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mf_newforms • Show schema
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{'Nk2': 3136, 'analytic_conductor': 6.260271518468382, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [7, 1]], 'atkin_lehner_string': '++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [784, 1, [687, 197, 689], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-1, 1]], [5, [1, 1]], [11, [3, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425148688, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '784.2.a.h', 'level': 784, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '56.2.i.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}-2q^{9}-3q^{11}-6q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/784/h'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '784.2.a', 'trace_display': [0, 1, -1, 0], 'trace_hash': 307731063990236932, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.982', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.933', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.771', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, 'traces': [1, 0, 1, 0, -1, 0, 0, 0, -2, 0, -3, 0, -6, 0, -1, 0, -5, 0, -1, 0, 0, 0, 7, 0, -4, 0, -5, 0, 2, 0, 5, 0, -3, 0, 0, 0, 3, 0, -6, 0, -2, 0, 4, 0, 2, 0, -5, 0, 0, 0, -5, 0, -1, 0, 3, 0, -1, 0, -15, 0, -5, 0, 0, 0, 6, 0, 9, 0, 7, 0, 0, 0, 7, 0, -4, 0, 0, 0, -1, 0, 1, 0, -12, 0, 5, 0, 2, 0, 7, 0, 0, 0, 5, 0, 1, 0, -2, 0, 6, 0, 3, 0, 15, 0, 0, 0, -9, 0, -5, 0, 3, 0, -18, 0, -7, 0, 12, 0, 0, 0, -2, 0, -2, 0, 9, 0, -8, 0, 4, 0, -5, 0, 0, 0, 5, 0, 11, 0, 12, 0, -5, 0, 18, 0, -2, 0, 0, 0, -17, 0, 5, 0, 10, 0, -5, 0, -9, 0, -1, 0, 0, 0, -13, 0, 3, 0, 12, 0, 23, 0, 2, 0, -13, 0, 0, 0, -15, 0, 13, 0, -10, 0, -5, 0, -3, 0, 15, 0, 0, 0, 11, 0, 3, 0, 6, 0, -6, 0, 13, 0, 9, 0, 0, 0, 2, 0, -14, 0, 3, 0, 4, 0, 0, 0, -4, 0, 0, 0, 7, 0, 30, 0, 24, 0, 8, 0, -11, 0, 23, 0, 0, 0, 11, 0, 5, 0, -1, 0, -20, 0, -17, 0, 16, 0, 0, 0, 6, 0, -12, 0, -16, 0, -21, 0, 5, 0, -21, 0, 0, 0, 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-25, 0, 24, 0, -25, 0, 6, 0, -23, 0, 0, 0, 13, 0, 21, 0, 34, 0, -2, 0, 39, 0, -1, 0, 0, 0, -17, 0, 13, 0, 8, 0, 3, 0, -54, 0, 4, 0, 0, 0, 23, 0, 6, 0, -14, 0, 20, 0, 15, 0, 3, 0, 0, 0, -3, 0, 5, 0, -13, 0, -42, 0, 10, 0, 5, 0, 0, 0, 10, 0, 1, 0, -6, 0, -16, 0, 36, 0, 5, 0, 0, 0, 11, 0, -4, 0, 0, 0, -12, 0, -30, 0, 7, 0, 0, 0, -15, 0, -15, 0, -6, 0, -1, 0, -33, 0, -14, 0, 0, 0, -37, 0, -42, 0, 3, 0, 22, 0, -11, 0, -6, 0, 0, 0, -6, 0, 18, 0, -3, 0, -48, 0, 5, 0, 35, 0, 0, 0, 24, 0, 3, 0, -21, 0, 10, 0, 21, 0, 6, 0, 0, 0, 28, 0, -15, 0, -29, 0, -13, 0, -41, 0, -15, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [-1], [0], [0], [0], [-2], [0], [-3], [0], [-6], [0], [-1], [0], [-5], [0], [-1], [0], [0], [0], [7], [0], [-4], [0], [-5], [0], [2], [0], [5], [0], [-3], [0], [0], [0], [3], [0], [-6], [0], [-2], [0], [4], [0], [2], [0], [-5], [0], [0], [0], [-5], [0], [-1], [0], [3], [0], [-1], [0], [-15], [0], [-5], [0], [0], [0], [6], [0], [9], [0], [7], [0], [0], [0], [7], [0], [-4], [0], [0], [0], [-1], [0], [1], [0], [-12], [0], [5], [0], [2], [0], [7], [0], [0], [0], [5], [0], [1], [0], [-2], [0], [6], [0]], 'ap': [[0], [1], [-1], [0], [-3], [-6], [-5], [-1], [7], [2], [5], [3], [-2], [4], [-5], [-1], [-15], [-5], [9], [0], [7], [-1], [-12], [7], [-2], [3], [15], [-9], [-5], [-18], [-8], [-5], [11], [12], [-17], [5], [-9], [-13], [12], [-13], [13], [-10], [11], [3], [-6], [13], [4], [24], [-11], [23], [11], [-20], [-17], [-16], [-21], [9], [-9], [7], [-17], [6], [13], [6], [-4], [-15], [-1], [3], [-29], [-10], [-15], [2], [3], [-21], [-23], [11], [-24], [3], [-29], [-17], [27], [27], [-20], [34], [-3], [-2], [-21], [31], [-26], [-17], [-30], [16], [3], [-31], [-7], [24], [35], [32], [-9], [-33], [7], [-41], [8], [-5], [41], [-33], [13], [-33], [20], [-45], [17], [22], [-13], [43], [30], [9], [16], [-17], [44], [-15], [35], [-44], [23], [-26], [39], [-27], [-5], [-50], [-29], [39], [-32], [19], [5], [16], [-53], [10], [3], [22], [19], [17], [18], [39], [-12], [-9], [-47], [36], [11], [24], [34], [39], [-1], [-17], [23], [-14], [20], [3], [1], [-16], [11], [7], [-6], [-33], [-37], [22], [-48], [35], [3], [21], [-15], [-41]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 31525197425148688, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '784.2.a.h', 'level': 784, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [7, -1]], 3, 3], [[[2, 1], [7, -1]], 6, 5], [[[2, 1], [7, 1]], 4, 3], [[[2, -1], [7, 1]], 5, 3]], 'ALdims': [4, 6, 5, 3], 'Nk2': 3136, 'analytic_conductor': 6.260271518468382, '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': [784, 1, [687, 197, 689], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 89, 'dim': 18, 'eis_dim': 47, 'eis_new_dim': 5, 'hecke_cutter_primes': [3, 5, 11], 'hecke_orbit_code': 33555216, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2], 'label': '784.2.a', 'level': 784, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 136, 'mf_new_dim': 23, 'num_forms': 14, 'plus_dim': 7, 'prim_orbit_index': 1, 'relative_dim': 18, 'sturm_bound': 224, 'trace_bound': 11, 'trace_display': [0, 0, 2, 0], 'traces': [18, 0, 0, 0, 2, 0, 0, 0, 16, 0, -6, 0, 2, 0, -2, 0, 2, 0, 8, 0, 0, 0, 6, 0, 4, 0, 0, 0, -4, 0, 8, 0, 0, 0, 0, 0, 10, 0, 20, 0, -6, 0, 16, 0, 10, 0, -24, 0, 0, 0, 14, 0, 2, 0, -8, 0, -6, 0, 0, 0, -6, 0, 0, 0, -12, 0, -30, 0, -16, 0, 8, 0, 2, 0, 32, 0, 0, 0, 6, 0, 2, 0, 8, 0, -10, 0, 16, 0, 2, 0, 0, 0, -42, 0, 66, 0, 18, 0, 20, 0, -14, 0, -32, 0, 0, 0, -2, 0, -6, 0, -16, 0, -12, 0, -32, 0, 10, 0, 0, 0, 16, 0, -36, 0, 36, 0, -8, 0, 0, 0, 40, 0, 0, 0, 26, 0, -14, 0, 24, 0, -22, 0, -8, 0, -4, 0, 0, 0, 18, 0, -62, 0, -22, 0, -2, 0, -14, 0, -32, 0, 0, 0, -106, 0, -38, 0, 16, 0, -10, 0, -24, 0, -14, 0, 0, 0, -58, 0, -22, 0, -38, 0, -106, 0, -20, 0, 24, 0, 0, 0, -2, 0, 18, 0, 0, 0, 68, 0, 16, 0, 16, 0, 0, 0, 20, 0, 76, 0, 32, 0, -64, 0, 0, 0, -40, 0, 0, 0, -10, 0, 76, 0, -16, 0, -36, 0, 24, 0, 10, 0, 0, 0, 18, 0, 18, 0, 32, 0, 32, 0, 2, 0, 0, 0, 0, 0, -100, 0, -24, 0, -8, 0, 10, 0, 16, 0, -38, 0, 0, 0, 24, 0, 26, 0, -52, 0, 38, 0, 50, 0, 16, 0, 0, 0, 80, 0, 26, 0, -24, 0, 4, 0, -16, 0, -16, 0, 0, 0, -68, 0, -84, 0, -30, 0, -18, 0, 0, 0, 0, 0, 0, 0, 38, 0, -2, 0, -8, 0, -14, 0, -40, 0, 10, 0, 0, 0, -14, 0, -12, 0, 48, 0, -30, 0, -18, 0, 16, 0, 0, 0, 22, 0, -52, 0, 40, 0, -28, 0, 0, 0, 32, 0, 0, 0, 54, 0, 82, 0, 50, 0, 76, 0, 26, 0, -16, 0, 0, 0, 94, 0, -48, 0, 0, 0, -42, 0, 32, 0, 2, 0, 0, 0, 58, 0, -14, 0, -36, 0, 104, 0, -48, 0, 24, 0, 0, 0, 56, 0, -38, 0, -16, 0, 82, 0, 64, 0, 2, 0, 0, 0, 50, 0, -60, 0, -62, 0, 142, 0, -6, 0, -32, 0, 0, 0, 8, 0, 72, 0, 16, 0, 52, 0, 8, 0, 46, 0, 0, 0, -116, 0, -14, 0, 50, 0, 108, 0, 16, 0, 56, 0, 0, 0, 94, 0, -2, 0, 32, 0, -28, 0, -8, 0, -16, 0, 0, 0, 42, 0, 106, 0, 18, 0, -24, 0, 32, 0, -8, 0, 0, 0, -50, 0, 88, 0, -40, 0, 60, 0, -56, 0, 12, 0, 0, 0, 84, 0, 42, 0, -64, 0, -72, 0, 76, 0, 24, 0, 0, 0, -26, 0, -24, 0, 8, 0, 14, 0, -32, 0, -46, 0, 0, 0, 30, 0, 90, 0, -32, 0, 22, 0, -6, 0, -64, 0, 0, 0, 30, 0, -56, 0, 0, 0, -88, 0, 24, 0, -16, 0, 0, 0, -78, 0, -324, 0, 60, 0, -56, 0, -30, 0, 32, 0, 0, 0, -238, 0, 82, 0, -40, 0, 106, 0, 96, 0, 20, 0, 0, 0, 42, 0, 58, 0, 64, 0, -176, 0, -6, 0, -64, 0, 0, 0, 54, 0, -72, 0, -56, 0, -70, 0, 0, 0, -70, 0, 0, 0, 54, 0, 58, 0, -62, 0, -268, 0, -54, 0, 32, 0, 0, 0, 12, 0, 10, 0, 16, 0, 100, 0, 0, 0, 32, 0, 0, 0, -130, 0, 142, 0, -36, 0, -72, 0, -48, 0, -48, 0, 0, 0, -216, 0, 58, 0, 16, 0, -40, 0, -80, 0, 0, 0, 0, 0, -6, 0, -22, 0, 42, 0, -80, 0, 18, 0, 48, 0, 0, 0, 124, 0, 16, 0, 24, 0, -28, 0, -64, 0, 42, 0, 0, 0, 94, 0, -230, 0, 20, 0, -18, 0, 12, 0, -40, 0, 0, 0, -72, 0, -36, 0, 64, 0, 68, 0, 0, 0, -32, 0, 0, 0, 10, 0, -20, 0, -32, 0, 92, 0, 80, 0, 56, 0, 0, 0, -90, 0, -40, 0, 80, 0, -86, 0, 56, 0, -38, 0, 0, 0, -98, 0, 250, 0, -16, 0, 152, 0, -20, 0, -24, 0, 0, 0, 190, 0, 64, 0, -64, 0, -52, 0, 0, 0, 90, 0, 0, 0, -188, 0, -12, 0, 34, 0, 222, 0, -78, 0, 56, 0, 0, 0, 4, 0, -32, 0, -32, 0, -82, 0, -40, 0, 0, 0, 0, 0, -20, 0, -166, 0, 66, 0, 178, 0, -22, 0, -40, 0, 0, 0, -34, 0, -94, 0, 48, 0, -142, 0, -88, 0, 32, 0, 0, 0, 58, 0, -102, 0, 0, 0, 32, 0, -102, 0, 64, 0, 0, 0, 200, 0, -30, 0, 0, 0, -74, 0, 0, 0, -34, 0, 0, 0, -50, 0, 114, 0, -38, 0, 60, 0, -6, 0, -40, 0, 0, 0, -266, 0, -106, 0, -64, 0, 42, 0, 8, 0, -6, 0, 0, 0, -14, 0, 140, 0, 26, 0, 16, 0, 48, 0, -16, 0, 0, 0, 58, 0, -58, 0, 8, 0, -76, 0, 80, 0, -20, 0, 0, 0, -12, 0, 2, 0, -6, 0, 104, 0, 32, 0, -32, 0, 0, 0, 190, 0, 136, 0, -16, 0, 144, 0, 32, 0, -14, 0, 0, 0, -18, 0, -238, 0, -30, 0, -186, 0, 90, 0, -16, 0, 0, 0, -154, 0, 4, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, -88, 0, 76, 0, -44, 0, -296, 0, 16, 0, 16, 0, 0, 0, 144, 0, 82, 0, 24, 0, 108, 0, -48, 0, -84, 0, 0, 0, 120, 0, 154, 0, 0, 0, -306, 0, -46, 0, 32, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 497829
{'conductor': 28, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '56.2.i.b', 'target_level': 56, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 497830
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '112.2.i.a', 'target_level': 112, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 497831
