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mf_newforms • Show schema
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{'Nk2': 21600, 'analytic_conductor': 79.65257850774982, 'analytic_rank': 1, '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': [1350, 2, [1001, 1027], [2, 1]], 'cm_discs': [], 'conrey_index': 649, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [64, 0, 1]], [11, [-18, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546932661880134, 'hecke_ring_generator_nbound': 17, '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, 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': False, 'label': '1350.4.c.n', 'level': 1350, '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, 3, 5], 'level_radical': 30, 'minimal_twist': '270.4.a.b', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+2 i q^{2}-4 q^{4}+8 i q^{7}-8 i q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1350.4.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1979174527229186168, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.983', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '155.952', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.508', 'prec': 17}, 'traces': [2, 0, 0, -8, 0, 0, 0, 0, 0, 0, 36, 0, 0, -32, 0, 32, 0, 0, -46, 0, 0, 0, 0, 0, 0, 32, 0, 0, -312, 0, -170, 0, 0, -60, 0, 0, 0, 0, 0, 0, 492, 0, 0, -144, 0, 252, 0, 0, 558, 0, 0, 0, 0, 0, 0, 128, 0, 0, -1584, 0, -1814, 0, 0, -128, 0, 0, 0, 0, 0, 0, -540, 0, 0, -296, 0, 184, 0, 0, 2246, 0, 0, 0, 0, 0, 0, -760, 0, 0, 396, 0, 128, 0, 0, -1152, 0, 0, 0, 0, 0, 0, -3384, 0, 0, -128, 0, -708, 0, 0, -1186, 0, 0, 0, 0, 0, 0, 1248, 0, 0, -240, 0, -2014, 0, 0, 680, 0, 0, 0, 0, 0, 0, -1980, 0, 0, 1288, 0, 240, 0, 0, -3208, 0, 0, 0, 0, 0, 0, 1016, 0, 0, -2436, 0, -4496, 0, 0, -576, 0, 0, 0, 0, 0, 0, 1008, 0, 0, -1968, 0, -3084, 0, 0, 4266, 0, 0, 0, 0, 0, 0, 576, 0, 0, 528, 0, -5102, 0, 0, -1008, 0, 0, 0, 0, 0, 0, -4476, 0, 0, 4768, 0, -2232, 0, 0, -2824, 0, 0, 0, 0, 0, 0, 6992, 0, 0, -828, 0, -614, 0, 0, 3792, 0, 0, 0, 0, 0, 0, 240, 0, 0, -512, 0, -4248, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 2], [0, 0], [-4, 0], [0, 0], [0, 0], [0, 8], [0, -8], [0, 0], [0, 0], [18, 0], [0, 0], [0, -8], [-16, 0], [0, 0], [16, 0], [0, 15], [0, 0], [-23, 0], [0, 0], [0, 0], [0, 36], [0, -63], [0, 0], [0, 0], [16, 0], [0, 0], [0, -32], [-156, 0], [0, 0], [-85, 0], [0, 32], [0, 0], [-30, 0], [0, 0], [0, 0], [0, 74], [0, -46], [0, 0], [0, 0], [246, 0], [0, 0], [0, 190], [-72, 0], [0, 0], [126, 0], [0, 288], [0, 0], [279, 0], [0, 0], [0, 0], [0, 32], [0, 177], [0, 0], [0, 0], [64, 0], [0, 0], [0, -312], [-792, 0], [0, 0], [-907, 0], [0, -170], [0, 0], [-64, 0], [0, 0], [0, 0], [0, -322], [0, -60], [0, 0], [0, 0], [-270, 0], [0, 0], [0, -254], [-148, 0], [0, 0], [92, 0], [0, 144], [0, 0], [1123, 0], [0, 0], [0, 0], [0, 492], [0, 771], [0, 0], [0, 0], [-380, 0], [0, 0], [0, -144], [198, 0], [0, 0], [64, 0], [0, 252], [0, 0], [-576, 0], [0, 0], [0, 0], [0, -1192], [0, 558], [0, 0], [0, 0]], 'ap': [[0, 2], [0, 0], [0, 0], [0, 8], [18, 0], [0, -8], [0, 15], [-23, 0], [0, -63], [-156, 0], [-85, 0], [0, 74], [246, 0], [0, 190], [0, 288], [0, 177], [-792, 0], [-907, 0], [0, -322], [-270, 0], [0, -254], [1123, 0], [0, 771], [198, 0], [0, -1192], [-1692, 0], [0, -1748], [0, -948], [-593, 0], [0, 1062], [0, 326], [-990, 0], [0, -147], [-1604, 0], [-1218, 0], [-2248, 0], [0, -2998], [0, -3470], [0, 387], [0, 855], [264, 0], [-2551, 0], [-2238, 0], [0, -2180], [0, 2577], [-1412, 0], [-307, 0], [0, -5234], [0, 1509], [-1211, 0], [0, -6246], [-4650, 0], [-3145, 0], [1020, 0], [0, 6741], [0, -2340], [6198, 0], [875, 0], [0, 5486], [-3204, 0], [0, -7322], [0, -1353], [0, 1658], [-1044, 0], [0, -2588], [0, -1449], [4880, 0], [0, -7744], [0, 804], [2815, 0], [0, 3738], [11022, 0], [0, 7544], [0, 5404], [2335, 0], [0, 6633], [7566, 0], [0, -7420], [-8502, 0], [1903, 0], [-13482, 0], [-1537, 0], [-10368, 0], [0, 13168], [-7319, 0], [0, 4119], [5388, 0], [0, -2752], [-4314, 0], [0, 5794], [0, 6309], [-14826, 0], [0, 6758], [-14574, 0], [-12611, 0], [0, -15639], [-15420, 0], [10494, 0], [0, 10708], [23030, 0], [0, -3814], [0, 22266], [0, 23844], [-7488, 0], [5111, 0], [0, 6986], [0, 20571], [0, -23241], [-20208, 0], [-9055, 0], [0, 15554], [0, 5632], [0, -9141], [13372, 0], [11165, 0], [-912, 0], [0, 27952], [0, -6285], [0, 16497], [-14844, 0], [31934, 0], [0, 24352], [0, -10374], [0, 7347], [-5371, 0], [7086, 0], [-17186, 0], [23814, 0], [0, -22732], [0, -4664], [-5501, 0], [0, 27096], [-5659, 0], [0, 37694], [-6588, 0], [19, 0], [0, -33639], [0, 23474], [0, 7917], [41202, 0], [35492, 0], [-7146, 0], [0, -8882], [0, -21705], [-29018, 0], [-31164, 0], [0, -49160], [0, -2349], [28195, 0], [0, 23997], [0, 46286], [39636, 0], [0, 16744], [0, 1251], [0, -36988], [16404, 0], [664, 0], [39642, 0], [0, -36028], [23058, 0], [0, 19953], [0, -25638], [0, -27034], [14802, 0], [0, -9186], [0, -31647], [-48823, 0], [0, -13066], [24361, 0], [0, -23013], [-31260, 0], [-8953, 0], [2760, 0], [0, -55628], [-11321, 0], [-17064, 0], [-59629, 0], [55644, 0], [0, 44794], [-38114, 0], [0, 2030], [47892, 0], [0, -29162], [0, 32118], [0, -22689], [42180, 0], [0, -17044], [0, -70844], [57379, 0], [-18636, 0], [0, 13954], [0, 62709], [-28783, 0], [-29208, 0], [0, -14643], [0, -31929], [-50407, 0], [0, -53876], [0, -32046], [0, 71448], [50706, 0], [-12400, 0], [0, 11774], [-22979, 0], [-65556, 0], [0, -9174], [48280, 0], [0, 70743], [86340, 0], [-11020, 0], [0, 7016], [44142, 0], [0, -33680], [0, -34788], [-64356, 0], [-72655, 0], [0, -29746], [52968, 0], [0, -62661], [0, -43923], [30434, 0], [-9299, 0], [46164, 0], [0, -19370], [0, 34041], [68293, 0], [0, 60087], [-74466, 0], [0, -20074], [9012, 0], [0, 1918], [-32339, 0], [48320, 0], [94338, 0], [0, 36340], [0, -36015], [-9461, 0], [0, 58239], [29886, 0], [-28146, 0], [0, -56700], [22871, 0], [0, -37478], [-84161, 0], [0, -106422], [-33198, 0], [0, 115484], [79008, 0], [-96476, 0], [0, 74823], [0, 7958], [-13902, 0], [0, 94245], [85147, 0], [0, -1875], [-85632, 0], [110693, 0], [0, 49376], [0, 93147], [0, -46960], [0, -44402], [0, -56973], [-88823, 0], [0, -1772], [0, 78021], [-19028, 0], [-3192, 0], [76434, 0], [0, 84022], [0, -64938], [-11773, 0], [0, 84998], [0, 134206], [-52571, 0], [0, -29002], [0, 89152], [0, -44253], [40783, 0], [-34663, 0], [-129258, 0], [0, -62640], [95807, 0], [0, 113535], [6311, 0], [0, -94084], [-59988, 0], [0, 60418], [0, -85566], [93751, 0], [-22440, 0], [32568, 0], [0, 100995], [0, -11850], [-122166, 0], [0, 31930], [139104, 0], [-25213, 0], [0, -165102], [-73872, 0], [0, 80012], [0, 112246], [0, 13251], [2800, 0]], 'char_orbit_index': 3, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 58546932661880134, 'hecke_ring_character_values': [[1001, [1, 0]], [1027, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '1350.4.c.n', 'level': 1350, 'maxp': 1999, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 21600, 'analytic_conductor': 79.65257850774982, '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': [1350, 2, [1001, 1027], [2, 1]], 'conrey_index': 649, 'cusp_dim': 774, 'dim': 72, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 137506063686, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '1350.4.c', 'level': 1350, '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, 3, 5], 'level_radical': 30, 'mf_dim': 846, 'mf_new_dim': 72, 'num_forms': 28, 'prim_orbit_index': 2, 'relative_dim': 72, 'sturm_bound': 1080, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1152, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 564, 0, 0, 912, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, -6324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -576, 0, 0, -4608, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 3396, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7572, 0, 0, 6192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 2520, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17316, 0, 0, -2256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3648, 0, 0, -2436, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4788, 0, 0, 6072, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3240, 0, 0, -22992, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10752, 0, 0, -1152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25296, 0, 0, 31692, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 53592, 0, 0, -14568, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8736, 0, 0, -35376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22728, 0, 0, 2304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18432, 0, 0, 13080, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -81264, 0, 0, 17568, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20352, 0, 0, 13680, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7548, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13584, 0, 0, -45144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22452, 0, 0, 6576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42552, 0, 0, 77340, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54384, 0, 0, 30288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24768, 0, 0, -30144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 62064, 0, 0, 17112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8064, 0, 0, 7332, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -61860, 0, 0, -864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10080, 0, 0, -17076, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13896, 0, 0, 61728, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 79536, 0, 0, 40308, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10344, 0, 0, -69264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9024, 0, 0, -110640, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -149196, 0, 0, 23808, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12720, 0, 0, 55440, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -85872, 0, 0, 14592, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9744, 0, 0, 