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mf_newforms • Show schema
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{'Nk2': 3240, 'analytic_conductor': 6.467882563723711, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [810, 3, [731, 487], [1, 3]], 'cm_discs': [], 'conrey_index': 271, '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': [[7, [25, 5, 1]], [11, [0, 1]], [13, [1, -1, 1]], [17, [-6, 1]], [23, [81, -9, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021872675685162, 'hecke_ring_generator_nbound': 2, '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, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '810.2.e.g', 'level': 810, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '810.2.a.d', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\zeta_{6})q^{2}-\\zeta_{6}q^{4}-\\zeta_{6}q^{5}+(-5+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '810.2.e', 'trace_display': [1, 0, -1, -5], 'trace_hash': 959747128263086972, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.951', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.174', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '98.981', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, 'traces': [2, 1, 0, -1, -1, 0, -5, -2, 0, -2, 0, 0, 1, 5, 0, -1, 12, 0, 10, -1, 0, 0, 9, 0, -1, 2, 0, 10, 0, 0, 4, 1, 0, 6, 10, 0, -20, 5, 0, 1, 3, 0, -8, 0, 0, 18, 3, 0, -18, 1, 0, 1, 6, 0, 0, 5, 0, 0, -9, 0, -8, 8, 0, 2, 1, 0, 4, -6, 0, 5, 12, 0, 4, -10, 0, -5, 0, 0, -2, 2, 0, 6, -6, 0, -6, 8, 0, 0, 12, 0, -10, 9, 0, -3, -5, 0, 16, -36, 0, 2, -12, 0, 13, -1, 0, 3, -12, 0, -32, 0, 0, -5, 6, 0, 9, 0, 0, -18, -30, 0, 11, 8, 0, 4, 2, 0, 22, 1, 0, -1, -15, 0, -25, 8, 0, -12, 18, 0, -11, -5, 0, 6, 0, 0, 0, 2, 0, 10, -18, 0, 10, -10, 0, 0, 4, 0, 13, 2, 0, 1, -90, 0, 16, 3, 0, 6, -12, 0, 12, -12, 0, 16, 21, 0, -5, 0, 0, 6, 6, 0, -20, -5, 0, -9, 10, 0, 0, -6, 0, -10, 24, 0, 4, -16, 0, -18, -6, 0, -8, 1, 0, 12, 0, 0, 3, 26, 0, -2, 0, 0, 19, -3, 0, -6, 16, 0, -40, -16, 0, 0, 6, 0, -8, -10, 0, 12, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [1, -1], [0, 0], [0, -1], [0, -1], [0, 0], [-5, 5], [-1, 0], [0, 0], [-1, 0], [0, 0], [0, 0], [0, 1], [0, 5], [0, 0], [-1, 1], [6, 0], [0, 0], [5, 0], [-1, 1], [0, 0], [0, 0], [0, 9], [0, 0], [-1, 1], [1, 0], [0, 0], [5, 0], [0, 0], [0, 0], [0, 4], [0, 1], [0, 0], [6, -6], [5, 0], [0, 0], [-10, 0], [5, -5], [0, 0], [0, 1], [0, 3], [0, 0], [-8, 8], [0, 0], [0, 0], [9, 0], [3, -3], [0, 0], [0, -18], [0, 1], [0, 0], [1, -1], [3, 0], [0, 0], [0, 0], [5, -5], [0, 0], [0, 0], [0, -9], [0, 0], [-8, 8], [4, 0], [0, 0], [1, 0], [1, -1], [0, 0], [0, 4], [0, -6], [0, 0], [5, -5], [6, 0], [0, 0], [2, 0], [-10, 10], [0, 0], [0, -5], [0, 0], [0, 0], [-2, 2], [1, 0], [0, 0], [3, 0], [-6, 6], [0, 0], [0, -6], [0, 8], [0, 0], [0, 0], [6, 0], [0, 0], [-5, 0], [9, -9], [0, 0], [0, -3], [0, -5], [0, 0], [16, -16], [-18, 0], [0, 0], [1, 0]], 'ap': [[1, -1], [0, 0], [0, -1], [-5, 5], [0, 0], [0, 1], [6, 0], [5, 0], [0, 9], [0, 0], [0, 4], [-10, 0], [0, 3], [-8, 8], [3, -3], [3, 0], [0, -9], [-8, 8], [0, 4], [6, 0], [2, 0], [-2, 2], [-6, 6], [6, 0], [16, -16], [-12, 12], [0, 13], [-6, 0], [-16, 0], [0, 6], [11, 0], [0, -15], [18, -18], [0, -11], [0, -18], [10, -10], [0, 13], [8, 0], [0, -12], [21, -21], [3, 0], [-10, 0], [24, -24], [0, 4], [-3, 0], [-4, 0], [0, 19], [-8, 8], [-24, 24], [0, 4], [-24, 0], [0, 6], [-14, 14], [3, 0], [0, 6], [15, -15], [-6, 0], [2, 0], [-17, 17], [9, -9], [0, 4], [0, 27], [20, 0], [0, -6], [4, -4], [-3, 3], [16, -16], [0, -2], [0, -30], [22, -22], [18, -18], [18, 0], [-8, 8], [0, -26], [-1, 0], [0, 21], [24, -24], [2, 0], [0, -15], [0, -29], [0, 24], [22, -22], [-12, 0], [-16, 0], [-26, 26], [-6, 6], [27, 0], [28, -28], [0, 0], [0, 1], [-6, 0], [30, -30], [23, 0], [0, 27], [0, 13], [0, 0], [0, -42], [15, 0], [-34, 0], [8, 0], [-8, 8], [-39, 0], [0, -12], [33, -33], [0, -20], [-16, 0], [42, -42], [6, 0], [0, -18], [19, -19], [0, 16], [29, 0], [0, -6], [-17, 17], [8, 0], [-18, 18], [0, 4], [0, 0], [0, 18], [-39, 39], [0, 40], [-2, 2], [-21, 21], [18, 0], [1, -1], [-6, 0], [-2, 2], [-18, 0], [1, -1], [0, -14], [20, 0], [0, 24], [0, -38], [-7, 0], [0, -3], [0, 10], [18, 0], [0, -14], [0, 6], [-3, 0], [-16, 0], [42, -42], [0, -44], [24, 0], [32, 0], [12, -12], [10, -10], [-42, 42], [0, -20], [-39, 0], [0, -11], [30, 0], [-22, 0], [0, -51], [-2, 2], [-6, 6], [-16, 0], [-6, 6], [-28, 0], [0, 54], [12, -12], [-36, 0], [0, 40], [-27, 0], [0, 18], [-48, 48], [-16, 0], [37, -37]], 'char_orbit_index': 5, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 27021872675685162, 'hecke_ring_character_values': [[731, [0, -1]], [487, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '810.2.e.g', 'level': 810, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3240, 'analytic_conductor': 6.467882563723711, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [810, 3, [731, 487], [1, 3]], 'conrey_index': 271, 'cusp_dim': 276, 'dim': 32, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 23], 'hecke_orbit_code': 274911462186, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], 'label': '810.2.e', 'level': 810, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 372, 'mf_new_dim': 32, 'num_forms': 14, 'prim_orbit_index': 3, 'relative_dim': 16, 'sturm_bound': 324, 'trace_bound': 11, 'trace_display': [0, 0, 0, -20], 'traces': [32, 0, 0, -16, 0, 0, -20, 0, 0, 0, 0, 0, -20, 0, 0, -16, 0, 0, 16, 0, 0, 12, 0, 0, -16, 0, 0, 40, 0, 0, -20, 0, 0, 12, 0, 0, 40, 0, 0, 0, 0, 0, -8, 0, 0, -24, 0, 0, -24, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 32, 0, 0, 16, 0, 0, 12, 0, 0, -32, 0, 0, -8, 0, 0, 4, 0, 0, -24, 0, 0, 24, 0, 0, 12, 0, 0, -16, 0, 0, 12, 0, 0, -8, 0, 0, 32, 0, 0, 4, 0, 0, 0, 0, 0, -32, 0, 0, -20, 0, 0, 0, 0, 0, -24, 0, 0, 20, 0, 0, -20, 0, 0, 40, 0, 0, 0, 0, 0, -16, 0, 0, -24, 0, 0, -8, 0, 0, 0, 0, 0, -24, 0, 0, -20, 0, 0, 28, 0, 0, -96, 0, 0, 28, 0, 0, 0, 0, 0, -32, 0, 0, 48, 0, 0, 36, 0, 0, 16, 0, 0, -20, 0, 0, 84, 0, 0, 16, 0, 0, 12, 0, 0, 120, 0, 0, 0, 0, 0, 88, 0, 0, -24, 0, 0, -104, 0, 0, 48, 0, 0, 12, 0, 0, 40, 0, 0, 40, 0, 0, 24, 0, 0, -208, 0, 0, 0, 0, 0, -20, 0, 0, -72, 0, 0, 64, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 76, 0, 0, -32, 0, 0, 56, 0, 0, 0, 0, 0, -240, 0, 0, -16, 0, 0, 56, 0, 0, -72, 0, 0, 0, 0, 0, 16, 0, 0, -32, 0, 0, 0, 0, 0, -68, 0, 0, -24, 0, 0, -32, 0, 0, -60, 0, 0, 200, 0, 0, 16, 0, 0, -60, 0, 0, 240, 0, 0, -112, 0, 0, -8, 0, 0, 208, 0, 0, 0, 0, 0, -56, 0, 0, -8, 0, 0, -60, 0, 0, -72, 0, 0, 40, 0, 0, 12, 0, 0, -8, 0, 0, 96, 0, 0, -128, 0, 0, 24, 0, 0, -16, 0, 0, -48, 0, 0, -32, 0, 0, -24, 0, 0, 48, 0, 0, 108, 0, 0, 432, 0, 0, 8, 0, 0, -44, 0, 0, 120, 0, 0, -68, 0, 0, 12, 0, 0, 112, 0, 0, -120, 0, 0, 24, 0, 0, 16, 0, 0, 60, 0, 0, -120, 0, 0, -8, 0, 0, -16, 0, 0, -256, 0, 0, -240, 0, 0, -44, 0, 0, 4, 0, 0, -48, 0, 0, -72, 0, 0, -32, 0, 0, 0, 0, 0, -88, 0, 0, 36, 0, 0, 256, 0, 0, 16, 0, 0, -128, 0, 0, 0, 0, 0, -108, 0, 0, -20, 0, 0, 0, 0, 0, 48, 0, 0, 88, 0, 0, 0, 0, 0, 28, 0, 0, -168, 0, 0, 32, 0, 0, 12, 0, 0, -8, 0, 0, 96, 0, 0, 56, 0, 0, 20, 0, 0, 328, 0, 0, 0, 0, 0, 24, 0, 0, 40, 0, 0, 16, 0, 0, 84, 0, 0, -168, 0, 0, -20, 0, 0, 56, 0, 0, 120, 0, 0, -120, 0, 0, 0, 0, 0, -320, 0, 0, 48, 0, 0, -76, 0, 0, 32, 0, 0, 0, 0, 0, -48, 0, 0, -176, 0, 0, 12, 0, 0, 136, 0, 0, -24, 0, 0, 104, 0, 0, -8, 0, 0, -280, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 24, 0, 0, -80, 0, 0, 12, 0, 0, 168, 0, 0, 144, 0, 0, 248, 0, 0, -20, 0, 0, 240, 0, 0, 144, 0, 0, 76, 0, 0, -56, 0, 0, 28, 0, 0, 48, 0, 0, 184, 0, 0, 48, 0, 0, -32, 0, 0, -192, 0, 0, -16, 0, 0, 28, 0, 0, 208, 0, 0, -192, 0, 0, 12, 0, 0, 0, 0, 0, 16, 0, 0, 120, 0, 0, -96, 0, 0, 16, 0, 0, 48, 0, 0, 48, 0, 0, 160, 0, 0, 48, 0, 0, -192, 0, 0, -48, 0, 0, -152, 0, 0, -72, 0, 0, 56, 0, 0, -72, 0, 0, -96, 0, 0, -8, 0, 0, -56, 0, 0, -288, 0, 0, 0, 0, 0, -20, 0, 0, -160, 0, 0, -60, 0, 0, 40, 0, 0, -168, 0, 0, 96, 0, 0, -24, 0, 0, -352, 0, 0, -8, 0, 0, 76, 0, 0, 0, 0, 0, 76, 0, 0, 12, 0, 0, 16, 0, 0, 168, 0, 0, -108, 0, 0, -240, 0, 0, 4, 0, 0, 84, 0, 0, -296, 0, 0, 0, 0, 0, 152, 0, 0, 24, 0, 0, 52, 0, 0, 88, 0, 0, 40, 0, 0, -72, 0, 0, 72, 0, 0, 48, 0, 0, 304, 0, 0, 0, 0, 0, -256, 0, 0, 52, 0, 0, 228, 0, 0, 456, 0, 0, 48, 0, 0, 48, 0, 0, -176, 0, 0, 168, 0, 0, 8, 0, 0, -24, 0, 0, -260, 0, 0, -72, 0, 0, 640, 0, 0, -20, 0, 0, 0, 0, 0, 24, 0, 0, -52, 0, 0, 40, 0, 0, 184, 0, 0, 12, 0, 0, 196, 0, 0, -48, 0, 0, -296, 0, 0, -144, 0, 0, -144, 0, 0, 104, 0, 0, -16, 0, 0, 192, 0, 0, -20, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 128, 0, 0, 40, 0, 0, 36, 0, 0, -12, 0, 0, 192, 0, 0, 36, 0, 0, -392, 0, 0, 48, 0, 0, -24, 0, 0, 64, 0, 0, -488, 0, 0, -240, 0, 0, -20, 0, 0, 0, 0, 0, 144, 0, 0, -72, 0, 0, -320, 0, 0, 24, 0, 0, -72, 0, 0, -24, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, -36, 0, 0, -152, 0, 0, 196, 0, 0, -120, 0, 0, 416, 0, 0, 16, 0, 0, -72, 0, 0, -168, 0, 0, -72, 0, 0, 56, 0, 0, 280, 0, 0, 0, 0, 0, 76, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 512413
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '810.2.e.g', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '810.2.a.d', 'target_level': 810, 'twist_class_label': '810.2.a.d', 'twist_class_level': 810, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 512414
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '810.2.e.g', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '810.2.a.h', 'target_level': 810, 'twist_class_label': '810.2.a.d', 'twist_class_level': 810, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 512415
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '810.2.e.g', 'source_level': 810, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '810.2.e.c', 'target_level': 810, 'twist_class_label': '810.2.a.d', 'twist_class_level': 810, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 512416
