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mf_newforms • Show schema
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{'Nk2': 16000, 'analytic_conductor': 31.940160808512154, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [4000, 2, [2751, 2501, 1377], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 1249, 'dim': 12, 'field_disc': 231014809600000000, 'field_disc_factorization': [[2, 20], [5, 8], [751, 2]], 'field_poly': [16, 0, 252, 0, 929, 0, 646, 0, 179, 0, 22, 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, [16, 0, 252, 0, 929, 0, 646, 0, 179, 0, 22, 0, 1]], [7, [1, 0, 4079, 0, 6835, 0, 2930, 0, 515, 0, 39, 0, 1]], [11, [-125, -375, -325, -50, 41, 13, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518135609364384, 'hecke_ring_generator_nbound': 11, '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, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4000.2.c.f', 'level': 4000, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '4000.2.a.k', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{1}q^{3}-\\beta _{11}q^{7}+(\\beta _{3}+\\beta _{4}+\\beta _{6}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4000.2.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1780977974817435786, 'trace_moments': [{'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0], [0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, -1, 0, 0, -2, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, -2, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 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0], [0, -5, 0, 0, 0, -24, 0, 5, 0, 8, 10, -7], [-27, 0, -5, 0, 0, 0, -1, 0, 5, 0, 0, 0], [0, 6, 0, 0, 0, -18, 0, -1, 0, 13, 2, -13], [20, 0, -17, -5, 8, 0, 4, 0, -2, 0, 0, 0], [0, 10, 0, 0, 0, 0, 0, 8, 0, -12, 1, -4], [-18, 0, -6, -3, 5, 0, 14, 0, 10, 0, 0, 0], [2, 0, 1, 1, 5, 0, -8, 0, -8, 0, 0, 0], [0, 10, 0, 0, 0, -14, 0, 5, 0, -2, 4, 2], [0, 1, 0, 0, 0, -12, 0, -13, 0, -13, 5, 17], [0, 0, -15, -7, 3, 0, 17, 0, 1, 0, 0, 0], [0, -9, 0, 0, 0, -6, 0, -2, 0, -12, -3, 0], [0, 0, 11, -8, 0, 0, 24, 0, 11, 0, 0, 0], [0, -1, 0, 0, 0, 37, 0, -1, 0, 17, 13, -3], [10, 0, 14, -4, 6, 0, -10, 0, 4, 0, 0, 0], [13, 0, 0, -19, -9, 0, 17, 0, -8, 0, 0, 0], [0, 4, 0, 0, 0, 4, 0, -15, 0, 10, -6, -4], [0, 12, 0, 0, 0, 6, 0, 7, 0, -9, 14, -9], [0, 12, 0, 0, 0, -6, 0, -8, 0, 12, -4, 0], [0, 23, 0, 0, 0, 26, 0, -6, 0, 4, 5, 4], [0, 2, 0, 0, 0, 4, 0, -1, 0, 14, 0, -6], [15, 0, 9, 4, 6, 0, -5, 0, -9, 0, 0, 0], [0, -16, 0, 0, 0, -8, 0, -3, 0, -11, -8, -1], [0, 11, 0, 0, 0, 31, 0, -1, 0, -4, 3, -1], [-20, 0, -2, 7, -3, 0, -20, 0, 8, 0, 0, 0], [-2, 0, 7, -17, -1, 0, -26, 0, -5, 0, 0, 0], [17, 0, 6, 3, -9, 0, -14, 0, -2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 0, -14, 0, 8, -6, 0], [0, 2, 0, 0, 0, 4, 0, -6, 0, 5, 2, 8], [26, 0, -5, -15, 5, 0, 18, 0, 5, 0, 0, 0], [0, -4, 0, 0, 0, 8, 0, 9, 0, -22, -14, 2], [0, 5, 0, 0, 0, 21, 0, 8, 0, 19, 3, 0], [-2, 0, -4, 3, 0, 0, -24, 0, 0, 0, 0, 0], [0, 10, 0, 0, 0, 14, 0, 4, 0, 4, -2, -2], [0, -12, 0, 0, 0, -2, 0, -1, 0, 4, -4, -3], [0, 1, 0, 0, 0, 4, 0, -2, 0, 8, -8, -2], [-14, 0, 5, -5, 5, 0, 4, 0, 5, 0, 0, 0], [17, 0, -13, 2, -2, 0, 28, 0, 3, 0, 0, 0], [-9, 0, 16, 16, 4, 0, -6, 0, -1, 0, 0, 0], [0, 4, 0, 0, 0, -14, 0, 7, 0, 2, 13, -2], [-22, 0, -12, 5, -14, 0, -22, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, -6, 0, 5, 0, -10, -16, 2], [-29, 0, 0, -9, -9, 0, -27, 0, 12, 0, 0, 0], [0, 2, 0, 0, 0, -22, 0, 14, 0, -30, -12, 8], [-20, 0, 19, -6, -8, 0, -16, 0, -6, 0, 0, 0], [0, -3, 0, 0, 0, -9, 0, 1, 0, 2, -9, 7], [0, 11, 0, 0, 0, -19, 0, -4, 0, -16, -1, 12], [-2, 0, -5, -5, -2, 0, 4, 0, -6, 0, 0, 0], [-11, 0, -9, -17, -9, 0, 9, 0, -7, 0, 0, 0], [-22, 0, -5, 3, 5, 0, -8, 0, -15, 0, 0, 0], [0, 20, 0, 0, 0, 14, 0, -13, 0, 2, 6, 10], [0, -6, 0, 0, 0, 16, 0, 9, 0, 5, 4, -1], [-4, 0, 1, -7, 8, 0, 0, 0, -6, 0, 0, 0], [0, 0, 0, 0, 0, -5, 0, -7, 0, 12, 14, 7], [10, 0, 1, -7, 11, 0, 8, 0, -5, 0, 0, 0], [-4, 0, 17, 18, 4, 0, -12, 0, 0, 0, 0, 0], [0, -15, 0, 0, 0, 2, 0, 4, 0, -10, -15, 2], [12, 0, -15, -3, 11, 0, 2, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, -26, 0, 3, 0, -2, 12, -2], [0, 0, 0, 0, 0, 6, 0, -13, 0, 45, 10, -9], [0, 0, 0, 0, 0, -19, 0, -2, 0, 9, -2, -10], [14, 0, 11, 4, 8, 0, -18, 0, -2, 0, 0, 0]], 'char_orbit_index': 3, 'field_poly': [16, 0, 252, 0, 929, 0, 646, 0, 179, 0, 22, 0, 1], 'hecke_orbit_code': 22518135609364384, 'hecke_ring_character_values': [[2751, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [2501, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [1377, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 46, 46, 92, 184, 92, 92, 92, 92, 184, 92], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0], [0, -6, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0], [15, 0, -1, -8, -6, 0, -9, 0, 1, 0, 0, 0], [0, 39, 0, 0, 0, -16, 0, -11, 0, 4, 2, 0], [-82, 0, 15, 61, 37, 0, 70, 0, -11, 0, 0, 0], [0, -261, 0, 0, 0, 116, 0, 96, 0, -58, -24, -4], [475, 0, -158, -459, -237, 0, -521, 0, 92, 0, 0, 0], [0, 1784, 0, 0, 0, -824, 0, -771, 0, 604, 222, 66], [-2883, 0, 1441, 3434, 1562, 0, 3809, 0, -705, 0, 0, 0], [0, -12393, 0, 0, 0, 5858, 0, 5955, 0, -5490, -1872, -736]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [36, 0, 274, 0, -189, 0, -165, 0, -33, 0, -2, 0], [20, 0, 119, 0, 631, 0, 353, 0, 66, 0, 4, 0], [560, 0, 1883, 0, 556, 0, -75, 0, -38, 0, -3, 0], [0, 784, 0, 2121, 0, 1818, 0, 631, 0, 94, 0, 5], [-324, 0, -2029, 0, -1818, 0, -631, 0, -94, 0, -5, 0], [0, -232, 0, -2029, 0, -1818, 0, -631, 0, -94, 0, -5], [-544, 0, -4511, 0, -3216, 0, -811, 0, -84, 0, -3, 0], [0, -978, 0, -5619, 0, -4146, 0, -1187, 0, -150, 0, -7], [0, 4044, 0, 17125, 0, 11222, 0, 2855, 0, 318, 0, 13], [0, 1846, 0, 12159, 0, 9180, 0, 2629, 0, 328, 0, 15]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '4000.2.c.f', 'level': 4000, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 16000, 'analytic_conductor': 31.940160808512154, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [4000, 2, [2751, 2501, 1377], [2, 2, 1]], 'conrey_index': 1249, 'cusp_dim': 560, 'dim': 96, 'eis_dim': 80, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 137472511904, 'hecke_orbit_dims': [8, 8, 8, 8, 8, 12, 12, 16, 16], 'label': '4000.2.c', 'level': 4000, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 640, 'mf_new_dim': 96, 'num_forms': 9, 'prim_orbit_index': 2, 'relative_dim': 96, 'sturm_bound': 1200, 'trace_bound': 21, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -408, 0, 0, 0, 0, 0, 0, 0, 376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -424, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 392, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 232, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 232, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -448, 0, 0, 0, 0, 0, 0, 0, -304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -640, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -664, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -568, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 752, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1181549
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4000.2.c.f', 'source_level': 4000, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '4000.2.a.k', 'target_level': 4000, 'twist_class_label': '4000.2.a.k', 'twist_class_level': 4000, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1181550
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4000.2.c.f', 'source_level': 4000, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '4000.2.a.l', 'target_level': 4000, 'twist_class_label': '4000.2.a.k', 'twist_class_level': 4000, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1181551
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4000.2.c.f', 'source_level': 4000, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 13, 'target_is_minimal': True, 'target_label': '4000.2.a.m', 'target_level': 4000, 'twist_class_label': '4000.2.a.k', 'twist_class_level': 4000, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1181552
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4000.2.c.f', 'source_level': 4000, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '4000.2.a.n', 'target_level': 4000, 'twist_class_label': '4000.2.a.k', 'twist_class_level': 4000, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1181553
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4000.2.c.f', 'source_level': 4000, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '4000.2.c.f', 'target_level': 4000, 'twist_class_label': '4000.2.a.k', 'twist_class_level': 4000, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1181554
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4000.2.c.f', 'source_level': 4000, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '4000.2.c.f', 'target_level': 4000, 'twist_class_label': '4000.2.a.k', 'twist_class_level': 4000, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1181555
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4000.2.c.f', 'source_level': 4000, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '4000.2.c.g', 'target_level': 4000, 'twist_class_label': '4000.2.a.k', 'twist_class_level': 4000, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1181556