2436, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120936, 0, 0, -190128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -47280, 0, 0, -62748, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28620, 0, 0, 19152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24288, 0, 0, -11160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -75444, 0, 0, 130680, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2256, 0, 0, -83376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112092, 0, 0, -12960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 91968, 0, 0, -112068, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12096, 0, 0, -15864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -150768, 0, 0, 66192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 222000, 0, 0, 43008, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4608, 0, 0, -106344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -25248, 0, 0, -32544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20016, 0, 0, -9780, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -105912, 0, 0, -101184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -126768, 0, 0, 479376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22056, 0, 0, 482208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12576, 0, 0, 259644, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -416592, 0, 0, -214368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 58272, 0, 0, -471444, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54024, 0, 0, -96768, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44784, 0, 0, 113316, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 229680, 0, 0, -34944, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 141504, 0, 0, -138828, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1608, 0, 0, -152232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176304, 0, 0, 61032, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -289740, 0, 0, -90912, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9216, 0, 0, 125856, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 245196, 0, 0, 336192, 0, 0, 0, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 717394
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1350.4.c.n', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '270.4.a.b', 'target_level': 270, 'twist_class_label': '270.4.a.b', 'twist_class_level': 270, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 717395
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1350.4.c.n', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '270.4.a.l', 'target_level': 270, 'twist_class_label': '270.4.a.b', 'twist_class_level': 270, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 717396
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1350.4.c.n', 'source_level': 1350, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '810.4.e.b', 'target_level': 810, 'twist_class_label': '270.4.a.b', 'twist_class_level': 270, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 717397
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1350.4.c.n', 'source_level': 1350, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '810.4.e.v', 'target_level': 810, 'twist_class_label': '270.4.a.b', 'twist_class_level': 270, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 717398
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1350.4.c.n', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1350.4.a.f', 'target_level': 1350, 'twist_class_label': '270.4.a.b', 'twist_class_level': 270, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 717399
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1350.4.c.n', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1350.4.a.t', 'target_level': 1350, 'twist_class_label': '270.4.a.b', 'twist_class_level': 270, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 717400
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1350.4.c.n', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1350.4.c.g', 'target_level': 1350, 'twist_class_label': '270.4.a.b', 'twist_class_level': 270, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 717401
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1350.4.c.n', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1350.4.c.g', 'target_level': 1350, 'twist_class_label': '270.4.a.b', 'twist_class_level': 270, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 717402
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1350.4.c.n', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1350.4.c.n', 'target_level': 1350, 'twist_class_label': '270.4.a.b', 'twist_class_level': 270, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 717403
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1350.4.c.n', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1350.4.c.n', 'target_level': 1350, 'twist_class_label': '270.4.a.b', 'twist_class_level': 270, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 717404
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1350.4.c.n', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2160.4.a.c', 'target_level': 2160, 'twist_class_label': '270.4.a.b', 'twist_class_level': 270, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 717405
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1350.4.c.n', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2160.4.a.m', 'target_level': 2160, 'twist_class_label': '270.4.a.b', 'twist_class_level': 270, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 1889075
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 58546932661880134, 'p': 2}
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id: 1889076
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 58546932661880134, 'p': 3}
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id: 1889077
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 58546932661880134, 'p': 5}
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id: 1889078
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 58546932661880134, 'p': 7}
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id: 1889079
{'charpoly_factorization': [[[-18, 1], 2]], 'hecke_orbit_code': 58546932661880134, 'p': 11}
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id: 1889080
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 58546932661880134, 'p': 13}
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id: 1889081
{'charpoly_factorization': [[[225, 0, 1], 1]], 'hecke_orbit_code': 58546932661880134, 'p': 17}
-
id: 1889082
{'charpoly_factorization': [[[23, 1], 2]], 'hecke_orbit_code': 58546932661880134, 'p': 19}
-
id: 1889083
{'charpoly_factorization': [[[3969, 0, 1], 1]], 'hecke_orbit_code': 58546932661880134, 'p': 23}
-
id: 1889084
{'charpoly_factorization': [[[156, 1], 2]], 'hecke_orbit_code': 58546932661880134, 'p': 29}
-
id: 1889085
{'charpoly_factorization': [[[85, 1], 2]], 'hecke_orbit_code': 58546932661880134, 'p': 31}
-
id: 1889086
{'charpoly_factorization': [[[5476, 0, 1], 1]], 'hecke_orbit_code': 58546932661880134, 'p': 37}
-
id: 1889087
{'charpoly_factorization': [[[-246, 1], 2]], 'hecke_orbit_code': 58546932661880134, 'p': 41}
-
id: 1889088
{'charpoly_factorization': [[[36100, 0, 1], 1]], 'hecke_orbit_code': 58546932661880134, 'p': 43}
-
id: 1889089
{'charpoly_factorization': [[[82944, 0, 1], 1]], 'hecke_orbit_code': 58546932661880134, 'p': 47}
-
id: 1889090
{'charpoly_factorization': [[[31329, 0, 1], 1]], 'hecke_orbit_code': 58546932661880134, 'p': 53}
-
id: 1889091
{'charpoly_factorization': [[[792, 1], 2]], 'hecke_orbit_code': 58546932661880134, 'p': 59}
-
id: 1889092
{'charpoly_factorization': [[[907, 1], 2]], 'hecke_orbit_code': 58546932661880134, 'p': 61}
-
id: 1889093
{'charpoly_factorization': [[[103684, 0, 1], 1]], 'hecke_orbit_code': 58546932661880134, 'p': 67}
-
id: 1889094
{'charpoly_factorization': [[[270, 1], 2]], 'hecke_orbit_code': 58546932661880134, 'p': 71}
-
id: 1889095
{'charpoly_factorization': [[[64516, 0, 1], 1]], 'hecke_orbit_code': 58546932661880134, 'p': 73}
-
id: 1889096
{'charpoly_factorization': [[[-1123, 1], 2]], 'hecke_orbit_code': 58546932661880134, 'p': 79}
-
id: 1889097
{'charpoly_factorization': [[[594441, 0, 1], 1]], 'hecke_orbit_code': 58546932661880134, 'p': 83}
-
id: 1889098
{'charpoly_factorization': [[[-198, 1], 2]], 'hecke_orbit_code': 58546932661880134, 'p': 89}
-
id: 1889099
{'charpoly_factorization': [[[1420864, 0, 1], 1]], 'hecke_orbit_code': 58546932661880134, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 14, 'label': '1350.4.c.n', 'level': 1350, 'portrait': 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rRhfiplpRvQHQpGicfqQLBpyrDcMZw4r6h5PptmYdtCxMa5ERvmQjbNhWzbaNmxSbFvu0ddNTl6os2Dz/o8fjDh6eMxqerxjts6vPuVlrqa4+DxaY6e0Zy+kHIuA/eLS5Ybr1rk335gle3zU5y5MM2F1RrLHY/VjmStl9Lpp3T6sP/IEifPru07cnLp1c8dX931/MnVL73yLe+L7v3ix77RkPgr3f5WM/iJc122bwxJjfq5xx4/8sr/45c/I19zzdFX/sQ7T+lOf5Zuv8nSWp3lTsByR7PcgZVOykonZnkt5dwaHF4WLMyv8R++b5mb9jY4eX6WMxeanFnSnF+2nFtKOLWYcqGXMD074lXX9HnFFeDLOoEKOL9S4+yS5tyKYBBCkhhqvqFZS5mZSjDA8XMJ3T7s3OjRrIdYK0D49IeGHZtCltc0WCdF1voQJmCxrHQitm7w6A0VQlmECWnXPHZsHrE2EBw/o0mNZq4tadUEgQdJIhiEknMrkrPLlvOrCUEwAi/hliv7vPIqwUK7zvJqm5PnA84swfmlhPMrCadX4PCy5eVXLvEfv2+VTdNtTpyb5dxyncVVn6WOZGUtZbUbs9pNWekZFruC8wPBSmfIf/7HcfItr5i/X0x9n1H1S+8/eVb9q1fdGCHE7DcaKi95+1sbZH7k9z/Bjk1tDh5b+tkv3v3Vf37X1x4Ljh3vcnox4a0vj3nZ7g6gSFJFaiSpAWM01iqcsQJCpAhhObI8w3/4A8HP/uB5rt8d0arP0qy3aDcCWg2P6bbi/LLi3KrmKw/U+Px9CZdtH3DFnoSV1SH7tod811sNcaIQWD7zYI0LnRr1NOTYWUW/3+LaS1MudBP2v+Cxd7vk0Bm45XLo9CAymkBHzDfh4Ok6jXpMoBKmWoK1Hty8r8fhUwF7dxqOngl57rD797ztIw6ft0y1Qla6EZ/9SgMrFGma8trrBtx6veXcmsf1l4y4ZItHErcZDOvsP1Lj3JJgcTXlwmrC+RXDiRXB+X7EdXuX+Xff02ehPcPxs9OcX66zuOax3JGsdlI6vZhOP2VtYFkdCJZGipVezA2Xr/LKyzs6CdPXnN7/Byxsu+7WW65/qxFi008/9uBf8PJb/t43GjIXvf2tZPDPfOZTvPG23eoP/vzZf/fMC+d++s7HjqvRMCIyijMDy77t5/iVH1vkuksanF+eYbnTYKVTY6XjsdLVrPZgtZOy2k1Y6SUsdeDkqkDXR9x61Qrvf03E7g1N1vptLqzUWVzxWeoIVjpOIqz2DN2hoRtaBqOEuXbMjo0GEASe5dQFDyEDdm5Q7N5i2bJhwPnVkKcOtbjhMkujvsqzL87SakZEkcfcjGE4gn07RvzhndNcvj0hDC3zU5I4HdKqBTx3bETda3Ld3oSnj0ScX/bZOhewezPs2BShVMypJfA9ixCWnRsTZlqS3jCgP/DoDjxWuoqVNVjuGFY6KUudlHMdWB6l7Nja