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mf_newforms • Show schema
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{'Nk2': 2112, 'analytic_conductor': 4.216101226723604, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 25, 'char_orbit_label': 'y', 'char_order': 5, 'char_parity': 1, 'char_values': [528, 5, [463, 133, 353, 145], [5, 5, 5, 2]], 'cm_discs': [], 'conrey_index': 49, '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': [[5, [1, -4, 6, 1, 1]], [7, [81, -27, 9, -3, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22519647437849104, 'hecke_ring_generator_nbound': 3, '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': '528.2.y.f', 'level': 528, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 11], 'level_radical': 66, 'minimal_twist': '33.2.e.a', 'nf_label': '4.0.125.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\zeta_{10}^{2}q^{3}+(-1+2\\zeta_{10}-\\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': '528.2.y', 'trace_display': [0, 1, -1, 3], 'trace_hash': 165124249381234166, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.062', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.865', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.901', 'prec': 17}, {'__RealLiteral__': 0, 'data': '46.781', 'prec': 20}, {'__RealLiteral__': 0, 'data': '20.659', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1030.798', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, 'traces': [4, 0, 1, 0, -1, 0, 3, 0, -1, 0, -9, 0, -9, 0, -4, 0, 2, 0, 10, 0, 12, 0, 4, 0, -6, 0, 1, 0, -10, 0, -8, 0, -1, 0, 3, 0, -3, 0, 9, 0, 23, 0, -16, 0, -6, 0, 3, 0, -2, 0, 3, 0, 6, 0, -14, 0, 5, 0, 20, 0, 3, 0, 3, 0, -14, 0, -2, 0, -9, 0, 27, 0, 6, 0, -9, 0, -3, 0, -5, 0, -1, 0, -21, 0, 7, 0, 0, 0, 20, 0, -3, 0, 8, 0, -25, 0, -33, 0, -4, 0, 3, 0, -6, 0, -3, 0, -7, 0, 0, 0, 8, 0, -9, 0, 9, 0, 1, 0, -6, 0, -1, 0, 17, 0, -11, 0, 18, 0, -9, 0, 42, 0, 30, 0, -4, 0, 7, 0, -5, 0, 2, 0, 4, 0, -10, 0, 2, 0, -15, 0, 2, 0, 2, 0, 12, 0, 12, 0, -6, 0, -27, 0, -36, 0, -1, 0, -37, 0, 32, 0, -5, 0, -14, 0, 18, 0, 10, 0, -5, 0, 3, 0, 12, 0, -3, 0, 3, 0, -3, 0, -13, 0, -14, 0, -6, 0, 102, 0, 40, 0, 22, 0, -30, 0, -52, 0, -11, 0, -40, 0, 32, 0, 18, 0, 9, 0, -21, 0, 4, 0, -2, 0, 9, 0, 9, 0, -47, 0, -10, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [-1, 2, -1, 0], [0, 0, 0, 0], [0, 0, 0, 3], [0, 0, 0, 0], [-1, 1, -1, 1], [0, 0, 0, 0], [-4, 3, -2, 2], [0, 0, 0, 0], [-5, 3, -3, 5], [0, 0, 0, 0], [-1, 1, 0, -1], [0, 0, 0, 0], [1, -1, 1, 0], [0, 0, 0, 0], [0, 3, -4, 3], [0, 0, 0, 0], [3, 0, 0, 0], [0, 0, 0, 0], [3, 0, 4, -4], [0, 0, 0, 0], [0, -3, 0, -3], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [-4, 4, 0, 2], [0, 0, 0, 0], [-2, -1, 1, 2], [0, 0, 0, 0], [0, 2, 2, -1], [0, 0, 0, 0], [-3, 6, -6, 3], [0, 0, 0, 0], [-2, 2, 0, 3], [0, 0, 0, 0], [2, 3, 2, 0], [0, 0, 0, 0], [0, 8, -7, 8], [0, 0, 0, 0], [-3, 0, 2, -2], [0, 0, 0, 0], [-1, 0, 1, -1], [0, 0, 0, 0], [0, 1, -1, 1], [0, 0, 0, 0], [0, -2, 0, 0], [0, 0, 0, 0], [1, -1, 0, 0], [0, 0, 0, 0], [8, -9, 9, -8], [0, 0, 0, 0], [0, -5, 6, -3], [0, 0, 0, 0], [-1, 4, -4, 1], [0, 0, 0, 0], [7, -7, 0, -1], [0, 0, 0, 0], [3, -6, 3, 0], [0, 0, 0, 0], [0, 0, -3, 0], [0, 0, 0, 0], [-3, 0, 1, -1], [0, 0, 0, 0], [-5, 0, -9, 9], [0, 0, 0, 0], [0, -4, 1, -4], [0, 0, 0, 0], [9, 0, 9, 0], [0, 0, 0, 0], [2, -2, 0, 0], [0, 0, 0, 0], [-3, 0, 0, 3], [0, 0, 0, 0], [-3, 3, -9, -3], [0, 0, 0, 0], [3, -7, 7, -3], [0, 0, 0, 0], [0, 0, 0, -1], [0, 0, 0, 0], [-6, -3, -6, 0], [0, 0, 0, 0], [0, 2, -3, 2], [0, 0, 0, 0], [2, 0, 4, -4], [0, 0, 0, 0], [7, 0, 4, -4], [0, 0, 0, 0], [0, -6, -9, -6], [0, 0, 0, 0], [3, -1, 3, 0], [0, 0, 0, 0], [-7, 7, 0, -4], [0, 0, 0, 0], [-7, -6, 6, 7], [0, 0, 0, 0], [1, -2, 2, -4], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 0, -1, 0], [-1, 2, -1, 0], [0, 0, 0, 3], [-4, 3, -2, 2], [-5, 3, -3, 5], [1, -1, 1, 0], [0, 3, -4, 3], [3, 0, 4, -4], [-4, 4, 0, 2], [-2, -1, 1, 2], [-2, 2, 0, 3], [0, 8, -7, 8], [-3, 0, 2, -2], [0, 1, -1, 1], [8, -9, 9, -8], [7, -7, 0, -1], [3, -6, 3, 0], [-5, 0, -9, 9], [9, 0, 9, 0], [2, -2, 0, 0], [3, -7, 7, -3], [-6, -3, -6, 0], [7, 0, 4, -4], [-7, -6, 6, 7], [3, -3, 3, -3], [0, 0, 0, -6], [0, -2, 3, -2], [0, 0, 0, 0], [0, -6, -3, -6], [6, 0, 6, 0], [12, 0, 3, -3], [4, -5, 4, 0], [-3, 3, 0, 4], [0, -15, 0, 0], [0, 0, -2, 0], [0, 6, 0, 6], [-6, -9, 9, 6], [-11, -2, 2, 11], [0, 1, 16, 1], [0, -2, 1, -2], [-4, 15, -4, 0], [-4, 4, 0, -1], [-9, 13, -9, 0], [26, 0, 1, -1], [7, 0, -6, 6], [2, 13, -13, -2], [0, 6, 3, 6], [-16, 16, 0, 1], [-10, 10, -10, 10], [-13, 20, -20, 13], [0, 9, 3, 9], [6, 0, 18, -18], [10, 1, -1, -10], [-7, 7, 0, 23], [5, 0, -7, 7], [-4, -18, -4, 0], [-15, 15, 0, -3], [-16, 25, -25, 16], [2, 2, 2, 0], [0, 10, 6, 10], [8, -8, 0, -13], [14, 0, 9, -9], [0, -4, -5, -4], [24, -11, 24, 0], [-13, -7, 7, 13], [9, 0, 22, -22], [-6, 6, 0, 10], [8, -16, 8, 0], [0, 18, 1, 18], [-4, 0, 4, -4], [2, -2, 0, -16], [9, -9, 0, -9], [15, 0, 12, -12], [12, 9, 12, 0], [1, -17, 17, -1], [-15, 15, 0, 0], [-29, 0, 6, -6], [-5, 23, -5, 0], [24, -16, 16, -24], [11, 0, 17, -17], [0, 15, -28, 15], [-12, 29, -29, 12], [0, 0, 0, 6], [-13, 0, -6, 6], [0, -18, 30, -18], [18, -22, 22, -18], [-11, -15, -11, 0], [-13, 0, 5, -5], [-2, 0, -11, 11], [-2, -11, -2, 0], [5, -25, 5, 0], [0, -10, -23, -10], [23, -23, 0, -12], [-9, 9, 0, -3], [0, 26, -12, 26], [0, -1, 23, -1], [24, -24, 0, -24], [21, 1, 21, 0], [-5, 14, -14, 5], [0, 1, -21, 1], [5, -5, 0, -23], [17, -1, 1, -17], [0, 26, -8, 26], [9, 0, 27, -27], [-2, -12, -2, 0], [-28, 28, 0, 7], [-15, 0, -23, 23], [-6, -12, -6, 0], [-24, 24, 0, 5], [2, -9, 9, -2], [0, -14, 26, -14], [39, 0, 12, -12], [0, 10, 15, 10], [15, -15, 0, 22], [0, -19, 24, -19], [9, -33, 9, 0], [10, -21, 21, -10], [-13, 13, 0, -30], [-12, 0, -14, 14], [-18, 0, -5, 5], [7, 5, -5, -7], [-4, -16, -4, 0], [29, 0, 16, -16], [-36, 30, -30, 36], [0, 27, 6, 27], [19, -37, 19, 0], [12, -12, 0, -21], [-34, 0, 3, -3], [6, -6, 0, 28], [-25, 25, -25, 25], [-10, 29, -10, 0], [0, 29, 6, 29], [11, -3, 3, -11], [5, -21, 21, -5], [-31, 0, -27, 27], [0, 36, -9, 36], [-6, -14, -6, 0], [-2, -12, -2, 0], [-7, -14, -7, 0], [0, -19, -15, -19], [-12, 12, 0, -21], [-29, 33, -33, 29], [24, -42, 42, -24], [-27, 27, 0, 26], [0, -6, 33, -6], [-8, 5, -8, 0], [-17, 0, -40, 40], [-33, 0, -16, 16], [-16, 2, -16, 0], [0, -12, -1, -12], [22, 0, 5, -5], [0, -12, -18, -12], [0, 0, 0, 3], [21, -30, 21, 0], [31, -23, 23, -31], [-42, 21, -42, 0], [-16, 23, -16, 0], [-19, -3, 3, 19], [-35, 23, -35, 0], [-7, 0, 7, -7], [10, -10, 0, -54], [-9, 0, -27, 27], [0, 32, -18, 32], [37, -17, 17, -37], [-28, 28, 0, 18], [3, 0, 15, -15], [21, -21, 0, -21]], 'char_orbit_index': 25, 'field_poly': [1, -1, 1, -1, 1], 'hecke_orbit_code': 22519647437849104, 'hecke_ring_character_values': [[463, [1, 0, 0, 0]], [133, [1, 0, 0, 0]], [353, [1, 0, 0, 0]], [145, [0, 0, 0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '528.2.y.f', 'level': 528, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2112, 'analytic_conductor': 4.216101226723604, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 25, 'char_orbit_label': 'y', 'char_order': 5, 'char_parity': 1, 'char_values': [528, 5, [463, 133, 353, 145], [5, 5, 5, 2]], 'conrey_index': 49, 'cusp_dim': 336, 'dim': 48, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 1649300996624, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], 'label': '528.2.y', 'level': 528, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 11], 'level_radical': 66, 'mf_dim': 432, 'mf_new_dim': 48, 'num_forms': 11, 'prim_orbit_index': 3, 'relative_dim': 12, 'sturm_bound': 192, 'trace_bound': 5, 'trace_display': [0, 0, 0, 4], 'traces': [48, 0, 0, 0, 0, 0, 4, 0, -12, 0, 4, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -16, 0, -4, 0, 0, 0, -16, 0, 0, 0, 4, 0, 36, 0, 24, 0, 8, 0, -24, 0, 72, 0, 0, 0, 36, 0, -28, 0, -12, 0, 40, 0, 44, 0, 0, 0, -8, 0, 16, 0, 4, 0, 16, 0, -16, 0, 0, 0, 4, 0, -12, 0, -24, 0, -40, 0, -16, 0, -12, 0, -84, 0, -24, 0, -72, 0, -16, 0, -20, 0, -24, 0, -60, 0, 0, 0, -16, 0, -24, 0, 0, 0, -20, 0, -36, 0, 0, 0, 0, 0, -24, 0, 76, 0, 0, 0, -8, 0, 16, 0, 12, 0, 0, 0, 64, 0, 16, 0, 40, 0, 0, 0, 0, 0, -24, 0, 16, 0, 8, 0, -8, 0, 36, 0, 0, 0, -16, 0, 76, 0, 0, 0, -80, 0, -24, 0, -24, 0, 48, 0, -76, 0, -8, 0, -84, 0, 36, 0, -12, 0, 16, 0, -208, 0, -8, 0, -44, 0, -24, 0, 32, 0, 56, 0, -120, 0, 0, 0, -28, 0, 68, 0, 12, 0, -16, 0, -80, 0, -24, 0, 72, 0, 64, 0, 44, 0, -72, 0, 92, 0, 8, 0, 140, 0, -36, 0, 128, 0, 144, 0, 64, 0, -24, 0, 148, 0, -16, 0, 108, 0, -96, 0, -12, 0, 64, 0, 140, 0, -72, 0, 0, 0, 16, 0, -60, 0, -12, 0, 48, 0, -16, 0, -24, 0, -8, 0, -160, 0, -16, 0, -88, 0, -16, 0, 0, 0, 16, 0, -12, 0, 16, 0, 56, 0, -96, 0, 0, 0, 32, 0, 0, 0, 0, 0, 112, 0, 4, 0, 48, 0, -40, 0, 152, 0, 4, 0, 84, 0, -88, 0, 20, 0, 104, 0, 248, 0, 32, 0, 52, 0, 104, 0, -24, 0, -104, 0, 164, 0, 12, 0, 52, 0, -104, 0, -24, 0, 16, 0, 56, 0, 24, 0, 56, 0, 40, 0, -108, 0, 160, 0, -52, 0, 56, 0, -112, 0, 120, 0, -32, 0, 16, 0, -8, 0, 80, 0, -192, 0, 20, 0, -112, 0, 200, 0, -80, 0, 16, 0, -148, 0, 64, 0, -120, 0, 88, 0, -40, 0, 48, 0, -116, 0, -36, 0, -8, 0, 24, 0, 92, 0, -40, 0, 40, 0, -112, 0, 0, 0, 0, 0, -104, 0, 0, 0, -116, 0, -96, 0, 24, 0, -24, 0, -124, 0, -16, 0, -152, 0, 16, 0, -24, 0, -96, 0, -180, 0, -8, 0, -64, 0, -120, 0, -24, 0, -152, 0, -288, 0, 72, 0, -104, 0, -128, 0, 104, 0, -104, 0, -68, 0, -24, 0, 40, 0, -184, 0, -12, 0, -48, 0, 0, 0, 68, 0, -204, 0, -168, 0, 120, 0, 72, 0, -36, 0, -40, 0, 128, 0, 80, 0, 152, 0, -224, 0, 28, 0, 40, 0, 300, 0, 48, 0, 44, 0, 192, 0, 36, 0, -48, 0, 96, 0, 184, 0, 224, 0, -112, 0, -164, 0, 0, 0, 192, 0, -40, 0, 60, 0, 64, 0, -92, 0, 24, 0, 104, 0, -64, 0, -8, 0, 16, 0, 96, 0, -16, 0, 136, 0, 184, 0, -48, 0, -16, 0, -72, 0, 16, 0, 384, 0, 4, 0, 96, 0, 152, 0, 144, 0, 8, 0, 76, 0, 128, 0, 4, 0, -152, 0, 240, 0, -80, 0, 16, 0, -44, 0, -168, 0, 0, 0, 36, 0, -24, 0, -100, 0, 168, 0, -40, 0, -160, 0, 232, 0, -104, 0, 0, 0, -136, 0, -36, 0, 24, 0, -100, 0, -108, 0, 0, 0, -152, 0, -240, 