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{'Nk2': 30976, 'analytic_conductor': 61.83615132527953, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [11, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7744, 1, [5567, 4357, 6657], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 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': [[3, [-3, 1]], [5, [1, 1]], [7, [0, 1]], [13, [6, 1]]], 'hecke_orbit': 36, 'hecke_orbit_code': 157625986991529536, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7744.2.a.bj', 'level': 7744, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 11], 'level_radical': 22, 'minimal_twist': '352.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+3q^{3}-q^{5}+6q^{9}-6q^{13}-3q^{15}+\\cdots', 'related_objects': ['EllipticCurve/Q/7744/bj'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7744.2.a', 'trace_display': [0, 3, -1, 0], 'trace_hash': 1675841019983140785, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.989', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [3], [0], [-1], [0], [0], [0], [6], [0], [0], [0], [-6], [0], [-3], [0], [4], [0], [-6], [0], [0], [0], [-3], [0], [-4], [0], [9], [0], [-4], [0], [9], [0], [0], [0], [0], [0], [-7], [0], [-18], [0], [2], [0], [-6], [0], [-6], [0], [-12], [0], [-7], [0], [12], [0], [-2], [0], [0], [0], [-18], [0], [9], [0], [8], [0], [0], [0], [6], [0], [-15], [0], [-9], [0], [3], [0], [6], [0], [-12], [0], [0], [0], [-6], [0], [9], [0], [6], [0], [-4], [0], [-12], [0], [-5], [0], [0], [0], [27], [0], [6], [0], [-3], [0], [0], [0]], 'ap': [[0], [3], [-1], [0], [0], [-6], [4], [-6], [-3], [-4], [9], [-7], [2], [-6], [-12], [-2], [9], [8], [-15], [3], [6], [-6], [6], [-5], [-3], [16], [0], [-12], [-6], [1], [-6], [-12], [5], [12], [-16], [-6], [-13], [12], [18], [10], [-15], [-3], [-21], [-4], [22], [0], [-12], [21], [-12], [-15], [4], [-6], [12], [21], [14], [24], [2], [-6], [-6], [-10], [0], [-22], [-6], [24], [-1], [23], [15], [-24], [-6], [-28], [-5], [-6], [-15], [-4], [-21], [21], [-5], [34], [-22], [-18], [0], [-6], [-12], [-11], [36], [9], [-17], [24], [-40], [15], [-15], [6], [-3], [24], [12], [42], [1], [-31], [30], [-6], [-36], [-16], [0], [-44], [12], [29], [36], [-20], [24], [-28], [-18], [-16], [22], [15], [-15], [-37], [21], [3], [17], [18], [23], [10], [-8], [-36], [33], [-40], [33], [-27], [-3], [48], [6], [-36], [3], [-6], [26], [22], [-2], [36], [-49], [-46], [-30], [22], [33], [18], [-21], [33], [46], [32], [-27], [-24], [14], [29], [-12], [6], [-12], [0], [30], [-22], [2], [-10], [-15], [40], [12], [15], [-23], [45], [0], [8], [54], [17], [-30], [14], [-54], [18], [51], [-47], [-48], [-23], [60], [-44], [-48], [-30], [-33], [-10], [-21], [14], [54], [-36], [-12], [-6], [21], [-12], [-15], [-38], [54], [23], [40], [9], [-58], [12], [-38], [-30], [-42], [36], [27], [-49], [-21], [-24], [4], [-60], [16], [29], [21], [60], [-12], [-17], [6], [-64], [-48], [5], [-18], [-54], [-19], [51], [-66], [-26], [-46], [-48], [6], [-18], [-9], [18], [-30], [28], [-51], [42], [57], [-46], [15], [-45], [51], [0], [24], [11], [-8], [48], [0], [36], [54], [54], [-24], [-44], [3], [6], [4], [24], [-30], [24], [-65], [56], [24], [-6], [-36], [-56], [70], [60], [29], [5], [-6], [-34], [-77], [-9], [66], [42], [-66], [-3], [63], [62], [34], [78], [6], [-69], [-30], [26], [72], [27], [30], [-28], [39], [-40], [59], [48], [44], [48], [-44], [-22], [-33], [-7], [0], [-30], [-4], [38], [-72], [36], [27], [27], [87], [51], [-24], [38], [-12], [-10], [74], [45], [-72], [-60], [-45], [-66], [-6], [-38], [-42], [-59], [-52], [27], [-26], [51], [75], [15], [-66], [28], [6], [-22], [0], [12], [36], [33], [-25], [-68], [-33], [12], [35], [43], [10], [-51], [-23], [-18], [-27], [-9], [54], [85], [-30], [-93], [-58], [-36], [-32], [-26], [27], [42], [58], [15], [46], [-4], [9], [60], [-69], [17], [62], [90], [-74], [-3], [96], [-96], [38], [-90], [3], [-12], [72], [2], [-38], [-96], [-22], [19], [-36], [-44], [-72], [-27], [-60], [-45], [-6], [-39], [-15], [5], [-27], [3], [45], [-30], [24], [-74], [72], [46], [-40], [-11], [48], [-50], [-16], [12], [18], [94], [-60], [-57], [82], [-52], [-84], [36], [0], [-41], [-12], [-63], [46], [-54], [-59], [-92], [-48], [-96], [-2], [61], [3], [16], [39], [0]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 157625986991529536, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '7744.2.a.bj', 'level': 7744, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [49, 55, 55, 50], 'Nk2': 30976, 'analytic_conductor': 61.83615132527953, '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': [7744, 1, [5567, 4357, 6657], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 985, 'dim': 209, 'eis_dim': 143, 'eis_new_dim': 18, 'hecke_cutter_primes': [3, 5, 7, 13], 'hecke_orbit_code': 33562176, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6], 'label': '7744.2.a', 'level': 7744, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 11], 'level_radical': 22, 'mf_dim': 1128, 'mf_new_dim': 227, 'num_forms': 101, 'plus_dim': 99, 'prim_orbit_index': 1, 'relative_dim': 209, 'sturm_bound': 2112, 'trace_bound': 13, 'trace_display': [0, 0, -2, 0], 'traces': [209, 0, 0, 0, -2, 0, 0, 0, 193, 0, 0, 0, -10, 0, 0, 0, 6, 0, 0, 0, -16, 0, 0, 0, 179, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, -2, 0, 0, 0, 26, 0, 0, 0, 157, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 12, 0, 0, 0, 32, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 153, 0, 0, 0, 28, 0, 0, 0, -6, 0, 0, 0, 32, 0, 0, 0, -10, 0, 0, 0, 46, 0, 0, 0, 32, 0, 0, 0, -26, 0, 0, 0, 6, 0, 0, 0, -34, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 32, 0, 0, 0, -12, 0, 0, 0, 30, 0, 0, 0, 140, 0, 0, 0, 12, 0, 0, 0, 62, 0, 0, 0, 46, 0, 0, 0, -42, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 107, 0, 0, 0, 70, 0, 0, 0, -20, 0, 0, 0, -2, 0, 0, 0, -4, 0, 0, 0, 16, 0, 0, 0, 22, 0, 0, 0, 78, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, 171, 0, 0, 0, -2, 0, 0, 0, 30, 0, 0, 0, -80, 0, 0, 0, -58, 0, 0, 0, 18, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, -66, 0, 0, 0, -56, 0, 0, 0, 6, 0, 0, 0, -28, 0, 0, 0, -130, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 78, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 44, 0, 0, 0, 100, 0, 0, 0, -18, 0, 0, 0, -122, 0, 0, 0, -96, 0, 0, 0, -118, 0, 0, 0, -32, 0, 0, 0, 54, 0, 0, 0, -58, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -90, 0, 0, 0, -62, 0, 0, 0, 76, 0, 0, 0, -47, 0, 0, 0, 28, 0, 0, 0, -26, 0, 0, 0, -98, 0, 0, 0, -68, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -178, 0, 0, 0, -32, 0, 0, 0, -6, 0, 0, 0, 6, 0, 0, 0, 10, 0, 0, 0, -18, 0, 0, 0, 112, 0, 0, 0, -32, 0, 0, 0, 30, 0, 0, 0, 90, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 32, 0, 0, 0, 65, 0, 0, 0, 12, 0, 0, 0, 22, 0, 0, 0, 272, 0, 0, 0, -34, 0, 0, 0, -122, 0, 0, 0, -68, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 378, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, -68, 0, 0, 0, 6, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 32, 0, 0, 0, -71, 0, 0, 0, 92, 0, 0, 0, -60, 0, 0, 0, -26, 0, 0, 0, -84, 0, 0, 0, 174, 0, 0, 0, 32, 0, 0, 0, 150, 0, 0, 0, 0, 0, 0, 0, 332, 0, 0, 0, 78, 0, 0, 0, 132, 0, 0, 0, -138, 0, 0, 0, -16, 0, 0, 0, 124, 0, 0, 0, -160, 0, 0, 0, 38, 0, 0, 0, -96, 0, 0, 0, -82, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -18, 0, 0, 0, 10, 0, 0, 0, -16, 0, 0, 0, 53, 0, 0, 0, -260, 0, 0, 0, 64, 0, 0, 0, 6, 0, 0, 0, 86, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -122, 0, 0, 0, -58, 0, 0, 0, 98, 0, 0, 0, -108, 0, 0, 0, -116, 0, 0, 0, 182, 0, 0, 0, -194, 0, 0, 0, -32, 0, 0, 0, 240, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, -10, 0, 0, 0, 108, 0, 0, 0, -2, 0, 0, 0, 96, 0, 0, 0, 48, 0, 0, 0, 32, 0, 0, 0, -214, 0, 0, 0, 73, 0, 0, 0, 70, 0, 0, 0, 0, 0, 0, 0, -300, 0, 0, 0, 92, 0, 0, 0, -28, 0, 0, 0, -32, 0, 0, 0, 30, 0, 0, 0, -82, 0, 0, 0, 124, 0, 0, 0, -10, 0, 0, 0, 206, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 48, 0, 0, 0, 72, 0, 0, 0, -122, 0, 0, 0, -134, 0, 0, 0, 336, 0, 0, 0, -2, 0, 0, 0, 96, 0, 0, 0, -96, 0, 0, 0, -194, 0, 0, 0, 0, 0, 0, 0, 214, 0, 0, 0, 86, 0, 0, 0, -172, 0, 0, 0, 59, 0, 0, 0, 114, 0, 0, 0, 32, 0, 0, 0, 302, 0, 0, 0, 46, 0, 0, 0, -176, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, -150, 0, 0, 0, 70, 0, 0, 0, -78, 0, 0, 0, 396, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 96, 0, 0, 0, 204, 0, 0, 0, -72, 0, 0, 0, 70, 0, 0, 0, 0, 0, 0, 0, 496, 0, 0, 0, -224, 0, 0, 0, 70, 0, 0, 0, 214, 0, 0, 0, 124, 0, 0, 0, -162, 0, 0, 0, -250, 0, 0, 0, 96, 0, 0, 0, -164, 0, 0, 0, 174, 0, 0, 0, 0, 0, 0, 0, -123, 0, 0, 0, -20, 0, 0, 0, -20, 0, 0, 0, 156, 0, 0, 0, -122, 0, 0, 0, -482, 0, 0, 0, -68, 0, 0, 0, 16, 0, 0, 0, -192, 0, 0, 0, 206, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1362619
{'conductor': 88, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '7744.2.a.bj', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '352.2.a.a', 'target_level': 352, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '88.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1362620
{'conductor': 88, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '7744.2.a.bj', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '352.2.a.f', 'target_level': 352, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '88.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1362621
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '7744.2.a.bj', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '704.2.a.a', 'target_level': 704, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1362622
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '7744.2.a.bj', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '704.2.a.k', 'target_level': 704, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1362623
