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mf_newforms • Show schema
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{'Nk2': 2816, 'analytic_conductor': 5.621468302298139, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 5, 'char_parity': 1, 'char_values': [704, 5, [639, 133, 321], [5, 5, 1]], 'cm_discs': [], 'conrey_index': 257, 'dim': 4, 'field_disc': 125, 'field_disc_factorization': [[5, 3]], 'field_poly': [1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 10, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, -4, 6, 1, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511623549387456, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 3, 1, 5, 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': False, 'label': '704.2.m.d', 'level': 704, 'level_is_powerful': False, '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, 11], 'level_radical': 22, 'minimal_twist': '44.2.e.a', 'nf_label': '4.0.125.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\zeta_{10}-\\zeta_{10}^{2}-\\zeta_{10}^{3})q^{3}+(-1+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '704.2.m', 'trace_display': [0, -1, -3, 7], 'trace_hash': 130523097487748743, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.838', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '42.893', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4.160', 'prec': 17}, {'__RealLiteral__': 0, 'data': '842.746', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [4, 0, -1, 0, -3, 0, 7, 0, -8, 0, -4, 0, 1, 0, -3, 0, -1, 0, 7, 0, -18, 0, -8, 0, 6, 0, 5, 0, 5, 0, 5, 0, -19, 0, -9, 0, 9, 0, -9, 0, -5, 0, 0, 0, 16, 0, 5, 0, -12, 0, -1, 0, -11, 0, -7, 0, 17, 0, 17, 0, 1, 0, -4, 0, -2, 0, 16, 0, -8, 0, -5, 0, 19, 0, -9, 0, -37, 0, -3, 0, -16, 0, -31, 0, 7, 0, 50, 0, -16, 0, -27, 0, -5, 0, 1, 0, 27, 0, 8, 0, 33, 0, 3, 0, 26, 0, -21, 0, 32, 0, -6, 0, 15, 0, -4, 0, -27, 0, -23, 0, 4, 0, 35, 0, -17, 0, -1, 0, 0, 0, 56, 0, 46, 0, 0, 0, -29, 0, 21, 0, -5, 0, -1, 0, 25, 0, -12, 0, 1, 0, -35, 0, -8, 0, -10, 0, -15, 0, 19, 0, -24, 0, -21, 0, 23, 0, 33, 0, -18, 0, -19, 0, 33, 0, 8, 0, 2, 0, -1, 0, -3, 0, 1, 0, -3, 0, -29, 0, 10, 0, -21, 0, 35, 0, 8, 0, -24, 0, -32, 0, -24, 0, 65, 0, 15, 0, -4, 0, 13, 0, -5, 0, -5, 0, 0, 0, 25, 0, 14, 0, -54, 0, -23, 0, 23, 0, -31, 0, 37, 0, -32, 0, -1, 0, -5, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, -1, -1, -1], [0, 0, 0, 0], [-1, 0, -1, 0], [0, 0, 0, 0], [3, -3, 0, -2], [0, 0, 0, 0], [-2, -1, 1, 2], [0, 0, 0, 0], [1, -2, 2, -4], [0, 0, 0, 0], [3, -4, 4, -3], [0, 0, 0, 0], [-2, 2, 0, 3], [0, 0, 0, 0], [1, -4, 1, 0], [0, 0, 0, 0], [0, 3, -1, 3], [0, 0, 0, 0], [-7, 0, -5, 5], [0, 0, 0, 0], [0, 0, 4, -4], [0, 0, 0, 0], [0, 1, -4, 1], [0, 0, 0, 0], [2, -1, 2, 0], [0, 0, 0, 0], [-1, 1, 0, 8], [0, 0, 0, 0], [-1, 4, -4, 1], [0, 0, 0, 0], [-6, -1, -3, 3], [0, 0, 0, 0], [-5, 3, -3, 5], [0, 0, 0, 0], [3, -3, 0, 0], [0, 0, 0, 0], [-2, -3, -2, 0], [0, 0, 0, 0], [0, 1, 7, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [5, 0, 2, -2], [0, 0, 0, 0], [0, 1, -3, 1], [0, 0, 0, 0], [-3, -3, -3, 0], [0, 0, 0, 0], [-2, 2, 0, 5], [0, 0, 0, 0], [-1, -4, 4, 1], [0, 0, 0, 0], [-3, 0, -1, 4], [0, 0, 0, 0], [7, -2, 2, -7], [0, 0, 0, 0], [5, -5, 0, 2], [0, 0, 0, 0], [-1, 4, -1, 0], [0, 0, 0, 0], [0, 3, 10, 3], [0, 0, 0, 0], [-2, 0, -3, 3], [0, 0, 0, 0], [8, 0, 8, -8], [0, 0, 0, 0], [0, -4, 0, -4], [0, 0, 0, 0], [1, -8, 1, 0], [0, 0, 0, 0], [5, -5, 0, 4], [0, 0, 0, 0], [-5, 3, -3, 5], [0, 0, 0, 0], [-9, -1, -4, -4], [0, 0, 0, 0], [-9, 12, -12, 9], [0, 0, 0, 0], [-6, 6, 0, 2], [0, 0, 0, 0], [-13, 8, -13, 0], [0, 0, 0, 0], [0, 3, -1, 3], [0, 0, 0, 0], [17, 0, 9, -9], [0, 0, 0, 0], [-2, 0, 4, -4], [0, 0, 0, 0], [0, -10, 7, -10], [0, 0, 0, 0], [-2, 1, -2, 0], [0, 0, 0, 0], [2, -2, 0, -5], [0, 0, 0, 0], [9, 0, 0, -9], [0, 0, 0, 0], [-4, 13, -3, 8], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, -1, -1, -1], [-1, 0, -1, 0], [3, -3, 0, -2], [1, -2, 2, -4], [3, -4, 4, -3], [1, -4, 1, 0], [0, 3, -1, 3], [0, 0, 4, -4], [-1, 1, 0, 8], [-1, 4, -4, 1], [3, -3, 0, 0], [0, 1, 7, 1], [0, 0, 0, 0], [0, 1, -3, 1], [-1, -4, 4, 1], [5, -5, 0, 2], [-1, 4, -1, 0], [8, 0, 8, -8], [1, -8, 1, 0], [5, -5, 0, 4], [-9, 12, -12, 9], [-13, 8, -13, 0], [-2, 0, 4, -4], [9, 0, 0, -9], [11, 0, 0, -11], [3, -3, 0, -6], [0, -9, 3, -9], [10, 0, 4, -4], [0, 9, 3, 9], [1, -4, 1, 0], [12, 0, -4, 4], [-11, 4, -11, 0], [9, -9, 0, -6], [-1, 4, -1, 0], [0, -15, 5, -15], [0, -9, -3, -9], [-7, 0, 0, 7], [11, 0, 0, -11], [0, 11, -11, 11], [0, -1, -1, -1], [-1, 0, -1, 0], [-13, 13, 0, 18], [9, 8, 9, 0], [-2, 0, 8, -8], [-4, 0, 8, -8], [-15, 20, -20, 15], [0, -3, 17, -3], [-7, 7, 0, -10], [7, 8, -8, -7], [-3, 4, -4, 3], [0, 9, -3, 9], [10, 0, 4, -4], [-19, 8, -8, 19], [5, -5, 0, 8], [4, 0, -16, 16], [-5, -16, -5, 0], [15, -15, 0, -10], [-17, 8, -8, 17], [-7, -16, -7, 0], [0, -9, 3, -9], [-1, 1, 0, 8], [12, 0, -4, 4], [0, -11, 1, -11], [17, -20, 17, 0], [-9, 0, 0, 9], [-12, 0, 0, 0], [13, -13, 0, -16], [11, 0, 11, 0], [0, 7, 5, 7], [-10, 0, -8, 8], [-9, 9, 0, 6], [3, -3, 0, 22], [14, 0, -12, 12], [3, -8, 3, 0], [23, -28, 28, -23], [11, -11, 0, -20], [-18, 0, -24, 24], [-19, 24, -19, 0], [9, -12, 12, -9], [-12, 0, 12, -12], [0, 15, -15, 15], [-21, 28, -28, 21], [25, -25, 0, -4], [8, 0, 12, -12], [0, 15, -21, 15], [9, 0, 0, -9], [-3, 12, -3, 0], [14, 0, 32, -32], [12, 0, 0, 0], [7, -24, 7, 0], [-7, -16, -7, 0], [0, 13, -3, 13], [9, -9, 0, -6], [-15, 15, 0, 14], [0, 17, 9, 17], [0, 27, -15, 27], [-7, 7, 0, -12], [-25, 12, -25, 0], [-1, 16, -16, 1], [0, 7, 27, 7], [19, -19, 0, -20], [5, 8, -8, -5], [0, 29, -17, 29], [12, 0, -4, 4], [5, 28, 5, 0], [-3, 3, 0, 6], [30, 0, 12, -12], [21, 12, 21, 0], [9, -9, 0, -28], [27, -36, 36, -27], [0, -9, 25, -9], [-10, 0, 4, -4], [0, 7, 11, 7], [3, -3, 0, -22], [0, 5, 19, 5], [15, -12, 15, 0], [-5, 24, -24, 5], [7, -7, 0, 12], [28, 0, 20, -20], [18, 0, 20, -20], [-35, 32, -32, 35], [-17, 24, -17, 0], [4, 0, -8, 8], [21, -16, 16, -21], [0, -21, -15, -21], [7, 12, 7, 0], [15, -15, 0, -30], [-32, 0, 0, 0], [-9, 9, 0, 28], [-7, -20, 20, 7], [17, -24, 17, 0], [0, 5, -15, 5], [15, 4, -4, -15], [1, 28, -28, -1], [30, 0, 12, -12], [0, 7, 17, 7], [7, -28, 7, 0], [11, -4, 11, 0], [29, -28, 29, 0], [0, -1, -29, -1], [3, -3, 0, -24], [-29, 12, -12, 29], [5, 8, -8, -5], [-37, 37, 0, 12], [0, 1, 1, 1], [11, 0, 11, 0], [-2, 0, 8, -8], [-36, 0, 8, -8], [-23, 12, -23, 0], [0, 7, -39, 7], [6, 0, 16, -16], [0, -21, 39, -21], [-13, 13, 0, -6], [-21, 32, -21, 0], [-9, -8, 8, 9], [9, -36, 9, 0], [5, -28, 5, 0], [9, -12, 12, -9], [-5, 20, -5, 0], [-4, 0, -32, 32], [41, -41, 0, -20], [-44, 0, 0, 0], [0, -5, 15, -5], [5, 20, -20, -5], [15, -15, 0, -30], [-24, 0, 0, 0], [-29, 29, 0, 12]], 'char_orbit_index': 13, 'field_poly': [1, -1, 1, -1, 1], 'hecke_orbit_code': 13511623549387456, 'hecke_ring_character_values': [[639, [1, 0, 0, 0]], [133, [1, 0, 0, 0]], [321, [0, 0, 0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '704.2.m.d', 'level': 704, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2816, 'analytic_conductor': 5.621468302298139, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 5, 'char_parity': 1, 'char_values': [704, 5, [639, 133, 321], [5, 5, 1]], 'conrey_index': 257, 'cusp_dim': 336, 'dim': 88, 'eis_dim': 96, 'eis_new_dim': 16, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 824667275968, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 12, 12], 'label': '704.2.m', 'level': 704, 'level_is_powerful': False, '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, 11], 'level_radical': 22, 'mf_dim': 432, 'mf_new_dim': 104, 'num_forms': 14, 'prim_orbit_index': 3, 'relative_dim': 22, 'sturm_bound': 192, 'trace_bound': 7, 'trace_display': [0, 0, 6, 0], 'traces': [88, 0, 0, 0, 6, 0, 0, 0, -24, 0, 0, 0, 6, 0, 0, 0, -6, 0, 0, 0, 4, 0, 0, 0, -20, 0, 0, 0, -10, 0, 0, 0, -10, 0, 0, 0, 30, 0, 0, 0, -22, 0, 0, 0, -112, 0, 0, 0, -16, 0, 0, 0, 54, 0, 0, 0, -10, 0, 0, 0, 6, 0, 0, 0, 4, 0, 0, 0, 48, 0, 0, 0, -6, 0, 0, 0, 10, 0, 0, 0, -16, 0, 0, 0, 34, 0, 0, 0, -16, 0, 0, 0, 18, 0, 0, 0, -38, 0, 0, 0, 54, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 50, 0, 0, 0, -42, 0, 0, 0, 72, 0, 0, 0, 58, 0, 0, 0, -48, 0, 0, 0, -12, 0, 0, 0, 2, 0, 0, 0, 90, 0, 0, 0, 62, 0, 0, 0, 86, 0, 0, 0, 112, 0, 0, 0, -130, 0, 0, 0, -128, 0, 0, 0, -254, 0, 0, 0, 44, 0, 0, 0, -66, 0, 0, 0, -20, 0, 0, 0, -130, 0, 0, 0, 62, 0, 0, 0, -124, 0, 0, 0, -54, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 178, 0, 0, 0, -10, 0, 0, 0, -126, 0, 0, 0, -42, 0, 0, 0, 236, 0, 0, 0, 18, 0, 0, 0, -170, 0, 0, 0, -6, 0, 0, 0, 90, 0, 0, 0, -48, 0, 0, 0, -146, 0, 0, 0, 22, 0, 0, 0, 120, 0, 0, 0, -54, 0, 0, 0, 4, 0, 0, 0, -28, 0, 0, 0, -2, 0, 0, 0, -108, 0, 0, 0, -138, 0, 0, 0, -150, 0, 0, 0, 20, 0, 0, 0, 4, 0, 0, 0, 54, 0, 0, 0, 150, 0, 0, 0, -16, 0, 0, 0, 14, 0, 0, 0, 100, 0, 0, 0, -54, 0, 0, 0, -50, 0, 0, 0, 134, 0, 0, 0, 96, 0, 0, 0, 108, 0, 0, 0, 276, 0, 0, 0, -46, 0, 0, 0, 242, 0, 0, 0, 32, 0, 0, 0, 150, 0, 0, 0, 0, 0, 0, 0, 356, 0, 0, 0, 88, 0, 0, 0, 10, 0, 0, 0, 114, 0, 0, 0, 336, 0, 0, 0, 78, 0, 0, 0, -254, 0, 0, 0, 70, 0, 0, 0, 190, 0, 0, 0, -72, 0, 0, 0, -400, 0, 0, 0, 10, 0, 0, 0, 256, 0, 0, 0, -22, 0, 0, 0, -238, 0, 0, 0, -52, 0, 0, 0, 198, 0, 0, 0, 82, 0, 0, 0, -230, 0, 0, 0, -22, 0, 0, 0, 232, 0, 0, 0, -76, 0, 0, 0, 12, 0, 0, 0, 106, 0, 0, 0, 282, 0, 0, 0, 34, 0, 0, 0, -64, 0, 0, 0, -88, 0, 0, 0, -64, 0, 0, 0, -264, 0, 0, 0, 94, 0, 0, 0, 142, 0, 0, 0, -180, 0, 0, 0, -18, 0, 0, 0, -110, 0, 0, 0, -10, 0, 0, 0, -158, 0, 0, 0, -252, 0, 0, 0, -322, 0, 0, 0, 414, 0, 0, 0, -302, 0, 0, 0, -94, 0, 0, 0, -318, 0, 0, 0, 24, 0, 0, 0, -558, 0, 0, 0, -178, 0, 0, 0, -98, 0, 0, 0, 108, 0, 0, 0, -496, 0, 0, 0, -26, 0, 0, 0, 38, 0, 0, 0, 150, 0, 0, 0, -302, 0, 0, 0, 2, 0, 0, 0, 468, 0, 0, 0, -102, 0, 0, 0, -254, 0, 0, 0, -142, 0, 0, 0, 50, 0, 