\\ This is the file data3.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).

L = vector(7);
c = 714556027/105488578125;
L[1] = [341627575771667/564839119013203125, -32849712932532781/57839525786952000000, -3066153788835497/393466161816000000, 12362030637043487/510048728280000000, -3156075771944573/170016242760000000; -32849712932532781/57839525786952000000, 27159679037133223799/3084774708637440000000, -6380819352516044881/146894033744640000000, 736127635275099311/5440519768320000000, -188670174675780527/1813506589440000000; -3066153788835497/393466161816000000, -6380819352516044881/146894033744640000000, 238152271701454181/466330265856000000, -1219165402355026363/777217109760000000, 100336733376791749/86357456640000000; 12362030637043487/510048728280000000, 736127635275099311/5440519768320000000, -1219165402355026363/777217109760000000, 1249204816554870109/259072369920000000, -103024850704184719/28785818880000000; -3156075771944573/170016242760000000, -188670174675780527/1813506589440000000, 100336733376791749/86357456640000000, -103024850704184719/28785818880000000, 93904651467763/35147520000000];
L[2] = [748847602650645136013/9254324125912320000000, -14544350424284537837/220341050616960000000, 1000861413657477251/16321559304960000000, -53471847373584161/340032485520000000; -14544350424284537837/220341050616960000000, 1262656393563003697/3264311860992000000, -119623163444714719/72864104040000000, 879320204589417893/777217109760000000; 1000861413657477251/16321559304960000000, -119623163444714719/72864104040000000, 1625121742209143279/201500732160000000, -87347825860611863/14392909440000000; -53471847373584161/340032485520000000, 879320204589417893/777217109760000000, -87347825860611863/14392909440000000, 2149339849702621/316327680000000];
L[3] = [6576398246948359/1129678238026406250, -61713164805061087/6885657831780000000, 294247/3000000, -3029/20000; -61713164805061087/6885657831780000000, 1460509266448439/6277522809600000, -5688425500198432913/8160779652480000000, 2069068023581566367/2720259884160000000; 294247/3000000, -5688425500198432913/8160779652480000000, 52533482695532017/15112554912000000, -283994945628772969/60450219648000000; -3029/20000, 2069068023581566367/2720259884160000000, -283994945628772969/60450219648000000, 3742009043590333/553573440000000];
L[4] = [1558559538313852069/32643118609920000000, -66776962462493/590334176250000, 85434465091886723/403001464320000000; -66776962462493/590334176250000, 315690496958192857/453376647360000000, -75843247639245379/50375183040000000; 85434465091886723/403001464320000000, -75843247639245379/50375183040000000, 1619639237594207/492065280000000];
L[5] = [2830444092898/996188922421875, -6596220110629229/510048728280000000, 1427933075293129/34003248552000000; -6596220110629229/510048728280000000, 15350024448199237/201500732160000000, -88167108108779263/362701317888000000; 1427933075293129/34003248552000000, -88167108108779263/362701317888000000, 1031635608900569/1328576256000000];
L[6] = [256803824693629/55800202752000000, -231667469670361/11160040550400000; -231667469670361/11160040550400000, 64719931497377/531430502400000];
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, 44598668399/3188646000000, 0, -118511713531/4251528000000, 0, 4986991583/236196000000, 0, -504199/58320000, 0, 0, 0, 0, 0, 0, 0, 0, -34903324463/708588000000, 0, 6194370157/354294000000, 0, -4370663/182250000, 0, 0, 0, 0, 0, 0, 31118074333/472392000000, 0, 34336298843/472392000000, 0, 0, 0, 0, -17440194859/472392000000, 0, 0, 0, 0, 0, 0, 0, 0, 218883399257/12754584000000, 0, 245991151999/6377292000000, 0, -8300335597/118098000000, 0, 0, 0, 0, 0, 0, -191447594017/4251528000000, 0, -125742266671/2125764000000, 0, 0, 0, 0, 6996260933/354294000000, 0, 0, 0, -219671874121/4251528000000, 0, 87715291/2952450000, 0, -9254359/4374000000, 0, 0, 0, 0, 0, 0, 581704380329/4251528000000, 0, 145717813/4374000000, 0, 0, 0, 0, -83058930241/708588000000, 0, 0, 0, 0, 0, 0, -67374470293/1417176000000, 0, -144952411/4374000000, 0, 0, 0, 0, 46119450997/472392000000, 0, 0, 0, 13937584937/236196000000, 0, 306131609/4374000000, 0, 0, 0, 0, -663628279/8748000000, 0, 0, 0, 0, 231783581/39366000000, 0, 0, 0, -220746443/4374000000, 0, 0; 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