{'conductor': 176, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '7744.2.a.bj', 'source_level': 7744, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2816.2.c.g', 'target_level': 2816, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '176.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1362624
{'conductor': 176, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '7744.2.a.bj', 'source_level': 7744, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2816.2.c.h', 'target_level': 2816, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '176.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1362625
{'conductor': 264, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '7744.2.a.bj', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3168.2.a.h', 'target_level': 3168, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '264.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 1362626
{'conductor': 264, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '7744.2.a.bj', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3168.2.a.i', 'target_level': 3168, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '264.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1362627
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '7744.2.a.bj', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3872.2.a.a', 'target_level': 3872, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1362628
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '7744.2.a.bj', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3872.2.a.m', 'target_level': 3872, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1362629
{'conductor': 132, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '7744.2.a.bj', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '6336.2.a.bs', 'target_level': 6336, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '132.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1362630
{'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '7744.2.a.bj', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '6336.2.a.bt', 'target_level': 6336, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1362631
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '7744.2.a.bj', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '7744.2.a.a', 'target_level': 7744, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1362632
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '7744.2.a.bj', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '7744.2.a.bj', 'target_level': 7744, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1362633
{'conductor': 440, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '7744.2.a.bj', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '8800.2.a.a', 'target_level': 8800, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '440.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1362634
{'conductor': 440, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '7744.2.a.bj', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '8800.2.a.bb', 'target_level': 8800, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '440.o', 'twisting_char_orbit': 15, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4560075
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 2}
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id: 4560076
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 3}
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id: 4560077
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 5}
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id: 4560078
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 7}
-
id: 4560079
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 11}
-
id: 4560080
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 13}
-
id: 4560081
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 17}
-
id: 4560082
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 19}
-
id: 4560083
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 23}
-
id: 4560084
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 29}
-
id: 4560085
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 31}
-
id: 4560086
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 37}
-
id: 4560087
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 41}
-
id: 4560088
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 43}
-
id: 4560089
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 47}
-
id: 4560090
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 53}
-
id: 4560091
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 59}
-
id: 4560092
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 61}
-
id: 4560093
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 67}
-
id: 4560094
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 71}
-
id: 4560095
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 73}
-
id: 4560096
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 79}
-
id: 4560097
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 83}
-
id: 4560098
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 89}
-
id: 4560099
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 157625986991529536, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 36, 'label': '7744.2.a.bj', 'level': 7744, 'portrait': 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jM3qZmdSFnt+HQGgmHistYXzE9oVtqak4uKwPWYn4btcxGbZ4ZsmgmZnwnZvtmwc15x+Q6Xmmpw7GSLh5/3ePKlhGdPxKSqy3e/ps07bjXU1AwvnZjk2FmHM+dTFjJwH1423HDlEj/3vjV2zE5w9vwk59cCVtsuK23JWiel09eEMZw5t8LC+fXLnz60/NoXT67uPnBq5Wu3vund0f1f+6NvNyT+XLe/8gzebq9jDL/45LNHXv3Pf+ML8vbrjt76E991zllen6M7qNHueay2PZbXHVbbgpV2ymo7ZmU9ZWEdjqwI5mbX+Vc/uMKr9tU5tTjN2fMNzi47LK4YFpYTTi+lnO8mTE4PefXVPW66DDxZw1c+i6sB55YdFlYF/RCSRBN4mkaQMjWRoIETCwmdHuza7NKohRgjQHj0Bpqd8yEr6w4YK0XWexAmYDCstiO2bXLpDhRCGYQOaQUuO7cMWe8LTpx1SLXDTEvSDAS+C0ki6IeShVXJuRXD4lqC7w/BTbj5ih63XimYa9VYWWtxatHn7DIsLicsriacWYUjK4ZXXrHMv/7BNeYnW5xcmGZhpcbSmsdyW7K6bo/fWidltadp9wUrA8HZtQEf/AdR8j23Tj0YbPph3Zi85EHP4Wc7A8HsdOvbDZOXvf2VBfjPfPBjaON6M/6X5abWbZ978IlTb/nmM2vI2iof+sdnuGZXwOLKFGudOqsdn5W2x2rbYbUDq+2UtU7MatuC/OiKZG5unV94/yLX7fFZWZ/mzPkmCyt+FnRpFldSFtZSelFCqBMu2dHnsotgdU1y+Y6Q171CEycKgeFPHw443w7YPh1y/Jyi12tyzcUp5zsJJ87Cvh2SQ2fh5ks12oT04wDfiWgFDg+9WKNei/FVQpQa0tThxssHHDnts29XzLGzsLzW4JqLUzrDIUcWFTumQ1Y7EV98sI4RijRNue3aPnt3GBbWXa7bO2TvVpckrtMf1Di3HLCwLFhaSzm/lrC4qjm5KljsRVy7b4V/83d6bJma4PTiJIsrNZbWLXOvtlPWOzFr3ZTVrmGtCwt9xVI74RUXL/IbP9mmGcxzbGEPTvPG8BWvvPnXNs9t/ufD8/+R2uZ/+O2GzAVvfyUB/qGPfJof+65r1P/xW/f+3zO1F3/i6OF26+Q51z/fERxtCy7ZvsS/+/FFrr2oxsLqFKvtOqttu8SudhzWurDWTlnrJKx2E5bbcGpN4NSG3HLlKu95XcSeTQ3Wey3Or9ZYWvVYbgtW21YirHU1nYGmExr6w4SZVszOzRoQ+K7h9HkXIX12bVLs2WrYuqnP4lrIM4eaXH+JoV5b4/nD0zQbEVHkMjOlGQzh8p1DPnHXJJfuSAhDw+yEJE4HNAOfF44PqbkNrt2X8OzRiMUVj20zPnu2wM75CKViTi+D5xqEMOzanDDVlHQHPr2+S6fvstpRrK7DSluz2k5ZbqcstGFlmLJzW4/33LbMLZc5BG6Lc8stltcCu/J1BGttzXrXgnu9Z1jpwUJXsriuedWlC/zSj69y0eYW55Yt459bVUxvaqbfcfPmX/jE1//Rv37NNZ9Nr3nV9327obPh9lcK4AdfeolaENTOnDm988GHn3330wfO/tvnD54m8BRKCHqRYKErOdlJuf6i8/zajy9zzUU1zq9NsbJeZ60TsNpxWes4rHWg3dWsdxPWugmrHcNiW3C2Z0D0eMdr2rz1VZqLtgREUZ21dsB6z6PdVaz1BN2+YBgaosSQpqCkwXeh5hsmW4ZN0zGOO+TIuYjnDvvopMFbboxw3HWe2D/B7i3wlUcTXnOVz/n2gMBRJGnM9BQksYvjJqys1Hn1dR2+8lCTPVvg8UMhLnXe/CpNIgY8dyTl2OkAR3psnnKYaghqvsDzBEpAoiGKDcMIun3Dek/T7WvW+5qVnmGQpuza3uetN7V5x60R6CYr6xOcX62xkpNBG9a7Ke1ewnoG7tU+nOsoljopr9y3yK/8+BKX76pxfmWK1XaD3tBFoFEyQnh7iNn5L5ozl//x9u3bTobhcHDJJZd+u6FU3P7KAPz0qUPMzc15hw8f/uEDBw795v0PPiXOLXXlIDSEsSFOYBBCOxQs9hRnuzGvuvg8v/JjK1x3ccDy+iQr6w3WOj7rXY+1rsN6V9DuGtq9lPVuQrunWesZzncF59qaqck+3/HKLjdflrBrs6JVc+l0A3xXAoookWgt0Ab6Q0BopppDDp0xaBNxx+MNwn6Ni7d53HJ1n1ivc++Tk1x7icuhhR7ttRY3Xd3nG0/4bJ427D9h+Adv77D/uM/macmdTypuuVyx2u9w9NQ01+6LuPe5AUlY5+YrPPbuGDJIenz9CQWp4Mhph1bdwRHQH9igOtX22CA1jqdp9wyNZsyOLSG3Xt7nO65PmGkELK5OsLJeY61jj81aR9DuQbub0O4ltHsp7b5htS9Z6AqWuwk3XrrEv/2xJa7ZE7C8Nslat06n5zMIHaJYEsaSbk/SDet6684rza5de39i796LP7q8vBxdccVfDZD/lQC4MZHUae9tR1/83MVnF90PPvzIk+5KW9Dta3qDhEGoGUTGJmlCaA8E5/uKs+2Emy8/zy/92BLX7/VY70ywtNak3QtY73qs9xzaXUW7D92eodNP6PRSegNNu29Y6gmWehCnIddcMmB+OqXXN3znTSG75zVJKnGkIYrhnmcCTp4P2DKV8PyRAHSdy7YrrrtU4wd9njjUZ2m5wZW7G7Qm13joWZcbLglY6a+zttZift7w6H7F335Dj8f2O2zf5LLca7O2Os11l/d56PmU6dokV17c43y7zaMvTlJzGrzyUsO+nUOQPZ45Jtg0HbO4FHPvMy7DWCElpNqwe0vEd9wU0e0ptk5prrsEoqieyTef9Z5Lp69o9ySdHnT6KZ1eSrdvHZP1vmF1IDnTEbQHIbfsW+Jf/+gar7zEXhztbp1O36Pbd+kPHZs8CwWdvmS1k7K8GnLNK26IVwfO//VjP/A3Dk80619s1F397cbWtz2TubLaY+H84AfvfOCBX7986tnplbMJEw2PVCuEkEgJSqUopVHCNhkIDFKkSOnw2Eub+dkPO7z9llXe+4ZV9myLWFhp4Xs1ar5H3Xdp1By6NUlz4DLRcOgPU3qDlM2hZhAaukOf1aWA06cMUaI5s5Dg+wYQeMrgSEF/oBC4JH2HV+wW7N1q2LmtT5h2+epjigOHp3jT9T7XXb7Gx79q8ESd3dv6PPuQYtukYrbVJ1A1otjlfBcagcP2zYKnD0Rct6/G665d5mNfGuC5Td54o8H1+3zz0YivPNLgxWM1LtpaZ/eWlLmpiD2zMVfttsfEUQYw1H2fuUmfKHbp9j2eP+TSGzr0B4reUNIbQG9o6PXtd+8OUnoDQ2dgWB/AUl+xuGaoT7T5ybcs8b23hFxzUYNzyy3avYBu36fbd+kNFf2h/Tf7A0G3b+gPNMMYvvKNR13RmPn1H+nVVmszb/zHJu19TKjG/74A73b7CMGP3nnXI7/06COfm977uja+N0ctyLSvFoCDEAIp0wzUAikMShqUTPGk5NlDczz1UoNDZ8/z9lt73HrFkMlmi9V2nUYnoDXw6PUdutnJHgwd+qHDMDQMI00UG+LYkKT2HiUeRoNUAtcRBJ5gsimYasL8rGb75j6zU22+9gTc95SL1BO86XqXV1zW5YEXY6Jhi1teIWgPBpxfaXDzPs3sZJ+a4zNMFEudGKUFr9jnUG+GPHkw4LXXTXDTNV2ePKjATHD9FR7v/+5VvvF0xJ2PNdh/MmDnnGJ+usZUs85EE2o+uI5BSdAG9h8TpKkgTgRRAmGM/Y5hyiDUDENNf6jph5reADohLPUk57sQ6iG3X7vK225t87feqEmSFgvLDTq9gO7Aozdw6WXHrz+U9IeC/sDQG6b0BylhtsKeWTrHl+748vTtr578f3bve40ThoMP+37tfz+A93vrKKXf/9STj/7SoRfv3/SqiyDVk1inQlPzBamWgEAIuxRLAUoKlNQoZXCUwVWamitY7tf45F3b+eZTHV5z1Trvu32dq/b0mJmss7Jepzvw6Q/cDNg2nT+MBGEsiRNBktil3tZu2aDScSDwoF7TTDdjtm3qk9Dj0JmYP7o34OipBpN+jRuucLj56g6PvtTmjodb3HhJwM4tfT5xl0AJn1YzZr0Xog0oAXOtPp2uh05qvO015/nkV+rsXQx46419oniFe5+bIU4DXnXFJt56Q4dLdrT55pN9nj1V55ljHtunJdMtQd0XeK69CKUAIQzagNaGOMku1tjGMMNIM4xgEEF3KFgLBatdEM6Qay9d533fsc5rrkiZadVY69Rpd2t0+z69oUtvYFeCfpgBeyjoh4bBMGUwTAuSkBImfZcv361ZPn/3phtu5Jduvvlms7yy9nuzM1P/ewC8e+o/sD7cRv/8539ovZN8cOnUkdldmzpMNOoMwgQA19EEnkBrwEjL4EIhpcjkisiWZ42rDL5jqDmCtaFipT3Fp+5p8MjzPW65Zp33vXGda/e2mUlrJIlPfxjQG7hZoKSIE0mSSlIt0EZk8sfge5p6kOB7EZ4bcmYl5EuPSw6f9jh2egqlffZu8bh8j+L6yzoof4nnjjTZNlnnyotgfm6N1U6Lq7ZJEm342mM+YV8y2Uh486uGfPHemJMLTS692OXc+pAXjrrs2DzFNXuWeODZLg+9IAgjj8v2THPZDp/Ltnc5cm6Vw2fgsQN1Dh1tUHcEviNp+IbABSltUGWMvViTFKIEolTQCwWdoaATQ6QTtBnyyks6vO87OrzmqpQt0z7D4QQr7YBuz6c39OgPnEKSDELBYCgZhLZvdBCmdmUYpgwj+7cA6h4M+4pHn1lm/7E7Nz3w1NkPKr+RQOvjxrRFb4hp1v7nhX7/UwH+T3/lQzS238XagRv/VjQ8+RuDlcXJ2aZP03MxCAwGKfKUu/1vhAAppWVupXCUwFEaR6W4jsBzNJ5r8F1D3UuZDATd0GWtM8Vn7mtx1zNDNk/1efdtbS7bMWQ46HHlHsOOeUUYu6SpItUSk4Nbalwn5cSi4diCYH2g+cIDdc4sT2Eil6lAsXXGYde8w0Xb4Mq9HbRc5kNfbLC6OsGNlzlcubfNN58RiMRl05SkUU/oxx7SSDAS5Xi0h4LFVcEVps5t13d58MkaW2c9brxymh/57mU++pUujx20ltzKepM9W2tcuqXPq/Z1+b7Xdjm7usoXHvBZ6fucOOdy5oyHqwRSSgQCbQyphlgb0kQzNRNz9RV9wjDmsh0h77wtZNOEYrrpE8cB55YC+gOPfmhXuUEBbGnBHQqGIXYlyMBtVwVDGJVOl9YQJ4bOEI4vrXP/Cw/Pbt42/2vffPiRfwG835jhff8zMfc/DeA/9/98kh9/y/eL9/+sfNdM/YXf/f6bnq5fur2O7zUYhB5JokhSSZwopDQIoRAiBzgoKTNwZ4+OwHVSPEfguZrANdRiQz0yTAQpUzVBP5J0owbHTjf4lT+cBp0gkoTrr+6zZz4iSUAbjTE2iSOFQCqB43ocPOmx/3BAI3BoepLZumBuRrJp2mHrnGLXlpRLd62TihX+42dbnDg5yY37XC7bnTJIujz8nM9kzWVmwjDZjKjXrBTSWtIeKlZ7hpV2SrtX49VXrvP4/j4HTiomWwGvumKSH3vbCv/5c/Dk4Qa9gWG967C42mJ+ts6mqSG7Zob803f1adXbPHsMDp6SuK5BKYMQGjD2fwaSBHbPp9xyVUIau8SJjzF1hpHLwrLHILQr2jBShXwbRIJhKBhGlrXDyGr5MNKEkWYYaftebBhGhmEMUSyINcQphKmgE0lWeppa64W5aHVtbrCwZ8+Tz/6D+8+89FGzbd8P/68D8H/5q59k2+ZJ9Ruf/8N3nD2z/PGPPrwePLu/wS9/oMPF22I6vTrD0COMHaLYwVFOFkQapDQopazmdmQGbIHnKkJXEkYaP0oJY0Mt1oSxJooMrQTCWBMmECWCYSwJU584DThwuMEzByA1Bgttq41dCZ6yNR9NH67cAq0aTDQkU03FzKTDpmnYOR+yZW6d2KzyHz87wZGjE1x3keKi7ZK929e4+4WExZUJrt8jmWppAm+AL32MEiSpRBhDkkas9QIWV1yuu6zGK/Z1eeDJgM1TgnrQ5Lp9mp98xwq/8TnNC2earPc0613F0prD7GSDqVaNqdYErXrMXCNm13URvpvgOglKpUhhl0CDvajiWHF+ySFOFHGiiGJFGGePkfW0w0gyjCRhJGyAGgnLzpE9rmGYVjS9IYytrh/GEMaCYSIYJtBPJJ0Y+oOYq3au8gs/ushNuxdZWnQ/dNH23xm43rbPnjn4sXTbpX/nrz/A/+vv/zEzE4E6dOr8O8+cOfuxAy8dD6ZbDb72hMT9iOHf/Oga+7ZF+F6d/tAnjFxcx7W2YAZ0VxlcpXAdg+tIPFfYk+AKQk/ZpEOkiWNDlNiTECeVewpJakhTTaqxeltTgFsIUBIcCa4LviMIfEHdlzTqiom6ZGpCsGk6Ydd8n2Zjnc8+GHHvc9OsL7e4eqdi1xaXS3YMScU6X3usTsN1mJtSNOtDnjsCLx51uGqHoR8qrrkk5uq9hoVzKUtrHoNhnbfc0OX+ZwccOqNo1CS+1+KqizT/+odWuOeFAV+8Z5aVjmHXppS1tsNkSzHRcGnWXRo1Q+BrfE/jOymOslJLZq2VxmATVlqQaEmSCpJEECeSKBHEsSSMrfMSxYIoNkQRhHFKFGuiCnGEcfUOw1gwjGEQC7qJpJdAN9LoeMg1O1b5+R9Z5o3XKZbWpljvHA+EV/v93lLz7/TCLZ++5xt/kt72xv+x6f3/4QDftknJYdh/b3d94beWzh0L5icUsmeITI0vPjJPHEm+/7Y273x9m+mJgN4gYBj6VmMrN9PaDq7r4EeKoZuxjSuJPEEUC3tyYkWcQBRL6yAkpe2XpJo0te5CajKnpND4IpNAVvZ4jsD3JIEvadQErbphsqnZPB0yN9UlMet86n7JR78yw6Yg4Oqdgp1bXHZv1ezassZnHzasrgZcNq+YakGzHrN4XHJ+zcfbY5lubkIyOQmHjhnWOpqF5YBLdge84fouX7ovYKYJvueh5CRX7RV84K3nceV5/vSBKV48E7C5E7NpMmGioWjWFPWapOY7+B74LjiOdZiksM5TAXLshZ1qSFNBkpIBHeLUECUQx6klhVgT5Y+xJoohTHJXJrMgE8EgEfRiQTcW9GLDMExo+R3e89Zl3vm6Hq+/xmG13aLbr9Hp11g8uRj0zcTv4kgH4fw3LM/89QT40Rf/BJ2aH3rymVO/trp8pjXVdIgTTSs2RFqQmjpfe3yeh5/3WVhb5h+8o8d0K2Lo1+j0AhwnxXVcPDfFi1Ii18GLFWEsiVybSreMIywTZayUJFYHpqmN7rW2AZfWJu/hzMBtAa6UwFEC17EACXyoB5pmLWGymTA3OWB2ap0HD0T8/h01Dh6bZPeEy9552D7vsX0zXLqzQz/p8Oj+FjXlMjelmGzCZDNkaiLB8xyEsBfXIPRY7cSs9w3tXsL5NY+d801uuuw8dzzW5+CZFnU/xlUeQkywd5viB964zCsvPc/v39Hk0ecnWek5bGolTNYT6oGkFih8V+C7Ete1sYpSZPahRbnB9rBqTQH0JNXZ6pZZi4kmSS24kxiixJT32Loyw8SSSj8R9BJBJ4HBIEUnA2ZqXX7i+1b4J+8d4LsBa+0mvUGNwdCjP/ToDgMOnzzVSlX4H7ftvNT7rd/73Ef/3vvf/tcP4CZdB6F+9MSLf/xLrjk+o6SLMVYK+I6h6WhiT2ImAtqDGX7tj132H1njba/tcdu1XTbPhnS7NQahjxe7+J5LGDn4sbX3Is8CPI4lUWKX3TjJPO2UzPojY26JNpTgtknKjLnBUTZh4rmGwNPUgoRmkDDVCtky22Gx3ec3v+DytcenWV1rcPGcYOcmwbZNHts3CfZsHeJ463zyXoejpxrs2yyZakomGilShpxZMviORAowRhDFDrs2dXiMlE5fsdYxLK7W2Lc94Ptua/Ppb3ocX/RxnRghXLRpECeS6/essetvdvjak30+8bVpnjjeYNuUYLaR0ghSAk/guwLPlbiOwFHYwFmKoibDYC8ybbBOS2oBn4M8Sa2ks2CHKLXuSJQnjxLBIKGQI4NIk/Qjts92eN31a3zPa/u85XqNos7qeoNBaGVnlChSLayBICWPPXtm5oZgxwd/6gPfp96+2P3w1s3Nvz4AX15fY7Xn/ki09vlf6rbv3HTXM5IjJ6dJYm2THcr6thNGI5C08eiEU3zybp97nu1y3WUd/ubttgpuZtJnMPQZhB6+6xIlLlHsFIFSkijiVJIkkjgVJIkkTQWpFqXW1oJClZjMmRH2c6gsWeS5Gt9LqfkJzVrI7GSPQTzgm88Z/ujuCR59fpIpz+WqbYYt05LNMx5b5yTbN0dctG2NZ48P+ML9c0woh7kJQashaNVj2v2Urzwc0PQMQlhgDUKHt90S8uVHbE1Mu6c5v+awfVOTt9/a49EDXfYf8mj4CUoKC3JdZxhZrf8Db2izb8t5PnlPh4denOTkWo35lmAiMNQ9TeBoPBccJVCSIklmidxCXWdSTetyhUsyoFuCgDgVxGkG7NQGkf1E0EuxMU8U0aj1ec+bVnnvGztcvy9l87RLv99kvRcQRh7D0COKHdJUIoWhWUu5am+I6y/zxUcf2rRrd/OXPvDeN+pBf+UjtfrMX22At9fXWVzu4Rj5g5/40/t/9ZN/+vBMt6dYWaszG6S0Avt7SoCroOYaW3YpBJ5UdN0Gpzs+Zx+p88hzPT59dZd3vmHAm28ZMj3pEYU+YeISxS5x4hBnQE9SazEmqSRNS4BrkzG3LhMLQpgsqLR1HI6j8dwU34up+RHN2oCUAd94UvKHd03y/LEJROyze8qwZdIwO6mYm/aYn5VsnYvZOd/h1FKX3/5igySssX27YLLp0GpAqx4j3IjOoMFk0yCE9ffjRDLtKxKd0I09uv2UtY7izFKNKy5q8uN/Y50P/jefE0sNHBVnF4ZDkgQMI8n8jM/1F3e4+qIeL5w4wx/dXeOOJyY5267R8BVNDxquwXMMrgJH2nS+EKPVdRow2l50qRakBpJUWP88FUSpTRINUsEghUFiSJIEHYfMBAPecvs67769y2uuSpioOURxg9V1nzCyNTFh7BBV2FsIqPsJzemIK/Ym3HjFMSZaf7Jp+bT81frMG5Je+/R/NaJFs/WXNz/xLxXgvf6ATbON73ngocf+851fu7O1fDYkNRNMuuA7mpxAHAXWwBIIYVO8ngRfCXrKo584nA8D/vSRBvc+3+dVd/b4h9/f5fKdHTZNKlp1hyj2iBKXJClBnuYA1xJtJMZYSTCSNBJ5ml/jOAm+l+CqiM4gZqkT8x8+G3Ds/BRP7p/EaI+ZmmDTrGF2QjDTUsxMumyekczPJGyb6zMzucbXntI88eIkV28XTDUlzbqkVdc0ahHCDfF9B0fZv28MpKlkEDoMhjGJFnQHmm7PsNpxWVhpcfOlPW66Yp1P3hlQW1U4MraANA5J6hHFtsdzdjLglXt7vPLiHo+97iwnliS/f8ck59frnF7x8ZSk4Qq8XIZJG3gWRJ5LFSyTJ0aQaIi1IExhmECkDaQJJDFShWydGnD1Lns+brg8pVVzSJIG7a5HGHvEsVMQUBQ7hIkiji35GGP/bBQr+oNJNk81CUN48rH7Z7btnfzPu/detxZHgy/8ZWLyLw3gz714kC1b5tVvf/gTF7/44kutZLDGzlmHONUYUy6TADp7boumBI40eNLgpYKaEgwcQd/xGaQuK1GNO56Y4MEXBzT8kL/znW22zyTs3jrg5iu7OELRrDsIYeWKzUrm2dAKc2MQ0qCE9cwNCciEF45JHj/g8KVHm7xwskmU1Gk6irmaYbphmKob64O3HKYnHGYmBfPTCVvnBmyZW+Pe50M+9KVNbJl0mGtBq6FoNQTNekLND3nwJcUwcnAbFlTGCKJEEjiKa/cNeOS5SVv4NEhZ77gsr/ssLk/x429d5PTyCo88PYcrARGjgSSxAAojSW/gMNUMmGw1uGlfn9dd3edvvn6JA6c0X3404NEDNV462iARDmGo6McKJWzpw2jgmeUEjCbRBqM1rkiZ8CICYm66rseeLUO2z8a8780hNU/SqLlEUZ121yOKXZJEZYSjMkdLEacluNPUrqZg46NB5EC2mrW7AzrD+1vt9XMX3/K6d6tzZw6nW7Zd/FcH4C/u38+2LZu8Rx597IcF6a+trq7QqLv4mZbTunDlsjoJC3KlDCo1OAnESuCkBj81BKmg7mQskroMUpd+GtDtpvzqJ6cwSczmuSFX7BwyM5HwzjcM2LkpIo5FprclVJibIiOqEVLwmXtqPHukgXAcTpytc2axTlBTTPiCyYahFWhaATRrgom6otVUTDUdZiZhdjJh88yQbZs6pGadz9zfYtBrcMl2Q6uuaNYlzZqmGSS4bsTXHgkI+xJ3E8js+8eJpFFTvOVVA+57StMLJb1BSqfvsN51WFipc/meJu98TYcnX6hzYrWJkhqIM73sEqfWTRpGkt7Qod3zaNbqNGohl28fcuOlQ06db3P83DqOm/LMUYdP311HKGXBPT5/0GhAgzHEUcquzQnvfsOA2VbKpbsMm2cgTVzCqEmSuKx1XJJYEaflChrH2WNS1vgkmQGQx0RZghVjMl8+0/jDlRUmZ/b82gvPP9Gfntvz0ZdeOhDt23fZXw2Anzt7mrXV5X2nTp36zeeffVI266qIyG10boMaravROzhakEhDosBJDW5qNaCvDUFq7JfXhigVhFoSppJIu8Qalnot7n5WY0j5/KN2ZANGZ/c8i5dZZEJkqX+JVIokdpDawXUkTR/2zBkarqbua+o+1H1BoyZp1qwcmmhKplowM5EwNxWyda5Lyhr/4U8CHnhuE3tnYKqesXdd0qwl1GsRjfqAWq2OryRKZhqcrF4jdhkOBIMwpRsqekNNd6Bty1zD4/TiBK++IuQn37XIr3/a4eS6jxAaY2J0aogTlyiWDENbxtocODQCj3otoO7XCfyYZi3i+ksiPDfmhksS3nd7H0clWRJII4QZFeUmB55ECInvKsBjGDqsrDm2bifNY57snsgiBooTSZoBO04zYKclwHWWZDMaUiMKLz7OvPgHH3pCXnmN+s3N64P7o3D4/F8GNv9fA/zxh/6EqUlTO3T44DtOHD0qJpqOrUeONUmiiTP7KdWmErELUmVfp+lo9J7mEX0qSLQpf6atPrR3QaQliZGk2iHWPml24VRvRZZSgCOEzVQqCGqGwDEEKsV3wXcg8Aw1X1DzJPWapB44FuANwWRTM91KmJkM2TTdY+umFT70Jc0n7tjMjknFbFPTaiiadUWjDvVaSrMWc25Fc+ScT+DZ8lvIVzDBMHLYM6+Znx3SGXoMhiZjccl616FZC2jWJ3nf7ec5em6B3/3CNhzpYNCkOiXRhjhxCCPFILJFUf1AUh861HyXmp/S7toYw3NTXCfFdVMcaRslbH29yYLurG7FHrGCXds6q7LUNq5JU4nWkkSX8U6SikqAnz8XldcZe2fBaxXoNl8hMhsSBgPDw488JbbvbL9jy9ZdRz7yXz81+JEffNe3F+CrHc9bWVv5mWFv4Wd8ZyAnGopBaC2qOJG4qSZJLMBLoJvCo04VOPnzPPlQ/C6VuykPUFYpZ1cDUQRKVc0Npc6XAhypcSRZDTm4SuA6xvrGjiDwJYEnqfmKWqBo1iTNumGikTLZTJhuhcxO9dm5eYVHXwr55D1bmQp8Njc1rbqw4K5JGoGmESQ06yGPHoRnDtS5eM5kurdMmw9CxQ2XGi7ZOeCx5yeL+urewMlA7lIPatSCSd7z2lWeeek8j+yfB6PQOrXlsIkhiU1RTzIIHepDQy1QBJ7G91x8L8V3dJY0syXGSumizkcKA8LWcua0UAbntoRY546UzqVGxYrNgaxzMGc/Synez8GdOzTF6ywhF2cZ0mFo6A26MtJn/++Z6Za3Za71C0D0bQP4YDCQYTj8+Tu/8of/uLNyzgs8D2NMmR2MbXYxUXm6PAN3BvRU5Yyesbo2GdBFJfuIZecM5LnUyZMVxhgqmfeRFTdPVecJHSWzjKUCtyjastk/31MEvqLmC+o1QbNmaNVTJhoJk82QmYkBW+fWeOTggJ//2GZOnp7kolnNZB1aNUWjpmgE0AhSakGM5w5pDw1KKlxlkLL8ZKkW2ZLu0arF9BNNP6uz7g9Tun1Ju6aod30Cv8nu+Zh//cNt/uXHJQ/v34xBoY0mTTVJmhAlmihWDCPFwJfUQkXgSXzP4HsK39G4rvX7HWWyOp+skC2TKUKY0QbdLLVvMhIxWS1LmgE+1eWjPWeyAl5RnMcqcydpRmTZqh2n9iK15QCGMEqJEzh16qy3dX7y//qu73yTO+j3/0WtXv8Lp/P/wgA3yTrGDH/hxMFv/iOio0EQSJJEAzIL6GySQSlRFPeULK6LDFrJ6GYDsHXh0YLRxnaRZyWg1TtjAM/LbItS27wTSFm7zMla0VxH4nsSz1UEvh3JUPMNjUDTrKe06jETzYjp1oCtc+s8cqDPv/zoLAdPTrNr2joszZqkUZeWvWuGepBSD2LiNOIP7mwilcKVBiVKm1CbfCl3+YE3rfH1JyK6kU8/A3hvoOj2FG3fIfB8fLfFpTsS/u37V/i5jwoeen4z2khSbdPqcWILzcJIEwa23NX3BYEr8D2b2fQcU2RsHaWRynrjMrNpC4CXKU8gIxFsLsG6LVkgn4E2zaYO6CKQpAJqivd0mpcGlCUUxWdPjC3oykpwNZLHnj4StD53z//xjr/xHWJhqfuz83N/sUznXxjgx07sB/RNuv/N2vz0kM4goD90MjaQZbZQCuIUHCmyq7gC5LQiVzKgF8GoLtuvLNCFraPIQZ0f+LHPlQM8r8HIM3k5eztOXncicV1p6zc8QeDbmSd1P6VRs+BuNSImWwPmJts8eqDPz39kmhdOzLJ9SjDTqEiTwKER2PqVWpBQ8yNcN+TMyhSusi121pYrg8w0lSSJYsuUIUliOnHAIDQMQ81gmNIdSmp9ReC5eG6A60xw2faEf/sjS/yz34NHXtxEqqUFSWqIkzRjck3oa4JIMvRUIcFcF1zHSjRbp2JwJJlMAZE9XgDjVq6QJYUQRXJIZ8mhPFtcEpMYlZdpuQLnJQFFWUAO8EgXteWD0LDaizjzpcdr11274yap/uIdQH8hgH/wQ1/ljsca9fse+bD3T773KHMzk7Ca12bmvyWzOgiDSgSJslevKiLqXIdfCNi5DDEF0E0uR/LnL/PZpCiLqKTMVxKRpa3LenIrTyBwwfc0tcBQ861+rtdiWvWIycaA2ak2Txwa8nMfnuK5E3NsnVTMNTQTNUEzkNQDRb0mqAX24rCp/ohH9gt6Q49AkV1kVoPnTQipFsSJQyNQ3Hxll0dfaNGPy3aw/kDR9RW+p/BcL9PPk1y+Q/PLP3aen/4deGj/JmItibXOmqXLHszQk/ietuyd1aa42cVt72QypZRxMsvyXgjkeVLI5ADPAJ8WzktZwFVdeXU6tkrnzloeQySaKO8dzcDdHggWu5KmOUt/8be9N77+R+trpz/Vn9r+3x9w/ncD/OTx4+zYtX3y3/7GZ3/7/med114+n/K+N/apB35WG2Ijb5u1EohcqqSWRbWy+ktny5h2RMnSVdauAFoXwC6bgsm0d3EyhC0oEjIDd1ZkpAqAW7nkOpbJPBfbCeRlBVZ+Si2TF81ayERzwFSzw9OHQ37uw1M8c3wT85MOc3XNRA0agaBRU9RrinrB3imBn9CsD7n3GY/1dsDUVJkmzwGjM20ap4pNM4rbX9Hj3se17aKJdAXkksCVBK6D63g4Tg0pNZfvMPzSj53np3/H8NDBTcTaJtSixGRlr5bJ/VgW1YWeI3GcrAhLCpSTHxuKz5dfhLlUEXlVGmVCaPyuK4+FDZyfy+w8ptqg87irCvLUFDo8r1gMY+hFgnZs+N4bz3PljonXnjpx6PfcuR/4u2dOn17ftn37/1iAv3D4LIdPLv/02RNH3ruy0GWl7+O5cdYnaWs73