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4000.2.c.f', 'source_level': 4000, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '4000.2.c.g', 'target_level': 4000, 'twist_class_label': '4000.2.a.k', 'twist_class_level': 4000, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1181557
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4000.2.c.f', 'source_level': 4000, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '8000.2.a.bu', 'target_level': 8000, 'twist_class_label': '4000.2.a.k', 'twist_class_level': 4000, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1181558
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4000.2.c.f', 'source_level': 4000, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '8000.2.a.bv', 'target_level': 8000, 'twist_class_label': '4000.2.a.k', 'twist_class_level': 4000, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1181559
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4000.2.c.f', 'source_level': 4000, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 49, 'target_is_minimal': False, 'target_label': '8000.2.a.bw', 'target_level': 8000, 'twist_class_label': '4000.2.a.k', 'twist_class_level': 4000, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1181560
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '4000.2.c.f', 'source_level': 4000, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 50, 'target_is_minimal': False, 'target_label': '8000.2.a.bx', 'target_level': 8000, 'twist_class_label': '4000.2.a.k', 'twist_class_level': 4000, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3467400
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 22518135609364384, 'p': 2}
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id: 3467401
{'charpoly_factorization': [[[16, 0, 252, 0, 929, 0, 646, 0, 179, 0, 22, 0, 1], 1]], 'hecke_orbit_code': 22518135609364384, 'p': 3}
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id: 3467402
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 22518135609364384, 'p': 5}
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id: 3467403
{'charpoly_factorization': [[[1, 0, 4079, 0, 6835, 0, 2930, 0, 515, 0, 39, 0, 1], 1]], 'hecke_orbit_code': 22518135609364384, 'p': 7}
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id: 3467404
{'charpoly_factorization': [[[-125, -375, -325, -50, 41, 13, 1], 2]], 'hecke_orbit_code': 22518135609364384, 'p': 11}
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id: 3467405
{'charpoly_factorization': [[[390625, 0, 1703125, 0, 653750, 0, 88225, 0, 4886, 0, 117, 0, 1], 1]], 'hecke_orbit_code': 22518135609364384, 'p': 13}
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id: 3467406
{'charpoly_factorization': [[[4000000, 0, 8150000, 0, 2466625, 0, 216900, 0, 8326, 0, 148, 0, 1], 1]], 'hecke_orbit_code': 22518135609364384, 'p': 17}
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id: 3467407
{'charpoly_factorization': [[[125, -1125, -300, 285, -16, -9, 1], 2]], 'hecke_orbit_code': 22518135609364384, 'p': 19}
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id: 3467408
{'charpoly_factorization': [[[4096, 0, 39936, 0, 41920, 0, 14160, 0, 1625, 0, 71, 0, 1], 1]], 'hecke_orbit_code': 22518135609364384, 'p': 23}
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id: 3467409
{'charpoly_factorization': [[[-2636, 310, 841, -64, -54, 2, 1], 2]], 'hecke_orbit_code': 22518135609364384, 'p': 29}
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id: 3467410
{'charpoly_factorization': [[[-29500, 9750, 2125, -700, -59, 12, 1], 2]], 'hecke_orbit_code': 22518135609364384, 'p': 31}
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id: 3467411
{'charpoly_factorization': [[[64000000, 0, 118400000, 0, 37016000, 0, 1785200, 0, 34601, 0, 303, 0, 1], 1]], 'hecke_orbit_code': 22518135609364384, 'p': 37}
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id: 3467412
{'charpoly_factorization': [[[10475, 7525, 695, -450, -75, 5, 1], 2]], 'hecke_orbit_code': 22518135609364384, 'p': 41}
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id: 3467413
{'charpoly_factorization': [[[588353536, 0, 145243072, 0, 14074009, 0, 679716, 0, 17134, 0, 212, 0, 1], 1]], 'hecke_orbit_code': 22518135609364384, 'p': 43}
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id: 3467414
{'charpoly_factorization': [[[6497401, 0, 15368089, 0, 9569570, 0, 742065, 0, 21250, 0, 249, 0, 1], 1]], 'hecke_orbit_code': 22518135609364384, 'p': 47}
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id: 3467415
{'charpoly_factorization': [[[97515625, 0, 105428125, 0, 31334750, 0, 1876825, 0, 39086, 0, 333, 0, 1], 1]], 'hecke_orbit_code': 22518135609364384, 'p': 53}
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id: 3467416
{'charpoly_factorization': [[[-59375, 76875, -24500, 2425, 80, -25, 1], 2]], 'hecke_orbit_code': 22518135609364384, 'p': 59}
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id: 3467417
{'charpoly_factorization': [[[-32220, 5220, 7205, -390, -181, 6, 1], 2]], 'hecke_orbit_code': 22518135609364384, 'p': 61}
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id: 3467418
{'charpoly_factorization': [[[28772496, 0, 54242028, 0, 13464769, 0, 1131214, 0, 32299, 0, 318, 0, 1], 1]], 'hecke_orbit_code': 22518135609364384, 'p': 67}
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id: 3467419
{'charpoly_factorization': [[[-372500, -228250, -45275, -2280, 274, 34, 1], 2]], 'hecke_orbit_code': 22518135609364384, 'p': 71}
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id: 3467420
{'charpoly_factorization': [[[6250000, 0, 148437500, 0, 157415625, 0, 6191250, 0, 85275, 0, 490, 0, 1], 1]], 'hecke_orbit_code': 22518135609364384, 'p': 73}
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id: 3467421
{'charpoly_factorization': [[[174500, -139500, -2275, 4100, -206, -16, 1], 2]], 'hecke_orbit_code': 22518135609364384, 'p': 79}
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id: 3467422
{'charpoly_factorization': [[[2123366400, 0, 480706560, 0, 40800256, 0, 1644544, 0, 32896, 0, 304, 0, 1], 1]], 'hecke_orbit_code': 22518135609364384, 'p': 83}
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id: 3467423
{'charpoly_factorization': [[[-142144, -768, 27344, 136, -361, -3, 1], 2]], 'hecke_orbit_code': 22518135609364384, 'p': 89}
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id: 3467424
{'charpoly_factorization': [[[31506250000, 0, 5359687500, 0, 294915625, 0, 7271250, 0, 87275, 0, 490, 0, 1], 1]], 'hecke_orbit_code': 22518135609364384, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 6, 'label': '4000.2.c.f', 'level': 4000, 'portrait': 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HHh5hhfGWItiNOApa5kOPYJPIEwmg3TmvmplOVuSHcoGCU+KwPB5inNUkdz/Jyi5gdsnoXtGyI2zY3YODdm89yY7ZsMF2xWXLHDp66aHDne5mtPBzy6P+HJYzGp6vHtN3d45ysMdTXH/mPTHDntcep8ytkM3AcXDTdctcAvvG+FHfNTnD4/zfmVGksdn+WOZKWX0uun9EeC/UcXOXCic8UTB86/6sjJsxcePXX+thtf/53RvV/8+AsNiW/o9veawZdXOkSRQSl+5Z7HDr/iZ3/7E/I9Nx14xf/xzlPewsomljttljoNljoBSx2PpQ4sd1KWOzFLqylnV+HQkmDD/Cr/4fuXeOmlDU6cm+X0+SanFz3OLRnOLiacXEg530uYnh3xymv6vPxyCGSdUIWcW65xZtHj7LJgMIYk0dQCTbOWMjOVoIFjZxO6fdi5yadZH2OMABHQH2ou2DxmadUDY6XIah/GCRgMy52IbRt9ekOFUAahx7RrPhdsGbE6EBw77ZFqj7m2pFUThD4kiWAwlpxdlpxZMpxbSQjDEfgJN17Z5xVXCTa06yyttDlxLuT0IpxbTDi3nHBqGQ4tGV5y5SK/9P0rbJ5uc/zsLGeX6iysBCx2JMurKSvdmJVuynJPs9iTnOjC6nKX3/w/xsn3vrFxXzD/ozpoXHGfRP9sik9Ya7/QUHnO299bBv/Qn/41r7jxxfzrf/2vf/mjn/jK//FHf/6li/cc71x48NRAvvLqPhdtTUm1hzEKYyx7YyQgAYEQBk8YAgmnl+o8eFByze5lLt8xolED35MEviIIPJp1ScOXDPo++47WuOPRgGPnx3STmH0nxmyaW+Ztr1zhmot7vOTyDkcXExYHgkY44vBpQ6fb5OqLJKujlD1HFa2GxzPH4JKthlGUMkoDPC9mpgV7T4QoL8WXCZ4Pw7HkpZcPGA4k11yc0h2mHDvdYtdmRbMRsTo2bJwesNLv8pdfgcePpDx5ZMTOrUtce1mXmdmIt97Y4ztfbdi9uUUaT3Pk1BSHTvqcOKs5eT7m5PmUQ+cFx1djXnTpAv/h+3tsmp7mxNlZzi01WFgNWOpIVjopnV7Maj9lpW9Y7gvODRQr3YQbLl/k/W9fkHWPC8+fPbZrOExeFrYvqtcbM1967IFP8fsf+IsXGjLr3v5eMviff+xvuPaKHeruB/f9uyPHzv78I08dU2eXI5ZGitMDwzU7z/GbP77AdbsbnFuaYanTYLlTY7njs9z1WOnBSidlpZuw3EtY7MCJFYFXH3HTVct816sjdm1sstpvc365zsJywGJHsNyxEmGlp+kONd2xYTBKmGvHXLBJA4LQN5w87yNkyM6Nil1bDVs3Dji3MuaJAy1efImhUV/h6YOztJoRUeQzN6MZjuCKC0Z89CvTXLYjYTw2zE9J4nRIqxbyzNERdb/JdZcmPHk44txSwLa5kF1b4ILNEUrFnFyEwDcIYdi5KWGmJekNQ/oDn+7AZ7mrWF6FpY5muZOy2Ek524GlUcoF2/p812sWuelyj5rf5sxim8WVGourHstdwUpHs9qLWemlrPYNS30421OcW0146WVn+fUfX+KSbU2WOm1WujV6ozZe7eI0bGz+5ZG55Jd8TqY33/KPXmjorLn9vQL4/v37qddq9VOnTl7w6OPPvPfIsVP/ad/BkwwjSX8Eq0PLKKd7CS+56Cz/+ceXufaiOudXZlhabbDSrbHc9Vnpeqx0odPTrPYSVnoJy13DuY7gdN+A6PPOmzu89aWai7bUiKIGK50aq/2ATk+x0hf0BoLR2BAlhjQFJQ2hD/XQMN02bJyN8fwRh85EPHUwRCdN3vyyCM9f5ZE9U1y4Bb7wYMLNV4ec7wypeYokjZmdgST28fyEpaUGr7y+yxfub7FrCzx8YIxPgze9VJOIIU8dSjlysoYnAzbNeMw0BfVQEAQCJSDREMWGUQS9gWG1r+kNNKsDzVLfMExTdm4f8NaXd3jnKyLQLZZWpzi/XLd6u+ux0oHVXkqnn7CagXt5AGe6ioVuyksuPcev//h5rtxZZ2FlmtVeg04/pNv3We0JwsZ2as1N/3bztsv/atv27cfHo9Hw0ksvfaGhVNz+3gD82NGDbNi4ITiw/+APHjhw4PceeuRxsbTcl6Oxpj/S9EaG3hBWh5LzQ8mZXsxLLz7Pr/3IEtdfXGNxdZql1SYr3ZDVXsBKz2O1J+j0DJ1+ymovodPXrPQN53uCMx3NzPSAN7ykx42XJ+zcpGjXfbq9GqEvAUWUSLQWaAODESA0M60RB04ZtIm4/eEm40Gdi7cF3HTNgFivctej01x3