\\ This is the file data5.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(t-1/9)^2(t-1/3).

L = vector(7);
c = 9810891871/3229242187500;
L[1] = [42719798542854569/80691302716171875000, 641869899074878463/8262789398136000000000, -3793948401063388531/1967330809080000000000, 568331303399489771/72864104040000000000, -33253046590444931/3469719240000000000; 641869899074878463/8262789398136000000000, 14325194286185028587/440682101233920000000000, -1877630776555794809/4196972392704000000000, 1281587723740756547/777217109760000000000, -65834052770440709/37010338560000000000; -3793948401063388531/1967330809080000000000, -1877630776555794809/4196972392704000000000, 3044629386363317509/333093047040000000000, -3859603391753705023/111031015680000000000, 96992698583459501/2467355904000000000; 568331303399489771/72864104040000000000, 1281587723740756547/777217109760000000000, -3859603391753705023/111031015680000000000, 4958805525694750297/37010338560000000000, -635108609809068163/4112259840000000000; -33253046590444931/3469719240000000000, -65834052770440709/37010338560000000000, 96992698583459501/2467355904000000000, -635108609809068163/4112259840000000000, 6423337044286273/35147520000000000];
L[2] = [2704617698489200161737/1322046303701760000000000, -232947012164805860297/31477292945280000000000, 29354479902170042759/2331651329280000000000, 42495093409731961/6939438480000000000; -232947012164805860297/31477292945280000000000, 90888585966494463761/2331651329280000000000, -1062595854334054493/14572820808000000000, -906298799086529267/22206203136000000000; 29354479902170042759/2331651329280000000000, -1062595854334054493/14572820808000000000, 5316612651339208579/28785818880000000000, -121785788677033931/2056129920000000000; 42495093409731961/6939438480000000000, -906298799086529267/22206203136000000000, -121785788677033931/2056129920000000000, 147808436826827503/316327680000000000];
L[3] = [4925948213270131/40345651358085937500, -84440764137486421/140523629220000000000, 1697489/600000000, -3722821/1500000000; -84440764137486421/140523629220000000000, 3561099275315000567/291456416160000000000, -10356668019198344377/233165132928000000000, 2202337077925601333/55515507840000000000; 1697489/600000000, -10356668019198344377/233165132928000000000, 1928565540435462209/10794682080000000000, -1298633181087529103/6168389760000000000; -3722821/1500000000, 2202337077925601333/55515507840000000000, -1298633181087529103/6168389760000000000, 35245404522491929/79081920000000000];
L[4] = [1426247193336394829/932660531712000000000, -304371013078081/44977842000000000, 162984907879036699/11514327552000000000; -304371013078081/44977842000000000, 28660583154473527/711737280000000000, -624787670473873951/7196454720000000000; 162984907879036699/11514327552000000000, -624787670473873951/7196454720000000000, 13191841797000179/70295040000000000];
L[5] = [5742915389093/71156351601562500, -1470224019663449/2914564161600000000, 38960880000997937/24288034680000000000; -1470224019663449/2914564161600000000, 2611738118566379/822451968000000000, -523022984802314611/51814473984000000000; 38960880000997937/24288034680000000000, -523022984802314611/51814473984000000000, 30450092791379833/948983040000000000];
L[6] = [80671476308553401/518144739840000000000, -68750240254817791/74020677120000000000; -68750240254817791/74020677120000000000, 10619745034054853/1897966080000000000];
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, 515433952913/3188646000000000, 0, -36674876869/170061120000000, 0, -858561149/118098000000000, 0, -53938981/291600000000, 0, 0, 0, 0, 0, 0, 0, 0, -558649734097/1417176000000000, 0, 129703329307/354294000000000, 0, -1102795201/324000000000, 0, 0, 0, 0, 0, 0, -415320307103/472392000000000, 0, 2838838849961/472392000000000, 0, 0, 0, 0, 2499067051/9447840000000, 0, 0, 0, 0, 0, 0, 0, 0, 4855265772181/6377292000000000, 0, -1852114028581/1275458400000000, 0, 71748036871/59049000000000, 0, 0, 0, 0, 0, 0, -10907340940699/4251528000000000, 0, 5001046005341/2125764000000000, 0, 0, 0, 0, 1933227816221/1417176000000000, 0, 0, 0, -2076136651897/4251528000000000, 0, -270004603669/236196000000000, 0, 20695909837/8748000000000, 0, 0, 0, 0, 0, 0, 23558846168603/4251528000000000, 0, -21254571853/4374000000000, 0, 0, 0, 0, -4270784966713/708588000000000, 0, 0, 0, 0, 0, 0, -535470867407/283435200000000, 0, 1748224123/1093500000000, 0, 0, 0, 0, 2239208689027/472392000000000, 0, 0, 0, 34778569141/47239200000000, 0, 3644185537/1458000000000, 0, 0, 0, 0, -22113179297/4374000000000, 0, 0, 0, 0, 3211214023/7873200000000, 0, 0, 0, -3206796539/2187000000000, 0, 0; 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