FRmbWCysOlUlsjJ/e9UVQ9GBvYsOZOz90ggOc7cGdLzjFyhvWVeQVfq7rxi0FHY+gzH4Lq2sTjwNIGXUgsS6kFMIwhp1odMT7R58qWQn/mdWZ4+uplNky6b6ikTdZOBO2PvQFLzLfsHfkLdj0h0SDfyEUri5gxeaHCRnfSsQCx2aXhDWy4QBUzlIB+m9D3L4L4nbU28k29Aa7hqt+GDf3eR//O3NA8d2EysHcJUEKVZwBYLgljjuwbPtb2rThZ3OMqaAErK7PhkXfn5Y6Uwq7gwq7HOGLgLEqoQk629B53aEuXcJi7jMIo8SdmUQmYHC9I0ZbYF/W7IYu/se3fXnzii0/if/Q9l8CPHTnLR7u27/n8//7tXHz5+ju3TDk3PZxhZs99gT6SjNNpIQCOFtDIlFaTSAns0iLTgzjOc5QETFaYos5KmumbmrF0NKvPlNuvQUVkw5ThZZ1BWhJRXDwZumunmmFoQMtXqM9Ho8sj+hJ/90CxPHd3M3ITDXC1lIjA0M3DXAmsn5uCu+SmBl9BqROw/brjnyQaelLhKZ0FcqSPz5TtOFYl2uO36mIsv6nHkZI25OrbHMeuB7A8zFnYUjuMWrXxCGK7cBb/8gWX+2e9o7n9hjmFcs8mwxFDPGNF3sSB38tVLF72tUqXFCqekqABcVEDOBr1SgtyMArwC7vy9jWxO6ZalxuY6UgrTQQiySQnQ6zdZadcZDs/SOf/Q1Xtf8RO72qunT0xM//lZ/M8N8HPnzjE52dr9wIOP/PvArH9P0x1y1S6Plprl9EKM1oo0FVmlnrWk7GQqjSyAbaynmposGi9ZfBzUVXbYwCCWWzIGHwO3MEiV24IWDI7KWNsxeI7GdTW+q/G9hMBLCPyIehAyPdFnrdvnvufhl/9wnmcPzzKbgXuyZmjWBI1AFF65dV60ZW/PArzmh0RpynAQECh7kUlRWfop09Q20HSslndCq0FjUQG4xvNSPNfBdSWOUijpFgBHwDV7BL/8d9f41f+W8NCBGc62WwwbksnU0EwMQTZxwHdN5v3nToop2DuXKjnAi8+bfegqzguFmJ2UcmU1ZfBZBXtVslTt3hzYlWDUAEoYmr7hIlfQ787y4jEPQcpQR9+T+o+lu/Zc9X+cX1w4vmnz/F8uwE+cPEVtKbjx0KFD71hbOsGebXXLZJ7H4mpEPUhsFJ4DDBBCF1q49E5NRXeLbGnLEzamkCEXAve4KsxPgh33kLO3yeSJqQwHyqSTo7MxE2kBbt/LwD3dY2ltwC/9QZ0vPDzHcm+KuQnJXJCBO7C6u54FljVfUvdNxuBWewd+BETc9bTHWuwx4zNSj40YXaHS1DY/tHyHN1zX55GDEd3YZyLOOtYjjRfaWnXPsQB3lEFJFyFtggYDl+2Q/Po/7PDlRwb8wkc2c3p5isGkw6QnaCaaegJ+bEcve8oONHLzQFOKIgjOH6uBevXCFKLoFSlZvDhXFbBX3K78nKaFaUCRpMu7rPIVHezxchXUfEE4cNh/3LpUJ86dJJGH3uF4jT8Ih4Pjf6kMPhgMCILgkiefePSnFs68xNbNgU2KeNb3NUagU4l0tI3Es6BFa4OqJAd03oCQZx91JZEwornFKGtXZUl2oHNmydPNuQugcoArgyMtsB1lwe06qW1/cxMCL8b3Ypq1AY7T595nUn7vKy2+9MAmIt1iU0swG1hZYi3A3CdX2V1kzF1l7xjHCXnwxUn6kcOWev55xhk8jzvsmIzAVdx0+YBEW4APYsEwd0MiO3LNdXKLU2VAtNlHCzbB7KTgva/v0fTP8pGvDLjvxRkW4hr9QNJKDA3HWJA7WRyiTBaXmAzk+TEUZe24BEnJ4tUdBaunpGBzRlfeUaCXQaipsPnI+9nfkFlp8SBMWVo1dH2FI+GxJ15g85aLfuqmm25+qt/vH6rX6//vAW6ig7zwwjdpNJpbh+0jr5ttrkHLQ4gUz7GBmuvY4h2bNDDll5U23evkWruSJMiDreKRUmuXwK5YD1X7SpgxaZJn5WzFoE0w6azmOwO3srUYvhvjeTGBG1GvD/G8Pn94h8Ov/NdNHFmaxvUD5puCaT+l5RsaPjSyDvuab7OdQZYQsvUrabYSWHmy3EnpRR6eUnjSFAEmla+SX+B57UaUuNTcIfOTA9b7TQaxKEYzeK7GddPM5lOZ3ZnPjqkGrrby8Xte0+OGK5b45d8f8omvzbGaNOj7Lg1X0nJsDY7vgKcomiGcPOmTrXyykCplAqhKKqNi5UJszgXAXpEpGwLU8p8TArSwWc7+0CYE+0ONFHByYYnmg8+/7txSuLXTbh965LkT3HT1rv+XADcpV177it29pRc/tHLyMbZtst3XRlunImdIx9FFhJ9n7KplkaZgbFEkC0qQZ/5qAe5KqWvlJjAlm2TZN1kFuDQoqZEjzJ1mIE/wHCtJfC/EdwccX0z43S83+Nz9MxxdnKJVd5kOYMpPafomS73n4JYZuGWRFAoy7e179sJpNUI++6DDoRM1gmwCV9EuRonyYoyDsTo8Thwu2wXffUOX3/vqDL26Qyu2Q3X8KIsblMZxZDa2jgrI3crJsqvCzlnJz/7tPlfvOc3vfGmaowsTrCY1+q5DQwnqGdA9aeyFk7lMxeqXH9fcPsTq8zLTaTb65PlKm5dOGCrENWYp5jFX5Wf5sZHCjFwQduahxUM/hM/ftZ8P7L78Qze9+tbvXF3r/JlS5VsCvNdPEJ5i4fT926P2U3tbwVmiiVnCSNvaXlGVBZlUyEsw8+q0TILkj3naN29IqF4IxXJXsEJO22ZEB+bAzv+ezAcEZUM5bTtaXmCU2M4dJ8H3QzwnpJtG/OanPD7y5XnOrEyiVY3pCcW0Z5jwNPWMuetF+l5mdSqZNMm88wLcns1ehnHEodM+vchnys9cnDzplLsSeRbWVGpSYodWw2HP9gjlD+lGTQaeoJYlP7xMXrmZRHFy1yOf/lUALA9eFXMTfX78e/q847YFPvLlDr/7mRmWBw0GTkDgKOqOoKYMfmIsm8u8+aQsb8iznBuYnFG5UoD7Qmy+AeCiaHwostKUi7QQAplNx1L5KoW1HMNYcWy5zcNP79+7ZVOw/c2veeVxY+LRi/y/B+CD7nmSuDkXxa1PHTr4krttU0AtiHAd22NXfihTBJj5Aa/KjBFQ5++N2H+iAPSFM5SmYgeWF9KIPJFZlZxKLcCdFEeleG5M4EV4bkR7GPHgs5I/vKPFZ+6fYZg28TyPGU8w6WkanqHuG+peCe7Al/i+xM+kiU0MZc5EBnDPtZnPY+cM9z1RJ4pd/IbZEGDmtyLNnZWiRrHCdR1uv6HLJ7/R4+DpBoPAjmYIXYOXgBtr3EijlJ3TaGWELIf7UIIn1ZJES+q+w+bJAf/ne/pcvjPkE3c0eXz/BEuDBkPl4boOgSOoSfDzAUu5vSqNNQgEFZCP1qyMF2dVGb0grQqQR5i98noE4FSlZ5lkyqsR64HH88885/7I9974qV53/RXr7d7SX5jBZzf5cu38/hvXzt47MdWIMFrguzGuk2TglNknqwR/xTcVlau4ytaiKKzPQV5AuMLgI4U/tkfHXkBFSlkX5Z5WdxsclWbTZ9NCjjhOTLsX88Dzgo99tcUdT06w2m4iawHNmmLSNbQ8Td011D1DzSNjbcvcNV8SeIrAEwQeWYWezsCt8V2rv5UT8tJpONMObGIl07ejiZOyfsb2QWb1OVoSRQ6bW4JLdgx47mRCP3YJsxnfXkQ23SufrJsnakCOdebkF09uQ8aprQ9/9+0D3vyqNb75VJePf63F4/tbrHTrtKVHz3PwlMCTAj/rj3WkwRF5XJPVFYms7JeNDL6hfiX7v3Em11VcVFfsigYfP//5RZFqgSPg/FLIR//oronv+e7X33jVVfu+yrcYHvQtAZ4OTvk1f/BbU8HTjVj2UVl0qwuAyhFQVq9mM8bKVoKIEb1d/Kz478aPWlWaGKoF+laW6Exza5RM7UD83M2QMUvdhHufcPjKA02+cN8E5zsNRBDgNl1aDky4tpOn5pLJDqh5IrvLrOQ0092ewM/ZOwe4k+B5CYEXYUzMXU/6nDhXY3Za4Eqd6VhRNvpWj89IualiELrs2iy4/bo+n3s4ohe7DGJB4Bq8xLJ4GJvKKqUKvxohR2RKfm6KRgVt/faaH/Lu1w/4jhtW+Pz9Xb78QJ17n21yvl1nIDwGnoPjKhwhcKXAlRJXmExqGRSiIg1H7cOxr1fBwSjIxwGui889rucz9s/uabY6CQEqdvj6Y6cab3hj8luHj52+HBj8hQCu5H0op8O2TYcJwxphrLKEjsx0dXYwCzDnTDzG1vl7+QkoWNxepqZqk2RHproMigqwrbduJYnIAO44KZ4TEwQxwzDl4Bk4flbxR3dO8NXHW5xfa4Ab4LRc6krSdO3goZprqLkQuBbcgWtnEtoyU1m5i+znJgO5LkDuubY97chZzXPHfHDdbJk3lRS9GEFBdam2zQGCJLXjnK/aE3LF9h4HztQZBIJ6IvBjQ6jIrD2dsXfupuQWZKlVCp89syK1Vtn0AZdh5FKrhfzQW0LedvM6X3+ixx9/o87xswEHztSJ1n0S32HoOEglbTofcLLHnMkL6UIZ/FdI94IMXtSXUzpn2oyuahtYn9x5sVOATTbApXNujT+98ykmJr/1FikvC/CDx46J50/0fuqe+z44q0OHGy4Oue6SFCElSkmSWBFF5WztXIZQPM/AW/1Z5crMtXl52ZaHJpc6peazSQ0rSbQd/SBTfN9OUk3SlIUVuPNuhyOna9zzaI0zazWOnG2A76PqDoGjaDiGhqOti+DawfmBa8e1WRDnd5ndVQZwMs2dgdtN8V3L3vbCiji2BPuP13HlqD1YSBTKevBCh+ZOis76GhOXK3YNuGRTn+ePJvQTl2YsCB3wskIkVQG4lAIh5QiTQ2nDlXU+ef151hScuoSuR6sW8QNvCnnN1R3OrHW46zGPo6d8vv5knbMrAenARUuH2FMIKe1KkXXlS7KMJxSyparLqyxeZWlducDtezmMKRwY+8O8bkNjZzJrhBOjZMyr9g141cU9ds3fM/v+H/wnP/WL//DwB5utiy8Yvr0swP/LH95PnKTv/fQX3UZvsIM9WwZcubvPbdcPuWJ3zJapmL27DMpIklhm49HycQ1yFOAmq4WuvDfG1SOHpYzYS9YupIhKcf2UODUcPSV47qjizkfrPH/M48VjNTqhHTyD66FaLr4S1BXUHU2t4gP7Tl6nkZfN2rpwP5MlnqfwPJldAKbU3m5qM4uu1fmBF2N0xOKqJDQ+jiPxpMGp2GxjBF6APDWj/Y5R4iJwmJuOkGpIL3bpO8I6HXFZMOYoPZKBlLlJDZAPO0JgtCyZvDIYyU1VMX6iH3rMT0Xs3Bxz/UUhg2jA3znW5vnjHnc+EvDcsYCjJwPiRIGvMFKBkKSykg0q6PsCddvVxbmg9RzdBdxLUOsM1FhQO6Ts3R2ybSrmst0Rt1035Mrdmp2bBVFyruEOv/neJHQ++N/F4H/8ma+ysNxVX7j7BREldXq6xjPHGzx3dMgdj4VMuBE7t4VctS/iTTcMef21McbYLFmtQaalrWOfxLIiS3LNLTf+UWMBTTa/xHUMCI2Qhjgy9IeW0Y+flvy3O3z6seLpFwMOn/JZ7nmEqQeOB8pFtRSeFNQU1JUhUNhxZiorPFKWtT1X2KRHFdyuxMtkie+B75G5JjZl7joaz02yjGhMLYg4v5Zy50NN2l2fqQmBk3nxedHXBc97dh6LgFBLwlAxO6N4881Dvv74gJPtBgNXWpnigJsY3Dj3rDOPXabWLqQ660SWjGmcyt+wQPdSReooEjcb+xC71kp1YxpezGuuSrjp8pC3v27IS6ckz+x3GUSKT9xZ59iCC0LSHzikkcrLNzFODvAxy2hkca6C2T6KxCC0sRxuNLV6iuvZCQm33xLyplcOuXJfzK5tKU0lmW4okjRgEPokUY2lc2eEDm5UB5+/I7n0qjf9+Rl880zzN720f81UoBFS0XYDotRlaVhjqRdxbC3moecTPnVXzNxkjNGa6/aFvPuNQ9Jsd+C5Sc21V4U0ggz0ZsNXHzkK+XCedl/wzLMOKx1JLZA8ut/li/cHDGPFMFacW/DQwiE2Llq44DgI38GREk8JAmkIMmD7yuArY2vAnczzdUrm9vK+zALcKuvRFAV7e67G8/ICrbRgb8+LUSri7qcUn3u4ifIca7eN6O+XZ/DcC0/T3PFQDIcub7tlwBce7PCJuyboJQGNTIe7uQ6PKXIPebeQyOsjijI0OeJcVBuGk1SSOJbJXUeROA5OklqgqxSl7CD9qSDhlksTbr40xoiQd76+b3dySAV/er/PY/s9ar5guaN45nmPTl9mKukCIB+hdFta2wgM174iYnYytdWEqeZdbxxy7cUJRsPspGFmEoRx0CYgSRw6PTcbC+fT7ft0QnPN3I7J3wR+/M/F4MYsAbOtj/23z1y61ouVMFB3rD3Ulw6hVKTaReuUMI1ZbKcsridgUl46lfLFu+3yYlLNxFTKjdfENAONrrr6LwNwMtdhvad4/DmPTlshHWlnohjHMpNwsHOBHZAOUkpcKSyYpcGXGk9aIHgKPFXO6LMgF2XDg2MbAfLG4yq4LcNnZbVuzuBp5Z7gOzHGRJxZ9ojCAH9C4mVpb5X5uCNZzCIBVqbXS5BLUq2IYpeppmLHbIQnhgwSn0EiqDl2QE5eQ5IntJSslrfK4m/ZvyGz5I8us6daZz2TpTRKkjTLG6isrj8hTlJUbHMJjkqRMmH7rM5WDM3lO4dEZoB0NO224PHnHNb7ElUoltGgevwdraERaG66JmZi0mASK10DKVBCWbmbSuJIkaQOSeKQpk4WqzhEiQMYfKenBsP2pc1d3986eLLfuXTnaH3KBoCfPLOK63Q++OyR/a8/vNil7ngEWZ2HLw2hEgxSRagVqXLRJutLMimJSWlrDaQgNZ11w7m7K0vSyNcdW78qy5sRAp1vuUBWcypUGeRImVlZOaiztLMk27g1940rj07WSa/Itt6jALdt61J4Gbg9h6LE1DJ4xuKOxsuyo64b4/sxp5Y1v//1BjgerhRlgFnIE7GBwatOQT4k1ILNDtaJYpf3vXnA5+8d8OJik17qUk/sprS2CtCUnTgqzwlUg728dDGXQrJS4JXfdVEL4zgKN7XzUtwM6EqWSTNbN549F1ndkUxxhEGYlNm65rterUGkmcwERL5/xgXOd56aNwKTuqSJyD6jHRgUZs6PjU8Uqc5nT47OoLQ7cpzlzOqTr5/Z+qoPapH8/T+TwX/uP96DksK7/7EOnlTZBFhwjR3C46XgCUOoBaEWREaRaJXZOJmwzIMHY0idSiCRr88jrF0FeLnM5sGLkPk2gsJOpRU2rewLWy3oSvvakWQ1FVn3eF5I5FCZg0K2M1vZVV8CXBayxfdM0dLmeboyOCfBzdjbc2KkjDixIFjqBAjHwZeMyJMiPV+x0Kq+cNnBVA0E7Yy/mVbIrvkBBxZCBqnDMAU/FbipwU0yHZ5QOEvlYVQjnQp5XGcNgLw0tTKMJ9U4qSZVEuXk25errFgtRSqdrRS6tGYzkIv8b6PHrFxTAD13wOy5H/1cpWdfevd2Zcv9e4XOdsErJ2mp7Gf2YvbdgEtnz+APPmN37/2zAD44fwIhBNtrA8Ks5libvJ0I4oxYPQ2+thOnQi2IjSTWoFGVYfN5D+WFwJ1/V2GX1XwpLyyo3HPNQC2sM+FIU9R45M+L9zKyL0tBKRpsPSUs2EfALe2jlwM9Dz4zcOfdP44uJIrrWH3qeTEJMV9+sMbiUg13QuFVaziqDgpjirSiwYvBOpWkzzC0E2zfemuPB58d0kkC+o5DLdFEWTpdybIgKi84E0JTdg7lgaYobElrHWYzVQykyv5NRwsSJXBSme1iZ2t5kgzoZTJNFwm2vHq0mpsYATgwMlAoz3JXM9cbQC5HBg3lWzzmF34yNipba0HHeCy1Xfza6gXxNQLwO+/8Bo16/dVf/OrdNxAu0x+KYuJ/lI3ZUhlDOam9JxLcDOiJzGbOGUgpNaYuz+uGwTzV+gOVPwqDA9ZqE1nzgsjnm5QaV+XAlnY/+XwUQhXYxRwUhe1HvBDA84Az191OLktMprdHa8k9N8ZzIxbamicP18DxcDJ54lQKlIrvN4ZwmxeoVN0VrXuyYKs4drnu4pCZyQHttTr9RFFX4Cb2u6jUDi5VcRXgtsmkrHCQY5WaIqvFtuDQyhbNuVqQKkmqNKkSJBnIq8VreTmEzEGeg7oyIUtgWX2k6lNUpKkoejSKA1KCm2zkdQXgVXBnYzbywZ5RNpY5igXD2CFoTN+w55JXv/rhB9/0wM23vv7CABciJY6H3zXVUte2agbfVQxCW3ivpEHF2ckj2y9eWA/ekVnbkcn68DJQFy1oFYDnXy2PQ2R2LefLecneWR2EYEMJpyNHgZ+Xetrm4rxTxcoSVXSvlMDOm28te2ea26HQ27klaBm7BLdbVCfGCGK+dL/Pg883kb6DJ4Wdv11UEJZtdGXF33g2MxuNVrB4qTkHQ5ebrxzw3a/p8rtfahKlPr1UEqSGMCFbuapVfzqTc3rsgno5JgftyKKNMAd3qiRKacvoUmajJXSlFLmsARKyUs05wt5lko6CyceWsGpeJP98WmQbZcnieFjvXmXb01hgh7EijBTDUDKIJOttTSPi2rle/7vSNHngggzeXjtNrdZ481OP3/23pV5jejKgN9BIkWaTSO0HM3mWMeu/lFl/ZSIq3RsFY5gRcAtGWTwvhawyXdFbyWi5Zt5lkjO33YIkf03G4BRtWCMsnnXDuGoU3HacwhhzZz2bXtbe5jp5w0FSucdExPzxXS1S46OK7GU1wCz7GnNnY0SDM9aup6UdpZHmwaaDwOXdb+jzB18OWdcxgzRgkArchILFpTTIRBRFZ9YuHNeismJNigrIBamTdcCrDOSO7cJyUkmqDCq1FYw2eyyL0uRCqoxUd45VlVYkysvlAkbkiq5e8HIkQZXkzB0rwjAbNjpU9AaSdl9wdmWR1vT6337Lm2+/59jxM1/fs3vbGMC7KWESX7ywPNzb7/dp1j0Mqe3CoOylM2NVMVKA1JZJi2GYmU0wkoqvZrNElcFLoI82D48+H9ecuYtQne2hlCi1eFZxNzLsJgO2o0TppBR2oO24t43JJmPuMsB0KuztuxFPHpYcOhtglIuSEk9qnPE6jYoAH3dR8rsuhuaIil+ds5bL3q0xV1zU4+GXasTKY5AIAgluanASYYugRNaFk2Q6HGnlwsifrEoBUZFGeSNw7q7Yepc0m92uMulXgjuvBTJ22/CCwSlWj3ybmDzALGetjIlUY0YZ3JSSpTgOec18KrNd9WQxF70fCroDGITQ7XaRItwrRXKxq9Kvb2BwoZchCai7AyYadhnMZ3ckqSFSaaWtKW8mtZaPxLYZ2RJQU1mCueBtvJG1WMoZXdZVUfNd2m55+aYSwjY3ixLcNsgURbe4U4BbjgC8OvzHdttTALvIVhbMneI5NrFju4JiDDGfvqvOykoN4TvWd69ehOM1KMUXZ8QizDtbqnXche7Uijh2mJ2WvOv2Lk8ebhGmAX3lUUutFs/LWZUkA3e+VujMEy9KmKxUGdPjOpv3WJ1KZe8SpfMVyRTPZQZqlWtwme93lMuTfGSfGQP5uB6/EJPnY+3Kqbam4i6llTHMSSoIY8kgFPSHmv4gpTfQLJzvcezUEsPBcKNE6Zz7GFJCUyVs3aRYXtekqcy0jq6csHJfHWUMwoAWAmFAGQv0grgvbJqMVQpW5YkZYe2CxUfGi5WMLasMrkSFxXO5IlHOKMA9JxsA5OZbB2YZTsfgFql4nT1PR+6Osp07L56AT93RJJQeSqosezl6IY5nMMdX6God9KgOz5bn1CY4/NThXW8a8rGv9nn2aI1YufSlxEt15h4JZGoqx8nY9jJRzT3o7G+N7ltUZfJU2zHWOmfxNB8roa0UKvo287ksorigk6oOl9U6ovEGCXNhqQIj/QMUsUlZylAEo9hVJ0ns/Bg7jTdhtQufv+sFvvLYCYqWoRzgR46d5qLd2+p/+Ml/vafOMaaadZLEQWsYhIL1Ttnan+81KYFstk+ho40RqPEzWGUvGPmy+dJdyJSXlSiiAM74OGRZYew8yMynNjlOvslrpr3VGLjz9L2bNyZrOzOkaBHLezqT7B6j3IhDZxy6kQfKyeSJGSuPHb9wN67M1eV4NAlju3HKxI9DwxVcum3Is4ciUu0z0B5Bamu2nUyDK2EnRNnEUq5qNRR1P7o4EaXfbFMWTjHY1L6nNKTSAl5lu1NIXU4IyHtv07y7vzAAKgGmNNZAEGPnu8BD1UupOCv5saE8Ljle80m4+WYCYWjo9lI6fc16D+a3dPiu2yf3/MgP/It6/z/9vX5jYqsF+PnziyyvdN+0Zfbin+4vnQQEUxMR9ZqkO1SsdjX9YTZPrqq/sfmYUo6Y8tOOXalV1q4yuZAbA8y8XamQKhVWVCNDNXOQU9ZIqwqoi+dZkkeReeEW3BbA5VAgtypPquytsr5OL2K1q/lPf9JkZRAgfNfKE2lGVpVycM63qr2p1DxXJw0UDG4dlSRxaNUdfuL7unzzyRYroUckHQZS4mU9lOXIh4zBs7oeMl2cl9EadAZujUGOOSvZ9ANtiiA9B7uSImNwK4nSwj3JQD3Wuymr7F0ch4pUGQO4ebljU0kMgT3GnqMRNTsO7qVThjPLtrJUSVhbhbq/76dXFg490On2P18w+OLZQyjlsbaygox8ploJgR/TCIY8eUzxwulJpoPRIZIjH5bRZhwBo4w9BmrG2C1/vwqM6ualVWmSd8gUwJYCqcrxY6oCakdKnEySOAXAc82ti6DSdXQBbtfJ6y9G2dtVMZ4X8Ud3ubxwpAbSRUqJn5fGinI3iWKP+OxLvmw1YYXNx5dknTF5nDokictVe/t8z2s6fOyrAdrxGUgPX4oi6aOkIM5dDDYyuagyuRnNJBZSRYEydlXQRlhw51PCNKTF/BRRAnwkyLR9nEKOAtyu0BUGzy7CcYyICpeXoLfv2t5TO72hIQ07Nw946ljKCwsTTHiCpgc1D06eOMtDjz3PcGg3hnAArtwbI5WkMz2gv9ZmogVzkz0GSYdvPjXHYlfgYrvJHTV6AjdoTHHh57l+L56P9feNeMZFYClKNi8Y8s8CuCwBXiR6coAbOyc7kyKuKt0StzIcqNTclr1dx06tWmtr/vTuJsttH4LMPRGVYOxlJAp5jUiB7lGWGrHtcstQ22Ij66Y4TLUUf+P1fb7w4JCVnk+kHAapzOxJkbk3omzGlqOAIWPv/C1dsHnZgujkzorKnsvstbRbzeTHvQpyIUXZG5uvurkOl3mOw1AdA1ek8fOLEVE8L4+VlQH57+YXk+toAi9hdrLPm25c52N3SlY6E8y2JCu9hO1noTYrGQzsv+I8/MRRlvWm3fH6nT/Z0s+zZ/sajkrphgM+fkeNJ16aoO6JYhOo/GqFjSeTcRCPsTVUf18U+kxWXtsDtFGiiBFgj87+rna42OHujII739kgZ25VYe4NDJ6PmyhHTjjKZi6PHRe8dCJA4yOkUzTnltWD1fhBVFyN8gBUa1FKJhcVeSIKJ6NoN0sdMA6X7YrYu2XIyoEaJvUsi6dWpjgVF6cM7qqFXnkjgSwrg0zG5qb0ybUUhXVYjW2UtiDTkkx7ZwktWZJRocN1Xvosis9REGKxulTZPP+M4oK/I7OA2Z5/jXI02gheeQm8/y3n+PjXE062J1DGYfLoad713ft+8i1vfMPT/+B9B487m6cSpNub72rxZqe7xObZHt94UvAf/nCSew/OoWVA4FTqC0yVYfODmS2A49bYCIttlCX5WLDxWXilPBHF38k7V6rALh4V2Sjgqg9evWdbWqsquCsgz/ard7PS0Jy9VfbacWKUivnyw00OLdfAK+WJW7EuN0quMY12AZlSTngSFQ+4srtZXkYbOVw0G/HWm/s89mIdtEuSWi3upll2Nx2VSuUqWU2zZSDPbN7qhDFjBFpmz2W2qsj8bo99mq0YMge6zldYM7YCZ1KFyqxDWbnoihihZGwxgoPSUUPmkt2QD+CPE0Uc1/ipd3a49brT/LtP9Lj3yRkOHgtZWhVvXl+O5pdWzXFn+6Y+rueyJno8d2rAh3+nxqfvm+L4whSu6zNTg5pjyoEw+bSjsUGN472H4zZgrkWrF4LMroKq1q4OyckBLS4A7ILNlag04VbAnc0nLLftYCOwnXJAUDHizdEZyBMrT1RMrR7x8EHF5+9uMBh6UHdwpMAVo9JkPMAcX702AJwx/T1mGVZ98ThxmGg6vP22IV99sM+jBz1Mw2WQ+niC4kJTxd+vpstzcJcgrybPbfCZXWDKsnkqrR7X0mrzVJfOlZb5Si4qO0OICpNn4z20YCTQTCvnvRIjFPK18ruyAu5cAqdSoLLETxQ7DIYBrQa84aoel/7jVT57/4CP3zHJqVXD0UVYWTc4xxYipieHfPPJlJ/7d9OcWJojkT4Tddt93nBtH6PrVJbjinuxAeDFSR1zEsYugIKtxSioi6t/ZNkTG59n0kTmaXpZCYhUtWzW4DjlCGUn24TJUaNAdwu2tnelbIDpeRFxlPLVh+q8eLIOrouQKgNVXi9TcRFepopwxFGpsnZWcWkqmUxt8m37ZOGJp6lDFDlcvjPhLbf2eOZ4jTDxSKXLQCu8lLHPUurXUQYXFE2+lc+Cyi82jVYClWcWs7FpUpZZz4Lc8lxIDm4BMnstdGWVH1u5q6QnqxdABR9G2pyKqiTORSpIhEQIO7YOLCEEkcPmySE/8b0hb3zlWeTEMnWvhzfdwfmpf/NNXFexsNzhfHsrM01b9ukrbbthlO21rJagjm998XJAHWfv4otKK09Gv3QJ+BzAJYuXOxCU0qRiFRaMnQO8nJxaSJSMuS1jm4KpneKxfO5mwaWjYnwv4vkTgq8/WKc/8KDhIkVeOUjFHrxAFnNkCaaAe16LkpePjg6SH0v4VAqwotil2Yx4yy0hX7h3yDNHfXA8hlriZVpcabtdTDnezjIneaCXVsFeAtsYe24L6SItm+erSpHBliBNJk1kluQr3BSQpoIBRifrCrlxpdfj0jX7HZNJYSPs37MJlrLX1HrkWf187NIf+rhOypaJCOU/hhgcwpgER/eWiIWgrmP2Tme+KeXV50hTAMjJUuGlo/EtgD3mkIjK7zHG8MW/UZUoVc1dgNzq7Wo2U6nsc2YVhbadK3vuVOeDj4E7u7v5FNqswN9Rib07Ma4bk5iULz1Q477naxA4IG1DsyvKEt6R0tjqvfriZTR4dcKTragrm5FTk881KYEeDl1ed1Wft766zwsnApLExQjFQDi4KcVnEmnJ4mLk0trI5OXfNyiVM7dlc/taILUodHhx7jOHxYLdzhQsR1kzwuRCZMFnNQiurNYFVvSoTZxfNDYRZbLtDO091Zo4UeWGtlnNlJAgZB/QONtmJFIKhqFkVdldhrUuD0FR3JQzt6hq8VGZMgJ0KCaSjjJ65UsWGl6MftlxYMvq62qavnJXY+BWlbtTboKaA9qtgDp3TqxjYh+VivHcmKePSz51VxPwQLoIoYouIpVtpLpRpuW2l8h4W4wBjLImparDdUWDG4FObeuenUKrivS9MQ7vfsOAOx8a8vgRO0kg1op+KrKCrwwcacbaFcVdVd5ggYNiBOj5T1UGei2z/XzyoFhXMssmlyaVuEmXQeUFsTHm8FgZYyq/Y1cRLcp/vwjIJVkzhEBmBWAi/7kWhJFAUwfpWYDPz7hIJegPbMg8jGyDQ140tdHNKLOJLxcYXtAHzn4G5X8jNvw3GUvny96I7i7dihGQq3KVUVnLmsrujhwF9whrVx7zxtpcqiiV4LoJcZpwz6M1njtcA9cFaYNLT5RdRdWAaHwTp1HyHoWWqTwpGiAqNSIj1YWpRKvMUUkdwsjlyr1DXnejZfFBalk8FB5DDU6aa9usTiX3kwUViZK5EpXkc9W6VBKMMkgjrA42NhAVRmSyQZRSJZcW4zGZHgV11XWrEp/UZiMeTCb5cilkyFYRk71XyZhiS7bjRNLtS8LYQwsXgcGZm/ZQStJxDb2eTeNKWW4pUQaMZpRJqx+muiS9XKCZyxNR/d3yi9opTdkeP9nPRupPBMXeO8XuxXnz7UjDQ7l1iVJj4K4MxS/cE5WinArAM4niOTGHzgk+/tUmYexC3c3kCUVrmqruEiwqzkkRVX8LiWJGgX7BeeojtdFVLe7Q8CU/+JY+X7qvwcEz9uJLtaKfKltlmGbJn9ydSDNvemwlyfOGVYBLU2pxmWl0qQ0mO0dGCgtwXYmVqmAviG9MgurKxX8hmTJycVRIQ5eJpTS3JGUpv8Cyd5QIegNBu2+vY4FBfe3rP7X5ovn+/3Pq1InLjp1xyf1IKfOqvKyYKa/Iy4qbCntOjXnSYy5HdRcvmS11svL7eebRlmGKYjxwAdyxez4yoepxF49OqbutgzIK7upePWUxVbb7gxMXzQyuE5HKiI99sc4ffH0SfB9UgFIOdWWoKZONo6BocHYrrXFlJrWaiJLl8cqD4hGJVVbqVS9aIckaf8teSCUNwmh2zEecWZY88ZxHIiQIhRYKIWwpbTVZUlpxY6uKKYmseG0qosaUBXbjF0NVYhVSi7Hpsd/yXu3HrJYtjOUFKhWQZVKsOjRJFMM5pZC8eLyDO713fvsl133D+eSf9CYXFs133v9YSJp4eK5lJ2Q1ICzT5hsdk1GWri4z+X9bvj/+34z+/vhSNyqLoNxgqnQucv2dSxJV0d6q2OmhshGVMmOSJK8UzNk7xnViXjor+eQ369j5K5a9i879/O8LRsYLF1WRY4GmqL4oADQGDs3ICc1PoA08s6ymkbbLXGVaPHV4z+19PndPnf2nXZARRkiGqYuDKNLn1knJkJzmiZ8crBXpZLJESjYbKwecrDwW95y1jf0bRosi4DS5uzIWm2w0IkZX+zIhRFGhWtjFeozhKwxeSCABE82UW67qsXVX7ztbk2cnnecPKxYWHU6e89gya2dZVAO7QkJ8CyBf6P2CLf4MUFcDjeqBGImiMxuquo9MqcHLrQLzndXUGLjtRFadPVo7UCmNyv1ulaBkgsrkSaoSvvhAg/2HSu0thbTed9FBw4YTmJ+s0deiwpBUmDB/PtqAPOKJVyZSOdpu9JXKMoUfxQ6XXxzytlf3OPJJnyhVIBxS4TAQAifN7Lsi0M0dFVH5FKYMgfNsoREoYy1MKqBXVfYVpkzxC6w2zgPD3MnIjk0O9gsBvGpK6Py5znBD9u9os4FMRy6anHCU1eU7Njnsmk9pNCMcJe1IhbpvJz1Vl9YNfu6GiLha6zAK7vzKY4MWz4BdBJt/FsBL1s5f56ydg92RZgOLl0xe2UMoDyLzLU6kxpHl0HylUlw35ug5xX/5bIuhdMknaJVd89kKUq2Brny37GC8rDVYsmVe3J8ztyla2KptWyP9iZX6lFQ7JKmLnyb8/Xf0+JN76hw564CKQTvEwmUgBCotbTpZDTbHQJ578wZw8gsue0/m4JYlg6vMRix875zVhckaYCyz6woY9RgOyvhrdLXbaBuOOTBjBJnXyBgEKjYMhjZWMSicrdMCJxEsTNjdDIrOGFm96jayNCMFNBdg8ZFiKnHhq/YCV2OVuUWFtfNEyii4dSlR5CiDOyP+dgbmgsnT0bu0LO46EZ1I87tfaHHmvA/KyazBbIpSkbmsyJOqNLnAsps/f1mgV6VK4fdWezTzFL4s7kUzhFSkicO2uZAf+54uv/xxj3ZsAwJjJKFW1jZM8xFyBlJBqbBLkJf/b3+isqvQmCybmLG6zWxmAWi2YVRu5xlhLwJReW2BfaFzX2JC6ypBZL/3coDfgCWLi1Rm28FrxTD0aCzV6UZ1nJmWQxo6zEw4KKVGIuCqfZdf9KNbWFwI2PZ5tQ7jZbVX9kWqlmNRLFSRJqUXXxbZK1EFdIXJHZ2xeAloK0dGAa+yIZP5o6NiHD/mM1/y+dCnW4TatfJEqEKeFE3FIxfhmO4uLu4qrC8McVMSaMUqrII+T9kbtNZFdrNI4Wu7FXjgJPz4O3u8dMLjI1+0WhwUqZAMtQ04ZZp/rmoBVn4iK9MPKnalBXcpWYwRSGMv8jIZZM+H9a2tTMnrwqU0o38zZ/dvQQZF3JbLEy4E8nIRKlg8kyphBHHs0Fx3iIyD43mWuRs1B5Hv91IBcX6iRv/hC3yYKltd6ANdSKPKcYCPNRlXgD6yxV2VrQvJokt5UrB1hcllWR04+phkvnfM6hr8yTfrrIU5uC3AXVlO1qrKk5HPmq94FTwXsK7gu6q1C6mS/WCkqk+LIqlS7fQp6sSlRGmF1g5J6jDhpbzjjX0+90Cdla4CGYNWxFg9nhNHDm4x8tFensltHqhMCuX1KdJYMFtwl8xdpNgz8I9IURgB+8bVv0KQUGQ1C0zl1+O3ADwIwhCGoSGIDY6t0RC4rkTKoqOyIiWtwKr+keICqP5edYnhZQCeXZVy7GfVUssC2GJMmqiyTapsMBgNKvPhNE5mq1npUQaYJXPnrF2yt1tP+NLdAY8+V0NXtLdtasjlyWi9SZlouMDBrx6LlyXxjD0LH7yUKOPNEKYadBqJMtXBlC6OTrjpqojvflWf3/+yByoCITFCEGoHJWy/bBFoZswtRj5gmfXJmVzlPRLGEkkuo0qpYgGvs8SMESAqrwV2AoNAlIkwxhsgLPApiLJ8XiXR4r0LHNfqghnFECeaJE1x+gO7VTTYIFOMnQgxdnaqJ27kQhh772UBvmGX4qokGg3cCuYWpUc8AnBl2dzJRoxJaUpwV9ySPJmjVJpp8Qzk0ronvhtz5KTk419qstD1bHWZtIPelaDcsWEsXtgoucQI4MfZe/w2kuipMPuoN1wGm6ZahJXa/XPso93+ZHMj5Ye+u8cDz/kcWZQgYkChkQyFrGwilQOqAurxC67K50U2MzsPOZtXAF+wtqCoKDTZ3xGZbBHGZHpcFCAf6brPL7qCTMfBXPaacoHjW2X/miepBxLHUQrHkdk+Ndnywtj33gD40WXjgu9XlxRMGZCOAaTc75KyeXVEnpiKB14ydWkR6opcyZ+nxdDIvL+yBHaCkilOZgt6XkyYan77j1rc92TN9rZJx2pvKW3XjijnrxTNBPlnHb+gx5h85OCPgXs0g1m6FjkzjpbPVstobbuZzh2VVJNIB5U4vO76iA+8u8PP/7ZHmEibgdKSJHNVpK46XxbkI/NKjCi61vPPp6S1ClV+URqDEqLQ32W9iP23crmSVwpudOOq+zBV47vSsiw/X5VkLzx2AipZWCEwRttZmonAcV278VKjBp5nKrZVeeBfjoRGTmDxvJK2hgsz+dj8k+J1Bdi5dMn3ny/APnaXhQ9eTkAdCS5lRZZkM66L4FImuF7CXY+7fO6+OmHkQs0ptHfB3tWVZIzJxyP7qv629ws3HReTvyiBXUqDsvjKqLzKcLRWPNUSqa1UyYGeJA61esI7XjfgjvsG3Pm4srYhEoQkFg6DDHAAwohstENFg8tKKS/lKqMKfzz7HZEng0T2mkyWiEyHm+LYmMrzkR2Tx6RGAfoKoEoB8TKMm72tTV5XI9BpQhhpotjgTLdSXJPSnUgxQpGmkKaj+4z/eW7j9m/1dZ6Z2ihdzKg8GXs+wuKyKlMyF6VI7uRA1hXmrgC9Msy90N7STold7xm+9ECdg+cCK02ELYkVufYWVCZImQ3gLlai4mKuAlr8mcctH3STW3IXTGWPJX7G68WlVEidIrVDHDrsm4/57tf0eHS/RzvK0q/a6vEIRb4PxCi4N8qVPLlTXJAytw0zUJMnfKwOF8K+zvezzJ0UUxwXM7a6V8ZbjB2yUZfnWx/AYvSFtlvnDMKEtW6CV0twdmzu0gl6DNshvaFiGEmSAuSiPAl/FsArT+xVN76/fHk1yooLMQ7yKsCLcWEiY+qKFi+nnuoKyM0YuDPWrjzm4HadBE3Kf/1yjQ99tokRjvW9R9i7HOE87s+PA3002KmA/Fuw90glH+P6u3LiRgqvRLmjndboVKKl9cWV1MSpi1SaH397n8NnXT70OYc4KUGuEYRConQ+SCIDd1WTF6AW1tAGKABtTUWrw0vv2+TDnyq2nQW7GFmlcxIgCzYvJHNHjt+3YO7c3MxHzyWpnYS8vK45tWwIpcEx2NrnZi0mzbxWyLVMNeDgW/yhCwdVYgzso8FZNSNlLsDco89VFegFk1fArcblyeie9Srbe8Zq8BjXizm8IPncPQ16PRdqaiN7FzXflQBYlAkeUfmO48/zk/RncXixu0vV/6YsKqq6JyZrOiiALnOgS7S0WlxKhzhOaTYS3n5bn6/eX+PwuSz9ak1ZUiEYZMl7IUDo7AyaEuwGbLZHZ4Fn9tJIsg08MidFlJ9ZV45TCfR8InGl6nREW1dX+0I7jeDrApArnpXdPRBnAO8OYZgaIgNOlEySpENkBg6QBaNWXKOXPznf4lYNRMvAqzoPPNfeOXjKveir8iRn8apzkm+pIav6u7LdhqzIEikzxyRjcsdJCGPNHY80+OZTNTscXLoW4GPsXawaQoyuPMV3GPVxKb4nf+5bweZF6p6RE2dkKVNMthWJ1d26lClakgqJSiVaKOLQ4Y3XRrzxpgGnvuISaqvDc6sjwWEosEEnOZuKLHNjB+WTAxqReeHZ55TZ9YDJAJ7r7rwuZSPQRXYF53KlXOmr5HhhYL+c6TFS05OBMUltS/V03WHLhIdzyd5N6088u/rV546r751tCqJYFiw5vnRU/1CZ+RqBc54SKEE+FmwyApKynrrszh6fmFTq73KXgQzgld0HxvV21Q7MU/FS2tVKegn3Pu7xKx+dIDVO6ZxIhRCy2DIlZ+pRBq98fnlh9v5zJDFHDuKG0lNTpsOL9D15eWhWjCVKR6XQ5NJ640I7JIndX+hnfrjDwdMO9z4m0Z4g20cDhCDWigGZPs4+kMjigWIe9sgXMXm4YCUkpWQxRUBpcVoFeqG3M7YvB+NfQNpuwNWFcVc9tDm5uI6g5gtuvFqybXv9q83Z3evq0PktvXsfWzvS7vofcISdwOo4puhMH02iVKeMjvZlZjs9j1YAbggaKw261SKqyntlZnIskVMJKMvPVZElBYOnpfddqTtRlV7L06uCX/n4BA881bCb8kgvK4l1caSgJsHP+lFdaTbWbo/cswboohl7dBiRymvg1VjDdEXXl6+rDbyjJQEjDlNlVJqQoxJv5GfGMDuT4DuGR5/1WB/IsaVGFlPEc8eHDIxWHo9dneZbXa0bia4oJhPjdqi4gPfPSMyxYX65obKJVvmznIalBM+VzEw63HRljYs3Lf2Qnzx/0Ll4a5B9qIRUh0WjsZuBSFaCxUw5bSzvNNnV/Wd55/nVLEsG3yhRxuRJNTWfSZLq44gdKCv6uwgss1LY7HnqpXz