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '810.2.e.g', 'source_level': 810, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '810.2.e.c', 'target_level': 810, 'twist_class_label': '810.2.a.d', 'twist_class_level': 810, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 512417
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '810.2.e.g', 'source_level': 810, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '810.2.e.g', 'target_level': 810, 'twist_class_label': '810.2.a.d', 'twist_class_level': 810, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 512418
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '810.2.e.g', 'source_level': 810, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '810.2.e.g', 'target_level': 810, 'twist_class_label': '810.2.a.d', 'twist_class_level': 810, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 512419
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '810.2.e.g', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4050.2.a.a', 'target_level': 4050, 'twist_class_label': '810.2.a.d', 'twist_class_level': 810, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 512420
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '810.2.e.g', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '4050.2.a.s', 'target_level': 4050, 'twist_class_label': '810.2.a.d', 'twist_class_level': 810, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 512421
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '810.2.e.g', 'source_level': 810, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '4050.2.c.f', 'target_level': 4050, 'twist_class_label': '810.2.a.d', 'twist_class_level': 810, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 512422
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '810.2.e.g', 'source_level': 810, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4050.2.c.o', 'target_level': 4050, 'twist_class_label': '810.2.a.d', 'twist_class_level': 810, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 512423
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '810.2.e.g', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '6480.2.a.a', 'target_level': 6480, 'twist_class_label': '810.2.a.d', 'twist_class_level': 810, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 512424
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '810.2.e.g', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '6480.2.a.n', 'target_level': 6480, 'twist_class_label': '810.2.a.d', 'twist_class_level': 810, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1355450
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 27021872675685162, 'p': 2}
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id: 1355451
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021872675685162, 'p': 3}
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id: 1355452
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 27021872675685162, 'p': 5}
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id: 1355453
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 27021872675685162, 'p': 7}
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id: 1355454
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021872675685162, 'p': 11}
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id: 1355455
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 27021872675685162, 'p': 13}
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id: 1355456
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 27021872675685162, 'p': 17}
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id: 1355457
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 27021872675685162, 'p': 19}
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id: 1355458
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 27021872675685162, 'p': 23}
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id: 1355459
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021872675685162, 'p': 29}
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id: 1355460
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 27021872675685162, 'p': 31}
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id: 1355461
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 27021872675685162, 'p': 37}
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id: 1355462
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 27021872675685162, 'p': 41}
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id: 1355463
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 27021872675685162, 'p': 43}
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id: 1355464
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 27021872675685162, 'p': 47}
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id: 1355465
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 27021872675685162, 'p': 53}
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id: 1355466
{'charpoly_factorization': [[[81, 9, 1], 1]], 'hecke_orbit_code': 27021872675685162, 'p': 59}
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id: 1355467
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 27021872675685162, 'p': 61}
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id: 1355468
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 27021872675685162, 'p': 67}
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id: 1355469
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 27021872675685162, 'p': 71}
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id: 1355470
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 27021872675685162, 'p': 73}
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id: 1355471
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 27021872675685162, 'p': 79}
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id: 1355472
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 27021872675685162, 'p': 83}
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id: 1355473
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 27021872675685162, 'p': 89}
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id: 1355474
{'charpoly_factorization': [[[256, -16, 1], 1]], 'hecke_orbit_code': 27021872675685162, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 7, 'label': '810.2.e.g', 'level': 810, 'portrait': 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Ia5ScPshGapHdLuCwaJz3JPsGHCsNgynLygqPgBG6Zhy1zE+pkB62aGbJgZsmW9ZdsGxZVbfaqqzrGTTR7aG/DEwYRnTsRo1eEtt7V4x8ssVTXDwROTHDvrceai5nwK7kMLlpuunufn373M1tkJzsxPcXGpyuKKz2JLstzRtLqaTh/2H11i/+nWlc8dPveK46fO7Thx5sKXb3ndd0T33/GJFxoSf63H32oGn19sM0g0SopfeeCJIy/797/1Efndtx192f/zztPe0sp6FluTLKzUWFgOWVjxWGwJFlc0S+2YxRXN+RU4sihYN7vCL/zAIi+5vMapC9OcvVjn7ILHhUXL+YWE0/Oai52EyekBL7+2y0t3QyCrhCrkwlKFcwse55cEvSEkiaESGOoVzdREggFOnE9od2H7ep96dYi1AkRAt2/YtmHI4ooH1kmRlS4ME7BYlloRm9f5dPoKoSzCDGlWfLZtHLDSE5w466GNx0xT0qgIQh+SRNAbSs4vSc4tWi4sJ4ThAPyEW67q8rKrBXPNKovLTU5dCDm7ABcWEi4sJZxZgiOLlhdftcB//oFlNk42OXl+mgtLVeaXgnQVNCy1YpZamsWO4WJHcqINvaUVfuffDJPvf5P/gDf9UyaoXfkAwvyctT5eMPlCQ+V5H39rGfwP3/9xXvnyG/h//tW/+aU/+shd/+r3PnznpQdPtXYcOduVL7umzyUbDHHiYYzCWIlFprwtcfetRUlLqODMYpVHDkuu3bXE7q0DahXwPUngK4LAo16V1HxJr+tz4HiFrz4RcOLikHYSc+DUkPUzS7z15ctce2mHF+9ucXwhYaEnqIUDjp61tNp1rrlEsjLQ7DuuaNQ8nj0Bl22yDCLNQAd4XsxUA/afClGexpcJng/9oeQlu3v0e5JrL9W0+5oTZxvs3KCo1yJWhpZ1kz2Wu20+eic8dUzzzLEB2zctct0VbaamI958S4fvfKVl14YGOp7k2JkJjpz2OXXecPpizOmLmiMXBSdXYl50+Tz/+Qc6bJic5NT5aS4s1VhYCVhoSZZahpVOzEpHs9IzLPcEF3qKdifipVct8FNvn5c1nx3LC8d2JsnwZq96aTWozHxt7+Of4r1/8JcvNGTWfPytZPAP/eUnuen6reordx34T4eOnf/3Dz11Ql1ciWklisWB5rodF/jvPznP9ZfWuLA4xeJKnaV2haWWz2LLY7kDyy3NcjthqZOw0IJTywKvOuDWq5f47ldG7FxXZ6Xb5GKJvZZaTiIsdwztvqE9tPQGCTPNmG3rDSAIfcvpiz5Chmxfp9i5ybJpXY8Ly0OePtTgxsssteoyew9P06hHRJHPzJShP4Artw348J2TXLE1YTi0zE5IYt2nUQl59viAql/n+ssTnjkacWExYPNMyM6NsG1DhFIxpxcg8C1CWLavT5hqSDr9kG7Pp93zWWorllZgsWVYamkWWprzLVgcaLZt7vLdr1rg1t0eFb/JuYUmC8sVFlY8ltqC5RTcyx3Ncsey2IVzHcXFlYSbd5/jPf9okSu2VFnpNOj2AwZRE+tfoVW46ZcWh1f+YsM7oV/2ym9/oaGz6vG3CuAHDx6kUqlUL5w/s+3RJ/a+6+CRM//1uQOnGMSK7lDQGgjmB5KLnZgX77rAb/yjRV50SZWLS1MsrNRZbldYavsstz2W27DSMax0ElY6CUtty4WW4GzXgujyjttavPklhks2VoiiGsutCivdgFZHsdwVdHqCwdASJRatcauBD9XQMtm0rJuO8fwBR85F7DkcYpI6b7w5wvNXeHzfBDs2whcfSbjtmpCLrT4VT5HomOkpSGIfz09YXKzx8hvafPHBBjs3wmOHhvjUeMNLDInos+eI5tjpCp4MWD/lMVUXVENBEAiUgMRAFFsGEXR6lpWuodMzrPQMi11LX2u2b+nx5pe2eMfLIjANFlcmnN5u+Sy1PZZbsNLRtLqJY+6uYakrHLjbCTddfoH3/ORFrt5RZXFlgnavSqcX0O0FrHQEqrIVFWz8D+s2XfFX27ZvOTkYDPqXX3bFCw2l/PG3BuDHjh1m3dxccPDgoR86fPjwe5986mlxYb4tuwNLp2/oDiydgQP5xb4D+Usuu8Cv/dgSN1xaYWFlksWVOsvtkJVOwHLHY6UjWOlY2l3NSieh1TUsdy0XO4JzLcPUZI9veXGHW3YnbF+vaFZ92p0KoS8BRZRIjBEYC70BIAxTjQGHzliMjbjjsTrDXpVLNwfcem2P2KxwzxOTXH+Zz6HzXVrLTV56bY+vPR6yftqy74Tln7y9zb7jIeunJV99QnHrlYqlXpujp6a5/vKIe/b0SYY1brkqYNfWAf2ky1ceV6AFR057NGsenoBe3wXV2ljiBJAGLzC0upZ6I2brxiEvu7LHt9yYMFOvcGFpgsWVKsttd26W24JWF1qdhFY3odXVtHqWpa7kfFcw30l46RUX+aUfm+e6SyosrkzQ6tbo9AJ39D3aXXeO+3HFXH7FNfaSSy/9qZ07L/3A4sJCdPnll73QkAL+lgA8SWIZR/23PvPYFy6dXzbvefChx/xESwZDQ7ef0Bs4gHcHJgf5fF9yrpVwy5UX+ZUfm+fGXQEr7Qnmlxu0uhVWOgErXY9WR9HqQadrafcS2l1Nt29o9SzzXcF8F2I95LrL+myY1nR7lje9dMiODYZESzxpiWK4++kKJy9W2DiVsPdIBUyN3VsUN1xhCCs9Hj/UY36hztU76jQnl3nwGZ+bLquw2FthebnJhg2WR/Yp/sFrujy6z2PLOp+FbovlpWluuLLHg3s109VJrr60y8VWi0eem6Tq1XnxFZbLtw1Adnn6mGDddMyF+Zh7nvYZxAopQRvLjo0R3/LSiE5XsWnKcMNlEEU1llo1llohK12fdk/R6kraXWj3NO2uptPTtHuGlZ5lqS850xK0BkNuvXyeX/zRZW66POTC0gTtTpV2r0Kn79Ppe3R7ik5f0u4JOj3NMNJc+6Ib436k/u33fdfbDtcb1c8Hvm9eaGy94JnMaNgjifs/cO7ko7+5ePHA9LmzLaYnFL2BQAiBdbcACIMQAiksUoASBiU9Hj24np/7Y4933LrE97xmiZ2bI84vNgmDKtUwoBb61Ksenaqk0feZqHv0BppuX7N+aOgPLZ1ByNJ8hdOnLFFiOHM+IQwtIAiUxZOCXl8h8El6Hi/aIdi1ybJtc4+h7vClRxX7D0/x+htDbrhymQ9+yRKIGjs293jmQcXmScVss0dFVYlin4sdqFc8tqwXPLU/4obLq7zy+gX+9PY+gd/gdTdb/LDH1x+J+OLDdZ47VuWSTTV2bNTMTUXsnI25ZodGKYOnLGCphSFzkyFR7NPpBew95NMdePT6iu5A0u3jSKLnvnunr+n2Le2+ZaUP8z3FhWVLrdnip980z7ffOuS6S+qcW2jQ6lbp9EI6Pef49AaKbl/S6Qv6Q8swtvQGlq/f9Yhfqc/85vr1jyx9y6tv/pedTu9PG43a/70At7oF6B+dP33Xr5w5ctd01OtRrVTQVuBKIASZ0SOkRgqQwiClc0g8ZQmk5JlDczx5sM7Bsxd5+8u6vOyqAZONJkutGvV2hWY/oNvz6KQXuz/w6A09BkPLIDJEsSWOLYl2R5QEWANSCXxPUAkEkw3BVAM2zBq2rO8xO9Xiy