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mf_newforms • Show schema
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{'Nk2': 3420, 'analytic_conductor': 6.827209372819473, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 45, 'char_orbit_label': 'bs', 'char_order': 9, 'char_parity': 1, 'char_values': [855, 9, [191, 172, 496], [9, 9, 5]], 'cm_discs': [], 'conrey_index': 226, 'conrey_indexes': [226, 271, 541, 586, 631, 766], 'dim': 18, 'field_disc': -2489053622129078421979467, 'field_disc_factorization': [[-1, 1], [3, 27], [571321, 2]], 'field_poly': [1, 0, 15, -16, 198, -132, 437, -138, 582, -156, 438, -93, 231, -51, 72, -14, 15, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 6, 30, 84, 0, -270, 397, 591, 18, -1130, 804, -354, 268, -66, 33, -19, 6, -3, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9010222945272663, 'hecke_ring_generator_nbound': 4, '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, 19, 5, 1, 9, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '855.2.bs.c', 'level': 855, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 19], 'level_radical': 285, 'minimal_twist': '95.2.k.a', 'prim_orbit_index': 5, 'qexp_display': 'q+(\\beta _{4}-\\beta _{15})q^{2}+(\\beta _{5}+\\beta _{7}+\\beta _{9}+\\beta _{10}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '855.2.bs', 'trace_display': [3, 0, 0, 0], 'trace_hash': 398780883594751852, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.051', 'prec': 17}, {'__RealLiteral__': 0, 'data': '16.601', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4.621', 'prec': 17}, {'__RealLiteral__': 0, 'data': '858.501', 'prec': 24}, {'__RealLiteral__': 0, 'data': '777.992', 'prec': 24}, {'__RealLiteral__': 0, 'data': '74524.474', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, 'traces': [18, 3, 0, -3, 0, 0, 0, 6, 0, -3, 0, 0, -3, 12, 0, -3, -24, 0, 0, -12, 0, 9, 9, 0, 0, -3, 0, -12, -15, 0, -18, -15, 0, -12, 0, 0, 36, 33, 0, -6, 30, 0, -36, -42, 0, 9, -21, 0, 9, 6, 0, -39, 12, 0, 3, 0, 0, 12, -18, 0, -30, 24, 0, 36, 9, 0, 0, -51, 0, 33, 12, 0, 24, 15, 0, -33, 60, 0, -51, -15, 0, -15, 0, 0, 24, -63, 0, -27, 54, 0, 30, 42, 0, 30, -15, 0, 27, 3, 0, -3, -12, 0, -42, 15, 0, 15, 45, 0, 6, 0, 0, 30, -30, 0, -24, 69, 0, 48, -12, 0, -21, -42, 0, 87, 9, 0, 18, -9, 0, -15, 12, 0, 51, -6, 0, -42, 12, 0, 18, -15, 0, 24, -9, 0, -9, 93, 0, -9, -36, 0, 90, -108, 0, 57, -21, 0, -90, -9, 0, -3, 0, 0, 27, -27, 0, -36, 48, 0, -27, 48, 0, -126, -78, 0, 9, -108, 0, 33, 9, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, -1, 0, 1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, -2, 0, -1, -2, 1, 1, 1, -1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 2, 0, -1, 1, 2, -1, -1, 0, 0, 1, -1, -2, -1, 2, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, -1, -2, -1, 1, -1, -2, -2, -1, -1, 1, 0, 1, 0, 0, 0, 0, 0], [1, 0, 2, 0, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, -1, 0, 0, 1, 0, -2, 1, 1, 1, -1, 0, 1, -1, 0, 1], [-1, -1, 0, -1, -1, 0, 0, -1, -1, 0, 1, -1, 0, -1, 0, 1, 1, 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-156, 438, -93, 231, -51, 72, -14, 15, -3, 1], 'hecke_orbit_code': 9010222945272663, 'hecke_ring_character_values': [[191, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [172, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [496, [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2269131592089, 6807394776267, 6807394776267, 6807394776267, 6807394776267, 358283935593, 2269131592089, 6807394776267, 6807394776267, 2269131592089, 2269131592089, 6807394776267, 6807394776267, 6807394776267, 6807394776267, 6807394776267], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, -1, 1, -1, 1, 0, 1, 1, 0, -1, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 1, -2, 2, 0, 3, 0, 3, -3, 0, -5, 0, 1, 0, 0, 0], [0, -11, 2, -9, 3, 3, 0, 3, -5, 9, -3, -2, 0, 0, 3, 0, 0, -3], [1, -39, 1, -38, 38, -8, 0, -23, -11, -13, 25, -12, 39, -1, 3, 1, 0, -9], [7, 0, 0, -41, 87, -64, 3, -115, 0, -128, 128, -13, 114, -3, -25, -1, 2, 13], [0, 375, -12, 269, -142, -128, 10, -128, 114, -269, 142, 87, 0, -3, -128, -13, 13, 128], [-46, 1181, -46, 1338, -1338, 233, -14, 786, 375, 455, -883, 411, -1181, 27, -142, -27, 14, 269], [-126, 0, 0, 1494, -2815, 2064, -141, 3857, 0, 4309, -4309, 455, -3823, 141, 883, 44, -97, -455], [0, -12254, 421, -9112, 4808, 4309, -296, 4309, -3823, 9112, -4808, -2815, 0, 156, 4309, 452, -452, -4309], [1307, -39530, 1307, -44855, 44855, -7446, 499, -26174, -12254, -15570, 29285, -13920, 39530, -980, 4808, 980, -499, -9112], [4244, 0, 0, -50162, 94477, -68815, 4761, -129240, 0, -144639, 144639, -15570, 127231, -4761, -29285, -1650, 3111, 15570], [0, 410121, -13561, 304266, -161859, -144639, 10092, -144639, 127231, -304266, 161859, 94477, 0, -5307, -144639, -15399, 15399, 144639], [-43774, 1321304, -43774, 1502409, -1502409, 248262, -17220, 876246, 410121, 521594, -980815, 466125, -1321304, 32396, -161859, -32396, 17220, 304266], [-140792, 0, 0, 1681488, -3160375, 2302119, -160038, 4326122, 0, 4841863, -4841863, 521594, -4258423, 160038, 980815, 55469, -104569, -521594], [0, -13722757, 453895, -10185670, 5418926, 4841863, -336662, 4841863, -4258423, 10185670, -5418926, -3160375, 0, 179079, 4841863, 515741, -515741, -4841863], [1462096, -44225341, 1462096, -50289553, 50289553, -8303831, 577063, -29327353, -13722757, -17465163, 32824390, -15604596, 44225341, -1085384, 5418926, 1085384, -577063, -10185670]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2601214274036, 1348014480151, -34340446173148, 22913565282806, -73622429378663, 24300805314434, -101945748763594, 27960663596715, -77292885590832, 16563882463922, -41495881520992, 9051939676612, -12964718137852, 2458535955743, -2732196133634, 523927730528, -176902925324, -2362215094], [1249494973861, -4173984429332, -6310322562086, -24543770185394, -21178028146029, -53683022385418, -41806244150830, -45248146421483, -32654560143716, -25750669196294, -19595360087749, -6799863255329, -6148599460869, -1289873408104, -1446829381050, 51093388053, -88297854546, -17485732004], [2036474776337, 4174852913747, 6559174797101, 25432415690738, 24440209046322, 51736757215426, 44701878155230, 44417859093215, 39943209775688, 25358952088733, 23929992121897, 7321752947336, 7658100229362, 1576807416328, 1646328025947, 77458832787, 67213359096, 31170269891], [9924998536452, -25239051620405, -18574098462028, -65671130584969, -71368680699863, -150604628667508, -140150638887798, -139987308514533, -107347453764758, -91399807598455, -61173284253370, -33578770190668, -16935494273702, -9048902407408, -3440777225226, -1207986331145, 22583410048, -150661038729], [-2451247768033, 23094455322128, 15495186910162, 52866415784337, 63296274710146, 128192309299746, 117052142258774, 143914939792586, 86539068699317, 108555610980184, 44506175702300, 52145226330891, 8550245559592, 16364383205847, 840321900394, 3183507161538, -484705722592, 271722740134], [-139873473393, 1344049384007, 907619400199, 3507803893486, 2591457050228, 11453985494683, 5750184114669, 12178339879671, 4204775784857, 8811394522903, 2401081552594, 3667695351382, 517821809207, 1054848843451, 84439865154, 163974948404, -18779546977, 14393251623], [-2743148781339, 1289655835611, -36148782515349, 22920186337367, -64199831043919, 8235247858388, -84690957416629, -8530715161662, -56855271575000, -17195400090500, -28551737645641, -11452733474463, -6588252818956, -4366731414611, -1021310336031, -988488698886, 144550753822, -99295558576], [271722740134, 2451247768033, -19018614220118, -19842750752306, 934686762195, -99163676407834, -9449471861188, -154549880397266, 14227694965402, -128927816160221, 10458949198508, -69776390534762, 10622726640063, -22408105306426, 3199654083801, -4644440262270, 892333940472, -330462497810], [-759862203949, -422383778863, -30581574139987, 54155545522772, -109625290547904, 135207369075700, -141640168905788, 199076210749085, -126748060068652, 156613392824897, -73041253362959, 85618508403902, -30567017722290, 26906316005605, -7682766129021, 5639724390405, -1203461029533, 335323421585], [671726483761, -15266507142983, 8766054588512, -3857061703044, -10070536517332, 22431948273852, -10254441293754, 58786967689962, -19086289356322, 53548739509621, -11980132322574, 32807739705559, -7678713505092, 10956780516730, -2179007028305, 2467349014493, -512091105045, 169369527342], [2362215094, -332082681947, 1383447706561, -34378241614652, 23381283871418, -73934241771071, 25333093310512, -102271734446566, 29335472781423, -77661391145496, 17598532675094, -41715567524734, 9597611363326, -13085191107646, 2628615442511, -2765267144950, 559360956938, -183989570606], [422383778863, 19183641080752, -41997750259588, -40827425833998, -34905558154432, -190419614219925, -94215226604123, -315491742629666, -38074889008853, -259778391966703, -14951323436645, -144961151389929, 11846656395794, -47027312555307, 4998346464881, -10194472029702, 1944263190262, -759862203949], [-12113076116529, -27211156260656, -9094600892191, -280065299810173, 84122081916376, -600411869161108, 67175092224633, -753304634763705, 104668494106942, -551278539461887, 66417646782434, -280006541552455, 46214882705029, -85919693699728, 13589938568817, -17453288335442, 3351021374386, -1201752794172], [1723605145714, -893491525826, 73511199022292, -325915380884067, 383847702402056, -717045289804293, 442503520486495, -1001370170259860, 429588085896622, -759490348933525, 241220082848977, -410622346773594, 113987266569107, -128615472664470, 29428427601899, -27296401124421, 5655888876310, -1764752036203], [-3751600650469, -5869106089249, -46549600863206, -309405458804505, 76344756009802, -778255161948012, 32966933367212, -1075352377560484, 131095657717169, 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mf_newspaces • Show schema
