
AttachSpec("echidna-2.0/src/echidna.spec");
load "LurothInvF.m";

P2<x,y,z> := ProjectiveSpace(Rationals(),2);
R<x,y,z> := CoordinateRing(P2);

D :=
[
    x^4 + 3424/147*x^3*y + 2930944/21609*x^2*y^2 - 34822043/9510410*x^3*z - 
        40332613264/699015135*x^2*y*z - 3699296/21609*x*y^2*z + 
        1736680743969369/361791593472400*x^2*z^2 + 31308810341/699015135*x*y*z^2
        + 1243012/21609*y^2*z^2 - 59968642064278/22611974592025*x*z^3 - 
        7651050032/699015135*y*z^3 + 11863147381264/22611974592025*z^4,
    x^4 - 221/7*x^3*y + 48841/196*x^2*y^2 - 413524/80297*x^3*z + 
        69456746/562079*x^2*y*z - 71683/98*x*y^2*z + 
        64115308028/6447608209*x^2*z^2 - 89488020/562079*x*y*z^2 + 
        105169/196*y^2*z^2 - 55013578864/6447608209*x*z^3 + 
        37833412/562079*y*z^3 + 17698577296/6447608209*z^4,
    x^4 + 226/23*x^3*y + 12769/529*x^2*y^2 + 372257/213118*x^3*z - 
        783452321/73525710*x^2*y*z + 276976/7935*x*y^2*z + 
        190419211201/181677127696*x^2*z^2 - 765954896/36762855*x*y*z^2 + 
        103096/7935*y^2*z^2 + 2829897714/11354820481*x*z^3 - 
        240273313/36762855*y*z^3 + 231161616/11354820481*z^4,
    x^4 + 31/34*x^3*y + 961/4624*x^2*y^2 + 256935/221*x^3*z - 
        15871723/7514*x^2*y*z - 36897/4624*x*y^2*z + 65840100777/195364*x^2*z^2 
        + 109721091/30056*x*y*z^2 + 144513/18496*y^2*z^2 - 
        25503625035/48841*x*z^3 - 6154191/3757*y*z^3 + 9852746121/48841*z^4,
    x^4 - 3779/300*x^3*y + 14280841/360000*x^2*y^2 - 6055179/3729280*x^3*z - 
        18386230241/2237568000*x^2*y*z + 9224921/180000*x*y^2*z - 
        134536490204039/55630117273600*x^2*z^2 + 13707338639/1118784000*x*y*z^2 
        + 6479401/360000*y^2*z^2 + 69494435602761/27815058636800*x*z^3 + 
        20711066879/2237568000*y*z^3 + 131718292505881/55630117273600*z^4,
    x^4 - 281/245*x^3*y + 78961/240100*x^2*y^2 - 5022400/3295327*x^3*z - 
        8975602761/807355115*x^2*y*z + 1225537/120050*x*y^2*z + 
        8669909631678/10859180036929*x^2*z^2 + 3044656491/161471023*x*y*z^2 - 
        1477871/240100*y^2*z^2 - 1801318916800/10859180036929*x*z^3 - 
        5805790567/807355115*y*z^3 + 128634843649/10859180036929*z^4,
    x^4 - 3790/1729*x^3*y + 3591025/2989441*x^2*y^2 + 3409428/1616045*x^3*z - 
        2769884022/558828361*x^2*y*z + 7637550/2989441*x*y^2*z - 
        5522255110754/2611601442025*x^2*z^2 - 11509889614/2794141805*x*y*z^2 + 
        7736849/2989441*y^2*z^2 - 1778149669692/522320288405*x*z^3 - 
        3294230790/558828361*y*z^3 + 272002928521/104464057681*z^4,
    x^4 - 11/68*x^3*y + 121/18496*x^2*y^2 - 2125111/1307334*x^3*z - 
        270423893/177797424*x^2*y*z - 97501/97104*x*y^2*z + 
        4602265760929/6836488750224*x^2*z^2 + 2157276293/933436476*x*y*z^2 + 
        2166481/2039184*y^2*z^2 - 2501255647/244160312508*x*z^3 - 
        104891407/133348068*y*z^3 + 1385329/34880044644*z^4,
    x^4 - 38/91*x^3*y + 361/8281*x^2*y^2 + 4359/3241*x^3*z + 
        875473/294931*x^2*y*z - 2566/8281*x*y^2*z - 13110947/42016324*x^2*z^2 - 
        387944/294931*x*y*z^2 + 1793/8281*y^2*z^2 - 10797243/21008162*x*z^3 - 
        41915/294931*y*z^3 + 6135529/42016324*z^4,
    x^4 - 124/65*x^3*y + 3844/4225*x^2*y^2 - 1609/17485*x^3*z + 
        5164748/1136525*x^2*y*z - 18828/4225*x*y^2*z - 
        779690019/1222900900*x^2*z^2 + 5747811/1136525*x*y*z^2 - 
        7671/4225*y^2*z^2 + 3599333/122290090*x*z^3 + 1396877/1136525*y*z^3 + 
        5004169/48916036*z^4,
    x^4 + 22/7*x^3*y + 121/49*x^2*y^2 + 235/147*x^3*z + 2756/1029*x^2*y*z + 
        83/49*x*y^2*z + 54637/86436*x^2*z^2 - 1475/2058*x*y*z^2 + 
        193/196*y^2*z^2 - 235/43218*x*z^3 - 1409/2058*y*z^3 + 1/86436*z^4,
    x^4 - 44666/18733*x^3*y + 498762889/350925289*x^2*y^2 - 
        147598556/102628413*x^3*z + 2267030126/31517017389*x^2*y*z + 
        360390902/350925289*x*y^2*z - 1781846245032386/10532591154898569*x^2*z^\
        2 - 166558390118/174776187339*x*y*z^2 + 82798609/350925289*y^2*z^2 + 
        5197726691114020/10532591154898569*x*z^3 - 11501883130/31517017389*y*z^3
        + 1240117001937025/10532591154898569*z^4,
    x^4 + 11614/6513*x^3*y + 33721249/42419169*x^2*y^2 + 
        570552918/80149813*x^3*z + 2272878128028/174005244023*x^2*y*z + 
        138544702/42419169*x*y^2*z + 59863531000917529/6423992523934969*x^2*z^2 
        + 4891747546834/174005244023*x*y*z^2 + 117598849/42419169*y^2*z^2 - 
        76592822095117536/6423992523934969*x*z^3 + 
        5512894873952/522015732069*y*z^3 + 18021223858895104/6423992523934969*z\
        ^4,
    x^4 - 34/77*x^3*y + 289/5929*x^2*y^2 + 14873/1155*x^3*z + 
        205658/29645*x^2*y*z - 641/5929*x*y^2*z + 242980189/5336100*x^2*z^2 + 
        277383/59290*x*y*z^2 + 23357/118580*y^2*z^2 + 23365483/889350*x*z^3 - 
        394939/296450*y*z^3 + 2468041/592900*z^4,
    x^4 + 1698/11*x^3*y + 720801/121*x^2*y^2 - 27254243/11490743*x^3*z - 
        96467886232/379194519*x^2*y*z - 2217593/363*x*y^2*z + 
        1113293051423061/528148698768196*x^2*z^2 + 
        105468513229/758389038*x*y*z^2 + 2273243/1452*y^2*z^2 - 
        219691574313503/264074349384098*x*z^3 - 19135575923/758389038*y*z^3 + 
        64976835194041/528148698768196*z^4,
    x^4 - 9837/4060*x^3*y + 96766569/65934400*x^2*y^2 + 38308112/36477273*x^3*z 
        - 70555599321/9873181892*x^2*y*z + 210820833/32967200*x*y^2*z - 
        1339201039004594/1330591445516529*x^2*z^2 - 
        1248333482863/148097728380*x*y*z^2 + 423094681/65934400*y^2*z^2 - 
        895854544716560/1330591445516529*x*z^3 - 556724536349/148097728380*y*z^3
        + 546881844105025/1330591445516529*z^4,
    x^4 - 542/75*x^3*y + 73441/5625*x^2*y^2 - 108726/15245*x^3*z + 
        17895168/381125*x^2*y*z - 397786/5625*x*y^2*z + 
        4357692829/232410025*x^2*z^2 - 39113818/381125*x*y*z^2 + 
        561289/5625*y^2*z^2 - 5000743644/232410025*x*z^3 + 
        85112756/1143375*y*z^3 + 2115448036/232410025*z^4,
    x^4 + 93/34*x^3*y + 8649/4624*x^2*y^2 - 129665/32283*x^3*z - 
        5230969/731748*x^2*y*z - 11111/2312*x*y^2*z + 
        24402228997/4168768356*x^2*z^2 + 7229770/1646433*x*y*z^2 + 
        173617/41616*y^2*z^2 - 7620541715/2084384178*x*z^3 + 
        2650027/6585732*y*z^3 + 3454030441/4168768356*z^4,
    x^4 - 4358/567*x^3*y + 4748041/321489*x^2*y^2 + 3101452/375597*x^3*z - 
        499787279/30423357*x^2*y*z + 4166801/107163*x*y^2*z + 
        5878997058593/282146212818*x^2*z^2 + 4034857405/141975666*x*y*z^2 + 
        4064761/142884*y^2*z^2 + 735936566813/47024368803*x*z^3 + 
        4509257029/94650444*y*z^3 + 900887620801/250796633616*z^4,
    x^4 - 203/44*x^3*y + 41209/7744*x^2*y^2 - 658135/306119*x^3*z + 
        192394639/26938472*x^2*y*z - 10807/1936*x*y^2*z + 
        571607873257/374835368644*x^2*z^2 - 1278883/396154*x*y*z^2 + 
        5017/1936*y^2*z^2 - 37211611035/93708842161*x*z^3 + 
        1725591/6734618*y*z^3 + 3196884681/93708842161*z^4,
    x^4 - 898/341*x^3*y + 201601/116281*x^2*y^2 - 1265267/254851*x^3*z + 
        2057918168/86904191*x^2*y*z - 1536503/116281*x*y^2*z - 
        1452708809651/259796128804*x^2*z^2 - 15798914831/173808382*x*y*z^2 + 
        12927049/465124*y^2*z^2 + 3790088319495/129898064402*x*z^3 + 
        25637153145/173808382*y*z^3 + 8972930385225/259796128804*z^4,
    x^4 + 5597/2664*x^3*y + 31326409/28387584*x^2*y^2 + 11232544/68464541*x^3*z 
        - 87093549077/60796512408*x^2*y*z - 36493855/14193792*x*y^2*z - 
        2632273248397458/4687393374340681*x^2*z^2 + 
        27602474687/20265504136*x*y*z^2 + 33912121/28387584*y^2*z^2 - 
        218517697557664/4687393374340681*x*z^3 - 116575262209/182389537224*y*z^3
        + 378457376748361/4687393374340681*z^4,
    x^4 + 694/69*x^3*y + 120409/4761*x^2*y^2 + 46034/52371*x^3*z + 
        24902032/3613599*x^2*y*z - 129574/4761*x*y^2*z - 
        1263191267/2742721641*x^2*z^2 - 23392102/3613599*x*y*z^2 + 
        54721/4761*y^2*z^2 - 29185556/101582283*x*z^3 + 1559884/3613599*y*z^3 + 
        3617604/33860761*z^4,
    x^4 + 281/80*x^3*y + 78961/25600*x^2*y^2 + 5338825/17512528*x^3*z + 
        4263673631/2802004480*x^2*y*z + 41133/70400*x*y^2*z - 
        723032796516527/1226754547803136*x^2*z^2 - 4649363709/7705512320*x*y*z^2
        + 1401849/774400*y^2*z^2 - 28638914799225/306688636950784*x*z^3 - 
        7344798939/7705512320*y*z^3 + 28775424818529/306688636950784*z^4,
    x^4 - 6014/1287*x^3*y + 9042049/1656369*x^2*y^2 - 259483782/66912703*x^3*z -
        1234335736864/86116648761*x^2*y*z + 39280282/1656369*x*y^2*z + 
        22134577267176709/4477309822766209*x^2*z^2 + 
        6829270443782/86116648761*x*y*z^2 - 70503047/1656369*y^2*z^2 - 
        10279693419717516/4477309822766209*x*z^3 - 
        6069802381436/86116648761*y*z^3 + 1569422543619844/4477309822766209*z^4\
