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mf_newforms • Show schema
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{'Nk2': 448, 'analytic_conductor': 0.8943245026383403, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 28, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 6, 'char_parity': 1, 'char_values': [112, 6, [15, 85, 17], [3, 6, 1]], 'cm_discs': [], 'conrey_index': 31, 'conrey_indexes': [31, 47], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, -1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504630453076080, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 28, 6, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '112.2.p.b', 'level': 112, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '112.2.p.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 6, 'qexp_display': 'q+(1-\\zeta_{6})q^{3}+(2-\\zeta_{6})q^{5}+(-1-2\\zeta_{6})q^{7}+\\cdots', 'related_objects': ['Genus2Curve/Q/12544/c'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '112.2.p', 'trace_display': [0, 1, 3, -4], 'trace_hash': 2022670870653760867, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.995', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.974', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '100.523', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.171', 'prec': 17}, 'traces': [2, 0, 1, 0, 3, 0, -4, 0, 2, 0, 3, 0, 0, 0, 0, 0, -9, 0, 7, 0, -5, 0, -15, 0, -2, 0, 10, 0, -12, 0, 5, 0, 3, 0, -9, 0, 5, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 2, 0, -9, 0, 9, 0, 6, 0, 14, 0, 9, 0, 15, 0, 2, 0, 0, 0, -9, 0, 0, 0, 0, 0, 3, 0, 2, 0, -3, 0, 9, 0, -1, 0, -24, 0, -18, 0, -6, 0, -21, 0, 0, 0, -5, 0, 21, 0, 0, 0, 0, 0, -9, 0, -1, 0, -6, 0, 9, 0, -11, 0, 10, 0, 12, 0, -15, 0, 0, 0, 9, 0, -8, 0, -12, 0, 0, 0, 0, 0, -6, 0, -21, 0, 7, 0, 15, 0, -3, 0, 8, 0, 6, 0, 0, 0, -18, 0, 13, 0, 9, 0, -21, 0, 0, 0, 0, 0, 27, 0, -9, 0, 45, 0, 21, 0, 3, 0, -24, 0, 26, 0, -14, 0, 15, 0, 10, 0, -9, 0, 27, 0, 0, 0, 0, 0, 15, 0, -9, 0, -20, 0, 21, 0, 5, 0, 0, 0, -12, 0, -11, 0, -9, 0, 24, 0, -12, 0, -30, 0, 0, 0, 0, 0, 6, 0, -6, 0, -25, 0, 3, 0, 0, 0, -32, 0, -8, 0, 21, 0, -21, 0, -9, 0, -3, 0, 9, 0, 0, 0, 0, 0, -21, 0, 16, 0, 15, 0, 0, 0, -12, 0, 0, 0, -30, 0, -9, 0, -33, 0, 5, 0, -12, 0, 15, 0, 0, 0, 0, 0, 3, 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0, 6, 0, 39, 0, -8, 0, 11, 0, -75, 0, 0, 0, 0, 0, 75, 0, -41, 0, 12, 0, 81, 0, 15, 0, 20, 0, 18, 0, 0, 0, 24, 0, 42, 0, -47, 0, 36, 0, 0, 0, 0, 0, -27, 0, 3, 0, 12, 0, -3, 0, -21, 0, 54, 0, 0, 0, -30, 0, -81, 0, 6, 0, 12, 0, -9, 0, 0, 0, 0, 0, -36, 0, -15, 0, -21, 0, -75, 0, 20, 0, 0, 0, -20, 0, 2, 0, -45, 0, -77, 0, -33, 0, -27, 0, 0, 0, 0, 0, 51, 0, 60, 0, -45, 0, -51, 0, 0, 0, 42, 0, -36, 0, 21, 0, -18, 0, 15, 0, 6, 0, 18, 0, 0, 0, 0, 0, -63, 0, 3, 0, -16, 0, 0, 0, -27, 0, -42, 0, -44, 0, -3, 0, -18, 0, -12, 0, 30, 0, -9, 0, 0, 0, 0, 0, 3, 0, 25, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [1, -1], [0, 0], [2, -1], [0, 0], [-1, -2], [0, 0], [0, 2], [0, 0], [1, 1], [0, 0], [0, 0], [0, 0], [1, -2], [0, 0], [-3, -3], [0, 0], [0, 7], [0, 0], [-3, 1], [0, 0], [-10, 5], [0, 0], [-2, 2], [0, 0], [5, 0], [0, 0], [-6, 0], [0, 0], [5, -5], [0, 0], [2, -1], [0, 0], [-4, -1], [0, 0], [0, 5], [0, 0], [0, 0], [0, 0], [4, -8], [0, 0], [2, -4], [0, 0], [2, 2], [0, 0], [0, 3], [0, 0], [-3, 8], [0, 0], [-6, 3], [0, 0], [9, -9], [0, 0], [3, 0], [0, 0], [7, 0], [0, 0], [9, -9], [0, 0], [10, -5], [0, 0], [4, -6], [0, 0], [0, 0], [0, 0], [-3, -3], [0, 0], [-5, 10], [0, 0], [-2, 4], [0, 0], [1, 1], [0, 0], [0, 2], [0, 0], [1, -5], [0, 0], [6, -3], [0, 0], [-1, 1], [0, 0], [-12, 0], [0, 0], [-9, 0], [0, 0], [-6, 6], [0, 0], [-14, 7], [0, 0], [0, 0], [0, 0], [0, -5], [0, 0], [7, 7], [0, 0], [4, -8], [0, 0], [-2, 4], [0, 0]], 'ap': [[0, 0], [1, -1], [2, -1], [-1, -2], [1, 1], [0, 0], [-3, -3], [0, 7], [-10, 5], [-6, 0], [5, -5], [0, 5], [4, -8], [2, -4], [0, 3], [9, -9], [9, -9], [10, -5], [-3, -3], [-2, 4], [1, 1], [6, -3], [-12, 0], [-14, 7], [4, -8], [-3, -3], [0, -1], [6, -3], [-11, 11], [6, 0], [-2, 4], [0, -21], [-3, 3], [4, 0], [0, 9], [-7, -7], [9, 9], [14, -7], [-12, 0], [10, -5], [9, 9], [-4, 8], [14, -7], [5, -5], [-6, 0], [-11, 11], [-14, 28], [-16, 0], [21, -21], [-14, 7], [0, -3], [-6, 12], [-7, -7], [0, 0], [-22, 11], [5, 5], [1, 1], [0, -1], [17, -17], [6, 0], [-11, 11], [-12, 24], [20, 0], [33, -33], [34, -17], [0, 21], [-34, 17], [14, 0], [5, 5], [16, -32], [-11, -11], [-18, 9], [1, -1], [0, 13], [6, -12], [0, 27], [21, -21], [-14, 7], [0, -3], [-3, -3], [-12, 0], [10, 0], [17, 17], [-20, 40], [0, 19], [-26, 13], [-18, 0], [0, 1], [16, -32], [-2, 4], [0, 3], [9, -9], [5, 5], [-10, 20], [14, -7], [-24, 0], [18, -9], [17, 17], [0, 23], [0, -7], [14, -28], [-3, 3], [-15, 15], [0, -39], [-7, -7], [9, 9], [12, 0], [-22, 11], [-19, -19], [-4, 8], [0, -29], [-11, 11], [-18, 0], [-7, 7], [-26, 52], [9, -9], [-4, 0], [-15, 15], [0, -3], [-14, 28], [-23, -23], [-50, 0], [-46, 23], [25, 25], [0, -13], [30, 0], [0, -35], [0, -33], [-32, 0], [-22, 11], [1, 1], [22, -44], [46, -23], [26, 0], [-6, 3], [-4, 8], [5, 5], [-7, 7], [8, -16], [-15, 15], [4, 0], [0, 57], [13, 13], [-22, 44], [5, 5], [0, 0], [-8, 16], [25, 25], [0, -41], [54, -27], [0, -47], [-8, 16], [26, -52], [0, 3], [-3, -3], [6, -12], [-50, 25], [-30, 15], [24, -48], [17, 17], [-34, 17], [-18, 0], [-18, 36], [0, 3], [-27, 27], [-3, 3], [-3, -3], [1, 1]], 'char_orbit_index': 16, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 4504630453076080, 'hecke_ring_character_values': [[15, [-1, 0]], [85, [1, 0]], [17, [0, 1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '112.2.p.b', 'level': 112, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 448, 'analytic_conductor': 0.8943245026383403, 'char_conductor': 28, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 6, 'char_parity': 1, 'char_values': [112, 6, [15, 85, 17], [3, 6, 1]], 'conrey_index': 31, 'cusp_dim': 20, 'dim': 8, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 1030825705584, 'hecke_orbit_dims': [2, 2, 4], 'label': '112.2.p', 'level': 112, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 44, 'mf_new_dim': 8, 'num_forms': 3, 'prim_orbit_index': 6, 'relative_dim': 4, 'sturm_bound': 32, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [8, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -8, 0, 0, 0, -24, 0, 0, 0, -36, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 32, 0, 0, 0, 12, 0, 0, 0, 56, 0, 0, 0, 36, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -48, 0, 0, 0, 8, 0, 0, 0, -72, 0, 0, 0, -36, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -8, 0, 0, 0, 72, 0, 0, 0, 48, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 28, 0, 0, 0, -48, 0, 0, 0, -72, 0, 0, 0, -36, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 48, 0, 0, 0, 48, 0, 0, 0, 56, 0, 0, 0, 108, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -68, 0, 0, 0, 32, 0, 0, 0, -72, 0, 0, 0, 24, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -64, 0, 0, 0, -36, 0, 0, 0, 16, 0, 0, 0, -48, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, -12, 0, 0, 0, -24, 0, 0, 0, 24, 0, 0, 0, -72, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 84, 0, 0, 0, 68, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -24, 0, 0, 0, 24, 0, 0, 0, -32, 0, 0, 0, 12, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -36, 0, 0, 0, -76, 0, 0, 0, -56, 0, 0, 0, 72, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, -36, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -132, 0, 0, 0, 64, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, -252, 0, 0, 0, -100, 0, 0, 0, -48, 0, 0, 0, -24, 0, 0, 0, -252, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 60, 0, 0, 0, -72, 0, 0, 0, 120, 0, 0, 0, 84, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 24, 0, 0, 0, 60, 0, 0, 0, -72, 0, 0, 0, 144, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 252, 0, 0, 0, 32, 0, 0, 0, 100, 0, 0, 0, 48, 0, 0, 0, 180, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, -36, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 96, 0, 0, 0, -48, 0, 0, 0, 112, 0, 0, 0, -144, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 60, 0, 0, 0, -8, 0, 0, 0, -72, 0, 0, 0, -108, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 144, 0, 0, 0, 180, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, -84, 0, 0, 0, -88, 0, 0, 0, -88, 0, 0, 0, -144, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 24, 0, 0, 0, -36, 0, 0, 0, -48, 0, 0, 0, 144, 0, 0, 0, -140, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, -16, 0, 0, 0, 24, 0, 0, 0, -112, 0, 0, 0, 12, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, -180, 0, 0, 0, 84, 0, 0, 0, -8, 0, 0, 0, 72, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -236, 0, 0, 0, -96, 0, 0, 0, 144, 0, 0, 0, 72, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 192, 0, 0, 0, 60, 0, 0, 0, 304, 0, 0, 0, 168, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 180, 0, 0, 0, 64, 0, 0, 0, -88, 0, 0, 0, 72, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 252, 0, 0, 0, -60, 0, 0, 0, -48, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, -216, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 16, 0, 0, 0, -252, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, -48, 0, 0, 0, 36, 0, 0, 0, -120, 0, 0, 0, -36, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -96, 0, 0, 0, -200, 0, 0, 0, 36, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 96951
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '112.2.p.a', 'target_level': 112, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 96952