ic+Bs306K21efs2ALz0SsmnWsOeY4Sfe0WXP0ZBNs5I7HlXcdIViedDl8IlZrrs04q6nhiTjBjdeGbB7x4hh0ueLjyhIBYdOerQbHp6AwVCijSDVhjgBpMYLNJ2+odmK2bFlzCuuGPCGFyfMNWucW55iabXOStcem5WuoNOHTi+h00/o9FM6A8PyQHK2J1jsJbzssgV++UcWuHZXjYXVKVZ7Dbr9kO7Apzfw6A0UvaEgTmv6okuuMbt27X7/Rbsv+vDi4mJ0+WWXvdCQAv6eADxJYhmNh2976P5bL+4Pk19/8MFH/FEEo8gwHKUMRin9kaY/MvSGgs5QcH4oOd1JuPGK8/zKjyzw4t0Bq90pFlZadPo1VnsBq32PTk/RGUCvb+gOErr9lP5Q0xkYFvqChT7E6ZhrLxmyeTalPzC85eVjLtysSVKJJw1RDHc+UeP4+RpbZhKePlQD3eDy7YrrL9OEtQGPHBiwsNjkqgubtKdXuP9JnxsuqbE0WGVlpc3mzYYH9yi+77V9HtrjsX2jz2K/w8ryLNdfMeD+p1Nm69NcdXGf850ODz47Td1r8pLLDJdeMALZ54kjgo2zMecWYu56wmcUK6SEVBsu3BLxhpdH9PqKrTOa6y+BKGqw3Gmw3AlZ7ft0B4pOX9LtQ3eQ0u2n9AYp3YFmdWBYHkpOdQWd4ZibLl3gl354hZdcYi+OTq9OdxDSG/j0hh7dgaI/kgyGgt4gZTBMeNH1L4mNUT/17u/8joPNRv2zvu/rFxpbL3gmczwaEEfD7z9x5OHfXDi7f/bc+RVaDYlSNlDE/i+7WQtQCIOUBik9Htq/iZ/9Y4933LTMd792mV3bIs4utQmDOvUwoBH6NOsevbqkNfSZanr2ghmmbBprhmNDbxSyvFDj5AlDlGhOnU0IQwMIAmXwpGAwVAh8koHHiy4U7N5quGDbgHHa49aHFHsPzvDGF4dcf8UKH7nVEIgGF24b8OT9im3Tivn2gJqqE8U+53vQrHls3yR4fG/E9ZfWefV1i/zJ54YEfovXv8zghwO+/GDEFx5o8uyROhdtbXDhlpQNMxG75mOuvjBFKY2nDGBohCEbpkOi2Kc3CHj6gG9LFIYWiP0h9EeG/sB+994wpT80dIeG1SEsDBTnVgyNqQ4/+eYF/tFNY669qMmZxTadfo1eAW5Ff6gYjCTDkWA4tgQQJXD3vQ/57anZ39yw8cHlW171sv+91x/8SavZeEHx9YICPI76IPjh00fv/5Uje788Gw371MMAkzkhBgEoEHapEQKksJ00ShqUTAmk5MkDG3hsf5MDp8/zjlf0ecWVI6ZbbZY7DZrdGu1hQH/g2ZMzkgxHHoOxx2hsGEWaKDbEsSFJ7T1KAowGqQS+J6gFgumWYKYFm+c12zcNmJ/pcNsjcPdjPlJP8cYX+7zo8h73PhsTjdrc9CJBZzjk/FKTGy/VzE8PqHsho0Sx0I1RWvCiSz0arTGP7qvxquunePm1PR7dp8BM8eIrA37o25f50uMRdzzUZM/xGhdsUGyerTPTajDVgnoIvmdQErSBPUcEaSqIE0GUwDjGfsdxynCsGY01g5FmMNb0h9Adw0Jfcr4HYz3iddct87ZXdPje12uSpM3ZxSbdfo3eMKA/9OkPFb2hYjASDDJwD0ea4ThlHGmGY835I2c4/Ve3zvZH6f/9j976aq/bG/xxu/XCgfwFA3g8XkKK9IfOn7zrV84d+9JGYfo0GyFybFc1ASAkAoEQCiEEUpKBG5QyeMrgK03dFywO6nzsK9v58mNdbr56lfe9bpWrd/WZm26wtNqgNwwZDP0M2MreI8E4lsSJIEnsUm+y5UJJg+dBLYBGXTPbitm2cUBCnwOnYv7yrhqHTzSZDuvccKXHjdd0eXB/h9u/1uZll9S4YMuAj35FoERIuxWz2h+jDSgBG9oDur0AndR5283n+dgXGuw+V+OtLxsQxUvc9dQccVrjpVdu5K03dLlkR4cvPzrgyRMNnjgSsH1WMtsWNEJB4NuLUAoQwqANaG2Ik+xijQ3j2F7IowiGEfRGgpWxYLkHwhtx3WWrvO8Nq9x8Zcpcu85Kt0GnV6c3COmPfPrDciUYjCXDEQyyC2c0ShlGmtHYMI4gMYrT57r8ycfu2DgY8yvv+vZXmtPnlj+4ddPsP3yAL64alIeYPinM0tnP/IBOer/ePf/0vEePZq2GEEnG2x5CWJQLIRFCIIRESQ8pU5QS2fKs8ZUh9Ax1T7AyUix1Zvj4nU0eeLrPTdeu8r7Xr3Ld7g5zaZ0kCRmMavSHPsOxRxQr4kSSpJJUC7QRNgsqDGGgadQSwiAi8MecWhrzuYclB08GHDk5g9Ihu7cEXLFL8eLLu6hwgacOtdg23eCqi2DzhhWWu22u3iZJtOG2h0LGA8l0M+FNLx3x2btijp9tcdnFPmdWRzxz2GfHphmu3bXAvU/2uP8ZwTgKuHzXLJfvCLl8e49DZ5Y5eAoe2tvgwOEmDU8QepJmaKj5IKUlBmPsxZqkVjpEqaA/FnRHgm4MkU7QZsRLLunyvjd0ufnqlC2zIaPRFEudGr1+SH8UMBh69EeKwUgxHAuGI8lwbPtGR+PUevxjC+5hpBlF1tGJUsXCmS5/8Bdf3fj4wYVfn5tuJD//X27/SOg9w7/7l//yHy7A03QEonbzkeCRD4rl351tqHPzvgho1GsIGUMmQYQgY20sW0uBUgJPqexR46kU3xMEnibwDaFvaAQp0zVBb+yz0p3hE3e3+coTIzbNDHjvazpcvmPEaNjnql2GHZsV49gnTcs0v8Agpcb3Uo6dMxw5K1gdaj5zb4NTizOYyGemptg657Fzs8dF2+Cq3V20XOQDn22yvDzFyy73uGp3hy8/IRCJz8YZSbORMIgDpJFgJMoL6IwE55YFV5oGr3lxj/serbN1PuBlV83yT799kQ9/ocdD+5r0Rz5Lqy12ba1z2ZYBL720x7te1eP08jKfuTdkaRBy7IzPqVMBvhJIaVc9bQyphlgb0kQzMxdzzZUDxuOYy3eMefdrxmycUsy2QuK4xpmFGoNhwGBsV7lhAWxpwT0WjMbYlWCcMoo04yi1Eig2GchhGAsGkWCYepw81eWpj983/7qXTP/2G2+eiz/y+YU//+BHf4sf+r5/9Q8P4O//j3/Gprma+PDH/vuu1aV9l164YQ9vebkPppWxdKmxC60trVSQUqKkxFMCT2WPnsD3UgJPEPiamm+ox4ZGZJiqpczUBYNI0ouaHDnZ5Nf+fBZ0gkgSXnzNgF2bI5IEtNEYY5M4UgikEnh+wL7jAXsO1mjWPFqBZL4h2DAn2TjrsXWDYueWlMt2rpKKJX7nk22OHZ/mZZf6XH5hyjDp8bWnQqbrPnNThulWRKNupZDWks5Isdw3LHVSOv06r7xqlYf3DNh7XDHdrvHSK6f5kbct8bufgkcPNukPDas9j3PLbTbPN9g4M2Ln3Ih//Z4B7UaHJ4/AvhMS3zcoZRBCk0fnxkCSwIWbU266OiGNfeIkxJgGo8jn7GLAcGxXtFGkCvk2jASjsWAUWdYeRzYrOx5rxpFmFOvsPVMw9zAWDGNBLxKsxIJ+okl7Axgdmt7Q2P5H/+UnL0le97rXffy7Xvs7prXtX/zDAfhP/PJfsn3LBvUDP/en7/zApxc+8OBjJ3j9dVPs2tLl8h19pLQnRQiNFCFSGpT0UcqgpEIpleltie9ZzRn4irEvGUeaMEoZx4Z6rBnHmigytBMYx5pxAlEiGMWScRoSpzX2HmzyxF5IjcFC22pjX0KgbM1HK4SrtkC7DlNNyUxLMTftsXEWLtg8ZsuGVWKzzO98copDh6e4/iLFRdslu7ev8NVnEs4tTfHiXZKZtqYWDAlliFGCJJUIY0jSiJV+jXNLPtdfXudFl/a499Eam2YEjVqL6y/V/OQ7l/jtT2meOdVita9Z7SkWVjzmp5vMtOvMtKdoN2I2NGN2Xh8R+gm+l6BUihQ2mDDYiyqOFecXPOJEESeKKFaM4+wxkoxjyTiSjCLJOBI2QI0E48gwjuxxHUcpUZRp+ti+P4pgFAtGMQwKcEv6UYIeDXjR7hV+8ru63Hjl4w2t/I+sHr9dC2/XJ1eO/346c8E/+9YH+L/9vz/GdCtQx06cfPeho2f/5GtPnK0lbOALD9bwPMkv/cgqV+zooWSKVNqCW/kope2jNPjK4HsK3zP4kSTwhT0JvmAcKKLYAj2ODVGSWlckce4pJKkhTTWpxuptTQHuXAp5EnwfQk9QCwWNUNJsKKYakpkpwcbZhJ2bB7Saq3zyvoi7nppldbHNNRcodm7xuWTHiFSscttDDZq+x4YZRasx4qlD8Oxhj6t3GAZjxbWXxFyz23D2TMrCSsBw1ODNN/S458khB04pmnVJGLS5+iLNL/3AEnc+M+Szd86z1DXs3Jiy0vGYbiummj6thk+zbqiFmjDQhF6Kp6zUkllrpTHYhJUWJFqSpIIkEcSJJEoEcSwZx9Z5iWJBFBuiCMZxShRrIoc4xrF7t+AeZuDuxpJODINxjIz7XH/hCr/4o8u8+aWa/nCaXv9oLU0afyaC2j/Rcv6vzxz4ULrlkn/6rQ3whqdlt9P57hPHTv3+/n3Ha9N1j27iEUnJ396viMaKd9/S5T2v6zPTTulJjSfTTGdbPex7Hn7sEXqKkW+ZZuxLokAQxcKenFgRJxDF0joISWn7JakmTa27kJrMKcncktydUdLKnsAThIGkFkqadUG7YZhuaTbNjtkw0yMxq3z8HsmHvzDHxlqNay4QXLDF58Ktmp1bVvjk1wzLyzUu36yYaUOrEXPuqOT8SkiwC8axYMOUZHoaDhwxrHQ1ZxdrXHJhjde+uMfn7q4x14IwCFBymqt3C370refx5Xn+9t4Znj1VY1M3ZuN0wlRT0aorGnVJPfQIAwh98DzrMEkBUjggx17YqYY0FSQpGdAhTg1RAnGcWlKINVH+GOvMdsxdmcyCTKwk6ceCbiLpxZpoFDEVdvmuNy/xntf0ef310O23GI5D4jigPzhSI6j/kVereQj/L7A8860J8N//0KdIU/0DTz94+D8fPnSiPd9QDBODFIKu8BmLFrc95PG1Z2qcWVniJ941YKadMA5rdAc1PBXgez6+5xNEKZHvEURWmkSxTaVbxhGWiTJWShKIU0hT6yRobQMurU3ew5mB2wLcBq4C37MAqYXQqGla9YTpVsKG6SHzM6vctzfiz26vs+/INBdO+ezeDNs3B2zfBJdd0GWQdHlwT5u68tkwo5huwXRrzMxUQhB4CGEvruE4YLkbszowdPoJ51cCLtjc4uWXn+f2hwbsO9WmEcb4KkCIKXZvU/zj1y/yksvO82e3t3jw6WmW+h4b2wnTjYRGTVKvKUJfEPoS37exilJk9qFFucH2sGpNAfQk1dnqllmLiSZJLbiTGKLElPcsoTNKLKkMYkE3EfQSGI0SdDJkrt7l/d+5zP/5PX0aYUCnV2cchYyjgHHsE8U+o86Jdtj0fqc9f3Vw6JlPfnj3Ve/81gP4ykoHpdQP//4HP/Erx0+cnKsFApVaVlECvAzkQylZHXv857/y2XNohbe9qs9rruuxaT6i160zHIcEfkIY+IwjjzCw9l4O8DiWRIldduMk87RTMuuPjLkl2lCC2yYpM+YGT9mESeAbaoGmXkto1RJm2mO2zHc51xnwe5/xue3hWZZXmly8QXDBRsG2jQHbNwp2bR3hBat87C6PwyeaXLpJMtOSTDVTpBxzasEQehIpwBhBFHvs3NjlIVK6A8VK13Buuc6l22u86zUd/vrLAUfPhfhejBA+2jSJE8mLd62w83u63PbogI/eNssjR5tsmxHMN1OatZRaIAh9QeDbWMVT2MBZiqImw2AvMm2wTktqAZ+DPEmtpLNghyi1tS5RnjxKBMMEeomkl8Aw0qSDMdvne7z6+hXe/qoBb7lB44kGK6s1xnFIFFlgj2OPKFFEiaK/eGZO1Xf/+qXXvksNh90/rtf/19SU/y8B+PLyKr7v/dPP33bXrzz+5DMbQ89Yqy/JAC7ta18K+lLSkzU6kcfHvlrjzid7XH95l+95/YC3vqzD3HTIcBQyHAeEvk+U+ESxVwRKSaKIU0mSSOJUkCSSNBWkWpRaWwsKVWJyt8Ymi1SWLAp8TRik1MOEVn3M/HSfYTzky08Z/vKrUzz49DQzgc/V2wxbZiWb5gK2bpBs3xRx0bYVnjw65DP3bGBKeWyYErSbgnYjpjNI+cLXarQC6w5pA8Oxx9tuGvP5B2xNTKevOb/isX1ji3e8os+De3vsORDQDBOUFBbkusEoslr/H7+2w6VbzvOxO7vc/+w0x1fqbG4LpmqGRqCpeZrAB08JlCRLkNnvnZcf6UyqaV2ucEkGdEsQEKeCOM2AnQpGiWCQCPopNuaJIpr1Ae944zLf/fouL740ZdOMz3DUpNsPiOKAcVSesyi2wa4lKMHJY3s3BvX7fuWiy27Ww0HnQ/XGN3+s3DcV4MvLqwxHfZQS3//lr97zG5+/7ctzndVVwkA57G1Ty1KAJyCQEEroSZ+BrzjZDTn9QIMHnurz19f0ePdrh7zpphGz0wHROGScWDaIE484A3qSKpI0S9ikJcC1yZhblzVlIrMhlbR1HJ6nCfyUMIiphxGt+pCUIV96VPLnX5nm6SNTiDjkwhnDlmnD/LRiw2zA5nnJ1g0xF2zucmKhxx98tkkyrrN9u2C65dFuQrsRI/yI7rDJdMsghMAYiBPJbKhIdEIvDugNUla6ilMLda68qMWPfccqv/4XIccWmngqzi4MjySpMYokm+dCXnxxl2su6vPMsVP85Vfr3P7INKc7dZqhohVA0zcEnsFX4El7zIWoVtdpwGh70aVakBpIUmH981QQpTZJNEwFwxSGiSFJEnQ8Zq425M2vW+W9r+tx89UxU3WfKG6y0gkZxwFx4hHFfhYbZatuosoVN5GMBx2eeuzOjaOx+o3dl92QnD17+k/b7SaNbyLQv6kAHwyG1OvNt3/taw//7hdv/3J7OOhSr3kkiSmWydzflsIeeC+1xUyB0tRTwUAFDBKP8+Maf/tAk7ueHvDSO/r8i+/sccUFXTZOK9oNjygOiBKfJClBnuYA1xJtJMZYSWCKgDJL9Stjg1gvIQwSfBXRHcYsdGN+65M1jpyf4dE90xgdMFcXbJw3zE8J5tqKuWmfTXOSzXMJ2zYMmJte4bbHNI88O8012wUzLUmrIWk3NM16hPDHhKGHp+zfNwbSVDIcewxHMYkW9IaaXt+w3PU5u9Tmxsv6vPzKVT52R436ssKTsQWk8UjSgCi2PZ7z0zVesrvPSy7u89CrT3NsQfJnt09zfrXByaWQQEmaviDIZZi0JFMQeS5VsEyeGEGiIdaCcQqjBCJtIE0giZFqzNaZIdfstOfjhitS2nWPJGnS6VlgJxmw7QrrZbKxBHecyuzRSsruoM8jD905Z4T3u5dfcd3KeDz8zDcTk980gB86eJBt2zarD//JX1y8Z9/+9upqh3rgEacGJUCmlr3j1EoVJQ1eCl4q8JUhSAy1VNBQgqESDLyQYeqzFNW5/ZEp7nt2SDMc80/e0mH7XMKFW4fceFUPT9gWMSGsXLFZSVsrbYzD3BiENChhPXNDAjLhmSOSh/d6fO7BFs8cbxElDVqeYkPdMNs0zDSM9cHbHrNTHnPTgs2zCVs3DNmyYYW7nh7zgc9tZMu0x4Y2tJuKdlPQaiTUwzH37VeMIg+/aUFljCBKJDVPcd2lQx54atoWPg1TVrs+i6sh5xZn+LG3nuPk4hIPPL4BXwIiRkMBoHEk6Q89Zlo1pttNXn7pgFdfM+B7bllg7wnN5x+s8eDeOvsPN0mEx3isGMQKVZQ+uIFnlhMwmkQbjNb4ImUqiKgR8/Lr++zaMmL7fMz73jSmHkiadZ8oatDpBdlK6mWEowqv3d7l2nthU9q8wGDU4enH72mvLJ25+JY3vEcdPnQwvWj3xX9/AL5v77NMTU0Fjz/2yA/WQvOfh4NV6jUfrU1WT0JW3iqQ0jK2SrASITV4CfhS4GtDmBpqStBIBWMNo9RnmPoM0hq9XspvfGwGk8Rs2jDiygtGzE0lvPu1Qy7YGBHHItPbEhzmLj+DRkjBJ+6s8+ShJsLzOHa6walzDWp1xVQomG4a2jVNuwatumCqoWi3FDMtj7lpmJ9O2DQ3YtvGLqlZ5RP3tBn2m1yy3dBuKFoNSauuadUSfD/itgdqjAcSf6PtFs0lSrOuePNLh9z9mKY/lvSHKd2Bx2rP4+xSgyt2tXj3zV0efabBseUWSmogzvSyT5wqxrFNzPRHHp1+QKveoFkfc8X2ES+7bMSJ8x2OnlnF81OeOOzx119tIJQtXGNy/qDRgAZjiKOUnZsS3vvaIfPtlMt2GjbNQZr4jKMWSeKz0vVJYkWcelkcZAGdA9zGRDKr9XENgNIIiBORyUmPk2dWqLWT//zII48MLtq968P79u2JLrvsir8fAD92/ARnzy1cevbMqd974vFHZOhL21KVmiwraUikycANSZaCT7TAS6xOjFODn1oNGHqGWmpIUkGkDVEqGGvJOJVE2ifWsNBv89UnNYaUTz9oRzZgdHbPs3iZRSbyikSJVIok9pDaw/ckrRB2bTA0fU0j1DRCaISCZl3Sqls5NNWSzLRhbiphw8yYrRt6pKzwW39T496nNrJ7DmYaGXs3JK16QqMe0WwMqdcbhEqiZKbBsXIgjn1GQ8FwnNIbK9u1NNS2Za4ZcPLcFK+8csxPvuccv/nXHsdXQ4TQGBOjU0Oc+ESxZDS2ZaytoUezZut6GmGDWhjTqke8+JKIwI+54ZKE971ugKeSLAmkbb29K8ozSae1RAhJ6CsgYDT2WFrxbN1Omsc82T2RZQyUFa7l4M6BnSeWkixoLV/b852ktvXuwQcflgj1e0kyumc0Gj39zcDm/2OA3/qFT9Nu+vWDhw69c9/+A0IIa1GVrF2CWymbgJHKoFJQqdWGSQpeansfkzyiT7OoPo/stShfa0GkJYmRpNoj1iFpZnu5tyJLmdmSngRfQa1uqHmGmkoJfQg9qAWGeiioB5JGXdKoeRbgTcF0SzPbTpibHrNxts/WjUt84HOaj96+iR3TivmWpt1UtBqKZgMa9ZRWPebMkubQmZBaYC9oyCv9BKPIY9dmzeb5Ed1RwHBkMhaXrPY8WvUarcY073vdeQ6fOcsffWYbnvQwaFKdkmhDnHiMI8UwskVRg5qkMfKohz71MKXTszFG4Kc2YeaneNI2SkiZZnU/xmkssSWcFuSCjs6qLLWNa9JUorUk0WW8YwGaB/j5c+cxY+kS3DbJFKeCNM3zFRboQgqefeYpMRgM37lt285Dn/rUp4bveMc7XliAb98kg2733M+M+ud+RhLJMJBoDULKAuBSGlJpSHVWy50K0kyeJBq87EumefJBm+y1Kd4rn5eVctbLFUWg5GpuIMvkmSyg1XiSrKYFfCXwPWN9Y09QCyW1QFIPFfWaolWXtBqGqWbKdCthtj1mfmbABZuWeHD/mI/duZWZWsimlqbdEBbcdUmzpmnWElqNMQ/ugyf2Nrh4g8l0b5k2H44VN1xmuOSCIQ89Pc1gbNvz+kMvA7lPo1anXpvmu161zBP7z/PAns1gFFqnthw2MSSxKepJhmOPxshQrylqgSYMfMIgJfQ0npfiezY7rJTOithsaTDCICj1XBmc2xJinTtSOrdfHSs2B7a2IC5fUwA7v1sCyx6du3uul1cGUh89/e+GcRDUao1fBqIXDOCj4UBG4+Ev3nnHX/zv3dWzQaPmZY0DIFNBIkRxIC3ALbBVllRIlcHT2XNtG2h1SvE8zTNuJs+8GXSWicuTFcYYnMx7ZcXNU9V5QkfJLGOpcIq2bPYvDBS1UFEPBY26oFU3tBspU82E6daYuakhWzes8MC+Ib/4J5s4fnKai+Y10w1o1xXNuqJZg2YtpV6LCfwRnZEtFvOVjT/yW6pzLRrQrscMEs0gq7MejFJ6A0mnrmj0Qmphiws3x/zSD3b49x+RfG3PJgwKbTRpqknShCjRRLFiFCmGoaQ+VtQCSRgYwkARehrft36/p0xW55OtqiKPk0y1QTdL7ZuMRExWy5JmgE91+WgBKrNHUQI8e546UiRPvtkLoCSyJNXo7KI9cvREIL3aT/2zH/l+fzAY/NtGo/F3Tuf/nQHe7/VIkuSXH3v0vn914uTJmudJ2ysp7JfLQZVogZKCROVANmhpwZ1m4Nb5cy3Q2hRpZF14tGC0sV3kWQmoe2cC4HnprcjBLfKaciuJvKwVzfckYWAHANVCO5KhHhqaNU2rkdJuxEy1ImbbQ7ZuWOWBvQP+/Yfn2Xd8lp2z1mFp1SXNhrTsXTc0aimNWkycRvyPO1pIpfCldZIKBjf5Eu7zj9+4whcfiehFIYMM4P2hotdXdEKPWhAS+m0u25Hwn35oiV/4sOD+pzehjSTVNq0eJ7bQbBxpxjVb7hqGgpovCAOb2Qw8U2RsPaWtTJSlbVsAvEx5AhmJYHMJ1m3JAvkcwNnUAV0k18jYnWLFzVfnEuCmfExLHNhHjZSKkydO1L56593/2xvf8FrR7XZ/tt3+u2U6/84AXzx/CGP0y08ceawuTISnpNV00lqCqRCkEpQmexSkUpAW6eEc3PnyZN/TRa1E2X5lgS5sHUUO6vzAT3yusnczqzORlMVUWR25BbjE96Wt3wgEtdDOPGmEKc26BXe7GTHdHrJhusODewf84odmeebYPNtnBHNNR5rUPJo1W79SryXUwwjfH3NqaQZfCZTUmS1XBplpKkkSxZYZQ5LEdONa1imjGY5SeiNJfaCoBT6BX8P3prh8e8J/+qcL/NwH4YFnN5JqaQGeGuIkzZhcMw41tUgyClQhwXwffC9zrpS0uQCZxUkCRPa4DsatXCFLCiGK5JDOkkN5tjhNnfd1KTlTB9hal+e7wIGuAl0bQzQYc9e9D9e379j5cvn/YMeJvxPAn3r0NuI4bhzZ84VAsUK9ln3oFGQG6FRlXyy1QNc6f88CXWtD6lF8ySqwcxliCqCbXI7kz5/js0lRFlFJCVKKAtxKyqxRIpcnUPMhDDT1mqEeWv3cqMe0GxHTzSHzMx0eOTDiF/54hqeObWDrtGJDUzNVF7RqkkZN0agL6jV7cdhUf8QDewT9UUBNkV1kVoPnTQipFsSJR7OmuPGqHg8+02YQW5kyHKcMhopeqAgDReAHmX6e5oodml/9kfP89B/C/Xs2EmtJrHXWLF32YI4DSRhoy95+WUfvqfxOJlNKGZc3m6wH8jwpZHKAZ4BPC+eFdVdenUkQ7ZCYBfH6QNc522s4eWaFD/3ZZ4Lv/55va/zVJz4/eO93ftv/eoAvnDvG9Oz26Scf/uQfjKPxq5RMCHxlr0ApqlestJpbO8uWZezyKtdKrM/aDqB1AeyyKZhMexcnQ9hMqZAZuLMiI1UAHFRWMeh7EPjYTqAgK7AKU+qZvGjVx0y1hsy0ujx+cMwv/PEMTxzdyOZpjw0NzVQdmjVBs65o1BWNgr1TamFCqzHiricCVjs1ZmbKNHkOGJ1p0zhVbJxTvO5Ffe56WNsumkg7IJfUfEnN9/C9AM+rI6Xmih2GX/mR8/z0Hxru37eRWHvEWQWgLXu1TB7GsqguDDyJ52VFWFKgvPzYUHy+/CLMpYrIq9IoE0KTd+08au08FitvFdxuZWfqvC7BnRV/aUMUa4bD4aue3Xv4gz/8T9794wcPHV29ePeF/2sBPuydZjxc+OneypHvHg8X8T0fKbUFc/4B5cQSpUWms/OrvLzic/mRFjKEgr0rgeQkc2dIzzNyhfaWeQVdqbvzikFPYeszPIPv28biWqCpBSn1WkKjFtOsjWk1RsxOdXh0/5if+cN5Hj+8iY3TPhsbKVMNk4E7Y++apB5a9q+FCY0wItFjelGIUBI/Z/BCg4uMvTK/OPZpBiNbLhDVmMlBPkoZBJbBw0Damngv34DWcPWFhl//8XP8m9/X3L93E7H2GKeCKNUZiwtqsSb0DYFve1e9LO7wlC0RVlJmxyfrys8fncKs4sJ0Y50JcBck5BCTC+4irjLlc/e9vFa/YPWMII0RnD63xNN7jnz3Xfc9diiK4p/7X8rgo95Rwub2nc88+IfX6OgE9VCgjUZqsr7JMtBQ2pRBiDZZR0le1GMcgIviQKXaPWDCYYoyK2ncNTNnbTeozJfbrENHZcGU52WdQVkRUl49WPPTTDfH1GtjZtoDppo9HtiT8LMfmOexw5vYMOWxoZ4yVTO0MnDXa9ZOzMFdD1NqQUK7GbHnqOHOR5sEUuIrnQVxpUeRL99xqki0x2teHHPxRX0OHa+zoUHZ5zhOGYwyFvYUnudnlZjWu75qJ/zqjy7yc3+oueeZDYziuk2GJYZGVsMd+liQe/nqpYveVqnSYoVTUjgAFw7IWaNXSpCbKsCLCsVy5V1vZS7ZnSqDOzInLX5f8eyBM4S3P3zNL/3cj+58dv/JY1deuv2bD/ClpbNEZubC5WMP/Nc0Xn67pEcY+CSpsQFkwdzWJy0Cj8JeMug0lyNizZKW+8Om8LQnXJI1bknG3JPgFgapclswq3lRGWt7hsDT+L4m9DVhkFALEmphRKM2ZnZqwEpvwN1Pw6/++WaePDjPfAbu6bqhVRc0a6Lwyq3zoi17Bxbg9XBMlKaMhjVqyl5kUohKJV+eSLGBpme1vDdmHBmGsXAArgmClMD38H1ppwpIvwA4Aq7dJfjVH1/hN/4i4f69c5zutBk1JdOpoZUYatnEgdA3mfefOymmYO9cquQALz5v9qFdnBcKMTsp+apagrsqKW01pwP2CtBz67dczVMH9DpL6nUGQ86cW3n77V+5P33jq1/0v508efro9u1bv7kAH3aOoPzGy5bO73nn6uIBK020Rsq1vqguLD/nPZPp7UyKaJ0v1yY7AMI5MFXNV96qqjA/CXbcQ87eZTd+ORzIlsX6ns7GTKQFuMMgA/dsn4WVIb/yPxp85msbWOzPsGFKsqGWgbtmdXcjCyzroaQRmozBrfauhREQ8ZXHA1bigLmQSj02orpCpaltfmiHHq+9fsAD+yJ6cchU0bGuCca2Vj3wLMA9ZRuyhbQJGgxcvkPym/+iy+cfGPLLH9rEycUZhtMe04GglWgaCYSxHb0cKDvQyM8DTSmKIDh/dAN198IUougVKc4PTEhIF9hO/KQd8Lt5jEmQ5wm8MgciQCgee+oAF+/a+M7Z6eb/6PWGR7+pDJ5EPZTfvGTx1Ff/Zdx9lDDEdsDrjL2NQKVZSjfPfOUMnmXAckAXWrsAdS5BTGlDTbK2K0uyA50zS55uzl0AlQNcGVuO6+W9nba/M/BTAj+hFsSEQUyrPsTzBtz1RMoHv9Dmc/duJNJtNrYF8zUrS6wFmPvkKruLjLld9o7xvDH3PTvNIPLY0sg/zySD56ubLSWt+YqXXzEk0Rbgw1jYrvW8c32sbXDoZbNhMnsvH25nEMxPC777lj6t8DQf+sKQu5+d42xcZ1CTtBND0zMW5F4WhyiTxSVZM4rMj6Eoa8clSEoWn9xRsJAq+YgKJrW52z1U1p7njJ6uE5ymDgGmpkzyGeFx213PcuUVl/3L93zHKx9b7Q4OTLe//ki4rwtwPd7LcPnjeMHMVhntfXXdP40nG5lmsidJaYGWklQblCmZW2tXkpTsXZEjudYmSyZUgO1YD659VQwHcuYVZskUKfPRbjqr+c7ArWwtRujHBEFMzY9oNEYEwYA/v93j1/50I4cWZvHDGptbgtkwpR0amiE0sw77emiznbUsIWTrV9JsJbDyZLGb0o8CAqUIZNncgfNV8gs7r92IEp+6P2Lz9JDVQYthLLJxazZW8P00s/lUZneqbNSGG7jayse339znhisX+NU/G/HR2zawnDQZhD5NX9L2bA1O6EGgKJohvDzpU8yhEUUWOE8AuaRSFSsu0KmswNpUpWapzSfua8wGJ3ttcsNCsedEl0/ftefVp7vx1nOLnQMPP3OEG67a9f8M4MZoGnNvvjDqP/qBdPgoYWiQSVzUXiujC6B7WlbSucZUJYrRZX1DHjwWBwHhSBIxIU1ycJuSTbLsm3QBLg1K2tETJXOnGcgTAs9KkjAYE/pDjp5L+KPPN/nUPXMcPjdDu+EzW4OZMKUVmiz1noNbZuCWRVKolmnvMLAXTrs55pP3eRw4VqeWTeAq2sUoUV6McTBWh8eJx+U74dtv6PHBW+foNzza2eyRMMriBqXxPJmNrcMBue+cLHseLpiX/Oz3Dbhm10n+8HOzHD47xXJSZ+B7NJWgkQE9kMZeOJnLVKx++XHN7UOsPi8znWatT54TU146Ufjmay1F44LYVE2GQp7kwDZWh8caInw+f99eXnPjZR/4ke+86S3nlnpfV6o8L8BH4xQZSJbPPrB9tHJgd9QfIoSPlw2WSXU+IF6itc6ae3P2dp5XincowG9c9jaiMirZZCeMnLFzkIsS2PaxLOhSUmeuSc7eKb6X2M4dLyEMxwTemF4a8XsfD/jQ5zdzamkarerMTilmA8NUoGlkzN0o0vcyq1PJpEnmnRfgDmz2chxHHDgZ0o9CZsLMxcmTTrkrkWdhjVOTEnu0mx67tkeocEQvajEMBPXYMM4B7qVZokZZH1vmJcDrBa+KDVMDfuztA975mrN86PNd/ugTcywOmwy9GjVP0fAEdWUIE2PZPOuT9WRZ3pBnOdcwOevIlUmHBaqxVC5DHCJzWbyI00zuoohCosRZJamQgn6nz6OP7d+9c66x/c2vfclRncRIz+e5bs8LcM+cAN3aUAvlx88tPuzXQw9PpWipMUYg06x7Ji+rNNIW5ThVaAVj65y5HWBngC8ZWzxHhtI4dqApgF2RJzKrklOpBbiX4qmUwI+pBRGBH9EZRdz3pOTPb2/ziXvmGKUtgiBgLhBMB5pmYGiEhkZQgrsWSsJQEmbSxCaGMmciA3jg28znkTOGux9pEMU+YdOsCTDzW5nOtkQQxQrf93jdDT0+9qU++042GdbsaIaxbwgS8GONH2mUsnaslRGyHO5DeTxTLUm0pBF6bJoe8m++a8AVF4z56O0tHt4zxcKwyUgF+L5HzRPUJYT5gKXcXpW2rqgoWBPO8c+YfLI4y2X0nKAmHbH8dam9hcPmFPVGSU4ABqKsnU4Dge9x61ef9N/2+pd+/MTZzouWV/sLf2cGf/DgdtmSD79sTnx8atPsWZLUL5nC2ESBzvofVTbAUmcF8xVwT8iS4p4DO5MoLoNXCn+yieHktS7CjnrLyz2t7jZ4KrUAV2khRzwvptOPufdpwZ/c2ub2R6dY7rSQ9RqtumLaN7QDTcM3NAJDPSBjbcvc9VBSCxS1QFALyCr0dAZuTehb/a28MftPwqlOzSZWMn1bTZyU9TO2D9KCPNGSKPLY1BZcsmPIU8cTBrHPOJvxHURY8Kl8sm6eqIHJOo384sltyDi19eHvfd2QN710hS8/1uMjt7V5eE+bpV6DjgzoBx6BEgRSEErbCO5Ju0udEuVFqkRW9rsOg6+pX5lkcofQNE7gaQQppfedOgCPMoAnpqz1H6PpnR/zRx//wtR/+InXvuzaKy+7lecZHvS8AF9ZOREe6wS/f/eXzzR/4p19LthsO9mNUZkscSVK3uhrAe6Cu/Jc5zrUAbhzQCq8UJEmplKgb2WJzjS3RsnUDsTP3QwZs9BLuOsRjy/c2+Izd09xvttE1Gr4LZ+2B1O+7eSp+2SyA+qByO4yKznNdHcgCHP2zgHuJQRBQi2IMCbmK4+GHDtTZ35W4Eud6VhRNvo6bGccCzVNFcOxz85NgtddP+BTX4voxz7DWFDzbb9qkE2WKlcpVfjVdo465XE1wllZZZY19aiHY957y5A33LDEp+/p8fl7G9z1ZIvznQZDETAMPDxf4Qk70sOXEl+YTGoZFMKRhlX7cB0yr7hgJXOLIgBNJxjb3ktpkhZXRt6tlWKShEs2d3j3yxaal29/xe+TnLwCGP6dAP7UvsdYPN/jL/4iZftmj5/6/gGyF5CmXtbYmwNbFUDP96zMZUn+On+vchLA9k6uUxNYCSgdYNsBnVaSiAzgnpcSeDG1WsxonLLvFBw9rfjLO6a49eE251ea4Nfw2j4NJWn5hpanqfuGug8134K75tuZhLbMVDp3kf3cZCDXBcgD37anHTqteepICL6fLfPGSdGLCgrcIMzWSwuS1I5zvnrXmCu399l7qsGwJmgkgjA2jBWZtacz9s7dlNyCLLVK4bMXSTeVTR/wGUU+9fqYH3jzmLfduMoXH+nzV19qcPR0jb2nGkSrIUnoMfI8pLJTfRXgZY85kxfShTL4X3Mr3JQS1JoS1BrHCjSgsY3PhWg3aeYRJkBqK7f6Cd/56lW+4019lpb3Tofi+753uWc+ONta7wM8D8Dj4VERRYN/+cXbfmtef/cCl16QEseGIBwjvRgdSaJIobWyAM9ZowC0C2xZ6m5EBmqcxwl455F6oflsUsNKEp3t8pAShnaSapKmnF2CO77qcehknTsfrHNqpc6h000IQ1TDo+Ypmp6h6WnrIvh2cH7Nt+PaLIjzu8zuKgM4mebOwO2nhL5lb3thRRxZgD1HG/iyag8WEoWyHrxwFHInRWd9jYnPlTuHXLJxwNOHEwaJTysWjD0IEjsTUDkAl1LYzimHyWHSfhNFMJv3Ucapz9gPaNcj/vEbx9x8TZdTK12+8lDA4RMhX3y0wemlGunQR0uPOFAIKe1KkXXlS7KMJxSyZT2QVwJN3Cx17rbkGlU794yxyQAepxBrhJeg/JR9JwS//4kaZzqHp//Z+wY/GfjJh9ai6OsxeO8z+CTf/fqX7mtqHfOBTzX5y9sa3PLSEVdeGLN11nDxhWOUkaSxrCyJVaDnUiQDtsPiOVtXP5lxIvaStQspolL8MCVODYdPCJ46rLjjwQZPHwl49kid7jhkHIXgB6i2T6gEDQUNT1N3fODQy+s08rJZWxceZrIkCBRBILMLwJTa209tZtG3Or8WxBgdcW5ZMjYhnicJpMFzbLYJAi9Anppqv2OU+Ag8NsxGSDWiH/sMPGGdjrgsGPOUrmQgpXCi2HzYEQKjZcnkzmAkP1XF+InBOGDzTMQFm2JefNGYYTTknxzp8PTRgDseqPHUkRqHj9eIEwWhwkgFQpJKJxtUJCnW0SoVcZ77wPmjdh4n7lpDrPFI2b0rZttszOW7Yl770hHtuuEPPtni7odOs9D5PJ7/3DBe9yf/7SNf5Pc+s6QGq18VZxdD7niwzVN7A4SEOx5qMOVrLtgec/XlEW+8Ycxrr4vA2LaoepNMZ0vQgiQDfx5IVhjcveSNBTTZ/BLfMyA0QhriyDAYWUY/elLyF7eHDGLF48/WOHgiZLEfME4D8AJQPqqtCKSgrqChDDWFHWemssIjZVk78IVNerjg9iVBJkvCAMKAzDWxKXPf0wR+kmVEY+q1iPMrKXfc36LTC5mZEniZF58XfYnnYjbtBIRaMh4r5ucUb7pxxBcfHnK802ToSytTPPATgx/nnnXmscvU2oW4s05k8Te08SolE2kqCVJF6ikS3459iGPfWql+TDOIufnqhJdfMeYdrx6x/4TkiT0+w0jx0TsaHDnrg5AMhh5ppPLyTYyXA3zCMnLTtxWAA0YjUoPQBpMBu95M8X2NMJrXXj/mjTeMuOqymJ3bE6Z8mG9rhIBts4YvX3uc9vw94nUvf4X6L//sU8ncjnd8YwAXgPJmf+/Dn5269sipbYy1hrrdCWGhr1nQmiPLmvuf1nz8joQNswlGG66/NOK9rx8VvXYbpjTXXR3RrGUrjhFFDkys81fz4TydgeCJJz2WupJ6TfLgHp/P3lNjFCtGseLM2QAtPGLjo4UPnocIPTwpCZSgJg21DNihMoTK2BpwL/N8vZK5g7wvswC3yno0RcHega8JgrxAKy3YOwhilIr46mOKT32thQo8a7dV9PdzM3juhadp7ngoRiOft9005DP3dfnoV6boJzWamQ73cx0e50kZU3QLCSELgNk/JR2t7wBcZ6MdPMvkvqdIPA8vSS3QVYpSdpD+TC3hpssSbrwsxogx775lwCi249z+9p6Qh/YE1EPBYlfxxNMB3YHMVJLgOUV5sfOEbQ287rqY+enUNj2kmve+fsR1l8QYDRtmDLMzGs8WZVhLdWTVwRU7BRdtTRkn/Wv9mZnfA37sG2LwXq9Ps