        ,
    x^4 - 797/301*x^3*y + 635209/362404*x^2*y^2 - 33785173/30828420*x^3*z + 
        57680042533/9279354420*x^2*y*z - 6622677/1449616*x*y^2*z + 
        956629798756489/3801565918785600*x^2*z^2 - 
        56927089991/49489890240*x*y*z^2 + 25612913/23193856*y^2*z^2 + 
        16877754809053/633594319797600*x*z^3 - 14015267881/148469670720*y*z^3 + 
        249561192721/422396213198400*z^4,
    x^4 + 2249/363*x^3*y + 5058001/527076*x^2*y^2 - 31305358/8889023*x^3*z - 
        3748362062/248208873*x^2*y*z - 4298905/263538*x*y^2*z + 
        354373556596393/79014729894529*x^2*z^2 + 35351672803/3226715349*x*y*z^2 
        + 4668049/527076*y^2*z^2 - 192584677008696/79014729894529*x*z^3 - 
        2095328428/1075571783*y*z^3 + 37844790883344/79014729894529*z^4,
    x^4 - 587/222*x^3*y + 344569/197136*x^2*y^2 + 7286123/6151102*x^3*z - 
        20824873141/2731089288*x^2*y*z + 154995/21904*x*y^2*z - 
        153693134106387/151344223257616*x^2*z^2 - 971495661/113795387*x*y*z^2 + 
        1980971/262848*y^2*z^2 - 122468281130767/151344223257616*x*z^3 - 
        36522671713/10924357152*y*z^3 + 282523285448041/605376893030464*z^4,
    x^4 - 1123/644*x^3*y + 1261129/1658944*x^2*y^2 - 10456539/6406052*x^3*z + 
        45346028891/8250994976*x^2*y*z - 8459461/1658944*x*y^2*z + 
        70255256813425/164150008906816*x^2*z^2 - 42412316221/8250994976*x*y*z^2 
        + 32447185/6635776*y^2*z^2 + 31898184589911/164150008906816*x*z^3 + 
        44965229819/33003979904*y*z^3 + 9305849201401/656600035627264*z^4,
    x^4 - 526/195*x^3*y + 69169/38025*x^2*y^2 - 260945/84879*x^3*z + 
        123153431/16551405*x^2*y*z - 503216/114075*x*y^2*z + 
        88014639217/28817778564*x^2*z^2 - 278980408/49654215*x*y*z^2 + 
        673456/342225*y^2*z^2 - 22967857010/21613333923*x*z^3 + 
        198141986/148962645*y*z^3 + 7747168324/64840001769*z^4,
    x^4 - 77/29*x^3*y + 5929/3364*x^2*y^2 + 7205/4611*x^3*z - 
        1726855/401157*x^2*y*z + 18437/10092*x*y^2*z - 
        790613269/255135852*x^2*z^2 + 7020073/4813884*x*y*z^2 - 
        167759/121104*y^2*z^2 - 554525620/191351889*x*z^3 + 
        7664228/3610413*y*z^3 + 5923457296/1722167001*z^4,
    x^4 - 8*x^3*y + 16*x^2*y^2 - 3361/1064*x^3*z + 6767/266*x^2*y*z - 52*x*y^2*z
        - 1107791/4528384*x^2*z^2 - 18931/4256*x*y*z^2 + 601/16*y^2*z^2 + 
        19591269/4528384*x*z^3 - 34053/1216*y*z^3 + 33977241/18113536*z^4,
    x^4 - 61966/47957*x^3*y + 959946289/2299873849*x^2*y^2 + 
        1020673562/1059112427*x^3*z - 86002737114692/50791854661639*x^2*y*z + 
        1956359614/2299873849*x*y^2*z - 1966884076538624291/1121719133025830329\
        *x^2*z^2 - 97189422015362/50791854661639*x*y*z^2 + 
        4910331841/2299873849*y^2*z^2 - 1073245127741460756/1121719133025830329\
        *x*z^3 - 65719890668004/50791854661639*y*z^3 + 
        1105666420059400644/1121719133025830329*z^4,
    x^4 + 1234/175*x^3*y + 380689/30625*x^2*y^2 - 29776/4063*x^3*z + 
        5816072/711025*x^2*y*z - 422068/30625*x*y^2*z + 
        279022104/16507969*x^2*z^2 - 452432/28441*x*y*z^2 + 117604/30625*y^2*z^2
        - 210218560/16507969*x*z^3 + 516848/101575*y*z^3 + 
        49843600/16507969*z^4,
    x^4 - 6547/1991*x^3*y + 42863209/15856324*x^2*y^2 + 21754051/15318211*x^3*z 
        - 1040197684/30498558101*x^2*y*z + 13774291/15856324*x*y^2*z + 
        765163335220717/938590352962084*x^2*z^2 + 
        345695542091/121994232404*x*y*z^2 + 58420609/63425296*y^2*z^2 + 
        103643673587289/469295176481042*x*z^3 + 89977989987/121994232404*y*z^3 +
        22698926106921/938590352962084*z^4,
    x^4 - 352/441*x^3*y + 30976/194481*x^2*y^2 - 11052/3787*x^3*z - 
        3429502/1670067*x^2*y*z + 316402/194481*x*y^2*z + 
        70860652/14341369*x^2*z^2 + 3342236/1670067*x*y*z^2 + 
        74236/194481*y^2*z^2 - 58840848/14341369*x*z^3 + 296832/185563*y*z^3 + 
        28344976/14341369*z^4,
    x^4 - 2282/925*x^3*y + 1301881/855625*x^2*y^2 + 219866/37407*x^3*z - 
        349336904/34601475*x^2*y*z + 2224754/855625*x*y^2*z + 
        5758843021/1399283649*x^2*z^2 - 318002678/34601475*x*y*z^2 + 
        5297209/855625*y^2*z^2 - 18592308692/1399283649*x*z^3 + 
        630611068/34601475*y*z^3 + 7150731844/1399283649*z^4,
    x^4 - 458/205*x^3*y + 52441/42025*x^2*y^2 - 199358/348295*x^3*z + 
        68867972/71400475*x^2*y*z - 22698/42025*x*y^2*z - 
        163560981899/121309407025*x^2*z^2 + 129002034/71400475*x*y*z^2 - 
        40599/42025*y^2*z^2 + 49653299628/121309407025*x*z^3 - 
        2712636/71400475*y*z^3 + 62033872356/121309407025*z^4,
    x^4 + 10/21*x^3*y + 25/441*x^2*y^2 + 2895/5453*x^3*z + 401122/114513*x^2*y*z
        - 257/441*x*y^2*z + 54055353/118940836*x^2*z^2 - 145795/229026*x*y*z^2 +
        337/1764*y^2*z^2 + 3031065/29735209*x*z^3 - 5769/38171*y*z^3 + 
        1096209/29735209*z^4,
    x^4 - 586/1645*x^3*y + 85849/2706025*x^2*y^2 + 1063474/104481*x^3*z + 
        20905940/34374249*x^2*y*z + 634154/2706025*x*y^2*z + 
        150983665993/10916279361*x^2*z^2 + 2476588942/171871245*x*y*z^2 + 
        1633321/2706025*y^2*z^2 - 670571403752/10916279361*x*z^3 - 
        1382296856/171871245*y*z^3 + 397590780304/10916279361*z^4,
    x^4 + 66/7*x^3*y + 1089/49*x^2*y^2 - 65/294*x^3*z - 304777/11662*x^2*y*z - 
        1959/49*x*y^2*z - 5487715/5877648*x^2*z^2 + 852289/34986*x*y*z^2 + 
        3439/196*y^2*z^2 + 614575/5877648*x*z^3 - 264185/34986*y*z^3 + 
        89397025/399680064*z^4,
    x^4 - 3734/195*x^3*y + 3485689/38025*x^2*y^2 - 28531700/5387577*x^3*z + 
        53151824242/1050577515*x^2*y*z - 6309506/38025*x*y^2*z + 
        293059637189398/29025985930929*x^2*z^2 - 43419178502/1050577515*x*y*z^2 
        + 2889481/38025*y^2*z^2 - 237108042182900/29025985930929*x*z^3 + 
        2151207506/210115503*y*z^3 + 69061701053569/29025985930929*z^4,
    x^4 - 783/190*x^3*y + 613089/144400*x^2*y^2 - 6870943/1992283*x^3*z + 
        6674663609/757067540*x^2*y*z - 303849/36100*x*y^2*z + 
        70163683312393/15876766208356*x^2*z^2 - 7853994/1645799*x*y*z^2 + 
        175509/36100*y^2*z^2 - 9895332851253/3969191552089*x*z^3 + 
        325161/4026955*y*z^3 + 2074092509241/3969191552089*z^4,
    x^4 - 227/176*x^3*y + 51529/123904*x^2*y^2 - 10035/4702*x^3*z + 
        3116239/1655104*x^2*y*z + 15839/30976*x*y^2*z + 
        62295289/88435216*x^2*z^2 + 190501/413776*x*y*z^2 + 32569/30976*y^2*z^2 
        + 10245735/22108804*x*z^3 + 293903/413776*y*z^3 + 1042441/22108804*z^4,
    x^4 - 174/143*x^3*y + 7569/20449*x^2*y^2 + 308096/248625*x^3*z - 
        2549242/1077375*x^2*y*z + 26678/20449*x*y^2*z - 
        97023889946/61814390625*x^2*z^2 - 285153226/106660125*x*y*z^2 + 
        423985/184041*y^2*z^2 - 880230272/727228125*x*z^3 - 
        40932286/21332025*y*z^3 + 8162449/8555625*z^4,
    x^4 - 839/55*x^3*y + 703921/12100*x^2*y^2 - 66260/4909*x^3*z + 
        1151063/24545*x^2*y*z - 1624849/6050*x*y^2*z + 
        1626796918/24098281*x^2*z^2 + 8355799/269995*x*y*z^2 + 
        3757681/12100*y^2*z^2 - 3571480260/24098281*x*z^3 - 7279749/53999*y*z^3 
        + 2905317801/24098281*z^4,
    x^4 - 14/33*x^3*y + 49/1089*x^2*y^2 + 19729/4741*x^3*z - 
        1140218/156453*x^2*y*z + 305/121*x*y^2*z + 378537745/89908324*x^2*z^2 - 
        1074233/104302*x*y*z^2 + 6059/1452*y^2*z^2 - 5563578/22477081*x*z^3 + 
        200359/156453*y*z^3 + 79524/22477081*z^4,
    x^4 - 409/230*x^3*y + 167281/211600*x^2*y^2 - 12968/1449*x^3*z + 
        1148587/333270*x^2*y*z - 336411/105800*x*y^2*z + 
        46936978/2099601*x^2*z^2 + 177239/22218*x*y*z^2 + 782441/211600*y^2*z^2 
        - 7300984/699867*x*z^3 - 1785211/333270*y*z^3 + 316969/233289*z^4,
    x^4 - 1283/918*x^3*y + 1646089/3370896*x^2*y^2 - 381788767/35461269*x^3*z + 
        586580618963/32553444942*x^2*y*z - 24673999/3370896*x*y^2*z + 
        186387057479891593/5030006396361444*x^2*z^2 - 
        5777359737815/130213779768*x*y*z^2 + 176784409/13483584*y^2*z^2 - 
        54672104474381659/1257501599090361*x*z^3 + 
        1776838878769/65106889884*y*z^3 + 20506204772815129/1257501599090361*z^\
        4,
    x^4 - 302/171*x^3*y + 22801/29241*x^2*y^2 + 126231/110086*x^3*z + 
        28458493/6274902*x^2*y*z - 76756/29241*x*y^2*z - 
        855361197119/48475709584*x^2*z^2 - 22398628/3137451*x*y*z^2 + 
        40474/29241*y^2*z^2 - 124884746385/12118927396*x*z^3 + 
        416770435/18824706*y*z^3 + 978783742225/12118927396*z^4,
    x^4 - 34/11*x^3*y + 289/121*x^2*y^2 + 184/83*x^3*z - 7950/913*x^2*y*z + 
        618/121*x*y^2*z - 57770/6889*x^2*z^2 - 1470/913*x*y*z^2 + 
        873/121*y^2*z^2 - 73416/6889*x*z^3 + 22266/913*y*z^3 + 159201/6889*z^4,
    x^4 - 7186/2097*x^3*y + 12909649/4397409*x^2*y^2 + 673777610/258770033*x^3*z
