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mf_newforms • Show schema
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{'Nk2': 1884, 'analytic_conductor': 3.760953935202306, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [157, -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': [471, 1, [158, 319], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, 1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660925399, 'hecke_ring_generator_nbound': 2, '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': '471.2.a.b', 'level': 471, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 157], 'level_radical': 471, 'minimal_twist': '471.2.a.b', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta q^{2}+q^{3}+(-1+\\beta )q^{4}-q^{5}-\\beta q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '471.2.a', 'trace_display': [-1, 2, -2, -6], 'trace_hash': 58681140390479971, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.995', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.942', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '69.628', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, 'traces': [2, -1, 2, -1, -2, -1, -6, 0, 2, 1, -1, -1, -3, 3, -2, -3, -4, -1, -6, 1, -6, -7, 2, 0, -8, -1, 2, 3, -1, 1, -3, 9, -1, 7, 6, -1, 6, 8, -3, 0, -16, 3, -18, 8, -2, -1, 17, -3, 4, 4, -4, 4, 0, -1, 1, 0, -6, -2, 2, 1, -16, 19, -6, 4, 3, -7, 3, -3, 2, -3, -1, 0, -11, -8, -8, -2, 3, -1, 0, 3, 2, 13, 13, 3, 4, 4, -1, 15, 1, 1, 9, -1, -3, -16, 6, 9, -8, -2, -1, 4, -17, 7, 3, 5, 6, 10, -3, -1, 13, 7, 6, 9, 20, 8, -2, 3, -3, 24, 12, 0, 1, 13, -16, -16, 18, 3, 15, -25, -18, 1, 4, 8, 18, 11, -2, -10, -12, -1, -18, -3, 17, -7, 9, -3, 1, -17, 4, 2, 23, 4, 5, -10, -4, 21, 3, 4, 2, -25, 0, -9, -6, -1, -5, 3, 1, 11, 9, 0, -19, -7, -6, 14, 3, -2, 24, -21, 2, -33, -4, 1, 1, 3, -16, 0, -6, 19, -13, -1, -6, -8, 6, 4, -8, 9, 3, -2, 10, -7, 2, 0, 3, 26, 3, -3, 16, -19, 2, -3, -12, -3, -28, -10, -1, -1, 18, 0, 9, -24, -11, -8, 1, -8, -12, -27, -8, -5, -7, -2, 17, 1, 3, 5, -33, -1, -17, -26, 0, -21, 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-35, 97, 2, 13, 63, -99, -10, -10, 4, -51, -2, -18, 7, 45, 4, 37, 21, -2, -24, -72, -25, 6, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, -1], [1, 0], [-1, 1], [-1, 0], [0, -1], [-3, 0], [-1, 2], [1, 0], [0, 1], [-2, 3], [-1, 1], [-2, 1], [0, 3], [-1, 0], [0, -3], [-1, -2], [0, -1], [-2, -2], [1, -1], [-3, 0], [-3, -1], [1, 0], [-1, 2], [-4, 0], [-1, 1], [1, 0], [3, -3], [-1, 1], [0, 1], [2, -7], [5, -1], [-2, 3], [2, 3], [3, 0], [-1, 1], [2, 2], [2, 4], [-2, 1], [1, -2], [-7, -2], [0, 3], [-10, 2], [5, -2], [-1, 0], [0, -1], [7, 3], [0, -3], [2, 0], [0, 4], [-1, -2], [3, -2], [2, -4], [0, -1], [2, -3], [3, -6], [-2, -2], [-1, 0], [6, -10], [1, -1], [-7, -2], [7, 5], [-3, 0], [1, 2], [2, -1], [-3, -1], [4, -5], [-1, -1], [1, 0], [0, -3], [-2, 3], [-1, 2], [-10, 9], [-2, -4], [-4, 0], [0, -2], [6, -9], [-1, 1], [-5, 10], [0, 3], [1, 0], [2, 9], [10, -7], [3, -3], [1, 2], [-2, 8], [-1, 1], [8, -1], [-6, 13], [0, 1], [6, -3], [-1, 1], [2, -7], [-3, -10], [2, 2], [5, -1], [-3, -2], [0, -2], [-2, 3], [4, -4]], 'ap': [[0, -1], [1, 0], [-1, 0], [-3, 0], [-2, 3], [-2, 1], [-1, -2], [-2, -2], [1, 0], [-1, 1], [2, -7], [2, 2], [-7, -2], [-10, 2], [7, 3], [2, -4], [6, -10], [-7, -2], [4, -5], [-2, 3], [-10, 9], [-5, 10], [10, -7], [-6, 13], [-3, -2], [-5, -7], [-2, 7], [-2, 1], [3, 7], [11, -2], [9, -3], [0, 4], [-4, -4], [-10, 2], [14, -5], [-3, 11], [1, 0], [-10, 15], [9, -9], [-6, 15], [-9, 14], [11, -21], [6, -6], [-5, 2], [-1, 12], [7, -12], [-11, -6], [-11, 10], [-1, -5], [4, 9], [-21, 9], [-7, 0], [-7, -13], [8, -1], [-20, 4], [1, 0], [-26, -1], [-2, 7], [-5, -4], [-14, -1], [-1, 2], [-14, -6], [16, -8], [5, 0], [8, 11], [10, 2], [19, -1], [17, -10], [14, 1], [-17, -4], [9, 15], [11, -9], [-11, 6], [14, -27], [-3, 9], [-6, 4], [-9, 23], [12, -17], [10, -14], [-7, -5], [17, -6], [18, -11], [29, -4], [-10, -11], [5, -18], [16, -12], [17, -16], [-18, -13], [8, 3], [25, -9], [2, -12], [-9, 27], [19, -26], [9, -24], [1, 8], [21, -14], [-23, -2], [-28, 24], [11, 16], [-25, 0], [-5, -15], [3, -4], [-23, 18], [-14, -15], [-11, -4], [4, -21], [27, 8], [32, -14], [-6, -6], [2, 6], [-14, 32], [-5, -20], [14, 17], [10, 1], [-5, 26], [9, -2], [-21, 28], [-9, 34], [-17, 6], [7, 11], [25, -20], [-27, 22], [11, -8], [4, 22], [-26, 32], [-16, 33], [-16, 0], [16, -35], [-31, -5], [22, -7], [29, -23], [18, -13], [-41, 12], [-3, 4], [-32, 33], [-27, 42], [1, -26], [-26, 11], [13, 9], [-12, -15], [-22, 18], [30, -24], [30, -21], [47, -12], [16, 23], [-19, 11], [20, 5], [19, -45], [-24, -2], [-30, -16], [7, 17], [-8, -4], [19, -24], [-37, 5], [-8, -15], [-8, -18], [-15, -15], [-22, 31], [7, -34], [19, -42], [21, -27], [45, 8], [26, -39], [-9, 4], [8, 14], [-53, 7], [15, 15], [-40, 8]], 'char_orbit_index': 1, 'field_poly': [-1, -1, 1], 'hecke_orbit_code': 4503599660925399, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '471.2.a.b', 'level': 471, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [157, -1]], 2, 1], [[[3, 1], [157, -1]], 9, 1], [[[3, -1], [157, 1]], 12, 1], [[[3, 1], [157, 1]], 4, 2]], 'ALdims': [4, 9, 12, 2], 'Nk2': 1884, 'analytic_conductor': 3.760953935202306, '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': [471, 1, [158, 319], [1, 1]], 'conrey_index': 1, 'cusp_dim': 51, 'dim': 27, 'eis_dim': 3, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33554903, 'hecke_orbit_dims': [1, 2, 3, 9, 12], 'label': '471.2.a', 'level': 471, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 157], 'level_radical': 471, 'mf_dim': 54, 'mf_new_dim': 27, 'num_forms': 5, 'plus_dim': 6, 'prim_orbit_index': 1, 'relative_dim': 27, 'sturm_bound': 105, 'trace_bound': 1, 'trace_display': [-1, 1, 6, 0], 'traces': [27, -1, 1, 25, 6, -3, 0, 3, 27, 10, 0, 7, 10, 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mf_twists_nf • Show schema
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id: 341169
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '471.2.a.b', 'source_level': 471, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '471.2.a.b', 'target_level': 471, 'twist_class_label': '471.2.a.b', 'twist_class_level': 471, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 341170
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '471.2.a.b', 'source_level': 471, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1413.2.a.b', 'target_level': 1413, 'twist_class_label': '471.2.a.b', 'twist_class_level': 471, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 341171
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '471.2.a.b', 'source_level': 471, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '7536.2.a.m', 'target_level': 7536, 'twist_class_label': '471.2.a.b', 'twist_class_level': 471, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 938450
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 4503599660925399, 'p': 2}
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id: 938451
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 4503599660925399, 'p': 3}
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id: 938452
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 4503599660925399, 'p': 5}
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id: 938453
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 4503599660925399, 'p': 7}
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id: 938454
{'charpoly_factorization': [[[-11, 1, 1], 1]], 'hecke_orbit_code': 4503599660925399, 'p': 11}
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id: 938455
{'charpoly_factorization': [[[1, 3, 1], 1]], 'hecke_orbit_code': 4503599660925399, 'p': 13}
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id: 938456
{'charpoly_factorization': [[[-1, 4, 1], 1]], 'hecke_orbit_code': 4503599660925399, 'p': 17}
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id: 938457
{'charpoly_factorization': [[[4, 6, 1], 1]], 'hecke_orbit_code': 4503599660925399, 'p': 19}
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id: 938458
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 4503599660925399, 'p': 23}
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id: 938459
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 4503599660925399, 'p': 29}
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id: 938460
{'charpoly_factorization': [[[-59, 3, 1], 1]], 'hecke_orbit_code': 4503599660925399, 'p': 31}
