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mf_newforms • Show schema
Hide schema
{'Nk2': 448, 'analytic_conductor': 0.8943245026383403, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 16, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': 1, 'char_values': [112, 4, [15, 85, 17], [4, 3, 4]], 'cm_discs': [], 'conrey_index': 29, 'conrey_indexes': [29, 85], 'dim': 12, 'field_disc': 20138089353117696, 'field_disc_factorization': [[2, 16], [3, 2], [184777, 2]], 'field_poly': [64, 0, -48, -16, 8, 8, 2, 4, 2, -2, -3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [64, -192, 288, -144, 164, -376, 552, -288, 76, -4, 8, -4, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511623549386864, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 16, 5, 1, 4, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '112.2.m.d', 'level': 112, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '112.2.m.d', 'nf_label': '12.0.20138089353117696.1', 'prim_orbit_index': 5, 'qexp_display': 'q+\\beta _{2}q^{2}+(-\\beta _{2}+\\beta _{10})q^{3}+\\beta _{1}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '112.2.m', 'trace_display': [2, 4, 4, 0], 'trace_hash': 573389570739243135, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.471', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.350', 'prec': 17}, {'__RealLiteral__': 0, 'data': '466.411', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '41312.710', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.258', 'prec': 17}, 'traces': [12, 2, 4, -6, 4, 4, 0, -4, 0, -4, 0, 8, 0, 0, -24, 10, -8, 0, 0, -20, 4, 14, 0, -8, 0, -20, 4, 0, -4, -28, -8, 12, 0, 8, -4, -16, -20, 16, 0, -8, 0, -12, 16, 14, 40, -28, 16, 16, -12, 44, -16, -16, 4, 64, 0, 6, 0, 14, -16, 60, -20, 8, 12, -18, 32, 12, 24, -28, -4, 20, 0, 6, 0, -38, -40, 48, 0, -76, 24, 24, -44, -16, -20, 8, -8, 38, 0, -14, 0, -40, 0, 32, -48, -24, 0, -16, 48, -2, 32, -32, -56, 12, 0, -100, 0, 42, 48, 20, 28, -16, 24, -24, -32, -44, 20, -54, 68, -28, 0, 4, 0, -36, 16, -16, -28, -18, -48, 16, 8, 12, 4, -60, 0, 22, 0, 20, 0, 36, -40, 8, 40, -60, 40, 64, -32, 60, -4, -6, 52, -36, 0, 36, 0, 2, 24, 12, -64, 16, -8, 124, 16, -34, -48, 12, -56, 48, 0, 36, 0, 12, 76, 26, 24, 120, -20, -30, -64, 20, -8, -28, 68, 12, 0, 52, 0, 12, -32, 0, -4, -32, 0, 20, 96, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, 0, 1, 0, -1, 0, 0, 1, 0, 0], [-1, -1, 1, -1, 1, 1, 0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, -1], [1, 1, -1, 1, -1, -1, 0, 1, 1, 0, 0, 1], [-1, -1, 0, 0, -1, 0, -1, 0, 1, 0, 0, 0], [-2, -2, 0, 0, 0, 1, 0, 0, 0, -1, 1, 0], [2, 1, 1, 1, -1, 0, 0, -1, 0, 0, -2, 0], [1, 0, 1, 2, -1, -1, 0, 0, -2, 1, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, -2, 0, 0, -1, 0, -1, -1, -1, 1, 1], [1, 0, 1, -1, 1, 0, 1, 0, 0, 0, -2, -1], [0, 0, 1, -1, 0, -1, 1, 0, 0, 1, -1, 0], [-2, -1, -1, -2, 1, 0, 0, 1, 0, -2, 2, 0], [0, 0, 2, -1, 0, 1, 1, -2, 0, -1, -2, 0], [-2, 0, -1, -3, 0, 1, -1, 0, 1, -2, 0, 1], [0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0], [2, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 1], [-1, -1, 0, 0, 0, 0, -1, -1, 1, -1, 1, 1], [0, 1, 0, 0, -3, -1, 1, 1, 1, 0, 0, 1], [1, 1, -1, 1, 1, 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2, 3, 1, -6, 8, -1], [10, 8, -4, 0, 2, 0, 1, 0, 0, -3, -3, 2], [-5, 0, -8, 1, 5, -1, -4, 0, 8, -4, 3, 0], [8, -2, 8, -6, 0, -2, 4, 2, 4, 6, -8, -4], [1, 1, -2, -6, 0, 4, -3, 1, -1, 3, 1, -1], [14, 2, 2, -2, 0, -2, 4, -2, -2, 0, 0, 2], [-3, -6, -4, -4, 3, 3, -3, 0, 0, -6, 4, 2], [4, 4, -6, 2, 0, 4, 1, 0, 0, -5, -1, 2], [-6, -2, -5, 3, 0, -4, -2, 2, -6, 1, 7, 6], [-3, -4, -4, -4, 1, 8, 0, 0, 0, -8, 0, -4], [1, 0, 6, 1, -1, 1, -4, 0, 4, -2, -5, 0], [-3, 1, 7, 3, 0, -2, 3, -1, -1, 6, -6, 1], [-2, -2, -7, 7, 4, -1, 3, -2, 4, -3, 3, 4], [0, 0, -1, -4, 0, -2, 2, 8, 0, 4, -3, 0], [-3, -2, 0, -12, -1, 3, -1, 0, 0, -8, -2, -6], [-11, -3, 2, 2, 0, -4, -1, 3, -1, 7, -3, 1], [-4, 4, 7, 3, 0, 3, 5, -4, -2, -1, -1, 2], [-2, -2, 6, -6, 8, 2, -4, -2, -2, 0, 0, -2], [-8, 0, 10, 0, -8, 2, 9, 0, 0, -5, -3, -6], [-4, 0, 6, -2, 0, 5, 3, 0, 2, -2, 0, -2], [-3, -3, -7, -5, 8, 6, -1, -3, 3, -4, 2, 3], [-1, 0, 12, -7, 1, 7, 4, -8, 0, -4, -9, 0], [-8, -4, 2, -6, 0, -1, -1, 4, 6, 4, -6, -6], [12, 0, -4, 5, -12, -3, -3, 2, 0, 1, 4, 0], [-2, 6, -5, 1, 0, 0, -2, -6, 4, -3, -7, -4], [-5, -5, 8, 0, 0, -2, 5, -5, 1, -13, -7, 1], [14, 4, -6, 12, 10, -2, -3, 0, 0, 11, 1, 6], [-2, 0, -2, 0, 2, 0, 1, 2, -4, 3, 5, 0], [6, 6, -6, 2, -4, -4, -2, 6, 6, 0, 0, 6], [5, 0, -4, -1, -5, -1, -2, 4, 4, 0, 1, 0], [6, 6, 7, 7, -20, -9, 3, 6, -2, 3, -5, -2], [-22, -10, 1, -4, -12, 3, -1, 0, 0, -6, 5, 0], [-5, 0, -6, -2, 5, 1, -1, 6, -2, 4, 10, 0], [-4, 0, 14, -2, 4, 8, -7, -2, 4, -3, -3, 0], [-7, 0, -4, -2, 7, 0, -4, 8, 4, 2, 4, 0], [0, 0, -2, -3, 0, 3, 5, -10, 0, -5, 0, 0], [3, 3, -3, -1, 16, -2, -7, 3, 5, 2, 4, 5], [0, -4, -2, 2, 4, 0, -1, 0, 0, -3, 5, 6], [0, -6, 6, 4, 0, 2, 0, 6, -4, 4, 6, 4], [-10, -2, -7, 4, -8, 5, -5, 0, 0, 8, -1, -4], [6, 4, -2, 8, 0, -10, -2, -4, -2, 10, -12, 2], [2, 2, 4, 4, -16, -2, 4, 2, -6, 6, -2, -6], [0, 0, -8, 6, -6, 2, 4, 0, -2, 6, 4, -2], [-2, -2, 6, -4, 0, 0, 2, 2, 4, 4, -6, -4], [9, 10, -4, 2, -1, -11, -5, 0, 0, 8, 0, 10], [-3, -3, -13, 5, 2, 5, -2, -3, 1, 8, 12, 1], [28, 12, -2, 11, 16, -4, 4, 0, 0, 3, -2, 8], [-6, -6, -2, 2, 0, 2, 0, -6, 2, -4, 4, 2], [-5, -1, -3, 1, 0, -2, 1, 1, -7, -2, 10, 7], [12, 0, -2, 9, -12, -7, 3, -2, -8, 3, 0, 0], [-12, -12, 7, 1, -12, 4, 12, -12, -4, -15, -7, -4], [1, 0, -6, 0, -1, -5, -3, 14, 2, 6, 2, 0], [-4, 0, -10, -10, 4, 2, 1, 6, 8, -1, 3, 0], [7, 4, 0, 3, 3, 0, 3, 0, 0, -2, -1, 2], [0, 2, -2, 6, 0, -8, -2, -2, -2, 8, -8, 2], [13, 4, -1, -2, 9, -2, -1, 0, 0, 1, -2, 0], [0, 10, 12, 2, -10, -7, 10, 0, 0, -1, -5, 0], [-8, 0, 1, 2, 8, 4, -10, 8, 0, 4, 13, 0], [-1, 0, -4, -2, 1, -1, 3, -2, 2, -2, -2, 0], [5, -4, -2, 18, 9, 2, 0, 0, 0, 12, 4, 4], [2, -2, -5, 7, 0, 4, -6, 2, -2, -3, 7, 2], [-8, -8, 7, -5, -20, 4, 4, -8, -2, -11, -5, -2], [-7, 0, 8, -11, 7, 9, 10, -16, 0, -8, -9, 0], [-2, 0, -8, 4, 2, -6, 5, -6, 0, -3, -3, 0], [1, 1, -14, -6, 16, 6, -5, 1, 7, -1, 5, 7], [13, 1, -2, -2, 0, -2, 1, -1, -1, -1, 1, 1], [3, 6, 8, 6, -3, -3, 5, 0, 0, 10, -6, -6], [4, 4, 1, 3, -4, -3, -1, 4, -2, 7, 1, -2], [6, 10, 7, 5, 0, 5, 5, -10, 2, -3, -9, -2], [13, 0, 9, 2, 13, -2, 5, 0, 0, 3, -2, -4], [24, 0, -2, 1, -24, -3, 1, 2, 0, 1, -2, 0], [11, 0, -13, 10, -11, -7, -4, 8, -6, 7, 16, 0], [-11, -11, 9, -1, 0, 2, -5, -11, -1, -4, 6, -1], [4, -4, 4, 3, 8, -2, 2, 0, 0, -1, 4, 4], [-11, -2, 6, -18, -9, -3, -1, 0, 0, -8, -2, -6], [-2, -2, 6, -8, -6, 7, 1, -2, -10, 6, -2, -10], [4, 2, 8, -14, 2, -7, 0, 0, 0, -3, -3, -4], [-5, 0, -2, -11, 5, 3, 6, 4, 0, 2, -1, 0], [8, 8, 11, 1, -20, -8, 4, 8, -4, 1, -11, -4], [-15, -12, 10, -7, -3, 4, 3, 0, 0, -4, 1, -10], [2, 2, 1, -3, 12, 3, -1, 2, -6, 9, 1, -6], [0, 0, 10, 9, 0, -4, 6, 0, 0, 7, 0, 0], [-6, 10, 4, 4, 0, 5, 3, -10, 4, -4, -10, -4], [-11, 0, -4, 0, 11, 0, 8, -12, -4, -4, 0, 0], [-16, -6, -6, -4, 0, 2, -4, 6, 0, -4, 10, 0], [-8, 0, 2, 12, 8, -6, -5, -6, 4, -5, -7, 0], [4, 4, -11, 9, 12, -2, 2, 4, 2, 7, 5, 2], [-14, 4, 6, 4, -18, -2, 3, 0, 0, 9, -5, -6], [1, 5, 0, 12, 0, -6, 1, -5, -9, 5, -1, 9], [4, 4, -10, 4, 14, -1, 3, 4, 4, 0, 0, 4], [-12, -8, 1, -11, 0, 7, 1, 8, 2, -7, 13, -2], [14, 14, -4, 2, -10, -4, 8, 14, -4, 8, -10, -4], [-9, 0, -5, -8, 9, -1, 4, 8, 2, 3, -2, 0], [-4, 0, 6, -2, 4, 6, 5, -10, -8, -1, 3, 0], [-4, -4, 4, -16, 16, 8, -4, -4, 0, -8, -4, 0], [5, 5, 4, -8, 8, 2, 3, 5, -5, 1, -9, -5], [6, 10, -3, -4, -4, -1, -1, 0, 0, 2, -7, -4], [-4, 4, 12, 4, 0, 5, 7, -4, -2, 0, -2, 2], [-4, -4, 7, -3, 16, -2, -6, -4, 4, -7, 1, 4], [6, 0, 6, 16, 0, 4, -2, 0, -6, 4, 2, 6], [9, 8, 1, 10, 1, -8, 3, 0, 0, 3, 2, 12]], 'char_orbit_index': 13, 'field_poly': [64, 0, -48, -16, 8, 8, 2, 4, 2, -2, -3, 0, 1], 'hecke_orbit_code': 13511623549386864, 'hecke_ring_character_values': [[15, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [85, [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]], [17, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 16, 128, 32, 128, 64, 64, 16, 128, 64, 128, 32], 'hecke_ring_inverse_denominators': [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, -1, -1, 2, 0, 2, 0, 0], [2, 0, -4, 0, 2, -1, -1, 0, 0, 0, 2, 2], [2, 0, 0, 0, -2, -1, -1, 0, 2, 2, 0, 0], [2, 2, 0, 0, 4, 1, 1, 2, 0, 2, 4, 2], [10, 6, -4, 4, 4, -5, -1, 2, 4, 2, -4, 2], [-2, 2, -4, 12, 0, -7, -3, 2, -4, 10, 8, 2], [-6, -2, -4, 4, 8, 3, -9, 6, 8, 2, 4, 10], [-2, 14, -12, -4, 20, 5, -7, -10, 4, 6, 4, 2], [10, 10, 20, 28, -12, 3, -1, -6, 4, -6, 4, 6], [-58, 6, 12, 20, 52, 5, 17, -2, 4, 6, -4, -6]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-48, -16, 8, 8, 2, 4, 2, -2, -3, 0, 1, 0], [96, 272, 144, -32, -52, -34, -32, -10, 12, 15, 10, -1], [0, -48, -16, 8, 8, 2, 4, 2, -2, -3, 0, 1], [32, 48, 112, 64, -12, -22, -16, -14, -4, 5, 6, 5], [160, -80, -144, -96, -12, 26, 16, 18, 12, -3, -10, -3], [160, 48, -144, -96, -12, 26, 16, 18, 12, -3, -10, -3], [-64, -48, 16, 24, 10, 6, 2, -4, -5, -3, 1, 1], [-480, -336, 112, 256, 196, 26, 0, -46, -44, -19, 14, 13], [352, 176, -144, -192, -52, 2, 8, 34, 32, 9, -14, -7], [-672, -368, 272, 384, 172, 30, -32, -58, -68, -17, 26, 15], [256, 208, -96, -144, -72, -6, 4, 22, 30, 9, -8, -7]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '112.2.m.d', 'level': 112, 'maxp': 997, 'weight': 2}