0, 0, 64, 0, 0, 0, -336, 0, 0, 0, -102, 0, 0, 0, 254, 0, 0, 0, -162, 0, 0, 0, -162, 0, 0, 0, 48, 0, 0, 0, 232, 0, 0, 0, 232, 0, 0, 0, -254, 0, 0, 0, 294, 0, 0, 0, -16, 0, 0, 0, 42, 0, 0, 0, 400, 0, 0, 0, -298, 0, 0, 0, -18, 0, 0, 0, 164, 0, 0, 0, 240, 0, 0, 0, 292, 0, 0, 0, 130, 0, 0, 0, -262, 0, 0, 0, 14, 0, 0, 0, -52, 0, 0, 0, 402, 0, 0, 0, 110, 0, 0, 0, 740, 0, 0, 0, 126, 0, 0, 0, 150, 0, 0, 0, -180, 0, 0, 0, 558, 0, 0, 0, -176, 0, 0, 0, 258, 0, 0, 0, -58, 0, 0, 0, 376, 0, 0, 0, 42, 0, 0, 0, -266, 0, 0, 0, -280, 0, 0, 0, 170, 0, 0, 0, 110, 0, 0, 0, -124, 0, 0, 0, -98, 0, 0, 0, 262, 0, 0, 0, -54, 0, 0, 0, -234, 0, 0, 0, -80, 0, 0, 0, 390, 0, 0, 0, -354, 0, 0, 0, -230, 0, 0, 0, 46, 0, 0, 0, 328, 0, 0, 0, 228, 0, 0, 0, -178, 0, 0, 0, -344, 0, 0, 0, 576, 0, 0, 0, -102, 0, 0, 0, 116, 0, 0, 0, -104, 0, 0, 0, -234, 0, 0, 0, 302, 0, 0, 0, -10, 0, 0, 0, 10, 0, 0, 0, -604, 0, 0, 0, 108, 0, 0, 0, -120, 0, 0, 0, -18, 0, 0, 0, -242, 0, 0, 0, 288, 0, 0, 0, -326, 0, 0, 0, -226, 0, 0, 0, -638, 0, 0, 0, 146, 0, 0, 0, -218, 0, 0, 0, -416, 0, 0, 0, -948, 0, 0, 0, 358, 0, 0, 0, -134, 0, 0, 0, -144, 0, 0, 0, -708, 0, 0, 0, 78, 0, 0, 0, 46, 0, 0, 0, -330, 0, 0, 0, -432, 0, 0, 0, -104, 0, 0, 0, 216, 0, 0, 0, 138, 0, 0, 0, -590, 0, 0, 0, -54, 0, 0, 0, 262, 0, 0, 0, -344, 0, 0, 0, -542, 0, 0, 0, 58, 0, 0, 0, 560, 0, 0, 0, 64, 0, 0, 0, -582, 0, 0, 0, 172, 0, 0, 0, 314, 0, 0, 0, -54, 0, 0, 0, -640, 0, 0, 0, -132, 0, 0, 0, 496, 0, 0, 0, -80, 0, 0, 0, 438, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 459833
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '44.2.e.a', 'target_level': 44, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 459834
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '44.2.e.a', 'target_level': 44, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '88.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 459835
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '176.2.m.b', 'target_level': 176, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 459836
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '176.2.m.b', 'target_level': 176, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '88.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 459837
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '396.2.j.a', 'target_level': 396, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 459838
{'conductor': 264, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '396.2.j.a', 'target_level': 396, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '264.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 459839
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '484.2.a.b', 'target_level': 484, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '88.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 459840
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '484.2.a.c', 'target_level': 484, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '88.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 459841
{'conductor': 88, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '484.2.e.c', 'target_level': 484, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '88.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 459842
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '484.2.e.c', 'target_level': 484, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '88.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 459843
{'conductor': 88, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '484.2.e.d', 'target_level': 484, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '88.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 459844
{'conductor': 88, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '484.2.e.e', 'target_level': 484, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '88.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 459845
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '704.2.m.d', 'target_level': 704, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 459846
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '704.2.m.d', 'target_level': 704, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 459847
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '704.2.m.e', 'target_level': 704, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 459848
{'conductor': 44, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '704.2.m.e', 'target_level': 704, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '44.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 459849
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1100.2.n.a', 'target_level': 1100, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 459850
{'conductor': 440, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1100.2.n.a', 'target_level': 1100, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '440.bh', 'twisting_char_orbit': 34, 'weight': 2}
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id: 459851
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 54, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1100.2.cb.a', 'target_level': 1100, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 459852
{'conductor': 440, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 54, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1100.2.cb.a', 'target_level': 1100, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '440.bs', 'twisting_char_orbit': 45, 'weight': 2}
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id: 459853
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '1936.2.a.z', 'target_level': 1936, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '88.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 459854
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '1936.2.a.ba', 'target_level': 1936, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '88.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 459855
{'conductor': 264, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '4356.2.a.t', 'target_level': 4356, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '264.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 459856
{'conductor': 264, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '4356.2.a.u', 'target_level': 4356, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '264.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 459857
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '7744.2.a.bo', 'target_level': 7744, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 459858
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '7744.2.a.bp', 'target_level': 7744, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 459859
{'conductor': 44, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 79, 'target_is_minimal': False, 'target_label': '7744.2.a.da', 'target_level': 7744, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '44.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 459860
{'conductor': 44, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '704.2.m.d', 'source_level': 704, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 80, 'target_is_minimal': False, 'target_label': '7744.2.a.db', 'target_level': 7744, 'twist_class_label': '44.2.e.a', 'twist_class_level': 44, 'twisting_char_label': '44.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1227775
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511623549387456, 'p': 2}
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id: 1227776
{'charpoly_factorization': [[[1, -4, 6, 1, 1], 1]], 'hecke_orbit_code': 13511623549387456, 'p': 3}
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id: 1227777
{'charpoly_factorization': [[[1, 2, 4, 3, 1], 1]], 'hecke_orbit_code': 13511623549387456, 'p': 5}
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id: 1227778
{'charpoly_factorization': [[[121, -88, 34, -7, 1], 1]], 'hecke_orbit_code': 13511623549387456, 'p': 7}
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id: 1227779
{'charpoly_factorization': [[[121, 44, 6, 4, 1], 1]], 'hecke_orbit_code': 13511623549387456, 'p': 11}
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id: 1227780
{'charpoly_factorization': [[[121, -66, 16, -1, 1], 1]], 'hecke_orbit_code': 13511623549387456, 'p': 13}
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id: 1227781
{'charpoly_factorization': [[[121, 66, 16, 1, 1], 1]], 'hecke_orbit_code': 13511623549387456, 'p': 17}
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id: 1227782
{'charpoly_factorization': [[[121, -88, 34, -7, 1], 1]], 'hecke_orbit_code': 13511623549387456, 'p': 19}
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id: 1227783
{'charpoly_factorization': [[[-16, 4, 1], 2]], 'hecke_orbit_code': 13511623549387456, 'p': 23}
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id: 1227784
{'charpoly_factorization': [[[3025, -550, 60, -5, 1], 1]], 'hecke_orbit_code': 13511623549387456, 'p': 29}
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id: 1227785
{'charpoly_factorization': [[[25, -50, 40, -5, 1], 1]], 'hecke_orbit_code': 13511623549387456, 'p': 31}
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id: 1227786
{'charpoly_factorization': [[[81, -54, 36, -9, 1], 1]], 'hecke_orbit_code': 13511623549387456, 'p': 37}
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id: 1227787
{'charpoly_factorization': [[[3025, 550, 60, 5, 1], 1]], 'hecke_orbit_code': 13511623549387456, 'p': 41}
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id: 1227788
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511623549387456, 'p': 43}
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id: 1227789
{'charpoly_factorization': [[[25, 0, 10, -5, 1], 1]], 'hecke_orbit_code': 13511623549387456, 'p': 47}
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id: 1227790