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id: 938461
{'charpoly_factorization': [[[4, -6, 1], 1]], 'hecke_orbit_code': 4503599660925399, 'p': 37}
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id: 938462
{'charpoly_factorization': [[[59, 16, 1], 1]], 'hecke_orbit_code': 4503599660925399, 'p': 41}
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id: 938463
{'charpoly_factorization': [[[76, 18, 1], 1]], 'hecke_orbit_code': 4503599660925399, 'p': 43}
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id: 938464
{'charpoly_factorization': [[[61, -17, 1], 1]], 'hecke_orbit_code': 4503599660925399, 'p': 47}
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id: 938465
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 4503599660925399, 'p': 53}
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id: 938466
{'charpoly_factorization': [[[-124, -2, 1], 1]], 'hecke_orbit_code': 4503599660925399, 'p': 59}
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id: 938467
{'charpoly_factorization': [[[59, 16, 1], 1]], 'hecke_orbit_code': 4503599660925399, 'p': 61}
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id: 938468
{'charpoly_factorization': [[[-29, -3, 1], 1]], 'hecke_orbit_code': 4503599660925399, 'p': 67}
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id: 938469
{'charpoly_factorization': [[[-11, 1, 1], 1]], 'hecke_orbit_code': 4503599660925399, 'p': 71}
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id: 938470
{'charpoly_factorization': [[[-71, 11, 1], 1]], 'hecke_orbit_code': 4503599660925399, 'p': 73}
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id: 938471
{'charpoly_factorization': [[[-125, 0, 1], 1]], 'hecke_orbit_code': 4503599660925399, 'p': 79}
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id: 938472
{'charpoly_factorization': [[[-19, -13, 1], 1]], 'hecke_orbit_code': 4503599660925399, 'p': 83}
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id: 938473
{'charpoly_factorization': [[[-211, -1, 1], 1]], 'hecke_orbit_code': 4503599660925399, 'p': 89}
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id: 938474
{'charpoly_factorization': [[[11, 8, 1], 1]], 'hecke_orbit_code': 4503599660925399, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '471.2.a.b', 'level': 471, 'portrait': 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6Zpw/xUyko3oDsUjBKP1YFg65RhuWM4taCoeT5bZ2HnpogtcyM2z4VsnQvZucWye6viql0eddXk+Kk2X3/a59HnEp48GZOqHt/5qg5vu9VSV3M8d3Ka4+c0Zy+mXFiKObVoObJkuemaRf71D6+ya26Kc4vTXFypsdLVrHQla72U3iBlEAmOnVri5Nm1qx49svTqg6cW9x4+vfj5V77h7dF9n//LFxsS39DtbzWDr652AAvwGw89fvTWX/yPH5ffcdORW3/+uy7oxZXNrPWbrHYDVro+Kx3NShdWOimrnZjlTsr5VTi6LNi0aY1/+6PLvPyKBqcXZjl3scm5Jc3CsuXCUsKZxZSLvYTp2RG3Xdfn5ivBl3UCFbCwUuP8kubCimAQQpIYar6hWUuZmUowwMkLCd0+7Nni0ayHWCtA+PSHht1bQ5bXNFgnRdb6ECZgsax0InZs9ugNFUJZhAlp1zx2bxuxNhCcPKdJjWauLWnVBIEHSSIYhJILK5Lzy5aF1YQgGIGXcMvVfW69RrCpXWd5tc3phYBzS7CwlLCwknB2BY4uW1529RK/+qOrbJ1uc+rCLBeW6iyu+ix1JCudlLVuzGovZa1vWenDhb5gYXnI//VPR8n3vmbq/mDuJ0ytvf9+k/JLni+o1dsvNlSe9/a3lsHf+e6P8OrbbuR/+2f//Nc/8Zm7/vcPfORLlx84sbb32dND+arrOly2PSU1CmsVIByokNldgLBoYQkknFup8cBhxXWXrXDlrhGNGnha4nsK39c065KGJxn0PQ6dqPHFR31OXgzpJjGHTodsmVvhLbetct3lPV52ZYcTSwlLA0EjGHHsnKXTbXLtpZK1UcqBE4pWQ/PMSbhiu2UUpYxSH61jZlpw8HSA0imeTNAeDEPJy68cMBxIrrs8pTtMOXmuxSVbFc1GxFpo2Tw9YLXf5UN3wePHU548PmLP9mWu399lZjbizbf0+N7XWC7b2iKNpzl+doqjZzxOXzCcuRhz5mLK0YuCU2sxL9m3yL/90R5bpqc5fWGWheUGi2s+y13BatfQ6cV0BilrPctaHy70JRc7hhv3LfEz37kklVV7T5w4d8lgEL9ibvOueqM586UDj/0V/+mdH3yxIbPh7W8lg3/gv36UW1+2S338C8/98vkLC//HocMn1MXVkMW+5lQH9u26yP/9jy7ykksbLCxPs9xpsNKpsdr1WOlqVruw2k1Z7Sas9BKWOnB6VaDrI155zQrf/5qISzY3Weu3ubhSZ3HFZ6kjWOk4ibDaM3SHhm5oGYwS5toxu7cYQBB4ljMXPYQM2LNZccl2y/bNAxZWQ5443OLGKyyN+ipPH5ml1YyIIo+5GcNwBFftHvGBu6bZvyshDC3zU5I4HdKqBTxzYkTda/LSfQlPHotYWPbZMRdwyTbYvTVCqZgzS+B7FiEse7YkzLQkvWFAf+DRHXisdBUra7DcMax0UpY6KRc6sDxK2b2jz/ffvsQrr9TUvDbnl9osrdZYWtMsdwVrHcNaL2YtY+7lPiz0JRfWUm7at8Bv/swKl25ts7AyzeJKjUHYYnpuTzo9s/nXz65e+atzzVPpK1/z1hcbOutuf6sAfvzYIYKgVl+8eHb31x965h0Hnjv7a4ePnsEKySCEtYFgoSc51U254dKL/M7PLHH9pQ0urkyzvNZgtedAvpqBvNMzrPUSVnsJK13LQkdwrm9B9Hnbqzq8+eWGS7fViKIGq50aa32fTk+x2hf0BoJRaIkSS5qCkpbAg3pgmW5bNs/GaG/E0fMRTx0JMEmTN70iQntrPHJgir3b4LMPJrzq2oCLnSE1rUjSmNkZSGIP7SUsLze47YYun/1ai0u2wcOHQzwavPHlhkQMeepoyvEzNbT02TKjmWkK6oHA9wVKQGIgii2jCHoDy1rf0BsY1gaG5b5lmKbs2TngzTd3eNutEZgWy2tTXFyps9zJyKADa72UTj8pwL06gPM9xcVuwsuuWOC3fmaJq3Y3WFiZZrXTZK0X0BsqwshSb+5AeFv/z9kt+/7ykr27To1Go+FVV135YkOpuP2tAfjRo0eYn9vsHz323I+fOH74Dx5/4klx4WJfDkYpw9AwGFl6I1gdCBYGirPdhJdfvsBv/dQKN1wesLQ2zdJak7VuwFrPZ7WnWesJOj1Lp5+y1kvo9A2rfcvFnuB8xzAzPeDbXtbjlisT9mxRtOse3V6NwJOAIkokxgiMhcEIEIaZ1ojDZy3GRtz5cJNwUOfyHT6vvG5AbNa459FpXnqFx+ELfTqrbW6+bsCXHgnYMms5cNLyv761y4ETAVtmJV98VPHKqxQrgy7HTs/y0n0R9zw1JAkb3HK1z2W7RgyTPl94REEqOHpG025otIDB0AXVqbHECSAN2jd0+pZmK2bXtpBbrxrwbTcmzDVrLKxMsbxWZ7Xrjs1qV9DpQ6eX0OkndPopnYFlZSC50BMs9VJesf8iv/ZTi1y/t8bi6gyr3QZr/YDuwKM/1AxGkm4fBlFgrrzyWnvFFVf83GWXX/G+pcXF6PIrrnixIQX8LQG4SWOZJIO3HHj8ry8/eU7+9te+/rBnrCCMLYNRynCUMhgZ+hnI1waCiwPF2U7KLVct8Bs/tcSNl3msdadYXG3R6ddY6/ms9TWdnqIzgF7f0h0kdPsp/aGhM7As9gWLfYjTkOuvGLJ1NqU/sHz7zSF7txqSVKKlJYrh7idqnLpYY9tMwtNHa2AaXLlTccN+Q1Ab8MjhAYtLTa7Z26Q9vcrXnvS46Yoay4M1VlfbbN1qefCA4ode2+ehA5qdmz2W+h1WV2a54aoBX3s6ZbY+zTWX97nY6fDgs9PUdZOX7bfs2z0C2eeJ44LNszELizH3POExihVSQmose7dFfNvNEb2+YvuM4YYrIIoarHQarHQC1voe3YGi03eg7A5Sun3nlnQHhrWBZWUoOdsVdIYRr9y3yK/+5Aovu6LGhZVpOt06nUFAt+/A3R8q+iNJfwj9YUqSGK69/sZ4qSv/5Y/94FuOtFuNTwWBZ15sbL3omczRqM9oNPzR40ce/d2Fc4dnz5/qMTulGIYCISzWkhkpACZ7YREiRUrFw4e38Et/7PHWW1f4gdeucMmOiAvLbQK/Tj3waQQezbqmV5e0hh5TTc1glNIfpmwJDcPQ0hsFrCzWOHPaEiWGsxcSgsACAl9ZtBQMhgqBRzLQvGSv4LLtlt07BoRpj889pDh4ZIY33Bhww1Wr/MnnLL5osHfHgCe/ptgxrZhvD6ipOlHscbEHzZpm5xbB4wcjbthX5zUvXeL9nx7iey1e/wqLFwz48oMRn32gybPH61y6vcHebSmbZiIumY+5dm+KUgat3PFoBAGbpgOi2KM38Hn6sOfKE6pAHFn6A/fde8OU/tDSHVrWhrA4UCysWhpTHX7+2xf5e7dEXH9Jk/NLbTr9Ot2+T3dYBbdgMIJh5AhgGBq+dPeDnvJnf/drD2xfefVtN/2zXn/w/laz8aLi60UFeDgagBA/efLo137jwBN3zcbhKr7n06gJENk9M3rykgghLDK7a5niS8lTR+Z57HCDw+cu8tZb+9x69YjpVpuVToNmt0Z76NMfaHrZyR6ONINQMwoto8gQxZY4tiSpu0eJjzUglcDTgpovmG4JZlqwdd6wc8uA+ZkOn38EvvqYhzRTvOFGj5dc2eO+Z2OiUZtXvkTQGQ65uNzkln2G+ekBdR0wShSL3RhlBC/Zp2m0Qh49VOPVN0xx8/U9Hj2kwE5x49U+P/GdK3zp8YgvPtTkwKkauzcpts7WmWk1mGpBPQBPW5QEY+HAcUGaCuJEECUQxrjvGDqZNwoNg5FhEBr6Q+iGsNiXXOxBaEa87qUrvOXWDn//9YYkaXNhuUm3X6c38OkVwFYMhi4mGoSWUWicUxQZwsjQWz3PRz72udkwSv6vN7/x1brXH7z7xQT5iwbwQX8Ni/2Jowfv+41jB+7aLMwa2tMYAbXUAgaBRCAQQiGEQAhQ0iCFyyJqZdHKUPcEi4M6H7xrJ19+rMurrl3jh1+3xrWX9JmbbrC81qA3DBgMvQzYyt0jQRhL4kSQJG6pt9lqoaRFa6j50KgbZlsxOzYPSOhz+GzMh+6pcex0k+mgzk1Xa265rsuDz3W48+ttXnFFjd3bBnzgLoESAe1WzFo/xFhQAja1B3R7Piap85ZXXeSDn21w2UKNN79iQBQvc89Tc8RpjZdfvZk339Tlil0dvvzogCdPN3jiuM/OWclsW9AIBL7nLkIp3MVvLBhjiZPsYo0tYewu5FEEwwh6I8FqKFjpgdAjXrp/jR/+tjVuuzplvl1ntduk0605hyZn7ZFiMJIMRpJhFdxhyihKCSNLkoJSmvMLa3z0E1/cLLC/8YbX32aXllffMz8383cf4Esdi9KI6aeFXbz4iR/r9eLfvnjyuXll12jUFUmaIoXLQuaAFkJmzyVKapRMkVJky7PBU5ZAW2pasDpSrHRm+PDdTR54us8rr1/jh1+/xksv6zCX1kmSgMGoRn/oMQw1UayIE0mSSlIjMFYgcKtD4BsatYTAj/C9kLPLIZ9+WHLkjM/xMzMoE3DZNp+rLlHceGUXFSzy1NEWO6YbXHMpbN20ykq3zbU7JImxfP6hgHAgmW4mvPHlIz51T8ypCy32X+5xfm3EM8c8dm2Z4fpLFrnvyR5fe0YQRj5XXjLLlbsCrtzZ4+j5FY6chYcONjh8rElDCwItaQaWmgdSuqDKWnexJilECUSpoB8KuiNBN4bIJBg74mVXdPnhb+vyqmtTts0GDEdTLHdq9PoB/ZHPYKgZjBxrD0cuwTQKXd/oKEozcBvCyBJGhjDBrYRGcub8Gh/4yF2bHz+48Nuq1kx+9fc+/yeIQ/zyP/n5v7sAT9MRiNqrjm9+5D1m+Z2zMlmbb9dq1LRPnKTEiUIrhVIWKV0AJSUoKVBKZD/LwZ3iaYHvGXzPEniWhp8yXRP0Qo/V7gwf/Wqbu54YsWVmwDtu73DlrhGjYZ9rLrHs2qoIY480VaRGYnNwS4OnU04uWI5fEKwNDZ+8r8HZpRls5DFTU2yf0+zZqrl0B1xzWRcjl3jXp5qsrEzxiis111zW4ctPCETisXlG0mwkDGIfaSVYidI+nZFgYUVwtW1w+4097n+0zvZ5n1dcM8s//M4l3vfZHg8datIfeSyvtbhke5392wa8fF+P73l1j3MrK3zyvoDlQcDJ8x5nz/p4SiClW/WMtaQGYmNJE8PMXMx1Vw8Iw5grd4W8/faQzVOK2VZAHNc4v1ijP/QZhh6DkWYYKgYjxTCUDEPBMBSMQtxKEKaEkSnBHRtGsdPiUQJxKogSxcLxDvc++8D8jdfN/sc33DYbv/8z3b94z1/8Hj/x9//p3z2A/+yv/QVbZmvifR985yWry4f27Z07wBtuqiNEm+EoJYo1YeyhlUEphZK2fJTSlY0qgc4ePS3wPIOvU3xtqHmWemxpRJapWspMXTCIJL2oyfEzTX7rL2bBJIgk4cbrBlyyNSJJwFiDtS6JI4VAKoH2fA6d8jlwpEazpmn5kvmGYNOcZPOsZvsmxZ5tKfv3rJGKZX7/Y21OnprmFfs8rtybMkx6fP2pgOm6x9yUZboV0ag7KWSMpDNSrPQty52UTr/Obdes8fCBAQdPKabbNV5+9TQ/9ZZl/vPH4dEjTfpDy1pPs7DSZut8g80zI/bMjfjn3zeg3ejw5HE4dFrieRalLEJkwbh1bJ4ksHdryiuvTUhjjzgJsLbBKPK4sORAPQw1o0gV8m0YiazMWDCKIIxsJkVM5W4ZZRIojCGMBWECo0QwiAWrkWB1LYLRY9PzjW1//Lv/6+XJ617/xg9//+3/ybZ2/j/D5P+PAPzX/8NfcP3eGaV+5U/e9u6/Xn7X1x47x+uvb3Ppth5X7DR0ewmDUYAXpWjlobV2QJcWJZXT2triKelYWwtGnsL3JKEnCaKUMLbUY0MYG6LI0k4gjN2yGSWCUSwJ04A4rXHwSJMnDkJqLQ7aTht7Enzlaj5aAVyzDdp1mGpKZlqKuWnN5lnYvTVk26Y1YrvC739siqPHprjhUsWlOyWX7VzlK88kLCxPceMlkpm2oeYPCWSAVYIklQhrSdKI1X6NhWWPG66s85J9Pe57tMaWGUGj1uKGfYaff9sy//HjhmfOtljrG9Z6isVVzfx0k5l2nZn2FO1GzKZmzJ4bIgIvwdMJSjmpB2BxF1UcKy4uauJEESeKKFaEcfYYScJYEkaSUSQJI+EC1EiU8iM2RNmjY+38fRhl4B4mMIwF3UTSCWE4DHnJJcv83PetcvOViw2jan9y4bkvm+XB9R87/syfpZdc8yPf+gB//59+iNl2TR0/u/j21YVz7z/47NmalJv53EMNPC341Z/qsH9Hiuc16A9TtE7xIg+tHMi11nha4UUKT1m8WOJrgR8LQk8Q+oooloSRIY4tUZI6VySp3FNIUkuaGlKD09uGAtwueAUtwfMg0IJaIGgEkmZDMdWQzEwJNs8m7Nk6oNVc42P3R9zz1CxrS22u263Ys83jil0jUrHG5x9q0PQ0m2YUrcaIp47Cs8c01+6yDELF9VfEXHeZ5cL5lMVVn+GowZtu6nHvk0MOn1U065LAb3PtpYZf/bFl7n5myKfunme5a9mzOWW1o5luK6aaHq2GR7NuqQWGwDcEOkUrJ7WkdOfAWlzCyggSI0lSQZII4kQSJYI4loSxc16iWBDFliiCME6JYkNUIY4wsYRRHrzCKBaMMmD3Ykk3gX5oMPGQG3av8G9+cok3vEzQ6c2ztnSuNmLzn43MmX9wMd38kXvv+qv0Va/9nm9tgCepkWcXOz9w7tzZd54+cby2fcpDDyVLosVff10SRYrvvb3L993RZXYqpj+soXWA1j6eNtld4Xsa38vYxnOME/mCKBbu5MSKOIEols5BSErbL0kNaerchdSOe+tCiELn62x1CHxJLZA064J2wzLdMmyZDdk00yOxa3z4Xsn7PjvH5lqN63YLdm/z2LvdsGfbKh/7umVlpcaVWxUzbWg1YhZOSC6uBviXOKbbNCWZnobDxy2rXcOFpRpX7K3x2ht7fPqrNeZaEPg+Sk5z7WWCn37zRTx5kb++b4Znz9bY0o3ZPJ0w1VS06opGXVIPNIEPgQdaWwdyAVJUQI67sFMDaSpIUjKgQ5xap5/j1JFCnNmniSFKjNPXVTmSuO8yigX9RNBNBL3IMholtIMu3/8dS3zfa/q89iWK1U6LzqBJb9hgYflMLZGNP56ekxqt/yuOZ741Af7O932c0JgfO3Dw2L8/dfJU2/cUtcQylRpSK1kVDT7/8Fa+/kyNC6tL/K9v6zPbjqgHDbr9BE/7eNrD8zyiyOB7isBTDtyxS6U7xhGOiTJWShKIU0hT5yQY4wIuY2zew5mB2wHcBbACTzuA1AJo1AytesJ0K2HT9JD5mTXuPxjxZ3fWOXR8mr1THpdthZ1bfXZugf27uwySLg8eaFNXHptmFNMtmG6FzEwl+L4uElfD0GelG7M2sHT6CRdXfXZvbXHzlRe586EBh862aQQxnvIRYorLdih+5PVLvGz/Rf7szhYPPj3Ncl+zuZ0w3Uho1CT1miLwBIEn8TwXqyhFZh86lFtcD6sxFEBPUpOtbpm1mBiS1BAlrgQgTmyxIoYJRDGEiWCUCMfaiaCbwHCYYpIRc/UuP/e9y/z/fmBAza+x1mnSH9UZhT5hpEBoemsn27Ug+f1LL9vnH33m4++77Jr/eUVa/9MA3un0UEr+5Hv+5KO/cfTY6TlrBRbwlKWu3YgHayVr7TqdkeLf/6XHgaMrvOXVfW5/SZct8yO6vTqjMCCMfEJPE8SayHf2Xg7wOJZEiVt24yTztFMy64+MuSXGUoLbJSkz5gatXMLE9yw131CvJbRqCTPtkG3zXRY6A/7gkx6ff3iWldUml28S7N4s2LHZZ+dmwSXbR2h/jQ/eozl2usm+LZKZlmSqmSJlyNlFS6AlUoC1gijW7Nnc5SFSugPFateysFJn384a33N7h4982efEQoCnY4TwMLZJnEhuvGSVPT/Y5fOPDvjA52d55ESTHTOC+WZKs5ZS8wWBJ/A9F6tohQucpShqMizuIjMW57SkDvA5yJPUSTrno2cAz+KYKHHgHqbQjyW9BIaRIRlE7Jzv8pob1/juV/V508sMiibLqw3CKGA08gkjTZy6pF2jbul1zswtr+7+7ete9lbV7/Xe3Wy1vnUA3umtorX4h888eddvHD3yzGYlne512UcItDu4YFBCsiZ8uuEMH/xKwN1P9bhhf5cffN2QN9/cYW46YDgKGIQ+cewRJR5RrItAKUmclx2nubaUpKkgNaLU2kZQqBLrmFsKUMq5Dp4y+J4h8FPqQUKrHjI/3WcYD/nyU5YPfWWKB5+eZsb3uHaHZdusZMucz/ZNkp1bIi7dscqTJ4Z88t5NTCnNpilBuyloN1xt9We/XqPlW4RwwBqGmre8MuQzD7iamE7fcHFVs3Nzi7fe2ufBgz0OHPZpBglKCgdy02AUOa3/I6/tsG/bRT54d5evPTvNqdU6W9uCqZql4Rtq2uB7oJVAZVarzBPDGdRNJtWMKVe4JAO6Iwhn9znLD8LUsfYgEfRTXMwTRTTrA77/Dav8wOs73LjPsHlGMxy2WOsHDtyRxyjyiWJNkrgCMWsFcSw4cODQ5sXBvb/xbXe80nS7K+9tt7/5oyq+qQBfW1vj4lIfk8gf/a9/fd/vfOqzd82F/S6eUlhAWYGncpkgsrS7QUtBXyq6XpMz3YBzDzR44KkBH7muy9tfO+CNrxwxN+0ThQFh4hHFHnHsFY5AkiqSRJIYSZqWADc2Y25T1pQJYYuMqHNnDL6XEvgx9SCiVR+SMuRLj0r+4q5pnj4+hYgD9s5Ytk1b5qcVm2Z9ts5Ltm+K2b21y+nFHn/4qSZJWGfnTsF0S9NuQrsRI7yI7rDJdMsihMBaiBPJbKBITEIv9ukNUla7irOLda6+tMXPfNcav/1fA04uNtEqzi4MTZLUGEWSrXMBN17e5bpL+zxz8iwf+kqdOx+Z5lynTjNQtHxoehZfWzwFWrp0vhDj1XUGsMZddKkRpBaSVDj/PBVEqUsSDVPH2sPUksQJJo6Yqw140+vWeMfrerzq2oSpuiaKXdlxGPlEsUcYeYSRJow1YayIs3NjjEAIQV0t4g8/s3n5bPw7M9tek/S7Z/7Uijat1jdvfuI3FeDD4ZCtm1vf/dX7H/7PX7rzi+3uapd64BI25XgNQVkwlbG6AF9CoAR95TNINBfDGn/9QIN7nh7w8i/2+cff2+Oq3V02TyvaDU0U+0SJR5LoAuQO3JLUSIyVWOskgS0CSpDCoLIUv9YJgZ/gqYjuMGaxG/N7H6tx/OIMjx6Yxhqfubpg87xlfkow11bMTXtsmZNsnUvYsWnA3PQqn3/M8Miz01y3UzDTkrQaknbD0KxHCC8kCDRaub9vLaSpZBhqhqOYxAh6Q0Ovb1npelxYbnPL/j43X73GB79Yo76i0DJ2gLSaJPWJYtfjOT9d42WX9XnZ5X0ees05Ti5K/uzOaS6uNTizHOArSdMT+LkMky7wFJXTYKwDujGQWEFiIDaCMIVRApGxkCaQxEgVsn1myHV73Pm46aqUdl2TJE06Pd8BOyMgJyPzR0mUuMckW2mtBa00g17EQw/cO3fpla3/vPuyG1bjcPjJbyYmv2kAP3HiKFu3blUf+9hHLn/6mUNtbXtsnfWK+g5jyYqksjS8tMjEokRmzyWWQAka2i2DAy9gmHgsRw3ufGSK+58d0gxC/sG3d9g1l7Bn+5BbrumhhWsRE8LJFZeVLJfC8rKyCGlRwnnmlgRkwjPHJQ8f1Hz6wRbPnGoRJQ1aWrGpbpltWmYa1vngbc3slGZuWrB1NmH7piHbNq1yz9Mh7/r0ZrZNaza1od1UtJuCViOhHoTc/5xiFGm8pgOVtYIokdS04qX7hjzw1LQrfBqmrHU9ltYCFpZm+Jk3L3BmaZkHHt+EJwERY4Ak0Rk7SvpDzUyrxnS7yc37BrzmugE/eMciB08bPvNgjQcP1nnuWJNEaMJQMYgVqih9qAaeWU7AGhJjscbgiZQpP6JGzM039Llk24id8zE//MaQuq9o1hxjd3qOreNEZzIkL4FQRInKYiSVGQDKrRApGCsYxWCMptcfcfri/e2tRxcu/57vebt67rnD6b5935x68m8KwB9++inOjur+4MCDP96qRf8+Hq0x3Q4YhWlh1RkDaa4HpUUJ15WipEWlFk8KvNTipxnQU0GoYZjq7F6j10v5nQ/OYJOYLZtGXL17xNxUwttfO2T35og4FpnellBhbjL9KaVBSMFH767z5NEmQmtOnmtwdqFBra6YCgTTTUu7ZmjXoFUXTDUU7ZZipqWZm4b56YQtcyN2bO6S2jU+em+bYb/JFTst7Yai1ZC06oZWLcHzIj7/QI1wIPE2u27RXKI064o3vXzIVx8z9ENJf5jSHWjWepoLyw2uuqTF21/V5dFnGpxcaaGkAeJML3vEqXOTRpGkP9J0+j6teoNmPeSqnSNesX/E6YsdTpxfQ3spTxzTfOQrDYRyhWsIOX4SrQHcRII4StmzJeEdrx0y307Zv8eyZQ7SxCOMWiSJx2o3Wz1TRZzoLMDXZUyUyExCiuJ1kori7hwc58f3R4q1xSVUfce/v//r9w9uvWXz+06eeDjas/emvx0Af/rgSZAL+2R0+g8G5x+SQjQIfHcA48Sgsgg9NVTqSywyBZWCTiFR1j2mwoE8tSRG0EotUSoIjSBMPULjkRhY7Lf5ypMGS8onHnQjG7Amu+dZvMwiE3lFokQqRRJrpNF4WtIK4JJNlqZnaASGRgCNQNCsS1p1J4emWpKZNsxNJWyaCdm+qUfKKr/3VzXue2ozl83BTCNj74akVU9o1COajSH1eoNASZTMNDhODsSxx2goGIYpvVDRHxl6Q+Na5po+ZxamuO3qkJ//vgV+9yOaU2sBQhisjTGpJU48olgyCj36Q0VrqGnWfBr1Go2gQS2IadUjbrwiwvdibroi4YdfN0CrJEsCGYSw46I8k3TGSISQBJ4CfEahZnlVk6a5FHSrZZLmd0mSSOJUkSTCgTzdANhJ9pj58M6GdEGsMZYv3/OA3LEl/oNzJ1bvHXTDp78Z2PwfBvgHP/RRtkwH9UeePvK2Zw8dFNumFEKClBJPWwcqaUmlA7nMAp5ECpS0JBIS5aJ3nZZVcEmaRfUm87ONIDGW2EBiBLGRxFaSGk1sAlKbOzPlrchSCtBCOCmkoFa31LSlplICz7k6Nd9SDwR1X9KoSxo17QDeFEy3DLPthLnpkM2zfbZvXuZdnzZ84M4t7JpWzLcM7aai1VA0G9Cop7TqMeeXDUfPB9R8d0FDXuknGEWaS7Yats6P6I58hiObsbhkradp1Wu0GtP88Osucuz8Bf74kzvQUmMxpCZ1xyLRhJFiGLmiqEFN0hhp6oFHPUjp9FyM4Xspnk7xvBQtXaOElFnlZnZ3pSuCfEKBMYKOyaosjYtr0lRijMosWAfq1IhMV2dVmYkkLphalqDOyCuXKIkhuxiclau04pLtAYvnDohnNG9rTu0/+pUvfXJ4x+u/+8UF+Ka5hr/aWfnFqL/8iy1tZZR4BD4o5ZoVhDAlwKVFGveopCVVoFKBNq6xN0mzLFv+OrOvivfyNHtWKee8XFEESlXNDWSZPKf7tTTorIbcU+Apgaet8421oBZIar6kHijqNUWrLmk1LFPNlOlWwmw7ZH5mwO4tyzz4XMgH797OTC1gS8vQbggH7rqkWTM0awmtRsiDh+CJgw0u32SL8t88bT4MFTftt1yxe8hDT08zCC3DUUp/qDOQezRqdeq1ab7/1Ss88dxFHjiwFazCmNQRQWJJYlvUkwxDTWNkqdcUNd8Q+B6BnxJo40ogtMmK2Vydj5SuNBhhEZR6rgzORXZ8HciNEZlD5YCdP09yWzYHdQHkEthpxtwFwFMKoKfGkVHga85esHKULP/y1m3n/aDW+HUgetEAPgoHMgpHv/KZT37wn0Wji/7cjM6G3jilIIVASVcPrTKAqwzgqbKkxqIz6eIOlgO287Dz7COOnTOQmywTlweu1loqmfexFTdPVecJHSWzjKXCVSNq1zAQeJLAV9QCRT0QNOqCVt3SbqRMNROmWyFzU0O2b1rlgUNDfuX9Wzh1ZppL5w3TDWjXFc26olmDZi2lXovxvRGdkSsW85RFyvKT5awXJz7teswgMQyyOuvBKKU3kHTqikYvoBa02Ls15ld/vMO/+RPJ1w9scZO8rCFNDUmaZKl0xShSDANJPVTUfEngWwJfEWiD5zm/XyvrAK6y1TSTKULY8QbdLLWfX5A5q+d18/nzNNPTjuHz71bq7LRgbJH9vAR3fr6NcY0aceL+9MLSGb8fBv/yH/zoD3n9/uD/bDYb/93p/P9ugNtkDWvDXz9x/K5/asLjtS2zklEkChau1jwoI0ilJckBrmwWLJXaPDUWk7r38n9rCo8WrLGkGVvbiTsTAM+73UQObpHXlDu7rCi31ZLAdwOAaoEbyVAPLM2aodVIaTdiploRs+0h2zet8cDBAf/mffMcOjXLnlnnsLTqkmZDOvauWxq1lEYtJk4j/vyLLaRSeNK5RQWD25zpPH7kDat84ZGIXhQwyADeHyp6fUUn0NT8gMBrs39Xwq/9xDL/+n2Crz29BWMlqXFp9ThxhWZhZAhrrtw1CAQ1TxD4LrPpa1tkbLUySOWkohTWScoc4GXKE6ByvEUhr3KAm0rhWp5YSw2Yis7Os8nlSkx5ztMSBya7J6nrFHrkiaO15ifu/t/e9l2vFwuL3V/asum/b3rWfzfAj5w4CNbc3F++t96uj0iTOlK6lG6SVL6YzDzWVKCkILV2HMyqBLdRtpQfpmy/ckAXro4iB7VljLnzWw5wKUBI59TICntrndedSDxPuvoNX1AL3MyTRpDSrDtwt5sR0+0hm6Y7PHhwwK+8d5ZnTs6zc0Yw16xIk5qmWXP1K/VaQj2I8LyQs8szeEqgpMlsuTLITFNJkii2zViSJKYb11ynTGgYjlJ6I0l9oKj5Hr5Xw9NTXLkz4df+4SL/6j3wwLObM3lgiFNLnKQZkxvCwFCLJCNfFRLM88DTeZufdLmAzNFyRGCLwqwJjJOXWVhTFmzlCbRCKhpBtVIzXUd0+QqcAzw757YkuiR1xV3D0LK0FvNXX3i4ftONO2+WUv6NePymAvzTn/k8/bV64z0f/TP/HbctUPOn8D1DYlyLWT6UJpWi+JJKlYxujMBIS2rLq9jojKXHZIjNCqQqciRnlOf5bFKURVTOsREFuJV0s7ZLeQI1DwLfUK9Z6oHTz416TLsRMd0cMj/T4ZHDI/71u2d46uQmtk8rNjUNU3VBqyZp1BSNuqBecxeHS/VHPHBA0B/51BRZutxp8LwJITWCONE0a4pbrunx4DNtBrGTKcMwZTBU9AJF4Ct8z8/08zRX7TL85k9d5Bf+CL52YLMLto3JmqXLHszQlwS+ceyd1aZ42cXt7mQypZRxMsvybgzy/LiLIvvp/HMH9OpqWy3mKqSlqa7OJWOXstQUPaRRbIlTQbe7yskjH/Ivv/SnGvff+8XBra/6tv/5AF+4cIrNW3ZOf+pTH//D7c3g1ecXpgh8jRDOobDWBS4qFSSy8iVTJy9SRVEfkhowSpTJoCprVwBtCmDbgrnJtHdxMoQrKBIyA3dWZKQKgLvA19OOyXwPfM9Q87MCqyClnsmLVj1kqjVkptXl8SMh//rdMzxxYjNbpzWbGoapOjRrgmZd0agrGgV7p9SChFZjxD1P+Kx1aszMlGnyHDB5sBanis1zite9pM89DxvXRROZCsglNU9S8zSe9tG6jpSGq3ZZfuOnLvILf2T52qHNxEYT5xWAqS2YPIhlUV3oa4nWWRGWFCidHxuKz5dfhLlUEXlVGmVCaPJuKo/GVB6LlXdcguTn1jE4JcgrctVaZ9W2teXIkearff/Z97z+DW/5R8eOnVi79NK9/3MBPuyd4+zo4i/I6MQPzDa6jOI6lhRwjOBRYYQ0DxKFkx9VYI9d7aJwRPICoBLcz8PcmfjOM3KF9pZ5BV2pu/OKQa1w9Rna4nmusbjmG2p+Sr2W0KjFNGshrcaI2akOjz4X8ot/NM/jx7awedpjcyNlqmEzcGfsXZPUA8f+tSChEUQkJqQXBQgl8XIGLzR4dqFnNlscezT9kSsXiGrM5CAfpQx8x+CBL/G0xtP5BrSWa/dafvsfLfAv3mn42sEtxEYTpoIoNRmLC2qxIfAsvifwtclWL9fyp7IVzR0fUUg6WYlfXL3Q2OEuCtaq4C5IqEJMObiroC5AX1mlq6ye63JwZcuBJ3ns6YusDY78wPT8k0fjKP5X/1MZ/MjRU4jGzj3nD//RddKcZm4KLAbhLneXzMgBbtxrs9HyVVztonBJqsueqQQ1k/UkpdVtS9auBpWiTCZpmVUMSrKWNwdsX9uierDmpZlujqnXQmbaA6aaPR44kPBL75rnsWNb2DSl2VRPmapZWhm46zVnJ+bgrgcpNT+h3Yw4cMJy96NNfCnxlMlqcUqPIj8WcapIjOb2G2Muv7TP0VN1NjVgFFl3D1MGo4yFtUJrL2vjc971NXvgN396iX/1R4Z7n9nEKK4TppIosTQSJ1kcUKzT4ZpM6rh6canSYoVTUlQALiogZ51eKUFeIR5bXXVLgNsc6GMrNAXAx97Lnue3KHH4eergWbzaw9f9m1/86T3d1XMn2zPbv/kA76xeoD3V3vvoow/9hwsL3e9OoyGe52Hs+PeXwlliylbAbWzpVxtbMnbhZWcHyYgS4Ey4JOvckoy5J8EtLFLltqADg1YZa2uLrw2eZwg8Q+An1PyEWhDRqIXMTg1Y7Q346tPwm3+xlSePzDOfgXu6bmnVBc2aKLxy57wYx96+A3g9CInSlNGwRk25i0yKytJPni0UWaCpnZbXIWFkGcaiAnCD76f4nsbzpJsqIL0C4Ai4/hLBb/6jVX7nvyZ87eAc5zptRk3JdGppJZZaNnEg8Gzm/edOii3YO5cqOcCLz5t96CrObeVckwOccbAXkrIKbkvB8GV8VdalV63f6s1awTAcEoed737kkQfSPZde+7+dOHXuxN7d3xjIv2GAHzt+Gj+oveL0qcNvO33iNFvnfBeRSzOmL60U2ZcV48C2WXCSJWrGXBEjNpQiVYDnh7iqCvOT4MY95Oxti1IAVzXomFtn7W9+UR7rwB34Gbhn+yyuDvmNP2/wya9vYqk/w6YpyaZaBu6a092NLLCsB5JGYDMGd9q7FkRAxF2P+6zGPnMBY/XYiOqS7nR4FGvagea1Nwx44FBELw6Yyhp7R5HBD12tuq8dwLWyKOkhpEvQYOHKXZLf/cddPvPAkF9/7xbOLM0wnNZM+4JWYmgkEMRu9LKv3EAjLw80pSiC4PyxGqhXL0whil6RksVz8snP5Tqwl+xeAHtCt09K0eJsZ3+/WVccO3qEZ57d9rZ6vfXnw+HoxDeVwQeDAfV6/YpHHn7gnxw/eoimryGbISKVLTxU96XFmMwoH/PoW6z7WandsijdlgewCCor/J05bpkccmyWuwAqB7iyaOmArVXe25nieym+l1DzYwI/plUfovWAe55Iec9n23z6vs1Eps3mtmC+5mSJswBzn1xld5Exd5W9Y7QOuf/ZaQaRZlsj/zyTDJ7HIq4gqeYpbr5qSGIcwIexKMcxRG7kmqdzi1NlQHTZR3fcBfPTgh+4o08rOMd7Pzvkq8/OcSGuM6hJ2omlqa0Duc7iEGWzuMRmIM+PoShrxyVIShaf3FGwCvI86B8jJ+PeK4BcfPf14J+0ft3fs4VBgFA89fSzXLl/3z95xStufmw4HB6u1+v/4wDvrZ3k6IEvU2+0tw/Xjr1mqr5Ms66z+gaTzeGwYzLFeaaTKd8yiCwYGzHGaNjyALljJjZMUeZNC6U0ybNyrmJQSYrJVzlze8rVYgRejO/H1LyIRmOE7w/4izs1v/Wnmzm6OIsX1NjaEswGKe3A0gygmXXY1wOX7axlCSFXv5JmK4GTJ0vdlH7k4yuFL20RYFJZ5fKLPE9tR4lH3RuxdXrI2qDFMBbZuDUXK3hemtl8KrM7VeFfl4Grq3z87lf1uenqRX7zz0Z84PObWEmaDAKPpidpa1eDE2jwFUUzhM6TPnkRXCFVygznmCafEOXjQM8bnBlfjXPjgAlZalm3alP5e3l9kUDw3LElvvq1p1+zsDTavtbpHD54+BRXXrH7fwzg1qbsu/qWvcsLB96VDp5k23xejWaLegYh8g8xzuIWMSFBRCV4FJUDISpXsJiQJeO34oDLfBBnBeDSutmFY8ydZiBP8LWTJIEfEnhDTiwk/PFnmnz83jmOLczQbnjM1mAmSGkFNku95+CWGbhlkRSqZdo78N2F026GfOx+zeGTdWpKuIxh7qBQorwY42CdDo8TzZV74Dtv6vGez83Rb2jasRuqE0RZ3KAMWstsshcVkHuVk+VWhd3zkl/6oQHXXXKGP/r0LMcuTLGS1Bl4mqYSNDKg+9K6CydzmYrVLz+uuX2I0+elRz5+gqpx/5hEmWT057EXS5lTkaCiPL9JAmFisUbw5fue5Yr9V73rdXe86ttX1rp/o1R5QYCnSYRUHt3F+3cm/Ucva/gLBF5QtIBJWUoGayu9OjmAcybPgF7IlyxZUPyOLU98yQhVyrZjOlAUjRO2ALfMwO1ck5y9UzyduM4dnRAEIb4O6aURf/Bhn/d+Zitnl6cxqs7slGLWt0z5hkbG3I0ifS+zOpVMmmTeeQFu32Uvwzji8JmAfhQwE2QuTp50yhkwv5BtpSYl1rSbmkt2RqhgRC9qMfQF9djNIPEzeeVlEkXnrodQzxO8KjZNDfiZ7x7wttsv8N7PdPnjj86xNGwy1DVqWtHQgrqyBIl1bC4zOSDL8oY8uznJ5LCBXKlgflKf5wxuKr9nqi4ZWXA5JkcdykVFHlmrOLfS5Qv3H7wMr77zu19/w4kwSgj854fxCwJc2jNAe1O9Jj7cGd3jTbcVcWKLWX7Vb2Qr7GTJ5cYkW4sKW5fgLoEt1n1JUQG4095Oe6o8xSyq4DYolTqA6xStUnwvpuZH+F5EZxRx/5OSv7izzUfvnWOUtvB9nzlfMO0bmr6lEVgafgnuWiAJAkmQSROXGMqciQzgvucyn8fPW776SIMo9giadl2Amd/K1Lar0otihedpXndTjw9+qc+hM02GNTfvJfQsfgJebPAig1LS+dZSIIUsh/vkAM89diNpBJot00P+xfcPuGp3yAfubPHwgSkWh01GysfzNDUtqEsIZGaj5vaqtC6fIBi7Mwn0/D92HNj5+azGU5Pu2CTDj1WETrhm1kJsYJj4/Nlnn/Re+5qXf/jE+e5Lllf7iy+E4RcE+NcPbpMN+egr5sRfTdWDVaRoECVuYKULGkVFUogJ9hZghJvqUg00M3bO2Rtylt/45g6kReZAL1LKpij3dLrbolXqAK7SQo5oHdPpx9z3tOD9n2tz56NTrHRayHqNVl0x7VnavqHhWRq+pe6TsbZj7nogqfmKmi+o+WQVeiYDtyHwnP5WOuS5M3C2U3OJlUzfjidOyhjF9UE6kCdGEkWaLW3BFbuGPHUqYRB72XAd8CM3bsNTaSZR8kQNyInOnPziyW3IOHX14e943ZA3vnyVLz/W408+3+bhA22Wew060qfva3wl8KUgkK4/Vku3S11eyyOFky6iknvIsV1l87EYqgL4cVCLUqNP/MxUVvN8uwNjXTViaASD1JKEQ/78E5+d2rf71a+48arLP8cLDA96QYAvr50Jjnf0O79+76nmr/zYwFXjxT5Jmm+86mqEKZi5BLup6PBJtnbBYwXgE3Xc4wC3xWO1QN/JEpNpboOSKUqm+LmbIWMWewn3PKL57H0tPvnVKS52m4haDa/l0dYw5blOnrpHJjug7ovsLrOS00x3+4IgZ+8c4DrB9xNqfoS1MXc9GnDyfJ35WYEnTaZjRdnoW6Agi0uKklPFMPTYs0XwuhsGfPzrEf3YYxgLap7FTxyLh7GtrFKq8KsRckymuLssGxWM89vrQcg77hjybTct84l7e3zmvgb3PNniYqfBUPgMfY32FFoI10IoJV426kMJi0JUpGE1pb/xbSOpMmYuUAacOXsbytfGuix4aiG2lsSk2CTCp8ubr3+geeXOV7wTe/4qYPjfBfBHnzzA0lKXj37C8oaXCb795h7DYUCceBijsFYWcqV6YEswl/f8qqQqUyilzTpgj1mCtgJwk9mBBpEBXOsUX8fUajGjMOXQWThxTvGhL07xuYfbXFxtgldDtz0aStLyLC1tqHuWugc1z4G75rmZhK7MVFbuIvu5zUBuCpD7nmtPO3rO8NTxADwvW+ZtJUU/ZkGUS7LN66UFSerGOV97ScjVO/scPNtgWBM0EkEQW0JFZu2ZjL1zNyXXqaVWKXz2zIo0RmXTBzxGkUe9HvJjbwp5yy1rfOGRPn/5pQYnztU4eLZBtBaQBJqR1kglXTof0NljzuQy65QSeT7i+UA+BvBKcwoOuDnI0wqo3e/m9mGKtQZsCiaGYci33brGW25bZbR2ZNrIm//+KLTvqQUbf4LnBbhNT4owHP6Tj330nfPem9cYhJASU6sZGioiiTRRpCsAl4UMwcpMmlRAzjijVwG/MWvbIqB0z/MOFLfDg5IpQeAmqSZpyoVl+OJXNEfP1Ln7wTpnV+scPdeEIEA1NDWtaGpLUxvnInjZ4Hwvq3vwRSZDBLWMvWtZHYib+VcBt5cSeI693YUVcXwRDpxo4Mlxe7CQKJTBeOEe5E6KkdlsF4+r9wy5YvOAp48lDBKPVuyar/3EzQRUFYBLKRBSjjE5VVY0FRmUyqKHMk49Qs+nXY/4kTeEvOq6LmdXu9z1kM+x0wFfeLTBueUa6dDDSE3sK4SUbqUQ2d8jy3hOBIIbsXhVthQ6nBLIZUbUUvbU5v21Jh86jtAxSkY0gpg//UKdfnhi+kffMfx5z0vfCxur3OcF+DNPfAxIfuC6S59u9kch7/tUiw9/scEdN4VcfUnMtpmYy3aHaARJLDFWFUsiVmQBpawEm3k9dOltb8zeOSOUckSIvMXK6WsvSIlTy7HTgqeOKb74YIOnj/s8e7xON3QTlfB8VNtzHfoKGtpQr/jAgc7rNPKyWVcXHmSyxPcVvi+zC8CW2ttLs6H7TufX/BhrIhZWJKEN0FriSzfrJbfZJgi8AHlqx/sdo8RDoNk0GyHViH7sMdDCOR1xWTDmRktXM49Vo12WMsDIksnznslU4qWqGD8xCH22zkTs3hJz46Uhw2jIPzje4ekTPl98oMZTx2scO1UjThQECisVRsjKl8t2lh7TKuWXFTjbcCzPny8zZNmfHMwUheaOsWODxnDZ3pAdMxFX7o147ctDmjXDh+9q8PWDR6i3P4Tn/Te6KP/u3Xfy53evqGefvVcM+w2eOTjFyWUPieWLDydMeSm7d0Rcuz/kjTeF3HFDhDUpnmeptwCTfWkjSeIqg4uSwSexbStsLd08cCEsQhriyDIYOeCfOCP5r3cGDGLF48/WOHI6YKnvE6Y+aB+Uh2orfCmoK2goS03hxpmprPBIOdb2PeGSHlVwexI/kyWBD4FP5pq4lLmnDb6XZBnRmHot4uJqyhe/1qLTC5iZEujMi5cVHKy7jLPzWASERhKGivk5xRtvGfGFh4ec6jQZetLJFO1mx3hx7llnHrtMnV1IddaJLP6GsbryNxzQ/VSRakXiKeJUE8ees1K9mKYf86prE26+KuStrxnx3GnJEwc8hpHiA19scPyCB0IyGGrSSOXlm1hdFeXjcmw8v58P53dULhKLMAabgbzecIktQcprb414w8tGXLM/Ys+OlCktmJ9yZSDXXdHnyUMxe3Y9IHbvuk397MKHk9aW7/vGGbzZnPmDh56tX396YYsDZc0NhlkcGhZ7CcdXEr72dMpHvhwzP5NgjeWGfSHveP2INNsdeNO04aXXRjRrgBWIF0jguFSIA3dnIHjiSY/lrqvae/CAx6furTGKFaNYcf6CjxGa2HoY4YHWiECjpcRXgpq0zuNVEChLoKyrAdeZ56tL5vbzvswC3Crr0RQFe/uewffzAq20YG/fj1Eq4iuPKT7+9RbK185uG9Pfz8/guRfudLgbuzAaebzllUM+eX+XD9w1RT+p0cx0uJfr8JgiyZZ3CwmRX0l5GZqsaP0KwE3WAa8dk3takWiNTlIHdJWilBukP1NLeOX+hFv2x1gR8vY7BoxiN87tr+8NeOiATz0QLHUVTzzt0x3ITCVN+KKTTIYrrW3WLC99ScT8dOoaX1LDO14/4iVXxFgj2DRtmJ0GhcJanzRV9AfO2NjUFLz2pRYrR9fr2swfAD/zDTH40nKXudlW+5d//5P7DVYFQQ0jRTGWwWoDJsWYhNCkXOgaLqylYFOeO9XkU19x80mssUzNpLzi+phWzWCKgoPnBziZ67DWVzz8lE+3o5BaEhpJaLVjJqFde5DUCKndeAopqCnn5QbS4EvwVQZmVc7ocyAXZcODdo0AeeNxFdyO4bOyWi9n8LRyTwh0jLURZ5d8orBGMCXxs7S3yqryxrKYFb+4sE0LkEtS48adzbQUu+YjfDFimAQME0Fdu/kheQ1JntBScmLDrnz0A5RxkTFl9tSYSme8zCoa0yxvoFyCTCXESYqK3ZgJrVKkStg5b7IVw3DV7hGRHSK1odMRPPyUZm0gUblrKcQLnGtXPdisGW6+PmZq2mITt8LXFSghM5fOI40ksVEkRmGMyr6Dyhw8i1BKNeqj/TM7f6SdxJ2u9sbnGq4D+LkLSywur/72ieeO3eFHXbY2FLFxJntoJJGVxEZjrO+iW5PpJZuSWEPHGiAFaemuWc5/xVaWphfCd37VC6wQmHzLBbKaU6HKIEdKlHAz9wLpUs6+tNkWJDabf1IyXg5uT7uOerf1HgW4XVuX2xIl8AW+pigxdQyesbh2ewJ5OsHzYoIg5vSS4c++0ATt40lRBpiFPBHrGLxqneVDQh3Y3FCdKPb44TcO+cQ9Q55daNFPPRqJ25TWVQHashNH5TkBCo+6OJb5SmFkpcArv5uiFkZrhZe6eSleBnSXOEudBaucBeuCe5OVaqRoYRE2Zb5h+I5bLci0sHWd/ngBEs/t49TDJJmtabPdJowsbGibPeabhbmYRRWvk8QwTE/f4U+d/m1rkp/9Gxn8Lz92J1IK/+LCOWbqbkeEKLXERrh2KCOIDIRWEBtFKiXG6qydrBIBZ0c39XLmzu/Vb1lZyoQAymU2D16ElEULmhLgC5dW9oWTAlpSecybaiuFRJrKHBSKPX7yrvoS4LKQLYFvi5Y23zeVwTkJXsbevo6RMuLkBcFit4bQmkAyJk+K9HwlKVJ1EMoOpmogqIgSj7l2yJ6tQw5eCBmmmlEKQerG23lJpsMTCmepTKGrsU6FMosoKw3dlZEPqUGnhlRJlM63L1fFTnZuSFAV2AYlyslY7m+biiFQGSaUnedxnJcJwbH8SQZ4U/HwTf5YWW3SbPBQkk3XimJBL1xilHzB34hE1wH85MlTDlBmyFTddVV42X6LsQQ/Y/Na9hhbQWLdZNK0iOCzyJlqfW9unVRAXtWMRW13bkFl4x4EaIFLOIgMtJkEyJ8X72VkX5aCUjTY+ko4sI+BW7pHPwd6HnxSbE/oZ00SuUTxtNOnvh+TEPOZ++ssLNbxphR+tYaj6qAwQWZjRUdiIghUjEI3wfbNt/a5/8kR3aTGQGvqiSHK0ulKlgVRecGZA1r+l/JAsyxfdtZhNlPFQqrc39RGkCiBTmW2i50re8iBXgLclkDPMsmikpsYAzjA84C8WtYxDnIKcOcj5PKCtLRgbhdDuA0QNGEkSdKUfnhmgkA3APhX7rqLZqN+2yc/e/dN/e4y1gh0bJGxyBqJHaiVAW0c2BObdctbSDPzPq3WnVBG0vn1tVGqV2anJE8kKByw89kdOdiVLDWuyoEt3X7y+SiEKrCLOSgK14+4EcDzgDPX3TqXJTbT2+O15L4X43sRFzqGR4/UQfvoTJ7oSoFSnu0TEwh3jlJZP5237xVZx1QRxx43XB4yNz2ks9pgkCgaCrzEfReVuqGlKq4CHAfy4g/J8Rr7ovbeBWpGGVIj8IwgVZJUGVIlSDKQJ5XitbwcIq8klTmoKxWlkmwLw0pxVi5Vxn2VcmUpMt15OUfmvpUTtUQhR4oAOZFEsWYUK4YjRX+o8OPWTXuuuO22+756x323vfqOjQHu6wTs6DvmpuRLa54hCURpwGdpWmmsA3g28yQ11s0+sQJDpVuDMns1WYRTBbisZMIEGSNRgrpaByEFhfaUFbDnIHfNxXmnipMlquheKYGdN9869s40t6bQ27klmNe85+D2iurEGEHMp+8NuP/pFjLQ+FK4+dtFBWHZRldm+iazmWLsRBb60iiGI49brhnyna/q8cefbhGlAf1UUkvdXjlaltWKhUyRMmPx6p96PiYHo2XW9CsKcKdKopRxjC4lMuvaKksjMpCPlUyMs7esgroK9OohqNQvjZdXl4xeHhP3WMxATNwWiGGkGIWapTWDHNqXTm0efEeSxPdtyOCPPnOMRqP5xnvv/coPnTl/kcBXDCM36suNd7BFc7EUkIrsfZGnXKtdOXlvnciyU+PgLtQJ42WYkhIYqlLzUJRvirxrZxLoZAxO0YY1xuJZN4ynxsHtxilMMHfWs+ln7W2ezhsOkso9JiLmL+9qk9oAVWQvqwFm2deYOxtjGhxRacrNluPMLnTBpkbg8Y7XDvjzz4SsmZhhWmOYCryEgsWltMhEFEVnzi6c1KKyYk2KCsgFqc7mk6gM5NqijJMrqbRIZUikzBwbWQK6wuIFg+fMLSrp+0mAj90mmZwC4EXX14YAl+MzEI0iHp5ny+zZH3rpTa+/26aHvyDUFeMAb/iChs/lSRhddmGhA8IFjsX4M5kxuXBtTLlGTqVFVTRlfvKKOSbPd8sOgMxBnjP6BPPlTL1uzmDxvJztke9JozJwKzUx7CYDtlaidFIKO9B13LvGZFtsYZgzt66wd+BFPHpEcvhcDas8lJT40jhJJaoSpVyaJl2U/J5PFsgbIPKkT5oq4sTjsu0xV1/a5+vP1YmVzzAR1CR4qUUnwsm5rNFbJpkOR5It9hOySEwEtyWbp0Vlo6t3SVV2wabCae9sBHTO3g7osgLwsn0wn6lSPa9iQ1fF1S5Um1yq9Uvr4xNZ2XvJXRBSWlp16A8iOh1x2aAvLw9H+gvrGHwqWKARBEw1eoxiQ5KUjOymRDldXCTcLVghUJYxWUIhaV7Y9l6nwSdqNuQEg+dMXTK6KLvnBUWnS87k+b6X1e2/c4BXh/+4bnsKYBfZyoK502y78Cy41DGWmI/c1WB5uY4INL4Eb/JC3CjAHPPBy97Eah134U0bRRxr5mcl3/e6Ho8eaROmNQbKp546LZ6XsypJBu58rTCZJ547WplUmdDjRVN4ZRKVNmSsma9IrnlbmbwWSBZJJpk1nFdZXFQIq2TyUp5skMAucVKpWcrLsXMmL4Eti6kMQriyhXYTrEk4fb6Hf+gicTRaL1He/5d/Ti2Aex+NOX5esGXanazczFOFSM4+qAErNm4WLj/w+oVpEthlEGYLiVLNAFY1rRob6jPB4Kp8LOWKROlxgPs6GwDk5VsHZhlObfGKVLzJnqdjd61c586zJ+HDd7YIpY+SKstejs9kmcxgbnRicxIwE2xlMgZPUk2Qar7vDSPe/7kBTx6rEyuPgZT4qcncI4FMy5XWBX6iKHtwN5P9rfF9i6pMXoLbTRrTJpeCBpnmIybKkcvOUZFjWjwHdL6N+IZSZQLkY/HZBmXVpVQRZV2NKRlfa4sUKTsvG9GN7ufhB5/BU6VE0wCHjpxl32XbG//4X/2XSxYWDtPwR9meOiUoc4CJzCVxez5W7K5ca9vqhy8Lq9joSs5lSgXok8FZvtTnwCmYvDruoDL+oDq1Set8k9dMe6sJcOfpey9vTDZuZkjRIpb3dCbZPUZ5EYfPanqRD0pn8sROlMeOX7zrXJSKHraTXnjWjVMmfjRNT7B/x4gnD0ekJmBofGqpq9nWmQZXwm3W6hJLue415EFm1cMqKz9d6kIXIzzceyoblukypo6xU2OL452PXU5kOX99PNCstLmJAgmZbSjWyZWxqtLCoBATx0gUHn61Gd0ZE5bhyGO2WecNN116yf6b/knjH/zQvxwEjV0O4CdOn2dxee0Nl+6c+4UDTw8Jam6kV/4/MLgvZqwlH8dRzbxPjlWz4/9ZtzxVwT0Jhrx+egzgFXBXx7KNPapyyKasyJLqLsaeIvPCHbgdgMuhQF5VnlTZW2V9nX7ESs/wn/6qxfKwhgg8J09kGfjmoxeq3+v5bmW/YtmjWjJ4ltRINO2G5ue+p8eXH22zHPpEUjOUEj/roSxHPuRBewkiZ9tlTgomA7fBIhl3VkTG4OWohhzsKgd1UUCWs3hlY7H8Z7iuq6JOvKrDn0+P28rDmIzKL8jKajPRBmkRmASM8YmThLkdW36ht/LMfXE0/ETB4E8/8yxBEHD27GkagaFe08UgRGOzzZPyjyZc8Cgrmru8CtfjekOAV1eGMeYuu1+Kjm5RgiZ3JxyLVwCuyvFjqgJqLSU6kyS6AHiuuU0RVHraFOD2sl7OsiPfgdtTMb4f8aG7PJ45WgfpIaUkyMdViAqbiUofpii70TcEdzXhU9SLZK6BcS1nSeJx7WUDvvtVXd7/uRpGBwylTyBFkfRRUhCLPMG0nslFlcnHpEBZE2OU28tUS8fmKpsKnF+8aQZ0KUUW2Jb+ew56t4MepVUo8nbDKrDF8174pXSrJIOKvEpVtpSEkBa7TxhqZ84TJT5J4jaG0AB7tzXwfZ+kX6O77JMYyTA0ELuzYLLVTeWyJBtx5HYNy1X6N3ZzUbZAZv9sjMElEwAXY21ffyPAi4GSYiLRkwPcujnZmRTxVOmWeJXhQKXmduztaTe1arVj+OuvtFjqBFDzJuTJ80sUxMQJHVv5Jmy7So24ySRKnGhm2orvumPAJ+8fsdwPiJRmmMrMnswAJ0QJuIJQSh1ubdn1Ywo2L4c0KZvpcCXQ1lU9G+MeU1UJ7qUlzf5mbkDITPcXQWc+9q06V2Vd0ueFb2UTui37CcaCdCfrolgwCCVrHQ9RqyFqDeLIhZd6ZfE5mq2ZvUcPPfLzq+cX2Ls94PySIQxzwy/T26I8KVQwXWxZshFzTwRY1Yml5cnPrUIxob1FGTjly34O6DGZIsoOl4y1VRXYqtyLXufMrSrMvY7B83ET5cgJrVzm8vgJwXMnaxgChHTuiRZl6cC4gyIqrka5bFVrUUomryY2cq0pi+KiJNVgNVfuibhs24jlg3Vs6jsWT51M0RUXp2gYoVrolQnuvIwWstohQRl8gpXl3MhqbKOyHfJMRS4W20IaUWFvW5Fo1SblMo8yHmzaCT63Y4n9akN7fgALK7rC9v2B4NwinFg4xe3NS3/+tltve/yxJ587obWMSZPR1unW6I1X7T6Gli0On/HojcqJ//n5EWRAr0ioF3ACK6Ce+FIbTIUVTGjvMQYvO1eqQ+2LR0XJ3IUPXr1nW1qrKrgrIM/2q/dUxtoZe6vstdYxSsV85ustDi/VwS/lSdU9mfw+k+Mi1jFUJZYZ83+L5EaljDbSXDof8eZbBjz0bAOMR5I6Le6l2ZDPdFwqlQDLGSm3DSX5/MixEXpWYGT2XGariszv7tin2YrhgF2NjbIV2JRMnsuknMCoXGwlHiYP0H+bGtDS4jUswzji2KLhief6XHuDeeNgGG0dhuaEDuMIIxJGUZ8LnfPc+eRmHj4yy5aWa7TVlelGOdvmL/7Gj/I36G4qzF11TMrXJaCFGAd2IVOUqDThVsCdzScst+1gPbB1OSCoGPGmTQbyxMkTFVNvRHz9kOITX2kyHPnQ0Ggp8MS4NJkMMJn4rusAzoT+nrAMq754nGimWpq33j7ic/cPePCQj216DNMgq7DMi9Oq7JlJwgLcJcjHWBJTXmDKsXkqnR7PAZ4W2WORsbgtz08hVSZyABP38vyLcaB/A9guL4gs2ZhhUWlLPUjYs73DyPQ5sybw6iFKp2gvQT/8HMxOp3zpHp/fedc2dG2KzTWZFcmL8kNJJpa8jRNTk++vi6CFGGNzOfH/HWdxUQkwRUWLl9JE5ml6WQmIVLVs1rW/5SOUdbYJk1bjQPcKtnZ3pVyA6fsRcZTyua81ePZUAzwPIVVRtqtyxpQli21URTjmqFRZm3zU8HovvCgVzbR4FGmu2p3wplv7PHGiTpj4pNJjaBR+SvlZCqIorIF1ILcTnwWVX2wGowQqdymkwCqcqWBKoBfnxlRmGZpy1aiew3L0xyRQxYYEsBGucleGLItuZQb04mJTfNct8N2vXGR21wqN6T47Zrro//zez+NpzcXlLs3aNNM1Qbtm0Go8Nb4RM42DWIxdaRs9H1/CReX/JcolTojKgamAuwLsMQ+8UiZbArycnFpIlAzcbsafLZhaF4/lcy8LLrWKCfyIp08KvnB/g8HQh6aHFHnlYLUmZoMspqhc0JVTV0Y3NtPAdsJNKfemTCsFWFHs0WpFvOmVIZ+8Z8QTxwLQPiMj8XMtbiBOqdSGgEhxiRYhXBKjAHsJbGvdyldIF+nYPF9VChxkQC93rBYIU73Iq7GURZjyGDiSLFeVDeXrGKZs5XVJtlZkOl24epwkFfQGAcJOUQt8ls8+yerCKbAJeri2yEgIVBSzc9pkbVyuZ3F8fnQJzOdbetcxuxj/YILqVVwJNqUYDy6LAzXB4Fl6Ph/xO8nabrpV5bmuzgfPRwZn4M7uXj6FNivw1ypxdx3jeTGJTfn0fXW++nQdahqka2j2KiW8Y6Wx1Xv1xQa39ZNVRTEpIXdU0mrBv1GEI4/XXDvgzbcNeOZkjSTxsEIxFBovLT+PSEsWX/8xxpm8/PsWpXLmdmzuXgukEYUOz4EuM4elyF0UmdQJuZljwdgJiTKBo3XZznHSzINnk7lw7ltIt1WsFSSJRA88/H6KVGtgLXq24QAWeTAqipTKqrxysLwYO2mT7sBGAB/7chPSpKq9yyVtPWuLgrU3StNX7tmOBbpg8Mo9Z+6cyVUV2GnhnDjHxD0qFeN7MY+fkHz4rhbgg/QQQuEVyR1bFFeNlxiIiVVNVLhblNKACR1ezE+XTiqkrnXPFf2rIn1vreYdrx3yxa+NePiomyQQG8UgFVnBV3bO0oy1JzKJVZBbax2LV4Ge3VUGeiMz+zUPik0ls2wrAabNQG0qx0JWqkWrZFdI1upgVTGGo3XsnssfKitNtgltkkpGsUQJhR8EKOU5gLebbpBLpCWecLp2MsirAnK9zVMFt5j4QNXH8qqtgnk8yMxYO2fxMWlSVhBOgrzcjqNk7nIAfhXoFdauPOpcf6tcfyd4XkKcJtz9YJ2njtTB80C64NKvWINlcMy6TZzGWXOcP23lSdEAUc0sVqsLU4lRWXYz1YSRxzWXjXjNKxyLD1PH4qHwGRnQaWnbyTS3Cy1ur7BxkFtbYfLqyiLBKovM/HFrXUwmrEv2SSsKFi8ALscvdClAmMr5LZI/Eyt5lRwLklxfoFV1Ypzez7CRZJJMSsDgxx5K5wBvuPFfkWdQQiEmLh9RAS0VoV9wU/XXK7qpqIOunmwx/oWqIC9WCTEpTypWVGXHsmIPnoruLsFui8ecufN54boAdTmBVukKwDOJ4uuYw+cFf/K5FmHsQcPL5AlFa5oayxxWVrexpYpxJqigvAr0scGURozr8XVaXNMMJD/6pgGf/mqTQ2fdxZcaxSBVrsowzZI/CMd8aTaWowBPvqbY8qLLaFtWpJPKNLq0bj63kE6fO4CLQgZJK0rQFfEUFfJy2ch1yT0xjp0qIU7Gb1VGz7FXvM5Ku40R+IlGa421BvXud/3+lmbd/7/Onj19Zb4DsFISVbHfqsGdFJW7zEGajRHL3q8mY8YdkMroXykzfZ+/lz0qOWb5FY+qtADVWM9l5bk2GWPn3ncV3KX+9saKqbLdH3RcNDN4OiKVEe//VIM//8I0BAGoGkppGsrNXPGVLSoTvbzJOWuNKzOp6zOsZVnvpMSiMsS/jCOEBKmq7WLuubCGXVsjzi5JHnnKJxEShMJkJKWLdH019pksGygD4ELtjhXLlRdftTLUTmh3mKgdgbH4YuwCZoPdHYrfz8plmRz5V7VRKcp7jXFTZ5NEECfZuOlYMBjB7ktesvWKq175JX3+3OnpJO59u5uu6rn532m+j6GlujGQHTs040/GAofJ98T4AZ5k7nVeeLW4KpcigrFpUeUuajl7l6xdyJMxcOfbmdgJSZJXCubsHePpmOfOST745QZIDdKxd9G5X+0mqq4wMAEoxpjdWQDj7D2+xUflZGZNCNq6EWxp3mWeKlKVafFU8/2vG/DxuxscOOOBjLBCEhqPYSZPikAv239SpKIqRgpwOmmSNR9k1qXKfiNvaHEavGRrp8FtlsnM/HFbSlAzweDOUFh/fCYl7ZilWsFS9cLLL768IjI1kKRuy/jhaMSmpc63W05Pa8kIX8VMtdz2yWEkSJJy99l8K+0X6s6pbsa6ke4ug67nCy4ruq3iJ6sxsI/PG5kEd3VXtfENqGwhTbxs9LDW2bD83O9WiRu/nMmTVCV86r4mBw6X2lsK6bzvooNm4vNWlt2x8t8xP2A9UUw2IG/kieed7yaVpDJP4TupctXlIW+5rc/RDwZEqQKhSVLNAJFNg81HHQsklrhc08dAXn6uKshdI7eVecBZkS/SZhWJLrttpAO+MRtJlArYzTjo14F7AkOTx64AePY50oLJIUncJrjdXky3F+IHI/S+vSsstjpcPJfQHXpIAZEUzktNBEbYMgCq9FeOS/Xx6LfQ6ZUvCNUvJDYOSCYYXIhKl4zKtXd1m0DGwS0rDF7cy13W8tR7scWJNGiZD813k2o9L+bYecV/+VibkfQyBteVrvm8i6iaDq8y9fOclcmTNLZ8Z25GUQ462bYli1rxHNyp0SSpR5Am/Ozb+vzV3Q2OntOgYjCaWDgWV2l+wZV6vPyAVZBn71lQuT8vHdhldv6ltC67aW0ZeFaY22bHw0j3b8yYJz5BboCpAHwy2zl5CPP3JqswUwNJYklSSxwbosTQ6aecvBiylozQp87DyopgEAp8r/rl3ZdNRaW1auJYPB+41weX5e/kroyU419sUpqISdYWdkyayKzbpLQIx2WKHvO3TQFqpSZcE5WPJ0vQOqIbGf74k23OXgxA6cwalMWAoarvXTyvfA8x8b3HltuNgM6EBrV2wkXJtacs7kUzhFSkiWbHppCf+u4ev/knPp3YBQTWSkKjnG2YigLk1WATUYI898HzIiZbgJgsq5m9lnkVqQOxFFkAmrG0rIJdlkDOyW29lVp1VNYHn2MAr8QBhYxLIUktUWyIYkOcGOqBYMcmxdy8Qq925hmMRLaDgWGo8t2/XFrWWke9doOLvQrx9VpKTJzs9fdJ1q4u+UVmbAzcOeCrsqTc9NUB3IwB3IHfoHSFtfNdEjLWVrn2DmI+8OmAd32kTWg8J0+EKuRJ0VS8UYEVle9JOen1heh8fUWhHQvGbO6JG4sxZn0K37itwGs64Wfe3ue5kz7v/ZTT4qBIhWRkMjclzT+XLdBSiqdx0US+pSM5m5cXoLSOxa2wpZ1YsHfm6eckZfO0vbsAhHClXtWy6Mm8yCRZFkdPlB8vB7jNYoLUWOLEMApTwsjJ6prnM1WvoffvHRIOeqw214iSOueWagxHssSxyK74sb8yHgRMsjSM61A2Anbli1ZrOMb1bWU2StE1U9kyUFVdBzMG8hLoaQZsN4asqDNRFf2t3KzBlVX4qy83WA1zcDuAexLnfYtJeVJdebLlmHHAT+K7urxOgnysqi9vuDWTM0JkocWVURjjNPeUn/K21w/4+H0NlnsKZAxGEaNdplrkRVHjF2PFZ6t8RsfkKse7dNuX5LrcWptNWRBFIijX+tY6FeRY211QtpKiF1mgbSsgHm/OWI8lsTE/FMdOZM/X+pbzK5ZO3zC3I6GbJOjIdBila3SiReJ0iu5A0R96RGlWPpyBtYrsjWVJBewVxp5cdsY0d6XNqvq6yt4qS/2Oae/KHp0FyPMAM2doWYJbVbKWSqUV1q6wdyPh01+p8eBTdUxFeyspK4VV4/UmzwuYyn0MQ+tuDlilDVfZ3tzmDF7dNToLOq1EVXzxJPXQJuHmayO+8+UD/uwzPqgIhMQKQWg0SmRBJ5lUEeOgLj4LpWjJE08q+4m02fgQOylRMtKXGbCzRSJn9by/t7ra5T+jgpVS3tqxY1ZKlvKN/HBK4aztZs1Sb4IXjQjkAK8+QAVD9Cfvr3P2QoP7H55ipllna9Mw144JfJXtxejYaUMgb7CkrAM3E18uf68yv68sUKp0hxfsbSsMvoFEqQSWVXDn2wkqVWpvpdJMomQglwlKusHvR09J/uTTLS70fLfftXSD3pXAdc2MAfv5SkLFC7L3OgbKwTQROE1umGuyCbTWmGzzKsfkKiulVdJtf7KlmfJj39nnvqcCji5IEDGgMEhGQhabSJEda3LJMgHy/MMpWepRJ1Xdh7SyUgWZPxel+WCyjh6be/HZKlCqgbJmPP8MbkWv9JJmgKoSxNhjxvT5JIXplmbfJTHzcyGB12PbjgGN5gidjGrEwwajtTbDVDOQ0AjcFCPhuUQFrA8K1wFdrP/5+ue2CDyq9pocY/CNtXfeyS3VuFTR0mTv2TFwjweUpgJ4Zwlq6aSJ78eEqeEPP9Tmq4/WXW+b1E57S5l17VDOH6l0ka8LMCeYfCIpvN4qnEx0MK7FqyPdihkmNi9lzrW4Ik0NidSoRPOaGyN++h1dfuUPfcJEugyUkSSZqyJN5WJ8ASan8q7F6W5yzZ2zu6SMG4T73LkHbsWkdKk2QmyAjUxzjG1TmHcBVUnTUpZE4DCjtduFo13TzNam8LVHXc8QyDb6kq2KhpCs7HUZRt8X2RBzW/yPn5exJll94r3yd8svNp6+LfsHpSyr0IpNXsdYvCpNcqlixth7PbhN9n7V7zZlcCkTPD/hroc9Pv7VBmHkQV077S1Vwd7F7EPxPHMHK/bX2LJKGWxvRN/VuL3cPLcKbtdJU5TSZp64yhhcGomqAD1JNPVGwtteM+TOrw754sPK2YbCdS3EQjOk4qjYyW6fEuS5a5LrW2Spy0sfPAM2ZEGnKKzCnBDdjpEVln4hHE1IlnFVkEkX4epQrHA2Zn7AUytY7SmGUZ0o9NgWNmlN1dHXXh4zVUs5eMjNfHNz/GTRTDCebHn+DzempaCy7FRlSa6bbCWwrE6vqnRqF3/bjGnvSbCX4M5ArUtLsJQmpvC/C+0t3ZTYtb7l0/c1OHS+5qSJcCWxokjsUJkgtb7mu3gsToaoAP0F9EkObpujwFYkSilVci2c16XYvNKwUkYrhUKmBik1cajZvzXmO1/V58EDPp1IugON0+MRykkVJrX4uDxxWsa9zndtKJI/svIZZYXNhS2CS5PVr+T9vOMNM7Y4ZoxlNnOXpwJq1rO+A5M7brlVGMcwEo4Aun1B90yKt5SgnzhmOH8+ZaWTMjvlFSOFVTZXpFq5N9axwkYArwRdk5JGlKAvLLYCMONMPgb2Cd0tRRlYSukylTIHdxXoqtyZoPqYg9vTCYaUP/1MnXd9rIUV2vnemXPi2NvJkzFLcKK4ah1z5yequuI/D3tXSyDGvfCqTKm2suWWocxsQ5e6N9JkmtxtESiV4WfeOuDIOY93fVwTJ1mNgZEYBCMhXe9k8dcdO04yed6UkX8+lTM1rjWu+MwVNneAtpllmHnjWTGWkG7kX77qWUBYB+iiA8mWx3CyPlzIAtfFp0yyC6Fa8jE3lbLzkohGK0QPeu6q9z2Jl+104HkST483FRQnmfKElvbhC2nvcTC4i6TMAsqJ90pwZ2CW4zpcTrK2zHzufK/6fEZ3vklsDu5CmiQoGeP5MUcuSD5+d5N+34O6Ktm76pxU29LEeILn+b5z/sbflOTJGXx8cGnpgdt8Pp/MHjPJMtb1k0+mlU6LS+lmGraaKW+9fcDn7q1z5Hx2InFsnhrBCFEMUZVmYyZX2RWqKh8u971zyZKDzVjneFlZZi9trr9FZWiUyH9uS00tXKBakoVYhy1w12Dho2cXllQCskldeZArkWjhUfcC9Nb5OtLWON/yqAdunxpdVO1VEy/jDP18KdZSj5dsXZz86liDquUmy8BNZLKkqr1LWZJvn2efF9zFVteFU2ImpIkrsApjw50PNPnyY3UIVBZY6nXsnX8OJcqAqZBcTDgnExr8v+lWQfdY6WzFSbGToM5YPNfjqZDIVCGFIg4Vr39pxOtvHnL6sx6hcdWG+RaPidCMLEgjKh+guuxUXouSyVUmK9wWl7l7Uroz1jp5aYVb/Z35kq0FxgHX9VTmgW6JK2x+LKtOSkW65BizmRwyLmg2yoztJDcKFd1hHV1roDdv2bE2CsPPzc7U/55jvGwEwZgsqYyQyE9mAeTqB7HrgO+0dzXIHJ9dNylLRO6WSCZYPHNQhC1BrirALrKYVWCP15lI6Tp1pJ9wz8M+v/W+KVKrQXtZxaBGSIknyqIqJSYZvALyiXqaIrCckCwvxN4Fi0/IFFP44Zk3TmXiqhEYMQ5yYyRGKFJjkEaTJG5/oV/88S6HzmjueUhi/JLFrXF6fCwYHgN6BeQZiFXurtgsR5HLBeuM7twLl8bRrSV3VKoEKYpkUNntUwK7OF6iUso72cpW/f9lVZdJ6hy/KBYEvkez0fzcJXt2rKmbb9jdD4fLR2sBPy1JCHyRzemr9Deqig4v7hM+9rrmhIrkqAyGH9PTlXrvavAoK7JEqarPXQG1qrB3BdyykoqvJneqvZZnVgS/9SdT3PdY023KI/0C4FoK6pJsQ6nx8tiN71nde9G/On6XWc27VNXX7rhVmzeKho+xGpzqMawkx/IxaWNzuatOVDYE01rm5xICbXnwSZ+14fpIzWQsJStAf/4AQow/s+OXwuQlMl5HXtnOprjCx9/LSxaKfzNpoxaxSFkPnppsl5HUpejjOMUKj9NnFn/soUefPaQD34IwKGHR+S4B2VUzHnCMf7CSzculo1hCNtDfsvq8cmKq0kTlOwVUAsryAimL/pUqNXZuF0qZgTvT2+4xy1TKshw29VP+5JNTfOIrTWwt191OnhTsPaa9x/X3uHtSrbcpApMNcVF9y078cGyeuh1n8sJnzhp8c7sw1+JFvUrVWcmkSio0cpjytjuGPHvM47ffrYmCpBJECYz1CPNqqPyUV4dO4jzt8rO72pYcBrkJ5BwRm5XLisI5sZSMXgSXxTErMWErcmVy5cuf2+qyt+4QZ2UB1iBkmrlNFt0IUoSQpNqQ6hSRCad1CYjsm7jXk6doYyeFFwB2AfAK44xPLq2k4/PtMiYCzEKmZHUmShrX/aIqzolMkUXNScoXHwp432ebjNJsCr7M705757u5jWVRK0Cf9PI3tE0njsnGbFg9aeOOxVgXTQZoK8uaFCsr81NkpU5FWGSaSRVhEJlcCTzDj7+5z9ee8PniY84uzKUKCFI0kXVBZ7WdrSz2KOWKzV5bHAEAhSYnky4Im4HeHRArytR8Oc5CFHo6fz83c8ZGvOWHrsBhSQbj8+jzojCLUJbEujJvPT8VIqQgjhNGYQKUs6OLrTWKSfsU2wRWqWjjlP0Gultm70+CuuKabKi9C/Yed09kNUNZ1dwydYyuEqTMUvI6ZhDCr79nimNnA6weDyyFEHh5cDmZmpeTzL0BmAtYTESZYygfB/nYEj7pgZMfawcmQ2UK7FiWU2CEdLunSVPuLSmV29XYaGRkuHRHzP/5Ex2+9i8DeqPsC5hcmEgSqRiZfCXKQC4pxwsb977Kvoat/Lyw8kVuG+b1S7ZiHZbHzk4CPXcqi8NlmVz1ClCT49CWrWu2Ul2YWsI0RXtu9dON9pxLEEQdtOwDbhRtkhfZFxv9OJtKmFInlSexWMzGPmiVvcuCKrs+wNwI4AXITSlL8tcqZ+/14C6kicyfO92dpPCfP9risYM153ln6Xik20F5kr2L4BK7vt67wtDrfH5RDt3c4BRtzOSVILMsusoTKxNSZaOGiGznA2kkRhhSIRFGIkXW4iY00hhuuDLm5763w3/40DRRmrN4jkxIjGJULPgT5bQVkFuRW4iuFkUZWwSYFvKZni6YlDZrUh4H+Tqgj68diCqRUpVtDtipdQke13nmOnpc0sewe77F3GzbbVF+1UvejPZbrF58nLOHP4aQQTYLTxIlijh222eL1E0dEKJkmclbTlbjnS4bWIMVrV0FuVjH3CV7T25EWgaYFZtQOebOJYrMqwVrKV96oMZ7P9qiM/TAz7W357R3hb3XbbAqy4t1XJqsT89XI/+KKh+HtB17YPIwlnIQxqZe5dLEVqRJnviRFmvdvjpSStdNYySpUEhpXL1KomjXDD/59gGPPBNw59cVNJKyrSazJhIjGQH5rvdjF2U2UcptZ+NM6aJfINfp+fVS0d82a4gobcPsL9oS6LKQKILJRbBg78xZSvPsZWqJk2yTYuN6GAajlO9/+8t57W3Xs7LWQ/u+Qnmaes0y0+4jZEqcKMLIYxB6gM4sKlnR4fk8jUmAV+sNNrIGyzELY7tzVVl8QnPLjcCdbSddgruSzMnZvJAmCQdPaP7Lh1scWfKcwS9KabIxez9POv559fZ4UkdMnp2xg0RB12O1KJX0/FjXeiFLLFVffOyeT53KC7OERQiJka6k1p0LjYwtl80m/Oz39ThxQXP4rMDqCsAFWDwSKxnZnLErl2GuxXM2z0AJZLreFh0/LiNTsjbSbZlYzg2vHEM7rtFzyTLG4EU8kvdgOnCPYuhHkn4siFLBYCiJrEZqD6E8tNYpUlnqwYjNc8tIGRDHHr1hE7vWJEkcmxfALc6TXXfi8ih4nSyhCuznZ/Aqa5dMPjkywYwDXeV6O2fvBCnd3Q9iLnQEv/7uNh+/q4H19Jjudtqbkr0rnne5weq4zz3ZOT+WC6i+VwX5BNjt5Au7/nWhtSu/4uo7Km1thW1WeuNpNrtE5lpcVILO1OBJw9vuGNIJJb/wu5KFNQFBhkSTsbHxiHKNnb9fAXZxAWYFTyrfCshUCq8yFpf51zJ5LZLNfHRRCTDHGb2aVBWVFc9OPE+MA/eFvmAlNCRpQjoYMYhTUgSxAe17FhHoCxcv2C/c8+TWN548t4avLK+6dkCz7tHpB8UgGiexKxHBJHsXH3acvcvhOOsBXd0tV1UTPWoS5JlDIkqJUoB6grmldDO9Iwyfur/Jlx5qlLUmmWPigC7RwnneZbfORsPs2bjvMj8Z+QUuNjouVQCL9WCeZPAJ5rbGZunxcuU02axAm6fwRSlZZDYJIc1ZXChSAUIYjHDbQwba8IaXD3nLrQF//jlNlGRXeS5XpMBaTZQxuJDjILdmgskzdlb51xMlMvPgU+ZOS66/TTZ+Ofv+ssLaRVdd9dBVVrzqatqLLFPTA77r+hU8ERImc2yaGn3BWn1BCIOWtRv4F7/5lyea9an/dP9jt7zxi/c/S6Mh+ZHXd/h7t/jEiUccy2znYkppIigKZTb2vseDyVxfl1p7owDTMJ7sMUVgqZRxsqVaAjsG7KRgc61jUmH45N11fvu9bc4s5bq74ntLhcwTOsJWnJPK52Yynsi/5/hk3LFyBcafF+c7dwcmkyHj10NZE171oTP9WQW5rbC2tNlA++y1yGSKA7cjkerzONTsmov5hZ/o0BlJPvHVJnGaXdm2BLqViigvypoAORMgtyIHv2Nzi8hYO/seZhzs+VFwSdBsrERlwcsZnYn38wBXaveDvVss3/HqET/6+gRrLV5zL34r+k/W/PWJl+z/SbdHjy9itBXMBCn7NwtmWj6nT8/zyLTPjk0S3zPFcl09WVUpUqRPJ+3BqiVYsDUViZI/mg2DSykycI9JkzR7r5QnBchlguelHF+SvPdjTQ4dDaBZlSaysAU1WUo+zygWrD3+XTeqohwrScgO/0bJiW/0lteeOAti3DKsSpNq572c6PpJhUDYLMjM3hNSZml/ibBZg4QwJKHhyksTfvytPR56yufEYiVilqLQ3znImQR5ocHccyuFswxzps61SabVCxbPwF6Vd3kWQCDG54NWQJ2/Ve2BbWvBtk2KS+fnOXhyCl/1md/q05YWk7p/oQFeffNVNBsNfJXQWTjK/JRlZsonST0GofsCvjZFarj4QJPsNuZxUxROlUy+Uc3Jes09Hlw+H7g38L2F669c6Qn+45+3ufuxbORxpreLpI6QSEHRKV9OZK00Of8NAWYuWSYZ2u0wXDk7fwOox5I6FfYeDzzHM5smmwtYDTwLYOcsLhyLS2OcNhcSIRQpbrvvVBgYGO64IeQf/3CXX3vPNKtDUX7oXDtYMKwHuc09cio6PNNjhbyQ5XeS2EKiUL2WZPm2zGtlbbnW5Y5L1WKUUuApQS0QKKk5cS6g20+YbXts2n0FU/PXE0fD4mtw+d5tvObmK++UyepvXbGnzeY5n/lpTaOW2TdVDVl5OhlQjoM7c0Jy4MhxAI/JkCxDmfvbDvDfALjH7q4UdiQtf/ixJu/+aIterCdck7yZwY0Z9mTZhlaw92RTQ74isVF6fsJNGYs0/0Z8lyCvPm4E+IKpq/tEUmlEpizCyioNq0ODyva2/LkbHJSmmpaGn357j595W5e6ScAkYLN78TrFWEtoYGQgsoIk24QvKfa5d950Usw1L6dOlWOh3e9Uk4bldub5+3YsHjFUbNPqzS0YDEYpi6uGs4uSc8tTHDk++K3GzHV3Bs0dQObX//7v/Xs2z7djT8dXNAPzXY0gpd0U1ANL4Ofd6tVy1vVJnLHakqojUtHaufYufG01bgOWOny83kRWNHeVuWVhETpwC8/w1BGff/e+KU5dDLJUvFd63soxuZZQk64dzc+KqXTWmiZlWU1ZLaoqu5tEWRcunX5cN6RfiuJ33WBSOfazsaI1wfgGALLqvZc7zY1PINigt1Hkcwg3yj9UrruKX50HwDUvZfOM4b6nPRYWVWb5Va7e4pelm8AMZTKrclHnv54HmpMrWf5vNqwmmZB34zvUMa7Fs7/lFgU31Wo4MiS2Rm/In99377333/7a7wAqe9W/5S1vwvNqPHfgPo499yhK+YiCedfXkZT2WC5XbHEAq/NOcqDnB1xVJIio6m5RBfQLgzvX3rnmVjJBe4Ynj3r83G/N8NThAOvlQWVW6pfJlFya+JOWYCWwLBi50JoTB70AjRhjb1H5t98Ii9t1T6pJtPEirMmO+1zDlLkJJ1lEIV+c9hYmlyfOXRHC+eLSKlLjzgGR4brLY/7gF9b46X8n3Dx0n9IHz7W3dMn6MN8VvHg/kx+Zr1focCHKnxXa3MkVM3EsZLYhc87aMj941WOTPaaZNEqNA/coNIzCmEuuuI43fturGQ5HwL8YB/im+Tbaa9DfIghXhoxil6avXmHFxVykcVm3XI8XT1mqAeakOyI3cksqnvckuAtgF/Zgpru9lJ4VvPPjTR5/NiBVmRU4IU0QIkvqZNpbMuGcjGvucakyAeSKjizAPIbw3AJ4AYhPnDxbXBLr+zOr6fx8OXfD5d38SJklfNwINYGoaHFhyJI/FmEsUrjCLHA2osCiUssNV4X8L2/t84v/waOX4A5SxTqsgjwyjLkrtgCyQOf1KzjppP4GkIvsbQqvnOzirtC2LXNLWLfleH5LDSx1DMM4YHp6DqkGxc8KgGut0To40mp6R2em9WVr3YjU6FI/5VF11ZzP06tVaUIJaDEhS6SccE5yebIBe28E7qJiMGNvKRM8P2WQwns/3uTDX2oSygq4ZQXgxYyTrIl4LLGzAaCzlWjM75bVlWsc6GMOCrl9+Der8PFqzdJNyetQHFaqM7ezVrGJ2pQqe5fvZb44zicX1rksqVEgLFJkLI5FpAZfWL7vdQMOnNS892Mt+nHGBgVjUwwaNEhCk1cUCPzi5xay+pQiSsynAW0A8ipjF86jyC/2bGxE7pFXcwVFkZUljA0yaKNqraO1mn9kGMblypA/qbd288Rj931hYW3TBzrhLqxJqfkpgZ+PHbbrTmR+Mh172YlkTrWew47Jkv9ucIuSuV3rWUovgnd/ssm/e88UF5f9TGdXnRPXd1dkLEW+/chkh44dHwkxAe58BsrzFV4Vx2OMxb/B20TypwAzkJcol8FYpcMeUQnOJrYhzFP4+dDObORbOURIFZNqjc2m1SaarXOG/+MnuvzDt/ZpBQmk1aAzLoNPazAWIgOhhcjkgad7TK1wBVEZEFPjXpvi9eT+oGy4aq0rRMv+H3FqCWNLGLsCqxuu2sy1V0x/4O77v/6F/ZftWA9wgGHUZhDNfcb31OMzUzDdHFEPYrR2wM0ZZwzcVU1OyeyFLVhJ7ghRrfF+YXDLCXDLHNwicc9VggwMn7inzm+8u82FVe1sETEpT5w00RVbcP0Ito1rTwrZVWqzyqo5jm73u9/A5rjfAJtXXat1WXxLZVh+/igrpbTrKw3L5yXY06Kv0zF6DvQ40mybSfk/frLD37t9AKHJ3JQUbFq6LBMgj6wreEoMJLmLMgHyvOy6WuJauEIbfP8c2JN8YawlSWEYC5b7glEaIIx4fM+m+mc2t72xYzoG8Fe/5jXMivfdt2X29MNzs8tMTS3RboaALZhhbKxYcWLHffEx7T2hsQuJ8rzgnnjMwO1An9V3qxgdpBw5q/mzTzc5f9GvNC9UPO9KMZUDdzm8R1WAvt7vtuN6m/EAdLz+pHIlVC/8CqNX0/lVHV2c0ImTW5UsrGO1krnzTvKi2jB7XTB5BdzWyLJZuQC3A/XYo1EkkWLbfMoPf0efy3aFDsE2mQD3OMhDOw7ydUye3804a5f1NOvLFSaPoRBk83Lc91wdTxrRTwAAMH1JREFUwsIwYimKefZ8/+H//d9/6r7b73jdGMA1E7e/fuRSpBQ88oxFmg4/+BpJknjEiSz0d56wsWMn0lK2JVHxuid8bzEJ5snX6TiTV8BdtKD5KUfPevzyf5nmrkfqUFNUnZIyY+kSOt5YYGnH670ngkzxfGxerYLL8Typx6vHYxzzYwVZG0mSIrisMtgYs2UMjau2K/S5ydLcthpoVrR5FiSmWQrfdaNXiueMyQJRRb5DDsIiRpbX3Rjyqz+7xr/+LzMcO++DV/nsuXDOSjeMkYRFPXgppkU+edO4mMZ9sex1RrGZ+VZ0QtpKNjMnlCKbDFjlrNUdNfjZ2/vs2hqwZXsTay1f/PNxPK8D+Jte+71oraJTpz7KqRNHePxQwLZ54bbmE7ZoQsaCtOWpgVJvjwWZhUzZSJJsBO7cTak4JbKsFNReyomLmn/zzik+fGeDSKoJ3V02MwiZJXTEeJfO5PZ/43c7pq8LkhZVUJcWYPV38p/9j8iUHN/VvXImtzmhkCaMNUUYkw+7zAbsZC6LyPV4FvgK4VhdGJfdFCYXQy74xLja/0AnvOMNQ1Ir+Nf/eZqTi345CSmvhTWi0AFpBnKB+9tgs0KtKthxf09mjkj2