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mf_newforms • Show schema
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{'Nk2': 2496, 'analytic_conductor': 4.982665086127896, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [624, 3, [79, 469, 209, 145], [3, 3, 3, 1]], 'cm_discs': [], 'conrey_index': 289, 'conrey_indexes': [289, 529], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [1, 1]], [7, [4, 2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504699172553328, '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, 13, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '624.2.q.b', 'level': 624, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '78.2.e.b', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\zeta_{6})q^{3}-q^{5}-2\\zeta_{6}q^{7}-\\zeta_{6}q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '624.2.q', 'trace_display': [0, -1, -2, -2], 'trace_hash': 786914484168331911, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.893', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.628', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '93.744', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, 'traces': [2, 0, -1, 0, -2, 0, -2, 0, -1, 0, 2, 0, 5, 0, 1, 0, -5, 0, -2, 0, 4, 0, 6, 0, -8, 0, 2, 0, 9, 0, 8, 0, 2, 0, 2, 0, 11, 0, -7, 0, -5, 0, 10, 0, 1, 0, -4, 0, 3, 0, 10, 0, -2, 0, -2, 0, 4, 0, -8, 0, 11, 0, -2, 0, -5, 0, 2, 0, 6, 0, -14, 0, -26, 0, 4, 0, -8, 0, 8, 0, -1, 0, -12, 0, 5, 0, 9, 0, -2, 0, 4, 0, -4, 0, 2, 0, 2, 0, -4, 0, 5, 0, -20, 0, -4, 0, -18, 0, -4, 0, 11, 0, 3, 0, -6, 0, 2, 0, -10, 0, 7, 0, -5, 0, 18, 0, -12, 0, -20, 0, 16, 0, -4, 0, -2, 0, -17, 0, -12, 0, 2, 0, 14, 0, -9, 0, 3, 0, -3, 0, 12, 0, -5, 0, -8, 0, -14, 0, 1, 0, -24, 0, 20, 0, -2, 0, 24, 0, -1, 0, -2, 0, 22, 0, 8, 0, 16, 0, -6, 0, 10, 0, -22, 0, -11, 0, -20, 0, -2, 0, 4, 0, 17, 0, 7, 0, -6, 0, 10, 0, 2, 0, -36, 0, 5, 0, -12, 0, -8, 0, 24, 0, 28, 0, -10, 0, -8, 0, 13, 0, 10, 0, -16, 0, 4, 0, 14, 0, 20, 0, 4, 0, -12, 0, 4, 0, -4, 0, 12, 0, -7, 0, -1, 0, -3, 0, 4, 0, 6, 0, 4, 0, -12, 0, -10, 0, 3, 0, -44, 0, -18, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [-1, 1], [0, 0], [-1, 0], [0, 0], [0, -2], [0, 0], [0, -1], [0, 0], [2, -2], [0, 0], [1, 3], [0, 0], [1, -1], [0, 0], [0, -5], [0, 0], [0, -2], [0, 0], [2, 0], [0, 0], [6, -6], [0, 0], [-4, 0], [0, 0], [1, 0], [0, 0], [9, -9], [0, 0], [4, 0], [0, 0], [0, 2], [0, 0], [0, 2], [0, 0], [11, -11], [0, 0], [-4, 1], [0, 0], [-5, 5], [0, 0], [0, 10], [0, 0], [0, 1], [0, 0], [-2, 0], [0, 0], [3, -3], [0, 0], [5, 0], [0, 0], [-1, 0], [0, 0], [-2, 2], [0, 0], [2, 0], [0, 0], [0, -8], [0, 0], [0, 11], [0, 0], [-2, 2], [0, 0], [-1, -3], [0, 0], [2, -2], [0, 0], [0, 6], [0, 0], [0, -14], [0, 0], [-13, 0], [0, 0], [4, -4], [0, 0], [-4, 0], [0, 0], [4, 0], [0, 0], [-1, 1], [0, 0], [-6, 0], [0, 0], [0, 5], [0, 0], [0, 9], [0, 0], [-2, 2], [0, 0], [6, -8], [0, 0], [-4, 4], [0, 0], [0, 2], [0, 0], [0, 2], [0, 0], [-2, 0], [0, 0]], 'ap': [[0, 0], [-1, 1], [-1, 0], [0, -2], [2, -2], [1, 3], [0, -5], [0, -2], [6, -6], [9, -9], [4, 0], [11, -11], [-5, 5], [0, 10], [-2, 0], [-1, 0], [0, -8], [0, 11], [2, -2], [0, -14], [-13, 0], [4, 0], [-6, 0], [-2, 2], [0, 2], [5, -5], [-10, 0], [-18, 18], [-2, 0], [0, 3], [-12, 12], [8, 0], [0, -17], [0, -12], [0, -3], [6, 0], [-7, 0], [0, 20], [24, -24], [0, 22], [-6, 6], [5, 0], [0, 4], [17, -17], [-6, 6], [0, 10], [24, -24], [-16, 16], [0, 14], [10, 0], [-6, 0], [6, 0], [0, -7], [0, 4], [3, -3], [14, -14], [0, 14], [8, -8], [0, 11], [25, 0], [26, -26], [0, 1], [14, 0], [-6, 0], [6, 0], [-33, 0], [0, -28], [-9, 0], [0, 6], [-6, 6], [-17, 17], [30, 0], [-2, 2], [0, -9], [12, -12], [0, 24], [19, 0], [0, 18], [27, -27], [0, -23], [-32, 32], [-23, 0], [-2, 2], [0, 21], [10, -10], [-20, 0], [0, 30], [-3, 3], [0, -3], [14, 0], [22, 0], [32, -32], [0, -26], [-30, 30], [0, 0], [0, -14], [-15, 15], [25, 0], [-38, 38], [-7, 0], [-2, 0], [9, -9], [0, 40], [-6, 6], [2, 0], [27, 0], [-32, 32], [-39, 0], [0, 0], [-11, 11], [0, 32], [-13, 13], [0, 15], [-32, 0], [0, 12], [0, -5], [0, 8], [0, 0], [22, -22], [0, 24], [-25, 25], [-43, 43], [-46, 0], [0, -40], [-2, 2], [34, 0], [0, 15], [0, 24], [-2, 0], [13, 0], [16, -16], [-12, 12], [26, -26], [18, -18], [0, -34], [34, -34], [0, -18], [0, 4], [0, 2], [-5, 5], [36, 0], [30, -30], [0, -16], [8, 0], [35, -35], [0, 44], [49, 0], [45, 0], [50, 0], [-46, 0], [0, -37], [-17, 17], [8, 0], [24, -24], [-44, 44], [32, 0], [0, -16], [0, 23], [-1, 0], [-22, 0], [8, -8], [0, -54], [50, 0], [0, 20], [-21, 21], [-60, 0], [18, -18], [0, 23]], 'char_orbit_index': 17, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 4504699172553328, 'hecke_ring_character_values': [[79, [1, 0]], [469, [1, 0]], [209, [1, 0]], [145, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '624.2.q.b', 'level': 624, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2496, 'analytic_conductor': 4.982665086127896, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [624, 3, [79, 469, 209, 145], [3, 3, 3, 1]], 'conrey_index': 289, 'cusp_dim': 200, 'dim': 28, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 1099545182832, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 4, 6], 'label': '624.2.q', 'level': 624, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'mf_dim': 248, 'mf_new_dim': 28, 'num_forms': 10, 'prim_orbit_index': 3, 'relative_dim': 14, 'sturm_bound': 224, 'trace_bound': 7, 'trace_display': [0, -2, 4, 2], 'traces': [28, 0, -2, 0, 4, 0, 2, 0, -14, 0, 0, 0, 2, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 24, 0, 4, 0, -2, 0, -4, 0, 0, 0, 0, 0, -2, 0, 4, 0, 18, 0, -2, 0, -2, 0, 48, 0, -18, 0, 24, 0, -12, 0, 36, 0, 16, 0, -4, 0, 6, 0, 2, 0, 2, 0, 14, 0, 0, 0, 32, 0, -28, 0, -6, 0, -16, 0, -92, 0, -14, 0, 40, 0, 2, 0, 24, 0, -36, 0, 6, 0, 0, 0, -44, 0, -8, 0, 0, 0, -2, 0, -36, 0, 0, 0, -32, 0, -40, 0, -28, 0, 2, 0, -44, 0, -4, 0, -36, 0, -30, 0, -12, 0, 12, 0, -2, 0, 8, 0, 40, 0, 8, 0, 0, 0, 18, 0, -34, 0, 0, 0, -68, 0, -2, 0, -12, 0, -10, 0, 56, 0, 2, 0, 8, 0, 36, 0, 20, 0, 0, 0, 34, 0, -16, 0, 40, 0, -38, 0, -4, 0, 12, 0, 90, 0, 16, 0, -20, 0, 52, 0, -76, 0, 14, 0, -40, 0, 0, 0, -44, 0, 30, 0, -52, 0, 36, 0, -18, 0, 28, 0, -176, 0, -30, 0, 0, 0, -16, 0, -46, 0, 0, 0, 0, 0, -12, 0, -2, 0, -4, 0, 16, 0, -12, 0, -92, 0, -72, 0, -12, 0, 56, 0, 200, 0, -16, 0, 72, 0, -22, 0, -2, 0, -106, 0, 32, 0, -8, 0, 32, 0, -24, 0, 0, 0, 34, 0, 176, 0, 4, 0, 36, 0, 148, 0, 48, 0, 28, 0, 18, 0, 36, 0, 124, 0, -42, 0, 2, 0, -20, 0, -2, 0, 32, 0, -24, 0, -20, 0, -28, 0, 46, 0, 40, 0, 0, 0, 124, 0, 16, 0, 0, 0, 22, 0, -108, 0, 0, 0, -24, 0, 16, 0, 0, 0, -44, 0, -92, 0, 8, 0, -116, 0, -112, 0, 34, 0, -48, 0, -42, 0, 4, 0, 40, 0, -76, 0, 160, 0, 80, 0, -68, 0, -24, 0, 36, 0, 28, 0, -2, 0, -22, 0, 12, 0, 56, 0, 200, 0, -30, 0, 36, 0, -100, 0, 62, 0, -36, 0, 12, 0, 22, 0, -12, 0, -46, 0, -6, 0, -16, 0, 88, 0, 48, 0, -2, 0, 148, 0, -232, 0, 0, 0, 200, 0, -20, 0, 72, 0, 74, 0, -70, 0, -2, 0, -44, 0, 54, 0, 24, 0, 96, 0, 56, 0, -24, 0, -16, 0, 228, 0, -24, 0, -64, 0, -54, 0, 64, 0, -124, 0, 46, 0, -32, 0, 80, 0, 34, 0, 36, 0, 48, 0, 28, 0, 40, 0, -12, 0, -124, 0, 0, 0, -228, 0, -2, 0, -12, 0, 30, 0, -12, 0, -16, 0, -96, 0, 16, 0, 46, 0, 32, 0, 72, 0, 6, 0, 96, 0, 58, 0, -92, 0, -124, 0, 108, 0, -88, 0, -88, 0, -68, 0, -72, 0, -32, 0, -144, 0, -32, 0, -80, 0, -50, 0, -74, 0, -74, 0, -46, 0, -8, 0, -384, 0, -40, 0, -24, 0, 12, 0, -164, 0, -96, 0, 56, 0, 10, 0, -4, 0, -162, 0, 20, 0, -8, 0, -76, 0, 196, 0, -60, 0, -216, 0, 236, 0, 6, 0, -8, 0, -76, 0, -84, 0, 54, 0, 50, 0, 0, 0, 44, 0, 58, 0, -4, 0, -36, 0, 216, 0, -48, 0, 44, 0, -52, 0, 50, 0, -56, 0, -52, 0, -4, 0, 212, 0, 80, 0, 24, 0, -84, 0, 52, 0, 80, 0, 24, 0, 10, 0, -28, 0, 62, 0, 80, 0, 16, 0, 192, 0, -18, 0, 16, 0, 34, 0, -76, 0, 0, 0, -144, 0, 20, 0, -32, 0, -68, 0, -66, 0, -20, 0, -156, 0, 2, 0, 32, 0, 114, 0, -70, 0, -144, 0, 76, 0, 96, 0, 252, 0, 12, 0, 0, 0, 14, 0, 136, 0, -162, 0, 60, 0, 104, 0, 20, 0, -16, 0, 256, 0, -50, 0, 12, 0, 8, 0, 78, 0, 64, 0, -132, 0, 82, 0, -28, 0, 82, 0, -38, 0, 8, 0, 28, 0, -156, 0, -4, 0, -248, 0, -264, 0, -40, 0, 304, 0, -82, 0, 46, 0, -120, 0, -76, 0, 24, 0, -44, 0, -108, 0, 120, 0, -16, 0, -20, 0, 28, 0, 4, 0, -300, 0, -140, 0, -16, 0, 56, 0, -40, 0, -148, 0, -122, 0, -20, 0, -80, 0, -4, 0, 16, 0, -184, 0, 156, 0, 112, 0, 60, 0, -70, 0, 2, 0, -164, 0, -52, 0, -36, 0, 28, 0, -60, 0, 32, 0, 8, 0, 16, 0, 24, 0, 132, 0, 138, 0, 24, 0, 96, 0, -128, 0, -128, 0, 212, 0, 76, 0, 72, 0, -56, 0, 176, 0, -144, 0, -22, 0, 4, 0, 32, 0, -156, 0, 120, 0, -24, 0, 156, 0, -24, 0, 72, 0, -208, 0, -2, 0, -8, 0, 12, 0, -64, 0, 0, 0, 188, 0, -28, 0, 104, 0, 94, 0, 34, 0, -12, 0, -12, 0, -44, 0, -44, 0, 236, 0, 84, 0, 24, 0, -240, 0, -4, 0, -118, 0, -48, 0, 144, 0, -8, 0, 92, 0, -178, 0, -128, 0, 130, 0, -44, 0, 64, 0, -28, 0, 328, 0, 0, 0, 40, 0, 60, 0, 88, 0, 180, 0, -70, 0, 34, 0, -12, 0, 96, 0, 4, 0, 272, 0, -56, 0, -144, 0, 112, 0, 128, 0, -4, 0, 68, 0, -56, 0, 18, 0, -30, 0, 280, 0, 48, 0, 24, 0, 156, 0, -54, 0, 104, 0, -28, 0, 0, 0, -96, 0, -154, 0, 92, 0, -164, 0, 8, 0, 224, 0, 68, 0, -108, 0, 64, 0, -94, 0, 216, 0, -48, 0, 200, 0, 128, 0, 164, 0, -70, 0, -40, 0, 20, 0, 424, 0, -76, 0, 56, 0, 80, 0, 68, 0, -120, 0, -88, 0, -42, 0, -28, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 418531
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '78.2.e.b', 'target_level': 78, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418532