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '392.2.a.c', 'target_level': 392, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 497832
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '392.2.a.e', 'target_level': 392, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 497833
{'conductor': 28, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '392.2.i.b', 'target_level': 392, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 497834
{'conductor': 56, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '448.2.i.b', 'target_level': 448, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 497835
{'conductor': 56, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '448.2.i.d', 'target_level': 448, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 497836
{'conductor': 84, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '504.2.s.c', 'target_level': 504, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 497837
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '784.2.a.c', 'target_level': 784, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 497838
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '784.2.a.h', 'target_level': 784, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 497839
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '784.2.i.h', 'target_level': 784, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 497840
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1008.2.s.g', 'target_level': 1008, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 497841
{'conductor': 140, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1400.2.q.d', 'target_level': 1400, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '140.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 497842
{'conductor': 140, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 34, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1400.2.bh.a', 'target_level': 1400, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '140.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 497843
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3136.2.a.i', 'target_level': 3136, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 497844
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3136.2.a.j', 'target_level': 3136, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 497845
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '3136.2.a.t', 'target_level': 3136, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 497846
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '3136.2.a.u', 'target_level': 3136, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 497847
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3528.2.a.j', 'target_level': 3528, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 497848
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '3528.2.a.p', 'target_level': 3528, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 497849
{'conductor': 84, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '3528.2.s.q', 'target_level': 3528, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 497850
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '7056.2.a.u', 'target_level': 7056, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 497851
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '7056.2.a.bj', 'target_level': 7056, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 497852
{'conductor': 140, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '9800.2.a.s', 'target_level': 9800, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '140.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 497853
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.a.h', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '9800.2.a.be', 'target_level': 9800, 'twist_class_label': '56.2.i.b', 'twist_class_level': 56, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1324950
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 2}
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id: 1324951
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 3}
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id: 1324952
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 5}
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id: 1324953
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 7}
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id: 1324954
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 11}
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id: 1324955
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 13}
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id: 1324956
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 17}
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id: 1324957
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 19}
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id: 1324958
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 23}
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id: 1324959
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 29}
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id: 1324960
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 31}
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id: 1324961
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 37}
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id: 1324962
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 41}
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id: 1324963
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 43}
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id: 1324964
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 47}
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id: 1324965
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 53}
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id: 1324966
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 59}
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id: 1324967
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 61}
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id: 1324968
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 67}
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id: 1324969
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 71}
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id: 1324970
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 73}
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id: 1324971
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 79}
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id: 1324972
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 83}
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id: 1324973
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 89}
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id: 1324974
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 31525197425148688, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '784.2.a.h', 'level': 784, 'portrait': 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uHYw9cCYQ3z04YNUwnL3YDuUDCKPVYGgs1ThqWO4eQFRc3z2TwL2+dDNs2N2Dg3ZvPcmO2bLDs3K67a4VFXTY6dbPO1Z30ePxjz9ImIRPX41ts6vPXllrqa4+CJaY6d1Zy5mHA+BffhRcvN1yzwM+9aYceGKc5enObCSo2ljsdyR7LSS+gOEgZjwZETSxw7s3rV44cXXnng5MXdh09f/NzLvuVt4f2f/+g3GhJ/qdvfaAZfXe0SxhFKyl966MmjL/+pX/+E/LZbDr38n//ds3pxdRMrvSYrnRpLHZ+ljmapI1juJCx3IpZWE86vwpElwfyGVf7d9y3xkisanLowy9mLTc4uai4sWc4vxpxeSLjYi5meHfGK6/q89ErwZZ1ABVxYrnFuUXN+WTAYQxwbar6hWUuYmYoxwInzMd0+7Nrk0ayPsVaA8OkPDTs3j1la1WCdFFntwzgGi2W5E7Jto0dvqBDKIsyYds1j55YRqwPBibOaxGjm2pJWTRB4EMeCwVhyfllybslyYSUmCEbgxbzs6j4vv0Yw366ztNLm1IWAs4twYTHmwnLMmWU4smS56epFfuH7Vtg83ebk+VnOL9VZWPFZ7EiWVxNWuhHL3YSVnmG5LzjbEywuD/gv/2IUv/3VrQeCuR8yQXvvA2B/ChT1RvsbDZUXvP2NZfBf/+0/5Y7bbuT//r//zS9+/NNf/vEPfOSLlz13YnX3gTMDedu1HS7dmpCUdLW1EqwEJCAQwqKFxZdwdqnOw4cl1126zJU7RjRq4GmJ7yl8X9OsSxqeZND3OHC8xhce9zlxcUw3jjhwasymuWXe/IoVrrusx01Xdji+GLM4EDSCEUfPWjrdJtdeIlkdJew7rmg1NM+dgMu3WkZhwijx0TpipgX7TwUoneDJGO3BcCx5yZUDhgPJdZcldIcJJ8622LNZ0WyErI4tG6cHrPS7fOTL8OSxhKePjdi1dYnr93aZmQ1508t6fOerLJdubpFE0xw7M8WR0x6nzhtOX4w4fTHhyEXBydWIF12xwL/7vh6bpqc5dX6WC0sNFlZ9ljqSlU5Cpxex2k9Y7VtW+oLzA8VSN+amKxf5R9+2ID0hd58+dXpPr5/cMj27o95ozX7x6HMf4dd/80++0ZBZ9/Y3ksE/8Ecf49W3bFMf/uyhnz128sL/c/jIcbXciVgYaE73LVftPM+v/egCN1za4MLSDEudBsudGssdj+WuZqUHK52ElW7Mci9msQOnVgS6PuLWa5b5rleF7NnYZLXf5uJynYVln8WOYLnjJMJKz9AdGrpjy2AUM9eO2LnJAILAs5y+6CFkwK6Nij1bLVs3DriwMuapQy1efLmlUV/h2cOztJohYegxN2MYjuCqnSM++OVp9u6IGY8tG6YkUTKkVQt47viIutfkhitinj4acmHJZ9tcwJ4tsHNziFIRpxfB9yxCWHZtiplpSXrDgP7AozvwWO4qlldhqWNY7iQsdhLOd2BplLBzW5/vun2RW6/U1Lw25xbbLK7UWFzVLHcFKx3Dai9ipefAvdSH8z3FhdWYl+w9z6/86BKXbmmxuDrN0mqNMG4yO78zqTU2/+Lhizf9wpapg8ktr3jLNxo6a25/owB+6NBB6rVa/dzZ0zu/9uiz7zhw+Mx/2HfoNAbFOILOUHBxoDjTjXnxJRf41R9d4vpL6lxcmWFptcFKt8Zy12Olq1npQqdnWO3FrPRilruWCx3B2b4F0eett3V400sMl2ypEYYNVjo1Vvs+nZ5ipS/oDQSjsSWMLUkCSloCD+qBZbpt2Tgbob0RR86FPHM4wMRN3nBLiPZWeWzfFLu3wGcfjrnt2oCLnSE1rYiTiNkZiCMP7cUsLTV4xY1dPvtgiz1b4NFDYzwavP4lhlgMeeZIwrHTNbT02TSjmWkK6oHA9wVKQGwgjCyjEHoDy2rf0BsYVgeGpb5lmCTs2j7gTS/t8NaXh2BaLK1OcXG57vR2V7PSgdVeQqcfs5qCe3kA57qKhW7CTVdc4N0/epGrd9W5uDzDardBd+AzHCtGY4tf34EMtv70zPzeP9m5c/vJ0Wg03Lt37zcaSvntbwzAT504xMb5ef/gocM/cPDQ4fc8/MiT4sJiTw7HluHYMBhb+iNYHTmQn+tFvOSyi/zKDy1x42W1lFmarHQDVns+Kz3Nak/Q6Vk6/YTVXkynb1jpWy72BOc6hpnpAd9yU4+XXRmza5OiXffo9moEngQUYSwxRmAsDEaAMMy0Rhw6YzE25O5Hm4wHdS7b5nPrdQMis8q9j09zw+Ueh8736ay0eel1A774WMCmWcu+E5Z//JYu+44HbJqVfOFxxa1XKZYHXY6emuWGK0LufWZIPG7wsqt9Lt0xYhj3+fxjChLBkdOadkOjBQyGEmMFibFEMSAN2jd0+pZmK2LHljEvv2rAt7w4Zq5Z48LyFEurdVa67tisdAWdPnR6MZ1+TKef0BlYlgeS8z3BYi/mlr0L/OIPLXD9nhoLK1Os9ht0+wG9gcdgpBmMJL2hZBjWzO5Lr7V79lz6Y3suuez3l5YWw6uuvOIbDSngbwjA4ySScTh483NP3HnZ0op994MPPeYNRoLB2DIYxgxHxiVoxobeUDgmH0rOdmJedtVFfumHFnjxpT6r3SkWVlp0+jVWez6rfU2np+gMoNe3dAcx3X5Cf2joDCwLfcFCH6JkzPWXD9k8m9AfWN740jG7NxviRKKlJYzgnqdqnLxYY8tMzLNHamAaXLldceNeQ1Ab8NihAQuLTa7Z3aQ9vcKDT3vcfHmNpcEqKyttNm+2PLxP8fde3eeRfZrtGz0W+x1Wlme58aoBDz6bMFuf5prL+lzsdHj4+WnquslNey1X7ByB7PPUMcHG2YgLCxH3PuUxihRSQmIsu7eEfMtLQ3p9xdYZw42XQxg2WO40WO4ErPY9ugNFpy/p9qE7SOj2E3qDhO7AsDqwLA8lZ7qCznDMrVcs8As/uMJNl7uLo9Or0x04cPeGmsFI0R9KekOR/p6I666/KRpF+t9873d/2+FWq/5p3/PMNxpb3/BMprVLWLPyfSsXHv21lYUDs2fOdJluSqSUCGERgBQxQhoQAoHToFJapNQ8cnATP/W7mrfcusw7X73Mnm0h55faBH6deuDTCDyadU2vLmkNPaaamsEooT9M2DR2F05vFLC8UOP0KUsYG86cjwkCCwh8ZdFSMBgqBB7xQPOi3YJLt1p2bhswTnrc9Yhi/+EZXvfigBuvWuEDd1l80WD3tgFPP6jYNq3Y0B5QU3XCyONiD5o1zfZNgif3h9x4RZ1X3bDIH9w5xPdavPYWixcM+NLDIZ99qMnzx+pcsrXB7i0J8zMhezZEXLs7QSmDVhawNIKA+emAMPLoDXyePeTRH2kGQ0V/JOkPoT+y9Afuu/eGCf2hpTu0rA5hYaC4sGJpTHX4J29Y4O/eOub6S5qcW2zT6dfo5eBWObj7I8FgZBmFTiZ96d6HvaA+92vTG7Ys3377Lf/y1MLwD3bM1//PBXh/MGQ4FD94/uSXf+niybtmh/0RvlejXhMk1jq7DYUQgEiQAqRwnTRKWpRM8KXk6UPzPHGwyaGzF3nLy/u8/OoR0602y50GzW6N9tCnP9D00pM9HGkGY81obBmFhjCyRJElTtw9jH2sAakEnhbUfMF0SzDTgs0bDNs3Ddgw0+Fzj8F9T3hIM8XrXuzxoit73P98RDhqc+uLBJ3hkItLTV52hWHD9IC6DhjFioVuhDKCF12habTGPH6gxitvnOKl1/d4/IACO8WLr/b5h9+6zBefDPnCI032nayxc16xebbOTKvBVAvqAXjaoiQYC/uOCZJEEMWCMIZxhPuO44Th2DAaGwYjw2Bs6A+hO4aFvuRiD8ZmxGtuWObNL+/wPa81xHGb84tNuv0avaFPf+jRHyr6Q8VgJOiPBMOxZTAyDEcJ49AwDi1nF87xgY/cNStV8p/e+eZX6vFw8LtBvfF/HsBHwxWUTP7hsUMP/NLR/fdsJBmhpEfgWWLfYIzA1VEJhFAIIVCSFNyglEUri6cMdU+wOKjz4S9v50tPdLnt2lXe9ZpVrt3TZ266wdJqg94wYDD0UmC7dP4oFIwjSRQL4tgt9e5vuqBSa6j50KgbZlsR2zYOiOlz6EzER+6tcfRUk+mgzs1Xa152XZeHD3a4+2ttbrm8xs4tAz74ZYESAe1WxGp/jLGgBMy3B3R7Piau8+bbLvLhzza49EKNN90yIIyWuPeZOaKkxkuu3sibbu5y+Y4OX3p8wNOnGjx1zGf7rGS2LWgEAt9zF6EUIITFWDDGEsXpxRpZxpG7kEchDEPojQQrY8FyD4QeccPeVd71LavcdnXCXLvOSrdBp1enNwjoj1yhWrYSDMaS4QgG2YUzStLfbYkT8DzNeLDKpz5590Zf2F9647e8wl5cWPm9jfMzf/sBvrBqURoxs0/YC2c/9f1ROHz36rn9G3zZwUpNYgy+gcQIrMtHIgRIIZBCoqRGygSlRLo8GzxlCbSlrgUrI8VSZ4aP3tPkoWf73Hr9Ku967So3XNphLqkTxwGDUY3+0GM41oSRIoolcSJJjMBYJ4GksAS+oVGLCfwQ3xtzZmnMnY9KDp/2OXZ6BmUCLt3ic9UexYuv7KKCBZ450mLbdINrLoHN8yssd9tcu00SG8vnHgkYDyTTzZjXv2TEp++NOHm+xd7LPM6tjnjuqMeOTTNcv2eB+5/u8eBzgnHoc+WeWa7cEXDl9h5Hzi1z+Aw8sr/BoaNNGloQaEkzsNQ8kNIFVda6izVOIIwhTAT9saA7EnQjCE2MsSNuurzLu76ly23XJmyZDRiNpljq1Oj1A/ojn8FQ0x85STIcC4YjyXDs+kZH44RR6FaG4dixdxi7vwmKE2c6/P6Hv7zxif0X3t1qN+N//+uf/YDUx/l//vGP/u0FOHaMNcFtxzc+8Xtm8bdnPXNxQ8MP0FM+YWQII4UQ7iMJgQObdHrcgVqhlEArg1YJnhb42uB7lsCzNPyE6ZqgN/ZY6c7wsfvafPmpEZtmBrzj9g5X7hgxGva5Zo9lx2bFOPJIkiLN7/6ewdMJJy5Yjp0XrA4Nn7y/wZnFGWzoMVNTbJ3T7NqsuWQbXHNpFyMXee+nmywvT3HLlZprLu3wpacEIvbYOCNpNmIGkY9Mk1FK+3RGggvLgqttg9tf3OOBx+ts3eBzyzWz/INvXeT3P9vjkQNN+iOPpdUWe7bW2btlwEuu6PEdr+xxdnmZT94fsDQIOHHO48wZH08JF7sgMNaSGIiMJYkNM3MR1109YDyOuHLHmLfdPmbjlGK2FRBFNc4t1BgMfQZjt8oNc2BLB+6xYDTGsfU4YTQ2LokVOg0+Di2jCMaxYBxBmGjOnuzy0KGHNtxy/YbfeNUtm6NNfPVDP/6f/oj/8q/f9bcP4D/2ix9hfiYQn7jz9/c01XNXbGk9ze6NNYRsMxwZPO2hlU671V0QKYRzCaQElYJcK4lWAq0Fnk7wtcD3DDXPUo8sjdAyVUuYqQsGoaQXNjl2usmvfGgWTIyIY1583YA9m0PiGIw1WOuSOFIIpBJoz+fASZ99h2s0a5qWL9nQEMzPSTbOarbOK3ZtSdi7a5VELPHfPt7mxMlpbrnC48rdCcO4x9eeCZiue8xNWaZbIY26k0LGSDojxXLfstRJ6PTrvOKaVR7dN2D/ScV0u8ZLrp7mh968xG9+Ah4/3KQ/tKz2NBeW22ze0GDjzIhdcyP+1dsHtBsdnj4GB05JPM+ilEUIA1j3PwtxDLs3J9x6bUwSeURxgLUNRqHH+UWf4ditaKNQ5fJtGApGY8EodKw9Dl1Wdjw2jEPDKDLpe+k9glEkGEUwjAW9SLIawXAw5PDhJ6b37r78fbtvuC3+1e/QH/2573mPnd7xY397AP4z/+nD7N3aVvZn//Ct/+WPz773qWePccf1LX7uHwzYu6ODpxOGwwCtfJQySGVQ0ksDSYtSKtXbEk87zel7irEnGYeGIEwYR5Z6ZBhHhjC0tGMYR4ZxDGEsGEWScRIQJTX2H27y1H5IrMVB22ljT4KvXM1HK4BrtkC7DlNNyUxLMTet2TgLOzeP2TK/SmSX+W8fn+LI0SluvERxyXbJpdtX+MpzMReWpnjxHslM21DzhwQywCpBnEiEtcRJyEq/xoUljxuvrPOiK3rc/3iNTTOCRq3FjVcY/slbl/iNTxieO9NitW9Y7SkWVjQbppvMtOvMtKdoNyLmmxG7bgwJvBhPxyiVIIULJizuoooixcUFTRQrolgRRopxlD6GknEkGYeSUSgZh46FR6FgHFoXQEaGcZgQhqmmj9z7o7AE7EjQjwTdWNAZW+LxiBt2L/Gz/2CJm6+4v+HVog9cPHK5Ce3lHz976P3J1sv/wTc/wH/9v/8x0y1fHTt78W3nT5/9g6eeOV3rRJv5+FcbxGaBX/ihDldtN3gqpj9KUCpBSx8tLSpldE9ZPK3wtMULJb4n3EnwBGNfEUYO6FFkCePEuSJx6Z5AnFiSxJCkGt8YcnALAUqCluB5EGhBLRA0AkmzoZhqSGamBBtnY3ZtHtBqrvLxB0LufWaW1cU21+1U7NricfmOEYlY5XOPNGh6mvkZRasx4pkj8PxRzbU7LIOx4vrLI6671HL+XMLCis9w1OANN/f46tNDDp1RNOuSwG9z7SWGX/j+Je55bsin79nAUteya2PCSkcz3VZMNT1aDY9m3VILDIFvCHSCVk5qybS10lpcwsoIYiOJE0EcC6JYEsaCKJKMI+e8hJEgjCxhCOMoSaVjQRzjqHx34B5GMIgca3djGIwTiAbcuHOFn/+Hi7z5Vuj2p1laPVkbDKf+MFHNvx/b+T997rEPJ9fc9M5vboA3AmSv13vnmTOnf+vIkeO1+aYHY8WqmOJTD0rCseZtd3R426u7zLZjeoMaSiYonaC1h6cTPK3xIk2gFSMvZRtPEvqCMBLu5ESKKIYwks5BiAvbL04MSeLcBWc/AqlbIoRIJZCTPb4WBL6kFkiadUG7YZluGTbNjpmf6RHbVT76Vcnvf3aOjbUa1+0U7NzisXurYdeWFT7+Ncvyco0rNytm2tBqRFw4Lrm4EuDvgXEkmJ+STE/DoWOWla7h/GKNy3fXePWLe9x5X425FgS+j5LTXHup4IffdBFPXuRT98/w/Jkam7oRG6djppqKVl3RqEvqgSbwIfBAa+cwOVu1BHLchZ0YSBJBnJACHaLEEsYQRYkjhcgQZo+RIYxgHGeuTGpBxsKxdizoRpJeZAhHEVNBl+96/SJvv73Pa24QrHRb9IcNxlGdzvKpWqKa79O1uhbS+2Mcz3xzAvzAU58kjs33f+RTx371+PET7VZdYUeWGWMwVtGTLT73qOJrz9U4t7LIP/6OPjPtiFrgMo6eivG0h6c9/DAh9DR+pBhHktBzqXTHOMIxUcpKcQxRAknionpjXMBljM16OFNwO4A7bS/wtANILYBGzdCqx0y3Yuanh2yYWeWB/SF/eHedA8em2T3lcelm2L7ZZ/sm2LuzyyDu8vC+NnXlMT+jmG7BdGvMzFSM72uEcBfXcOyz3I1YHVg6/ZiLKz47N7d46ZUXufuRAQfOtGkEEZ7yEWKKS7cpvve1i9y09yJ/eHeLh5+dZqmv2diOmW7ENGqSek0ReILAk3iei1WUIrUPHcotrofVGHKgx4lJV7fUWowNceLAHUcQxra4R86VGcWOVAaxoBcJegkMhzEmHjJX7/Fj37nE//3dA+qBz2qnyXBUYzT2GYWaMApYWjzdDvH+26rd6//OB+78/R/5/m/95gP4qXNdhFQ/+MiDH/6lI8dPzhkrkQI8BQ3PYq1BCkmv3aAzUvzqn3jsO7LCm1/Z5/YbemzaMKbbqzMaB/heTOB7jENNEDl7L/QdwKNIEsZu2Y3i1NNOSK0/UuaWGEsBbpekTJkbtHIJE9+z1HxDvRbTqsXMtMds2dDlQmfAez7p8blHZ1leaXLZvGDnRsG2jT7bNwr2bB2h/VU+fK/m6KkmV2ySzLQkU80EKcecWbAE2n1/awVhpNm1scsjJHQHipWu5cJynSu21/iO2zv86Zd8jl8I8HSEEB7GNoliyYv3rLDru7t87vEBH/zcLI8db7JtRrChmdCsJdR8QeAJfM/FKlqlFqsUeU2GxV1kxuKclsQBPgN5nDhJ58AOYeJqXcIseRQLhjH0Ykk/hmFoiAch2zd0edWNK3z7Kwe84SaDFg1WVuqMQp9RGDAKPcJIkViB1rCwdHyuuXnu3X/vbd+hfvj7ln5XiP89Xfz/WwC+sLhKEKh/8KGP3/dLH79z/8Zex6W7hQBfuQNsrWNQLQRdUaMbenz4KwH3PN3jxiu7fPdrXBXc3HTAcBQwHPsEnkcYe4SRzgOlOFZEiSSOJVEiiGNJkggSIwqtbQS5Kkn/rhQuWaTSZJHvGQI/oR7EtOpjNkz3GUZDvvSM5SNfmeLhZ6eZ8T2u3WbZMivZNOezdV6yfVPIJdtWePr4kE9+dZ4ppZmfErSbgnYjojNI+OzXarR8ixAOWMOx5s23jvnMQ64mptM3XFzRbN/Y4i0v7/Pw/h77Dvk0gxglhQO5aTAKndb/3ld3uGLLRT58T5cHn5/m5EqdzW3BVM3S8A01bfA90CpNjsmMySErPzKpVDOmWOHiFOiOICBKBFGSAjsRjGLH2v0EF/OEIc36gO963TLvfG2XF1+RsGnGYzBq0ukFhJHPOPQYh+6cxbECKwh8w56tEa32Exsvnpj/pbltrzXhaPX9fm36bzbAl5ZX6ff6eFp8352fu+8/f/LTX5hbWOjQCBx7Cen+ok0FsBK4pgQh6CnNwGtyuhtw9qEGDz3T50+v6/G2Vw95/a0jZqd9wnHAOPYII48o1kQp0ONEESdpwiYpAG5sytymqCkTwqZBpavj0NrgewmBH1EPQlr1IQlDvvi45ENfnubZY1OIKGD3jGXLtGXDtGJ+1mfzBsnW+Yidm7ucWujx259uEo/rbN8umG5p2k1oNyKEF9IdNpluWYRw2dkolswGitjE9CKf3iBhpas4s1Dn6kta/Mi3rfLuPw44sdBEqyi9MDRxXGMUSjbPBbz4si7XXdLnuRNn+MhX6tz92DRnO3WagaLlQ9Oz+NriKVzALrPcQnEzgDXuokuMILEQJ8L554kgTFySaJgIhgkMY0scx5hozFxtyBtes8o7XtPjtmsjpuoeYdRkpRMwjnzCyIE6uzv3RhIbgbUCJTTRYMCBZ7+ycesg+M9bdt4aLy+e/R9BrUmj+dc3P/GvFeCDwZBmq/nt993/yG9+9q4vtuNxh/mpomnIWItMSAuoSG1A5174iaGmBAPlM4g1F8c1PvVQk3ufHfCSL/T5p9/Z46qdXTZOK9oNTRj5hLFHHBcgTzKAG4mxMl0pRJ5+d8xt0jS/QeuYwI/xVEh3GLHQjfj1j9c4dnGGx/dNY43PXF2wcYNlw5Rgrq2Ym/bYNCfZPBezbX7A3PQKn3vC8Njz01y3XTDTkrQaknbD0KyHCG9MEGi0cn/fWkgSyXCsGY4iYiPoDQ29vmW563F+qc3L9vZ56dWrfPgLNerLCi2j9Php4sQnjFyP54bpGjdd2uemy/o88qqznFiQ/OHd01xcbXB6KcBXkqYn8DMZJl3gmRN5JlVwTB5bQWwgMoJxAqMYQmMhiSGOkGrM1pkh1+1y5+PmqxLadU0cO8YeRz5RrFMCUoRhYUtGsSRKyccYQYjEoonjEReX75kLo+A3d19+40o0Hn7yrxOTf20AP3T4MNu3bVbve/+HLnvu+YPtQb/DdFOTZAFealUlEmTqb2sJWgrncceWIBE0lGCoBQMdMEw8lsI6dz82xQPPD2kGY/7+Gztsn4vZvXXIy67poYVrERPCyRWXlXS10q5YKwU3FiEtSjjP3BKDjHnumOTR/Zo7H27x3MkWYdygpRXzdcts0zLTsM4Hb2tmpzRz04LNszFb54dsmV/h3mfHvPfOjWyZ1sy3od1UtJuCViOmHox54KBiFGq8pgOVtYIwltS04oYrhjz0zLQrfBomrHY9FlcDLizO8CNvusDpxSUeenIeTwIiwgBxCqBxKOkPNTOtGtPtJi+9YsCrrhvw3XcssP+U4TMP13h4f52DR5vEQjMeKwaRQgmJEGIi8ExzAtYQG4s1Bk8kTPkhNSJeemOfPVtGbN8Q8a7Xj6n7kmbdIwwbdHqOreNYpYSjCq89VkSRzFfXOI2V8hXDuOKwcdjj2ae/2l5cPH/Zba9+uzp69HByySWX/c0B+ENPPMdq1PQff+LRH5hq2l8dj1ZoN700yHOBi0nrI1x3jEBLiJVFJRYVgycFvrEEsaWWCBo6ZZHEY5h4DJIavV7Cf/7wDDaO2DQ/4uqdI+amYt726iE7N4ZEkUj1toQSc5PqTykNQgo+dk+dp480EVpz4myDMxca1OqKqUAw3bS0a4Z2DVp1wVRD0W4pZlqauWnYMB2zaW7Eto1dErvKx77aZthvcvl2S7uhaDUkrbqhVYvxvJDPPVRjPJB4G123aCZRmnXFG14y5L4nDP2xpD9M6A40qz3N+aUGV+1p8bbbujz+XIMTyy2UNECU6mWPKHFu0iiU9EeaTt+nVW/QrI+5avuIW/aOOHWxw/Fzq2gv4amjmj/9SgOhXOEak/MHrQEMWEsUJuzaFPOOVw/Z0E7Yu8uyaQ6S2GMctohjj5WuRxwpoqRYQaMofYxVGhNlhWwpwI3z3x24M6vSmQMnT6+AF/3qk098bXDDjZt+//zpx8PN21/8NwPghw6fQOkLVww6Z95z6vBjshFotHR+apJYYmMxiSU2gkRatHLBjEoEWjqdGCUWL4FYCYLEUjOWOBGExhImgrGRjBNJaDwiAwv9Nl952mBJ+POH3cgGrEnvWRYvtchEVpEokUoRRxppNJ6WtALYM29peoZGYGgE0AgEzbqkVXdyaKolmWnD3FTM/MyYrfM9Elb49T+rcf8zG7l0DmYaKXs3JK16TKMe0mwMqdcbBEqiZKrBcXIgijxGQ8FwnNAbK/ojQ29oXMtc0+f0hSlecfWYf/L2C/zan2pOrgYIYbA2wiSWKPYII8lo7MpYW0NNs+bTqNdoBA1qQUSrHvLiy0N8L+Lmy2Pe9ZoBWsVpEsgghK2K8lTSGSMRQhJ4CvAZjTVLK9rV7SRZzJPeY1nEQLHMwRwlWUIpfUzvSSIcDhLS9yCKXXvgffc/LKen4