4/DvU/6SDPB62/0edHuDvc/FxMNmtz6IkGr3+fiYp1bLjfMTvaoeiGDRDHfjlFG8KLLPWqNIU8cqPCKGyZ46XUdnjigwE5w41UBP/KWJb72VMRXH62z72SFbXOKDdNVpho1JhpQDcH3LEqCsbDvmEBrQZwIogSGMe47DjX9oWEwNPQGht7Q0O1DewjzXcnFDgzNgNdev8RbX9bi+15nSJIm5xfqdHqVVJL4dNPz1xtIegNBb2DpDwz9gaY/1PQGhjMXz/EnH/7y9HzH/rfv/rbbvIWV3h/PTr5wIH/BAN7vLzOM1Y8Ml774K+3zX1rny5h6rYYVBmM11jrLTwiBEG4plgKkFDlzecriK0PVFyz0qnzkzi18/ck2t12zwrtfu8I1O7vMTNZYXKnR6Yf0+n4KbOWOSDCMJXEiSBK31LvaLRdUeh5UAqhVDdONmM3reiR0OXQm5qP3VDh6qs5kWOWmqzxuubbNIwdb3PFQk5svq7BtY48P3ylQIqTZiFnpDjEWlIC5Zo92J8AkVd5620U+8sUauy5UePPNPaJ4kXv2zBDrCi+5ah1vvqnNZVtbfP2JHs+cqvH0sYAt05LppqAWCgLf3YRSgBAWY8EYS5ykN2vsGHYQGQYR9CPoDATLQ8FSB4Q34PorVnj3t6xw21WamWaFlXadlY5j7e7Ap9f36A5UCdiC3tDSH2gGA01vqOkNXbCbWMX58y1+98+/uq4X21/5ie98mV2YX/qT2bnp/zsA/vZ/8l4+9T+gffbDPxhF+j2dhT2zSbRMGNSIkoTECIwBrEBgEZBKE+XALTWeEnjK4ClD4FlCz1L1BMsDxWJrio/dXefhvV1uvW6Fd79uhet3tZjRVZIkpDeo0O379IceUayIE0miJdoITPo3pbCEgaFWSQiDiMAfcmZxyO2PSQ6fDjh2egplQnZtDLhyp+LG3W1UOM+eIw02T9a4+hLYMLfMUrvJNZslibF8+dGQYU8yWU94w0sGfP6emJPnG1xxqc+5lQHPHvXZun6K63bOc/8zHR58VjCMAnbvnGb31pDdWzocObfE4TPw6P4ah47WqXmC0JPUQ0vFBynTDIB1N2uiIUog0oLuUNAeCNoxRCbB2AEvvqzNu7+lzW3XaDZOhwwGEyy2KnS6Id1BQK/v0Rs4SdIbCvoDSX8I/SgF91A79o4sg6GlH1sGsUBbj8X5Fh/46F3rjhw/957mpJfc8v1f+uCDf/ggovbzf38BHl38ZYJ1M7zLW/i+V+ze+9vffdvByVDVMF5IYBIqgcIaQSq8AYUQEiklSgqUUg7cngO57wkCzxD4ltC31ALNZEXQGfost6f4xL1N7nx6wPqpHu96VYvdWwcM+l2u3mnZukExjH20VmgjsRm4pcH3NCcuWI6dF6z0DZ+9v8aZhSls5DNVUWya8di+weOSzXD1rjZGLvC+z9dZWprg5t0eV+9q8fWnBSLxWTclqdcSenGAtBKsRHkBrYHgwpLgKlvjVTd2eOCJKptmA26+epoffssCH/hih0cP1OkOfBZXGuzcVOWKjT1ecnmH73hFh7NLS3z2/pDFXsiJcz5nzgT4SiClRCAw1qINxMaiE8PUTMy1V/UYDmN2bx3yzlcNWTehmG6ExHGFc/MVev2A3tCtcv0U2P2hpD8U9IeCwRC3Egx1ehgH9sikwBcMYhgmAi099p9ucfIzd87+l58Kf/v+39sQU/3QX/zkf/p9/uAX/9HfP4A//shv8F3veZsYXviL7/rMnaf/aM+BA7XA1wTK2V0g0EaCzfDtdLiU7lBSpsydPnsOiIEnCHxDxbdUY0stskxUNFNVQS+SdKI6x07X+bW/mAaTIJKEG6/tsXNDRJKAsQZrXRJHCoFUAs8POHAyYN/hCvWKRyOQzNYEczOSddMem+YU2zdqrti+ghaL/M6nmpw4OcnNl/vs3qHpJx0e2hMyWfWZmbBMNiJqVSeFjJG0BoqlrmWxpWl1q7z86hUe29dj/0nFZLPCS66a5MfeusjvfhqeOFyn27esdDwuLDXZMFtj3dSA7TMD/vV39WjWWjxzDA6ckvi+RSmLEIbsRFoLSQI7NmhuvSZBxz5xEmJtjUHkc34hoD90K9ogUrl860eCwVAyiAT9CIaplh9GhmFkUsnjwO2kj6AXQS8WdBJBK4ZhHFOhx6mTRyb/6x/wR0cv/tPk/b969cdedOl77T/5hz/19wfg/+bX/oL/9old6tbtX33Hn39+4YOnTh+qHD8Xcuhclxsv66ENZHX1Qjh4O71tXUCplNPbnquN9j1B4CuGvmQYGcJIM4wt1dgwjA1RZGkmMIwNwwSiRDCIJUMdEusK+w/XeXo/aGtx0Hba2JcQKFfz0Qjh6o3QrMJEXTLVUMxMeqybhm0bhmycWyG2S/zOpyY4cnSCGy5RXLJFsmvLMnc9m3BhcYIbd0qmmoZK0CeUIVYJEi0R1pLoiOVuhQuLPjfsrvKiyzvc/0SF9VOCWqXBDZcbfvodi/z2pw3Pnmmw0jWsdBTzyx6zk3WmmlWmmhM0azFz9ZjtN0SEfoLvJSilkel5tLibKo4VF+c94kQRJ4ooVgzj9DmSDGPJMJIMIskwEi5AjQTDyDpQx4bhMH2OTKrrYRA7cPdjXDIulizFEEUxRF127+xxxVbNvhPP1W7cqT741COR+akfvOJT3/PqP9RzO3/i7z7AP/HJD7F5zlOP7nvunZ+7t/WnX7m/WzF2O9YMmW8pfvEnWly9peeCJFwaWgiLVE4uKOnhK4uvFL5n8TxJ4At3EXzBMFBEsQN6HFuiRDtXJCkdGhJt0dqgDU5vG3JwCwFKgifB9yH0BJVQUAsl9ZpioiaZmhCsm07YvqFHo77Cpx6IuGfPNCsLTa7dpti+0eeyrQO0WOHLj9ao+x5zU4pGbcCeI/DcUY9rtlp6Q8V1l8Vcu8ty/pxmfjmgP6jxxps63PdMn0NnFPWqJAyaXHOJ4Rd/cJG7n+3z+btnWWxbtq/TLLc8JpuKibpPo+ZTr1oqoSEMDKGn8dJzJ9PWSmtxCSsjSIwk0YIkEcSJJEoEcSwZxs55iWJBFFuiCIaxJspJw7lNgzgLXHEMHgvH3olgJRK0EoiGETLu8qKdK/z7H1rk22+LXc37YE+lNaz9+YP3bv7xy6//4aPLvR+/f6om7P8Ovl5wgJ9ZWZAnFsz3HDqx8vtP77tYqUxM0EsSiAM+d79HNPR452vavOs1XSYaGtkzCGGcUyJ9PGXwfYPnefieIvAd20S+ZBgIoli4ixMr4gSiWDoHISlsv0QbtHbugrapU5KeViFEKoEEnicIPEEYSCqhpF4VNGuWyYZh/fSQuakOiV3hY/dJPvDFGdZVKly7TbBto8+OTYbtG5f51EOWpaUKuzcopprQqMVcOC65uBwS7IRhLJibkExOwqFjluW24fxChct2VHjNjR1uv7fCTAPCIEDJSa7ZJfjxN1/Elxf53P1TPHemwvp2zLrJhIm6olFV1KqSaugRBhD64HnOYXK2agnkuBtbG9BakGhSoEOsLVECcawdKcSGKH0exoY4hmHsSheGsWPuQeLA3U0EK7GgE1v0YMhEpc273rjIu17T5fU3GjrdOoMoZDCs0O4er3Q7jT9rLT6zX6ngOiD+OwvwX/7dz7DU1j/4wBOP/8bTh883ja1SVxaLx0BIjPL48qMeDz1b4dzSEv/kO/pMNWMqYY12V+Mpjedp/Ngn8DRD32MYKwfwlLkd4wjHRCkrJQnEGrR2ToIxLuAyxmY9nCm4HcCVEmnQ6gBSCaFWMTSqCZONhLnJPrNTKzywP+LP76hy4NgkOyZ8dm2ALRsCtqyHK7a16SVtHtnXpKp85qYUkw2YbAyZmkgIAg8h3M3VHwYstWNWepZWN+HicsC2DQ1euvsidzza48CZJrUwxlcBQkywa7Pi+1+3wIuvuMif39Hgkb2TLHY91jUTJmsJtYqkWlGEviD0Jb7vYhWlSO1Dh3KL62E1hhzoiTbp6uZIIU4MiXbgTmKIElscsXNlBolgEItcb7cTGPQTbNJnptbmH3/nEv/6e3vUqx7tTp0oDokTj1h7VEKY0w+j50+tm1j3incvnPiLD8xu/76/ewBfWm7hKfmj/+33PvUrzz63NIOpUA8Mxgg8CT0p6cuAqKFYGfr8xkd99h1Z4W2v6PDK6zusn43odCr0hyFBFBD5PoHvEcbO3otiVysSx5IocctunKSetia1/kiZW2IsBbhdkjJlbvCUS5gEvqUSGKqVhEYlYao5ZONsmwutHu/9rM+XH5tmabnOpXOCbesEm9cFbFkn2LlpgBes8JF7PI6eqnP5eslUQzJR10g55My8JfQkUoC1gij22L6uzaNo2j3FcttyYanK5VsqfMerWnz86wHHL4T4XowQPsbWiRPJjTuX2f69bb78RI8Pf3max4/X2TwlmK1r6hVNJRCEviDwJb4n8BQucJYir8mwuJvMWJzToh3gc5BrJ+ncKgiRdrUuUSIYJs4h6SfQSSTdGPqxQfeGbJlt88obVvi2V3Z504s1vqyyslwhTvz0UCTGuWT1sIkZdGZa7fg9Wy59pxr02n9cqTX/7gB8cWkF3/d++HNfvOdX9j6zd92GpiUxhsS4CrhAW0IpqChBN/HoS0Ur8vnIXRXufqbGDbu7fO/r+nzrzW1mJ4b0BhX6UUDo+8SJxzD2iBMH9CRRxFqSJJJYC5JEorVAG1FobeNS/jYFt0iXbqWc6+ArQ+AbwkBTDRMa1SGzk136cZ+v77F89K4JHtk7yVTgc81my8ZpyfqZgE1zki3rIy7ZvMwzx/t89r45JpTH3ISgWRc0azGtnuaLD1VoBBYhHLD6Q4+33jrkCw+7mphW13Bx2WPLugZvf1mXR/Z32HcooB4mKCkcyE2NQeS0/ve/psXlGy/ykbvbPPjcJCeXq2xoCiYqllpgqHiGwAdPCVTqQjkmh6z8yKRSzZhihUtSoDuCgFgLYp1mRbWgn7ijo2EYGZIool7t8vbXL/O9r2tzwxWa9VMeg0GDdjdwwE6vVaIViVboNOcwjCR2+eA6I+/7le2XvsL0e633V2vf/LFy31SALy2tsLTSBcQPfOHL9/76pz/3tZnWSotGRRJrm55AdwS6AHpfC3rSp+97nG4HnH24zsN7enz8mg7vfG2PN9y6wvREQBQFDOOAKHZAdydPpScvTdjoAuDGpsxtipoyF8SCkmk21DMEviYMYqphRKPaR9Pna09I/uLOSfYem0DEITumLBsnLbOTirnpgA2zkk1zMds2tDk13+EPPl8nGVbZskUw2fBo1qFZixF+RLtfZ7JhXW2NhTiRTIeKxCR04oBOT7PcVpyZr3LVJQ1+4m0rvOcvQ07M1/FUnN4YHklSYRBJNsyE3Hhpm2sv6fLsiTN89K4qdzw+ydlWlXqoaARQ9y2BZ/EVeNKl84UYra4zgDXuptNGoC0kWjj/XAsi7ZJEfS3oa+gnliSJMXHETKXPG1+7wrte2+a2axImqx5xUmOlFRLFgSOgxHMElDgiSrR0QW4iiRPJMGrTe+7OdSB+fdslL006y6f/TAZNat9EoH9TAd7v95mZqn/bfQ889ruf/8LXmt1ui1pVkWjwMmaQlkSBr8HT7jnQlqoS9LSgp0IG2ufisMrnHqlzz7M9XvLVLv/0Oztcua3DuklFs+4RRQFR4pMkBch1BnAjXZePdZLA5gGlq2VRyrpMqJcQBgm+imj3Y+bbMb/1qQrHLk7xxL5JrAmYqQrWzVpmJwQzTcXMpM/6GcmGmYTNcz1mJpf58pOGx5+b5NotgqmGpFGTNGuGejVC+EPC0MNT7u9bC1pL+kOP/iAmMYJO39DpWpbaPucXm9xyRZeXXrXCR75aobqk8KSLw4z1SHRAFLsez9nJCi/e1eXFl3Z59JVnOTEv+fM7Jrm4UuP0YkigJHVfEGQyTNrUrSJrenJSBcfkiRXEBhIjGGoYJBAZCzqBJEaqIZum+ly73V2Pm67UNKseSVKn1XXkkyQeUeyTaFkCuAN1RkJx/lrQH3TY8+RdM5H2f3f7JTcuDwf9z34zMflNA/i504fYsGmD+uhHP3rpM3sPNHXUZqLupZG6ddaULpbAWFk8LUi0JTAQJ1DRlpoSDLSk5zmgL0ZV7ni8yQPPDaiHQ/7hm1psnUnYvqnPLVd38IRrEUNky5/CmrQB2ZaYG4uQFiWcZ25JQCY8e0zy2H6P2x9p8OzJBlFSo+Ep5qqW6bplqmadD970mJ7wmJkUbJhO2DTXZ+PcMvfsHfK+29excdJjrgnNuqJZFzRqCdVwyAMHFYPIw687UFkriBJJxVNcf3mfh/dMusKnvmal7bOwEnJhYYqfePMFTi8s8vBTc/gSEDEGcgANI0m37zHVqDDZrPPSy3u88toe3/vqefafMnzhkQqP7K9y8GidRHgMh4perFAiq+8pB55pTsAaEmOxxuALzUQQUSHmpTd02blxwJbZmHe/YUg1kDSqPsOoRqvj2DpZg7FjrXJgu9io/FqkstJjfqXLcvfB5rFjFy791rd9l9r77AF9zdXfnKaJbwrAL559jpnZqeDk0Ud/aKqhf0PHbSaaQe5HJ9KUwO2A7hmbg93XgkRZAg2hhqq21LVgoGHg+wy0T09X6XQ0v/6RKWwSs35uwFXbBsxMJLzzNX22rYuIY5HqbQkl5ibVn1IahBR84u4qzxypIzyPE2drnLlQo1JVTISCybqlWTE0K9CoCiZqimZDMdXwmJmE2cmE9TMDNq9ro+0Kn7ivSb9b57ItlmZN0ahJGlVDo5Lg+xFffrjCsCfx17lu0Uyi1KuKN76kz71PGrpDSbevafc8Vjoe5xdrXLmzwTtva/PEszVOLDVQ0gBxqpd9Yu3cpEEk6Q48Wt2ARrVGvTrkyi0Dbr5iwKmLLY6fW8HzNU8f9fj4XTWEUg7c4/MHrQEM1lqSSLN9fcK7XtNntqm5Yrtl/QzoxGcYNUgS1w2UxM4ZSfSoDMmBnQb/GbCTtNIxSUQeL0UJ9Ic+5xYXSbwtv/G1ux7uXbJz1wceenRvdMtLrvnbAfCDh0/in7x4+eL8qffueeZRqaRPJfQQQrtkjZKoxKK0KAFboDPQp4VBfqrRQw2JsdS0cP6sEQy1ZGgkkfGJDcx3m9z1jMGi+cwjbmQD1qRHlsVLLbK0IlEIiVSKJPaQxsP3JI0Qds5Z6r6hFhpqIdRCQb0qaVQVzZrHREMy1YSZiYS5qSGb5jpolvmtT1a4f886ds3AVC1l75qkUU2oVSPqtT7Vao1QSZS0eX27MRDHPoO+oD/UdIbKNXP0jWuZqwecvjDBy68a8tPfdYHf/LjHyZUQIQzWxhhtiROfKJYMhq6MtdH3qFcCatUKtbBGJYxpVCNuvCwi8GNuuizh3a/t4akkTQIZlzUui/JU0hkjEUIS+goIGAw9Fpe8tG5H5QFjoiU609baBfs6kSRGlCSJKI6UuZ0pkAaxscuaam14+OFHZeDJ9wZqcF+/P9z7zcDm/zbAP/JXn6TVVdWjew6+48iRQ0IJD89zvrL1pbPiEle/rbTrb/SkY2ytLdo4Rtd5EJpF9CIFvwO71sK9tu53kZEkVqKNR2xCdGp7lR95llKAJ5w96SuoVC0Vz1JRmtCH0INKYKmGgmogqVUltYrnAF4XTDYM082Emckh66a7bFq3yPtuN3z4jvVsnVTMNgzNuqJRU9RrUKtqGtWYc4uGI+dCKoErv4Ws0k8wiDx2bjBsmB3QHgT0BzZlcclKx6NRrdCoTfLu117k6Lnz/NFnN+NJD4tBG01irHOUIkU/ckVRvYqkNvCohj7VUNPquBgj8DW+p/F9jSddo4SULp2fZY5d6YqrCXIgF7RMWmVp0rgmjW+0cbFOFtRnwaNOWTkxIk0kiRGQZ8klx95pkkk7eSqEc6aWLjwnZprROzZt3Xnkrq9/pv/q1/7vNTL/bwN8x6YwaLUWf7bXmf9Za2LphR5SOIvKVQKKtPvGZdcyv9XLsmnG4uk0yNGuzNOl0wvrSpesLOeOpIkbC8aK9Dm7QMXDZfJcYOVJgydJa8jBVwLfs8439gSVUFIJJNVQUa0oGlVJo2aZqGsmGwnTzSGzUz22rV/kkYNDPnL3JqYqIesbhmZNOHBXJfWKoV5JaNSGPHIAnt5f49I5m+reIm3eHypuusJy2bY+j+6dzOuru30vBblPrVKlWpnku1+xxNMHL/Lwvg1gFcZoVw6bWJLY5vUk/aFHbWCpVhSVwBAGPmGgCT3jEmaeKzFWyl0PKV1pMMIiKPRcEZy7EmKTOVIms18lJnWqslJjdy3d86rXWfxlslU7BbguDmMsUkpa7aE8euLif1rpV4MgqP0SEL1gAI+GPTkcDn7h61/+i39poovB7KSXJlTIv7SUFi0ESrmUucqYW1u0clrcJRtECmqRA9zk4M6sLItJM3FZssJamwdKjNlgWao6S+gomWYsFfh50ZbL/oWBohIqqqGgVhU0qpZmTTNRT5hsDJmZ6LNpbpmHD/T5hT9dz8nTk1wya5isQbOqqFcV9QrUK5pqJSbwB7QGFiUVvrJIWXyyDBhxEtCsxvQSQ2/o9ufpDTSdnqRVVdQ6IZWwwY4NMb/4Qy1+/oOSh/atx6Iw1qC1IdEJUWKIYsUgUvRDSXWoqASSMLCEgSL0DL7v/H5PWQdwlRaypTJFCLuqQdekcYybGJYBPcsvFHkGx+jkuQedg1nkK2/G3jojsrw+yK3QJm026fUtpy+cCrb1g3/7Ez/y/X632/sP9Xrtb9zb+TcGeBytYO3wl04dueuf99vHK5NNwSCyJEkGUPdFlBZo6ZhaaQdio60Dc/acHq4gyOagzlnagDUWnZ9wUpbJ5XaJf7IUPHm5rRKk9eTOLstqyX1PEgZuAFAldCMZqqGlXjE0appmLWaiETHd7LNpboWH9/f4+Q/McuDkNNunncPSqErqNenYu2qpVTS1SkysIz701QZSKXxpUaKwCY3Nlm6f73/9Ml95PKIThfRSgHf7ik5X0Qo9KkFI6De5YmvCf/2RRf7jBwQP7l2PsRJtXFo9Tlyh2TAyDCuu3DUMBRVfEAYusxl4Ns/YesoglfPGpbCuUSIDeJHyTEGeOi2mALvJAU4+dUBrka+w2ftJBnpNnlXOnpPs+mtTwoErHRgOLXufO1b55Ofu/hff8e2vEwtL7Z+bnf6bZTr/xgCfP38UrH3pmeNPVCVDKoGPFJZYkVbvuSyaViWgK5ED25Sfc8ZOf7YO0I65s2fh6ijK4F7jc2UAz2owVF5PLtI68qzuROL70tVvBIJK6Gae1EJNverA3axHTDb7zE22eGR/j194/zTPnphly5Rgpl6SJhWPesXVr1QrCdUwwveHnFmcwlcCJU1qyxVBptaSJFFsnHLJk3ZcoT+0rolgoOkMJNWeohL4BH4F35tg95aE//rD8/y7P4GHn1uHNtIBXFviRKdMbhiGhkokGQQql2C+D75H2uonXS5ApiXJAkT6XMZ4hnObyRaTld9mxOPAnK/Y2WprCpIbBXZRE6TTGpgMB0n6+zhxVYvd/pC77nu0etXuHS+V8m++48TfCOB7Hv8y3Z6pHT/whaDXa6E8QWANgrRnMhHEErR0XzwDelbFplXB1BnIcyCXZUj2Oge1/YbghiIlnVUJujY3kaati3pyJ0+g4kMYGKoVSzV0+rlWjWnWIibrfWanWjx+aMB//OMp9pyYY9OkYq5umKgKGhVJraKoVQXVirs5XKo/4uF9gu4goKJIb7K0kbok4eLEo15R3HJ1h0eebdKLnUzpDzW9vqITKsJAEfhBqp8nuXKr4Vd/7CI/84fw4L51xEYSG5M2Sxc9mMNAEgbGsXdam+KnN7c7SGVKIeNkmuVdC+SU4pzsGpSBnq20o5KSvNbFmNFVexzYeUyhnbUMgpWVFn/2l58L/uH3vbn2V5/8Qu9d3/Gt/+cBPn/hBBPTWyb3PvapPzBJ/xVSaDwl3X0uDCJxgFKl4EKpYgkzZaAbMJ5jdZuyuM1YuwTorAow19q4F2VZgnAFRUJmPZwiB7cDOKi0YtD3IPBxnUBBWmAVaqqpvGhUh0w0+kw12jx1eMh//OMpnj6+jg2THnM1w0QV6hVBvaqoVRW1nL01lTChURtwz9MBK60KU1NFmjwDi0n1aawV62YUr31Rl3seM66LJjIlkEsqvqTie/hegOdVkdJw5VbLr/zYRX7mDy0PHlhHbDzitALQlb06Jg9jmVcXBp7E89IiLClQXnZuyD9fdhNmUkVkVWkUCaGMXDJGz8jHjACe0mqcxlK6tEJnMjQDdv7skoJxquFjrel0+6/Y+9yxP/nxH/7Onzxy5PjKrl07/s8CXA9P0rp47meS/sHvsclFAt9HG5MGdAIpJIksV+qlnrfKluZ0OfOyE1EsaXlQY0rgfj7mTpGeZeRy7S2zCrpCd2cVg57C1Wd4Ft93jcWVwFAJNNVKQq0SU68MadQGTE+0eOLgkJ/9w1meOrqedZM+62qaiZpNwZ2yd0VSDR37V8KEWhiRmCGdKEQoiZ8xeK7BU82a1WTEPvVg4MoFogpTGcgHml7gGDwMJL7n4XvZBrSWa3ZY3vOTF/g3v294cP96YuMx1IJIm5TFBZXYEPqWwHe9q14ad3jKlQgrKdPzk3blZ8+lwqz8xizHOpaxWMjm18zkPzupafTo6lyYBzaXLDrNhejcVbG5fj9+apHHnjn2PZfc/fSRKIr/3f9RBr/v8WPsvbh9+1b569fW/YPYCdcBEicyDVYy39uxgwsunYOS2UqZVDEWjCaNyrNlu2CJDOzj9SSF1W0L1i4HlaU+Tk+mFYPSNQH4ygE78GxePVjxdaqbY6qVIVPNHhP1Dg/vS/i5983y5NH1zE14zFU1ExVLIwV3teLsxAzc1VBTCRKa9Yh9xy13P1EnkBJfmTSIKxb9bPmOtSIxHq+6MebSS7ocOVllruY6ZQaR64HsDVIW9hSe57t8gnTe9dXb4Vd/fIF/94eG+56dYxBXGWpJlFhqaQ136ONA7mWrl8l7W6XS+QqnpCgBXJRAXlomV4HcFgAfAXtGTqU6fGML2WIKVh+xhMulHOkxiD3u33MeOfHIte/9he/bbu2BE0L89dP4f22AP7L3NNXazI6DB7/630Pv1Ldtm5jH6Mn0RHgpwDNv1fnfWonUOckY3KbWUuqYeIVuGwd1OZhcxSCOW1IGHwO3sEiV2YLFgCA/Ze7Acx1CoW8Ig4RKkFAJI2qVIdMTPZY7Pe7dC7/6Fxt45vAssym4J6uWRlVQr4jcK3fOi3HsHTiAV8MhkdYM+hUqyt1kUoiRSr4skeICTc9peW/IMG0BKwBuCAJN4Hv4vsRTCiX9HOAIuG6n4Fd/cplf/8uEB/fPcLbVZFCXTGpLI7FU0okDoW9T7z9zUmzO3plUyQCef970Q4v8nBfn36YXpVhZbS5ZTBn4uWxJQV1i9dEgNJUoJgO3K9PtxIIzi31uiU9+24Wzd+v1m17+L6w9fFyIS7+5AH98z3GQizcPVp56x4Ztj1OrzNAf6rwTXgjXsSLTQymZB5SFXypKkXf2OjsxLoEzovVWsfaoKswughv3UG5UTsGdDweyaRe+ScdM6BzcYZCCe7rL/HKfX/lQjc8+NMdCd4q5CclcJQV3xenuWhpYVkNJLbQpgzvtXQkjIOLOpwKW44CZkJF6bMToCqW1a35ohh6vuaHHwwciOnHIRGwYRm5YTzB0teqB5wDuKYuSPkK6BA0Wdm+V/OY/bfOFh/v80vvXc3phiv6kx2QgaCSGWgJh7EYvB8oNNPKzQFOKPAjOnsuBevnGFCLvFRmRKlmnkC2zeP49x0BeCkbLuY6iHt05cJF2zRXDNFa5/6E97H9T9R3rN019iKh7/JvK4J1Oj3q9etnHPvfQP3v4qSO84coG2iikNHhKYz0BIkmH8zhwaWNJZJr1GgN4EXmLUtKmJEkQqSU1DnBbMEr6LIUpxkukq4hKpYknHbA95cDte5rA1wR+QiWICYOYRrWP5/W452nNn3yxye33ryMyTdY1BbMVJ0ucBZj55Co9RMrcZfaO8bwhDzw3SS/y2FizacZwnMGzuEMSJ4qKr3jplX0S4wDejwWDzA2J3Mg138ssTpUC0eaDkSyC2UnB97y6SyM8y/u/2Ofe52Y4H1fpVSTNxFL3rAO5l8YhyqZxiU1BnhKDEGkcU2p3E0WMU7oSI5IlB3iZoDJAl1ZkbcbYvATurGwj0aTbv7j/TinJ8mCGp54+w9WX8s9mt7zxyeGwfygMq//7ALfRIZ544i6azcamKXXklddtTTB6lt7A1SgrZbBWI4QlETYNMiXKWJQSeZYy09rGuBSwNuWkjQM9+XNZkozm1xy47YgsEZk8EoUsUenkq4y5feVqMUI/JghiKn5ErTYgCHr8xR0ev/Zn6zgyP40fVtjQEEyHmmZoqYdQTzvsq6HLdlbShJCrX9HpSuDkyUJb040CAqUIpM0DzOxrWIryAp3WakSJT9UfsGGyz0qvQT8W6VgGFyv4vk5tPpXancoBfCRwdZWP33Zbl5uumudX/3zAh788x1JSpxf61H1J03M1OKEHgSJvhvCypE9KTjKXKkUCKLXxM2GYoztn8jFGL0vMXLZk9qEtDAZd8tDzjKeB2DiQWwuNAELV4Cv3xXjBwVfu2Gk2dTutQw/uOcWt12793wO4MZobb75+R3v+ufd1LzzM1K7Y6WvjJr0iDXjpicg0uLEYbdBWYpQpmDsFus3YuxRAll9n9RDjD1FicJFm3wrd7dLOjsFNibl1CvKEwHOSJAyGhH6f4xcS/ugLdT593wxHL0zRrPlMV2Aq1DRCm6beM3DLFNwyTwpVUu0dBu7GadaHfOoBj0MnqlTS8XJ5uxgFym1pBdNaEiceu7fDW27q8CdfmqFb82imIxrCKI0blMHzpHM/FCWQ+yU2cqvCtlnJz/2DHtfuPM0f3j7N0fMTLCVVer5HXQlqKdADad2Nk7pMqkQSWbAuRLopTCpX3FcoNW6PgdyOyUyzxnORpRalwDNl8EyqGEGSTgLwBUgNR89K/uzz+/jJH9n9vpfe/PI3LS23/6dS5RsCvNPTyFBy9Mi9W0zv4V2bZw7RHUy6L5YN6LGi0N7GIIVCGYNRLpVscomSgVqkd/Jox407KaPAzhoWRGl0hhAFsPO/KwtgO9ckY2+N7yWuc8dLCMMhgTekoyPe+7GA939hA2cWJzGqyvSEYjqwTASGWsrctTx9L9M6lVSapN55Du7AZS+HccSh0yHdKGQqTF2cLOmUuRKlFSqvSYk9mnWPnVsiVDigEzXoB4JqbBlmAPd0mqhRzseWWQnwWsGrYm6ix098W493vOo87/9Cmz/6xAwL/Tp9r0LFU9Q8QVVZwsQ6NpdOqniyKG/IVsVVTF66FtkNm1+zErhXA70ojCuXYWgrUiZPgV3qLtLp/2cYC5Zjj86FJfY8+8SuS7eILbe95Nbj1iYI8fww/oYAN/EJBkzM1arqY2dP3eNv3T5EyC5aq7xjxliJNBJj3LOSBmMU2hhUesKtlTnQC71tcllSBvfqkp8stCz6KTNgC1HW3WmVnNIpg7uxE4EfUwkiAj+iNYh44BnJX9zR5BP3zTDQDYIgYCYQTAaGemCphZZaUIC7EkrCUBKm0sQlhlJnIgV44LvM57FzlnsfrxHFPmHdrgow8/Oaa3BXihrFCt/3eO1NHT7ytS4HTtfpV9y8l6FvCRLwY4MfpbX1UqQyQhbDfSgApI0rX62FHusn+/yb7+5x5bYhH76jwWP7Jpjv1xmoAN/3qHiCqoRQpjZqZq9Km+Y1ynp8tCgrB/uYw5VnO9M3R1ickkRJZau2DuRJCvYoLYuO0vdM6tIYY7A64Yv3POJ/27fc8rGFpeUXLbfb839jBh8ON8mTp56++eDBz0/0lwdM1RM2THeJooDEqHQcg0oZWqKMSgPHlLnHSi1zEGfNwCVwl2cSjjwsINz+aQibBkAua5qVe7oJWBZPaQdwpXM54nkxrW7M/XsFf/qlJnc8McFSq4GsVmhUFZO+pRkYar6lFliqASlrO+auhpJKoKgEgkpAWqFnUnAbQt/pb+UNOXgazrQqLrGS6tvRxElO4GkfZFpyaiRR5LG+Kbhsa589JxN6se/GNMQQRKTTvXQqUbJEDcixzpw8gE9tyFi7+vB3vbbPG16yzNef7PDBLzd5bF+TxU6NlgzoBh6BEgRSEEpcD6e0eMKmTJ5OIRBp2e84wFl9ySgzOBQrdwbwzEnKmNs6SRJbiIwgzm4IY8FqMAkkQ7bOtbls04CHH/ncxGzz22+++srrvpSezv91gEeDM2EUBb//396v608e3M6/+N5T/Jcf7rh7NPGwRqGNxsgM7CZnbJ31RaaTWzPGt8bF/iYHdeluX8XcJQYXGbBtEVRKg0q7U5TUKKkJMjdDxsx3Eu553OOL9zf47L0TXGzXEZUKfsOn6cGE7zp5qj6p7IBqINJDpiWnqe4OBGHG3hnAvYQgSKgEEdbG3PlEyIlzVWanBb40+TxzKcZuW0tefqpTSdEf+mxfL3jtDT0+/VBEN/bpx4KKbwkSx+LD2JZWKZX71Qg5IlPcIfNGBZc19aiGQ9716j7fctMin7mvwxfur3HPMw0utmr0RUA/8PB8hScEvhT4UuILm0oti0SkksuOfqdxoJeup5uoVZInFIFmJk1i6wLKJAtAc42j0yMBHUM84MfftsS/fKfm8JkLdYn6/UOHz1wJ9P+XAT7fMphk8H367AOT3/ayw9z3dMC+Ex5Canw1BJwUkWkBfi5D0meVnmSbMniutxGli5CKDytGAJ7/lNtTJWALkzYPG0QKcM/TBF5MpRIzGGoOnIHjZxUf/eoEX3qsycXlOvgVvKZPTUkavqXhGaq+pepDxXfgrvhuJqErM5WlQ6S/tynITQ7ywHftaUfOGvYcC8H302XellL0o2nBjNnyMlMtSLQb53zNziFXbemy/0yNfkVQSwRhbBkqUmvPpOyduSmZBVloldxnz5oTjEqnD/gMIp9qdcgPvnHIW29Z4SuPd/mrr9U4frbC/jM1opWQJPQYeB5SSZfOJ/17pKXHmTwkC6DtKJuXJMsouEXO3poM5OXkUFrgkgO7DPAEiLlqR0yjofmT25e59pqnaTbq34ijnx/g3XZbxHH005+9a8/kbH2Bl1wZUgs1+OCFMWpoiCOVShSVyg6BseWudpkHPjmwEWlDcOGYZHd6wQiZ5h4dyOlKOo0b/SA1YegmqSZac34RvnqXx5HTVe5+pMqZ5SpHztYhDFE1j4qnqHuWumeci+C7wfkV341rcyDODpkeKgU4qeZOwe1rQt+xt7uxIo7Nw77jNXw5ag/mEoWiHjzXo7l96noak8Tnqu19LlvXY+/RhF7i04gFQw+CdCagKgFcSoGQcoTJofCdizqfrP5cpb2TPkM/oFmN+P7XD7nt2jZnltvc+WjA0VMhX3mixtnFCrrvY6RHHCiQKg2WnbWSOyvl59UYLyTZeFKIDNBZ1F0GdtpbS5I2sBqINEhDbyh45IAltgs0vYdm3/q6f/7P+p3T76k2tqwlAp4f4If2fAVtNBuq57n28oQb/+2Az91Z5Xc/XufqS2I2T2su3ZEQ2AQdy5El0YFd5gAfZexCmmCfR8TlEbvNh9Jnh1IaP9TE2nL0lGDPUcVXH6mx91jAc8eqtIchwygEP0A1fUIlqCmoeYZqyQcOvaxOIyubdXXhYSpLgkARBDK9AWyhvX3tMou+0/mVIMaaiAtLkqEN3fRbafFKNtt4XUd2XbUt+h116ocLPOamI6Qa0I19ep5wTkdcFIx5yoxkIKUowSuLbxA50eisLCDtofS1ysdP9IYBG6Yitq2PufGSIf2ozz881mLv8YCvPlxhz7EKR0+62YI2VGipQEh0/uUkZTG5+lqyRko6aww3JTCbrLMlLVN0fqGHYdeOmM0zCVftijgzL3nfx6aIvQCdRHXkY9+jlHrP/xKD//If3sGh+WX12ssfFddvWWRiSvPxuxQfvaNKa0UxWTFs25pwze6Y19805DXXR4BrbK3WbMrQEoxExymTU8wpKV6PpsacHeiY2ves21lNWuLI7eIlBBw/LfnLO0J6seKp5yocPhWy0A0Y6gC8AJSPaioCKagqqClLReHGmam08Eg51g584ZIeZXD7kiCVJWEAYUDqmriUue8ZAj9JM6Ix1UrExWXNVx9s0OqETE0IPGnykoEMB+OPvNw01+KS4VAxO6N4wy0DvvJYn5OtOn1fOpnigZ9Y/DjzrFOPXWpnF1KedSLzv2GsV/obDuiBVmhPkfiKWHvEse+sVD+mHsTcdk3CS68c8vZXDjh4SvL0Pp9+pPjwV2scO++DkPT6HjpSeduU9SiyQeXrmgO8ZKvkGSGDSCzCGGzK4tWaxvcNAsNrbhjy+puGXL07ZvuWhMmKZaUlefpgyCe+3uDA8YCj84fEf/sXO9Vw4eNJOPvOvx7ABZbF7uR7P3n/xet2zq5wej7kPR9ucG4hACFY6MKxJcuDeywf+6pmbirBWssNl8e863WDtBUJ5iYM118TU6+k0XDK3mKtOx2RD+dp9QRPP+Oz2JZUK/DIPp/P31dhECsGseLc+QAjPGLrY4QPnocIPTwpCZSgIi2VFNihsoTKuhpwL/V8vYK5g6wvMwe3Sns0Rc7egW8IgqxAS+fsHQQxSkXc9aTi0w81UIHn7LYR/f38DF7uXdXpPJHBwOett/b57ANtPnznBN2kQj3V4X6mw+Ms42jzbiEhZA4w96dkSeuXAG7SLnjPMbnvKRLPw0u0A7rSKOUG6U9VEm69IuGWK2KsGPLOV/cYxG6c2+fuC3l0X0A1FCy0FU/vDWj3ZKqSxgVLBuwC7NZCvWK4/vqI2UnthqRqy7te1+f6y2OsgbkpzfRksRpaA7M1zW/8s2U2zlqOnl/hpde0rrtq55XvBdacpr8K4NbOA7PNX//DD1/xBx/x1PmldRgEXaMgKD64wTI0lgsrlgvLbsuMgycsn7+r6arMtGViSnPzdTGNquvDXNsryfCdXhYpWOkqHtsT0G5JpKcYGsnQeo6ZhOc6KKQH0kNKiS+FA7O0hNIQSAeEQEGgihl9DuTFmGS3x4/MG4/L4HYMn5bV+hmD69KREHox1kacWQiIhhXCCUmQpr1VXh9fymJmHT1QcpbImVUbRRT7TDUUW2cjAjGgn4T0E0HVc9V1WQ1JltBSslzeKvO/5f5GFgOZ0hB8kzablMY/JDrNG6h0c6+EONGoOB1hrTRSJmyZNemKYbhy24DI9pCepdUSPLbHY6UnUbliGQ2qxwnUGJcpful1ERNTBpu439SUO3dO0iqMFiSlKWUCy7qm5Rd/ooU2FmETtdheumJR/lhz//F2e/eO0d7NVQA/dXYJ32+/58L8/lef7UR05ZQL+lT5Y6b0I8uFI5bEWlrZciQt7RU4d5cd/ZrltFdZO2bjpxBYITDZlgukNadCglBpUCVRwqWYHajTtLMk3bg1841Lz17aSa9It94jB7dr63LD9cNAEHjkJaaOwVMW9wxBmh31/ZgwjDm1YPjzr9TBC/ClKALMXJ6sUVtd8oizIaEObAqtHcjf/YY+n7mnz3MXGnS1Ty1xm9K6KkBbdOKoLCdQBHv5ec2VgCwVeGWHyWthPE/ha5c/cPXiKk2cuaSZqxtPX4ssHtJ4wiCsYbZm+NaXGzd8KZWZ7lmUXrM65rICtMQkKnXSBDoWJOOGRCluK4/jUwIGUY8DJw68etfu4+8xJvnH/1MG/4XfuRupZHDXQzHSn6QSSDdMPgsMnk9P5QDOPHf3ns5KJezq+3gU5AXAyZdbiZBulp7ElXb6AgJpCYSTAp7EebWKtKYifZ0VEnmU5qBkrF101RcAl7lsCQObt7QFgSkNzknwU/YOvBgpI06cF8y3KwjPI5SMyBMpRu/hUqZ+pIKyrI8TrYgSn5nmkO0b+uw/P6SvPQYaQi3wtcVPUh2eZOl0U9rjSJXuJpFfJjdp1+YFb4U0MnjaoJVEea6J2ZMqLVbTSGXSlcIdmTXr/qZNJ2QZZJRNyrKlbGdmH9q1BUted1S0xZGDmhzc+euSzVwQguCy2QX8/qcDa1crhFUAHy6eRAjBllofP7KsRNBOBH2jSExh84yy8hizj36NNR7jBQ0iX9UcC4l0iU83hxLgCZsmHWxe45G9zt8bA3k2IsJTbnMpzyvmoThwS/ccZEDPgs8U3Fn3j2dyieJ7Tp8GQUxCzBceqHJhvoo/oQjKNRxlB4UxRTpSaSfGgkDFYOgm2L75ZV0eeGZAO6nQ8zyqiSFK0+nlgqis4EwIQ9E5lAWaRTGbsw7TmSqWvFbfM4JECTwt8/1HPWVIUqAXyTSTJ9hkBnJZOF2Z65Wl9FcD3K4hzcUq+OcsXSrdKDtxxqZEEPm0eyHtXh3hLa+JtxGA73niLmq1ystv//J9N9nhEv0BDNO2IgnEoqjwypeMMXz/dR7li+5quotnJUCRBhbZz6ntlr12z1lpLCnIyUchlIGdz0FRjOzSNgLwLODMdLeXyRKb6u3RWvLAjwn8iPMtwxOHq+AFeKk88UoFStn3EmMIdyxUVN0VdRky98Tj2OeGS4fMTPZpLdfoJYqaAj9x30VpNwpPxWWA40Ce/yFZ1NdniTZj89KJrNLTNwKtJFoZtBIkSqZWZFG8lpVDZMBWyuYsng82LSXkRBncI89lsIg1MZMDfiTDXQJ4WmsTa4/uIOTYmYBe0rxp15Uvffnnbn/F/W97y+vXBvhkvYVUvW+99drO9YuLHZ4+USXS7gIFErysU6OE5bX4+nnc7fx3GcBl6WfFKDCkGP05A7aU5FF19p6Xt6gVwFbSyRKVd68UwM6abx17p5rbI9fbmSXoGLsAt59XJ8YIYm6/L+SBvQ1k6BFI4eZv5xWE5Xr1ch11ca7y0Wg5i7tAUxtFf+Bzy9V93nJbhz+6vUGkQ7paUtGWYVK6qUVJpkiZsnj5Tz0fk4PxZD5wKQO3VhKljGN0KdPREgW4nTxJd8FLSyaK4rfR13k+o8Tc5crQ58PHyL/IRUIG+qLsw1OGajDgsQOWi/34+sr6wbdGUXx/+T/PAf7swbN01eQbuvN/9Q+UeIxD8x5HlitUlMyXXiXGikaepwZhfCeB/J+OMXd2IVzKdzT9W5TDFh36ZUZ3W5CQs7mXddAr93qExdNuGF+NgtuNUxhj7rRnM0jb23wvazhISkdMRMxf3dlE2xCVZy/LAWbR15g5GyMaPGPxrC46m/enM23pIfB512t6fOgLQ1ZMTF9X6GuBn5CzuJQWmYi86MzZheO1R7JkTYoSyAXaSzvgVQpyz6KMkytaGbdKSJmCWxZ9tzpj8wLQ+SoivwGLr4Eb995fc/kv/Te+l7BxrsPluzT3fVnzZrH9H/zEu99y9w+/89RXgurWUYBvW9dGSHEp1bO7fvvPFvjMvTvoaOdUQFpsMwbckdrgtT5EdkOIjEfGQF6SJqIEcFFiwZzBRZE4kaJg7GzmoGtTE7kWz0YjjAy7SYHtKVE4Kbkd6DruXWOyTZm7CDC9EnuHfsQThyWHzlawykdJSSBNKqPKK0/xZVfVaoxo8HILXxFAxYnPrk0xV13S5aGDVWIV0E8EFQm+tniJQIms0UMgk1SHIxEYRv+kKLG4KEmjrAEhc1dcvYtWDuhK2FSmyJL+zv6mHOmmEmmBWQFuSzZfpdDlq1zE/N9nn3OkMmnVzVAU2wlhqISa73ltm8NHuzz+dGfX614VXbqyknxlFYN73hkqlRUefLrHJ+6dYnkwQViVeSWZlwUz5a4asfozrPrw4+xdupPLNRqyBOgM9NncvPIoiEymKCFc93wG9rTTJWdyWYxpK7b/Tpm7NPzHdduTAzvPVubMrQk8l9hxXUExlpiP31ljcbGKCD3nu5dWllU1KOWTUbIIjRll1RFv2iji2GN2WvJdr+3wxOEmQ12hpwKq2mnxrJxVSVJwZ2uFST3xrNzJsThjetw1AWc3WLmzxrUceukKoYwtJZZkwdylCbUy8+FLzSjl+v0CyOSgp4SHtUiz/Pvy/0MKi8BghGvanqiHvO2VHR4+Oc8Tz10kirr5f58D/L/8j09RDSV3PtzlsYObqVQDGh5Upc2r41ZrymJ5Gf15FPjlG6EM6tWvi/ppWbLaRl8X05jkGHuXJ8g6FpcobxTggZcOAPKzrQPTDKdn8fNUvElf65HDU65z57kT8LE7GgxlgJIqzV6O3ojjGcw1bTJKLF5yU0zK4In2CLXHd71+wJ9+qcczR6vEyqcnJYE2qXskkNqWzplFSJG7GO5h0r812kVVZnJtwMstRAdunZYEKG3zYZ15I4QsmDtj9awBpdwYUQb5KoBnNnkG8jKuyl1c2X9TkkJZy/UwghbwkisN9ebjPHPkHIGvRwG+//AZrti1qfY9/+z3d+47dZjpxpCqZwlLZZ+FZLCrWbn0mrHXZa098m/HAD1y84wEm+mcjpIOL49DliXGzmVKaQ6hyhg8TfKMgDtL3/tZY7JJtwvPwJ31dCbpEaP8iENnPDpRAMpL5YkdK49dffOOuCglPWzHvfDUISh8Xo+6L7hi84BnDkVoE9I3ARXtara9VIMr4Wb6ucRSRjiGQhya/IrkGc60HsbLB5u695RxcyU9Q9pB5Ppss4ZkNQLuAvAFwF1jSnF912DwkRa4UTYfIcmRDqLibxgj0FLmuYPB0GPrdMil2zfsXHfZz9W+750/0wtr2xzAT5w6x9LyyutftGvmZ555ag9TtWLMgZROlrgPXGwNPc7KI3faquUlXSTF2I2RaXM5ujKUQT3C4Jk0kWUmT8e0ZTXSqgTq/HWa5FGkXrgDtwNwMRTIL8uTMnurtK8ziFjqGP7HJxss9iuI0HfyRNqRVaUYnPONHaW8fNSkYzLKbkqauk8Sj2bN46e+o8PXn2iyOAyIpEdfSoK0hzIb+ZDbhZmOFc42zMpoLSYFt8Eix5wVkTK4zWc5ZmBXUqQM7iSRHgd4Bm5pc6zIVH/LcRbP2HkEC5njknlN5d+Xu/qzONCmjlEqV2IPbIjFMlvb+jMrC8/eb5LeZ3IG37v3OSqVgPNnTzAZxggVuIE8ZRYekxUFI5c0+ZoAH2OzEQZfi7nFiETJfp8BOeuQyYEtBVIV48dUCdSelHipJPFygGea2+RBpe+ZHNy+l9VfjLK3r2KCIOKjd/o8e6QK0kdKSSgLz37c2sy+4PNWE5bYPN+poiRTMq83SXyu2dXj225r86dfqmC8kL4MCKXIkz5KCmKRjUBezeSizOQjfbBFTYxRoKxbFYwVDtyZBWtA5+wt8nhDlDR4HmyOuCkpQZYBWwL7OJALvNgSTkorQI6bAnc2jV96fU3PXGCisw+jo0KibFlXoVoJWbjgM1GDxKZ7vJcaEspBwVoAHmfwtYBc/D49+RmYM6Dn2jW1vTJpkrM2CCnygfZrA1wWAM8TPRnArZuTnUoRXxVuiV8aDlRobsfevuemVi23DJ+7q8FCK4RK6p6IzB58fomCGKufLJXlrLLtMssw2xNHK+LEY6qpeNure3z2gQGL3ZBIefS1TO1Jkbo3orBbZXadCh1ubdH1Y3I2LzrevcxZUelrmf6cjr927O3ArWWmw7NrlWl/ip9F8bMYufHGJUoB3lyTr3UDrApO0++SbijQ6ioGskbiNdB66AC+tLiXqempHffd/9hPnzx7Bku6aWnOMmuI/bWAvCa4xar3i+BLrPo5T5BIkBTDIMvMnY1ELs/+Lne4uOHujII729kgY25VYu5VDJ6NmyhGTnjKZS6PHRccPFHBECKklzfnFtWDoxOhRjpdRAG3jLkLJhcleSJyJyNvN9MeWI/d2yN2bRywuL+K1YFjce1kiicKF6cAULnQKxXcWRktpM0FohR8gpHFrO+R2CYFukznvpdzE9l1ySceSFEKNgvnAwrAk1//DPzl6V82Lzko2FwUN0nBuzlJaOO6sZbbJ/Cmdv701kte9tTDzxw47h07K5nqmQ0HT4k3PPHcIpO1EIH7cmulUcdlR/bBsjugDOT8342x/rgcKQM9G308Ms43Z/FRYOfPinQUcNkHLx/pltaqDO4SyNP96v20NDRjb5X+7HkxSsV84aEGhxaqEBTyxC9Zl+Xvlscr30CEjw4ZHU1F6zEtHkUel8xGvPmWHo8+VwPjk2inxX2dDvnUo1IpXyWzZERuG8p01Joogs3stUxfy3RVkdnhBqhKY3PQa1mSj8bmMZMw2bW1petsR262snM2utrZEUyJsjYfi+ly0KXn0PNgzjvHzg3RG+am+hviWnzc83DzTGqeYqqqHLALvh75/4jyb8ZYewT0awST7nk0+MqZvKS1s7JPWQL7+G4NuQ5XmYtSGuaegVqCyvZqV8X+NCPA9ooBQfmIN8+kIE+cPFEx1VrEQwcUn7mrTn8QQM3DkwJfjEqT8QBzPF+wCuCM6e8xy7Dsi8eJx0TD4+2vGvClB3o8ciDA1n36OsQX5DeaKksAkTkYGbgLkJcLnFzwmd5gyrG5lk6PZwDXsgg43c82vz7567HYKZOamUzLWZ3yZ8zAa/OVbly6jBBr6b1xfBoNvX6NaFhBGIXVHl4Sx8RxjNF6rKZ49cVZU2uPvVd8iNE66NWedxFMloGeLe/ZZ1Hp8leWKNnhAJ4md2QpIFKMDJf0vGKEspduwuSpUaD7OVu7Q6XOSRBExJHmSw/WeO5kDXwfIRWBIN9cqhxcijKTl2hixFEps3ba3WJLmUxjs1kyMvfEtfaIIo8rtyW88WVdnj5eZZgEaOnTN4pAM/ZZRAEOVoPcjnwOQGU3m8EokU5FACsFVrnS/0y65LGPBGktwmQzWtzr4jqWBo+KUQduFR5E4fyMYkysYu5i04PVSUe3AmqSJCZJErzf+pPP4/mK5aU2/UhSr6QaWJYuyvOAeXTpKC8z4zJFrPmFsiVcjgE8Z+60oTbXeCPSpGQVZoydA7wEbjU6H9wxts2Z2sufi9d+Glx6KiYMIvaeEHzlgRq9fgB1HymyykFK9uAaWcxyHFJaFbNaFIcwMTJ6eFXCp1SAFcU+jUbEG28d8tl7Bjx9NAQvYGgkg7SsQhlQOtO96WfQpEGacHMacrCP3nCeopAu0rF5tqpkmtvKFOymWLGktE6fl6zdHOSmrMPF2uAeAbMdIcUCb2INQJdkUBroT00YBsv3c6r/FNZovGcOX8Qi8GxCU6WuhRqtiCsL/v+ZRMkBnf1uXI6M37VrsHahxcsSReTpeSmKbGaZtd10qwzwjq1VPh98DNzp4Zfqn509mLgj7dpJrOb2+6vcu7cKFQ+ka2j2szR5GdSMHeUf1pIoJQbNbbu8qdw5KtrIEaAPBz6vvKbHm1/e49kTFZLExwpFX3j4mvwzCV3SviO31momL49zUKqwDI016c8CaYTT4WW/P2NzK1LdnbH2WAw1cs1LQXAZD89HjmNYW0WkqfRRNktpSUI1T82/6Grdd80qhBTEkWE4JN9Txm1pMSZTystudgetxfAlzc34FyxF9qMnoAxwUbBDBnRVMHuRpi8dqgB3tqtDfnjFJqgZoP0SqDPnxDkm7lmpmMCPeeq45GN3NoAApI8QCj9P7tiiCE2Mak9RuiJZPWEBLIqaFMaKrsoltNq17rkptCpP31vr8a7X9PnqgwMeO+ImCcRG0dMir5uXgjSFL/L1ooSR/LNYa508GQE6KEbZXEqJKtmZOchLbJ4TU2r1SW1zyTbC3mMOz4hHXnZTyrJOsCaxZufdyKzGXnFhsYbyfKy1ePWKW+ojCdK66js59qHyv1FmojHmXmtLkTKbl1eCQv5kS1pRWirLAB/R3YVbMQJule3mUGx6pdIjY/EM3COsXXrOGmszqaJUgu8nxDrh7keq7DlcBd8H6YLLQNjS5NgSg2c37BoafBxaIx1/iJKrwagWT1vZjEodFe0xjHyu3jXglTc7Fu9rx+JDETAw4OksoEvrVCj0eNEr6T5AeWuYEevSglSl19Y4qWJF3hQsbcHiIpcs5GwuhSDNx6Q++RokV9LXud5exeKWcUItM3nG4tpAnCi09VDKcwD3PDcZyXoSE7gESTEOzI6guribxMjPI15l+kb5A5Y1drGslILRXL+V5EkO8tH6k3JVYQ7sjLVlNvmprL9L4C4Nxc/dk7IdmMkT5aoGD50TfPBLDYaxDzU/lSeM1MfnuwRnFyu/aGOaZZU+GQV6WaaUp/Aau5YW96iHkh94Y4/b761z4Iy7+bRR9LRyVYZa5PMEERah07EcenQlyYpUywyubCpXrAswrXX2YBbcW+mALk2KFZteI1OsYjmJ2azGX5T0eFmmpLBdQ5oUYB/D4CqiTV2cdMWSbsMh9x1+49f/3/WB7/23U6dO7na74UrXCZMdosgSjrgZomzZjT6X/71zOmThfEhZ+p0sjQOWRSay7IooKG8FqNKRCX6mtbOA0rMjjkk2AaoMbl9ZPD/LWhbFVEVDQ5w+R2gZ8aefr/Ghr0xCGIKqoJRHTVmqyqbjKMgbnP1Sa1yRSS0nomRxTrOgeGwlkqWMaHbTCkna+Fv0QippEdawdUPEmQXJ43sCknTqgEmbjrPygZEYqAQkm/HhiOMmSnedyNl8vM92RM6MSRuDKN4rHeVtTIotTkannplSbYzleYbnZ9nW0uEm9LpDG+dMXXbF9RuuvvbWr3lnzp6aHA67b/KUplrxc9VY3nMFa0fPA6PLxWodXl6CytJlfJu6soVUJHXGS2ULn9mOyBOZBpVSFpJElbS3yvfosTnQfbVakpSflYrxvZiDZyUf+XoNN3/FsbfT3gU4sw6j/PPCiDQpxx75D7ksGQOHKdeGFHMFbTqhV2eDTbVCq1SLa4/vfm2PT99dY99pH2SEFZKh9ulRkgkChE6voC43FNhyO3AK5NHgU9myTCkdInvt2NMYkQeeVoIZy2+s9brM0oWFuDau1lgAR2rr83tQCPqDmMXl7pusODvpVX1Do2KZmfDxPH9kz/hiE9ZsUGYZ5uVsU3n5GHdQxsE8Cur89Zi9NN7oIMsVe6K0p0wJ2FlwmYFcZQxekiUqfa2UQXmpPPESlEyc9lYJWiV8/v46+w4V2lsI6RIqeQfN2hetuJnHYpPxi5O/LhqQKTHbaMLHdb6Xp/eaVKpceemQt768y5GPhERagfDQwmMgROqq2LT3NZUoOTXZsU8jUsC4662sszAdubnPmIFbWbDCFin+VG5YKzCpVCnbhRnYpQCzBsCFcNNmRwJOWIWvEYA/D6trA3FsuTCfEJsh3syURCFZmnEnchgJonTPcK1tumzYPBgaW9AKwb9KS5UTPaNBhUxvgjyYlaNAGQW4HXNOsn5Mm7P4KmCP/FwElJnWzrc4kQYvnSueDc73/Zij5xS/96kmA+nAjfBKXfPpClKqoBvVlaOB0PM9RrdJLFZMM5KyL2vwdG6KchsNaOORaJ9QJ/zjd3T55N01jpz1QMYgPWLj0xcCpUv2XRZs5h/QjnygfEpCuePfChTuXBfSInNQjNPiaaGVY3brAG2KYrlxoK/pha+pBNYG9zjAE+322oxiQxRrur2YpXaCCgze3GRERUb01sWs9BTtroRBxjrpPpa2WBJGAJ7faqUImNELveq1fP4la4SxM3CLgsFd3QNppzfpkMuCxQuwmwLcKZBzUI/43ak8ke5n34toR4Y/+myTMxdDUE6eCCkLa7DkmuSvxy9ULlNWjxVe80LlFyxrPBjdZtGxVMHeeTOEVOjEY/PckB/7tg6/+sGAVuxGHVshGRrlbENdMg20oKCqMZCPOCyALKSpta6K0CKwwqaOivOfTSpXrEgLslIHxwiLTFl99fUeTf6N28kjDL7GEphp9Gwj2Tg2DIYJnb7m4mLC+mWDCAxeWOlgdIu56RWU8hgMAyIF0qTMTbq139hqJkp/ec27rwRqKdYAwBhjjwK8PNSmSBxkwC7KU10rVVb0r3Jg2xFAZ3IklyhKp/82SZnbZS29MOYTt4e87+NNhsZ38kQopJAEgtVNxWuk5QtZVnrzeSBenp9UWIVlfV6MSChnN/MUvnFbgVe8hJ94Z5eDJwLe/3mnxUGhhWRgXO+m1NkKWy7Ayi6WLf3NQpI6DW5TSzB9NjbNSZS0ecruZUBn5yiTL1l9+rg2L6/4z5dPKduCJYyP7aLsVMdS23CunbAjSqgnGu8LjwSsrCiipYTdWzVx4nYcLjOuWmOO9wh7l7XmWkvPGktSGSDlEs+8pnpEa5dlis07vaUs9LcsyZJxcBcWYdkWTErPLmu5tAyf/HqN5WEGbgdwX6bj4bIVRNo1bsqitn3VBRGjF2ZUnhSr40hVn8laymR6Ac1onbhM90QyHon2mAg073hdj0/fX2Oxo5xUMYoYj14e3KeygaxCr8RY43KlBHKZWobYNCWPsyCtLFacHNA2kyNrWIasDXaEGGtmL7A0km8ZA3iZJIRIx4T4ittuiHjjy4fMzUR4MqmR9JscPzWDsiEiNcyzZgd3l5WXsdVgZg1Qw2pgryVNil6+EuhLDK7SBEHe1S3smKVWgLoINEvgViaVIMUubF5Zj6fs7dcSbr+rwiN7qphMe8u051Jk8mT1cKK1HIERT/wbknjKnrkPXgBmtDm4YHOXwpcoW/jiifbxTMJLr4l4y0t6/PkXAlARCIkVgsh49IUo5s+s9XFsCeTSDWLKA88s+IS0CMuh2Nj0fFgnW7IS2+za2kx72wzUayTCUnwZxuO2MRelhLtRZ8V9Bt9zVvRlW2DL3AR11cC3NbyXX6PptA17K5YT5y2x1i7ZU3Y9pBi5UPlzibGeD+hrMXc5MTLC5HnBkh2VJxmbq/L4grJUMXn2UmWauyxPso2blE5/l0oT6dyT0I85clLywdsbnO8Ebr9r6Qa9K0GxY8MasmpEmojiPK3F3qswBWvaXSPNyKVg04503bv9c9yz2/5kfV3zg2/pcv+ekCMXJIgYUBgkQ+H22pHa/T1BkcYv33CZTHLs6ECryt62dDLEPTtL0KbPGbiNHJMnNiuKsliRySTSoLckacdKZsuxnfs5vVHS85Vbz6lk8pQg1poHnrFcjBTr1ym8RHTo6Bb7zrU4cUqxedpteup7Ki9HLV/QcRlSZurx+gBYDei1GFyWgZ8X0ZebWnEJDlFibmVXsXgxT8+M6O2yY+KpBCU1XmoLBkHMUBv+4KNN7n2i6qrmpUc2qtnPtXdhURbL/Wpfl/K5EGXorLHEjmQwiyrDsqOSeeFFjYpM531nG+wqtDYk0kMlHq+8MeLH39XmF/4gYJhIl4EykkT49HGJOwGllXkU5Lb0s8o73GxePksK8ryUNtfezh2z0joAisISLJ8jkxIalCzDVat9mhUXjGXIy/gqVIRMv2atApvXDbByAa/aRns1vC8/HHD6fIUHHgvYNmNIdBpUlsH4PL2G5Qu6+kOuBrYc+xLFzbP6dXnv+WLIDAWLi5I8STN9q8AtTS5HVJrMkaWflUzwg4Q7H/P59L01hpEPVS/X3p5w88e9ku7+RiWx2esyoMvu0jh9l2P3fAb2CLjBKkbZ2xYbV0mjUNakg3pcB361lvCOV/a5494+X31MgYqd5hCSBI/eiDTIwLwGk1MEvArne6uc5VPGxuYNFjYHfvpzbp86+VI4JzbPJ61a7ctkudbr0ntWpHFPWnIspctmB57itTd6rNscU60N8Wqex4TvsbHpMd0U+SyRclHT8wJ81Xs2Z+2yhCmKbMaGB5UYe1yWiFXgLs/+yyaelvS3tKOyJB/grvPXMmVuLwV34MesdC2331/jwLmKkybClcTm7J3GAXntSfb5VwXI6fcZAfQ30CcZuC1FQqUsUcgSLGJV4scFmya3DKVQaK2R0iMeely+IeYtt3V5ZF9AK0rTr8btkxQLxYCCHfMRE2uAPIu9LNmuC2mNSsrcMk34SInbtMAWxORkuqsVt7nUsDmLl7v+y1Wr4zI4Wy3XcuVckZZEi9QqTGChFZAkkzSmJlCqgTfTlJhIsnFG0ah7hIHK5/dlU1rHAZ7/gRJon8+4X1ue2AIkjAJ6lMVNweIlkI9Kk6I+I5cosgx0m2rvUkJHuk55g+bPvlDlfZ9qYEUmTRx7O+2djmTLVjHJ88uT9IqMPj8PxkuypGDwUS+8vNmYkawGuM023pUY6QJOZQyx9pHK8BNv73H4rM/7Pu0RJynIU1kzFNLNHaQAOWPOSiZBMguRtNkBk0oWUTRC2JThHbBdP2emv00G9BEWJ21CTs+dLcDvMJN+HlGUxZSxlwWv7py5HlMhBGLgCKHXC6hNBwxMgNeoSqK6YnYqIAz8tFCItMZjNPmyCrDPJ1FKIwFGgC4LRi9AXrbcxoPL8rwNW2LsYqRveYb1qETJspNOe0tZuCZKxvhBzOHzkk/fXafb9aHqEiRuP8hSWn68LS0DOYywzvhrKAVH/1MGL4G+JFlGtl80KZPLcSaXBci1REo307BRT3j7q3p86b4qh8+lS7HzUdBC0B+JCrLSq7WZXKWri7Ip0NNFR4qSnSgzazCVWDmQyYNLUaq8tCm6yyt7UUc/TpoF4E0JK8Y6V8ZY4/by0YJh7OroZ1pOJnnrZit4MmBhShb6cbztKAVZod2eLzAoF82kTLdKzpSmIK0B7AL85eGO5eDSpPrblALNQpbk4M633Sj0d7bdt+clDGPDHQ/X+fqTVTccvMTeUrj9tvL526WZI2vq75Iko/z6r/nI2TwD+vhBweCj3fdFKa00Ei0UShuMUCRDj9ddH/G6l/Y59UWfoXE6PBXPJHgMheu9FBZEGnhl0mgk+SNcuj77WWXuiUhrUqDQ3qLIZjq2zd53wWd2zswqIhQjagCKczveqpYD3RRWbSIFMt3IajhM6PQllbqHt337phVP9r80P+N/+2Bg0PluVmMMPaaP8t65VWBPgc5qUGdgLt/Z48AuZoIXk0tXSxQzCvbyPjJKk20YWwST7pDKderIIOGexwJ+7QMTaONBoArtLWQ+jq1sDRafe9S3L7M3Y6+fV6KUkV2WLDnYswKsgq2ttCWZ4uamSGlGmTyVKsK4YUFBoPnZH2pz4LTHPY+6en+ybQeEJDYq3eR9vOOoADupPCEtQyUFtyTV5aKQKC6gpHBRZHG+MqCLtYBdZvGMscvALr2/auJV7rA4NtDGoo1A+dUvrd+4eUW94iWbut32/BEl7Y9bm4yMH1aqlD0cL3iS2Qi10W1Fis6bkoed+9gldyStd5aqlMQpuyTZ9iSlDp0smPSkLTF2icFzSVJyTkoJHTdjMOb0kuDXPjjB/U/W0z7LAJRrSfOkoCqhIl1fpy/T0ROlMtnRWu5yR3+pHr48bUvKfPpW3jAtRiVgea6hKrlGeUHXuKyT4yttNvSyGKWGhdmZhNCzPPJMwEo/i/ZTkCPzKeKjdTOiBHtRUiwlWVMuUR0TNcW+OsXNm69UufwqJFrZIs13EClleG0+as6me9qXqwhTUGs3jW0YG5QKOXd+4Qefevq5A55KdwVQ0o0Qtpi8gnCNTatKy4fN75xVEXB2gnMmt2syebkbJpckIzp83EUxYyxe3lpjHNzZe2kprHS13jrQfPCzTT5zZx1byZjbuSdCFEVVcqywaq2gcnTOi8hBsvqkjRJ5nuApv5cK26KSr9xtX7S0FV64zTW5zd9La1SEQhqDEB6yr3nHq/s8d9TnPX/sEYVJCeBg8Ylc38+aTD4ebFqRJn6EzXcFNFk9iihpc5mqelsweu6WpHLXZOdNjL4/ogpyjBUnUYydvczdsRZ0OuoZY7HG4hlTrLOB76aOGpOdTFaDvHSx1tJHubVTDhRyO6i8vBegL+TK84A83YMmK64qb4qk0j0b893AlC72dSw9eypBKs3XHw35wBcbDLRX2ILCA+E2Mc1qTsqFVSOfkdHY5HmPVerk+bRKIUfKZapluzAvuCoHnLI06k0IZCpRTP6sMMKgjUfoG37ozV0efDrgq0/WsRnAnWGNsYJh2hkvMobNbEpp08nLTodnhK5E6paYwha0qcS3FPrYptIiky6i/DwuTWwWUJadKUaIdCQupsT2xpUEaG0JcCuiAbxqJXGiXydopd32cro0/b+0zJT/wMidRhFkFtqqXLBl0+zZ+Ly6AtjlrTBW7R5QYvBiKzs7qrkzFpclSzDT3jJBeTG9oeCX/mSCo2dCrK9AqFVZS18UvndWEqvWAm/5u1MGtChj9xsKcmvHl/biXGfloKNMXhwj3fc2K8iSGJGxuEQIhTAeMtJcsjnhP/xIiwf/bUhnIItILf3kBsUwj+BGtTjS5h1H5FnMLAFU1KHYbMeKlK0zO0/Y1AsXYvT8rXlOxwizZLmOAzwDt7E2b3ZIEhB9Q2y0Y/AN6xsI4ZHELbrtFoMoIIoliRb5NKM1+tXGPkRZsowGoaIUlFECtaCw/8rOiRgBuVklT7L3M39bjrsl40GmdL2WiYbf/USDJ/dXCs87O9KaE1/YUjtaYQ+OBJVjAffoURQVFbi2o1dlnMnLnnj+WuRoXz23MLUKjcCIlM2Fe+1+V2bxtMVNeEhjuWF3zE99Z4v//tFJIp196ALsWiqGGlKTexTkOYhFvtVjngCS6TwXYYtSWVuk5YvEz2ggWfa2C0UwrhLW3rgqO3cGd2MlBuLE0ukb6pMNJqaaxInGu+r6N+L5DVoLT3Dkuc+R6Jm8ycGk+mnNhbV8V5UADeXs03jEPLbkZwDP31vN2m7r6EJ353JFmRK4C5tQ5sxdtKGpiuarD4e8/+MNWn3fZXDE89WclLT3qkBuTH+vwvj4VVhDl9uRp1XvjQ4CGk8AFWl7m2lvIwuHJSutFQqjLUbYNBmk0ImhWTH86Du7PP5syB0PKaiJomhECjDkIBdK5NYhOB/bw93Emavi3s+Y3LF5Nvg+T8aUgF6WJtIWbohBrGLyccZ+Pts1w6k2kGjBfFvz9nfcxGtvu46llQ7eIK7hU6M7qLnBkulDynSNFKNhR3YpVtcIFJkpxkCd/ZtiNsZqYItxcKdsrkogL5i8vPtuKaDM0vJpYkfJBOkl7D/u8Xsfa3J40U/3vXfAdscYe5dkyaoAk+fX3+VVLTsRa16TjBTHrMHclUjLVsugdjq8kCtFh3q6eZUViHSrbpvOL8mtQ+GCTiEtMjbsmk74x9/V4fh5j0NnBNZLWTwLnqxAI3Mmt8ZpcT9L28v0PeG0ukxL+wpbUJTmxdg06MwYvDiKasCyLBmbi8LznNsxbjD57iyWamCZqiumGwFoHw9rQFi0ien2E6LEKzSzHOWaPMs0zuLZ+2Wwl0CNGA0qy85JwdyULC7zPExuRhI9WXApc62d6u1MmoQJ51uCX/rjJp++s4b1Swmd3DkRJe09OsByZL7fSNBcurlLOjFfXscvRiHQV7P32HujaftU18pSIJodqf6WNh2FnEsXt7WHERZtUh0uwGhLgocvDe94dZ/WUPIzv6m4sCIgTFKEZuzmkaBS2SGKVL3JnJRCl8s0gJRpAG5F4ZNb0tLW8XKN7D4uEQflczwC6BLo11B42UMJqIWSblWgvELGeottxYQMzh89XfnKkXPb3jBd79OoOX08ElCWP0TpQrqXYwFmxvBlUDMqUcosXg4yhSiqBUWut0f3SFdlsMuSNEl1t5QxnhcTYfj8A3W+9mjN6W6V2oJC5s8qBbcbIm+fl7XzpZWx90qrGGsA+xtmNMfT9GPZy/EaFWPSwibjUuGFTHEaPJsfKGw2xkFirHKFWVIirUQnHsqzvP4lA9768h4f+qIkSoTb6yNDaCpZtJEM0/oTKFyTjL29TJeTWofZ78qMTpbkKSX4KEmYVUqAMQItqYXyOS6dWEekEHqG1920jiu2+l9ZPxOcD5RC/c5v/y7f+x23rdQr3spUI/4+knP4niwuYGlGiSpZd0UgZkeTO2vVkeTNCWWHhGJjo/x1Zv1ldSdZOr5Ud5KBfI10fJGKj9HS8Nl7q/yXP5zg2PmwaGKQxbOQglBCJR1k75c+p6eK5NZokitN6Iisux7y0XJSUmyUNTYsSQqkkKvre0aarIukWDEjfbRmvvzflMmjXPowckOWVswsCLbGMt1MuPLShFMXFIdOeBib3r1jnq/FpdVHqC6XrcXSlNWWjM4dJ9e2zvLMVp/R+3vkBqc06IfR53JMQvZc+retbsLmzTup1qb+1ZPPHH34Na96pYsbPH8epUI8/yLN+gqCaXrDtPo319DjvrbNdXf5hhoNNu3o/6N0MVbJlFyeWLdjbskxcaztXovcDixr8CQPLKVM8ALNqXnF+z9V58CREOqZ3s4YXK1i78zzVmuy9HiZb7miUoytZquZewQGtgSIVWReqgVJr2Ke9MkSLXmAWdLppDXi1rG3LFceSomwyrWNGQ8tLAJFPDTs3hXzQ9/R4dG9AccvlpatlLEd4L2cyQvJ4oLOzCO3Iu24N5mMd9nYjKGtGY9fRN794/7MuDW4OsAU49fE5vcgAP2hoD1MaMUdFnttBoPSJlQtewM1v8YTxy2Lp05x826ZLnHl2R8FIDPQji4b5Q9ZBJxrbQi6VoApyoAekSum9F6mt8vg1vn7Urqxx0ttyW9/qMndT1bSKkGvALbMak6ca5KNQc6tyRJjZktfUc8+KkdGT/6YXzvy4vkVSs5EBZpHmaqc9LGud1HmAebotidS2lSuFDrcGIMQLnB0N6pCp+Ske5ZXXz/kn767zX/9kwmWexkzUWjyMshTfW1NBm6HNJW+5wjClhyVMeuQ0WAzb1Bm1B+nLIPLz4yRDIUZEPiCb7kOvu87N7Bx69XEUY9/nQEcbwc3Xbv+jo9+/J5fM731P3NmPmFm0hBKXSp2MiOAzUE9wt7jH248RW9LbJjdNOOJHhdQihH3xBTWoMhckpJbIorgciAsf/CpBn/8iQYd7bteJpGVwno5WpUYrRjMA8ySJMszsmX2SM+2GP/e+XeX/C89xguuMheFMU0+lrIvOn9AGNdDa4zz4E06FDNzU7JrZoRrEBDCaXOdGBp+wo+/s8OFJcnvfGiCfq5HsqiuALlBMjQO1/l8FOn218zs1Yy9s7S9SYFuhB2JaXKg2lGicK+z8HIU3EJkzcmpAZImmzwlmJkQbJ2bQ/ejX9u88UV3wDHA/Z73/8GvMzXZiJthclmzat4WehG1iiH0dTrmrNQeJorS1ZHZJTlYsw8wWimYbVaaB5GlvspyA0MG6HJDcRFQ6kKyjGcqlQbfsOdwwC9/YIKTF0O3If14UkcqlBSEgnwTKS8t4PJKGnx8BrlcpbczTZyNdh7dYiX7t9nw/pEhpaUitOxilXX1qN4u73xRqtsZkUpZ0F740CMO0CqSoZBR1lIJDOumDPfv8bkwL9Pak7HlKr+LBQbyLvjiPh3T4na0YiSjiRENzaieHn9dHsJpSnKMrF4g/YiBJ6j4EIZ1Wl3/Qw8+eP8Dt976Vsfd2Qf49re9GS+ocHjf/Vw49QiVQBD4Jp8SlYH4+TI/q6XKqGRZ5aZIixCmJFcKaVLo8Oy9VJaIAuRlW1DKBOVrnjka8FO/NsWeQyHWl5RT8cXhEhb5jBNRLHOrA7TiupafyxKkJANHLvhqn/AbkHipZa14r3i/DIZVxVcpezvJkjYB4LYGdLo7HXmcpvNFKl+kUakeN4jIct2lMe/9mRV+/JcFew6nwclIEsg6bYSHRZAgcv1tpc1jCIVzWlQqPVS6Hon0O4isbtyO3WxkN9w3OFtl2SjcXp4WhxejY+Y27ORbXv9Kev1+/p/kAJ+dncAParRmFbozoFLx0t7FAnTZHZNHx8/3OUpSpfDEy3JkTH+LMWmSAluULMFvBG7P13Ss5Pc/VeOpZ0O0p8ZAnUqUVJpk3TpemRUpdOJIz2gWdOaSpRx8ltfPcTiL0rl4PmSvBXZWuQwjc1ModmOTpZpxmfVuClH0PBrn3BiTSUOXEJLG6XPSgixhLCox3HDVkH/09i4/+999OokAf+xzljS5A3mWaHFj2rwsqEzrU7L2MlmWKRmGRAF2UrB/Q3BnNwjFNUiEG0uXaItOLJEJmZicRqpwNcB9X6FUcHjdrDjix2ZXNOxiUTlrZ3/YZi5AXii0+iOVNRNr6fC1wC1N8X7G3Bm4s+BSlAPK1BL0NT0jeP+n63zsa3WGykvBPMbcac2FJ4oRyLkUoFS9mLFECchl73Xcp3UnW4y8l+nxUX7/xvhe7aqMlSyXtPhI4Fn2nkcSQEV5rUh1uLSuhFQLi0hBr0W6IaqwBEnCd72ux74THu//VINujAO5oTgpBreKSw+LJElHtRmRbjmIxaNgb4nrxneuicg7e8w4WVjxvCdpPOOb4yy9frG2+GGDWFaPVCrB4V7qoIwAvD6xlYsn//IrXlj5cFib/g+YE0jl54FkVgBkbJFJy5fRVUAfswdLiZ8c2JSL8zMnZQzYwuRSZU1we5pOJHj/7XV++Y8nuLhUrjMpgVyO2oIjXfIUenpcmqwKiMrALl+gMrhH7vRvLE0yoii/znxim0mTEf83lTKUmH0NUFsj06BuVMLoLOA01u2UmbK4FG62n8ayYSbh3/9ICyx84PMNOjFOw5GCW9ridUoeBkFE1iBdjJwwIi2rzVZsW9rHsxy8Z8wtVp+bomKwWL2sdeOWbdqTGceaF+2cZnq68uEPfvLOr/yLH3n7aoADnF+YwYr6F7xB7dsm6lyvVNdthGRd35+bk+dGh+VFP3kwMfrpylp83Dsvspcl1k4dE7EGwJXUJYlSyBMRWj7ztRq/8kdNzi97KbhV6pSUnpHIkjQZAXe+bI73W5ZKD8qgzuKv8lcuv78Gq/91QL5Wc0nhjWcX27KWk1KuNHSSqgC9GGNxY2RxHaw7tHGWhECSRJKNU4Z//6NtFtuSD9/egEpCbg7lMqX8kFgkMUWWVQsnZLLPnu156nR4OiNRFODOpEom1scTP9oIEmtJrCC2gtiAtharLQ0voFkNnnrR9sYXltqDsU9Welx7wxsZLr///l507rE9JwZYlpmaaFMN+1SCIb4fFzsilPzorFYkDxTFaGq9fGStZVLo0fdlyQJUo25JmbnzasHQcvi0x5/fXufcfFpEJTO2Lh+FLZiPgBg7RkY6rwHoEZbOfydG3yvf5H9dZK8B6PHy2VXSBEZWz9HmiLTi0GTjlkfnjI90BJU6gKxRLqVvPTfMM5JsnEt497f22LU1gsi4bYStBpuASdyzTdL3NFkxeGJgmB6REe6wkGSHgcRmW464n3VaDajTz17+OTYQacHQQE9LWlrQji29OGbY7RGqBV585QIx84/96gc/e//b3vKmkXPqjZ/kr+25HiUln793P6E6wX/94QWu2RkzGFSQ0pAID6E9kizfly2n+XJsyMf0Aq6EXwAAMlxJREFUgnselyapa+KY3OSsLbJgMtfkDuCiJE+U0KjAcOSsx3967yR3Pl6BMHVLGM9WusBSCtIuHVt06rC61jsPJscTPSmg84FGGeOUmPt/WnfyvwhycvYeH6lcqk0hnRNoXdG/LLF5ucVN5AFoyuLWBaACmTM5RpWNPEzf8toXD/jFn2rxH987wdGzAQSlD5ppcUFKIjYnlCwAzfa690i3ZcmSaql8kQiy1mZR+t6Uvqu2gthC3wgGGrTRoCNk1OdFu1b49z/QZuuGrWhvC2D47PtGz+cqgL/t9d+O73nRc0c/xoe+sMI/bSX86c8tsH2DhYEtMYVwdy0yD3Jy8hJmNbjJHJXxALNI6ogSuDOGL4NbpuA+ftHj539/go/dUSMS6RAXIUvsXUgUkQWWouiSH2fxcdbOHmsBtpwedi8zTSlK75X+PaUVQKxdVDV6VUfBXP5dUT6bkkqph5MysLMYKSvCKgHdAVtg013InKyRiLShV1iX2tfGUvE073p9H23gP/7uBCcuBoWzMvJQ42cJi0CnK4pOgaYQKFuSh6l0yWLYPFYrOUaalMUNaGNAR4iozyWb2vz2v1jgqq0+p1tXsuvqd0XWJMC/Gvkkq9TUZdtnuWzX5n/7D942fde1V/g8ubfGp+6v0BdDAn+I78UIYUqRQXbhR10RkRVCicLyK9dxj8gPkUmPsiVoVjG35xlOzHv87G9P8NEv14hkBu61Dpmzty8pjYAo2HuV3n6eIHNcqpTdlTI2R+zBsZuh7CiOPMqyo0xiY0mPPPjMwT0aZLrS2rV2LRsdou/21RmXKuUhQiqdnKVIEoWv4Xvf2OdX/lmL7esit1+I/UZHMiJZjHEAHVqILMTWSZTYOGZO0lazzPo0VqzaqU0j0NaCiZFJn6bo8Y7bWrzoypiTC01OLG+9qzm5+d8ateF/euvxX37pl5na+fLo/FL95U/uvXDD/6+9L4+zo6rz/Z5T293v7b3TnXRn75CVsCMJENl3RhbfqMiMCqM482RG4cnwRtE3OoojoqOCMyIq48xTlgECjDHigxDZCVsSSNJNFrJ30vtdq+qc98epU3WqbnUnYTHgzPl8bt9by61bXfU9v/r+dis5RJ94iaJ3i47JbTY6moCaY8J1dTAW3EEpoeNiTAI7d/AKh8BGTYKeNFfATXQXu4d03PD9PO5ZmUJNk5xb0hEl1oToABXS26Cex5IEpR+o97mu/qLicQ2iJ+VLeioDuqJ6MqW3ksh1RC6H2ywS5TiqxzJUNUuhROp+RNlPXmcoExL+96U3M2aSqk8UNR7QjziUT65AgGlgmDPDQWsTw9Ovmhgr0XH4mDpFVa1Rsd8jsDry6PMu5unJiUdTGEBqVRwzaxA3fmIAHzmjhJ2708gkJ7vz5sz9bXXs9XsLzQvqzig2cMJ2CIhbuua6S5Kv/uKGEXQ06/jZQ524/kctWL9VtPSwHVF8PXiKykjBsBQOwmMjCidR9wneZUQgVeNMNAZXJ/jxgyncs8KT3L6UlnRkAsUSkprwUICO7/72b0PE5BeR3mFqMo44Drk6D3FErCmBFCMRBZT40huK5FcTkqO5nIGkV7pHKJKce0onl1Kda0KacwrmEugux2VnlvHJC4rQXa/rU53kdmIkuSfNvTRI15PiUppLie5621RWJiuMJTUOnRHMmVbB164awcfOYdi2J4GPf2My7lox49W9+yvXGHr8JY0F+PVXnYlzjym5C+d383ufKODNwSY0tWSxq78Fz6xrRqmcQqVmwnE1uC5V4gJYKIAqSBB2Q9REhr2GPJSKp9L3Unrghk6w8skkfrkyhSqVRROlAycaChtQk6D8gyIFQ5REZvvHuOqhcnLig77O+RMSPjJP8xBBrnBvZbE+6SEE7qjrPg7c8D2ddaUnPFBzz9rCvOqzgWUlsLRwroMzCpNxfPiMEk47sQziepVBORMgZm7w2V92I9uYP4kdD+S1CMhlPygCESNkahw5kyNvchw/W0dbvhm7dkxCay6Ly5bVkGucwh9Ypbmplg/FXlp9vGtuNCxBeazyy8fX9s1uNofSHS0M7U1JmEhg+94qEpYN03Bg6J4VVHHqhOzaUGJO/LBbZSIQwcGD9UJyE3BoOgPRgYdWJ3D993J4bYspbN11yqQizT2lL5DePCK9+bgcO/gf4k2G6iAe4uvikUKAP3h8xwFevMTDXCqSckNdcnII+GrpN+5bUWQGUGAzF08Akc8JkWRM4Suc1Ksk62eygWP+jBpuuXYE12nAI6tT4vGoeSfLuLg3wtiN8JRl8BkxJ34qXEjvgOjVwz0caQQwNY6EztGc4kA5h2fXNqCj2UZrYxGfPC9ZTHcs/iWhKXzhmvhrq2Gc8d1bb8UxJ561pqer4ZPF/Vvyk5oNTG4z0ZDVYRochq6UTaPBux9EFQl3Vb2W0lauqTTFl+geNdE5iA48+EQSN/wgh/WbTRH66ktvNcZbkd6U+qGwhsK9g+wbJUuHBPxbTgoZ3RfOuCERzkz89QHn9ngzDXi25N9kAg6uKrXR5rLh5UiPSYrIckRpVqqGhTj5ONQrcFQF3FvW5Q4UaGFSbGliWDTbwZt7KDZu1j17ajTwQNGSQzHBEQ6GAOhCjZBx5eK+WTqQMIBCGkgnKDgz4TATxZKBXMtJu6ulsSs6u4+3x8PxuBIcAE4+4QiMjIxgx5ZXYNAaGnMEScuBrDQLqGGc3Ldj+y53ykISm4Y+M+8zUyS8R1U85vHg6iT+9gc5rOszRYFMGngm43m3SLXTSZSexFS5hWI5gSK9lXVSEqu8POTJRHhfILINE4+o97KefxN/pRTmoZgM1azIRJyHb05kXtaN7/WUprcgA0h6NyV1AcQ6QEwY5j0SKLh3HA2MAbTmYv40G1//7Ag4Bx5enRT3JJbwRjxWRP0sIM1B4QKQESSa75oPYnEYByo1hoERGxw6OPJIZI9AOp2d8BpPGJ3f2tZWNQ3903N7uorNBaAp7yKbcpAwHaW3e+Bd9DPf69zrSgSgT0lcxVKi8HCNg2sEjzyZxA3/lMO6zRFwh4KnVMALpGmIqW+iTETVoVNHQWLWqf0bJWzHAy5RP5AY6hG973HfV4WfCvyQV5PUUxQo3kz5CpkN48yISmflGBOjz8cRbiHOmAZWAxZMs/HNvxrBOSeVPVufwsPZgcyJ4Rfn3OflVc+5YzPPnOgClRowWuIYHHGwb7AGM91edBn5dEtra3WiyzyhBLero2zq1O7nshky8vyqTel0sopM0kYyYSNhOTAMJ9R7UrVjE5+HB3xb8nGfg4MHDh0wEE0E66x4OoHrvpvDa+OBW0ps+BwisHkrIA/bu9XQ13GUS4wjpSOTABEpH69THlosioptGUkYgFyRZmrGj9xPqZ8S8nQSj38rsSuSe3OZlMCoV0hTxpALDs4Z9TLmRfxKKMhKnljNxbypNr71P4UkX/lUAi7g7etxchL+z8QsZb6+BFCAa953KBxO/ZLOviGRiDBGxjkcxsFAcfQxHxjp6Oh+bs/eYYYJxoQAb2pqBiHGvvJI5dIFC2c9Vtq/2jAMCkN3YOheO2w9KqEDt3sY1OKfU8Hvv8BANFHy4HfPW/ibW3LYsE0qlJJwqqQzolx6YNLgcTclcCoc361yzQDBdVIb4f2i1hJpMVElfuhLwEGDW5LPuGCrKI0NeTj9yEIlIdkDugyfUMsSA56L3qcwRGnkSgBGQSjz8zuJFqyXQXOccs8DCnAi2qegxjC328Z3/noEf+kQPPac5YE8OH/fJk4kBydipnCqKKPUv88uoyhxCpsR1DhBjXNUXYqSw7F3xMHRxyyyh8bsS7O57D7TSkx4eSekKJSaqBV70dzavaO9c9obuTxDQ24IDbkisukikokKTKMGQ6+JVtheU9VolrsaJEUigVOUeuDWCFY+m8BffSuPjVvNwBND1FfYzh1oYag3CyIsvT15D6LQlICX8zqwCrwq7euIYv5TJXzUukIQJD1FHwUKblX7Qmj6RKW5SleUjHyVi9flbkKR/GrJN2kzZwEfZ1KKK55EvyScb0pUbOW+91MT2xgBt4HZXTa+/4VhnHZ8FRqTJkQ1EEsxKaq2cmYD3AbcGuDaYtl1wFwHVZdhxGboLwO7igRbhwGSSWHegp43ps+YvuOFdduQSJiYaBwwQ5ZQin9/aOXWFc85V705ugCWOQxCR2AYo0glS7A8972ue8BWXtSryy3jSCh1hOOGSBoDEJOA6QSPPpfAtd/OYeM2Q6Sb+ZJbG/8VWJ0DcIMj1q4t16F+vSrBfboxgUIZUjwVcIY4eNznA4xwdn14QoT2Ufl4dDtieLqU7PCoC8J8W+xDPaU2bDdXbeaMa4F9XDqDuCa+VxMgv/VvhrHs2Aqoy4Sx2++mJXm55xAKRSR6IGc1AXRWBdwK4JTBq0VYbBhJMoJKpYirL+nCskV7rxre+8BWTdNwoKEfaAczNQNjxSJ0M7Wrsl974uln1ix9YNUYOltcfPysMbQVKFxGQMBAvb7wgPhfAq1Z3mvuB1yBEFCTYNt+DU+9aOKmH2WxcasJbkgkKjw7+gpJdc/cB0FNQtIb4SjBOK5NxtumgDo2UtDfJ6qEHhqooyCOA6wKZnUfla7wOEkeijQMEilCMeXEs6Bw+LHjMkFC2sv93DOPi1MGvxksg/C/U+qCOBxzum187/Mj+PKPOJ55ycK2/ZoXoOXRFA7vvnr/ACGC1zvehZaxFN76zoYyrjhrFM0FhsfXdqOt/agnOrqW7GpqLyFhpd8+wAEgk07j98+u6i1kG763etNpS/99xfPIZGwcNWsb2o+uiu4QlouKw7CtnyJhcjQ1MJGj5wQ2zuDmE1CLYON2HTffkcHy1Qn0D2keuCk853oMmFXaUk9N6qwlUeUSYXOhADD3T6uOe5OItI6ui0j8d3KEwEsCnhIAWlEuo9k/3qzwJ4pnMSHgIcpCuBodyhF17TNO/VomYoIxf1LIJGZKqa+IUjDA5ujptvFP1w9j+ZMJ3PzjLDZt14VjQhYkFCxdjJrwVzQ2cCQMjj0DOioVTYRAc4I50xmuPl8DYQmcc8p8IJ343vrXH++dd8SpB3UdDwrgAGAme0CT+ecWz2H3X3Np6WKn8jraCznYzjCMZAkvvUHxyOoUVj1rIZ/jOOm4Ki5fVkF7swNe82y6HhCoBfTu0PHV27K4d2UCFVcTF4BEQa3VAzxgz4FiCcVDiQgVUYE5jhQPZc/7WCUh4IYoiYp6dZCgLkpAb8a3ptSZAWM2BlJbUSY9kSEh7NMSok4OEkh+Ii0sYrIEiqg3QXwLCvOsLkHyhBrDEopnQQB+meTDOQDGQByOtkYXHzu3DMsAvvKDDPp2eCCXgxHA4WhvdnHpsjJOOraGhjzD48+YeGR1EmvfSMO10tjWn8ady4HjF/XguBOOu7+lY+ZzwNjBwvbgAX7sgjbs2rFj67mnHfe5DH9N05z0BYWMCaJxPLnWxBd/2Ij1vRZGRgkIZXh0jY2HH6/iT88u4bKzK0hrHMwBqAH0bddx020Z3PvbBCqcikB6XypHgRwnyWMUS9RLbwrV7s3rQQ/EgzjCv0mdiCbBNmVNdLe3KtR5ZEG1oqhdkdV1cZaWcGeIQEoDKkf31pF6CR7N+RRKMPUoCQtLeYiyztQzD7IqYBkcl55eAThw020ZvLFDBwwO2EBKAy47v4w/PbuMY+bU0JjlIJTihFkuzjuhhht+CDz5ehoDQxZeeC2B1rbC8vM6Tvzcnt17t7VPmnLQ1/LALF0Z377lFnz2qnOG2yd1LjDw5tJcsg+vbmG49gdteGFDE6pIAQkN0AjKZaBvu4ZnXjUwUiToaGZoaWfYukvDl76fxT0rE6jCC9SOSuhoXiWNOniI77E0qZDeap2T8cJQw92KoRQnCgwyAQMiPiNSw2JDrnm5H5Gu9LCbntCg24Pqto/GnKtKcfAe2Y8gVnkef9mjXjSsg/i0TU56osbghF36YYuSnPxK4X//qadkb6lTlAs3xpwZLlqaGNas1zE8SDF3hoO//HAR111RxJEza0hoBHbVQrmUBCUJTG6mmD/TxrrNBG/uNrF4XhfOPePE+zb0brvvyIVzDklYHLQElyPf0AZiTP1mVn9++tMvN3z4utuBtdsaUchSOCAoOSZcDsBwAJdg96CG23+egk44zhiq4V/uS+LulQnUpNtRBjJDBbcK+oiySYJgqjDvFtIjVoFU3oH65eg6taVenVSOUzYPQlQfaBc+znt0B64u88DGHTUXehFLHgUJkn+Zp0yKdWoGkKAqgatflEuGZ3WBz8c9yQ3BqSkXmg0j8Oq0iJMj8BIeXMDUGD58RgWcAz++L4nTT6jhM1eWUAATVkGXwnFNVGopVGoWOCeY2VHD168aw/eXN6O1s+uXp5x05DfXb9x+qHA91EJ6QDo/DVb1X4fTk9o+8ZWfz169p78FMwsE0woMXRmGnE5AQUH82EcOmwA7+jX8238m8OCjCdS4/GXFRFEXSaTQEZ+iBGCRTh1KuD9Pws4dtRZePD0JSaeYdeNNCBL+cxDj0MiKH2uCgG5I2ITNg+Flfx8oJdJ8euLJWWkL51GOHfB2tTQIVO6t0BVpVvRd/CywmXNP1HDvJDgDTMJx0WlVfOScCia3uNA9y4Ms6wcQVGoJDAznsHtfATv7G9HV0oSb/8JcvbvS84m/+/6vh+f1dB8ywA9ZggOA1nAFfvP4S6Ubr55Su+2O+1AeG0AmqYFQ4AhrFNwYxJu7HPRuprArwBUXlvG1a8ZQdgCbE/zkgWRgIgr5wMOSOgx2T7aScBBVEG8yjvRW5xBUaRsBfR14g+/F4ZSEXpGDHOKoc/aAhwAqIvo8KU2CffwJII8j3fgh5TL8Q4LCC84tRXygaPKwFPd4OfEdRMLbTEHBCROKqXdcSgILC/FATgjzrrO4MHc/nMBXbsug4ohyx1dcWIZdATb16di8k4BxEzpyoERD0qqhtaUdPQsvqf3or5xSvvW8t3Rt3xLAAeDYhdPBGHt299lHnfjM008m0xbQ0cqw7JgSFh6xD1v2OPjhvSlwTnDDlUUUMgwFynHNZSU88aKJTVuNGCmuUhIloMpvPx0kDevEa0oQ5Z7wOKGqJAJ1YKYqeH1+WQ/iKPRInSiv/52D4iwSnST47EtuZf24HnylLooEJKSFhMBHd0BLggpYgVRXIw4DkBNAsYEDYEL/4F78uAQ+l+qlTHCmmvgdeIX2udd/XgM2bNNx291J7N6vARpw048yKFfFb9x2TxZbduUwf3oap87X0N6ko7khgSkzTygnc7OfJeSQiYY/3vI3GxpySCaNGy8895RbjztqemVWl4u5022kEgYqJQv9+yh27dZw6pE2ClkXXBTEwMxOB+cdXxWxkWr0UkhyK+9KpKCEfai9HwLpLcN3wt5JHpbcJAzkkMIEhX8rtCUuJDaE7MjyOPVJJxzjcm+oVhH4EyDs7vdUu5CHkwTHUqiIVAnjaIq/n6QXqDcP+pWzJFVB4ML3vZ7qb3ECmBwPP2Ohd4fhB+cPjmh47EUDHe0OWpoYkLAwXLHw+jYbr20ugemdle5ZS2/lMG80ExOHxE403vrUAJBKpdnaV567ada0ppuPXpCudU/ajabCPrzQy/H521rxb8sb8cJ6E1UbItTSIchaDAtn2Sg0MkD2agyZByXnVrN0PN5NPEcXAldQvY07HNcNhN9DoFcAWjcJItvHpyfv/IgCV11fZy5X7d3+PhHFEyqPD8yG/n/jl0WLmAlDE0HJyofCwX2gy880tI1SYHCQ4uWNOsYqmt8nKWFoOPoIGx87r4JvfWYEx/cMYn+xjNf32qjorTU90XjzqlWrb0okkxNGCx5ovGWKIsfcqbtqTe0N33jm2XztV6uMr/YPMfrUhna83FdAprWC5oYBcDsBmxBQYsM0bCyaW0NPl4tn1kHEt4Y4twyPldRE3AO/SD3gt8eIxoao8Sbe1+qdPurJ1/HysAKq7li3jkQQHzlu3OoDjhhq4ktu5f9Sw2Kh8myu7BHi64AaYeivUrg68awuIrwi2E4kyCHCK9TJIXI4RbMr7gUHit+gvpWGGMCGjTpeWW+CMQ0wDIAYcAjHnv1V7N+lYdE0E9/6i1E89foIynYHc7Tmr/YNd9yyeWhfDW9zvG2AN0/9czy84oFy0lp8/7Rp6a/89lePYmNvA2a36JjTzbBgWgGlYhWGXoNllGFyF4bBYerexa8LgY1JYiAI94+Hqo5GWv0hXvr6HyewpPiAjLGgRD9DPX50vbp8AJT7vJvEbAgBPhITrvIgFew+aEkI1ELQB1Smnn8H3ws5hEhg+JPUSLRLYWAQCidjDKDUd/2r+Z4AUHMAp+Y9d6kJ6CkQTcPLG0z89ilgdhfBvK59GCuPAakTeHvrnPtrtZHyCSde8nbh+fYBDgDLjpmKZGPrpjUvW9csOdG8rVJ8mU5v4ziiO41KWcPA8DDy2VHomu3N7igUI95KxexBSWA10ZQAqrq47QhGooAPQBdIqHqJTkKYDCmdMVJeWlCikyd0yJhP3lnU4dqnIFHJLNd5x5Eue18xVdarBwpZUVR+7iuhPLiAnuQOQC6onFAUg+NIt7wAOeB1DYJsQAsmms5yxsBlw3rv7MQj1oBpmGhPcmS0FF7dZMF2OMpVgmnTl7ES5l/T279kU3Om752A5jsD8FTTIjy0uq923klL7njs92+mTl7c8h1uD6KlQYPLNdiO5vWKEQ1JX1lv4rXtRlANtq6eN/XpRqjFNhSrCRT6gYj0VSlCdCKMw6/rzYjBMQIKNE5IbGjPgxwRdIcUwshhVOkcsroQsdLP1VSltwJ9HgN2Nb/TB7WU8T5vF/0t5WQSP0dCIAf1wMvEO6PMK/8mXqym4YhOBwvm1rB2h5gwGgESmmhBuXfQha5RmIlpyDS3fP6o45bccZT9ikvMRe8ENN+ekqmO85fMwO7de9w//8i5fZdceOpoz4wCmnJVZJM1WKYNy7RhWjVs2U+wfFUK+wcMUXYtxjXvu+F9gAfgVhMVgICL+01nI5gLKZIx+BsvY2c8KlJ/AMQf4BDAHjIPqusQVg793XhUugforePuiuSX9QtDJxs6sOIQ8p1IEYsI4CuWjIua44yJLByXqfHiIiHCtjW0NHJcsLSMqc0VoFaF7TAUHYKxCrB3oIpiLYnOaUtGZ88/v29g/953DNzAOyTB5UinknCd8vKFCxd/tpCxb92/fUVjLrkf+UwRml7Ei33Aj5fn8atVGcCS4a/hoj2yrJqpKpQIpHZdgkJwq0IjDrihd0XS102ACSZEnfMn5rd96XwwGJ9g36jEjrORqy95NtyT6sE+QqJHrSyB5AZAIlVe/UkaOJSijxYp4f2yb/IrXvcIUc1Wg13VcfnJVQwPD+GO5RzrtxP0l3IwCUdTQw4nLTllYOGiI6/dOzC6vDH/1k2CceMdBXgunwcAVMvDd82ac6LeXCh9k4/d27LpzSJWPJfCnSty2LFP88qKAqHMeK9LsOx+5tMR5VqHgc396xkdfuAQEFEmg3UBHAL6EXfAkF0c4e/FmQ7HO6dDHjE8PARkXysMflC1rAT/LXxvpc9cuAJOBMs0YsD3qYlUTknAn6RjSca1kJBPQyS2ME5BOYPrCsl+5dkuTj96CD9fWcX9T1cxVpmG885d1n/maSf9r0rVvqt7Suc7ceVC4x0FuBxWMg/HHrqzufMUumZN7z98+WfVlqdfLoAZOjhxgNoYQJgXAy4kOKUECQokiGjtF9AQhB6/BwJPrDCMWFHk+zgCOrw9RrmM/a0JpPqhODbjzkiVyIDqao9z+PAQ5VHjxNVJE1VoD3R9oxJcXRYCwOPXAOD1duLEBTQCw+CglKBYSiOXSuDaDzk4ZvYoNg5M6b/kvCU3jFXcO9ua8gd3kQ5xvCsABwDdKOArP7z3DpdNdg2j/O0ZbTsaTRNwdY6UVsSeIeCNfToYF+BOUiClcUFNlMJCnHuNR3n8pa+7KTGmuzhwq/tEKU+s/hg6xjjcyDtWkNsRvx+PgCr6/8SBMno+AbBJWEJ735FKo/qb48WmBMvBxJE7RCenVD7D3lEBcOp5OKGJUGRdEzXIe3cCu4cMaG4elOehURfzZ7YNLGnWryfFX/y0efJVeLfGIcWDH+p47OFf4YJz/uSVrtb0m805emZjYsy6eImLT/7JPiQzFTzzaho2T8I0NGR1LgCucZg0KLdGFPur70L2QBYXJ62Gz04URy1N72q5Yt9RFFmvlk2WsdrqcvD9+tjw6La6eHDvMxCfFB3eL9zy2v8uCb4brvPiNd+Fcq6AKPPmH2OiOun1HfKkOGAginJJQ1n4gAC4abhweA23353GLf+3A7v3NQBuAg3N00fN1LTPlqvJX0zpufItBDYc/HjXJLgc+TRlHJlfNhcmOwa3ftbd+Fqiu5mC2QQ200ApRVoTJXKTuug4rFEhcVxGYMOrzxEqLikvs5LGFTGNwb8VyoK8qZFtUYtJHU1BMKFCx/ePqZoPD52Bx9nDIybtgG4oThm5Tprv/LhvCEdOyK6NSCCWoseELph/4bivt/gJDRDr/ex7l8JxvQZlXEpt4VmnlMNxNZgGAQyKzXtTSGrA/BldFa5N+pRpZe4dHqm9LTf8wYx3HeBXfeJ/4NHf3OfuHJh974Ju17Vo87/e8fC2xO3/UYDNLSR1gpTGkTIEwA1NSA7GCWouB3MI4Ira0Y5iHvMDq6Dc8HGwFav8RehKnIkxhPbIasQcM5YqTYD3kOJHAvD6U9UHZJRKIKyA1s0Q4ltF1LiUOqug3DcqGGI74nmc3zu2CyGAao4O29ZEupoHcJGZz1CtGTB1E5++uIT+4m7sGzm+UtNaP9bV3nr/s2sH3Y9+5NK3C68Djncd4ABw2pkfwv4td7iN3XPv+6c7Sx//3Trzp4NjO1PQdSQ0IK0zpE2OpOfC1yjgMo5SjaDmiAr/VSZiyTngl0Hm8CiE4uyQNy+4WwikFYkIKXUf7z2G7sZ7J8cBcHT/gy/gFj0Kj+XnYTBH9uOBJPe3K/En0UKvdd5OIEKBgsYFMkBNXHMOl4nAqkpNR7miw2VEVFcwRFy4RhlMw0bN1pHSCW68Ykppy0Dqz0459aP3DX79bv6Pf3v524HUQY8/CMABoGnqJ/HR63/O//WbtbuT+kx9xiT3tnsf25l3aykkTSBtcaQtwDIJDI2IkgQloL8IDFaBCofXvFRo6iYVBIVyL0ZcuWEqCEjkJW+i3BhVMBH5HOzHQ2ANHQ+IoHo8bTVmjOOl9AVvRGGMWkB8ioIwUP10NFJ3yLASG/qGNC6GO+PJMtiy5B5AYOgMtmNgrKRjeMwCY4ChcyRMF4wBGmXIJIHhEsfm/nnDRJ/3mdMubLybD30HpPA3fyDUvctKZnS8+vv/wOy5H8GlZ+xde/z83M5MruvkHTsrKZMX0ZChyKUosikNuYyGfMbE9E4b3BzB7gEbpTITbTcAuKICR9A3h5D6ZGP15SuJSrU3GlU81UTiINE4rETCrw0e/g6JKJ7BeYWSkNV3wI91UZVgIJCi0cKgcYVC/WMj2BarrCKsFIfK2vkdORBqOaNRr5iT19tU1xwYug3LrKJcq+D5DTpe2phHpWqiXKOwHeHFFM8tF9lcFsP8+P2rN0y99o19+MXnP1VGz5Gf/UNC7p3xSbyVsXPPMAxD/8RDK37/jd/85nct3BlFIWsindKQSVLkMwQ93WPoaN2BF3pH8dWfNmDbQAbQLUAzQQiFqRGkKIdFAZNyUfBeExTH8JRVWeBeIzzcVKou457ErCcx24mw7kS3RUAuv0/UdcqkUYvex58PD01Qzft/xDoJSq9pVmh/BbBUxHtE12vey2/MSxk0r5mBqBQsAS1fohSfrjmwzBp2D7i46WcFPPtaKybnMujp1JFN68imKTIpjmzSRntrAguOXNo/aeoHvshc5yeG1XRYcPYHoyjR0dGWx9hY8SeXX7iENGbJPzy5+vEW5pSQz2loyAItBRu5jIuWgo4rz67hxU3D+PEDGqqu96jWTDhMg00IdB5WqKKKX5ROBPErch0Zj1KHB4k5bky8wIR0Z5wxXkDVgZwzctE/RsTNHpRYDr4TcvErla2Cc1Y6cVBVetcArYrlTybxs0eaUChkUdBd7NpXQ9VmqNk6SmUOrT2PzulL+1umnHiD4/CfWIl3x4lzMOMdC7Z6KyOTSQMEdyw7+fjrLjjvzMHpU9vQkAEaczaaGypoKRSRy5Sh6S4+emYRTfkKYHtFGpkDl3PYHF7HsOC4EnxBZ2JeB2p1P385hjpHOXxcnHdgeuShSXMwz8dQRrxqGuQkrGQqwVMhDh5sjh65zvMYRBzKjHcl+z5yjKC+u9c63ZPe+0c4frEyBbgcYyUXO0Y07BsFBkYcjBQdWKkmLDpq2eC0Wcdex1x+h5VIvasYOtA4bBJcjnQqBdex7zpq8eKB0tjeGQlj8s2lgSeMKa1D4HQEjzxjY1IzwcI5NVx/xQi+9GMdI+UgzNblOkTutmLqUyILQ2lt0c/yJGKVyvBy9KMKdqL8CT8Nxn8uhIRwJHw1Pr5E5taEjxHSHkkEyER9J8pn2bZExJJEowyl3VtULRCtHS2zhpEywzfvyuD1XgNLFw+huXEMz25oQO8eC4wxLFt6rJ3PWtfPn7+oz7Ksh01z4tLGf4hx2AEOAJpusJ3be5cvOuYcsza2tkSnjP3w+VceI7c/lKNr+xL4yAd3YeHsQXzqoiIIJbjpDoLBssgO4TToAgYgxG9DyiRigI0w8MODxIKcI3gyyO9DVfK8lRNFOsoDcW8jB/wqDlCBGd49EmyF8Z8Q0fQzpSahKOjDgwJAkt7xgK6IkxZd8Shl0HUHw0UXX7kzgzsfyEPXCc46oYTLTyFYs6mGXz4+ic2YejLvmTP7L5ceO/unfdt21+bN7Tl8gFLGYaUo6uiYPBMZo6/W1NR8V8fMzrmv7jjxS8SdhyM7kzh9cQa6m4FFNfzpOUVcdsoISMWG6O3i/SMqFYGqsEWaS0na4oP00PRsovxVM4Cipkeovxf5FR5Bbl3xeh6mIFE6Mk5UVt0Ic+2A9oT78HjJxEpciQQ5IaJzh56s4Z5VCfz7I3kU3QRGkcOvn+7EmnVTsHDmAvz1R2d/qaF12tyW1va7nlm35z0DbuA9IsHlSBcWAkD5f//jAxsfXnv8Nz69bIuZNRtubMw6WqU2Cl3XkKM6/uycMl7sHcNzm5KALiq6in4/0gkk23DzAOgIS3FgYmjzIL/FH3F28ADEJGKGiyLeO65it1Z+LJDaIQmuiPLxTvZA81Nxz0t3PQPxe+0QULgEoIyLuposTFdMw8EL63Tc8UgDBuw0dJ3DoDqKlRz2FKe5+8utX1u6rPSN+dO3uY3dS/7woDnAeE8BXI6//8JFeOCBB92LLvrwl0tj/Xp1MPv5X69yrKQxiGNmMiycXsLVFxbx3LdboBHil072zWleYr5vJoyxH5OJ0V0PHG9d9LvSihINupLbxqNAIaWYRKR3hD/Ln/fFcdxzd9z/h/hxKQC8hGDJ+QkABkJEZo7GODgP+vSAi31vfzCLNZuakE4bOGneGGZ06Si0LK1efvmSb09qb/7yb1Y8hDPPOv9wwyZ2vCcBDgAXXXQhXHsIVHNuTCQuoIWOuSc+/eSvaVt+5ETO1unlmgNQHZZGRIIEURq8UtEG2m/zg7ATxR8xoAhZ2qIjajnxwRutLBsPbgl8NQaFQ6mvTSJ0RXnJcxvndCKTSAmTVbar1a+IVDoZFVEMBHCpaCwlU9Fs14Dj6KCaBlMnOGVuk3PpsvanLr7gDFbi854qO7ixf/8IWppyhxsu4473LMABQDMK8uMNa198CJ1nn5BNmQP/PDCqXf7/XtlJE7qGvMZ8cxeBcIYYmohp0Wlw01WlLWr68+3PynJcRo3cIc6mHngjw0AXO9ZHpAT1SMQyk39ENTRQrtAUGQmo8nASnEugTwTpfeH4cC+hWLWmeBquyLwR39coBdNd7/AU1aqFESRx/gk6KmwqO6an555CQ+rq5Sv7Rz/+0cNn2z6UcWga1mEevLoBMBPNr67f8bn/888vzTed4sVbN/diZ5GiUjXQmODIJxmSJmAZBLpHvBmD6K/o886wlAUCaRyuI04CTygl0DQCTfM+y5dGPO8mCTyavuUmbIcGEHKoyLPxJ4n0WmrK