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '78.2.e.b', 'target_level': 78, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 418533
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '234.2.h.b', 'target_level': 234, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418534
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '234.2.h.b', 'target_level': 234, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '156.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 418535
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '624.2.q.b', 'target_level': 624, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 418536
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '624.2.q.b', 'target_level': 624, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 418537
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1014.2.a.a', 'target_level': 1014, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 418538
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1014.2.a.e', 'target_level': 1014, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 418539
{'conductor': 52, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1014.2.b.a', 'target_level': 1014, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 418540
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1014.2.e.d', 'target_level': 1014, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418541
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1014.2.e.d', 'target_level': 1014, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 418542
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1014.2.i.e', 'target_level': 1014, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 418543
{'conductor': 52, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1014.2.i.e', 'target_level': 1014, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 418544
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 20, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1872.2.t.i', 'target_level': 1872, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418545
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 20, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1872.2.t.i', 'target_level': 1872, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 418546
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1950.2.i.b', 'target_level': 1950, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 418547
{'conductor': 260, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1950.2.i.b', 'target_level': 1950, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '260.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 418548
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 26, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1950.2.z.b', 'target_level': 1950, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 418549
{'conductor': 260, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 26, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1950.2.z.b', 'target_level': 1950, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '260.bj', 'twisting_char_orbit': 36, 'weight': 2}
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id: 418550
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '3042.2.a.d', 'target_level': 3042, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '156.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 418551
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3042.2.a.m', 'target_level': 3042, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '156.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 418552
{'conductor': 156, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '3042.2.b.d', 'target_level': 3042, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '156.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 418553
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '8112.2.a.x', 'target_level': 8112, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 418554
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '624.2.q.b', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '8112.2.a.bb', 'target_level': 8112, 'twist_class_label': '78.2.e.b', 'twist_class_level': 78, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1129900
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504699172553328, 'p': 2}
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id: 1129901
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 4504699172553328, 'p': 3}
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id: 1129902
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 4504699172553328, 'p': 5}
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id: 1129903
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 4504699172553328, 'p': 7}
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id: 1129904
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 4504699172553328, 'p': 11}
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id: 1129905
{'charpoly_factorization': [[[13, -5, 1], 1]], 'hecke_orbit_code': 4504699172553328, 'p': 13}
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id: 1129906
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 4504699172553328, 'p': 17}
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id: 1129907
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 4504699172553328, 'p': 19}
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id: 1129908
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 4504699172553328, 'p': 23}
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id: 1129909
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 4504699172553328, 'p': 29}
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id: 1129910
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 4504699172553328, 'p': 31}
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id: 1129911
{'charpoly_factorization': [[[121, -11, 1], 1]], 'hecke_orbit_code': 4504699172553328, 'p': 37}
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id: 1129912
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 4504699172553328, 'p': 41}
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id: 1129913
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 4504699172553328, 'p': 43}
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id: 1129914
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 4504699172553328, 'p': 47}
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id: 1129915
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 4504699172553328, 'p': 53}
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id: 1129916
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 4504699172553328, 'p': 59}
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id: 1129917
{'charpoly_factorization': [[[121, -11, 1], 1]], 'hecke_orbit_code': 4504699172553328, 'p': 61}
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id: 1129918
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 4504699172553328, 'p': 67}
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id: 1129919
{'charpoly_factorization': [[[196, 14, 1], 1]], 'hecke_orbit_code': 4504699172553328, 'p': 71}
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id: 1129920
{'charpoly_factorization': [[[13, 1], 2]], 'hecke_orbit_code': 4504699172553328, 'p': 73}
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id: 1129921
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 4504699172553328, 'p': 79}
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id: 1129922
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 4504699172553328, 'p': 83}
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id: 1129923
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 4504699172553328, 'p': 89}
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id: 1129924
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 4504699172553328, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 17, 'hecke_orbit': 2, 'label': '624.2.q.b', 'level': 624, 'portrait': 