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g2c_curves • Show schema
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{'Lhash': '2172656349009168506', 'abs_disc': 389, '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': '[[389,[1,11,399,389]]]', 'bad_primes': [389], 'class': '389.a', 'cond': 389, 'disc_sign': 1, 'end_alg': 'Q', 'eqn': '[[0,0,1,2,2,1],[1,1]]', 'g2_inv': "['32768/389','-7168/389','-10176/389']", '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': "['16','100','1775','1556']", 'igusa_inv': "['8','-14','-159','-367','389']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': True, 'label': '389.a.389.2', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1979862013008733330350209978381275022945283583377101838', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.30.3'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_maximal_primes': [2, 5], 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 2, 'real_geom_end_alg': 'R', 'real_period': {'__RealLiteral__': 0, 'data': '19.798620130087333303502099784', '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': 1, 'torsion_order': 10, 'torsion_subgroup': '[10]', 'two_selmer_rank': 1, 'two_torsion_field': ['4.0.1556.1', [2, 1, -1, -1, 1], [4, 5], 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': '389.a.389.2', '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': '389.a.389.2', 'mw_gens': [[[[1, 1], [1, 1], [1, 1]], [[-1, 1], [-1, 1], [0, 1], [0, 1]]]], 'mw_gens_v': True, 'mw_heights': [], 'mw_invs': [10], 'num_rat_pts': 4, 'rat_pts': [[-1, 0, 1], [0, -1, 1], [0, 0, 1], [1, 0, 0]], 'rat_pts_v': True}
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g2c_galrep • Show schema
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{'conductor': 389, 'lmfdb_label': '389.a.389.2', 'modell_image': '2.30.3', 'prime': 2}
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g2c_tamagawa • Show schema
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{'cluster_label': 'c3c2_1~2_0', 'label': '389.a.389.2', 'p': 389, 'tamagawa_number': 1}
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g2c_plots • Show schema
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{'label': '389.a.389.2', 'plot': 