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '112.2.p.a', 'target_level': 112, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 96953
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '112.2.p.b', 'target_level': 112, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 96954
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '112.2.p.b', 'target_level': 112, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 96955
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '448.2.p.a', 'target_level': 448, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 96956
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '448.2.p.a', 'target_level': 448, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 96957
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '448.2.p.b', 'target_level': 448, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 96958
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '448.2.p.b', 'target_level': 448, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 96959
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '784.2.f.a', 'target_level': 784, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 96960
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '784.2.f.a', 'target_level': 784, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 96961
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '784.2.f.b', 'target_level': 784, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 96962
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '784.2.f.b', 'target_level': 784, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 96963
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '784.2.p.c', 'target_level': 784, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 96964
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '784.2.p.c', 'target_level': 784, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 96965
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '784.2.p.d', 'target_level': 784, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 96966
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '784.2.p.d', 'target_level': 784, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 96967
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 71, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1008.2.cs.c', 'target_level': 1008, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 96968
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 71, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1008.2.cs.c', 'target_level': 1008, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 96969
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 71, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1008.2.cs.f', 'target_level': 1008, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 96970
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 71, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1008.2.cs.f', 'target_level': 1008, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 96971
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3136.2.f.a', 'target_level': 3136, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 96972
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3136.2.f.a', 'target_level': 3136, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 96973
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '3136.2.f.b', 'target_level': 3136, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 96974
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '3136.2.f.b', 'target_level': 3136, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 96975
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '7056.2.b.b', 'target_level': 7056, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 96976
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '7056.2.b.b', 'target_level': 7056, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 96977
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '7056.2.b.m', 'target_level': 7056, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 96978
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '112.2.p.b', 'source_level': 112, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '7056.2.b.m', 'target_level': 7056, 'twist_class_label': '112.2.p.a', 'twist_class_level': 112, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 320500
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504630453076080, 'p': 2}
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id: 320501
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504630453076080, 'p': 3}
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id: 320502
{'charpoly_factorization': [[[3, -3, 1], 1]], 'hecke_orbit_code': 4504630453076080, 'p': 5}
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id: 320503
{'charpoly_factorization': [[[7, 4, 1], 1]], 'hecke_orbit_code': 4504630453076080, 'p': 7}
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id: 320504
{'charpoly_factorization': [[[3, -3, 1], 1]], 'hecke_orbit_code': 4504630453076080, 'p': 11}
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id: 320505
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504630453076080, 'p': 13}
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id: 320506
{'charpoly_factorization': [[[27, 9, 1], 1]], 'hecke_orbit_code': 4504630453076080, 'p': 17}
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id: 320507
{'charpoly_factorization': [[[49, -7, 1], 1]], 'hecke_orbit_code': 4504630453076080, 'p': 19}
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id: 320508
{'charpoly_factorization': [[[75, 15, 1], 1]], 'hecke_orbit_code': 4504630453076080, 'p': 23}
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id: 320509
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 4504630453076080, 'p': 29}
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id: 320510
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 4504630453076080, 'p': 31}
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id: 320511
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 4504630453076080, 'p': 37}
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id: 320512
{'charpoly_factorization': [[[48, 0, 1], 1]], 'hecke_orbit_code': 4504630453076080, 'p': 41}
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id: 320513
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 4504630453076080, 'p': 43}
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id: 320514
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 4504630453076080, 'p': 47}
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id: 320515
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 4504630453076080, 'p': 53}
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id: 320516
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 4504630453076080, 'p': 59}
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id: 320517
{'charpoly_factorization': [[[75, -15, 1], 1]], 'hecke_orbit_code': 4504630453076080, 'p': 61}
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id: 320518
{'charpoly_factorization': [[[27, 9, 1], 1]], 'hecke_orbit_code': 4504630453076080, 'p': 67}
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id: 320519
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 4504630453076080, 'p': 71}
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id: 320520
{'charpoly_factorization': [[[3, -3, 1], 1]], 'hecke_orbit_code': 4504630453076080, 'p': 73}
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id: 320521
{'charpoly_factorization': [[[27, -9, 1], 1]], 'hecke_orbit_code': 4504630453076080, 'p': 79}
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id: 320522
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 4504630453076080, 'p': 83}
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id: 320523
{'charpoly_factorization': [[[147, 21, 1], 1]], 'hecke_orbit_code': 4504630453076080, 'p': 89}
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id: 320524
{'charpoly_factorization': [[[48, 0, 1], 1]], 'hecke_orbit_code': 4504630453076080, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 16, 'hecke_orbit': 2, 'label': '112.2.p.b', 'level': 112, 'portrait': 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wuENcxPGzZMJSx3A7pDwSj2WBkINk8ZljqGE+cVNc9n8yxsnw/ZNDdi49yYzXNjtm+y7NysuHKHR101OXqizcPP+zx5IObZ4xGJ6vGdd3S46xWWuprjwPFpjp7RnL6QcC4F96FFy81XL/AL71phx4YpzlyY5sJKjaWOx3JHstJL6A4SBmPBwWOLHD69euUzhxdedeDkwkWHTi18/vbveEf44Of/7FsNiW/q9jeawZeWO4xCi1b86mPPHH7FL/yXT8rvvOXQK/7x/3JaL3U2stJtsdyps9TxWOpoljqC5U7CcidiaTXh3CocXhLMb1jl3/zQErdc1uDk+VnOXGhyZlFzfslybjHm1ELChV7M9OyIV17b57YrwJd1AhVwfrnG2UXNuWXBYAxxbKj5hmYtYWYqxgDHz8V0+7Brk0ezPsZaAcKnPzTs3DxmaVWDdVJktQ/jGCyW5U7Ito0evaFCKIswY9o1j51bRqwOBMfPaBKjmWtLWjVB4EEcCwZjybllydkly/mVmCAYgRfz8qv6vOJqwXy7ztJKm5PnA84swvnFmPPLMaeX4fCS5aarFvmlH1ph83SbE+dmObdUZ2HFZ7EjWV5NWOlGrHQTlnuGpZ7gTE+wtDLg3/+TcfyOV099rbHp75v61OVfk8L8XGI9/OBvbnb0byyDf/gjf85tt9zAP/tn//SXP/ixr/yf7//TL16y70TnogOn+vKOazvs2WqIE42xEmsde2MlIAGBEBYtLL6EM0t1Hj0kuXbPMlfsGNGogaclvqfwfU2zLml4kkHfY/+xGvc+6XP8wphuHLH/5JhNc8u89ZUrXHtJj5uu6HBsMWZxIGgEI46csXS6Ta65WLI6Sth7TNFqaF44DpdutYzChFHio3XETAv2nQxQOsGTMdqD4VhyyxUDhgPJtZckdIcJx8+02L1Z0WyErI4tG6cHrPS7/OmX4emjCc8eHbFr6xLXXd5lZjbkLS/v8T2vtuzZ3CKJpjl6eorDpzxOnjOcuhBx6kLC4QuCE6sRL7tsgX/zQz02TU9z8tws55caLKz6LHUkK52ETi9itZ+w2res9AXnB4rFbszNVyzyD966IAPFRYsXju+OovGtXmNPvd6Y/eLX7v8U73v/h7/VkFn39jeSwd//wY8xvWFeLZ099a+Onjj3Lx55+pg6vxyyMlacGliu2Xme33z3AtfvaXB+aYalToPlTo3ljsdyV7PSg5VOwko3ZrkXs9iBkysCXR9x+9XLfO+rQ3ZvbLLab3Nhuc7Css9iR7DccRJhpWfoDg3dsWUwiplrR+zcZABB4FlOXfAQMmDXRsXurZatGwecXxnzzMEWN15qadRXeP7QLK1mSBh6zM0YhiO4cueID315mst3xIzHlg1TkigZ0qoFvHBsRN1rcv1lMc8eCTm/5LNtLmD3Fti5OUSpiFOL4HsWISy7NsXMtCS9YUB/4