vecPtL5am8wfvavA5v/ywD/wuf+nE3z9fqjTx9561PPHBQNT+J7rgpQKUMcW3Ric7ZOlCBJLEqBTjIvFvczCbmkiRNBbGwR2RunD91dEBpJbCWJ0UQmIEltr/Itz1Kmbo2Wzqas1S01bamphMCDQEPNt9QDQd2XNOqSRk07gDcF0y3DbDtmbnrMxtk+Wzcu8d47DR+8exM7phUbWoZ2U9FqKJoNaNQTWvWIc0uGI+cCar6LNyCr9BOMQs2ezYbNG0Z0Rz7DkU1ZXLLa07TqNVqNad71moscPXee931yG1pqLIbEJMTGEsWacagYhq4oalCTNEaaeuBRDxI6PRdj+F7iEmZegpauUUJKl84X6d2VrghApCAXdExaZWlcXJMkEmMksSniHQfSLMAXJEnqZiVFxjQxZXCngWwZ4JEDeb2u2f/8PrG0HL+1PnXJkY997OPD7/zOt35jAT47rfzV1Qs/qZKFn9zQimViFMaAkBIZC5R0mUQHbsfoiQJtRJ6I0cr51UmWfDDpzxlKd1uk2W1J11uRB0plzQ2UGiRAS+M0v3IrhqcEnrbON9aCWiCp+ZJ6oKjXFK26pNWwTDUTplsxs+0xG2YG7Ny0xMMHx3z4nq3M1AI2tQzthnDgrkuaNUOzFtNqjHn4ADy1v8Fl8zbVvUXafDhW3LzXcvnOIY88O81gbBmOEvpDnYLco1GrU69N812vXOapgxd5aN9msApjElcOG1viyOb1JMOxpjGy1GuKmm8IfI/ATwi0QesET7sSY6Vcw4hMC9sQrjg5o4UiOHclxCZzpDLdbEpWbArsOAexzIGcvABrJwnpv5Mm5VI/3gqOnArl+dVzP7tnT81vNpu/CITfMIAPhwMZhsOf/+oX//hfDrpn/XbDI4yzDy1QUjgpEgsSZVPgmjy5kCjH7g68ItfojjWy7COOnVOQmzQTlyUrrLWUMu+VFTdLVWcJHSXTjKWiVLTlsn+Br6gFinogaNQFrbql3UiYasZMt8bMTQ3ZOr/CQweG/PwfbOLk6Wku2WCYbkC7rmjWFc0aNGsJ9VqE743ojCxKKjxlkbL4ZI7RJFHs065HDGLDIK2zHowSegNJp65o9AJqQYvdmyN+4Qc6/NwHJF/btwmLwlhDkhjiJCaMXanxKFQMA0l9rKj5ksC3BL4i0AbPc36/VtYBXDmAq1SmZO2B+S1N7duURGxay5KkgE9M8ejOmcx1dQ7wNIjMzmmcFEQW5/VBRTY1jl0G9fzCad/zG//mx370+7zhcPDT9Xrjr5zO/ysDfDTsYm30i4ee/+o/X146WfN9CcIiJURSIOMCVIl0ciOTKCYHdZZJK0BeBrbJPVqwxl3hSZokKt+ZAHgqu9PA0kkUJYWTRYo0LS/wtCTw3QCgWuBGMtQDS7NmaDUS2o2IqVbIbHvI1vlVHto/4Od+fwMHTs6ya9Y5LK26pNmQjr3rlkYtoVGLiJKQP/pCC6kUnrQoUdiExmZLuMf3vm6Fzz8W0gsD12Q9SugPFb2+ohNoan5A4LXZuyPmP/zDJX7m9wUPPrsJYyWJcWn1KHaFZuPQMK65ctcgENQ8QeC7zKavbZ6x1coglU07pNw5ywFepDyBlERwuQTntqSBvCmcEGPBJNXgsVh5RbE6lx6zVdqVBhQ1Q2FkAcnBQ8drn7nrnn/x5r/zWrGy2v2pmem/2vSsvzLAe6sHsda+tHPxoXqghwh02hBcYs3YgSpOQCXC6e8yqBOLUeRgNyWGds/TR5OyiLUpa5OVO2MnPlcG8KwGQ+X15CKvI3cAl3iedPUbvqAWuJknjSChWXfgbjdDpttD5qc7PLx/wM+/f5bnTmxg+4xgrlmSJjVNs+bqV+q1mHoQ4nljzizN4CmBkia15YogM0kkcazYMmOJ44huVEs7ZVyPY28kqQ8UNd/D92p4eoort8f8h3+wwL/9PXjo+Y0kRjqAJ5YoTlImN4wDQy2UjHyVSzDPA087iebqVJxNKzNvPH1cB+NOrpAmhRB5csikyaEsW5wkpffL8jIHdlETlGQ1MKnUymphwpTFR/0xd37h0fq2nbtfKv8Xdpz4KwG8e/bPaDT7jQPPfNr35CqNmkaM01VECATCaXDpnBIlIcl1tmN0YyyJJgd7FdiZDLE50G0mR7LnL/DZpCiKqFyzhMjBraRMGyUyeQI1DwLfUK9Z6oHTz416RLsRMt0csmGmw2OHRvzM787wzIl5tk4r5puGqbqgVZM0aopGXVCvuYvDpfpDHton6I98aor0InMaPGtCSIwgijXNmuJl1/R4+Lk2g8jJlOE4YTBU9AJF4Ct8z0/18zRX7TD88g9d5Cd+Bx7ct5HISCJj0mbpogdz7EsC3zj29oo6eq2yO6lMKQhJplne9UCeJYVsBvAU8EnuvBQFXOWV16TGQbFKVwkuzq1k4wAe2bzmZenMKr/2O5/y3/G2b2+8+3c+N/g3P/KG//0AP33+IMv+7unhwv/4bSV6r9QywtOKJDHOSrXSZSrTZTlO9W+SJnkSA4nOljQwSqzP2iVAmxzYRVMw1lZ1t3AFRUKm4E6LjFQOcFBpxaCnwfdwnUB+WmAVJNRTedGqj5lqDZlpdXny8Jif+d0Znjq+kc3TmvmGYaoOzZqgWVc06opGzt4JtSCm1Rhx71M+q50aMzNFmjwDjEm1aZQoNs4pXvOiPvc+alwXTWhKIJfUPEnN03jaR+s6Uhqu2mH5pR+6yE/8juXBAxuJjCZKKwBd2atj8iCSeXWhryVap0VYUqB0dmzIP192EWZSRWRVaRQJocm7KT0aU3rMV97Sam3LAM8YvVzWbFPb0BV8DcOEZHX0yn2HD/7ef/zxb/3Rt/+dg6uX7vyfGyj0Pw3ww0cvIOTqT1w4uf+dO9unUWregVlZtLZYDAKZeq0ClTiQu6Cy0GVGlXV2CvY0OZOxdyWQnGTuFOlZRi7X3jKroCt0d1YxqBWuPkNbPM81Ftd8Q81PqNdiGrWIZm1MqzFidqrD4wfH/OTvbODJo5vYOO2xsZEw1bApuFP2rknqgWP/WhDTCEJiM6YXBggl8TIGzzV4lslLC8Qij6Y/cuUCYY2ZDOSjhIHvGDzwpauJ10He0nftbsu7f/QC//q3DA/u30RkNONEEKY6dhwJapEh8Cy+53pXdRp3aOVKhF0boDtOTqaI0grojmp+YZZjnQlw5yRUIqYyuDOwF0xeFHhlgM/BncoZd64lCyvnEfGz7zx29JIj43H4b/+3MvjiwmnmNmzd9Z7f+sB1Dz0V8rqbZ7hkiwLrljc3hAaEMIjEsWgi3cF0gWWqzWwJ3GmQYm3pi9kC7JP1JLa8ZmasXQ4qs+U2rXFRaTClddoZlBYhZdWDNS9JdXNEvTZmpj1gqtnjoX0xP/XeDTxxdBPzU5r5esJUzdJKwV2vOTsxA3c9SKj5Me1myL7jlnseb+JLiadMGsQVHkW2fEeJIjaa218ccdklfY6crDPfoOhzHCcMRikLa4XWRRufEJZrdsEv//Ai//Z3DF99bp5RVHfJsNjSSGu4Aw8Hcp2tXiaVKBKpknyFU1KUAC5KIGeNXilAbqsAt4WszN5bL55K0tc5kxub24ZJmvUGCLTlip1w7fwFnn/62ete+brv33Xi5OkTu3Zu/+sH+PLieWr19u5D+x/5r5umV7/9lssVDW+GwSgq3Iq8qskBLZMkxqQJngl3pPxY2FHpMj7pkqxxS1LmngS3sEiVOThpzYtKWVtbfG3wPEPgGQI/pubH1IKQRm3M7NSAld6A+56FX/7QZp4+vIENKbin65ZWXdCsidwrd86LceztO4DXgzFhkjAa1qgpd5FJISqVfFkixQWa2ml5PWYcWoaRKAHc4PsJvqfxPIlWKu9VzbKQ1+8R/PKPrvCf/zjmwf1znO20GTUl04mlFVtq6cSBwLOp9585KTZn70yqZADPP2/6ocs4zxVielKKlbVUflsGe+m97DxnIM7Z3JaC0XRlkAKaAYTDOnc/ILjs0qVvb8x+LXnJTS/6F6dPnz2+ffvWv16AL148iefXbzl3+uBbB53DbJrTeNpNnxIiTRgo6w5SIjCy7JVmEXepPttkSRpbfW6req/K2lVVmJ0EN+4hY2+byhNbGg7kymI9bdIxE0kO7sBPwT3bZ2FlyC/9UYNPfm2exf4M81OS+VoK7prT3Y00sKwHkkZgUwZ32rsWhEDIl5/0WYl85gIq9diI6gqVJK75oR1oXn3jgIcOhPSigKm8Y93gj12tuq8dwLWyKOkhpEvQYOHKHZJf+6ddPvPQkF98/yZOL84wnNZM+4JWbGjEEERu9LKv3EAjLws0pciD4OyxHKiXL0wh8l6RgsXzc1UCe8ntMiWpWTB5WasXjJ6/bwvJGSWw2rc88sR+pmfn3tpuN/9oMBge/2tl8NF4QODXLz984MF/tnThWaaa4HtJmjAwefQt0yjbSAdkZYpMWGKyFHAK5hzUmQSxFWlSYe2yLEm/eMYsWbo5cwFUBnBl0dIBWysHbk8n+F6C78XU/IjAj2jVh2g94N6nEn7vs23uvH8joWmzsS3YUHOyxFmAmU+u0rtImbvM3hFaj3ng+WkGoWZLI/s8kwyeWWmSKFbUPMVLrxoSGwfwYSRc13rWuT42LjjUImVxdyGLNLluEWyYFrzzjj6t4Czv/+yQ+56f43xUZ1CTtGNLU1sHcp3GIcqmcYlNQZ4dQ1HUjkuQFCxe3lGwfEpyNp9YectxlKvLp8rodu1qnl0wQoBNIMQxP0i+9vCzXHXlFf/sda95xRP9weBQs/EXj4T7CwHeXTlB5+yn8IPprYwOv6rpX0TUfIRwWTAhqxkwawVWZtpaVMGcvped4IrWptDaBbBL1kPZvhJ2QprY3LWRMhvtZtKa7xTcytViBF6E70fUvJBGY4TvD/jQ3Zpf+R8bObIwixfU2NwSzAYJ7cDSDKCZdtjXA5ftrKUJIVe/kqQrgZMni92EfujjK4UvbR5gUvoq2YWdpDUbYexR90Zsnh6yOmgxjEQ6bs3FCp6XpDafSu1Olc6NKQeurvLx22/rc/PVC/zyH4744OfmWY6bDAKPpidpa1eDE2jwFXkzhM6SPunKJ3OpUiSAyqRSFSvrsTnrgJ2SNp+4m/LPlptTXBrfXXCSQyc7fO6+/a86vZRsXVzqHDpw+CR7L9v5vwZwaxNa86/bPVh9+r1h9ylm2jGxIZ8EVba/smo0m3ZvV2sZsmyYKAWQRYBpKYO7VOpauglswSZp9k2WAS4tShpkhbmTFOQxvnaSJPDHBN6Q4xdi3veZJp/46hxHL8zQbnjM1mAmSGgFNk29Z+CWKbhlnhSqpdo78N2F026O+fgDmkMn6tTSCVx5uxgFyvMxDjYtToo1V+6Cb725x+/dNUe/oWmns0eCMI0blEHrbMIXJZB7pZPlVoWdGyQ/9fcGXLfnNL9z5yxHz0+xHNcZeJqmEjRSoPvSugsndZny1S87rpl9iNPnRabTrvXJyRJwNge6mQT9JJPnToxY87MFyAvAD0PFlx7cx8tuvuq93/odL3/jwnL3L5QqXxfgo3FM4CsWzz68vbf8zKVJvEoQeHjGVq60IgBMQZoztSg+fPYeGXuLgrEzti7ZgDY9YWSMXbqqM2Bn2l/KDOAmdU0y9k7wdOw6d3RMEIzx9ZheEvKej/q8/zObObM0jVF1ZqcUs75lyjc0UuZu5Ol7mdappNIk9c5zcPsuezmOQg6dDuiHATNB6uJkSafMlciysLZUkxJp2k3Nnu0hKhjRC1sMfUE9ciPR/FReealE0ZnrIdQLBK+K+akBP/LtA956+3ne/5ku7/vYHIvDJkNdo6YVDS2oK1d/76fdPlmdflbekGU51zA5VblSxcAEmzMB7hKp5Y8URkOOBapYcD+vWFjq8sDD+y6dagbbX3/HTceTJEIpjxe6fV2Ai/gsRrbmfU9/dPXiY14tEAiiApwZ02ap3DJobRnkVFrIcp2dftmCsQV23U9iS3agzYFdkScyrZJTiQO4TtAqwfcian6I74V0RiEPPC350N1tPvbVOUZJC9/3mfMF076h6VsagaXhF+CuBZIgkASpNHGJodSZSAHuey7zeeyc5b7HGoSRR9C0awLM7Faks10pahgpPE/zmpt7fPiLfQ6cbjKsudEMY8/ix+BFBi80KCWdby3dQNJ8uA8FeBIjiY2kEWg2TQ/519814KqdYz54d4tH902xMGwyUj6ep6lpQV1CkA1YyuxVadOhp5RAXq1ZmSzOmgQlVqRVnlRZfY2HXvycWXNxiFzuGAtCeNx931Pem177ko+evdh90cpqb+GvzOCPHt8sg+TpW6biP5+an17EIEsgFlgj8zLVQlqIvPqswuCk75UvhPwCSSFcYvBK4Y/r0XFMnqeUTV7u6XS3RSs3GUupJJcjWkd0+hH3Pyv4g7va3P34FMudFrJeo1VXTHuWtm9oeJaGb6n7pKztmLseSGq+ouYLaj5phZ5JwW0IPKe/lR5z8DSc6dRcYiXVt9XESVE/41grrZU2kjDUbGoLLt8x5JmTMYPIY5zO+PZDHPhUNlk3S9TAZJ1GdvFkNmSUuPrwd7xmyOtfssKXnujxgc+1eXRfm6Veg4706fsaXwl8KQgkrodTul3qlCguUiXSst91GHxN/cokk2fkRhXEWclz/pzivbTHiMRmd2dDrQwi/vATn5/6iS2vvOXqKy6/i68zPOjrAnzYORWc7fBbd999svmP37LK7o3pRFajMEamABdV0Fsxwd4ivwptCnzyK1NMLG2TR60sTSzlAn0nS0yquY2bhiUT/MzNkBELvZh7H9N89v4Wn7xviovdJqJWw2t5tDVMea6Tp+6Ryg6o+yK9y7TkNNXdviDI2DsDuI7x/ZiaH2JtxJcfDzhxrs6GWYEnTapjRdHoW2I7Wyk3VQzHHrs2CV5z44BPfC2kH3kMI0HNs/ixY/FxZEurlMr9aoSsyJRsW8W8UcE4v70ejHnHHUO+5eYl/vyrPT5zf4N7n25xsdNgKHyGvkZ7Ci0EnhR4UuIJm0oti0KUpGHVPlyHzPNza0qPlkJv5zUriNz/doAWJCXWdv2iFmsSiEOu2NjhNdetNndvvPW3bHj+KmD4VwL4uePPc2FpwB/fVWNlcYpf/RcXmWtrxmMPY7STHSW97WSIrLK0KbO1KOntMtBLNkl6iMrLoCgBWwiT2oEGkQJc6wRfR9RqEaNxwoEzcPys4iNfmOKuR9tcXGmCV0O3PRpK0vIsLW2oe5a6BzXPgbvmuZmErsxUlu4i/XebgtzkIPc915525KzhmWMBeF66zNtSil5UUFBmr7x+OnHkce2eMVdv77P/TINhTdCIBUFkGStSa8+k7J25KZkFWWiV3GdPrUhjVDp9wGMUetTrY77/DWPe/LJVPv9Ynz/5YoPjZ2vsP9MgXA2IA81Ia6SSLp0P6PQxY/JculAE/2uYvOymIEoM7XCQ2IKh84CT1DvPvkjehhjBOGbTTI+f/eFFXnPNDEePHCexy18Pwi8M8JXlMyIcj//ZFz/3wQ3f98YBFy4mnLgAWzcP8YOIJFKEoSIxqtTFLlMZIteyegnglDrebf5/xaERongUWbdJxtrCpLs8JASBm6QaJwnnl+ALX9EcOV3nnofrnFmpc+RsE4IA1dDUtKKpLU1tnIvgucH5Nc+Na3Mgzu4yvasU4KSaOwW3lxB4jr3dhRVybAH2HW/gyao9mEsUinrwwk1InRST9jXGHlfvGnL5xgHPHo0ZxB6tSDDW4MduJqAqAVzKtGqzxOQZUxaJFJEHs1kfZZR4jD2fdj3ke1835rbrupxZ6fLlR3yOngr4/OMNzi7VSIYeRmoiXyGkdCtF2pUvSTOekMuWjJAmnZVMlmUBJfmjycfJMQloMmAnEBqIYjAxl2weIJXlD+5u0e0e2/D3v/d7/tmx42ffvWf31nXDtxcEeDD+MzyTvPOV1z/V/JZbF7jnsZBf/VCbVx8Yc82eiK0zCZfuDqlZSRzJfEk0RmIpAT4LQlOQkz9mf6kcWGaJHDvB3CUpohK8ICFKLEdPCZ45qvjCww2ePebz/LE63XHAOAzA81Ftj0AJGgoa2lAv+cCBzuo0srJZVxcepLLE9xW+L9MLwBba20tcZtFzOr/mR1gTcmFZMrYBWkt8adElm22CwHOQJ7ba7xjGHgLN/GyIVCP6kcdAC+d0REXBmFamkoGUmUkNkA07Io2RbNFalg1G8hKVj58YjH02z4Ts3BTx4kvGDMMhf/9Yh2eP+3zhoRrPHKtx9GSNKFYQKKxUICSJLGWDcvp+Aa1SznDljJY1h9sqoI11oLYGIosm4dI9IdtmIq66JOTVN4340F1NvvQ1xVT7bLMj73un1urd/1MM/j8+fBcfvHtZLaw8IM6fHyGEx1MHG3zx4RpffDhh2jfs3B5x7ZVjXn/TmDtuDMEmeNpSb4E1bmwDRhLH2TbbLlTMGZy1B0MI94WFdHUjCIOQlii0DEaO0Y+flvzx3QGDSPHk8zUOnwpY7PuMEx+0D8pDtRW+FNQVNJSlpnDjzFRaeKQca/uecEmPMrg9iZ/KksCHwCd1TVzK3NMG34vTjGhEvRZycSXhCw+26PQCZqYEOvXis6KvyfOen2tTCgiNZDxWbJhTvP5lIz7/6JCTnSZDTzqZosGLLV6Uedapxy4TZxdSnnUi879hrC79DQd0P1EkWhF76diHyHNWqhfR9CNuuzbmpVeNecurRhw8JXlqn8cwVHzwCw2OnfdASAZDTRKqrHwTqzOAT1hGGcAraWmTPxexQRhXhYqx1JsuIScwvPrGMa+7acw1e0N2bUuY9i0zTct0A15x1WkSETA9g7jt5tvUv/ruu+JdV7zxL8/gnp59z5/c1bj+ueNbMSYmTAzGMyyODIt9w7GVhAefS/jTL8ZsmImxxnDjFSHveO3IFc3Elvlpww3XhjRr6UVqXcLDrj0EZP8ipKUzEDz1tGapK6nXJA/v8/j0V2uMIsUoUpw772OEJrIeRnigNSLQaCnxlaAmLbUU2IGyBMq6GnCder66YG4/68vMwa3SHk2Rs7fvGXw/K9BKcvb2/QilQr7yhOITX2uhfO3stor+fmEGz7zwohtdMRp5vPnWIZ98oMsHvzxFP67RTHW4l+nwKEvK2LxbSAiZA8z9KVnS+iWAm3RGiXZM7mlFrDU6ThzQVYJSbpD+TC3m1r0xL9sbYcWYt90xYBS5cW6f+mrAI/t86oFgsat46lmf7kCmKkmse4aLJICTJc2a5YYXjdkwnbgCrMTyjteOeNHlEdYI5mcMc9MWhXR9qIkiHAtuf5HkFdcmDMcJnUF8fW165j3Aj/ylGPzk+S47NrXav/6+T+wlTlTN8+iaAKuypcMtH8bEjI3hfMdwftW9f/Ck5dNfcUuNNZapmYRbrgtp1V0J5brpyfJlnroOq33Fo8/4dDsKqaWbiWK1YyahcXOBNUiNlBJPCgdmaQmkwZcOCL5ywz6zGX0O5KJoeNCuESBrPC6D2zF8WlbrZQyelO4xgY6wNuTMok84rhFMSfw07a0EuY+cZzFFfn4r+YC8O90owshjpqXYsSHEFyOGccAwFtS1G4KZ1ZBkCS0ly+WtMv9b7m/INPljiuypMWnPZCGN4jhJ8wYq3f8oJooTVORyCVolSBmzfYNJVwzDVTtHhHaI1IZOR/DoM5rVgUTliqUaVJfJnNQVadYsL70+YmraYBMnY+tKoNLPbqxHEkkiozCJTPtQFdaq3HkKI6vqtrd3xxVva1u73BVi9usDfHl5kX539d33P3H8joXlPi1fIRMYGQe0xGo3f8SkuskUA3diDJ3sfWnprljOfaWSj1of2FSXNysEJhtaSFpzKlQR5EiZWlkZqNO0syTduDXzjUuPOu2kV6Rb75GD27V1KfwU3L4mLzF1DJ6yuDb4aXbU8yKCIOLUouEPP98E7bvpXLKU4KmAr0pkGbtmQ0Id2NyJCyOPd71+yJ/fO+T5Cy36iUcjdpvSuipAW3TiqCwnUA72stLFTArJUoFXdjd5LYzWCi9xxXNeCnQli6SZqxtPnwuTNrMkaGERNmFDw/B3XmFAJKnMBES2f4Zde75zSAis0Zg4MyEkcSSI0tmSzqWT6QokMVals1myCVoaaTskw3139Dsn321N/H/9hQz+7BOfQWvh95bPuMoyBU1h8Y0LZsdGEFlBLCQGi5Wei4Jt4o6msoUesZbEKwPbTnzf0pkXgsx0KgcvQsq8BU0J8IRLKwfCVQt60r3WkrSmIu0ezwqJNKU5KKQ7sxVd9QXAZS5bAt/mLW2+b0qDc2K8lL19HSFlyInzgoVuDaE1gaQiT/L0fMlCqzgKpcKzIhB0M/7m2mN2bR6y//yYYaIZJRAkAi+xeHGqw2NyZ6k4jKrSqZDFdA4wtihdzqWRQSeGREmUzrYvV2mxWpLul1TchTSoFOQi+9uYCSvX5kDPHLDi4s6Lnd1jniQsD0vNAJ5VoBYGRmJUQQZGYq3lzLnzPLDvLl+KtfmeNQDff+wgSkFvGOJrtxTGBrz07huIbTphygoi6x5N7n/bvHyywtwvpE7SJmWypTy3oDLPFbQAT1g8kYI2lQDZ8/y9lOyLUlDyBltfucHrXgXc0j36GdCz4DMFd9b9o00uUTzt9KnvR8REfOaBOhcW6nhTCr9cw1F2UJhQpJNp6omkz2jsJti+6eV9Hnh6RDeuMdCaemwI03S6kkVBVFZwJoShKE7KAs1SltCCMelMFUvahCLQRhArgU5kuoudq+WJU6AXyTSTJ9ikNKXEm6kk4Qprt+SRvUCgna805Sw42RwWmedX3DFSFWlljDu4cdyju/psvvHWCwL8M3d9gel2/RXv++N7b46Gp2jXDCYDswFlQGdDeqTbbtuBPa2BoFRXUMpYrYvr7J4lCwSo7FFYNORWm0pTxm6+SaFxswm17lHkoxDKwM7noChcP+J6AM8Czkx360yW2FRvV2vJfS/C90LOdwyPH66D9tGpPNGlAqUs2ycmEO5OZqnqLu9LlbknHkUeN142Zm56SGelwSBWNBR4sfsuKkkHl0ZlgKftgvkfkhOVmiLtm0wBowyJEXhGkChJogyJEsQpyMvFa1k5hMxAnoG6NCFLYIry6Rzo6RUt1sF46bNlZR62DPZUvtmSjMuKyeIkC5gFCsUNl22+OZh73Ssef+Q773/xS+5YH+DDUUiS2L8z20huaPohsdGEsUUZ4Q6mACUEiXCbOSVW4Fkw0payUEVxTKUuoQTsSYC73YWpMHc2ck2VQJ4xls5qI9Ia8KzU0zUXZ50qTpaovHulAHbWfOvYO9XcmlxvZ5agY+wC3F5enRghiLjzqwEPPNtCBhpfCjd/O68gLNroioq/yWxmuWZelJZgxXDk8bJrhnzrbT3ed2eLMAnoJ5JaYhnHpCtXuerPpHLOTFxQL8TkYLRMG4FFDu5ESTdTUgmXvVRFrU8G9KIGyBYgX4fBC9lkJwBgqWhxqAA7+7w5wK1IpzCUAuO0aTuMFb0+eA19w47Z/t9JbHT/ugx++vQZ2q3m6++860t/b2FhkZqviNJh9SJJi2wSB7xEZl3wtpJitROP685TK4M8BXcGAFkChaSoeSiPNsiY221Bkr0mZXDyNqwKi6fdMJ6qgtuNU5hg7rRn00/b2zydNRzEpXtESMSffLlNYgNUnr0sB5hFX2PmbFQ0OBPteka6k5hkwaZG4PGOVw/4o8+MWTURw6TGMBF4MTmLS2mRsciLzpxdOKlFZcmaFCWQCxJti55ZZUi0IzSdSBJlUYmrYHTZY5mXJhcWZbm6syhjzptSSkB/4fW8VGyXArxabl3kCspDP6PY7fUZJ4LByjJzg97fu/aGO+5ZuHju8/Mbt1QBPgoj1Ci8rNPtX9rt9Qh8DxtmdQHpB03HCEjjmDOvBKPQlDbzOVknniSNN0pxZSZPcqBPlGfmWnxCc2agL8/2UEoUWjytuKsMu0mBrZUonJTcDnQd964x2abMXQSYusTegRfy+GHJobM1rPJQUuJLg56s0ygJ8EkXJbvnHU9m8kQqotjj0q0RV1/S52sH60TKZxgLahK8xKJjkcq3tAsnTnU40smFCQAVLC5K0ijri8zcFVfvkmSz21PpV4A7qwWyaZlAxuTkq4cogRtRTMyiAvbq4cgaVvNst11vhSv5+InbfCyKHauPRn3iaHCpScaXWRN9fg2DX7y4TK8+pNcbItNJUIlK2/6VOxAqhXpe0khWR1DUV1SuyLXXaIm5S8/LQC+BW+U134XtVkgW4brnRQFuF2SKvFtc5+CWFYCXh/+4bntyYOfZypy5E3ztEjuuKyjCEvGnX26wtFRHBNr57uWLcLIGpbx0lUtFTZVVq0uwIoo0G2Ylb39Nj8cPtxknNQbKp544LZ6VsypJCu5srTCpJ17KGiIrmtdJAFu6wMqTfCXKZCuSzZ87gMv0e5q8bS7r8hdCFs0RFZAXRXP5oZgICKu1SaISO+TDP9MOqGKlcwP2w1i6wDkeMuwvEYWjtRLls5/9DEJKup0Oc1MBoxDCJEGky5/Kyo6FK4QvWs3WShK7znJUPsmF9p54LAO6zOKV8WIFY8sygytRYvFMrkiUrgLc1+kAIC/bOjDNcGqLl6fiTfo8qdy1cp07z5+Aj97dYix9lFRp9rJ6IU5mMNde7tmJZQ1LmZTB40QTJJq3v27EH9w14OmjdSLlMZASPzGpeySQiS0dJzfZICt7cDeT/q3qvkVlJk8M6NxCdFN/VVoSoBJbDOvM57KI/IKOJ/R4UUdU7QSqAryKkUqHWAXkpaRYdnysyMkhMYJxKOkOPJ57/ignTy1gTCHRtPvlJ4Cdjc/d+b49Rw53WFjSnDgX0x2kkoOCWQGstHkH/WSr0gvdyktT5cqeYO/1JYrIgTM5DlmWGDsLMrOpTVpnm7ym2ltNgDtL33tZY7JxM0PyFrGspzNO7xHKCzl0RtMLfVA6lSd2ojx28sKtIrw60GjCC0+7cYrEj6bpCfZuG/H0oZDEBAyNTy1xNds61eBKuOGVLrGUrZaGLMgsmDwrgstaCUHng03de8q4mTbakHYQWSdL04bkbLpWtt9S3hsri+BSSFd5VDQrV7X4elKlnBcq1yxNXpQmvRgyfIxCOHneEkYjtu/avucnfvyHGlfc8gODl79oowP40SOnkGrpdbu2q5/YGJzkwImA544F9Ia2emhSMGYBsM0uMVH6UKXLsALqEnsXIHf5nDIQCmAXfYyqxIqqMlQzAzlFjbQqgTp/niZ5FKkX7sDtAFwMBfLK8qTM3irt6/RDlnuG//fPWiwNa4jAc/JE2sqqUgzOWb8iowJ0XNmszZq0cwZ3jkoca9oNzY99R48vPd5maewTSs1QSvy0h7IY+ZAyeFbxk+rirIzWYlJwm1JJcxFL6XRIUxakZ2BXUqQM7iRRkrso5DKl0OFFO2EhU7LAMzsexfu2hI0MN3a94zTRpyklaGFoK8swjDhyLmbfCcsPXVP/iX2Hn75fJsM/zxn8Dz/1PEIERKMjNOQiTx2d5akTHlOeJPBs3veXAbK6lrzAyaN6gisAn2C3wkURBcjlpESpDqbJgS0FUhXjx1QJ1FpKdCpJdA7wTHObPKj0tMnB7ems/qLK3p6K8P2Qj3zZ47kjdZAeUkqCrDS2ZG3me8SnX/IFqwlLbJ7vVFGSKbFxLWdx7HHtpQO+/bYuf3BXDaMDhtInkCJP+igpiPKAbi2TizKTT/TQ5lJFgbJuVTBWOHBnU8IMbgxfPlaimEVTTKZ18lXIKsAzR6xMbFQAvx56StS4js+cBbqBn7Bprs/Q9Jl5LuGyTU8xIwd4/pgc4EkyRase8OgzG/j0fduo12psarodGBJDBXSidKUhvw5DicIxKUBdXlpsmsVcxzPOA0tRsHnOkH8RwGUBcFWqodZpXYpHLkU8VbglXmk4UKG5HXt72k2tWukYPvWVFoudAGqpeyJKwdgLSJTse06ev3Vtu3JqOsncFM1MW/Ftdwz45AMjlvoBodIME5nakyJ1b0TRjC0LtsyAbW3R9WNyNi+63XXmrKj0eTo01aTjr7PjXga5kKLUfZ8N8Ux1t7Rr4qsM3JkjV8ClDBab07tYg6lCAmVJqMAXfNvL4M23hIhaAyVmaddcoKkfePwQWzbN7v705x/+J2fPXGD7VIDvCRqeyQ/SGhBmf6y8tkxcjZXgaj3mzr5gDmzxdSWKqAC7Ovu73OHihrtTBXe2s0HG3KrE3GsYPBs3UYyc0MplLo8dFxw8UcMQIKTOm3OL6sFy/CBKrkZxQMq1KAWTlzJ3+fD4LHPngk2s5spdIZduGbG0v45NfMfiiZMpuuTiFMFdudArqxGShYVrUza3hU9upMitw3Jso4y7aIwk1d5pQksWZJSD2winv6XI5UkxBq5wewq72FbKqMXEkldhf1Fsx5jFDaOxx7JtI0UdRheZb3n/ZG77q54cdJ47rkdRQncw2twPzeuPnFli85Tv2Kw0CKZs0WUfNNfYYp2rbBLYVH82S4Bker4ytL4iT0TJmRClYLMAtGNw0lHAZR+8fE+3tFZlcJdAnu5X76WloRl7q/S11hFKRXzmay0OLdbBL+SJV7Iu10oueOEljhJ7lgPOLKNZ1eJhqLlkQ8ibXjbgkecbYDzixGlxL0mzu0lVKuXAyqGT2YauSKky9SB7LtPnMl1VZHZ3xz5JVwyZAd1kK6zNiakiVSikJxWgu4suI8mqdVx1W0QqB7LnNt2xzghnF4aRwlrQWhJwDk+Hr7fJaLMgPq41FmUtvoR6Wl7qZ8u5LDRYVTKsz8xl5q4CfWLMcel5VlxV1trFaiHyMtBJYOdsrkSpCbcE7nQ+YbFtB2uBrYsBQfmIN21SkMdOnqiIeiPkawcUf/6VJsORDw2NlgJPVKXJ5OcvX9DrApwJ/T1hGZZ98SjWTLU0b7l9xF0PDHj4gI9tegyTAF+QX2gq//uFDq6Gcw7k5TyFCz7TC0w5Nk+k0+OmxNpZUG9kFlSKkv4WpUA3JSkjyBI9GQ5kRapUp6MVLO0+53rxmky/T16BSIkgSBC43Zaz5JkOw5jROMYkiRuf4KWAqIC7NJCxJFWKK6wM8kJbTToJxWtRZbuSHCk/z6WIKEAtVWn3BiXS2pQC3AXIs7JZN5g/G6Gs002YtKoC3cvZ2t2VcgGm74dEYcJdDzZ4/mQDPA8hVQqqdG5IKbgUcuJCZuI4ZWohPynpVNZSJtPkFXQy98STRBOGmqt2xrzh5X2eOl5nHPsk0mNoFH7CxGcRVEpWJ0BuJz4LKrvYDEYJVOZDS4FVbrBqpsfzFVW6rHZ+bgwl9l7b0bSG3MjOdyFBCqBXwZ8dWyME0jpl4WqeVCXjidEYk2BNiDUR+vc++Gm0VqyudpmfltR9W2Gj8lVZLQGdAPI6jD65/FS/qKgAfDK4rAaYxQ4EhTQpWYU5Y2cALyan5hIlZW7H2DZnap0/Fs+9NLjUKiLwQ549Ifj8Aw0GQx+aHlJklYOU7MF1spjZdyvrt4y587RmMVl3sny2mGui8m6fVivkDbeO+eS9I546GoD2GRmJn2pxZUAlGdDSz5AU8oCkDPYC2Na6lS+XLtKxebaqZEG+sQ7s0hSJNmHKbkq66pbBnsVashoXrMXKZHBePDcIhCkltKxAGouRNt8tI4wNoWpy6tgTBOcOYUyCnvVWUEriNUKYkrmJXr5qKg7HxAecvBonpcrkiS5+XqwBQi5HRBZUTjK409vlbKZSqSeaxgyunSt9rsvzwSfAnd69bAptWuCvVezuOsLzImKbcOf9de57tg41DdI1NHulEt5KaWz5Xn6xnkQp1YXntl3WXJ46KomRFaCPRx6vunbAm14x4LkTNeLYwwrFUGi8hPwzucK4wiosLq21TF78fYtSGXM7NnevBdKIXIfnfn/G6BkpZaDOMVNIWoRFmnVW9wlHpcCILchxIq4xNlstqGh9cFLu5EWLMSMQFr19k4fWguXVhH5fECVFhF/Wwi/EwJT+eFWLixe+CNL/vriAROWAiElgV6RKOU1fuqsJcKvSXReboGaA9kqgzpwT55i4R6UifC/iyeOSj365BfggPYRQeReRSjdSLWddyytSSbRNAIxKQVrB3CUNnpaIGpWOfsj3iddYq3nHq4d84cERjx5xkwQioxgkIi34SkGXVoFW6oBKyttpWetYvAT07F9VCnoj0/18sqDYlDLLNv1bthQ3mQKkxapfmvAlMjelunpnx6jQ4RMXQvY7jKi+Tj11YwTjEBY7glFaJ69PXAiRUjIexRjrUt3WTkgKJk5c+b30U+RaKfsCkxcBxZdkHd1dHARRaLhM22XMkS1PZZCnrWnFZlOpP5oPwC/AXWHt0mPWWJtJFaViPC8mSmLuebjOM4fr4HkgXXDpC1uaHFsOrCZWpQqgqtCypSd5A0Q5HV2uLkwkRmWloppx6HHNpSNedYtj8WHiWHwsfEYGdJIFc2mdCiIHQSFR3Acol1qUrUslwSqLtMJ1IVoXiAorsCKVCJlUSYmqLGNzq9SULvyKLz5pPKwD7BxLE9LmBXR9ttvI5g0JSlmstegokkjhyg8FWYIgE/higpEml5RSxJ6iuDrlKPsdZTYvrr7y+25KU3mPmIn6E0G+906+e3HWfFtpeCi2LlFqAtylofi5e6ISlC4BPJUovo44dE7wgbtajCMPGl4qT8hb01R5l+BslSpJsIpeWaNPqkCvFBaZat3FWi2uaQaS73vDgDvva3LgjLv4EqMYJMpVGSZp8iez2JL0nE6sJFlhXBng0hZaXKYaXRqLTc+RlSLVwKVYKWPyTDqsY0oIsw5IsRUyXKPLc0zZCUCX3aKq9aiVxvNcr7B69IGf3jTXlv/p0SfPXGlMWqwkyTOC+QQlUWQLM9mQ14JkrsZkAqZ0r8qN8h6WMnVD0rHA6XjgHLgT92xkQtnjzh91obudg1IFd3mvnqKYKt39QUd5M4OnQxIZ8gefbvBHn5+GIABVQylNQ1nqyqbjKMgbnL1Sa1yRSS0noiTFZFgqAWoRSxS2Y3bRCkna+Fv0QippEdawY3PImUXJY8/4xEKCUBihEMKV0q6RiRkJlVcVmz8rXtuSqLGlkuiC99eMZMulFhP9AbZ0AZfvpVLhyiRiROX3FWXFxazL8s4h5YI1Uo0eJwkdfd3mTu2lX9Qf+NPl6ROnRm88fXHExpkgB+3kwSl72VQeq0vKWv1UYvRclpQlSVmDp0vdhHNTGcg+4Vxk+juTJKqkvVW+00NpIyplJyRJVimYsXeEpyMOnpV8+EsN3PwVx95553729wWV8cKyfBwqAVPpRQ6gCXCUTlZ5rmA2pjrJRikkikSlWjzRfNdrBnzingb7TnsgQ6yQjBIPTVovkh3rJEVAkiV+MqiWpFPacGDdBJr8s8kUaNLiLDorct0trfsb1qT+uEkD1AlnbPI5YlLOrhPf5dgrSZsKw4sc1Nkuf1rBdLPHhu0Lb/TrdlpfuGDodiz1dNiNp0UF4GUwU15G8vcnbZ+yRFnfClwbVK7Vb5UacJkV12T6u/Q8A3JW7ZZp8BK4dbpZlk5HD2udDsvP/G4Vo2SMSuVJomI+fX+TfYcK7S2FdN533kHDuidQMPk658aKBi+eVxuQK554aSKVNsLVpsgihR9GmqsuG/PmV/Q58uGAMFEgNInQDIVApy2GkpLsJPtMtvQJRK69nS4XbktI637OSvcZVZmBhS1S/ML15UorMJlMKfngpkRgJsOUrJZJQ/UYTsZuFVLNjmd56/FUYYBlID22CUnbB71pRiETzeKMpl7XOfBs8Y0rTF1mayYugvISWB14U9VemSuzBiSTzD3B2tnrjLUzsGtpq0BXZSYvdLfKgshsixNp0LIYmq9UgudFHD2n+O8fbzOSHtkEraJrPl1ByjXQpe9WOQtf51ZdvkVeelzpRTRlDS4q9SmJ0cSJR5DE/F9v7fNn9zQ4claDisBoIuExFG6n6byMtRxsToA88+YtoLMLLn1PWnfMMzaXNvPETYXNjXAXlJECYYvVYxLowoUFmDKo19PfrA/4MrmWYSoEjCNBb+AztVxjZGvo6bbGRJr5WR+ldL5ZqwsySnvDl8/bOnpukvGrUXLp+aSvXnpeBraYYO0skVIFtykkiqwyuK742ymYK3536S4di3s6pBsa3vfJNmcuBqB0ag3KVJ7Yiu+dP588UZMX+dcDOmW9mTUeUOlcccmWYtpT3gwhFUms2TY/5oe+vccvf8CnE7mAwFrJ2ChnGyZFoROJoFDYBciL/3f/olLk5LOcUlbP2NxaJ4FyBrfuPNkUvEKkz1PWXrvaTQSVEzKlHKNPJhAzjGUBenmnbGMgCi1zq65+Rm+YAm2hsxHCWDIcu20zksQUzDJxW7NkVGTJWs2e+5+yeL4G3LIsUcqsbUvWYFFkr0QZ0CUm1yZldJNLEydHzBqpolScP2oVoYOIj90Z8N4/bTM2npMnQuXyJG8qnrDEKro7l2ZlWK8P8fJspMIqLIM+S9lbjDF5drM85Sk2mpqO+ZG39Tl4wuf9n3ZaHBSJkIyMCzhlQs7gRQFWdrKK1H3ZrnTgLiSLtSmbi6zyMGNz6+zDPPGT6nJZ/K3MPZvU5mVCXGs/V9m8GiBXV8I4sYSR21O02w+ZX4lAR+jtm4bMNQf40YDzK5KzC5rYQLFBVAXaEyxevvoK0FcCBvHC71UKc0rLfcHkJXBnW3SXtwxUZdfBlKRKBuISk8uiOrD6GKe+d8TyCvzZlxqsjDNwO4B70mlvLarypPJZM7tscrWbwHdZa+cnqMJEZXlCsfWimagTlxJlFMZo4kQz5Se89bUDPnF/g6WeAhmBUUQ4PZ53+4hCi1fP6/pM7vJARVIoq0/Jgk0r3XuOvR3QTXbx23XqUdYBO8KV166ruSeYfD26yPa9H4eGC8sxJ84ntDYaxlj0MO4ziLv0k2XGscc4UlhTPllVULuHamqVdQAM64N7XWmyHrBFVZrIPLAsNxhUg8psOE0B7qTC2gVzZ6xdsLfXiLnzKzUefqaOKWlv19SQyZNqvUm5Mq6iE8ULn5y1hFHe772QKJPNEJX5IFaibOGLx4mHNjEvvTbkW18y4A8/44MKQUisEIyNRgk3tTUPNEUB6km5klmD1oq82dxmOjyrnZGlQjHpZryUa5hs2phgxVpiWxtM2lSPZ7iq1oxXZPELMLmQbsak5xtUY4hXH+HXx+g7v1bj7IUajz5RZ/ecZX4qIfBV7mlPLhclzK/9txfQUetdxZWMl6wCpsreNrcI841KSwCXyqLTEWNSpo6JtKmuzsCdFI6JNMVubNK5J4EXceSk5AN3tjjf891+19INeleCYseGiXhh7UkTFcCvSzfl5ZWCvave8cR2jNk+SJWue7d/jnt0259saiZ8/7f2uf+ZgCMXJIgIUBgkIyFLm0i5oDMDdW5jli+4Mp/n2cz0PJTZvAzmrBirlEY3E7Xh1URfeRflUotdSUKV5W5RP141L6RwOYd2Q3HlHsFbZ0bs3D2i2Ryjw2FA2K8T9uqMm4o4dkNwnO2yDit/PbB/HeZ2w+2L96u2YKnyrQTo3B5UGeAnQJ7PyJ58nuRDIzMW17Kku2WCTm1B348YJ4bf/kib+x6vu942qZ32ltJ17Yhi/kr+WbOVZfL7TjB5GedlrK/NYBauRbHHe7l8tlxG69rNTOaoJIZYalSsedWLQ374HV1+/rd9xrF0GSgjiVNXRaYDKzOmJHNW8g/mWtIofT73WpRig7S73mb2oJNo2QWQsbZNL3onXUrHKMv+ZkpgjfbOamiKz5mtMmswlhOka1GseT5tf4aW16LuNdHb5sA3gt4OSbvpNl3S2XbRggooJ33x9QKByaUn/0JM6O5SerusvzMAZ8B3ssQUbD5xl7k9WExArQSXspAlOp1xnQeXMsbzY778qMcn7mswDj2o61x75+ydBbgVebIOc5dQnIO9dFIm6btc2FSMLiuDG6wqsn3lWvHESKRxUiUDehxr6o2Yt75qyN33DfnCo8rZhkgQkkhohtmKCgibtpaV5Irbbaaqyd29VJci08+ZNkXkr0VaWivWA3p2LDKwlxl7PYwV1YQF1kolISWQ2/T3jcZwbkmz1GkQ+w2mpmvomZaHjTw2zQUEgZemll/AJZgA+FqZUiwrLxhsltmaEhOWZUm64asSVddE5m10qYuSJ3cyIJsSc5eAXhrmnmtv6abErvYtd97f4MC5mpMmwpXEikx7C0oTpOwacOeShfJJ/Evokwzc1rFmZslV7+ulp9fWi0upkCZBGk001lyxOeJbb+vz8D6fTpimX43T4yGKbB+IKrhLGjz97BaX3MkvSOnclhzUuMBS4qSKEe53TgLdICZIbaK2ZJI4JyVwRTWU2T2VtCkZxAmMIleFOTMvSIRAz04JhBFsmnN/KTfNS+dnLbht9cqaZHIxaQHZCtgrAVqJvdeMIpgAc8bwmSSR+WD2DOR2AtzpzgSlxwzcno4xJPyPz9R578dbWKGd711hbwrtXbEG1wKdyvEpgfzrsHelko9J/Z0x+dpWNpOl7Y1xW3tI54sraYgSD6kMP/KWAYfPerz3E5ooLkBuEIyFRJlskEQK7nJrWw5q4XxA3CJQvJ3p8PzadMOghPtvbHoOM6ALHNtXCqRKhEAZ/OlBnNTcFeCXsSmAxI1uzghjNI5Y7sRIL0bPtEK0DenNRYwiSRgJYlMAfT0uWvePVq66ajBQYW/IkzgF4IvgMpuaJPJRxIX2FmKtYyIzcKtJeVLds16le884DR7h+RGHz0s+cU+Tft9zDamT7J3XfJecHVEkeMq6cfJ5BvK/iMNtoQFKciDT4tXpqjZtOsiBLjOgS4x0WlxKTRQltJoxb7l9wF1frXP4XJpUcAOqSYRg6NYa9xlNCm5bgN3moE7dEtLkT3auMydFFJ/ZCPIKRiuq5Oa6guzEqi4msCLWJ9BJMp18kUq7xLjpXivdiIXVGOkn6C0bYzp+yOriiE7PQyCRCXlnTxnoYuIX5yQlCtqvBgsZEOzEBKvqeIM1rJ0OkVElFs8GvSjlBj8Wg9lL+ru03YYsyRIpU8ckZXKtY8aR4e6HmnzpibobDi49B/AJ9s4dHCGqwTClmudJJhdVEviLbjmbr1N5Z4yz4Yodpd1WJE53m0KmGEkiJCqRGKGIxprX3hDy2pcOOfVZj7FxOjythCJGMxK4LhtSeSlEZoNg0ySIys905qik14pIqwqlQ7bNspcyK8AqcgNCgEhtx2qSp1RmTFWTl/EmKL2ZH7HqETQW4tgyHFtW+oaVsUcQ1dCbd2xePb/Uu+vIOf13N7ZdzbUn3FTZsoVVuXjEC78uM3g1wLQVJi9LlcqyXx6ungM7A3pRNlp2TqRcq7fLdmCWipfSdepIP+beR31+5fenSKwunBOpEEK6fYBEkZavMnjZ8VmfvSvH5+sBfSLZM5myL8sVQzb1Ki3GEoWjkmty6bxxYTRxbPD9hJ/8gS4HTmvufURifJFC1n2ByCiGpHFDToUpk2fzsUtfpPDC09WWqjyRIg2U05S9IZtsJSorNTjNXnVQSrZgKWlYvLK80M1i8wGixsC1lwt27Kjf1dywa1Ul+pL+0/t6RwTBD9f9OO24EYXGlKXGg1JlX/aFClCWs3zl/ybTzuVkTWbzTfjb+e5h5QByIpmT1ngXtqApbbdhUq1tSrIkKSV0XK/l6WXBr3xgivufaLpNeaSflsR6aCmoSwgk6SZXdm3tduWe1svnQ3Kqw4iymnepJhqmS7q+MpYjX82qJQHlVS4LzEUajOcSL99tgdyt2DAXE2jLw0/7rA7lxFIj8yniogT0PIhbm075S6xHpWLckvQCKhPLyxncQpJV7dP8577OPavVySohpbDs2dpgQ7D0/fHyswf0rdcYpBCMQ0OvXxTRlBal9VeF0puTfu/kdP81z6WtBJpl5hYTAWbZ/841d8biFWCXnZRyYJmWwqbPEz/hA5+c4s+/0sTWFAjl0Ck0QspKv2XR3/h1Oubz71eio7XnfM0Ca9ccxZJMgUqgWZ1fmAaZ6fxAmzK3taaoURESaRSJ0MhhwlvvGPL8UY93/64mDOIC4EJgjceYtHYmixqztjZR1IcDTpObNLuZsnsRZKasLdLJw6k8qVqFdsIyzPQ8LyhPXgBya97K8JoYy/PHJAdOabAGXQt6ZMM1BwNJYrNew6+3JEz8odIJXJvlLEAsykxTCjDLzDMJ7BzQIvO9i66W8vZ2GXPnz2WR1JF5zUnCFx4J+P3PNhkl6RR8kVmDadZS2Ir2Xjc1XwY6ZcBPyJUXjIrKx9IhJKOUNRlN7JoSWitLmU1ZclaEcoVZMi3OkobEaALP8ANv6vPgUz5feMLZhZk3jhQYqxknadCZaXGKdHwquNPAMrMHBSq1BMsglyK7ENKCqwrAS8eulEEtrxoVLH19XE9yiAsxEIxMAkmEsAb90S/5xAlM1S2XbILpNq5FKq8bXvvby3PB8z8gih+snuC1AC9bgqIC8FLAKdIkjih29lJrdPg6LF5mb5kUAaaOGIzhF39viqNnAqwudkuuaO9MIlWAPQFo1gFzfkImQv6vI8jtxOJYzWiWi6/KenxtbYqRacWhLLO4QiQGITQyNFyyLeKn/2GHB/9NQG+Ufhkj88+VSLcXp3MG3IdwW/1kYAdMCmoyzLu+T5sGl+moQxdwZsVXqZS1peM3WZ/ifp1lcqVbD+AvBHQpwJOCmbbm+r2SjRssYSTQl+7YCigwfYRcTIfkmLxjPDsRFd/2L7icygHDZLRcnh1dLqTKgC4rTG4KiZL1JYp1wF1xTUq786aet9YRcQK/+bEWT+yvOc9bZsxdOCeeqMoSJaqsXcnEMnGSBBSz98QL8vUaJp9wTooGCIpiJivyDb8q1YbCMXgedBrpQJ5IjEjvSSpVjOHGKyN+7Ds7/NePTBMmKdWSUZ8gQTE2paBTgmdKAiCTKCkYbXqSbcrYOZtLd3HY7PyXEzzpf5en7vOVHsRfgKvJup3yLSsrSRKDZQ5kG2SC/nvveANB0OTMqWfZ/9Sd1Gq64t9WhtLkAE8ZZT1wU2XutYmeci1HeQOjte5JsenoC7B3KkdkWZZU7mlgWUv44kMB7/9Yi87Qcx5g6nmTNuk656TIWpZLecs6vBjNts4MwkpYJvLXFUivw9pr8F4BegHyKmtnU2FtCv6yVHE2YiIV0hpXrxIr2jXDD75twGPPBdz9NQWNOBPOOQ3GRjIiiynSeldT0uIpGl2yh0K9CJFnOq0pZEl2r5Jbeuxs6diVgL4esiurWyUAdS8iAWEMnV7It7zuem6++Xq63R661TJ4HszPjhlsXiVM2sTpLrLFNhfplnelQvj1rqKCwQsmLweYZWBXo/7UaSkB3G0ZvQ7IhclZusLcygFdlqoEpYyROmb/cc1//2ibw0u+a4MXJe2dVgx66ayT3NlYL6gsXcBVaSImltsXOFHZ+xPuQqXwyhaJlbwRgvXS+FTAnhdiWZNvKisyqSKskyqR5dLZmP/r7T2On9ccOiOwuiywBEjP7VpW/rApyDP5Yo0b8kmJyW0qWWyJsZkAeFYnLtMv70A+AfY1cngC4Gk7XVFGTC7b4hgWu4bVkcAKRWQVemFVoj3FyoolNiOmWwH9oU7H9pYHQpa6vEsgZ50PVOjTEnOX7SuxlrWFyLamqzonhUypbik9mczJ2DxrbJAyxg9izncEv/i7bT7x5QbWU0U6/uuwd1H3vTYlP7msTiZ1yoxeiZbExEmrUPba99bWpJR1eAZom2c4babDUwaXInueBp/CECcGTzpXpTOW/MSvKS6sCgiqdGvRxFYyKmnwCshFIVesBJXJkxToCFcea3EiKHsUKbvnGMnwkMe1LyDsJpqy86kD6fNsd7jeWGA9y4ZZw6ZZgxYGGYYNwmj6fBw3P+8F25AiJPBifC/Ot9FzXnLRuV6VEdUTX/n30kiHMlirciPT2MXmomUAv6AdOJGplDJBqjh97mpNQgyffqDOFx9ppLUmKgd2lb2LXYPL8wbXLaYqLal5K14J2JPMnYN/vdWuXItS1uBkzC2q80NKzJ3PEiHdXs+U9nTPhwfJ0ntFxaGwkte9ZMSbXz7AF4mjPlO62wRr3DbtIwNjI4gMRFak27q7xyQHlyDJQJe+X2yqRSUJk/179t9mQC02Fq7e3U7Mxe+I06KqOIEogSgRhLFgFAvGkWHXpnmanvf5man6+XbNQ/3m//vr/PyPX7G6YTpcbfiD7wmHZxFS59bN5BJdPpmF3VMEidk43Eo3zgs2LxT9lNXaklJtd8nzlusxd6kjPtfdOiaRhk/eV+ffv3eKY+eCtImhSOi4mhNBIKGWDrLX6Ri4bLZ4kcwpRsO5z18M5s+n3AqQUpJvqyKqQ/rdpC5ZTdxkTt2aRFopoC3XoJcdqPzfXQlpXuch119xsitNCLe+z7YTrros4tRFxaGT2pVm5ENLipNshStjKuKL0lQzynFYUS8+qcmsYP0LvHRxVy728kVPibVtCejW1UzFCUQG4kSwOozZc+klCG/6xz9779GH3vKmV7k9elqNi0jlI6Nlhn6EDS0o4+YxJwIhJCKGOB047oKSzC4S1b14MFWJIqqP1ZJYO+GDVzW309tVeVIElAVzZ8DOHj0v4dii5P1/1uTA4QBaKndL8sSOlLk0yTOwVGvTX7BjvmJxZa1V1YBy/XKGwkVZL9njWNtMJHwmgk2K11n6Xgowxu06nHnjImVxIQodLkXWla+JxpYrL4n5gbf0eOQZn+MLmYmdfUSRy5BYCkbWnXebnmwrLaQ7sIF7brP/3pT8ckCYrCjL5lKl4qKU4pk8jqX0/ZkAdwpst4pk28oLhhEsdvtcXF1mOAqBdBMqr3kTQtex/YBRuIi1qRzBYKTMpyLZWORBkDDZ9Wxz6VREw6mnKcq6e8IOrADesLYGxVB2TZy8KYO7DPoEJZw00TphuSf4jT9qc8+T9aJKMAd2IU18MdmOVnTpKFFmzLXB5QtahWtVyl94K3fXV6oKK+5BypApyEw6G9CKtB+y4o1LhLAkwqYztUVuGwqh3GUkDMnAcMeNY/7pu7r8h9+TrAzTzyFTPW7cc2sVsRGMsi+euip51WHqoChH9WlxWOGPy/zaTgd3lkpjZemrTyq8coY3Y/EM0FHiZFOSaXoscy3Jy6/fyWtvu5Zuf8T78t+vLgXvtrsPHzO/stzbgLUW34uoByGBH+Gnw3Jc0FjMm84+TM58qVQp6ilKNd1ZNrLE0mrSIVEFS5dliZST1YEmz1BmzJ0ldEbC8tsfb/K7H2vRi9JCqgzgqe52s/tcSj4bBZHP1aYK4ooPnjF16QBUwVwU4/9lkT7ZXZ/ZrxW7sHSSqwkfUU36lJwVt/emS/pk7W3ZAE9js8FBmpaGH35bjx95a4+6icEkJS0eg4nAxFhb0uR2QpNbp8PjVCMnpigMSyZ0dwZSU9Lkk26Iodib1bJWtsQGxgn0I0EnkgxjicVyyaYAFXZ+5U2vevHd11y2I8cmMriMr9z5i4POaveYUpp6EDLVGjDT7jLV6hP4kctsZstoFvWXmKu8c3GWxFGilGKfDE5Foa0L0JYCTWVK7F5lbpmDO8tWxkgVg2d4/ojHH9/doBulkzEpB5XKAZxUmpSswKKTf6LjaNIenHhk4mczYFfZ6OsjvWhXm7AMs0DTFntZFhdBqSk57/qRJbCLUnCZvVY56I2RWKOII0VLW777dX2uunyMTBKwSQruFOQ2AZPkIB8bCFOQx2WQW5EHj5l8yHaNK2tok/1bZWrARCKx9Lp8/MFdTP1IcHEIC4OEi0NLZwxae6wuLx/74X/67wfX7d0FlPaqf9FL3oRUDYZLdzJafYrHD0tWerBjU8TODZJOr04cy9QjL5HUeuDOrD8KVpcl4Bea2+SNDIVEKTF2bg8mpferafjstfYMTx/x+LFfmeGZQwHWk4UsybR3yt6+LHxvXWLvF+65XF+SVBI7gtKrgtr/UnLFVp9WffFJ9nZugzRpciWfhpXuwiBcgGusdDrXWvfcpI0HmUwRzqFAWERouf6yiPf8xCo//B9FOg+dwuMzIn9uUcSIdD/ZdLUpZTIzHW8zXT4pWUTWdpGxtNuaJJX8OabKdjPZ6mpx+wVJ6MeGvTuW2LNxyHJf8/D+Otsvu4G//47b6fSGvO///dkqwOvtFrVai+cOKn7vow3uenAznZ7m+suH/NT3RDRUwChKa4kpEjVVxirpaEh3vF0LbpnKnYyxhSg0eDmYdK8nwW3yAFMJl9DRXkLPCn7rE02efD4gURPJHJllLaWTJiJtZuDrsLfIPn8Z1BNjIV7AYfrL1oPbCWCXEW7LfZqV98vMPlEzbgUynYSVbSZgU18885tzsGdAN5YEgxaWG68a84/e0ucn/6tHL8aB3KRXd57tdCCPMgcl9coduAtQZ8Fn/jNCFO1v5L8qd2iy6DL7kfIxzMhFSbepmBBwzUzCz37vmBsvN6z2B3zkyx1amyKmZmbxal7+3+YAP7PYZG6mefjLT+w88tXHL7902gvZs1PQYIqvPuZx9W5BvebmaWf2nUndh+wDleeolBM65WRONaA0VJyTDOh5QGmq4FYmDSYTpEirBL2EgYH3f6LJR7/YZJyBWZbZ2/lxMgW3JyzlCVXrZi1fyEEprZn588xAWxfMf5E8mWTvzHqza3S4STFUZnS3KVQB+Mw5kSnghRUIIxHCuGDTtcCn71kEKZsnFl9Y3v7aAftOaN7/8Rb9CHfATIZGWyAzY/IygKECdBdUpkkhsotlLcjJvrex+fWUx3eCvFxCSYHWsGFKcvnugPFwO88cjmnVx7z9dktrU+PI9BZ1OIlk/vuzNjt+49d+jetuePWR+anmRhUt3a7jFTbPabZt0LSaHp4n8277qvWXgbuQHmqy/FWZkgY3rF9v8kLgzmpNTEmWxLnf3Y/g9z7V5D/+7hQXlv1Sd45XKagSqS0YpP23mURRMkvRF753ZQ5i+QLImj/Kryvvlwb9i2z3g7XvTe5cUR5IWh4+mnva2Vi4iWM/GQBnpRDlBt5KYzRUVqCiTijbadgy3U646eqI7kDy3BGPMC7/x+Xr1b0wovDCyzt/VH+u/LT4XWLiJ8ojISpyMc0teAoCX9BqKOq+xzD0GYeaTk+Cdwmtmat+s7t86n3bdr1kLYMDtJseQa32mS0b/G/3bOsGTwvqNUmrLpDC5AGCzT1PW3zVslbNP1hq95XYulo1WAZ1KaAUE+BWxjF2Du40HV+z/PlnGvzS77Y5v+K5ITdyIluZSpPMFtTCrhlgn0/Wylai9Zi75HNX0vGV073OWfvL3EpJDtZIEpFrmfVT96n+lWkHu0mlSSmlX7C4zS1EYdO7UflrjCIaW7bMJPw/P9hhqSv54J1NqGUMnn5xWfpyRhHLkvNj0qIrU7B3JmtTPZIeQOe2lZk8I/h85Sod58mxcP