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g2c_curves • Show schema
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{'Lhash': '1415693913564733379', 'abs_disc': 214272, 'analytic_rank': 0, 'analytic_rank_proved': False, 'analytic_sha': 1, 'aut_grp_id': '[2,1]', 'aut_grp_label': '2.1', 'aut_grp_tex': 'C_2', 'bad_lfactors': '[[2,[1,0,-1]],[3,[1,1,1]],[31,[1,6,24,-31]]]', 'bad_primes': [2, 3, 31], 'class': '1116.a', 'cond': 1116, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[0,-1,1,2,1],[1,0,0,1]]', 'g2_inv': "['-371293/214272','37349/3968','-169/5952']", 'geom_aut_grp_id': '[2,1]', 'geom_aut_grp_label': '2.1', 'geom_aut_grp_tex': 'C_2', 'geom_end_alg': 'Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': False, 'igusa_clebsch_inv': "['52','22201','238285','-27426816']", 'igusa_inv': "['13','-918','36','-210564','-214272']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '1116.a.214272.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.4354897184053580601066377553032758821235928251447350847', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.10.1', '3.80.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 3, 13], 'non_solvable_places': [], 'num_rat_pts': 8, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '16.984099017808964344158872457', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'USp(4)', 'st_label': '1.4.A.1.1a', 'st_label_components': [1, 4, 0, 1, 1, 0], 'tamagawa_product': 39, 'torsion_order': 39, 'torsion_subgroup': '[39]', 'two_selmer_rank': 0, 'two_torsion_field': ['6.0.53568.1', [1, 2, 0, 0, 2, -2, 1], [6, 13], False]}
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g2c_endomorphisms • Show schema
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{'factorsQQ_base': [['1.1.1.1', [0, 1], -1]], 'factorsQQ_geom': [['1.1.1.1', [0, 1], -1]], 'factorsRR_base': ['RR'], 'factorsRR_geom': ['RR'], 'fod_coeffs': [0, 1], 'fod_label': '1.1.1.1', 'is_simple_base': True, 'is_simple_geom': True, 'label': '1116.a.214272.1', 'lattice': [[['1.1.1.1', [0, 1], [0]], [['1.1.1.1', [0, 1], -1]], ['RR'], [1, -1], 'USp(4)']], 'ring_base': [1, -1], 'ring_geom': [1, -1], 'spl_fod_coeffs': [0, 1], 'spl_fod_gen': [0], 'spl_fod_label': '1.1.1.1', 'st_group_base': 'USp(4)', 'st_group_geom': 'USp(4)'}
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g2c_ratpts • Show schema
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{'label': '1116.a.214272.1', 'mw_gens': [[[[-1, 1], [0, 1], [1, 1]], [[-1, 1], [-2, 1], [0, 1], [0, 1]]]], 'mw_gens_v': True, 'mw_heights': [], 'mw_invs': [39], 'num_rat_pts': 8, 'rat_pts': [[-1, -1, 1], [-1, 1, 1], [0, -1, 1], [0, 0, 1], [1, -3, 1], [1, -1, 0], [1, 0, 0], [1, 1, 1]], 'rat_pts_v': True}
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g2c_galrep • Show schema
