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mf_newforms • Show schema
Hide schema
{'Nk2': 184, 'analytic_conductor': 0.3673118492978898, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 23, 'char_degree': 10, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 11, 'char_parity': 1, 'char_values': [46, 11, [5], [8]], 'cm_discs': [], 'conrey_index': 3, 'conrey_indexes': [3, 9, 13, 25, 27, 29, 31, 35, 39, 41], 'dim': 10, 'field_disc': -2357947691, 'field_disc_factorization': [[-1, 1], [11, 9]], 'field_poly': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 22, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 3, 9, 16, 4, 1, 25, -2, 5, 4, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 137472507950, 'hecke_ring_generator_nbound': 2, '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, 23, 3, 1, 11, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '46.2.c.a', 'level': 46, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 23], 'level_radical': 46, 'minimal_twist': '46.2.c.a', 'nf_label': '10.0.2357947691.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\zeta_{22}q^{2}+(-\\zeta_{22}+\\zeta_{22}^{4}-\\zeta_{22}^{7}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c11', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '46.2.c', 'trace_display': [-1, -4, -6, 3], 'trace_hash': 1177874645595109859, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.655', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.630', 'prec': 17}, {'__RealLiteral__': 0, 'data': '270.760', 'prec': 24}, {'__RealLiteral__': 0, 'data': '123.464', 'prec': 24}, {'__RealLiteral__': 0, 'data': '12854.379', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, 'traces': [10, -1, -4, -1, -6, -4, 3, -1, 9, -6, -12, 7, -14, 3, -13, -1, 15, 9, 2, 5, 1, 10, -1, -4, 13, -3, 26, 3, -8, 20, -21, -1, -15, -7, 7, -13, 28, -9, -12, -6, -31, -10, 11, -12, 10, -12, 18, 7, -24, 2, -17, 8, -21, -29, 5, 3, 19, -8, -5, -13, 37, 1, 17, -1, 37, 29, -13, 26, -15, 18, 49, 20, -8, 28, 8, -20, -8, 10, 8, 5, -11, 2, -7, 1, -42, 22, -21, -1, -13, -45, -24, -23, -40, -37, -10, -4, -32, -24, 20, 13, -14, 16, -16, 8, 6, 45, -20, 26, 0, 5, 13, -8, 18, -14, 49, -8, -17, 17, 21, -13, 43, -7, 41, 34, 9, -5, 26, -1, -22, -18, 11, -26, 38, -46, -53, -7, -6, -15, -52, 7, 6, -6, 41, -2, 40, 14, 36, -27, 37, -3, 24, 2, 41, 14, -27, 10, -48, -3, 48, 16, 14, 66, -87, -9, -24, -7, -47, 1, 37, -42, -7, -11, -9, 23, -39, -12, 57, -24, -4, -1, -6, 9, -94, -1, -30, 26, -40, -15, -1, 23, -38, -4, -73, 34, 16, 20, -11, -35, 31, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 1, 0, 0, -1, 0, -1], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, -1, 2, -1, 0, -1], [-1, 1, 0, 1, -1, 0, -1, 1, 0, 1], [0, 1, -1, 0, 1, 0, -1, 1, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, 2, 1, 1, -2, 1, -2, 1, 1, 2], [-1, 1, -1, 1, 0, 1, 0, -1, 0, 1], [-2, 1, -2, -1, -1, 1, 1, 2, -1, 2], [1, 0, 0, -1, 0, 0, 1, 0, 0, -1], [-1, -1, 1, 1, 0, -1, 1, 1, 1, -1], [0, 0, -1, 1, 0, -1, 0, 1, -1, 0], [-3, 2, -1, 2, -1, 2, -3, 0, -3, 3], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [2, -1, 0, 1, -1, 0, 1, -2, 0, -3], [2, -2, 0, -3, 1, 0, 1, 0, 1, -3], [1, -2, 3, -2, 1, 0, -1, -1, 1, 1], [1, 0, 0, 0, 0, -1, 0, -1, 2, -1], [1, -2, 1, 0, 1, -1, 1, -1, 1, -1], [2, 0, 1, 0, 3, -1, 1, -3, 0, -1], [1, -3, 2, -1, 0, -4, 0, -1, 1, 1], [-1, 0, -1, 1, 0, 1, -1, 0, -1, 1], [1, 0, 1, 0, 1, 1, -2, 2, -1, -1], [-1, 2, 0, 0, -2, 1, 0, 0, -2, 0], [5, -3, -1, -3, 5, 0, 5, -2, 2, -5], [0, 0, 0, 1, -1, 0, 1, 0, -1, 1], [0, -3, 2, 1, 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15], [0, -5, -1, 10, -9, 1, -9, 10, -1, -5], [2, -14, 5, -20, 5, -14, 2, 0, 6, -6], [14, -11, 14, 0, 8, -20, 11, -11, 20, -8], [-2, -7, 1, -7, -2, 0, -10, 2, -2, 10], [-3, 0, -4, 5, -4, 0, -3, 0, -6, 6], [0, -8, -1, 7, 6, 4, 6, 7, -1, -8], [16, 0, 11, -2, 1, -8, 8, -1, 2, -11], [3, -3, 0, -1, -4, 10, 9, 10, -4, -1], [-7, -3, -15, 8, -3, 3, -8, 15, 3, 7], [-8, 2, 5, 3, 5, 2, -8, 0, 6, -6], [-13, -1, -13, 0, 4, -5, -5, 5, 5, -4], [0, 3, -14, -2, 2, 14, -3, 0, 0, 1], [-4, 10, -10, 4, 0, 14, 0, 4, 0, 14], [-1, 1, 0, -3, -10, 6, 9, 6, -10, -3], [-7, 7, 0, 18, -10, 5, -6, 5, -10, 18], [12, 2, -2, -7, 7, -7, -2, 2, 12, 0], [13, -7, -3, 1, -1, 3, 7, -13, 0, 7], [-10, 1, 6, 1, -10, 0, -2, 4, -4, 2], [-7, -11, -7, 0, -6, 11, 2, -2, -11, 6], [-1, 1, 0, -6, 6, 0, -1, 1, 0, 4], [10, -11, 14, -7, -4, 4, 7, -14, 11, -10], [-4, -3, -2, 2, 3, 4, 0, -19, 8, -19], [0, 0, 8, 11, 12, -13, 13, -12, -11, -8], [-9, 2, -6, 6, -2, 9, 0, 2, -4, 2], [4, 3, 1, -10, 15, -10, 1, 3, 4, 0], [-7, -2, -13, -2, -7, 0, 0, -4, 4, 0], [2, -7, 1, -7, 2, 0, -3, 10, -10, 3], [-12, 16, -16, 7, -16, 16, -12, 0, -9, 9], [14, 5, 6, -4, 11, -4, 6, 5, 14, 0], [21, -12, 13, -13, 12, -21, 0, -10, 7, -10], [3, 2, 19, -19, -2, -3, 0, -1, -5, -1], [-11, 14, -13, 13, -13, 14, -11, 0, -19, 19], [-14, 12, 3, 10, -10, -3, -12, 14, 0, 4], [8, -1, 9, -2, 9, -9, 2, -9, 1, -8], [-4, 4, 0, -12, 1, -8, 8, -8, 1, -12], [-2, 2, 0, 6, 0, -9, 17, -9, 0, 6], [1, -17, 1, -8, 2, -2, 8, -1, 17, -1], [-10, 2, -9, 14, -14, 9, -2, 10, 0, 9], [4, -15, 11, -15, 4, 0, -18, -10, 10, 18], [8, -8, 8, 0, 19, -5, 0, 0, 5, -19], [8, 4, 6, -4, 5, -5, 4, -6, -4, -8], [5, -5, 0, -17, 1, 7, 1, 7, 1, -17], [-5, 0, -12, 10, -6, 16, -16, 6, -10, 12], [4, -12, 12, -12, 12, -4, 0, -18, 15, -18], [0, 29, -22, 18, -16, 14, -16, 18, -22, 29], [14, -1, 6, -6, 6, -1, 14, 0, -3, 3], [12, -6, 15, -6, 12, 0, 20, -16, 16, -20], [8, -15, 8, 0, 11, -13, 12, -12, 13, -11], [-15, 9, -9, 15, 0, 12, -14, 16, -14, 12], [-7, -12, 1, -1, 12, 7, 0, 4, -11, 4], [17, 0, -12, 12, -2, 7, -7, 2, -12, 12], [13, 4, -9, 9, -4, -13, 0, -7, -4, -7], [0, -10, 2, -16, 2, 0, 2, -16, 2, -10], [15, -14, 10, -20, 10, -14, 15, 0, 6, -6], [1, 17, -14, 15, -15, 14, -17, -1, 0, 7], [-4, 0, 1, -4, 4, -1, 0, 4, 0, -23], [23, -2, 2, -23, 0, -12, 17, -20, 17, -12], [-11, 11, -20, 0, -13, 0, -20, 11, -11, 0], [11, 0, 16, -8, 21, -15, 15, -21, 8, -16], [-9, 6, -3, 7, 13, -13, -7, 3, -6, 9], [-1, -7, -4, -7, -1, 0, 13, 14, -14, -13], [-21, 15, -7, 16, -16, 7, -15, 21, 0, 9], [0, -15, 18, -11, 12, -33, 12, -11, 18, -15], [-17, 5, -11, 11, -5, 17, 0, 13, 1, 13], [-4, 2, 7, -7, -2, 4, 0, 6, 2, 6], [-5, 13, -2, 5, -31, 5, -2, 13, -5, 0], [0, 7, -14, 6, -14, 7, 0, 0, 4, -4], [-3, -26, -3, 0, 2, 8, 1, -1, -8, -2], [-3, 18, -3, 0, -22, 21, -15, 15, -21, 22], [-17, 16, -16, 17, 0, 9, -14, -2, -14, 9], [0, 2, 14, -8, 16, -9, 16, -8, 14, 2], [5, -5, 0, 3, -15, 17, 12, 17, -15, 3], [-2, -1, 10, -9, 10, -1, -2, 0, 17, -17], [10, 0, 20, 0, 10, 0, 0, -11, 11, 0], [16, 4, -3, 11, -11, 3, -4, -16, 0, -2], [-12, -18, 9, -7, 8, -7, 9, -18, -12, 0], [7, -7, 0, 7, -2, -5, -18, -5, -2, 7], [19, 0, 13, -13, 6, 7, -7, -6, 13, -13], [-3, 0, -3, -8, -17, 6, -6, 17, 8, 3], [36, -29, 29, -30, 21, -21, 30, -29, 29, -36], [-4, 2, -4, 0, 11, -9, 16, -16, 9, -11], [-9, 14, -14, 15, -15, 14, -14, 9, 0, 17], [14, -10, -1, -2, -1, -10, 14, 0, -1, 1], [-19, 9, -4, 8, -1, 1, -8, 4, -9, 19], [-9, 24, -11, 11, -24, 9, 0, 24, -20, 24], [-14, 15, -28, 19, -22, 19, -28, 15, -14, 0], [0, 0, -9, 1, 9, -6, 9, 1, -9, 0], [-6, 2, -2, 6, 0, 13, -11, 5, -11, 13], [-4, -13, 13, 4, 0, -12, 6, -18, 6, -12], [0, 13, 16, -4, 2, 19, 2, -4, 16, 13], [-4, 0, -5, -22, 9, -7, 7, -9, 22, 5], [0, 18, -23, 11, 5, 10, 5, 11, -23, 18], [-17, 6, -8, -1, 1, 8, -6, 17, 0, -8], [11, 30, 11, 0, -2, 8, -10, 10, -8, 2], [-6, -17, 13, -17, -6, 0, 3, 3, -3, -3], [8, -1, 1, -8, 0, -19, 1, -5, 1, -19], [-23, 0, -7, 15, -10, -5, 5, 10, -15, 7], [-9, 9, 0, -25, -7, -2, -7, -2, -7, -25], [0, -5, 16, -1, 5, -5, 1, -16, 5, 0], [-3, -9, -17, -17, 17, 17, 9, 3, 0, 18], [11, 2, 11, 0, 21, -7, -4, 4, 7, -21], [18, -1, 24, -14, 24, -1, 18, 0, -2, 2]], 'char_orbit_index': 3, 'field_poly': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'hecke_orbit_code': 137472507950, 'hecke_ring_character_values': [[5, [0, -1, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 10, 'label': '46.2.c.a', 'level': 46, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 184, 'analytic_conductor': 0.3673118492978898, 'char_conductor': 23, 'char_degree': 10, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 11, 'char_parity': 1, 'char_values': [46, 11, [5], [8]], 'conrey_index': 3, 'cusp_dim': 40, 'dim': 20, 'eis_dim': 40, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 137472507950, 'hecke_orbit_dims': [10, 10], 'label': '46.2.c', 'level': 46, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 23], 'level_radical': 46, 'mf_dim': 80, 'mf_new_dim': 20, 'num_forms': 2, 'prim_orbit_index': 3, 'relative_dim': 2, 'sturm_bound': 12, 'trace_bound': 2, 'trace_display': [0, -4, -10, -4], 'traces': [20, 0, -4, -2, -10, -4, -4, 0, -10, -2, -14, -4, -12, -12, -2, -2, 6, 28, 4, 12, 34, 12, 20, -4, 2, 6, 26, 18, -10, 20, -10, 0, -26, -20, -10, -10, 10, -22, -12, -2, -26, -32, -10, -14, 0, -22, -4, -4, 0, -20, -28, -12, -28, -18, 8, 10, 30, 16, 38, -2, 34, 34, -6, -2, 78, 40, -14, 28, 18, 24, 38, 28, -36, 46, 52, -18, 22, 10, 42, 12, 2, 8, -10, -10, -34, -12, -54, -10, -62, -90, -76, -24, -128, -48, -46, -4, -16, -4, 26, 2, -26, 16, 14, -16, -16, 52, -10, 26, 22, 2, -42, -4, 32, 8, 34, 12, 32, 40, 46, -24, 6, -4, 74, 34, 18, 18, 32, 0, 0, -4, 10, -4, 74, -34, -20, -20, -12, -48, -4, -10, -16, -6, 56, 12, 32, -24, 80, -34, 52, 8, 10, 22, 90, -16, 6, 10, -16, -26, 70, 20, -48, 64, -90, -26, -24, -4, -74, 34, -42, -28, -68, -10, -36, 12, -94, -14, 2, -52, -76, -22, 40, 28, -72, 0, 52, 26, -80, 18, -100, 4, -14, -4, -66, -4, -94, 44, -62, -30, 2, -20, 14, -2, 32, 16, 54, 108, -32, -12, 6, 28, 72, 38, 86, -8, 26, -40, 52, 22, 56, 30, 74, -64, 12, -12, 114, 48, 86, 30, 92, 42, 100, 16, 80, 22, 42, -28, -56, 40, -40, 20, -44, -52, 54, -10, -92, -36, 68, 34, 16, 0, -68, -116, 96, -68, 30, -2, -104, -44, -12, -10, -98, 12, 16, -4, -110, -42, -8, 8, -14, 46, -60, 6, -74, 44, -64, 40, 0, 10, 68, -20, -34, -38, -50, -28, 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84, -28, 38, -68, 16, -12, 10, -4, 48, -26, -10, -162, -88, -106, -54, -26, -178, -24, -60, -348, -378, -44, 8, -186, -292, -52, -142, -58, -76, -34, -124, -100, 68, -10, 116, 224, 76, 18, -88, 60, 42, -14, -72, 50, 114, 68, 232, -36, 98, -32, 80, 172, 180, 82, 136, -22, 416, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 37368