8CxN8/u4GJlAglEWncBBSjvRbOhvY++XtwZG9MC9wzkfYaYyJRlbDgtVHu+3HO3x0Nj/QZMxtjC5rVIREakUqHOQg5R2vH/DiUZcPftgh8pMRo95ol5CsdiaLGkWaGduUpbL59zBk2c1cwuT/WW4VjoytyFL41XkoFQb/szzt8fmN48yex3J5f3CebT27FLDW9ewY6ImmDTwEKTXXFNtWu24+BzpzRfMAu5phq1592Zkaly4b/fBqJrPCPJUsZgH4ihwpgK7KrhZVeaxqbut3l0kdWdScpNz5mM9Hv9JgmGZT8EVuDWZZS2FGtPdI88XYYJqXz9ZeQKq8jFYxWXCXe88bMpqYDSW0RlasQllxVoSyhVkyK86SmlQ7+K7mh9/a46FnPO58ytqFuTeOFGjjEKZZ0IkduVZ4fUUACshKUZawutwIykAzB3HmoBTDfyj1eW7Y5DHeKHmykdmL52YUa9ktXwELa7KXUKulxKkm1RpnfibJPlGCIxNqvp2XbQO3Mm3KCKjLSaj5TgHlzgGjH3g8kHg5YI8wtzCVZbpk7A3snTG2zOq65YakTloGmE5MP4Rf+L0Jjp7xMU65W/KI9s5LAXJQM8bcbARxJbYsgbzR+9oA8vFjNZrRrBZfVfX4BYqyZFZxKKssrhCpRggHGWku2hbzL97f5qH/y6c7zL6MlsXnSqVDqClAjgRS++VN/lpXgs3sxBphf5aNOSzuIu/uyUnBXGCktHgZgBcrltkoWypkmh9eKcBJrQcexwahQoK+vcidi3c1EVIRhR2G/TXbsqYMSlQ2nqI6jFyWU1BTe2XprLimmOsxdjJHt7GosnjZGV3tkh7xvwtAV4PMcXBr27dY3ZG3Um/iODFJCv/5M02eOhBYz1vmzO2Q15y4YlSWKDHK2iPZ1zHmtm/k9RXiZfl6A5OPOSejmWRTWS3NKLBNyeBF0KmlBXkq0SK7p5lU0ZrrLov5ie9v8+//aJIozVgcMndFkGjFsHruZOZ85FahtM8N9tiAdXjI5qEUXjkgdMnoxTk3jKTmL+iMXAjUuQbXZU6gSqZC5PGQ3cqwPtGg4TfRSYpzxXXfieM2WT//NGePfAbHdRnpVq5uCmREsY2y0tZPTVO7fYnIT5Iol9YxvhqRJqVNOO6g5PJkdF/G6r4wF2Ruad0SNXLPAssg5RuP+HzkM03aAxe80vNGVJ2TMmtZjoIY1eHlaLYLzCAcCctE8VqMHoYNrL0B7yNAL0G+AdhGkg/EGUkCCWsjplIhjbb1KomiFWh+9J19nnjB546HFdSTXDhngBYkWhJSDTBNeTXn9a8IC35d2oYykzV5RWEpVcYkXVb7Icav9TFpkgO83Dco3wXDbkhcJr/K1UAiiKKEd33/Dbzh1mtYa3dxgkAgHcVEM0JuXgUZECfldNNiZEG2nVsqJYlUJKmxDaxCZiDPLCzB6NVVIYRRYL+cRMlBXmXujewtx/1uVe6hnlcJSpkgnYQDxx3+y6daHF52bRu8qGjvKntXXKERkF9InoxIk2oB0+h33nDLmcuMgXxMd5cxTWV+4QbHoaLDi7niGi1te5vIpYowVqrEhr3TCX//XV2OLzgcOiMwTlVgCZAuiZEMdX6RUoAZITD580yeqEyeWMvQ/lxWvlfeymZk+bw4PLl3Xg0qx8CtNcXo7jiFJBXE2XuxKR/T1P7usC/oxQ44LqlwccI4xcGwPog4trDOZCNkxyZwHcVg6BElDmmi7E4Dqd1pVsYGIRSgSPN9YFL7kJ+gPC6pavDCOZHfKrgst6ob977HwZ1bgqOBpQ0qpUzw/ISFtuAXPtzic3fVMW5FmoicvcUG9i7rvs0FnJOqp8+GpE6V0UsdPgr4EdYeA3vBZiP3cR2e16aUToqR1QSQPY6WzbPgU2iSVONKzdtfP6AdSn761xWL6wL8ing2AqMdEikZGhA5u1eSOki7v6caixQLCZMFmbJ60WfNCznoi/fHjAkzxtxJasEdpYIohTAVDBPBUAtCbfclSsKEwIvYsymkNt1jujnAcTWBn+CcOB+wZVN94atPTHz9Q//tFW9WepHvfU2b77ppwCXbhzRx6Q89osgjSlykcDISGs2sCSmy/UfLNaOMsyqNAcKMMvhISr7illRYXMrRvdJHLMFKMCkz1ySvNYnQfPHBBt94rF7WmsjcGqyyd7lrcHXe4AWLqSoXa67Fq8DeQNgboqgxcDO6NJcp+2y+iB6tu86ZW2ZuSp6+T7VdTS3IDVpoZJHKN2gpEUaRJBpfad70qiFvu7XPH3xVESXCpm0LFrf/boIglBWQV9gbUQaeOeDzi9kUB6iSLDQXcJvGDsuGFUrbbeHjFMIEBomgmwj6KURJggljXDnkmh093nJLl++6MWR+do7mpvDrM9Puwqa6Qf2X//Sfqc3fup7E7vr6mvO37ny4xzefrfPMAegOEiaaIbvnQzxXZ4FPtnkRdkk02s7Oq+QuixObl8COVAtWkjzlxkZmRI6M7Ik+wthVcOcOSTrmnNg5J6nUfOG+Gv/mQxMcO+eXTQz5XTkIIfAlBFlCx83GwOWzxctkTjkaztqH5Si7YsqtADsrLx9tNzoQyU7qkhsTYXL09YWnC4wPl6/48vmQ+UwaCFGukNWYpyg/FRZJ062Uyy+OOXVeceikYwvrCsrNYWkTQUU1YPYPVB9zN2V0Gas+ERvfvkBWsgA4FRY3giSFKBEMEkE7kXQiQzwIkXGHV+xZ5T3fscI/+Vvr/O3bDXOtOl79VQTBlv9f0n/pkc0732T36Nk3HxP4gmhvxMmzCc+fqXHfc5t55ugEn763x1tu7PDe2wfsmE1srKElSeowWih/AdbKD1OFtTdo7ooUyYPLMkVv3RG7jXTVPcnBXZEsogS466YcW5Z85LMNDh7xoZEzdpnYEcJu4OTLcs7gCGjy57BRnlTdk7ETf6HzXR6TMrK6ULLHsrYeS/iMBZuUr/P0vczOSSoMwkg74zubTCuEIUVlxz3vyndIQsNlFyX88Nu7PPacx/GlSmRYEdHGOERalGxNJqSzmhWlcyantBSruxeSH6PSW8vvMv+aLxevZEyeaEE/lfQiDUmXy7at8d43tnnzq2KuusjQrLusrvs8/kKDkDozcy5papcUB+CWG6/EdRvs3dHn3NpjHFicRDXr9EzAgweaPHF4kjsfWufHv3+V97y+RxS7DEIfxjzZC6VyR/ZO/JbgrgSYUltW/xbgzgNKmVmBUqZIYV2T1a7gN/6gxT1PZSOPc80tS2kiBZV67xzMZZeOElXG3BhcvqxV+C3O18vdqt31I1WFY+ltK1lEWYaqBUZk/Y9ZpsUODrJOigC00IjcQsyGxwsMqdDQ17z+upB/+L4O//b3JlkbVL5EbodogZHKgrwILEZBXrorNtAsJEsF5HZzcVM2ZZvimiiv+1zSV1YqgUADYWJIBn3+1hsX+Pvf3+Wa3QJXBoSRy9q6JIwinj4WM7V5O1duv5Jur18CfOv8PI3JzXf89ic/8yv3Pjv90zUU0w1IjCBMPXqxx/2H6ix+vAZikbfeEAGCOFHWWUmzDNsYY1m78c8B7kq1YAl2japo8BLcuWQZTejkk6mG0vDbn23y4c806aZOxTUpH+3svnz7bbL93jeWwI5nLwumrtDQKFPb7awrxPXnBvcIO1cymhtrNioFWFmwKYug0yZUtBGIjL21tiOGtTak2fxCIQyp1QA03ZgPvLPL4oriP/5Bi0EeIef2ocw/gyJGlBo8A7nJQV5lbp37gBWqfhmQG6rHtvzT+XF1s7xKoiPefft5/u8f7LNjc41uP2Atcklih9RIHBXx3bfCULz4K1svfs8dS6cXgGy+yy/+8q/y/CkZr62llziav9FQIS0PAmXwle3iCjzFcrfGky+5bJqEzZN12n2fOFYkRSmnverHl/FqC9rLgXs0JV+m42XVChRZAqfioshKzYlwNc8d9vjFj05w8rxfpuKL+YI2yFRZMZUvTRlgVrR3sR+RqBRCFc/Hi6VE8f7IDHORT17N51jnA/3FBr29cU/QynMpRhit+HnReFF2rxeFVzkzVommuGhHn2Mg8FI2TaU88LzL4pLKUvlUGNv+QxldZYSbp+BLiVYlt1K6jcvzqvlQuVdGiBQDnrJ7nAjecP06/+xvd5ibaLHWbtIbBPSHAb2hT7cfsNquYZglcP0/WDnxjQevvO57SwYH+JmfeDu1WsBddz/A3fc9yiCC7sAwiKGe2izafAMSPcHTByaYChxAMFr5lhn9hpGCGsvi9tCMet0vw9zjAWZe1y3yn6XFvQgsXc2zR1x+4lemeO6Qj3ErhVQyZ29pyypF6XvnluD4NoAXnL41flKqiR0x4hv9d8mVvFgNKtp8Q6KnzHBqY7I0+ChzyyyjKbP3RSWVL7Qdwlb64ra0FmEg1Fx9ccxv/vQ6H/hFkc1Dzz69zJg8e65RRGQEXWQ4K3JlRINbMIiKXMmtQmB0xS8u0PzYC/ItciYbcMOeBmnscnIh60PSgjhVDEKHTt9ladWw86Lr2bn7FqIoBP7NKMB3bJslCGrs3dXk+DaXc8uCRCcYYfCyHbY8BybqEqV9TpxTTDY1gZfvTGadBqQpsppy7HyPFllVGxp09lqP6PBCiogc3CWoi0cR47gpXSP4rc81ePpFn7SwA6vFVAqExMm0d1lQVXEl5JhbscGNGOvSGbO9ygt67Mz9GfJk/GTnCR6qFZrVlH7OpIU3XtqHIrdttb38pLA2YV4+K7IOIDItnhOPSg3XXR7y997e42f+vUs3zb5MPlzQUADXoIiqcmRMk4sKyIUpX4tiGFDZi2kYtWKro7NdZUtgJ5oOcVLjwPGEyUaC56YoadBaMAwdVtY9jpyKqM/6eMEMqRkUh7IAeD1QeL53ePc298iVFwd7Tyz2GUb2j3uuvdc8Sath5xcOQoHnysr5Mwihi2NRVKSMADrztoulVRcOyzhrF+CWZYZSqpLB80yl66X0U/jI5xp86hsNQlkBd+55CwXCug1V9pbCoHh51t7A2FWtOAJkUVma+fMjfAzYpQa36B8fKaGhGGVcZfTctjXGZHUp0raKjelxKQwm1+LaoDN3RWAQqcYThnfd3mf/CYePfLZJL84OWO5xV9wSjSxALjKQi8rPHbLakwzY5KyfmS55xruIZaCy2S+4SuC5gpovCTxJkgrWOw4Y+57vpTjKEHgpSvY536nRi/wjjuMeNkTFMS0ioonpbTz/7P1fD5PWJ+bnG0hvlZU+pKmdNhu4kpov8F07oF5rSBKbabJBZl5dOMpMOReNtKRJM8bUF85Uygq4lbJWoKzUmjhOSjeCD3+hwS/+3gTnVzx76VeDSmlLYauBZT5jcKSoaqxjfkSrshHYFwI/VH7G+HzCl0e4qTyvvjeSrs+zjJVtTsZT9tWZgmWlZ9mRX8wY1xKjVTF+Qpt8Wq1ifkbz1z0OpQAANMtJREFUz9/f4Ufe3qPpx5AmYLK7TsCk2aNGG4iye2yy3bBt7GrrlkzeqFCZ0KXtNWDGHLeRwF7m29HYTQWsDSoYRoL+UBJGkiSRKGWYmugxTM7RnJhix9apT9xz/yNf37N720aAA/TDBp3h7JfnZ3tPS1/Tyy4EJ9tK0HOzEW+Kooag2vVdVJIVH7oyoFwayupBky3/Fb+7yGSOgzt7nYNbJPa5SpC+5vP31vilD7dYWHNsresG5laALPos///tfWmYJFWZ7nuWiMitKqu6a+nq7uq9m25oaJp9G2Rp3LcRFL1us4hXGGdcZuTqZRzR+1zFuTOKjuOC4zhuVxkBGUEchEZsFhFQZBV6X6CbXmvPJSLOOffHOSfiRGRWdTU2NDL3PE8+lRkZWZkZ+cYX7/d+m2cr9jNgzkUu21nuHLDdVM/sLzUtw90K8hy4U0qSktasDu4oKlLvKx1n31pvd3py8ldSnQ2agJtBmj6HUcgxq0vgij8fxevPrgFNAUhzS8AdpyCXQFMBoUSSGyJM9p+Q+dZz5vPL7JXJVVMytM8qVtC1lmFE0IwImhHVnQIUEHghmB9j77h4eLCv9NMZnV7m0DL3wTe/+U3MXip3rH+mcfIdvwlWc8kxswMoFexlQV8uAp9qsHMzusOUuGXKzJK2D8glTamsrp2JXKbVOZSkofiUd9vKnAi8ILBpl4ervtmJ3z5ZMIXDbhqsKSKmFHqupVZN7Hx562Da+ZpuD/J8kx89k904PU55GXXvEx3JJMljM0yLOOpJXkVxnVqKJFMxUUmcCrNMJqNTx0oy29XkJ6Zx9q21tHfSXoXpCQwFdHYKFAsK9z3qYWiYpkjJXMr0KxQxygoxTevNG1Bi36P18+R7y1CaDhe2PNwzI184t+NtUsXKdhQuFQTm9ocolOq37Nrz4D+/8Q0fzACcI7e2Dx0PQgmqha0o+hPoKGpqYq23fTOaP+iuhbPW20pbRE6SVKXaWOo0MknbOJWMxeC+wOadHv7uK1Xc+ZsiUKA5q51Npko0b5LVvN1KHddyt1j0drQk+a1TGa2d4SbuRpIN4lhD7Vpyx3gDrrriOJNu8QlVZjYkIek8SalPpiRPSFGT7GT6A0oCAmr6BLKUK5vnIRVIQ+Hc1U186tIRfPwrXdjyrK+VFeV8kcTRhJ4RlIBb5yZRBZ1CS81QKKUb4+touP3MuSomcwR0rpMy30dBCIU4JggjC3Jm3q+EebOLuPC82VBS4U9zx78F4Jf/+WvAOQu//4MbsHXzRgQ+A6WAxyk8bgZRMadXd8JVlbE6uX4n1N0vzRZMZ0y24d4k61BmwO0JbNvL8YmvduK620sIKTMNe1rBDUKSZCpbzNBaJZ/y7JbAjnPGZvO+s0wkIxsDbalMxil1KAdc2pFTTVp+eEsDneu75bIW2ITo/HztXOpIoI18WmfT5u8TqbTUCGqsO0s+nAAQ8BhvXlOHUAQf/+cqtu/z07CvBbdKv3GsiM4lt0B2lRSp0kb5KnWYpfsdlR306iZcAULowFQUq2T6CBTQiBhGxgvwywuxsOv1oRQCwMenBviy+TPhFyqXn3/G4hW/Cfa+bMeuGqIY4JyAcwKPk8yEswwVyaSZuoBWTpKVeY5KkBzXzlr0NN+EWnrCBLbvZfjol6q4YW0ZIeWGXzgOpSMJWtXEt5X6xnpnrfQkl/XJrHYO9FPy8UNY7kmTSIHK2jPt8KT6eE5dMdaxRVmxSXGKGOmWpGF8IynqigETgZUqCeUTwhDHChwKb72gBs6Aj/1TFdv3mQ+ZSISOxqcYYhCESisrlKoE3NTkg9vHhJq590Q3zk99ubRqXhc3aAkzjvXU5SjWFlyBoDGhMNEoYmDhgl+UOgYvHxltthxXmt8QFDvw7NZbxpYtxPoFgzUx0YggpE7U4ZSAmzYiCcDtOBGWWmbKXJUk50zalFeS0hFq7xNX33aATWMwLvDsMMMVX+7EDWut5Xa1bmu1NXlNAzraYtvm9dTSFGR5cFtFpIWOWDBmS9KS52zJ2nMAuGutkw3IW3mX4qTqSDZ/3OajZDtiufvrnHGnW61iTjs43chTCqYdUMHABcFF59fxvy4bxazuSFcXKOE4m9bx1IlikTTKiilU0IoKSatzHFXFBbWQ7l9NS+wtFgpxrBBLBaH0b1kuxXh6TIo948H6b3z/9rGuauHgAAc0T966c+Ky79/Z9eiuA/ryQJlurOIxQDfNN1OE7VzKfJqr1bnbVuoYkOc7UWXux2DEVOYwAcEV/uWmMq77WVmDm7qUJFfIAM27dXcqS02yxQxuQ1C3EVE2DyXrzbvWPIvuRAlvNcfTRnc7TTwHfrgW2k0tdcLormLhyoRO006VAXNataWSAVcMQmlVRUiu+x7GwJtfXsOfv24CXAitEbvyYQJ0oeVDo65ESkuHsSMdJhU7yhY2pIAXUiVlabHQ/QYjYQobhEQc6+JiRhXm9Qu8/0I8WvJGLsv0KDoYwPvnvxb3Pwpx2rFLVHfFg8+pvnlA4CkEnoLvmdmTZu570pDHdn51GmRmdW0X5I6DmVTi2JIzc58JEE/htl8Wce1tJTRtRmCGjrjW23jg1C0iVllZEFkns53ikMNvYtHd++2su33VdPGdOJTuNmdjRi9OipGN9pGXEC2ogSzYpQt8B/BOW2YtHbJ02JVkyUQ3a9F9oXDxBTWcf3oNRAhHI3ckROmA3AA9duRDW1cppDNgS2ZrL2OhEnDHMRDFCmEsEUYSUSQRxQrNCBivF1CqHKtWLxLivW+/oO3x5Zhkvek1Z6HeaFw7dmDrstr4ULlYICj6CkGgEJjeKT6XxprrIU/u6D7G0prKpJcJcStxpENDBCgRLZIg5zGop3DzvUVc/sUqfre1oAuGk6octzrH8G6a6t1JhY7VvaHS8LxbBI00VbadjNVWB3dh7BYTWNQe4lJTbM9Y7AyYYTg2kvQIG6bX/bpN8x1FzT4yse5EGhXFcGNpyXzqOQJg2doFAaxcGOFzHxjBRyhwyz0lfZJx1+k0Jx50YCmpCHL4eJIWmzjC9g2cQvWkKjntxUIgYbsWMEohac/EzIHTrg2CAiZbdLInBgfnqK1b1n9x9XHL93eUCCpFhVJBoRQoFHyJwJfwPQnPs+OwVWLJM52m2mjdaXGwkxmYlJ+ZHoIG3D++u4iP/lMVv9saOOB2KQnP8G6f6OY9ScSSpuH4NMdbZRJ7aBsLngI6X8jggNmhIo60PG2m0s5yJyC2zyc0haSWPU9dWjg4SSYn24inG9HMNPI0g2ZtRb4y1tulK3Yup5QMccixYn6Mz75/BK89q6apSibaGTmWXCJWQFNqPh7JNOKZ0BDL06WOmmvLjdRyR0AzUmiGCo1Qot4QqNVjjIxF6O5dtP/x3z35xZm9A5OalEktOAAcs2I5JiZGsWfnw4CYQCGw9MT24LbW2i0ly7ZUy9IQG7hx+5qkFjtt0hODcoUf31PE//znKh7fYkvO3LzurGJCiKYltjOVpSbpbB23c61TqQO0VUxchOaVkrwciPz2Q+En7bY59ESZnBIkikqqsKQDZJ0+KrDKilVOnL42RiqUVCZdEECp6WuC9K/7Ba2m52wWocLKhTE+/RejUAB+ck85/fxJnSa0JZfIFDBTqIzRsH5Pku8C6z9oZUVQpU8AYXm5RBRLeH4FcwcXo1rtmPIQTwnw7hn9zSgce9+Cef0/3L/7qXLBJ4nFtp2v7LQF0q5noGvFc8UKlOWCOCQtWiBc4Zb7ivjYl6p4oh24aR7cpvzMgDzPu9sFd1wuPnnkrw3PzgPA2SezyEGYipvTkDtB4EiEdufUWusZNGlhhFsgkXVAdRah5uQw1EUa4BHD34kyOniSOIWUpQgXtO45SYAmsHJBhM++fxRSAj/9ZSn9AlYnhz7IShJEIAkdSuRC20hHAIqm35NCO6RMptmeEVXgMRB5QINILFkyMCEVed/sgVmt2uB0AR42h2XfrPkP+B5GH55YXw68MLHexHxSDQK3gb3KKCJpSwfZ5uZYb6ZbGyuucOt9BXzkCy7nzoObtYDbUpNkYBRJixbcBKr2jmWbnoMOHcnLg3lHtP06BEczF8FspS5WByfJs9l8lTQviNiIJ3EAn2QWItHD7aADXbBspnkkrdwMzBxgZ+7bzxsCR8+P8H/+ahQKBLfdVzTnBMm9lkApXfaWpMq6XzLZlyS57tYA2YNNoQtT/EihXOR4+QUvG12yeMEDe/cNS0yxpgR4R2cvKOP7Rg+EFy1cfPSdjaF1nh/oM9/1xBORLBeZzE9fyJaZpS0emAPun/+6gA9f3YWntgc5h9KtreQZcHsW3DQbjk8iljm92xxzJ5W3PWDzljyhKSQFsJtCa/MunF2mB+6EgWQBnOjiztXAWupsOi3JeKDKBbk0lIZmnVDdRkIaYLugtCB3cGPf3AUt0U/EIcGK+RE+/8ERvP8fgDsfLCaGP7M/oGs7FUmdTmnBrh8rAMl0baTsyGrnUACRES5+7QlRoxlf1N3Vua9cLk15fOlUTzLuoTa6Gd09C5/pGVi8OShLVEr70Ns9imqlhmIhRODZoU5Z60xtf0CnQNi2d6AOyG1TenCF2x8o4i//oQvrtxV0uRnNa9y8Bdw+AYIcuNOgjutMumm7jlICTGK9HUDnQDul80jgDCrIeaAusCdFPFrMuMo/52xLQvVIrXi+1VvWGU2zDPPjCdPWcCaNVhLd51DqGUBaMtSVQFKkjqcIOZYORvjSXw/j/FPqYMI6mxGgovS+FJBSoamApiQ6A1FanZw4urjuhdIQwGhIsLtGsX0U2FtvoDLDx6pVR20+aunCZx57chsC38NUa0oLDgCEMvzrj9Zum9HVfcmWrSesq++/GaesiLFkNkOloCvvrfZKTAjeDeIkfQMt2ImeUWlpiedHUFRh7QNFfPBzVazfEUAF+QCOS0+0TOQ5ignP8e5knmVS35jNO5lcMXFvUwR32mA3X7421WoLbmu8J+HuLubTap9cSRuxGjnS7QSm85XZR2ojTWy0E+YBJAgoKJXa6FpLTg1BNpxcJbzBphCYD9YElg7GuPpDw/irf1S444ESpA0n2yoYc7WQYGhSklhwQkjSppkZQ6SU7mY12gTK5RpWDw5j9cIDuOgV52Lu3OFLJg7ctI3x8w4G34MDvNSxAMOjE6h2lHbdcgfu+sTVT/3RVd+v44p3juHdF2hdUoGk9CRTNCwyQKcsBTdnMbwgwo4DFL98pIArr+nE+m0BlM8A4rXn3Ta/hGbBnVhu2kpL2uV9p86laqEgLdKfA9a8M2lZ7JSAniYRt2BsezI4Vl05f+3+aQKWS12c4ofcGUJNcAWUgErbe9OCVoMcBuT6VNKPnbhS6myaBwoECIGjBmN88cMj+MQ1Cr96pIjt+wH4qZJtVRYBigYlTm6Kziwk0C2aTVIiOBf4b+cewMffth87R2ag1HfSXfMWvmKXFBNgvHLQ48oOugeAqz7zabzyNa840N/TOcaU/5bNW/ahv7uExQMclDDTNizN+9adXp0x2raNsZlyxlkEvxBj4y6GT3+9E1+4tgPb9/hQSfepPCUxbdZMNbxP0gGtWhKcCtz5Sh2bf+x2h8r9JTonmeS26wp5+9ioAiZ1mJgKepsPnrRRtq9z8sMnS8ltSdElKSelzuta0nhJlrsm6QW5YFb+b+b8dC5RSpnr0WSXLcfdTk9y85wEerpjnHNSE7NmSTy5keHAEM0izZxQNiJLQRJDZOklp9oF66konLHCQ8XrgAjWgATL/mbPnq13z+pfPC3DcVALbldPz2JUOjofOHVVeCOPht+IcAf2DRcgOpoIfC3t6Sro1l4mFtw6cSqCX4ywcRfDJ7/WietvL6MheVqwkDiSHjJprwm4U52bZ6TAPLizRQvZ/PVcSmz+x59M94NDH9pZ5unKJs9hZemJzDigcFJtkwaZSupChHzeigGhMphLLbmEpBRQUhtZKwsSml4hqEQyxCqpHYWuqnfAr0KC/q4Y73jVBAJf4ZNfrmLTTgBuwNHIlbFietyfuQH6t/SZQsFT6CoTbNlaxqyexThz8aobFy5b8kBUG5/2cZs2wJcu6sezu3ZuO+vMUz/QGH2SDe/b8zopYzRDPYDUY2ZMcwu4nTk5LIIfxNi0k+PKr3Xi+rVlNKiXThhOtO2sM8lICu58sx63rpJMAm4XzLa+0v1JkiaaLbza2ZYxaM8DkvNOZc6ZzDyvUk82kQ6V+ZAGjRIEzPTidkP61Pn/0n4TUw1PJRJOrohW12kikOsjZlvLKWoATtNeKcx8NkYJmg0C34vx5nNrgFS48mtVbN4VAL77pfVrQ+j+7AFJOxNzpueDEUhMNAsYbZRvWrjspA/s2rV7++zZs6Z9WOm09wQwa2A2Rnbfvf3Uk5c/tmJpGVARwphpqclwWmaa0jMz2YwxPRqFcW25t+5j+MRXq7ju9goaxNO5t5ZzU45k4hlhutSMAEWqEBBdbpZNonK4t8PFW8AN1zo7sqAL2pw64v5t5d2TKSlO9OYQzoFskXbupcp5vo2K4m52LTUSZ9PmhSNJm7VFzPnZP0LSRDVJUmpzPeKF0CqKMGqKEOa+YBCCpzfpIQo9+IrgLWvquPJ9w5jf2wQaESCsqhICMoJUyrRD1goKYK040AwFaKkHi5eveuymn913SOAGDsGC29XTNxPwZn12/YYti8bD6OIKOQBCkEQvORNgXCdKcRaDs1BPNyMC9z4a4CvXV/DDtRWExJlPacZnu84kM85kQFQmOslz/LpdICfPUd0ura1qSSsnbcFoDqyTYTdxVg8N31Mv15F0t6tUD9dW2szLUTA1kmm00z4PU1gAqX0JwJW1TWTRaNfEaOKuJdd0Rf/v5AMZCw4q9EllTiAG/SOoCPB4jLec1wDkML58fQceWl9EU9hvpX+oGB7qhCCQQEHqz8mowlGLenHiSUuuXXzUys/u27PrkA/fIQOc+Efjzjt+OuIXFv5ZsbhtTsDJWYEXIfAjBF4Ej0cG2BE4C+F5ERpK4Lu3lPB3X6tieMJDxDxTZpZPmmK6uJfosLtPHb5N24TeaQ7YaO+EUZv7bcHsWO+MBSep25RsOxiq2ywXiPniiMn2m8725DnnQqHch4aDE6Oo2BA+sUA3n0jB1m3qF0r3WJiOWVQpPa2BKH2ymF4rVp5MqIkjUzJFEkXR5scwACqm4CzCW85r4JWnhvjba6r43i0dmIilQaAySqOHMULAYgIv0n1bfD+4+7QTF//ZtifX1dac9/JDheuhAxwAzjnvVXh2x0O1hYMvDw9s/zYq/gg8T4/I9liUDFz1/RA1KfGtm8v422uqGB73s1abZiVAq28HVM+qzExdoK1WO5mSDAfUQIsSQdxU2BxtsdidxKfMIou07kza7P57We8MYiffpe1nAzSwiEo2pZQFyRateOu/7leyOSDURhXtIClFoWgrL1cgUEQ6kqE1IwJpDxcKxiigCBiNMbMS46r3DYNTiW/9uBMTTRgZUUEqiQnFEUuKiaZCb28X3vD614b7h8hzAjfwHAEOADP7FgOQ95fZMafv2vFUsbvUgO8pMCYAEoNCYPNegv9YV8FnvlnF8HiuGWaiddMcJTE1lMZqp4XCKtMIs4WOIHsfCchVC3VIHjvW3F2ZTWSSEwDpxsnEtN9nJTWZebA7waB84Cfz5sax1H6nKT42OrNKwG1ytG3gxxxXaWRfPWdeA5soA3BlJ0449837SUW0FVcEjIq0ygimbI7p57rKMT51ySgCrnDTujI27pW6zo3EUJQj5MDCAeCM08+ur1i++H5GD8lVzKznDHAv6ISSw1d4Xa9RW3676UNzZtxZ2D1C0RQKPVWBJ7dyXPn1Tvzi4RKawte939x+JUQ3I7HdWXXgJtsUkzncO69tZzRh5CyzuV5PWTyMVuubbGuD0IMY1SO6CJxIpkrFFLvd0hJiVYqkHYWRPk1yEzH83Q6D1cE7YubtpBZcKQJFZSpNKj1OhRlubh1XqiSoEhr0xOSfMwrVpOgqRfj0+8bw8jObuPKaTjy11UdvFWjGFPv3e3jzBcsbl7797Kt9rv62q3rwgM5Ux+b3Wvu2/bsfRQeueHzDgx/9wr/v8xu1GMsX1PH4Jh93PFAGPE/fEnXEWm0H2KZ20iPZXBLXaud17gTY1HJv/YO5IxDbadz2Mc3dT/l8NqCSXjVIMm4k6Qtjm9BQOA19aLKPrjyx29ORJunoE7fZkGkQkDQlNcUaSas7pyGRMwbGbnP7zrjjGDPdxYxhSE5+ALZQWm+zx87JrkyKxu175OpsSb4sMdspOOmQQNzottDxED8C82OsfTDA45s5VswXGBnlWPvQqrDae8pVHR3d//vj739VOB0cTraeswW36z8fHA8XzO26au0jx4XP7t3yqVOP3kzn9Ams/aWx1r4P0CCV/szIbFvpbiU/Tt0pZ+mPy90fzwFjCm6V4dotCVI5GtE+3H7wNZUFV9P8H4ey3BOy5YkpP2XrZ27R0o2JT6mL/sdJtVJyTLW1TmgKNYEf44BK6FqAlC65OrkzxNa0kLDBJKmoDiqBoMgVZvcJ3H5fEXFYxvkn9siFiwc+dSCinwvojt8L3MBhAPg7Lvwz3HTLz+qnHzv3xjNXdH9ySf9mSB7ilnUEeNoDaAFgASilSRkZpwocqWVmGUdSpZo2bRORpFn+bX8vl1q0cOK8U0hat1sAqNw+iTLRhgcnV/sctH4vwJPcf2kD6HaB1na+BJBSFv0fSUKYzfUudUCt+uLct5bd9i6xyoq9T5UCqJ7ZoMyb2SCQVFJfrZTuuUKl6T5MGYTUyXcAEEiJvUMSP76jgrH6TAzMPVedcuy8GzFar598+lt/nyMJ4DAAHACOP2YQo80FGwaruGxs5MyvfP67v6APbC4BhQBgAQqMosDcMdmpz+32/7Mz4u39ZMpCDtgtaa1AK3eeAmVtsWolWaTKg8tlW16A6f7/Q2fvUxVTtL/6ODoGab1qIfd97FmZ19Xd/5xcDYkZO0LsLCCHjyupVRLDxW1OtzL7A9Jwf0DANBUiCpQySCEABdTrEqvm1/HO19fwbPMV0us46rIly5ZuePiJQ9e8263DAvDB+Sugol+H4Gd+4+p/31i694kVn5dyB6jHUeQUHVzq2gW4Bzn9Md3wuktPktRXmu1IlZcBM6CwxSIklccyl2jnV58MxCS/f066awm6OLu77+l8pLZrWrBXqZ9B2ry4hcrkvsxUJ0s6H4i00Ji0uNo4p0Sl1UCmLYjNiwF0bRlx+rkph94k/zYxIrqWV4GAUAEpa3j7K2ehBvnXVzxy4jcqv3pKvPqs5dM5Ogddh1UY2LZjNwitvI40bv/ev91wQ8cXrg9QQBGdgW6Mb5Px9fi7tK0BbQduk1FGraOZq8pxKUobTCRAdztD2R+V5ACQKXgAkm6xrpNJrHNI0udT59E6mTpjUDuLbidZYjqmZp3MxNE0/0t3ubVXrnQ2p3UYGcs6mXoSnXNlcx1CmpYTut81c9InxcrI9F9RjvHRILGdbN3RM3BagzjVW8bRtPvawFDanyVNry4XIgg5ghvu7cKCZe8Ye+vrz3j7+OjETR3VgcOGycNiwe2aUS2i0rHxJuDkv1ixkl69/N67Z0wMj6JUYJBG6oyFaRUAmCR3q4I4agJNB0O5KkN+SCrJe5TGcXLbL0hkrxjJD2jpSC7JyYJAOc/b+ynnVlOYxucgKObMc1up0tEyE7XD/foGyMR53t2v9WOm3a/SKRGpQUje03BxIs2JpdK5SgpUS4NOfJ+YdAFmuwEASS5LHFPEQt+kIpioM5TLVbx6zZoDsnTaB39y9/6bzl7VcxgReZgB3tHZCQDYtWf0O+eevoY3x4PP3nb7nb379o+iaboRNSMCFSsI6fBAazmtZXDAzWkW3O7UsfzlOdu2TKXjG1WWVuQpUqbol+ReQ5x/nmTroY1EgeeE7emuFN/27GyV/DKAbnMSZE5gIANy2/1KZr60PUYm7iDt1UtBMqWzFQHYrj+USEiqc1o0PUkLMoUgCCOOZsTQDBlqDQYv6MPAojP3LjjqrP+h4ug7q49aeNiP22EFuF0DfZ0YHRn95hteeQb11P7P3H3vPb0btgPE1z9QM6ZJIxhKoD1tRxdOgjzMoSoZ7TkbjbS/nqVARMFUjafWHHA5Z4oai1tiAS2NxGULiFU2iJKPIlrgtJDu52DE83/bSZwp93Yb17v57a5urT9M1kkmmRPdtm4Typ0QgYwVJyBmvikBlUpTLaUA5k57NaqJpLqg2HQxIwSIASjloRFxNEOKKAY2PQMsW37M3lnzzvpYbUJ+s1zpej6geGjpsoeyOqudeOqJdd9YOFi5/LQTug4IKdFZJOipUggl8cyoxHBE0BTpaIvE4TSg5tRMkGC26ad97LRzZnqGkNvamVGTVu5UuSeURWU7miZ1iiq7T9suU8gB29k4uSIxzUUmOSeIVTOUvZtEcl25046ISf0TJ+CToXcqOXHsFS/tKkUQxwRxTBEJPSYkyt+PKaKYIBIEkUhpR9qx1gCLKHAuUAya6JsxBkpD7D3gY2TMB5REk1YPjDcLl99488+/Ua50HPz4PMc1rZK157qu+Zfv4b3vOe0R7pd2jNcqL6dqIlgy6OGEFSMAG8bGZwMADAHTub8eg24Bx1NgW3AzrqODnBEwpie9MZY6bswpB7NUIuk1nQe0ynJvg6/WUi43qgmY0jO7H3H8gbRELaVRJDnBCM2PNGlVhDLRVJ2e09qoiOZfYwDM3IKPrCOY9GdP8uDTWUq2bZuQxEys1mDVj9Pn0gadlgKmZ5dyjp2NrHIq4XkxCkEE35/AXY8J3HxvB/YPVSAEQd+swTFamvkXtaj2vT99+9uejzhZsp4XiuKuJzbOkoz71x69dCJu1ArfKmBr4Y9WRyiXx7Du4RKayoc01CVxMI2V9rilKWYmi62JTIDssAJl2+8CEJoDUlOpLZVK2hEkPf5ggxkqCdsjsT72JFCp0mD4dnL5bjG3KX9pm+2XW5MyGNL+YaKIkJSqZH2RfJtqa+ldi20dPwtS/X2s5Y4ESbq+WtplX5uqRvo30gaDgpuDSQy4BaVQnv5MPhfgvIGfPdCF/7y3gtOWNDAwe0mDFQbec/zcyvXjE80pm/YcjvW8A/zd77wYP7npBjERzL1+Th8TJVb/rsc3FaQdSQfl0BLlgJtkrLg7pCjraFpLopI2vBqgugVv0jjGNHm01juxOoToMnP7g8KhJ661V9AFBQ7pUY4VQ7KP++0PTsazz6rMduLeyej9JkcvmaSRlTrTomoj2TlvJCUAQqEUIIhWM4QgCGM9PUFYypjh4CnAGQMEJWBSO5oqcTAVGKVgTGq6AisrShAWY7TRwMz+pY1iuecd/f0DN27auk9ceOGbnm/4PX8c3F2ved2bsGzubnHByW+9oVjtueR3u1egGSksmR1CKYdrU0tTzAQ3TuF5mlv7HoXvm7/2sbkFPkXg6QlwBXPfYxr6erYLQTMGQnOLhJEszU0kTlZKZxKAw+Hg7mML6KkusNO5+JKDP+c6lDBZgdmK+uxgL5brD8m5hMcFPC7gexKBJ+BxnfykFBDGFI2Qot4kqId6HmUjNCP7Qj34KYzNGL+QIDTboogijKj+G+v7seHpQjBQorDhaQZGBC5508za0qVd71ra9fYb7v71zhcE3MALYMHtOv6UizE8+ga1bNV7tvbtfWLD4Myx7oc2DPVs2SVR4AQ+V3qiMid6Jicn8LmmJpy7gZKU4yatEpwIo5R66oRUwFhNoRECEyFBJLIBDErS1AALI0LTAU2pcjIJTcnr71Zyca36NJdrYbWxTmlFu30TPk1zykluoK4ODKVNUq2MKCUBY7qkbbzuod6kmKgTRDFSeoL8VcHNglRghsoIRY0VZyYwxsC5RBhxCEHxxNYSdg6vHjlrwdJLv/H90g9nXPZVvP+9l75QsHvhAA4AjAfgHPeMrz9m2cDyf3rXqaf4n9uya/tMUTuAgkcRcGKmSBB4PoVv1BHGCHgSBXRnTpq0V0qSNABAk4dSgWC4FmPHkEJNMM3h4fRQoQqeIlDUpQUkyY/JNplHSkFygaF2f/UDLTVOukj2fovsCYedOFw73TelKWlpnga0BTenMplWpydFG8pCJThVCMscO/cx7DngoRGq5Aple8AQkpVn03iENjyCKXhS53lDpQqOHj4VY6Q+FytWLN2/ebz64YhH33/rGxv4k4tfOHADLzDAO0qJmcOeve/89rsv5Hxm5Z6rfnTzHb0TY6PwPYbAowh8Zy4no4aDO6HvJAfbcXzMj8CZAudAtaywcHACwh/HPU90YM94CYHPEDCKAlUImJsIpWzsRHd9Uun9hKoQC+Cs+W5LUZxI6aEsl/fqv6rtieCeEBlQOVY87dGuR55zJuAxAc5iFAshRmoR7t9YwM8eqCCscXSUjDFJ8t1b89vTbbrGmDPdsF5I+9lNJBME3O9BYeY5e09ccOZHV58Qfzsodr+QUEvWCwpwd/X1dmFifOJfL3ztH5HAI5/58U/W9jbqo/A9ikJgeLTHEgczm/+RhvRtvgajenyK7ykUA4kZnSEWzI7wqjOG8W+3juDqa3uwv9aJsOAjYhTCWGTC9A9iazsFMWPviGkXYtUUh0NknM82KFaT3M+vvIFvZ/CzglzOkjtKScq9XQ4uDPeO9c0LUSk2MdFs4Gs/LuOaW3rR4QdY2htDCIKCr/0dljj2xGR1ZvNobPEHI5o+CptjogSUlCiVOjG4+Jy9s+af9TGp1L8GxedP5z7YOmIAB4BypYyR0YlvnH/OqXGxwD+/bt1d3eNjwygEDMWAwfds4lL6Gp3kYwDNLbC15fa4nj5RCiQKQYwwZujxSnjf64cAtQdX36Cwv9aJugqgQHPtJnTjR5mjJm4UNHEupwB1S27LNI9FRg6EC2ykkqCTI56NYGZnkqYtPKQuBOcxfC9EwW9iZKKBL98Y4Cs39qGpKugpKjRChYmGHhbrC5IoVyyRaNNR2m6sgBCSzK4UAgAoql2zsOTo04bmLVr9EUrEtzz/uZebHY51RAEOANXOMqIo+s7ZZ5x0YP++3Ys5lX//5BMPeaWiQsEn4FwlWq00EqClIckIQ+fmexKBL8CZlljH6x5mVAu47C3jeOLpYfzwdo6YUDSpDy5IplmQMFcICZv73MrD21OS556EMl09HHA079xjV/dOS8MMPWG624HvReBeA2vvpvjStTMwrMro6tA+RywImpEdsa2SSdbcxB88LsCZbrFsr2wi1gSPmcnXDQ84ZuXJUWeFXz534QmbKC/+xPOmbm38QqwjDnAA8DxPbti44aZXvuqV/u5nNtV6uvmXt29+jDBap6WCghAEQ2MMjZCAGRpibxbYdmyhxwU41+mbOgzNUG/46KpyXPraMdz1YBFPj3BIytAgHL4EPErAVav1tsu936pb5/g4aX3NdFZmf9fRJO12UmkarJs56AzftU2Y9C2C7zWxb1Tgqzd1YTgsg1c4fHMlEEpneUaxPWYKNDYgZyaK6Rldm1FEkcTIuICQCoEHdFdLcuVxq9SceUvff+zRS/9t17N7woWLlhxpWAF4gXTw6aylS5ZCNPaGs2f3fWfu3HlHL1666O8WL6hiydx9CIIhPHsgRr2pfxDfUygVJMqFGOVCjGIgEPhCR86YvlRb31FKilhwNBoBTlwqcMGpE/BUAxAhYinRlGbqlzJTK9zAzhRkuiW11E1RzJ8hB1nt1JN2b6zfTrXwcORoSmawLovh8QiEhrj1fg8PrC8BgQ9OKTzqpEo5IG+GCvVQodZUqDcU6k2FMNJX0kJA0d8DTIgQj+2I4Jd7sWDRkr+bNzjv6K7unu+s37zrRQNu4EUEcACYM7gMvX3z6iLctf6RZ1531apjej5V7RsQP7oPeGxTE81QglGgVJColGJ0lmN0lCOUi5GhJdlEoqTfnmSIYw7P43jbmgl0d+meeEoKM2UASaJQO+4NYFIukU3GIpnXHsrKy4SuNp7Zx7ypq7i3VM7TLMg5i3