\\ This is the file data1.txt from the paper "Three-point bounds for energy
\\ minimization" by Henry Cohn and Jeechul Woo.  It contains the data needed
\\ to deal with the potential function t^2.

L = vector(7);
c = 2651870238874/39558216796875;
L[1] = [2173692561238744127/564839119013203125000, -471153137574456562861/36149703616845000000000, -6409193664575942629/122958175567500000000, 380182660051184119/2550243641400000000, -935618719665078419/10626015172500000000; -471153137574456562861/36149703616845000000000, 17034120624749915336263/385596838579680000000000, 3242241024686615774551/18361754218080000000000, -343405688424716015201/680064971040000000000, 67586710493075108297/226688323680000000000; -6409193664575942629/122958175567500000000, 3242241024686615774551/18361754218080000000000, 206057971899134600249/291456416160000000000, -39287916189866769319/19430427744000000000, 12891108315379352741/10794682080000000000; 380182660051184119/2550243641400000000, -343405688424716015201/680064971040000000000, -39287916189866769319/19430427744000000000, 187272070325504039693/32384046240000000000, -12289964496462662999/3598227360000000000; -935618719665078419/10626015172500000000, 67586710493075108297/226688323680000000000, 12891108315379352741/10794682080000000000, -12289964496462662999/3598227360000000000, 8864355908463731/4393440000000000];
L[2] = [87210651187601130631649/231358103147808000000000, 101143633384338931871/27542631327120000000000, -1693102190263807843397/2040194913120000000000, 7395087039502772479/85008121380000000000; 101143633384338931871/27542631327120000000000, 2604028817117684515093/2040194913120000000000, -22811645664109189873/18216026010000000000, 316539524249007149/1494648288000000000; -1693102190263807843397/2040194913120000000000, -22811645664109189873/18216026010000000000, 105471545605751024071/25187591520000000000, -277027998383691907/138393360000000000; 7395087039502772479/85008121380000000000, 316539524249007149/1494648288000000000, -277027998383691907/138393360000000000, 90915017947813853/39540960000000000];
L[3] = [6576152804496504283/282419559506601562500, 44802750318285354797/430353614486250000000, -2066263/12500000, -116939/300000000; 44802750318285354797/430353614486250000000, 175009456159994280073/255024364140000000000, -43670671922471761933/78469035120000000000, -34090011813892504553/340032485520000000000; -2066263/12500000, -43670671922471761933/78469035120000000000, 12631514105046118081/9445346820000000000, -623162479772546897/7556277456000000000; -116939/300000000, -34090011813892504553/340032485520000000000, -623162479772546897/7556277456000000000, 5127186076128617/69196680000000000];
L[4] = [506265536706589981877/4080389826240000000000, -11220613858245931/787112235000000000, -5252974501944472781/50375183040000000000; -11220613858245931/787112235000000000, 129885422837758163/5667208092000000000, -119227894239936217/3148448940000000000; -5252974501944472781/50375183040000000000, -119227894239936217/3148448940000000000, 12572941497281479/61508160000000000];
L[5] = [297090709288007/498094461210937500, 433469705784545849/63756091035000000000, -419209351738721513/21252030345000000000; 433469705784545849/63756091035000000000, 711287386091169751/8395863840000000000, -11176079890049313287/45337664736000000000; -419209351738721513/21252030345000000000, -11176079890049313287/45337664736000000000, 595643538937271213/830360160000000000];
L[6] = [10958665682684077/725402635776000000, -30793703503331757629/453376647360000000000; -30793703503331757629/453376647360000000000, 507165902866137793/1660720320000000000];
L[7] = [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, 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, 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, 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; 0, 2329677090107/797161500000000, 0, -65111091186161/2125764000000000, 0, 5042112634969/118098000000000, 0, -69705683/3037500000, 0, 0, 0, 0, 0, 0, 0, 0, 4662057866729/354294000000000, 0, -1606088503799/354294000000000, 0, 6844679603/291600000000, 0, 0, 0, 0, 0, 0, 1235538111007/118098000000000, 0, -18651862837793/236196000000000, 0, 0, 0, 0, 643896516529/59049000000000, 0, 0, 0, 0, 0, 0, 0, 0, 101722619727433/6377292000000000, 0, -94624801677619/3188646000000000, 0, -83583905693/23619600000000, 0, 0, 0, 0, 0, 0, -8947526146949/212576400000000, 0, 4063590405499/66430125000000, 0, 0, 0, 0, 14226608369287/708588000000000, 0, 0, 0, 31911453572761/2125764000000000, 0, 226741813793/23619600000000, 0, 14954691053/874800000000, 0, 0, 0, 0, 0, 0, -38627690759003/531441000000000, 0, 1196733247/9720000000, 0, 0, 0, 0, -35973239341141/708588000000000, 0, 0, 0, 0, 0, 0, -10217509376803/354294000000000, 0, 12700046821/437400000000, 0, 0, 0, 0, 1027248700597/29524500000000, 0, 0, 0, -82266639017/4723920000000, 0, -12950779627/218700000000, 0, 0, 0, 0, -16370723/9112500000, 0, 0, 0, 0, 56539560107/3936600000000, 0, 0, 0, 9660510823/437400000000, 0, 0; 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