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U0SBIKwVmf7Bp/LNkdMT8WcWRR0+h6XbonBQKTh2LkavaGhXRc0AoEkIQxT2o2U7iDg2HkY6wBtDFdsiegNUk4veMy0fC7ZkrBjY59mY4yQhigSdAZ15jsBMw2BL31Onw84eEpw9GzC8cWEsD7glTf1ecPNEMpp9h1rc/yc4kzG3POGgwuG5149zy+8Y5ktM9McOz3LmcU688s+C8uSpU5ij27C+eWEvmmxbuM6/dPfP/0Xt1zrv/Pcou5eeuWPPNuQ+IYe/6ABvrTcIYoMSvGrdz984AX/7jc+JJ9/2ekXvPsnjnuLK5tYWJlmcaXBYidgseOx2IGlTspSJ2ZxJeXsChxaFKxft8Ivfc8iz9vd4MS5WU6fb3J6wePcouHsQsLJ+ZTzvYTp2REvvLbP86+AQNYJVci5pRpnFjzOLgkGY0gSTS3QNGspM1MJGjh2NqHbh50bfZr1McYIEAH9oWbHpjGLKx4YK0VW+jBOwGBY6kRs3eDTGyqEMgg9pl3z2bF5xMpAcOy0R6o95tqSVk0Q+pAkgsFYcnZJcmbRcG45IQxH4CfcclWfF1wtWN+us7jc5sS5kNMLcG4h4dxSwqklOLRoeO5VC/zy9yyzabrN8bOznF2sM78csNCRLK2kLHdjlrspSz3DfE9wrCPoLS9x23/rJy+7MfxqUv9xrerXfFWifybFJ6y1n22oXPDxDzbIfP+ffIzZmSnOnJ3/lQ9+5M5/++efeSQ8cW5MEqc8fsTj+ot7JGlAmkpSLUg1aO1hjMIaKyBEihCGw4sz/NKfCn7lB85xw8URrfoszXqLdiOk1fCZbivOLSrOLnt84d4an74n4bLtA664JGFpeciV28d852s1caIQGP7mvhrnOzXq6ZijZxT9fovrLk05303Ys89n93bJgdNwy+XQ6UGkPUIvYl0T9p+q06jHhCphqiVY6cHNV/Y4dDJk907NkdNjnj5k/z1/+4hD5wxTrTFL3YhPfaGBEYo0TXnp9QNuvcFwdsXnhl0jdm3xSeI2g2GdPYdrnF0QzC+nnF9OOLekOb4kONePuH73Iv/hu/qsb89w7Mw05xbrzLsVcLmT0unFdPopnYFhZQDnB5L+IOLmq7tsnlr0OktTL1k6+ef47Zfeun77K3Wz1f65R+77a2685Vuebcis+fgHyeAf+ehf8bwbtqvPfnH/fzh87OzPPfzkUXVmMWJ+5HFumHLtzvP81o+c5/pdDc4tzrDYabLUqbHU8Vnqeiz3YLmTstxNWOolLHTgxLLAq4+49eolvv0lERdvaLLSb3N+qc78UsBCR7DU0Sx2NMs9TXeo6Y4Ng1HCXDtmx0YNCELfcPK8j5AhOzcoLt5i2LJhwLnlMY8faHHjZYZGfZmnDs7SakZEkc/cjGY4git3jPjQl6a5fHvCeGxYNyWJ0yGtWsjTR0fU/SbX70544nDEucWArXMhF2+GHZsilIo5uQCBbxDCsHNjwkxL0huG9Ac+3YHPUlextAKLHc1SJ2Whk3K2A4ujlB1b+3z7Sxe49QqPmt/mzEKbheUaCyseS13Bckez0otZ7qWs9A2LfTjbU5xdSbj58rO860cWuGxrg6Vum+Vund5wChlelgb1Tb9yfrT7l6f8E+krXvWmZxs6qx7/oAB+4MA+wrBWP3f21I4nnnzm7QcPn/5Pz+w/wTASdIewPJScH0jO9GKee8k5/suPLHHdJXXOL8+wuNJguVtjqeuz3PVY7kKnp1npJSz3Epa6hnMdwem+AdHnLS/q8PrnaS7ZXCOKGix3aqz0Azo9xXJf0BsIRmNDlBjSFJQ0hD7UQ8N027BhNsbzRxw6E/HkwRCdNHntzRGev8LDe6a4aDN85oGEF10Tcr4zpOYpkjRmdgaS2MfzExYXG7zwhi6fubfFxZvhoQNjfBq85nmaRAx58lDKkZM1PBmwccZjpimoh4IgECgBiYYoNowi6A0MK31Nb6BZGWgW+4ZhmrJz24DXP7/DW14QgW6xuDLF+aU6ixkZdGCll9LpJ6w4cC8N4ExXMd9Nee7uc7zrR85z1c46C8vTrPQbdHohnZ7PUlfg1bYR1Df9/Ladl/3lzh3bj49Go+Hu3Zc/21DKH/9gAH7wwEHWr98QHDi4//uOHD7w7ieffFLML/Zkf6jpuaM7FKwMBeeHFuTPu/Q8v/5Di9xwac3p8SbL3ZCVXsByz2OlJ+j0DJ1+ykovodPXLPcN53uCMx3NzPSAVz23xy1XJOzcqGjXfbq9GqEvAUWUSLQWaAODESA0M60RB04ZtIm4/aEm40GdS7cG3HrtgFivcNcj01x/mc+Bs306y22ef+2ALzwcsnHWsOeY4f96c5c9R0M2zkrueERx65WKpUGXwydmuX53xF1PDknGDW65KmDX9hHDpM/nH1aQCg6d9Gg3PDwBg6FEG0GqDXECSI0XaDp9Q7MVs33zmBdcOeBVNybMNWucW5picaXOcteem+WuoNOHTi+h009yWbI0kJztCRZ6CTdfPs+v/NA8111cY35lipVeg24/pNsP6A48OgPFSheiNNRXXX2tuezSy37skl2Xvn9hYT7ateuyZxtSwD8QgCdJIqPx8I33f/Wzly534nfd/8BDPkii2EqE/jClP9L0R4beEDpDyfmh5HQn4ZYrz/OrPzTPjbsCVrpTzC+36PRr1jrse3R6is4Aen1Dd5DQ7af0h5rOwDDfF8z3IU7HXHfZkE2zKf2B4XXPH3PRJk2SSjxpiGK48/Eax8/X2DyT8NShGugGV2xT3HC5JqwNePjAgPmFJldf1KQ9vcy9T/jcdFmNxcEKy8ttNm0yPLBH8V0v7/PgHo9tG3wW+h2Wl2a54coB9z6VMluf5upL+5zvdHjgmWnqXpPnXm7YvWMEss/jRwQbZmPOzcfc9bjPKFZICak2XLQ54lXPj+j1FVtmNDdcBlHUYKnTYKkTstL36Q4Unb6k24fuIKXbT+kNUroDzcrAsDSUnOoKOsMxt+6e55d/cJnnXmZvjk6vTncQ0hv4dAcevaGiN1D0hzAYpaRa85znPDeOEvmT3/qWNx5sNuqf8n1fP9vYetaDzPF4QBwPvufEkYd/a/7s/tnTZ5aZbiuiWCCEcckZ+7MCjcAghEZKg5QeD+7fyM+81+PNty7xHS9f4uKtEWcX24RBnXoY0Ah9mnWPXl3SGvpMNT0Go5T+MGXjWDMcG3qjkKX5GidPGKJEc+psQhgaQBAogycFg6FC4JMMPJ5zkWDXFsOOrQPGaY/PPqjYe3CGV98YcsOVy3zgs4ZANLho64An7lVsnVasaw+oqTpR7HO+B82ax7aNgsf2Rtywu85Lrl/gj28bEvgtXnmzwQ8HfPGBiM/c3+SZI3Uu2dLgos0p62ciLl4Xc81FKUppPGUAQyMMWT8dEsU+vUHAUwd8+iOPwVDRH0n6Q+iPDP2B/dt7w5T+0NAdGlaGMD9QnFs2NKY6/Phr5/mWW8dcd0mTMwttOv0aPQfu3lDRGyr6Q8lwDOPIriDjyHDn3Q/6jdbMb82t27T00hc/7992+4M/bjcb//sCPI4GIPjB00fv/dXDe744Gw37NOsBUipGEgSCcrJVCBDCdtIoaVAyJZCSJw6s59H9TQ6cPs+bX9DnBVeNmG61Weo0aHZrtIcBfcc6/ZFkOPIYjD1GY8Mo0kSxIY4NSWqPKAkwGqQS+J6gFgimW4KZFmxap9m2ccC6mQ6fexjuftRH6ilefaPPc67occ8zMdGoza3PEXSGQ84vNrllt2bd9IC6FzJKFPPdGKUFz9nt0WiNeWRfjRffMMXzr+vxyD4FZoobrwr4gTcs8YXHIu54sMme4zV2rFdsmq0z02ow1YJ6CL5nUBK0gT1HBGkqiBNBlMA4xv6N45ThWDMaawYjzWCs6Q+hO4b5vuR8D8Z6xCuuX+KNL+jwL16pSZI2ZxeadPs1esOA/tCn78A9GAl7uPM3GqeMI81glHJ6/jSnzn12tj9KfuNbXv8Sr9sbvLfdevZA/qwBPBotIkh+YP7knb96/tgXNkgGtBshSmmkACkkQkiEEAihEEIgJQ7coJTBUwZfaeq+YGFQ58Nf2sYXH+3yomtWeMcrVrjm4j5z0w0WVxr0hiGDoe+ArewRCcaxJE4ESWKX+my1UNLgeVALoFHXzLZitm4YkNDnwKmYv7irxuETTabDOjdd5XHLtV0e2N/h9vva3HxZjR2bB3zoSwIlQtqtmJX+GG1ACVjfHtDtBeikzhtfdJ4Pf6bBrnM1Xn/zgChe5K4n54jTGs+7agOvv6nLZds7fPGRAU+caPD4kYBts5LZtqARCgLf3oTS3fzagNaGOHE3a2wYxw6IEQwj6I0Ey2PBUg+EN+L6y1d4x6tWeNFVKXPtOsvdBp1end4gpD/y6Q+LlWAwlgxHWHCPU0ZjzShKHVkYEq04da7D+z98x4b+mF996xtfaM6cW/qjzRtn//cA+Fv/nw/xkd88xfmjf/a9nojeNZjfu84TfVr1OlIklqUBKUFIEFIihUAKiZIeUqYoJdzyrPGVIfQMdU+wPFIsdmb4yJ1N7n+qz63XrfCOV65w/a4Oc2mdJAkZjGr0hz7DsUcUK+JEkjgvXRuBwCCFIQw0jVpCGEQE/phTi2Nue0hy8GTAkZMzKB2ya3PAlRcrbryiiwrnefJQi63TDa6+BDatX2ap2+aarZJEGz73YMh4IJluJrzmeSM+dVfM8bMtLr/U58zKiKcP+2zfOMN1F89zzxM97n1aMI4Crrh4liu2h1yxrcehM0scPAUP7m1w4HCThicIPUkzNNR8d84AY+zNmqQQJRClgv5Y0B0JujFEOkGbEc+9rMs7XtXlRdekbJ4NGY2mWOzU6PVD+qOAwdCjP1IMRorhWDAcWVkyzMAdZQA3DCPNaGwYRjBOFedOd/ndD9254eEDp9+1dYNKXvNjH/3Ap3/xON7Gf/NPF+DH9/0eOy5v8QPNLf/i9Mkn//sPv+qR6Zc/xyeJWkgZAZaFhDBIqRACy9ZSIJVAKYVSAk9pPJXie4LA0wS+IfQNjSBluibojX2WuzN87O42X3p8xMaZAW9/aYcrto8YDftcfbFh+ybFOPZJU0WqJSYDt9T4Xsqxc4YjZwUrQ80n72lwamEGE/nM1BRb5jx2bvK4ZCtcvauLlgu851NNlpamuPkKj6t3dfji4wKR+GyYkTQbCYM4QBoJRqK8gM5IcG5JcJVp8NIbe3z1kTpb1gXcfPUs3/+GBd7/mR4P7mvSH/ksrrS4eEudyzcPeN7uHt/64h6nl5b45D0hi4OQY2d8Tp0K8JVASolAoI0h1RBrQ5poZuZirr1qwHgcc8X2MW996ZgNU4rZVkgc1zgzX2MwDBiM7So3zIEtLbjHgtGYXJKMIs04ShlFJmfvYQTDWNAbC3qpx4EjK2xf/5l1//e3TP/3H3/D1bHa8Jd/9rO/+af853/3jn9aAHc12wqSDcPTv/OS27564g/vGD/duGx7nzCsUw99QIDJAA5SGKS0UkFKiZISTwk85Z49ge+lBJ4g8DU131CPDY3IMFVLmakLBpGkFzU5crLJr//ZLOgEkSTceO2AizdFJAloozHGJnGksDeS5wfsOx6w52CNZs2jFUjWNQTr5yQbZj22rFfs3Jxy+c4VUrHI73y8zbHj09y82+eKi1KGSY/7ngyZrvvMTRmmWxGNupVCWks6I8VS37DYSen067zw6hUe2jNg73HFdLvG866a5ofeuMjvfgIeOdikPzSs9DzOLbXZtK7BhpkRO+dG/Lu3DWg3OjxxBPadkPi+QSkbhIOx/zOQJHDRppRbr0lIY584CTGmwSjyObsQMBzbFW0UqVy+DSPBaCwYRUUwOYpSxmPNONKMYu2+lh0wiIXNWUSC5UiQ6pjDJ8d8/I6908vR9B+eXHlncuOrrvjIv/rPHzS/87Pf/U8H4PuOLiFVc8tocPSR4blD7VnvsfCaHRLPS1H+iGZDIXABpLSHUj5KGZRUKKWc3pb4ntWcga8Y+5JxpAmjlHFsqMeacayJIkM7gXGsGScQJYJRLBmnIXFaY+/BJo/vhdQYLLStNvYlBMrWfLRCuHoztOsw1ZTMtBRz0x4bZmHHpjGb168QmyV+5+NTHDo8xQ2XKC7ZJtm1bZkvP51wbnGKGy+WzLQ1tWBIKEOMEiSpRBhDkkYs92ucW/S54Yo6z9nd455HamycETRqLW7Yrfnxtyzy3z+hefpUi5W+ZqWnmF/2WDfdZKZdZ6Y9RbsRs74Zs/OGiNBP8L0EpVKksMGEwd5Ucaw4P+8RJ4o4UUSxYhy750gyjiXjSDKKJONI2AA1Eowjwziy53UcpUSR0/Sx/fooglEsGMXQjwTdWLAcSfpRjEgGmDTl4FnJU/v2NC67TH3gKrGsf+Jn1n/8Xd//P9P6lh/9xw/wn/+ND/PJ2+5UR852X/j0kRPtpaXz4bi/iaf3Sf75K7r8v+/scOW2PhKDcLNGpNQopVHSR0mDrwy+p/A9gx9JAl/Yi+ALxoEiii3Q49gQJal1RZLSkUKSGtJUk2qs3tbk4M6kkCfB9yH0BLVQ0AglzYZiqiGZmRJsmE3YuWlAq7nCx78acdeTs6wstLl2h2LnZp/Lto9IxQqfe7BB0/dYP6NoNUY8eQieOexxzXbDYKy47rKYa3cZzp5JmV8OGI4avPamHl95YsiBU4pmXRIGba65RPPL37vInU8P+dSd61jsGnZuSFnueEy3FVNNn1bDp1k31EJNGGhCL8VTVmpJ11ppDDZhpQWJliSpIEkEcSKJEkEcS8axdV6iWBDFhiiCcZwSxZqoRBzjODucSxMLhrFl704k6SQwHEfIuM9zLlrml965xLe8fMxj+2IWFu6tXbnlhg8uHPL/ZWzWf/Tsgfelmy77/n/cAK97Wq50O99x/Njp33vsyZNhN9pMlCYwNeZv7gmIxoq3vrzH217eZ7qd4Kk6Smqns60e9j0PP/YIPcXIt0wz9iVRIIhiYS9OrIgTiGJpHYSksP2SVJOm1l1IjXNK8oIs4aSQlT2BJwgDSS2UNOuCdsMw3dJsnB2zfqZHYlb4yFck7//MHBtqNa7dIdix2eeiLZqdm5f5+H2GpaUaV2xSzLSh1Yg5d1RyfjkkuBjGsWD9lGR6Gg4cMSx3NWcXalx2UY2X39jjtrtrzLUgDAKUnOaaXYIffv15fHmev7lnhmdO1djYjdkwnTDVVLTqikZdUg89wgBCHzzPOkzWjSqBHHtjpxrSVJCkOKBDnBqiBOI4taQQa6LsOdbOdsxcGQvuYSIYxYJ+LOgmgm5kiEdjpmo93v6aBd7+8j6vvlHTXW5xyQaf7TM1lrvHasNR8w9lGHpCBH+O5Zl/nAB/zx9/gkTr7/3KfYf/y6FDJ9rrG4paYOgmPsPEI5EBn3sw4L6nG5xZWuT/+tYhM+2EWpDQHdTwVIDv+fieTxClRL5HEFlpEsU2lW4ZR1gmcqyUJBCnkKbWSdDauGpDk8UDDtwW4DZwFfieBUgthEZN06onTLcS1k8PWTezwlf3Rnzw9jr7jkxz0ZTPrk2wbVPAto1w+Y4ug6TLA3va1JXP+hnFdAumW2NmphKCwEMIe3MNxwFL3ZiVgaHTTzi/HLBjU4vnX3Ge2x8csO9Um0YY46sAIabYtVXx3a9c4LmXn+eDt7d44KlpFvseG9oJ042ERk1SrylCXxD6Et+3sYpSOPvQotxg4yGtyYGepNqtbs5aTDRJasGdxBAlpjhi68qMHLAHsaCXCHoJjEYJOh4y1+jxo9+2yL/7zgGNmk+n12QcB0RxQBT5jCKfUedE26v5v9Oauy448OQn3n/ZtW/+xwfwpeUOSqkf/P0/+tivHj9+cq5ZE/ipTUoEUtOXgp70GSnFytjjv/ylz55Dy7zxxX1een2Pjesiet06w3FI4CeEgc848ggDa+9lAI9jSZTYZTdOnKed4qw/HHNLtKEAt01SOuYGT9mESeAbaoGmXkto1RJm2mM2r+tyrjPg3Z/0+dxDsywtN7l0vWDHBsHWDQHbNggu3jLCC1b48F0eh0802b1RMtOSTDVTpBxzat4QehIpwBhBFHvs3NDlQVK6A8Vy13Buqc7ubTW+9aUdPvrFgKPnQnwvRggfbZrEieTGi5fZ+Z1dPvfIgA99bpaHjzbZOiNY10xp1lJqgSD0BYFvYxVPYQNnKfKaDIO9ybTBOi2pBXwG8iS1ks6CHaLUZiqjLHmUCIYJ9BJJP4FBpEkHY7at6/KSG1Z404sHvO6mFF80WF6uESe+BXfsMY7tNYxiRbd/Zs5r7HrX5c95ixqNOu+t1f5+Jm79vQB8ablDEPjf/+nP3fWrjz3x9IbAM0gpkLFdNpUEXxoCKegnkr6s04l8PvzlGnc+0eOGK7p85ysHvP7mDnPTIcNRyHAcEPo+UeITxV4eKCWJIk4lSSKJU0GSSNJUuBpxp7W1IFclBufS2GSRcsmiwNeEQUo9TGjVx6yb7jOMh3zxScNffHmKB56aZibwuWarYfOsZONcwJb1km0bIy7ZuswTR4d88ivrmVIe66cE7aag3YjpDFI+c1+NVmDdIW1gOPZ4461jPn2/rYnp9DXnlz22bWjx5hf0eWBvjz0HApphgpLCglw3GEVW63/3yzvs3nyeD9/Z5d5npjm+XGdTWzBVMzQCTc3TBD54SqAkLkFm/+6s/Eg7qaZ1scIlDuiWICBOBXHqgJ0KRolgkAj6KTbmiSKa9QFvfvUS3/nKLjfsTtk46zEctuj0gxzYUewTxx7jRBFnwW0kOHl8zwa/du+vXnLFi/Rg0Hlfo/HNB/k3FeDLyysMBn2U5Hu+9KW7f/Ozn/vCXLezQi1UJIkDd2KKgE5CqKCWCPrSZ+ArTnYDTt/f4P4n+3z02h5vffmQ19w6YnY6IBqHjBPfnrDEI3ZAT1JFkrqETVoAXBvH3LqoKctsSKvzDZ6nCfyUMIiphxGt+pCUIV94RPJnX5rmqSNTiDjkohnD5mnDumnF+tmATeskW9bH7NjU5cR8j9//VJNkXGfbNsF0y6PdhHYjRvgR3WGT6ZZBCIExECeS2VCR6IReHNAbpCx3Fafm61x1SYt3/vMV3vXnIcfmm3gqdjeGR5LUGEWSTXMhN17a5dpL+jx97BR/8eU6tz88zelOnWaoaAXQ9A2BZ/AVeNKe8yyJlj00YLS96VItSA0kqW0eiVNBlNok0TAVDFMYJoYkSdDxmLnakNe+YoW3v6LHi66Jmap7REmT5Y6th8kOS0RZUs3JykgSJ5Jxv8sTj961YRyp37z08puS+XOn/6TebNJsfvOA/k0F+Gg0pNVsvem++x/63c/d/sX2cNCjUfOIU4MUwjKnNBbkQuBJg5cafCmoKUE9FQxUyCDxOT+u8Tf3N7nrqQHPu6PPv/q2Hlfu6LJhWtFueJYdEp8kKUCeZgDXEm0kxlhJUHT4uFS/MjaI9RLCIMFXEd1hzHw35rc/XuPI+Rke2TON0QFzdcGGdYZ1U4K5tmJu2mfjnGTTXMLW9QPmppf53KOah5+Z5tptgpmWpNWQtBuaZj1C+GPC0MNT9vcbA2kqGY49hqOYRAtbDtw3LHV9zi62ueXyPs+/aoUP31GjvqTwZGwBaTySNCCKJcOxz7rpGs/d1ee5l/Z58CWnOTYv+eDt05xfaXByMSRQkqYvCDIZJi3J5ESeSRUskydGkGiItWCcwiiBSBtIE0hipBqzZWbItTvt9bjpypR23SNJmnR6IeM4IEm8CrCtLSmJEpXLyew5igXjfo9HHrpzzgjvdy/dff3ycDj85DcTk980gJ87fYANmzapT33yo5c+9cz+djTq0ax7RLFBJdpJE4NKBEoYW+uRgpdaoAepIUwFDSUYKsHACxmmPotRndsfnuKrzwxphmP+5es6bJtLuGjLkFuu7uEJRavhIYSVKzYraWuljSkxt7MhlbCeuSEBmfD0EclDez1ue6DF08dbREmDlqdYXzfMNg0zDWN98LbH7JTH3LRg02zClvVDNq9f5q6nxrzntg1snvZY34Z2U9FuClqNhHo45qv7FaPIw29aUBkjiBJJzVNcv3vI/U9O28KnYcpK12dhJeTcwgzvfP05Ti4scv9j6/ElIGI05AAaR5L+0GOmVWO63eT5uwe85NoB3/myefae0Hz6gRoP7K2z/3CTRHiMx4pBrFB5fU858HQ5AaNJtMFojS9SpoKIGjHPv6HPxZtHbFsX847XjKkHkmbdJ4oadHqBW0k9Rzgq99ozcJePyNX+WKALxolg6XyXL3/5nva+A2cuffvb36aeeGpfet0135ymiW8KwE8c20PYmA2OHHjo++pB9F/i8TLNRsA40oAGIV0VoM1QKilQKXipZXBP2qXRTw1haqgpQSMVjDWMUp9h6jNIa/R6Kb/54RlMErNx/YirdoyYm0p468uH7NgQEcfC6W0JJebG6U8pNUIKPnZnnScONRGex7HTDU6da1CrK6ZCwXTT0K5p2jVo1QVTDUW7pZhpecxNw7rphI1zI7Zu6JKaFT72lTbDfpPLthnaDUWrIWnVNa1agu9HfO7+GuOBxN8A0oEpTiTNuuK1zxty96Oa/ljSH6Z0Bx4rPY+ziw2uvLjFW1/U5ZGnGxxbaqGkBmKnl33iVDGObWKmP/Lo9ANa9QbN+pgrt424+fIRJ853OHpmBc9Pefywx0e/3EAoW7jG5PxB466VMcRRys6NCW9/+ZB17ZTLdxo2zkGa+IyjFknis9z1SWJFnHouDrKAzgBuYyLpXC2Rv44TQRw7be8s3nGsOH9qnlp7y3/58l0PDK64/NL3P/Lo09GNN1z9DwPgBw8dww/O7V6cP/XuPU89JNPUw/ckWjvDQrgKQQkqFajUoFJDkgq8xOrEODX4qQV6qA019/1IG6JUMNaScSqJtE+sYb7f5stPaAwpf/1AjBCpvUjGXiTIfrdFt61IlEilSGIPqe1nbIVw8XpD09c0Qk0jhEYoaNYlrbqVQ1MtyUwb5qYS1s+M2bK+R8oyv/1XNe55cgO75mCm4di7IWnVExr1iGZjSL3eIFQSJZ0Gx8qBOPYZDQXDcUpvrOiPbNdSp6dYbgacPDfFC68a8+NvO8dvfdTj+EqIEBpjYnRqnDshGY1tGWtr6NGsBTTqNRphg1oY06pH3HhZRODH3HRZwjteMcBTiUsCaYQwVVHuJJ3WtpIz9BUQMBp7LC57tm4nzWIedySyiIFc4VoG7sQF/dbZchZu6nz3zH9PrAkgBTz88EOy3fDfHXjjrwyHo6e+Gdj8OwP8Ax/8KEsdUT96dO9bjh49JALPWlQIUErgI21wIw0yMa6Ou8gcJspG7F5qex+TLKJPXVSfRfZaFO+1INKSxEhS7RHrkNTZXuVHnqUU4AlhA1sFtbqh5hlqKiX0IfSgFhjqoaAeSBp1SaPmWYA3BdMtzWw7YW56zIbZPls2LPKe2zQfun0j26cV61qadlPRaiiaDWjUU1r1mDOLmkNnQmqBlWeQVfoJRpHHxZs0m9aN6I4ChiPjWFyy0vNo1Wu0GtO84xXnOXzmLH/4ya140sOgSXVKog1x4jGOFMPIFkUNapLGyKMe+tTDlE7PxhiBn9qEmZ/iSdsoIaVN52fFbbZ0RQDCgVzQ0a7KUtu4Jk0lWksSXcQ7SSpKAX72uvTswJ0duY2bCJdhtnGA7yk2zIYsnHlarJ8av2XHzosO3Xf3J4a3vPjv5pH/nQG+aUM96HSWf3p5af6n43gsQ8/HGJDSJhuE0JY5hS1DTaXT38p6rp4Dc5q6DJt2IE9tyWf2teJ1USlnvVyRB0plzQ3kkkgK8KTGk7iaFvCVwPeM9Y09QS2U1AJJPVTUa4pWXdJqGKaaKdOthNn2mHUzA3ZsXOSB/WM+fOcWZmohG1uadkNYcNclzZqmWUtoNcY8sA8e39vg0vXG6d4ibT4cK2663HDZjiEPPjXNYGwYjlL6Q8+B3KdRq1OvTfPtL17i8f3nuX/PJjAKrVNbDpsYktjk9STDsUdjZKjXFLVAEwY+YZASehrPS/E9mx22ZRCu7kcYEAZBoeeK4NyWEOvMkdKZ/VqyYjNgawvg4n2WLS0fzqVxwE7cNdcul6mUZDAcy1Onz/+HsW4HQdD8FSB61gAexwM5Ho1+8RN/9eF/Gw3ng5m2n7slBtBCILW0wZ07oVoVCQWlDKm2OtyeOINOyV9nf3xqssybQbtMXJasMMZQyrxXVtwsVZ0ldJR0GUtFqWjLZv/CQFELFfVQ0KgLWnVDu5Ey1UyYbo2ZmxqyZf0y9+8b8ot/vJHjJ6e5ZJ1mugHtuqJZVzRr0Kyl1GsxgT+iM7LFYr6yeYDskWrLcHES0K7HDBLNwNVZD0YpvYGkU1c0eiG1sMVFm2J++fs6/McPSO7bsxGDQhtNmmqSNCFKNFGsGEWKYSipjxW1QBIGhjBQhJ7G963f7yljAa5cUZuTKUKYaoOuS+0bRyLG1bKkDvCpLp4tGUn3LAqAZ6/TojQgrRBakWHG3fhxIljYfzrYNqz/5Hf9i+/ye73Bz7dajb91Ov9vDfBer8dolPzKU4/d8697K8drc9MecZrd/dlSbD+00oI0A7h2LO7AnaYO9BmAtcnTyDr3aMFoY7vIS/9+djABcCe7XWBpJYqSAqWsXea5VjTfk4SBJPAVtdCOZKiHhmZN02qktBsxU62I2faQLetXuH/vgP/4/nXsOz7LzlnrsLTqkmZDWvauGxq1lEYtJk4j/vSOFlIpfGlQorAJtcmWcJ/vfvUyn384oheFDBzA+0NFr6/ohB61ICT021y+PeE//cAiv/B+wb1PbUQbSaptWj1ObKHZONKMa7bcNQwFNV8QBjazGXgmz9h6SiOVlYpZWXIO8CLlCTgSweYSrNviAvkMwG7qgM6Tazh2J19xUwfoJK+DKYCd6oywjLuetmTgmb1Hand88c5/889e9wrR7XZ/pt3+203P+lsDfP7cYYzRzz984NE6OqIeSry0ALUxRb1DqkGmAiUFaZ4ezsBdALvM0FoX7VcW6MLWUWSgzk78xOfKAJ7VYGSZvIy9PS+rO5H4vrT1G4GgFtqZJ40wpVm34G43I6bbQ9ZPd3hg74BffN8sTx9bx7YZwVyzJE1qHs2arV+p1xLqYYTvjzm1OIOvBEpqZ8sVQWaaSpJEsXnGkCQx3bjmOmU0w1FKbySpDxS1wCfwa/jeFFdsS/hP3z/Pz/4R3P/MBlItLcBTQ5ykjsk141BTiySjQOUSzPfB96xEs3Uq1r2SmTfuntfAuJUruKQQIk8OaZccyrLFaVpKGpXqXXQG7tQUK3EObrPqWqdaM44Svnr/w/VLLrno+fLvsOPE3wrgex7/LL4YNR575PbAJMuEgdXNqqSl8xOQ/aGqqGLTUtg/0CMHe/EHlmVI8b3s7s6Z+wKfTYqiiEpKGwtk4FZSukaJTJ5AzYcw0NRrhnpo9XOjHtNuREw3h6yb6fDwgRG/8N4Znjy2ni3TivVNzVRd0KpJGjVFoy6o1+zNYVP9EffvEfRHATWFu8msdMMUgWaceDRriluu7vHA020GsZUpw3HKYKjohYowUAR+4PTzNFdu1/zaD53np/4A7t2zgVhLYq1ds3TRgzkOJGGgLXv7RR29p7IDJ1MKGSddlnctkGdJIZMB3AE+zZ0XqitvJi3T1YDO2Ds70vK1zxg+hbPnlvmTP/9k8G1ven3jz//y04PvfPs/+/sH+PL8UaZmt00/9fDHfx8zfLGnEoRQFtzSATmldGcXS5XWOMYugV+JtVm7BGhdWr5MQStV3S1sQZGQDtyuyEjlAHeujmeZLPCxnUCBK7AKU+pOXrTqY6ZaQ2ZaXR47OOYX3jvD40c3sGnaY31DM1WHZk3QrCsadUUjZ++UWpjQaoy46/GAlU6NmZkiTZ4BRjttGqeKDXOKVzynz10PadtFE+kSyCU1X1LzPXwvwPPqSKm5crvhV3/oPD/1B4Z7920g1h6xqwC0Za+WycNY5tWFgSfxnMPlSYHysnND/vmymzCTKiKrSqNICE0euvSsdek5X3nXYOsJOWpNg3KVo+snjVM6neGL9x448kc/+H1v/ZG9B46uXHHZRX+/AO91TzMczP9UZ+nIdySjeQI/INUaKQWpdIGHMjmgy86HTrM7u7jjM/mR5jKEiibTF2Juh/QsI5drb5lV0BW6O6sY9BS2PsMz+L5tLK4FmlqQUq8lNGoxzdqYVmPE7FSHR/aP+ek/WMdjhzeyYdpnQyNlqmEcuB171yT10LJ/LUxohBGJHtOLQoSS+BmD5xpcuGXc+cWxTzMY2XKBqMZMBvJRyiCwDB4G0tbEe9kGtIZrLjK860fO8e9/T3Pv3o3E2mOcCqJUOxYX1GJN6BsC3/auei7u8JQtEVZSuvPjuvKz51JhVn5jlmOdCXDnJFQipjK4q0B2ZcsV5qYAuHGVjQ4nJ88s8vTeI99xz72PHoqi+Gf/Xhm83zlOo71t5xP3vefaaHCSMBCkRpOmogpw7SRIHnkbdCrQKmNuU7rTRX6iUl0+YeWAtchKmvKambF2OajMllvnsysXTHme6wxyRUhZ9WDNT51ujqnXxsy0B0w1e9y/J+Fn3rOORw9vZP2Ux/p6ylTN0HLgrtesnZiBux6m1IKEdjNiz1HDnY80CaTEV9oFcYVHkQXOcapItMdLb4y59JI+h47XWd+g6HMcpwxGjoU9hef5Lo9gveurd8Kv/fACP/sHmq88vZ5RXLfJsMTQcDXcoY8FuZetXjrvbZUqzVc4JUUJ4KIEclbplQLkpgrwvEKxWHkzNs/eF+aBqTB9GexJickNigOHz3D7lx669hd/5od37jt48tjll2775gO8u3Ia5U9fdPb4vf8tjRfeJOgTBB6pTkmlRGlIlczrr9OsTSq1XmqqjAOzyUFdXtIKO6oUuZddklVuiWPuSXALg1SZLVh47r5j7sDT+L4m9DVhYJsramFEozZmdmrAcm/A3U/Br/3ZJp44uI51DtzTdUOrLmjWRO6VW+dFW/YOLMDr4ZgoTRkNa9SUvcky6zTHSWa1pZIk8ayW98aMI8MwFiWAa4IgJfA9fF/iKZW38WVZyOsuFvzajyzzm3+ecO/eOU532oyakunU0EoMNTdxIPSN8/4zJ8Xk7J1JlQzg+ed1H7qM81whuoti8mtVKr8tSUpbzVkCtClL0TLQLcgLd8UVgGnBYGXAqbNLb/rMHfemL3/hc/7N0WOnj160c8s3F+Cj7hFiv35zd/HptwxW9hEGAalOcwswZ23lGFpL+4eokpWU6XAnUexybdwJEKUTsxrg2Skuq8LsIthxDxl7F934xXAgWxbre9qNmUhzcIeBA/dsn/nlIb/6pw0+ed96FvozrJ+SrK85cNes7m64wLIeShqhcQxutXctjICILz0WsBwHzIVU6rER1RUqTW3zQzv0ePkNA+7fF9GLQ6byjnVNMLa16oFnAe4pg5I+QtoEDQau2C75rX/V5dP3D/mV923k5MIMw2mP6UDQSjSNBMLYjl4OlB1o5GeBphR5EJw9lwP18o2Z5TcyoBfkYya0uSlpc1PR6KYE9DQDfy5XCoMitxmNQOPxwGMH2bp141vareaf9vrDo99UBk/jHtJrXrZ0+ks/Me4+TL0GxqQls9+UpEk2kD5jarEK2AVTi7xe22AKG2qStcuyxJ3ojFlkPkclK+RyAFfGluN6WW+n7e8M/JTAT6gFMWEQ06oP8bwBdz2e8kefaXPbPRuIdJsNbcG6mpUl1gLMfHLlDuGYu8zeMZ435qvPTDOIPDY3ss8zyeCZVJPEiaLmK55/5ZBEW4APY2G71rPO9bG2waEnHIvbG1m45LpBsG5a8B0v69MKT/O+zwy5+5k5zsZ1BjVJOzE0PWNB7rk4RBkXl7jiN5mdQ1HUjkuQFCw+uaNgLlWyERVMavNy9xBFfJXp8dLXygDPYrS0/HU8br/7GZ5z7eU/8fZ//sJHV7r9A9Pt5t8d4IPOceLlDyP92S0i2vcSX5xFhg201kXttc4ykQKtdQ7yCsDL4DYlrzzT2mRALwO7ZD2U7SthJqRJlpWzFYN2tJtrXHbM7StbixH6MUEQU/MjGo0RQTDgz273+PU/2cCh+Vn8sMamlmA2TGmHhmYITddhXw9ttrPmEkK2fiV1K4GVJwvdlH4UEChFIE0eYFL6U7IbO6vdiBKfuj9i0/SQlUGLYSzcuDUbK/h+6mw+5exOZQFeCVxt5eObXtTnpqvm+bUPjvjQ59azlDQZhD5NX9L2bA1O6EGgyJshvCzpk8+hEXkWOEsAlUmlKlbKQGfNFbgAdxXwZZmalggwzeWKKJJDxuPg6S6fuuvpl5zrDLecXegceGbfCa66fPvfDeDGpND4tot6K4+9Z/n8fgIftIltalbJXEtaoMvcMUnTrJaBHOw2GyZKAWQRYBqKoBIj1vS5BaZgE5kN4iwBXBqUtJNnC+ZOHcgTAs9KkjAYE/pDjp5L+MNPN/nEV+Y4fG6GdsNntgYzYUorNC71noFbOnDLPClUc9o7DOyN026O+fhXPQ4cq1NzE7jydjEKlOdjHIw9d3HiccVOeMNNPf7os3P0Gx5tN3skjFzcoDSeJ93YOkog90sXy64KO9ZJfua7Blx78Un+4LZZDp+dYimpM/A9mkrQcEAPpLE3jnOZ8tUvO6+ZfYjV50Wm06z2yTNiykonzOpYKr/WJYlSEF+hwbPuotRp8MTYJoxYeNz/6AHe+JJr3vO2Vz/3dfOL3a8rVb4mwBe7EY2Wz5NP3b0t6T2wa3PtDOCTak2qlSuflKTSdtCk+Yw/af3tEotnTkjG6Kb0NZOxdckGtCye0bap6MAM2MIVcOXDgqR2rknG3im+l9jOHS8hDMcE3pheGvHujwS879ObOLU4jVZ1ZqcUs4FhKtA0HHM38vS9dHUqTpo47zwHd2Czl+M44sDJkH4UMhM6FydLOmWuRJaFzRgqlcSxR7vpcfG2CBWO6EUthoGgHhvGGcC91CVqlPWxZVYCvFbwqlg/NeCdbxrwlpee5X2f7vKHH5tjYdhk6NWoeYqGJ6grQ5gYy+bSShVPFuUNWZZzFZOzhlyZdFiYYPIswCwRWVpi8SxOS40FdaohdsAeaxg7SXfgxArPHHh01+6L9bYbrn3RUWMGCHHh6bVfE+AnTp6nN91ef/hs8yP/8/33+7/6Q312b7O7BiepbRezzontpFFSluSIBXvO2BWglyvWCvbOgsg11pGSHWhyYFfkSTYsSKUW4F6Kp1ICP6YWRAR+RGcU8dUnJH92e5uPfWWOUdoiCALmAsF0oGkGhkZoaAQFuGuhJAwloZMmNjHknAkH8MC3mc8jZwx3P9wgin3CplkVYGaPIstrz1MUK3zf4xU39fjwF/rsO9lkWHPNAL4hSMCPNX6kUUpa31ragaT5cB+g4rFrSSP02Dg95N9/+4Ard4z50O0tHtozxfywyUgF+L5HzRPUJYTZgKXMXpXGDT2lBPJqzcpkcVaZ0fMVucTgdjZLVY9n9UXlvtBYQ2wEkQP2WBu0ThDjiCt3rHDTRZ/0r7joho9ovfycNF6Z/1sz+M4t0/Khxw/c/JefuHvqCw/N8LNmxH/98UUu2pQyHNma4jTxSGWmu2UObu0GWpYZXOegdkcG7ArIHUOUCBzbo2OZPE8p67zc0+pug6dSC3CV5nLE82I6/Zh7nhL88Wfb3P7IFEudFrJeo1VXTPuGdqBp+IZGYKgHONa2zF0PJbVAUQsEtQBXoacduDWhb/W38sbsPwmnOjWbWHH6tpo4KepnbB+kcDpTEkUeG9uCy7YPefJ4wiD2GbsZ30GEBZ/KJutmiRo7Zrr8KNwqJ39SWx/+9lcMec3zlvnioz0+8Lk2D+1ps9hr0JEB/cAjUIJACkKJ7eGUBk9kcY2bQiBc2e8aDL66fqV841GRpBnIs3Ln1BSaOzZ2f9HICGJXl4KJYTRm15YOv/7OeV5wRciZQ3dOzWyp3dyeveKzfI3hQV8T4KdPnwkDpX/vxImTTalq3P/kFHc/3eGKi0ekie3UUcLJFS1RWpUALiq9kdoIcIAHqgCnWNoqvFCRJqZSoG9liXaaW6NkagfiZ26GjJnvJdz1sMdn7mnxybunON9tImo1/JZP24Mp33by1H2c7IB6INwhXcmp092BIMzYOwO4lxAECbUgwpiYLz0ScuxMnXWzAl9mXUyiaPQtsV1efuokxXDss3Oj4BU3DPjEfRH92GcYC2q+IUgsi49jU1qlVO5XI2RFpthD5qRjs6Ye9XDM21825FU3LfLXX+nx6Xsa3PVEi/OdBkMRMAw8PF/hCYEvBb6U+MI4qWVQiJI0rNqHa5B5xQXT2bOLr3JQlwAeO4AnBnRmt5gY0ghGY152TZdbr9EkSY2F82eawYz8vVifuxIY/q0A/pUHnmZppc+BU11GsUFHhiefCVh+8ZBmbYyIDKnQSKNQWqK1ygvjLailCyyzDneZL6VZhZoNKCeFiagGlCVg2/Y3K0mEA7jnpQReTK0WMxqn7DsFR08r/uKOKT77UJvzy03wa3htn4aStHxDy9PUfUPdh5pvwV3z7UxCW2YqS4dw3zcO5DoHeeDb9rRDpzVPHgnB990yb0opelFBQTkIS9OsZtqOc77m4jFXbeuz91SDYU3QSARhbBgrnLWnHXtnbkpmQRZaJffZnW7VWrnpA3ayVL0+5ntfO+aNt6zw+Yf7/OUXGhw9XWPvqQbRSkgSeow8D6ms7FSA554zJs+lC0Xwv+phCtfIZKyNswENpDgw54e2w5mMBpOCTkDHkMRMzYy49qoxrUaCSUa0a2forzyJVK2vBeELA/zEqTNiOBz+xB9/6A/X/fMXn+WhvYb7HxfsO6ZYTmCmEUMKUqQoo9z0qAzgMmeRwjXJutyr4C7f6Tm8s0g913w2qSGz4ZzCMnYY2kmqSZpydhHu+LLHoZN17nygzqnlOodONyEMUQ2Pmqdoeoamp62L4NvB+TXfjmuzIM4O6Q7lAI7T3A7cfkroW/a2N1bEkXnYc7SBL6v2YC5RKOrBc0chc1K062tMfK7aOeSyDQOeOpwwSHxasWDsQZDYmYCqBHApRb5BQMbkMGHBZTIolXkfZZz6jP2Adj3iu1895kXXdjm13OVLDwYcPhHy+UcanF6skQ59tPSIA4VwOxJku25IXMYTctnCxAJcLmnO9HjG5HmjSgZodAnYqX3OQD7QzLZTLr8ooV5PuOfREfc+M2TD3BPrXv2KH/6J+bMn37V+07Y1w7cLAnzx1J0YnXzHK64737xsR5+Fbo/9J+020o88HRL1Y3btiKmZhDSWDtjWVTFGopGYDOgO1DgWh8n2siy4NIXPXWHukhRRKX6YEqeGwycETx5W3PFAg6eOBDxzpE53HDKOQvADVNsnVIKGgoanqZd84NDL6jSysllbFx46WRIEiiCQ7gYwhfb2U5tZ9K3OrwUxRkecW5KMTYjnSQJp8Eo22wSBl1yEar9jlPgIPNbPRkg1oh/7DDxhnY64KBjzlK5kIKUoRbHZsCMERsuCyUuDkfxU5eMnBuOATTMROzbG3HjJmGE05F8e6fDU0YA77q/x5JEah4/XiBMFocJIBcI6Z3k2qJzMnwB4VZznPrB7zhrESw3j2oHcaIg1HimX7Iq55uKIv/hcnT/+RIO9J5qcWFrH9duHzaX+fd/hKe9d/0sMvnL6Y4xHfXX6xD6xfWOfqbpk5/YU48FP/tdp9h/yueTihGuuiHn1TWNefn0ExiZS6k0DWtqwUAuS2AK+CCSLwv/K2TAW0Lj5Jb5nQGiENMSRYTCyjH70pOTPbw8ZxIrHnqlx8ETIQj9gnAbgBaB8VFsRSEFdQUMZago7zky5wiNlWTvwhU16lMHtSwInS8IAwgDnmtiUue9pAj9xGdGYei3i/HLKHfe26PRCZqYEntR5yUCGg8lHbp3lWlwyHivWzSlec8uIzz805HinydCXVqZ44CcGP848a+exy9TahZRnncj8d2jjlX6HBXqQKlJPkfh27EMc+9ZK9WOaQcyLrkl4/pVj3vySEftPSB7f4zOMFB+6o8GRsz4IyWDokUYqK9/EeNnSO2EZldO3uQ+s82eRGIR2mxAYQ72R4Pt2N72X3zDi1TeNufqKmF0XJ+w/5POT/2Wax/fWkdMhB84I7nrgsLj+hqvVf3v/55N/832v+cYALoShVm+8e8P0yet8uYTyBzy5T/K+Tza445EGGMmJx0PufdLwkTtS1s+kGKO5YXfM2185ygvW109prr8mollzq5AReQ5s9TUX+XCezkDw+BMei11JvSZ5YI/Pp75SYxQrRrHizNkALTxi46OFD56HCD08KQmUoCYNNQfsUBlCZWwNuOc8X69g7iDry8zBrVyPpsjZO/A1QZAVaKU5ewdBjFIRX35U8Yn7WqjAs3ZbRX9fmMEzLzxNM8dDMRr5vPHWIZ/8apcPfWmKflKj6XS4n+nwOEvKmLxbSAiZA8z+KlnS+iWAazfawbNM7nuKxPPwktQCXaUoZQfpz9QSbr084ZbLY4wY89aXDRjFdpzb33wl5ME9AfVQsNBVPP5UQHcgnUoSXFCU5ztP2NbA658Ts246tY0vqeHtrxxy/WUxxsD6mZTZGYPvPPmLbtB837f0Gf21z5FTAac6dR4/MbjuhS9pvdsY885viMGPn+vRD5vt7qk/ulyPzimddPjAZ+vc9pU2+46GFh1CooGxgXMrhnPL9oPvP6751JenwGhMapia0dx8XUSrblxj6doud36rO9dhpa946MmAbkchPWlnohjPMpPwsHOBPZAeUko3+s16uaHUBNICIVAQqGJGnwW5KBoePNsIkDUel8FtGd6V1foZg6elIyH0YoyJOLUQEI1rhFOSwKW9lavKq2QxBYUuLWV08+50rYhin5mWYvu6iECMGCYhw0RQ9+wQzKyGJEtoKVkub5X577K/I7NqdZE91dr1TBbSKElSlzdQbi57QpykqNjmEjyVImXCtnXarRiaK3eMiMwQ6Wk6HcFDT3qsDCQqVyzVoLpypY3t2mrWDM+/LmZqRmMS+/N1KfBEttordGKdFbBj937oLQNedmPE39zT572fatH0hqrmnbv8R7/7He1/832LXSHmvjbAFxcWCLzld/3s/1h52Z0PrUMwzcqKbfs3nlxjGSp0VYKhky1FytBdMZz5crP0J66dgHfLRv7vGiHQ2eAUXM2pUEWQI6WzsjJQu7SzxG3cmvnGpWfPddIr3NZ75OC2bV2KwIE78MhLTC2DOxb3NIHLjvp+TBjGnFjQfPDzTfACfCmKADOXJ2IVg5czfVnm14LNZoej2Ocdrxny13cNeeZci37q00jsprS2CrCYLSNUlhMoBXvZucxT47JU4JUdOq+F8TyFn9p5Kb4DupJF0szWjbvXbgcOKVM8YRAmZV1D889eqEGkTmYCIts/Y41rntcYCdAKHXv5TJY0ESRlQ4KshNHkhsPVOzS73zbke18zJoq6hK09Lxt0j7/LmGTVniirAH7nl27HkzJYPjvPYDTFSIPxUvDKH3StSgRdBBK4q6cMqV8Cd/79skbL2C0DeDV4EVLmLWhKgC9sWjkUtlrQd6OYs2m1nmO4vJDIozQHBbczW9FVXwBc5rIlDEze0hYEujQ4J8F37B14MVJGHDsrmO/WEJ5HKKnIE1n+s0qXuywdKsBzTkeU+My1x+zcNGTv2THD1GOUQujG2/mJ0+EJubNUpNBVpVMhO+V20m5WZy1K0kjjpZpUSZSXbV+uXLFailTarRS6sGYdyLMtZwR2SpaQBQgzoGdxVQU1mXuWfTVrajalz22qnz+DisEmvzCCZqgQJuDcuQ77Tn4hEGvke1YB/O7HDiGl4NTSgJonEEYSG5UXzuS/r4TtymQSA5UXX1OW4LpySoX1QiApUsR2KhX4wmoxT5q8xiN7nX/NkX1RCkreYBsoYcFeAbe0z0EG9Cz4dODOun88nUsU37P6NAhiEmI+/dU65+br+FOKoFzDUXZQmFCk5dS1ERNBoGI0thNsX/+CPl99YkQ3qTHwPOqJJnLpdCWLgqis4MwOWcp+U+FWVSr4tJupYnC1+wJPCxIl8FLpdrGztTyJA3qRTNN5gk1KXUq8udeyDG5n8+boLBdoVc2FMvxNxTqelDkl4BuRS6zQXyCIHi5WjwsB/H1/fjsz7foLf/uDX7ppoduxaVsMiYGkVFugqeJWu7uQ7Ht8/Ud+GbJkgbCbdguXSPAgt9qUSxnb+SaFxlUZsKXdTz4bhVAGdj4HRWH7EdcCeBZwZrrby2SJcXq7Wkse+DGBH3G2o3nkYB28AM/JE69UoJRl+8QEwq2+LFXd5X2pMvfE49jnhkvHzE0P6Sw3GCSKhgI/sX9LNt9RxWWA2+xyUeEgJyo1heubdDVDSpNqga+FrSlSmlQJEgfycvFaVg4hM5CXQJ2VTAi0AzklSUEO9gkGdG9F5bxU2+Kq3ysKubLxcvbva9cj1q8PbqL5LS88c+QN92y+uOi+rwB8NI5ZMuafTYXy+oaI8TzfthQZ0BTtSVlmKgd4BexfG+DClCrSyEBgcqAX4DA5g0+WcHpZbYSrAc9KPW1zcdapYmWJyrtXCmBnzbeWvZ3m9sj1dmYJWsYuwO3n1YkxgpjbvhLy1adayNAjkMLO384rCIs2uqLibzKb6QrTchaXruxBMRz53HL1kDe8qMcf3tYiSkP6qaSWGsYJbuUqV/1pJ+f0xA11ISYH7cmiWcWBO1USpbRldCndaAldKkUu1wCZAuSVbHPG5O46i2LtX8syzc/JxOg9+76QtKYE7iwzro1gOEoY6fD6mXrvn2kd31P+N3KAHzh0kpnp1mv+5C/v+K5z587TCiVg8kovQ4kJKMY3rJIrYm1VIsrPJWYT+VJWgKFg9WLLk6zLJGNuuwVJ9h7H4ORtWBUWd90wvqqC245TmGBu17MZuPY238saDpLSERMR85dfapOaEJVnL8sBZtHXmDkbFQ3ORLuelnY6VJoFmx4Cn7e/fMCffnrMio4ZpjWGqcBPyFlcSoNMRF50Zu3CSS0qS9akKIFckHqmaDVUmtQzKG3lSqoMKrUVjDZ7LPPS5MKiLFd3FmXMeVNKDupMk1cgXEWIWU2OxpTdJwd0nQ1QyshBEfcWqU/3vmvTRa+9s9898flme3sV4EkSMx6PLx0N+7uG/R41PyA1Bq9UIJP33kH+YdZi63IsWc1XToC8JE9yoE+UZ+ZafEJzZqAvz/ZQShRa3FXcVYbdOGB7ShROSm4H2o5725hsHHMXAaZXYu/Qj3jkoOTA6RpG+SgpCaTGm6zTKAnwSRclO/KC/1L3U+aoxInPri0xV13S5779dWIVMEwENQl+avCyzQSE68JJnA5HWrlQ+ZXVmvxCGhX12Fmroae0A7drZ1OmBO6sFsi4MoGMyclXD1ECNyKbmLUGe5d1uVmb2k3l+6WmGLI+X1vvNBqPqA9Gu5I4vjSJ08+vYvCTZ5dp9kYsd0cIt+zL/K63OwLnwVHll6/OzWbfL78qv891KaWlnNXLusprvgvbrZAswnbPiwLcNsgUebe4l4NbVgBeHv5ju+3JgZ1nK3PmTgk8m9ixXUExhpiPfqnB4mIdEXrWdy/fhJM1KOU7vGQRZtMEynXcuTetFXHssW5W8rZX9HjkYJtxWmOgAuqp1eJZOauSOHBna4V2nngWMVkWL5clWw1rSjdYqdFXS5TOViSTv5b5turZhr3ZfkeZNJFFc8Qkg09UhlZOSBX1la+Zig7HVqQaUQG50QJBitADkvE8aVIUF+YAf88H/holJfMLK4SBbWytFKxTLX801V9b+gAXXoqKP7BagJQ/lwFdZvHKeLGCsWWZwZUosXgmVyTKqwI88NwAID/bOtBlOD2Dn6fitXudVg5P2c6dZ47BR25vMZYBSiqXvazeiJMZzEl+KpiJCR3utHiqSFKPMPV426tH/PFnBzxxuE6sfAZSEqTauUcCmZrSeTK2vUyU11ftfld136Iyk6cavNxCtBN/lSsJUKkphnXmc1lEfkMnE3pcUGJxUQSd+exDsda6f0HXfJWzUu4Cy3U5Povn99HrnLNp/zLA9x06xe5LtjR+9pffffHS4gKBZ09QFdBiTYCXdWX50626sKIKcNbQ3heWKCIHzuQ4ZFli7CzIzKY2eV62yavT3moC3Fn63s8ak7WdGZK3iGU9nYk7YpQfceCURy8KQHlOnpiJ8tjJG7eK8OpAowkv3HXjFIkfj6YvuHzriCcORKQ6ZKgDaqmt2facBlfCTmW1iaWMLTVZkFkwebnK05ZQePlgU/s1pe0YPk/jOogMUhcTArLpWmnW3Z8bAEVwmQeeE9d7EuAi/7/VBRyrHGfIPXOy80e2GtmB+n5z/cU3vfhHG6P+Dw1qze0W4EeOnWF+YeXVc3Prfqo/eNIOri+B1gLYrAoCJofxTN6NxYevBpc5i2PzOWUgFMAu+hhViRVVZahmBnKKGmlVArWq7mLsK5wXbsFtAVwMBfLL8qTM3sr1dQYRSz3N//irFovDGiL0rTwp7VqRrTJlkF/oUZkmoIsLpbXMU/dJ4tFuePzYt/b44iNtFscBkfQYSkngeiiLkQ+Owcv19ELnZbQG7cCtMUiqzopwDG7yID0Du5LCMbiVRGnuopDLlEKHF+2EhUzJAs/cDynOzQVWuDKuyqZF2SrMk+jOdoUh09MzP9VbevqeOB7+dc7gjz3+DLUw4PCR42idEPpBBdyTv2St92s+VrH2Gi5KRYOLAuRyUqJUB9PkwJYCqYrxY6oEak9KPCdJvBzgmebWeVDpezoHt+9l9RdV9vZVTBBE/MWXfJ4+VAfpI6UkzEpjS9Zmvke8+yMvWE1Iweb5ThUlmZJo6TZ58rlm14A3vajLH3+2hvZChjIglCJP+igpiCsBXZXJRZnJS8xXronRCpSxq4I2woI7mxKmIc3np4gC4KVnC27hMpqFPMmdlTIOyu8vpE3WAHuRPxTFWwMgSdOExfmTaOOTJnZjCA9gtu1TqwVMNz1C34Kjys4T7J197wIxQtnTr6aqs8J8s2qgTMUzzgNLUbB5zpBfD+CyALgq1VB7ri7FJ5civircEr80HKjQ3Ja9fc9OrVruaP7myy0WOiHUnHsiSsHYBSQK5YaAykVaw7Yr9bTqNHNTPGbain/+sgGf/OqIxX5IpDyGqXT2pHDujSiasWXBlhmws1p8DOiczbMmYGEdMzfx1zOgpXvvpgZn570MciFFqfs+G+LppElFj4sJuSIqgM9BP+mFT0qXCg4FprS/UBwrhlGNWtwkTWx46T38+H7Wr5u56It3PvjjB46cIfA8WxFWvhYXmFNizERVysRyM7kEFcvS6qGZFfaunCyXOKkAuzr7u9zhYoe7UwV3trNBxtyqxNyrGDwbN1GMnPCUzVweOSrYf6yGJkRIL2/OLaoHy/GDKLkaxZUs16LkIM8zc5lNWDgqWttgE+Nxxc6IXZtHLO6tY9LAsnhqZYpXcnEK9iwXejnBnZXRgn2fd165lUQWcyPLsY3S9qbREqe9s+tSkFEObi3cLJVMk4sJqbK6cVnkbFjFUC5FEBWsZdirpP2FRzw8xXT70h/fdtELH+ss7j3qCVKSeLxJCv2axcVFWs2QfH7HBENXGFyslimV/64M9LIlWGK1cio7A3lVnoiSMyFKwWYBaMvguFHAZR+8fLgtrVUZ3CWQu/3qfVcamrG3cu89L0apmE/f1+LAQh2CQp74JeuycsOyelzEWgRRjDkr2vqKyWCFFo8ij0vWRbz+lgEPPtMA7ZOkVov7qcvuplWpVDBn+WI6kBtTkigluSLda+lWFZkd9tynbsWQwrG6zlZYkxNTkfARJTelyuQ5Y+f4EKtIcU3WrnxNVL4ghaLbWWYc8ZrBMNkURRz1MuYJlO0o99UFLspaWaaJ95P/WfbBy3erWAPU2fvJAC0DtFgD2DmbK1Fqwi2B280nLLbtYDWwvWJAUD7izdMO5ImVJyqm3oi4b5/ir7/cZDgKoOHhSYEvqtJk8vOXJdiaAM9BXpIpZiLh40AeJx5TLY83v3TEZ7864IF9AabpM0xDAkF+o6n89xc6uAB3AfIyOGzw6W4wZdk8lVaP6xJrZ0G9zrY+0aKkv0Up0C3Mg+y1vfZFXGBxUJYpJSv56wK8bBsWXxPC2I1oY+l2ihB4URwzjmJSneYp7Un0rk6fcsFHVVNdiMVFle1EdaJpEVyKHDT5vDxV2r1BCVebUoC7AHlWNmvwvGKEsuc2YfJUFeh+ztb2UMoGmEEQEUcpn723wTPHG+D7CKkcqNzckFJwKWSVxcUa54Iya2c1PpNzHF3zti7ZhVHkceWOhNe+oM/jR+uMk4BU+gy1IkiZ+CyiYEhWg9xMfBZUdrNptBKozGOWAuOSfpkez1dUCVKXZhnqgqXzsW8ChF4jLln1nMHdXJBg7ZNY42s5xF2pg0anMWma4H30rz6NUoper0er4SNkeRjPaoh/I+5J5QOX7KALMfcqgMvJALPYgaCQJiWrMGfsDODF5NRcojjmtoxtcqb28ufite+CS0/FhEHEU8cEn/9qg8EwgKbdKjHIKxmz4HeNLGbp76wwT36hjNPApuqmlBM+pQKsKPZptSJee+uYT9414vHDIXgBIy0JnBZXGlSa2XXuM6SAAx7phPZUhZPjKQrpIi2bZ6tKFuRrY8EudZFoE7rspjjy0gWzT+Y41nLUikxnYT6sTaqr2bvs9KWpz4F9j3L65H5L2rPNjmVuE9PvKuLU/pFV+b3WkvD1AF7+A8SqJXtNFpclsJc1dw5yq7fL2UylXIWhqyi07VzutVeeDz4Bbnf42RRaV+DvqcQeXozvxyQm5bZ76tz9VB1qHkjb0OyXSngrpbHlo/xmLVIypQPH6HlzuXVUiqGmFujjkc9Lrhnw+hcOePpYjSTxMUIxFB5+Sv6ZRFqwePER1mby8hB75Rw0LS2b2/cCqUWuw3O/P2P0bLV1DF6w98Q1ngg4V0k4ccFTVaXZicRP9t8aA+NI8cyhPnEyQgiD140TlBb0xilRbP9AIcXa//jXSOxUboULSRP3RpYBXmrrKu8sUAF2RaqU0/Slw+1YUAC9dHjFJqgZoP0SqDPnxDom9lmpmMCPeeyo5CNfagEBSB8hVN5FpNxGquWsa9kRKgInMQEwKsVqBXOXNLhxu2MoN/oh3yfewxiPt798yB33jnjokJ0kEGvFIBWu4MuBLs3suFIdSOWKugSJmijJwNbm40CvpdvPJwuKM+0tHZsL+5xfQ10a2ClLN38lAVZK/JRJ8Os8Ksy9hskR+Iap5ojYfQbv/icNBstI06HB92Vemro62ZO74l/T/6526FT/iEkQVF87lhbCnphM22XMkTsqJZC71rRisynjwJ4NwC/AXWHt0nPWWJtJFaUSfD8hThPufKDOkwfr4PsgbXAZCFOaHFsOrKqbOFXJuwotU3qRN0BMTODNg81UopVzVFKPceRz9a4RL7nZsvgwtSw+FgEjDV4qisAvzexCp23T0k02UfZcsS4lGGWQRqAMNvtpBMIIjABpRCFVSs5XRXtXwF4OfKsYmdTkk7VL5XdrTbHNHEYpoRFqLt1pmGranZW9y7cohLCd1XFsu1yyX2QBXWjELFy5EIWXP2Cx+5n7Q1bp7irILajLe8RM1J8I8r138t2Ls+bbSsNDsXWJUhPgLg3Fz90TlaK8EsCdRAm8mANnBB/4bItx7EPDd/KEvDVNlXcJLjsnlfW3gu0S/VSBXpYp5c0Bikm9ZS3u0Qwl3/PaAbfd3WTfKXvzpVoxSJWtMkxd8gdh9W3qxnJMrCQZZZUBbqtI7Q0nnUaX2mCkvUZGCgtwLYpYKWNyXYCtKkHLk7DWcplK4WOOnTLAJ85bady2gylC2A12j52pE/i+lVzv+8Pf2TjdDn7j/LlTV2SdL9adKOneCgDdsyzYNvtZIar/XdmrVqX39pDO2svGAbtnJSuW3+SRjUwoe9z5s1fobuugVMFd3qunKKZyuz94cd7M4HsRqYz44081+NPPT0MYgqqhlEdDGerKuHEU5A3Ofqk1rsiklhNRkmIyLJUAtYglCtsxu2mFxDX+Fr2QShqE0WzfFHFqQfLwkwGJsJMHtFAIYUtpqwmWiZU1g5Apry+isqrkgCqv3O52KMuZctmBptilo9jQYCLWKH2/nAfQlMdrFxPRilmX1d1CsvLeREOSQpzAOILuALZedN2mS6+45QveubPHp3XSe12zlqJDjzgx+X7i2T6HxpRZfA2JIipPpSCzxN5UpUjVPZmoQSmzdqUO3FS0t8zBUEgSVdLeKt/pobQRlTITkiSrFMzYO8b3Yvaflnz4iw03f8Wyd965n/1+QWW8cNG8UQ00RflNyaGqgEOXa0OKuYI28MxGU0t0qkiV0+Kpx7e/YsAn7myw56QPMsIIySj18XD1Itm5Tt0FS7PETwbVknQyxpWe2tlY2WfL+gKkAWmsbMl0tzT2dxjt/HFt5Y1eyz3BnqtJR62KmdINWF751ljx8mYNY8cZJqkhSQ3D4YCNC53XIU5Me4EaUg/GzLY14wRGkSCKIRFu3xQxsfvZN+CBlzU3q6TJhCwp61hZfV0GuO0iyfR36XUG5KzaLdPgJXDbiazaPVs7UCmNyvxulaBkgnLyJFUJn7qnyZ4DhfaWQlrvO++gWW19lTOYFa25+lqVXlcbkCueeGkilaeFrU2RRQo/ij2uvHTMG1/Y59CHQ6JUgfBIhcdQCLzU2XdkgW7mqJQ9siIJbhx6jBEok9WFWGlijHFa3B3CFCl+AVpa4OtMplTqcuzXhVVLq8s0crxUcbTWozJMPwO4hjjRxLFmHGs63ZillRHKH+JtXjem7o1ZOh/T6XtkcwRBQOI+jOHrA3zVB6wGkdnXs4suZRUIazc3VFk7e5+xdgb2jLlzoKsykxe6W2VBZLbFidR4shiar1SK78ccPqP4nx9vM5I+2QStomverSDlGujS31G9y7/+hcrrmh1dlifxTu6WUa5PSbVHkvqEacKPvqXPX93Z4NBpD1QM2iMWPkMhUGnhaMhysDkB8sybN4BnikEgBoE0Nj1vMI61M09cV9jcuN+jpUCYYvVY01jITpVb+YrYpfTxvkGAJ4mx4I40w3HKUi/lfMdgAvCS1NYFZxNUo9iQJIV7YbDFMxlALwTwyUzlKmniPnRW5bYWA5aBLSZYO0ukVMGtC4kiqwzuVfxtB+aK3106pGVx34voRpo//GSbU+dDUJ6zBqWTJ6bie+evJxlpUpJ9LaBTkip54wFUd6bLBvfI6hQsqUgTj63rx/zQm3r82gcCOrENCIyRjLWytmGafQ4DqaBQ2AXIi/+331EOTW5+U/EsC8dHSlMwuCldO+dqGHcutGCN1a6wBXWZxSfOV5nNJx2fYqdk4/a3t1svRrH9++zkAWkba1uNmGFUy0VQ+S6TAozTj0U1Y2belAKXyvPqu9XuuzgZWVeZOwN2wdrFlNacvV3BfQHoEpN72jG6zqWJlSO6JFUyxk7yZ0/FeGHMx24Lec9H24y1b+WJULk8yZuKJyyxiu7O//