NEdeCx3FcursNQxLHcSFjsJ5zqwNErYua3P975mkduv0NS8NmcX2yyu1Fhc1Sx3BSsdw2ovYqXnwL3Uh3M9xfnVmFsuP8evv3uJS7a2WFpt0+kH9EdtjL40CZqbf/nSS7b+0unTi8nNt9/1rYbOmtvfKIAf2H+AWq1WP3Pm1M6HHnvunUeOnfm3R46eJkokvRGsDgUXBoozvZgbLz7Pv3/3EtddXOfCygxLqw1WujWWux4rXc1KFzo9w2ovZqUXs9y1nO8IzvQtiD533dHhLbcYLt5SIwwbrHRqrPZ9Oj3FSl/QGwhGY0sYW5IElLQEHtQDy3TbsnE2QnsjDp8Nee5QgImbvOnWEO2t8sTeKS7aAp99NOaOawIudIbUtCJOImZnII48tBeztNTglTd0+exDLXZvgccPjvFo8MZbDLEY8tzhhKOnamjps2lGM9MU1AOB7wuUgNhAGFlGIfQGltW+oTcwrA4MS33LMEnYtX3AW27rcNcrQjAtllanuLDsZN1yV7PSgdVeQqcfs5qCe3kAZ7uKhW7CTZed5z3vvsBVu+osrEyz2mvQ6Qd0+x69AbSmthI0t/zLmfkr/2z79m0nxuPR8NJLL/9WQym//Y0B+KkTB5nfOO8fPHDoR/bvP/Tehx59Siwu9+Q4guHI0h8ZeiPhQD6UnO1F3HLJBX79x5e44ZIai6vTLK02WekGrPZ8Vnqa1Z6g07N0+gmrvZhO37DSt1zoCc52DDPTA77jph4vvyJm1yZFu+7R7dUIPAkowlhijMBYGIwAYZhpjTh42mJsyD2PNxkP6lyyzef2awdEZpX7n5zm+ks9Dp7r01lpc9u1A774RMCmWcve45b/7W1d9h4L2DQrufdJxe1XKpYHXY6cnOX6y0Luf25IPG7w8qt89uwYMYz7fOEJBYng8ClNu6HRAgZDibGCxFiiGJAG7Rs6fUuzFbFjy5hXXDngO26MmWvWOL88xdJqnZWuOzYrXUGnD51eTKcf0+kndAaW5YHkXE+w2Iu59fIFfvnHF7hud42FlSlW+w26/YDuwKM/0AzGrtY9jOtm5+5r7K6L9vzU7osv+cDS0mJ41ZWXfashBfwNAXgcRTKKBm/d/+zdlyyu2vc8/PATXrcvGIZOIgxHhsHI0B9bekNBJwX5mU7My6+8wK/++AI37vFZ7U6xsNKi06+x2vNZ7Ws6PUVnAL2+pTuI6fYT+kNDZ2BZ6AsW+hAlY667dMjm2YT+wPLm28ZctNkQJxItLWEE9z1T48SFGltmYp4/XAPT4IrtihsuNwS1AU8cHLCw2OTqi5q0p1d46FmPmy+tsTRYZWWlzebNlkf3Kn7wtX0e26vZvtFjsd9hZXmWG64c8NDzCbP1aa6+pM+FTodHX5ymrpvcdLnlsp0jkH2eOSrYOBtxfiHi/mc8RpFCSkiM5aItId9xW0ivr9g6Y7jhUgjDBsudBsudgNW+R3eg6PQl3T50BwndfkJvkNAdGFYHluWh5HRX0BmOuf2yBX7px1a46VJ3cXR6dbqDgN7AozfU9IeK/lDSHwm6/YTVXsh1190cjWL1z3/4B//uoXaz8WnP88y3Glvf8kzmeDQgDIc/dPjAU7958sSh2YWFFVp1iUUipAVAECMEIJwFKIRFSouUmscObOLn3qd52+3LfN9rl9m9LeTcUpvAr1MPfBqBR7Ou6dUlraHHVFMzGCX0hwmbxobh2NIbBSwv1Dh10hLGhtPnYoLAAgJfWbQUDIYKgUc80LzsIsGerZad2waMkx6fe0yx79AMb7gx4IYrV/jDz1l80eCibQOefUixbVqxoT2gpuqEkceFHjRrmu2bBE/vC7nhsjqvvn6RP7h7iO+1eP2tFi8Y8KVHQz77SJMXj9a5eGuDi7YkzM+E7N4Qcc1FCUoZtLKApREEzE8HhJFHb+Dz/EGP/kgzGCr6I0l/CP2RpT9w3703TOgPLd2hZXUICwPF+RVLY6rDT79pgf/l9jHXXdzk7GKbTr9GLwe3YjAqwD0YWUahJYoF9331UW9qZsNvPvzwE8uvvP3mf9LvD/6g2Wz8zwtwk/QQmB87eeLBXz289/7ZbreHlJoggNhYjBWAQggQIkEIkMJ10ihpUTLBl5JnD87z1IEmB89c4G2v6POKq0ZMt9osdxo0uzXaQ5/+QNNLT/ZwpBmMNaOxZRQawsgSRZY4cfcw9rEGpBJ4WlDzBdMtwUwLNm8wbN80YMNMh88/AQ885SHNFG+40eNlV/R48MWIcNTm9pcJOsMhF5aavPwyw4bpAXUdMIoVC90IZQQvu0zTaI15cn+NV90wxW3X9XhyvwI7xY1X+fzody7zxadD7n2syd4TNXbOKzbP1plpNZhqQT0AT1uUBGNh71FBkgiiWBDGMI5w33GcMBwbRmO3Eg7Ghv4QumNY6Esu9GBsRrzu+mXe+ooOP/B6Qxy3ObfYpNuv0Rv69IdeytqKwUjQHwuGI8twZBiNE8LIkiSWM2fO8uE/+9zswmr8777r77xKL3cG75ud+taB/FsG8GF/lfFY/uhg8Qu/unT63o0NL0Q0A0ahxVqDNandh0AIhRACKUnBDUpZtLJ4ylD3BIuDOh/58na+9FSXO65Z5V2vW+Wa3X3mphssrTboDQMGQy8FtnL3UDCOJFEsiGO31LvaLRdUag01Hxp1w2wrYtvGATF9Dp6O+NP7axw52WQ6qHPzVZqXX9vl0QMd7nm4za2X1ti5ZcCHvixQIqDdiljtjzEWlID59oBuz8fEdd56xwU+8tkGe87XeMutA8JoifufmyNKatxy1UbecnOXS3d0+NKTA5492eCZoz7bZyWzbUEjEPieuwilACEsxoIxlihOL9bIMo7chTwKYRhCbyRYGQuWeyD0iOsvX+Vd37HKHVclzLXrrHQbdHp1eoOA/sijPyxWgsFYMhzBILtwRu7iGYeWMBZEieLwqVV+90P3blwd86s/ctcr7OLiyu9v2DDzPwfAw/P/jtOLl9E595c/PByM39NdfmZDEq3QqNdAxKksSe15gQO2EEghUVIjZYJSIl2eDZ6yBNpS14KVkWKpM8NH72vyyPN9br9ulXe9fpXr93SYS+rEccBgVKM/9BiONWGkiGJJnEgSIzBWuCyosAS+oVGLCfwQ3xtzemnM3Y9LDp3yOXpqBmUC9mzxuXK34sYruqhggecOt9g23eDqi2Hz/ArL3TbXbJPExvL5xwLGA8l0M+aNt4z49P0RJ861uPwSj7OrI1444rFj0wzX7V7gwWd7PPSCYBz6XLF7lit2BFyxvcfhs8scOg2P7Wtw8EiThhYEWtIMLDUPpHRBlbXuYo0TCGMIE8e43ZGgG0FoYowdcdOlXd71HV3uuCZhy2zAaDTFUqdGrx/QH/kMhpr+yEmS4VgwHEmGY9c3OhonjMJ0ZQgNo9CmdwgTRWexw0f//Esbz58+955aoxn/zvv/8g/vfWGRj/y7v/+3F+D/9Nd+C2/j3dS79gdUfPI/xb3z0xqF8BQQg8UxEe5RCpBSIiUpqBVKCbQyaJXgaYGvDb5nCTxLw0+Yrgl6Y4+V7gwff6DNl58ZsWlmwDtf0+GKHSNGwz5X77bs2KwYRx5JUqT5BRYpDZ5OOH7ecvScYHVo+NSDDU4vzmBDj5maYuucZtdmzcXb4Oo9XYxc5Hc/3WR5eYpbr9BcvafDl54RiNhj44yk2YgZRD7SSrASpX06I8H5ZcFVtsFrbuzxtSfrbN3gc+vVs/yv37nIBz7b47H9Tfojj6XVFru31rl8y4BbLuvx3a/qcWZ5mU89GLA0CDh+1uP0aR9PCaSUCATGWhIDkbEksWFmLuLaqwaMxxFX7Bjz9teM2TilmG0FRFGNsws1BkOfwditcsMc2NKBeywYjXFgHieMxsYlsULLOAX3MIRRLBhFYFEcPdNl758/smHnrq3/6dbrNkYf+XfXfnjx+HvYsOuf/+0D+P/+q3/Ky+54p/jhn1Hv2Nx8/vfe+YpnGlfuqtEd1hmHPkoahLCp3nZBpJAWKRVSSpSUKbglWgm0Fng6wdcC3zPUPEs9sjRCy1QtYaYuGISSXtjk6Kkmv/7hWTAxIo658doBuzeHxDEYa7DWJXGkEEgl0J7P/hM+ew/VaNY0LV+yoSGYn5NsnNVsnVfs2pJw+a5VErHEf/5Em+Mnprn1Mo8rLkoYxj0efi5guu4xN2WZboU06k4KGSPpjBTLfctSJ6HTr/PKq1d5fO+AfScU0+0at1w1zY+/dYn/+kl48lCT/tCy2tOcX26zeUODjTMjds2N+KfvGNBudHj2KOw/KfE8i1IWIQxg3f8txDFctDnh9mtiksgjigOsbTAKPc4t+gzHbkUbhSqXb8NQMBoLRqFjbQfihPHYMA4No8jkwB6FllEEo0gwDAX9WNCPBN0YhoOIjatPTf/dG+d+7z+cvxB3wn/20cVj03bDRe/+2wPw3/gvH+b6i5rqs1/54F3HTy3/4QcfXq09s6/Fe97d4bIdMf1BnaEMUCoNHpVBSS8NJC1KqVRvSzztNKfvKcaeZBwagjBhHFnqkWEcGcLQ0o5hHBnGMYSxYBRJxklAlNTYd6jJM/sgsRYHbaeNPQm+cjUfrQCu3gLtOkw1JTMtxdy0ZuMs7Nw8Zsv8KpFd5j9/YorDR6a44WLFxdsle7av8JUXYs4vTXHjbslM21DzhwQywCpBnEiEtcRJyEq/xvkljxuuqPOyy3o8+GSNTTOCRq3FDZcZfvquJf7TJw0vnG6x2jes9hQLK5oN001m2nVm2lO0GxHzzYhdN4QEXoynY5RKkMIFExZ3UUWR4sKCJooVUawII8U4Sh9DyTiSjEPJKJSMQ+EC1FAwDi3j0B3XcZgQhqmmj9z7o9ABexTBIBL0IkE3EvRCSzwa8bKLlvmVd1/gzivONpaXmn84TN5nFvtXfWLf0x9Krrj+B7/9Af7JT/wJG2cD9eLhhbcvnDn7B/v2H68FrTaffwx8bfmln+hw5bYYT8X0RwYpDUr6KbA1Slo8ZfG0wtMWL5T4nnAnwROMfUUYOaBHkSWMXUQfxaV7AnFiSRJDYnB625CDWwhQErQEz4NAC2qBoBFImg3FVEMyMyXYOBuza/OAVnOVT3wt5P7nZlldbHPtTsWuLR6X7hiRiFU+/1iDpqeZn1G0GiOeOwwvHtFcs8MyGCuuuzTi2j2Wc2cTFlZ8hqMGb7q5x1efHXLwtKJZlwR+m2suNvzSDy9x3wtDPn3fBpa6ll0bE1Y6mum2Yqrp0Wp4NOuWWmAIfEOgE7RyUkumrZXW4hJWRhAbSZwI4lgQxdIFhpFkHDnnJYwEYWQJQxhHCWFkCEvEMY7K95S1c3BLViMYjGNkPOSGXcv84o8t88YbYaU7zXLneG1gZv6oG2/4iYuveueRzugHHpyqpVfityvAD62G8sDi4PvOHj/zW0+/cLLWrmnGQhDbFn/5EISh4u2v6fL21/aYaSf0BjWUTFA6QWsPTyd4WuNFmkArRl7KNp4k9AVhJNzJiRRRDGEknYMQF7ZfnBiSxLkLiU2dkvSwZu6Mkk72+FoQ+JJaIGnWBe2GZbpl2DQ7Zn6mR2xX+ehXJR/47BwbazWu3SnYucXjoq2GXVtW+MTDluXlGldsVsy0odWIOH9McmElwN8N40gwPyWZnoaDRy0rXcO5xRqXXlTjtTf2uPuBGnMtCHwfJae5Zo/gJ95yAU9e4C8fnOHF0zU2dSM2TsdMNRWtuqJRl9QDTeBD4IHWzmHK4pgc5LgLOzGQJII4IQU6RIkljCGKEkcKkSHMHiNDGME4zlyZ1IKMBcMokyOSXmQIRxFTQZfvfdMi73hNn9ddL+n0mwzHAUlSY9Q7XBsY/4NLC/v2ae1fB0TftgD/rfd/kjgyP/zlJ1749y/uP9E2iYcS0FKW2FP0afH5xxQPP1/j7MoS/9tdfWbaEbUgpjeI8bSPpz087eGHCaGn8SPFOJKEnkulO8YRjolSVopjiBJIEuckGOMCLmNs1sOZgtsB3Gl7gacdQGoBNGqGVj1muhUzPz1kw8wqX9sX8kf31Nl/dJqLpjz2bIbtm322b4LLd3YZxF0e3dumrjzmZxTTLZhujZmZivF9jRDu4hqOfZa7EasDS6cfc2HFZ+fmFrddcYF7Hhuw/3SbRhDhKR8hptizTfH3Xr/ITZdf4I/uafHo89Ms9TUb2zHTjZhGTVKvKQJPEHgSz3OxilJp0J72VVpcD6sx5ECPE5Oubqm1GBvixIE7jiCMbXGPnCszih2pDCJBNxb0EhgNY0w8ZK7e46e+Z4n/6/sH1AOfTrfBcFwjjDyMhVbDYEdPsHriwsaZDbe/6/ALn/jAnqvv+vYD+OpqB6Xkj/32B/78V48fPDOnEo3vWRIjsNZiMUih6MsGqyPFv/8zj72HV3jrqwa85voem+bG9Hp1htrH93wC32McaoLI2Xuh7wAeRZIwdstuFKeedkJq/ZEyt8RYCnC7JGXK3KCVS5j4nqXmG+q1mFYtZqY9ZsuGLuc7A977KY/PPz7L8kqTS+YFOzcKtm302b5RsHvrCO2v8pH7NUdONrlsk2SmJZlqJkg55vSCJdASKcBaQRhpdm3s8hgJ3YFipWs5v1znsu01vvs1HT72JZ9j5wM8HSGEh7FNolhy4+4Vdn1/l88/OeBDn5/liWNNts0INjQTmrWEmi8IPIHvuVhFK1zgLEVek2FxF5mxOKclcYDPQB4nTtI5sEOYuFqXMEsexYJhDL1Y0othGBqSwZjtG3q8+oYVvutVA958k0GLBisrNcZRwDj0CCNNFGsSI6npJqPO6lzXH73nyuvvUoNB932NRvvbB+DdbgfP8/7XBx548FcP7t+7cUPLMEo1XpRkrAJaGDwh6Ika3VDzka/UuO/ZHjdc0eX7Xz/gLbd2mJsOGI4ChmOfwPMI4+xguQApjhVRIoljSZQI4liSJILEiEJrG0GuSixpRtQli1SaLPI9Q+An1IOYVn3Mhuk+w2jIl56z/OlXpnj0+WlmfI9rtlm2zEo2zflsnZds3xRy8bYVnj025FNfnWdKaeanBO2moN2I6AwSPvtwjZbvHCJjYTjWvPX2MZ95xNXEdPqGCyua7RtbvO0VfR7d12PvQZ9mEKOkcCA3DUah0/p/77UdLttygY/c1+WhF6c5sVJnc1swVbM0fENNG3wPtBIoSZogc987Kz8yqVQzpljh4hTojiAgSgRRkgI7EYxiwSAW9BNczBOGNOsD3vaGZb7v9V1uvCxh04zHcNSk0wsII58w8hhHmiglpjhWjGPJYKg4tXhw4zB55Fevv+l20+l03z819dcP8r9WgC8vr3LobJ/VAT/0pfse+I0HvvKludXVFQLfRTtS2HRoZYk9pcWXgr7y6HuKU92AM480eOS5Ph+7tsfbXzvkjbePmJ32CccB49gjjDyi2B20KFbEiSJO0oRNUgDc2JS5TVFTllmRSro6Dq0NvpcQ+BH1IKRVH5Iw5ItPSj785WmePzqFiAIumrFsmbZsmFbMz/ps3iDZOh+xc3OXkws9fvvTTeJxne3bBdMtTbsJ7UaE8EK6wybTLYsQAmshiiWzgSI2Mb3IpzdIWOkqTi/UueriFj/5d1d5z58EHF9oolWUXhiaOK4xCiWb5wJuvKTLtRf3eeH4af70K3XueWKaM506zUDR8qHpWXxt8ZQ7xkqmkqx0vgxgjbvoEiNILMSJcP55IggTlyQaJoJhAsPYEscxJhozVxvyptet8s7X9bjjmoipukcYNVnpBIwjnyhyRBTGaUItUoSJcituJAljRa+3yvGDX9q4fdP4N3Zecmtsk0MfHIw30mz89XUI/bUCfDAYcvm25nd94SuP/dePfuKedjzq0Kw7J8T3wHnNDuBKgBIWnboXQWKoKcFA+QxizYVxjb98pMn9zw+45d4+/+h7ely5s8vGaUW7oR07xB5xXIA8yQBuZNrp4ySBzQPKNNWvrEsW6ZjAj/FUSHcYsdCN+I+fqHH0wgxP7p3GGp+5umDjBsuGKcFcWzE37bFpTrJ5Lmbb/IC56RU+/5ThiRenuXa7YKYlaTUk7YahWQ8R3pgg0Gjlfr+1kCSS4VgzHEXERtAbGnp9y3LX49xSm5df3ue2q1b5yL016ssKLV0cZqwmTnzCyPV4bpiucdOePjdd0uexV5/h+ILkj+6Z5sJqg1NLAb6SND2Bn8mwlFxyIs+kCo7JYyuIDURGME5gFENoLCQxxBFSjdk6M+TaXe583HxlQruuiWPH2OPIJ451SkAqBbhKpaMDd5Q4WZkkzqnSrHB47xfnYuP/143bb12Jo8Gn/jox+dcG8L37DrBt22b1/j/88CXPPnegrZIOtYbOgxxXBQgqEag49bcT0InAUxY/tgSJoKEEQyUY6IBh4rEU1rnniSm+9uKQZjDm77+5w/a5mIu2Dnn51T20cC1iQrjlz2UlXa20tSXmxiWOlHCeuSUGGfPCUcnj+zR3P9rihRMtwrhBSyvm65bZpmWmYZ0P3tbMTmnmpgWbZ2O2zg/ZMr/C/c+P+d27N7JlWjPfhnZT0W4KWo2YejDmawcUo1DjNR2orBWEsaSmFddfNuSR56Zd4dMwYbXrsbgacH5xhp98y3lOLS7xyNPzeBIQEQZyAI1DSX+omWnVmG43ue2yAa++dsD337nAvpOGzzxa49F9dQ4caRILzXisGEQKJaQ7H5XAM80JWENsLNYYPJEw5YfUiLjthj67t4zYviHiXW8cU/clzbpHGDbo9Px0JdUp4ajca49ycMs0+E9lZCKJE3csRqHPiVMhF1Yfbm88uXjJna9/hzp14lCyfeclf3MAvnfvi2zeNOs/+tjjP4JN/n2vu8x028uDGWsgkaAMafJGoGKcREgsOgZPCjxjCWJLTQkaiWBsYJR4DBOPQVKj10v4jY/MYOOITfMjrto5Ym4q5u2vHbJzY0gUiVRvSygxN6n+lNIgpODj99V59nAToTXHzzQ4fb5Bra6YCgTTTUu7ZmjXoFUXTDUU7ZZipqWZm4YN0zGb5kZs29glsat8/Ktthv0ml263tBuKVkPSqhtatRjPC/n8IzXGA4m30XWLZhKlWVe86ZYhDzxl6I8l/WFCd6BZ7WnOLTW4cneLt9/R5ckXGhxfbqGkAaJUL3tEiXOTRqGkP9J0+j6teoNmfcyV20fcevmIkxc6HDu7ivYSnjmi+dhXGgjlCteYnD9oDWDAWqIwYdemmHe+dsiGdsLluyyb5iCJPcZhizj2WOl6xJEiSnQaBzkZEicO2A7MGbCFi5NS/z1OivjIIkgSn9XBCq3p+N8/9+wTg01bdn/gwIG94WWXXfk3A+BnTp9ieWnxspOnTr33maeflPWakwvuZKT3xHWfqFR7K2nRRqBjpxOjxOIlECtBkFhqxhIngtBYwkQwNpJxIgmNR2Rgod/mK88aLAl/8agb2YA16T3L4qUWmcgqEiVSKeJII43G05JWALvnLU3P0AgMjQAagaBZl7TqTg5NtSQzbZibipmfGbN1vkfCCv/xz2s8+NxG9szBTCNl74akVY9p1EOajSH1eoNASZRMNThODkSRx2goGI4TemPlOpaGxrXMNX1OnZ/ilVeN+el3nOc3P6Y5sRoghMHaCJNYotgjjCSjsStjbQ01zZpPo