9lo/9YffvoyYbRKvGa2hKRW7KsUsilIY60519GcW7VDY/Yfb/DZr9or0aSGqRnNy66NaNVtHfC66Un3sspch9W+4uGnArodhfSknYliPMtMwsPOBfZAekgp8aWwYJaGUGoCaYEQKAhUOaPPglyUDQ+ebQTIG49dcFuGz8pq/ZzBU+eeEHoxxkScWgyIxjXCKUmQpb1VVpVXyWIKSvJyrNOiO10rothnpqXYMR8RiBHDJGSYCOqeHYKZ15DkCS0l3fJWWfwt+zdyV0uX2VOts+aTUholSZrlDVQ2lz0hTlJUbHMJnkqRMmH7vM5WDM0VF4yIzBDpaTodwcNPeawOJKpQLNWgunKms2KsZk3z8mtjpmY0JrEre13ZY2dlrkLHPpHJpW/uDtnYL0oUg3GgwiC+bNPF7273usNuq11/foAfOHYW31O//rWnDt+y3B1Q8z2GmVOC8Z0AYCIwQJMYQydfgpSmu2o489Wm8xXXA7ir37KTIwQ633KBrOZUqDLIkTKzsnJQZ2lnSbZxa+4bO49e1kmvyLbeowC3betSBBm4A4+ixNQyeMbinibIsqO+HxOGMScWNX/2xSZ4Ab4UZYBZyBOxhsFdfzhPkFmw2cE6UezzvjcN+fRdQ54916Kf+jQSuymtrQI0ZSeOynMCbrCXly7mUkg6BV75XRe1MJ6n8FM7L8XPgK5kmTSzdePZc6GzwUEpnjAIkzLf0HzbKzWINJOZgMj3z1jnnBc1RgK0Io098nksSSyJyYFsH0GUJkb2Xj6AKE26RIM9t+jhkV+XJvnnX5fB/+PvfwopRXD3EyfpxLYjpSZzf9KORbMRsLPO5mAHB/wGlCH1HXCvi++c3XKAV4MXIWXRgqYE+MKmlUNhqwV9aV97kqymIusezwuJPJw5KGQ7s5Vd9SXAZSFbwsAULW1BoJ3BOQl+xt6BFyNlxLGzgoVuDeF5hJKKPJHu13JOtysdKsDLnI4o8Zlrj9m5ecjes2OGqccohTAV+KnBTzIdnlA4S2UKXVU6FfLYzk7azeushSONNF6qSZVEefn25SorVrPbyihZ3oXUqAzkIv/b2ClZQprC9cqBnjtg6wG8TO6VcVluSlDJn8gsaHYTh/a9ehjRajyJGn0wUOsohDUAf2TvGQSw2o+QQuBLg0/pXaYG0uyKKiwfcvWRA9+lqueTJWRdOU5hvRBIyhSxnUoFvjD4IgNtJgHy58V7GdmXpaAUDbaBEhbsFXBL+xjkQM+DzwzcefePpwuJ4ntWnwZBTELM5++rc26hjj+lCNwaDtdBYUKRuqlrp/oyT/qMxnaC7Vtf0ee+J0d0kxoDz6OeaKIsna5kWRCVF5zZjbzyv5QHmnnVZm4dZjNVDKTK/k1PCxIl8FKZ7WJna3mSDOhlMk0XCTYptZN4y55LF9yZzVvsFfMc598ptKMwIai4b9XyDlnazdhgO42HRL3D6+RTJgD+Bx+9nZlW7ZX/7WP33LC6fDqbBpVfbbqoFcjN+xQqqdfiA/H1N14pBEmeLBCg8kdh8KCw2lSWMrbzTUqNq3Jg5wM9M3niAruYg6Kw/YjrATwPOHPd7eWyxGR6u1pLHvgxgR9xtqN59GAdvMCOgJamSM8XDE6VxXPmKn1gt1RUFp54HPtcf/GYuekhnZUGg0TRUOAn9ruo1A5QUrELcFunX1Y4lGAoyiS0KaZUaaVJtcDXglRJUqVJlSDJQO4Wr+XlEDIHuQPqvGRCoDOQk5U05zAsk3aVYoxK/YrL5s5nZgLglFYzRpAKW+gXseWG2uzbXrl44nvvnd/xHesD3CQRg4H5tvkgvW5KjlGej0FXD1K+BQamwt66CGzsv6VZq0hEZp+4ZlJ+ledZsRIc5XYnkyWcXl4bkdWA56Wetrk471SxskQV3SslsPPmW8vemeb2KPR2bglaxi7B7RfViTGCmM/dE3Lf0y1k6BFIu9rllXhuG11Z8TeZzawWpllPXJFqxXDkc+NVQ7795h5/9LkWURrSTyW11DBOyFYut+pPZ3JOT1xQz8XkoD1Z1vVn4E6VRCltGV3KbLSEdkqR3RogU4K8km3OmTxfpB2ZKtaSuTtyr6xhyWXKZFnHZBYc+sOUIK1dJxujb9Na37sugx8/fpLpqdab/uqTd3xff/U8U3WRLWX5gTHOiSlTsGTsncPZVSSGyvWafVmHwTNw5wCQDigkZc2DO9ogZ267BUn+mozBKdqwKiyedcP4qgpuO05hgrmzns0ga2/zvbzhIHHuMRExf/WVNqkJUUX20g0wy77G3NmoaHAm2vW0tNOh0jzY9BD4vPe1A/7H58es6phhWmOYCvyEgsWlNMhEFEVn1i6cXD8lpTUpHJALUi8b3aAykHu2S8tLZTZmz1Yw2uxxdd6kyibUunVCea1K0ZRSAL2UKmsBXl3bKyDPf+6Ud7ig11oQJz4rvS6JP/6+Cy9/w51Li6e/ODe/tQrwwThBDaKLlzqD3SurfUI/IMm6412HL7+SdPaX3VS7C+jnugnhMLkjTwqgT5RnFlp8QnPmoHdneyglSi2eVdxVht1kwPaUKJ2Uwg60Hfe2MdlkzF0GmJ7D3qEf8ehByYHTNYzyUVISSI03WafhCPBJFyW/F51OWjh+tQV5nPjs3hpz5UV9vra/TqwChomgJsFPDV4iMvmWdeEkmQ5HWrlQ+ZPCYXHhSKNylEc+E9JTupghqTLpV4I7rwUyWZlAzuQUq4dwwI3IJ2atz97r3UzevEoZeOZM73Z7GafeJo56GN3djR5eLIi+uIbBD59YptUccuLciGEkaNatBtZqnUDSqRIzkx/seT52wdwuk08C3QG3Kmq+S9utlCzCds+LEtw2yBRFt7hXgFtWAO4O/7Hd9hTALrKVBXOnBJ5N7NiuoBhDzF9/pcHSUh0RetZ3dy/CyRqUkpwqFmHefOvWcRfetFbEscf8rOQ9r+vx6ME247TGQAXUU6vF83JWJcnAna8VOvPE3WjIySbnfzOb91gZ16DJ2hDzFckUz2WxrXqmwWW+31EuTWTZHDHJ4BNNK2W6b22h3aQKcGuWKvGEo9mb9YRWbRWRnkPqsriwAPjvfvAzSClZXrabRsnMsZM5iB0wP9coh6/H37n/X8qTiUcX0C6LV8aLlYwtXQZXwmHxXK5IlFcFeOBlA4D8fOvALMPpGfwiFa+z52nl7inbufPsMfj47S3GMkBJlWUvqxfiZAZzzbLsHMuqDs+0eKpIUo8w9XjPG0f8ya0DnjxcJ1Y+AykJUp25RwKZGuc4GdteJtz1VGd/q7pvkcvkqQavsBDtaGuVlQSo1JTDOou5LKK4oJMJPW7Pp1ssh8PkOci/3lrvMveEXKHK6mCQ0md1cR+j/hmb9ncBfvjoKXbt3Nr41//uv+96bGWB0HcGtlfA7Vxda9h7HTC7r8Xk87Xa+7kliiiAMzkOWTqMnQeZ+dQmz8s3ec20t5oAd56+9/PGZG1nhhQtYnlPZ5LdY5QfceCURy8KQHmZPDET5bGTF271gFQHGk144Vk3Tpn48Wj6gsu2jXjyQESqQ4Y6oJbamm0v0+BK2I1cbWIph4MmDzJLJi8rPfMOd68YbGrfywemepqsg8jYCQpZQ3I+XSvNu/sLA6AMLovAc+J852hZ0zBRcZmqwKq6LGvBL7Dzx3VfoGpbdl1z0080eqv/YtCa3moBfuLkGZZXVt944Y65n370sRE1X65hGfvaVJePiVXmuQLK4j1R/ZnA5nNcIJTALvsYlcOKqjJUMwc5ZY20ckBdPM+SPIrMC7fgtgAuhwL5rjxx2VtlfZ1BxHJP89/+psXSsIYIfStPpKmsKuXgnOfXnJVpAvmcmILBraOSJB7thsf739Xjy4+2WRoHRNJjKCVB1kNZjnzIGNytpxe6KKO1jpjEGJ0l7FxnRWQMboogPQe7kiJjcCuJ0sJFoZAppQ4v2wlLmZIHnqVVWDk2E6vc+gCfwGKRLAKymTqjccLM5k0/ff7MvnuTePhpyBj88SefpRYGHDt6DEmK56uixb+SZDdr/9Dz3iZOcHWw4wRrU6a17Zy8SYlSHUxTAFsKpCrHjykH1J6UeJkk8QqA55pbF0Gl7+kC3L6X119U2dtXMUEQ8Zdf8XnmUB2kj5SSMC+NdazNYo/47Es+ZzUhJZsXO1U4MiXRMtvkyefq3QPefnOXP7m1hvZChjIglKJI+igpiJ2AbpLJhcvkbtbQqYnRCpSxq4I2woI7nxKWDVMtx0qUs2jKybS2j1PIqjwpnJUKBsrX38htLf5KgNsVUDIeJ5w/d5I49UlTuzGEBzDVDKjVApp1H9+zQEqdf3hS9AuTZVufC+T5l3DcEvt2Xphv1gyUqXjGRWApSjYvGPLrAVyWAFdODbWX1aX4FFLEV6Vb4jvDgUrNbdnb9+zUqpWO5m+/2mKxE0Itc0+EE4w9h0QhrxGpnK3nsO2KnlaJTnM3xWOmrfiOWwZ85r4RS/2QSHkMU5nZkyJzb0TZjC0nEys6q+uwb+mCzcveSC93VlT2PBt7rbNx2Plxd0Eusp3zCimZyRO7Ort6XEzIFVEFuDAI89xoN8IWaVV7d8upDNYulERJQKxrpKn9t7ylhT3Mzs9ceM/dD/3kV+46DUJlndoT5rvDPM93E/mHyZ8zcbIdoFfvYn2JkidOKsCuzv52O1zscHeq4M53NsiZWznMvYbB83ET5cgJT9nM5ZGjgv3HamhChPSK5tyyetCNH4TjapRf3q1FKUCOcOSJKJyMot0s9cB4XL4zYveWEUt765g0sCyeWpniOS5OyZ5uoVdeLyRLO9dkbG5Kn1zLcm6kG9uobNcOLcm0d35eSjIqwK1FNksl1+RiQqqICTyY4sV6MkU4z9YkhShXwSCQLCycRLZ2/+TO3a98/LGn9x31jp+BzjDZfPg0b3py3xJTzRpgv9ykqK6A26z569UPNKG3Jx+LWSFUQV6VJ8JxJoQTbJaAtgxONgrY9cHde7altXLB7YA826/ez0pDc/ZW2WvPi1Eq5vNfa3FgsQ5BKU98x7qsXLCsHRexhpUK9nQDzjyjWdXiUeRx0XzEW28c8NCzDdA+SWq1uJ9m2d20KpVK5nSDpQzkxjgSxZErMnsus1VF5nd77NNsxZAiY3Wdr7CmIKYy4eM+z1jaaW8r2l5ccH8d12nti9Jw9DzJtDrLzk3RmzZNjTZHYXLUiyKII4gjG5p4qrrMPlcR4PNSOFSY6zntwfwgUNXapUwRRRnoJLALNlfCacJ1wJ3NJyy37WAtsL1yQFAx4s3TGcgTK09UTL0R8bV9ik9/tclwFEDDw5MCX1SlyeTnd7/zugBnQn9PWIauLx4nHlMtj3e8ZsSt9w14cF+AafoM05BAUFxoqvj7pQ521tIC5KayQuvyAlOWzVNp9bh2WDsP6nW+9YkWjv4WTqBbjaFK3V3GBfY9UQDdBfdz8Obz4lAIIIFAefhS4SuBUQJPkGB0TOinTDdt4dFzkc56pG1Y/8NU2HoNwCclSnWiaRlcigI0xbw85ezeoERWm1KCuwR5XjZr8LxyhLKXbcLkqSrQ/YKt7V0pG2AGQUQcpdx6f4NnjzfA9xFSZaDK5oY4waWQ1ZM66RrlB61MN2fBvJPJ1MYZxeHYhVHkccUFCW9+RZ8njtYZJwGp9BlqRZAy8VlyL5wJBrePZuKzoPKLTaOVQOWJFCkwyuZDcj1erKgSpHZmGepy1ZCTAJ+MS5gA/v9EpnM9XAogEYLByHYWtUeaaGTwbv/irfi+Ymm5y0zbLyvdzNfX21VEr3VMQFRO7BrNzXqgzhnbDTDLHQhKaeJYhQVj5wAvJ6cWEiVjbsvYpmBqr3gsn/tZcOmpmDCIePqY4Iv3NRgMA2j6SJFXDuLYg+tkMZ3v6VJDXoti0VU93msSPk4BVhT7tFoRb75pzGfuGvHE4RC8gJGWBJkWV9o2XbnSQKQU8oB0wttVpYb1FKV0kZbN81UlD/K1sWCXxU56AqFdNyU757pk9skcxxqAT4B+kiSfD9luTGOMII5DHn30SZ565jBGp3i97gpSSuIooh4q4tRNIVeZex1MV19PLjGVLyMqV/C6LC4dsLuauwC51dtuNlOprMIwqyi07VzZc8+dDz4B7uzu51NoswJ/TyX27sX4fkxiUj53b527n65DzQNpG5p9p4S3Uhrr3t0X650f49zJGL1oKhfZZFVZAfp45PPqqwe89ZUDnjlWI0l8jFAMhYefUnwmkZYsXn6E9ZncHWKvVM7cls3ta4HUotDhhd+fM3q+2mYMXgztnAB3JeCsgLx0VdYD9tdTFG5/6ygS9EY9EGPA4Pm+Qkq7X4xSAp1/eVNZyL7uTTj/mWTs8rl9IV2AO21d7s4CFWBXpIqbpnfuagLcyrl75SaoOaB9B9S5c2IdE/uoVEzgxzx+VPLxr7SAAKSPEKroIlLZRqpygp3y75OfGlEcE0fQTbCPO166uKe2dc9OoVVF+t4Yj/e+dsgd9494+JCdJBBrxSAVWcFXBro0B45TB1KBh109UNUq0fynKgO9ltl+PnlQnGvvrJRDCvtYnEPtDOyUzsVfSYCVkqQ8Xs8faD6Xt5J/brubsiEtU114k/ObBdbndPP/Xx/U5euSuYVzhWbv4UxZndDdpVQRWbKgtJ5ygBdz8lyQZ61p5WZTdmeHcgB+Ce4KazuPeWNtLlWUSvD9hDhNuPPBOk8drIPvg7TBZSCMMznWDazEmsBKrHdC8lNlcqALx9WgqsWzVjatMkcl9RhHPlftHvHql1kWH6aWxcciYKTBS0UZ+KW5XWgBVUoU+wHcVdq1LpUEowzSCJTBZj+NQBiBESCNKKWKE1SW7J2dV+1e+M5c93XyIPYoTWhxsf4xnIR9Pp1YZt59/tve6YUEhCBNEpLIesWAs/V0lcVF9T8FQ621BXNLSBRSpZQm+VJVdUyqe8RM1J8Iir13it2L8+bbSsNDuXWJUhPgdobiF+6JSlGeA/BMogRezIEzgo/c2mIc+9DwM3lC0Zqm3F2CXeekElU/x3kxVaC7MsXdHECb9bS4RzOUfP+bB3zu7ib7TtmLL9WKQapslWGaJX8QVn+nonQrnJUkrzhyAS5NqcVlptGlNhhpz5GRwgJcO7FSzuTajaXWWdkcQLsevUuCzw3w9Vk2/zelhJoytJoJQQhGG9Sv/tpvbEq0/L/37Dtyue9l1WnKkQSTd1l9XdSGiElJMbFX5eTP8vdlPg44e8zGAxfAnbjnIxNcj7t49ErdbR2UKrjdvXrKYqps9wcvLpoZfC8ilRF/8tkG/+OL0xCGoGoo5dFQhroy2TgKigZn32mNKzOpbiJKUk6GpRKglrFEaTvmF62QZI2/ZS+kkgZhNDs2R5xalDzyVEAi7OQBLRRC2FLa9eKeNYxoXG4UlVWluBCdZpf8cjATEquQWrhNCevc3f+P4yYVzcRUH8tMpSOhnPyBa2NLYWv7Z9oxl1/xos1XXvPKL3lHjhyfHva7b5HEeF5QpL1dC6dywawXABTLi6OlXAvIeV4mAFz3ZKIGxWXtSh24qWhvWYChlCTK0d6q2OnB2YhKmQlJklcK5uwd43sx+09LPvblBnb+imXvonM///uCynhh6XxvN9AU7gvnpFTAod3akHKuoA08s6ymkehUkapMi6ce3/W6AZ+6s8Gekz7ICCMko9THI6sXyY91msEgzdVpDlVXy9rXBjsbK/9sMgOTNCCNlS257pbG/g2jM39cZwFqZXWusvm60sR5z8XZ2otyAn/ZD3RmiaapoNNN6XQGb0GcmPYwEZ5MaNXtrrpSVZeS6j/23GB3bcHyA+cfzo2mJ2SJq2Nl9bkLcNtFkutv53kO5LzaLdfgDrjtRFadPVo7UCmNyv1ulaBkgsrkSaoSPntvkz0HSu0thbTed9FBw7onUDD5uuDGEkiV59UG5Ion7kyk8rSwtSmyTOFHsccVF4952yv7HPpYSJQqEB6p8BgKgZdm9l1OPuSOisDl4yIEzujRGIEyZcGRkfYzKpd1hSlT/AK0tMDXuUxxfHAX7C6Q14DdJcs1knetLHGxJxBFXXsUK1Z7KagEb246wCQBs1M+Sikqi5Fx1Jpr40x8kPWutKodNPkF1yYC1m9uqLJ2/jpn7RzsOXMXQFcuk5e6W+VBZL7FidR4shyar1SK78ccPqP4759sM5I++QStsms+W0HcGmhXT1bsgOe+VUbKZF543sJWpuxdDS4q9Smp9khSnzBN+Ofv7PM3dzY4dNoDFYP2iIXPUAhUWjoa0g02J0Cee/O581CsMAiksel5g8lYO/fEdYXNTfZ3tBQIU64ea82EDPgOWF2wsw6415LtWsYwALEgigRzq3ZQqDfdEqSRYqqlSI3dcz5vhi2/umv+TfzjLksJ90qsJnKK51mV23oM6AJbTLB2nkipgluXEkVWGdyr+NsZmCt+t3OXlsV9L6Ibaf7oM21OnQ9BeZk1KDN5Yiq+d/Hc/e4VlqomutYFOq4mzRsP3B7NPIUvi3vRDCEVaeKxbcOYH3l7j1/9SEAntgGBMZKxVtY2TPPPYSAVlAq7BHn5X/sTlV2F2fym8lGWjo/M3TaRJYDyc5dZhqZg8OcIOB3w6hxXLoYmsLYmz+JeotlxSlLoDzQrPY3wNV7oG2qhoVmHcSKIYusl2iWoSkVrItucnd0PVzwX1aWIDLQTYJhk7hzYJWuXU1oL9s4K7ktAO0zu6YzRdSFNrBzRjlTJGTspHj0V44Uxn/hcyAf+us1Y+1aeCFXIk6KpeMISq+juQpJNsMBzsHh+lioZ5AL0ecreZJt8OaW0mauSaI+al/Bj7+6z/1jAhz5rtTgoUiEZaRtwypSCwcsCrPxklRkP1660oC4lizEZm4uyUMySji11NZXEj5UxRV16hgftklwFM6KKHxygP8eiKER5DO1mAhAnmsEoYRSljOMUr91IiccpoW+Is+WMvKKsco1M1KhMLCeTvvdaK2htbcLawhwzIVGME2RmW3S7WwYq13XQjlTJwewwuSyrAwvdXTzaWYPLK/A3X26wMs7BbQHuS6u9PVGVJ5VVJ7fL1jshzoFztXYO8qoz4MoTyq0X9USduJQordDaI0k9poKUd75+wKfubbDUUyBj0