\\ This is the file data4.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.

L = vector(7);
c = 315921028/105488578125;
L[1] = [225723250277234/564839119013203125, -7906742794382069/72299407233690000000, -1204829003430397/491832702270000000, 217920742350751/25502436414000000, -357033962848637/42504060690000000; -7906742794382069/72299407233690000000, 1424995461720183047/771193677159360000000, -345399097080431521/36723508436160000000, 39815162589561791/1360129942080000000, -10183296461100767/453376647360000000; -1204829003430397/491832702270000000, -345399097080431521/36723508436160000000, 66083176357651561/582912832320000000, -13631050205026031/38860855488000000, 5720882694428149/21589364160000000; 217920742350751/25502436414000000, 39815162589561791/1360129942080000000, -13631050205026031/38860855488000000, 70556152972834957/64768092480000000, -5981450678149951/7196454720000000; -357033962848637/42504060690000000, -10183296461100767/453376647360000000, 5720882694428149/21589364160000000, -5981450678149951/7196454720000000, 5716952349379/8786880000000];
L[2] = [980029699988180461/35593554330432000000, -2527488567483579821/55085262654240000000, 349849715019440387/4080389826240000000, -7260452037898907/85008121380000000; -2527488567483579821/55085262654240000000, 1200708002499717317/4080389826240000000, -2611108717366019/2802465540000000, 17435871781253953/38860855488000000; 349849715019440387/4080389826240000000, -2611108717366019/2802465540000000, 166733417665488239/50375183040000000, -7004278578791279/3598227360000000; -7260452037898907/85008121380000000, 17435871781253953/38860855488000000, -7004278578791279/3598227360000000, 200970739604077/79081920000000];
L[3] = [1232481838857677/564839119013203125, -913563957836923/132416496765000000, 6349/150000, -8441/150000; -913563957836923/132416496765000000, 60903834735917267/510048728280000000, -788810480888685041/2040194913120000000, 261888788720635103/680064971040000000; 6349/150000, -788810480888685041/2040194913120000000, 31907755909566269/18890693640000000, -32320352717697673/15112554912000000; -8441/150000, 261888788720635103/680064971040000000, -32320352717697673/15112554912000000, 443178065820493/138393360000000];
L[4] = [157853745208707013/8160779652480000000, -593437559318729/9445346820000000, 12665429629981571/100750366080000000; -593437559318729/9445346820000000, 7935835449122591/22668832368000000, -9449494674797581/12593795760000000; 12665429629981571/100750366080000000, -9449494674797581/12593795760000000, 199056800225711/123016320000000];
L[5] = [1222666229458/996188922421875, -839090853592109/127512182070000000, 897778832606093/42504060690000000; -839090853592109/127512182070000000, 1836827843271797/50375183040000000, -10590143036541391/90675329472000000; 897778832606093/42504060690000000, -10590143036541391/90675329472000000, 621338796847597/1660720320000000];
L[6] = [17622420946657/7254026357760000, -10822392335621821/906753294720000000; -10822392335621821/906753294720000000, 224654491986857/3321440640000000];
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, 4454068499/797161500000, 0, -5176277393/531441000000, 0, 450078793/118098000000, 0, -180683/18225000, 0, 0, 0, 0, 0, 0, 0, 0, -16333109189/708588000000, 0, 2123887091/177147000000, 0, 340237/97200000, 0, 0, 0, 0, 0, 0, 851360521/29524500000, 0, 2176820401/59049000000, 0, 0, 0, 0, -4749190313/236196000000, 0, 0, 0, 0, 0, 0, 0, 0, 34593888991/6377292000000, 0, 22572478733/797161500000, 0, -174805007/5904900000, 0, 0, 0, 0, 0, 0, -4331996987/212576400000, 0, -2657877287/66430125000, 0, 0, 0, 0, 3737941039/708588000000, 0, 0, 0, -21881883019/1062882000000, 0, 223884107/23619600000, 0, 15232703/874800000, 0, 0, 0, 0, 0, 0, 63562829423/1062882000000, 0, -7621637/437400000, 0, 0, 0, 0, -16471308821/354294000000, 0, 0, 0, 0, 0, 0, -6229822111/354294000000, 0, -53263/1518750, 0, 0, 0, 0, 7618356451/118098000000, 0, 0, 0, 281078881/11809800000, 0, 2742529/109350000, 0, 0, 0, 0, -3042863/174960000, 0, 0, 0, 0, -1857259/393660000, 0, 0, 0, -9519337/437400000, 0, 0; 0, 0, 804776777/22143375000, 0, -404537371/4723920000, 0, 390769/19440000, 0, 0, 0, 0, 0, 0, 0, 0, -1420098277/132860250000, 0, -40383053053/354294000000, 0, 200046859/1230187500, 0, 0, 0, 0, 0, 0, 12914337469/236196000000, 0, 5160927277/78732000000, 0, 0, 0, 0, -1077461/24300000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3678525493/6377292000000, 0, 8207052707/78732000000, 0, -240187/4860000, 0, 0, 0, 0, 0, 0, -1401860203/425152800000, 0, -6031566407/26244000000, 0, 0, 0, 0, 11850133/7381125000, 0, -12859344859/708588000000, 0, -258380573/8748000000, 0, 1371017/12150000, 0, 0, 0, 0, 0, 0, 19148947877/354294000000, 0, 2017531/24300000, 0, 0, 0, 0, -82084667/656100000, 0, 0, 0, 0, 0, 0, 0, 0, -190634353/3936600000, 0, -406049/4860000, 0, 0, 0, 0, 1038997/6075000, 0, 1122965137/29524500000, 0, -433631/8100000, 0, 0, 0, 0, 134491/291600000, 0, 0, 0, 0, 0, 0, -2870501/437400000, 0, -3429631/291600000, 0, 0, 0; 0, -5176277393/531441000000, 0, 68087309/1230187500, 0, -125174783/2187000000, 0, -249269/24300000, 0, 0, 0, 0, 0, 0, 0, 0, 982252253/78732000000, 0, -3996865199/59049000000, 0, 2093777/24300000, 0, 0, 0, 0, 0, 0, 2489789/546750000, 0, -297002333/2460375000, 0, 0, 0, 0, 4605166559/78732000000, 0, 0, 0, 0, 0, 0, 0, 0, -11467036291/531441000000, 0, 791967869/132860250000, 0, 63777701/1968300000, 0, 0, 0, 0, 0, 0, 116400577/2214337500, 0, -598594559/44286750000, 0, 0, 0, 0, -658125019/59049000000, 0, 0, 0, 1640830651/354294000000, 0, -73693489/984150000, 0, 1449043/18225000, 0, 0, 0, 0, 0, 0, -751504163/88573500000, 0, 20434571/145800000, 0, 0, 0, 0, 597440467/59049000000, 0, 0, 0, 0, 0, 0, 1424788711/29524500000, 0, -368563/24300000, 0, 0, 0, 0, -953848171/9841500000, 0, 0, 0, 59745253/1968300000, 0, -1253059/14580000, 0, 0, 0, 0, -307177/3645000, 0, 0, 0, 0, -139201/656100000, 0, 0, 0, 105343/2332800, 0, 0; 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