        - 18175289235340/542640759201*x^2*y*z + 147638594/4397409*x*y^2*z + 
        111606345754073817/66961929978821089*x^2*z^2 - 
        36878299756538/542640759201*x*y*z^2 + 176333281/4397409*y^2*z^2 - 
        2457595747143680/66961929978821089*x*z^3 - 
        7099198855328/180880253067*y*z^3 + 13304168710144/66961929978821089*z^4\
        ,
    x^4 - 246/277*x^3*y + 15129/76729*x^2*y^2 + 28447384/13956645*x^3*z - 
        1802671784/1288663555*x^2*y*z + 25524/76729*x*y^2*z - 
        408434870007266/194787939656025*x^2*z^2 - 
        19680265234/19329953325*x*y*z^2 + 2633491/1918225*y^2*z^2 - 
        69159374006072/21643104406225*x*z^3 - 9305351712/6443317775*y*z^3 + 
        53193668973201/21643104406225*z^4,
    x^4 - 83/9*x^3*y + 6889/324*x^2*y^2 - 3595/551*x^3*z + 216839/9918*x^2*y*z -
        13231/162*x*y^2*z + 20071597/1214404*x^2*z^2 + 135817/4959*x*y*z^2 + 
        25549/324*y^2*z^2 - 11658585/607202*x*z^3 - 1201/18*y*z^3 + 
        10517049/1214404*z^4,
    x^4 - 94/5*x^3*y + 2209/25*x^2*y^2 + 3248/383*x^3*z - 27838/1915*x^2*y*z + 
        6138/25*x*y^2*z + 4078222/146689*x^2*z^2 + 27930/383*x*y*z^2 + 
        4329/25*y^2*z^2 + 6109488/146689*x*z^3 + 157086/1915*y*z^3 + 
        3538161/146689*z^4,
    x^4 - 326/133*x^3*y + 26569/17689*x^2*y^2 - 359449/166877*x^3*z + 
        147038434/22194641*x^2*y*z - 75123/17689*x*y^2*z + 
        164149629925/111391732516*x^2*z^2 - 28563939/6341326*x*y*z^2 + 
        157761/70756*y^2*z^2 - 18818233497/55695866258*x*z^3 + 
        32189607/44389282*y*z^3 + 2740836609/111391732516*z^4,
    x^4 + 71/22*x^3*y + 5041/1936*x^2*y^2 - 37/20*x^3*z - 247/880*x^2*y*z - 
        4057/3872*x*y^2*z + 2229/1600*x^2*z^2 - 119/80*x*y*z^2 + 
        36677/154880*y^2*z^2 - 1591/3200*x*z^3 + 26233/70400*y*z^3 + 
        1849/25600*z^4,
    x^4 - 667/231*x^3*y + 444889/213444*x^2*y^2 - 95896/129921*x^3*z - 
        39206065/60023502*x^2*y*z + 63556/53361*x*y^2*z - 
        11735835242/16879466241*x^2*z^2 - 3410174/30011751*x*y*z^2 - 
        7985/213444*y^2*z^2 + 5179630648/16879466241*x*z^3 - 
        26562157/60023502*y*z^3 + 2917404169/16879466241*z^4,
    x^4 - 583/288*x^3*y + 339889/331776*x^2*y^2 + 719948/19983*x^3*z - 
        171293453/5755104*x^2*y*z - 645581/165888*x*y^2*z + 
        153946272814/399320289*x^2*z^2 + 310891013/5755104*x*y*z^2 + 
        244729/331776*y^2*z^2 + 438911258564/399320289*x*z^3 - 
        214398671/5755104*y*z^3 + 371664587449/399320289*z^4,
    x^4 - 1285/32*x^3*y + 1651225/4096*x^2*y^2 - 5545/3048*x^3*z - 
        264194011/1365504*x^2*y*z + 1317299/1536*x*y^2*z - 
        885318281/260128512*x^2*z^2 - 143529065/512064*x*y*z^2 + 
        1051537/2304*y^2*z^2 + 125134015/32516064*x*z^3 - 32658113/256032*y*z^3 
        + 509269489/113806224*z^4,
    x^4 - 2761/1288*x^3*y + 7623121/6635776*x^2*y^2 + 30345697/8963031*x^3*z - 
        3752160367/2098978896*x^2*y*z - 18117055/9953664*x*y^2*z + 
        285585387389773/321343698827844*x^2*z^2 + 
        201738722065/17316575892*x*y*z^2 - 276937295/59721984*y^2*z^2 - 
        48882335666753/14606531764902*x*z^3 + 89099643487/6296936688*y*z^3 + 
        2594834500801/2655733048164*z^4,
    x^4 + 22/7*x^3*y + 121/49*x^2*y^2 + 235/147*x^3*z + 2756/1029*x^2*y*z + 
        83/49*x*y^2*z + 54637/86436*x^2*z^2 - 1475/2058*x*y*z^2 + 
        193/196*y^2*z^2 - 235/43218*x*z^3 - 1409/2058*y*z^3 + 1/86436*z^4,
    x^4 - 82/9*x^3*y + 1681/81*x^2*y^2 - 48118/37665*x^3*z + 
        6645076/338985*x^2*y*z - 3442/135*x*y^2*z + 293184121/1418652225*x^2*z^2
        - 7765798/564975*x*y*z^2 + 1681/225*y^2*z^2 + 60821152/472884075*x*z^3 +
        589712/188325*y*z^3 + 1597696/157628025*z^4,
    x^4 - 115/122*x^3*y + 13225/59536*x^2*y^2 - 744062/1477603*x^3*z - 
        408361961/270401349*x^2*y*z + 9956/11163*x*y^2*z + 
        9550909576909/2183310625609*x^2*z^2 - 2825981915/270401349*x*y*z^2 + 
        54766/11163*y^2*z^2 - 2369880625596/2183310625609*x*z^3 + 
        1566392566/270401349*y*z^3 + 10144594463364/2183310625609*z^4,
    x^4 + 3742/1209*x^3*y + 3500641/1461681*x^2*y^2 + 77290100/44522169*x^3*z - 
        2270474858302/53827302321*x^2*y*z + 17382362/1461681*x*y^2*z - 
        3756241984600322/1982223532464561*x^2*z^2 + 
        3081198637918/53827302321*x*y*z^2 - 14302679/1461681*y^2*z^2 - 
        4556701146091900/1982223532464561*x*z^3 - 
        1095921209182/53827302321*y*z^3 + 3475788593960761/1982223532464561*z^4\
        ,
    x^4 + 1434/1285*x^3*y + 514089/1651225*x^2*y^2 - 118093518/25188313*x^3*z + 
        6741422508/32366982205*x^2*y*z + 2066722/1651225*x*y^2*z + 
        2295943052560317/634451111785969*x^2*z^2 + 
        164812197978/32366982205*x*y*z^2 + 5854489/1651225*y^2*z^2 + 
        2790964810962252/634451111785969*x*z^3 - 10443896028/32366982205*y*z^3 +
        558542983988196/634451111785969*z^4,
    x^4 - 242/57*x^3*y + 14641/3249*x^2*y^2 - 156770/294747*x^3*z - 
        333160352/16800579*x^2*y*z + 210578/9747*x*y^2*z - 
        66982522475/86875794009*x^2*z^2 - 980682826/50401737*x*y*z^2 + 
        315169/29241*y^2*z^2 + 6482439500/28958598003*x*z^3 - 
        30177380/5600193*y*z^3 + 1709822500/9652866001*z^4,
    x^4 - 643/56*x^3*y + 413449/12544*x^2*y^2 - 982127/370314*x^3*z + 
        2052520427/41475168*x^2*y*z - 1022815/9408*x*y^2*z - 
        372063582575/548529834384*x^2*z^2 - 1927321169/31106376*x*y*z^2 + 
        2548345/28224*y^2*z^2 + 1329358982977/411397375788*x*z^3 + 
        1610915339/93319128*y*z^3 + 1832100309601/1234192127364*z^4,
    x^4 + 57/43*x^3*y + 3249/7396*x^2*y^2 - 1371154/1561201*x^3*z - 
        1541520153/67131643*x^2*y*z + 64853/5547*x*y^2*z - 
        387277114995/2437348562401*x^2*z^2 + 6235557008/201394929*x*y*z^2 - 
        130679/16641*y^2*z^2 + 376466784548/2437348562401*x*z^3 - 
        2178849164/201394929*y*z^3 + 75384291844/2437348562401*z^4,
    x^4 + 2006/1629*x^3*y + 1006009/2653641*x^2*y^2 + 265655508/15131419*x^3*z -
        264433161790/8216360517*x^2*y*z + 20130602/2653641*x*y^2*z + 
        19189651092559558/228959840953561*x^2*z^2 - 
        510326456074/8216360517*x*y*z^2 + 25307809/2653641*y^2*z^2 + 
        13575065263576572/228959840953561*x*z^3 - 432039060826/24649081551*y*z^3
        + 2611236469867081/228959840953561*z^4,
    x^4 - 541/438*x^3*y + 292681/767376*x^2*y^2 + 293525/483333*x^3*z + 
        3044686075/846799416*x^2*y*z - 6328105/4604256*x*y^2*z + 
        2274037618451/1868886311112*x^2*z^2 - 14807198981/10161592992*x*y*z^2 + 
        82653961/110502144*y^2*z^2 + 1276363229425/3737772622224*x*z^3 - 
        30773451145/40646371968*y*z^3 + 18908556469609/59804361955584*z^4,
    x^4 - 74/33*x^3*y + 1369/1089*x^2*y^2 - 117242/16489*x^3*z + 
        2385136/544137*x^2*y*z + 958/363*x*y^2*z + 4426948849/271887121*x^2*z^2 
        - 354366/181379*x*y*z^2 - 205/363*y^2*z^2 - 3521480712/271887121*x*z^3 +
        587080/544137*y*z^3 + 902161296/271887121*z^4,
    x^4 - 1102/131*x^3*y + 303601/17161*x^2*y^2 - 4702234/1353099*x^3*z + 
        5983191593/177255969*x^2*y*z - 1417319/17161*x*y^2*z - 
        21135078779659/3661753807602*x^2*z^2 + 470839339/32228358*x*y*z^2 + 
        1764961/68644*y^2*z^2 + 55933691773771/3661753807602*x*z^3 - 
        7340912593/709023876*y*z^3 + 565976613609169/29294030460816*z^4,
    x^4 + 2804/875*x^3*y + 1965604/765625*x^2*y^2 + 102271/3611375*x^3*z + 
        5541012308/3159953125*x^2*y*z + 2266148/765625*x*y^2*z - 
        60044164484559/52168117562500*x^2*z^2 - 760879697/451421875*x*y*z^2 + 
        2910769/765625*y^2*z^2 - 212586841402/13042029390625*x*z^3 - 
        6775348612/3159953125*y*z^3 + 4320835710244/13042029390625*z^4,
    x^4 - 317/21*x^3*y + 100489/1764*x^2*y^2 + 242289/295190*x^3*z - 
        202899871/4132660*x^2*y*z + 262883/1764*x*y^2*z - 
        587527759619/348548544400*x^2*z^2 - 115667939/2066330*x*y*z^2 + 
        685441/7056*y^2*z^2 - 265210266267/348548544400*x*z^3 - 
        1118733617/49591920*y*z^3 + 1198155727609/1394194177600*z^4,
    x^4 - 1016/583*x^3*y + 258064/339889*x^2*y^2 + 965408/515213*x^3*z - 
        1360307031/300369179*x^2*y*z + 871916/339889*x*y^2*z - 
        293118453233/265444435369*x^2*z^2 - 1832883139/300369179*x*y*z^2 + 
        2097676/339889*y^2*z^2 - 492924291792/265444435369*x*z^3 - 
        11617968/27306289*y*z^3 + 1042794295929/1061777741476*z^4,
    x^4 + 211/57*x^3*y + 44521/12996*x^2*y^2 - 518075/202958*x^3*z - 
        45601817/3856202*x^2*y*z - 323233/25992*x*y^2*z + 
        414137727105/164767799056*x^2*z^2 + 322283551/30849616*x*y*z^2 + 
        1643929/207936*y^2*z^2 - 13286033375/11769128504*x*z^3 - 
        246216955/92548848*y*z^3 + 657666025/3362608144*z^4,
    x^4 - 2452/693*x^3*y + 1503076/480249*x^2*y^2 - 672097/467172*x^3*z - 