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{'Nk2': 3420, 'analytic_conductor': 6.827209372819473, 'char_conductor': 19, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 45, 'char_orbit_label': 'bs', 'char_order': 9, 'char_parity': 1, 'char_values': [855, 9, [191, 172, 496], [9, 9, 5]], 'conrey_index': 226, 'cusp_dim': 672, 'dim': 204, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 3023690531671, 'hecke_orbit_dims': [12, 18, 18, 18, 24, 30, 42, 42], 'label': '855.2.bs', 'level': 855, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 19], 'level_radical': 285, 'mf_dim': 768, 'mf_new_dim': 204, 'num_forms': 8, 'prim_orbit_index': 5, 'relative_dim': 34, 'sturm_bound': 240, 'trace_bound': 4, 'trace_display': [0, 0, 0, 0], 'traces': [204, 0, 0, 6, 0, 0, 0, 18, 0, 6, 0, 0, 30, 12, 0, -18, 0, 0, 0, 0, 0, 24, 12, 0, 0, 30, 0, -12, 42, 0, 12, 60, 0, 72, -6, 0, 72, -36, 0, 12, 48, 0, -6, 72, 0, 30, -18, 0, 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-18, -288, 0, -804, -78, 0, -636, 324, 0, 144, 216, 0, 234, 462, 0, -504, 66, 0, 666, -192, 0, -24, -432, 0, 156, -252, 0, -384, 588, 0, -402, 216, 0, -480, -72, 0, 348, -618, 0, -6], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 539367
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 18, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '855.2.bs.c', 'source_level': 855, 'target_char_orbit': 11, 'target_dim': 18, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '95.2.k.a', 'target_level': 95, 'twist_class_label': '95.2.k.a', 'twist_class_level': 95, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 539368
{'conductor': 57, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 18, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '855.2.bs.c', 'source_level': 855, 'target_char_orbit': 11, 'target_dim': 18, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '95.2.k.a', 'target_level': 95, 'twist_class_label': '95.2.k.a', 'twist_class_level': 95, 'twisting_char_label': '57.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 539369
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 18, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '855.2.bs.c', 'source_level': 855, 'target_char_orbit': 12, 'target_dim': 18, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '475.2.l.c', 'target_level': 475, 'twist_class_label': '95.2.k.a', 'twist_class_level': 95, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 539370
{'conductor': 285, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 18, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '855.2.bs.c', 'source_level': 855, 'target_char_orbit': 12, 'target_dim': 18, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '475.2.l.c', 'target_level': 475, 'twist_class_label': '95.2.k.a', 'twist_class_level': 95, 'twisting_char_label': '285.bd', 'twisting_char_orbit': 30, 'weight': 2}
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id: 539371
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 18, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '855.2.bs.c', 'source_level': 855, 'target_char_orbit': 21, 'target_dim': 36, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '475.2.u.b', 'target_level': 475, 'twist_class_label': '95.2.k.a', 'twist_class_level': 95, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 539372
{'conductor': 285, 'degree': 12, 'multiplicity': 2, 'order': 36, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 18, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '855.2.bs.c', 'source_level': 855, 'target_char_orbit': 21, 'target_dim': 36, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '475.2.u.b', 'target_level': 475, 'twist_class_label': '95.2.k.a', 'twist_class_level': 95, 'twisting_char_label': '285.bi', 'twisting_char_orbit': 35, 'weight': 2}
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id: 539373
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 45, 'source_dim': 18, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '855.2.bs.c', 'source_level': 855, 'target_char_orbit': 45, 'target_dim': 18, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '855.2.bs.c', 'target_level': 855, 'twist_class_label': '95.2.k.a', 'twist_class_level': 95, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 539374
{'conductor': 19, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 18, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '855.2.bs.c', 'source_level': 855, 'target_char_orbit': 45, 'target_dim': 18, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '855.2.bs.c', 'target_level': 855, 'twist_class_label': '95.2.k.a', 'twist_class_level': 95, 'twisting_char_label': '19.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 539375
{'conductor': 57, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 18, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '855.2.bs.c', 'source_level': 855, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1805.2.a.s', 'target_level': 1805, 'twist_class_label': '95.2.k.a', 'twist_class_level': 95, 'twisting_char_label': '57.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 539376
{'conductor': 57, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 18, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '855.2.bs.c', 'source_level': 855, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '1805.2.a.v', 'target_level': 1805, 'twist_class_label': '95.2.k.a', 'twist_class_level': 95, 'twisting_char_label': '57.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 539377
{'conductor': 285, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 18, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '855.2.bs.c', 'source_level': 855, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 55, 'target_is_minimal': False, 'target_label': '9025.2.a.cc', 'target_level': 9025, 'twist_class_label': '95.2.k.a', 'twist_class_level': 95, 'twisting_char_label': '285.bd', 'twisting_char_orbit': 30, 'weight': 2}
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id: 539378
{'conductor': 285, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 18, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '855.2.bs.c', 'source_level': 855, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 58, 'target_is_minimal': False, 'target_label': '9025.2.a.cf', 'target_level': 9025, 'twist_class_label': '95.2.k.a', 'twist_class_level': 95, 'twisting_char_label': '285.bf', 'twisting_char_orbit': 32, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1415975
{'charpoly_factorization': [[[1, 6, 30, 84, 0, -270, 397, 591, 18, -1130, 804, -354, 268, -66, 33, -19, 6, -3, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 2}
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id: 1415976
{'charpoly_factorization': [[[0, 1], 18]], 'hecke_orbit_code': 9010222945272663, 'p': 3}
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id: 1415977
{'charpoly_factorization': [[[1, 0, 0, -1, 0, 0, 1], 3]], 'hecke_orbit_code': 9010222945272663, 'p': 5}
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id: 1415978
{'charpoly_factorization': [[[361, 2907, 35778, -110129, 374922, -289026, 331048, -185751, 168603, -77089, 46251, -12705, 5773, -990, 516, -48, 27, 0, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 7}
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id: 1415979
{'charpoly_factorization': [[[597529, -5683869, 69603909, 160133926, 343751106, 191315736, 113515623, 33042279, 13707387, 2855496, 1117941, 161004, 59822, 5157, 2382, 104, 60, 0, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 11}
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id: 1415980
{'charpoly_factorization': [[[2809, 6360, 55119, 188739, 256356, -666120, -925688, 645645, 1557750, 906001, 293502, 116694, 33331, 1134, 1302, 65, 18, 3, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 13}
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id: 1415981
{'charpoly_factorization': [[[2859481, -13250676, 25551021, 1862136, -18635286, 8598084, 31397977, 31383276, 21413613, 11273852, 4711464, 1599729, 443368, 98823, 17721, 2593, 300, 24, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 17}
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id: 1415982
{'charpoly_factorization': [[[322687697779, 0, 40224228255, 7480295079, 1626797043, 930100977, 119614101, 47513376, 12845007, 2072495, 676053, 131616, 17439, 7137, 657, 159, 45, 0, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 19}
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id: 1415983
{'charpoly_factorization': [[[2085474889, 14438261388, 33399057753, 24003654614, 10804483290, 3171255645, 1190663276, 198578685, 40845360, 4173576, 1719306, -243417, 67065, 4728, -1284, 229, 6, -9, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 23}
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id: 1415984
{'charpoly_factorization': [[[44269422409, 32549554503, 65664230568, 61752839685, 35472073803, 13426732056, 3330120535, 421997046, 4300119, 5952353, 5999655, 1324812, 54046, -22482, -3630, 16, 87, 15, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 29}
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id: 1415985
{'charpoly_factorization': [[[47085094081, 165291809295, 563671907850, 110627499801, 102358812162, 23603956107, 12923623972, 2658850815, 913462053, 167966162, 44629974, 7079073, 1372033, 174075, 26700, 2746, 303, 18, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 31}
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id: 1415986
{'charpoly_factorization': [[[-11125, 88800, -171945, 122083, -23907, -5517, 1624, -15, -18, 1], 2]], 'hecke_orbit_code': 9010222945272663, 'p': 37}
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id: 1415987
{'charpoly_factorization': [[[130321, -9547728, 200209878, -122680017, 1154741655, -1331837127, 876831130, -439414968, 173250606, -53207192, 13293417, -2579616, 389782, -59034, 13047, -2773, 387, -30, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 41}
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id: 1415988
{'charpoly_factorization': [[[2531341458361, 9362766561459, 12737105286036, 7423393018752, 2495058874806, 496039623858, 80608693804, 4633113510, -1295369637, -327646928, -5700123, 13231119, 4161550, 743499, 93546, 9038, 696, 36, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 43}
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id: 1415989
{'charpoly_factorization': [[[2033313439249, -2706612353103, 2004475286151, -1054599687835, 552226883214, -122874634710, -23719831247, 5354614359, 2735894904, 326085625, 5524881, -6315672, -1006103, -3993, 16812, 2346, 267, 21, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 47}
