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mf_newforms • Show schema
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{'Nk2': 1984, 'analytic_conductor': 3.960579940255507, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [31, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [496, 1, [63, 373, 65], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-2, 2, 1]], [5, [-12, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425148400, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '496.2.a.h', 'level': 496, '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, 31], 'level_radical': 62, 'minimal_twist': '62.2.a.b', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta )q^{3}+2\\beta q^{5}-2q^{7}+(1-2\\beta )q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '496.2.a', 'trace_display': [0, -2, 0, -4], 'trace_hash': 2052882394933351516, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.943', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.246', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '61.781', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.028', 'prec': 17}, 'traces': [2, 0, -2, 0, 0, 0, -4, 0, 2, 0, 6, 0, -2, 0, 12, 0, 0, 0, 8, 0, 4, 0, 0, 0, 14, 0, -8, 0, -6, 0, -2, 0, 0, 0, 0, 0, 10, 0, 20, 0, 12, 0, 2, 0, -24, 0, -12, 0, -6, 0, -12, 0, 6, 0, 12, 0, -8, 0, 12, 0, -2, 0, -4, 0, 36, 0, -16, 0, 0, 0, 0, 0, -20, 0, -14, 0, -12, 0, -4, 0, 2, 0, -6, 0, -24, 0, -12, 0, 12, 0, 4, 0, 2, 0, 0, 0, 4, 0, -6, 0, 0, 0, -16, 0, -24, 0, 12, 0, -20, 0, -28, 0, 12, 0, 0, 0, -38, 0, 0, 0, 2, 0, 0, 0, 0, 0, -4, 0, 16, 0, 24, 0, -16, 0, 0, 0, 0, 0, 26, 0, 12, 0, 12, 0, -36, 0, 6, 0, 0, 0, -4, 0, 24, 0, 0, 0, 4, 0, -12, 0, 0, 0, -4, 0, 24, 0, 24, 0, 30, 0, 8, 0, 12, 0, -28, 0, 0, 0, -18, 0, 10, 0, 20, 0, -36, 0, -12, 0, 16, 0, -36, 0, 4, 0, -48, 0, 18, 0, 8, 0, 16, 0, 12, 0, 24, 0, 0, 0, 24, 0, -4, 0, -48, 0, 36, 0, 4, 0, 20, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [-1, 1], [0, 0], [0, 2], [0, 0], [-2, 0], [0, 0], [1, -2], [0, 0], [3, 1], [0, 0], [-1, 3], [0, 0], [6, -2], [0, 0], [0, -2], [0, 0], [4, 0], [0, 0], [2, -2], [0, 0], [0, 0], [0, 0], [7, 0], [0, 0], [-4, 0], [0, 0], [-3, -3], [0, 0], [-1, 0], [0, 0], [0, 2], [0, 0], [0, -4], [0, 0], [5, -3], [0, 0], [10, -4], [0, 0], [6, 2], [0, 0], [1, 3], [0, 0], [-12, 2], [0, 0], [-6, 0], [0, 0], [-3, 0], [0, 0], [-6, 2], [0, 0], [3, -1], [0, 0], [6, 6], [0, 0], [-4, 4], [0, 0], [6, 2], [0, 0], [-1, 3], [0, 0], [-2, 4], [0, 0], [18, -2], [0, 0], [-8, 0], [0, 0], [0, 0], [0, 0], [0, -8], [0, 0], [-10, 0], [0, 0], [-7, 7], [0, 0], [-6, -2], [0, 0], [-2, -6], [0, 0], [1, 2], [0, 0], [-3, -5], [0, 0], [-12, 0], [0, 0], [-6, 0], [0, 0], [6, 0], [0, 0], [2, -6], [0, 0], [1, -1], [0, 0], [0, 8], [0, 0], [2, -6], [0, 0], [-3, -5], [0, 0]], 'ap': [[0, 0], [-1, 1], [0, 2], [-2, 0], [3, 1], [-1, 3], [0, -2], [4, 0], [0, 0], [-3, -3], [-1, 0], [5, -3], [6, 2], [1, 3], [-6, 0], [3, -1], [6, 2], [-1, 3], [-8, 0], [0, -8], [-10, 0], [-2, -6], [-3, -5], [6, 0], [2, -6], [0, -6], [-8, 0], [6, 2], [-10, 0], [6, 2], [-2, -6], [12, -4], [0, 2], [13, 3], [0, -2], [-2, 6], [2, 0], [-2, -6], [12, -4], [6, 8], [-9, -7], [5, -3], [-18, 4], [2, -12], [9, -7], [4, 0], [-2, 6], [10, -6], [-6, 10], [5, -3], [6, -6], [18, -2], [-4, 6], [21, -1], [-6, 8], [6, -6], [21, 5], [-2, 6], [23, 3], [6, 0], [-2, -6], [-6, 4], [-2, 6], [-12, 12], [-4, -6], [-24, -2], [13, 3], [14, 12], [3, 5], [8, 6], [-6, 4], [18, 4], [4, 0], [14, -12], [-26, 6], [6, -2], [3, 7], [-4, -6], [0, 6], [8, -6], [18, -6], [-16, -6], [6, 8], [-28, 6], [10, 0], [0, 16], [24, -6], [-4, -6], [9, 9], [-8, 0], [-18, -6], [0, 8], [-26, 6], [-3, -5], [19, 9], [-24, 8], [-3, 5], [6, -8], [7, 21], [-10, 0], [-2, -6], [-27, -3], [-12, 4], [12, 2], [1, -21], [14, -18], [39, -3], [6, -18], [-6, -8], [2, 0], [-20, -12], [23, 3], [6, 16], [1, -21], [22, 6], [12, -22], [-11, -21], [6, -18], [24, 6], [0, 12], [-10, -12], [20, 18], [-21, -1], [-6, 6], [16, -12], [-6, 4], [29, -3], [12, 8], [-8, -24], [32, -6], [-11, 3], [-6, -18], [-2, 12], [-13, -9], [36, -2], [26, -6], [-15, 9], [-35, 3], [9, -7], [12, 22], [-2, -6], [-3, 21], [-26, -18], [-3, 7], [-43, -3], [30, 0], [20, -18], [-30, -4], [7, 21], [30, -14], [20, -18], [30, -4], [25, 15], [18, -4], [-26, -6], [24, 8], [-20, -12], [0, -18], [-10, 24], [-21, -1], [15, -7], [-12, -6], [46, -6], [-24, 16], [42, 0], [-30, 10], [4, 12], [2, 12]], 'char_orbit_index': 1, 'field_poly': [-3, 0, 1], 'hecke_orbit_code': 31525197425148400, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '496.2.a.h', 'level': 496, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [4, 4, 5, 2], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3], 'ALdims_old': [7, 15, 8, 14], 'Nk2': 1984, 'analytic_conductor': 3.960579940255507, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [496, 1, [63, 373, 65], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 59, 'dim': 15, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 33554928, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 3], 'label': '496.2.a', 'level': 496, '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, 31], 'level_radical': 62, 'mf_dim': 70, 'mf_new_dim': 15, 'num_forms': 10, 'plus_dim': 6, 'prim_orbit_index': 1, 'relative_dim': 15, 'sturm_bound': 128, 'trace_bound': 5, 'trace_display': [0, 0, -2, -2], 'traces': [15, 0, 0, 0, -2, 0, -2, 0, 11, 0, -4, 0, -2, 0, 0, 0, -2, 0, 6, 0, -8, 0, 8, 0, 17, 0, 0, 0, -2, 0, -3, 0, 0, 0, 18, 0, -2, 0, 16, 0, -2, 0, -20, 0, -18, 0, -16, 0, 7, 0, 16, 0, 6, 0, 20, 0, -16, 0, 18, 0, -10, 0, 6, 0, -12, 0, 4, 0, -8, 0, 18, 0, -2, 0, -8, 0, 8, 0, -20, 0, -1, 0, 4, 0, -12, 0, -16, 0, 6, 0, -24, 0, 0, 0, 14, 0, -10, 0, -28, 0, -18, 0, -38, 0, -8, 0, -34, 0, -2, 0, -32, 0, 30, 0, -8, 0, -10, 0, -8, 0, 11, 0, 48, 0, 0, 0, -52, 0, 24, 0, 4, 0, -4, 0, 56, 0, 22, 0, -36, 0, -24, 0, 16, 0, 20, 0, -32, 0, 10, 0, -4, 0, -2, 0, 12, 0, 6, 0, -32, 0, 0, 0, -42, 0, 0, 0, 64, 0, 33, 0, 62, 0, -22, 0, -32, 0, -24, 0, -32, 0, -18, 0, -32, 0, 20, 0, 16, 0, -24, 0, -26, 0, 14, 0, -16, 0, 30, 0, 28, 0, -40, 0, 36, 0, -8, 0, -16, 0, -8, 0, 18, 0, -8, 0, 20, 0, 0, 0, 16, 0, -28, 0, 32, 0, -3, 0, 20, 0, -26, 0, 144, 0, 14, 0, 56, 0, 72, 0, -36, 0, -2, 0, 0, 0, -46, 0, -40, 0, 0, 0, 84, 0, 32, 0, 0, 0, 14, 0, -60, 0, 6, 0, 80, 0, -4, 0, -64, 0, 30, 0, 60, 0, -56, 0, 80, 0, 22, 0, -15, 0, -10, 0, 4, 0, -8, 0, -14, 0, -11, 0, -104, 0, 66, 0, -62, 0, 0, 0, 80, 0, -32, 0, 40, 0, 60, 0, 22, 0, 88, 0, 2, 0, -2, 0, 122, 0, -10, 0, 40, 0, -24, 0, -48, 0, -54, 0, -16, 0, 16, 0, 36, 0, 30, 0, -8, 0, 22, 0, -64, 0, 0, 0, -22, 0, 8, 0, -72, 0, 2, 0, -96, 0, 38, 0, -138, 0, 40, 0, -38, 0, -69, 0, 88, 0, 36, 0, -12, 0, -18, 0, 24, 0, 46, 0, -176, 0, -44, 0, 20, 0, 80, 0, 92, 0, -72, 0, -132, 0, 14, 0, 80, 0, -32, 0, -156, 0, -18, 0, -64, 0, -26, 0, 6, 0, 6, 0, -40, 0, -50, 0, -80, 0, 20, 0, 124, 0, -64, 0, 66, 0, 38, 0, -32, 0, 10, 0, -16, 0, 56, 0, -72, 0, -66, 0, -32, 0, 0, 0, -110, 0, -37, 0, 30, 0, 4, 0, -24, 0, 30, 0, 44, 0, -8, 0, 24, 0, -2, 0, 80, 0, 30, 0, 60, 0, 0, 0, -22, 0, 80, 0, 40, 0, 0, 0, 156, 0, 38, 0, 94, 0, -52, 0, 80, 0, -112, 0, -104, 0, -16, 0, -8, 0, 20, 0, -28, 0, -32, 0, 116, 0, -48, 0, -54, 0, -20, 0, -160, 0, -34, 0, 148, 0, -40, 0, -162, 0, 8, 0, 216, 0, 78, 0, 80, 0, -120, 0, -18, 0, -17, 0, 58, 0, -36, 0, 102, 0, -24, 0, -136, 0, -66, 0, -112, 0, 4, 0, 54, 0, 14, 0, 76, 0, -120, 0, 64, 0, -66, 0, 48, 0, -48, 0, 146, 0, -40, 0, 46, 0, 70, 0, 32, 0, 80, 0, -120, 0, 38, 0, 0, 0, 56, 0, -96, 0, -36, 0, -24, 0, 0, 0, -96, 0, 22, 0, -16, 0, 0, 0, -50, 0, -34, 0, -220, 0, -74, 0, -64, 0, 120, 0, 120, 0, 38, 0, 48, 0, -18, 0, 92, 0, -80, 0, -140, 0, 59, 0, 16, 0, -52, 0, 124, 0, 88, 0, -196, 0, 46, 0, 154, 0, 38, 0, -204, 0, 72, 0, -152, 0, 40, 0, 24, 0, 34, 0, 8, 0, 38, 0, -62, 0, -10, 0, 184, 0, 96, 0, 96, 0, 48, 0, -96, 0, -26, 0, -72, 0, -154, 0, -58, 0, 96, 0, -34, 0, -28, 0, -256, 0, 44, 0, -22, 0, -24, 0, 76, 0, -44, 0, 80, 0, -2, 0, -4, 0, -32, 0, 122, 0, -2, 0, 84, 0, 0, 0, 48, 0, -24, 0, 4, 0, -48, 0, 208, 0, -14, 0, 242, 0, 11, 0, 80, 0, 118, 0, -168, 0, 80, 0, -92, 0, 40, 0, -28, 0, 92, 0, 236, 0, 20, 0, -54, 0, 56, 0, -148, 0, 94, 0, 144, 0, 78, 0, -186, 0, -52, 0, 224, 0, -82, 0, 32, 0, 46, 0, -15, 0, -64, 0, 6, 0, 144, 0, 240, 0, 12, 0, -132, 0, 72, 0, -82, 0, -28, 0, 80, 0, -10, 0, 96, 0, 102, 0, 120, 0, 40, 0, 32, 0, 70, 0, 196, 0, 168, 0, -58, 0, -64, 0, 32, 0, -18, 0, -176, 0, -160, 0, -104, 0, -90, 0, -160, 0, -18, 0, -168, 0, 0, 0, 64, 0, 49, 0, -24, 0, -38, 0, -146, 0, 96, 0, -192, 0, 42, 0, -106, 0, -114, 0, 104, 0, 32, 0, 4, 0, 12, 0, 40, 0, 16, 0, -176, 0, -26, 0, 166, 0, -10, 0, 120, 0, -26, 0, -120, 0, 48, 0, 182, 0, -64, 0, -220, 0, -176, 0, -160, 0, -88, 0, 42, 0, -84, 0, 80, 0, -76, 0, -150, 0, -18, 0, 172, 0, -96, 0, 224, 0, -72, 0, -56, 0, 120, 0, -200, 0, 138, 0, -142, 0, -42, 0, -24, 0, 112, 0, -272, 0, -18, 0, 0, 0, -114, 0, 16, 0, 40, 0, 188, 0, -84, 0, 88, 0, 86, 0, 146, 0, -136, 0, 16, 0, 15, 0, -42, 0, -104, 0, 32, 0, 40, 0, 44, 0, 128, 0, 480, 0, 30, 0, 136, 0, -210, 0, -92, 0, 12, 0, -32, 0, 40, 0, -96, 0, -160, 0, 252, 0, -18, 0, -48, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 352747
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '496.2.a.h', 'source_level': 496, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '62.2.a.b', 'target_level': 62, 'twist_class_label': '62.2.a.b', 'twist_class_level': 62, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 352748
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '496.2.a.h', 'source_level': 496, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '496.2.a.h', 'target_level': 496, 'twist_class_label': '62.2.a.b', 'twist_class_level': 62, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 352749
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '496.2.a.h', 'source_level': 496, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '558.2.a.j', 'target_level': 558, 'twist_class_label': '62.2.a.b', 'twist_class_level': 62, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 352750