0, -192, 0, -76, 0, 0, 0, -348, 0, -40, 0, -192, 0, -256, 0, 84, 0, -112, 0, -112, 0, -224, 0, -56, 0, -160, 0, 156, 0, -48, 0, -280, 0, 112, 0, -40, 0, -88, 0, 100, 0, -12, 0, -272, 0, 144, 0, 12, 0, 64, 0, -80, 0, 32, 0, -184, 0, 184, 0, 16, 0, 56, 0, 32, 0, 40, 0, -144, 0, 128, 0, -144, 0, 88, 0, -64, 0, 0, 0, -132, 0, 168, 0, -24, 0, 264, 0, -112, 0, -144, 0, -28, 0, 312, 0, 64, 0, 96, 0, -284, 0, 0, 0, 116, 0, 184, 0, 120, 0, 384, 0, -8, 0, -12, 0, -176, 0, 88, 0, 268, 0, -16, 0, -8, 0, 160, 0, 60, 0, -132, 0, 16, 0, 80, 0, -132, 0, -72, 0, 304, 0, 56, 0, 128, 0, -160, 0, 288, 0, 16, 0, 64, 0, 40, 0, 104, 0, 296, 0, 12, 0, -64, 0, 308, 0, -128, 0, 48, 0, -48, 0, 128, 0, 72, 0, 400, 0, 16, 0, 24, 0, -120, 0, 220, 0, 24, 0, 240, 0, -72, 0, -24, 0, 40, 0, 128, 0, -48, 0, 160, 0, 72, 0, 40, 0, -64, 0, 264, 0, 16, 0, 88, 0, -216, 0, -16, 0, 288, 0, 200, 0, 16, 0, -36, 0, 112, 0, -264, 0, -160, 0, 184, 0, 112, 0, -36, 0, -96, 0, -60, 0, 32, 0, -24, 0, 40, 0, 160, 0, 252, 0, -216, 0, -128, 0, 204, 0, 20, 0, 4, 0, 112, 0, -208, 0, 288, 0, 16, 0, -16, 0, -324, 0, -80, 0, 4, 0, -40, 0, -12, 0, 120, 0, -144, 0, 0, 0, -240, 0, 144, 0, 148, 0, 16, 0, -332, 0, -32, 0, -92, 0, 16, 0, -104, 0, 8, 0, -616, 0, -80, 0, 0, 0, -48, 0, -120, 0, -48, 0, -444, 0, -236, 0, 8, 0, 0, 0, 20, 0, 0, 0, -376, 0, -160, 0, -84, 0, -16, 0, -116, 0, -16, 0, -36, 0, -232, 0, 44, 0, -296, 0, 40, 0, 128, 0, 152, 0, -16, 0, 296, 0, -112, 0, -72, 0, -40, 0, -96, 0, -140, 0, 84, 0, -224, 0, -296, 0, 72, 0, -188, 0, -8, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 369790
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '33.2.e.a', 'target_level': 33, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 369791
{'conductor': 44, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '33.2.e.a', 'target_level': 33, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '44.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 369792
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '99.2.f.b', 'target_level': 99, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 369793
{'conductor': 132, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '99.2.f.b', 'target_level': 99, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '132.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 369794
{'conductor': 44, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '363.2.a.e', 'target_level': 363, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '44.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 369795
{'conductor': 44, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '363.2.a.h', 'target_level': 363, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '44.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 369796
{'conductor': 44, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '363.2.e.c', 'target_level': 363, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '44.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 369797
{'conductor': 44, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '363.2.e.h', 'target_level': 363, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '44.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 369798
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '363.2.e.j', 'target_level': 363, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 369799
{'conductor': 44, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '363.2.e.j', 'target_level': 363, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '44.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 369800
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '528.2.y.f', 'target_level': 528, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 369801
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '528.2.y.f', 'target_level': 528, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 369802
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '825.2.n.f', 'target_level': 825, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 369803
{'conductor': 220, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '825.2.n.f', 'target_level': 825, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '220.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 369804
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 50, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '825.2.bx.b', 'target_level': 825, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 369805
{'conductor': 220, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 50, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '825.2.bx.b', 'target_level': 825, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '220.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 369806
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '891.2.n.a', 'target_level': 891, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 369807
{'conductor': 396, 'degree': 8, 'multiplicity': 2, 'order': 30, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '891.2.n.a', 'target_level': 891, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '396.ba', 'twisting_char_orbit': 27, 'weight': 2}
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id: 369808
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '891.2.n.d', 'target_level': 891, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 369809
{'conductor': 396, 'degree': 8, 'multiplicity': 2, 'order': 30, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '891.2.n.d', 'target_level': 891, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '396.be', 'twisting_char_orbit': 31, 'weight': 2}
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id: 369810
{'conductor': 132, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1089.2.a.m', 'target_level': 1089, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '132.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 369811
{'conductor': 132, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1089.2.a.s', 'target_level': 1089, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '132.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 369812
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '5808.2.a.bl', 'target_level': 5808, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 369813
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 39, 'target_is_minimal': False, 'target_label': '5808.2.a.bm', 'target_level': 5808, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 369814
{'conductor': 220, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '9075.2.a.x', 'target_level': 9075, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '220.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 369815
{'conductor': 220, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '528.2.y.f', 'source_level': 528, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '9075.2.a.bv', 'target_level': 9075, 'twist_class_label': '33.2.e.a', 'twist_class_level': 33, 'twisting_char_label': '220.o', 'twisting_char_orbit': 15, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1008650
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22519647437849104, 'p': 2}
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id: 1008651
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 22519647437849104, 'p': 3}
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id: 1008652
{'charpoly_factorization': [[[1, -4, 6, 1, 1], 1]], 'hecke_orbit_code': 22519647437849104, 'p': 5}
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id: 1008653
{'charpoly_factorization': [[[81, -27, 9, -3, 1], 1]], 'hecke_orbit_code': 22519647437849104, 'p': 7}
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id: 1008654
{'charpoly_factorization': [[[121, 99, 41, 9, 1], 1]], 'hecke_orbit_code': 22519647437849104, 'p': 11}
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id: 1008655
{'charpoly_factorization': [[[121, -11, 31, 9, 1], 1]], 'hecke_orbit_code': 22519647437849104, 'p': 13}
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id: 1008656
{'charpoly_factorization': [[[1, -3, 4, -2, 1], 1]], 'hecke_orbit_code': 22519647437849104, 'p': 17}
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id: 1008657
{'charpoly_factorization': [[[25, -25, 40, -10, 1], 1]], 'hecke_orbit_code': 22519647437849104, 'p': 19}
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id: 1008658
{'charpoly_factorization': [[[-19, -2, 1], 2]], 'hecke_orbit_code': 22519647437849104, 'p': 23}
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id: 1008659
{'charpoly_factorization': [[[400, 200, 60, 10, 1], 1]], 'hecke_orbit_code': 22519647437849104, 'p': 29}
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id: 1008660
{'charpoly_factorization': [[[121, 77, 34, 8, 1], 1]], 'hecke_orbit_code': 22519647437849104, 'p': 31}
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id: 1008661
{'charpoly_factorization': [[[1, 7, 19, 3, 1], 1]], 'hecke_orbit_code': 22519647437849104, 'p': 37}
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id: 1008662
{'charpoly_factorization': [[[5041, -1207, 249, -23, 1], 1]], 'hecke_orbit_code': 22519647437849104, 'p': 41}
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id: 1008663
{'charpoly_factorization': [[[11, 8, 1], 2]], 'hecke_orbit_code': 22519647437849104, 'p': 43}
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id: 1008664
{'charpoly_factorization': [[[1, -2, 4, -3, 1], 1]], 'hecke_orbit_code': 22519647437849104, 'p': 47}
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id: 1008665
{'charpoly_factorization': [[[5041, -781, 76, -6, 1], 1]], 'hecke_orbit_code': 22519647437849104, 'p': 53}
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id: 1008666
{'charpoly_factorization': [[[3025, -825, 190, -20, 1], 1]], 'hecke_orbit_code': 22519647437849104, 'p': 59}
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id: 1008667
{'charpoly_factorization': [[[81, 108, 54, -3, 1], 1]], 'hecke_orbit_code': 22519647437849104, 'p': 61}
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id: 1008668