        248611799/80937549*x^2*y*z + 1996439/480249*x*y^2*z - 
        702884402399/872998710336*x^2*z^2 - 743257411/185000112*x*y*z^2 + 
        14093017/7683984*y^2*z^2 + 207632942501/218249677584*x*z^3 - 
        57425143/34078968*y*z^3 + 95439598489/218249677584*z^4,
    x^4 - 64/29*x^3*y + 1024/841*x^2*y^2 - 14825/5162*x^3*z + 
        1610064/374245*x^2*y*z + 5504/4205*x*y^2*z + 239040047/106584976*x^2*z^2
        - 5302249/1496980*x*y*z^2 + 6357/4205*y^2*z^2 - 55312075/213169952*x*z^3
        + 658803/2993960*y*z^3 + 13920361/1705359616*z^4,
    x^4 - 61/44*x^3*y + 3721/7744*x^2*y^2 - 9022/4185*x^3*z + 
        528863/184140*x^2*y*z - 4671/1936*x*y^2*z + 19394941/17514225*x^2*z^2 - 
        6806/15345*x*y*z^2 + 45313/17424*y^2*z^2 + 342836/5838075*x*z^3 - 
        1441/1215*y*z^3 + 1444/1946025*z^4,
    x^4 - 1538/637*x^3*y + 591361/405769*x^2*y^2 - 2392248/565285*x^3*z + 
        57067688/5539793*x^2*y*z - 2585644/405769*x*y^2*z + 
        2372708069656/319547131225*x^2*z^2 - 4825158944/360086545*x*y*z^2 + 
        2704612/405769*y^2*z^2 - 1993230602592/319547131225*x*z^3 + 
        1629625744/360086545*y*z^3 + 694228905616/319547131225*z^4,
    x^4 + 518/1375*x^3*y + 67081/1890625*x^2*y^2 - 212191/83369*x^3*z - 
        1369293248/343897125*x^2*y*z - 4541051/5671875*x*y^2*z - 
        38509717091/27801560644*x^2*z^2 + 8482044161/687794250*x*y*z^2 + 
        54121307/22687500*y^2*z^2 + 4088708379/1069290794*x*z^3 - 
        5203004017/687794250*y*z^3 + 371294361/164506276*z^4,
    x^4 + 326/125*x^3*y + 26569/15625*x^2*y^2 - 18654/12575*x^3*z + 
        42271102/1571875*x^2*y*z + 150584/15625*x*y^2*z - 
        2298132471/158130625*x^2*z^2 + 88547072/1571875*x*y*z^2 + 
        224656/15625*y^2*z^2 + 1769070744/158130625*x*z^3 + 
        20607648/1571875*y*z^3 + 8993866896/158130625*z^4,
    x^4 - 4966/565*x^3*y + 6165289/319225*x^2*y^2 - 35768360/147336293*x^3*z + 
        200729414356/19210385895*x^2*y*z + 3636724/957675*x*y^2*z - 
        27581170387275228/21707983234981849*x^2*z^2 + 
        6879433584808/249735016635*x*y*z^2 - 7046068/957675*y^2*z^2 + 
        260516918568560/1669844864229373*x*z^3 + 213871479832/19210385895*y*z^3 
        + 53048585634916/128449604940721*z^4,
    x^4 - 20612/1167*x^3*y + 106213636/1361889*x^2*y^2 - 
        359175339/27340865*x^3*z - 2249617518956/10635596485*x^2*y*z - 
        249008804/1361889*x*y^2*z + 168841195329609181/2990091595792900*x^2*z^2 
        + 742084548411/2127119297*x*y*z^2 + 165787729/1361889*y^2*z^2 - 
        130825120714681059/1495045797896450*x*z^3 - 
        3093682552817/31906789455*y*z^3 + 132668942565225361/2990091595792900*z\
        ^4,
    x^4 + 173/24*x^3*y + 29929/2304*x^2*y^2 - 697786/116161*x^3*z - 
        16343903/464644*x^2*y*z - 6183/128*x*y^2*z + 
        178931900797/13493377921*x^2*z^2 + 50840583/929288*x*y*z^2 + 
        185121/4352*y^2*z^2 - 171818637924/13493377921*x*z^3 - 
        109423035/3949474*y*z^3 + 60631182756/13493377921*z^4,
    x^4 + 738/385*x^3*y + 136161/148225*x^2*y^2 + 20200/3003*x^3*z + 
        805150/77077*x^2*y*z + 546918/148225*x*y^2*z + 58028062/9018009*x^2*z^2 
        + 21983758/1156155*x*y*z^2 + 1549321/148225*y^2*z^2 - 
        49308200/3006003*x*z^3 - 6233674/385385*y*z^3 + 5958481/1002001*z^4,
    x^4 + 26391/12364*x^3*y + 696484881/611473984*x^2*y^2 + 
        306950092/235068021*x^3*z - 857401248151/161465611758*x^2*y*z - 
        511391145/152868496*x*y^2*z - 83755661853725756/55256974496856441*x^2*z\
        ^2 + 5093862608377/726595252911*x*y*z^2 + 304414465/152868496*y^2*z^2 - 
        70062468430532672/55256974496856441*x*z^3 - 
        2223574886458/726595252911*y*z^3 + 52099713217075456/55256974496856441*\
        z^4,
    x^4 - 4559/2254*x^3*y + 20784481/20322064*x^2*y^2 - 55749216/66346651*x^3*z 
        + 357658058563/74772675677*x^2*y*z - 34280177/10161032*x*y^2*z - 
        2194703910062306/4401878098915801*x^2*z^2 - 
        634164699421/149545351354*x*y*z^2 + 53499889/20322064*y^2*z^2 + 
        1248516793385760/4401878098915801*x*z^3 + 92021596286/74772675677*y*z^3 
        + 501546550705225/4401878098915801*z^4,
    x^4 - 454/295*x^3*y + 51529/87025*x^2*y^2 - 25587535/13853967*x^3*z - 
        17457856784/4086920265*x^2*y*z + 1240033/261075*x*y^2*z + 
        1458724952393737/767729606548356*x^2*z^2 + 
        46301427151/4904304318*x*y*z^2 - 4308359/3132900*y^2*z^2 - 
        61872936920615/63977467212363*x*z^3 - 3990487791/1362306755*y*z^3 + 
        5847154411921/21325822404121*z^4,
    x^4 - 787/370*x^3*y + 619369/547600*x^2*y^2 + 65227/11877*x^3*z + 
        30958711/8788980*x^2*y*z - 7206167/821400*x*y^2*z + 
        6113026981/564252516*x^2*z^2 + 239212439/6591735*x*y*z^2 - 
        69588119/4928400*y^2*z^2 + 2551615013/282126258*x*z^3 + 
        204505621/5273388*y*z^3 + 1530296161/564252516*z^4,
    x^4 + 8486/447*x^3*y + 18003049/199809*x^2*y^2 + 36598173/36969433*x^3*z + 
        396299431640/16525336551*x^2*y*z + 26005211/199809*x*y^2*z - 
        1920161394663203/5466955905365956*x^2*z^2 + 
        66660029783/33050673102*x*y*z^2 + 40387369/799236*y^2*z^2 - 
        806713435042023/2733477952682978*x*z^3 - 145701466543/33050673102*y*z^3 
        + 485869646087401/5466955905365956*z^4,
    x^4 - 418/35*x^3*y + 43681/1225*x^2*y^2 - 52496/10895*x^3*z + 
        349098/54475*x^2*y*z - 56498/1225*x*y^2*z + 959088134/118701025*x^2*z^2 
        + 2610362/381325*x*y*z^2 + 18321/1225*y^2*z^2 - 
        650792912/118701025*x*z^3 - 1472634/381325*y*z^3 + 
        153685609/118701025*z^4,
    x^4 + 34/385*x^3*y + 289/148225*x^2*y^2 + 134641/21109*x^3*z + 
        26545062/8126965*x^2*y*z - 52543/148225*x*y^2*z + 
        21099163977/1782359524*x^2*z^2 + 198543/2321990*x*y*z^2 + 
        480841/592900*y^2*z^2 + 2368739113/445589881*x*z^3 - 
        25237431/8126965*y*z^3 + 309513649/445589881*z^4,
    x^4 - 3401/1057*x^3*y + 11566801/4468996*x^2*y^2 - 47239411/5649514*x^3*z + 
        22315877659/11943072596*x^2*y*z - 15474491/2234498*x*y^2*z + 
        2697168478379457/127668033744784*x^2*z^2 + 
        51322681771/5971536298*x*y*z^2 + 19624201/4468996*y^2*z^2 - 
        973312840783541/63834016872392*x*z^3 - 62597382581/11943072596*y*z^3 + 
        424517851876561/127668033744784*z^4,
    x^4 - 356/195*x^3*y + 31684/38025*x^2*y^2 - 173687/17459*x^3*z + 
        42072188/3404505*x^2*y*z - 13324/4225*x*y^2*z + 
        35956368861/1219266724*x^2*z^2 - 37540423/1134835*x*y*z^2 + 
        188707/12675*y^2*z^2 - 14398131239/609633362*x*z^3 + 
        212091293/3404505*y*z^3 + 6871912609/1219266724*z^4,
    x^4 - 8/9*x^3*y + 16/81*x^2*y^2 - 19951/2968*x^3*z + 17267/1113*x^2*y*z - 
        962/81*x*y^2*z + 770110881/35236096*x^2*z^2 - 942139/11872*x*y*z^2 + 
        66121/1296*y^2*z^2 - 156316085/4404512*x*z^3 + 326705/3816*y*z^3 + 
        61387225/2202256*z^4,
    x^4 - 857/624*x^3*y + 734449/1557504*x^2*y^2 + 6483092/2635399*x^3*z - 
        2410241707/548162992*x^2*y*z + 1535033/778752*x*y^2*z - 
        1128430380594/6945327889201*x^2*z^2 - 3977747303/548162992*x*y*z^2 + 
        8326081/1557504*y^2*z^2 - 14312365638340/6945327889201*x*z^3 - 
        31962535/44445648*y*z^3 + 4873696446025/6945327889201*z^4,
    x^4 + 178/65*x^3*y + 7921/4225*x^2*y^2 - 67605/8294*x^3*z - 
        50544822/2965105*x^2*y*z - 99237/8450*x*y^2*z + 
        6083594893/275161744*x^2*z^2 + 129564757/4744168*x*y*z^2 + 
        1315889/67600*y^2*z^2 - 67836276705/3026779184*x*z^3 - 
        119659149/47441680*y*z^3 + 1006853703241/133178284096*z^4,
    x^4 - 39/2*x^3*y + 1521/16*x^2*y^2 - 14287/4455*x^3*z + 47161/990*x^2*y*z - 
        2409/16*x*y^2*z + 303767809/79388100*x^2*z^2 - 1378961/35640*x*y*z^2 + 
        19109/320*y^2*z^2 - 13315484/6615675*x*z^3 + 77512/7425*y*z^3 + 
        868624/2205225*z^4,
    x^4 - 301/27*x^3*y + 90601/2916*x^2*y^2 - 36340/4291*x^3*z - 
        32104/1839*x^2*y*z - 22694/729*x*y^2*z + 395269116/18412681*x^2*z^2 + 
        961168/38619*x*y*z^2 + 5716/729*y^2*z^2 - 39392560/2630383*x*z^3 - 
        111392/16551*y*z^3 + 1175056/375769*z^4,
    x^4 + 324/13*x^3*y + 26244/169*x^2*y^2 - 8769/2659*x^3*z + 
        526132/103701*x^2*y*z - 91412/507*x*y^2*z + 1006915757/254530116*x^2*z^2
        - 8846429/311103*x*y*z^2 + 8849/169*y^2*z^2 - 86529569/42421686*x*z^3 + 
        3083941/311103*y*z^3 + 876337609/2290771044*z^4,
    x^4 + 121/27*x^3*y + 14641/2916*x^2*y^2 + 18460/55641*x^3*z + 
        5726101/1502307*x^2*y*z - 6299/1458*x*y^2*z + 
        95096998/3095920881*x^2*z^2 - 810229/1502307*x*y*z^2 + 3145/2916*y^2*z^2
        + 1642940/3095920881*x*z^3 - 265649/1502307*y*z^3 + 7921/3095920881*z^4,
    x^4 - 548/295*x^3*y + 75076/87025*x^2*y^2 + 96499/8319*x^3*z + 
