+hmrDOQ9AcevaHHYGgYRJooNsSxIUntPUoCjAapBL4nqASCyYZgqgEbZjVb1veYnWpx22Nw3xM+Uk/w+hf7vGh3h/ufj4kGTW55kaDV73N+sc7Nl2pmJ3tUvZBBophvxygteNGlHrXGkMf3VXjFdRO85JoOj+9TYCZ48RUB/+xbl/jKkxF3PlJnz/EK2+YUG6arTDVqTDSgGoLvGZQEbWDPEUGaCuJEECUwjLHfcZjSH2oGQ01voOkNNd0+tIcw35Wc78BQD3jNtUu85aUtvvu1miRpcnahTrtbodMP6PZ9un1Fp6/oDQS9gQV3f6AZDFOiWNMfas4fOM2Rk1+e7vaT//G2b32l1+32fq9ef+FA/oIBXMfnEXL4zxZO3fPe+eN3r1Omx0QjpDe0GUIhJLZsUyCEQgiBlDhwg1IGTxl8pan6goVelY/ftYWvPtHm5Vet8J7XrHDVzi4zkzUWV2p0+iG9vu+Arew9EgxjSZwIksQu9bZ2ywaVngeVAGpVzXQjZvO6HgldDpyK+dN7Kxw+UWcyrHLDFR43X93m4f0t7vh6k5suqbBtY4+P3SVQIqTZiFnpDtEGlIC5Zo92J0AnVd7y8vN8/Es1dp2r8OabekTxIvc+M0OcVrjxinW8+YY2l2xt8dXHezx9osZTRwK2TEumm4JaKAh8exFKAUIYtAGtDXHiLtbYMIzthTyIoB9BZyBYHgqWOiC8AddetsJ7XrfCy69ImWlWWW7XaHWqdHoh3YFPt1+sBL2hpD+AnrtwBkML8EFk6A8NUSpZONfiQ3/ylXVLffHed77lpeb4maXf37Zx+v8MgA/P/gonFy7lzJE7vy/0z79vsPLEbCiH1Gs1hEgQgrG7RAiBEBIlPaRMUUq45VnjK0PoGaqeYHmgWGxN8Yl76jz0bJdbrlnhPa9d4dpdLWbSKkkS0htU6PZ9+kOPKFbEiSRJJakWaCNsFlQYwkBTqySEQUTgDzm1OOQLj0oOngw4cnIKpUN2bQy4fKfixbvbqHCeZw412DxZ48qLYMPcMkvtJldtliTacNsjIcOeZLKe8IYbB3z+3pjjZxtcdrHPmZUBzx322bp+imt2znP/0x0efE4wjAJ275xm99aQ3Vs6HDqzxMFT8MjeGgcO16l5gtCT1ENDxccSA2CMvViTFKIEolRYJ2ogaMcQ6QRtBlx/SZv3vK7Ny69K2TgdMhhMsNiq0OmGdAcBvb5Hd6DoDZSVIwNJf2j7Ri2oHcAjQz/SDIaGfgSDVHHqVIv/9dG71z156Nz7Lp6rJb/74c995O7nFvjo+/7JP1yA/8Qv/TbB+i9Ta5vv9vTx3xguH51ECyqVKoYIjGUhIQxSKKTAsrUUKCXwlHKPGk+l+J4g8DSBbwh9Qy1ImawIOkOf5fYUn7yvyV1PDVg/1eNdt7bYvXXAoN/lyp2GrRsUw9gnTRWptokigUFKje+lHDtnOHJWsNLXfPb+GqcWpjCRz1RFsWnGY/sGj4s2w5W72mi5wAc+X2dpaYKbdntcuavFV58SiMRn3ZSkXkvoxQHSSDAS5QW0BoJzS4IrTI1bX9zhgcerbJoNuOnKaf7pty7w4S91eGRfne7AZ3Glwc5NVS7b2OPGSzt8+ys6nF5a4rP3hyz2Qo6d8Tl1KsBXAiklAoE2hlRDrA1popmaibn6ih7DYczurUPeeeuQdROK6UZIHFc4M1+h1w/oDe0q18+BnWltwWCIXQmGKYNIM4xSJ/OMAzn0Y0FvKBgaj/lzbT7yqYdmX3Tpht+4+UXr44++76o/Xjj2Pma3/+Q/PID/zPv+lHe/6V3in/60+o51tWc++K6XP1G7aqdPt19F6wiMNXQswJ3WllYqSClRUuIpgafcoyfwvZTAEwS+puIbqrGhFhkmKilTVUEvknSiOkdO1vnlP54GnSCShBdf3WPnhogkAW00xtgkjhQCqQSeH7DveMCegxXqFY9GIJmtCeZmJOumPTbNKbZvTLls+wqpWOQ3P9Xk2PFJbrrUZ/eOlH7S4evPhExWfWYmDJONiFrVSiGtJa2BYqlrWGyltLpVXnblCo/u6bH3uGKyWeHGKyb5wbcs8lufhscP1un2DSsdj3NLTTbM1lg3NWD7zICf+I4ezVqLp4/AvhMS3zcoZRBCA8b+z0CSwI4NKbdclZDGPnESYkyNQeRzdiGgP7Qr2iBSuXzrR4LBUDCILGsPI5uVHQ41w0gziLV7L7tDLxb0I0E7FrRiSZRqdH9If/nxyTdfN/vB/3F2Pjl89qc+cfbgrNlw8Q/8wwH4M4+/n6uuO6ve/6EPvP3I8eWPfPjry5Wn9jb55X++wu5tGim1BbbM3BGDUj5KGZRUKKWc3pb4ntWcga8Y+pJhpAmjlGFsqMaaYayJIkMzgWGsGSYQJYJBLBmmIXFaYe/BOk/thdQYLLStNvYlBMrWfDRCuHIjNKswUZdMNRQzkx7rpmHbhiEb51aIzRK/+akJDh2e4LqLFBdtkezasszdzyWcW5zgxTslU01NJegTyhCjBEkqEcaQpBHL3QrnFn2u213lRZd2uP/xCuunBLVKg+su1fz42xf5jU9rnjvVYKWrWeko5pc9ZifrTDWrTDUnaNZi5uox26+LCP0E30tQKkUKG0wY7EUVx4rz8x5xoogTRRQrhrF7jCTDWDKMJINIMoyEDVAjwTAyDCN7XIdRShQ5TR/b9wcRDGLBIIZuJOjEguVY0h0mmGGfF+1Y5r0/Ms+rrzhTW15sfOTUud/WP/KnF33qV373D9Kf+OG/fbnytw7wH/+vH+FX/7yuttx1/p397vE/uPvp5Qq1Bl9+SON7hl/4wRaXb9UoqS3AhQW8UholfZQ0+MrgewrfM/iRJPCFPQm+YBgootgCPY4NUZJaVyQp3VNIUkOaalJtLS2tycEtnBTyJPg+hJ6gEgpqoaReU0zUJFMTgnXTCds39GjUV/jUAxH3PjPNykKTq7cptm/0uWTrgFSscNsjNeq+x9yUolEb8MwheP6wx1VbDb2h4ppLYq7eZTh7JmV+OaA/qPHGGzp87ek+B04p6lVJGDS56iLNL3zfIvc81+fz98yy2DZsX5ey3PKYbCom6j6Nmk+9aqiEmjDQhF6Kp6zUkq610hhswkoLEi1JUkGSCOJEEiWCOJYMY+u8RLEgig1RBMPYuiNRiTiGcfluwd2PLXu3I8lKAv1hhIx7XLtjmZ//oUXedJOm3W2Q9PdW2m3xR7/zL3r/ZPeVtT//0W/79bS+8V///Qb4tglfdgfd77rv0YXffmTv2Yrv10iNJK00+NwDgmioeOerOnzHa7pMNRM6soaS2ulsq4d9z8OPPUJPMfAt0wx9SRQIoljYkxMr4gSiWFoHISlsvyTVpKl1F1LjnBLnlmTujJJW9gSeIAwklVBSrwqaNcNkQ7N+esjcVIfErPCJr0k+/KUZ1lUqXL1NsG2jz45Nmu0bl/nU1w1LSxV2b1BMNaFRizl3VHJ+OSTYCcNYMDchmZyEA0cMy23N2YUKl+yo8OoXd/jCfRVmGhAGAUpOctUuwQ+9+Ty+PM/n7p/i+VMV1rdj1k0mTNQVjaqiVpVUQ48wgNAHz7MOkxQgRQnk2As71ZCmgiTFAR3i1BAlEMepJYVYE2WPsXa2Y+bKOAsyEfRjQTcWtBNBJzJEw4iJsM273rjIu27t8roXG9q9OoMoQAjFVZuerVSV/uCh56/0tJn4EyzP/P0E+B/+8WdIU/19dz9w+FdPHT3VnPIqJErTTwVdERBLyW2PeHz9uSpnlhf5F9/eZ7qZMAirtHsVPBXgez6+5xNEKZHvEURWmkSxTaVbxhGWiRwrJQnEKaSpdRK0tgGX1ibr4XTgtgC3gavA9yxAKiHUKppGNWGykTA32Wd2aoUH9kb80R1V9h2ZZMeEz64NsGVDwJb1cNm2Nr2kzcN7mlSVz9yUYrIBk40hUxMJQeAhhL24+sOApXbMSs/Q6iacXw7YtqHBS3af545Heuw71aQWxvgqQIgJdm1W/OPXLnD9Zef5ozsaPPzsJItdj3XNhMlaQq0iqVYUoS8IfYnv21hFKZx9aFFusD2sWpMDPUm1W92ctZhoktSCO4khSkxxj60rM0gsqfQyYCcwGCToeMBMrc2PvmOJn3i3zWm0OlUGUUic+CSJR6prnD0z34zFmd+sTl4TPP3o5z58zQ3/6O8fwBeWWigpf+ADf/AX7z1y7OTMdA2qiWaQCMIEwlTQkT59KVkZ+vzqn/nsObTMW17R5dZrO6yfjei0q/SHIYGfEAY+w8gjDKy9lwE8jiVRYpfdOHGedoqz/nDMLdGGAtw2SemYGzxlEyaBb6gEmmoloVFJmGoO2Tjb5lyrx/s/63Pbo9MsLde5eE6wbZ1g87qALesEOzcN8IIVPn6vx+ETdS5dL5lqSCbqKVIOOTVvCD2JFGCMIIo9tq9r8wgp7Z5iuW04t1Tl0i0Vvv3WFn/+1YCj50J8L0YIH23qxInkxTuX2f7uNrc93uNjt03z2NE6m6cEs/WUeiWlEghCXxD4NlbxFDZwliKvyTDYi0wbrNOSWsBnIE9SK+ks2CFKba1LlCWPEkE/gU4i6STQjzRpb8iW2TavvG6Ft76ix5tu0HiixvJKhSgOiOKAOPGc7vcYDD0Gw1MzteaO911x3dtVPGz9nh/+7Uzc+lsB+MpKiyDw/+kXvnzvex974rl1ShoqgU2951o3MfhCEAhJV1ZoRR4fv7vCPU93uG53m3e/tsebb2oxMxnSH4T0hwGh7xMlPlHs5YFSkijiVJIkkjgVJIkkTQWpFoXW1oJclZgsI2qTRcoliwJfEwYp1TChUR0yO9mlH/f56jOGP717goefnWQq8Llqs2HjtGT9TMCmOcmW9REXbV7m6aN9Pvu1OSaUx9yEoFkXNGsxrV7Kl75eoRFYd0gb6A893nLLkC8+ZGtiWl3N+WWPLesavO2lXR7e22HPgYB6mKCksCDXNQaR1fr/+NUtLt14no/f0+bB5yc5vlxlQ1MwUTHUAk3F0wQ+eEqgJC5BZr93Vn6knVTTuljhEgd0SxAQp4I4dcBOBYNE0EsE3RQb80QR9WqPt71+iXe/ts11l6asn/bo9+u0u4EDtztfsUdUCm6TVHDm5J51fuXB9+687BW6121/qFb/m2+c+BsFeL+3zHIrwvPE9z7wwIO/cvfdd88MeivUQkmcWOtPJSWQSwgUVBLoSJ+erzjZDjj9UI2Hnuny51d3eOer+7zhlgHTkwHRMGSY+ESxT5zYgxYniiRVJKlL2KQFwLVxzK2LmrLMhrQ63+B5msBPCYOYahjRqPZJ6fOVxyV/fNckzx6ZQMQhO6YMGycNs5OKuemADbOSTXMx2za0OTHf4Xc+XycZVtmyRTDZ8GjWoVmLEX5Eu19nsmEQQmAMxIlkOlQkOqETB3R6Kcttxan5Kldc1OCH/9EK7/uTkGPzdTwVuwvDI0kqDCLJhpmQF1/c5uqLujx37BR/eneVOx6b5HSrSj1UNAKo+4bAM/gKPGmPuRCj1XUaMNpedKkWpAaSVFj/PBVEqU0S9VNBP4V+YkiSBB0Pman0eeNrVnjXazq8/KqYiapHlNRZboUMo4yxfRcbZUk1Jysju+r2Wx1OzX9t3VLb+5Urrr4+OXP6zB+G1QrTU1N/NwHe6fSpVatv3ff8I7/19Qe/2ux12zSqHoPIZgdtQOdALgSeNHipwZeCQGmqqaCnQnqJz/lhhc89VOfeZ3vceGeXf/mODpdva7NuUtGseZYdnK7LQJ5mANcSbSTGWElg8oDSpfqVsUGslxAGCb6KaPdj5tsxv/6pCkfOT/H4nkmMDpipCtbNGmYnBDNNxcykz/oZyYaZhM1zPWYml7ntCc1jz09y9RbBVEPSqEmaNU29GiH8IWHo4Sn7942BNJX0hx79QUyiBZ2+ptM1LLV9zi42ufmyLi+5YoWP31mhuqTwZGwBaTySNCCKbY/n7GSF63d1uf7iLo+88jTH5iV/dMck51dqnFwMCZSk7guCTIZJG3jmRJ5JFSyTJ0aQaIi1YJjCIIFIG0gTSGKkGrJpqs/V2+35uOHylGbVI0nqtDohwzggccC2K2xmS0qiROVyMortfRhL2t0OX73rrpnekN+65ebrlnu9/mf/JjH5NwbwPXv3M7duo/rtD37s4gMH9jeXlxbxlI9nNKExTgsaVCJQwthajxS8VOArQ5AYKqmgpgR9Jeh5If3UZzGqcsdjEzzwfJ96OOSfvKnFlpmEHZv63HxlB0/YFjEhrFyxWUlbK21MibmxPrsS1jM3JCATnjsieXSvxxcebvDc8QZRUqPhKeaqhum6YapmrA/e9Jie8JiZFGyYTtg012fj3DL3PjvkA19Yx8ZJj7kmNOuKZl3QqCVUwyEP7FcMIg+/bkFljCBKJBVPce2lfR56ZtIWPvVTVto+Cysh5xam+OE3n+PkwiIPPTmHLwERoyEH0DCSdPseU40Kk806L7m0xyuv7vHuV82z94Tmiw9XeHhvlf2H6yTCYzhU9GKFyksfyoGnywkYTaINRmt8kTIRRFSIecl1XXZuHLBlNuY9bxhSDST1qk8U1Wh1AreSeo5wVO61Z+Au3yNX+xO5eElKQdVvs3Dy/uazj529+KZXfKc6efxgumXbxX93AL53zx42rp8NHnnk0e8PPf2r7dYynvIQ0upAWzBVVAMqKVApeKllcC8BXwr