5/2vXeLWKzQ1r83ZpTZLqzWW1jQrXcFqx7DWi1ntpaz1Lct9ONdTnF9LuOnyc/zCjy1zyeY2y502YSQR0ifkqjRix88eOLXjP26fP5++/Vv+9oH8bxXAL5x9Bs+v1YfdkzsefOTI+57ef/Y/PfH0CdaGgkEo6IWCpaHkTC/hhj3n+eUfW+baPXUurM6wvNZgtVtjpeux2tWsdqHTM6z1ElZ7CStdy/mO4Ezfgujz7ts6vP0mw57NNaKowWqnxlrfp9NTrPYFvYFgFFqixJKmoKQl8KAeWKbblg2zMdobcfhsxDMvBpikyVtvjtDeGo/tn2LXZvjCwwm3XR1woTOkphVJGjM7A0nsob2E5eUGr7q+yxceaLF7Mzx6KMSjwVtuMiRiyDOHU46eqqGlz8YZzUxTUA8Evi9QAhIDUWwZRdAbWNb6ht7AsDYwLPctwzRl57YBb39Fh3e/MgLTYnltigsrdZZzMuiQae6EtQzcKwM421UsdlNevvc8v/hjF7hyZ53F1Wk6/TqDoU9v6HFhWRLL7aRi/t/Mb7nsT6+6YseJfn80vOn6K7/RUCpuf2sA/syzLzA9s9E/eXL/DyyfP/jrx4/sF4dPhnJ5NaHTT+kODb2RoDMUXBhKzvZibrr0Ar/ww8tcf2mNpbVpltearHYD1no+qz3NWk/Q6Vm35PYSOn3Dat9yoSc42zHMTA9408t73HJFws6Ninbdo9urEXgSUESJxBiBsTAYAcIw0xpx6LTF2IjbH20SDupcutXn1msGxGaNux+f5rrLPA6d69NZbfOKawZ85bGAjbOW/cct/9u7uuw/FrBxVnLH44pb9ylWBl2OnJzlur0Rdz8zJAkb3HKlzyXbRwyTPl9+TEEqOHxK025otIDBUGKsIDWWOAGkQfuGTt/SbMVs3xzyyn0D3nRDwlyzxvmVKZbX6qx23bFZ7Qo6fej0Ejp9d4w7A8vKQHKuJ1jqJdx8+SI/+8OLXLu7xuLqFGv9Br1BQG/g0ek7Ijm/bFnqaXPrK662N7zs8h/fd/kVHzl3/ny0eetl32hIAX9LAB5GqYzC4TsfuPfzl565EP7iPfc94s3PeBgj6A0S+sOE3sDQH9kxkJ/pJNyy7wI/98OL3HCJz1p3isXVFp1+jbWez1pf0+kpOgPo9S3dQUK3n9IfGjoDy2JfsNiHOA259rIhm2ZT+gPL214RsmuTIUklWlqiGO56qsaJCzU2zyQ8e7gGpsEV2xTXX24IagMeOzRgcanJVbuatKdXeeBpjxsvq7E8WGN1tc2mTZaH9yu+5/V9Htmv2bbBY6nfYXVlluv3DXjg2ZTZ+jRXXdrnQqfDw89PU9dNXn65Ze+OEcg+Tx0VbJiNOb8Yc/dTHqNYISWkxrJrc8SbXhHR6yu2zBiuvwyiqMFKp8FKJ2Ct79EdKDp9SbcP3UFKt5/SG6R0B4a1gWVlKDndFXSGIbfuXeQ//tAqL7/MXRydXp1uBu7e0Fmi3YGi24cwNsxNJey76qZ4tS//5bu+7R0vNhv1z0rlmW80tr7hQaY1axiz9n2nTz/+KysXDs2eO7nK9o0BxgrixFLzJca4wFEIgxBOg0ppkVLzyMGN/KsPad516wrf+foVdm+NOLfcJvDr1AOfRuDRrGt6dUlr6DHV1AxGKf1hysbQMAwtvVHAymKNUyctUWI4fS4hCCwg8JVFS8FgqBB4JAPNy3YJLtli2bF1QJj2+OIjigMvzvDmGwKu37fKR79o8UWDXVsHPP2AYuu0Yr49oKbqRLHHhR40a5ptGwVPHoi4fm+d11y3xO9+bojvtXjjzRYvGPDVhyO+8FCT54/W2bOlwa7NKQszEbvnY67elaKUQSsLWBpBwMJ0QBR79AY+zx7y6I80g6GiP5L0h9AfWfoD9917w5T+0NIdWtaGsDhQnF+1NKY6/MRbF/l7t4Zcu6fJ2aU2nX6tYO7eUNHL/s1hCElqMRbOLSuOf+VRz6tN/UrQ3LDy6lfd/M8vrA5+d8NM439dgCdxh9SIH4pWvvhznTN3zUoD89M1+r5iFEEYCUCRmSIIgQO3MChpUTLFl5KnDy3wxMEmh85c4F2v7PPKK0dMt9qsdBo0uzXaQ5/+QJcnZqQZhJpRaBlFhii2xLElSd09SnysAakEnhbUfMF0SzDTgk3zhm0bB8zPdPjSY3DPEx7STPHmGzxedkWP+56PiUZtbn2ZoDMccmG5yS17DfPTA+o6YJQoFrsxyghetlfTaIU8/kKNV18/xSuu7fH4CwrsFDdc6fOD71jhK09G3PFIk/0nauxYUGyarTPTajDVgnoAnrYoCcbC/qOCNBXEiSBKIIxx3zFMGYaGUWgYjAyD0NAfQjeExb7kQg9CM+IN163wzld2+O43GpKkzbmlJt1+jd7Qpz/06GfgHowEg5FgGFnCyBBGKWFs6A1Slo6f4cEDX5o9vJT+53/0/tv0Wrf/oel28389gC8tdxiMvB/8iy9/7eeu3fCZDVokzLRnESJFCtBKoqRECIEQCiEEUpKBG5SyaGXxlKHuCZYGdT525za++kSX265e4wNvWOPq3X3mphssrzXoDQMGQy8DtnL3SBDGkjgRJIlb6nOLUUmL1lDzoVE3zLZitm4YkNDn0OmYP7m7xpGTTaaDOjdeqbnlmi4PH+xw+4Ntbr6sxo7NA/7wToESAe1WzFo/xFhQAhbaA7o9H5PUeedtF/jYFxpccr7G228eEMXL3P3MHHFa46YrN/D2G7tctr3DVx8f8PTJBk8d9dk2K5ltCxqBwPfcRSizi99YMMYSJ9nFGlvC2F3IowiGEfRGgtVQsNIDoUdcd/kaH3jTGrddmTLXrrPabdDp1ekNAvojj/6wXAkGoWQ4gkF24YxCB/BhaOkPLWGiObHY5c8++8UN731V+HNbd77F9nvd32m22v9rAPzk8x/EC6Yxa5/+/sPn7C+unHx+vhvETDUCAi+lUUuwFqQEIUFIiRQCKSRKaqRMUUpky7PBU5ZAW+pasDpSLHdm+PhdTR56ts+t167xgTeucd0lHebSOkkSMBjV6A89hqEmihVxIklSSWoExgqXBRWWwDc0agmBH+F7IaeXQz73qOTFUz5HT82gTMAlm3327VbccEUXFSzyzOEWW6cbXLUHNi2sstJtc/VWSWIsX3okIBxIppsJb7lpxGfvjjlxrsXll3qcXRvx3BGP7RtnuHb3Ivc93eOB5wRh5HPF7lmu2B5wxbYeh8+u8OJpeORAg0NHmjS0INCSZmCpedkxA6x1F2uSQpRAlAr6oaA7EnRjiEyCsSNeflmXD7ypy21Xp2yeDRiNplju1Oj1A/ojn8FQ0x8pBiPFMBQMM1kyzMEdOYCPIsswNAxCSxgLGp5i2Onz0T+5Z8PUXOcXR6aRQOOj1vZFL8S2a//zQr//qQD/yf/8Ubbte4jnH3/Zd+v02K/GnTPTN14madQCjAXfS6mnEmsEAidJlAQlBVIJlFIoJdDKoFWKpwW+NvieJfAsDT9luibohR6r3Rk+cU+bO58asXFmwPte2+GK7SNGwz5X7bZs36QIY480SxTZHNzS4OmU4+ctR88J1oaGT9/X4PTSDDbymKkptsxpdm7S7NkKV13SxcglPvjZJisrU9x8heaqSzp89SmBSDw2zEiajYRB7COtBCtR2qczEpxfEVxpG7z2hh73P15ny7zPzVfN8g/escRHvtDjkRea9Ecey2stdm+pc/nmATft7fHtr+5xZmWFT98XsDwIOH7W4/RpH08JpJQIBMZaUgOxsaSJYWYu5porB4RhzBXbQ97z2pANU4rZVkAc1zi7WGMw9BmEbpUbFsCWDtyhYBTiVoIwZZRJEyfzLMPIMozcBSUF2Njjs3f3SMwD81u2bv7lex59/N8AP2hNeM//TMz9TwP4L/7aH/Mv3vdK8eP/3r63qQ/89juvf6Jx5c6AfhiQpo5F85sVIKRFSIuSCimdXNFKoFX2qAWeTvG1wPcMNc9Sjy2NyDJVS5mpCwaRpBc1OXqqyS/80SyYBJEk3HDNgN2bIpIEjDVY65I4UrgLSXs+L5zw2f9ijWZN0/Il8w3Bwpxkw6xmy4Ji5+aUy3eukYplfu2TbY6fmObmvR5X7EoZJj0efCZguu4xN2WZbkU06k4KGSPpjBQrfctyJ6XTr/Oqq9Z4dP+AAycU0+0aN105zQ+/c5n/9il4/MUm/aFlrac5v9Jm03yDDTMjds6N+D/eO6Dd6PD0UXjhpMTzLEpZhDCAdf9ZSBLYtSnl1qsT0tgjTgKsbTCKPM4t+QxDt6KNIlXIt2EkGIWCUeRYO4wsoyglDA1hZBjFJnsvv8MwFgxjwSgVRAYuDDXdkUE0Diysnf29haXju3d/6c4fuvfgk39o9173PX93AP5rv/Ux9myfUT/7B3e+e/HsuY9+5L7F2pMHavzCD69y2TaPwbDGKPLRyiAzl0RJnQWSFqVUprclnnaa0/cUoScJI0MQpYSxpR4bwtgQRZZ24uyrMIEoEYxiSZgGxGmNAy82eeoApNbioO20sSfBV67moxXAVZuhXYeppmSmpZib1myYhR2bQjYvrBHbFX7tk1McPjLF9XsUe7ZJLtm2yteeSzi/PMUNuyUzbUPNHxLIAKsESSoR1pKkEav9GueXPa6/os7L9va47/EaG2cEjVqL6/cafuLdy/zqpwzPnW6x1jes9RSLq5r56SYz7Toz7SnajZiFZszO6yMCL8HTCUqlSOGCCYu7qOJYcWFREyeKOFFEsSKMs8dIEsaSMJKMIkkYCRegRoIwDyRjx9hRlGn62L0/imAUC0YxDGJBPxZ0Y0E/hjiMuHbnKj/z9xe5YesSF87qD77syt8ddka7PvnkQ3+SXveK93/zA/y+r32S+Zm6Onh05T3d1fO/+/wLR2rtZo0vP7aA/5GY//OH1rhiW4wX1hiMakhpUCq7ZwD3lMXTCk9bvEjie8KdBE8Q+ooodkCPY0uUpM4VSSr31NlZaWpIDU5vGwpw51JIS/A8CLSgFggagaTZUEw1JDNTgg2zCTs3DWg11/jk/RF3PzPL2lKba3Yodm72uGz7iFSs8aVHGjQ9zcKMotUY8cxheP6I5urtlkGouPaymGsusZw7m7K46jMcNXjrjT3ufXrIodOKZl0S+G2u3mP4j9+/zF3PDfnsXfMsdy07N6SsdjTTbcVU06PV8GjWLbXAEPiGQKdo5aSWzBZFa3EJKyNIjCRJBUkiiBNJlAjiWBLGznmJYkEUW6IIwjglig1RhTjCuHp34B5m4O7Fkk4Cw9BAMuC67av8+3+wzJuu05xfbrG2fLS2NGz9/trI+/v9sPVnH/non6Y/8P3v++YG+HLvuByE6XdubHd+Y/H8hdpsQzFIoFev89kHNhGHku94bYf3vr7HbDuhN6ihZZDpbKeHPa3xYk2gFSPPMU3oSSJfEMXCnZxYEScQxdI5CElp+yWpIU2du5DazCkpCrKcO6Okkz2+FgS+pBZImnVBu2GZbhk2zoYszPRI7Bofv1fykS/MsaFW45odgh2bPXZtMezcvMonH7SsrNS4YpNipg2tRsz5Y5ILqwH+bghjwcKUZHoaDh21rHYN55ZqXLarxutv6PG5e2rMtSDwfZSc5upLBD/y9gt48gKfuW+G50/X2NiN2TCdMNVUtOqKRl1SDzSBD4EHWjuHSQqnhwuQ4y7s1ECaCpKUDOgQp5YogThOHSnEhih/jE1mO+auTGZBJk6S9GNBN5H0YkM0ipkKerz/LUu85zU9Xv8yzUq3ySjyGUUNDr54tPbEieS3X39rXc9MiT/G8cw3J8B//2OfZGnNfP/dTz70y1vah9uPn9yACSVaQENDVK/zpUc28uCzNc6tLvG/fXufmXbMKEjoDRK09vG0h6c9/Cgl8jR+5KRJFLtUumMc4ZgoY6UkgTiFNHVOgjE2qza0eQ9nBm4HcBe4CjztAFILoFEztOoJ062Ehekh8zNr3H8g4vdvr/PC0Wl2TXlcsgm2bfLZthEu39FlkHR5eH+buvJYmFFMt2C6FTIzleD7GiHcxTUMfVa6MWsDS6efcGHVZ8emFq+44gK3PzLghdNtGkGMp3yEmOKSrYrvfeMSL7/8Ar9/e4uHn51mua/Z0E6YbiQ0apJ6TRF4gsCTeJ6LVZQisw8dyi2uh9UYCqAnqclWt8xaTAxJ6sCdxBAltrzHLogcJY5UBrGgmwh6CYxGCSYZMlfv8ePfscz/57sG1H2ftW6TMPIxRtCsR7z8yhHHVs61d89v/LXZuTf6Tz7yqY9cd9O7vvkAfm6xi1Lqh37uv33s5/70jrU5JeeoS8lU4PzahoLEk/TaddZGkl/+U4/9h1d556v7vPa6HhvnQ3rdOkPt43s+ge8RRprAd/ZeDvA4lkSJW3bjJPO0UzLrj4y5JcZSgtslKTPmBq1cwsT3LDXfUK8ltGoJM+2QzfNdzncG/PqnPb706Cwrq00uXRDs2CDYusFn2wbB7i0jtL/Gx+7WHDnZZO9GyUxLMtVMkTLk9KIl0NK5C1YQxZqdG7o8Qkp3oFjtWs6v1Nm7rca3v7bDn33V59j5AE/HCOFhbJM4kdywe5Wd39XlS48P+MMvzfLYsSZbZwTzzZRmLaXmCwJP4HsuVtEKFzhLUdRkWNxFZizOaUkd4HOQJ6mTdA7sEKWu1iXKk0eJYJhAL5H0EhhGhnQQsm2+x2uuX+XbXjPgbTcYtGiwulZnFAVEscYiCLyE2amEf/LtIVodn/OmTv/ixj0/oEyy+iGpZ755AD7od/F97x986nN3/9xjTxzYMBcotJAE2mlqYwRoixCghaAnanQjzce+FnDX0z2uv6LLd71xwNtv7jA3HTAcBQxDn8DziBKPKNZFoJQkijiVJIkkTgVJIklTQWpEqbWNoFAl1jG3FC5ZpLJkke8ZAj+lHiS06iHz032G8ZCvPmP5k69N8fCz08z4HldvtWyelWyc89myINm2MWLP1lWePjbk0/cuMKU0C1OCdlPQbsR0BilfeLBGy3ff11gYhpp33hry+YdcTUynb7iwqtm2ocW7Xtnn4QM99h/yaQYJSgoHctNgFDmt/72v77B38wU+dleXB56f5sRqnU1twVTN0vANNW3wPdBKoCRZgsx977z8yGRSzZhyhUsyoDuCgDgVxGkG7FQwSgSDRNBPcTFPFNGsD3jXm1f4zjd2uWFvysZZj+GwSacXEMU+Uey585Q6K7bbr+N7AZCSdA9tWBk8+HPb9rzarKx2Pzw78zefDPobBXi32+Xk2VV6Q/N9j91z7y/deedX52q2w+45QZKmTiZYtzRqBToBT1p8Kegrj76nONUNOPNQg4ee6fNn1/R4z+uHvOXWEbPTPlEYECYeUewRJ5o4A3qSugOYpJI0LQFubMbcpkwsuFoWUNLVcWht8L2UwI+pBxGt+pCUIV95XPJHd07z7NEpRBywa8ayedoyP61YmPXZNC/ZshCzY1OXk4s9fvOzTZKwzrZtgumWpt2EdiNGeBHdYZPplkUIgbUQJ5LZQJGYhF7s0xukrHYVpxfrXLmnxY9+6xq/+McBxxebaBVnF4YmSWqMIsmmuYAbLu1yzZ4+zx0/zZ98rc7tj01zplOnGShaPjQ9i68tngItXTpfiPHqOgPY4pwIUgtJKpx/ngqi1CWJhqlgmMIwsSRJgolD5mpD3vqGNd73hh63XR0zVfeI4iarawFh7BPHjoiizLVJUpVVZgpMTxAnirWeoX/wng2DUP7S9de/PImHJ39vEE0xPf03Nz/xbxTgUThk99aZb3vokcf/25du/2q70+kw21IMQqff4tTVVidZlk1L0NljkBpqSjBQPoNEcyGs8ZmHmtz97ICb7ujzj7+jx74dXTZMK9oN7dgh8UiSEuRpDnAjsx5Nsj7NHNxZql9ZF8TqhMBP8FREdxiz2I35r5+scfTCDI/vn8Yan7m6YMO8ZX5KMNdWzE17bJyTbJpL2LowYG56lS89YXjs+Wmu2SaYaUlaDUm7YWjWI4QXEgQardzvtxbSVDIMNcNRTGIEvaGh17esdD3OLbe55fI+r7hyjY/dUaO+otAydoC0miT1iWLX4zk/XePll/R5+aV9HnnNGY4vSn7/9mkurDU4tRzgK0nTE/i5DJMu8CyIPJcqOCZPrCAxEBtBmMIogchYSBNIYqQK2TIz5Jqd7nzcuC+lXdckiWPsMPZJEp0RkCpW2nyFTTLyiRNnS/aHisGoy2MP3zWXJPq/7d13/Wo4Gn76bxKTf2MAH3WfImhtUA/f+8eXHj14tB2oAVMtn+EoRQjHlkkiCssuTkEnNkveWPzEEqSChhIMlWCgA4apx3JU5/bHprj/+SHNIOTvv63DtrmEXVuG3HJVDy0UrYZGCCdXXFbS1UpbW2FussSRcJ65JQGZ8NxRyaMHNJ97uMVzJ1pESYOWVizULbNNy0zDOh+8rZmd0sxNCzbNJmxZGLJ5YZW7nw354Oc2sHlas9CGdlPRbgpajYR6EHL/QcUo0nhNByprBVEiqWnFdXuHPPTMtCt8GqasdT2W1gLOL83wo28/z6mlZR56cgFPAiLGQAGgMJL0h5qZVo3pdpNX7B3wmmsGfNfrFjlw0vD5h2s8fKDOwSNNEqEJQ8UgViiR1/dUA88sJ2ANibFYY/BEypQfUSPmFdf32b15xLb5mA+8JaTuS5p1jyhq0On52UqqM8JRhdfu7rl8dACPY/f9w8j1lvaHkqUzHY6cuau99emTl/5vP/Ld6muPHExfd9Pevz0Av+u+5/iTO/b4t1111w9smFn65TO108y0G07nGQcvKQ2xtKjUkqQClUAiLTq1aAmJFHjGEqSWmhI0UkFoYJR6DFOPQVqj10v5pY/NYJOYjQsjrtwxYm4q4T2vH7JjQ0Qci0xvS6gwN5n+lNIgpOATd9V5+nAToTXHzzQ4fb5Bra6YCgTTTUu7ZmjXoFUXTDUU7ZZipqWZm4b56YSNcyO2buiS2jU+cW+bYb/JZdss7Yai1ZC06oZWLcHzIr70UI1wIPE2gMzAFCeSZl3x1puG3POEoR9K+sOU7kCz1tOcW26wb3eL99zW5fHnGhxfaaGkAeJML3vEqSKMXWKmP9J0+j6teoNmPWTfthE3Xz7i5IUOx86uob2Up45o/uxrDYRyhWtMzh+0BjBgLXGUsnNjwvteP2S+nXL5TsvGOUgTjzBqkSQeq12PJFbEqc7ioEyK5JIkB3XubKUuRooz52sUufT/YATDEA4ePktc2/bLdz3w0OC1t176ke7Sc1F7/qq/HQBfXDxOSy/uffzpw7/uR/fLJJ1HCBfFe57EWItAOnmQCpLEoqUbq5AmFs84+eKlTgMG2lLLLoTIWKJUEBpJmEoi4xEbWOy3+drTBkvKXzzsRjZgTXbPs3iZRVZUJEqkUiSxRhqNpyWtAHYvWJqeoREYGgE0AkGzLmnVnRyaaklm2jA3lbAwE7JloUfKKv/1z2vc98wGLpmDmUbG3g1Jq57QqEc0G0Pq9QaBkiiZaXCcHIhjj9FQMAxTeqGiPzL0hsa1zDV9Tp2f4lVXhvzEe8/zK3+mObEWIITB2hiTWuLEI4olo9CVsbaGmmbNp1Gv0Qga1IKYVj3ihssifC/mxssSPvCGAVolWRLI1daPifJM0hkjEUISeArwGYWa5VXt6nbSPObJ7oksY6AMyCVj5+DOEkvZY5RkibrY1fyDC4YffeRe+aqrxK8fe6F3b6c3evZvApv/jwH+k7/0Zzx10qtfOHfg3RfO7Bcbm/Ps3FAnjAHhInmjJWBcZWDiAh6VunuqXMSuK/rc+bNZVJ9H9kaUr40gMpLESlKjiU1Amtle1VuRpczcGi3BU1CrW2raUlMpgQeBhppvqQeCui9p1CWNmnYAbwqmW4bZdsLcdMiG2T5bNizzwc8Z/vD2jWyfVsy3DO2motVQNBvQqKe06jFnlw2HzwbUfFd+C3mln2AUaXZvMmyaH9Ed+QxHNmNxyVpP06rXaDWm+cAbLnDk7Dl++9Nb0VJjMaQmJTGWONGEkWIYuaKoQU3SGGnqgUc9SOn0XIzhe6lLmHkpWrpGCSnToixCiKxuxR2xDOSCjsmqLI2La9JUYowkMWW8k6SiEuDnzyuPichei8zCFYXtmKbuLPme5JItdbZssKS9+0Q0uPzd1+y99PDy8Q8P53b+g28swF91ec0/u3jhp545dfanTp4eSW+TR8Oz+J4AiyuS0mS+sytFTaWz53RqSYwLNNM0y7CZDOSpK/nM3yufl5VyzssVRaBU1dxAlslzgZWWxgW1yjkLnhJ42jrfWAtqgaTmS+qBol5TtOqSVsMy1UyZbiXMtkPmZwbs2LjMwwdDPnbXFmZqARtbhnZDOHDXJc2aoVlLaDVCHn4BnjrQ4NIFm+neMm0+DBU3Xm65bMeQR56dZhBahqOU/lBnIPdo1OrUa9O8/9UrPHXwAg/t3wRWYUzqymETSxLbop5kGGoaI0u9pqj5hsD3CPyUQBu0TvG0yw7nZRD5+UBYRNlWUgnOM9cjd6RMbr9WrNgc2MaBt3ydZ0urdzLQZ4k44wjI9xXtJmyaqzPXjmRndfXfPfB45Cd2y88C0TcM4L1+KEfD4c/80R//wT9vmPP+1ds9GjVZLHsuSwhk9dxpVluSpk6Lp8qijXvtDpzFpBTP0zzjZvPMm8Vkmbg8WWGtpZJ5H1tx81R1ntBRMstYKipFWy77F/iKWqCoB4JGXdCqW9qNlKlmwnQrZG5qyJaFVR56YcjP/O5GTpyaZs+8YboB7bqiWVc0a9CspdRrMb43ojNy1ZCeskhZfrLUOIaLE592PWaQGAZZnfVglNIbSDp1RaMXUAta7NoU8x9/oMO//6jkwf0bsSiMNaSpIUkTosQQxYpRpBgGknqoqPmSwLcEviLQBs9zfr9WNqv1cQBXmUwRwo436GapfZuRiM1qWdIM8KkpHx0ZyexRlADPn6dUHsnAT0ZStrioltY0o2gWY/p+e3b5X7773W/1otHo3/i12l87nf/XBri157B2+WdPH/7aPzWjU7VdW+skCZn2dvUdZIwljdOgickAnjF4moHb5M+NwBhbpJFNxTe3xrou8qwEtHpnAuCZ7M4CSydRlHQXm1ZkaXmBpyWBL/E9RS1wIxnqgaVZM7QaKe1GzFQrYrY9ZMvCGg8dGPDvPzLPCydm2TnrHJZWXdJsSMfedUujltKoxcRpxB/c0UIqhSctSpQ2obH5Eu7xvW9e5cuPRfSigEEG8P5Q0esrOoGm5gcEXpvLtyf8px9c5t9+RPDAsxsxVpIal1aPE1doFkaGsObKXYNAUPMEge8kgK9tkbHVyiCVk4pSWNcokQO8THkCGYngcgnObckC+RzA2dQBUyTXyNidYsVN1wG7JC9r3eoRZhZldyCIYo/hiSO1bnr7P/vWb3mDOHF2+V/t2PzXm2771wb4U0+fxFrzisceeKru64jZtiJKXOaweoxypk2NQKWCVOXp4Rzc+Rd275miVqJsv3JAF66OIgd1fuAnPlcO8LwGI8/k5eytdV53IvE86eo3fEEtcDNPGkFKs+7A3W5GTLeHLEx3ePjAgJ/58CzPHZ9n24xgrlmRJjVNs+bqV+q1hHoQ4Xkhp5dn8JRASZPZcmWQmaaSJFFsnrEkSUw3rmWdMobhKKU3ktQHiprv4Xs1PD3FFdsS/tM/WORf/w489PwGUiMdwFNLnKQZkxvCwFCLJCNfFRLM88DTTqK5OhXnXsncG88eL4JxJ1fIkkKIIjlksuRQni1O08r7ppScpgC3O3/5+TfGUtgBSZZhNRAnht4g5uSRx+uDtUtfIeVff8eJvxbAT73452zdutr4rQ8/4o8GKc2aQEpLkFBqYyPKmoeciZW7uo10TJ3qypcdA7Ytru4c6DaXI/nzl/hsUpRFVFKClKIAt4sHREWeQM2DwDfUa5Z64PRzox7TbkRMN4fMz3R47NCIf/uhGZ45vsCWacVC0zBVF7RqkkZN0agL6jV3cbhUf8RD+wX9kU9NkV1kToPnTQipEcSJpllT3HJVj4efazOInUwZhimDoaIXKAJf4Xt+pp+n2bfd8PM/fIGf/C14YP8GYiOJjcmapcsezNCXBL5x7O2VdfRa5XcymVLKOJlleS8G8jwpZHOAZ4BPC+eFi668JmNsU5BY3vtqix7YgrgKg8G6tH5nxCc/9SV/8+Wvbfzm739u8GPf+47/8QD/zF0vcvfx3dN7F3/3N6/ctfjq5ZWQMNaZoZ/prFxP58tXtQZb5QfBXeVGiYuzdgXQxtoxgGe0Mq67RdbmJjNwZ0VGqgA4qKxi0NPge7hOID8rsApS6pm8aNVDplpDZlpdnnwx5N9+aIanjm1g07RmoWGYqkOzJmjWFY26olGwd0otSGg1Rtz9lM9ap8bMTJkmzwFjMm0ap4oNc4o3vKzP3Y8a10UTmQrIJTVPUvM0nvbRuo6Uhn3bLT/3wxf4yd+yPPDCBmKjibMKQFf26pg8iGVRXehridZZEZYUKJ0fG4rPl1+EuVQReVUa5Wo8eTeVR2Mqj8XKWwW3rUjQEtSFaWDyOhgXQC+uhZxaXXv1W7e++Dv/8Pve+mM/+oEn14S47n8swM9fuIAQnZ+8e/8L33nbZQfZumEDy50ao1BltdhZNJ0DOAezdQGkCxrLKz6XH2khQ0ptNhZITjJ3hvQ8I1dob5lX0JW6O68Y1ApXn6Etnucai2u+oean1GsJjVpMsxbSaoyYnerw+MGQn/qteZ48spEN0x4bGilTDZuBO2PvmqQeOPavBQmNICIxIb0oQCiJlzN4ocFFxm6ZXxx7NP2RKxeIaszkIB+lDHzH4IEvXU28zjegtVy9y/KLP3aef/EbhgcObCQ2mjAVRKnJWFxQiw1B5mj52mSrl2v5U9mK5o5P1pWfP1YKs4oLsxrrTIC7IKEKMVXBXQV7UbZsbCZvSsCnaVmXHkaWpZ5k9cJ53pLY70xGuw+Pwuhf/w9l8DseOk1rasvOpx744DUbW2eYnTKMwpAoVkiRtZbFLmOV5nebyZFUYFTO3LZypYviQKWmesBEhSnKrKStrplCrA8q8+U269BRWTClddYZlBUh5dWDNS/NdHNMvRYy0x4w1ezx0P6Ef/XBeZ44spGFKc1CPWWqZmll4K7XnJ2Yg7sepNT8hHYzYv8xy12PN/GlxFMmC+JKjyJfvuNUkRjNa2+IuXRPn8Mn6iw0KPscw5TBKGNhrdDaK7qchLBctRN+/keW+Ne/Zbj3uQVGcd0lwxJLI6vhDjwcyHW+epmit1WqtFjhlBQVgIsKyFmnV0qQ23GAFxWK5cpbXZmttRXSy/R4DvDMMo6zxopBCN0I1iKPrz7UYa797DXf+d4P7LT24HEh/upp/L8ywK05AaK96+nn7vgvN1/+7Lftnj3JKGqRJK4Sz2T9X1JYVGbyF1V9xgWXxuRyRKxb0nJ/2Bae9oRLss4tyZh7EtzCIlVuCzowaJWxtrb42uB5hsAzBH5CzU+oBRGNWsjs1IDV3oB7noWf/6NNPP3iPPMZuKfrllZd0KyJwit3zotx7O07gNeDkChNGQ1r1JS7yKSoLP3kmlVkgaZ2Wl6HhJF1TbsFwA2+n+J7Gs+TaKVQ0isAjoBrdwt+/sdW+aU/TnjgwBxnOm1GTcl0amklllo2cSDwbOb9506KLdg7lyo5wIvPm33oKs4LhZidlHxVLcE9LimdDKmAfcw4KJk7195xCqOsWyg2gl4Y8KdfHeDXTn7b9l0PpzMbX/3PHt1/9tiN+zb/zQL84cdO0qiv3Hz/I4fe/dyBQ3zvWyx7NiQoafCUIfUM1qZI8kbhi9dl55LEgVoU9Somf16RIlWA54e4qgrzk+DGPeTsbTN5YivDgVxZrKdNNmYiLcAd+Bm4Z/ssrg75uT9o8OkHF1jqz7AwJVmoZeCuOd3dyALLeiBpBDZjcKe9a0EERNz5pM9q7DMXMFaPndum+QqVpq75oR1oXn/9gIdeiOjFAVNFx7rBD12tuq8dwLWyKOkhpEvQYOGK7ZJf+cddPv/QkJ/98EZOLc0wnNZM+4JWYmgkEMRu9LKv3EAjLw80pSiC4PyxGqhXL0whil6R4vzAhISsArsSP5kq+KtBqBnPXsdZia4r1xUkNuGa3avsmT1Ob3nLuzfMbPgDm/SP/Y0yeLc3oNWsX/alO+77J5/+wmEefXEHWp/nn7wrLBpclUrxiowlLpEjRWU4vUsWpEXioMxC2swCLGyoSdauypLsQOfMIotZhdnqkQNcuXoXrfPeTtff6XspvpdQ82MCP6ZVH6L1gLufSvmdL7T53H0biEybDW3BfM3JEmcB5j65yu4iY+4qe8doHXL/89MMIs3mRv55Jhk8l2qSOFHUPMUr9g1JjAP4MBauaz3vXA+NCw61yFjcXcgiS65bBPPTgu98XZ9WcIYPf2HIPc/PcS6uM6hJ2omlqa0Duc7iEGWzuMRmIM+PoShrxyVIShaf3FGwkCr5iAomtXm1e6isPa8aCVU7MTUQJ6JMAhloBSnvf0PMd792ilOLR/B5+T+5/Opbn4ij4SHPr/8/B/jJk6f52p13Mj09teXY0UOvmfIGvPU6n+t21QgjjUkdqmUGJiEgEe6gpWN6O0/5inE5kmttsmTCGLAr1kPVvhJ2QprkWTlXMehGu5ms5jsDt3K1GIEX4/sxNS+i0Rjh+wP+6HbNL/zeBg4vzuIFNTa1BLNBSjuwNANoZh329cBlO2tZQsjVr6TZSuDkyVI3pR/5+ErhS1sEmFS+Sn5h57UbUeJR90Zsmh6yNmgxjEU2bs3FCp6XZjafyuxO5QA+Fri6ysdvu63PjVcu8vO/P+IPv7TAStJkEHg0PUlbuxqcQIOvKJohdJ70yVY+WUiVMgFUJZVxsVIFOmMrsLHjUjPX5mnlIii8cpNnP51njoC6tiireOrgPFvbLZI4ZcCh1yyvmS3DQffQmdOn2LJ12/9TBk951ateuevEsYMfjLpHuOayOq0GzDfn6PSGeDp1c0WkRWAyu8llJZWRGGvGwW1EkSywtgwwLaIiScSENMnBbUs2kfkgzgrApUVJU1xseVe+A3mCr50kCfyQwBty7HzCb3++yafunePI+RnaDY/ZGswEKa3AZqn3HNwyA7cskkK1THsHvrtw2s2QT96vOXS8Ti2bwFW0i1GivBjjYJ0OjxPNFTvhHTf2+J0vztFvaNrZ7JEgyuIGZdBaZmPrqIDcq1CqWxV2zEv+1fcMuGb3KX7rc7McOTfFSlJn4GmaStDIgO5L6y6czGUqVr/8uOb2IU6fl5lOu94nz4kpL50ofPOLWIpVJi8ctAqTW/e76p5lSgk6Kw0eeU5S8+DI2f286117P3j1y255W7fb/UulytcF+HA0ohYErJy7d1tgn7xk+4YLxLM1lLL4nsvGaZUWNQ0yY1BjBMpKrDFFsU4O5rwRIX+v1NuiYIGSFXLatmM6MAe2e8xHKTtwO9ckZ+8UTyeuc0cnBEGIr0N6acSvf9znw5/fxOnlaYyqMzulmPUtU76hkTF3o0jfy6xOJZMmmXdegNt32cswjjh0KqAfBcwEmYuTJ51yVyLPwtpKTUqsaTc1u7dFqGBEL2ox9AX12BLmANdplqhRzseWeQnwxYJXxcLUgB/9tgHvfu05Pvz5Lr/9iTmWhk2GukZNKxpaUFeWILGOzaVbdbUsyxvyLOc6JucicmXSYYGxWKoEtyhMBFO9Z/FZWsGAzoYxxbHh9IUYLQWdwRJy6ulLOqHY9rbXveKYtSOEqP31AL66soTnTy10erWPnzn1VW/f7oALKxaLK9zxdJpd9abM0pFrbFOCOWdum4O6rFgzY4wtsBf9JLZiB9oC2GPypBgYlDqA6xStUnwvpuZH+F5EZxRx/9OSP7q9zSfunWOUtvB9nzlfMO0bmr6lEVgafgnuWiAJAkmQSROXGMqciQzgvucyn0fPWu55rEEUewRNuy7AzG9lOtuVokaxwvM0b7ixx8e+0ueFU02GNVcvHXoWPwEvNniRQSnpfGvpCtiK4T6UxzM1ksRIGoFm4/SQf/H+Aft2hPzh7S0e3T/F4rDJSPl4nqamBXUJQT5gKbdXpc2GnlIB+XjNymRxVpXRc4KadMQMk0wuxoHuLh/nEuECzt7IWYcAZ9Yk8WMPeu//1hs/Hg47L1vrdhf/2gw+OzMnTxw/fPNTTzwyRdhm+8KIqdYQa12HjlYGJdOikbf4YhUwjz9SAbgoZElRi1y5escKf1yPjmPyIqVsinJPp7stWqUO4Cot5IjWMZ1+zH3PCn73i21uf3yKlU4LWa/RqiumPUvbNzQ8S8O31H0y1nbMXQ8kNV9R8wU1n6xCz2TgNgSe099Khxw8Bac7NZdYyfTteOKkrJ9xfZAO5ImRRJFmY1tw2fYhz5xIGMQeYTbj249w4FP5ZN08UQNyojOnGu+kqSROXX34+94w5C03rfLVJ3p89EttHt3fZrnXoCN9+r7GVwJfCgKJ6+GUFi3yuCabQiCyst+LMPi6+pVJJq8QWg7y3GAYA33294QQxMI5LHHqEnfWClIrqcmAr331/ilp1M2XXXbpF/k6w4O+LsCT8Hgw0x7+RkMebjZnPaLYBVKFTJDlLMECihMsbaws2MVmTF78uapjUvyvcuTGpImlWqAvZQ5skz2mbiB+7mbImMVewt2Pab5wX4tP3zPFhW4TUavhtTzaGqY818lT98hkB9R9kd1lVnKa6W5fEOTsnQNcJ/h+Qs2PsDbmzscDjp+tMz8r8KTJJJsoG30rbFeUn2aSYhh67NwoeMP1Az71YEQ/9hjGgprn+lX9LAFSrlKq8KsRckymuLssGxWM89vrQcj7XjfkTTcu8xf39vj8fQ3ufrrFhU6DofAZ+hrtKbQQeFLgSYknbCa1LApRkYbj9uHE18s+S3nRFRdfVrg1psGroK9cMK5ZRaALxwxqnmV1zXD3YyebV15vfiM8dHYfMPxrAXxt+QFs2uPqPc/h6QBjHaDzKhAhysAvZ+FSVwu3RBlRPrcVcGdfFCuw64SJGA8oK8AWwmR2oEFkANc6xdcxtVrMKEx54TQcO6P4kzum+OKjbS6sNsGrodseDSVpeZaWNtQ9S91zB63mQ81zMwldmams3EX2c5uB3BQg9z3Xnnb4jOGZowF4XrbM20qKXoyhoKpL84xvkrpxzlfvDrlyW58DpxsMa4JGIghiS6jIrD2TsXfupuQWZKlVCp89syKNUdn0AY9R5FGvh3z/W0PeecsaX36sz59+pcGxMzUOnG4QrQUkgWakNTLbhEABOnvMmbyQLlQwMHmruilU2btk7dRCSsneeX2/qN5F+VyHcKErOHDhPDc8s3/6x7773d/dG9rfadUv9gG+DsAPHzsuVoaDf/LfPvL/nZ9vJHzLK4a87NLEjTnTkiQWRLEs4mkXJFalRxXskjLdPgnuyiU/xgi2ovlcUsNJEpPt8pASBG6SapKmnFuGO76mOXyqzl0P1zm9WufwmSYEAaqhqWlFU1ua2jgXwXOD82ueG9fmQJzfZXZXGcDJNHcGbi8l8Bx7uwsr4ugi7D/WwJPj9mAhUSjrwYugK3dSTNbXmHhcuXPIZRsGPHskYZB4tGJBqMFP3ExAVQG4lKLYICBn8pIpK3VAJq8/d32UceoRej7tesT3vjnktmu6nF7tcucjPkdOBnz58QZnlmukQw8jNbGvENmOBCLrypdkGU8oZMvFQD6WtKOSpaZM7ZcCPu+ntZX3LMQWEovQKZFOufHSIW97RZdb9twz7cnX/4RNgg+vR9FfAvDPf/l+4jj5ztvvN80z3R38xf1drtrR47U3DLhyZ8ymGcMluwwaQRrLTF+5ZbHQ3FRAb8t+v1xv52w9/slsJWIvWbuQIirFC1Li1HLkpOCZI4o7Hm7w7FGf54/W6YYBYRSA56PaHoESNBQ0tKFe8YEDnddp5GWzri48yGSJ7yt8X2YXgC21t5e6zKLndH7Nj7Em4vyKJLQBWkt8adEVm22CwAuQp3a83zFKPASahdkIqUb0Y4+BFs7piMuCMRf7VDOPVaNdVspaZcnklcFIXqqK8ROD0GfTTMSOjTE37AkZRkP+/tEOzx7zueOhGs8crXHkRI04URAorFQgJKmsZIPKFq51DE4V+IUPXHmkAmpbdEG492OLFoZLdkVsnYm4YlfEa66LuGKHYNt8QKe/xNH9X/p6ML74T+6/93ZWVnvq3oeOiB0zikGoefZkjWeOtLn90T5TesSOrRFXXx7y5pePeN31EVjX49hoUoAZI0hiN6ekkDA56Fl/MJyWd/NLPG1BGIS0xJFlMHKMfuyU5I9vDxjEiiefr/HiyYClvk+Y+qB9UB6qrfCloK6goSw1hRtnprLCI+VY2/eES3pUwe1J/EyWBD4EPplr4lLmnjb4XpJlRGPqtYgLqyl3PNCi0wuYmRLozIvPi77ESzGbqQSERhKGivk5xVtuGfHlR4ec6DQZetLJFA1eYvHi3LPOPHaZOruQ6qwTWfwOY3Xldzig+6ki1YrEc2Mf4thzVqoX0/Rjbrs64RX7Qt71mhEHT0qe2u8xjBR/eEeDo+c8EJLBUJNGKi/fxOoc4BOWUQ7wSWA7NwKRWISxWJwZXm+meL5BWMPrX+nwddXemJ1bDU2pmKr7hGGDxbU2x87MsTI4L2Y27FN33PGV5E1veuNfDeBaWRbmGr8+1+pdmxhLy4c5K1mLGiyOPBaTiKOrIQ88m/Dxr0QszMRYY7h+b8z73jjMWpQsC1OG666OaNbcySQz8C0XW81EMZynMxA89bRmuSup1yQP7/f47L01RrFiFCvOnvMxQhNbDyM80BoRaLSU+EpQk5ZaBuxAWQJlXQ24zjxfXTK3n/dlFuBWWY+mKNjb9wy+nxdopQV7+36MUhFfe0LxqQdbKF87u21Mf780g+deeJrmjodiNPJ4561DPn1/lz+8c4p+UqOZ6XAv1+FxnpSxRbeQELIAmPtVsqL1KwA32WgH7Zjc04pEa3SSOqCrFKXcIP2ZWsKtlyfccnmMFSHved2AUeysu8/cG/DIfp96IFjqKp561qc7kJlKErykKC92nnCtgde9LGJ+OnWNL6nlfW8c8bLLEqyBhWnL7DQIozE2IIoCOv2AYRgQRh7YiEPHe9fevLnx60lqf/SvxOCnznXRtVZ77fjvXX58+ax6cSmgqQQtZcETdKRPlGpM4hGamPPdgPNrCVjDwRMpn/3aFFiDNZapmZSbr4lo1V1N8EXTk9XLPHMd1vqKR5/x6XYUUks3E8Vqx0xC4+YCa5AaKSWeFA7M0hJIgy8dEHwFvipn9DmQi7LhQbtGgLzxuApux/BZWa2XM3hauScEOsbaiNNLPlFYI5iS+FnaW2VVeWNZzEquoGqdFt3pRhHFHjMtxfb5CF+MGCYBw0RQ124IZl5Dkie0lKyWt8rid7nfkclFY8okizFZEVwpjZIkzfIGKpvLnhAnKSp2uQSXzEvYNm+yFcOwb8eIyA6R2tDpCB59RrM2kKhCsYwH1VUyx7omh2bN8oprY6amDTZ18rUuBUo4qWuMIolcbBInbh5lFLmRfVJadmxe4ejiQB07d9XlP/K9729b2+0KMT7Acx3AR4MlvGjtF3/zTxdf99UHNbOBQAmXAMhLUvtCMhQ+qdGuJ8k6gCc2pWOyCUnS0l21nP1a1Rm9GMCr+i07OUJg8i0XyGpOhSqDHCkzKysHdZZ2lmQbt+a+ceVRZ530imzrPQpwu7YuhZ+B29cUJaaOwTMW1wY/y456XkwQxJxcMvz+l5ugfTwpygCzkCdiHYNX/eF8SKgDmxusE8UeH3jLkL+4e8jz51v0U49G4jal9bJRd0UnjspzAtVgLy9dzKWQrBR45XdT1MJorfBSNy/Fy4CuZJk0c3Xj2XNhssFBKVpYhE2Zbxi+5VUGRFpaxiLfP2O9Q1b6iAJrNCYRxcWYpJLIlgB3K452MUM2eDWM3BAiIRXX70kw3onXLV049YvGJP/oL2Xwxx/+KlIKX4yWuGSDYpDtnjWMSixKnCc6EopYKqzVWGsd2JXN9QhYSzq2m7O9yPfN2S0H+HjwIrK9MqUQbh8d4dLKgXDVgp50r7Ukq6nIusfzQiJNZQ4K2c5sZVd9CXBZyJbAt0VLm++byuCcBC9jb1/HSBlx/JxgsVtDaE0gGZMnsvq1Kqe7Kh3GgJc5HVHiMdcO2blpyIFzIcNUM0ohSAVeavGSTIcnFM5SmUJXY50KuUnhJu1aUlP9fYI0NejUkCqJ0vn25SorVkuRymQrhSmt2QzkIv/dZDtQS1u4XjnQcweshEBR7OwexwyILG+SDU81VpaTtBJNlGjCSDOKPEYjj2Go6AwUvVGPI2fv8O1F8j3rAH7oyGnnN8qEzfMea72Utb6LbE0R5Dq9rAWEVhBb6cx6qQofs4yS+frSRAi3rOaJAyGQlCliN5UKPGHxRAbaTALkz4v3MrIvS0EpGmx9JRzYx8At3aOfAz0PPjNw590/2hQSxdNOn/p+TELM5++vc36xjjel8Ks1HFUHhQlFWk1d54N1KkmfUegm2L79lX3uf3pEN6kx0Jp6YoiydLqSZUFUXnDmtjrPf1MeaFaavy0Yk81UsZAq9zu1ESRKoFOZ7WLnstRJBvQymWaKBFs1yZfnJoSsgtuWeRK4uCSnWoNUWsqutFqSZkzuAJ4P89SMIk1n4OYjLnckoyhkKjlxUX0wBvBf+dCnSAleNWsfv7HlW2q+j5AJURIzCE3RJaOlq9sWwqKtG6WWWkhw1ldRHcjFRUn+fXNvWGaPKn8UFg2F1aaylLGbb1Jq3PyzuEdRjEKoAruYg6Jw/YgXA3gecOa6W+eyxGZ6e7yW3PdifC/iXMfw+It10D46kye6UqCUZ/vEBMLdyaxU3RV9qbLwxOPY4/pLQ+amh3RWGwwSRUOBl7jvorLhSSquAhwH8uIXyYlKTZH1TToQGWVIjcAzglRJUmVIlSDJQF4tXsvLIWQO8gqo85IJgclATlbSXPD0+tqVsYu9zIuYSg7FyZQyG2vy8diJZDhSLHcUZxYNK50RV15Ru/Gf/dNrX/VD3/dH99VmvvviAN+3XSOk/JbuBXtdSw6pBzWMkZxbct0WecpVSfCwSATKWjxhi9FpeVYq++xjqdd14KbMhuZZsRIctmDwyRJOnddGZDXgeamnay7OO1WcLFFF90oJ7Lz51rF3prk1hd7OLUHH2CW4vaI6MUYQ87l7A+5/toUMNL4Ubv52UUFYxixlxd9kNjMbjVawuAs0U6MYjjxuuWrIO27r8dufaxGlAf1UUkstYZLNVh+r+jOZnDMTF9RLMTkYLYvpBzm4UyVRyjhGlzIbLZHveGcqAK8AW46XUZQyJV+kK3FYFei2lCrFZyxYvTwuOZNbXLVq3ndwYcVw+nzESmfEli0z1z3xqP8tYSTvuyiD9zrH8IP2W46+8PnvWUqPIomRcsSFTszzZ+pooYulVZCdRGVRlfqCfA+cseRUFdjVMpMKuHMAyAooJGXNQ3W0Qc7cbguS/DUZg1O0YY2xeNYN46lxcLtxChPMnfVs+ll7m6fzhoOkco+JiPnTO9ukNkAV2ctqgFn2NebOxpgGZ6Jdz0g3HSrNg02NwON9rx/wB58PWTMxw7TGMBV4CQWLS2mRiSiKzpxdOKlFZcWarFTvGUGqs7EOKgO5tijj5EqqLCp1FYwueyyL0uTSoqxWd5ZlzEVTSgF0ux4H60KyasNLlckza1nYLAg2TLd63Pe8x5PHWoBm5bE1ZndE3/Nd73rzXQeOnv7yFbu3jgP8/BJMtdJLP3Z7eEnDHOfvf4sljgXPnqxxbKXBQlNQU3YMaHkdW6m7X1qSVL+cyIzwqjwpgD5Rnllo8QnNmYO+OttDKVFq8azibmzYTQZsrUTppBR2oOu4d43JNmPuMsDUFfYOvIjHX5QcOlPDKg8lJb406Mk6jYoAn3RR8nven1ps71EMt1TEicclW2Ku3NPnwYN1YuUzTAQ1CV5q0YnI5FvWhZNkOhzp5MLYr6wWwImKNCrn1uQdWFqZDNxZO5uyFXDntUA2KxPImZxi9RAVcCPyiVlfR6ZM3MbLOMpMtxQglTsfc9Nr7LvM8uE7FMTw7qtP8y037r3EI7l0tp58eR2Dr3XOY9I61nb5o69ovvqkJU4kDzw/RSw1iRFY6X59uQ3GRSygi47BLK/gqjQpAF8FegXcqqj5Lm23UrII1z0vSnC7IFMU3eK6ALccA3h1+I/rtqcAdpGtLJg7xdcuseO6gmIsMX92Z4Pl5Toi0M53r16EkzUoE4enqr2rrDrmTRtFHGvmZyXvfUOPx19sE6Y1BsqnnjotnpezKkkG7nytMJknXhWJcjyYy8Z5lBdYtTdSoky+ItniuQO4zL6nKdrm8i5/IWTZHDHJ4BNNK2W6bzLtZy+KnbLRxaJUSppKvv1VXbbPHyJJoV1L6PY6+KunSdNB8TcLgP+bX/o4WkmOn+vy/InNPPaidZ/Eq9MKBFqWS5AUZZ1z9dyNL0PruTz3/0t5MvFYBXSVxcfGi5WMLasMrkSFxXO5IlF6HOC+zgYAefnWgVmGU1u8IhVvsufp2F0r17nz/HH4+O0tQumjpMqyl+MX4mQG8+KXe8VJqbgpxuT2mCZINe9984jf/eKAp4/UiZXHQEr81GTukUCmtnKcrGsvE9UQ32S/a3zfoiqTpwZ0YSG60dYqKwlQqS2HdRZzWURxQScTelxQYXFRBp2yihfx0mv9eJ7IZjaxBVnKuSj2aegGb7huiBDQHzRYHTxDtHQGV59YAfjS4gXm5hcav//RD+9+bv9zJMQ8c8oDqWhqQVPZrAgexxpj29JVg6iJDyrGr9Hxdqf12vulJYoogDM5DllWGDsPMvOpTVrnm7xm2ltNgDtP33t5Y7JxM0OKFrG8pzPJ7jHKizh0WtOLfFA6kyd2ojx28sIdR/j4QKMJLzzrxikTP5qmJ7h864inD0WkJmBofGqpq9nWmQZXwm3k6hJLOVsaSiFZhvtFhjNLWehisKl7TxlIpQO8ynankKacEJBP10rz7v7CACiDyyLwnDjfk+AeZ/Px0tvqCmCERWUrk8sVaMSo5tojVcr+4y0eenYzGzZesfv7/v4PNc6c/unBlq2bHcCj4XEWz11488uvafzkTXtOE6qQA6c34inNtLbUtZun4RcTSdeXgRbx8EUCyUnAV58LOQ6EEthlH6OqsKIaG6qZg5yyRlpVQF08z5I8iswLd+B2AC6HAnlVeVJlb5X1dfoRKz3D//fPWywPa4jAc/JE2rFVpRyc8/U159g0gbwJu2Bw56gkiabd0Pz4t/f46uNtlkOfSGqGUuJnPZTlyIeMwav19MKQl9FaTAZuM1bCnDce6GziVB6k52BXUmQM7iRRWrgoFDKl1OFlO2EpU/LAs3xelW1jq/8YRkqZI6UtPPOy/lZkv2vAV56M+e2/6PG//8DUTz761IH7ev3hXxQMfvTYAwgZEA/3c+r0Ik8fX0Br187VyobFePkItGJ7aMs6mYFLVE3qzuK1YL1MGdPgogS5nJQo44NpCmBLgVTl+DFVAbXOdpfQObBVNsItB7eXg9sU4PZ0Xn8xzt6eivH9iD+50+O5w3WQHlJKgrw0tiLdij3isy/5ktWEFTYvehMrMiUxMtvkyePqSwZ8221dfveLNYwOGEqfQIoi6aOkIK4EdJNMLqpMXrHjqjUxRoGyblUwVjhw51PCDKTF/BRRArzy6MAtsoxmRXJWWLscP2EnyK/C6gU2KjreulUkr6cxWXm2+wsp1+yJuWzXWQ6efJa5A0P6w7CUKCeXNY265tFnavzOJzew0p1jU13Q8AxBXtyTe9EvtQyvuyIn9KeA3DAjAwMTswWr/27e7lWwecGQfxnAZQnwItGTA9y6OdmZFPFU6ZZ4leFApeZ27O1pN7VqtWP4zNdaLHUCqGXuiagEYy9xbPLvWaK7KlUmbLtKgsOkuZuimWkrvvV1Az59/4jlfkCkNMNUZvakyNwbUbCnlBPMmLF3/pYp2LzsjdS5s6Ky5zJ7Ld3o6/y4V0EupKh03+dDPDNpMqbHq5Nrs1VmAuBVBTCm47PnUlpSYcuKyKy0IU4Ut14xZMcPr3F2MKQ1bTGpk2T6uecPsTA3u+tr9z34Ew8/+iwNZliYBy3Two7LbUHxUiewAtzqiSy/0MUCTDHG4GPsPXaw8t9dBfb47O9qh4sb7s44uPOdDXLmVhXmXsfg+biJcuSEVi5zefSY4ODxGoYAIXXRnFtWD1bjB1FxNcqrvbrClkwuKvJEFE5G0W6WarCaK3ZGXLJ5xPKBOjb1HYunIouNShenDO6qhV55jZAsM8w2Y3Nb+uRGlnMjq7GNMu6iMZJMe49joug9lRZhRDZLJdfkVclmi1VtTIpUkL3+IrCF7JPCItLMtozdbJi+9FnrNdBqiikVs2Fm00/s2nPLk+fPvOWY1sqSmnBT3VdvaYoBV22TjGJLkpSZyxLMYp0LUmXql2LvyVkaOaCrqeyx9yq9jKUzISrBZglox+Bko4CrPnj1nm1prargroA826/ey0pDc/ZW2WutY5SK+fyDLQ4t1cEv5YlXsS7HLljWj4u4mEwx6wLOPKM5rsWjSLNnPuLttwx45PkGGI8kdVrcy3aLlum4VCqYc8ySy0BubUWiVORK1r1uZbaqyPzujn2arRhSZKxu8hXWFsRUJnyqzzPQiioZ2osTZBXwYytAJYitBK4ma8kbhZKl1YQbZtRbesPRptHIHNPNumvH2jgn2Ldbc35FsdZLCCNDkpZacVxqTAB6IrAcB7q4CHtPMDfjWruUKaIoA50EdsHmSlSacCvgzuYTltt2sB7YuhwQVIx40yYDeeLkiYqpNyIefEHxF19rMhz50NBoKfDEuDSZ/PzV73xRgDOhvycsw6ovHieaqZbmXa8d8cX7Bzz8go9tegzTAF9QXGiq+P2lDh73shzIx1LkmPICU47NU+n0uKmwdh7Umyy4lEZU9LeoBLoXX+2pxAX5Kp4DffxYiQks2TGg5cczX3VycK90JUdOJmy7LGVLaOgNDLrmDdBCsjDd57LtEf1Ri1GYAgKVlv/I+GkpaVrARVM7k/Jk3FJcL0/kRZ4XUkSUoJaqsntDttmVroC7BHleNmvRuhyhrLNNmLQaB7pXsLW7K+UCTN+PiKOULz7Q4PkTDfA8hFQZqLK5IZXgUsjxkyomj0euFooio2wyayWTmQdQRbFRZhdGkWbfjoS3vrLPU8fqhIlPKj2GRuGnTHyWcniOYD3I7cRnQeUXm8EogcqL5qTAKpC21OPFiipBmsosQ1Oy7bpYbZ2snVAGlUkN1Zu42JtjK6DbVWQUSfpDOHwm4crlmEuGMWv9CP2l2z+JsR6t2hL9pM+FlQABxU5pZZ9ovl2fGP/lL3Erlp6L6e8J5l4HcDkZYJY7EJTSpGIVFoydA7ycnFpIlIy5HWPbgql18Vg+97LgUquYwI949rjgy/c3GAx9aHpIkVcOUrEHL5LFrHzP6hErj6PNNLAdd1OqCZ9KAVYUe7RaEW+9NeTTd4946kgA2mdkJH6mxZVxG+xWpYFIKeQBaRXsJbCtdStfIV2kY/N8VcmDfGMd2KUpE23CVN2U7JybktkncxwXy59M2skvdasOZrWU5QZSWjbOGeozlieee4hh5wDDKEE/9PwKWgtWOjFHjtdp65TZtvOQEeP9g5ND6PO087rPIy7CXJXA4iVZXFbAXtXcBcid3q5mM5XKKgyzikLXzpU919X54BPgzu5ePoU2K/DXKnF3HeN5MYlN+dx9de55tg41DdI1NHuVEt6x0tjqvfriJU7W+Dx0UexGnjsq6VjJqCIcebzm6gFvf9WA547XSBIPKxRDofFSis8k0pLFy49wcSavDrFXKrMMpWNz91ogjSh0eOH354yer7YmdztKiTnO3pNuSiXwLOTKBH1PKIjqkNYqJqWE+WnD970p4vzaWcJ4mXrdoFdX20ghCMOI+fqAZs3VR+cbl7pEhC228WPsgFxkObkIwAugZy9kFeCVtq7qzgJjwB6TKtU0feWe7VhQAr1y1+UmqDmgvQqoc+fEOSbuUakY34t58pjk43e2AB+khxCq6CJSlaGj4zanKFawbB2bAFhJDmM63FQ0uBWY1LXuuSm0qkjfW6t53+uH3PHAiEcPu0kCsVEMUpEVfGWgS22x/IvJc5R9FmutY/HqeXXEnp1ri5HZfj55UJxrb5mxuXCPxTk0lVyJrFz869yUCvl9Heae3OmjnCtfVrdKBcsdTd2fZirQiIZbmvRt1yg8LVhZ0xw95bu/UBXxOcArIC/AbcfUXHEI1/vf+WNlyuqELCmlisiSBaX1lAO8mJNXBXnWmlZuNmUzsOcD8Etwj7F25TFvrM2lilIJnpcQpwl3PVznmRfr4HkgXXDpi7KrqPDsi1Xn4hp8Elq28qRogKjUiIxVF6YSozJHJdWEkcdVl4x4zc2OxYepY/FQ+IwM6FSUgV+a220ZEtLqmmvHVuUx61KCVRZphetCtC4QFVZgBUgrSqlSCSpL9s7Oq6le+JW57hXGfil5MrkBwviObuV+nfk3Go4EF1KP1Z4mShRCWPTSaooQEMWWRt3Nuyv+kdS63dEqW8CVtlLO5he77HLmEONL0URip3pFO1BX94iZqD8RFHvvFLsX5823Yw0P5dYlSk2AuzIUv3BPVIrSFYBnEsXXMYfOCj76xRZh7EHDy+QJRWuaKpbjinVVaMwJzbL+EI0BvSpTqpsDGHsxLa5pBpLve+uAz93T5IXT7uJLjWKQKlcvlGbJH4TT32k2lmNiJckr+KsAl7bU4jLT6NJYrHTnyErhAG5EGSvlTG5KR2wywJQT5389wMen5RQhcgXY1eKwtFIFWcYxlqmm4yNrQb/69d+x8djRF396/3OPMt10wEoNJAkkqXB7FqblXof5VnHGiiLwnLxVN4iqBpqFjz4WWIrx1wXIS7aeLLKSldoPVbB3BdgyDy7HwZ3P9iv1dvZcmlJ7Z8FlZBM+eWeTJw/VXbuP0CjhMpc6q8GuNhdXZQqVk/p1b2MavLQK8ylh1hgH7DGQS4zRRCOP6y8b8u2v7/Orf+QzNBqMJhaSoXExgjSZBk9LWciEs5I7KHnAi3Xfyyq3qigLNvO+rS3Bn4Nb2oyM7PgqlkuWqnQzf4mbcjEmGC9nmCjrzbCZJO4xzehcK3jFTTf89KWXXPYjeto/MH3p1qW3+WGHYdRwM6kjSRgJwhii2H2RJLWI1LgPWXxRXgLgFaCPfSFxEUlS1eDZUlcFzlgduB3T3gXQK5JEVbS3KnZ6qGxEpeyEJMkrBdMC3J6OOXhG8rGvNnDzVxx7F537+e8XjI0XlpWTVQ00RfVFIUsmdK+p1oaUcwVd4JkB20pMqkhVpsVTzfvfMOBTdzXYf8oDGWGFZJR6aLJ6kfxYp9mZSvPET87cFelkbdZL62Zj5Z8tP9fSgrROtuQgltb9Dmsyf9w4eWMu5p7gjtW6ZGE1ZpsEdwXg1lb3vLfEqSGO3T2MLGFiiGI4cHwIzaW3Hb0gpvWJsz1WV9fo9Ja5cicsrgX0h4q+dDNIyi8vAFkUvhTgngB5JbaqAHzcEhxbsqo6Vo4/H2PxnDFlKUfyzabyoDJncTUBbjeRNZtnnlmDShlU7nerBCUTVMbgqUr47H1N9h8qtbcU0nnfRQfNeoaqZjDHtOZFTlx1Ua7GNWOeeGUilTbC1abIMoUfxZp9l4a881V9Dn8sIEoVCE0qNEMh0Glm35EHurmjIiqfoswa5oMwrXW9tm7Eg5MmBZvnd2HLFL8AIx3wTS5TxnxwUbK3nbSLx4/N5Ko3tktEwd6OsePKJl3D0NAfWZa6gp3b1ti6scPsVB19dnEWTMT2BY/56T4Ig5IB1nrZVNJyx2JrM5qaiGq56AesXsGlZMlP+mQi4OLNDeOsnb/OWTsHe87cBdBVlclL3a3yIFJWpIksh+YrleJ5MUfOKv77J9uMpEc+Qavsmq8UnomyXLRk6mqE/XXUSZFfyJnbncnqLhhloCmLWvEc3KnRJKlHkCb8o3f3+fO7Ghw+o0HFmVTxGAqXrCvKWKvB5gTIc2/eArrIebj3pM0kCjZj7dwTN2NsbrPfY6Rw1X/VlXmC3IpDdRG5MnmcoDot1414S1NLmhrixDKMDJ2hZaUHi11Q5xrUdZOts030nu0JSRSTDgekImXTXEyazjAc6fHquMwScktWGfWPRcDZJxwLLCkZnJyl4aIMWAW2mGDtPJEyDm5TShQ5zuB6zN/OdXZVf1fu0rG4pyO6keG3P93m9IUAlM6sQZnJEzvmexfPJxlpUpJ9PaCPLcN540G1RzNP4VeG4eTZTalIE83WhZAf/rYeP/9Rn07sph5ZKwmNcrZhmn8OC6mgDOZKkJf/dz9RGbqspWBulWc28wBU2pLBbeXcZfrbXkR7r7dS12vySt3VeBA+di93So5jS2cAJ9dA+SO6acqxcylSx+hnjgpOnfP4wl0L7N015Efe0WGqVkfI2pjXmF/sUmTp5ezSG0v0jGmq9Ver23dxMrIeZ+4c2CVr20qwaYvAMm98zf3vgsm1yRjdFNLEyRFTkSo5YyfFo1YxOoj5xOcCPvhnbULjOXkiVCFPiqbiCUtsTHcX331s4X1JFs9xVVqFVdDnKXvraqBNpZQ2c1USo6nphB99T5+Dx30+/FmnxUGRCsnIuN5NmVIweFmAlaOqNAuqdqUDdSlZrM3YXJRBnyMd6+zDscSPkzFFkVRGcqY4x+P6ewzwFzlk1YRYNYiXOCLoRZbtm7v88DtCts8qGtMx9WaMftkeyfZphe75nFjyeei5mFv2QRgpRiFEiRP2Y7MzK6wki6uwlCH5+2PL0MVAXQ0s82V0TKLYSpCZbdFd3TJQlcVOSpmKVMnBXGFyWVYHFrq7eHSzBldW4c+/2mA1zMHtAO5Jp721GJcnY6tObpdNMNAkvqtauzhx2Q/GqvqMKJIq1U6fok5cSpRRGKNJUs2Un/LuNw741H0NlnsKZAxGEeP0+GR14Th+XprJXR6oTArl9Sl5sGkzFi8AnfnkxjLB2GXqPjdsCvauZFxzchzLaoqcBGwR00npmseNbwk8yVR9xE37DPFwni/v99i+q8nMbA3t+xGt1ohLdvbZuV3i+5rDJ+ssrkrCuDKPfOxwCKoShAkwV1m6+ufGZAkV5q7o2LHt66o1HkVgWW0wGA8q8+E0JbjTsQAzDzLzfW50hb29RsLnvlbj4WfqmIr2dk0NuTwZrzcpWrO4+MVctcIvTuIZe1aswuo22NVmCFsNOq1E2dIXT1IPbRJecXXEO24a8Puf90FFICRWCEKjUUK4LUjyQFOUoJ6UK1R8cJX3SOT2YS5PZaVQTLoZLyVzV2RK5Zwbkf1+IQp2BybaFie3rxnHncBCRihau4GptcAS1FOOna9zegn6/T7tzSH1NEY//SKcuyB44mnJjo2aVivl2CmDR0y76RoI8sq9EqgTQWNVhlxEi64PJiszUCalySR7i3Fgly5K9lpZdDZiTMrMMZE209UVSZI7JrIiUaRzTwIv5vAJyUc/1+Jcz3f7XUs36F0Jyh0bJlaf9d9XjAH+66iTks0LiVLVlxNbLVY30a3UiSuZP7oRwxubKd//jj73PRNw+LwEEQMKg2QkZGUTKXcOclCLsauw4pDl/y+ymdl5qLK5cM9zMFubATk7r3lmPF89bOV50ZSR5dvlGJOPN4yUcV3ZI6CUmzU51TDs8wwvnkto1xUbpi179kC7DVoLj6YXsHuhxTWXJJzpdDly1mM6SABBvabwtQRkAXKqoK1cfRdzRcbvdkxzlzKlUvlW1FdXmFvlgJ8AeTEje/J5WmjvIqGTjwNWCUqm6MwW9P2YMDX85p+0uefxuuttk9ppbyld144o568UnzVfWZi4yCeYvIpzMQHu8Qxm6VqUe7xXy2erZbSu3awYMZwaEqlRieY1N0T8yPu6/Mxv+oSJdI2oRpJkroo0ovLZHMjHRjhY15JG5fO516ISG2Td9VkSyAWYeZGWi4+sFRcNLgtGX8fcFP28MrsycpxQUQxSZOUZ2g1KbdQMW+ZiWu0+z55IOXmqRbTZY/OmgEbdR1+5J2a4KeTyzctMTQ2543Mep5c82psNUSxdIZIsD7qQYox9J8F6MbAXTahM+t3VwT7jsz2KoFKQzcO7iDyRtuj2dttmm4pEqYz9zXV3NuO6CC5lgucn3Pmox