        3007276/490821*x^2*y*z - 309444/87025*x*y^2*z + 
        6245839981/276823044*x^2*z^2 - 74388041/2454105*x*y*z^2 + 
        367009/87025*y^2*z^2 - 2963966785/46137174*x*z^3 + 18897011/818035*y*z^3
        + 943411225/30758116*z^4,
    x^4 - 34/15*x^3*y + 289/225*x^2*y^2 - 40/7*x^3*z + 566/105*x^2*y*z - 
        42/25*x*y^2*z - 1266/49*x^2*z^2 + 34/5*x*y*z^2 - 637/75*y^2*z^2 + 
        680/7*x*z^3 - 406/15*y*z^3 + 289*z^4,
    x^4 - 277/147*x^3*y + 76729/86436*x^2*y^2 - 1918363/77301*x^3*z + 
        240512155/11363247*x^2*y*z + 162145/86436*x*y^2*z + 
        4027501109689/23901778404*x^2*z^2 + 1149232975/45452988*x*y*z^2 - 
        3142775/345744*y^2*z^2 - 1077621231620/5975444601*x*z^3 - 
        1460682200/11363247*y*z^3 + 315551827600/5975444601*z^4,
    x^4 - 16/11*x^3*y + 64/121*x^2*y^2 - 851771/97064*x^3*z - 
        184753/133463*x^2*y*z + 2912/363*x*y^2*z + 
        972050184345/37685680384*x^2*z^2 + 265922003/6406224*x*y*z^2 - 
        87119/4356*y^2*z^2 - 67607619583/2355355024*x*z^3 - 
        53720593/800778*y*z^3 + 6300073129/588838756*z^4,
    x^4 - 13*x^3*y + 169/4*x^2*y^2 + 3443/353*x^3*z - 87657/706*x^2*y*z + 
        362*x*y^2*z + 16457369/498436*x^2*z^2 - 141348/353*x*y*z^2 + 836*y^2*z^2
        + 5612090/124609*x*z^3 - 151560/353*y*z^3 + 2656900/124609*z^4,
    x^4 - 5539/1107*x^3*y + 30680521/4901796*x^2*y^2 + 3636768/1908017*x^3*z - 
        28227586097/2112174819*x^2*y*z + 54190727/2450898*x*y^2*z - 
        5960943343550/3640528872289*x^2*z^2 - 16737512909/2112174819*x*y*z^2 + 
        173829289/4901796*y^2*z^2 - 8832105657312/3640528872289*x*z^3 + 
        7778514751/704058273*y*z^3 + 5897898816481/3640528872289*z^4,
    x^4 - 7334/1677*x^3*y + 13446889/2812329*x^2*y^2 + 737229/69875*x^3*z - 
        2382463318/117180375*x^2*y*z + 33547975/2812329*x*y^2*z + 
        561749563441/19530062500*x^2*z^2 + 2661221363/46872150*x*y*z^2 - 
        109068599/11249316*y^2*z^2 + 4811893683/976503125*x*z^3 + 
        9107467184/39060125*y*z^3 + 42601729/195300625*z^4,
    x^4 - 115/29*x^3*y + 13225/3364*x^2*y^2 + 889948/156165*x^3*z - 
        259028489/9057570*x^2*y*z + 312407/10092*x*y^2*z + 
        242010508007/48775014450*x^2*z^2 - 3123432407/54345420*x*y*z^2 + 
        7433641/121104*y^2*z^2 - 219392873291/24387507225*x*z^3 - 
        2090793833/108690840*y*z^3 + 972379404649/390200115600*z^4,
    x^4 - 2042/2121*x^3*y + 1042441/4498641*x^2*y^2 + 38822711/22654199*x^3*z + 
        63841576118/48049556079*x^2*y*z - 1372687/1499547*x*y^2*z + 
        5054913793929925/2052850929326404*x^2*z^2 - 
        370733392951/32033037386*x*y*z^2 + 9339289/1999396*y^2*z^2 + 
        1519936272724989/1026425464663202*x*z^3 - 16363121433/32033037386*y*z^3 
        + 1532777232188601/2052850929326404*z^4,
    x^4 - 399/187*x^3*y + 159201/139876*x^2*y^2 + 43151/7752*x^3*z - 
        3515819/966416*x^2*y*z + 43854/34969*x*y^2*z + 
        766558177/240374016*x^2*z^2 + 14956873/1449624*x*y*z^2 - 
        8084/34969*y^2*z^2 - 3969892/312987*x*z^3 - 496693/241604*y*z^3 + 
        541696/104329*z^4,
    x^4 - 5137/600*x^3*y + 26388769/1440000*x^2*y^2 - 818799951/255395560*x^3*z 
        + 2414627930171/102158224000*x^2*y*z - 192234281/5040000*x*y^2*z + 
        920979445367930881/260907568270854400*x^2*z^2 - 
        7546247285819/357553784000*x*y*z^2 + 1324365169/70560000*y^2*z^2 - 
        200813125550204127/130453784135427200*x*z^3 + 
        13382330137879/2145322704000*y*z^3 + 
        60149022727362529/260907568270854400*z^4,
    x^4 - 4229/2216*x^3*y + 17884441/19642624*x^2*y^2 + 5072463/1265336*x^3*z - 
        19377189465/5607969152*x^2*y*z - 7299141/9821312*x*y^2*z + 
        30386727335233/6404300771584*x^2*z^2 + 11220632017/2803984576*x*y*z^2 + 
        15575681/19642624*y^2*z^2 + 4667076829503/3202150385792*x*z^3 + 
        7953890151/5607969152*y*z^3 + 846549046561/6404300771584*z^4,
    x^4 - 19562/2821*x^3*y + 95667961/7958041*x^2*y^2 + 2632097642/2306059*x^3*z
        + 18726986100072/6505392439*x^2*y*z - 38742566/7958041*x*y^2*z + 
        1737113002467161349/5317908111481*x^2*z^2 + 
        2147264041474/500414803*x*y*z^2 - 44585063/7958041*y^2*z^2 + 
        2926794416454539252/5317908111481*x*z^3 + 8255680417228/6505392439*y*z^3
        + 1236461059534842436/5317908111481*z^4,
    x^4 - 162/55*x^3*y + 6561/3025*x^2*y^2 - 695977/400620*x^3*z - 
        18251309/16525575*x^2*y*z + 13933/6050*x*y^2*z - 
        121311790991/641985537600*x^2*z^2 - 724632031/264409200*x*y*z^2 + 
        48049/48400*y^2*z^2 + 131530605299/160496384400*x*z^3 - 
        13694257/14689400*y*z^3 + 35716086169/160496384400*z^4,
    x^4 - 334/95*x^3*y + 27889/9025*x^2*y^2 - 691148/2185*x^3*z + 
        74813086/207575*x^2*y*z + 40458/9025*x*y^2*z + 
        120512967406/4774225*x^2*z^2 + 25635282/207575*x*y*z^2 - 
        12951/9025*y^2*z^2 - 172641167772/4774225*x*z^3 - 1206018/207575*y*z^3 +
        62394544521/4774225*z^4,
    x^4 - 99/4*x^3*y + 9801/64*x^2*y^2 + 127/33*x^3*z - 16163/88*x^2*y*z + 
        9453/32*x*y^2*z - 33371/4356*x^2*z^2 - 9547/33*x*y*z^2 + 9249/64*y^2*z^2
        - 15875/726*x*z^3 - 39653/264*y*z^3 + 15625/484*z^4,
    x^4 - 914/385*x^3*y + 208849/148225*x^2*y^2 - 3454086/962005*x^3*z + 
        4268223928/370371925*x^2*y*z - 1191882/148225*x*y^2*z + 
        4283427572469/925453620025*x^2*z^2 - 4320768954/370371925*x*y*z^2 + 
        779769/148225*y^2*z^2 - 2335176289332/925453620025*x*z^3 + 
        1219663548/370371925*y*z^3 + 457059827844/925453620025*z^4,
    x^4 - 506/255*x^3*y + 64009/65025*x^2*y^2 - 13660/7939*x^3*z + 
        9707698/2024445*x^2*y*z - 66434/21675*x*y^2*z + 
        188137758/63027721*x^2*z^2 - 7214094/674815*x*y*z^2 + 
        176363/21675*y^2*z^2 - 121724260/63027721*x*z^3 + 1025686/2024445*y*z^3 
        + 79405921/63027721*z^4,
    x^4 - 228/91*x^3*y + 12996/8281*x^2*y^2 + 10051/4291*x^3*z - 
        2933212/390481*x^2*y*z + 47468/8281*x*y^2*z + 315229321/73650724*x^2*z^2
        - 6051315/390481*x*y*z^2 + 109001/8281*y^2*z^2 + 62718240/18412681*x*z^3
        - 1090448/390481*y*z^3 + 38937600/18412681*z^4,
    x^4 - 71/3*x^3*y + 5041/36*x^2*y^2 - 27061/5619*x^3*z + 
        3381115/33714*x^2*y*z - 20465/54*x*y^2*z + 1098768901/126292644*x^2*z^2 
        - 6942230/50571*x*y*z^2 + 82225/324*y^2*z^2 - 147076535/21048774*x*z^3 +
        2063975/33714*y*z^3 + 29539225/14032516*z^4,
    x^4 + 98/17*x^3*y + 2401/289*x^2*y^2 + 146451/61268*x^3*z + 
        13463095/520778*x^2*y*z + 25583/1156*x*y^2*z - 
        26085534503/15015071296*x^2*z^2 + 5357537/157216*x*y*z^2 + 
        279073/18496*y^2*z^2 - 28405196607/7507535648*x*z^3 + 
        83239637/8332448*y*z^3 + 37619317849/15015071296*z^4,
    x^4 - 153/31*x^3*y + 23409/3844*x^2*y^2 + 870358/412455*x^3*z - 
        80233808/4262035*x^2*y*z + 113871/9610*x*y^2*z - 
        702843543779/170119127025*x^2*z^2 - 1586725243/63930525*x*y*z^2 + 
        708769/96100*y^2*z^2 - 104597883724/18902125225*x*z^3 - 
        387681582/21310175*y*z^3 + 129984765156/18902125225*z^4,
    x^4 + 71/3*x^3*y + 5041/36*x^2*y^2 - 219253/6495*x^3*z + 
        17613779/38970*x^2*y*z + 5042/45*x*y^2*z + 45740640649/168740100*x^2*z^2
        + 34107284/97425*x*y*z^2 + 5044/225*y^2*z^2 + 9837005098/42185025*x*z^3 
        + 6745016/97425*y*z^3 + 2012957956/42185025*z^4,
    x^4 - 1217/66*x^3*y + 1481089/17424*x^2*y^2 - 20294272/3332769*x^3*z + 
        21398194451/219962754*x^2*y*z - 3323267/8712*x*y^2*z + 
        140034938559022/11107349207361*x^2*z^2 - 33897947687/219962754*x*y*z^2 +
        7269001/17424*y^2*z^2 - 112867141673344/11107349207361*x*z^3 + 
        14748219653/219962754*y*z^3 + 30930582571729/11107349207361*z^4,
    x^4 + 94/135*x^3*y + 2209/18225*x^2*y^2 - 137384/43425*x^3*z - 
        32555558/5862375*x^2*y*z - 33178/18225*x*y^2*z + 
        5998325614/1885730625*x^2*z^2 + 50057174/5862375*x*y*z^2 + 
        38089/18225*y^2*z^2 - 404870648/377146125*x*z^3 - 20000102/5862375*y*z^3
        + 8684809/75429225*z^4,
    x^4 + 904/1043*x^3*y + 204304/1087849*x^2*y^2 - 951645/838721*x^3*z + 
        216164044/874786003*x^2*y*z + 326528/1087849*x*y^2*z - 
        19957764671783/2813811663364*x^2*z^2 + 8691508369/874786003*x*y*z^2 + 
        8013433/1087849*y^2*z^2 + 2959050672870/703452915841*x*z^3 - 
        7190036116/874786003*y*z^3 + 9668405672836/703452915841*z^4,
    x^4 - 469/170*x^3*y + 219961/115600*x^2*y^2 + 58687/27965*x^3*z - 
        881829/339575*x^2*y*z + 129241/115600*x*y^2*z + 
        3569559029/3128164900*x^2*z^2 + 31416011/19016200*x*y*z^2 + 
        828921/462400*y^2*z^2 + 65788127/1564082450*x*z^3 + 
        25155819/19016200*y*z^3 + 1256641/3128164900*z^4,