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559svMUlJ7tQKdxEAI9RPP9nmz7GxNnG3fHm3KwJwIrZvt3OPC9uyZdYCBcNTTpHOOMPC4BlnWG/N6afbgpS4uNKrPRJ4JQBu3y7NmSN995307be2IfO%2BfcVfU6WKTRXq2dNakyYsVgJDwBFr8WL72KIF4Q%2BIRDVqWDvnnOLXf/3VguDy5dKKFfZx%2BXIbSt650/6h/%2B674u/x%2BaT69S0MNmlix%2BE1bmzBsGFD28oGka/wSMQFC%2ByM7HnzjrzRedWqNqzbvbsFvzPPZC4fDkcAjFAZGfaxaVN36wAQXNWqSWedZe1ge/bYn/uVK4u3VatsFGD9emuFc4MPVqeOhcHTTrPWsKG/JScTDsJNQYEda1g4l/SHH2zB0erVR359s2bSH/5g27N06WK9w/Tw4VgIgJFo8WK1em%2BcntNu1cnpIOVeamPBAKJWhQr%2BjagP5jg2DLhqlb/99JO/ZWdLmzdbmz378K9bvrz1Hp56qs0Nq1/fWr161urWjbDVygUF0kcfWZNs1UOYrpTbt89CXWGYL%2BztXb7cVuseSf36tv9r%2B/ZSaqp9ZJshlARzACNJfr50/fXSm28Wv16njm3i1KqVO3UBCEuOY0PKa9ZY0FizxtratdY2brS8dCynnGJBsE4da7VrW6tVy1pysm0U7Pp0lM2bLewtWaIsSUmSMiUlnnuu7W6ckFCq5eTn2x6tGzZYj966df7/B6tX2/0/2r/AsbE2wnPwZuNt2tjwLhAMBMBI8thj0rBhR36udm37G4WZ4ACOU16eZab16y2crF9vYWXDBgsnGzcevSfqSKpUsSBYOL%2BxenVrVav62ymnWKtSxXqugrq58B/%2BYCsipOIBULJzy95%2B%2B6T/E45jc/F27LD9IH/5Rdq2zdqWLdYKe1y3bDny8YIHS0y0uZtnnOFf8d28uQ3ZxzBGhxAiAEaK/fttPGb79qO/ZvRoO5UbAIKgMOxs3GiBZtMmf7D5%2BWd/4Nm2zfabK4mEBNuGJCnJPi9slSrZfoiFLT7efr%2BNj7fesfLlrZUrZ%2B2UjDnqOPQPRV/30ABYUDZGX721XjlJtZWXZ3%2Bl7t9vZ97u3etvOTm2bUpOjs2tzMz0t127rB0r1B0sJsZ6Txs0sFY4D7NRI1uoU7068/XgDn6/OAmO4yj74MMSQ2nVqsDhT7INnwYOLJ16AHhCmTL%2B8HI0BQXSb7/ZX1GFbccOa7/%2Bah937rS2a5e9trBnMTvb2qZNJ1fnLZqpZgc9zjrko/IP6PErv9anOv/k/kO/i4%2B3BTvVqlmIq1HDhsJr1LBh8cJh8po1A/dyltY/ITiyhIQE%2BTyawOkBPAmF%2B0wBAIDIE%2B37RAZCADwJJ9sDmJqaqnnz5h3/G3r2tI2fjmbmTJslHMoagvz%2Bk/0aWVlZqlevnjZu3FjiP8Rufw/BeD/3ITj34GRrCMb7T/ZrRMt9ONH3527erPKtWsmXlyfJev7qSdqo3%2BcA1qxpGyyewMQ6t/9fBuP9/N0Q%2BB54uQeQIeCT4PP5Tuov2LJly57Y%2B596ys7v%2Bf0vuGIuv9x2/Qx1DUF%2Bf7C%2BRmJiYom/Rjh8D8GoQeI%2BSCd3D4JRQzjcRyny78MJvz8xUXrwQemf/yx%2B%2BfemESNs9UkoawjB1%2BDvhuDVcLJ/JqIN23%2B66Pbbbz%2BxN5x9tvTJJ1LHjkWX9lY4RXr44RKvbjvhGoL8/mB9Dbf/%2B%2BFwH08W9yE4NYTDfQwGt%2B9Did7/j39Izz1nqy5%2Bl9%2BokfTuu9J115VODUH%2BGtHwsxCMrxEO9yHaMAQcoR4dvFIfjMnTebfV0zNp3p2H6JXzPo%2BF%2B8A9KMR9kJSfr59nzVKdHj20ceNG1T0oEHoNPw/cg6OhBzBCJbVqpKVqofXbKrldiqtiY2M1bNgwxXr8JBTuA/egEPdBUtmyKteypSR5%2Bz6InweJe3A09ABGqKlTpf79pZYt7bxIAIAfvT5AYPQARqjmze3jypVHXhMCAABwNATACHXqqbZz/v790o8/ul0NAACIJATACOXzSR062Oe/H30JAABwXAiAEaxLF/s4a5a7dQAAgMhCAIxQEydO1NSp90qSxo3broUL012uKHQcx9Hw4cNVu3ZtxcfH6%2Byzz9bSpUsDvufAgQN69NFH1bBhQ8XHx%2Bu0007TY489poKCglKqOvhKch8kafPmzRo8eLCqVq2qChUqqHXr1lqwYEEpVBwaJb0PhUaMGCGfz6ehQ4eGsMrQKsk9GDFihFJTU5WQkKAaNWpo4MCBWrlyZSlVjFB68cUX1bBhQ8XFxaldu3b66quvjvraUaNGqVu3bqpSpYqqVKminj17au7cuaVYbWicyD042NixY%2BXz%2BTRw4MAQVxh%2BCIARKicnR337VlFc3H5JNbR8ebzbJYXMU089pWeffVYjR47UvHnzlJycrF69egU8hu/JJ5/Uyy%2B/rJEjR2r58uV66qmn9O9//1svvPBCKVYeXCW5D7t27VKXLl1Urlw5TZ8%2BXcuWLdMzzzyjypUrl2LlwVWS%2B1Bo3rx5euWVV3TmmWeWQqWhU5J7MGvWLN1%2B%2B%2B2aM2eOZsyYoQMHDqh3797KyckpxcoRbOPGjdPQoUP1yCOPaNGiRerWrZv69OmjDRs2HPH1M2fO1KBBg/Tll1/qu%2B%2B%2BU/369dW7d29t3ry5lCsPnhO9B4XWr1%2Bv%2B%2B67T926dSulSsOMg4jWp89uR3KcP/1pi9ulhERBQYGTnJzsPPHEE0XX9u3b5yQlJTkvv/zyUd/Xr18/5/rrry927eKLL3YGDx4cslpDqaT34cEHH3