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{'Nk2': 448, 'analytic_conductor': 0.8943245026383403, 'char_conductor': 16, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': 1, 'char_values': [112, 4, [15, 85, 17], [4, 3, 4]], 'conrey_index': 29, 'cusp_dim': 28, 'dim': 24, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 824667275376, 'hecke_orbit_dims': [2, 2, 8, 12], 'label': '112.2.m', 'level': 112, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 36, 'mf_new_dim': 24, 'num_forms': 4, 'prim_orbit_index': 5, 'relative_dim': 12, 'sturm_bound': 32, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [24, 0, 0, -2, 0, -12, 0, 0, 0, 8, -4, 4, 0, -2, -16, 2, 0, 10, -16, -28, 0, 18, 0, -24, 0, -12, 24, 0, -8, -24, 0, 0, 0, 12, 0, 0, -8, 0, 0, 20, 0, 0, -28, -26, 0, 0, 0, 52, -24, 18, 16, 16, 8, 32, 0, 14, 0, 26, 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0, 78, 0, -10, 40, 112, -40, -24, 160, 72, -80, -56, -8, 62, 112, 136, 0, -72, 0, -36, 40, -104, 24, 76, 120, -100, 0, -12, 64, 98, 16, -130, 0, -228, 0, 96, 44, -8, 72, -68, -80, -72, -80, -82, 184, -56, -80, -316, 0, 110, 0, -20, 36, -60, 32, -48, 144, -170, 16, 88, 48, -76, 0, 42, 0, -60, 0, -76, -80, -8, 32, -144, 160, 196, 0, 88, -28, 72, -40, -124, 0, 12, 0, 32, 156, -128, 16, 52, -80, 320, 0, 80, -60, -144, 120, 56, 0, 0, 0, 34, 160, 106, -80, 212, -64, -64, 0, 68, -96, 36, -16, 70, 0, 168, 0, -8, 32, 124, 0, -132, -176, 104, 32, -116, 64, 24, 72, 62, 0, -18, 0, -104, -48, -98, -128, 88, -224, -80, 0, -44, -224, 34, -80, -200, 0, -264, 0, 64, -44, 36, -64, -64, 208, -48, -64, -24, -168, 8, -160, -184, 0, 208, 0, -60, -96, -136, -128, -100, -72, -30, 0, 120, 112, -56, 8, 120, 0, 12, 0, 160, 88, -28, -40, -192, -160, 72, 80, 100, 56, -8, 0, -84, 0, 140, 0, -8, -36, -64, 0, 168, 96, 108, 64, -184, 28, 112, -80, -12, 0, 72, 0, 156, -216, 120, -32, 328, 56, -72, 160, -32, 160, 164, 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-128, 172, 0, 56, 0, -86, -368, -64, 112, 4, 144, -56, -232, -152, 284, 168, 128, 48, 0, 146, 0, 8, 200, 36, 96, -160, 464, -164, 0, -164, -40, 28, -152, 170, 0, -56, 0, -180, 128, -120, 160, -88, 8, 44, -192, 24, 48, -48, -16, 26, 0, -96], 'weight': 2, 'weight_parity': 1}
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id: 96907
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '112.2.m.d', 'source_level': 112, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '112.2.m.d', 'target_level': 112, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 96908
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '112.2.m.d', 'source_level': 112, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '112.2.m.d', 'target_level': 112, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 96909
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '112.2.m.d', 'source_level': 112, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '448.2.m.d', 'target_level': 448, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 96910
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '112.2.m.d', 'source_level': 112, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '448.2.m.d', 'target_level': 448, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 96911
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '112.2.m.d', 'source_level': 112, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '784.2.m.h', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 96912
{'conductor': 112, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '112.2.m.d', 'source_level': 112, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '784.2.m.h', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '112.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 96913
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '112.2.m.d', 'source_level': 112, 'target_char_orbit': 24, 'target_dim': 24, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '784.2.x.l', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 96914
{'conductor': 112, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '112.2.m.d', 'source_level': 112, 'target_char_orbit': 24, 'target_dim': 24, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '784.2.x.l', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '112.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 96915
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '112.2.m.d', 'source_level': 112, 'target_char_orbit': 24, 'target_dim': 24, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '784.2.x.m', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 96916
{'conductor': 112, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '112.2.m.d', 'source_level': 112, 'target_char_orbit': 24, 'target_dim': 24, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '784.2.x.m', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '112.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 96917
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '112.2.m.d', 'source_level': 112, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '896.2.m.g', 'target_level': 896, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 96918
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '112.2.m.d', 'source_level': 112, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '896.2.m.g', 'target_level': 896, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 96919
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '112.2.m.d', 'source_level': 112, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '896.2.m.h', 'target_level': 896, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 96920
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '112.2.m.d', 'source_level': 112, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '896.2.m.h', 'target_level': 896, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 96921
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '112.2.m.d', 'source_level': 112, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '7168.2.a.bi', 'target_level': 7168, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '32.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 96922
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '112.2.m.d', 'source_level': 112, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '7168.2.a.bj', 'target_level': 7168, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 320450
{'charpoly_factorization': [[[64, -64, 80, -48, 24, -8, 2, -4, 6, -6, 5, -2, 1], 1]], 'hecke_orbit_code': 13511623549386864, 'p': 2}
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id: 320451
{'charpoly_factorization': [[[64, -192, 288, -144, 164, -376, 552, -288, 76, -4, 8, -4, 1], 1]], 'hecke_orbit_code': 13511623549386864, 'p': 3}
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id: 320452
{'charpoly_factorization': [[[2304, 4608, 4608, -3072, 1828, 1288, 968, -504, 140, 12, 8, -4, 1], 1]], 'hecke_orbit_code': 13511623549386864, 'p': 5}
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id: 320453
{'charpoly_factorization': [[[1, 0, 1], 6]], 'hecke_orbit_code': 13511623549386864, 'p': 7}
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id: 320454
{'charpoly_factorization': [[[541696, -235520, 51200, 89088, 67968, 896, 512, 896, 740, 32, 0, 0, 1], 1]], 'hecke_orbit_code': 13511623549386864, 'p': 11}
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id: 320455
{'charpoly_factorization': [[[3211264, 458752, 32768, -216576, 297732, -28456, 200, 1376, 1724, 20, 0, 0, 1], 1]], 'hecke_orbit_code': 13511623549386864, 'p': 13}
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id: 320456
{'charpoly_factorization': [[[-96, 288, 40, -200, -44, 4, 1], 2]], 'hecke_orbit_code': 13511623549386864, 'p': 17}
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id: 320457
{'charpoly_factorization': [[[2849344, 1417920, 352800, -565552, 466212, 9016, 2888, -4024, 2444, -76, 0, 0, 1], 1]], 'hecke_orbit_code': 13511623549386864, 'p': 19}
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id: 320458
{'charpoly_factorization': [[[10137856, 0, 9219456, 0, 2044688, 0, 175744, 0, 7096, 0, 136, 0, 1], 1]], 'hecke_orbit_code': 13511623549386864, 'p': 23}
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id: 320459
{'charpoly_factorization': [[[8620096, -610688, 21632, 13888, 995888, -68544, 2368, 928, 3084, -216, 8, 4, 1], 1]], 'hecke_orbit_code': 13511623549386864, 'p': 29}
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id: 320460
{'charpoly_factorization': [[[64, 96, -24, -72, -16, 4, 1], 2]], 'hecke_orbit_code': 13511623549386864, 'p': 31}
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id: 320461
{'charpoly_factorization': [[[5053504, -1834368, 332928, 2835776, 2719280, 1060672, 231488, 24992, 3532, 936, 200, 20, 1], 1]], 'hecke_orbit_code': 13511623549386864, 'p': 37}
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id: 320462
{'charpoly_factorization': [[[25600, 0, 392704, 0, 345920, 0, 68544, 0, 4704, 0, 120, 0, 1], 1]], 'hecke_orbit_code': 13511623549386864, 'p': 41}
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id: 320463
{'charpoly_factorization': [[[23040000, -56217600, 68585472, -49373184, 22906624, -6805376, 1318400, -158208, 11780, -768, 128, -16, 1], 1]], 'hecke_orbit_code': 13511623549386864, 'p': 43}
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id: 320464
{'charpoly_factorization': [[[19776, -8928, -1208, 1032, -104, -8, 1], 2]], 'hecke_orbit_code': 13511623549386864, 'p': 47}
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id: 320465
{'charpoly_factorization': [[[78400, -1518720, 14709888, 25960896, 22600496, 2979008, 115008, -59808, 19372, 248, 8, -4, 1], 1]], 'hecke_orbit_code': 13511623549386864, 'p': 53}
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id: 320466
{'charpoly_factorization': [[[119596096, -122045760, 62272800, -4793520, -899932, 218536, 341640, 36840, 1996, 124, 128, 16, 1], 1]], 'hecke_orbit_code': 13511623549386864, 'p': 59}
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id: 320467
{'charpoly_factorization': [[[256, 47872, 4476032, -1728352, 339748, 568008, 269832, 34632, 2188, 172, 200, 20, 1], 1]], 'hecke_orbit_code': 13511623549386864, 'p': 61}
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id: 320468
{'charpoly_factorization': [[[3686400, 5898240, 4718592, 1548288, 150016, -66560, 26624, 9344, 1124, -1072, 288, -24, 1], 1]], 'hecke_orbit_code': 13511623549386864, 'p': 67}