16jETSoBRGtesiNl4b4XsTNl8a863UDtIrTJJArjaiI8lTSGSMRQhJ4CvAZjTVLK9rV7SRZzJPeY1nEQClLx4nMAR2lDlcG7iQRxEaQJKnuTz35KLE88ugTchiq93a6w6+Ox6Pn/zqw+f8Y4Pd96S+YmtL1o8cO3XXk0CHRamgXgcdp5jBJAa5cb2MihQO3cpF6/pi4P4+ziD5Jo/ossjeieG0EoZHEVpIYTWQCktT2Kt/yLKUALYTLVCqo1S01bamphMCDQEPNt9QDQd2XNOqSRk07gDcF0y3DbDtmbnrMxtk+Wzcu8bt3Gz50zyZ2TCs2tAztpqLVUDQb0KgntOoRZ5cMh88G1Hx3QUNW6ScYhZrdmw2bN4zojnzXljdM6A4kqz1Nq16j1ZjmXa+7wJGz5/i9T21DS43FkJiE2FiiWDMOFcPQFUUNapLGSFMPPOpBQqfnYgzfS1zCzEvQ0jVKSOnS+SK9u9IVAYgU5IKOSassjYtrHGlJYlPEO3EuOWSaPCq/J9awdpK6MxnAM8cmjl0x12OPPy0uurh3146duw5/5M8+Pvy+d37Ptxbgga/9leWFn+2tnv9ZJUayUXM7EShl0ys2zSQaSyId0FXK5jqxxAZ0QvqF0+SDSS+GFOzubos0e1op57xckQdKZc0NWUWiC6y0NC6gVW7F8JTA09b5xlpQCyQ1X1IPFPWaolWXtBqWqWbCdCtmtj1mw8yAnZuWePTAmI/ct5WZWsCmlqHdEA7cdUmzZmjWYlqNMY/uh2f2Nbhk3qa6t0ibD8eKmy+3XLpzyGPPTzMYW4ajhP5QpyD3aNTq1GvTfO+rlnnmwAUe2bsZrMKYxJXDxpY4snk9yXCsaYws9Zqi5hsC3yPwEwJt0DrB067EOKv5kdKVBiMsgkLPFcG5KyE2mSNlMvu1ZMVmwDYpiPPXWbZUpEB2YE7yR0dWSZpFzcoqhr2+lCfP/KsgqPutZuuXgfBbBnBr+zIcD3/xy5//k38y6J7xa76Xs6aMBUoK4sSiYlFicUOS9hEmyqKNTVne/R2TL11Z9hHHzinITZqJy/W9tZQy75UVtyi5zWRRmrFUlIq2XPYv8BW1QFEPBI26oFW3tBsJU82Y6daYuakhW+dXeGT/kF/8g02cODXNxRsM0w1o1xXNuqJZg2YtoV6L8L0RnZFFSYWnLFIWn8ydcEkU+7TrEYPYMEjrrAejhN5A0qkrGr2AWtDios0Rv/QjHf71H0oe3rsJi8JYQ5IY4iQmjA1hpBiFimEgqY8VNV8S+JbAVwTa4HnO79cqLWZTDuAqlSlC2GqDbpratymJ2LSWJUkBn5ji0ZGRLGRHBvD0eZmtc2Dn9UEumxrFljBKiBM4fPS0r3Tzn//4j77JW1we/ssNs/W/cm/nXxngh071OHQq+eWzx774j0V4sNZqKAYjg7WuE0dKULEDVSJFysqWRAlMUtbmFqOy1wJjbJ5GNrlHCzZtYUvSEtDynQmAp7I7DSxTS1IKlHKSSKetaJ6WBL4bAFQL3EiGemBp1gytRkK7ETHVCpltD9k6v8oj+wb86w9sYP+JWXbNOoelVZc0G9Kxd93SqCU0ahFREvLH97aQSuFJixKFTWhstoR7/L03rPCFJ0J6YcAgBXh/qOj1FZ1AU/MDAq/N5Tti/u2PLvELHxA89PwmjJUkxqTgcIVm49Awrrly1yAQ1DxB4LvMpq9tnrHVyiCVi4eksK5RIgN4kfIEUhLB5RKc25IG8hmA06kDJk+ukbI7+Yqbr86lxwwPcWJIYuu+Q2wJI0MUCx555mjtyofu/T++967XC2uXfk6Iuf93Af7sC4fA2tv2Pvtk/fodIVrV0MpVCEKWPXOgihNnDyZSkOTp4Qzc5GA3JYZ2z8kB72w/m7I2WbkzduJz5StIVmciKYqp0jpyB3CJ50lXv+ELaoGbedIIEpp1B+52M2S6PWR+usOj+wb84vtneeH4BrbPCOaaJWlS0zRrrn6lXoupByGeN+b00gyeEmmte6pvSVejRBLHii0zljiO6Ea1tFPGMBwl9EaS+kBR8z18r4anp7hie8y//V8X+Pnfh0de3EhipAN4YoniJGVywzgw1ELJyFe5BPM88HTqXCnpcgGSVKbgau9FcQzLpGFtmgk2Katn8jBNDmXZ4iQpvW8KyVkA2+YrcRafxcaSpIVxUZzWxRgYjcacPPJIfbhy0W1S/tV3nPgrAfzBB+5l5zYa/+V9n/HnWgmrvRoWgUz7GItWM+eEKAmJoljCpGPqRJODvQrsTIbYHOg2kyPZ85f4bFIURVRSgpQiB7eSMm2UyOQJ1DwIfEO9ZqkHTj836hHtRsh0c8iGmQ5PHBzxC++b4bnj82ydVsw3DVN1QasmadQUjbqgXnMXh0v1hzyyV9Af+dQU6UXmNHjWhJAYQRRrmjXFy6/u8egLbQaRkynDccJgqOgFisBX+J6f6udprtxh+LUfv8DP/A48tHcjkZFExqTN0kUP5tiXBL5x7O0VdfRaZXdSmVLIOJlmedcDeZYUshnAU8AnufPCuiuvSWOpqqNm8/KApFQD4wrjHBnNtRVnzyTcffcX/Q0739T47Oc+P3jLm9/0Px7gixeOMze/dfqBL3/6ty/eGr8qiSxRIvPmhOzgCGGJpURKWyxbMj0IOlvSwCixPmuXAG1yYBdNwaTaOz8ZwhUUCVnq40zB7QDu2t487ZjM93CdQH5aYBUk1FN50aqPmWoNmWl1efrQmF943wzPHNvI5mnNfMMwVYdmTdCsKxp1RSNn74RaENNqjLj/GZ/VTo2ZmSJNngHGpNo0ShQb5xSve1mf+x83rosmNCWQS2qepOZpPO2jdR0pDVfusPzqj1/gZ37H8tD+jURGE6UVgK7s1TF5EMm8utDXEq3TIiwpUDo7NuSfL7sIM6kisqo0ioTQ5N2UHo0pPeYrb2m1tsVKnZSAn7F2xvBCuMaT5U7Ck3tHr7pWH/397/nut737wKFjq5ddctH/WID3u2cYDRZ+Jhoc/r6Wv4CoeWl9icVakc4rAZm4eo9EpsuVKq7wxAiMIr/q3YSmTIaQs3clkJxk7hTpWUYu194yq6ArdHdWMZhJKE9bPM81Ftd8Q81PqNdiGrWIZm1MqzFidqrDkwfG/OzvbODpI5vYOO2xsZEw1bApuFP2rknqgWP/WhDTCEJiM6YXBggl8TIGzzW4SNktzexFHk1/5MoFwhozGchHCQPfMXjgS1cTr4P8WF9zkeU97z7PP/stw0P7NhEZzTgRhIlJWVxQiwyBZ/E917uq07hDK1ci7NoA3XFyMkWUVkB3VPMLsxzrTIA7J6ESMZXBXcRV6eqcgdtSYvSU8UtFYImFpQPnCc2h79ux8+nDYRT9/P9QBrfmKIhtu/Y+/r5rZXKcuemEOEltJZNZdgJpXLYyMZBIm2uy7EPny1iq3Uy+bJcPmCgxRZGVtOU1M2PtclCZLbdpjYtKgymt086gtAgpqx6seUmqmyPqtTEz7QFTzR6P7I35ud/dwFNHNjE/pZmvJ0zVLK0U3PWasxMzcNeDhJof026G7D1mue/JJr6UeMqkQVzhUWTLd5QoYqN5zY0Rl1zc5/CJOvMNij7HccJglLKwVmhdtPEJYbl6F/zaTyzy879j+OoL84yiukuGxZZGWsMdeDiQ62z1MqlEkUiV5CuckqIEcFECOWv0SgFyWwV4Ds5i5V1vZS7q84vnGeAzfe/IzF2oz+0/C8ET1/4f//jHd3316XPH77h+818/wO9/8gxffGruoo3+/f8h4Ph3TTWWUKLBOLJpgVPWLSJRtliGjUztP1suX127pGX+sM097QmXZI1bkjL3JLiFRaoiW+qSSilra4uvDZ5nCDxD4MfU/JhaENKojZmdGrDSG/DA8/BrH97Ms4c2sCEF93Td0qoLmjWRe+XOeTGOvX0H8HowJkwSRsMaNeUuMilEpZIvS6S4QFM7La/HjEPLMBIlgBt8P8H3NJ4n0UrlvapZFvK63YJfe/cKv/EnMQ/tm+NMp82oKZlOLK3YUksnDgSeTb3/zEmxOXtnUiUDeP550w9dxnmuENOTkq2qtsS8ZUlZgNbmBFbIlyK/kWOhdAG4sReSxcURjY2L33Vw/5eT19529f9h7aFjQnxztSrfNMAXzp3CD1Zu/fzevXdtrz/JbVfOkhg3Ui1KTJrlSsGceaQySxKU3s/7A7Pl2pbYvypFygDPDnFZFWYnwY17yNjbpvLEloYDubJYT5t0zESSgzvwU3DP9llYGfKrf9zgUw/Ps9ifYX5KMl9LwV1zuruRBpb1QNIIbMrgTnvXghAI+fLTPiuRz1wA5XpsRHWFShLX/NAONK+9YcAj+0N6UcBU3rFu8MeuVt3XDuBaWZT03PyYNAN5xQ7Jb/6jLp95ZMgvv38TpxZnGE5rpn1BKzY0YggiN3rZV84I8LJAU4o8CM4ey4F6+cIUIu8Vyc8PTEjIMrBL8VMltioHoRVmL95LDESxq0FfDTUrq0/hh8Fd3eXpPx4Oe8f+Whm80x3QbtUv/dJ9D/3vo+W9bNtRc5s5KYPRCUJIEpHZQ1n2K3stc1Dn0Xb5MZcgtiJNKqxdliXpgc6YJUs3Zy6AygCuLFo6YGvlwO3pBN9L8L2Ymh8R+BGt+hCtB9z/TMLvf7bN3Q9uJDRtNrYFG2pOljgLMPPJVXoXKXOX2TtC6zFfe3GaQajZ0sg+zySDF8cmihU1T3HblUNi4wA+jITrWs8618fGBYdapCzuLmSRJtctgg3Tgu+7s08rOMP7PzvkgRfnOBfVGdQk7djS1NaBXKdxiLJpXJIWv2WxU2qt5vEMBYtP7iiYS5VsRAVVXV6Ooyryw2TVi5PMTR6LOQnnkkFKClY6Db76taOcO9FnHMXfLL6/McB7q8d54MH7aLfbWy+cOfzqHbMRM61ZhmM3e0OrBJECKzECZUrpXVNySGzB5hU5kmltCq1dALtkPZTtq3x+SiZNsqwcaVc++eSrjLk95WoxAi/C9yNqXkijMcL3B3z4Hs2vf3Ajhxdm8YIam1uC2SChHViaATTTDvt64LKdtTQh5OpXknQlcPJksZvQD318pfClzQNMSl8lu7Cz2o0w9qh7IzZPD1kdtBhGIh235mIFz0tSm0+ldqdyAK8Erq7y8bvu6HPzVQv82h+N+NDn51mOmwwCj6YnaWtXgxNo8BV5M4TOkj7pyidzqVIkgMqkUhUrZaBTWYGrYC9r8yqoC5CLCrPHabVh27eMe00eeTqkUa//6927L9n7wT/4veduu+PNXHHpzv9nALc24Ttee8tFZ0/t+93F4y/QnFUMRh51P8oPspQJxhiUkRUgVx+zbFgBcmtFKaAog1tMSJMM3LZgkzT7JssAlxYlTerHZ8ydpCCP8bWTJIE/JvCGHDsf83ufafLJr85x5PwM7YbHbA1mgoRWYNPUewZumYJb5kmhWqq9A99dOO3mmE98TXPweJ1aOoErbxejQHk+xsE6HR7Fmit2wXfe3OP3PzdHv6Fpp7NHgjCNG5RBa5lO+KIEcq90styqsHOD5Od+cMC1u0/xO3fPcuTcFMtxnYGnaSpBIwW6L627cFKXKV/9RNF1JUS6KUzW1ykgK8sq1tTSSpuVTuS++VpL0ZZZO6slKt2TzHxI/62WUPcsK13BQ09fuPaSq17x0de96dVvXu10v6FU+boAT5IQKT06Cw9tTwZP7dk0dQakh6+TtOQyq5AToMAYUynOsRPgzmsbUqDbCfbOWKBghYy2bUUHZsB2j9koZQdu55pk7J3g6dh17uiYIBjj6zG9JOS9H/V5/2c2c3ppGqPqzE4pZn3LlG9opMzdyNP3Mq1TSaVJ6p3n4PZd9nIchRw8FdAPA2aC1MXJk17kiZ5ysidOJFGkaTc1u7eHqGBEL2wx9AX1yI1F81N55aUSRWeuh1AvEbwq5qcG/OR3DbjrNed4/2e6/N7H51gcNhnqGjWtaGhBXbn6ez/t9lFSpNlN0tXQrs/krCNXJh0WwK4LcFHS55NsnjJ46d+B+yzjWLAylJw7sMKmB/buSURt+1tff+Ox0TiiFni81O3rAzw8Bbo973nio6b/VW9mSpAYgxCmkvWCoiCnYGhT+kJpsU6pQo3Sly0YW2DX/SS2ZAfaHNgVeSLTKjmVOIDrBK0SfC+i5of4XkhnFPK1ZyUfvqfNx786xyhp4fs+c75g2jc0fUsjsDT8Aty1QBIEkiCVJi4xlDoTKcB9z2U+j561PPBEgzDyCJp2TYBZHKtSvGIkYaTwPM3rbu7xkS/22X+qybDmRjOMPYsfgxcZvNCglHS+tXQDSfPhPhTHMzGS2EgagWbT9JB/9r0Drtw55kP3tHh87xQLwyYj5eN5mpoW1CUE2YClzF6VNh16Sgnk1ZqVyeKsMqNnBJWxcP69JxJDNv07FQYvER+43x0aGMYQG4+PfOE573V33vLRMxdWX7a02l/4KzO4F2yS4+6zt/YvfHrK032k9NJiqsmrVxQaugJyWQW5rZZiZrIkr0UufalK4Y/r0XFMnqeUTV7u6XS3iwdUes/kiNYRnX7Eg88L/uBzbe55corlTgtZr9GqK6Y9S9s3NDxLw7fUfVLWdsxdDyQ1X1HzBTWftELPpOA2BJ7T30qPOXAKTndqLrGS6ttq4qSon3F9kGkpqZGEoWZTW3DpjiHPnYgZRB7jdMa3H+LAp7LJulmiBuREZ07hUqXyJ3H14e983ZA33rLCl57q8Yefb/P43jZLvQYd6dP3Nb4S+FIQSFwPp3S71ClRXKRKpGW/rGXwNfUrwBpdPgHmfBhRBdwl86H085zsd7Uv/TjmvX/ylal3v/POW++46bLPpYfzvx/g/c7RIInj3xr3jjQ9neAJk7aCZUwrSvpZps00ogJoY2UpgBR5h3sF4ExIkvxLlaWJrRToO1liUs1t3DQsmeBnboaMWOjF3P+E5rMPtvjUA1Nc6DYRtRpey6OtYcpznTx1j1R2QN0X6V2mJaep7vYFQcbeGcB1jO/H1PwQayO+/GTA8bN1NswKPGlSHSuKRt8S2+Xlp6mkGI49dm0SvO6GAZ98OKQfeQwjQc1z/ap+DOPIllYplfvVCFmRKTYjl6xRwTi/vR6MeeedQ77j5iX+4qs9PvNgg/ufbXGh02AofIa+RnsKLYRrIZQSL20MV8KiECVpWLUPJ75e+lmKiy57tExqbgfahDQJmDK4oaThS8tDllB68eDxppbhbx09eeJKYPhXAvjhI19D0WFOHWV2WhOFksQoEiNSoMsSUAvdXb67Hkn39/NiHStyMLt/X7JJ0m9SXgZFCdiZPFLSIFKAa53g64haLWI0Tth/Go6dUfzpvVN87vE2F1aa4NXQbY+GkrQ8S0sb6p6l7kHNc+Cuea7T25WZytJdpH9uU5CbHOS+59rTDp8xPHc0AM9Ll3lbStGLCgrKQZirlxbEiRvnfM3uMVdt77PvdINhTdCIBUFkGStSa8+k7J25KZkFWWiV3GfPbFqj0ukDHqPQo14f88NvGvPWl6/yhSf6/NkXGxw7U2Pf6QbhakAcaEZaI1U61RfQ6WPG5Ll0oQj+1zB52U3JgE3K0BSMneTvOzCb3G1II9LsMbNbQsOiWODYqWenb7vh+36g07e/P9UUrHd7SYCPR4dFFPb/93vv/fUNLxz0eO2NETddGuNLgdKSJFKEYTaeQVaZYwLkFkmRbi/eLx+I8qERongUWbdJxtrCpLs8JASBm6QaJwnnluDer2gOn6pz36N1Tq/UOXymCUGAamhqWtHUlqY2zkXw3OD8mufGtTkQZ3eZ3lUKcFLNnYLbSwg8x97uwgo5ugB7jzXwZNUezCUKRT140YydJcHSvsbY46pdQy7dOOD5IzGD2KMVCcYa/NjNBFQlgEspEFJWmDxjysKCE3kwm/VRRonH2PNp10P+3hvG3HFtl9MrXb78mM+RkwFfeLLBmaUaydDDSE3kK4SUbqVIu/IlacYTctmSEdKks5JJjUqWmiK1n1+VlHpq8yZoA5G7C50gVcwtV454zY19Thx7bLrTfctPj0aj90/82m8M8F/+nYeJk+T7vny/bL5waDMf/sKIa3aPePVNI666KGbLTMQlFxmUFSSRrCyJVVCXAV1o77K4mnBUSxF7wdq5FFEJXpAQJZYjJwXPHVHc+2iD54/6vHi0TnccMA4D8HxU2yNQgoaChjbUSz5woLM6jaxs1tWFB6ks8X2F78v0ArCF9vYSl1n0nM6v+RHWhJxfloxtgNYSX1p0yWabIPAc5Imt9juGsYdAMz8bItWIfuQx0MI5HVFRMKaVqWQgZWZSA2RxDwJrZMHkpcFIXqLy8RODsc/mmZCdmyJuvHjMMBzy9492eP6Yz72P1HjuaI0jJ2pEsYJAYaUCIUlkKRuU0/dLaBUx8cWZZGhTANxkIDcQWTQJe3aHbJuJuGJ3yGtuDLlmd8zOeXjx2GFU76NY+d/povzK73yK5dWB+uqjh8UTB2cZRWNWjo557nDIFx4NmfIidm4LuebykDfcPOa1N4RgEzwN9abNu3owgjgFfxZIZnJlokEqrZ1yX1pIVzeCMAhpiULLYOQY/dgpyZ/cEzCIFE+/WOPQyYDFvs848UH7oDxUW+FLQV1BQ1lqCjfOTKWFR8qxtu8Jl/Qog9uT+KksCXwIfFLXxKXMPW3wvTjNiEbUayEXVhLufahFpxcwMyXQqYWaFX2JdVbP3A/OtbhkPFZsmFO88eUjvvD4kBOdJkNPOpmiwYstXpR51qnHLhNnF1KedSLz32GsLv0OB3Q/USRaEXtu7EMUec5K9SKafsQd18TcduWYt716xIGTkmf2egxDxYfubXD0nAdCMhhqklBl5ZtYnQF8wjLKAL4G2IA1iMQijNuXCWupN11CTmB47Q1j3nDTmKsvD9m1LaGtBRtartE8DH2u3OkxSo6I2Q1XqHD5j2N/9l3fLIMLZqcb7z2z2LsuURapAkyiMMZjYRiw0Is4upzw0PMJH/tSxIaZCGssN1wW8s7Xj1ytb2KZnzJcf01Is5ZJKZEvYWKd35kN5+kMBM88q1nqSuo1yaN7PT791RqjSDGKFGfP+RihiayHER5ojQg0Wkp8JahJSy0FdqAsgbKuBlynnq8umNvP+jJzcKu0R1Pk7O17Bt/PCrSSnL19P0KpkK88pfjkwy2Ur53dVtHfL83gmReeJJnjoRiNPN56+5BPfa3Lh748RT+u0Ux1uJfp8ChLyti8W0gImQPM/SpZ0volgBvH5LF2TO5pRaw1Ok4c0FWCUm6Q/kwt5vbLY15+eYQVY95+54BR5Ma5/eVXAx7b61MPBItdxTPP+3QHMlVJYt0zXCQBXBq/WTNcf33IhunElcwmlne+fsT1l0ZYA/PTlplpi0JhcdvN9IdubF+caOJY4gUL12n/5vdaK37ym2Lwc4tdNs212v/mv/zF5cIY1VKWBMlQeMRGY2UM1sMkMWMTc67jc27VgE04cMLy6a+4JcfGhqkZw63XhbTqriZ43fRk+TJPXYfVvuLx53y6HYXU0s1Esdoxk9C4ucAapEZKiSeFA7O0BNLgSwcEX4Gvihl9DuSiaHjQrhEgazwug9sxfFpW62UMnpTuMYGOsDbk9KJPOK4RTEn8NO2t0qq8ShZTUJBXKaObd6cbRRh5zLQUOzaE+GLEMA4YxoK6dkMwsxqSLKGlZLm8Vea/y/2OLNlmiuypMWnPZCGN4jhJ8wYq3f8oJooTVORyCVolSBmzfYNJVwzDlTtHhHaI1IZOR/D4c5rVgUTliqUaVJfJHOsCyWbNctt1EVMzBhs7+VqXbptya5XrO03nrjhzQ7vnsU7jCUFspfL69vLZHT/YNvFbu1JPfwOAn1tgaWnlPQf3H7lThT3maopxYvASwdAIxomHsRorE7Bpj5F1Q3diLJ1MPylLd9Vy9itlZ3Q9gJf1W3pyhMBkWy6Q1pwKVQQ5UqZWVgbqNO0sSTduzXzj0qNOO+kV6dZ75OB2bV0KPwW3r8lLTB2DpyyuDX6aHfW8iCCIOLlo+KMvNEH7eFIUAWYuT8QaBi/7w9mQUAc2N1gnjDze9cYhf3H/kBfPt+gnHo3YbUrrqgCLAUpCZTmBcrCXlS5mUkiWCryyu8lrYbRWeImbl+KlQFeySJq5uvH0uTBpFjtBC4uwCRsahr/zSgMiSWUmILL9M+za851DQmCNxkSFdI1jSZTNlsxKP6xzgrKhQ0mSSqtYEw8SjDx+Z23mxHusif/hN2Twv7z7i0gp/P7yWWYblnFiUZGzg7QAD8HYCiKjMVZhpS1FvlkkXOitxCsD205839KZF4LMdCoHL0LKvAVNCfCESysHwlULetK91pK0piLtHs8KiTSlOSikO7MVXfUFwGUuWwLf5i1tvm9Kg3NivJS9fR0hZcjxc4KFbg2hNYGkIk/y9HzJQqs4CqXCsyIQVISxx1x7zK7NQ/adGzNMNKMEgkTgJRYvTnV4TO4sFYdRVToVMpPCTdq1eZ1HIY0MOjEkSqJ0tn25SovVEqQy6UphCms2BbnIfjdmwsq1OdAzB6y4uPNiZ/eYmw+sdd6MIMmAbtwKl7lBbj6jZjhWLPdXWep/ye3e+40AHg3OIoRgthnSb8LqwKa1IzYvvPEsREIQWTcnIyGb5JoV2lTyWesAu4xxt9kr2VKeW1CZ55peWMLiiRS0qQTInufvpWRflIKSN9j6SjiwV8At3aOfAT0LPlNwZ90/2uQSxdNOn/p+REzEZ75W5/xCHW9K4ZdrOMoOChOKtKTBy5WXWdJnNHYTbN/yij5fe3ZEN64x0Jp6bAjTdHp5DHVWcCaEoegcygLNrGozsw7TmSoWEuV+pzaCWAl0ItNd7FwtT5wCvUimmTzBJqUpJd5MJQlXWLslj+wlJHkZ6JWkYaW8o3DoMoBHsWIcaVZ7PueXITl5lvVAVgH46tk/ptHwX/mFe/bevLxsOZ0urzItxPHSK1Jbl6lLsixUWvllEHmXdc5UL4Xr7J4lC1y9VjpqzaLTFSOrblMim29SaFyVAVu6/eSzUQhlYOdzUBSuH3E9gGcBZ6a7dSZLbKq3q7XkvhfheyHnOoYnD9VB++hUnuhSgVKW7RMTCHcnsVR1l9dAy9wTjyKPGy4ZMzc9pLPSYBArGgq82H0XlVh3j8oAx4E8/0VyolJTpH2TrjnFKENiBJ4RJEqSKEOiBHEK8nLxWlYOkRXZyQzUpQlZAsfqRUlzDt+1tSsl/itKNorsttsdLn2d1uw4KZc+z/sLJBeWDRcG5uYrXnbDK//bBz/x4D/8obvWB/jB40087f2d88vm+ueP9ljoBjnLyBRQAgdElTK2sWCkzUenlYtrvp7qLgPc7S5MhbnLc8QnSzh1VhuR1oBnpZ6uuTjrVHGyROXdKwWws+Zbx96p5tbkejuzBB1jF+D28urECEHE3V8N+NrzLWSg8aVw87fzCsKija6o+JvMZoq8j9XkMwBdQDUcebz86iHfeUeP37u7RZgE9BNJLbGMY/K56kXVn0nlnJm4oF6KycFomXdaZeBOlEQp4xhdynS0hCmVIpdrgGwB8nUYvJBNJRRMbqpWKs/Ik3955rMkWfLSa6fLhbAEXsKmuSFh3MGem75+67T4O3GsH1yXwcPBCTy/9cYTh+75wSt3HGfX7i4vPryJunTBXMawUoLBOoBTFM1QZqXS1bne0lQpfc0ylhRgyFPAGchLow0y5nZbkGSvSRmcvA2rwuJpN4ynquB24xQmmDvt2fTT9jZPZw0HcekeERLxZ19uk9gAlWcvywFm0deYORsVDc5Eu56RbpRGkgWbGoHHO1874I8/M2bVRAyTGsNE4MXkLC6lRcYiLzpzduGkFpUla7JUC2IEiU7HOKgU5NqijJMrbo6kq2B02WOZlyYXFmW5urMoY86bUkpAf+n1vEBGuR+gUsNULuiz7qL2vQjPG/LgiyF/8dVFdHv8gz/wPa+978WDp79w1aXbqgBf7o4IAnXJwZNn9jzx3AmeObaFfigJAvfBXMmnA7AqNScUNQe2cAdeCtEZa6dGeFme5ECfKM/MtfiE5izGMBezPZQShRZPK+4qw25SYGslCicltwNdx71rTLYpcxcBpi6xd+CFPHlIcvBMDas8lJT40qAn6zRKAnzSRcnu5fa+wq92II9ijz1bI666uM/DB+pEymcYC2oSvMSiY5HKt7QLJ051ONLJhcqvFCUWFyVplLWKZe6Kq3dx4E7b2ZQtgTurBbJpmUDG5OSrhyiBG5FNzHoJmTJxWLKyjaz4rgB2AfyiD8C1DL7skjFPH97PzNTle5QYXlLzh19Yw+CPPN+l3Yr54895fOQzO9BBk7aflnzKrFSyeiVWAT55jYr1Pn5FmuQsXgZ6CdzZ7yyPgigki3Dd86IAtwsyRd4trnNwywrAy8N/XLc9ObDzbGXO3Am+dokd1xUUYYn42JcbLC3VEYF2vnv5IpysQSkfkpJFaEyVVSvetFFEkWbDrOQdr+vx5KE246TGQPnUE6fFs3JWJUnBna0VJvXEU1crZfE8m5z9znTaQXkqVZJNRjDZimTz5w7gMv2eJu/oyrr8hZBFc8Qkg08M9xQZy0245JPVpVV8ub8vhABpiGPJOPS5fLvh//6RDvXZJRr+eVq6n//EHOC//8FPo5Xk1LkOm9oNd9KzoElOBEww8UHWW3yq75RPcqG9Jx7LgC6zeGW8WMHYsszgSpRYPJMrEqWrAPd1OgDIy7YOTDOc2uLlqXiTPk8qd61c586Lx+Gj97QYSx8lVZq9rF6IkxlM8RJHJ3dSyn2sKYPHiSZINO94w4g/+NyAZ4/UiZTHQEr8xKTukUAmtnScrGsvE+W11KS/q7pvUZnJEwM6txDdaGuVlgSoxBbDOvO5LCK/oOMJPV7UEU3WFU0C/CWYfE0hXuG2ZEV4xgiMlGnDiIcUDVb6Z7CnP4Yrvi0B/IVDZ7hqz5bGz/3Se3d3VxaImyavTKsGSWvPkl3Py584keULI2ft0pI1mdJeK1FEDpzJcciyxNhZkJlNbdI62+Q11d5qAtxZ+t7LGpONmxmSt4hlPZ1xeo9QXsjB05pe6IPSqTyxE+WxkxduFeHVgUYTXnjajVMkfjRNT3D5thHPHgxJTMDQ+NQSV7OtUw2uhJuv7RJLGRwMWZBZMHlhw2Ud7jofbOreU+mWM9qQdhDZdJiTTcdLODAnWXd/bgAUwWUeeOakVlUAa+pzXsJGrIK7eK8gQ4sdp7tmGI/27JbdN7/qHzSi4U8OvPouB/Cjx89yYWH1DbNz8z8zHD5Hqy7Jxm9VfvkkU6foXRffdgLU+Rctg9xdR2UgFMAu+hhViRVVZahmBnKKGmlVAnX+PE3yKFIv3IHbAbgYCuSV5UmZvVXa1+mHLPcM/+XPWywNa4jAc/JE2sqqUgzO+QaaM685EnmzSMHgaWIj1rQbmp/67h5ferLN0tgnlJqhlPhpD6UqrbIOVKIgEFGQlcWk4DaVEuas8UCnk6ayID0Du5IiZXAniZLcRYGi8bzaJ1vV4lngmR0PWz02L3WQbOWheJ736pLGMY4gYMzs7NTPDDvPPRiFw7+AlMGfe/YFgiDgxPHjeDKhHqjUPqr20FV/Cd/4VgZ0+fUEuxUaXBQgl5MSpTqYJge2FEhVjB9TJVBrKdGpJNE5wDPNbfKg0tMmB7ens/qLKnt7KsL3Q/70yx4vHK6D9JBSEmSlsSVrM98jPv2SL1lNSMHmeXd5SabERqabPHlcs2fAd93R5Q8+V8PogKH0CVKHK9vYKyoFdJNMLspMXnEkSqM8FCjrVgVjhQN3NiXMFNvPuHNQzKIpJtO6Pk4hqwDPHLEysVEB/De+TcqVYhRFeSB/yPmzp0kSjzh2G0NogO3zAUHNp7/scX5KIqQgjt3orGKrELtGd39dbGfSJdehpcEJKRiYmC1YXt6zdq+czXOG/EYAlwXAVamGWqd1KR65FPFU4ZZ4peFAheZ27O1pN7VqpWP4y6+0WOwEUEvdE1EKxl5ComTfcw0zrWfbZZahkZgkc1M0M23F371zwKe+NmKpHxAqzTCRqT0pUvdGFM3YsmDLDNh5P60Fk7N50e2uM2dFpc/TacAmHX+dHfcyyIUUpe77bIhnqrtzPV5lc9JVpkqA69eYZuxYNEaIIueST+l1NSyDIehGE1FvE0cpwI8dPcz09PRFTz311E8/P15hfrbGaOzGhokIZDY7rtzp/HXAneO6HFytx9yICoNX2LtysNLESQXY1dnf5Q4XN9ydKriznQ0y5lYl5l7D4Nm4iWLkhFYuc3n0mODA8RqGACF13pxbVA+W4wdRcjWKA1KuRSmYXJTkicidjLzdLNFgNVfsCtmzZcTSvjo28R2LJ06m6JKLUwR35UKvVHBnZbSQ1hCJUvAJRorcOizHNsqkORBJqr2z81KQUQ5uI3LWLsCdtdbZvJygkCl2LQmsy+KCvPUxnX4VJ5IwEgzHkk7PY+XQAq25K376Zdff9vShw4ePad+LwY42T7fiN7b8FcIpn6XVKJ3ZXDL9ytWuGdBL2nyN3i4Du8TSBchFvqNAZWh9RZ6IkjMhSsFmAWjH4KSjgMs+ePmebmmtyuAugTzdr95LS0Mz9lbpa60jlIr4zMMtDi7WwS/kiVeyLisXLGvHRaw5YbaQgNU+1tLuZlkZbai5eEPIW14+4LEXG2A84sRpcS9Js7tJVSrlwMrZMbMNZdouJopgM3su0+cyXVVkdnfHPklXDClSVjfZCmtzYsoTPjI7DllL3WRXvq2s7msli00/tqgcM5dgzHpZBWEsGI4F3aHg+Olz7LkifGOvP948GMbHtBAuMm81+1y8o8P46DxLq2VQuiVJlNl7nZMmJl4UyRyR//n67oLIPfDJAC0DtFgH2DmbK1Fqwi2BO51PWGzbwVpg62JAUD7iTZsU5LGTJyqi3gh5eL/iL77SZDjyoaHRUuCJqjSZ/PzlFWt9RprQ3xOWYdkXj2LNVEvztteM+NzXBjy638c2PYZJgC/ILzSV//6CPUvrag7ysjPhgs/0AlOOzRPp9LgpsXYW1Js0uJRGlPS3KAW6KUkZkSd6slVMiGwESLaKF9o8h883iD6LIjX3XKT/GwxjjlwIWR7FJCIhtAn62BlJUBOcPi557pBlYSWkN3DsbXNmdhpvUpmIiQ+xrmvyTcoTuc7zXIqIAtRSlXZvUCKtTSnAXYA8K5u1aF2MUNbpJkxaVYHu5Wzt7kq5ANP3Q6Iw4XMPNXjxRAM8DyFVCqp0bkgpuBRy4kIur2AlZOesTTqZdXLcXVpBZ0p2YRhqrtwZ86ZX9HnmWJ1x7JNIj6FR+AkTn6UEHtaC3E58FlQGHINRApVJUimwCqQt9Hi+okonYfNzY4pVQ07GI5PkluOj5PiUCbKMs/KLCSdPCCc7W03LlnnLtbFkz2bD5lZEnRg9Ov8XhFLTsktEUvDgvpgtTdeLWGGjLA5fT4qUPkRVe4u14BbrgbwE8BKgCxYvdiAopEnJKswZOwN4MTk1lygpczvGtjlT6/yxeO6lwaVWEYEf8vxxwRe+1mAw9KHpIUVWOUjJHlwni5mfwOoRy2pRsqCpOkh+IuFTKsAKI49WK+RNt4/51P0jnjkSgPYZGYmfanFlQCWZXZd+hoRcHpBMZBBV4eRoRSFdpGPzbFXJgnxjHdilKRJtwpTdlPS8mhKzl+OCXIuXceE+TyW7PakIyrAu/blKJ3JNtwyX7+pydsXwe3/yJJ/6/EGiOEEv956n5guOnY15cK9mFMLIt66OQ5U+0MSHekkwT4C9eD65G8Pa17kcyYPKSQZ3eruczVQqrTBMKwpdO1f6XJfng0+AO7172RTatMBfq9jddYTnRcQ24e4H6zzwfB1qGqRraPZKJbyV0tjyvfziJZba6jx0kTeUZ45KYmQF6OORx6uvGfCWVw544XiNOPawQjEUGi8h/0wiKVi8+AjrM3l5iL1SGXM7NnevBdKIXIfnfn/G6NlqmzJ4PrRTiPXZu/K6pMNLeMpZO08WVfGVXTBSOAKr+QmNIOGVL1vl3icjTi3U3bYt//ljG/G0YGElYWEhYttsWrlX+kGVCamieoV9PeaeBHolehZu9nS2aVT1gEwAuyJVymn60l1NgFuV7rrYBDUDtFcCdeacOMfEPSoV4XsRTx+TfPTLLcAH6SGEyruIVLqRajnrWnaEChEnJgBWLLUVHV7aBsZYgUlc654LqFSevrdW887XDrn3oRGPH3aTBCKjGCQiLfhKQZfYgh3XrLrus1hrHYuXgJ79qUpBb2S6n08WFGfaW6ZsLtxjfg5NMbCzHHzLMn7yFL6YkK8ZZjLZUsJMRrB55jT9/MINUBqMaly9M+GSbZrBWCClRM94PlJI/FbItAzzxlw1kVyZdAbWkyCTQVVlIEz6YfN/P6G7C6ki0mRBYT1lAM/n5JVBnramFZtNuZ0digH4BbgrrF16zBprM6miVIznxURJzH2P1nnuUB08D6QLLn1hS5Njy4FVdROnKnlXoWVLT/IGiFKNSKW6MJEYlToqiWYcely9Z8Srb3UsPkwci4+Fz8iATkQhD5LMLkwdiaR0kVHNbZStSyXBKou0Iq39d4GosAIrQFpRSJVcWlJi7/S8lsBezVqLKqhLoC8C0DJpllgb5/JknWNxIhhHEtv36Q8VSjeQygdr0PPTDjzDkSuDFULm4NHlYEJUmblg45KvWf5Qwh223A8u6a1Ci5UuHCkm9oiZqD8R5Hvv5LsXZ823lYaHYusSpSbAXRqKn7snKkHpEsBTieLriINnBX/4uRbjyIOGl8oT8tY0Vd4lOJNjpZilolfW6JMq0Msypbw5gLHraXFNM5D80JsG3P1Ak/2n3cWXGMUgUa7KMEmTP6mlJZJ0LMfESmIzoJcALm2hxWWq0aWx2PQcWSkcwE0pVsqY3BSrflmOZMye46AMdmwV1OsFoyWsmfT3peN2ANeKF8USaxVIH4QPWNRv/uZvbvI8/e+OHztxhcw7Yop0d27LldyLik2XORolK2/Spy7/vfJdZUufEmkZpkjn4ZVckYl7NjKh7HHnj7rQ3c5BqYK7vFdPUUyV7v6go7yZwdMhiQz5g083+OMvTEMQgKqhlKahLHVl03EU5A3OXqk1rsiklhNRkmIyLJUAtYglCtsxu2iFJG38LXohnW1r2LE55PSi5InnfGIhQSiMUAjhSmmrxFKSmOVVxebPite2JGpswZSFfCltPkX54nRFAeUShPK8n0q8YcrvlXIApfqY8pg7KP09yqUGBRHERhDFkjiGiy+9fvOV197+RX3uzKnpaNR/syAm8FVxFa+RD6Vlp7SMlDX5mmCh/O/TN2TlZ1Zf50tdmbUrdeC2or1lDoZCkqiS9lb5Tg+ljaiUnZAkWaVgxt4Rno44cEbykS81cPNXHHvnnfvZ7xdUxgvLEuuUA01RfpEDaAIclcm8xVxBF3imWU0rMYkiUakWTzTf+7oBn7yvwd5THsgQKySjxEOT1otkxzpJT2ySJX4yqJakk7UpeJxXnX02mQJNWpDWyZZMd0vrfoc1qT9u0gB1DW6K5+u7alRwMhnDmXLhlnUrgskwZIpA1VoYhxHLK/03G05P62YtplkzBH7W5Fn8YDkBcLEOwKtOSQHw/INWpMnkBVM9CGX9VqkBT5MJ5X1kCg1ebBWY7aymJsDtJrKa9NHZgUoZVOZ3qxglY1QqTxIV8+kHm+w9WGhvKaTzvvMOGtY9gYLJ1zk3VjR48bzagFzxxEsTqbQRrjZFFin8MNJcecmYt76yz+GPBISJAqFJhGYoBDpJ7btMPpI5KqLCx3kIbDNdLlC2qIW2aTCnyiwsbJHiF64vV9pUPhgqxXJmEkNUj9tLSxLWx5Kx1eMuyxvEOLl9fmnMIBqiD56MWV6K6Q0SmnVV9TKpApI1ryc9zXJEvM7fKwebcu2VLSaZe4K1s9cZa2dgz5g7B7oqM3mhu1UWRGZbnEiDlsXQfKUSPC/iyFnFf/tEm5H0yCZoFV3z6QpSroEufY9qZPTSt+rynboBNqv5KdWmlFL35foUN+XJI0hi/uFdff78vgaHz2hQERhNJDyGQqCSkqNRDjYnQJ558xbQpd5ai0Bad8wzNpc288RNhc2NcBeUkQJhi9VjPTUghCsamAT+WqNiUlFU8SQFkNjK6j/dsly6I2ZmNkYnidvfPDHlVDjrArUqSUp6bl02rwak+fNKlF19Xga2mGDtLJFSBbcpJIqsMriu+NspmCt+d+kuHYt7OqQbGn7vU21OXwhA6dQalKk8sRXfO38+eaImj93XA3pZquSNB+UezSyFL/N73gwh3RizbfNjfvy7evzaH/p0IhcQWCsZG+Vsw6QodCIRFAq7AHnxX/cnKr0Krc0mKDhWz9g827Y9Z3DrzpMVTkIIkT4XpFKC9cGe4WeCtXOJm/55djGw7rEuAl2NRXm26MOdn1UIozjfVPieWKOLM1bKTtKkn10Gc+XqK4E6r0XIwM064JZliVJm7WJKq5SltilRBnSJybVJGd3k0sTJEbNGqigV549aRegg4uN3B/zux9qMjefkiVC5PMmbiicssYruzg94GdbrQ7xavFbKaOagz1L21m3wZUqltNmkJ6Op6ZiffHufA8d93v9pp8VBkQjJyLiAUybkDF4UYGUnq0jdl+1KB+5Cslibsrkogj9HOtbZh5XEj5Mx2e/K3LNJbV7B1Drsvd7rKs5KOEqcHz4eK84v+26c9fy0QsSa6baXXbfrivx0YZhg7fLVJ9Z8qHUtoYmrueqhTjQZl8Ctsi26y1sGqrLrYEpSJQNxicllUR1YfYxT3ztieQX+/EsNVsYZuB3APem0txZVeVL5rJldVsJzDusSvstaO5cq6R9Uqvomt140E3XiUqKMwhg3aXXKT7jr9QM++WCDpZ4CGYFRRDg9nnf7iEKLVy/A9Znc5YGKpFBWn5IFmzZl8RzQtrDx1sQnqVTKfPkM7AjhinhLK1+OuxJ5vHS+paS6cBp8YcUSY9BFvXSKtKwKkGIpsxO/LNNAsPYXrllGWAvqNSBfD9iiKk0q7C3XSpLivTK4kwprF8ydsXbB3l4j5u6v1Hj0uTqmpL1dU0MmT6r1JrIc2U8wynonZ+0tZc/cPiskymQzhC0HnVaibOGLx4mHNjG3XRPynbcM+KPP+KBCEBIrBGOjUUK4yWGUMoilXvWKJi/54Crrkch0eFY7I0uFYtLNeCmfP2sdRqxcHwNVzKRg/zpsPRnj5UdQTBxNAVFkiWNDnFj0wkrCSjchjCyNWmG0lzi7uJ5LP3y9K2rdK2sS1KRXsXRsl8sSWQCmyt42twjzjUpLAJfKotMRY1Kmjom0qa7OwJ0Ujok0xW5s0rkngRdx+ITkD+9uca7nu/2upRv0rgTFjg1lSbWGmaq6cj32nrxVEj0lZq/sIVoKNm2l697tn+Me3fYnm5oJP/ydfR58LuDweQkiAhQGyUjI0iZS7hxkoC7OeemCK/N5ns1Mz0OZzUUxtzKrIS+vzO7PstnvDlFGFiyeXWyVns0JyVsQqq0e0gmwZ06L7wlmpxQbZhTaNee6+Xyel0uy9W+TS+8EmLNfmNf7Tlyla5m7pLlzLb6210+p7PUEyPMZ2ZPPk3xoZMbiWpZ0t0zQqS3o+xHjxPDbf9rmgSfrrrdNaqe9pXRdO6KYv5J/1mxlmVytJpi8fOjKx21tBrNwLYo93svls+UyWtduZjJHJTHEUqNizatvDPmJd3b5xd/2GcfSZaCMJE5dFVejTQkwRVmt+2Cu/p/S53OvS/Mmbdpdb8FKmwaYxcQpK8hlihGlBoh05JoLQsvND9UWNlFqZ6QC7IkDytoD6s6DSfe5B71hRqKRrLTdFZcPoyl+LuWnYuIHl6XK2gh4Lairr8vSpGBvlUuWTJaYUpBp1zC4Spk7m4BaCS5lIUt0OuM6Dy5ljOfHfPlxj08+0GAcelDXufbO2VuuHeqzpiS2JEvKgC6XL0yekHJhU75PaAXcYFVWZVitFU+MRBonVTKgx7Gm3oi569VD7nlgyL2PK2cbIkFIIqEZUqp8tE77luWKS39XNbm7l+pSUma2MivvKF5n0iQDenZ+bR5slo9ZBshq48Ok/C0wXUm7FoeyHMcYyziMWVqJETpBb54LqcmQpamEYaiJYvJxWWvGRLwUqZelS2nAy7ryJANv9mWkXRtUphJGVWRKGmRmc/FESXvnQDYl5i4BvTTMPdfe0k2JXe1b7n6wwf6zNSdNhCuJFZn2FpQmSNk14M5XnvyiLgNa8I1u2VTVzJKr3icGT1ZqxYsaFSkV0iRIo4nGmss2R3znHX0e3evTCdP0q3F6PESR7QNRBffk0u00tio7PTId3Ze2tBVsnkmVNOEjioGtDugvAW6qBgTrPX6j45fj1B2/OLGsdGMurMQYlaDrtR5Df0g2V87Nw8i018SJqMB6YlJRCehr/WCnr9YCw64TZFZnbpTBLASV4FLmg9kzkNsJcKc7E5QeM3B7OsaQ8MHP1PndT7SwQjvfu8LeFNq7Yg2uBTqVE1MC+ddh78kpvFX9nTH52la2bJSwMQaTSIx0vriShijxkMrwk28bcOiMx+9+UhPFBcgNgrGQKJMNkshchRLIc1CnOgNAlt+2xXzKDOjCAVlm/0ykUiX1yzOtnZ33PHdiodpxX8iWtYhbhxzKIC+tfr1EomOB/tKjdYb9kM6CZqqdnsj1fkjlp6/l9bXuiZ0AeUmWlLR35TGXAjZn9mKzJTd3Y9IxkRm41aQ8qe5Zr9K9Z5wGj/D8iEPnJJ+8r0m/70FdrWXvvOa75OyIIsGTfy/WPs9A/g0ZqNAAJTmQafGiAMmYrN6jBHSZAV1ipNPiUmqiKKHVjHnbawZ87qt1Dp1NkwourCcRgiGiSM6ZFNy2ALvNQZ26JeQmchqnZU5Klrp37K1SINvS+Xatj47FbZY7QFSID4q/UzYtCm1chV05QC9DUgjYPKd55ZWKrVskevvmNqsrIcPVtEJQFTW5Fa+2JFvWorvM4OsB265h7gqLV6xBm48DUyUWzyaaKuUGPxaD2Uv6u7TdhizJEilTxyRlcq1jxpHhnkeafOmpuhsOLj0H8An2zh0cISrBsGD9Wp0M4eIbIXuCLipAL1fSGWfDVXY7sDbV3aaQKUaSCIlKJEYoorHm9deHvP62ISc/6zE2MrU1pNveEc1IgDSlbauEyG0Qm5bwqQl0ZbXiLmRILwQhCrJPGdmKNPAUJQyQTYetYsLmvne1Hvylj1ch57IDaClW2DiG7sCj0Q/Ql16yffXMyfHnukve/2JtknfzZAc+n4eyjmx5SQaHyrKT6yxpK3O/RUl3F8t+MX+6AHYG9KJstOycSLlWbzubMCk9j5HSdepIP+b+x31+/QNTJFYXzolUCCHdPkCiSMtXGbwEcsm67P1NJDErrLOm9NQW6fA8fU82xSktxhKFo5Jrcum8cWE0cWzw/YSf/ZEu+09p7n9MYnyRQtZ9gcgohpTBZPN4ACWq48xSd8d54elqm33edLXNdLhIU/aGYpSETMnPlkkhx0Y5bsvWP7v22JUlXTlmKR1qISxaK6ysf25mduuqevmN2/qd1cXDUtqfkET5mAWpyiO5Smy1TpFUPrO7ksZOu60z26/sRGTBoio0dVEZWLYAS4mcUkCZF1SVXZNcqiQVqaLzrGXRa3lqWfDrfzjFg0813aY80k9LYj20FNQlBJJ0kyu7tna7ck+7nvIhOdVhRFnNu1QTDdPl41bqaywu+mpJQDkIz+Rbnk8oS73yn1nYMBcTaMujz/qsDuXEUiPzKeJFxWEKMrsei34zy1KpGLe0IrnXhdWYX9jl90puSOXfVPR1VkoMSTqUKjFuX1aX+bXU6gEXFhZ/+JnnXtivswGbArcPu04HKmdjdJOkqE8ue7aVryyKr1UNMC1V/7vqIVc88Mq2GFVpIic1d8biZfektBNYnq2Ume8d588TP+EPPzXFX3ylia0pEMqhU2iElJV+S72GvV/aHqzshbn2nK/xwO3E6zIgihNbdVbKHT4mnR9oU+a21hQ1KkIijSIRGjlMuOvOIS8e8XjP+zRhEBcAFwJrPMak3VUm1Q9Jmq2hqA/PvoclzW6m7J4Rvk1Z26Yyw6asnUkUx+w2T+HbcjBZIsuKE5hp8vJxmwB6eYYmOLw0TbGa6qlWDEgkMVpGbjxX4jojokQicFeIIN1yo3SlVYyCCddk3WBzAtg5wCdG8Fb2gMkALVKAT+wZU9yTEtDL4E6Qec1Jwr2PBXzgs01GSToFX2TWYJq1FLaivddNzZeBvuairj5+I/azabCTec9rMprYNSW0VpYym7LkrAjlCrNkWpwlDYnRBJ7hR97S56FnfO59SqaaV2YaEWM1Y+Pa0chAXgG3IKuVzaWUEKhUclRAnjU9ZK5KrrOdUVPR5II0+ZP+nTIZCBC2PBW8zPruYyaJJTZOc0cp0K21eL4hscbNOb9oy0q6OIUIOyKMNYOhx3CssaGoaBzShog1CaUSkCdrDARVG1BUgJ2xui0xeFWHK1Hs7KXW6PB1WLzM3jIpAkwdMRjDL//+FEdOB1hd7JZc0d6ZRKoAewLQrAPm/LAIyg9fT5BXbC6K1TEDUVF8Vdbja2tT3CB4i5FlFleIxCCERoaGi7dF/Msf7fDQPw/ojdIvY2T+uRI0o+zkyswWKaxDK935V2mAlzksKg0oraRoQxOZDrdpjfgE0MskUSLAivP0EoF6EXxbt8NfAuPYMgihP5YMQ8tqCPWau8j13AaNVpqV7pCz5xbYOF3H1y2SpEkYFwMcSRmtEmROMNXa7KWtgLrM3GJCjhT7rpSZ3JSSPCZn8iq4M6ek5Htnu/OmnrfWEXEC//XjLZ7aV3Oet8yYu3BOPFGVJUpUWVuUwT7B3GlqkPLQzfX4eg2TTzgnRQNE2S1wq+eaakPhGDwPOo10IE8kRqT3JJUqxnDDFRE/9T0d/sOfThMmKYtDHhUmKMYm0+KpTCmBHOkCXCWKLCciTfqYEptLECbzw1Pmz6zCElnYydUvT+MDdrKBvQrwTEkkBqIYlvqSUCVMz/ZoTm0jqM1iTIw+MfoR5mZafO7ZZ/iV//Yx3vWmMT/8xjFKNfLhM9aInGbWyzhVo+CS181LAHsdzV0BeEWiVPdnLNg7Kenykiyp3NPAspbwxUcC3v/xFp2h5zzA1PMmbdJ1zkmRtSwXDJV1eDGabZ0ZhJWwTOSvK5Beh7XX4L0C9ALkVdbOpsLaFPxlqeJsxEQqpDWuXiVWtGuGH3v7gCdeCLjnYQWNmLxwBEAKYiMZkcUUBchzuSIy29J53pl6sULkmU5rCrbO5IsrrktnXJZjF1sljyyxmoGdVMZUs+VpiJwG+pERoBN+9Dsv8M5XdmhtfjO16VsxcRfdrtep+zV2zNW5dts0q6sRZy7ESDTDsUwn55dIO19CytP7X1p3vxSwq1F/kaUsA3s9kLvHZI3frVXi/k2pSlDKGKlj9h3T/LePtjm05LtUrShp77Ri0EtnnRSO0DpBZVmeVKTJRDfTWjVSWfXKiZ0c5BO6u4h1SmWpkx55Cex5IZY1+aayIpMqwjqpEln2zMb8w3f0OHZOc/C0wOqywBIgPZIU5EyAPEWbA3au1zOAp59VFNigBHJRki4Z0Ct2YUWfl4BfoYGC1YspZ5ZmLKg1LbO1aZ4/MMcef45d003i2KLnpgS1umTPdsHfe3PMIBI8f7hNs1ZzYxF0YeNVtqYoAbtcgrmeTMmKbwq5UgV5mbVFxTkpNh0twGxcomdNMsekVYJOmkgZ4wcx5zqCX35fm09+uYH1VJGO/zrsXdR9r03Jl8G9XlKnzOiVKLy8zK4nUSbeW1uTUtbhGaBtnuG0mQ5PGVyK7HkafApDnBg86VyVzljyM7+pOL8qICjTrcCicyafBHnG3gVr4/bvKQNdpO1sqQhK49NCuqTsKyaBXmLzLBSoHm8nmct9u0opZqcEjYbiyX0+X1iI+OEZwfwWQacr0O2GYGoqOHfaj77Qs/qNX3thhEoUl+0QzLYFtcDge4WdU8iQ9TT2OsAvVQaWA8xCkkw4KRXmLjkmwiCzjGUG8FKmUsoEqeL0uas1CTF8+mtNvvhYI601UTmwq+xd7BpcnjdYXjbXlMWWtDhUT8zkireuFpmQK2vmhqQGmTVFlV651kKmbopFpIzthjY598Qxu5SlmhUpEWnFYaAtb7hlxFtfMeCPP6cIY+HStjmLu58bW8HIlEAuBDrLeKaa3O2I4tBZADz9vKKcBCIfCmRFKmNIGd1m+Eklni3+nizxQyaJXDzo9kCtBZLptsfluxIiu8CxhTqI8AtRUjsXxn3Ur73nP2Omb1g9ckasPv6i+IGjR1bYvsGjUVfpZqnFBktZEqbodC8XRVWTEVlipshOlstd0+eqXDg10aWTW4GF5y3lWuYud8TnulvHJNLwqQfq/N+/O8XRs0HaxFAkdFzNiSCQUJNukL1Ox8BpWU46ZYmnrF0NipFyxbYq7n1Jvq2KqA4/cpO6ZDVxkzl1k/dyQFuuQS/JvoLFUlbLCprk+itOdqUJARjLbDvhyksiTl5QHDyhMbZ0NZeWIivcliFFfFEsT9X6bFF5WlzP6c9Z59qeTPBU60tEZQHMf7Uotq7xtCDwJY2aol4T7NkS8cY7dnLlJY3/0zPPP3LJFW9we/TsnJMEvmC0ReINFFMthacFa92Csi9ctfkQqbYqpd3LeySucU9K/zbfa11QyJIKkycTk52qzJ0BO3v0vISji5L3/3mT/YcCaKncLckTO1Lm0iTvs2SiNn2SucsgkyVrKz2rZQKftLhERk0lVTmZ7HGsbSYSPoWLIvNEWzV9LwUY43YdzrxxkepzIQodLkXWla+JxpYrLo75kbf1eOw5n2MLslT1lP4ndU1iKXIL0aYBZ7bnfC5H0t3YslUnY+3sLtNl0NWVV4+lLenwwo5NE4fps7wsoDLD0d2j2LLSlew/3iJU02zut4ii0iZUt910FbVajVbdMuqdpl5T1Gu4/SMr1XsF81a2yajIkCqwK5JkPd9bgCiDuex7C5M/Xw/cRaCZoISTJlonLPcE/+mP29z3dL2oEsyBXUgTXzIxBrno0lFlMK+50EvcVGHJCcb5Jm/loqEKm9myfMnAI5y/nMkUUQJ/KdMphXXToEw2z8/pcSGUu4yEIRkY7rxhzD96V5d/+/uSlWH6OWRKwYa08EoRIxiJwkHJCrKsBGXKgHcHxYrUOy+ztXEMbFMyERNAFxSBZpEFdfNVsmCWFFeJgNhAGBuG4wSBZRR6XFLbxcat1zAauQhCAmzdupkrrrj8ntFw9dfnZ+u065ZmzVDzi/3b83FomfTIpUOpu2bdLKTJa0kKFyRr4H2prGSWtSxkiVoDbpehLD9XKmYkLL/9iSbv+3iLXpQWUmUAT3W3m91XOCfloqoctBQrVTXQKTXHikkwF4NIv1mkT3bXl2szbAnwZTavzuQrAdtOtLmldeNZe1s2wNPYbHCQpqXhJ97e4yfv6lE3MZgEskcbg4nAxlhjiS2MDYRGEBqn0WPjgJakz5P0ddaRlOQp9XTHPkM6xEi4PyvXl1RS8MXfd0kdm78fp+1ocWwJQ8NwlNDtR4Sx5szZxV/fffGl98xu2AQp8/Mbv/Eb7N7RjkwyvlTr6O/W9JhGzRJ4bovrbKhlMYPbVDrcKzo8c0xKxVSV9/K/XwJ76YIpB5eFW2InSl9NmvhJcjtQqRjhGZ475PMrH5jixIWgSMVn8wVV2mspBDWZMrjMdHehvTO7sOjDLBdFTRRLyWLUdGWGucgmr6baW5YHkE7obVnetqWkwaXIpVA5+1v48aXSB6gUXk0G/Fm5ah7sY9PaD1eDtHEm4cHnPc4vSMe8k55nekWbXJOXrmCRJW2q82tzn3AdBymbIrBGn9vq6pX/mxIBZP8+uyBiY4kiSxAEJMb+8Ve+8sDX3vqdbykkCsDrv+NNeF6NIwe+yqmjj6O15yg+ByE5I5f1OJQOaMZ8slRkxYR7kksTu440ce8V6Xn350olSFEGd5GGz1Lx2kt49ojHT/3aDM8dDLCeLGRJpr1T9s7nnMiyNfgSqfmvI1MqYZaYCIv+e+SKrT6t+uKTdqHruJKpe1FMw0p3YRDuQjJWOglgLcZKZDYxyzo3RYh0Fz1hEaHluksi3vszq/zErwieO5QGJ5nHl9bLgAWjiTOtno6bspCm8t2xzCRK7oOTSpay5s5+fGoTZmPfKnZhyRs3qaRRwn2PxLiNauN0qGgYRlz3sj38nTe9msFgyL/6hZ+tAnzjfBPtNQg7CXGnzyhqEZuixWgy65iBOjuJYl39bSsMUnjpBbCrGcwC1BUGfwlwKxGn4Db0rOS3PtHk6b0BiZpI5qT1JiDRgmJKVUmGFO1yJQDLapp+zViICf1I6QL4ZmSKnQB2GeG23KdZeT8LRtepGbdubrcLLh3QbeqLJ+m5MkKmpJPqcWNJMGhhueHKMf/gbX1+9j949GIBHtnAwVyPux9SgDyLCzJvL8tm6lLxWGYl2rQfID8spWRONcNps42Qc67IAJ8N95TCEqf1+MbAQsfQiwKmpmdBBflxzQFeq1mEJw/NzojDK9PenmgpQQhZ1dQlcGcLTKX6K283qrJ64YGXEjoV96Sc2MlevwS4RYLM7ipBewkDA+//ZJOPfrHJOAOzLLO38+NkSkyesJQnVK2btXwpByW/okvPswW7AuY1Jtc3Iu+K/52Bo6zDDeSjjMuDgaQtAJ85JzIFvLACYSSu5zZjdouw0gWgpGyeWHxhecfrB+w9rnn/J1r0I9wBc1trFo8lkBcBZAruNAhGgsQNG8rHMZuCyXNv3FZJwQFbVOKbHG/l2EiS7y4RxRav1gQvOKx8fQhZNF3mAJf+pTz7xGe+oNRFH7rQvfAvR+PjNOpuhwSXPSwNiJmsuKL4AGWAywkWL8BMicUNVfek/H5S0uFJyVUp6kx6Ibz/7ia/8r42F1Y8NwdElAPL7C6KpI5wQxqrHTrVkbzlqVV5sqEE8nIwusZZyd/7ZqLMaqFV/l7lpag0DxRsXSR+hEkZm6pkKWSMxJpsglTK3sJJGGEkAk2cWDbPxfyLH+2AhQ98ukUvShngJUCeCEEoJ0COyOVKNloiKz/IE1h5XUpxjPMcErkpsw7OivNTbIKQ8PIrN3PTZRs+9OADj37he7/nzWsBDrDUa6B0/TOdQfBdHt71nhoT+EkOcCYOeD7yIP/Nzud1vnhaKpuBvKK9bcrMWe9lwdoO3En6nknliCn53tks7wRZs/zFZxr86vvanMvALSd1t6KSscyTTiXnJGNwvg5zl3zu9RwU95b4RoT9jbC+ttcwq1aCCS1eGpKZ2nUVoKfOishZ3DF7NlvbPdoC7Na6WYZjy5aZhH/xY12WuooP3S2hloFbrAU5msQUYySyiT8ZkFVaZahEUaeSHcSyEsh6NbHVQ1i1S0V+2Ush0AZ8Y5lr+8y21NO7t7U+0+sNK8e03EDPna+5E7P66Qc3Tq8+PjuV0KiNadRCGkFIPQip+RG+F6dbXVe31Sgzb1lXi1LSpgL0rMZElMFdqi0p15tUwJ0mdgLDoVOaP7q7ydkLfgHuCrBdI4NIWdsTxd465VLYSnBJKY4o3asvUnae0N/fpCrJT9zX/fOS913ezmNdj5y0HqXihVfHvblm5ayPs7zRrErnjSus1RiriEPJlg0J7/o7ffbsCCFMLUNbsg9tDDZJ787CCw2MLamFSHp3dmBmCSbZa1N6bcRaqzD9N/l23YlgHMMgkvQjSS+U9MaC3hh6Y8XRM8PHf+O3P/Pgq17z2spx1JMH9qJd84Ak6p9BmK4rvhPuinS7fClio9zOXyLr9BZ5NFxopUyamEowWdbe1YylyUEu15EklYylbzh8RvOv3jvNl5+oQU0W4JbFuwuizgAAL/BJREFU8J6stjULLPP+SlEkc9bT32tmEMpC+71UJWGeCi/fJ/++WN8lya6K8l44kzZZ7o+XsnlOfztXQaQB5npFWaJUq+KSRNJtCJU5XMblCpMSoyajmNfdNOKXfqrDL7x3iiNnfccQpAyefdlMW6CwSELjSDyrLLRZehJb+S4uYiyObeFB2Tx7mXfuGFcSGxkYJYIwPW5KpDu91RvctGWXc4UmbmsAvu3iN4LQ4ej8IRjvR0rXthYnmuE4YBT6EGUHWlWXaWErAJ90SXIdnmYpxSTARbEaTII7B7lnOHZB86//2xQfvadBKNKdoJjU3GptYCmKRob1mzBKenodcOYALjslE9r7JW+T6+7Ey/XnzxQysLzxU3V3ZJFeLFmA5zKbhSzJgJ+C3UiEyAJQWUgVazGmkCwYS01b3vkdAxIDv/Bfpzm+IFLElDT5mu8iidOLoNzpY1KJknUAkeryrACL7BjbYuCrTVk8SzD1YsEgstgwcisJlthYrrt2Fz/yA28IwyjmP/7SNwC4rs2D2PDP9dTFVz308It3njwXYqyk6YXcckVCI8AxuXD2k/tAhXCaBLeYAHfunLwkuCeZO05lSoTWhuMLmp/9z1N8/N4GoUy3XitLkornTdGGVpEmL1E1yESwWUJuRaqUXJOKPClfCf8PbuVRypWsJlXWzwCfMfh6k2kzYFMCvEhb1VxIKvPEjyMnhTAOqlFs8VTC979xiFbwc/95muMLfjEBaA2TT4AciimclSvdVp7LNe9Uj4UxTqL0Q5hudLnjpiWaXkwSG7rhNC+7ZutXrrt8xz8/t9RdcyzXAFzIeT73pQ93rZ3f//O/tedVBw/HCiHxxYB/8D3n+b/eGSJEjWzyUjmVvB5zizXgtmvBLZMC4GuY27hspTb8/9v78jg5ivveb1V191w7O3vvStpd3RISIA5JIDAYMGCbZ/OMY5zYeXEux2ds4uPZMYkdE+fFGPs9H/jIixPjAC92iA3BYOND4AMwYEAYYwy6hSR0rFba+5jp7qrKH1XVXdUzK61AsoCX2k9/eqanZ2em+9u//tb3d+0bpvjrLzfjtruLCE1fQWIcOtQBt6OaIOPMgRvDbsBsexFtANtWmyIDbAfTMnX+HA3OnZiT9MSa1+BsIxCQ2iojoSlSps4QB+za+UMSJUV3LLOKCBmrDqljVzTlIJCIAXjguPLiacSc4C+/WMH+YbggP5wlnyXIgUyslx7mfAgAMY/wrtcO4j1XTIGJArgkGKtyPkbI5g2PfnN8zdrfPzLAASCKCfYfqL57bvOctaxn4HQhgWdHm7F53zSEGEPMPcQxAxc0ORGOVmkoQKKc2OC2J6TphJI4E0vbcsegjIN7wD/f2YRv/6iIkNHE7e5m59RTk/okhsN4LJFOLhuVh3CseUMKk14ZR4lvRz1wJEFY9ESmzarsSaYwt/Wst9O8llhymejiJmALxuMpTCyjwZ0EkarHN+ESHgTe+MopbH7Gw3VfLyvwspk4eXq5x+ZXzQByM49RXdtc+meiOwGJHCfwKcfCHoLpyS7sP1iGBEFrW8evc8HUuwUpNjy2DQH+2kvfhK/ecAt/zfmL5GMbhiGFwJxRjqZcEYfGCCan8ohimoKCSl2p1PppyUQzlQVdy+2C23bqJJabxKBMgHjA+gcKuGV9EbVGMiB19W5bNbF7tzu5lRYPp0jDX23Q2pn05pTYXJtYgDarujDZ2YBb79hIWalLhNCgT50+9aUmhIkglKq4pXCkQyQghw4Ok4JAgCrzr51AQrD0N6grBQEX+L1Lp/DoRg8/erAISWJLE0cDCZFpkJt9UpAnRsI8lq7izIhMmiQEOk6fEoaJyTJ+uakVAwcLYB7D6c2nSSYZX33OlbMHOABcftn5CMPqLWW2e5mPvaU9QyF27CviqW1llAoy6RTMmIAHoVtxwaIk7pKlJXXgNsA2nksSg/oc1AO+e38BH/5iBU/vyOmEYTbDoqkJrbfeid6NjHvest51tU4MQJ3JZyoPwgK0Q1lmC+6MG9ORAZHRwG1O7jh9VPMntatr6W2rnfBwS0pUQFaHDdqKp4FUGohEgmiwMxLjlEUhPvu+UXyIAnf9vAiwGEmN5QTk0rHWjSy5ArXVu5Ok14UJOjMVxXwGtHgC83MM4XQZP9pKsP8gxylLOyYvnXfWLYV8fsZjTGd6Yc6cubI29svr15zZfailbS+eejbG1GQOO/cVMTwWYLrmIYqZKlGgb4EJUMyBoVK7iC1wE5EsDriN+92A21PgvuO+Aj7ypWY8/YwGd0NHTgpuSlQIhVsCwljwTKyJbUmy4E4A7MafNFJL6gBNEsweBt2H2Z6JUZEO6mFNIt19nAmmIHDkQuFKh43XFFKqHkBpmC0DlyrEVggGETKs6I9x3XvH8Nrzp1TcKjd6ONc6ubXWOrnUakgogUgScGidW6q7kfne5hcZd7zPJAqBREsJ6O/y0ZQr4aSFExiYOITm7v5Ddz/wxPU9c+bMeKhntOAAEOdPwsjoCG5e34lduwhW9BGEEVANKfI5isATkMx6Q0JgM7EnNrg1oOvAnTh1FOcmGtx/9eVm/GZ7PgW3A2gPdqwJobCK1tc7dbLW23bNzwR2WNuzltux8NmDdxQ8vE4atKx18jyJTcm4vZ3YFJmklxkeTiwrntAXEAgol70gEhBUTyzVNsU0pPX9MzPfCDhlQYRP/vkYpAS+d38RwGwsuZp4EqE7Q2hLnmYqQX8LvSZKR/A9IOcTBD5BzBlWzs/jg2+OcfrZfSgUWw57bA8LcO711vYfqr2zq/Wkb7HqtlJ7xUMQwI5lSb6IHWNMG1CUOp3bAbelllAF7rseKODqLzXjKdty246cjPUmGtCNapvYNU4SpQSooyTOBDIDdgP0dE1cc66R7j49MsSlPqPZKlfOE9sZpLlJo9qFUhN5VV1KIuvSF4KAUFVaglh8XJWHU5NNYUpT6ecQgEpmBghl6YQyBE5dEOG6945BSOD7DxTcSWYCcpLKIxrkkQY1BNH1ClUrFRM+a763HY8iJRBGAoMjHnyvhDNPmz/Z3cbe2VRpqz1ngLcFE+LCsxY9snSuP3brt/eVygWBpoJALtCpbMyK5XYoieW+z8qARucmwgK3yYrnkIzgBw/l8aEvGFqSzYT3UmlQW24jCQbaYptQ2IblHxylxwC5fpsN2PQCIO4F4AAeaMhfUL8tw0IyO6a6a0JPSGayKV2N3AAg5eLpPiLh3XaDV8PBVWkJNb9U9VQglLGQ2nUOChChWrxzkfm6IbByQYTPXDUGKQnWP5gHB44w8UTi8VQZ9brnJlTqGycy6ehmSrNFMVCLJCamOehoBCkDXNRz8Rj1+h45ODgpcJhBD/diT08XWlsqBwNfXHnOWSdHreUaKk0xSvkYuSCNSXFzKLMeTOOq1zKgo3Pb0YEK3D9+NIcPfK4ZT+/MgrsRNWEAJalDJ0NNTGxJnSVHvWu+zmpbj1EH/AyqCVL9O4vnWfIURwmBS1sS1779HDaQiRUjTjIXQpreZlQUt7aKxdGdGBWSWWtOnqS/aU5eo1g5P8Ln3j+KC9dWwQS34lX4zLErACKpliTlTapEhmTNgYgT1CJgsgaMT0kMHprGvP6TorGJ8MpiqXywqbnjsMf1sABnzMfBA7vR09O/Z+nSxdv75wZoa55GcylEIR8j8HkaeMVMGplILbSx3ITXW3STakZUZKD0CNY/nMN7/3cLNu/MNw6eora3Mp1UmgSGRtTEdGxz42PSWbuTieSA27LeLpZT7Ga4+tGCenaAJym4zcTSTMic+JQ0dsPUSklrHJKM9TYgpw0nmWknCZKCWrIkOEsmj3WwVkixrC/Cl/7nKC4+qwrGG4A8yfM0k1BVPDMSatJpgrNMTmckNLhjYCoimJgGBkdiRChj0eJl2xctnL9n2/ZdKOT95w5wAKCUYnr47p3lwsTbli/vRWfLMJqKNSuy0G6samXBMxvQMuHcJKNzsyCG9IB7HsnjfZ9tweZdOt2sUWRgdlLp6N2qpJhHXGqShsJmJpY2QBtMGrMArpMMG4FahwvLBi/NBOJkfRjJxQm2AmBKGktoWmL2qwNz6s20rbhjvRPLnbXoBthWHyANbK5Brqy4BfLeCJ//wCguOqsKqsxvA0uuAQ4OKSUio6wIgthEIXIVWBUKoBYTVENgrEqwc0igd9FyHByN3nbTbT/fydgR4Xt4Dg4A7Z29kHwMoOV94Uh4nxc/dP7o2DSE9K0IwWzorB1PIjL5k2lMt5fj2HWI4cFfFXDNV8vYvPMw4KYuuKGpiFJN7E7EqcTUsOwabFoiHY7dkJ4g3SG15iSx5o5Fh/t+tW0W5tzwbAuo0LHPWa0cCXilxc/1NmKCrqD6a8LwcCTue6H/h+HlAkoPV/9TJOAGFSr9TcewCEpdTg0tNpjHUPhd3h/h+g+M4uP/KPCLX+Wx6xCAQH9/w5YTXk4gwRAZLV7XwZREfS8u0nM4HUmQQhmnnrb0vje//vx9w+NTaGsuHfHQHvkSAEBYM6aGfrJV0vbrSWEdpFC9Jn2mGjoZC25XnkojAt3kYKZ1bi/HsXmPh098pYKrPlPBppnATWcGt0+Ur8yzuHedIweWLIgM6A0QLX6dBbdNbxoHXjUAuky32+BviG0zoTTzy6y2ba/RgIfDsuxGJ4d1IYA4XNyhKcKtWJuUZbZaFcpknXJxm66IxJKrRYYEy/sifPFDI/jYn49i6bwQqNmWPFaLNGsOoa24seQ1QVDjBFWuQtFDThBFMV53wcmY19F0/S3fe3DrbMANzMKCmyG8k0H8lke8YnR70HTwChI9hcC3QjZh1xLUIGdWuhlN6wZ6eY6te3184h+bcev6IqqC6QmlNYF0lJOZLLfuYwnLkWNKnVngbKh52+GyAGZST1KAEhfYzhWRgXHD2eYRhpx5fyedzQZyIpmgzpoLLbMZy+5GHGpws1Q/l9AFgyigqmvJJFBLSSkAoQIqdQiOJVfWgCcXIo04uls5/uCyKeR8ib/9SgXb9gZATv9QU+/QkhGFoAh1bLgHgkgCQuv5gYxx4ZmLcck5K26/aO3yRwYPjWO2Y1YWHADKlW4Qvn9nS/d5f9HcXL4TDPC8cQR+WKeUuLQkdjoteIHAtr0+rvm/zbj1niKqhAF5u9uCbbEPD+5swfpGThzq1AdpQEPq1mrimljrjHpCGix1s8+6cXSzTkc1ker9CQ/PuvORVVOyCkrWg2nFswiXjyccHXpymagqJPFsNrTkUvFyLhg49yCEh6jqISeAK18xjY+/cxSL5oVK75PWImx1RYBrKx5rdWUqFqjxKTRXCMqVljuvePXZf7Fz38jO+f09sz6Ws7bgAFAoz8funT/elW8658lv3DF0eTT1GP7k1QIeVVzPBbku66BLqjEWw8sJPDNgkhVKqBGmk4SzMiA9KnA7kYJw5cCEcztrVzlB5gKo8+E4dMYCaxb0xAL8bJFMsrRDWeWEsmRfd1QUfQclGacPqY9dcfVx27Lr0FtoTi6MxRYgVGcrgCaiuCQApSJtf6ItOdU5mUpLV8/jiCDvcfzupdMAAT725Wbs3B+knDxplUKSNPukdIQAKrkIf3TxHqw7bSVae1Y9+YOf3r/rsovOPypjcVQAB4AQfejtnnMd8/cu+s2e2u/t2r8fc9sB3ws1D5fJZNK0EKEsRgyJh5/I4R9ua8K37i4iJMwqRj9TbAlNUOPSkozlpi7QU67tBlTVxXpbjx3lxNrmTjSt/WcaWW4zy+HEgZMZXtd4sK+P5IG5EMwVIUXSt9K+I+haP8lkVBXqlCk4AZ1NRkGl0MU8kYCcUj0hheoHlHykVOWciV6rg8cRx4DvcfzuxVOAkPjKrU345aY8amlcbkpVCAUBQUAkigHQ0yrxyjV9WLH8tFta5598XTi556iPKzvaN1z/+S+ib8krai2tvXe1sv0X5H3eX8zHCIIYgRfD9yI98dTZ716MKiRuuquId1zbgg2b8oioBzA/IwE28FZSVYmqEbg9rYKkpdVSMDOtoiSauKWoOJ3T7O0EMGWRHb5OVAY3tR6T5L26tBo1BWt0ihjc52mPdvO8gbpD3JBds39W0qyXOC3vqrF+Dd6TvXjr5iJwL+bEZ5A8N1evvUEnvVhBOsQOnNeLFKqu+MpFMX7nwiqGxgg2bvEQCftfqjsHoRQlBrTlBRa0e2it9N1/yQVnv/HAns0T8xacfdQAP2oLDgB/9pZLsG3LE1NY9epw9+ZvgWAYPuMI/AiBH4HRSFGSIMYkB268s4SPfrUZI+O+ttpZp019VKBx4qgaJqkjx1huQtK6gY3iTihkPTBsqlwHFOtkZgDhzB1nY52fgwVPI4zUU0fbtmmK1MkBeqeUi2doinmvXohlzRMrniQ9IPnQJB4EqnA+qLLkKRaVJZc61Y0Sa+KpqZGJPU8sOSUAJ6A0RkeZ49p3jYFRiZvuKGMyBBCkP4SDokY9xEKg2NSKc857dfirbXTqzDNe+Vyg+twADgC9fQshpXjYl6vOEWPPFMrFCQTBNDwvgudxECqxZT/FHfcWce0NFrgdyc9DPd9OLZyTtABb606Lehpq4vDgBrElxloZANvKSR2gsxeAtQ+Sx8QBfl2iw5HmnfaQM2yz6Yoh0Q5F0Rk+1sWRTEZJCnIFaF1/hNjAJ+lFlKylbqqq7kSqUTBVvFsioStEKB+IpKr6qySaP0uh2ppYKosBu+L/MdpKAn/39jHkfYk7f1bE1v2B4vxeBCIijIsimgtFnLV29fTChQsepnTWWsixA3guX0YcT/71nAUXygPbHnv/XY/sz+8cKIDAx4rFNRRyEp+9qYyfPJ5HjfvpZJJ6ABpl4ygYGmrha8ttwl1V8FSGZkDfSmGpJg7QUz5OMmB0uDUAYu2QlQxT0LrxJvqm7IA6Ow7H1x31z+bXNlhneG4sexIfTqxkByKdCySdVJIkcybJ57SA7ewD5WyhQAJyQgSIrgVOierLKYWx5MZ4mFxdC9S6JYokeh1xtBZjfPJd47jknBo+e1MZhRxw0uIIRDI8uTMHFF9efcPlL/+85wUfrTQX8VzHcwY4AHheSUwP3nDN3vH+6Bv30o/84N6hgIdjuHDtEAQnuHdDAdLzAM+H02HBABuu1WbELtAjE407oSSQSYsOx4HjcFrZkJbYcSh1SQ/ZNeoviLoJZh1wU7gfxut+xCFtoGeAL63nRKM0YRganIkunigr6s3Gipt9BZIkLMshpIGPVD82v0WxFZX6I/R2qsFNdCUzqY8/pQQQqlwFEstNdUkLCqpjXgI/xmXrqqpSQwy84kyOyckKtu3vDe/Z2PbpL/3bfX//mQ9ecdhowSONo55kZofo+mM+ONb/i/FxGRaDAxe+6VUHyJ+8ZhwjkxRPbCsiJgHg2b1xLJ1b9YFTaUm6XneOyLS1SDJZzLjfLXC7KomVmmYuCut9jSZydo3uum2Z7c4+ZkJHsxNK6zVnkmlvazAJzF54DS5E+06UvkaSC8+9c8kZJp32/hJ2CILj1YVM7k4z34TSNG2ZPAYswqgsOaheE6RN7VUsUS2S+P7P8/jn77Rg6748KqUu0Tfv1GtedtqCz5yzbLx23edvfV74fF4WHACu/dDr8U//etv0ujN6b794Df/bVd37cNoKD9v2CRTyHqan8wrYifWGstraoWJaiWRLOzAzUTQnGraKkMmfRLpvI4UCSLn3kRw+Df3rtjVvcMZJo/cchRZuCj25nNt6nqEoKpMx1biV4c7SlDReJakypeVBc0gE0QU8kXo7aVIdVq+RZu3T5HepbyL0h0uShkdLfd5Mr3pJVP6Q+iyi23sr5xBlBNM1iV9vCfDjhzuwZcDDuWvPkM0dPbcfGhmd7lv8+7M7hscT4ACwauV8DNdatvSXW97d4sl/2LTjDrr+QYahagnIFSxgpxYhpSMybQQFS/LLAM+pGZidKBIkGdgkuzQCso1di3rUWzKSTjYd3BLnvcdkNPhfiTqCNH3NUVosjm1w5zh9CJCtimV7OxPxXSssanfltjdufvW6+mdJ3RVzJzB1vDXApb5rSKmfU5HQKdU3U6fIEQnCPXDuoZQnuHhdhB/9WuB1F50n2toWv7vQVtniR5PH5LAeE4CffcZq7Nu7LeyZs+5r3/nuY8WfPrrwc/c+NQkvKCEXqOs+lipDQyKV/nxqeyPdJAUbeNT4+JxttrV2gW9ba2StfWYf9f/IjIY33T5DQkODcUyBb4Z0wW7XggSsSaQ1AzD5m4RYF4vh7SY2RVv61FGk3fhI0ykN8E38eXJTJETxb5Mdb6y49mpDApIS7fnUoE+KhGo+L32ctnAS172TwS9NfPDsted+bePTm/mKlUeveTcaxwTgADBn7mL8evMefuaaN2/bMfT4eGvT+nIBY/A9FUw2GRFUBUkAbjeA8qxC9AbQ9iTPHo2scUPLDbjW2AI5rNfTf5x5PUOBGn6ZzPeywficPZqz3cm24lDW1I4zkdqyJrTGTlZOZMSUwhhNPQEzUgsutEWHNibmLkD0ZxtDQohMWpFIKRS4dZFCqRPPJQDOGcLIRxQzjE3EaCp34vJLLx/Ptb1sWxTt5CtWLn/uQMyMYwZwACgUmsDDyTvfdNmaP68E8edvv/OetsFDY9g/7iMWyiroMpmJ4yatG5gmKNggbHTCXXe7y68bcm00oCzmYqLEBTJBvQUm5mzWW/rkuTx+ljv5chk3fpKFbiyyzdcdh49OVibWXUBadEVTDcPF1a6WtdY/zlZlzFdLvyLRE2XVvpBSAmZ6fjKh412kdtBJCMEwcKgAP6igrf+ioWLLuvfVJibvzDc3HdPDd0wBvqSvAgAYGh69+Y2Xn+d1t5DrvvuDn3U+tOUQhg4BYS1Ajqnbmu3E8airksCcT0fGSodtwS1/S/oaUvBnaYm9T52H0rm4SGYfF711Vj1jsZ8L1u05pbT+kaOFZ2XEzPvrJ55IaAmRqaVHhq5IYo450ZRGWgbGvoL0ZzmOonROIrR3MykxR61zQQHfizAdShwYDjA41oOlKy8Y7Jh37l/WoujmQqXveWMwO567i+gwo621gpwvvv6qS1529QXnnDx41esncN5Jg6CRqm/k6avYo2nNbp8BAZXw9cJopv8mqcOQM+poifWCg0Hb0sPNu6zj2DPy8Zl/+7E04gmwkbmT2RNAwKUZdsista9TLEhPGE0b4iQpwthrE9iVsdaJTm6FzHJBEeslitUSc4aYU1VDXqRJzACQz0X4xaYIX7q9iFLLyYMLlqy7enQi/nqh2HwMj1w6jgvAASDINeHHP/nZ19rbyh8+46TOIQl128prAHtU96dkQMCkWjzVUt73FOA9Zpc4ljNTANtCJxb3yOloLtiTf6XWWWrjftwLYiTANs+tB26sCmmooqRqSuZ91jFodLDtTP2YU/CYIo4Yojhd4pgh5qpAK9dpcDFn4DFDzAEE/UOElT684eF7v9bRVj5ux+iYUpTseOUrL8PevZv+dXJ6/kdKzd9va8nvRM6zYki0Bfc9tTZOGONG5kIVbhTcPQE2N29Il2FxbNJgO1zK4XBvYtSJF97IUHBneyrzWZNKPSHU7NdxyavinJbCYtEU9z+rtTlGUmuSJr2Nc6pakIi0fB+jAp6uPEuoBBUSHBIiIhgcKWHtyt7x0Ot477aBgX+76q1vPa7H7LgCHADau5fFpWr81iW9Ty8kZ8h/evBXO/Ng6mOZseCeRGDKfcNqW8F14RoCQJgadta8i9harUshbKrS0GIfwYLXjURFOHHgT/TuGTm4ie0m7sRR/7A0OcI4fEhqwRPyL9P5iBO0lh5opc4o2hFzRUs4pyocAABjFIHHQYgEY2lt5TgWQLCy2laZ82f/49LSrdVqKK46zsfsuAM8x4i87vpv/vzUhS0PUd49LYn8fw8+uTMfxz6KvgJ33gdyHlGdSIiKewhjZWkifWJM4yJzmKkEoJ1DdsRnAlaSsdjEtd4zKSuuhv7CGg2/kpkwIo0WBGz6IpMYlZmzfOzJq3pPStVMTUnzf9WBJ0KdHx5T1EKGMFaAJwA8TyiwU4nA5wi8CJO1CF5+ZTVX6P2D8bD/9vF9B/nSVX963I/ZcePg9vjLq96MZ/aO8E/f8Ee3/cFrC394xYWtU5PTEQgBch5QyBEU8wRNBYKmIkWpQFAICJhOio10C4uQk6R+hunaZSZXDghs9QRZC04Oa70dENmS3G/jQM1q1JMIW65LK9ESl39Le20tDX6bOmZpr9M0mZzDY2YRAFHnZrrGMDHlYWzSw/iUh8lpD1NVD7WQIeYEhdwUBqvzpn65q+cPF696y21MDvClq56/G34243kHW8123PODW/Hw91vwilec9NSZF7MdPvMuEbXxfHMBKBepBjZDMccQ+Mp3Wa2pgi/jIcEkV+UEuJ6Nm+5m2QCpNF7c2uZk9NRn1NRVtMq8Bmc7meGC0dksRAVbIbOdzvj+Bt/jsNvkjO8339OgtO7CtSfO2guZhjpIJ2jNlOBjVNEMTy8+M31TgThmmJwOMDwWYGSCYbJKUIsIONf3SSKRywlU2uaO9s6Z8451L7v3li98fQyXver48m57HHeKYo81Z78ff/RXN+DsRV3fXNTV6iPq++z2rRvbw+oYKk0+mgoMQaBukcOjMfYPh9g3JnCopsr9MkYRUIIiA8BUSWBm6WWOtzJjvRuCG25yciN+q5lQAiClHZOZ6cLzpDZ1yo31/xLa1OBzEhpt8WmhY0CEoR1JhwXN1Z0iQml7lPTzNMiZql7meTF8pqqZAUA+KGJoLMD+oTyGRgQkJIKAoalAEUUChUIbWroWH6J5/wOjU+Vv5p4leN+fvut4w8wZv1WAA8CNn/xT3AhgaHjkJs/zvPvuf/BTDz1wf6dHptDRKtFajtBcirDxWYJnhiTWVkbB/Ck8sSXAzgNlTOUKkKA640fqnozWSQHsrDcrnHZmcDvOnNl4JLNRfxpQdSrEbAA/y886qu+kZ5QmGRg6eYGoEEIQqrN2VNyTVY5C/xACRfN0TyVGBTwvRs6voVio4tlBjse25uCREHGtil0HGLY+S9BSBColimqJojC3gkXLzx9cfPJZH+Gc3zSvXDmuuJpp/NYBbkZbawsmJ6duuOiC80ilybt229M/62wrDWBh7wQGJ6axcU8rTllQwuXnepg/p4p7HhvF390Y4emBdtRoAXlduaDewynrsnpM0nCjAkCNFBdnWKGq5jMAy1vo7qYeEziO7sOOTEhso0FmeDzjv9T+e2IK4mtLbiajprSDUaFUuQhT+kHHsUhjBBT/9lmMfFDDjoEIH/uXdvzwkS4saQ9w+dkCS+ZP4tHtwLb9BcxvC3Hy4jacfub5gytPPedqADc0lY+t+/1oxgkDOACUSkVUq1NfO3P16rinA5+bOvjd1vUbDuDBp4sYPlhAf8XH4FAzKqUIl597AI9vHcPWfy8h9nKIJYM5ZY3UkLouanQGTtvAv57FWh24G7xO7CdHQ1Xsu0gjJGdvCTPJhJZ6kgDX+nVCaKmPEh34TVS3YwLdKwcJTbG9miaIijEOFoS44/48vn9fJzpb85hbEZCigGVzgHdcPoiHNlfx7P4luOgVFwyffubqD3EhbiyVZldi7XiNEwpwAMjni5A8vHnx0tOHNtY2Lt41sezTv9n4uL96MUE+RxDFFNOhD84DtDbVQISqgmTmxy6gM1WtqC4FQdPMnmSiB7jaeaPhmGWjL6eiXDbAyX7b4f9Z/Z1iJsza5RuyiRnpRSrdC07WfyqRarIrYToN20oT0UFSBIK6agtgQmEFQAWGJn0w5qOsmyBMVSX2HMjjtKVFXHz+qdHNd3d8eN3Za7blc4Xv5fMBTvQ44QAHAMICcftPt95ZanlLsO70p6YWtBW/MrDnadJUiGgup2QpEIFYIDmrKj0t9Yq65dpMqhtJFRXi1j2xrbFsgMhG26zw6xlFadU72P0/M/HnhqA+wqQXGUCbC6DR95cgSWa7UWBoVl7RVlxI1ffd1CNMyrmJNIkYUjnnJKQqkBlKjE/GGJsuC1q+VFba+9/z0ff0/QvE9pCwM34r2DnS+K3o4LMZV1y4BHO8XeHqkzpvXrFswco1py/7mwX9rSgXJtBUnALLVbWc4YEQCp8CHpMqEpGm1tuRBanyjqqwAJX7aRZq9+uxra8dZor0MdB4u5Qmdrq+1PFstHMbyMTZ2NgRZZ7b9c9h7YPk+6n2gsYrHAuAc4KYaz+CUHKeCpxSAVTG5S4cNzwFl2otBQUVEURYw6FpYHCMo1juQGvnor+ptC9eGaP/5j27ay8YcAMvIIADwCmnrMSSJQunWwpDm0eiiz61dMncTyxY1Ms5qrjnFxzfuLsJIfPh66CtQEch+gbIFs821IQSgDHlNPKYfkzVQilJsvSNxCbNn3AbPAmZgljaYX5oDOSjdgxlaA7JWm9bs848N9RL7Yfk4hJSA1mDOeYEcWwe0/Q1kRbm5JKAC4qIU8ScqqCpmCHmHmTs400XT+HCs/ajqTSNeUuW8Z7eRZ94y2uWf+rhx/ds7uyaP93bf+ySFY7FeEFQlOw462Wvw94t/8rnLv3jj0v5rHfLHT/44JdvfCR3cHAMlBDkGVDwJPK+RM6TqVWuoyiAx5Tl9hhJOTjSoH8IovMEAVPMMg3q0m3uBAGoRWcMVZkhNvtwtGSmYQM0Sz8cbdx0ADbAtlLSCHQXB0AHQ6mANfsuZOaYHpOJs4wS1V5Q6IlnDGpxcIB5Ark4QhRT9PcQfO2jHrYdXFNr7njD/zljRcfHWXAbrn7PG040bBof1xP9BQ43pBzETx+rYH5P7dqB/U+cc8t3bqbfua9yzujouNdbIagUCHxPJtaXaL7tMcD3iA67JfAYgecRfREQmKg4IYCYS93sSIJztc3QEFOpljh3BD1ppSmnZ85rxJrckmQbs7fRek9rSp2kdeeRyRyCme2Jh1Fzak1VAGjeDMSxCYIiuk9rmqlp3uszCc9XYcq+LxB4Ap4nkp5GJgrR9zmaClU0N42hsz0X/+xJ/8FVZ7xVLFhw8oOExFdv253Hkv4To3HPZrygAW6Pqz9/B/zAK4+NTX51x9Znfnfq0F7KUEU+YIi4qq/BuaIqOY8g8IFANw/1PQ1ypmkJFMBjLhFGErVIIowEItO0V3+mzeeZrcgkyowFZpICmNUBHHp7Y4CbxzbAmQF4so9MntuJIAboAHS+o1KeaiFFNSIII4I4NqUf1PuVAZAIfLXkAoGcz5HzBRhTJZSrIUMYEVASo6ONondeRbR3zvv3XK7p7ZxH46WePz7RkJjVeEFSlEbj2vf9d2z49Y7xUjH/3h3PLNr6i4c3nOJh/Irdu7Zj3yGC4QkKj0kUc7p8ATW8WwE88Cg8j4IxpXJwCbBYQAiOWqQUmijWEYs6TpoRbfkokrolNJll2lGMMwjfs9DDHe5sP3T4uF3zJY0T8Vj6mGrtmxOq6pVAWfJqjSCMTRQsSToHa18QmC79TQAwJlDMcTBGMLqPYNuzFIsWLUGxUry9Zc6qJ4uVuV+Ioup4qXnpiYbDrMeLBuAAsPrUhQBw8Nlnn/3YmlVvnD+4fws2be654ue/2IB80wCe2N4MShkKgQQjBL4Bt0+R81UQl6EqUgK1kCDmEnKaI4yA6VDqOnz6xDMJzwqtNSCSdsaitAhwAve0KdTsUK4vINpQFXSiHg3IjRX3mIoVUXHXRFWEJR6mqxRhBExOS1RDFSLLqDoeXLcQIVB3A99Tn5oPOIJgDBs2CwjZjwVLVmFu/7LbV6xa/r6x8YmdbYV5JxoCRz1eVAA3o7e3FyIa2tnRcdKHJMnfvGTpvL/YP7Dh5Vd/cTeq41Wwsqf4t7bcgc8QBBSFHEEhkMgF6sRWQwLOGfYd5BiaEKhGmnfqxhO+lIAnYep0N0zzsoZd388A3jSJajQc403qLXfdvolcSHQQlITvcfi+SPqVEgLkcx6ma0VMTlMcHIlRCwUYU3QtHzBISZMoRwP6mBNAhsgVPITBGpy6YvW9XS3FL5RbFz5xcCTaOb/vxQdu4EUKcACgfhsAbJVSbgXwZM6fnPPht539j0/9ZtOSjU89wQJfaA5O4XsUOZ+glJcoFyXKRY6mUoRCwOH7wH1P1bD1oAQnBRQ9iuZAohQYmgJIaoCqzHIWiEkijAmMwuEvBEf9a+DRtB1Rda8hpSmMSXieQC6IUchFKOZDBH4VlEaQsoQfP9qBjbsoCr5QsfYFCmlaaFOmQoH198vnfFS6zuVz+xZu7R2P37Fmzbn7hMDm5uKLZprWcLxoAW6Gjn/evH9gePO5q/mrOlvy815z6ZpvP/Dz+5sPHhwo1aanQKlKZi7kJFrKMbpap9HVPoyHtwg88HQnrjjPw6plA1j/K4mv/7AHcTWnOjZrZ1Iqs6U8ofFpT0NQiZRpbPYsQO6mhTVIYoDN9zVnJhrgfoxysQrGxnHj3RT3bGjF6oV5rDt1GoeqMR7dVMK8ZoouzkEp4PvqzlatSfh+CR3dcybPWnfOWMDCKwvN/XtefQHbWci/uIFtxose4Gb0dLdCSLFz3pz23WPj4yfnA7KOQP7Tlq3b4u3bt7bxcKScDzgqTVV0tg3jse1T+Mp/dKGvOUBLkaK3vQVvf/VePPCrETy5qxPNAZD3UnCR7KL1dNd7iESCtPtXNhyW59Hw+2yqnONBNRNbU8THBEFRicDjKOSq2LK3hn++ax5yqGBJK0PeF3jPFQP47H+EeHxjKzwClAoUjDF0dXaML1y0eGj+gsWe79G3dXUvfKhQLI1KCUHpSwPcwAvMk/m8fwyhIISIWnVqeO68OT8sNzcvu/OO2xf/zu+88e9PXXXmb9o6Oh7v6shVqxz4u5sqCCfzaCtLhDHFodEC2so5vOmSUfiMI+TqJGezhtzsmZQTAxqIQmqvp5snag/bKhNoykBkfZyM1rUBtU6XtHQDgQTzBLiI8I17ChgeLaG7rJK5B4d9BLQJH33zCLq7CWi+pdrV3fX4mjVrfvO611/593d97zuLm5rKyzo6e344Nj4xTAh5SYEbeAlZcHt0dfUAKsxoavfu3WDM+zSl7NOrTlnAKs3Lv3JgZHjZaSuGz2OTg6y5JOB5EnEcgQColETSEoUSqPot2r1vgzzRtw24YQFXSLVdmw9l6a2LwLoAkhBeajyTVqyLvgh0UwUVJ0JUsfiIUviCJp3RJICxKQYRA3EUgUsPEQ8wOt2Nk+b18j95w/L7OW/fHFYn382Y4LlcHn/9sf8le3v7pk70+Tqe4yUJcHv09fUBqTGN9wyMvr2jN9d6zVUHP7n+R+uD8ZH9fE5P7sz2zqbVk7Vh3LchwuQ0RyVgYFQg8Ahy2lmk9GgrF1Q7bwDjEVV83aMAoRIMqSeTZi29pbYYTdvTSdYxJ4nDielQVtXYSXldhS4qzyhFGChHDpEca5dX8cDTDIsX9aG7m20oFMVjxco81rXwgvBdp7X9lYhqwyxoP9Gn5Lc6XvIAz4553RUAGAbwLgDYseknkJK+vJifemUUzbmyd4Fc/oY8w5ZNm9FaCFHwQ+S8GIwSCN27zYQFeIwg8JlysPAYYSTABRB4Ki1MejLZz2jvsVD9KaVUThcK7X3VXkUuCKIpgmqkPifn67gRTf7DSKJaUx5HzimaiiUQylBsW4Ur/xtDVJyzqa3U9e2uVu9HXODeCy698EQf8hM6XlqE63mM6vQACPCqvcNYvHP3iLjui98Sq5e3Lly2sPMjgwf2wvc9PL15DwYGhyAFkAsoOlvz6GjzkfMFntgeYsdejkpB5SWWCqpKQKnooVSgCDygFgETUxxhJOB7FMUCQ7kIlIsCTUWOSilCUyHEtj0entgSIPAp2lsoWkoh8oGAEEC+2ArBeiAFx4IFcxGQgU+1FHbu6F/++xR+Ox2dCrYB+GFPZ+eJPqQviPH/nQWfaeQL3QDwQ/N8cPAAckHQsnffwIObNufgeyya07vk/ZDi0jgWIERi2+Yn0NUyiQgh8mUf5VaKQ0MclERglMJjAsU8UC4Abc0xDo0SPLNHYHg8RksTQzcL0JSngOQIvBhdbTVMhBzUp5CUY6LqY0FzK9aetQo5X4WxMob1u/fFnwO43zt/BTq7Lrk3DMORQkvHiT6EL8jxXwCfYXR2dgHACIA7AOCZXfsAYCMk7+ZcijiOcWDfdhQL0xgNCYpFhlKpGr187bnX8HD8tXk/jgKPoVL2ML9HYF7XOA4MeTjEcwhGY/S2MfR1+6g0EQSeQHsL8dvbgu/ufnL9NUIW/XyBIgwZioUm9C9YgcD3wQWhvk8G5i/CjnJl7ok+RC+K8V8U5RiOO79/Pwgh3Xv37a/4NJSMUZRLHvp7OPq6RzA47ON7D5dwaDTG/HaGvm4P5aJq8dFWYaS1rWsUEgPzFr3sRP+Ul8z4T4iLB6evN5KDAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE2OjUwOjI1KzAwOjAwH0CfqgAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNjo1MDoyNSswMDowMG4dJxYAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 94272000
{'hecke_orbit_code': 4504630453076080, 'n': 1, 'trace_an': 2}
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id: 94272001
{'hecke_orbit_code': 4504630453076080, 'n': 2, 'trace_an': 0}
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id: 94272002
{'hecke_orbit_code': 4504630453076080, 'n': 3, 'trace_an': 1}
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id: 94272003
{'hecke_orbit_code': 4504630453076080, 'n': 4, 'trace_an': 0}
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id: 94272004
{'hecke_orbit_code': 4504630453076080, 'n': 5, 'trace_an': 3}
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id: 94272005
{'hecke_orbit_code': 4504630453076080, 'n': 6, 'trace_an': 0}
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id: 94272006
{'hecke_orbit_code': 4504630453076080, 'n': 7, 'trace_an': -4}
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id: 94272007
{'hecke_orbit_code': 4504630453076080, 'n': 8, 'trace_an': 0}
-
id: 94272008
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id: 94272009
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id: 94272010
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id: 94272011
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id: 94272012
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id: 94272013
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id: 94272014
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id: 94272015
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id: 94272016
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id: 94272017
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id: 94272018
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id: 94272019
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id: 94272020
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id: 94272021
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id: 94272022
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id: 94272023
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id: 94272024
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id: 94272025
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id: 94272026
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id: 94272028
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id: 94272029
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id: 94272030
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id: 94272031
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id: 94272032
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id: 94272110
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id: 94272116
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id: 94272120
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id: 94272121
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{'hecke_orbit_code': 4504630453076080, 'n': 994, 'trace_an': 0}
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id: 94272994
{'hecke_orbit_code': 4504630453076080, 'n': 995, 'trace_an': 0}
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id: 94272995
{'hecke_orbit_code': 4504630453076080, 'n': 996, 'trace_an': 0}
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id: 94272996
{'hecke_orbit_code': 4504630453076080, 'n': 997, 'trace_an': 3}
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id: 94272997
{'hecke_orbit_code': 4504630453076080, 'n': 998, 'trace_an': 0}
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id: 94272998
{'hecke_orbit_code': 4504630453076080, 'n': 999, 'trace_an': 25}
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id: 94272999
{'hecke_orbit_code': 4504630453076080, 'n': 1000, 'trace_an': 0}