{'charpoly_factorization': [[[841, 406, 96, 11, 1], 1]], 'hecke_orbit_code': 13511623549387456, 'p': 53}
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id: 1227791
{'charpoly_factorization': [[[121, -88, 114, -17, 1], 1]], 'hecke_orbit_code': 13511623549387456, 'p': 59}
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id: 1227792
{'charpoly_factorization': [[[121, -66, 16, -1, 1], 1]], 'hecke_orbit_code': 13511623549387456, 'p': 61}
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id: 1227793
{'charpoly_factorization': [[[-64, -8, 1], 2]], 'hecke_orbit_code': 13511623549387456, 'p': 67}
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id: 1227794
{'charpoly_factorization': [[[3025, 550, 60, 5, 1], 1]], 'hecke_orbit_code': 13511623549387456, 'p': 71}
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id: 1227795
{'charpoly_factorization': [[[121, 66, 136, -19, 1], 1]], 'hecke_orbit_code': 13511623549387456, 'p': 73}
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id: 1227796
{'charpoly_factorization': [[[9801, 1782, 144, 3, 1], 1]], 'hecke_orbit_code': 13511623549387456, 'p': 79}
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id: 1227797
{'charpoly_factorization': [[[43681, 7106, 636, 31, 1], 1]], 'hecke_orbit_code': 13511623549387456, 'p': 83}
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id: 1227798
{'charpoly_factorization': [[[-4, 8, 1], 2]], 'hecke_orbit_code': 13511623549387456, 'p': 89}
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id: 1227799
{'charpoly_factorization': [[[6561, -1458, 324, -27, 1], 1]], 'hecke_orbit_code': 13511623549387456, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 13, 'hecke_orbit': 4, 'label': '704.2.m.d', 'level': 704, 'portrait': 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hYIa9g0bZifSlnpBnSHglHisToQbJ0yLHcMJxYUNc9n6yzs3BSxZW7E5rmQrXMhO7dYdm1VXHmBR101OXqizdef9nn0QMKTx2NS1eNNL+3wthdb6mqOA8enOXpGc/p8yrkM3IeWLDddvci/edcqF8xPceb8NOdXayx3PFY6krVeSrdv6I3gwNEl9p3oXvnkgYWXHT119sLjZxY+f+urvyu67wt/9XxD4m91+zvN4KurHUaRRSvefc+jh1/8r37nI/J7XnLkxf/7d5/Si6tbWV6bYnmtwXLHZ7mjWe7ASidlpROzvJZybg0OLws2za/xyz+4zM2XNTi5MMuZ803OLGkWli3nlhJOLaac7yVMz454ybV9XnQF+LJOoAIWVmqcXdKcWxEMQkgSQ803NGspM1MJBjh+LqHbh91bPJr1EGsFCJ/+0LBra8jymgbrpMhaH8IELJaVTsSOzR69oUIoizAh7ZrHrm0j1gaC42c0qdHMtSWtmiDwIEkEg1BybkVydtmysJoQBCPwEm69qs+LrxZsatdZXm1zciHgzBIsLCUsrCScXoHDy5YXXrXEr/zgKlun25w4N8u55TqLqz5LHcnKWspqN2a1m7LSsyz1BCc6sLbS4Xf+jzD5gTcEX9OzP2l0/eqvSWF+ITEetXr7+YbKc97+zjL4ez/4V7zk1hv5Fz/7s7/64b++63///Q/ddckzxzsXHj7dly++ZsCebYYk1VirsBl7YyUgAYEQFi0svoQzy3UePCS5ds8KV1wwolEDT0t8T+H7mmZd0vAkg77H/mM1vvioz/HzId0kZv/JkC1zK7z5Jatce0mPF17R4dhSwtJA0AhGHDlj6XSbXHOxZG2UsveYotXQPHMcLt1uGUUpo9RH65iZFuw7GaB0iicTtAfDUHLzFQOGA8m1l6R0hynHz7S4aKui2YhYCy2bpwes9rv85V3w+NGUJ4+O2L19mesu7zIzG/HGW3t898ste7a2SONpjp6e4vApj5PnDKfOx5w6n3L4vODEWswLLlvkl3+wx5bpaU6em2VhucHims9yR7LaSen0Ytb6Kat9y0ofFgaK1V7MzVcu8VPfuShrHhcunDt5Ua+X3lJrXVRvNGe+9MSDn+C/vecvnm/IbHj7O8ngf/Wxj/OSG3erj3/x2X97+Ni5X3zi6ePq7ErE4lBzbmi4dvcCv/WT57l+T5OF5RmWOw1WOjVWOh4rXc1qD1Y7KavdhJVewlIHTq4KdH3EbVev8D0vj7hoc5O1fpvzK3UWV3yWOoKVjpMIqz1Dd2johpbBKGGuHbNriwEEgWc5dd5DyIDdmxUXbbds3zxgYTXkiYMtbrzU0qiv8vShWVrNiCjymJsxDEdw5a4RH7prmssvSAhDy/yUJE6HtGoBzxwbUfeaXH9ZwpNHIhaWfXbMBVy0DXZtjVAq5tQS+J5FCMvuLQkzLUlvGNAfeHQHHitdxcoaLHcMK52UpU7KuQ4sj1J27ejzPbcvcdsVmprX5uxSm6XVGktrmpWuYLVjWOvFrPZS1vqW5T6c6ykW1hJuvvwcv/GTy1y6s8FKp81Kp05/1MZr7Em92rZfPbV25a/MN46nr3zNW55v6Ky7/Z0C+MEDB6jVavUzZ07teuKpZ9959Njpf//MgVMMQ0F/BKtDwfmB4kwv5oUXL/Aff3KF6y6uc351huW1BqvdGitdj9WuZrULnZ5hrZew2ktY6VoWOoIzfQuiz9te2uGNNxsu3lYjihqsdmqs9X06PcVqX9AbCEahJUosaQpKWgIP6oFlum3ZPBujvRGHz0Y8dSjAJE1ef0uE9tZ4ZO8UF26Dzz6Y8NJrAs53htS0IkljZmcgiT20l7C83OAlN3T57P0tLtoGDx8M8WjwupsNiRjy1OGUo6dqaOmzZUYz0xTUA4HvC5SAxEAUW0YR9AaWtb6hNzCsDQzLfcswTdm9c8AbX9ThbS+OwLRYXpvi/Erd6e2uZrUDa72UTj9hLQP3ygDOdhWL3ZQXXrbAb/zkea7aXWdpdZrVXoNOP6A38FjpCFSwk3pz67/esfvyj+zcsfNEGI6Gl1122fMNpeL2dwbgR48cYtOmTf6hQwd/+NChQ7/36GNPiOWVvhyMDL1hSn9k6Q4Fa0PB+aHkbC/m5kvO8+s/tswNl9RYWptmea3Jajdgreez2tOs9QSdnqXTT1nrJXT6htW+5XxPcLZjmJke8JoX9rj1ioTdWxTtuke3VyPwJKCIEokxAmNhMAKEYaY14uBpi7ERdz7cJBzUuWSHz23XDojNGvc8Os31l3ocPNens9rmRdcO+NIjAVtmLXuPW/7Xt3bZeyxgy6zki48qbrtSsTLocuTkLNdfFnHPU0OSsMGtV/nsuWDEMOnzhUcUpILDpzTthkYLGAwlxgpSY4kTQBq0b+j0Lc1WzAXbQl585YDX3Jgw16yxsDLF8lqd1a47NqtdQacPnV5Cp5/Q6ad0BpaVgeRcT7DUS7jl8kV+9ccWue6iGotrU6z1GnT7Ad2+T2/oXKNOHxJTM5dcfq29eM+en9qz55IPLC0tRpdd+ncD5H8nAB7HsQzD4Zsf+OrnL+mPkt94+KGHvSiBMIbBMGEwSumPDP2RpTcUdDKQn+kk3Hrled79Y4vcuMdnrTvF4mqLTr/GWs9nra/p9BSdAfT6lu4godtP6Q8NnYFlsS9Y7EOchlx36ZCtsyn9geUNLwq5cKshSSVaWqIY7n6ixonzNbbNJDx9uAamwRU7FTdcbghqAx45OGBxqcnVFzZpT69y/5MeN11aY3mwxupqm61bLQ/uVXz/K/s8tFezc7PHUr/D6sosN1w54P6nU2br01x9SZ/znQ4PPjtNXTd54eWWy3aNQPZ54qhg82zMwmLMPU94jGKFlJAay4XbIl7zooheX7F9xnDDpRBFDVY6DVY6AWt9j+5A0elLun3oDlK6/ZTeIKU7MKwNLCtDyemuoDMMue2yRX7lR1d54aXu4uj06nQHjrm7A01vqOgPJf2hoD9MGYUpN9z4whjUv3zrd775UKNZ/5SnPfN8Y+t5z2SmSQ+T9n9w4eQjv7V8fv/smYU1mg2Jjl2gaG01DnYWoBAWKS1Sah46sIVfeK/mrbet8L2vXOGiHRHnltsEfp164NMIPJp1Ta8uaQ09ppraXTDDlC2hYRhaeqOAlcUap05aosRw+lxCEFhA4CuLloLBUCHwSAaaF1wo2LPdsmvHgDDt8bmHFPsOzfDaGwNuuHKVD37O4osGF+4Y8OT9ih3Tivn2gJqqE8Ue53vQrGl2bhE8vi/ihsvqvPz6Jf7400N8r8Wrb7F4wYAvPxjx2QeaPHu0zsXbG1y4LWXTTMRF8zHXXJiilEErC1gaQcCm6YAo9ugNfJ4+6NEfaQZDRX8k6Q+hP7L0B+6794Yp/aGlO7SsDWFxoFhYtTSmOvz06xf5zttCrru4ydmlNp1+jV4GbgdsxWAoGY4Eo8gSJRAllnvve8hrtmZ/qzm9ZeUVL7vln691Bn88PdV4XvH1vAI8HA5IEvGjp4/e9+5j+784m0YDWvUAJR0zCQRVo0cIkMJ10ihpUTLFl5InD27isQNNDp45z1tf3OfFV42YbrVZ6TRodmu0hz79nHVGkuFIMwg1o9AyigxRbIljS5K6e5T4WANSCTwtqPmC6ZZgpgVb5w07twyYn+nw+Ufg3sc8pJnitTd6vOCKHvc9GxON2tz2AkFnOOT8cpNbLzPMTw+o64BRoljsxigjeMFlmkYr5NH9NV52wxQvuq7Ho/sV2CluvMrnR960wpcej/jiQ032nqixa5Ni62ydmVaDqRbUA/C0RUkwFvYeFaSpIE4E+Qo4Ci2jMGUYGkahYTAyDEJDfwjdEBb7kvM9CM2IV12/wptf3OEfvtqQJG3OLTXp9mv0hj79oUd/qOgNFYORYDASDEPLcGQYhSmjyDAcGU4tnOHo6c/PxrH5v976ppfpwWDw3kbj+QP58wbwJFxCqvhHzh2/992nj3x5cxL1aDZ8hDQIAUJIXNmmQAiFEAIpycANSlm0snjKUPcES4M6H75rJ19+rMtLr1njXa9a45qL+sxNN1hea9AbBgyGXgZs5e6RIIwlcSJIErfUu9otF1RqDTUfGnXDbCtmx+YBCX0Ono75y3tqHDnZZDqoc9NVmluv7fLggQ53fr3NLZfW2LVtwIfuEigR0G7FrPVDjAUlYFN7QLfnY5I6b37peT782QZ7Fmq88ZYBUbzMPU/NEac1br5qM2+8qculF3T48qMDnjzZ4ImjPjtnJbNtQSMQ+J67CKUAISzGgjGWOMku1tgSxu5CHkUwjKA3EqyGgpUeCD3i+svXeNdr1njpVSlz7Tqr3QadXp3eIKA/8ugPy5VgEEqGIxhkF84ozAFuGUYWYxWLyx3+9CN3bu6H9t3f+caX2tPn1t63Y+v033+AL6xYlEbMtYQdLHz0h0zS/43Ryr75mh5BvYYIU7DuYzmQ50AXCCFRUiNlilIiW54NnrIE2lLXgtWRYrkzw0fvbvLA031uu26Nd716jev3dJhL6yRJwGBUoz/0GIaaKFbEiSRJJakRGCtcFlRYAt/QqCUEfoTvhZxeDvn0w5JDp3yOnppBmYA923yuvEhx4xVdVLDIU4db7JhucPXFsHXTKivdNtfskCTG8vmHAsKBZLqZ8LqbR3zqnpgT51pcfonH2bURzxzxuGDLDNddtMh9T/a4/xlBGPlccdEsV1wQcMXOHofPrnDoNDy0r8HBI00aWhBoSTOw1DyyVQ+sdRdrkuLkQyroh4LuSNCNITIJxo544aVd3vWaLi+9JmXbbMBoNMVyp0avH9Af+QyGmv5IMRgphqFgOJIMQ9c36kCdATyyDCOTrYgQGcWhU11++0+/svneZxd+Y366lvzkr37ug3tmn+Hnfuqf//0FOHYEtvbSo8cefp/f/53Ztnd63hdNWs0mSslMfthMiiikwLG1FCgl0EpljwatUjwt8LXB9yyBZ2n4KdM1QS/0WO3O8LF729z1xIgtMwPeeXuHKy4YMRr2ufoiywVbFWHskaaK1LhEkcAipcHTKccXLEfPCdaGhjvua3B6aQYbeczUFNvnNLu3ai7eAVfv6WLkEu/5VJOVlSluuUJz9Z4OX35CIBKPzTOSZiNhEPtIK8FKlPbpjAQLK4KrbIPbb+zxtUfrbJ/3ueXqWf7xm5b4wGd7PLS/SX/ksbzW4qLtdS7fNuDmy3p818t6nFlZ4Y77ApYHAcfPepw+7eMpgZQSgcBYS2ogNpY0MczMxVx71YAwjLnigpC33x6yeUox2wqI4xpnF2sMhj6D0K1ywwLY0oE7FIxC3EqQSZIwSjNQ2wzkMIwFg0jQSzTnz3TY91f3zL/mppn//KqXbI0vaD325z/7a7/Pb/78//L3D+A//ksfYMtcTfzNZ3/3oobad9nm5j7md/jUAo/U6oy53TJbaG3ppIKUEiUlWgm0yh61wNMpvhb4nqHmWeqxpRFZpmopM3XBIJL0oiZHTzX59T+fBZMgkoQbrx1w0daIJAFjDda6JI4UAqkE2vPZf8Jn76EazZqm5UvmG4JNc5LNs5rtmxS7t6VcvnuNVCzzXz7e5viJaW65zOOKC1OGSY+vPxUwXfeYm7JMtyIadSeFjJF0RoqVvmW5k9Lp13nJ1Ws8vHfAvhOK6XaNm6+a5sfevMzvfgIePdSkP7Ss9TQLK222zjfYPDNi99yIn33HgHajw5NHYf9JiedZlLIIYQDr/mchSeDCrSm3XZOQxh5xEmBtg1HkcW7JZxi6FW0UqUK+DSPBKBSMIsfaYeSysmFoCCPDKDbZe/kdBrFgGAt6kWAtFoRpio2GHDl2avrKPf0/2v2CFyT/18/NffRXf/Q/2mDz//H3B+A/8UvvZ9uWtvr+n/3Dt737A2ff8+z+Y9z+ghn+3Y/2uHLXgDycFMKipI+UFqU8lLIoqVBKZXpb4mmnOX1PEXqSMDIEUUoYW+qxIYwNUWRpJxDGhjCBKBGMYkmYBsRpjX2HmjyxD1JrcdB22tiT4CtX89EK4Opt0K7DVFMy01LMTWs2z8KurSHbNq0R2xX+y8enOHxkihsuVly8U7Jn5ypfeSZhYXmKGy+SzLQNNX9IIAOsEiSpRFhLkkas9mssLHvccEWdF1zW475Ha2yZETRqLW64zPDTb1vmP3/C8MzpFmt9w1pPsbiqmZ9uMtOuM9Oeot2I2dSM2X1DROAleDpBqRQpHGNY3EUVx4rzi5o4UcSJIooVYZw9RpIwloSRZBRJwki4ADUShJEljNxxDaOUKMo0fezeH0UwigWjGPqRoBcLViNJP0qwoz7XX9zh3/5oh1uv/Hqj2Q4/GJ8fGT/Y8fF48TdTb9PPfvsD/Gfe/ZdMtRrqxOmltx84tvDHDz1xtmbFJj5+z4jEKH7lxztcubOPkgYhDUoapDQoZVDSQ0mLpyyeVnja4kUS3xPuJHiC0FdEsQN6HFuiJHWuSFK5p5CkljQ1pAantw0FuEUmhbQEz4NAC2qBoBFImg3FVEMyMyXYPJuwe+uAVnONj38t4p6nZllbanPtLsXubR6XXjAiFWt8/qEGTU+zaUbRaox46jA8e0RzzQWWQai47tKYa/dYzp1NWVz1GY4avP6mHl99csjB04pmXRL4ba652PArP7TM3c8M+dTd8yx3Lbs3p6x2NNNtxVTTo9XwaNYttcAQ+IZAp2jlpJbMWiutxSWsjCAxkiQVJIkgTiRRIohjSRg75yWKBVFsiSII45QoNkQV4gjj6t2Bexg79u5GkrUEhmGEjAdcf+Eqv/zjy7zlJQlh2GQUHaqFA/2ng1HjHyV2+18tH/uDdO7Cn/z2Bvjlc6nsj5a/d+HU2d/fd+BMLWg2iYzBaI+/+ZoiChVvf0WPd7yqz0w7oacaKGkyne30sKc1XqwJtGLkOaYJPUnkC6JYuJMTK+IEolg6ByEpbb8kNaSpcxdSmzklhSQSmRRyssfXgsCX1AJJsy5oNyzTLcOW2ZBNMz0Su8ZHvyr5wGfn2Fyrce0uwa5tHhduN+zetsrHv25ZWalxxVbFTBtajZiFY5LzqwH+RRDGgk1TkulpOHjUsto1nFuqcemFNV55Y49P31tjrgWB76PkNNfsEfz4G8/jyfP8zX0zPHu6xpZuzObphKmmolVXNOqSeqAJfAg80No5TFKAFBWQ4y7s1ECaCpKUDOgQp87PjuPUkUJsiPLH2GS2Y+7KZBZk4iRJPxZ0E0EvskRhxFTQ5Z2vX+adt/d5zY2Wbr9JGAUkiSbun6rFYu6P+slmbezsX+B45tsT4J+841Mkqfmhu7761H88f/J4e+eUphdbuolkIGvEUvH5hzy+/kyds6vL/K/fNWS2nTDy63QHNbTy8bSHpz38KCXyNH7kpEkUu1S6YxzhmChjpSSBOIU0dU6CMS7gMsbmPZwZuB3AXeAq8LQDSC2ARs3QqidMtxI2TQ+Zn1nja/si/vTOOvuPTnPhlMeerbBzq8/OLXD5ri6DpMuDe9vUlcemGcV0C6ZbITNTCb6vs8QVDEOflW7M2sDS6SecX/XZtbXFi644z50PDdh/uk0jiPGUjxBT7Nmh+IFXL/HCy8/zp3e2ePDpaZb7ms3thOlGQqMmqdcUgScIPInnuVhFKTL70KHc4npYjaEAepKabHXLrMXEkKQO3EnsEjjFPXauzChxpDLIgZ3AaJRg4iFzjR7/5LtX+Nnv69Oo+XR7dUaRTxz7hJHHMPJY6y60Q6b/S9C+xr/7rs9+4PZXvvHbD+ALSx2Ukj/6vj/5xLv3HTw1V/MFBhc4ehKCRNATHqO2Yi30+I8f8dh7eJU3v6zP7df32DIf0evWGYYBvpcQ+B5hpAl8Z+/lAI9jSZS4ZTdOMk87JbP+yJhbYiwluF2SMmNu0MolTHzPUvMN9VpCq5Yw0w7ZNt9loTPg9+7w+PzDs6ysNrlkk2DXZsGOzT47Nwsu2j5C+2t8+B7NkZNNLtsimWlJppopUoacXrQEWiIFWCuIYs3uzV0eIqU7UKx2LQsrdS7bWeO7bu/wV1/2ObYQ4OkYITyMbRInkhsvWmX393X5/KMDPvT5WR451mTHjGC+mdKspdR8QeAJfM/FKlrhAmcpipoMi7vIjMU5LakDfA7yJHWSzoEdotTVukR58igRDBPoJZJeAsPIkA5Cds53efkNa7zlZQPecJNBiwarqzWixCeKfKJYE8Yeo1CTpB7R6MTc1m3bf+OaF75VJdHqe7U/8+0D8JXVNXxf/+NPfOqed997/1Obo9igpKCmbSWgs/hK0E8kfVmjE2k+/JUadz/Z44Yrunzfqwe88ZYOc9MBw1HAMPQJPI8o8YhiXQRKSaKIU0mSSOJUkCSSNBWkRpRa2wgKVWLzjKhLFqksWeR7hsBPqQcJrXrI/HSfYTzky09Z/vIrUzz49DQzvsc1OyzbZiVb5ny2b5Ls3BJx8Y5Vnjw25I6vbmJKaTZNCdpNQbsR0xmkfPbrNVq+c4eMhWGoefNtIZ95wNXEdPqG86uanZtbvPXFfR7c12PvQZ9mkKCkcCA3DUaR0/o/8MoOl207z4fv7nL/s9OcWK2ztS2YqlkavqGmDb4HWgmUJEuQue+dlx+ZTKoZU65wSQZ0RxAQp4I4zYCdCkaJYJAI+iku5okimvUBb33tCt/36i43XJayZVYzHDbp9n2i2CeK3flyAFdEscYYgeeldJef2nz84NZ377z4djMcdN9fb3zrGye+pQBfW+swHPbxlPzBe+752m9+6Ut3zcXDVRqBIjW5JrRFQKcTCCTUJPSkx8BTnOr6nHmgwQNP9fmra3u8/ZVDXnfbiNlpnygMCBOPKPaIE02cAT1JFUmaJWzSEuDGZsxtypqy3IZ0Ot+itcH3UgI/ph5EtOpDUoZ86VHJn981zdNHpxBxwIUzlm3TlvlpxaZZn63zku2bYnZt7XJysccffKpJEtbZuVMw3dK0m9BuxAgvojtsMt2yCCGwFuJEMhsoEpPQi316g5TVruL0Yp2rLm7xE/9gjd/4i4Dji020irMLQ5MkNUaRZOtcwI2XdLn24j7PHD/NX36lzp2PTHOmU6cZKFo+ND2Lry2eAi3dMRdivLrOANa4iy41gtRCkgrnn6eCKHVJomEqGKYwTCxJkmDikLnakNe/ao13vqrHS6+JmaproqTJaicgjHziRGfgVtlzRZQo4lgSJy6x1l0YcOb8vZuXO/5vXnblC5OzZ8/8SavVpNX61s1P/JYCfDAYUq833/LIo4/+7t1339WOoy7TLe30XCqQCa5IKrFIIVw6PHXFTL4y1FPBQAUMEo/zYY2/eaDJPU8PuPmLff7pd/e4cleXzdOKdkM7dkg8F7hkIE9zgBuJsRJrnSSwRUCZpfqVdUGsTgj8BE9FdIcxi92Y3/l4jaPnZ3h07zTW+MzVBZvnLfNTgrm2Ym7aY8ucZOtcwo5NA+amV/n8Y4ZHnp3m2p2CmZak1ZC0G4ZmPUJ4IUGg0cr9fWshTSXDUDMcxSRG0Bsaen3LStfj3HKbWy/v86Kr1vjwF2vUVxRaxg6QVpOkPlHsejznp2u8cE+fF17S56GXn+H4ouRP75zm/FqDU8sBvpI0PYGfyzDpSKYg8lyq4Jg8sYLEQGwEYQqjBCJjIU0giZEqZPvMkGt3u/Nx05Up7bomSZp0egFh7JNkwHYrbG5LygLcUZKttonICsMGnF68ey5O1e9e94LrV0ej4R3fSkx+ywB++NAhtm3bov7kzz58yaFDB9urq2vUAg8hUqSAWObgFihhM3CDTgWesviJpZYKGkowVIKBDhimHstRnTsfmeJrzw5pBiH/6A0dds4lXLh9yK1X99DCtYgJ4eSKy0q6WmlrK8yNRUiLEs4ztyQgE545Knl4n+bTD7Z45kSLKGnQ0opNdcts0zLTsM4Hb2tmpzRz04KtswnbNw3ZtmmVe54Oec+nN7NtWrOpDe2mot0UtBoJ9SDkawcUo0jjNR2orBVEiaSmFddfNuSBp6Zd4dMwZa3rsbQWsLA0w0+8cYFTS8s88PgmPAmIGAMFgMJI0h9qZlo1pttNXnTZgJdfO+D7XrHIvpOGzzxY48F9dQ4caZIITRgqBrFCFaUP1cAzywlYQ2Is1hg8kTLlR9SIedENfS7aNmLnfMy7XhdS9yXNukcUNej0/Gwl1RnhqMJrz8G9/u5MgSiWJEbQH3R48vH72r3OuUte8/q3qyNHDqUXX3zJ3x2AP/vsM9QbLf+xxx754UCb/9jrrqI9jUjBagkYRKYDlbAkUqBSHHunFp2AJwWesQSppaYEjVQQGhilHsPUY5DW6PVSfvPDM9gkZsumEVftGjE3lfD2Vw7ZtTkijkWmtyVUmJtMf0ppEFLwsbvrPHm4idCa42canF5oUKsrpgLBdNPSrhnaNWjVBVMNRbulmGlp5qZhfjphy9yIHZu7pHaNj321zbDf5NKdlnZD0WpIWnVDq5bgeRGff6BGOJB4m123aC5RmnXF628ecu9jhn4o6Q9TugPNWk9zbrnBlRe1ePtLuzz6TIPjKy2UNECc6WWPOFWEsUvM9EeaTt+nVW/QrIdcuXPELZePOHm+w7Gza2gv5Ykjmr/6SgOhXOEak/MHrQEMWEscpezekvDOVw6Zb6dcvtuyZQ7SxCOMWiSJx2rXI4kVcaqzOMgBOge4i4lkVuvjvHb3OvPgU+d+xYlASsXCwgqz8/F/fPTRhweXXXrhBw4efDa69NKr/m4A/Pjxk5w9t3jZ+YXTv/fEE49IpaQL5jK7QgjpspMSVJrfLXEq0InTiXFq8VKnAQNtqaVO1kTGEqWC0EjCVBIZj9jAYr/NV540WFI++aAb2YA12T3P4mUWmcgrEiVSKZJYI43G05JWABdtsjQ9QyMwNAJoBIJmXdKqOzk01ZLMtGFuKmHTTMj2TT1SVvmdv65x31Ob2TMHM42MvRuSVj2hUY9oNobU6w0CJVEy0+A4ORDHHqOhYBim9EJFf2ToDY1rmWv6nFqY4iVXhfz0Oxb4rb/SnFgLEMJgbYxJLXHiEcWSUejKWFtDTbPm06jXaAQNakFMqx5x46URvhdz06UJ73rVAK2SLAlkEMKOi/JM0hnjKjkDTwE+o1CzvKpd3U6axzzZPZFlDJQVruXgzp2tMrEk3HvFaxfMJkYQp5YHHnxIai1/DzP66nA4evpbgc3/xwD/7KfvYLoV1A8ePvK2/QcOCGudpyyQCGGyakAnD1JpM6BnYJeQKvcldep6H5M8ok+zqD6P7I0oXxtBZCSJlaRGE5uANLO9qrciSylAC+EylQpqdUtNW2oqJfAg0FDzLfVAUPcljbqkUdMO4E3BdMsw206Ymw7ZPNtn++Zl3vNpw4fu3MIF04r5lqHdVLQaimYDGvWUVj3m7LLh8NmAmu9qaiCv9BOMIs1FWw1b50d0Rz7Dkc1YXLLW07TqNVqNad71qvMcOXuOP7pjB1pqLIbUpCTGEieaMFIMI1cUNahJGiNNPfCoBymdnosxfC91CTMvRUvXKCFlmhW2ubsrXRGAyEAu6JisytK4uCZNJcZIElPGO0kqKgF+/rzymIG6uCcUIE8Lt8YlnrRSPPPM06I/GL1t+/YLD99xxyeHb3nLdz6/AN+5Tfidzrmf73XP/7wklp6nsNZVlzitZ7LCKQdwlT8qJ09yMKdplmEzGchTV/KZv1c+LyvlnJcrikCpqrmBwrWRArQ0zrlRbsXwlMDT1vnGWlALJDVfUg8U9ZqiVZe0GpapZsp0K2G2HTI/M2DXlmUePBDy4bu3M1ML2NIytBvCgbsuadYMzVpCqxHy4H54Yl+DSzbZ7FiUafNhqLjpcsulu4Y89PQ0g9AyHKX0hzoDuUejVqdem+Z7XrbCEwfO88DerWAVxqSuHDaxJLEt6kmGoaYxstRrippvCHyPwE8JtEHrFE+77LArg8i6ooQFYbPVlgzgeXDuSohN7kiZ3H6tWLE5sI0DcPk6z5aW9zRboXMbMs1ILM8yGwura0MpTpz9t4Mo8P2g8atA9LwBfDAYyDAc/tLnPv3hf76ydNYPfO18VZuBywiUlCTSoowlkZZUuYSCSrPnJge6a6A1KcXzNM+42TzzZjFZJi5PVlhrqWTex1bcPFWdJ3SUzDKWikrRlsv+Bb6iFijqgaBRF7TqlnYjZaqZMN0KmZsasn3TKg/sH/JLf7yFE6emuXjeMN2Adl3RrCuaNWjWUuq1GN8b0Rm5YjFPWaQsP1lqHMPFiU+7HjNIDIOsznowSukNJJ26otELqAUtLtwa8ys/3OHffVDy9b1bsCiMNaSpIUkTosQQxYpRpBgGknqoqPmSwLcEviLQBs9zfr9W1gFcZatpJlOEsOMNullq32YkYrNaljQDfGrKR0dGMnsUJcDz52lZGjBOaLYsocjOrTVw8uRpP6g1/+UP/9D3e8Ph8F/X6/X/4XT+/zDAu90eSZL86oMP3P/Pjh07VdNaFYkMYzL5kV3FSjrASpl9EVmCO00tJn9uhLuSM9Y2hUcL1ljXRZ6VgFbvTAC8bJbIwC3ymnJnl+msFc3TksB3A4BqgRvJUA8szZqh1UhpN2KmWhGz7SHbN63xwL4B/+4D8+w/McvuWeewtOqSZkM69q5bGrWURi0mTiP+7IstpFJ40qJEaRMamy/hHj/w2lW+8EhELwoYZADvDxW9vqITaGp+QOC1ufyChH//I8v8mw8I7n96C8ZKUuPS6nHiCs3CyBDWXLlrEAhqniDwXWbT17bI2GplkMrJxLwsuQB4mfIEMhLB5RKc25IF8jmAs6kDpkiukbE7xYqbVoFtXAlF/liA2+TEZZFScfbMydp99933v91+++2i1+v9QqvV+v8W4OfPHcFa86ITRx6rBzpCKenqHHLZkH0ZI/MvlwG9SA/n4M7lR/Yli1qJsv3KAV0U/35eLFVl7vyWAzyvwcgzeTl7a53XnUg8T7r6DV9QC9zMk0aQ0qw7cLebEdPtIZumOzy4b8AvvX+WZ47Ps3NGMNesSJOapllz9Sv1WkI9iPC8kNPLM3hKuEpJkelbstUolSSJYtuMJUliunEt65QxDEcpvZGkPlDUfA/fq+HpKa7YmfDv//Ei/+p98MCzm0mNdABPLXGSZkxuCANDLZKMfFVIMM8DTzuJ5upULDq3bgWI7HEDjDu5QpYUQhTJIZMlh/JscZpW3jel5DSFFLHFSuxWa5vJzfx5uSKHawPu/dpD9a3bLniRkPKbwfFbC/CFo59gZma5ce899/hNfxXZJitFFWUhj8q1lfuySuUnVpBKx9SpLq/icWCXV3MOdJt/+fz5c3w2KcoiKilBSlGAW0mZNUrk8gRqHgS+oV6z1AOnnxv1mHYjYro5ZH6mwyMHR/yb987w1PFNbJ9WbGoapuqCVk3SqCkadUG95i4Ol+qPeGCvoD/yqSmyi8xp8LwJITWCONE0a4pbr+7x4DNtBrGTKcMwZTBU9AJF4Ct8z8/08zRXXmD4tR87z8/9Idy/dzOxkcTGZM3SZQ9m6EsC3zj29so6eq3yO5lMKWVc3k21EcjzpJDNAZ4BPi2cFzZceU0mRapMnRe+Tb6unvsktaweX+YP//iT/itf/6bGf/3AZwc//cP//UVZ/90At/ZxYMf04tE7/qBdX33ZoB4ihUeUyGzpyZcpCiAbWy5bjrFL4BslNmbtCqBNAeyyKZjsSi9OhsiaJmQG7qzISBUAB5VVDHoafA/XCeRnBVZBSj2TF616yFRryEyry+OHQv7Ne2d44thmtk5rNjUMU3Vo1gTNuqJRVzQK9k6pBQmtxoh7nvBZ69SYmSnT5DlgTKZN41SxeU7xqhf0uedh47poIlMBuaTmSWqextM+WteR0nDlBZZ3/9h5fu4PLffv30xsNHFWAejKXh2TB7Esqgt9LdE6K8KSAqXzY0Px+fKLMJcquc2bf267gTw0lUdjKo/FyjspQyZYvEJqVWMhTiy9YUo3Hr3s6X2H3/cjP/TWn/zCA4fXXveiPf/vAnzx9CJCdn5u0N33vSZewNPTBL5BCkhkvjRZUlVqL2NFprPzq7y84nP5kRYyhIK9xwLJSebOkJ5n5ArtLfMKulJ35xWDWuHqM7TF81xjcc031PyUei2hUYtp1kJajRGzUx0ePRDy8384z+NHtrB52mNzI2WqYTNwZ+xdk9QDx/61IKERRCQmpBcFCCXxcgYvNLjI2C3zi2OPpj9y5QJRjZkc5KOUge8YPPClq4nX+Qa0lmsutPzGTy7wL37fcP++LcRGE6aCKDUZiwtqsSHwLL7neld1Fndo5UqElZTZ8cm68vPHSmFWcWFWY50JcBckVCGmKrirYB9ja5NlUCsFX3mzdJw4PJw6tYRsHv7eA88+dXgYxv/q/1UGX1g4zfzm7bv/5q/fd62IIlq1JlK6giVwvZNF4JFaUplH3bZk7NwtqWg3Uyzb1QMmKkxRZiVtdc3MWbsaVObLbVbQpbJgSuusMygrQsqrB2temunmmHotZKY9YKrZ44G9Cb/wnnkeO7KFTVOaTfWUqZqllYG7XnN2Yg7uepBS8xPazYi9xyx3P9rElxJPmSyIKz2KfPmOU0ViNLffGHPJxX0On6izqUHZ5ximDEYZC2uF1l6WQ3De9dW74dd+fIl/9YeGrz6ziVFcd8mwxNLIargDDwdyna9epuhtlSotVjglRQXgogJy1umVEuR2HOBFhWK58o6tzJVadDMB7JzBTSX3YSzMthS1aIHj+x+79id+7Ed2nzx56vgFF+z81gN8eWmBWr194aF9D/22ovuW/jDFV9q1lEmD1IJU5hJFZlJEFK1SaQZy98XEuiWttKMqkXvVJVnnlmTMPQluYZEqtwWzmheVsba2+NrgeYbAMwR+Qs1PqAURjVrI7NSA1d6Ae5+GX/vzrTx5aJ75DNzTdUurLmjWROGVO+fFOPb2HcDrQUiUpoyGNWrKXWRSVJZ+cs0qskBTOy2vQ8LIMoxFBeAG30/xPY3nSTdVIGvjy7OQ110k+LWfXOU3/yLh/n1znOm0GTUl06mllVhq2cSBwLOZ9587KbZg71yq5AAvPm/2oas4LxRidlJsca4q5bcVSemqOSuAtlUpWmX1UsOnxpJmDkLdF0TDIcdPLr/l7nvuT2+56QX/2+nTZ47t2LH9WwvwsHcYE9Vv6a88/TYz3MtMW6NVPkYNpBWowh+1pGmZJCispFyaZEGJW65tdgBE5cCsB3h+iKuqMD8JgmqwVHbjl8OB3CrjaZONmUgLcAd+Bu7ZPourQ979Zw3u+PomlvozbJqSbKpl4K453d3IAst6IGkENmNwp71rQQRE3PW4z2rsMxcwVo+NGF+h0tQ1P7QDzStvGPDA/oheHDBVdKwb/NDVqvvaAVwri5IeQroEDRauuEDyW/+0y2ceGPKr79/CqaUZhtOaaV/QSgyNBILYjV72lRto5OWBphRFEJw/VgP16oUpRNErUpwfmJCQVWBX4qcqoAsXZiy/UQlSc9Ij/z3JVx88QGtq89uU1/yz/mB47FvK4GnSQ6rmpZ2FL/5MYL7GlrmYNK/3eI5EgFG5jSQLYNuq1i5AnXms2NKGmmTtqizJDnTOLHm6OXcBVA5wZdGZfHK9na6/0/dSfC+h5scEfkyrPkTrAfc8kfK+z7b59H2biUybzW3BfM3JEmcB5j65yu4iY+4qe8doHfK1Z6cZRJptjfzzTDJ4LtUkcaKoeYoXXTkkMQ7gw1i4rvW8cz00LjjU2WyYzN4TWXLdIpifFnzvK/q0gjO8/7ND7n12jnNxnUFN0k4sTW0dyHUWhyibxSU2A3l+DEVZOy5BUrL45I6ChVTJR1Qwqc2r3UOU8VXO3BsEp2kVFxWCC2PNR774LBdcevnP/MB3vvix1e7g4Ez7m4+E+6YAv/PrJ5HxB7Cj+e2Bffbl7dpxBHNEkXFSpGDtfNSwGJMmpSQp2Ts/wWNamxzoVWBXrIeqfSXshDTJs3KuYtCNdssalzPm9pSrxQi8GN+PqXkRjcYI3x/w53dqfv1PNnN4cRYvqLG1JZgNUtqBpRlAM+uwrwcu21nLEkKufiXNVgInT5a6Kf3Ix1cKX9oiwKTyVfITmNduRIlH3RuxdXrI2qDFMBbZuDUXK3hemtl8KrM7lQP4WODqKh/f8tI+N121yK/96YgPfX4TK0mTQeDR9CRt7WpwAg2+omiG0HnSp5hDI4oscJ4AqpLKuFipAp0NV+AS3OOAr7K4CzhFAfYie53VqA9ij7MLq9zx5Udfvry2sv34me5Ba/cjxOX/zwBuTMpnH/vhC2v2a+/ZXXuETc2E1IYoaYgTnQWUWZOBkWMAtxMSxZqyviEPHosrFVG5YsWENMnBbUs2ybJvsgpwabOxE1XmTjOQJ/jaSZLADwm8IccWEv7oM00+8dU5jizM0G54zNZgJkhpBTZLvefglhm4ZZEUqmXaO/DdhdNuhnz8a5qDx+vUsglcRbsYJcqLMQ7W6fA40VyxG950U4/3fW6OfkPTzmaPBFEWNyiD1jIbW0cF5F6FUt2qsGte8gvfP+Dai07xh5+e5ci5KVaSOgNP01SCRgZ0X1p34WQuU7H65cc1tw9x+rzMdNr1PnlOTHnphF0fSxXnugriYhV3r9NKoijJAD5KoZMIwlSwb99D/NyP7HnPC3/wFW8wZvWbSpVvCPDRKCUIJF/+2mM7z57du2dmvsvWtmuGBceWaapIlcwqznLmlhXWzht+RQHoHPy2yt5WFCxQskJO23ZMB+bAFtmoN1lUKZrMNcnZO8XTievc0QlBEOLrkF4a8Xsf9Xn/Z7Zyenkao+rMTilmfcuUb2hkzN0o0vcyq1PJpEnmnRfg9l32MowjDp4K6EcBM0Hm4uRJp9yVyLOwtlKTEmvaTc1FOyNUMKIXtRj6gnpsCXOA6zRL1CjnY8u8BHij4FWxaWrAT7xlwNtuP8f7P9Pljz42x9KwyVDXqGlFQwvqyhIk1rG5dFJFy7K8Ic9yrmNyNpArkw4LE0yey5AKkZUgL+OzHOSJESTWdRcNUhgk7o+u9Xs8++z+PVum5nZecOGLjpk0QarnhvE3BLgWx8BObXrxNeFHF4K7vXYjIE7A00llEpUp5vupHNDGFAFmwdgmZ+4KsAuAi5K5N/wktmIH2gLYY/IkHxakUgdwnaJViu/F1PwI34vojCK+9qTkz+9s87GvzjFKW/i+z5wvmPYNTd/SCCwNvwR3LZAEgSTIpIlLDGXORAZw33OZz6NnLfc+0iCKPYKmXRdgFqtiwVLueEWxwvM0r7qpx4e/1Gf/qSbDmhvNEHoWPwEvNniRQSnpfGspkEKWw30oV8TUSBIjaQSaLdND/sX3DLhyV8iH7mzx8N4pFodNRsrH8zQ1LahLCPIBS7m9Kl1bYVGwJirHP2PyyeKsKqMXK3KFwd1slnE9ntcX5SUeqYEkA3hsYWQEIwOJMaDh+PIc//y3D3vv/dVXfFQEqy9YXusv/g8z+AP7dsimfuiWzf5fTm2eOUuSehmrimwQvSE1yoHcSGwWVNqCuUtgGztehunqG0SlrmRclowV/rgeHcfkRUrZFOWeTndbtEodwFVayBGtYzr9mPueFvzx59rc+egUK50Wsl6jVVdMe5a2b2h4loZvqftkrO2Yux5Iar6i5gtqPlmFnsnAbQg8p7+VDjlwCk53ai6xkunb8cRJWT/j+iAdyBMjiSLNlrbg0guGPHUiYRB7hNmMbz/CgU/lk3XzRA3Iic6ckg0z+