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 10, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '46.2.c.a', 'source_level': 46, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '46.2.c.a', 'target_level': 46, 'twist_class_label': '46.2.c.a', 'twist_class_level': 46, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 37369
{'conductor': 23, 'degree': 10, 'multiplicity': 1, 'order': 11, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 10, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '46.2.c.a', 'source_level': 46, 'target_char_orbit': 3, 'target_dim': 10, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '46.2.c.a', 'target_level': 46, 'twist_class_label': '46.2.c.a', 'twist_class_level': 46, 'twisting_char_label': '23.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 37370
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 10, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '46.2.c.a', 'source_level': 46, 'target_char_orbit': 13, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '368.2.m.b', 'target_level': 368, 'twist_class_label': '46.2.c.a', 'twist_class_level': 46, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 37371
{'conductor': 92, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 10, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '46.2.c.a', 'source_level': 46, 'target_char_orbit': 13, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '368.2.m.b', 'target_level': 368, 'twist_class_label': '46.2.c.a', 'twist_class_level': 46, 'twisting_char_label': '92.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 37372
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 10, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '46.2.c.a', 'source_level': 46, 'target_char_orbit': 9, 'target_dim': 10, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '414.2.i.f', 'target_level': 414, 'twist_class_label': '46.2.c.a', 'twist_class_level': 46, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 37373
{'conductor': 69, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 10, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '46.2.c.a', 'source_level': 46, 'target_char_orbit': 9, 'target_dim': 10, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '414.2.i.f', 'target_level': 414, 'twist_class_label': '46.2.c.a', 'twist_class_level': 46, 'twisting_char_label': '69.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 37374
{'conductor': 23, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 10, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '46.2.c.a', 'source_level': 46, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1058.2.a.l', 'target_level': 1058, 'twist_class_label': '46.2.c.a', 'twist_class_level': 46, 'twisting_char_label': '23.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 37375
{'conductor': 23, 'degree': 10, 'multiplicity': 1, 'order': 11, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 10, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '46.2.c.a', 'source_level': 46, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1058.2.a.m', 'target_level': 1058, 'twist_class_label': '46.2.c.a', 'twist_class_level': 46, 'twisting_char_label': '23.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 37376
{'conductor': 92, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 10, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '46.2.c.a', 'source_level': 46, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 49, 'target_is_minimal': False, 'target_label': '8464.2.a.bw', 'target_level': 8464, 'twist_class_label': '46.2.c.a', 'twist_class_level': 46, 'twisting_char_label': '92.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 37377
{'conductor': 92, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 10, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '46.2.c.a', 'source_level': 46, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 50, 'target_is_minimal': False, 'target_label': '8464.2.a.bx', 'target_level': 8464, 'twist_class_label': '46.2.c.a', 'twist_class_level': 46, 'twisting_char_label': '92.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 37378
{'conductor': 69, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 10, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '46.2.c.a', 'source_level': 46, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '9522.2.a.bp', 'target_level': 9522, 'twist_class_label': '46.2.c.a', 'twist_class_level': 46, 'twisting_char_label': '69.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 37379
{'conductor': 69, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 10, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '46.2.c.a', 'source_level': 46, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '9522.2.a.bu', 'target_level': 9522, 'twist_class_label': '46.2.c.a', 'twist_class_level': 46, 'twisting_char_label': '69.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 154500
{'charpoly_factorization': [[[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 2}
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id: 154501
{'charpoly_factorization': [[[1, 3, 9, 16, 4, 1, 25, -2, 5, 4, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 3}
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id: 154502
{'charpoly_factorization': [[[529, -713, 587, -201, 126, 153, 86, 29, 14, 6, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 5}
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id: 154503
{'charpoly_factorization': [[[1, -4, 5, -9, 36, -78, 125, -71, 20, -3, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 7}
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id: 154504
{'charpoly_factorization': [[[109561, 331, 32165, 21264, 6942, 1596, 683, 188, 56, 12, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 11}
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id: 154505
{'charpoly_factorization': [[[1, 15, 82, 218, 476, 617, 543, 258, 86, 14, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 13}
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id: 154506
{'charpoly_factorization': [[[214369, 151401, -30373, -1677, 14260, -6612, 2786, -746, 137, -15, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 17}
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id: 154507
{'charpoly_factorization': [[[4489, 25393, 46423, -29850, 7566, -3915, 995, 14, 37, -2, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 19}
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id: 154508
{'charpoly_factorization': [[[6436343, 279841, 949026, 17986, 67574, 837, 2938, 34, 78, 1, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 23}
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id: 154509
{'charpoly_factorization': [[[4489, 10050, 41959, 53451, 42012, 19095, 4657, 259, -2, 8, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 29}
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id: 154510
{'charpoly_factorization': [[[20529961, -244674, -140568, -116920, 127139, 55802, 12717, 1946, 232, 21, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 31}
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id: 154511
{'charpoly_factorization': [[[49857721, 55393545, 4537724, -6246149, 2308058, -449701, 61950, -6167, 509, -28, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 37}
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id: 154512
{'charpoly_factorization': [[[172475689, 62342351, 17754927, 3313523, 811556, 242254, 47910, 5998, 521, 31, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 41}
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id: 154513
{'charpoly_factorization': [[[7027801, -174966, 472384, -302500, 34243, -6391, 2948, -418, 66, -11, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 43}
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id: 154514
{'charpoly_factorization': [[[-529, -1679, 922, -82, -9, 1], 2]], 'hecke_orbit_code': 137472507950, 'p': 47}
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id: 154515
{'charpoly_factorization': [[[31236921, 33500466, 19040022, 6267942, 1326051, 130734, 18063, 1242, 144, 21, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 53}
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id: 154516
{'charpoly_factorization': [[[4489, -15611, 26547, -26023, 21499, -8425, 2935, 213, -41, 5, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 59}
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id: 154517
{'charpoly_factorization': [[[349727401, -89334677, 57402101, -12725509, 3206746, -363034, 21244, -2792, 489, -37, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 61}
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id: 154518
{'charpoly_factorization': [[[94109401, -28229910, 16810214, 2503046, -185165, -109660, -4087, 844, 202, 13, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 67}
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id: 154519
{'charpoly_factorization': [[[8300161, 26614678, 52079724, -26803890, 7374669, -1399520, 188065, -17890, 1180, -49, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 71}
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id: 154520
{'charpoly_factorization': [[[7921, 18245, 25701, 8241, 2478, -3543, -150, 83, 42, 8, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 73}