    x^4 - 239/70*x^3*y + 57121/19600*x^2*y^2 - 1550371/113057*x^3*z - 
        75782407/3956995*x^2*y*z + 103239/19600*x*y^2*z + 
        2073377727997/51127540996*x^2*z^2 - 190368495/6331192*x*y*z^2 + 
        112401/78400*y^2*z^2 + 1132271599833/25563770498*x*z^3 - 
        251723637/31655960*y*z^3 + 533371684329/51127540996*z^4,
    x^4 + 248/5*x^3*y + 15376/25*x^2*y^2 - 242231/95960*x^3*z - 
        7116407/59975*x^2*y*z - 24418/25*x*y^2*z + 
        87154482321/36833286400*x^2*z^2 + 180734677/1919200*x*y*z^2 + 
        154921/400*y^2*z^2 - 8986043407/9208321600*x*z^3 - 23803427/959600*y*z^3
        + 1376187409/9208321600*z^4,
    x^4 + 62/69*x^3*y + 961/4761*x^2*y^2 - 2211068/566605*x^3*z - 
        81990788/39095745*x^2*y*z - 332/1587*x*y^2*z + 
        403329747796/321041226025*x^2*z^2 + 93782368/13031915*x*y*z^2 + 
        13108/2645*y^2*z^2 + 1597753113888/321041226025*x*z^3 - 
        97561056/65159575*y*z^3 + 522173883456/321041226025*z^4,
    x^4 - 37/35*x^3*y + 1369/4900*x^2*y^2 - 7356/2005*x^3*z + 
        299064/70175*x^2*y*z - 873/2450*x*y^2*z + 20669494/4020025*x^2*z^2 - 
        226481/70175*x*y*z^2 + 1541/4900*y^2*z^2 - 13101036/4020025*x*z^3 + 
        19086/70175*y*z^3 + 3171961/4020025*z^4,
    x^4 - 2974/855*x^3*y + 2211169/731025*x^2*y^2 + 533082/1239731*x^3*z - 
        4324880404/353323335*x^2*y*z + 7201454/731025*x*y^2*z - 
        5732672270111/1536932952361*x^2*z^2 - 2473975006/117774445*x*y*z^2 + 
        6071941/731025*y^2*z^2 - 1247793566712/1536932952361*x*z^3 - 
        16061410892/1059970005*y*z^3 + 5478951392656/1536932952361*z^4,
    x^4 - 360/169*x^3*y + 32400/28561*x^2*y^2 + 311655/5551*x^3*z + 
        5740314289/129460422*x^2*y*z - 836023/171366*x*y^2*z + 
        18233557758679/25513661628*x^2*z^2 - 36500118190/194190633*x*y*z^2 + 
        435176/85683*y^2*z^2 - 625641283285/303734067*x*z^3 + 
        254372280677/1553525064*y*z^3 + 36269795598481/26945550801*z^4,
    x^4 - 4798/1585*x^3*y + 5755201/2512225*x^2*y^2 + 84002140/326228821*x^3*z -
        9059636557454/1551218043855*x^2*y*z + 50122718/7536675*x*y^2*z - 
        132902605661625338/106425243651050041*x^2*z^2 - 
        3019509792142/517072681285*x*y*z^2 + 15438809/2512225*y^2*z^2 - 
        17337969370157460/106425243651050041*x*z^3 - 
        234264106746/103414536257*y*z^3 + 42600604579941321/106425243651050041*\
        z^4,
    x^4 - 238/9*x^3*y + 14161/81*x^2*y^2 + 22344/131*x^3*z + 
        2604824/1179*x^2*y*z + 10700/81*x*y^2*z + 125910840/17161*x^2*z^2 + 
        1978480/1179*x*y*z^2 + 2020/81*y^2*z^2 + 93576672/17161*x*z^3 + 
        124624/393*y*z^3 + 17539344/17161*z^4,
    x^4 + 128/453*x^3*y + 4096/205209*x^2*y^2 + 426566912/16950505*x^3*z - 
        107727015389/7678578765*x^2*y*z + 434059/342015*x*y^2*z + 
        46709403775627726/287319619755025*x^2*z^2 - 
        631540484714/12797631275*x*y*z^2 + 2166049/570025*y^2*z^2 + 
        15345522417838848/287319619755025*x*z^3 - 78160662831/12797631275*y*z^3 
        + 1294163139321441/287319619755025*z^4,
    x^4 - 12511/6060*x^3*y + 156525121/146894400*x^2*y^2 - 
        240108192/101833553*x^3*z + 66179353421/20570377706*x^2*y*z - 
        102101441/73447200*x*y^2*z + 24953195160485374/10370072516603809*x^2*z^\
        2 - 68647736117/205703777060*x*y*z^2 + 64815361/146894400*y^2*z^2 - 
        12426113487855456/10370072516603809*x*z^3 - 3986912422/9075166635*y*z^3 
        + 2678284305092449/10370072516603809*z^4,
    x^4 - 6/11*x^3*y + 9/121*x^2*y^2 - 1241/2123*x^3*z + 102977/23353*x^2*y*z - 
        1810/363*x*y^2*z - 23672667/18028516*x^2*z^2 - 226142/70059*x*y*z^2 + 
        8185/1089*y^2*z^2 + 3684529/9014258*x*z^3 - 60589/70059*y*z^3 + 
        8814961/18028516*z^4,
    x^4 + 214/403*x^3*y + 11449/162409*x^2*y^2 - 13446/1488403*x^3*z - 
        30887140/46140493*x^2*y*z - 1411682/1136863*x*y^2*z - 
        1466948612519/2215343490409*x^2*z^2 + 5091804580/4198784863*x*y*z^2 + 
        6099734/7958041*y^2*z^2 + 6626296368/2215343490409*x*z^3 - 
        2669121718/4198784863*y*z^3 + 242859724864/2215343490409*z^4,
    x^4 - 934/455*x^3*y + 218089/207025*x^2*y^2 - 30595/308*x^3*z - 
        23799031/140140*x^2*y*z - 176052/207025*x*y^2*z + 
        962559273/379456*x^2*z^2 + 6450336/35035*x*y*z^2 + 34134/207025*y^2*z^2 
        - 329110415/94864*x*z^3 - 4106797/140140*y*z^3 + 115713049/94864*z^4,
    x^4 - 937/45*x^3*y + 877969/8100*x^2*y^2 - 20521/217383*x^3*z + 
        327915887/19564470*x^2*y*z - 171782/2025*x*y^2*z - 
        127730514719/189021474756*x^2*z^2 - 13430564/9782235*x*y*z^2 + 
        26596/2025*y^2*z^2 + 1512192490/47255368689*x*z^3 - 
        8033096/9782235*y*z^3 + 5430216100/47255368689*z^4,
    x^4 - 423/82*x^3*y + 178929/26896*x^2*y^2 - 2123324/7204971*x^3*z - 
        10098254717/590807622*x^2*y*z + 801667/40344*x*y^2*z - 
        63371807812954/51911607110841*x^2*z^2 - 34001857457/1772422866*x*y*z^2 +
        2697881/242064*y^2*z^2 + 28512009535268/155734821332523*x*z^3 - 
        4078178011/590807622*y*z^3 + 180311371992049/467204463997569*z^4,
    x^4 - 846/379*x^3*y + 178929/143641*x^2*y^2 - 1084686/765959*x^3*z + 
        1096532424/290298461*x^2*y*z - 4478622/718205*x*y^2*z - 
        880161940923/586693189681*x^2*z^2 - 5236856578/1451492305*x*y*z^2 + 
        42176641/3591025*y^2*z^2 + 831470392044/586693189681*x*z^3 + 
        8878074828/1451492305*y*z^3 + 587605034916/586693189681*z^4,
    x^4 + 1707/89*x^3*y + 2913849/31684*x^2*y^2 - 6722293/1691979*x^3*z - 
        2697153661/50195377*x^2*y*z - 4602375/31684*x*y^2*z + 
        65210370077353/11451171745764*x^2*z^2 + 28880864225/602344524*x*y*z^2 + 
        7794745/126736*y^2*z^2 - 9943091466746/2862792936441*x*z^3 - 
        2027931479/150586131*y*z^3 + 2187801890884/2862792936441*z^4,
    x^4 - 2692/163*x^3*y + 1811716/26569*x^2*y^2 + 3838465/3571167*x^3*z - 
        21710146964/582100221*x^2*y*z + 5067524/26569*x*y^2*z + 
        43442125091197/51012934967556*x^2*z^2 - 7026539849/582100221*x*y*z^2 + 
        3376513/26569*y^2*z^2 + 7714274425985/25506467483778*x*z^3 + 
        5235146641/582100221*y*z^3 + 4039010653441/51012934967556*z^4,
    x^4 + 14/23*x^3*y + 49/529*x^2*y^2 + 3374/253*x^3*z + 74506/17457*x^2*y*z + 
        244/1587*x*y^2*z + 2378425/64009*x^2*z^2 + 343496/17457*x*y*z^2 + 
        3412/1587*y^2*z^2 - 283416/5819*x*z^3 - 188132/17457*y*z^3 + 
        7056/529*z^4,
    x^4 - 216/121*x^3*y + 11664/14641*x^2*y^2 - 858095/319308*x^3*z + 
        39265846/16098445*x^2*y*z - 4164/73205*x*y^2*z + 
        656926624513/407830395456*x^2*z^2 + 48992407/386362680*x*y*z^2 - 
        41059/292820*y^2*z^2 + 8890722295/33985866288*x*z^3 - 
        21491951/64393780*y*z^3 + 107350321/11328622096*z^4,
    x^4 + 103/20*x^3*y + 10609/1600*x^2*y^2 - 155516/26995*x^3*z - 
        2683301/539900*x^2*y*z - 9551/800*x*y^2*z + 8571256894/728730025*x^2*z^2
        - 2057177/539900*x*y*z^2 + 8689/1600*y^2*z^2 - 
        7273016772/728730025*x*z^3 + 1941009/539900*y*z^3 + 
        2187152289/728730025*z^4,
    x^4 - 3/14*x^3*y + 9/784*x^2*y^2 - 983/683*x^3*z - 8497/19124*x^2*y*z + 
        1279/196*x*y^2*z - 1552615/1865956*x^2*z^2 - 22721/4781*x*y*z^2 + 
        569/196*y^2*z^2 + 453163/466489*x*z^3 - 9993/4781*y*z^3 + 
        212521/466489*z^4,
    x^4 - 38107/19880*x^3*y + 1452143449/1580857600*x^2*y^2 - 
        185040454/278525545*x^3*z + 8344029690093/2768543917300*x^2*y*z - 
        1553921311/790428800*x*y^2*z - 126894718683110751/77576479217547025*x^2\
        *z^2 - 1618961652709/791012547800*x*y*z^2 + 
        2004572329/1580857600*y^2*z^2 + 44995156972086968/77576479217547025*x*z\
        ^3 + 796772767642/692135979325*y*z^3 + 
        59128678372587664/77576479217547025*z^4,
    x^4 - 17/40*x^3*y + 289/6400*x^2*y^2 + 7872/49*x^3*z + 407821/1960*x^2*y*z -
        5951/3200*x*y^2*z + 15120382/2401*x^2*z^2 - 625859/1960*x*y*z^2 + 
        13409/6400*y^2*z^2 - 29858496/2401*x*z^3 + 194287/1960*y*z^3 + 
        14386849/2401*z^4,
    x^4 - 2714/1167*x^3*y + 1841449/1361889*x^2*y^2 - 3089829/5081896*x^3*z + 
        4225618311/1976857544*x^2*y*z - 4220644/1361889*x*y^2*z - 
        275852032834919/103302667819264*x^2*z^2 - 3340360677/1976857544*x*y*z^2 
        + 5952781/1361889*y^2*z^2 + 21690584130855/25825666954816*x*z^3 + 
        13386125045/2965286316*y*z^3 + 49280329800025/25825666954816*z^4,
    x^4 - 61/14*x^3*y + 3721/784*x^2*y^2 - 212323/26614*x^3*z + 
        12205955/372596*x^2*y*z - 50409/1568*x*y^2*z + 
        76233701433/2833219984*x^2*z^2 - 256351359/2980768*x*y*z^2 + 
        762441/12544*y^2*z^2 - 31066464391/708304996*x*z^3 + 
        100387577/1490384*y*z^3 + 21408664489/708304996*z^4,
    x^4 + 45/58*x^3*y + 2025/13456*x^2*y^2 - 649334/1620665*x^3*z + 
