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mf_newforms • Show schema
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{'Nk2': 304, 'analytic_conductor': 0.6068630553617309, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [19, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [76, 1, [39, 21], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 33554508, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '76.2.a.a', 'level': 76, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 19], 'level_radical': 38, 'minimal_twist': '76.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{3}-q^{5}-3q^{7}+q^{9}+5q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/76/a'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '76.2.a', 'trace_display': [0, 2, -1, -3], 'trace_hash': 1354001870116862942, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.987', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.048', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.973', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.117', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.946', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, 'traces': [1, 0, 2, 0, -1, 0, -3, 0, 1, 0, 5, 0, -4, 0, -2, 0, -3, 0, -1, 0, -6, 0, 8, 0, -4, 0, -4, 0, -2, 0, 4, 0, 10, 0, 3, 0, 10, 0, -8, 0, 10, 0, 1, 0, -1, 0, -1, 0, 2, 0, -6, 0, -4, 0, -5, 0, -2, 0, 6, 0, -13, 0, -3, 0, 4, 0, -12, 0, 16, 0, 2, 0, 9, 0, -8, 0, -15, 0, 8, 0, -11, 0, -12, 0, 3, 0, -4, 0, 12, 0, 12, 0, 8, 0, 1, 0, -8, 0, 5, 0, -10, 0, -6, 0, 6, 0, 2, 0, 0, 0, 20, 0, -10, 0, -8, 0, -4, 0, 9, 0, 14, 0, 20, 0, 9, 0, 6, 0, 2, 0, -9, 0, 3, 0, 4, 0, -11, 0, -3, 0, -2, 0, -20, 0, 2, 0, 4, 0, -15, 0, 2, 0, -3, 0, -4, 0, -2, 0, -8, 0, -24, 0, -4, 0, -10, 0, -6, 0, 3, 0, -1, 0, 6, 0, 12, 0, 12, 0, 18, 0, 10, 0, -26, 0, -10, 0, -15, 0, 12, 0, 25, 0, 12, 0, 8, 0, 2, 0, -7, 0, -24, 0, 6, 0, -10, 0, 8, 0, -5, 0, 18, 0, 4, 0, -1, 0, -12, 0, 18, 0, 12, 0, 2, 0, -4, 0, 4, 0, 17, 0, -30, 0, 3, 0, 1, 0, 16, 0, 21, 0, -26, 0, -10, 0, -2, 0, 4, 0, -24, 0, 11, 0, 40, 0, 6, 0, 32, 0, -30, 0, -2, 0, -21, 0, 4, 0, 24, 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [2], [0], [-1], [0], [-3], [0], [1], [0], [5], [0], [-4], [0], [-2], [0], [-3], [0], [-1], [0], [-6], [0], [8], [0], [-4], [0], [-4], [0], [-2], [0], [4], [0], [10], [0], [3], [0], [10], [0], [-8], [0], [10], [0], [1], [0], [-1], [0], [-1], [0], [2], [0], [-6], [0], [-4], [0], [-5], [0], [-2], [0], [6], [0], [-13], [0], [-3], [0], [4], [0], [-12], [0], [16], [0], [2], [0], [9], [0], [-8], [0], [-15], [0], [8], [0], [-11], [0], [-12], [0], [3], [0], [-4], [0], [12], [0], [12], [0], [8], [0], [1], [0], [-8], [0], [5], [0]], 'ap': [[0], [2], [-1], [-3], [5], [-4], [-3], [-1], [8], [-2], [4], [10], [10], [1], [-1], [-4], [6], [-13], [-12], [2], [9], [8], [-12], [12], [-8], [-10], [-6], [2], [0], [-10], [6], [-9], [-11], [-3], [-15], [2], [-2], [-4], [-6], [6], [18], [10], [25], [12], [2], [-7], [18], [2], [4], [17], [3], [21], [-26], [11], [32], [-21], [-24], [-8], [1], [22], [-3], [-12], [12], [7], [-10], [30], [-4], [-32], [19], [-11], [-6], [21], [16], [-4], [-30], [4], [-21], [5], [28], [-20], [-36], [-40], [24], [2], [2], [-5], [16], [-13], [-19], [19], [-5], [4], [-26], [-28], [19], [-36], [0], [32], [26], [11], [28], [1], [42], [-8], [20], [-13], [3], [22], [-12], [10], [32], [-47], [9], [4], [-7], [0], [-11], [-7], [-27], [-34], [16], [-10], [-2], [-20], [-33], [-10], [-6], [13], [7], [-6], [-43], [-40], [-16], [-5], [9], [31], [18], [4], [-12], [39], [0], [45], [53], [-28], [-48], [-10], [42], [18], [1], [6], [34], [-51], [1], [22], [-40], [-18], [-28], [14], [-31], [-26], [-12], [-16], [48], [20], [56], [-12], [-38], [37]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 33554508, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '76.2.a.a', 'level': 76, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [19, 1]], 1, 1]], 'ALdims': [0, 0, 1, 0], 'Nk2': 304, 'analytic_conductor': 0.6068630553617309, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [76, 1, [39, 21], [1, 1]], 'conrey_index': 1, 'cusp_dim': 8, 'dim': 1, 'eis_dim': 5, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 33554508, 'hecke_orbit_dims': [1], 'label': '76.2.a', 'level': 76, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 19], 'level_radical': 38, 'mf_dim': 13, 'mf_new_dim': 1, 'num_forms': 1, 'plus_dim': 0, 'prim_orbit_index': 1, 'relative_dim': 1, 'sturm_bound': 20, 'trace_bound': 0, 'trace_display': [0, 2, -1, -3], 'traces': [1, 0, 2, 0, -1, 0, -3, 0, 1, 0, 5, 0, -4, 0, -2, 0, -3, 0, -1, 0, -6, 0, 8, 0, -4, 0, -4, 0, -2, 0, 4, 0, 10, 0, 3, 0, 10, 0, -8, 0, 10, 0, 1, 0, -1, 0, -1, 0, 2, 0, -6, 0, -4, 0, -5, 0, -2, 0, 6, 0, -13, 0, -3, 0, 4, 0, -12, 0, 16, 0, 2, 0, 9, 0, -8, 0, -15, 0, 8, 0, -11, 0, -12, 0, 3, 0, -4, 0, 12, 0, 12, 0, 8, 0, 1, 0, -8, 0, 5, 0, -10, 0, -6, 0, 6, 0, 2, 0, 0, 0, 20, 0, -10, 0, -8, 0, -4, 0, 9, 0, 14, 0, 20, 0, 9, 0, 6, 0, 2, 0, -9, 0, 3, 0, 4, 0, -11, 0, -3, 0, -2, 0, -20, 0, 2, 0, 4, 0, -15, 0, 2, 0, -3, 0, -4, 0, -2, 0, -8, 0, -24, 0, -4, 0, -10, 0, -6, 0, 3, 0, -1, 0, 6, 0, 12, 0, 12, 0, 18, 0, 10, 0, -26, 0, -10, 0, -15, 0, 12, 0, 25, 0, 12, 0, 8, 0, 2, 0, -7, 0, -24, 0, 6, 0, -10, 0, 8, 0, -5, 0, 18, 0, 4, 0, -1, 0, -12, 0, 18, 0, 12, 0, 2, 0, -4, 0, 4, 0, 17, 0, -30, 0, 3, 0, 1, 0, 16, 0, 21, 0, -26, 0, -10, 0, -2, 0, 4, 0, -24, 0, 11, 0, 40, 0, 6, 0, 32, 0, -30, 0, -2, 0, -21, 0, 4, 0, 24, 0, -24, 0, -8, 0, 24, 0, -20, 0, 1, 0, 4, 0, 22, 0, -3, 0, 2, 0, -30, 0, -8, 0, -16, 0, -12, 0, -6, 0, -20, 0, -32, 0, -3, 0, -20, 0, 13, 0, 12, 0, -12, 0, 7, 0, -10, 0, 3, 0, 30, 0, -10, 0, 4, 0, 3, 0, 16, 0, 0, 0, 3, 0, -4, 0, 10, 0, 12, 0, -32, 0, -20, 0, 20, 0, 15, 0, -16, 0, 19, 0, -11, 0, 16, 0, -6, 0, -2, 0, 18, 0, 21, 0, 1, 0, 28, 0, -9, 0, 16, 0, 10, 0, 12, 0, -4, 0, 18, 0, 8, 0, -30, 0, 12, 0, 4, 0, 15, 0, 1, 0, -21, 0, -24, 0, -18, 0, -8, 0, 5, 0, 6, 0, 28, 0, -16, 0, 11, 0, 50, 0, -20, 0, -22, 0, -18, 0, 12, 0, -6, 0, -36, 0, -40, 0, -1, 0, 12, 0, 39, 0, -40, 0, 24, 0, 2, 0, 4, 0, -8, 0, 2, 0, 2, 0, -5, 0, -12, 0, -30, 0, 16, 0, 50, 0, 4, 0, -12, 0, -13, 0, 12, 0, -19, 0, 19, 0, -8, 0, -5, 0, 36, 0, -4, 0, 5, 0, 4, 0, -4, 0, 4, 0, -40, 0, -48, 0, 8, 0, -26, 0, -8, 0, -28, 0, 6, 0, -5, 0, -6, 0, 19, 0, -12, 0, -36, 0, 10, 0, 6, 0, 0, 0, -27, 0, 4, 0, 6, 0, -5, 0, 12, 0, 32, 0, 26, 0, 24, 0, -12, 0, 41, 0, 6, 0, -40, 0, -2, 0, 36, 0, 10, 0, 11, 0, 20, 0, 0, 0, 28, 0, -13, 0, 2, 0, -24, 0, -20, 0, 1, 0, -4, 0, -30, 0, 42, 0, 10, 0, 33, 0, -8, 0, 20, 0, 50, 0, -32, 0, -13, 0, 24, 0, 36, 0, -20, 0, 4, 0, 3, 0, -4, 0, 4, 0, 22, 0, -9, 0, -14, 0, -12, 0, 10, 0, -12, 0, -14, 0, 32, 0, 12, 0, 4, 0, -47, 0, -20, 0, 9, 0, 4, 0, -32, 0, -36, 0, 11, 0, -10, 0, -30, 0, -7, 0, 36, 0, -6, 0, -8, 0, 2, 0, 0, 0, -11, 0, -2, 0, -7, 0, 30, 0, -24, 0, -27, 0, 9, 0, 9, 0, -34, 0, 16, 0, 24, 0, -3, 0, -16, 0, 4, 0, -65, 0, -10, 0, 16, 0, -2, 0, 24, 0, 8, 0, -20, 0, 11, 0, 34, 0, 16, 0, -33, 0, -15, 0, 3, 0, -30, 0, 6, 0, -10, 0, -10, 0, 2, 0, 30, 0, -6, 0, 8, 0, 32, 0, 20, 0, 42, 0, 13, 0, 18, 0, -52, 0, 8, 0, 7, 0, 13, 0, -3, 0, -6, 0, -4, 0, -60, 0, -43, 0, 8, 0, -40, 0, 15, 0, -12, 0, -6, 0, -16, 0, 22, 0, -2, 0, -5, 0, 80, 0, 9, 0, 0, 0, 3, 0, -24, 0, 31, 0, 64, 0, 18, 0, -16, 0, -60, 0, -10, 0, 10, 0, 8, 0, 2, 0, 4, 0, -42, 0, 30, 0, 52, 0, 8, 0, -12, 0, 3, 0, 12, 0, 45, 0, 24, 0, -48, 0, 39, 0, 0, 0, -16, 0, 4, 0, -1, 0, 12, 0, 45, 0, 53, 0, -40, 0, -28, 0, -48, 0, 2, 0, -6, 0, 6, 0, -16, 0, -10, 0, -25, 0, 44, 0, -3, 0, -42, 0, -6, 0, 80, 0, 42, 0, 1, 0, 18, 0, 1, 0, -60, 0, 6, 0, -6, 0, -16, 0, 40, 0, 48, 0, -8, 0, -27, 0, 34, 0, -24, 0, -51, 0, 1, 0, -12, 0, 22, 0, -18, 0, -55, 0, 1, 0, -18, 0, -64, 0, -8, 0, 12, 0, -6, 0, -10, 0, -40, 0, -10, 0, -18, 0, -60, 0, 26, 0, 27, 0, -28, 0, 24, 0, -8, 0, -40, 0, -6, 0, 14, 0, -2, 0, 14, 0, 15, 0, -31, 0, -20, 0, -26, 0, 80, 0, -12, 0, -12, 0, -36, 0, 60, 0, -16, 0, -25, 0, -20, 0, 33, 0, -15, 0, 2, 0, -12, 0, 48, 0, 6, 0, 20, 0, 9, 0, 32, 0, 56, 0, 60, 0, 0, 0, -12, 0, -2, 0, 6, 0, 8, 0, -38, 0, -8, 0, 7, 0, 37, 0, -40, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 66427
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '76.2.a.a', 'source_level': 76, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '76.2.a.a', 'target_level': 76, 'twist_class_label': '76.2.a.a', 'twist_class_level': 76, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 66428
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '76.2.a.a', 'source_level': 76, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '304.2.a.a', 'target_level': 304, 'twist_class_label': '76.2.a.a', 'twist_class_level': 76, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 66429
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '76.2.a.a', 'source_level': 76, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '684.2.a.b', 'target_level': 684, 'twist_class_label': '76.2.a.a', 'twist_class_level': 76, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 66430
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '76.2.a.a', 'source_level': 76, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1216.2.a.c', 'target_level': 1216, 'twist_class_label': '76.2.a.a', 'twist_class_level': 76, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 66431
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '76.2.a.a', 'source_level': 76, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1216.2.a.q', 'target_level': 1216, 'twist_class_label': '76.2.a.a', 'twist_class_level': 76, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 66432
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '76.2.a.a', 'source_level': 76, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1444.2.a.a', 'target_level': 1444, 'twist_class_label': '76.2.a.a', 'twist_class_level': 76, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 66433