{'charpoly_factorization': [[[-101, 1, 1], 2]], 'hecke_orbit_code': 22519647437849104, 'p': 67}
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id: 1008669
{'charpoly_factorization': [[[6561, -1458, 324, -27, 1], 1]], 'hecke_orbit_code': 22519647437849104, 'p': 71}
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id: 1008670
{'charpoly_factorization': [[[16, -16, 16, -6, 1], 1]], 'hecke_orbit_code': 22519647437849104, 'p': 73}
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id: 1008671
{'charpoly_factorization': [[[25, -75, 85, 5, 1], 1]], 'hecke_orbit_code': 22519647437849104, 'p': 79}
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id: 1008672
{'charpoly_factorization': [[[81, 81, 171, 21, 1], 1]], 'hecke_orbit_code': 22519647437849104, 'p': 83}
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id: 1008673
{'charpoly_factorization': [[[5, -10, 1], 2]], 'hecke_orbit_code': 22519647437849104, 'p': 89}
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id: 1008674
{'charpoly_factorization': [[[44521, 6752, 634, 33, 1], 1]], 'hecke_orbit_code': 22519647437849104, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 25, 'hecke_orbit': 6, 'label': '528.2.y.f', 'level': 528, 'portrait': 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AYsdiSDkU/gCYTRzE1p1k2mLHVCOgPBMPFZ7gs2TmoW25qTFxQ1P2DjDGydi9gwO2T97IiNsyO2bjBs36i4YptPXTU5dnKCB54JeOxgwlMnYlLV5dte0ebtLzPU1SwHT0xx7KzHmYsp5zNwH14w3HTVPD//7mW2rZvk7MUpLi7XWGz7LLclK92UTj+lN4LDxxc5fHrliicOzb/y6OkLO4+fufiFW7/lHdG9d3zkxYbEN3T7G83gS8ttksQgJb987+NHX/Yzv/Ex+Y5bD73sX739jDe/soHldovFdoPFdsBi22OxDUvtlKV2zOJKyvkVOLIomFu3wn/6vkVeuqfBqQsznL3Y5OyCx4VFw/mFhNPzKRe7CVMzQ15+TY9b9kIg64Qq5MJSjXMLHueXBP0RJImmFmiatZTpyQQNnDif0OnBjg0+zfoIYwSIgN5As33jiMUVD4yVIis9GCVgMCy1I7as9+kOFEIZhB4xUfPZvmnISl9w4qxHqj1mJyStmiD0IUkE/ZHk/JLk3KLhwnJCGA7BT7j1yh4vu0owN1FncXmCUxdCzi7AhYWEC0sJZ5bgyKLhxisX+MXvW2bj1AQnz89wfrHO/HLAQluytJKy3IlZ7qQsdTULXcmZLiwt9fj1fz1Mvud1jfuCuR/RQXPvfQL9swafsDbxYkPleW9/Yxn8PX/4l7zithv4N//m//ilD338K//6fX/+pUv3nVzZeehMT7786i67N6ckOtfVlr0xEpCAQAiDJwyBhLOLdR46LLlm9xJ7tw1p1MD3JIGvCAKPZl3S8CX9ns+B4zW++FjAiYsjOknMgVMjNswu8daXL3PNpV1u3Nvm+ELCQl/QCIccPWtod5pcfYlkZZiy77ii1fB49gRcttkwjFKGaYDnxUy3YP+pEOWl+DLB82Ewkrx0b59BX3LNpSmdQcqJsy12bVQ0GxErI8P6qT7LvQ5/8RV44ljKU8eG7Ni8yLWXd5ieiXjLrV2+81WG3RtbpPEUx85McuS0z6nzmtMXY05fTDlyUXByJeYle+b5T9/XZcPUFKfOz3BhscH8SsBiW7LcTml3Y1Z6KSs9w3JPcL6vWOok3HTFPD/+9y7Kmid2Xjx3cle/n9zcmNxVrzemv/T0Ix/nt3//z19syKx5+xvJ4H/+Fx/jpS/Zpj731QP/4fjJ8z/35LMn1IXliIWh4kzPcM2OC/z6j81z3e4GFxanWWw3WGrXWGr7LHU8lruw3E5Z7iQsdRMW2nBqWeDVh9x21RLf9aqIXeubrPQmuLhUZ34pYKEtWGpbibDc1XQGms7I0B8mzE7EbN+gAUHoG05f9BEyZMd6xa7Nhs3r+1xYHvHkoRY3XGZo1Jd55vAMrWZEFPnMTmsGQ7hi+5A//coUl29LGI0M6yYlcTqgVQt59viQut/kuj0JTx2NuLAYsGU2ZNcm2L4xQqmY0wsQ+AYhDDs2JEy3JN1BSK/v0+n7LHUUSyuw2NYstVMW2inn27A4TNm+pcd3vXqB2/Z61PwJzi1MsLBcY2HFY6kjWG5rVroxy10L7sUenO8qLqwkvPTy8/zajy1y6ZYmiysTLHfq9EctwubuNGhs/KX53t5fnAxPpq94zd9/saGz6vY3CuAHDx2kXqvVz5w5vf2xx59915HjZ/7z/kOnGSWS/hBWBoILfcXZbsKNl5znv/3YEtdeUufi8jSLKw2WOzWWOj7LHY/lDrS7mpVuwnI3YaljuNAWnO0ZED3e/oo2b3mp5pJNNaKowXK7xkovoN1VLPcE3b5gODJEiSFNQUlD6EM9NExNGNbPxHj+kCPnIp4+HKKTJm+6OcLzV3h03yQ7N8HnHkp4xdUhF9sDap4iSWNmpiGJfTw/YXGxwcuv7/C5+1vs2gSPHBrh0+CNL9UkYsDTR1KOna7hyYAN0x7TTUE9FASBQAlINESxYRhBt29Y6Wm6fc1KX7PYMwzSlB1b+7zlljZvf1kEusXiyiQXl+os5mTQhpVuSruXsJKBe6kP5zqK+U7KjXsu8Gs/dpErd9SZX55ipdug3Qvp9j06PYFf30qtsfHfb9iy98Nbtm45ORoOB3v2XP5iQ6m4/Y0B+Mnjh5ibWxccOnzkBw4ePPzbDz/yhFhY7snhSNMbanpDQ3cAKwPJxYHkXDfmpZde5Fd/eJHrL62xsDLF4kqT5U7ISjdgueux0hW0u4Z2L2Wlm9DuaZZ7hotdwbm2Znqqz7fc2OXWvQk7Nigm6j6dbo3Ql4AiSiRaC7SB/hAQmunWkENnDNpE3PlIk1G/zqVbAm67pk+sV7j7sSmuu8zn0Pke7eUJbrmmz5ceDdkwY9h3wvBP39Zh3/GQDTOSLz6muO0KxVK/w9FTM1y3J+Lupwckowa3Xhmwe9uQQdLjjkcVpIIjpz0mGh6egP5Aoo0g1YY4AaTGCzTtnqHZitm2acTLrujzLTckzDZrXFiaZHGlznLHHpvljqDdg3Y3od1LaPdS2n3DUl9yvitY6CbcfPk8v/TD81y7q8b8yiQr3QadXkin79Pre3QHiu5AEKc1vevSq83OXbt/Ytcll/7h4sJ8dMXevxkg/xsB8CSJZRQN3vrYA5+7tNNLf+3hRx71+0MYRob+IKE/1PSHmt7I0B0I2gPBxYHkbDvh1isu8ss/PM8NuwNWOpPML7do92qsdANWeh7trqLdh27P0OkndHopvYGm3TfM9wTzPYjTEddeNmDjTEqvb3jzLSN2btQkqcSThiiGu56scfJijU3TCc8cqYFusHer4vrLNWGtz6OH+swvNLlqZ5OJqWXuf8rnpstqLPZXWF6eYONGw0P7FN/72h4P7/PYut5noddmeWmG66/oc/8zKTP1Ka66tMfFdpuHnpui7jW58XLDnu1DkD2ePCZYPxNzYT7m7id9hrFCSki1YeemiG+5JaLbU2ye1lx/GURRg6V2g6V2yErPp9NXtHuSTg86/ZROL6XbT+n0NSt9w9JAcqYjaA9G3LZnnl/8oWVuvMxeHO1unU4/pNv36Q48egNFbyDpDgXdXkq3n3Dd9TfG2qifeud3/r3DzUb9M0Hg6xcbWy96JjMe9Ujj/vedO/HIry9cODhz7sIKzbpECBso2luCEICwFqAQBikNUno8fHADP/s+j7fdtsR3v3aJXVsizi9OEAZ16mFAI/Rp1j26dUlr4DPZ9OgPU3qDlA0jzWBk6A5DluZrnD5liBLNmfMJYWgAQaAMnhT0BwqBT9L3eMlOwe7Nhu1b+ozSLp9/WLH/8DRvuCHk+iuW+eDnDYFosHNLn6fuV2yZUqyb6FNTdaLY52IXmjWPrRsET+yPuH5PnVddt8AHbh8Q+C1ef7PBD/t8+aGIzz3Y5LljdS7Z3GDnppS56Yhd62Ku3pmilMZTBjA0wpC5qZAo9un2A5455NsShYGiN5T0BtAbGnp9+927g5TewNAZGFYGMN9XXFg2NCbb/OSb5vn7t4249pIm5xYmaPdqdAtwK3pDRX8g6Q0Fg4FhFEOcGO752sN+c2Lm12fnHlp63atu/ledTv8DExONFxVfLyrAo2Efg/ihM8cf+OWj+740M+r3qAUBxijs4iLIjR4hUoQAKWwnjZIGJVMCKXnq0ByPH2xy6OxF3vayHi+7cshUa4KldoNmp8bEICiW1N5QMhh69Ecew5FhGGmi2BDHhiS19ygJMBqkEvieoBYIplqC6RZsXKfZuqHPuuk2X3gU7nncR+pJ3nCDz0v2drn3uZhoOMFtLxG0BwMuLja5dY9m3VSfuhcyTBTznRilBS/Z49FojXjsQI1XXj/JLdd2eeyAAjPJDVcG/OC3LfGlJyK++HCTfSdrbJ9TbJypM91qMNmCegi+Z1AStIF9xwRpKogTQZTAKMZ+x1HKYKQZjuxK2B9pegPojGC+J7nYhZEe8rrrlnjry9r8g9drkmSC8wtNOr0a3UFAb+DTGyi6A0V/KOgPBYOhoT/SDIcJo8jQH6WcWzzH2Q9/fiaK0v/y97/1VV63239fq/XigfxFA3g0WkLK9AfPn7jnl88e+9J6nXSp132Q1q3AQGn5KYQQSEkGblDK4CmDrzR1X7DQr/Ohr2zly493eMXVK7z7dStcvavH7FSDxZUG3UFIf+BnwFb2HglGsSROBElil3qTLRpKGjwPagE06pqZVsyW9X0Sehw6E/MXd9c4eqrJVFjnpis9br2mw0MH29z5wAQ3X1Zj+6Y+f/oVgRIhE62Yld4IbUAJmJvo0+kG6KTOW19xkQ99rsHuCzXecnOfKF7k7qdnidMaL71yPW+5qcNl29p8+bE+T51q8OSxgK0zkpkJQSMUBL69CKUAIQzagNaGOMku1tgwiu2FPIxgEEF3KFgeCZa6ILwh112+wru/ZYVXXJkyO1FnudOg3a3T7Yf0hj69QbkS9EeSwRD6+YUzTBmONIPISjmD4sJChz/+yBfXjxJ++e+/5eXm3MWlP9i0fubvPsAXVgzKQ0wtCbN04RPfn8b9X+tceG6dR4d6LUREqf3FXJkIMqkikEKipIeUKUqJbHnW+MoQeoa6J1geKhbb03zkriYPPtPjtmtXePfrV7hud5vZtE6ShPSHNXoDn8HII4oVcSJJUkmqBdoImwUVhjDQNGoJYRAR+CPOLI64/RHJ4dMBx05Po3TI7k0BV+xS3LC3gwrnefpIiy1TDa66BDbOLbPUmeDqLZJEG77wcMioL5lqJrzxpUM+c3fMyfMtLr/U59zKkGeP+mzbMM21u+a596ku9z8rGEUBe3fNsHdbyN6tXY6cW+LwGXh4f4NDR5s0PEHoSZqhoeaDlHbNM8ZerEkKUQJRKuiNBJ2hoBNDpBO0GXLjZR3e/S0dXnF1yqaZkOFwksV2jW4vpDcM6A88K0eGisFIMBhKBiPbNzocpQyjbGWIDMPscRRBohUnzrb5/T/76vqHD8z/2tRkI/m3/+ULH5xoHOE//NN/8ncX4Gk6RIjaK45Gj/2BXvrdmQn/3LpABrQaNYZRjBRYJoLiuZQCKSWeEiilUErgKY2nUnxPEHiawDeEvqERpEzVBN2Rz3Jnmo/eM8FXnhyyYbrPu17dZu+2IcNBj6t2GbZtVIxinzQt0/wCg5Qa30s5ccFw7LxgZaD51L0NzixMYyKf6Zpi86zHjo0el2yBq3Z30HKB93ymydLSJDfv9bhqd5svPykQic/6aUmzkdCPA6SRYCTKC2gPBReWBFeaBq++oct9j9XZvC7g5qtm+MfftsAffq7Lwwea9IY+iystdm2uc/mmPi/d0+U7Xtnl7NISn7o3ZLEfcuKcz5kzAb6yx0og0MaQaoi1IU0007Mx11zZZzSK2bttxDtePWL9pGKmFRLHNc7N1+gPAvoju8oNCmBLC+6RYDjCrgSjlGGkGY1SC+7sPohgmAgGEfRTj9NnOjx27IF1r7tp9jff8MrZ+ANf9f7sD/701/nB7/1Xf/cA/k9/6S/YMFsTH/jw7+1aXti3Z8fMs7zlFh9M02prqZHCIKRGSD97DlJKpAQlZQZuC3bPE/heSuAJAl9T8w312NCIDJO1lOm6oB9JulGTY6eb/OqfzYBOEEnCDdf02bUxIklAG40xVhZJIZBK4PkBB04G7Dtco1nzaAWSdQ3B3Kxk/YzH5jnFjk0pl+9YIRWL/I+PT3Di5BQ37/HZuzNlkHR54OmQqbrP7KRhqhXRqFsppLWkPVQs9QyL7ZR2r87Lr1rhkX199p9UTE3UeOmVU/zwWxf5rU/AY4eb9AaGla7HhaUJNq5rsH56yI7ZIf/HO/tMNNo8dQwOnJL4vkEpgxAaMPZ/BpIEdm5Mue3qhDT2iZMQYxoMI5/zCwGDkV3RhpEq5NsgEgxHgmFkWXsU2azsaKQZRZphrLP38jsMY0E/FvRiwUosaMeGpDuAwSNTc8Gm9/7377ssef23/NBHvuOVdTOz438Pk/9vAfg/+aW/YP2GafV9P/cnb//9Ty6956HHzvL6l7S4ZHOHy7cZpLJBo3VGsgBS+ChlUFKhlMr0tsT3rOYMfMXIl4wiTRiljGJDPdaMYk0UGSYSGMWaUQJRIhjGklEaEqc19h9u8uR+SI0hU/woAb6EQNmaj1YIV22CiTpMNiXTLcXslMf6Gdi+ccSmuRVis8T/+PgkR45Ocv0liku2SnZvXearzyZcWJzkhl2S6QlNLRgQyhCjBEkqEcaQpBHLvRoXFn2u31vnJXu63PtYjQ3TgkatxfV7ND/59kV+8xOaZ8+0WOlpVrqK+WWPdVNNpifqTE9MMtGImWvG7Lg+IvQTfC9BqRSZOVAGe1HFseLivEecKOJEEcWKUZw9RpJRLBlFkmEkGUXCBqiRYBQZRpE9rqMoJYoyTR/b93NgD2Pox4JuJGjHgk6k0cM+L9m9zD991wo3X77QSGX9g8sn/kiHjU0fXzn1O+nUth//2w/wX/zvf85sy1eHz517x7Hj5z/w4JOnawnr+NxDIZ4n+cUfWeGKLV08pZEyLQEuDUp5KGnwlcH3FL5n8CNJ4At7EnzBKFBEsQV6HBuiJLWuSOLcU0hSQ5pqUo3V25oC3EKAkuBJ8H0IPUEtFDRCSbOhmGxIpicF62cSdmzs02qu8PH7Iu5+eoaVhQmu2a7Yscnnsm1DUrHCFx5u0PQ95qYVrcaQp4/Ac0c9rt5m6I8U114Wc81uw/lzKfPLAYNhgzfd1OVrTw04dEbRrEvCYIKrL9H84vcvctezAz5z1zoWO4Yd61OW2x5TE4rJpk+r4dOsG2qhJgw0oZfiKUsUMmutNAabsNKCREuSVJAkgjiRRIkgjiWj2DovUSyIYkMUwShOiWJN5BDHKHbvFtyDDNydWNKOYTBKEEmf63cu8Qs/ssSbbtJ0+xNE/aO1IcEf94fhP0r0hr88ue+D6fYrvv9vN8Ana1p2e+3vPnvqzO8ePXiyNlP3aSeKkZjg0/dLopHiHa/p8M7XdpmeSOj2UzyZ4nkpnufjeym+5+HHHqGnGPqWaUa+JAoEUSzsyYkVcQJRLK2DkJS2X5Jq0tS6C6nJnJIskM3dGSWt7Ak8QRhIaqGkWRdMNAxTLc2GmRFz010Ss8JHvib5w8/Nsr5W45rtgu2bfHZu1uzYtMzHHzAsLdXYu1ExPQGtRsyF45KLyyHBLhjFgrlJydQUHDpmWO5ozi/UuGxnjdfe0OX2e2rMtiAMApSc4urdgh95y0V8eZFP3zvNc2dqbOjErJ9KmGwqWnVFoy6phx5hAKEPnmcdpjyOKUCOvbBTDWkqSFIyoEOcGqIE4ji1pBBrovwx1pntmLsymQWZCAaZJOkkkm6siYYRk2GH73rTIu98dY/XXw+dXpPBqE6UBAznT9a013qv8ZseIvhzLM/87QT4+/7oE6Sp/v5n9h39b0ePnppY11D0Y4MUgjYeQ9HiC48oHni2xrnlRf7p2/tMTyQMw4RuP8HzAnzPx/d8gigl8j2CyEqTKLapdMs4wjJRxkpJAnEKaWqdBK1twKW1yXs4M3BbgFttL/A9C5BaCI2aplVPmGolzE0NWDe9wn37I/74zjoHjk2xc9Jn90bYujFg6wa4fHuHftLhoX0T1JXP3LRiqgVTrRHTkwlB4CGEvbgGo4ClTsxK39DuJVxcDti+scUtey9y58N9DpyZoBHG+CpAiEl2b1H8w9cvcOPlF/njO1s89MwUiz2P9RMJU42ERk1SrylCXxD6Et+3sYpSWdCe9VUabA+r1hRAT1KdrW6ZtZhoktSCO4khSkx5j60rM0wsqfRjQScRdBMYDhN0MmC23uUnvnORf/M9fRqhT7vTYBiFjKKQYeQzHPl0l05P+PXgf8xuuDLY/+Qn/3DvS/76irT+2gC+sNRGKfVDv/cHH/3lQ0fPzPpK2AOMsZJAQFso+qrJytDjv33YZ9+RZd76yj6vvq7LhnUjup06Ay8g8APCwGcUeYSBtfdygMexJErsshsnmaedkll/ZMwt0YYS3DZJmTE3eMomTALfUAs09VpCq5YwPTFi07oOF9p9fvtTPl94ZIal5SaXzgm2rxdsWR+wdb1g1+YhXrDCh+72OHqqyZ4NkumWZLKZIuWIM/OG0JNIAcYIothjx/oOD5PS6SuWO4YLS3X2bK3xHa9u85dfDjh+IcT3YoTw0aZJnEhu2LXMju/p8IXH+vzpF2Z49HiTLdOCdc2UZi2lFghCXxD4NlbxFDZwlqKoyTDYi0wbrNOSWsDnIE9SK+ks2CFKba1LlCePEsEggW4i6SYwiDRpf8TWdV1edf0y3/7KPm++SeOJOksrdaI4YBQFjCKfUewRxbbEudc+NTs1s/3XLr/u7Soatt8X1P56Jm79tQB8cWmFIPD+8ac+e/cvP/zYs+slBt8rU+82GynwBASJoCtqtCOPD321xl1Pdbl+b4fveX2ft9zcZnYqZDAMGYwCQt8nSnyi2CsCpSRRxKkkSSRxKkgSSZoKUi1Kra3zi8v+n8iWbqWs6+ArTeBrwiClHia06iPWTfUYxAO+/LThL746yUPPTDEd+Fy9xbBpRrJhNmDznGTrhohLtizz1PEBn/raHJPKY25SMNEUTDRi2v2Uzz1QoxXYC1sbGIw83nrbiM8+aGti2j3NxWWPretbvO1lPR7a32XfoYBmmKCksCDXDYaR1fr/8LVt9my6yIfu6nD/c1OcXK6zcUIwWTM0Ak3N0wQ+1lqVZAky+73z8iOdSTWtyxUuyYBuCQLiVBCnGbBTwTAR9BNBL8XGPFFEs97nbW9Y4rtf3+GGPSkbpn0GwyadXkAUhwWw49izQW2iSFKJ1nDx3LPr6xMbfnn77lfp4aD9/lr9mw/ybyrAl1dW6HV6eEp83xe//LX/evvnvjzbaa8QBopUmyLbJl32lIZQCrrKp+8rTndCzj7Y4MGne/zlNV3e8doBb7xtyMxUQDQKGSU+UewTJ/agxYkiSe1BS1JJmpYA1yZjbl3WlAmRrSDS1nF4nibwU8Igph5GtOoDUgZ86THJn31limeOTSLikJ3Thk1ThnVTirmZgI3rJJvnYrZv7HBqvsvvfaZJMqqzdatgquUx0YSJRozwIzqDJlMtgxACYyBOJDOhItEJ3Tig209Z7ijOzNe58pIWP/r3Vvi1Pw85Md/EU3F2YXgkSY1hJNk4G3LDpR2uuaTHsyfO8BdfrXPno1OcbddphopWAE3fEHgGX9ljrGQmyZzzpQGj7UWXakFqIEmF9c9TQZTaJNEgFQxSGCSGJEnQ8YjZ2oA3vW6Fd72uyyuujpms+0Rxk+V2yCgOiGOPKPaJElUhpCKxlgoGy206T9y1fjD0/uvOy25OFi6e/aNao0mz+c0D+jcV4N3ugHqz+e0PPvTob33pS1+eGA07tOoqYweRBT1l8KOEsc6FhDDV1JWgrwL6icfFUY1PP9jk7mf6vPSLPf7Zd3a5YnuH9VOKiYZHFAdEiU+SlCBPc4BriTYSY6wkMEVAmaX6lbHJIi8hDBJ8FdEZxMx3Yn7j4zWOXZzmsX1TGB0wWxesX2dYNymYnVDMTvlsmJVsnE3YMtdndmqZLzyuefS5Ka7ZKphuSVoNyURD06xHCH9EGHp4yv59YyBNJYORx2AYk2hBd6Dp9gxLHZ/zixPcenmPW65c4UNfrFFfUngytoA0HkkaEMW2x3PdVI0bd/e48dIeD7/qLCfmJX985xQXVxqcXgwJlKTpC4JchklTJNJsyjOTKlgmT4wg0RBrwSiFYQKRNpAmkMRINWLz9IBrdtjzcdMVKRN1jyRp0u5aYCeJlxFQDmxpnyeKOLbgjjNJmWqPYbfH/P13z44S/7euuvoly8PR4FPfTEx+0wB+6NAhtm7ZqH7nvX926eFDhyZW2is0asoueQkobVlEpQKVWBvQS8FLBb4yBIkhTAUNJRgoQd8LGaQ+i1GdOx+d5L7nBjTDEf/ozW22zibs3Dzg1qu6eMK2iAlh5YrNStpaaWMc5sYgpEEJ65kbEpAJzx6TPLLf4/aHWjx7skWUNGh5irm6YaZpmG4Y64NPeMxMesxOCTbOJGyeG7Bpbpm7nxnxntvXs2nKY24CJpqKiaag1UiohyPuO6gYRh5+04LKGEGUSGqe4ro9Ax58esoWPg1SVjo+CyshFxam+dG3XOD0wiIPPjGHLwERo6EA0CiS9AYe060aUxNNbtnT51XX9Pme18yz/5Tmsw/VeGh/nYNHmyTCYzRS9GOFErIof4A88MxyAkaTaIPRGl+kTAYRNWJuub7Hrk1Dtq6LefcbR9QDSbPuE0UN2t0gW0m9jHBU4bXbuyzuroyMU5HFTYrhqM2h5+6eiIdnLr3lFd+ljh87ku7ctftvDsD373+O2dnp4PHHH/mBybr+b4PeEmHg24o8YWs7lLaSxHrcApVgJUJq8BLwpcDXhjAx1JSgkQpGGoapzyD16ac1ut2U//qhaUwSs2FuyJXbh8xOJrzjtQO2r4+IY5HpbQkOc5PpTyk1Qgo+eledp440EZ7HibMNzlxoUKsrJkPBVNMwUdNM1KBVF0w2FBMtxXTLY3YK1k0lbJgdsmV9h9Ss8NGvTTDoNblsq2GioWg1JK26plVL8P2ILzxYY9SX+Ott6VguUZp1xZteOuCexzW9kaQ3SOn0PVa6HucXG1yxq8U7XtHhsWcbnFhqoaQG4kwv+8SpYhTbxExv6NHuBbTqDZr1EVdsHXLz5UNOXWxz/NwKnp/y5FGPv/xqA6Fs4Rrj8weNBjQYQxyl7NiQ8K7XDlg3kXL5DsOGWUgTn1HUIkl8ljs+SayIUy+LgxRxbFfSOFEZiHNgiyxOEhnABYkWhR9vjMfps23Clvlvjz/2aH/79p1/eGD/vujyvVf8zQD4qVOnuXhxfs+5c2d++6mnHpO1UBURuVQGlUXoKtOCOdA9LfASqxPj1OCnkChBmBpq2pCkgkgbolQw0pJRKom0T6xhvjfBV5/SGFI++ZAd2YDR2T3P4mUWmcgrEiVSKZLYQ2oP35O0Qtg1Z2j6mkaoaYTQCAXNuqRVt3JosiWZnoDZyYS56RGb57qkLPMbH6tx79Pr2T0L042MvRuSVj2hUY9oNgbU6w1CJVEy0+BYORDHPsOBYDBK6Y4UvaGmO9C2Za4ZcPrCJC+/csRPvvMCv/6XHidXQoTQGBOjU0Oc+ESxZDiyZaytgUezFtCo12iEDWphTKseccNlEYEfc9NlCe9+XR9PJVkSSNug3xXlmaTTWiKEJPQVEDAceSwue7ZuJ81jnuyeyDIGylg6SS24c2crB3KSuneK52lqW+8eeOBhmaTyt0ej4deGw+Ez3wxs/r8G+Jfv/CTTU1790OEjb39u/yHhKYWUgiTRSGmBnUpNKm3hlM1QWnmSpFYbJil4qe19TPKIPs2i+jyy16J8rQWRliRGkmqPWIekme3l3oospQBPCKv3FdTqhppnqKmU0IfQg1pgqIeCeiBp1CWNmmcB3hRMtTQzEwmzUyPWz/TYvH6R99yu+dM7N7BtSrGupZloKloNRbMBjXpKqx5zblFz5FxILbAXNOSVfoJh5LFro2bjuiGdYcBgaDIWl6x0PVr1Gq3GFO9+3UWOnjvPez+1BU96GDSpTkm0IU48RpFiENmiqH5N0hh61EOfepjS7toYI/BTmzDzbRJN5VljYbKgO6tbyWrwLcgFbZ1VWWob16SpRGtJost4x4K0DByTynurgZ3mwNbCSvv8PCcCg+DpZ54SK53e2zdt2XHkw3/5scG73vEdLy7Ab7lmIZhfPPcz8WD5ZzwRSRFKktQWSamMxdNUkGYp+FRZHZ5m8iTR4KXWr07z5IM22WtTvFc+LyvlrJcrikDJ1dxAJaj1pMaTZDUt4CuB7xnrG3uCWiipBZJ6qKjXFK26pNUwTDZTploJMxMj1k332b5hkYcOjvjQXZuZroVsaGkmGsKCuy5p1jTNWkKrMeKhA/Dk/gaXzplM95Zp88FIcdPlhsu2D3j4mSn6I8NgmNIbeBnIfRq1OvXaFN/1yiWePHiRB/dtBKPQOrXlsIkhiU1RTzIYeTSGhnpNUQs0YeATBimhp/G8FN+zJcbKrf0RBoRBODXKZXBuS4h17kjp3H51rNgc2DoHcP46z5aOgVvbxzQjuPyeJ+WWlvsySs/8hyMLfmC85i8B0YsG8MGgL+No8AsHj/zhv1paPBfUw4AoKctcUyEsi0tDKi2o09SglLYHSBk8nbG8tg20OqV4nuYZN5Nn3gw6y8TlyQpjDE7mvbLiliW3uSzKMpYKp2jLZv/CQFELFfVQ0KgLWnXDRCNlspkw1RoxOzlg89wyDx4Y8Asf2MDJ01Ncsk4z1YCJuqJZVzRr0Kyl1GsxgT+kPbTFYr4ySFl+slSLzE0ImKjH9BNNP6uz7g9Tun1Ju65odENqYYudG2N+8Qfa/McPSh7YtwGDQhtNmmqSNCFKNFGsGEaKQSipjxS1QBIGhjBQhJ7G963f7yl7/JWyAFeZTBHCVBt0s9S+yUjEZLUsaQb4VJePloxk9ihKgGfPXWAnDpkl+aqdGlJtM6pxrFk8dSbYsqv1U//mJ77V//c/1v/39Xrjr5zO/ysDvN/voHX8S089ft+/OHB4oYbw8DybIpQClIZEgkwFWgoSlcsVYw+MMhbEqUHnz7VAa1OkkXXh0YLRxnaRZyWg7p0xgGeyOwssrURRUqCUlURe1orme5IwsAOAaqEdyVAPDc2aptVImWjETLYiZiYGbJ5b4cH9ff7jH67jwMkZdsxYh6VVlzQb0rJ33dCopTRqMXEa8SdfbCGVwpcGJUqbUJt8Cff5h29Y5o5HI7pRSD8DeG+g6PYU7dCjFoSE/gSXb0v4zz+4yM//oeD+ZzagjcxAoYkTW2g2ijSjmi13DUNBzReEgc1sBp4pMrae0jY2ktkKJx2AlylPICMRbC7Bui1ZIJ8DOJs6oIvkGhm7U6y4JaAps6basnaaFcElusykBr5H++LJ2le+cs+/fOMbXiva7c7PTk7+1aZn/ZUBvjR/BGP0LedOPVoP1AiUTY3njJmmoggoUwlKC8viXp4ezsGdyw/7ni5qJcr2Kwt0YesoclDnB37sc+UAz2sw8kxezt6el9edSHxf2vqNQFAL7cyTRpjSrFtwTzQjpiYGzE21eWh/n194/wzPnljH1mnBbNORJjWPZs3Wr9RrCfUwwvdHnFmcxlcCJXVmy5VBZppKkkSxadqQJDGduJZ1ymgGw5TuUFLvK2qBT+DX8L1J9m5N+M//eJ5/9wfw4HPrSbW0AE8NcZJmTK4ZhZpaJBkGqpBgvg++lzlXSto4SJLJFBDZ4xoYt3KFLCmEKJJDOksO5dniNHXe16XkLORnaoqVOCe3ssIzA3pWOzQYDvny3Q/Xt2zbfouU8uvi8ZsK8BMHPk3N6zWee/LOwGOJZl1kPYA5IwhSab+UkoJUOV80tUDX2pB6FGCvAjuXIaYAusnlSP78eT6bFGURlSwCW5GlrWXWKJHLE6j5EAaaes1QD61+btRjJhoRU80B66bbPHpoyM+/b5qnT8yxeUox19RM1gWtmqRRUzTqgnrNXhw21R/x4D5BbxhQU2QXmdXgeRNCqgVx4tGsKW69qstDz07Qj61MGYxS+gNFN1SEgSLwg0w/T3HFNs2v/PBFfvr34f5964m1JM6Wd1sQlZWyBpIw0Ja9/bKO3lP5nUymlKQksyzvWiDPk0ImB3gG+LRwXlhz5dVZLKVzUGuH4ApgOz/PJEucwKlzy/z+Bz8dvOvt39p43x9/tv9D//Bb//oB3lk+Rmtq29Thpz/8e0b3X6lkTOj7SKGRUlq2Tq08SbWw+jtftiSWsYslDbQSa7O2A2hdALtsCibT3sXJELagSMgM3FmRkSoADiqrGPQ9CHxsJ1CQFViFKfVMXrTqIyZbA6ZbHZ44POLn3zfNk8fXs3HKY66hmaxDsyZo1hWNuqJRsHdKLUxoNYbc/WTASrvG9HSZJs8BozNtGqeK9bOK172kx92PaNtFE2kH5JKaL6n5Hr4X4Hl1pNRcsc3wyz98kZ/+fcP9B9YTa484qwC0Za+WycNYFtWFgSfxvKwISwqUlx8bis+XX4S5VBF5VRplQmj8rp1HrZ3HYuV1VmvzAsDOJUsmYeIUhqOUTmfwyv0Hj/7Bv/ixd/zYy28+vnLl3p1/zQBfOUevs/DTSwsnvnvQW0LJEM8zmeesrQyRILWxIJY2wrY6O7/KBVpRXPV2QlMuQyjYuxJIjjN3hvQ8I1dob5lX0JW6O68Y9BS2PsMz+L5tLK4FmlqQUq8lNGoxzdqIVmPIzGSbxw6O+JnfX8cTRzewfspnfSNlsmEycGfsXZPUQ8v+tTChEUYkekQ3ChFK4ucMXmhwkbFbltmLfZrB0JYLRDWmc5APU/qBZfAwkLYm3ss3oDVcvdPwaz92gX/7u5r7928g1h6jVBClOmNxQS3WhL4h8G3vqpfFHba/VWRtgPY4WZkinBXQHtXiwnRjnTFwFyTkEJML7jKuykCeUjhhBbunVbcsSe0JPX9xkf0Hj3333fc9fmQUxf/ur5XBlxdPMzG1Zcdj9773mpWl8yA8pDR4WW+MktImd4RAaoHOZYo2WUeJZe9iGcu0my6WbfeACYcpyqykcdfMnLXdoDJfbrMOHZUFU56XdQZlRUh59WDNTzPdHFOvjZie6DPZ7PLgvoSffc86Hj+6gblJj7l6ymTN0MrAXa9ZOzEHdz1MqQUJE82IfccNdz3WJJASX+ksiCs9inz5jlNFoj1efUPMpZf0OHKyzlyDss9xlNIfZizsKTzPL7qdhDBctQN+5UcW+He/r/nas3MM47pNhiWGRlbDHfpYkHv56qUziSKRKi1WOCWFA3DhgJxVeqUEuakCvKhQLFfetVbmqpGQPTdmTLPb9wNPcfrMOe6655Fr/sPP/MiOo8dOn7hk19ZvPsBXls4R1id3njz64P89HCx/exoPUJ7CGJNNm7LWnhCWFXRh/eXAFgXIK0tZwdhZWWvhaY+5JKvckoy5x8EtDFK5ZQHZ/JSMuQNP4/ua0NeEQUItSKiFEY3aiJnJPsvdPvc8A7/yZxt56vA61mXgnqobWnVBsyYKr9w6L9qyd2ABXg9HRGnKcFCjpuxFJoWoVPLliRQbaHpWy3sjRpFhEAsH4JogSAl8D9+XeEqhpF8AHAHX7hL8yo8t81//POH+/bOcbU8wbEqmUkMrMdSyiQOhbzLvP3dSTMHeuVTJAV583uxDuzgvFGJ2UvJVtQR3VVLaas6SsY1x5UsJ5JL8TPHc9oILur0+84tL337nV+5Pb7v5Jf/yxKmzx3ds2/zNBXhn+QSDXv3m5Yv73t5ZPEgYekip7ReRII1AaYGWmd0nS680L8csAJ4FJXa5NtkBEM6BqWq+8lZVhflJsOMecvY2mTwxznAgWxbrezobM5EW4A6DDNwzPeaXB/zynzT41ANzLPSmmZuUzNUycNes7m5kgWU9lDRCkzG41d61MAIivvJEwHIcMBtSqcdGVFeoNLXNDxOhx2uv7/PggYhuHDJZdKxrgpGtVQ88C3BPGZT0EdImaDCwd5vk1/9Zh88+OOCX3r+B0wvTDKY8pgJBK9E0EghjO3o5UHagkZ8HmlIUQXD+6Abq7oUpRNErUpwfGJOQLrCd+Em74HeDUIfZ04qGz/59AQLFY08dZuvmDW9vNZt/0usNjn9TGTyOenh+47JzJ+755/2VJ2g1DFKmGEFR1FRmvDKg59aRkWXTgau1C1DnEsSUNtQ4a7uyJDvQObPk6ebcBVA5wJXBkxbYnrLg9r2UwE8J/IRaEBMGMa36AM/rc/eTKX/wuQluv3c9kZ5g/YRgXc3KEmsB5j65yu4iY26XvWM8b8R9z03Rjzw2NfLPM87guZVmS0lrvuKWKwYk2gJ8EAvbtZ53ro+0DQ49kbG4vZBFllw3CNZNCb77NT1a4Vne/7kB9zw3y/m4Tr8mmUgMTc9YkHtZHKJMFpdkxW8yP4airB2XIClZfHxHwUKq5CMqGNfmbvdQWXtudF696KzilRW9lK35BZVqxZfvfZarrrz8n3/7W17+eKfbPzTxDYyE+7oAN9EzLJ//JH44udkMD76q4Z9De7Vsnogo9HEO7sqjdhwS52cVOZJrbbJkQgXYjvXg2lfCjEmTPCtH1pVPMfkqZ25f2VqM0I8JgpiaH9FoDAmCPn92p8ev/tF6jszP4Ic1NrYEM2HKRGhohtDMOuzroc121rKEkK1fSbOVwMqThU5KLwoIlCKQpggwcb5KfmHntRtR4lP3h2ycGrDSbzGIRTZuzcYKvp9mNp/K7E5lAV4JXG3l47e/osdNV87zK3885E+/MMdS0qQf+jR9yYRna3BCDwJF0Qzh5UmfbOWThVQpE0AuqVTFigt0KiuwrrC6q83HQD1eduFeFMVK4HHgVIdP33PgVafbevP8YufQY88e5Iar9vy/A3icaCY2vmJn1H38PSK6j4mmJoqzpoICzHnnjMw+pAvwUqYYXdY35MFjeaUKR5KIMWmSg9uUbCKd7qAc4NKgpC3yKpk7zUCeEHhWkoTBiNAfcPxCwns/2+QTX5vl6IVpJho+MzWYDlNaoclS7zm4ZQZuWSSFapn2DgN74Uw0R3z8Po9DJ+rUsglcRbsYJcpdQkhTSZx47N0B33ZTlz/4/Cy9hsdENnskjLK4QWk8T2Zj63BA7jtsZFeF7eskP/u9fa7ZdZrfv32Go+cnWUrq9H2PphI0MqAH0rYS+pnLVKx+TteVENmEyLyvU0BellWuqc5Km5dOFL75akuxkCgOBsrXjrPmsHqiBZ3E59Nfe4aX37zzPT/0Hde9+fxi5+tKlRcEeLun8euCex54aOvihUO7d7SW2TjbApIS4FoWbK61dgAui2CqlCGiWIJc9jc5Wzs2oMlOGDlj5yB32t5EVmsuZQ5wnbkmOXun+F5iO3e8hDAcEXgjumnEb38k4P2f3ciZxSm0qjMzqZgJDJOBppExd6NI38usTiWTJpl3XoA7sNnLURxx6HRILwqZDjMXJ0865a5EnoU1Tk1K7DHR9Ni1NUKFQ7pRi0EgqMeGUQ5wL80SNcr62DIvAV4reFXMTfb50W/v8/ZXn+f9n+3w3o/OsjBoMvBq1DxFwxPUla2/D7JuHyVFlt0kWw3N2kzOGnJl3GEBKrFUztIOkelVbJ6B2rmnmayNNfRSD0/Po3tP7k4G4dbrr3z5cWPi6kX+vwJwmZ4ljppze7cHH9k/v89fN9VEa2OnJ+XM7VSalexsA0y3Is3o8mdmjMFLxhaYNT+JcexAUwC7Ik9kViWnUgtwL8VTKYEfUwsiAj+iPYy47ynJn905wUe/NsswbREEAbOBYCrQNANDIzQ0ghLctVAShpIwkyY2MZQ5ExnAA99mPo+dM9zzaIMo9gmbZlWAmd/KdLY9hlGs8H2P193U5UNf6nHgdJNBzY5mGPmGIAE/1viRRilpfWtpB5IWw30oj2eqJYmWNEKPDVMD/u139bli+4g/vbPFI/smmR80GaoA3/eoeYK6hDAfsJTbqzKzewUOyKs1K+PFWS6j5wQ17ojlr7XD1Jrq65QyCE2NINYQGwHS0O1P8d4PnfD37H79R2oT7ZestHvzf2UGf/bsehkkT97cGH1qcuv6Bbv0yxQjXZYuZYnJwL4WqF1ZUtxzYGcSxWXwSuGP7dGxTF6klHVR7plPw/JUagGu0kKOeF5Muxdz7zOCD3x+gjsfm2Sp3ULWa7TqiinfMBFoGr6hERjqARlrW+auh5JaoKgFglpAVqGnM3BrQt/qb+WNOHgazrRrNrGS6dtq4qSsn7F9kBbkiZZEkceGCcFl2wY8fTKhH/uMshnfQYQFn8on6+aJGpBjnTlFkJbZkHFq68Pf9boBb3zpMl9+vMsHvzDBI/smWOw2aMuAXuARKEEgBaHE9nBKu0udEuVFqkRW9rsGg6+qXxlncleO4GRAcVhbQ0pWiWggMVmfaPbcADUJ+8+MeN9H7pj8qR951c1X7t3zeV5geNALAvzC/Jmw3Va/+9C9h5r/4XsXgNBh4azvMZMiqZHFc+0wudEiW5bK10AV4M4BqfBCRZoY3AL9co6hzh5TOxA/dzNkzHw34e5HPT53b4tP3TPJxU4TUavht3wmPJj0bSdP3SeTHVAPRHaXWclpprsDQZizdw5wLyEIEmpBhDExX3ks5MS5OutmBL7U5XTcNdiuKD/NJMVg5LNjg+B11/f5xAMRvdhnEAtqvu1XDbLJUuUqpQq/GiErMqU4P3mjgrZ+ez0c8a7XDPiWmxb55Ne6fPbeBnc/1eJiu8FABAwCD89XeELYFkIp8bPGcCUMCuFIw6p9uAaZF+dWO486K9yqSBBTAjrFAjpvYDHZPW+pGySa2Ay5de+DzUu33PK7pGeuAAZ/JYA/9ewjzC92+dIDfX7lR/uINCZJPBKd700pMw0u8EzWyb5Kitifk4G+chLA2oxr1ARWAkoH2ELozA7UiAzgnpcSeDG1WsxwlHLgDBw/q/iLL07y+UcmuLjcBL+GN+HTUJKWb2h5mrpvqPtQ8y24a76dSWjLTKVzF9nPTQZyXYA88G172pGzmqePheD72TJvnBS9qKDADcJsvbQgSe0456t3jbhya4/9ZxoMaoJGIghjw0iRWXs6Y+/cTcktyFKrFD57ZkVqrbLpAz7DyKdeH/H9bxrx1ltXuOPRHh/+UoPjZ2vsP9MgWglJQo+h5yGVtOl8wMsecyYvpAtl8L/q5ropuOydsTYU4DaUoLZXRtZ+qDWYFEizyq0EYQbcctl5OsvPTinzff9gqWP+YGZirQ/wAgBPhsdEHPX/+Ze/9F/WpSsdHjngcfOeiKAWU/MkOrJzLnQxoqEEeL4xa87SunhtwVsFt3PJVxjBOJrPJjWsJNHZLg8pYWgnqSZpyvlF+OJXPY6crnPXQ3XOLNc5crYJYYhqeNQ8RdMzND1tXQTfDs6v+XZcmwVxfpfZXWUAJ9PcGbj9lNC37G0vrIhj87DveANfVu3BQqJQ1oMXjkLupOisrzHxuXLHgMvW93nmaEI/8WnFgpEHQWJnAioH4FIKhJQVJi+Z0ilj1Xn9edYUnPqM/ICJesQ/fMOIV1zT4cxyh688HHD0VMgdjzU4u1gjHfho6REHCiGlXSmyrnxJlvGEQrasBfJKoImbpc7dFifqzhuftbaANlmfbWSLU4SXImXCTXsHfPlxn5N3H5768e/v/WQQxO9fjaKvA3A1+CTSxN+9Z8ux5vvP+/z4L89y1SUxr7pxyJW7EjbPaHbvjPGMII0kGssUutDhVZBbaVK+Lj/OeGBpnIi9ZO1CiqgUP0yJU8PRU4Knjyq++FCDZ44FPHesTmdk5+DhB6gJn1AJGgoanqbu+MChl9dp5GWzti48zGRJECiCQGYXgCm1t5/azKJvdX4tiDE64sKSZGTsxNxAGjzHZhsj8ALkqan2O0aJj8BjbiZCqiG92KfvCet0xGXBmKd0JQMphRPF5sOOEIVtm7eW5YOR/FQV4yf6o4CN0xHbN8TccMmIQTTgHx1r88zxgC8+WOPpYzWOnqwRJwpChZEKhCSVTjaoSFI8j1YRY18cl6UL2FcZW1vrxBOa3Tsjtswk7N0V8eobR1y1O2bfUY//+cmTXOjejuc9/4bdawL8Tz78eT7wuSU1v3ifuOvRWe64z2cwFDx1NOWOh5pM+inbt8ZcvTfiDTeNeO11ERjrNdebBqOzL60FSWzBngeSFtx5Dq56MOxoNzu/xPeM3VVNGuLI0B9aRj9+WvLnd4b0Y8UTz9U4fCpkoRcwSgPwAlA+akIRSEFdQUMZago7zkxlhUfKsnbgC5v0cMHtS4JMloQBhAGZa2JT5r6nCfwky4jG1GsRF5dTvnh/i3Y3ZHpS4GVefF70JZ6P2bQTEGrJaKRYN6t4461D7nhkwMl2k4EvrUzxwE8Mfpx71pnHLlNrF+LOOpHF39DGc/6GBXqQKlJPkfh27EMc+9ZK9WOaQcwrrk645YoRb3vVkIOnJE/u8xlEij/9YoNj530Qkv7AI41UXr6J8XKAj1lGOcArwC4ye4jUILTBYH3EetMm5ITRvPb6EW+4achVl8fs2Jow6cO6CXsR79mYIsw8F7oPi1fe9Er1f/7AF5Jde9/0jTO478389l9+oXHtw0c3EUsN9QitE+b7mvlUc2wp5f5nUj7yxYS5mQSjDdfviXjX64dZY4NhblJz3dURzVq2+hhR5MBWn3NRDOdp9wVPPuWx2JHUa5KH9vl85ms1hrFiGCvOnQ/QwiM2Plr44HmI0MOTkkAJatJQy4AdKkOojK0B9zLP1yuZO8j7Mgtwq6xHUxTsHfiaIMgLtNKCvYMgRqmIrz6u+MQDLVTgWbutor+fn8FzLzxNc8dDMRz6vPW2AZ+6r8OffmWSXlKjmelwP9fhcZ6UMUW3kBCyAJj9U9LR+g7AtWXyxLNM7nuKxPPwktQCXaUoZQfpT9cSbrs84dbLY4wY8Y7X9BnGdpzbp78W8vC+gHooWOgonnwmoNOXmUoSPK8oL3aesK2B110XsW4qtd1AqeZdrx9y3WUxRsPctGZmyqBsFIDWguFAkWqF1h6vfUnAUldfW5uc+W3gR78hBjdmGZia+PMPf+xyRawavqKjPbRWVuSrBIxG65SR0VzoaC6sWO108KTmM1+1wYFJDZPTmpuvjWjVbc3vmulJ9zLPXIeVnuKRpwM6bYX0pJ2JYjzLTMLDzgX2QHpIKfGlsGCWhlBqAmmBECgIVDmjz4JclA0Pnm0EyBuPXXBbhs/Kav2cwVPnnhB6McZEnFkIiEY1wklJkKW9VVaVV8liCkrycqzTojtdK6LYZ7ql2LYuIhBDBknIIBHUPTsEM68hyRNaSrrlrbL4W/Zv5Mk2XWZPddbw7UijJMnmsSuV7X+UECcpKra5BE9Z7bt1nc5WDM0V24dEZoD0NO224JGnPVb6ElUolmpQ7ZI5xtaFN2uGW66NmZzWmMSu7HUFypbPobWPTgSRtvNY7DHLZ7N4DEYBvSGqu9S/XK1/28Qjz406N10ZvjDAz89fwFOLv3Zx+fHX7D+/QmyaeAJi6WGEBONZOpamDAKy4CAxhrbJ9JQydFY0577adL7iWgB39Vt2coRA51sukNWcClUGOVJmVlYO6iztLMk2bs19Y+fRyzrpFdnWexTgtm1diiADd+BRlJhaBs9Y3NMEWXbU92PCMObUguaP72iCF+BLUQaYhTwRqxjc9YfzIaEWbPbkRbHPu9844JN3D3juQote6tNI7Ka0tgqwHKAkVJ4TcIO9vHQxl0LSKfDK77qohfE8hZ/aeSl+BnQly6SZrRvPngudDQ5K8YRBmJR1Dc23vlyDSMvNe0W+f8Zqh6yEgwDtkcZlfJbEkri4+HPbOYvpnGOltSLwNVONY9x/+KHX3Ljuhl/TIlm1J8oqgP/cb3weKWTw+LMLtIceUkEgQBlIjcwsHZUtsXlw4AQMxfYJ9nXqV6oV1vi+ObvlAK8GL0LKogVNCfCFTSuHwlYL+tK+zod4ehnDFYVEHs4cFLKd2cqu+hLgspAtYWCKlrYg0M7gnAQ/Y+/Ai5Ey4sR5wXynhvA8QklFnkj3azmn25UOFeBlTkeU+MxOjNixccD+8yMGqccwhTAV+KnBTzIdnlA4S2UKXVU6FXKXyk7azbuqhCONNF6qSZVEefn25SorVkuz/ZPKu5AalYFc5H8bOyVLSFO4XjnQcweshEDZAkcRj+WFdW75RubIOS6c1rm/b99X0tCsa27cvZ859cHAyNX5nlUA/9rjSwgB587VCFVMqEw5FZWyNiAhO2iURTW5BCl3UcizOC8gTYSwy2rRCyiQlCliO5UKfGHwRQbaTALkz4v3MrIvS0EpGmwDJSzYK+CW9jHIgZ4Hnxm48+4fTxcSxfesPg2CmISYz95X58J8HX9SEbg1HK6DwpgirVTJibEgUDEc2Qm2b3lZj/ueGtJJavQ9j3qiibJ0upJlQVRecCaEpuwcygNNUdiS1jrMZqoYSJX9m54WJErgpTLbxc7W8iQZ0Mtkmi4SbMWueE5uQkgX3JnNW+wV8zznv8hil4m/svCudOKquRX7r6YpSNlgriVQ8WnMGjirAPxPPnwnk63ay9/3ka/dFC8npKnBFN5tbtRns02yGoI8E1WY+flBZW1BUuA6v+fJAmE37RZZIsGDwmpTWcrYzjcpNa7KgS3tfvL5KAQX2MUcFIXtR1wL4HnAmetuL5clJtPb1VrywI8J/Ijzbc1jh+vgBXiZPPGcAqU82yfGEG5PoFN1V/SlysITj2Of6y8dMTs1oL3coJ8oGgr8xH4XldqZjyp2AW77YssKBzkGGJH1TWY1REqTaoGvBamSpEqTKkGSgdwtXsvLIWQOcgfUecmEQGcgJytpzr2yMmlXsRiMy+RuuYYLdPE8IM9/7tMbSLza+pua69788lOH3nHvtstKN6UC8CSO6PXMt074yXV1MYLAszUAWYapWrNrMjCbSraqMPad+/gF7JpJ+VWeZ8VKcJiCwcdLOL28NiKrAc9LPW1zcd6pYmWJKrpXSmDnzbeWvTPN7VHo7dwStIxdgtsvqhNjBDG3fy3kvmdayNAjkMLO3y4qCMs2urLibzybWZY15JWZqbYuwWDoc+tVA77tFV3ee3uLKA3ppZJaahglZCuXW/WnMzmnxy6o52Ny0J7MWsREAe5USZTSltGlzEZL5DvfaQfgDrBltYyilCn5Iu2s6GNlC3nyr1jvXUYfA3kh6YwsG2a0ZBQZ/NS/LpgcfKvWyb1rMvixE6eZnGy98aOf+OL3Li7O06rnwy7H5wA63e7kdQb5hzHVzKSoqhM30HLBnQNAOqCQlDUP7miDnLntFiT5azIGp2jDqrB41g3jqyq47TiFMebOejaDrL3N9/KGg8S5x0TEfPgrE6QmRBXZSzfALPsac2ejosEZa9fT0k4hSPNg00Pg867X9vmTz45Y0TGDtMYgFfgJBYtLaZCJKIrOrF04rkUlpTXpNBVoO4hJa5OBW5N6BqWtXEmVQaW2gtFmj2VRmlxalG51Z1nGXDSlFEA3q3GwRkhWzpcUq1cfh8VdSTeKoTtcpjbZ+97dV7z+rpWls3dMzWyuAjyOYkbD0aW9Xn93r9cj9H1EYopa5py1iz9GCXJ3c6evK01EFnOIqjwpgD5Wnllo8THNWY5hLmd7KCVKLZ5V3FWG3WTA9pQonZTCDrQd97Yx2WTMXQaYnsPeoR/x2GHJobM1jPJRUhJIjTdep+EI8HEXJb/n/aluc0juqMSJz+7NMVde0uOBg3ViFTBIBDUJfmrwEpHJt6wLJ8l0ONLKhcqfdLqvnPEcRRVf4a7Yepc0G3utMulXgjuvBTJZmUDO5BSrh3DAjcgnZq1m77VueQlHzu7u53blSWosIeQlCP1+n9FwsDuJo0vTJL5jFYOfv7hMpzuk2xvYD5SBBmxdcLWNyDgfoGTpQk89/0evSJMC8C7QHXCroua7tN1KySJs97wowW2DTFF0i3sFuGUF4O7wH9ttTwHsIltZMHdK4NnEju0KijHE/OVXGiwu1hGhZ3139yIcr0Fxly3nmGldZdWKN60Vceyxbkbyztd1eezwBKO0Rl8F1FOrxfNyViXJwJ2vFTrzxPM0uGVxxhhRZ/Me3alU9i6zHTmyuzaUO1HL7Hvqom0u7/IXQpbNEeMMPta0UmpxUzk4bhlHDvDVn7tKBnkvQhIPGA0WiONhgboC4O/9o08ipWRleQWprA2osgI1YQyy0l7mgLoC7uqzVeyd/V8pT8YeXUC7LF4ZL1YytnQZXAmHxXO5IlFeFeCBlw0A8vOtA7MMp2fwi1S8zp6nlbunbOfOcyfgI3e2GMkAJVWWvaxeiOMZzPHLvlClhfRz2vwyBk9SjzD1eOcbhnzg832eOlonVj59KQlSnblHApka5zgZ214m3LVUZ3+rum+Ry+SpBq+wEO1oa5WVBKh8I4Os2Tkf5p9f0MmYHrfn0y2Ww2HyHOQvbEGYMZBb9zmf7SgcUrC/43uK9uJ+Djx5Fq1LieYB7D98hst3b278/H/+nV2LCwuFDsoPmshYWzpZuOJEvdDndD+yGH++Wns/v0QRBXDGxyFLh7HzIDOf2uR5+SavmfZWY+DO0/d+3pis7cyQokUs7+lMsnuM8iMOnfHoRgEoL5MnZqw8dvzCrSK8OtBozAvPunHKxI9H0xdcvmXIU4ciUh0y0AG11NZse5kGV8Ju5GoTSzlbavIgs2RyN4Fic3ReMdjUvqe0HZjqabIOIoPU5YSAfLpWmnf3FwZAGVwWgefY+c4v71X1OWst/DmD5zhbpcnto8j+dpykqGDdrpe95scao/4/6oeNHRbgR46f48J8+w2tqdmfXlge4nuyYFolQDtLq/1jDm07ianxnOy4c+K+VwBAVoFQArvsY1QOK6rKUM0c5JQ10soBdfE8S/IoMi/cgtsCuBwK5LvyxGVvlfV1BhFLXc3//FiLxUENEfpWnjhbs+SrjAvy57tVpgloZ/nVskjdJ4nHRMPjJ76jy5cfm2BxFBBJj4GUBFkPZTnyIWNwt55e6KKM1qAzcGubSKk4KyJjcFME6TnYlRQZg1tJlBYuCoVMKXV42U5YypQ88Cz9ksqxeUGPvHq8sv+6zCXklTdSIGWP9XOtn+6vPH1vEg8+WTD4I48/Ry0MOXDoJMMowfeCVXJiFVt/I8ztAtp9PcZupQYXJcjluESpDqYpgC0FUpXjx5QDak9KvEySeAXAc82ti6DS93QBbt/L6y+q7O2rmCCI+Iuv+Dx7pA7SR0pJmJfGOtZmsUd89iWft5qQks0L+9WRKYmW2SZPPlfv7vPtr+jwgc/X0F7IQAaEUhRJHyUFsRPQjTO5cJncyR5W7DcFythVwc63oZjtaFldUI6VKGfRlJNpbbwmZFWeFM6KQ2xUAP+/cDNrQ09KkER0Vk4ipIdO7cYQHkC95lOv+QS+Is89yXEGcuOBbwTb+e9XdKhw9JhYBXR3ec/bvQo2Lxjy6wFclgBXTg21l9Wl+BRSxFelW+I7w4FKzW3Z2/fs1KrltubTX22x0A6hlrknwgnGnkeiIET1RLr6cty2K5q5JTrN3RSP6QnF33tNn0/dN2SxFxIpj0EqM3tSZO6NKJuxZcVdhoy987d0wea5cSDwcmdFZc9l9lpCqiiOuwtyIYXTfZ8P8cykSUWPiwq4K9nrAnUvAPc1f+RmS/Pv6SFkWCgy79EnD7Jx/fTO27/48E8ePnYe31drJCkyTf4NzCEvcO0GV6uYe/XQzAp7Vw5WljipALs6+9vtcLHD3amCO9/ZIGdu5TD3KgbPx02UIyc8ZTOXx44LDp6ooQkR0iuac8vqQTd+EI6rUR4QtxalADnCkSeicDKKdrPUA+Oxd0fE7k1DFvfXMWlgWTy1MsVzXJySPd1Cr0xw52W0kBXKCSf4BC1FYR26sY3S9qLR2YYGRUJLlmRUgFuLbJZKObeyvOhNccHngDeUDlB+jF6Q2R085cfbaBCeRzw4i+9f+ZMbt7/yiZWFA8e9NE3pD0Yb0fqNC4uLTLWCUtuu5QSINf9e5VO5v+dKnKo1WDbjuiCvyhPhOBPCCTZLQFsGJxsF7Prg7j3b0lq54HZAnu1X72eloTl7q+y158UoFfPZB1ocWqhDUMoT37EuKxcsq8dFrOKfgj3dgDPPaFa1eBR5XLIu4i239nn4uQZo35aMSomfZtndtCqVCuasWHIZyI1xJIojV2T2XGariszv9tin2YohRcbqOl9hTUFMZcLHfZ4xt9PeViaBRJUIHYZek8BFSRpGGHQWBwrt0+kssyE1b0zT0UZj0uNefqClzAqNvHL5Lxh1DLDjf3XVOawEk2KMvVeDOn89HqDlgBZrALtgcyWcJlwH3Nl8wnLbDlYD2ysHBBUj3jydgTyx8kTF1BsRDxxQfPKrTQbDABoenhT4oipNxj//eAyzCuCM6e8xy9D1xePEY7Ll8bZXD/n8fX0eOhBgmj6DNCQQFBeaKv5+qYOddbUAudtRZYPP7AJTls1TafW4dlg7Jz6dBZdSC0d/CyfQrcZQJbFlgC/wIAqgrxWvucgqpbKTTxGgs38z78BXQpGmwtaca/DSJCZJYoRJqfuC0F+DuZ+HwcUYyt3zKJwLYzXARZXthPs3y+eFFBElqKVydm9QIqtNKcFdgjwvmzV4XjlC2cs2YfJUFeh+wdb2rpQNMIMgIo5SPn9/g+dONsD3EVJloMrmhjjBpXCZHPdCd46Py9pk2eHx2Y75xALHLowijyu2J7zpZT2ePF5nlASk0megFUHK2GfJvXDGGDwXBdXPgsovNo1WApXbcFJglC3/z/V4saJKu9FBcW50uWrI8XhkLC4Zl6zjmc7xsg43GMwrFN0Lx+7JClJ4RLEhjm3Thnf77Z/D8xVLSx1mJn2kEmVwOAbY51su3PeqF4OovF6luVkD4A6gSxYvdyAopYljFRaMnQO8nJxaSJSMuS1jm4KpveKxfO5nwaWnYsIg4pkTgjvua9AfBND0kSKvHMSxB9fIYjrf0z1KeS2KRVdWWbhG+Ww510QV3T6tVsSbbhvxqbuHPHk0BC9gqCVBpsWVtlvIuNJApBTygHQsg6hKJ8dTlNJFWjbPV5U8yNfGgl3qMtEm8i3b3RVMl8xeHgtTTgAYW81dknx+rJmCVFf76Nmx1TWeeuop/P3H0CbFa68sIqUgGsU063kCYKxo6nmALdZg71XBZWV5+josLh2wu5q7ALnV2242U6mswjCrKLTtXNlzz50PPgbu7O7nU2izAn9PJfbuxfh+TGJSbr+3zj3P1KHmgbQNzb5TwlspjXXv7os1bpWZ2uTlrBTNyKnJU9El0EdDn1dd3ectL+/z7IkaSeJjhGIgPPyU4jOJtGTx8iOszeTuEHulcua2bG5f5zt2uG6WBbl2g8yMwUt5K9Zmb+c1RTJIrI0fB9wO4tY4llbmJamgN+ojZYzB4AWBsuO/jCaOZVGPoL9O1dTqzKT7vDreywUxlNNWc8YuHRRRAXsB7IpUcdP0zl2NgVs5d6/cBDUHtO+AOndOrGNiH5WKCfyYJ45LPvKVFhCA9BFCFV1EKttI1c26uo5QKeLEGMCoFKaVzO1ocCPQqW3ds1Noy15EYzze9doBX7x/yCNH7CSBWCv6qcgKvjLQpaZY/iv61vksxhjL4g7Q85+qDPRaZvv55EFxrr1lxubCPhbnUDsDO12pQpXNx4G9KtZzN6cVzw9usISQaIjiLPvqWUx7rbqPlIKhsgCP7PyssuJyPBeff6BVH2ZMbzq/VwZcpRXImO4upYrIkgWl9ZQDvJiT54I8a00rN5uyOzuUA/BLcFdY23nMG2tzqaJUgu8nxGnCXQ/VefpwHXwfpA0uA2GcybFuYFWNX6rkXYWWcZ4UDRBrbCaQzxjUKnNUUo9R5HPV7iGvutmy+CC1LD4SAUMNXirKwC/N7UKrcUuJYj+Am5R2rUslwShbg6QMNvtpBMII7BxMUUoVJ6ismBMVsOP44s9nPjg63FEIzytZnOOptch2ZrPFiFLaL+Pt3GzwPMHSiqDblQjSAmDj/2TlFDnSo2CpsaA0z6gVSZ0C5Lk2qzom1T1ixupPBMXeO8XuxXnzbaXhody6RKkxcDtD8Qv3RKUozwF4JlECL+bQOcEHP99iFPvQ8DN5QtGaptxdgoVzIVfO3POfFRforkxxNwfQZi0t7tEMJd/3pj6339PkwBl78aVa0U+VrTJMs+QPwjJhmo3lGFtJTA50B+DSlFpcZhpdaoOR9hwZKSzAtRMr5Uyuc4MA59xmz/Va+Y8cJ66rUsXRKjJdA+n5/MNUC+bbhlGSlfV+7BP/ekMUR//lS/ef2tvuyPIDjH3AqrORNQHnjxU7z/mZk4BRFbnh7mGZjwPOHrPxwAVwx+75yATX4y4evVJ3WwelCm53r56ymCrb/cGLi2YG34tIZcQHPtPgT+6YgjAEVUMpj4Yy1JXJxlFQNDj7TmtcmUl1E1GScjIslQC1jCVK2zG/aIUka/wteyGVNAij2bYx4syC5NGnAxJhJw9ooRDCltKuFfdUzQNRaBLhvnZqPPIZJuXFQOn8wJiGz+Z/5++tdXf/m7EcQGUSMaLSVOOOX3arWgsXCHtRNWqaZn2J9Tsu37jp0pu/5L33w92po8f1m+97csQlGwSthrQlmLmOHHdTnDcq0kSsZnHXScmflwkA1z0Zq0FxWbtSB24q2lsWYCgliXK0typ2enA2olJmTJLklYI5e8f4XszBs5IPfbmBnb9i2bvo3M//vqAyXlg639sNNIX7ogDQGDi0e6LLuYImm+CbZjMgdapIVabFU4/vel2fT9zVYN9pH2SEEZJh6uOR1YvkxzrNKa602Yr66/yVsa8N1qvOP5vMQCQNyKx0Otfd0ti/YbJtI6XOAtTK6lwly4oscZ5XcfP8jG6fV2tbclxMNg171w1orV9+s/CPTnmL52HUEaxrKsLA3TMx60hhrT/g2DSVDzCWkaowiNPC5coSd5WQ1ecuwG0XSf5FnOc5kPNqt1yDO+C2E1l19mjtQKU0Kve7VYKSCSqTJ6lK+My9TfYdKrW3FNJ630UHDWueQMH46+oxdJkwW5wrDcgVT9xpzfK0sLUpskzhR7HHFZeOeOvLexz5UEiUKhAeqfAYCIGXb61OHujmjoqo8HERAmeUaIxAGWthgpUmxphMi2d3YcoUvwAts56BXKY4waULdhfQZYZzNcjzY7Za9laNDLJ/x2QyZxgJFpYnmFxXpxX4eDs3+DSkT/uCn9WhlHJjTS2UA3cN9q78rvOl8gvCPenjiYBKoFIBeMna+euctXOw58xdAF25TF7qbpUHkfkWJ1LjyXJovlIpvh9z9Jzidz4+wVD65BO0yq75bAVxa6BdPbnqYK19q86hzNwMA7qSsnc1uKjUp6TaI0l9wjThx9/e42N3NThy1gMVg/aIhc9ACFRaOhrSDTbHQJ578wbw8gsue08ae8xzNpcm98R1hc21sBeUlsI2ybgr8xi5CWHlRtUydJ6vAerVOMziZqx0TlOIE8nSSoBs1pka1PFmpxUm9Vg37WdBzFg94io5Iir/eLlMiOoHHEvkjGv7VeAeA7YYY+08kVIFty4liqwyuFfxtzMwV/xu5y4ti/teRCfSvPdTE5y5GILyMmtQZvLEVHzv4rl7oiosVd0+cE2g42rSvPHA7dHMU/iyuBfNEFKRJh5b5kb88Ld3+ZUPBrRjGxAYIxlpZW3DNP8cBlJBqbBLkJf/b3+isqvQGDLmtqyes7kxNntYMHhW7mFsTGvVWMHga612ogrsHNCVmMHB3xi4xwPQvLMn1YJuD5pLmhiN16wZRg3DRFMyjBRxks0RzAIJ94+4y4Jw/vW1PpwL8LxVqVi2WAPc0pUoLmuXU1qldNqmhAtoh8k9nTG6LqSJlSN6lVRRKikePRXjhTEfvT3kPX85wUj7Vp4IVciToql4zBKr6O4iFnFhvTbE3flIpVXogj5P2Ru7wZd2SmkzVyXRHjUv4Uff0ePgiYD3f8ZqcVCkQjLUNuCUKQWDlwVY+ckqU/euXWnBXUoWYzI2F2WhmCUdY+3DSuLHypj8b+WA1jnJMa7HRRU/az2OEWv+s3wlTA0kiaHbT+kPEsJ6ilc6ABYo2mR/LKuTWBPg7vLhfkDnyquc+MxyHK9NGC/MKSvSSt1dBpnZFt3uloHKdR20I1VyEDtMLsvqwOpjkvneMUvL8LEvN1ge5eC2APel1d6eqMqTymfN7bLxVW8M367WzkGeuwGVqr7xrRf1WJ24lKhsymqSekwGKW9/fZ9P3NtgsatAxqAVMVaPF90+wrUL3Q+4NpPbPFCZFMrrU/Jg02QsXgA61+GGNVbqrFTW2NVES3eAvlkTSxWl8EIAJ9/n3pCmhiSFJDV4vSH0BjAY2SvAvbLcf62yXFAFc/6+W3k4HlCsGZCJFwC2qEqTCnvL1ZKkfM8Fd1ph7ZK5c9Yu2dtvJNz+1RoPPV1HO9rbNjXk8qRab1K0Zjns7X531wpfm8Qz9ixsr1KijDdDGDfoNBJlSl88SX08nXDL1RHf9tI+f/zZAFQEQmKEYKQ9lBDk7SwliMrKvIomd3zwvPHc5Do8r52RTqGYtOUd7vnLeyWN05Ko81ggZ2uT/2ysjHYtxhZV3I0fxvwtKQW1UGXbrSu8UxdSlpdSllZSGg27HJfdIGtFr6uXjxfUUQ6oi4sgBzSOLJElYMZboVxgly5K9loZvGzEmJSZY5LtBleCOy0dE6nL3dikdU9CP+bISckHb29xvhvYmmFpB70rQbljw1i8sEp3u67RGuw9fqskehxmX7XVYr7vUaXr3u6fYx/t9icbminf/2097n065MgFCSIGFBrJUEhnEylwy2hF5SosZVLx/0U2MzsPLpsL+zwHcy5b8pXZ/iyf/Z7LlDK76ib/yI9hpbLQtZ7L4LDipFAef98TzExKtqxXzM5KvMFQ0xumDEYptVoWVzlX3fiJWuvqGmftAsirGHxsuI+rufPfKeqrHeZWOeDHQF7MyB5/nhbaO2dxTzq6W6Z4mS0YBDGjVPN7fzHBPY/VbW+b9Kz2ltJ27Yhy/krxWfOVxf1+azC5e/hcrK/OYJauRbnHu1s+65bR2nYznTsqqSaRHirxeNUNET/yrg6/8HsBo0Ra/aklSeaqSC2cz5YVMI1Nf1XSZXKy18KJDbLuegNGmizAFMUFYDK2ts6K0/RgxrFQzWzmIB5viihcOxeH2Qd0R0bnhXf1EJp1u1O1V7YluSMYqidt1T/s6qLnY24cQMPzuCeuNFmDvZ395+Va8kSaotvbbputHYnijP3N9XY247oILmWCHyR85RGfT9zTYBT5UPcK7V2wt1w91GdVSawjS1xAu8mvcfp2C5vKTnEX3GBUXmVYrRVPtURqK1VyoCeJR72R8PZXDbjzngFffERZ2xAJQhILjwGOlKQMAAu2lk4pr7PKGJy6lIyZjbTD6q0ONtn75RgHI8pzbkRZ2Siz5dudZlZgaBXgneMpnOhg7P3897QU6NRWFSYpeLVQ0qgpmnWPemBHDK9prjvnZq0otwpyU2VvJ2rOC25cxl4VVGZVaKoC9CzIzOfiCUd7F5NQS2B7agzoqgS3l4E78GNWeobb721w4FzNShNhS2JFrr0FzgQpswrchWQpjoML6BfQJzm4jWXN3JJbK4U9nvgZrxeXUiF1itQe8chjz8aYb3tFj4f2BbSjLP2qrR6PUOT7QEgyb7xSRlt+doNN7hQXpLRui8pa2ko2z6VKlvARWQ15AXSnbFcU+aMyMSZdPDnTAByi5PmIAlfmZLtsp9AfCuojgTczoZCpoj0tCEOcaL76z6wCe4XFzaqrrypN7OEqbDVyeWLWCDKrMzdKcOc+eBlcymIwew5yMwbubGcC5zEHt+8laFL+6LN13vPxFkZ4Vp9V2JtSe1eswdVAr0q4aqb3+di7UsnHuP4uh5yOt7LlWzdqrdGpREvriyupiVMfqTQ/+rY+h8/6vOcTHnFSglwjGAmJ0vkgiQzcbmtbAepMZ2AXgQISIkvp52xOltkU9t802epsCqCbDMQiY3NTrHxAoeEpLMWxY5n9zWKhcbBXfKYsOCcCnSYstlNUYPA2z8VMhBF6EDOKJaNYECfZ8ljsben+QVNZNsa9S/dqdK/a0hY0jlwx1cdCCpiC2cuZePb9ccdE5uBWY/JkbM96le09YzV4jB/EHD4v+cRdTXo9H+pqNXsXNd9OTCDKBE9Fjo09z0H+9TjclBrAkQO5FhcV98RkTQcF0GUOdImWVotL6RHHKa1mwtte3efzX6tz+FyWVLBhPakQDCzn2c+oM9SYEuymAHXmlpAlf4oFJ3dS8tS9ZW8741048qQEuhC5bCkTT0VCKPu70gW349ePY84lC7stOiSJJkoMK52IufMRsYnwtm4a0W/2MYM2i+1pFlZ8S/PkxTerr5qqdTPmpKwB6nKcVwn8kgHNmDVoinFgymHxfKKpUnbwYzmY3dHfju6WjiyRMnNMMib3vIRRrLnzwSZffrxuh4NL3wJ8jL3zIi8lRDUYJv/81fRzjnDx9ZBdPUdVoLvVc9racOUO0nYrEqu7dSlTtCQVEpVKtFDEI4/XXxfx+lsGnPqcz0jLzNaQdntHPIYCZF7CmmuGzAYxWf2pKmCVOypZrbigAD5ClGRvKIAsZRXoiEwMjdeFV8AuVpGpcD5CDvzirSxuSTXEiWG5ozm1qNnSVwRDH2/9jvUrTz+29Pmnj6d/f9NUijZBRR9Vxffq4LKiuXMWL67CrNzTZXSHDYWju0vQO4xdADsHelk26jonUq7W29YmTJ3nCVLaTh0ZJNz9SMCv/uEkqfFK50QqhJB2HyBRpuWrDO46Pmuz9zeQxCyRnZ8kxmWKqcgVy1LZyqoFWpSOSqHJpfXGhfZIEk0QpPzMD3Q4cNrj7oclOhAZZO0XiLViQCECsqsrY3IlyiLr7IuUXni22uafN1ttcx0usgtAU46SMNn5N4DIA1EHE2TMX034lO+77L1qcGeuooQ9Lje9JOWSXd7nW1NbVtT9z23qfeauzpELi/UfESiU9OyHKABIpVvDTcIUrofzc5WD2r0LU1g4lWBRlZq6rAx0LUAnkeMElEVBlXRS73JMmlRswjyhY3stTy8JfvWDk9z7eNPOypC2HQ3p40lBXUIoyTa5Mqtrtyv3rAHacaPcYUR5zXulNr5yPN1CMuFc9NWSADcIz+Vb2RLmSD33ZwbWzSaEnuGhpwJWBo49loWZ+RTxsuIwA5Rxgf+NXK3OhZDjzlmRynKE8ZWr3CjLjUuKmnQn01uoify/y6sNsMfH9ySb5yRvusXnpbvPf/+G4OkD3jU7G9nVmdAfJtSC7JyP6WSXtVdp8XE2d3z0chBjydLlSXD1t7stRlWayHHNnbO4C2y52ha0gWVWCps9T4OUD35qkk9+tYmpKRDKolN4CCkr/ZZlf+MLdMwXkiXXJmue81UeuBl77QKiPIFVZ8Xt8NHZ/ECTMbcxuqxRERKpFanwkIOUt79mwHNHfX7tfR5RmDh2l8Bon1HmQAidLd2pk6nMNHj+PezuZhTsXuzhlMuWTKIakQeUpXMi8jrzcWni+uMZoCx+xvT3mDQmAzbZ3wp8STOUnDxb5+Kih9YGb27GQwhrrZg0zRii6k1Xp4Q61/Ia8qRi5DMG8LWALUrNvRawC0CLDOBje8aU99QBugvuFFnUnKR88eGQP/xck2GaTcEXuTWYZS2FqWjvNVPzLtAr33lMrlTAvjb7mSy4y73nVRlNzKoSWiOdzKZ0nBWhbGGWzIqzpCbVHqGv+YG39Lj/yYAvPi4znVueaG08Rtq2o5GDvGIdiqJWtpBSQqDINilzQZ43PeSuigtww5gmz+298eNXOiYu4KuxX/Y72g77lNk0iN5Ac3HZEAS2+Murh9lFm4JO7SQo5WQPcw1dZCpZ46rK3x8/4UVwuTawKwB37UEX3KLc2Uut0uFrsLjL3jItA0wvpj+CX/qDSY6eCTFeuVtyRXvnEqkC7DFAswaYCwiLKp5fQJCPbx5QzWi6xVeuHl9dm6JlVnEoXRZXiFQjhIeMNJdsifn3P9jm/p8K6Q6zL6Nl8blSPIYm+4zSqYHNLzxpwaSyVH7usKgsoDS2ib1wVERWfKUzDV4mfBzAO1KqnESwBlOP7Q7hdvoYmf33CMgqYdUgIUntDhbe9i1TSKXo9XosLQ6KUWdlQ8IYQxd/aK1gwLmy1gBzRaaIKqDFmhJFOz6405cojAPq3ClxfO98d97M8/a8mCSF3/poi8f316znLXPmLp0TX1RliVr12R2wjzG3fcNppn4evl7F5GPOSdkAQVnMlLHTqmpDYRm8CDq1tCBPJVpk9zSTKlpz/d6Yn/jONv/3X0wRpRmLQxEVpihGOtfiWVGJA/JCoginUkVkSR/tsLkEoXM/3DK/yGRXhdEp1QJmXCWsAfjiZyX28oSSlWiCRGgmJ+vUGi3SNMW78ZY3U6s3OHbkOR554POEgWfre5+PsddYKlwmz8E/fnGsdlCqgC4BPy5RqvszluydlrrcTepU7llgWUv50oMh7/9oi/bAtx5g5nmTNela56TMWroFQ6ryuVfr7+JCr4RlogzaxgE9xtqr8F4BurPxV4W1s6mwuSRxk0DC2oipVEijbb1KopioaX7oHX0efTbkzgcUNBKKwhEAKUi0ZEgeU5QgN9jSWArb0nreuXoxQhSZTqNLEOfyJQ+GXRdFiEzO5AtHfjwzq7GUKA5r5+GAKI+YFPaCSiWgE2655Uaue8k1dHtdvMBX+J5PLRC06im1UI4tpm6mZ2yhrSzZxjnZz8fYFNs9l0mf8udqDNh5Yiff8KgEe1r1u6W1AmWxr7oNLKVMkF7C/uMev/ORCQ4vBrYNXjjaO6sY9LNZJ4WzMS5NxuVJRZqI1avc2hReytqxWpSSxcvESuE8sFYaf2xIUF6IZXSxqazIpYowVqrEht0zCT/+zi7Hz3scOiMwniuwBEifNAM5YyDPEaYKhBkH4NlnLVayDPyiTIjm0kU6sqSQKsZh9QpZlgfohXIL+TFPErt7he/7KOXjNRsJQZgwOzVi07o+UdKybVLjlo6pnjMzdsJz5l6dwVy9xYW7zcXzbSpqpUm56WgpQ7RN9KxK5pRAVypFSvu9zrcFv/S+CT7xlQbGV2U6/gXYWzkX4GrnpKoRx5M6LqOX62oV8BXWHgN7/t7qmhRXh+eAdgPQvPPHMrgU+fMs+BSaJNX40roq7ZHkp39dcWFFQOjSrcDgFUzugtzKkOyCk9aPt0Fl1uWTAz1LipksfnN1ucgYW+bFVo7+FuU1tCoPsxa2XffJYLdfWWhrFjqGQWTojQxeo57i1+X5ZiO5Y3Z24o2LSyO08Ujz1HCxpIrqWRiXJ5RXbs7oldpvYSoyZVyDF07K+E66uWMirBSRUqNygDuZSpm5Jva5rTWJ0HzmviZferiR1ZqoAthV9i53DXbnDbpuyaqyWEeL4/xs/EwU4B/XIs57VefESdWTaVu30SBjbpm5KcWmqEIgRJb4yZwVKSXaqOw9iTC24jD0DG946ZC3vqzPn3xeESXCpm3zDy/B4JMYwVCXIDdCUHQXUzKeydCZS40c5JUkEBRDgYzIZAwZo2fsKYQowV2V/hU2Hwe27cU0RLFmYmqWQSLv0Kp2fpQOkEHzWo48e/fxbpf/GTa24Kuo2IgpH5jjWnJugVNRO+LYedVOG51tVKqd39HV38lZuQgaqxWCXv53nXJY6YDb7YhXGbiVSkiE5lN31fm1909wesGHQFnmLgJLicjAXWQtx0sG3PihMvvEUdouo+f/P8Y6ri4fB/pauC+2sXaSI64kKVg9n4ClpdMYITG6rFGxJGW78HVqW9zikWLbrOanf7DNt7+mhy8SSBMwCejsbhKM1iQGhhpGWhBriLUgMZBoQWLsPMBUkw0KhSRrkk7ze7F7XDbz0t2T0zD2vinuafG63LA2/2/sf29ItSFJDVFiiFPoDVMu3bEJz8T/8/bbv3z81S/dk+2TaaLsSonxPI1B2yHiIouniyulzFIJ9Kpgczz9WkqVXH5U3ZNKYCn0WJo+e610RaKUAabD3FlAmVuCvp9ybEHy/o81OXA4hJYq3JIisSNlIU2KPkvGatPHmdu554mwPBwrkhPjzF15XbooayV7LGvrsYRP6aJI9zw46XspLMilMIU3Lgpml+TpbS0UwlhvPB4Z9l6S8ANv6/Lw0wHH550rWOd63MqQRAqG+cWWB5wZYxfBpbbD93NHRRZMnrspeYmtKfo183shdzO5b9nblI9jTOCueNq5qJIURnHCYBgxHMVAtglVc/palNcgSTT99mGSNMUYVVaPOf6mMe7JG6v7LiRKNUFUSBLpgj0Dt/PcjirTYxo8f70a3OWqkqKEZW/PS1nqCn7zTya464l6WSVYALuUJoFkbAxy+X2UC+ax4Mdl6FVW4WqV8nVvbnq6UlVo3JOZS5Zs245cpggH/E6mUwpjW8O0ycBt9bgQyl5GQpP2Na+5fsQ/e3eH//wHkuVB9jlyTaHJtLciydksDzhzd6VgODfgzC4AWflaWQLI/kxmgBaSSiYzx1dxOB0nxT1e+bFJs7xAFIMRHlfu2cHrX341na79MhKg1txCa9PeO6fqR351dtoyYsX3zWfkFXXYZa1EpZx1LAOZl7JK5dZvV+WMdCTJeIZSOgGlqgSUaZGhdJ8rlTAUht/7eJP3fbRFN84KqURVd9vZfaVzUimqojzA49nLClO7waTDLZVxEd8A0se76wsg5z8b15yVhM/Y/jr5e87AIG1k0d6WD/DUWcNyknq0PPiRd3T50bd3qesEdJrJlDSTLHEmV0xFrkRaFHIl1li5skqyOK8r90y2mFJ+aPe5I2OMqb43/vs52GMNAwIePnjhV2+47oo7d+/cVAJ8enYTX/7Yv+4/+NTSsePnm8RJWSSZ1wMUQSIlC+d+uXTYuAR+2QjsjnqoaPhKa1nJ0uXvuPo8zRg9LcBfShN7x9M8d8Tnz+9s0ImzyZg4tqBUFuBk0qS4m4r2Vg6gXzB76bgorpvk2qffCNKrG5viPBdFXXihvYuLwGlKdvX3qs4f6QBeWX2uFdooy8yxouUZvucNPa64bITMtbgptbgFe1qAfGQg0hAbQZIBNcmkQmos6KtgLpk2B2ZabBsuSg1uqndjyv9uvOIyXxnymy8NV21XbJ28cOyf/+zP97dv31ICHODSq36AvS/5MVrTNxDF+YzQbImoLMnV4Gsc2HkgWdh7wjjBYVVjK8fus0xdDWaL91WaeeFOljLT37nu9vyUZ4/6/MSvTPP0oRDjy1KWFAwuHVvQFIN8xndqWMsaXEumVBI7AudVSe3fkFwZ15cuyFfZheUW3ONsnvdtFgODjCz8ceNMxtJaZePfFKnx0JHi2ktjfvunV7hq9wjitAR3cY8zsJcgH2kcJi+BrceDyqy/NHWCSzcQzYGu1wB6GWA72d61QG4SbrnuSv7ZP343P/K97yyOZwHwHdua7Nw2yY7NmsnmcJUFUJ5ox+LL2bsY72DGXBW9SrqUVYGrAV/clcPkxfPV4M4TOp6v6RrJ7368yRP7QlI1lszJ6k1A4omxZgbxfM5JaXGuqh7MD0sF7NXj9I2Q93jpqItwY1az+mpmXwPkDnvnk2l1MdOwOhnLWoh25wiRSq6/YsQ/eVuPlkxtxGZcqWJZHJNakOsM5CYHuXVWYoMFuhFjbJ49d1h5HNDjP3Nb9gzlo1njOC71YXFUxwTrSL2Z4mdeQfGeRPne4Xo9POIHzd3dviF1a25dchoLJMvOHHdn2zKwdINJl/XdgDJn64qDkjslFd87RYoUJRKUSPH8lL6G93+iyUe+1GSUg1m67G0r56RrC8q12bvC2uOM7bhG1WRO1R6sIvvryZNx9s7XTrNKh2soRhm7g4FkIVkMWls/XGZJIGEEQkuk1BmDG4QxCCNtAIrNdKapIRCGd76+z74THu//eItejD1gOqPC/BED2FxJlPdkZnMijM488bwhIvfQoRhZYfI6puwYm+x7FQVX0qx59NwiR1cWpqlmcrJFrd44EgThYeXFqxncq+3m2aceuePC8tY/XeztotOXxIld4sZPm8CsZr7xRM1abC30mN1nKhLFBXpZTzLmlAhHmngJ3Qje98km/9d7J7i4mGcoc/Z25YlACWfGydh3KB0fd6XKgk2oyhP39RhrV34mXhjcOardQqvivcpLkTH6OFs7/njO2FQli+usmIoutzq83K7QI0kVG2c1P/eDbf7x27q0woSsjtph8qRk8qxVLHKZ3GQBpxNgJo5kSTPJUnmtq5KkHI9RlSbjjfBS2OrPmq+59eo5brh04k/vvefeO15y+ZbVAAfo9Ot0R5OfXe6GT0RJvWiPyg9qVYM6AaZ07byqW1JhaMcOrMiQopBKr7oIpAP08rWt7ZY1wyfvrvPL753g/LJvh9zIcd2tcDOWBXs7NSfjnvfa3reogHfcQbFvia9H2F+XzSsn0pEqwJgWd+SJzpdwB+hOjYqbBNJOEqgiVYzEaEU8Umya1vzcD3X4+6/uwyjX4/EYyPO7RmsbdA4duZJLllKWZLvGmdJlyUHsSpPCWdHlRayr1/4qHE41A2Yn1BOb1zc/OzcTVC8C98VtL38NnfOfuXfdxMoj0xMpUjrLpBs4jYG7KJ5S1aCzCtSqvi48bukGoboCZFlJ6CSO7k5RoebwaY8/vr3JufksU7kK2DahIzLmzp0TLysYGu/UKUFebr3n6m3XGimmobqY/sZUSXGiXvDnjvddYTH3Qigey6xm1VVxA88y4KyA3ZlUmxoPbRRJJNk0l/Lub+2ze1sEUc7YjhYvQJ6C0YVVN3KznnnGM2PzJNPilUymw9SubWhMFeTlOLn8+GfyREMvkpw8P3jkdz/wuXu/5fWvf36AA+y9rM4Vl9cJa4Y4zj5QocXN84PbtQOV8zNZdVJcYJfNDG49SR5EltKk9LszcAeaI2c9/sNvT/GVR2tQc8Atx+WJ9bzzMRCeLGXIuHOyquY7f3QHF43LlLxuOZMjlQtj/PfF2i5JflVU5qSYKmuV8qMK5DIQE6uZPf8