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '496.2.a.h', 'source_level': 496, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1550.2.a.h', 'target_level': 1550, 'twist_class_label': '62.2.a.b', 'twist_class_level': 62, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 352751
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '496.2.a.h', 'source_level': 496, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1550.2.b.f', 'target_level': 1550, 'twist_class_label': '62.2.a.b', 'twist_class_level': 62, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 352752
{'conductor': 124, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '496.2.a.h', 'source_level': 496, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1922.2.a.f', 'target_level': 1922, 'twist_class_label': '62.2.a.b', 'twist_class_level': 62, 'twisting_char_label': '124.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 352753
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '496.2.a.h', 'source_level': 496, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1984.2.a.o', 'target_level': 1984, 'twist_class_label': '62.2.a.b', 'twist_class_level': 62, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 352754
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '496.2.a.h', 'source_level': 496, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1984.2.a.s', 'target_level': 1984, 'twist_class_label': '62.2.a.b', 'twist_class_level': 62, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 352755
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '496.2.a.h', 'source_level': 496, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '3038.2.a.o', 'target_level': 3038, 'twist_class_label': '62.2.a.b', 'twist_class_level': 62, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 352756
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '496.2.a.h', 'source_level': 496, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '4464.2.a.bi', 'target_level': 4464, 'twist_class_label': '62.2.a.b', 'twist_class_level': 62, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 352757
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '496.2.a.h', 'source_level': 496, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '7502.2.a.h', 'target_level': 7502, 'twist_class_label': '62.2.a.b', 'twist_class_level': 62, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 968000
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525197425148400, 'p': 2}
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id: 968001
{'charpoly_factorization': [[[-2, 2, 1], 1]], 'hecke_orbit_code': 31525197425148400, 'p': 3}
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id: 968002
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 31525197425148400, 'p': 5}
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id: 968003
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 31525197425148400, 'p': 7}
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id: 968004
{'charpoly_factorization': [[[6, -6, 1], 1]], 'hecke_orbit_code': 31525197425148400, 'p': 11}
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id: 968005
{'charpoly_factorization': [[[-26, 2, 1], 1]], 'hecke_orbit_code': 31525197425148400, 'p': 13}
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id: 968006
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 31525197425148400, 'p': 17}
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id: 968007
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 31525197425148400, 'p': 19}
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id: 968008
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525197425148400, 'p': 23}
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id: 968009
{'charpoly_factorization': [[[-18, 6, 1], 1]], 'hecke_orbit_code': 31525197425148400, 'p': 29}
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id: 968010
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 31525197425148400, 'p': 31}
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id: 968011
{'charpoly_factorization': [[[-2, -10, 1], 1]], 'hecke_orbit_code': 31525197425148400, 'p': 37}
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id: 968012
{'charpoly_factorization': [[[24, -12, 1], 1]], 'hecke_orbit_code': 31525197425148400, 'p': 41}
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id: 968013
{'charpoly_factorization': [[[-26, -2, 1], 1]], 'hecke_orbit_code': 31525197425148400, 'p': 43}
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id: 968014
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 31525197425148400, 'p': 47}
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id: 968015
{'charpoly_factorization': [[[6, -6, 1], 1]], 'hecke_orbit_code': 31525197425148400, 'p': 53}
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id: 968016
{'charpoly_factorization': [[[24, -12, 1], 1]], 'hecke_orbit_code': 31525197425148400, 'p': 59}
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id: 968017
{'charpoly_factorization': [[[-26, 2, 1], 1]], 'hecke_orbit_code': 31525197425148400, 'p': 61}
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id: 968018
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 31525197425148400, 'p': 67}
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id: 968019
{'charpoly_factorization': [[[-192, 0, 1], 1]], 'hecke_orbit_code': 31525197425148400, 'p': 71}
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id: 968020
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 31525197425148400, 'p': 73}
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id: 968021
{'charpoly_factorization': [[[-104, 4, 1], 1]], 'hecke_orbit_code': 31525197425148400, 'p': 79}
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id: 968022
{'charpoly_factorization': [[[-66, 6, 1], 1]], 'hecke_orbit_code': 31525197425148400, 'p': 83}
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id: 968023
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 31525197425148400, 'p': 89}
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id: 968024
{'charpoly_factorization': [[[-104, -4, 1], 1]], 'hecke_orbit_code': 31525197425148400, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '496.2.a.h', 'level': 496, 'portrait': 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6GBY/MVOn1Lsyqo+QJJTBAkNGsJ7Z7PsXMwND7GWi7dFNLpJZxe1Ew1PC7aFLNtfZd6bYiQljAUtHpVFlo+UzWBJz1On/M5eEpw9GzM8aWYoNrj9Td2edvNEMhJ9h1rcnxecSZj7gXLwUXLDVcs8AvvXWHT1CTHTk9zZqnKworH4opkuRWz3I5YaSecXY5ZSRpsWD9l/s0PT338lquDH59fStoXX/ZPXm5IfFOPv9MAX15p0RoIAm1/9YEn97/yZ97/p/KWXfOv/K//8qheXN3E4soUiys1llo+Sy3NUguWWwnLrYil1YSzq3BoSTA3u8q/+4ElbtpZ48T8NKfP1Tm9qJlfspxdjDm5kHCuEzM5PeBVV3V5xaXgyyqBCphfrnBmUXN2WdAbQhwbKr6hXkmYmogxwLGzMe0uXLDeo14dYq0A4dPtG7ZtGLK0qsE6KbLahWEMFstyK2TzOo9OXyGURZghzYrHto0DVnuCY6c1idHMNCWNiiDwII4FvaHk7LLkzJJlfiUmCAbgxdxyeZdXXiGYa1ZZWmlyYj7g9CLML8bML8ecWoZDS5YbLl/kl39ghQ2TTY6fnebsUpWFFZ/FlmR5NWElBfdyx3KuLTjagu7KEp//rV58+43ew6b2U0ZWrnpYyfhno7iKX2m+3FB5ycff2SDzYx//FNNTE5ydX/iVD3/8/n/1kTufCo7Nh8RJzDOHfa7Z3iWKfOJYkhhBYsAYjbUKZ6yAEAlCWA4vTfHvPiL4lR+e57rtIY3qNPVqg2YtoFHzmGwq5pcUZ1c0X3mkwucfirlka49LL4pZXulz2dYh73mzIYoVAstff63CuVaFajLk6BlFt9vg6osTzrVj9uzz2LlVcuA03LILWh0IjSbQIbN12H+qSq0aEaiYiYZgtQM3X9bh0MmAnRcYjpwe8uIh9+95WwccmrdMNIYst0M+95UaViiSJOG2a3vcep3l7KrHdTsG7NjkEUdNev0qew5XOLsoWFhJOLcSM79sOL4smO+GXLtziV/8vi5zzSmOnZlkfqnKwqrHUkuy0kpodSJa3YRWz7Lag4W+pN8b8ooru2yaXNSdlcZrW2c+im687tbJDW8x9Wbz5x6896959ev+wcsNmfM+/k4y+Kc+9Wku27lVPfbU/l88eOTszz381BF1fCFiaahY7MdcfeE5/t+fWOS6HVXOLk+xtFpnuVVhueWx3NasdGCllbDSjlnuxCy24MSKQFcH3HrFMt/92pDt6+qsdpucW66ysOyz2BIstwxLLcNKx9DuG9pDS28QM9OM2LbeAILAs5w85yFkwAXrFNs3WTat6zG/MuTZAw2uv8RSq67wwsFpGvWQMPSYmTL0B3DZtgEfvWeSXVtjhkPL7IQkSvo0KgEvHh1Q9epcuzPmucMh80s+m2cCtm+EbRtClIo4uQi+ZxHCcsH6mKmGpNMP6PY82j2P5bZieRWWWoblVsJiK+FsC5YGCds2d/nu2xa59VJNxWtyZrHJ4kqFxVXNcluw0jKsdiJWOgmrHctSF852FWdXY27edZb3/5NFdm6ustppstqpsNKZJJK7Eh1s/BXrX/jLRGeSN775219u6Kx5/J0C+L59+wiCSvXs2VPb9uze8+7Dx07/hz37T9DuC1a7ltW+5FxfcqYTccNF8/yXn1jm6ouqnFuZZGm1zkq7wnLbY6WtWWlDq2NY7cSsdGKW25b5luB014Lo8s5Xt3jrTYaLNlYIwxorrQqrXZ9WR7HSFXR6gsHQEsaWJAElLYEH1cAy2bSsm47Q3oBDZ0KePxhg4jpvvjlEe6s8uWeCCzfCFx6LefWVAedafSpaEScR01MQRx7ai1laqvGq69p84ZEG2zfCEweGeNR4002GWPR5/lDCkZMVtPRZP6WZqguqgcD3BUpAbCCMLIMQOj3LatfQ6RlWe4alrqWfJFywpcdbX9Hina8MwTRYWp3g3HKVpYwMWrDaSWh1Y1Y7Catdy3IXznQUC+2EG3bO8/6fOMflF1RZXJ1gtVOj3amw3PZZWBHoyhaq9fU/v33Hrr/YtnXL8cFg0L/4kp0vN5Tyx98ZgO/ff4C5uTn/wMEDP3Tk8MHf2/3iC2JppSM7PUO7l9DuGdp9wUpfsJCC/KaLz/HrP7rEdRdXWFzNQB6w2vFZ6WhWO4JWx9LqJqx2Ylpdw0rXcq4jONMyTE32eMMNHW65NOaC9Ypm1aPdqRB4ElCEscQYgbHQGwDCMNUYcOCUxdiQu56oM+xVuXizz61X9YjMKvc/Ncm1l3gcONultdLkFVf1+MqTAeunLXuOWf6vd7TZczRg/bTk7qcUt16mWO61OXximmt3htz/fJ94WOOWy312bB3Qj7t8+UkFieDQSU2zptECen2JsYLEWKIYkAbtG1pdS70RsXXjkFde1uMN18fM1CvML0+wtFplpe3OzUpb0OpCqxPT6sa5LFnuSc52BIudmJt3LfArP7rA1dsrLGTg7ga0uz6trma1q1hpQ2wq5qqrrrIXX3LJT26/6JIPLy2eCy+66O+G0/J3AuBRFMnhYPD2Rx784sWrnej9jz32hCelJIotvUFCtx/T7Rs6A0u7L2j3Bef6ktOtmFsuO8ev/ugC1+/wWW1PsLDSoNWtsNrxWe1qWh1FqwedrqXdi2l3E7p9Q6tnWegKFroQJUOuvqTPhumEbs/yllcMuXCDIU4kWlrCCO57tsLxcxU2TsW8cKgCpsalWxTX7TIElR5PHuixsFjnigvrNCdXeOQ5jxsvqbDUW2VlpcmGDZbH9ii+7/Yuj+/RbFnnsdhtsbI8zXWX9XjkhYTp6iRXXNzlXKvFY7snqeo6N+yy7Nw2ANnl2SOCddMR8wsR9z/rMYgUUkJiLBduDHnDK0I6XcWmKcN1l0AY1lhu1VhuBax2Pdo9RasraXdxpNFN6KTksdqzLPclp9qCVn/IrTsX+OUfWeGGS9zN0epUafcCOqkcavcUnb6k24f+IMFayzXX3hDFifzpf/gP33awXqt+TmvPvNzYetmDzOGwRxT1f+Dwwad/48zpA9Pz55aZbCriRCBCizEWY7LA0SCwSGGR0iKl5vH96/nZD2recesy33P7Mts3h5xdahL4VaqBTy3wqFc1naqk0feYqOv0pklYPzT0h5bOIGB5ocLJE5YwNpw6GxMEFhD4yqKloNdXCDzinuaaCwU7Nlm2be4xTDp88XHF3oNTvPH6gOsuW+FPv2jxRY0LN/d47hHF5knFbLNHRVUJI49zHahXNFvWC57ZG3LdziqvvXaRP7mzj+81eP3NFi/o8dXHQr7waJ3dR6pctKnGhRsT5qZCts9GXHlhglIGrSxgqQUBc5MBYeTR6fm8cMCjO9D0+oruwAGxO7B0e+6zd/oJ3b6l3bes9mGhp5hfsdQmWvzUmxf4h7cOufqiOmcWm7S6FTopuDt9B+zeQDAYQhha4sRJpQcefMxrTEz/xty69cuvvPWmf9Xt9v6kXq/9nwvwOOoC/MjZYw//6pE9901H/S6NqoenJMMIBAKsIjVFEAKEcJ00SlqUTPCl5LkDczy9v86B0+d4xyu7vPLyAZONJsutGvV2hWbfp9vTdNKL3R9oekPNYGgZhIYwskSRJU7cEcY+1oBUAk8LKr5gsiGYasCGWcOW9T1mp1p86Ul44GkPaSZ44/Ue11za4aHdEeGgya3XCFr9PueW6tyy0zA72aOqAwaxYqEdoYzgmp2aWmPIU/sqvOa6CV5xdYen9imwE1x/uc8Pv22ZrzwTcvfjdfYcr7BtTrFhuspUo8ZEA6oBeNqiJBgLe44IkkQQxYIwhmGE+4zDhP7QMBgaegNDb2jo9qE9hIWu5FwHhmbAHdcu8/ZXtvje1xviuMnZxTrtboVO36fb9+j2FZ2+ojcQ7kjP3zBMGIbu3z+7dIaT81+cXmwl/+kffttr9Gq798HJ5ssH8pcN4NFgCaz54c7CXb+6evor62p+yMxklf4goadAKYEUEiEEQiiEEEhJCm5QyqKVxVOGqidY7FX52D1b+OrTbV595SrvvWOVK7d3mZmssbRao9MP6PW9FNjKHaFgGEmiWBDHbqnPLEYlLVpDxYda1TDdiNi8rkdMlwOnIj5+f4XDJ+pMBlVuvFxzy1VtHtvf4q6vNbn5kgrbNvb46D0CJQKajYjV7hBjQQmYa/Zod3xMXOXtrz7Hx75QY8d8hbfe3COMlrj/+RmipMJNl6/jrTe2uWRri68+1eO5EzWePeKzZVoy3RTUAoHvuZtQpje/sWCMJYrTmzWyDCMHxEEI/RA6A8HKULDcAaEHXLtrlfe+YZVXX54w06yy0q7R6lTp9AK6A49uv1gJekNJf4AD9zBhODQMwoRBaNNDcnqpxe9/5CvrFrr86g+881X29PzqH29aP/l/BsD//W99iJ//5wusnPrIDyo7eH9vafesEj2atQYQIYVGSFBSuosmJVI4sCupkTJBKZEuzwZPWQJtqWrBykCx1JriE/fVefSFLrdevcp7X7/KtTtazCRV4jigN6jQ7Xv0h5owUkSxJE6cl26syCVQ4BtqlZjAD/G9IaeWhtz5hOTgSZ8jJ6dQJmDHRp/Ltiuuv7SNChZ4/lCDzZM1rrgINsytsNxucuVmSWwsX3o8YNiTTNZj3nTTgM/dH3H8bINdF3ucWR3w4mGPreunuHr7Ag891+GRFwXD0OfS7dNcujXg0i0dDp1Z5uApeHxvjQOH69S0INCSemCpeCClC6qsdTdrnEAYQ5gIukNBeyBoRxCaGGMH3HBJm/e+oc2rr0zYOB0wGEyw1KrQ6QZ0Bz69vqY7UPQGiv5Q0B9I+kPXNzoYJimwDYOhZRgaeqGlP4RBrDh7usVvf/TedS8cPv7+bbPEwJ+2hlbEEXam8b8u9PtfCvA/+PM/5iMfPYvvbfje3Qf3/PY7bn5q8vXXSwb+BEkSYax0EkRalHQBlFKgpEAqgVIKpQRaGbRK8LTA1wbfswSepeYnTFYEnaHHSnuKTz7Q5J5nB6yf6vHu21pcunXAoN/liu2WrRsUw8gjSRSJkdgM3NLg6YRj85YjZwWrfcNnH6pxanEKG3pMVRSbZjQXbNBctBmu2NHGyEU+8Lk6y8sT3Hyp5oodLb76rEDEHuumJPVaTC/ykVaClSjt0xoI5pcFl9sat13f4eGnqmya9bn5imn+8dsW+fAXOjy+r0534LG02mD7piq7Nva4aWeH73hNh9PLy3z2oYClXsCxMx6nTvl4SiClRCAw1pIYiIwliQ1TMxFXXd5jOIy4dOuQd902ZN2EYroREEUVzixU6PV9ekO3yvVzYEsH7qHT3A7QSS5NCua29EPoDgXdUDCwihPHlrhyw+7Zf3Tbuv/yA0df+Pkk5oeTZPjA/0rM/S8D+LlDv8vcRRvEJRu733X05HN/9ER7dy2MhlR8RcUfYkogE5I8kHRAlygp0UqgVfqsBZ5O8LXA9wwVz1KNLLXQMlFJmKoKeqGkE9Y5crLOr//5NJgYEcdcf1WP7RtC4hiMNVjrkjhSuBtJez77jvvsOVihXtE0fMlsTTA3I1k3rdk0p7hgY8KuC1ZJxBK/8+kmx45PcvNOj0svTOjHHb72fMBk1WNmwjLZCKlVnRQyRtIaKJa7lqVWQqtb5VVXrPLEnh57jysmmxVuunySH337Er/7GXjqYJ1u37La0cwvN9kwW2Pd1IALZgb86+/q0ay1eO4I7Dsh8TyLUhYhDGDd/yzEMVy4IeHWK2OSyCOKA6ytMQg9zi769IduRRuEKpdv/VAwGAoGoWPtYWgZhE6SDEPDIDLp97IDepEDdysStGMgiah4A/Yf2TP36L6PzE1N7dz+w9/7XQ/+zH/6iP21/+e9//sA/Md+8aNc988vUu/7jiffecP2fX967eanKvZmyYWbY1AxtaqHta5NSgiLkBYlNUpZF0wqleptiaed5vQ9xdCTDENDECYMI0s1MgwjQxhamjEMI8MwhjAWDCLJMAmIkgp7D9Z5di8k1uKg7bSxJ8FXruajEcAVG6FZhYm6ZKqhmJnUrJuGbRuGbJxbJbLL/M6nJzh0eILrLlJctEWyY8sK974YM780wfXbJVNNQ8XvE8gAqwRxIhHWEichK90K80se111a5ZqdHR56qsL6KUGt0uC6nYafeucSv/0Zw4unGqx2DasdxcKKZnayzlSzylRzgmYtYq4eccF1IYEX4+kYpRKkcMGExd1UUaQ4t6CJYkUUK8JIMYzS51AyjCTDUDIIJcNQuAA1FAxDJz+GkWPsMEw1feS+PwhhEAn6EfRCQSsULEeCYRiC7XP0rODeZzSPPr+b217BB+6754/6r33dxKf//Q/9TuKt+2d//wH+07/+50w1AvW26/a/62N3r/zJf+ucqMzUZ3joec1rr+3zH/5Jiyu29BAlcEtpUSpzSiyesnha4WmLF0p8T7iL4AmGviKMHNCjyBLGiXNF4tKRQJxYksSQGJzeNuTgFgKUBC3B8yDQgkogqAWSek0xUZNMTQjWTcdcsKFHo77Kpx8Ouf/5aVYXm1y1TXHBRo9Ltg5IxCpferxG3dPMTSkatQHPH4LdhzVXbrX0hoqrL4m4aofl7JmEhRWf/qDGm2/s8OBzfQ6cUtSrksBvcuVFhl/+wSXue7HP5+6bZaltuWBdwkpLM9lUTNQ9GjWPetVSCQyBbwh0glZOasm0tdJaXMLKCGIjiRNBHAuiWBLGgiiSDCPnvISRIIwsYQjDKCGMDGGJOIZRdqQuTQbuSNAKJasRDIYhMupyzfY2v/CPV7nt2pCHnovw9YOVyzZd+2crxy75RzGzf7lw9APJ3IU/9vcb4FEUyeNn+t+z++CZ33/8xTOVKNqKiUOQIXc+UiWONO+6vc27b+8y0UxQvQQlDVr5LojUCb7WeJEm0IqB55hm6ElCXxBGwl2cSBHFEEYuQRTHhe0XJ4Ykce5CYlOnJC/Icu6Mkk72+FoQ+JJKIKlXBc2aZbJhWD89ZG6qQ2xX+cSDkg9/YYZ1lQpXbRNs2+hx4SbDBRtX+PTXLMvLFS7doJhqQqMWMX9Ucm4lwN8Ow0gwNyGZnIQDRywrbcPZxQqXXFjh9us73PlAhZkGBL6PkpNcuUPwY289hyfP8dcPTbH7VIX17Yh1kzETdUWjqqhVJdVAE/gQeKC1c5ikAClKIMfd2ImBJBHECSnQIUosYQxRlDhSiAxh9hyZ1HbMXBkH7n4sGESCbiRoxYJOaImGQyaCNu9+8xLvvr3Dm643hFGVO65XhGHAaudIBav+yK8lGun9dxzP/P0E+Af+5DPEifnBO+978b/s3X+iOV31GQYwSCqEiU8SR3zpcY+vvVjhzPIy/9d39JlqxlSCmHa3glY+nvbcESaEnsYPnTQJI5dKd4wjHBOlrBTHECWQJM5JMMam1YY26+FMwe0A7gJXgacdQCoB1CqGRjVmshEzN9lndmqVh/eG/NldVfYdmeTCCY8dG2DLBp8t62HXtja9uM1je5pUlcfclGKyAZONIVMTMb6vEcLdXP2hz3I7YrVnaXVjzq34bNvQ4BWXnuOux3vsO9WkFkR4ykeICXZsVnz/6xe5Ydc5/uyuBo+9MMlSV7OuGTNZi6lVJNWKIvAEgSfxPBerKEVqHzqUW1wPqzHkQI8Tk65uqbUYG+LEgTuOIIxtcUTOlRmkwO5Fgk4s6MQw6MeYuM9Mrc0//c5l/vV7etSrmla3Rhj5xJFHFGtiowhXjjVNp/I7onKzf+D5z3z4kqve8fcP4MsrLZSSP/KBD3/qV5fnT89snVREiWGYwCAR9GJJTwYMlWZ16PNfPu6z59AKb39Nl9uu7bB+NqTTrtIfBvheTOB7DENN4Dt7LwN4FEnC2C27UZx62gmp9UfK3BJjKcDtkpQpc4NWLmHie5aKb6hWYhqVmKnmkI2zbeZbPX7vsx5femKa5ZU6F88Jtq0TbF7ns2WdYPumAdpf5WP3aw6fqLNzvWSqIZmoJ0g55NSCJdDO9rRWEEaaC9a1eZyEdk+x0rbML1fZuaXCd9zW4i+/6nN0PsDTEUJ4GFsniiXXb1/hgve0+dJTPT76pWmePFpn85Rgtp5QryRUfEHgCXzPxSpa4QJnKfKaDIu7yYzFOS2JA3wG8jhxks6BHcLE1bqEWfIoFvRj6MSSbgS9yJD0hmyZbfPa61b59tf0eMuNCZ6osbISEMUeYeQRxQ7gUawYhg36w5WZ6Y3991967TtVv9f+YLX2P6em/H8KwNvtFp7n/eN77n3wV/fs2bOuERi0FAxjix8J/AQCaakoQTdW9GSVVuTxsXsr3Pdch+subfOe1/d4680tZiYD+oOA/tAn8DzC2COMdB4oxbEiSiRxLIkS4erDE5HWiKda2whyVWIdc0vhkkUqTRb5niHwE6pBTKM6ZHaySz/q89XnLR+/d4LHXphkyve4crNl47Rk/YzPpjnJlvUhF21e4bmjfT774BwTSjM3IWjWBc1aRKuX8IWvVWj4FiEcsPpDzdtvHfL5R11NTKtrOLei2bKuwTte2eWxvR32HPCpBzFKCgdyU2MQOq3//be32LnxHB+7r80juyc5vlJlQ1MwUbHUfENFG3wPtBIoSZogc587Kz8yqVQzpljh4hTojiAgSgRRkgI7EQxiQS8WdBIYhoY4DKlXe7zjjcu85/VtrtuZsH5a0+83aHf99Fp5RJEmjJV7jhSDUNMbKJYO7F8X2kd/9aprbjXtVvtDzYlvPci/pQBvtVosLLWJYn7g/gcf/M933fXVmW5nhXpFpmxp0dKiY/AU+DEEEgd05dH3FCfbPqcfrfHo813+8qoO77q9z5tuHTA96RMOA4Y5I2iiFOhxooiTNGGTFAA3NmVuUyQWhLBpUOnqOLQ2+F5C4EdUg5BGtU9Cn688JfnzeyZ54cgEIgq4cMqycdIyO6mYm/bZMCvZNBexbUObEwsd/uBzdeJhlS1bBJMNTbMOzVqE8ELa/TqTDYsQAmshiiXTgSI2MZ3Ip9NLWGkrTi1UufyiBj/+D1Z5/38POLZQR6sovTE0cVxhEEo2zARcf3Gbqy7q8uKxU3z83ip3PTnJ6VaVeqBo+FD3LL62eAq0dOl8IUar6wxgjbvpEiNILMSJax6JEkGYuCRRPxH0E+jHljiOMdGQmUqfN9+xyrvv6PDqKyMmqpowrrPSClJQl4koA7hzboahojdUtDotllv3r9Oa/3zZlTfEqysn/5tSTRrNb938xG8pwAeDPutnm9/+6GNP/e6X7/pqc2Wlhe8prLVYbLpcOmdEx6lrIS1+IqgqQS8R9FRAL/Y4N6zw14/Wuf+FHjfd3eWffWeHy7a1WTepaNY0YeQYIo4LkCcZwI3EWIm1ThIUHT5pql9ZlyzSMYEf46mQdj9ioR3xW5+ucOTcFE/tmcQan5mqYN2sZXZCMNNUzEx6rJ+RbJiJ2TzXY2ZyhS89bXhy9yRXbRFMNSSNmqRZM9SrIcIbEgQardzftxaSRKazWiJiI+j0DZ2uZbntcXapyS27urzi8lU+dneF6rJCy8gB0mrixCeMJP2hx+xkhRt2dLnh4i6Pv/Y0xxYkf3bXJOdWa5xcCvCVpO4J/EyGSRd45kSeSRUck8dWEBuIjHBSMobQWEhiiCOkGrJpqs9VF7jrceNlCc2qJo7rtDoBw8gnjnUK7BTUKbDD2LlduS0ZSiySfq/FE4/dN2Os/t2du65d6ff7n/1WYvJbBvDlhX1Mza5XX7zzExe/uOdgMw67VKseUZSUAGaR0i2bSlp0YomUQMfWyZbEUlOCvhL0dEA/8VgKq9z15AQP7+5TD4b8o7e02DITc+GmPrdc0UELRaOmEcLJFZeVdLXS1paYm9RfF84zt8QgY148Inlir+bOxxq8eLxBGNdoaMVc1TJdt0zVrPPBm5rpCc3MpGDDdMymuT4b51a4/4UhH7hzHRsnNXNNaNYVzbqgUYupBkMe3u+WZK/uQGWtIIwlFa24dmefR5+fdIVP/YTVtsfiasD84hQ//tZ5Ti4u8egzc3gSEBEGUgB5DENJt6+ZalSYbNZ5xc4er72qx3tet8DeE4bPP1bhsb1V9h+uEwvNcKjoRQqV1/eUA880J2ANsbFYY/BEwoQfUiHiFdd12b5xwJbZiPe+aUjVl9SrHmFYo9VxbO0A7TnJOHLI1I50XrwzBJw5EMWCKFGsnG3z1XsfbO49cPri733Pu9WTz+xNbrj20r87AH/62Rc5tTTjHzn+2A8Jhv8lHi5Tr/oMwgSsTDOF7iEFKYsLdOJArqXTfF4K8ooS1BLB0MAg8egnHr2kQqeT8J8/NoWNI9bPDbh824CZiZh33d5n27qQKBKp3pZQYm5S/SmlQUjBJ++r8tyhOkJrjp2ucWq+RqWqmAgEk3VLs2JoVqBRFUzUFM2GYqqhmZmE2cmY9TMDNq9rk9hVPvlgk363ziVbLM2aolGTNKqGRiXG80K+9GiFYU/irQOZgimKJfWq4s039XngaUN3KOn2E9o9zWpHc3apxmXbG7zr1W2eerHGseUGShogSvWyR5QohpFLzHQHmlbXp1GtUa8OuWzLgJt3DThxrsXRM6toL+HZw5q/vLeGUK5wjfH5g9YABqwlChMuWB/z7tv7zDYTdl1gWT8DSewxDBvEscdK2yOOFFGi0zjIAToDuIuJZB74Z0CPYmfrRqk9GcaCyCjmTywwM7vpvzzz9KO966/d+eHjR3aH27Zf/ncD4O3lk1SqizuPHTvxe489/qRs1ry0dkTipdGdEMZp35hcj8eJA7mnnA/rJU4DBsZSSawLcowlTARDIxkmktB4RAYWuk3ufc5gSfirxyKESNxFsu4iQWqWOC8wrUiUSKWII400Gk9LGgFsn7PUPUMtMNQCqAWCelXSqDo5NNGQTDVhZiJmbmrIprkOCSv81qcqPPT8OnbMwFQtZe+apFGNqVVD6rU+1WqNQEmUTDU4Tg5EkcegL+gPEzpDRXdg6PSNa5mr+5ycn+BVlw/5qe+a5zf+UnN8NUAIg7URJrGpOyEZDF0Za6OvqVd8atUKtaBGJYhoVEOuvyTE9yJuvCTmvXf00CpOk0AGIeyoKE8lnTESISSBpwCfwVCztKJd3U6SxTypLEyBHCcO1HEe8BfOVhyL/HWY+e6xSFkcjHU27cF9T8qpCe/3Wu3Bg+Fw8MK3Apv/wwD/wz/+BAdOmGp3dc87VxYPC4GrPAPH0lYJl4bPa7ktUoFKHNi1cuytE9f7GGcRfSKIjS0ie+P0oTsEoZHEVpIYTWQCktT2Kj/yLKUALYTT/AoqVUtFWyoqIfAg0FDxLdVAUPUltaqkVtEO4HXBZMMw3YyZmRyybrrLpnVLfOBOw0fvWs/WScVsw9CsKxo1Rb0GtWpCoxpxZslw6ExAxXc3NGSVfoJBqNm+wbBhdkB74NMf2JTFJasdTaNaoVGb5L13nOPwmbP80Wc3o6XGYkhMQmwsUawZhop+6IqiehVJbaCpBh7VIKHVcTGG7yV4OsHzErR0jRJSunS+SA9XuiIAkYJc0DJplaVxcU2SSIyRxKaId+JEkCQO0C55lGZKkwLY2RHlQE+vb+JudixUA4W1Ac8/97x4xQ39d15/zfZDzz3+qf7VN33HywvwC7fU/ZXV1Z85cGb+Z5aX+nKy6QPOf1UKQCIwruxVWpSwKOPclFhmYCb3rJ1d5TzZJMu6GVf+mafZ00o55+WKPFAqa273HtKiLQFaGrQkrWkBTwk8bZ1vrAWVQFLxJdVAUa0oGlVJo2aZqCdMNmKmm0Nmp3psW7/EY/uHfOy+TUxVAtY3DM2acOCuSuoVQ70S06gNeWwfPLu3xsVzNtW9Rdq8P1TcuMtyybY+j78wSW9o6Q8Sun2dgtyjVqlSrUzy3a9Z5tn953h0zwawCmMSVw4bW+LI5oFbf6ipDSzViqLiGwLfI/ATAm3QOsHTrsQ4K4OQ0hEOwiKKtpJScO5KiE3mSJnMfi1ZsRmwjcjBnmVJEzMK8DhdoeM4JarYXVub5iU8JalXIrm0tPiLjz836Wu/8StA+LIBfNDvy8Fg8Euf+tR//1fRYNGfanppo0J6qoRINbdEJpZEukMllli558Q4He5OnMWkJybJs484dk5BbtJMXJascA4NpcszDvAioaNkmrFUlIq2XPYv8BWVQFENBLWqoFG1NGsJE/WYycaQmYk+m+ZWeHRfn1/6k/UcPznJRbOGyRo0q4p6VVGvQL2SUK1E+N6A1sBVQ3rKBdfZw114SRT7NKsRvdjQS+use4OETk/SqipqnYBK0ODCDRG//EMt/u2fSr62Zz0WhbGGJDHESUwYm9RfVvQDSXWoqPiSwLcEviLQBs9zfr9WaZ2PsjnhZKvrCD2kqX2bkohNa1mSFPCJKZ4dMcn0WaSAL72O3aqbJKSrdEZm7hpb4xAeW2h1FUt75/0t2+o//T3veb3X6/d+vlat/a3T+X9rgCfRKtYOfuXwvvv+RXf1RGV6wnfAS09OFp0bI5BGOM1tnEWYZOBWaSZN2ZylXQ8mObidR+tOgrHOq7VjB2MAT2V3Glg6iaKkW1G0Ik3LCzwtCXyJ7ykqgRvJUA0s9YqhUUto1iImGiHTzT6b5lZ5dG+Pf/vhWfYdn+aCaeewNKqSek069q5aapWEWiUiSkI+cncDqRSetChR2ITGZku5x/e/cYUvPxnSCQN6w6zJWtHpKlqBpuIHBF6TXVtj/sMPL/ELHxY88sJ6jJUkxqXVo9gVmg1Dw7Diyl2DQFDxBIHvMpu+tnnGViuDVM4bd2XJJYAXKU8gJRFcLsG5LWkgnwE4nTpg8uQaKbuTr7gvBWyTXm93HV3p2wBXYvHi3iOVv/78vf/y295yh1hYav3s3Mzfzhv/WwP80KEjYO0r9u15tipsSDVwei2L8bJgKgNoYgQqEaOgTixGFcAuM7QxRfuV+3eEq6PIQJ2d+LH3lQE8q8HIMnkZe2ud1Z1IPE+6+g1fUAnczJNakFCvOnA36yGTzT5zky0e29vjlz40zYvHZtkyJZipl6RJRVOvuPqVaiWmGoR43pBTS1N4SqCkSW25IshMEkkcKzZOWeI4oh1V0k4ZQ3+Q0BlIqj1FxffwvQqenuDSLTH/4R8v8G/+GB7dvY7ESAfwxBLFScrkhmFgqISSga9yCeZ54Gkn0VydinOvZOaNp8/nwbiTK6RJIUSeHDJpcijLFidJKWlUqncxSSZD3fVz5QGlwxYlBDb9+XAY8cQTT1WvvuKiV8j/gR0n/lYAf/LRL1OvxLWP/+Xdvo27jiUkhXwwBVMlBlQGdOXubiOFA7QufVhL6QNnMqR0AjI5Yosb6HwPKYoiKilJfXeRpq1l2iiRyROoeBD4hmrFUg2cfq5VI5q1kMl6n9mpFk8eGPALH5zi+WNzbJpUzNUNE1VBoyKpVRS1qqBacTeHS/WHPLpH0B34VBTpTeY0eNaEkBhBFGvqFcUtV3R47MUmvcjJlP4woddXdAJF4Ct8z0/18ySXbTX82o+e431/CI/sWUdkJJExabN00YM59CWBbxx7e0UdvVbZQSpTChkn0yzv+UCeJYVsBvAU8EnuvDC68mbSMhkjMJP1vtoSedmcvLLrLqTAxl3uu+dL/pXXvq72qb/6Qu87/uFb/+cDvL1yhMbkpsknH/7rP5iZGLym103Qyl25QhenwV/+AVJgpyDP73gDRonzs3YJ0CYHdtEUTKq984shXEGRkJn2Fzm4HcBdI7OnHZP5Hq4TyE8LrIKEaiovGtUhE40+U402zxwc8gsfnOLZo+vYMKmZqxkmqlCvCOpVRa2qqOXsnVAJYhq1Afc/67PaqjA1VaTJM8CYVJtGiWLdjOKOa7rc/4RxXTShKYFcUvEkFU/jaR+tq0hpuGyr5Vd/9Bzv+0PLI/vWERlNlFYAurJXx+RBJPPqQl9LtE6LsKRA6ezckL+/7CbMpIrIqtIoJOf4YUrPxpSeS+BNzFrGzn+eEVqJxEx6Ydu9iCMn2q9pTB/74/d893f8xO69R1cvv/TC/9kAP0O3s/i+YffQ91TVPF4jSN9ctnSJ/IOZtNgpsQKjSmWapTs+kx9JLkOKu3gkkBxn7hTpWUYu194yq6ArdHdWMagVrj5DWzzPNRZXfEPFT6hWYmqViHplSKM2YHqixVP7h/zMH87yzOH1rJv0WFdLmKjZFNwpe1ck1cCxfyWIqQUhsRnSCQOEkngZg+caPL3RTeoXRx51f+DKBcIKUxnIBwk93zF44Es8rfF0tgGt5coLLe//iXn+n983PLJ3PZHRDBNBmJiUxQWVyBB4Ft9zvas6jTu0ciXCSsqi51WAyJ5LhVn5jVmOdcbAnZNQiZgKDHwdUBtKz1k58+i/O790jlgc/p6LL37mUBhG/+Z/KoOb4QmEv+WC5772gasG3dM06hDFsWPnUoSdM3QO8gLs2bix4k4X+QfKLKM8cs8/aJGVLKxuW7B2OajMltu0Q0elwZTWaWdQWoSUVQ9WvCTVzRHVypCpZo+JeodH98T87AdmefrweuYmNHPVhImKpZGCu1pxdmIG7mqQUPFjmvWQPUct9z1Vx5cST5k0iCs8iiwuiRJFbDS3XR9x8UVdDh2vMlej6HMcJvQGKQtrhdZe3uUkhOWKC+DXfmyRf/OHhgdfnGMQVV0yLLbU0hruwMOBXGerl8l7W6VK8hVOSVECuCiBnDV6pQC5HQV4XqFYrLy5BMnZnPx31gKcnM1NGpQOY8mho2e4+94nrvrpf/ljFzz74ulj11yx6VsP8EefO8aj+5sXVs1Xf5Pk5LfX/BW0DFxhfCJJYgdwlwwos3Tmo9qx59ElrbCjSpF72SVZ45akzD0O7iyRlGZLlUznp6TM7WuD5xkCzxD4MRU/phKE1CpDpid6rHR6PPAC/Nqfb+C5g7PMpuCerFoaVUG9InKv3DkvxrG37wBeDYaEScKgX6Gi3E0mhRip5MsSKS7Q1E7L6yHD0NKPRAngBt9P8D2N50m0Uijp5QBHwNXbBb/2Eyv85/8e88jeGU63mgzqksnE0ogtlXTiQODZ1PvPnBSbs3cmVTKA5+83fdNlnOcKMb0oNr9WpfLbkqQsrq0dlS+WAvS2vJoXeY84cRnPhVafufmlb3929z3Jq2/a9S+t3XdUiF3fWoA/+NRxkMs303vunTdseoLNs9OsdCQqmy2i0iq+1NMuImxRAnQZ7NlybQtpMyZFygDPTnFZFWYXwY17KOpcslKAYjiQK4v1tEnHTCQ5uAM/Bfd0l4WVPr/6kRqf/doci90p5iYkc5UU3BWnu2tpYFkNJLXApgzutHclCIGQe57xWYl8ZgJG6rERoytUkrjmh2aguf26Ho/uC+lEARN5x7rBH7padV87gGtlUdJDSJegwcKlWyW/8c/afP7RPr/yofWcXJyiP6mZ9AWN2FCLIYjc6GVfuYFGXhZoSpEHwdlzOVAv35hC5L0i+fWBMQlZ0tHl+Cn/uhSXjbB2FqDarNPIlepGMSwNfB7dvZvv76t3Ah+B/tFvKYP3en2q1cold9/3wD9/5qmnmZ0Ez4sJfIkUFiWz4TkuTWvyFG+myeWIHDFlvZ7Wa1tsYUONs3ZZlqQnOmOWLN2cuQAqA7hKa8/T7J2n0/5OL8H3Yip+ROBHNKp9tO5x/7MJf/yFJnc+tI7QNFnXFMxWnCxxFmDmk6v0EClzl9k7QushD++epBdqNtay9zPO4FmQLYliRcVTvOKyPrFxAO9HwnWtZ53rQ+OCQy1SFnc3skiT6xbB7KTge17XpRGc5kNf6PPA7hnORlV6FUkzttS1dSDXaRyibBqX2BTk2TkURe24dHno7FyP7yhY5DyyVP+4Ni93D5EzvC1LkTyJ515nCSIHcNdBNEwE4SDgS/fu58L1N/7zXZd+29PDQe9AUPnGI+G+IcDD7iGOH/4SfmVy0+b67tfOXdNiou6TJA4oApepVGltgpaSxJqUzbNUry0FnyK/wCNamwzoZWCXrIeyfSXsmDTJsnKuYtCNdjNpzXcKbuVqMQIvwvcjKl5IrTbA93v8+V2aX/9v6zi0MI0XVNjQEEwHCc3AUg+gnnbYVwOX7aykCSFXv5KkK4GTJ4vthG7o4yuFL20eYFL6KNmNndVuhLFH1RuwYbLPaq9BPxLpuDUXK3hektp8KrU7lQP4SODqKh+//dVdbrx8gV/7swEf/dIcy3GdXuBR9yRN7WpwAg2+Im+G0FnSJ135ZC5VigRQmVRGxcra5N74CpwD3pRAPea85Emhcr1RCnArLP1BlT+/c0igDr/2pmvUpqXl1oEn95zkhsu2/I8BXBBz0c5bL+ytPvcBs/oojYk0ISDdSXfyQKGkcrUlKpUoicEoOSZN0pSvLeod8g9PEVRixXl9boEt2ERmxVvlIUEWJQ1yhLmTFOQxvnaSJPCHBF6fo/Mxf/T5Op95cIbD81M0ax7TFZgKEhqBTVPvGbhlCm6ZJ4UqqfYOfHfjNOtDPv2w5sCxKpV0AlfeLkaB8nyMQxqzRLHm0gvgbTd2+OMvztCtaZrp7JEgTOMGZdBapmPrKIHcK1GqWxW2zUp+9vt6XLX9JH945zSHz06wHFfpeZq6EtRSoPvSuhsndZny1S87r5l9iNPnRabTrvXJM2LKSifs2liqzOIFyDOnLatDSovqEghNyt7WfX+p7/Pndx/gksuv+MDtr3/NW84ttb+hVPm6ALe2D1QYdL6yJYke3NGsHMbaKolxpZJZdaCSllgalFR5MY5REmNMylYZsBkDeYm9rchZID9ZOW3bER2YATuvTsxmqUiTuiYZeyd4OnadOzomCIb4ekgnCfm9T/h86PMbOLU0iVFVpicU075lwjfUUuau5el7mdappNIk9c5zcPsuezmMQg6cDOiGAVNB6uJkSafMlciysLZUkxJpmnXN9i0hKhjQCRv0fUE1sgwzgOskTdQo52PLrAT4fMGrYm6ix49/e4933naWD32+zR99cobFfp2+rlDRipoWVJUliK1j86xGXxblDVmWcw2Tcx65Mu6wMMrkBbhFSZ+nyaC0BCBL70eJIDQwNIK+EQySzIlJOHXiLF998MkdlQpb3vPWW492ekMateBvB/CDRxeo1yfmjh6f+MQff/Q576qtiu9/S4eqHzAMPWLpIVNwC6lQMpUmphhmaa3M2crJkhKwc4CLHNDnz1Dakh1oc2CPyBOZVsmpdK6KTtAqwfciKn6I74W0BiEPPyf587uafPLBGQZJA9/3mfEFk76h7ltqgaXmF+CuBJIgkASpNHGJodSZSAHuey7zeeSM5YEna4SRR1C3awLM7JGnudNS1DBSeJ7mjhs7fOwrXfadrNOvuMaAoWfxY/AigxcalJLOt5ZuIGk+3IdiRUyMJDaSWqBZP9nn//nuHpdtG/LRuxo8sWeChX6dgfLxPE1FC6rSNYF7yjo2z6SKKKRKEXjaUiJo5BKNMHq+IpcY3I7Lk3K6P2Xp2LqWuYGBfiIIjQM20ZCa3+OH3rnM1ds/7736ihs+EUfL15iotfC3ZvCLt87KBx4/cPPvfeRrE5/84nrmJn2mZk7yva/vga0ihSUWGiGMA7dUeT9kIUvkmN4uHRmwR0CeMkSJwHE9Oo7J85Syycs9ne62aJU4gKsklyNaR7S6EQ+9IPiTLza566kJllsNZLVCo6qY9CxN31DzLDXfUvVJWdsxdzWQ6fxEQcUnrdAzKbgNgef0t9JD9p+EU62KS6yk+nY0cVLUz7g+SAfy2EjCULO+Kbhka5/nj8f0Io9hOuPbD3HgU9lk3SxRA+N1GmVJ6Oq0XX34u+/o86abVvjq0x3+9EtNntjTZKlToyV9ur7GVwJfCgKJ6+GUFi2yuCadQiDSst/zMPja+pXyjTea20hsFouUmNtCZAVRytxOllgwESRDGA74ztcu8b739mh6TVqr90yck9Wb/foVX+TrDA/6ugA/e/ZsMDdhf79hTtVnZySnVqrc/UiNt9y0zEx96GoG0oH0iXFF9CoHeNoXaeRaYGfsTRFI2vz/SmduRJpYygX6TpaYVHMblEzcQPzMzZARC52Y+5/UfOGhBp99YIJz7TqiUsFreDQ1THiuk6fqkcoOqPoiPWRacprqbl8QZOydAVzH+H5MxQ+xNuKepwKOnakyOy3wpEl1rCgafUtsl5efppKiP/S4YL3gjut6fOZrId3Iox8JKp7Fjx2LDyNbWqVU7lcj5IhMsfnKmTYqGOe3V4Mh735dnzfcuMRfPdjh8w/VuP+5BudaNfrCp+9rtKfQQuBJgSclnrCp1LIoREkajtqH5yHztcFmVn6bgTtl7OyI0qbn2GYmeQwmhDBk3VSfN9zaY66uOHmmweP7WvXLr5e/X+2dugzo/40Bvti2JPHgewenH5n8zjcc5Vzf8OkvaE6cVKz0Yd1UiBeDNGmQaSTGKBKjSqwtR/U2owDPukfsGmEiRgPKErCFMKnuN4gU4Fon+DqiUokYDBP2nYKjpxUfv3uCLz7R5NxKHbwKuulRU5KGZ2loQ9WzVD2oeA7cFc/NJHRlprJ0iPTnNgW5yUHue6497dBpw/NHAvC8dJm3pRS9GEFBWZcmSVoznbhxzlduH3L5li57T9XoVwS1WBBElqEitfZMyt6Zm5JZkIVWKQrd0njIqHT6gMcg9KhWh/zgm4e8/ZZVvvxkl7/4So2jpyvsPVUjXA2IA81Aa6RyU30VoNPnjMlz6UIR/I8/yvFVBmqTvo5LGjzrxjKk2R6bgI0dwG0Eccx0LWbblojaVMiTD3b54CcX+S7zLNNT1a/H0S8N8G57VYRR9FN/edfuyenaEtIakHV0kOBVLSJI0FGISCxCqpSp1QiDZ0yS2VgWQdEMXHS9j3WapViwJc3nkhpOkph0l4eEIHCTVOMk4ewS3H2v5tDJKvc9VuXUSpVDp+sQBKiapqIVdW2pa+NcBM8Nzq94blybA3F2yPRQKcBJNXcKbi8h8Bx7uxsr5MgC7Dlaw5Oj9mAuUSjqwfOgK3NSTNbT6HH5BX0uWdfjhcMxvdijEQmGGvzYzQRUJYBLKfINAjImhzELLpNBWd9koogSj6Hn06yGfP8bh7z6qjanVtrc87jP4RMBX36qxumlCknfw0hN5CuElG6lSLvyJWnGE3LZwtgCXC5ptiVZ4p5t6rikbG0zYGfPJZAPDVHfEoUSGKK8Fa7eZZmtPj77ltt/6p/326feX21uPm/49pIAf/LRu4jjhONHVjmuAn7o7Qt822v6PLvP5+5HKtxx3ZALt8T4JsREblRDFmC6TaNcd3vWxMqIJMnAXpwVm56R3OceYe6SFFEJXpAQJZbDJwTPH1bc/ViNF4747D5SpT0MGIYBeD6q6REoQU1BTRuqJR840FmdRlY26+rCg1SW+L7C92V6A9hCe3uJyyx6TudX/AhrQuaXJUMboLXElxZdstnGCLyoe7aj/Y5h7CHQzE2HSDWgG3n0tHBOR1QUjGllRjKQUpSi2GzYEYU8zFrLssFIXqLy8RO9oc+GqZBt6yOuv2hIP+zzj460eOGoz92PVnj+SIXDxytEsYJAYaUCIUlkKRtUTuaPAXwku5U/Z36wKcBNWjiefW0SiAyahAu2x9x+/ZC9RzSf+GKV0yse77jN0l0N6/fe/9T3CKne/zdi8M7Zv6Td6asXXzwivvf1A7ZuNFyxK+Z01/DwExV+7v2TXHFZxBW7Qt5405Dbrw0B19harVmsST+0kSRRweK2zNqMBkeudsp9eCFd3QjCIKQlCi29gWP0oycl//2ugF6keGZ3hYMnAha7PsPEB+2D8lBNhS8FVQU1Zako3DgzlRYeKcfavidc0qMMbk/ip7Ik8CHwSV0TlzL3tMH34jQjGlGthJxbSbj7kQatTsDUhECnXnxW9CVeavku1eokRjIcKmZnFG+6ZcCXn+hzvFWn70knUzR4scWLMs869dhl4uxCyrNOZP43jNWlv+GA7ieKRCtiz419iCLPWaleRN2PePWVMa+4bMg7Xjtg/wnJs3s8+qHio3fXOHLWAyHp9TVJqLLyTazOlt4xy2gE4JkPbPKvRWwQicWmYK/WEjzPIDDcfl3IG28ccvmukKsuj/nsVyvceU+N0+0aLxyf4JIZzSUX7hdbLrlS/fof3x2/74ff8M0BXAjLRLPye5duO3K1MItMNge0OpL/9pkKf3FvlXZfsfCsx8PP1fjE3Qlz0zHWWq7bGfHu1w9cw3ACcxOGa6+MqFesG59mRZ4DW3vNs90dLK2e4NnnNEttSbUieWyPx+cerDCIFINIceasjxGayHoY4YHWiECjpcRXgoq0VFJgB8oSKOtqwHXq+eqCuf2sLzMHt0p7NEXO3r5n8P2sQCvJ2dv3I5QKufdpxWe+1kD52tltI/r7pRk888KTvDNdMRh4vP3WPp99uM1H75mgG1eopzrcy3R4lCVlbN4tJITMAeb+lCxp/RLATTraQTsm97Qi1hodJw7oKkEpN0h/qhJz666YW3ZFWDHkXa/rMYhcjchfPxjw+B6faiBYbCuefcGn3ZOpShLnvcJFEsCl8esVw7XXRMxOJq7xJbG8+/V9rt0ZYQ3MTRmmpwyesEgN735tnz0HPP7gUxWOnhUsrBqOdXtX/8jV9d+z1v74N8Xg80ttomqjefbQB3fFvbNKmBadMOGzDwX8xw9P0h54UJEYBEML8y2P+VX3xvcft3zu3qbTVollYspw89UhjaqrCV4jtscATuo6rHYVTzzv024ppJZuJorVjpmEdhv3SA1SI6XEk8KBWVoCafClA4KvwFfFjD4HclE0PGjXCJA1HpfB7Rg+Lav1MgZPSkdMoCOsDTm16BMOKwQTEj9Ne6u0Km8kiykodKktMrp5d7pRhJHHVEOxdTbEFwP6cUA/FlS1G4KZ1ZBkCS0ly+WtMv9b7m9kEtEUSRZj0p7JQhrFcZLmDVS6/1FMFCeoyOUStEqQMmbLrElXDMNl2waEto/UhlZL8MTzmtWeROWKZTSoHrnS1tWD1yuWV1wdMTFlsLH7b6ppsimf0ZJoF4hGhmZg+Ll/1CY2gk8/mJCgaQYDNRmc3fVP3vt9zZ/+Ryttqae+PsAPnVjE91bf/77fWHrdY09V8YSHxdLpawahdgUMI7qreMTW0Mr8Pmlpr1rO3FsvfcTzJ+DTZSO/860QmGzLBdKaU6GKIEfK1MrKQJ2mnSXpxq2Zb1x61mknvSLdeo8c3K6tS+Gn4PY1eYmpY/CUxbXBT7OjnhcRBBEnFg1/9uU6aB9PiiLAzOWJWMPg5UxfNiTUgc0N1gkjj/e+qc9f3d9n93yDbuJRi92mtK4K0BadOCrLCZSCvexc5jUgslTglR0mr4XRWuElbl6KlwJdySJp5urG09fCpIODErSwCJswWzN826sMiCSVmYDI9s84zzUv1xgZhYk0WVxmYsFwLPEncLFYbAwNP+Hf/+M27/u+rrsBYqhNTLwuGd76fmz8T78hg//On92NksLfe2iFlcGsi2RJ3A/9jIlkwUh5cJPFy+XXlsQrATs3u8saLfs3M4CPBi9CyrwFTQnwhEsrB8JVC3rpAE83yDNrqi0VEqX3ZFELnTbhpt0tBcBlLlsC3+Ytbb5vSoNzYryUvX0dIWXIsbOChXYFoTWBZESeyPLHKl3usnQYAV7qdISxx0xzyAUb+uw9O6SfaAYJBInASyxeOjDJTQlzzlKRQlcjnQrZKXeTdrNudlGSRgadGBIlUTrbvlylxWoJUpl0pTCFNZuCXGR/G5NvP5O5Xnk8JYrrX/bqx79bnmlTvB69QYQwxLHLhzQr7sYNpSbqL9A68ym3e+83AvjyyeMIAVXbp17x6Cc+pjQObaTNYzxiHqGorydHSg8h3LKa3y8CSZEidlOpwBMWT6SgTSVA9jr/Xkr2RSkoeYOtr4QD+wi4pXv2M6BnwWcK7qz7R5tconja6VPfj4iJ+PzDVeYXqngTCr9cw1F2UBhb70ZS12IsCFQMhm6C7Vtf2eXh5wa04wo9ranGhjBNpytZFERlBWduPF72l7JAUzCSIjfpTBULiXJ/UxtBrAQ6kekudq6WJ06BXiTTTJ5gk9KUEm/pa1mAO7N2z1egtQbydvynLwWVgkSd9FIMQ4/uUBKvLHC+1WIE4A8/eDdTk9VX/cYH77vx4PElqhISBLFVI/j+xm/lm8B1dmTJAgEqexYWDbnVptKUsZtvUmhclQFbuv3ks1EIZWDnc1AUrh/xfADPAs5Md+tMlthUb4/WkvtehO+FnG0ZnjpYBe2jU3miSwVKWbZPjCHcuUmlqru8lU/mnngUeVx38ZCZyT6tlRq9WFFT4MXus6jEzZZRURngjuWKCgc5Vqkp0pLVtJRCGRIj8IwgUZJEGRIliFOQl4vXsnIImYG8BOqsZMJNMCtZvaWJWYVE+zqS5RsBhlFD2VmsijiCVjh54zB446u+es/bHrrj9tedH+AbpvtUguTbLtvRufZzj/UYmAa+tPh2FNjnq0X4poGdKpRUjKT/rs2zYgU4bM7g4yWcOquNSGvAs1JP11ycdao4WaLy7pUC2FnzrWPvVHNrcr2dWYKOsQtwe3l1YoQg4s4HAx5+oYEMNL4Ubv52XkFYtNEV5248mynyaktjiguWGEV/4HHLFX3e9uoOf3RngzAJ6CaSSmIZprPVdXnFECaVc2bshnopJgejZdrxLnJwJ0qilHGMLmU6WiLb8c6UAF4CthwtoyhkSgpFUVz8/xFyzPV96eP52pCYRZ473Lm2NtX9NmvDh8r/TQ5wMzyK8JpvWj352e+7/uIXmZlsMt+GicBpWzlesvo3fXMjb7S4SfKEDgUY8hRwBvLSaIOMud0WJNnXpAxO3oY1wuJpN4ynRsHtximMMXfas+mn7W2ezhoO4tIRERLxF/c0SWyAyrOX5QCz6GvMnI0RDc5Yu17aIOJm+ymSRCPwePftPT7y+SGrJqKfVOgnAi/dIUMlKchikRedObtwXIvKkjUpRiv5dDqzRKUg1xZlnFxxE8hcBaPLHsu8NLmwKMvVnUUZc7aTxhod/vWY/OuCO8NRWsKRlmsEOqYzCPmLe07y6luWv+8n3vOG+57fe+rLV126eRTgrV5Ioz64+M5HOzt++08kJ+brNHxLNZUBUjCy3OS1zd8kukfYP/texuSC/I4vmodHX49rzgz05dkeSolCi6cVdyPDblJgayUKJyW3A13HvWtMtilzFwGmLrF34IU8dVBy4HQFqzyUlPjSoMfrNEoCfNxFyY6806lUUpw5KlHssWNTxOUXdfna/iqR8unHgooEL7HoWKTyLe3CiVMdng08HfmTosTioiSNspaxzF1x9S7ZeD2VSr8C3FktkE3LBDImJ189MnDnJRbjTM4oG3/zIC+RrLQY6T7jhRsT/u/vOoapntgxCPsXa9X/cvbf5AB/8oUuE42EB5722XNsjnpFO1uqpClzgP4N6VtkuiQf0DtaOF/W4eVlXeU134XtVkgW4brnRQFuF2SKvFtc5+CWIwAvD/9x3fbkwM6zlTlzJ/jaJXZcV1CEJeIv76mxtFRFBNr57uWbcLwGpXSjj85tHGXVEW/auE2bZqcl33VHh6cONhkmFXrKp5o4LZ6VsypJCu5srTCpJ54V5gLIkbJkO95KODLJV6JMtiLZ/LUDshzR4iL93A7Ucg2DF/Xjo5WhOR7+Rlgq1aKnq0acSDyluXSzxptIaARLGN3L/4sc4H/xib9CK8mp0y12zEgSTO7o/W019+h/N96VMy5Tijt/HCTF5KWiKbY8czAHeM7imVyRKD0KcF+nA4C8bOvANMOpLV6eijfp62Tk0Mp17uw+Bp+4q8FQ+iip0uzl6I04nsEcP33lktJRHZ5q8UQRJ5og0XzXGwf8yRd7PHe4SqQ8elLiJyZ1jwQysaXz48aelR2HDOR2bN+iMpMnBnRuIbqJvyotCVCJLYZ1phNpRdaoLCAe0+O57BwDeDF1eJS9/9YgB5f4s4IwrtE/d4rk4F+VbuoU4HsOnubSHRtrv/Qf/+v246cWqQWlTuhR8hm9Ot8I4EXy7jztTnZUoowFZqMSReTAGR+HLEuMnQWZ2dQmrbNNXlPtrcbAnaXvvawx2biZIXmLWNbTGadHhPJCDpzSdEIflE7liR0rjx2/cUcRPjrQaMwLT7txisSPpu4Jdm0e8NyBkMQE9I1PJXE12zrV4Eq4jVxdYikjEwN5zU920csVnq4eRueDTd33lIFEOsCrdHcKaYoJAdl0rSTr7s8NgCK4zAPPses9DvBCn3+zKC8bjCJv4o4iwTA2TM5ObX/lHT9eC3vf3/Nr2xzADxw5w+lzrTcGjdn3La4+h5/mSsvZ9TIflHsnXxLc57k7x2dsCFw+pwyEAthihMFlHmSWh2pmIKeokVYlUOev0ySPIvXCHbgdgIuhQF5ZnpTZW6V9nX7Icsfw//tUg6V+BRF4Tp5IO7KqFINzvv5lG5kmkM2JyRk8tcBiTbOm+cnv6PDVp5osDX1CqelLiZ+mtYuRD5kZUKqnF4asjNZiUnCbvNKzcFZEyuA2D9IzsCspUgZ3kijJXRRymVLo8KKdsNDiKajLr18CI18f1gX2ihVQ5HLLkx02b6y9b9h+9qEo7P8VpAz+yBO7qQQ+e/cdI44TGhVFeUfcsm7M/9g3w+Ji7YcoLy9ijO0yYLg5eSWwl6RJ1iGTA1sKtx+QHAe4s7l0Kkl0DvBMc5s8qPS0ycHt6az+YpS9PRXh+yEfv8fjxUNVkB5SSoKsNLZkbeYxS/ohX7KaEEYTPqV2M5MyudvkyePKHT2+/dVt/uSLFYwO6EufQIo86aOkIBoJ6EaZXJSZvFS6XK6JMQqUdauCscKBO5sSZiDJ56eIAuClZwdukWY0x92xURdl/Ouvy5TlQkTKcUQht0CgZUh39RhLniCJ3cYQGmDzjEcl8GhNaxbqrnvFjNzdtuh6t+5OzLPxX5eixlPVWWG+XTNQZsQzzgNLUbB5zpDfCOCyALgq1VDrtC7FI5cinircEq80HKjQ3I69Pe2mVq20DH99b4PFVgCV1D0RpWDsJSQK5YaAEjmc17bLByVJTJK5KZqppuIfvK7HZx8esNQNCJWmn8jUnhSpeyOKZmyZJ8FzYFtbdP2YnM2zjneBzpwVlb6W6dfSTQXOznsZ5EKKUvd9NsQzlSYjerzUy5muMucDuBB2JG1fJoTiuSCD0WxwQK3dQNUmiKMU4EePHGJ6aurCxx5/8qf2vLDEumk/7QApT+HPtA6lu3/N9SoYunTjnU+WIM43NFOs+TpjciXI5+blHeWl2d/lDhc33J1RcGc7G2TMrUrMvYbBs3ETxcgJrVzm8shRwf5jFQwBQuq8ObeoHizHD6LkahRXslyLUjC5KMkTkTsZebtZosFqLr0gZMfGAUt7q9jEdyyeOJmiSy5OwZ7lQq9UcGdltJA2F4hS8Imb3Z4CvRzbKONuGiNJtXd2XQoyysFtRDpLJdPkYkyqlM9LGTe2QPxY+t6ehxRs2pHvZssIBmHA0p4VrgzqP3X5Fa9+5tChQ0e1a/kabGjUzJsqus1U06c7iAkjt7uZSYS7k7PZ3DYNV76BDi/fgyOWYInVyqnsLCkyKk9EHlRmnStlYOfPinQUcNkHLx/pltaqDO4SyNP96r20NDRjb5V+rXWEUhGf/1qDA4tV8At54pWsy7WS6+uvcKNjzkRJT5Z2N8vKaEPNRbMhb72lx+O7a2A84sRpcS9Js7vJqFQqmLOw5bLA06arcjF8KX0t09cyXVVkdrhzn6QrhhQpq5tshbUlorKlm7yc37Ajq9naBJB4yfNUJtaCtbONBNyWhJ2+x/Ezi2zdEb2pPxhsGAzjo7pRjakEMdPNmNlJQ6fvoZX7jwGMIPdLR1nHFn/8JdCdL0Mj7L0W1NnX4wFaBmhxHmDnbK5EqQm3BO50PmGxbQdrga2LAUH5iDdtUpDHTp6oiGot5Gv7FH91b53+wIeaRkuBJ0alyfj7/0YW60hDQinYG0n4pCCPYs1EQ/OO2wZ88eEej+3zsXWPfhLgC/IbTeV/v9DBo16WA/kIO2KKG0w5Nk+k0+OmxNpZUG/S4FIaUdLfohToFuZB9hrSxBejwSclqVqclRFOH4kB8xKH0iYKcSLcnqoxLLcMy21Dp29p9wx6pRVSTzxOLUQcPW0IY7f1dpYtlAKMyNr9bV6RmPVUvhSLj3iV4wBfI1FGJ5oWwaXIQZPPy1Ol3RuUSGtTCnAXIM/KZi1aFyOUdboJk1ajQPdytnaHUi7A9P2QKEz44iM1dh+vgechpEpBlc4NKQWXQo6y+JrPn12wjDXTYN6WMpkO5DLX4pldGIaay7bFvPmVXZ49WmUY+yTSo28UfsLYe8m8cMYY3D3bsfeCym42g1EClU0/kAKrQNpCj+crqsymKqTXxhSrRj72TYAwY6v3eQhvNBs2ygLlnEF53F8+odi4/yrw4aLNkrmpBE9FVPwY/dkvfoJqRXLgyIA9R2HTbJJfIJXqMSf8QaZL17irMlLvXXq3ZedkPHM5wtxl1s4Cy5EAs9iBoJAmJaswZ+wM4MXk1FyipMztGNvmTK3z5+K1lwaXWkUEfsgLxwRffrhGr+9D3UOKrHKQkj14nixm6XOOs1I2F5bUgz5f+Wwx10Tl3T6NRsibbx3y2fsHPHs4AO0zMBI/1eLKuE12C5kAIsEFdkK4GQ3lrIYqln2tKKSLdGyerSpZkG+sA7s0RaJNmLKbkl5LUzD7aGzl/v4agI+s/KNO3ZqYZaxwzOJwUK9YLtoE82cfZu+xZ9AyQX/y7iEWibIxTc8SJxZPy+INpQmA/I+k8mR8bncZ6msCCFEAvpArox+8uOvL22mMM7jT2+VsplJphWFaUejaudLXujwffAzc6eFlU2jTAn+tYnfoCM+LiG3CnQ9VeeCFKlQ0SNfQ7JVKeEdKY8tH+YvzPEZmapOVs5I3IydWUIzCc0AfDjxee2WPt76qx4vHKsSxhxWKvtB4Cfl7EknB4sVbOD+Tl4fYK5WCRzo2d1+7rSAzHZ77/RmjZ6ttyuAFe49d41LAuZbF7XlNOQd0McbipYaR0rnWyhIlkovWdbiy0nHZ2cs3u+Exw6FkMEizf7J0caxA5hchA3ZJj5/nwo0GEeVnsRbgpbau8s4CI8AekSrlNH3pSHcsKIBeOnSxCWoGaK8E6sw5cY6Je1Yqwvcinjkq+cQ9DcAH6SGEyruIVJq2Lmddc9Yur2R5NFK6hKWERTloyjW4FS7AV+noh3yfeI21mnff3ufuRwY8cchNEoiMopeItOArBV2Ssna5TGKMiqy1jsXLQHfEngLKYmS6n0/GmJn2limbC/ecr7iZJMlH7WUgHG3fy0tqRRGvvSQRZP+FXUsM4P5GhKDd1QzjCkp5WGvQtYprCVNCInAdHeUU+8gU/wzYZe1dCjjztzmmvfMPUHIXRpeuErDTQ5Q87wzg+Zy8MsjT1rRisymbgj0bgF+Ae4S1S89ZY20mVZSK8byYKIm577Eqzx+sgueBdMGlL2xpcmw5sBrdxGmUvEehZUsv8gYIO+brlrY6MSp1VBLNMPS4YseA197sWLyfOBYfCp+BAZ2IIvBLMrvQ5S8KieLegPOc7VoZIMEqi7QCZXHZTysQVmCFk6u5VCk5XyPaW2TypQT4EfYWa0jwvADPcDaWHKP0nhPh6mnCSBIZiVIuU6uVcgD3tMT6CiVl8YHzf6w4+WVA21ynyJG3U7DXWMp6jTQZdUxG94gZqz8R5Hvv5LsXZ823Iw0PxdYlSo2BuzQUP3dPVILSJYCnEsXXEQfOCP70iw2GkQc1L5Un5K1pqrxLcNk5GbGLRrA9ctXseS+eGE1g2PNpcU09kPzAm3vc+UCdfafczZcYRS9RrsowSZM/CKe/k3Qsx9hKkl/LElhk6ZrLVKNLY7HSXSMrhQO4EUWslDG5KRyxUQlaTMKiTAAjAH9py2JUgxcZ9rxeqqS+pHbumrEW9Vu/+RvrK4H/n+bnT12abZPhCtxF/obKiYuiU7yki4UYlROZyyFHv6+ELEkOmVp72Tjg9FnJEctv/MhGJpQ97vxZF7rbOSij4C7v1VMUU6W7P+gob2bwdEgiQ/7kczU+8uVJCAJQFZTS1JSlqmw6joK8wdkrtcYVmdRyIkpSTIZlJEAtYonCdsxuWiFJG3+LXkglLcIatm4IObUoefJ5n1i4yQNGKIRwpbSjCZbRVTRfVWx5fREjq0p+I9riJshuirKcGZkDzqhfXR5ktWZe+BhgR6cOl46RXdiKIxuan+3pE8cQxhBFll2XXrPh2utv/YoOeycmq377Lc1qhMVzv1jenTZxAY8o9RCmwT8jn7q0ChfypBRcjrB3WZKUNXi61JVZe6QO3I5ob5mDoZAkqqS9Vb7TQ2kjKmXHJElWKZixd4SnI/aflnzsqzXc/BXH3nnnfvb3BSPjhYsWvNFAU5S/KEm8EXCYcm1IMVfQphN687HUiSJRqRZPNN99R4/P3Fdjz0kPZIgVkkHioUnrRbJznRRruRiBakk6ZTIUNxsre29ZDCatMx2kFbnultb9DWtSf9w4eWPWuCect7hujaQtA+glVruRAfqJO1exsenAKUN/MODoyeW3dAZHJ/VgOMTEEY2qxQo3j3oYuu3bkvRPZjZhufDqpR4j7kn6zvPhkJxHlpR1rBx9XQa46yLJ9HfpdQbkrNot0+AlcLuJrCZ9dnagUgaV+d0qRskYlcqTRMV87qE6ew4U2lsK6bzvvINm7OKVLtjo14Lxa2ZHXo82II944qWJVNoIV5siixR+GGkuu3jI21/V5dDHAsJEgdAkQtMXAp2k9h1ZoJs5KiWbkKIuxKYIslagbMZiTppYa1Mtnh7CFil+AUY64BtRWIhlKWqy14Y10mXclPh6j3KjSLb9YJxYotgQRglRZOkPYoZhRBSF6MATmCrMTsYkVtLqqlxvF6ON3deiLO5Luqf8voo3Oaq1x5l8NBgZrxwsPxesnX2dsXYG9oy5c6CrMpMXultlQWS2xYk0aFkMzVcqwfMiDp9R/NdPNxlIj2yCVtE1n64g5RpoUWbqsWXs61yoYvlO3YzM+spT9mUNLkbqUxKjiROPIIn5p+/s8qn7ahw6rUFFYDSR8OgLgUqKaj5ZDjbHQJ558xbQthSDIZDWpectNmXtzBM3I2xu079jpPtvRlbmcWMhO1Xn1eKjZDlS91Ri72zf+ySxRJFhMDB0+oZOL2EQuq1Q9CXblhj2F5nQi5xbnmEQVukPizdm0wjCGpHetaW7fdwGTL9YG0gU3xsH9jjI802bxlg7S6SMgtsUEkWOMrge8bdTMI/43aVDOhb3dEg7NPzRZ5ucOheA0qk1KFN5Ykd87/w152el8X0mzwt0SlIlbzwo92hmmlPmR94MIRVJrNk8N+RHv73Dr/2pTytyAYG1kqFRzjZMsvdhnd2QC5MC5MX/u5+o9CJbS87cKstsZgGotAWD29K1s67EI7uu5jzX+nx++DflqIxo9sIEMdbt7LzQNhydN0yeimnZCL37RMxKa8iefX2kifFxGrzsMQpwV9G+xBzocS017pZkH2LEEz0/c2fALpqLiymtOXvLYvOrzP/OmVyblNFNLk2cHDElqZIxdpw/axWhg4hP3hnwgb9sMjSekydC5fIkbyoes8RGdHf+2cdO0EtcrAxXhVVYBn2WsrduQy9TKqXNZoIYTUXH/Pi7uuw/5vOhzzktDopESAbGBZwyIWfwogArQ1Nh9JYdMwfqQrJYm7K5KECWXSORBYOlc2NFqS49JTkzhgPGyKDM3C+Fc1Oyrkn/W60ktYpl5/YhW7aucuXOVdbNeOi7Hpvj5GnBA4/Oc9m2Cldf6Fq6yrZR6jSNWF5rgoOSDIFRIOdsfh7GHtXfdo3uLoLMdIvu8paBquw6mJJUycBcYnJZVAfmujt/drMGl1fgU1+tsTLMwO0A7kmnvbUYlScjq05mlzF2jsbwfT4fdzR4KssTp8fLnT55nbiUKKMwRhMnmgk/4Z2v7/GZh2osdRTICIwiwunx8erCUfC8NJO7PFCRFMrqU1QabJKyuAN0ib3teMlCkbovmxQFm9sRclwD8LGv80FUuPokXyiadcVVO2K2b6wwu7FKUKuiL9skWOdL/K6mUXcTrOJk5DO78ESUJ3qP1hLkb3T8uQxuiiL88aCynN4d2b6uXOORB5blBoPRoDIbTlOAOxkJMLMgM9vnRpfY26vF3Hlvhceer2JK2ts1NWTyZLTeRJaq4s53M5et8PPTUcqeuYVWSJTxZghbDjqtRNnCF48TD21iXnFlyNtu6vFnn/dBhSAkVgiGRqOEcFuQZIGmKC7wuFzJrEFrnV2bsaWShYyyUiAzTS6d51y+pjYDekmS2lQmCSFSvZ6ehbKzkvn24/LXOrl8PtArAO0wefBEnWOnPXbummByqoHeskHSrEjinkdiNL0hRJH7QGV2Ht9da63OLr4nx4G9hr1LXSclwIiR2Sd2zD0pbdNdArhUFp2OGJMydUykTXV1SZJkjoksSRTp3JPAizh0XPKndzY42/HdftfSDXpXgmLHhvOsPqOHGAH8OHuPP0YSPZQ15eheRiOb6JbqxJXMnt32J+vrCT/4ti4PPR9waF6CiACFQTIQsrSJlLsGGahzG7N8w5X5PM9mptehzObCvRYCrHQ3hXudgtpmOtwyWjVqc0CLtEvMzZGxuLLxQhE4gsVZ1WVpUzrfBhgMDauthG4vwmskzIUGvXNbl+Fsmy2NBY6ebfLU3hphXKTIxxkqB+8YqMd/lr0e1dznt9dGKvFKjD3O3GtAns/IHn+d5No7Y3GdjQNWMUom6NQW9P2IYWL4g483eeCpquttk9ppbyld144o5q/kzQTZ+yutVudj8jLOxRi416SfGdXio+Wz5TJa126WbReTJIZYalSsee31IT/27ja/9Ac+w1i6DJSRxKmrIo0ovTebrsZlm8K1pFF6f+5rUYoN0u5660BtUha3OCDL1IwwWe9miY3teNxSIgg79jWlr7GjZkV2PjNC1OnvPH80Zs/xmGTCsDW06Lue7HFuqcsLe3r4IiDuezRqblb2eS0+8dJvcNwLzgE+0tUxJk2+HnuX9p93qfoxeSJt/j23bbYpSZTykbF3kg6UjHMG9/yYe57w+MwDNYahB1Wda++cvfPAlpFjDXOXUJyDvVRvMU7fpRizqK8fATdYlTK6Ga0VT4xEGidVMqDHsaZai3nna/vc9UCfu59QzjZEgpBEQtOnIB0yb7wkV6zMPJZSCt/xelGXItNspgCVfr7sfctUflhpU1mRuShFPqWMBcrnELsWS5YSDovYoHwDqHRLmvXThrl1PW57xTyX7drA5ATopw9NcOpMxKOPTXPhuoDN04aK71L21o42Joxf2ByoLwl0O/I7hSQp1SqPAVuIIkWtSkCXorADs+EzufbOJ6Ga/HXO2tmhCnDrFNy+F7Hatdz5UI19ZypOmghXEisy7S0oTZCya89B9lxaTkeX/K//yNqxMktu9BAFuNcMBypqVKRUSJMgjSYaanZuiHjbq7s8tsenFabpV+P0eIgi2wdCknrjI2W0xZpjccmd/IaUzm0pmiEyNk+lSs7gaQ25sCljF21sNndVUriel9HLQWfRSC1kVvUkcps6uwaettQqsHO9x9xUhfWbFUFVoC/fpJmWmvYmRb3mttEr/qgYMevHrbG1UfKYvloDhtFRbGIsWbJmFEEJzFJlPngRXMocwCWQy7GAMkvklF0U6TrlDQn/7fNVPvDpBlZo53uPsDeF9pbned/l5bTEKPASduoYe4/PnBnV30X2eLyVzeRbNRpMIjHS+eJKGqLEQyrDj7+jx8HTHh/4jCaKC5AbBEMhUSYbJJEhpQTyHNTC2SG4RSCHvygqS236fZt+LwsmpbCpP16MmLBlsKY3hMgSQlnDtC1uAIQLZI1NbwTj3qfMg92SL24Eg6FkfqnK0so6lsM5avU59FU7EiaDhCMHJVKpdJeDdAPQl0idv1SiJtfYjC5B5wW2LH+/NHosHw1WADqfaCrWOiYyA7calyeje9ardO8Zp8EjPD/i4FnJZ+6r0+16UFVr2Tuv+S5WnXKCpxyHjL+Gb5zkKRi8BPqSZCnPLTEmq/coAV2WdpWWTotLqYmihEY95h239fjig1UOnknTr25ANYkQ9MvvNAO3LcBuc1CnbXWUasQzSSJLhVX59xhxSUaALm2aACqATmYn2oLdy/I2SX9fmPT33fKQc0ciXP15GEFXSBIrGA4NC6FEVyx6sa1p9zVaSapV5WZp66yiLxuLxki9r/wmgF2eMyjGgD3KgCXWTiVLNsyxHFyWEztSlAezZ86JGdluQ5ZkiZSpY5IyudYxw8hw16N1vvp01Q0Hl54D+Bh7Z7alEkXANOoOjRYVZbgR3wjZo4Q+CvQRZkqzh/mO0W4rEqe7TSFTjCQREpVIjFBEQ83rrw15/Sv6nPiCx9CkF9FVQhGjGQonN6RJQ0iRgkcUu0+rHEqZo+Lw4MbkpCn9THeTuSYO1FKmtePpdS4clgLogiwhVAo203OaJYoo/TxfJu2YnEpXujgRSCHZMKtoTnroyamLVlstvjg30/iH1pqxnsesuGlMg8tRcBYXu9DUo7q7nBgpRn2NyJLS6K81rJ0D3RQavLT7wLj+Vnn6PSm9jpHSdepIP+b+J3x+/cMTJFYXzolUCCHdPkCiSMuPMng5fjg/e38TScwC2RkDrpEpdkSuGLKpV2kxljiPJpfOGxdGE8cG30/4mR9qs++k5v7HJcYXKWTdB4iMoj8iqGxJlpxHk+deeIqL7P1KmzJ4wdxZIJqxeZn0cqBnHT92dBJAwf5OuuQOirTpYC6ba35r0wH+iSBOYDAErX0a9akvXnLRhavqhmsu6A56S4cCX/wYNknnaZcaeUfKU0fLVMuzuovpo2O/p16qSCqVH6pUS5LvHmZHvzdymKKg6iXAXZYqeiSh43otTy4Lfv1PJ3jo6boLv6VrR0N6aCmoSggk6SZXdm3t9siRkkE+JGd0GFFW8y7VWMO0GDt/KeMVpQqjJQHl2KRMIuWGizW7LViYnYkJtOWx53xW+3JsqZH5FPGi4tDdoWIE+OW79RstTWK0lDqX9IXNWNzfIr+nslbINfd/mgDLfjT6b6RxirGu8CqxhJHB4nHi5OIPPvn0nn26GhiklGhhMUnBKJkJUES35RG9Y1Jk5Ht2VJJQlializTuJ4sya6+VJnJMc+csfr5DlQPLtBQ2fZ34CX/62Qn+6t46tqJAKIdOoR17y0J7F/2NX6djPj9HmTY57zVf44Hb8QtZlikwEmiOdNxno92kHdHi1pqiRkUopDEkQiP7Ce98XZ/dhz3e/0FNGMQFwIXAGo9hWjsjUnlC4oSxJasPT8GUyhBVkjAZOG0mW7KMdyZbcn1d4CSTIJk+F7m9WJa1opA6IpM+RTBqhfv8uQMk3J2UmITEalTizp921Wru7fra5vKmHOWfzynJJUrOJOcB9nggeb5ESQpssQbk5a0yMjfFpCtF0eGSM7hMSk5KGdwJslR7cvfjAR/+Qp1Bkk7BF5k16IJqX9gR7X3e1HwZ6GPnZ0SuiDGUn1eluBOeec9rMprYNSW0VpYym7LkrAjl2EymxVnSkBhN4Bl+6K1dHnnW5+6nnV2YeeNIgbGaoXHtaHkFlRmTKaUEUOZ/56Avg1ziiq7SZotcsuRApwTSctVqMRnLyrSkIAW1TWvNs1XJlm6A7Cya9MQZ6+ZPZiNPdBhlBr2hErg/kiRuJFYG9PJFHA8gC3C+BODHgV36vTKQRf56FOjOCzcloJ8P3GMSJd+4NDtilI7oDeFX/niCw6cCrC52Sx7V3sXmVudN7LAWxKXYsgByOSB6CZCPTyYYzWiWi6/KenxtbYqRacWhHGVxkRiE0MjQcNHmiJ//4RaP/HRAZ5B+GJO/SRI0g1wmrAW5A24B6uzmVCnLZsC2OYhTrSydHWndLeXwZDKQFkCX+Y1gS45KiqP093MZZaGcfc0GxJoEjDHUqq5l0RjQl13cQAhFFHbodtoMQs1wKIliSEpTPsV5ALxGlrwEsMs+ePE7BaBFqUIwB3/qlhQ+eAnYKejz5M1IMqe0O2+6BbXWEXECv/vJBk/vrTjPW2bMXTgnnigP0izswfEVbLzkt3BPsvJQ8ZJ8vYbJx5yTogGCovfRumKmNdWGwjF4HnRmjJ5IjEiPRDmpYgzXXRrxk9/Z4jc/PkmYSCBOl3enLxIUQ5Np8fMweapblShlOYXboNeW2TxrXSt9v+yO5IVXogB6+WcZ0KUQeeZTykxVFTUsOcCNJUosw9DSGyRU6lUq9SaxSdA33vp6tNdkdeEpDr54gKXVGcJIjujGLIVa6O9xH3s88LGjPxuRJWOvxwanl3fxynYOG2Xu7HVSeOGqvN30KHNrFaMrCV95NOBDn2zQ6nvOA0w9b9Im3Yy9tRhlbyFHdfhoEqwkZzN2KbF1sb/aWsFtR78cxfsI0G3JWSmzdjoVNpMk+dhlixHORkykQlrj6lViRbNi+JF39XjyxYC7vqagJopcOoAUxEYyyFebAuQWJxXcQNoiy5nJEmlSNs8lSqGdy4wuXxLo30C2kOnxNBFpi4pD1+YHg9BybCHiDW+9njtedTXLq1303pMBnh+wcEayuhwSaAgj1wdY1t8jLWQjDD4aQI7r7iIQLTT3yOvx4FKYEZC79Lhh1CYsmFuqwhaUqd7OqgSljJE6Zu9RzX/9RJODS75rg0/9bvcsc/Ze00w8HlSOybVCmowPtHlJyV3I2rFalILFi8RK3gjB+dL4Y0OCskIsa/JNZUUmVYRFSI2MLDumY/7pd3U4elZz4JTA6rLAEiC9HOSiBHKbMbmwTisYp5WVSYdBSdLfK8BKxuiCvKXN5gZDORlU/O55ZYu0SJOe+Gw8c553SUt6tRs5PTObcM2uhGsusay0DHrjpMQPJKqnONXTHG9pjJHpHD83jqEsP7JqvrWSo+x5W9ZIE1kG/5g8EWtZe/R7JRbPiqqEKTF5qdBKFtLED2LOtgS/8sEmn7mnhvVUkY5Ppcn52Luo+16bki+Du5zUGZHcYgzkYzQ+wtpjYGcE7C/li2eALgegWeePzCv63Os0+EwMMQZPOlelNZS87zcU86sCgjKTC9yMFclApEDGpoFpkQRy4HYf2Gb+dA7itL2xJEPy19k9LkvsLArGH0n1S3eTOXDj7hKTtco5/0RJUFpS04JG3XJw3ufccoVzy1VWWjGyGvjMTDTPxkZ9+fC5aV48NKDdtURxMWylaBcbbfQtGnxhpFx1ZJyDKTUlmJHfyXfQVaM76Y6Wv45WBo4El7kGL1wTKR24PR0TYvjcw1W+8ngtrTXJLEGZMnjG3iXPv8TeI67ROHOXtHgGYjEG5Bzw59MiY3JlzZxC0vkgpgzygrmzTp9MjycmK6UtpfatxFiVfs+9jmONsJI33jTg7a/s4YvYDRQxMdjisNYQGxgYGBpBZCAygshCbARxIogN6eFeJ6Y8q0QQpw0b+ffGn7Om4czHTv+9/GcJmHQjhvLvm3R+Y3bOPS1o1DW7LrC88eYqVd98OUyaZ6PER/3n//e38ddfv3r0rFo9ddZ+b3tlkammT+C7/du1pmgFU6VEjbKUO9vLvZN5Sr3UYjbye+Ut6dSoz12uNZEl4Bc3RtkKNClbJyWZ4uacJNLw2Qeq/Ps/nODI2SBtYigSOkiNkIJAQkW6QfZakG7NV5qalX+e4gYoRsoV26q470vybVXE6JB+NyhJjiZuMqdu/CgHtGscqDFfXrqxD+559L8vGwDlGn6MZbqZcNnFMSfOKQ4c1y7hU+TC09fOUjTpnSoKAVZKlBR3eOGZp0ydujI27VIY9/5H/H/K/875OWGk0U5k8kTgeZJqIJlqhLzmpq1cdXH1/7b9Fx7dsev2dI+eSZfWjaZB9DWB7zZvyuZsFwxcKn7KdLjMCtrH6kxksRloIVnKO3LZsUCzpMfL1qBIg8iyTJFJ7qJIWXTnZDUnnpdwZFHyoU/X2XcogIbKJYlL7Oi17D0Omux1mbnLh8zwMJ79G2Puka8LF+W8wSUCN4y+xO4lF0Xm+YnR9L0UYIxMZYkLQEXG7C4iQ6RSRVhLYjTR0HLpjogfemeHx5/3ObpQWqryoBOs0cRSpBtDpCuKBGsyu9Dpcpul7k2amk89c5POJrSmqDQsJ3Ry6ZIHpjZ3MPPa8jSYFTbV/2lsIHAbY0WJJQwtCyuawycrhKJKFLoqGg1ww3WXU6lUaNQgGZymUbVUAwg8N264aOYtwOlej27d/M0AW4wAmhzMa8AtClZ3X2cFVK54yn2dShORHil7L3cEv/2RJvc9XSmqBLOMZQZu6aRnueak3GOpRJkF19qCa4A/Tm4jL87/KAeXZVobqUspgdzmAHLaWxrhGDYDfynTKYRzU1wVnnU6PAW6QGGEIekZXnftkH/23jb/4Y8nWekXbkpa3J0CXhOnd2wBatKfpV53GlwqQe6ZF84IIzrbpIVr47pbUDguebYyBbpM61/chK1iaKi789xJTIwkaGxl09Yr6PcHBcA3bdzApk0b7zq458Ffv2CT/z5hB3i62BsxkxejhVEZC49lK8/3uuR7j9qIZcCX3BNhc0AX+6MXGUspC3Dnz2m9yUBY/uDTDT74yQadxEtdk+xw4Haz+4puncw1UWXgsjZ7OcLUGZjLgSQOQN8kvkeY/Hwta+OTfMfrxbOtT2Rp5FvG3DLNcAoh3Yx3YzFCIoRCCENiFMSWhhfxY+/qML+k+J2PNEfKaB2A02cUsZFFQid1Vqx0e1Tq1PmwomQfCoHJQF8KOEcrBosmCZHdU7Y0V0VmQHfdRPnPjU2rByGKLf1BQmyq7D88/+vf9rZL7lpYmC8AvnnzJr761/+hNxHII/76hMEgch5r3tI06m+PJ2jcxS++57Rgwe7ljUFHbMKUqcdB7ioKC9Z2JbROc4sc3GWQO1vQasPuAz7//a4a7UiDn4G66NRBSARpxjI/Cn8+a5M7b6ayrGPHnsvfX1uS8vWhnqfrS2yed9mTBZYpc2UShcJZyQYFCSnzDQsycIu02k4I4SoNhU1BbpHGEkeGRiXmPW/s8uWv+Tyz341ZG6VccmmQGEGYfpzMD8+ArWXxnqXJJF+Wal+b4Cm+LupQilT8ONiLWvMM6Em6G5q1ECWGCMHuA+eO/Pi/+Pe9D/z2LxYAB7ju5reiVJWFk1/l5NEn6Id14sRtYVG4BrbExpwXwDnogfEqtyLhY0bkS7YFdMHWmQbPtLcpvs787rzuOwW4l/DcYZ+f/PUpnj8QYD1ZyJKcwWXJFixqTsZ3ajifNXg+mTLeb1naP2ytXPlmaLxQKSXGHrcLXVpapgkXkw7jySSLW/6dayJtyTbMJmZZ548LoUiwTp+Hlqsvjvi9963yY/9R8PzBNDiRpTdTYvIEydAUUsQIi071uRYOMJkMcUOCij7NLPgs3z9CpFvVSkeUpnTOTWk1dUVZxc+zcxQnsNBKuOyqXXzPO15DpztgDcAbzQmkqhNNCNr1PsZW3B/Ou7DtGilSrksRLyFPRm8AMyZXRp9zgGfMXvK7y+AuZIpjbu0ZOlby+5+u8cyLAYkuM3emvd1UkDywFOUM5WjyKu/1k3YU0Fn2MgPuGOgZe/2NEG7HgF1GuC33aY58v2QhjteMWze321iBMMJJEpwEMCINYdONDnImN5YEgxaW6y4f8k/e0eVnftOjEwvwysAefW1SkBsBfu6RO+lisC7gzNg8zXqabI6hLJqPbU4W6fkoJXhMlkEX55Eu6Xk1Bre7Wg8iXWN23Sw66OfnNQe4lBqp/INK1w+hJnYkaVvQGsejrKtLLE36M2Ato+cMzlpQi1KAmQebGYsnxXPunmSvM3DH9IzgQ5+p84mv1BkqXQBalLOWzqLzRLHlXsYw41nLl6wULAeTI4GlyMG9FtnfSJ6Ms3epPDW76LYIp+R5GH1cspSTQTIvrzUI6ySLsM5NcQGoQlhDYix+bPmu1/fYc0zzoU836Ea4E/YSILdIoux9G4GRFp2tLKn0U7k2d0A3gExKO+lleKKYYZglLcuEMlLvlBNQRhSGdTN1picqh2qBf3Dgh2sBrio7eP7pL3xZqa0fPdfa8fPd7jGCQOCpIhlTdj9IGSEHcv6mSuxNcWMwwvxl4JsC6CMuSiFRRGYJihK4hbMHO6HgQ3fW+Y8fnODciufQW2buXJ6IEnvb/OSfvw1t1FGRjIG9/PU4g4/87jchUMYKrTJmH5EqlHbXsJTYuhgxkTsqJmsULyQLmbNCNrotCzZLIDeWBMuGmZif++EWWPjw5xp0IuH8v4w6zwPyOP1WYtzmXCYljSzILEofUktTFJo8myMuS7FeLokpiKQM9iyRiHBjXyrCcP2uddx48eRHH3zw4S9/z3e+dS3AAVa7VTyv+vnFVuXbzbB6rdYhgWfxdLIW4GQgLwDOCNjtyCHF6Pdyts5/XpYvJVmSgroAd1Lo8Irlrz5f41f/qMnZFe3ALfUa3V32vPOKQVlig3IyJQP0OHOXfO7RAqvysSa6/Bs9RgutGJEqOfDXpO5JC66cgyJS1s4YPPteOegUFoQxqWWYAjz1laPQsnEq4ed+pM1SW/LROxtQyepP0iUE0t5NC9JNsk3ylLsbhO+lK5Ck5H6ILIAXWelKjg0jRKqxU2iVTmV5pzghXJWrTktmhbZMTwTMTelntqyvf77X64+cU1n+4tWvfh37nv/qQ2E4fAKhUNLieQm+l+B7Mb7nkij5Xu7pPjdKFUVPRU12qUa7pK2zktZy8KhGAsokT+CUrUApDEqkBVQiQQWGgyc1f3ZnnTML40VUo9JEpJq7cE5seoJtnswZDS7tGvCOFX07di59PWKdfHPE/fWBTuF9j4wKLt0IxXOWui+88DyVn6f0JdluESMbzdpiUq0xEmsUcSjZOJvw3m/rsWNrCKEBm7g0vkmf86+z1wZjIbIwTNP7eYrfQpym+KM0re++TlP6pkj7R6Xn/HUiCBPBMBEMY8EwEgxj3kSsiwAAMwVJREFUCGNBkoDnKcLh8IlPf/bLD91+xx0j51KPn9zNWzYBkrDdoh6E1CsRvnbsmYW/NruKeWIu/84oq5fBUmZsyq6KdcFnzurlADMZdU6yhI5vOHRa84u/N8k9T1ZcA6UclyQFg8tx9h4D9HmLqcp6fLyxWoyydrkGZeTGGP99UZIeZWmS/pc2jygpEj52FOyZRLG5Bz5aTlv8rGDv/EgTQMIILDJNBKVSUliMVfk2HmZgueOGAb/8ky1+4fcmOHzaB58Se4/TY/a2BTEuvZ+Qsm1JjyvIm4xlKlWyoqv8nBUJ3+LfHStI0+lWO8bABhGwefNWTLb//NcD+A03vxYhdHj6wElM/xC1igOZYxKR3uWOBbI/DOUAq9DfZd09clCyB/NAs+SeiDF5Uga4Zzi6oPm3vz/BJ+6qEQo1lswpSxORg1uPae7RSsHxWo+Srhajn29Ec58H2C/5KP9wjL5zaVIC/8jvZSW0uaMyXieeWYeZDk/LUTPbMM94ZmCXqUxxhblGSKfFXX0eQlhiY6nomHe/oUdi4Bd+d4Jj5wLnrGSPXLJkeqooYjNCEIl0ez/3r6JtCvScYERu/42vmvn5Sj9zYt3NEqXFW8YKfAk1ZblqciNvecsbwihOvjHAJyamEWryp9my7vKo1X+dsCtIIQGPYegTRV6xnOVsPnoN1wLafS8LTOWYDs9ZeyTATBAlgCuRoLTh2ILmZ35ngk/eXSOUafu/eKnDBZbZ8Pp8M6uXOMorz3l975yNxRqmJgu8U2vub/Ww44w9VgdOkfQRGcgpf112VMgBndmG4GaG5A27Vub/uEgPUuCDJY7drtDveXMfreBnf3uSYwv+KGoyLS6sO+f5nelWicSKPD5NhJvDooS7LzKp+P9v78zD5bjKM/87p5be7u27b7raF0uy5EXeZbxAzBI/2NghtkOGZJIhbIEEQgIkZAXmwQHmSQgJZEIyYU2GEOzEGBuCjYHY8m6DV2zLlmVJ1i7dvdeqOmf+qO1UdUuWwUaGzHmevt1VXd23u/o9X73f+y0ntuBmFNnMtAx0SFeaStBSCuV5lEWLtvIZ6O9l8Yol/7lqxeL3H5peeG6AS7ufb3zvunmtB7def/PoeQcO2dbS4Sa/e+UcAxVFg7C9coBGRYsQxXnxKQhUSlc61JZUOYnBnVrx1MEUBtAtESCsgL3TNn/06Sr/9u0y7bhHRVfLnbXeyeUxYz0Mvh07l0YmHvFxJpDz1sV4LDIbz9PZ1Jm79LGpk5sOZiwk5miKIsZaGrbXkfU2pUMRKS0xyLXSkeYcvonAIm5jHAQ+NgFXXNTAD+D3/6affdNOaCmO+GUk4fLJGkTYATEgrWeOFRQT7DL6bfKnTkUAbypBU2l0u8VY7zTvvXKW8X6QdhCsXqe23nPPtfNnn33FcwMcwhXW9uyvv+OJp5ef+fjTxVO/0/KYnt3D1W+epVxw8IOwgWPMxTSEnJrUekNWLkTo7nRFqCiKaVrumKaE4JaWwncE/+frFa65KbLcohu4zYglRiGDsYZ7XhqMQRx9zhjER2oPkQ3uiIwFz0Y1jx3b3cBMzpKHT4jkiaxFj2pvTGXFkBATDk4K6ph76yjqKbSOcktCuiOUFYI+CtnYKK58dYOtz9h87HNVfCDtzGnC0YpuMdDjLxNOtECLeJkgA9wm2FM1Kz4tvhb4GrSnGarUuPrNU1xyVolao4p0Jx+e1wvv8HRP1/Mru+287JWXYbdl8IZXLtevOsliyaDFwUMlZhbCDx/mqUSWWhhVNZYRiLGMULr5OL4X8S0n/eWftxTYgpvvKPGVm8u0pBWZ2m5WOwI9ec27O/eWxiWyW0DHBLQJXJOPd8A5h+yjAb0jyJP1MbOKielkxlMxKU7OBX6UoaZosoqKSpWVWEHRZkPPpDoobMmslIXWFloJ3EDzS69qcNHmBiJQUV+5IFVU4scquuUfa4VRwUEQKSxtBU0dFVfoUH1p67hgQqTZnUj6egXDQza79g9y+4Nj7Js/VTcb5eC006/seo7tI538119yHu128ytO8PQJvT3PVi6/qMFQtYe5mttBP9IU2dSBTC05mefIHWc6mOG+EOiCcEEpYcMNW4q8/6+rPPaMGyom4ui8W8pOcMeZgmm1jjYyBnPOZQbEIgf+iIwYVjtPYTonwDEg3NxtOJeJBp6AOL2lNCQ+NObWRJw6BrLOqCndaApaI1RocQWADDm5SvbbSB2wcZXHX/7OHO+z4BtbyobBjnk4kQwis7c4DzaJz0fkL85Tibi6b9AY8+pbFlAswb6pPj7+RbjyZQXaTPJza16F6zhHPMXySE8MjUzqfXu+/9cnnLD08LJRTUmMsvfgEPVmAc+3iZcTTFJbzRpJK5vKmhYBxxp4WvluKiSm5Y7Bff1tJf7gUxG4XcNKZyy3lVjuWPPunkiVDfd2q3zp5liSf9zFOj9vx1J3fUhSaJzRvNPywcy2Gfk0HUzIlLSF1ffCsOppoXK6T0Y+VfZeJWsBRfvbgvXLPT72W3Nccn49rTFLLHmQteQ6SLVy5XfeEm09CHPLtSaIdfPoK1pCU7Q0QwXFyn6JavaxbbfDomUrZkulyqfKld4jhhWOaMEBSv0n4ck5ZmqP8dh2j9VLGgxEqaxW3GnICOLEaghCI2NrnVjtWG8Nf6aY3qSRToN7R1bh+i0l/vDTVR7d5kapr5HzcgTejewmC2YrczKBnDwlOdI+sqDOA9/0PlMl6RgdTTNy2QXsMYBTIAu0VkbueGroM9KhCLNZkhwVUpkwbawfaeGZBK3QqoqQjCOENrh+GNqX7YCNKzyufuccWsONW0qhrYzNZViVgJFBk95rslZcmxYktfRahAEgO4pBOFJTsjXDFcWyMYvVS3s5+9Sls436ri8P9q894uk9KsCFu7hVbz399lUrln1VtrdWNMZnEWGmn5XJ7lOJ02jmq5ABtuGAog2QR3knFmhL8M07inzgb6r88JkI3DLVWMHk26lqklhvSIMKOe4tcmA35cCMA5kHe4cTKXKWXGRngvFMN6Dnpe5wI0ZqLlIpUnAnElwG0Ck3Jwd0pXVERUzKIlKlJVZZ4lI3JRNYChkWSiBBaBVOiPiztgNOWuHxsd+eQ2n45u2l8LPFwI4lnVhi0wKESr+nkKHVJmcpRNyzRqKQeDp0TLVOz5TnK6p9S2q9JevtYxMjraNh+KgAHyrPq/ENy+9dOSHmHr3v8Uq13KToeElDecsy6yFTmpIBMvEXjdWU+DdPgZ1wdAnKEnzrriLv+2SVx7bnwX0EpzJCpEVWFsz3N8nTlBTIusNyE/PtDCXJrcWTHNhp5fMY7wbubvt17nmd29mRI24cl3LxSAdXIbgTdUXFOR8i4eoqVlSkKWmn0VCi6GZSqRQVGaBDkG9Y7vG/3hVa8pvvLBKAkUcen5VIQzb36SgoE5/M2LKHmV2gwnRnP1rM1lGChq+ZqQvKRYuNp5w7V64uv/fZ3QuKo4yjA3xoCIRzaHaqfsXkspXfs5u3OD1lB4TCsbykJXHSsiGiHanlPvJIgE1kIUQI7u/cV+R3P1HliR0R505i5XmlJBuxjFUTi26c26hKei5K0o2eHIF/53H+fHJROoDdLboZvVmGaugU9JllPITpiJpRzlQ6VOgsRTFC/EqLaO0dQzbUEq0CtJSoJIMwcj6jkL9qa05c5vGJ98zxW77ge/cWQpDHjqYWdMbeRfaLmmdU+NHvGoAMWyE3sdC+oBlYzHl1Lrn4DK/Rbl3R29t7yHGLRz238mhPCuly+w+2sb+xaveOufVPP/JsGcdu4Nhhca9tebhOm2KxSdFtUSi0cAserhuuXuY4Yb52VhYMooSpEOAhwxAoS3Lz3UV+++NVtj7jpovjdIDbtNwRNYlAbQuzeU92LfkE8HlQG4A2gzyJ9c7QkizY87+ViF+ncyrMUYCdfWBsGlp4J+DzEmJWWQknQy75KrM/reHs5nimXbLSW+KsEvZX0coK77VA+3DCUo9PvW+Wi85uYqm8hBjLhdF+FYRNTzw/jBp6Hnht8FrpfbsFQQtUCxUENBTMthQXbw74jSsXPX3+ORO7Pe+HlIouRxtHteDhibXY++Rndyg5fsX48IovN1qPbOwpBzi2R7HUAu3x7GF46CkX08QFAfT3BKxf5TE6oJCBRsUKPyQIEE7o2Nxyd4Hf+YsqW3c6aCeWkawugE6BnVCTRDUxsgPpYr1J782SuwzvNkCcD9enQE5Yd84JDS1VN5nwiCCPjFvKsyNgizT5qoOS6C4cPAZ74ngaC0WZVtyQDPNWPLOqWzQ1tZSR/Bjmr8SpuYklVzpso9/WnLDE569+b453/S/4zj0FVCDD3BWds+BBWLM5OhBwwmqP/h6FClJcaC145KkCew4X8LwCFEM8uMJn1ZKzOLDfecsDD9214/JLNzwXfJ8b4OeftgKAZx969yMa+0MW/V+1rT1Uii22HfD53veLfHNLhRvuKuJrI3LlK8YGfS4+u8lVr2lw5nqPoX6F9tIvKl3Yecjizh+4fPAzvWzd4US1lKnjmGqpMT8znkckPNsmW4aWOJHE9znunQN/N4sez8N84CeZx115yjGgurslOSa+nqEjyc1UU7TBxXN5Kx20xajEN0Gfs/Q6SskIwS2j4ueo7hMdOYAa4WvWLfP56/fO8Wd/18vdD7jsPGSF3DG+/vgw1B9wxnqPq17T4OKzm4wPKAI/dqLDz33D3S43bilx2/09bD0QWrCxsX6WrzjptrPO2rx3aqaJEKXnPK3Wcx4Rjauv/gg9A6eeaMvmVY5+hAe3C/7sM/38/Q1DPPRUL8ophohNqmkEtbrkwccctvzAZe+UxanrfXp7CPvLFQRbn7W5+jM9fPLLFXbuNyy3qZDkU2BlJ/eOV0QLO1OFxQyJRTe6RWWWDJGple5cKkSknacSBUsY2nncu1p0bKfLLqaVNekS1tllGeNJ0xFoiq82cYNJ2VmEYf5fcq/tPI6EbqUlhjnfIrdPRBPWzNXBeH3mqicgERQUDA9qLjzDY3w84PFtNlPTMgzre5qJwYA/fvMCv/trC7z8tBY9DvhtSaAcgsAlCFyUsjlxheaCkz3WrGjy5E7B3j02l/38mWw6adl773l4x5bNpy4/Jtw+pwVPDiyuQTr990q9cN0djz97+Qf/fie3PTSMLx3oCavVNURcywPVBtFGW5od+xz+z7UyTLt8a42J8YCnttt8+H9XuPamIk0lw1zjWAKMLXZmW3Y8L+kM6sTh94xygu6gG4JO2ZCOY47+OB55Sv48fcwczw5Nr6EIRrp2KrmZ1CPV0bNlbaFDmSojWTpi0pZIMYmyDcOlTMJMQC1VatlFzqoL8z505bQIwoxEXzM2GPArlzQpFOBDn+ph29MW44sUf/TWBX7j8jpFW6EaEAQWvnLxAofAt8PUAKDZ0rhuwGvO9CjIGW54cAObTl1/3cs2rbp3/+G5Yz63xw7w0jKaC9t3FPpe/u5/ve0x6+k98tJCSeFY4fo+tgirqZuBRTuw0D6RFBSAq2kGgs9/rYSv4MpXNfni10pc++0iTSL5IwF1YjINrm2aU5mgTJrcm9S6dMvxPmK+CdnHsZ4eo9U8xtzZQVvMp8XzhXhWDoyu1FFUspOHk6cpsd6NsU+JcBlwTAdUG3RFZLfNjEMhjEkRc/CIk0fbocMZ3ivC3yBcGTvUwFUbCrbmilc20QF86foSV7yqya9e0qQoNaoFWksCbeMHDp5XoOW5+FGUXEpFoxUu4X7q6iLr11a+Xq+c9e5DB3fv3Lhm8QsPcIBizwq+8e17dl520QWPLO5tXPpPN23jwGyRqgOOFc72eU8w1bZoBRYZeyagURfceq9Ltay58wGXZluE/dMyeMgT207LDQa40Vm9myz4EoeSLhb4GEBP7v3S/cL8auQxbV7Wjwrs+E/uOLOdWwr4+KazUmEUZ8gHfbSR7ZktjhCJ1p3h5SKMboatj7MV+kKHjmfc5FtoHVp5HWvt4ZnTItZ5QAeCUlGz+VSP/YckF57ZplxWqCbRtwiHUpK259JoFGm2XbQW2FZAsdhi5z7NnrlNXPTyix4peHfvnFx5zvOB7PMDOMDpJ05gFxd/bP3YAyvv3Lr/lxYeaTFUERSdsK2t25TUPEkrjjxEjaMLlmbTaW3efmWDSy5ssXIi4MP/0MP+GStEqsgD27Dk5uOYw2I6lbkswW6UJDMBdHcQm1zW2Gdyl/zrMo9EJ56Phu88rk3pL2IqyQExCBMFJQ6hx5Mgp4uThNiNsH3mOFNViRw8TRK611GDe1MXF91oCqljKsygjQZpa/YdsPjLL5X51xtLPPykzduvaHDa+jauFTqoUofF5kEgma+VmasXUAqKbkA/AZ4os/XQqq+8YdFpH9uxc9/zhevRdfBuY2zREirqq7OL1068qd7o37J0SDLWB2MDksUjFhODgsFKg4nyLMOlJrb2qUjFr11S5/q/mOGXX9lgqKJ442ubvPrsVtI7MYMQYVjtBGWp9RakfQSlIEmU75r6ShftmxyYE8ttIj4L/A5u3UFRDBLfFdrZ7a5Nf4yNDC/PRywN653kjSNyAI7BmQW1itNuETmwi6gcM3rc8X7pDbOIOb5PlBeZfl0puOmeAv98Y5GpmuBfbi5x+Xv7+fwNZRoqzB6cbQbMNZrMN3x2Hyyyc1+FvYfK7Dtc4sB0P4tHBrZsn179pg9/+luzy5dNPG+AP28LDlAcvorb736g/sF3Xtq+9t+uY2FuhnLJplKyeNmIx7qV0ywa2c/eWcWffKaXk1Z6/Pk7FhjsDUIftA19PQFXvLrJHQ8WwrXUk6lmem8mTUmRJkUor5rcO2+9E2oiDfCTUwEMAOd5dUo7ss02zeMMWHeH8rFQ8dhaG4/j/QkvF8a2yc/z0p9I81XyhQ+xjAgkLY6zpW3phBAmF0+OMax4TkbMaqbhVJQWPLXX4pqbi8wvWOCCh+DgrOADf9uD0HDSSp8//rteds1UGOvrY8Mil4lBSaUkKDiSuj/MqlMuaX/kTbo+ufTnj+FkvkAABzhlwyqUUvfMTZ+5+e677igV3YDhfs3SMY81kxaLRgVun8dpG9q8/ZIGAz0ByjNslQfnntLmlI1tnt5vGycqRpihpCQc3LDe5o2c9U5A2mm9yW2nQBcd4M5z6wxlAcN6Z98/j+1j9Tkz0ck8kE0ebgKaXOhepMXJOgPadJKEz5nh/273IrHmeT5uWuzwPWXmMwoRTpoHHna444ECSQtfBAjNzJzgb64p87ZL6uza6fLUbJW5+QpFFdButRjotemrFlm7cVOjOrDqHrNj708M4D09vTQa9T86d/O5eubwrvfUZ7YWx4cDxgZr9JZq3PWo4H9+fpj7HnNYMxawZrGHpayIqym0pxgeDDhtncdNWzQLMfgzXNyoiIzuMlFL8jQjLWLIJFAZgE+a++SoTKbgNfmhzGKHbKFxx4XGBHbifHZHfD6wl9mXsdJH4OEi62TGfFsY4frQ0hrHYUiGEQBFJtoZKzZZkKeA1kaOisG/kxvJhEBArSX4/uMOhw/bUDEUMQ0F6XPRGW3e+NoGJ6wM+NPPOjy8rcjeWRvHCmi1fJYuX9E886zNf2Xb9h+Xy+UfGeA/+tQASqWyevThuz+4ZHLo46tWDLYnR+aZHJ3ioZ1NPvDZEW5+YIKZhX6+cUeJetOl7Rfx/AJ+4IY9OFpw8ZktFo0GZLPPRBZtImHIaRpsDFKDknQDbEdKrHFc8jj/r0kNTgxOMxMy5d9p0L6b03ksQx/DkyYPD4Eqov0pxcj2TTFAGtMJZVjkPLdO3sukH8b7Jvs781x0chlJT5gQsOeAxTfvKUQqmSRcNqYIVomiW+DizT59ZZcLTnK4+k0znLTqENunfbYfgnLfWLvaN/jxW2+7/YPlcvmo2YLPNX5kCx6Pkb75dsDoR8sjz7Znpxc+/KnrA3njvRNs21Vl8bBEa5/LzrcI2lUaQmBZPo7lIdCoQLNqMqCnHP16JtHN0JP0xB2pI1U2x0R3curnupEe26GkGCDuoC45I92x/yh411FSltbRhEr07dhSp0CM12JPgz9ZtSXhziIbxAmVkfTikFKclJ8nyky0KkOqiecsuYhawFmxg2uAPxEHw3+2UBds221HoeFofSSrgBA2bRFwzXd9Vo9qlHJZN9ng429Z4Pq7GtzygyXK6R378MjgyF8+s3emzY85fmyAn3DKVex46guN0cFF1927/dwPffLah+lxKpwwDAMVzUCfw+rxMQ7PNikXWhTcFsINay8d7eN5UVK96ZmZyokR2DFXYchYZiJ6YgBT5gBq1mDmk6EydZfJE6LrBEmVklxSVQboz9+ex7xbYIA4en0mJVan4DcnSd4pNfl1hrqYHDwvFZrAjq6a8XHmWoDauE+uDiL5FYAwbcFxBDTjAgYXabn0OJJ+R/L0M6Pc/oDFSL+mv7fF5OACv33pYc457QR9oLbkun21mca73nblMZ69FxHgAA3WUhyoPOmUF7/jLb8w8L8fuO8+2VeBoT6HyVGHmXmLasVCVEHKANuysSw/Sa5JZUAzkUpmkBjLgUlfE+hqnfOBnq4W3Ngnu+2H7hSm2/NZzHdB9XNA3FRRou04UQoD9Pm87yRYI0xAmqqKSiKhHUUSwrDiSYVQts1Eor7EXB6M95bJ/0ysd05GDDO+4pMTro1UsCQDjmKsRzFQkjz+jMv8mGSoZjNfd1l34gXqFWetecf2Q4ufHCgdfiGg+cIAfN3qc/jBQ0+2X3fRxn98dtuOcrB25BMLc4cZHnDo7xXYliYIBEEgk45Y6NACNlrRqsoZvTufUWhWxJvdkHSSGtstiJPycn0Eq5613pmLhwHiNMAjsmDPAFh0AP9Y1JPY6EpyVjzGfhIjyL3ABD055zJxBHUHoFNH0wgEJRMlVVeyfN3MO8k7oDJKE9DIcGEetA5XHy4VFCzEJ1riCI0TtT4OlGJm3sdxXJpNgV1YxIGZ/t87c8Mr/tFyngoGRze/IAD/sZxMc2w6eQ379u0P/ttVr912+WtfPr9s8TC9ZU1fT0C56OPYaXtkoiJjWVB88aYi23c7IVfLUJI0gpksEkWu05TgufNNullx47WmkJ0+J45o0Q1Bp8MXPpJO2A3nmQqeLoGcvGOZWlxzv4hem0+kMvNP8g5oZzTTfG+0iIxvp0OK4WxmHNA4h1yF1fiBkqyY9Pnvr2lAO4poa4UirK9s+9BoaeZrAdNzLTzdx9LV581v3HTxtqmpA8Hg6JoXCpYvHMABKuUSrVbz66du2vTOCy64YGp8pMJQtcFQtUWp2Ma2vbRlshUw34Dt+xxanrEqQy4dNgZI7FyayVQmt+56ywEdsiAH0QF80zrHFr7bBMgD3RwdlvtYiHheTjGE7zQHhRygDSqDOTnyZWkmSE0HkU4rjfH+poejjYlGHtxmK2YLFVgUbFg54VEpe1FbCEVbaRqBoNYWHJqX7JvysZwKLzvv/KmNJ53yzrn52tdd97lzvJ/PeEEBXu3rY3x8HCnFl04/45z3nnf+yw5W+20CPUNPqYHrhDWcrh2Wtf3zDSW+9r0KHnboaWdWZkj7C8Y5JzHQj8STs9mEWeeza9KV6DIZSHOsM1a6G/fOOZzdaMnRaEpHHWaX7STCGasdxnaYFmtYXhPMHMmKdw/pZ8Fv3OfkQ5L/lS1v00afcV/ZWNrmsgsbvPGS+aiZZRtfaeq+4HBL0LLb9Az2sPncCw+effY571WKL42PT9DbW33pAjwePT29lErNz61af84HHt677uC/3wZeEPYmdFyPSk+TR3dK/vmbvRw6XAzXC5d2qJUmjevTpKrEuSQHSuigEjGoulKUzL04Mo0hW1BgWu0EtF3eO2P9Dct/tGHSkAS7CWURZGlK1kqTA2x+u5NmRBPCzEnRuZrN+D1IKVD6WdP3A8N6a5G0eguURRBYtH2HkUHBr/x8jQ3LalBroTyfQINtKa58+QLvf8uyg+efd94HDs34n6tWX1hgx+OYK3qe7/jQhz7KvHP2D2YWKgf7ivYFwz210sRwDceZZ8vD8Ff/UuWWB3oJnAJYhVAnTZYfyRYSJ51hhSEVmq2QZbokSVytky41fpSqHeN9hFnJI+L0c2G81qzaiY8xq3fMKh6O4T5Pl7pfJTL7jjBZEeLoEzh6YTdnOtsyI7/UTPo4XnHO/JzpMN7YpDWBYNFgwOhQm6k5OHjQxtcFVg0GXPqyFVOvPn/0fX2Fxz7XN3TmiwXD5xl2+xHGt75xrXTt1htGqz/8u1177+m9/k6bW+4t8szeIi3tguMYllt25HabDXxisNtCG6VpoVduy3TtnWQCRIu6xhNAxBMgB2RpALY7uDFK1vJAT4EUvj7azpWzpe9nlKzFr4u3ZTzRzDI2bXym+PPo3D3JEojppNYdj614Jen4sYiXaNdR27146XRtNE9VxvPpKnhmW2wwVutIFu0NW4k4jo/WHjv2C759b4l/+u4gk6Ob5i8+Z/nbqxXnX97wS7/4Y0Uqn2u8IDLh0cbmkw+p3kn3K/fdPe5/+Y7NX/i/Nzxb9AIRLRgVraUjJZYUSbNFGeckH/FdBYkLlFExDN5MzqJxdM07k2zV4XiKDO3o2oDTINtmCJ/MfTo6dG9IE6Iwgjykcl8c9Yx18rQtW9xC2UiYgo7Hafla/Hqzz4oZ3u/c3/nhRSJ3RyJn1CtFo6RAyaivYWBh2zYrJxRvfKXijJMmm999fPTNNz46eO3kwOyLCu7uZ/5FGG/4g3+j1DNs1Wd2Xr5z565/uuuh7UWKpQSNjoCSpXEjC62JlqxQInGi4gbpdlRQ7ETrzNsytuapVZcitej5QuPESnez3sm2SCypyGxnrXAMbEvGljpv1dNtRJbWJJMp83+y9/FVRxhWPG3Sn7XiIrLeVnKcit7DtOypFTfvk2UiE4uuolX1FLaMFhhLlk/Pdg4288yJJlmyCJkMiNdscqw6orChWais+JXS+JLrmD0UiP63v+jYe9E4uDke2fIVzrvo1fqXfvFVj+/du+uJatl+bX1m3vGVRCHosTQ9jqYUrwQYvS5cyEgQRNYqVkHyi7fG/VA6eHiOd1sZCpIeK47AvVPaYR5jUgwRiT0GDZHm1aAb784C3Ew3gM4rSHLF6OLQJv8jeW2XetIujrJ55SHHwfO8O6Ud2W2ZZCJK/CB0LL3AJoi0cCHCSRMEkoV6Eae8ul7qnfi1A81fvpba91Vp7Dd/EtD7yQAc4J7vXEvPxHretEL90BoY3D5QEa+cWzhQXGgpKpZNn6spxeu4ivCS21aSpg6bpAfRr5bwcsPJzGyb3DTvWHaz3nmAJxy7u/VOubU5EQxgJ/uzTl7SAsKgNxkwGtsmgJNtA9ydjqno+loT0EnENgF9vidMCu7wXEWL8lphe+wMP4+WoIGwEMIPbNpeePN8G6UFjhUgZJ2Dsw714OTZQKx729Wf3vSVy19xE9XJd/2kYPeTAzjAfd/7GmtfcQUXnz/wyMolw3ted2H5goPTM+Xpwz7DFUFPUePYgIZWIJhrC5pe2AJBaVAILCEiakKmD0oM8vylPHYwTeudve9mrcmBOQa3AfTMRMj3PsndYyohRrg/B+wYoXkA53l/xh/IAd70F9L3Tg80lRC6gDteFDelTyZtCbAtH9sK10p17dAhaHkO9WaBeqNAox0ucSOEx66pKo8euOiwdE78nW37+//5teftYsn6F5+WmONFdzLz4/ff82v8PqD1ni/CufbB2r0f/XL91hG/OU/JtWj5oZd1oA6WbFN1Wyw0BIF0CSwHT0R1hikespf66EcyFQpxpJvBpZN1YcxLOLnjjSCQ6Vzm6QddQJtNMEmf0sYXEdHzGV1cx85mup1GNQ2HkNjJDB+ryHsVCpRM20OEiZuxw2kkZ6k0HyVe49708mOVxLICXNvDtn1qDdCigCULNJoOh2cLtNoSx/YIWMzE0vMOjq694A/Q/hcvWTPyk4YacBwAnp6wRczM1j978c/9nChZ7p/fvuU/R7zWPEpLas8E9PfW+e8vP8jS4TpfuKHMvU/2oUQPvnaTHtXZZcKzTlq2AMLQrkWWrqRcN+tYpnw2Z5ExrWNKIrJ4jq2tyGC7Y+TBbuzLAFqk75uoIgIj9TXKMASkAhVd0XR01ZMqvArGn0zJcAHYFNAgtETqAKXCz22uABH+c42UIbiLhQY/2Aaf/Xovi4YsLj2vRaNl8eQuh0YjYHRkiLUnX3Bw7frNH9DwWct+YcPvz2ccN4AD9PeVqdfr/3jRhWf748OFT2zfetvAwvx+RofaOAWPyy60WDYmOGF8lnd+QvLEfhdlO4m1kjnQmtw5A+gOhUJ0TIoMLUB07hc6w2lNpSRLTfKU4QhfPgZuXguN9pmRTaXC75VIh8IEfmSZBYQrz0dFDkogZSQhxjMmyvuO19RUyXYc0pdRo/sI/NLoi0JIV1zHY/t+xfv/fozbHxhm+QjM1Ru4QrN/qs3o0DAXnnzB9NKVp72v2dZf+HHKzV6IcVwBDlAulwmU/6VNm06d8pq7Vx2aHf/4cP+3nflamSe2LUZ5U2zecIArXlHjL6+p0tIaiUgdS5la7CTYgUlDjgXcBqCloUSQdRQhq1SkvNq4GfH8vOKRt9bCsM7Jf9Tp88m9MKhJJIbHljuZI3HDzag0KJwYAuLlHbWphUfAjqvrYyseWW8RdbIKlMRSGhWt7yOkxvMVX/1uhbseHmbJaJH1i2D3XouZWpv/ceUmr94ovn/DhlO3OW7hxuJztDb+SYzjDnAAS9rqulu2fb2lXu8ODH6/vr8Z/O0PnnpCbFiGXDRcpNkq8PoL5/jHbyoONcGVGsfSmehlAu689cagHjn5MNMIMwY6qdIgDUucle5yDmTOsYt177waEo8kaENKM+Kk8AiT6bHRHzMfxbTiYV/6CNSCJE9ExdkqSkSadTwVTKc3teCJFVcCISRByFXwA4mUFkEQ5vHP1QVf/c8KtmMzUFQM91qcdXJRrVxzkl67fs1vrVyx8fOwsy3ESccbVsCLlGz1o4zLL1rFosEn2yOjI19qWatOPHnDhj+dXDSIlC1Acf8TDk3PpmgJiramYIWrmziWEdTp5hjKHO821ROZpSh5hxRS4IePhUFfYrqS1bxlN8sdPc4mLkX3GNZZ5TIEzeczfNvI346PIeXTKnIUM49VFDhT6XPmmplmdmAQhMD2fYnnW9HNxvdtXFty+loPpTW1VkC1f5ix8XV/euHZi0+cGB780vz00y8ZcMNLCOAA55++kU3rVjfWjy5s3TF16UdPXDf24UWTywLLlnxtS5GFVoFeByq2puhoCrbGtTW2ZUb9TJDH3DEEnpWXDGPgG7p1ZuSoSB74HRFLKbKd5jLUxXRKw9FZnBAtjGAAtVv6qzaQndRh5t4nrDEIi4RTcKfbKt+9ynj/QAl8X9L2bFqeRatt02w7NNsuruPw2rPrFF2bVevXBb3jKz98xes3fvT6W7yt5erJjergWccbRpnxkqAo+fGyCy/j8I7PB0PL3vxnrcYBWy/82+8NjTxY6Cs79DkBPUUoOToBtTbAYI6Uqog04zCXNBUfZ76mQ/3I7cvmrWSTr0y+3m2YBcPZJ9KdsVMZq0VJORuGgxnx9+yFIeEoyVpRZL5rVI4WfU4tdMLZ02p9s2IHhCdpW5JACaQIcJ0eiqUyb33Dea13/eor/2LpxOCfSeff+ch7Xn+8YdN1iB//LV684bVmsd150O6ff+euHZs/+qn/kK6ub27VpuxK0UZKES4HHYDvh0tDQwgOW4JtCxwLHFtgW2BbIgG56ACHcVKEqY8b+SfR5LCiRvdJZmAuc7DbSPO10//YTUDB9Bu6pPqmuSZhMCZz5cr975i/JzWpEZ2zLXBshWPr6F5hW2EoHgwL7od0BTSu3WZ8tMcfHNB39kxcrtrW+jsbTe8Dw/0Vhge6rxP/UhgvaYCb4x++8DVs2+6t12t/v2/PjqumDh2Qs/N1vEDSaGnqLU07WhrXssC1wbVFeO+ICOQCy8o6gdkigqjMIA/wxPILg7vHj0Wnph4P49JP8r/StsHm/vjHMLV70yGO82vSBDKdSQNO/neezhg/dJxC7Nga19G4jqLgKApOgOOE4XiAtiepNx1qDYtaQ4EsMTkxqpYvn/zXSqX8Vs/350846XXHGxLHNH5qAA7w1LbtFArF4QP79737wQcf2Hjw8PTlTz65jf3TgoNzAj8ILZtra4oOFF1ByYWCI0OQOyLi3yK6HIfr2QRKRxTHuNgbljsGuBWB2YqsuWWAO5UZjYkDoSad4do6x6d1hlrF6QAJvZIiA+6MamQAXBrelNbpgmaBSieQlPHk1xRcTdFVlAoBpaJP0Q1w7QApNb5vseeQy449kvFFqyiWqtdtOOmURyYmxj/ZarYOjU0sO95QOObxkuTgRxqrV60AOLRj564/ueTSy5Y9u/Mpli4eu/zu++/n6e9Pc3ihQn9J0qMVTrTirpQypCoRyG1LIkUYEAmUJghScMegC/Ef9xoJR2ZlNZE6pqZ1NZ3cxC8gDcEnFNkAt1I6Cc5oQEbtHoQQYIlc/nY2jJ8oNSKlIWk5GfhBOOljkEsZqk4QAl1FlM6SmoLjUy56FN06+2cU041VrFp7MouXrrluw4kn/M78Qm1H/8D48YbA8x4/VRbcHI3aNK5jr37kse0nC6beff8P77/gQ5/dw8F9NSb7HcZ6Nf0V6C1LKiVJqSApFCwcW2KJMN/c8xXttqLVDvASDq8z1tuyItVFyojDh1Y7pDvx82nZWwxwpUNgJUtDJjpz3GAnBLdS4UTL0BTzamEJ7PhzWJFvYYFl6cTXCDP+UnoUKPA8QbMtaLbB83XiuLq2oOBCpajpKQdUe3wGelsM9dUY6D2MTy/37zqdkdFzbx0bqHyyb2jFQ0r5Ty0aHzreP/mPNH6qLLg5SpUBgKe01k8Bj/T2TE1QPPMz/3Hbo6tvv+uHlh8opAi5d8GVlIoWpYJF0Q2BEgRQb0l8X4WA8MNmNIIwxI2Muq92hBqzOnocUbWtlBsT5bCLIEz1NSmJmXSlNQSBxg/ipfjSQuvk3wmRBn9yiVix5bZECngAqQRBZLmbLUW9FfZltywouBZKSyxL4PoSPwBQ9FZaDE2cFQTumU95e9TbTjvt3L2BYmtf+afWBgI/xQCPR6Qtb9255+DWC04PXuM69uSvv+6ca2666dbq1MHdFVs0KRUk5aKkp6TpKWtKBYVScGjWYr4maLY1zZZC6VB6dKyIhsRdXE2OTDYCallECk0IMlsCIrSYLS3wiDXtKLvPyDj00fhK0/ZU1J8xtNyWBh1RCSl1EqzpkEFJ+bdtgR2pIUoJBJKFumS+5jM97xOo0CcpFzVKWUghKTgKy+qhp39FbXjV5rlCYeYKbZ+4+8rX2Dss96cb2PH4qQd4PJYuGiFQwY6VS8Z2HZ6Z29BbEOcIof5h5zPb/OlDzwy2GtO9laLPSH+T/t4GtSZIWWLbszb7phRBoCPnCxBhBh4WHVpeEh2NHb4I3KHkFt7C1mRhdLDW1HheSEGSIFPUnTVQAs/XNFrhVcSSGtsS2FoAEkmU+Sei9XK6fO8Q4Brb0pRcRcENcB2F70vm6y4H5zymFzzma4KBsmR0AGzLYmhocH7dhjVTa9astF1HvKVQWX6XcKuzAq1+nIbzL7Xxs/NNAEtaCCFUbaE2vWL5om8N9FdP+OwXr1n1usuu+MjGk057dHh4+IFli2XzQM3jb66rs9CaZnykhlOps3tOc7gWctYg0J1gMhUWQmDF/Nu2Qtmt6GrKxYC+Ho/xoSbVnjoHpz3maz7tdhAuey2h6EBfBUYHNXP1gP3Tirm6ot5StDwVavqBSpzgjqJfMkwHQdhrpFgIGKw2GRuapuYdYs9UnVKpzttef4AVK6Epq82R0dEHzjrrjEd/8YorP3LP7devKpaqJ/RUF32rVq9PCyF+psANP0MW3BzLliyCMJhX37d3F5Zlf1xK6+Nnn7HYqlRW/+0Pp/0Tzj1l33m15rPW6skaZ26c4YNfqvPsnkEqBUEFMgEhc4QiRSoNxvzbsTQFV9FTCuittBmsLvD4bp8Htw+xZFDQ12PjODJsSlnU9PcETI7V2Hawzv1P9zJS0VTLIVjD8rDQF5BaYycSptHgU6SptEGYF0XBCRjun+eJPTN8+mvjLB5wWbe8h3LPycG7f3Vky52PD25t1GrvsCwdFItF/ttvfFiPTSytH+/f68UcP5MAN8f4xBJIr+5+ozb31jdeXhzYtXvf1f/wf693m/umg6tO7j/tqlc1Tv/MtQGzC036y4KCU8CxRaiRq3gJvXSxUyliBSUqxrU0rq0oFX36exuUSrP8y39WmJsTDJRS3i8lFBxNteIz0l/nqp87wLV3FLHqLo6lwsCUgkBrLBVeTZQdgjvOiIy18EBBqx12RnMtH2ugAVKyY2Yd1b6x+y/Y1Pz+eef0WkOTv9C2nMk/XLmmMT089NKNOr4Y42ce4PlRqlQBpoHfBAhmvo60xAVXDjVerW1xRavWWlstNGnM7SAIPB57egGv7VMpSUTJQcowWcmyQqAWXJIkphC8AZViC9epM9/qx1cioR1Kh+F1x9YU3ABbKioF8IImM60i/UUdVdQAWtBsQUErXEcmAR+0Igh8yq4Cx2JqzsW2HTZu3MjiSUGhJJ6o9PVdc+G5/TfVpLp1/aaXA793vE/7cRv/5QCeH1b/pQC37jswdeuv/gK3eZ6/qrYwre67Y0oVSn0rysN9f/Dsrl0sGnbZf+Ag+/cfplK26SnZ9PVoZhZ8pucKDFYFfRWFY/sMVhtcc5vg8JRDbyG0tEGk7wkR57CHYJ8YUrxu8yzX3lKlWQmpSNEVDPVpZheaTM3aCKHo74nC6qVBhodHGO5rMDaxiNvvm/7o7j0z21ev2yzHRvuktKxtv7yEbxVKw8f71L4kxn95gMdjfHQQ4Fvx9g+3HaBYLPQP7dxzp21bTA473tq1697TagevcmzBYFVD41b+fcsUe/eVOb3iYjkWfT0zPLVnju17A2ynQa3pUm8qmi2F5wsCX6N1gBRthGgxM99i0YDHopFDzLVHWVtxGBoocPr6Fs8cXGD6iVF+/jXnMDbsUHSh7cuba7XWJ8YG687K1WvZcNrErajWjLCOff32/0rj/wP8COPEVaMAM8D1AM/u3gvwuOcFY1Kgiq7PwR33UPcFtZaNEDae73ljy0774C23bLzkjJMb3kkna76xZZjRimakTzDU51DtkYz0B4wOtKhUa9x4d5OxiQJ//m7pfPfB8RsOP/3wB0tF1xnpD5hqW7ilXjZsOJGBPhfbQmpt7Qe2Dwz99IXNj8f42VDzXyJj/vDXsC3G/vqrrb7Tl9f00skFPnfjCAMFzUCvYKDXplySDFYDhqptKuUmn/+PgMmREuef4ovvPbZ0Vgq9/9d/4ZXH+6v8zIz/B17QAnOFJ+MFAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjExOjMzKzAwOjAwMrdrNwAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzoxMTozMyswMDowMEPq04sAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 47794219
{'hecke_orbit_code': 31525197425148400, 'n': 1, 'trace_an': 2}
-
id: 47794220
{'hecke_orbit_code': 31525197425148400, 'n': 2, 'trace_an': 0}
-
id: 47794221
{'hecke_orbit_code': 31525197425148400, 'n': 3, 'trace_an': -2}
-
id: 47794222
{'hecke_orbit_code': 31525197425148400, 'n': 4, 'trace_an': 0}
-
id: 47794223
{'hecke_orbit_code': 31525197425148400, 'n': 5, 'trace_an': 0}
-
id: 47794224
{'hecke_orbit_code': 31525197425148400, 'n': 6, 'trace_an': 0}
-
id: 47794225
{'hecke_orbit_code': 31525197425148400, 'n': 7, 'trace_an': -4}
-
id: 47794226
{'hecke_orbit_code': 31525197425148400, 'n': 8, 'trace_an': 0}
-
id: 47794227
{'hecke_orbit_code': 31525197425148400, 'n': 9, 'trace_an': 2}
-
id: 47794228
{'hecke_orbit_code': 31525197425148400, 'n': 10, 'trace_an': 0}
-
id: 47794229
{'hecke_orbit_code': 31525197425148400, 'n': 11, 'trace_an': 6}
-
id: 47794230
{'hecke_orbit_code': 31525197425148400, 'n': 12, 'trace_an': 0}
-
id: 47794231
{'hecke_orbit_code': 31525197425148400, 'n': 13, 'trace_an': -2}
-
id: 47794232
{'hecke_orbit_code': 31525197425148400, 'n': 14, 'trace_an': 0}
-
id: 47794233
{'hecke_orbit_code': 31525197425148400, 'n': 15, 'trace_an': 12}
-
id: 47794234
{'hecke_orbit_code': 31525197425148400, 'n': 16, 'trace_an': 0}
-
id: 47794235
{'hecke_orbit_code': 31525197425148400, 'n': 17, 'trace_an': 0}
-
id: 47794236
{'hecke_orbit_code': 31525197425148400, 'n': 18, 'trace_an': 0}
-
id: 47794237
{'hecke_orbit_code': 31525197425148400, 'n': 19, 'trace_an': 8}
-
id: 47794238
{'hecke_orbit_code': 31525197425148400, 'n': 20, 'trace_an': 0}
-
id: 47794239
{'hecke_orbit_code': 31525197425148400, 'n': 21, 'trace_an': 4}
-
id: 47794240
{'hecke_orbit_code': 31525197425148400, 'n': 22, 'trace_an': 0}
-
id: 47794241
{'hecke_orbit_code': 31525197425148400, 'n': 23, 'trace_an': 0}
-
id: 47794242
{'hecke_orbit_code': 31525197425148400, 'n': 24, 'trace_an': 0}
-
id: 47794243
{'hecke_orbit_code': 31525197425148400, 'n': 25, 'trace_an': 14}
-
id: 47794244
{'hecke_orbit_code': 31525197425148400, 'n': 26, 'trace_an': 0}
-
id: 47794245
{'hecke_orbit_code': 31525197425148400, 'n': 27, 'trace_an': -8}
-
id: 47794246
{'hecke_orbit_code': 31525197425148400, 'n': 28, 'trace_an': 0}
-
id: 47794247
{'hecke_orbit_code': 31525197425148400, 'n': 29, 'trace_an': -6}
-
id: 47794248
{'hecke_orbit_code': 31525197425148400, 'n': 30, 'trace_an': 0}
-
id: 47794249
{'hecke_orbit_code': 31525197425148400, 'n': 31, 'trace_an': -2}
-
id: 47794250
{'hecke_orbit_code': 31525197425148400, 'n': 32, 'trace_an': 0}
-
id: 47794251
{'hecke_orbit_code': 31525197425148400, 'n': 33, 'trace_an': 0}
-
id: 47794252
{'hecke_orbit_code': 31525197425148400, 'n': 34, 'trace_an': 0}
-
id: 47794253
{'hecke_orbit_code': 31525197425148400, 'n': 35, 'trace_an': 0}
-
id: 47794254
{'hecke_orbit_code': 31525197425148400, 'n': 36, 'trace_an': 0}
-
id: 47794255
{'hecke_orbit_code': 31525197425148400, 'n': 37, 'trace_an': 10}
-
id: 47794256
{'hecke_orbit_code': 31525197425148400, 'n': 38, 'trace_an': 0}
-
id: 47794257
{'hecke_orbit_code': 31525197425148400, 'n': 39, 'trace_an': 20}
-
id: 47794258
{'hecke_orbit_code': 31525197425148400, 'n': 40, 'trace_an': 0}
-
id: 47794259
{'hecke_orbit_code': 31525197425148400, 'n': 41, 'trace_an': 12}
-
id: 47794260
{'hecke_orbit_code': 31525197425148400, 'n': 42, 'trace_an': 0}
-
id: 47794261
{'hecke_orbit_code': 31525197425148400, 'n': 43, 'trace_an': 2}
-
id: 47794262
{'hecke_orbit_code': 31525197425148400, 'n': 44, 'trace_an': 0}
-
id: 47794263
{'hecke_orbit_code': 31525197425148400, 'n': 45, 'trace_an': -24}
-
id: 47794264
{'hecke_orbit_code': 31525197425148400, 'n': 46, 'trace_an': 0}
-
id: 47794265
{'hecke_orbit_code': 31525197425148400, 'n': 47, 'trace_an': -12}
-
id: 47794266
{'hecke_orbit_code': 31525197425148400, 'n': 48, 'trace_an': 0}
-
id: 47794267
{'hecke_orbit_code': 31525197425148400, 'n': 49, 'trace_an': -6}
-
id: 47794268
{'hecke_orbit_code': 31525197425148400, 'n': 50, 'trace_an': 0}
-
id: 47794269
{'hecke_orbit_code': 31525197425148400, 'n': 51, 'trace_an': -12}
-
id: 47794270
{'hecke_orbit_code': 31525197425148400, 'n': 52, 'trace_an': 0}
-
id: 47794271
{'hecke_orbit_code': 31525197425148400, 'n': 53, 'trace_an': 6}
-
id: 47794272
{'hecke_orbit_code': 31525197425148400, 'n': 54, 'trace_an': 0}
-
id: 47794273
{'hecke_orbit_code': 31525197425148400, 'n': 55, 'trace_an': 12}
-
id: 47794274
{'hecke_orbit_code': 31525197425148400, 'n': 56, 'trace_an': 0}
-
id: 47794275
{'hecke_orbit_code': 31525197425148400, 'n': 57, 'trace_an': -8}
-
id: 47794276
{'hecke_orbit_code': 31525197425148400, 'n': 58, 'trace_an': 0}
-
id: 47794277
{'hecke_orbit_code': 31525197425148400, 'n': 59, 'trace_an': 12}
-
id: 47794278
{'hecke_orbit_code': 31525197425148400, 'n': 60, 'trace_an': 0}
-
id: 47794279
{'hecke_orbit_code': 31525197425148400, 'n': 61, 'trace_an': -2}
-
id: 47794280
{'hecke_orbit_code': 31525197425148400, 'n': 62, 'trace_an': 0}
-
id: 47794281
{'hecke_orbit_code': 31525197425148400, 'n': 63, 'trace_an': -4}
-
id: 47794282
{'hecke_orbit_code': 31525197425148400, 'n': 64, 'trace_an': 0}
-
id: 47794283
{'hecke_orbit_code': 31525197425148400, 'n': 65, 'trace_an': 36}
-
id: 47794284
{'hecke_orbit_code': 31525197425148400, 'n': 66, 'trace_an': 0}
-
id: 47794285
{'hecke_orbit_code': 31525197425148400, 'n': 67, 'trace_an': -16}
-
id: 47794286
{'hecke_orbit_code': 31525197425148400, 'n': 68, 'trace_an': 0}
-
id: 47794287
{'hecke_orbit_code': 31525197425148400, 'n': 69, 'trace_an': 0}
-
id: 47794288
{'hecke_orbit_code': 31525197425148400, 'n': 70, 'trace_an': 0}
-
id: 47794289
{'hecke_orbit_code': 31525197425148400, 'n': 71, 'trace_an': 0}
-
id: 47794290
{'hecke_orbit_code': 31525197425148400, 'n': 72, 'trace_an': 0}
-
id: 47794291
{'hecke_orbit_code': 31525197425148400, 'n': 73, 'trace_an': -20}
-
id: 47794292
{'hecke_orbit_code': 31525197425148400, 'n': 74, 'trace_an': 0}
-
id: 47794293
{'hecke_orbit_code': 31525197425148400, 'n': 75, 'trace_an': -14}
-
id: 47794294
{'hecke_orbit_code': 31525197425148400, 'n': 76, 'trace_an': 0}
-
id: 47794295
{'hecke_orbit_code': 31525197425148400, 'n': 77, 'trace_an': -12}
-
id: 47794296
{'hecke_orbit_code': 31525197425148400, 'n': 78, 'trace_an': 0}
-
id: 47794297
{'hecke_orbit_code': 31525197425148400, 'n': 79, 'trace_an': -4}
-
id: 47794298
{'hecke_orbit_code': 31525197425148400, 'n': 80, 'trace_an': 0}
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