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id: 1415990
{'charpoly_factorization': [[[44884235881, 213479509491, 401990061072, -544835831678, 451379878755, -261124949298, 72923834963, -5620278834, 1663512543, 544996851, 15812070, 1980957, 343152, -129351, 29175, 404, -105, -12, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 53}
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id: 1415991
{'charpoly_factorization': [[[538419880441, 2401914251064, 4958645853570, 5446228954768, 3567887119455, 1545148164114, 490432688273, 114929216988, 19512992850, 2319706938, 175378443, 3718779, -946605, -121671, -1833, 929, 189, 18, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 59}
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id: 1415992
{'charpoly_factorization': [[[3789756721, 927847392, 1261205235, 3010750713, 6515614254, 5101866828, 8037883063, 6706855317, 2583172947, 509284064, 67079811, 1901295, -733733, -140640, -3765, 1558, 342, 30, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 61}
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id: 1415993
{'charpoly_factorization': [[[42166698100921, -91012273270368, 49225079381382, 3612965661481, 8799382341021, 4024790037285, 1421927012604, 68032964796, 17157655479, 2736653202, 18322515, 16854306, 3467702, -10326, 14172, 2309, -63, 0, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 67}
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id: 1415994
{'charpoly_factorization': [[[2834480882664649, 1478872028245749, 386608415825586, -73550953337053, 13677463355220, -9479792874693, 1723910224454, -60217118727, 8934581688, -5193668055, 999819414, -96691116, 5070534, 160575, -40080, 1558, 69, -12, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 71}
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id: 1415995
{'charpoly_factorization': [[[585504633023209, -856924997835051, 578750680499619, -154609539956732, 17010917228757, 2989089033948, -500929987135, 192930124575, 30879347706, -2251995606, 59476194, 10897053, -1546737, 358785, -846, -3646, 381, -24, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 73}
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id: 1415996
{'charpoly_factorization': [[[14691889, -168115380, 780334149, 1551306657, 2022479112, 1771201848, 853411065, 253204869, 145353153, 100070890, 48173469, 16841202, 5475309, 1272408, 184965, 17445, 1185, 51, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 79}
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id: 1415997
{'charpoly_factorization': [[[36030515128141249, 11487212177062017, 6189090104803176, 705729322317319, 366261422525022, 34913765518053, 14271733039817, 848417232372, 312225018681, 18799307889, 4465349472, 173135181, 33374259, 854691, 178113, 2294, 507, 0, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 83}
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id: 1415998
{'charpoly_factorization': [[[916651141561, 3243174524466, 4995676066575, 5405628999657, 3027366261861, -3787422486660, 1527322760305, -236291037885, 10493386530, 3228152354, -678526578, 31704114, 10139938, -2531178, 315477, -25940, 1473, -54, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 89}
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id: 1415999
{'charpoly_factorization': [[[3665788890625, 670166615625, 67553902498125, -93594162257625, 63954401652225, -27827377963620, 8603893981111, -1985120791083, 347831665503, -45858679496, 4443909177, -305514906, 12687004, 175404, -79563, 4658, 129, -27, 1], 1]], 'hecke_orbit_code': 9010222945272663, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 45, 'hecke_orbit': 3, 'label': '855.2.bs.c', 'level': 855, 'portrait': 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h47Nsb4yhBrQZwGLHYkg5FP4AmE0cxNadZNpix1QjoDwTDxWe4LNk5qFtua4+cUNT9g4wxsnYvYMDtk/eyIjbMjtm4wXLRRcfk2n7pqcuT4BN94PODB/QmPHotJVZfvfHGbN99kqKtZ9h+b4shpj1PnU85m4D64YLj+ynl+9R3LbFs3yen5Kc4t1Vhs+yy1JcvdlE4/pTuE/UcW2X+iffmjB8+/5MjJszuOnj7/+Rte9dbo7ts++mxD4pu6/aNm8MWlNlFiUJJ33vXg4Zt+8fc+Jt9+08Gb/t1bTnqLKxtYbE+wuNJgsR2wsOKx2BYstVOW2jGLKylnV+DQomBu3Qr/+YcWef7uBifOzXD6fJPTCx7nFg1nFxJOzqec7yZMzQx50dU9XngZBLJOqELOLdU4s+BxdknQH0GSaGqBpllLmZ5M0MCxswmdHmzf4NOsjzBGgAjoDTQXbRyxuOKBsVJkpQejBAyGpXbElvU+3YFCKIPQIyZqPhdtGrLSFxw77ZFqj9kJSasmCH1IEkF/JDm7JDmzaDi3nBCGQ/ATbriix01XCuYm6iwuT3DiXMjpBTi3kHBuKeHUEhxaNDzvigV+/YeW2Tg1wfGzM5xdrDO/HLDQliytpCx1YpbbKUtdzXxXcqID7eUO//3fjZLvf3X9a8G6n9BB8/KvSaF/MTU+QfiPNzv6j5bB3/MXH+PFNz6Xf//v/8NvfuBjX/53f/KhL12y9/jKjkOnu/JFV/W5eJMmSX20lhgj0UaCkYAEBEIYPGEIJJxerHPvQcnVu5a4bNuQRg18TxL4iiDwaNYlDV/S7/nsO1rjCw8GHDs/opPE7DsxYsPsEm940TJXX9LleZe1ObqQsNAXNMIhh08b2p0mV10sWRmm7D2qaDU8njgGl242DKOUYRrgeTHTLXjqRIjyUnyZ4PkwGEmef1mfQV9y9SUpnUHKsdMtdm5UNBsRKyPD+qk+y70OH/kyPHwk5dEjQ7ZvXuSaPR2mZyJef0OX736pYdfGFmk8xZFTkxw66XPirObk+ZiT51MOnRccX4l5zu55/vMPddkwNcWJszOcW2wwvxKw2JYst1NWujHtXspKz7DcF5zrK5Y7Mc+/fIGf+a7zsu6bHQvnj+0cDeMXBM2L67X6zBcfue+T/OGf/PWzDZk1b/8oGfxDH/5bnnv1NvXFu/b9X4eOnv3lBx47ps4tRyyOPM4ONNdsP8fv/tR5rtvV4OzSNIsrTZbaNZY6Pkttj+UuLLdTljsJS92EhTacWBZ49SE3XrnE97w0Yuf6Jiu9Cc4v1ZlfClhoC5baViIsdzWdgaYzMvSHCbMTMRdt0IAg9A0nz/sIGbJ9vWLnZsPm9X3OLY945ECL515qaNSXefzgDK1mRBT5zE5rBkO4/KIhH/zyFHu2JYxGhnWTkjgd0KqFPHF0SN1vcu3uhEcPR5xbDNgyG7JzE1y0MUKpmJMLEPgGIQzbNyRMtyTdQUiv79Pp+yx1FEsrsNjWLLVTFtopZ9uwOEy5aEuP77l5gRsv86j5E5xZmGBhucbCisdSR7Dc1qx0Y5a7KStdw2IPzvYkZ1dSXrDnLO/6qUV2b22w1G6x0q3RH00ga5emQX3Tb7ZHl/563TuZvvhl3/VsQ2fV7R8VwPfv30+9VqufOnXyogcffuLth4+e+o29B04yjCTdkWBlIJgfSM50Y5538Tn+608tcc3Fdc4vT7G43GS5W2O547PU8VjuQLurWekmLHcTljqGc23B6Z4B0ePNL27z+udrLt5UI4oaLLdrrPQC2l3Fck/Q7QuGI0OUGNIUlDSEPtRDw9SEYf1MjOcPOXQm4rGDITpp8toXRHj+Cg/snWTHJvjcvQkvvirkfHtAzVMkaczMNCSxj+cnLC42eNF1HT739RY7N8H9B0b4NHjN8zWJGPDYoZQjJ2t4MmDDtMd0U1APBUEgUAISDVFsGEbQ7RtWeppuX7PS1yz2DIM0ZfvWPq9/YZs33xSBbrG4Msn5pbrV2x2P5TasdFPavYSVbspKT7PUE5zpKuY7Cc/bfY53/dQ8V2yvs7gyyUq3Qbsf0u35rHQFfn0rYWPjr2zactnfbN265fhwOBxcunvPsw2l4vaPBuDHjhxk3dxccPDgwR85cODAu+974GGxuNSTg5GmN9B0h4buQLAyFJwfSM52Ip5/6Ty//eOLXHdJjYWVKRZXmix3Qla6Actdj5WuoN01dsntJrR7muWe4XxXcKatmZ7q86rndbnhsoTtGxQTdZ9Ot0boS0ARJRKtBdpAfwgIzXRryIFTBm0ibr+/yahf55ItATde3SfWK9z54BTXXupz4GyP9vIEL7y6zxcfCNkwY9h7zPCv3tRh79GQDTOSLzyouPFyxVK/w+ETM1y7O+LOxwYkowY3XBGwa9uQQdLjtgcUpIJDJz0mGh6egP5Aoo0g1YY4AaTGCzTtnqHZitm2acRNl/d51XMTZps1zi1NsrhSZ7ljj81yR9DuQbub0O4ltHsp7b5hqS852xUsdBNesOc8v/njC1xzccjC8hQrvQadXki379Pte3QGik5PEKc1vevSq8yOnZf8zMW7Lv3zhYXz0WV7dj/bkAL+kQA8iWMZRYM3PHDPrZd0usm77rv/AX8wgmFk6A8S+kNNf5iBfChoDyzIz7QTbrj8PO/88XmeuytgpTPJ/HKLdq/GSjdgpefR7irafej2DJ1+QqeX0hto2n3DfE8w34M4HXHNpQM2zqT0+obXvXDEjo2aJJV40hDFcMcjNY6fr7FpOuHxQzXQDS7bqrhujyas9XngQJ/5hSZX7mgyMbXM1x/1uf7SGov9FZaXJ9i40XDvXsUPvLzHfXs9tq73Wei1WV6a4brL+3z98ZSZ+hRXXtLjfLvNvU9OUfeaPG+PYfdFQ5A9HjkiWD8Tc24+5s5HfIaxQkpItWHHpohXvTCi21NsntZcdylEUYOldoOldshKz6fTV7R7kk4POv2UTi+l20/p9DUrfcPSQHKqI2gPRty4e55f/7Flrr805NzSFO1e3YJ7YMHdHSi6A0lvIOj2U3qDhGuve16cau/n3v7WNxxsNuqf8X1fP9vYetYzmdGoR5L0f+j0sQd+d+HcvpkzZ1doNiRS2UDRZuITeykKjRTG3qVBSY/79m/gF9/j8aYbl/jely+xc0vE2cUJwqBOPQxohD7Nuke3LmkNfCabHv1hSm+QsmGkGYwM3WHI0nyNkycMUaI5dTYhDA0gCJTBk4L+QCHwSfoez9kh2LXZcNGWPqO0y633KZ46OM2rnxty3eXLvP9WQyAa7NjS59GvK7ZMKdZN9KmpOlHsc74LzZrH1g2Ch5+KuG53nZdeu8Bf3DIg8Fu88gUGP+zzpXsjPndPkyeP1Ll4c4Mdm1LmpiN2rou5akeKUhpPGcDQCEPmpkKi2KfbD3j8gE9v6NEfKHpDSW8AvaGh17d/e3eQ0hsYOgPDygDm+4pzy4bGZJuffe0833XjiGsubnJmoWXB3c+Ye6DoDRW9gaQ/FAxGhlEMcQxfves+vzkx87tz6zcsvfwlL/i33W7/L1qtxv++AI+jPgJ+7OzJr73z6P4vzcT9Po0wABQCAUbY5wKESBGAzECuhMGTKYGUPHpgjof2Nzlw+jxvuqnHTVcMmWpNsNRu0OzUmBgE9DLW6Q0lg6FHf+QxHBmGkSaKDXFsSFJ7j5IAo0Eqge8JaoFgqiWYbsHGdZqtG/qsm27z+Qfgqw/5SD3Jq5/r85zLutz9ZEw0nODG5wjagwHnF5vcsFuzbqpP3QsZJor5TozSgufs9mi0Rjy4r8ZLrpvkhdd0eXCfAjPJc68I+NHvXOKLD0d84b4me4/XuGhOsXGmznSrwWQL6iH4nkFJ0Ab2HhGkqSBOBFECoxj7N45SBiPNcGRXwv5I0xtAZwTzPcn5Loz0kFdcu8Qbbmrz/a/UJMkEZxeadPo1ev2A7sCnN8iBLemNBIOhoT/UDIcJw0jTH6acWTjDyQ9/fqY70P/3W97wEq/T7b9n4lkE+bMG8Hi0iCT50cUzX3nn/PEvrJemT7NZQyjrVmCgtPwUQgiEACUFSmqUMnjK4CtN3Rcs9Ot8+Mtb+dJDHV581QrveMUKV+3sMTvVYHGlQXcQ0h/4GbCVvUeCUSyJE0GS2KXerhg2qPQ8qAXQqGtmWjFb1vdJ6HHgVMxH7qxx+ESTqbDO9Vd43HB1h3v3t7n9GxO84NIaF23q88EvC5QImWjFrPRGaANKwNxEn043QCd13vDi83z4cw12navx+hf0ieJF7nxsljit8fwr1vP66ztcuq3Nlx7s8+iJBo8cCdg6I5mZEDRCQeDbi1AKEMKgDWhtiJPsYo0No9heyMMIBhF0h4LlkWCpC8Ibcu2eFd7xqhVefEXK7ESd5U6DdrdOtx/SG/r0BtlKMJIMhoL+UNDPL5xhynCkGWT/fqIVp861ee+HvrC+P+Kdb3/jTeb0uaX3bt4w878HwM3Sb7DQuZTh4t/+cDQavKsz//g6SYd6WMOQYAwWZMLeLbAFUkik9FAqRSmRLc8a3zOEnqHuCZaHisX2NB+9o8k9j/e48ZoV3vHKFa7d1WY2rZMkIf1hjd7AZzDyiGJFnEiSVJJqgTbCZkGFIQw0jVpCGEQE/ohTiyNuuV9y8GTAkZPTKB2ya1PA5TsVz72sgwrneexQiy1TDa68GDbOLbPUmeCqLZJEGz5/X8ioL5lqJrzm+UM+c2fM8bMt9lzic2ZlyBOHfbZtmOaanfPc/WiXrz8hGEUBl+2c4bJtIZdt7XLozBIHT8F9TzU4cLhJwxOEnqQZGmo+SGkPmzH2Yk1SiBKIUkFvJOgMBZ0YIp2gzZDnXdrhHa/q8OKrUjbNhAyHkyy2a3R7Ib1hQH/g0RsqW6w2EgyGksHI9o0ORynDKGUw1AwjzSAyDCLr6MRaMX+2zR//9ZfXP3To3LsarWbya3906/uffOoIH/ndn/qnC/D/8F9+H6Y/hmjz/TI68ntp5/SUR0g9DBEkGCMQBsBkssQgpURJiacESik8JfCUxlMpvicIPE3gG0Lf0AhSpmqC7shnuTPNx786wZcfGbJhus/bb25z2bYhw0GPK3catm1UjGKfNC3T/AKDlBrfSzl2znDkrGBloPn03Q1OLUxjIp/pmmLzrMf2jR4Xb4Erd3XQcoE//UyTpaVJXnCZx5W72nzpEYFIfNZPS5qNhH4cILNklPIC2kPBuSXBFabBzc/t8rUH62xeF/CCK2f4F9+5wJ9/rst9+5r0hj6LKy12bq6zZ1Of5+/u8paXdDm9tMSn7w5Z7IccO+Nz6lSArwRSSgQCbQyphlgb0kQzPRtz9RV9RqOYy7aNeOvNI9ZPKmZaIXFc48x8jf4goD+yq9ygALa04B4JhiPsSjBKM4BrhpEp7oMI+rGgHwtGxmPfmQ5Pfvzr6668ePb3brhuffyR3935oaUT72Rm2y/+0wP4T/76B2ld//3iB/+DfNvWycf/7Htufrxx5Y4QW25s6dqAfS0MUoAUCilASQqQeyp79AS+lxJ4gsDX1HxDPTY0IsNkLWW6LuhHkm7U5MjJJr/9oRnQCSJJeO7VfXZujEgS0EZjjJVFUgikEnh+wL7jAXsP1mjWPFqBZF1DMDcrWT/jsXlOsX1Typ7tK6Rikd//xATHjk/xgt0+l+1IGSRdvvFYyFTdZ3bSMNWKaNStFNJa0h4qlnqGxXZKu1fnRVeucP/ePk8dV0xN1Hj+FVP8+BsW+YNPwoMHm/QGhpWux7mlCTaua7B+esj22SH/4W19JhptHj0C+05IfN+glEEIDRj7PwNJAjs2ptx4VUIa+8RJiDENhpHP2YWAwciuaMNIFfJtEAmGI8Ewsqw9iixrjyLNKLKsPYqNZfPMi+9HgkEs6EaClVjST1J0v0fcPTb1pheu/7M/WFpI8P/VR3unm6a5+d/80wH4v/+tD7Nry6y6746/fPP+o0vv/6v75msPPzXNb/90h8su6iGlzc6J3CER2o5lyO6WuQ2eJzNgCwJfMfIlo0gTRimj2FCPNaNYE0WGiQRGsWaUQJQIhrFklIbEaY2nDjZ55ClIjSFT/CgBvoRA2ZqPVghXboKJOkw2JdMtxeyUx/oZuGjjiE1zK8Rmid//xCSHDk9y3cWKi7dKdm1d5itPJJxbnOS5OyXTE5paMCCUIUYJklQijCFJI5Z7Nc4t+lx3WZ3n7O5y94M1NkwLGrUW1+3W/OybF/m9T2qeONVipadZ6Srmlz3WTTWZnqgzPTHJRCNmrhmz/bqI0E/wvQSlUqRdCjHYiyqOFefnPeJEESeKKFaM4uwxkoxiySiSDCPJKBI2QI0Eo8hYUMea0cge51Fkdf0oznW9YBhb9u7EguVI0o8SzLDPc3Yu81s/vcSrrjrd6K3474