{'conductor': 19, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '76.2.a.a', 'source_level': 76, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1444.2.e.a', 'target_level': 1444, 'twist_class_label': '76.2.a.a', 'twist_class_level': 76, 'twisting_char_label': '19.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 66434
{'conductor': 19, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '76.2.a.a', 'source_level': 76, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1444.2.e.c', 'target_level': 1444, 'twist_class_label': '76.2.a.a', 'twist_class_level': 76, 'twisting_char_label': '19.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 66435
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '76.2.a.a', 'source_level': 76, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1900.2.a.b', 'target_level': 1900, 'twist_class_label': '76.2.a.a', 'twist_class_level': 76, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 66436
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '76.2.a.a', 'source_level': 76, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1900.2.c.b', 'target_level': 1900, 'twist_class_label': '76.2.a.a', 'twist_class_level': 76, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 66437
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '76.2.a.a', 'source_level': 76, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '2736.2.a.q', 'target_level': 2736, 'twist_class_label': '76.2.a.a', 'twist_class_level': 76, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 66438
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '76.2.a.a', 'source_level': 76, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3724.2.a.a', 'target_level': 3724, 'twist_class_label': '76.2.a.a', 'twist_class_level': 76, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 66439
{'conductor': 76, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '76.2.a.a', 'source_level': 76, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '5776.2.a.p', 'target_level': 5776, 'twist_class_label': '76.2.a.a', 'twist_class_level': 76, 'twisting_char_label': '76.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 66440
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '76.2.a.a', 'source_level': 76, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '7600.2.a.p', 'target_level': 7600, 'twist_class_label': '76.2.a.a', 'twist_class_level': 76, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 66441
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '76.2.a.a', 'source_level': 76, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '9196.2.a.f', 'target_level': 9196, 'twist_class_label': '76.2.a.a', 'twist_class_level': 76, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 239375
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 2}
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id: 239376
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 3}
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id: 239377
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 5}
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id: 239378
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 7}
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id: 239379
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 11}
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id: 239380
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 13}
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id: 239381
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 17}
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id: 239382
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 19}
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id: 239383
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 23}
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id: 239384
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 29}
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id: 239385
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 31}
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id: 239386
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 37}
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id: 239387
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 41}
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id: 239388
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 43}
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id: 239389
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 47}
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id: 239390
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 53}
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id: 239391
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 59}
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id: 239392
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 61}
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id: 239393
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 67}
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id: 239394
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 71}
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id: 239395
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 73}
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id: 239396
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 79}
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id: 239397
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 83}
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id: 239398
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 89}
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id: 239399
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 33554508, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '76.2.a.a', 'level': 76, 'portrait': 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esmEpbaAe2+YBB7LPcEGycMiy3D8bOKiuezcRq2zoZsmBmwfmbIxpkhWzdYtm9UXLzNo6rqHDne5OHnfZ7cH/PssYhEdXjHq1vcdoulqmbYf2ySI6c1p84lzKXgPrhgue7Sef7t+5fZtm6C0+cmObtcYanlsdiSLHcS2t2EQSg4enKRk3MrFz95YOE1e4/N7zxwYv6Om9/0nvCBO//slYbEX+rxN5rBW6022AQQv/TYM4du+dCvfUG+/bpDt/zU3zmjF5bX0+7WWO4ELLZ9Flc0iy3BUithqRWxuJIwtwKHFgWz61b4Dz+0yPW7a5w4O83pc3VOL2jOLlrmFmJOziec68RMTg941eVdbrwIfFklUAFnlyqcWdDMLQl6Q4hjQ8U31CsJUxMxBjg2F9Puwo4NHvXqEGsFCJ9u37B945DFFQ3WSZGVLgxjsFiWWiFb1nt0+gqhLMIMaVY8tm8asNITHDutSYxmpilpVASBB3Es6A0lc0uSM4uWs8sxQTAAL+amS7rccqlgtlllcbnJibMBpxfg7ELM2aWYU0twaNFy7SUL/MIPLbNxssnxuWnmFqvML/sstCRLKwlL7YjlVsJy17DcE5zrCs4u9fnP/3QYf89rmw960x8wlYndDyaJ/TnfV9RqjVcaKi/7+BsbZP7L//Y5JiaanJ5b+MWv333vz3z5rseD06fbfPIb8JZrEq7YuYyUYKwgMYIkERijsVbhjBUQIkEIy+HFKf7DHwl+8UfPcvV5IY3qNPVqg2YtoFHzmGwqzi4q5pY1dz9U4SsPxFy4rcdF58csLfe5eNuQ73+rIYoVAsuXHq5wrlWhmgw5ekbR7Ta44oKEc+2Yvfs8dm+THDgNN+2BVgdCowl0yLo67D9VpVaNCFTMREOw0oEbLu5w6GTA7h2GI6eHvHDI/T5v24BDZy0TjSFL7ZAv313DCkWSJNx6VY+br7bMrXhcvWvArs0ecdSk16+y93CFuQXB/HLCueWYs0uG40uCs92Qq3Yv8u9+sMtsc4pjZyY5u1hlfiVl7lZCqxPR7ia0+pZWT3C2pzjXirnmomVuuailu23z2pNHPkdj9qabL73iFlOrTf7r5eMfY2r7P3ilIbPm428kg3/k45/hA2+eVf/8Eyf/3ZlTc/964fRR1e0Nme9qjrbgom3n+G8/cZarzq8xtzTFUqvGUsstsUttzXIHx0DtmKVOzEILTiwLdHXAzZcu8b2vDTlvfZ2VbpNzS1Xml3wWWoKllpMIyx1Du29oDy29QcxMM2L7BgMIAs9y8pyHkAE71ivO22zZvL7H2eUhzxxocM2Fllp1mecPTtOoh4Shx8yUoT+Ai7cP+OQ3J9mzLWY4tKybkERJn0Yl4IWjA6penat2xzx7OOTsos+WmYDzNsH2jSFKRZxcAN+zCGHZsSFmqiHp9AO6PY92z2OprVhagcWWYamVsNBKmGvB4iBh+5Yu33vrAjdfpKl4Tc4sNFlYrrCwollqC5ZbhpVOxHInYaVjWezCXFdydsVw/UVz/PKPLbFrU4O5xUnml6sgKuzcsT5pNNf/4h1PvOsXrt71UHLVjd/9SkNn1eNvFMD379tPpVqpzp0+tf2BR59937Mvnf6Pe/efxPcUiYHOUDDXlZxsJ1xz3ln+608scsX5Vc4tT7G4UmO5XWGp7bHc1iy3odUxrHRiljsxS23L2ZbgdNeC6HLbq1u8/XrD+ZsqhGGN5VaFla5Pq6NY7go6PcFgaAljS5KAkpbAg2pgmWxa1k9HaG/AoTMhzx0MMHGdt94Qor0Vntg7wc5N8NVHY159WcC5Vp+KVsRJxPQUxJGH9mIWF2u86uo2X32owXmb4PEDQzxqvOV6Qyz6PHco4cjJClr6bJjSTNUF1UDg+wIlIDYQRpZBCJ2eZaVr6PQMKz3DYtfSTxJ2bO3x9htb3HZLCKbB4soE55aqLGZk0IKVTkKrG7PSSVjpWpZ6cKatmG8nXLv7LL/yE/NcvL3K/NIUy+0anb5PHAsgwqtsJxLb/s3Eukv+bNu2LccHg0F/9+7drzSU8sffGIAfP3aA2dlZ/+CBgz+yf//B33r4safEmXMd2R9YhpFlEFm6Q2j1Bed6itOdiOsvOMevfHCRqy+osLAyyeJKneV2wErHZ7mjWekIWh1Lq5uw0olpdQ3LXcu5juBMyzA12eNN13a46aKYHRsUzapHu1Mh8CSgCGOJMQJjoTcAhGGqMeDAKYuxIXc9XmfYq3LBFp+bL+8RmRXue3KSqy70ODDXpbXc5MbLe9z9RMCGacveY5Z//O42e48GbJiWfP1Jxc0XK5Z6bQ6fmOaq3SH3PdcnHta46RKfXdsG9OMudz6hIBEcOqlp1jRaQK8vU3lmiWJAGrRvaHUt9UbEtk1Dbrm4x5uuiZmpVzi7NMHiSpXltjs3y21BqwutTkyrG9PqJrR6lqWeZK4jWOjE3LBnnv/4wXmuOK/CwvIkK50ara5Pr+9szWEoafck3WHV7Dj/Mrtz5wU/ef6uXb+/uLAQXnTR3wyQ/40AuLVDaeLeO4/v+9wFh09WPvzQw0947Z6g2zf0Bgm9gaE/tPSHhs5A0BoIzvUkp1sxN118jl/64DzX7PJZaU8wv9yg1a2w0vFZ6WpaHUWrB52upd2LaXcTun1Dq2eZ7wrmuxAlQ664sM/G6YRuz/K2G4fs3GiIE4mWljCCe5+pcPxchU1TMc8fqoCpcdFWxdV7DEGlxxMHeswv1Ll0Z53m5DIPPetx3YUVFnsrLC832bjR8uhexQ++vstjezVb13ssdFssL01z9cU9Hno+Ybo6yaUXdDnXavHoi5NUdZ1r91h2bx+A7PLMEcH66Yiz8xH3PeMxiBRSQmIsOzeFvOnGkE5XsXnKcPWFEIa1VL4FrHQ92j1Fqytpd6Hdc05Jp5fQ7hlWepalvuRUW9DqD7l59zy/8IFlrr3Q3RytTpV2L6DT8+gONL2BpDeQdPvSMX874rIrro1OtfS//Ec/8q6Dk83ql+uBNq80tl7xINPas1i78EOD5Yd/tbP84vT86YTJpkYIiRASKQRSxChpkFIghNOgUlik1Dy2fwM/91HNu29e4vtev8R5W0LmFpsEfpVq4FMLPOpVTacqafQ9Juqa3iCh20/YMHQ3TmcQsDRf4eQJSxgbTs3FBIEFBL6yaCno9RUCj7inuXKnYNdmy/YtPYZJh689pnjp4BRvvibg6ouX+cTXLL6osXNLj2cfUmyZVKxr9qioKmHkca4D9Ypm6wbB0y+FXL27ymuvWuDjt/fxvQZvvMHiBT2+8WjIVx+p8+KRKudvrrFzU8LsVMh56yIu25mglEErC1hqQcDsZEAYeXR6Ps8fSIHYV3QHkm4fugNLt+c+e6ef0O1b2n3LSh/me4qzy5baRIufeus8f/fmIVecX+fMQpNWt0InB7ei21cO3ANBt2/pDSy9oeWOux/xemr2V9dtfGTp777xqp85cXbp49s2vLI1La8owNvdAd2e+MDc8bt+abDw1emlxQhfN6kFijixGCsABQKETBACpDBIYVHSomSCLyXPHpjlqf11Dpw+x7tv6XLLJQMmG02WWjXq7QrNvk+3p+mkF7s/0PSGmsHQMggNYWSJIkucuCOMfawBqQSeFlR8wWRDMNWAjesMWzf0WDfV4o4n4P6nPKSZ4M3XeFx5UYcHXowIB01uvlLQ6vc5t1jnpt2GdZM9qjpgECvm2xHKCK7crak1hjy5r8Jrrp7gxis6PLlPgZ3gmkt8fvQdS9z9dMjXH6uz93iF7bOKjdNVpho1JhpQDcDTFiXBWNh7xLlJUSwIYxhGuM84TOgPDYOhoTcw9IaGbh/aQ5jvSs51YGgGvOGqJd55S4sfeKMhjpvMLdRpdyt0+j7dvkc3PX+9vqQ3FHQHln4/oTeIGYZOSp49e4ZPfuor0xtr4X9+7995gw4H/Y/6ler/eQDvtFdQIvnRF59/+JeOvPTg+pov0aqGFBD4hmoCxkiwAiEUUgqkACUFShqUsmhl8ZSh6gkWelU+9c2tfOOpNq++bIX3v2GFy87rMjNZY3GlRqcf0Ot7KbCVO0LBMJJEsSCO3VKfWYxKWrSGig+1qmG6EbFlfY+YLgdORfzpfRUOn6gzGVS57hLNTZe3eXR/i7sebnLDhRW2b+rxyW8KlAhoNiJWukOMBSVgttmj3fExcZV3vvocn/pqjV1nK7z9hh5htMh9z80QJRWuv2Q9b7+uzYXbWnzjyR7PnqjxzBGfrdOS6aagFgh8z92EUoAQFmPBGEsUpzdrlMYwoWEQQj+EzkCwPBQsdUDoAVftWeH9b1rh1ZckzDSrLLdrtDpVOr2A7sCj2y9Wgv5Q0BsIJxkHCf1BwnDoSAJguq4wpsNdd96zfrKmf+nW19xil5aWf296eur/DIA/9/gvs3vHLnrLn/vhs8vJh88dP7ROixWkVIBFKUvgGZIErBUIQEiBlBIpNUolKCXS5dngKUugLVUtWB4oFltTfPreOo883+XmK1Z4/xtXuGpXi5mkShwH9AYVun2P/lATRooolsSJJDECY4XLggpL4BtqlZjAD/G9IacWh9z+uOTgSZ8jJ6dQJmDXJp+Lz1Ncc1EbFczz3KEGWyZrXHo+bJxdZqnd5LItkthY7ngsYNiTTNZj3nL9gC/fF3F8rsGeCzzOrAx44bDHtg1TXHHePA882+GhFwTD0Oei86a5aFvARVs7HDqzxMFT8NhLNQ4crlPTgkBL6oGl4oGULqiy1t2scQJhDGEi6A4F7YGgHUFoYowdcO2Fbd7/pjavvixh03TAYDDBYqtCpxvQHfj0+pruQNEbKPpDQX8g6Q9J46GE4TChP0wYhO5GShKwgFKK46dX+KNPf2P9Q8/NfTjxGvHP/tc7P1EL9vHvfuof/+0F+Pf99P/gsmu/xje+zg+cP3v010W4MLmuUSeqaowRJEYiJGDdiULgdLiUKXMrtBJoZdAqwdMCXxt8zxJ4lpqfMFkRdIYey+0pPnt/k28+M2DDVI/33driom0DBv0ul55n2bZRMYw8kkSRpGl+gUVKg6cTjp21HJkTrPQNX3ygxqmFKWzoMVVRbJ7R7NioOX8LXLqrjZEL/O6X6ywtTXDDRZpLd7X4xjMCEXusn5LUazG9yEdaCVaitE9rIDi7JLjE1rj1mg4PPlll8zqfGy6d5h+8Y4Hf/2qHx/bV6Q48FlcanLe5yp5NPa7f3eG7X9Ph9NISX3wgYLEXcOyMx6lTPp5yRCAQGGtJDETGksSGqZmIyy/pMRxGXLRtyHtuHbJ+QjHdCIiiCmfmK/T6Pr2hW+X6ObAda/eHgsEQtxIME3eEhkFo3RFZhjFuNbRgjOLUwRZ3P/PIuqsvn/n1d79lKvqHP7j1j230HxHev/nbB/AP/sIn+dGf/gHxzp+Q763y4kd+5C3P115/dQ0hLL1BQBRrolgRRk5jC2mRQqWyBAdyJdBKOpBrgacTfC3wPUPFs1QjSy20TFQSpqqCXijphHWOnKzzK388DSZGxDHXXN7jvI0hcQzGGqx1SRwpBFIJtOez77jP3oMV6hVNw5esqwlmZyTrpzWbZxU7NiXs2bFCIhb5jc83OXZ8kht2e1y0M6Efd3j4uYDJqsfMhGWyEVKrOilkjKQ1UCx1LYuthFa3yqsuXeHxvT1eOq6YbFa4/pJJPvjORX7zC/DkwTrdvmWlozm71GTjuhrrpwbsmBnwz9/bo1lr8ewR2HdC4nluBRTC5CxhLcQx7NyYcPNlMUnkEcUB1tYYhB5zCz79oVvRBqHK5Vs/FAyGgkHoWHsYWgahkyPD0DCITPq9DOAwjATDdMUYxIKVSLDUijD9pydfe9nUR2y0Eu+75599undmwtY2/dO/PQD///zqn3D1edPqD/7bJ25bWF76xMOPLVY63Sbb13e4YKsh6NXoDwKGkYdWOg0g3SGlRSmFUhZPSTztNKfvKYaeZBgagjBhGFmqkWEYGcLQ0oxhGBl3wmPBIJIMk4AoqfDSwTrPvASJtThoO23sSfCVq/loBHDpJmhWYaIumWooZiY166dh+8Yhm2ZXiOwSv/H5CQ4dnuDq8xXnb5Xs2rrMPS/EnF2c4JrzJFNNQ8XvE8gAqwRxIhHWEichy90KZxc9rr6oypW7OzzwZIUNU4JapcHVuw0/ddsiv/4FwwunGqx0DSsdxfyyZt1knalmlanmBM1axGw9YsfVIYEX4+kYpRKkcJrY4m6qKFKcm3ck4ohEMYzS51AyjCTDUDIIJcNQuAA1FC54DN15HYYJYVjkJYaprh9EgkHknvuxoB0L2iEMBkOu3LnIT71vifMbc7WV441PTO78hDly+qrPH33hD5Kdl/7Qdz7A/+zPPs26qYraf/TcezrzZz5+6PCpSmVyhq89GuApwS98sMWeLTGertIbVNDKRyuDUgaVgt1TFk8rPG3xQonvCXcRPMHQV4SRA3oUWcI4ca5IXDoSiBNLkhgSg9PbhhzcIl0ltATPg0ALKoGgFkjqNcVETTI1IVg/HbNjY49GfYXPPxhy33PTrCw0uXy7Yscmjwu3DUjECnc8VqPuaWanFI3agOcOwYuHNZdts/SGiisujLh8l2XuTML8sk9/UOOt13X41rN9DpxS1KuSwG9y2fmGX/jhRe59oc+X713HYtuyY33Ccksz2VRM1D0aNY961VIJDIFvCHSCVk5qSemugbW4hJURxEYSJ4I4FkSxJIwFUSQZRs55CSNBGFnCEIZRQhgZwhJxDKPykYI6gn4k6EaSdgyd0EDU5+ptS/z7DyzwlmsFy+1ZVtpnKr1k4x+uDE/+/fZg42fu+Mrnk7d+123f2QAfDI08dqr1fYvzZ3773KkjlR2TirmeZJ4GX3pYEoaK77m1zXtf12a6GdHpV1OQJ3jaw9MJntZ4kSbQioGXso0nCX1BGAl3cSJFFEMYSecgxIXtFycuaDXGktjUKckLsgRSOndGa4GvBYEvqQSSelXQrFkmG4YN00NmpzrEdoVPf0vy+1+dYX2lwuXbBds3eezcbNixaZnPP2xZWqpw0UbFVBMatYizRyXnlgP889wyPjshmZyEA0csy23D3EKFC3dWeP01HW6/v8JMAwLfR8lJLtsl+LG3n8OT5/jSA1O8eKrChnbE+smYibqiUVXUqpJqoAl8CDzQ2jlMUoAUJZDjbuzEQJII4oQU6BAlljCGKEocKUSGMHuODGEEwzhzZVILMnaM3YsE7UjSiQzDYUTT7/C937XAe1/b5fVXKpZbTVrdOsvtOqfOzlW6SeMjGzZK7Wn1Jzie+c4E+L5nvkQcmx/+4l17/+u+A8ebnlYEnmXCM8RGskiNOx7fyMPPV5hbXuAff3eX6WbEIKjS7iYpuB3I/TAh9DR+pBhGktBzqXTHOMIxUcpKcQxRAkninARjXMBljM16OFNwO4A7bS/wtANIJYBaxdCoxkw2YmYn+6ybWuHBl0L+8K4q+45MsnPCY9dG2LrRZ+sG2LO9TS9u8+jeJlXlMTulmGzAZGPI1ESM72uEcDdXf+iz1I5Y6Vla3Zhzyz7bNza48aJz3PVYj32nmtSCCE/5CDHBri2Kv/fGBa7dc44/vKvBo89PstjVrG/GTNZiahVJtaIIPEHgSTzPxSpKkdqHDuUW18NqDDnQ48Skq1tqLcaGOHHgjiMIY1sckXNlBrEjlV4s6MaCdgz9foyJB8xU2/zk9yzy//6+HhU/YKXVoNuvupbBSINQrCwdb0aJ+Y3E2+N/5OO3//4H//47vvMAfvhkByHkB556+DO/tPfg8ZnljiVKLEpAoC3NxJJYQatZpTWQ/Nc/89h7aJl3vqbLrVd12LBuSLtTZTAM8D2PwPcYhpogcvZe6DuAR5EkjN2yG8Wpp52QWn+kzC0xlgLcLkmZMjdo5RImvmep+IZqJaZRiZlqDtm0rs3ZVo/f+qLHHY9Ps7Rc54JZwfb1gi3rfbauF5y3eYD2V/jUfZrDJ+rs3iCZakgm6glSDjk1bwm0RApnfYaRZsf6No+R0O4pltuWs0tVdm+t8N23tvjMN3yOng3wdIQQHsbWiWLJNects+P729zxZI9P3jHNE0frbJkSrKsn1CsJFV8QeALfc7GKVrjAWYq8JsPibjJjcU5L4gCfgTxOnKRzYIcwcbUuYZY8igX9GDqxpBtDPzTEvZCt69q89ppl3vWaHm+9xqBFnaWVKoNhhWHoEcYKY5whsH5asNA6NrNxx/SHv/u296gP/PDyR4WY+s4BeL9/Ds+L/8H9j9z9S7/9mefWd84ZJipumRQCPAVVz2IBiaAlAtpDzafuCbj32Q5XX9Tm+9/gquBmJgP6g4D+0CfwPMLYI4x0HijFsSJKJHEsiRJBHEuSJK0Rz7S2EeSqJH0PUoBSNg1eDb5nCPyEahDTqA5ZN9mlH/X5xnOWP71ngkefn2TK97hsi2XTtGTDjM/mWcnWDSHnb1nm2aN9vvitWSaUZnZC0KwLmrWIVi/hqw9XaPgWIRyw+kPNO28e8pVHXE1Mq2s4t6zZur7Bu2/p8uhLHfYe8KkHMUoKB3JTYxA6rf/3Xt9i96ZzfOreNg+9OMnx5Sobm4KJiqXmGyra4HuglUgdqIzJISs/MqlUM6ZY4eIU6I4gIEoEUZICO3VGerGgm+BinjCkXu3xvW9e4vve2Oaa3Qkbpj16vQYrnYBh6DOMfAahRxS7On1PGyYbls2zffzqg+vvub/xS9dd+1aztHLuY9OT6/9mA3xlZYVTc136/eCHPvpn9/+XP/rCfTNzZwasq7nUu0pPtKeKjKEUFk8KOlLR9eqcbAecfqTGI891+czlHd7z+j5vuXnA9KRPOAwYxh5h5DlbMQV6nCjiJE3YJAXAjU2Z2xQ1Za6WBZR0dRxaG3wvIfAjqkFIo9onoc/dT0r++JuTPH9kAhEF7JyybJq0rJtUzE77bFwn2TwbsX1jmxPzHX7ny3XiYZWtWwWTDU2zDs1ahPBC2v06kw2LEAJrIYol04EiNjGdyKfTS1huK07NV7nk/AY//ndW+PCfBBybr6NVlN4YmjiuMAglG2cCrrmgzeXnd3nh2Cn+9J4qdz0xyelWlXqgaPhQ9yy+tngKtHTnXojR6joDWONuusQIEgtxIpx/ngjCxFl+/UTQT6AfW+I4xkRDZip93vqGFd73hg6vvixmoqoJ4zpLKwFh5BOGHsPIkdEw0sQpgwMuQaclVdWmyhfXm5b4L7Wpt8Vh9/gfRHaSeuOvb37iXyvA+/0+2zfX3/WN+x77za9+5Z5mf3HAxqYkSE+0yFgkPdGuYMrJBE9CRQm6yqcXa84NK3zpkTr3Pd/j+q93+Sff0+Hi7W3WTyqaNe1OYuwRxwXIkwzgRmKsxFrSPs0M3K6WxaX5DVrHBH6Mp0La/Yj5dsR//3yFI+emeHLvJNb4zFQF69dZ1k0IZpqKmUmPDTOSjTMxW2Z7zEwuc8dThidenOTyrYKphqRRkzRrhno1RHhDgkCj089vLSSJpD/U9AcRsRF0+oZO17LU9phbbHLTni43XrLCp75eobqk0DJygLSaOPEJI9fjuW6ywrW7ulx7QZfHXnuaY/OSP7xrknMrNU4uBvhKUvcEfibDpAs8cyLPpAqOyWMriA1ERjBMYBBDaCwkMcQRUg3ZPNXn8h3uelx3cUKzqonjOq2OY+so1o6AMimZ2pJxmjF20kjQ7XtEyQSeinj2yYdm1u+Y/c1N269bjqPeF/86MfnXBvD9+w+wceNG9alP/ekFzzy3r+nbFjvWK5IkBXTphCpjUcKxipICLS2+tASJoKoEfS3o6YB+4rEYVrnriQkefLFPPRjy99/WYutMzM7NfW66tIMWikZNI4STKy4r6WqlrS0xNy55pITzzC0xyJgXjkgef0lz+6MNXjjeIIxrNLRitmqZrlumatb54E3N9IRmZlKwcTpm82yfTbPL3Pf8kN+9fT2bJjWzTWjWFc26oFGLqQZDHtyvGIQar+7Og7WCMJZUtOKq3X0eeW7SFT71E1baHgsrAWcXpvjxt5/l5MIijzw9iycBEWGAOAXQMJR0+5qpRoXJZp0bd/d47eU9vv9187x0wvCVRys8+lKV/YfrxEIzHCp6kUIJiRBiLPBMcwLWEBuLNQZPJEz4IRUibry6y3mbBmxdF/H+twyp+pJ61SMMa7Q6PmHkEccqJRwH6uw5imS+usZJcU2GSMRAk5gqnW7EodMPN2ePLFzwXe/8HnXs6KFkx85df3MAvnfvi0zPTPlPPPH4jyRJ/F9bK0tMNT2GkdN01th8OUwMJNZpQ6UsKrHoGCIl0IkliC2VRFDTKYskHv3Eo5dU6HQS/sunprBxxIbZAZdsHzAzEfOe1/fZvj4kikSqt12RVm6YpDeYlAYhBZ+9t8qzh+oIrTl2usapszUqVcVEIJisW5oVQ7MCjapgoqZoNhRTDc3MJKybjNkwM2DL+jaJXeGz32rS79a5cKulWVM0apJG1dCoxHheyB2PVBj2JN56kCmYolhSryreen2f+58ydIeSbj+h3dOsdDRzizUuPq/Be17d5skXahxbaqCkAaJUL3tEiXOTBqGkO9C0uj6Nao16dcjFWwfcsGfAiXMtjp5ZQXsJzxzWfOaeGkIpB24hRy+iNYABa4nChB0bYt73+j7rmgl7dlg2zEASewzDBnHssdz2iCNFlBQraBSlz3FR4xOlBkCSHVZg0yYSYwRxItJSgCUmpqP/+vRTT/R27Nj5+/v37Q1377n4bwbAT548yfz8/O7Tp0/91tNPPyE9T1ATGq0NcWxJjE1tqcKuixXoRJDI7LXFSyBWgiCxVIwlTgShsYSJYGgkw0QSGo/IwHy3yT3PGiwJf/6oG9mANemRZfFSi0y4ikQhJFIp4kgjjcbTkkYA581a6p6hFhhqAdQCQb0qaVSdHJpoSKaaMDMRMzs1ZPNsh4Rl/vvnKjzw3Hp2zcBULWXvmqRRjalVQ+q1PtVqjUBJlEw1OE4ORJHHoC/oDxM6Q0V3YOj0jWuZq/ucPDvBqy4Z8lPvPcuvfkZzfCVACIO1ESaxRLFHGEkGQ1fG2uhr6hWfWrVCLahRCSIa1ZBrLgzxvYjrLox5/xt6aBWnSSCDEHZUlKeSzhhXix94CvAZDDWLy9rV7SRZzJMesSxioFjmUiRKsoRSCvC0MbxItKVaP7Uch6Hl0ccek8bK3xoMBt8aDgfP/3Vg8/8xwO/82hdp1r3q4SOHbtu//4DwdFraKg1KCmLllj2TZAC3JMaxdaIyL9YBPE6KmyBOBLGxRWRvnD50hyA0kthKEqOJTECS2l7lR56lFKCFcJlKBZWqpaItFZUQeBBoqPiWaiCo+pJaVVKraAfwumCyYZhuxsxMDlk/3WXz+kV+93bDJ+/awLZJxbqGoVlXNGqKeg1q1YRGNeLMouHQmYCK78pvIav0EwxCzXkbDRvXDWgPfPoDm7K4ZKWjaVQrNGqTvP8N5zh8Zo6PfHELWmoshsQkxMYSxZphqOiHriiqV5HUBppq4FENElodF2P4XppT8BK0dI0SUrp0ftZA4kpXXIDkQC5ombTK0ri4JkkkxkhiU8Q7cSJKAb4gSVI3KymYO2fwFNRJ4s5BnJDmLpwNaYzg6WeeFa1O77Zt23Yc+tznP9//7ttue2UBLpT2z56b/9mVpXM/q0QoqxWXaFFKEivhjtRjLQBuMSmAk8QFQMUHJ/2+Te/27LDF3Z9WymUBSxYolTU3kGbyXGClpUFL0hpy8JTA09b5xlpQCSQVX1INFNWKolGVNGqWiXrCZCNmujlk3VSP7RsWeXT/kE/du5mpSsCGhqFZEw7cVUm9YqhXYhq1IY/ug2deqnHBrE11b5E27w8V1+2xXLi9z2PPT9JL66u7fZ2C3KNWqVKtTPK9r1nimf3neGTvRrAKYxJXDhtb4sjm9ST9oaY2sFQriopvCHyPwE8ItEHrBE+bogwirfORwoKwCAo9VwTnroTYZI6UyUBasmJTYMep3Mh/lpAzd5yBPLvG6WsHcPLa9TiG3qArT5488+9q1ZrfaDR+EQhfMYAPB305HPZ//u47/uRn+p3Tfr2iXZJAgYoFkRQuiExsClrjgJpYjAJtysAX6c+yJSyTMzh2TkFu0kxclqyw1lLKvI+suFmqOnNqlEwzlopS0ZbL/gW+ohIoqoGgVhU0qpZmLWGiHjPZGDIz0Wfz7DKP7Ovz8x/fwPGTk5y/zjBZg2ZVUa8q6hWoVxKqlQjfG9AaWJRUeMoiZfHO3EWXRLFPsxrRiw29tM66N0jo9CStqqLWCagEDXZujPiFH2nx7z8heXjvBiwKYw1JYoiTmDA2hJFiECr6gaQ6VFR8SeBbAl8RaIPnOb9fK5vW+aSFbKlMEcKONuimqX2bkojNZIUVOdBzwCc4YBtKwKckTQrGzkAeJ47I4tgNU4piJ2ejxHDw8Alf6uq//LEf/Xter9f7N7Va7a+czv8rA9zaJazt/eL88Tt/OrAHKhumXVZrGLm9ZFz9NimDC1Ri0w9vMWU2T2wKZrsK2Cb3aHGBqnVerR07GAN4ZkeKDNxZJ5Byq4VOW9E8LQl8ie8pKoEbyVANLPWKoVFLaNYiJhoh080+m2dXeOSlHv/+99ex7/g0O6adw9KoSuo16di7aqlVEmqViCgJ+aOvN5BK4UmXwc0Z3GZLuMffe/Mydz4R0gkDeinAu31Fp6toBZqKHxB4TfZsi/mPP7rIv/19wUPPb8BYSWJcWj2KXaHZMDQMK67cNQgEFU8Q+C6z6WubZ2y1MkiV5SWcVZsDvEh5AimJ4HIJzm1JA/l0NU2ygHFEgohi5R15XQa4zcsEHMBtWvPixmA88Pjhimzc98++/3veKI6f7fzc9g1/telZf2WA7z/wIlhzY3/uzup002JsA9nNWLNoL4sSUIlj9ESJUVAnFqNsLkFMiaHd6/TZpCxibcra5E0Rdux9ZQDPajCyTF7G3lpndScSz5OufsMXVAI386QWJNSrDtzNeshks8/sZItHX+rx8x+b5oVj69g6JZipl6RJRVOvuPqVaiWmGoR43pBTi1N4yrXYiTQBkAWZSSKJY8WmKUscR7SjCv2hZTA09AcJnYGk2lNUfA/fq+DpCS7aGvMf/8E8/+r34JEX15MY6QCeWKI4SZncMAwMlVAy8FUuwTwPPO0kmqtTsWhJKlNI6++Lc1gmDWvTTLBJWT2Th2lyKMsWJ0np+2V5mQO7uNZJXK6BcQAfRu7zdwaWMyshX7v//uqbX7PpRinlX4jHv1aAr5y4nYmtQe0H/smf+rfduMBlOyboD2PiWKaNwjJtNQMZZ163CxCTxAE9Y+oM7KPAzmSIzYFuMzmSvX6Z9yZFUUQlJchMJimBkjJtlMjkCVS8tAe0YqkGTj/XqhHNWshkvc+6qRZPHBjwbz86xXPHZtk8qZitGyaqgkZFUqsoalVBteJuDpfqD3lkr6A78KmorGFD5LmALNCMYk29orjp0g6PvtCkFxXtYL2+ohMoAl/he36qnye5eJvhlz94jg/9L3ho73oiI4mMSZulix7MoS8JfOPY2yvq6LXKDlKZUsg4mWZ51wJ5lsOwGcBTwCe581IUcJVXXpMUzllSlqRJqdozdtMMsjrzfgi9SLKzfpbBuT/0v/TET9X+2+/c2ft//cRb/vcDfO7cQZjYPrnvmT/9nZ++bek1G5puCpSUFk8bfC/1n4VExhAJgZKWWIIyAqMc0E26dBktCpYus3YJ0CYHdpHiJ9Xe+cUQIr+phBB5kZHKAQ4qrRj0NPgerhPITwusgoRqKi8a1SETjT5TjTZPHxzybz86xTNH17NxUjNbM0xUoV4R1KuKWlVRy9k7oRLENGoD7nvGZ6VVYWqqSJNngDGpZRYlivUzijdc2eW+x43roglNCeSSiiepeBpP+2hdRUrDxdssv/TBc3zof1ke2reeyGiitALQlb06Jg8imVcX+lqidVqEJQVKi1xGZu8vuwkzqSKyqjSKhND4YUrPxpSex1bkDNgZ0B17F1LF1e47bW6sc73ue6pJe1B/zd959dO/9zM//u6feNdbD67sPv+C/70AP3B4Ds9b+tAd39j/fdfvOMNsrUEYabBuudPKYLQATDrbxAVYSmX6G7QRJKqss1Owp8mZjL1HAslx5k6RnmXkcu0tswq6QndnFYNa4eoztMXzXGNxxTdU/IRqJaZWiahXhjRqA6YnWjy5f8jP/q91PH14A+snPdbXEiZqNgV3yt4VSTVw7F8JYmpBSGyGdMIAoSRexuC5Bhcpu6UFYpFH3R+4coGwwlQG8kFCz3cMHvjS1cTrbANay2U7LR/+ibP8i982PPTSBiKjGSaCMDEpiwsqkSHwLL7neld1Gndo5a6HkjI9P2lXfvZcKszKb8xyrDMG7pyESsTkau/T2MmMsnieEymxeBQXUgagoi0NrVlemWfT5PPf99JLFx6K4/Bf/W9l8G7rOLXm5h3/66Mfv/zhx3tsqq5jdlIyDDVJ2rSrJGhtAIkQBpnq4DyIVIwGkaYIHBNTPmGixBRFVtKW18yMtctBZbbcph06SmXvKe0MSouQsurBipekujmiWhky1ewxUe/wyN6Yn/vddTx1eAOzE5rZasJExdJIwV2tODsxA3c1SKj4Mc16yN6jlnufrONLiadMGsQVHkW2fEeJIjaaW6+JuOD8LoeOV5mtUfQ5DhN6g5SFtUJrL2/lE8Jy6Q745R9b4F/9L8O3XphlEFVdMiy21NIa7sDDgVxnq5dJJYpEqiRf4ZQUJYCLEshZpVcKkNtRgJfAnX1vXHYWQKckV1L5atwfUMJJxxkS9mz0mFbLvPT8M5ff/Pof3rHvwIljey7c9tcPcGuOgKjunD/9wK9tmlx512svtVT1NAvLEVqZojpQWjQgMKkOFiTS+alJOszHpLXg5SVtHNRldljFII5bUgYfA7ewSJXZgg4MWqWsrS2+NnieIfAMgR9T8WMqQUitMmR6osdyp8f9z8Mv//FGnj24jnUpuCerlkZVUK+I3Ct3zotx7O07gFeDIWGSMOhXqCh3k0lRWvrJNKtIA03ttLweMgwt/UiUAG7w/QTf03ieRCuFkl4OcARccZ7gl39imf/yJzEPvTTD6VaTQV0ymVgasaWSThwIPJt6/5mTYnP2zqRKBvD8/aZvuozzXCGmF6VYWW0RfJbBXpYsI/KlnNsgZ3anBNxNWa8Ag4Av3SOZ3bj4rrj6SHLlVVf8s8dfPH30uks2//UC/OlnThL41RsO7Dt424EDR5hsVhHCMoxkDmwpAJnnwxBSoozNAW7S4NIokd7RIl3asoSNzWXIWuAeV4XZRXDjHjL2zioUbWk4kCuL9bRJx0wkObgDPwX3dJf55T6/9Ec1vvjwLAvdKWYnJLOVFNwVp7traWBZDSS1wKYM7rR3JQiBkG8+7bMc+cwEjNRjI0ZXqCRxzQ/NQPP6q3s8si+kEwVM5B3rBn/oatV97QCulUVJDyFdggYLF22T/Oo/afOVR/r84sc2cHJhiv6kZtIXNGJDLYYgcqOXfeUGGnlZoClFHgRnz+VAvXxjCpH3ihQsnl+rEthLbld2TZPcNChILbGlbqs8iE2bwJXrrrLW0B/CieOHueCCjbfF7eYfMegf/Wtl8G63R61WvfBbDzz0Tx967BCNSpBquizqzlK+pINz0gDPJBgpMdIWGbEczOSTW21qARbMLUZZuyxLWF1yK4TNXQCVAVxZtHTAdvXHbt6J7yX4XkzFjwj8iEa1j9Y97nsm4fe+2uT2B9YTmibrm4J1FSdLnAWY+eQqPUTK3GX2jtB6yIMvTtILNZtq2fsZZ/DMSpNEsaLiKW68uE9sHMD7kXBd61nn+tC44FCLlMXdjSzS5LpFsG5S8H2v69IITvOxr/a5/8UZ5qIqvYqkGVvq2jqQ6zQOUTaNS2wK8uwciqJ2XKZ+mChinNErUYA8C/rLK2/5muYrtUmlyxqBaXazlM+T6zCyzExoFk7tJ7589z+99uobnxoM+gcqf4mRcH8hwNvLx3jxuXto1JubeyuHX7thokOzoalVnH51ms5lxYTI5p6JvNEg12F5ylfkjD0iSyi0dgHskvVQtq+ymymXJllWjrQGhnzyVcbcnnK1GIEX4fsRFS+kVhvg+z3++C7Nr/zBeg7NT+MFFTY2BNNBQjOw1AOopx321cBlOytpQsjVryTpSuDkyUI7oRv6+Erhy6LJg9JHyW7wJK3ZCGOPqjdg42SflV6DfiTScWsuVvC8JLX5VGp3qvR8lwNXV/n4rld3ue6SeX75Dwd88o5ZluI6vcCj7kma2tXgBBp8Rd4MobOkT7ryyVyqFAmgMqmMipW12Jw1wE5Jm48embTJ12nhdq5xf9cF1UttS2vvApWJF1576uxgc6vdPrDvwHH2XLj9/yGD24Qrrrxh58Lc3t+Vw2fZsTlJpz+ly74y6eRXO3qH24Kdc6Y2aX1D6qUW/yb1V3Nwl0pdSw+BLdhEZh++BHBp8/dSMHeSgjzG106SBP6QwOtz9GzMR75S5wvfmuHw2SmaNY/pCkwFCY3Apqn3DNwyBbfMk0KVVHsHvrtxmvUhn39Qc+BYlUo6gStvF6NAeT7GwabFSbHmoh3wjus6/N7XZujWNM3UEw7CNG5QBq1lOraOEsi90kl3q8L2dZKf+8Eel593kv91+zSH5yZYiqv0PE1dCWop0H1p3Y2Tukz56ped18w+xOnzItNpV/vkZAk4mwPdjIN+DNDGFje8HQO4FAXLx4mhH1qMMdx57wts37nnd1/9qlvetrzc/gulyrcFuLV9oMKwdc9WHT++a6ZxilpQJ0myAC+bpOTusvKHLthY5ODNeyMzJh9j73y5y1kho207ogMzYBdjlDOAm9Q1ydg7wdOx69zRMUEwxNdDOknIb33a52Nf2cipxUmMqjI9oZj2LRO+oZYydy1P38u0TiWVJql3noPbd9nLYRRy4GRANwyYClIXJ0s6lZo+ysmeOJFEkaZZ15y3NUQFAzphg74vqEaWYQZwnaSJGuV8bJmVAK8VvCpmJ3r8+Lt63HbrHB/7SpuPfHaGhX6dvq5Q0YqaFlSVq7/3026fLCGXlTdkcdUqJmdUruTgXovNGQP3CKkx8roY5VGcszAuVsDESBbnOnzp3ud3hait3/O2m44O+j0q1dpfEeDRCVCTs54nPl3la97M5ATdgUgbSMf6HEsaYiSVbsfAnH9dtv9EDui1M5S2ZAeWbqgR9s6GBSUO4DpBqwTfi6j4Ib4X0hqEPPis5I/vavLZb80wSBr4vs+ML5j0DXXfUgssNb8AdyWQBIEkSKWJSwylzkQKcN9zmc8jZyz3P1EjjDyCul0VYGaPIp3tSlHDSOF5mjdc1+FTd3fZd7JOv5LWSXsWPwYvMnihQSk3p9HJCFkM96EAT2IksZHUAs2GyT7/4nt7XLx9yCfvavD43gnm+3UGysfzNBUtqEoIsgFLmb0qbV5yUYB8tGZlvDir9FSQFqNMbsbZPL8RVu/FkEmUrPBrGAsWQsUffOkh77vecNWnT59duHJ+qTP/7TD8bQEuvFlph8/cEC9/fsImzicWEqJYp6MYROmDjUYgef3CCFOPlmKOMvcog48U/rgeHcfkeUrZ5OWeTndbtErS6bNJLke0jmh1Ix54XvDxrzW568kJlloNZLVCo6qY9CxN31DzLDXfUvVJWdsxdzWQVHxFxRdUfNIKPZOC2xB4Tn8rPWT/STjVqrjESqpvRxMnRf2M64NMy0mNJAw1G5qCC7f1ee54TC/yGKYzvv3QNWp7+WTdLFEDcqwzJw/eTVab7erD3/eGPm+5fplvPNXhE3c0eXxvk8VOjZb06foaXwl8KQgkrodTWrTI4pp0CoFIy35ZzeCr6lcyHFBiciPSsuYSe5cAXpYpxe9xN21kBL1E0IkMJrT86h/eO/HB93k3vOaai77Gtxke9G0BfvjY6YBE/bbXPlKfrll8b4gQBk+77o689xEK9h0Hdva9EcmS3d1ibGkbP2tlaWIpF+g7WZLpf4OSiRuIn7kZMmK+E3PfE5qvPtDgi/dPcK5dR1QqeA2PpoYJz3XyVD1S2QFVX6SHTEtOU93tC4KMvTOA6xjfj6n4IdZGfPPJgGNnqqybFnjSpDpWFI2+ZQIYKTdV9IceOzYI3nB1jy88HNKNPPqRoOJZ/Nix+DCypVVK5X41Qo7IFHfIolHBOL+9Ggx53+v6vOm6Rf78Wx2+8kCN+55tcK5Voy98+r5GewotBJ4UeFLiCZtKLYtClKThqH049vGKzwljUiSVq4yyuLEp+MduAIObVhsZiIzBJq48/PjJw/ULNg1/m/joxUD/rwTwz939Av1+i8XTXX7lHw7QYYKOkpTBVTqWQZTALAowl072y4I+fy7ZJPl9S8mesqUj2+HBIFKAa53g64hKJWIwTNh3Co6eVvzp1yf42uNNzi3Xwaugmx41JWl4loY2VD1L1YOK58Bd8dxMQldmKkuHSH9uU5CbHOS+59rTDp02PHckAM9Ll3lbStGLERSUl+sk73px45wvO2/IJVu7vHSqRr8iqMWCILIMFam1Z1L2ztyUzIIstErus6dWpDEqnT7gMQg9qtUhP/zWIe+8aYU7n+jyZ3fXOHq6wkunaoQrAXGgGWiNVNKl8wGdPmdMnksXiuB/FZOXpQlFvJWk1z5JgW5KgC8AnjouJG5gk0nARBCHqHjIB958jA315yabE+//gfkV+3uzk6slzrcF+LBzUERR75/e9fVfW3f7AcOjL0qu3xNS0RE1pYhDTRjqvIu9KKmUo1IExyZlJs+Ypnwiyqem8NYzzeeSGk6SGDf6QSYEgZukGicJc4vw9Xs0h05WuffRKqeWqxw6XYcgQNU0Fa2oa0tdG+cieG5wfsVzCQUH4uyQ6aFSgJNq7hTcXkLgOfZ2N1bIkXnYe7SGJ0ftwVyiUNSDF25C6qSYtK8x9rhkR58L1/d4/nBML/ZoRIKhBj92MwFVCeBSCoSUI0wOo75zLoMSmfdRRonH0PNpVkP+3puHvPryNqeW23zzMZ/DJwLufLLG6cUKSd/DSE3kK4SUbqVIu/IlacYTctmSEdK4szIiU0a+Z8lK5mweaWY9tVndRgyhgShGqAipIm64pM/0RML//OzByZ/4e92f8r3oY2N/9i8G+K/+4d1g4+/rLZypP3PA5x99uMqlO0Nee+2QS86L2TQZsWvnEG0lcSTzliZjJBa5NqvnAaUovZ1yYJklcuwYc5ekiErwgoQosRw+IXjusOLrj9Z4/ojPi0eqtIcBwzAAz0c1PQIlqCmoaUO15AMHOqvTyMpmXV14kMoS31f4vkxvAFtoby9xmUXP6fyKH2FNyNklydAGaC3xpUWXbLYxAs9BntjRfscw9hBoZqdDpBrQjTx6WjinIyoKxrQyIxlImZnUANmwIwTWyILJS4ORvETl4yd6Q5+NUyHbN0Rcc/6Qftjn7x9p8fxRn68/UuG5IxUOH68QxQoChZUKhCSRpWxQTt8vo1XKmZv82RbPlJrF8+cEIoPGsGvnkC1TERedN+TWa4dcujOi25fMPfE80eInnKH/Mo81AX7H3X/M4dN99T8+fUKcOjrDYttgDTx7yHDnYxETXsL2LSGX7RnyluuGvO7qEGsEnmepNtxJxgowrqvamhLQc1CvPhkuUeTml3jagjAIaYlCt5OXEHD0pORP7groRYqnX6xw8ETAQtdnmPigfVAeqqnwpaCqoKYsFYUbZ6bSwqM0Dex7wiU9yuD2JH4qSwIfAp/UNXEpc1cSHKcZ0YhqJeTccsLXH2rQ6gRMTQh06sVnRV9ijdUzu5Z5QGgkw6Fi3YziLTcNuPPxPsdbdfqedDJFgxdbvCjzrFOPXSbOLqQ860Tmf8NYXfobDuh+oki0IvbSsQ+R56xUL6LuR7z6spgbLx7y7tcO2H9C8sxety/mJ79e48icB0LS62uSUGXlm1idAXzMMsoAXtQ5jwBcxBZhLDYFebWW4HkGQcLrbwl587UDLt0TsmNzwoQH65oi9fthz9Y2yt8rTnWvVY8+9sn4hut/8C/P4Odtqv6WSM5esdALIHB3iLGG+X7CfCfhyHLMQ8/HfOYbEeumYqyxXL17yPveOCBJdweenTRcddnQFc2kbkm2hK1lCmXDeVo9wTPPahbbkmpF8uhejy9/q8IgUgwixZk5HyM0kfUwwgOtEYFGS4mvBBVpqaTADpQlUNbVgOvU89UFc/tZX2YObpX2aIqcvX3P4PtZgVaSs7fvRygVcs9Tii883ED52tltI/r75Rk888KLbnTFYODxzpv7fPHBNp/85gTduEI91eFepsOjLClj824hIWQOMPenZEnrlwBu0iE82jG5pxWx1ug4cUBXCUq5QfpTlZib98TctCfCiiHveV2PQeTGuX3pWwGP7fWpBoKFtuKZ533avXQLmrVAPkLrrv6oXjFcdWXIusnEFeIlhve9ccCVF0ZYI5idNExPgkSB9UkSRbfn1AJA1U8411m4YmAmfgv48b8Ug88ttNkw02j+/qf/YE8YWSX8AKF0emEsaIu1CSaJGZqYubZhbiUBm7D/eI0v3+PuRGssE1MJN1we0qi6Eso105Pl2zx1HVa6isef82m3FFJLNxPFasdMQrtKHKlBaqSUeFI4MEtLIA2+dEDwFfiqmNHnQC6KhgftGgGyxuMyuB3Dp2W1XsbgSemICXSEtSGnFnzCYYVgQuKnaW8lita9PIuZdfQwmg/Iu9ONIow8phqKbetCfDGgHwf0Y0FVuyGYWQ1JltBSslzeKvO/5f6GTJM/psieGpP2SRbSKI6TNG+g0v2PYqI4QUUul6BVgpQxW9eZdMUwXLx9QGj7SG1otQSPP6dZ6UlUrlhGg+rx75gU4DdeETExabGJa2yuKlBCpja0RxIqQuPmsRjr3q8b7ARSxMRRonyvv+fKaz7QNPE72lJPfXuAn55bYGFx+cOfuWvpdWfOajbWHHvHBiIrCQ1uLob0MDYt6rYO4LFNaGUTkqSlvWw4cy8lrVX+uIx+7NLyZoXAZFsukNacClUEOVKmVlYG6jTtLEk3bs1849KzTjvpFenWe+Tgdm1dCj8Ft6/JS0wdg6csrg1+mh31vIggiDixYPjDO+ugfTwpigAzlydiFYOX3YVsSKgDm7uQYeTx/rf0+fP7+rx4tkE38ajFblNaVwWYjb0DobKcQDnYy0oXMykkSwVe2WHyWhitFV7i5qV4KdCVLJJmrm48fS1MOjgoQQuLsAnraobvepUBkRT1SCLbP2Ot623TFV1gjcbEqRFhJVEkGBqVAlxijSSxKp3JolJXSOaDPD0R06wcf12/c+zD1sT/6C9k8M9+4S6kFL5ZPs35k5bEGgfuRBBZN2UqNDA0gtAoYikxVqdRcBos5JGw21GhiJ8ZY/HSlRcCKJbZLHgRUuYtaEqAJ1xaORCuWtCT7mudDvDUKcPlhUSa0hwU0p3Ziq76AuAyly2Bb/OWNt83pcE5MV7K3r6OkDLk2Jxgvl1BaE0gGZEneXpejFzaEekwArzU6Qhjj5nmkB0b+7w0N6SfaAYJBInASyxenOrwmNxZKk6jGulUyFwqZ+lmnTWlSVOJQSeGREmUzrYvV2mxWoJMa42yQ0iDSkEusr+NGbNyi8K7zAHLz0A5MbgqGZiuOFbmicQM1NkKl8SKOCUDV+YgsMtdGp27/LWMlFUAP3v6BEIIKmrAbNMyjG2aUbNEicCTFj8RBMaZ72GaZYqsmwnounNK1k9OWS8jT4Rwy2q2lOcWVOa5pqAWzpnQ0uY1Htnr/Hsp2ReloOQNtr4SDuwj4Jbu2c+AngWfKbiz7h9tconiaadPfT8iJuIrD1Y5O1/Fm1D45RqOsoPCmCIdSVeLsSBQMRi6CbZvv6XLg88OaMcVelpTjQ1hmk5XsiiIygrOhDAUnUNZoClyW9JZh+lMFUs65UCgjRvQpBOZ7mLnanniFOhFMs3kCTYpTSnxZkaScIW1W/LISlnpIsFXZLHz5FSptMMkRaIqB3fi5h66scyK/lARxhB0zqwJrxGAP/LwPdRr1Vd99c77r4sGyygh6Q5Aha4uQcUWmYAW4KUA923abmRdxilJTf0sC1X2P8dESTHiIX1W2bNwXUGZ1abSlLGbb1JoXJUBW7r95LNRCGVg53NQFK4fcS2AZwFnprt1JktsqrdHa8l9L8L3QuZahicPVkH76FSe6FKBUpbtE2MIdxe0VHWX96XK3BOPIo+rLxgyM9mntVyjFytqCrzYfRaVuMGlKioDHAfy/A/J1SUSxhaWrjIkRuAZQaIkiTIkShCnIC8Xr2XlEDIDuSht9yizYjvH6kVJc+aVFSAfdQxL1nFpklYxUSvNxuYWZzaOWTIINf2Bpt1TrHQVXrV+3e6Lb3zVXXfd/cCb3/zGtQHuqxCbmO9aP8VVJ2o2FfZJ+iZcQZUgzWQl7sRqC0Zm43fLWSlR1BqsRdwjAC9qNgr2tjmDj5dw6qw2Iq0Bz0o9XXNx1qniZInKu1cKYGfNt469U82tyfV2Zgn6ab17Bm4vr06MEETc/q2AB59vIAONL93qllXildvoioq/8WymyBkryyEkRpEYRX/gcdOlfd7x6g4fub1BmAR0E0klcSuqlkW1Yi5TpExZvPynXo7JwWiZtoqJHNyJkihlHKNLmY6WMKVS5HINkC3taTrK3lmSzi3S38ZcKN+ApbmI1mZzEUUen8SJzLc/HAw1vYGi09fMzcfoanTVhlbvu+I4fmBNBu+0juAFjbcc33/XD2rmqFY0nX6ca9es5R8EIknrEfKm4QLc+YVLI6lyGeR4BVrRAVSAPe+tpKh5KI82yJjbbUGSfU3K4ORtWCMsnnbDeGoU3G6cwhhzpz2bftre5ums4SAuHREhEX/2zSaJDVB59rIcYBZ9jZmzMaLBGWvXM9KN0kiyYFMj8Hjf63v80VeGrJiIflKhnwi8mJzFpbTIWORFZ84uHK89kiVrUpRALkh02vWuUpBrizJOriTKohJXweiyxzIvTS4synJ1Z9q2KEaz0KN5gNVB50jR3RiLJ4lIB366QUnZaGa3BWK6DWIiOHj4LM2N7R/8/u950737jp66c8/OLaMA7/YMgYkuOHxysGv/kTaDsObahzItnGpcY22epBECjLCovAwyndw01iG8yiYqAb1gODsK8LHX45ozA315todSotDiacXdyLCbFNhaicJJye1A13HvGpNtytxFgKlL7B14IU8elBw4XcEqDyUlvjTo8TqNkgAfd1Gyw+RDc0TJr3Ygj2KPXZsjLjm/y8P7q0TKpx8LKhK8xKJjkcq3tAsnTnU40smFkT8pSiwuStIoG9iTuSuu3iVJZ7erVPoV4M5qgWxaJpAxOfnqUW5fzMGeypYyDvKvMkyVgs7y+TCmGKKfBcdZi5sEGjXFTL3LdLW7i3h4gSeiO1cx+MHjK9SqQ57YG/LcQTcuOEnSQTupr5lvOZIGCsKAEeU630JXfrvHeCNrvpQzuqyrvOa7sN0KySJc97wowO2CTJF3i+sc3HIE4OXhP67bnhzYebYyZ+4EX7vEjusKirBEfOabNRYXq4hAO9+9fBOO16CUbuyRAiQzyqoj3rRRRJFm3bTkvW/o8OTBJsOkQk/5VBOnxbNyViVJwZ2tFelMmrwwN5UqY3rcGFu6wcqTfF2zeL7jtCl2nZZSpp+z6OLKuvxdnQoluTLWhSW+PTDsGMCz91lsKJYBW+TgVtoyUResn4ILNncgOotnB6slymc++xWklLRaLSbqAQiBsYbx/IwUaVWrsAg52p0x3tWxNrpTVViWJTnQ7Qhr5yw+Ml6sYGxZZnAlSiyeyRWJ0qMA93U6AMjLtg5MM5za4uWpeJO+TkYOrVznzovH4NN3NRhKHyVVmr0cvRHHM5jjeb3cX8pYvOSmmFxzaoJE8943D/j413o8e7hKpDx6UuInJnWPBDKxpfPkrktW9uAeJv1bo/sWlZk8MaBzC9Gik2yshHFSKO/bzOayiPyGjsf0eFFHNN4gMS5XxgHu/mFeLmvKAWcqXVKpl01QUMISGsEgrHD40AnOnf0S1hQSTbtffBzYVrvjy7973sGDLVbaPosrCafn081Bk0J2ZABEgrAWWZIm3w7cIxe6fGeXXJSXlygiB874OGRZYuwsyMymNmmdbfKaam81Bu4sfe9ljcmlXlNdBJg6bXvTOkJ5IQdOaTqhD0qn8sSOlceO37ijCB8daDTmhad6s0j8aOqeYM+WAc8eCElMQN/4VBJXs61TDa6Eu1YusZSJSEMWZBZMXvabXdpC54NNRbqHEiTSAV6lu1NIU0wIyKZrJVl3f24AlAJMaZEZoMeYnJdh80KyFLFcsdqIvONepCNBPM+iQljuCuYXLZaIrTtmzvuXP/PB2iOXf7B34xXrHcAPHjyBUItv3r7V+9C0d5JB6HPPU4q9RxVh6Oq1swAyB3nxXrBraZI0WVW2BEc/YPZmVweYIgN1JlVKrKhGhmpmIKeokVYlUOev0ySPIvXCHbgdgIuhQF5ZnpTZW6V9nX7IUsfwPz7XYLFfQQSekyfSjqwqxeCcl6/IyIGOK5vNm7BzBneOShxrmjXNT353h2882WRx6BNKTV9K/LSHshj5kDJ4WtdDqouzMlqLScFtShWfxUYCOh3KkwXpGdiVFCmDO0mU5C5KCuqx3k1ZZu+yPClLtvF55GvwYtGrWd4pL52Km090iHn+mOXBvYbeMOGDl1Y+dODgsw/IuP/nOYN/+isvgKiQDA+i7SKRrXDHM5O0FzVN3y1V48vtSPHQGsuwZfQCjwB8jN2yf1cGRnnz0rI0yTpkcmBLgVTF+DFVArWWEp1KEp0DPNPcJg8qPW1ycHs6q78YZW9PRfh+yJ9+0+OFQ1WQHlJKgqw0tmRt5nvEpx/yZasJS2w+MivGFM5BlGji2OOyXT3e9eo2H/9aBaMD+tInkCJP+igpiDIXg9VMLspMPpZBzKWKAmXdqmCscODOpoQZSPL5KUU8NhpkunyJkKMAzxyxfCVfg9HLyBkNQkeRJdKVQguLlob10yFvvKFFJAWtTszWqReoJkOMcJ0/GmCmMUmjFnD/47P8yZ2bWDEeNaXZ0nB1HAEO5JlHPb5B1zg7l9/M6M8L90WM9feNeMZ5YCkKNs8Z8i8CuCwArko11DqtS/HIpYinCrfEKw0HKjS3Y29Pu6lVyy3Dl+5psNAKoJK6J6IUjL2MREGI0XNTqlpYZduVEhwmydwUzVRT8Xde1+OLDw5Y7AaEStNPZGpPitS9EUUztsyuR6HDrS26fkzO5oUDpjNnRYk8v2FMmudQ5Oe9DHIhReGLZ6tupsPTZ5le69Fgs7jxXWNxBqDyCOfM4cj+fXEzKeVq8yt+zFW7Em68eMDickA7Wcf8ymZsGmjqfuspKo3JnUf3P/lTJw4fZ7Lu0+341H3XIZckYKRAlkYOjbBvDmaxJlOP/PvsZynYs7s5H/hYuoHGJYoYAfbo7O9yh4sb7s4ouLOdDTLmViXmXsXg2biJYuSEVi5zeeSoYP+xCoYAIXXenFtUD5bjB1FyNYq7vVyLUjC5KMkTkTsZebtZosFqLtoRsmvTgMWXqtjEdyyeOJmiSy5OEdyVC71SwZ2V0UJaOyRKwae71pl1WI5tlHE3jZGk2jtNaMmCjDIdjhFOf0uRv49sRRMUxLbKXRkhweImECm4yzdEZlmCZRB6KAn9YcBXH5pj6wWX/NSrb77l6YeffvGonl8OCAZ64+JK8JYLNs/xnjdFfORrMySJv2qpyLOM+SgEsRq8azJ36Xv5BRC5jh+fhVfIE1H8PSlKwWYBaMfgpKOAyz54+Ui3tFZlcJdAnu5X76WloRl7q/RrrSOUivjKww0OLFTBL+SJV7IuV0uukdV19WKcs2c54MwymqNaPAw1568LeftNPR57sQbGI06cFveSNLubjEqlYpUsM2EKcmtLEqUkV2T6WqariswOd+6TdMWQGdBNtsLa0o1dkiqI0ZsuZ/KyPy5GgC4ywsz/G+tGyOV1W2UZ44rw+mHI5x4UfPPRRf7JZeItNc9sjCriqPaURApFvSK45LwBoe7xqXua9Dv+yOT/snshSvIhd1W+LdDHgq6R/06MaO3ykJwM0GINYOdsrkSpCbcE7nQ+YbFtB6uBrYsBQfmIN21SkMdOnqiIai3k4X2KP7+nTn/gQ02jpcATo9JkPMAcPw+rAM6Y/h6zDMu+eBRrJhqad9864GsP9nh0n4+te/STAF+Q32gq//vldHmxzGcgL4d4LvhMbzDl2DyRTo8bST7yOgvqjczKA0RpZwhRCnRTZjei9D5GmTi78cp4oPzzsnRNG8TyCcZCFBaicWOfu/2EJw8I9h5X9Ppu9/EoFGghulijmGwu8ciLLX7j0zMsLVeYrdu8DHXEIZBl4I3VWqwlP8YAn9+xY8y91utcighRWgJFfigl0tqUAtwFyLOyWYvWxQhlnW7CpNUo0L2crd2hlAswfT8kChO+9lCNF4/XwPMQUqWgSueGlIJLUWbyEoGPOCpl1k67x60Z9XvzktGSXRiGmou3x7z1li7PHK0yjH0S6dE3Cj9h7L0IRkpWx0Bux94LKrvZDEYJVGbRSfcsZZH1zFdUCdKUZhmacqA5avWuygusAnw5Ziley3RFkcLm1dSJEMi0kVonkv5AMzvp8c/e2+LfLgvOtkP6UUh3OER/77/4NFJohuEKx89sZLE9wXTVjVYIvNHS07ItN/rmxaq7bvyDUP4Q0k0tHVnSS6DPAFyweLEDQSFNSlZhztgZwIvJqblESZnbMbbNmVrnz8VrLw0utYoI/JDnjwnufLBGr+9D3UOKrHKwfPOvkcUsxRYl0ZbXomRe6ugg+bGET6kAK4w8Go2Qt9485Iv3DXjmcADaZ2AkfqrFlXGbfhXj7UAkOFtOCFfumYO9ALa17hrn0kU6Ns9WlWz1NhKkTaVJmlHOhjGNkJ+FbNJwfi5S1h8lQ9bETnZYJ+nd787Po0wljkQK7RI+nQYXbxX81s8s05j4NNPyTmYmY/S5eYMUEf2hRzycYmtTUPMMlXzMblFyOur1joIyu+tWaXORLStlXbU2wEckSllz5yB3eruczVQqrTBMKwpdO1f6Wpfng4+BOz28bAptWuCvVewOHeF5EbFNuP2BKvc/X4WKBukamr1SCe9IaWz5KH/xMhq8PI3VppN3rSkclayDJQP6cODx2st6vP1VPV44ViGOPaxQ9IXGS8jfk0gKFhcjt9ZqJi+PcVAqY27H5u5rx5iZDs8xkDosDuyiYPB8dS/LWIswY9c8tzPXAHlGhNl/b0HmZJAV8pWKsoxkEHlUvBpmqFk4GwEWfcG0e0P9oaXlJy5YS4GiZVGdl1f0vZxEGQP1SKAwFlzmy0969xc3ihgBew7sEalSTtOXDjUGblU6dLEJagZorwTqzDlxjol7VirC9yKePir59DcbgA/SQwiVdxGpNFW8einOLDBRxCAjAKPI1pV1uClpcCswiWvdc1V1Kk/fW6t53+v7fP2hAY8fcpMEIqPoJSIt+EpvuiRl7ZLiLitvcIBBMQL07KcqBb2R6X4+WVBsSpllm/4tW1xTB/RRsI/IUOzIeVoT8OAy5el/Z9JVw2ZOjpU5AWRltN2+j6CCUFWE8B3AG1V3gTyZNRwUd7wsyZFMmuQyImXZ0Tuv/CGyZUiM/HwtSSLKwE4PUfK8s/eRz8krgzxtTSs2m3Jp3GIAfgHuEdYuPWeNtZlUUSrG82KiJObeR6s8d7AKngfSBZe+sKXJsaPnY5UPPiZPColSvMgbIEo1IiPVhYnEqNRRSTTD0OPSXQNee4Nj8X7iWHwofAYGdJL54WmdSqp1EZQkinsD5fqhsnWpJFhlkVagLC77aQXCCqxwbJpLlSyozI2C0nXNfp7OlVxz9V4T8BZhS/FYZlOmq4VJ9/aJpKt0zHBrrEXrAKVdG6WeamikFAxDixYyn92d62dRYltRaCq5BlgLW2q00XYcxPm/K7O5LDZBkunPRupPBPneO/nuxVnz7UjDQ7F1iVJj4C4Nxc/dE5WgdAngqUTxdcSBM4JPfK3BMPKg5qXyhLw1TZV3Cc4+b/65xzTLKn0yCvSyTMnqLgpHZVyLa+qB5Ife2uP2++vsO+VuvsQoeolyVYZJmvxBOP2dlFyL0kpiM6CXAC5tocVlqtGlsdj0GlkpHMBNKVbKmNyUHbHVYB9d6TLHZNSUyHEiy6ujQBibE14yVg4A6SzxGJT2UNoDa1Gf+eNf3zA96f/n06dOXmRtqdy0ZL/pfOi6TGdIl/7NSE1IISeKQiiBlHLE/chdkFLmUaa/W6bjgXPgjh3ZyISyx50/60J3OwdlFNzlvXqKYqp09wcd5c0Mng5JZMjHv1zjj+6chCAAVUEpTU1Zqsqm4yjIG5y9UmtckUktJ6JkcU6zoHhEYhWVeuWbVkjSxt+iF1JJi7CGbRtDTi1InnjOJxYShMIIhRCulHZV8J8F++VVpcixFF/bkqixpR7bsZuhLLFyqYUovrfGQW6Hkm+IMDqBuFzCUG5ly6ofyzNeSPcbFUSxYBhJugPJwgpMb7xi45adN96t588en7RJ522BNlQDRShN3r2T1YILRp0QmbPVmPxIA4MR33skahZrSJIxuTLO2iN14HZEe8scDIUkUSXtrfKdHkobUSk7JkmySsGMvSM8HbH/tORT36jh5q849s4797O/LxgZL5yzz1igKcpf5AAaA4dh9GKaolzUZllNKzGJIlGpFk803/uGHl+4t8bekx7IECskg8RDI/L0uXNSUiQnWeInA2tJOqWNBzadjZW9N5mCU5aPPPBzf8MakQecVoIZCTBZ87UZUwkCUdislBl+VP6WHRjSCMOkW4YPQsHi8pDa/Mrbwvj4pD4zH7KwFDEMDTItMZVpej5zS/NQqSQ7VgWVJbZghDnE6M9HPvjoSRjR+GP11a6LJNPfpdcZkLNqt0yDl8DtJrKa9NnZgUoZVOZ3qxglY1QqTxIV8+UH6uw9UGhvKaTzvvMOmrUvmmD8a1E6h4XepXRxyo0iI554ia20SbvMZZHCDyPNxRcMeeeruhz6VECYKBCaRGj6QqCT1L7LA11bkFUJ5HkIbDNdLlA2rQ/Bpl64TbV4eghbpPgFGOn0uslkSskBMSUCM2Ic1GNfm7UxVQY7JWyVV48kceTgeSKd9Z6gVzqw0rZ0+wlBINOtMXAfJluyMlDnv3zc2hEjf3T8boTRoCLzQsdBsjbAC9bOvs5YOwN7xtw50FWZyQvdrbIgMtviRBq0LIbmK5XgeRGHzyj+5+ebDKRHNkGr6JpPV5ByDXTpsxUMwLd9lJfsbJc5SsvwaNuWzGvFM3AnRhMnHkES849u6/K5e2scOq1BRWA0kfDoC4FKiiBPloPNMZBn3rwFdHbDpd+T1p3zjM1lGoQaa5wWT9ncCHdDZbVLZWCXgf6y4F7re2TavNDp+akVpdUwlT0CaFZhZlIwOSnRK52Ydi8hTizVNOcuszt3rEB3BKxjYIeCkVfdBGW2H6+4K52AMrDFGGvnVWQj4DaFRJGjDK5H/O0UzCN+d+mQjsU9HdIODR/5YpNT5wJQOrUGZSpP7Ijvnb9+2Qs1un3gmkBfpTltUTabW4fZ4B45OgVLKpJYs2V2yAff1eGXP+HTilxAYK1kaJSzDZPsfVhIBIXCLkBe/L/7iUrvQmtTsktZPWPzLLuYM7gtUup5cWAO7LVWu9H4YFXiZ+zrhFHAj7z7EsjBbZXYrFummwa9Zb2mojTL5zRSqVR7px5p6UNnFyn/A2XQMvb12M/HAT2+nOfMLUtsk7O2LVmDRZG9EmVAl5hcm5TRTS5NnBwxq6SKUnH+rFWEDiI+e3vA736mydB4Tp4IlcuTvKl4zBIb0d35zV2G9doQH5mLRCmjmYM+S9m7Hcay7GaewjduK/CKjvnx93TZf8znY192WhwUiZAMjAs4ZULO4EUBVoauInVftisduAvJYm3K5iKrPMzY3Fl6xmR7gpZKd6Uo+dt2NYuPkQGsBjdrPY+RRHY+jYFOz3LqnKAfC/SOTZa6B3OnJL2BSNvTystX8atE6S+spYfWenMvt/yMJ0fy7pARJi+BO9uiu7xloCq7DqYkVTIQl5hcFtWBo89x6ntHLC3D575RY3mYgdsB3JPFZK2yPBl5r5ldNsYw41ejrLWzi5Kx0EhV3/jWi2asTlxKlFEYo4kTzYSfcNsbe3zhgRqLHQUyAqOIcHo8qzIcKXIaubJrM7nLAxVJoaw+RVqnua20ea2KSIEvRBZoOjaXa2LAlmK18SKrsuRdDfC16MKS7pgRWxZXYk6ejeiEMTqMEsLISRRLeqGKVvr885fBvFqmMPKGvq2WWrVUuQ+rRli8NCJC2pL2Lm3TLVcHldlwmgLcyQhrF8ydsXbB3l4t5vZ7Kjz6XBVT0t6uqSGTJ6P1JrJ8UcaX2pJeLC+ro49CCtoSi5dLaE0J+HnQaSXKFr54nHhoE3PjZSHvuL7HH37FBxWCkFghGBqNEsIl8rJAUxSgHpcrmTVorbNrM2ZXspBRhVRxgDfWnRsrs+CviE2MKN1cI40uKchLiR5SKVUmzOJ5TPKNgT2DrVbZxGDQT+2zrCxbzswnTDSLbbjXXBJKv3DEUVkD4ONsLksXv9gCsNDlShSRcgHq8jyUNQCe7rCs0xFjUqaOibSprs7AnRSOiTTFbmzSuSeBF3HouOQTtzeY6/hOxEk36F0Jih0bXvYGXUNXrsHea7HOuIYcb0YuB5t2pOve7Z/jnt32JxvqCT/8ji4PPBdw6KwEEQEKg2QgZGkTqRRcKahzG7N8w5X5PM9mptchY/MS4HPWtmmgmdt6DqxlkGezUvIkVMrieZ9m/nWZxcvVkeVVUpT0u8s9bJ6VXH6BYHadQIdROlgzdp9KqrWXlHFwrwL9GEuXl5ORksg1ACLLS37eQGvH7MHybsa2ZBGaklzJXif50MiMxbUs6W6ZoFNb0Pcjhonhd/60yf1PVl1vm9ROe0vpunZEMX8lf6/ZjTe+ao0xeRnnq3TjSAazcC2KPd7L5bPlMlrXbmYyRyUxxFKjYs1rrwn5sfe1+fnf8RnG0mWgjCROXRVpROm92RHguDfmWtIovT8lnT+uspvSpt31NrMHKcpapc0DTJvf9GntZEpm2Xkx45KFMrFmYC5YPQf+CLMXK4JM9aGni4nBetsmj4bv0VvW+N5ovUk5dcpaz+U7aZVUsTDyAUoVd9mdLYvfX5YixXvIwG2K4HLskLk9WExAHQkuZSFLdDrjOg8uZYznx3zzcY8v3F9jGHpQ1bn2ztm7vJKMMfm4t1/W34JMX65N3+XCpnyf0BFwg1VZleForXhiJNI4qZIBPY411VrMba/tc9f9fb7+uHK2Ia5KLhKaPqXrYNPWspJcsbJUyltaZVTuj6f/JmVwmXb/uLJWW9iGJaBn19wIkRZQja3wa+CqOGe2xODFqlJo99Iqkcq5+aHh+JygG0n0zo2GpmdZPAthRNENP860ZZYGxrfXfjlGH9Xhduz3lhpkyzpcjLH4mDzJXZQ8uZMB2ZSYuwT00jD3XHtLNyV2pWu5/YEa+85UnDQRriRWZNpbUJogZVeBO195xk566Yx824fzwkVuyY0eogD3quFARY2KlAppEqTRREPN7o0R73h1l0f3+rTCNP1qnB4PUWT7QIyCu6TB0/duccmd/IaULk5TGajJEj5OhwtBrsUzoBd1R8X1NxkpjMxNWb3iMQL8cUYf+93ZKpBAqx1z4mxEN4rQtSCm6yU5xVtGU+WjzZ7j+qf0hsTo6wL0qzs2MsYug3lUmxdgFllwp2yeri/0tynJEjMSZOYBZZbIKbso0nXKGxL+4CtVfvfzDazQzvceYW8K7T1iDa4G+ujFKIH827D3SCUf4/o7Y/LVrWzZ7gfGGEwiMdL54koaosRDKsOPv7vHwdMev/sFTRQXIDcIhkKiTDZIIqvHKIE8B7VwPiBuEcjfY67D03tTOqMxK7tw96tNdXfWDZ9d/0JyjOKk0OOr6GEMb+MxXmEti/wThTH0Q9AHT3osLWmWO4JKJZ1aOuJelIA9dsGKl3bNN7GWbCkHOS8H7GwEWOGD23yakhxzTGQGbjUuT0b3rFfp3jNOg0d4fsTBOckX7q3T7XpQVavZO6/5Ljk7okjw5Dcsq19nIP+LOLy8AUbpZV7MX3ZPbNp0kANdZkCXGOm0uJSaKEpo1GPefWuPr32rysEzaVLBtY2TCEGfUtVnOjW4KD5KfXGZZTdtUR8uXd0MmZMiivdsSufJpsxq02trbKaTxwmzpLHXIMoSwlYRaoYZI5y0zhyUybpi63rFzLRCL7QUSy1Bq2vwfRdf6TR5UjSUlsD7F1yxcQkzHqhKYUfe3MhzKcAUY8FlNtFUKTf4sRjMXtLfpe02ZEmWSJk6JimTax0zjAx3PVLnG09V3XBw6TmAj7F3vmoIMRIMC8bLgEtMLkYvzl/0yNk8T90XhzFu+c9kik23InG62xQyxUgSIVGJxAhFNNS88aqQN97Y58RXPYYm7VZJDeoYzUDgGoPJgjiR2SBY4wCn8quaOSrpfSIcazuAi8L/FplVOAr0PNBM55+UDYjsT4jRFwWWSovKyMCg0uqqrLsWUgsaDcX2TYr16xV6enbLSq8//Fol8P+ukul2e14K8NIFHb8ga16lNTRUoZXc9/PlZA0N7t6sGZuYVAZ6UTZadk6kXK23y3ZgloqX0nXqSD/mvsd9fuX3J0isLpwTqRBC5lumZEw9yuAlkEvWZO+R8/XtgD6W7BlP2ZfliiGbepUWY4nCUck1uXTeuDCaODb4fsLP/kibfSc19z0mMb5IIes+QGQUfdK4IUdSyuQqBXvpgxReeAoq0n+OzR2TjOGlyFyUjMTSEq9x86GkqTNifLlzNfJuRvCU9pPiNsjVnsfUZPNrF56/dUW96rodXRMtH2rWxI8FOqIa4HY4SAfljFTplTtpSvJlRKNmr8sgldmYh5L1l60Qq2y/UglsOZFTCijzgqqya5IzeFJ436W6E1XqtTy5JPiVT0zwwFN1tymP9NOSWA8tBVUJgSTd5Mqurt0eOdIG6Ly1b3QYkUrbvaQaa5gunbPi63ID72hJQDnoLhoBbP7v85Ww/DML62ZiAm159Fmflb4cW2pkPkVclIAuhEhV5/jd+ZdYlsYGsY53DI3UmZdvbrv2MbIjhSVdvSxJfmSlxe7GSoxByIAjx5Z++P6H9+3Tm9bFCCGI44QoTFC6GIubLR8W8jt79E0Vu3it9RjxKsvBphgPMAt2zLbDKLKYZf/blG4IM+qeyLKTUg4s01LY9HXiJ3ziixP8+T11bEWBUA6dQiOkHOm31KvY++XtwXyG1VoYGPu2HTtl5VqKgtVHu+3HO3xMOj/QpsxtrSlqVIREGkUiNLKfcNvr+rx42OPDH9WEQVwAXAis8RiS1s5kUWOS5tcp6sMdXbrVQ0lyds8Iv9jcOp04LIpKwmxxFxJEluEcwcfaN45N74KXLW8g0+7ZnHIX0MYmxPct1lj0RCMDeEQ0jJEqnUFB+USXZknb4nvlYv21ET4qUcp24ahEGR3BO+qJp8DOgK6Krpby9nYjVqAsgztB5jUnCV9/LOD3v1pnkKRT8EVmDaZZS2FHtPeaqfky0Bm3Qll1Ab8d+1ky4sgANWYTYleV0FpZymzKkrMiXLGckWlxljQkRhN4hh95e5eHnvH5+lPOLsy8caTAWM0wSYNOHLizwNNm8EzfWD7eUAjnjYtRkGf5E5u6GhZcjTfkjcm5Bs+8iZeRJXk5MeUJYNnNbkeADqTVjW7rSi82ridTpNNGtUoIahFaFawy7rvmU/bzP5TqRPEyJD6iS8cYnFGrcIS5RWmToxJzyxEWLxhb5qAeY2+ZFAGmjugN4Rd/b4LDpwKsLnZLHtHeWSnACLDHAM0aYM4hPBYhfRtBPrJhAIyujpTJpKzHV9emGJlWHMoyiytEYhBCI0PD+Vsi/s2PtnjoXwZ0BumHMTJ/X4l0e3HmjRESN4g2CzAlYERaeEU6UVg4H1wU7koGeCHBmpL+Tm+CVaUca52aDLhrgNsY63byM6PSpRwCer5BpV1pev1sEyE0Jl7BxgsoVd4nRqSbbsp8P/XEZHMo0hke5SXDjr3bkpMCJWDn+tGOyRS7KsCU47Ikfy7AraVBqrEdeUv1JlpHxAn85mcbPPVSxXneMmPuwjnxxKgsyZ7HE1+jGdmyezLaTL0WX69i8jHnhPIKmRdiuWKmVdWGwjF4HnQa6UCeSIxIjySVKsZw9UURP/k9LX7tTycJk5TFIUWjIEExMKXrJzOEpatLKlEs7txA6vDgwFx44o61bSZRSrVH2NWFeqVEan7jjwLc5kDONHecQJz2ZcbZ1itWYK1h3ewEk9NNoihB77nibUg9wbD1KJ0zTyFkxW2yGXqEsSaKXKIgksppqCSdByckRhR3F6nuKnPS6P4sJRankCVijLVFxp4l1h4Btij0t0w7cjIG17JgbpUyt1YxupJw9yMBH/tsg1bfA7/wvEmbdJ1zUmQti1EQozq8GM22xgzCkbBM5F+PQHoN1l6F9xGgFyAfZe1sKqxNwV+WKs5GTKRCWuPqVWJFs2L4wHt6PPFCwF0PK6jFmXBOAe0IbUA5wLQFGsuvs/gs199p6WwJ2OROypirYkuBbPnXls9L6QbPtljJAB4ngiiBMIFhLBgkgk4kGMSW3iDh+953He943RUsLHfR3aHER3N6yfDc3i7TjZhLd0K1UqXTqzKQBiG8krSQJG69IhsFUNaL5TLyYpUuNiQqj1kob1Y0svdino4v76xbZvFMa2dgd2wty563dLag1DEvHdX8z083ObjgOT9JlLR3WjHopbNOcmdjraCSMeamBOzy0ju+5JYfGVuN1aIULF4kVvJGCNZK4zMC9mLjVIORbgUWmVQR1kmVyLJrOuYfvbfD0TnNgVMCq8sCS4D03JSo0kpspcXLNn+SNp2hnzJ5lvjJJYtbybLMZ1YPXgZ6nrankC22dHJGuvRLwHZs7cA9jGEQCTqxZHFg8XWPK3a18WWPnZsGTE+4Ohu970SNdVMBtz80zb/6LxcwO5PwoR88w/vf1KZeJRdVeYBvBdkI3iw2yHsKy7dg6QKPZzBHffByQGmK12JsZ91V4B5N5uTBpXJBpZQxfhAz1xL84kebfOGbNaxXliYvz95F3bddwzlhZIkdT+qUGb24w0fPxwhrj4E9+97qmpSyDs9qUwonxco0AZR2AMmUxZ1UURhhiBODJw3vfl2f1lDyoV9VnF0REAiKaFFg0cRWMsjlCakGTyWWtC4BVJYrKdBFqkGtGc2hZLi3kpEmiNETUnbt3GfP9HZiHbjjhBTggm4sWByANB1+8HVzfOj7QwKpqKyH2oxk8yTIiYpiquHPbWyqO9989QbicIL//tlNPLYfKv4Qz0vHmY1s5VxyPvLp/rbQ1avsvQwsZjVLS5vO/RjX12XmLjkjL5OplDJBpq5JVmsSYvjyg1XufqxW1JqkwB5l72LX4PK8wTWLqUqSK9PiZWCPM/fqizgGbgq2KrsGqbGajpMYda5yUJcKsVxsVLSzZbsF59t2W4mxijhWSCN58/UD3nlLD18kblqOKR02wRpLbGBgYGgEkYHIipxFkxR0STpDMR6TEe77JXkxFhQmduz7Jd+77H/b8n+X6u04nYXSTwRRHPGqi5b4p7fF2Hgdh+euYKkzcaehNjeMKsgrL9/N1+745lFPRP/j2ks2sW0iZrldZd9xzw1fzICnTOFmlIIGV5FmR6YQ5R53fgOYMelRMHSWwJElcOcDbkb2SR/dTnrEPSk5JzKt846F4Yv3Vvnwx5qcXCjp7jywdHs6FlnL8o1YWIQjpb050MUIgAu5IkZAXSbw/JVdE+OjX4/YsKPANvnPUpADxsg1S2qzMlpjXRd+kmiM0UShYtuM4UM/2uJdr+viidgN1LbpYSIwsQO5haEdBXmcgjwP7kqAzkCbDeVJUtctsaNALQO72C90jSQPxWfPfn9sILYQGoGWCbu2R0zUqhw93WRgzmO5Zf/Hc0/df3Rm/W63R8+GmQTPi7l4Z0LrSsP6swN2bxFYq1wrvihA7S6kJe8IyVgsFVzj7lhZhsDqgDKXAtIUlYNl3S1Sh0SYMXAnJfCPBpael3BkQfKxz9fZdyiAusrdkjyxkyZ1/BJ7S8jBXdzAa8iTsnuSwVqMBpRiTSYvXJS1kj2Otc1Ywmcs2KT4OkvfS0FqDaZ9kqWEkBA21+FSZF35mmhouej8mB95d4fHnvM5Ol+KDLPGUgvWaqKsMyEPNLOAMkvNu/glb8IUWfNB+hlMtoWJzRM/cuTkrJZp5YkO43Itu9GlgBiPfScneOJAwpMv+DSmEi5MhoRhaROq66+5kGqlxtPP9Tg99yI3X6k4b8MEgzDGWlEA/OVSlukFzAKGHNgwsjFoeXu5HETjDC9GNXfO5mI1uLMkjpQJSrigUquYpY7g1/+oyb1PVaGSMXcG7EKa+MI1NBQBZdGlo0R5NVodXL6sVbhapfyFj3J3/UhVYTmLl+XsjPOeTTob0Iq0H9I65s8CTyEkiQBh3PbemW0ohHK3kTAkPcPrrh7yT97f5j/+3iTL/dKHSH1wEFipiBD516TgFmnAKaQgNpkWL9mGchzMxdSsLC4dUXWiiMFf9lxRML8EKp7myMlpPv5lw/oZuOWiDWzYcgmDYS//GMys20Bj5pK7vvX48q/MLc6gRYMoqmESmY83E9IUkW2WUUvZZJSlVoN7NGlT9FLmckSVEzflOm8zIltGmTsp+d5FQmcgLb/z+Tof/WyDTpTVeGfsrfPAUqfyJAsq1yqBHc9e5kxdujKjTG1H5MtfqnRjLP1sSwH9iCYfCTjFmGTJWI2cua2RuWTJ2tuyAZ6ZZIkTTUPDj72nw4/f1qGaa/AYTFKSLAnWWiILw7ImN4LYpj50KiEKLS5GZUguU8SIvi5nxLPAsgz28esA7vf0jaBvXFlFRUrioebibQ22Ti3/ypXX77lr08aNBcB1ZQe/8d//cy8QgyMXbg+YakbUqwNq1R6e7lKrDtDKRfHZnjEmP3mlAKl8V5bT8OWUdykoHWXncvVgibllKk9UFkxmIB8Ft1QxeIYXD/n8yV012lE6GVOoEXAjJHKVa/Iy2rsE9pHXpWfW+Lp8cf4ySC/a1cYsQzINXtLe+U0gRkGfBpLlJTyfZ5gHoApbmqtijSKONA1t+f43d7n4wiEyScbAnWnzUZCHZS1eAvlIAFkCeWLLYE9v0PKNXWLu8vkuj8vWaRwUGkFvGKNtj2EYsjIULHcMJ+Y0Lx3sHPnIr324d+nuLUBpr/r3fPebkarG8txdDFee5oVjCUfn4YWjVd55U8h56w3DUDMMFXEiR5g7Y+3c+Cx7nWVLMK85WUtzr5Yna4G7XHsiRRpUyhjtGZ495PGTvzLFcwcCrFfW24VrMhJYlmacvGxq/uVkihhL7IhycqSwV/5ScsWOvixAPl5wlTG3dUMuRcHcItuFQbj56iad5Z0FnMKkOYxMpghXjYdwiL38gojf+tAKP/afRDoPPX33MpMmpN52Sa5IMWId5t/LPlA6XTPr9kG4RJlJz4xMa1lGckkl0si+lY3NVtJlc1WccPMl8/zdm1Z4/qjHkbMN9h+pcNPE1bz2DbfS7vSBD40CvG8mqAd17n9Bcvs3JU/um6XVq+Brybee7PMP3pZw0bYqUVKY9GR6Ov9i9Q5ZWUiVs/a3BffomOC1wV1yS2SMFDHaS+hYwW9/oc7TLwYkuR1YLqZy7J1JEy1YvUPxuBM0Nndw1Sg2Mf45R1//RQi3Y8Auf5EXYY3r81yPl73xolFZpj54tpmATTObeQYx/3kKdON+m0osV1885B++u8vP/ppHJ5uVlm13n2U8pcAiHcit+4DWpMViWXZTuN2Ss4fK4obMAy+tXFmloh1fKcs2bOmcekpw7aUd/sE7EmYnJvmB14e0Byvc88wiey4ecv6OCYbDQvXnAB9EVWr12sHj5zYdevHQBbsm9JAdm6ERwFSjwfyix2RNUPETPF2y9oQ7AbLkoORvXxReeVEe++3AXcpcvgy45djh+Qm9BD72hTqfvrvOUJa8blmWKCKXJnnWkrJ0WsMxGf+6fMLLxsKYPfiXRvgYsMsaPC9NpljGDeSjjEe98QLwWYAp89cCYSRCuMyzTN0WYdTIKisSgy8s731jj73HNB/7fINuJByTm5K7YgCpHcgzdyVj8vzZ/TdlkINIb6aCxctyr1ymU+juLLOc7qanIPAE6+uT7D00zfREQqMaUa8OedPVgtltE4eaNf9gzfeKmyt78Vu/8d+45vpbD21aV10vw8VbZbzCxmnN7KRm/bTHREO7gv3SVcz/VxreMlKcLwr9VPbBs/azImNpRrzwAtxmTXBn9d1ax3Qj+L0v1/lPH53k7JJX6s7xikO4PktPuEYGL29mcBJFZ1Kl3NBRajjI5Ysc3QtyfIuVbPuVYtNakTNp+XvjO1eMzEQvDR/NB5XKorZ6vJ5+lbOT1fgw9v3xeIHS78KmNYSWyWbCtZdEtHuSFw5pwnhsSSovVUino8tyTYjS3xkdmVEe0kP2vtL/bmSEX46bbAMG0FoQeIJaRSKETxh7DENNb+DR6Uqs3olfv+g3F86d+Mj6LdevZnCAIPCoVCpfWT/tv8unflUlcANUAk/ga7cMxknaeVI60cKKtCm7CBfKaXlRzmKWmFukzC3GZUkeZCZpAJqUwF743TKw/Pk3avzSR5vMLWvXMS3HPO80sMxsQS3sat97XHuvxdwln3skHT/yKGsV/vKP8QAzp/PUpUp1ytqpe2fJIcgZW4rRnROMzVjc5t64sOlhlJOWqf8WDWHTVMy//kCLxbbkk7c3oJKM2IYFkztNHmd0nDK4yMf/ufeqij4eRBpoClGMO87VTmZUiKLENg8w0x00QBDFCSttS38g8bWgVqvi1fynL/SrXxkMBiOnLwjM7wAAMhVJREFUVpW/+LM/+QPe9ro9x2cm7A2T9eiaqYahUQPfK/agdH2IRWYv97LzO68M4lH2VmUWl6OaeySgLCd2snS8cA0MGYPrSsLB0x6//LEJntpbgUAVzC3S8Q/SNTK4fS0z39uxd8ba+XYhorRrw1ijg0pZdIR5R74umFzkzJ5upvWXYPByW1rO1LJg7hH2zq5BaSpBXuG4KmYYd37WmKVYfs5eG8vEhKFasTz0rMfSctqAWS6yKTG5ReZyKt+iHVH626K458eIIv98jK5gbqucDNwi3e1PpjevZRgZOr2EpXZMtydo973bH3vqyG++93v//gjARxgc4Lqr1rmlp3eKQb/L2aUGCysevaFMbcL0AiYOIPnkJWtHTlK5WjBn7DG3RGUSJWX3QpakzJ1VCI6D2084dMrj3/3PSb75RAUqsiiiyixBmSOhCCxHxkCU5Afl5X/URcnBxhr1KNmyW16aGQVQSaLnTJV73JQDzeIcjv+bjAkLP9ySDeaUaa20EKLYRzJNAOXsbUW6R2XmpmTa3H3PGus29xbSMToWMYh5w7UDfuEnW/zb35rg/9vel8fLcVTnflXV3dMzc2fm7le7dLVbi3fLlm0J8M5i4hgT8hICJAEeEHg4bA8CIYbkBXA2zOIAYYsNJAbDM5jNlsHgTWDFBizLFlqtfbm6uvss3V1V74+q6q7umSvJ9pVlnFe/39y509OzVX99+qtzvnPOzoOe5uOwLHiy8BSgiACVvUPVVYcYF4lI5lA52XSFKxOwkTpxwrr4mXmj1ASeSVwYSgiJWkPi6JjEviGB9oqPS+dMA+fNqWVNAO+dcymYw4JvfvcQfrvtcVxxFkBpB8JIXQ4dEJVwbXIC7aNguQhjcFtCrDRFyQivGFeUxdyMFdeuwBjcLseuARd/87kybr+ngIDorHhk/d1Oymtikhlap59NYvnimU7TEmtzasHZkpWQDNitS7EpQ9IS8KlQfXqxmeSIJYE2G9jGbUg0ZUkqZGmPikSy4NOWPT0kOCRyjsSrL62BC+CvP1vB7iNEISYFcsQLTwGKEEiojA7rE6rATiDjNLWYqsQgT8+ZmfPYEOlEboepFYOocdQR4dpLhzB79gxc9pLLAs4jfPQDxwE4cbvR1Vl+H3NWnHZoYPhFP95QRXdefZrnAb7UwRGW8MCEc5tFi3VQrYVlojZMEheooSFEWI+11Y7dgSYzh2P3AMP7P1PGd35SREB167Umj0k6oOPRxOdtd2VoqRrMLNxscCb8mzQDO3vdfxbDLqWs4Gb93wLwBtCxNZRIWfHEkgMkBrmWOxv+LKV2IbKYykQccBHhDy+vwWHABz5dwe4jnpq4zIlogzwwts6E86X2oGhurgCuJQbISBMyQUNAUTtGAdchyLkUnkfRUaJY2VbFaf3TsGz5sp/PmTX7fVKMNs0lzW7o7argwQfuHVs+v23L/7gUvJyv4tfbAgyNhqjXJSKtEEsMd3LqqXWGWUAmVtvQFJZ1BVrcm6YWlll3YATKOA4MMXzw5jK+85MCAsZ0GN4CNU2ilYQgHY6H7RGRKUBnQZ7yOGQWnTaWsxZHe6+fthYlQXZrC57632hSrIilrR9PksOt7J+4YFAS2k8KCRFLTktiBaLpBRRxBocD111aw9++bRTTOkKlPBQckDy5N5FPqcRigQBCaUlsZaLpTkc1baWkdSUzUxuv8wgcRuH7DB1lhjOXcIwFwB0P5Pm+I6UtP7v3p2OUVY4PcEAR+0Zj+G37R+XGH2/IoVoXqNU5gkh1l03pBbTVTgI5CcizYKaTeksscFspaPFjJsBd4It3FnH73dpy27ruFP9WPm9GtDvQhONp2nq30pmkUuqyHpQM6LNBHmsZBRDytAy5rTkxBzexZCRlrVP+b1igjoM/ljAr5UmxTgpBtabc1o8baS2Nw/rmxjmDEwGvvqKKP796Ag7nqmefCelrDXkCdgEhjcwWCKQlr5X2jcRy21aa8JQ116zBcwiKvkTR53j56iqWLxYbR8ZH3taCfk8O8NUXXYKN28HHwlWSRz4cXR867cax/ZXGCyBb3ITl97ZchS383Am4E87NGAdxJdatz+O2dQU0aCs6ktCSpoAOySYyZEtBZNyDQBrktqG2HqQAbfy7z8xoH3NjSoxlJyODABmgx3JSkewbC+Os+obSttjGumsxlhRpcAvpaHEWhcclXnN5FZeuroFwbiVIZO8VyLkGdygJQglEUulWTBNX0ws00YQTK2PeJFmn0/XMJEecoOAV8LKLV8pFswJ+2WWXtpxfB5OMV1y5GuMT9dvWP7J5MQsOFz2XwHFI3FXYbhvSnIVjJSiQdNJCOhMnG520wE0iMIeDOsD3H8zjfZ9ux5M7vcQdmEpeMKDX1IQm4fiWKWg0ba2N9c6KrBSoWzRNyrjXUt6zzElwLNA3RzEzVtzart448S2nkpFNuQYNCpL1kxttOBWai6tQoq5aor0qVKeIqS9BtHdGEfWkQuGK+SH++foRvJcCP3ywoCvB6V8ah/WT38UlRUN7XIwHh+pFJ5VmwZu+alICUAErwSGpZhVFunJswwFx+iZm9a+6jbL8pHNMJ3ti4bwZ8vGNmz710jVLBitFiqLvwPcIPFfCdZJuwnYdbtV30ubaPBWRjAFtQvOEpxMZKFeLSwNuV+J7D/h4/2cqePIpG9xZy22EVCq/0gR0mqSwlgflWLmWTY9h22qSAncrKnLCllweZ7NVujVrpZtOBmlTEljcO23F03SFptPahC2rTagKFyzh5g2G0+ZE+MTbR/GKi6u6fkOiOIQwN/NYqKwgATQkUdxcEE1ZEkWikdrG6XAc4FzGbx9GEmEoUG9wjFeBwWGKyDlzcM9TWz9Vbp8tJ5viSS04AFxwzjKMjY/i4J5NYKSBtrxEPifhexKeK+C5pu+7hGuXLY7/twplassdh+YJ12lwSfg9KdLDQRzgew/k8VefrWDTjpxKOaNpXXdCVVS5U0fzbqM1sfMrKZqBbqxGEz2xFpOxVSY2yI99n3Z+P81hmW7biqeinTGoScLfzeUcSLi4seKmvbZOKiaaxhAo9WFSAEjALJTjRPlWJ18gsaI/wN//xSgkgB88UEijKWvJBRBRI0Ah8WckNM90WzaxFMszB7OmAyjhIPpKlcuVUOpYgrZS6ZjTeUyAd/f0NcJw4i3Ll8781sF9W4t5n8D3BHKuQM7jCch1e+yk4KVdL5AnwCeWpWaWxbbATSkHmMQP1+fxgc9U8MROA+5WVtsAXkUHbd4d97TUFjvJ0JFJ25RWVhyTW3HbnKcsdwv+fdxFpsUnU3X3DEAt855S3eniNjDlJWQS8k7rymXiGiQytuqE6IwfG/BIFqCQFETYXzL1M+N7HgAr+0N84u2jEILgR+vzqluriY1bEtsUyAFA6L5Awp6kpHxd8ilxfDT+rVxw1AOO2XN6JkKOt/T19jWeMcBFNCrmzJm7oZAno+vv3V50WAjXkfAcDje23qrJk+twxA2grIKYTZz7GJabMg4w4Me/8PHemyp40gZ3k/VOg9sUrG+qTJURMbWmJZPUHES62W26kE+6Foo5A1q7D08M6EgdYAv4MWhJ/ALT+ltaJ0kc4JFS+8Atnk6Q+McphdAnCdHVsIjm6QB0KprWrtgLgYynQgYRls0L8Q/vHIEEsO4XeXAD6li7YoFcApHUsk1O4pYowpy4GuSm7qAJJAopdcEfIAgl8r6Di9dcPDpr1twNBw4PTVYZM/XRLUelvRuFYvmIy4LrTlu2JCwXqij4EfI5jrzH4XsRcm4Ez40U0J0oKVesvSIOy7j+WLPFNveSAT99xMe7PtmOJ3cdC9xuE7iTfjoZamJpNlIeFBu4WaBapDu7vZXQKt7FvE5mnzk2vlttkK32sd1naPawGM6ektFa/vCsnzxVKSv2tNgtw1nKhSjjbY665w54g2LZnBD/cv0IXnxuDSzlOkwy9JM0OKHKUUigLgjqgiDgipsHnCDg6r7BiSruExHUAoJaANQawJGREKctXxlOVKPr2tvLR/p6e485v8cEOHM81MZ2oLdv9r7psxbuKLYV4TkB/FwEPxcgnwvhexF8z4DcAD25NVV8beEtoYwDLnDPhhze8Y8VbNmVa6EM1CKqycBNZcprkubfls/bArRd4bbJeqdXlqlQe5piGxdhAuYsfcni3IrdpPdrEdyxX5ANHhoebj4g7UO2F5Qm4kmsxaVZVBLL922DPKlRaS8+m0AuHPCAYvHsEJ95zwguXVUDMy5EO+3NdilqF2Itvqnya/UoudVCgmpIMKHBXQ8Jag2OYqmMFcuX7pi/YN6+