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id: 154521
{'charpoly_factorization': [[[17161, -13493, 12347, 5289, 4029, 2498, 1720, -226, 9, -8, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 79}
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id: 154522
{'charpoly_factorization': [[[667137241, -123385133, 171600108, -6308725, -1721815, -135323, 18571, 750, 49, 7, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 83}
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id: 154523
{'charpoly_factorization': [[[26739241, -12824080, 1524064, 504236, 236839, 21262, 10620, 1944, 147, 13, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 89}
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id: 154524
{'charpoly_factorization': [[[5031049, 10710325, 9849335, 5305112, 1913770, 453584, 71897, 7754, 628, 32, 1], 1]], 'hecke_orbit_code': 137472507950, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 1, 'label': '46.2.c.a', 'level': 46, 'portrait': 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EYel2yK8ZUh1oI4DVjqSAYjn8ATCKOZn9LMTaYsd0I6A8Ew8VnpCzZNapbamhPnFTU/YNMMbJuP2Dg7ZMPsiE2zI7ZtNOzYpLhmu09dNTl6YoIvvxDw9IGE3cdjUtXlm1/V5t2vMNTVLAeOT3H0jMfpCynnHLgPLRpuvW6Bn/uuFbbPTXLmwhQXVuostT1W2pJ2N6XT1/QGcODoIvtPtq/ZfeD8q4+eOnfJ8TMX7nr5G781evjuv/xGQ+JrevyDZvDllTZRZFCKX37g6UOv+Jlf/wv5ba88+or/41tPeQvLm1hanWSp3WCpHbDU9lhqw3I7Zbkds7Sacm4VDi8J5udW+YXvWeK2KxucPD/DmQtNzix6nF8ynFtMOLWQcqGbMDUz5JU39HjZ1RDIOqEKOb9c4+yix7llQX8ESaKpBZpmLWV6MkEDx88ldHqwc6NPsz7CGAEioDfQ7Ng0YmnVA2OlyGoPRgkYDMvtiK0bfLoDhVAGoUdM1Hx2bB6y2hccP+ORao/ZCUmrJgh9SBJBfyQ5tyw5u2Q4v5IQhkPwE15+bY9XXCeYn6iztDLByfMhZxbh/GLC+eWE08tweMnw0msX+cXvWWHT1AQnzs1wbqnOwkrAYluyvJqy0olZ6aQsdw2LXcHJDqwut/mv/8co+e63ho94Mz+qvfp1j0j0T6f4hLWJbzRULvr4B8vgH/mjT/CKl9/Mv/k3/+aX/uyv7vs/fvej912+53jnksNn+vIV1/W5bLMm0R5aKwzSgspIQAICIQyeMAQSzizVefyQ5IZdy1y9fUijBr4nCXxFEHg065KGL+n3fPYfq3Hv0wHHL4zoJDH7T47YOLvMO165wg2Xd3np1W2OLSYs9gWNcMiRM4Z2p8n1l0lWhyl7jylaDY8Xj8MVWwzDKGWYBnhezHQL9p0MUV6KLxM8HwYjyW1X9xn0JTdcntIZpBw/0+LSTYpmI2J1ZNgw1Wel1+HP74Nnj6bsPjpk55Ylbryqw/RMxNte3uVbX2PYtalFGk9x9PQkh0/5nDynOXUh5tSFlMMXBCdWY15y5QK/8D1dNk5NcfLcDOeXGiysBiy1JSvtlHY3ZrWXstozrPThXF+x0km49Zol3v/PL8iaxyUXzp68tD9Ibw8nLq3XG9NfePrLf83vfOhPv9GQWffxD5LB//ITn+RlL92p7rxn778/cuLczz79wjF1ZjFicehxtq+5Yed5fu1HF7hpV4PzS9MstRsst2sst32WOx4rXVhpp6x0Epa7CYttOLki8OpD7rhumW97TcSlG5qs9ia4sFxnYTlgsS1YbluJsNLVdAaazsjQHybMTsTs2KgBQegbTl3wETJk5wbFpVsMWzb0Ob8y4rmDLW65wtCor/DCoRlazYgo8pmd1gyGcM2OIR+9b4qrtieMRoa5SUmcDmjVQl48NqTuN7npyoTdRyLOLwVsnQ25dDPs2BShVMypRQh8gxCGnRsTpluS7iCk1/fp9H2WO4rlVVhqa5bbKYvtlHNtWBqm7Nja49teu8gdV3vU/AnOLk6wuFJjcdVjqSNYbWtWuzErXQvupR6c6yrOrybcdtU5PvCjS1yxtcFSe5KVTo1OfxJVvzwN65t+6Wzvil+cDk+lb3zTO7/R0Fnz+AcF8EMHDhDWavWzZ0/v2P3CnvcdOXr6P+45cJJBJOj0YXUgON9XnOkmvPSyc/yXH13mxsvqXFiZZmmlwUq3xnLHZ6XjsdKBdlez2k1Y6SYsdwzn24IzPQOix7tf1eZtt2ku21wjihqstGus9gLaXcVKT9DtC4YjQ5QY0hSUNIQ+1EPD1IRhw0yM5w85fDbi+UMhOmnyltsjPH+Vp/ZOcslm+NzjCa+6PuRCe0DNUyRpzMw0JLGP5ycsLTV45c0dPvdoi0s3w5MHR/g0ePNtmkQMeP5wytFTNTwZsHHaY7opqIeCIBAoAYmGKDYMI+j2Das9TbevWe1rlnqGQZqyc1uft72szbtfEYFusbQ6yYXlOksZGbRhtZvS7iWsdgvmPtNRLHRSXnrleT7woxe4dmedhZUpVrsN2t2QdtdnuSNQte3UGhv/3Y6dV/7F9u3bTgyHw8GVV131jYZS/vgHA/BDBw8xNzcfHD5y8PuOHD70W7t37xZLy13ZG2q6A02nr+kMYHUguTCQnO3G3Hb5BX71h5a4+fIai6tTLK42We2ErHYDVroeq11Bu2to91JWuwntnmalZ7jQFZxta6an+nzTS7u8/OqEnRsVE3WfTrdG6EtAESUSrQXaQH8ICM10a8jB0wZtIu55ssmoX+fyrQF33NAn1qs88PQUN13hc/Bcj/bKBC+7oc8XngrZOGPYe9zwv7yrw95jIRtnJPc+rbjjGsVyv8ORkzPcdGXEA88PSEYNXn5twK7tQwZJj7ufUpAKDp/ymGh4eAL6AxtUp9oQJ4DUeIGm3TM0WzHbN494xTV9vumWhNlmjfPLkyyt1lnp2HOz0hG0e9DuJrR7Ce1eSrtvWO5LznUFi92E269a4Jd+aIEbL62xsDrJardBpxfS6QW0+9Y1Wu1CrGv6mmuuN5dffsX7d11x+UcWFxaiXbuu+EZDCvgHAvAkiWU0Grzjyw/fdflKO/nAE08+4RsjiGJDf5jSH6b0Bpre0NAZQNuB/Ew74eXXXOCXf2iBW3YFrHYmWVhp0e7VWO0GrPY82l1Fuw/dnqHTT+j07O9q9w0LPcFCD+J0xI1XDNg0k9LrG976shGXbNIkqcSThiiG+5+rceJCjc3TCS8croFucPU2xc1XacJan6cO9llYbHLdJU0mplZ4dLfPrVfUWOqvsrIywaZNhsf3Kr7z9T2e2OuxbYPPYq/NyvIMN1/T59EXUmbqU1x3eY8L7TaP75mi7jV56VWGK3cMQfZ47qhgw0zM+YWYB57zGcYKKSHVhks2R3zTyyK6PcWWac3NV0AUNVhuN1huh6z2fDp9Rbsn6fSg00/p9FK6feuYrPYNywPJ6Y6gPRhxx5UL/J8/uMItV4ScX56i3a3T6Yd0+j7dvk+3r+gOJL0B9IcpSaK56eaXxlEif+Jb3vWOQ41m/TOB7+tvNLa+4ZnM4bBPFA2+58TRp35t4dyBmdNnVphsKqLEBoragHEHaMAghEZKg5QeTxzYyE//nse77ljm21+/zKVbI84tTRAGdephQCP0adY9unVJa+Az2fTcDZOycaQZjAzdYcjyQo1TJw1Rojl9LiEMDSAIlMGTgv5AIfBJ+h4vuUSwa4thx9Y+o7TL559Q7Ds0zZtuCbn5mhX+8POGQDS4ZGuf3Y8qtk4p5ib61FSdKPa50IVmzWPbRsGz+yJuvrLOa25a5A8+OyDwW7zxdoMf9vni4xGfe6zJnqN1LtvS4JLNKfPTEZfOxVx/SYpSGk8ZwNAIQ+anQqLYp9sPeOGgT2/o0R8oekMLxN7Q0Ovbz94dpPQGhs7AsDqAhb7i/IqhMdnmx9+ywD+/Y8QNlzU4uzhBu9eg2w/o9H16AwfsoWAwgmFkV5BRbHjg4Sf8emP612bnNy2/7lW3/e+9bv8Pmq3G/7wAj0c9EPzg6aOP/vLhPffNRIMerUaApySDCASCstEjBAhhO2mUNHgyJZCS3QfneeZAk4NnLvCuV/R4xbVDploTLLcbNDs1JgYBvb5H113swdCjP/IYjgzDSBPFhjg2JKk9oiTAaJBK4HuCWiCYagmmW7BpTrNtY5+56TZ3PQUPPuMj9SRvusXnJVd3eXhPTDSc4I6XCNqDAReWmrz8Ss3cVJ+6FzJMFAudGKUFL7nSo9Ea8fT+Gq++eZKX3djl6f0KzCS3XBvwA9+8zBeejbj3iSZ7T9TYMa/YNFNnutVgsgX1EHzPoCRoA3uPCtJUECeCKIFRjP2Mo5TBSDMcafpDTX9kPe7OCBZ6kgtdGOkhb7hpmXe8os2/eKMmSSY4t9ik06vRHQR0BxbcvYGiPxT2cOdvNEoZRprBKOXMhTOc/fjnZwbD5P/6Z299jdfp9n9v4hsI8m8YwKPhEkKkP3Dh1AO/fP74FzYo02eiEaBUipQgpUAKiRACIRRCCPd9jZKglMFTBl9p6r5gsV/nY/dt44vPdHjV9at81xtWuf7SHrNTDZZWG3QHIf2B74Ct7BEJRrEkTgRJYpd6u1LYoNLzoBZAo66ZacVs3dAnocfB0zF//kCNIyebTIV1br3W4+U3dHj8QJt7vjzB7VfU2LG5z0fvEygRMtGKWe2N0AaUgPmJPp1ugE7qvONVF/jY5xrsOl/jbbf3ieIlHnh+ljitcdu1G3jbrR2u2N7mi0/32X2ywXNHA7bNSGYmBI1QEPj2JpTu5tcGtDbEibtZY8MotkAcRjCIoDsUrIwEy10Q3pCbrlrlu75plVddmzI7UWel06DdrdPth/QGdiWwwJb0R5LBEAvuUcpwpBlFKcPIMBwZEq04fa7NH3zs3g29Ib/8re94lTl3fvX3N22c+p8D4Luf+FVuuLWJXv2j7x30kw8MFg7MBaJPs1FHytSxNBbcEoSUSGHBrqSHlClKCrc8a3xlCDxD3ROsDBVL7Wk+fn+Tx17occeNq3zXG1e5aVeb2bROkoT0hzV6A5/ByCOKFXEiSVJJqgXaCAQGKQxhoGnUEsIgIvBHnF4a8dknJYdOBRw9NY3SIbs2B1xzqeKWqzuocIHnD7fYOtXgustg0/wKy50Jrt8qSbThridCRn3JVDPhzbcN+cwDMSfOtbjqcp+zq0NePOKzfeM0N166wMO7uzz6omAUBVx96QxXbw+5eluXw2eXOXQantjX4OCRJg1PEHqSZmio+SClDaqMsTdrkkKUQJQKeiNBZyjoxBDpBG2GvPSKDt/1TR1edX3K5pmQ4XCSpXaNbi+kNwzoDzx6Q0V/qBiMBIOhZDCyfaPDUWo9/kjnK+EwMgwiGKaK82c6/Pc//dKGR/ac/MB0UyQ/9u//6A+3burwc//L+//pAvzb/7f/zg233sO997zyX1yzZd9vTAXHpgLZotloIGSEwLKQkAYpbQClJCgpkEqglEIpgac0nkrxPUHgaQLfEPqGRpAyVRN0Rz4rnWk+8eAE9z03ZON0n/e9ts3V24cMBz2uu9SwfZNiFPukqSLVNlEkMEip8b2U4+cNR88JVgeaTz/c4PTiNCbyma4ptsx67NzkcdlWuG5XBy0X+eBnmiwvT3L71R7X7WrzxecEIvHZMC1pNhL6cYA0EoxEeQHtoeD8suBa0+C1t3R55Ok6W+YCbr9uhu//5kU+8rkuT+xv0hv6LK22uHRLnas297ntyi7f8uouZ5aX+fTDIUv9kONnfU6fDvCVQEqJQKCNIdUQa0OaaKZnY264ts9oFHP19hHvee2IDZOKmVZIHNc4u1CjPwjoj+wqN8iBLS24R4LhCAfolFGkHcANo8jk4B7E9mbqpR7HTrd58dCjc990+9xvvOvtW+If/Reb/9TE/wnh/8w/PYD/6u9+mJ/44XeK9/4r3ku070Pf97Y9jbfcrqjFAdpYnV0GuBIZuA1SSpSUeErgKffsCXwvJfAEga+p+YZ6bGhEhslaynRd0I8k3ajJ0VNNfvVPZ0AniCThlhv6XLopIklAG40xNokjhb2RPD9g/4mAvYdqNGserUAy1xDMz0o2zHhsmVfs3Jxy1c5VUrHEf/vkBMdPTHH7lT5XX5IySLp8+fmQqbrP7KRhqhXRqFsppLWkPVQs9wxL7ZR2r84rr1vlyb199p1QTE3UuO3aKX7oHUv85qfg6UNNegPDatfj/PIEm+YabJgesnN2yL95b5+JRpvdR2H/SYnvG5SyQTgY+z8DSQKXbEq54/qENPaJkxBjGgwjn3OLAYORXdGGkcrl2yASDEeCYWRZ24LYAns00gxjnQN7GBtGDtz9SNCJBCuRZJDEmGFEOnxu6tXXnf2Q7l2WnFz6dw8s9X/6gk5I5yf//k28/1cA/l9+/0Ns2Tihfum3P/ZuHZ/9w7/63NlarzfFjg1trt7RK4AtjHNHbBCppEZJhVLK6W2J71nNGfiKkS8ZRZowShnFhnqsGcWaKDJMJDCKNaMEokQwjCWjNCROa+w71OS5fZAag3Y3lhLgSwiUrflohXDdZpiow2RTMt1SzE55bJiBHZtGbJ5fJTbL/LdPTnL4yCQ3X6a4bJtk17YVvvRiwvmlSW65VDI9oakFA0IZYpQgSSXCGJI0YqVX4/ySz81X13nJlV0efrrGxmlBo9bi5is1P/7uJX7jU5oXT7dY7WlWu4qFFY+5qSbTE3WmJyaZaMTMN2N23hwR+gm+l9g4RthgwmBvqjhWXFjwiBNFnCiiWDGK3XMkGcWSUSQZRpJRJGyAGglGkbGgjjWjSBNlwI6z79ufG8TQjwXdSLASS7qjBDPs85LLV/nX39Hm2tnzjUP7wj/y5/Z0InXJLWnSO/n/Bvb+3gH+i//3xxCDhnpu9+J79p288AcPPX+8Rn2Szz3q40nBL/7IKtds6yGldtLEoGTggkgPpQy+MviewvcMfiQJfGEvgi8YBYootkCPY0OUpNYVSUpHCklqSFNNqrF6W5ODW7jVwpPg+xB6glooaISSZkMx2ZBMTwo2zCTs3NSn1Vzlk49EPPD8DKuLE9ywQ7Fzs88V24ekYpW7nmjQ9D3mpxWtxpDnD8OeIx7Xbzf0R4obr4i5YZfh3NmUhZWAwbDBW27t8tDuAQdPK5p1SRhMcP1lml/83iXuf3HAZ+6fY6lj2LkhZaXtMTWhmGz6tBo+zbqhFmrCQBN6KZ6yJCFda6Ux2ISVFiRakqSCJBHEiSRKBHEsGcXWeYlim3+IIhjFKVHsQO2IYxSXDxjGBbg7kaSdQH8UI+MeN12ywi/8yBJvvz1lFLeIe/vDKP4dmLjmlWG4+S9P7PuDdMfV//IfN8CV0HK1u/ztBw6e/e0vPnWhNmQWVdeksc/fPOoRRYr3vK7Le9/QY3oipStTlExtQZLn43spvufhxx6hpxj6lmlGviQKBFEs7MWJFXECUSytg5AUtl+SatLUugupcU6Jc0syd0ZJK3sCTxAGklooadYFEw3DVEuzcWbE/HSXxKzy8YckH/ncLBtqNW7YIdix2eeSLZqdm1f45JcNy8s1rt6kmJ6AViPm/DHJhZWQ4FIYxYL5ScnUFBw8aljpaM4t1rjikhqvv6XLZx+sMduCMAhQcorrdwl++G0X8OUF/ubhafacrrGxE7NhKmGyqWjVFY26pB56hAGEPniedZikAClKIMfe2KmGNBUkKQ7oEKeGKIE4Ti0pxJooe461sx0zV8ZZkIlgkAh6saATS7qxJhpGTIYd3veWJd732h7fdIuh3WsxigJmJnyGo9PhqDv9oTSpe0L4f4blmX+cAP/QH36KNNXf++BjR/7LwcMnJ7ZMKvqxpp0I+jIkUoq7nvD48ot1zq4s8b98S5/piYRaaDOOvipAHkQpke8RRFaaRLFNpVvGEZaJHCslCcQppKl1ErS2AZfWJuvhdOC2ALeBq8D3LEBqITRqmlY9YaqVMD81YG56lUf2RfzxPXX2H53ikkmfXZtg26aAbRvhqh0d+kmHx/dOUFc+89OKqRZMtUZMTyYEgYcQ9uYajAKWOzGrfUO7l3BhJWDHphYvu/oC9zzRZ//pCRphjK8ChJhk11bFd79xkZdedYE/vqfF4y9MsdTz2DCRMNVIaNQk9Zoi9AWhL/F9G6sohbMPLcoNtodVa3KgJ6l2q5uzFhNNklpwJzFEiSmO2Loyw8SSSj8R9BJBJ4HBIEEnA2brHX7sW5f5N9/RoxEGtLt1hnFIHPmM4oBR5DMYnpzw6v5/a83eEOzf/dcfuerGf/6PD+DLK22UVD/4oT/8xC+fOnlqthkK/NQGj56EUAq60mcgJasjn//yFz57D6/wjlf3ee1NXTbOjeh06wxHIYHvEwY+o8gjDKy9lwE8jiVRYpfdOHGedoqz/nDMLV1G1IHbJilzl8ZTNmES+IZaoKnXElq1hOmJEZvnOpxv9/mtT/vc9eQMyytNLp8X7Ngg2LohYNsGwaVbhnjBKh97wOPIySZXbpRMtySTzRQpR5xeMISeRAqwJQgeOzd0eIKUTl+x0jGcX65z5bYa3/LaNn/5xYBj50N8L0YIH22axInklktX2PkdHe56us9H75rhqWNNtk4L5popzVpKLRCEviDwbaziKWzgLEVek2GwN5k2WKcltYDPQJ6kVtJZsEOU2kxllCWPEsEggW4i6SUwiDRJP2LbXIfX3LzCO1/d5623ajzRYGW1RhQHjOKAKPaIIp9R7DGKFau9c7OytusD1978bjUYdH6vXv/7qSn/ewH40vIqvu99/513PfDLzzz74obAM1YKJHbZtFlIgS8FgZT0ZI125PGxL9W4f3eXm6/u8B1vsFVws1Mhg2HIYBQQ+j5R4hPFXh4oJYkiTiVJIolTQZJI0lSQalFobS3IVYnJfHabLFIuWRT4mjBIqYcJrfqIuakeg3jAF583/PmXJnn8hSmmA5/rtxo2z0g2zgZsmZds2xhx2dYVdh8b8OmH5plUHvOTgommYKIR0+6nfO7LNVqBQQgLrMHI4x13jLjzMVsT0+5pLqx4bNvQ4l2v6PH4vi57DwY0wwQlhQW5bjCMrNb/7te3uXLzBT52f4dH90xxYqXOpgnBZM3QCDQ1TxP44CmBkvZGli6/kJUfaSfVtC5WuMQB3RIExKkgTh2wU8EwcaydYmOeKKJZ7/Ntb1rm29/Y4ZYrUzZO+wyGTTq9wII7stcrij2ixErSUawYRYIzJ/duaLQe+eXLrnqVHvTbH643vv5j5b6uAO922iytdPCU+J777nvoP3/uri/Orq62CX1pkxDCJlFkKagLpKEmBV3l0/cVpzohZx5r8NjzPf7yhi7vef2AN98xZGYqIBqFjBKfKPaJYz93BJJUkaQuYZMWALdtbGB0YUdZtwaUtHUcnqcJ/JQwiKmHEa36gJQBX3ha8qf3TfHC0UlEHHLJtGHzlGFuSjE/E7BpTrJlPmbHpg4nF7r8zmeaJKM627YJploeE02YaMQIP6IzaDLVsje5MRAnkplQkeiEbhzQ7aesdBSnF+pce1mLH/lnq3zgz0KOLzTxVOxuDI8kqTGMJJtmQ265vMMNl/V48fhp/vxLde55aooz7TrNUNEKoOnbBJivwJM2nS9EtbpOA0bbmy7VgtRAkgrrn6eCKLVJokEqGKQwSAxJkqDjEbO1AW95wyrve0OXV10fM1n3ieImK+2QURwQxx5R7BMlygFcuTjJmgJRIokGHZ5/5v4No0j9511X3ZYsL575I+k3mZr8+gH96wrw4XDA3MzEO5966pnf/NIDX5qIhl2adUWcgkgci7uTrRJQwljnQkKYaupK0FcB/cTjwqjG3zzW5IEX+tx2b49/9a1drtnRYcOUYqLhEcUBUeKTJF4O8jQDuJZoI12RlsjT75a5tXNoNJ6XEAYJvoroDGIWOjG//skaRy9M8/TeKYwOmK0LNswZ5iYFsxOK2SmfjbOSTbMJW+f7zE6tcNczmqf2THHDNsF0S9JqSCYammY9QvgjwtDDU/bvGwNpKhmMPAbDmEQLugNNt2dY7vicW5rg5Vf1eNm1q3zs3hr1ZYUnYwtI45GkAVFsezznpmq8dFePl17e44nXnOH4guSP75niwmqDU0shgZI0fUGQyTBpySUn8kyqYJk8MYJEQ6wFoxSGCUTaQJpAEiPViC3TA27Yaa/HrdekTNQ9kqRJu2uBnSQW2HEG7EQRV+SkckaAjZva3T4XHnpgtjfyfvPa625aGQwGn/56YvLrBvATxw4xN79RfebTf3n5/gOHJkaDLs2GTxRrVFxIE5UIl8Rx4E4FvjKEiSFMBQ0lGHiCvhcySH2Wojr3PDXJI3sGNMMR//KtbbbPJuzcMuDl13XxhG0RE8LKFZuVtLXSxpSYmyyBZD1zQwIy4cWjkif3eXz28RYvnmgRJQ1anmK+bphpGqYbxvrgEx4zkx6zU4JNMwlb5gdsnl/hgRdGfPCzG9g85TE/ARNNxURT0Gok1MMRjxxQDCMPv2lBZYwgSiQ1T3HTlQMee37KFj4NUlY7PourIecXp/mRt53n1OISjz07jy8BEaMhB9AokvQGHtOtGlMTTV52ZZ/X3NDnO163wL6Tmjsfr/H4vjoHjjRJhMdopOjHCpXX95QDT5cTMJpEG4zW+CJlMoioEfOym3tcunnItrmY73rziHogadZ9oqhBuxsQxT5JohzhqMJrTxRxLF1sJB3oBXFamAOjWLDabfPQgw9PnDhx9vL3ve+9av+Bg+lVV3596sm/LgA/sH8PXjAR7Hn+ye/TOv4vy8tLBL4HaDCionsrQJcGlRq8FGJlg9AwNdRSQcNzLJL6DFKfflqj2035zx+bxiQxG+eHXLtjyOxkwnteP2DHhog4Fk5vSygxN1l9i9QIKfjE/XV2H24iPI/jZxqcPt+gVldMhoKppmGippmoQasumGwoJlqK6ZbH7BTMTSVsnB2ydUOH1KzyiYcmGPSaXLHNMNFQtBqSVl3TqiX4fsRdj9UY9SX+BtstmkmUZl3xltsGPPiMpjeS9AYpnb7Hatfj3FKDay5t8Z5XdXj6xQbHl1soqYHY6WWfOFWMYpuY6Q092r2AVr1Bsz7imm1Dbr9qyMkLbY6dXcXzU5474vGXX2oglC1cY3z+oNHuehniKGXnxoT3vX7A3ETKVTsNG2chTXxGUYsk8Vnp+CSxIk6LFTSO3XNia3ziVJJkAE+lc7mKIwO5QLG0vMTGzdv/y2OPP9G//prLPrJv357o6quv/YcB8CNHjuMH569cWjj9Wy++8KQ0RtmJTLqo4xYu2FFJ5l4YVCrwXFDjpQY/tRow1IZaakhSQaQNUSoYackolUTaJ9aw0JvgS7s1hpS/ftyObMBod2RZPGeR5RWJEqkUSewhtYfvSVohXDpvaPqaRqhphNAIBc26pFW3cmiyJZmegNnJhPnpEVvmu6Ss8Ot/VePh5zewaxamG469G5JWPaFRj2g2BtTrDUIlUdJpcKwciGOf4UAwGKV0R4qsc6ndVaw0A06dn+SV14748fee59f+0uPEaogQGmNidGqIE58olgxHtoy1NfBo1gIa9RqNsEEtjGnVI265IiLwY269IuG73tDHU4lLAmmEMFVR7iSd1hIhJKGvgIDhyGNpxbN1O2kW87gjkXkMFCeSNAN2WgT9SSKcEeDA7fz3yDleqRFgNE888YRsNdRvBXL0UH8wfOHrgc3/xwD/5Cc/iR/49UOHDr37wIGDIqvnkBKUcmwqQEhDKl2QKSFRFuyJshG7p42VellEnwoSbYrIXlt9aA9BpCWJkaTaI9YhqbO9yo88SynAE8JKIgW1uqHmGWoqJfQh9KAWGOqhoB5IGnVJo+ZZgDcFUy3NzETC7NSIDTM9tmxY4oOf1Xz0no1sn1LMtTQTTUWroWg2oFFPadVjzi5pDp8NqQX2hoas0k8wjDwu3aTZNDekMwwYDI1jcclq16NVr9FqTPFdb7jAkbPn+NCnt+JJD4Mm1SmJNsSJxyhSDCJbFNWvSRpDj3roUw9T2l0bYwR+ahNmfoonbaOElDadn5VI2NIVAQgHckFbuypLbeOaNJVoLUl0Ee8kqSgF+NlrB2xtM6b2Z4QDvAV1YefaG15KyUTT59jhF4Uw0bs3bb7k8N2f//TgzW/9f9bI/P8Y4FL6wfnzCz+1vLzwU8bEUirr9yJtskEIbZlTFABXyljmlgZP2w+ZakiVSz5o68mmWdZN2/LPPM3uKuWslyvyQKmsuSGTRFb/e1LjSVxNC/hK4HvG+saeoBZKaoGkHirqNUWrLmk1DJPNlKlWwszEiLnpPjs2LvH4gREfu38L07WQjS3NRENYcNclzZqmWUtoNUY8vh+e29fg8nnjdG+RNh+MFLdeZbhix4AnXpiiPzIMhim9gedA7tOo1anXpvi2Vy/z3IELPLZ3ExiF1qkth00MSWzyepLByKMxNNRrilqgCQOfMEgJPY3npfieLTFWSrsiNns9EAZBoeeK4NyWEOvMkdKZ/VqyYjNgawvi4ussW1o+yJ/TtLju2i26QkpWOyN56vT5fx/WmkGr1fwlIPqGAXww6MvhYPjzH/vzP/vfl5fOB/XQy+u5tQEtBFJLG9xJC9rsOZEW6Km2YLcnzqBT8tfZh09NlnkzaJeJy5IVxhhKmffKiptp/nLZraeEBXhetGWzf2GgqIWKeiho1AWtumGikTLZTJhqjZidHLBlfoXH9g/4+T/YyIlTU1w2p5lqwERd0awrmjVo1lLqtZjAH9IeGpRU+MogZfHOUi3ckh4wUY/pJ5q+q7PuD1O6fUm7rmh0Q2phi0s2xfzi97X5D38o+fLejW6SlyZNNUmaECWaKFYMI8UglNRHilogCQNDGChCT+P71u/3lLEAV67ux8kUIUy1Qdel9o0jEeNqWVIH+FQXz2mKA727dhnAs9dJ9pmz7CnuZ8sZZhApJEJw4tSZoNFo/cS3vOcN/mDQ/3f1euPvnM7/OwN80O9gdPxLL+5++H/trZ6qTTRUbj3lkblLsigtSKUDtTakygaXqWNq7Tl2Tg1amzyNrHOPFow2tou81KNZ9GpWAZ7dZCIDt8A1SVi7zHOtaL4nCQM7AKgW2pEM9dDQrGlajZSJRsxkK2JmYsCW+VUe29fnP3xkjv0nZtg5Yx2WVl3SbEjL3nVDo5bSqMXEacSf3NtCKoXvyn9zBjfZUu7z3W9a4e6nIrpRSN8BvDdQdHuKduhRC0JCf4Krtif8xx9Y4uc+Inj0hY1oI0m1TavHiS00G0WaUc2Wu4ahoOYLwsBmNgPP5BlbT2mksnZtJhlzgBcpT8CRCDaXYN0WF8hnAHZTB3SeXMOxO/mKm2aMndfBFMBOtXFhk3FZVmtKvLj3SG3i3gf+tze96fVitd356anJv1um8+8M8IXzRzBGv+zksafr9WCE76kcnJlsUKWaB5kKlBSkWXrYsXfOzKkFvs5rJYr2q+x3GlM0Iec30tj7ygCe1WBkmbyMvT0vqzuR+L609RuBoBbamSeNMKVZt+CeaEZMTQyYn2rz+L4+P//hGV48Pse2acFssyRNah7Nmq1fqdcS6mGE7484vTSNrwRKamfLFUFmmkqSRLF52pAkMZ245jplNINhSncoqfcVtcAn8Gv43iRXb0v4j9+/wM/8Pjy2ZwOplhbgqSFOUsfkmlGoqUWSYaByCeb74HtWotk6FWvTyswbd8/rYNzKFVxSCJEnh7RLDmXZ4jQtJY00bjV2HnuarcAFkdnrb6958Ts12kAU9bn/oSfq23fsfJmU8qvi8esK8APP34kSw8ae5+4OSFdp1FztQurAnQHXiKKwRxVVbFoKV9lXYm0vA3NZhpgc6CaTI9nri7w3KYoiqqy3MwO3ktI1SmTyBGo+hIGmXjPUQ6ufG/WYiUbEVHPA3HSbpw4O+bnfm+b54/NsmVLMNzWTdUGrJmnUFI26oF6zN4dN9Uc8tlfQGwbUFO4msxo8a0JItSBOPJo1xcuv6/L4ixP0YytTBqOU/kDRDRVhoAj8wOnnKa7ZrvmVH7rAT/4uPLp3A7GWxFq7ZumiB3MUSMJAW/b2izp6T2UHTqYUMk66LO96IM+SQiYDuAN8mjsvVFfeTFpmwNZjhJZd57REZKb49yiB7oVVPvInnw7e+y1vb/zxx+7sf/e3v/3vH+CnT5+gObV96sjzf/k7STx8tRIJga+QUuO5pSkvyTSlD+vqQlJVuuM1aCXWZ+0SoHUO7KIpGKe984shbEGRkA7crshI5QC3ro7vWSYLfGwnUOAKrMKUupMXrfqIydaA6VaHZw+N+Lnfm+a5YxvYNOUx39BM1qFZEzTrikZd0cjZO6UWJrQaQx54LmC1XWN6ukiTZ4DRTpvGqWLDrOINL+nxwJPadtFEugRySc2X1HwP3wvwvDpSaq7ZbvjlH7rAT/6u4dH9G4i1R+wqAG3Zq2XyMJZ5dWHgSTzPFWFJgfKyc0P+/rKbMJMqIqtKo5Cd44cuPWtdes5X3hJT64KwMrCXv5fVxGT9pKMopdcfvPrwkSO//yPf/94ffe0rjq/u3Lnz7xfgg+4ZosHCT549e+LbO+1lPM8ncDouVRkji1w7p2OsPs7smfxIcxlCzt6VQHKcuR3Ss4xcrr1lVkFX6O6sYtBT2PoMz+D7trG4FmhqQUq9ltCoxTRrI1qNITOTbZ4+MOKnfneOZ49sZMOUz4ZGymTDOHA79q5J6qFl/1qY0AgjEj2iG4UIJfEzBs81eHZuXIFY7NMMhrZcIKoxnYF8mNIPLIOHgbQ18V62Aa3h+ksMH/jR8/zb39Y8um8jsfYYpYIo1Y7FBbVYE/qGwLe9q56LOzxlS4SVlO78uK787LlUmJXfmOVYZwzcOQmViCkD9ziACyLLVnlTwoL9ucRpdINgaWmJI0eOffsjjz1zOIriv3Uz598K4N3VEzQnt+189pEP3iCSU9Rq1qC3UsB5psqxdWr1tlYZuEUJzKZ0pwtXEEUlgMzAPl5PYsprZsba5aAyW25dMZdywZTnuc4gV4SUVQ/W/NTp5ph6bcT0RJ/JZpfH9ib89AfneObIRuYnPebrKZM1Q8uBu16zdmIG7nqYUgsSJpoRe48Z7n+6SSAlvtIuiCs8iuzmj1NFoj1ee0vM5Zf1OHyiznzDDtOxYxhS+kPHwp7C83zXyme96+t2wq/88CI/87uah16cZxjXbTIsMTRcDXfoY0HuZauXzntbpUrzFU5JUQK4KIGcNXqlALmpAry00hYAp6SxHXDH/i23fEsGQ6qzEgKPFw+cwb/niRt+4Wd+eOfBw6eOX7Fr29cf4IPuKfxw8pILpx7+ryZdfKcvOqjAy99cxty5jaSKUlWtMxlSes597MIHtXZUKXIvuyRr3BLH3OPgFgapioZlJd38FMfcgafxfU3oa8IgoRYk1MKIRm3EzGSflW6fB1+AX/nTTew+NMecA/dU3dCqC5o1kXvl1nnRlr0DC/B6OCJKU4aDGjVlbzIpRKWSL0uk2EDTs1reGzGKDINYlACuCYKUwPfwfYmnFEr6OcARcOOlgl/50RX+858lPLpvljPtCYZNyVRqaCWGmps4EPrGef+Zk2Jy9s6kSgbw/P26N13Gea4Q3UUx+bUqgX2Mycv15zp3xFgH4GVZa3Ii6PT7nDq78s6/uevR9DV3vOR/O3j0zLErLt3y9QV4Z+UYnt+4fXVxz7sHq/sIwxqpTkm1tg0FMrOMynXYsgRsKixecUa0GNPaawGeneKyKswugh33kLG3KUoB8uFAtizW97QbM5Hm4A4DB+6ZHgsrA375Txp8+svzLPammZ+UzNccuGtWdzdcYFkPJY3QOAa32rsWRkDEfc8GrMQBsyGVemxEdYVKU9v8MBF6vP7mPo/tj+jGIZN5x7omGNla9cCzAPeUQUkfIW2CBgNXb5f82r/qcOdjA37pwxs5tTjNYMpjKhC0Ek0jgTC2o5cDZQca+VmgKUUeBGfP5UC9fGMKkfeK5NeH/DqVrl3mdkFJtlCJr8rAr67oxQqXOTIaxePPHmTrlo3vnppo/km3Nzj2dWXwKOrj+/Urzp148F+3F57H9yWItGT2WymSfV0chjRLEhiqQC/bfnrMhhpn7bIscSc6YxaZd+Pb1yoDuDJ40gLbUxbcvpcS+CmBn1ALYsIgplUf4Hl9Hngu5fc/N8FnH95ApCfYMCGYq1lZYi3AzCdX7hCOucvsHeN5Ix7ZM0U/8tjcyN7POINnQbatsKv5ipddMyDRFuCDWNiudedtD0faBoeecCxub2ThkusGwdyU4Ntf16MVnuHDnxvw4J5ZzsV1+jXJRGJoesaC3HNxiDIuLjEO5Nk5FEXtuARJweLjOwrmUiVjcxjT5mUJUxymbCisE6CmJfsxdecK4fHgYy9w+81X/ut//vZXPtPt9Q+2ml99JNxXBfj9Tx5luPA39JjekvT2vcYX55C1wEW8WZ2CWQPu1FgdrvOUbwnYme4ua21nP5UDyTz1XtC2A7gZkyZZVq482k27mm8HbmVrMUI/Jghian5EozEkCPr86T0ev/pHGzi8MIMf1tjUEsyEKROhoRlC03XY10Ob7ay5hJCtX0ndSmDlyWInpRcFBEoRSJMHmJQ+SpYnyGo3osSn7g/ZNDVgtd9iEAs3bs3GCr6fOptPObtTWYBXAldb+fjOV/W49doFfuWPh3z0rnmWkyb90KfpSyY8W4MTehAo8mYIL0v65HNoRJ4FzhJAFU1eEStVoK+3AueAHwN1GfjpmOGQlhKFqYHUKI6c6XLXw/tfs9RPt5w62z1ozB6E+MoVh18V4HGieezkmy6R8VMfnNMPMT8zZDiiaDDICnEc2DMQ61Q4C1CUAskC8GsCSYrXGLGuzy0wBZvkHUIlgLtZKrLC3KkDeULgWUkSBiNCf8Cx8wkfurPJpx6a5cj5aSYaPjM1mA5TWqFxqfcM3NKBW+ZJoZrT3mFgb5yJ5ohPPuJx8HidmpvAlbeLUaDclG72NJXEicfVO+Gbb+3y+5+fpdfwmIjt7JEwcnGD0nietO6HogRyv0SpdlXYMSf56e/sc8Olp/jdz85w5Nwky0mdvu/RVIKGA3ogjb1xnMuUr37Zec3sQ6w+LwBu1vrkGchN0fdpb+Z1bEVdZfT8hi/Jk9SIPPOZaMFIC1aGHo8+/zQ//J1bP/h977n+rdD5qlLlKwK8P4io13x+5y+e3Xbi5N5d33zjGS7fXAcjiFPPgVzly23+bARayTyY0nkyQOQ+sCkB3WRsvR57gysGyti7AHbeApfPU9HONcnYO8X3Etu54yWE4YjAG9FNI37r4wEfvnMTp5em0KrOzKRiJjBMBpqGY+5Gnr6Xrk7FSRPnnefgDmz2chRHHDwV0otCpkPn4mRJp4wBsyysKdWkxB4TTY9Lt0WocEg3ajEIBPXYjkULnLzynUTxMtdDqIsEr4r5yT4/8s4+737tOT58Z4cPfWKWxUGTgVej5ikanqDuGk0C1+2jpHDZTdxqaNZlclhHrow7LFSZvAC6WMPeRYApcuZOtSAxNr0/SAU9Lezgod4p4u7Tu9D1bcjXHDMmrt7kfxuAx8PzeGJy/u23Jx9/JLrHv2yzBhJ8P3a6V5NKnZdT6ozFS1VoRUWaLH3AcsVazs0XZe68kNOdaMissjJ7uyo5lVqAeymeSgn8mFoQEfgR7WHEI7slf3rPBJ94aJZh2iIIAmYDwVSgaQaGRmhoBAW4a6EkDCWhkyY2MeScCQfwwLeZz6NnDQ8+1SCKfcKmWRNgZo88ze3OVxQrfN/jDbd2+dgXeuw/1WRQs90uI98QJODHGj/SKCWtb+2m7+bDfSjAk2pJoiWN0GPj1IB/+219rtkx4qP3tHhy7yQLgyZDFeD7HjVPUJcQSmejZvaqNG7oKSWQV2tWxouzyoyek1aZxRmTJqWyjjSTKhlzG0GkIdIw0IJYaxAxp5dDfvWDz/s/4b/145fs6L6k1+ss/J0ZfPexlmzJF2+fV5+ffPttfTxP2eo/zwE8tQBPtURpWYDbgb0Ac6G9sw+e1zfkzF1l8Erhj60qt0yep5R1Xu6ZjXrzVGoBrtJcjnheTLsX8/ALgj/4/AT3PD3JcruFrNdo1RVTvmEi0DR8QyMw1AMca1vmroeSWqCoBYJagKvQ0w7cmtC3+lt5Iw6cgtPtmk2sOH1bTZwU9TOaAuSJlkSRx8YJwRXbBzx/IqEf+4zcjO8gwoJPpU6iZIkaO4W3/CjcKid/Ulsf/r43DHjzbSt88Zkuf3jXBE/unWCp26AtA3qBR6AEgRSEEtvDKe0udUoUN6kSrux3jMHHeiYuzuRa2M9d1uCUWNuU+kINjLQgNmC0Bh2DSFnsNfirB3xEeP/kv/9Xo9tvuOqSz/MVhgd9RYBfWDwbnon0b7+4sLv5zjtGAEiZ4mGH0EvpodKU1Ei0VqW6YVkBtaYkSUogZ41jMrbuVaSJqRToFzMMtXu2E7GCzM2QMQvdhAee8vjcwy0+/eAkFzpNRK2G3/KZ8GDSt508dR8nO6AeCHdIV3LqdHcgCDP2zgDuJQRBQi2IMCbmvqdDjp+tMzcj8KV2OlYUjb4lFOTlp05SDEY+OzcK3nBzn099OaIX+wxiQc03BIll8VFsSquUyv1qhKzIFHvIolFBW7+9Ho543+sGfNOtS/z1Q13ufLjBA7tbXGg3GIiAQeDh+QpP2JEevpT4rjFcCYNClKRh1T6shp1jAKckUxAVaZLJkiQ/rDSxGc4sKxSDScCkWIUf0aw93dy55cbfhjPXAIO/E8D3HHiWpZUODzzc472vHyCN61oXCi01Umu0lCh3MnXe8CsLxnavybSXA3suR4zAjNskVJdBUQK2ENrZgRrhAO55KYEXU6vFDEcp+0/DsTOKP793ks8/OcGFlSb4NbwJn4aStHxDy9PUfUPdh5pvwV3z7UxCW2YqS4dw/24cyHUO8sC37WmHz2iePxqC77tl3pRS9BULonLB09TVTKd2nPP1l464dluPfacbDGqCRiIIY8NI4aw97dg7c1MyC7LQKrnPnsdGyk0f8BlGPvX6iO99y4h3vHyVu5/q8RdfaHDsTI19pxtEqyFJ6DH0PKSyU30V4LnnjMlz6UIR/JcpapzBdQZsyMueNc4tycFu3KTfrPUwtdVaGbi1bf9RJHz/G88wWt07tSq+71+s9MzvTzfXn1R7UYAbc0DEUf9f33Xnr831FmKe2O9x+1UxXpgSqAQdS+JIWeY2KmduO67BArvoCpFVvV3qeDf5/xWnxmLBlDSfTWpYSaLdFiYpYWgnqSZpyrkluPdLHodP1bn/8TqnV+ocPtOEMEQ1PGqeoukZmp62LoJvCD07OD70cSDODukO5QCO09wO3H5K6Fv2tjdWxNEF2HusgS+r9mAuUSjqwQs3IUuMub7GxOfanQOu2NDnhSMJ/cSnFQtGHgSJnQmoSgCXUuQbBGRMDmPeciaDUpn3Ucapz8gPmKhHfPebRrzqhg6nVzrc90TAkZMhdz/d4MxSjXTgo6VHHCiElHalcF35EpfxhFy2lHV5YRaMsXj2vdw3NyVAmwLY5SPWEGuElyJVyq3XjHjusM9fPX546l9+R+/HAz/+8NgC8tUB/swznyFNk29/8dCZ5tP7Ah5+tsZ1l8a85tYR11was3Vac/klEYER6FiijXJsUR7b4ICNcMN3RP518XbKgWWWyDFjzF2SIirFD1Pi1HDkpOD5I4p7H2/wwtGAPUfrdEYhoygEP0BN+IRK0FDQ8DT1kg8celmdRlY2a+vCQydLgkARBNLdAKbQ3n5qM4u+1fm1IMboiPPLkpEJ8TxJIA1eyWYbI/Ac5Kmp9jtGiY/AY34mQqohvdin7wnrdMRFwZindCUDKbPMF0A27AiB0bJg8tJgJD9V+fiJ/ihg03TEjo0xt1w2YhAN+JdH27xwLODex2o8f7TGkRM14kRBqDBSgZCkspQNyul7vUxQmbtyH9g969Lz2KEtsD00uy6N2DKdcM1lMa996YjrLovp9QXHHtzLvff9KVJefMPudQH+Zx+/iweeaKvPPvK0ePq5jZxfiTGpZvchzd2PN5j0U3ZsS7j+6og33Tri9TdFYBJ831Bv4sAsQQuS2AI+CyQtuLMcXPVkZA6JkLZuBGFHKseRoT+0jH7slOTP7gnpx4pn99Q4dDJksRcwSgPwAlA+akIRSEFdQUMZago7zky5wiNlWTvwhU16lMHtSwInS8IAwgDnmtiUue9pAj9xGdGYei3iwkrKvY+2aHdDpicFntR5yUCGg7UrZJbRE7m9Ohop5mYVb375kLufHHCi3WTgSytTPPATgx9nnnVW5JZau5DyrBOZ/w1tvNLfsEAPUkXqKRLfjX2IfWul+jHNIOZV1ye87JoR73rNkAMnJc/t9RlEio/e2+DoOR+EpD/wSCOVlW9ivAzgY5ZRBvAKsPOoE5EahHbSxGjqzRTf1wijef3NI95064jrrorYuS1hMjDMTRikyx/s2tRjZbBHBK03qHfvuTfZde03fW0AV8qweW7it86c48bzvQbGH4CXoo1hoWtYMJqjy4ZHn9d8/N6U+ZkEow03XxnxvjcObUtSCvOTmpuuj2jW7MXEiDwYWXvNRT6cp90XPLfbY6kjqdckj+/1+cxDNYaxYhgrzp4L0MIjNj5a+OB5iNDDk5JACWrSUHPADpUhVMbWgHvO8/UK5g6yvswc3Mr1aIqcvQNfEwRZgVaas3cQxCgV8aVnFJ/6cgsVeNZuq+jvizN45oWnaeZ4KIZDn3fcMeDTj3T46H2T9JIaTafD/UyHx1lSxuTdQkLIHGD2T8mS1i8BXFsmTzzL5L6nSDwPL0kt0FWKUnaQ/nQt4Y6rEl5+VYwRI97zuj7D2I5z+5uHQp7YG1APBYsdxXMvBHT60qkkse4VLpIAVpo0a5qbboqZm0ptsV5qeN8bB9x0RYzRMD+jmZkyeNhEk04VyShLJiqaoUd/xI2a2d/SKT/yNTG4MR2gNXH4xT+96podZ9QLR2ISFAhl35wbf6CNZmQM59ua86t2mTlwosFnvmTvRJMaJqc1t98Y0arbmuCxyqk1AMe5Dqs9xZPPB3TaCulJOxPFeG4EhYedC+yB9JBS4kthwSwNodQE0gIhUBCoYkafBbkoGh482wiQNR6XwW0Z3pXV+hmDp6UjIfRijIk4vRgQjWqEk5LApb2Vq8qrZDErPatFPiDvTteKKPaZbim2z0UEYsggCRkkgrpnh2BmNSRZQkvJcnmrzP+W/RtZsk2XhuBr1zNZSKMkSV3eQLn9jxLiJEXFNpfgqRQpE7bNabdiaK7ZMSQyA6SnabcFTz7vsdqXqFyxVIPqMpnjapCaNc3LboyZnNaYxK7sdWXPnX3vCp1IIi1Krlt2ExsMI5450lYn+6OrfuQ7v3niwLFR58pLwq8M8DNnzyHE4gdE8sLr7rj6OHc+upF2FIBUY3elXrPsJEbTzr6nNJ1Vw9kvNUsfcf0EvH0qljcjbCYUz26pjSftDZYFOVI6KysDtUs7S9zGrZlvXHr2XCe9wm29Rw5u29alCBy4A4+8xNQyuGNxTxO47Kjvx4RhzMlFzR/f3QQvcNNySwmeCviqRJaxazYk1ILNZoaj2Oe73jzgrx8YsOd8i17q00jsprS2CtAUnTgqywmUg72sdDGTQrJU4JUdOq+F8TyFn9p5Kb4DupJF0szWjbvXQrvBQSmeMAiTMtfQvP2VGkTqZCYgsv0zzNrrncNBgFaksZeDN4klMUX8RjlfgpW5AntzJzrlrsdWaCd7Xve+t97wAY/kx74qg//sb9yJEDI4d+ocj744RztqgBdWg4nKclPSVYwFEcqQ+mPuaOXzlq68cLo9LxW0f09ImbegKQG+sGnlUNhqQV/ar7Mhnp5juLyQyKM0BwW3M1vRVV8AXOayJQxM3tIWBLo0OCfBd+wdeDFSRhw/J1jo1BCeRyipyJM8PV+y0Kq+sKgCzzkdUeIzOzFi56YB+86NGKQewxTC1I638xOnwxNyZ6k4jarSqZC5VNa6NUUBUy6NNF6qSZVEedn25coVq2VDgrRbLZw160Ausr+NHrNyTQ70zAErIFBm9vEkX9mEKNvIa+dMaqkJPfiZ7+xwfOkxavEoCPTafM8agO/es4QQcOR4i9Wohhda5i4zUPZrqkka416vsfu/sjQRwi6r2VKeW1CZ5+pALawz4UmT13hkr/PvObIvSkHJG2wDJSzYK+CW9jnIgJ4Fnw7cWfePp3OJ4ntWnwZBTELMnY/UOb9Qx59UBOUajrKDMkYNZV7Ii9FKSZ/hyE6wfdsrejyye0gnqdH3POqJJnLpdCWLgqis4MwOWcr+UhZoZoVtmXXoZqoYSF2Js6cFiRJ4qXS72NmyhwzoRTJN5wk2KXUp8aYrSbjC2i15ZOIi179UaDdespHLktL3sl8lMIzigGaYct1WzWD1bMWPWxfgf/rxu5lo1V75x5946NbVRYPnKZJKAVQJ4JmnSTFVypSfWV+QFHdhacSDe1bZs7CBhSeyfka3raDIunSoTKjNBupnoxDKwM7noChsP+J6AM8Czkx3e5ksMU5vV2vJAz8m8CPOtTVPH6qDF+A5eeKVCpSybJ8YQ7i9oKX66bxMVOaeeBz73Hz5iNmpAe2VBv1E0VDgJ/azqNTOllFxGeBYkOd/SI5VagpXsuoCNaVJtcDXglRJUqVJlSBxIE9KxWtZOYTMQJ6BujQhS2BZ3cqkDOgOLGIdjFfqV9aWbJSBn92slf/cuSmjOARv/tbJzW965bH973r4kqvevD7AR1EMXfN2JdKbpB4xFdhBl9qIwqCnWGLJX4v1v//VwJ0DvKjZKNh7bR1ENjg/kwDK1YBnpZ62uTjrVLGyROXdKwWws+Zby95Oc3vkejuzBC1jF+D28+rEGEHMZx8KeeSFFjL0CKSw87fzCsKija6o+BvPZopKYZr1xBWpVgyGPi+/bsA3v6rLhz7bIkpDeqmklhpGCW7lKlf9aSfn9NgNdTEmB+1J190ucnCnSqKUtowupRstUWzrWADcgVuUAF5i76IwrnjGAb+K0nHQFijJbs4yuDPAW8/CBsnDkUbVuClNem83On54XQbfc/A001OtN//RX9z7nUdPLhL6Eo1BZX2U44UzpSWlLEsqamT8lnX+YLWGwVSYLu+tpCjXLAPdpumzLUjIN4z1SpOrsjEROYu7bhhfVcFtxymMMbfr2Qxce5vvZQ0HSemIiYj5i/smSE2IyrOX5QCz6GvMnI2KBkeUmnFdgVo+20+Rph4Cn/e9vs+f3DliVccM0hqDVOAn5CwupUEmIi86s3bhuBaVFNZkqRZEC1LPzSxRDuSeveZeKt0EMlvBaLPHMi9NzqVKVhuUP2fsTQXsFcr+ig/H2rnjVCrCK6sEU+01IDqHL5a+c/Out9w/6h2/O2zurAI8TSKi0fDyXq+3a6XdpR4GdjqVGAN3ia2zNiW+EmuXcrfjxTlQZjhTBfjY63HNmTF5ebaHUqLQ4q7irjLsxgHbU6JwUnI70Hbc28Zk45i7CDC9EnuHfsTThyQHz9QwykdJSSC1lVTlOo2SAB93UbIj70/VouRXW5DHic+uLTHXXtbjywfqxCpgkAhqEvzU4CXCFkEJ14WTOB2OtHKh8ifXNpqsaRNz7Yee0vl4PeWkXwHurBbI7kCdF75l8igDdqa/89fuXVxMi1dugQzdRZBc0emGCsCNEcRRl2g02BUn8eVJkt69hsHPX1ih1xsy7A/s0q6s5V2u47V/yIzJk/Xe3PpvfT2AV5Zyqsu6EqYAeUmaWBkgbPe8KMBtg0yRd4t7ObhlBeDl4T+2254c2Hm2MmfulMCziR3bFRRjiPnL+xosLdURoWd99/JNOF6DUr7ZywVIusqqFW9aK+LYY25G8t43dHn60ASjtEZfBdRTq8WzclYlceDO1grtPPEsQrIsXgaKyWbVjE2lsodE6WxFMvlrC2RZ0eLCfW4LapnX6FdBXhTN5adCmIujpIypUnA5DvDsvNlOJkU0GjLqL5Ikw/y/zwH+Pz781yglWVpepR7aD1EsB1V5kv2xteCuvlqPyHHyo9zIWsgTU2HtHOiyeC6G+hQzB3OA5yyeyRWJ8qoADzw3AMjPtg50GU7P4OepeO1ep5XDU7ZzZ89x+Pg9LUYyQEnlspfVmSzjGcz11Fp2Hqs63GnxVJGkHmHq8d43DfmDz/fZfaROrHz6UhKk2rlHApmafNCo1cYiL3uwD+3+VnXfojKTpxq83EK0E3+VKwlQqSmGdea6W+Q3dFLR4eUaovEGiSqDXwzklTLqjMFzDS7WqgkjwAQsLxxg0DvvKhJLAD92/DQ7d2xp/NTP/9alq8uLhH4xyzqL9gsGp2LZlGt+xUXfbvGP+YctffDMRakEZRWgixw44+OQZYmxsyAzm9rkedkmr057qzFwZ+l7P2tM1nZmSN4ilvV0Ju6IUX7EwdMe3SgA5Tl5YsbKY8dv3OrJqQ40GvPCXTdOkfjxaPqCq7YO2X0wItUhAx1QS23Ntuc0uBJ2I1ebWMpWS00WZBZMXiRRsv5IL59wUAxNTaUFvHK7U0hdTAjI2DzN2DqXKCWQS4PMAD3G5F8Z3GMkUK46zcFccu7K589A2Npw6c2v/LFGe+XH+pPTmy3Az549R6fTftPll8z/5PMvvEAtKAbzVEam5WAuqPxrCxuKF2XWLn+dtXUVzC0qDJ6xoqoM1cxATlEjrUqgVtVdjH2F88ItuC2Ai6FAflmelNlbub7OIGK5q/nvf9ViaVBDhL6VJ7LILGajF8ogv+gFzGuOsokCZQa3jkqSeEw0PN7/LV2++PQES6OASHoMpCRwPZTFyAcHOJftw+nirIzWoB24NQZJ1VkRjsFNHqRnYFdSOAa3kqi8U4eURZeVLLF38boAdFWyfY16vOykUK7VqmrxJIVuP2Vy46afPH3ywMNxNPzrnMGPHD5ArRawtHCawNOk2nOTYs26AP/bgLsC7PzurYK80N+iYPESG5bndWQdMjmwpd0yJZ/QVAK1JyWekyReDvBMc+s8qPQ9nYPb97L6iyp7+yomCCL+/D6fFw/XQfpIKQmz0lhRXGRZumERYt0LuXa0Qnk4knBbhdiWsyTxuX5Xn3e+qsMffL6G9kIGMiCUIk/6KCmIMxeDtUwuyky+jhthDGgFythVQRthwZ1NCdOQ5uwtCoCX5ovbzy+sF15apYvrXWLx7Os1LFhGd/lLUcFfWT5rV+++2k05dOQMS52ANLEbQ3gAqQhIRUisPdKUfMMokfdLmmqDQp61vMibGpMj9knk4AZTKtKvSpTqjMEM8GXd/dUALguAq1INtefqUnxyKeKrwi3xS8OBCs1t2dv37NSqlbbmb77UYrEdQs25J6IUjF1EopDViIydp3Vtu7ynVaLTzE3xmJ5Q/LPX9fn0I0OWeiGR8hik0tmTwrk3IpcIUoKoXBTL3tm3dM7m2Uot8DJnRbnX0n3tBqtm570MciFFqfs+u15lLV6Kr/KMeAZ0sQYn43iqQGws4KzEiMZe30ZN02wY0sT+pPfYMwfZtGH6ks/c8+SP3//kKURk535UO8HHRX9x6i7umVRlSIXF1xmaWZYkOagdkytBPjcv7ygvzf4ud7jY4e5UwZ3tbJAxtyox9xoGz8ZNFCMnPGUzl0ePCQ4cr6EJEdLLm3OL6sGqxCpcjfzOXpsQK9VgFCn7wlHR2gabGI+rd0bs2jxkaV8dkwaWxVMrU7ySizMOqBxUxmrywuZ1bG4Kn1xLkVuH5dhGaXvTaGn1eZ7QkgUZFbJEVORKkQ9w2rt0w6+Jz9bBkaHID5VzMOWHEDA1Ydg4eZhLd+z88dnNr322t7L3mCdMSjQabfJl8uaVxUXmp225Yc4AJWurQgh8ZYlSliOV5xKrjSd4RAnUZR0uc+auAjt/VrhRwGUfvHy4La1VGdwlkLv96n1XGpqxt3Jfe16MUjF3frnFwcU6BIU88fNs4tgNy9pxEWsuninHOUUrny7vbpaV0UYel81FvO3lfZ7Y0wDtk6RWi/upG/KZVqVSBrZiomNmG0prHpSstvy1dK+lW1Vkdthzn7oVQwrH6ppi5cjjD1O6yc3Yira+TPmqenwM1BlB5DJXGoRUdNodhiP15tEo2hTH5pjnuc2Iaj5MNmxNRnZnitKdtp4NuG4NVdkGQlSAXjgoZWAXbD4eoGWAFusAO2dzJUpNuCVwu/mExbYdrAW2VwwIyke8edqBPLHyRMXUGxFf3q/46y81GQwDaHh4UuCLqjQZf//lIHrdi5aDvNxpPpbwcSCPE4/Jlse7Xjvk84/0eXx/gGn6DNKQQJDfaCr/++V0eQbuAuTljiobfLobTFk2T6XV47rE2llQrzO7UIvSzhCiFOg6/GTXuPyaUmyQyZRKMD4OqpLQWodcs99rXT5JNAoZjJTbQUPipXFMEsVIUuqhbQKQYxeo8rsvOpxnnbdVsYXKABfrM/fY61yKiALUUpV2b3D7cXolcBcgz8pmDZ5XjFD23CZMnqoC3c/Z2h5K2QAzCCLiKOXzjzbYc6IBvo+QyoHK1cuUgktRZnLW+fzuZBY+rgvkdTn1XIzf0CW7MIo8rtmR8JZX9HjuWJ1REpBKn4FWBClj7yXzwhljcPtsxt4LKrvZNFoJVKZtpcC4pF+mx/MVVYLUpVmGuiRRZEFSQpsKqTH2XNXgIn/P67U1XoxThYRUCIxWRLEhjmPiJMH78098Fk8p2p0uzbqP5xV31cV/+fpBZpWpxFpZMgbqnLnLrJ0FlpUAs9iBoJAmJaswZ+wM4MXk1FyiOOa2jG1ypvby5+K174JLT8WEQcQLxwV3P9KgPwig6SNFVjlYKv5aL4tZ+pzjbJTNhcV50OuVzxZzTVTe7dNqRbzljhGffmDIc0dC8AKGWhI4La40qJSSTACRAg54pGWwF8A2xq58uXSRls2zVSUL8rWxYJe6SLQJXbgp+bXU5WCzvCqbHBvjJFi8Ho/uBOsmFcs0nrrfaXyOHHyGc6cPkqYpXnt1CSEESZJQCyXVHa1M9Reb7E+Lde8mIYq3VnnTonBQ1pMmOXNnciQH+DiDW72dWYYZuGVpeKRt53KvvfJ88DFwu8PPptC6An9PJfbwYnw/JjEpn324zoMv1KHmgbQNzX6phLdSGls+xPjJGOOMsTyDcRsAZM3IqRH5pIIM6KOhz2uu7/O2V/Z58XiNJPExQjEQHn5K/p5EWrB48RbWZ/LyEHulnPUmLZvbrwVSi1yH535/xujZausYvMLeY/o7A/s4e1ctw6rrVLWmq9hbK5MVyyt9ur0IYwxeo+YhpCCJDcq1hK3rf497319Bf49HyEIUjL4G4KW2Lll+LgO7IlXKafrS4XYsKIBeOrxiE9QM0H4J1JlzYh0T+6xUTODHPHtM8vH7WkAA0kcIlXcRKbeRarkwrMxYxXIr1jJTKQNcMHdJg+cTet3oh3yfeA9jPN73+gH3PjrkycN2kkCsFf1UuIIvB7rUsXa5DqgCG7t6oKqlGE6xOAAZtHT7+WRBcaa9pWNzYZ/zFVeXnJwM7JSYvATqQgqX1rl1CGG94Z5ZwqeyV5AGgyLVHtpovOlJHykFUQRdkbit37LB9G4Pw/IvdR/64o91pMlYMCFLIKguYY6lM4DLgs2LiadUQe5a04rNpowDezYAvwB3hbVLz1ljbSZVlErw/YQ4Tbj/8TrPH6qD74O0wWUgTGlybDmwqlqdVfKuQsuUXuQNEKUakUp1YSrRyjkqqcco8rlu15DX3G5ZfJBaFh+JgKEGLxVF4JdmdqFxS3l5+c/yGwWT5yuLBKPsiAZlsNlPIxBGYARIIypSReiilKK42TP5AroU+BbsXWXzi4F7DcjHk2SlTc/iGIaxJTxjwNswY2XJYKBtUiG2OxKnqXFWUWakGwfs0oJnLvamMuYYS1mXPtRabSbG9ogZqz8R5HvvFLsXO2BXGh6KrUuUGgN3aSh+7p6oFOWVAO4kSuDFHDwr+MPPtxjFPjR8J0/IW9NUeZfgcmBeFpcXkyimCvSyTCm2dCkm81a1uEczlHzPW/p89sEm+0/bmy/Vin6qbJVh6pI/CKu/UzeWY2wlycLNMsBlfr1tnY8xNpg00l4jI4UFuHbTtXQhWcrZ57XJO1FZ1dfq8LGwcszhKNejjO8ckaZ2s9nhyJCYJPf+1W/+9/+8MfDV/3XmzMmr49ie1EJDlkZz5XadKAFQ5Fo5O6w+FrlOLutnW1Oc/XfSWXvZOGD3rGTF8hs/spEJZY87f85dEkpypDQMv7RXT1FM5XZ/8OK8mcH3IlIZ8QefafAnd09BGIKqoZRHQxnqyrhxFOQNzn6pNa7IpJYTUZJiMiyVALWIJQrbMbtphQSpyu1i9rUwmu2bIk4vSp56PiARdvKAFgohbCltWRJkjFn1D0SOGlH+ulT/gSlW7BxgmIqcqcwBR1TYtdyDvmaMm6n+XD4Fzaw98inFbp8nOxmsVOLrAB7HdgvGG254yaY77rjjC97uF09MrSy337q4HCGVb+dNG2nvJmfvlC2tXI+vw0plS8yJlTHfW6wjScoanLxMIGftEmOXp0UVu6hRkSSqpL1VvtNDaSMqZcYkSVYpmLF3jO/FHDgj+dgXG9j5K5a98879ctucKL1fqEiTchCdf5EDaAwculwbUswVtIGny2oaiU4VqXJaPPX4tjf0+dT9Dfae8kFGGCEZpj4eoqgNESBSB880S/xkUC1JJ2O/NphCg4OzDI3T4Fa2ZLpbGvs