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mf_newforms • Show schema
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{'Nk2': 4200, 'analytic_conductor': 8.38429221223444, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, -1], [7, 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': [1050, 1, [701, 127, 451], [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': [[11, [2, 1]], [13, [2, 1]], [17, [8, 1]], [19, [2, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797778458, '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': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1050.2.a.g', 'level': 1050, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '210.2.g.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/1050/g'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1050.2.a', 'trace_display': [-1, 1, 0, -1], 'trace_hash': 1218770429096738580, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.981', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [1], [1], [0], [-1], [-1], [-1], [1], [0], [-2], [1], [-2], [1], [0], [1], [-8], [-1], [-2], [0], [-1], [2], [0], [-1], [0], [2], [1], [-1], [-6], [0], [6], [-1], [-2], [8], [0], [1], [-8], [2], [-2], [0], [6], [1], [-8], [-2], [0], [0], [-4], [1], [1], [0], [-8], [-2], [2], [-1], [0], [1], [-2], [6], [-8], [0], [10], [-6], [-1], [1], [0], [2], [12], [-8], [0], [0], [-14], [-1], [10], [8], [0], [-2], [2], [2], [4], [0], [1], [-6], [-16], [-1], [0], [8], [-6], [2], [10], [0], [2], [0], [6], [4], [0], [-1], [-10], [-1], [-2], [0]], 'ap': [[-1], [1], [0], [-1], [-2], [-2], [-8], [-2], [0], [-6], [6], [-8], [6], [-8], [-4], [2], [-8], [10], [12], [-14], [10], [4], [-16], [10], [-10], [-10], [0], [12], [-6], [-6], [-12], [-20], [14], [-2], [-18], [8], [10], [0], [8], [16], [-2], [22], [14], [0], [6], [-26], [-8], [16], [8], [26], [-6], [-22], [-10], [0], [20], [24], [14], [2], [8], [22], [-4], [16], [-28], [-8], [-10], [2], [0], [-32], [-4], [18], [0], [14], [32], [-36], [-28], [0], [6], [-2], [18], [10], [12], [10], [-6], [-26], [6], [-36], [-30], [28], [18], [12], [-16], [8], [-36], [-42], [-28], [-24], [2], [-6], [12], [-2], [-20], [-6], [-12], [18], [-44], [-18], [-4], [32], [14], [-42], [16], [-32], [18], [-18], [12], [30], [20], [-16], [14], [-6], [10], [-12], [0], [-28], [-14], [-30], [-38], [-20], [-16], [30], [20], [-16], [4], [4], [6], [-42], [32], [44], [0], [6], [14], [-6], [4], [36], [-34], [44], [-10], [-20], [-6], [-48], [48], [-6], [-52], [-36], [44], [6], [-4], [-18], [26], [-6], [-12], [18], [24], [24], [18], [-12], [-60], [38], [18], [-24], [22], [-18], [-30], [16], [58], [-58], [-48], [22], [-40], [-26], [-32], [-32], [-4], [48], [-16], [26], [-40], [20], [14], [60], [6], [20], [-12], [-66], [-52], [-24], [-30], [-20], [28], [-16], [-54], [-2], [2], [38], [-16], [-24], [26], [-52], [30], [18], [4], [10], [64], [-8], [36], [46], [-44], [-10], [32], [6], [26], [-34], [-50], [-8], [-52], [74], [-36], [6], [-8], [-18], [-4], [46], [32], [-66], [4], [-36], [-6], [6], [-26], [12], [60], [-58], [16], [-10], [52], [44], [-8], [-28], [-16], [-8], [-64], [38], [56], [26], [-24], [-18], [18], [12], [0], [-2], [-12], [-28], [-54], [-38], [0], [-54], [66], [58], [52], [-34], [-34], [48], [-26], [76], [-10], [-64], [-60], [-30], [-58], [0], [28], [60], [-12], [-66], [20], [78], [68], [-14], [6], [30], [-30], [-72], [18], [76], [-52], [-78], [-14], [28], [-16], [-28], [82], [-58], [80], [-76], [28], [-16], [12], [10], [-38], [20], [-4], [42], [2], [20], [48], [-2], [36], [-18], [-2], [10], [-46], [36], [14], [80], [30], [62], [-52], [-28], [32], [58], [-18], [30], [74], [36], [-8], [36], [-2], [44], [-50], [-16], [-52], [26], [6], [80], [-66], [-86], [82], [-44], [-36], [48], [6], [-52], [34], [24], [78], [-72], [60], [60], [82], [-24], [-68], [10], [48], [-22], [-4], [44], [-36], [-16], [-74], [-34], [50], [-24], [-18], [-94], [32], [60], [54], [-50], [-62], [34], [30], [-54], [-12], [-2], [14], [-32], [20], [-18], [36], [-68], [-10], [-36], [-30], [-92], [-30], [32], [-54], [82], [-12], [42], [62], [90], [8], [20], [2], [26], [-32], [90], [-68], [80], [-14], [10], [92], [-8], [-40], [-82], [-22], [-48], [-48], [28], [-42], [-58], [-8], [32], [46], [0], [-28], [-78], [-102], [-36]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 27021597797778458, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1050.2.a.g', 'level': 1050, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [9, 13, 15, 12, 13, 14, 11, 12, 13, 12, 13, 13, 15, 10, 11, 13], 'Nk2': 4200, 'analytic_conductor': 8.38429221223444, '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': [1050, 1, [701, 127, 451], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 217, 'dim': 18, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19], 'hecke_orbit_code': 33555482, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'label': '1050.2.a', 'level': 1050, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 264, 'mf_new_dim': 18, 'num_forms': 18, 'plus_dim': 4, 'prim_orbit_index': 1, 'relative_dim': 18, 'sturm_bound': 480, 'trace_bound': 13, 'trace_display': [-2, 0, 0, 0], 'traces': [18, -2, 0, 18, 0, 0, 0, -2, 18, 0, 8, 0, -4, 0, 0, 18, 12, -2, 0, 0, -2, 0, 16, 0, 0, 36, 0, 0, 28, 0, 16, -2, 0, 20, 0, 18, 12, 16, -8, 0, 52, 2, 8, 8, 0, -8, 16, 0, 18, 0, 8, -4, -12, 0, 0, 0, -16, 20, -16, 0, 20, 0, 0, 18, 0, 0, -8, 12, 0, 0, -32, -2, -4, 28, 0, 0, -16, 8, -32, 0, 18, -4, -16, -2, 0, -8, 16, 0, -12, 0, 0, 16, -8, 0, 0, 0, -4, -2, 8, 0, 4, 8, 16, 36, 0, 20, -24, 0, -4, 0, -32, 0, -20, -8, 0, 28, -4, -16, 0, 0, -22, -36, 0, 16, 0, 0, -16, -2, -32, 0, -48, 0, 0, -56, 0, 20, -36, 16, -32, 0, -16, -8, 16, 18, 0, -12, 0, 12, -4, 0, -48, 16, 12, -16, 0, -8, 44, 0, 16, 0, -16, -2, -72, 52, 0, -48, 32, 2, 6, 0, 0, 8, -36, -16, 0, 8, 24, -4, -8, 0, -28, 8, -8, -8, 0, -8, -16, 16, -2, 0, -80, 0, 20, -12, 0, 18, 20, 0, -96, 0, -16, -4, 0, 8, 0, -64, 16, -4, -96, 0, -96, 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-20, 20, 0, -64, -16, 0, -32, 0, -150, 40, -24, -92, 0, 48, -48, -10, 64, 0, -96, 0, -16, 64, 0, 20, -84, 32, -176, 0, -4, -16, 0, -32, 0, -88, 0, 16, -48, 0, -192, 0, 64, 0, 0, -32, -116, 104, -32, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 629809
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.a.g', 'source_level': 1050, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '210.2.g.a', 'target_level': 210, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 629810
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.a.g', 'source_level': 1050, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '630.2.g.d', 'target_level': 630, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 629811
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.a.g', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1050.2.a.g', 'target_level': 1050, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 629812
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.a.g', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1050.2.a.m', 'target_level': 1050, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 629813
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.a.g', 'source_level': 1050, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1470.2.g.e', 'target_level': 1470, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 629814
{'conductor': 35, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.a.g', 'source_level': 1050, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1470.2.n.c', 'target_level': 1470, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 629815
{'conductor': 35, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.a.g', 'source_level': 1050, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1470.2.n.g', 'target_level': 1470, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 629816
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.a.g', 'source_level': 1050, 'target_char_orbit': 20, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1680.2.t.d', 'target_level': 1680, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 629817
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.a.g', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '3150.2.a.q', 'target_level': 3150, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 629818
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.a.g', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '3150.2.a.be', 'target_level': 3150, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 629819