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id: 320469
{'charpoly_factorization': [[[6553600, 0, 18743296, 0, 15382784, 0, 2931456, 0, 60960, 0, 432, 0, 1], 1]], 'hecke_orbit_code': 13511623549386864, 'p': 71}
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id: 320470
{'charpoly_factorization': [[[3050573824, 0, 6278768640, 0, 473632512, 0, 12430080, 0, 134384, 0, 616, 0, 1], 1]], 'hecke_orbit_code': 13511623549386864, 'p': 73}
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id: 320471
{'charpoly_factorization': [[[-2240, -3392, -112, 576, -44, -12, 1], 2]], 'hecke_orbit_code': 13511623549386864, 'p': 79}
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id: 320472
{'charpoly_factorization': [[[320093429824, 132738225088, 27522333728, 2610661520, 208394468, 33954632, 6808488, 656608, 34732, 1116, 200, 20, 1], 1]], 'hecke_orbit_code': 13511623549386864, 'p': 83}
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id: 320473
{'charpoly_factorization': [[[35476475904, 0, 6091352064, 0, 338121472, 0, 8448256, 0, 101680, 0, 552, 0, 1], 1]], 'hecke_orbit_code': 13511623549386864, 'p': 89}
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id: 320474
{'charpoly_factorization': [[[-39008, -11104, 8168, 2568, -60, -24, 1], 2]], 'hecke_orbit_code': 13511623549386864, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 13, 'hecke_orbit': 4, 'label': '112.2.m.d', 'level': 112, 'portrait': 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MHIY+emGF8ZYi2I04CljmQw8gk8gTCa+SnN3GTKciekMxAME5+VvmDTpGaprTl+TlHzAzbNwLb5iI2zQzbMjtg0O2LbRsNFmxRXbvepqyZHjk/w1ecCntif8MyxmFR1+c7b27z1pYa6mmX/sSmOnPY4dT7lbAbug4uGm65e4N+9c4Xtc5OcXpji3HKNpbbPcluy0k3p9FN6Q9h3ZImDJ9tXPnNo4eUHTi7sPHxq4Qu3ftvbowe/8OffaEj8tR7f1Ay+uNxBJylCinc99NShl/7Cf/+kfPPNB1/6z9960ltqz7PSabG02mCpHbC46rHUFiy3U5bbMUurKWdX4dCSYH5ulV/6oSVuvqzBiXMznD7f5PSix7klw9nFhJMLKee7CVMzQ152bY+XXAGBrBOqkHPLNc4sepxdFvRHkCSaWqBp1lKmJxM0cOxsQqcHOzb6NOsjjBEgAnoDzUWbRiytemCsFFntwSgBg2G5HbF1g093oBDKIPSIiZrPRZuHrPYFx057pNpjdkLSqglCH5JE0B9Jzi5LziwZzq0khOEQ/IRbr+rx0qsF8xN1llYmOHEu5PQinFtMOLeccGoZDi0ZbrxqkV/+oRU2TU1w/OwMZ5fqLKwELLYly6spy52YlU7Kckez0JWc6sLqSo/3/osoefurml9pbPhRHbSu+Iox5ueVUvjBN2929JuWwT/wh3/B7bfdwD//l//6V/74L+75F7//Z1+8ZO/x9s79p7ry9ms6XLxFk6QeWiuMkWgjwUhAAgIhDJ4wBBJOL9V55KDk2t3LXLF9SKMGvicJfEUQeDTrkoYv6fd89h2tcfcTAcfOj+gkMftOjNg4u8ybXrbCtZd0ufGKNkcXExb7gkY45PBpQ7vT5JqLJavDlD1HFa2Gx/PH4NIthmGUMkwDPC9mugV7T4QoL8WXCZ4Pg5Hk5iv6DPqSay9J6QxSjp1usWuTotmIWB0ZNkz1Wel1+Og98NSRlGeODNmxZYnrLu8wPRPxxlu7fM8rDLs3tUjjKY6cmuTQSZ8TZzUnz8ecPJ9y6Lzg+GrMiy5b4Jd+qMvGqSlOnJ3h3FKDhdWApbZkpZ2y2o1p91JWe4aVvuBcX7HcTbj5ygX+8XedlzWPnYvnju1K4tEt9cld9bA288WnH/0k/+N3/+wbDZl1H9+UDP6nH/k411+9Vd3zlYP//uCRs//2sWePqcV2xMrI43Rfc+2Oc7z3pxa4YXeds8vTLK02WW7XWO74LLc9Vrqw0k5Z6SQsdxMW23BiReDVh9x29TLf+4qIXRuarPYmOL9cZ2E5YLEtWG5bibDS1XQGms7I0B8mzE7EXLRRA4LQN5w87yNkyI4Nil1bDFs29Dm3MuLpAy1efKmhUV/huYMztJoRUeQzO60ZDOHKi4Z8+J4pLt+eMBoZ5iYlcTqgVQt5/uiQut/k+ssSnjkccW4pYOtsyK7NcNGmCKViTi5C4BuEMOzYmDDdknQHIb2+T6fvs9xRLK/CUluz3E5ZbKecbcPSMOWirT2+95WL3HaFR82f4MziBIsrNRZXPZY7gpW2ZrUbs9JNWe0alnpwtqc4u5pwy+Vnec9PLXLJ1hZL7Qm6vYBh3ELWLk29cMuvDJJLfzmQJ9OXvvLvfaOhs+bxTQXw/fv2U6vX6qdPnbzo8Sefe8eho6f/494DJxjGit5I0B4IFgaS092YGy8+x6/91DLXXVzn/MoUSytNVro1Vjo+yx2PlQ60u5rVbsJKN2G5YzjXFpzuGRA93np7mzferLl4c40oarDSrrHaC2h3FSs9QbcvGI4MUWJIU1DSEPpQDw1TE4YNMzGeP+TQmYhnD4bopMkbbonw/FUe3zPJzs3wuUcSbr8m5Hx7QM1TJGnMzDQksY/nJywtNXjZDR0+91CLXZvhsQMjfBq8/mZNIgY8eyjlyMkangzYOO0x3RTUQ0EQCJSAREMUG4YRdPuG1Z6m29es9jVLPcMgTdmxrc8bX9LmrS+NQLdYWp3k/HLd6u2Ox0obVrsp7V7CajdltadZ7gnOdBULnZQbLzvHe37qPFftqLO4OsVqt063H9Lre6x2JX59G2Fj0y9s2HLFn2/dtvX4aDgcXHbZ5d9oKBWPbxqAHzt2gPkNc8HB/Yd+ZP/+g+975LGnxOJyVw5Ghv5A0xsaukPB6lBwfiA524m5+dLzvPvHl7jhkhqLq1MsrTZZ6YSsdgNWuh6rXUG7a+yS201o9zQrPcP5ruBMWzM91efbbuxy6xUJOzYqJuo+nW6N0JeAIkokWgu0gf4QEJrp1pADpwzaRNz1WJNRv84lWwNuu7ZPrFe574kprr/U58DZHu2VCV5ybZ8vPh6yccaw55jh/3pLhz1HQzbOSO5+QnHblYrlfofDJ2a4/rKI+54dkIwa3HpVwO7tQwZJjzsfV5AKDp30mGh4eAL6A4k2glQb4gSQGi/QtHuGZitm++YRL72yz7e9OGG2WePc8iRLq3VWOvbcrHQE7R60uwntXkK7l9LuG5b7krNdwWI34ZbLF/iVH1/gul01FlcnWe016PRCun2f7sCj11d0+oJI1/Su3deYnbt2//TFF1/yB4uLC9GVV3xzgPybAuBxHMsoGrzpiYc/d0lvkL7nkUce9/tDWxvdHyb0B5r+qAR5e2BBfqadcOuV53nXjy/w4t0Bq51JFlZatHs1VrsBqz2PdlfR7kO3Z+j0Ezq9lN5A0+4bFnqChR7E6YjrLh2waSal1zd8+0tG7NykSVKJJw1RDPc+XeP4+RqbpxOeO1QD3eCKbYobLteEtT6PH+izsNjk6p1NJqZWeOgZn5surbHUX2VlZYJNmwyP7FH84Kt7PLrHY9sGn8Vem5XlGW64ss9Dz6XM1Ke4+pIe59ttHnlhirrX5MbLDZddNATZ4+kjgg0zMecWYu572mcYK6SEVBt2bo74tpdEdHuKLdOaGy6FKGqw3G6w3A5Z7fl0+op2T9LpQaef0umldPspnb5mtW9YHkhOdQTtwYjbLlvgl39shZsuDTm3PEW7V6fTC+kMfHp9j95A0R1KegOR/TsxL7r+phjUz7z9bd91sNmof8b3ff2NxtY3PJMZjXroZPBDZ44/+t6lc/tnzp1fpdWQCGkDRQBBgpAghEYKYw9pUNLj0f0b+fkPeLzltmW+79XL7NoacXZpgjCoUw8DGqFPs+7RrUtaA5/Jpkd/mNIbpGwcaQYjQ3cYsrxQ4+QJQ5RoTp1NCEMDCAJl8KSgP1AIfJK+x4t2CnZvMVy0tc8o7fL5RxV7D07zuheH3HDlCh/6vCEQDXZu7fPMQ4qtU4q5iT41VSeKfc53oVnz2LZR8NTeiBsuq/OK6xf5wzsGBH6L195i8MM+X3ok4nMPN3nhSJ2LtzTYuTllfjpi11zMNTtTlNJ4ygCGRhgyPxUSxT7dfsBzB3x6Q4/+QNEbSnoD6A0Nvb7927uDlN7A0BkYVgew0FecWzE0Jtv8kzcs8PduG3HdxU3OLLYsuPuWuXtDRW+g6A0kvaGgPzSMIksC9z3wiD8xOfve2flHll/9ilv+eafT/8OJicb/uQBP4y4Ifuzcqfvfdergl2aS4YBaGBYZR2MEoBAChEgRgMxAroTBkymBlDxzYJ4n9zc5cPo8b3lpj5deNWSqNcFyu0GzU2NiENDre3Sziz0YevRHHsORYRhpotgQx4YktUeUBBgNUgl8T1ALBFMtwXQLNs1ptm3sMzfd5guPw/1P+kg9yete7POiK7o8+EJMNJzgthcJ2oMB55ea3HqZZm6qT90LGSaKhU6M0oIXXebRaI14Yl+Nl98wyUuu6/LEPgVmkhdfFfCj37nMF5+KuPvRJnuO17hoXrFpps50q8FkC+oh+J5BSdAG9hwRpKkgTgRRAqMY+zeOUgYjzXCk6Q+z1XAAnREs9CTnuzDSQ15z/TJvemmbH3itJkkmOLvYpNOv0esHWT1PfrNI+kPBYGQYDDWDUcooNgxGmjOHz3D0zBdmVrr6P7/9zS/3Vjv9D0x9A0H+DQP4cLhMqs2PLp+5513nj39hA7pPs1EHqS2wDYCw/ycUAoEUoKRASY1SBk8ZfKWp+4LFfp2P3LONLz3Z4fZrVnnna1a5ZleP2akGS6sNuoOQ/sDPgK3sEQlGsSROBElil3pbu2WDSs+DWgCNumamFbN1Q5+EHgdOxXz0vhqHTzSZCuvcdJXHrdd2eGR/m7u+OsEtl9a4aHOfD98jUCJkohWz2huhDSgB8xN9Ot0AndR50+3n+cjnGuw+V+ONt/SJ4iXue3aWOK1x81UbeONNHS7d3uZLT/R55kSDp48EbJuRzEwIGqEg8O1NKAUIYdAGtDbESXazxoZRbG/kYQSDCLpDwcpIsNwF4Q25/vJV3vltq9x+VcrsRJ2VToN2HkwObaFaf6DojTJgDwX9/MYZ2ptnMNKMItAozpxv8wcfvXtDasy73vHml5lzCyu/v3F++v8MgEdn/zPn2rvpnv2rHx4NB+9pLz47l8bLBH5IqlNSDTpTbgaJECClQEqJUh5SpSglsuVZ43uG0DPUPcHKULHUnuZj9zZ5+Lket123yjtfu8r1u9vMpnWSJKQ/rNEb+AxGHlGsiBNJkkpSLdBG2CyoMISBplFLCIOIwB9xamnEHY9JDp4MOHJyGqVDdm8OuHKX4sVXdFDhAs8earF1qsHVF8Om+RWWOxNcs1WSaMMXHg0Z9SVTzYTX3zzkM/fFHD/b4vJLfM6sDnn+sM/2jdNct2uBB5/p8tDzglEUcMWuGa7YHnLFti6Hzixz8BQ8urfBgcNNGp4g9CTN0FDzQUobVBljb9YkhSiBKBX0RoLOUNCJIdIJ2gy58dIO7/y2Drdfk7J5JmQ4nGSpXaPbC+kNA/oDj95Q2WK1kWAwlAxGNjYajFJG2cowiLRdKTJHR6M4u9DmD//8ng0Hjp57T6PZTH7j/Z/50EN7z/Ph//wjf3cB/q/e9T78jXfjd8wPiNHx34jbZ6Y8IQkDHyESIGduMlliLLClzJhboZTAUxpPpfieIPA0gW8IfUMjSJmqCbojn5XONB+/f4J7nh6ycbrPO17Z5ortQ4aDHlfvMmzfpBjFPmlapvkFBik1vpdy7JzhyFnB6kDz6QcbnFqcxkQ+0zXFllmPHZs8Lt4KV+/uoOUiv/eZJsvLk9xyhcfVu9t86WmBSHw2TEuajYR+HCCzZJTyAtpDwbllwVWmwStf3OUrT9TZMhdwy9Uz/MPvXOQPPtfl0X1NekOfpdUWu7bUuXxzn5sv6/LdL+9yenmZTz8YstQPOXbG59SpAF9ZIhAItDGkGmJtSBPN9GzMtVf1GY1irtg+4m2vHLFhUjHTConjGmcWavQHAf2RXeUGBbClBfdIMBxhV4JRao9IM4xMcfQjGMSCYSyI8ThwusPzf/nI3KW7Nv3GrS/aEH/4P1/7p0vH383sRT/7dw/g/+pXP8p3vP4d4kd+Vr19Y/O593/vy55qXLmzRndQZzjSKKkpSo+FQQqQQmWyBJSUeErgqezZE/heSuAJAl9T8w312NCIDJO1lOm6oB9JulGTIyebvPtPZ0AniCThxdf22bUpIklAG40xNokjhUAqgecH7DsesOdgjWbNoxVI5hqC+VnJhhmPLfOKHZtTLt+xSiqW+M1PTHDs+BS3XOZzxc6UQdLlq8+GTNV9ZicNU62IRt1KIa0l7aFiuWdYaqe0e3VedvUqj+3ps/e4Ymqixs1XTfHjb1ritz4JTxxs0hsYVrse55Yn2DTXYMP0kB2zQ/7V2/tMNNo8cwT2nZD4vkEpgxAaMPb/DSQJ7NyUcts1CWnsEychxjQYRj5nFwMGI7uiDSNVyLdBJBiOBMPIsvYospJkFGlGkWYY6Ux3l8w9iAX9SNCLBZ3ErhbxYMSw/eTUd944+/5fO7eQnFn9uY8tHJ418xf/xN8dgP/Sr/0Zl2ydUJ/+qz9669ETqx/6w6+u1p7eO8G7/1Gby7cn+KpOf1hDSisPhDB2LEN2KKXwlMHzZAZsQeArRr5kFGnCyAY59VgzijVRZJhIYBRrRglEiWAYS0ZpSJzW2HuwydN7ITUGC22rjX0JgbI1H60Qrt4ME3WYbEqmW4rZKY8NM3DRphGb51eJzTK/+YlJDh2e5IaLFRdvk+zetsKXn084tzTJi3dJpic0tWBAKEOMEiSpRBhDkkas9GqcW/K54Yo6L7qsy4NP1Ng4LWjUWtxwmeafvHWJ3/ik5vlTLVZ7mtWuYmHFY26qyfREnemJSSYaMfPNmB03RIR+gu8lKJUiMwfKYG+qOFacX/CIE0WcKKJYMYqz50gyiiWjSDKMJKNI2AA1EowiY0Eda0ZZMDmKrK4fxbmuFwxj6MeCbixYjSW9KEUPB7xo5wr/6ScXeOUVZxrLS80PKfHbuhtf8onjez+UXnTFD3/rA/xXf/3PmGiGau/R8287duz0Hz6551hNtSb5/KMC//3wyz/R5sptqb0oQ21dEmn1tZJZIOkZfKXwPJPVkAh7EXzBKFBEsQV6HBuiJLWuSOIcKSSpIU01qcbqbU0BbpGtEp4E34fQE9RCQSOUNBuKyYZkelKwYSZhx6Y+reYqn/hKxH3PzrC6OMG1Fyl2bPa5dPuQVKzyhUcbNH2P+WlFqzHk2UPwwmGPa7Yb+iPFdZfGXLvbcPZMysJKwGDY4A03dXngmQEHTimadUkYTHDNxZpf/uEl7n1+wGfunWOpY9ixIWWl7TE1oZhs+rQaPs26oRZqwkATeimeslJLZq2VxmATVlqQaEmSCpJEECeSKBHEsWQUW+cligVRbIgiGMUpUayJHOIYxfkBw+wmGMTQTwSdSNJOYDCKkXGfG3au8Is/vsQbboLVziTd3pFa6rX+WAXBP8Cb/ovDz/5JevG17/zWBvipnpB6tfd9546f+u1n9xyrTYQ+SSzomSZ/9RBEI8XbXtXh7a/pMT2R0lP1LIDMfF4vxfc8fM8jjBRDP2MbXxIFgigW9uLEijiBKJbWQUhK2y9JNWlq3YXUZE5JofUFUlp3xvMEgScIA0ktlDTrgomGYaql2TgzYn66S2JW+dgDkj/43CwbajWuvUhw0WafnVs0Ozav8ImvGpaXa1yxSTE9Aa1GzLmjkvMrIcEuGMWC+UnJ1BQcOGJY6WjOLta4dGeNV7+4yx3315htQRgEKDnFNbsFP/HG8/jyPH/14DQvnKqxsROzYSphsqlo1RWNuqQeeoQBhD54niUGK/MckGNv7FRDmgqSlAzoEKeGKIE4Ti0pxJoof441UQyjJHdlMnAnVm93M0nSjQzxKGIy7PC9b1ji7a/s8ZrrodNrMYwCUh3SWz1UC5vi/XNzI0956s+wPPOtCfD//NufIk31D9/10OFfO3bo2ITnKcLU0NKgfY8BLb7wqOKrz9c4s7LE//XdfaYnYmphnU6vhuelBJ6P7/n4XkrkewSxYhRLIt+m0i3jCMtEGSslCcQppKl1ErQ2mTtj8h7ODNwW4DZwFfieBUgthEZN06onTLUS5qcGzE2v8pW9EX98V519R6bYOemzexNs2xSwbSNcflGHftLhkT0T1JXP/LRiqgVTrRHTkwlB4CGEvbkGo4DlTsxq39DuJZxfCbhoU4uXXHGeux7ts+/UBI0wxlcBQkyye6vi7792kRsvP88f39XikeemWOp5bJhImGokNGqSek0R+oLQl/i+jVWUIrMPLcoNtodVZ05Vqu0kAru6ZdZioklSC+4khigx5RFbVyYHdj8WdBNBN4HhIEEnA2YbXX76e5b4l9/fpxEGdLoNhqOQKA5IUoUQiqh3cGIQDn6zPnVDcO7wR/9g48Xf+60H8MXlNkrJH3vvb3/iXWePn5itBRKBsTYW2IBOeAxkg9WRx6/9uc+eQyu86eU9Xnl9l41zEd1uncEowPcDwsBnFHmEsbX3osACPI4lUWKX3TjJPO2UzPojY26JNpTgtknKjLnBUzZhEviGWqCp1xJatYTpiRGb5zqca/d536d9vvDYDMsrTS6ZF1y0QbB1Q8C2DYJdW4Z4wSofuc/j8Ikml22UTLckk80UKUecWjCEnkQKMEYQxR47NnR4lJROX7HSMZxbrnPZthrf/co2f/GlgKPnQnwvRggfbZrEieTFu1bY8f0dvvBEnw9/YYbHjzbZOi2Ya6Y0aym1QBD6gsCX+J7AU9l5lqKoyTDYm0wbrNOSWsDnIE9SK+ks2CFKba1LlCePEsEggW4i6cYwiDVpf8S2uQ6vuGGVN7+iz7ffmOKJBiurNaI4ZBT7RNl1S1OJMZKlxXOz097wPRdd8b0qGrU/EIT/e2rK/7cAfGWlTRD4//DTn7vvXc8889yGyZrOlkdBou3S6QmDEoJASLqyRjvy+MiXa9z7TJcbrujw/a/t8x23tJmbDOgPawxGAaHvEyX2ZOWBUpIo4lSSJJI4FSSJJE0FqRal1taCQpUYy9xSgFLWdfCVJvA1YZBSDxNa9RFzUz0G8YAvPWv46JcneeS5KaYDn2u2GjbPSDbOBmyZl2zbGHHx1hWeOTrg0w/MM6k85icFE03BRCOm3U/53FdrtAKDEBZYg5HHm24b8dmHbU1Mu6c5v+KxbUOLt7y0xyN7u+w5ENAME5QUFuS6wTCyWv/vv7rNZZvP85F7Ozz0whTHV+psmhBM1gyNQFPzNIEPnhIoaW9ky+SQlx/pTKppXa5wSQZ0SxAQp4I4zYCdCoaJoJ8IuimMIk0SRTTrPd7yuhW+/7UdbrgsZeOMx2DQotMLiOKAKC6vV5woklTZa5NC99i+Dal88F07LnmF7vc6H2w0J765Ab68skq33QP4obu/dP9/+dznvzjb767SqkkSbXWepzPbzzah40sIU0FP+vR9xclOwOmHGzz8bI+/uKbL217T5/W3rTIzFRCNQkaJTxT7xIlHnJ24JFUkaZawSUuAa5Mxty5ryoQwWVCpM2dGE/gpYRBTDyNa9QEpA774hORP75niuSOTiDhk57Rh85RhbkoxPxOwaU6yZT7mok0dTix0+Z3PNElGdbZtE0y1PCaaMNGIEX5EZ9BkqmUQQmAMxIlkJlQkOqEbB3T7KSsdxamFOldd3OInv2uV9/xZyLGFJp6KsxvDI0lqDCPJptmQF1/S4dqLezx/7BQf/XKdux6f4nS7TjNUtAJo+obAM/gKPGnT+UJUq+s0YLS96VItSA0kqbD+eSqIUpskGqSCQQqDxJAkCToeMVsb8IbXrPKO13S4/ZqEybpHFDdZaYdEkU+clKwdJxnAU0WaCEtIqWQUdVlcvXfDMPL+yyWX35QsL57+o7DWpNH822Pzv1WADwYDJqaab/7KQ4/91mc+98WJXrdNq64yFwO8xJBomwZXEjxhT36QCkIlqCeCvgrpJz7nRzX+6pEm9z3f5+a7e/zT7+ly5UUdNkwpJhqeZYfEJ0lKkKc5wLXt8DGGrKYlB7etZbFpfo3nJYRBgq8iOoOYhU7Mr3+ixpHz0zyxZwqjA2brgg1zhrlJweyEYnbKZ+OsZNNswtb5PrNTK3zhSc3jL0xx7TbBdEvSakgmGppmPUL4I8LQw1P29xsDaSoZjDwGw5hEC7oDTbdnWO74nF2a4NbLe7zkqlU+cneN+rLCk7EFpPFI0oAotj2ec1M1btzd48ZLejz6itMcW5D88V1TnF9tcHIpJFCSpi8Ichkm7epZEHkuVbBMnhhhiUgLRikME4i0gTSBJEaqEVumB1y7w16Pm65Mmah7JEmTdjdkFAckiZcxtkeUZCtsojL5aIGdZJIySgSjXpdnnrxnVgj1WxdfesPKaDj49N8mJv/WAL5v3wG2bN6k/uhP/uySF17YP9HrtqmFHqk2qARiaWw2Mmse8DJm8VKBnxqCFEJpaGjBQAn6Xsgg9VmK6tz1+CRfeWFAMxzxD769zbbZhJ1bBtx6dRdP2BYxIezJtFlJWytti7UycGMQ0qCE9XINCciE549IHtvrcccjLZ4/3iJKGrQ8xXzdMNM0TDeM9cEnPGYmPWanBJtmErbMD9g8v8J9z434vTs2sHnKY34CJpqKiaag1UiohyO+sl8xjDz8pgWVMYIokdQ8xfWXDXj42Slb+DRIWe34LK6GnFuc5iffeI6Ti0s8/NQ8vgREjIYMQD6jSNIbeEy3akxNNHnJZX1ecW2f73/VAntPaD77SI1H9tbZf7hJIjxGI0U/VighEUKMBZ5ZTsBoEm0wWuOLlMkgokbMS27osWvzkG1zMe98/Yh6IGnWfaKoQbvrE2crapT4JKn13OPEI06VlY4VcAsbL+VWZSrorXR44vGvTJw5e+6Sb3vD29Sxo4fSHTt3f/MAfM+ePczNzQaPPfb4j2D0r7XbyzTqvmWFJCtvVaASq3u9zKKyADf4GcP7ysqYmhI0UsFQwzD1GaY+/bRGt5vyXz4yjUliNs4PueqiIbOTCW979YCLNkTEscj0tgSHucn0p5QaIQUfv7fOM4eaCM/j2OkGp841qNUVk6FgqmmYqGkmatCqCyYbiomWYrrlMTsFc1MJG2eHbN3QITWrfPyBCQa9JpduM0w0FK2GpFXXtGoJvh/xhYdrjPoSf4PtFs0lSrOueMPNA+5/UtMbSXqDlE7fY7XrcXapwZW7Wrzt9g5PPN/g2HILJTUQZ3rZJ06tmzSMJL2hR7sX0Ko3aNZHXLltyC2XDzlxvs3RM6t4fsrThz3+4ssNhFIW3OPzB40GNBhDHKXs2JjwjlcPmJtIuXyHYeMspInPKGqRJD4rHY8k9ohTL4uDMo3txERJmgE7kZksEQXAc5CnmfN1/vwy07PJrz399BP9rdt2/MG+fXuiyy+/8psD4KdOnWRxceGyU6dOve+ppx6ToW8zj0lqEw4qBZUKy9wpJApUaoHu5UGNzoEuLMi1oZEKYm2IUsEolYy0JNI+sYaF3gRffkZjSPnUI3ZkA0ZnR57FyywykVUkColUiiT2kNrD9yStEHbNG5q+phFqGiE0QkGzLmnVrRyabEmmJ2B2MmF+esSW+S4pK/z6X9Z48NkN7J6F6UbG3g1Jq57QqEc0GwPq9QahkiiZaXCsHIhjn+FAMBildEeK3lDTHWjbMtcMOHlukpddNeKfvP0c7/0Lj+OrIUJojInRqck0rmQ4smWsrYFHsxbQqNdohA1qYUyrHvHiSyMCP+amSxPe+Zo+nkqyJJC29fauKM8kndYSISShr4CA4chjacWzdTtpHvNksrAArypAnRRgXh/Y9mtIdPk6TgyPPPqYjFP5vl6v/8BoNHrubwOb/8sA/+Jdn2JyQtWPHD741gP7D4pa4KGNIEl01pQAqbRuhUptgsFLDYmEVFkbz43e8yq4RNt2rOJ72upDewgiLUmMJNUesQ5JM9vLfRRZSgGeEDZTqaBWN9Q8Q02lhD6EHtQCQz0U1ANJoy5p1DwL8KZgqqWZmUiYnRqxYabHlg1L/N4dmg/ftZHtU4q5lmaiqWg1FM0GNOoprXrMmSXNoTMhtcDKMsgr/QTDyGPXJs2muSGdYcBgaDIWl6x2PVr1Gq3GFO98zXkOnznL+z+9FU96GDSpTkm0IU48RpFiENmiqH5N0hh61EOfepjS7toYI/BTfC/F91M8aRNoUqZFWYQQWd2KPWMZyAVtnVVZahvXpKlEa0miy3gnSYV91rn8cN5LxZojzdyZItGUH5kN+eSTT4udq723bt++49BffPwvB2/7nu/+xgI8DP1gZWnh5zqr535OmJGshZIkxVYBpib7ozQytfUlqbJNvJ4WRSLG0yXQrXdtSDPrqjxMmWbPKuWslyuKQMnV3ECWyctsSanxJFkNOfhK2FJb32Yva6GkFkjqoaJeU7TqklbDMNlMmWolzEyMmJvuc9HGJR7ZP+Ij925huhaysaWZaAgL7rqkWdM0awmtxohH9sHTextcMm8y3VumzQcjxU2XGy69aMCjz03RHxkGw5TewMtA7tOo1anXpvjely/z9P7zPLxnExiF1qm9+RNDEpuinmQw8mgMDfWaohZowsAnDFJCL88IZyUQWRlEXvuDMAhKPVcG57aEWOeOlM7tV8eKzUqN0xzE+fey1ThNRcnUaZlBTXNgZzI2f2912JcnTpz+92FYD5rN1q8A0TcM4NGoL6No+It3f+7P/nl75UwQBj4yyav/BIkQSGlIpcjArS14ZQZWZTW4Ba9l7DTNa0VKgGuTZ94MOsvE5ckKYwxO5r2y4uap6jyho2SWsVTgF0VbNvsXBopaqKiHgkZd0KobJhopk82EqdaI2ckBW+ZXeHjfgF/8w40cPznFxXOaqQZM1BXNuqJZg2YtpV6LCfwh7aFBSYWvDFKWnyzVItOnARP1mH6i6Y/yHtSUbl/Srisa3ZBa2GLnpphf/pE2/+FDkq/u2YhBoY0mTTVJmhAlmihWDCPFIJTUR4paIAkDQxgoQk/j+9bv95SxAFdZIVsmU4Qw1QbdLLVvMhIxOge6m2MQWZJIFjmHpAB+CfCcmApg54SWmuy5mk09euxUEITNn/nxH3293+v1f6HZbPyN0/l/Y4D3ex3iOP6V55954P9eXjpeqwWSJDVOg0IGrFSQSkGijP1jlUEXoM4zaSXIy7R6BuoM3Eabkq2zMtD8YAzgmezOPouVKEoKlLJ2mZe1ovmeJAzsAKBaaEcy1ENDs6ZpNVImGjGTrYiZiQFb5ld5eG+f//AHc+w7PsOOGeuwtOqSZkNa9q4bGrWURi0mTiP+5O4WUil8aVCitAm1yZdyn7//uhXufDyiG4X0M4D3BopuT9EOPWpBSOhPcPn2hP/4o0v8uz8QPPTcRrSRpNqm1ePEFpqNIs2oZstdw1BQ8wVhYDObgWeKjK2nNFJZ+Wj7Wx2AlylPIDvX2FxC/tlTLTBF0Zr1z3WRXMMB9fjr8jnJrn3qgDuvHdJI9h88Wrvz7vv+n+/8jteIdqfz85MTf7Mk0N8Y4GdPH8YY85LD+5+qmzTC9yVCGkSeOZM2i5YquxTlQE+NA+rUoJUpJIh2GNq+zp51xiLGFOAmP/FjnysHeF6DkWfycvb2vLzuROL70tZvBIJaaGeeNMKUZt2Ce6IZMTUxYH6qzSN7+/ziB2d4/tgc26YFs01HmtQ8mjVbv1KvJdTDCN8fcWppGl+JrNY907dkN24qSRLF5mlDksR04pqtrR5pBsOU7lBS7ytqgU/g1/C9Sa7YlvAf/+EC/+b34eEXNpBqaQGeGuIkzZhcMwo1tUgyDFQhwXwffM9KNFunYvAkmUwBkT2vg3ErV8iSQogiOVSAO8sWl8QkqvIyLaVnvhKnqS6kaJJmGMjBrmEURTz08GP1Sy/d+RL5v7DjxN8I4Mf2fobpyW7j/vu+HJCuEAYWiJYNRCEJEmnvYOUElKkWpMqRIOl6wDYOaxuHsU3J3Bf4bFKURVTljSaytHVZT27lCdR8CANNvWaoh1Y/N+oxE42IqeaAuek2jx8Y8u8+MM2zx+bZMqWYb2om64JWTdKoKRp1Qb1mbw6b6o94eI+gNwyoKbKbzGrwvAkh1YI48WjWFLde3eWR5yfox2U7WH+g6IaKMFAEfpDp5ymu3K751R8/z8/+Ljy0ZwOxlsRaZ83SZQ/mKJCEgbbsndWm+NnNbQ8ymVLKOJlledcDeZ4UMg7Ay5oWUSng0kV2lGy1xlml3VU7i7dyoBesbv/bM+dW+aM//XTwute/sfH7H/5s/0d/8Dv+9wN8dekojcmLpo698NHfaYadlyfhiCT1SFJb1JOn4NMM5BVgy+xOLpY00J4oWdplbQfQugB22RRMpr2LiyFsQZEdLyGKIiNVABxUVjHoexD42E6gICuwClPqmbxo1UdMtgZMtzo8dXDEv/vANE8f3cCmKY/5hmayDs2aoFlXNOqKRsHeKbUwodUYct/TAavtGtPTZZo8B4zOgrI4VWyYVbzmRT3ue0zbxoFIOyCX1HxJzffwvQDPqyOl5srthnf9+Hl+9ncND+3bQKw94qwC0Ja9WiYPY1lUFwaexPOyIiwpUF5+big+X34T5lJF5FVplAmh8aMCdCde0mMrcpqazBywh05dM6EEu+ukRUmCPj94+YFDR37/X/yj7/mp2285unrFZTv/9wI8GpwgGZ392V770Pfp+Dy1MCRONDKxgEqlQGlBkgEr1ZbJtc7Ani9hqtTZVtflMiTT3MZUA8lx5s6QnmfkCu0t8wq6UnfnFYOewtZneAbft43FtUBTC1LqtYRGLaZZG9FqDJmZbPPE/hE/97tzPHV4IxumfDY0UiYbJgN3xt41ST207F8LExphRKJHdKMQoSR+zuCFBhcZu2UJkNinGQxtuUBUYzoH+TClH1gGDwOZ1cTnG9AartlpeM9PneNf/7bmob0bibXHKBVEqc5YXFCLNaFvCHzbu+plcYenbImwkjI7P1lXfv7sFGYVN6Yb64yBuyAhh5hs7X22CutSmrily6U7lrN2VvSVWmclTgXHTi3Rev7I991579OHRqPo3/xvZXCjD4DYvuPUvt+61sRHCUMQcZqBSyKlJJEgU3tBrVtiT6ZdqkS5dLl6rVi23RMmHKYos5LGXTNz1naDyny5zTp0VBZMeZ7BVxbYgWeK6sGan2a6OaZeGzE90Wey2eXhPQk//3tzPHl4I/OTHvP1lMmaoZWBu16zdmIO7nqYUgsSJpoRe44a7n2iSSAlvtJZEFd6FPk5iFNFoj1e+eKYSy7uceh4nfkGZSPvKKU/zFjYU3ien9XxWO/66h3wqz+xyL/5Xc0Dz88zjOuMUkmUGBpZDXfoY0Hu5auXLnpbpUqLFU5J4QBcOCB3lsk1IDdVgDvgzt8bl52ps1JbVscBeF6jnpfsgsbj2QNn+cgdj1377n//4zseeubksduu2/a3D/B7nzjHXU/M7dxcu/e/teJzb/ZVG99rZg27FAkDy+KSVNlluAgqlHAYO3dMyiWtAmqd+9qsAXYpSzLmHgd3XhYgKcBQtL15hsDT+L4m9DVhkFALEmphRKM2Ymayz0q3z/3Pwa/+6SaeOTjHXAbuqbqhVRc0a6Lwyq3zoi17Bxbg9XBElKYMBzVqyt5kUohKJV+eSLGBpme1vDdiFBnblV4AXBMEKYHv4fsSTymU9AuAI+C6XYJf/akV/sufJTy0d5bT7QmGTclUamglhlo2cSD0Teb9506KKdg7lyo5wIvPm33oohfcOf8muyjlymrK4NMFuytZ1ryu5jryr/PivDiF1AgWloacXlp+81PP3J++9rar/h9jjhwVYtffLsCbHGXCP3/L8vn9bx1GB2nVrR5UUmC8Uh6kqSiYW0vpsHbpm+osWWODk/zECOfElJqvytpVVZhfBDvuIWdvk8kT4wwHsmWxvqezMRNpAe4wyMA902NhZcC7/qTBp786z2JvmvlJyXwtA3fN6u5GFljWQ0kjNBmDW+1dCyMg4p6nAlbigNkQ3HpsRHWFSlPb/DARerz6hj4P74voxiGTsbZd7JEmGNla9cCzAPeUQUkfIW2CBgNXbJe89592+OzDA37lgxs5uTjNYMpjKhC0Ek0jgTC2o5cDZQca+XmgKUURBOfPbqDu3phCFL0iJYsXRORcO8cYyK9pqp1uIuMEpKa0hQsGz1vqsp/1fcXzLxzgqadn37pzY/NP2p3B0b9VBo9GffygfumZY/f/s+Ts8yjRJE6EHaGmtMOgxrJ3FkTpHOh5NiwDe/5ssujbOODO36+wtitLshOdM4ssVg77WuUAV8YWc3n5gCA77yTwUwI/oRbEhEFMqz7A8/rc93TK739ugjse3ECkJ9gwIZirWVliLcDcJ1fZITLmdtk7xvNGfOWFKfqRx+ZG/nnGGTy30iRxoqj5ipdcOSDRFuB2tkjmhkR25Jrv5RanyoBonA4pwdyU4Pte1aMVnuaDnxtw/wuznI3r9GuSicTQ9IwFuZfFISqr6FRZlafMz6Eoa8clSEoWdyWLe0nyVri1gWgGdF2W5ObxVSFVTRXceSyWOK9rngHj81ef38slO676Z3/vjS97stPtH5hoff2RcF8X4P3OEfY+ew9BbXJLf3XfK+JoBVVTGOyMQE9pdDYQMxUSqQ1K22BTu+B2ngvG1qW+zlPtVVniWA+ufSXMmDTJs3JkqwrF5KucuX1lazFCPyYIYmp+RKMxJAj6/OldHu/+ow0cWpjBD2tsaglmwpSJ0NAMoZl12NdDm+2sZQkhW7+SZiuBlSeLnZReFBAoRSBNEWDi/Cl5wsqmrSVR4lP3h2yaGrDabzGIRTZuzcYKvp9mNp/K7E5lAV4JXG3l45tv73HTVQv86h8P+fAX5llOmvRDn6YvmfBsDU7oQaAomiG8POmTrXyykCplAsgllapYWY/NnQTROqZBcVQSemV8lprSjNBZPZhSkoWFNk8/s+cVoUq3LC23Dzy/7zhXX37R/yKDm5Qrr7155/L5Pb+3cvIZfE+gsgGYQhqkEWhppUYO7iLbZZyUbp7uzWscdHmxjc781QLcTqmr8xCYkk2y7Jt0AS4NStoir5K50wzkCYFnJUkYjAj9AUfPJbz/s00++cAsh89NM9HwmanBdJjSCk2Wes/BLTNwyyIpVMu0dxjYG2eiOeITX/E4cKxOLZvAVbSLUaK8GONgrA6PE48rdsB33tTl9z8/S6/hMRHbgTphlMUNSuN5MhtbhwNy37lWdlW4aE7y8z/Y59pdJ/ndO2Y4fHaS5aRO3/doKkEjA3ogjb1xMpepWP3y85rbh1h9XmY6zRjEnZU2Y/JKttn5umB0U3YSla/HEkjZfyMEoO3f/OWH9nLNNVf93ite8bJvX17pfF2p8jUBrvUIIQL6yw9s0/3Hd7fCMxgCpNBlOXFu/huB1tqRI3KMtfM/pKxWKxwS1pEl2QUjZ+wc5KIEtnBGKcsM3NY1ydk7xfcS27njJYThiMAb0U0j3vexgA9+dhOnlqbQqs7MpGImMEwGmkbG3I0ifS+zOpVMmmTeeQHuwGYvR3HEgZMhvShkOsxcnDzplLsSeRbWODUpscdE02PXtggVDulGLQaBoJ4N2QkyeeVnEsXLXQ+hLhC8KuYn+/zkm/u89ZVn+eBnO7z/47MsDpoMvBo1T9HwBHVlCBNj2TxrSPFkWd6QZznXMDlVuZKz97ps7rI4zsqNU4rhJIvcr11bWApQQrH3RIfPPrhvt/Hr277n9TccHYxi6qFzk//PAHzQO4fyJuaTtP6xzuJjfhAAxMUfW9pFGYilrTqzYNYVMFcZPAf2WtYeK/kpTltpB5oC2BV5IrMqOZVagHspnkoJ/JhaEBH4Ee1hxFeekfzpXRN8/IFZhmmLIAiYDQRTgaYZGBqhoRGU4K6FkjCUhJk0sYmhzJnIAB74NvN55Izh/scbRLFP2DRrAsyCOAoNbokgihW+7/Gam7p85Is99p1sMqjZeS8j3xAk4McaP9IoZec0Whkhy+E+OcBzj11LGqHHxqkB//p7+1x50YgP39XisT2TLAyaDFWA73vUPEFd2m4qXxnL5rlUEaVUKQPPKtm4IC8+B871dEFeyX6OVYPmgbehsI2LzCnZKiLASJ8773vK/9433vixxeX2i5ZWugt/YwZvtGqyv/z8LYsn75k0OiIIUqR0FiaHve0fk7WKabkW3IWfnX2dDdo07p1q3KJNSqknDDJn8iKlrItyT6u7TTYsyB65HPG8mHYv5sHnBH/4+QnuemKS5XYLWa/RqiumfMNEoGn4hkZgqAdkrG2Zux5KaoGiFghqAVmFns7ArQl9q7+VN2L/STjVrtnESqZvq4mTEgA26LIgT7Qkijw2Tggu3T7g2eMJ/dhnlM34DiIs+IrJunmiBsbrNIogPrMh49TWh7/jNQNef/MKX3qyy4e+MMFjeyZY6jZoy4Be4BEoQSAFocT2cEqTTT4ob1IlsrLf9QA+TkmOQVBKFFGCnCqotcnZuwR5asqpQDYME3gCwmHChz52z2Qcv/yWG190yef5GsODvrYGj46HtWDw2zP1R5uRGIG0s00q4MQFbrYZqwtwI4rvmzGgG0drm+J/ykd5Aku2Lv12XTC3BXiKkilB7mbImIVuwn2Pe3zuwRafvn+S850molbDb/lMeDDp206euk8mO6AeiOyQWclpprsDQZizdw5wLyEIEmpBhDEx9zwRcuxMnbkZgS91pmNF2ejrEkMOwkxSDEY+OzYKXnNDn09+NaIX+wxiQc03BIll8VFsnFVKFX41QlZkij1k2aigrd9eD0e841UDvu2mJT71QJfPPtjgvmdanG83GIiAQeDh+QpPCHwp8KXEFyaTWgaFcKSh8zeN/X3utXTzGUX5LesDOjE22EwppQrZHJcMdZbojOGLjx5s/r033vLb+w6fuBIY/M0Arh9CilWmZ46TDGpEsWc71rNxwxiRfWjhNPpKB9gy6yCThfxwQV7Kkgqsy+L7wp4yzpHt8CA1QupCjgReTK0WMxyl7DsFR08rPnr3JJ9/bILzK03wa3gTPg0lafmGlqep+4a6DzXfgrvm25mEtsxUOofIvm8ykOsC5IFv29MOndY8eyQE38+WeeOk6KtpQXfJTovuFjvO+ZpdI67a1mPvqQaDmqCRCMLYMFJk1p7O2Dt3U3ILstQqblmrvV4qmz7gM4x86vURP/yGEW+6dZU7H+/x519scPR0jb2nGkSrIUnoMfQ8pMpGV5P9PmE3Vi2C0Pz6YNayuSlXK2NEhbHz1wljcgWb8bSs57Yf2sjUGEOqNcQJC+f7fP7LTzE13fyaEL4gwJPBPjFKev/sySffPffosw1uuizhxkv7+EqiPIGOJXGkSHPWLoBd/brC4tibotDaY4FlhukyUhdk8sQmNawksQM6lUwJQztJNUlTzi7B3V/2OHSyzr2P1Dm1UufQ6SaEIarhUfMUTc/Q9LR1EXw7OL/m23FtFsT5IbNDZQAn09wZuP2U0LfsbW+siCMLsOdoA19W7cFColDWg5duQu445T2NPlftGHDphj7PHU7oJz6tWDDyIEjsTEDlAFxKgZCywuS4oNGODMr7JlNFnPqM/ICJesTff92I26/tcGqlwz2PBhw+EXLnEw1OL9VIBz5aesSBAqmyxI/typdkGU+q9UAulburc2kFj/vmOZgze4V8BwTndWwg0QgvRaqEm68ccMulQxbbD8/91A/+i3/2428/9J6rLt29ju/2NQD+b//7vaRp8n33PmCaew5vZNeWiGt2jXjFjUOu2pWwZTpl986IGpI0zluaVOaO5ECXpRTROZjz9IRwqDvn7Lzo3owxty6liErxw5Q4NRw+IXj2sOLuRxo8dyTghSN1OqOQURSCH6AmfEIlaChoeJq64wOHXl6nkZfN2rrwMJMlQaAIApndAKbU3n5qM4u+1fm1IMboiHPLkpEJ8TxJIA2eY7ON13XkIE9Ntd8xSnwEHvMzEVIN6cU+fU9YpyMuC8bs5F038+ga7dIpa5UlkzuDkfxUFeMn+qOATdMRF22MefHFIwbRgH9wpM1zRwPufrjGs0dqHD4eEiceJlQYqUBIUulkg9xk/rhWcbNbxbPL0g5bU2SC7NexxkOze1fE1umEK3aNeOWLR1y7K2HnZs3Bk0eaOybv+D4pvff8TzH4n3z085xa6KiP3PW8eObwPKMk4ukjEc8ejrnz0YhJL+GibRHXXB7xuptHvPr6CIz1mutNk4FZghYksQW6G5Dav318bAHZrmrWX/c9A0IjpCGODP2hZfSjJyV/dldIP1Y89UKNgydCFnsBozQALwDloyYUgRTUFTSUoaaw48xUVnikLGsHvrBJDxfcviTIZEkYQBiQuSY2Ze57msBPsoxoTL0WcX4l5e6HWrS7IdOTAi+LD/Kir/WCsaLmptDiktFIMTereP2tQ+58bMDxdpOBL61M8cBPDH6ce9aZxy7TYg+jctaJLH6HNp7zOyzQg1SReorEV8SpRxz71kr1Y5pBzO3XJLzkyhFvecWQ/SckT+/xGUSKD9/d4MhZH4SkP/BII1W0TRmPMhvkorwC8FyP6uJZJAahja1pMoZ6M8H3NQLNq68f8bqbRlx9ecSOrSmTHsy2JFrbm/OSLSHR4Jjoy5ero/s+n+y8/Nv/egA3BjbPTbyvpofX1WuKJGmQpj5aRyz0AxbShCPLCQ89l/KxLybMzyQYbbjhsoh3vHZYFK3PT2quvyaiWctuUCNKY2TNbxXFcJ52X/D0Mz5LHUm9Bo/s8fnMAzWGsWIYK86cDdDCIzY+WvjgeYjQw5OSQAlq0lDLgB0qQ6iMrQH3Ms/XK5k7yPsyC3CrrEdTFOwd+JogyAu00oK9gyBGqYgvP6n45FdbqMCzdltFf1+YwXMvPE1zx0MxHPq86bYBn/5Khw/fM0kvqdHMdLif6/A4T8qYoltICFkAzP4q6Wh9B+A6G+vgWSb3PUXieXhJaoGuUpSyg/Snawm3XZ5w6+UxRox426v6DGM7zu2vHgh5dE9APRQsdhRPPxfQ6ctMJYl1r3CZBLDSpFnTXP+imLmp1FYWppp3vHbI9ZfGGA3z04aZKY1CYvBIE0V/aGOJOAkYDH36kbxuYuP0+4TgJ/9aDH7qfIct862Jd73vk5ev9hPlC0PNkwxEgNYKZAwmReuUkU4510k5t2qXl/3HNZ/5sl1uTGqYnNbccl1Eq25LKNdNT7q3euY6rPYUjz0b0GkrpGfnoYyMZ5lJeNi5wB5IDyklvhQWzNIQSk0gLRACBYEqZ/RZkJdjku0eP7JoPHbBbRk+K6v1cwZPnSMh9GKMiTi1GBCNaoSTkiBLeytB4SMXWUxRXF8nNoGyO10RxT7TLcX2uYhADBkkIYNEUPfsWIW8hiRPaCnplrfK4nfZ3yGLBFw5BF9nfZKlNEqSNMsbqGz/o4Q4SVGxzSV4KkXKhG1zOlsxNFdeNCQyA6SnabcFjz3rsdqXqEKxVIPqypU2Nphs1gwvuS5mclpjEhuT1RUoWz6H1oo0VrZTXysbLKd2Pkuc+Git8FVf1YKlyzfs/IEJY5Y6Qsx+bYCfPrvI4tLKex546uirzi33CfNNGBGMhCIV0i4nUoNJQaeFfkqMpp1rKmXorBrOfLnp/InrAdxNjWUXRwh0vuUCWc2psNpPCImQMrOyclBnaWdJtnFr7hs7z17WSa/Itt6jALdt61IEGbgDj6LE1DJ4xuKeJsiyo74fE4YxJxY1f3xnE7wAX4oywCzkyTq11U7yIx8SasFmB+tEsc87Xz/gU/cNeOFci17q00jsprS2CtCUnTgqzwlQetSijHGsFJJOgVd+6KIWxvMUfmrnpfgZ0JUsk2a2bjx7ne3AIWWKJwzCpMw1NN/xMg0iLTbvReT7Z6xzzYsaIwFaoWOvkK9JLIkr+RTpWJ7KHlmwrI1C0MYMX3hV1D/yHkzyj78ug3/i03ejpAj6C2eYDAxaAKkN+jwEQyFItMp+sQI5FjCYfAMkA8qQ+g64C4PU1Wg5uzn6rVhuLZjzFjQlwBc2rRwKKwU8ifOcN9U6hUQezhyUnLXLrvoS4LKQLWFgipa2INDO4JwEP2PvwIuRMuLYWcFCp4bwPEJJRZ5I989yLrcrHSrAy5yOKPGZnRixY9OAvWdHDFKPYWqn8PqpwU8yHZ5QOEtlCl05d5MoTrmdtGuKIqZSGmm8VJMqifLy7ctVscuGVDpbKXRpzYpyMpZ91oiRQWTv5QZB4YQVuc0MCUUcVhoPZYxWNSbyPYbyYFxr5bhOdgZi73SH8+0vBevle9YA/MzJ4wgJnunTDGCYGvIt9pQA30Aks2EumSmfG/G5tqqw9deUJWRdOU5hvRBIyhSxnUoFvjD4IgNtJgHy18V7qgryfESEp+zmUp5XzkOx4Jb2OciBngefGbjz7h9PFxLF96w+DYKYhJjPfqXOuYU6/qQicGs4XAeFMUXqaHC3lDhP+gxHdoLtG1/a4yvPDOkkNfqeRz3RRFk6XcmyICovOBNCU3YO5YGmKGxJax1mM1UMtilFCzwtSJTAS2W2i52t5UkyoJfJtDx4zlg8d7mkRpIBvAJudxRFmeKvwL2SxXaSf47l7GbHc6DnlucoUnSHmnj19LqrRQXg//2P7qbeqL/si3ffe1N/mCIkKAOeyRKlwlYPetqQCrKMkygyUkV14PoLUxXX+WUo6rrJvFVQWJstTxMrUX6tsrLYvGPHK55FMQrBBXYxB0Vh+xHXA3gecOa628tlicn0drWWPPBjAj/ibFvzxME6eAFeJk88p0CpSISMIdxexLJ+uuxLLS9eHPvccMmI2akB7ZUG/UTRUOAn9m9RqbFH7AIcC/LiF7kJtgzs2hRTqrTSpFrga0GqpB3MpARJBnK3eK0KblMBeLGKZCZBCWxTqQD9WnKlyI4X2e1qFrwAuRakJh+TbW8IX0XMTKU3XX7VrS9bOfXJB6e3vmV9gCsTISLzHXGsr+/0E6TyCvApYRAIlLDgLothsvajsbT7hYoDHMe0+Lft7sIlwN2Ra8U+mU4JpwtwJcpST9tcnHeqWFmiiu6VEth5861l70xzexR6O7cELWOX4PaL6sQYQcwdD4R85bkWMvQIpLDzt4sKQnc+i1tHXZ6jYjSaU4GZ68zB0OfWqwd85+1d3n9HiygN6aWSWmoYJWQrl1v1pzM5p8duqAsxOWhPZo3AogB3qiRKacvoUmajJbRTiqyL6s280K0sfnMOJ1FXQPjr1q6IymvtJAXNWLl1ngm3OBgihb6+3dHfobV4cF0G77ZP05xovf6OO+76wVFvAUN2h5jsIkkrPzSW1YsaFKoSBZHXEKwP7nzJcksvZXYScjCUQM93YyhHG+QsbrcgKcHu5R30yr6usHjWDeOrKrjtOIUx5s56NoOsvc338oaDxDliImL+/J4JUhOiiuylG2CWfY25s1HR4GRdTEXzh7SjNNI82PQQ+Lzj1X3+5LMjVnXMIK0xSAV+QsHiUho70aDQwzIL8NyHdKxJp3pPC1Iv63RXGcg9W9PvpZJUGVRqKxht9liW4C4syirAi9JaUerv4rnA8PpmQ1XNisrqQ1Gkl73W9mzKrKb91OllzvSiH7zqRd9274HDZ+689OLNVYD3Bz08j0uOnj23+8mji0gzRc3LkhXZBzOGIj1TpFvN2o+7brOCE2i5ICdn7KLHsgRy2Ui8VnPmoHdneyglCi2ej0aoDLvJgO0pUTophR1oO+5tY7LJmLsMMD2HvUM/4omDkgOnaxjlo6QkkDqTUa5EKQX4mtLS7CiH5gjHr5aFFbZ7S8xVF/f46v46sQoYJIKaBD81eIldUVU+cCnJdDgSWyXk/krhsLhwpFHeMpa7K7bexYI7a2dTxgF3VgukDFJIpyafYvVwAS7WY/DxOYgXYPJ85XFLb51bBbAJr0YtQaoDjMLLdhszuETKwZ1rGPyBZ5aZaA24/5mY08shm6aLusFKsOCyENndlIP/gg9RtgvnSXm3PqPoGhlb1l2ZUsw6LGSKsN3zogR3zt55t7hXgFtWAO4O/7Hd9hTALrKVBXOnBJ5N7NiuoBhDzF/c02BpqY4IPeu7uzfheA2Ku4S59dG6yqoVb1or4thjbkby9td0eeLgBKO0Rl8F1FOrxfNyViXJwJ2vFTrzxF2xKCsa12QN3+NTqewhUTpfkUzx2gLczjqXWmfXp5xtaAHv1uyXYM7tw8JGhPUlyxhhFmAuBUKJH6eUY/NcwuSGBYKpoxjdL/77AuA//xufQUnJwlKPVqNGUFwsM6Yjxz9PtX1p3Pl0pQjFDTMG8MoHrgKk4hQ4TbHuzMEC4AWL54M2bWGYC/DAywYA+fnWgVmG0zP4RSpeZ6/TyuEp27nzwjH42F0tRjJASZVlL6s34ngGU6w5byVjVXV4psVTm9QIU4+3v27IH36+zzOH68TKpy8lQaoz90ggi6GnmayTonAy7ENnv6u6b5HL5Km2Y6x1zuJpPlZCWylU9G3mc1lEcUMXgaYstfc4g7tfu9i4IJU752eMK23hXXF+rZc/Gk3QX9lHMvy9zKp2AH7o6Cku3rGl8Q/+5W/v+mq7TRxqQiUK+228Iq5yhdyvL/Bhx0cPuNos/zfdtPYagItyWu34OGTpMHYeZOZTmzwv3+Q1095qDNx5+t7PG5O1nRlStIjlPZ1JdsQoP+LAKY9uFIDyMnlixspj165Q41V2lbr4ShJGZpm7Uos3fcHlW4c8cyAi1SEDHVBLbc22l2lwJezoYZtYynlPU4pKXVywsvLTYsErBpva95S2o/c8TdZBlPXbZg3J+XStNO/uLwwA45CUqYDbLX3OcVAFrvm6YC8J0+ZnyuYbD2NCYh1Q55Jd26/+141e+5f6zcmtFuBHj59haWn1ddfsmvnZJx/vUwtksTvD+HKLALEGzGMV3eMf3l2q12Xu9eRJ2cdYzs7LpIkzx0Plwz7zGmnlgLp4nSV5FJkXbsFtAVwOBfJdeeKyt8r6OoOI5a7mv/9li6VBDRH6Vp5IU1lVysE5X/uaFaWj2Thi47opWeo+STwmGh4//d1dvvTEBEujgEh6DKQkyHooy5EPecAuSntOaPIyWoPOwK0xyDFnRWQMbopZjjnYlRQZg1tJlMpSmkhpism0shJkrvOcAbna11mt/f8aZ6vy3wlhi7RSIVCpJJaS/sCgJrb97NK5vQ+mSf9TBYM//NgL1GsBBw4dQ5IQ+kEVcE4AWJD2BZZeMfZiPddkDbgpQe3O9ZZifWDbILOcPyhVOX5MOaD2pMTLJIlXADzX3LoIKn1PF+D2vbz+osrevooJgoiP3uPz/KE6SB8pJWFeGjseM+R3tBBrbvgKuN2Ej6EiUxIts02efK7Z3efNt3f4w8/X0F7IQAaEUhRJHyUFca57WcvkwmXyNZ1YGdAVKGNXBW2EBXc+JUxTbGQgpV0xRDF+2W0CpxzF7HT+FK6KGAf5eLtLFVR5gIoQDpbKHTOEsLMN7S57EatLJ0h1gE4jCoAL6SNkAMK32UrPVIK+AqDjd9rYXbce8CvuSV4YX9zVosLmpXbNbS9RAD9nR5F3llwQ4LIEuHJqqL2sLsWnkCK+Kt0S3xkOVGpuy96+Z6dWrbQ1f/XlFovtEGqZeyKcYOwCEqW4OCUZlSAft+1MmZrWae6meExPKL7rVX0+/ZUhS72QSHkMUpnZkyJzb0TZjC3HkyuWvfO3dMHmZb+klzsrKnudDU3V2ZRgy97Zbh1SZLpblE5KvuqOARxM2ZThgNMFeIEdk58zk1WfmuJk5srBNT1k9t9LaX8+8AX1mt0cC8B75MkDbNows/OOux/5J4ePnaEeKgJvfTlxoaVEZD88/jPjjF+VJqK4efKKu4pEyQr5C4mSD6ORogC3dFk70+N2uDtVcOc7G+TMrRzmXsPg+biJcuSEp2zm8shRwf5jNTQhQnpFc25ZPehKOuG4GuXJcGtRSiZ3GrSL4fFl7UWSemA8rtgRsXvzkKW9dUwaWBZPrUzxBE7Ql4PALfTK64Rk6YKZjM1N6ZNrKQrr0I1tVAZ0mY3GzuOg0ggQpUTKQF+uImUvJ7jybZyZc7yY4nzlvluJwfXYPJeyAcPeaeY3X/lPNl10+1Pd5T1HPSVSkni4qeHr18f9JVqNsACldUhEBbTFtTLV99Z8fx1gl+ydf+AqqEv2LivxSmdCOMFmCWjL4GSjgF0f3D2yLa2VC24H5Nl+9X5WGpqzt8q+9rwYpWI++9UWBxbrEJTyxHesy+rftnZcxPijOoLYSUu7u5vlZbSRx8VzEW+8tc+jLzRA+ySp1eJ+mg35TFlHCxcQocwxyyyHIcpgM38ts9dZEamW+WFHXstMoxdAz8Gtc3kCIs3kZua2FGpAjndsOSu6835+E1QJNGf6Emj5f1PIeBHS7fWZ3OS9vjFMNkUjcdSr+VabTtRhbspepVSbglkc/OJ+Idz3L6DNS6CLysWvAB1R0drukJwc0GIdYBc6XAmnCdcBdzafsNy2g7XA9soBQcWIN09nIE+sPFEx9UbEV/cpPvXlJoNhAA0PTwp8UZUm4wHm+M29BuCM6e8xy9D1xePEY7Ll8ZZXDvn8V/o8si/ANH0GaUggKG405WjT0pZzGCkDuXttbfCZ3WDKsnkqrR7X0mrzVJcBpy60t3B2hnBiJDJ9roXzOSzwi+xuzuC4uBAOdsaDz/JmWO9E5mM4Or2Qdt9jJhYMI4mXpglJEgOa0Le/Msn7Ph2mWfMPrwNy4XyjIm3WfO0Ek6IK6mqw6fQdOhIlP5QS2RzwEtwlyPOyWYPnlSOUvWwTJk9Vge4XbG0PpWyAGQQRcZTy+YcavHC8Ab6PkCoDVTY3xO0yv0AVYUXmuaydj0UYn+OY1UBrxy6MIo8rL0p4w0t7PH20zigJSKXPQCuClLHPIij17VqQm7HPgspvNo1WApXXgcisXEOWWc8i9pEgjSlXWmMZXgiB0OMDg3Jgu4m+XKaaNUQgMpmwhiAcAi2qrykzsaNIEseaOE6IowTvjs9+Ds/zWF5p43m+NfwRZKn+tVUDX4e918qScrJq8SzXsnp+V7sgLlm83IGglCaOVVgwdg7wcnJqIVEy5raMbQqm9orn8rWfBZeeigmDiOeOCe78SoP+IICmjxR55SCOPbhOFjP/u8auTl6LYk+woDpIfizh4xRgRbFPqxXxhttGfPq+IU8fDsELGGpJkGlxpUGljqORMScZy5K6YC+BbYxd+QrpIi2b56tKrrm1tEBOdb5zhSiGMbkuV87QxVB9cokyZqFegAzXk7zrMXhR755tFCyVx54XnuLQoUNoneAdPn4eKQRRnNhJnkJkGSnWQXcV1O4vLJj5AkB379g1r3MWdyWKo7lFBvI8Pe9mM5XKdnPIKgq9ouDKsrUq5oOPgTs7/HwKbVbg76nEHl6M78ckJuWOB+vc/1wdah5I29Ds52lyF9SMHe4X662sTl14YdtlDea5o5JqWQH6aOjzimv6vPFlfZ4/ViNJfIxQDISHn1J8pkIH5+xYwGEtk7ujHJTKmduyuf1aILUdsipl6ffnbC51rsOzG8uZByN0GfRayVI9N0UwvAY3TjA5DvJ1oJkXZHnKIHUbE/fBGLxB1q2eJHZbN09l3dkXuCjjd1cF5JXntduL2O+Vf2R+95fsLSpgt7ZTxuCq1ORlmt45VAnufFeH4vDKTVBzQPsOqHPnxDom9lmpmMCPeeqo5GP3tIAApI8QCr9I7piiuKoaLIviHORnogowypoUXOZ2NLgR6NS27tkptKpI3xvj8Y5XD7j7oSGPHbKTBGKt6KeirKMXZCn8cqmvcpP9LMYYy+IO0PPvqgz0Wmb7+Th2ZpHUyqpNpXHiJhfUFeu31NdljLLOxleiDCbHAX4BWBY/6ylDs2GbVbQx1Xrw8aziev9A5Zc4QF4/mSOcP6T8I1mjux1gZ4dwlrtia8I8kHNBnrF1udmUZe1yAH4J7gprO895Y20uVZRK8P2EOE2495E6zx6sg++DtMFlIIwzOdZhcFmNJarkXYWWcV4UDRBOjUilujCVaJU5KqnHKPK5eveQV9xiWXyQWhYfiYChBi8VZeCX5rIgD9rcNHS5a924dakkGGUbXJTBZj+NQBibhzBGZJq7jD0qyTmHwQtHR5Y4GM8VlNp8HdZeVxabNSSb/9787xTG4NVrtucxjiUjsrG85Hf+OFuLNUsFxYerTjkqPUpRYe3CG3V94gzEItPdKvveeP1JBdii3GAqZ20X4CWDO+B2huIX7olKUZ4D8EyiBF7MgTOCD32+xSj2oeFn8oSiNU25uwTnpFCQw5hmGX+YKtBdmZKPli4dlXEt7tEMJT/0hj533N9k3yl786Va0U+VrTJMs+RPliERaXZd0+pKYnKgOwxuAW1vOJlpdKkNJrtGRgpkJluKWMkFu1hrm8qKXHHBbQoy/Fr5k7VO3drKVASIVDAcKVLtYYxGffADv7mx2Qj+8/Fjx6/IM04yb/Qtki2OBy3yemzHhxaZPpYl86qxo5AargviZB5tGaYoxgMXwFXj7ogbRFYDSc8rHZN8ApQLbl8ZPD/PWqYVB8X34qKZwfciUhnxh59p8Cd3TkEYgqqhlEdDGerKZOMoKBqcfac1rsykuokoSTkZlkqAWsYSpe2Y37RCkjX+lr2QShqE0WzfFHFqUfL4swGJsJMHtLAj1jxhxohl7bIPwi0FKdrGhGsRm7LPdr2boarhs86u/