3jHb+uLbw0RUJWgrCJZWbDtYy+UUWvOpKU2Lv8g7LQkoCLyb0hm8d9s5OeUsrA1ZXI/pDQ7Phsm/K3sGZ3VOUzVbtmjXgFtXXGcDzupMKyMeTOpSi72ppbLHBVAZuU4A8A3JW7ZZp8BK48y5xN3rY89yw/MzvVglKJignT1KV8JmHm+w9WGhvKaT1vvMOmrGLV7qRq18LGLtopvK62oBc8cRLE6k8LWxtiixS+FHscc3lI97xyh6HPxYSpQqERyo8BkLgpc6+Iwt0M0dFUIZMHgI7vWSMKEkUK1Wz5hdhsJpcmCLFL0BLC3wtSrq8JEV19lqzRrqsJcaLoJyxlUBXJYo2lpDroaDmpwQqxqvXPKKaIgyE80Ft+xLGNqMiS0sNXBTgrHmjVa2d36nuopfBXHmW4wAvwJx9nQE7A3vG3OWtAwsmL3S3yoLIbIsTqfFkMTRfqRTfjzlyVvE/PjnBUPpkE7SKrnl3Y+X72FQ3xKpepYs/qsu3czMM+VJsKoGmzGvFM3Dbik+fME34sXf3+Kv7Gxw+44GKQXvEwmcgBCrNzq3V43mwOQbyzJs3gJfdcO570tj0vMHkQFfORiyzuXF/R0v731RW5nFjITtVotQA8zUCvKgmLHZiy7YLN8aQGMMwgmEk8TZMSwIhaE9Z5yRKgKSQJFK7bJuw7H2xKHc8Ol4jTdybHgf2OMjzSHyMtfMG5DKDK11h8ZzJy8BWJTDnTJ5WD2lZ3PciOpHmQ5+e4PSFEJTnrEHp5Imp+N75a9ZnpfF9Jte9YJSkSt54UO7RzFhK5kfeDCEVaeKxdX7ED72zy6/8YUA7tgGBMZKRVtY2TLO6HwOpoFDYBchNjh77L8p9bec3FRLFyILdpTQFg5vStTPWNcmuq17nWpf9cF2WKGPnaxxvFScllygW3EmiiRNDfxhzYTnBqATvsm09Vpt9Bisxi23fMkWZkSRghN1zVOSnIqftShR8MbckA4AsabGLMHdePF/p3imK63OAi7IkKTG5l21nUgDaypEq4JUbMpk9eyrGC2M+8dmQD/7lBCPtW3kiVC5P8qZiWZVUFd2df/bKZbo4G5ExUimjmYM+S9nb3Q7yPZDy5I/dCrzmJfzIe3ocOB7w4c9YLQ6KVEiG2gacMs3eV7kAK0NQOUedZVcdU+cgt+9HGuNmBzqACRcMuySVLp0bkwe6Rb+oHsNBUa+zjmU4durydzpmE2YSOtWGYZRybilm8nxMT8d4nWiVmA6NWsRSu5nPIS/ga/KrV1aT6wG6/ObKQK7YQuvJkjKw15En0p1E22TspqqWWNtmMnVJqmQgLjG5LKoDq8+J871jllfgr77YYGWUgdsC3JfFZK2yPKmsOllpAVXAj+O7fGFyJqJgo6o8we2SIargdlpcaYXWHknqMRmkvPuNfT71cIOlrgIZg1bEWD2ed/uIsl1Ihclz2xK7XUn2/lQpKZTVpyiqLG4BTU6E2rDOSu3s45wsy2xebkqvYmk9Ji9YPCvcchamgf5QI70ejYaP99BzM+jIEC0FDEaGUWzrkU3pj42XV+VvYB32Xk9j5cFXqaqsyoBF0Ja5JRmrF+MiiqbXHNhl3V3aJ9NztpqVHkWAWTB3xtoFe/uNhM9+qcbjz9fRJe1tmxoyeVKtN8lrLah+3vIhSudp7cMBayzhM77lXr4NYxZ0GrttTOaLJ6mPpxNedn3EN9/W54/vDEBFICRGCEbaQwlhJ4dlgWaW4ay8wcJwzoNMG6FaiZKV0mYSRVhNLqWd8VIwtwW6ENZRya63cTJJCOH0ujsLY9WGVKoN3bMpviHGTqHAFtxJXyKaHpdu8XnZ1R6X7lR4r7p2yKFjEZ/6smaqlRL4tiumHBCO31HjgC7uxIsAew17l7pOKjKlBKASsPO950uvc6BnY4RzN6XYcS1zS7JkjlKp0+IO5NK6J6Efc/iE5A8/2+JcN7D7XUs76F0Jih0b1ll9qof4iuy9hoEuuuSW9hAtBZum0nVv98+xz3b7k43NlO/95h4PPx9y+LwEEQMKjWQoZGkTKXsNqoEm63xdBJ9K2n+RbjMqY6y7kt2UQmbOisDIoukhi9t0pRGiwIBAIIxxeBFF+r4kcTHZ18auEBXcidx69KRgZlJyyWbJqZU6J7stvLDWIzUDzi5GCHwmW4oAm5AQQDbw9WJgXsPc7uquCbyoMnVVopiSBjeFJKk4J6b0XAA+B3c+L9s4hnYbVLn+ygLYCUqmeM4WDIKYUar5nT+f4MGn67a3TXpWe0tpu3ZEMX8lbybIbsDxm3vsBi9DR1SgkzHleB1IIQWq5bPlMlrbbqYzRyXVJNJDJR6vuSXih9/X4ed/J2CUSJuB0pLEuSpSj3X5ZM5K/saqsYDK31xWPmvZXEpR+OLCpu6NA7l27K6z3s0SbkyW+UWMMXeJFLMbwJQYu7QqjMthIWzCLfRhqmmYm4o4G/foJiHe3V+e4+w5XJax0DW24EBULtr6TsH67F258LJoPl0jTTLpUplcVQoqBW6aEoUkcWD3ZKHHvdKY30pwKUuyxM24zoNLmeAHCfc96fOpBxuMIh/qXq69c/YuS6UxJh+3v8q5AHus33Rcqe1xwC6kQVF8ZTJZoKu14qmWSF3e4c524NcbCe9+zYB7Hhxw75PK2oZIEJJYeAzcigogjHCjHUrMLTOPxanxvI2zVJci3XcEls1F8b6N09O5dy4yF8V935Q0t1kfSzkzlyVgJnHczZP94DgGtYEk9XnprpBGK8Sr+wGT9YAN0z610KbJhfuta4KEMpuPOSKI6teVZUisDTbKS1U5mVNm9LJ7IoWzA9cJMgsg6xJzl4BeGuaea29pp8Su9gyffbjB/rM1K02ELYkVmfYWlCZImTXgzlehkoas6tqv/LD6W+SW3Lqp60riR1YclVRLpFRInSK1RzzyuHJTzDe/qsfjewPakUu/aqvHIxTZPhBVcBegVg46BmsNZt8zIgtB7c0ocja3wDZYKWKlibCvZQFWq8OLgFLaN+FuOAfc9UhTWhljcWnsjAAXxRpZFKklKQyGgigKmJprgGribZ5T+Hicm7KdKuV6k/HCmWq/5MUYvNrVLcaAnbN4tsyPAVtkUqA0lrcC9FJipxjMnoHcjIHbsXbpOQO37yVoUv7ozjof/GQLIzzre1fYm0J7V6zBtUDPmTvTj2VtchH2rozAgzH9nTH52la2bLtGrTU6lWhpfXElNXHqI5XmR97V59AZnw9+yiNOCpBrBCMhUTobJGGK9T8Deb60CLIta7Iv7U1pC6+UgXx7zlIjg92YwThGLUZMGFF0/QvH/MKY3DPPAk9hCvZGCLtRVQl/GXdL5+Ro7ex9bMp+OBJMLsIgNXithmE0gFZDEaXKBgxjF7SSgCn9kWoHd+nfyoy2jjwpjxWoAHxMnhTgLoFdlfV4CdxqXJ5U96xXbu8Zq8Fj/CDm0DnJp+5v0uv5UFdr2Tuv+S5ZmKJI8JT14/jrPEj6mhi8BPoc7NVCI62Leo8c6DIDukRLq8Wl9IjjlFYz4V2v7fP5h+ocOuvSr1YQkgrBwCXvhQChHbhNGeyOtrUgCzZVDuYSyHFJHlGwedklkcI429BZiplcoZwBFvkNIbKbwEWSuQpw0sjGEKZIf9oKr8J+NNDra9rdBOnFeKsjn06kGMUm/2BFs2/mQVeZe00kvEaTFixXsQjHJh5lLF7MuM60eNUtyWZQq5y5M3BrJ1dKEqW8vXe2x4x0joljcs9LGMWaex5r8sVn6nY4uPQtwMfYO3tvSoiqtMpv8GpRUW4PfnV1Uib0KtDHUtFGFjLFuK1ICqlS6PFUSFQq0UIRjzzeeFPEG1824OTnfEbaXURbCUWCx1A4wDhBkotYaZ8N5E6JKrUpKvdrjPsZ6QCdvWfhgJxN183wYLJalcwGNuMN0m5zqZJmr8Q5unBb8vyMC1Z1JmGk3fpxfhbm5wXeqeGW1YWl/udXe+KfN8KUwFc5mPMyznEGL1/oEmNT0dZjP59LlmoNR2EFFuAfB3bVGtQFwEu7D4zr7bIdmKXipbSdOjJIeODJgF/9yCSp8QrnRCqEkPmWKRlTVxncrFnJ1mPy/CG+CrIpAboiU0xFrmgoSkW1QIvCUbFgt4yeaoXQHkli9xf6qe/rsP+UxwNPSHQgHC3bDxBrxcAJKuHekHDxAMruBlH+IAaXxSTT5O79OkAbI3IPHGG/r/MkUwFk4+pXyqxdNh3KzC3HwO68j4pksquQvQC+B/ObQl56fe3z1147s6ou2bSh112+cFjAD0s0gS/d2OFql3qRZHFgLzUfFIxbqv7LppGK7GergWOeclcl8Oa7h41VBpYqBJWr8S5swSyxkwE8pbyBkpdnLYtey1PLgl/9w0kefqZpvSVp29GQPp4U1CX5hlK+NGtrtyuHq3vPh+RUhxFlNe9SjTVMl0ij+FqUShWqJQFly7Q87LK6so79mzHMzSaEnuHx3QGrAzm21Mh8irigbL+5IHL87izvxpBnAsfv2uIb5cIot0ascY7KsgzWVqvmP2PW+d1jf1ZKQeAZZqcDlpc63/vc7hP7Pd93H9YIu9WHV4w8y7eqG5vTvYbFBYWmWpfpTeUiVAI1WXJOyhe2wuCF511h8XWkiVJjtmBWCutep0HKH356kr/+UhNTc/t/Squ/hZRj/Zas0d8Xswcre2Guc81F5aKNp1OqgLCvq9325SGZVnObIvkji4FB2kkVqRWp8JCDlHe/bsCeIz4f+D2PKEwKgAuB0T6jLJmX2cOpkykU9eHZ57Byxa7WJYvceeCOzXWhwYv0fXEzmjJjl84l2J/BrGVuIcC4sYJZjUu5IhOnDuLEMIps00mqwds0G4BwW8olmsCrMvZ4UZGUpqQ/18oSsUamlBySimNSZpzyIEdDNYvpAJ3bg0VXSw5qWTB3/loWSR2Z15yk3PtEyEc+12SYuin4IrMGXdYyqznJ//46qfky0Cl/9jG5IsZQvq5KscDKvOc1GU3MmhJaI0ujJWTJWRHKFmZJV5wl7SDV0Nd839t6PPpcwL3PWLsw88aRAm08RqkLOh26hKukMpnLYgBZzFMxwtWjOBDnbicuo+kYNTNaDNjeggpGxoJRMgel+LkKkeAymUI4nW/GkmB2h+0Ly4agZysMvQ0z9pfEMfQHYwFgSSNfzA4UMnNMxi/+xYFdZe/qKN7ypkZyTHeXnRNZYmwpL5bUSYsA04vpj+CXfn+SI6dDjFfsllzR3plEyj47Y8zNWhCXYssCyBmev4IgH59UUM1olouvynp8naIs6SoOpS6xuEKkGiE8ZKS5bGvMv/uBNo/+REh36D6Mlvn7SqXdizOzCkWJscEmbtClYNP9QAbmkp1fsPlY3UnZCrwY0IWpgrqMJSi0e8HyILUhFQKRCIzRDKPYNR0bvPn5aaRS9HtddDpACFlcDsHFgQ0lvTf2b18B2NkqkG9aVGbu8SBTuu3qSgmdbLOlMri9imtS2p3Xed6eF5Ok8JufaPHMvpr1vGXG3B5ZzYlfZm9R2INVL3+9hFaG8Kw8VFyUr9cwedk5yV9nu2qYnMnzjcDGrEOdOSwiky7OGxfuSJ1U0Zqbr455/7e2+a9/PkWUOhaHbN0nRTHSpaBTGjc3XzjdYAPcLNjMmDxzVNwuKdlMz4qjsh7QZQXoJblnSgEp2ESPw1c5sNQluzErHEtSzXyrwUSrRZKmeLe+7C2E9QYnjr7IU499HqWC/GSL0i/LPqZ1DsYYXZRly8WBXWbu9QFuSrZhwdqywtrlBI92LF2SJZXDBZa1lC88FvLhT7RoD3wICs8bUXZOiqxlkYyq6vBiNNs6MwgrYZnIvxbjgB5j7TV4rwC9GO1m5BiwjXTVh6aaBBLWRkylQhpt61USxURN84Pv6fPUiyH3fFlBIyly6dgLmGjJkCLANBJ8XdLiGbWLgsmNAzqYHLTZITP/Ohu6WbIOTQlDBlM9t+U0fjouVbJzXsQG2cvBKObtt93CS2+5kU63i+cHisD37FbWnkao0iZTptgpIF9g12Hrtdq7mpksMn8Z+HWp/rsIOlVJltgto0vb1WU1KELnLF3xu5UFuixVCUqZIL2Efcc8/sfHJzi05NvoWZS0d5m9S25FBeTryZPyTV+ufCudp3Uf2cUYq0UpWNx1UGXfI9Ph42l8KmCvpPGlbW8TmVQRxkqV2LBrJuHH3tvl2DmPg6cFxisLLAHSJ3UgL5hbuOmWFrGWoau2oXFyxp47UwSeYBuRS2ydeeRl/BhB3q+Z48ZUWT0rox3PMZSD9CjSIBSe56OUj5d1jRhjLarAsycz+w/Kv8BeODN2oauyhHWAXc1Ymop8KQeaSpaDzpL2FuVNSNdP5mRsnjU2SJkQhAnn2oJf+r0JPnVfA+Nn6fgye4s17K1KN+Ra52QsiCx9Tfl7ZZCP0bgZvzpm7feKBmSX6KGsw4ugKnNSjCwngOw5s2zugk+hSVKNL62r0h5JfvLXFOdXBYRV2jV4JEYyrMiTAuTGFVPZvwtKV3U4wmUtS8Ae19/jHnj5HJuSGijOr7ioSVWewKZdVjMrN/GkVHheeE4pcff09NSbo2EbhHIjC+wJrBBQOS2f/3FzcebObcYyaMY2LqokdgrHJJcnGcCVdgyuC53tMpVSpkiVuNe21iRC85lHmnzhiYarNVE5sKvsXewaXJ43WAm2WcvosnzCy1q8cr4uokVK36s6J+MecdYQUehw7Ybu5BlOaTvvs7F7Whu00EhZqlmREuEqDkPP8KbbhrzjFX3+5POKKBE2bZuzuP29iRRVkIuiPzfT5Gj7IY1zQbJfkbF5HoSWzhnlr2XhjFRAbsYJ5CJ7+pTqdZJUMzszgxDi7notONfrSeSmLZdz4uAXjikx+O/z83MEXkTodjvIylDLtdeVFHpJPpT96tyjLtdolx0QVQJv2cPOa0tKSZwsuCyVw8oSuMsd8cqBW6mERGg+fX+dD3x4glOLme72K4GlcODORkGU672lXCu5CplSaJHy9/P/L0uVCubFGqCvh/tyT6RZ87q877yr4NNy3ZLarIxWG9uFn2oPrT3ikWL7rOYnf6DNO1/XwxcJpAkYd+gYTILRmsTAUMNIC2INsRYkBhIt3AGJxg0KzV4XA3my3c9SB8J8UI/7XppmP2d7Kou9OotZJ3rsdXkWSqLdwJ8EeoOEDRs30elF//0vPvXFY9dde6Xdo8eTI6Q0hH5Eo57Y9HVkiyZ1NtKgwuDm4uwt15En+XMhQcpuSr7XuqBkCTomVyZn7UKiVJk7CyizZ99POboo+fBfNdl/KISWswRFKbHjkjpBib3H/e6yTViZ+519DYVjIqrFVeNsk0X62U+sG1wisMPox5l9rCE5Y3MsgKRwQBICYaSd8e00uRAm1+FSZF35HvHIcPVlCd/3ri5PPB9wbCGvWy30lZMhiRQMHT2bLODMEj3Clay63disi2LyOCar4c6SQFIUnnjuplAwdsbomSwRJSbPfkaY4tzYmSiGKIH+0O601u3HDIYx4Dahmtt8DVI1qQV9VLqbdlcRx9JxVWlCadkxyO3CKrDHNyD6arq7muypShQldOnrteAutHiKEpa9PS9luSv4jT+Z4P5n60WVYA7sQpoEwjY0FJ53kdhSYgzQY7JMlkBcBnYV1XzFRzm4JH9dBJXSjIGcTPeagsGFcD9ru1XywUFC2ukI2iCEzm1DIZS9jYQm7Wted/OIf/VdHf7j70tWBu59ZCjUOLmiSBAMhYsHygVZufNg36zJasOdTleFwCllOAu3pVomWwJ6SYPLUmfPuLOXncd+BIsjn62X7OQVt19Pu2s/jARotDYzs+Gaez5x39lfffKAxygyRLHT4ZT3XKlmG8cnSakxqVKk1KstZZXG4fGmhXKloMr2Ra82LWSsLVVaea1UwlAYfueTTX7vEy26sSukygAuMmlixwz7ueY21RJYd4xnL3Omzq5p+UTnN7tYR5p8FZBnIC69XlNZWAb62HDONXXjWmK0zCVL1t6WDfDMJEuSerQ8+OH3dPmRd3ep6wR0CtlzRa6YilyJtMjlSqwhMcIeuQSxcUEyJjnsIdweRGNSxIzNG8zkSW6FuiQXBSkoaXcl8ZTmDbclvOSyI7962y3X3HPJzs0FgzcmtvND/+oX+gZxtK420d4as3FWWh0uXST7FaRH1QvP/MyS1+3++zVsnrGzu2lEltQRJZkiXWDpAkyZJ3J0LkmkO/A0ew4G/Nk9DTqxZ3U35aBSWYAz7ppcRHuzDnuXGXvN1yVt/reg8jxdX2LzDMzF6+zIpEq5ViULNiXSFOlrnETRWtsbTyvrrgiJQCKFIok1rVrCd7ypx91fDnj2gHAl4KLYKFmLgskzGePY3T6bbPtNsglYKndQCjbPbuislS2rSZGiaHErOyllL1yWMVZyVKQEXwmun/e547oWG+v66H2f+aX+G/7ZvysADvD+7383YVjjiSce5dSxZ4kSW3RVbPBJVT+PSRFB1RVZI1Hk2q+zLGVVpuji+2VwS40UpSxl5pxkCR0/ZfcRn/f/yjTPHwwxvixkSaa9HXsHbs5JecbJ+DaA49bgmibqzLoqYVis88XXwuJlQV4B+RpwW2BnLVt22piVKMI5K7Y81QJclBqVhbbgyGWKsEEdwiAiw42Xx/zWT67yw/9J8Pwht7xlRSSZAMaA9khkFtxmfrjN+hucFnegznW4kzVlSZL9aqu/RbUgy4wRigtd8lyDNDnIJeB7Vko3p6/l0mtfwXA4BMYAvnXLLGFYZ8umBt1Fja9EqbKvGhD+bYBdpO3NGLgzYJdsQVFm7aruFkKvAXeW0PF8TddIfvuTTZ7dG5KqsWSOzHxvmUuTyk4I6zon69XgVMcRr3VRShfhayDvcsnnmqCz3KeJ21a7AvbCxpWlRmXpJmFlo6yNy2xmTb452DOga0OKxhOGm68Z8f97V4+f+q8+3USAX7B3ztgI0IpUCKKMlbXAz2zEXHtnecZSYqhkGVZrUtYpyGJ9Rpe5NWk781MBSWpo9xIGkU9YnyY1g/w85gAPAo8gDA7Nz4SHuxtqu4we4PsitwbXMHHJPamC3lBN9Jh1Ab7m36RGCZ2/tto7LQE+zWWJFClKJCiR4vkpfQ0f/lSTj3+hySgDsyyzt62ck6KwBT1ZTui4m5gx/3sd1q4El6X/Gwc6WQnqV5MnYyAvJvgW2cwsg2KDSVNkO02hxaWTLNr54ZlUEUYgtEQIK1O0kbagKWd1x+apIRCG976xz97jHh/+ZItejD1huVRxz67lIdWSUV5/YoNfjdtnyMk/I0SR2XT1KBnQhZviUAScpUpCV+AlTHU1pZQ8Mq6cNxmkTLTqIMLDgR8cGsooP6d5ZdXs3BbOHnvo7pnp+kc3bZykFkYEvhuek9dZZ+5GNcAs14tU+iUz/1pVA0pZtgJVOXhcW2OSs3gJ3Lk08RK6EfzeXzf5T783wYUlP6/tLjR3dog8qZNrbkpFVSXrsxJbuJNUZm3WuQnKjL3me1/lMV7XXA4qdQb6/HvV/eXLw4Fyp8WU9rzPvXNZ2b0t88cLv9wjSRWbZjU/+wNtvv9dXVphYo1qk64JOjEpGI3WEGkbfEa5V07ukaemCEBz79uI3De3/76O9+2C1Py/Kfnh2RGnECWG7iClNTlHUGt+9FN3Pnj3jh1b1zI4gO97KK9+Zxiadzbr4iatUzKTp+x7j8uUQo6szVKWg82iNLYIKC2LV5m70OEpsmQFZuDO+itlzfDXdzb45Q9NcG7ZJXPkuO5WFVvQy7U3VfYuPa/H3OVtue0hchYf/97XJrzXAToF0Iv089rGh0pwacj1rTYCoZ00GUvrizzgdNdOu2uCkyrG6us4MmyeTvnZH+yw1JF89LMtqFFUFlaY3D40khhbVhBkvri7MbUuXKqsq76Ic0qNESXGNhWicXsCCVMJPF0vtCvJ9Um0fLbRqN9pzLByTmX5i51Xvpmzx+58WNJ/MvCF60jXlcziWsYus6xNzKiKfq7WkMhSw4Ic/zdRWIDqK4BbyhQVag6d8vjjzzY5uxAU4BZjh7QZS6+ku8u2oMoAXQZ3doOOAR2x9utqrv5rx7b5Ct/MybzEyHmtRYnFi2TH2Ki38UOL0vcdk5czne7ZZAOEIsnmuZTvenufXdsjiByLm8RaiMZZiSUmt3O5YWScjWggduyc6LX2oT3KmU1RzXCOW4XZf2OK/zbRgjgBjaLdi578yMfuffhfvPfNlVPqjZ/jqentIASSHoP+EG28/M6hvHSXtPa4xs7ZmsxeLNi5ah9mQWYmWdISo2fgL4PbHYHm8BmPf/9bU9z3VM02UIqyHViWJ9bzzsZA5FlLxjQ4BaDXvC4xyphxkgeea78/7rgUwVK1erAkPSgqOTGMgVuUKgy5SIBZ6PCcxV3NSlarYrtgpK3cw10r7TYsEfYOEhj00PCGlw75xfe3+bnfmuTI2cDqO3CBp2PyTMOhrB5239YuqeM5va0RaGxhlsplvZ1tkmUyswblrBArd1ncc57VdOfdYOfZ15t1rrx8B1qvpY01AN955RsR0ovOHDzL6UHbSpLSVcszl+OBozDrSxapK9Ilkzj2Z6p2oP351AFer30tE5SvOXbB4z/89iQfv6dBJFwDaTkNnz9XA8tyI8Oa5oySo7Je5WAO3vVYfJzM13uU/9HwFR9lxiYDdyVVP+amZIDXrtnCFHJFiAz4VamSVZHmUsUYtFbu+ioSbah5Ce/7pj6pNoK67wAALbZJREFUhp/7zUmOX3DOCmPgdnYj+UZYgsjJiEAKNAaP4kbWgrHA0+T3zDjQK9aikyXlIN9ow4bNG/jO9745ipOED/z7rwJwvzEHzP1Eom68NjWrr5N0EC51W070VICbg3fcbdEOOLr03+qK512AumBu66akFcmSpeGPL/j81H+b5BP3Noika/1fl7kLaeLL9aXJelWDX7EkVpRYu8zWOWU7+42/46MUaFJi9IsC21D6mVIRlllbWksJ8EJL9zlc0kcXYawQynXxQJKA76V8x1sGeAp++r9NcfxCYPPvsvSe80e2dZXl5QQrLwJhQe05INthQaK0grp6mox8SjdDXlorCybPT5XWbJht8trbdn3pxqu3/8SZhc6aUyrHvyHEPCcOfr6jvOb+VpM08NO88aAobR0vabW6uzx/u6rRTUWPj3firAtuWdbjCVKlnFlW/OxvTvKJe8bB7fbzFjIHN65c0xd28axsu51796VOnXXAPZ66z1m6TNeVuDL74iIDNy+G63I6fj2sMyZlLqq/S/+ep+2rTorRsqLPi/HMMk/pm1ybK5JE4qXw3m8a8H++v83m2dg5Kpkmz16XD+10udXQI3dEeYrfavPYuStxVoXoKhTXVBwat3uEdvLHVROOEkGCn042G/v/+M/v7mzdMPnVAZ6f9HT5/fVGujvwk/zEFv73WNtYeQ7gWENC5XCzSqRMS9q7nLhJi0SOKHXmKE3qCz706RYfv6tBtKauu5qKX+N5i4tnLKvMbCrMXXFQyoFmztyiYPAy+P+WpD3OhNVaFFH8c/56nUGdiNxDNxSsvbZJwiZ/zHjA6Q5jJGlmHxpnJaYSLzW87y19fvCdPbw0dfZhAiZ2tStJKfDMAtEUXA1JbGBoIDIQGReE6qKOJS6V3q4pxXVBaLkGxQAxkqAV7r6w3H3/xc6vt943d175Nu7+/IdTeImh91ReHy6N65kc65XMtHQeYFK1CYXUJXvR/XzpOU/kSBdcZkGlS+7gCe5+uMbH7m4wcqWuRflrOcC0a2cmTYp9dUqOSYWxTRFgjsmS9eRJ5XUF0GIN+LN/+kp4X5u9vBhrU5EsWftMpr2r8iVLi9uSWuEY2mrzcvLHiS0hrWbPgk4Xc2mXixQop1gModB8+5v7PLHX465HGvZ+k+VPY0p63LjrgaMOSep+KjU2ne8JuwdQdn1SIyp1QUrYEYJg8l+ZzWkPpGFuSvK977jM+P4gfd+3vOdrBzjAVde+nSQefmz/s+evEvGpppLG1i25IqlsHnfZHSkDvNDeY/+Wg70UWLpAUohCd0uRIj2N8OBvHqzxE/9tij1HQjs0cD1g519baWJnCxZjj/N95amm58uBZqVjPqv/HtfbiCrDjwG6/OKrxJIX/YEiu1nU4o93/LhstQM0xb44DtT5v5X0uC59P8to/v/b+/I4S4o6z29E5PGOqlf30VVd1VV9VB90czR0I9KCsoiCyAcVYdxx3B1X3BlE8V4ZHUVmR2FmBNFRdGdwUFb9IKgI4gwwojQMV3PT9EU3fZ91X+/MjNg/IiMj8qimG7ppYDY+n1eVLzNfvnyZ3/jm93fELwSXuS0EMsWWhMUsldGJsAqs8IGlc2u47tMT+AIDfvdQTgpqRg7yAw1fiKBy9D8BfEiZYhE55z0LpGQI7OCpawmE1iUhBKqCjGsBC+e0Tp952qpb87nMjJd4Rokyp7dTeNPPf6e3d+4wgR+CMjKhqjG/u1mLREkWmiJTmJk8FWpxX4LbyO1mTIL7zgez+NI/FrB+WwDuhK/bZHI5rjSRKQiEFywhS2YwLOOuvsjwtBiQY4sHXZcAt4jhPMwUNHYxhg0quQiTsRPGJwmjgabOTkyLbUgTPUUK1QOYlWxRabacgVcpFs+p4drLJ3D+24pSQ6TqcD9Frih9LsADHV7l0nde5kBZEJS5flV8EqTmIpQwPDCAfV9gYGBg+N4HXvhOY0v3jFwyI4MDQPusRaiWJzCyfw0oGYeaEsS2vDC8TkKWlg8ihP8VmxtSxZAmmrl9/T4iS4A7H8rir75XwAtbHOnrTolQhswNPQTNIZpYKDEHNMSSq4x1aYBPSI6IVCERGRNKlXBfQ8u8HM4FItoy3JbwlSsAcw1y6Bmok1FO5Q6EHFUTjAQiEdZWWYdSqiDIU+FBhhcJfOM6YQBAVWBpfw3f+MQEhADuDpk8/suMHFnCgx0kk6ukEx44vH0Anrr2Qt0bAosDLgMyQiZXWSSofdKYx/FLB9DSVMDB2kEBnq3rqtSqU3/R2NR9W3lyJG9bPhxLzoygGFoFCyKNaD0HEpcrGtwkeCk3ISHS+IRF8LuHM7jyuwWs2zZDlBIx9qY618Rk71CahDno6S5BaoBXAz5eGjkarjd+LuI6PH49UoGdWElCNIvYvtGSEiTU3qpz6BFAJJQq0fqGgRaHLA5EoFNqw3xynW0tT5vK0D4oQAQzZt9jIFUPy/pruPaTE+AC+NeHs9ovDkimJsxIzgoyqxQp6XBa+CHzqaUK2lcJUBEENSo7p3T1CvT3zZ5mlP5F/5zOyisGuF8b5YXm/jWWJSZ2rnsh79o1ZDNlOHYVjEqTQYSCk+jl4LZo9uZhJ6AhqBXg/TCgQ6iAYAT/9mgGX7ihgPVbFbhNF2BoCETATYkKx5veEmGwtpIZKZ6S4LJG/OGIsrPpIoyuJ+mgPlxwKyBDszoQZfjIMkFMlmj7ThbGNPU3QhYP/3M5ryTnFKoeIQIWD41TVdgk6DAUhjFKGFD1cVxfDX//qQkIQXDfIxmE1d9UhTSOKHubQ5XC1EEVNVI/UF8NAcADwRRlqHGZz59zHXzggrdPLFnUt2bf4Dh/xQDP5NtBqT1Umqhd1Np1wh8xfY+dz1bA7ApApJ3NfTlXowhqq5ggJyHIeShZtGHpawYnPigV4JTi/idcfPa6AjbuMMEdRBZCSWLJC0YI1AideJ63GYZn8dx1E/RxYBsWY0x96HVxwMPcMbZ8CM0c5BABu/KeBHkSio2jYf6g4lRCh4vQqCQpsiVudJq+cwhlbErjkICCQzK5DFwKiUkAqHIsmVPD9Z8Zx+Ue8McnMvBpzIsvqMHk6qUytkjo/tS/XPrRwX1Q7sMFl/fdymCkZuF971xZK1e9i1qaC0P1dbmDXtuDApwxB6XJzahrmL+bYvylxzc9uPCh53xQywV8D+eeOoWT5lfg+RZ83wIXLGIQKdYmREmZGbQ3AziluO9xF5/+VgM2bXdk+JEmXYBJ/Y3Q520RYWhvzeI6DJ8Es54LJmZYKmZO2YZIJ0ZkWdfWVuvIjFg/GJOHbkCjE6gjqhqvkWFrJB7tJIYmj7J4FOQChAclAgQPpuSWbj1Bg+kKDUwSKoKAkH7EUMEx0FvDP35+HFdcB/z+MVeCnAIRHR4BODF+nenr4FDJXIxXcdKCabz71IokUgis292HVSsGXlq2aO7uZ9fvwIlL5rxygEtwMtz0q3u3d3UULv3DM2eu/uHPngWYi3KpgnseHcL1VxzASfM9CEHluZknG7oMTSNTa29CBJgjK4P+/vEMPv2tAjbtdCCcuAswDnJlcBID3En2NsFsRi/TvCSmJFHLZiRT6W+TsU1/OAnvIomsT+sIETAH99qUHBCQxXWEZmaQmcALHRCKsLhI3TfJ3BSccG2EchpobgQGp5QzAAFhSraIEIvKA0gqHAM9NXz7s+P41LcKuP+xDLhPADvQTcqvmQB4YFWGF0SyN/U9LB+YxnVXTGDFQhulYhblisBoJbt2ij/9oX1b796eaZ0xvnPoAM/U9WNwpIjWpuxeUX3kwS3rd75t855pbJ/M4ZHnGvHrP07iuPlTYUKWLohogpunAFyA2sCOUQuPPO3gqh/WY9N2B8JJ83HHk6lUSQv5A2wCWEhGKpnB3nEgm4NYlWQhJnjDDm7odAO5IWATOuYQUJ2K9PT94wweCQSFr2jeimZq9V6E73kge0gwrC0sMxE8a1RJCjUyiHP5IJWDKIxHk5kUEtQ4ITWORXNq+M5nJ/C1Hwo89oyLHcMW4MQviOFhSTPbhUCGCHzgHUWsOI5gaH8D9g4WMFXphOUUvi7EyNozzv0GgG+87GWlL7sHgLbmHNY+98TmEwcavnPuOxaC8BJcAC1twAkDPii3ZT6xUL1SgVsGb0KdTQxZ4gKb9lq4+nv1+NTfNWDjDhPcZpUdU3ub8kQnUoVeE0BHJ4kIgRsGdXAQqQIN/ngxTYX0yG0ggC4RQcLOYILwZZEuDrI64hqMyw91mfWgY71/NFclWRFLs7hZWF9EwvXSeormsQTlKIJwvgr3K9uLI/ClVwkW9tbw3S+O468vn8CC7ppMRBF+8OUxXzkC37jJ7NRClTh4amMWQ4MuOHdQ9cpAdgD5jvcj2/aeQ4EtgENgcNWWLukFrMY1/TtH7li8eN+FYv1uLD9O4NTFGVTLHAJyCm0J6HQ5QmUSMmgG2LzbwtU3FvDL+7Io+zTI6Z4JzEqWRHU3I9Fyx6FhiajnJM2Q1PbBDJmEMU9LIpwfg2/Evjwc5kaclaUWCbmCKH+UfqybskNHyAPtT4QGOrQGN1lcBBKIc3UdiOFWVCUniBwsImT+OAwml5NiUd3zAFlBNphZgnoCHc0+PnxeCa4NfP179diy2wZcH9JdSKGtVONihU9pCx7NYPVaC/c8WsLx/Vm0dXTBbeq9Y6SyYE2WDh95gBO7A4+t3bV9yfGnX3HCmg2s3R1/70kDwPRUK2w6jYxTkaC2EAE3NYJBIAC1CbbstnDVjfX45b9nUYYJboIZ5QlVNZLkX1URVhmVTPm5DcNyxhf0dhOZgdIETaxDdCFFt5toV3OsHxbITadD+CQIgC2i7B0alDBZe6b99ABl7R8PPkP0AOawg4RPACVpqDQ+YYJfTvuuooqhDgg6AecAyhyuzXHR2SVAAFfdWI+X9lhSk8cliinvCAWojbxFUW9bWP1EHtyrx1Kn/663nHzaFb3+9h3EmnfI1/WQJIpqpy6djf1bntxx/tkr1q44vht5l6JcceF5VphtqMCtwu4RcLsE2w5Y+Nr363H7vVmUBZWFAWMRyfBlsjc0eys5ogxLk7ETUUuVF4MYW6v3QATsocyO6HESkzDGDUEKlk09f0jojv03AJ9IwAqWTOMylCOBtaqYGAmJQmJyJbleD142RgRFhrsZoX0jBVcPbDZcxjUgKzgufmcJV102iTkdNZlOKJRk0am14bog5yTLgHpHYHSCY8rrRGPHyrXPPbvxsMANHAaDqza7exaamruvLU5snVub3HOJ647BsjxYlpmP4kWADSrzgJ961sGNt+dw231ZVAnVM8ya4E4FdRTcmr0Dw5Ka0iTpFkx4RdKkCLSmjuekmOhOrFeYTpEuav3BcC0O8t50NmiWDsBpsK/yuohA2pDQuFTeEp1xGPWgBIEbpoxN6JLMoCCUy+NyKmsOCq6BL6g+ZtAT5W8V4ELG7Cl8cE/AtTgueWcJ4ALfvz2PpzcEE9OqHykCTwsBAA+CeCj7NibKgJNtREtb162LFi+7dseOXYcL18NjcACY1TUbL667bzxTt+ij83qmH2ptnEJddhpZpwTXKcOyqyCWD2oFJdwYQUkQ3PzbHC78fCNuvS+LKo2BWzn8Z9LeAbiV10RFLM16gqZhGfdxm7PEmfXNzbGXEclhgHcm3W1KGr0irswx4/sZi/6YRmXspT4XsjcMhk8Ef7RHJTpYIs3wNA1TnUseHxih5wbSDK6TuNQgZoPNg7gI9wDbF7jk7BLu/IdR/LfzS8hTXQ+Z+B6o54F6VVCvBForYqpcw4Eyw65i9qFTlvR+9PZf/+v4nDk9hw3ww2ZwAFi2/BxUJ1YXgYuqteHvYf/QFJ59kUFQByAOuC8wu93H8Qs9cCJw829y+MoP6jA2aQXJIQrYBJqlTXlCkuCHMirlSesqsLE5dUwmR7QD6MhqCpODRGSKBjtJAD/pTTkIrl+uhYakXjaBHmVxvV0FeUJ2J8JgaIGodEGE9XWqrQiNTdDA5w1IN6KAHMvJZcBHgZ4i+C5OwYOCUMLQ7dL1SI0KEwIUsrKmRYC2Bh/fvGwSjAr8+I4cOAOWLfTQ0+6B+wBAwSnDY+vyqM/24nOXnlddP0yLH3z/ea8Eqq8M4ABAs8cD4I+TujNO+8Z378/efGcGHiGAqAFlDwN9Fdxw5QS27mT46o31GJukEp0muE2mNkFNTeYmodfkYDOgURiATgVwdDnuOYmH5hOMbqyLsDtSll8B2A1cx/CvpYfaHobcI0YkwpkXNKADN3Xw9A/ZnQdTkKhccqqNUEZiGYgwg0NBhFMAAjxYF0gVriL7AaBDOgnAzqVk5Z5Ac72P//2XU+Ac2LaL4YYrJ7Cwtwa/xGQBIgA/u5dj09iJpVUnLXicscMWGq8e4JbdCCHGvlxyPiA2DZc/QzNbMo5FUK2UAH8KbS0cw8MU/3xHFiMTBwF3hMUV2gxD0wjohNKEakMyPnA4NC5pjL1TQB/psDGwS9DGNHkI+DQ069WCRLXfobgNI2RteFJMVg/liYr8zcDyWpsbhiYMFgcJE7NkBFW7HTkngTtQRGQLVDBIdQzToEVQENTQ5urUVeMB1IkQ4D7QXOC49MISvvXzPAaHKRbOoqhWspgq5eF5Ah88e3HZK/yXbwtCvtLaXPeKAc5e8ScBfP3r1wh0nPlgS73LWl3vtKnJEpsoeTht8SiuvXwMZ55SxdObHKzbbMMPXX3RgcHpvu+UgI4yLCnCMZYK6Oayki2RilUEYWHNcD01OgUNwGyk0jJjHVHLYUciwefUOhKRObLGHoGeSUxm7qlls0Opp1O4LtYJo8Zx9Hv07BKxzhgzqJFyzDTbw5ymT3d0Yci22Gxy8eWQFJTBGM/DkdsoEagJ4N5HMrjhp3V4fquNxX0eOptt7D3QgilvYTXf0H9tztr+Nw2tp3qvBqOvmMFVW9BYqbbPb73mKTpVpWL46kv6RuhFq4pYvlDArhPo6fBgU4qqMLU2ibJ36isAAswSDyIxaDgemYwXrD8Ye0eMTUN+JLQ4lMFqfjB6DGK+OVLNzEEhiEqPSI4KCfW0Cu7wILNAuW8Tg5QJDBZX4Xk1LAxapsAwRIFQqoBoo5Mpz4ry5EBKFxDldaEIMtED/e+j5gO79jNMT9l4ZF0el99Qj/e8pYq3LGzinbPmXr1/fN513uBY9VVcvRA/r6pd+ucfxGTZKy0YWHDHxeedIM5bnkFfZyNKpTx4jQY3IUhxNeuWgCBJK3FUBdobhjEZgC3hFlQgBFLYSRyUveLuv5CtFGgVlE2mBGLbk8YnYtsT+BXJ/zp4Y/4nkf1mOkYilTZhaJIk0IUa2qb0uQa0ipAmfOXxEH9ASKaxqWdl1uH9cNgbZwhTe5gFuHXYuLMNdz/YAZFdKWb3zL2DsVLphBXvf7XwfPUMDgCLF/TAo80vun7+Mr+IG4dG76fd7UVMT1LsHbJRgwWwoPJreNeFsWw2DR/N3iZzi0TYfMbckvgyUvoQSf+vdohr8BnBS1IXD9upkrw+0K5ik62hGFyztwoAqSeNDM8bOpuIKMihXdCmT1ul1MqyzEk9ruYGChlb6CeF+Rv05GVB4AmyypUAhUWBzhYP2YJARTB0NjBccu5K3jVr0WUdvd0v+rtHjgQ0Xz2DA8DJJy5DR32lyhasuKmjpfa55uY62E4JT2yy8dATdagiA1gZgLoAtTWDq7s3g8+YEEQGDiflSbSAT1yDRjpCGrBNXRl8rfk/AXiYxyDhmSYCP6/Ebxhj4kjCVWx9GquHPm9oAOvjxUFt1k+JznsjQtamBmNTmBKFx9haT3tIZvi9BFwweL4Fz7dRrbmAcLDq5BpWDhTBp8ooNLVgpGJ/bvnyFTe9tGW62j172ZGA5pFhcADo65+LWmmnj/6LtqDYMrlx/Z76a39aw8ahAoibA2FW4E7iAK8GYVl1Z9WQJk2bhCiftx5fqUbkJBOqRATUaQMaUjW4qTUi4DYEdrCjMqBM3JLoTtGOYG46SIv4toXRNwLmJfH+H/eqEJPdU/S64WaMlnvTejkCfqI7Cw1mMg4nBOYETHlRzFfkQuoTVZFsldPicwu+zyAA+L6NvuYiPnPxKEpoxwfee/rkRy5YuWX91gP+kvkDRwqWRw7gAEBYHszedxect37iuWHy7U07728W8NCQseFSWVZ3KqipDp8DxDeMTfP6kND8jJZ9MIE9gzEZAXMssgnMyN5RTT6DZDE+H55pRK4Q8yccFN+RmI4Cc3xjxMg0gRozNoNtqm6IBjKC4W7RYJAGe+x4UDIlCBYRw8AMwvhcBYDCfBcSBpvMFta6gQCoHAHkeRbKVRe+z8CYDyF8vP3kHBYdf/ZIiZ386U1bBu9aMLf1SELyyALccpoBADv3jd9yzqp3Wy/tzVz7f3/9UBstTiBjAxMViukxAZdXwOwSikUi6wtaQDhI1XCjWaYcgcnS5kAGo5Y30kCe3GbgMQpicx10J0Di80l3mT5o0pGSCvQYM0dG7ZAoIIkBdgiEK9Q+kY5gOKE1GxMwFQxCjMU5oAbphJo8yC4kRhBI63flcaGBzz/YV/0mBPeEcthWDczimC5SWJaA5WcxNZbDdMmBxTwQ1oiOWWcNLmw6/39BVG8hdO6RhKPE5BE/IoCezgbsGZr6l0s/+HaKqZFvPvboY22MClR8gQW9k5jbOYT21jLWPG9j9fM5TFSy0GW+tDyJh+HDZTqTHEHI/An2NsAsZ4wjM7B2zHuigGygNo3BD6pGZtgoXu5zMDQ4kvJDAd+UKZH3Qul0VWIizuIwWDoayqdCVnvV4VAaJH3rGdHCMnBBSq2yCyiR9XOmKxyrn3Tw6PMZtLcS9DRnYPECKlUbFuPINp80aBfOv5J73r8wu+VoQPHoABwAulrrcOttd940r7vOZ8t7v3XgwN7mWS0Cp51Qw8AcH/U5HwfOLeHy6wXufsiGYGpcUzxyGZuolUbZW7FtBOhpc12SKNPGVWOEodOMUmMfhPtGDxiXL0h5H2kGwgmQYOsEe0Mxd5rGNjW1IT0kzcqyxSLO4hr8stAPAaFaN4tQg5vGqZwqXBX0JpyCElWMP3jaEQHKfDzwtItPXNeBXeN1yGZtLOtiOH2hjeYCQ09P78hkue2LTz/xHzef/JZzjxYMj4wXZaZ2yQcvQM7lP1m0YM4nTzmhd3Lp/Aram2yUKw2YnC6gu8XB/3hPCV1tNX03iaxeZNEYuMP5fAxwG+yuga4LV8RBGmfppIwh+nPqvQI8RBTc6juAhESB+dmXaabvO/k+3W8tNwbsDGMbSHQQBGKSJT6cDWYnSXnF1ofZglzlgZvZhtrrQgmwZ4jgpt8WsOtAAW6mHjmWw4ERB09trIC4nZPZuu5P7tpX/cnRBDdwFBlctZZGwYVouJW1lr1ysfUnT27c7M7tqkNzgcK1qzh96STaWzh2j8kAECNygI9jVqcyQu4MiAFdsXY0/J2mvdMSrGBsD5dhHCfcTYE/KbDNJ0HE0DzUZigBRdgKgIQYLsOIRje8J8rnbEY2iYBpgCoPic4+RITF1fdyEUwyq0bmUAABk9PAb0nURkoBLuATGhAOBeXSabB/hGH12gysvIPWLEFnPUd7WxFze/vK9Y1tH3PszC/Hp0r8cC/V4bajDvBVb/8ABocH/Xw++/BL2/dMPvDUr+DXdrvL5nOwVoJ7H3awd9AFqAVCKTIUyFABm8o5dSLTbMd1NuL6WqQCOSItTCjGZUti3xjzm+uJCmyY0I4aq4fVFDhjHxVBWkc4kCHFm6JOI/JexDpG0AmIkjARtyDRFSAM74n6fgER5HfpQRIyI4sDnIGAQM7HJ5+ynm+hq6WGd6+s4lerCQouR18rx4fe21/ONbR9+I7Hm+6gmTH/k3/+kaMNv6MPcADIF1qRtbC30Dx32aJ5fW9rzrCbKX02t2/Ew69W53FgMg/iuMgxghwVcJnKGjQTqrQEieaexPJN4i9ykFdwfhFvidkRQhbXlmgC6OF3RNAfkTxpLeImRFSDm+CT6UnaMDTtPsW7iXA80RFNoQYbI43F9agg9aQIR/pAXlc9YkeeKw3kd+iKDIoDmVkE5YqLxryHC982hQfWFlGq5dHf11t03Fn//dx3z/rVyoH9onXe0Qc3cJQ1uGo5m4AQ4m97/o59f3LJrbctGWj+GHHbx//2Z3n89vFWUCePOpuingnkLAGXCdhMBCUhUqbcjmlvkCjwU+UIoto7WJEwRIEUeZIwIKODI4AoyJOwTgd6JOJorItHNdX2cJPxRo/uMfV30vsiPxYwswIn1+XadEllGHkk6Xko6uVzCt9n8H2GmmehWrNQrdkoVVwUy3U452SBr3x4ECctax+nudkfu+DSHbf9+JZh0Trvw68F7A5y5Y9i273hB/j49wpYscD7yM5B/7oHHtvSMjoyhjqHSkBTEQNvdBROomKVAjfFjMyuU2NJymd1umz6cpAeq9ZTfRx5bCMtlpLARRlNo6XByUdSbBE9N4LAjkBaKm/QeakaEGWmAxu/nWqDnBDDMKdGtNeYpFfPu6QIQoTHiU6zHp2ePTS4DeNbTUgmp7TxwWgV2VwD6lsWD1d55rMtPaWffPbqTlz/tT97TfH2mgNctf0HxuA41kdvvevha37yi/vbRsYm4FgsHFoWD4Ik/NhxgMcATRP7pYA7AiRiHI8YYCL6WMEyMQAfdgAFaKMDANH1BPJ7gOQTRvvnZzrHKMij5aBFAuwmKOV0M2ZKgwg7jp59Wm0XOnee6u26Qxj3x8iJAXTHAfHgugV09L5rsKHz7V8SvPYjJ9N8THD2mmjwtNbR3oiJyekf/en7VhHXwjd/evu/t42OTsCyGFRJMS7UzL7yYsbdc2a67EzSJJQWCSPRWDbdg4Y8Mf8rXQ0DvGbHUevNQcjxANHLNQGEmX0BfrSRiaQGV7o91NUk6QMnxsH1fob7MJA2qg44VYEfInPKafC9QBCmD75ZhfBl9SsY6zxksi1o7DpnsLHzzCsF8CMnU3+sYHbsAA4Ahfo8Jianb7rgXad6WZdd/9t/W920Y/dQkFcBeL6cYo4HdzPVaERyfehhUetN2JEY5kxAByvMzyHeSRD9bvMwieiRuTEWvDGNsjDErXaLAzg48Qh4lVeEIIxQEhH9LtUjQkMy9l7trACshq0pY1Odmgrfy/fBMSC1u+dTeD4Nv5Q5s9DRt2q0pWvFFzjEjx0nfywhdmwBDkiQ12rVW9591ikj+/bunbdwQd/fPfDgY7Y02BhqPsLRKZEQubFAZgL/DK+4288EecTgDI+rvSJhhzFZO9w3GUBKnnCsmdmB0KBW78P1ImZAktj7uJ8c+mU+DWC8V+9EEJsXMHNTRNT9SPQnlS0kAHg+Q7FE4HOB/gWn1Dye+WLrrJVbGMvdbdvHHF7HHuAAYNsOX/PMxrve/77znA0bNhULOfb9Z559jhwYK9HhaWm9u5aIgBlIAjvpRYmOvjEf12aInIgo2CP5JaZcibN6+DLyV1JkyozYNtGHOPB0wFKDM8riMMEeoplo1JtsHh47yt4QMnuQcoBTud4sKWHM4REeixDAsT0IS2DPIEPFa+TzB5aKxrb5l8/umXvz2Oieai6/6FjDCsBr5CY8lLbixIUYGdxX7evpuKWnp2/Jf71g4VfPWtWIsiihVI25BY0WBzc1wW2wa/yDIuUcdLVYg60NYKuIqekhUQg2Wd58Hx479l2REDpUFDEWtkcsTB9/L6LfEHElwuhAKd8daujQNaj1tHYTmgcLjh8U+nFtHz4fxc7xBuwrLvpqd3ffkly+85Z9+4arTW2vD3ADrxMGV+3EE5YAQGn3pts3dS046Zonfmg7xx/X/OXtL+5iNqmAUAKfa22oGoH2PkTceOYOh9jieSU0AnS50nQThutjnSphpBr/I1IkMBzVdhHM1hFncg6ARZKrjEHDIs7ixve9DMgl4cuTIJSEtb5F+M3qKSkP5PkEVY/DdbJoaZvjn1no+NsTz/zINUX/Lv/LV5x+rKAzY3tVZSOOVrvuu7+AaHun+Oplf/rH+37zMzfrYGW5OGa5VhkjU0HmmuHiU/kqjOnZcZnB3hGpnSJnCCVhaQizk8j6Q0T7v2dwE0ZLRERlTBzk8YgpjG2I7BdbRZK/IfJkIUnXaNrTTV+PeGKVPlntSlSzWgO2xeELD/tGMrCdNnT0vrXSPe/iv5/dd9Zf793YI84790PHGjap7TC47bVvI6MT8DwflJJvbtu27bStG39Gb7lXnLbxxUmrkGOwLQKLCtgMsCzApgRMzVsF/UjnXDOiAkgkr5ySICWAgDL5nxmAppQYoDdBnQL2uOfFuMppoftIJBQxYNIkQCN+7qDEIwuXzf9GYVIa+LShmFg+CTjXUkT5yy0mYDE5dbttBZP+Uh+uU8G0V+fd/UjjI5d++GLe09v3CCCuJGBwMgefq/JYttc1wM127Q/uhG3b9RMTk/9n84vbLt65ay8tFkvIOAyuDTgWgW0BNgNYMLW0zwV8X07GK4KZ6kxWYwowBsBlBwmeAkGUUu+TBLcZ2IkU4oGWNGZTI82VLz28EYZxq5iWzgByRpMAZ0HQhzERApzFwK6ilgh0tscpPE/KPgL5WdvicCxZ29u2fTBWhWNnUd/QwZtae37huvmP+7432d7/J8caEofU3jAAB4Dn172EfC7TumXbnivu/eOTS/cPjl34wvotaMgz5DMMrk3g2IBtSVaqeQLlqkDVC4aAQjOgAoQCchzgTAGcRgFugjlR2SrC3FqKmPVMhIiZtya7x1kc+hzjqQUK5EyBnAnjv5GoxoLJU5mOWAIA5wSVGkWpQlGryZWWxZFx5Muxa8g4ZbR2zIVlN93R2rVibV2h+wbPKw3VNx1eje5j2d5QAFfthY070NhQN+fxpzZ8+7m1my58+pm1KE5PorHOQn3eguvK8YJTRY6RCY5ylcsoXMh4xACGArLU7yx4ArAEyElMg8cjmTrnJCJPAO0pMQIpYTqrugkG6yfcnyml5lhMnkhpYQIcQV6I3MdiPMLuQhCUKhYGx2xMTstp0DMuR971kM9U0NiYR1fPIrR2DtzR2LL407Xq1PZcYc6xvvWH3d6QAAeA3XuH4Nj2/HUbXjp+cnr6inXrNp6xZcsmMJTR3OAi4xAUK1U89WIFe4cp8g7gWAK2FYwWsggsA/Dy8U5gsQDYIcgDdmcK4CQAIYkZdGksLpvp5uNcRIEe3gjTwEsZ7W8O+gjliAQ2o/o/Y8JY5rCoZG/LErADbe3YPnKZGnYPWXhyfR7TJfn0q8v46OnKY/6CeZjdM3+17eZuaGrtf4773uZM7siOdn+t2uvKTXg4rXtWKwBsFkJsBrCWCG/WypMX/3Bw75b5E8NrGUMNzY0lDJansWZrPXoamHykB5E6mL7l4JihTZgAlwY3pVFwhxHMNA8GDENXBHYAZAY3VyA3E8moPAs1fDcSGVWzXRuGa+giNH4LYr8h7hWxLI6sW0N78xgeeMHBwy9YaMlR5LI2zj7zJP+kEwY2U1L9n939b90LYFOaHfFGam9YgKsW3IBNg0Mjm7jvv6urPdvN2Am3P/Lwg4X2lhfzJy/cjweey6BcsZB30gM86QdW8kDLE0Zp6KEJc78NwzCUEyogBCOnm2tftZzYQEg2h+HZAQKNrEAVbA+ypgSCzgndiTghYFTFG8XL/SQAAo4tcGDMw5r1FILk8Y5VPdMrTz1jwvP4RV3dvbsZY9vf6MCO/uY3SRPSVUKHRyYbxoa3vqW5UPmn3z241vun23Y0VyZG623qwQ60qmNT6XExvChKolgMsBiBbVFYFg3WUSlTUvzUpscjNACNHbgAPB+oedLw9TwOz+cR45OErkkayRmP3ylKAvnEACdwjzqWkG5SS8kTETE2pTzxYTGOjCuQzXB0tGcmN48sGanRU6yORnbpsuPmPmrZdeOcC/5qCs6/3tobnsHNRuQznhcn94zmu7vu4bXhgX/++c2V66/60efvuf+xP1u/4aVarVJcVKnVMpXSNATT0+UJM0MpPKDUwxajsCwJKhIQ5UyywDQAlcfCD6SJ70tZ4vkcnifgB/O9qw4mpY40AM2MQzn6RhiRR3lyPgWsFNKmBLLQfDC/KqMcdjYHSq1yJuduaGqfa7f0nnrLLb+76B/Oec/tbktLQ3n77kk+v//YpbUerfamYvC0tm7jNti2RX7zu4dQyDusqSH//fHJ0sCWl7atGhnez4rFMqZLHnyvhlzWguswMAbYjMCxKTIOQ8ZlcGxp1BFIRva5ZGVuuB8ZA2wLcEI2lYD0OVCuEkyXgKmij2LJR6XG4XOZ7mpRAssynxg0fAJwAfi+gM+5rBYLAhaeG0HWBVxHyO+jgMV8uHYNjmOhUrNh2Rl0drb5HZ09D4HmNnm1qctcq+x39b0NnHuivrHvWN+io9reVAye1pYs7AM0GXpDw2MfdzNu09Dg0Dfuuff3zoubt/ulmrOcMXFytTiKqakpVABkXTt0EToOkHOlhwKCoOYDlRogPIQ6miHwoRPAsgQyjoDrcDAqAU4pRaVK4fsCpYqPUoXD55LpHVuKdtWBlG8eAIQvtXq1xuH7ksWtIJBlW/IRwQgHER6qNQFm5dExqx2OLZ7ce4A/1dgyhy07+cxqobH5r2rV6mg213isb8lr2t70AI+31pZGABgF8JcA8Itf/wEgOAO8do5FSheNTUwvHJ8oYv2GzWCWkGFq5qE+6yOfpah6NoplAgiC6ZJAtcqlbGBSqxMC2Ewg43LU5TzkXR8Zl2Ns0kap7KJS49g7IjA2RZB1OHIukM9KX7VrS7liMxmVJUQy/5QnUKn6KJUFimVZFq2QZ3CsLHItLprqKWZ1zwNhWRCa29jd6d6ez7J75y3A6q65Zx3rS35M2386gMfbxe97BwCsHh8fWw3gwXK5Nm/fgWG+dftePq+vvX9Bf/uXKlO70NbMsXPPLoyOFtFcTzA6LbD7AINrSZ+6YzFQypB1CSwLyLk+WgoVNDVMYNNuAS4yaG6ox5oNBMQto871sXWni/Y8BWMCri0LOzAm4DryvW0BTYUahkancWCEoqneR3t7PeoKs1HIAsctmgObjF5D+fDWxUtPo5lcExWwtgC4p6mp6Vhf2tdF+08PcNUaGhoB4B71fnR0CJbtNI4M7Xtk7y6Czma/NlTr/8ziWfY7e9sF2ger2LL3aXB/GoJQVHygjjpgzAdFGRatopAfwwPPFfHz+xqweI6PZXMm4TgZnLGogsV9Rfz0DwxrnisgaxM4jKKx4KChPovWRh7mhsxqz2Fg6enYP5LDnE6BXLZy3+oncX1zvbAXLz4O3d2zVlcq1bH29rZjfQlfl+3/A3yG1tTUCgBjAO4EgP94ZhdaZ2FDWz06ZjULTusqyNe9iOpUBYxS+Byo1PzaiScuv4ph8nzHKtea2kfBtlKcu6oepywuYrLowK63MVWqoq5A8b6zSsjmMuhuYGiod+zO9obfHti99qp81rI9X3o/8vk6LDh+GSam82hrErTQUNt/0inYSsiRLzX8Zmxvei/Ka9k2rH0UADqKU/sbgLLobBnH6mcs5J0cli+axPptWQxPWFi/rYblAy6yuWk8+CxDW52F+rxL+ufMGudC7H/Hma+/gQNv1Pb/ANcixb9XAJNHAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE2OjQ2OjA4KzAwOjAw8CJWkAAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNjo0NjowOCswMDowMIF/7iwAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 21493000
{'hecke_orbit_code': 137472507950, 'n': 1, 'trace_an': 10}
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id: 21493001
{'hecke_orbit_code': 137472507950, 'n': 2, 'trace_an': -1}
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id: 21493002
{'hecke_orbit_code': 137472507950, 'n': 3, 'trace_an': -4}
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id: 21493003
{'hecke_orbit_code': 137472507950, 'n': 4, 'trace_an': -1}
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id: 21493004
{'hecke_orbit_code': 137472507950, 'n': 5, 'trace_an': -6}
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id: 21493005
{'hecke_orbit_code': 137472507950, 'n': 6, 'trace_an': -4}
-
id: 21493006
{'hecke_orbit_code': 137472507950, 'n': 7, 'trace_an': 3}
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id: 21493007
{'hecke_orbit_code': 137472507950, 'n': 8, 'trace_an': -1}
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id: 21493008
{'hecke_orbit_code': 137472507950, 'n': 9, 'trace_an': 9}
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id: 21493009
{'hecke_orbit_code': 137472507950, 'n': 10, 'trace_an': -6}
-
id: 21493010
{'hecke_orbit_code': 137472507950, 'n': 11, 'trace_an': -12}
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id: 21493011
{'hecke_orbit_code': 137472507950, 'n': 12, 'trace_an': 7}
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id: 21493012
{'hecke_orbit_code': 137472507950, 'n': 13, 'trace_an': -14}
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id: 21493013
{'hecke_orbit_code': 137472507950, 'n': 14, 'trace_an': 3}
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id: 21493014
{'hecke_orbit_code': 137472507950, 'n': 15, 'trace_an': -13}
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id: 21493015
{'hecke_orbit_code': 137472507950, 'n': 16, 'trace_an': -1}
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id: 21493016
{'hecke_orbit_code': 137472507950, 'n': 17, 'trace_an': 15}
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id: 21493017
{'hecke_orbit_code': 137472507950, 'n': 18, 'trace_an': 9}
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id: 21493018
{'hecke_orbit_code': 137472507950, 'n': 19, 'trace_an': 2}
-
id: 21493019
{'hecke_orbit_code': 137472507950, 'n': 20, 'trace_an': 5}
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id: 21493020
{'hecke_orbit_code': 137472507950, 'n': 21, 'trace_an': 1}
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id: 21493021
{'hecke_orbit_code': 137472507950, 'n': 22, 'trace_an': 10}
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id: 21493022
{'hecke_orbit_code': 137472507950, 'n': 23, 'trace_an': -1}
-
id: 21493023
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