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.a.g', 'source_level': 1050, 'target_char_orbit': 20, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '5040.2.t.k', 'target_level': 5040, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 629820
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.a.g', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '7350.2.a.g', 'target_level': 7350, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 629821
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.a.g', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 67, 'target_is_minimal': False, 'target_label': '7350.2.a.co', 'target_level': 7350, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 629822
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.a.g', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '8400.2.a.bd', 'target_level': 8400, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 629823
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.a.g', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 53, 'target_is_minimal': False, 'target_label': '8400.2.a.ca', 'target_level': 8400, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1630950
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 2}
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id: 1630951
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 3}
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id: 1630952
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 5}
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id: 1630953
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 7}
-
id: 1630954
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 11}
-
id: 1630955
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 13}
-
id: 1630956
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 17}
-
id: 1630957
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 19}
-
id: 1630958
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 23}
-
id: 1630959
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 29}
-
id: 1630960
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 31}
-
id: 1630961
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 37}
-
id: 1630962
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 41}
-
id: 1630963
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 43}
-
id: 1630964
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 47}
-
id: 1630965
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 53}
-
id: 1630966
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 59}
-
id: 1630967
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 61}
-
id: 1630968
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 67}
-
id: 1630969
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 71}
-
id: 1630970
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 73}
-
id: 1630971
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 79}
-
id: 1630972
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 83}
-
id: 1630973
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 89}
-
id: 1630974
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 27021597797778458, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '1050.2.a.g', 'level': 1050, 'portrait': 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i5U6PQtzaqg5gskMUGQ0KwltHs+Jy/A0PgYa7lyW0inl3BuSTPV8Lh0W8zOzV3qtSFCWsJQ0OpVWWz5TNUEnvQ4d8HnyFnBifmYU8sxQbXHG17W5a23QiAnOXSyyakFxfmMuRctR5Yst1yzyM+9b5Vtk5OcOD/N+aUai6uapTXJaium1Y1p9xJanZhYVAmmt5vde7Z/bKJZ/fEwitu/9i/e81JD4lt6/I0GeKvVZhhFKCk/8OjTx+742f/8afnWlx254yffdl4vrGxmpd1grROw1tastDWrHVhpJay2IpZbCefX4OiSYG5ujX/zA8u8/PIapxemOXehzrklzcKyZX4p5sxiwoVOzOT0gFde1+UVV4IvqwQqYGGlwvklzfyKoDeEODZUfEO9kjA1EWOAk/Mx7S7s2uxRrw6xVoDw6fYNO7cMWV7TYJ0UWevCMAaLZaUVsn2TR6evEMoizJBmxWPn1gFrPcHJc5rEaGaakkZFEHgQx4LeUDK/Ijm/bFlYjQmCAXgxt13d5Y5rBHPNKsurTU4vBJxbgoWlmIWVmLMrcHTZcsvVS/zCD6yyZbLJqflp5peqLK76LLUkK62EtU5Eq5PQ6llWu5bzHcG5pT7/7p8O43fdOfFgZe6HTKW570GB+RmDR63WeKmhctHH31gN/pUvfZqrrrmBn/6pf/lLn/nc1/+3P/qzL1924MTa7gNnB/JV166xd7vBJCoFkwAEFglIQICwaGEJJJxbqfDIYcV1e1e48pIBtQp4WuJ7Ct/X1KuSmifpdT0Onajw5Sd9Tl4Y0o4jDp0esnlmhbe9cpXrLutwy5UtTizFLPUEtWDAsXOWVrvOtZdK1gYJB04oGjXN8yfh8m2WQZgwSHy0jphqwMHTAUoneDJGe9AfSl5+ZY9+T3LdZQntfsLJcw32bFHUayFrQ8umyR6r3TYf+xo8fTzh2eMDdm1b5vp9baamQ95yW4fveY1l75YGSTTJ8bMTHD3jcXrecOZCxJkLCUcvCE6tRdxwxSL/5gc6bJ6c5PT8NPPLNZbWfJbbgtW2odWNaHUduFe6loWuYn7NcNMVS/z4W5elQu4+eeLcnrVWcmt9ald1ojn5lU9+6i/40z/96EsNmQ0ffyMZ/Pf+4OMcXphQt+5d+b/On1/4Px97+pg6cW7AQltxsg2X7Vjk3//4AjfsqTG/PMVyq8ZKO2Ct7Tkmb8NqO2G1HbPSiVlqwelVga4OuP2aFb73NSF7NtVZ6za5sFJlccVnqSVYaRmWW4bVjqHdN7SHlt4gZqYZsXOzAQSBZzlzwUPIgF2bFHu2WbZt6rGwOuSZww1uvtxSq67y3JFpGvWQMPSYmTL0B3DVzgF//LVJ9l0SMxxaZickUdKnUQl4/sSAqlfnxitinj0WsrDss30mYM9W2LklRKmIM0vgexYhLLs2x0w1JJ1+QLfn0e55rLQVK2uw3DKstBKWWgnzLVgeJOzc3uV771zi9is1Fa/J+aUmS6sVltY0y23BWsuw1olY6yasdS0rXVjoSOZbCbdcscAHfnSFS7dMML88yfxSjYXVJvg7k+mZmV/67r+75xeeffx8csPL3/lSQ2fd428UwF88/CKVSqU6f+7szvsffvY9J06d/8XFhXMYK1ntWJY7MN+RnGgl3LjnAr/2Y0tcf2mNC6uTLK/VWO1UWG17rKYgb3WM83s7MStty0JLcK5rQXR5x6tavOXlhku3VgjDGqutCmtdn1ZHsdoVdHqCwdASxpYkASUtgQfVwDLZtGyajtDegKPnQ/YfCTBxnTffGqK9NZ44MMHurfCFR2NedW3AhVafilbEScT0FMSRh/ZilpdrvPKmNl94qMGerfD44SEeNd70ckMs+uw/mnD8TAUtfTZPaabqgmog8H2BEhAbCCPLIIROz7LWNXR6hrWeYblr6ScJu3b0eMsrWrzjjhBMg+W1CS6sVFlupWTQgrVOQqsbs9Zx4F7twXxHcaGdcPPlC/zKjy9y1SV1zi9PsbxWZ7lVYXlN0x8atm/bTK255V81pq/+s507t58aDAb9K67Y91JDKX/8jQH4mVOH2bR5zj906Mj7D7145LcefexpsbzSkYmBYWTp9o3ThD3BfFdxph3xsssu8Cs/vMxNl1dYWp1kqVVntR3Q6visdjRrHUGrY2l1E9Y6Ma2uYbVrudARnG8ZpiZ7fMctHW67MmbXZkWz6tHuVAg8CSjCWGKMwFjoDQBhmGoMOHzWYmzI3Y/XGfaqXLbd5/brekRmjXufnOTGyz0Oz3dprTZ5xXU9vvJEwOZpy4GTln/89jYHTgRsnpZ8+UnF7VcpVnptjp2e5sYrQu7d3yce1rjtap+9lwzox12+9ISCRHD0jKZZ02gBvb7EWEFiLFEMSIP2Da2upd6IuGTrkDuu6vEdN8fM1CssrEywvFZlte3OzWpb0OpCqxPT7sasdQ2tnmGlJ5nvCJY6Cbfuu8Av/ugi1+2usLg6xUqrzmq7wlrHxQ2DUBJGliipmD17r7W79uz9R3v2XPbh5eWl8OqrrnipIQX8DQG4tX1pk87bTh36xGVHTjV/9YGHnvR6AxiGlkFoGAwTegNDZ2Bp9y2tnmChpzjTSrjtygU+8KNL3Hypz1qnyeJqg1a3wlrHZ62raXUUrR50upZ2L6bdTfKbZbErWOxClAy5/vI+W6YTuj3Ld75iyO4thjiRaGkJI7jnmQqnLlTYOhXz3NEKmBpX7lDctM8QVHo8cbjH4lKda3bXaU6u8tCzHi+7vMJyb43V1SZbtlgePaD4/td1eeyAZscmj6Vui9WVaW66qsdDzyVMVye55rIuF1otHn1hkqquc8s+yxU7ByC7PHNcsGk6YmEx4t5nPAaRQkpIjGX31pDveEVIp6vYNmW46XIIwxorrRorrYC1rke7p2h1Je0utHsJ7W5Cp5fQ7hnWepaVvuRsW9Dqh9x+xSL/94+scPPlFeaXJ1lt12h1A9pdj3ZP0x0o+kNBfwDdfkKnF3PNdTdHp1f5lz/5Q3/3yGSz9tlq4JuXGlsveSaz1+vRaUc/8Mwzz/zG0pmT04tLIfWKBCEQwqZ3AFgLxhqXmrcWRIIUiscOb+ZnPujx9ttXeO/rVtizPWR+uUngV6kGPrXAo17VdKqSRt9joq7pDRK6/YTNQ0N/aOkMAlYWK5w5bQljw9n5mCCwgMBXFi0Fvb5C4BH3NDfsFuzdZtm5vccw6XDXY4qDR6Z4480BN121ykfusviixu7tPZ59SLF9UjHb7FFRVcLI40IH6hXNjs2Cpw+G3HRFldfcuMQffK6P7zV4w60WL+jx1UdDvvBInReOV7l0W43dWxPmpkL2zEZcuztBKYNWFrDUgoC5yYAw8uj0fJ477NEdaHp9RXcg6fahO7B0e+67d/oJ3X5KGH1Y7CnmVy21iRY/+Z2L/N3bQq7bU+fcUpNWp0q7G9Dpe3T7iv5Q5uAeDB0BRDHc/8BjXmNm9jeOHHx65YYbbvnnvV7/D2q16v+8AB8OeiDEjxx47vEPPPzgvdNx2GeyofA8CAzOIcmNHksKd+eXCIsSCb6SPHdklqderHH43AXefkeXO64eMNlostKqUW9XaPZ9uj1NJ73Y/YGmN9QMhm6FCCNLFFnixD3D2McakErgaUHFF0w2BFMN2DJr2LG5x+xUiy8+Afc95SHNBG+82eOGKzs88EJEOGhy+w2CVr/PheU6t11hmJ3sUdUBg1ix2I5QRnDDFZpaY8iThyq8+qYJXnF9hycPKbAT3Hy1zw+/dYWvPB3y5cfqHDhVYeecYst0lalGjYkGVAPwtEVJMBYOHBckiSCKBWEMw8gBcDBM6A8Ng6GhNzD0hoZuH9pDWOxKFrswMANef+MKb7ujxfe9wRJFDeaXGrR7FTo937F2X9MdSHoDmYN7EBqGYUJiLFoB/SW+eNeXp1vt6N+99s5X6W6398F6vfY/H8AH/VWkMD98/PCDHzh+6N5NU7UO1B2YhXRQFkKkT4UQAmSCFKCkyyIqZfFUQkVLlnpVPvq1HXz1qTavunaN971+jWv3dJmZrLG8VqPTD+j1vRTYyj1DwTCSRLEgjt1Sb9O7SEmL1lDxoVY1TDcitm/qEdPl8NmIj91b4djpOpNBlZddrbntujaPvtji7oeb3Hp5hZ1be/zx1wRKBDQbEWvdIcaCEjDX7NHu+Ji4yttedYGPfqHG3oUKb7m1Rxgtc+/+GaKkwsuv3sRbXtbm8ktafPXJHs+ervHMcZ8d05LppqAWCHzP3YRSgBAWY8EYSxSnN2tkGUap1AuhH0JnIFgdClY6IPSAG65Y433fscYrr06YbVRZbdVZ61Tp9n26fS8FtqLbl/SGkv4wu3EMgzAhjBxJmAQ6fVg9tsSphbs3tXvmA2/6jlfahcXVD22em/qfA+BPPPQbXHvZDtoLn/7BQX/4q8tnXpyt6A6zUz5RDHHKQEoKhHBdMVIIpJQO1AKUFEhp0MrgKYuvDRUtWB0oVlpTfPyeOo881+X269d43xvWuHFvi5mkShwH9AYVun2P/lATRooolsSJJDECY0W+OgS+oVaJCfwQ3xtydnnI5x6XHDnjc/zMFMoE7N3qc9Uexc1XtlHBIvuPNtg+WeOaS2HL3Cor7SbXbpfExvLFxwKGPclkPeZNLx/w2XsjTs032HeZx/m1Ac8f87hk8xTX71nkgWc7PPS8YBj6XLlnmisvCbhyR4ej51c4chYeO1jj8LE6NS0ItKQeWCoeSOmCKmvdzRonEMYQJoLuUNAeCNoRhCbG2AG3XN7mfd/R5lXXJmydDugPJlhuVej0AroDn14K7F6qt3uDErjDhGHK3mHk3Ca3Ajq5cn5llY/82dc2PXHwwq9W6/X45379ro/U6if4mf/lx//2Avy9/+z/4ebb9vPFu+z37Zk98Z8qnJusegEzExUGoSWMVPqUaCVRCrQSKOUAr6Ry75VBqQRPC3zP4HuWwLPU/ITJiqAz9FhtT/GJ+5p87ZkBm6d6vOfOFldeMmDQ73LNHsslWxTDyCNJFImR2Azc0uDphJMLluPzgrW+4TMP1Di7NIUNPaYqim0zml1bNJduh2v2tjFyid/9bJ2VlQluvVJzzd4WX31GIGKPTVOSei2mF/lIK8FKlPZpDQQLK4KrbY07b+7w4JNVts363HrNND/01iU+/IUOjx2q0x14LK812LOtyr6tPV5+RYd3vrrDuZUVPvNAwHIv4OR5j7NnfTzliEAgMNaSGIiMJYkNUzMR113dYziMuPKSIe+6c8imCcV0IyCKKpxfrNDt+/SHHr2Bpj/MgJ3q7aFgMCSXJIOhIYwMw8gyjEyqwy1hAmEE/UhzZrXFw4cfmb3tpk3/6R1vnIp+9L3X/ImNfhHh/au/fQD/3z/wMX7tp98j3v4Tv/1ubV74vfe/8dna62+qYDFobfGHHoPQYxgpvFCjlUIri5YSpSRKOrBrJdGpNvY8g68Tx+CepRpZaqFlopIwVRX0QkknrHP8TJ1f+ZNpMDEijrn5uh57toTEcRa4uiSOFAKpBNrzOXTK58CRCvWKpuFLZmuCuRnJpmnNtjnFrq0J+3atkYhl/vMnm5w8NcmtV3hcuTuhH3d4eH/AZNVjZsIy2QipVZ0UMkbSGihWupblVkKrW+WV16zx+IEeB08pJpsVXn71JD/6tmV+81Pw5JE63b5lraNZWGmyZbbGpqkBu2YG/It392jWWjx7HA6dlnieRSmLEAYXmTs2j2PYvSXh9mtjksgjigOsrTEIPeaXHKj7Q80gVLl864eCQQruQZg5Wo61w9A4oEeFBMo0/zAWDCLohJKVULDSiok6T07eftXk79nBSvz5D/6rjy8d22JnL/2xvz0A/9lf/Rg7t0yqf/Lzf/iOVqv1ka89ulrpduvs3Nzh8u0JvpfQ1QGel+CHHkNt8LTGCyWeVujQMbqvpQO2Fi7N7kmGniQIE4aRpRoZxyahpRnDMDIMYwhjwSCSDJOAKKlw8EidZw5CYi0O2k76eBJ85Wo+GgFcsxWaVZioS6YaiplJzaZp2LllyNa5NSK7wn/+5ARHj01w06WKS3dI9u5Y5evPxywsT3DzHslU01Dx+wQywCpBnEiEtcRJyGq3wsKyx01XVrnhig4PPFlh85SgVmlw0xWGn3zHMv/pU4bnzzZY6xrWOorFVc3sZJ2pZpWp5gTNWsRcPWLXTSGBF+PpGKUSZOpAWdxNFUWKC4uaKFZEsVsph+mKOQwlw0gyDCWDUDIMhQtQQ8EwtE6KRA7Y2fkdRtnT1dYMIwfsfiRox5K1IfT6ITfsXuYn373E7tqF2sLx6Y/c8obfMkbu+uT8kQ8lWy774W9/gP+H3/pTJpueOnl+/l2nT537g/0HT1Yq9SnuelTjKfiFH2lxxfYET9fo9BM8naCVh6cMnlZ4oUUrhactQ23TGhLBIBQEnmDoO0kzDA1RZAljpwmjuPRMIE4sSWJIDE5vG3JwC4FbISTOwdGCSiCoBZJ6TTFRk0xNCDZNx+za0qNRX+OTD4bcu3+ataUm1+1U7NrqcfklAxKxxhcfq1H3NHNTikZtwP6juI77Syy9oeL6yyOu22uZP5+wuOrTH9R488s63P9sn8NnFfWqJPCbXHup4Rd+cJl7nu/z2XtmWW5bdm1KWG1pJpuKibpHo+ZRr1oqgSHwDYFO0MpJLSndNbAWl7AygthI4kQQx4IoloSxIIokw8g5L2EknKYOYRhlAWQK7IyxQ6e5hxEMIsEwFvQjQScSdGJBa2gw4YAbLlnm539kmTfdIlhtT9HunKiIoPaHplv7B5Hd9OcvPPHR5Opb3vvtDfDAs7LVar93/tzZ3z5x/HhlU8NDDwUrNPjLhyVhqPmeO1u8684WsxMRnX4FTwcMvQQv1Hg6wfM0fqjwtSLwHNsEfnpR8qciiiGMpHMQ4sL2ixNDkjh3IbGpU5K6JUIIF7xKgdYCXwsCX1IJJPWqoFmzTDYMm6eHzE11iO0aH79f8uEvzLCpUuG6nYKdWz12bzPs2rrKJx+2rKxUuHKLYqoJjVrEwgnJhdUAf49jurkJyeQkHD5uWW0b5pcqXL67wutu7vC5+yrMNCDwfZSc5Nq9gh97ywU8eYG/fGCKF85W2NyO2DQZM1FXNKqKWlVSDTSBD4EHWlsHcgFSlECOu7ETA0kiiBNSoEOUOJkRRYkjhRTQUWwIY6exs2ByGKUWZCwYxtCLpAN2CP1BRDPo8L3ftci7X9PldTcoVtsNOr0avWGFzvLZivEavxfUAi2l/lMcz3x7AvwTf/GXGJP84MOPP//rp06dak43FJ2BTb+TZFXU+NLjW3j4+Qrzq0v843d0mG6GVIMq7V4FT/v4nocfJvhaE3jZ0ipdMBpLB+7YgTxKWSmOIUogSaN6Y1zAZYzNejhTcDuAKyVSXe8AUgmgVjE0qjGTjZi5yT6zU2s8eDDkD++ucuj4JLsnPPZugR1bfHZshn072/TiNo8eaFJVHnNTiskGTDaGTE3E+L5GCHdz9Yc+K+2ItZ6l1Y25sOqzc0uDV1x5gbsf63HobJNaEOEpHyEm2Ltd8fffsMQt+y7wh3c3ePS5SZa7mk3NmMlaTK0iqVYUgScIPInniTxIl+l3JL2nrbVu9UqBHicmXd1SazE2xIkhjF0JQBTbfEUMY+fKDGLBMBL0Y+hEkk4Cvb4hifrMVNv8xDuX+Rfv7VPxK6y26nT7VXqDgN7Apzv0WV0826w11H+e3nyN/8C9X/jwK1/zlm8/gLfaHaSUP/KpT336A4sXzs9UfJnKA+fVWmuQSFZkhdZA8et/5nHg6Apve3WXO29os3l2SLtTpT/08T2fwNeEUfZUOcCjSBLGMrUXU087IbX+SJlbpr+zyIwiSJkbtHIJE9+zVHxDtRLTqMRMNYdsnW2z0OrxW5/x+OLj06ys1rlsTrBzk2D7Jp8dmwR7tg3Q/hofvVdz7HSdKzZLphqSiXqClEPOLloCLZHCJa/CSLNrU5vHSGj3FKtty8JKlSt2VHjnnS3+/Ks+JxYCPB0hhIexdaJYcvOeVXb9vTZffLLHH39xmidO1Nk+JZitJ9QrCRXfyTbfc7GKVqQWq8hrMiw2zQrjnJbEAT4DeZw4Sed8dErATpNHiQO2Y23oRYa4G7Jjts1rbl7ju1/V5U23WBR1llZqDIYVekOf3sCnP/AYDBVRpDh1Zn5GBLt/9Q3f8VbV7bQ/WG80v30Abu0FIPqhQ8899oH5s4c2VfwUfCWpYC0IDFII1oRPZzjFR+8JuGd/m5v2tfl7r+/zllesMTsZ0BsE9Ic+UeQRxh5hpPNAKY5V+m9n2lKSJILEiEJrG0GuSqxjbilcosgliwy+Zwj8hGoQ06gOmZ3s0o/6fHW/5WNfn+DR5yaZ8j2u3W7ZOi3ZPOOzbU6yY3PIpdtXefZEn8/cP8eE0sxNCJp1QbMW0eolfOHhCg3fIoQDVn+oedvtQz7/iKuJaXUNF1Y1OzY1ePsdXR492OHAYZ96EKf5AA9jagxCp/X//utaXLH1Ah+9p81DL0xyarXKlqZgomKp+YaKNvhearFKdyPLrGw+hbpJpZoxxQoXp0B3BAFRIoiSAtiDWNCNBb0EF/OEIfVqj+994yrvfUOLm68wbJry6PWqrHYqDIYBg6HHIPQZpC5NGLrVtz8QPPHUC5s60dQH7rjjlebIydXfv2zX1N9sgC+vrHHkdI9jp6s/cPzY3b/2/DP3zCwtW6SQKGnwlCD2ILBZ2t1ddC0NgZS0vTpn2gHnHqnzyP4uf35dm3e9rsebbh8wM+kzHLpaizD2iCIvdwTiRBHHkthIkqQAuLEpc5uipkwImwaVro5Da4PvJQR+RDUIaVT7JPT5ypOSP/naJM8dn0BEAbunLFsnLbOTirlpny2zkm1zETu3tDm92OF3PlsnHlbZsUMw2dA069CsRQgvpN2vM9mwCCGwFqJYMh0oYhPTiXw6vYTVtuLsYpWrL23w439njV/904CTi3W0itIbQxPHFQahZMtMwM2Xtbnu0i7PnzzLx75e5e4nJjnXqlIPFA0f6p7F1xZPgZYunS/EaHWdAaxxN11iBIl1ibbEOHCHiUsS9RNBP4FBYoniGBOGzFR6vPn1a7zn9R1edW1Ms6KJojoraxUGoU8YeQxT63cQaoahTuMjl1QTCLrdVZ5+6rObLtnW/bVX3v662Nrj/23Yn6FS++ubn/jXCvBer8+Vu2vf/fmvPPKbH/zjB5smHLB7i59bVkqCp8BqkRZNCaSwaAGetARK0FGaXtTkwrDCXz5S497nerz8y13+yfd0uGpnm02TiqbUhJFPGHvEsc5B7sAtSYzEWImryxJ5+t0xt0Epi1YGrWMCP8ZTIe1+xGI74j9+ssLxC1M8eWASa3xmqoJNs5bZCcFMUzEz6bF5RrJlJmb7XI+ZyVW++JThiRcmuW6HYKohadQkzZqhXg0R3pAg0Gjlfr+1kCSS/lDTH0TERtDpGzpdy0rbY365yW37urzi6jU++uUK1RWFlpEDpNXEiU8YSfpDj9nJCrfs7XLLZV0ee805Ti5K/vDuSS6s1TizHOArSd0T+JkMky7wzIk8kyo4Jo+tIDYQGcEwgUEMobGQxBBHKDVk+1Sfa3e56/GyqxKaVU0UNWh1fIZRCuzQI4wVYZrXGIYqL4lI0tXU82D3VsWOzV1052szp480f3N6yytWk7j3mb9OTP61AfzFFw+zY/sW9ZE//OhlTz1zsFmxLSoNTRybdJkFpQSeTXUgrlow18Ex+BIqCvpK0PU8+rFmOaxx9xMTPPhCn3ow5B98Z4tLZmJ2betz2zUdtHAtYkI4ueKykq5W2hVrpeDGIqQr0BpGFksMMub545LHD2o+92iD5081COMaDa2Yq1qm65apmnU+eFMzPaGZmRRsmY7ZNtdn69wq9z435Hc/t4mtk5q5JjTrimZd0KjFVIMhD76oGIQar+5AZa0gjCUVrbjxij6P7J90hU/9hLW2x9JawMLSFD/+lgXOLC3zyNNzeBIQEQaIY52CSNLta6YaFSabdV5xRY/XXNfj7712kYOnDZ9/tMKjB6u8eKxOLDTDoaIXKZSQeY0PZIFnmhOwhthYrDF4ImHCD6kQ8YqbuuzZOmDHbMT73jSk6ivqFU0Y1Wh1HKijSKfyUaWOls6z0tlrlMZKWNDKopSg02vSPRFycv6R5symlcve8OZ3qRMnjiS7d1/2Nwfgjz/1PEPR9B9/4vH3+zr59eFglU3TvovlMsYwAq2c7rMpfYg80HMlqVpZvMQxeS2BgRb0E50+K3Q6Cb/20SlsHLF5bsDVOwfMTMS863V9dm4KiSKR6m0JJeYm1Z9SGoQUfOKeKs8erSO05uS5GmcXalSqiolAMFm3NCuGZgUaVcFETdFsKKYamplJmJ2M2TwzYPumNold4xP3N+l361y+w9KsKRo1SaNqaFRiPC/ki49UGPYk3ibXLZpJlHpV8eaX97nvKUN3KOn2E9o9zVpHM79c46o9Dd71qjZPPl/j5EoDJQ0QpXrZI0ocKw5CSXegaXV9GtUa9eqQq3YMuHXfgNMXWpw4v4b2Ep45pvnzr9cQKi1cE3L0IloDGLCWKEzYtTnmPa/rM9tM2LfLsnkGkthjGDaIY9c1FcXuGceaKHFyMYoUYayIIunipNjd0FGcARySdOWwMbS6EmMqDJdXUZXo15995tHe9Tds/fD508+EWy+54W8GwI8eP4XnLVyxtnzutw4feFJWfYVWkiSxWGMx1mIkiCTFm7BpdA8qdhpRK+tYPBFE2llUVQONxBImgqERDBOPofGIDSx2m3z9WYMl4dOPRgiRuItk3UWC1CxxXmBakSiRShFHGmk0npY0AtgzZ6l7hlpgqAVQCwT1qqRRVTRrmomGZKoJMxMxc1NDts11SFjlP/5FhQf2b2LvDEzVUvauSRrVmFo1pF7rU63WCJREyVSD4+RAFHkM+oL+MKEzVHQHhk7fuJa5us+ZhQleefWQn3z3Ar/x55pTawFCGKyNMIklij3CSDIYuhrtRl9Tr/jUqhVqQY1KENGohtx8eYjvRbzs8pj3vb6HVnGaBDKu3r4sylNJZ4xECEngKcAFiMur2tXtJFnM416dPHQFa1HsYqEs6I8i6QLV2AX/UZJVbabBf5qAig2EoeXBhx+TjZr5rUbQub/XHz7314HN/58B/qUvfoa5mWp1/wtH3/H8cy8KLSSBL5CxIVGpDWUtxqSJBymQ0iLTwCeWrvrMZRKta8FKIFZpVG9SP9sIYmOJUo0YG0lkJYnRRCZIWcGOHFuepRSghXCZSgWVqqWiLRWVEHgQaKj4lmogqPqSWlVSq2gH8LpgsmGYbsbMTA7ZNN1l26Zlfvdzhj++ezOXTCpmG4ZmXdGoKeo1qFUTGtWI88uGo+cDKr5bpSCr9BMMQs2eLYYtswPaA5/+wKYsLlnraBrVCo3aJO97/QWOnZ/n9z6zHS01FkNiEncuYs0wVPRDVxTVq0hqA0018KgGbqZJ4Mf4XpImzBK0dI0SUrp0vkif5CurSEEuaJm0ytK4uMbFN0WsE5de40Q4JyuVIQ7wIq8OdT9zFq5z0lxQaxJ3jaNY4GnF/v3Pi8WV8B2TM7uPfuIvPtn/nne+46UFeL2m/OXlhZ+OBos/PVmPpfvSIIQrE1UpaB3ALTIFupIQC4FKge6SDu7VS62qJLWvMv88sS4Dl2TJCgvGijxQKmtuIM3kud+npUFLp/08BZ4SeNo631gLKoGk4kuqgaJaUTSqkkbNMlFPmGzETDeHzE712Ll5mUdfHPLRe7YxVQnY3DA0a8KBuyqpVwz1SkyjNuTRQ/DMwRqXzdlU9xZp8/5Q8bJ9lst39nnsuUl6Q0t/kNDt6xTkHrVKlWplku999QrPvHiBRw5sAaswxjUYxLEljmxeT9IfamoDS7WiqPiGwPcI/IRAG7RO8LQrMVbKuC1YpLsmCIsot5PkwblIz28GctdQkb83IgW5yEGdvU9SizHOP2fX173Pr2tSePCJgZPnhrI9PP9/XWqrfr1e+yUgfMkAbuKODMP+z9//1T/551HvrN+oeQxCV70mY4FKBIm0xMZikvSEmpS9kwz8uL9nLNpkd7T7bNIT4WysItXurD/y5E0p8z6y4map6iyQVTLNWCpKRVsu+xf4ikqgqAaCWlXQqFqatYSJesxkY8jMRJ9tc6s8cqjPz//BZk6dmeTSWcNkDZpVRb2qqFegXkmoViJ8b0BrYFFS4SmLlMWRZcCIYp9mNaIXG3pDtz9Pb5DQ6UlaVUWtE1AJGuzeEvEL72/xrz8iefjAZiwKYw1JYoiTOE2lKwahoh9IqkNFxZcEviXwFYE2eJ7z+11w55wkKS0qlSlC2HUNuiaNY4wpWD2rm0+MwOT5BucMxRl4E+FW3KQAc/l9BuzE2PTvu3IKlzVNOHT4tB+a6r/8x//wB7zVdu9fTTVrf+V0/l8Z4DZZBRv+Um/xrn9W4VBlasKj1XFLXYhjq0S6LyaNwKRAV8aSSItRNv2CTn8nOahtAeok02kO3Dlbp2Wg2ZMxgKeyuwhi0yYJV19OUW6rXU2L7ykqgRvJUA0s9YqhUUto1iImGiHTzT7b5tZ45GCPf/3hWQ6dmmbXtHNYGlVJvSYde1cttUpCrRIRJSF/9OUGUik8aVGisAmNFemy7vH337jKl54I6YQBvRTg3b6i01W0Ak3FDwi8JvsuifnFH17m5z4seOi5zRgrSYxJgeEKzYahYVhx5a5BIKh4gsB3mU1f2zxjq5VBKrdySmER2WuZIWwGcnJGzyYMmOx9WriWpMm0JBF5nUtW1LYe1OWV2V3vrF4oiiyD0NIPBfc9dqLiT977v/7Y979enF9s/8zWub9apvOvDPBDRw+BNa+4cOLrVWyEp6ZTf9mdFITI2TP70sqk8kLZovhJ2dQZcK/lupGs/SpL1mSMbVLKLjN39sgALgUI6eaHyBJ7a53VnUg8T7r6DV9QCdzMk1qQUK86cDfrIZPNPnOTLR492OPnf3+a50/OsmNKMFMvSZOKpl5x9SvVSkw1CPG8IWeXp/CUQEmT2nJFkJkkkjhWbJ2yxHFEO6rQT9vA+oOEzkBS7SkqvofvVfD0BFfuiPnFH1rkZz8Ej7ywicRIB4zEEsVJyuSGYWCohJKBr3IJ5nngaSfRXJ2KRUuQMnOzbF6YNYZxJ1fIVk2Rk461Gbjdz5MEEivylTd7mhJjZ9fUSRKbv88K47L6ofagz8PP3F/9O6/f/gop5TeD418vwD//+S+iIq/2M7/xGf/sguI9d/rMNhXGOHBp5U6PFAJpQBonEbI73qSMnlhRCkLBZkDPPlv3fkSOpMumvcixSVEUUUnpgtoM3Eq6WduFPIGKB4FvqFYs1cDp51o1olkLmaz3mZ1q8cThAT/3wSn2n5xj26Rirm6YqAoaFUmtoqhVBdWKuzlcqj/kkQOC7sCnokjT5W5Vy5oQEiOIYk29orjtmg6PPt+kFzmZ0h8m9PqKTqAIfIXv+al+nuSqSwy//KMX+Kn/Cg8d2ERkJJExabN00YAw9CWBbxx7e0UdvVbZk1SmFDJOplnejUFObvEW18NZfjZj83y1LQE7I6sU3GUic8+M0V0hnJRQCyS3XSV5z5vmSZY+7Q9rf6/24P139+541Rv/xwP8zOlTbN+xY/KTn/zU7+yajl/doMLySoDGlWlmbKBxIJYGVMkWyuSHzZY25Vjd5kxg81qVvF4ifbXW5syNtaO6W7iCIiFTcKdFRioHeJpo0o7JfA98z1Dx0wKrIKGayotGdchEo89Uo83TR4b83AeneObEJrZMauZqhokq1CuCelVRqypqOXsnVIKYRm3Avc/4rLUqTE0VafIMMNlyHiWKTTOK19/Q5d7HjeuiCU0J5JKKJ6l4Gk/7aF1FSsNVl1g+8KMX+Kn/anno0CYio4myCsDE5kweRDKvLvS1RKcNI1oKlM7ODfnx5TchWf7C5lDPEkLjT1N6Nfk1JAdvdj1NibjyV1MiMOOup1KCiYZgplHnwJEalVrw6u27jnzodW942z88derU2s6dO//HAnxpcYG1teWfWrpw5r2B7LJza0AtEJgUbhkbGGndnS0LWZEVPuXvx3+Wa72MrdOlEFtikBKlUJSCZgklpyeLGm+liopBrXD1Gdriea6xuOIbKn5CtRJTq0TUK0MatQHTEy2efHHIT//XWZ4+tplNkx6bagkTNZuCO2XviqQaOPavBDG1ICQ2QzphgFASL2PwXIOL9EZ3lloUedT9gSsXCCtMZSAfJPR8x+CBL12Hk842oLVcu9vyq/9wgf/jtw0PHdxMZDTDRBAmJmVxQSUyBJ7F9wS+NunqJUt9rjI9PyKXdLIUv0AB+JFYZwzcOQnllaIleVkiK2PKktOWVuXi38+uX29oOL2giJMVOsPj792ybf/ROIp+9n8og3fWTlOf2Lbr85/5w+sGvXlmpzRCuC08fE1anlkkDwqAlrtKbA5mF507Vh9ng1yKmHRZtMW/mZ/qjLXLQWW23KYdOioNprS2eMoB29c2rx6seEmqmyOqlSFTzR4T9Q6PHIj5md+d5aljm5mb0MxVEyYqlkYK7mrF2YkZuKtBQsWPadZDDpyw3PNkHV9KPOU6a8p73WQrWZQoYqO58+aIyy7tcvRUlbkaDEIXbLmJXikLa4XWXmqrOu/6ml3wyz+2xM/+V8P9z88xiKoME0kYW2qxkyyBhwO5zlYvk/e2SpXkK5ySogRwUQI56/RKAfIS8YystmWJmV37EvhNZus6oJczztJChMEOnNzCWo4cP4vyHr/u/T/0/l0vHj118oq93zqLf8sAP3N2gX4ysfvMC4//B5Esf3dVdwnqGktmN6VjC2RhN41rZnc3l4MUCuY2hS2V/f1xp6R0jskqnNeBW1ikymxBBwatUtbWbsSE5xkCzxD4MRU/phKE1CpDpid6rHZ63Pcc/PKfbOHZI7PMpuCerFoaVUG9InKv3DkvxrG37wBeDYaEScKgX6Gi3E0mM8Dk5yW13BJJHGun5fWQYWjpR6IEcIPvJ/iexvMkWimU9HKAI+D6PYJf/oer/Nqfxjx0cIZzrSaDumQysTRiSyWdOBB4NvX+MyfF5uydSZUM4PnxpgddxrktX4cM4IyC3ZSBXyK0/PPItR2VmlKkN3/s2u4Ahq0Otcbydz/+2GPJa+646X9dWlw4MTu3+a8X4GvLp/D86q2nTx1+x8L5Y9SrmsQmefNAdnB5+jf/4qJ0EkRpyRKluz4LXIpsXxngxWMkHZFfBDfuIeuttHl9i3N1HHNrbfC0wc/LYx24Az8F93SXxdU+H/ijGp95eI6l7hRzE5K5SgruitPdtTSwrAaSWmBTBnfauxKEQMjXnvZZjXxmAkbqsRHlJd3p8DDSNAPN627q8cihkE4UMBGZfC6jP3S16r6W+aQBJT03HCnNQF55ieQ3/kmbzz/S55d+fzNnlqboT2omfUEjNtRiCCI3etlXbqCRlwWaUuRBcPZaDtTzG1MUAM+BXrpOYEuSxY6Qk9ngM6RuG6PX2K3IxbXFOgv5hQOH2b1zyzumJut/1Ov1T/y1Mng47OH51cuPH37wn3ZX9lOvCbQymCxzaMsnweZVc6N3ucgDCcfi2ZcWYydElE7aOMAz3U3+6upabO4CZCUAzgZzwNbKgdvTroPf92IqfkTgRzSqfbTuce8zCR/6QpPPPbCJ0DTZ1BTMVpwscRZg5pOr9ClS5i6zd4TWQx58YZJeqNlas+kNN87gaaBpXP1GxVO84qo+sXEA70eCQeaGhG7kmqczi1OlQHTZx7RsjdlJwXtf26URnOP3v9DnvhdmmI+q9CqSZmypa+tArtM4JLV03Q0jCmJI45esHktSsPj4joJlkINdT0xlcJd+bkuydfTfKK5rPsEo+3OruOfB/ey59LJ/+p3f8cqnOt3e4ca3MBLumwK83z7O4unP4wcT2+Lu4dc0/AUSrzKqk8fKUrP/ZsdnrEi/rBi5ky1iw/cFsMXYN89OgB2TJjb3cZU0KcBNWvOdglu5WozAi/D9iIoXUqsN8P0ef3K35lf+2yaOLk7jBRW2NATTQUIzsNQDqKcd9tXAZTsraULI1a8k6Urg5MlSO6Eb+vhK4UubB5gUXJB7yUma3g5jj6o3YMtkn7Veg34k0nFrLlbwvCS1+VRqd6rcvy4CV1f5+N2v6vKyqxf55T8c8MdfnGMlrtMLPOqepKldDU6gwVfkzRA6S/pI8hsyywLn53oDgI+AvXTdRsBcfm9LhkH5Rhi7YcqSv5C3gvmTq3z1wQOvWWol25ZXWoefO3SKa/d9Yz3+zRncJsztuHN3b3X/78bdp2k2YuI4JE5kLi3ySgZbAHN0CRNjIC4HjWLsC3/jic5ZStnZgbbQ3anednMLS8ytEgdyL8bXTpIE/pDA63NiIeb3Pl/nU/fPcGxhimbNY7oCU0FCI7Bp6j0Dt0zBLfOkUCXV3oHvbpxmfcgnH9QcPlmlotwql7eLUaA8D7it0+FRrLlyF7z1ZR0+dNcM3ZqmGVkGkSUI07hBGbSW6WQvSiD3StfKrQo7ZyU/8/09rttzhv/6uWmOzU+wElfpeZq6EtRSoPvSuhsndZkKFrd5sC5EuilM2UIch8jYhxFNnv4s091scAOUGbzs1ozIOQP9WPPlBw9x841X/+4733bHdy4ud76pVPmGALdmACKgv3rfjqj7xF5pl6gGVWIVERuJSaTr+U8ZaRSwIgd8/r7M2LkUKS46XBzg2SjlQpaU5Uk6bTatsVAyY+8ET8Wuc8eLCYIhvh7SSUJ+6+M+v//5LZxdnsSoKtMTimnfMuEbailz1/L0vUzrVFJpknrnObh9l70cRiGHzwR0w4CpIHVxsqRT5kpkF9mWalIiTbOu2bMjRAUDOmGDvi+opjNI/FReealE0ZnrIdRFglfF3ESPH//uHu+4c57f/3yb3/vEDEv9On1doaIVNS2oKksQW8fm0kkVLQtbM1sVcyZnVB5uiJlxp2UMzOOgzgkxvQkY+3uZyxanrtP8fJsvPnRwr65UdrzrTTef6A0jaoHHxR7fEOC9zgWkbs5FcfXjrcXHPaUlQsYOQCZjcJFmt7KDFCMHXQawA3UpE1lm8vwmGAM2pNVumTazaVA5zt4mn1mopAO3Vgm+F1HxQ3wvpDUIefBZyZ/c3eQT988wSBr4vs+ML5j0DXXfUgssNb8AdyWQBIEkSKWJSwylzkQKcN9zmc/j5y33PVEjjDyCul0XYGaPzCLNSlHDSOF5mte/rMNHv9Ll0Jk6/YobzTD0LH4MXmTwQpOOsROpjJDFcJ8M4JnHbiS1QLN5ss//8b09rto55I/vbvD4gQkW+3UGysfzNBUtqEoIZGqjZvaqTDPRgpEnGwF9A5drFOhiHWjXgb0E8MJlSb+PLdrplNZ86Z6nve/7rls+vrLaumFptbP4jTD8DQFeayrZb++/denMvRNxnBAECcIaEu0ujEmHVhZAzxi8ALmrGyl/QTHyGcSIDht/jAK8VBgkTMHe0qR2YOIArpJcjmgd0epGPPCc4A/uanL3kxOstBrIaoVGVTHpWZq+oeZZar6l6pOytmPuaiCp+IqKL6j4pBV6JgW3cSuDH6P0kBfPwNlWxSVWUn07mjjJCTztg0xLTo0bgLS5Kbj8kj77T8X0Ii8diQZ+iAOfSlKJkiVqQI515mQ3T2ZDRomrD3/P6/u86eWrfPWpDh/5YpPHDzRZ7tRoSZ+ur/GVwJeCQLrWQS3dLnVKlBhdpGW/cFFdXk5TjFqKbMDS64FvMs09Dm4LcXryKlHMRz7+9Ym1bnzrdVdfdhffYHjQNwT48TOLAXHy2yRP1Gcmuhir8ll3JutaT0GeA92KnJkLtr44q5etvxFQ5x9sakEWxfliBNgmfU1QMsHP3AwZsdiJufcJzRceaPCZ+ya40K4jKhW8hkdTw4TnOnmqHqnsgKov0qdMS05T3e0Lgoy9M4DrGN+Pqfgh1kZ87cmAk+erzE4LPGmKBo+xbnYsaf1GWm6aKPpDj12bBa+/qcenHg7pRh79SFDxLH7sWHwY2dIqpXK/GiFHZIp7yqJRwTi/vRoMec9r+3zHy5b59P0dPv9AjXufbXChVaMvfPq+RnsKLQSeFHhS4gmbSi3rHBZKErEE8I0USxngG7N3KUdiswboMrBd8ZYDd1ZkZ2knhkcPHKr/w7//st/2zKmrgP5fCeB/+tljDIYtOhdafODHOsShT5RokkSm4FYpqGVeM2ytHNHX2XMc0GWtnadpxxCeWY45qPNXB2yRAlzrBF9HVCoRg2HCobNw4pziY1+e4K7Hm1xYrYNXQTc9akrS8CwNbah6lqoHFc+Bu+K5mYSuzFSWniL9c5uC3OQg9z3Xnnb0nGH/8QA8L13mbSlFL0aorsxWSdocECdunPO1e4ZcvaPLwbM1+hVBLRYEkWWoSK09MzJOurAgC61SBGYu6DRGpdMH3BiHanXID755yNtuW+NLT3T5s6/UOHGuwsGzNcK1gDjQDLRGKunS+eCm/KYBZxaEKlHKR2xETqXvCiXpgRgBcwbwhDSrDUXdv03SGqTENQskMSoe8r7XLrBr4vnJuS3v+77BwH6oUtk4KLgowK09KobD/j/9s4/99uy9xy2PH7S8bF8P7bu+xiRShKEiMcqNaDAy1+LGyhGAU9LeZSehXMiTDeTJTksWTAIIYQrWFiYFeEIQuEmqcZIwvwxf/rrm6Jkq9zxa5exqlaPn6hAEqJqmohV1balr41wEzxJoNzg+8EhBnD1l+lQpwEk1dwpuLyHwHHu7Gyvk+CIcOFHDk6P2YC5RKOrB86U4bx6QaZ+jx9W7+ly+qcdzx2J6sUcjEgw1+OlMQFUCuJQCIeUIk1NmQ1OSQUn6OxJFlHgMPZ9mNeTvv3HIq65rc3a1zdce8zl2OuBLT9Y4t1wh6XsYqYl8hXBp6nxTAreqikKybMDmmRzLb7wxNi8Ab9N8STZaLzPLDdjY7YkeJQgdIVXErVf3mJmM+dCnj01+7zu7P+l50e+Xf9W3BPCnn/k8cRy/9+T88fozh33+l383xzV7Ql5z84Cr98RsnYzYu3uItq651KazSBKjRpjbMbXIA8xCm23scefgxo4ElE6KOH3tBQlRYjl2WrD/mOLLj9Z47rjPC8ertIcBwzAAz0c1Pdehr6CmDdWSDxzorE4jK5t1deFBKkt8X+H7Mr0BbKG9vSQduu90fsWPsCZkYUUytAFaS3zpZr3kCZNRAs9BntjRfscw9hBo5qZDpBrQjTx6WjinIyoKxrQyIxlImWdGgGzYESK9JpkMKnoovUTl4yd6Q58tUyE7N0fcfOmQftjnHxxv8dwJny8/UmH/8QrHTlWIYgWBwkqFEZKRbFAG8axAq3RRsyRQfrFH/eQCzKSANilbWwORQZOwd/eQ7VMRV+4ZcufNQ67ZHdHtSz794PN87u4/QYqLC5EN/+RPPn4X9z3WVnc/8qx4+JmtnF9JsEnCs0djvvRoyIQXs3N7yLX7hrzxZUNee1MExpWhVuukGlwirBvNW7A4WJvtszH2S9PMlQODG4ovpEVIQxRaegP3ZyfOSP707oBepHj6hQpHTgcsdX2GiQ/aB+WhmgpfCqoKaspSUbhxZiotPFKOtX1PuKRHGdyexE9lSeBD4JO6Ji5l7mmD78VpRjSiWgm5sJrw5YcatDoBUxMCnXrxsoSD9Stkej1zLS4ZDhWzM4o33TbgS4/3OdWq0/ekkykavNjiRZlnnXrsMnF2IeVZJzL/Hcbq0u9wQPcTRaIVsaeIEk0UeamVGlH3I151bcwrrhry9tcMePG05JkDHv1Q8cdfrnF83gMh6fU1SajSdKfE6gLgdqQ1qPSF8+xkkfkRMYh897yEas0l5ASG190x5I23DLhmX8iubQlNTzDbkFiriSLN9pmQ1cFR0Zi+Q73jwBfjvVe9+VsDuLUwPdH8rcXz0fXdQRVRAWsSjIlZ7EcsdhKOr8Y89FzMx78aMTcVY43lpiuGvOcNA5LY9dnNTRpuvHZIrWLBiPWByLr8rANFqyd45inNcttV7T16wOOz91cYRIpBpDg/72OEJrIeRnigNSLQaCnxlaAqLRVlCRQEyhIo62rAder56oK5/awvMwe3Sns0Rc7evmfw/axAK8nZ2/cjlAr5+lOKTz3cQPna2W0j+vviDJ554U6HS6JEMRh4vO32Pp95sM0ff22CblyhnupwL9PhUZaUsXm3kBDZnZSdZ1nS+iWAm7QLXjsm97Qi1hodJw7oKkEpN0h/qhJz+76Y2/ZFWDHkXa/tMYjcOLe/vD/gsQM+1UCw1FY887xPuysR454oG110V1pbr1huvCFkdjJxjS+J4d1vGHDjZTHWwtykYXoSJAqsT5Iouj1NnLinlj4Vaa/3/KnfArvh5j/rAL6wtMammYnm//2bn9q31I1VoB3r9o0b0WCVBzbBJAlDE7PQNiysJYDhxdMJn/26W25sYpiYSrj1+ohGxWBMeVna6CHSia+Cta7i8f0+7ZZCasnQSIZWO2YSGjcXWCOkRkqJJwUV5bzcQBp8WQKzLGb0OZCLouFBu0aArPG4DG7H8GlZrZcxeFJ6xgQ6wtqQs0s+4bBCMCHx07S3SqvyRrKYY0VoWelCxqyJUYSRx1RDcclsiC8G9OOAfiyoajcEM6shyRJaSpbLW2X+u7LV0iV/TKlc2aQ9k4U0iuMkTYqptMQhJooTVOTGTGiVIFXMjlmTrhiGq3YOCG0fqQ2tluDx/R5rPSebRkoQLwJyY6BeMdx6fcTkpMXGTsZWpECJzH72iEOFSUdVGKvSY1bEiSaKJb7fURPVxX0zO7+/aZPVtlBT3xjgJ84uc+5C61cfeOr4axdWelQ8hbIWX0JoBKHVxEa7hoasDcc6gMfW0DIGSEBZ2muW8183BW1dtNFstPjYConJtlwgfRWqCHKkRAk3cy+QLuXsS5tuQWLT+ScF42Xg9rTrqHdb75GD27V1uS1RAl/ga/ISU8fgKYtrtyeQp2M8LyIIIk4vGf7wS3XQPp4URYCZyxOxjsHL2bpsSGh24ZLEgfx9b+rz6Xv7vLDQoJt41GK3Ka2rArRFJ066J0/+u/LVsJRJNrJU4JU9TV4Lo7XCSxIiZdIdNlSaOEsKC1YluXsl03hIC4uwCbM1y3e90oAweexE/rqRPsuMBoFNfEwk8pghSiRDW8R0hR2t8nilnIORdhUzfP61cf/Yr1ob/8Q3ZfDf/KOvIaXwz55ZoO65ajMLBDYdxGPToNYKIqNIpMKgiwg4E5dp8JB4Jc31DdlblF7TnY7TId5ZtK4FeCJlZeGkgJaUXrOm2lIhkaY0B8WB3NdFV30BcJnLlsC3eUub75vS4JzY7SPkOfdEypCT84LFdgWhNYFkRJ7I0tdKv+WIk1Aey1AEgoow9phpDtm1pc/B+SH9RDNIIEgEXmLx4lSHx+TOUpFZVKNkkd5QbtJu1tAtStLIoBNDoiRKZ9uXZ0yeDQkqA9ugRDYZy+RJt3KOApFGAcKyEcSLLPaoCWHKHn5mPRtJknr6We2OLQ1XFULQXl0E+SnfbSb2TQB++MhJhBAkwz4N3zUw5J5tWhdQKYE9tumkKStIKHXlpKydD0q2674iIxF3upRnjOf8VtACtLDpMwVtKgGy9/lr2mCg81JQ8gZbXwkH9hFwS/fqZ0DPgk/y7Qn9tEkikyiedvrU9yNiIj7/YJWFxSrehMLPpIm0ow7K+EUuafBiBEOR9BkM3QTbt9zR5cFnB7TjCj2tqcaGME2nK1kURBVZRkPROZQFmiK/fs46TGeqWEiU+53aCGIl0IlMd7FzZQ8Z0EcTajYf+yaFSQu+bAns7hZ2h1HUD418fVtcdJe8SS3m9Fzkw1PzEdiilHspEo0uBahITASrJzfk0BGA/+mff4lmo/LKj33qvpfFazFJyt5JxjLW5HPlEpkC3hbDFOMswZAC3FiR16ZcVJyUALAukQB5Fk2mmTSdV7xlQzuL4Z3ZKIQysPM5KArXj7gRwLOAM9PdOpMlNtXbo7XkvhfheyHzLcOTR6qgfXQqT3SpQGkk21cOMhF5J0vW1pf54ZknHkUeN102ZGayT2u1Ri9W1BR4sfsuKkmHJ0VlgKc5g/wXyfVVnMYWQFHuenpGkChJogyJEsQpyGNZFK/J1BnKqjVlCnAh7UiWeWRSVlmKi9GClbxkY+y9sUX5R5Y8TEwJ2KUpW1lFJlYytLMv27Tz9a88fuitD+zZ96aNAW5NxKDPdzUq5saKDkFqN6sim2dSHqGWDuJx4LcFoEtlklmW6psBPHdSR4CRtsEJSiWchfaUImtJK4qDlCKdUpvNIheovHulAHbWfOvYO9XcmlxvZ5agY+wC3F6qv7WOEER87v6AB59rIAONL4Wbv51XEBbfp8j0jWczy6PRsgvnkmf9gcdt1/R566s6/N7nGoRJQDeRVBLLME5XqvKKIQxCypTFy7/qYkwORst0jIMgUcaxeAZuJdBSpgOCCubOQT5SMpE2X+RALzKclAu8x1exkbqkDUbG5fq7BGorMElpdFwsGYSWOt6Njf7wu0xiHtiQwVeWz9Fo1N/0la987ftNtEKzptxk0HS2YDHIJatYSzulSwxkKPfllez9DQBetkrLTCcoQFGuS86Ar0ozxQugkzI4+XgILUssnnbDeGoU3G6cwhhzpz2bftre5ums4SAuPSNCIv7sa00SG6Dy7GU5wCz6GjNnY0SDI0ozX1J2Su1CF2xqBB7veV2PP/r8kDUT0U8q9BOBF5OzuJQWGYu08MykduG4FpUU1qQogVyQaNf5HiuBpwyJdoSmE0kiLVIZl66XxgX3GaDzrHJ6DDACcEpAv9ijnPjLK03z3tyCoUcAXpqL6Grp3Wa150+s0Rfd73/5K+6858Sps1/avXP7KMAHgxAp1WWrrfbeVquDp3U+Y2R8CKYxYGSaibNZA3GpJ4+s3+7i8iQPg8Y6RiSj7Ddel1x0nmSfi9ke2Z405S3AR4bdpMDWShROSm4Huo5715hsU+YuAkxdYu/AC3nyiOTwuQpWeSgp8aVBl2/K1CbMHcIxFyV7GlvsI1T41Q7kUeyxd1vE1Zd2efjFKpHy6ceCinQDSnUs0iKotAsnTnU4EicOx2WRGAtuCzbX6ZKvjE2lSnrDJm4asFJyhL0dc8uRuvwRBhffWIdDZqyVGBxGqlLHpUgxHk7k29Vku0eHgzY2ae21ZnCZsOGX1jH4waPL1GoVDhzrsdK21KsuwBMimy+I+/KliUUqY3BZLH+jxe1FonZDgJc0WjkpkoE805WyxNSFZBFF97wg73TJmDzb97K8/XcG8PLwH9dtTw7sPFuZM3eSbheeBpc6whLx51+rsbxcRQQaXzp3R43r7/EAc8QHLyYLlOu4c2/aKKJIMzsteffrOzx5pMkwqdBTPtXEafGRcta4VMqKST3xrOIjlSpjejyf91i6ptqQAitbkVzztsqmA+csngWY5UrPcixQAHy0iC71VUrEN94zUDB45v6QTrXN4pSsQE3kimJ20rJtpocvlpF6sF6i/OnH/xIpFa21NepVjdZuucgCmEyeyIR8YlUxwtiOAbtU53sRKzS/8OWKtBFwp1ngEljUyFCfYuagY+3i1YE8HdemRwGezW/JwO0SPilr56l4k75PRp5auc6dF07Cx+9uMJQ+Sqo0ezk6k2U8g7mhVZYBfUSHp8yVJjOCRPPuNw74g7t6PHusSqQ8elLiJyZ1jwQyKROBTdvLynkHk/6u0X2LykxegDub9JvFOwaZZCMmiu6pvG9TlrR4uW4//+72WzoH6ytQy6saI8AeeU1NDyF8Tp08zsrKEtYUEk0DHDtxlj27ttX+y2//3p5Dh9ZYEypt9CyGz8ukYKfEOM1nJCWJUpIm2awL+43ZO1u6yvrbdXKPg1yMyJOszjofd1Aaf1Ce2qR1BvRUe6sxcGfpey9rTDZuZkjeIpYmPnScPiOUF3L4rKYT+qB0Kk/sWHns2Pcad1FKerh8MfNUuiknfjR1T7Bv+4BnD4ckJqBvfCqJq9nWqQZXwm3W6mzWjDXdhrtlkDvZKPNVwxrQ6WSDbGKsSodlunhG5jPei+KurM6maBnM2TsDuCwHmtm1Xo+G8ZZFY8srDHmQmUmVOAc4xezx9OetrmSr2rzne97zQ7VO6/29xsR2B/AzZ+dZWl574+TU9E9ZE1KrqnQSvyEWIBKLRIwsPUaIPMi0crS+wpYOeMPgclyiiGLL6ax+OgPK6HDIooHAlYuWXkvMLUuypLyLsadIvXAHbgfgYihQxuCeHmPvrK/TD1npGP6fv2iw3K8gAs/JE1lyd8qDfr5Jxjo/VyZt3i4HVGnqPo41zZrmH72zw1efbLI89Amlpi8lft5DWb65rMsn5LX0Ji+jtZgU3AaLZNRZcf+WsRZlRD4lWBon+7Km7lFgF2Av98lmYM8ILB8nAuu0eLllcfTGd6+ZRW1KjF3eLSLfRSIShNGQ62anfmp54eAD/f7g0zmDHzl8EM/zOXPmNMYaKoFPHBuiODtB6YElBUMYUQRIjrmLPeDH2busUkYTO2W2EyPL+jqAl6bFjgBcjQ7ZVCVQaynRqSTROcAzzW3yoNLTpgTuxHXiq1H29lSE74d87Gsezx+tgvSQUhLIkp0pRjV49gUvWk1YYvNiLHEB8ti4lrM49rh2b4/vflWbP7irgtEBfekTSFEkfcbANs7koszkY3IglyoKlHWrgrECZVzAbtI4J5ECmQ7zz4JpkSec0s4rWdLgGXlB7oOLERAUWMnYfKMsb3kWeVzaNSKKccCOhdv2Joo4c+YsSivCMCwkyqaZKr7vM+gErC4ppFSEsnxhXOq9GDMjSIRFpBrdWJDlQKGEapsHGWIE7fks6nGg5wAvs7go6dsywJ08kWVwS1kAPE/0ZAC3bk52KkU8VQK4Ws/cWjn29rSbWrXaMvzl1xsstQKoeGPy5OISBTFWSZlf0A1su3InTipRolgz1VT8ndf2+MyDA5a7AaHS9BOZ2pOiaCnLGXSknQRS9s5+ZHI2L2ZBKpvqcCXQNnXKTLE7hpSO3aW0Duwj4yVEAXhsWlWYnQebZ1hFDnaRn4xcpkAp4cMG8q3ogIpiCCPJMIIwhDCG/sCy1pO0ez4pvtFnTx+l0ZzcffCFp34yCRfYNKWIEugO0u6QLJiUWc2ucB6nFRiR3W3FAMVxW7B8aUeYvCRPyun5AuRinSwR2YkWZXkiig6XlLVVGdiq2IteZ8xdBvYG8kTrclInRiuXuTx+QvDiyQqGACGde6JFUTow6qCMdrtkbFGuRSnOVylNXd70KS0qihMNVnPlrpC9WwcsH6xiE9+xeJJ6/iUXJwcV5UKvrEZIlvITJq/dz+WBLKzfLLYx6bRgKQWJHHWz8pW1NG4t2/80A3N2HO40FCjI/ptxu93gxi+CTQr/O9fgEEbQHxp6g4TB0HD4yBl27brsJ+945auePnjo8AntqQhrBluateGbpmrnaQQ1Wl2XQYpigYxKgBNgpQO5MS6QsBbERdh7/FEG98bsXXRsl9m6APvoUPv8VRUMrnMfvPxMt7RWZXAXINeqNCRIFeyt0s9aRygV8fmHGxxeqoJfyJOyeyLG2PublUaPWqtjGbxSZ3xiFGGouXQ25C239XjshRoYjzhxWtxL0iGfyahUyqVKfkEy21BSDEYVJbbMxl0LbGYgyOwpcv2dvc9W8Cz2KIwCgTQ2v7FH9DgbS7bsfJQBXj4/2fCffLVLb8IodrPUW92YTt9w9MwFbn558qZOb7ilN0hO6GZ9gPI8ts21sJctsNyeZWG5xiAMaHUKZh6RD7irl/XTSVs6uG8G8DJzI0onxX0e8cNzaSJykOczQTZgcFUGdzqfsNi2g3XA9vK5hUkpuDQpyGMnT1REtRby8CHFp79epz/woabRUuCJUWkyHmCW44wNLyiM6u8xy7Dsi0exZqKhefudA+56sMejh3xs3aOfBPjCVVIqkeYHSsFewZijILcjK6spHB3l2DyRTo9nAM+ZO2V0mc5NEQIS6eRRcd3Gb/ZU2ooxDFwE5MUKM1pekI8jsaPEOAgNF1YT5luCEwtwZsXQHRjWegZ9fD6hXkvYf8Bw+kibN9w0ROtJDp/aTKcviSKTby9Bqo1N1hQl0l86ZoFtxNrlLzXC4Jk8yQEh1uk6mYN69LMLMNPkjsyW1AzkWdmsRafjgounKY1ULmYXOrZ2T6VcgOn7IVGYcNdDNV44VQPPQ0iVgioLMIutQIQcZfF1kixFduH9pjkEs94Lz56ZXRiGmqt2xrz5ji7PnKgyjH0S6dE3Cj+hOJaSVChEwCjI7dixoLKbzWCUQGVOhhRY5eZ2G5NtbkBOMm5ryBT02Y1lxq/ruEzZAB+lm77cvjmSWynlVZSCIL1Nl33J8TXLUqfP7TctccsVa0xUhqipPvrDf3Q3jYrm6aNtvvrMbnZsGlLTPrN+xHTNbXlRPgrH4AIriqO4eLXBRuw92gBQBnkWXGbsnQebcj3QyyN/Vc7YGcCLyam5RNHZnHCTOikmBbQpATtl7zS41Coi8EOeOyn40oM1en0f6h5SZJWD5ZqYDbKYJdlVvpxZLYo7eaPTdXMGLzckpwVYYeTRaIS8+fYhn7l3wDPHAtA+AyPxMy3uGtBLth1uh+lUrpCUwV4A21q38uXSRTo2z1aVPLlWAnqWURaSfP/TbMY4pCRFKcMqN1jJv8FjfE5h9shmwHsaJuqWvTuH/N3XXqAWtNk8qVhoPcOTD8/jqRD91NF5fA/OLxvCsMa5+RozFUN1ylJRLtLWugBhvuyWq/i/EbDHbo5Ml43qb1Fa2krAzk6eKDF4+jkDlnNRiuGROv2cMbfK54NnI4MzkJt8QGfxdNlKrVxSx/MiYpvwuQeq3PdcFSoapGto9rM0eRnUjD3LHy5yAddlgLPm8txRkSNAHw48XnNtj7e8ssfzJyvEsYcVir7QeElxPMKATAqrcPQwRpm8XFqhVNmqcyMqrM22ghwFukxrkqQpuygly7DE5EDK7HbdSv6NkwUbY0oKZ/lWg4SJGmyZrNGsSZSM8eRp6v68Izjph0jPIrSg4cGWhqUeWAItSv726Hzr8TvxYpxd/vPyXVserJ5pb1GSJNkmUrkOl6NBZl5opSgB3ZaYfEyS5OAu6e5SYJk5J84xca9KRfhexNMnJB//WgPwQXoIofBE1mRhCz94hLmziyryM1Fwd2GXlh2VvCbEZkX+BpMIjMoK/lWevrdW857X9fnyQwMeP+omCURG0UtEWvCVnh9sOlIiC/hG7bkyk5eBnt18yqaMrtI5iDZjcFEktSyj39+UKylTBi9lp/Mgs8zg3wKblysTs9giy5wOQ8lKu0oYKSYbPQwJCe7v6+ma61EMq9CrWppVN+3J94rNiYp/dOyOvAhTjx60WBdsyfJqUHZOUmstZ+4RaTIasZdLZjNJkm1b4rbnKMCd7e6bsbanRl91pr9Vpr9jPC8mSmLuebTK/iNV8DyQutTYMHphy8vzRhp8nD9t6U3eAFEOqkYq6FyPqiul1QxDj2v2DnjNrY7F+4lj8aHwGRjQSeaHC0QqSYSwbnQU60HuQDwGbglW2VyLS2nS9y7mcv2QjqUL5k7Phx0NMKUBk56MUUeF9SR4EdCXk4GuWaSwDoeRQvbdOQNLqwOtnnTXf3m+AUJi4pBtU11XRpo1B5SSKIXfWboL1x2gWH9w5cg5tazKHnEWuI5s/5ex+HiavrRjWbbLQSZJim6eAtxqJKAsSRFdjFfWKkHpEsBTieLriMPnBR+5q8Ew8qDmpfKEvDVNjWQOS87JyHJ1kVXOjgK9LFOyzbkursU19UDyA2/u8bn76hw6626+xCh6iXJVhkmabUzBLZL03FMOOt0vL9tzKMfc+TGlAaaybte8fEW16TPzva1IJclosC2FMyaz82MywhMbgHvd+0JeZclB92MBqeaPYkFW7x7Fkm5fMdHwmdrkubKDT330P2/ePuv9u8X5k1eqtOPcT/dTzDKCeVAnCrtOlgApMhsvB2P290r7VQo55oZk/65MLT456mmPuSJ5M0MGZs1YIEkK3FJgmfveJpcro7Umpd0f0kaG7JnIkD/4bI0/+tIkBAGoCkppaspSVW6vm6wy0cuanNPWuCKTuj7DWpT1llagPJYobMesek9I0qaDrETVvRfWcMmWkLNLkif2+8RCgVBYoXAN2nZUCpYYcIQmx3VA+R7M1dS4jLFjkmajOpKszmaDWCP9fw3lG3t8VUsLscqzLUuEILLfiUj3XHVDpnpDzfyyh554+Zbm5td8Ra8tn5nUovudVd/gGjhtKiPGbbqxk5S+H/W1s/OUi5PS3SoKti4zesk5KRI85WaH0TJUtW4XtUx/l1LmI/o7A3e2nYnN2TqzAjNZolPnxNMhL56TfPSrNZAapGPvvHO/HAeUjxHGAMUIs7v1dZS9R4FQJF6y2gtdymwam6bvVarFE833vr7Hp+6pceCMD+lYtaHx0CKrAE3PbZJCMSk5KJlEKbic8p5JKpUvymavYEVJSoks2HS/J7MKbSrXRPp3yueisINL54ZRDH0zY8IdgysPSQzEwpUPgDtny2sRttL6zrXuyUl9+FSXpaU+/WGC53mudJLxgxq39sToLy4vLxmYx8Bd1t/5z8v1JpmOKwFdlX5e7J6W6e8SuMeAXd6AqpApTnOr1BpUJYnigF2APFExn32gzoHDhfaWQjrvO+2gGe9qH89girFzUeZGO/J+rAF53BPP2tlM2ososxS+kypXXTbkba/scvSjAWEiQbipT30EipIvjkBiifKLVbSWgSgVyTl9m7F0lsRT6asUxXuXybZY4TKfGaDluA4v4cWMnav85mcU3ONJoTL+jHA3j8xcmRKBWgsV37B5qs/kVA+92ja0uq6WuFrZII1aCgLzX1xm4ewClv48Oyo5dueN3CBjzQyjGcwya9uR4HJ0m8BiL8wRgMtSckcW2jtLvedbnJTmiivlJtV6XsSx84r/8skmA+mlDD4aXI7OPRndEGvDCHyDR560yJd1W3ov2Ch1n+QzQhSJ0cSJR5DE/MQ7uvzFPTWOntOgIqzRhNKjbwQqyW44m+6Ylt1eDuROd4+6O6rkzysXUabFWCmYrc2Z28osrW9zPW6kGAF4VpdSznesY+xxjJRVQWl1LP+9pKQWyowf+ILppmJ6UqOnGxIbSZp1TSXQ6TJVlL4y9ovWy5IC4OOMXgC7+Dt5AMI3A7YDjyp9HgG3ZATYGZNrVXJN5HqvW6kx12TE+w5ph4bf+0yTsxcCUDq1BmU+YGi8qGpEmqxjp1F7dUOgU+jNDOijLkqWqs7mgpSaIaQiiTXb54b86Hd3+OWP+LQiFxBYIxminG2YiBzk5WATUciVXFeT+eAWRXEDquwGlFl5dHpNbAFuW3JRbNpZJEWWpBFFKW3p3FyMrcdJ02zw94rbtFj9sDAYCpZbGqsVesucJlAenWWNwZUfxrF1m3WmQC9uErHuztpQh5dkSXl5KT9HehbXNTWk4M4/2w0AnsqEdIJVGeBlcKv0s9IFa2dsnrG2SisGvSDijz8X8Lt/3mRoPCdPhMrlSdZUrEaOc72My1yiEq9clMVzNi+xerng34HaYoxZn8I3bivwio758Xd1efGkz+9/1gMZAopESAYmdVOS7JpkpavlMmY7elDloE46oGfHI1NWzwZCWZkBOgW9SH8mGNHgUpTyKaJUq74R4EsEmX0e1+Xj59FYh9swNvT7MTOLCaG16F1bQmbrQ8RgyPyKZrnl9FhiRP4/rwP4hsvLeqmyIbjHmDv3TkvALsBuL8LeRXdJGdgyHVSTg1tmAaVByyTX3aocZKrYZb+8iJVV+Iuv1lgdZuB2APck+OlkrXJafvS4U/2dXZAyrEsXpAzkcZCbklzJCrCsKY1QyILNVIsrozDGae4JP+Edb+jxqQdqLHcUyAiMIkIzFGK0TqUMlJImL47R6fDCLnQ156Q/zySKlWn8IF3phhgDusjjKidthBgt4R0NIMsZTjFyfGW23igpZMkqCw1r7ZiT5yOq0zH9JEYPTZehbRPSJooD4sRtySYl7mg3yFpurLs3DgrWAZ0C2KOBpVu+ikE2peBSpB54tqNaObAc097ZBrDufZLuiFCk4lXpWQSWEV4t5nNfr/Do/iqmpL2VlKXCKjsmT0pLbhkwpacYO3ejj5IOLiV8xncZW1dlaCWq5IvHiYc2Ma+4NuStL+/xh5/3QYUgJFYIBka78gayy1l0/Kw7FgrRkh20LVVA2VympIFoqslHHBSbOSnkN0J5G0I3/UqM4KIgxSJOWI+rUdyNg1xJgefhdu3yQ0QQob/0uM/8BZ/9+zWXziY06wqtZA6wUftv/TIxCnzGtPfFmbxcJF+woS3ZhKPvVc7io8CW5Y6aMXC794X2zrcYzOSJdM/Aizh6SvKRzzWY7/huv2vpBr0rgeuaES47OFJ7su4pRgA/zt4bXZQ80cO4RCk336YyxZr8c2JSkCcSJd32J5vrCT/41i4P7A84uiBBRIDCIBkIiaKcabWIMebekMltNhI5dVFkYRtmaiZzUJApsMeBbkt2ZYnNQZSOJWXudCXIqXQEW8WxZWZGLm8kVALJ1lnFHTfG7L08pN4I0WboYwcBZuCnQ1QsQheB3UZ3zAjQx1i7uBNHwT6+ZG0E7DLwMwclY/QC3FyExTcAtyrr7RK4ZYKWMUq5IZrDxPA7H2ty35NV19smtdPeUqZdO6XG3lIP4roAc4zJx89T+TSuz2AWVYYZeEbKZ21Jf1tTArlyzeFSo2LNa24O+bH3tPn