        58765737/18799714*x^2*y*z - 3175/5046*x*y^2*z + 
        1261558658589/2626555042225*x^2*z^2 - 207406244/140997855*x*y*z^2 + 
        1666/7569*y^2*z^2 - 46322188892/525311008445*x*z^3 + 
        831325/28199571*y*z^3 + 5089110244/105062201689*z^4,
    x^4 - 106/245*x^3*y + 2809/60025*x^2*y^2 - 6110/3451*x^3*z + 
        15686864/845495*x^2*y*z - 112262/60025*x*y^2*z + 
        307458013/11909401*x^2*z^2 - 51701614/845495*x*y*z^2 + 
        374929/60025*y^2*z^2 - 263915340/11909401*x*z^3 + 1825716/845495*y*z^3 +
        1865721636/11909401*z^4,
    x^4 - 7421/2248*x^3*y + 55071241/20214016*x^2*y^2 + 9303752/13071839*x^3*z +
        174687201747/29385494072*x^2*y*z - 30634247/10107008*x*y^2*z + 
        62121788650662/170872974841921*x^2*z^2 + 13778209199/29385494072*x*y*z^2
        + 13884649/20214016*y^2*z^2 + 119060114344/1412173345801*x*z^3 - 
        6779600519/29385494072*y*z^3 + 19815348289/1412173345801*z^4,
    x^4 + 542/1079*x^3*y + 73441/1164241*x^2*y^2 - 9253820/1064143*x^3*z - 
        12813175484/1148210297*x^2*y*z - 3671268/1164241*x*y^2*z + 
        28675490444836/1132400324449*x^2*z^2 + 25069158204/1148210297*x*y*z^2 + 
        4848561/1164241*y^2*z^2 - 31597871680320/1132400324449*x*z^3 - 
        12199264992/1148210297*y*z^3 + 11659329259776/1132400324449*z^4,
    x^4 + 2548/341*x^3*y + 1623076/116281*x^2*y^2 - 63724/49755*x^3*z + 
        499805524/16966455*x^2*y*z + 2463680/116281*x*y^2*z - 
        6235609106/2475560025*x^2*z^2 + 98962700/3393291*x*y*z^2 + 
        949408/116281*y^2*z^2 + 928649852/495112005*x*z^3 + 
        127455748/16966455*y*z^3 + 212372329/99022401*z^4,
    x^4 - 220/137*x^3*y + 12100/18769*x^2*y^2 - 437305/517449*x^3*z + 
        15483356/70890513*x^2*y*z + 132988/206459*x*y^2*z - 
        663316871903/1071013870404*x^2*z^2 - 738115145/779795643*x*y*z^2 + 
        1956673/2271049*y^2*z^2 + 90274620370/267753467601*x*z^3 - 
        50396176/70890513*y*z^3 + 42614996356/267753467601*z^4,
    x^4 - 1882/1677*x^3*y + 885481/2812329*x^2*y^2 - 9290194/1149347*x^3*z + 
        23088108728/1927454919*x^2*y*z - 3696574/937443*x*y^2*z + 
        26777937391645/1320998526409*x^2*z^2 - 11327976578/642484973*x*y*z^2 + 
        1216409/312481*y^2*z^2 - 21019937203236/1320998526409*x*z^3 + 
        5110415124/642484973*y*z^3 + 5119331608836/1320998526409*z^4,
    x^4 - 734/591*x^3*y + 134689/349281*x^2*y^2 - 2405058/897335*x^3*z + 
        3105869936/530324985*x^2*y*z - 3908002/349281*x*y^2*z + 
        425938906421/805210102225*x^2*z^2 - 5514739514/530324985*x*y*z^2 + 
        8566849/349281*y^2*z^2 + 1367097498708/805210102225*x*z^3 + 
        5792846716/530324985*y*z^3 + 323108117476/805210102225*z^4,
    x^4 - 367/255*x^3*y + 134689/260100*x^2*y^2 + 10831/290037*x^3*z + 
        1779766/14791887*x^2*y*z - 203923/260100*x*y^2*z - 
        604511221859/336485845476*x^2*z^2 - 698055047/295837740*x*y*z^2 + 
        7519561/1040400*y^2*z^2 - 5644738115/168242922738*x*z^3 - 
        276973207/295837740*y*z^3 + 271612957225/336485845476*z^4,
    x^4 - 146/23*x^3*y + 5329/529*x^2*y^2 + 5526/49519*x^3*z - 
        6419690/1138937*x^2*y*z + 8564/529*x*y^2*z - 
        4295765007/2452131361*x^2*z^2 + 4220696/1138937*x*y*z^2 + 
        7660/529*y^2*z^2 - 240115752/2452131361*x*z^3 + 6431940/1138937*y*z^3 + 
        1888076304/2452131361*z^4,
    x^4 - 13258/909*x^3*y + 43943641/826281*x^2*y^2 - 14460048/8298059*x^3*z - 
        34982747648/1077562233*x^2*y*z + 48587168/826281*x*y^2*z - 
        43744174512554/68857783167481*x^2*z^2 - 185230328482/7542935631*x*y*z^2 
        + 13351711/826281*y^2*z^2 + 11951301972240/9836826166783*x*z^3 - 
        6425909440/1077562233*y*z^3 + 683110515025/1405260880969*z^4,
    x^4 - 683/301*x^3*y + 466489/362404*x^2*y^2 - 2244502/1513643*x^3*z + 
        22227945977/1822426172*x^2*y*z - 3382997/362404*x*y^2*z - 
        2203610458127/2291115131449*x^2*z^2 - 19955331131/911213086*x*y*z^2 + 
        971083/90601*y^2*z^2 + 2567593573896/2291115131449*x*z^3 + 
        23839158993/1822426172*y*z^3 + 1308617026704/2291115131449*z^4,
    x^4 - 1022/27*x^3*y + 261121/729*x^2*y^2 - 11182/12089*x^3*z - 
        6402002/46629*x^2*y*z + 377104/729*x*y^2*z - 169514831/146143921*x^2*z^2
        - 42727712/326403*x*y*z^2 + 133984/729*y^2*z^2 + 
        92855328/146143921*x*z^3 - 12219376/326403*y*z^3 + 
        68956416/146143921*z^4,
    x^4 - 106/89*x^3*y + 2809/7921*x^2*y^2 + 78524/27501*x^3*z - 
        567598/815863*x^2*y*z - 26926/23763*x*y^2*z - 
        878198342/756305001*x^2*z^2 - 86093522/7342767*x*y*z^2 + 
        727081/71289*y^2*z^2 - 3454506332/756305001*x*z^3 + 
        28157606/7342767*y*z^3 + 1935384049/756305001*z^4,
    x^4 + 314/11*x^3*y + 24649/121*x^2*y^2 - 8584/7327*x^3*z + 
        7978898/80597*x^2*y*z + 31310/121*x*y^2*z - 75701378/53684929*x^2*z^2 + 
        7443894/80597*x*y*z^2 + 9865/121*y^2*z^2 + 55135032/53684929*x*z^3 + 
        2092458/80597*y*z^3 + 41254929/53684929*z^4,
    x^4 - 64/65*x^3*y + 1024/4225*x^2*y^2 - 566725/243984*x^3*z + 
        6772474/991185*x^2*y*z - 168448/12675*x*y^2*z + 
        84422959513/238112769024*x^2*z^2 - 14588827/1034280*x*y*z^2 + 
        995524/38025*y^2*z^2 + 1432114075/1240170672*x*z^3 + 
        2219320/198237*y*z^3 + 6385729/25836889*z^4,
    x^4 + 233/81*x^3*y + 54289/26244*x^2*y^2 + 922846/2085615*x^3*z + 
        63212953/33786963*x^2*y*z + 53938/32805*x*y^2*z - 
        3901586750087/4349789928225*x^2*z^2 - 808033978/844674075*x*y*z^2 + 
        439228/164025*y^2*z^2 - 4551472780616/21748949641125*x*z^3 - 
        1043179492/603338625*y*z^3 + 24324584544016/108744748205625*z^4,
    x^4 + 311/224*x^3*y + 96721/200704*x^2*y^2 - 457425/95056*x^3*z - 
        219115615/6083584*x^2*y*z - 259859/25088*x*y^2*z + 
        338335845793/36142572544*x^2*z^2 + 183495211/5323136*x*y*z^2 + 
        124441/12544*y^2*z^2 - 38827606275/4517821568*x*z^3 - 
        7016993/2661568*y*z^3 + 7205123689/2258910784*z^4,
    x^4 + 89/38*x^3*y + 7921/5776*x^2*y^2 + 19514/9139*x^3*z - 
        76775507/52439582*x^2*y*z - 30055/18772*x*y^2*z + 
        3046973451/12611719471*x^2*z^2 + 743908852/340857283*x*y*z^2 + 
        72433/244036*y^2*z^2 - 12094113724/12611719471*x*z^3 - 
        156865798/340857283*y*z^3 + 384109894756/1904369640121*z^4,
    x^4 - 898/7*x^3*y + 201601/49*x^2*y^2 - 1543622/364385*x^3*z + 
        1100039497/2550695*x^2*y*z - 449201/49*x*y^2*z + 
        893232977781/132776428225*x^2*z^2 - 1232131602/2550695*x*y*z^2 + 
        250219/49*y^2*z^2 - 630226902916/132776428225*x*z^3 + 
        459822568/2550695*y*z^3 + 166690925284/132776428225*z^4,
    x^4 - 122/63*x^3*y + 3721/3969*x^2*y^2 - 1628/257*x^3*z + 7616/771*x^2*y*z -
        10400/3969*x*y^2*z - 346386/66049*x^2*z^2 - 13182/1799*x*y*z^2 - 
        845/3969*y^2*z^2 + 3195764/66049*x*z^3 + 31096/16191*y*z^3 + 
        3853369/66049*z^4,
    x^4 - 10/3*x^3*y + 25/9*x^2*y^2 - 432/25*x^3*z - 176/15*x^2*y*z + 
        140/9*x*y^2*z + 61006/625*x^2*z^2 + 5362/75*x*y*z^2 - 245/9*y^2*z^2 - 
        123984/625*x*z^3 - 5096/75*y*z^3 + 82369/625*z^4,
    x^4 + 4529/2130*x^3*y + 20511841/18147600*x^2*y^2 - 535126724/99528581*x^3*z
        - 175467742517/42399175506*x^2*y*z + 1972721/3024600*x*y^2*z + 
        87794003838314854/9905938435873561*x^2*z^2 + 
        361940828009/70665292510*x*y*z^2 + 3024001/2016400*y^2*z^2 - 
        43560923389405620/9905938435873561*x*z^3 - 50163913677/70665292510*y*z^3
        + 6626449223030025/9905938435873561*z^4,
    x^4 - 1464/485*x^3*y + 535824/235225*x^2*y^2 + 101085/80801*x^3*z - 
        184205424/39188485*x^2*y*z + 593608/235225*x*y^2*z - 
        101235328533/26115206404*x^2*z^2 + 29067804/39188485*x*y*z^2 + 
        660409/235225*y^2*z^2 - 69716201715/26115206404*x*z^3 + 
        604993203/78376970*y*z^3 + 475657123041/104460825616*z^4,
    x^4 + 53/59*x^3*y + 2809/13924*x^2*y^2 + 882759/623099*x^3*z - 
        256621854/36762841*x^2*y*z + 130623/13924*x*y^2*z - 
        570012569291/1553009455204*x^2*z^2 - 2895855229/147051364*x*y*z^2 + 
        628601/55696*y^2*z^2 - 477887763963/776504727602*x*z^3 - 
        1796088663/147051364*y*z^3 + 293067401449/1553009455204*z^4,
    x^4 - 566/245*x^3*y + 80089/60025*x^2*y^2 - 227810/51457*x^3*z + 
        91500116/12606965*x^2*y*z - 477286/180075*x*y^2*z + 
        14898634997/2647822849*x^2*z^2 - 50000302/12606965*x*y*z^2 + 
        476641/540225*y^2*z^2 - 4259591380/2647822849*x*z^3 - 
        20021188/7564179*y*z^3 + 349615204/2647822849*z^4,
    x^4 + 8/31*x^3*y + 16/961*x^2*y^2 + 16614/23963*x^3*z + 
        2850644/742853*x^2*y*z - 638/2883*x*y^2*z + 382777771/574225369*x^2*z^2 
        - 572666/742853*x*y*z^2 + 3097/34596*y^2*z^2 + 108771858/574225369*x*z^3