S6du1aGiWWipLeB8dxnOzsbKdJkybOjBkznO7duzt33313qMsNiZO5Bwfbvn27I8mZNWtWKMp0XWZmpiPJyczMdLuUkOrQoYNzyy23FLvWtGlT56GHHjqu9x84cMBJSEhwRo8eHYrySkVJ7sGBAwecLl26OK%2B%2B%2BqozZMgQZ8CAAaEuM%2BzQAxjhzjtvjyRpxozKisYdHdeuXautW7eqd%2B/eRddiY2PVvXt3ffvtt0d9X9euXfX5558rIyNDkvTDDz/o66%2B/Vt%2B%2BfUNecyiU9D5MnjxZ7du312WXXaYaNWqoTZs2GjVqVGmUHBIlvQ%2BSHSXVr18/9ezZM9RlhtTJ3IODZWZmSpJOOcHzcRE%2B9u/frwULFhT7WZCk3r17H/fPwp49e5SXlxexPwclvQePPfaYqlevrj/96U%2BhLjFsxbhdAE5Ojx57JO3Rhg0VNH%2B%2BlJrqdkXBtXXrVklSzZo1i12vWbOm1q9ff9T3Pfjgg8rMzFTTpk1VtmxZ5efn61//%2BpcGDRoU0npDpaT3Yc2aNXrppZd0zz336OGHH9bcuXN11113KTY2Vtdcc01Iaw6Fkt6HsWPHauHChZo3b15I6ysNJb0HB3McR/fcc4%2B6du2qFi1aBL1GlI5ff/1V%2Bfn5R/xZKPw5OZaHHnpIderUidhfjEpyD7755hu99tprSk%2BP3rnzx4MewAgwZswYVapUqagdPLm1UiVH0geSpNdfd6nAIDr0e837fZdrn89X7HWO4xx27WDjxo3T22%2B/rXfeeUcLFy7U6NGj9fTTT2v06NEhrT9YgnUfCgoK1LZtWz3%2B%2BONq06aNbr75Zt1444166aWXQlp/sATjPmzcuFF333233n77bcXFxYW85mAL1s/Cwe644w4tXrxY7777btDrdVtaWppSUlKUGm2/DQdQ0p%2BFp556Su%2B%2B%2B64mTpwYkX82Dna89yA7O1uDBw/WqFGjVK1atdIqLyzRAxgBLrzwQnXs2LHocZ06dQ55xWuSrtSYMdJTT0mVIvh44EO/19zcXEnW61GrVq2i69u3bz/sN76D3X///XrooYd0xRVXSJJatmyp9evXa8SIERoyZEiIqg%2BeYN2HWrVqKSUlpdi1Zs2aacKECUGuODSCcR8WLFig7du3q127dkXX8vPzNXv2bI0cOVK5ubkqW7ZsiL6Dkxesn4VCd955pyZPnqzZs2erbt26wS/YZbfffrtuv/32oqPgolm1atVUtmzZw3q6judn4emnn9bjjz%2Buzz77LKIXRZ3oPVi9erXWrVun/v37F10r3B0iJiZGK1euVKNGjUJbdJggAEaAhIQEJSQkBHjFl6pff582bIjTW29Jt95aaqUF3aHfq%2BM4Sk5O1owZM9SmTRtJNudj1qxZevLJJ4/6dfbs2aMyZYp3cJctWzZitoEJ1n3o0qXLYVt9ZGRkqEGDBqEpPMiCcR969OihJUuWFLt23XXXqWnTpnrwwQfDOvxJwftZcBxHd955pyZNmqSZM2eqYcOGIa8doVW%2BfHm1a9dOM2bM0EUXXVR0fcaMGRowYMBR3/fvf/9b//znP/XJJ5%2Boffv2pVFqyJzoPWjatOlhfx88%2Buijys7O1vPPP6969eqFvOaw4c7aE5ysHTt2OIsWLXKmTZvmSHKGDFngSI7TqFGek5/vdnXB9cQTTzhJSUnOxIkTnSVLljiDBg1yatWq5WRlZRW95txzz3VeeOGFosdDhgxx6tSp40ydOtVZu3atM3HiRKdatWrOAw884Ma3EBQluQ9z5851YmJinH/961/OqlWrnDFjxjgVKlRw3n77bTe%2BhaAoyX04VCSvAnackt2DW2%2B91UlKSnJmzpzpbNmypajt2bPHjW8h5LyyCnjs2LFOuXLlnNdee81ZtmyZM3ToUKdixYrOunXrHMdxnKuvvrrYatgnn3zSKV%2B%2BvDN%2B/PhiPwfZ2dlufQsn7UTvwaG8ugqYABihXn/9dUfSQa2SI%2B10JMeZMMHt6oKroKDAGTZsmJOcnOzExsY6Z511lrNkyZJir2nQoIEzbNiwosdZWVnO3Xff7dSvX9%2BJi4tzTjvtNOeRRx5xcnNzS7n64CnJfXAcx5kyZYrTokULJzY21mnatKnzyiuvlGLVwVfS%2B3CwSA%2BAJbkHxf%2B%2B8LfXX3%2B9dIsvJV4JgI7jOGlpaU6DBg2c8uXLO23bti22tU/37t2dIUOGFD1u0KDBEX8OAv15iQQncg8O5dUA6HOcaNw8xJv%2B%2Blfpn/%2BUWreWFi6084IBwIsK5wBmZmYqMTHR7XKAsMMq4CgydKgtAElPlyZOdLsaAAAQrgiAUaRqVenPf7bPH3lE%2Bn23CAAAgGIIgFHmvvukatWklSulV15xuxoAABCOCIBRJjFR%2Bvvf7fO//U3ascPdegAAQPghAEahm26SWraUdu6UHnrI7WoAAEC4IQBGoZgY6cUX7fNXX5UOOjkOAACAABitunaVbrjBPr/hBmnvXnfrAQAA4YMAGMX%2B/W%2Bpdm0pI0P6y1/crgYAAIQLAmAUq1zZhoAl6fnnpc8%2Bc7ceAAAQHgiAUa5PH%2BnWW%2B3zq6%2BWtm93tx4AAOA%2BAqAHPP20lJIibd0qDR4s5ee7XREAhEZaWppSUlKUmprqdilAWOMsYI9YulTq0EHas0d69FHpH/9wuyIACB3OAgYCowfQI5o3958M8s9/SpMmuVsPAABwDwHQQ666Srr7bvv86qulH35wtx4AAOAOAqDHPP201LOnlJMjXXCBtHmz2xUBAIDSRgD0mJgY6f33paZNpU2bpL59pcxMt6sCAACliQDoQZUrSx99JNWsKS1eLA0cKO3b53ZVAACgtBAAPaphQ2n6dCkhQZo5U7r8cikvz%2B2qAABAaSAAelibNtKUKVJcnH0cPFg6cMDtqgAAQKgRAD2ue3dpwgSpXDnpvfdsdTAhEACA6EYAhPr2tYUh5cpJY8dKgwZJ%2B/e7XRUAAAgVAiAkSQMGWE9g%2BfLS%2BPHSRRdJe/e6XRUAAAgFAiCK9O8vTZ4sxcfbKuHzzpN%2B%2B83tqgAAQLARAFHMeedJn3wiJSZKX30ldetm%2BwUCAIDoQQDEYbp1k2bPlmrVkn78UerUSUpPd7sqAAAQLARAHFGrVtJ330kpKXZcXNeutlUMAACIfARAHFWDBtI330g9etjZwQMGSE88ITmO25UBwJGlpaUpJSVFqampbpcChDWf4/DPOQLLy5Puukt6%2BWV7/Mc/Sq%2B%2BKlWq5G5dAHA0WVlZSkpKUmZmphITE90uBwg79ADimMqVk156SXrxRSkmRho3zuYFrlzpdmUAAKAkCIA4brfeaucG16olLV0qtW9vG0cDAIDIQgDECenSRVq40I6Q273bTg256SZpzx63KwMAAMeLAIgTlpwsffaZ9Oijks8njRplvYFsFQMAQGQgAKJEYmKkf/zDgmCtWtLy5VKHDtKTT0r5%2BW5XBwAAAiEA4qSce660eLE0cKCtFn7oIemss6RVq9yuDAB8EX3mAAAgAElEQVQAHA0BECetWjVp4kTpf/%2BTEhKkb7%2B1jaT/7//oDQQAIBwRABEUPp903XXSkiW2cfTevdI990idO9s1AAAQPgiACKoGDaQZM6T//ldKTJTmzpXatpUefpiVwgAAhAsCIILO57OtYZYts7mBBw5II0ZIzZtL06a5XR0AACAAImTq1JEmTbJWt660bp10wQXShRdKq1e7XR0AAN5FAETIDRxo28Tcf79tHzNlipSSYsPC2dluVwcAgPcQAFEqKlWSnnrKtozp1Uvav9%2BGhU8/XXrtNVYLAwBQmgiAKFXNmkmffCJ9%2BKHUuLG0dat0ww1S69bS9OmS47hdIQAA0Y8AiFLn89k8wKVLpWeflSpXln78Uerb1zaW/v57tysEACC6EQDhmvLlpT//2RaE3HuvPZ45U%2BrUyeYNsn8ggBOVlpamlJQUpaamul0KENZ8jsOgG8LDhg3SsGHSm29KBQXWU3j55XatWTO3qwMQSbKyspSUlKTMzEwlJia6XQ4QdugBRNioX196/XUbDr7sMpsPOG6c7R84aJANGQMAgJNHAETYadZMeu89KT1duugiC4Jjx0otW0qXXiotXOh2hQAARDYCIMJWq1bSxIkWBC%2B5xILghAlSu3bS%2BefbfEEmMAAAcOIIgAh7rVpJ48fb0PBVV0lly9pWMuecYwtGxo9nH0EAAE4EARARo3lz6e23pYwM6dZbpdhYae5cmy94xhnSCy9Iu3e7XSUAAOGPVcCIWNu3W%2Bh78UVp5067VrmybSx9xx1Sgwbu1gfAPawCBgIjACLi5eRIo0dLzz0nrVpl18qUkQYMkO66S%2Bre3baUAeAdBEAgMAIgokZBgTRtmvT889Lnn/uvN28u3XabNHiwxL8DgDcQAIHACICISkuXSiNHSm%2B9ZT2EklSpki0iueUWO3sYQPQiAAKBsQgEUal5c%2Bmll6TNm61HsGlTWyDy3/9KbdpIHTtKr77KohEg1BzH0fDhw1W7dm3Fx8fr7LPP1tJj7Oo%2BfPhw%2BXy%2BYi05ObmUKga8gQCIqJaUZPMAly2TvvjCjpYrV85WD994o1Srln38/nv2FARC4amnntKzzz6rkSNHat68eUpOTlavXr2UnZ0d8H3NmzfXli1bitoSDgcHgooACE/w%2BWzfwHHjpE2bpCeflJo0sR7AV1%2B1/QRbtpSeeUbautXtaoHo4DiOnnvuOT3yyCO6%2BOKL1aJFC40ePVp79uzRO%2B%2B8E/C9MTExSk5OLmrVq1cvpaoBbyAAwnNq1JAeeEBaudJOExk8WIqPt3mD990n1a0r9e9vG0zn5rpdLRC51q5dq61bt6p3795F12JjY9W9e3d9%2B%2B23Ad%2B7atUq1a5dWw0bNtQVV1yhNWvWhLpcwFMIgPAsn8%2B2iHnrLWnLFunll21uYH6%2BNHWqbTBdq5ZtOv3ttwwRAydq6%2B/d6TVr1ix2vWbNmkXPHUnHjh315ptv6pNPPtGoUaO0detWde7cWTt27Djqe3Jzc5WVlVWsATg6AiAgmyt4883SnDk2X