/FX+qIPZ9YOPqn6bodP/HtD/BffNdHaDVqau/hM289cvTsX9y/93SN5gy33uPjK/j1n+xw+dYeSmiktHclA5QyNtBTBt8z+ErheSarIRH2JPiCUaCIYgv0ODZESWpdkcS5p5CkhjTVpBqrtzUFuEW2SngSfB9CT1ALBY1Q0mwoJhuS6UnB+pmE7Rv7tJorfOJrEXc+NsPKwgRXX6TYvsnn0m1DUrHC5+9r0PQ95qYVrcaQxw7Bk4c9rtpm6I8U11wac/Uuw9kzKfPLAYNhg9de3+WuRwccOKVo1iVhMMFVF2t+/YcXueOJAZ+5Yx2LHcP29SnLbY+pCcVk06fV8GnWDbVQEwaa0EvxlMmOpT0HxmATVlqQaEmSCpJEECeSKBHEsWQUW+cligVRbIgiGMUpUayJHOIYxfkdhtlFMCjALVlJYDiKkHGfa3cu859/YpHXPT+l259iMDxS0/7EB1QY/nPtzXzs3KH3pht2/ei3N8B9kcqVlZXvPXDo1B89vvdYrVX36SUeiRD83dcVUeTx1pd1edsrekxNJHj9FCXTLJjUeF6K73n4nkcYKYZ+xja+JAoEUSzsyYkVcQJRLK2DkJS2X5Jq0tS6C6nJnJLMLRFCIKV1ZzxPEHiCMJDUQkmzLphoGKZamg0zI+amuyRmhY/eJfnzz82yvlbj6osEF23y2bFZs33TMp/4hmFpqcZlGxXTE9BqxJw7Kjm/HBLshFEsmJuUTE3BgSOG5Y7m7EKNS3fUePlzu9zy1RqzLQiDACWnuGqX4Cdefx5fnufv7p7myVM1NnRi1k8lTDYVrbqiUZfUQ48wgNAHz7PEYGWeA3LshZ1qSFNBkpIBHeLUECUQx6klhVgT5Y+xJophlOSuTAbuRDCMBd1Y0I4FvdgQj0ZMhl3e/tpF3n5zj1c919DpNxmOaoySgKh/uOY3vD/zasoTIvhrLM98ewL8D9/3SZJU//BXvv7kfz1w4MTEZE0xSjVKCLoiJJaKz9/n8Y0n6pxZXuRfvWXA9ERMLWzQ6aV4Xkrg+fiej++lRL5HECtGsSTybSrdMo6wTJSxUpJAnEKaWidBaxtwaW3yHs4M3BbgSgk8JfA9C5BaCI2aplVPmGolzE0NWDe9wteeivjA7XX2HZlix6TPro2wdWPA1g2w56IO/aTDvXsnqCufuWnFVAumWiOmJxOCwCsSV4NRwFInZqVvaPcSzi8HXLSxxQsvO8/t9/XZd2qCRhjjqwAhJtm1RfGDr1zgeXvO84HbW9z7+BSLPY/1EwlTjYRGTVKvKUJfEPoS37exilJk9qFFucH2sGpNAfQk1dnqllmLiSZJLbiTGKLElPfYujI5sPuxoJsIugkMBwk6GTDb6PLT373If/i+Po1aQLtbZxTZBFQUe8SJR3/p2IRX836/MfWc4MiTf/vnO694y7cfwBeX2iilfuwP/uzj7zxx/OTsZF0Qa4OXZFJACDrCYzjRZGXk8V//xmfvoWXe8JIeN1/bZcO6iG63zmAU4PsBYeAzijzC2Np7UWABHseSKLHLbpxknnZKZv2RMbdEG0pwZzakZW7wlE2YBL6hFmjqtYRWLWF6YsSmdR3Otfu8+9M+n79/hqXlJpfMCS5aL9iyPmDresHOzUO8YIUP3+lx+EST3Rsk0y3JZDNFyhGn5g2hJ5ECjBFEscf29R3uI6XTVyx3DOeW6uzeWuMtN7f52JcCjp4L8b0YIXy0aRInkufuXGb793X4/IN9Pvj5GR442mTLtGBdM6VZS6kFgtAXBL7E9wSewgbOUhQ1GQZ7kWmDdVpSC/gc5ElqJZ0FO0SprXWJ8uRRIhgk0E0k3RgGsSbtj9i6rsNLr1vhjS/p87rrU3zRYHm5RpQERLFPHHsW4KkijiVJ7+ysDPvvuuSq71ajYfs9Ye1/TU35/xKALy6tEATev/jM5+5858OPPLG+5hl8JYgSgycswD1h8KWgl0h6ok479vnwV2rc8WiX6y7r8H2v7PMdL2izbjKgP6wxGAWEvk+U5ExgA6QkUcSpJEkkcSpIEkmaClItSq2trUOTOZCIbOlWyroOvtIEviYMUuphQqs+Yt1Uj0E84EuPGT7ylUnufXyK6cDnqi2GTTOSDbMBm+ckWzdEXLxlmUePDvj0XXNMKo+5ScFEUzDRiGn3Uz73jRqtwFqf2sBg5PGGG0d89h5bE9Puac4ve2xd3+JNN/W496kuew8ENMMEJYUFuW4wjKzW/8GXt9m96TwfvqPD15+c4vhynY0TgsmaoRFoap4m8LHWqrQXsmVyyMuPdCbVtC5XuCQDuiUIiFNBnGbATgXDRNBPBN0URpEmiSKa9R5vevUy3/fKDtftTtkw4zEYtOj0AqI4YJSxdhx7RFmAa1dZwekTT633wq+9c8ful+hBv/2+euNbD/JvKcCXV1bodnp4UvzQF7901+/ccuuXZjvtFeqhIkltStlLDV6asXgKgYRQCnrKZ+ArTnYCTt/T4J7Henzsqi5vfUWf19y4wsxUQDQKGSW+ZYTsoMWJIkkVSZolbNIS4NpkzK3LmjLr1oCSOnNmNIGfEgYx9TCiVR+QMuCLD0o+9OUpHj8yiYhDdkwbNk0Z1k0p5mYCNq6TbJ6LuWhjhxPzXf74M02SUZ2tWwVTLY+JJkw0YoQf0Rk0mWoZhBAYA3EimQkViU7oxgHdfspyR3Fqvs4VF7f4yX+2wrv+OuTYfBNPxdmF4ZEkNYaRZONsyHMv6XD1xT2eOHaKj3ylzu0PTHG6XacZKloBNH1D4Bl8BZ60x16IanWdBoy2F12qBamBJBXWP08FUWqTRINUMEhhkBiSJEHHI2ZrA177ihXe/ooOL74qYbLuEcVNltthxtiWiCyoPeK4BHdOSKNeh84jd6wfxd7vXHzp85OF+dN/Was1aba+dUD/lgJ8MBgwMdl84zfuuf8Pbrv9SxPDfodm3cuWPYG07Weo7IAXckUaalowSAR9FdJPfM6PavzdvU3ufKLP87/Q419/d5fLL+qwfkox0fCI4oAo8UmSEuRpDnBtO3xsVlQU6XfL3HmaX+N5CWGQ4KuIziBmvhPz3z9R48j5aR7cO4XRAbN1wfp1hnWTgtkJxeyUz4ZZycbZhC1zfWanlvn8Q5oHnpzi6q2C6Zak1ZBMNDTNeoTwR4Shh6fs7zcG0lQyGHkMhjGJFnQHmm7PsNTxObs4wQ17erzwihU+/IUa9SWFJ2MLSOORpAFRbHs8103VeN6uHs+7pMd9Lz3NsXnJB26f4vxKg5OLIYGSNH1BkMswaQPPgshzqYJl8sQIEg2xFoxSGCYQaQNpAkmMVCM2Tw+4ers9H9dfnjJR90iSJu1uyCgOSBJXipS2pJWPJbhzOdnp9Xjg3q/MJqn3B5fuuXZ5OBx8+luJyW8ZwPftO8CmjRvVh/76I5fs3bt/otdt06h5xKlGJSKr/rM1H57KWdw++grCFEJpaGjBQAn6Xsgg9VmM6tz+wCRfe3JAMxzxz1/XZutswo7NA264sosnbIuYEFaupEULm7C9kdlNYBDSoIT1cg0JyIQnjkjuf8rjlntbPHG8RZQ0aHmKubphpmmYbhjrg094zEx6zE4JNs4kbJ4bsGlumTsfH/Gnt6xn05TH3ARMNBUTTUGrkVAPR3xtv2IYefhNCypjBFEiqXmKa3cPuOexKVv4NEhZ6fgsrIScW5jmJ19/jpMLi9zz8By+BESMhgxAPqNI0ht4TLdqTE00eeHuPi+9us/3vWyep05oPntvjXufqrP/cJNEeIxGin6sUEIW5Q+QB55ZTsBoEm0wWuOLlMkgokbMC6/rsXPTkK3rYt7xmhH1QNKs+0RRg3bXsnWceJZwUpmxtUeSOsBOcmALGy85MdOg2+GB++6eOHP23CWv+47vVseOHkq379j1jwfgT+3dy/p1s8H999//I2ma/NeV5SVqNZ8kNbaGRJgioFPSoFKR+c4GLzX4mebzlbWrakrQSAVDDcPUZ5j69NMa3W7K73x4GpPEbJgbcsVFQ2YnE9768gEXrY+IY5HpbQkOc5PpTyk1Qgo+fkedRw81EZ7HsdMNTp1rUKsrJkPBVNMwUdNM1KBVF0w2FBMtxXTLY3YK1k0lbJgdsmV9h9Ss8PG7Jhj0mly61TDRULQaklZd06ol+H7E5++pMepL/PW2dCyXKM264rXPH/DVhzS9kaQ3SOn0PVa6HmcXG1y+s8VbX9zhwScaHFtqoaQG4kwv+8SpdZOGkaQ39Gj3Alr1Bs36iMu3DnnBniEnzrc5emYFz0955LDHx77SQChbuMb4/EGjAQ3GEEcp2zckvP3lA9ZNpOzZbtgwC2niM4paJInPcscjiT3i1MviIMvUbkyUuIydWt0dZx58kuaulyDVHvMLS6zbGP/XRx55sL9l6/Y/37dvb7Rnz+X/OAB+6tRJFhbmd586derdDz/0gPQ8gZASKQ2pNMjUoBIb0HkZmG0wI/DyoEbnQBcW5NrQSK3zEqWCUSoZaUmkfWIN870JvvKoxpDyqXvtyAaMzu55Fi+zyERekSiRSpHEHlJ7+J6kFcLOOUPT1zRCTSOERiho1iWtupVDky3J9ATMTibMTY/YPNclZZn//rc17n5sPbtmYbqRsXdD0qonNOoRzcaAer1BqCRKZhocKwfi2Gc4EAxGKd2RojfUdAfatsw1A06em+RFV4z42bed43c/5nF8JUQIjTExOjXEiU8US4YjW8baGng0awGNeo1G2KAWxrTqEc+9NCLwY66/NOEdr+jjqaRIqAlhqqI8k3RaS4SQhL4CAoYjj8Vlz9btpHnMk8nCHLypsqBO87uoADtJy7sFOc771rW57777ZJLKd/d6/btGo9Hj3wps/k8D/PbPf5pmw6sfPXrozfv3HxBhoNBGkKS6BLi0mTWVQiqFZXEFXmptPDd6z6vgEm3bsYrPtNWH9i6ItCQxklR7xDokzWwv91ZkKQV4Qli9r6BWN9Q8Q02lhD6EHtQCQz0U1ANJoy5p1DwL8KZgqqWZmUiYnRqxfqbH5vWL/Oktmg/evoFtU4p1Lc1EU9FqKJoNaNRTWvWYM4uaQ2dCaoFduSCv9BMMI4+dGzUb1w3pDAMGQ5OxuGSl69Gq12g1pnjHK85z+MxZ/uzTW/Ckh0GT6pREG+LEYxQpBpEtiurXJI2hRz30qYcp7a6NMQI/xfdSfD/FkzaBJqVN5+clErZ0JasJMnYlbOusylLbuCZNJVpLEl3GO0kq7KPOgey8l4o17pTPEwrHJs2Y/eGHHxUr7f6bL7po+6GP/+0nBt/9ljc/uwAPAi9YXJz/heWlc79g9EjWQkmSghSSxK0nkZBKQ6IMKgVPiyIR4+kS6Na7NqSZdVXeTZlmzyrlrJcrikDJ1dxAlsmzgZUntbUnlXUWfCVsqa1vs5e1UFILJPVQUa8pWnVJq2GYbKZMtRJmJkasm+5z0YZF7t0/4sN3bGa6FrKhpZloCAvuuqRZ0zRrCa3GiHv3wSNPNbhkzhT17HnafDBSXL/HcOlFA+57fIr+yDAYpvQGXgZyn0atTr02xfe8ZIlH9p/nnr0bwSi0Tu3FnxiS2BT1JIORR2NoqNcUtUATBj5hkBJ6eUbYlhgr5dT6CAPCZKVuZADPg3NbQqxzR0rn9qtjxWalxmkO2vyzDMhpKiw5OeBOM2KLc4JzknKDTl+eOnXm/6rX60Gz2fxNIHrWAD4c9uVoOPxPt372w/92efFMEPoeqc6BJVCpIMlYPJWCVBlUqu1rDamyGtyC1zJ2mua1IiXAtckzbwadZeLyZIUxBifzXllx81R1qf+zjKUCvyjastm/MFDUQkU9FDTqglbdMNFImWwmTLVGzE4O2Dy3zD37Bvynv9jA8ZNTXLxOM9WAibqiWVc0a9CspdRrMYE/pD00KKnwlUHK8pul2jJdnARM1GP6iaaf1Vn3hyndvqRdVzS6IbWwxY6NMb/+I21+7f2Sb+zdgEGhjSZNNUmaECWaKFYMI8UglNRHilogCQNDGChCT+P71u/3lLEAVxnxZDJFCFNt0M1S+yYjEaNzoLs5BpEliWSRc0gK4GercA5oLTIgZ0RW1AdZeZqmuiC24ydOBbV64+d+5J+/w+8P+r/SqDf+wen8fzDA+70OaRL/5hOP3v1/LM8fr9VrklQbZJrVdih7ZcpUoKUgUTZTliqBLkCdZ9JKkJdp9QzUGbiNNiVbZ2WgRXPEGMAz2Z0FllaiKCmsLFJkaXmB70nCwA4AqoV2JEM9NDRrmlYjZaIRM9mKmJkYsHluhXue6vNrf76Ofcdn2D5jHZZWXdJsSMvedUOjltKoxcRpxF99oYVUCl8alChtQivhJEnq84OvXua2ByK6UUg/A3hvoOj2FO3QoxaEhP4Ee7Yl/MaPLvKrfy74+uMb0EaSaptWjxNbaDaKNKOaLXcNQ0HNF4SBzWwGnikytp7SSGVX1dwAKABepjyB7Fhjcwn5d0+1wBRFa9Y/10VyjYzdKVZcC3Aqj0l27tOiCC4jtFSjjWD/waO1L3zxzv/zda95hWi3O784OTnx/y7AF84fxhj9wpNHH6wrOSIMrDRJZVnMozLmTCUoLSyLGwfUqUErU0gQ7TC0fZ496oxFjCnATX7gx75XDvC8BiPP5OXs7Xl53YnE96Wt3wgEtdDOPGmEKc26BfdEM2JqYsDcVJt7n+rzn943wxPH1rF1WjDbdKRJzaNZs/Ur9VpCPYzw/RGnFqfxlW2xs7ZcGWSmqSRJFJumDUkS04lrWaeMZjBM6Q4l9b6iFvgEfg3fm+SyrQm/8S/m+aX3wj1PrifV0gI8NcRJmjG5ZhRqapFkGKhCgvk++F5m0SppA35JJlNAZI9rYNzKFbKkEKJIDhXgzrLFJTGJqrxMS+mZr8SrgW0KDCSpIR6MuOOu++sXbd/xQvk/sePEPwjg+x//HFKMGk89emsg9BL1UBSZylRmS1AGdCUFqXL/UAt0rQ2pRwH2KrCNw9rGYWxTMvcFvpsUZRGVlCClKMCtZFlPbuUJ1HwIA029ZqiHVj836jETjYip5oB1020eODDkV98zzWPH5tg8pZhraibrglZN0qgpGnVBvWYvDpvqj7hnr6A3DKgpsovMavC8CSHVgjjxaNYUN1zZ5d4nJujHVqYMRin9gaIbKsJAEfhBpp+nuHyb5rd+/Dw//yfw9b3ribUk1jprli57MEeBJAy0Ze+sNsXPLm57J5MppYyTWZZ3LZDnSSHjALysaRGVAi5dZEdBpyV5rV61WWMVJyv8glNnV3jfBz4dfN9bv6PxVx/5bP8d3/Md/+sBvrJ4hMnprVNPPvSJP9Z6+BIlEwJfZa1lkEiTsXWmwXK9ndr3tIbUy5c00J4oWdplbQfQugB22RRMpr2LkyFsQZGQGbizIiNVABxUVjHoexD42E6gICuwClPqmbxo1UdMtgZMtzo8fHDEr75nmkeOrmfjlMdcQzNZh2ZN0KwrGnVFo2DvlFqY0GoMufORgJV2jenpMk2eA0Zn2jROFetnFa94To8779e2cSDSDsglNV9S8z18L8Dz6kipuXyb4Z0/fp6f/xPD1/etJ9Y2oRYlJit7tUwexrKoLgw8iedlRVhSoLz82FB8v/wizKWKyKvSKBNC4/cK0J14SRcrMuVqbUqWTlcBP2fxLODUEEUJnd7gJU/uO/zef/mjb/2p5+8/unLZ7r/f6Oa/N8D73dOMBvM/31s59L3J8DyBH2YuiSaRFlRak7klmSzRkKryCk+1QKtSZ1tdl8uQTHMbUw0kx5k7Q3qekSu0t8wr6ErdnVcMegpbn+EZfN82FtcCTS1IqdcSGrWYZm1EqzFkZrLNg/tH/MKfrOPhwxtYP+WzvpEy2TAZuDP2rknqoWX/WpjQCCMSPaIbhQgl8XMGLzS4yNgtS4DEPs1gaMsFohrTOciHKf3AMngYyKwmPt+A1nDVDsO7fuoc//GPNF9/agOx9hilgijVGYsLarEm9A2Bb3tXvSzusP2tdkWzxyfrys8fncKs4sJ0Y50xcBck5BCTrb3PVmFdSpPKc+PIFbfoK5c0RnDy9CKPPnnke++4+6FDoyj+pf+lDN5dOU5zYuv2J+//46ujwUmru7X1UxNh95SR0rKT1AItLdB1FmisuYRlo9FM9ro8YMJhijIradw1M2dtN6jMl9usQ0dlwZTnGXxlgR14pqgerPlppptj6rUR0xN9Jptd7tmb8It/uo6HDm9gbtJjrp4yWTO0MnDXa9ZOzMFdD1NqQcJEM2LvUcMdDzYJpMRXOgviSo8i/9vjVJFoj5ufG3PJxT0OHa8z16Bs5B2l9IcZC3sKz/OzOh7rXV+5HX7rJxb4pT/R3PXEHMO4ziiVRImhkdVwhz4W5F6+eumit1WqtFjhlBQOwIUDcmeZXAVyUwW4A+78vXHZ6YLbNRRKBy2rU89eGxQHDp/h81++/+p3/upPbD9w6OSxS3dt/dYDPB4cxwsmd6ycu+O/kZ5/ozA9fN9HpDoDlM1MSilIlfVCtRao3BlRogxEjMveOWM7oNa5r80qYJeyJGPucXALg1ROWYDb9uYZAk/j+5rQ14RBQi1IqIURjdqImck+y90+X30cfutDG3n04DrWZeCeqhtadUGzJgqv3Dov2rJ3YAFeD0dEacpwUKOm7EUmhahU8uWJFBtoelbLeyNGkWEQCwfgmiBICXwP35d4SqGkXwAcAdfsFPzWTy3zO3+d8PWnZjndnmDYlEylhlZiqGUTB0LfZN5/7qSYgr1zqZIDvPi+2ZcWxTF3As/spJQrqymDTxfsrmTJiSx1AG5ynV4CvciHZKv94sqAY6eX3/jRW76RvuxFz/k/nzx45ugVl2z61gJ82D2E8hovGLYffXM6eJwwaJKkKVJYezBncKutTRZIysI6KhIGDmvb9/IDI5wDU2q+KmtXVWF+Euy4h5y987oX4wwHsmWxvqezMRNpAe4wyMA902N+ecA7/6rBp78xx0JvmrlJyVwtA3fN6u5GFljWQ0kjNBmDW+1dCyMg4ssPByzHAbMhlXpsRHWFSlPb/DARerz8uj737IvoxiGTsbZd7JEmGNla9cCzAPeUQUkfIW2CBgOXbZP87r/u8Nl7Bvzm+zZwcmGawZTHVCBoJZpGAmFsRy8Hyg408vNAU4oiCM4f3UDdvTCFKHpFShYviMg5d44xUKk7z1ncuCu4Kezg1AlUk9w715CiuPO+g8yu3/jmVqv5V+3u4Oi3lMHTpItUzUvb5774b/rLD+MphRFpFpgYpLbVgmkq0Mqpx9aGtAC2KIFdyBKRsXcJ7vz9Cmu7soR8tATZKLesGz9zAVQOcGVsMZeXDwiy804CPyXwE2pBTBjEtOoDPK/PnY+kvPdzE9xy93oiPcH6CcG6mpUl1gLMfXKV3UXG3C57x3jeiK89OUU/8tjUyL/POIPnVpokThQ1X/HCywck2gJ8EAuGuRsS2ZFrvpdbnCoDos0+WrAJ1k0JvvdlPVrhad73uQFffXKWs3Gdfk0ykRianrEg97I4RJksLjEZyPNjKMracQmSksVdyeKekrwVbnUgmgHdcV1SXb5fTeKVr3NSTDIGj1OQyuNLX3uSm563+9/8wJtueuj1nf6BqYlnHgn3jAAfdA6zcOIWPH9687Dz5EvjaAmpanhCW4Dp3DUxpf0ncznipnrLx4Kxdamv81R7VZY41oNrXwkzJk3yrBxZVz7F5KucuX1lazFCPyYIYmp+RKMxJAj6fOh2j9/+y/Ucmp/BD2tsbAlmwpSJ0NAMoZl12NdDm+2sZQkhW7+SZiuBlScLnZReFBAoRSBNEWDi/Cl5wsqmtyVR4lP3h2ycGrDSbzGIRTZuzcYKvp9mNp/K7E6VjdpwA1db+fjGF/e4/op5fusDQz74+TmWkib90KfpSyY8W4MTehAoimYIL0/6ZCufLKRKmQBySaUqVtZicydBtIZpUNwrAC899TSrTS/1uEBIxbmFFe66b+9LdRpvPrfQOfD4vhNctWfb/ySDm5TpjS/f0V957E/77UdRSgG6nGGiNVpLpNYoaeWKGkvrlsAWRZ221uXJNjrzVwtwO6Wuzk1gSjbJsm/SBXjm5sgKc6cZyBMCz0qSMBgR+gOOnkv4s882+eRdsxw+N81Ew2emBtNhSis0Weo9B7fMwC2LpFAt095hYC+cieaIT3zN48CxOrVsAlfRLkaJ8mKMg7