bKZbogG2WnsrAKy6DPUvbGbc9YKqV1rkqiPWpewjvf2mf/sYD3fcpqcVCkQjLSNuCUKTmDFwVYGYKK1H3ZrrSgLiSLMY7NRcGglnSMtQ8riR8rY4qCK0ty2l3jTMoVelxUSLL00VYxwmQQW16HksTQHcE4sVuBe/1Rj/6gR6c/JkmniGNht+POo2t3S5YBvCawReXDlSsFKYGZScbOQU2eBSuY3JSCTLdFd3nLQFV2HXRJqmRgLjG5LKoDc92dP9tZg0vL8FdfbLA8zsBtAe5Lq709UZUnlVUns8tKeF4rWCpfnHzJdd+oVPXp0ia5pU6fvE5cui1jtEeSekwFKW955YBP3NNgsadAxqAVMVaPT1YXVm+5CzO5zQNV7WIjLeClNcRtAJoB2vnk2jDB2PZ6IkSuwwtmLzdnVCXtWkxefM7ie3aCgp3j0mwZWlMJ9VaM99AzMywuaU4dm2LLeslwbEV7pbE4u3CTH2AVa08wdhnQUClEypi83PYkRMktEVVpIvPAstxgUA0qs+E0BbjTSoCZBZnZPjdeib39RsJtX67xwJN1dEl726aGTJ5U603y1ixW38wVn/eCJO7YM2eiQqJMNkOUbbLUSJQpfPEk9fF0wvOviXjD8wZ88NMBqAiExAjBWHvWpsVWg4v8GpZTKCW6LPngWW+AMcY1ojugS4HMNLm0RkTB3CWZUrrmWrjf76JNORmb5fLWrMaWKb6QnUqDycEtpXL9o5LdOxNuvspjbtbHu3oXLC0ZegsJR0+n1MOiSq9wP6oTUtcC9KSsqTB36WsFk1xAmkyyt6gCu3BR3Htl8NyIMSmdYyKN09UlSZI5JrIkUaR1T0I/5tBxyQdua3G2F9j9rqUd9K4ExY4NE6vPKt1d9p3XYO/JR8X2qiy71a0W853qKl339mLaZ7v9ycZmyve+oc89T4YcOidBxIBCIxkJWdpEyl6DDNS5jVm+4cp8nmcz3XUos7mwrzMwG+OA7K6rMcXvE0LkgSjCxXeiALTdbDZrTp6ULI7l82DWunAZgWaFX411ghNnBU8dEszNCbz790ecORtz71MxGxsR66YVYagc3V8oeFpt73zNn8vlialo7kKmlCrf8i25VzP3KpDnM7InX6e59s5Y3MvGAasEJVM8ZwsGQcw41fz+X7S5+5G67W2TntXeUtquHVHMX8k/a/b5Js7HJJOXcS4mwF3NYBauRbHHe7l8tlxGa9vNdOaopJpEeqjE4yU3Rvzw27v84u8HjBNpM1BakjhXRbqILsseZsApPphtSaP0+ex7UYoNXHe9ASONCzDdFBbXdGyMWDO4NKWvmQm8YMrJqWpbW7bgmIx0M2UhbFLM96AewobZhIu3dNi8fZlGy8Mb9Xz6XY9hT6LrdvSA5xUjAsoAll8HxGu/LwpuYNLvLg/2qc72yINKgZumRNHZPcHgyjF3NgG1ElzmssS6JXagZJIzuB8kfOkhn0/c3WAc+VD3cu2ds3ce2FI5VjF3CcU52EtMNEnfpRizaM2qgBuMcoyuq7XiqZZIbaVKBvQk8ag3Et7ykiG33z3kjoeUtQ2RICSx8BhSSEYyb7wkV6xLXNXkxsmBvC5FumymAOX+vuxzS8fSpiQ7M5NCCPvfZLUxuWSlfB7NatliSt+ndLMZ8sSgpyDwNEpAu16jXW9RC1p4yrO7GrRq9ofI7uz8F4sSCKtaWn5NkFf94clgo8zYZVkiRJGiViWg2zu1mLCkREl755NQdf46Z+3sUAW4PQfuwI9Z6Rtuu6fBvjM1K02ELYkVmfYWlCZImVXgzlekXK6JEtC/hj7JwG0sa2aWXPUQBbhXDQcqalSkVEidIrVHPPbYvSnmDS/q88CegE7k0q/a6vEIRbYPhN1JabKlrVhzDDa5k9+Q0rotRTNExuZOquQM7mrIHXFl4M6B7mSIMKLUmLw22HMMSpMDXcrySidKoYMgTgX9oc8okkhf4K0MDP2x/eXZHL9q/2M5m1iVF+XMXaHBTa6py9+v6O7836gmS1aNIiiBWarMBy+CS5kDuARyORFQZomcsosibae8JuVPPl3nPR9vYYRnfe8Ke1Nob7nG5y4BPWfuTC9+LQ1eLhIqs2RFf2dMvrqVTWdpe63RqURL64srqYlTH6k073zzgIOnfd7zCY84KUCuEYyFROlskERWqVQCeQ5qYTM42EWgMB1cSj9nc5fZdBrfuGtpcqAXN4EsMbR0vy7T02VAUw7g3cezBCucP2k/X7a/faohSQVRLNEhNOsJU+0Ib8uUxotgoWW3rc5mZhcTokoF7nI1G+cyZA2mzgFfBnsGEFmWKCV54gCdMXsxE8953xOOiczArSblSXXPeuX2nrEaPMYPYg6elXzizib9vg91tZq985rvUgAsigRPfvJZ/ToLkr4eh5tCA5TkQMZQ1SIj45oOcqDLDOgSLa0Wl9IjjlNazYQ3v3TAZ79S5+AZdxHtgGpSIRjmCQ8Q2oHbFGA3OahdWx2lGvFMkshSYVX+NUrB5ATQpXFOipM1OW7s+IdCMZRXf5sVFe7jSUFu6RVTHUROpLYuxufMfJ1B1MDbMFeHNGSm7dGoe/i+zOdplztmViU2SsAsyxb7i9YCfKG3RWWpL7G2+142zLEcXJYTO1KUB7NnzomubLchS7JESueYOCb3vIRxrLn9/iZffLRuh4NL3wJ8gr2zgFcJUZVW+cpULSoqJ8q+0UfO5nnqvpSO1i57mDkpbisSq7t1IVO0JBUSlUq0UMRjj1deH/HK5w858RmfsbY63FVCkeAxFuRMno9t0IXDQQ7qkiZ3aXqrDFxKP9PdGegcqKWcALpZDewcGxPgLja3zbYNt0A3pdVDSkjy8+c29DKC0VjRG9bwag28nTu3r6Rp9Nm52ea3KKHxPLlqDmAlhZ6B0l3IKmOb1bZgpVYjA/bqgLI8W3oVa+dAL8pGq85JVX+rPP2ell4nSGk7dWSQcNdDAb/+/ilS4xXOibS18b4gb0krGLv47EX8sDZ7V8Atvg6yMwZcJVNMRa5osqlXrhhLFI5Krsml9caF9kgSTRCk/PT3ddl30uOuByU6EA6y9g+ItWJYEVSmJEvW0OS5F+5suezzSuMY3AFaZun7jLQKe7AIOEurO6KCnwqjZ9ImiwsFuTTSxnb2ay1IpHASBcIwxAvan924aduKuvaqnf1+b/FQPRQ/7KmEwBelvsZy3bKp6vF80lH168V8Ppt5XJViL1cE5pra/Ywqfk5NVgeWAsq8oOoC4C5LFa+S0LG9lieXBL/+gSnuebRpN+WRth0N6eNJQV1CKHGbXJnVtduVwzVA50NyqsOIspr3bPpW3jBdIo3ivSiVKkxkdctkUJoDmP18vqKWd1swsG4uIfQMDzwRsDKUE0uNzKeIFxWH9g4VFeCX79avtzStPSSKTHZN/mwub0rSrLKqFVPWst+dWZVZ9jevRUk0oyhFCJ/TZxe+9/Enn9nnbZqLkUISxwn9gSZJJ1P1E5p6Um6wxtdWvTcVBs+YvSJXKttirJYmckJzZ+/XPFQ5sHSlsO51GqR84JNT/PWXm5iaAqEsOoVn2VsW2rvob/waHfO5ZCk07RrXfJUHbibeQ0mmQCXQrM4vdEGmmx9oHHMbo4saFaGQWpMKDzlMecvLhjxz2Odd7/WIwqQAuNOrY1c7I7L8emrFrsGUQGlyGaKk3esHSuDMZIsrz81liwsQjbvW2a/OnBWnQkpuXbWtLZMzZhKDWMcmB72xfQzjOGU4Vvi+rd/xrr64g5IwGGlOnBEsdSXj2C6F+fWp6KRSBJzVGmfL9SrgZ0uQyX+myFaWnZPq6wrYM79bOICXtHeFwWVaclLK4E6RpdqTOx4Mef9nmoxSNwVfZNag7UUNhKlo7zVT82Wgs/rEl5+/nlYxLrjLvOdVGU3MqhJaI0uZTVlyVoSyhVnSFWdJTao9Ql/zfa/vc+/jAXc8au3CzBtHCrTxGGvXbJ5VUOkJmVJKABnsgKEc9GWQSzA60+GuPrwE9CzjWUyeFRUSzH3y7GdK4C/vApJpdkTG5LaKcKGj6UQu2DXgffmpka0BBmrCTpWVwiDUBINnTDTxiyYtwOpdWGXxSWBXAF4eyVsGtyh29lKrdLiueuCT7J0fCcqLGYzhV/5oisOnQoxX7JZc0d4l+bRmYofVIC7FlgWQMzx/DUE+OX66mtEsF1+V9fjq2hQtXcWhrLK4SDVCeMhIc8nWmJ//gQ73/mRIb+T+GJ1/SFI8Rlm9B6tBboHrXhtyh0W5gDIDtsnZ2rG5KNg8z2CW/GxRCj7LzlvueZcCz5xs8+RZ8fWsZ3i6DTvXj6g1InRq8J44eAkIiUgHbGh02LZBOKeiBGrHxsUvKJabMltPypgysDNDX5Z0YyXALLknWdYy2ybD+uAlYDvQ58mbSjKntDuv24La82KSFH73Yy0e3VuznrfMmLtwTnxRlSVKTCyZZbBPMHe21paHbq7F16uYfMI5KRogKHofjch3u6tUGwrL4HnQqaUFeSrRwh2pslJFa264IubHvq3Df/uLaaJUYj2IIipMUYx1psXXYHIHCCVKWU5hN+g1ZTbPWtfceymdR579S2YS6KaarSyzfdlxyfFYBTyOzQNfsH3O5wXPnWbzxjpRpPH+n3e+iXq9ycEDT/PAVz9XcTfKgJ5M5FACcnaxczDIrGrMffhcxpiJWo7yBkZVWVLIlOr+jAV7p4UXrsrbTVeZ21MJXi3lC/eHvO9jLTpD33qAzvPGNela56TIWpZLecs6vKiIXGMGYSUsE/l7MQnoCdZehfcK0E3JWSmztpsKm0mSchJIWBsxlQpptK1XSRTtmuYH3zrg4adDbr9PQcMhMGNyKUi0ZEQWUxQgNwiMNHa8uNPgijKgHZs7Ji9LE5tSd9ZhCayZr10UZJUdOlEC/aQ8EUVcU5bDQjC/lOC1bmHLrmvo9ft4c9OKsKbYOAeb5hI0XhXUpX+4APxqthYUS84kg1eTOSWWdtF+RZYIXQW5NG7r6DLYC+bOwO7J1N4EpSpBKROkl7D3qMf//Eibg4uBrUdwfrd9lgV7l+zRCsjXkicVabJ2teWaj0zWTtSiFCxeJFbyRgjWSuNPDAnKCrGMzjeVFZlUEQYhPWRs2DWb8KNv63H0rMeBUwLjlQWWAOmTOpCX5YrJmFxYYFPW4NmPSjeZq2Qj5yxuipuhPH22Cu6MtUs4MmICj05NlM4/jmy01nQHMcs9GCeK4Vji6dIJy3oa8zNfumCrdFAl6CzkCpPSpGJhlUBd8b8nA0s9EXCW5ElWVFWWKaoK9EyaBGHC2Y7gV97b5hNfamB8VaTjnTRZi71V6QZc7ZxUV7XJpE6Z0QsdXgV8hbUnwJ59bXVNSlmHZ4AuB6BZ54/MK/rsaxd8ppoEjS+tq9IZS37qtxTnVgSEJSQagcGzTC5w7G5cYFokgTJNnsmTLBFqQWzdD1MCbK7L9WoQS6psbUrnuLwNSm5fitLpdISb3Ytp6lbdbPyJMR5C1s8a432+0ZpFiqTatJvXfZBLhKKLpupdTzYjlN9X3Y9qwKhUkbgpdtUt0vHlykC5ygqsuiZSWnD7XkKE5lNfrfOFBxuu1iSzBKVj8Iy9i12Dy/MGy27JqrLYkhan9L1J5s7Bv5Y5XK5FKQOajLlFEbiV2sgyB6Wsx1OdJX5KqX0j0Ua5r9nXSeIhjOTVzxvxxhcMCEQCSQK6dJgEYzSJhpGBsRbEGmIt7LbuWthZJBoSY/fYTLI5JSabV+J2q8hqRUzRAZ/PNEmz18Yd1e+lunrYbQ9N5efT1H6ONLUW4Yb1swSe/HyrUTsb+Aq5Zdul7Hv6y0fTNPofUzObbDytivR34U5MJmH02h02GbBVGbi6CtgyiPPvTeyHXk7eTBwyT79rx9ZprsGlq/NOhOaTd9Z51x+1Obng2wHowq8ElsKBO89aTtiYFU8/S7rg7KkJYIvSkleRKhXMi1VAXzMpUgJzsa9lIUlywGcTsLQsNUZIjC7VqGiBNrbzR6e2xS0eK7bPaX7qB7q86WUDfFEAGx271ylGGwtyDWNTArm2IE/z3SgcyI2ogjItbzC7GrDFzZAVlBm3tfjEluOrgJ7998YeqT2iKGHb1k2Mx9H/+ORtXzh65RWX2T16JBEC8FVEGKRIae/6qlLRleW32MK5LFfMhB9efq5uN1fo7+zf0KuCy0J/lzX4anBntd1ZzYnvpxxZkLzv4032HQqhpXJQ28SOTep4ItvA1ckSoGplsnbHfCnYzMKxfPmcZO7K+1JiYg0yt6ytJxI+hYsi8yrEavpeCgtyKUzujQsHeCEkqTu/WiiEMaTaIx4brtgV831v6fHgkwFH50tLVR50gtGKREq7kjgtnj3jZIpxclPpzFUx6CyVn0sSUakyzM6vKT0L3Hk11YAyf23K+Fu9Ao5j6A8TesOI8SgG3CZUOy7ajefVadWGpMO9DEal/1JUL1A1ubF2QCkuAOyiyKrQ4YWzYkpALgebDtQlzW2/58AtU5Rwh7RTqpZ6gv/+p23ufLRWVAlmGUtpA0spKQ3yoWoJUgzWXJ2xXUOyTGjusj78Wo9ycFlCebUupQRyQwEo7WYDGlECfynTKYVBC4PQ9lxroex7IREotNCkA83Lrh/zr97R5T/90TTLwwzYbqWxpX8YV+thdz9xskli3RWnuZUGHHiRdpRy9j53UxzQhQRpqt/LcWVK53zS0CilhCs6HDvVapR6bNm2gxuuu5Zef1AAfGp6E2Fz2+0f+Zsv/nrSn/qpLbNxXvOQXSfhfntZ5E8CepK5iz0Tq9nK8l6KOahFEVyKicDSfl1XgsmMxTPWlq7eZCQMv//xFu/9WIte6jvXJDssuO3svlK3jig5J6W/bzJ7ORnoVJg6J4CiPfvr4LvC5Gu1rJkS4MtsXsxPEW4gfTHyLWNuLQVCS3uu3Qg+LSRCKITQpFpBYmj5MT/81h7nFhW/86ftoow2A3q2l6xjcrcLIWAZ2ZdYVhcFe0MB5rylTZDv+2MdFQt0U0nqFCCvpOZNAfaCwQs5mBkBN10ZsHP9+V9/3o1X3H7g8OlsEYJaazu//+7fGKSj4ZHAqxMnpf+wYtcV75WqlqyuDi515Xt5qr2i08uausrYGZjzgZOqCCar4E5zkBtP88yhgD+/vUE39kqWYNGpg7Cb3PqiHFSaivZWgupKxcTrCXCvSs2LSXB/bagX7Wql7GZuEVb3sswlCqIkX0r6e1XnTxF4plrl7W3aKCs/YkXLM3znq/tcedkYmTotbsq63GpynCYfGxg7PR47PZ4Y3FEEoEWwWQSZ5aAzTe0+OqkbkVHV42vo7tK/kQWc9tkOXxXUOXVqcOQ3fuPXBrt3bS0YHOCNb3wdnlfj2MGvcPb4A3jKL7F3+c4psTUXYu8LvJarZUmhw/UqaVLYhenEjVAFt5QJyk954rDPj/3aDE8eCDG+LGRJzuCyZAsWWcvJnRrWsgbXbs+r9luW9g9bLVe+ERqnWoi1dgtbViaKkyd2GE8mWbSw3VjaSCsDTPE6m5AltPXGU4xdlSPDdZfGvPunVvjh/yx48qALTjKpAqVdwRWployzTh5tWTqTTllPp8Syc7YLW9anKc2E9s4Y24g8J5J746XzXfHLC0ve+t+pYThK2LT1Ul712pcwGAyBn6kCfG62jfIaDOcEw6UxcWoDTUogzl7L8nKxhv6+IMgrEqTsh2dA11WAC+NA/DWALRM8X9Mzkt/7eJPH9oSkqszcmfa2U0FyW1CUM5RV5yTztifnDq4aCzFxEZh4/fUQbiaAXUa4KfdpVr5eZnazSrJIx+BCCytJXOGTFi6EFdLpWidXtCFF4wnDDVeO+f+9uc9P/zefXiLALwO76gBNglxLg0+R6FElyaLdubad9s5yLsmQHOgITFomy6ouz16XwY1j9eU+jE2N6dk5pD/IP2cO8CCQeL53sNXyDzUa9V2dbur0Wlnsm4n35HedcCdwLaCXU/OZW2L/gBLgS4FkBvbCQSkDWyNFihIZuBMGWvC+TzT5yBeajF3xVMHcmXsikQ7cxZZ7a+yzUwlw1nBP8mWtHFgWenA1sr+ePJlk71J5anYTOJBryEcZV73xtQDvgG6sFtdSI4y0DoUx9rU29ho7ey5IDW975YA9xzze9/EW/Rh7wrK8u3YJFRdmaC0Zu28HDnXaAVtLg0eJzd3IN5EFqS5Z5DBqey6zgNMlfvI6lMnrUAY8kGhNvdVC1pqHlB8cNDLOz2keEfn1i9nz1IOfX+pv/lA/3s4osv+1ZbfV6fOyDpeiqqOL4qeyH172uYsZJnmbWenfqPrduqK5ZSmho1RKLxK896+b/Of3TnF+0Xf1AmXNnR2ixN5mVbayHFhWAmXIi4TWTNlPMnjlZ78BgTJRaJUxe0WqOB1OpaJw7cRPrr3LXzMlLZ7rclXZqlBrjzRVbJrT/NwPdPj+N/dohYkVyqaaBMo1ubGWZuw0+VgLYvc+0SL3zK1nPeGTG+ePr5nQybR6oc/LnnjRiG3Pj0Jz/WXruXZn+0N333nP56/bvXU1gwMMoxqeX//0MAreBMH1kiSXD9Wak/L7CzsmVbky+f3CPRFiUoMXzonIXRMnX0RhD8qa4a8/3eBX/7DN2SXPFlFJb5XuLmcs7eatpS4aQaVOPQf0JHOXfO5KOr7E02Lyi/+Lj2qhFRWpkgN/VeoeV3BlHRThZEqFwUueuGVtEFo7y9DkUkXgEUeGzTMpP/eDXRa7kg/d1oJaiQqddVhIFzBIEvelVIvcfrV1XMJJlIxQRF6pqd373CvPquInrELjGL2QLKX6KGFo1H2adfnYhrnGp/uDYeWcyvKb5978clZOffqedq37ULNhCPwkH4VWTqvnrC7MmoxdTcqUs5Dl8Q6mwtgyc01UCcwlS7AAdmIlSqg5eNLjg7c1OTMf2ExlOZlTCSwpkjqinNQxeTKnsktvFkCXjuobx85l2VIG9zdG3F8b6BTed7leaE2PnCKrmTsu+e4QpVqVvCCrtNGsKSbV5gOEIsnmdSnv+GcDdm2PIEodY7tDl1jdJI7Jbeo80gWbR7mz4tyV3EERebo/nXRcMtdlLUbPXRb7c0kqGMcQJYqzi+OH/uCDn7vn9a97VeVcepMnd8vWTSAkSX+e/mBMFAWWCSZ09zfC2JnOzgLM1YyuS47KGswtNEIWiZ289SzQHDrt8R/ePc2XHq7ZBspVwC4AXtSbOPZewzG5UMYyL5HlApWFmZMyKVEm/z0yNpqsHizWADMRdVaBXN77JnNHXMJkwh+fZG9R0uLGFWFJskRQEV+lRoF7r0eGVzx3xC//WIdfePcUh88ENujMbs3cHzdOFNtzrZFEQAoE2rK3lweaRTbTnnP7N0lXLVmU2IoLM3rpvTbQGwt00GDr9h2kejVtrAK