/Chh6Q6daRduywYdukiNW4s/e1v0ooVblcLhKcxY8aoUqVKRS0vL0%2BS5DtkI07HcQ67drA%2BffrokksuUcuWLdWzZ09NmzZNkjR69OijvmfEiBFKSkoqavXq1QvCdwREL7aBAY4iP1/68kvpzTeliRP928lIUrt20hVXWKtb170agXCSnZ2tbdu2FT3Ozc1VixYttHDhQrVp06bo%2BoABA1S5cuWAge5QvXr1UuPGjfXSSy8d8fnc3FzlHjRnIysrS/Xq1WMbGOAo6AEEjqJsWalnTwuA27ZJY8ZIfftKMTHSggXS/fdL9evbMPJLL0m//OJ2xYC7EhIS1Lhx46KWkpKi5ORkzZgxo%2Bg1%2B/fv16xZs9S5c%2Bfj/rq5ublavny5atWqddTXxMbGKjExsVgDcHQEQOA4VKwoXXmlnTTy8892/nDXrjYvcPZsO2mkVi2pVy9p1CgpwFQlwDN8Pp%2BGDh2qxx9/XJMmTdKPP/6oa6%2B9VhUqVNCVV15Z9LoePXpo5MiRRY/vu%2B8%2BzZo1S2vXrtX333%2BvSy%2B9VFlZWRoyZIgb3wYQlWLcLgCINNWr28KQW2%2BVNm60rWXGjZPmz5c%2B%2B8zarbdKPXrYQpKBA6Vq1dyuGnDHAw88oL179%2Bq2227Trl271LFjR3366adKSEgoes3q1av166%2B/Fj3etGmTBg0apF9//VXVq1dXp06dNGfOHDVo0MCNbwGISswBBILkp5%2Bk99%2B3MPjDD/7rZcvaHoSXXCJddJF0yIJIACHAUXBAYARAIARWrbIw%2BP77Unq6/7rPZ0PHF19srX5992oEohkBEAiMAAiE2OrVtqn0hAnSvHnFn2vXznoFBw6UUlIsIAI4eQRAIDACIFCKNmyQJk2yMPjNN1JBgf%2B5Jk0sCA4caEfTlWGJFlBiBEAgMAIg4JLt26XJky0QfvaZtH%2B//7maNe04ugEDbDFJfLx7dQKRiAAIBEYABMJAdrY0fbr0wQfSRx9JmZn%2B5ypUkHr3li68UOrXz84yBhAYARAIjAAIhJn9%2B6VZs6QPP7Qewo0b/c/5fDY83L%2B/tebNmTcIHAkBEAiMAAiEMcexVcSTJ1tbuLD486eeakHwggvsRJLYWFfKBMIOARAIjAAIRJBNm6SpU6UpU6TPP5cOOvpUlSrZUHG/fnZkXXKye3UCbiMAAoERAIEIlZNji0emTrUj6rZsKf58%2B/YWBvv1s%2B1mWFUMLyEAAoERAIEoUFBgw8PTplkgnD%2B/%2BPM1a0p9%2BlgY7NVLSkpyp06gtBAAgcAIgEAU2rLFVhVPmybNmGGrjAvFxNhpJH37WmMDakSTtLQ0paWlKT8/XxkZGQRA4CgIgECU279f%2Buor215m6lQpI6P48/XrW89gnz7SuedKFSu6UycQTPQAAoERAAGPWb3awuC0adLMmcUXksTG2mrivn0tEDZpQu8gIhMBEAiMAAh42J490hdfWCD86CNp/frizzdqZEGwTx/p7LNtU2ogEhAAgcAIgAAk2Z6DK1ZYEJw%2BXZo9W8rL8z8fGyudc44/EDZp4l6twLEQAIHACIAAjig72987OH168RNJJKlxY%2Bn88224%2BOyzOa8Y4YUACARGAARwTI4jLVvmD4Nff128dzAuzkJgnz4WCBs3dq1UQBIBEDgWAiCAE5adbSeRTJ9uoXDTpuLP0zsItxEAgcAIgABOiuNIS5daGDxW7yBzB1FaCIBAYARAAEF1cO/gkeYONmrk32aG3kGECgEQCIwACCBkjrd3sPBUkkaNXCsVUYYACARGAARQagp7BwsXkxw6d7BJE3/vYPfuFhCBkiAAAoERAAG4orB38OCVxQcO%2BJ%2BvUMGOpivsHWzQwL1aEXkIgEBgBEAAYSErS/rsM38g/Pnn4s%2BnpPjPLO7SRSpf3p06ERkIgEBgBEAAYcdxpMWL/UfUffutVFDgfz4xUerVyx8Ik5PdqxXhiQAIBEYABBD2du2SPv3U3zv4yy/Fn2/XzoaJ%2B/WTUlOlMmXcqRPhgwAIBEYABBBRCgqk%2BfMtDE6bZp8frHp16xXs10867zwpKcmdOuGOtLQ0paWlKT8/XxkZGQRA4CgIgAAi2rZt1is4bZr1EmZl%2BZ%2BLiZG6dbMweMEF0hlnuFcnShc9gEBgBEAAUSMvz1YTT5smTZ0qrVxZ/PnGjS0I9u8vde3KQpJoRgAEAiMAAohaq1dbEJw2TZo5s/gm1ImJNkTcv7/NH6xa1bUyEQIEQCAwAiAAT8jOlmbMkKZMsfmD27f7nytTRurc2cJg//5S06aSz%2BderTh5BEAgMAIgAM8pKJDmzbMwOHWq9MMPxZ9v3NiC4IUX2lBxTIw7daLkCIBAYARAAJ63YYMFwcmTpS%2B/lPbv9z9XpYoNEV94oXT%2B%2BTZ0jPBHAAQCIwACwEGys201cWHv4I4d/ufKlZPOOUcaONB6COvWda9OBEYABAIjAALAUeTn2ykkkydLH34orVpV/Pn27S0MDhggNW/OvMFwQgAEAiMAAsBxWrHCwuAHH0