1RgliB/lBSCxqIIHhyzxWNz4ThqHJoVfnFH3/oA3zLq/aenG5yS82PX1wPoFkTBL7F98i3BynYbv0+ynJnvCr9m6i4KZNNC6WEjloLbjWZ1KkZDp/R/PL7p3hiXw2CzOP2CgbPuuTTwNL53qVsZS5VyAcdFU3GBYOolEUrzFt5XTC5yJk93UzrBRi8Mgs9O3klJs93n5NV4siYvbqD2TqraulizZm7xOyVWCJn1HTKlbFMTRnqNcuDT3ssr6QHqXwrW0ZZTFD6Ze5viBIRiOq1X/m30mekFNBn3z09xirNNmd/OooNg1FCfyTpDdWdjz999De/651/v/IxNRO3a67cgNeXwQAAL0JJREFUjBCCs6d7rKyMiRMFwm0BokpBF1lDRCUQK9L25SyllCZ/naXjhag6JkVBVZIGoZPgjtOfjVG+4chZzc++Z5ovP1aDmixYe0J3k3neIt2NrcTWFfdknVWoAjZYf0xbud6T8vtrtXvmDky6JNlpL++FU850VvzxrKIu19/p4ErrNoZaryhLZLUrQuZJImFkUWZhLcYo9zlTtyUZxbzmphG/8GMdfuY9Uxw9hws6Uwclp90SVyZGEMpiXbfWpsPBbe6m6OxbpcGpKGlyl910iausWLF8ICzOS48Tix0bxiGMQ0O9UWPbri35JICvC/DrbrgDIXRYVwsciVfojQKMKTNMtUNnskKwqq9NztqiBG65LrizZNILgTutM/EMxy9qfu6/T/HRuxuEIvO7S6n4ki1YDizLSZ3J7qK1tRvFY05Yogrcgvkm2HC9W/kf16nAXNNMMukJZ+AGih6xTMKkoM8ym6mL4nY1c8DP5ItzT7ILJHNUMpC7oDNDW01b3vEtAxIDP/Ob05xYEAVivg7IczZIwe1AUiRPdAmxItUlAhfDZryZJX2y2NbJH5eHisFVTlpY7SXMbtnM3/22N4RxFPMTP/4XALzR3IDQU/+mPnXp1VIv3GFN6KLyyTqSSklptZ6k4pbklmBRX1IJLMvgzgLMdcHt9tY5saD5yf82xce+0CCU6dZrpcbhquedgvsFhvesqRqkALsUE0xMmagL1yR/Wf2B/6VbeZRy5qys0eElwDtgTDoqVFicTIvn7E36mzM3Jf9LIJw2j2KLpxK++/VD/n/tfXe8HUd973dmtp12e9HVVe+SZblGxb1gBxtMDDgmJJAQeAnExMEQnAdx8jCQENt5obeQkFCSgIMNDoZgY6psbFwwCAtbkiXLkqx6+7n3nrJl5v0xM7uze84tKraM8+bzOdI5c/bs2bP3u7/9zvfXLAa89xOt2DvoJMR2KpBrK6/5t2HJNQexNCdXFwLRaXJCUSWhZE3VZ5NzoUplCFBB1G452luLOH3N4h+vXNr/F4Mjkw3nkjZM2K147JEfjo9WWncMjOWjap3GRV1i13UqK1655mNKYl4APEVLUlbb0Lm15WYq1sRcUGpwUyvCwRGGmz6lwW0l4CZWg+UGIcbCEukOwBAGsEUa5FnFIWO1m1nr5LmY2ZJPi+xGC46MBQdkdJ/psTTpDs8AOy69rIsGcRp/TobTGqXghFEpizPp6YwYrAi45tIqPnhdGXPaAyCKDA9nEmIr50JACEQC8DngCyDgBIGQXk/tsg8NL2bsvhem6z7JPzUf+ncSAngORX+PFy2YW9hx73d/MN7dUZwZ4NpKTE5UriO08ETEWeIyJckC05T7zEwcs5cjzSwqs6pJim+rbJzEoRMqRUXq3ZEF/PPdBdzxXW25aRNKkqYmjvJUWgrIzTyWKeDS5vKa2X8o5dzJgN7kM0djyLP1Q1KxJyDp1ymHjwY1Sbn1NT+HwcUTdz9pAnLd3CoBtwS7iluJKKwQ+O3LK3jLVZOwokiBPGoCcv2QFKIpyOPYlOS5GZfCjbgV072fOgcAbIuiva34RGVy8rqpzndTgK/feAkICaPFSxaKQl42WdUaa6J8GCWMMxq3GURFFadudOJExsWgZD9igjsCJSEo4yAWcN+DOdx+Xx71OCIwE/4ag5sk1ESDGyYdMbN0dOWlrJOqEeRAFsyGLqAVAZObz95oTzuZDsYiBuiJAnBjMJZukBoHYnEjlsWsWKu6t3EdmCVYAnrVPYLreU7hRAKvu6yCSzdVQSIZn9Ic5NqSc3AVu1IXKsx1GpCbQVhxIgWH8VCJ1xCyJ09I0D9/oajW/Og3L7+06fm1MMVYd9oGBEHt9vHh7SsGB4cLccB/3PcmKXpJFR1hKVe78XwmD6W+CFLgjsAsDmoJfOsnOfzFJ1rx1G5XempSWTkm2BPVJGkalS4Dod3zMdBjfIp0I1eNXQ3meNGZ4SlNAJ0W0Gaw3BlMZ5hJsl0sKzSJT4nLNZgJyiL1f6yHq9gSApn6TlSvSy6kgsLBmuj7QATZq2ftEh8fvmEMN1Lgv3+Slyd0Wk4OCFD4im+L2JtJklWkikchAKI4NU5+J5D8bkJk5hUBgWMBnZ2dkxvW/8btuZw35TmmU73R3jlX/GLL1o8Td9nQ4Kicsy0OR7XAtqwoLuWg24YwZqgkTSx3NhUtBnccLWiAm3FQW+CbD+Twnk+24Kln3SQb3qQjlKasNyOqG7FBSRJaImINecokBmTnSFNMZ0F8XNzbBHKKh5OEfyMDajP6DkhbZ4GkeVVssamKJMzMNynLHIk0XYkUH+eCgfsMqxeEuPX6Ml55fkXmjs1IV2QSh89luK1v0JXQtORCWWqRhN7K9DQiKU4EBJFceLeVKC4+b/XQ/r3bP75oQb+Y6pxa053whYvXoloZx+DBrSh4oyh4IRwnil3xpleSpVQRXbQnDW6a9VCmXqctN7EEvnl/Dn/5qRb86hlPgptm6UgS4w0iHSgpSRBNEohhcHAYNARNwG2COCMdmu83xIUbSsvUaE42MWVC+dpUUKCoSGKd4zgVkIw1F3Hwko461OoKEWaNFZ3xQxXDl1kJ0rMp72VcvZZcnsVeSAIAAbB2UYAPvb0MIYBvP5CXB56y5KIh7kSAIgTiZGaSteQ8yRQSlKjALVU5VqWlRVwuswkrYtnS5Whra5n2NE8L8O6evvrEyPjbzji142vM31OgVF5dghNwJLWdKTH1bRGDN5WNozl3nKnDk6Ap7aUkEQjjgAX894M5vPeTLXhSW25qUhJDOVElyAhFTE3s2HI3AXU2YrCZStLk/wb8GnETzUA9ay6uUWyAPftelsoIXUMQmXISMBQVYlIU5cYXFERwA+QqujCeo6qalflt6pKjAlFkHJQPnLoowK3Xl8EF8J0Hc4n+HYNc/S4D6CbIY++nFrspYHGCkIi4VQrVQVxq4RlwAnCO5Sv7JsereNuK5b316U4vnfZNcYTP6VvwaGnOOeWfbp+A7Q6io2USti3LE5uJwilwp0JcjTomhBvvh2lwKykQFnDPTz3c+LFWPLnbS+JLyNTWmyhA61iTOECKGtQkA+C05zJTczDGL8lcAAkxjylJ1pKnCGyGyGcw3QDoDMqzPDxx6mRKdyBRU3gsr2UWlUbGTzMZMdU5IqOw6HkhVIdlbknq4lOsWRjg7/+sjJdvqoFFjUkSceJETFskXdGJE3UuQWsmTvBM4kTIgWpEcGiSYBKTOHf9KP7wd88pL1286NH9h4c5phnTAtz2emC7bYOPPsWveeLgpcF/fC8PWZNL89hM8JQJ5jiWxLTcRqKC8VrPCUbwg8dcvOsjLXhqj2NYblM5SXNuUJIOpCLytsRU5SWaAbqZuJACc1YGbAJY06o3MpBMrAWavZhhNGje6YtAZB6m5q2tNzIXAjcvhlS2D01KT3AD9ArowuThgsXSodDP9cMnWLMwwEfeOYaLfqMGxg1gC1NpSdLfIFR2kJIQ61zyc5OTZ7N9AAIGH68/t4y/eeu64NQlE9d0dbYMLpzfPe0pnRbghVwO23bswXlnrth/1YVnPuPQFdi2uxt+KJlNKu4kBrWhhbMw9kimC2KaYA9BWQRhEdz3iIvr/28rduzJWm4T3MZzFa7qkExVWLOsQpPiPWmKkoA+naqWjh5sZozjrB5ydDieBtsNFCUBawJ+LQ9CZDl44tbm5oLT1MN5xhEUV8Qy6qekHEJJPme8CI0lRNlpmfsUK+YH+OS7x3Dp+hpYrJOHaEh9EwrkKgUuUBKir2qvRIKo9DdZT1xf6HmLY3UvRVdxGQJ6wTOw1u0fG9kLQtxjBzgAODbD4X2P7unt4H90/vqVCAP5Z05Hrok4cCdblIcxw1Izo9qrKq3GbA5hEXz/UQ83fLgNO/aqdDPabCFpyIEK3NoVH0uCxIgEpCYHF7NaVJrWmTTZttkCM/6/qQk/CoQ3AXzynKTDafVrpGlK4uxpoqwYuri8S5jeTF3rUG9jgD5lybV1N0HOJMjnBfjou8Zw8foaaMQBvwnIeSQtuaGVhxrkCtzcDCyDpCtyMRoh37Yczx4I/ugb335ojxDTLiEBzLDIBIClS+bDr1dgO7mDB54V9w/ZD5/fVjiCIHRR921VPkAnDIiUtW5cXEaJ3k0iMCfC3mGGh7bkcPPnStixpwm46fTgTundWusmzQHdaMXFlODVFlufWxgWfWoEi9hmNM0RmALTcexz6s1ELTE3VmFJKdkw5uVETuo1aJzlIyAjCvW8yvzRyomIa44DSbtiDnC5eOeQDTtJHDti/K8GhcTrygUBPv6uMbzvHzke3uJh75ADOFLRVmGPkNWM1XMiAGrFRT8pCCyVJaYrE1dCgqFJH6VSCcuWr7z/kovOOTg5WUWxmJ8R4DNacABw3Dy2bf/JTh/5jz9XWY1vPSRwcNCGH9qIIv0H1R2GVSczK0ye60KYynIzIuO5dxy08YFPt+LP/r4V26cEN8uAW7rhk9xKYcSaJBVgs4XrpyxYr4GNzPtofB8maLPWHekLI9l89uY8ttAmDzf17gzH1oBv7s5vQk8arHqapojUopMmGfjKkkcZS86bWHLhU6ycH+ATN47ir98+huX9dUmyU4vNQPHxAOA+EPkADxFyIT2e6rdZVMBlQH9HhJedVcabr12Kvr78xx94+MGdswE3MAsLrkeZLwF1So8O1Wt37Rvyr2biWaxeHKKUr8F1oHpQyjQyi4WGBKjrqSQWnHnAzgMWPvDZFtz5vTxqEUsvKI263akAKmqGvzbXu81226kEguziUltvU1GJ8Uia0BZhXAkGhJusKHUuNhrA3gTUare6vFm2/mRTD6cBVG2xEVtnvZiU0XhyTmvhsvqsPkaudW+q+DuXCRmcy9OtoxApp9Kwc+N3TGHJAYCGQG97hDdcUYFrC7z/Uy3YdcAGXPULuPoQidTdOYL0WzrwYaFOCPKQSSktnsDSOcDvXLkO51+w6q5SZ/+jwPisjcasAb5hzVw8t3f/nmsu2/iOe4Kn2eTY0FW+PwJSkOC2WQjbCmBbvuxkRiIZ/qpiIGPFxQZ27bdx82dLEtxg0v1OmtGSmcGtA6lMcJt9LBvr+s1S984ALS7zq1834+EzoXm6MZUWDhPICsGkEfBcqDbbRLvsTSkxaSpLFb+VpSdIzEgkWCnAJd3k2v/PKUA5BJd1F1M6+TQgF3XAtTiuubQKCODmz7TgmYMALCF3QghUd1i5Ax4CNIJgHmrURj2SV7xtcdhWHgeGe+8udV70jqGBgb1dPUtnfVpnRVH0mLegHwf2/2zv6WectnX+vA44Vh2OHcKxAuS8OnJuFbZdBbN9EFseMOwIzOYStx7BswM23veZEu64T4HbomlgU7sJ554a3GZMNyEC2WI+ptyXStqFwcs1qBVyGxahGrTNlBT977SgPgbEi4SymKBPvJsJZdGINxehsuqsSXcMqqJfw4gwNAoFpSRDTVeEDsgy3fjN6YqMQGWIQgpPCFz7sipuvq6MhT2BXHjyCCSMwCIftqjDFlXYfBI2nwANJhH6ASZCoBoSTFQ5Su09WLv2tK0/vv+RvV09PUd1GmdtwfXo7OxBvmXBrbz21JL62N7X5Z39KOYnMTBawz2PMtz+w04wS1qaIOC4YmMNr7moivnzIjyxxcFn7sjja9/LwyfZkNesFDhbcIuElpigNKVCZMBt8m8Df/oiyOIyDfhGMDdcDEcBYtMaJ3sTqbm0egLJr9UCLKYsmp4QFVCl2izEVpwYXk9tuQ3rS6mI98GV5aYU4JyrbRJLHvfj0cdjWHJhWHJGgSgEHIvjdS+rAhz49B0F/GqbjXnzIrzm4hquWF+DH8gLjlkEt/+wgG893IYDw+0YgoW5XZ2YP3/h7Rs3nHbrjp3PHS1cj02+PfjMf4FafXl/5N/vpWLnefsGJvDuT7fi59tbUOGO+iMEEGEdnvCxcmkdF5wV4Kv3ehgtMwQwMnFi65213CwtBc4A7mycN4uzj5o7e9JzmWTi1OvsPIn7weg5xszyETq52Eg+Vp+J3zey+s2yyXHJCnXscekK/RsZjNgfPZcuWtRQIi/TKiZdWSxTpyY1bxZp4pnXZny/GWdkxvcnMf2UhKCWQEAIRsoMX703hwvP8rFyiQ83IghDFxGXttYXIX6+g+Kdn+zCgcFuLF8474H3vfVlv/nMc8OVt73pyqPG6lFbcADoW/JbKA/+pOJ61/i3fe6f8G/3FnBopAPMc5Cn0sVaDwIgEmDUxznrAthMYHScIoAu05uhJica3BnLLa27aM6/4wdpWDOmlBBz0WhSm4zMd0xWw+QgWS6u5+L3VEIv0fKgKQ2asSmJVU9ZcbXPmKrwpOGartmTcOtGS05VN7fYcguiWg6qfei7g56hFIgi2BbQXuIIIoIHn7CxfKEPLmxMVguo1j1wQcFohDMW1/CVvxrA/U/lMW/p5X5E6DGB+5gBDgDj0amIOH9kkl25qVJ7KNdVFGhxBRwqUI8IDlcZutpDXLVpAn/1ljIiQbD55w4e22ZmvJugPj5w63LHqbiThrIKaODXDSOrnqDxgmj2mRM5EicPSZEVk3/DADNiECvU6vT9WFUxqAxIQ/0RvU8NbEoSoSMN8kQfT4Fchv+lF5oUUjsXAkQweWzg+MUOB7d9qYhIENR8it/cyNFi5TFalr2hLMbhuT46W3y8+dWbqqxtySOpAipHOY4Z4P29LRgem7zpXb//MjF88OA7n/rVdq+Ut+Cp0gKntvp44xUTuPC0OoouQ0BD/N7lNfzsyRxESiGZGtwuMQr1kEyEYMZyE/VenDtqgNvM3sny72YqignaeK7BGTMN4T4WwDe5E2hUx7K31reJiK2vrtFNUoBOODkhWopMrDg00NXnZEk4uYM4Z6GJJY+bA6s7AU0VElSSX8PP0ln7FIJy/Nu9HsqTNupw8N5/LuE7D3P8waU5tOeLAAQ8J4Jj1SDsU2vt+Ws+KoT7V5SWjhWmxw5wAOhoLfDPfeEbN5++vDvIY/w9w0NHnFLBQilv4fQVAqv7WxEEBDU6CSc3iZ42fbaM8NeUYycJnHKoMMJejRreOqsfJiVJLHdDHRN9kpG23I0LzQRZ5rbNMEsyiG9q1I9mwSlmMafAnHqfIAV0Oa2svqGBA0oWRPJatwSUUapSKdGAbWbJRbwApxCEg1KtLyI5Lsob5EJd+5AqfXFgVEYjws2BkwK27ya450GK05Y6aCkAxXyIOb1z/ZAsvG3Pzgf/dtnaq6eNFpxpHBfAAYCR0J83t/sWwiv+c3blA7YV0t4OhkLOxsh4Ho7jw7bqID7Fs4c0PdEdF5L4bmKAOx1b0gjuuPsC0uGwphdTA7kh9rsJV86CvyGmJJ4zLwLtulcgnwLN08WFp4KrTOttWONmll002xYSvERbaCJLLwjjDqRd94B8X/NwDqFALu98gJF9xgFO1H6pADiPnUEN6grQoKTIkyArCDNOsWhOCNsGQmqj6FH0FDiqlQh7D4Zob2Xo7SzwOfPmfsArzPnwWLnsHy8+j53cqPGWP/htdLXS6tlnrLrr/HPOEN1tQGdrhFI+gGVF8dU7MAJ89QcFCEtr3Q5A7BS4XQq4ynLrEsfaFZ90iEisdlwWzgQ3DH2bJNY7xqkJ9Awvz7rik1fGtpnp1N8xu0g9ytEQTWjMx++Lxm1NLm1m96QL6yf6N9Dotm/sDmFGGmYL6qcfsQs/oogiPZdo4lFkIeIWRGDhdy6uobMjgI4LDyJgosYxNBbg8GAdvf1rRal9+V37DovqmRtefbzwPH6AA8CCBfOxZOmap1euXHbdhvVn8PZSgFK+jrxbh+vUQdw6vnhPDtt25wHLBagDMNnpjFJZN9CjMuTV7FmZFMo0LThSHDyJHDQUkyYqiZ4zsZml1NnnzajKsSM4/UExzZYp8IoptteLSzS7qEhmPyRZjAqzvkg2XgXp2BSu48PTzqAoBW4dbZi0KpQOH5UcEclWKWFoww8crFok8KaXj8MN66iFHGWfoFwByhWBU9edxectWHLdmlPWPN3b238ioHliAL58xSo4dNRffcqZny8V6Z9397SgmJ9ES7GKYnEST+wk+M/NbQhZAbBygOWAUgabAh6TbfxcKlRhzKQ4pga3dsObNCVdxbaJQwdyYYkm1tqE29SWO43LRg6e3eYokS+meCmm2T4VmJJ8X7bsm/ZkmgkUQGLFdb0UTAVyA9gp6616X+r5KGPRI/MRMUSRLBwURjaC0EHd98BDD6+9oIrTlo0iqlQwUAWOlDmKrZ2IYP35xg1nf/7ZPYP+6tWrTwQ0j5+D69HTtwwT5YPR8rWv2FUZbhuPxvaUxsdHcP9Wig99pRfb9rWBuB4YZbCozptUVhgG7TBpCBUpfTtV0wSN4a9Qc5gqkAppnp2NJJxJy561RHgMWCfi6D6T/Xz8XCTHqYFORCI2EiRWXcqFCdEXIFI+JFqgpKBcnvMo/htoFUfSQyEEBOUQVG4Lohg9EaoDnOzSF1Gd7sawbG4Nn3rnGG65nWPz1nbAm4uXX37h+KsvP2vX3n2Ho1PXrjj2k5EZJwzgAGDZObjO4bvzfRveHpWGP/qRj97d8cnbCWqsHY5nw2NS0zatqAagdrVrL6EJ9Ph9Mj0N0VbbtMTNJMCZ8DcbfJJp3kjqmMxiaHxNJRM22VwQDUhjXi8wp/ycLnGfQDzpsyOg27pyRXmkDKjojAK2LJIp/05cZ9lTgHAqI9RVFVmqpEF5o1GXk0pYZoEDP7CxtL+Oz7xrFHfcX8AoLhi+/OKzb9hxoHz30r5jlwSbjRMKcC/XBgAYHx/6cr5wldXR33pr77wHu8fHJlC0OWy9Qle5d6Zfolnme1b+a1puLQPsZrHd8TAsG01NkewmRzXIDK+PaYjmU7Ei0kyGjC8sEdMYAQ26xn3rHptxjxwV40KE6q3J9e7kxRPr6lR2sxZExNGiVFlyKksvKOVEXZBGtzcBgFEX1ZqDYmkO3vzaywZ894L/DeF/ef0p807EmUuNEwpwPUqlTgwNT/zrW6+9hA4dGfu7e773ULdnCVAma1vUAqAeqhIUyFjyDLizMSNpqy3SYFbfn0pSyLzfzJJPadmbKSUzvD/N9FEPMRuL3kBJ0nTdVBPjoHN1ERCh5UJlw5XpjiVQBXQQ7UjSdwkRW++kiqy05ABXF5+mRgQ8IvBDC/XAQhhK+uI5NnIdmwZY6VXv9QT/V8ftPEFnLT3Y8e+i+bjt1g+ha9GGn+c8e8BjtQtEUM4VPXkmaoG04CAksdA0AXJcbo0ai0tDHqRG/5w4qWGK5IZUhnxmzoxBaaaXa86ZuPzN7UhmjsRz1Hiu52nqNZo+pjoGIPPeVCEIqd9LGubSvgDzFiAvf6m0UEMzN0RWQ2pMri7jQop3J7+AiMSpBEEQRhZGx3MYKbsYn2TIlxYMd3T23Vgbf/pfW7vPer5geGJUlKnGu9/2KrQ41S+dvmb+9WetWzQ+v4dh+QKKgISoRiTmc/GiEemIP62aJA9dzTZT94Q2oS8Z9WMmqzrjGo9Mv90LEaMy+4NFForpj8eqC4kVlaQzcmO9lCgy9HAute7I1L8NZSWOaxHJEThOBNAJ7NjL8fReCjhLxuEsuX7fIfql3iWve55OkhzPC0UxR0uBcdDc7W0lFp6yxPpiUN/i7RzhOLKjA0U7qeyv/iqxOpLSvalIWThqgrcJF22Q3JptQMwgPb0Em3oc18LzKMZxiCnxMWQp23QHl1Vg5BNjZaLohlB0RSpZmttz9XkKAh57UfV3Rao0XDEX4Ml9Vdz7aBVnn7K05hbm/C/bab1zfLJ2XG742Yzn1YIDwO++/lr0d/GoGp5x57lneW/o6O2u7Tlood0TyNtS7xaQ6xIhTBqCOCbatOQWzVr1RgueytIh0wNPTPP6qMCW2fj5Mt7ZkVpD6xWofsNQrBoO13D8mIXzecqhkzxCTmRtwEg6d6KIKL1bOXvUnSCO6AQQRQy1uoPxSQ997cDy5XNqo2H7G85c3n/nU7snoksue/Xzfn6edwsOABde+hr4A38f2V1bvv7Nhy74/XPWDH3huT1787ZFMTQJHK7KHpYFW+VtssTJwwxuTenUVjuW5/TfmCDlAIkXYoaFmRGERiyIuQ/jK5/3MdO9RZCZjyNZYCf7iePYYQRsaYcPjHOpt4W03roZLVUKDFMBWoRAdeoQcOwQhHKUh22MlHOgxEFv77LKqy7sftOFlyz+epXvEJ95/1tegLP3AgEcAJzuG/F3H/2KKIa/+toZq5ZbvS34zOTYkdbLF5bxtUcCPPVsK3KWXHRaVBbdt2gm7BWmVc78WYXskqsrO2XT0TWw408Zd1Mjl/eFM71TjKP9+kQpSoBmrjvMEFf9furDQp+ApJ6h/j/1PcZilSvZkHICTgWE6vBuMdnLyXNreHJfgK//qB1r5rpYtnTOGLf6/uSxx8e+tnPLc1h22gsDbuB5VFGaje/fcyde/ltvxrKFPVu7OjoOnLKq74INqw7le1r24UdbSsgxhqIr4NkCtmqeFtMSQsBUyhcjJEVjpLIg1QoAacs01cHoCyWmM/KJqseezvKZ9nlaRckqKoQkHY/NrKHpVBA6yznTP5DdJqmFnvUdpOPitVKiO0M0FOQ025/wqWNXAAJKBVwnAmMV3PoVG7v2L8Sl554xNGdO/w2VoPjvS/s51m14wwsJuRfOguvxjre/CQBQq4x+iRDHqo1atzz3wGi34AIFVyDvCng2oJuqmmDQuEy515FwyLgYpaopna3ACqgFqkFTYwOmnRj6O452kBk+aLw3E7cXs9gmtcusVKRicJIKuiL+30yq1r+ZxOdPKyaqDUp8nxRpQwB1Z4gvVoEwlIspx+ZwHYqz1xThtF8wcOUV576nHgRf6upqP5azetzjBQe4Hl6+DaPlsX8hxctIrsv7u0W9m7vzfAytBQbHonEfxIZ8xyYLSOktk7mgQsXc63rSZicEoihMHPMsEsBrkJsu82YgmxX444tx5q2bxoPPsG36WjKpiVEGGkBSj0aB22iyBXWOiG5/Ah1ARRFFsj9OHEWg/BVp6Tw5AikTApUahR9EKOTn4s/eeMGA077pvUD0LyV2csANnESAA0BbSysGR2uf//1XXRgubPc+8tBP7m+PgjKiSKA8GcIPMpzRAIFu7xxbcS7bW3AuEERJ4yLdZg9EBhYRAlUmAfFClBOAKXNmJu+SzHc2eXnCRtaBMqMX1ZgjzV4bUmFc4trob6q/RsaiUIQEyuNIEIaSnsSyLRXyjtpMdyUCQUAxUiaIOMPiBV0o9GwYcVrPvpGCfpGwIk7mOKkAB4CuNg9R4H/5ykvPHua1I0s7W8PbfnD/T+w9hxlaclSlnyWdCgDpyWNmKQYFVBYCUSTAuQykDyOSWlwKQpT1FimQN1hwtUkzRB2vTt2wsyy9mOZ7zU2yR5Lc1YRBS8x26ulyEvoi0NJeEFKEnKBWpwhCEt/dZOMxaQB0twVNBbUmXszVsW1fhMVLNwX5NvcvOvo27IpE7tuMnXR4nXyAAwCzHV4e3HH361//CmfXjq2VvYPhp59+7lfEYjVqWRQCRN42I+VWUCfesghsRmExuZALI4GqH6Jc46gFOljIiCfX6VQ6dkJxT2KAO5bImoGsiVQ45dA0ZZrtY0YkECcNz2a3qajBrHSpwQ21ADeAzYyaJ7ozByEAt6UkOzLuYGyCIoykIbCYgGMZFEidpyiSmrgAASUc7a0uv/SiU4SVX/qnnZ1rvvDkjoP++jNPXMjr8YwXBcABoKVrBR7bstUvFHq+3NHl/+ics4PfHh0e+JuBgcMghKBSEwgUJ9f0xGYUnkvhOgyeQ+A6wMK5dQz9vIodu4soOTINzmaAHdfogOzZTtP9bVI6Ooz0LyKgmz01A2vjHJnh9QkaqXVJhh/D4ORIVBUNbsvisFgEi0WwrQie62PrbopHn7JBBIHjUHgOgefIPVIKWELFfxPADwkmawRhGKGvrxf51s7/s2L5wq95xZ59YbDP71219nlGy+zHiwbgAHD2aWsBoPrV//z6jr55S25ZMLfNGS+33/T0rr1sdHwClZqKF1cKi20RuA5DMUfRUhDobIuwcmEFa1cdwh/8Qx+OVErodAnySZRzskgVST/0BOSqwOVUZLfZEEhXSzCkx+mseHzBmAvbaax400PKHipBip4k0ZmJFbcYh0UlsB07QMGro+JP4Nb/7MTwkMCauT46SgzFggWAwbLkwTEGuI60+kEgUPMdtHUuiFrae/72jNMX3vLEtsPR+RfNvijmCzVeVADX43eufQ2+8993R1dcee37BoeGra1bNv/5l77xmLtr+yhKLofFKODKkmmeQ1DIC7SVInS01FHwQsxzODyMYzjIY9KyYFGp0VIhF56ESkoQF7+BQU2OdhjyJclMzsZ2m5RoKnlwNrQoKY1h6tzNQM5BmSytZrEIObeGyaCOA0MeojrB6EQkHWyMwLIIXEd2fbAtjmLeR3tLHY7Xhda5G+uXXHjuP7S1d7zv29+6G6945VUvGD6OZrwoAQ4AV1x5FcbKE2gpVW86/8ILqW/3b9r2kbtozuWbJqrDVqlAYVsUrkNQ8DiK+RDFfADXCRHUBYjg4CJCKCyj5zkBVxo5Vbov5SIOkzbd8rMZ08qIM3BwDeyMb6rJ/o7iqiPpz8UOHyLSNMUEu+LiIALVgGC8BngOh+NEcB2KIKQQQsCiPtpa8+GC/uihpR2v5DWc+tC+AX5TZXIC+cLJVUqmGy9agANAa0t84t77qc/fhT+8+pxSeXzic3v37Lk2rA1SSiJ4LkXe4yjmQhQ8H3mvhoj4MmOfsMSxIQxerReXAnFsRTOn0KzssGgEJ9GhBIYengKySIcIiCb8fzYja/ET650FdEJb4rDfOLiKgkcEou5jvC4wUafI1wRyrkCuHqFWByjz0NvXy7v75t0ROYU/9scGxheuaj15wDiK8aIGuDne/par8cSTz4y7nnf9wQNLdz75q1+utcnE1cHkLhQ8gbwXopivw7YruO9BB+VaEbbNkKNJoaDYtQyRrs0npgAVyVIPJJzdcDLpbdOufw3sTBc2c0GbkSeFyZeyh5I9kGncnVppMamKttr6jsAFRaii/fKuj4vOGsO//7CEkZqHoiP9EEQEWLl8Ffrmtd21eOWpW7t7ej9Wr9fHW9qXnGw4zHr82gAcAE5dswQABg8c2P/Xa1cvW3jo4NMoD3ZcXRn9JVx7BKV8GV/9AXDLV3rhh0W0e0CeSXksXscpqhJRobx4KrY5Ez3XQDXUy5QDKOtl1b5LhcZs7IoeZtSjli3jwj3mD56K5gg9mbTnlp9NJL244pchE2orLoQMexXCghA5lPICN/3eBMCO4Kv3zUWBcvR0FLFx41qcfcaqu9atXX1DeXxij5s/MbVKXsjxPGlYz/+YnBgGZday0cFn1oXB5Duo/7MLjgxsxuveT3FgoAc9JYq8xWXJAy7b0+l4c0qkxmtTGdBlMwGbAY4FWIyAqXDduCY40UFdJAEPTWqFS6cTAWMUjOnnSa3w2PrGkY0GEPU+dGAZA5iKpJRzKmQ4VUJDqONJ6ohbTNYKl+oIh21xWEz+z6iUBSkVIJRDqOI9EZfNBVzHR2frBHYfGsUNn12BM9dswivOX765pZT/2Cmrl/wyCMKdvT1dJ/tPfkzj18qCm6NQ7ACAnUKInQC2ThwZ7ds+vPofz9+wZ9njj2xlHvXhWJKSTNQJfJ8giCRAbCo9cBEkaDgh0P3UswXxU+A0XdwZ3i6AmKLoQvdMFbvXciAH4hgbnSEjFD/RF44O222WV5plKACJG0lxatY40SWmkwL1jKmepUQgBEWtzjBZcxGGgGXZqNZzWLT43OizH1y786e/zL/1ysvPPQhgB5mNhPMiHr/eR2+MH/98FGEULRwd2tPfXaJ33PPdH7cMDhwsDAxNYPcAsK9MEHCKgi1pi8OECsUVcC3AcwRyDoFrA7YlrXJWZ6Y0WTzqi0Bba4sRWBaFzQhsi8KyaBzuq/l/EAFBKBBGPAZy/FlGYNvKKWXJcGEWx8Sr+BF9AWUydWSXCdmwyXMi5NwQnhvCsSMJbMphs0j2U7J9RJzi8FArdj1XBGgLFszvnVx5ynllz6lcU+jo308I20PIiS/hcDLGr60Fz44Lz2iDEHwP0LFvZHT8lEKObKQE/7Rn97bwew9v6TgwvLf0+FMOBicKsFzAYbIfkh9J3uzaEjQWBWxFLxKOK79DO4MgSFximEDSBKEdR4TIYqJM0g3LkiCXsdZAncveRTrWQwgKAhUjo+NmiFHkX1UQSAKokmB3AbWegNL3CVGtACE9lE4AQCcoRHCdOibrVTy+00VrSx86+tePLliwcMKxyR+3di7+qe0Ux7gAp7/mVtscLxmAAwCRLkU+MHBoZMmi/ntHR8dXfOG7367fcONN76aV77/xH+/aFXz9fm+VywPPiSbg5Dl8RBge9FD0CCwGuA6B51BQSuAHHEGoOgUjscRC8Q2uwkwJlzxYKD6hebVjy4dtKZBWgOGxCBOVSHpi7SQEgDGqLpLk7mAxEZevMx1Rms5EXMaF1EOZEALIeGwCgZZCDYdHqgjCHPKOh1yHDbBc7fFn+7dtO3y6+NOXv8KhdvuHH3/gv7546m9cIgaHJvncuSe2qtSLYbykAK5Hd/ccQFLeyoEDuwBi3yZC67ae3o3sT1/f+ulKpbJi7PCe8+Z37WUD4wfx+bst1HwBmzLkPQvFPIPFCEbHQ0xUQxDIwC6qyHQYAWEEgAC2UDyekYR2ELV4tYGcy1HwONpKAUYmAjy2naBcpmgrADmPxjRFp9oRA9y2oh0gBEEok38BWdbOsjhsAJNVGapqMYJIENhWBF4IwVgd3/+FjcDvwxXnzY9ae3sesBxvx/rTytc9uV9EzHJgO47YcPFr0VJ4ScIAwEsU4OaYO3cpkKhv4ZGB0T9mltNenRz50Oj+7zj7B6rRzsO9Z9LAOcsVQ/BsHx0tFHN7IoxXRnHnjwpozREULcCxCRilODTC4fscjAGeI0FpMZGE5io1xLUE8i5HSyFEf/ckLG8MB8oljA0XpHRJOBglsC0Zxw4VusqogG0JuA5Hzo1gMYFqneHgkBNH+OVdjmK+hh/8gmB8zEZnC0FnG0M+l0eprQsjtfafPXskeHzR3LVsxbrL/O7ejr/0a/5IR7900Hzw3Sf7L/PCjJc8wLOjp7sNAEYA/AkAfOUbP8QrL8IFIgoud2j1GgJ/ZdGtosV+FI/s8HFoLI8oCGBTgs7WHOb1WnAL49j8SxslW51EJjm2UFKKXPTJ+A3P5cjnApTyNZT9CqphDqM1gq46h2sDjiMQRSJFP5haaOa8CK0FHzmvih9vcXDwsIU5nUDO8eFaVXS2VuDmGZ4+0INN69dg7pwSutpz2zv7nDtyOfbdW94lNvctehne/56TfdZP3vgfB/DseP2rLwaAzaOjo5sB3B9F4VLuD/JDzzzBR/x1i3/36sXv2bdnL/o6beTZCJb3H8HKJQdx5wNdqDs52EzAsQgcWyCKJElPrLDkxI4dSUWDRhBCwA8J6iFBEAJRKMCFKkMsdJKC1LA9J0BrcRKWNYC7HmqFFzF0d/Zg3oIF6GydQFdPH37r0r23PH1I7D733HPo/Lmd1LKsXQDubWtvP9mn9kUx/scDXI+2tjYAuFe/fu65I7h+ldu2/ZkDD23+KUNniQWrlqx9Z19X/TLCRnH9H+bwje8+ASLGkM8ROA6B7TBYFsCjEGEoQBCCUR+U1AHUwXkdwvcR1ANUqhFcCjiMIOfaCAIAeQ+FvIWcx2HZEfK5CG3tbSh0XoI3vrYIh+TR323d19NR+UhLoWoXOtbhnHmv3nzHpvpovnB0La7/p4z/D/Apxrx5PQAwCuCbADA8dAgQ2ObYfq9AwC8+D/jew8+CTlTguhS2Dfh+EJxz8YabK5XJVxIEQXdbhLZSANcN4ZSq6MA4Nq5vw4qREroLHJ4DtBaAtpKFQs61W0qFb40ObLnZtm2bMgrLYnBcD4X29bh4Yw4gNi147DAEdvf3953sU/RrMV46gueLYPzyFw+DENJ78ODhVs7rorNVoKUQwLYilAo+Ricn8R8/LmK8XEBHjsNmQClP0FakyHke6erqHhMCh887b9PJ/ikvmfH/AIbgb3TnmgQAAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjI1OjMzKzAwOjAwor6tTAAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzoyNTozMyswMDowMNPjFfAAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 185369000
{'hecke_orbit_code': 31525197425148688, 'n': 1, 'trace_an': 1}
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id: 185369001
{'hecke_orbit_code': 31525197425148688, 'n': 2, 'trace_an': 0}
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id: 185369002
{'hecke_orbit_code': 31525197425148688, 'n': 3, 'trace_an': 1}
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id: 185369003
{'hecke_orbit_code': 31525197425148688, 'n': 4, 'trace_an': 0}
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id: 185369004
{'hecke_orbit_code': 31525197425148688, 'n': 5, 'trace_an': -1}
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id: 185369005
{'hecke_orbit_code': 31525197425148688, 'n': 6, 'trace_an': 0}
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id: 185369006
{'hecke_orbit_code': 31525197425148688, 'n': 7, 'trace_an': 0}
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id: 185369007
{'hecke_orbit_code': 31525197425148688, 'n': 8, 'trace_an': 0}
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id: 185369008
{'hecke_orbit_code': 31525197425148688, 'n': 9, 'trace_an': -2}
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id: 185369009
{'hecke_orbit_code': 31525197425148688, 'n': 10, 'trace_an': 0}
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id: 185369010
{'hecke_orbit_code': 31525197425148688, 'n': 11, 'trace_an': -3}
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id: 185369011
{'hecke_orbit_code': 31525197425148688, 'n': 12, 'trace_an': 0}
-
id: 185369012
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