L3coTHVr/Pe9LKNzskBUNbHGMYG6Zvq+Lf1BrymWjCIYNO2GzbtvPSlX/T27js6tbjU/vY4jvCUV97bQlTvpDVLhXDYyr3b3DSss+RUZIkrSaoOirvUra0DNxXtLQswlJLEZW9V7PRgCqD7alyS5JWCOXvH+F7M/tOSj3ypgZ2/Ytnbzzv3898vHNkknJp2h7hdZkcIR5aMgaPYzqXMJOZj8Eye1TQSnSpSlWnx1ON7X9Pnk/c22HPSBxlhhGSY+niIIn1unZTcT3OGmxbFzvahTBl8Sgek0nkujpy1jf0dRmf+uM4C1DVWcPU1omykGXfZLmRWFBrdlS/Oqc2/ipOINO58e3f15JS32h7Q7Y1IUoPvj4FaXECSOGgf1925jHE/aFVnrxdUlmB2X7sAtxNlc5nivM6BnFe75Rq8Au5SlqjstVIa5fjdStnDUwmpSvjMg032HCi1txDSjqwoOmhY9wLa4Nn9WpTnrlQnzutqA3LFE3cmUnnFrhm5P26lypWXjHjTy3oc+khIlCoQHqnwGAiBl2b2HXmg68gBB+RFCGzIfHlhwW4EGFN8RuWyqTBlil+AzrezERbkwtHj2iEwnWNFVptc1kiNNbgaAz/Of1P8XN7iaPBkhCeGeJ6z863rYdr/QFT+oSrQ17vLXNC7dRBVSzCfSjoOkvUBXrJ2/nXB2hmLew6wXaCvBXemufMtTqTGk/lQGwt23485fEbxPz4xwVBacCM8p2t+vAm62mr39cN9SjAVQV3mZhgqy20ZaMpyboqSKG01ZpL6hGnCP35rj7+8t8Gh0x6oGLRHLHwGwm6tXlT6ucHmGMhzbz63C/MVRiNQ2HNtKBlcZTaiNBlmclYX1nWRxlSA7QJdZD+vHYCu8cHXAb97WtfzxgsTI59QYCRePvQm8G1TQBETCYd51pEhlV/iSJOKHeiyd/7aAfE4A44zt3BYO0+k5OC2oNelRVg0wubgdoJKmR0Vv9s5pJUnvhfRiTTv//QEp86HoKw8EVKW1mD+OYVjx41fqEKmVLcPvCDQcfSoMWXZbGEd5oN7HE88VaRSkSYeW+dH/Pibu/zqhwLasQ0IjJGMtLK2YeqkxtNCbVdAbvIP437aLAFF9tmUMVlmMwtARbZzWiZXjLDyJCsELM6FXudaV/bgHJcp6zL3OuBe5z0hQKeCUWQPT2XzQkJf4nnyguRT/rLyXx33uytLi+uQ5P+JXH85L5jbKdp3pUnRaKzKInslXEmSW4Xa0eIloK0ccSRKsdVJUjx7KsYLYz5+R8jv/cUEI+1beSIUUkgCQdlULKufu6K7i5vdRfb6EHdnJJVWoavP85S9sRt8aaeUNnNVEu1R8xJ+8m099h8L+OBnrBYHO2ZvqG3AKVMKBi8LsPKLVTJ2LlHyFUaZUrJYa9BkNiFFQZaU9ns6m5sj3NJdx5WznThVWVoy9fqSd5xg1wP3+FlOkmyXZA3eZFORjOze6wjpTKZaD+BVVq/qJVH5UOsy2th7ldY0WS73JZMbxx50triTpc5WLmsX71fBPc7aKrMDy2c7a3B5Bf7ySw1WRjm4LcB9abW3J6rypPJZc7tsfMUbw7ertV0Gx6nLLuUJhcNQAXdq53MrrdDaI0k9JoOUt762zycfbLDUzYakakWM1eNFuWoG7io4XLmSf8pygJNykkJ5fYo0FswW3Blzi7JuyQaapXQpcbAW7AiRbXKwFksXTPZcYGU0wGCo6fRSVJDiucX6iPX3p1zrRVbBzBiA4cLgXk+aiDFWLAqGXGmiTDauwLXTHBYvhtPk23yYMXA7u7C5ejx3ThoJd3y5xiPP1tG59pZZz6XI5Um13qSYJuWyS0WPl99bn8Qz9ix88FKijDdDGDfoNBJlSl88SX08nfCSayK+8+Y+f/zZAFRkCUsIRtqzNm4GW+kwd5W2yqyPDSqFY/FlBJPXzsgq4LWx58ZkGWhjythEj133tbjIwF6cw3XS9w7w15UrOcBNvuemnffinV9OWVlNGYwMjXqpl9fcIRfQQOOMtR7I1/xxmEpAKWQVMK7eLoqYZDm6oJhqpUwWZOqS0VW541oJ6hzYaabFM4kiE5S0g98PHZd86I4WZ7uB3e9a2kHvSlDu2DAWL6xdmUQF8OPsvR7bFIkeh9nHN+yqbMPo1IkrmT/b7U82NlN++Dt7PPhsyKFzEkQMKDSSoZDFJlJFZjF3v527sKhuhOJ1XlmoDBhpN6OyKXyyTKcpWds45bP57xECI8sa8GozRPlelcHLlH2JazMmj8uTXGp5uw3N3JRibkbhFUkIx39ec13+GqLfDRYq/mbxoU0ZYFLKEuECez3tXWzRbSrMXdiFGaDzwLLc6qTU23mgWehumeJJK02CIGaUan7noxPc/0Td9rZJz2pvKW3XjijnrxTNBJVNUrkgk7un0D2nazOYZZVhue21Wz7rltHadrPcLkxTTSI9VOLxihdH/MQ7Ovzi7wSMEmkzUFqSZK5KUfAk8k9RAq3YHEyWTG7HqVhQFzelMTbbnAE+L6c1uWTJ/n2TAS4PRgsykCXwC2yM287OZxQZyFzSqPJGWZglsyA3TSFJMw2uY0mjJvFU9R8okz7rAHsdgK9l7+oclCr7mer7FSBTMLkFla7M5MjB7klTdHuXwyKdcb9r2DvN3k8KBveDhHse8/nk/Q1GkQ91r9DeBXvnMUBFnowxt3NhXEC7DDR+TdzCpnJrRhfcYFSZ7XNrxVMtkdpKlRzoSeJRbyS89RUD7rp/wN2PKWsbIkFIYuExwAn6KQNAcAuTSrmSF11RBJuWqY3Ik0G2+8e6KaawDV2g6+z3FdWNxmXy/ByZCm6oMHdVNVQIuACqxVqqBUmc0u5pvFDj2REBdj8aqYD1NLgD5PHXa3V4tb3/QvLEBblrCVaY3GXxItCsMnnB4C6gHZ+7BHsJbi8Dd+DHrPYMdzzYYN+ZmpUmwpbEilx7C5wJUmtZe+3f5wL6a+iTHNxZmWduyVUaIagOnazWipc1KlIqpE6R2iMeeVy2KeY7b+/xyJ6AdpSlX7XV4xGKfB8ISeaNu2W0pvzseXIn/1MqkkXkToqNGVQWZOdavPDHnZIBMwbocU1e4kkw3gSxHvbWPZ8YoliTpPZzeUExUdWArHbyrAvyNb/UrLnTxDqgXuOeyKoscaWKcnR3MZZAlQyfA7vYwruwCPWYg1ImcDxZ9lgqaTvlNSl/9Nk6v/eJFkbk0sRlb0rtPebPy3XAXZ4TsYZxxq5CtXoPR6bkQVxeF27WtrKVGU2NTiVaWl9cSU2c+kil+cm39Dl42uf3PukRJyXINYKRkCidD5LIwC3K5xLjJZNnk98ssLESJf/MVp7kBJWDPxvOkzG1lGAKizBn8Xz1c/Eh1mAqd37GzY71zqs2EMWaKNFEscbLJ6n6nkGTRcLG+cMcaFda/HPWHpcqFwB14ZZApQNkfQ1uxljcDTDNGMh1IVGk1GNuibPHjGMJKhnjBzEHz0o+eW+TXs+Hut0L0u4H6Tgn67SlVRocxrR3qVK+fpKnZHAH9OBocXc2dl7v4QBdOqn7LOCU0s40bDUT3vLKPp9/oM7BM1n61c7tJRWCgftJc3AbA8rOEIdMiuSBZ/ZfK5EhQ2SThjPnTeSZzuw8mTHW1qZspKkE5K6MxTYql8Dmwiy+FtsFYSSJIYo0o0jjKRUgpF+0JeUffi11myqw3Q+Q/3LXNnOXcNxaYBxbsOqayHyYTDFUfb3gcmxetTKFFCm320iRjjyRMi3ZXNrak1GsuevhJl96sm6Hg8vS95aFNHHnb4sKyMsbeqyhep0A8+s9iouzXuVdNn0tZ3CTbUVidbcuZYqWpEKhUo0Winjk8drrI177kgEnPucz0jJDoTWoEzxGwsoNqSllSk6tFYKzX+d+t8reklnu3mQWZFmXshboNtB0kzyWkaWz4glKZq86I+PEeoFlMXtSUlCr+TQaAd7M3PbVTjf6vCH4e5Ci1Ne+MlXNbda9ywqtLXCAbSp/nFsELyuAr2YrRe4/57agyIHuaG83uMzdkxzUeSpeJkhlO3VkkHDfYwHv/oNJUu1BkO/alrH3WFo+Z3D3sxdyxbnBKzf7hahmvWtiLiBTKu5JOTvQaIEWpaNSJICk9caF9kgSTRCk/NyPdNh30uO+RyU6EFh42gsRa8WghBKFXJGlJndXFJXLlxzomaRV0kqqXJ7kqXrj1MqbjCAKA0PY0mqdY8MljOyzrMklFMxarSjMmVtkRNxshszNTH5+964dq+r6a7b1VlcWD3mKnxDERY+jm2nML2Z1PMJ4WWs5ACcf75VbeVZXO66INMXvqbxXJG2gkq1UpeetnCRO+eyCuyymUk4GUzm9lieXBe/+0CQPPtmEmp+Vw9rDk4K6pNhQKt/gqthRYc2RtW8VQ3Kqw4hU1u4l1VjDtHP+yq9FdQVbp6LStSjFGpmXzwk0hc6dm00IPcMjzwSsDpzagizMzKeI50UawkVO/nWuYMbMzmqpQYUGKw5RsUrlMFwTg4g1dmlZvuC+79bGOORgygSP1powDFlYXPrh557bs8+bnUgQUhBHCf2ByZbBrB6hsixUGXs9Ni9YTOY/Oz5pqVp9t9ZTNk5g6QSZuUwRugB5hcFV1SmppuOTLKFjQZ4GKR/69CSf+nITU1MgVFExKERZVOVJU+1vdLW3ExC57knl5FSv9xoPfDwxXgBmrMKwegHL6kKd138UutypUREKqTWp8JCDlLe+asALh33e8wGPKExKgAuB0T6jXFPpMvmTleVZsEpAm2L3P0Smy0UZeMrs2WS6W2ZBqMzey3FhKsmdarzmqoGcjdd2+jjs7ZzE/BwlqUH3UvxRgjEGr1FLkRJGUhPHmiTNJx2V/7Wrt6n8cue98YBhTbBZ1pmUzONq7xLsqgL0qvZ2nRNXZ6vC4y71tsw0t3RqT+5+NOQPPtdkmGZT8EV+2GRXUXNSkSPjU1MvkHpeJ/CkehbXR78pp6yvyWhiKiW0RossNe6AO3dWpAW4kdYX11KTao/Q1/zIG3s89HTA3U9auzD3xpECbTxG2rajlULasQ6x6FVZAGgBXUqW3DJE5B557om7zklZcSgkCCeVv7YSNTsyKi/fF+X3x8LEnMHjBFJjiFNjAa6zPqCidkBS9M6V4K7u8OCmTt2sU3lxXQelythFkFk8OyzuuCfCBXbB3DmLOwBXqeOH6wqwyyNBeTH9EfzK709y+FSI8crdknPf28+CSyXMusxdGQ3hvsYFtAPkryPIx7d/qWY03eKr6pi1Sm1KpeJQooXKpq0aRKoRwkNGKRdvTfiFH23z0M+EdIc5Y5dSROMxMhnYcgZ3QG5E6agUTorMxlwIU7B3zuR5JtMUxCbKElpTksSa1T8PMB1MlSvguH3oxg84K57BaOv9eGF9DqkUaa9Lki45KdVqAOlKkcr767xn/3ZTSJXyj6kyYXWXLorXqgJ24wDaeS3c5M1YMiffnTfbgtrzYpIUfuvjLZ7cW3M871yeyGyTWeO0o5lKcFnx8N3z4UrafLhOxR90hV5F9BVvVSoMC1CXmtMUQWZZp6KzQNPobGdo4TB6KtEiO1JlpYo23HBFzE9/T5v/9tEpolQCSflHGEGKYpjm8ClBbrC1JHaGfpU+LYgFRtg8SjbPs5AmRpQ++bis04L1u3qyeYMlxkrmLspRihvFSeULgZKa2dkJWq0J0jTFu/Sa76BWa3Lk0PMcOfZ56jWv0MAX9LTXdU/ckbYOc1cswvHkjq4Ae32JorMkT7l9XWH9rQF31Q5UMgssaylffDjkgx9v0R74NoPjgLxsRyuzloVLMj4KQZYn3e0vtE8lh5c7q11gdPI677ksToW93QKsEsjG0eOFNtcGLTI2l3bTV6090kQzUdP82Nv6PP58yF1fVdAQuZ7ILhykKEY5kMeZPHNLTKbBy7Q9GCkgG/yT/5MFyLN/TY5LE+FMjnVliYst4+DNkTPkiSIomk6kBJTmda++hetfdC3dbhfPCOseJMZjFNmUfe58VIFuxtjcVFnMATDO6wLU+XuuHej44EJUgS3GtbdwNHceZIoquGUhT2xgKWWC9BL2HvX4Hx+b4OCSn+17n7G3uBB7rxdcljFHhXEoT3qFuN3X7iOXtWOJndL/LhMrhZPglNRqQ9EEXEqWUqoYo4tNZYWWSKFIhUZIhYw1u2dS/vHbuxw963HglMB4YyJLChJdeir5hCmTB5zCWFBrG3wqPRZsZsGpu2aZTPLmz9liV2LECAdDY2zuLho5YZLr+AzseTyXTWaohx6Nmk+aBHiF3eVckCJd7mYcK3dRqYeqH2btFP/x4LLC4uMAzy2uPJgU6wBc6WpwWYA7S9PLUpoEYcLZtuBXPjDBJ+9pYHzPtqEJ32Fv4WhvZ95J8RnXDyaLJdP5ugC2c2Gcu2A9wq6AvSJbnESP2yZWYXIjECYfhWzZO9Xl1n7WUZEI4aFTQ4LBl5q3vmpAeyT52fcqzq0KCMeZ3CPRkmEGVSOcILiiEyybq4LZ8/oUkbF37oE7borDumsUQQ52xs6x+5xjzWRxG4AWRfKtHDlh35BCKHw/PIuQdzYnpgHtzBvRVS/a9aqLYTsGN6u4phlhrAJQVVwQU/Gw3bkf1TkgZQJn3Dkpf8bagJbFba1JhOYzX6nzxUcbVnerUnNX2TvfNbg6b9B1Syp9lzjfc0hhPdYuwL9eEZtbi+Jq8BxYuDNGRNVdcXb9zTvvLYPLwmGxr1VWhWhfJ4mHMJLX3TzkTS/tE4jE9njpBIx7aBIDIw1DI4g1xNmAy0SL7LBtYUk2tF9rO9uz3I7QHehP8TO68jPO+9o2KqTGbksy/jNrjjQri81+NklS5udm8Dx5Zy0MzyqlUO9976/z7a+/fRUhVqWIfyAenKNRF1k1HhWAujXjeQrbDRDHKwDX87OV873iJlGltq7eSON2oFkDbsvWWQq+CCoTUqn59P11/t/fneTI2TBrYgicpI6HkIJQQk0aZ+aJKWaLl8mcMjFVbJ8inOSXFNn5kJT7CTmzzIvBR7KauMk1/vgxFtCO18G4VZj5plNu8Vo1KDZrDAO0YWYi5cpLEk6cVxw47tmEj5Pgydd+nelkxFgSqNAO5dJlLlifUN6szqK17vCgNUkgt3yBTJYBZaaXYohQEidcdukuZmam/sW+/QcffuUrbrclwLMTXZQXIUY9VDTC84KxSoT8BDneuCgpyK0VEM4JlYVON1QswsIDz1Pza18XnrewNSbWDy/ZehzcOXsrmeD7KUcWJR/8RJN9h0JoZQmdbPpT1Tkp2XtcjqwpqBKs+ZkitCwCzbWyRVTOVy7w1pK5BYEeS/iUwaZ22T2vG8+WZ3euoTTVgiyhFbYtTCGyoDMeGa7YHfMjb+3y6LMBRxecpUq7IFYkMsup57agxNpwjkC2ejx3VLCNEA6YbW9mbhWa6rkVxT9T8bgr5zCPXXBiv9zyM0AiGI00pxYjphaGDIfOJlQ7d12K8htMtfr4+nmGI0i0XdouWB8+5o1XgO5oq1KHu3P8HP2dgbkK7tL7ztm71OBp9r0xv1tkromXsNwV/MafTHDvkzVbJVixBS3QpSSr93Y9b1MEw0XXkSNPCpnCetWE5Ym4EI+NPyoZTIfa1jBcEWxmgJYGjcheZxZi/loLdLbFthZ2qbfxkkIL+5xiEEKT9jWvun7EP31nh//4+1Os9LNPLvPrnj1rQZK5JJWLnlmHRooM3JlHngehjj8uxPpALwPOsUXBBfrXOalGQ5QaekOP+c07uO66a+n0BvZPAWhObqY1c+1ddXX83TNTEARJOTDH09XBlUWtdanLpSrlRPGedACa/bwUuqq/paaanXRazsa+rlQEFtlKXbC2zOpNhsLwO59o8oGPt+jGvh0eKPKUvF8JLAO3fmYd56RYkdwSjtymcgPMgrqdoaV/TaSPd9cbUzJ8RZNXrEPhjHpzvXFXf5dpfeOk8bVWWUeQ1eMtD37ibV1+8q1d6iYBnVo9nmvy4lmTaBhlujw2wmpyk+vyrJsm18Y633Wh1NjpBTR6PqouNeXP6bSqt5P0Akc2ImIYGQaiweMHV959+81X3LVz++aSwf36Tt7/gX/aT7Q4sm06YEMrLbWbWXuVqvJljNELBi8dE5fJXebO3ZL8d1l7srwxSqlS6m7heOBFKj4DufE0LxwI+LO7GnRiz/rd5HagV7C3oCyH9RxHpygaG9PABYYrkX81wHQjf8a+/9dD+hhjV+RI/p6pMHrO3EJYZheyKk+kkBiR/4wNNEW2p6QQBmkMSaJphQnf/7oed3414Kn95e4eRSam2DDZBpcmey93VIwQhSRRuduSuyrO92TG1nltSpG6z5M/Y6l5x6xZg7sqSdib5IZLI268Yt+R//e//sv+v/+X/7UEOMBLXvIjSK/G6pkH6C8/QhBkNbvr/LNmDeidAhjKQKdsO3ISOTnIczlSvNaOXajHAJ46TO4weuF9Jyg/5ZnDAT/97mmePRBi/GoyJ9fgpS1oKsztDtFcT2uvp8cr25OIQo1XMP3XkSvrNpg42psC9OWW21JbYOlsGI/Od2EQ0lqEWd24yG1DY50GW2VodbkWmVcTGa67JOZ9P7vKT/wnwbMHs+CkkCouyBWplozyDh+dAVg7Hjkia60wdoi+FmV9ilgL9LK7x57D3PNee57WP39CgC9jbrr6Ov7+d7+UTnfEGoDv3DaP7zc43GtwZkln0b9Zewfl2bXxX1Jc5PFkT5W9S+fFrH1vjLXt6yq43YSOzBI6nq/pGslvf6LBU8+HpJ7D2qLs1AFRBpbCLajKg571HAgX6NWioPzkugkeUQD96yPcvWAVGV74uOPFV052k6o3TiUZJBBZKt8OoZcFmK0+lwgMqcibcDWeMNxw1Yh/9JYeP/fffLqJAJ8Ke7sXPdWSaBzklLUpKmNv3DoV52s5Dm4z5nk78aN7vlynJf/ZfNIWooWRWzGyX/w3BcCF8BEyPBiEjUONZmO3Ej2Ucv91R++xHovnIHdZmzUAF1JnQVqVufPAMgd6XlRVZewsuBQpSuTgTuhrwQc/2eRjX2wyUl4J6CJbmQWWOXvLMqEz7nmv12s5Lk0qNSgOil2JUjomX5vDx4ut8m22q03IOQzzLKYL7rJsVggrUcpEkLTjjAEttWVuYwpXpZArRpNqQ5AY3v7aPnuOeXzwEy16MZYN8ry7NnnheAHyvLGhGlSKbH6KPRkGp65GiuLWFWYsl+CcuvWkiTsfPAe5EBAbzcxki1areahZDw/GcVz8t8XHnZzZysrZL905OVH78MzMFKE/IvQTQj8hyLbW84pkSy4jqvXaYuy9okJQVnX1eCBp31/nvRzQTuuZFE5KXqV0I8EHPtXkP31gkvNLfmYuu45JfrjsbdZkK4sjO8muY1KRIRfS5KJ6kYr5hF/v4WYxx73g4nXG0s5AIO0QTWEful334zNVtKx04+fBpg1MVTZfRbFpVvNvf7TNP3xLl1aY2IixCDZTG/2Z7LXRtslXw1BDpAWRgdhQJIISJ6DMA0yb6Mk22XLeKweNZsFoduSJofzfi1PBKBWMEsEwlnSGhunZeWqN1of/9FMP3Llr59a1DA7g+wpk/bNTrfjNI5len6YJqclm4WlFKgTZVri2v24NB+WeebYZqBi3CbWz9GtcS1CMB5biwuBW0tZ2y5rhU59t8K73T3B2OQsqpTcGbFn1vEU5parqmlTnDea78lb0uAPsr1lr4j7/dR55FnMM5LkOx9XhOcu7DJ4VXwljx0CsTedbySLzQNOA0LqQKkKoosYjjgybp1P+7Y91WOpIPnxHC2qU/njW/OAyuUGS5K/zUbNUK1JKn98GoDlzm3yOCrmNuL7Q1ogyA2rKbOpIgyFkNfKearXqn007w8p/J90v5i/6Lu65/8MP3vfM8mOjZECzPiD0YwIvnyWSs20OiFxuOFo2G9RTZXW9DnuXWrsEdxk8qq8BbilTVKg5eNLjj+9ocmYhKPsqxVppIjLNndebFNOyHPausvFYYRlWf0uHzquVgznw/yciy/VxvpbBqcoUjN2nuFqc5W4DktewON34RbOyxORWYsHe5aTaYoBQJNk8l/LO7+ize3sEUZoxtsvkzmujMcbY1L6xTJ4YSHI2N/Zry8j59ojlaOgKi+crDtnuxdnPu+n9OBUMEkE7ESwODa3WiBddeuqxex/+8wd/4gdfVzmn3vhJvuqyLRgkM7VzBKKPkIZI+NkdlEX1whS9fJV5cU7GM2dqxjKVZWCpS+Z23JLixnHkSYW5ZYoKNIdOe/z7901xz+M120Ap1AUOmx7PnRMv6wpfr5nh62pv1r4/Xg00jm3hvimqSZwc1BWEV4BeVhYWDgpkOjsHfbWcNtfi9tSPs7jMtLcdwamFsc0t2WqbGmVLXjHooeE1Nw755Z9u8+/eN8nhM4ENOjHO2Fgq7orBgllLa1vm59wI8MYCTnsubLWidM5VEeM4MZ6h3KsnMYJIC7qpYBAb0jjCE4rpqa0k6Vr2XwPwK676AYTwo9HCKu2lRwFN4DeIE6+Sqi+uhht4QZamz0sadSUFL7JIvgD8GllipYtw3RLhavEU5WuOnvf4D789ycfuahAJVU3mVKSJKMBd1nmbit4urcv17cH1gO7q8grGxy5UpVbclTTjdRY5gDFrpEqFvbkQsMcn1IqSxcU6QC9kir19tLD+eC4ihFAkGmpewju+rU+q4d/91iTHzocZyIWFjk7XgBxhmTnKgVz0dtr/The3Qu6F21ko7qhl58fXNb8TA8NEE6geQgzZuvV63vqd3x9Fccqv/Ouf/doAN3I7Kmj9zKHFq6/69//97Kt82eE//LCm5pUbIRnnd4+D2z2szXgha1AXN4AbZFq2zpI6wvW7EzxPc2zB4+d+c5KP390gktkWbC6wHZlidxujuKpc3AAAKnBJREFUGF4vK+y9TiksDti5wOF8Uamj4H/t4d407ihlMtjlrsoa4Jsy0CyZvfTLRTb3RAv72ugs+ZMBPf9HRGZRCEEGdjtAx/dSvv8NAzwFP/+bUxw7H9i9wnPaLXxyk2lve+61gRjKGhbyRFCJ3EIf66olXRCGA26Z/Y+XLRwbp4b8xx8+zqbZOmdGm798wxUX/cz51ar+XhfgfjjBr/zuZzvGbNu378SOl+vRinrmYJ9rdwriVI79tCkv7jiwc0AzLkvyYLPqeQuhKzpcCNf3tqn408uKf/tbk3z8rgaRGgO3HGfwjL1lGVhWei2hHNHgsGyxXK7D3q7+dgFdyBBhssDtf/7hgtYFzhpQA1W71jgYswkgXdiFWZ24SRGufNGFz4PIpUp2PrTO0jTCIIwiSQwemrd/24AkFfzsb05xZtm5Gwv2zl5nhXYIO5IixrojvhT4uPmT3CysgryIX11XKnutAOVZTF25U3Ddjjk2zLbS11/s74uX/6yzcfYHvj7AAaJEYOL+T3/3rdO3pKPkBtIay50hgZ9k6fRMW2eOvFtNmIO6dFHWgrsornJALRz2lmPMrZQm8QXv/3SLj30hA/can7sqTfLA0h39UKbgnQGgVKXKulIke8O1BqvoLpzw4u746ziEBbgdEI8DvgJ+3ESPm/hxUvlj7G0TL3ZAkFBlk4TIfl5no6jyDKdl81yLA9IgUvBIeccb+uw74vHuD05Y1yTPk7ggLx4KkGik9a4zJh8v9JDClJlLk41azv7otUV7tvJzIjR4ScBn7tvG5ZdseOb1c6Ofnp8N1z23cr03f+mn38jrrhPp615xiXnRZYJmzd0fxp6kok8p/6iZpl4jU9Zh7vXArb4GuPEEdz5Y5yN3NhjJfGKQR6UENlsaQRbSxBfgYdYdAZFnLtedFAusq7uF+/e63ytvgP/Zx3qm2Ph8lPIbouqVm/Wkiqgk43Inohg5kc84LFrcsiNzV0xlq0KJ0dYj16kk1Ibve32fb3vpAJFXRBXuSv7aPbIJoplTEmVFWrnDkuauCe6Gr2t3GREOQeX19P2hZs+RhJHYZT73QCsVkz/Aeo91GRzgxptuJU0GH2nJZy+Ph+2mEHbsrM40XT4jutRNxrnTTNUd+TrMrURWRFWAO7MCPY3w4K/ur/EzvznFC4fDrGHYAXZFolTZ2xd5tWAGcpxuHcz6ASXw9YLL0jgp6buIRdybgK8N+vUYu5Kyd9+vJH+s5hYVyWLGfl5kiqFMDIns0MZJ3xfv2UBTyyz4zMayZcSKMAaTwrW7Y/7r/9PmXyu44/5GphuyT7wuk+d/jyTFgnw9JreV8E5c6ayMrsNlDIwSwagNk9OzvRtvvPkjzWbtgudYXugbralt5vzZJ36jNbdrUXkrTLVsfW2qqyxhP4U78Kda5+0GlH9dcNuSWAvuT91X5+f++yQvHMnAvUZru0wuEZJqj6Vzgiq1Je54OigSHWutwbFd5HI7sOoOVhlnHQB/XYSv97azSlarCtfzyNdue1LJdDpOyvj215WxzPmuyjmTZ+ye5kweSa7aGfPuf9Lmu17Rt6nFgr3jr8nkZh0mzzOVOYNr5ybNz2/B4Blal3qGdvr/a+/L4+2o6jy/55yquvfdt695eXlZXxYSIEIIgbCEXWEaHUZQdBq7/TjSgra4tdraTqt0j4q2rdLT0tqDC3xmbAdxkLgCyhYkGBAxUUjIQhJCtrcv9917q84588epc+qcunVfXjYCdJ/P537erfXVrfqeX31/e4gzzlg4sP63m25dOH9WzVtdU4IDwAQ5BcPFYdz78GO4YkURlAZgRAC+ACEcNA7ySVtQjM0bMKBOgqmywK2dSFFciUoAHnDvujp88p+b8IfttcBNLYpCTeCNHS2YtnG7iQ02cDPATar3sQFc668+eErKIu0DUuttxVI/bMdGrkSZkeIpmpLm4zIlxc2ySBRiQlXxesQcXcSlZLV1RZsQAQAV4JT5IT73vlFICfzEkeSAuTCa9fMSSU5o7PHWdyvm4zrR2UxtouwJPlN6X74Q4m2XC7zxT+agrtCC90xxmymm2pjrKfePBDf43ikTv36mAwMjOVSiONMH+hWccsnDsmlryU1rg1snMNCYlhCqOPdPf12HT/yTBneGlQQp6R3nSSqToKzOkLcoiZOhA3cCmN9FUn9t8KasKln8e9pKpgVOG8AufUknH8uYm5snYMWqWPsJW3JXS/G0S1+kEiOkJcmlZKarmxAMvExx6vwQt7x/FFecW4wTJUTCyW2vZw1JHgnluEliTuy4muTNhPgZBR7Q3kiwekkepy8+ZaK9md3Q2dFenur2TinBW3MT4qIz+zYs7glGf7p2f30YVhJwEzjl1tImQuOi17SkBriNA4dwECYgGcHP1+fx0a814dkdgfJSVklu5iqZMbg17zaWE6QCqdI0xXwSc6eraLoc27GsZEYQpqT2NFDuvltdbmpn2pu4lFj027VSpPV61w1J3Iau0qEvulKW5uPQPFxQ5XSxeLkOY9RpfE4HkLLEyfNCfOmmUUhJcP/jeXDAFZs1aRg1dnJC4y4QsZNUSHXvk2peMCD3PADIo6P3slHqz9nQ3z8xZU+SKSX4zO5OtLY29+d8fs3KFctC3ysj8Dl8j8M39UiqLScG7JCOYqnpSBKfYoGbKnD/6skcPvyPTXh2ZwDk0vEltnJJzYfAijVBjaI9KSXSmAZdfLoKow3o+EDHO2kfC3dbFW5Tz7wmaaxlMswAfVophbVeh90mkhtJFKKJTbHS2wQ165NtbrShluTC4uS8TLBsboivfGgEF55ZAnMkObfKUaQluQJvBFhxKjBxJyL+rrqlEYSRMl9PFEPM61sajo5XrqkrNPQ3NrVPBeGpAc6Yj/4DuzGje+6evr6+7d2dARoKk6jLVeD7Km/TBFbZXDsVb5J4Le3EhcgEUREmID2C+3+Tw/u/1IwtOwPV/i4T3F4K4HCkNzPgtcyDmDrexKEuqObgsCaHMxkwDRPhNKmKY+s2iE2ZBFOAT+ziBNVKpL3NNiGiWpo7Cmm8HANemQrd4Kw0yEWFYPGcEP/zoyO4ZFUJTCdlTgVyaKtcEpDF42WOBPChIChFwERIMDQhIL0mLFy4ZHvf/Ll7tm3fiXzOP3KAA6rWRzh6387Gwvj1CxfNRnvTIBoKJeSDEJ6XluBJHQ4D7JiaMCf8NQE38wWkB/xyQw4f/HIztuwOILM4dw1wM8274SYOM2LYS7XDALY0T62zeXVaqUybDFMSv1rbPIwhqxdtSQzY0ps4f6ssKrIa+FLb0A3fTk0MkZ4oGsx2bDlLgTz5yDLB4t4QX/3wCC5aVQLlAgi1HTwdfZhIciml4uOO9FZ/I6ESnMcjgoESw44hgdkLl2D/cHj9/7rrsZ3MycjJHt6hdmjv7IXkowBt3BuOlB8tkYfPjypDKFXqUaoEqlQYAMdVn/ZQUg6SAjcjqpf4rkGGx5/J4zPfbMKWXQGkfyhwJy0oKOAWzYQGt66HmJSNq3LJZ4DVBX/KPGijtiaApZEZ6QSIqTCta2tnbbRsCUj4t4Dm4XonXdbbqUyLhJYQaG4NE0OuMK9pCSB0prBut0fi6oSSxtxbqGcT27splKDWv5SGHEvmhLj1wyP49DcFnvhdHrsGCBBIs49JYjf2cAYBZTL0Yg5uT9qKJBgLJSZLJbQ357Hy9IWPvuPqNXuHx4pobao/JMAPKcEBgLAmvLDjga2DxfZbf73jfHz3foL9w8pko19v6qEmCqb+uE2hdLoZB8tzbNnr4+avN+OmL7Vg887cNMBNDbi1SVBx7ikUS6QShom9LKt4swZ5egK4vJtk0hYzIZx5MH1xbtMRc1yVoomUtQQOHUmfx4BcuHRFZeUn0jLxdlIrxjzxaialJ6oluR1LLisUS2aH+KePDuO/v28Ei2aVlRhOx5Mb6sKBWIqH+rfEwGRxsfHu1grefuEB/I8bF2DpvMKtDzz28NbpgBuYhgTXY9/EKWj1mja8OEru2T1YuWrnS39Ebo4q+Oh7CsDKO2hZTmgSOKVc8ZECeF5g614fN/9LE+5+oIASZ1PYuaslt/ZU6katduEe0+8GGS55IIOiwLWJ2yi39zPBEdVmwwTCMaSlszglzLX01gYSmeDakeyy5iexlMABPUls5PrcKcuKkHGrP9suTkUcn0KsLB5V2YpSTEOSAzQCZrRwXHdFETlf4rNfb8a2PYHKDIoPN0FAsblTSmZS2EgM7hyT8CnHvFaBd/2nU3Heuafck2+ZvwEYnbbQmJYEB4DVp85EvRjeefUlZ3/gynO61uaCLgwM51AOPXBtOqRw8igV2HVZtbhHfCCw7SUfn7ktBjdYDVNgNrj1rPTjj2dLb5qtTDrfoU8jXWUSKcCnQKxJiq1gWpqmO46Sg2daUCwNM5HoJOUAShTPhKdrcKv9HYktXFt5lZXFFO0k05bk2gsalRlyQuKaSybx6RtHsGBWWWUGCctOnpLiSsFUN49RIOdLdNQLNPgN2Lh99tp8y0UfGBrgOwlZcOwBDgCz583C0MENu/oWrdgEfzaGRxmiiJkowqTqlO6ZEyWcmynJ/cJBD5++rRE/uD8Gt8eQHRGYArdl8E+USdtCIqvNgsjg1tYHgANyR2HUwLeOdSRyBmWpPY4A8Q7KEyuHTG22PZ0a2Gq9tBxEiSJpzifdbVkWlOTtoHm9VcG2BsiFYODCg5AeeEiRlxJvvXQSn3nvKOZ2VYCyBXJjXQkBEUEIgYpQCiekCnUu+BxLF83EWatWbHro0d/sauuYcVi3cdoURY98/Uy0tvfcsmvXzgWT4uC1lLwEz+PwPdVNwcSSUN3hjIOyCKGUeOL3Odx2dwPusjNxoKVzEg3oOnQSya09lSb9zAa6kbzSAFBTlSmjBau+E4fC2Piccn1623RBXHWAViazaYq93lhViBsbnvZ4SiINVRFxsjiJV+gQbinjBDKSuOypjAOfTfCViNkKtZw+Fl0h6v7J2HIiKSBDDt8TeOvFRYBLfP3uBjy9OY8yV48ewvrZACLiY4IT5JlqJNU9ow0nnzTv++ecddotu3e/eLhwPTwJDgA9s2Zj09MPjviFhe/q7pTrmhorKORLyOfK8L0KfC+Ex9RHNX+KMCmB7/y0Hlf9VRu+f3+ciaPTzGhKgtNqhTIL3LYr3imeaSuRQDXnBqw4mQyzn3Wz0+A1a6aiJCS9Yno4N8CNv6Rt4W6BTqMVuIBHokCmJ4Hr/rY6J1sTIklSpknwlZHs1KyXznIiyblxBlFw4xxi4BGDLwiuvXQS9/7DIP78T8ZRTyOAR4AIrU8ZkpcwGXIMlIGR0MMkz69bcer8d639yX0jc+bMOWyAH7YEB4AzV1+KF3etL0JeWRl56TY0FIbAqEQuzyGFsm1SIsACjglO8N0f1+NT32jE8JgfF6GvlUPpJi0YawkST6UNbpuK2E6aLA9mZrOjFIqrJkSadGdI8qmiCQ8L5DZajcQ22qER7Ip2Wy1OlG0w2W7zc4IqHq6tLiz+pzqsFlIJh+StkeR1yrh6MgSNFU1V/iNZVm8LqivQUqjEZhKnFBMOKQko5eho4Pj8jaNgVOKOe3VxIQmQuJKmpAiCEsoVilmLWnHTe66o9BdRfNOVlx8JVI8M4AAwLk4GIH5TDs5fve4Pd9ftGajg9KUh5nVG6GgWkALYut/DvQ/X4fPfisHt2VJaF8ZMAztx4hCiLlBn5qQ9lWl3vFO4J4M/G+mdxclT4KyS+qgN6CyEHzbINTMhliQ3YEuwr5VFSKs3jrGW2Fn4sGgJTNaM4eux9YRY33Xtb1NBC4AEhZDKMqazfyhVVyPiGHAd/w+RnEs5AOM3DSFx9hcBwght9Rx/9xejyPsSax8qYOsBH+AEHa1lzOvgOPWkCg6MNeI/X37R5Pmr5v6G0cMmGs5tPeIh5SgdGZv8++s/efuH7v3Vxnxv6wTeftkYPnBdEVt3K2Xy4WfyKHO7nFqWQqlKNSaSO1EmfegQWCtpgbqhsOlseV37pCrQysrBZFY8eNK5griWGP3d6uiQfE/2ZfF3QuzODup8JO7uoDtBJC3O40kYl5GjzLIExd0yzO+I17nb9T7Jd7dpLuISeAp8LN1tw65k4NRltxsRJKEXxMqzNZGiJjQ6qZ5AzHISUZrk3HJjLvY8jjIneOiZHP72X5qwYzfDB66bwLWXFtGa8zAanVPyuj7+FULrPzWnOy+OFKOH9nVOMT772c/LoOuSR5vr86yraXz1k78fZhs3+9gzSHHXfXX45RN5cDDV+Inq5k9xAyiaijWJ0UJoQkc053bCX+MH5QJcGqlNLXCTNFCtZWKtT5IgktaATp94kgCY2OtIDGJzTJzUS/R5SLw9WTbn0G8V67q0kLPpVPImIu61wv6e2kZ0ZTGSsW/1X+ftBv2WIkYC6kwaV4m2U6+1TmA4Xaz4JuslSFzrJP5IIPAFFs2LsKCX4/STIlz3piLaGkJs27u80tryultagn1/19WzPMJRjCOmKHpce8H2yrLFTV+47fttlR1799188Wl7aG83sHGLH3ML3U3Yh1OnGwQ6+13fYA1cj+jYElmVkeOAGzAB805dE+uBujZuWUVL0lQE5gHbK5L1WYqo/ZBJ1qaMAzRgzHL80ZTB3k+mqItM7WMfn9AXq14KcSmLoTMxzXFoiqYxJizAeO3jOisCmjEowwnVKm0cRBBbY4SS5JKoBApKBECEATsAkEiCEY66vMTG5330D0q88bw2sW907s0//f2sf+xs3F85WnweNcBPXvE+fPuueydp/Tn3fPLdTZ89f+EdaO/imCgTbNpeh/GQAZ4P1QAqltigDrCNdIZlGbGBjRTnrgFYOzM+gVw2MA0+jBSLb3pKeTRyKn2cjVuStTx99udYSax1mfvYnNzh01D2bSItRVHvRxKOb/aXDqhNfqdQ5SdpxnWo/vNx+Qkq4pLHKpZbZmV0ERLn7calLChVPe7j2el5HOMlgR89UId//l4BhZYG9C25VF5+zrx7lvSNTy5a+s6jhefRAxwA1pwxDzNnzHl+43PkvVv633zbSd6P6WkLQszoEBjfp7ubBQBljp1ZJwEnuZO2EplIdTvFzOmZ44C9FuA18GSmpHZeslmTgLjbpXVtcHd30Xgk2o19XAbC9f833koitbx0DzFWEGneFEZ6IyWxdeJE/ENk/KrQKWMmrVwCEHHVNiBuMhu7kyygE72OppLQQcGFatYqqXIkBT7HvgHgmefzaGmrw9/edJZYtvjk9w6GK5+flC8cC2geG4D3LViO7/1sc+VTD19w+w+v3laQctlXPPkcghwFWADCciCUmaYBdj0SnSmS1CaBWU7Cb1NpZsRifDYtQQqwsMCPbHCnJfyhrCSk5kLG6umAXIM6Y19DTWxwAoABt3sOx5oihRUtKK3txIAcRtoTJ16FAHGVWCQRi3p2WUPFssT8BXoyKaCDa2C7DRGEkBCUwZMUPOIolySKFYb5sxejWOn4yKknX3A78CQn5MxjAc1jA3AAePsVS1CZ3MOZd822iaG2sV9unGjcsReAl0Odx1AXWwH087DjkWyJng5zrQJoCvBJQoKsAjeQTAZY+5OsWYCMyZFWxsxOxNk//T+PZlQL7kRCmx0sKW+HyRKraI75kRa4tVS3wa5wm9jaNZs2569xjUTrEJLGCnNMS2RsHtQlKcyUse4VkeCMgTGBWR1lvOUNedDm88fefNnqbZt3HOAnLTg24AaOIcABgHkFPPS78bUnzb3kfY1d9KttrQ+2jY6HaM8J+NTqcBsH1Wj/RBKiKjOBldCHlDTPUhbTHwCwQW1ucrWURxaQrZlCUpuA6slSUwedxrD8OdnAMhw7i5LoA10ensRjkQTsendp+Yji4zUkk1Nbs8lI8UQBJVAZOA5NiUEuzTFuaQopCSgTEIKjtWUGbvzTKwejuhUfzPt71oLMPJaQPMYA91sBAHsODN15w9su8XJ+/pYfrX24c3JsBABBhav0owqPNX1US+9MUCMBUiYtIXJKQGXRE73ePrBqO6k+0ZEAeFrOIXtY0rRWvIrUIDLKYsqyYoXJatCbxThwSpfcA1LSHLE9SOrlBOTKKkIM95YxwTdlHwhBUmmBGOVVCIowYqiEHsKQqY4NTe1onb3moNf0+o97onInIUsO80YdehxTgOsxq6sVg0Oj377+6nNprnzw8796eH3naFFivKQKB4VxdRcNZrtPDskAtPVcM72JtpR2OHWaN6QmkDSATXZKgzuR7taDJtn7uhdUe2Rl8FRJY2sxbRWpAr02g1j7ytgWrieDngCm7jbR2zSjkUaaQxMLm3ZLkrpS4sTLkPiGamBTfeX6uqTq6VOqeBibCDAy7mFe06qD+dbLPxGWxbeDfMcRIO3Q48h9oIcYba1NePTRh26f29P0seXLZg/WBRIekyqJlMf9FqUV/kql6RPv6SZR2sNoPI0uQB1KoW97SiLb9MPdMZtrVw2DaZJeZX1zD0wgkPF6SA2J6Q87ECtdSwXQcSlmwQmvzTqXTJ8789qI9T9JUitF2IFWSTUsbvUCUhNGdfXwPA5GJcKIYaxIIbw5gxPllo899ui624N802HchcMbxw3gAHDllVdivFi6Y87s3vcvXDBnrK1BgLIS+idDTHACARK7umNgE8DT3Yep7cxxPy4Xlsn3KUaab6e/O1gkAHHhGfNTVEtvuH+ncy2ZQ06xzkrzkal9q0COxFLiRBnq9TL1tqj6l6RqwiSBXe5HJU4kYOeCgvP4E3NtQiR8L0RzwxgiOYl9/RQtbXPGOrp