6fuabhdA+q60N4FexeB7frM5aT9VdXfIl9WL8bilfxBDuxSGpTFV1ZljG7Ga8VTI5HGSZViWHyiqTcS3v2aIbffM+SOR5WzDZEgJLHQDCnPE7k3XpErbreZcU3u7pW6FJl9Tgkq+375a5lpcFuRnVI4phciw1D2PLtuKjmR7DfbElemSP2LzMLLpKx0tf6B5wyFrfOGfTv7/NbTPi+e08iphG29FP3UYcWx05LP3KVIbJtwVGO24bRX9cuNKcfKElSVGFWtvU6KTAQbVcYekyU52GXFscj1b7GfepYqL5I7OZBLYGs1AXRVgltn4Pa9mLW+5XP3NXjhbM1JE+FKYkWuvQWVCVJ2HbiLFSlnohzQLy28x3FuKVLk662wcm/R9cOByvS9lAppUqTRxKFm76aYd9zW5+H9Pp0oS78ap8cjFPk+EJLMGx8roy3XHItL7hQXpHRIUFlLW8nmuVTJGTyrIc/OZQ7uAuiZLLIV3OSWoqjgy1ba4fLjUZkuUZyD1Ag6/Tqvuirihr1L9PoSvxXiBSn6iq0edTwebNQ4dEYz17DMNCy+5yZE5YVP+VVWVPgVQeB6XVrOyHgJ3V2w+HiypEjsVIBdBbMQjAWXshjMbscYeyygzBM5VRdFuk55Q8rvfb7OBz/ZwgrtfO8x9qbU3vIin3sioMwvforc4EtgvCJLxlhyTH/nTL6+lc3kaXtjMKnESOeLK2mIUw+pDD/6rgEvnvH44Kc0cVKC3CAIhUSZfJBETqMVkBegFi75gWPO8u1ch1MCXTggy/yvCZu5KeWICSuyCVXkoHb6e1wRCCRuPESRlMqcFzlWcemymkkqGMWS1W6AZIqZKZ+Tpz3Wlut4gY+emYpYWhuBGtL028y3LK2a2+nX80QxPKecIFVpNLjYiZcTjFYFO+N/rrrffP4Fc487/3vlZktu7sakYyJzcKsJeTKxZ73K9p5xGjzG82NePCf51F1N+n0P6mo9exc135XVRZQJnoJFWP8c/vIkT8ngFdBXJEt1bokrDxVZ13sGdJkDXWKk0+JSauI4pdVMeNdrB3zx3jovns1OmhtQTSoEw8yTEAKEycBtS7DbAtR53qOsEReZjnBOSp66d+ztZryLgpHHgC6t0+VZsGsL0nNgzv9M+Xezj5y645hm/7YwWU1KKohiGI4USliwNTzPkIoO3eEIwhT91HGPg0d8Fhc1u+YtrXq+bbXbdczz8qn/ZWOvVNUCqDKdPi5FJlmuZGkxttTbdfIkHwemKixeTexIUR3MnjsnZmy7DVmRJVJmjknG5FonhLHh9oeafPWJrFpQeg7gE+yd25ZKiHFplWvZavq5EvKLvwzZ44Q+DvTK3Zgse5g7KdlWJE53m1KmGEkqJCqVGKGIQ80br4t44yuGnPyCR2icDs8qoUjQjASu4jATJM7Lc4+5LFXFMpQ7Ktm1IiiAjxAl2Vt3Tm2mm8eAbsvRDyZXBBOre+7MiEzaWGzhmbvLLxvfJpzVn4stY9xKFaeSLXMxO3cJrLLozQu71sJe+sVXXzPz98IoRoh81Fk5S1tXBumoak12BdxVX3iduS/HX5dORBlQjg32rMyglmNAL3cZGHdOxvW3KtLvaeV5gpSuU0f6CXc/6vMLH5kitbp0TqRCCOn2ARJlWn6cwavxw8XZ+6+QxCzPWM6A62SKHZMrhnzqVVaMJUpHpdDk0nnjwmiSxOD7KT/1A11eOKW5+xGJ8UUGWfcFYqMYjgkqW5ElF9HkhReenf/888pSXzsjImN0ylESuT3oYsUsMBU2c1XyYjybXRQWYYvQhHKX8uxF4koWS6nidt0ehJLlNcVhu40bXr7ti5fu2rOmbr5+az+JFg+3m/JHFKCVM899X+JrWexpk0+HymeNlCnyybrscVZXE8+d81H++THrrwgaJ6oE1XhAWbz3EuCuShU9ltBxvZanVgS/8NEp7nui6bwm6drRkB5aCuoSAkm2ydV4c/H6e7mqFdO1ZHWUhWv3kmqiYboi78rXonLRT2R1q2RQmQMoJqVe9WcW5ucSAm15+GmftaGcWGpkMUW8rDh0V6gYA371ai3fm0wAFhfChPwqY43xnxXOUeUiX9eDWZkPPkYGldgklythLFjpWnojwZET577/4cefe0E/c7RHaqHhCWbrkoaSSFX1qMvGXiVwttzkQZ9wQ9YFlHnjqxz/s1VHZXI7jFyPC1HOpq5q7vz1Re+qGlhmpbDZ89RP+einp/iLrzWxNQVCOXQKjZByrN9Sr2Pvl7YHx/bCXH/O13ngduJ1FRDFiZ1wVqodPiabH2gz5rbWlDUqQiKNIhUaOUx59+uGPH/E4xc/pImCZMyot8YjzGpnRJ5fT12RSV5zVBiGmYmhpNvrp3idB5vCTYGVeTq/4o5YW8pRW7hNdizrKRCFvVgmjGxxLPI2OefWGAdsOW6ApAYu2dFnw2xMnAh0r6vcDmm+ZTqAdivTWNmVMqanJ8pWxwE+qburcqU6Unci4SMqwJYl0KtSpSyuMpnvPQFwZTIA5yCvgjtFVmpP7ngk4CNfaDJKsyn4IrcGs6ylsGPa+6Kp+SrQqQJ+Qq6ICZRfVKW4s5l7z+symth1JbRWVjKbsuKsCOUKs2RWnCUNqdEEnuEH3t7ngad87njC2YW5N44UGKsJjWtHK4pIJq3DTLrk16AS7rXMtsPMHZU8MLQmc1VygI8B3R1LcielOF6lT24ybOUFXdVRFUbmM8MLgwWsu/AadUmr3qTVEMQx6Mu2+1gr8HXKbDum5qcYI4izOvA89sgtumqSZv3zcXvQjb2tgr0KkOrfGWfuMXCLcmcvtU6Hm3EPfJK9ZVoGmDpmEMLP/s4UR04HWF3uljymvXO5NQbsCUBzETAXEBbjeP46gnxyDMd4RrNafFXV4+trU4zMKg5llcUVIjUIoZGRYc/WmH/zgx0e+JcBvVH2ZYwsPleKZpSX6uXF3aYEuZWAEai8UTlzWFTGwjbzrXPdLLLiq/FgsgJ0yj/jjqMDuskJ0OY+uchWhayRuhg0ZIvrLzU2Kwi0dIeS4ITHhVWPJLXo225sIIQmTVfRdhFhGyytBfSGmjgpr+Nxn7rifuQAJntOtQFg/M/mRTSqAL2tsGTpnshMCuXbZLgkT2Ubu4zNC+Yec00qu/NmnrfWMUkK/+0TLZ44UHOet8yZu3ROPDEuS9TERVmVbZPM7d7IayzES/L1OiafcE7KBgjKYibripnWVRsKx+BF0GmkA3kqMSK7p5lUMYbrr4j58e/o8F/+ZJoozaiWAmmkKEKTa/GMOisgR5SgLj66cBv05m6HzUCaAzSvMrRVSQdl62MFKyVpZJ1BggzQFK+ri0y+viSJzbp5IDZDZK3FSLSI4wTd2vpOWo02TzzzGGeP/x5vuWlEd7gRhjqrA7iIJFnH1hNjbqvvTfy8CuIqwMWELCkTPuP7M5bsnZZeeDWpM3bPAstaylceCvjwJ1p0hp7zADPPG6EQQmTOSZm1rJbyVnV46QhdZAbhWFgmitdiEtATrL0O72NAtxVnpcra2VTYXJJUk0DC2YipVEhrXL1KomjXDD/0ngGPPRdw+4MKGkmJyOxEJ0YyIo8pSpDbTB9T2JbO887ZW5qMzbOa/8IVMlXmrqzgVowxeo6zKl5yz7yckkXW6Fy1a91fHsVwphdx2zVL/NMfeD2X7LmJwbCLXpj2mZ/xeErW+NAXFrj3OZ9bLvWYbYpKd0yZgKkmaCYLqODioF4vUexLSBQK1h7X3+UOuw7g6bjfLZ0VKIt91V1gKWWC1AkHjmn++8fbvLjsOwtIVLR3VjHoifHdK8ZAfjF5MiZNxvejFy8tuUvamahFKVm8TKwUjRBcLI0/MSQoL8SypthUVuRSRVgnVWLLJbMJ/+i9PY6d0xw6LbC6KrAESI80AzkTICdLAqlCemWsnf9RmU3mEmUqvpAk1eOYMX41WCdn9YmVcd3uexaEqW5ZA74n2bcLvvtbRuzcEKGkx1KvRhpH6BMXQgaJz5GzQy6cT7h0tsXyiptS1qqXW2PnhU3yYsw9Vqx+EbCPafGJ7GVVqlRYe5zNTaHFlTIu0bMumVMCXakUKRP8IOFcR/CzH2rzqTsbWE+V6fivw95l3ff6lHwV3BdL6lQZvdTh44AfY+0JsOfvra9JqerwHNDVADTv/HEMLkX+PAs+hSFJDZ50rkonlPzkryjOrwkIKmi0AosumLwK8jxwtJkmtyarWcodldy7zjTySwKc8dcFVijBPhnAkwPcZF380kJmX9cCxfy0Zqo2y/YNS2zf2cGbGkDSRyvt4QW1c+2G/+XXvGzjW+YbIfVaNkS+2Lcm26I6zzIWJ7K6yVB+Uu3EB8v0eRYUyHUgt2PyJ3+tqmCXFiWcFHFgN6XOzjKVMnNN3HNXaxJh+Oz9Tb7ySCOrNVEFsMfZu9w1uDpv8KLFVJUDX1blTWjxKmGLCpAnb9ValCqgKT1jazIwjdWnuLJX1x+ZNUEIgRBZ4idzVqSUGKuy9yTCuorDQFvefNOId75ywB98URElwqVt8w8vweKRWMHIlCC3mXPiJI0tAkslXHJGiWqwWSZzqnZhEWzacTIoyxpsRfK5H1TxlBOPkbll6UZIDEaWE2c101OXM7ez+eXpGf8caNTv/vav8+pX3rY219RrMw373Um4yoY5j6mmoVk31HxT7kJWjGGwlXFpE3KisPsqgWjV15aVv1NMpLLjrWhjmjuTJZVy2CpzVzvidQZurRNSafj0PXX+zw9OcfRskDUxlAkdV3MiCCTUpBtkr7MxcPls8YslsVSuA0U1myuy9yXFtipifEh/3mY1lrjJnbrJe/VkVq3Y4v2KfSld00BBPJJ1f1aIHCjZc2OZbafsuzTm5AXFoRPaDXKSxeVaoM8KgcllWPGziyxLL1mbIIoMZ2XBGr+oqSRuqs8r5QpppcDKvS7nE7p/WBDFhtbMFSR28/9+5MXTD+267A1ujx7fc/UZ7aZl6wbBxrmERi2l5qdF+1ceCI4to1VdOfZ184qxqnSZ2JhoTHe7HXrH9kDPZYoqXRNZkSJjzJ0FlLkl6HkpR5ckH/7zJi+8GEBLFW5JkdiRspAmRZ8lFdDkAJrUhPld5ud0Mvt38fOdL8UVnlqX7HGsbSYSPqWLIgswjKfvpQBj3K7DuTcuCmaXGV4tRiiEdd54HFqu2JPwA+/q8cgzPscWZfmFTa4JnAxJpGCUxwN5wJkVZNmcvbMvaTPWNnkqH7IgMSvKLWxnW2Bm3bF66cWuOJa5yxUl1t1jy2Bo2LYSMTMfEoYRkG1Cdd21V6C9OssbYhZP7cf3ykE6RclikUotd+jKT0DxASaX4YsECtVtKMb87wlgi1yWFHp8PbjLQDNFiZy9U1Z6gl/9gzZ3PVkvqwQLYJfSxJdMjEEutaAaY8H1wc/FgL/+Qv+r3ard9WNVhdU0dn7cjQNUIVNEBfyVTKcraHK+sQO30+NCKHcZCUM6MLzu+pB//IEu/+l3JKvD7HPkzQWGTHsrkpy584Azd1eyjhunz8n6CESWALKFvVfYfiIHeXX/opc+JmOpfXsRiIk8+WhQAl5x62Z27d5HtzcsAb5p00ba05tvP/zip35B+t2f3LrQR2ufJFbjA2cqxfdjfYOIsaXCFr+8epVWtFXunAjGAsrSNjQVsFdsQpVmoM+SOKr63GnwkbD85idbfOgTLXpFtnJcdwvhxgznzslYUVUOXNZnLyc14fpzY6lOA/urIH2yu77qotgK4MuTXCnAypZpWRn5Jio2ojAyS5pksyWFzAJrQ2oUpJaWF/Mj7+lxflnxa3/QZjjmqIgM5BZrNEnhkmQXW5GxdLtsgHutini1bFao6vBxzV05TuMCYQzUY3XxxtVbJVYQG5ynLyP27ZGcWjv9C5df/r7bjx0/UwJ8amYL3/YPfmZg0UeFafGBN53h1ddCq+6TGp8w8okTTZKqYu8YczGg56O+bPnByyW7lCtjwWXl+bhMqWhu4fospSiZWxZJnswOlAlow/OHfP749gbdWIOvgIotKJUDOJk0Ke6lO5S3yV00U1l5L2cPxPr3x4KkvwLSi3T9RMFREWjafGcFW7kISmclHxQkpHRgzkDu7EuJEcYxplEZszvrUBpLEhtatYTvenOfLz/o8+RBkcWQObgp6NcaRZLrdFP5ork/LrI6FWwhT6zJHJXsnyokSiXnJdZd5OMAN9Zp7tRCYgRRCsNUMIgBImrekNuuWOOfvqfNloVzR5+6918Ornv1fwbKGnb+4o/+C9/6hutvumTjyrf+4ReP83/9UQsIufnKPoHnlObFGhSKkzvRgze2nE/0WeZTqdaXxVYah78uuKtp+Cyh46c8e8TjH/7cLE++UMN4lVS8GE/J+8IFlvk2gFoyVjFYDNecfMwCzOqOxmXQKLINoCYG9hevq8/HA8pq4CkuEmiuy6JWVsBxyzX/WfX4lz/Ltfi6i9FaNi0k3LAv4YFnPM4vqry8sNQQRfwlMbmepohAqA46EuvXtULm5vRsK48FkCtMnVrH0IkVGagFkREME0EnkXQjQ5M1fuzvneHX/vF5GjpkafQm9l75nZ9N9FWP/Pf//t9LBgdoTE0z1Wrw/OlpHnxuI/2wwS/+6YjZ6eN8/5uGGCMhO7CJlMi00k2SsXrVq82XmTEGn0j0iKo0EaUkGZcnZhzc1RoT4RI62jP0rOQ3Ptnkyf0BqZpI5mTgBokWE80MVVciC3opLszxNP26sRDVnxXfcyJo+jrkbSeW5HJtzlbDCVYfZ/aL1IxbN87YtXu5C8pmvngq3D9gRDZANdfjxpJi0MJy/b6Qf/iuPj/1Xzx6iQCvZO9cjzv21gWT5yyd24hF32a++uCCd0wWgFo7dgxtGeKVATUO4G7QpiDJmDs0MDKCYWJRUZ/3vu0C//t3WNJ0IzfujTHNgPbUNPVGAesS4GEUMIxqL26Ymjv8pmvnLzlzfsCxlTpHzzaxcsUNpsz761JFIvM6B+s8WNwyks+NI+uuzg9Drr2ru9+OJXSy12KdPJkEd/aeyKoEvZSBgQ9/qsnHv9IkzMEsq563o0aZuSaesIVzsm6fnSprwgTAxx2yMkDKWawKXzHx+BIgn3heLU+d1OGZHJ5IAI1LFgfuUqoI67S4lCbLdLrpwMJKF4Di5EqaWnxhee8bB+w/rvnwJ1v0Y9wBK6RK9oiATK6UKfkM3FkQXA04C1fNUvRtinXfvtJrmYE7MZnGNoLQCEILkQFrDJ417NjocX5pluNnW3SHTa64etPhjXPei8OhV/yrhUT5tf/6y7zjvDWNSQAAOjpJREFUna8/PD9X37CyuvLaZNTl+ss0b7l5xKZpk131eVlrhekq5zM7zeuyms5WqwJ54vkYqCvypLACzZhjIrNUvNYJ/Rh+5zNN/q8PTXF+xa9053gT8sSxd5D13xYBpsxT9KXvXfSGTqbtpZiQFWLi/QlJIksmvahEuZgEyeVJWc1ajOpY3/5XkSn5sa5Wb+YXXXFx2jGJMuZqZSUB0+2Ul18Z0R0InjusXRJosgahcpU7yzBfrfMVbvKCFxdPdFX/jewi/v+1997hklz1mf/nnEodbt+cJmmiJktCgyJKCElgBBhsBAbb2MYG24vtNWbBa9YJvL+1Ae8DGAwOYDCw2IsBGyMQIBBCAQlQznGkCdLkcFPHqjpn/zgVTtXtGSRZQgL/zvP03E7T3VX11lvvNxudnWhtJejEgqYyAacwc3xrhOPR6VQR0SCtjkOtMU61sewjj+7c8fENG09bzOAA2w84uH7wtUi5r9i0pnrKplVdVk159CKXwO/iCmNJKGU6mwrhWZeXtB1XMfuMdBOyA5NGQ/t4TCyXoJMAW4gka1DEFriTcHxF8+Wv1fiLf2iwf8YzTW4KzJ0zeBqxzNjbAm/B582xfN9Wl6XyyZ0dqtKTT3LZejR9IpUqUGZuq0mmMn5nw9aJNElchkLnPnEhEtYWZO5DQSJVtEYoh7CrmR6O+cNfm+fIvMM/XSGhkjJ4spOUzhIRwXjaSMr3UgZP3YhuWluQ6HYH479Pjc3ytqcGZZiAuxVDTym0ikHHyTsdcD127vW4TsRsXuWxdKm+43kbo6+1Wt3CPnXsB5d//jP8xmuW7V4+0Tt9xdSRU6cnDjNYX6Be6VCr9KjWegRBSODFCKy85LSNQTIHPeVxQe7rLmhvK8dESltz65y1RRqxNHLEScAt065UFcX2PS7v+eQgt99fgcApMnbBsBR40qRcpBU76Wz3fuVo5UIHJ2HR4jgV+3HOzlnGm8hbbvRjcGFfCSwjs8joIgsoFepArShx9hw5cxfSCZLjYa642mJy2zuUHDWRtGpQmsFBRbWi+d5dHkdnEl9qdqm2DY0ik6fHPq3aSZm8fN4XLgbpyZwQZayN66+lBF0Vo8MedDrQTbrB6tjUgTqKThjR7ElmW8EVV1639yM///q3FL7HLX0vt+9dipCSu+5bYM/+Ni8/e47fePUcu/ZKHnrchLdrvmLL2hbVqkYphzBKNI/lNkyZO9sFtmFp30rgLjO3De7UY+L4ikf2uvzJR4f4zq0VqMictaXtEjS1d64gawPh9vFQHDOhSlhygWNkFmI3+rGfX6zdhbAimLrE1uRjGosH3PaPk9k4OvOBF9Np+yVlCczMTaFkEiSSCGVJFpXUzguNwDX2VCfiwm0d/uwtc/zxRwd5dB/gJb9PpWdNkStTJjfvMZ4XIc0VyBVpGm3yG9NLvy1l01AnxtAMlUZ3uoz4s5x0Uot6Um73wOMV9u71ecOlLS7a5hEzyZLpQbRW/P0Hi3heBPCfvvilOK7TC+d7iHaXzSsPcOAQ/Jf/PcJ9D9cRjotfjdm2aYF3vq7JqqkI3RFJp1MTCEoVnTnoRXkiMt+3KgFdZcDuB+4sLO8pdh50+dO/GeQL36rRE0klNHZAJ5cmBcNS5CHeYqbg4qKGRdFJG8D2ayVgH3PZL5b0aAr41KuwKFk8Df6UQvV2cYTSuhTZzAshZHJMlMiDP2nv8UyqaENWBvQOKE3F1bzmohaxgj/+yBC7DglwzZj3Y4Jci8JGyzTFEJ2DLc2LKZNBcj/tXxjHMVtXz/BHrzvItk0RtQrgKu7dPs+b/2KUe3ZU2Lp8hOXLN3HK817Vi+MIeNvxAb5h5Thupf77Lz1v2aZTVuy8YMOyClfcMMi190wQyRpu7CBCeOz6EbacsIc3X6oII5de6KCUXFQBJETqG7CMmiwcr8x92zOSsrjIfd+pa9B1Y3YdcvmDDw/yr1fV6Mmkj0UhUpmDW6TglhTTYCnJg/S3koNdimMwsX3pTXFbPlJPYZVxXYhosjj4kTJ+GuUTtkclyV3J9HdBhycgz8xCmRmaJOAWyvyKMNJ4TszrLmnjOvDODw+x65BvTYkVuS5PqVg5xDLfP6bviql0UjLvS66T/56SR2owa4xUqykYCkJeeXaLS8/26XQbmAL0iLM3tnjJ2RFfum6KqfoIr1iy5pra4Irfn5npLtqviwDuVQe44fpvzWsGH+xEnPuFa6Xzl19cghs0GAskNde0Ughjn2tvm+bCk9rUgipxLDJ2TkPrqbswmzyE7f+2NLcoafHUoyLinMXdmL1HHf7wIym43SK4pSyAGyEyw9LhWD1OLPamqIHTHV+UI320I/Z9ndkeT8rYXATexX7x/MmczQ1wc5mSGW+2XMlYPRnimrB6AfwJq6N10uUq92RHgEvMZRe1iWLBf//wEPuOYkBedh+mf7VDjCBM3pYalDL9a+231E4rjGSU5uqxpOZy7pZhHt8vCWOB68T4bkStGvDO1zdxnFl0OBRPj1QevPrqq+Zf9KKLfzjAwey4fYdm3/Lv3/dO/86tk88L8JgagoobE7gQeJqaL5geq3HfI4MsnYioVSJ8z4zFBhMaTi9NmRliaXAb5MIGtbSlSYwUEdKJiV34+OV1vnBljV6au1pg7iJ7p9LEzeos9aI878UFxfoYrC0KkuRY+jqL4AnxZPFdzMNYFNTRBe9J/lopEcv2rJTyU2wmz7W4AZ/SiVcl8XCYTdAI7WS+OxfFa17c4sEdLu/9ZIMIDFtkoE4gmwWEHGKgh/l+mRQLC60tt2J+LBxhlKbnaHwXqr5gesxjx2NThN2IWhAR+DG+FzHfqjJQrfK2n+1ypNW7qyuOvEUx2nff9gX4ueddxDe+/k/x639qsz6w5xZQMQKFxqRVVwNBo+YwMujS7jnMt4rhYil15kky252G9osgN7IkD+bYMsVIlAjHUeDCN2+o8rlv1uhmGYE2e9syxYDRzQBeTqayga4zt+Ci9AL7uRLj5I/7CfTivjwe0G1yLoDdem1RIYSVo0JicKbMnUU0VXJSJgyvLNehTsraRJISm75Ppd3rkyCQUpaDTWqEAj+O+blLWtx8v8uVN1aTAghKUoU8d4WkxZpOJKJtWIukPVy6v5PYg+dCxRcM1AQVX3J41sORDkN1h1olxvM80LCfAVwvZpYztYb4sp+5uO8+7gtwgG3bzqfT6Xzup87Zuf7ggYP1hx/ThJH58npV0qi51CqOqahQEMYSP1YoF7QicyvZrqiiByXX304Wls993VLGOK5CupqvfLfK7394iPseDRJ3YD/NbUkTSTI0Km97bPu7y0GSRcZlGbPWa2XN0k/C2CfEcZfu/1wuT0TuA89C8yXQa2G1a9CZbMnZXGP7xLOMQy0T8Nu/NzlZrB+XXn1jjNTbuqbH+986yzskXPHdWqLHhSVRkj2QCGylJKE0LZcdNE5iH6QnbKpeC0wuUze6qdSZXZCgXWIlqASKXih4aLdkZHSseenLz/xcEFSOuYvlsV6YmFyud+2450PbTll3uF5X7JszbFcJBPWKQ63qUAmEia0kB9nOdMvBUfKi2JJEqILmLhQwODHSgy9fX+UP/nqI+3YESTW8c5xborux6ytzNnYo1lgWmVsX5UYfeXIsIC8C8xPRJ33AnafOisLb7L7YuRelqNcLIXvIh1fZbSYyj0vpteyvLNy0TmdyOuhk4JXqOWxaGfHe357j5ee2IIohjkAZ//Siv2hiDaE23WHj5PvTyp0sbqLzfZ5uUxRrOt2YZluz0Ja0u6ZObXJknrmFJqOT6w7ffc/9H1q2dFnfOCkch8EBppdtpdedZXj0e+yf7zHd8KlVHGpVl1pFUvHBS4ojyu0fjJtQ92HuInvnssRu0hMjXPjy9RX+x0eGuOeRBNzSZVGUMpMrJiiSFxCX+5tgBU10fx3d57kCZjMWL7oQi+6U5Kl+0Y1jAL2fcWkffFueZM3ySVndZnNLq4vFLJ65BrXK0mmVEJB5VWTC4jLf5sRozJJhAHoRW1eH/PlvzaGBr15fSzfa/E3lStpTAodIQ5iweKwTuZLmz+hiqVqsTXvkXqjp9mJajkBKB8eRNGqC0aE5tD/N5g1rGR8dOu7ulcd7cc2qE7qR5jcPtSeb0w2HsWGX4QGPgZqkVoFqoAisms28ntIqUC6xtyyxd54ZmJed4cAVN1Z4518Pcc+jZXCngE7+Ji3IhDRna7E63g7Fp8XPRSOzIElEkZltsNvwTa9Pi7yCizBd+o9FXBf+9sV+KWyfVVNRnGVpFypjP5+yeepVUX0YPHtO5iyezeHMx6NoJYm1k8Q7XOKe5KTVIe/97Tle+oIWqITJtX1LmVyhVM7idlhepYlkOs0eNMzdizTdUNHpKdqdmIVWzNF5OHDUZf+RQS45b7Tp+fFvBtXl3ePswuMz+IM79qmh0ZU3vfTCS+fU7Gfr48M6Y42Kb0K51cAuSo6zaWd5j8GSDBFWZyoZI1Ld7RhvCY7m69+r8o6/SjT3McFtMXcC5ILXhFKdZXYrsrfJO+kvTzIQZydAscI7RW9irvV1IR4P3OXnCimyuvSaBYyMlRc9X8wyVCrxP4MJ5GSuQvK6TS2NZyMxRo2eNieK0NK0Q1EAjvEMSnKU9iI2rwr5y9+dQyP45veqxCQHo/RZ4BFqkxXoCqPFpdLEwqTEyiQrNYzLLTs0AoXSmoWWYP9hODo/wht/5afnlq1YflO7uU9xnHVcBl+9YgkrpkcPjQ2qyy5+0Ynh9PhB6pUurqOpBppaEFNNboEXZ/PgHSszMO8KW2yMmXpNHBllHWC1o/n2LVXe9sEh7tsZmIqcYzG3laRhmmaaW7m+0hguxb7lfdNhS+AuANmWLBZgywbpU126z30buFkuePk9WTKWVVmVsTY5a5PKgaR5Zz/tnUY7EwbXFpMrS4ubx04y3c0l7ko2nxDygbfO8sLT2jgq1ePJTUWG3XWMVpqeNumvYTaiXOTMnYwk6UamU1W7q2l3FZ2uIoo1rZ5i+8Em9YkN4Z4D+jLE+CE/WH7cfXtcBvd9lx/cs4OhoZWP7+u0H/nX67ZvOGE0ZN0KqFdjGrWQqh/jeXZn13ReTsmYLGjvxZXwuJpv3VTlre8f4sEU3AWNXa6tNEi1Q/Fll2AB6OSsUEgvPaYXpTSjkSLILQLP/1ov2qB/Qt6UY9G6sNoYJ0xL5g9f3PUqdRFmGpwS4y/S5IASCCcpVpYKhQnhG/aVxUCOyVQpblQvYv2KkL9++yy/+3646gdV4vS1lMETRo+FQy/R4K5Kp2aILHqqtEmVjWIjVWKl0Sh8X7JmieRnLxrgrHNWPzIxveTxbvMhKgPrj7trj8vg5isdHrnz+zun6urNr7hwK6ODMDQQMdLoMtLoMNToMFDtUvGjRKLEJcZWpkK+T9dX6UR4fgie5qqbE3DvDtAZc/cDt1MAt2vdHJEOjcrzpcv+7QxwGZgtyUKRpcsGaBnki/Gd9B2xwHq8kM8xfeBWHLvwHHngh8xbYr9HZEydF4OLPGeFInPnutwaUagsLZ4we5HJTbq0SrV44l2Juw4nLg/54O/NcOFpLWQUQRjnLJ5qcq0IdVIwnBqUOi9w6EWCdiiY6wgOtySHm5KZBZhvxuw/FNET23j8QPXN11x3907P/aHwPT6DA5y5ZQXtdptKpbL3nrv862ri3vOWjBxgfKRDvdrGdWLCyKPV8QkjB51W/Vg3u3ghb9QT4Qchu48Ibryzxrv+fpAHd6bg7hOdTAqGQZaYOzEqKXpNHFmWJIuNzHJ6acGvbbNwqr8zQ9QyMAuaW2Qngf3XPhEWgTwJ6eWBm/xxIaIp7McWmwvLbSisKKfN6lpkOluLEounJ4Y2TfSLRqlMCFxlTG7OO5W1bku95VII6Ak2nBDxobfN8qd/r/n+nVV2HQYC8uQTJYgRdDFZnpEWOMo0hCKRLd1YMNuDXhzjSxgKJDOtmGptkKmla6573qln7W13OjiV6n8c4ADVapVbb7/h4UpQ+1BUWXneXOdOwhnFjTf4KA0Xb2syOSgIIzc54kWPSbHzq5lyFgQhD+2VvPcTg1x+Q42Dsx7aL+ltWWbvvLLFFX2kCVYiFcXmPX3bHsNxtTjWfdknz0TYNH5cHfLkRHo/TW77wdMToxDKpwTsRS5E27tiDE47WxENQpmEqGRkGkhlXIhJkYNpfmU2VpY6YaUFDXRh/YqID79jhstv6PK+Tw7x0OMVk4yfx42JhENPCzyVt2FLgykLkWB6YpYXb5tHK7jx3irEilf81BYmxv0P3X7H9Q+f+rzzntC+fEIAB4i9ZYha4ya3Pv+lh3Zsf9VXr9/B3dvH8CUcONzkjS8RxLGLlAovvfQLjXSKwRvXCQmqPR7eK3n33w7xxavqdJRrJp3Z+dxCLjIo01bGvjA/3EnAXRg1UirZKnhJbPZGLwY5+T+28SigQMeLXrPe/6SgbLN3GczaZvWkztFibp3+2NxHmHyWJV2kLrF4qsvz2lk7cKSQpgOEUonmNiAXScG5EJC3iLCNWZmMFDQA1j3B1HDEL760ReBr3v03I2zfg6kMSty6Sgt6Spq+n9rMxkxb5o07il++UPHqc3xcN+K8LUeYjbZw/lkbvjS5dNlNMPeEd/ETBvjpW1bSnNm7c+NPnfu7b3/3HU6nFb3i9NWKRs3BVXV27AkZboTUKj1cRyUeorRRZozjhAbcQcj2vZJ3/d0QX7x6gI70EoOyXKhg6W1R1Nt+IklkCdxZRhrHKk5YzNxYfwupJaX7i2QLpff0Q/+TwbotP4TVPrnPCdA/XyVpvpQmYwm96D1ZWq2wfOnpOZLktKBMf0Ub5GaWjiGPnMmTzxd5u7lU6kgp0W2J54W85sI2KHjX3w3zyD5t2CkpQ4qFJEwMZSlMQUo90KwYAN0d47rbHerViBVLQk6Znr58Jrrod2e2H9q1Yd36H7o/nzTAAerDS7j+hh/suuyl59y9eVn4ioWZR5HSQWuHuaYg8DWBFwEJmyaN6V0nwnNCgmqXHQckf/q3Q3zhqgG60jNFwljSRKbsbSokbY+IJ/KsQFfY0kNn8kOS3y+7/gqRSPp4Uyh5T0r6PEVwWc6UV9n78sPR3f/NWUW6pqDHscBs2Dw1PIuSJM0WTLV6rs9T/V0sojDfmbSfwLRjtuWmiqU1MjCZe5k24hfKaHidgF0KdCjw3IjXXtRGCM0f//UIOw4IqBiAKyEJpWNG5WBKams+NKqC3ftg1z5NL1RsO3kdL19/wd295g92bdh85pOB7JMDOMApm5ZQqS9/74rhO9dsf/ihn7vn4S7zzWEakTAlSwm4TbfXCNcJ8dweWva48W6Xv/nXBp//9qDJ53bTXt3FVNe0WCEFsg3slLlTnV2snSx3YS1KkRz4usjcFr6OFapP3yT6POgL9H7s3gfXx4pkFlq6ifz92f+zgJwCPR3tYbdqKH9OIZcllSrCel/yj+0ZNHZlUhih8tnzWigT3Bdp33C701mc3XddwWUv6qLjGT76rw1uewi6kQDhEMaSriSpBDIptZ4jqARwtN3iYDTMYbX8c6tWnfreex/e82Th+sPdhOXVGFlBNPt/Z5etn/jVr/xg/PpPf0uy/1CEBjzHRDM9z/Tn9ryQIOgSyR6f+lqFV/3+BJ+7aoie44MXgAzA8cnbGptRfq407R2qMu1ApZPswGK7tWJPkz6dtaCvzi7Lk4JB2QendsMfjgV+yrN5joH4EoBtoNvALSCaFMiWFOkD+DTgsyi/peRVyZ6zgkKZ6xBRSNQqJGspWbjFyiGKHeI4CeHHDpFyiGKXKPLMLfbp9QJE6POaF3X58vsO8cuXzlCnDWGHWIU0Y9OxqhdDlJylU2OSN728xRsv0dfPsvpX3/2xK2a3bFz2pAH+pBkcoDrxem646fbWKy99VW/vvn+jUWsxNBAxONCjUetSq3SoBG3qtTY9unz6qxX+6GMjzDSrSd8Sz2LuImOnJWYueXlZlk+CXiQrUiOynLu9yLi0wNkPzP1OgEX5KTaALUlz7LTCJ7BseWLdXxSCt7R4UaroYxirogBu2/WodJLNbLkKBclMeWWq/m3DVYm07EwnniydPRYimY2ZBImkViihTPeAJAIqZYzSEldKRmoRf/7rc7hC86mvQLMN3argqHCRHQdPKuoVxcycptmZCE/d9pJ7tolma+2Glz0VqD41gAOcuGYNWqsfvPZlp5/dOXJ1dcXUUSZGFhiotqlWO/hej0cPxVx+fZW/+NQoM60a+AlTZ11eZaax8ykLpjjVzh1JS/4WtctLJEhZc5cNzCLr6kW53rk+t8Ba9qwch8HLeluU7jxRm1OXHugy+C2wF04CElmSRTqLJ0b62G5Zk2p3YZ882pBCVvNpbZtINsjkbycSL02iQ1stneWipDqRJGzFjkusIgYrPd79awsEruby62MePqBo9SqEkUsnEnS1plbzCb3nP7Br99HfWr1q6qnC9KkDfGJskG63/YcXvPAc/aUv3/17371/V6XdC1GRZuuJEbVA8/7PDnP1nQ26um7A7bjIZC5OAdiiPN1M96+osYFpgbVsEKavlQG46D2idABLcqYQ1IH+rG+fEGXpY7/bulsAro1ui2UzEKeuQYGl2e0Wef3eYwWCyidC4bPJSmYt7Fv38quASOIbpNtl2zdCJ7Msk57kwlT4CymzFI1YamSsEpC71P0e//PNTS4+u8v7P9uj4ks2rTMF7Idmapy5dXnnrHMuubxaqemBgdqPHuAAQVBVv/Huf3/XaH1pOOLt/4OPfWXW33PA4ZyT9hJFiutuH0L7A8iggiMlXpIYlRch6MJ919LQMqEbE0uwwNoHGIv82DaDl4zJAjit5xexsCh+ng3U7AAnPybT3tr6gU+EtS0DL6tx6CNTsreX/OA2mLO9lMqW5Mcb4IviZ6eMnkY+SY3T5IcnZ6AQZpBVvk+KJrFINjoFuUxjH1In/cntIWXJfamy6He14vCS01rUgqOEocPZG2vs2Ku45p6VvZ++cOh947Wv/C9R+5XjZgv+sPUfAjjA375te4+Bynt+cMNE79773T8LTu7Ii852uPHemJsfrhKKKgO+pOKYiQ32cYRcT5e9IKmG7oOJ4lEvaWpzK/2/EpEWWDd7LBZ9ToHhbUOTxX+xP/eHPGdvS/lzCqDOQvGUgF+0UPMwfu5Dz4Bvp+Dm2C18l5HjqQgxjJEGhArfoyX9jkhOJIk00Tqr1C+PvUmljevEaO3Q7WluudvhhrvGuXvrIJNjdXVgYfWfvf3jy98/Up3rPVEcHmv9hwEuGm/jyiuvbDtu5UuvevHj73Y73+ak9Yrv3hcg3QrjnmAwULgyd2XFKrHayS9zUtj5I3qReyd3X5UFSBEgx/ydUGTsspyw5UumuXOE20Te98pgf26/aNAPWTpjVTIWztm9HI63ckmSHJus4t76vEzy9NuX9i8Tpdd0sg06f2/eiyU/GQr7NyEnleYiydwQtUerqCR/xZGKOHapVhSRVlx3b41DR11++w2n65953glfajbb7XPPf+VTA6W1/sMABzhx7QmsWrPioe9c778lbG39m/t27ZF3PDhI3XFYPhQTuGZPRQp6kcn3jVTuY03B7Yi8o2sBPDqfuCWSlEosd1l6YPpc5UvHbzH/iH5P9AF9DuA+hmgfOVO4UhxnlT0ctmFYlhQF9tWLny+4GUWfrS2x9zF3ROl326m1eY65tf9T9hbJHHmpcLTOop0KiGNJL3QJI4coNm6ahXbM0nHN5jVNNq5u8UuvOFmdcerSt8z0znhoKHj4KaKxuJ4WgK9eu5F/+9Ydvc/uPPMf/uSk+2q7W+s+UJNHWDUiWDJqqkqiCDqhptXVxNo0NU+bkLrJpIV8ikIOkDyXgiwyB8ng3X4HCnLLqc8qM3F2gMoGZ+n9NpAzyVL6kMIo7/72pQWa/L/a97PXsQArbEDnGrtodGqLcZPIpi5+nz7WCadTndznt9r7X9nptDnwUxkipcbRyiRiaQWOSnS+GZDQ6bm02h7tnkMUGcmnYpeFec2GFcs5Oj/831auO/8fVvK9WIiznw5oPj0AB/iZi0/h0OE9cWPgVdsfObx8fnzwqsbKkTYD9YB2RzPfimh3NZHStOdN72dXJt6TdIxINjK8eMBVImki01OoAO7MDVwClO7DVsfSyAXA9xXX5BTdz1tSOjP6XhV+2LL0dlZwbD+3SKYUgzYZY9vNgfrq9/77wN7OVDam/UuEFURSysyzN2AX1mck05UdgeuoRI+n80ZjpIAjsw5H5nxaHclcU9LuaHbuEaxduYp3/NoL50enz9q+b/+eeMn00wNueBoBDuC4Vfbt61x+7hln/NZkw/ngvp1XjsbhDDfdXyOMHEYagqGhiF0LHQ7NBIxWJH4ycNV1SCYqp+2K84NnpmoZo0eVWElZ91PdrkUJ5H3ccn09JthMbeec9MkWLBioRZbP9Dsc38hMnB15CN1idUyrpayPti6CNe94Za5WedsInf3/7Husf8vbX7Qr8gb5+X4xtZJAMqpGEEWSKE6n7iXvTQrO3eSsE8J0w3KkolFrcWBW88CuBq22SzXQzLd63HhPl+mJIbaddcmR1WtPf2u72b681vjhOd5PZj3pUP3x1sjQCCtXLmFkUH/mrLPPevs555x2cN3qHvfuadGLYNmUy2tf1OVtl+1nqNGk1UsKF6QBd+CazlmBB4EnqCS3IOlt70idATdtL6BUarQmrQfI+5anoEkPr60Z7YObPlgE8rIWz26l4a9WMUQObZ4Qc9teoYKGTiUJOaOn222/x87/5hj/39qq/u7QbMpDOqson7Bhd0TQCOJYEkaSbijpdB06PXPrprfQIQyNzlZKUPFjZlttPvivPp+/Gh7bH+N7mjUrZ5hzGpx13vkHT33+WW8/uqA+MzQ2Sb0+ytO5nlYGT5fjDbPr8YVPCv9lctfsgb/ote+YqA4KxocVS8Y6hKJHoxITNtNedDrpeWjmLWatB0UC5NiwVJSUZ8U6qdlLM+ZIcu+lgYljGVj9vAjW8S7lfC+WOpSA2y/Nti+7Cxvqi5FeNorLmrxQebNIpqSuv1JAp2B052zef9utuUnJ75XJQNXMvZdcOVJPiBCaWAm6oUO3Z4Ce/m5Ti6vxVHKQhOlMC4KFDuzY57LvqGDFWEiz7TI9KXnLz5148Bd+5oXvBPVJIYaeCSgWJzw8nesD7/9zxlavv23/Ue9g3XXOXz7WrJ66oUVj4Agfv8Ll2jtGWTIoGKxoaj5UfAxb+wLfk/ieSG4SN5ks2ulBsydohoJOLAmVmQaQD27KEZcya7GiRxT7okA2AjAPMKV98uy5O4nhm8zcEdnYQLLH6fhAkXxPxvSFx/lz5ZOh6HNPXipJJTtmUEwsE4uuMNmUitIsoHwuEotmJTmO1Q3ByUc6pu9XStLp+sw1PRbaLp0E5FFsRv2lBqiRTUlOi9Csmu4S6i5X31kn7DoMBLBl/fIjF5wZvCNs3/HJysALnikYPnMAB/j2FV/i137x5+9cs7yx+6R17Rcfmn0w+OzVcMUPhqk6VaYaikZVUw1Mo8XAlwR+Ik0Ch4rvEPgO1UDieYJmN+ahg4IjXYd20mNDZe7CYs+SLD+8JC9sgKdXCSmssSIp4NPXslElFuCTEyADr0xBnJxAUhRBjbDGjOTavG/gSCy+39dH3+eWbUcGZJuZc6ZNfdYFcEudgdtxzAACN8nld52YWiXE82L2HKqw91CVuaZDtycIQ0EUG+milZlCnLsQzY91HVizpMnIUIud+2Iaw+vmV69Y/VtHZwY/u+mUX9JPCExPcT0jEsVel547p0am/M/ddttEtPuhkz5V8e6rCFFhuqEZHdDUAkHgCjxX4CXM7bkyu7nJNO5aoLn4zKOsuGuBb946wM4DNYTv4UhJRQoqacweUzupEiu+oEn7rGO6BC0wldnVHn5aZtlCxmH6qdYT6SW98HPSnBByw1mKovamJFsUyVw0O1JJH5ujEBZNDcDcoExbWQupTAqyzHvbuI7pWVMJQh4/GPPNW6t856Yhlo9EVALHHDNX4roCzzV2k+8JIqUII0EYSqJI4DoNBupd5mcVP/fiEzuz4fSbvnLbwBeHa63/UBj+iaxnlMEB3vvBL+MOv0F/97aT718y1by3Ffo//fjupnvCmMPooGSg6uB5hqEDXxrmDlyqFUmtImjUBMMNzZLxiA0rO1x61hHWL5/hmlsdWi0HJU3pk0AkyVopi1qsZmnMghQRFNhZlO+nbJ0xefpYWK/3Z/ICe9snSeG1oiSh9LhwQpXZmvLVSSzexnQUorQ6Rcl0ynRa5me0c8raBtgK141w3ZB6tct8q8M7/rbOp78xTbtdwROmiU+sLCM/YW+SnPIokrR7kk7PoReZbvmDo6s6y6ZX/OIvvu7kf9s2fTB+zc++9pmG3zMPcICrr/wcr/+VM/TUGfX7O3saD6wYC14WyKY3PuIx0nDo9UwErFoxLZlrFUGtArWqplFTDNVjhhs96tUeo42QZeMtHtiluPcRHxyJxkEJUSyAoDhb0rEu14V+4bbOToFs3c/Bnb4mMj2e6t+iXCmCu+wrz2dJ0tfLshjcfU6MksYvyy8b6FmufDYLNJEkwu4jWWza5LoxrhPjeSG1SocrbnL5h8snONIdZqwKfhKGN40zNUrpLFYhhGHzKNbsPaSZa8JC06E+tLa1asWyXz757Ie/eP/t82r9Kb/6o4De0+smPN76vTf9KnM3C71x+fznN69f/qaN61fOrl2uWb/qMO2wg9aCekUyWBcM1g2wB6qKejVmoBpTq0S4jqIbScYGJS85ow2qByoEHZs0gCRCGmeRtqI3ZTGaFoOrv1uwzJA5wPKrw7HBvSj0nf4