ZO6+vB3vmrI625e5cuP9fjg59s8vLfNcq9BR/r0fY2vBL4UBBLXwyndLnVKlBepElnZ7wYMvr5+pXrhMSZJc5BXy50TWzY+xxaiDOCxsW52pEnAxBgsS+dXef9H75i66Gdedct1V1z5Ob7B8KBvCPC17sngRCf4/fd88Xzzn74j4aLtKUmsMxbNRq0ZgzFpxtwy62SvALxSV0zG6sA4wCmXtjFeGJMmdqxA38mSyqg3mbqB+LmbIWMWewn3PKL57H0t7rh3ivPdJqJWw2t5tDVMea6Tp+6RyQ7nu7q7zEpOM93tC4KcvXOA6wTfT6j5EdbG3PVowPGzdeZnhcsNiIrtNsF2heuUSYph6LF7i+BVNwz4xNcj+rHHMBbUPNev6meTpcpVShV+NUKOyRR3z2WjzLKmmnoQ8s5XDHnNTct88qs9PnNfg3uebHG+02AofIa+RnsKLYRrIZQST9hMalkUoiINx+3DDch8zAUz+WNWuJXLkzRj8FyOJNnzPHGETcHEDuA2gSThku19vufFjzYv3/ny3yc9fSUw/B8C+ONPP8vSYo8Pf0Syc3udn/9HHWTPkBiDNAppFMaorBheFgfV5CyeMbgtOtxlsZTmFWpYZxFO8sFYQFkBdt5AUZ1lqHWKr2NqtZhRmLL/NBw7o/jLL07xuYfbnF9tgldDtz0aStLyLC1tqHuWugc1z4G75rmZhK7MVFbuIvu5zUBuCpD7nmtPO3zG8NTRADwvW+ZtJUUvxlBQDcLSNK+ZduOcr7ko5KqdffadbjCsCRqJIIgtoSKz9kzG3rmbkluQpVYpfPY86WZUNn3AYxR51OshP/T6kDffusYXHunzkS81OHamxr7TDaK1gCTQjLRGKjfVVwE6e8yZvJAulMH/upstXaPC0yZzSyyklBo8HQN11h9qUgfqHNzGifG3v6LLm145YrB6aNqqF/3DUWjfVws2+gDfAOA2PS7CcPgzH/nLP5j/oXcsc+2ehCiSeH6C1ikmVsSRwqQKY1UF2FXmrgC9IkuogLt6pRfwziP1QvO5pIaTJCbb5SElCNwk1SRNObcMX/yK5vCpOnc/WOf0ap3DZ5oQBKiGpqYVTW1pauNcBM8Nzq95blybA3F+l9ldZQAn09wZuL2UwHPs7S6siKOLsPdYA0+O24OFRKGsBy8chcJWzfoaE4+rdg+5dPOAp48kDBKPViwINfiJmwmoKgCXUiCkHGNymLTfRBHM5n2UceoRej7tesQPvDbkpdd2Ob3a5a6HfI6cDPjCow3OLNdIhx5GamJfIaR0K0XWlS/JMp5QyBYmFuBqSXOux3MmLxpVqoAunqcZuLN7lEJsEDpB11KeOKz5w483GUbHpr/vu4c/7en0/ZWF428H8Cce/SRCJN/7HS95svmqWzu892NN/uQTs7zytpArL4rZMZtyye4IH4GJZAZyQWpUBeSyIkUyYNtSolQZO0sblT73GHNXp86meEFKnFqOnBQ8dUTxxQcbPH3U59mjdbphQBgF4PmotkegBA0FDW2oV3zgQOd1GnnZrKsLDzJZ4vsK35fZBWBL7e2lLrPoOZ1f82OsiVhYkYQ2QGuJLy26YrNNEHgB8tSO9ztGiYdAs2k2QqoR/dhjoIVzOuKyYEwrM5aBlLlJDZAPO0JgK7ZtWhmM5KWqGD8xCH22zkTs2hJz48Uhw2jIPzra4eljPl98oMZTR2scOVEjThQECisVCEkqK9mgajJ/AuDj4jz3gfNHU3nMM0BpdoAcqDWGPRdG7JhLuOKiiFfdFvLUAY//9N4pDCcImh/B9597w+4NAf4f/vCT/MVXVtUzex8Qu+clvXCGT9zZYKUr+dKjdaZ8w66dCddcHvHam0NeeX0ENsHzLPUm2SQpCUaQxI7Vi0CyyuDVo2EdoMnml3jagjAIaYkjy2DkGP3YKclf3BkwiBWPP1vj0MmApb5PmPqgfVAeqq3wpaCuoKEsNYUbZ6aywiPlWNv3hEt6VMHtSfxMlgQ+BD6Za+JS5p42+F6SZURj6rWI86spX7y/RacXMDMl0JkXnxd9iQ1Wz8I6K7S4JAwV83OK19064gsPDznRaTL0pJMpGrzE4sW5Z5157DJ1diHVWSey+BvG6srfcED3U0WqFYnnxj7EseesVC+m6ce89JqEF10Z8taXjzhwUvLEXo9hpPjQFxscPeeBkAyGmjRSefkmVudL74RlVE3fjgEcwCASi8gDSWuoN1M8zyCs4ZU3hLz2ppCrL4/YvTNhyrfMTxtee2PIhXMpw7DLq1+Yigt3vUj99MqfJt7sD/xtGVzQas383iPPyOs+c34ehCUyQGBZ7Hss9ixHVyz3P2X46JdSNs0mWGO44bKYd7565OrCU9g0Zbj+mohmLVt5rChyYGKDv5kP5+kMBE88qVnuSuo1yYN7PT711RqjWDGKFWfP+Rihia2HER5ojQg0Wkp8JahJSy0DdqAsgbKuBlxnnq8umdvP+zILcKusR1MU7O17Bt/PC7TSgr19P0apiK88pvjE11soXzu7bUx/PzeD5154muaOh2I08njzbUPu+FqXD901RT+p0cx0uJfr8DhPytiiW0gIWQDM/SlZ0foVgJtstIN2TO5pRaI1Okkd0FWKUm6Q/kwt4bbLE269PMaKkLe/YsAoduPc/uarAQ/t9akHgqWu4omnfboDmakkwXOK8mLnCdcaeP0LYuanU9f4klre+eoh118aYw1smjXMTls0LtFkjCQdSaYD+MHviElNjFTd63Rt5vdA/MTfisE7ayHtKb/9m++543JUoCLVAFKQmROTjT8w1hJay0LHsLDmPviBE4ZPfcVdiTa1TM0YbrkuolV39b8bpierl3rmOqz1FQ8/5dPtKKSWbiaK1Y6ZhHbtQVKD1Egp8aRwYJaWQBp86YDgK/BVOaPPgVyUDQ/aNQLkjcdVcDuGz8pqvZzB08o9IdAx1kacXvKJwhrBlMTP0t4qq8oby2LmHT1ANaNbdKcbRRR7zLQUF8xH+GLEMAkYJoK6dkMw8xqSPKGlZLW8VRZ/y/2N3LI1ZfbUmKz5pJRGSZJmeQOVzWVPiJMUFbtcglYpUibsnDfZimG4cteIyA6R2tDpCB5+SrM2kKhCsYwH1WNnOivGatYML7ouZmrGYBO3steVO3busytMIohzqWur/6bEpIJOv6bSSF++/bLvbQ/6b+82mrVvDPBAncCM9G9ctvnJV9Rq50H6IKoap7rUuGUmf55YQyfXVMrSXbOc/Uqz8hU3Ang1NZadHCEw+YROsppTocogR8rMyspBnaWdJdnGrblvXHnUWSe9Itt6jwLcrq1L4Wfg9jVFialj8IzFtcHPsqOeFxMEMSeXDH/6hSZoH0+KMsAs5IlYx+DVTF8+JNSBzQ3WiWKPd71uyCfvGfLsQot+6tFI3Ka0rgqwnCsjVJ4TqAR7+bEsUuOyUuCV301RC6O1wkvdvBQvA7qSZdLM1Y1nz4XJBgelaGERNmW+YfiOlxgQaSYzAZHvn7HBOS9qjAQYhYl1IV+TWBJTmhLkxgSTcZtbIY+dWeXLTx99xXe88fRvpGnyT74pgz/+5J8gpfDPLDxFNBJA4FizaPys5pvzs2UZB372qCypVwH3hvjO2S0H+HjwIqQsWtCUAE+4tHIgXLWgJ91rnc0d1xnDFYVEmsocFLKd2cqu+hLgspAtgW+LljbfN5XBOQlext6+jpEy4vg5wWK3htCaQDImT2T1a40fubFCs6o+TlJFlHjMtUN2bx2y71zIMNWMUghSgZdavCTT4fkwU2EqKXQ11qmQnyKXn7CVppNcGhl0akiVROl8+3KVFaulSGWylcKU1mwGcpH/bUwx3Cl3vXKg5w5YldMLo2ECuGNOW/5+JV5zv5e7awapU9qtPp3e43zmi8J3m4l9E4D/xK+eQQjBoeMBnbAGgY/MrCEmdGTBydn/2eoPitztN5IlZF05lcJ6IZCUKWI3lQo8YfFEBtpMAuTPi/cysi9LQSkabH0lHNjHwC3do58DPQ8+M3Dn3T/aFBLF006f+n5MQsxnvlZnYbGON6XwqzUcVQeFCUVaTV1bMREEKkahm2D7xhf3+dqTI7pJjYHW1BNDlKXTlSwLovKCMzdJLP9LeaCZV23m1mE2U8Xi2gqNQBtBogQ6ldkudq6WJ8mAXibTTJFgk9JUEm/Zc1kFdwbEYq+YaoFWJa1bPIw7bOV74xdqfqFIabBWcuGWhF/8gdNENkZg+Vc/8w0A/n+991PMtBsv+a8fuuumoVnAq2m0UngZ2KoMnG1UV/qaOPNeIIqffUNc56chTxYIt2m3yBIJGgqrTWUpYzffpNS4Kge2dCOY81EIVWAXc1AUrh9xI4DnAWeuu3UuS2ymt8dryX0vxvciznUMjx6qg/bdCGhpi/R8weCMs3h+gksfuNqXKgtPPI49brgkZG56SGe1wSBRNBR4ifsuKhuepOIqwB2zlRUOcqJSU2R9k1kxnHKTEDwjSJUkVYZUCZIM5NXitbwcQuYgr4A6L5kQmAzkGaALUNuKRKsgY0xTiwrgJ4Buq/WLOS9aZGJIEkUtiGk0Z25SU9/5kmjlHff5s/9wY4BLawlH0XfM1v3rm55LV6vKATPVz5bf85kZjLN6fh/7UJl9Uj3fMrvKc6CX4LAFg0+WcOq8NiKrAc9LPV1zcd6p4mSJKrpXSmDnzbeOvTPNrSn0dm4JOsYuwe0V1YkxgphPfzXga0+3kIHGl8LN3y4qCMs2unLxm8xmlnU6eRVmahSpUQxHHrdePeRNL+3xR59uEaUB/VRSSy1hkm0gMFb1ZzI5ZyYuqOdicjBaFq2EObhTJVHKOEaXMhstYSqlyNUaIFuCfCzbnDN5CcbiW0+WLeQ/sePHZjwJWBbhVatO8+PaG4TU4qnrp7z0O6yR91X/3QLgx0+cYnqq+boP//WXvl8Ol9g9JTCYIpU6Vt9L+UfyfW+qS0gV5JOMXZ27kS9h+QeVFVDI/CoVUB1tkDO324Ikf03G4BRtWGMsnnXDeGoc3G6cwgRzZz2bftbe5um84SCp3GMiYj5yV5vUBqgie1kNMMu+xtzZGNPgTLTrGecKuNl+ijTVCDze+coBf/aZkDUTM0xrDFOBl1CweD5zPS86c3bhpBaVFWtSVEAuSHU21kFlINcWZZxcSZVFpSbbhdqgpCxKk0uLslrdWZYxF00pBdBLfbHeX5ms/8/wVbhOVY0+rtXTVJAkdaKVhNmE79992ZvuXlk+84XZue3jAI+imOEwuiQOB3tk2mO26RFme0ymxYCX7ABVWpSKEV/87W5CVJi8Ik8KoE+UZxZafEJz5qCvzvZQSpRaPKu4Gxt2kwFbK1E6KYUd6DruXWOyzZi7DDB1hb0DL+LRQ5KDZ2pY5aGkxJcGPVmnURHgky5Kfi86nYyo+NUO5HHisWd7zFUX9/n6gTqx8hkmgpoEL7XofDMBkXXhJJkORzq5MPYnRYXFRUUalaM88pmQWpkM3Fk7m7IVcOe1QDYrE8iZnGL1EBVwI/KJWc/N3hvdCrznCqEyWSGvccpb/sJIsdqN0e1wT5qEl6RJ8oV1DL66ukoYjoijEY1AEJmSQZPKiK4qY493un+zj17+VqFLqSzlrF/WVVHzXdpupWQRrntelOB2QaYousV1AW45BvDq8B/XbU8B7CJbWTB3iq9dYsd1BcVYYv7qrgbLy3VEoJ3vXr0IJ2tQqstYxSLMpwlU67gLb9oo4lgzPyt5x6t6PHqoTZjWGCifeuq0eF7OqiQZuPO1IhtbXURJjsWrZck2H+cxMZXK3SXK5CuSLZ7LYlv1TIPLfL+jXJrIsjliksEnmlbKdN/G0dqkZKkGoMWmttmA/WHoMRwZ+v2IbmeFOBoV/20B8M985rNIpVhaWqVR97AjSJQz5IVwy5YRlcKZMXDznB90jL2z/yvlycRjFdBVFh8bL1YytqwyuBIVFs/likTpcYD7OhsA5OVbB2YZTm3xilS8yZ6nY3etXOfOs8fho3e2CKWPkirLXo5fiJMZzMnLv1pSOq7DMy2eKpJUE6Sad7x2xB9/bsCTR+rEymMgJX5qMvdIIFNbOU7WtZeJqkg02d8a37eoyuSpAV2ZW6PTfKyEcVKo6NvM57KI4oJOJvS4O5/VYjkqTJ6D/JvjJQd0AfAxiZW3+7ldI+LU5+DBwxw7sZilzSsAt/Y4sKtx52fec9Ejjy1xbsllKnNdTN7/aKtX0vqTVbzY6KRWlqexakHWp7TXSxRRAGdyHLKsMHYeZOZTm7TON3nNtLeaAHeevvfyxmTjZoYULWJ5T2eS3WOUF3HwtKYX+aB0Jk/sRHns5IU7fjDGBxpNeOFZN06Z+NE0PcHlO0Y8eTAiNQFD41NLXc22rux7FOcsXrClIQ8ySyavVnk6LOhisKl7TxlIpQO8ynankKacEJBP10rz7v7CACiDyyLwnDjfzwXucVavSpT8oQR41V4ls5ST1HL0TExjZvqiX/zZH2lccesPD15y/SYH8GOHT6C9pdfOz6uf0/5peqMmg1HZua2Ey9BXg8oC5JVld5Ktq7qzyt75FxK4fE4VCCWwyz5GVWFFNTZUMwc5ZY20qoC6eJ4leRSZF+7A7QBcDgXyqvKkyt4q6+v0I1Z6hv/61y2WhzVE4Dl5UtmxIl9lqiB/bnainCZgqsuvLFL3SaJpNzQ/9V09vvxom+XQJ5KaoZT4WQ9lOfIhY/BqPb0wRRmtxWTgNljkhLMiMga3RZCeg11JkTG4k0Rp4aJQYKTU4WU7YSlT8sCzhO/YsRHPvcKta4WzVbC7f7dRT5lJQpYPLHPBZVf83FP7nr5PpsNPFgz+vk8+Q60W8NTe4zz8pKWpnefqV7xcK8ep+pvlbzb64OODHSdYmzKt7ebkTUqU8cE0BbClQKpy/JiqgFpLic4kiS4AnmtuUwSVnjYFuD2d11+Ms7enYnw/4i/v8njmcB2kh5SSIC+NrVibxR7x2Zd8zmrCCpsXO1VUZEpiZLbJk8c1ewa85aVd/vhzNYwOGEqfQIoi6aOkIK4EdJNMLqpMPha4lTUxRoGyblUwVjhw51PCjBumWo6VKGfRlJNpXR+nkOPypHBWxjBQvv7b3CZduiqmPJWya9uIH3rjWabmH6EthzTrIQXAO6NZEhGwuDbH0tICjU0CoY0rfppYYvOVJLdwviGwK26JezsvzLfrBsqMecZFYClKNi8Y8psBXJYAV5Uaap3VpXgUUsRTpVviVYYDlZrbsben3dSq1Y7hb77SYqkTQC1zT0QlGHsOiUK1IaDKShvZdkXjtnTjOFK3kepMW/EPXjHgjq+NWO4HREozTGVmT4rMvRFlM7acXOwde+dvmYLNcxtYoHNnRWXPZfY620spP+5VkAspKt33+RDPTJqM6XExIVfEOMCFRdjnRnuJt1zTu1VKKYvFooRifrrF7GyLoN3EpK5+Sj/w2EG2bZm58JOff+inO0tn2DEraPimSJaoialMEzje+IPk5JVjvHqyc6aeYPAx9h47WFniZAzY47O/qx0ubrg74+DOdzbImVtVmHsdg+fjJsqRE1q5zOXRY4IDx2sYAoTURXNuWT1YjR9ExdUov/y6pFjhbFRT9qWjYowLNrGaK3ZH7Nk2YnlfHZv6jsVTJ1N0xcUp2bNa6JUJ7ryMFtzrojElW0lkOTeyGtso4y4aI8m0d35eSjIqwG1ENksl1+RiQqqMNy47OSWeE1Mbok6U0YUQisHIYswUkV1ls9/66ektr3+8v7r3mDZpynAYblWkr+uvLTE/5TtQyDKwm9TT3+zvi/GPMmYJ5o/FrBDGQT4uT0TFmRCVYLMEtGNwslHAVR+8es+2tFZVcFdAnu1X72WloTl7q+y11jFKxXzm6y0OLtXBL+WJV7Euxy5Y1o+LWEcGlSRaddpAOWOm1OJRpLl4PuKNtw546NkGGI8kdVrcS7PsbjoulUrmrFpyGcitHZtVUzyX2XOZrSoyv7tjn2YrhhQZq5t8hbUFMZUJn+rzjKWFqMjUXKZUwP23wFmp4/MNySxp6rlCtbjL9DbxujQNt6bGHNOBdg5AqwZbptwGTOuX2L+lQT/hnojsE6/T3ROgzl9PBmg5oMUGwC7YXIlKE24F3Nl8wnLbDtYDW5cDgooRb9pkIE+cPFEx9UbE1/crPvmVJsORDw2NlgJPjEuTyc9f/c4bApwJ/T1hGVZ98TjRTLU0b719xOe+NuDB/T626TFMA3xBcaGp4u+XOriylhYgr9Z2uOAzu8CUY/NUOj1uKqydr+gm3/rEiIr+FpVAtySpQuZmgKgOEKpOCB6vV/lbQC375aQyxk8Ki00bbB64XtYokmgtUxQJzcCyZUYhlKtP+FsFkc/5x8vnufc5xt6VpXOMuSeeF1JElKCWqrJ7gxJZbUoJ7hLkedmsRetyhLLONmHSahzoXsHW7q6UCzB9PyKOUj53f4NnTzTA8xBSZaDK5oZUgkshx1l80jXKkV2wNtlk1kom04FcFlo8twujSHPlroTXv7jPE8fqhIlPKj2GRuGnTHyW3AtngsHdo534LKj8YjMYJVB5WlwKrHIuWq7HixVVgjSVWYamXDXkZDwySZrVY1J5LOK2b4KxAp9CFAksY2A4hO0dQXuQMhoZ9FfvvRNPa5ZXusxMu8lVcWIqM7vHkf4N4srx5zl7P6dzUtXhEwCXkwFmuQNBKU0qVmHB2DnAy8mphUTJmNsxti2YWheP5XMvCy61ign8iKePC77wtQaDoQ9NDynyykEq9uAGWczK96wepaKeJ4vWxwfJTyR8KgVYUezRakW8/raQO+4Z8cSRALTPyEj8TIsr43aSrkoDkVLIAzd4u+IQqNLJ0YpSukjH5vmqkgf5xjqwS1Mm2oSpuinZOTcls0/mOJ4T4JPPvwnAqyl8t+eRYDCUfO3rT/DQo4ewNkUvLq4gpSAMY2q+ylKw0k3YN3asZHHd1bMBY48DvPolxNgVvCGLywrYq5q7ALnT29VsplJZhWFWUejaubLnujoffALc2d3Lp9BmBf5aJe6uYzwvJrEpn76vzr1P16GmQbqGZq9SwjtWGlu9V18810myEycrby7PHJV8qGkO9HDk8fJrBrzxJQOeOV4jSTysUAyFxkspPpNISxYvP8LGTF4dYq9UZhlKx+butUAaUejwwu/PGT1fbfPyjnxo5wS4JwNOKu9POk1i4ol11+hYb1hZcuB28YsSQRiDiXtIGWKxaJl3zCi3SZH7sq5QJxXjJ6D4pyuv1wcGYt0yVLK3e1NWAV5p66ruLDAG7DGpUk3TV+7ZjgUl0Ct3XW6CmgPaq4A6d06cY+IelYrxvZjHj0k+elcL8EF6CKGKLiKVbaRazbpWHaH8wOT1hGNp3qIys8rcFQ1uBSZ1rXsuLa2K9L21mne+csgX7x/x8GE3SSA2ikEqsoKvDHRpbsdV6kCq5xG3eqAYB7oj9uwitBiZ7eeTB8WmNCCkzf6WrYDaVAZ2ysrFP5YAs+O42MCc2Cj7M5bwye5ptsuyUx+gtNuOBQt6dsoFSYMhhKFLFyubi/9y1wXIH7/xAlIEDxsuQ5UpqxOypJQqIksWlNZTDvBiTl4V5FlrWrnZlM3Ang/AL8E9xtqVx7yxNpcqSiV4XkKcJtz9YJ2nDtXB80C64NIXtjI5thpYjW/iNE7e49CylSdFA8REGroINlOJUZmjkmrCyOPqPSNefotj8WHqWDwUPiMDOhVl4JfmdqEDVClRqud0A+tSglXW7dxhcdlPKxBWYAVIK0qpUgkqS/bOzqupXviVue4TeZBxgNvJQzYB8HKmZTFuOds9OU4s/TAt/lvdqI/Q2uXy09Rm6c9MA5On6G2RJNhwbvfE2pKzVVELPXbSxZgsqTom43vETNSfCIq9d4rdi/Pm27GGh3LrEqUmwF0Zil+4JypF6QrAM4ni65iDZwUf/FyLMPag4WXyhKI1TVV3Ca46J2NBx3Nwgh0HelWmVDcHMHYjLa5pBpIffP2AT9/bZP9pd/GlRjFIlasyTLPkD8Lp7zQbyzGxkuS1oVWAu5ojd8HJTKNLY7HSnSMrhQO4EWWslDO5KR2xyQCzulfR+Mo+vsuyKJ8853HLH6v7Ognhzv8gjkmMa4DWm3d/15b9h/b/4qNPPkAzUHhaZkxr3VVcjFsrD8b4MarMOqlGwxlbrws0x9h6g9cFyEu2niyykpXaD1WwdwXYMg8ux8Gdz/Yr9Xb2XJpSe2fBZWQTPn5Xk8cP1l27j9Ao4TKXOqvBrjYXV2VK9YL+hrcxDV5ahTZzUaxxU3vHJmAZiTGaaORxw6VDvuuVff7zn/sMjQajiYVkaFyMIE2mwdNSFjLhrOQOSpGetu57WeVWFWXBZt63tSX4c3BLm5GRHV/FcslSlW5mcnUrVnmxIZOvW/yqdSkTpQ7g8DDdkly8M+TGG2/+xV27L/9xvbJ8ajoNh28Iw5RGoNyXyHTx+B45tlgeJlt1ROVJscxsEFzyXKCuZjEnWXusDtyOae8C6BVJoiraWxU7PVQ2olJ2QpLklYJpAW5Pxxw4I/nwlxu4+SuOvYvO/fzvC8bGC8vK964GmqL6wsKk/nYFV9XakHKuoAs8M2BbiUkVqcq0eKr5nlcN+MTdDfae8kBGWCEZpR46I6mCNdPspKV54ic/pxXpZN1ri5uNlX82mYFIWpDWyZYcxNK6v2FN5o8bJ2/M2Oo8DvZJR42J4zbpqmzI4JXPVyia7FxEkeD8UviGUXxmWk83UqIpy5YZN010TENXWNtaMXkhlRivUNWk5s4fn1OWVHWsHH8+xuLCVoLLyvOCsW3B4moC3G4iq8kenR2olEHlfrdKUDJBZQyeqoRP3ddk78FSe0shnfdddNCw4QkUTL4W686THXs+3oA85olXJlLpfKsYWabwo1hz5SUhb35Jn8MfDohSBUKTCs1QCHSa2XfkgW7uqIjKp7BlCGzLc61sWXBkZYXN87uwZYpfgJEO+CaXKbLK3JNuysZgp/q4Ebi/AdDz/zaMBd2exGultAcRujtwW0cL4XoVqf5HIudtsQGqq09F8QdKMq/WQUx+wfWJgI2bG8ZZO3+ds3YO9py5C6CrKpOXulvlQaSsSBNZDs1XKsXzYo6cVfy3j7cZSY98glbZNZ+tINUa6KokGTtD3+D85EtrkSZ3Z2xsprqpanAxVp+SGk2SegRpwj95W5+/vrvB4TMaVJxJFY+hEKhcnmR6vAg2J0Cee/MW0PkFl70nbSZRsBlr5564GWNzm/0dIwXClqvHejMhA36FrSfZfN0hfA6GmAQ5qTuGrbpkpi3R5UQnifbyohu3aWfxD1jWn7AJgI9rKDHxwStJnay2ZSMGrAJbTLB2nkgZB7cpJYocZ3A95m/nOruqvyt36Vjc0xHdyPBHd7Q5fT4ApTNrUGbyxI753sXzygkaZ6nnLlSrnqCqp5vvMTm+M10+uEeOT8GSijTR7NgU8mNv6fFrH/TpxG7qkbWS0ChnG6b557DO+y2ESQny8v/dT1SGmmx+U/koS8dHSlsyuK2cu0x/2w2093ordUKTV47fGNw2OIhjrk+lridNLKPYsbluNyRpKGk3nd+aJM56EZTsvW5rkeJJeZjGAoRJUFfAPQmGSebOgV2ytq0Em7YILPPG19z/Lphcm4zRTSFNnBwxFamSM3ZSPGoVo4OYj3064D1/1SY0npMnQhXypGgqnrDExnR3sXpVz8jGEK/OSCqtwiro85S9dfsemUopbeaqJEZT0wk/8fY+B477vP9TTouDIhWSkXG9mzKlYPCyACs/cbbChKVd6UBdShZrMzYXJaAc6bhSVzuW+HEypqhLz/BgqiQ3JlHEegb/ZnKlosHzrcKTxDIcJvT6KUEtRW+ejQlkzOJ0ympPlxt1StyHzj9I5VxNLh35B6x+KFm9EjfSqhUmLPWanZAothJkZlt0V7cMVGWxk1KmIlVyMFeYXJbVgYXuLh7drMGVVfjrLzdYDXNwO4B70mlvLcblydiqk9tllZOxUaA0GfnbiZM0Lk8ot140E3XiUqKMwhhNkmqm/JS3vXrAJ+5rsNxTIGMwihinxyerC8fx8txM7vJAZVIor0/Jg02bsXgB6Mwnz227cRmaZSwzAjWyCu5qU/I4ljZi7+K9iptiDCSJYamTsrCSYpRBW9nHiAFJGhMnQTbcp1KosyGgN/4A1cKqKqvn74/pbirMXdGxY9vXVWs8isCy2mAwHlTmw2lKcKdjAWYeZOb73OgKe3uNhE9/pcaDT9UxFe3tmhpyeTJeb1K0Zk2uYoKxFe25A6aMPStWYXUb7GozhK0GnVaibOmLJ6mHNgkvuibiTTcP+NPP+KAiEBIrBKHRKCHcFiR5oClKUE/KFSo+uMp7JHL7MK+dkZVCMekSgiVzV2SKLM+3yUlMuF+QtsTRmFwR48esIMnKGxv1LAsBWku0TklVQiwT9D1PaJaXFUf3p2ydTdFaZpt+imIpGdPblT86qaEmA4bJqLm8oisljpPSZJK9xTiwSxcle60sOhsxJmXmmEib6eqKJMkdE1mRKNK5J4EXc/iE5IOfbnGu57v9rqUb9K4E5Y4NE/HCuu9ZTWRswN6Tt7FET4XZJ7dazPW4Heu6d/vnuEe3/cmWZsoPvanPfU8FHF6QIGJAYZCMhKxsIgXVMtrCxqxecFU+L7KZ2Xmosrlwz3MwW+uAnJ9X97NSpkgBJntuJlrr8mNYfiYxQRDZ71dLRYr/xjWc1wPBzVsU11xnmJ5J0DL1EYlHErsCK6lcH9ukjTPJ2JOArj4fY3JR/bfsmOYuZUql8q2or17P3OtAXszInnyeFtq7SOjk44BVgpIpOrMFfT8mTA1/8Jdt7n207nrbpHbaW0rXtSPK+SvFZ81XlgnWmWTyKs6rWF+fwSxdi3KP92r5bLWM1rWbmdxRSQ2J1KhE8/IbI378nV1+6Q98wkS6RlQjSTJXRRpR+Wx2bLV2H8y1pFH5fO51dURf1l2fJYFcgJkXabn4yGaW4WTTgxUbEcN69hYZXsbUgnDuzBgWbd5s4cjF9QJ4KFtH2Tp684xEpoqlKY3WsgSeZB37bgTySZ0t1n3QyYKbKrirg33GZ3sUQaUgm6ZE2dk9weAqY+58AupYcFnIEueWuIGSScHgnp9w18Men7i3QRh5UNeF9i7Yuwhs12cuJ+2v6rLq7hs3HY/5uBmwS2lQFl9ZlTG6Ga8VT41EGidVcqAniabeSHjby4fcee+QLz6snG2IBCGJhWZIeS7IvfGKXHG7zYxrcnev1KXIrHxDgMq+n5MtrkbFCgf8KrnZDOhGVILdb4Cx5yLTcVLNguXMdxfGFVwtrSnOrWgi66GbdUXYULSaDuCTSZd1/2gV3HKD96vAngBC2eExzthVWSJEFpXLimOR699iP/UsVV4kd/JJqKZ4XrB2flcluHUGbt+LWetbPn1fg/1na06aCFcSK3LtLahMkLLrwF2sSMVxERWgfwN9koPbUqTIx8pnq1JlIvEzWS8upUKaFGk0cai5bGvMm17a58G9Pp0oS78ap8cjFPk+EJLMGx8roy3XHItL7hQXpHRuS9kMkbN5JlVw8kOKrIY8I64c3HnpRv47uU6v5keq4yXyC0/mYBbWyRPhmDuflmWFQGbSyhhXcNXtWzzfohs1y6gGNV8UV9QkQ69jbLHxVTamrdcx+sTsQQljA2MqTF5l8BLcuQ9eBpeyAHAF5HIioMwTOVUXRbpOeUPKn3ymzns+3sIK7XzvMfam1N5yg89dPQ5jK9xzbKs3wd7rpvGO6e+cyde3shUb7hqDSSVGOl9cSUOcekhl+Im3Djh0xuM9n9DESQlygyAUEmXyQRIZuKutbQWoBfmWNdnkt1wXUIyAy963IvfGs/9M2MxNKUdM2NzBKaRKRX/L8meTYLcTFwJ2EuxlFhYBYZgyClOGUYpeWE7pdlJS4/Zorx74SWZe140hmPhQ46wuxXiWrxrgVBm7Ouog97hzZi9n4mXe94RjInNwq0l5Mr5nvcr2nnEaPMbzYw6dk3zi7ib9vgd1tZ69i5rvSkwgygRPVaJNPodvnuQpGbwC+opkqc4tMSav96gAXeZAlxjptLiUmjhOaTUT3nr7gM99tc6hs1lSwQ2oJhWCYZaeEwKEybPVJdhtAerMLaFSI15IElFemMLpb5UxrxUlBgqgy9LByc0Gt6ILSEuSQzw32PPnhTTMygaK1jvruoymW5L5aYmemw7QeHSaLr6K03Io5EaMPcnUG/5OJSoekyJUnhc/qwyQEXmQ6YbIVIPLamJHiupg9tw5MWPbbciKLJEyc0wyJtc6IYwNdz7Q5MuPZdWC0nMAn2Dv3LZUQoxLK/LPP55+zhEuvhmyxwl9HOiVuzFZ9jB3UrKtSJzuNqVMMZJUSFQqMUIRh5pXXx/x6hcNOflZj9A4HZ5VQpGgGQlcxWEmSBCiMLDz1I8qlqHcUXHXihsVmP2WECXZW3dOrcgCzyrQrSieG1HWIllKwNpJ0sxYniqL2wr7i/KYGWtJE0uSJoSxJE499CWX7FrrLg8+V7PmO88upnQGqix9rQJYuj+8sT22AfALlnMApvJFSzCXAWV1tvQ61i6AXu4yMO6cjOtvVaTf08rzBCldp470E+552OfXPzBFanXpnEiFENLtAyTKtPw4g1fjh43Zewzc4psgO2fAdTLFjskVQz71KivGEqWjUmhy6bxxYTRJYvD9lJ//4S77T2nueUhifJFB1n2B2CiGY4LKVmTJBpq88MKz1Tb/vBlhOcswu45E1rufATmvU8l/D7JAlHEgl1jKLrwK649J3YJLKp/eQm+UstyV9KL6566c276mtu+u9w+eOHX43Kr98WFfYKwDeNVNqdaBTHbUVDc8HUvOFJOQJspcVSVwHKsMzAFbtQAriZxKQFkUVD0HuKtSRY8ldFyv5akVwa9/cIr7Hmu6TXmkn5XEemgpqEsIJNkmV+PNxevvWQN0MSRnfBiRytq9pJpomK7o+vK1qFz0E1ndKhlU5gCKSalX/ZmF+bmEQFsefNJnbVipLcjCzHyKuKyCpfCfJ6/OSrDxnLfqbgyViziXXWPyTFSv88oPyveLWYTrPkf2+bIfua4vSaNm2LM7RdiTP3T02OP79d2PeBgrqKmUXXOWzXNudvZ6CVECfnzm3HrmHgsoqbCzrDorE37y2LYY66WJnNDc+esN76oaWGalsNnz1E/54B1TfPIrTWxNgVAOnUIjpBzrtyz7G79Bx3xFJ1I54JPno/p25byPneAxQEx02092+JhsfqDNmNtaU9aoCIk0ilRo5DDlba8Y8uwRj994ryYKkhLgQmCNR5jVzog8v566IhOLrYDSZrLEXcg2288mM4BcsCmcHpZkzkb2Z8ousTLAlJnOziWMzfW1nIzrRCF58tWgkCaZLZmXSnhKsmnW49pLJbPTkCSgr7+4jhCCJHZ7ruf78AgxzrzjMiJP5ky6JuuBLtkY2KVzYtc9HwN77neLDOAV7T3G4DKtOClVcKfISu3JFx8K+MBnm4zSbAq+yK3BLGsp7Jj23jA1XwU6jH9nxh8nWWe9SnEIyL3ndRlN7LoSWisrmU1ZcVaEcoVZMivOkobUaALP8MNv7HP/Ez5ffExmEkHmGhFjNaHJGnXzCiozIVMqCSCLGzBUgL4KculqmRwos/pwkWc1S5K0+bG0443IuXWY744hM2ek1Oi5IZF/xux3cV9nGEr2HWvg+xpjLHq2LZFSEkaG4VCOyZCye6bK4huzdekq2HGAV59v5JzkAK/ag1Vwi3JnL7VOh5txD3ySvWVaBpg6ZhDCr75viiOnA6wud0se0965RBoD9gSg2QDMlYVzDM/fQJBPbiIwntGsFl9V9fj62hQjs4pDWWVxhUgNQmhkZLh4R8y//pEO9//LgN4o+zJGFp8rRTOy+WdcD3IH3Oy5pXBYVMauObBzR0VkIM4190ZAd9WlFUekQhY5kO3YRWALezF3cQTWxSPGjTkZhYLEWKRyH0Z7wTRSKVLbR47Csju90sRbbT4o7UA7ZpUVafgqyGWV8e0E6EtAC2GfQ6KYig9eAXYG+iJ5M5bMqezOm3neWsckKfzux1o8tq/mPG+ZM3fpnHhiXJYoMc7aogr2CeYmOwbVoZsb8fU6Jp9wTsoGCMpiJuuKmdZVGwrH4EXQaaQDeSoxIrunmVQxhhuuiPmp7+7w2385TZRmLJ5TnxWkKEKTa/ENmNwJdJSoZDmF26DXVtk8b13L5Ygs68/HPO38YqgS5xijV39W7f6yZQ1MZmtKA6lx7tu2uRbT0023Rfl3fMcbaDSa7N37LHff9Xm09ItJrPmW0XISqBWdxNiJzrS5pMLsdoLpq9q7uoHRuCwpAT++P2PJ3mnphVeTOmP3LLCspXzpgYD3f6xFZ+g5DzDzvBEKIUTmnJRZy2oprxr73Ov1d5F5GwvLRPFaTAJ6grXX4X0M6JZqAqhk7WwqbC5Jqkkg4WzEVCqkNa5eJVG0a4YfffuAR54JuPPrChpJZnfkkZogMZIReUxRgtziSmMpbEvneWexqivrzTKd1lAwdi5fREWWyAqIq7UpuetWHldRZjsr7+eZ0SLJ5PqOXNbUpFx1zfVcddVVDPoDtFQapTRCSMBmu/06gCtlCy06aQWWwLZjV9r6wHMymVPZ8kLYcR+8Auqx7epEucOuA3jJ3LKiuWWxr7oLLKVMkDph3zHNf/tom0PLvqvGyfxu9yhL9q64QWMg30iejEmT8f3oxXNL7lLWTtSiMKG7yyrDSlnqpEduNyjEsqbYVFbkUkVYhNTI2LJnNuGfvKPHsXOag6cFVlcFlgDpkWYg31CuiBzYpQaXkLG4KAPN7J8rWHxSuuQXkS2PsS3UARmwy3ESxTEG0hxL+UhnA9a6Hd4C3+Jphe95xJ5G55uk1nxBuwnNerZPjbITwC4BTuU11SWcjfR3FdgVUI/53+ObGKlsq7qSySvyRJns9WQyx2RVgk6aSJngBwnnOoJffW+bT9zVwHqqTMdn0mQj9laVC3C9c1L97hQBUIHfCqOXOnwc8GOsPQH2/L31NSlVHZ4DuhqA5p0/Mqv1yJ9nwWdqSDB40rkqnVDyc7+lWFgTEFSQaAUWXTB5KU+yCy1/zFhbSZyjIqpuigsGqw5JDm6Zlo5Ljg07KUssY7ijirvivVKXKwlJCqkxRHFCGLn9XRMDOvAVtaB2rt0QX9izq/26NOm4jT/zmoHKHynKFtadTLshm1eBXd27RRbPKzUnhYdbkSIFm5euSRFcipytzZglKKUDt6cTIgyf+lqTLz3UyGpNcktQZgyes3e5a3B13mDVLVlXFlvR4lWZNsncY8du8lb1iKuApvSMranMp6lUGsrMTcn1eCoEQmSJn8xZkVJirMrekwjrKg4DbXntzSPe/OIBf/Y5SZQIl7YtWBwHcisZZZ3BVlRliig1N85RsRnQbKG93YxxmTtDlLo8fyzkbDXQFCXAx4h03apox94XwtIfGTbPTTOK+ILv+eesHaD+02/9Dj/2AzeuNWrJWiMY/EMTncX3pdPf2mbDLW3RKlZl3CIRVCQgyud5A0KhX2WlEnAssVMpfR17bsaTORXnZCzAVJlTkmUspXRzTlJpuOPeOv/nH05x9FyQNTGUCR2kRkhBIKEm3SB7nY2By2eLrx8ulNuH5WD+YsqtACklxbYqYnxIv5vUJccTN/kxm7xXA9pqGUMlDircHekCraLOQ7Lud8fiBAEYy2w75cpLEk6eVxw8oV3Cp7ga8+eycEDK8Rfl71QnrEx4outQORlzVHMB1Z7fyeTO+HDScvPa1NpsJiEkiSWKBWvdmJ27L6LenPrfH3784AP/4A0vd3v0NIIuSgekzT5he0SSKpJUZLsMZI/Z5ZqXd7or0IwtIYV+qsoTSt097ntPXCjCjEmScf1d1eB5bck4uJ3mzioFvZSjS5L3f7zJ/sMBtFQhSVxix2nvXJoUfZaMu0XP2TFfCTaLUy7GA8p151tUlsANCL1kbTOR8CldFFmc6PH0vRRgjNt1OPfGRcHsMsOrwQiFsJbUaOLQcsWemB9+W4+HnvI5tlhZqoqgE6xRJEhGwgWXZCPcrLEgQZmMcq07eLkGN2S6vAgKM3fFVpM2ZZBpq9JE4BobKlJPTADdZiDP9/hMDKwN4HwnZWEtZjhKgGwTqtbsC5C6gTEpg+4B4iQkjlUB9CSVZb3DhFgcC7rEpFQZd0yqaeRCpsjyedUaHJMnwo7pbJmBXOZuicjuGXuv9AT/+c/a3P1YrawSzDOWGbiVJNuhuDoGuYw5lKiy4HpbcCPgT1rg3yyrXQ0uq7Q2VpdSAbmTLE4OFDJFVMBfyXS6giaLyKwzI1TWKiYRKIwwpAPDK64P+afv6vLv3zfN6jAHdoY4IwqHJJHZaOfskUx72wz4uZxSmT8ujUNsEWTmGl1k5Qg5gCcDzOoxzaVK5fgYyu3Hk9Ttwp2kECYQGp8rL93Na156DZ3ekF8jM0J1bSfNmWvvVObUr7dbgnowol6LCfyk2OZDTsiL8QE8G9l7dkJW5LraTEiS8e6bEuTj6XdZMLYpgV2pFJRZvclIWP7g403e+7EWvdhzujtn7sw1EcKNGc6dk7Giqvwg52w+UTlZMPUkmPMLvkLd3wTf40t2lZ0rAB9zWyp2YemiVC3Eycm0rpzWVnaLMEZlHUFOj7c0/Pjbe/zE23rUTQImBZO4uy0frbEkFkIDkYHICAcuK0gyBk2z5+WW4G4L+Mm7KX6WbRFfkR7l2Dr3b5jKPa38LEkhTgSjGPqRoBNCrGs8c2L511968xV3XnHx1nwRgkb7As489c8GSbR41FOSZi2kWQ+p+RGeTsdAXGXfsU1A83R6XtZaALdSuy1K0OeOiCqCyNIdqYK6AHQmR2SRyCmBnoPcasOzh33+4s4G3VhXLMGyUwchEWTSpLiXFY553LBhpnJdZE/JQlVZIibB/Y2hXt3YdMwydOFXwczjF0GlKbkAtRx/XYyaEJl1qCogV05+xIqWtnzfa/tceWmITDNg2/Ugx1gSA2EG9NgKYoMDeeZaJKYC+BzIFbAW4LfZYyqK15NAt7byfmGNlhdIbGAQC1ZDyepIopTH6XMrR2/9nv8wuOSiHaVEAWjv+H6kbDBY/hvCtTvRXgNBkyjxsFFJNeOW2Pr9EB1IzAZWYcVFyRi91OGm4qqUckQIW2HytLgI5EQqXsoE5aU8ecTjp35thqcOBlhPlrKkYHBZsQXLrOXkTg0bWYMbyZSxxE4lEKsi/G/D4lVBXsjvDXzvkrlt5kQ44EpbShYjXIBrrHR615bP8wlZwjhvPMU6mzeyXHdJzO/93Bo//h8ETx3KgpNcqox9Rk1iRJGa96v2oSglisIlYJSp2IayTAPkvrgUTgLl6fniOFeswnU8kT0mBjqRoBsniGjIq2+5lh96x+10eyPe/JFfHAf4uc4mmo0md9w3xWfvqnP9pZLvvC11O+6mrqi++JIV4FJZxmXe1DDheY/534Uer4C6qr8ntHfB2FU2rwJbJmjP0LOS3/94k8f3BqSqyty59