x57chVzOxbHGMQEOAJRSbHny4V1j4+RNbe3LwGiIQj5AMd9AwW/A9xvw3BCuE8FzFMiduJOZVcaYRVaSsBV+zylw/2SDj+v/uR1bducgzYLyBGhJLIHNgNvO0JlMDmvAmPWWGDpCs8DOugFJGudo9f8JDjs30QZ2KrIXUxYSW+ymeiJ2wCflWUkAn/jJbZBno5lJ/x9uWXGug0EJyFWtFREwLJ4V4pN/OYyXnFtVuZ1BFuRhuriQlAg0yCcEQVUQVDnBeKRuowHFSINiuMEw1qCoBgIXnrsULo3e9LOfPbSLMXbceXWOt4Pf1o+gUYXr5Q8c3ov7c3LDmnL+EHKuutSo7HoSc0klpVUqQWKH4Ek6DG/Avfsoxfrf5HHDF0rYsssCd1Y4dRxwO1lwp3It7aq2Nshlk8VO3cOy+BkLnTHgzxjYNpizD41PwXDTeKGpzXmKrsAsMjXvJpaLMVtThSiQQ9NhEwRSvJlqx7T2rthc2h5xeeX4GwEhsGRuhJveNYIbviDxy9/42D3oAR6UP93IB4mEqvPGIClFRFRjrBBI6e4B5f+WHPAJx5KZFaxcsfT+V1x14YHxiRpKbYVnD3AA8HIFTBz96bZKpe1TNFqwZt192xFyipdfECDvuAhCBzKum2uAY6KWAiT2fSdZ8E6OY8s+Bzd+uYQ7H8pjYMS1wG0D2wa6taC0wO1mhFTpfpatuyzH+ZcWSLNak2N6QkgrPEtAa6OfBbYn5982iIlFVcwDkkT9bN+50asQNHP4GPSCQkDoa7p26VGhFptUGTKbCumfGs9XPBsNYOmcCJ9+7zDuXJ/HjV8qY+veHJCzwE0kQLmCn2BqzigFT82oAMIQFbeOyy8ax/CoxPz+l4HlS5/6+vd/ue21V19wQnN7QgAHgEL7XIBUNuweGLnje7+qXnPvQ1swND6AN1xZQ87NIeJOHEpVVWQVyFWEUEcq9b3jc2zb7+Kjny/j2+sKqEvHcgU6LYDdakGpfN1Zy50CN47h6zY4zS44oayIvcgkmeebvCUJ5psjoZPsmwVvaidNQ2BZahDECVOmsitgfN5WOJsYl5+ESS6ANphSZ6VDW2uiq2MZVwwRFARCucWNb1wnElMNdkglfMp6/1NXnBDo6+B47UuryLkSH7m5gu37PSBn7WkykIkWi3Ot3zfg5hGKrIrXX3kU77yugdHoTByO5t8xa/bCDY360InC9sQBTugCfP/Bw7tmzrzsnV3FXcylo1d//6EqrnvxBDqLXFkJPagGNjE0hQit6RZgnsT2/S5u+FwZ3/5JAXWiwW37tmla0w0tl1TgllpE1cy5DbiTgI5Me0xIJkx/DE9JS3df9rkMd5+SocGchOgtzCNj0Y3vjySW2JB181zC4RXHplLE3YmFUEbDpitCgzxFV6Ab8FAxOWXR2hgzD2GdIOdyXHdJDRDADZ+vYMd+V11uqQQkswBOoPT82t0lJSAiVIoBrlpVRyk/C2G46M4rzrroncC+3YTMP+HpPD5Lt8Y3vvwP+OPrXj5y1mmzV1b8PWuuvuBJLJsrIYWrYlFEZLwkJlyvF5c5iacOu/jwzWXcfk8RDaLzKEkrbYnKyiFEpS7lCJCjMtW/cjJw2y7B5LHxhVvy2FTaXZKKljoZYv+5qa+X3ocQsxgl8Y3G28225sfZqrWtJLspvz3090H6+WSRTDL5pCTR5hv9uvVaG5fZkzlJILbObmL88NnXmCW5HZ/UiRZCafGXLozQ08Xx6CYHIyNEo84O2WZOX0IAUNRDib0DBH29KzC3//LvHBnY/52u7hVPy16csAU3o3/uDBBv5ife2PnL+XfdN/M1BwcG0FF24LAwqfBKeExPCFFJxYEkePSxHP7120V8654iAsLSlads7k0z2hJqRShpCzcgmcRy2xaZWgc36znJcnEkIMguINOWOsVbmgdp+W9qyEnu7eeT50hqj5RmxfBvkkQ7kzQ3/UrzXJwwnLHegJWlQ9Wylhi+r1Sg8edRK+qqr97Utu5EAoQhigDX4fiDS6sAB27+dhG/2pxDgzN1RSA6KpQkmwKOqo7Q0SZx9rICHjuw6LZXzT/jEwf273m6cD2+mzA7Zs+ehZn5W0dmLur5s5HRJQ8cODIb1ZqvJKpOANcNwNwQjhvpYvQSNRB89QdFXPPeTtx2j9ZzO1lK0gLcVJV5MLTE6LtTEtg4W8cAOC2kStSDGa8JMtbM5s4twZzZMGWc5ASGjJnH5G5Ea8FovmCT+9AO9ogEmKnkB8v/HZfoM6WYTek+U+PQCgRxbuS1NAkCaV85jxhcTvCay6r43j8exetfMY4ijbSiKgKJQtAoAI0CEB6CCIKyx7Cws4j+rlkPDIt5f/ZXN/1gZMbMOU976p62BQcAUn4ddm7fWL3mlQuDfVv+E0IMYmgixKbHGeqBAyElZvVwnL40giASX/1uAR/6QgnDY65OzW9luZPqU9SAO8O3nVT4PQEyM+AFJgU3RTOw7YVmS0NsWfamRSeObbyfJZ5T92iy3FpkZSpJmT2MJdeATzyFOrRPzAmgF5fC0ImEalMAHKqsmuHkygUjIEGVFdcLTilVC23jQIP+XHXpTL65IAA4wChHd4njY28dA6PAv99RgGDAyiURZvdyCCFRbXjYtIOgFpYwo7sT513wyuB8SqvnnXPhM5rLZwRwAOid1g8pxcMsOn31w49uyd92bwU/2lDExJgAggCL5zZw0wdGsHMPw4c/X8LwmKOrJ2bFUumi9FRTEgNul2QoiQE3TWfmtOrEEHNWpBeWKUoyieVuilwCx2AiZArRrgCYSl2b5H1TElrr+9pURQFfxvzZ9L0kxAiy1KKSQidKWDROaiOhnDqqWha0fkTaJfsy3yn2Rxo9uWCIW6BEAp1tHH/3ljEIATy1l+Gm949iyZwIUd3B8JiLuzYEuP0BhtXnXl5bunj+w5Q+baIRj2cM8GKxDVKOfTCa8RL5f29+6i9/8stdPvMc0HwDQo6gp6uKwUGKL96Rx9ERpvhFzLMyicKx5VaUJEdlUj+QmpSzVgvHxJedWowZzo1kvybL2wKT6cVVBnYx0J4JiqfYzrcSaBnvi7bcRogVUxtiXqotuDT1S5QJFtRaIsbxDMSJCiCaj0OAxo12zJexF5jWL6bQZSj0fpQp1ySX6CwLvOmaGv7pP4oYGCRYPI2iOlFCrVbC2uUCq1ZOr5dnrflkI/I+1Ns1eULD8cbT8qJkx0c+8jFZ6Hvx/ZVCgc3tjlbXxyfY4LjAeUuG8A9vH8LacwL8aquLJ7Z54LZvO24EZfQlipbkKOBTqbUlgMu0r9vWmdAE7GmrblGSjHVP0RLbOwGkChi1KrSD+PnEG5JtJUjt51p4VZq3NXtLmrwi1u+y9wOsfYHUFSi5J2mvifHep6WPGnfN23S/Y4vPGwmA2W9ygtYc8dXSWOsKQ4lECODu9T5u+kYbNu7MYelcju6Kj+17enFwZFkwrW/+J0rOnr/tnHZm9Gww+owtuBnLZwdBd1fPxzdumgh4dPSjl60+SF+5uo5zFjL4xQiz+zhcShBIgtY5lGpB6Rlw03R5NYdmQu5ZQGTAmzyWLQFguHj2OE+2fiRNWybZ8SQNW61qDDdpsY/N020Db3g5MTz8WD9AqokSRAeJiIy7HSv5herLKamx5nbklFgnS+a4mGJCVJWmkKAIucCeQwwT4zms31zBOz/bjpedG2DR9Iro7p390acG+v852DsSPNv5e+bkRo9XvepaDI0Gtbn9C+64bM0Z8pz+Aqa3d2OiWoaIGMKQQGazb1IgJ7oopowTFszC0qXGglveElPOy/o/XQZNJzUDLa1bFiGpQ9wixp46GaYa0E8zpp9OisiE9GXz27UQJDZJae2UtlSpCWF5UwSxOl0r70rEafI4c0t5Xkyxfcl0epzyvBCp6l3CceH6bdh/sBOPbupAR99ZcsHC+Xe0Feq1y664+llP8bO24ADQP3cmypWOrQcPFt42Msj+dc/hB2ilNIYfPZDDnQ+0oQovk5GT8HEndgWmAe1Y1V5N5demwAgAIw1o6cPOLhoz+9heFGS2PR/HiXy3uE6s5bKOw/5xvJ/EZ0tSV1bTCYvDE5Nepq25IACVynoTKiF1+TVmiL71PdWcJoVXTVlnCCCCqjd49cUN3Lexhvseq2BeN8GrrrpYLFyw5G3zF87ZeuDgkSmZs2dtwQHgjDNOR7UaBbPPP+9LfZ3s3dN6i/j5rwN8+N86sWlXB+DkAeYlwAaByYA3jaBiPzfVQGcG8Or/WHeSLehpToQWHBZoftwSJfHBPC56nhdjsouJ7VWxw+bZnezEZSAtqY17bgrTAtBqEa6LPmWtd8RV1w+eSVqOE5q1/txo0Tl3EIQ+Fs9i+Oibh3DBiqPIlzoxXnfevXTZuV8aGBgP5sxdPiVzNSUWHACWL+tHFO7lMy+4avvmzYWxW9ZNlDbtlfDafARcQPIAql4G4hCj8W27lvU24E76ViZVXwGrFQbSFjqLgBSPti15FinHGTGflSe2/0kd5JgP9e9robs1HhTNsYlWIwIJyI070X5novcx6xkQVeoB2pJTKVX3Bmq1PnTUh1IiIahI1xzU34dLhjDyMDbhor8zxIdfz3AU54+tOG3N9o1bDvPTlyyYsimbMoADAHPyWPfL8M4l8y75i5dfUfxkvXZP5/b9Y9g1wRCqii86MsDUJCGp+hpzbpaUNzbgnrxmSfN30PN/XDA0v04hQWbfNw6otPqwE3jjZznsCw+Z7ElYV6n4Xk769SQ0yJt+Sub0iMFvAC8hNF0x7QsFUW29mdafQLe44VyCUgpJiXZdKrriMIEwIgg5w6HBNgS8D6ctu+Roz+zzrqfkwJ079vZN6fxNKcAJ6QIADA+P3Pra37/Q6S3JT/zXI3f1fOHuARypRqjkIwyNeap3JZVgWkgVg1zTElPw3NCPlK4ErYEdh7ETetniCza/BsTCKUkeNylYSfPrnqthn7Ctfrvhu5BoomaTB4lIE+US1iK25YLbyG/jKsGqiI+UBJKJ+MUGzEzTFAIlty34DYxMCLTlCQ4NE9y/eRkuvejygY5pF/3vRi28tVBcNOVzN6UAN6O9vYKxsYmvXHbJGlou7vjYN+8/0LPs9DFcvbqKH6wv4P7NDKHMxRTFoRIus7g3Szwmzaq5VgcLaV2GdXxseelxMWlcceQ4O00VuqfgbWL6kH2/yS46svkKZXtYzD6Qlnow+5WNTEKoxaagMnmNAxDOQInUxYOUi1HICD/9DcX3H2rDy8+vo7eDgpWWDMxfdOEHwiD6yvHqmzzT8awCPccaH/vY36Mw5+xf7R7MD8yskLV/uPZo/tUvCjF7WhXffbCIgOdRdCmKjkTOATxHwtPgdplpWWHcgSS+UZp0SzASVHWgMydAhncbmXErDXjsjSHJYjOlRIwDFtqXngrsPHeBnrTsN/MeKelvOl5g/944ypkCvZ3HqWsVwsq01wnJPK4jmLgUpaRJVr9FqJTVVk0NfC9CGNXxns924Zs/n4EDh0tYuei0oy9Z1fnesPbEVzp6V50sGJ4cC27Gh95yLe7/yW23YFF/QLj7uUODj5Ty3pBSRBICn0l48Q26QlYCbNPkyQZvStSDpBZIXJSS6NQ/XZopW1g+Va/fHOzMQSfIWLpYzYQUhUHm6akcMVziFa7Nw03qV/I7DO9O1in28zJtta2JNJLapKlvurwE9P/mW6jW7kkwLW43wkTKM0MIA+USTsSVolAS1Op5dBVczJ+5cOypgXnvOHi/959/+rprphp2qXFSAQ4AkniiFnXd1t0mI+oP/fumpx7168JH3iMoxNZbgVuBPOnJkqgBSQw6NdFJBI1YklBTYxpSxko6Al1KoemLWQ6dZJP2CSdSU/UbjAci8/qYxmbJ/LMbTYvk2H8vm/Yj2RMgo7uhcZhcNr1hzLkzMlq7G7FM/W8DOAE4pVJbd5EYCWLkFC7qDQ+e52HOjCrau05vLJo//Y0LZ3jfPjTUOGbRnqkYJx3gay/5fRzZ+SXeNa/r2z/68Uz+4Fbvaywa8LvLEkVXtcnwHAnPAJ0RuA40HUlfZmM/rzD1PmTcAkNaU2UqgulIs2WtMuiQib4/fn99cOLPIonVlE0Qs31wmCIz3ry6sxfAtgIyttjEArZlySmVqSBY8glS+8lJAvLYctsljY0fHOkaKyaH0zgBqMp+F8Ka49QJKlEhebzrj+Y2/J5rx/LFeQ/xaIJfPq9zasHWYpx0gANAd/+f461/+zVeWbb8O+3lva+74rzCV3fv2lVwmYpkugwa4ASeq0DusKT3pKIa0joAqn60FARcyATIwlAL5QYzZcdSVcds1V16U5zrqzJgSFLc1V55PsfBHjLJY2JZdZuWGKse98u0TlD1I9XVUMRelzRwDdfmIg1wobfZQDcRTkYJIibhOnEPbEWRAEQRQa1O4fj91bkzet7Q3T/vfsAbULUkTv6YkkjmiYx//evXgm0/JNf0bvnWhadPf+P5K2eP+K6aeMf0X/FUJ1s/R+DnKHyPIuepBqA5V/VEdBmJeyZSphoTMd2BK27FZ31utluAaPF/3F0A1r4aEwl3z2i00eL/KRqt3jKmIyQBT7PADFoUJS1hWgL0pIyGft5EYfTvFbrbAo8BTRBxdQs5QRgRNEKCRqButQZBrUHjWz2gaDQogpAiilTL8CBkCOnCkYlo0Rs/+7Xyt/Zv/fpBQgg/ocjxFIyT5kVpNe5f921c9NI/Q1dnx+PT+jr39/b1rT1ydKzAgxqKPkXeo/BzTAObIecxeA6Fw2jcXzKZFlMghuiDnrT6EClLrwqpS6RBPOkqMQYMSQGnSTJrbYvXCVPkRWmZFB0/1n3oTV2XOAEk04c0Do7Jpvcxn2sWjUkqmhFV2eF63ZGBq64KYQQEEUEQEoShAn3ENY3RZx0FwGiESnsJfTPPGswVZl2f8wtfnzszxNKzXv9cQu65oSj2eNc73gAAOHB4+BbXdZx5s3s/fve6n/YE9XHkPIq8T+F7DK6jLDMI9OSqCBhR9UthZEKESBBBwDWvlLoSqQF60v+FNHlQiJQxkIgFfqGfk8TyHiBzYtjRoJMc+MkGbJITL6Ek1KIlcXvGFDdPfnxcDAiajmn+xrkuSs9pQlG0RY+0BQ9CVZEtjHQHCKhGd56jTgpAgkiOQrED0+auGZg9f/X7hYhucXMnn2+3Gs85wM2Y3tuOifGJL1/78jWkXCAfu3vdvT08nEDRd1HIM+R0d2UpVdncRsBQawgIoQo3Us0hTEsMKpRlNC04hH5dKEi8+Mn6wdVrkRTY1lnhBNANbtM3S2QNUPLs2cmJnBi2P5+0ArbVnpEkIjRqPU4WmjJef1BJIIjKt+RcxhQlihSQuTVnBughBxohUGsINAKhXic1wF2mXhdxtPWV0b9k7cD0uas/EHL5Zd8vnyqYnTqAA0CxrYjx8Ykvrb34/Cjvu//yq0d/0SHCERR9gXxO9QGSkiCICMarykI0AqJTZg2vNM1OjbuKQkIg5OpSGmoLniq5gSRQospkG+c5dMUn6IJLpoBO8no7MvpchOvJZBubgjxSN/uC1UVaWlbdsuJxDEGAEgohgHpAEXLFo8OIxC5UOwgmparPPVGNMFFTXfegAZ5zOcI8Q0dnD1aedeHQgsVnvReQ/+77x68feDLHKQU4ALS1FRFF4a0XnH/O0drE4IJiLrhxcP96t9Qm4FC1uOGCYnjMRa3OEEUSQZhMrGMtNBUF4RgclRirA42IxAGf2AIisXwxyM1RpDIunWdSDlOspJVIZQrGiV4JkmWCBi+sfqQW904afyULzbh3qW3NQSAcAscRCEIH1TrF6ATVxgK6F1OSbKIWmgIDwxyj4wKRkIgEAClQyElcfeXqsKPdf9+CxWdud13/B67nnuAvO3njlAMcABzHFfv3brvzgouu8uqjT1TnzqjdPHJkPQkaAS0XCRpRhJC3YbzehgNHI1BI5W2hFA4jyOUofJfB84BZfcA4r+HhPS5cRuEzu+uDnfZG4opYLKYtuhOvhNVHXcbRvtgXbqKfZjQBfmrPAOPzVt8RZgGRLD5Jmp4k/ZEkmC68ZDfljRvzEgHH4fDcEL/dE+DJp7rhOQw5jyLnKj+56wjkPImcK9BeijBRFRgLQuwcBqKQIZ/j8PJ5cdGqM+WCRYvefuG5S766c/eBYPmyJacaVgpbp/oLmDFj1kJMDG0MSj1dt/o9M3/2jc1nvbrEDv5dZ+U3uP0hH1t3uFjeX8XeTQS+pOgtAzlPgjEC32MoFwkqbQKzegNccPpRNKTAnQ/3oZD3UGQSXmyxSapfppBJKw1oXk5gslcSl2GrlLDsSIfXn95I3j/dn8d+72Z9TbP1TvojKaCrupAJXTEgd5jqyFEuVvGjDRKfvKML3W6IGd0c5aKDUtGB4xAUAOQ9gZ6OOqgzhl88mce1ayWe2DeGr9+dx5Wr5+DslV0fnkD/t3p6+vY8sulAsOb8ZacaTvF43gAcAIodKwGg9k9f/O6Wd//Nqz++657vej99xPvgrzcdYYunU6xaWsUjOxt4cmsn2gvKXeY6FPkcQakg0FGK0F4KMHd6hJeeM4Hv3V9CzXUAUAi76xokKFFd2QSS2ttmnUmI5S8H0uKkDMjizXakEXa0sfVvjWuX6PdPJSVYnhr7xDLyErunULy4JDLV1c5xTGcNgabW6lS1fPScAIV8FXc92o4tB3w43UBxnCu5skOQ8xxIAJ7L0Vmp4rGnRrFhcxvafQ8XLkGjt7dnbLix5OY/fW3941sf28EXL7/4VEOoaTyvAG7Gu9/4ezi04xbeO/9Nf3PFgSNOb/tD764O/TpXKozhDVcN4V1bOgCo1s45lyCfkyjmBUqFEEU/gMO40mBIASElQqF+aBSDU7f6JoArlcdEUVNzqdfNj3T7vZapA6mw+eQmm7T4b9KRAbqc/M1ikKsTMmmd7jBFO1T/Uq5bN2b4NzENe9V2KVWPyvEGMF6TyLmKkjRyEhE3cYYIX/mhi3qDYajajhpW/Lyn8ze/NzZYEjd82ucf+V+/f6ph03I8LwEOAH3zX4eBI2OY0cU/2HXpi+jg4Tmr9237Ft11KFoteeQ4jgPfo/B9imJeoJiPUMyr9iogdWze6wBODg6lcCkgoDwq3HhToCpo+dJ0h1RgZUSCCqVFnzQolB2x5SZpQFsuyUmHxecl0ota+7NMd+Omj6UJuE13O4dx3f2Ow2ERKBOxKDFpU0JULmXoYtmsOjzSwGgjj/YGkG8I5Bsc+QZDvcHQCAiCUOCiM8vR9j1d61/9qleK05bMfwTk1fWuzsqphsoxx/MW4ADQ0x2L4D/wvhu/Acc5o1SvLv7CmrMP/YEXDdB8TqAtL9GWF2jLRyjmAxTzVTz+FMctP+2F5/souaoURV0QVDnAG6r7LggQuhSBwxBpnsCg9eeWDziL53R2Pkn9f0xAW9tin3ori23pZ0z0lWZPMus9DRdXi0sZg9tzQjhOhJwbws9FIESCc4aJmgceuYi4g4g7GKXAH14yhh8+NIxHd/oYbxAUGhJ+XSDnRRgZE+hqL8DJLxcfenP5dr/kvVkGvxyj7Wefanic0HheA9weN77vj7DxiR1jOd9/x4H9+7dtefKxFb47fg2vbkNbQSLvc5SKAQZHa7jxG+2ohRVMayMouQJCAIMNCoQRZrUPw3dCRJxi30geQZCH9FyVPkcAR6j0OSEziz3L8sd/syRbh9HNc8TkKU4y7AhprEkn9nbTn6f1Qte4CalFOxRFieC6IQq5Oght4NAwB+eAwxg62oBqw8dEzYcQBI3ARaUk8Z4/HsI7PlvC0Wob2nICjEQIwxDz+5egs7fzjp45Kx+npb6bxhqNsXLHiRegP9XjdwbgALBy2XwAOHL40L6/Pn3FwrmDh36L0cHKNUOHN4FiAC6r4j/uZXhwYzdmdDJMaxPIeyq0PNyQOG/JEK5/1WF0lyLUuMQ31xVx691dCFHCBHHhEYIckylBlh0gSrQoSRH8lKYkC+hjUBO7hqCtuG3qmmbkwUQ20yUrsmm3S3edCAW/jmK+ilvXObh9XTvqkYvOssBbr61jXq+DI0NtCCKKfC5ExBkuXBbhurVH8cU7fYzXOHo6Srhg1Qqcc9aSO84+Y+n1I6MTu3KFmacaAk97/E4B3Izevplo1I7sapu35L3DJffW7t6F72yMbVxL5b347i8oOsoe5nQI9FQIykX1E09bMIYrV4dYdVoZhVyEnF/DkmkTgJT4z59TNMIy6oyiIJJOu/HQHDvp3JAFfNL9AbCEWkjA32rYnhSZoiU6690Ct/HLJ8kbsW4gSfKlin/7bgBG6/jaPQ7+7pZe7DjQDt9z0eYJjDcm8NLzHDjIQ0qK9pKHIGBwnRCXnzmAOx5guGrtuXjR+YvvKxQKNy1fuuCxiVq4a+6cWaf6sD+j8TsJcADI5bsBYJuUchuAxwf2VKfn22Z+/rKL9i586P7NbHqHwIxeD9O7GaZ1T2BoPMLYWC827wA6yjW0lyYwvWsUb3plDb/ZOobHdhcQejlEMkNPMnJUu52JKvRpwE3SnDyTIJrFeEzDZTMnj7XZWshOCFH9n2J5r/5+MnlvEofqOfL5AL/dK/HF73Zh5+Eu9HY66C1KdBYY2r0yHtsRYGgkwPSKg75OhkYjh0K+A3Nmn80/9NaztjHp/M+XXn7RAQBbnitZ68kav7MAN0MfgC1S7t0SRvzKS1b3zbzmJRfevvHXD5WLzt7irK6j2LB1HPf8MoeV/XldplpFIxkVOH1egGtfPI5N32gH5572hgv93mmrHUtWKWJ5gPJFW3mKSX5Z7FWx1YAyQ+vjvFBjzY1OxOrzzoXSxlBdeMexgZ660kg4jgDnEW7/eR6/2NGOzpKLaUWB7jaB3naGlfMdrFwyjnUbqtjwWAVnLC5hXv+Cif6Vq0cdNn7dhZ1z9oE4u37XgW3G7zzAzSBkFqQQu65cO2fP8PDE8uld8oK2fPRvNNgYPbJ3cydhtZLLCIJQYmjUAaM+cl6EzoqHrnIIRnjsxkhxayBpRKUz+x1GrJQ6EofP44QE2FY/Y9WRDh410RT9e5TEwwBYgnCiLLRVGDOx9CaTRhflkQKDox44z6HDl+jIC5R85QINIwqKAubMaRvzO885etVFC5xym/Omrt6Fv/ByhZEeCUHoCwPcwAsI4ABAVCcA0ZjYO1ScMe2uMBhZXOj+XONlV3ztPR3lR/5E1HaHIxNDSwPh+4yNoq3gIAwdCKE05oRYvX8skFMYcCvL7ThJCYvJDF0SaURc2gLQQSOhdrC5tx0Ztfk4MXICnUbHqARnJtKariVoyjyYEKpLCfIOR5svMX92GZ0dQZ2xrs2l7gXun7zorFunTbvhH1/z6xty3Z3l+q59w2LxguKpPoRTPl5QADcjV5wFKBhVt2x/Crmcc6PjsBtHndnM7Vx889w+Z7Erdl3MnG0MZARcRuCRhO/q0s0MYExaja10GTlG4DpKHuAw4zGRcQK0NPexGzGx9EajLo18V0jIzAlCLBpjFpSAisCaZALGCDxtseOGUVYxzCgiiEIJl1Hkcw56u/I494xp/KJV8x9YdXpty8CR2tsODDDu5/IYPPJ/ZFf3vOqpPl4nc7wgAW6PxQvmAcmVPxobG30zZbmOoDbw98P77vS83CiX3qyzzzu9+5zDh0YR1kcBD3CpqoJrCtoQoqiJ66q0OsdR/DrS2UYRl+DGxcGUdY1L0JnEjQiIJBBGKr9LcXgKx9FVc/V+nJssGoDr0KvrGHVfHKcCgUTEpWqzLQU8J0QkSpDuDKxYwh7pfrT86Fmn97M3/Mllwczp3X9VrTWGFq1sP9WH5DkdLxyy9QzHJ2/5CQCslTy6Yni0dl1Un1jiyip2bt+KkfEQR0fr8BhHRxtFZyWHSimHUpEi5yoQ1htAvSEQhAKNkCPiUgvAGIp5hryvKgYICVTrwHiVo1bnEFLv5zMU8xQFXxU9ijhBPVBrhXogUG8ICCHhuRSlIkOpwFHOB2gvhygVJSJRRD3Mob9/Hro7KPIF77dernh73qd3Synv8zqenxqR52q84C348cb1r7sUAO7bdWDoPgD3Cx4uGB06Kr7xH4fEzNkd/aVK1/v37dmD3k4H1bGjYBhHe1GisxxBwsH2fQ6EJGhEHAcGAziUoFRk8FwK1wHa8hLlonKJHB6iGBgSGByOAAK0FRTIGQUKvkQ5H4GyEHsPuwhCFzwS2H2wgSAIUWmj4NxFV0cXps/qQkepimnTp2PgyOjHd++d2Dl97lra0VGhjLHtAO5ycj2nemqfF+O/PcDNmDu9AwDuMo+37jqMvJ9r3/HUgfW/9h10lWnY3bniLws+Lq8UOXJeAw89/F+YiGoIhIul8yOMRxJbn2LoagTIORK0XaJSDNHbOQ7XCRFFRax/3MGOwyF8JjGtTOEyga6Ki/ZigDnTI+we5Dgw7GDhdAfVYgN+Wxlz569CqeCg0uagreCs81j1X8rFmts74zTMWzLjvnN4Y5jlZpzqKXxejv8P8EnGorm9ADAM4HsAcPDgQQDYTInoy7lCCFHHePAkAtkAlw6m91CU9zfCVRdffIMvxl4xs12Gs/oYZvQEODQ8isf2MMztzeGyNS5mzRjD1j0EAwMFTO9yMKOHYuFs7s7oY9//1V0P3TA0UXHbChTMlejqKeC881bA9zzkPEpznnMIwM6e3qmto/1CHf/tOfhUjs9+60EQkL7a4MHKtHIkp/cwTOtq4IldY1i/yceFpzko5hnOXjmCh58g2LKthN4Ohr5OigWzOZk5ozIiJQ75nVed6p/yghn/D2Oud7AYXj5WAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE2OjQ3OjUyKzAwOjAw83BshAAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNjo0Nzo1MiswMDowMIIt1DgAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 57000
{'hecke_orbit_code': 33554508, 'n': 1, 'trace_an': 1}
-
id: 57001
{'hecke_orbit_code': 33554508, 'n': 2, 'trace_an': 0}
-
id: 57002
{'hecke_orbit_code': 33554508, 'n': 3, 'trace_an': 2}
-
id: 57003
{'hecke_orbit_code': 33554508, 'n': 4, 'trace_an': 0}
-
id: 57004
{'hecke_orbit_code': 33554508, 'n': 5, 'trace_an': -1}
-
id: 57005
{'hecke_orbit_code': 33554508, 'n': 6, 'trace_an': 0}
-
id: 57006
{'hecke_orbit_code': 33554508, 'n': 7, 'trace_an': -3}
-
id: 57007
{'hecke_orbit_code': 33554508, 'n': 8, 'trace_an': 0}
-
id: 57008
{'hecke_orbit_code': 33554508, 'n': 9, 'trace_an': 1}
-
id: 57009
{'hecke_orbit_code': 33554508, 'n': 10, 'trace_an': 0}
-
id: 57010
{'hecke_orbit_code': 33554508, 'n': 11, 'trace_an': 5}
-
id: 57011
{'hecke_orbit_code': 33554508, 'n': 12, 'trace_an': 0}
-
id: 57012
{'hecke_orbit_code': 33554508, 'n': 13, 'trace_an': -4}
-
id: 57013
{'hecke_orbit_code': 33554508, 'n': 14, 'trace_an': 0}
-
id: 57014
{'hecke_orbit_code': 33554508, 'n': 15, 'trace_an': -2}
-
id: 57015
{'hecke_orbit_code': 33554508, 'n': 16, 'trace_an': 0}
-
id: 57016
{'hecke_orbit_code': 33554508, 'n': 17, 'trace_an': -3}
-
id: 57017
{'hecke_orbit_code': 33554508, 'n': 18, 'trace_an': 0}
-
id: 57018
{'hecke_orbit_code': 33554508, 'n': 19, 'trace_an': -1}
-
id: 57019
{'hecke_orbit_code': 33554508, 'n': 20, 'trace_an': 0}
-
id: 57020
{'hecke_orbit_code': 33554508, 'n': 21, 'trace_an': -6}
-
id: 57021
{'hecke_orbit_code': 33554508, 'n': 22, 'trace_an': 0}
-
id: 57022
{'hecke_orbit_code': 33554508, 'n': 23, 'trace_an': 8}
-
id: 57023
{'hecke_orbit_code': 33554508, 'n': 24, 'trace_an': 0}
-
id: 57024
{'hecke_orbit_code': 33554508, 'n': 25, 'trace_an': -4}
-
id: 57025
{'hecke_orbit_code': 33554508, 'n': 26, 'trace_an': 0}
-
id: 57026
{'hecke_orbit_code': 33554508, 'n': 27, 'trace_an': -4}
-
id: 57027
{'hecke_orbit_code': 33554508, 'n': 28, 'trace_an': 0}
-
id: 57028
{'hecke_orbit_code': 33554508, 'n': 29, 'trace_an': -2}
-
id: 57029
{'hecke_orbit_code': 33554508, 'n': 30, 'trace_an': 0}
-
id: 57030
{'hecke_orbit_code': 33554508, 'n': 31, 'trace_an': 4}
-
id: 57031
{'hecke_orbit_code': 33554508, 'n': 32, 'trace_an': 0}
-
id: 57032
{'hecke_orbit_code': 33554508, 'n': 33, 'trace_an': 10}
-
id: 57033
{'hecke_orbit_code': 33554508, 'n': 34, 'trace_an': 0}
-
id: 57034
{'hecke_orbit_code': 33554508, 'n': 35, 'trace_an': 3}
-
id: 57035
{'hecke_orbit_code': 33554508, 'n': 36, 'trace_an': 0}
-
id: 57036
{'hecke_orbit_code': 33554508, 'n': 37, 'trace_an': 10}
-
id: 57037
{'hecke_orbit_code': 33554508, 'n': 38, 'trace_an': 0}
-
id: 57038
{'hecke_orbit_code': 33554508, 'n': 39, 'trace_an': -8}
-
id: 57039
{'hecke_orbit_code': 33554508, 'n': 40, 'trace_an': 0}
-
id: 57040
{'hecke_orbit_code': 33554508, 'n': 41, 'trace_an': 10}
-
id: 57041
{'hecke_orbit_code': 33554508, 'n': 42, 'trace_an': 0}
-
id: 57042
{'hecke_orbit_code': 33554508, 'n': 43, 'trace_an': 1}
-
id: 57043
{'hecke_orbit_code': 33554508, 'n': 44, 'trace_an': 0}
-
id: 57044
{'hecke_orbit_code': 33554508, 'n': 45, 'trace_an': -1}
-
id: 57045
{'hecke_orbit_code': 33554508, 'n': 46, 'trace_an': 0}
-
id: 57046
{'hecke_orbit_code': 33554508, 'n': 47, 'trace_an': -1}
-
id: 57047
{'hecke_orbit_code': 33554508, 'n': 48, 'trace_an': 0}
-
id: 57048
{'hecke_orbit_code': 33554508, 'n': 49, 'trace_an': 2}
-
id: 57049
{'hecke_orbit_code': 33554508, 'n': 50, 'trace_an': 0}
-
id: 57050
{'hecke_orbit_code': 33554508, 'n': 51, 'trace_an': -6}
-
id: 57051
{'hecke_orbit_code': 33554508, 'n': 52, 'trace_an': 0}
-
id: 57052
{'hecke_orbit_code': 33554508, 'n': 53, 'trace_an': -4}
-
id: 57053
{'hecke_orbit_code': 33554508, 'n': 54, 'trace_an': 0}
-
id: 57054
{'hecke_orbit_code': 33554508, 'n': 55, 'trace_an': -5}
-
id: 57055
{'hecke_orbit_code': 33554508, 'n': 56, 'trace_an': 0}
-
id: 57056
{'hecke_orbit_code': 33554508, 'n': 57, 'trace_an': -2}
-
id: 57057
{'hecke_orbit_code': 33554508, 'n': 58, 'trace_an': 0}
-
id: 57058
{'hecke_orbit_code': 33554508, 'n': 59, 'trace_an': 6}
-
id: 57059
{'hecke_orbit_code': 33554508, 'n': 60, 'trace_an': 0}
-
id: 57060
{'hecke_orbit_code': 33554508, 'n': 61, 'trace_an': -13}
-
id: 57061
{'hecke_orbit_code': 33554508, 'n': 62, 'trace_an': 0}
-
id: 57062
{'hecke_orbit_code': 33554508, 'n': 63, 'trace_an': -3}
-
id: 57063
{'hecke_orbit_code': 33554508, 'n': 64, 'trace_an': 0}
-
id: 57064
{'hecke_orbit_code': 33554508, 'n': 65, 'trace_an': 4}
-
id: 57065
{'hecke_orbit_code': 33554508, 'n': 66, 'trace_an': 0}
-
id: 57066
{'hecke_orbit_code': 33554508, 'n': 67, 'trace_an': -12}
-
id: 57067
{'hecke_orbit_code': 33554508, 'n': 68, 'trace_an': 0}
-
id: 57068
{'hecke_orbit_code': 33554508, 'n': 69, 'trace_an': 16}
-
id: 57069
{'hecke_orbit_code': 33554508, 'n': 70, 'trace_an': 0}
-
id: 57070
{'hecke_orbit_code': 33554508, 'n': 71, 'trace_an': 2}
-
id: 57071
{'hecke_orbit_code': 33554508, 'n': 72, 'trace_an': 0}
-
id: 57072
{'hecke_orbit_code': 33554508, 'n': 73, 'trace_an': 9}
-
id: 57073
{'hecke_orbit_code': 33554508, 'n': 74, 'trace_an': 0}
-
id: 57074
{'hecke_orbit_code': 33554508, 'n': 75, 'trace_an': -8}
-
id: 57075
{'hecke_orbit_code': 33554508, 'n': 76, 'trace_an': 0}
-
id: 57076
{'hecke_orbit_code': 33554508, 'n': 77, 'trace_an': -15}
-
id: 57077
{'hecke_orbit_code': 33554508, 'n': 78, 'trace_an': 0}
-
id: 57078
{'hecke_orbit_code': 33554508, 'n': 79, 'trace_an': 8}
-
id: 57079
{'hecke_orbit_code': 33554508, 'n': 80, 'trace_an': 0}
-
id: 57080
{'hecke_orbit_code': 33554508, 'n': 81, 'trace_an': -11}
-
id: 57081
{'hecke_orbit_code': 33554508, 'n': 82, 'trace_an': 0}
-
id: 57082
{'hecke_orbit_code': 33554508, 'n': 83, 'trace_an': -12}
-
id: 57083
{'hecke_orbit_code': 33554508, 'n': 84, 'trace_an': 0}
-
id: 57084
{'hecke_orbit_code': 33554508, 'n': 85, 'trace_an': 3}
-
id: 57085
{'hecke_orbit_code': 33554508, 'n': 86, 'trace_an': 0}
-
id: 57086
{'hecke_orbit_code': 33554508, 'n': 87, 'trace_an': -4}
-
id: 57087
{'hecke_orbit_code': 33554508, 'n': 88, 'trace_an': 0}
-
id: 57088
{'hecke_orbit_code': 33554508, 'n': 89, 'trace_an': 12}
-
id: 57089
{'hecke_orbit_code': 33554508, 'n': 90, 'trace_an': 0}
-
id: 57090
{'hecke_orbit_code': 33554508, 'n': 91, 'trace_an': 12}
-
id: 57091
{'hecke_orbit_code': 33554508, 'n': 92, 'trace_an': 0}
-
id: 57092
{'hecke_orbit_code': 33554508, 'n': 93, 'trace_an': 8}
-
id: 57093
{'hecke_orbit_code': 33554508, 'n': 94, 'trace_an': 0}
-
id: 57094
{'hecke_orbit_code': 33554508, 'n': 95, 'trace_an': 1}
-
id: 57095
{'hecke_orbit_code': 33554508, 'n': 96, 'trace_an': 0}
-
id: 57096
{'hecke_orbit_code': 33554508, 'n': 97, 'trace_an': -8}
-
id: 57097
{'hecke_orbit_code': 33554508, 'n': 98, 'trace_an': 0}
-
id: 57098
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