81BCmhooS1FLBUMMg9emnPr20QqeT8isfn8IkMevnBlyxbcDMRMI7X91n27qIOBZOb0soMTfZ35YaIQWfvKfK04fqCM/j2Okap87VqFQVE6Fgsm5oVjTNCjSqgomaotlQTDU8ZiZhdjJh/cyAzevapGaFT36tSb9b55IthmZN0ahJGlVNo5Lg+xG3PVRh2JP462y3aCZR6lXFG2/sc98Tmu5Q0u2ntHseKx2Ps4s1Lt/Z4J0vb/P4czWOLTVQUgOx08s+caoYxjYx0x14tLoBjWqNenXI5VsG3HTZgBPnWxw9s4Lnpzx12OPP764hlC1cY3z+oNGABmOIo5Tt6xPe9eo+s82Uy7Yb1s9AmvgMowZJ4rPc9kliRZx6Lg6ygM4AbmMi6Wp9rNduXwtX3Gb1vTYghMe58ytMTOtffebpx3rrN+788P79e6JLL7387wbAT506yeLi/KUnT558/9NPPS5roS131dogASlkkXpPs7shTgVeYnVinBr81GrAUBsqqSFJBZE2RKlgqCXDVBJpn1jDfLfJ3U9rDCmfediObMBod8+yeM4iE1lFokQqRRJ7SO3he5JGCDvnDHVfUws1tRBqoaBelTSqVg5NNCRTTZiZSJibGrJprkPKMr/+FxXuf2Ydu2ZgqubYuyZpVBNq1Yh6rU+1WiNUEiWdBsfKgTj2GfQF/WFKZ6joDjSdvrYtc/WAk+cmeNkVQ378O87xa3/ucXwlRAiNMTE6NcSJTxRLBkNbxtroe9QrAbVqhVpYoxLGNKoRL74kIvBjbrgk4T2v6eGpxCWBbPZ4RJQ7Sae1reQMfQUEDIYei8uerdtJs5jH3RNZxECucC0Dd+ZsFYklYd9L7WOSWj9ea1vA9fWHHpPXDNX7W+3+14bDwbN/E9j8fw3w++7+DJMTqnr4yMG3Hzp4UNSrHokWLmvoUu96LA3vgh4lIVU2YvdS2/uYZBF96qL6LLLXonitBZGWJEaSao9Yh6TO9irf8iylAE8IG9gqqFQNFc9QUSmhD6EHlcBQDQXVQFKrSmoVzwK8LphsaKabCTOTQ9ZNd9m0bpEPfEHzsTvWs3VSMdvQNOuKRk1Rr0GtmtKoxpxZ1Bw6E1IJbE0NZJV+gkHksXODZsPsgPYgoD8wjsUlKx2PRrVCozbJe15znsNnzvLBz27Gkx4GTapTEm2IE49hpOhHtiiqV5HUBh7V0KcaprQ6NsYI/NQmzPwUT9pGCSlTFxfZuy1dsautBbmgpV2VpbZxTZpKtJYkuoh3LFCzAD97XnpMMjC7e2LPXwFw3HkXDCN45NEnxfadnbdv2bL90B9//JP97/6ud7ywAN+8Tgft9umf7nfO/rRiIKsVSZRgr2ZtwZykNshMpUZJQSqtPeelBZjT1GXYtAN5aks+s/eK50WlnPVyRR4olTU34DJ5NrDypMaTuJoW8JXA94z1jT1BJZRUAkk1VFQrikZV0qgZJuopk42E6eaQ2ake29Yv8vD+IR+/ZxNTlZD1DU2zJiy4q5J6RVOvJDRqQx7eB0/trXHxnHG6t0ib94eKGy4zXLKtzyPPTtIbGvqDlG7fcyD3qVWqVCuTfOcrlnhq/3ke2rMBjELr1JbDJoYkNnk9SX/oURsYqhVFJdCEgU8YpISexvNSfM9mh20ZhCMcYUAYBIWeK4JzW0KsM0dKZ/ZryYrNgO1AW7zOsqXFPXUrdOLyE9l5z63JBHqDrtRHT/3nQRIGlWr9F4HoBQN4u9OVSdz/udMn/+DfLi+dCZTnk3XhSSFQqQWzlIZUGntAlE0oqNTY5zoDum2g1Sn58zTLuJks82bQLhOXJSuMMZQy7yMrbpaqzhI6SrqMpaJUtGWzf2GgqISKaiioVQWNqqFZS5moJ0w2hsxM9Nk0t8xD+/r83B+s5/jJSS6a1UzWoFlV1KuKegXqlZRqJSbwB7QGtljMVwYpi0+WastwcRLQrMb0Ek3P1Vn3BimdnqRVVdQ6IZWwwY4NMb/w/S3+y0ckX9+zHoNCG02aapI0IUo0UawYRIp+KKkOFZVAEgaGMFCEnsb3rd/vKWMBrtxq6mSKEGa0Qdel9o0jEeNqWVIH+FQXj5aMpHsUBcCz52lRGpATmraZ5lRDkhj3Xaw3f+zEqSAWjZ/82X/3Lf4PRP3/6AfVv3Y6/68N8Ha7g07TX7z33gf+9f495yq+8hGA52UBHaTSLj1KChIH7FQbtCzAnaYGnT3XAq1NnkbWuUcLRhvbRe5KQMt3xgBebpiQ0koUW1Nu7TLPtaL5niQM7ACgSmhHMlRDQ72iadRSmrWYiUbEdLPPprkVHtrb4798eJZ9x6fZPm0dlkZVUq9Jy95VQ62SUqvExGnER+9sIJXClwYlCptQm2wJ9/nHr1/m9sciOlFIzwG821d0uopW6FEJQkK/yWVbE/7bP1vkP31Y8OCz69FGkmqbVo8TW2g2jDTDii13DUNBxReEgc1sBp7JM7ae0khlZWIWG+UAL1KegCMRbC7Bui0ukM8A7KYO6Dy5hmN38hU3vQCwMzyUHw3QqAUwPFN5/NEH/s1Lbnml6HQ6P9NoNP6/Bfjpk4cxxrzkyMGnq9HQ4FeFSyZk9dyCVILSFugyFWgpSPP0cAbuTH7Y93ReK1G0X1mgC1tHkYE6O/BjnysDeFaDkWXyMvb2vKzuROL70tZvBIJKaGee1MKUetWCu1mPmGz2mZts8fDeHj/3oWmeOzbLlinBTL0kTSoe9YqtX6lWEqphhO8PObU4ha+ErZQUTt/iVqNUkiSKjVOGJIlpxxXXKaPpD1I6A0m1p6gEPoFfwfcm2L0l4b/903n+w+/DQ8+vI9XSAjw1xEnqmFwzDDWVSDIIVC7BfB98z0o0W6di8CROpuAqOYtjWCYNY1wmWDtWz+ShSw5l2eI0Lb2vC8mpXTyVlQVk5zvHgS4ejbHnLo6G3P/gY9WZdVtf8v9mRvlfC+CH93yemZl27St33htU/RX8pj1Q2RWvtJMmafYclMpOrCCVlqlTj/xLjgI7kyEmB7rJ5Ej2/AKfTYqiiEpKkFLk4FZSukaJTJ5AxYcw0FQrhmpo9XOtGtOsRUzW+8xOtXjswID/9HtTPHNsjk2Tirm6ZqIqaFQktYqiVhVUK/bisKn+iIf2CLqDgIrCXWRWg2dNCKkWxIlHvaK4+coODz/XpBdbmdIfpvT6ik6oCANF4AdOP09y+VbNL/3geX7qd+HBPeuItSTW2jVLFz2Yw0ASBtqyt1/U0Xsqu+NkSiHjpCOntUCeJYVMBnAH+DR3Xlhz5dUulhoHci45U+MuEuOK4eyfixJD5/gCf/QnnwlufdWbah/+2Bd73/893/K3D/Cktx9V3Tx56NnP/E6z2n7FsBYRJ8raPYa8viHV5EDWpli2LGMXV7lWYm3WLgFa58AuDgBOe+cnQ9iCIiEduF2RkcoBDspVDPoeBD62EyhwBVZhStXJi0Z1yESjz1SjzZMHh/yn35viqaPr2DDpMVfTTFShXhHUq4paVVHL2TulEiY0agPufSpgpVVhaqpIk2eA0U6bxqli3YziNS/qcu+j2nbRRLoEcknFl1R8D98L8LwqUmou32p47w+e56d+1/DgvnXE2iN2FYC27NUyeRjLvLow8CSe54qwpEB52bEh/3zZRZhJFZFVpVEkhMbvuvSodekxX3lHwa31KIuPk5rOCcBKrn7Sf8W+g0d+/we+/x0/8ugzR1duuPqvNrr5rwzw+flzSLn8U92VQ99l4vPUwgqRslGyzpsJnF52waM2wulsSr9DcTcO7C45k7H3SCA5ztwO6dnylWtvmVXQFbo7qxj0FLY+wzP4vm0srgSaSpBSrSTUKjH1ypBGbcD0RIvH9w/56d+d5cnD61k36bOuljJRMw7cjr0rkmpo2b8SJtTCiEQP6UQhQkn8jMFzDS4cuzm/OPapBwNbLhBVmMpAPkjpBZbBw0Damngv24DWcNUOw/t+5Bz//rc1D+5dT6w9hqkgSrVjcUEl1oS+IfBt76rn4g5P2RJhJaU7Pq4rP3ssFWblF2Y51hkDd05CJWIqg7sM9lQzCvRV5FYUf0WJ4OzJBYLake96/LGnDg2i+D/8rTL40sJJpmY2b7/vjg9d3VtZRAqF72tXvCRLzOzALinpaFH6efnLiNJVWz5gosQURVbSlNfMjLXLQWW23LqCLuWCKc9znUGuCCmrHqz4qdPNMdXKkKlmj4l6h4f2JPzMB2Z54vB65iY85qopExVDw4G7WrF2YgbuaphSCRKa9Yg9Rw33PF4nkBJfZWMwCh2ZLd9xqki0x60vjrn4oi6HjleZq1H0OQ5TegPHwp7C83yXQ7De9ZXb4Zd+aIH/8Luarz03xyCu2mRYYqi5Gu7Qx4Lcy1Yvnfe2SpXmK5ySogRwUQI5q/RKAXIzCvC8QrFYeUfAW6pFH/lZ7pQVBkNmFwe+Ymn+DI8+8ujV//7f/uD2I0dPHtu5Y8vfPMBXls4ShhM7Thz++v+SZuGtRveQnsSXOi89zSJmraWLtotWqdSB3H4xsWpJK+yoUuRedklWuSVZk/IYuIVBqswWdDUvyrG2Zwg8je9rQl8TBgmVIKESRtQqQ6Yneix3etz3LPzSH2/g6YOzzDpwT1YNjaqgXhG5V26dF23ZO7AAr4ZDojRl0K9QUfYik6K09JNpVuECTc9qeW/IMDL0Y1ECuCYIUgLfw/elnSrg2viyLOQ1OwW/9CPL/MqfJDy4d4bTrSaDumQyNTQSQ8VNHAh947z/zEkxOXtnUiUDeP553Ycu4zxXiO6kmPxclcpvS5LSVnMyIkFG2NqUXLNMt5csYhC02j2OnVp6621feTB9xS0v+jfHT5w+um3rpr9ZgOvhPiJduynqPPV2M3yWZj3Ml6LM49ZakKoSmEteaRZdZ5LEglq4pS1L2IxKkTLAs0NcVoXZSbDjHjL2Lrrxi+FAtizW97QbM5Hm4A4DB+7pLvPLfd770Rqf/focC90p5iYkcxUH7orV3TUXWFZDSS00jsGt9q6EERBx15MBy3HATMhIPTZidIVKU9v80Aw9Xn1dj4f2RXTikIm8Y10TDG2teuBZgHvKoKSPkDZBg4HdWyW/9i/bfPGhPr/4ofWcXJiiP+kxGQgaiaaWQBjb0cuBsgON/CzQlCIPgrPHcqBevjCFyHtF8vMDYxKyDOxS/FQGdO7CjOQ3WAPozhbWinsePkBjZv3bZVj/aKfbP/o3yuAmXQE5cUna+vy/asq7GE4aosQ1F2iZa+0irVuwd+oyYBmgc62dg9p5rJjChhpn7bIscQc6Y5Ys3Zy5ACoDuDK2HNfLejttf2fgpwR+QiWICYOYRrWP5/W496mU3/9Sky/cv45IN1nXFMxWrCyxFmDmkyt3F465y+wd43lDHnh+kl7ksbGWfZ5xBs+kmiROFBVf8ZLL+yTaArwfC9u1nnWuD7UNDj03G8bZe8Il1w2C2UnBd72qSyM8zYe+1Oe+52c4G1fpVSTNxFD3jAW55+IQZVxc4orfZHYMRVE7LkFSsPi4W5dLlWxEBePavNw9VBgQGaOnawSnqbZeezmzHWvJyjDgo196hosvuehf/eC7bn1iaaVzYHrym3vj3xTghw4d5xd+50v4weymjbVnXvnKXSeYas7R7kki5UpUpQO6FmitSyAvS5KCvbMTPKK1yYBeBnbJeijbV8KMSZMsK2crBu1oN9e47JjbV7YWI/RjgiCm4kfUagOCoMcf3+Hxy3+4jkPz0/hhhQ0NwXSY0gwN9RDqrsO+GtpsZ8UlhGz9SupWAitPFtop3SggUIpAmjzApPRVsgs7q92IEp+qP2DDZJ+VXoN+LNy4NRsr+H7qbD7l7E5lAT4SuNrKx7e+vMsNV8zzS3804GO3zbGU1OmFPnVf0vRsDU7o2UaTrBnCy5I++RwakWeBswRQmVRGxUoZ6Ky5AhfgHgV8EYc5DW6KpujENV/EKQxSwVIk8ZJTrKvc90qG5zap3tKBpYVTTM9+4+3HvynAjdb8u+9+w44vf23PB37tw0cJ3hLwbS+LGcYeApvqTRzAC2BbRi87BvbKLeobsuAxv9oRJUkixqRJBm5TsIlLKskywKVBSY0cYe7UgTwh8KwkCYMhod/n6LmED36xzqe/NsPhc1M0az7TFZgKUxqhcan3DNzSgVvmSaGK095hYC+cZn3Ipx7wOHCsSsVN4MrbxShQno9xMFaHx4nH7u3wrTd0+P0vz9CteTTd7JEwcnGD0niedGPrKIHcL50suypsm5X8zPf0uHrnSX73C9McPjvBUlKl53vUlaDmgB5IYy8c5zLlq192XDP7EKvPi0ynWe2TZ8SUlU6Y1bFUfq4zGVKuJSqVZCROmsSpbb7oJoJOH97x8iFbms8yP//KD8jat7zJJEvfVKp8Q4AnSYxSHgf2Pbllxt+z66feOc9Vu3wGkUCp1JWjGoRUKK1JtUQ5mZIX6WjhpkcVgNcO6KbM3kbkLFCwQkbbZkQHZsC2j+UqRe1ck4y9U3wvsZ07XkIYDgm8IZ004v2fCPjQFzdwanESrapMTyimA8NEoKk55q7l6Xvp6lScNHHeeQ7uwGYvh3HEgZMh3ShkKnQuTpZ0ylyJLAtrSjUpsUez7rFzS4QKB3SiBv1AUI0NwwzgXuoSNcr62DIrAV4reFXMTfT44bf2ePutZ/nQF9t88JMzLPTr9L0KFU9R8wRVZQgTY9lcWqniyaK8IctyrmJy1pAr4w4LY0yeyZASkRUgL2U/TSFTYg1DLRhoEAHc9dwcZ38z5d1vPLjrlhubW2684bqjwygmDHwudPuGAI/6Z/D8xtzclP5EWz3gb9keUAkqJKl2BfiOPZ0GV8ayuDE6Dy5zxtYZc5eAnQNcFMy99jpSsgNNDuwReZINC1KpBbiX4qmUwI+pBBGBH9EaRDzwtOSP72jyya/NMEgbBEHATCCYDDT1wFALDbWgAHcllIShJHTSxCaGnDPhAB74NvN55IzhvsdqRLFPWDerAszsVpxQSwZRrPB9j9fc0OHjX+my72SdfsWOZhj6hiABP9b4kUYpaX1rKWydfTbcB0ZWzERLaqHH+sk+//47e1y+bcjH7mjw6J4J5vt1BirA9z0qnqAqIcwGLGX2qnRdWIISyEdrVsaLs8qMnq/IJQa3s1lG9XhWX5RVhiZOnqRGEGncXYCCzqDK8TOaD3/ySf+qq6//xPmF1ouWW535vzaDV+sN2Vvee1P73B0Tk41lPC8L6OzsOyk0Wkqre90Ay1RLB2Y5AmxtRsswbX2DKNWVjMqSkcIf26NjmTxPKeu83NPqboOnUgtwleZyxPNiWt2Y+58V/MGXm9zx+ARLrQayWqFRVUz6hmagqfmGWmCoBjjWtsxdDSWVQFEJBJUAV6GnHbg1oW/1t/KG7D8Jp1oVm1hx+nY0cVLUz9g+SAvyREuiyGN9U3DJ1j7PHE/oxT5DN+M7iLDgU9lk3SxRY5tJyrfCrXLyJ7X14e96TZ833LjMV5/o8JHbmjy6p8lip0ZLBnQDj0AJAikIJbaHU9pd6pQoLlLl+mrXCjhX16+ULzxGJGkG8gzUaUmuJMbWrcQGIsfiWSmhBlZiSW8p5Xc/fs/Ee97BTTded8mX+QbDg74hwNPBsdBXg9+uiGfqQbWfz+cWwqXJpQWyck2+Wgs8k8kTOcLY2ghwSygwCnCKpW2EF0akiaFcoG9liXaaW6NkagfiZ26GjJnvJNz7mMeX7m/w2fsmON+uIyoV/IZP04MJ33byVH2c7IBqINxdupJTp7sDQZixdwZwLyEIEipBhDExdz0ecuxMldlpkecHctttjO1MyUJNU0V/6LN9veA11/X49NcjurFPPxZUfNuvGrjJUsUqpXK/GiFHZIq9ZzGRdFlTj2o45F2v6vO6Gxb5zNc6fPH+Gvc+3eB8q0ZfBPQDD89XeELYFkIp8YVxUsugECVpOGofrkHmIy6Yzh5d4VYmT1IH8MS9ThzI8waWTN8AiYB2bC+wrz11tP7OfxT/9r5DJy8H+n8tgCv1NRQt1s0eIR6GxG5TpiIgFK573TX6alFq+HWd7Rr3c/dYPglgeyfXqAkcCShLwBZCOztQIxzAPS8l8GIqlZjBMGXfKTh6WvGnd07w5UebnF+ug1/Ba/rUlKThGxqepuobqj5UfAvuim9nEtoyU1m6C/dz40Cuc5AHvm1PO3Ra88yREHzfLfOmlKIXIygoB2FpmtVM23HOV+0ccsWWLntP1ehXBLVEEMaGocJZe9qxd+amZBZkoVVyn91ZkVorN33AZxD5VKtDvu+NQ95y8wq3P9blz75S4+jpCntP1YhWQpLQY+B5SGWn+irAc48Zk+fShSL4X3UzhWuUgVrjSm4NpBQaPAO0KfWGYtKRXtGs4IvEcG5hgc/f+TgTk/VvBOELA3z/kcPi+WPdf3X3ff9jNh2E3HBJyvWXDW0A4gl0Iokjyw4GmTNGGeBl9i7LEkrgLl/pObyzSD3XfDapIbPhnMIydhjaSapJmnJ2Ee682+PQySr3PFzl1HKVQ6frEIaomkfFU9Q9Q93T1kXw7eD8im/HtVkQZ3fp7soBHKe5Hbj9lNC37G0vrIgj87DnaA1fjtqDuUShqAfPHYXMSdGurzHxuWJ7n0vW9Xj2cEIv8WnEgqEHQWJnAqoSwKUUCClHmBzGLTiRB7NZH2Wc+gz9gGY14h+/fsjLr25zarnNXY8EHD4RcvvjNU4vVkj7Plp6xIFCSGlXCteVb3ttM7lSTM5a1eNZuqAzaZZ75OCmjZV6aTNQm9S+rzXEVpgLL0UqzY27h9x4SZ/tG++d/YF//P/7V+/9VwfeV29esmb4dkGA/+ZHv0acJN/1qc+JenewkZ2bBly1c8grXzzgip0xm6ZTLt4eESJJYzmyJK4CuevzozTKYbS9LAsuTeFzjzB3SYqoFD9MiVPD4ROCZw4r7ny4xrNHAp4/UqU9DBlGIfgBqukTKkFNQc3TVEs+cOhldRpZ2aytCw+dLAkCRRBIdwGYQnv7qc0s+lbnV4IYoyPOLUmGJsTzJIE0eCWbbYzAc5CnZrTfMUp8BB5z0xFSDejGPj1PWKcjLgrGPKVHMpAyM6kBsmFHCIyWBZOXBiP5qcrHT/SGARumIratj3nxRUP6UZ9/cqTFs0cD7nyowjNHKhw+XiFOFIQKIxUISSpL2aByMn8M4KPiPPOBs0ddehy76xRigydSdu2I2TydsHtnxK0vHnLVzoQd6yFOTtbD+M7v0on3vr8Sg//6h29nfqmj7rj/WbE4bDJMQp46POCZgxG3PxQx4Sds2xJz1e6I198w5NXXRmBsW1S1jpskJUELEgf+PJAsM3j5aBjcrmq2Qdn3DAg7UjmODL2BZfSjJyV/ckdIL1Y8+XyFgydCFroBwzQALwDlo5qKQAqqCmrKUFHYcWbKFR4py9qBL2zSowxuXxI4WRIGEAY418SmzH1PE/iJy4jGVCsR55dT7nywQasTMjUh8JwXnxV9rVWvn1tnuRaXDIeK2RnFG24ecPujfY636vR9aWWK58bdxZln7Tx2mVq7kPKsE5n/DW28kZKJNJUEqSL1FIlvxz7EsW+tVD+mHsS8/KqEl1w+5G2vHLD/hOSpPT79SPGxO2scOeuDkPT6HmmksvJNjJctvWOWUTl9OwJwAI1IDEI7aWI01XpqC/iM5tXXDXn9DQOuvCxm++aUCR9mG4JU+wyHISkV2ktHRWXierV86lPJ1Oa3/+UALoC56fr7+93+NRVfEMsK2pPoVDHf85lPE44saR58NuUTdybMTScYbbju0oh3vXZgU/cpzE1orr0qol5xUsqIPAcm1vir2XCeVk/w1NMei21JtSJ5eI/P579WYRArBrHizNkALTxi46OFD56HCD08KQmUoCINFQfsUBlCZWwNuOc8X69g7iDry8zBrVyPpsjZO/A1QZAVaKU5ewdBjFIRdz+h+PTXG6jAs3bbiP6+MINnXniaZo6HYjDwecstfT77QJuP3TVBN6lQdzrcz3R4nCVlTN4tJITMAWb/lCxp/RLAtRvt4Fkm9z1F4nl4SWqBrlKUsoP0pyoJt1yWcPNlMUYMeeeregxiO87tc18LeWRPQDUULLQVTz0b0O5Jp5IEFxTl+c4TtjXw2hfFzE6mtvElNbzrtX2uvSTGaJib1kxPGDwEuMFOvYFPkvhEcUB/GKAZXlOdnnw/8MN/KQafX+wyO11r/uYHP31ZKCJVVYYBkqFxZrpU2M5uzVBrzrU051ZsILD/eI3P322vRJMaJqY0N10T0aja+t8105Ply8q5DitdxaPPBLRbCulJOxPFeJaZhGfbg6QH0kNKiS+FBbM0hFITSAuEQEGgihl9FuSiaHjwbCNA1nhcBrdleFdW62cMnpbuCaEXY0zEqYWAaFghnJAELu2tXFXeSBYz6+gByhndvDtdK6LYZ6qh2DobEYgB/SSknwiqnh2CmdWQZAktJcvlrTL/W/ZvSJf80UX2VGvXfFJIoyRJXd5AubnsCXGSomKbS/BUipQJW2a1WzE0l28bEJk+0tO0WoJHn/FY6UlUrlhGg+qRM+2KseoVzUuuiZmY0pjEruxVZY+d/eweaSKJjBtZYRSpVqSpR5LaaVqDSCrZSi/bcfk7mknUbXvBaNC5CuDRYJ7z57z3MTj+Kp8uRrhfkRLwwUgwHsiyZrJXZmI0rUxTKUN7xXDm7nrpK64F8HJqzJ0cIdDZhE5czalQRZAjpbOyMlC7tLPEbdya+calR8910ivc1nvk4LZtXYrAgTvwyEtMLYM7Fvc0gcuO+n5MGMacWND80e118AI7Y1GWEjwj4BslsoxdsyGhFmx2sE4U+7znDX0+c2+f58816KY+tcRuSmurAIu5MkJlOYFSsJcdy9xlk6UCr+yu81oYz1P4qZ2X4jugK1kkzWzduHvuduCQMsUTBmFSZmuab3mZBpE6mQmIbP+MNc55XmMkQCt07OVxWhJLYkZNisyt0y7O06lykBGcmY955vjZV6nGqfelOv3Rb8rgg/nPgZDBK6/ex20Pd1k6OUGcnRwpHcDz2LhU06phPIhQhtQvgXtNfGfslgF8NHgRUuYtaEqAL2xaORS2WtCX9nU2rdZzDJcXEnmU5qDgdmYruuoLgMtctoSByVvagkCXBuck+I69Ay9GyohjZwXz7QrC8wglI/JElr9W6XSXpcMI8JzTESU+M80h2zf02Xt2SD/1GKR2prqfGvzE6fCE3FkqUuhqpFMhi+0sQAzlphQrjTReqkmVRHnZ9uXKFatZ10LJ4i6kRjmQZ1vOCIo9ljLXKwN65oCVv3/unmUXYelx3GkzY45c9jtSapq1HvPthN/9zCkePnR7oPXqfM8qgE9VH0IgGFbPEumQNKljfGVdAVEqhsJ6mZC9Z/Ii+FGq+kayBNeVUyqsFwJJkSK2U6nAFwZfONA6CZA9z99zZF+UgpI32AZKWLCPgFvaxyADehZ8OnBn3T+eziWK71l9GgQxCTFffKDKufkq/oQiKNdwlB0UxhRpOXVtxFgQqBgM7QTbN7+0ywNPD2gnFXqeRzXRRC6drmRREJUVnAmhKTqHskAzq9rMrEM3U8XgavcFnhYkSuCl0u1iZ2t5Egf0Ipmm8wSblLqUeHPPZRnczubN94oxJT4fNReydF7ZYcvrk3IHrlziBUqkhMGQWqXLfOskX3jIsBaDjgB86ewf0azVX/bnX/rSDR/9TIWH9k5ilCIQUMmr4krpZlM84gCfzUj6JrDOP2qeLLDlBm7UmsGD3GpTLmVs55sUGldlwJZ2P/lsFEIZ2PkcFIXtR1wL4FnAmeluL5Mlxunt0VrywI8J/IizLc3jB6vgBXhOnnilAqXseIkxhFsWKlXd5X2pMvfE49jnuouHzEz2aS3X6CWKmgI/sd9FueFJKi4DHAvy/A/JsUpN4fomXY2+0qRa4GtBqiSp0qRKkDiQl4vXsnIImYG8BOqsZEKgHcgdoPNMtClJtBIySlZxxuIjAM+tz9Eapey/imKP63fH/NcfOcaTR6o3bNn+1pcl3/2J+//5e75jbYDf8XBItSK+5Y9um7v2sw9q/FqNmu8KccqFNtmHGgP0SP3BGiAXzj4pn2/prvIM6AU4TM7g4yWcXlYb4WrAs1JPJQtgK2llicq7VwpgZ823lr2d5vbI9XZmCVrGLsDt59WJMYKYL3wt5IFnG8jQI5DCzt/OKwjL81nKddSlY2SKOh2dN4vYQKo/8Ln5yj7f+vIOH/xCgygN6aaSSmoYJriVq1z1p52c02MX1IWYHLQn8+6rDNypkiilLaNL6UZL6FIpcrkGyBQgH8k2Z0zuznumy0vZ6fFbOS9SLPpFEd44kLJVrxIqbr26yxU7k2v7XvtbBNH95V/NAX7w8Elmpupv+N2PfeV79h0YsmG6Yvd4wYww0SrfPk/RjF2cYwAfr1so/j2T/7uyBApJUfNQHm2QMbftA81e4xicvA1rhMVdN4yvRsFtxymMMbfr2Qxce5vvZQ0HSekeExHzZ3c1SU2IyrOX5QCz6GvMnI0RDc5Yu56WdjpUmgWbHgKfd726x0e/OGRFx/TTCv1U4CfkLC6lQSYiLzqzduG4FpUla1KUQC5IPTfWQTmQewalrVxJlUGltoLRZo9lXppcWJTl6s6ijDlvSsmBbvITv9pfWav+371Xcp6yF0JAAohEM4hCBBU8GbO+qb9netO33dNZOXl7Y3LLKMDjOKbXjy42cXdXxbTY2AhJUl3obMbATfGHv5kcGfnYosTkJXmSA32sPDPX4mOaMwN9ebaHUqLQ4q7ibmTYjQO2p0ThpOR2oO24t43JxjF3EWB6JfYO/YjHD0oOnK5glI+SkkBqvPE6jZIAH3dRsnve6aRFya+2II8Tn12bYq64qMvX91eJVUA/EVQk+KnByzYTEK4LJ3E6HGnlwsifFCUWFyVpVIzyyGZCeko7cLt2NmVK4M5qgYwrE8iYnHz1ECVwI7KJWRdm7wvdzMgTkT8tgtWCHLo9w5wX75rcMLw4TZPbs/80B/ji4jLDwYAkGtCoWGaOUvINU8vW1uoP8Zf52MVv5rqU0lLO6mVd5TXfhe1WSBZhu+dFAW4bZIq8W9zLwS1HAF4e/mO77cmBnWcrc+ZOCTyb2LFdQTGGmD+/q8biYhURetZ3L1+E4zUoBSmNHMdsmkC5jjv3prUijj1mpyXf8ZoOjx9sMkwr9FRANbVaPCtnVRIH7myt0M4Tz9wtgFI2Ofubbn5NeSqVvUuUzlYkkz+X+bbq2Ya92X5HmTSRRXPEOIOPNa2MQXWcBvOfr+VRlINQOyHMzlev9iI67SWSeJD/bg7wT33m83hScub8Mo2qRxTbD5Z1xF9ofMNary50y/z/stwZeSwDusziI+PFCsaWZQZXosTimVyRKG8U4IHnBgD52daBLsPpGfw8Fa/d83Tk7inbufP8MfjEHQ2GMkBJ5bKXoxfieAZznALKJaWjOtxp8VSRpB5h6vEdrx/wB1/u8fThKrHy6UlJkGrnHglkakrHydj2MlFeW7X7W6P7FpWZPNXglebWeGk2VkJbKZT3bWZzWUR+QSdjetyez3KxHCUmz0D+l1/3V+vzDJMFwKPY5/DhIxw9vly6qB3AjdkHXFr7wz/87Z0LS4t5z6OHPWC2nleUM60l9TS+lBQ/GDmppdcj1YKsTmmvligiB874OGRZYuwsyMymNnletsmr095qDNxZ+t7PGpPt9uJe3iKW9XQm7h6j/IgDpzw6UQDKc/LEjJXHjl+4owgfHWg05oW7bpwi8eNR9wWXbR7w9IGIVIf0dUAltTXbntPgStiNXG1iKWNLTRZkFie98JWzmSVePthUuNmSdmiTp3EdRHYTg6whOZuulWbd/bkBUASXeeA5dr7XAveow7JaoTNCru6b5auQQKf2ALe7CVQmdr7xPT9Yu2f39/RuvWGLBfixk2dpNldeH0xWf+rAqQ5pLAs5oDK3xKzK1azN5gXwRfF5VrU55QCQo0AogF30MaoSK6qRoZoZyClqpFUJ1Plzl+RROC/cgtsCuBgK5JflSZm9levrDCKWOpr/5y8aLPYriNC38qS0Y0W2ypRBfmFmopgmoEsnTMs8dZ8kHs2ax499e4evPt5kcRgQSY++lASuh7IY+eAYvFxPL3ReRmvQDtzalTiXnRXhGNzkQXoGdiWFY3AridLcRSGXKYUOL9oJC5mSBZ6Fki7PQCw9jB6fMZyVQV5uh0PY2ZDr1RnU1CU/dfjJp+7Xae8zOYP/8ecOUq8G3P/oaQ6fSdg6HebJCtb4I2u9XvM2doJHBzuOsTZFWtvOyRuXKKODaXJgS4FUxfgxVQK1JyWekyReDvBMc+s8qPQ9nYPb97L6i1H29lVMEET86V0+zx2qgvSRUhJmpbElazPfI959yQtWE1KwedFdXoA80dJt8uRz1a4eb315mz/4cgXthfRlQChFnvRRUhCXArpxJhdlJh/JEhY1MVqBMnZV0EZYcGdTwtww1WKsRDGLpphMa/s4hRyVJ7mzMoKB4vUFpfgaYC975dktm6KweWKA3zyIUQKE3RjCA4j7dYYmJKTCVCWLmotERQbWYrKre7jAB8tPaMktsf9EVphvVg2UGfGM88BSFGyeM+Q3A7gsAK5KNdSeq0vxyaWIrwq3xC8NByo0t2Vv37NTq5Zbms/d3WChFULFuSeiFIxdQKJQbggYOUlr2HaZZaglOs3cFI+ppuIfvarHZx8YsNgNiZRHP5XOnhTOvRFFM7Ys+w4W2MYUXT86Z/NiufcyZ0W559K9dnspZce9DHIhRan7Phvi6aTJiB4XY3JFjGLF/V45+VN8+kK6jE86A4MyIISk3auycWqSqelJ0mRoAf740/tZNze94467Hv7xpfOnmWooAr+YblT8M2uz+Lj7NSJDso9WPtkZU48x+Ah7jxwslzgZAfbo7O9yh4sd7s4ouLOdDTLmViXmXsXg2biJYuSEp2zm8shRwf5jFTQhQnp5c25RPViOH0TJ1Si+/KqkWKkGo0jZF46K1jbYxHjs3h6xa+OAxb1VTBpYFk+tTPFKLk7BnuVCLye4szJacIVyohR8gpbFnJJybKO0vWi027kjT2jJgoxycGvhZqlkmlyMSZXRxuX8yGSgH8dUuXZlHIfCTjFOUohllbPnFqhMXvPjG7fe+uTKwr6jHiYlGg42KKHf0O0sMVEL84OyWvus9sAvyN6lDzo+SyMD9EgCqfxeqZexcCZEKdgsAG0ZHDcKuOyDl+9uS2tVBncJ5G6/et+Vhmbsrdxrz4tRKuaLX29wYKEKQSFP/JJ1OXLBsnpcxPhtdMxZqXKuvLtZVkYbeVw0G/Hmm3s88nwNtE+SWi3upy67m45KpYI5y5acA7kxI7Nq8ufSPc8mA8vsLty2NCYft5wqW1SabfKbEVOR8Ck/xyV/REmmlmQKYkSTj9P4uB4f7Qhz/44M6A3abNzOG6JouCFOzFEvcF5xoyqYnVT4nrT+KJSi/exKMqMAH5coa2ju8gdfbQuOsvl4gJYBWqwB7JzNlSg14ZbA7eYTFtt2sBrYXjEgKB/x5mkH8sTKExVTrUV8fZ/iM3fX6Q8CqHl4UuCLUWky/vnL33lNgOcgL8kUM5bwcSCPE4+Jhsfbbh3w5Qd6PLwvwNR9+mlIIMgvNJX//UIHl33lDOTlogsbfLoLTFk2T6XV47rE2llQr11wKbUo6W9RCnQLkkKUpG4pLrA4KMsU85cDeF55OCrxsuM4GAS0uh7TsWQwlHhS2AbP0BdMN300kjhx+6cYbHGO+yP6Ak3CIwxe+pCjsqTE3qWlc4S5x57nUkQUoJaqtHuDEq42pQB3AfKsbNbgecUIZc9twuSpUaD7OVvbu1I2wAyCiDhK+fKDNZ4/XgPfR0jlQOXmhpSCSyFHWXzcNcpPWMaauMmspUymzuqfs3F4zi6MIo/LtyW88aVdnjpaZZgEpNKnrxVBythnybxwxhjcPpqxz4LKQKLRSqCyOTZSYBRIU+jxfEWVIHVplqEuVg05Ho+MxyXlY5KD3eQfc7wDqnguVoFbazfHMBG0O4p2V9MfxPT7Cd5dd92BpxStdptGPSBKbDo2Ttz+OUIg3UGQmNU6vAzsVSAf3xJjbeZeBXA5HmAWOxAU0qRkFeaMnQG8mJyaSxTH3JaxTc7UXv5YPPddcOmpmDCIePaY4PYHavT6AdR9pMgqBynZg2tkMUvfs3yUiko54zSwGXVTygmfUgFWFPs0GhFvvGXIZ+8d8NThELyAgZYETosrbXeSLksDkZLLA9KxDKIqVmlPUUgXadk8W1WyIF8bC3api0Sb0GU3xZ1zXTD7eI5jbYCvrQLGQV6eYZkH5qndDSKKBMPE49HHnuS5vQfQaYrX7ywihCCNE6oVhRga58naWgYtygPNxSiqR8/b2iw+sjwxsjytYnFZAntZc+cgt3q7nM1UylUYuopC287lnnvl+eBj4HZ3P5tC6wr8PZXYuxfj+zGJSfnC/VXue7YKFQ+kbWj2SyW8I6Wx5Xv5xQVO2ug0VlE0lTtHpRhqaoE+HPi88qoeb35Zj+eOVUgSHyMUfeHhp+SfSaQFixcfYW0mLw+xV8pZhtKyuX0tkFrkOjz3+zNGz1Zbx+D50M4xcI8HnJTeL1i8wNB4sV4RHBdZ2LTE3oPY7o4xXFzBa3UxxuDNTtplNYoMxu1WK2ONFDbQAIMoDclcVTa4CuBitTTJgW3flGWAl9q6yjsLjAB7RKqU0/Slu9uxoAB66e4Vm6BmgPZLoM6cE+uY2EelYgI/5smjkk/c1QACkD5CqLyLSLmNVMtZ17IjlB0YkZ+6UqaulBEumLukwY3N0GnlRj/k+8R7GOPxrlf3ufPBAY8espMEYq3opcIVfDnQpZkdV6oDGVl77eqBYhToltjdRWjQ0u3nkwXFmfaWjs2FfczPoS4N7CzZzSNsXiq+WmsniQvd8mOmXTRR2u8pTgzdXorGNm4YY/B2X7SIlDAcavYjWFgJbYMwxQc2+V7mxTJxAfIugocL6Kwiol5jJwHhWFoIe2AybZcxR+6olEDuWtOKzaaMA3s2AL8A9whrlx6zxtpMqiiV4PsJcZpwz8NVnjlYBd8HaYPLQJjS5NhyYDW6idMoeYtVJ6kofRAlV4NRLe5a2bRyjkrqMYx8rtw14JU3WRbvp5bFhyJgoMFLRRH4pZld6PRtWrrISpJzlXUpwSiDNAJl7IpujLBkJ0AaUUiVUlBZsLc7r7p84Zfmuo/lQUYBbtYGV0mmZJ8zq3bNVvHzrZSzbYFQAtB4f/FgCkKgk4T+smE4kHmSQGA/uDHjwmj0L4+4BPmvZpaQKJaiVdJk1DEZ3SNmrP5EkO+9k+9enDXfjjQ8FFuXKDUG7tJQ/Nw9USnKKwHcSZTAizlwRvCRLzcYxj7UfCdPyFvTVHmXYFE6USNBxwUoyYwCvSxTypsDaLOWFveoh5LvfWOPL9xXZ98pe/GlWtFLla0yTF3yB2H1d+rGcoytJFkipQxwG3PZCy4r1ZDaYKQ9R0YKC3AtilgpY3JdOGLjAWZ5r6LRlX3UQSkT5IVRV/q8rvm8GhpefHkMwQA/VJbBv+2137f+vkf3/+yfff7rTFVSNk6nVAKZuxVFouACf6isnUpsXQSY45qrzNZrvM5BXrD1eJGVLNV+qJy9S8CWWXA5Cu5stl+ht91zqQvt7YLLyCR86q46Tx6o2nYf4aGEzVx6rga73FxclinlC/ob3kY0eGEV5jMf3cz1kQlYWqK1RzTwue6SPt/+6i6/8ccBfe2B9oiFpK9tjCC10+BpIQsZc1ZMrkec72vs9zLKrirKgHHetzEF+DNwS+PIyIyuYplkKUs3Pb665au8WJPJR8kz+9yrUS+x7F0NDRdtVsxOpkysf9nPhs2rfsg7febUZFX23rRzJkZ5HlLasQ2Fw1FyAsTIvzvG2GM6ao3gkguBupzFHGftkTpwM6K9c6CXJIkqaW+V7/RQ2ohKmTFJklUKpjm4fS9m/2nJx79aw85fseydd+5nf18wMl5Ylr53OdAU5Re5LBnTvbpcG1LMFbSBpwO2sSMTUuW0eOrxna/p8el7auw56YOMMEIySH08XL1IdqxTR3dplvjJmLsknYxxLYh2Nlb22XIXzYA0VrZkIJbG/g2jnT+urbzRI6vzKNjHHbUyXkazm2WAj9X05Me5SKenGpZaIecXFeui+E31xolJL4oitI4JAtfDqIQ7aUVgNx4kjv7hAryjwC7rrG8gS8o6Vo4+H2FxYUrBZel5ztgmZ3E1Bm47kVW7R2sHKqVRmd+tEpRMUI7BU5Xw+fvr7DlQaG8ppPW+8w4a1jyBgvHXYuSEFVyUPR9tQB7xxEsTqTwtbG2KLFL4Uexx+cVD3vKyLoc+HhKlCoRHKjz6QuClzr4jC3QzR0UwGlEVmtbqcoEyRSbPyBKbZ3dhihS/AC0t8HUmU2SZucfdlLXBDqsBvybeSr8jpUC4cRhxYn8Qx4LhMMbzh3jnljQLK9b3roaS8t6JI4NrSv/6yFU2ppvK4C6u0PEvuDoRsHZzwyhrZ68z1s7AnjF3DnRVZvJCd6ssiJQlaSKLoflKpfh+zOEziv/9qSYD6ZNN0Cq65t0KUq6BLkuScQq6wC0fJ5OnyU3J/irVppRS9+X6lFR7JKlPmCb86Nu7/MU9NQ6d9kDFTqr49IVAZfLE6fE82BwDeebNG8DLLjj3njROomAca2eeuB5hc+P+jnagywhstZnggF9m4hL4LyRT8mNsSguiIc8l4C7h0DOsn0mYmkrwGjXBoGfHBfuecL5yWX+LVaycX01lcK/6kKOJnPy5C2DXYsAysMUYa2eJlFFw60KiyFEG90b87Uxnl/V36S4ti/teRDvSfPCzTU6dD0F5zhqUTp6YEd87f17+7iMsJVYx0SqgU5IqeeNBuUczS+HL/J43Q0hFmnhsnhvyg2/t8EsfCWjFduqRMZKhtvNsVJp9DgOpoPAhCpCPV+0pdxW6+U3FoywcHylNweCmdO6c/jZraO/VVuqYPCljaA2AZ5+6fKxtEGyPlacNaSLp9DyU7+FNNRTJ0KNZt3Uoa8mI4h8frSuh9N5IgDAO6hK4x8EwztwZsAvWNqVg0+SBZdb4mvnfOZN72jG6zqWJlSO6JFUyxk7yR0/FeGHMJ78Q8oE/bzLUvpUnQuXyJG8qHrPERnR3TgJjgvECLJ7hqrAKy6DPUvbGbc9YKqV1rkqiPSpewg+/s8v+YwEf+rzV4qBIhWSgbe+mTMkZvCjAyk5ckbov25UW1IVkMcaxuSgsOks6LlcykvixMiavS3d40GWSG5EoZSk8CvySh7EqzpPlC8glfZJEstiyBOB5bgBONfSQUpHX6q6pjUYHnZf/4Hh9rxSjH3CVVi0xYaHXzJhEMaUg023RXd4yUBXFTkrpklTJwFxicllUB+a6O3+0swaXluEvvlpjeZiB2wLcl1Z7e2JUnoysOpldNn5CxvBd1toZyIvsHGPyhGLrRT1WJy4lSiu0toMoJ4KUt7+2x6fvr7HYUSBj0IoYq8fHqwtHL7kLM7nNAxVJoaw+JQs2jWPxHNDOJ9dm9TmXWamssauJlqUB+qXxbiNYKgN6DYDrcfkCDCO7t1Ec255VZ5LbADP7F0YCkVVX0iiYy6Bea8lZS2tnPy+3PQlRckvEqDSReWBZbjAYDSqz4TQFuNORADMLMrN9brwSe/u1hC/cXeHhZ6rokva2TQ2ZPBmtN8lbsxj9viOeOKPHbvTm2LNkFZa3wS43Q5hy0GkkyhS+eJL6eDrhJVdFfOuNPf7oiwGoCITECMFQeygh7BYkWaApivM7Llco+eAq65HI7MOsdkaWCsWknfFSMHdJpsjifOuMxNwbsrSIjJPh2sw9irtVz93/JanBuE1nvWzTeyHsgJzRk7H6Oh//h0dZfPT5iLMgy8xemoEyLk3G2VuMArtwUdxrZfDciDEpnWMijdPVJUmSOSayJFGkdU9CP+bQcclHvtDgbCew+11LO+hdCYodG8bihVW6u5zIWPsQjtxGEj0lZh/fajHT42ak697un2Mf7fYn6+sp3/etXe5/JuTQOQkiBhQayUDI0iZSUC6jzW3M8gVX5vM8m+nOQ5nNhX2egdkYC+TsvNqfFTLFSgr7XJO9V2TOyVaYnCyLyy/z8C+EySzuM5q82tTL6qp9NzdblA4+rF0aeyFwj0e75fet3jIjmruQKaXKt7y+ejVzrwJ5PiN7/Hmaa+88oZONA1YJSqZ4zhYMgphhqvmdP21y3+NV29smPau9pbRdO6KYv5J/1mxlGf++Y0xePhHlk7E6g1m4FsUe7+Xy2XIZrW0305mjkmoS6aESj1e+OOKH3tXm534nYJhI24iqJYlzVaQWpc9mQT7S5W5sSxqlz2dfl0f0ue56lwSyAWZWpGXjI+Msw3LTgxRF4FkcI4MecdxGtfmIo3IhsihdkAJczGI/l6dcx3nFbhA2UuFG6cCvdeVcCNCj740X3JTBXR7sMzrbIw8qBW6aEkVn9xiDK8fc2QTUkeAylyXWLbEDJZOcwf0g4a5HfT59X41h5EPVy7V3zt55YLs6czkelJeXVXtfu+l4tLaHopB/BNxgVFZlOFornmqJ1DLffDfbSa1aS3j7K/vccV+fOx9V1jZEgpDEwqNPcS7IvPGSXLG7zYxqcnsv1aVI+9oIUO77Wdlia1SMsMAvk5sRwjF3KdiVa+PGZMAek8AXBrcZwWySpK6nQeNNT6QonbJY1xhsb5vOIuLSVbzWbZUkKX2wbJlZK4s1zthlWSKEi8plybHI9G++n7pLlefJnWwSqs6f56yd3VUBbs+BO/BjVrqGL9xfY9+ZipUmwpbEikx7C0oTpMwqcOcrUn4MRAno3+jMFASSpchHymfLUmUs8TNeLy6lQuoUqT3iocelG2K+9eVdHt4T0Ipc+lVbPR6hyPaBsPvjjbe0FRRmXENvDiRp3ZaiGSJjcydVsPJDCldD7ojLlFgcRP47Vqdn8sVp7DW2DL8QwE1GCOBmPNqET7+fsNKJ8Ssp3vqpIQER52opg9i3kak2rg7czQA341+9APbo42pQF1fo2OxBCWIsWZIndkrALsCd+eBFcClzAJdALscCyiyRU3ZRpO2U16T84RerfOBTDbuThRpnbwrtLdf43GPLbcE24hsvqyVZMsKSI/o7Y/LVrWw633hXo1OJltYXV1ITpz5SaX74bT0Onvb5wKc94qQAuUYwFBKls0ESDtzl1rYc1KVIUJYwIEzReODeNyLzxt1/JoxzU4oRE6akr01Jvgiw07goFa2ZUcCPJ39GnSfjpnPZTrROX7PQ0uBrvKW2ptUxRLEdFwFuc1IBQo/VgpfOV6bhxrNP5V3FpBjN8hXgNyOMXR51kHncGbMXM/Gc9z3mmMgM3GpcnozuWa/c3jNWg8f4QczBs5JP31On2/Whqlazd17zXYoJRJHgKa9c48/hmyd5CgYvgT6/j+4SrXVW71ECuixt6yGtFpfSI45TGvWEt93a48tfq3LwjEsq2AHVpELQt2uN848duE0BdpOD2rkllGrEc0lSah8TVn/bGe8i19ojQJeFg5PhAPdamDJWRE6KeanJGHFkg6hsUsy4SQQare0mB/Waol5TeGcWJ+m2E6JE0gw1qRTEArspEIA2xZYqZjTAHM88FR9wrbFsJXYfWepLA2TyINMOkSkHl+XEjhTlweyZc6JHttuQJVkipXNMHJN7XsIw1tzxUJ2vPuGqBaVvAT7G3pltqYQYlVb5dxtNP1M6Jn/ZW87meeq+uGvtsoeZk+K2IrG6WxcyRUtSIVGpRAtFPPR47bURr31JnxNf8hlqq8NdJRQJHgNhM4D2I7uT6wzsLPWj8rOdOSr2WrGbLrjfEqIge2PPqREu8CwD3Yj8uRalWqQc3CInziLQFAWji6KEIDtwObhTQ5zYjx8Ggm3rQ7ZsquJdtGPbSntp8OUJxbelOqbb9+xUpbHEDYz63GvbgWswNm5CVumLFmAuAsrybOlVrJ0DvdhlYNQ5GdXfKk+/p6XnCVLaTh0ZJNz7aMAvf3iC1HiFcyIVQki7D5Ao0vKjDF6OH9Zm779EErO0zpYdlNGUfVmuaIruFaMFWhSOSq7JpfXGhfZIEk0QpPz097fZd9Lj3kckOhAOsvYLxFrRH+PFAqlraPLcC3erbfZ5HWFZy9BdR8L17jsgZ3Uq2e+BC0RzDI123Ge/I0sj3zL5V3zcQuMl2jCMNZ0+SOkT6eqXZ9dtXFHf9+2yK/TRQ4Hf+yFf9TEmoNP3SBJR+mpj1X4jNdpm7PXoe6r0Ok+zS/JppUVlYAbYsgVYSuSUAsq8oOoC4C5LFW8koWN7LU8uCX75IxPc/0TdbsojbTsa0seTgqqEUOI2uRptLl59dw3QpSK18jAi5dq9pBprmC7p+uK1KF30Y1ndMhmU5gCKcalX/pmB2ZmE0DM8/HTASl+OLTUynyJeVBxaJIkR4JeR8M2WplIxboluy8Vc+fWdD/QZv+iL90d2eChlfUc4xKmr5Y5hqR9DxWPfsfPfd/vXnt7n/c8/TxBCMBym7Jgb8qKdCe1edSQwHA0aM6unfKxKkiTrcIFS7UkhP8q/MyJXRrbFWC1N5Jjmzl6veVflwNKVwrrnaZDykc9O8Jm765iKAqEsOoWHkHKk37Lob/wGHfP56lVa1laf81UBkhl7vQoQY9324x0+2s0PNI65jdFFjYqQSK1IhYfsp7z9VX2eP+zzvt/ziMJkRFsa7TPETeHK8uupLTIxmBIojZMl9kI2rlfMGUA22BQ22JRYBs5kRiZtMzPBZPLE/Zt50IkNUinrcUouS3acc8kictL1fck6qXnVLctcfakAFYA2eCdOTyGEJIoi2kt9ROIzM2GoVISrDzcj8mIU8OOSxKy6GCTkwxhl6XcK58Ssej4C9szvFg7gJe09wuAyLTkpZXCnyFLtyZ2PhHz4S3UGqZuCLzJr0GUthRnR3mum5svHAEaPAaOPo+y3+mYcAjLveVVGE7OqhNbIUmZTlpwVoawDJl1xltSk2iP0Nd//5i4PPhVw5xPSLf8y04ho4zHUth0tr6DSYzKllAAy2AFDOejLIJfWsrM63NWHiyyrWSgAkx1LM9qIbMwYceRTAVwNiyzmWhZlJpJKqNi5RXH1jim2zYDyfIw2eNdf5COkIIoMw2GKNh6JzoKbskTJvOk1gsYLAv8bA3sE4GV7sAxuUezspVbpcD3qgY+zt0yLANOL6Q3hF39/gsOnQoxX7JY8or0ziTQC7DFAswaYcwiLUTx/A0E+Pg5vNKNZLr4q6/HVtSlauopDWWZxhUg1QnjISHPR5pj/+M9aPPiTIZ2B+zJa5p8rxWOQy4HVILfAdc8NucOiXECZATtzVIQDca7NSyRQBrpwBVqjPysTSXlSlx1NoUXRQmdZ3E5nE0Zy7MwEZxYDlPQwGLyd2+fywT/zCxG1itWKmUQZaR0rA7QkRcbrS0b0YCZVVoG+ALQQ5gISRZd88BKwHejz5M1IMqe0O6/zvD0vJknhtz7Z4Im9Fet5y4y5C+fEF6OyRIlR1hZlsI8xN7lUK4ZursXXq5h8zDkpGiDKGTpbzLSq2lBYBs+DTi0tyFOJFu6eOqmiNdftjvmxd7T4X386SZQ6Foc8KkxRDHWmxddgchfkKVHKcgrbAWbKbJ61rmVyxCWIpGNhM87oYg2LMCvWEkWgKtwKIrHHQ+THzJBqQ28giFPBzMwktUrDDv55y7e+mVqtxnPPPcftt99G4Ct8r5gSlQWEWcmqKFX/5fKDsQ8qXdVa6YIoUvZl7V3ewMhcQKKM7s9YsHdaeOHlpM7I3QWWlZSvPBTyoU82aPV96wE6zxuhEEI456TIWpZLecs6vBjNtsYMwpGwTOSvxTigx1h7Fd5HgG5KzkqZtd1U2EySlJNAwtqIqVRIo229SqJoVjQ/8M4ejz0XcsfXFdQSZ3e4TygFiZYMyGKKAuQGWxpLbltaz9vFqmhtJUyeVcxAnAG5JEskogTu0fqUPOMp7MWQrZzGTcvNdD7OPrQ2oSFJDENpiOKEm1/6Ii677Ap6vR6e7/sEQYDv+3bfSC/b1911po8UO40CtPCDx1h9RI9ngWUZ8KakacdkSUmSFDJFj4G9YG5Z0twy31fdBpZSJkgvYe9Rj//9iSYHFwPbfu38bvsoC/YuuUEjIF9LnoxIk9FiIXFhyV3I2rFalILFi8RK3gjBWmn8sSFBWSGW0fmmsiKTKsIgpIeMDbumE370OzocPetx4JTAeGWBJUD6pA7ka8oVkQG70OASe7woATAPMDMWXyVd3CVkxmKYHPAuIM29cxDul7NamPIBFUJb8jEghMLzfJTy8IqEggVbGNi92rOprIW1N75VhQMoGatlX8owqstHmbzYCaDsf49uYqTcVnUFm5fkidLu9XgyR7sqQStNpEwIwoSzLcEv/l6TT99Vw/iqSMc7abIWe6vSBbjaOSnAvVZSp8zohQ4fBfwqW8ysfm91TUpZh2eALgegWeePdLUe2XMXfKaaBI0vravSGkp+6tcU51YEhCUkGoHBy5m8ZFk4GeIenSZXEuuolANNYYdFlR2SDNyFdCnpbCPWAHhJ+hqX5s/+O3dMyGVbcfQCT5MNhFIKpJAS5QdnPV/evnnjFNUgpRpmu/1mc/xKY9BK9diFd1228ta+j9h8uTNSTtiYUYck/3cdqJ2vLeVqz7tsCUppwe17CRGazz9Q5SuP1FytSWYJSsfgGXsXuwaX5w2WA+dVZbElLU7pZ+PMnYN/rYK1skdcBjQZc4sicCu1kWUOSlmP293w5MhELJv1VO49+zxJPISRvP7GAW95aY9AJJAkoEt3k2CMJjEw0DDUgkhDrAWJgUQLEk1+T93r1JS3InS7VRj3vil2c8u3LHTbVKZOQ5d/pt3P0zT794rfsfMI7aZbcWKIYsMg0nR6MWFlAhC3VyqVs0op1G/+xm/wrre9dKVeYaUaRN8dDc5RDaWTKNkwy6LvMStbtexaFNLkCZwsqaMyeVFO9IzVdKu1LoKSzi4nc0rOiRwDt5RFxlJKO+cklZrP3lflv/7uBEfOhq6JoUjoID2EFIQSKtIOss8kmZd/tvHhQhQjNUQ5kZWN2nCbd7mm7fKQfhvty9HETebUjd/LAW1ZFpZWziL4N84/LuUexoP9cpwgAG2YbqZcfnHCifOKA8c9m/DJr8bsucytvmL8RfE75QkrY55o6UK3f3w85jBjz/Nr3jk5I5nd0u8XozWykmIH/BS6/ZhNm7cRVhr/7uln9z/0qltfYffoaVR7KC9hot6n34zscpS5+vmHLcZ+FW7I6J6ImZW4SndnvysKrV2WJvZ9PSJJRvV3WYNntSWj4Laa21UK+ilHFiQf+lSdfYdCaKhcktjEjtXemTTJ+ywZc4rGmbt8z4vKxrN/FzjfIjuVYtVJLU64wA6jL7F7yUWReRXiaPpeCtDa7jqceeMiY3ZXTyCERgvlZoh4xEPD7l0x3//2Do88E3B0vrRU5UEnGK1IkAyEDS5xI9yMNiBBaavLbTmtc1SE/WyqLE+cdpbGjEiQ3FGhOK5yVaKnuObKqi//u1hN3utrFlZiFlYiBoPSJlQbNu/G86t4IqbfOkCSJm6SUrE0Ujo/RaC12iEZtwJHwT/mmOTvjbomo8FmtnV0obOlA7nM3BLh7o69lzqC3/hok3ueqBRVglnG0oFbSdwOxeUxyEXgrESZBVfbgmsBf9wC/2ZZ7XJwWaa1VeyVB59W9xphtbfUdgpZDv5SptMWNBlbESqM1eHCYHdAVmihSXuaV1075F++p81/+/1JlvuFm+KKux3IBYl0csk94rS3ccA3gHSgN1i/GmFKAM88cpGD2JRALtx1ktmII4merMivZL9mdeBZRWGSwjBRbN++jZuuv5pOt1cAvN7YSKWx5Y6TB+/85Uol+Kk4HrrhMtleMUXdQMZGZeYWawK7AHL+vjSlIDPzv8uANsV7JVBnYFcqdexe8rudLJGu3mQgDL/zqQa/98kGndR32Uo14poIYccMZ87JSFFV6fuNZy9HmHoczPnqJovjxDe/ldP0OTuXMpojbkvJLixv3CpLI98y5tZSILS0x9O4Fi4hEUIhhCbVChJDw4/5oXd2OLeo+M2PNulnVKkzNs/A7JFIYV+7lcsXo0D3pCDRpsTcIm+SKJlHiLQAuqEAcEYkq5yV0gpY/ndMpuWNHZ1cqVQ4dXbxl19y/e47Dh4+nS1CUG1u5bG7/0tv0F88EviSSpBQCe0e7f5IcVM5uCxr5PJjEVCOBpVjzkgpWCyYerSmJH8/d0bSXJ5IVQA9A7nxNM8fCviTO2q0Y7dBJhmwM99bInDSJL8XFY5Z3LBmpnLkYLNq6RyRsCMw/sZQL9rVxizDLNA0xV6WxUVQakrOezfl6Ot81IRw1qHK29u0UVZ+xIqGZ3j367tcfskQmRaBJjp1j9lrQ6JhaGCoITaCWENisuBzNADNg81yYKmLoNMGkVmAPPZzPXrPBiDlwWoKcQpRCoNY0I9ASJ+z5xaPvPuH/mvvkl2bCwYHuPiqtyJljc78bbTP308/atAzfn5gsxMxvge5+GayZOx5OS1f6HA98vMM3BmbZ/UlIrMH10jFe37K04d9fuyXpnjmQIjxZSFLcgaXJVuwyFqO79SwljW4lkwZSeyUArEywv8yLF4W5Ln8XsP3LlL1xtltFrjSFJJFCxvgaiOtDDDF82xCltDWG0+xmkBEhmsujnn/T63wQ/9d8MxBF5zI8hKTfUKPRIs8NR+U7UNX2mywIyoMBpV9TlHKaJazmZDbfqtqmUpMbsaeZ51OcSLoRILzLcNLbt7NP3nnK2h3+3z8g/+5YHAAz58gqEzRjQxnV1ZQaoBSxYD0XGJcoBgqa/xVpVLWEfYuF0cJTdkRyf6tcUYvF06NBpgFa1twazpG8tufqvPknpBUlVg71952KkhuC4pyhrJc0Viw8vjcwVVjIcaW0ew4fYPyk1FcjwG7jPAsyC+z+mpmL0uWYq5hzt6ljay0lq5xufSeUa4rXyFSyXWXD/nnb+vSkKkVtTmLp8WjScBoUg2RsWweaUFsHJNrUTC0EQWTG8fWKSRjDJ1bidr996X380m7pec5JrErxcBoZmfbbNmo2bJ5ki2bJvLjmjP46aWA6cnw4J/ds+7QnXdv2vUvvq3P3IRHlKhRzbxGprIAQuGsFOw9nsEsPeYBpkY4iZOztihLlMI5kTJFiiKw9PyUnoYPfbrOJ75SZ+iKpwrm9nL2lg7cxZZ7a+yzU2bvccYWBbBHkzmikCyrkP3N5Mk4e5fKU7OLwIFcZ+w3xuiFZDEuCC1kjTBWi2upEUba7hlj7HNtrCY3tpcxEIbveG2PPcc8PvSpBt0Ye8CcDs93oHK3VMtSoVWR3MEItCs3zpqRZRaQYnd9MK47ZzyolONJnfLqabJsuT1nnoRQw8XrevzsPxlwxeXpoclZdXDdRPEZszY7fvPXf52rrnvdoZnm1Lp0EN0a9Yd4Xi2vxx31b8uNv8XrVQyvxr3v0edFLclopeC4/i5kiwV3Lku8hG4Mv/+5Ov/99yY4txSUunOybGX2WuIJ28gQjDQyFCn6fPZJ2dcvXwBydC/I8S1Wsu1Xin2FnP+dvZf/jJF/Z6SQq9RUknvacnxK63gwXwqOSz0N2XtFnFC2dksyE1fngWGymXL9FRHtnuC5Qx5RMrY8MXqVG4S1K6Go1XYXdlacWKw65Qta5L+zqqoyD6xHh8xln1uKbPdqmG5Its9Jdm29kunZq39reeHkBzdseclqBgfYPOcRhsEXFzaFb+11pq/t9mM3MD6bZzfagFBm6VGLcPT56t8re+GFiyJKjknmlpSlSRncSqXIiuEzX6zx3g82ObvkQ6DG2LvQ3pk08UWRwBllbZMzxdred+Fzj5znkdMlvhlhf1M2NyUpUkgVU5z4Val7XMEVjq3thTTC4E62CJGxNu5ROtBbFkd7xJFh41TKz/5Am8W25GNfaEAlY3BRMHl2oACDJHHfwTo4Bi9bjbQtvMu0eT5bPLcHHVsDwpi8SKvM7EaUN0QrPHNPCaoBVIIGR89Un9x28cQX+4P+yDGV5RdveMPrOLzv/vsn6/Gjc1OCwNOlxEaRjcxdjpEm3/LoBjPmhpQYu5xyLyVwMllSrgYsfO9RcEuZokLNwZMef/SFOmfmgwLcYuwu7cRcTxTOiecKhsY7dcqN0DmYGZUlefDo9Eqhv8tM95cD8zcEOoX3rcuypHQhFI9Z6r5wVfJUvi6n7cvp/MxNKSbVmmyAUCTZOJvynm/psWtrZK0KU3JURtyVFIzGGENsYGCy1L5zWHShzbN0vnVdCudlJL2vCx2fjDkpWeq/qImHKDG0e5qTZzuP/smf33b/TTe/auRYeuMHd8f2jQghWTjXQccpnocDbrFTQg7MMZ1tgbHaG7e/p1f534UWH2NuUdbd1j3JmVumqEBz6LTHf37/JHc9VrG6Q6i17wjXqVOqjCxLAnEBqVDW47LwxS9USVh2TUZsxTE9v5ZLkv2XZizqHAVyeYffzB0hd0eEEc4PN6vYW2DrQoSWLkkkCwbXKpcuqVGgrTDQA8Nrrh/wCz/W4j+9f4LDZwLwS5fmKl3uAfYzRaLwwQs2d2WyFEmeXGs75i4f4/I4b6nNlgAALpBJREFUNyVMSfo7yawhTm2U22gErNuwOd8d8BsC/Jrrb0VKL3r20SUWzi7hZ9thZ8N0vDQfYSyEHqkczNP4ZPUPLoAcsQxH7UExIkm0+zedzy1GwS1livI1R897/JffnuATd9SIhNscM2fsQpbgDmBWKZjP9x5j79Wtd6xySMqJnZHM5RiwL3gr/3DsPGSAFxTSZOT3suRP7qiM1omTgX4ks1k0QhQZTythhChqyY2zFEW2daSTLImGipfwrtf1SDX8p9+a4Nj50IHcfaEc5NkBsESjEURACgR5212RupfCjV92xz/bTVsIa4FmxzorlTCu5ilbzex2lIYEMNKwbv16/tG3vD5KkpR/880A3mjOEATNn5ya3XFFZ/nEq5Ro43uawHfbXefsbetvC1AXz8lS9+gSm6+lwzOAp6NuSg5sC/KcuT3NsXmPn/7NCT55Z41IuprIEdYuMpdFxvIb+92jXTpjkfs42EXhd68pX8Q3hPkFb+O4HsloMp62d1A0pZNuRm1D2/Hi9LcDtkYghcyzoMLI7D92Ghyrxx3Yk8TgeynvfmMfT8HP/OYkx+aDkjUxfrFmP5C5LrfND/Y8eCWgS2Ena9mmBpPr7vH9MwXWgcmGfXq6tLen0aybqXPFZRfdfdHOrT+5stJZdVxXATwMJ3j+qTvayqvtU573Ck+kKvBTQr/Y36YsP7KrfiSxUUoCIUze3SMyNneMLfJVoAxu+zgObqFSTi8pfva3JvjkHTUiNQbuVfrbOhx2gE82/nitOu/RiQDZEpkxyLgWzwA9HmBmZ7sYvfBXQ/coeFf74uWGCE259sQt+cYRaQ721bZhJl1sL2b2WW39eEbAWrs0jTAIo0gSg4fmO17XJ0kFP/Wbk5xZ8gssu/qTtW/SZh7dnywcFxcDmayXQoys/HkgSUEoUtvz40nwTf5TfN9Pm43avr/4zO3td7ztjd8c4Nktjds/NjUZ3GTi9LpqGBH4CUrpEZ09co5KtSplgGfgz3R45n8XDkqmxdMR7Z2n5UWKVJrEF3zwsw0+cZtjbrmascvSJPe8S+D+huydHWDW0NtCjEiSC+nrYr9Q8VfF92g2c1VSx4z+jhlldG2y7pjy9iOj9SnC2RZCW1BbLW7BhCvIynxybQxoZb+DNIjUgvxdb+yx74jHL3+oaV2THOTuypLlK1KRKW+DDTjTbDVF4OGkorvbrKXIv+PIBZ7BSthufk9CmGqaKJRfe3pxufNjs9ONNY/tmgC/4kWv59jzf5hO1LYb091DNRgQp9lfE/lJyOokVgE8+0DjpbUZwLOAUxYgty6JzjV37pwoDZ7g9vsrfPz22v+/vS+Pk6So8/1GRB51dFf1NT3TPVdP99wHxwwwHHK4KAqCIiCg6/VW4SmKB7ug6PPJc/chHg9UVnirDxFYPi6HPgTEA3UFZhlOOQSHGWaY6bmvvq+qysyI90dEZEZkVfc0wwwD7IvPp7qysrKyq7K+8avv7/s7AmXKlEhsAlrnnMhoJSGy0kRTE0vLRsp664tMaoM2LY6YXNsEtHWAdQ0mBraosc98zi6E0LSEGI6q2WpCJWFxNSmFrGvkhnRoRj1j+qKqgQj0r7GUKYgKunMAQAifcFzwzlE89ZKD363OyaAONd45B5K6MaG+H8Qgj4QMCjFIRcQhcmGreKVj42JwITk8F9LqG8iTEyIgaM4RdHR2iO09peiij58zeYADwLTZb0MUjdyx7eWH5u/avSe/pIODRwxBxAy5iUppSSX51LTiUBYbUi3RltvOQ9HgNlJhieTcxAHuX5XBFdcXsWajLzlHLa2b2tbbI3YJWrX1rnYs0xFMDWLb+bR5Sxrb9gTYxxC19yXWiyQaOEzHMqWJ6zIwy4ILiBqqClegJ5zGKyxwy6pLh1NQtfKHBhcREBGwtDPAtV8YxOUMeGBVTqKVmZ+UjfNB5Xejc5u48lGVSbKulQ71h0oOlB9QhZNCDiIiLOsYxZzpc/DRC05Dxvfw9b+vfYnHBbiXmyPuuP/ffjAwdMIljz/xi/w//pd+5DMEDQ0UlQpDuewijByZx6D01LQV19bAVlCS/BP5uBrcmpYQB7j3kSy+8sMC1mwywF1TEpShP6IstwNYyVSUyMWULAkQ1dHBKvphOpkTAJnYH3zfQ1Qfp6mlFdxB7cca7Mk+Q0qE5t6IAa0VFZKiLZzLa8aFAIn7pKikAUoRCQEmhEyvBYAKsGh2gG99dhCUAPc/nFOcbjLKPosna6Tes66XMPO6QsjJJT9UCPAKUAmBcoS6+gD5bBmfPKMfR684eaC1Of/PjpMd9587E7wrHHPEcgwO9uKFF/6Aj31DoKsjwjuPKWNZR4C5bQFGShlU4EFLRtz6qjVgpOqSAD0tCYqa4IYD3LtKgvvFDZ7UumktUJvUJAnoJNbb4Nk6DG6Fq1PgrbVPf6oU4KsRniBWB4ImA/RazqWlqghU0ZA4b8Wy5okmLvt1G7RFAdpa+0dQEFWFTwRVrxUqKKSAp86pKYsEucDSOQGu/swghAB+FVvy8cBNkyeFykGwQvzJL2HSH0YAIgDCMlAew9zpo1jWUcI7VpYwd2YZW3ZPhVd/+MCOXTt/tmju3HEv74QA75jeXH5xrOdTO4eW3fX7J/+SX/UixX0PccxuH8Mnz+rHOSdV4DoyI01/vfHq5+k0WcJTFjySj82wPIlAqOTcDzyawZXXF/DXTeNEKUFhJlKBJo6lRUlQSzlJO5c2367aZylEGrd24QOs54wd+8b3+M+JxKrHYXtto2v0LrTyyq3mQTqkL6040hKiVldUMEjHyWMZEQKEMkRcv18GUgmxbE6Ab106CC6AXz+ahRm+tz+h6SnqDyWVLgiLiSWXTQAII9SxEs45vRcXnTWCjmkCTfUCWZdjy1DnyPYS/dTeUld5ous7IcCfXjPKmxsWPfmB9/iD9z60KT8WMWwfY9i2JoIAwxFzezCvHTJokMxv+R6tzEEp/RGIKodSA56RCIRxCEbwm8cyuPz7BazZqMFNbWttVMXHvBtIqnQIqrh3UqVjW++agZ4YrCRFW4j1Wv1tEPXXngDGl5WmIjWAbVIRO8JZw5qb4Db38wQsphYuRY7EikOoZp0605AIg65INUW2EpGAVT6njOlwLR4woBJhSUeA73xuEEIQPLg6gwgpkAuuUpVrDZayEArzMX0jmN1ewcVnlnDUvAxGyy4qlQg84pjR8f7BWdk5TyJ6hU+EYTrRk0u7WtHRVtwbRMF5Z7/j6CBPCWY3MExv9vHKrgI2bs+hXPERhrJSRAiKxL5BWXGdwWaD2yo9U5ZbMII/PuXjsmsLWNNtgltbbH1zUgBHnEylfZ6qRCqMkw6Laktug9wGtGWwUw7pgRi1VBSr+CF9TMy9k+ofs39hEuKvscCs3o7bTOj+KjSuBrJyyAWFECzOI+ecgVcIFs8OcN0XB3DK0SUwrnpBiMjIVUndYl2Ew5ylRH1/HgVcSkAdFzPaHExvzmLzzinYubcJQ8MeaPbkgIfBeUDzXkFmTHg9J7TgGd/HY8+ux1FLOrYFpfIr3WvXLfAxCt9zcfQSD51TGzA4IgCj1AxKNZHgEJaVptZ9BEKjOOAjGMGDT/j4wv8qYl23J5O2LTlQg5zVBLdj8m4kIXl78dbEepuA10C2gV6bgpjAthBvEXX7Ou4L/2kd3HqC6NUW1L1lwTV4E6uvQ9laQtSSobbiMdABRUMSy63lQ01VBOXxY+g8Fao4us77EAAVHPNnBfjnfxjA568F/vB4BpGm3lo+HM+UGs4MgzRSPhWyoMgh2LS5ETff34CVCz04ToC21nq0ZI96xamftw2Vv4L6Sya8thNacABwHIbHH32iu+jxi859x2LMaCFYNsdFW2MRvQNNGBzJIghkuy/Ok69Sp9bWSn8lCtyMcDCXQzjAH57MSHBv8SAmUkvitr/y503nmpjheLNhaHXaa9qZNCiLgVETyGkn1AK7he8kAGbKjBMC29gw6YZeN8bep3m2SHJQeIqmwLDasVVH8tiy1tXVQEmASNFOw6IL6AZCuhpI3QsKUSaYPzPA9y4bwNuPKYHqokmhrbmxLfQ2h8nHCKSh8giQcwRacgLtOYoduzN4bn0G67f4GOLHYk9v9qI1z/2lW+JhH/jd1wFHLZ2DsdFRZLLZHU88kXkkGOk+0XdG0Vjgyg+Qa8Q4XPXlsr7shJ4QQ/PWlpv6Apt7HKx+1sdV/1KPdd0ehJdSR6rSX1nshRMkcqBDZNaapXFrBxMJkGulxdIJJoAxY60AT9oxNeFOhPmoersm2GNHUh5cRU9IYullf29hAJskxwgRN78ksVVXUqHO4qvSxxXn1iSeUxDVihnKUOj2fmalPaC29TUMOBbODvCDywbw9R9xPP6Mj809DuAZx1K1hIrWT4ht3pnqdKAXIgARGBgK0b1dYPq0AjL1Cx+ZNfeYHaVSCcTL7hPg+7TgAJDN5bDmxafXNzXW/2DlUfPR2jiGxkIFWT+UuSmp31dCNE1JVBNCIxAD3MwXWLfdxTduKOBz3yli7eZJgNuiJ0jSYE2rjeocb0s1QTWQY5Aa1jd9LDUCPon1TpnrNJqreEwNYJuEunrTsvKWnGhybEtG1BOh2kqPZ7F1806RtuI8/dis8WTjWvIFswJcf/kAvvaZQcybHgDl8Sy5EcAxdH59H3FgrELQN8yxfc8YWtvmwvXyP3js8afWZ7P7BjcwCQuux/TpM+BlCk+6dOiehmz32ai8BMchcXmZNFupgA7RcmAUb1PCwTIC67c7+MaN9fj573MoRVQitSa4DeeSJrybElhqiQZ5XKkDo0KnVjoshAHe1HOGR5mmLXqzyuk8gI6mBW4NTJLwcL3SiD4mVlCoBrZaAEqYvwJGhBPGtmnNuWrHRvX6llo+pIBKdtL/J26flrLkIAANOaY2RvjwGaPwPYH/8cMCNmwH4KsDRKSOVedWnYR0bIcLWewwFlIEXKBvhOOE5V2YO2/ePZ2dc57s6x+c9DWclAUHgGLjNPBgb/eMjpWfb26m99UXSijkh+G5Uaqhj8oviZv66Oodae2ZJ7Bhm4urbixIcIMB/sTRyRjc6u1qrhYHdKDzTcbpCmuA0lJSjP3JNrGa/9RKsLKQjtR50rNhnwi2rZbmJ2axcZX/aVnlhGsDRk8/rtvvmZbaVFxSvJub/Vf0PqmMiRrWPTm2BifnFFGJwOcC5506hq9fMojO6YHi5MaNJ1X6EFzlnyQNO0sRsGtUoOI7YHV19516yrGf376rr3vmjLZJA3zSFhwA8oVZeHj1I5td9+0v/HFV31nLZ63B3PZMHHWWPU/sRj4y5VWVoGU4Nu108fUb63H373Mog8n8R6LAm0p3jS061c4lSVQTJJKg2XYtnThVBWjFvWHshwHOWvKgCXSY2ri138D9flhzi3oY1llvWAEdYr5GO53pY5L+hSTen7LcMKKdMTeniosrsq2VFihrq9+Ysuhc3+uLoJxeSghEyJFxOM5/xxhAgK9dX0D3TkhLHmcFEAly5dCGWrdXT89tH8JlfzsNR61Y8cJLa1dtXrTwxFd1XV8VwAFgOOzC1Oa2bzFnQ2fvkLigb2gvCvlK7ESaC69SVYVDWYiKEPjzcxnc+PM87tKVOMwI2NSUAE1w23q3jljGFhvVjqN2LsfTv0kK3PG2Bm4MWOU8mrurHMzXAHIjWokUeLVjaAFeP09sBzRxJuUBet3KJPiTKo4AiUPyNnUxshaVpaagEJyDSzTHzmYCcg6uf2G5vKCUEkSh7Nl9waljQATc8PM8nlmbQTmCtFBcXUhKAU4REgcRlb/QhUyE4xdMw7HLlt7R0bX8W8DmVwvXyVMUPc44sR3PPv6bgVxd199NaSyuCkIPhCQ9uh0aqj7dYdzaYUwAP30gj7Mvb8Idv8+jQtXiqzWqcCxwExvcFInl1imwE3ekSkmAJJHyqiKXCsjjKSmmPJimIeb/sECemijjYXtScyAuTUs5lRrs+nl10iqLDvNxOmfcbg/HY3qSoiVIJka6ZZydWcoQcaZaxcn2cE4EXPCOUdz73V587D3DyFPV/DsuZA4AHiLiHCVVdJzzGYIgv6pj0cK/27ruDwOEdL1qgL9qCw4An/jI6di97ZlRiNMrezffivrsDrhuANcJ5HJ9NJD9ur0QIxFwy315/LcfFdA/5BhWW+dwE+ji4GqAUws5SUAnsd5aCiREZx0b1hs1opcE1aBPW3YN6Kp9RnM2kuwzkV8T5DUBC7U2pA32uCaT2FZaS4fJgUouFMK25JqeQKRAjRigOoSfWHbV+o3oFnCAYImMGLeLSFlyCgEOKpv6KMMurTeXwSU18QiVzQQZjdBSF+Gbnx4EowK33luHkYqQMiKPvQeU4GJvAMxpb8D5551ZeWQ1HT3p+HfvD1T3D+AA0NA8FxD8CRfLjtu55aXsrMIwPBcQXKa+Modjw26KXz6Uwzd/UkD/kKv4diqXBNS+J8QGt45yWdbalgKrgFwLuGlnE7XBbqLSpCPp58ZF8biyyvimPAa2jd/YEseFLpYmbigqNbIHTUsf0xDrGA16W0mRmBRxlZAseJa5K8nz+tdC8hQOKO1cu7kEBByEEzUFdNkcheAhmvIR/vHiQWRcgfv+lMP6PULGUDgHeAjiCHTNdHDKiSeNLV3c9QSjr5poxGO/X+ll6uF64qusePr3HnzxsBInI9g1EKBCQjj5CKvXuPjM1Y346g0N6BlxVccp3W3KRdLx1UmBPgVukkiC1ipoSAPdkP00PakCvRjfcteiJ8Z+7GMi1MT4ZIYwXpQSwC0FxXpMEktvTZBEgTFvtfZxy6qPd0MC6vGUFqujraIpqs+KVlUi7oBzBxF3EHEXQeCgMS9w9acHcf1X+7By8RgwFiJHymhvHEZdMIgrPlosffbDJ36POfSrjQ31+w3w/bbgAEBYA//uT+66amrjnOCxtYd9+cd37/KWLqhg5rQQP70nj4eezkpgO7UkQKWSwLjXplL32FYPY96NVOAGNkiTx0aEEqjJqy1unaIiSAPZRK1WUtLAruVw7o+aksJ53CLCOJdp1bX1TTuccXotSYHbepxkJCbR0MSic5C4uFlbbtnPW8mMIMpC0vidy7YP8idDEBJHsTmhoERRGyHlR88N8a5jSvAd4JZfhpg5NcKSuQEef/FwHLH8A73ge69uLLTxyVy38cZrAjgATC0OVhbNabnmlnsPrzy98YVvLJzzCv3T4z4eejojswH1qmY1CoOT3/4U2gxwyIQpoxMsYHelghHUIah9D9uipx1Hqv+fqYxoIMfgJ1U0pwrEJDUPYP8fC8U1wB/vNqRA6/kY7BqVRAJJh+MNCsIJwDSAa4EchupicHGhWyPHHF3EgSatjXMiVzKz1uiJ37+kJxD6ly9J1+CEggoOQRJ93eEB3r68hE07GTZsAY5fmucrjpj6T1M6VqzLZTMT5npPZuw/uVHjI+d+Ak+v9cbmzj38nms+t1xcenYFHdMCqZlSFyAeQD2A6ZuiKboLrOlYpsE9Du+OOTRSFlyrJEAVGGs6lkBNC56eCOPR6Vg+HO/5dPjTAEJ6e7yQfXwzFBLEyVRpaiI/gaWwwAju1KQgKXXFkgprUBgkzmqczFV1bglgHdKPIkeVN8r7MHKNmwMQ4JVtDq69oxVPdZ8hZrYvuXNw+z23+5QErxWfr9mCA8DJy2diU8/sl09cIC4ZGTzjxi27Vsn6MeoCzFfcm2lUxCCq+nJTGImttXGT+80wu9k0XYwD3uqChlo8u7Z0WOPYFGBtKO8nLyGTeN6wvma1Tzr4I6P6JGV99QQxiiWIoYObVp6kQS4P0FYc2sk1vzhC4omXln1071quKidklJtBMAJKOBBVMHtqhI+fezIPnOWXZJraXq709R4IaB4YgC9csByi/EwF3qk3XXfHKzlkZl+3qGsb1uxoBGE+HEYt6Y4YX4ZOf49gqwmmJa1STUi1tTVD7+m1LWuF28dTUBJrnIpYwtgYj4qkjpnsSFOTKrnQCviQWBq0VBYdxCEamDx5nba2RDXdif+JVlHSWjmxuLjm3hrAJE6MSmiIbaRoPDkA3W1BGNdNtgzhnMJ1OJ5ewzBz2nSccHTw9z/aetxNjavXRu86fsWBgOaBATgAEP9I7Ny9Lbr4ggs3lAeah7578731G++nyDACnwnrJ9P8YiNOEEKuFhCmnq9l2WxgC6RzSqplQlENZuNkccvjGhMH1nHjMBVSA+T7OZKPKwGhAWe+F1vvTsBPTIsN23LDtOLx67VzSlL7Dd4NW3bUncz2gYREaTHyyNOfUwgCh8kStKc3dCLX+rdDpyw8fsNXpm+PWqcsfA1X0R4HDOAA0FTI4T+e23PfvFknfWbWnNz3lrQ/1DQ8MAhCGUohQcA1Z1UWQBAERABq2Yqw1vVT33piiA3n0uTe6VpLJK9Lp8qaYK6poBjWnJDEwYz3IXnhPgE9wQFp8I732WGAL6EkZnW9bcmr6IbOLFTAllU/im5wgNMk81CDT5lq9Q+JZdnjj1bDxdCv55yCq1oB3U5Ef+9hxBCEsi1cLt+MD7731F6/acUXPGfrfWJ41oGE5IEFuJdpBADs7R287eLzT3Gm1tFv/fJXD03ZsHUApdABJcmyfQTJYkpcACWoyJcaOuFGpC5iTYcR1dbb5N7ma/V2VR0mbPBaoff0pEA1bk0ByHx2shY9HaVMO6XEAHfaoss3lygmyet1ywj1EcwEK+tchmMa0x0lB5oURb0ZzcNjN5MAhCg1TyVkCU4RRA7CiMWMijGZgAcQjIx5GAta0Tjz5D3ZxhO/xMPgNuIuPZBwBHAAVJRao6WpgCis3Pzedx9/5YVnLt6zuLOCoaCMEpe9urOuQN4TyHkCPpMXKNQhtyQCET+Mh2V1TepRo8+JAUizoWaS813DudTnNrl28l0mqDM4ffwYdhjfetOTGWbQBjYnjg+JaV6iYsA8Ls5HSVSSOF0WJD5XTCGq1I+UomLc6/NUTXEjPdpcekZAWupSxcVY2UM5cBBFFA6LkPGH8JdugoHosD1ts0+8Mgyjm/1s8WBA8eAAHAAaGoro3fbvNx25OH/Fhae39na29WEs4PAdgbzHUchyFLMcGUegFBKElVA2eeFlVY3N4zCzEPbyIVVLjMC23nGJ2jhgjWkH7Oct5zGmLsR6XMW5Uxxjf1Jl4yFqP47BHO+vlWdiqytxYyh1Hm7SD7XPimxyIz8cteo0jfOpExACY83TEA4LkfHKyGXKcJ0I5YqLoWEfQyM+RkoeKoED3wuwbvsYnt08o3fz3uwV/+f2P96Uze1/pHJf44BSlPToWPRebH3pX2+d3t5VWTKf/u+N2/bW1/sMxRyQ8wlcRgAqsHO0H9QtYaxCUal4gOtK7VzIHIakWERe3jjvG9XVOpNtCZGOLyUPq+mJNUnMY6q8y/0Au+Fj1FILYxph8XESKxkxJ9f0Q3FzEjuJam14Q/LTVERTl6SBquFkxiDX6+IkEyO+Zqpyi1G5yrTnBgijCGOBbM3WN9iMnT05uA5HLhuCABgtUdQ3LMeHz/vgHpDM7ccdeWA5d3ocVIADwLX3Ue5minfUF7vC047O37J7+6ZMY72LYt5Bsd7BysMCzGgbRUtDD55ZD3zz9kb0DOdl1SlhicMDk2fXBjWNAVith9vbiVZRMzclTVuQWHz9PqxBqvH9arh3mnaburZ1jHLySGqfyb+t4mNiBnoS7duq7SQS9ASG1JiOYoJY2+bQlVueG2BotIKrb6/DMy83olBXh84GHy0NDA0FBw11DFHEUWg8vDRnxrSLWufM3kiIF+Igj33X3b/GsfrBn+PsM94vpjQ0v9RSIH9tLrrvjSpDTkujj7YpFHNnhFgyJ8D8WWUs7BzBs2up7IuilgOkhMKlupF9sj6iXimNEVQty5deX8dsI0EVwGmt/XpZQJIcR+g42ySZLFTNkGQ/UdkIqX3Gfc30XesXhezjeXtbO4uxeqQCUtSItlZ36tLb9oS39H7zFvd2NBb2ZREcJ4Dvl/Hvz7q45uZWrNnRgrHRDBwuvyNALpfS0jq7VFdo//DU1ua7t2x8rrt52mEHG34Hj4Ob4/JLP4i8Oxi1tC3+xbyu6R9dunjOaGNBoLUxQH2+As45SmWGphzFp98/As9P6vTkdU4qduLlLtS2CWD9s4lxwDPetkaA9QWPw8lhvo6Qamt+gEdVqD7eNrg0bI6cLoqA3me8Nl3EAPO1RjV9UtRAkpXcLJVIAr1S4bjh/+awa8QD8xkoAYbGBPb0B9jTV0G2fsaom23/6BHHLvvFi+uCaN5hH3o9oHfwKYoen/z4hbjzrjvFkq6+uzb2tTu8HN1Y52woNhWGkc1UpAdOBOpzktdp+YQABrjNhva1lgAU1daxSh2xLSNQfax2Lk3HNuHkBxnREw0FwljvRiIL6v1cEDAkT+rqek1B4sZBMDg3pJ9DlSauiT0RRFbOQ/4SycWiEvAr7RE6KDU0ymTwTnAMBA7cIfmeuuZMG6grtn76h//6wl0hd/GeM8973S7Z6wZwADj/A+fjt7/6N5ywnPyst7/DzXn5a2mwupnyIbhuqDRSs0e1vEC6gkevRKxXI45pBjXasqVvpiVOOYa1gB0fY96nlZR9jP2ZApOJEUro6chlKh9EO5ewI5XxcWawBwbgzUkDxJMCnErYy2XOQNQSJDLEnrSAgzDzcAQgIvCwgr6Qo1howDHHL+qZ0Vp/2dZ++rOzT1uI95x57kFEWPV4XQEOAO96z4XyUkS7bgVxnUpf8ZpK311TqNgTd1MKQsShSKo4t0OSdS6ZvjfBTWzVpJb2bQLfqqZP811DQjQXfAWqJ9DBHGZeTkxPkFhw87FuOiVIdeps4nCqBbtFkkciJUURA5Uq+GuQy9I3aXgIAaJIOpWcE4s2OWpZdwgOVEpoa23GRRecuOeic074cqkS3jqrrfn1hhqA14mD1xqETQW48xOv4awrM83n7gFrAiUVFOtCzGgOZWIKURX0VMi1OqkEuY6GSpDXTsQCaoExscRVDhRMbp3ap15qV1wajlnqmQMxEoJWnb9jB2UMDi3MYE71cdZ+fS71f+I8cs251S2KCKKIqnu1HdK4oFgIAsfh2N5LMDgkgFIFU1uK+PzHTt3zmQtOvtJ12E8OFbiBQ2DBzUGcAng0cBOre3c4Mpy97t5H7mk8orMbX/rIIL5xcx57xmSils8Al0krkSgo0mLEGYOwrWwtxE2USZi81rbeaZAn5xUY14bvL0eZJAXSgNeWnSupkMIO9GjaYfYTt66Nqa1rbq4dZyUt6iQuM5JLCAMNBULGwCjFrn6C79xaRKmcwRWfbMC8JWf2nXXKsZdzzm9peg3lZgdiHFKAAwBlRQyPVG4bo3/T+/zWPV0nH3X4t1cu/LXb1hKifzNFnglkmAzpO8xYjptWW+xUVH/CYUpkGsRUS3g0oSZJHgqxXjuRs7nPJKpx3o/+DLVemqYrJm0BoNbkEeCUyIVcqZn3nZxDN+40/1FyPhJHPQHtXMpVk2X/Qm79GlAqV2HbvJPi4Wcaccbb/ya49EP9V8yYd9QGIPsrQvwDjJZXPw45wAGgLu/x0b51933lk5/w6rxVo73D5IaG4lqSdwWt9wSyjoDrJNbb1LBjC2TIYjXyleJRpSenLXqsXydcvtZrzSFi98/aWdUWotaoUmmM/bVG4iDaENeCKhVCqR3mUt8qbZYYryHV/8uWGROzQbVzSQkiTmSrbEVzhkd9BLyZf+Cck0V725GfLbQs++mjT22vnHB0y0HFzGTHGwLgAJBrnA8RPF6B03xby7TOPx25MPuBOqfnn3Zs34acz+IOb7YsKJHBhWz0HumEttgCyeMSrimHRUGIHbyhceDGdESJzU6MoQFHau2fgMVYb2bcIaofWfykGuRyRTXEDTSJAXSROp8ZGZanlqoI5xLIOlNRAzwiApRSBKFAJaCoBBxetgtTpzb/966g465iQ/OWh557ufLety97HRAzufGGATgAEHclAIx994c/X7do/pHXtBY3eLtn5L+6adNmViqXIYSqhKMklgsB+UUGoQK5EYbWeRomCtPps5LDE9W4lqQ09Gp5cELLWpObTAblxjWY6FAjZTbZpSaf0EoSgSyFJ2pdHtn6GWbVDQGs3u3qOlIuEHLpSAahBDmBAGVavSJAJBBGBMzJoKU4L6J+y/+c19V8TT4/EM1a2Pn6AmYS46CH6vdn/O6BO3H66aeLyy658E/33H27n/HJMf0D/c7IaAUQHK5D4DmA5xK4DgEjsmAiiIAwskEeUw0qJwY1t6m9n9EknE6JHVJPa+hm5NOUGhNHjBgTpDpkX9VmzvApKDWtK6qdT2LTMOk8KpXElDahP4vx60elNWbKKjMmlOwqqUjEKcohw1iZoRxIOoL4s3EQygDWhLbZx5aXLj/rO+2zj/3ahz54juhaev6hhk3NcbCl3Nc0+vsH4TgCnOObf/nrK8fddNt9tFQaO25ooM+pz7vIeBQOkz+wvYMc23oEwkhaMqYlRQblnAKMETiq56fDCBgDHAV0pu7TDYAS7y8dirGrfCyaQ+UEoTT9OD3JEL/XeBLG3N9O9zW/qKp3QmBNRq0wMSrgMAliV907TMBhHI7D422ZU8JBCRCEDNt2Z7F3wIMQgOMI+C5Hxq2gqbkYZnx/deeiM3mxuXN1EODKfI4gkz20SslE4w0NcHP8+JZfwnGc+pGRkR9t29p9/kDfbgpRQV3OQ32OgLkjuO/JCNt3u6hzAd9V8qIjlMQoQe0ygDHAVQBnlIAxohrnJ4A0gZWEtTVXTVRw20HV4CVGQpfcZpTYvxwGoNP3xIzMmtzI0rhtoKetNKNCTmAm4FAunXQm4LoK4IzDdTg8J4LrcnhuiKxfwZY9HL/5j2ZQkkNdlsD3OBqLPmbOaOGzZk2/M5fPXxwGwdC8pe871JCY1HhDcfCJxkUfex/WvbxxKJvJXLp1W9f6559/dmmlPHx2z+5uzGgFjl4ygB0jJdyyeRoIqLReFGC1qoJiKiCBx2ILbnJwEgOZa2AbBQQJ1GFpfHoyEB0XH0c3t1IGkNbm7ULp+AzE0LmFHUmUa/JImsGUcyhbNSBuD2HGQ2Waq7w5LELWq6CQH8ZTjwrc+1gjlneMobWRYumSuZg6pXjPgiXLXmiZMu37lXJ5qGVqx6GGw6THmwbgADB/3hwA2Ltj+7avLV107uyX1r2MPTtaz/b502gu9KKYiRCFU1COGCIuF0KVnZpE4mwCCV2IrZ2ysCyxwFpSE2pJxygyQJ6gWIWCEyU57uxqdG8dz3GMAWxw/JqZj4Z0zYXUpyOeVOIAyYTV+d3x+bmiYCLRUJLzijjt1XEieG4Zg6PA9r0VLJzZhBVHHYZlSxbcM7tj7hdGx0a7Cw2TX1nhjTLeVADXo619Ovbs6e3u7FxweVPRu813pn/+la3NJ/WP/RkIAiDrxiDRWNRW3AzqxPSEkdiCM5Y4mAABpwJRBJVgpNY4NePhmprEEgfsSAwBxlVSTEVHbehWGGaOjXYYY6stBDgnCCPjcxGAqUWFGZKZRbgA41oPJwC41YXADNxwHmDezDyuunQxFnQd83B7S/33Fy/ufD4Iwu7m5umH+mvfr/GmBDgATJnSBADrR8tiPaV44en1fW0nvW3FvwxEW+aueuwF5pJyrCzo4mUeW3AJIIeR+CZBTg1HUGnsXEppYSiz6MKIxyFvonRGHTmkMKvRYVhTUuUY6mFaaVNFkRQi4dYEwqjHpggjoBImFpxS1cZb5khBMDnDKCGIqJqgSBxY3ZE4jAhKFYpc1oVbeGd05umL1/cNlP/rvAUn7ACwjoz38/MmGW/ud2+Mv7y8F0EYzV7bvXV6S965+4Ff/6mw5uWt+b6BEQgQ+A6Q84BchiCXIch4FL5H4To0tuAa5IwlEVMAKJUF+ocCDI2ECCOdxkviY5jhXFJq/CLoffr8muebFUlUTzYl21FbymNM75P/txJSDI4Q9A0CpTKP30sySdV5lWPtOgK+J5DLCOQzEXKZELlMAN+NEEaA49bBz88a6Vx44qDvjpyXKXZsI4R1E/LmtNjp8aa14OmxbF4LuBDdRy5s3TI4NLzEJfzYszj/8WPPvByuenJdU3/v3vpI8Dhn2nUJfJfBcUgCTEpiWdF1ZO2z7wiUMxw7ezl6BrnMaFTPy6E7PhFjsSfEXaP2OdLcW1tYA9xa/XBZBMaAICB4ZRAoVwQ8h8J15TIijiDgTOeNyMguF3JChSGH4FIazGaAYkPTkJdf0lvXuNghlFyUqZv/WCabHwDA3+xW2xxvGYADcf0hX//Ktr6OWe2/HRgcnH/djXeWf33Hd/7h/gcf/8jGDRsCykcXZj2e8ZwKshkJbCE0wGUpqMuAjC+Q8wWaiiEcZwSPvhxg/a4M2hso8j4gF7mVVppzSSPiCnSuinsn+b5NikJjDVvxagXujCetb1vzEAbLZWzY2QCPuGis58gKFa8zVkGLIjnJShCIQoJifRaZHCnVF92Xps2Y6U5pP+62VQ9c9t1jTvuen83Vl3g0wAmpO9Rf4QEfbymA6zG3czogUzNGn1/TDc91vu047NsnrFzMmhrqbgAvzx/q2/62qLyL9Q+W0D8kABGCUhpTFNcBchmOYl0FU5sG0DkjwGNrfAyOEXgOh8vtFsZciHj9bCJIkmivFZFx2GAsohCjiCMOpctjKBFwHY76fAWeN4K1OzjW7yaYXgdkPB28UY3mA7nydC7rYbQMgPiYNa09mr941qrGgr8uCocuoWQ4ok4WJ555vcgVOkcP9fd1MMdbEuDmOGzRbCARgMP+/sGLmeM1lkZ7rt609kHvr2s3R262sDyXwYr+vl6MjY1IdYFTMBoinw0gEGDzToLBEYopGQloavBnbTE5EXAgZUkjFJSk3qqRbtajE7t05JGolYQjjrhah6gOUsW6EJ3tIQQVGCoBjYGsrqkEETgnqK+vQ0tLM/JZ9vTWncN/LjS2s3efflqlbVrLV8bGSn3FYsOh/kpe1/GWB3h6NDQUAKAPwKcB4MnHV4EQclIYBqcND4+cVyqNLahUxrB1ywYwZww5vw+UDmJ0MAdUktwV16HwPam2VAKOMEqSmRhL56AkeShWxQ1PWAWlMizuufKAckBRCQjCSKYbRKrSnRGBLBvByMgomFtALptBa0sW8+fPRS6bRT6fW5vN5u72fe93S5aKh0866SR86YuH+qofuvGfDuDpcfTKtwHAw/39fQ8DeCSKoq6+vj6+bfsu3jqtbc6MznlfHht5Dkcc3oiXdgQol3rAcwAjDor5DDyXYvPuANt6I9T7QF2WwHNV8pZSNrTSAmgdXf1zApAI4GrJIt/lyOdC1GUDbNnpYVePC9cBojCE74YIggoC0YKmlvk4cmk9ls1biDrSc03OGdp40tuOp8WGRuq67gYAv21oaDjUl/YNMf7TA1yPhoZGAPitfhyVt4LQbAOCTavJ3hI6uwrBpz7c+sU6j7+zTjmgPTufx+6eQQiPYm+ZoFRykOEVVIIQ9TnZmi4II1AK+BkKLgSGxzg4F8hlGXhEMBoKZHwg6wlkMwTTmglGggA9Iy44IlREEw5fsQKNBaCQD5DJhw82jvZed9hi3z1x5WE4fEH7w8Oj5f65s6cc6kv4hhz/H+DjDObPAIB+APcCwNqNOwDgJcKjqQ4DpwjxXLABeweG0NLIUF90sLWPB+87beVViEbPbKhHkPUJ+ofkoqjNRQLOBbbvjcA50FR0QAnQNxgh4xFMn+q606Zk78fYw1f1jFF3pELheQKcZjG7czHqsgyeKyhzya7DGrHxmGNn4JpDfZHeBOOtI3i+AcZvfrcKIGRqf9/uYiHHRdYn6BngIARoaZDa9NbdEXgk0NIo0wl6+kP4DsH0aT6ZMX3KgBBiV8e84w/1R3nLjP8HNs3kyN67+40AAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTc6MTA6MzkrMDA6MDB5BV9HAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE3OjEwOjM5KzAwOjAwCFjn+wAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 30456103
{'hecke_orbit_code': 9007474166202852, 'n': 1, 'trace_an': 4}
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id: 30456104
{'hecke_orbit_code': 9007474166202852, 'n': 2, 'trace_an': 0}
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id: 30456105
{'hecke_orbit_code': 9007474166202852, 'n': 3, 'trace_an': -1}
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id: 30456106
{'hecke_orbit_code': 9007474166202852, 'n': 4, 'trace_an': 0}
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id: 30456107
{'hecke_orbit_code': 9007474166202852, 'n': 5, 'trace_an': 3}
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id: 30456108
{'hecke_orbit_code': 9007474166202852, 'n': 6, 'trace_an': 0}
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id: 30456109
{'hecke_orbit_code': 9007474166202852, 'n': 7, 'trace_an': 7}
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id: 30456110
{'hecke_orbit_code': 9007474166202852, 'n': 8, 'trace_an': 0}
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id: 30456111
{'hecke_orbit_code': 9007474166202852, 'n': 9, 'trace_an': -8}
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id: 30456112
{'hecke_orbit_code': 9007474166202852, 'n': 10, 'trace_an': 0}
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id: 30456113
{'hecke_orbit_code': 9007474166202852, 'n': 11, 'trace_an': 0}
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id: 30456114
{'hecke_orbit_code': 9007474166202852, 'n': 12, 'trace_an': 0}
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id: 30456115
{'hecke_orbit_code': 9007474166202852, 'n': 13, 'trace_an': 1}
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id: 30456116
{'hecke_orbit_code': 9007474166202852, 'n': 14, 'trace_an': 0}
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id: 30456117
{'hecke_orbit_code': 9007474166202852, 'n': 15, 'trace_an': 3}
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id: 30456118
{'hecke_orbit_code': 9007474166202852, 'n': 16, 'trace_an': 0}
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id: 30456119
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