00iD1zI9oF+aFoQVa5pwyGiUexYjValWC5IGyQsuI3BdApeJFbrOkTBcJC0b2XQV2VQJw0WGXf1pdHfPwJROcv/m4Q+uHarO/q5Bx/YtOXrq4YbCQY/3tASPDmL1AMC+TX3b/u67N/R0b3i9D5XRpouX//5p/OpRG65rwdIJEiaQMAkMTUiqqsNF8y4eSOhQ7AcQUvSECQ1+dabxT8h78ycF8cICiFrtOWwFUbi2WMGUiSa0ZMKC+JG6KCoE/0MIwBFwA/CrzQaSXuzvgsB2KKo1EdNjaKLEsUYZOOewnSKe7WuGlToNcxp77k+3zbp2era4Nd/YfLghcMjjfQVwOWbN6MLQ0MjWI49ccF3OoHe1Tpn8Oc3cevJrazeCuqNIJQykExSWIbSxwVGGkaIL2+HQNcDQFemtAE6oXB49EEFzivkuHFsaznwJ4lA0P1Ylojwy+MFisvOZdKH7+4oji2MqZkPGgzztELUCAC++xA8kk95UxSQIDhDKoWsiXps6HMNjOvaPiFi7hMnhMgDcRjZbQHPTIixYPH/Vm/2Tvts5pfuVkaKztalp8uG+7W9pvC8BDgCFQg4AejnnvUctwtp1vY9POuukI360ccOGma+/tk6zDI5cRkdTnmD91jE8v4UjpWtoTHFYRKbDCUAzJgAnwQbmSWAmpF7QmCMs0QWlIV6EoaQsCvf3JhDj4ne46wGWcfHyTYBeGLA/eYjIQ6URm7mCbpXSEM96JAOq/AnFBA0hTNIthnymCssqoXdHBhu3FlDIEmRTAGBi6vRFbue0Gb2WWfyLk444fReAjaFYm/fheN8CXA7vBmzc279/o+u6ZzXlk50fPPnYe55/7qmcW92Z7mwawNFzB1EEx1OvNCHHCAwdSJpC2SrbHC7zJBg8LyXlfghq0EaPhFLJvB/3pa9GRR0j+aKeKU+k3gEO4ElJAXDX5XAZ82kTpaK1NkD9CMRQjI1Cp4Jsm3B0oAQ5h9fEzCWo1rwGrwTIahzJRBGr1lVw58osCloZ82flMGPm1OLJSz4wQol9aaF5yg5K6db3O7DleN8DXI7WliZwzre2t7W8OTpanJew6AkJ0/mX2tg6J03WNF5+6tbsujccMKYjZRE05nXUbI7Rfgc1B74CSom4KlLZDEx0vC44iQAiFlyR3oYulDZJUzgDbIeAscA4wzhguwyOI6Q4AYGmcXCN+sDVKBE0SYnYD9naFYsJpRyaxmHorl/bRHgpgd37dVRqFA05hsYcx3CR4YHf52BYU0bPOHXWwNJjZ+uplH5VR+fUp5Op9DA4Z4S+Zxzcb3v80QAc8KU5GxzYPdg+qX2FXRme/dh//kf1yk/9/RdaRn53xcyu3bZuO3MmNyMxuaWCslPFs71AWieouiJxNmkwz2SmttyL2KQjkYvUs3YYGmDqHKYpsltkbmm5CthuIBEZ46jZDJUqE8m6hEDXAW5IwEr3uWLaVC0j0iLihSdQAhg6g2W6SJgOOKeo1jRk06NY+VwS5XIKC3uycHiiYiRTr59/+jxjXs8H7/rctZ//x/NOv9lqasxV9g+OsCnpzOG+he/4+KMCuBwNje2AoL0lVukFdONmQvSbz/rAQq2lIffDlGXPTtFNS17t26AZpo5JDQS7xirYvl9HA9ega8wPhJJDKoZUcmq/Hoj0oArpbRocCZMjYTFYBoNGOYbHNAyO6HAYoFMCUyfYU+QYKTFoFDANggQLvIoaZeC6bAGiJEFI649/UuIkRcwIRypRQ8IcxZZdOsqVVnR1VGFmNCSz3e6sI2atntSW2MjZ4DW6PuZm0gn88+238nlHdJUO9/16N8cfJcDVQRMzgUAQOswevproiYa9e+d//ZE1D5pdbfvcc0/IHNXaOnj0LfcO4I1eB1kDosEjJ6BehwlJMRgRjSmEW1sclhJPudQ5LJMjlWDIJB3kM1WkkyU8s17H1l0NaMpT5DIaOloY9hXLeOVNHTmLIp/k4ElpAxc6AfMyHyS/Fxk3niLptZVzGaAxBtcFajUbGilh9xDBY+tnoqPQ8ELX5H1rPnlJTss0XVzTzM6/5aw82NH+3vU6vhvjjx7g0UGNPAAMAvgMAGzeuAqM0ZMnte49c0e1eunON90e4pbx7EubkE46sHQbo2NVFCtAOqmDEEGKHQIwAwCExUX3Pagi8TaTqqG5MIYqH8L9TzeDVmrIpkxYhoYpbQ7a24bx+GtJFEeyIp1OE+l2hsu8CD9xvlJ5Nbwq05S6MKiNsTJBxTbR1mShoWAj23AsGgoUpEw3tOzsuGdGV/I320ts1YcWnQrgi4f7sh+28V8O4NExbfbJALDqje0Dq85aSp7QYM/YuXeAPb1+D1swt2na0fObvrihrw99OyxUxvZiT/8QylWGTILC0C1wi3qmQs+ioQlqkk7YSCeLuOdRDa9uzmBxJ7xsc+Eanz8NuPADQ/jZijSKNYqkxWC7gO0w2A6B6TKvQCaDqdeQTtgYK1NY6SZM7c7jlc0MLe3T0Jja/43mhr7Nk2Z8gFqpZtqVoH0Lj8QKorUc7kv7nhj/5QEux/TJjQCwQi6PjewHpYmCU936VDpjg1sJe+bkeX9dqvIzRksOLI3htXUvg/AKUkkN6bTg3rpWASE1aFoFujaGl3tTqFVcOA6HbRM4DuDYDsA55kwuwS1XMGKYSBsMhbQFy0pA1wkMQ4dhUBQaMjhq8XxkUhxjJQ1V21jZnB/8jrGPGZO65mHBrEmriuXaUKHlvwEdN/4b4OOMTK4JAIYAPAgAe/fsAQheL1actmqVMTAb27f1oVJ2YRgaTIODsYo9veeYmzQMnZ9LjdiJ3BCOW5xCItWAac0cbY0G2ps1tDXXkMyPYlJHEacsbURjUkdHg25Mask+9NJLa27S9ISh6zp0nSKZzKCzay5SCQ3VGqU1x9gDgs1XXtZ2uC/R+2L8N8APcrS2tQHAZu8VO7ZsehIg5Opq0ciblsU1M4GW5iS6RrNoawCa8hryeYp0xoFuJZHNltHRmUOTRdHRYJEZU9uHZ87o3nP2Ge+9xIH36/j/xHx2Jwrj+SsAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTc6Mjk6MjMrMDA6MDB0KE1cAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE3OjI5OjIzKzAwOjAwBXX14AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 47297053
{'hecke_orbit_code': 27021872675685162, 'n': 1, 'trace_an': 2}
-
id: 47297054
{'hecke_orbit_code': 27021872675685162, 'n': 2, 'trace_an': 1}
-
id: 47297055
{'hecke_orbit_code': 27021872675685162, 'n': 3, 'trace_an': 0}
-
id: 47297056
{'hecke_orbit_code': 27021872675685162, 'n': 4, 'trace_an': -1}
-
id: 47297057
{'hecke_orbit_code': 27021872675685162, 'n': 5, 'trace_an': -1}
-
id: 47297058
{'hecke_orbit_code': 27021872675685162, 'n': 6, 'trace_an': 0}
-
id: 47297059
{'hecke_orbit_code': 27021872675685162, 'n': 7, 'trace_an': -5}
-
id: 47297060
{'hecke_orbit_code': 27021872675685162, 'n': 8, 'trace_an': -2}
-
id: 47297061
{'hecke_orbit_code': 27021872675685162, 'n': 9, 'trace_an': 0}
-
id: 47297062
{'hecke_orbit_code': 27021872675685162, 'n': 10, 'trace_an': -2}
-
id: 47297063
{'hecke_orbit_code': 27021872675685162, 'n': 11, 'trace_an': 0}
-
id: 47297064
{'hecke_orbit_code': 27021872675685162, 'n': 12, 'trace_an': 0}
-
id: 47297065
{'hecke_orbit_code': 27021872675685162, 'n': 13, 'trace_an': 1}
-
id: 47297066
{'hecke_orbit_code': 27021872675685162, 'n': 14, 'trace_an': 5}
-
id: 47297067
{'hecke_orbit_code': 27021872675685162, 'n': 15, 'trace_an': 0}
-
id: 47297068
{'hecke_orbit_code': 27021872675685162, 'n': 16, 'trace_an': -1}
-
id: 47297069
{'hecke_orbit_code': 27021872675685162, 'n': 17, 'trace_an': 12}
-
id: 47297070
{'hecke_orbit_code': 27021872675685162, 'n': 18, 'trace_an': 0}
-
id: 47297071
{'hecke_orbit_code': 27021872675685162, 'n': 19, 'trace_an': 10}
-
id: 47297072
{'hecke_orbit_code': 27021872675685162, 'n': 20, 'trace_an': -1}
-
id: 47297073
{'hecke_orbit_code': 27021872675685162, 'n': 21, 'trace_an': 0}
-
id: 47297074
{'hecke_orbit_code': 27021872675685162, 'n': 22, 'trace_an': 0}
-
id: 47297075
{'hecke_orbit_code': 27021872675685162, 'n': 23, 'trace_an': 9}
-
id: 47297076
{'hecke_orbit_code': 27021872675685162, 'n': 24, 'trace_an': 0}
-
id: 47297077
{'hecke_orbit_code': 27021872675685162, 'n': 25, 'trace_an': -1}
-
id: 47297078
{'hecke_orbit_code': 27021872675685162, 'n': 26, 'trace_an': 2}
-
id: 47297079
{'hecke_orbit_code': 27021872675685162, 'n': 27, 'trace_an': 0}
-
id: 47297080
{'hecke_orbit_code': 27021872675685162, 'n': 28, 'trace_an': 10}
-
id: 47297081
{'hecke_orbit_code': 27021872675685162, 'n': 29, 'trace_an': 0}
-
id: 47297082
{'hecke_orbit_code': 27021872675685162, 'n': 30, 'trace_an': 0}
-
id: 47297083
{'hecke_orbit_code': 27021872675685162, 'n': 31, 'trace_an': 4}
-
id: 47297084
{'hecke_orbit_code': 27021872675685162, 'n': 32, 'trace_an': 1}
-
id: 47297085
{'hecke_orbit_code': 27021872675685162, 'n': 33, 'trace_an': 0}
-
id: 47297086
{'hecke_orbit_code': 27021872675685162, 'n': 34, 'trace_an': 6}
-
id: 47297087
{'hecke_orbit_code': 27021872675685162, 'n': 35, 'trace_an': 10}
-
id: 47297088
{'hecke_orbit_code': 27021872675685162, 'n': 36, 'trace_an': 0}
-
id: 47297089
{'hecke_orbit_code': 27021872675685162, 'n': 37, 'trace_an': -20}
-
id: 47297090
{'hecke_orbit_code': 27021872675685162, 'n': 38, 'trace_an': 5}
-
id: 47297091
{'hecke_orbit_code': 27021872675685162, 'n': 39, 'trace_an': 0}
-
id: 47297092
{'hecke_orbit_code': 27021872675685162, 'n': 40, 'trace_an': 1}
-
id: 47297093
{'hecke_orbit_code': 27021872675685162, 'n': 41, 'trace_an': 3}
-
id: 47297094
{'hecke_orbit_code': 27021872675685162, 'n': 42, 'trace_an': 0}
-
id: 47297095
{'hecke_orbit_code': 27021872675685162, 'n': 43, 'trace_an': -8}
-
id: 47297096
{'hecke_orbit_code': 27021872675685162, 'n': 44, 'trace_an': 0}
-
id: 47297097
{'hecke_orbit_code': 27021872675685162, 'n': 45, 'trace_an': 0}
-
id: 47297098
{'hecke_orbit_code': 27021872675685162, 'n': 46, 'trace_an': 18}
-
id: 47297099
{'hecke_orbit_code': 27021872675685162, 'n': 47, 'trace_an': 3}
-
id: 47297100
{'hecke_orbit_code': 27021872675685162, 'n': 48, 'trace_an': 0}
-
id: 47297101
{'hecke_orbit_code': 27021872675685162, 'n': 49, 'trace_an': -18}
-
id: 47297102
{'hecke_orbit_code': 27021872675685162, 'n': 50, 'trace_an': 1}
-
id: 47297103
{'hecke_orbit_code': 27021872675685162, 'n': 51, 'trace_an': 0}
-
id: 47297104
{'hecke_orbit_code': 27021872675685162, 'n': 52, 'trace_an': 1}
-
id: 47297105
{'hecke_orbit_code': 27021872675685162, 'n': 53, 'trace_an': 6}
-
id: 47297106
{'hecke_orbit_code': 27021872675685162, 'n': 54, 'trace_an': 0}
-
id: 47297107
{'hecke_orbit_code': 27021872675685162, 'n': 55, 'trace_an': 0}
-
id: 47297108
{'hecke_orbit_code': 27021872675685162, 'n': 56, 'trace_an': 5}
-
id: 47297109
{'hecke_orbit_code': 27021872675685162, 'n': 57, 'trace_an': 0}
-
id: 47297110
{'hecke_orbit_code': 27021872675685162, 'n': 58, 'trace_an': 0}
-
id: 47297111
{'hecke_orbit_code': 27021872675685162, 'n': 59, 'trace_an': -9}
-
id: 47297112
{'hecke_orbit_code': 27021872675685162, 'n': 60, 'trace_an': 0}
-
id: 47297113
{'hecke_orbit_code': 27021872675685162, 'n': 61, 'trace_an': -8}
-
id: 47297114
{'hecke_orbit_code': 27021872675685162, 'n': 62, 'trace_an': 8}
-
id: 47297115
{'hecke_orbit_code': 27021872675685162, 'n': 63, 'trace_an': 0}
-
id: 47297116
{'hecke_orbit_code': 27021872675685162, 'n': 64, 'trace_an': 2}
-
id: 47297117
{'hecke_orbit_code': 27021872675685162, 'n': 65, 'trace_an': 1}
-
id: 47297118
{'hecke_orbit_code': 27021872675685162, 'n': 66, 'trace_an': 0}
-
id: 47297119
{'hecke_orbit_code': 27021872675685162, 'n': 67, 'trace_an': 4}
-
id: 47297120
{'hecke_orbit_code': 27021872675685162, 'n': 68, 'trace_an': -6}
-
id: 47297121
{'hecke_orbit_code': 27021872675685162, 'n': 69, 'trace_an': 0}
-
id: 47297122
{'hecke_orbit_code': 27021872675685162, 'n': 70, 'trace_an': 5}
-
id: 47297123
{'hecke_orbit_code': 27021872675685162, 'n': 71, 'trace_an': 12}
-
id: 47297124
{'hecke_orbit_code': 27021872675685162, 'n': 72, 'trace_an': 0}
-
id: 47297125
{'hecke_orbit_code': 27021872675685162, 'n': 73, 'trace_an': 4}
-
id: 47297126
{'hecke_orbit_code': 27021872675685162, 'n': 74, 'trace_an': -10}
-
id: 47297127
{'hecke_orbit_code': 27021872675685162, 'n': 75, 'trace_an': 0}
-
id: 47297128
{'hecke_orbit_code': 27021872675685162, 'n': 76, 'trace_an': -5}
-
id: 47297129
{'hecke_orbit_code': 27021872675685162, 'n': 77, 'trace_an': 0}
-
id: 47297130
{'hecke_orbit_code': 27021872675685162, 'n': 78, 'trace_an': 0}
-
id: 47297131
{'hecke_orbit_code': 27021872675685162, 'n': 79, 'trace_an': -2}
-
id: 47297132
{'hecke_orbit_code': 27021872675685162, 'n': 80, 'trace_an': 2}
-
id: 47297133
{'hecke_orbit_code': 27021872675685162, 'n': 81, 'trace_an': 0}
-
id: 47297134
{'hecke_orbit_code': 27021872675685162, 'n': 82, 'trace_an': 6}
-
id: 47297135
{'hecke_orbit_code': 27021872675685162, 'n': 83, 'trace_an': -6}
-
id: 47297136
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