IoYq8cnqwsnoqnnZHKbByqTQnl9Sh5smozFC0BnPrk2TDC2PZ8IYRmeTMpAecGtg6WKXJnEnsvgptxFOYoNg5EmHBq8cZwyGmsGI0vvFH8g9yadIMnV2xNXWgFgF/RyLdjXBGRu21MBGGdEhDQV7V1aaWuDynw4TQnutBJg5kFmvs+N57C330j43FdrPPhUHe1ob9vUkMuTar1J0ZrlsLfr+btW+PoknrFnYaGVEmWyGcK4QaeRduOBzBdPUh9PJ7z86ohvf+mAP/t8ACoCITFCMNYeSgi7BUkeaIoS1JNyJbcGjbF2bc7sSpYyykinUEzalrEKcxt7wRsHAzonsZytTf6z0tJ8TuYWa3G35mgKa9U2aopaCGGg8Z48YFhe0Zw8nzDV8jKLUBSJHrHmj/Cc70/KlElgFxeBNKVUmWBsISbYW1SBXboo2Wtl8LIRY1Jmjok0ma52JEnumEhHokjrnoR+zKHjko98rsXZXmD3u5Z20LsSlDs2TMQLa3S36zuvw96Tt0qix2H2NVst5kMnK133dv8c+2i3P9nUTPmBb+9z71Mhh85JEDGg0EhGQjqbSFlQ5aAWlavQbVXM/ltkM7Pz4LK5sM9zMOeyJV+J7c/y2e8i09vZ87w3U5TPcZ+7bA4UoyccaVxcEFlexg+g3VBcfZFkfl7gjcaS4QiGI02jZpC+WKstJ6+o5wC3ewW6gEbgLJFV3Z0vXcWBL+qrHeZWOeAnQF7MyJ58nhbaO2dxLx8HrBKUTPEyWzAIYsap5g/+ss3dj9Ztb5v0rPaW0nbtiHL+SvFZ85WFiWM1weQuzl2sr81glq5Fuce7Wz7rltHadjOdOyqpJpEeKvF49YsjfvS9XX7xDwLGibQZKC1JMldFauF8NgvyyggHI4qJCvnns6+FExtk3fUGjDRZgCmKC6AIOouL3lTqVUTG3kxibAIzk2Q6qdFLtrcXhSfsgNVGDbu/qa/wmg3BeGgnQJWtYGsZygV0ccLcJWXiYijZ3Kwpfi9Z0B3ssw57O/vPy/XkiTRFt7fdNls7EsUZ+5vr7mzGdRFcygQ/SPjKwz6furvBOPKh7hXau2DvIrClcl/P268cH/KAc336dgubyqmqLrjBqLzKsFornmqJ1Faq5EBPEo96I+Gdrx5y+91D7nhYWdsQCUISC49hvoqSs2BZkAWWhYtSXmeVsRZhDursc0pQ2ffLX5tMmuRAz8+vEQJdbD+YBZ6yxJSLG+O8B6bK4gWrV+1ZIawHbzW4oD+UBDWF53uCIJDUa4rAt9Og3F67CmN/A8xdAt+sA+i1LC5cve16y9JxLHL9W+ynbl8X2ruYhFoC21MTQFcluL0M3IEfs9o3fO7eBvvO1Kw0EbYkVuTaW+BMkDJrwF18N5dNnl94V3FuLGvmltxkCrsA95rhQGWNipQKqVOk9ojHHpdujvn2m/s8uCegE2XpV231eIQi3wdCknnjlTLacs0x2OROcUFK67aorKWtZPNcqmQJH5HVkBdAF8V51zjHz5QMPwn0asBp1rB2FW9W8pAPy9eCUSQZxxKv3VCkkcd0SxEGouzG/gaWiOqHMVUWd+/Zh8i3nS4ttmqypAwwS2CX4M598DK4lMVgdlNh7EpAmSdyXBdF2k55Tcqffr7OBz7ZwgjP+t4V9qbU3nKdz+2ucBUScByn52HvSiUfk/o7Z/K1rWz5prtaa3Qq0dL64kpq4tRHKs2PvWPAwdM+H/iUR5yUINcIxkKidD5IItcKDsgLUGe6ArsIFPAXWUo/Z3OyzKaw/6bJVmdTAD3P/GY5VOFob1EGvWVs4BzHdbYOXy/5I7QhxRCnAqNTun2NHxq8uSmDMpqVaTu8Pq9kq9YQrhNMVgKB5wJ2dRmpMLgbVDrv5R53zuzlTLzM+55wTGQObjUhTyb2rFfZ3jNWg8f4QczBs5JP3dmk3/ehrtayd1Hz7awuokzwVCTZxHP4+kmeksEd0IOjxUXFPTFZ00EBdOlsxiutFpfSI45TWs2Ed7xmwK331Dl4Jksq2AHVpEIwzJSrEBYcICgmOYnMF5d5dtMU9eE57ksnJU/dW/ZWGVhLeVIFehkQlhiqEGHhulSZW2RAE9kFNnlc7eewo76Ho5iFlRhUhDfV8iCVTDU1cWqIE2uY59aU+09MLh/rBQlivQ+dg7gIXl0GNBV5IorZd6V7UoA7Z27hDmbPnRNd2W5DOrJEyswxyZjc8xLGseb2B5p8+bG6HQ4ufQvwCfbOi7yUEFSC4WKpraafc4SLr4fsNSfHAbpz1zrLHhbbd8jM780YXJd6PBUSlUq0UMRjj9dfF/H6lw858QWfsbY6PKuEIsFjJEBqZ9sqIQoDO0/9qAJeuaOS1YoLCuAbIUqyN/acGpEFnhWglxlVXSR7ylk5QmDLekX+edx4zqb/i8VmgiSMsduzxImhN0hJtMIIH292w/ZVY4a3zs3If7TSTTFGWfbRZa1ZmeqpsngV5GYNqN066ar+zsGMs3zloHcYuwB2DvSybLTqnFT1tyrS76nzPEFK26kjg4S7Hg74tQ9PkRqvdE6kQghp9wESZVq+yuCu47M+e1fA/XxAn0j2TKbsXbmiyadeZcVYonRUCk0urTcutEeSaIIg5Wd+sMu+kx53PSTRgcgga79ArBVDXEFlHFmyjiYvvPBstc0/bxZQ5jpcZBeAphwlYVw8QOmTr2mCcLrunYRPpRFiHfq2aXrDKEqJU596vXXrRbsuWFXf+ZZWPx2fPIThR3sDu+tW/i8JJkpXK1rUTHjYTuVfHoyptQVTbpFUmXrP7cAyFa8mqwOdgLIoqHoOcLtSxaskdGyv5cllwa99ZIp7H2vaTXmkbUdD+nhSUJcQSrJNrsza2u3KPWuALobkVIcR5TXvUk00TDvHrXwtnIverD2uORk4cwDFpNRzf2Zgfi4h9AwPPhmwOnT83yzMzKeIlxWHpRRYO1/hG1mWnGLciXrtvJjLEfNr6sntL4ry+ncu/nzHh5K1yxUv33EkijWxCDl4cvEH7nvo2X3ew8/aTnol7MksynDEOleOw05rJEn2/V2mLtnbGeXlShPhuijuthhVaSLX0dz5DgPr3pUbWGalsNnzNEj5yGem+PRXm5iaAqEsOoWHkLLSb1n2Nz5Px7zLPu6BmsBFVexNlsxWAWGfV7vtJzt8dDY/0GTMbYwua1SERGpFKjzkMOWdtwx59rDPr/+xRxQmJcCFwGifMVl3VZ5fT62JbTAlKDMcGLLspjYFFotgM2dkLJtbe7BcEPLzb3ACzBwjaY6fjMWN8zGNgzsHgxVcYomiWVNcMO/Ranl2B7nlbjNLySY0gjFh4E5qKsFdtQyrcoSJ5WctyM2ERHGdE8PkCN4K2HO/W2QAd7R3hcFl6jgpLrhTpFN7csdDIR/+QpNRmk3BF7k1mGUthalo73VT8y7Q3Yt9MvCsgH199st3M8jF4JqMJmZNCa2RTmZTOs6KsENTtcyKs6Qm1R6hr/nBt/a5/4mAOx6zdmHujSMF2niMtW1HK4pIJq3DDKmFlBICRS5NHJDnTQ+O5s5/JweqkCCNqZCEyY6XcSQKQlQxlgedub2Yl+iSGxSCWiCZbfi06r4FuK9Kzk9S8LVAeQa3/d/V11ROYJnmlVRBXtHgeWp+PeckB7hrD7rgFuXOXmqNDtdVD3ySvWVaBphezGAMv/zBKQ6fCjFeuVtyRXvnEqkC7AlAsw6YCwiLKp6fR5BPjuWoZjTd4itXj6+tTdEyqziULosrRKoRwkNGmou2xfzbH+pw/0+F9EbZl9Gy+FwpHqM8w5IXd+sS5EYCOgO1oXBYVBZQGknWlZSBLqtJKZM8Ts4g/x2X9HJZXAksTVG85uYXLODzybUinw6NEFYaxhqGkY1ZvPm5OaRUjEY9hoPFzMJxR+JOljXa01H1yyedk3JmdEWmTLB55e+sK1G044M7fYkZmxfMXXFNnN15M8/b82KSFH73Ey0e21uznrfMmbt0TnxRlSVKVFlbuGCfYO4scsIdurkeX69h8gnnpGyAoCxmyuZfr6k2FJbBi6BTSwvyVKJFdk8zqaI1118e8/7v7PBf/3KaKM1YHIqoMEUx1rkWz3LtDsgLiSKcLKewiUHjsrnEmhS5RMmmzBpTypbJY2oKWSKKJBAOswthSuYuVEO25mXJMus6aRqNFtNTbbtF+Rve+Cbq9QYHDzzL/ffehu/5RX117nSsl8SpRrv267qFPGtHBUw6KFVAl4A3EzKluj9jyd5pqcvdpE7lngWWtZQvPRDyoU+06Ax96wFmnjdZk651TsqspVvKqyqfe63+Li7+SlgmitdiEtATrL0G7xWgG9wEUMna2VTYXJK4SSBhbcRUKqTRtl4lUbRrmh9+94BHngm5/WsKGknG1NknlIJES0bkMUUJcoMtjaWwLa3nncWqtqw3lzA6lxulfMlXbwNIU7VWi2nEEoRxsSYcSZLdHaswPw953boQBh0lXHPNi7jmmqvp9/t4QeARBD5BoKgHdo9INTEKwZUkQIWpKxp9QmtPArtkdeNo2glZ4kiSUqaUO+xagKdVv1taK1AW+6rbwFLKBOkl7D3q8d8/3ubgUmDb4DO/2z7Kkr2dOpwKyNeTJxVpMjGtaa0aqaqUNe6Cy+JlYqVohGC9NP7EkKC8EMvoYlNZkUsVYRDSQ8aG3bMJ//w9PY6e9ThwSmA8V2AJkD5pBnImQJ4jSxXSK/O7IWNxUQSa+apfsPiEdLFwcefkgEgn4xtTgju7CtzYxlULNkGpMdruXqGUh5QeXhjYPWtadc3sVILvbF+yRj3mgMX5Aw5jV+tPJphbukAv5UmFuTOpojIZUjK5o7uVzl5PJnNKoCuVImVCECac7Qh++Y/bfOorDYyvynR8Jk3WY2/lXIBrnZNqcD2Z1KnqROfgOb9TYe0JsOfvra1JcXV4Dmg3AM07f2RW1JQ/z4LPVJOg8aV1VTpjyU//puLcqoDQpVuBwSuYvJQn2YWWP2asrSQYncmXwk0RWZBZZXIhrVtinAYX48qSjJmNc4xdhVBmhtcrYLNJytE4YTDSRdJHBr4gCIOz9Zr54pZNLepBlG3KVG4d51btlZOlqmlzuc7r4j1Vbhwq3Z8LXfl3Kg6JKq3Bou4krxic8LxlHkyqJHtua00iNJ+9r86XHmpktSa5JSgzBs/Zu9w12J036LLJmrJYR4u7F/skcxcnYlKLTMiVtbNDst19tQvykrnzTp9cj6c6T/w4qX0j0UZl79nnSeIhjOSNLx3xtlcMCEQCSQI6v8dgEowxJAZGGsZaEGmItSAxkBRD+iHJ9thMtHUXy60Is90qsqA4zbKyxaMuM+b2wjQT+3aW/17lfWM7d1Jd3hNtiBJDd5BQa8wQp+KLfhCeNUIi5zddwvljtx+t+8P/tmXLBurhmNB3umKc+mvXmpPFNClXTjABbJ1tVKon/v9uy5krNbRzgbjvOeDOt5MuqgPTinMiszrvRGg+c2edX/9gm5OLPgTKMrcTWIoM3EXWcqKisRJHVGafiAqAXWZxQe0SePHMrIvxiTeFA3axRpIUgM8nYGnpNEZIjC5rVGyK33b+6NS2uMVjxY45zU//UJe33zLAFxm4jQN0k2C0tiA3EBkL8iQDc6IFiSmBnlaeu2DPd48rwZpOALgAsQNa7QDb/f/piXuq7fUZxYbVXsrc/FYWV5P/9md/9ZWjL7r6UrtHz8JKFyPGiGSVdnPIar9GqnMlX6bsq9pnYlfbIplTdUpy7V6RKOsFlmJiD/RcpqjSNZGOFMnBLZ2AMrcEfT/lyKLkQ59ssu9QCC1VgNomdqz2zqVJ0WfJpEfP+h3zTrCZh2Nl9m+CuSuvS+G3XrLHsraeSPiULoosMn7V9L0UFuRSmMIbFzmzZ/UEQmg79cpYbzweGy7fHfOD7+zx0FMBRxecpaoIOq0MSRCMhA0uyUa4Ge3WoZS6vKhRqaoem66XGZZMuTIWMgY3cMy0tRNIllq8Kv/y1S/VgtWRJpVDplpdlHQ2oeqYK5GqQa8bMVo4ie/JcoBh9p3LvcdzjTnpjqwDdtcSzILLXI9X9jZ3tofOgS2K4FJTuim6CDALWVK8Z9nbUynLPcFv/482dz5WK6sE84xlBm4lyXYodscgl99ROWBezxZcD/iTFvg3enO76ytVhcaVL1laW1tA6Ww2oBEO+J1MpxQGLQxCZ+6CUPa1UPYyEpp0oLnlujH/4n1d/tMHp1kZlm6KNeJFBnKPRIrCQclBjrZAJgd8Rhb5Zyz2vMpLXLILIrf33A4fM3GMi+DT2PMCExZhHvNmK6+v4KKtHt/22q288ZZL6PZG/AQZdr3adi59yYtvP3Mm/bXzK5voDayWK4JKd1zDek2/rrXnVv65gaGTbldybeJGKWv3lW7JRFfOmurA/HlSSeiMpOEPPtnkjz/Rohf7tpAqZ+7MNbGz+0rnpFJUVaxQa7OXFaZeF8zVOdffCNInu+sLIOc/c90Wxy4sJYtrIU5OprVSJW9vywd4alPuwdny4Eff3ePH3tmjrhPQaSZVUjCxI1esJh9nmjzO7omxiZXUWM2dVCSLo80n5IjV6LmmdnS2qcqYQqJkWj01xskJ5BcA1EPD7q1T9JdHv9Zuvez2bVs254sQvOaGi7jnL35jMFXrH2m3gsKmKk9y1Q3JNXY5jMcBvnCB7QaYa/1tWWktKxnb1eUyB7RKMxmTJ3KqzC1lAr7m2UM+f3F7g26cTcYkB7ZXBJiCTJoUd1PtAZ2M4pl47ki1Ndm3YoWb0N7PB/JMm7sjJAr9TXUvy/IicJqSXf29pvPHDTyV1edaoY3CaEUSK1qe4Xve2OeKS8bI1NXjLtjTEuQGG3Rm4E5MrsuzgHNNsMkaDa4n9fkE0NMJnT15AVhXyRTtbQBRItmzf+XIz/3C/zUQ4vIS4AAvv/kt3HzL27lg50VIkgpjr9sLuc7zojBKOc5HJWisNisosRbMVWBrXPdEulnKiVS856c8c9jn/b86w1MHQowvS1lSMLh0bEFTDPKZ3KlhPWtwPZlSSewInFelvfINyRVTfVr1xSftwnIL7somrk7fZjEwyMjCHzfOZCytVTb+TZEaDx0prr045vd+epWrdo+x23xkIC/ucQZ2UwSeIw2RtiCPtSA2ZOB2AV9l6xzIrkMyCfTUAbPL4muAbsqLYBwlXHbpJXzvd7+Ld73jbcXx9PIn7fYMQVCn2QgJ/BTPkyVoBcWmnqUWN9WAwPG1J7V4mdwx1efCFPq7muTRledKpojc+1YlsGWW0PF8Tc9Ifv+TTR7fE5Iqh7VFWW8Cji1YAXXVOSm13drGVpfRqYC9ZPXnKT9ZV55UMO5kMYs+zcr7LrNP1IwbO7db62z0h7CTaXWuxzFoIbPzJa0e14YUjScM118x5p+9o8/P/FefXiLAh6KIJG+mRIBWpEIQ5W1sWthMTvZosM3IeULfZHPZ8iSQcQgkK2vJ/G9n28Hs+EzW+uTaO/9YJsuOprHBD2rMz89Tqw3WAtz3FV7gH2w1w0PTU/XdaTKi2PypqCp0i67W1paICfDL4r1qIqeS7Mnfyxg9f251fOoAPs3qUVKkSFEiQYkUz08ZaPjQp5p8/EtNxjmYJ5gbIZG5LShLabJmnx2XvScZ2wmyq8kcUUqWNcj+evJkkr0dYFDV4RqKUcZVb7wEvAW3RGaAF0YgshoVYaRNhRtjn+ss6DSGNDUEwvCe1w/Yc8zjQ59s0Y+xB0xnKMwfMwinWpaBZJaqtzUyFnhK5LUqJagnk0BubYoFerULyHVWXCeluK4EmETTbDQJao1DYRgcHI2j4pgWEmVqZjunDt/3xbDW/mirPWf7FrN5fnKdQLIiV1wGLuq3dSFVKoFopd7ErSOZ8L1dcDuFVVLk7J2ivIReBH/86Sb/1x+3Ob/kF7Xdbq2JvQuHvc2abOWamS1u+S8TYHdfT7B25Wfi+cGdo9ottCreq7zMdvidCDAr/nie+KEqWVxnparLVWWrQjsCTrF5TvPzP9Thn76jRyvM+hdN6ujxTKqYFIy2Yxp0Va4UPnkmORKTeeaFTMk22FojVZjwv0XFX5/U5Elq1dQo0mzatIHp6dZH//bWe7540YXb1zK4PTs+QtU/7/vm7fWavA6RgJHVLgxhym0xHDvQlSVuCr6ULyVrF4VWhfddZW4pJgLM3BYUTvmrSpE1w6c/3+BX/qjN2eUsmbOGvasZS184XURiYp8dHEBPMrfjc1fS8Q5Pi8k3/ydvbkazBL8o3lg/dW9T5XaqlLDbaIsS2MKUnrgQOWuTPeZyxbI42iOODFtmUn7+h7ssdSUf/VwLatnSsYbJMyZFEmPjgkA4RVdZJjZncDL21pmdWOz3UxRhOXZhvrePKX1wKapLXj6PUCkfbeTjU63653v9UeWYSvfFxVe+kdHi39zbqq0+3GqmhNme7ZVspSh968nqP5WXtAorN3IAu+w82RhcBXcGZOWw9DrgljJFhZqDJz3+7HNNziwEJbjFxF1KRKa5c+fEyxITk506FcfIZWMmX2QHfUJ/f4OqpADz8/7c8b61K0vcC6F4LLOaVVfFDTzLgLNI3TssnjoOSxJJtsynvO/bBuzeEUGUsXie6TRuEGqZPE/tW4clS+kXd5ExuX2uzWRqX6xrG7ruSmWERvazWMMohlHqcWopevi3PvSle7/rXW+qHEdv8sC2py/IvN4+kh5x4mGMqpyQagnspAZf73XO4NqpKswTOk5AKVzQOzJFuBnLFBVoDp32+He/N81XHqnZBsqK1+1639bzzsdAeHKt1l5vmE/ld5xxv89VSZhrlMqFMfn7Yn2XJL8q3L1w1ox0y/1xQ8HedlNW6wmLLMBcryhLYJd6oWWWJJIIDUJohJZ5yEoqFGgbQ+mR4XUvGfFL7+/wC783xeEzgWUIKBJAdqh3TpMKgyDJPr/WpVuVNyTLQpdnmU0nSBTZdxTZeyKLW0Xx+1XeMMZKlGEEM80Gl1+yk1Qbbp3A8xqAz+94G0J4UTReRCfnSXSrCHxKRyQ7OOsEmG5gWQE36wSYUq8FeAXcqSNXMtfE1xw97/Hvf3+Kj9/eIBLZblTC7a8swS2x7F3Wea+z/fZkabDjpKzxvqn+jmsHPi9xV87OOmxuSudgTbF4XkJbOCrVOnFy0Fcym2UjhNQWwlpYkIsiE5oDvoxic8mSaEPNS3jvGwakGn7hd6c4dj5zVpgAd0Wy2IspT9HnvZ2a0lnJu4KKTnxpiipCiV2R7GtTyMb8EBYOC5bdexquu2gTP/6+N0VxkvK7/+nrANyvbUJ67Z+64+krrxTds7fs3qxRSlnJoSbY9+tYgvYisL/vavH1mNv+LC1e59ZgJQ3vpRxb8PmZ35niE3c0iGS24FEk6QAAK+xJREFU9ZpY7+5mLJ3h9dlBXFeaOKtTwRiTYBel372ufPlGAst1bpO4duvC16bt7R/NEx05g0965YX+ruhwF+TZONis1khn4M4bipMEfC/le948xFPws78zzbHzAdkc5upFqI0Vzlm2WCOIsHLClwK/8l2ysW5YqWiyepr8+xbMnQXM+fAgldmSUtqZkb4Hr7zB51/8441f3bVr+08N+/01x1VOvqH8Kf72c3d0N09v2Lfa3ZaeX6kTxflUaVMyt5xwQ8SE1nYag/PfVxMypOKSOOCWBbh1AW6pUk4vK37+d6f4xO3rgHuNLWgPmi+rXTrrsXcOZnfoKKzjwTqAngww87NdAf3/BLonA8xJX7x8U6CL37XgzeWOpjpEv6w4LLfpK+Yc5tpclwkgU1QgqiIZlCQSL4X3vGHIf3x/hy1zcZHZdLOc5d3V5VZ3R5nDUrgsjptSPC+0uJMQ0uXvFb2oGQn5Pmycgu1T02mSbNm3/8kvdzfMtb4+wCGb72H677/swvDJwMs93snsZblnox2EmVl5LoDF+oAvmDqXICKXKs57RUCZoJQm9QV/9JkWH7+tQaRcQHsTjw64xdqM5aTururqEqDrjYdw/e/19HWRyRTifxbfa9yBalKn6nu7af3CEmQtg1dLbMvOH6MnM5vVjGdqVFE/ro1CpxIvNbz3zQN++O19vDQt7cN1QZ5mqdYS5GOdBaAmz3y6teROet+Iot7cBX9emutOXNNasNwLnjxzvv/+VK9/xNcF+Ld/2xvYsWmcXrBzp6mHTGzD5wy5dPzuXGaICa9bVCoBq0CvVgVOdMHnd6XBE3zx3jof+2KDsVQZ1bqAdtibUpqU++o4gMYFet7RnTVRT4DWTfjkpOxqbRfQ+S+sKZP9RsDt/GJFpjisvsY1IffFmbgAsulXLrCd5gg3+Cwfy2Isy+B5Ot9h81QSasN3v2nAG14xRKS69MadoqzSaUkcsNtAOM4887ERxBl75+n93CsvvHNdFmvZJovMW0+z9xJItGTXrl3m4PFhesPLX7fu8fWe68Dvuuxmknj0sf7qvstEcqIZ+gm+lzr6G4rGY5zXwlT0uXR1uCi1e9U1KZM6Ik/kiBTpaYQHf3t3jZ/6nWmePRxmDcPrANsNLEWerZwMLKuJnOo4CFMBdInZ6lZ4k7qlkrqfAPXXBfdEGnOtPBGlB44bWE544nkHe6VB2VQedUWPA4V7YncVFpQOC9pe/ForK0wFCGMwKVyzO+a//G8d/o2Cz93dsHo8n8pphb+9F88VeaOAQRBjpZSNaQUe+UhmqtNoRRbHGnczM5OxuO3637Vhvv/61970sWaj9pzHWD7XD6Zmtpv+8mO/vX3HRYutxpBmfUwtiAl8G+wV87bXKY5ae0/XaO5JcAuRFuBWwg7xER58+q46P/Pfpnj2SAbuNV53VZoImQWVODsz5PqbSVA/j9xYz1Vh7X1dtp5g4+en7nXen6hRyZ0S9/WkXq+k7GGN9i58cVePu9o7ky6FXHG1eV5mqxU6kvz/2vvycEuKOssTEZl597e/erXveyE7BUhZsgmi2AOI2o5L+9kjLoiKykzb9gg6Mwrjbqtgz4jdMt3TtoWiiIrQLoCCQAHKVlVWUVRR+1vqrXfJJWL+iIiMyOW9WqiiACe+772bNzNv3nvznvzlifPbVswLcMMHR3Hxq+rStHKeQ1Emoy0SpL6wKYsK1LI4d6ioS6C4eysiaIYU4wHFiE8xWCdYvnz54G/uf+prC+fPmvRUT2rBAaB7+kqIcAgVBAiDCYSRq76wCeOMf9PYa6lv/WZyaSRFbt0BDMgJMZycqZgTOMCP7yvhb7/RhiefmQzc1FhyZWndmJpki/foLJxEAc0Dgd3GbEpCzAketNB+8DxcpH6e2Fpb201cirTqsacwYc2NJq7bQKYTlrmgICrz3lZZIKi07CpOhSt5hhA1e7WiZOADxy0I8NkrRyEEcEfakucOjngnorLglYgTEcBVk2dmZ/xo9VIAEcyElIchOtsKWHXcEkzvaZ/y3NKpNpZqc1r9o+R9v39m3oTnjqFUaMBzfbhOmLHeMf+2eLZtqVnCchtPpQ1uSiIQKjn3T39Xwif+vg1PbvXywY2U9abpWBOdwGDFnCBpvTOUJDFhTIE5DXak2p0Ts848PTDE7YQHCaPktmS2j06GSPaytPM3IdJ8GykubnP1lLqS6sMZ9wESFELldWpLHvkEr1gQ4IarRnHRWXXJxye15GGuJRfKYgdCWvRAez1hPJ8BJ2gKgokImIgEGkGAMBrHB99YnpjeHb5vWt+c1lTnd0oLvmdvP3dLKx469WQ+Wmw+UBG8DhqU4MOTQjtnJnUItsPH5FcSSyWJrXhMS7iRA0kEwjgEI/j5A0Vc89U2PL11Khd8EtyUGIeOLQdm47yT1jvX0QP9nUgK7CRh5TWUY8BPxltS61IsxNpAYnOdDqVNTjotPm5fDNw6hMrjJLGVt604QHSNQ8XFpRBNFX2WhJjo9g2Kk1NApTJKdw3xQ6yaH+DzHxqFEAR33V9ElDabgqtQZWY+aHzXVS1HLA+ogJbZlVIClVzBBRD5oEEdZZfj7Fe+fvT04xc81D+0k0+F4Skt+PS+GZg5rWNgR394+R1/eE3wwFMBSsUWKIuSMRhAPME0YbBGDtQSICMWF7ecOExZbsEIfvlwAR/9Uhue3qbBrToTkPTkUnMOk6Fjx3kne1pmARw7dpC15EmQZ9fFXzm1n73+UIdI/cXrrZUZBycszRuGNtr1C42L37LituXOUVcSCRI8+ShUJpDQsSw+wcp5Ab589QjOPq0JZltyHuKAvFwFmHABhJBWPBLGNsTfl3Og1cLqpfvwrU8tCzprzcsJ6xnwSrOnPK9TApyQIu5Z/yzc8vE7B1tnPXP3YzMBNNVslsb6q/4wNq82Wnh6ghllaAplHMIhuOvBAq76fDs2bfMQl5kik0wqocGOJDVBOjvH9l7mWe/JKEu27FouoG3gp68As8sBwZ3nvo89lkjzba2H2xo5DLBhAZabyWcMetgyIhLZPyLWyW0Ko+urpLRzJR8Kn2Dp3ABf//gIzlvdBEvo5DrUlufIh0ZGBBexs0qfCkoEXCKkcAYO8DredmEBb7zo+GdWLl++k/MN6Ky5U57bKQEOAJQy0PpPt609rvmei88+Fb99soLhsRJ8v4AgdBBxeRuTMpvIqiQ0GcfNLO7NCAfzBLhD8O8PFfCRL7Zj03MeRC7nTllxmgQ3I/n1vA+YdhaH/GYxmjvZTFnyJHiTVb/k9snhLTIL6qllxm0KYt5BGODzFE2BZbWtCyNduNOAnCasua2iiNi7qcHODDePAS+dQqJFsHROgK98dATnrG6CRlwGa4sprDm3+bmx5DrMxSVAmQEdjkBvReCExS1MYC3ufrD0nn9cd+82Sqec1QI4AAcHgFedPBeNxgSKxfLudT/tuPfOu4df9YbT9mP+DNnf3XMDgEaquLmwpD9bKYkUdYkUF1frCwLbBx3c/5iH675Vw6ZtHoQ3hcatrTY1gVQxNQEy2TmT0hTomG+RA/jkRRCj2PJmxkU1bbpiXRwkdYvNXgj5YI8tuTqQsPh4LImnODiIJRsSxbUTXByx9i1BLYwLn2ruTlSnBymzmhAAori6LiPCQZhRXSBXAVDGI+BYPi/A1z46gmv/geP3jxawfRCAl3MlC25+03gbAwSTFyORsSclR6DoCMzoAt7xunl47YWn3Ns1e+3uVqMBQsoHBPgBLTgAlEoVPPbIw5tXzG372mXnHY96w8V4w0EUqbL+yhLaMdzGE2nKqUl6Eko+XhDYtMvFZ75Zw4c+346N2w8AblsWVBM6FgNbWCUfkmWP7eAqDcqDUU8y1j43zkR/9xSMk3LLlPDOOHtSUEhPRhPW2lJKElQFSKopurcPzMVgu/C1Ji6ERU14qkKWFaui41T4JJZ82dwAf3/NCP7rlaNYMisAWrYlj1KufTuxWe4XWVbcoQKVAoeHCNw5BSP1nq898dj6zZXygcENHIQF12Px4rkoltoeqhQnbttd2nmJaG6UPx0RBtBWtntSPeFyrqzVlQKweZeDz9xYw613ldCMKFA4ELjtuoLyuk+02SY50YLIqiSTrUuGvxqgxqtzfPCGuhAc0EQfwsiAOuOZhG5jkwzSIhrYKjIwYf1JzHFN5CEspcV4PClMErNKxVGvkcBXMa3JMFmtZRCAhhx9XRHe/voGCh7w6W/UsGWX+sEIrBcKqMpCkJGIkoEL4iLQWjyAIIgwb8FCzJ63+Lbe6fMfcodHD/pcHjTAa+19GBt+btu8has/3BhezxoovIHRJhwnhOOEcJ1AdjJjYRxABe3w0VGIFKAuwZadDq67qYZb7y6jCXLI4NaSoJxQWrEl1KIjSNEN/UiR4NVp/q17OOYlGGc4eZqiEAvwB4vkzK6SYyessgXm9KPcbk1AtYPHpiD6WByqt7yiLBrUOhg7dhLp+BQuXfjUuPAp1VKh9dltkKv4cNHkKDgcl59XB4TAdTe24ZldLuBqUENyOaJsNYkUZZEHD+CiQQlKoUBXrYxqreP2884+48Nbtu7cvnjh1MqJPQ6KosQg75iDgd2/294767QnKm3T4bAWyoUWqqUGKqUmSsUGCoUWPM8HcwJp1bXmTQFaIHh2n4Nrb6xh3S/KaAqqkhXS4KbJP9NLBZQg2WIbSett51jGOaIpcOoCd3o/ZLZnwZ2hJTYk02T7EK255t4JHp56TDiELGpib89UpxXJ4yUVFoumpCrV6mKeRnmx09yoRWeSzqCYrmgZMSQoQeDNr2ngug+MYl5fIEVtm6LwEIhCkCAA8VsgrSZIawKi2ULdFxhtcsydMwMXnHPqE3fc9ftDAjdwCBZcj1J1JgrleTcEE08vdMMtbxkZGcTGHZHSxuUXLhU45s4O0VERIJG0MD4neOQPHm5cV8b37yrDJyrz92DAbaGGQceZZGsKpmt6Z1LRYECcifu2ly2QJyxyynqnJ5o2xg91xEBMWGytmFjgJpaEqHk4EQl+LdQOcf94IC6/ECfvCAIWO4t08jJkYU2rxoqAbDxLoSpJEYu3x+EaVB1HgIOZiScFopCj4Ai85fwGwIFvrqvg0Q0uWiq4m3CCjjLHnNkhygV1dyEUoGPY1l9BW3EOViyb/73z1p5ww9Obdh7yeT0s5ti//QfomTWr/I3/ffOdt98zsObhPzLpwQKHCDnaayHOWd3EVW+awEnLAjQigltuL+FTN1UxPOYgAEGyTncqrsSmJbE8CJNbqax3nMxAU55Lq+6J6TFpSYj6ObUuBApQ5e7XNwy7fyW1lpmOaVEeVEaJeU51P0yZd0iI1RtTbdc9Q+P3VacjLuGsS+Ix+/MK9RyJUnjM2j/ZuCtZ4mOy9jDJ7aYIk54vmRALYSJCqR1XxOP1jCqVDOlAOpkNFoBgZJzh726s4p9/UkYjAk5cFuCDb6rj3NVNtFcAHkqFJgDBw09W8NSORfeVOj54YRQ+V//Iu197yFg9ZAsOAL1zL8O6nz9SnzbnCn/bvh9ikA/IS4UHgGhhZL+P797G8PQmhq9cM4ZHNzv45E1VDI8y86smwEyQy8GnALdjS39I0pJEzElCFkypI7D2SVERWyI0VtuONUmybd186mBNiDC0V63I7isS65RsqIx6nsve8PCc0Fqi09gsGqOpCgcIVXxcfRaqzL2RBKX2SCG5uSTjiDk3pTIxgUGu03cOcHlBCx7BoUBvO8fnrhwHpcAfNjv48jVjWL2ihajOEIYuQngIhQMnJDh9xSxc8Jr/6IMM173qoYP7sAEOAOeevgQR5w++5eJTz7zp3+4tjTVDtCIXUShnxcILMTTE8OjTLn5wn4exYSZRarnYzYxvCknQnlQSa1JJs4kMSQkw2ziLwOLeaZBP8ZjLxYkB/VR4JpNuSYEZaZBa6/Xz1Lb4IrCiB/WFIFuNGO8mEbrTWVZZka9VWfrQWrpsT0g5l8ehxoGEmN8rTRw0A3JbbJEVtzioSj5ua+O49JwW4ALdXRHgy8KgLb+Ill9SDsQSKr3nNOAe/2DcJ/CFBHhXZw37Ryc++deXrxEbN269+oFH/lSsOy4GuYcobOCMVS1ce8UIXnVCgJnTIzy+wcO+CSfLsafUu+VJyovtpiknTqJwj6WoZEJhrWUbd7FrPq2MIMdlnz4ZuZPMg2d/WlDIVVVi+S8NbA1k+2UmzFaI1GvToFaKSuzoobIERWzZCSzOLTm73ImDQnVWBgEVErYccjvRFl3/eADABShlECICgcDAKMXX15Xw7w8UsHUrw7VXjGH1MoIoKmC8Xka9SVHtWNFsm3bhVxhjf8fcKg53HNjXOcW44XOfFXOWnnVve8VlJeafOT42zsabEU5ZMoQb3j+E807z4TKOri6Ohza42LLdg9CJwnbHhQy4JUq05db1BJ2EO97w6EzEoN2h2JIOE1w8jg3Xy8SKF7eEG2qt17UaFb/Wr5PHVxnrREbCmcZKphCmnd+Z+aNZWqX3z8aum2NQO8IRSK0XSPeVzL1Lxcup6ElLLsrc0dT+aiFB3UhiJ7VWBeLBEfjNQ0Xc+L0ahidcbNlZwKYdHpbNi9BVLWLvQAd8LPQrbfNuCBq7/ltb70nh88HoYVtwPWpF3587ved6R9R9j4595nU9u+nrXtnCqcs8tCYoKPXRVuOYPY3LyqeYhG/b4FYnzITAmrjuTLoZLIeNAneetzLtuUz/aJNm8wA5Fj+HeNhcPbNximFZ7cnCaBO0JIeixJZZxwgIAi44CDGlJ4jN2+PXWTwdyqoraiNptrDiWrQiQ0EFjy07IL2koFTRcQ5wmtTLKVThT2ntd+yjGB1lQMEBSAH3Pd2Oq2/qwEUnAStn9/B58+Z/JsScL+0bGvXxPMfhkxs13vOuN6FWpo3TTl5+26UXnSLWrKpgTncHRsfb0PRLiLgHoWs4xsBOWW+aBTezwM2I6cTAIGLw210ZtJs+XrbBCpFvNXNADZj1tgVDbJnyKU56+eAJSnbYcd7JbPs4pyYGa2L/dKRhAtSWWz8xSTWSH4dVAg72dsO3jVZuIg1NOYpkmK0OqRXKlS9UfLnDoKJFPcAro1CqYufOTvx2fQ20cpIodyy9bd9+0Thh9aXPF57P34IDwOKFc1Cs9PxpbH/5A2NDwY39w/fQXhLJLsNOS+KEKn0zXcNEgxs0RoUp+ZByv1s5lfp5IloQU4AXKYusgahv+dZzJLZleXn6WUY8iS8Ea3t6YmhZ7XiBIGPR9WPaitvcmijFI1ZPiD1hTVbFSurmsgobEaqZFUXs1aQcyhMqYoePnjSCaGBzJaSo6SOHrD9OlbzCEXNyEMg65IJJ1YYTgDhg1EXVBWa1A68793Q+e+6iDyxasvhP23fsPRLQfP4WHAAWLV4Oxof9ZStO/nZHTXysVutEFHJwTuFQgq3Punjw6SIixwGoi7gRK3Vh5ED5m8VFMpGt351bvAepaEELwLkTzJQFTwDSphmTbLMBnQmyyiwf/BBTrU9YcQu8Oevkc2OVbQ+pqbFiLLf2isbHyUl3S5diNkFcNLFfbOW5KegZRTLNLYwcRJELEThYvSLAggWBlBAJBaIIPT3daEXux155xmnf3r5jwF+1csWRgOaRATgATJ+1GM2JXdHcpf9hS9/cc8fcQgeEiMCFwI/vK2HzsyUIpwCwAsA8BW6VCU+SfHsy1SQT2x3/iSnoR046moZimpvDWFtbPUla/KTVzmMqhzxE7mL8RPNfxDKgTUnMvgkOr55IXVsD2QaxfaHYILcoS4rCpKmNnZ1vcj7thAgNcgdR6CCMXASBh8XzBN6wZkImzkQRervb8ZZL1o69968u3rJ1+95o1cqlRwqWRw7gAMCcMghGbm/vO+PKjpkXDzleF57dHeGf7mxDHRXAKYEyD4wyOJTApdJ541GTbmbiuk3hRbtYTyaYygIozQN5zmQxTzkAsqDNs+KJ54md8y3/wQzbEsvnJGOV9X7meSrTR1vrRDwKDPBtioKspRZC93s3x4hjXtT+mTQ3ez2S23QntyhyEIYOgtCFH3ho+UU4URHvuKCJWb0TmNXdhve//byh1513ypV7hiZur1VLRxKSR4aD6+EVOwEAfnP4lkr3BQ4tN274+o/v6N014IIVqvAcGtfoJgAimHpzEAZ0zIotiSMFYfFu2HNSQ1U0rgyQkxdCRj3J49tqhzz+jfTzHKBncD0F0IXI4e/qXCRel8PPYzUlpZPr+JWklVYtQ+Q/y2oLkxih7lomVkW9lYCkIlQSaZMXLV8UX5ycIg53jalRkgIRwhFQBxFn6Guv4+o3FzDKXt3/7jee9V/qzeCW45bMPJJwBHCEAa6HV+yAEHu+A+88Grj1z5WKj/VWCOBRHkfvRcJqdwH9w1iBUzAUIy/9LAb8pBZbZGhJ2urraWBaQiRptKa4DYHZJ4HPI8FXUiAGQZJ6qPUKq2ZCCcTOIqHOmz5EerJJQGLvpS0RcuU/0AaHExI7f2ScuOWCB4k7LwOqg4P+sLBojCoJp9+LEIGm74HSIi5eu7qfdZ35ib1D9e8smtN1NKD4/Bw9U41Pf/oLcHvPfpSh3F8QjbX1keFS2QUKjipCDy096XOiAZ5MOUtTk0SAVCpy0HbSJB0/1ja9r3bWaMBb+xBigqu008Q8Nw4bc3ERaxuxHDF5Dp5kKbjMpNf6HrG2foBHqPc3+09R7iJH7rTLY9jKaOauBnNXNLq/sCieWo7nCpKmBIGDVuDCDxwEoYNWi4F4i4d6py24pkSe+c6sOaceLRgePYADwC9/+i+44LVv+GNvZ+W5gkcvGN6/v1D2CFxHnoMgUl1zVRwEUrSE6Wg9gjhyzsR757QfiUPHJwF+AsgkBfYc4Mfrc0BNLY8kJQmQU5r0Yk4JcA1CTObJTIPZ3kZS20mSXmmwQx+fWMC0l/VnMN7PyQCOxDGS7dzjR6rsuqAIIwdN30W9UUDLdxAEAoXqwrFCZd6VrRb551lL3ypwFMdRoSiJN2CE17pq36NkZlj2yD9t2/5skVEH/jBQjwgmIlmSS0A2D6AwHjkZjYxMVSpqO3TSoMj7y9vH3gFmOdbEp6AZSd6cJumT7Zc/7F93Mk5u7nDCOrBIUhiLtiS09JiyWD3t9TnW9IRop5HR0gkxr+WavwNSH4fKFoK1U3yRWo0PiIAQFEHoYHCkiDCKMGPm/GahMv0/uV7brWHYmrJoz5EYR1RFyRvXXPVWBK1W1N097dali6a/ffWJi5onLCE4/RUNCDKBRitEEHGEqiBjZP2GNjgpyQdtxmuZkgUTLnR7ffpYsLCZeC+S2Rf2fimwHw4NF1NsSGvdsHh2Iqgq3icp52Xew06KgJEIzfGSEqF+jBUaAAnp0DpzuqqCwyK4boByqQFCR3D/kwEeeIIB7qImK8x6+7Te7lsbTT9acvxbjzb8jj7AAeDqK9+KkjMS/W7j4h+cdNycd77+3Bn180/tx8y2AaAxBoRNgIeyor/1wfIzdLKTzgz4gSmtdzy5VO9lW/S0Vp4Acco6J1aT5PZDRbje3Qas3pbaNev8geXGTzh20qCfxA2fkAWRXIeURJjuEKHe1/RdisBYCM9toa0yjsHxcfzsoRb6GzPqAel756lnrfnBU5v9aOXJf/lCQO/ocnB7/OiH63DzFy/C/3nwX55aMe/ErXeuL5y/dedQkZEJ1FtUkhHKQCmRujiV4QqOnf1iVaaisCL+LPAn+DbJn2TaEX3JfZORfiYrJ7mN2vybkJi35/PtfA5+wD9kJ555Xtjc41nr4wlmbGVTy4l9ENM0tWjdocwVm74b6vY1sklCCM8N4Dot7B0JMNEq4BVLF49UOua+t9Dx0+89cF8bLr3sTS8U7J6fA+5wxr/+8Fs4ccEcDI7571w4Y+uX7nvonu6PfJlj52gX4FXgOQ7aHIEyEygwAZeZSWaac2crxYpJJ5ZpEOdOMAlJXAyJ/dWENw6tjS8eawJKrdDZFOjN6/Xz5Ock9gRab6NSRbI/YxwtSa2L3VpmcTSl6WtKrXVmf7shL5LLuokBtZYTzcasdjZM9lJ1nRCe66Pg+SgX6tg73MD131+CSts5g6cv6/hovVn4bqX8HN582ftfULwd9Ulmevzlpe8FAAix77vA2c75le7r5/zrr3p37vMBFAGHyUhClXDv6B9Z/cBAyoLFz0WuxUvIXvZfahtSx5SPxKzXWbv2mGwWeTC7TebMSe0jUpRJZ63p1oLpY1tZbSawSn302CckAEGsaldE1VCxJvjxBBJQHSDUBBYytlumxEkiRKmAI+Q+JS9AwWvB571YtfKy/ktfe8HfBEHw3YWzO48usCYZLzjA9SBkGgaHx2+m5TeSv3h91+fKzg96tw7sx66RaShQggIT8HTjVjWT1OHOeV7DPP4dr7foRBrI5jZsbttIXRz2Ld58/tT3eb7nA1mM6/eIebMGO0nuq504gHH8aEDbOZqAuSiMuoIEjxYKqAJG79ZeSXuiygEZFw5955Dlsf+0w4fwpmPlysv7rzr1gk9AiJsJOzbgBl6gSeZko7ujimZAvv2uS151zZeuff3+Ky7vQJkRlByOoitQcAHPFXAdAVfp4On0vMkmhRmuCusxZ+KYVVeSkCbachKSb5GJfbEc3BAivcKsz1VWrO2JffMmpekIRGFWZyebZjl5CJI4LucEUUQRhhRBSOEHDL7voOW7aPoymOpXjy/GlrG/3o/KRdeA8G8TVjssbBypccwsuB4zesoQYuKWvq41Q3sHdi9611/U/uevf32/W2QUrmscK0IAYaS6+aaOkZAGkUNJciiLZbQPTfwQ2deRvAPFn+3QzkfSMmNSCpK14uZOpHMpiZ2Fr/XthBXPLscXAiEgOZdZxAmiSLcIl3zeDyK0AgedfecGnd38P8+f++otz+yq3rFi/gs+xcuMYw5wACCkwtc/tvH2E1a9zRNiY72vnXzzdw88Rur1JnUd6e4OuIj7JHIVQE/1rTbDx80EzvBskrH2k9KajHJBckBtPeb+juQgrhbz+UXuYTQokQC0kQpJTCXiZAdY9AQSuOm4FA1oJLLpTeBV2nsau+BVrXFprXVNmAiOW+ZdM44XTnnJB9/2xiX/ODG2w+/oPTLx3M93vCgADgCnnLgMj/7hKX/hvL5beOj/utVovGnHrj3/fc+e3aiVXfgBwUhdoBkozqfUhZibk9QPkwKokdWQWIZ9ERBjBdNgy5u05g9i/T/IkSHf2c2xMSYGsImXp7yaied6u5pEysApkYhITJR6A6BL0WvVhVEBOAKcE4xOFNFsUZQKPnqnTUdbW9+nKu0Lv++VZj43NDjg9816cYAbeBEBHABOOmElADRuunndphWrVl7f1VnxZvW1f7IxtptVSmPY/GATQ40qagUBj6luXDa4pwR5/gTOVlES23Jec8ChP8thfHeRb8KnfB8TOZi0znqjoTPG0uvXm5BWNfnUYbTWBFS+VIAxAZeFKBV9NIMhrN8wAz0dnTh+5YKorav7fyycO/363Xv3RQuXrTmCaDgy40UFcD3e9+7L8Z1bbo2uet/br927b8jZsvG3H6vv/2Xhns1jeHavQMmRnYxBhbHAOcBOOHWmeL9EcFHGdOPAwBOTvPYQRizjpWJJ8t4rLoZP5L0mjh2J+XeavxuKkuA5nIATnT2fdPND6MArAUZkl2vP8dE/LrBjtB2nnHZGa825a75Ya+u69tHf/wgnnX7Z0YLD8xrHfhYwxRgZHUdbrQURss89vnHTmX/1dz+jNPDP7O8fcqoFhqInKw+4TMBhVp0UK2IwoYNb1CTp6UyGwyZDWY2DR/P4TJhswolj1iU9oCTlGMr3ttqOHkYN/006hUwih65baG8zNQ65dWyR5NPxOTFOIMZMzUOHCbhOBM+J4LkBGGuhXO4MK1Xcv0+8i/d0L79/vM4/MXOai0rl8AvzHO3xoga4PT5/049QLLi1wf0T//Dok8+++ZlteyiCOmolCs8xoHAYwGJP4iRfOgWseP9UjLgGPIgK6lIHnAzg8jFZeDPXzW99hqSX8sAAt93jyQvFFDYyHkweF+c0jjLjTNDKuM2zHaa8lEzAYRGKbhPVqoNSdQYvVpf8G3XbrhDcH5u+4M3HGhIHNV4yAAeAR57YirZqseeJP+368E/uXn9cOLH/kk2btsB1GRxGZdwKk3HkTIcZQmWhWNqxDW5Z6dVY12TsinUH0M+RpD5pC04JSbnv1b4wADfHSFpuNgnA88Ctv8dkAJd3Mq6q1gp1ISnPpBV4pQejAGMcLuNgTAAighAhps+cj+6u0m3t0854wi3O/aqIGgOl9iXHGgoHPV5SANdj4+btaKtV5/3h8Q1feezxTZf89vdPYHBoFJUiQ6nAZJlhBTIIKS+GqiWjZJqmhLF9QcSl2YihLIBNbZJcnZIsRdEgt8Gdm21j30VsakKzAGfWRRD/aMRYX5uqaIA7TMeKyPgURoVKRCDyfIQUESfx/IFSAcfhcFkIz/HhFdrR3vsK9PQtuW3ajKUfabUmtrV1zD3WP/0hj5ckwAGgf2AArusufvKpZ44fHJ748MOPbVi74emN8Jtj8DwnBisABKFAvQUEkaqKRQGHEklnmFxmzIA8oaOnThdJWXRKbctPrWNYlhy2xGgsuNbyE/XI9V1FU42cmoXxJDH+HFYUpbLeDuNwmAI6k+BlqraSH1LUmwx+QJJ3BRGgq7OMufMXo7N3+T2C1L7a0b3wj5yHm2ttncf6Jz+s8aJUUQ5m9Pb0AMBmIcRmAE80W8GMV52+4lsbNmxc/PD6PzLfD+A4FOWig3qLo380QhASuExIzk6MoGAsaTJiUA9hZRroenxSk7YkCWLCU+MLIQVue8hYDsT1uJlWRiwVJSt1Gnkljv3WgVPEfB6itG75UQ2nLjgcrhvBDSgGhssYbzCUChwui0CZi7kLTozmzVu82XMb750x76zdADbl1jx/CY2XLMD1UD/ApsHBoU1RFF1YqxZnnXH6Ket+fudv2vbs2VXprARYvqiOW37FsXNbAb1VZSGV6Kstemw5maEUAGJZTgb3CzMxA0B12IBFHcwFY1OTJEh0/0uuuLngKi2MWI4W28ITW/0QcYdiO8uHABBUXmyE6JQyEdMXhwl4boTOtjqefC7C7Q86WDXTw9IFFcyYMX1i6ao1o2EYXd49bfZOStm2lzqw9XjJA1yP7u4ucMG39fb2PDc6NrYqDPkZAP5XfXhLOK16f9e6B0ZqfkQQRBxOKOAyGmvJlBI4TNIUm9oAEkQR16UTkHCuECrb9VHLjx4rJVbcuHWtgHMr3kPNBwCAcONVJIpfx10pFFXRn4foeoEccas9QlSLeKYoEBVwhKEfsqV6BM/h4CKCj46x4044fujMU5c4jkPe0zVt/gOlUnVEAJy+TMANvIwADkDWuQP4tu0798+ZPfPO0dGxpb/44Z2tD3386o+fvOrRd4T+1kAE48t5GBYbjQk4lKAIqb64DlU9cExH47hQvAAiwcFVPIy2+iBQnYBt600Sykwc8gp5LMBMdjWYNbEmBMrymomjlO6U1AfZQUE2aZWBT1yYIj2EqFgdIa24y+SbMhqi4JXAPKfJWe+G006c76485dW3fOoTX/jCea8+uVCpVJtha5yT8rGN/Dsa4+VzqU4y9u3djILnkK/f8gAqBZd1d1S+OTbeXPr0pq1rBvv3MJf4KJcIHBKBOQyU0Fj7lq08BFqhQKMZodmSydGUqEmqA7gOgetQeC6F6xA4DpOPzEwedR+ciMsJbxQJcCEsBUPeQRyHwHMA15Fhwp4LeI6A4wg4TDptooig0WKYaBK0AmW1rQApITi44KhVHHS1Az2dDH193VFH94L7KCtt4uHYBwgZi0TlfEAEYuH8Rcf6Jzqq42VlwfPGtL7FgKG24b6B4SuKxULn3r0Dn/3hj+/ydu3cHs2dWTvZ8+gpu3YNYGJiHJ7H4DAWJ9p6HhBGEfYNC3AuvafcAaCstRPTFiJVGfWnu6IJqProgbxowpAjUtXh5WsIAHlhcZUlK2VCCW7P5fAcjoIn7yIjEx5G6468cCKuLp4IniNQKldQrXahVCDrS+XGI93TZrIlrzjXr9S6/jYM/P26vN6fy3jZAzw9pvV0AMB+AO8HgPUP3weArA2C4II9c0Yv91vNZZy3sGP7M/D9AEMjTczuDlAsjuLhzS5ceOiqGscKY7odtrHErgNp3ZnJkQwjqT9HkUDLjxBGwlhvlZ1OiIDLNYdGLPN5jkCxwNFVayESY/jlIy72D7dj4cwCBBxQx8GyJYvR0VZGpVLcGKG0znW8XwDintVr1x7rU35Mx58dwNPjlFPXAMA9A4P771m8FPcKHi4aGxvm48P7eLnavmBxofNvynQ7WmICP3tsEAN7JuBSgTAkqJQcEEjtu+ARMMrgOQIFT/JfxxGKYvB4wrlnIMT+sQhEhRW4DlU0IwKEAKMURY+AUQ7XkRIeEQEoQhTcCRQqDmbMXoRaew2vPG0utu8cuH7vvqGtp59+Bu3p7qJegW0BcGe1+udlqScbL3sOfrhj1+59cF2vY9++vWvHBp6EYPVg/ebOq6kgrym7HECE+373CMbHx1AtUXS0uejpcFEpBIDwQamA5wqUPI5aJUBXWws7hwLcfIeH/gEHXVWBWomg6BG4rmweWy4V0d1ZQncHRXdbhGo5RLlcxZz5J8JzKcqlEI4T3HX3Q60vh37ZPfuVK9E3fcY9vu8P19p6jvUpe1GOP3sLPtmYOWMaAAwD+DEAbHl2Ny6ajQ1RGPVRInjgB3j88U2o1xtgDoPruBCCByedfNJ1jfrExX4QBJ4LFByOrvYmejoaqA63sGRrFZ2DZUxv4+isAp4DNcF03Vqt+pOtW564znU91/MIPFegWKyib/ZxcB0HjApKKNt7yYXYWq7NOtan6CUx/r8FP4LjmY33AwR9A/397c1WS3gugcs4ujua6G5rYM9IC//3V1X0D1XRV+Porgo1KSVwXY/09fWNCCH2Xnj+iy9x4KU6/h/OBxr0wBMIygAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxODozMjowOSswMDowMIxj5G0AAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTg6MzI6MDkrMDA6MDD9PlzRAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 44153839
{'hecke_orbit_code': 22518135609364384, 'n': 1, 'trace_an': 12}
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id: 44153840
{'hecke_orbit_code': 22518135609364384, 'n': 2, 'trace_an': 0}
-
id: 44153841
{'hecke_orbit_code': 22518135609364384, 'n': 3, 'trace_an': 0}
-
id: 44153842
{'hecke_orbit_code': 22518135609364384, 'n': 4, 'trace_an': 0}
-
id: 44153843
{'hecke_orbit_code': 22518135609364384, 'n': 5, 'trace_an': 0}
-
id: 44153844
{'hecke_orbit_code': 22518135609364384, 'n': 6, 'trace_an': 0}
-
id: 44153845
{'hecke_orbit_code': 22518135609364384, 'n': 7, 'trace_an': 0}
-
id: 44153846
{'hecke_orbit_code': 22518135609364384, 'n': 8, 'trace_an': 0}
-
id: 44153847
{'hecke_orbit_code': 22518135609364384, 'n': 9, 'trace_an': -8}
-
id: 44153848
{'hecke_orbit_code': 22518135609364384, 'n': 10, 'trace_an': 0}
-
id: 44153849
{'hecke_orbit_code': 22518135609364384, 'n': 11, 'trace_an': -26}
-
id: 44153850
{'hecke_orbit_code': 22518135609364384, 'n': 12, 'trace_an': 0}
-
id: 44153851
{'hecke_orbit_code': 22518135609364384, 'n': 13, 'trace_an': 0}
-
id: 44153852
{'hecke_orbit_code': 22518135609364384, 'n': 14, 'trace_an': 0}
-
id: 44153853
{'hecke_orbit_code': 22518135609364384, 'n': 15, 'trace_an': 0}
-
id: 44153854
{'hecke_orbit_code': 22518135609364384, 'n': 16, 'trace_an': 0}
-
id: 44153855
{'hecke_orbit_code': 22518135609364384, 'n': 17, 'trace_an': 0}
-
id: 44153856
{'hecke_orbit_code': 22518135609364384, 'n': 18, 'trace_an': 0}
-
id: 44153857
{'hecke_orbit_code': 22518135609364384, 'n': 19, 'trace_an': 18}
-
id: 44153858
{'hecke_orbit_code': 22518135609364384, 'n': 20, 'trace_an': 0}
-
id: 44153859
{'hecke_orbit_code': 22518135609364384, 'n': 21, 'trace_an': 0}
-
id: 44153860
{'hecke_orbit_code': 22518135609364384, 'n': 22, 'trace_an': 0}
-
id: 44153861
{'hecke_orbit_code': 22518135609364384, 'n': 23, 'trace_an': 0}
-
id: 44153862
{'hecke_orbit_code': 22518135609364384, 'n': 24, 'trace_an': 0}
-
id: 44153863
{'hecke_orbit_code': 22518135609364384, 'n': 25, 'trace_an': 0}
-
id: 44153864
{'hecke_orbit_code': 22518135609364384, 'n': 26, 'trace_an': 0}
-
id: 44153865
{'hecke_orbit_code': 22518135609364384, 'n': 27, 'trace_an': 0}
-
id: 44153866
{'hecke_orbit_code': 22518135609364384, 'n': 28, 'trace_an': 0}
-
id: 44153867
{'hecke_orbit_code': 22518135609364384, 'n': 29, 'trace_an': -4}
-
id: 44153868
{'hecke_orbit_code': 22518135609364384, 'n': 30, 'trace_an': 0}
-
id: 44153869
{'hecke_orbit_code': 22518135609364384, 'n': 31, 'trace_an': -24}
-
id: 44153870
{'hecke_orbit_code': 22518135609364384, 'n': 32, 'trace_an': 0}
-
id: 44153871
{'hecke_orbit_code': 22518135609364384, 'n': 33, 'trace_an': 0}
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