dLHuaPKVvVgea9m6litYe6UDyuhuH/OJPtLlkS2SdFTPG4DmjOyBPjJUskSmdlSSTLWnluVjlixcp+exeAXlOtBmF5z2snhIE9TrNdZtortu4iii88Tfk1LtQSkVnlj7NqHuYyZap6NFq4VQObl0JNCs/d6RLmZrPLww9JnHsXbjgFqVFKGWC8jXHL3r8x9+Z5CN3NoiE63e7zK1WB5Zi7UaG8aaGir895nGPa27XDnxB4nZ/OEbfOeAFrNKZ+eQrd+On6u7IudtisiynyAJJYXc1E1nGE9sUIbRECFMAPc90CmPQWmXmgR0SVPM07/qWPqmGn/+tSU5cFOBnH6wIPE2FJg0W2Drr8NESPENRgKWEoRwiVAag7mv3UOWd+zo/Po6r50lohPDyW7fzHd/x96IkTfmtNtyvggAALFVJREFU//x1AJ6wjaAZ/NTOnZdceero2ddgus6yUK3ldnV2WQJrSqAXCSBdOi4Z4EUlsEzL38vS8fb3ssfcDvRSTsz7/Mz/mOSjX2wQ5fsKirUCS0eaSKplsDxP1WDxHZ1KwXGwO373KnniXgn/i7dKUJnLDmPWliSZZMx/rg12AP2YbeiyeF6bInKQZ1nXAuS5hyOUBS+QJOCrlO954wBPwc/+jylOXAws6lxXRVNG4yiMsKw8ElnZtaAAMlk9S16rIrPgv0j1i3L6VfFvGkCXO0rkB0prTa3eZMuW7V/dvnXrT5EV+Lq3VRJl2+aQ5RNf6Gyc8w5MtkTqZi8Ltiuafx1w54B2RjqUjDzmc+cAdoNTUdaaFMztNBBLT3N2SfFzvzXJR+/MwV3V2ghZgBtEwd6KtWecVGxOymaH8VaptfT4Kvuq4K+Kc/gNo3s8wByvTyme2zK3ikzJ5U65xV4pUdy5hmvNOSyHepYp/SLbqRVJKvFSeOe3DPg/f6LNptl4zBN3pUtcBJ5gW+ziLACNjHVYYleiOHIkT92XAadwKgcdGUb1WMXaS2NTO/DnH72jI0T96wM8P2HDYe8ntGg9JYSsFENVxqatkbypaOyKk+KWuo51wzs6O/e9y8AytuMePHjvp1p85AsNIiWzxgWnkKp4XO15uxlLuca9ZOYSoGuNh3D977X0dbl/kfhfxXc1m7kqqVN1T9wEUGEJIsa0t/OzcVdFu5nNqrtijCTN7UOTWYmpxEsM73pTnx/69h5emmb2YTIG8ryOJdfn2hZCGVvDkoM8d1by2pVElyAvNTsV10U75bW5yyKlZG6m+VSn0/2JcWn3ggC/5Io3Mxym6YaNu4zniZKh8234xgftqOdn5LyOpKqznZ/nskRUwV3UmSgNnuCOe+t86I4GI/k8bkl+Rxb6rNxX5/nZO7cFK/vtiDGQ5xe+y+JUAZ3/wqoy2W8E3M4vjhP3qkYIJ5NZ1I1Xfq+cK+lahCXIZbVWxU3j69UMbnK/XEtCbfjuN/b5lpcNEKnjjY9nOou7LoLP1JRMnmSsnteupE4w6taOp2nmoZsxFyZf6YRk757dBh2n3/vON615fL3nO/CXXvFy4mj4obNnjlyu07NNJU25t7vjaQup1wg8s6wl1d+zv+NkKR1wl5rcaVzwNMKDT99T56f+xxTPHQ2zhuGcqdcCeTYERlTHHhd+N2VgWR0HYSqAXpXQKYLP0h6sZNTWAPXXBfdYGnN1fYUo3qxsUjWWzTQ6/1W3QdlUHnMdXkobicgCU51V1Whh30Pbi19rrDbOHkUK1+yO+e//ss2/VXD7PQ2rx/O66iLTudaFLO28S22H4nvONzVkI5lFOWZCZTpc5in7bBCRAJQG6cMlOzb0XvuaWz/UqNee9xjL5/vB1MxWc+LYvt/cuPmyhcBLqIUxgZ8QeCm+527ilAN+7J4nbDK2Vo7GLnR2xRJ0GxcSlPp/2vvyKEmqMt/fvTeWzKzK2veu7upqeqWbnWZfFMQFYdQBxDmDvPN01HEbF2RcZs7I471RxFHBp6LOUcZhPDOKKLK5gI7sm8giS9P03nT1Vl1bVuUSy73vj7g34t7IyOrqprAB3z0nKyMjbkRGRfziy+/7fVsE7lvuzeMz32jBc1skuBt6KiMRTGk6vxJxIkPivWwMYIMl0dSTtD6eBeA0Hz4r1y1mWS9SH7V1MWWYeiAS3lyLG69z9KRiVvQALD0rXwu15VyqLKGkET2CVUM+vvSRKZx3ellmG2RQiEZEYhKNGHIViRhJcyXRYw+oDLNV2UNeKF8BQS0gqPpAxSOoeAJrVi/f98c/Pvf14aEFDS91QwkOAEuXLkPgT2APDYFwJmImkNCGekEW6CwKVBIDNyQ6M+jBhCUhapkofZwDFnDLfXl87psteGaTDu5GLwoiwW2qJprurZJWDDVldrAbmE1J7ozgQW2HuevhddSgxpDEn6EYhEiqi3ieLs1FwqiQLGmuJHdUQ4Qo6lCul0la6vSl5GYgHOCUJWWWvRBrhn184cNTEAK4PZbk8kmMTiJ5cSHvEQBQCEQA5iRq26mqZHF5iCicJfolVtc+USMJgppAl9OMxcNL0dPZMuu1nRXgTmFhzfH2/O3gYPHGydFdTb7vQqVZ1DOWSMCtceKEJKA21ZOECiQk4bwJjXTuOx7I4bP/twXPbnYbeCnTKgriWBPlqVQSPJPrBupUEsOATIE9Bnn8riU+aE+A+XH/EFclubNinOtiVBTQoasfuo6eMCqJlFdBV5A0ofwMXW2JJDahiDl0zmmcYEyoLCkrWFJDpQYcMezjSx+dAhfALx7Ia1Th/kYE8gAxIwkLRH6dqlSVXA+FMyofwJkax4qVXTM1Lv522fBA7aABbmGE06blj3J+4ZS369om26pJJw0M4wVImmBA6eFIeO163VtKbqV7y0AqwjgEI/jlQzlcfm0LntvsRGVeMyW3UlEiHYRJya2noCV5lrpL3pTe9QWKdJovHX9S3zTJAHxaGVcbU+tSWoi2QUpnYUr1OmNTmBx5/DDEurjSs4Wmd4v4nhFAy9uUv8pUFqmXEYeIHUIRY6FgFhLt3GsCqxf7+PLfTUEIgjsfzCHEXEEeXRguCHzp+FHRhwQqtgYIkHg1CSKvdGuTg09ces7UsYcPPbpl5z4+27fMeiqCDYGw7lHfx4XFzuP8vDuFpnwFhVwVrlODbQWxV5LANDKV6mFk4Wj8NiEJJ66MTMEIfvt7F5/8ague2+oAbipZmGRJ8cShY8FUTRSAkwwdjfOeRZJn6+KN+G1Sz4vP5f6mr/WswEemEWo4dpB25evbUty4SOnnMhNIpPTw0AjGkgFZklEJVdKER3D4kI+vfWISr1tbBeOhDOYOG7z0GJboHwuVDo6EQvSFCt4SCIIAoVdD4NdQnSnjrWes8XkoLuzvaR9dMdw/63WdFeC2YyGsPoeW9uEdTW0rN8GyUPUnMVEpw2IVWFaAKKVNVR3SPJcaS2KyI6mXktwWwZ2PuPjol1uxfqsT8XxkNrUkAbeNesOSZQA9O95bNAC6Jr0VcDWQpx+G2azPOVOFaUzHhqPJhyt6EFqMhpH5Ah28ifHJDdUlVQpONywldajHrQiuc+UqbiV6Fz7B8kU+vvGpSZx9QhUsDGVCZSNw6yG3iVMoEECIJHpQABBBCFdMY2HzGDrpHgz1+jj9hMWb1qwc2vHI05th27MqIbOrKNFNZfjZr27f2lToeJ9fOemeX997Lx5d147L3zWFM48UgLwAeta8MjCTOG/d7R6pJsrLSW0OToHfPOLi419pxfrtDoRDM0BNkXbmqKAblUCsZ+joVGBaeteHwqboPqVzZ9GAs0prAdXaKdHbG8Nb6AsZjh59TiK9iTTHpD4uWw2qObHhCWHo4lwIUCQsCtEpRlkoiFAYklwVEopUMxlxJqlAFYZCuDybGsfyhT6u+eQk/u4rwG8fjsKtYcsTI0JmVWU9zomaCyl4bKmnBAjxhmMm8Zl3jePuJwUGFh2NUw4ff9/Yrp9utQrn7A+++wc4y61ApVJCLte887/vb7r3j5v3nf7UOuD2B5qwYkEFBZdBiKhtNhDKH8rETW+CXBqVKnnBBbaNMjz4pIMrvtOC9VsdCKcRqNNueV3vVsYlYuMydrvTDOmNjLDYRlQhkglGLmYG0GPpLvZ3VbPBHns05YGE9OIYhqjBjKj1EtRE6tqqv6YCNI/iTiJpr3RxEf9PiTSXB1EGJ5cVJKTxGZHUzIxBkYClBCA+x8ohH1//5CQ+/12Oh5/IYduoBTgau0JZgytA4v48NgVcKpCnQK6Z4M1rczh8YSdsO4+2wbX3Ll/xpp2V6gwK+eb9Xle23xkA/vmfv4gjTzx3jLL2kgPyTlbbjmWDRXS2uGCMxOUh6ss7JHq2zpRQysFcYP2IhS98twXX/lcztu22o9qBaXaE6galMjijG2MTzbDUA6qoVFfiFiEmVag/AHrBf71VC6MkXk5iVFSTUwnwuOWI2iaj9ySdReN10Jb1/jSaaqT1MqorG5f1juR8CEFdSG/6gY4LYqqnEYl9gfSxVGgjkFTTNbCY0EpxvxzlAONAV3uIM4/z0NcXYt0GC2PjUhrB/P40wEEoGAVyVKBgCbTlOBa0UnQ2F1GaKWBw6DQMDy35VHly833F9qVzEhz7leBqnH7cIrS2tDza4pRvbrYm3h6Ut2O67KJYCOHavnyKTYOSUQ4i3e8JwDlYTmDDiIUrr2vBTXcVUA1ZhNQs76TqRBBL7uhH35IvpmJNoCIc06GwZoaOcvoYbcWhA0FHgH5P60shJ1K7gRpC6hYaD5FMS/8AiBS7IlJzhSHlE5WEqPlEOn6INp+QhHmhsgal4sZpJL6JLKwPqZ7I1QCibREFKc04jcugPkdve4hLzi3DdQT+1zdbsHEEgItkrs6TyxBayA7OQiaFF2ygJScwNg5UF68EKxxxc2itedTzpuYK27kROgDQ09uP0fHJrcevPeFjCwfab+1sz8G2wjjz3ZJtQlSjVaa6mpEk+z1KVhDYuMPGFQrcYJIK3B9bEsFJMSZxH8uYKUl0bKYBuy6RQZNI2e9JkXaF3czYb2J+jg3POV96ZKujMag1L6YCsjx6PeOisSMx4OtZkyTrR6d5zbkGoyJQlwEkjNorKreTxvEqqhxFUI1iVy48u4LPf2gKSxb4MmmCI10DMUqHi6IRQ85RlYWFQg5UPY4QNgRrvnXV6uM+NjMztrWnt3v+AQ4ACwYGsHXDY9uOOeaopxcv6kRTroKmfA05twbXqcFxarCtGizLh6XX6JbeSeoCW/ZY+Px1RfzkTgluS9e32X5AnhggNk30bl29YGm9GqJOSqeZEx3I5s82UseKJHkW120yKQcE81SAFTFXQNPNFeCFSkI2HwQzrS0ViIWMUFqYbn8jrBaqJHMSoJXsSw3GxQS5DNISDGFAkRMC73xDBVd8aApDPb7M8UyF2PIA4DUgrAJhFdUgxIQPTNUoJqY5iq3dWLPmqKfve+CRbX19/XO8qtGYs4qiRnd3DwrFhV/i1XVLUNlwcUtuFwr5KpjtgdAAoBxMCLA4gD7S5zxB8YenbFz3kybceFcBHqFasoJSR0iGQamBWzMojRhvasaY6G75tL6bJZkzQU0ysJqS4PrxDLwfGL414EYvlbWi/MXxOqWGGIAmyguSPBxRMEqihiA+TOxFj41NQBqW0TVTWe0RVcJBEXVwi+Yqi1NXV7RrpDqigMgEhahorWNxXPyGCsCBb/2kCY+vc1CL1RQOIIQFAiY8ec9r8H0Xuzwb7R0dGBgc+tHa44/80gsbXzzg63oQtwLYsfEW2O5QYe+Oa3510117T5sq+2CMQ4iIQTnpCA9nr62h4EbgKocEN9xWwD99uxkT0xZ8Qc1khUYAT4FbMSaKErRI1MsyihjUC9cnnwkxM+iNzmkawxIZk1EUm2pbEu+rG5zSiDSX1XbVB1OqOZTIOSQ5DiXSiIVpxOrGb1z+TrMr9FqQ6v+gic1RVytSS0JhcUkPrapBPK++OBORVcaonhgepxpybT/dYRc59QgN5YOfJI0TEnXA8wnB5DTDP15XxA9vL2AmiK5Tkytw1gk1nHSEB5W9A0JRquXx2OZl933iry5509adO8sfuPTcA8bqAUtwAFhw2F/g4ccfLofs/d7P7v45nt6yDwCH4DWI0EOx2cP5p5dx2aXTGB4MccMtefzjt4uYKMkUM9ZABQE9IHAbkhu6O15GO2iMQzq2u85Zo0nsWOXOkN5xoJU2sSEpMIdrGasfInUgbZ1SJaBiUIjW4kQZkUiow7gNiqa2EE2aG1KcEEO1iRIJiMyBlEFYQopqTqXkViK8XpIr+pXKYxFEc8IQsChHd0uIL354CowJ/McteQwPhrjsf0zj/FOraG4CeOCABzbCgMDjbSg57/CAcvnN5xw4uA8a4AAwNLganPNHLjh/98njN96b3zPtoxK4EMEMJmaAG34OLO4LMNTPceV3mjExJfXtRhGBBltSr5bonkqVoZOOL1Fgy+Kzle6tAGrq5Nq+0ICu74uESUnhPX4YsrqrEf2J0vErgVmH6RSws/ZJVBkSZzom+5AEuEi8m0SoBq1IGZry0svYlpgX5wCnFJRzcKmuRN9DQEGzQS7zJymifSgihyagzQk4Olo4rvjANKo+sHggxKXnlxFWKGozeVT9PCrVPKpeEcWeN1cWLVzzCCEHZCoa46D37OtuRrGJ/cN7LjrtmjOPGqy2WQGaHBuAAwiCE4728IZTPOwco6hUlShtZDyyhuBWMSYUSa6rkYmTWdvELHlssCIa6HXcEQPJOvBS9AgxV9cd6CBHI0LFqAmigK2tjx0/DeaaxyDSvU9SRqOW6WOsVw9Mfd2VpOptwq4kdVaY4dYPlUtfsOhYIZDPCfR3cNz1gIuHn3BACUEobJSrBZSmHYRsVbW1743XhML5B2K17O/yzT/AAaDY3MR/etv9Vywb7rn6hMP7vSKL8opOPmIGX/7oJM44qop3nFlBZ5dMu449EhlRgdQywE0koFUAlSWBrJw2ejKDNImyIwNjfGZ0KU4ZlNmsiXzXEFhnRGZ+njvgdZbEwKZIT9KXiVzU8jQ1IzNdnNMooJP14vpcpcro6W7UZFM4hRnPooFcpw11kMsYFyIERkcpbr47j3v/UMDl32jDg8/YcCyOStWBR5Z6zF1w9a6t91xhO4VZowX3Nw5aRVGDEc87dkXPVXvGp70dkzuvfPdbdtILTi3j6GUEYcXC8oEAq4cDbNvtguvgppp3EkwDP2IuW1dNrBS49daEWWlnaQ48i/WoY1VS4DakdoYgT8eJxx/S+vT+0E0y9kvp1gZBQlRcuDmPCKHtw+N5RM0TxGiprRo1mAnMUcwK5/HtiBuRUU4j1oWISGWRRT0BycZoOnrETEmJLQ1rwgFCOELB8fRmC+t3uEDewX3PFPCRa4s476QS/uIUwls7eq8sB4u/Sv093kvF50uS4ADwwfdehKd2zlT6hoZvfudbjhBnH+lg2UArpstFVGs5gFD85etrKNgKyFaUUGeUNzaDp8wYE2G61jXAmgAWsT+IaoCk6oakwZ5WYTQgK6AaGnVaQU+N+vjwAwD5HIYh1VPSHtBBqqsWmtMHpgRHWoJDFexMJDMMlUVG+aUy9LOdP3oNRFmHPLSkFGcoexQ//W0OnFuAnQPJteCPW3rw60e7gMIJYtnyvpsX92+prDnuwgO6RlnjJUtwAFh7+CKUedsL7XbxQ47vXrdj7920tVgCJRy86uH2+11UOAOYDVBHAjzxTiogRHmTGtcdV85KpZ5p22JpnnoAGjZwhYnjtE5dJ+Xj9aROj9d3BxqA/ACGSL3qNiKR3HH6GtErXqWMSGlVCm2Orq+rAC7FrFB57Cibh0uDUUp2SINTikQqe2TG/YKkhcllygIFRxhKwSMoBOFQ/4FjBzj3VA//+TsGj+SQt20MtApceM7reUvrYR9CofMF5pXmA5ovXYIDwNmnHIs1C4i3/ISTvtfRwi5jTg+qVSpb1xFsHHEQwgVYDmAOCLVAKIVewJKlwQ2Tz84Ct1G8R/tndBAbOjk0A9NYR+oAn9bDFeTqBDjJAPb+dPT9jZS+LdLrU8ajro8bX6pLa9R7N3VPaFyaGYmH0ygQFNdU0Yp58tQ2LSQglBI8DBmCkMEPLfiBAz90AGHjsIEQlBEwZiGHAEsGO1DzncuWrzr9e5s3Ol5T+0nzAc35keAAMDw8jPL0SNi6/G0bx3b1lyZHflaE2Ipnt9qYquQAqwBmubApgYoKjisxIYkdURGBcU4lRMKgKIYEOljTdb0bqCIaoBUk0lqHAegUKLMpwGzkivg7SPxd+s7pYKm6nbVt6mMs2Q1PZ3I8Q3IbVGHSHz6R/iTRwaEktOKuI31ZILpBgiBqExj/gkQj2pdI9YSb50NglpKT6wMIhJyBEoHmXBWrF3t4cgPH8MJWvPuCM0pvPuu4jZu37w6XLF02X7CcP4ADiFoRetO3tvee+GGb1a5xaz/s+Nl9AXbvKyLnuCg6gCPpCF8WTg84ifL4oJV4QGNXu0kJZrfaTqIHhaFj6xI8keTEpAV1Cd7g/yR1yyRj3YENHfTJSjQ0WiPnTfKenmMWC0r48sixI6Bo7CSgS6shKKKagknIN0nUFfVwCaHFm0fGZvJgQz5MUicPWRQlCIAFIYQg6G0P8bYTpzA6ugTvfdfZY+eedezHxyZKt7a1FecTkvMLcDfXBgDg/vgNnQvOskZ3TH9px9R/dzPHRm9eoGBHUsLnQMUnECFBKG+OujcxaJHEm7AUmPV+Ojp4jYwd1LMkWcjTaWwzjorE2w3bk5C6/eI9hL7h4EYWM6jHpChUxzWB9HckoE5Ar6S5egylRFfqitofsv1IXPk1KVvBuYS6eiOREygS8dG9UR7W5FmTRion8AIGz7cRhFGKoec58APgyBUFXDZ02t6Lzzv901XPu2HpksH5hCOAeQa4GtRux7ObJq+32Hm0pSX44lDLI91FN4RrRxe17EnJHUZSnCNx4gAaWJVETxmUlIqkrQhMCZ8wLKIenECdJE+vR8Z26A+JNuqgfJBiPJbC6rNUMXQJbRiFRD1Mkh6U0pKoSUSrSqudinoA4j0IEmlNJKRT0luxUAbIIW1Qmj4h/fpJrZ9QBCHDTMVFuWpBCALbCtBcsHH68cfubR865bPAxPWE9OLlGHPK6DmY8c1rr8KyNSc/3tni7G2yqmcIfyrf2kxRLFBwAWwfA8YrQEBEFKUGaDEmkVc/7qdD9GCkRO3IYk10fpxkbtP3I/XqTbxMTHWGapk51FyXzCWpdWouMeeQ7DDdLBWqkR2hn5+iV83wAp31Ue3GtfXxr5WpZJnskLaOINZPdPUPNCmloWrAx9ldLEQhFwCC4cXdLdg1lkepbKFcYbALi8eaikOXl8a3Xt/atfblguHLB3AA+MUt/4kL3vG2p3o6i9vbW503Uj7jdrU7GF7AsWbZKKbK09i1L4pPEaq9NkkoQktnUGSknA7QRuBOu+hJan6yTqWgadtosp7o60EagFoHvYweJFmgrgf4nMCsAR/qf6IamKG968tSohqsERJ7gyQLSZjCbCCHtk6rzKM+650/GA1hswB5t4p12wP8+O5mbNregtK0hclpoK1zUamtY/DDMxX6w9XHXdgoSmFexsuiouijo83hlBV/1NluBwPdzg+mxrfmli0KccSKGaxeWsLnriN4ccKCcBU/ooW2ajw4S+nccXYOUuDWb3TqhdSyQfHpy0gt60BJdjVuvP4hHUQ1p5HWJRJl1jTeRIZhmdbBiSrEJOoPpwxPuUKpK/r5KyZFr2vPoUFdJRurxgYiSl+D/E5KBFw3wL6Sj6//uBV3PdaKI4c4hroqWLliuOoU+v6Gk5abxkq1l+SGn8uYFx58tnHBX16A1oIfDvT33TTQ33PJssMGqt1tJXS0eugohnBZVABG16f1F9PAzbR1ukFpgFuTbOqeZYHR6FKcGvW89gHCVRwwvE1w1y8mfLW2UTdCdT5c7asYFHNuNC9OhdO9