nZTQQpbUFQzlNWKxpKVJ+cOrhsLMQb2kgC+QfnJOK4ngF1FuK32aY69X2X2iZpx68YZG+NcGyMkIit8MiILYYXMbDmJEAphLCkGLSw3XBnyv7y1z8//tkcvEeBRpiQzPe5uitRIojyTWGQxc32ep/KzGvJMpxuTp9kpEkQ52PMMZQHyys9zOzE/vkoAyiKFoN2MeNfLznH59jWuuPIF3HDFNGGoiuNaALwf1ak16ocOndt5+MG9V+55dF+fuoRrLvRc0FAAYDyBM96RkwFa2nXgLp2UjQJMg8iswIK1RRXU1QAzRYoysNReysDA+z/R5KNfahJmxVMlc+uCvWUG7nLLvQ322amy9yRjV6L68WSOWLe6raObb07eEzXTdp0Oz7EzyeilZLFZEFrKGmEFIqtREVYirM3uMgtAM2cltfjC8o5XD9h7XPP+j7fox7gDlgWVZM5JfkuNrBRalckdrHDtayLzyAFpMqCLitNSdVKyP5Hv0SkZT+xYW1ldpXN9az5ccQn8o1cFzE5fwMy2mcPNpn+oFXjFZyyg/vv/9T9x84tecXj3ptrmmlm5vS27tII2ntbkY8nyK2l8KE9ltMNkICoqvnb2O+s9b1OMfih/Ps7YVXtQilJza53Qj+F9f9PkP7x3ioUVv9Kdk2cr89cSLVwjgz/WyFCm6IvZJxMVlMUFIMf3gpzcYiXffqXcVyjzv/P3ip8x9u+MFXJVx3bknracnNI6WedTCY4rPQ35e2WcYNcn48jez0oCptspL7wqojsQPHNYuyRQdXkau6jdf2myi6/agDCm0bIqRVv9kR1vflh/sZekkX/ePO+glaDuC+anFDvmGgzDBjF70PWrfndx4cQfbd5x83oGB2g3PGq12me2zftvqcvm9c2Gs2DiWKCl2/s9UyVUu0nGyl0r7DyZmhfr/G9Tet4V2VJo7QLcuf6ulL+qFFmzfPIzDd79R23OrXjgqwn2LrV3Lk08USZwxlm71H8be9+lzz2Wjq+cMzH55n/nbbzQijGpAs+VuicruCJja3chjTF4IVty1iZ7zOWKY3GMJo4s22ZSfvFHuyx3JR/6dAtqOYNnV42hPFAZGJPsi7tCMIvOVyPjWteUBJlpc5OxeZ4oct/b4Sk/BjKzsYpBP5UYUElwJSbQGVhOna8RNIPHL5SNz8TRaOyYquqLP//QB3npi6480ajZW3yV3Bh4KbUg22PSK2dvF/uzV+1DkTsnVRtx4rEoczWUhVPVstj1DkrJ3BVLUKbomuHQac2vvX+Kx/bVoKbGGVtUa70FnnQlF3nHTr63+0ZtaJONDipj0fHWvOrrkp1FwezZZlrPweCiuhKI9VlMkf27OSOP9YEWJcaV93LSmWT07NzKLHIbqxmiZHGgaC7AWKamDPWa5f4nPVZWZQUpE9FzkQBwTJ5WLvdxNhYVll4//rNcESrvZCuFqJ6LLFPsZTtcWyypUYxi79NPP3P0d9/xPT849q/qib/CpZdsQwjJ8WMjhsMIL9t3ciyQHPO8K0CdYGkhJhm7WoNSBpnrmdtUAJ06ps+ZW6Yo33D4jObf/t40dz1Sc7pDqI3viKxTp6xxH0uFi+eQClU9Lktf/LkqCavnvcr0k/UrG7kk+X9pJ6LO8WRPZURD4Y5QuCMiCzDLn5XsLXCeszAySxLJksGNKqRLapWbEoXFjCyveuGIX/mpDv/m96Y4ctZ3QWcOwTFdbh1XWokRgiiLSa0QxSgJ/KR7/wAAL6FJREFUi/Po87inqFepBJ15pz3CFiuFLUDuklm5ZZhaS5IaRiHUapqZuW3jx++5AH7tDa9EKRWtrvUIR53KDmbZkMv8uRovgpoEcp5+Hw847YRkmXRNTBlwCoOYALeUKcozHDuv+Xe/P8VH72wQiWxzzCINX8oSMtcjrxQs5nszWSlo10kSNgBnAWAxRlwbcNYGt+oPJ85DDnhBKU3Gfi8voS0clfE6cXLQj2U2y0aIMuPpJIzriJFZJlIUgC+4VSgSAzWd8M7XDEgN/JvfneL4+SADORMgJ9OuCjfsUxBnb/tWoK0LKvOSWoMbySxxskVCttdPCXxpHe5sfnxz4qn46Um2e8XOndt4y5teGyVp+s0B3mzN02o1/uWOHbuuGnZPvULYntslWFe335tM0kyCmDEbcCNGF6K0AgugZ+CWIs0eJ5hbG44van7+v0zxsS82iKSayFRWXRNVyVh+Y797vEtnsgVvAuyi9LsLUE/S9v/AbRLX1brw9Wn7DIrZViM5g483RthSf2fANgikkIWlKKzM/+NMg1NYh+CKmDyd8n2vH6IV/MJ/meb4oj8ubDeqksyGwiU4r9w5jgIPt9oo4fbtGW/oHge6K3txfaD5pZdLKyXcNolSGKZaTS668MKv7Nq1818OBv0NPsnErd1u8vTjX+q2WrX9ga9SrcDTBt8zeJ7B81I87e7F/O1K9lGr8RptKcYtv7IpeKKAKvsdV1NSBbYDt1ApZ1Ykv/i7U3zszg3AvS6wdA6HG+CTjz/eqM671KNVDQwVkE/cNwow87M9Bvr/DnSPg3e9L15tiDBUnleK4PI6jbHxy/lObZU68tSUtUW2ksIfS+lbV2qbJBKdwDteM+T//KkO22ZjR5/WjGc5bbrB3ZIaiI3LfI6MILKCyOIynxZiI4iz7GeZFS2zobERxKkgSiHKdjOOEtcxn6YglE49v7b/E3/zhW6z2frmDJ7fwlHvp/xa4xYTrd5Q81PqvqvS81SapclLD7vqebMBY+caT1akjBhjbFswdlVzy6yQSipD4gn+6I4WH/18Bm65nrGr0qTwvCvg/obsnQdfbKC3hRiTJM+lr8sB7eK/F9/j2cx1SR07/juTJaQ2azAb236krE/JmZxcopBr8cydyAqyRDbgWxRa/P9u78vj7Ciuc7+qXu4+u2aRNNJoX5CEQCwCJMAYMMR4SWwWO9gvP6+EOLEhtmPHIV6eN5yExPaLHePYsUO8BZnggBcsnMdmMCBjiAVIQoM0kkb7rHdm7tLdVe+PWrqqb48kQCBwXv1+M7dvb/fe7q9Of+c7p04BoCJhy40YLr94Ctt2urjxX0oIATFpD7h+CoioEjPuBQBCpcoC7YS6kP6DujccMgIrshCpvOaUQE+Z4siiRyKsLz7XdQiKhcJvx8sT1zaViqnXNhXgK1a/Go/96tZodu8cPn5wN/KZGjJ+GJdIM4I2MYCFNYQ5+EFuU5KgWM9iiqKpCpcSILPATSW44RJsfDCLH2zMo0YdKRKbgBbcT7zKZCoaUxNLy0bCegM6TTYNtKa1TtBuC9DWDkY7EtBNWmKB3TTcZmBH0xJiOKpmqQkZ0WSyU3IxppEZ0qGZqKXpixwNpHQMRgRoiQy6i/eAD4YrL5rCpi0ufv5QXvBjiqM0LneS+TTSmYyIqFIbEcnHDZoSq0A8pi5SaXIjIIiIrGVPMW/ePD5VCaK3v/XiYwc4ACxZfhZYVPnBQe/Xi11+sABwMDkk2hRztPij77UJeGZFPNX7GOBxzonYZqTCEsG5iQvc+UAWH/5yE57ekRGcQ1twA+jUdixd2EPQGq13o2OZjGAqENvOp81bkti2O8Ax3PuUdTE9IbEGDtOxTGjiahSNZcE5eIqqwiToCaN6hgWWorBwKvRq9TXV71oxP8BNHxjHhxzgJw/kBR93yBF+IIVQWAhAHHDIDEIiuHkIUWPc4bEBimmgUVtdlpHV4zgZsKq9Y/Kcs8/8QamQnfYSTwvwQtNs/vNffPdLYAuuLUSPFxbOlFNlMFfwOhDt7CTvlBU1I+LxRSEkRCCWAwXYIz1UTSsm0nITF/jP+3P4y39swtM7DXCbFtuy5BSEQs+IZiZTUctSxFaiYZA00AB8K2NwGiBbt/hY+Alv3E8Vd7WCO0h/r8AerzNTbZWiAg1opaiQBG1hTGRXMspBdJ0U+SSmju4sEZOeZR1YNjfAje8bByXAnfflJadLJh0IrUSAm4v7oy8OjYfkcUFbdP63cVFMZMUdOoJP61jUM4l3XbVy6ODhR790ysqrUl3dIwIcAJBbg+HRUdz0/UfwlvN34KoLI1SmMjqn2Kx4aiM8zi40ObhlxRUdIVI1MamKwwAX+M8HBLif7PeBTGNmoK13i+L9SjWxBzIYerbhZDZQEkyzTmExAfhGhBs3pyEVbnqgpzmXlqrC0UBDdN6KZc1jTVzU6463KQtuzf3DKYgchU84lceKGYw1P5e5K8Kay29U51gxL8Bn/2QcnAM/1pbc+MJKy+YQvFyp4VwOmZejkDmELNjQ4c1gAdTUfxFQqeH3LzyM97wxh3PWL4CXaz3i5T0iwOf39dbojuo1F5+59NamwraCQ+vIZSIEoSdzix3tcTfeTXN0DzfoSkxPNOBVGF46m3AJfvJgFh/9chOe2unLEHwymGNkC8qwoHIsLUqCNOUk4UjC5tsN6wwaEnNye+ADrG3GCiAV6A1ZqGnY57FV12F7ZaNTahdaeeU6f9zoBNKKIykhajVGUBUFQC0jylA7U44nKEg9wsp5AW7803EwDvz0wZwyznH31J6xArejvFrE6AcUR7cvBo/VGKXURAEIqWNsIsTIxMrJ8fH8Ne2FObXnDfACGWLrT+17NOddMP6hz2wqVIL9uPyCKbg0hMc81EMPUeTqfORYlRcUBYqHw3ZIlfUmBi0RTiYHcyh+9qssPvTFJjy9wwA3ko6l+SccET1Kh6CBe8egtofZpQZ69G8gCdpilxdTP5bI/3YHsDGeBu7kOitFlie2WaC3J43V6zUXVxZaAFnEYbgGM7gs1qkyDQmP6QoVaooa4AsqLbgKLkorzxiAeoST+gL8zZ+Ng3OCjQ9ldY45gDgApLm4XMmpsOpc3j9RzDC+WNpqRwALgKgOjwdgYYQ3XVDG9VcCc5ddPM78ZY8eODjGnjfA88VO+Fn/8I697M2XnLf2nvHybd4NNzejKcfxhxdV0NEs7mAUAVRKT2IN1yBvpCmRlghNoFMHYJTivzZlcP1NTdi6K8VyQ/EMV9MSFUdXyVTK52lIpMI06bBotOQ2yG1AWwY74ZAej5amoliDHxIdRAOemDSG28EfEjufIumKg0g/ilGuk7EohdTC5TegSmGRH0YhKI3i4wBQZ1g+N8DfXzeG94XAPZuyiBQ9MS25fq8C9+pppDK3Ep6MtNwO6uhun8LbLiqjlGPYsosg2/zqoLut+mbkSocB/4jX84gAby5lMDnWj8svXjhYK488++0Nv1ryN993wWsuduw5iE9fU0ZTNuZnSl3RziVMkLMEPWF6HXU4GCXY+EgGH/i7Zmwb8EVWVAMtUaBWykkMbuFUSt6NOCRvT94aW28T8ArINtBTxl5qpci4FWk8PAH4o+E/qYNbG4iabUG+WhacSJBzg2tDKw2mZKisuNbHAUlDYsutuLqiKhxiUinAVlkA6Mqu4ADlDIvnBPg/HxzD+28CfvFwRiRdUaM7cpOWUGN5OtcdQAS050Pc8EdjeNdrA1SmOD71nbl4ct+6Zzt7Vw0ODQxg5bK+I17bo6qYvufgm7f9ZOCeJ2rv7h9ej+ZCCS3NTeA0h0hyccUNtWU2nEdKozinhETSoRR/lDBQn4O5BL/YlBXg3u2D+0mHsjFKmcw1McPxZobetFKgqZ4YoE0DcjIPxUStjW8e76u3Tw9vnlgw6YZZBD5ep3i2aZGTzigx1BRj7CaM4E8iuhmP+TTfS6WDyUHLahCzFBgYV69yYHONYHFvgH+4fgyvOqMKGjEgULxJzYsjlxGlRD/ldqjHBQGoC059sDCLw4c7sffADFzzpuU4c/mhd1fLtw4wfmSNBDiaigLAy/fh4NAUZrTl9kXBQ/fv6x9cz9kkTltUQhAw1OohCAkNupFCS2Bq3eoPoD7HrmEPD/3Gxye+VsK2AR/cT/LruApVEuQESu+W4XjYGrd2MNEIZCvQk6aoWDwblmHWRTWJvV67n9wGf3I5FezakYT2tyx6QmJLL+p7cwPYJN6Hc138klgKiqQqsJ8AepusayhnkwKRpZgFLeFgapo17SNKZxXiKUEpBwmApXMDfOn6cXz8axwPP57BriEX8DThgm3FTQseB4TExRf12yPHw6NPeiiQLDram3Bq77n3d89Ztw+YBCFFHK05R90DwN984TN47WsvG57RVih3tuKKtuxerFjgIJ9VheWZnVMi80+sAQ3GOEtCAJoBtg16+OzNJXzxe0XsOujJgcI0BczJgI6jqYmYDS2mKY4c0KBLsalROboqVfyqrbweOSOtvK5OFedpOyTO/45H2MT533FIX+Z7EyL3Uznh8fakH9DgGzT4EHanozr/2whC0cQ+yQ4Lw5HWAoDh26V0cKS9wnbIVefVy4yjo5XhvNPq6O6JsGW7i+ERakuIkD2VmMA3rQEFqCgK2+xRRBUfY+PA/EVr0NE574N7B3c90NXddyzQPboFV23hgjnI5kqPZr3q7T0t+96Yp5vhuSLrj1iUJLbk+iGp3ssLSTPA9kEPn/qnEn64MYdqRGVOdxq4zYQqxd2gJUEFajWfpc73Nm5EsraJFdjRFt684fGdS9KWhhtqrjzOLZaCiXTgjbRZEu+jFRQKQFEX8LgaFDHlQmOOywSfZ0yWY6NqfkuxTuWxUsg0W6WwQDmTBJCVXjnjICFHV1uIq3+vgowHfPIfS+gfdIGMYbm50bsIkUqKjHoyAiACpw6qEcXwRICWjj509iy4vWvmvEdHx8aP+RoelYOr1tbehag+PLBo8Wnv7+jw7qiEAVx3FLlMFa4bgjqi+A5VZYtpqHNKCOXaVFGfoH/Qwye+WsQP786hCgVuYoMbKTQFVKPUgeFYQuWbpGjeMECMRgUlyb+JkQ+hgX0E2oLkeZK94agITmriJKYqPNW+SR5ugBRxmpi2iZJnw+LVKtppv1fToTRwccm/VfVazuN5OdV7az1X9VYIWI0gwxnefGEFH7+2jPmzA8nJDb6tlpni4WZ2Yh0sqKDOJtDeTeEVm+84d92Z799/YGhg9szuYwb4MVtwACi1zMY9v7x3VzZzxuZ//vHQ63rbD+IDV9VRyIo8EteNAIfpu07k71EIoT6wc7+Lj3+lhA0bc6hBcglCICCrYSh7M42XjeewzvHWwDZ4d9qj3gCfTgoztsPcHn/dhnVqocEhTeD5+ciGSb5tAt+SCU2rrFIl0nJUSFy/0EkGf4yKtXpwBIEGMtOPAyalRlG1lqhqtiDGegCUC5lYcXUAlEdAyJFzGK64qAIQjhu+XMLAPhfwJUa4nPhK5jgJkHBwV8hBTdkqrr3sMK6+bAWyrSs3b99+765Fi85/Ttf1OQEcAKq8F23ts26c17d7/qLOPVdytgOERghYhKf6HVQCH4QIFakpz7CgN0TGE7m8jz3h4asb8rh1Yw51NXUCMQA9rUPpaHAL6c+WBVUqrCMdSxvYHA28FHbeN0kuK+BqwBLVZ21KQjCtrX5OIJ8uLwWSPiQBr7YT2wGNHUaxg5q3UsVbtIxIkglZKqhDJDWOsxaVbEhlUhaYqKDLOAeYGGPKuSiSzDiVBETUJqeUgUUcGZfhyouqAAO+siGP3zztoRYR5DxgXl+EpgKTNVOASt3BtoEMKhFBwDyMVxejveWUH3QvWH4jsPe5wvW5A/ySdfPxnVvvGmttX/aO05c9PIvQfeuGJyu485d53HBzC6pTItTLQ4bW1hCfvnYCl55bw7//LIu//moBo2UHgTadpoU2/jQVsb0gIsHtIaWWN9IAnCwOGnNzE9gKW1akMgX4CthJGhIfY4uCR2IrplpyTH1AW/gY9GaOisq2M1M4zFB/MgNRgN6gOWYwSOnglBl0hYBTCk5YTFlIrKtzqbLIRAKjkzKwkMNzBMgvOSvAX321gA0/zeI159Xw6Wsn0NYSgQfCilemKG64uYQ772/GFG/Clt1dD3TPW/GOp594ZGr56ouP8WrF7ZhUlGS77dZ/w3/86x8Gze1Lrq5Obpp3zRccfO2OGRiayKPKPVRDilrEMTpE8Nt+B+1NHJ/6egH7hx0wLUWYnDsZik+mwIr949IPcgAxga4laNUhVxbcKA9hKSfmsvVKtKJij3w36p9oJSNepxUUS02RfF6rKMlt0yseSYoFGIqN1fmI7VMQGJ+RzI400wxiHbNxWnaVrspj2yJ7eBqNMx9rcZ0VY53hRVACFHLAKUtC7B1xcMM7J7FwTgg/BDziwOE+ChkH562uY+ncKvp3duG6P75i+7YB8o31Z697PlB97hZctUzTMnDOHtm6+ZKzNu14JFeu+3CzjpgjJqgCLMLCOXVctq6GVUsCzO+NsO+gizhxgKTwbDu/RNMXaRnj8ZWxE6l4uHYsE+9tLp1eViH52pAjZTqXaRaZpL0/do6irbD5Xi4oempZZqIcS2OCKmIsm3nhiPNH1OeI0e3QTwSVOchVEhfi9VRaZ85ja84gR/DDyFBUCgvE0wBcFciXzzX5ZTjh6N/t4LdbXdzxQAZvcCLMbweCIIdKPQvGKHwvxOnLKK577ymV01YsfISqum0vJcAJaUf/nsrHWrvexP/ggqHrvnn7YLY162AqdDAUBFh7UhUff+cIzl9dB8kBZ54U4KHfZOKZBJJUpAHoKuebaMfSdCrFMm+gJ6mFM5GmliBhuRITSSXW2+viVwVlqzOkcOojoludwDzODO40vJclJgyHVH94Q4ZhomMYtERIieKkjKvBD7JDWWXhYrXFlAvltJmiEKjKNqRcp09zGbwR7CkC4RwhI/jVkx42P+3jYwM+Nj6YwcffMYGT57uYmGxCLXDgOFPYM76s+sZLX/sPmQz5K0KanjfAnxdFUe1LN32Gf/Iv5t/fXvKc/Xuds7Ks7LTlCVYuqOAv33YYr15Tg0fEmL5sHvjRAzlUam4M8KNlCcpKmJQ2UhMd2KE2NWmYoTiFlii6QsxXRUMIEoEfYmQGEHsdiakDocSgESSx75EpypEpC2lcD3s7UtZT2SPTq+LCeirp86hOq2lK45Ov8fN5Q4dHgqroiDYFRsYoPv3PJewc8hAyD/2DBWzbn0dbqYiw3obRiSz8XG/9ycE5N9790O7/vf6MM8MXgtHnbcFV+96d7fVCsenzZywfqA/umvxUIVunZ5/sY8WcIqYmCHyvAs+vo5hlukKo7UwmZUDTqoubq3Lp3WTilElJYHPIxiBOvN7MNQF0P5IrzRtjlGtLyIMkuX/DsUnQxNeMH8XC86T11uuVg2kI5AbVMGkKI4DDuWG5kxKjMXDCylXh2glV5ZfjwJCkI0qFUY4nj3TBT8CgLERYfKW7A2KU/WRNHAfXB5w8frM9g2/9mOCsxR5mdudYobXvU69dP/umsbGJ+kdfID6fP7mR7c/eeznmdtLK+jOX3n7Jq0/hS+YCHc0OJqt51AMfjDuoE+DWu7MYG3EM02iCWlEWiQS1LEEqrDXXnNseepaYpJYYjpgCN1LUFGMfAI3WCTBOkvjRuoMkyfpzbzzxmkS1mTarsw7NZCpuvCpdXO4XHxuDLFY9EuuT2xOJWXouTkZlUMhM5jLPGweFGgJBEUFLS4Q3XViFzwhAHDiuj2LGwegIx1M76ii2reROftntW3Z4lcWrLn+h8HzhFhwA+vp64WY6n6l15a+d21P9ajRxH3VoAEIZXCfCWJniiWd8hJGUNWD+xY6kJQtKkCXzu9O4tpXrjcR2pIPa7gDEBjT0V2iMdhJjX/1iFsJ/7qBXI7wajjHTppWlJgbgDQlQfSneYLXtqljJwRIqpmNtZxD1vtUoeBDDmssi+tx0cIUTKr4j0cBnUidncGTZNQ6XRjh5YR2FphC1KQbGGaoRUK4RrFq9hs2aPf/ak5Yvembn7v3HA5ov3IIDwMJFS9GUPVSftXTNN3q7y38+q8dDLjOJXLaGqVqEv765hAcey4F509cxsYBuRFG01VZAhqmWmNNrc5ujJoGdAnYYr2nRS4uKmKA1rT9p3HzsyE685Y0W27LQ6lO4fYw+NpEWq4ewqXOC2NsTltucNVmF6EVxINvyxyBOfod4ILqy5CqsL4Y3umB1B+tPqeGT7xlDKVsFqdUwOhmAFttwYJL8+dlnnf6NbTsO1pcvW3Y8oHl8LDgAtHUuQVDZFeVmvbV/cuSX5crhW0qPPjWOb/60Gbf9ooiJyJWzDBvATiIsAROZemNP8UdiNYWgkaY0AjplOJr6JMvJSjKSeOcknYlPkFgmR9kn0aan4spsN+7IE1YcRPFyY6S9sV1wcQV0bnQYI1gkOTUhppWGjGDGQ91ifq/UFwF6Qoi29qrOuK5qzykixnVdFoAg7wR4+6WTKPgMX7+jjkPj8/GuK88rX/6aU/uf2bkvWr1yyfGC5fEDOAAQpwjqDd1R6jz7T57aNfUPH/mnu9oeerIuy9NyqDRIPfzsSLfZAHDsSJpAjssHm7TEUhtoCngbOkB6bretDKSBXXeDxq9umP1jtuomHUlQjyQl0TxcOpXq40wJkRj7cvNc+jhi0BORsyJC74lCQjKiKUBuTyeuLbZ1C1XHjJ8WqngopZG+hgUKXH1hHetP5egfPWe4b/7pH3hm9/gdi3sLxxOSxxfgrt8GANi6c/SWntmvcy97XdONY9EDM6bKgxiZCDBez4HTjIhQ6hzPCEg+qw1wmw5lXK+bNy7LQy2wJ5xLkzebmrf+WE1bbB6d5OHmd4ReT45gjY/QEiF7k6IQAgvAgJ1oRRLWnFjbzZE8cvJVFc5XVpwYZZgBK/zPOET5NgqDwogyEybANR2xfq/KK4DMPnSEXk4pPI+jPBXh0GgB+dxszJ574aGFp1z0F0DllqV9s44nHAUmj/sZASzpa8Hh4fK/XHvlebQnO/o5n/XP+P7/reBnjzaBeh4oIagzgEVBDHSTh8ubbtISq+QaTVh2EqstsYXmDbQkybGVHU5aeZjrrM7R6EDanYFYYCRHwTZg2jsDzCnOpR0IUvUKVcBHAhemFJioTGs4m8QANyeCx1iWHKJ8sRrHqUf5gGk50Mxr0dcWgFkSRPBvgjB0EUUOKGXwvQj3PEHx3Z/PxPve8qpDs1a8/qNBPfoXP9P5YkDx+DiZaa2jrYQdW+77xilLmj588uJZwwwechkPPTmOrixDjnKgFgG1uigNwEMB9NiVsjQWU/9u0MINcJuDHdJUFLNZ60wHMmHxzc1Jy22fMHXxqM0s/zCt46mlQQFEc1+VcRqHNUlCSCeN51HRTOO9JQlOt5x0UPVHiEeKGvji0BDFXB35bIQoclGeymNsooiJqQLqgQfXnzc8eKj5wxtuu+cbfub5RyqP1l4UC67aqWsvxZ49W74zWZnzkeaWn7TNLO3CjJKwermpGk47+yD2H4pw36/zqDuekBC5Y6EjWU8wDdy2g8ltq51GM4jBvYEE346b4tpJZzTNUif9zWNkJg0rbMWjcaIPNSbTdBKJeZwVzIktt3gyGLwd0ik0qmQB0OMrGYisMKtG+AiKE8/iRuOnByS+ZeEm1w0BJ8Ddj/kYPESwZpGHkbFmUMIxMeXglGWdZZbt+NOJ6sHvX/OH73wxIfjiAhwAOrqXhMVa+M4lc56a1+ri6wf27cr2zMhh0dwQl5xTR8jG8eGvhLjr0SaEzIEo8yXudlzPRM3SpsZWcnt4mqItkBNjIV0anE7lsNkHaeDaQNwhAAPQhKTTkDRun2wJhKf6aqaDaTiISc1cUwWZJWg5pDA7jeTtkqKAx89LBg6aAnIihHD9wwhRiVbx00D9ZjVTNSEB7nrUxQf/sQNB0IxL1+SweGYe7S0h5vf1VbsK7e968/nZH05OheyaFxl/LxpFUS3rEv6d72z4ZU9H8XvLFvVcfeaahdW+Ho4V8wmKfhaL+ziuuHASJVdRFAFwQU2IVd/EnBFADyJWwCfmCHqDTyc5OBKgT26bVklBTF/UAcaxSO57DM3MICSAphSmNYax3PDKY8uL5HvE+rlWXQzObJahiCthQVMQwZ/FXJimNh4xikgVzze+rCIslEaYjDhu3ZjHMztKGKkU8WS/g60DAbg7r8rd3quzxZ4fbtnhR+19f/Riw+/FBzgA/Ml73oLmfCXqH1192/LFM9++ekX3VFvTOEAqmAiYHKyjVBUuL5ihmkjLrROtVJ43lfNZmiH6JO+W6LHk9hRwijcxn5lOHrTW6eNTnE+539EAn6xWZVNwYq8wgzoGeJP0JHnuhtPojpMM9QsKomZ/UDNBRBGVc84TewYIOS2K+KpxXRzlzDZ5AQgPsHeMIVuaOUUzM96+7oKLbnvsyXq0+swrXgrovfgURbWrrrgcD95zKz/rvM/fOjLwLvfgoeav3rRhtPnx7S0YGeeYCjhAIu1oKlVEAdssA+HqQQncHlOJaRzJI30xYlvu6Sy47gikoY+o0+ilY+HgVjPoiK6kQJK0AhbnbjhGf2icC04UDeFiAITxUTr5ieivIC17nMEtbgchcppuyJ7BQAgFZUwmWqmcb/l54Mh7HB946wSuvrSCTc8041fPnDJW83v++G3/64lbq3WKd7/jqpcKdi8dwAHg7PMvx9ium/CWv+353jnLmr3DOOOmobGH209fsgVBSPBkvwdGIn25HXCdEqtmJBazvhlh+mlUjVQaoZcNPm0el+I4EuNEFrAV/56uA00fpjxis3Rw+aH6VCkOJk9ZZ3L3tHiavdqMYsqrw2F1fPE5VKs34unqiAmiFFUhEHMz+SGeftbHps0ZvP5VbThv7dqh8Wrh+q6+ke/Vo6UvKbiBlxjgANA853oAwM2D4/9KqOfu39P0+Z7igRnX/V0Ze/bUMBI5ABM6qiutt0c5PCpmC1RAV5RE0wDj8Z3W0vBGpgG0ArWlwJjrLF5v2u7n35IBHfWdNZ1osNZxyL0hWpnYT58LSH36iM83uLm+JuLCUiKimK6hZ4pIMoXrUIATODSC64YYqwOb+13cvOEkzFp6yaHXLV/3kRwL/5WQ9hdwdZ5/e8kBrtrcWU3gfOKbvd0Xkyc343N+ZuOM66/ux72/DXH3b4twCYHvMPgO4DmA5wKeEzuYJsD1jbHkscbPTKMVVhAnTV40FZgEPbHWywMaUmueSzPD6/Gi7sAxTSHamiqRwzHC+2ZI36QipOHDjHeGTg7z+sknFWUcnIoiqWoTpRxh5MisQYaf/9rHf21qwfqT2/Gh6y4+tOqk13x0YB//Zt9MDyeqnTCAi2tXxBPb699gmdeE77y89e+Xd/x768qFW3Hvlgg+BbIOR8blyLiA7wrLLcYs21KeuDniEZ0sRmk2DRbjPaA03AT31oC2gQ8J5rSs2Li8RFwzvHEv47MNDdtcp/OU5Dl0qB0mEBVtIbLOiQS97A1KR2+QLBt+n/H5zAzkxNePACCUI5KTAEea1wMOZYiYi2od+PJ/tOLw6Apc9YbzRk5dc/KHHKf8bUJaTyTETizAAeDkhT44D2+J5p06PD749IL2njlfcPGMV6ARCj5Hzo/B7TgkHoKmrjzk9M6MIGLcsoA85TGd+vw2LHMyCBRzUdLA8YnBa6wQe6IdiaOn0gYed8YkyNWhVk6KttxGRmHyu+gnUjzlozlPvRnhDCMxZZ+agzNObpNDAyOKKBIJWACH6wSghOLSc9cF/Xu7Pjxz7tr+qUrux02ll0SkO2I74QAHAEJcVh7ZdEfr3Av9YHDv1Hv/YOZXHnn4CeLyCs1nKVwnHi+pAK74sApdh5G4SRG4BHyMZSKP04949bnyn6WQEGPwsbksd6GpPFz9jkbn9qi/Xb6ajqS50sSqKt8nfofpWKrahWZQxyQ5jZbbnNtUdXwGIQ+GEUEYykHGiH+/mqrdIUCdUgQhRRgCrtvCWrvP4a9/1dL3PbV/xbf27n+mPnv16hMNKwAvE4ADQKn1NNz38JZ6c1PfLWtOovcUSOXykeEDnz6wfx8cx9FSlDkbsaIPYu4YjiiK5zGPVAU5Ze2VcU9YNw1y04qr4xosu7lvrKzoZpjitEBSWjNpgGm1YXxNKc6Bwsj3Tgn8xBNHEaQ5IXoqdT2Jr4j8gouZzhgXpZCDkKAWCJ0bMIooEfkElUYkjIDurl64+ba/zpYW3tpS6Nvd1X6oXmhdfaLhpNvLBuAAcO6ZSwGg8vVvbdjW3jPv80vmNfsH9rd87MmtO51qtQ7PpYYFksV3qJK5GGoBQxABtZDImQ1UoEhaMaprm2ppS7VGbirQrWfdRYKmGMi3HM8E9NMkyOkUE/VKDBCbhwqgi9R6Bfq43olRD8XKNFRfM66FTong0uakvkxOITgFF5Wag0pNcHFdsYCa1p+BOj7yzQsiJzfjMytPb/n85t+MRytPX3CiIdTQXoiy9aK2/7j9R/j9N74BBw4c/szPNt73548//nhmamoCQRCCEALHIfBcCs8Vy2HIsH0wwLMHxc13COBRLqXFeNl1oPm8eu9QIrX2uAZ4XMUqWcHK4OgWpTFrgCdeYYKD6KfAdIX3qQWmNGoR72fm6VCqHHEO1xF/jqOWmXh1GTyHiVmr1aus3Q4Q7BgsYOuuAoKQwnEA35M+kMOFjwMHrS1FLFu+qrZw2dl/V2rq+NgvNt6JV1902YmGTGp72QIcAIZHxkERgYN87tlnd5z105/+jA6PTZ518NCwW8r7KOQ95LIU+SzBjJYQu4aG8e3/ohifzKPkA3mXI+NwS2Z0pezoGgB3FcAd8Urkew1aShpokQYrYitv1kxR2zTQkewQKcAmjQBXVlc9TWCAPJ6mhccl6hzVqRlcl4sosMvhKWC7TCy7EVwngu9F8L0AuWwN5UoN3/15G/YMtqOt2UEu66CQJchnGDJ+iHyhNQx57qHzzr+YzZo996Eowkd9nyCTffHSXV9oe1lRlGRra9UX7qPf/cGPsPSkk0vj4xM379g5cMXUxBD13RDNBaC1KcKszhouOL0Mx5/C577XC0ayoDJTghAOhwFM8RMYgFOv0nqTI1nuNAfTIO6E2/KlRUOmJeHxNs3BrWBLvIsSiRQfF8PMxHcmTPBpJqcvocoJhX0u7ShSAXLPC5HN1FHMlfHlH/n49l0lnNwTgHOG5iIDiwgK+Tx6e2exrp7eDZls8T3l0d3l/JJVJxoex9Re1gA321uvfAO2bHu2nM1k/3TvvgXbtzz13yson3jj5Gg/mgocpXwdGZ9h7ZIKaFRFNcyg5hB4DHC50G4dUz6E0neJ4bgSydlVEc4jgDstyYUkF0jqbgDiVNXE9rQhavqsBviZyi8xv4/U9BjneqCCiACpfcR06pQyUIdLihLBc0M4Tg2PbC1hKnBQrjDkygGiqI6+viWYNbvt9pNOXrW5s7Pri7Vardze2Xei4XDM7RUDcABYung+ABw+eGDwhhXLFszds/sZDB1oe2O9/Dhy/mF4ThWBnEcpAkHIOELOZRYctyKAgOGsEjM7kUjnNUEnjO+hh6lpMJqSDGKLrlalgFhYfH0a6/CkdqgDQIiVICKfGJyK2oDKMyWEI5KvlKrROEJeURY8djDlXKXyzL4TIaiHODjO0NVewllrV2D1qiW3L1++5APl8uRAsbnnREPgObdXFMBV6+yahfLY8MDcuUs+VCr6tziY835UHzsX0b34t7s5ApKDL2MMIRNAV9Khtt4msB0i+TcBdZKlko/sptjxFA5CqI5i2hY/cZwtU1tURDdDnkkDOSBwzanUxQ1hkTIZCzCeACa41R+FyPkOwyzetG4UTw/24uL1p+P3zll834y2/BdPWrrgv+tBMDB3zuwTfdufV3tFAhwASs1tALCdc74dwObygXIP9ed9rWv27oWdpe1OGAaYDMWoTo9yhBzwmBy/CEOFoESqKERGSomhohhSHwfMWn52UymmtmOZ1MzjvbmMTiIGsBG2nyYIaYyjtDdQLlSj+AkVP3lch+g55uNopKAnnhuB0gCVqosgasNF61dGme4zttfq3ntfd8nZ+wBsO1oHf7m3VyzAVZM3YBvnu7cFAXvNhWf3zHr9+es2fGvD3U13PTxQqE5FyDoUXgTUCYfHBJFVdEQoLASeBjexrDcxAChGuHAN9DTw2klaROerx+dQYyBVmFz8T8v1Nh1hdbyO0qp95HGMSKAbeSQEQOjIiCQBXAlqNd2j71VQKjo4NLFqsnnma8fBp968vtQ3COIOvNKBre/Hif4Cx7NJfk0nJyab7330qbXlKvv6g489G259ur/twKFDpYkKR8lnaMtzNBcpCjmKXIbC92Q6ADU17XgOTECEycOIIYwYoigGOFXRPUJAKdUdx5IWiWF9GY/nfif2OZTUp+fmNCbD4ByIIiAIRQRRWXEzsmvKjK4DZH2OfJahkIvQVKihtVRFqVBDLXSQL3SVe2bOHS62LnFr9ey7I/fUXxVLuTEWgTnu7w4sfnd+idE2bx2A7zl07+Hx7PlnfLK2c8enPvj4k79429d+eCCojAVLW3P1rMMraCo4KOZdZHwHjmMn9KuwtNLGGQeqNYapSoQgFAh1VJDIIQbASbxelUBHDNAw4ogiIfERQFMic381JE8N7nClElIPCSYrQKXGwLlJr+yOBIhgT8bjKOY4moshOjs8dLcHVScTbdlycJl3+uoLb+ltvvRvkfn3DJy2KnjIiL/wRN+6495e8RQlra1YMhcQUe2pg/u3w3W8L2R8+oVXn7HKaW8pfoUFlcWDewbWVSaGHN8NkfEZKpUA9ZDCcSjkLNWglMB3gawPeB7HwRGGiakQEePwXAIQGlMQK3gTW2THSVjwkCOIGDhX9fqEn0BJY5EIIgM3vgd4LkOWAeOTDKNlBs8hyGYcEI/Kcg6KHjFMVeoA8VAqeCgWs+jo7ohm985+oLnJ3RaFI9eyA5MRoTnsHN3I582dN3Wi79eL2X4nAW62zu6FQKzEhYeHRt/j+37ryMjwZ3/5wL3+8OE90Yx299Q9B8M1Bw6MIetVEEUU1ZDA4RROlqBU4JjZUUOEcTy2LQMXHlqKwrISl2gHU6kYKvroqAiqGz8qy5MMlWoEAsB1RTSVyrGNSjThiIv5UAL4HkNbKYTjTWLzzhADBwroaaVwHALfE2eemKwjjBj6Zucxp7cDew+5v3Ypf6yze66zZu159ba2tr+s1esj+Xzzib4lL2n7nQd4snW0twDACIA/BoDfPL4RnkPOxbO1i+fPj97cWqguOThUxT0PbkVTngM8RNarYmbHEDY9O4kdh7vQUwSKOZFd57oUDqVgnIMzNcKfaB6c8TlyGY5SLsL4VIhtuzkmJoBijiCbEXVGHCZkEMWfAUFnACDjA57LUcwHmNE+Bj9fx7ZBD1mHoJinaC7l0dnO4eSWImBZzJ+d3zqrh2/YuT/3c4fy+y44/5ITfclPaPsfB/BkO2X1RQBw3/j4yH0AuZ+SYMHAnmH2s/t3sRVzOuct6JvxERLsRPesVgwMDWL/UIRmp4bJDEFrk4OmAoXrcBweDVEPOPJZF/AEdXEdkahUyEaY1VlBfqqMPWNZTI5l0dvBQR1xLJN3gVIg6zPUA47hMhMJZQ4BKdbAeRWFTBWnLSth+4HFWNwFnLaqD4SNfr6juHfHgpVrKXXbaS7r9gO4a9HythN9aV8W7X88wFVramoFgLvU+6Ghw3A9v2X48P6Hhg9ytLS3BOvWnnLd6hXeRU0ZDt9lGBzYjO6WCbSUpvDgbxnKlRwKlKNeD5CRVzYMOVwaoJidwFQ4gpHJZoyNOWjLA1nfQZVHABz4rgeH+ujqcHFovIJd/RzNWQezelqxcs0qlAocpXwNa9vrGx/f4/39om7qrVx5EmbN6rmvVquPdnR0nOhL+LJs/x/g07T29g4AGAXwnwCw+Zl9WHsqtjiIulzKWRQFmBwdQFOxgo7WCJ5HMFmJgksvPPMT5fLEZaVcGGQzHNU6QXd7iJYZk+DFCZxzWgETY3nMbueY0eqiVufIeMCMtpyXzxfvrI9t+oTjwZsMKPIehZ8tYFbvSchkHLgup+0eP/DZ92MHzcw90ZfoFdF+J2XCE9UeeeRhEEK6Bgf3NxdzdZ7NcJSnKHraInS2TWG0UsEdD+YwMZFFVzNHZ6uLyQqD7wJd7XnS0tY5xjkOnH7GmSf6p/zOtP8HzW3At5FPb2gAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTc6MjI6MzkrMDA6MDDkEul7AAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE3OjIyOjM5KzAwOjAwlU9RxwAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 37239439
{'hecke_orbit_code': 13511623549387456, 'n': 1, 'trace_an': 4}
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id: 37239440
{'hecke_orbit_code': 13511623549387456, 'n': 2, 'trace_an': 0}
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id: 37239441
{'hecke_orbit_code': 13511623549387456, 'n': 3, 'trace_an': -1}
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id: 37239442
{'hecke_orbit_code': 13511623549387456, 'n': 4, 'trace_an': 0}
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id: 37239443
{'hecke_orbit_code': 13511623549387456, 'n': 5, 'trace_an': -3}
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id: 37239444
{'hecke_orbit_code': 13511623549387456, 'n': 6, 'trace_an': 0}
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id: 37239445
{'hecke_orbit_code': 13511623549387456, 'n': 7, 'trace_an': 7}
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id: 37239446
{'hecke_orbit_code': 13511623549387456, 'n': 8, 'trace_an': 0}
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id: 37239447
{'hecke_orbit_code': 13511623549387456, 'n': 9, 'trace_an': -8}
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id: 37239448
{'hecke_orbit_code': 13511623549387456, 'n': 10, 'trace_an': 0}
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