\\ This is the file data2.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^3.

L = vector(7);
c = 7410856573/316465734375;
L[1] = [5448488884528427/1129678238026406250, -4118048660747426323/289197628934760000000, -79909268660491/1210665113280000, 7516490979473521/39234517560000000, -20277281675752627/170016242760000000; -4118048660747426323/289197628934760000000, 187124330468954740033/3084774708637440000000, 624273899702685997/11299541057280000000, -11407184257077751/83700304128000000, 60157155721979063/1813506589440000000; -79909268660491/1210665113280000, 624273899702685997/11299541057280000000, 5219688931883161679/2331651329280000000, -5189320464861578909/777217109760000000, 392170389522833123/86357456640000000; 7516490979473521/39234517560000000, -11407184257077751/83700304128000000, -5189320464861578909/777217109760000000, 5163477041518293899/259072369920000000, -391226674729879913/28785818880000000; -20277281675752627/170016242760000000, 60157155721979063/1813506589440000000, 392170389522833123/86357456640000000, -391226674729879913/28785818880000000, 328314057777701/35147520000000];
L[2] = [2037932221576282813819/9254324125912320000000, -2561313236232438287/44068210123392000000, -7822438350878259179/16321559304960000000, 123534604762825121/340032485520000000; -2561313236232438287/44068210123392000000, 10491517595066760211/16321559304960000000, -197153126854032359/72864104040000000, 1675102250631363523/777217109760000000; -7822438350878259179/16321559304960000000, -197153126854032359/72864104040000000, 10550473085213620987/604502196480000000, -45736208794877501/2878581888000000; 123534604762825121/340032485520000000, 1675102250631363523/777217109760000000, -45736208794877501/2878581888000000, 5286248542620203/316327680000000];
L[3] = [19617482140214849/1129678238026406250, 184784317669354111/6885657831780000000, -43597/3000000, -14021/375000; 184784317669354111/6885657831780000000, 418322114358434341/2040194913120000000, -514747551530175947/1632155930496000000, 589087513942515481/2720259884160000000; -43597/3000000, -514747551530175947/1632155930496000000, 337715597000503907/75562774560000000, -408357521206158431/60450219648000000; -14021/375000, 589087513942515481/2720259884160000000, -408357521206158431/60450219648000000, 236728116428291/22142937600000];
L[4] = [526220361542682439/6528623721984000000, -3318794051002333/113344161840000000, -933447526185683/44777940480000000; -3318794051002333/113344161840000000, 336895123283443223/453376647360000000, -86048366528073113/50375183040000000; -933447526185683/44777940480000000, -86048366528073113/50375183040000000, 1980274117399993/492065280000000];
L[5] = [3872633039612/996188922421875, -1584235927594843/510048728280000000, 2327781471200347/170016242760000000; -1584235927594843/510048728280000000, 10737956648603477/120900439296000000, -489544992897535837/1813506589440000000; 2327781471200347/170016242760000000, -489544992897535837/1813506589440000000, 219277414849379/265715251200000];
L[6] = [13416087365467531/3627013178880000000, -13608979018305199/725402635776000000; -13608979018305199/725402635776000000, 1613614479566191/13285762560000000];
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, 61040471371/3188646000000, 0, -26521224619/850305600000, 0, 423535157/11809800000, 0, -1649531/48600000, 0, 0, 0, 0, 0, 0, 0, 0, -109076478733/1417176000000, 0, 5576741941/177147000000, 0, 53291027/2916000000, 0, 0, 0, 0, 0, 0, 39100797397/472392000000, 0, 7739633807/94478400000, 0, 0, 0, 0, -14182373419/236196000000, 0, 0, 0, 0, 0, 0, 0, 0, 3797494507/318864600000, 0, 86696054743/1275458400000, 0, -15516950981/118098000000, 0, 0, 0, 0, 0, 0, -97543101983/4251528000000, 0, -197374833467/2125764000000, 0, 0, 0, 0, 45166528819/1417176000000, 0, 0, 0, -349555819571/4251528000000, 0, 10706615569/236196000000, 0, 194326681/2916000000, 0, 0, 0, 0, 0, 0, 762139548523/4251528000000, 0, -25937543/729000000, 0, 0, 0, 0, -4205870707/88573500000, 0, 0, 0, 0, 0, 0, -36063645323/1417176000000, 0, -294246367/4374000000, 0, 0, 0, 0, -5766375301/472392000000, 0, 0, 0, 21550307827/236196000000, 0, -1111559/1093500000, 0, 0, 0, 0, -5356573/546750000, 0, 0, 0, 0, 721301521/39366000000, 0, 0, 0, -197527681/4374000000, 0, 0; 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