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g2c_curves • Show schema
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{'Lhash': '280549827734011908', 'abs_disc': 65536, 'analytic_rank': 1, 'analytic_rank_proved': True, 'analytic_sha': 1, 'aut_grp_id': '[4,2]', 'aut_grp_label': '4.2', 'aut_grp_tex': 'C_2^2', 'bad_lfactors': '[[2,[1]]]', 'bad_primes': [2], 'class': '65536.a', 'cond': 65536, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[0,1,0,0,0,1],[]]', 'g2_inv': "['50000','3750','-125']", 'geom_aut_grp_id': '[48,29]', 'geom_aut_grp_label': '48.29', 'geom_aut_grp_tex': 'GL(2,3)', 'geom_end_alg': 'M_2(CM)', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['20','-20','-40','8']", 'igusa_inv': "['80','480','-1280','-83200','65536']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '65536.a.65536.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '2.15412659703814607602154399783589223078216248928462', 'prec': 173}, 'locally_solvable': True, 'modell_images': ['2.180.5', '3.6480.21'], 'mw_rank': 1, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 2, 'num_rat_wpts': 2, 'real_geom_end_alg': 'M_2(C)', 'real_period': {'__RealLiteral__': 0, 'data': '8.9731758144110886006615424246', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '0.960251595017', 'prec': 47}, 'root_number': -1, 'st_group': 'D_{2,1}', 'st_label': '1.4.F.4.2c', 'st_label_components': [1, 4, 5, 4, 2, 2], 'tamagawa_product': 1, 'torsion_order': 2, 'torsion_subgroup': '[2]', 'two_selmer_rank': 2, 'two_torsion_field': ['4.0.256.1', [1, 0, 0, 0, 1], [4, 2], True]}
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g2c_endomorphisms • Show schema
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{'factorsQQ_base': [['1.1.1.1', [0, 1], -1], ['1.1.1.1', [0, 1], -1]], 'factorsQQ_geom': [['2.0.8.1', [2, 0, 1], 1]], 'factorsRR_base': ['RR', 'RR'], 'factorsRR_geom': ['M_2(CC)'], 'fod_coeffs': [1, 0, 0, 0, 1], 'fod_label': '4.0.256.1', 'is_simple_base': False, 'is_simple_geom': False, 'label': '65536.a.65536.1', 'lattice': [[['1.1.1.1', [0, 1], [0, 0, 0, 0]], [['1.1.1.1', [0, 1], -1], ['1.1.1.1', [0, 1], -1]], ['RR', 'RR'], [2, -1], 'D_{2,1}'], [['2.0.8.1', [2, 0, 1], [0, -1, 0, -1]], [['2.0.8.1', [2, 0, 1], -1], ['2.0.8.1', [2, 0, 1], -1]], ['CC', 'CC'], [4, -1], 'C_2'], [['2.2.8.1', [-2, 0, 1], [0, -1, 0, 1]], [['1.1.1.1', [0, 1], 1]], ['M_2(RR)'], [8, 0], 'C_{2,1}'], [['2.0.4.1', [1, 0, 1], [0, 0, -1, 0]], [['1.1.1.1', [0, 1], 1]], ['M_2(RR)'], [4, 0], 'C_{2,1}'], [['4.0.256.1', [1, 0, 0, 0, 1], [0, 1, 0, 0]], [['2.0.8.1', [2, 0, 1], 1]], ['M_2(CC)'], [1, -1], 'C_1']], 'ring_base': [2, -1], 'ring_geom': [1, -1], 'spl_facs_coeffs': [[[160], [1792]], [[160], [-1792]]], 'spl_facs_condnorms': [256, 256], 'spl_facs_labels': ['256.d2', '256.a2'], 'spl_fod_coeffs': [0, 1], 'spl_fod_gen': [0, 0, 0, 0], 'spl_fod_label': '1.1.1.1', 'st_group_base': 'D_{2,1}', 'st_group_geom': 'C_1'}