XObO0FiQWTlPE03e7bpg87zHXDDPri2X8tKXfU9kTAr84gsDfP/eLdSbjX/5ljv2Xf3UE8t3YEaMIoFO3U7BHqUfno8Wo2DBqldetQarTD0O7EnmroK7tAaTopjq5EXFL/6naT76xSaR1FlLft6dM17nXbJ3OXqt6n2vS4gwwcgV1hhj6UnXpHoxZG/8N9Wi2HHZkrPYhtnN56kXr+6zmduF4y6LACsd+E1+TbokesHcZD559pgkFo3lB984+P+39+VxllT1vd9zartL39vr9DLT3bNvzT6yCA6gbGo0aiJGY4iJ+ahJQJ8kPlRiokSjgIl7BJMXMYbE91AwRMQICFFQEQZQhBlgNuiB2Xtmer1LVZ1z8sc5p+qcutU9MzAwQN6Zz51bt6pudVXd7/nV97fDdYDLv9KObWNamiFjFZGrOado6Ke7SEGtLSdJCpzaRmhKU4gRBkwNAq5B7jgEnivd9I5DUKsxbHiqip7hFT/xSws/PD0dttxaml1Raitj/a/umprfW9i4ajFj8zpDNEKg1pAt2iKVvmYmPKRgyAZVtZoGLY5NZpfccp84keKOy7Br3MHHrqniu3fmSW5zmSRWE48KFW8ickNhrXhvauoSqeXEbpyVYyI07sOzk9Ywcwcy/Ds9ql7mBjc3a4mb3Dwtr0BsxZNT47NhYUmWFRdnyrrCHLiM4MJz6/jUxZPo74ykZSWXj8ui8lwpnWHi1ieIlbLJjHxfZnDvvNaCJr4olW0afY+gEMgKbHsmGEb3ctaIvI3fu/WOqUolaLm/bt5NJwSYmBq/eNNedsqOp+snRg0XXe0uKJW6nHBFKrm0UpYkNGTc7i0KZet7nuROwR2DOgzMA/7pljJuvL2M0DGUSWJKbym5dQqa5t02NREWHTHjvdPw2NlNgXZoLDFWAlkifjBrYYuFxFhnLZuS25La5kvmKibeVqNQZ0pVREpNoLstSNu4jhKU5+tIBmK4Gx0wvO2CGjY+5eDqb1QRm4+xHEnOtCRPJLcUIFILJtDN5ony3hAhAU8MKmbqI7oWuOdQlIouuqpA17wGqp3ikUZz4uJC0J57j3MBfsyJ5+LST93AYna8uO/B+3HcwhhtZUfZYjW4M9KamBGBopWKqCCpdL/ZaYlDlHJJJC2BB9xxbxE33FFCk2rbdlpL0KQl2luZtvyzM3VaytCZ0jsH2DBjv4ly4MBWMjWYDwXUsyIcBj0xtrdWvUKLVzPh6VBURZUX1s4fCWqi6AhXXJwaVEWDyFGeQk1jZD0rQqSI9RnD28+v44HHPdx+b0kqhTrNXtdWydCV0ODcSHi50g8gwNR2ps6Dg6hY9rSCg3mbHErguwRdVYFXrOZYuXpYEHqAVRa87dABDgAXv3MtarXGDbWxzSsCcaBsVbbS/Jro9iIZT2VWOjvGZyJUJk5WcnObc5MYjheDusD3f1bEh7/SjseeKsjEBQvc5svg3Qk1MQKmZqMoyDhwNFBzpHnW9m2COqtwHhTcJF201uvYbx2P0vL4TsGb8m/TEQSlaBqcHNraoqQ21/5RknhdOU9jZLUkJ0qY6XHs4gifv3QCl1HgBz8ryd01ihLLSno5ieKp9DViJkqo1Hv5hBFJtCHhunGVjDtxOUkaAOj+rY2QYDpcMIPy+Tc4XmHW20xn27Bi6QIx+uTjX37tmSP7uqoOygWCwBOqU7DdNsTMfJcJwWkKmqPjvvWkcJhFURxDmUzCXkkMx2WgHvC9nxbx0b9vx2NPBdLPno0xMeJMKJEZOr4Gd16eJbKRkDl0xDANtoA+AT9pBb1hQSEHi0PReDb4dIJvA+xJObNkFbEVSkORzLY+0RVpE1u44RhKK2Jp7q39HNo+nnJyGbIhuTkLHawejnH1+yfxxrU12V6YZUNsmcXJGZf+olAQhEI6ghJOzlP7eMxTp5Be1iUhZCdjgTDmqDUY9uzniL2RfY+u3/TlUmVQzHZ/Z5XgAHDySSOYmZnCxNijAJtBIRAIfA7fky2xzcZP1NEhrnbFV8takoCb5YI7tZbEIK4E9198tR3rtwZGBdiM9KYp79a9LNMkBjvWJKEi1JDkSOlK1vZtSWkD8DZ2MzVQCEDM2z2LNM/9RXQxEeRbUcyUtTRaQwXuqSwZKb2JKvWmKQpAVFUEzrlx1obJUPHwJOZGBzMlyw6SqRZKSf6ZSyYhANz6s5LcVxdLyeHkMZed+3TmD0AUbTHvhqo+qwRIzAUIA2IdCgzpxmUxh+NW0NmzFO3V6pwCZE6Ad3b3NeNo6k+WLu79ztiujWXXJXAdAc+V8Sl5zVbTiq8MVuhrLrg1B0/BTSkDXOAHvyji8r9vx4YnA0VLDHATQ4ojVSrTjgzZ7BxhtbXOZsbTPOltLOtowixerXBpE8cHEdziIOtNR4dIykVl+Lhu46GfAMSmMVwIpUAiMb8RxZMTZVOntYFKnCk+nDmblssRAEgocNziEFe/fxKcA/95bx7IRYvi2dQ3Dmlmvv331ORlKeB1dCYXEvT1Bsfipf0zXOBPBub3NZ81wOPwAO/tH15XCM6YfLT5eLkZSknnORyuK+ze79RoGZIUnLft3NmY7mxsN3UkuH/4iwIu+1I7HkvAnbWYmN5KFQJL016WpuWEIlPIJyOprVaAJthNCpJBdosTyAI1OSjA5wS3uU4B3XT8JLZwIgwwy6eGfs+vhpVKdy6keYMIAnAqY8K5Ft1QB6NJGCvJOVEGQITAyKIIf/vBSQgQ3PGLosSlVmosG3gK8gbVegGMxx1BC8j1dccimbRRDAji4bxzzp5cumTRuj17x7Oh5dagc22sVHtQKLaPEUQXzhs4PoKI4bscnsfhu7KQvOemncx0a2wtxVPJbUrvFNQWuCmDcIC7Hgjw51/swGOjBrhNB46VPCxNR7bFpJWaZM2DNpDn4OFArlSfFcTEjpOXe87u2bQktrDXZy0qqfWEJCBP6kSaPByt3Jwb3NyMJ0qK6idRh5k0N6N1eFKDXMjms4w74MwFa1KMDEf4wqUTePXJdTiczRG3otLfVOpbgwNNThBygpDLOJaIAZFaDhlk5SpGEMWyhGAYxlj7yuOjRhhf2NVZHRvo751TcMwJcEID7N2zDX556fZy5zFbg0IFgRci8GJ4XgzfY/AUyD03troIu0lXMzPrPVP1lcp2IlSZAn+0LsAH/q4DG0cDmUtJs9TEjhBMsnMU7/YMpTLJtaTImAdTsLYom4BNOYixbIE2B/jQiiXMrLD0XmLuYVIMDWRTAU3mQMZ0ZpsIYUQaknQSiJwiQVlQm44gngG1ajjLhaMAb4Ccu2AhxYrhCH//vydw7ql1OIwZ+Zz6PbJyPIWQimedAw1O0GSyMlXI1TuDeicIY6AZA9MNjo6OKs44ZdXWNccu2r71yVEUC96c93VOgEtJ5GB8109Gfbfx3qHhRQj8GQVsDs9l8DwpyV2XGRLcbh/imvUCTWWSysApeMCd6wq49PMd2LgtgPDzwG1+lvEIfgstyQRQzZId32IHN8AqMUoMu7daR2z7dyqfDcRn0XwIVEXkcRNzuwlskZkELU4fLcFbLSbaqmJLdLMdSmuyMuNp/DhXTWe1hSULct6kWDEY4Yt/PoHXnFIDZTEQZcJrzZeQdUwiIUFe5wT1BOhAGBOEMUFTAz0GJuoMK0dWYXImfu+3v//zUddxDnp/3YPtMK93EM3GFPygbeeWJ8Q9U40NZ3aWp+F7EszaeWPnUsr1hJj2cKa8nCktcQOGbfso7n24iCv+sYKNoxrcOQplFtwECIiQHRiIdMWnycAiSRI2Y01oIrlbKcrBKsgmgM1QGAvJswL68Eh5i6QWurilztMkBtANnq14uaw3bzeUhZDnbK7TlYJlspbNxQnlyi4OAAxpKKC6lsQCYpxzxLByOMKX/mwCV/yjwH0PF7Btnw/4SjnQRQu5etRQAUEcxCrNLhZARAl8oYwFQtrAmQP4hGPloirOXbvqnvPPPmPnTK2OtnLpuQMcAIJCBRsevX8zcXq/3NN/wpnF+IcoFJT5CTotTQNcA5lb70TzcKLyKAOGjdtdfPa6Km75eRF7J7wccGc9lfng1pSkNdZE2M4cU3rTVumdeCpJGjDXQltM/p2lLMm+hwhoQ4m0wmaFdHIk8SiJRcV4kXQCaIXStJtbbn3VMEpaSlRrbdUxAkKFWwkuQ2spBTgHIbKsmg6tBWXqC8bJ0vQykqdZE1g1HOMrl43jlnuL+OzXq9j0TAAEsdJyVcQi4fIklNGAEwchIYgFQUiIpJu6WGco4LEYF60ZwcK+ypfvX3f/5tNOPe2QbvEhARwAli8ZhOt3rZs+sOvmzRsXvAXRBnS0FREz6RFL7N1ESm4twSVVYCBES3sGt8CxeYeHT/5DFTfdUUJDODmmQFNqzw3uNMYbSamKvKydNNvIBnzWbGjpkWqltY/5ymJZc/DDtKTkmgi1NUFk19ueS1262JLknCgApz0rzQqtUOGqXIe7KouK9jISDoByUEjLh9Ag19V8+GzXQSAioK+T4aLX1xB4An99TTu2bPeBgsHHBIfsbcIA5hhAlwVDYyFt9CIW6CpO4nVnDWHJshU39/YvW0f8iUO+r4cMcK80HzO1qdFS92v+a1d96i0dbBTd1QiyP7miHo4BcMIVmPSysnn7Alt2eLjiaxXcdGcJDeKk9bpJXtirY1lL/EMC9yxpaMgom0CGh89e1KeFVx9qGOGhAl1LbC2ZtRXFlOAaQALJLEqTk4lNQQgB1ZWvDBc64SmOiVBJvarkA6EK/DBMhgrkFl3RWQo5N0BDOGoQBB7DhefWAQFccW0VW3f6gKeluPpjhCKhQIImAk5QB4I4AONYOejjwlcXbzn1zNM/uHP/U9tGli458gAHAEHbQAn+bcXiFaeEY8ddVG/8EoWCrk+Smv1kyhdXZjOhpLkADYCndrn4xLUV3PijEprEBTzTxp3Np0xNgYFhLTkYuMks0pvm0BIYy7NuQ8aKYvJy5E+GbBRi7v1ESk/M2JRkWQNe2DQkXWdQEmEmRwBW9r1xDOl/EYnJUJZOSz2eFIDgMt9dF/lpBTk/+MSlQBzJokK/c14dIMBffaWK0V2e4uT6xzAq0RANcAYIXbSJY7B3CRYtPOfRp574xbYzXnnG4UD28ADeViBg9W37liwZef9kMOiJ+qa3g43BcxlcLwSjDCAcXB3YVdIFBAgFxUMPe7j2pjK+86MyQuIYZdWyimQ+uD0N7KTsQ57kFjkWExhtwzPKpSG9TUCn7nhTm7Rt2ub3jC/MMuxtOv2vBfBZia2VQ+N7CQc3J0YixUXLPknuplWK2a5FYlKXFMNSkgsB2VWY8oSHi4ySmV4XSTyocCTIPZfhd86tAxy45sYyfvl4gCZPK3C6gkisQHpVY+oidn2ACwz1VjG8cPCGkZUnX/3Ixu2HBe7Wu36Io7nvn+GXekrbN/3wtpK7eW1dTOLuB108+IQPxwWiCDhxeYhzTmuiv5OjwQiu/34JH/9aG8anXETETcqotfJtF7LMg8qEV+WNk9huaicO54E7SXFKJHerk6fFu0nlI95RgsRcr/fVMcl6WW939GeaLeOmj6t7ZMLYx4zOTFOy0jIbqS3fLL9h989Mi5naZfL0tkzyiX66Zeqzm/my1nYiQLJl9UhqLTPrR1qZWURZ0rQfhMRwHI6YAhPTDv7y2gr+7dYiGjFFXxfHOac1cOLyCGEkkxrWPRHg7nUVTPMuHLei/6fvecdrXrt91/7aJy75rcPG6mFJcD2C7j/Ejqfvq5GO3wt/ct9X8dWbHKx7ooyZCVc+PlmMUjHEmlUNXHnxNB7e4uLyayS4U4QcBNy5nNukJEa8SZ7kRj7tyOfgmRhv5CuSWVoym3g4LKmRR03UsjDpSEaqW7EnWonU0jtvmwq+oprCIOX5XJJ2gCrrX1ruFYQb5F3tILj6O7TlTskDJqXbdGKxjC1xwTGvneHKS6YgiMAjW1xceck01qwIUSwAnEl9a2qigfvWz+C793XiXW97Q0gJrb3nrWc/G6g+O4ADgPBXgnF+/z1bfvP0ex+7pzgThSBlBwCHiBqYagps3xbjgfUevnZLEeNTqq2xFb+diTOhduCUBndCSxLJnEo101pCkEdBhM2jFQJn9V6aQDcUyYSKkNRUaHLsXL59mM9HkbtO9x8z4kvQSlMSUBOTd6eJyTKJxpgESDm4tLgokKv7Is2QBJTwBMzyT1FQonhNUj5NKM5iXDoFOHfSq6Cq3FrM0Vlh+MCFNfzDrSUMDsWo+ECjVkAzLEAIAt9hOPskHxe85qS617Xw/tQG/wICfEFfByamGh/74LvOF/dvePrP7ntoa6Fa8hAzYDLmOO3YA7jiveM4eSTCxp0Otoz6aGYKYSbWElWzmyj7Z5ABt6OUS9NDOWtuJVKFcjY+bjt1DLBmlEvbSCBgZsybE8Nc0WpXOAg1zwG59cozORJDA9XcVZF1C9xIHT9Uf+YAl5WMZH1AZfumnKtubYpCQQGSKnu4oGniJCWQJD0pVgjh8LShUPZ0oVuLS7IfxsBdD/r41veK2LTZxRXvmcYJi31MzVQRM4piMIVSx6oGym/9YhyX/9LzD+7QmW0c3Nc5x7jqyr8RzsBJ91SKnlMAP73Cp5yBKsEJyxq4/KIxnHdyA6USAwXBzXeV0BRmCxGjdqCq2e1ToEBE0ifeVWXWTHqiC2bOWlfQyDpqAXYe2AkxJoQ5Oez1mqNLhZVY79Y29Qf095O+mcZnoPVJY62DvS2NnTEmIOxttrXHVJjVMoxOcMb65Gh2DIKlWAsjq0MQc4fMzDOEgyUfFFXRHH+GEXzmugo2bCpiy64yNu0qoaPchijsQr3ho606EFbaF1ztik2f8trOiJ8LRp+1BNej3XXC/qH5V3U5UTi2Y/qTnW0RXXuih2MXtaE+IxCUZsBiHX1EDVOQ2eksBbdH7TomrUUyZ5HKGVrSUhvbfGUoSNYQkv4wxk8obEBlvfNSyMsd0nV5gLGHyFuR5eQZ06D15Ej4tKIfMLm7lNraCpNQbWH3AOKQG3RlV21dkX3lhSzhQOXlUUEhqGyTDcohzFZqIK3RTQSyPAQAThmoICDgcF0C+C5QKOOhzUX8860UZ6xysWQw4NWewU/2egOf37t/prUOxGGOZ09u1Pj4pW/DiYtI/fVnr7r5Ta9bI45bxtHbBTSaAcLIAwSVhYJ0qkiGnhCagttXkttTxehdQ4pr60FSjN60QCSSV7SA2+LliQVkDkmof5QMNtPvEKT/Z35LglmBPNcwA64s23iymhj7Eou+6G12wBWsKESrbiFvrWGYtm43Q2h1oBVRHRzM6EK5jRmRh0wV85TBV0ZEohGgpd+FkJlugAPiePA9F/v2cfx6UxNe9QTRdE64ed2Gan1g2e8/V3g+dwkOAIsXD0M4/ZsWLihcHC+aupbP/Jh6bigz4rnApqc9xMJQKNU7oZpzG7SE2kV6LPMftR/j6XJadD/h4JnHvuXkgfHIzkh48/FtSnsbycZb/lM6n4znANucSKnwtov7kESBNJ8ohotef09kgG8UZ9JufwHp2aRUllWmap00fKSezeReqXgQrtt1EwIiOASlSnkVKplNJAqved1M82/V0pBzBy5hWD4Y4c4HGbhgqMUcO2sUFxy3hvcNLLn4+GOXb9q0ddeRgOZzl+AAsGzZKszv3BEOLTvl6wO9Ux/q7fUQ+NMIvAjj08A3f9iGGa5biWjuLTNxAqL6VCpw6/qBaTa8KheXUSwdai/P6p43lU/kc1srVDbz3gJqYsjwDE15vkZLSK0p8TOhs3J/W4q3htYSW6obEl1KZvnSEj39TBNpzpijwmeVBGdpckSyPZHs6YtzFwXq4A9eV0NnJQSiGI16E+X2duyu40NnrT3l6w9t2BOOjKw+IvfuiAAcAModI6DhKGvr+/0tha43TXl+F/ZNxvjEde3Y8GQZoL4CtwcQBw4lKBAgoCJDS9S7o6Q5tUs/WCUgkqKeWQ6eA2QLtCQjsWHRkhaBbdrJYe+jKbKtcxG0Lh0MxcZ7Tox4tsSwsL5KWr4KYdIZg9bAOE5LBr6R6dMCdDoL0A0wM2qso7I6VgJsVbmWuYhjD8cuAq549wF0lqfR313FH7/j1VN/fcmbtjy2dQc7bc3KIwXLI0NRkh/TaUOz0bjFr5x7iUPCL175/27t+satHHVRUJ2dvFSpVOD2FbhteqJiujMSucWuTWyQtlgUaB7HzhTyITCFsX09yMVs634tVoPsUQ4+svg2X2SWL2jbt/X39ATQkzUJX7GpilYuiSBpyTplc5dqoP6+pELp/U8/CyGL9DhGXRZHGHeCyBOQjWgpGJFGu1AAnufg986PQFwXM945+9/5G6deOjY+c0tX9dmbBPPGEQU4dXsAAFPT+68vtb/B7R7sunpk5R3zHnlqAiH3JRGGbp/dCm6XGty7JUk4U/XVAHNyLzPSuAXwhLSCsWW5tbtXOuzOYTbwyBxonGNkv2NYRyxzt7Wv5NfJ80OkTxHtGBJCvRMNbBjiPT2wgObZCv5C3yM5g6x7TIjq9UNg9j0VgoBqcAs7QCXt/CEbYcnTIKjPEEw1hvCu33rzXlE+8yMQ4fXHLOs/knAEcIQBrkelrQt7x6a+8Z63rKUd3uNX/uXXxuftmXBkprYnAe0boPY0FVHvCac27NkkC+gMnbCAndkvATdaeTgyx2sBGnJxbv6C+evzjpkzRGbZjCU3lUdzXWIunGW/hH8b/EmYMybhVMrmKFJpDgPo1n1N3nWrQtX8iqvYFUFTxVj9feIKMCZ/Q05lnUTPkbx9YoZiZ/OkvUt7fuNywdk3HL/r+YDic3P0zDX+9rNXYmjVkl82I29v1HDP6gwOFIvFJg5MuwgcgpKrciodAc+BLM3sGNxbFY9N3PMW6DOWkTzuDfMzsSaA6TBpde0T63j6s7abp98nynJjOn2IFYiVdfCQlmNkzhWzTFDr+0giTGdVmpG5NylUDbQq7i7S9Zqo6DaFqbKa5nXy5HtaMaUJz0/SjEwFXC06VCDwI2zbLbD5mSoq7Sv29/Z3XTY18fA3Oue96vmC4fMHcAD4wX98Dxdc8M5fr15Yefq3z2pc0FncHNzzcAWVgoOSIxJwu6aC6ShvpbacOGh1zdN8RTK/Mmy2eGa+BSUP3BawkIJar6fGOyUk9Wwm+80O8FmVYGT+PmY7VxO8sJxW6ZPD5G8m7rL8ihgWGBjgzpaEM8tMkKS2iQR5lmeln7WPoq1Ux5f/3cHm3a+YWjK0/BKKtn9bfsy780Jwjth4XiiKOf70rQ1eqLbdsGdnb7xl98pv+pgstPsufIOWuE5qRdHAtm3emWe9gLQB592ajMRq4eUwANAq1KzV1mFbADXHFw6FqmS4t8j5TGf7Xh7Xz9CYltNQtnGeQFGpncZ9FIkqCutAIrusv00gKYp65w4gHMX4LQuQtK4UA4JFC1c3tuya/55v3dV7k+NMzVm050iM5x3gxYE/xPdv+xp77drCTVPhMvamM8f/9amt2wq1SHYSSMCd0BMNcGJJZMuuC5UpTgwbcWZYHD3z+AbyQXzog8y6lhwKuNVocfQIW/qaNo/DPT+rP5t2Eqlow+SmKf6dcnHrK8Z5mSG2xJpBaf13XYNFJjCrEuNwKEfECMbGPQj3tMYrj+u5aGdUvvnEoVH2jje/9zn9CocynleKose3/vX7KPa9U3z9Zyc9/r7zak90d5E3bHx6vxdFFOVAwFOZa54DuKpFhac4uOukHFxTlBbA5lKT1s9ARqIjy3Xz6ANpWTaDq9Jlm47YNGV2igLknPssL+vaD/ZKro1klETjomHclMxzUvNxs1gQU90hGDOKB3ECpiaAJUKInGKBH2O6HmKseQKaWPXus149+u3FpSo/66x3vxDQe96dcNa4/Qf/Fxdc+gA+f9mxv/vAwzuuHd2ysz1wZYkCh0L2X3G1FCeJopS0uOAyON9sHMp5a+yGSTnMCYDsOqTrqQngLC83IgrNyEJK0uwcoiIIk0hEk4+bXJ3m/Q2DkpnZPjru3XBskew2Yq+TxxSWIq3Ncy1PNWObuR2wY1uSqliqHLPud6mPRSjgOlwaClRpP0cFZBUChlKlY6xn8UUHOnqO+SMWRz/t6fBfMMy9oAAHgM989Tos7uhBnUXvmpmpff7n6zZ079h9AIXAQcEjCFzA8whchyQcNOmMy2UDUFkMPW0oKubg4vrHRN6yWqB6f604wgBaIrVtgFtgtQBP8q0shwBwYgDdBrF+ihlgzqaoWSWghaIP6hIJYEoAW5qLXGoFaAGivJeCgDGAqR5NMU9DAygBXEfA9zgCnyPwGVwawfW70N5z7L4gKP75nd/6i39539XrCYshqqUXDnYvOMD12H9gHL7n/tFNt/7sqm//+13zwvok2ssOCgFF4BG4rgQLBMCYQMwEIibUMlSl/1SyZ6/Koh85V2rpiBalIZaJzZkN4Dr3MpHeGryHBnAT5HYcejq5zDCEJEWPpgAnplTXUptKgGdBa0pq87r1tjyQSyFCJbC5bEAWx2khTMbktKEE8FyBQiBQDDjKhSa6OosYWnbO3u75Z31U8Oi6tkrHUcHZ865kzja6OjtwYGLmuje//kziEHLlD35457yoMYnAc1AuOvA8B5RIaR3FHM1Q1WYSch0DWoMyAAvclqSaY9gWDO0FVJ+IAJnrCHNxecNekbVo6LdEgVYrtDKovZI6Q0duNuO4bRqWmEKRD1azW5t5EgQ68lDeiHylWNETpiq8xgTNkCCM5JOVUiDwCLjggGCotLVjaOlZe4cWr71cQFxH3Y4jCZ3DGkcN4ADQ2V7G1PTM199w/mlxtex84Sd3/7QzrE+gUnZRKsp+O2EEzNQZGGcywMfot2dxcChwKXCYSqbeZoaTApm5kbEgiDkmBsn9RGCmtOktJOdLlvc965HMdc3nxJzAvM6Ue6eKZnpBiY1bX7uQk1BPKIr0nhKCZBpRddOYsncnrUZignpT/i5hJC0oRV9O457uPixdffqBeYNrLgsZ+WYQlF8YMM0yjirAAaDSVkYYhdef9aqT9+8b27O0HIjP7tz2oNdRiUEdinqDYvteilqdJY9qQAI7VrwcgOLSdt8cy4KSAU3SazLnnISS4klSbw7SzaeE5VxJ/nb2UaKOLWyprQRncmrZjHjznFvxLazrzJanS79r9vQhyXVraa8thZSqdVSBHgIMVAoVpEqmEEC9IbBnX4RGyMEFR1uR4IQTT496urwPDy1es8X1ird63tyljV+IcdQBDgC+5/OtWzbfcv75b/CnD2ysLV/IrmEz9xKKGn1yh4eHNhbQaDgIPMB3KcKIyZrRkfyldKe3xFIF8wcnloSEEZifjesggNn8K0390ieqwZ4h+BY9QcbUCMz6JDAnGDH/LgGsOO7sY8E4ZlZ6a26eZOLDtmGbViddYJMIQ+ITzfVlkJSnjlNrOIgieaxKmcPzmnh0W4it2wk6qwX+5lNOEvOHlr3/1DWr/nn0mT3hsqXLjjasABzBePDnOpYsXYY27+lw/kD39QPzh0cWLl7w8YVDJfziiXE8sDFCM+TwPYr2ikxS3j0BTNYJGrFq9MWTmLkktkMX5UliyJVdGpA/Mje6emVfZmu+ZFIYwxbOWVAbOUFZq40aef0vs/VKLMeKYZZLnxJZS0xasCcpCqQArydLYsfWr4wlSiuurstRCBiq5Sb6umYgRIT9k0AzIij6HK9YPYljVozBb+/B8uWLPr548aKRjo551z/4yDMvGnADLxIJrkfHvGMAoF7bfc1G+CdeVRSuPzTc97HOx/c7rsNRLjlY2A+MLJvGzrtibNlWRV8bB4EMsdWlOfQPbnpEAWlDj4UsH6kpjlAURztldNVVK7nAoCkZxpFxAqXOHpgOnWRfNbk0TTHEd+Kp5fI6dL8dGPg2pb0sxaBLYKRNeR0nzV4HZOMmASjnDBDHqQ2bEunp05I/uR4qzX6BF6OrvYZN2+u4/UEHRYdisNdFewloNNuwetlCtr0++OnXrRm86oH1T7ILf/PMow2hlvGiArgepb6L0Rz7CkP3Rz7xu7+91+2o3POhDY/+OmgvNdDfVcOxy6ewP2zib75ZRRcjCFxhcWliSG/XIbqNJjiTkjliUupHTHUfA2Q8s7KYaDu4jom2BzGk52yBUyTjaGklKdkngtlD1ZLoYpbv5djRZRwPV8nZcgLIarEO4hiJBYQxLanlU48SQHACOAJJDRMinTbFoInv3Stw93qC4xeE6Kg4cIJOdAwc1zxl9emf+4OL5n2i96p/wec++q6jDZvc8aIEOAAEPR/A+PgkqMs+9sbXn0OPH1ly+iMP3U4H58en79w/5d5wVxUUqR3YfLTrH891qfKOSpu64AIcHFN1jkbEEaqKGw6VxdaFA+X4kADNUoYW/gsN5vRlgjsf2DZipZAmdsMEJb2Taq8a6MZXNdFKJLdqxOuqfqX6MyBbP8YxRRhRzNR10jHguQBA4RAO1zEkuPqbjFEI4eDCV0/hp49OgTvDcancdu8ZZ76RDy9ceC/n4mON+hQKxcrRhsus40ULcADo6EiafF4+NnoDFr12ZaXZ7P7Hu+4Xv7NjX0TbfYaSL6W0ECLhk1qCey5B4FMEPoXnUrgOUG2LsX1fjG37KYpeGofuOyLRISlkEVWaA6oW+mFRE9sBlJiXYfDq7KRJFDzVGFWXAjRBLtIse3Mk55CU1JCNeV1Xd8GT3e8CjyGKC9gx1o4oJjLAzSMoqHvlOAQ+Uh5PCMCYg5kGMD7pYeVgBe94/SCP+Ak3dlQ63/cfPx6d+sjFxx9teBzSeFED3Bw9C9+OJ0cfm+rsPO4DXfNHNp998qPHlsWBt+x6ZiuKBYLdExSNSP54EDKWxXMJCr6DUoGiVCAolwT6u2JUOsZx7X8WMD5TRkcAlD1thxOJBzFtfa1OwACsfBluebNqrPZqZgHO01J+SalirRQTVWAnKT6fKsqak2cpi61gav6dgjvwYxSCCOViAzONGm77ZSeefKqA3g7pSCsWHAihylMrax6lHAWfIWYMz+zxQYmDcvuxKLU7N7/v7ac+GpKFX6KiNrVg/sjRhsMhj5cMwAFg8cLVADC2acu2v/rcR1YuXP/YE9j+9IK3FMS9+Kf/nMaOHSUUPKlpyuAtioJPUS4SVMscndUYAz1NnHLMDMamJvDl7w4BxAeFarVCCFwqEquCLlxpqZWG1CQqqEpLbM37zdgSAEl9QM5UTDbnss6I0l6JCjcVJG0ypfmzfqcErRIchoKpSiC7DofnMQR+hGLQRFd1Ev/6XxTfvKuCFR0cLhFgjKvOHC58l4AF8kRdV6BcrGPjMzX86NfDeMfrTkL3/GU3VwaWXVqvz4z2dQ8dbQgc9nhJAVyP5UuHMbZv3+iaE0YuG+yvXN/T3v/BR/ZsPeuOyU2oNSZRLbvysetRFAsE5SJHtcxQLccI/BiBR/DOc2dwx0MT2PjMPJQcioBzO74lxwOUOnUMUOsAKypLPpuhvTqrXwggVkCNhYynYZwnJkhKpGXDUVFfUtEjYOrv8aRofWuEeGISJbB4uOcyVEpNPPF0hG/f2YVa6KERC0zVuVJGGVyHIvAdxLGcPQ5polAoYWTkRNCeNXcvGG7/0sDQ4l83oni04yUIbuAlCnAA6OnuBoDNERObHXrMo4uG3IEP/cnIP6xf//iyxzb82nGogO8RlAoCbSWOtlKMUiGC78UQAPq6ORZ017H+KY4mp9IralkvNJjkIMoVT2EGXJHU1u4YaXZJQJSkDwIAVdYLHVsTxyKxYFBKQAVRuY/yr+knRRImTDPOnxZripbkSDpMF/wIO/cLjI35IJDNVGtNAs8RySTwfaBZAAh10D98Kps/uGwzReOPTzxt7U4AG/MU5ZfSeMkCXA/PIQCwcfuu/RvjmL22sxos+I3zTr5x3f0/r9andpfLhWl0tMWolkIUgwieI+lILKAKuXMwQTO0JJWRLYLcMgNqR5LtUJKJGtIm7VKR9FviHBif4iq2RvF9hySpegIcrlJzCWQjKU5ScGuqkwl9l5YfE+S6O4PqcgdKwGPZYLUW6jJADJQIdHe1oW/+4MwrX3X6ZMFvXtjWMbidUmf0pQ5sPV7yANdjQX8XGOejwwt6np6cmj6mWKCvdCn/P9P7n4hp9EiXi6mKcvFkTHXpDzlLcKIBnlSBJFS2JXEckkrvJGFaZSm5Ar4r4HkcpUDGSa9/SmB8AigGMsHDdwHhyr/rQACCwgUHIxSE6bqASNLBkHD31kFariiNUeCKgtUjgli46Bvomlr7qhX7T12zyg18973z+hf9olgsTwDgLxdwAy8iV/2RGI7sEMGbjZkDAwP9t5XbKivu+OHtS1eteeenhxavWV8q9/2K054GaAUAB5eEQzl45Mj9aU0nDk0VS01JXIqk5IXj6PxSCe5CwFAtxRjum8ZA3x6MjtexbQyYrgs0I4GQaU4uVNw1R8w4GEt1AsbTJ0Ca95jjBDLeOSeIGZX8mnHMay9huK/aGB7q+9XZrzl1/Yf/1+99+pYbb1xarVRW9Pb23zY5OX2AEPKyAjfwMpLg5ujt7Qfk07zWmN4EQrzPhtT5bKH9JKfkVq5pK46tmJj81dpypen0VH0UnAjNKELBpS1TXobA6n9QibRackuzpOtKC0SiXCaeRYHA4ygVY7RX6piOplELfeyvldBR5kmiNVOOJl1zhAsB3apPN7fSQVIi2SeNDU8gKQgE5+A8BuMOas0qSqV2nHHaCFux4rifLu0rbtw/Pn3xjsmIlcsFfOrvPieWLl1YO9q/1/M5XpYAN0ehbTmQCrdYiD3vA/zOGe/Mzyxc8F/+vrGnWaWtuMYh/BX79u4Fj6bABEEEBy6lIJ6kImkILkkLEakiob4nKQkltq1b26YDT1pvXCcC5xzNGAhjnfaV2sy5AHgkc1ThSlrkUKEKXtrOIa4iA3Wj3TCKwRlDqVhAqToAh4oHa1H9oeVLFjpXffQtIXf6/gKicWD5UCcA4PMfPdq/zAszXvYAzw5CegHgAIA/BYB/+c6PQQjOqtXDC+q16QtFXFs5PlnHT9ZtgudH8NwIBBHCUDZVCjyaeEldxbt9V6Bc5CAEmJyhaIbSGlLwSRKd56hmuIAAU0XlIYRK96LwfYow4qg1hYzFLlA4jkBMOSgBmEPVsRjimKHeAESJoqvdQ08X4JVPAKFltLd7T7S1FW4ECW4HxN09g68FcOnRvu1HbfyPA3h2vOttrwaAu3fv2X83gHs4j5c+uX0/v/uR3fy4kc7Fq5f3fnTXzh2YaQCj23ai3phGpSQQeASEuGCMwHM5ejub4Kjj0a0FMFZCXzdBqUBU5KC0aABCRirqGHTIMhmFgov+bgomavjxL2OAOVjQI1AqUIQhw/R0E21lBwWfoKe/glKlF/smgKHBBSi5u67qrG59smfR6dRx+6jnO1sA3FYoPT+1/l5q4388wPXo6+0CgNv0531je+H7fsfuPbvvffyxAOMzPFq5YsWflQr0/EqJwHEYvnvbL9FGZ7Cg6KK3u46HtoR4aLODvkoDpcBDORCI4xhCRCAIIUQDPGyi2YhQb3JEsQCEC48ydLYxLF1Yx45pgl9tKMPzHfT1uFg06KLcdTIKgY/2NgfVsrijVq9/gRaIN7R4Nfr7zrs7DMPxjp7uo30LX5Tj/wN8ltHdMw8AxgF8DwCefmYnADxOwPs8j/AoDjEZPYGC34DnEfg+wa79jeicM8+7ouQ039jRhqijQtDbGaK7o45C+zS62DReeWo7hpd0YqBdYF4F6Gl3UCk7WNDreouGne93Pn7bFcTt8VzXQbnkYvGwj4Elx8D1AhQ8Sn2f7obAk6d0HflSwy/H8fKyCR3l8YPb7wFA+iYO7G0v+Vy0lQm62yN0VhvoqtYwNlnDN39UwdiBKvragM6yQFfVQTEg6OsOyNDgvAkhxO7hZWcc7Ut52Yz/BrWwo4wa6N2lAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjEyOjI0KzAwOjAw0I3uJAAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzoxMjoyNCswMDowMKHQVpgAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 62555000
{'hecke_orbit_code': 4503599660925399, 'n': 1, 'trace_an': 2}
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id: 62555001
{'hecke_orbit_code': 4503599660925399, 'n': 2, 'trace_an': -1}
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id: 62555002
{'hecke_orbit_code': 4503599660925399, 'n': 3, 'trace_an': 2}
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id: 62555003
{'hecke_orbit_code': 4503599660925399, 'n': 4, 'trace_an': -1}
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id: 62555004
{'hecke_orbit_code': 4503599660925399, 'n': 5, 'trace_an': -2}
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