4mn0dQnrRodOnmBZLGMLs9K+SK3LCDSkDu3BI9KobonhdyBIhi5XBgju1WOgLrwAALy5JREFUX3OvZZaK9zVHz3v8x9+b4iO3N4iEmkjmlKWJTWN77iR7rMHeFQdoIsicAGcO4Hx5XA3sCz7K31yrHsUUF29VsXhWQps7KpN14kWHeZHZLBohMvtQOHdFOBtRaFuYq510yf0ZoUg01LyEt79qQKrhF353imPnQwdyUdyha65AMh/nkAA+Ah9nUzqgV6s13fs1gJ5VqJYXR1kiGCljXvHCaf7vH3xVFCcJv/Efvg7AU7WB1lTrJ5X/3KvOnB2+rF3vEAarGTsHqyx/r2QLZpbgBXS4KIE/Y28hCt+7nI6XWTre0xyb9/jp35niY3c0iKRr/y8DuyRT8oylA/kF2btsSU1aVJnergA+FyWr5cs3EliuCYoqrst14avT9o5yjMkljCg7Kq52JdffmW2IQAqZW4oiGwfrnBWyPeUdEyaJwfdSvvO1QzwFP/M70xybD0A5+OoMZab0FygHfjtgSDutnbr8g4chxe4WsRbQlVMK+d/qdLx0HnumqaWwu+g9Z/s0L3zOFV/esGHnT8LyqvMqJ79w2fY2C4e+0N20rrWvUffSctmrdK5HLiVKVYJ513uljLWw/ipZyUoGstDcauJ7ZXALlXJ6SfJzvzvFx25fA9xyksHtyfOlY+/KiVyDvSl0eIbRMlNM6vHJADODZgX0/wvoroJ3tS9ebojQUNHb2fc01SH6NgCtbs2XNUNkjorRxfDO8sTaorxW4iXwtlcN+X9/rMPm2dgNkE+rGc/KkWJz+gZjDImByLgMqBFEJbelqFC0mjzOtbjV64mp6vOyHrevvVSnzX2f+JvPd4WY/foAx5GQNCs/tm0zTzQbdlilnKjVLjcEV2qyy4Fj2QEpB4y59KiydMbaQlTBLZUm9QV/+MkWH/mcA7e8gOZ2dJsFllaWlHosuQB7ZzEGrNbbQlQkyYX0dZ7JFOJ/Fd/VbOaqpM7Ez5gqo+uJ1P3qxogs1V+A2uR7/mSzDsvBqAO5LurJvdTw9tcO+ME39fEyb8+kFz5KASjGlsDGeQBqg9AsEM2AnjhgZ+W4SQnok4FnksIglgx084mzC70fu4BaWhvgV1//KtZNLaez6y8xdhj+heuyL/S+2vVegL9cz10wd8HaQpS+78CNJ/j8PXU+/PkG42yakJgILCleZ9Kk2qUz0d1ftj35Grp7whwpa+0yoCs/sCa7rw1ss8bXKsRdcVBECfSCvG68xOjZuLdVoC69r76WrrfTOSkO4CYHd1a3IghSw3e8ZsCrXjBEZBS6JsAzcDvHRWeeuSF1gB6ZopmiyuiCuFTPkuhJx6Xw0oVUXH3Vpeb4QvL/tfflUXYc9blfVfVyt7mzazTSaJmRrMVabMmWjSXvBhxjE4c8B0geJLzE7CEsAcLy8uLwEgLOCxCTBw+CTwAnJyFmMTbLs83iWF4A432TtVjryKNl9pm79FL1/qiq7qq+PbKMZcsmr8655/at7tvdt+/Xv/7q+y0Vv+43X517jZ25Ln6l59WIo/o32MieFSw6UAZBKu3lcmpb1044NszBp9zOHmRyEKQcPAG44tzEAb53VwEfvq6KJ/f4SutOIwNtikIt651o3gaoTaDnKiYtg8ps7UGbt7Q4eGDfEM9uulv7UnpCUg08E2VoaeI6g93UxpNlW1WR75DeTWLydOnl5FxqG1wrJBRKIwcoYqwdCvGZ903hQwz4wV0lSbmZ8Ut1XTew1EWpHznq/5GlllWAFeScrI4ySg4RYGp+VgYlCAjJz7nCIDhBDGBooHv2jVec9Y1yuYC/+mD+JaaYo5XbB8SDjz523WiwenRkjEIWuYySen9ZGuKYRXeSbUyenfJt0yuZyIOGJWdE5lkSB7h5axEf+YcqntzjGeC2086kBU/BrXMsGUmvvx6lm+GVtuWewy1sDjINAGvvZq7hPh5+kgPuNJKQpF7NOT5n+brlskcr97Y/o8Wap2WZ09Q3wZUl5yx9BRSrl4b49B9P4YrzatLMKgud6OOmVm7p5VFq0RWZ5kIkntA6BxqaupjcXPH2ZkwQxPLG6GmPcNVly0cP7H/0ulMGF87pVpjTggNAZ+9pCJtTODr5AEreQXheqIg+TXIhTKdM4qE0LLUdo5LRwJPt1CsBvAAc4Oa7ivjY/67i8V3akZOnd2tLLgHOaCoLptOO6NDfjCMnT9fO1bqNwWWORJg3stSOoOMBet7g0lJVWmiIMXGrZc1FqqgQ24pbXk1lxaW1VuerilkSTqU4QiX4ZMChjFVJjhpwrB0M8cl3T0EI4PvaklMljqtkB5ktof6bZJnYyyobmavISE6kRXczEYgcymEUUpQpx9quCjadthI9XdVjXt5jAnzh/EXNsPbYOzpox43TU4+X212OgldAo1kABLG8jYxySxok4C2g1kCHWqYkVjKjcu6QWIGb4Af3FPHRz1fxxB4D3Mjo3Lr8mEqYpATwkMnSgVDURBceyhtc2ny7pc+gISlo7cQHvYGNaWK9ZXBtvediXwM/kZ1JAv282oVpXLlIPnMIJSHqkFY7OUIk2rmUDbm6k4iubK+iESn0gFaAcAYEMdYNhvj0e6bABfDDe4rqPzFO3pIP1c50ej0hLSAHUfyfyHnvAaiyEfIGnY0iVPxZ+F6EQucZsyPj7jtOWbaw+SsDPI4P8u55i+/bf/TyqXf/3XD5lRsm8e4r6wgjF4zGqiiOSTm0syZGEkNOUh4OwAA7BxJLrgDOAE4pbv1ZAR/6+yqe3J213IoYEB1QlcaaEKRhsGmctzGgRL71psk52ZYbxODfyfbE+q4FdD3kzIL8GODO9lkhsiKzzgK9AW6zP+HierApK21xBRQNamLQFKIGq9qyQwNdeTSFKgsHChDBJWXRJxbEWLM0xN/+yRSEILj93gJiqoGN1MsJdXLaYmhAJ9YjBTgIg1Ax5wEFHCEd1T4TiDnHOy8L8RubIixavWWqUFl838GjoxzHaMcEuHAWwPGco0fH9l71Xy48546JQ/e5T+2J0dPRQKnYkB5Hpmtva04tQQuiQW0AW/9dWYoCocBN8JNf+vjAZ6t4au8xaAlMFUX60SkxZiKGyqlEmnZ2LMtN8j4bYM1GCybYzVj6X7WJnGVTRYFlpc1tDIpCTBpjeznNovEi8WoqHZ1owGuuTqXVp5KLyy8xSWmEjpM1TjiIceqSEJ99/yT+OALuuM9HDPkXycRNfcYZwie4ejKZgxz1VKayAkIMhojKcNuqxzHYzcAbnfBKG8OSi6vm9bQfhfK0z9XosVb2dbkYHt6PszYsHb70wtVPrxjsRr3hIObyseGo2RJcJ4DvNVHwm/D9Bjy/Cc8N4NBQxo+wUIE/SpIUtAxIiAI3I7j9FwW852/bsX2PJz001L6zW15qyglGlLcSyK0tmC3cry13NrbEBj7JWOoUxBa9bllPLFqT3WROhIu5+nR8ODFiWLLcO33xRE5MJcOWmiqmTKinRlF6uBmYJSVGZszPmTqAuJIXOacQIbBicYh/+OAkLjm7CcYzEiLPBGmJCBChKlERAFEABM30FTYB3oDgEYJYIIL8qwssxkytAuGf+nShcsrwgQMHQEjxVwc4ADDGcODpn+31nOita1YPoq00i4IfwvcCFPwmKqU6SuU6QJqYaoaYasYYb8QIRQS3GMLzw2TiJ8qkrq2tNyhAPALuUPz4vgLe93dVbN/nqnQzE9zZzyld0apIYr0tKdCmJ9SU9Ez1xACtybOTAViLfEhS626AOCkKaYD1WC6fOTXwxBWfr4VDpLOLtQ5GSRqYZQA9TYqQgE5vlJzYcQ3yBPBaL7ffOdcaOgECCfLPfWASF21qgGqPjcho5WYkYhABjQhFGqCn2ERXoY7uYh0+6kCtAdQbiMMIMxEwE1IcnYqxcPFyTM823vqD27buJboE8jGa82wb9PcvRBjMwnFLz4weDLdODt99XrV4BJVSAxFv4uHdHHVO8OBjBTy5wwV1gCgEVg2FOH1diFULI8zvicEgf5P5tKIuwb5Rhnsf9HDNl9qwfa8HoXMB54gMTCZG1NQEMv4nyc6B7ZJPNe7WQSYx+o5JVYybAtkbIcPH9Q1hvps3SwvI1fVIrbPxGfmfdRm1FouulRNV/FJnp8vaKSln14qKDPDSFltxbMM5RJgGPU3UFJ6kFemDy/OiIgaJBFYtCXHdB6fwF/9H4OcP+dh3lMmRvykTRfJ/m98TYeVAjNPWBVg9GCKKJDt5fIeHhx/zUY9dPHagjNpMGcMNB5UFHVi2YtXWV12y+ZnpmTqqbaXnD3AAcL0y6pO372xrr1zH4qHzDux9Aj+/t4Bt+wv4yS+KmG26ODjKMD2u/v2Yo9oeoaczwqY1AV5zbgMXb2piYXcMEakL4gHbDzi49voKbrmrgCMTTIJb8zDzlaUpCi5ppKCZOJzRunOs+Vzeyhanj9GXDiZTtOYlGee3Zyfo5ha5lj076LSoSqZwvuK25mfpyOHJTcC5PHuuyrtaPFwoZcUoEUsUhZFJwULVRhHq2DKACzwGQmDl4gif//AUbrnbx7XXV7BjvyNBDoDEwIIejos3NXHZuQ2ctSZAb0eMalUAsXxST44HGBmtYaZJcPt9U3hyXxF3/NLDOZsuhVeqXHfDzT/b+ftXnnM80D0+gANAoboEQMd9+0bGb/rqT8Z+68vf3IfpehGyHBqV4WHtPBH6pyKGqWEHTx9w8eP7PFy4PsB73jSL886QVbR2HmD4xBcr+NbtRTRiVYXHoiTGKwF6ug1R1jpxx0PPypA6dVJnTqvXEjCsuwF0+S+kHCUZFhnjozxrbtKc424iPaZFwzO8GkJlrJvqifk9HVRF0+9KeTA7SNUaulF/3OTrSkWBjh3XYFaqClTVKSGUVq6CqTgAcBVOzWXBwr7uGG+6og7fB/7yHyrYdUDSiXPPDPCeN9Vw4fometsjQBBETQeNCUeFCjC4hGDpfClGnDYYYGK6hgdfczpEZelNiweG7ms0xo/7Eh83wAlZge/ecXDvysHL3vvwgf2M+/y1jARwHcmFI1UnTvBYDhwQyGmkY+DoJPCdn1AcHKX45J9MY2Aex19+qYxv/aiAhiDy7tayURodkgF6GiWoVROXAAyp5p03QWvWidNizZHdhljFf9AC5BwUZweazzFkNlFLoEBIRMt6e2PTHS+PZ4XWohXwiYatnUDQVlyoKVEAqFhxmSUP6HrHRPDkRtA3AUWqsugSEfLmkdW0eBPwXYGrXtkAYuAvvlTG4nkcn3zvDM5e3wQLBOIGRcxdRLF+OYhjR0Y7Cin9Mhqi4Lu4YOO8W7x5F70X2L2PkJXHfW2fnaUb7d+++nfYeNHlk5vWLV534ODoeTOjY+gpUpQcwGcETJfqNa8sOEA4BBUYPkhxdILi6DjFl75ZQlNoZOaBOS/ORAKcEFkNNnHJq3iTpEIsTUGvPZnWzGZG7UG7XwXft/QBhOoZ0Ei6Tm2bKi4SIHqbZLaHls852UGZPr19MjAmOS8AlJIWepVq9mog37JehyWIlj5AD29E5omXPXZOfRyjT0uAHgNWLYsxOUtx1SsbuPisADRQ40zuIOYu4thDGHkIQw/N0Ecj8NBs+mg0fQQh4BSXw++47NtRY/e33eKm52Q8jtuC67ZmaD6WDw18evuTO4faotE3jI1NIIwp6hFBISRwQDAlHITCU3RF3vE+AzZsCPDG19TR180xdFsBT+52VaCOeSW1JVeUhJrAl/+qWdukVefODBwhbKudpR1ID49MH5LtWvm3ybtz7TXJbp/f5vJkmhWuCDF1cZII4skiQYaTyy8mTh+SY8W1p1P5YoTRJxJ6wtWAk4KxNGgLasKqRFXRnlWVTCGThBXIHWDnboa7f+lh5x4H3VWBjSsDeEQla3CKKHYQhi4agY9m6KIZuGgGDpoBhV+cjzJb+w2/fdOno/r+5wrX52bBAeArX/wsTln9iubAgvk/CKYPXCCi+uIw4gpUchoJGRwjpM4ZhyjTEG++Yhb/+LEpnLkmRHdVYGSc4oHtLuI4a8UNxeQYSQye4t4OtWt7m1Y5Ox+lOddktl/eS4b1Nu6t1FKbFp4Y1lb3UcNSI7Hm6buxDllrbXxGTj9Iy01qW3x1E9K580ttS24Gl9nWWM8Tb9IzJbnYTrBstQUrYhSgjKDRpPjnHxRx44+KeGibh+/e6aOzXWD18hAuIYhjD0HkoRH4qDd9NJoeGoGL2bqHI+Nl1ILeu9auW/87hw4+MdPZd3wDS7M9qw6e19765suwYiFqv3fVJY/3zSuGQcRRcIFqAah4Ah6VvAxhjDKJ8AevncGn3jmNnmoEGnJ0VmK87/dm8cqNAZDUaCH2K4k10eCXfzAjhuatAZv82ebA0n7M5lGC7KPbihA0/8ykz/iUfJ/YHeYGx9laBpgwLXbqwWxJRE5GqBnNvCUIy7TwpCXrx6o5nuMI0hGGwnqZmrihsQuiglwBuAI/esDDdf9SxsQ0Q+QQHJl08dEvVPG175XREAKeF0nhLXZQb/iYqfloNh0wGiAQPpasfE2wfV9nbdHy1/4qUH3uFEU313Hw0/t3vLt/cNUWuv2htW1+BNchoLPAyIxAHARYPm8Wrz13Ah9/yww6SgI8kCAQoUBvG8fyRRGYJ8sIWJFNZiCVBjnSgaUDO9z1uGsKIl2mOX2turYxqMzeEBbwc5nL8WHcUFKsZaQaeAJ8YvbpKEGDwphKCUmz8BMaQjIufF3r24wjJ1DA5Ylc2JIpREztXBjKDrcGzFFAsHM/w5EZJh+zRIZ6Tsw4+Isvd6ERUlyxpYlFHQFm68DkjI+J6QIcFqOvh2PjxhX1Su/SX1hBXC8WwNeuPwOHx+pidrZ2y+ThieUjw7sKPR0FrC/X0Dc8iYlaDR/43TFcsDaEyzw0mkiCqiBi+EWOSzY3cfOdRew+pJwBWZAnMiFJZMHEDW+APBn0wAA1ETkgnzvm2wqsMtZnH8smAOcE9nFiOw/rWeAnwLWAr5BOYEuKhCAN1krDau1tDNAnN4GcvIoYmnqayEwSjq0dREJNRmunx+nzkheCOsCeIww/vqeAoM6MOu2SU47WgY9/2ceP7p3GB944jbGpBp7YyVD2HFTLQHvPqY3TV13+Odej/52QyosPcACY11XkX/3nm65ZuawvXNwbfKSrNOKtXT6J/eMjKHohzjnVQRAU0QygwmrltH6AjEKslGJ4TBiIyKDKQJfpjk/reYsWS25zwlarm6cMmGBtAX2C6xRhllSYQTXJAtU4xvGC3AK0INL8IgUtiLBALdTdIPTAEgRChxaSHKqij2FEJGrqog9MdfRhAmZkLLhdPQtJskVK9IKIYKamY7/1xLseQFzApQhi4NYHS6hFgO/G2HcwwtqBEJs39AfU7b92xxM//+s1G67gx3/1TjDAAWBoAQlCLP1UG5sK6jNPfeLf/iOgT+zrx4XrYyzoAHyXw3VCuE4Ezw0UPATAIxmWIDRKTFBnrDeUxzJT9iH1WLYqJa2cW8wJbpoD1haaQUQC+OSM1Q6yE7+mfqK8HdrUI+uSt5w/Ji2xvqN1b/kFDXxCbGtuOoVE1ooDSeJDul5YFjuhOgZl4bquCswoRIPSqBfUNaeJ902Bm/pgzEXRkUa95FKsXdSJ806bxUO7R3H/tj4+HXd9grm9n3lsx0TwfPH5q5Mb1c6/+EosW7S7vvrU3pvG+Qbx7Z9WMTXajfGxBdg30oXJmTJqzQKC0EMYuYhjB5xT+5mbgDvPc2kMLCEsmmKpBTAGljD6ANs6Ay0WHTnrQLLfI/a2CYgzGH6u5lqD2/xs9qk9ZweeZikJy1MJkhmIGv0ij1a0DkLNwaMegOYnLCsuDgKOdPBpCwYKZoQB1ANlLsou0OUJ9BVjLO8Guopd6Cz146otFFe/4VTRt3jxTY8PT9Tf8PrXPV94Pn8LDgAhXY5KT9uOUlvfu952VfsXDx94hPZ3E4Shg3rTgcNcK1+TizSexNK/s1k6kF5Fh7TmVprLZvCUXcRHATXjtLB4NgwqkgG0Cfz0dFN6YvZbIDcXjoH3zJjSiJxWlhloscD6JkiCqQzQC2snxuDRCLSyqmIRQwdX++AcIExYNwEnBEynvSU6uTA4OVXH4DBDbZOTJQTaYedRggrjKDkCZRXyP3yE4BdPlPHqi87mW1YMvmukMX9HmU6eCGg+fwsOAKcsOxvbn3KCV12w5fr1ywt/unFNF7rbGvC9GEIQhBFFFDHE2jJAPma1Lmw7csz6JrByLHUiQzYEdi6OnRTxSYCOVqDPQVus5ay1NztzgG7z9eNsYo5l2NZcXz9YgM3Ih0Y2vchYd66+k0z6avByLoxjtMSLG9OjmNZb/6fcjieHUNn+CYOWRsylAh5TuSwEaIYCh8eamKxXsOOA/6cDS869vr/sBKeuOPNEQPPEABwAVq5agcmJQ/E55/3Grk1nv2J60UIHvldHFFFEkYovUBeAEgARsHu/i/Gak1OhKk1kyNY2Ma20nSWflj+2rbFopSj6kmtLbQ4BgFwKg8wNYHXPsW3Oh9YmrDcLrFYEYXaAaNCW5DiWN5MY+zFoi3UTwKIugAlgIEtTTPrCLRqTxobrhIg4ZugsCixdFAAOl34iosdSAi6TBaSm6gIhq2Lz5i3Tr7380l3DwyPxwKLBEwXLEwdwAPD8IsrF0VsGV5z+bqfzkrHtw704OskQRPIC6L/SdWMcGCX4zk9KODxuzoSm8yylZ9AhgAthueTNZAZrclbY1pgawMulLVnrbO4j44NPczGN/iyoNdkxNzkO822OH4XIWSdyvmAs5zp0YC7bFl/kAljTE9viW8WDWri3MaOysvCxUWIiCBz0dQK/fUkdAz2hTH5Q4yNGpAWvFgXO3diO9739orEzN216966DtVtKpWNn6DzXdkI4uG6lUjsAYN/B6RsWLr3EqdXLnx49cEdvHI9AFwJyWAyQGN+9y8edjxUBV80+rGchVuB2iXTHa8vtkCw1aQ0UaqUgIhdweQNN8x2ZPrNlnTwWTyGt3XM1i3+LRNHLIF6+W6oI0VZXJH3yJEWirqQ7l1+WM48oxQS2skKSfcvrmPBuyAjo1NpLpYTrk1UFgmRScvpD4uTnC4QBx3mnhvjNLbP4ws0liDhG6FB1LI6B/k687vKLj5x//tl/BkQ3LFmwACe6nVALrtviBW3oqET/dNZZZ3102fJTjpQKMsXNdUIUigEOjHHc/rMipmtFwPUB5gNMTj9CKUmiBB3DYtvWWxhOntYBpDmRlPk5AWgCXtIK7hZ6QuzvwN4PkL/ObLmWfA6ebSsfrQpLsrHBT6wBqEU7DJXF2le+Nc4qLC3ThmeK6usCQbrcG+dyyvAoZohiF83AQ1uB4VWvqGGwpw40QzRjYCokmA0oVqxadeSMM87+6NQU/ydCOl4IKL4wAAeAUqkNh/bcdn1HtfDhBQs7x8rFGRS8ALP1CP96WwFbH6kCXhFwCiDMA6UMDpXTX+gpMJJMHaRyH6OZDHnYFtn0WuZmzyfLxKIsEom2ogKkwCXWTZIi+7jAPEcz6UceRQEMwCMj55l92feWuBRzIErytxc6Ydn8ns3Dda6mMLh6AnIuKUoUO4hiF0HoIQh8NIICtqyL8buXTqG9VEMQRpiocVTnD4y5hcqHv/7vP76+vf3YxXueT3vBAA4AS1e/Dr0d+7/e0Tn/PcXK0mnfrePpEYF/vLkD4/U20EIRvuOiyAhKTKBEBXwicuawzBTvAZL3/DJsxjYmX0bGOudY9QRtZr+25Gi12smaLNBV37MBvrUUREbvNjvVQVo4dvYd2XWwLLOV1Jy13NmpT2AC3wy8ypZ6owkPjyIHQeSiGRQwWyuhWvBx9WtrWNFfA2p1rFu1aHrx0oH3PDTc/Pq7/vDKFxKCJ5aD57Uo9nksur7hlxDxsPm1B7fvKAxPVeGWSqh6BD6Vf0ks5Nwsmj5qwOqowWzGfG4JtmQ5Dfds4eUmsDMvkFZQ62YB3QJ3epzM2PT4m+Fd1DxcqIMm+ZYkBTWB4SczvZ2Kt6d5mVA03NDCk+ApIb2RRKW2aV6PlIPrHVFIuU8W5FTHpXp6QHUTADLNDTLGWyhRgTEHAhRdlSmsWFIDraxvLh/qv7q/r+Nb0zO15+WGP572ggO8OvAu8LHPxKSz+q2f/nRZvPWJ7n92+EShuwK0exwOFQg5QT0E6rEEuda7GYSlftiRgnOlp4lc8NnLmRnTknWt4G0ZVCafSeZzpv+5NhOgJKUsVqQgSd8J0kEnyQCZaGlQgZro/apBpzD3rUAPpG56LoiaTkRp2crxbDqEkhmOBVHT9ciTEIIgihw0AhdxTMEoRxi56KiE+NAfDDZp1xun/eLgPTyejVcPdr/Q8HvhAQ4AtOsDeOc1X4mHVvZ+u9Q2//cvOvPQV0f27y21lwCHEUw3gOlAVhXVXspU30YyA3EW3ImPKMdCz+nMybPkxL4BdJ/NzXMGoobZthxFydNjbrBnvZi6MwGSWqktdgp+HSuSWmlLYTGtsbms9seFSpS3wmN1VAvSiESSrtdZQMm8U3onnIJATiQm1S+poUQxw0zNx3TNA6MxKkUKr3h6bcnCeW/pWDS0FfCOPFtFqhOGvRflKAC+eM3VOLSnIi7s3Hbj5nXzr968YWCyr4Nh8TyGpQspenvrqMURmjzlrjqhwZ5XJ6OFwxhoZl+kFbyWl9HkyDpgKodzp5aetFj0LHXR37TBmw90K5kBqas9eTeVlawrPrMtYO/L/Kz5c4v309LOCbKJEnryVcm3TQ2dJLNK6HdARoy6TgPPjNWxY7+D3cM+Do0V0RArJ+t85dVfu7HzxsO7vj5CCImPa5LcE9Cec8ra82n3/PibOOuyq7F2efdjfb1dBweX9p/fXmyULjxtAm+4eD++udVHM/JRYoBrTPmXlkC2rbtl5TOWvbVksv5MrPWJs4iQzLbETjg2vkuIncKm09rs5OL0XW8jbxRbmtT7AYwnDMybkhzjqZQfQ2PKoDDXG8dHzn7kIe3v2MvEuPnTkyYAKOFwnRjNqIa3fLoTO/YUMa+rE6tPPX200r7gfVP1zn9ZvWwWy9b/4YsJuReHopjtI+9/CwBgcnLy65S6zt5d934qGP9276O7ZdpS2QE8pjPkxbOCO9fZA7Rab8Nat3JyW+0waUbWY2nvh6QgNL6X1eWzLeHFMJQSYlhsYlhxkuHL+gfAtuoJTdH9xBy0aqKePg0IiB0mq36cWjK4NZKaKBSyshWlKqYlGXXK0tZh5IBRB0ML6xibHMD60zcf2Xz+5o+EYfj19vaOFxtqyX990prgswDIHz36yA//5h1//ePe7U8LdJcYKCE6IC6flmhqQuxtLMtsWW27DENqtc2kY2Jvl7Hseev1/qRlz7feLc6kTJmH3BQ767yMZGm9nE2eVstE+why39U2JNunrlvOdJCUCDXG0fXchXUMcwobfaMVvFnMxA6envmvRy7e/KqPCiGu7+48se73lw3AAeCJpycRRtEf3P3zhz5799Y7O8fGRrHniLQw2bLHrc4cJH9GFtw0FzCkdTuas44SYz0xbgRZLiELfIuGGMCmWXoBc33rALglxiYzFsmtDmCtM7c5FqhVXzJ4F8m11jNPE2Ndto4KTeZBTfcDwbHvUAXt7T04beNZ423zznw/IexrhPSeVHy96BQl204dagePwhsG+zaNlfHMslq49Nr/+aWfuT1FB0Sl2ugSEC2xJNDWJUct0X1JP7G/a4IM5jrSwj2JwVHMdTD2ZVEVpAPWHB9Q0swBITE+m3HemproBasWitpJ2pdRUxJ6Y1a+MrN/ZL+UIuVsEDRRZ1K6IvkTEholCEBBQaiM/45igXJhGqWuLWFEOj7MKhfuCqPi933vRR3i5baTbsF1Gz+6DR3d87w77t3+ljvu2f6Fe+59mOw/3KCeQ+A7gMMkkLlyLGjwmhJiUiI5x5qng8GMZZ+z7okEBktoQoaOGLVRUutvV7hq8XrqmyCnv7WqlfF0SajJMWjKMegJMT/n0gzZjww1Sadil+erPZ+ECDhMwHMjMBZhcraT9y1cL1hp+bv2jq/9anthJDjz9DUnG1IAXgIWXLfOnlX45UPbgr7u/hsu2Bje8cxY7Xfq9MhfjQwfRMmjKLhStgoiJNFrlLaCAjAGkbAtrG6WFUem3/xutp+kT5TsPtLpBlNwEyDXhJiDRpDUYifrM4NIqUVD1RUUtryYcQCZ1t0KTDQHnqYTCGoZ6VMkcQgRDWhJR2JBEUYMnEPOk+MF6OzqQce8gf8xy9fd2NfTt79aPRLM639pgBt4CQEcAM48fRUA1P/02hu3r18z9CniVb2BeZWPTx7ay3wWyizthpwE1FNnbgINsAGdKiOtnksB7QTIeC+N/ST7MCQWM9FYv6eUpxXcxilY6ngW5Fqjpsjo38Te1kpETgCLVIUx5Ba7jkp6jNQrmXo+tauHQOsiRH1XPiVcJwaNOcYmPdSbFJ3tHvoXLorbOjv+uqOv61Oz4w/Ele53nGwItbSTT5Jy2r2334jVm39bfP5jr7/j1pv/xS/5OIthxlm2sIaH9gWoNR0UHMB1pJzYksljUhSzzJreJqt3Z7azNO6EthCrjFuWqujPFr83Qf8sbDAbSGhr23MPsNOnyFwTZuUU50wOkjN2MR53Qp21wzgqpSaCaAa3/aKKcmUeTll1dnNo9ev+tq33wj9//zsvF9UFbz3ZsMltLxkOntcmJqYQxzEIIX9z+NCec0b330g//tXaObt2Npz+doqyL5OBrMg7yP+IJUBtreaaVVaOJRXKsok2kJnBx1NlJT3Osdz0IhsTm9Aq++bQ58SMCrfp55R7M2OZaL+BwbsZNVQmaqgg5jvlaqwhjPOUAHcYR8EL0VGZRh1e9JlvDN37Z2+/kq9cMXivEOKjlDIUim0nGypztpc0wM3255+/BY7rttWmp798cPfu1x86NEJJXIfnUkQcCEIkgVoaCIySfAtoAMjSvA1JMCsHyhdV+yYJ2JOXegpYceZA6h5HxqmSWWda3mz55qSYKDMAnjfwzA46swNOY/BoqlByFmuZI0mIQMwJgogiDCkIInR2OOju6eF98/v/vVQqvS2Koun2hW8+2ZA4rvayATgAPP7k0yiXCj07dx9879Z7718rwunf2vbULkzXCWabFDEXcBjgMmnZGbXnrszSF9N6J6pIximUBThT9IRRAsqIBfbsYFc3K3Od24NEbdD1d0wHEtPgZumyfOVp4DDUER1mLDI3QerIgXFdGBVwHQ7X4XAYR8wJJqcdHB4j6FswiIH+0k2LBjc+Vmpb+Pdx1Dja3jV4sqFw3O1lBXDd9h/Yj0q5vOSp7Ts/t3vXU7/1w62PYOvDUygwB91tBCVPwHOlxKeDhnRWt+0syVjvrMczA3CmUuqYAjZjBmUxeL22jlrlSJJ6hQS4nKZdJBZd/xPSuZU+PeRxFKhZasGZph4W/ciRC9VEACbQGU0rYOkqs4wJ+G6MciFCpVSDEE08/cwCuJWzMDi0/KYlg8vfV6/N7u3vX3iy//rn3F5SKsrxtkUDizA6Nr531apTP9Tf493Qt3jpe9H26Pn3PbAbjeY02goMvitDccNIoBFIIDGauZ+zAzmknB2wpbbkK0Tr79Jya3CbXNmkJzJmQxXUSSy3nAdecKMgj9q3dKIAoASEp+dHjRNJHUuGQGLGapM0ajCZddg4BqPyuEHAEIYUrsPBCIfgITo6GDp716PUf86dU/Wev1+2bOkjYRi9LMENvEwBDgDdXZ0AsFMIsXPxEB57cOdU/6VbTvvSzm3blj/88CPMd2N0tjkYm+EYnY7gUMB355aNclUGBUYdO53d1uTI2spSC3US1KY1ByTYpSVXs5Ul+xWyipR1XkR6F1NDDyClJInEmGThqNkVTKAj/S6lAp4bw3FijE17ODLO0NlG4LoeOvvXx92LBne2lY++vWPxhc8A2P5ihbW+UO1lC3Dd1B+w/eDI2PYoji9d0OUvvPSiM755zz13V7sKw+Wj0/uwf6uPZrMI3xXJIA6AlXWgPZJMrZPxzxpYIg0AQyr96e0dZg4AkYQP6JojUZwCUPPwOJYvTVXMwCwhBAQjcEDBiZzqz3ySWIWOlBNIF9LU56o1bX1zpeWQgVIhRhBP4hfbKIhYgqGhRbObzt4yRRFc5VcGhiPK9novc2Dr9rIHuG4L5neBc7530YKe/aPj02s62+grOtrCf/y/dz0S+cU9XR6ZaPPdGA5TGSkKBElhHAAOJXAcAi4EYi4QxVLxkAX3U48LMXm5ArfLAMZE4trXe+dccmsuAMQAhLTcUcwRRXJ9euMIUJ14CqjgJgJq3GxEDT4dJhKJNBQEUSTzJl2HyLAG40lCAMSxQBQRADLzfenA/OnXX7lqLGZnOD1V963z+wd/xtzyJAD+crfaZvu1ATggVQ4AfHbqmfHFi/pvjYLxFV/51681P/eJr3xw690/f/OBfbvDZrO+amomKBwenUW5KAOFRAS4RQnuUpGBABidDDDb4KBUxsJQInMVgXTw6Si1xtVOJyYMKy7PScZPSwsbKmsbcYEglC/BlZtcDXoZ1bmRKh1MxcNwbhybCbiuLE3NqMD4NMP0jDTn5aJAwRfwXY6YA3EMFIohQl5FGHsNt1Dc1tW/yO1btvGG73z5Df/rwktv9Du62hv7hqf40OCvXmj+pdp+rQCuW7naD0hGUHt82x64rnOt47BrN25Yw6pt5S8cHa+tuP/RPecWcITVG9PYMxyh3uDoaGPobGPo7w7x5IEmHt/norvCQQoUrivtvElNND3xHAHXlfX2HGZr0EIADUYRxSmzDiOBeoOjGSp6YgRVOUyrG8phTrmcIJWnPJwRwHM5KqUI3dU6njroYPu+Avq6GCglaC+HKBYi7D/swHU7sHpVW+yWlt8Vicr2ZmP2XYQ0YsJKePvbviMqHYO1k/1/vZDt1xLgZluzaimQ0tdo+NDE21zX69z8ivFP7njsR16z/kh8z6NdGwUvnlFxp9BRmcWqJRMYnqlh72gPfEbhuyk9oMqiJtTEEfBcAd8T8BwOxkQix7mOlN+E4JipFdAIPBQ8gokZgYNjkpt4rqI3SvKLGIHLBeBKcDNKwJl0vqRBZvJY5WKI+d0TGJlmeHBnFacvZeiodqFvfh8Im73/qWdmHzht1TJ2yroLgraOzo+JKBin7gufyf5Sar/2AM+2hX0dADAO4J0A8N3v/xTnbcb54NGrS17zqkphdmV7eQT7/uNhFIoF1JoNFGsRii5DuSBpjOOk9MRhgOcKFP0YBY/LsFNIGlEuROhqn8WRqToe2d0Fn1IsG2CY11PHIwdCjI8X0VsFSp5IBreUCPiuDElljCBmkq9TShBxgjDiCMMI4AEKbgDH9XDWaoG2tg1YOq+Kgf62pxYtLH+zXGK3rViBO5etvgB/9N9O9lU/ee0/HcCz7crLLwKAO6enxu8UwFaKaNnI0YN85zPDfMvGwcF1Q50fOTKyHz0dLmrTY4jDaTUnDQDBQAjgOTEqxQAdlQC+x3FkooQ4JvDdCIzVcNsDHPdtd7F5BYfDKM5cGeGZ6UnccKuPZshQ8aXSMjIJ+I5AR1mWYvAcIIoEoihEGFCEIUF7Wxf6B3rQXm5g/uJ5cOj+T51/2o7dW847hxYLC2ix4OwCcGuXlFH/07f/9ADXra3aCQC36s979x9GoeB37Nl38N6HHmFoLzthT/fa93uOeBUBABFh25OPIAymUS5FmN8TQpAAdz0cY3bGx9ACis62CFEcYGwKCJoxokjybx7HqPh1BHGAZuDAoQTLFwGn+CF+ub2CWuSgxxVoqzjo7GjDhg0b4LoMjBIUfHa7S+ufLRcDt3PearS1X3FnFDUnCqW+k30JX5Lt/wN8jrZk0TwAmABwMwAcPnwIALZBxH1CgMdRgD27n0YYNuA4QKlI0QhqYVy47JqOUnxFb38YtvcEaCvP4DXnR3C8Xpw6QLFgnoP23hn4bTN41dlVdBQoetuB01f67pJF7Ht3XnP/NRVScl1XwPcZqtU2rFu7Bq7ngIBQx2GHAOyeP3/+yb5EL4v26yN4vgTav37nHgDoE8Hh9qH+pujpiFApNbD3SIDbf96FZfMpejoZli2s4db7mzgwUkRbkaCzDKw/pUjWrOyZFAKH2uefe7J/yq9N+38A/O61Q2NtogAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNzoxNzozMSswMDowMKg2ClkAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTc6MTc6MzErMDA6MDDZa7LlAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 94715000
{'hecke_orbit_code': 4504699172553328, 'n': 1, 'trace_an': 2}
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id: 94715001
{'hecke_orbit_code': 4504699172553328, 'n': 2, 'trace_an': 0}
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id: 94715002
{'hecke_orbit_code': 4504699172553328, 'n': 3, 'trace_an': -1}
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id: 94715003
{'hecke_orbit_code': 4504699172553328, 'n': 4, 'trace_an': 0}
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id: 94715004
{'hecke_orbit_code': 4504699172553328, 'n': 5, 'trace_an': -2}
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id: 94715005
{'hecke_orbit_code': 4504699172553328, 'n': 6, 'trace_an': 0}
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id: 94715006
{'hecke_orbit_code': 4504699172553328, 'n': 7, 'trace_an': -2}
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id: 94715007
{'hecke_orbit_code': 4504699172553328, 'n': 8, 'trace_an': 0}
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id: 94715008
{'hecke_orbit_code': 4504699172553328, 'n': 9, 'trace_an': -1}
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id: 94715009
{'hecke_orbit_code': 4504699172553328, 'n': 10, 'trace_an': 0}
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id: 94715010
{'hecke_orbit_code': 4504699172553328, 'n': 11, 'trace_an': 2}
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id: 94715011
{'hecke_orbit_code': 4504699172553328, 'n': 12, 'trace_an': 0}
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id: 94715012
{'hecke_orbit_code': 4504699172553328, 'n': 13, 'trace_an': 5}
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{'hecke_orbit_code': 4504699172553328, 'n': 995, 'trace_an': -10}
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id: 94715995
{'hecke_orbit_code': 4504699172553328, 'n': 996, 'trace_an': 0}
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id: 94715996
{'hecke_orbit_code': 4504699172553328, 'n': 997, 'trace_an': 23}
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id: 94715997
{'hecke_orbit_code': 4504699172553328, 'n': 998, 'trace_an': 0}
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id: 94715998
{'hecke_orbit_code': 4504699172553328, 'n': 999, 'trace_an': 11}
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id: 94715999
{'hecke_orbit_code': 4504699172553328, 'n': 1000, 'trace_an': 0}