e2w2YRgxV0R2oSrdiv5M8NyX7XG1OCX2sjbSfLk27E1YPG8cx5YZSRnz9+xX2zAZ4riCModUTNLuaVkfRbMcstGMWWhELrZBWx2QLVasd7n9slh17Q2qDS2adYPmb/vrTc5+/63tn6FNO+50fFex+dAAH+LU3vo6Fzjgb14798+ZNG/7rBeduOXzPngH2HNbUqw6jgzA2FDPciBmoxdQqMbUgplKJCPwQzzX9DNGglQaS4aBJH+pIkQA870NdiAraxzfzVPRjxmOwJOIYwBeL/m/ZjWgHfxb5vTkGyFXZBy4KwNeLbqLPc0W/uPkpeTUOwvak2K32TEcEMyjMbESkNd1Y0Amh04N2T9PuapptxVwz4uhczNG5kIWWZmKox4vO8lmz8bTDJ5yw9r+2e9V/fsXFS3jBBZf9KCH3zBuZ5fX61/+8Obh636fBcZ+/a/o9ceuGiXVLFlizvEcliGm1febbLlJoAj8m8NP5P8aid5wYz7O8yFqDVsTaIdQCV5cmCej8+BaMStsdZ0sJyh6LxexdHttdPjGwv8syPDPfdCkxJP1t2RSQQj9AIzGSzUxGUKa9tU1PkfJ22lHNzKFtPTIepnyko0h7R1qBnTSfJ4rM2RYpRTty6ESCIMT0hRdGjix0oNmJCHzBXFMxNjrJheeffTAYPecPtI4+vf6EpzeA80TXjxzg2U4W08zNtz7x4hdeKNYuCf7igfu/MjHf3UcvFsy3xhHaQzga11VUvIiK3yPwu/hej24c89jBdL50evBMlmGozbxSt8+l3a5cyQ9yP1ecODZjk/vDbXAXfd0pkMRiaZSxt/1KLjFSZ5DpTWI2MRs1Iky6sLBOXLLXRD4UNm3MUwoE2V9nj1XPp9ulYDdnVVrAvGIipOL06EQh865DNZQETkzFS+0bQaMRgd9B6wh/YILl6y44uHHzOe/UWn/C8wefLZg9ewAHGGzU0Hr+HzafvC3acTj6wDevunpkJDhAvRbjapdVSyM8V1EJQgZqHUaHm1SqLe7fqfm3a2uA1UbZHBIilfa904lUEbhljSIWs/ZinzIF4GZ+bjvjUdpsnj+G4pWgb6TRsg9EkpQidMLOCFDmO3SSVozETCeWRRYXWltsbp6TGrL+JFnOirX5Imdvu197NvWOJBdGm1bJP3N+my9e3eLBRzy6PcmRQZ/AkdTjGEfCymkX5fUYqnts2zzJ2k3nHx2fPO0dh2biT01P1J9NiD27ADc7u8Geg9FnNq1/wZEHH5hZu3n1wvuuvv4az0exYaWiVgkZbjSRzixfvVHRiV2+c3PAXdur4HumiBkncRIrlJR0tcBVIqnQ11mOSsbe/TR3FijKvSNZcKb0vBQy97ZYAaAie5t/jgluTQa8gkZPwJf1+rOak6SqIQX2Iq1NuU0yeWFEkm1SqIjP+rfnnX+FSBpwKonCodf1OGltl//280e55uYurSjgm3eOcbA1QN2X9CIYrAvwItasfUF44qrq72/edPZ24fhfFeLpTZx6Svh6tn9AuuaP3sfA8IR/820P/sptdz7yUdG8U5wwfVSuWdrkkX2zfOIbPjfcXiPq9Jidi2g5FQjqICumK5ZSoCOzSdLBcxwarqbhaqqupuppAgd814yq8xzw3DzvxZEi/+skLsLssUhC98nf5LFj+cZt1rdXytS54ZjMpEnSIm0JYRut9snjSLK/jpN0H5Aa6VgpxtJo4tSvbfr8KVxHJ9M3FL6r8LyIwIvx/YjACwn8EN8L8dzQ9GmHpMG9RAqF53WpVVv03JCZWZ+wHXD17RU+9rVxdu0eZu1kyNY1g+rVl27V41Nr3jITbvxHXxzonfX8zc82pIDnAIOnqzGyiWu+93DP9VZ+ZvlS/zsyPPyax/YH/5/mQb51xwDfv3sMrR2qjcNcePoCX7s1YLYbUPMdQNDuKqTqIInpxj4RVTrCoSrJjM2Ujvv5u7NclQJY+/iZpbCCPjkACwC3opKZx6PA5joDu9aLpVM29YO8gAHy6KbSOZuXvS9mVDcm1VYIlCCfsGblEuZBnhjPDan4HRAhaEkvqtHtBWg0DUdzeLbH12+vc+aJAp8Jzlqv2LG3w9c6bS48awmN0aV/snL5iZ9fs2bZ7mbrcG9g9LkBbngOARzggrPWAbSv/NY/PvhId+Q9Z2wa9a+5xf/Dex484Jy9TtDpwrnbBjljc5Obt2vCIw4r6kY/MtbilefsY/lEyLv+cYT984KerBEW8WNF9vL7acBHyJJ0oeQutCKZ0mZVmX9W5ve2Q+cld1/G5ErnJx/pyaEzDw0kAavktdTQFAKkXWFfcBNqk7ctQCiNEmYGjpPmiehcQ8kkHF/xOxxtdvmfnxpgesLh5We6eAziOIrA0+ybC/nov6zg1nU+55wU0Gxrzly/0F29fGx+rr3poz/9S0Pv+cG3d8ZrNz99hQpP13pOATxdL774V3jwzs/H609+zZ/ufvygt2Lqm69uzd684us3qupEI6Ab1nBdh7EarBhRjA87/OyL4PRNVYYHewTeYX7nwx7tKCD0nCz/I2tTkVzqC1mDMg/apCrD1ud5NmKebOUWPocsYpj+f5WwKhjDMBbp82Y0RwryAolLsul7GivUnNoA2nQwLvrOrfn1mXvRsLUQIGKIHVOsoHSarWMMzMCL6MU9/vDjQ3zxO0uo1QPuuE9z2XkVJoZDKp6i2+shXY/9h6t0o5i7HhvGqZ98zaplN73yzkca6quf7ca/9ebXPduw6buekwAHWH/yazhwaA7pOH80UA/+eMuml31kx74fbJ2cmD8zjNpu1RthdBiWT7osm/RptcfYc8jFceDi5x/lvK0LfP3WQWLl5gc0AaLriGQuutHXhakPWd6HoOBtyXzhItfnjqWJHX0MgAuIE/aNSRhWE8eKODb5HLlMEXlIXQscbTzjKYPHyW/Ixk+yOCqqtDAtjrUxFNFmxo2MBK5MqtqTr5NS4Xsh37nD4aqbR/ErNVYPaepS8MBOh1bHoRo00E4LHbVw/clIy4EbX/vql6g1K1ffAq/tvPCSZyaP++laz1mAA0yOD0LiJdt5/5d+802vO7XR6R76+xtvV69tBC25bBBOPMFjtGHe32z7tNoVpsYdLrugyddvilCJik3B7TkC3wHfFbiOMF2bsUIhffNDbHDnVwDHSSqNHJ0Ye3kT0LTuNorNh6rYgFRriJUmjjVhZGpUs7IvYUZ5OFIYBndSBS4zPZ0ye78syRTocdbjJJ1DmbTIczReUmmTfp/nRnzhmgoHmxWmBmGgYi4Bew+GtDouUgRsWjfGz140oaR30hc67uiv33L74/Nnn3bqsw2PJ7Se0wC318qNr+LB7Q/MN8Y3/c7kinUPn7Ptrq0bls2/qrlwHzsOBEw0qowNOUhHUK0qHDSEBjlCmKp9zzElcX5SWOE6ho1zTVw0BLGAYkcwnexKYDwXrguuq5POAEmjeAy4oth8h9LGpaa0JkqGnPbCPCMvvVI40gxWMOBOpUQiZ6QVrk/2SznJCp2X8mkNMjbSRGtzZfA9M+A1rdCRXmzsgDZQNwUmY8MOgwMtHnpMsWz5VgZHKl9642tOulsEy/5Kx535yamNzzYcnvD6sQE4wPq1GwAOHdy/54+3bdm6Mm7fzjU3Dbzq2jsfgjBkwwkxh+e6XHevZNfBmBXTLQ61aoiaacmcAjstrvBcYzjGsWm0HitFrFJGFxlQc+9GkcGNCy5xO3rGJZe66lK2jmKJK00FertrDL1eqGh3Nd3QMHle9gWOI3AdnTVGgsRfrXSWkmoXH5sri3ENSoxBGceCbs/Mn5TC1LuqZHKD7yqiwBQM+17Mrn2wYiri9Zcc5PZHpwgjj3pFcdrWQU469UQqAyd/ae2WTW89PLOwc+X48qdy2J7V9WMF8HRNTC0lDvfslKPr3zH9eOUzb3z91t+dO7z9/Ebt+3zoi/Do3uW87bWHeOvPzfO//mkQdAXfE1R8qAaSWtWhEjj4nvFl90Kjh5uhJooN0BDgFNoiiCxF1kn6uLgOeB74nsJ3dTbx2XUUjmOccrESdLrGldlsS6JY0Wwr5luKTs8wOMlnelIYMLpYnhUTRo+lwNF29Xx6ZTEnlO9qHMfkjbR7Ds22pheak9H3DOiFAC8JtUsh6PRiPvAvI+w4UOdtr+5x7859XH79iZx08imcvG3dtdWa81cdZ/2dB+bCnWtO+PEDN/yYAhzA8ZYCPKy1fhi4+5ab1ZLVyyf/bstDO9YNeNud4aoHk4eo+iacXPWgFkjqVYd6zaFedagGEHgmvH9kTnFozsiMim+YWjkatLTkSTHgYthbE3iawFMEfozvmanPvmuG4woBYeQQ+BWa7YBWR3FwVnFkwcyEFEm01XQT0Ph2W7uMnSFWKvdnpxU+JI2THG1GqwdmlHqrI9l/WBDH4HuSSiCJYweNxJEO1cAljgWtnuChPYPMHRnmge0+pz9/dTy+6qSHlwzK31i74ay9wIPFNnQ/fuvHFuDpSg7Ag1rvfjCK4pe86AXjy4ZefO4X5vZ9a/DwvtvrFQdqrqZeFQwNODQGXAaq0uSc1xUD1YglYy1qjTlu+fIgMvSZGjKAM5+/OG9FyqQbl2NYO/BigiCm6sdUgoha0KNWNYMAojhk72GXLWsCwrjGv3+/wu27JZOTHfbPOnRjj4YvGfI19Riqvs7C7alsiWOBcoqtIlRyXwhjC1SDmMmRDrGY5/9e4/LA9kGWjghqFcFA1czbiZUDWlLxHTpdjxiPiZE6W1evb55/8YVzvt+7bGjF9ONCODt/3IGdrh97gKdLiBVorXeeefrK3bOz3S0rl82cNTVz6sd+9dDu6K47t48OB7ONpROSWEGtEjMxohgf7tKod5kYajI6NssVt0juvm+UwSoMVJO8EyfNGMxzvM0MorTdhSLwFFU/phqE1Ko9BustXHeBex5T/PO3B9mz3+cXLmoxNdphLh7h/OdHvOGiBXYfUPzz1QH37RqlF1XQqTsl6SzlJDLIVcV02LSBqfFrm3ySShAzONDk1kcW+PZdY8Q9hzBWDFYV44OpTaBotiX1qofwls4PTp555Dd+cZN7dN5/85rVq79XqdVmY4VynZ8McMNPEMAhY3Ol1QNHEVPfqHSb6//sQ3/ZvfnLH3j79gdue4MIHwhvuru7cWlDV8aH9zFQX2BsqIWQgmE/4EUnN7lne4Nu5CKlyVXxPVP8LIUpstBJdbCTNivyFZUgouJHBEFINegyOLDAB78o+MSVy3HjOhunBUeOxAwOHKbuSqYqI8homItOmeWiU4/wf67q8IHPr8B1PTP6HBLvicBzQHkG3WnNp9YQRuZk81zjJQm8mDDucM0dPjMLA7heyGMLMROY2TdTE3XWrvQ72/dW7p864URv3SnbPnP3d3/+f49u/EQwMDjUeWDXQfW8Taue7UP4tK+fKICnS8gNYPznrYe278Rx3Pe5rvO+SGxxTj994KOrppvrDx259dxv3LrTmRjqMt+sMFEb4MwNR/nccIjoeFQDyUDNZaDuIAW0O4puBNKxXW6KWiWiXg3xvQjPialXInbsi/j6zZMQ1ti4VLNhhcfyCYHWDgLBY/td7t9hBm5tWKm45PmH+Jfr59h7aJyGa0LzKsn8813TVkMk08cCz7Sxa3UUHWF83LXANODZPwvX3znES7Yqli1t0lNdVq2oMdNcF29ateX6U9fXH9x4dOEtcwsqdtwqW875vB6bOKH1bB+vZ3L9RALcXieuXQm52ziamTv4675XHZmc2/rnB+e+4n/v9n1xszO4rbbKf/58+wHa7Q5DjsdIo8bUmGCobkKQd26PmJ+XLBn3UFXjcqsEEaODLSZGFggjyVyrgkay94jL/kNVpuow1hCMDDrUqz0iGRMraPZijsy5HDrqMzFcY+mox9LRiIMHTTHwoaaiGwumBwWBp2loE2QKfMH0WMxcu8eufRqtBM2WROCyZEzh10KmxxtcdOZSTlk/f8ueQ7O3RsGJzi+84GW9ydHJ/9HpdY6e3Bh/tg/Jj3T9xAO8vIYHJwCOAv8F4IpvXIPSnD9cj188OrTkste+PNzgxzEj/qNMDs+x76BkcGCex46EzM8OMjXqEUZGDw9UQ6Q3xw33RUg1QNUfSHzeHQJfMFDRNOouAzVBxVe0lUIpTRRqFlqKuabDQssnqPhIXMbrmhXjsLYWETtNHthZY77rMynAdcwE4emxBeTsYfYerjM5VGXvrMD1fYYmz2R0LORVLx17YOvKkS9MTPpXji3R12486XzgR1fk+1xb/+kAXl6XvuQCgGtbrYPXCk667g3jam1rfkbtuG+vmpwYWF0fX/cHUWc7G9dHPLazyZqlB9hzyGGhWaFWaXL17Zp//sYU66YCNq/yCTxodVt4UjNQlQwNuAxUTZg8tSHjGFrtmJkFh4W2y7ByqPoeS4dg6yqXzWsc1q5o8elvz/P9O4YQOMSqzd3bFadsaLB69RjP21rjeVvWcsv9e97Tmpl79IS158iJiSF52QneduAbS8fHnu1d+5xY/+kBnq5abQLgG+njmaOHcNxgeH5m7427d2nWruyF55w6+XubV89fsnufJPA95ueu5Lt319i6cpjlkxH7ZjwePyjoKIc4DKkFMUvGetQqIQeOAD5oFdOoKo7MR+jHFcsnNNPjETU3YmTKZ/1qj/1z4B9YysvOOEC3N8wrX3wejQHN44c0S1b536wFez+wZUPV27L5ZF720pdc2+l0ZyYnJ57tXficXP8/wI+xhkfGAWaALwMcPLgfEPcPVBemasNCSQE333wjrY7k1A0eI0OKRx8Pww2bznzXodm9L3/h2VG4aVmd0zb30HqBA0dGGRld4JzTXZYOVjg410bFHqNTHoOjU1xw5oDnOUu+MiBuftcj+z3PPVzjzOmAE5bWOemkzQzUJCe0kEP1YD+c8ugvbZt+tnfRj8X6yXF4PgfWjoduRAgxtfPxHUPX3tbV65bUOGV9h244x+59k0xOtPn+fZIVIxUeOzJPt+NzylqfNcuOcuvDA6IxsHoW9P6fuuSZ67b6n239P1/YReq0nJ8KAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE4OjE3OjUzKzAwOjAw3rbHwgAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxODoxNzo1MyswMDowMK/rf34AAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 59238325
{'hecke_orbit_code': 58546932661880134, 'n': 1, 'trace_an': 2}
-
id: 59238326
{'hecke_orbit_code': 58546932661880134, 'n': 2, 'trace_an': 0}
-
id: 59238327
{'hecke_orbit_code': 58546932661880134, 'n': 3, 'trace_an': 0}
-
id: 59238328
{'hecke_orbit_code': 58546932661880134, 'n': 4, 'trace_an': -8}
-
id: 59238329
{'hecke_orbit_code': 58546932661880134, 'n': 5, 'trace_an': 0}
-
id: 59238330
{'hecke_orbit_code': 58546932661880134, 'n': 6, 'trace_an': 0}
-
id: 59238331
{'hecke_orbit_code': 58546932661880134, 'n': 7, 'trace_an': 0}
-
id: 59238332
{'hecke_orbit_code': 58546932661880134, 'n': 8, 'trace_an': 0}
-
id: 59238333
{'hecke_orbit_code': 58546932661880134, 'n': 9, 'trace_an': 0}
-
id: 59238334
{'hecke_orbit_code': 58546932661880134, 'n': 10, 'trace_an': 0}
-
id: 59238335
{'hecke_orbit_code': 58546932661880134, 'n': 11, 'trace_an': 36}
-
id: 59238336
{'hecke_orbit_code': 58546932661880134, 'n': 12, 'trace_an': 0}
-
id: 59238337
{'hecke_orbit_code': 58546932661880134, 'n': 13, 'trace_an': 0}
-
id: 59238338
{'hecke_orbit_code': 58546932661880134, 'n': 14, 'trace_an': -32}
-
id: 59238339
{'hecke_orbit_code': 58546932661880134, 'n': 15, 'trace_an': 0}
-
id: 59238340
{'hecke_orbit_code': 58546932661880134, 'n': 16, 'trace_an': 32}
-
id: 59238341
{'hecke_orbit_code': 58546932661880134, 'n': 17, 'trace_an': 0}
-
id: 59238342
{'hecke_orbit_code': 58546932661880134, 'n': 18, 'trace_an': 0}
-
id: 59238343
{'hecke_orbit_code': 58546932661880134, 'n': 19, 'trace_an': -46}
-
id: 59238344
{'hecke_orbit_code': 58546932661880134, 'n': 20, 'trace_an': 0}
-
id: 59238345
{'hecke_orbit_code': 58546932661880134, 'n': 21, 'trace_an': 0}
-
id: 59238346
{'hecke_orbit_code': 58546932661880134, 'n': 22, 'trace_an': 0}
-
id: 59238347
{'hecke_orbit_code': 58546932661880134, 'n': 23, 'trace_an': 0}
-
id: 59238348
{'hecke_orbit_code': 58546932661880134, 'n': 24, 'trace_an': 0}
-
id: 59238349
{'hecke_orbit_code': 58546932661880134, 'n': 25, 'trace_an': 0}
-
id: 59238350
{'hecke_orbit_code': 58546932661880134, 'n': 26, 'trace_an': 32}
-
id: 59238351
{'hecke_orbit_code': 58546932661880134, 'n': 27, 'trace_an': 0}
-
id: 59238352
{'hecke_orbit_code': 58546932661880134, 'n': 28, 'trace_an': 0}
-
id: 59238353
{'hecke_orbit_code': 58546932661880134, 'n': 29, 'trace_an': -312}
-
id: 59238354
{'hecke_orbit_code': 58546932661880134, 'n': 30, 'trace_an': 0}
-
id: 59238355
{'hecke_orbit_code': 58546932661880134, 'n': 31, 'trace_an': -170}
-
id: 59238356
{'hecke_orbit_code': 58546932661880134, 'n': 32, 'trace_an': 0}
-
id: 59238357
{'hecke_orbit_code': 58546932661880134, 'n': 33, 'trace_an': 0}
-
id: 59238358
{'hecke_orbit_code': 58546932661880134, 'n': 34, 'trace_an': -60}
-
id: 59238359
{'hecke_orbit_code': 58546932661880134, 'n': 35, 'trace_an': 0}
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