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g2c_ratpts • Show schema
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{'label': '65536.a.65536.1', 'mw_gens': [[[[1, 1], [0, 1], [1, 1]], [[1, 1], [1, 1], [0, 1], [0, 1]]], [[[0, 1], [1, 1]], [[0, 1], [0, 1], [0, 1], [0, 1]]]], 'mw_gens_v': True, 'mw_heights': [{'__RealLiteral__': 0, 'data': '0.9602515950165952938730405318286', 'prec': 110}], 'mw_invs': [0, 2], 'num_rat_pts': 2, 'rat_pts': [[0, 0, 1], [1, 0, 0]], 'rat_pts_v': True}
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g2c_galrep • Show schema
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id: 15528
{'conductor': 65536, 'lmfdb_label': '65536.a.65536.1', 'modell_image': '2.180.5', 'prime': 2}
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id: 15529
{'conductor': 65536, 'lmfdb_label': '65536.a.65536.1', 'modell_image': '3.6480.21', 'prime': 3}
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g2c_tamagawa • Show schema
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{'label': '65536.a.65536.1', 'local_root_number': -1, 'p': 2, 'tamagawa_number': 1}
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g2c_plots • Show schema
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{'label': '65536.a.65536.1', 'plot': 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VAED5%2BPFHW7jx6ac2y3fiH21hYVK3boHQ16mT9ewDUHYEQI%2BYNGmSJk6c6HYZAFAmR49KS5da6Pvss6INmSXp7LNtte7AgdKVV0r16rlTJ1DZ0QcwBISFhf3mIpCSZgBjY2PpAwggpDmOtG6dNH%2B%2BzfAtXWoLOgqFh9ss35VX2uja1fbgBVCxmAH0iMjISEVGRrpdBgD8pp07Lex9/rmN/fuLvt%2B0qc3yXXGF7cYRE%2BNOnYCfEQABAGVy8KC0eLH0xRc20tKKvl%2Bjhu21e/nlFvpat6ZNC%2BA2AqBLDh8%2BrM2bNx9/vXXrVqWmpiomJkbNmjVzsTIA%2BHWHD0vLlkkLF9pITi7aiDk8XIqPt5W6l18ude9ubVsAhA6eAXTJ4sWL1b9//2LHR48erSlTpvzm59kLGECwHD1qu20sWmRj9WopL6/oOa1bW%2BC79FKb7atb15VSAZwmAqBHEQABVJQjR6RVq%2By27uLF0ldfSTk5Rc9p3twaMReOxo3dqBTAmeIWMAD4XGamzfAtWWKrdFevtqbMJ2rSROrfPzBatHCnVgDlgwAIAD7z88/2DN%2BXX1rgS06W8vOLntOkid3K7dvXfp53Hgs3gMqEAOgxiYmJSkxMVP7Jf1oDQAkcR9q%2B3QJfYeg7ufmyJJ17rnTxxRb4%2BvaVWrYk8AGVGc8AehTPAAIoSV6etH69hb3ly23s3Fn8vDZtpD59LPT16SPRfADwF2YAAcDD0tNtwcaKFRb2vvrK2rScqEoVqXNnqXdvC3u9eknnnONOvQBCAwEQADzCcaSNG6WVK22sWCF9%2B23RHnySVKeO1KOHBb5evaSEBGvGDACFCIAAEKIyMmxF7sqVNsu3apXtunGyli2lnj1t9OoltWvHfroAfh0BEABCQH6%2BLc746qtA2NuwofjsXvXqUpcuNsPXs6f9bNjQnZoBeBcBEABcsGuXhb3Vq%2B3nmjXFn92TbHVu9%2B4W9Lp3lzp1kqpVC3q5ACoZAiAAVLD0dAt4X30lff21hb7du4ufV6uW7aGbkGBhr3t3qUGD4NcLoPIjAAJAOTp6VEpNtaBXONLSip8XESG1by9162aBLyHBWrPw7B6AYCAAegyNoIHQkZNjPffWrLHx9dfSN98U31VDsq3T4uMt8HXrZm1ZatYMfs0AINEI2rNoBA0EV26utVxZs0ZKSrKf69ZZCDxZgwZS164W9OLj7a/puwcglDADCAAnOTnsJSVZ2MvOLn7uWWdZwOvaNRD2mjZlGzUAoY0ACMDXsrPtNm5yso3CsFfSzF50tLVg6dIlEPpatCDsAfAeAiAA3zhyRFq7NhD2kpPtmb28vOLnRkfbc3pduwZCX6tWhD0AlQMBEECldOiQrcZNSQmEvbQ0qaCg%2BLkxMRb2unQJ/GzZkrAHoPIiAALwNMeR9uyxoFc4kpOlbdtKPr9hQykuLhD2OneWmjUj7AHwFwIgAM8oKJB%2B%2BKFo2EtJkfbvL/n8c8%2B1gBcXZ6NzZ6lRo6CWDAAhiQAIICRlZ9tK3MLbuCkp9vxeSdulhYdLrVsHgl5cnG2ZFhMT/LoBwAsIgB5DI2hURunpFvRODHsbNpS8OKN6dalDh6Jhr0MHqUaN4NcNAF5FI2iPohE0vMhxpF27LOAVhr3UVGnr1pLPP%2Bssm8krnNGLi7OZvir8rysAlAl/jAKoEHl50saNgZBXOA4cKPn85s0t5J0Y%2BFicAQAVgwAIoMyOHLHmySfewl2/Xjp2rPi5ERFSmzZFgx7P6wFAcBEAAZTKgQOBkFcY%2BDZuLLm/Xs2aUseORcNe%2B/b2HB8AwD0EQAAlchxp%2B/ai7VZSU6WdO0s%2Bv0GDojN6cXHSeefZCl0AQGghAAJQfr7tklHYRLkw7B06VPL5550XCHmFoY/%2BegDgHQRAwGeys23/2xPD3rp19hzfyapWldq2DTRRjouTLrpIYuE5AHgbARCoxI4csebJhXvhJidbc%2BXc3OLnFj6vd2LYa9dOqlYt%2BHUDACoWAdBjaASNUzl82G7bJiXZSE6Wvvuu5MUZZ50VCHmFP88/31boAgAqPxpBexSNoP3t8GG7dbtmTSDwpaXZwo2TNWhgIe/E0bw5/fUAwM%2BYAQRCXFaWzeytWRMIfN9/X3LYa9LEAl6XLjY6d5YaNw5%2BzQCA0EYABEJIdrYtyPj6axtr1tieuCXdxm3aNBD0CkeDBsGvGQDgPQTAcvLSSy/p2Wef1Z49e9SuXTu98MIL6tOnT4nnTpkyRWPGjCl2/OjRo6pOh1zfKGy9snq1hb3Vq23BRkkLNBo2lLp2leLjLeh17UrYAwCcOQJgOXjvvfd0//3366WXXlKvXr30yiuvaODAgdqwYYOaNWtW4mfq1KmjtLS0IscIf5Xbrl3SV19Z0Fu92mb3MjOLnxcTY0EvPt6CXteudmsXAIDywiKQcpCQkKDOnTvr5ZdfPn6sTZs2GjZsmCZNmlTs/ClTpuj%2B%2B%2B/XL7/8csZ/TxaBhLasLAt4X30lrVplP3fvLn5ejRo2o9etWyD0tWjBAg0AQMViBrCMcnJylJSUpPHjxxc5PmDAAK1YseKUnzt8%2BLCaN2%2Bu/Px8derUSY8//rji4uJOeX52drays7OPv87IyCh78SgXjiNt2iStXGlhb9Uqaf16u8V7ovBw2wc3IcECX7du1mS5Cv8WAgCCjP/0lNGBAweUn5%2BvBic9kNWgQQPt3bu3xM%2B0bt1aU6ZMUYcOHZSRkaEXX3xRvXr10tq1a3X%2B%2BeeX%2BJlJkyZp4sSJ5V4/Si8ry27hrlwprVhhge/nn4uf16SJhb2EBKl7d5vpq1kz%2BPUCAHAyAmA5CTvpnp3jOMWOFerevbu6d%2B9%2B/HWvXr3UuXNn/fOf/9Q//vGPEj/z0EMPady4ccdfZ2RkKDY2thwqx2/ZuVNavtzC3vLl1pLl5Nm9yEgLeD16WNjr3t1W6QIAEIoIgGVUr149RUREFJvt279/f7FZwVMJDw9XfHy8Nm3adMpzIiMjFRkZWaZa8dsKCqztypdfSsuWWeDbvr34eU2bSj17WuDr2VPq1Ikt0wAA3kEALKNq1aqpS5cuWrBggYYPH378%2BIIFCzR06NDT%2Bg7HcZSamqoOHTpUVJk4hdxca6y8dKmFvuXLpUOHip4TEWF75PbqZWGvVy%2BJyVcAgJcRAMvBuHHjdMstt6hr167q0aOHXn31Ve3YsUN33XWXJGnUqFFq0qTJ8RXBEydOVPfu3XX%2B%2BecrIyND//jHP5SamqrExEQ3fw1fyM625/cWL7bQt2KFdORI0XNq1rRbuL172%2BjeXapVy5VyAQCoEATAcnDDDTfo559/1mOPPaY9e/aoffv2mjt3rpo3by5J2rFjh8LDw4%2Bf/8svv%2BiOO%2B7Q3r17FR0drbi4OC1dulTdunVz61eotAoD36JFFvpWrpSOHSt6TkyM1KePdPHF9jMujpW5AIDKjT6AHkUfwJLl5UnJydLChTaWLZOOHi16ToMGFvb69bOfbdtaixYAAPyCeQ54muPYdmoLFkiffy4tWSKlpxc9p359C3v9%2B9vPCy%2Bk0TIAwN8IgPCcAwcs7M2fb8Fv586i79eta0HvkktstG1L4AMA4EQEQI9JTExUYmKi8k9uRFeJ5eXZVmqffip99pltsXbigwuRkbZY47LLpEsvlTp3tpW7AACgZDwD6FGV/RnA/fulefOkuXNtpu/kbZM7dJAGDLDRu7ftqQsAAE4PM4AICY5jO2zMnm1j9eqi78fESJdfLl15pXTFFVKjRu7UCQBAZUAAhGtycqw1y8yZ0iefFH%2BWr3Nn6aqrbHTrxm1dAADKCwEQQXX4sN3anTFDmjNHysgIvFejhs3yXX21NGgQs3wAAFQUAiAqXEaGNGuW9OGHtojjxEbMDRpIQ4ZIQ4fait2oKPfqBADALwiAqBCHD1voe%2B89W72bkxN4r1Ur6ZprpOHDpYQEmjADABBsBECUm5wcu707bZqFvxN34GjdWrr2WhsXXURfPgAA3EQARJk4jvXoe/NNm%2B07eDDw3nnnSTfcYKN9e0IfAAChggDoMaHSCHr3bgt9U6bYVmyFGjWSRo6UbrpJ6tKF0AcAQCiiEbRHudEIOj/fbvFOnmwreAszaI0a9kzfqFG2kIN2LQAAhDZmAPGb9u2TXntNeuUV6ccfA8d79ZLGjJGuv16qXdu9%2BgAAQOkQAHFKa9ZIL75oz/bl5tqxmBjp97%2BX/vAHqU0bV8sDAABniACIIgoKbFeO556Tli0LHE9IkMaOla67Tqpe3b36AABA2REAIclm%2BKZOlZ5%2BWvr%2BeztWtaqt4L33Xik%2B3t36AABA%2BSEA%2Blxurq3kfeopads2OxYdLf2f/yPdc4/UuLGb1QEAgIpAAPSp/Hxr2Pzoo9KWLXasfn1p3DgLf0FaWAwAAFxAAPShL76Q/vxnae1ae12/vjR%2BvHTnndbSBQAAVG4EQI8pSyPobduk%2B%2B%2BXPv7YXkdHSw8%2BKN13n1SzZvnWCQAAQheNoD2qNI2gc3Ol55%2BXJk6Ujh2zRs133y39v/8n1asXpIIBAEDIYAawklu/Xho9WkpJsdf9%2BkmJiVLbtq6WBQAAXBTudgGoGI5jTZy7drXwd9ZZ0n/%2BIy1cSPgDAMDvmAGshDIybLeOGTPs9dVX2/69DRu6WhYAAAgRBMBKZts2C3zffitVq2bP/o0dK4WFuV0ZAAAIFQTASuSbb6TLL5f27pUaNbIZwIQEt6sCAAChhgBYSXzzjS3w%2BPlnqUMHae5cqWlTt6sCAAChiABYCezcKV1xhYW/rl2lzz6TYmLcrgoAAIQqVgF7TGJiotq2bav4%2BHhJUna2NGyYtHu31K6dNH8%2B4Q8AAPw6GkF7VGEj6PvuS9eLL9ZRTIyUlCSde67blQEAgFBHAPSowgAYHp6ugoI6%2BvhjacgQt6sCAABewC1gjysokIYPJ/wBAIDTRwD0mh07pLFjld/8XEnSXF2pFy6e7m5NAADAU7gF7CWbNkm9e0v79ytDUrSkdEl1JOmxx6RHHnG1PAAA4A0EQC8ZOlSaNUuSigfA8HBp82apRQv36gMAAJ5AH8AycBxHmZmZQfl7Ze/erWqzZ6twR7eMk36qoEB69VXpoYeCUg8AAF5Xu3Zthfl0r1RmAMugcCUuAADwnvT0dNWpU8ftMlxBACyD0s4AxsfH6%2Buvvz6jv1f2wYOq1ratwo4elWQzf7GSftT/3gKWpKeeksaOPaPvL48ag/F95f2dGRkZio2N1Y8//lhufwiE%2Bu9cEd/HdSy7iriGUmj/zhXxnVzH0L2Oofg7%2B3kGkFvAZRAWFlaqfzEiIiLO/F%2BkOnWkm2%2BWJk8uevh/h2rUkO68084rgzLVGITvq6jvrFOnTrl9pxd%2B54qoUeI6lofyvIaSN35nrmPofqff/p32E9rABNHYMs7O6ZlnpC5dih12qlWT3n67XPaAK3ONFfx9FfWd5ckLv3OoX0OJ61hevPA7cx1D9zvLkx9/51DGLWCvOXZMmjZN%2B16booYrluop/R/1%2B8%2Bf1GPU%2BW5X5kmFz3H6%2BTmQ8sB1LDuuYfngOpYPrmPlFzFhwoQJbheBUqhSRYqL09EhV%2BvZZ5/VF/pC63Y11m23ST59jKHMIiIi1K9fP1WpwhMRZcF1LDuuYfngOpYPrmPlxgygRxX%2B31mtWuk6fLiOnn9eGjfO7aoAAIAX8Aygxz3%2BuP0cP15avtzdWgAAgDcQAD1uzBjpuuuk3FzbKOS779yuCAAAhDoCoMckJiaqbdu2io%2BPl2TP/b3xhhQfL/38s3TJJdKGDS4XCQAAQhrPAHrUySu0Dhyw8Ld%2BvXWDmTVL6tXL7SoBAEAoYgawkqhXT1q8WEpIkA4etDD4%2ButuVxUaXnrpJbVo0ULVq1dXly5d9OWXX57y3MmTJ6tPnz4666yzdNZZZ%2Bmyyy7T6tWrg1ht6CrNdTzRu%2B%2B%2Bq7CwMA0bNqyCKwx9pb2Gv/zyi8aOHatGjRqpevXqatOmjebOnRukakNXaa/jCy%2B8oAsvvFBRUVGKjY3Vn/70Jx07dixI1XrL0qVLNXjwYDVu3FhhYWGaOXOm2yWhghAAK5GYGOmLL6RrrpFycqQ//MGeETx82O3K3PPee%2B/p/vvv18MPP6yUlBT16dNHAwcO1I4dO0o8f/Hixbrxxhu1aNEirVy5Us2aNdOAAQO0a9euIFceWkp7HQtt375dDzzwgPr06ROkSkNXaa9hTk6OLr/8cm3btk0ffvih0tLSNHnyZDVp0iTIlYeW0l7HqVOnavz48Xr00Uf13Xff6fXXX9d7772nhx56KMiVe0NWVpYRbbD5AAAgAElEQVQ6duyo//mf/3G7FFQ0B56Unp7uSHLS09OLvZef7zhPPOE44eGOIzlOq1aOs2yZC0WGgG7dujl33XVXkWOtW7d2xo8ff1qfz8vLc2rXru385z//qYjyPONMrmNeXp7Tq1cv57XXXnNGjx7tDB06tKLLDGmlvYYvv/yy07JlSycnJycY5XlGaa/j2LFjnUsuuaTIsXHjxjm9e/eusBorC0nOjBkz3C4DFYQZwEooPFx6%2BGFp4UIpNlb64QepTx/p3nulzEy3qwuenJwcJSUlacCAAUWODxgwQCtWrDit7zhy5Ihyc3MVUw7b7HnVmV7Hxx57TOecc45uu%2B22ii4x5J3JNZw1a5Z69OihsWPHqkGDBmrfvr2eeuop5efnB6PkkHQm17F3795KSko6/ijHli1bNHfuXA0aNKjC6wVCGQGwEuvbV1q3Tvr97yXHkf75T6l1a2naNHtd2R04cED5%2Bflq0KBBkeMNGjTQ3r17T%2Bs7xo8fryZNmuiyyy6riBI94Uyu4/Lly/X6669r8uTJwSgx5J3JNdyyZYs%2B/PBD5efna%2B7cufrrX/%2Bq559/Xk8%2B%2BWQwSg5JZ3IdR44cqccff1y9e/dW1apV1apVK/Xv31/jx48PRslAyCIAVnJ161qbmPnzpVatpN27pZtuknr3llatcru64Ag7aY88x3GKHSvJM888o2nTpmn69OmqXr16RZXnGad7HTMzM3XzzTdr8uTJqlevXrDK84TS/LNYUFCg%2BvXr69VXX1WXLl00cuRIPfzww3r55ZeDUWpIK811XLx4sZ588km99NJLSk5O1vTp0zV79mw9XthFH/ApNvjzicsvl775RnruOWnSJGnFCqlHD1sw8sQTUps2bldY/urVq6eIiIhiMwP79%2B8vNoNwsueee05PPfWUPv/8c1100UUVWWbIK%2B11/OGHH7Rt2zYNHjz4%2BLGCggJJUpUqVZSWlqZWrVpVbNEh5kz%2BWWzUqJGqVq2qiIiI48fatGmjvXv3KicnR9WqVavQmkPRmVzHRx55RLfccov%2B8Ic/SJI6dOigrKws3XHHHXr44YcVHs48CPyJf/I95uRG0KVRvbr0179KGzfabeGwMGn6dKldO%2Bnmm6Xvvy//et1UrVo1denSRQsWLChyfMGCBerZs%2BcpP/fss8/q8ccf16effqquXbtWdJkhr7TXsXXr1lq/fr1SU1OPjyFDhqh///5KTU1VbGxssEoPGWfyz2KvXr20efPm4%2BFZkjZu3KhGjRr5MvxJZ3Ydjxw5UizkRUREyHEcOX54FgY4FTdXoODM/doq4NO1fr3jDBtmK4UlxwkLc5zrrnOc5ORyLNRl7777rlO1alXn9ddfdzZs2ODcf//9Ts2aNZ1t27Y5juM4t9xyS5HVg08//bRTrVo158MPP3T27NlzfGRmZrr1K4SE0l7Hk7EKuPTXcMeOHU6tWrWcP/7xj05aWpoze/Zsp379%2Bs4TTzzh1q8QEkp7HR999FGndu3azrRp05wtW7Y48%2BfPd1q1auVcf/31bv0KIS0zM9NJSUlxUlJSHEnO3/72NyclJcXZvn2726WhnBEAPao8AmChpCTHGTo0EAQlx7nsMseZN89xCgrKoViXJSYmOs2bN3eqVavmdO7c2VmyZMnx9/r27euMHj36%2BOvmzZs7koqNRx99NPiFh5jSXMeTEQBNaa/hihUrnISEBCcyMtJp2bKl8%2BSTTzp5eXlBrjr0lOY65ubmOhMmTHBatWrlVK9e3YmNjXXuvvtu59ChQy5UHvoWLVpU4p%2BBv/bvN7yJreA86uSt4MrD%2BvXSf/%2B39N57UmGnibZtpXvukW65RapZs1z%2BNgAAwGUEQI%2BqiABYaNs26YUXpH//O9A3MDpaGj1auuuuyrlgBAAAPyEAelRFBsBC6enWQiYxUdq8OXD84oul22%2BXRoyQoqIq5G8NAAAqEAHQo4IRAAsVFEgLFkgvvSTNnm2vJZsVvPFG2284Pt5WFQMAgNBHAPSoYAbAE%2B3cabOCr78ubd8eON6mjT0n%2BLvfSc2aBa0cAABwBgiAHuVWACxUUGB7Db/xhjRjhnT0aOC9iy%2B23UauvVY6%2B%2ByglwYAAH4DAdBjEhMTlZiYqPz8fG3cuNG1AHiijAzpgw%2Bkt9%2BWliwJ7DNcpYp02WXSDTdIQ4dKZ53lapkAAOB/EQA9yu0ZwFP58Ufp3XeladOklJTA8apVLQyOGGFhkC1iAQBwDwHQo0I1AJ5o40YLgx98YPsQF4qIsNvEw4dLw4ZJPtwZDAAAVxEAPcoLAfBE338vffih9NFHUmpq0fc6d5aGDLHRqROriQEAqGgEQI/yWgA80ZYttnBk5kxp%2BfLAM4OS1LSpNGiQdPXV0iWXSDVquFcnAACVFQHQo7wcAE%2B0f7/1Fpw1y3oNHjkSeK96dal/f2ngQBvnnedenQAAVCYEQI%2BqLAHwREePSosWWSCcM0fasaPo%2B%2BedJ11xhY3%2B/aVatdypEwAAryMAelRlDIAnchzp22%2BluXOlefOkZcukvLzA%2B1WrSj17SgMGSJdfbs8RRkS4Vy8AAF5CAPSoyh4AT5aRYbODn30mffqptHVr0fdjYmxW8NJLrd3MeeexmAQAgFMhAHpMKDaCDjbHkTZvtmcG58%2B3YJiRUfSc2FhbRHLJJRYMaTUDAEAAAdCj/DYD%2BGvy8qSvv5Y%2B/1z64gtp5UopJ6foOa1aSf36WRjs29dWGwMA4FcEQI8iAJ7akSPWXmbhQhtJSVJ%2BftFzWra0IHjxxfbz3HO5ZQwA8A8CoEcRAE9fRoYtIlm0yPYqTkqSCgqKntO0qdSnT2C0bSuFh7tTLwAAFY3/xJWR4ziaMGGCGjdurKioKPXr10/ffvvtr35mwoQJCgsLKzIaNmwYpIr9p04d6aqrpGeflVavlg4dsjYzf/mL1KOHVKWKtHOn7V98991Shw62V/HgwdLTT1t4PHbM7d8CAIDyU8XtArzumWee0d/%2B9jdNmTJFF1xwgZ544gldfvnlSktLU%2B3atU/5uXbt2unzzz8//jqCHiZBUxgIr7rKXh85Iq1aJX35pbR0qf31oUPWj3D2bDunWjWpSxepVy9rP9Ozp9SggXu/AwAAZcEt4DJwHEeNGzfW/fffr7/85S%2BSpOzsbDVo0EBPP/207rzzzhI/N2HCBM2cOVOpJ2%2BKWwrcAq44ubm2X/GyZYGxf3/x81q2tCDYo4eNDh1sNhEAgFDHf67KYOvWrdq7d68GDBhw/FhkZKT69u2rFStWnDIAStKmTZvUuHFjRUZGKiEhQU899ZRatmx5yvOzs7OVnZ19/HXGyX1PUG6qVpXi42386U/WduaHH6QVK2xxyfLl0oYNtqfxli3S22/b52rUsM90726BMCFB4s4%2BACAUEQDLYO/evZKkBifdC2zQoIG2b99%2Bys8lJCTozTff1AUXXKB9%2B/bpiSeeUM%2BePfXtt9/q7LPPLvEzkyZN0sSJE8uveJy2sDBrLH3eedKoUXbsl1%2Bkr76yljMrV9pfp6fbIpMlSwKfbdbMAmFCgo3OnaWoKHd%2BDwAACnELuBSmTp1aZFZvzpw56tevn3bv3q1GjRodP3777bfrxx9/1Keffnpa35uVlaVWrVrpwQcf1Lhx40o8p6QZwNjYWG4Bh4iCAum77%2Bz5wcJA%2BO23Nnt4oipV7FZxQoLUrZuN1q3Zxg4AEFzMAJbCkCFDlJCQcPx1YSDbu3dvkQC4f//%2BYrOCv6ZmzZrq0KGDNm3adMpzIiMjFRkZeQZVIxjCw6V27Wzcdpsdy8iwBtVffRUY%2B/ZJKSk2/vUvO69WLVtg0q2b3ULu2pW%2BhACAikUALIXatWsXWdnrOI4aNmyoBQsWKC4uTpKUk5OjJUuW6Omnnz7t783OztZ3332nPn36lHvNcE%2BdOrY38aWX2mvHkX780YLg6tU2kpKkw4eL3zquV8%2BCYGEg7NpVatzYnd8DAFD5cAu4jJ5%2B%2BmlNmjRJb7zxhs4//3w99dRTWrx4cZE2MJdeeqmGDx%2BuP/7xj5KkBx54QIMHD1azZs20f/9%2BPfHEE1qyZInWr1%2Bv5s2bn9bfl1XAlUN%2Bvi0o%2BfprG6tXS%2BvX20rkkzVqZEGwS5dAKKQVDQDgTDADWEYPPvigjh49qrvvvluHDh1SQkKC5s%2BfX2Sm8IcfftCBAweOv965c6duvPFGHThwQOecc466d%2B%2BuVatWnXb4Q%2BUREWHPBHboIN16qx07dkxat84C4Zo1NjZskPbskT75xEahJk0CobBLF1tkwspjAMBvYQbQo5gB9JesLHtuMCkpEArT0oovMpHsVnFhGCz82bgxzxQCAAIIgB5FAERmpjWsLgyFycnS99%2BXHArr17cgWDji4qQWLQiFAOBXBECPIgCiJIcPS2vXWihMSrJQ%2BN139qzhyerWtSDYubPUqZP9vPBCWtIAgB8QAD0mMTFRiYmJys/P18aNGwmA%2BE1Hj9ozhcnJFgpTUqRvvpFycoqfW6OGdNFFFgwLR/v2UvXqwa8bAFBxCIAexQwgyiInxxaWJCfbSEmxmcOsrOLnRkRIbdsGAmGnTjbq1g1%2B3QCA8kEA9CgCIMpbfr60aZOFwdRU%2B5mcLP38c8nnt2gRCISFP5s04blCAPACAqBHEQARDI4j7dwZ2L2kMBieaqvrc84JzBAWhsILLuC5QgAINQRAjyIAwk0HDwbCYGqqjVMtNomKsj6HJ95C7tDBnjcEALiDAOhRBECEmqNHbXFJYSAsfK7wyJHi54aH24rjE2cK4%2BJsCzwAQMUjAHoUARBekJ8vbd5cdKYwJUXav7/k85s0Kf5cIf0KAaD8EQA9igAIL9uzJxAGC8Ph5s0lnxsdXfS5wrg4qU0bqWrV4NYMAJUJAdCjCICobDIz7ZbxicHw229L7ldYrZr1JzyxX%2BFFF0m1agW/bgDwIgKgx9AIGn6Sk2OLS05cgZyaKmVkFD83LMxWHJ8YCjt3ls4%2BO/h1A0CoIwB6FDOA8CvHkbZuDcwSFo49e0o%2Bv1mzQBgs3Ae5cWOeKwTgbwRAjyIAAkXt2xdoXl0YCn/4oeRz69cPBMLCce65hEIA/kEA9CgCIPDb0tOL7mqSnGy3lAsKip971llSly6BQNili9SqFaEQQOVEAPQoAiBwZo4ckdavtzCYlGQ/v/lGys0tfm50dCAMFo5WrayPIQB4GQHQowiAQPnJzrYQWDhLmJQkrVtnx08WHR0Ig1272qBXIQCvIQB6FAEQqFi5udaGpjAQrlljbWpKCoUxMYFAGB9vo0kTQiGA0EUA9CgCIBB8haFwzRobhTOFJfUqbNgwEAYLBy1pAIQKAqBHEQCB0JCTYyGwMBR%2B/bWFxPz84ue2amVBsFs3G507S1FRwa8ZAAiAHkMjaCD0HTliq4%2B//lpavdp%2BbtpU/LyICNvBJCEhMC68kEUmACoeAdCjmAEEvOXQIQuChaHwq6%2Bsd%2BHJoqNtdjAhQere3Qa3jgGUNwKgRxEAAW9zHOnHHy0Irl4trVplzxQePVr83PPPtyDYo4eN9u2lKlWCXzOAyoMA6FEEQKDyycuzHoWrVlkwXLVKSksrfl7NmjZL2KOH1LOn/YyJCX69ALyLAOhRBEDAHw4eDITBlSvtrzMyip/Xpo2FwZ49pV69pAsuoA0NgFMjAHoUARDwp4ICacMGC4MrVtjYuLH4efXqWRDs3dt%2BdukiVasW/HoBhCYCoEcRAAEUOnAgEAaXL7eFJic3rK5e3RaW9O4t9eljt435owPwLwKgRxEAAZxKTo4tKFm2zALh8uUWEk8UHi7FxVkYvPhi%2B1mvnjv1Agg%2BAqBHEQABnC7HscUkX35pofDLL6WtW4uf166dhcG%2BfW00bBj8WgEEBwHQY2gEDaA87NxpQXDpUhsbNhQ/58ILpX79AoNACFQeBECPYgYQQHn66ScLhEuWWCBcu9ZmDk/UurXUv7%2BNfv2kc85xpVQA5YAA6FEEQAAV6dAhC4JLlkiLF9vWdif/1%2BKii6RLLrFx8cW2iwkAbyAAehQBEEAwHTxogXDhQguE69cXfT8iQoqPly67zEb37lJkpCulAjgNBEAXTJ8%2BXa%2B88oqSkpL0888/KyUlRZ06dSrVdxAAAbhp/34Lgl98YaFw8%2Bai70dF2azg5ZdbILzoIhpTA6GEAOiCt956S1u3blXjxo11%2B%2B23EwABeN727RYEP//cQuG%2BfUXfb9DAguAVV1goZEEJ4C4CoIu2bdumFi1aEAABVCqOI33zjbRggQXCJUukI0eKntOxo4XBK66wnUq4XQwEFwHQRaUJgNnZ2co%2BobV/RkaGYmNjCYAAQl52tu1SMn%2B%2BjeTkou/XrGkLSa680kbLlu7UCfgJAdBFpQmAEyZM0MSJE4sdJwAC8JqffrLZwU8/tUB48u3iCy%2BUBg6UrrrKniNkdhAofwTACjZ16lTdeeedx1/PmzdPffr0kcQMIAAUFFjPwU8/tbF8uZSfH3i/Zk3p0kulQYMsEDZt6l6tQGVCAKxgmZmZ2nfC/942adJEUVFRkngGEABOlp5us4Pz5tnYs6fo%2B506SVdfbSM%2B3vY0BlB6BEAXEQAB4NQcR0pJkebOlebMkb76qmgz6gYNbFZwyBBbWVyzpnu1Al5DAHTBwYMHtWPHDu3evVuDBg3Su%2B%2B%2BqwsvvFANGzZUw9PsjUAABOA3P/1ks4KzZ9vt4szMwHuRkdZmZuhQafBg2swAv4UA6IIpU6ZozJgxxY4/%2BuijmjBhwml9BwEQgJ/l5NjOJJ98Is2aJW3bFngvLExKSLAwOHy4LSoBUBQB0KMIgABgHEf69lvp448tDK5eXfT91q0tCA4fLnXtyo4kgEQA9CwCIACUbPduC4IzZkiLFkm5uYH3YmMtCI4YYQ2oIyLcqxNwEwHQowiAAPDb0tNtAcnMmbaYJCsr8F79%2BhYGr71W6tdPqlLFtTKBoCMAekxiYqISExOVn5%2BvjRs3EgAB4DQdPWqNp2fMsNvFv/wSeO/ss6Vhw6TrrrNdSapWda9OIBgIgB7FDCAAnLncXGnhQunDD2128MCBwHtnn20zg9dfL/Xvz8wgKicCoEcRAAGgfOTlSUuWWBj86CNrN1PonHOka66RRo6U%2BvThmUFUHgRAjyIAAkD5y8uz9jLvv29h8MSZwcaNbVZw5EipWzdWE8PbCIAeRQAEgIqVl2e3id99154bPPGZwVatpBtvlG66SWrTxr0agTNFAPQoAiAABE92tvTZZxYGP/5YOnIk8F6nTtLvfmeBsEkT92oESoMA6FEEQABwR1aW9Rl85x3bki4vz46HhdkK4ptvtucG%2BaMZoYwA6FEEQABw388/Sx98IE2dKi1bFjgeFWVtZUaNsj2KWUmMUEMA9CgCIACElm3bLAi%2B9ZaUlhY43rCh3SL%2B/e%2Bl9u3dqg4oigDoMTSCBoDQ5jjSmjXSm2/aM4MnriTu3NmC4E03Wb9BwC0EQI9iBhAAQl9Ojm1B9%2Bab0uzZgX2Jq1WThgyRxoyRBgzgFjGCjwDoUQRAAPCWAwekadOkN96QUlICxxs3lkaPlm69VTrvPPfqg78QAD2KAAgA3rV2rQXBt9%2B2hSSF%2BvaV/vAHacQIW0gCVBQCoEcRAAHA%2B7KzpU8%2BkV5/3foMFv4XuW5daydz%2B%2B3SRRe5WyMqJwKgRxEAAaBy%2BfFHmxX897%2Bl7dsDxxMSpDvukG64QapZ0736ULkQAD2KAAgAlVNBgbRggfTaa9LMmYFG03Xq2KzgXXdJHTq4WyO8jwDoUQRAAKj89u2TpkyRXn1V2rIlcLxXLwuC114rVa/uWnnwMAKgRxEAAcA/CgqkL76QXnnFZgXz8%2B342WdLt90m3Xmn1LKluzXCWwiAHkMjaADwtz17bNHIK69IO3fasbAw6aqrpLvvlq68UgoPd7dGhD4CoEcxAwgA/paXJ82ZI730kjR/fuB4q1YWBG%2B91VYTAyUhAHoUARAAUGjTJunll20FcXq6HatRwxaN3Huv1K6du/Uh9BAAPYoACAA4WVaWNHWq9D//I61fHzh%2BySXSffdJgwZJERHu1YfQQQD0KAIgAOBUHEdaulT6xz9s0UhBgR1v2dJmBMeMsbYy8C8CoEcRAAEAp2P7dntOcPJk6dAhO1a7tq0evvdeqUULd%2BuDOwiAHkUABACURlaW9NZb0osvSt9/b8fCw6Xhw6U//1nq0cPd%2BhBcLBQHAMAHata05tHffivNmycNGGC3hj/6SOrZ0wLghx8GegyiciMAAgDgI%2BHh1ivws89socitt0rVqkmrVknXXSddcIEtIsnKcrtSVCRuAXsMjaABAOVt714pMdGeFTx40I7FxEh//KONc85xtz6UPwKgR/EMIACgvGVl2d7Df/tbYO/h6tVtlvDPf2a7ucqEW8AAAECSPSc4dqy0caP0/vtS167SsWM2M3j%2B%2BdKNN0qpqW5XifJAAAQAAEVERNjzgKtXSwsXSldcYQtG3n1XiouzfYe//NLtKlEWBMAymj59uq644grVq1dPYWFhSj2N/zWaMmWKwsLCio1jx44FoWIAAE5PWJjUv7/06adSSoo0cqQtIpk3T7r4Yql3b2nuXGs8DW8hAJZRVlaWevXqpf/%2B7/8u1efq1KmjPXv2FBnVq1evoCoBACibTp2kadPs9vCdd9rK4eXLbXu5zp2thUzhjiMIfVXcLsDrbrnlFknStm3bSvW5sLAwNWzYsAIqAgCg4rRqJf3rX9Kjj0rPP29/nZpqt4zbtJH%2B679sprAKCSOkMQPoksOHD6t58%2BZq2rSprr76aqWkpLhdEgAAp61RI%2Bm552yruUcekaKjpe%2B%2Bk265RWrdWvr3v6XcXLerxKkQAF3QunVrTZkyRbNmzdK0adNUvXp19erVS5s2bTrlZ7Kzs5WRkVFkAADgtrPPlh57TNqxQ3rqKalePemHH2yv4fPPl159VcrJcbtKnIwAWApTp05VrVq1jo8vz3AJVPfu3XXzzTerY8eO6tOnj95//31dcMEF%2Buc//3nKz0yaNEnR0dHHR2xs7Jn%2BGgAAlLs6daSHHpK2bbOZwQYNbHbwzjstCL7yCkEwlNAIuhQyMzO1b9%2B%2B46%2BbNGmiqKgoSfYMYIsWLZSSkqJOnTqV%2Brtvv/127dy5U/PmzSvx/ezsbGVnZx9/nZGRodjYWBpBAwBC0pEj0uTJ0tNPS3v22LFmzewZwTFjbBEJ3MMMYCnUrl1b55133vFRGP7KynEcpaamqlGjRqc8JzIyUnXq1CkyAAAIVTVqSPfdZ7eDX3zRnhncsUO66y7bb/i113hG0E0EwDI6ePCgUlNTtWHDBklSWlqaUlNTtXfv3uPnjBo1Sg899NDx1xMnTtRnn32mLVu2KDU1VbfddptSU1N11113Bb1%2BAAAqUlSUdO%2B9trXciy9KDRvareHbb7fFIv/5j5SX53aV/kMALKNZs2YpLi5OgwYNkiSNHDlScXFx%2Bte//nX8nB07dmhP4fy3pF9%2B%2BUV33HGH2rRpowEDBmjXrl1aunSpunXrFvT6AQAIhurVA0Hw73%2BX6te3v/7976V27WyXEfoIBg/PAHpURkaGoqOjeQYQAOBJWVlSYqL0zDPSzz/bsYsukh5/XBo82HYhQcVhBhAAAARdzZrSgw/aLOBjj9kq4nXrpKFDpR49pC%2B%2BcLvCyo0ACAAAXFOnjjWS3rrV2sjUqCF99ZV02WU2Vq92u8LKiQDoMYmJiWrbtq3i4%2BPdLgUAgHITE2ONpH/4QbrnHqlqVZsFTEiQRoywXUZQfngG0KN4BhAAUJlt2yZNmCC99ZYtDgkPt/6BEyZITZu6XFwlwAwgAAAIOeeeK02ZEngusKBAev1121Vk/Hjp0CG3K/Q2AiAAAAhZ7dpJM2dKy5dLvXtLx47Z7iKtWknPP2%2BvUXoEQAAAEPJ69pSWLpVmzbJQeOiQ9MAD1kx66lR6CJYWARAAAHhCWJj1CFy71m4HN25su4rcfLPUrZu0eLHbFXoHARAAAHhKRIR0663Spk3SE09ItWtLSUlS//7S6NFuV%2BcNBEAAAOBJNWpIDz8sbd4s3X23BcOOHd2uyhtoA%2BNRtIEBAKCotDRbPRwZ6XYloY8ZQI%2BhETQAACW78ELC3%2BliBtCjmAEEAABnihlAAAAAnyEAAgAA%2BAwBEAAAwGcIgAAAAD5DAAQAAPAZAiAAAIDPEAABAAB8hgDoMTSCBgAAZUUjaI%2BiETQAADhTzAACAAD4DAEQAADAZwiAAAAAPkMABAAA8BkCIAAAgM8QAAEAAHyGAAgAAOAzBECPoRE0AAAoKxpBexSNoAEAwJliBhAAAMBnCIAAAAA%2BQwAMstzcXP3lL39Rhw4dVLNmTTVu3FijRo3S7t273S4NAAD4BAEwyI4cOaLk5GQ98sgjSk5O1vTp07Vx40YNGTLE7dIAAIBPsAgkBHz99dfq1q2btm/frmbNmp3WZ1gEAgAAzhQzgCEgPT1dYWFhqlu3rtulAAAAH6jidgF%2Bd%2BzYMY0fP1433XTTr87kZWdnKzs7%2B/jrjIyMYJQHAAAqIWYAK9jUqVNVq1at4%2BPLL788/l5ubq5GjhypgoICvfTSS7/6PZMmTVJ0dPTxERsbW9GlAwCASopnACtYZmam9u3bd/x1kyZNFBUVpdzcXF1//fXasmWLFi5cqLPPPvtXv6ekGcDY2FieAQQAAKXGLeAKVrt2bdWuXbvIscLwt2nTJi1atOg3w58kRUZGKjIysqLKBAAAPkIADLK8vDxde%2B21Sk5O1uzZs5Wfn6%2B9e/dKkmJiYlStWjWXKwQAAJUdt4CDbNu2bWrRokWJ7y1atEj9%2BvU7re%2BhDQwAADhTzAAG2bnnnisyNwAAcBOrgAEAAHyGAAgAAOAzBEAAAACfYRGIRzmOo8zMTNWuXVthYWFulwMAADyEAAgAAOAz3AIGAADwGQIgAACAzxAAAQAAfIYACAAA4DMEQAAAAJ8hAAIAAPgMARAAAJbJkOcAAAEaSURBVMBnCIAAAAA%2BQwAEAADwGQIgAACAzxAAAQAAfIYACAAA4DMEQAAAAJ8hAAIAAPgMARAAAMBnCIAAAAA%2BQwAEAADwGQIgAACAzxAAAQAAfIYACAAA4DMEQAAAAJ8hAAIAAPgMARAAAMBnCIAAAAA%2BQwAEAADwGQIgAACAzxAAAQAAfIYACAAA4DMEQAAAAJ8hAAIAAPgMARAAAMBnCIAAAAA%2BQwAEAADwGQIgAACAzxAAAQAAfIYACAAA4DMEQAAAAJ8hAAIAAPgMARAAAMBnCIAAAAA%2BQwAEAADwGQIgAACAzxAAAQAAfIYACAAA4DMEQAAAAJ8hAAIAAPgMARAAAMBnCIAAAAA%2BQwAEAADwGQIgAACAz/x/YgjG%2BRMj6PIAAAAASUVORK5CYII%3D'}