E6PE48LtsO33l9l/feOkuv4TER24E6YZTFDUrjeTIbW4cDct85V3ZVuGid5Bd/oM/VO0/yJ7fMcPjsJEtJnb7v0VSCRgb0QBp74WQuU7H65cc1tw+x+rzMdJoxiDsrbcbklWyz89pl9JytC5A77J1LlgLoRiCVxx337OPmF17xp9/7XS963fxi5xmlytMCXOshQoQMV+7Yqgf37/LEeYTvZ5GyREuN1BKtNUpLUmMfdVaBVmXtUnfnQVbhkLCGLMlOGDlj5yAXJbCFM0o5tyqta5Kzd4rvJbZzx0sIwxGBN6KbRrz7owHv++xGTi1OoVWdmUnFTGCYDDSNjLkbRfpeZnUqmTTJvPMC3IHNXo7iiAMnQ3pRyHSYuTh50il3JfIsrHFqUmKPiabHzq0RKhzSjVoMAkE9G7ITZPLKzySKl7seQl0geFXMTfb5yTf2efPNZ3nfZzv82cdnWRg0GXg1ap6i4QnqyhAmxrJ51pDiybK8Ic9yrmJyxhwWx75dxeYui+Os3DilGE5WNHWBbrIuo1zOoNh/psNn7tq7S4XB1re99nlHB6MR9TD8hwE8GZ5GqKk5IfyP6v4dfi0AbZLiQGojMVpanZ1KlJFoox29LYruGq1dBs+BvZq1x0p+isNW2oHlBKyKPJFZlZxKLcC9FE+lBH5MLYgI/Ij2MOJrj0o+dPsEH79rlmHaIggCZgPBVKBpBoZGaGgEJbhroSQMJWEmTWxiKHMmMoAHvs18Hjlj+OoDDaLYJ2yaVQFmQRyFBrdEEMUK3/d4xfVdPvzFHvtONhnU7LyXkW8IEvBjjR9plJLWt5b5QNISWBWPXUsaoceGqQH/8Xv6XH7RiA/e3uL+vZPMD5oMVYDve9Q8QV3abipfGcvmuVQRpVQpA88q2bggL74Hzvl0QV7JfpZgz0GemgzkxsqSxECcsXhsIAW09Pib2x/y3/a65330zHz7OfPL3fl/MIP79ZZMho++IFr67KRgiO97GJ1m/Y45S0uUscFlydoyA3MG+BzQuizBNNmI5EJ3Z4xdzU5mR0sYZM7kRUpZF+WeVncbPJUPDEoLOeJ5Me1ezN2PC/7i1gluf3CSpXYLWa/RqiumfMNEoGn4hkZgqAdkrG2Zux5KaoGiFghqAVmFns7ArQl9q7+VN2L/STjVrtnESqZvq4mTEgC2D1JkToEkijw2TAgu3TbgseMJ/dhnlM34DiIs+IrJunmixpYlV1bdXP5kNmSc2vrwt79iwGuev8yXHury/s9PcP/eCRa7DdoyoBd4BEoQSEEobSO4J+0udUqUF6kSWdnvWgAfpyTHICgliqhocIMFtTYlaycGYmP7QhMDiePE2I4jTRSn/P5ffXnyX7z5JS+48dpdt/I0w4OeFuCHj58O0fqP6r1HmpPhiFSnlpHdvscM5Lp4FOUFUHwuivpit9bYOFrbFP9X3soDWLJ1weCZ1lbFuDc7ESvI3QwZM99NuPMBj8/d3eLTX53kfKeJqNXwWz4THkz6tpOn7pPJDqgHIrvLrOQ0092BIMzZOwe4lxAECbUgwpiYLz8YcuxMnXUzAl/qTMeKstHXYbu8/DTNJMVg5LN9g+AV1/X55DcierHPIBbUfEOQWBYfxcZZpVThVyNkRaaYfOXMGxW09dvr4Yi3v2zAq65f5FN3dfns3Q3ufLTF+XaDgQgYBB6er/CEwJcCX0p8YTKpZVAIRxo6f9PY3+eeSzefUZbfZmycyxKyRpacqQtQ58t71qmlUzAJOk04dOiR5q5Nz/0jzxy7HBj8gwD+4c88TKBWuGHXMjddG6P7Xta97hV7U1ogZ6DPQV45yGIM0CXIq7LETeGYyoETDrBFvsOD1AipCzkSeDG1WsxwlLLvFBw9rfjIFya59f4Jzi83wa/hTfg0lKTlG1qepu4b6j7UfAvumm9nEtoyU+ncRfa5yUCuC5AHvm1PO3Ra89iREHw/W+aNk6KvpgXdJTvNmwJSO875qp0jrtja46lTDQY1QSMRhLFhpMisPZ2xd+6m5BZkqVXcstZUS7RW2fQBn2HkU6+P+OHXjnjDDSvc9kCPv/lig6Onazx1qkG0EpKEHkPPQyo7ulqR/T5hN1YtgtD8/GBWs7kpVytjhF2xcllCzswZmIvPclDn/aFZ+tukQJ4NShGDhHW1s8zWHp6amvnR71/umvdOt9ZeTi4IcGOeEnHU+zdfuu131t35UIiQ8MJLY4IwQXoxOpJEkUIbVbBFDngzBvI1AV5sUeL63FQj9XyUMjapYSWJzqbPpoShnaSapClnF+ELX/E4dLLOHffWObVc59DpJoQhquFR8xRNz9D0tHURfDs4v+bbcW0WxPldZneVAZxMc2fg9lNC37K3vbAijszD3qMNfFm1BwuJQlkPXroJudOU9zT6XLF9wKXr+zx+OKGf+LRiwciDILEzAZUDcCmz3leHyWHMhstlUN43mSri1GfkB0zUI37w1SNefHWHU8sdvnxfwOETIbc92OD0Yo104KOlRxwokPkuG7YrX5JlPKnWA7lU7q7OpRWcSxYL/1UsXdwzUGtjW39ijfBSpEp54XNGvPR5MX/4N/umfuQHOj/r+9H7Vq//zwDwhx/6DGmafu/D+xaaf/jhCT742RZX74p46fVDrtgRs3nGcMmOkdXfsXJamlTB6gXAEaBLtyTv/XO/UpmyoHBNXNYupIhK8cOUODUcPiF47LDiC/c2ePxIwJNH6nRGIaMoBD9ATfiEStBQ0PA0dccHDr28TiMvm7V14WEmS4JAEQQyuwBMqb391GYWfavza0GM0RHnliQjE+J5kkDaCV65zTZe15Gf09RU+x2jxEfgMTcTIdWQXuzT94R1OuKyYMxTupKBlLlJDZAPO6KUh3lrWT4YyU9VMX6iPwrYOB1x0YaY5148YhAN+OdH2jx+NOAL99R47EiNw8dD4sTDhAojFQhJKp1skJvMH9cqbnareBwDtQvuvG7DWFB7GHbtjNgyE3PZzpibnzfi6l0xUxOad390H1/48oeQ8sIbdq8J8P/6vtv46B0r6msP3Csee2yOcyuaYwuGxw/XuO3eBpO+5qKtMVddFvHq60e8/NoIjG2LqjfJJklJ0IIktkDHYXD7t4+PLbCAJptf4nsGhEZIQxwZ+kPL6EdPSv769pB+rHj4yRoHT4Qs9AJGaQBeAMpHTSgCKagraChDTWHHmams8EhZ1g58YZMeLrh9SZDJkjCAMCBzTWzK3Pc0gZ9kGdGYei3i/HLKF77eot0NmZ4UeFl8kBd9rRWMFTU3hRaXjEaKdbOK19ww5Lb7BxxvNxn40soUD/zE4Me5Z53XAKXWLsSddSKL36GN5/wOC/QgVaSeIvEVceoRx761Uv2YZhDz4qsSXnj5iDe9dMj+E5JH9voMIsUHv9DgyFkfhKQ/8EgjVbRNGY8yG+SivALw3E0oq+pEahA624TAGOrNFN/XCKN5+XUjXn39iCv3RGzfmjDpw7oJgzA2MP/3bx/QiR8TM3MvUj925uPJ5Kbv/uYAboDpicl3P3VUXXO217BTeUyK1pr5nmZea44spXz9Mc1Hv5AyN5NgtOa63TFvf+Uw69aAuUnNtVdFNGsmA73IyyfWMANFMZyn3Rc88qjPYkdSr8G9e30+c1eNYawYxoozZwO08IiNjxY+eB4i9PCkJFCCmjTUMmCHyhAqY2vAvczz9UrmDvK+zALcKuvRFAV7B74mCPICrbRg7yCIUSriKw8pPvmNFirwrN1W0d8XZvDcC0/T3PFQDIc+b7hxwKe/1uGDX56kl9RoZjrcz3V4nCdlTNEtJIQsAGZ/lXS0vgNwnY118CyT+54i8Ty8JLVAVylK2UH607WEG/ck3LAnxogRb31Zn2Fsx7n93V0h9+0NqIeChY7ikccDOn2ZqSSx5hkukwA2s9msaa69NmbdVGoLsFLD21854NpLY4yGuRnNzJTBw64UOpVEw1wOK7sJVzi8RgXT7wZ+8pti8DMLXTbONid+7nc/sSeOYoUXZEU9KQgNys4f0UYz0ppzbc25FfvF9x/XfOYrdqkxqWFyWvOCayJadVtCuWZ60r3UM9dhpae4/7GATlshPTsPZWQ8y0zCsw2f0gPpIaXEl8KCWRpCqQmkBUKgIFDljD4L8nJMst3jRxaNxy64LcNnZbV+zuCpc08IvRhjIk4tBESjGuGkJMjS3iqryqtkMUVxfkuXqQC5JNWKKPaZbim2rYsIxJBBEjJIBHXPDsHMa0jyhJaSbnmrLH6X/R25navL7KnWWa1QKY2SJM3yBirb/yghTlJUbHMJnkqRMmHrOp2tGJrLLxoSmQHS07Tbgvsf81jp26aXcTFePesGkQWUzZrhhdfETE5rTGJX+bqyx85+d4VOJJEec+6MDZy1BqEiFYiVPY0N/2JCJ8sd6U0/PcBPnl7g/Pzyux564vjLzvVGCM/HYMB4pU7KNZPMdZRdbxMM7VxbKUNnxXDmK03nT1wL4G5qLDs5wvrqeHZLbTwJwmo/ISRCyszKykGdpZ0l2catuW/sPHpZJ70i23qPAty2rUsRZOAOPIoSU8vgGYt7miDLjvp+TBjGnFjQfOC2JngBvhRlgFnIkzVqq53kRz4k1ILNDtaJYp93vGbAp+4c8OS5Fr3Up5HYTWltFWA+4xGEynMClB61KGMce2qkU+CV33VRC+N5Cj+181L8DOhKlkkzWzeePS924kjxhEGYlHUNzXe8SINIM5mJJcM1E/qUGWojQCt07JGXjiWxIEauNijWMC+0luh4iF459DKvdfRdxiQ//YwM/pcfuR2pZDB/6gxTHsQCIi1IjR2JVka944/aMUCz95Qh9cvcVvm5q9FydnP0W7HcWjDnLWhKgC9sWjkUVgrkwzvtY95U6xQSeThzUHLWLrvqS4DLQraEgSla2oJAO4NzEvyMvQMvRsqIY2cF850awvMIJRV5It0/yzndrnSoAC9zOqLEZ3ZixPaNA546O2KQegxTCFOBnxr8JNPhCYWzVKbQlXM1ieKQW/s2bzAQjjTSeKkmVRLl5duXq6xYLUUqna0UurRmRTkZyz5qxMggsvdyg6BwworcZgaDIg7LvmPhplWt4zx2yxODRjv5lQzgSQqD5Xn68WeDtfI9qwD++L7jSCEY9AfUlMHH4AsnhZr9stzygdz6cYMIh6Z4OllC1pXjFNYLgaRMEdupVOALgy8y0GYSIH9evKeqIM9HRHjKbi7leeU8FAtuaR+DHOh58JmBO+/+8XQhUXzP6tMgiEmI+ezX6pybr+NPKgK3hsN1UBhTpI4GL+vky6TPcGQn2L7+ph5fe3RIJ6nR9zzqiSbK0ulKlgVRecGZEJqycygPNMvkirUOs5kqBlJlf6enBYkSeKnMdrGztTxJBvQymZYHzxmL5y6X1MgsfrKeeA7u0hVj7BhU3nFKNPLaJMaSgVUmF8XmWnaw0JC4c3hNrFUA/u4PfIHJVu1F7//4V6/vR1bfSQxexZAXZao5P2jO1afX+DXF+GLnbypOQ1HXTeatgsLabHmaWInytcrKYvOOHa94FMUoBBfYxRwUhe1HXAvgecCZ624vlyUm09vVWvLAjwn8iLNtzYMH6+AFeJk88ZwCpSIRMoZwe9LK+umyL1UWnngc+1x3yYjZqQHt5Qb9RNFQ4Cf2b1GpsffYBTgW5MUvkg4b5uUSpsw4K02qBb7OurCUJlWCJAO5W7xWBbepALxYRXKQC9fuNY57OMbk+StTHpeSI8dzJs7fQRXsSkSEDXn95MbXvGjx5M13z25949oAH45iMOY7ktRcOxzF1EMvA6jBI19ancL2IpgpQf1MAHfHEuTAtrsLlwB3R64V+2Q6JZwuwJUoSz1tc3HeqWJliSq6V0pg5823lr0zze1R6O3cErSMXYLbL6oTYwQxt9wV8rXHW8jQI5DCzt8uKgjd+SxuHXV5covRaAWL20Az1YrB0OeGKwd854u7/NktLaI0pJdKaqlhlM1V99wVQ+hMzumxC+pCTA7ak1kjsCjAnSqJUtoyupTZaAntlCLronozL3QTopRJRe7CSdTl4H662pUSK6LyvFKjZEq8ld1dAswITHqtTnrfYXR895oM/sj+U6ybbr7mf3zgSz9w6MQ8oS/xCilXptHLX2BlybgieQafpFq/ULC3KcFeAXq+G0M52iBncbsFSQl2L++gV/Z5hcWzbhhfVcFtxymMMXfWsxlk7W2+lzccJM49JiLmb748QWpCVJG9dAPMsq8xdzYqGjzbjbhs/pC23S/Ng00Pgc/bX97nrz47YkXHDNIag1TgJxQsLqVBJqIoOrN24bgWlZTWpFPwpAWpZ4qe2VRpUs/W83upLEbtKSWz7LEswV1YlG51Z1nGnO+kUQF4cY0/A0ocwjRryJj88/yCkfik0VmUWfyBic1vvCMZHrnNq+2sAjyOYgaD6JJup7+r2+4y2wrKgKH4ZabCyO7XfFoH0PkyBdDzL1eAutqloxwGlGK15sxB7872UEoUWjwfjVAZdpMB21OidFIKO9B23NvGZJMxdxlgeg57h37EgwclB07XMMpHSUkgdSajXIlSCvBVpaXZvRyaIxy/2oI8Tnx2bY654uIe39hfJ1YBg0RQk+CnBi8RtghKZF04SabDkQg01V8pHBYXjjRyOmqy+ZCe0hm4s3Y2ZRxwZ7VAys5+L2vyKVYPF+DVoLMkzGckc6ey1P0b1irI00Jihj3iqL9LJ9ElOk1uyz8vAL60sEQ8HKDiPlM1a7dVvtTYL3+m63A1wHP3xKntxlnKWb2suzIlt91KXS5s97wowZ2zd94t7hXglhWAu8N/bLc9BbCLbGXB3CmBZxM7tisoxhDzsS83WFysI0LP+u7uRTheg+Je2Y5FWGSlnTruwpvWdguQdTOSt72iy4MHJxilNfoqoJ5aLZ6XsypJBu58rdCZJ55HS5bnKjo2a/gen0pl7xKl8xXJFM8twO2sc6l1dn7K2YYW8G7Nfg5mZ2KWg6lnlCxmLblb/Y9EJnEjXaPT1fjdZdK0LC4sAP6BD30KpSSnz60w3ZAgzNOwsqkAXKz5aflZpew1e9MNwEqgmwprV+acFI8lY0uXwZVwWDwftClRXhXggZcNAPLzrQOzDKdn8ItUvM6ep5W7p2znzpPH4KO3txjJACVVlr2sXojjGcwLHaPCSak0Z8ts0LxHmHq87dVD/uLWPo8erhMrn76UBKnO3COBTE0xaFQKY9vLhCsYdfa7qvsWuUyeajvGWucsnuZjJbSVQkXfZj6XRRQXdBFoyhLMazF4/vqbBvgzgN29pWmdkyeOcOrMx23a3wX4wSOn2LVjc+Pnfu0Pdx49uYinuKBHvyaKK5fUGm+J8u2yedVUwO2mtVcBvJgzuHocsnQYOw8y86lNnpdv8pppbzUG7jx97+eNydrODClaxPKeziS7xyg/4sApj24UgPIyeWLGymNXr1DjVXZV64tqKl27iR+Ppi/Ys2XIowciUh0y0AG11NZse5kGV8Ju5GoTS7kE0FDU/OjiBBUZzqwexisGm9r3VDZb0tNkHUTGNpdnDcn5dK007+4vDADjkJRZBW4oAV4F9zcXgF4QitlqhIhptaZ3XnvTzzT6nR/rNya2WIAfOnqG8wsrr55dN/vzK50hgW8PklmLor8JXSLG/pvKUr0mc68lT8o+xnJ2XiZNnDkeFuSUNdLKAXXxPEvyKDIv3ILbArgcCuS78sRlb5X1dQYRS13N//jbFouDGiL0rTyRprKqlINzeFqtWbRzZeOIjeumZKn7JPGYaHj8zFu6fOnBCRZHAZH0GEhJkPVQliMf8oBdlPac0EUZrUFn4NZZ0s51VkTG4KaY5ZiDXUmRMbiVRKkspYmUpphMKytB5hqPMCZXcoCs9sn/XgDP/l0l+kxNTf98e+HJu5Ok/ynIGPz+B5+kVgs4fPgYkhhfhd8cktcCtvNCjD13/7AKuClB7c71lmJtYNsgs5w/KFU5fkw5oPakxMskiVcAPNfcuggqfU8X4Pa9vP6iyt6+igmCiI982eeJQ3WQPlJKwrw0djxmyK9oIdZkJ7dXsZQpVGRKomW2yZPPVbv6vPHFHf7i1hraCxnIgFCKIumjpCDOdS+rmVy4TO40ers1MVqBMnZV0EZYcOdTwnS5/YyUdsUQxfhltwmcchSz0/lTuipVkOevL4Shp8UYVZkcxwmLCydItU+a2o0hPIDplk+tFjDZ8Ah9W+uw5pViLqybVrF2/li5WsWY3hYVNi+1a257iQL4OTuKvLPkggCXJcCVU0PtZXUpPoUU8VXplvjOcKBSc1v29j07tWq5rfm7r7RYaIdQy9wT4QRjF5AoOH2M7llZ07bLLUNtq+esm+IxPaH4Zy/r8+mvDVnshUTKY5DKzJ4UmXsjymZsWU2ukLF3/pYu2Lzsl/RyZ0Vlz7NpwFra4amWvS3IUyky3S1KJyVfdccADqZwlNaWLM5ICrMaS8+A+cIyjGPFKKoxShqkia0R9x5+bD/r52Z2fPEr9/7s0RNnCQNVdGqv+QvE2r/WuSAx44yd/V9Vmojiis4r7ioSJSvkLyRKPoxGigLc0mXtTI/b4e5UwZ3vbJAzt3KYexWD5+MmypETnrKZyyNHBfuP1dCECOkVzbll9aAbPwjH1SgPhluLUoAc4cgTUTgZRbtZ6oHxuGx7xK5NQxafqmPSwLJ4KrKt0XGCvjy4cwu9MsGdl9FCVjwnnOATtCznlLixjcqALrMZ8HkcVBoBopRIGejLVUQUK1rle0HVMqxIOnsRrDIs1gB2+dqn3znDxi2X/eyWPTc8vHR+/1EvSVL6g+HGONGvOXVmgclWraodxwB9oavLfWtcY62SJ4U1KEqAF3dRBJLu8xzwLrCLR0U2Ctj1wd17tqW1csHtgDzbr97PSkNz9lbZa8+LUSrms99ocWChDkEpT3zHuqzEE6weF7GKeQr2rNZa5DMdXS0eRR4Xr4t4/Q197nuyAdonSa0W97Ot0WXKGlo473HNXYMM5MY4EsWRKzJ7LrNVReZ3u5GBzDR6AfQc3DqXJyDSTG7KEtwiY/ay7siUq3qFCHPAi6ch1OrPlxhTRKMFhEhfkyajjcakR738UhCCzHUoLbwLLhMXAvgajE3O1g64839DZj/oam13SE4OaLEGsAsdroTThOuAO5tPWG7bwWpge+WAoGLEm6czkCdWnqiYeiPiG/sUn/pKk8EwgIaHJwW+qEqT8QBzPPZYBXDG9PeYZej64nHiMdnyeNPNQ279Wp979wWYps8gDQkExYWmit/v2nI5uEuQmwpX6vICU5bNU2n1uJZWm6e6DDh1ob2FszOEEyOR6XMtnO8BInVeF8AeDzrFGKNfIBYs8JVfCLl7I538AnhpGpMkMZKURlaXUfyyCxnd7luVZUWMAXtteYIDgnw5r9qEZZq76Dt0JEp+V0pkc8BLcJcgz8tmDZ5XjlD2sk2YPFUFul+wtb0rZQPMIIiIo5Rbv97gyeMN8H2EVBmosrkhbpf5BaoIK6uiy9pkU1nH5zjm9c6OXRhFHpdflPDam3o8crTOKAlIpc9AK4KUse+Se+GMMbh9NGPfBZVfbBqtBCovdJL2Ucoy61nEPhKkMeVKa0BoC3yhXbm2mtxcLMgLeOM54Mu/4UIgLC8Yoz1GI0MUJ0RRivfJT30Wz1OsrHSZaPoIKUp6uRDG1wgmx4FduSLH9bcsv5ArTSp6zgkwi9kiFWniWIUFY+cALyenFhIlY27L2KZgaq94LJ/7WXDpqZgwiHj8mOC2rzXoDwJo+kiRVw7i2INrZDHzv2vsaOW1KBZdWWXhGuWz5VwTVXT7tFoRr71xxKfvHPLI4RC8gKGWBJkWV1nTVVkXYiUDGcuSumAvgW2MXfkK6SItm+erSq65tbRAtvsv5VIknzA2Nn45Cy6LYyGrccE4+VWw44BrrQUw/7lqMlKQpgF79z7K4SOH0TrFG/SWEVKSxBG1ME8AlOgev27WAnrByuNgd4E9JlPWAnhFojiaW2Qgz9PzbjZTqWw3h6yi0CsKrixbq2I++Bi4s7ufT6HNCvw9ldi7F+P7MYlJueXuOl99vA41D6RtaPbzNLkLasbu7os1bpVRw+TlrBTNyKnJ55qUQB8NfV56VZ/Xv6jPE8dqJImPEYqB8PBTiu9U6OBKPdHaTF7+foNSOXNbNrev8x07SqBLWbK51LkOzy6sIvh0z7HJJMs4i2cX3hrgLr5zhhezxqEsWw6szEtSSX+hhxARYPA8XyKl1Xmessuj/OZ7FS7wXKy6KsvnJaPnV3/J3qICdms7ZQyuSk1epumduyrBne/qUNy9chPUHNC+A+rcObGOiX1UKibwYx4+Kvnol1tAANJHCIVfJHdMUVxVzcaKYvXK1rAxgJXkUdHh2tHgxm4moFU2+qHYJ97DGI+3v3zAF74+5P5DdpJArBX9VJR19IIshS+K9aJKUFl6xBjL4g7Q809VBnots/18HDuzSGoZSnmSr7jaAXXF+nXBW25gsErCkscOJdKfJtYsymctwCHvBDMYvOHQ9tHFsU3lqjyKrl4jq2hbVF+uvcwIMcbkrl20xk4COaDzZa+iu0u3ogLyjK3LzaYsa5cD8EtwV1jbecwba3OpolSC7yfEacId99Z57GAdfB+kDS4DYZzJsQ6Dy2osUSXvKrSM86RogHBqRCrVhanMNhaQpKnHKPK5cteQl77AsvggtSw+EgFDDV4qysAvzWVBXpTv8mCZrR63LpUEowzSCJTBZj+NQBiRNQVbIpS6jD1K98uxSvPPs8TQmit6jhFnM9pK5uAZAJ5/5/yYhqGtDDVG47mnIde+xhU2eXKgcp7czJN7hYkxkOdeqKvDXY+0/CPtlCZ3j5jV9ScVYItyg6mctV2AlwzugNsZil+4JypFeQ7AM4kSeDEHzgjef2uLUexDw8/kCUVrmnJ3Cc5XqWK1GtMsq85IFeiuTMlHS5eOyrgW92iGkh96bZ9bvtpk3yl78aVa0U+VrTJMs+QPwurvNBvLkZbsXZ7JqlSxgLYXnMw0utQGk50jIwUyky1FrJQzuXYdsTHjQDsXvgt2R4aMk2QBuael8GrxGhnZGC1Qf/xHv7ehUff/7xMnTlxWBAVSVOWBe3dYVo2/5zgerk+t5Nr/lpt5tGWYIpuH57giatwdcYPIaiDpeaVjkk+AcsHtK4Pn51nLtOKg+F5cNDP4XkQqI/7iMw3+6rYpCENQNZTyaChDXZlsHAVFg7PvtMaVmVQ3ESUpJ8NSCVDLWKK0HfOLVkiyxt+yF1JJgzCabRsjTi1IHngsIBF28oAWdsSaV5CIC6Tx5V4UyCiEjCGbXeNIKeNWj47pdve5yQZs5u/lDo1hdbyh3ffckoGs39L5Obc9svLfU9a054OUUg2jWLBt57Ubd19+4xe9QefElC97r/NVgtv58c3cxiPdVcZ9RY+6skRUdZnjoAiXtV3mFmUzr+tc5Po7lyQue6tipwdTAN1X45IkrxTM2TvG92L2n5Z8+EuNbP6KZW8/79zPf7+gMl64qGl3iNtl9iI1txY4tHuiy7mCJpvQm+aDTVNFqjItnnp8zyv6fPKOBntP+iAjjJAMUx8PUaTPrZOSndTUGW6KqfjhKqc/7GysHAvSeSzuOWsb+ztMtm2k1FmAusoKrj6HKsOvMiWcK9El73E2N1lq34jyYun2Rpw4tfy6ld7RKe/cQo/FpQGjSKM8VSwXT4/sam1F9Qs6LLFKmriPY8VVY/ptXJrYibK5THGe50DOq91yDV4BdylLVPZcKY1y/G6l7N1TCalK+MzdTfYeKLW3ENKOrCg6aFjzBNrgueoWjZ8kU3lebUCueOLORCqv2DUj98etVLn8khFveFGPQx8OiVIFwiMVHgMh8NLMviMPdI3znYzzDUQBFuvLCwv2DDX5d1QuCwtTpvgFaGn1us5lilOX44JdZETgZrBX50nGnZSx589wCzxo1mKa4QivO5D0R7bI3XcixQvIxgukV/PnbkTs1kGM/YHZBbIKJOPMPcba+euCtTMW9xxgu0BfDe5Mc+dbnEiNJ/OhNhbsvh9z+IziDz8xwVBacCM8p2t+vAm62mpXPTAXvo1vtmUyKteVlL2rwbO5KUqitCLVHknqE6YJP/3mHn97R4NDpz1QMWiPWPgMhEClZZAn3WBzDOS5N5/bhfkKoxEo7LE2lAyuMhtRmmwVzlldWNdFGlMAe9xM0Dnwn4bFcQ6l+1w8zXHND79SgkbNo9X08Sp62vFpxBr/dSVlIVZ/tsoOxPnD8ueVKLv6vMrY9qSUTbym7MVUOeh1aREWjbA5uJ2gUmb3it/t3KWVJ74X0Yk0f/bpCU6dD0FZeSKkLK1BUV6ExfPxE1XIlOr2gRcEOq4WNWXZbGEd5oN7HE88VaRSkSYeW+ZG/Pgbu/zW+wPasQ0IjJGMtLK2YZp/DwNpobYrIDf5lxlb/0sNbVndyNLxkVnPgM7kihFWnojseX4s9BrnurIHp3vMBGuT53jQOQ5P5+fyHlOtbcl01hygUEqs+R+5//T4EpK/N77U4IC68D9l+XwVuGWVtYXIWbss5s+BLTP/uZQkuVWoHS1eAtrKEUeiFFudJMWjp2K8MObjt4T86ccmGGnfyhOhkEISCMqm4jFLrKK7i4t9bH29ALhzdJVWoavP85S9QWtdZDeLFL62W4HXvISffGuP/ccC3vcZq8VBkQrJUNuAU6YUDF4WYOUnq2TsXKLkK4wypWSx1qDJbEKKgiwl7WdamIzRDUZkxVYil0b2d49rcygBv1ZWs6oQLoDLbAXJb+6W4F6jphjW7E4GUq0+EdV/7OmylaLypSonXo695zK2K02kqTJ5kf4d2+JOljpbuaxdvF8F9zhrq8wOLB/trMGlZfjbLzVYHuXgtgD3pdXenqjKk+qqIyr6sgJrlxQZlyelVVip6ss3y9VuKa1TJy6tVNHaI0k9JoOUN7+yzyfvbrDYVSBj0IoYq8fzFZEccOMIGYsMyOUKdhAT7gWYSRBpbE14XqsicuALm9IXBsZX67XAjhDZJgersVSRLFRfs9ZrYJSN2w6GtmfV6XOUuEvWqqvH1dprXGFrRsisBvVq9l4D2GJMmiiTjStw7TSHxYvhNPk2H2YM3M4ubK4ez52TRsItX6lx72N1dK69ZdZzKXJ5Uq03KaZJOeyN8/e5VvjaJJ6xZ2F/lRJlvBnCuEGnsTva5b54kvp4OuGFV0V85/P7fOCzAagIhMQIwUh7tswhg610mLv8ag7IM2tQGeFYfBnB5LUzsgp4beyxMRLL3qaMTfQ4yMelnMvs2eu11IKLuwuTcO5AGYw2eMORZhTp4iqsKu2xK2SNAGAti6cSFa+6gqFar+AGl6YAfHnRGSe4NGWQmQHbBpm6ZHRV7rhWgjoHdppp8UyiyAQl7eD3Q8cl77+lxdluYMNwaQe9K0G5Y8NYvLD6AhYVwI+z9/itkuhxmH18w67KXqNOnbiS+aPd/mRDM+WHv7PH3Y+FHDonQcSAQiMZCllsIlVkFnP327kKi+pGKJ7nlYXKgJF2MyoL8jJuEKKULEUWNf89QmCkUyYry+xqKenGGNypCy+xZsYAvRZWbT4mDOx+S16ZeLHL71pXRAXQq66qsUBhjM1LAJhVTF6C3FTYvCpPjOOBl6xd2IUZoPPAstzqpNTbeaBZ6G6Z4kkrTYIgZpRq/vgjE3z1wbrtbZOe1d5S2q4dUc5fKb5rZZNULsjkLs7dw7o6g1lWGZbbXrvls24ZrW03y+3CNNUk0kMlHi99bsRPvL3Df/rjgFEibQZKS5LMVckLnux3y5kyq23MLig7Fjv7WFqgq9xKJGN3YVcXKY11VjKwS2mKANNkF30ejBbHyZTAdwnCJcySKHNZdWGyreLUFDU9xgi8ek0wqtm52EqNkc74UjDO1Gt+oSpTX1B3O58VdqAD8Bzs7v7zLovn9qBUjizJgS2d5xX2TrP3k4LB/SDhy/f7fPKrDUaRD3Wv0N4Fe7sryRiTj7tElcQXOTutTd9uYVO5b6gLbjAqrzKs1oqnWiJ1tvmus5NavZHw5pcOuP2rA75wv7K2IRKEJBYeg5x8CgbMCrK0cQZVlnIlL7qiCDZzGZIng0TG5KCFlTX5uasCnSprS8eXXwtTznMXZy4uL/Q6ijWDYcpgqPHy1Lfv5VfhOOWvweDfxFV3QXni9g06r3PpUTD6OIsXgWaVyQsGdwHt+Nwl2Etwexm4Az9mpWe45e4G+87UrDQRtiRW5Npb4EyQWs3aq7RlBdBPo09ycBvKhIorUcgTLGJV4me8XlxKhdQpUnvEI4/dG2O+88U97t0b0I6y9Ku2ejxCke8DIcm8cbeM1pTfPU/u5H9KRbKI3Ekpdbi9TkzmkZc9mroiVzJCMKvBXeZMzCoyXa27RU4LlcNsDCSJ3RIlSTWezhKXnr3IV6fpx0A+fqXhMLUL/KpEWUueGOfnSkALUdXdxVgCVUqVHNjFFt6FRajHHJQygePJssdSSdspr0n5y8/W+dNPtDAilyYue1Nq74o1uIY8qRwTB+RPw96VSj6qXnhRF25Wt7KVGU2NTiVaWl9cSU2c+kil+ck39Tl42udPP+kRJyXINYKRkCidD5LIq5PKxxLjJZNnk98ssLESpfjOmYzJyy5MpsONtIkikT0vq0mrbWtFzbrD6iXe8u9W2oquLeh+xRzgaVpKIm+iPiIZxiilM03lXiXOOXLAWgX3eKB1YXkiyEDssHPO2BXmdgfLCDMWYJoxkOtCokipx9wSZ48ZxxJUMsYPYg6elXzyjia9ng91uxek3Q/ScU7WaEurNDiMae9SpTxzkqdkcAf04GhxpwhJ5/UeDtClk7rPAk4p7UzDVjPhTTf3ufWuOgfP5AGWvadCMHC/aQ5uY0DZGeKQAzdfTex/rUSGJ2HQ2B7QsiO/PE4m1+jZudWZPtciT4yVgWXhh5sqngpLM/tcF/8dFfZ2j7EQdipBf5jQ6cd4R856tFcUK13BRPNCmrq0kypMtSa411p68jkZazO2m8wRztxpl8VVRX8786qVKaRIud1GinTkiZRpyebS1p6MYs3t9zT50kN1Oxxclr63LKSJO39bVEBerlbVMoQcN+KZkF0l9CrQ3Xs2fS1ncJNtRWJ1ty5lipakQqFSjRaKeOTxymsjXvnCASc+5zPS+RIt7faOeIyElRtSU8qUHGWrBjaYgq1V9pbMcvcmY/M8g1kCXRT62waaZapeOgRo8hWvGPVWbUguiVY4P+OScLVqcqql2LMzYNPGEG9u/Y6VNNa31mrBd9kZ0KLyD7ssdEHN7fzSC8uS8mqVlQCzytrC1d3CjgVzkztS5EB3tLcbXObuSQ7qPBUvE6SynToySLjz/oDf/vNJUu1BkO/alrH3WFpeibGL0ZEta7F3BdxPB/SxZM8qmVJxT8rZgUYLtCgdlSIBJK03LrRHkmiCIOUXfqTDvpMed94n0YHAwtMe/FgrBjlwii+UIzcDtbOiqFy+5EDP2taUtJJK5IDO3RfhyBbnGJKDWo5hJQPXOJ6Kb+hKYXIdXsWa0VALAxqN6Vu3X3TxinrFjdt6Ol48FAb8hNaJM18vO4FrlK5W5MVYir14rrKZ1WPZyKJBd6wGurT9nCmmYxWCciyJUz664C6LqZSTwVROr+XJJcFvv3+Sux9qQs237J3dPSmoS4oNpfINroodFVbds/atYkhOdRiRytq9pBprmHZ0ffnabeCtlgS4CbAyUB+XeaZYAYWw2/Wtm00IPcO9jwasDJzagizMzKeIS1wglWJXVK7HUtbkF2Z+XVRDN+FevxXpVXzmWqRUN1Yo/01RiVOK35MnoNb42STVQMChY/M/fNc3ntjnhUE2tBxNGluWqGSU1ohkXSkCLnOP625n6r/rrEjjnBTHInTG8FaCzFymiNzjHmNwVXVKqun4JEvoWJCnQcr7Pz3Jp77SxNQUCFVUDApRFlV50lT7G13tXdzdDnFHs43fxt4uT3aFyEuZgsviJRjcDh+d138UutypUREKqTWp8JCDlDe/bMCTh33e9R6PKEzcpRejfUa5ptJl8geZy5SywjDPkyAyXS7KwFPmuBN5KW02xmGsYtSsCjDdINPV4WvLkaeTyWADzJFISbQdbuSJvFMksWBWa4C6Al7G/9G1gsmqBLFffrUsKd0IU2El1w6Uoqq9XefE1dmq8LhLvS0zzS2d2pMv3Bfy559rMkyzKfgiv9tNTIuak4ocGZ+a+kypZ8a4DtZGfva+yRsPxurCM7vQLaE1WmSpcQfcubMisw1TZbZRqtSk2iP0NT/y+h5ffyTgCw9ZuzD3xpECbTxG2nZylcUkYzLF0eUW0KVkyS1DRO6RW09cCsculNUKQ2nbhgoJkymQ1RI3ly0V3DkBZpGDGAtGM7LwTpzNElZCEGZjhssiKLP6pDkuSvlL1tDhY7OhrV6tArsc2pgtu457UgG60KVkEaVzIgvWNk6CpwR2eU9QXkx/BL/53kkOnwoxXrlbcu5724YGsm1BVjN3ZTSE+xwX0KKC3acT5MasZnJXj5fFV9Uxa5XalErFoUQLRaoziZJqhPCQUcrFWxJ+5UfbfP3nQrrDnLFLKaJRjIxtixA58hyQ5yfbWoTZ95bZmAthCvbOmTxP8OTFWDmjC+ez8tFhaidpVr7nTAVw2B8cuZbPblGCdVMejbpvB/nPzMwhpCIadYmH80gliq3wcqCuyl66V1iF1U0V4AXTlWPEZOUzd5cuiueqAnbjANp5LtzkzVgyx2FyKa3uTlL4g4+3eOipmuN55/JEZpvMGqcdzVSCy4qHv+rizg9KlhWs+INujfVYvXX2VqXCsAB1mVgxRZA5Vm0oMkYXWdBZMHrJ5jpVVqpow3WXxfzMd7f5bx+ZIkolkJR/hBGkKIYpJagzkBtsLYmdoW+lQ1FpKCy7G2FsYKkzYOdyhew5JmNoUXxWJvtcxVDtrF+FMVOqBsv6onBlyDz3VrPFzPQkcZLgverVr6FWb3D00JM8cM+t+Mq3Ta2rwGtPoHRPLGvIGfLxAFWwjwPbro66AuycyZUD7DLJo8fAvha4x+VJFljWUr54T8j7Pt6iPfBtBscBedmOVmYtx4Ps4mItNGU5IqI4Bg6HlzurXWB08hrvuSxOhb3dAqwSyMbR44U21wYtjE0ACbvpq9YeaaKZqGl+7K19Hngi5PZvKGiIXE/Yby0hRTHKgZzVgRjHQszlisqvzEx6GCkgG/yT/5Ou4imOY3bRFuOUBYi0KvtKph4vwHKI1lQVRS6Tojjmyquv5bprr6bb7eHVAkUYeNRCQT1MCXxVXTJYDfJVeqgCclMCfS2AF/63wQ0yhXCB7TK5dti8dEvkqjS8BXUObCUTpEyQXsJTRz3+8KMTHFz0s5Rtxt7iQuy9VnBZeghVb3Y101SO1/gtl7JjiZ3S/y4TK4U74JTUakPRBFxKllKqGKOLTWWFlkihSIVGSIWMNbtmUn76bV2OnvU4cEpgvDGRJQWJdjwVUcYHRXApyWIBUHos2JT2Z/J4NP/7hK5qcFOk6rNjl10IBehN9RFjVuERhzyEAKkNUWQbQ5TykFLh5TOgA9/QqNn5fON2TZG4MPkyzNOAvLo/YtXOqu7hUgaXjmuSv1dIEQfkReJmLXBnaXpZSpMgTDjbFvzmeyb45JcbGN+zbWjCd9hbONrbmXdSfMe1g8n8oI4ndVxGL49+VZmsYm+z+j030eO2iVWY3AiEyUchW/ZOdbm1n3VUJEJ46NSQYPCl5s0vG9AeSX7+dxXnVgSE40zukWjJkJyZS3/c5Lq9YE5rBSuHRY0UhZtSaPExWVKC3cVOtY3NVQvFYXSPNaZ63IDBSBOnGRlo8JSSeH5wNvC5bd3s5GsG/Q7aeOj8snSYp7xa3Ch2fCmp7suyWoOvZu9Kkse1CvM9GQuAp46LojMg5+C2NqB9bWtNIjSf+VqTL97XsLpblZq7yt75rsHVeYPuslnpu8T5bAzYqwjbld/jN7cWxdXgON4wrkRxnuezAvMmCCEQQmYNE5bFpJRoo2wySEqEsRWHoWd49fOHvOGmPn91qyRKRFl0U5x3r2ByN+A0DrCLgDPX6iJzUXRuF+Z62zgZzZzBq68r5JitiKaCsSppiLHDqA3Eccrk1CzayNtqtdrZTneAnNt4KWeP3nY0UP3/MTe3Dl/FdnZIpdzUqQHJn4/tYa6cz8q781nBumtVApoSuG65a/Fv5Dag+++kNtAswJ0zufW+E6H59B113vXeCU4u+DZbmVuCGchFBu7qIE13NaFYbQrtnTONA+DyBIgqEayG+yqgj+M+T2RUmx+o6PBclpQ7tEncjh93vIStRLQZTp3aFrd4pNg2m/LzP9rhjS/r44sEdAImAR1nzy0NJgZGGoZGEGmIjSDWkBhItCDJeh+TYpc41riv8Vkmt9zX+XNtDKk2pMZkZQn5z5hV/3biPO8NE9Zv2MhyN/off/WxLx695qrdtgQ4TZPs6k+tPMiWIG2EwyXOCS0YvbrXyriDYj+vMna1DmVcppiK3i6DTJ2BubQGpWMJykyS5Prb91OOLEje94km+w6F0MwSOsJN7Kxm73E5sqqgymWcYukc82jHltXq0lq6KGsB2x5pPZbwKdlbu+ye143rjCWduYbSVAuyhLZxlRYKYTRaK+KR5rJdMT/y5i73PRZwdN5Zqpy9Y9EeSRZAFragBFMwti3OysdKKJ3Jk9wezBk709u5LVhIFqrHM1O3ZSCZKwSqz4sD67pQGpI4ZTSKiaIYuw4BU+uuwvPrjCIDZ45htLW7VF6TOFZ3Ow7wcd/blSvjwF4lUzI3xQ0qS6nijCwTTqdOJksKv1tkd2mnVC11Bb/3VxPc8VAtqxLMWdt63giJlFX2LjR3/r0dQBfPHbCvriYUrLV8Pt2tksEsUV6tSykes32LdVaVh8ieZxZi/lwLdLbFthZ2H3prqym0sI9pRjxp3/Cya0f863d0+I33TrHcF6UkKayQDOTZFWvcqzkDeg78vN6oCELzikMKw6VwUFyg56Be7cg5hMoYaQgqLGEMhIHHlXsu4iU3Xk231y+uURqtTcxuuPz2pcXl3451gzSrLqtU8bnyY9VzTSWlXsk2lnUjckzSVOq5c8YekzTSua8FbjdbqVTCUBj++BNN3vPxFt3Yt8MDK8xdBpahyLvkqWjvajmsI08cfZjTtfucvDvGZZhnAvl4wZUpGb6iySvWoXBGvbneuCyYO5csqZZOe1uW4TTlHpwtD37irV1+8s1d6iYBnVqJohMwcSldjCbRMDIw1BAVUsU+5lIk0e7YhjUkiytFXOliyjmDei2ZU5Ew7r+RA94wO11nZXnxt6+/7rLbd27fVAJ8YnoLf/OB3+kfP9U7Moxq9oOxop+ioq9In+uium9VOatwNLbK60jG/G0n+1jWl5iCqaXSzs+WbokowO2C3NqCxtM8eSjgr29v0Ik9qz1wtbdlb0EuTfJm4qqTs2osMqy9lDpsUonwxz7/5pA+xtgVOeI0ITuMXh0QVA6vLECea/NV26IotFEYo0gSRcszfN+re1x+6QiZ5oBOLdhNUtHkqYZIW10e6Qzk2WNqIDWCxAhHHwuSMUDan3P1czkmYxzslf/OeU/r6gWBMUy2fJJR+8gv/ep/6e/cvgVw9qp/0Utfi+fXOH3kTs6fOovy/PHEclVvuyeySN+POyimIl1yfV9UvOUau6LDq8C2F0vqMLnrnOSvE5Sf8ujhgJ/57WkeOxBi/Goyx96lYwuaCnO7QzTX0tpr6fHK9iSi4sr+veSKMeV6W/XFy1HWVS1udzWzTQXZmLR8FwYhrUWY1Y2L3DbMwGmrDK0u18IKHxEZrrkk5t0/v8JP/BfBYwez4KScIuLsCu6RIhhpR4rIzCvPdHme3ZR5Ch9RdAJlTnPppmSvbWKo9MQRptTirNblLjEIIIpSduy8lDf/s5fS6w1552/8chXgMzMTeH6D/pKiu5DN1Mgi9uJEFQGmUzg5BupSl48HmtXUvKik6XUBcpXpbVGsBFVwKwfgOXN7vqZrJH/0iQYPPxGSeg5rF/LE1kEXgWXFNVld8VheoC7Qq+PpCvYe04kVUD8Nwitj2MfZPIugqsVXjl1I1RunkgwSiCyVb4fQywLMVp9LBIZU5OpY4wnDdVeM+Jdv6vEL/82nmwjwXWC7z+0oihzkZHrbSIHOvrVdOzOrMw9IHe09DnRBaR0WTlUO6JxczRgOKetyeiMwqs70zDqU1y8OpVce0xBD/aDvNw9NTtZ3DYcRceIXBTnju9PmrkDJZmY14F1wu3XKY6wtctdk3D1xgssS3JmjkgeVfkJfC973ySYf/WKTkfKK1rMiW5kHljl7r6G7XUlywUpB10GqAD0/RmuB+uk5fDynlm+zXW1CzmGYZzFdcJdls0JYB6W0E6VleqxnLoy0zb6ZqyK0sWA3tkArSAxve2Wfvcc83veJFr0YywZ53r0CcjBIIm0/DvIsZwaInL1tVlhUCrJcN6UyTsIlDOOSRRn32IC0xKIxgkGkCeotJiaahyYa4cEkjotjWnRgtqa2sn/f7bctD+sfTOUUWif2KnMziWPPK2Wtlbt2dHjZICwrQWOuyTMvW+gxcKesCiTz5yrJ/O6UbiR4z6ea/Jf3THJ+0c8KSPJCKtcedNk7n1LlaG/XMYFVs75zrLrvrZndLO6iGnA+DcLN+HMzJlUyHY7rfZtyv/nCPnS77tfS3pURcCp7X2XJILsH0MZZzS//aJt/8aYurTCxEWNFh7vPNSbzyiOTaXIDsbHBZ2KE1dqZNk+z13nAWGy0ZareuHaDSrOW7i53wQDb5LBr1zou2Vn/4OfvuOO2S3ZuWc3gAI8faWJE/bNeb/KNDdm7Nk/duw0KhT1YLBXV1HxZvF7V3zlj5+6My9yFTHGDzDH2Lnc3cABfM3zqsw3e+WcTnF32LDXLnLFzeWIrpqrgXqveZMwHl+XqJNcA9tPWmjwzca8GuWMV5sDOdTiuDs9Z3mXwrEa8lC5VFhdG23LS4jUIrQupIoQqzmkcGTZNp/zyj3VY7Eg+eEsLapT+eFY1WCwneBgESfZWqkU2qLSUJVaT50TiZDfz45nPUsl98zwznjN5fsyd+pT83/KkZuucz2Vb5cMvvc777PJKUjm00n3xfW9+PbX+XXd7QtyvTYDAzTxmzx0AlvbgWEpdVRlfOYDNC6VW3dXYoxgPKq3XLWWCFCkq1Bw86fGBW5qcmQ8yO9ANKJUDcOvFFtpbmtWW4BpSpKqtyw20skVzjLEpGfvvA+4qzlczOFWZgrH7FFeLs1wXpUzlV2pXdJ7ZlAXw3YxnqlX2uSKJJJvWpbzjO/rs2hZBlJbsvcpdSQomX+WwZGyeM3rB5rqaBV3N2uVKtKZVaEqnxRio+Yr2cnz/r//OXXdfctk/qxxTb/wg77l0DiEE7YUFdJJkDRC6wtL5SbQn1rnaMFUmd+tL8tdjdSelk6IzNrcXhMhki8hS8jIDtxIpKtAcOu3xf717ii8/ULMNlHJckpQAr7B31hXuJnbGgb46uBwLIl1ZUqm8qgK+wLrzwk3iVIHtOCY4TF0EmpmDApnOzkFfLae1BVgZKxqKrKYwonBUhBYIssBTl0aANiqrOTHooeEVzxvy6z/T5lffPcnhM4ENOvM/JNfiOatnx1sjiIAUKyV8N1B22DuvV7R1JHnTwthKaUrSyBNBlsXt+UmF3TYwMjUm123LklrV2yqA79j9aoT0opP7FuitnLNd9qWLVb2NuyouyIUjTcRYgJnJkmpwmRZAt+DOPG+RB5hZKt7XHD3v8Wt/NMlHb28QCVVN5lSY2x5QG1iuMd8Eqh1GPEOAKdYG8Cqt7lwMleyci2iHmcffy1+Pe+JwIWCPTcXKX2uJFqkN6oxw0vi5TLGXjxbSBpw22Y4QhkQbal7C21/VJ9Xwq38wybHzoQNyU71Ki5udl5VAmd43toUtz2pKk7W7FaSSD60wlVR9/nxN4OXfwsDGTZv4gbe9JorjlN/4pWcAeFCfww8mfm5mbvsVSu97WRr3bRCS78diqqex2sKWs/lqx4QxsOdAHmdxUdiEuaRxmNvTHJv3+IXfn+TjX2gQyWwLNnGh+5gtKKmm5dcEsanKjvG782LcWalme/7hN3eUsoWSKFyVSiltRaaskdnMmFzqbJ+cLNspsjojkQ8VNMY6E9mVJDIWTxK7K/T3vXaAp+AXf3+KY/NBNhiFqoW4BtATspJVAT4CD1tP4wn7N8n8cihqVkSxoawwJa7WOjaphig1TExMsHvPxV+57JJtP7e00l3jW4wDPJykP/+RTqOh9k22orQejvC9fJ6fq6cd9nWCxFUpdpHbem6TcFo4KUVWMq81EY5zohKksOAWKuX0kuSX/2CSj9++Brily9wZe+NIE7JsLI5b4o5iyA5mpSx2uwrhXwAAKI9JREFUlRzJ+WP12F5KKP5DJfiqYDM/oRU2p3RM8lEJ+Wc6S+G7lYZ2UFBVwuiKPpeFPh/PdGrjkSQSL4G3vWrA/+9n2myaia0Qdh2VwlUZu2tbCRg7ujwxItPkeTYz37K81NZ5RlRnzovOXZjsZ2MNw1SwEguGRqZeLdz3O++9tTM7PfHMAC/Ol17+mVo9eNT3UycwdDR0pTnBSbMX9zKNXzQwCDd4dJ4LnVUEpkWNd7XORJP6gj/7dIuPfj4Dt3w65s5KYVeNPq6ydyFLGK9bH5Mi2RuuNQis+tnyChB/LyJ3QZxjuzIU3wV3DkyosHWVvR2Qa1EFdxFgujUrTnlt8VxloFd2r5vU8PbX9vmxN/bw8mIT4wSfOnbuWU1LthmmyQAdFfcsAM1AneRBqC5tRO085pN2S4uxLN2tNYNHzy12fsZc4NiuCfDG+u9FMEpleLXRxi9OgMBpVBiTG4UNWBnxoKsuSnYXFYY3FeYWwnFOhAU3nuC2u+t8+LYGI6nKZkkX1LjPq553UW/CmPamKlPWHmq/tvrIC68KShD/MOY2z/SmG4w6zcgXkiq6cgGIbBNVmTkOLuirNePGZfCc1TN/XBuF0YIgNXzva/q86qYBIjem12Luyl0XQE8dkMda2NpyY2tSEoe50wq4s+eUG8KaDLg1X/KS515qeqM4/bkfe/2ax9fjAjdv8o3odPDh6MzxPVF8tqlkZkg6WaS8PsVtRbOgKYPIqmuiMy2uKf1vgxBp9rqsFJSZ5hYe/N1Xa/zc703y5JHQNgwXPrcDculIE7ka3K72FpXRFRewB58muBwzTpxge+wi4OlBP45jM87i7vtOvQqFvnY/N6t+vqrLbb9m3gkkssxnqcWt9tayfLQNoGQBKEhSrt4V8//8n23+o4Jbvtog037P8FdmRW9kK4uw2U8P8IrQtnSQhHHKaU15DEvr1FD34PLt63o/9pYXfbjVrPGHv7L2b79giBA0LjZL5574Pa957YJtENWM15dUZ5u4SZoLyBY3YyncpI3OmFsXfrdSFtyfurPOL/yPcXA7afgc5NigUhR13o48EXlip2TxCpBxIvhV1uDYLnK5bTUOcufmnpCnvZlneLvo5h2TLab8uYqUGffBHYCvWXHoPK+U25rSMy80eX6PJFfsiPntn23zz17at/SrL8TeTmWiSQvj2mSsnMuUyFBh85zBTVZhqJ2/NdflqTa86oW7F+6574nfu2b31gse6gsyOMDU3FXoZJEw+RzDUUQUhdloN7dCMJMnTveOrRqs2oLWOtQFu1uQp45lWILbyhL41Ffr/NIfTPL4wWANcMux55a9FRbY3lopeJEHlheuGrxgzYnrhT/DY/4fP61kMaxN7w51uyxefW/1WLfxFjdtTOaF546JKVyVSvJHGNA2o4nMCrMAIW1Fosz+LXTR64+INFdfHPNf/lUbY+AzBZOP/yF5Mdf4H6dswkoKYjLPnNVsDmRbp5T9vamBTqxpNUOec+1uNs9NPS2HyKf7sD65ZbTQlf/yG0f29IxJiBOv6P8z40mdvDLQLYV1NHe1KrAEd57EUZksEdJq7lvurvOLvz/J44eDbPrrGrq7eG1RK0UJbiXyhI5ZI7A0pWNCFfA5PsezmVUrcIzB1wL/NyvI12JlRAlq57Wb8DGm/DLVWhUH6K7uzh2TceZ2Ak2ry51A1Kgi8DS5Hs8ZPYJrLo757X/d5jte3M8aJRxNnjdOFK/H2Dyb7u+yeeQGnI7uzsnCkxAq+P+396VhchRnmm9EHnV0VfWtbknoat0SCCGMhLgNxsYY1gKzZrxrr4+FtQ3GYI8ZD2ZsM+wzA5jZsWF2wB4PPsCzaxvwg43HgzlsQGBOIwMSQhdCAqmFWupT3V1HZsT+yIwzs1ot1EKA93ue6q7KjMzKynrjqzfe74svHFTx+VVNw5Oa2ecmdRxRGev2junBt+8YYm5u4TPz52UHt7z0RkMhFyCXqcGLC/ZIcAsNm8Dg3yIyqTRxpm1TQRxCGShCEIeDOwT3PZnFlTeVsN4Adwqwobw3gUZNoMo/pNY3SXBtLkFqF9cUqCVQ8iDRNxrgt0aadUL3ikvaLIUYwRMZ8dRoiHD9eq0UmSYbX2N0iL6gKzeoCtEiniJXRQAecRAominDQWhUjgI0DlzyWKNmAKohFs+s4cYvDoJzggeeyCKUbtOShhKfmqrPDAImOjWE3yfyr/hOXAo0+CFmtuew6swPDS5ZOOOZvoHdDGPYmB58+uROTGlv3ENBLsg1Hl+rVLi6JAJD7pMgr6OSKC4exu2jMDwRnjsG9++ezeDL/1jC+m0p4BYFI2XOieITCe+t0xCY8p89Lc0EqbnNDuSkzegRrRNUJQXcY5oexeQpm3VvL0GvBpTQtou0W6WB15cV7eKeSienhidn4hdA5+VVgkUzavj2lwZw2nFlOGmeXCopurKiP+dKTkTkxWsxLw+4+AxRtwar4ezTjq6Vy7iAuM17GgpTx7ylYwKcOC6G+rehc/L0HV2zZ7/S3JSBQ2vRSgqOHqDhSOZvM8NjE2OiQqhJgdEqDdwheODpDC67sREbt/lRd014bgFyPbgTSYJ+TEnsyrCOxbsTA0yjI1hat83FdbxK5zy+pUrGg22DcwugpwLeoixQwFX0A0jq4ybQFWBVWWYFbK1MHNPpjQZ45oCFFLxKMG96Df/7KwM4Y3kZTihAzurQk/pSoq6ZC5DX4gSsco3Dyzdh7tx5r3TNnLbj5Y3bkM2OCeGxAQ4AlFKUe3+7zXeHL26eNB+U1uKoppo2JoGs541rntrMKAzlwyEMjs/BXIKHns3iiv/ViI2v+eCJAWUyBC8QSOIPkRhYQlESR4AWKYGcNMqiA5dYoLbkRNPdxwC00F4P/LzuC31wKYsmWN5bAbZu+F7q5jEFsICd8N4xZZFLpUj+TWUHkHnkXAsEcQpeIZg3rYbvfHkA711eBg0ZohJTOtDreXET5Ii9dpVFE5xHGUGZEYxUGY5dOh99I+HFP/jFU9so3S98x+bgAFBonI5abR9ct6GbI7O6MvT8yZ6zB44j1BR5+zUuruvcsQfXObegNBmO7XtdPPEnH9d8r4iN23xw31ZI6kcrEdMSX+PbcmBJTT5NYYXkE0C36AisfTb/TrHoHlBTKx+Hbxe1tc2NEQfV6Ymc/GDVTlHnsZKx4m2MRZ2YIeLd9mygKN2WxqvsMem5QYlUXRgTJDx+M30aG+L7WWNYMKOGm788gG/+C8NTazLYvheArx0gr1kvKKEpLjw+GacysBMSjmrA0NVewqkr5q++8NwTuoeGR1Eq5Pd7b/ffBQB4XgHr1j2yeWd/6eaBcCFA+lDIjcYZfmkTFASgtcikBHfs+TMcG3d6uPaWIr54YyM2bE8DN00+pJqiNG5X07yNWhuWti28L5XPuUFFdM6tqyoC0za3TssuBKCWuBvPzdUBGv/R80t0eqL2E/laFOSUVCX1PHrIHikUJlnzUHluLYTPlOfnMqyvefTYk8+fXsM/XTmAr186iLlTa0BFz08JU3Rzi6NLesMAHoCNVuAFffiLc6dj4bzszauffWzzeMANjMODC9s90oVy0PrMtNIb9+wa2LiK8ZdQyhdQC6JTmKoJk8AmMV2RXpxGnnvzTg/X3lrE3Q/kUA5j/UeX/eqBW2QSx6AWBesp7JwTk64YiVTWf7Hd0Pg0GVBlShKjM1gv1JOU0WZdmhJ7bwnKFMXF/m/qEWb4XgBbqCTy/PEbcOicPPbmULP1IVJqAaWZI061hQC+SAOPFZ3Y28YyDmjA0NES4uMfGkXGB/72n4vYstOLPbn4FDT5yThN6qxBiNZ8Hz5y+lScvnzWPUvmH/EMMDBe2I4f4Kcvnw5W3biNeO+9/K+uf8mZVhg89/wTh5HxiQQviaOTOshl+quYKe8CW3b4uOa7Rdz9YB5lkDHAbWULQhUIdOKL11UTokUqzZk6PAlym3vDoi/aPY7ut0ZRbG4+FoL3vzMJev17R+yxhfYdu2U991sAmBObp2ttCWTAR1KXOBgUnVaPglJwGpVhFhOOKadSlQGLfE0Y/wfX2UuEfl5myLgMF5wxAnCOa24t4ZWdHuDZw2nx8xTFVaSn4ZEMnM+G+PhZHi5aVbgXzWdd/uL6rduXLJo37ns5LooiG/vz8LvH1m0/6+T3r501dRn6B3MIQycGgPDgYaxtq4QpQuKahxmCV3s8fPPWIu66P48yp/FkBRvcTh1wm7zbtQaTVPO2tncea4YOsJ/tGk4TUrcO4IOVUsYAuu3BDeqie2TZhsNWWMxpbLpEqJ4zZh0jqApLTnPjRtahUFki+ZBzChYQ5MDx0TNHcc0lg5jRUYtGjlx/WCqLkBURQaPR5ShmF6Ot4+y1BfbY9iWLug7oHo7bgws76eip8IuTb9i2fl0XH3n1Qs53yrRW1wkigJNQBnZIPEm1yimee97HrXflceeDeVRJXG1+THDH2zRwC+lPD+TIet4wvbdMgbXBngJ6RUm09V80sCdoiYVr/Rdg3EjX6YkEZuytCSRlkYCWx5GYynDNc6sJEVJlIVz7r3lxw2NDZh1SHi/qyigYZYovcRLVONEnNQvaQiJQExYvAAsm6QqlQBiEyDgMF75vFGDALXc1YM3LPipM89jEuPDo9sUZjO1trSg2zflZY+uKG3Zv7T5QuB6YBweATGkKdm+7Z6Ch1PWZTMZ7zHE4fLeGjF+F51bhezW4rvDiHMQhGOUUP/p1Hqu+0oSfPTAOcEP32IqW0LhHelBJbImFovSBZQqQpTSIetWqksqKgeI0QI9TFhwT6ymhTTuLQx84qv3E+JU3k660B+zXxODj0fFKQ0di4KmH8pXH5ixaw0Sl2JqTmjl3EIYEXshx4ftG8at/6MMnPzSCBsqUt2YhEARArQYa1IBaFahVowV5s7nHli6c/pkf/vy+gaOPnIIDtQP24ADQMfM8jPY/PoLCR6th780oV3dj3asOdve6mNMVYPIkhgYXcD2OfTWCH/8yj7/5XgH9Q64G7DRwC29NtCCPCL/AmH7mykCOybsJsfi3BuSEhq2hMZVT614dqt1+UfxmEB57bIFXJb7yhKdX0UrFr4X358L7Q4BWexCluki5EIqLE62TMA7QeJkSpnlyCgrOWFTFitGo1kPsrRkQTY9L8eSMMbiUo70U4rpLh+A4HLf/Mo/hKuB6QIMLdHaEmNMVYNceD5teyaCjqRFXf+6D1TKhI5d++oNvBqpvDuAAkC0sBMCergQnrfz2Lffl7vpdBq+97uDYI8s4dn4Fq84oY0pniHsfzuLv/rWA/iFnHOAWiVNa1DKmBGb1V1EQVAN0DIfUFQMM7pwyuLSAnCr/pfBzw6PbXpwcAM55nW0CxEQHNFGrLGgAFmtoG55eOzYx9U2XFoXXRkxThGePB62IB52yPRHl4qKlxAW6kyCHAXIwBsY5Wgoh/udnh5BxgV8/nMGUyQyrTh/FsfOqWLY4xPbXHdz7eCP62JLR45fOetoZR0BnwgFO3BZwPnj1iHshX71h+Eubdm7JMjfA6j86WP2kB0aA3gGCOx/KohKkgVtEJMcAN1HgTqyCBi14Y1GQVO4N1Rl0ANbz6Gme3fDkMvCjbRGOzgK6eeK4jc6vBSiJem568uh4fUUaSS0ssEMAU0+2IuoYQvTjuamgSM6ugkHRxHiuBqkUcRCIgsazjjlnYNgfyKOJKAADCzlaigzXfWEIxyysoXeQ4IpP7gMqBOWhHKY2ebjso/PLow1nfYcT72/aWwpvGuBvvmsAIKTEbvrJs9csW9T1reOXzqoSxwMyHCuPq+A/nVrG5PYQVKR11gW3lhVINUqiJVEJSTCVd2MMsCe4NVenFpdVB+w26BM4TaUqxPT6B2B6xDKRj2KoI4DN03ncUxLe2VBZ0ji5xde1YJA+IULn4cx4raKcJu+2pr9p8zyjSc6IJiQD2NXj4FePZPH4MxmEVYpy1Ud/+ajqvurib9Hh31/T3lJg+715Y9ib9uDC/LBc7Wyacv3ZK9+oLp01dO1opZdedv4IjllcA6Ucd9+Xxys93hjgpha4lWJCYCZQ6Xzb0QM5mqYt872hPHZiAKmrJJKfm7Cs53nFFpLaVt85fphzaELCGIcR6aEt2kHEOYgqU6wFeCJuTRRXl/zb0s/lsRp/B5eeG+JXQVCXmGlH7IOCUtOTA3HabYKuRPMFuvcS/ObxDB55JofLhjx8dtUAqFtki+Yece0JM6f/Y/eenurB4vOgPDgAXH35BTj7xNdGP3b2tHvOOW0FP/0YgmPmUfCqi5zL4Tq6B7dC8fXAHX/PIgzv2IDWcJTUuNMSqsZQSXRc6t59jGP3F6mUxWrGg/F6bTWdW76GRkXUiMJsK928npeSoqpI/m17fcGvVaKWmtmvh+mtED/0TEYrUcuY+hYpK+DR9LTRmgO4GaxZ34L7n2xFtuk0/kZl4T13PjY4OnXuxw8WngfvwQGAe4sxhMmbph7Rfsnsye6tu3c/SJub+xAvfZuSGUgUwEVuiQ5uovJL9BzvhMeu562hvLkCoxTVLN07BdQwgZzw0GkpV9ag8s3QFHk/jee6MhLvlBxbb6/aKX6tCLc+UJX8nhOp3ui8O9oXEXbdiyOuExR54shjA0JDj66BcWJ48ujHWNyv+IIZ4MbLMxAAoD7yzUUsWHwqWzBn7iXHHTNz09ZteyYCmgfvwQHg6MVLsWhKb3XJkSfdlssU/jIkUzEyHOC+J7LoHvQBxwOopzy1mCwspEA5MycCk0yigum5o8Ell7x7zKzAMbw2rOfC7PRXkTIbvbQmNOg0B/oxKTZOtJs5Jmn7BUTMwab4n6ilIrbHhyjtm0AU62b6foufqylw6jgjtVbkiUOVokjl5IwY093C0EWt5qGzCLz/+FG4XhVHzmgFSO4vjzvmpNtWP12tds08ZiKgOTEeHAD84kIE5e3htLnnbRnpbxi66Ue7iv/0U4ahag7wfIh6JWqUp3tuojg3EeUErIVZEXtrooBNbe9tlV2Tg0jtOKAOVUnpBGkgNXg71MdJa1vn5X65tt7MlgkhVQ+uqSUxKGXPUwRcUguCKA9FH2CSOBdFgJzYIOeQU+DiixFTyRiiObDR0uIEjABEy00RnBycymUFiXhPQsFrFFkfuOQjg2hoaEJx0vKh8848ecuGV3aFp6yYPVGwnDiAA4Dj5fHAU4P3Luo681LW4H/HLz7Ugv4K4GQQx4fVzScENrgF33YRLRClFBIN1LrXtoAJjM+DJ4Gt0Faff/MEkusVuFe0Op2k85S2MifcGmwm+oK+QbZVoDbmahLhtbk5ONVC+2ob9H4h5UNRfjAqHSKkSjUIBWIwR2VqwZiSYuXAk0fFPTnh0XInsbwZBASN+RZ85aJze2vZ5Vdkvdfv5TjwaOVYNqEAJ04bAGBnT/8dl/7X97uO33DDrT9d3d69ZwAgFDUxuU6kS1rgdnVaAksSBLeAmeK9bXDW4dlimw4+UmebAlbKDB/5VcdQjsF2MPzbMB30OvBgDjiNlFjjeQQkcRzRNXLo+rfSyA3KA0AEj3TZUb88YSyKcSLy7mIOUaTsyM4aU5UwdMDB4XiT4OXO6XEazvoqZdU7CFk0UXdO2oRwcNumtDchqIU//NxHTrjqnJMW9EzJcTSAgQTaHYxNgFtkB7rUnDRsRyhtGdAGm0lNUvbbA0qijhEb7axCY7+AtEHIYW6ztu/P7AnGHPZtsk5sRoCMc0j+rFMLjUenZana+rjcDsSuXc9b0fl52kQJNWFC5qhwdX88DwiZj8F9BTj55T2Z5g9eFQTsh9RrPTjQ1THn4E+Rbjd+6zqUpq9cU8x7PVNL5VOy3t6cQ/dh7yDkAJMQIsEtJi6ISQsyWklSHtp2RyvDlixkj7h0XDye1dvIKW1EbTemuRGV50UBKl+r7XLZO/0/1bdpx1htjYhqglKR5Lb4P40xrnT/6ImcpQT7XNr5jH1EBr4oSOJYe/yS6Ga6N4HS21VLIq9T1H/3vRq27uJ4YXMJAVnUO6mj88rqyKYfFlvfc6hgeGg8uLCrLzkXCyeVb//AiVMv+8ZFzUMfXrETpFyGmPrhEiBLgQzlcCmPQW7ncKfU67Yoh75P5+eJL1xvrH1RCTUFyW1JGqPcvO7h7V+NCTFNWlERTqJ2caWH2+1VnD6+Oq55Y/k66cllHgxMrVt8G2aVW6GDi4hltMJyyKgsQUHAkc2N4p7HA/zm+QVDbwzPuezZtbnb26Z/bKLvlmETysHT7PwP9DIU8z/bvG5SAH/Rj9saX8/2VBrgukCOAj7lBqiFqR9G28tpejaSoBf7ANVWP6lBXVJoifBuQArQU0CsUWTFNUmdGiljmT141Lm31cwO2+sDRZn/rbez2hDtvZJyZPTGPHkZlu6u31QuOwrhgsKpiCgBkPWB13dzrFg6rzKytvOi7z446e6pLb0HFYYfjx1ygJPS5/HVG74fZvNddzsZhCccm//Jf/yhP1twAV8u56cGOHquRdqgTjpO3cNTsxOAWJ3CArD2CxoPhJKc2vDKBGN65vSBZ/qrembknhATnHLwJ9CmPTcAa7XhUl0RXlZXU0gsAyL2sEoalNFRAtkm+TFUb9RX/WAaqAmJpr0xQuHQKkJ6dOXoYy4dWn7izD+wYDic1NZxKCBn2CGlKMJu+OrFyJDu8IqLg1/Mmzn3v5153MyRPKnBpwwZB8g4XBartycAp3pCMjZsDA+rUwsL2PabGEA1dhEkvmWSBPJEUBMd6KTevviFYiJaWF0L9KjgDTHPodMSEHNwCc3JiJA/iHYO8btqnlvODGIEQeigFjiohS6CwEG56mCELR3J5hZ/wsnPOQpuQzf8SRNwt/Zvh9yDC/vaFz6PSvn/8nXrX75z6eLZLmPhrS9t7m7MUAbPJagxjiqPii7aP8k25dBBb+duK5rBU72yPVCqp6LITSne2VZZ6tp4ED9G0EenBjx24zoNIYi9sKAbBs1RU9VsbTsK8EDuMOmLyPkWoOXJz5hyzeoXgCAIKILQAaUhchkGPz9zgHhdnx/au/HOAv8pOhd+6s0D6QDtkKkoafbI/Xfjgr/4DEbd3NqOSU07F87qPIXUhvK1ygiqIUUlNAGepgYYYXtN9RDP7SBQfXVFUxeovi1+H2q+r+Dmog0SCgpACI2PE9eZVE90FUX8qohrA8xrB6xUBPGcmtv0donZS8b1QfsFIzArC5jjDuMcsc/WlSgjF0hQxZgr1QIXfYM+OG3D5OlL9ra3N1/R2hr820ilHTMW//e3EnJvnQcXdt3XPgkA6NnTd7vnuu4jq5+4/lf3/b79ifX9GAw80FhdcWL+Zwc4pBFA/I7rSVbyS4IJALFDfcnE3K9/8cZ5krN8zGsQz8ck4mOa6XkxdiRTHCB4usbRiXaviH6w5r2Jxn2it1LJVYQoLyzC+Lr+x3kk+QFiFWsuBzEEUVUFz62hf4hj775OzJ/xvp6W6Sv+OgyD20mu6RAjK93eEg6eZu1tzSjk3R+c84FTrvr0x87o+dhZHOXqIEYCxGATgyO1NkuKKJL4AAY9sb2i0cakImkDUP2kRDuBXXCTHACY65nNgbmGQv2j25MZ9IONRCuuOoBe5k3JevEHs+VBEKONmjmk3S8d3ICUIj03AEgf7n+xgPZp7+2ZMffEq0bLzg9yhwncwGEEOAC4fg7UC287YeVxV37ivLP65s6YhIwD+ITBIVEtvWhRInMgZP8822qJsDTc6Xw7zTvaTtnwrKIBsdrY5xgH4Pn+NvCUY/RrgAVo/aI0zVttSobaDV1dattqu553Din/QVISUTab8WhgGYYu/PwUdC04v69r3vFXjpbZbY2l3P5vxiG0t5yi2EZIA/aN1O5wSqf1Ll86OPuMY/m3fvvgk95g1UGFufHCoRyEknhCrDiOG5zTHlwaciFMFUW+d+Ji1D8S9wT9WPtXYLyuO7WV1bs40jtcpC3LN1RJUuLtrUGkoCO6lq1yAjWdXM9PgTaRWQsacailUOTZtPVOxVzN0RrB0LCP3PSTa4XG8l/9l7OP2wKa+XdCMm8xmpJ22AEOAIW8x55ds+Heay85139x7YaRUo7c8uPfvED691YocRz4NPrmXGpy67Q5mLoR64nCeEoZNqKEvtTgzliuHuZ1JWwc/cDgzJZJb6r/mhgat3pf0SHkNr0DxANLk+PH4NfpSfyaASCMqHTduK1DGTw3iNY0JQE4aWFO8TTu5hd+Idc+50eDfburjW2HJrfkQO2wUhTd3nPMfHR3d1dnz+i4Y+nirkXLlsz8xoJpTeCVfagENVTjkmJCMbEnH5MYIYY3tx5plsCtRT/kS668dqIjJaJRB2fcoAjmdu1yDNoWbTR7JudpJxe0Rq8frmnn4jkj8SpngiJqpSUog+dW4DpDyBfb0Tpp9jeyhTmLvNyUO3r37Kk2ti2cuJtxkPa28ODCli1dBACjl//9TzauPHbx9aV81j/3xODqX/5+j7NtNwW8aHluh3I4DqRHH9PI/vfpnj5t4EhS2qZ2nAPk47rnTd+moo26aqJSX+NjBHWR+5X6odb1EW2hPLbx3orFy3OwqCiQg2jVPIcycAAuDdC7D+geWhKevKzz79zS3OuzQ2tCv+3kgwPAIbC3VAcfrz310C9w1Mr38Vu++emHf/5/7szsK7vLe/cOuSyowCUhsi6B7wKuE4X59fCPQVkojExCpZ4QpX2LdkbGoKBAQicnhnZuZBwKyVF/TUh6pqHxv86DJrfBunbjc8IcY9SrImCmLBDznFC/QjrVCePJwhziuhhch8DNtKB96nsrM+d/6sYbm87++nGXncyzk754uGGTahP4wzrxtntvHxy4YGDXPfWnV1befNuvKauOrNyzt9dtLjjwXYIgBMq1aP1yIPLuIo3WTpPVv0xHC+5E7YiRMku1YI8AK00BODU6AJEpuFR2ImK0pdQM9MhgVErQKjqeG+0pVZW9ZJqwto2K5DW5EK/5XA3OtWUfKY/vG4dDARCOMKQoVx0EAYXrhMhnR1AoNgcNefeJzlnns0xxwRNB4FyVzVZB3bcH306ztzXAdbvp+79ExneLvf3D/7Jh07aPVvd1U7AKevZR9AxEi4e6cTVmh0ZflENTBqJQACdGRyBmNFQDvAK1HuEkGv8XHYAYbQ8E4ETvjEZUlidy2WWOuwCvPDb63BFoES/wFc+QittBA7cAekT5GBzK4ToMrhPVcn9jbxa79mTQ1OhhzqwSa26b+XPHK/4PzmpDR8z9yOGGxLjsbcXBx7LLL/4wnlu7dSiXzV62Y8fszeteWHNk3htatXbLOty/hiIsZ1DKKRnRBrZtHNoI21ZNiB7lTBbeNLn3xPiIMRVHPUhDICfvioAMi3NLRCTSOG/itZILI70kGjyKhboo5WjI1TA4Oow/rGPonDQf01oa7+mcuWhtW3vnTZVKeShfmjtB3+qht3cMwAFg2ZGzAGBP984dXz9qwX+eEQy/jPnbG1a98No6bH+1DM4cMEIlp3biQageBZRRUlljOzKbz+pBpEQCFsx9h8rE2IJrA8Do0jmE2qcPOO0JC0YgDIqeiHvBtXsgwvBhyFGphqjxItqmnYjZs46656QT5l/R2ze8zclMHf/Fv03sHUNRbONhD0C9Oes3blqyfkvl8pfWbjjlvtUvoad3HyY3uWjIRjSEcSBkaqa5AK9DiaIxVL3WqYqRGEUV91a0Qx9oHhxF0ZO7aNwxFXWxeLhGU9TxccXdmFO7VFCPmGM7ioMLeTAMRaEejkKuhqbCIByvCOYfh8nTZj26s7/hpuamBS8wVts8e8bbl2ePZe8oD64bcdoBYDPnfPPCeVibd4LJM+bM/t5zz2+es3Hdi04hG4AQitEKRyAW7kLk7SiBrKQK1FEaNM4u2uj/o+f68WSszNcDMzvKydUvkaAhRNPA9ZwTufiURlb0ktMEUXqsmFY2NBKVq/JcgtYpK8LWjjmbt3cXPtt2xEndrVOw0XPesT4QwDvYg9u2cfsuBEE4Y+srO6e2Nvp3PffM46XXdrze8Oy6ftQCsWxH1NahgOcArkvgOogfJPLijum9xQ2iNH2gact3ersDGmTqygmSHU1fg0h4bF3qE78Cwmu7LofnMLgOh+cyeG40iJQZiADKVY4t3S1oa5s2fOqpKwcLueELSm0dOwhxthEy43B/pRNi7xqAAwDjDASE9vYNN1aHNx0/OBx+/96HNgVrnt/Y8sbuvcWRMkPIGHyXI+tT+C6B5yJ6OARODHJBEfQ0VAKiFBWqZrPb+dRvFuCy02gAB/R23FJ5FDsXOdmURrEBxwE8h8H3GDyXw/dC+G4A3wsBUNRCH/mG1qGmtq7eESx0h8uZi49f1vWk6+cHALB6BY3eifbu+SSa8eprgOfQXd1D2aPO/Frl93fe8JX/ePCpTzy5Zmutp29kQdapZlltGL5LkPEIfI/AdylcV3hwa44iV8CWHSAGbHQXiUVz9q+DJ7VtqyIAkiAXPFro3nqtEpBIDnTjAJjnMvgui8DthWhq9FAqsDInpZfd3AKvY9rKO5554KJ/mPGe72aqrLlMScCOnD+xVaXeDvauBLhuGza9Cs9zyT2/eQwjge80NhZuocHIvFe3bj3ptR27HB5UorJjPEAu68L3HTg0Ak4QMgTxFCM5MNU8vewE2o0kupemEdCNCClIwmvbQSndxLkdzTs7VKkhtZAgCKIroRRw40SofM5F1geKRR+lxo6wY/IRjzWW6MZadd8lA4NOOHnGKWAs4E2t7w4qUs/e9QC3rXdvP3K5TPOOXXv+/qe/eMDf+fq2sNiQW+a55NihwV6UR4cjoHsO9g7UUKlyOA6VsqPnUngugedGWQ4hYwiZ6gR60MeJH9RRIX1hijMj+tWwglLgUf3sMC6s4LmA73L4buTJI8WHYbQM9PQTcBYilwGKxQZ0djQj6+OPLBx5btoRU51ZC8+sZvNtXwuDSl++ofFwfwVvqf3ZAdy2f7/vYQA4Bbz2/nJ55ILyaHm+SysYGdiAB/84iqH+CvJ+CIDA8xw05Dzkcw5yGQccBMMjAaq1UHp4SUcoiQauDpW0BwAYiwZ6lER0SAxydYALj16pAftGovb5LEFDliPjhQACAEBTEWCE4/EX8lixbCHaW/PI5bIbSsWGuxpy7v2c80fnH3nK4b7Fh9XesTLhRNmHzjoNAB7d29v3KIDVYRDMLo/2sY0vbmWz+ifPmjGp/a+7d74ODgfbXtuFwX0DyGV8lPIhmhs51m8N0DtA0FSkiFYDizLwRFoqIYAb83bGgIBHIEesuUf6eQTqqCY8h+dwNJdCvN4TYMsOhrwPdLS6KOYYWltLaCh0olxmmDptMiqj266vPL9v67HvOZ5O7myhruNsAfDbYqn5cN/at4X92XvweranZzcymUzTjp3dp6x5fh2CkNQ8P/cl38WZxQaK5kIIL3gAd/5uCH9a34x5Rzgo5D30DYyib2AU+SxFQ86F71HkMgS5LFCrMbyxN0Q14MhnHWR8ioxPUMhxNOQYKoGPcjWLQp5jwYwRPL1pEI+9OAmf+vAKtLdk0FwCcln+wPC+yrdHytybNnMRWto6Hw1qlf6WlrbDfcvelvZn78HrWVv7JADoB/ArAHh1WzcAvAywDt8Dy3pVjO5+GF6GA9RHJuMg56PmdS25pnHf8DltRdQKeReuQ5DxCZpLDGFYw/qtHEFI0FR0kfEpXEpQyDFMn1LzikX31z/6+c5rSgXHy2YcUJeDZhpw1FGL0dyYQcYH9T3yBoCthdK7T/E4FPb/PfgE2s3/9iBASEd1YG9jR4nzQt4DJUDGI2hpCsF5DS9ujlJRW0ouPI+CEoKGXIg506tk+ozcADjeIPnzDvdHedfY/wNcbJ5yPQ8U2AAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNzozMToxMCswMDowMBkWzxYAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTc6MzE6MTArMDA6MDBoS3eqAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 125041000
{'hecke_orbit_code': 9010222945272663, 'n': 1, 'trace_an': 18}
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id: 125041001
{'hecke_orbit_code': 9010222945272663, 'n': 2, 'trace_an': 3}
-
id: 125041002
{'hecke_orbit_code': 9010222945272663, 'n': 3, 'trace_an': 0}
-
id: 125041003
{'hecke_orbit_code': 9010222945272663, 'n': 4, 'trace_an': -3}
-
id: 125041004
{'hecke_orbit_code': 9010222945272663, 'n': 5, 'trace_an': 0}
-
id: 125041005
{'hecke_orbit_code': 9010222945272663, 'n': 6, 'trace_an': 0}
-
id: 125041006
{'hecke_orbit_code': 9010222945272663, 'n': 7, 'trace_an': 0}
-
id: 125041007
{'hecke_orbit_code': 9010222945272663, 'n': 8, 'trace_an': 6}
-
id: 125041008
{'hecke_orbit_code': 9010222945272663, 'n': 9, 'trace_an': 0}
-
id: 125041009
{'hecke_orbit_code': 9010222945272663, 'n': 10, 'trace_an': -3}
-
id: 125041010
{'hecke_orbit_code': 9010222945272663, 'n': 11, 'trace_an': 0}
-
id: 125041011
{'hecke_orbit_code': 9010222945272663, 'n': 12, 'trace_an': 0}
-
id: 125041012
{'hecke_orbit_code': 9010222945272663, 'n': 13, 'trace_an': -3}
-
id: 125041013
{'hecke_orbit_code': 9010222945272663, 'n': 14, 'trace_an': 12}
-
id: 125041014
{'hecke_orbit_code': 9010222945272663, 'n': 15, 'trace_an': 0}
-
id: 125041015
{'hecke_orbit_code': 9010222945272663, 'n': 16, 'trace_an': -3}
-
id: 125041016
{'hecke_orbit_code': 9010222945272663, 'n': 17, 'trace_an': -24}
-
id: 125041017
{'hecke_orbit_code': 9010222945272663, 'n': 18, 'trace_an': 0}
-
id: 125041018
{'hecke_orbit_code': 9010222945272663, 'n': 19, 'trace_an': 0}
-
id: 125041019
{'hecke_orbit_code': 9010222945272663, 'n': 20, 'trace_an': -12}
-
id: 125041020
{'hecke_orbit_code': 9010222945272663, 'n': 21, 'trace_an': 0}
-
id: 125041021
{'hecke_orbit_code': 9010222945272663, 'n': 22, 'trace_an': 9}
-
id: 125041022
{'hecke_orbit_code': 9010222945272663, 'n': 23, 'trace_an': 9}
-
id: 125041023
{'hecke_orbit_code': 9010222945272663, 'n': 24, 'trace_an': 0}
-
id: 125041024
{'hecke_orbit_code': 9010222945272663, 'n': 25, 'trace_an': 0}
-
id: 125041025
{'hecke_orbit_code': 9010222945272663, 'n': 26, 'trace_an': -3}
-
id: 125041026
{'hecke_orbit_code': 9010222945272663, 'n': 27, 'trace_an': 0}
-
id: 125041027
{'hecke_orbit_code': 9010222945272663, 'n': 28, 'trace_an': -12}
-
id: 125041028
{'hecke_orbit_code': 9010222945272663, 'n': 29, 'trace_an': -15}
-
id: 125041029
{'hecke_orbit_code': 9010222945272663, 'n': 30, 'trace_an': 0}
-
id: 125041030
{'hecke_orbit_code': 9010222945272663, 'n': 31, 'trace_an': -18}
-
id: 125041031
{'hecke_orbit_code': 9010222945272663, 'n': 32, 'trace_an': -15}
-
id: 125041032
{'hecke_orbit_code': 9010222945272663, 'n': 33, 'trace_an': 0}
-
id: 125041033
{'hecke_orbit_code': 9010222945272663, 'n': 34, 'trace_an': -12}
-
id: 125041034
{'hecke_orbit_code': 9010222945272663, 'n': 35, 'trace_an': 0}
-
id: 125041035
{'hecke_orbit_code': 9010222945272663, 'n': 36, 'trace_an': 0}
-
id: 125041036
{'hecke_orbit_code': 9010222945272663, 'n': 37, 'trace_an': 36}
-
id: 125041037
{'hecke_orbit_code': 9010222945272663, 'n': 38, 'trace_an': 33}
-
id: 125041038
{'hecke_orbit_code': 9010222945272663, 'n': 39, 'trace_an': 0}
-
id: 125041039
{'hecke_orbit_code': 9010222945272663, 'n': 40, 'trace_an': -6}
-
id: 125041040
{'hecke_orbit_code': 9010222945272663, 'n': 41, 'trace_an': 30}
-
id: 125041041
{'hecke_orbit_code': 9010222945272663, 'n': 42, 'trace_an': 0}
-
id: 125041042
{'hecke_orbit_code': 9010222945272663, 'n': 43, 'trace_an': -36}
-
id: 125041043
{'hecke_orbit_code': 9010222945272663, 'n': 44, 'trace_an': -42}
-
id: 125041044
{'hecke_orbit_code': 9010222945272663, 'n': 45, 'trace_an': 0}
-
id: 125041045
{'hecke_orbit_code': 9010222945272663, 'n': 46, 'trace_an': 9}
-
id: 125041046
{'hecke_orbit_code': 9010222945272663, 'n': 47, 'trace_an': -21}
-
id: 125041047
{'hecke_orbit_code': 9010222945272663, 'n': 48, 'trace_an': 0}
-
id: 125041048
{'hecke_orbit_code': 9010222945272663, 'n': 49, 'trace_an': 9}
-
id: 125041049
{'hecke_orbit_code': 9010222945272663, 'n': 50, 'trace_an': 6}
-
id: 125041050
{'hecke_orbit_code': 9010222945272663, 'n': 51, 'trace_an': 0}
-
id: 125041051
{'hecke_orbit_code': 9010222945272663, 'n': 52, 'trace_an': -39}
-
id: 125041052
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