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id: 301
{'conductor': 1116, 'lmfdb_label': '1116.a.214272.1', 'modell_image': '2.10.1', 'prime': 2}
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id: 302
{'conductor': 1116, 'lmfdb_label': '1116.a.214272.1', 'modell_image': '3.80.1', 'prime': 3}
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g2c_tamagawa • Show schema
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id: 5009
{'label': '1116.a.214272.1', 'p': 2, 'tamagawa_number': 13}
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id: 5010
{'cluster_label': 'cc2_1~2c2_1~2c2_1~2_0', 'label': '1116.a.214272.1', 'p': 3, 'tamagawa_number': 3}
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id: 5011
{'cluster_label': 'c4c2_1~2_0', 'label': '1116.a.214272.1', 'p': 31, 'tamagawa_number': 1}
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g2c_plots • Show schema
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{'label': '1116.a.214272.1', 'plot': 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SaqrUu7c0f77T1YQHAiCCLi5OmjNHeuABu/3MM1LfvtKePc7WBZSGz%2BfT6NGj1b17d7Vv377Ajxk3bpzi4%2BNzW2JiYjlXCUS%2BrVul55%2BXevSQEhKkP/7Rph7NnOl0ZeGBIWCUq3fekW64wTaNbtzYflC7dnW6KqD4Ro4cqXnz5umLL75Q48aNC/yYrKwsZWVl5d72er1KTExkCBg4RZs2SbNmSW%2B/LS1dmv%2Bxzp2lq6%2B21qyZI%2BWFFQIgyt1PP0lXXSX9/LNUsaL01FPS3XfbCmIglN15552aM2eOFi9erObNmxf7ecwBBEpv40YLfO%2B8I/3vf4H7PR6pWzcLfAMHSnS0lwwBEI44cEC6%2BeZAV33//tK//y3Vru1sXUBBfD6f7rzzTr377rtauHChkpKSSvR8AiBQMhs2WOh7%2B23pm28C93s8trWYP/Q1auRcjeGOAAjH%2BHzSxInSPfdIR4/aHI633pLOP9/pyoD8RowYoalTp%2Bq9995TmzZtcu%2BPj49XlSpVTvp8AiBwcv7QN3OmtHx54P6oKKlnT9tebOBAqX5952qMJARAOG7lSjtHeM0ae3d3//3SI49IlSs7XRlgPIXMT3j99dd1ww03nPT5BECgYBs3WuD7fU9fVJR1BvhDX716TlUYuQiACAkHD9o8wNdes9tnnim9%2BaZUyCJLIKwQAIGATZsCPX15DwiIipJ69bLQN2AAoS/YCIAIKbNnS7feKu3daz2Ajzxi%2BwZWrOh0ZUDpEQDhdlu2BELf118H7qenzzkEQIScnTulW26RPvjAbqek2AIRegMRrgiAcKPt223l7owZdiCAn38hx%2BDBzOlzEgEQIcnnk954w4aFMzKkSpWkMWOkBx%2B0I%2BWAcEIAhFvs2mX79M2YIS1ZYr/LJQt93btL11xjK3gbNHC2ThAAEeK2b5fuuEOaO9duJyVJL79sx/0A4YIAiEi2d69N35k%2BXVq4UMrJCTx27rmB0JeQ4FiJKAABECHP57N3lKNG2XmPknTttdLTT7MHFMIDARCRZv9%2BO%2BJzxgzp00/zn%2B%2BekmLDu4MGSU2aOFcjikYARNjIyJAeesj2DszJkapVkx5%2B2IaJo6Odrg4oHAEQkeDgQZubPX269NFHtn%2Br35lnWui75hqpRQvnakTxEQARdlaskEaODJwD2aKFHSc3cCDHySG0pKamKjU1VdnZ2VqzZg0BEGEnM9PC3vTp0vvvS0eOBB5LTpaGDLHQl2d/dIQJAiDCUk6OnRoyZkxgWLhbNwuC557rbG3A79EDiHBy7Ji0YIGFvjlz7OhOv5YtLfQNGcLODOGOAIiwdvCghb6nnw68M%2B3fX/rb36QOHZytDfAjACLUZWdLixdb6HvnHenXXwOPJSZaL9%2BQIdJZZzHSEikIgIgI27ZJY8fafoE5OfYL6ppr7L62bZ2uDm5HAEQo8vlsU%2BZp02yTZv9oimR78119tS2469rVNmxGZCEAIqL8/LP0f/9nv8wkC4KDB9v%2BgfQIwikEQIQKn0/6/nvr6Zs%2B3c7i9atZU7rqKuvp69mTE5giHQEQEWnlSjtGbs6cwH39%2B0v3388cQZQ/AiCclp5ugW/aNCktLXB/tWrSFVdYT1%2BfPnYEJ9yBAIiI9t130uOP25wW/3d6167Sn/5kv/R4h4vyQACEE7ZutX36pk2Tli8P3B8dLV16qYW%2Bfv2kqlWdqxHOIQDCFVavlv7%2Bd%2BnNNwN7VzVtatvJ3HSTVKtWIU/0%2Bexso%2BhoGx8BSoEAiFOWkSEdPmyT84qYkLdnj73hnT7dFnX4VaggXXihhb4rr5Ti48uhZoQ0pnXCFdq0kf71L2nTJttMunZtu/7nP9vxRDfeaPsK5ns79MortoKkYUNLiL165f%2BNCgDBtny5ddfVqmVHH7VoIT3zTL5fVl6vNHmydMkl9utqxIjAr6oePaSXXrIFHh9/LA0fTviDoQcQrnTkiDR1qjRhgs0X9Gvf3noEb938F1X9x%2BMnPrFSJdsKv0%2Bf8isWYY8eQJTK//5nbzwPHz7hoeP/7xa9d%2Bkrmj7dfiVlZgYe69TJevoGD7YtXICCEADhaj6f9fxNnGgrhzMzpUbapk1qqorKLvhJ7dtLP/xQvoUirBEAUSq9e0uff17ow%2B31g1bJdmNu08ZC35AhnMqB4iEAAr/Zt896BbOe/IdGbx1d9Ad//z37yqDYCIAosR07bMi3CKmxY7Tp9nG69lo7i5cNmlESrIEEflOzpi0K0e790qNFf%2BzS%2BRnq2NrWhgCFyXsWMFBcPp%2BU9lWGkk/ycSOuy5DnqXIpCRGIHkDg9%2BbMkQYMKPThTEWrsbbqaGwdXXyx7S94ySW2sAQoCD2AKI41a2zLlmnTpI2rM7VdjVRL%2Bwp/wiuvSLfcUn4FIqIQAIHfy86WWrXKv0V%2BHl%2B2vVFXZ/w737FJUVFS584WBPv2tfMyK1Qon3IR%2BgiAKMyWLYG9%2BlasCNwfEyNNa3K/rlxTSBeffyuDatXKp1BEHAIgUJAffrAklzflSbanwrx5yqkWq2XLpLlzbQXe99/n/zD/rjEXXmiXrVszP8fNCIDIy79X37Rp0pIlgfsrVJAuukgaOtQ2qo%2BLOWpns33wQf5PULOm9P77Urdu5Vs4IgoBECjMoUO2KmTxYns7PnCgdPHFBSa5LVukjz6S5s%2BXPv3U9uXKq2FDO1uzZ0%2Bpe3cpOZnD1d2EAIiMDJtdMm2a/Y7IOy30vPNs9e6gQVKdOgU8eeFC6yY8cEA65xw280OZIAACZez4cdu%2B67PPrH31VeD0Eb%2BaNe1IunPPlbp0sd/psbHO1IvgIwC60%2BHD1nk3fbr04YdSVlbgsbPOCuzV17ixczXCvQiAQJAdOWJ7DS5aZMM9S5eeuK%2BrxyOddpoFwbPPtnb66VKVKs7UjLJFAHSPo0elTz6xnr733rOBBL/TTgvs1ZeU5FyNgEQABMrdsWN2%2BsiXX1rv4NKlNpf79ypUsKHiTp2kM86QOna0S44kDj8EwMh2/LiN0k6fLs2aJe3fH3isWTMLfEOG2Js65gIjVBAAgRCwc6e0bFmgLV9uE8UL0rix7UHtb%2B3a2ZHF9BaGLgJg5MnJkf77Xwt977wj7d4deKxhQ5vPd%2B21tjsAoQ%2BhiAAIhCCfT9q61baF%2BPZb6bvvrG3YUPDHezxSy5bWY3jaaYHWtq1E3nAeATAy%2BHw2v3fGDGnmTGnbtsBjtWvbgt0hQ2xRB9tAIdQRAIEwkpEh/fij7VLjbz/%2BaMfYFaZBAzsbtE0b247G31q0kCpVKr/a3YwAGL58PnsTNnOmtbxvwuLibM/4IUOkCy7g5wnhhQAIhDmfT9q1S/rpJ2tpadZ%2B/vnEbQzzqlDB5iclJdm%2B1/7WsqXUvDnH3JUlAmB48fnszZU/9KWnBx6rVs1O/xk82HaF4ucE4YoACESwjAxp9Wo7Ymr16sD19PQTVyLn5fFITZpYGGzZ0noL817WqFF%2BX0MkIACGPp9PWrUqEPpWrw48FhMj9etnoa9fP6lqVefqBMoKARBwIZ/PegfT0wNt7Vpr69bl37qiIDVrWhj0N384bN7cgmPFiuXzdYS61NRUpaamKjs7W2vWrCEAhhifz3rNZ86U3n7bes79oqOth2/wYOnyy6Xq1Z2rEwgGAiCAfHw%2BW9HoD4Pr1knr1weu513tWJAKFSwE5g2IzZsHrteq5b5VkfQAhg7/8O4771jo%2B/nnwGOVK1voGzTIhnn5r0IkIwACKJGDB20i/Pr1gWDov75xY/7TDgoSH2%2BB0D/X0N%2BD2LKlBcdInEhPAHSWfyHHO%2B/YPn1r1gQeq1zZjv32hz5OWINbEAABlJmcHBta3rAhfzD0B8aiFqVIgd5DfyD0t1atLCiG6zAcAbD85eRIX39tgW/WLHtz4hcdHQh9l19O6IM7EQABlJsjR/L3HuYdWt6wQcrMLPr59etbGPz9yuWkpNAeriMAlo9jx%2BzIxXfflebMkbZvDzxWpYp06aW2V99ll3H2NkAABBAS/L2HeUNh3rZ3b9HPr1fPgmDr1oHL1q0tIDp9SgoBMHgOHbKzd%2BfMkd5/P/%2BemHFxFvauusp6/KpVc65OINQQAAGEhf37AyuV/c2/ermohSkej5SYaKeitG4d2BS7bVs7Vq88FqQQAMvW7t3SBx9I771n4S9vz3GdOtIVV0gDB9rmzOzTBxSMAAgg7Hm9%2Bbe08e97mJ5uwbEw1asHAmHeI/RatbLFAWVXHwHwVPi3a5k713r5li61%2B/yaNZOuvNJO5ejWjWPYgOIgAAKIWD6f9MsvgU2w87Z166Tjxwt%2BXoUKFgKTk6V27ewyOdmCYkxMCQrYtk2aMEHeuXMV/9NPyrj9dsXdd5%2BtaEGRMjOlhQulefOsty/vIg5JOussW7V75ZVShw7u21oIOFUEQACudOyYhcCff7bmP0IvLc22uilIVJStSm7XLtDat7dgeEKP4Xff2Rjk3r3ySoqXlCEprnp16cMPpR49gvsFhqF166SPP7b22We2aMgvOlrq3dtC32WX2fA9gNIjAAJAHj6fddylpdmw46pVgXOW8y4wyKtiRVt40r699UZ16CBd8mBHRaetlKT8AVCyvW7Wr3f9WGVGhvXyLVggzZ9v8znzSkiwlbuXXWZZmkUcQNkhAAJAMfh80s6dFgj97ccf7dLrzf%2BxZ%2BkbfaOU3NsnBEDJxjYvvbR8ig8RR45IX30lff659Omn0rJlUnZ24PGKFW0O38UXS5dcIp1%2BOkO7QLBwYucp8Pl8OnDggNNlACgn1apJ55xjzS9vj2FamgXCel/%2BIO/mwMd4f3cpSal3pmn9u9112mk2lNy2rZ2xHEm8Xgt5X35pbdkyG3rPq0ULqVcv6%2BHr0SP/fo78ekWwxcbGyuPSdxn0AJ4C/8o%2BAAAQfty8Mp8AeAqK6gFMSUnRsmXLSvw5S/u80j7X6/UqMTFRW7ZsKdUPQbh8nafyvFN5jcLp6yztc930PVTc52ZlZalit26qkJ4uyXr%2BEiVtkQ0BH61VX7MfXaWf0itp1SrrOdy2rfDPFxX1q845p5aSkgJnJ7doYWcpF3U8XrC%2Bzl9/tYUz/rmR339vw%2BF5F234NWkide1qQ7vdulntBXW48HNWNDf9nJXn72o39wAyBHwKPB5Pod9kFSpUKNUPaWmfd6rPjYuLK9d6nfg6T%2BXflEr3GoXb18n3UBk%2Bd/JkqU%2BffOOYcZLiYmKkqW/o1r6183241xsYQvYvPElLkzZtknJy4rR0qe1/93t160pNm9pm14mJtjq2YUM7Nu/YsXbavz9ONWpYUIyKKrrk7GyrY98%2B6ejRM7VoUZy2bZO2bAkc4bd2beGnslSvLuXkLNOIESnq0sWCX6NGJ3%2Bp8uLnrGhu%2BDlz4ne1GxEAg2TkyJHl%2BrxTfW55/5tOfJ3h9PqcynP5HgqR53bpIq1YIf3jH8p57z1p2zYdveYa6S9/sWXCvxMXJ3XubC2vw4elRx%2BdoTPOGKzVq/OfgPLrr9KePda%2B%2BaagImaradPArSpVrFWubAuQfT47gu/oUeu9y9%2BDN0P9%2Bxf%2B5TVpYque27eXzjhD6tTJVkK//PL/NHJkSuFPDAJ%2BzoL3b4bba4viYwjY5Tih4OR4jYrG63NyW7duzR2aalyGG9jt328bJG/aZL10W7bYUPKOHXZc2p49FhJ/v/DiZKpUsSPV6te3HrzEROtl9A8/t2pV9NBzafB9VDRen5PjNSoZegBdLjo6Wn/9618VzYGZheI1Khqvz8n5X5uyfo1q1JDOPNNaYXw%2BO1XjwAHp0CHr5Tt61IZ7PR4bFo6OttBXrZr1RDrxX8n3UdF4fU6O16hk6AEEgCCjZwJAqDnJlGAAAABEGgIgAACAyxAAAQAAXIYA6AKzZ89W3759VadOHXk8Hq1cufKkz5k0aZI8Hs8JLTMzsxwqDi2lef0ikc/n09ixY9WoUSNVqVJF559/vlatWlXkc8aOHXvC91CDBg3KqWKEmpdeeknNmzdXTEyMzjrrLC1ZsqTQj%2BV3kFm8eLEuv/xyNWrUSB6PR3PmzHG6JEeU9HVYuHBhgd8/P//8czlVHPoIgC5w6NAhdevWTU8%2B%2BWSJnhcXF6cdO3bkazExMUGqMnSV9vWLNE899ZSeffZZTZgwQcuWLVODBg100UUXnfQ87Hbt2uX7Hvrhhx/KqWKEkhkzZujuu%2B/WQw89pG%2B//VY9evTQJZdcos2bNxf6HH4H2e%2BfM844QxMmTHC6FEeV9nVYvXp1vu%2BfpKSkIFUYftgGxgXMZ4ivAAAgAElEQVSGDRsmSdq4cWOJnkdvjSnt6xdJfD6fnnvuOT300EMaOHCgJOmNN95Q/fr1NXXqVN12222FPrdixYqu/T5KTU1VamqqsrOznS7Fcc8%2B%2B6xuuukm3XzzzZKk5557TvPnz9fEiRM1bty4Ap/D7yDpkksu0SWXXOJ0GY4r7etQr1491ahRIwgVhT96AFGogwcPqmnTpmrcuLEuu%2Bwyffvtt06XBIds2LBBO3fuVJ8%2BfXLvi46OVs%2BePfXll18W%2Bdz09HQ1atRIzZs315AhQ7R%2B/fpglxsyRo4cqZ9%2B%2BqnUZ6lGiqNHj2r58uX5vn8kqU%2BfPkV%2B//A7CKeqY8eOatiwoS644AJ9/vnnTpcTUgiAKFDbtm01adIkzZ07V9OmTVNMTIy6deum9N8Ot4e77Ny5U5JUv379fPfXr18/97GCdO7cWZMnT9b8%2BfP16quvaufOnTr33HO1t7DDZBGRfvnlF2VnZ5fo%2B4ffQTgVDRs21CuvvKJZs2Zp9uzZatOmjS644AItXrzY6dJCBkPA5SAnx3biP3TIzvU8ciRwmZkZuMzKsh36MzPt8uhRO8LJ344fD7TsbGs5ObbTv38777Vr07VkyRe//cs%2B9et3iRISGioqSjpypKakp/TCCw3VuLGdB%2Bpv0dFSTIydBhATI1Wt2kXNmnVRdrYdB/Xcc920enUPvfDCBL344vNOvZRBN2XKlHzDmR999JF69OjhYEXO%2BP3rMG/ePEk2JJeXz%2Bc74b688g7ZdOjQQV27dlXLli31xhtvaPTo0WVcNUJdSb5/unTpoi5duuTe7tatmzp16qQXX3xRL7zwQlDrRPhr06aN2rRpk3u7a9eu2rJli55%2B%2Bmmdd955DlYWOgiA5eCJJ6SHHy6vfy3pt2beey/vY/GS7tPrr5fm80ZJ%2Bq9%2B/FGaNMmOi4qPt6OoatYMtNq1rdWpY61uXalePbusVOkUvqxy0r9/f3Xu3Dn3dkJCgoPVOOf3r0NWVpYk6wls2LBh7v27d%2B8%2BoVenKNWqVVOHDh3oxXGZOnXqqEKFCif09pXk%2BycqKkopKSl876DUunTporfeesvpMkIGAbAcVK0auB4dbberVAm0mJhA8/fGRUdbYKpc2S4rVgxcVqxo53dGRUkVKtilx2PNz98rmJNjLTtb2rs3Qy%2B//KqGDh2uGjXq6tixQE9jZmagHTlizd9jefCgdPCgTzk59g/YbWn79pK9DrVrSw0aWGvY0A6ZT0gItMREe6xChTJ40UspNjZWsbGxzhUQIn7/Ovh8PjVo0EALFixQx44dJdm8rkWLFmn8%2BPHF/rxZWVlKS0tzZa%2Bqm1WuXFlnnXWWFixYoAEDBuTev2DBAl1xxRXF%2Bhw%2Bn08rV65Uhw4dglUmIty3336b7w2s2xEAy8Edd0i33GLBz4lw8%2Buvv2rz5s3avn27Xn75PvXvn6g2bdqoQYMGuSvs/vCHP6hNm4Tc1XiPPPKIunTpoqSkJHm9Xj3//At688239cEHi9SqVSdlZEgZGdL%2B/dZ%2B/TXQ9u6VfvnF2p49dmkB1FpRW8dVrCg1biw1aSI1bSo1ayY1bx5ojRuX/2uY9/WTbFsBSflev0jn8Xh0991364knnlBSUpKSkpL0xBNPqGrVqho6dGjux11wwQUaMGCA/vjHP0qS7r33Xl1%2B%2BeVq0qSJdu/erb/97W/yer0aPny4U18KHDJ69GgNGzZMZ599trp27apXXnlFmzdv1u233y7JfgclJBT%2BO%2BiFF17QypUrlZqa6uSXUe4OHjyotWvX5t7esGGDVq5cqVq1aqlJkyYOVla%2BTvY6PPDAA9q2bZsmT54syVaZN2vWTO3atdPRo0f11ltvadasWZo1a5ZTX0LIIQCWgypVnP33586dqxtvvDH39pAhQyRJf/3rXzV27FhJ0ubNmxUVFVgTtH//ft16663auXOn4uPj1bFjRy1Z8om6du1U4n8/J8eC4c6d1nbssLZ9u7Rtm7WtW%2B328ePSxo3WClKpkoXCVq0CrXVra02bBiccFuf1c4M///nPOnLkiEaMGKF9%2B/apc%2BfO%2BuSTT/L1FK5bt06//PJL7u2tW7fq2muv1S%2B//KK6deuqS5cuWrp0qZo2berElxDRcnLszdauXXa5b5%2B9STt40Hrys7LsjZjPZ6MGlSrZSEP16jado3Ztm67RsKFdFjG1s1QGDx6svXv36tFHH9WOHTvUvn17ffjhh7nfC8X5HbR48WKdc845ZVtYiPvmm2/Uq1ev3Nv%2BubPDhw/XpEmTHKqq/J3sddixY0e%2BPSWPHj2qe%2B%2B9V9u2bVOVKlXUrl07zZs3T5deemm51x6qPD6ff/kA4Kzjxy0YbtkibdpkbcMGC4P%2By2PHCn9%2B5coWCNu0sXbaaVLbtnZZqlHdY8ek2bOlJUvsL%2BXAgVK3bqX86uBKPp/06afyzp6t%2BJdfVsa0aYq75hpLYCV0/Li0ebOUni6tXx/4mdiyxd5E7dhhH1MWoqPtjVbLlvbmKjlZOuMMqX37/FNaAIQvAiDCRna29RSuWyetXWstPd3a2rXWw1GYhAT7I9auXf7LQvcHTU%2BXLr7Y/tLmdeml0jvvON%2Bti9C3b590%2BeXSf/8rr2wJVoakuNNPlz76yCbBFvK0tDTp55%2BtpaVJa9bYt%2BLJAp7HI9WqZYuuata07%2B/q1S20xcRYD7nHY72Fx47ZnN%2BDB20ax9690u7d1gr7qxAVZT83nTtL554rde8uJSWVfW8hgOAjACIiZGdbT8jq1db8fzjT0mxIrDAJCdar0a6dXbZvLyW3zVG1lGT7RAW54w7ppZeC84Ugclx1lfUgS/kDoCR17y7vvCVatUr68UebF/vTT3Z9x47CP2V0tNSihfV0N29uvXRNmtjc2IQE27LpVFfbHztmP0sbNtgbq9Wrra6VK21O7%2B81bCj17i1dcIHUt2%2BhuRZAiCEAIuL5e1R%2B%2BsnaqlXWtm0r%2BOP7aZ4%2B0GWFf8IqVezJNWsGp2CEv40bbfw0J0dSAQFQ0tlapuU6u8CnN25s0xf8UxjatLGh2ISEUo0elwmfz8LpsmXSV19JX34p/e9/J/a8n3GGdXz27y%2BddZZz9QIoGgEQrpWRodwemLxtxJ6xGqtHinzuW7ctUXy/7mrf3haf8EcO2dk2TLtqlXR8xixdPf3q3McKCoB36CW91/CO3J7ndu0CUxPi4gr4B0JQZqaFwc8%2BkxYssHCY9y9KQoJNnR00yKbP8nMChA4CIPA7B/76tGIfva/IjzlT3%2Bo7nSnJ5lj5/3DnDiMn2x8/5kZFnpwcW6CUd%2Bh21SrrZT5yxD6mrz7WxwqcglJQADz40mRVv2NYOVcfXHv2SB9/LM2da5cHDwYeS0iQBg%2BWrr9eOvNMfjYApxEAgd/73fDd7%2B2t00Z3XpimH1d59PPPha9MjouzIJicbMN4/lXJzZo5u9k1iicz09YC/fyzzYP76ScLeatXB4Le71WpYv/PZ56WpRfmJKraIZs0d0IArFrVphEUugop/GVmWq/gO%2B/YiUQZGYHH2rWThg%2BXhg2zzd8BlD8CIFCQu%2B6SCjpvNCrKJvb/dnrBsWMWEvy9Qf6Wnm5DggWJjraVk/7tavz7GCYl2V5s9IyUn7xbq/jbmjUW8jZuLHw1bHS0/d/5h239rUWLPOH%2BX/%2ByHeBVQAB8/HHpwQeD/eWFjMxM6xGcOtV6B/3zBitUkPr1k26%2B2RbY88YIKD8EQKAgPp/09NPSc88Fzrzr1El67DH7S3USWVkWJvwLT/wrktesKXq7mho1rPOxVSu7bNHCWrNmtjAgHM5TDiU%2Bn21vsmlTYD/J9ettK6F16%2Bz%2BorZWiY%2B3oOdfjOHvzc0X9IoybZr02GPypqVZAGzWTHEPPCDdemsZfYXhZ/9%2BaeZMO1P8q68C9zdubC/LzTfbymIAwUUABIpy/LglhZgYW%2B1xirKzLXT4hxXXrAm0rVuLfm5UlM2jatrUWmKi/dH0bwHSqJFtA%2BKWXpScHAt3/hNl/Jdbt1qvnn9D8cOHi/480dEWtpOSrPl7ZNu0sdezLHpkvStXKr5jR2Xs26e4CB72Lam0NOsonTTJTguS7DjIq6%2BW7rxT6tqVHnEgWAiAQIg4fNh6p9auDfRQ%2BU982LSp6J5Dv6goO8arQQMLL/Xq2abAdetKderYEHPt2oFNgmvUkKpVc351ZnZ2YENif/OfHe0/W3rPnsBGxbt2WSvuyRcNGlho9veoNm8e6GFt3Dj4X7/X61V8fLwyMjIUFy5LfMtRZqY0a5Ztr/nll4H7zz5buuceW0VM7zdQtgiAQBjIybFzlP1H5Pl7uLZuDZynvHNnoetWiuTx2FF5sbG2otl/ckSVKtZiYqyXrHJl%2ByNcqZL1MkZF2XP94Sknx4Zcs7OtHTsmHT1qLSvL/sgfOWJB9/BhC3yHDkkHDuRfLVpSdeta72dCgrXGja13tEkTa4mJ9jU4iQBYfN9%2BK734os0X9L/padzYpuXeemv4bJEDhDoCIBAhsrOtd2zHjkAP2e7d1nO2Z4/1ou3da0Nt%2B/ZZK6uzY8tK5crWK1mzph1p5u%2Bx9Pdi1q1rvZr16wd6OcOhZ4gAWHJ79kj//Kc0YULgNJ/4eDuI5%2B677f8eQOkRAAGX8vmsR87rtebviTt0KNBLd%2BSI9cJkZVlP3rFj1vy9fD5fYKWsvzewQgVr/t7C6OhAq1LFeherVrWexmrVrOcxLs6a0z11wUIALL2sLOmtt6RnnrE5g5J9n9x8s3TffdbLC6DkCIAAEGQEwFOXkyO9/740bpz09dd2X8WK0o03Sg88YPM6ARQfB/MAAEJeVJRtv%2Bk/eq5XL5vC8Oqrtmr71lttfiyA4iEAAgDChscj9e4t/ec/0pIl0kUXBYJgUpI0cqTNgwVQNAIgAARJamqqkpOTlZKS4nQpEal7d%2BmTT6QvvrBQeOyYbSXTsqV0//2BvQUBnIg5gAAQZMwBLB%2Bffy795S%2BBvQRr1JDGjJFGjbIFSAAC6AEEAESEXr2sN/D996UOHWxD8TFjbI7g5Mml2ycTiFQEQABAxPB4pMsusw2l33jDNgLfulUaPlw66yzrJQRAAAQARKAKFaQ//MHO2X7ySdtncuVKmys4YIAduQi4GQEQABCxYmJsQci6dbZCuEIFac4cKTnZhodP5RhCIJwRAAEAEa9OHTtW7vvvpT59bMXw%2BPE2P3DKlMCJNoBbEAABAK6RnCx9/LE0d65tF7Njh3T99dL550s//uh0dUD5IQACAFzF45Euv9wC39/%2BZlvELF4snXmmnS/MsDDcgAAIAIU4duyY7r//fnXo0EHVqlVTo0aN9Ic//EHbt293ujSUgZgY6aGHpLQ06corpexs6emnrZdw7lynqwOCiwAIAIU4fPiwVqxYoYcfflgrVqzQ7NmztWbNGvXv39/p0lCGmjaV3n1X%2BuADqVkzacsWO3d44EBp2zanqwOCg5NAAKAEli1bpnPOOUebNm1SkyZNivUcTgIJH4cPS489Zj2Bx4/b9jHjx0u33ipF0WWCCMK3MwCUQEZGhjwej2rUqFHox2RlZcnr9eZrCA9Vq0rjxknLl0vnnCN5vdIdd9gpI%2BnpTlcHlB0CIAAUU2ZmpsaMGaOhQ4cW2ZM3btw4xcfH57bExMRyrBJl4fTT7Uzh556zULh4sd33zDM2VxAIdwwBA8BvpkyZottuuy339kcffaQePXpIsgUhgwYN0ubNm7Vw4cIiA2BWVpaysrJyb3u9XiUmJjIEHKY2bLAh4E8/tdtdu0qTJtkegkC4IgACwG8OHDigXbt25d5OSEhQlSpVdOzYMV1zzTVav369/vOf/6h27dol%2BrzMAQx/Pp/02mvS6NHSgQO2gnjcOGnUKOYGIjwRAAGgCP7wl56ers8//1x169Yt8ecgAEaOzZulm2%2BWFiyw2%2Befb72BTZs6WRVQcrxvAYBCHD9%2BXFdffbW%2B%2BeYbTZkyRdnZ2dq5c6d27typo0ePOl0eHNCkiTR/vjRxos0NXLhQ6tBBmjyZ4%2BQQXugBBIBCbNy4Uc2bNy/wsc8//1znn39%2BsT4PPYCRad06adgw6auv7PagQdLLL0u1ajlbF1AcBEAACDICYOQ6ftz2CRw71q4nJEhvvWVDw0AoYwgYAIBSqljRjpP76ispKclODund2%2B47dszp6oDCEQABADhFZ58tffutdNNNNhfwiSeknj2ljRudrgwoGAEQAIAyUK2a9K9/STNnSvHx1ivYsaM0e7bTlQEnIgACAFCGBg2SVq6UOneW9u%2BXrrrK9gvMszc44DgCIAAAZaxZM2nJEum%2B%2B%2Bz2iy9K3bszJIzQQQAEACAIKlWSnnpK%2BuAD2xrmm2%2BkTp3sNuA0AiAABElqaqqSk5OVkpLidClwUL9%2B0ooV0jnnSPv2SZdfLv3lL1J2ttOVwc3YBxAAgox9ACFJR49Kf/qTNGGC3b7oImnaNKmER0sDZYIeQAAAykHlyjYXcMoUO0ZuwQLprLNs%2BxigvBEAAQAoR0OHSkuXSi1bSps2SeeeK02d6nRVcBsCIAAA5axDB2nZMumSS6TMTOm666R772VeIMoPARAAAAfUrCm9/7704IN2%2B5lnbMHI/v3O1gV3IAACAOCQChWkxx%2B300OqVJHmz7cNpNescboyRDoCIAAADhs0SPrvf6XERAt/nTtLn36a5wOOHLE9ZNi4A2WEAAgAQAjo2NHmBXbtasPAF18szfzL99KAAVJsrO0m3bq17SNDEMQpYh9AAAgy9gFESWRmSrfcIq16a4UWqadidfDEDxo5MrChIFAKBEAACDICIErK55M2trpQzdd/VvgHrVolJSeXX1GIKAwBAwAQYjy7dqr5hv8U/UFTppRPMYhIBEAACBLOAkap7d9/8nl%2B%2B/aVTy2ISAwBA0CQMQSMEjtyRGrYUMrIKPxjJk6Ubr%2B9/GpCRKEHEACAUFOlinTTTYU%2B/Ktq6r3Y68uxIEQaAiAAAKHo8celPn1OuPtQxTgN0LsaMKy6Jk50oC5EBAIgAAChKCZG%2Bvhj6aOPpBtukK6%2BWho/XjFb16ntrT3l80kjRkh//SvbAqLkmAMIAEHGHECUNZ9PevRRaexYu33HHdKLL9rRckBx0AMIAECY8Xis5%2B%2Bll%2Bz6xInS0KHS0aNOV4ZwQQAEACBM3XGHNH26VKmSNHOmdMUV0uHDTleFcEAABAAgjF1zjfT%2B%2B1LVqjZlsG/fonePASQCIAAAYa9vX2nBAik%2BXvriC%2BmCC6RffnG6KoQyAiAAABHg3HOlhQulunWl5cul88%2BXduxwuiqEKgIgAAAR4swzpcWLpUaNpFWrpJ49pS1bnK4KoYgACABABGnbVlqyRGraVEpPl847T9q40emqEGoIgAAQJKmpqUpOTlZKSorTpcBlWrSwnsBWrSz89ewprVvndFUIJWwEDQBBxkbQcMr27VLv3tLq1VJCgs0RbNXK6aoQCugBBAAgQjVqZKHvtNOkbdtsYUh6utNVIRQQAAEAiGANGkiffy4lJ1sI7NVLWrvW6argNAIgAAARrn79E0MgcwLdjQAIAIAL1Ksn/ec/Nhy8davNDWR1sHsRAAEAcIn69S0Etmkjbd5sIZB9At2JAAgAgIs0aCB99pnUsqW0YYMdG8eJIe5DAASAYrrtttvk8Xj03HPPOV0KcEoSEqwn0L9Z9EUXcXaw2xAAAaAY5syZo6%2B//lqNGjVyuhSgTDRpYj2B/mPj%2BvaVMjKcrgrlhQAIACexbds2/fGPf9SUKVNUqVIlp8sBykzLlhYC69aVVqyQ%2BvWTDh1yuiqUBwIgABQhJydHw4YN03333ad27do5XQ5Q5tq2lRYskGrUkP77X2ngQCkry%2BmqEGwEQAAowvjx41WxYkWNGjWq2M/JysqS1%2BvN14BQdsYZ0ocfSlWrSp98Il1/vZSd7XRVCCYCIAD8ZsqUKapevXpuW7RokZ5//nlNmjRJHo%2Bn2J9n3Lhxio%2BPz22JiYlBrBooG127SnPmSJUrS%2B%2B8I91xh%2BTzOV0VgsXj8/HfCwCSdODAAe3atSv39ttvv62HHnpIUVGB98rZ2dmKiopSYmKiNhayi25WVpay8oyheb1eJSYmKiMjQ3FxcUGrHygLs2ZJ11wj5eRIDzwgPfGE0xUhGAiAAFCIvXv3asfvNkjr27evhg0bphtvvFFt2rQp1ufxer2Kj48nACJsvPqqdOutdv3ZZ6V77nG2HpS9ik4XAAChqnbt2qpdu3a%2B%2BypVqqQGDRoUO/wB4eiWW2xfwAcflEaPthNEhg51uiqUJeYAAgCAE4wZI911l12/4QZbKYzIwRAwAAQZQ8AIVzk50nXXSdOnS9WrS4sWSZ06OV0VygI9gAAAoEBRUdKkSVLv3tLBg9Kll9r5wQh/BEAAAFCo6Ghp9mzp9NOlXbukSy6Rfv3V6apwqgiAAACgSPHxtlF0YqK0erV05ZVSZqbTVeFUEAABAMBJJSRYCIyLk5YssYUhOTlOV4XSIgACAIBiad9eevddqWJFacYM6aGHnK4IpUUABAAAxda7t/Svf9n1J5%2BUXnvN2XpQOgRAAAiS1NRUJScnKyUlxelSgDI1fLj0f/9n12%2B/XfrsM2frQcmxDyAABBn7ACIS%2BXzS9ddLU6faIpGlS6W2bZ2uCsVFDyAAACgxj8eGf7t1kzIypMsuk/budboqFBcBEAAAlEpMjO0R2KyZtG6ddNVV0tGjTleF4iAAAgCAUqtXT/rgAyk21o6KGznShocR2giAAADglLRrZ%2BcFR0XZCuEXXnC6IpwMARAAAJyySy%2BV/v53uz56tLRggbP1oGgEQAAAUCbuuSdwQsg110jp6U5XhMIQAAEAQJnweKSXX5a6dJH275euuELyep2uCgUhAAIAgDITHW0rgxMSpLQ0adgwzgwORQRAAABQpho2tBAYHS3NnSs98ojTFeH3CIAAAKDMnXOO9M9/2vVHH5Xee8/ZepAfARAAAATF8OHSnXfa9WHDpJ9/drYeBBAAASBIUlNTlZycrJSUFKdLARzzzDPSeedJBw5IAwfaJZzn8fnYrxsAgsnr9So%2BPl4ZGRmKi4tzuhyg3O3aJXXqJG3fbsfFvf22rRiGc%2BgBBAAAQVW/vvTOO1KlStKsWdYrCGcRAAEAQNB17So9/7xdHzPGzg2GcwiAAACgXNx%2Buy0Gyc6WBg%2BWduxwuiL3IgACAIBy4T8ppH17mxc4eLB0/LjTVbkTARAAAJSbqlVtHmBsrLRkifSXvzhdkTsRAAEAQLlq3Vr697/t%2Bvjx0vvvO1uPGxEAAQBAubv6amnUKLs%2BfLi0aZOz9bgNARAAADji73%2B3I%2BP27bP5gEePOl2RexAAAQCAIypXlmbMkGrUkL7%2BWnrgAacrcg8CIAAAcEyzZtLrr9v1Z5%2BVPvjA0XJcgwAIAEHCWcBA8Vx5pXTXXXZ9%2BHBp61Zn63EDzgIGgCDjLGDg5LKypG7dpOXLpfPOkz77TKpY0emqIhc9gAAAwHHR0dL06bY/4OLF0mOPOV1RZCMAAgCAkNCqlZ0UIkl/%2B5sFQQQHARAAAISMoUNtHmBOjnTdddKvvzpdUWQiAAIAgJAyYYKUlGSLQW69VWK1QtkjAAIAgJBSvbo0bZpUqZKdG/zaa05XFHkIgAAAIOScdZb0%2BON2/a67pDVrnK0n0hAAAQBASPrTn6TevaXDh21uIEfFlR0CIACcRFpamvr376/4%2BHjFxsaqS5cu2rx5s9NlAREvKkp64w2pZk3bH3DsWKcrihwEQAAowrp169S9e3e1bdtWCxcu1HfffaeHH35YMTExTpcGuELjxtIrr9j1J5%2BUlixxtp5IwUkgAFCEIUOGqFKlSnrzzTdL/Tk4CQQ4dTfeKE2aZGcHf/edxI/SqaEHEAAKkZOTo3nz5ql169bq27ev6tWrp86dO2vOnDlFPi8rK0terzdfA3Bqnn/ewt/GjYFzg1F6BEAAKMTu3bt18OBBPfnkk7r44ov1ySefaMCAARo4cKAWLVpU6PPGjRun%2BPj43JaYmFiOVQORKS5OmjxZ8nisJ/Ak78NwEgwBA8BvpkyZottuuy339rx583T%2B%2Befr2muv1dSpU3Pv79%2B/v6pVq6Zp06YV%2BHmysrKUlZWVe9vr9SoxMZEhYKAMjBkjjR8v1akj/fijVL%2B%2B0xWFp4pOFwAAoaJ///7q3Llz7u26deuqYsWKSk5Ozvdxp512mr744otCP090dLSio6ODVifgZo88In30kfT999Jtt0nvvmu9gigZAiAA/CY2NlaxsbH57ktJSdHq1avz3bdmzRo1bdq0PEsD8JvoaOnNN6Wzz5bee8%2BGhYcPd7qq8MMcQAAown333acZM2bo1Vdf1dq1azVhwgS9//77GjFihNOlAa51%2BunSo4/a9VGjpC1bnK0nHDEHEABO4t///rfGjRunrVu3qk2bNnrkkUd0xRVXFPv5bAMDlL3jx6UePaSlS6WLLpLmz2couCQIgAAQZARAIDjWrJHOOEPKzJReftnmBKJ4GAIGAABhqXVr6Ykn7Pq999oegSgeAiAAAAhbd90lde8uHTwo3XyzxLhm8RAAAQBA2IqKkl5/XapSRfrsM%2Bmf/3S6ovBAAAQAAGGtVavAUPB990lbtzpbTzhgH0AAABD27rxT%2BvBDqW9fqWFDp6sJfQRAAAAQ9ipUYCuYkmAIGACCJDU1VcnJyUpJSXG6FMAVCH/Fxz6AABBk7AMIINTQAwgAAOAyBEAAAACXIQACAAC4DAEQAADAZQiAAAAALkMABAAAcBkCIAAAgMsQAAEAAFyGAAgAAOAyBEAAAACXIQACQJBwFjCAUMVZwAAQZJwFDCDU0AMIAADgMgRAAAAAlyEAAgAAuAwBEAAAwGUIgAAAAC5DAAQAAHAZAiAAAIDLEAABAABchgAIAADgMgRAAAAAlyEAAgAAuAwBEACCJDU1VcnJyUpJSXG6FADIx%2BPz%2BXxOFwEAkczr9SOkcBIAAAGqSURBVCo%2BPl4ZGRmKi4tzuhwAoAcQAADAbQiAAAAALkMABAAAcBkCIAAAgMsQAAEAAFyGAAgAAOAyBEAAAACXIQACAAC4DAEQAADAZTgJBACCzOfz6cCBA4qNjZXH43G6HAAgAAIAALgNQ8AAAAAuQwAEAABwGQIgAACAyxAAAQAAXIYACAAA4DIEQAAAAJchAAIAALgMARAAAMBlCIAAAAAuQwAEAABwGQIgAACAyxAAAQAAXIYACAAA4DIEQAAAAJchAAIAALgMARAAAMBlCIAAAAAuQwAEAABwGQIgAACAyxAAAQAAXIYACAAA4DIEQAAAAJchAAIAALgMARAAAMBlCIAAAAAuQwAEAABwGQIgAACAyxAAAQAAXIYACAAA4DIEQAAAAJchAAIAALgMARAAAMBlCIAAAAAuQwAEAABwGQIgAACAyxAAAQAAXIYACAAA4DIEQAAAAJchAAIAALgMARAAAMBlCIAAAAAuQwAEAABwGQIgAACAyxAAAQAAXIYACAAA4DIEQAAAAJchAAIAALgMARAAAMBlCIAAAAAuQwAEAABwmf8PvpUX54kSuRoAAAAASUVORK5CYII%3D'}