FgROEHt1UQhQHAODgl8Gwk1PmusQSaEVBrAuN1YKyu+XmjqUdq+x7B0QtjvPmCOlYev1CU+pZ+6sPvXnbVxm271y9dvKB+3MrDU4lzuNaLgqLk16qT34TG7q+LoO/ST9RKe/ixx97911uf/G3ge02UCjGqlQjVShOVYmiCCgwTdR+NJjf5KCZRSOlmkrZRZDPkOG1VDeesquH6O0oQXEAobsZn6HCFmoxnmzUlgA/ihR5qYJO0fdJtw5Z9jiRtNTTo7ZgY7sW46xEP9z1chPI5KGWm/4yCm3tPDL9uRARjTYJGTOAzhY6CHufOuUCPBIJCD846+Yzm6y869x+7OmZ9ggU/whc+euGRActB1osS4ABQ6L8E23ePoacYXXHJW8+jW7cuOv3hB26j8/qHTu/t2MW7qyGkCtGMFXzfh5BdGJvwEcUUnOu+HB6XxoKbm2DwFMVxi5r4j7siCBlDKh+xHX/dBoQZx84NuCAHQCcPxQ3n553UTOAmlywFtLfcyVuoDA1PpzpkPo+lKhLEOJqxEHh4U4AIuuESJXq+kU1s87juYM0ZEMXAgUjhQFNA0hhxg2HvGENnEKO7a2ZcLHf8cuWJr5Y9cxf8MmqyK5Q6AEJmHGm4TLpetAAHgHn9iX76sR3rr8Oac1d0+HT/NVSMveXxDZvpz34NbN3dgdWLBBb3EYzXfFCiKQwlCoEvcoOWGJiieNuaOj73wwjNmtZtYzPq2rXcCRCRA6LzPBw6pJ6jc5l5P3MnzTuxz9hqdXNf2XSrPH9ScMP2enS6wHgN+L9rSwjN+MW00FsnuPkcKAYEpUDH/wulCGcPDuO4RQ1s3BnikY3diOhRcvmxR103u6/jvbfctW3sA+9ZdaThMa31oga4uwaXXQQlHx4DOeovn9k5sPH2x+9f+dh2+sZNG57BxFCEDVWO3i6Cvhk6U873aFIW5/z8kIqjo9TEOatq+NFdJShPmgSrFDAZa23D1vYJAkwWgU8io2r6fqbLvbP9Tlq9WpsSTO2obmpHc9t/Zptp6ooaQiW4F2PdrzxM1ExXsVxJEqM676dcoOjq4OjtZpjVozCjo4Q5MwNccGofRiJ2457m2Y+xYNkXlBwfO//UpUcaDtNefzAABwBCVwHAvgcffebjb7/w1Plnb30SQ3s2vpFFv8L1Px/F+E4G3yuhEFBUYg10SlQyZRkKiAVDZ5lizQl1/OjnOmVXIZ12kKcibms3m6Nhl1vKlo7WtlcCF+Htz4g8HWktP9P/R7+PaVUsAUm0z0CT9N/sqBIbvGJUgHoCt/+mhNEx2/yUQMA0mzefz2NaHalWOOYNRIjEGG55oAdvXLMagx2Lbzxu0aIPIqxtI8Hhq3Z/odYfFMDtOunYORgZPrBtfv+Kj+zdXflOpTDnA4/t33D2jvWbUG+EaIYehNRh5mKhiRmd4+A8RqPJEEU+GJU4cXmMYxbX8dj2CpQdDuPkdiSdtWia1MXc7MX0spDWa1p50bZKgAP2tpGbXHYgADstJL+3bbdBJDHaN4EgFEIqCNOWwamQBgxFe2ITxW9+V0TECgAPAEUga02MUIYCo+gu6e/ncwJAoFwqYumyRZix4Ph1c/qrX+jqWfzI/v3Rtp6e+Uf6Z39O6w8S4ABQ7ZoBABubsdrIKB4bmE0G1pyy8ms7tm1asn3r40wKiUqpiVBM4Fu3Ax7zccFqnQJACMGcvnHM6wvx2BYBO/M9SewnKsl3sbWhjNlparlMWaWAZA5lOjNePzmNL2KjkeZ/J5U4zrAsQKex6gY8aZ0hMbns6agRklTsEKLAuMCOPRzP7ClD8RIKzEO5EOI1J+2BxwVu/XUvhiYCzOpS6Ch7WL16lVixfPHGub1D/331aWftArCeTMbH/kDWHyzA7Qo4AYD1IyND66UQr6iUi3NOPOH464Z2/rxTkofKX7mJ47o7B3DqEoq5XRILBpqoViiqlSYuXlPH2kdjCOlUrTipobqY2fylhp5kKIm1zfoOkamFV4fibWZyYmxCmUoGRrnFwTqcnv5/Sig41W04kpk70NJfra7wvdvL2F0vobPI0V+QWNBP8eoTqjhpxTAW9O/BT+9fhGXLFk28680vGyVEXdTbP/eZmLJtf+jAtusPHuB2VavdEEJuW338zB0jo/VjFsyqnbbzwPFfn9m/OT7nuO0z+spjHc/uk+gsjsL3Gujq4JjT0wQzk33dqRGp1bbVRWmiEZTSVUDC9hBBatJpLs0WmNKKE9d6W2rkZATql5vCAtMwSfsVOpyuoPfTBcPSWHJdJAwQCKHwzF4PQnooM4mZZYHZXR6e3deLfWPzx971x30HzrvgeL53qHzJkkUL7gtKHSMA5EsF3MBLCOAA9KgMQKpoyxD4rFvp2MiyKz/07eaT66/5mw2/e+idtdEtEfXpcspEQcTDumZTmQQuCyyikppQXRqny+O4aUMhpYKKFKJYIRYq7QckdZ6MbfeWaNRTYCWJCVmAm3wam1tj+wyFkU4naIYkqTn1OIFSEpRQXbzBaRrcMnSFWC9WAdXOIvp7WGPO7I4n5y5c4i1cefJ3OsbP/4dw5k0BL81qPP70hDzxqM4j/RMe9vWSArhdxFsIaJ+stnXbdjDG/55x9vfHHrOIdXQc8+WiP7SMykfPonwDK5eKiCIKFYegAUwrCjunkeh6T1/XfjJGIIVCYzhGM1SIYlMBYwqmFXQfbOnMvNYYc3LJkcthgaN6MIBzBZ8rk4ettR1GNLjHarqdg8f0wAyhdDEC5wpCSgjJEMcRolggFh4UKaFv5gyce9pR4tyTFt09rydY36xPXEapEowXMFr5hVo6MFg70r/X87lekgB314L584AUTnHUGHovSLGb4dRPV57+gT939oToLHSf0B3IE0f27UGtNgaPEHSWPPgeUCwwFH0G3ycoFQgqRYG94w08O8L0ZApTcCEYMZSBQHHjtBpZMemJYj6J1bPdtAB7FfG5RODpXG5tzXUuydCExLZdnSgVKEoFBl9QxLopATwGxF4EEYdQQQl+aQDED38dxnt+c8rxR7M1L7swPGpB//8cm2gMzep96VnpqdZLHuD55RW6AWAIwKUA8C/X/gKE4GwRhS9v1sYuGhuvHSXCOp7evgnVChBwgWYUgYBgRifB0sE6Orr34t71/eikDEVPF+8GnjIdAixPtg18jMxoqvwlkMzEkdI4jFIrJpxLFHyJYhAj8HXFe8GP4QcjuO23DM/uKmJ+LzCzShHHQJ1wcF4C5QRz5h+NjooP7pWeKleK1wUB+5lSat3ll74KwEeO9GE/Yuu/HMDz6z0XvwwA1u3ec2AdgLvCKF68b99++YNr98iVy/sX9vRUP/rgI1sxa0YZc2fswNzezdg1OorR8W6UKwHKJYmmiPH0fh/9HYDP9UQDzvT4PO04EgSettb1hoRUuhk8U7qeMRJa/eBMolRoore7hp37gSgqI/AEOJ3A0DjDE093YKB3Jo45eg5mVkcAbyGGhxtX+cG+LYOLz6IdHd2UUG8TgFsLpRdvfsgLuf7LA9yu/r4ZAHCrfSzDPSBeoWvjpu2/3PBMiN7ezmjlMYMf6qocd0HHhMJf/kkZv33gISwdGMG8wRF8dy3QmCgBpAkogcCnYEygXlcgoOipApSG2LpTgMDDrJkewAlGxyWYbV3HCXpnEIw3I9x8fwULejrR38sxe9F5+ORfAXc+PAO9FXbbklnNz8/p2+ux8tFQbMk6qPpw30DvkT6EL8r1/wE+yaJ+HwAMA/gxAET17QDwJEHUP2cuk739Ck9v3IC+7jpWLqLo+63C43tl9Kd/fOqVVNVfO6NTRoRI7HhWoaPCsGBAgfEahhSFT3zMn+Whs6ywY3cMpQgGZxW8gb7izWXv1it3DjNv864AM0sBKK+g1H0yjptBUewu0oLHdwPYsmzxoc1s/6+6XjqC54tgrf353QBI//DQ3mpXJVaUCmzaoVCtcMwfUKBeDfc8ylCgPub1c3R1KGx+OoJQBPNmlcic2X0jSqndy44+7Uh/lZfM+n8znsdJ3j3JewAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QyMjowMzoyMSswMDowMM2347UAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMjI6MDM6MjErMDA6MDC86lsJAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 69803941
{'hecke_orbit_code': 157625986991529536, 'n': 1, 'trace_an': 1}
-
id: 69803942
{'hecke_orbit_code': 157625986991529536, 'n': 2, 'trace_an': 0}
-
id: 69803943
{'hecke_orbit_code': 157625986991529536, 'n': 3, 'trace_an': 3}
-
id: 69803944
{'hecke_orbit_code': 157625986991529536, 'n': 4, 'trace_an': 0}
-
id: 69803945
{'hecke_orbit_code': 157625986991529536, 'n': 5, 'trace_an': -1}
-
id: 69803946
{'hecke_orbit_code': 157625986991529536, 'n': 6, 'trace_an': 0}
-
id: 69803947
{'hecke_orbit_code': 157625986991529536, 'n': 7, 'trace_an': 0}
-
id: 69803948
{'hecke_orbit_code': 157625986991529536, 'n': 8, 'trace_an': 0}
-
id: 69803949
{'hecke_orbit_code': 157625986991529536, 'n': 9, 'trace_an': 6}
-
id: 69803950
{'hecke_orbit_code': 157625986991529536, 'n': 10, 'trace_an': 0}
-
id: 69803951
{'hecke_orbit_code': 157625986991529536, 'n': 11, 'trace_an': 0}
-
id: 69803952
{'hecke_orbit_code': 157625986991529536, 'n': 12, 'trace_an': 0}
-
id: 69803953
{'hecke_orbit_code': 157625986991529536, 'n': 13, 'trace_an': -6}
-
id: 69803954
{'hecke_orbit_code': 157625986991529536, 'n': 14, 'trace_an': 0}
-
id: 69803955
{'hecke_orbit_code': 157625986991529536, 'n': 15, 'trace_an': -3}
-
id: 69803956
{'hecke_orbit_code': 157625986991529536, 'n': 16, 'trace_an': 0}
-
id: 69803957
{'hecke_orbit_code': 157625986991529536, 'n': 17, 'trace_an': 4}
-
id: 69803958
{'hecke_orbit_code': 157625986991529536, 'n': 18, 'trace_an': 0}
-
id: 69803959
{'hecke_orbit_code': 157625986991529536, 'n': 19, 'trace_an': -6}
-
id: 69803960
{'hecke_orbit_code': 157625986991529536, 'n': 20, 'trace_an': 0}
-
id: 69803961
{'hecke_orbit_code': 157625986991529536, 'n': 21, 'trace_an': 0}
-
id: 69803962
{'hecke_orbit_code': 157625986991529536, 'n': 22, 'trace_an': 0}
-
id: 69803963
{'hecke_orbit_code': 157625986991529536, 'n': 23, 'trace_an': -3}
-
id: 69803964
{'hecke_orbit_code': 157625986991529536, 'n': 24, 'trace_an': 0}
-
id: 69803965
{'hecke_orbit_code': 157625986991529536, 'n': 25, 'trace_an': -4}
-
id: 69803966
{'hecke_orbit_code': 157625986991529536, 'n': 26, 'trace_an': 0}
-
id: 69803967
{'hecke_orbit_code': 157625986991529536, 'n': 27, 'trace_an': 9}
-
id: 69803968
{'hecke_orbit_code': 157625986991529536, 'n': 28, 'trace_an': 0}
-
id: 69803969
{'hecke_orbit_code': 157625986991529536, 'n': 29, 'trace_an': -4}
-
id: 69803970
{'hecke_orbit_code': 157625986991529536, 'n': 30, 'trace_an': 0}
-
id: 69803971
{'hecke_orbit_code': 157625986991529536, 'n': 31, 'trace_an': 9}
-
id: 69803972
{'hecke_orbit_code': 157625986991529536, 'n': 32, 'trace_an': 0}
-
id: 69803973
{'hecke_orbit_code': 157625986991529536, 'n': 33, 'trace_an': 0}
-
id: 69803974
{'hecke_orbit_code': 157625986991529536, 'n': 34, 'trace_an': 0}
-
id: 69803975
{'hecke_orbit_code': 157625986991529536, 'n': 35, 'trace_an': 0}
-
id: 69803976
{'hecke_orbit_code': 157625986991529536, 'n': 36, 'trace_an': 0}
-
id: 69803977
{'hecke_orbit_code': 157625986991529536, 'n': 37, 'trace_an': -7}
-
id: 69803978
{'hecke_orbit_code': 157625986991529536, 'n': 38, 'trace_an': 0}
-
id: 69803979
{'hecke_orbit_code': 157625986991529536, 'n': 39, 'trace_an': -18}
-
id: 69803980
{'hecke_orbit_code': 157625986991529536, 'n': 40, 'trace_an': 0}
-
id: 69803981
{'hecke_orbit_code': 157625986991529536, 'n': 41, 'trace_an': 2}
-
id: 69803982
{'hecke_orbit_code': 157625986991529536, 'n': 42, 'trace_an': 0}
-
id: 69803983
{'hecke_orbit_code': 157625986991529536, 'n': 43, 'trace_an': -6}
-
id: 69803984
{'hecke_orbit_code': 157625986991529536, 'n': 44, 'trace_an': 0}
-
id: 69803985
{'hecke_orbit_code': 157625986991529536, 'n': 45, 'trace_an': -6}
-
id: 69803986
{'hecke_orbit_code': 157625986991529536, 'n': 46, 'trace_an': 0}
-
id: 69803987
{'hecke_orbit_code': 157625986991529536, 'n': 47, 'trace_an': -12}
-
id: 69803988
{'hecke_orbit_code': 157625986991529536, 'n': 48, 'trace_an': 0}
-
id: 69803989
{'hecke_orbit_code': 157625986991529536, 'n': 49, 'trace_an': -7}
-
id: 69803990
{'hecke_orbit_code': 157625986991529536, 'n': 50, 'trace_an': 0}
-
id: 69803991
{'hecke_orbit_code': 157625986991529536, 'n': 51, 'trace_an': 12}
-
id: 69803992
{'hecke_orbit_code': 157625986991529536, 'n': 52, 'trace_an': 0}
-
id: 69803993
{'hecke_orbit_code': 157625986991529536, 'n': 53, 'trace_an': -2}
-
id: 69803994
{'hecke_orbit_code': 157625986991529536, 'n': 54, 'trace_an': 0}
-
id: 69803995
{'hecke_orbit_code': 157625986991529536, 'n': 55, 'trace_an': 0}
-
id: 69803996
{'hecke_orbit_code': 157625986991529536, 'n': 56, 'trace_an': 0}
-
id: 69803997
{'hecke_orbit_code': 157625986991529536, 'n': 57, 'trace_an': -18}
-
id: 69803998
{'hecke_orbit_code': 157625986991529536, 'n': 58, 'trace_an': 0}
-
id: 69803999
{'hecke_orbit_code': 157625986991529536, 'n': 59, 'trace_an': 9}
-
id: 69804000
{'hecke_orbit_code': 157625986991529536, 'n': 60, 'trace_an': 0}
-
id: 69804001
{'hecke_orbit_code': 157625986991529536, 'n': 61, 'trace_an': 8}
-
id: 69804002
{'hecke_orbit_code': 157625986991529536, 'n': 62, 'trace_an': 0}
-
id: 69804003
{'hecke_orbit_code': 157625986991529536, 'n': 63, 'trace_an': 0}
-
id: 69804004
{'hecke_orbit_code': 157625986991529536, 'n': 64, 'trace_an': 0}
-
id: 69804005
{'hecke_orbit_code': 157625986991529536, 'n': 65, 'trace_an': 6}
-
id: 69804006
{'hecke_orbit_code': 157625986991529536, 'n': 66, 'trace_an': 0}
-
id: 69804007
{'hecke_orbit_code': 157625986991529536, 'n': 67, 'trace_an': -15}
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id: 69804008
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