hz5tiRdYUaNZIuusgC4R/%2BwGkkbiMAAoERAAGgBLZutWHiDz%2BUPvtMys31P1ezps0ZvOgi6dxzpdhY9%2Br0KgIgEBgBEABO0u7d0scfW8/g1KlSZqb/ucREO4nk4ottEUmlSu7V6SUEQCAwAiAABFFenq0knjTJege3bPE/Fxdnm09fcoktIqlc2b06ox0BEAiMAAgAIVJQIH3/vTRxorU1a/zPxcRIPXpIl15qi0iqV3evzmhEAAQCIwACQClwHGnxYguCEyZIS5f6nytbVureXbrsMps3WLOme3VGCwIgEBgBEABcsGKFhcHx46VFi/zXfT7prLOkyy%2B3eYPJye7VGMkIgEBgBEAAcNmaNRYEx4%2B3I%2BoKHRwGL7mEnsHjkZaWprS0NOXn5ysjI4MACBwFARAAwsi6dTZE/P77Nn%2BwUJkyNkz8xz9aGKxWzbUSIwI9gEBgBEAACFPr11sQfO%2B94j2DZctKPXtKV1xhG0%2BzmvhwBEAgMAIgAESAtWstCL73nrRwof96%2BfJSnz7SoEG2tUyFCu7VGE4IgEBgBEAAiDCrVkljx1pbtsx/vWJF21LmqqukXr2kcuXcq9FtBEAgMAIgAEQox5F%2B/FF6911r69b5n6ta1RaPXHWV1LmzLSjxEgIgEBgBEACigOPYopF33pHGjZO2b/c/d%2BqpFgQHD5aaNnWtxFJFAAQCIwACQJQ5cED64gsLgxMm2FnFhdq1k66%2B2haQRPO2MgRAIDACIABEsT17pClTpLfekj75xMKhZCuJzz9fuuYa6cIL7ZziaEIABAIjAAKAR/zyiw0Pv/WWNHeu/3pSku0vOGSI9Ic/RMd8QQIgEBgBEAA8aOVK6c03pbffljZs8F9v0kS69lrrGaxb17XyThoBEAiMAAgAHlZQIM2aJb3xhs0XzMmx62XK2FYy111nW8tE2hAxARAIjAAIAJBki0XGj5def12aPdt/vUoVW0F8/fVS69bu1XciCIBAYARAAMBhVq%2B2XsE33pA2bfJfb9tWuuEG6corbe5guCIAAoERAAEAR5WfL82YIf3vf9IHH0h5eXY9Pt4Wjtx0k9SpU/gtHCEAAoERAAEAx%2BXXX20F8auvFj%2BCrnlzC4JXX23DxeGAAAgERgAEAJwQx5G%2B%2B04aNcq2ldm7167HxVmv4K23Sh06uNsrSAAEAiMAAgBK7LffpDFjpP/%2BV1qyxH%2B9dWsLgldeKVWqVHr1pKWlKS0tTfn5%2BcrIyCAAAkdBAAQAnLTCXsH//ld67z1p3z67nphoG0zfdlvpnkNMDyAQGAEQABBUO3fa6uGXXpJ%2B%2Bsl/vUcP6fbbpf79pZiY0NZAAAQCIwACAEKioED67DMpLU2aOtUeS1L9%2BjY8fOONUtWqoflvEwCBwAiAAICQW79eevllWziyY4ddi4uTrrpKuvtuqWXL4P73CIBAYARAAECp2bdPGjtW%2Bs9/pEWL/NfPPVcaOlTq18%2BOoTtZBEAgMAIgAKDUOY70zTcWBCdM8A8PN25sQfDaa6WKFUv%2B9QmAQGAEQACAqzZssHmCr7xi28pItqH0zTdLd94p1a594l%2BTAAgERgAEAISF3btt9fBzz9lZxJJUrpzNE7z3XqlFi%2BP/WgRAILAgzLQAAODkVaok3XGHtHKlNGmS1LWrnT38xhu2SKRfP2nWLBs%2BBnByCIAAgLBStqw0cKD01VfSnDnSJZfYwpCPPpLOPlvq1EmaONE/bxDAiSMAAgDCysSJE3XeeeepWrVq6tTJp0cfTVdGhu0dGBcnzZ1roTAlRXr9dWn//kO%2BwNy50jPP2OcZGaVePxAJCIAAgLCSk5OjLl266Iknnii61qiR9OKL0rp10iOPSJUr21Dx9dfbyuEXXpD2bt5p%2B8l07Cg99pi9MTVVGjRIys1155sBwhSLQAAAYWndunVq2LChFi1apNatWxd7LivLzh1%2B9llp61a79mW53jo7b4Y9LylJUqakREm65RY7mw6AJHoAAQARKDFRuv9%2Bae1ay3V9aqUXhb8jev11/xEkAAiAAIDIFRdnnXuThn4e%2BIW5udJ335VOUUAEIAACAFwzZswYVapUqah99dVXJfo6M2Z9cczX7M6LLdHXBqIRcwABAK7Jzs7Wtm3bih7XqVNH8fHxkgLPATxU7po1Kn/GGfIdOCDp8DmAv6qqUhI36877YnX33TaEDHgZPYAAANckJCSocePGRa0w/J2o2NNOk%2B/mm4/6/Gs1H9EvWbH629%2Bkhg2lJ56QcnJKWjUQ%2BQiAAICwsnPnTqWnp2vZsmWSpJUrVyo9PV1bC5f7Hs1//iM9/HDx7r3q1aX//Ef3//xnjR0rNW0q7dwp/eUv0mmn2VvYIQZexBAwACCsvPHGG7ruuusOuz5s2DANHz782F8gJ0dZM2cq6YILlPnrr0qsWrXoqfx86Z13pOHDpTVr7Fr9%2BtKwYdI110gxMcH5HoBwRwAEAESdrKwsJSUlKTMzU4lHmPCXlyf973/SP/4hbd5s15o2lR5/3I6h8/lKuWCglDEEDADwnHLlpJtvllatkp5%2BWjrlFGnFCunii6XOnaXZs92uEAgtAiAAwLPi46V777Xh4EcflSpUkObMkbp3ly64QPp9GiIQdQiAAADPS0qy4eDVq21j6bJlpWnTpJYtpZtukrZscbtCILgIgAAA/C452Y6WW7bMhoMLCqRRo6QmTaTHHmPrGEQPAiAAAIc4/XRpwgTp66%2Bljh0t%2BA0bJp1xhvTmmxYMgUhGAAQA4Ci6dLEjhMeOlU491VYMDxliofDrr92uDig5AiAAAAH4fNIf/ygtX24niCQkSPPnS926SVdcIW3c6HaFwIkjAAIAcBzi4qQHH7StY264wYLhuHE2LPzYY9LevW5XCBw/AiAAACegZk1bGLJwofUC7t1r8wNTUqRJkySOV0AkIAACAFACrVtLs2bZ/MC6daV162zl8PnnSytXul0dEBgBEAAQNdLS0pSSkqLU1NRS%2Be8Vzg9csUJ65BGpfHnp009t/8CHH2bbGIQvzgIGAESdY50FHCo//STdfbf00Uf2uH596T//kQYMKLUSgONCDyAAAEHSuLE0dar0wQdSgwbShg3SwIFS//42RAyECwIgAABB5PNZj9%2ByZdJf/iKVK2ehsHlz6amnpLw8tysECIAAAIREhQrS449LP/wgde8u7dlj28i0ayfNmeN2dfA6AiAAACHUrJn05ZfS669LVatKS5ZInTtLd94pZWW5XR28igAIAECI%2BXzStdfaauFrrrG9AkeOtGHhKVPcrg5eRAAEAKCUVKsmjR4tzZghnXaatGmTdOGF0qBB0vbtblcHLyEAAgBQynr2tKHg%2B%2B%2BXypa1zaRTUqR33uEkEZQOAiAAAC6oUMFWBX//vXTmmdKOHdJVV9kK4p9/drs6RDsCIAAALmrXTpo/X3rsMdsyZsoUmxv45pv0BiJ0CIAAALisXDnpr3%2BVFi6U2reXfvtNGjLE5gdu2eJ2dYhGBEAAAMJEixbSd9/Z/oHly/s3kH73XXoDEVwEQAAAwkhMjJ0gsmCB1LattGuXdOWV0h//aPMEgWAgAAIAEIZatLATQ4YPt5XC779v1z76yO3KEA0IgAAAhKly5aRhw2ylcLNm0tatUr9%2B0q23Sjk5bleHSEYABABEjbS0NKWkpCg1NdXtUoKqXTsbEh461B6//LLUpo00b567dSFy%2BRyHaaUAgOiSlZWlpKQkZWZmKjEx0e1ygurzz22F8ObNNl9w%2BHDpoYdsmBg4XvQAAgAQQXr0sFNELr9cOnBAevRR6dxzpQ0b3K4MkYQACABAhKlSxY6Pe%2BMNqVIlafZsqVUrafx4tytDpCAAAgAQgXw%2BGwpOT5c6dLDNoy%2B7TLr5ZmnPHrerQ7gjAAIAEMEaNZK%2B/trmAfp80iuvSKmp0o8/ul0ZwhkBEACACFeunDRihDRjhpScLC1bZiFw1ChOEMGREQABAIgSPXpIP/wgnX%2B%2BtG%2BfdNNN0lVXSdnZbleGcEMABAAgitSoIU2bJj35pG0N8%2B67Uvv20uLFbleGcEIABAAgypQpIz3wgK0OrltXysiQOnaUXnuNIWEYAiAAAFGqc2dbJdy3rw0J33CDdN11rBIGARAAgKhWtao0ZYr0r39Zz%2BDo0VKnTtKqVW5XBjcRAAEAiHJlykgPPyx99pnNEVyyxOYFfvCB25XBLQRAAAA84pxzpEWLpK5dpaws6aKLLBjm57tdGUobARAAAA%2BpXVv64gtp6FB7PGKE1KePtGOHu3WhdBEAAQDwmHLlpP/7P9sipkIF20C6XTvrHYQ3EAABAPCoK66Q5syx4%2BTWr5e6dJHeecftqlAaCIAAgKiRlpamlJQUpaamul1KxGjZUpo3z04P2bvXTg657z7pwAG3K0Mo%2BRyHLSEBANElKytLSUlJyszMVGJiotvlRIT8fOmvf7U5gZLUu7c0dqxUpYq7dSE06AEEAAAqW1Z6/HFp3DibF/jpp1KHDtLy5W5XhlAgAAIAgCKXXy59841Uv77000%2B2afRHH7ldFYKNAAgAAIpp3drmBXbrZvsF9u8vPfss5whHEwIgAAA4TI0adnLIDTdIBQXSvfdKN94o7d/vdmUIBgIgAAA4ovLlpVdesT0Dy5SRXnvNFoewaXTkIwACAICj8vns1JApU6SEBGnWLJsXmJHhdmU4GQRAAABwTH37St9%2BKzVo4F8cMmuW21WhpAiAAADguLRoIX3/vdSxo7Rrl9Srl/Tmm25XhZIgAAIAgONWs6b05ZfSZZdJeXnSkCHS3//OCuFIQwAEAAAnJD7eTgl58EF7PHy4dN11rBCOJARAAABwwsqUkZ54Qvrvf%2B0UkdGjpX79bN9AhD8CIAAAKLGbbrIVwhUr2r6B3bpJmze7XRWOhQAIAABOSp8%2B0uzZUnKytHix9Ic/SEuXul0VAiEAAgCAk9a2rfTdd9IZZ0gbN0pdu0pffeV2VTgaAiAAIGqkpaUpJSVFqampbpfiSaeeKn3zjdS5s/Tbb7ZNzKRJbleFI/E5Dgu3AQDRJSsrS0lJScrMzFRiYqLb5XjO3r3SoEHShx/aYpEXX5RuvtntqnAwegABAEBQxcdL48dLN94oFRRIt9wi/eMf7BUYTgiAAAAg6GJibIuYv/7VHv/tb9Jdd1kghPsIgAAAICR8Pumxx6QXXrDPR46Urr7aThCBuwiAAAAgpO64QxozxnoF33lHGjBA2rPH7aq8jQAIAABCbtAgafJkmx84fbp03nlSZqbbVXkXARAAAJSKPn2kGTOkpCTp66%2Blc86RfvnF7aq8iQAIAABKTZcu0syZUvXq0qJF0llncXScGwiAAACgVLVubaeE1KsnrVhh5wevWeN2Vd5CAAQAAKXujDMsBDZuLK1dayFwxQq3q/IOAiAAIGQmTpyo8847T9WqVZPP51N6evox3/PGG2/I5/Md1vbt21cKFaM0NWggzZ4tNW8u/fyzDQcvXux2Vd5AAAQAhExOTo66dOmiJ5544oTel5iYqC1bthRrcXFxIaoSbqpVy%2BYEtmljC0LOPltasMDtqqJfjNsFAACi19VXXy1JWrdu3Qm9z%2BfzKTk5OQQVIRxVqyZ98YV0/vnS999LPXpIH38sderkdmXRix5AAEDY2b17txo0aKC6devqggsu0KJFi9wuCSFWubL06ac2FzAzU%2BrVy%2BYIIjQIgACAsNK0aVO98cYbmjx5st59913FxcWpS5cuWrVq1VHfk5ubq6ysrGINkScx0TaJPvdcafdu6xGcOdPtqqITARAAEBRjxoxRpUqVitpXJey%2B6dSpkwYPHqxWrVqpW7dueu%2B993T66afrhRdeOOp7RowYoaSkpKJWr169kn4bcFnFitKUKVLv3nZcXN%2B%2BNjyM4PI5juO4XQQAIPJlZ2dr27ZtRY/r1Kmj%2BPh4STYHsGHDhlq0aJFat259wl/7xhtv1KZNmzR9%2BvQjPp%2Bbm6vc3Nyix1lZWapXr54yMzOVmJh4wv89uG/fPunii61HMD7eQmGPHm5XFT1YBAIACIqEhAQlJCQE/es6jqP09HS1bNnyqK%2BJjY1VbGxs0P/bcE9cnDRpknTJJdK0adIFF0hTpxICg4UhYABAyOzcuVPp6elatmyZJGnlypVKT0/X1q1bi15zzTXX6C9/%2BUvR47///e/65JNPtGbNGqWnp%2BtPf/qT0tPTdcstt5R6/XBXbKw0YYKFv3377OPnn7tdVXQgAAIAQmby5Mlq06aN%2BvXrJ0m64oor1KZNG7388stFr9mwYYO2bNlS9Pi3337TTTfdpGbNmql3797avHmzZs%2BerQ4dOpR6/XBfbKw0frw/BPbvL335pdtVRT7mAAIAok5WVpaSkpKYAxhFcnNtTuBHH0kVKtjH7t3dripy0QMIAADCXuFwcJ8%2Btjq4Xz/p66/dripyEQABAEBEiIuTJk60TaJzcmyLmO%2B/d7uqyEQABAAAESMuTvrgA%2Bmcc6TsbOm886SFC92uKvIQAAEAQESpUMH2Beza1X9s3JIlblcVWQiAAAAg4lSsaPsDdugg7dwp9ewprVzpdlWRgwAIAAAiUmKi9PHHUuvW0vbttkn02rVuVxUZCIAAACBiVakiffqp1KyZtHmzhcDdu92uKvwRAAEAQESrXt1OCGncWLrrLqlSJbcrCn%2BcBQwAACJerVrSDz/YAhEcGz2AAAAgKhD%2Bjh8BEAAQNdLS0pSSkqLU1FS3SwHCGmcBAwCiDmcBA4HRAwgAAOAxBEAAAACPIQACAAB4DAEQAADAYwiAAAAAHkMABAAA8BgCIAAAgMcQAAEAADyGAAgAAOAxBEAAAACPIQACAAB4DAEQAADAYwiAAAAAHkMABAAA8BgCIAAgaqSlpSklJUWpqalulwKENZ/jOI7bRQAAEExZWVlKSkpSZmamEhMT3S4HCNUJuJAAAAHzSURBVDv0AAIAAHgMARAAAMBjCIAAAAAeQwAEAADwGAIgAACAxxAAAQAAPIYACAAA4DEEQAAAAI8hAAIAAHgMARAAAMBjCIAAAAAeQwAEAADwGAIgAACAxxAAAQAAPIYACAAA4DEEQABA1EhLS1NKSopSU1PdLgUIaz7HcRy3iwAAIJiysrKUlJSkzMxMJSYmul0OEHYIgACAqOM4jrKzs5WQkCCfz%2Bd2OUDYIQACAAB4DHMAAQAAPIYACAAA4DEEQAAAAI8hAAIAAHgMARAAAMBjCIAAAAAeQwAEAADwGAIgAACAxxAAAQAAPIYACAAA4DEEQAAAAI8hAAIAAHgMARAAAMBjCIAAAAAeQwAEAADwGAIgAACAxxAAAQAAPIYACAAA4DEEQAAAAI8hAAIAAHgMARAAAMBjCIAAAAAeQwAEAADwGAIgAACAxxAAAQAAPIYACAAA4DEEQAAAAI8hAAIAAHgMARAAAMBjCIAAAAAeQwAEAADwGAIgAACAxxAAAQAAPIYACAAA4DEEQAAAAI8hAAIAAHgMARAAAMBjCIAAAAAeQwAEAADwGAIgAACAxxAAAQAAPIYACAAA4DEEQAAAAI8hAAIAAHgMARAAAMBjCIAAAAAeQwAEAADwGAIgAACAxxAAAQAAPIYACAAA4DH/D3sWtBWIMSmrAAAAAElFTkSuQmCC'}