nXrsSrpbW7owZ5zGZs5FLKQ4gpBjokSwb4pg+74AXb0Lqx2d3ZcUWztv2rF7Jnzree848Ot0gONlBzgAnHXOOyD8feGmvRf/dOFg26XjQW/5Oz8PcPUNBWzaa0feHU3fZqks+cxW27FbPvl5zHToyPuusyhp+Om/0A2dNvID0Taml4l2vGTT3MCeVaqNpNYbCJfnY+yngbY+1lYrFhTP04oK6SCH5ujhSd9KBfyQayCPU9rMtDbPpxjsEvjUJfvwP8/fjnPO6C4XO/sufc+lp/10166x8K//6qKXEXHJeNlVFDVOe/0FePYP/yoOP3b6xg9fsdJ6YSO5bvve9a22TeERBkaIUbwn0sHNnpb1PLcGTKBOXwUypHlKNTEeAu18dXDXQTQTswchtTNGJh1e5/xJWJb0Toamo6sjMLSZOIEinqtTNfJIgku7QTE5mu0QzVBFjjg41SS8iLq1VWoMgz0c//Tegclcvu2D3Uu+cuPV36b49AcvmZdrNZcxP3flAMbFn7ge//XVKXijzqV3P1n+6qe/NtL5xBYP+RxDgUX1MHJMwGXSyGQpAxGmOgL9PbVOl+RZBqbx0MSxLCQ25FQIgV4PRa+REhu3VDMuZVpa/B1U21e+E6lmpQ1cptVooUTUObtUWpqKzYn20ap4qdQ2ohgNZccIedz69usGI0IiHTq5hpqhCm1u/H1RGpvFOGwrjOrH2z4sFsK2PFTDIn677sR9T20f+OT9zxb+/aF/eRa06+//pHj7kwNcjQ3bJ+A61nt+fPuDV/3w5t92P7utBNdiaHcEmhwORyYAJdJb1EnotIGXVhGy2JQsgJtJygnAFeATIJJYNVLzTDDL9Qao9wNwXd3S8zQ1A7sO4DFg9QdBJMfQczIJMgFu+gpEcv3id5PXBkRKaCR5nQrgOddDwa0B8DHj9WJg+M17W/pe/xnA/z4hPYcEZ38yFSU9li5sQ2mq/P0PXHQaWTFY++L1P7+t+477A1DXRs6SJcH1m6Jf/AajjvnIWDfXYagrJPsA9baneYJz+T6dIZnNJa/vIIh06mSoKMlngrQiriIOE7UkmRvFiOvWqGmwGv8eiWwLKludhGGkdzuWDy7KeHJrG/oWvX3v8s6zPhv64vuW034AV35+xyEDOAAUWwoQYux7bzlrbTDQXf3atpHH2r2paTS7HIwl1n8aqEBGhF1qzIX4EGhgZZP65XRgVSO9fF5+EmdJmFBUnxF3gsSjaaxNeRgbfl2smJP4eMbB5X+WBjqRmRMCDDU/yrAvtvUj13nueL791Mufe5H/YM2SwnxckYMehxTgAEBIB4So3nDYYWeNnXps6bC+ZnL17x99xK56AjWfZErtJEAoO3aj0ZgFN9r5mKqObrARHewk4+jaQ3CgQI/PLUuKay/d+FWRgyQDxFnBW1mCIvNcDGYm2oGnaEj1SAHATIVgpsLQfuQJfr5l6u9PW3LmRlD39qZCbv9f9jKPQw5wACAkx59+Zt2tH7v0fGdidFN5YZ/9rR/d8QTxqzO0ySXQ45wjcIs4Wzxen/rFnguYM04kazHTo2jspv09mFEfi9LgYdXLQWjnoic7GClwDf9Pc7v+EMNYTsot8xSfrmqT550A+TzjbvtaQXIrP9I5tPTfdo/s9foWdB309ZjP8YoAOACsWb0S43ue9xat6ruB2MHvjtg8c9Ho7l3/Z/fOnQhF5OVU8RtRL0Vh3hhd5VTSXb/haCwh60YW2b0f0MyXtT6nB1OLEsyiB/d3PkR/kcazDMdPGPHfQiBuqV2uCuSbBtDf1fZPk8HgjQHp3f7IY7u9E49fMU9X46WPP4mjZ66jvWcFWGFR5cFHR9Zze+iqM09aceXa41aGoDYgOHIO4FiSupM/kOmCPmnHSOy+NrJXUvMaSGgjxmMOEROk4Yf68VICMHQJL6B/INo27YlPsR/Gu37KseqjCm8m6W0hJ6h5FJUaRRhy5FyC5rZlYcCWX3n0KUNX9RZH1689ZmHllQRu4BUkwfXxwfdeiNtvuyV863kXf37HrlGrveuey/741OMughmUqwFmahwBj5xAAOJuA6r1hTE0miIrfyBLYmZSkWR2VWQ2tShTSjaY3Oi50F31iiAR8TuJY8SzRmwQassK5MZ3SrWEC0R1UORqi0UhI3vHKWq+jQV9rVi6anVtcMkZX8k3dX/+F3fchrec+9IThF+Occh48LmMPfum4FohQk6+uHnzlpPvv/fX1PNKJ9/58Ig1WcqhsxgZfGEoEMi2MIZejpSHU6s5qHjt2FOqfU4K2ENz3ihOPQk3TRfFN7lwNZeYx6NJNCFNceHmuxbyawSViUxnkFmbEHETXsZMXjzi34UhwY0fPU4QhAR+SBFyAkoE2ptrGBmv4oUdC4O8W3zw/Le+iS9ctPhBP6CfbcqHYHbboYZKw/GKBrg+drxwE/KuWxydmPju7fdtfOdtd07RtlwZhDDUfKDsCfhBonqkVY24e4JR6NIEONM8lY28lnFuZhrgJCmsqQM87gaRAXDduWN4NjVHTxrguoMm7fxRAGcMstuGAGNJwSS9yKYuwZPrJeI4kkrNQsWjCAKOxQPAM3s7+VR1xY9tq+39XNRKl73//EMNiTmNV6SKkjUWLLsAO3etL/UPux89PVi2oVZ9ao3wp96+fv1GVGoElVrUEjq+mXK/OESURMHvceFJzTjT9XEdSNEymcUQ04cMTdU69B7ImHO2WyoyMCp1LECY2R05/meQSGyzgmyS0QPIshws2m5ZDNNlil17gb6BJUCu6eYzTz7yaafQf20YVkvLh+fWPuSVMF41ElwfIyMvoqmpaWjjhg3XPPPcC29/7IlHcdfjk5gs59FVoGhyeFTRlAOhUMZoErilJLYlpbYqeGtRImNfkne9R02cjyn/JGqDlNxSTWGs3lXfUIJrqgpjellls9QcYNoFekwJpQBjUVlkJpctxmExkaxnUqKrcso0yqOKel5GfZYKOR9NuRmMToV4bvtiDPQfg74Fy24+bOlhHy+Xy1sHFyw41Lf+gMerRoLrY2BgEKWp8a2HH77yctDcDUeu6f+Y1/TMGTf9ZiOmKhV0NUel4CZmSGyMWjTy9On0GBdJSlMiqbU0M2qqIWoY4ahEMzANSjKJOE/HnscGI2lgnBKl7ye/JvH3avNVEjERkF2OSZxXmRxK9S7V64VzWFZU5zsMgYmSC4CjtWkSPV0hij1HgXa97p6+9uK17V3DTwVB8KoEN/AqBTgAFFvaAWCDEGIDgKeXPVntv/LwVd/ZuH7z0rEdz7L2lioeeN7Hi7ty6CoA1BLg8jdZldYTJKWeKImqv7ScQ8ODqsoNcwLQqGV2mohWklvn0OMkYiDJrkkh3GiQpTtzYGb0EPUUyDaBRAgQDkR9oQji3qXK8NSAblshWpsr2DQCPPxsJwa6Cli6YlXYunDhhjZe/kD/slN2AlhvMePRe9WNVy3A1ZBqw/pN23asD4PwTYt7Whcs6j3xJ5i+veWwJ55puuL7Al6YR8EWUl8l4ETEujiXaImNSaoZmKojgwZOLkT04ur7I5c1J1HRSv0XIq3P604ZiCRrXWhKtcKszogAkiGSjZkMgCPaIeQiVpeEUBntmvTWJDjnEfUX8hJu+X0Pyt7ymQsvev1Ua3vlQlbo3UEo20rmZni84sdr47+QI2p4CupVZ1pt/sxJm3YG//qDn28MnntmS0dtZm9xXylEzQNyVsKg5Bwg7xC4NoFlEVhM6eQk1s8pTeIxgoDD8wWCMImVthiBbRFYFo32Z9G7ejh0sAgthkOBNLYBGGBbgG0J2EzAsmTNEQBBQOD5BF6QZOSoh8BiCXtiMQHHFnAdjrwbIO+EYFRAgCPnBPBDgVK5gP7e9lLvQN/Y9uljrG27m9/3xlOGHmptKU4C4K8VcAOvAQmuDwlEHla3j5PCol+5ufHl//vL36s9eee/fWpq9HfvvvOh5/2HHsfKAgtyE9PTmKkRMEpRcCOQKnDHvXbidVE5CMEFOBcIQo6aF6GMycrPjJM43kpPgKApSkXwqExa9EEaspCqCE0kuMWi5k2WNBJqAKo1Cs+PpLmaA0akSiONCsgmuQywaAjHqaBcYWBWG2w3rG54ka7zyFH2qWtOu2Hvc2f/S8eC2918U291++4Kb2s9+ELzr9TxmgK4Giy3EIg0gPILG7aDUPvq2hS7enDgWPbXw63fyrHK8umZdafdfPceVh4XKLghbBaCUgZKaZLszCKpbFsUjkVgWYA3LjBWCuAHArYF5OwIxBaT0ll262Us2l9Xb1Q7jyjPMTJ4eawvAyyWzAKWJeA6AjknhG1xeAEwVrIxPsVgWYBt0YTzp0pXJwgCgUqVg1KGHtdCABvbJheHRx2++r6eLmd9rm3iQw89zUNm5dCx8m7R2b2wfKjv18s5XpMA18eypQuBxEYLhBh9P+C279531BeeHvmNM7Jxe7hiSfOxeZceNza2B1t3TIExiqLlROwLI3BsguY80NXK0dc9g4c2CMxM2+huEkCewGICwlbgjiS/bUWgV7/2SncOBBCGHJwrIxUQIip0whiJi9LbTCDnhmhp8tDRUsFEuYon7mkD8V20t1I05e0k7IAIWDQAeIiyV0RHRxecPB5z3LE/dPcNs4FVb/M47ftcWVTH1xzXDgD4m0N9Y/5E4zUP8PQgpAsAxgF8EAAefPB+EIIzPM9/IwnHL1y3ubyiVq1h184tsChHuVKF5wVwmgU6WgKsXjqJZ0Zq+I9f9sOmFLYVBR4BEaduWRSuTeBYkDp0BGw/TCS3H3AEYRSRRwnALQEhGBgl4La8MUwg74Robaqho3UCtz4q8JununB0vwdKANfisJgNgRws28KKVcNoKtjYPVF4vrO99SeObf9aCHHP8qNPA/DxQ33ZD9n4swN4epx88qkAcE9QG70HwL3LVoWHjY1N8Dvu2Me7uzqGnXzrZ/bs3oHFAzYG2tYjZ0/iXWeU8IuHHIyWOtHsCjQHEefIKODaQM6N3m1LxKXmPJ8iDIEwFKjUQvhBxBFSSmCFUZ1GAgHbihgRSjlc20dzfgbbdk/i+l92YmzCR22wFStWLEB/F7Bo4SBeHBm7qlSa2Lxqzcm0ra2FlirWRgC/WtDXeagv7StivHbM5Xke217cBcd120Z27Dxjw4bnMdhr+ysW1z7hOrVzAB93PGLhK99/AZY3hcFOgt4OC51tDppzIVy7ipwjDUQS6dFCCGwecfHinhDbdtUAET0EkAFeOZeio7WAro48utoE+rs8DHSV0NNlYaR6LH79eAcYsVDIkTsXNHlf6+kU9prVq9DR2XeP73sTucLc+7f/OY0/ewneaCwa7AOACQC3AEBY2wIA6zgPe5kl+OtODPDvP9uJyX0V2A6B61oQnPvHH3/MFWFQOs8iVZ/SKCqvpakGQmZQY+0YWEiQ31IBFQwteQI/BACBYpNjd3a03vbilqevoNSxLUvAthmo1Yr27pPxptOb4TiCWoztBrD5yKUH1rP9z3X8fwk+j2PDcw8BBL1Tk7tbqagISglqPkVrcxWElPDE8x1obrLw5KYyqLDQmieoBQCEQLHZJQsH+yeFELvPOevUQ/2vvGbG/wNsO4+tY3dSfgAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNzoxNDowMyswMDowMFoRp5AAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTc6MTQ6MDMrMDA6MDArTB8sAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 44923969
{'hecke_orbit_code': 22519647437849104, 'n': 1, 'trace_an': 4}
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id: 44923970
{'hecke_orbit_code': 22519647437849104, 'n': 2, 'trace_an': 0}
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id: 44923971
{'hecke_orbit_code': 22519647437849104, 'n': 3, 'trace_an': 1}
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id: 44923972
{'hecke_orbit_code': 22519647437849104, 'n': 4, 'trace_an': 0}
-
id: 44923973
{'hecke_orbit_code': 22519647437849104, 'n': 5, 'trace_an': -1}
-
id: 44923974
{'hecke_orbit_code': 22519647437849104, 'n': 6, 'trace_an': 0}
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id: 44923975
{'hecke_orbit_code': 22519647437849104, 'n': 7, 'trace_an': 3}
-
id: 44923976
{'hecke_orbit_code': 22519647437849104, 'n': 8, 'trace_an': 0}
-
id: 44923977
{'hecke_orbit_code': 22519647437849104, 'n': 9, 'trace_an': -1}
-
id: 44923978
{'hecke_orbit_code': 22519647437849104, 'n': 10, 'trace_an': 0}
-
id: 44923979
{'hecke_orbit_code': 22519647437849104, 'n': 11, 'trace_an': -9}
-
id: 44923980
{'hecke_orbit_code': 22519647437849104, 'n': 12, 'trace_an': 0}
-
id: 44923981
{'hecke_orbit_code': 22519647437849104, 'n': 13, 'trace_an': -9}
-
id: 44923982
{'hecke_orbit_code': 22519647437849104, 'n': 14, 'trace_an': 0}
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id: 44923983
{'hecke_orbit_code': 22519647437849104, 'n': 15, 'trace_an': -4}
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id: 44923984
{'hecke_orbit_code': 22519647437849104, 'n': 16, 'trace_an': 0}
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id: 44923985
{'hecke_orbit_code': 22519647437849104, 'n': 17, 'trace_an': 2}
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id: 44923986
{'hecke_orbit_code': 22519647437849104, 'n': 18, 'trace_an': 0}
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id: 44923987
{'hecke_orbit_code': 22519647437849104, 'n': 19, 'trace_an': 10}
-
id: 44923988
{'hecke_orbit_code': 22519647437849104, 'n': 20, 'trace_an': 0}
-
id: 44923989
{'hecke_orbit_code': 22519647437849104, 'n': 21, 'trace_an': 12}
-
id: 44923990
{'hecke_orbit_code': 22519647437849104, 'n': 22, 'trace_an': 0}
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id: 44923991
{'hecke_orbit_code': 22519647437849104, 'n': 23, 'trace_an': 4}
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id: 44923992
{'hecke_orbit_code': 22519647437849104, 'n': 24, 'trace_an': 0}
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id: 44923993
{'hecke_orbit_code': 22519647437849104, 'n': 25, 'trace_an': -6}
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id: 44923994
{'hecke_orbit_code': 22519647437849104, 'n': 26, 'trace_an': 0}
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id: 44923995
{'hecke_orbit_code': 22519647437849104, 'n': 27, 'trace_an': 1}
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id: 44923996
{'hecke_orbit_code': 22519647437849104, 'n': 28, 'trace_an': 0}
-
id: 44923997
{'hecke_orbit_code': 22519647437849104, 'n': 29, 'trace_an': -10}
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id: 44923998
{'hecke_orbit_code': 22519647437849104, 'n': 30, 'trace_an': 0}
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id: 44923999
{'hecke_orbit_code': 22519647437849104, 'n': 31, 'trace_an': -8}
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id: 44924000
{'hecke_orbit_code': 22519647437849104, 'n': 32, 'trace_an': 0}
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id: 44924001
{'hecke_orbit_code': 22519647437849104, 'n': 33, 'trace_an': -1}
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id: 44924002
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id: 44924220
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id: 44924221
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id: 44924222
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id: 44924223
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id: 44924224
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id: 44924225
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id: 44924226
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