63h/x0h0XXnJkQVTTHccV4ADQP8LFyGTu+4v6Zr37LVfML73t4hH4ZBTlUL0SGVHg9qmEzyQ8pkDu9K88hImiFi/OPCz1+q86B5n6HFMVZKu2rUxvpCVpFYin+A2A5fBxdiapE5PULMh2MCFjwtjXlfgs3Yx8zikiThFxhogzcK6SIECAnB9B0kl8+xcMLwz2lerqZ7576YL892e2R0ccYzLdcdwBftMNb8eKxZSDrbz79ec3XLfq9Fkln6n61Iyqqmw5TyLnAb4X97DUH23+00rkEb3mZU3pSlInreL9aak+HXF9JFpoGk3IoBAaeJYUls7+JDlOIiWpiXt64t6VLKpSm625NVVUP3oCzgmiiClFMv6EkerQR6nERFGC5eaWXhxtu27Z7Pl3P7Qh4qesfOth3KQjG8dFyUyPCy99Myr9X+Z+++APDz7Z92dvuqD+O7/csK9AwzrU+RJ5P+6MC9UejgvFPHSZMFFDmil7rFKwUl7sbGmeUhzT5kX7uKzMHWSc81iO5Pq1vQNOzIqjWxpLi+XJNPZv2zriOomMo6eGWHC8u7GAybxWmeRvas7NOUUklFlQmQEJ6oIQewc4SuQsXH7uoutff1nvDyv4o/zGze8+xncve7wsAAeAoOMjuPVfvyPv2/rIXRcsXeGNjHu3bd3c39yQE8gHykTFOVCO1BOxo9fUI5PVksgyjR0SbOTQ32tJbuc0GcdO+b+n2JgOuDrkcBBu9/BJzuVk0Vv3Z0orjHO5tlNMuteXeovo/yFiSR5GFOWQgXOlPFU8ipzP4Rf6+ttmXDs0v/20F/YPlOWM9kvxco3jTlHscdP178S581eAlvq+d/7rTrnpz65aNdA3uwWNBYnWBoZCnoLZ7mG4ymGV4iStmiC1/qlFoqssJTXewyQLuWnrDCGZpzimUt0Ayl2VrmaV3h/SpiDEoTdZ56+6Bdr/QAzbhm4RaQ61qmNp0y4XFBMlDwOjAQaGGIphB/zmiwaa28/5SOcLaxZThscoy241crzGyybB9fjEDX8JABgcHL7D8zzvkUe7v7DusUc6S8VxjE5K9I9JlMI4IQFQuRAyTsSOaUtcrlp5P2GBHXGcdfqBIWUBgWspyXLJu+ZGUj050mT1KJGdtthkKpLE2pYhkV3vpV6ZAuYU/0P/bqeIqo4lIXF6G49Tu3WWPlHx954XIeLAwaEc+oeB1pYWLF94/sG+k1f9Nef8jvrFYwBITTl0vMbLDnA92tpaUCwWv3XxxeeR1mbv889ufKRTRC/i2b0cg8V6tNdLBHG4OBeqCqnuVy4N4KTDLQF5WK99x0KSQUuciTGFjbzm8mEMgzcLeGm9wt7HGEVip472bNpHaC+nWoidQTXiS1yHlpW5E2f36H8aSSASNFYu46YDHkdzQwnDxRAPPk3R096Oc84//+CSk1d/QgDfqm9oOPIbc5TjhAEcAAqFAirl4u0rVqyMulrJV0YPrm393+sOIuTK2RP4yoRYiYBSRFHiBKEgsfdTgsW9XnQIp21i08kjaZaRltSOw0fvhFrAzmgfmPH9aE2FVRsyuLOxaEA6+ZZ2nqaZKHZ8inWqLIuJrXQnvZXcjh1R5KESeqhENM6wUs6cUlTBBNpxwYUXDZ1++hkfjSLx3cbG6ZVYO17jhAIcAIJcATwK71yw6LTBZ0vP9513xrIvDux70mcEqM9RNOQJxkrAjkGBwTIFYRQBBfIUCKBcoVSq4un6IU+Jr9TTdCyFtoPnUE7IaSqb5DDBbtub0xYTs524MXq2kmnvr5MgkmwGVNMb51q1gqkld1xbkglVuIkK+B5H4HG81N+AsaKHhjpVC+fgUA4LF5wbnndm48dWn71yW0N93U/8IDhKdBz9OOEABwDm+eKh9VvXdne9LVh56rNFKoOvP7b+d6SQK9OZnQHO6JQ4b+V+fONnEnuGWlDxA3Cm08MSE6MOJ0oLPQAOCLWSqIFcS/ms6bghh5hDR0JVquJLXPNgEipl/S4TR2IflxT6qeblVT/DvUeA4d06OZkxAc+L4Hsh8kEZB0YjfPPHjSBliu52D7M6JVqb60THrLNkW8dJf/nx9y75TjSxp+IHy44WFsdkvCIADgAXnr0Qj2x4tjJvbtedo8XyQzIsvoWXB/6+0e/H6xaFOHXRJIrlIr78bwEqlKFEPASEwKNWm4v4odp6n/M9rRCmJHg6mtHeNU0PqoXgsbaKp0bqHzr6Zmw10ZWtEsqSxH/XOmUmHyeA6VBNBTzGEXgh/Nwk/u3BAu78eTOW93IsLZfR29ODQkvL37Z3zrkrKMzYPT70UqWxbfnxvReHMV5WM+Ghxpozl+L0ZfMmo/EDWwYqc79w9opFN591xhw+v3cM+WAUkyUJVXyDQwiJitROII08mSk9azl9nKRk2zyYMbJiVo73kLWWaxB2p7qVHZQFHVeiaxIaMgLIGjcstqaki6nW5yKMlCaxe4SiqX0+9wtzbz5t9clfeGHn+JZC08LJVxK4gVeQBLfHf/vzq/HIg2v5move8uny5D6PlfyPPPfsRO5Hj+ZQAQM4hwBHhXngsfXEVhSnil2pija0pbYNehLbuokr+V9GfGcOOzPe/HKSRHE7ycTWdyfFzZwsvgl6XySdIAhglMecH8H3OETk4eo1Aj/Z4GH5KWeXb3jnpV+e3dP56bvu/n94y9X/5QTfmezxigQ4AKy56I2QfACg4m+Qv5bmul63uqPnAVrxh1cP9e/3mJfHJG+E8HSAfTbFADK4p1XLxK4lAqSPlYlUPyJifZyGxa8d06IF/qRURBIPbr8C7LeRQ3GsXj4AwBhHqVJGJaygrr47CnKdj3/xo+8QXd3LHi+F+Jt9/SPo7mg+0Xek5ngFPbWpx8du+T8gNGiMwvFv5vHcWw8O7aS3/6wFXQ0BGn2BnCcR0Lj0oSWRlakrjjtnOpiLqP2sOHOaAj2FOoGJQdcVrawJkRQJIk5xIFUASBcMItY+MMumspYV5+6uk842XdAo/T1dLsP8ZmJXwFKx+CyO2GRMOBWutHOH0jh2mwkEQYScH6KxMIIfPZFD94w+ccmq2f+3vqXwF6hEY6T5xhMNiWmNV6wET48vfvy/on//tjFBGt5f7y3Yum7Do6ds3+9ftekP20E8Bp8RlSihA8Zj7qm9nqbUgw1ikgI3XHv4K0loTzXS4bXCEedK6VQFNxOakjhyYo5utTghAKJQgiIC907FmOi4p6Pu4k3jbO7Xdu8pji1dePhVXk/UeJU8Qndsfn43Olvq5/5i/eavPvHbLVc99dQmjI+NopCjUJ23pEpujvsHMaLizAMPaiJ4MJNBS1ZH2YwR7nDzI5HglJjJU1OCk6SUXFqC6+VDSfDEQuSuM/ULYwnueQKBJxD4HB4TYFQBnnNd2B6QUsBjFTQ2FNDZswwNrcvu8etP/6CIRnc2tsw+0Y/+sMerEuAA8PyLAwh8f+Ef/rhtebk48YGNm55b88TTmzE0NIr6Og/FMjBZUe06fKbaYeQ9IBcQ+AzwPJIUwDQ0u9rw5xYSIgaM0wE4M7UKawPc/j4dgJu6iqnmts51x2DXk4dRCc9TvZTygfrkggieJyAlQbEUYLLE4NEy/FwjmjuXYWbPwkfydXVfa2pf8HvJw63UP7bZ7i/XeNVQlPRY1NsOAFullFsBbGIIZy5ZtvQbW57bvPDFFzax/aMlPPYcQUNA0eCrfE/46oF7cf19Rl3l0naeAMlfx2OIDKlgG58xvTDYqvNkWHdqjSw7v329Ko6eqP5R2pQaTzgAYEwgF0TI50Lk/Aq27GrAWLEDZ608jc+Z27d1aIy8p2v2mr0AtpBXC0+rMV61ANcjfgBbtuwa3BJx/obutrpZvVed8YOf/upnTeuef6m+f5yjXMcQeAQNRMJnQOATeIxYdCTJgtGcPUk4sNskoqab29QYyTIrZ2Fkimi+Q5o4Lemdnn1O624k0l8IYmp8+x5Hfd0kGgtjaGj0QevnT5x15lWjHU3hNa3dXXvaetjOVzuwzT070RdwLEecAECB0ebHntx89p6D4l9/tWFL9OunX2ij4wONs1o4WhsI8oEqBKmkdVKbTwgJzlWPGjvOOqkbTlTV5zRF0Uoq1fXBE6riUBeLoqSpibbyOFaUtELMdJvEpB64+e0gEELxaS5s05+OGRfIBwJdbRHmdI+jZ2Yw1ti2aNCvP83bN5i/PqTL18+bVT9SCSFywWsHFq+dX2KNTc+/iMD36N6DQ/kLzrqhvG7Dt/7qlw898Y6DL20PWwrhSZA8PzQyjihK6ulJAFEkEUYSXEgIkQhZakyLxFIObbOiaxbU+5uC95n7JmZKlvpr6jGmAE7i6gMsNvkxyw8tJBBxgjBSHxG/irgAKqEE9Qqoy3mlvrnecyctnun3zjvzTvHSRf/g9d6Xk6yjBBkKLzf/RD+6Yz5ekwC3x1ObdsL3PfLjn6/D0nl1rL214euTxcnFW7a+cN6BA/vYwNAkAk8iiiKUyhLFskTEEQNcmu4MjAG+R+GxBNz6DirO7IKbMWIBPimAr49JFED1XesEuoNDWoHUkt1nEr4X27VZEpogBBBygtFxgtFxCd/30FAgiEQe7R0zeHvX7HVBULdF8vH39s0a4b3zz4MQkQzqF53oR3Rcx2se4OkxMDgC5gWtkxMDn1v/6weCx5/axef2NK7wPZyx/pm9eHHvMAJGQCiDBOBRxdcDnyLwCQJPOYkAOFJeW0oMuOPj1HdVoFL3kEf81tATR4ObMRjJrMEtESuJUm0PfIl8IJHzVRgrIQJSEISR6kU6Gdajf2wmcgF5qq2x+FvhzWIXXXxZpWdG+ycnS+WhQv0r1+t4PMarXsk83NHe1gwAQwBuBICNv1sHgKwRPHx9OTf/mpPGJ5ZE5SIef+p5eAgxXixBCo6GOgLfCxD4Pigl4EKCC2Ey/7UjKSlGDwBKinsxb+dCNRLjQqeEUdNDxlARq5IXoFL1VFkGgAmAUQ7ICgIvQuBTUC+PujyQb1qOhkIAP+dt3rK78wd1ee8+KeUjl1164Ym+5Sd0/LuT4LXGtj1DAPAGH2Hf/gOD4nO33iWWzG2b39be/tfbd+xGWxNDpTgI8DHkAorBkQjFcmI9YVRRmMCn8DwaS3CKfI6iLq+kdLkMjBU5yhUBxgjqcgz5nLLLa3u170kEvuLYABBxYGhUoH9YIOcD82a3YvGCNjTUTaK1vRcjI0Nf8PDSjt4lf0rrCu20rg7bAPyCsMPrCPxaHf8B8Bpj284DyOdzLdt37l2z4cmNaKqn4Zyepg/lAlwWMImB4RAPPvIk9vePwvMUxy7kGTzGEYUhwkiAUYKWRh/d7RItjREGRgg2bhMYHInQ0sDQ1RagtUkdGwmCXBCguZGhkFcdyhgTkKQZ3bNPw2gRCHyK+jy7v6V+4iuFXMmfMWsZCk09j/CoPOzlek70LXtFjn93FGW6o29uFwAMA7gXAA4c2A8AzwF8hkekGBmv4MnfbcaBwSI8j4IQCc6jcM25qz4zNj5+5ehYKeQCaG/xMWeGQE/nGA4MMgwjh/wQR08rRW9XgM4WoBJJhDznFwoNP96767efCXzPJwTwvQjEr8fChUtREQweo9T32H4AO7q7u0/0LXpVjP+Q4MdwPPHEehBCZuzdt795eKQoQw50NPuY3c3R2zmCA0MM9z9dj/5hjt5Wit4uH50tqkxGGOVJW/uMEUDuX3nmqhP9U14z4/8Dk0e6CZR1mXgAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTY6NTA6NTIrMDA6MDDQIqg9AAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE2OjUwOjUyKzAwOjAwoX8QgQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 144292000
{'hecke_orbit_code': 13511623549386864, 'n': 1, 'trace_an': 12}
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id: 144292001
{'hecke_orbit_code': 13511623549386864, 'n': 2, 'trace_an': 2}
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id: 144292002
{'hecke_orbit_code': 13511623549386864, 'n': 3, 'trace_an': 4}
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id: 144292003
{'hecke_orbit_code': 13511623549386864, 'n': 4, 'trace_an': -6}
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id: 144292004
{'hecke_orbit_code': 13511623549386864, 'n': 5, 'trace_an': 4}
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id: 144292005
{'hecke_orbit_code': 13511623549386864, 'n': 6, 'trace_an': 4}
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id: 144292006
{'hecke_orbit_code': 13511623549386864, 'n': 7, 'trace_an': 0}
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id: 144292007
{'hecke_orbit_code': 13511623549386864, 'n': 8, 'trace_an': -4}
-
id: 144292008
{'hecke_orbit_code': 13511623549386864, 'n': 9, 'trace_an': 0}
-
id: 144292009
{'hecke_orbit_code': 13511623549386864, 'n': 10, 'trace_an': -4}
-
id: 144292010
{'hecke_orbit_code': 13511623549386864, 'n': 11, 'trace_an': 0}
-
id: 144292011
{'hecke_orbit_code': 13511623549386864, 'n': 12, 'trace_an': 8}
-
id: 144292012
{'hecke_orbit_code': 13511623549386864, 'n': 13, 'trace_an': 0}
-
id: 144292013
{'hecke_orbit_code': 13511623549386864, 'n': 14, 'trace_an': 0}
-
id: 144292014
{'hecke_orbit_code': 13511623549386864, 'n': 15, 'trace_an': -24}
-
id: 144292015
{'hecke_orbit_code': 13511623549386864, 'n': 16, 'trace_an': 10}
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id: 144292016
{'hecke_orbit_code': 13511623549386864, 'n': 17, 'trace_an': -8}
-
id: 144292017
{'hecke_orbit_code': 13511623549386864, 'n': 18, 'trace_an': 0}
-
id: 144292018
{'hecke_orbit_code': 13511623549386864, 'n': 19, 'trace_an': 0}
-
id: 144292019
{'hecke_orbit_code': 13511623549386864, 'n': 20, 'trace_an': -20}
-
id: 144292020
{'hecke_orbit_code': 13511623549386864, 'n': 21, 'trace_an': 4}
-
id: 144292021
{'hecke_orbit_code': 13511623549386864, 'n': 22, 'trace_an': 14}
-
id: 144292022
{'hecke_orbit_code': 13511623549386864, 'n': 23, 'trace_an': 0}
-
id: 144292023
{'hecke_orbit_code': 13511623549386864, 'n': 24, 'trace_an': -8}
-
id: 144292024
{'hecke_orbit_code': 13511623549386864, 'n': 25, 'trace_an': 0}
-
id: 144292025
{'hecke_orbit_code': 13511623549386864, 'n': 26, 'trace_an': -20}
-
id: 144292026
{'hecke_orbit_code': 13511623549386864, 'n': 27, 'trace_an': 4}
-
id: 144292027
{'hecke_orbit_code': 13511623549386864, 'n': 28, 'trace_an': 0}
-
id: 144292028
{'hecke_orbit_code': 13511623549386864, 'n': 29, 'trace_an': -4}
-
id: 144292029
{'hecke_orbit_code': 13511623549386864, 'n': 30, 'trace_an': -28}
-
id: 144292030
{'hecke_orbit_code': 13511623549386864, 'n': 31, 'trace_an': -8}
-
id: 144292031
{'hecke_orbit_code': 13511623549386864, 'n': 32, 'trace_an': 12}
-
id: 144292032
{'hecke_orbit_code': 13511623549386864, 'n': 33, 'trace_an': 0}
-
id: 144292033
{'hecke_orbit_code': 13511623549386864, 'n': 34, 'trace_an': 8}
-
id: 144292034
{'hecke_orbit_code': 13511623549386864, 'n': 35, 'trace_an': -4}
-
id: 144292035
{'hecke_orbit_code': 13511623549386864, 'n': 36, 'trace_an': -16}
-
id: 144292036
{'hecke_orbit_code': 13511623549386864, 'n': 37, 'trace_an': -20}
-
id: 144292037
{'hecke_orbit_code': 13511623549386864, 'n': 38, 'trace_an': 16}
-
id: 144292038
{'hecke_orbit_code': 13511623549386864, 'n': 39, 'trace_an': 0}
-
id: 144292039
{'hecke_orbit_code': 13511623549386864, 'n': 40, 'trace_an': -8}
-
id: 144292040
{'hecke_orbit_code': 13511623549386864, 'n': 41, 'trace_an': 0}
-
id: 144292041
{'hecke_orbit_code': 13511623549386864, 'n': 42, 'trace_an': -12}
-
id: 144292042
{'hecke_orbit_code': 13511623549386864, 'n': 43, 'trace_an': 16}
-
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