53/EZxtJloIwkFh59UWQbHYNm+vMiIM98QqCYI+gCSJlKGCvdTeAUTBZY2jGgpxImL6az60pA1uEmPQCxDmzrcefyEWnptFIEsklFNqioGvqSTYqaVPRXPGpVje/JPIOYAXBdwqv0ZpzdL8bismSnjVqDdsQ1kSmYRKZ3S+CW4+6JtPnsvIuBO7cDc4uwFFzKGM+P+drjHp+6r8Yw9KCqnfaWKmfvfBu9cgJqhMVLVmopySUogu2N6LucbrGpiTs6dTbTuenPEuG0dyIxMgN7FnS6DvxqLeYdr+lz9319vvy4AhU5VjGSSGiGFI6KG5c/WnS1IZOnQJapt25T/xspcsAb4RJDwto80ZNp7xzwNgtyC6Yfza3YEQyRH99FMJgGzEZY920iwXJbsNrxEbWAqekAvXVWEkjNygUPi1ofOK2jndHfUv7jjQPM9cBeB+5yw4AoMWVJlpSlibsJTMkezKagrge3UgkyZe8M3DoFt+9FrHUtn3ugyqHzFSdNhCuJFXlih2KCVLnG+iI3a7ms+BvqkxJ4KHnN5drwrCEin/TEaK14xuJSKGRikFITDTX7tkS89VVdHj3g0wplqjVTPY5L5SsYBbddD/KsGSOXKHlxFqmYT4NOkdUoue/vQjdb/DyrGLVF36YdwYb7s8KFE6kaKWnxMaNnFOSubDdOYBAKBv2YidmYYZKgZydjpImZmbAMQtdFPXJnrSeeDR/rA0y7jsXLbF64J6UlP/1ZkSU0IyDfSINnk08di5dlSzHXeiQ1nzG3jjEk/LfPV/ndTzaxQjvfO3VOHHs7eTJiYabHmn8fWZYk6UapY27Txdh7pKAfxvS3LTkr5A3JNrcKTTqwU2GkyeVKlHhIZfjxt/c4cs7jdz/ltvrAcyxuEAyFJNs6NtfiwiLMOJJEIVHyP3GsnB+3tY7RhbtdMra26UphsyH4GQmMAD1zTGyRwhfuZh85f6Z0H14Ee0IkIJzEXm3HrLQShJegnzk+IOyFhFHmIZe0UPmLjV0UisVj5FNxoOMSpZAg5Qq8crCpyvo2A7PAyRBRArcq7U8vi3S8lGXdXWhvXc5WpoGl50ccmZd86p463a4HVZWyty7Ye2QcxOh4uREfv/Q9yz/4ZkmejI02fpaymLJco5LurZlV8xmBNBIpnRaXws00bNQT3n5nj7vur3LkfJp+xbF5bAQDhNOtJr12+bGWZEHWl5hyt8pxn0E9K51NtTgO6FKCNZkOF6nVbHM3ReZypWDgwiMfdVBKts5IOW+J4EulJe4HvmfYs63Hju0+emGpyqA7oLcm2Dzj9oGR+V278VDNzBvNqs2ycoaRCw1jSzfrWFuUpMlo8DYaUK6TKClbF3vUj4M7BXTK3rL0MykTlI4YRoa7H6nz1aeqEKg0sNTOOZEFe2f+ceaijJeCXixb+c3FyQZgH3sy4qSUUvfZ7gdGFFrcSBKhkMY9o6HiDTeGvOEVfU5/wWNoJIh0ig+CWGj6phQnlCBUdley+ECPBJ4Z0IpUPaYIQAv2LlmCwv19mUmYtOtHWHfyMh99xAMfJ4KUZQs8FtYlwiXbPC2Ym/S5dEeTnZdMoG+9bs/a2TP2ruPD4O/6OiHwiwjXZPPqbDZ/UIyAvXw1R4LLHOzjmtUybg+OADvX4+mwe2UpalFsXjaagTxL6sgxKzADewH0OA0s0/mCfsx9j/v8yocnSKwG7aUVgxohx4qqcmsw88DtyMD+dVlZsf4m/0bsXWbxDEDWlsbijaXvrUyBLdz+NTaTKkZihPPGpdHEsdtf6Kff3+bQGc29j0mMX7C4NYIIxYC0OcKSbvVYsPO4JlfWkg6pdcGmyEDnQJ7/LK1ZkaltaEuN0DadJW6NyMkuM3NGtHg5PKB4dTMUi8SYMTYHuBAOr/WqTyecuwv/8jX1xtfs6Npo+ehkw/5YxR9Q8d2ohSwNXgxULK7USNFM+SKXm29l+VmqBCwPsM92C1MbuCRqVJIUtmDmlhTaW+VOSVFrMlJYlbWiqQitIs6sCn7lIxM88FTdbcoj/RzgWrr520GpNHZd7fbIM62VV6Q17aVxFrJU867G+0rHmjeEK0sWpXNU3PylwL/0cyHtqPzL6sezccbWMjsTE2jLo8/6rPXLzoHzUQxjA4rK8cPI+43XJXGRPyuUrBj9PPZ3y+Mr8kViZJxySevbbKKxJc4Gwya4EW7pEKBhmCCkx/FTF37w/oeeO6Qvu6SNEII4iun3wzQz5raGiBJJLIQrsUyKA8vLO7MTULJ3ygxeDsbGWVtsIEvWD3cctQizHYRVmsDJWF3L0URO8RzV3UrFJEHCRz4zwae/XsdWCt1dZu98HFt2vGMNxuPyJM+ylTS4WHc9L0blYnSpteXX8Y77UjubLM3RtmM1KkIiE0UiNLKf8I7X9nnhmMevfkgTjkTFrt9zYMRIYDwKSZE3PCAd82ZyJW+IyJicNNhMb8YsJWvlaJl0Zu9lE2glJQ2e6fWS7LWZ/EkLu5IU3FEK8DiG2Lj3YQxrQ4v2DNZY9GTzvNNMJCQNSbtXYxhqwlAxjBRDId2dbrJa33RnrMwWKt2oG9mDUthSMVW5hsNuqLtHrEExGlC6z2aUxbPPGbhzWzBN6Kg4rxhUKuHLjwd8+At1Bkk6BV8WiR2VSpNce8tR71uI0QTVhnU2JSivx/V6liuUSRrMjckWWwK0zbS3LCWAZApuYZ1lmEiMUCTCIIxBGk3gGd7/XV0eesbny0/J1AXJ7ENI0AzIQG5LULel4y68uRiBoojBrCTfOVJmXciGvPJQGgdqm2lx6WzEbH5KJi8utkqMxH2pLIkTSxTDMLKEsQP2IBIsdqHWHNKsRSSJRd/zVJP+UHH5jja37lsFFJ4yDJRGSIuxmjgp74NefN8MzCMAzzRqWWuP6G4H+MwVETmQRgE/6n8XLVujEmX0mW1aqrONS1WMlAlSxigd0RvCL31wgmNnA2wGbuHALYRI9+AsMqjlTbA28vLHgZ3nq/PlbPyC2dHPeQ1KwdwjWc2SFz66j+To3jUmrcE2ppQAksrtamw0MjRcui3iX/1wi4f+ZUBnkB64yWox3I4SA0jtw/JxjoE8AzPCWYimhAmZsW3qgZMFkNmvSQnRFN65TI89JXZGCrJs6d8unzKbFVfBMIJ+KBhE0I0kFzqGN+yzXL8XOn3QV1+2GWM8KlrR7q9QC4YomeBpDyEsUSwZDNWok5LdzGPgHs1Wrve6xQhjjwaWo7sH4PZnFCWAl1yTHOiqALXMWFy5XXiVjFN70AWWcQK/+YkGTx2sOM877WFEuh2UlXAVgy6xMxZUijKLb8DY+efyxlPuygjGOGkjI9cWbO56FUXuEljSUcLYUZliR10VYyQ29cOFkAgjkSJtcRMaaQw3XRnxj76nxX/42CRhkrG4SJdmiK2ib7LjXl9Om60yKv9CIve5EZmLUnpNXZas5CPrwDdpVjQfyW9tfjMU/p8YlXrp+c2uhwWixNIdCtpDwSAW9CKBqlisnqUXNV2iR069i8Bvcv7ME8wvnOO2axOqlSHGQhDU6A88N385ksSmtFKJ/Pfmjkl2sUdKX1O2zkAwztTjmjuXJaLYk7HYq7EAt1SZe5KMMnfpKTOJUkn4yiMVfv8TDVp9D3yFS8d7IDRCiFR7l+tfxob6jHXujJZ9Fvry4gHaKBGOzHIcWYpFKWUv0tHUrqPdlmSKmwKbFmHJouPH+c1uN+BEKHfcxiLjhGbF8CPv6vHE8wF3P6ygFhfzHFJIR1I6JrVpNtGOJ4BKU80glTuO2fMNJbLEjIRcz2afAWEyZ8XdWG6A0CjIRVqpZcfcqaxoK04neJ3vwNLAJSglght3D/ipf3ADd9xyA2vtDnrXliqeX6FmanSFj5SrnLgw5MySAgOrK1OsdVQeBBR13IUUydmspLWzlPtIQmcMyJneFmMBZc7Soqg1kWPMncsSUdpLPd1DPdfhKkbqmIMnNP/l4w2OLHmuDb7M4EK6LcJTYJd3SsttTkYZfLy5uBxflq3SETG+3iwYTVyU5Iq162VKNqI6L501Iu2FTHW5KICfpOwtZVGnkgiNjCx7p2N+4t0dTsxrDp8VWJ0hzx20tR6hGesklTa9EbJgU2Tb6KUgTgPRlFlznzwHfFq3YsgDUHcf2Hz1KIM8TWZCWtQlS8AWAnwhqQagvRh/YpWEAfNLHifPT7K45HNmvs6FVp3VNYuemx7g+QEqbPP8mUU+/EWfP/naVo6ebbK1objlUsWebdCout2As5EMNquHzBavcYek7JyMe9y5a3Jxx6RIt9uLgjsDdvGzMoPH+EHEfEvwSx+c4FNfqzndrUYDS5kyty9KmdQ8yPxGpbEUrXclLFzMK7lojcOYPBkpwtogsylLYxnKmU6Zdv8kxhFGIiQiUak3bB2bJwZPGt7x2j6tgeCn/oNiYU1CELlfmrK5lZqhKUM81du2DGz33kIqWUSqwQuHRZZY3ZqCsbOfbQTyLDBdV4kpinEcnidpVBV3XCK4cZ9k09SQY/Nr/OnXu3zpsTpn1mIW1mBlzaKrjQQE86dWki/9p7/c9aYvPihoBlX2Ths2Ny2etAyGBk/Ldd035V8+6jKMB5CkjJ5tIPqNwJ3qbDEaZMpx5k5lygiw02SOTHV3iOGzD9b5ymPVUq1JVlDlbMGsWyffjrCcXd0A1I69xXrGpiRVyoqkvLrnFLcB6MuSJQV07hxkYM/dlKzjxxbdPsI9pSzZhtKm7O32zzTCksQWpQ1vvHXI2+7o8Ud3KcIYV1WWBZ2AlTpl8nLQaUe/UMbkGWjLP8tOQvpnruiqAPM4yIV1mlxkXf22BHJBPulMK4nvKSqBIIoVZxYmGQw9dsx2+dn3rvFdt1s6evilhVZ1Po46qH/zb36Hfu3Va0fP1NbOzXvf119dYs+cYKZhmahJahVJxVf5npPjG7GOJ3PKGja3/UpBpBKjKfgsiVN2S4rqwFJQqcpOSSlLWXrN3BOtYhKZ8Jf3Vfm/f3eC4+cDt1e3SDt1VDoKopTUycpis9kneRKq1ORcjIsrz0gcfV9MvS0PNxqfkEvarUQx8iz9d4Uszulor+r65M5oX+vo/pSFTBqfuuV2V55pJlx1WcTpC4rDpzTGji1HwmlyI8RoEVkWc5TZfezeHf3zEg2PfBajb9O4Jv/nRHm6cJpQU+mO1Z7E126LGnBzG3uDgDBUXL7nSq69dPJ/21Z77pHrr3+j26NnS31IJYDd0yG9TYZmXRB4gmogCfw0C7dBeWFW4DLibZckSZG5LBdP2ZGbYXT3XFPS4SXdfTFwS4MSBYNnlqDnx5xZkvz+J+scOhpAvWDtTJoIIdCkKfkso1haiS7qmpQ0+cjqxQY1KRfVK6MEPprgsRtrcsobR5WCUOOuTeGoSGTG8EYgpEzT/s5ZcYGnIRoarrw05v1v7/DYfp8Ti6IAt8ycFYEximGZmXOGp8TejtVticmtcLLGZrKjJD9Sa4i8JsS6/y/bMcT9sdPf5aIqSucrNjAIJa0exEbQG2qWVy0DUWMm9Eli93c1wKtuvZparUqzamgvn0LIbOs9B3CtpUvby3IlXbmAaixjWU4Xj5W6bpjQkTYNFr9VcBfSRGYFVGm2UquYlY7gP/1Rk3ueqqYNDKXAUurCFkwLqkaLqhjp1Bm1O0cDyzwzl5FeWon0TXC97mKVAV/u6CkDPwswZe6gOIkiSjahlDaXK0I4f1wai8GSuDlVTpML42RLz/Lam4b8k/e1+cUPTbLaT7+QFaVpmbixzaTZyJKbIjYA+YiLgqs9Weeu5Dd/kRQSknSSQxFkmnSwT3mLwWzv1igWDEKwSOJY0JUSY+ts2rWXqU3XMhy63Y4lwK5LtnL9dVfdHYetX9m6qU6jKqlXFdWKIvBUvhyUl9QRj3ikfoISS48914E71dKiNN7hWwB37n2Xm4hTDT6Ult/5ZJ0PfqJBJ9JuyJ8oaW8hkaktGIhsSmwJ2CPZ1o10+EaDjErLdWmh+9aBLkZZfATsxTNndENeTTjitJRa2zJGz4cFlZ6J0RijSWJFXcOPvavDj7+zTdXGbgdYE4ON3KuJwSYkBgYWhkYQGoiMY87EClcXYkubRNnsczbnvLwr9vj7Ut27ccGozYupxrx/kwbMiSWKXP9CfwidvqDVEXQHVU6cXv2VrTv23d2Y3AKkJb6//u9/HakqUbszuDyO47+jRELga7evuyfyvd2zLUGyWdxKke6bWNKqpSKpPIGjRqXJqO1X8rlLiR39TcDtwF9yTVSE8BP2Hwn4tx+e4NQFPx27VvjdTns7W7CSlcTm2ntsx4Ys6CwFnOVdJfJ55Xm84bS2ECLX6NkQfynTwaOiVGxV0tjrXss3lxy9wTbS4oX2LrYRHO9iz5t8SytQRsgVL2HTlOGBZz0WllSagh/3QV1HUfZnpUWs+O9GAXb+t8fcpvJrSf4W8cJo0qxMLtnfzXZDdvtmWpr1CtXA/NGTjz/w4Ctf/eZCogC8851vw/crPP3kQ7zw/NMoJdLagtHdygoAlDN8ZVBnF6EE6BFdPgruEUkiiupA+Y3APaa5lYzRvuHZox7/6Fcm2X84wHqZz10qqBIirTcptHfZ9x7PWq7rIx3T2eP6vCgmGiHnb6BPitfcKsyli5MgsixhMqbGOqkibG4dOi3u5va5eqE0YWMsRma6HBIrEcamEkYhMCSh4brLIn7rp1f5sX8r3Dx0vyxTsghSExs5KklyGVJIFGuyE1JOAIkR71xksqWsxy1pfYpzoE16/AK3ZWUirNuOBXD7flqSxB3jMAy5fN+1vObVr2QwGAD/YhTgu3ZM4Ps1OouaxbMx7b6X9+OpdHqU27u8NOJ3rBk4d1FyzU0O5nXgFt8iuFMJI4VBiUJzy5Lfrb2YjoXf/lSdp18ISJQqAkqZaXCZ15v4gpEey3Hf+xvVeJcDy4K1NrAHyep3vrFQKUYQZ1gvdq/L7gGTDpsvZziLSbBOBoi0CE5YF1SK1OKTQqY+eFrxKaSz5URmH7pMp0osN10V8r+8vctP/wePTiwcOkr+eBaExOmGssIKRBp4ihLItcy+zJiNuC5BlJ6rVMsL3IRasi6j0kqRCDt6jlM5JyVYa1hcDVnualQwBUkvP585wJt1i/TFkWqNo5Hx9w6GhlpFutpwlS3fmQQp90lu5JaMgv1izC2/FXDLomG4XCWoRNZ6ltBL4Pc/1eDjX6kzlKNFVHm9iZQFe8sx33sD9haMtqiNOCYbBphlwH9TXK9j8vIsSDvyM5ED2yDyaa8Z6Auf3PUjSlFYe1kA6oDo0vjSSBJBzuKJUO6XJRZfRLz79T0OnNT8/icbdCPcCUsDwfwhIUEyNLgdjTN3ZRzkZVBvAHIx4p87D5w0weSqs4sygax3E+t8c7d5rUVrh9HtW5sE9erRofWODE0O67zNjl/4xf/IZVe9/uiF1eam46fX7ozDNs2awveySa2lfXDKLK7WNwPLdT8bZe4Rj/tbBnfhmrhCKrcLcTe2fOizdf7tBydZWPHHSmCLTh0pU90tLL4sQK5VKlOynSJKTQhlPV7WzlnqWK7T4jJ1lkSuv/NdKzbQ4CNySDLaCidJNxbInKr1CbXRFWXU/5ZZn2X+d8qzAAs2LDeHY2Gyabjlmoh2T/L8UU0YZ3+R0TsaVyrghmKWistKd7co3/Wlz6PNM6NkkP3/uWGTau9sgOd4KYMUgsCHV9y0jdfdtuc3be/U71191c3rGRxgouHj+5XPb57xvjvu+zfWAuN2WEuBmJ3sLFkz2onzLYC7VGeyEXOXg8oM3EXGsiiqcoCPkZWET3+hzgc+OMH8qucyNCOWoEo970x3U6xEclSiFMy9cXCXl3HCqO4ei5rWSXBRvrBjtSZjFuF4c23ZIhypD7cFk5dLaV2RlNPnRghE9oqzDaWwzk5M0/dGWIRReT5DYIlCy9apmP/zR1ostyV//PkGVCikSjn9bgUxgsEIM48yucrtwUKjr5MrKYMXbF5kPEW6r1BW1GVJrUIJMoE4TpBSsbwmnkbUPh/Gg5HFUZU//OmffIQf+J49p+amolvrlf7Nvo5Rmnw5L8/lluOTpb5F5s7AXa7rvhhz5yWwY163UjE6MBw56/HLH57gqQMVl6nMdmMQ2a4MbvyazthbutKDvA0t096qJFlk4QyNPkeZV+SfRx2TEQaX6xl8dKsX8pqWejBeQQAAMOFJREFUYp+iUSbPt1bMfiaLG27EQSmzcV5TnY1jECXWtuulVZmYcXfgxERCtWJ56BmPldX05Gykw7KM5zomH7n9R37RhkxePp6cKNIf2BKZpLa6Sdw23r1hQncoWe2qz93z8JHf/OH3v38E4CMMDnD9NU2EECzOL3B+PqE78Akj19pEehLLE6fWWYPfIrjHa7vLzC1L4C4ncmT61H7C0XOa/+u/TPK1J6pQydi6nMxJPe+0kCrr1NkwqTPmnIywOUXSp2xh5bq8TNtlXf5XeZTLDMu7IJeymi6QTH1w4VyWjNFNGvQJ4cYcZ964u24y3VvetXyRBpeJIA3wXOApsCRYxABef/OQX/iJNX7uv0xx7DzgZUwrRljXSrUBk2fvGUv2/HcweaZRst+TM7nzyKMYt3mDX2Vqzy6sMYw/1gF8att3I6UOV1Y+SuAfIUrSwTG2YJD1w3c2rgIsXseZuwC/lKPypGhwSJAiGXFOlEzwvIQTFxT/+rcn+PjdNUKp3TzBdCJVEVzKXJqUZ3uX6zpGmi8YZc9ccmbALeN4DMyjskTkRVf/PcAuVxSOWoajQF+fCCqSIiIroc3B7gLL7IawwiWBSINNk2Y2RTrRzAErpcvEEmjLe97YJ7GCn/vNSU4uimIS0khx1XqQ2zGQUwK5/RZAbjcAuUglWabJw8jSj+DaK7fyz37wTWEUxfzeL30TgKO24dVq/3JybtfVIjn42uVjhkEoUz+8GOFQZu7/HnDLEU0+Du7CLZGiyE7mgaWOObmo+On/Z5JPfLnuwK1KXrcYrTXxJAT/b3tfGm5HcZ75VlVvZ7v7Kulq15UEYtGCFrODUQwxju0HcBgTz2QmsbHjjO3EdrwldjJxgGTG+xY7tmMzmQwGbIwSLwFjFmEksRkQRggJkEBov7rr2bqrKj+qqru6z7lXV0JY4KSe5+j26XN0lj5vf/1+77cRJN1nKSax2tal3gJ3Q/QyA3bjDFlX64SSTx/bjfkWFsLTeSrJcF6iI3+C6B8+1UMFOj9FWtycqLYQRAGfm7QC8x2FOWV0SB8OwghwEeJtl1TgMOCjX2zF7kONMt9klpyY1Fljua3QfqRzyOPqoCzIUzZCgdw0laIUcByCal0gYi5OWTz7nlMXzvjwxPhEw/FtAHihWMDtP9swBhS2P7ypcA6pMdbdxlDMq2Y7ZsJsmpLYlTcqr8TcT3JM0rSENtASmRQukKR4QQE9AnM49g0zfPwrLQrczMh/rKn1plRdUZ0m1KTBelt816YjSd5NmjfaQNc7M9yxcXsycE8G+EZrnp3jk3U+paYverqZBjMEBSUiqeUUVNMRqgMp0FFO/S7a8TSySsQlXES44uIKIk7wZ19sxb4j1pc/CsjTjidiZzMBvUwStCyQ282EjMERwrTpICjkKGb3MVzSL/nrVmD7lod+OLbmrDcfHeCAamI4NlJ5T6086yzCD59pOFt2irByENMdp+KUWJYoJXRSzs0zFlxTESLiCCVjESjj4I7EP2wo4JZ/M+C280tskKve5qaA2O4Mm1ZN0jknTZuEGgfPOsg2VbFlOANoe6MZgBuQbO+KcUZMSUsqu9DOO4kTsoSJp5DYqpsIJ9GVOUZJga6EJIRqsMlYI1fnqUwijEJzcqE4uQOOK9eXsf15Bzd8myGy0TMFyGVMVxSYJRSwWUxRkrpORxsLCTU2xU7BhXacmRlzSYGc72Ggu/sJXq++x88FTQ8zbbbzresvR2fg8detXiB7Oh3kAgHPScbxmTF8jMqkJ4lpdBnLfnYVfPPq9xTYjVoSg1uDnXEQV+KOB3K46Y48aswA2QI5zfBuqhKpGh1LK2qZAXOzcYDN6YoF7Mz9GNvSVhSOvhq5ddaCkybgTnecTfVOEZlJbSLbQ6Wxl4qq0GfWfaYaewoHXDjgnMHjwNsuKePidWUQzgEeAVLf4sSsCBAcUkqEEqgKoCZNgpZKzIqkTtQSOiHL5JTo+1wQcE6s+8roRkKqBj8RUKkJHBmVIME8eeBgwFeueEvTY+tMdtDXrl2LsF69iVd2DEbV/QXPNVOBZZz5pxQSOxxvW+x0l1dDWyYDt6IiNrgV56auxL/8IocPf6EVTz0fqIJhO1KZoiYEjnYqXdrcsbTzYmy1xNxSWjiac++Yf2f+mjMiFeCYhKckOSfJi8Y9wm0jn0qZNU2CkjmW9kkQKywxZTGFwySmLnF0U1BIyLizFaRSWZJX09RFSOiRsAAHls0L8Zn3jeBDFPjR/Xl1+ZjEkkNb8pQjmdLDk3RaSUjScllCD7ey2tZlqFjEBTo7WyZOO335Tbl8blLjQSd7oKu7X44c3vqFRQvnHW7J11HIRcj5HJ6nlAyX8ZimpOokmWXJLa6dlv6agZs3BfftG3P4yBdb8dTzvgZ3xnrHQFfgjqtzjDNMEmrSwMFj621pyk0stpELU9XzNj3J4vgoprsp97akwFTarCRpwMP+sa0qe4vC2Fbc9Dc0VpqLZNsUSHDbkus5nGo/0zM5Gbh0VJP9uoOlcyLc8N4RvPGcsmorxfmklhxSIpJAzVhySRAKotNtlSWPYutNYsturHfICUJOUI8IahFBpQ5M1CRGxgXmzV90+P4tT35hYOaMSdngpBYcAHr7lyCsjyAc24hqtaLOcpOgo3mr6RIaW/G4aj4jB5KkhlJZfq5bPyRSoIlQOiwCcSRuvz+Hj325FU8+6yeBnBjcFth1lqBHTdNMJE0zacaJNNswFEWmqUkM/MnHIKYwbIG8+To6VWlQUWBZb5K23saRTDfKN06lzdOT5xpnUuiIppQituI6w0XXIkhF84zaYX0t+wTmdYll8yL8zR+NQgL41/vz6gETNkxZcgkQhojSWPWRlnQotfV2qMoFZ/pxKqB0fiDOMDS/CxcSQaGEU08ZRE9ny5THdkqAt7b3117aM3btWDjnZlc+VQi8COlBQEZWSwoaiE1TUg6mFcSJwc4tpUSBm9EIcCR+tCmHj36pFb96LmO5U8ULpoBB0RIvw7mbWu9sXgcSEGcDOilHMgV40gD05ETQhGVydpIGttmwnphIghYNsaVCPYwq/biZHy91qilRoCYa3LoqPpYMJQHRNWREe6pEUp3JZ386rYsL+8MBqAHL5oa44b2jEAL48QP55FKXArmM73NCUbO0b+MgG5qiEsUkmLSMDCyKKBXmHCpxzqq5E7mAXTsws6923AA/MjwsCq0LHhw8BaOHn91acJ0aOFeXMdMnBfrMTyy7rp635UGmlBGS6WWSRCj1X8YBJvGTTQE+9PlWPPWcn+nd7WSst/oMHrW6UlF75IjtXCYBHbuZT6ocjWasd8Zqx8Alybb9N35Ow8bkQJcWuGMQkwxVIcg4oZm6TABEtxU2KafEBH+MOhen1ppriu1DGIUl+T0NUmOAWXJe/MQ6cMrcEH/3vlFIENyxKQeuWyw36OQG94KiZq40RHFwqeVCFn+3JHnMtgFcENQ5QSnv4PL154yesXTug0Mjo43hS2vRqR7s6OxBW2vLIccZv6LUMxgG/iEEfpTMnLQTopq0eIjVEWLnmpiOr43glgy46+EAf/K5Njy1qxm4bf5N42COR2TsVDrGYtuOpaV327JgQ6DHAnBs1TP77R89KYAgmJqHTE1SsophDO4Y5HbBcfKYUU8QP0biMjdhKSjpFm/mMWrdp4naojtkqX26xI0rLh7f19xcCAe8xrB0dojPvn8EF6yqgAme4eHp0jdIASGBui6BqwuCUCYKC9flb5EwXF3fOMF4SDBUGcNF5w2G45XKFfli6VB3Z9eUx3ZKC06Ih3sf2QXQM/agxp/NV7YtbvNqMfc2BzZO5CGyCS0xAZtsrokGN9GW2wHu3OLj/Z9pw/ZdvqWW2D0EE1piihf8jGLSSE2aZAza2xZ4s5fF5qC3wGxxEFtWnPbKUJPklWQC7owVyyoqcVieJP2zTXW60HWcJM5fUeqEsDpXEaokOpgQoT6BSCb/OxVlTH0FCdSBwYEQX/rgCN73GeBnW3JWt207DwXqg1A1Nr5uKIrhH1RfO/QMn/gkh5Z3wbF8QRG//5bBZ1eePntPPdyOILd4ykM8pQUHACEd9NF7d/UU2B96wbmo1hlyvhriZOS+mHc349xEWXDGhFWwkFhwx+eAC/zswUCBe7cPmQK3k7HiCtwOTaiJsdxJRqBlxY1jmcq/bhwiNdktmwXXoJEnD8f4JOSYYK6AYqkg2bTZlDOJZrq4/RySuemQvrRvlhWPNXAaW/C0Pm71HTejxC11xWyLOsPgrBCf+8AwLlxVBuVasLbVFRla2xxSAqGlsMTFy9DFzFJRknJEMFajYJLj9atX4OAB/w+//U+/3OW57KjH1TnaEy5YORPVShl+kNu7dxe/7+mt958bySH0d7qo1X1EnGg+nqglrIkFV9w7kQINuHcPUTzwWA6f+noJ23fZ4M5mBiaW29E5Jp6uik+BO1vpn1FNUtbbVk6Q4d5oVFBsEMOiJTFPzT4lC/4pljF2hn8nDqVMApvWPoX+tBUHNBe39XDd4QpCJH1HhJWwRwlM4xKixxYTPWjWOv2QyazOiD66F20ILJ4d4Qt/MoJPfl1i82MBdh/2AA+aw2uH1WxTQIIi1F+aQo8wQSKb1yTBRMjR3z6OUwdKWLl80X1veP3ZeyvlCgjJH/W4Hv0UAPDXn/40Llx/8VCI4tiPN8mr7n9kB85cJOG5LsKIxUqDUkdMEMiaTWlFJeNZlQHH9pcc/M3XW/D5m4rYfcDL9Ox2GsFNE3C7mncbWTAVkrdaQTRUxcdNP5tYdprO1Y7zvGnm8dRzk+pvsw8kmyOe5Io3kx+z6k3qPsyxJVM+nty353QiPlNTiWDxPpk8BjufxpKQYD9GMveSszfeEkB3B8f5K2vo6+fYtsPB0BEKMJl+YvyXxCcIIWgQB2qcoJCv4t2X7sMH3nEmZsxc8MHDh7dv7OsbnJbhOKoFNyvXMohcS8uDgwv5bVH3vjfX6k+ASB9hRFU43eEJyIntgGYr4DmcIMKOlxz81d+34NY78qhKx5ICs6mvTswj4iil5VQ2gJs0B3dS/T9JSN7m3kf7m+XaTa33NE23tFJP7PvZp9k0hSDRwgnJUBgZW3qSKkzWL6RrH5XOTGJTzohSxGGX7FCT6JK25poeT7KUJe9t57jm0jJ8V+Ivv9KKnS/5gB9l6jPNXwcCDJFl5B2qfmMKCQ6CfHEtZs9afVuxc8GDwOh0YXt0Dm7WmtP6MKM4tOuaN69+X3tH74bdB2fiwFAB5aoHzpk6oKloZqJrK2CHur0Dx86XXHzqa6249Wd5VIkziRSYBrdrcW5bMcm2XYt7I9oWUeewp3JPmtCUxhtJ2EiKplicHClf07KI08d4/NwmyVdGNrPOB0tVaXYz0c0kfB9HMw3YUxMidPtlHdVMopsWH9eRUG5xcSmUmpJwcgecO/F2WHXgC+CKiyr45LUjmD+zpkYyxMpK5ia5ylHRltylEkVPoL/EsXJeHoVc5wavdO77ntsV7SJk7okHOAC0ds7Cvb94cHdX79lbD4wOYvc+H9W6q714SwLU0UjHGt/HGIcTCDx/0MEnv9qCW+4ooArdUYhkHUrT9kFb7snATSynkiYqip08lQ3PZ6U/xc9JYx0mrBPE4typYggbxLbTKY9RTbHBC4uDm50WsO088diJRJP0WaSTrlTnKDN6MJm1KfVQWRvw6WSs7H3WBORmHwPnKjlLSAdRyBBI4KpLKvjUtSOY01MHajwtIUoNcB5CCoG6TsZiBMh5QG+bwEWrBnDZhWu27np28+75c3uO6ZhOm6KYNX9WP7q6Z9xQHto1vzx8+G1S7gOjAq6jlBXPCeE4ISjlIHE1jkAoJTY/7uOr3y/i5jvzqBOmK3GyuSUMKYeSTAFuC9R2lJJlLHRS29jMcqcdS2rttwGcUgfjfST1N8sviWXpGyKVJIXftGRoO5uwQEsm+Ssty04sWgIZO5tCXyKIhCp8gDqhIRUTEYCmDCqlVmiKImN6Yp5IUxca20LG/cD10yVVOHYdjqsuLgNC4iu3FvHo0wFqXOqsKqE0SSIACETwUaEMoSAQgqO3ux2zZ8+9ac78FTfsfWnvMRuNaTmZ9vrs5z6LN156bs3Pz/pRyXn6/IJ/ZHZrcQKFQgU5vwLfq8JxwjgQRJlARRJ890cFvOu6Njy8zUdIHAvcVqGwZbnJVJabWuC22jyknUmLsljgZiRtmW3HMp0+S1InhykKTgqLtWNJ0n+TE2aq7QyF0ieAubIgc7LB8g8oSU4aAtt3aDzZiHU2xo5k5lxsuJNyONNtIKwXjaOhDa6m9XzzrxQEDpE4ZUGIt15Yw9AowbZnHIQ6a4wICSojEJ2cFUoVVMq5DJ3tLRuv+O2zrnzw4cfHV6xYfswAP2YLDgDrzrkEIwe3lIE31Mv7vgHJhzFeq2PTkwTVOoOUDLN6Ipy+WKVsfmdDHp/4+xKGx1zdgCSTNJVKfbXATaagJSlwy+bgzhQ1ZEFFM0GdrPVOnMtMw00bJBY4sliY7jLN3o1VNk3npfWYemImy1AHd2wn1VS9JFZdpcRCqJNdSOvD2ZwISIfWJQETqsFP4mzqB5tY8lQ01uZvkigzGgGUcnSVOK579ygYlfjuDwvgjOO0wQoGeiJIQTBRd/GrZ4oYqecRBv34L1dfXn/+EC1fdukbjgeqxwdwACi2DQIQWyhfue66rx/Mbd+Vx48fKmFiggL1GgbnVPDFjw7j+RcZ/uJrLRgedxJwNwA7yec24XeXTGK5pwL3JIrJZOBO8W4LoA2BHpLsj4FvWakGAzhtZB/lP9jZhEiAnAK8Abt+sqrmMRhMgB3zdJN4BWKJ4dI4Gpq8J0COQQ5A85sUyJP/xPQHJEkfcG3R1W59pMIIHUWOv752DFEEPL+H4YsfGcHiAYmw5mB0guLOh8axc38Jo/SSyvLTFmxh9JhcxRMDcOa2Qcrhj9eDt8i7nx77wJYHdgZBm49cSaIyMY6OtgnwSOInm32MjOnundm2atRWSpJqnDgz8FjBTZuA25IFU9w7S0mIZa1hnQwGyhIxVYh/O5LZbmK9pwpqpvBt7sj0AzagY2uNhFdTU3FvXkY35wQIqFC1j8baG+tNbZBLIG4IGKexNge5jEHdDOQCpplmPEcTJAnF0+RA8ChEa5Hjt9bU8A8/zGPoCEW108XwaBuEoHjj2lHQ3LxqOXfB5yShn+juKB43wI+Zg9vrL//yehn1XHhfSzHPch5f14JxVvIZBudV8Ok/OIhLzq5i604HDz6RQwhXtS82Y0So3rZKzTwdxPGncignoyXTBLcdnGl8LM274wCO/Xg249AO9MA8f3Lu3YyDm5ODEoWbrIoDZJ1hi+MammVUnnh/+rk2/4732oQ/xbvsMy953WS7kZNn/6vJm0lMBgz/AqUSNSFx+905fOPWVmzfn8fsngAi6sTh4QKoN7seFBbcENDd/6u1a030cjB63BbcrC6nWp890Hl9tzNaP7hn9K98N6RnL3dx5vw8ZD1UZzOh2lK7GSuufgXTFNNOeWXTtdwZhzJb3DB9cGcAZwPBApv9IzYN+BwrX8la64yaoi8cqYBQPEIbiKcBSw0gU4ZG9fxMFQxXjTkBFWFNLLy25II0/9zxvsSSi5TlbrTkhkpRfYbplkKgUlXDgwDUcChKACfA5u1FfO0HBGcv8dDXXRSFjoG/6vb6P3N4eKL+cvF5/ORGr4/9zytw6hxZWX/OktveuH6FXLVEYEE/RbUWgIdUDzfSFpt5APW05U5kQJ8Cvo5cObS5zp0FN5sM3Hat5TTB3SAXNrlvIyDb2Me2hseD74bnWpQjBo3ZbxxNSVLyYHYStQn2iFTZWrqULdHCkdbBZeavDvhwqTV0QZV23pColUnQkknxMudKI4+4C85dgDPVINRhcF0Pz+1x8eCTAn7r6TJ0Tr/tkaeKlVmDb3+58Hz5FhwA5s2dDeL2PSP7c+8JZ49/lVR+Tov5CrbvJvj5gwWUkQOcAKAuiKYjlCTzcQyYzbZjBWmSFFiZDt6kZMH05LGscmL3/WsKbkuvzobxE1CjwdG0kZw5B47J2UzUE8SWmmT2QXNZotEfW3Fp3p/EigklMrbomMSSxz6DNsTE2ra/gD1YSu2nusDN1smF+kHiGZkEEkJdkaj5TKpvOdO55zlf4qKzQiy5s4ztLxVwOOdh6enLRd+M+e85fdmiZ3Y8t+9EQPPlW3AAWLhwCbpLe+u9g6u+ObN37E/7+xwIOYab7s7jyd1tgFuA43jwHYqAAXkG5IzV1rQknrpA1IdKW+5GcKeimAbwDbkn6WQpNgm4Y13bgqfNgVOgJlbjH5Lw2obcjGNBuLVk5gVSkU2ZtuaxFc/clPVFUhRhWfKk8FjdN3N1RPz/SCZtVkc6MxFNmQnjm8e4Zc25sd6CIeIOoshBPfRQqweoVHMYnMFw5YUjYHIEpVIJ+yvkT889+6xvPrbtQP2UU5aeEICfEAsOAC0dSyHCXZzM/L2d4wcHxj7/jzeXvngLQ0W0oDWg8HXijDroCfUkALK1k+kIJdL5JikH0syrQWP+CUmCOM04duw0IrHWNjVJW2OLemSikMeJ4+NflmQIWFY/vqe2hC4DI0DCyY2Da6y6bsZptmEmmtmW3Y7GmqUjnkxHPIkZUSyE5vhUNw4SkEQnfUEP0tKrHroo5hiuvXwEuYJEsee8sTddtHbn1h37+FnLpy5iOJZ1wgAOAIQVcecvRjacsuCCPyKtuc8V2+7t8MbH0ZZTh57rdgGhALjJXwbiAgQ7d6QZ544tccaqNwvLp9JLJ+PcQDKOO0NN7H22Dk6mgejpPCd7cshpnC0GxERLgwrOms8k7x5HfdTcHr0dxx4TCVEQpVlT06+EQs3y0Rq5esxQEDRMeTDBIGGNMyb68iJj/qNeTwqiLTkF56o7Q61G0drWhj/5/cuGUDjz/b67e8OL+wdOJCRPMMBpJwBg78HRG99z9UVOR9694fZ//Xn3+OgIuKQo1yTKoU70sY+VTSmoTUeagbvRmUyH2i2rneHdCrSNwIe9HxlNOyOBZbcbEPhyTfok/98AOpXT0rBhv4gGttT+h85DoVTp5BIkbslgiKoZ30fjomEjwsfmPLNMlBPxHB8TO5DmpIsbhhKEnKFac1GpuggjgmKxB+0D5x/0Shf+mRDhjYQse5kHr3GdUICb1d/dguHhkW+//XfWUVI9cN3GX2zpHh7jkIKgEkG3G1PPZSQ51w1HtpOnbM6dVUqYpid2EcLkEuDkfU5SGrJ16W82EzOBUBPF5GWA20DSlgnVJV3bbWLJgslu/ZiOZKbSahOLrfqK6LpNYa5uUmvSuiZTjyFMebUE1gQ1Iwc2VvOoK6EpgRN6W78UFdrYq33VmotDwwGOjDEsXrryYGvPRR+th+LbQa79lYDiiXEym622tlZsvP/eb86a0frhNcvnDM3qZShzguEaxUhdNWbkSeWVBptsSG+1wZ3w8yb1lnY1TsONpF4v0cjNeA/LmtsUxlZHJJCutUxYb7MT5LiWXfQwxVNsLms6WdkOZ1oyNI6hkQ7TabGcZx1Pkgx0FQSC2/eTSvyGfHG7DhTJ2UiIBGMcgReiENThOjU8uwcoRzOHymHrh+/beN83g1zplYLhKwdwALjs0t+Gz8Lvnrp4xh9fcl73WF2G4LKCUFZQ5irv1+ROp5w/2DJhAu4UaK37jJDmtIUQpIe1GrCravKGHPAMP08By3bqJlsnwOOUU4C72XPNMlq3XWxsJgpLYXTwpABCAXkS/Vskmnk2T5xbOeJ2HrndqsJ8AeNfeW4I1x0DY+PgYgKHwr4xr9j3xwcOjX/34tcfXxLVdNcrQlHstWLJQdExk9606Rc90dvXe9/pLT0abNxWx3funIligSGeL2MaPiLhzzGALUAzalOPxDLbVIU0czKRBGgm1blhhWos692Ekicgg3VVPwEcvCE6Oo0VO5wEaecThvLoY6uvQlRfLQkhcbtlQ3OkllXtufKSJMla6kVjPSw+rqp1nNbBTX8WfUjyQYh/vovh7ofa8TsXLK129fT/wd07Crf2lCpi2l/yONcrDvDOue/Czd+7hT+0bfatV7/+Cd6Sn/l/t+7ZEXiMIOfIVDIMMQqK5VjaUcx0lLKxQDibT9LAv21gZ7jEtKlFDGKLJphMPmSy/Y51keQvid+sydOsIFCcams9PVs7oeozExoo42NiDamKQ/aGfxNIKiBFE8DH2YIUhKh+42peULq8TggV1AlDD3sPhxiRi6s7D8+75uPv7LvtjnuO8PWX/u6Jgtmk6xUHOABcedUVGHnxa7xl5qzvf+U71XfsPtT6jwva9+clCMbrDAISTMtftqVOjR1hjZabEJtPJ0GdbAKV2We8/Gnjr8kTE/CcWBVcopEvNrvSNPtcDWoKgTXjJnkt40fYV0njSKrR4EnkUhIV+TTzcsxjhu4kFlwdU0FokqGoW4gABOWKh9FxD797SXf5gnLhv1144e9+f+/YzfLLf37VCTt2U61fC8ABoHXWtfj9j90ov/zG6s2jw3OcBR3eV3e8sLv10T0RRsY9NeISNjWxnMqYd6dpRxrkZFJgU0pSDmAzC2v3/mu2zOOxtdSrKcSngf3sw1NafVvO1G+QenrmQ5uC4+xnsqc3qyQtkgA57gVoAEp0lyGpphmbUjiapOyqKwMFEQKUJHktlACuE+LIWITtu7tRahkcmdXS8+4/u/6Um/mhz4N1vf/lA2qa62Wlyx7r+uV9P0D3irdj/boZW3u6u1+6+rLceQeH9+Qfelqi5DIEnspDcSngMnVzWDKXJZ0WazucaUeSUQLGzMxLklFadAorTWbJGzVlKlAml3j7JMtumyjosafLHtMNk5ykSJQTxNuZBCwQ2EXKSW8429NI/ibCjv3/DL82x8/IuuokcR0Ozx3Hlh2teOrARYdn9896//P7Sv90zW+/iIGl7/x1Qu7XH2mOfwx5AIDz37/2z/dc/+XvPtDNy+PIuRQOA3xHwnNVqxSHJZY4la6apStxIIikHE0bhM0ikekJwtIqCWs8UvGlPfWaumENtZQZYjcFsofDJlo9s75T9qRVj8uGE4HSxAqbY2B/1kQWtL4X0HDJsV8zfp9UuztDFaXlkJr3lDF/NzObPEcNRvBdrgeRhWhvY8j1XnxwWL71IwT1by2ZM3Uf71dq/dooSnYR0oNDR8rfuuqyN5CiU7juzrvu7N785ChKAQMzFtwhavS8caisHxOTgZsm9KRpgYL+v+ZHN7KZGoaqm+mgkarYAZZYu7cebwjSHMuxQPq1shmLycktm56khKQpVjzlQULRhtR7SeVLakdeSu1Exm+ovwRNvjBFEkiSoNqx1bnlUiiwcwm4EQjKeOHQDHTPvfhg38DZH+1D+C1CTg64gZMIcADoas+jUp745lsuXRMN9NPPPvulje189BAYFfAcisBLAC4kAecytk6AbcUtcGsawiyg21U3xgrHiodIJv6S5Hoc9/wDbNFEoVrqfNUU0DXC7b7px7IkYFd1xW+cUBLZQFNgWfD4o5tGm3okSBIIMp81oUjSJMDpLyLjM1Sn1EKVvCWdtJIBUUJzbe6qk4ZRgZAzdHZ2QrRecqSt93UfqlSc7+TzwVG/+yu5TirAASCXLyAU9RtPPe2sodVnHljQ5sz52zt/vtl1KEHeZ/A8xY8jLlCtS/DQpPIkZi7Rwy1wU90rMAZ6GuQK4DKeSi1iE5xQFdsqEusWg4lAN4vUThjIy+Z88ftYlKj5LXEjTUyVW1SFC4KIQ0cwk8+ccswldKWNtB5UJy+REjTzmSQAzgmqdYIwUsfTjwgAgcCL0NG3Jiy21j88e2DFTkLZv/r+yQU38CoAOAC41BOPPfH0hk+86w3e5ke3l3M++8ozTz9BXMZpPmBgjGB0nGOiGiLiSv+iVOmuKY4bO5dJI8x4m1ogjzVrCc6V3MWFTF3ahepTDMCmBDp5H1pPliQpAoalPR+PFp717/R2On0AKU5MLIQTPVqQa7rCuRq9x3lmSra54jFLz7aTW4iRa42mnYynoSCIhES5SjE8rgSAwAMcNy/6Zq+QHT2L3ltqX/KPYyMH6t19Uzem/3WtVwXAAeCM0xbjoUd/VR+Y2XtjVK/dXcpFV46PHv7renkfZvYCldoofnivBx4BLlPURVJlM21rbQDNUoCnKWueAIMgogqeUaT4NxcK9MLSkW2pkSJpeGlT1hMVyVRvmOS5ADqdGEm2pVEtDMglVB4UYACtrHc9lIgiu+onUZOE1BIsA+J2tZaQTomiJ8bae46Eyzh8j+OuRwkqEwxdLcDiRQNo6+r+i/auuTcXSr0vVCf21rv7T0yxwolYrxqAA8Cq5acAQOX2Dbdv75ix9PpZfS96HvE/zsRj7Fs/GcfuQ11ozwGBp7RZF1b4nmatNcCYArrDaPxjMitgBKnG1EkwVOsCnAuEoUQklHW352RKbdWgLajRkKVxwKzwz3QSfKay8s2oSbruVMIefQggBiMXBLJGUAslqlWJiIu4cJkSoo4JSydspd85jlGC6ZbHDpXwXY7Aj9BSKOOsZaP43l0zsWjBIt7b2/fpVauWXr/1V7v4pYvOPdkQalivKoCb9abL34R77trAz7/oyk/yaL9z04b2P92x91d+3htHNeQQksKhEvCoBjCB4yRJVIwm2rnDCBytpzsO4m2TVy6kuj86DkxUBWphYvHirEad3K9Iq55URmBpyZac3GQdj9OZ+LSW9dbgZlTqEzUBuqlzcJjEeBmYKAtMVNTEYXMFYozAEQSOpJBMXY/M50volUlllqBc7XUdjnwQglGOehRg/eoAy844q9bR96b/c9rC9k/ecssPcMUVbznZsGm6XpUAB4DzL7ocUg5h8xP5j5+z9s20p2PZuu//4HZ6cKy8bsuTQ85CzwWjgO8S+D5LKRDGqTRUxdFNbF0H8FwJ15HqkutI+K5AyDmeeiHC7kNAztVtK6yAEZVQDdy18xVXykyB3GPB9GTMxrbklKoRjQrc6uZQaN1ZqPtMwHc5ynVg01YXUQR4rpZbtRGQjpqTCUm17GhNc5ZqdivhypkEgMAjYJSjvTSEA2N9UVTpfWDhrN8SC3rnP0BI7ePPvDiBRbMKJxsuk65XLcABgJAOs/nRB7f8Mz747lNLjz49/vUJ/sJVXu0I9Zw6inkHgc/AhUQYCghpCgS0JddW23UA35XwPYnAEwg8gZwfob0lhOOM4vA9wDMH2jHQTpBzBXwHcJmEA8CRmWIJaVvvJvC0hO2prHdMU47C342jaefpOFTCcSRcJuC6Ap7LEXgRZnQNY99YhG37+5EnDtoLAoFH4HsEgRW1VDq2zkGxOBXnqo23EBJhqApSutpz6OiZI/aGS27Zc7j7ncMPPDv2treuOtnwmNZ6VQPcXmetvhqbfrl9bOFg8MfvfvveHVsfe2xZwMpvrk88j/YWiSNjDHsPSYSRgOcyfVkncT6LyyQ8V2pgcxRyEQq5EB0tFTBnFC5xMVJtQ0tN12tJkbhcjgTRVptqxcEesW2vbNBG7UvLh0a2i8F9FHpjVBObojjMgJvDdwUCP0Q+qKGYr0BSjgNlgbwkYITECpF+d/U6TIALAibUd6EE8BwgIsCh4QgHj4TI+xLrVi1ES2fxtlLP4q2XLO35vKjXxlhw4kvLXqn1mgE4AKw9cxAADr344ot/vvbMwTkH9u3Anhc733xw/y8hyRE8tM1DwXfgMDXPJ85NYcraeY4CeD7gKOZCFPNVlAoTAKmAMYZIAJWIIGBSF1FoR46r1xFENXDKNqdvWHFAhSRlYFZQxg402b0GJzthAANyqQuyFcAdR8B1BFw3gudE8FzVthoiRLVWR1UEyLlEp8fKODTvMMDhgGBSa/7qWJUKAp5TxsNP19FWCrB65XIMLl522xmnDb5/dGxiVwudcbIhcMzrNQVws2bNmoWwOrSrq2PJhzghN/bNnP2+w4e2nnf75ucgymW0tzjwHOVcJjkXgOsI+B5Hzo+Qz4Uo5mtoLU3gnscFfrkzAJiu+ucEoVFnuAI5FzJpSzxF1Y2dJ5LKobGstB1AEiKhIFMhPJH4jBUXcJhQVpwJOI6aLB1ygtPnRVi7aAQ/eTSPvOfAoVz7Fdr/cEmcoxJx1d7B5wQuq2FWP8XqtSuxbvmieztaC58vtS95fHgs3DVrxmsP3MBrFOAA4AYdALBDSrkDwNYnnqz2X/uOM/7+hed2LDywZxtrKXBEEUE9orrQFrFTmfND5P0aWotljJbL+P59BTx7sAjmq+RKLoBIqEAJIyrSZ8q/DOe2Q+WAnXhFrMgpSeXBJElROlJKk8p2YtI/rAgqgHRaAhBbcOVUKseSMTW+EZCo1V3M7mZ4y7nDeOSZPIbKHfAphccEPEci4hJCGJpCUKtzjE8IOE6AWXNX8cWL5+6oFWvvWrfmwr0Ath/PzM9X03rNAtws/QNsP3To8Pbebv5bve35mZ0Xrbzlue33tNz38N7C0FAVs3ocUCrhuiqknPNDlAoVlGtlfOZ7Ofy/u3pA3RwCpqJ4oVSXcEYVR3VEMpuyIRc8WxmEBOwmkkq0E6fyQ6TO11Y9SKAjrnGfQf06WWNuoopEJ5cpgHM4jh6rzlSkpx46mKjmceUFE5ioHcB1/9/D4UoJOYfAd1QMwTTJ72qVII6PquibeNNlF44WAnFFS+fAnvO66a7XOrDNes0D3Kyurk5IKXb19HS/AIydenj8nLVrC+IbB/bsjMKx5zs8eqiU8zhyQQ25oIJifgJ3Py7wzTtmgNAWdPmmt5+an64Kn9UUZc50TgfS+eCT52ZrcDOT9GVlQkqACxFbcADgOikslaKbqpBPhk0BCUVhjpmNpEY2EgARdzE64aIQOLjm9aO446Eh/PjRAEdcBo9J5DwAlKKru3ts3doFQ8tOme2MTJA/DIrzN/X3FkYAKQiZTqjqtbF+YwAOAPqHEZuffOkIy834aS4aGfy7L91S+8nN13/wpee3/B5qT4Utebkk54fBQ0/Xcf0/tUPKIua3SZR8icM1YO+4aoNQIwShVPzUZTIuSYxbwpncFgpYYRKYMDelKnrquYrLSwCoA9WaRK2urC2jSpcmNIks2q8kJEA4AScSTCRlaJQYzTtC4IfwnAiUqqDO0GgO4+Uicl6I/m6JD71tGEMTLvYemYdc0an29OW2rVu5wF1/8ZobN/7Ln//vNes+4Xf0FavAQUHI8Teaf7Wu3yiAm7Xm1BmAKrgq79/3Aih1/pYx9rd9swdZLnfmV0bHRwd/9Mi2c6JolA10uZjfwTG3V6CnfxTfuMPDC0MFhDRCXQCUOMi5PFY/lORI4Dq637VeUiiVRWWeKousAktA4Am4DjBWBg4MRRgvc7gOge+qS4DDFPdPpED1muaqYaYAO7qNAyESjsOR8+oo5MZBiAClFAeGQ3zrxyX0lQIsnZ+H60nMneniMx+YyTftWL3RY63bJ8bH3sNYyIMgwPm/c50M8nPKJ/v3eiXXbyTA7dXbNwAklDZ6fPvwOyXLtf+Pa/b8zetW3ep969ZRvnpR64ozFmFld+sT+N7PxuC0MFx81jhGKnX8eEs32gIHBEIrMQSeR+C5FJQQcC6U46Y5NKPSqksEcr5AMSfQ3V7HkYka7tvKMDGmEpVkjoJSCuGos4dRFWo3dCXkqjEP1RmBjBIEngmfC+RyE9iwWWB4LI8LlgEVXsUDz7TiolMHUBX04Zpgjzz69DK2/vWX1193bu/HgOoRQvpO9k/ya12/8QDPrtMH2wDgCIB3A8Djv7wfUpLzikF5vZQ9V1z1pmhxkQqsXbgVB8b24gcbKxiZCNDmcdCiC9+jyAcqekoATFQ4yrUQnEs4TFEWT+p5Q0wi8CRK+Qh9HWVQbxgHJlowNlxAztPlXq6Mix1cB/A8CdcBogio1gnGK+rczPkEjFIEXoQoCkFQhetUsGHzHJRHe7D6tHnonRniqst7np7V2nZLV7v3b0NC3vuOq88H8MGTfdhP2voPB/DsOv3MswHg3nL50L3Amff91yv5gurYiNi59aBgQd+891498JEXdu3DzDaCqHoIhI8hcAm6WjhKBYq9hwV27OWgQiIfqMxC31WUw3Ggo4wqWcmv1hDyCON1gmpdIuebfHQVfPE9gUIQoRAISER4do+Dlw5K+I5Ae4uDeh0olVrQ0TMbhdIo/PZunLuicv0Lz1afm7vwPNrd00qvmenuBPDTvq7Ok31oXxXrPzzAzcrnuwDgp+b+sy8cQj7nt7X0vfTAfZueQFuehvNnLvuA55JLHAYEfogHH3kIvb3DKD/lIJBqrEe1HsGt1FHMSTAi4LIIlNQB1CBlDWE9RK0aolwVqoMAEyjkAIcKtBQoOlod5AMOSicwUXewbHERCwfXoJj34XkUeZ/c0dYy+tlcUHadwhn4wB8M3Ct4bdjP957sQ/iqXP8J8EnW/IEuABgGcDsAHNi/DwC2SSl6AQghavjZA0+hv3UU1CFwuINKrRZeeO7qTwleeWNbQYS9nUBLIVJ8ubWMDncM564uYWykgJ4WZbVLOYKuNgczen23pyv3LyP7N33K8zxX5XxTLJiTx/IzT4XvBSCUUIey/QCe6+37T0BPZ/1mqPmvkvXTOzeCgPQePnygtZjjsqcdKOQjUABtpSpGqxP4wcY8yhM5dBSUql0ICDpaGPp7AjKjv3tESrl/3uC6k/1VfmPWvwMZWvxKugGgeQAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxOToyNDowOSswMDowMJ1lkm8AAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTk6MjQ6MDkrMDA6MDDsOCrTAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 45119791
{'hecke_orbit_code': 27021597797778458, 'n': 1, 'trace_an': 1}
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id: 45119792
{'hecke_orbit_code': 27021597797778458, 'n': 2, 'trace_an': -1}
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id: 45119793
{'hecke_orbit_code': 27021597797778458, 'n': 3, 'trace_an': 1}
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id: 45119794
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