        - 94169/742853*y*z^3 + 42863209/574225369*z^4,
    x^4 - 43/22*x^3*y + 1849/1936*x^2*y^2 + 7619/388*x^3*z - 
        165233/17072*x^2*y*z - 16237/3872*x*y^2*z + 75965061/602176*x^2*z^2 + 
        225867/17072*x*y*z^2 + 187441/30976*y^2*z^2 + 351807325/1204352*x*z^3 - 
        22109141/273152*y*z^3 + 2132130625/9634816*z^4,
    x^4 + 139/327*x^3*y + 19321/427716*x^2*y^2 - 66993574/15141081*x^3*z - 
        121179587093/24755667435*x^2*y*z - 2224637/1603935*x*y^2*z + 
        1189255264223941/229252333848561*x^2*z^2 + 
        726555732128/74267002305*x*y*z^2 + 13077341/4811805*y^2*z^2 - 
        148712737526644/229252333848561*x*z^3 - 253271477084/74267002305*y*z^3 +
        4927538677636/229252333848561*z^4,
    x^4 - 2096/567*x^3*y + 1098304/321489*x^2*y^2 - 100597/31554*x^3*z - 
        68780888/8945559*x^2*y*z + 1387184/321489*x*y^2*z + 
        1476421621/3982619664*x^2*z^2 - 71055016/8945559*x*y*z^2 + 
        388105/321489*y^2*z^2 + 13777865717/3982619664*x*z^3 - 
        11625635/5111748*y*z^3 + 18758315521/15930478656*z^4,
    x^4 - 104/33*x^3*y + 2704/1089*x^2*y^2 + 45580/6083*x^3*z - 
        2396690/200739*x^2*y*z + 1198/1089*x*y^2*z - 28974018/37002889*x^2*z^2 +
        4044640/200739*x*y*z^2 - 18806/1089*y^2*z^2 - 293489620/5286127*x*z^3 + 
        11457818/200739*y*z^3 + 41460721/755161*z^4,
    x^4 + 7*x^3*y + 49/4*x^2*y^2 + 1085684/1052317*x^3*z + 70547/8843*x^2*y*z + 
        1337/102*x*y^2*z - 516515731122/1107371068489*x^2*z^2 + 
        1619227/3156951*x*y*z^2 + 68161/10404*y^2*z^2 - 
        1016253422516/2689329737759*x*z^3 - 282838141/130336977*y*z^3 + 
        876187730401/6531229363129*z^4,
    x^4 - 256/147*x^3*y + 16384/21609*x^2*y^2 - 7828/1785*x^3*z + 
        6670196/1311975*x^2*y*z - 67864/64827*x*y^2*z + 16211182/3186225*x^2*z^2
        - 8097248/3935925*x*y*z^2 - 56024/194481*y^2*z^2 - 
        9777172/15931125*x*z^3 - 8121052/3935925*y*z^3 + 1560001/79655625*z^4,
    x^4 + 149/52*x^3*y + 22201/10816*x^2*y^2 + 253371/133916*x^3*z - 
        361041479/13927264*x^2*y*z + 13783/2704*x*y^2*z - 
        48655756551/71733980224*x^2*z^2 + 78098191/3481816*x*y*z^2 - 
        6503/2704*y^2*z^2 - 26689847769/17933495056*x*z^3 - 
        17177607/3481816*y*z^3 + 11096304921/17933495056*z^4,
    x^4 + 17/8*x^3*y + 289/256*x^2*y^2 + 2260/249*x^3*z + 32161/1992*x^2*y*z + 
        699/128*x*y^2*z + 1131982/62001*x^2*z^2 + 24305/664*x*y*z^2 + 
        1145/256*y^2*z^2 - 219220/20667*x*z^3 + 37955/1992*y*z^3 + 
        9409/6889*z^4,
    x^4 + 2927/364*x^3*y + 8567329/529984*x^2*y^2 - 60336579/16025113*x^3*z - 
        18097530701/614014856*x^2*y*z - 7132871/132496*x*y^2*z + 
        5226364485819857/1027216986651076*x^2*z^2 + 
        13540603121/416652938*x*y*z^2 + 5482129/132496*y^2*z^2 - 
        746371265648691/256804246662769*x*z^3 - 30543183743/2916570566*y*z^3 + 
        153020091476641/256804246662769*z^4,
    x^4 - 5392/815*x^3*y + 7268416/664225*x^2*y^2 - 77749475/19765217*x^3*z - 
        17826944992/16108651855*x^2*y*z + 2060432/664225*x*y^2*z - 
        2598948128947287/1562655212228356*x^2*z^2 + 
        201477084538/16108651855*x*y*z^2 + 1504516/664225*y^2*z^2 + 
        4250275503196700/390663803057089*x*z^3 + 173676071216/16108651855*y*z^3 
        + 2988403481029264/390663803057089*z^4,
    x^4 - 108/329*x^3*y + 2916/108241*x^2*y^2 + 77936/108429*x^3*z + 
        2137270/11891047*x^2*y*z + 55686/108241*x*y^2*z - 
        24558452618/11756848041*x^2*z^2 + 20601524/35673141*x*y*z^2 + 
        120054/108241*y^2*z^2 - 1041302896/1306316449*x*z^3 - 
        81303706/35673141*y*z^3 + 1606646889/1306316449*z^4,
    x^4 + 818/1155*x^3*y + 167281/1334025*x^2*y^2 - 2908642/1152915*x^3*z - 
        6606956822/1331616825*x^2*y*z - 2974876/1334025*x*y^2*z + 
        3027461890381/1329212997225*x^2*z^2 + 8201696072/1331616825*x*y*z^2 + 
        2661124/1334025*y^2*z^2 - 1150943822116/1329212997225*x*z^3 - 
        242029528/121056075*y*z^3 + 156576907204/1329212997225*z^4,
    x^4 - 281/109*x^3*y + 78961/47524*x^2*y^2 + 7441829/1008141*x^3*z + 
        688260546/36629123*x^2*y*z - 826783/142572*x*y^2*z + 
        2409900967117/4065393103524*x^2*z^2 - 58217180467/1318648428*x*y*z^2 + 
        8294929/1710864*y^2*z^2 - 32584770133913/677565517254*x*z^3 + 
        13618668941/439549476*y*z^3 + 19172111688409/451710344836*z^4,
    x^4 - 728/939*x^3*y + 132496/881721*x^2*y^2 + 86533136/22041773*x^3*z - 
        5962398532/1592094219*x^2*y*z + 908791/881721*x*y^2*z + 
        1039519005735766/485839756983529*x^2*z^2 - 
        184571127784/20697224847*x*y*z^2 + 14329717/3526884*y^2*z^2 - 
        125699850549456/37372288998733*x*z^3 - 720898544/530698073*y*z^3 + 
        2110107769641/2874791461441*z^4,
    x^4 + 121/62*x^3*y + 14641/15376*x^2*y^2 - 1794/48329*x^3*z - 
        26744953/8989194*x^2*y*z - 23293/3844*x*y^2*z - 
        816728755/2335692241*x^2*z^2 + 3258176/4494597*x*y*z^2 + 
        13129/3844*y^2*z^2 + 15173652/2335692241*x*z^3 + 139170/1498199*y*z^3 + 
        71537764/2335692241*z^4,
    x^4 + 157/49*x^3*y + 24649/9604*x^2*y^2 - 5040802/1381359*x^3*z - 
        308822620/67686591*x^2*y*z + 31561/14406*x*y^2*z + 
        2245767978829/1908152686881*x^2*z^2 + 477324913/203059773*x*y*z^2 + 
        916729/86436*y^2*z^2 + 7492920296108/1908152686881*x*z^3 - 
        85484278/203059773*y*z^3 + 2209545494116/1908152686881*z^4,
    x^4 - 16/9*x^3*y + 64/81*x^2*y^2 + 161/15*x^3*z - 959/135*x^2*y*z - 
        133/162*x*y^2*z + 21661/900*x^2*z^2 - 1057/108*x*y*z^2 + 
        3181/1296*y^2*z^2 - 11431/450*x*z^3 + 14537/1080*y*z^3 + 5041/900*z^4,
    x^4 + 16606/8575*x^3*y + 68939809/73530625*x^2*y^2 - 
        1469830162/227872785*x^3*z + 8504808699236/1954009131375*x^2*y*z - 
        357111022/220591875*x*y^2*z + 706826133252440821/51926006143656225*x^2*\
        z^2 - 56920832069198/5862027394125*x*y*z^2 + 489837769/661775625*y^2*z^2
        - 537709758417597316/51926006143656225*x*z^3 + 
        512581425452/189097657875*y*z^3 + 133832480063363524/51926006143656225*\
        z^4,
    x^4 - 124/25*x^3*y + 3844/625*x^2*y^2 - 1653003/92150*x^3*z + 
        103074782/1151875*x^2*y*z - 67082/625*x*y^2*z + 
        3492542889209/33966490000*x^2*z^2 - 1951868009/4607500*x*y*z^2 + 
        968521/2500*y^2*z^2 - 426101195322/2122905625*x*z^3 + 
        519825647/1151875*y*z^3 + 265789740304/2122905625*z^4,
    x^4 - 25/2*x^3*y + 625/16*x^2*y^2 - 2291/706*x^3*z - 60589/2824*x^2*y*z + 
        225/16*x*y^2*z + 7523413/1993744*x^2*z^2 + 147483/1412*x*y*z^2 - 
        3375/64*y^2*z^2 - 3690801/1993744*x*z^3 - 813465/11296*y*z^3 + 
        2595321/7974976*z^4,
    x^4 - 302/177*x^3*y + 22801/31329*x^2*y^2 - 24819103/7510228*x^3*z + 
        2784500897/332327589*x^2*y*z - 105335/20886*x*y^2*z + 
        874482771747553/225614098447936*x^2*z^2 - 14299760009/1772413808*x*y*z^2
        + 200617/55696*y^2*z^2 - 106781237184243/56403524611984*x*z^3 + 
        1738764039/886206904*y*z^3 + 18510482269161/56403524611984*z^4,
    x^4 + 1462/49*x^3*y + 534361/2401*x^2*y^2 + 834808/128663*x^3*z - 
        3104081902/6304487*x^2*y*z - 2444110/2401*x*y^2*z - 
        266889077786/16554167569*x^2*z^2 + 11476574058/6304487*x*y*z^2 + 
        2789593/2401*y^2*z^2 - 1431050413416/16554167569*x*z^3 - 
        12266959422/6304487*y*z^3 + 2938574207529/16554167569*z^4,
    x^4 + 9137/2070*x^3*y + 83484769/17139600*x^2*y^2 + 1740380/625577*x^3*z - 
        11501770243/1294944390*x^2*y*z - 76472197/8569800*x*y^2*z - 
        321593165402/391346582929*x^2*z^2 + 3298954351/258988878*x*y*z^2 + 
        75359161/17139600*y^2*z^2 - 1500665279940/391346582929*x*z^3 - 
        7280396801/1294944390*y*z^3 + 743497481169/391346582929*z^4,
    x^4 - 19/37*x^3*y + 361/5476*x^2*y^2 + 967204/117475*x^3*z - 
        67661524/4346575*x^2*y*z + 9721/1369*x*y^2*z + 
        289490138004/13800375625*x^2*z^2 - 8704540/173863*x*y*z^2 + 
        26041/1369*y^2*z^2 + 1802868256/108664375*x*z^3 - 
        137911216/4346575*y*z^3 + 3474496/855625*z^4,
    x^4 - 566/273*x^3*y + 80089/74529*x^2*y^2 - 246341/60892*x^3*z + 
        79032719/16623516*x^2*y*z + 119866/74529*x*y^2*z + 
        67391020297/14831342656*x^2*z^2 - 26214511/4155879*x*y*z^2 + 
        102337/74529*y^2*z^2 - 6783492117/7415671328*x*z^3 + 
        8331775/16623516*y*z^3 + 758286369/14831342656*z^4,
    x^4 + 348/385*x^3*y + 30276/148225*x^2*y^2 - 21584/11319*x^3*z - 
        9554462/1452605*x^2*y*z - 311202/148225*x*y^2*z - 
        275328602/128119761*x^2*z^2 + 22427772/1452605*x*y*z^2 + 
        612126/148225*y^2*z^2 + 41506032/14235529*x*z^3 - 14103114/1452605*y*z^3
        + 33281361/14235529*z^4,
    x^4 - 3/43*x^3*y + 9/7396*x^2*y^2 - 506881/54696*x^3*z - 
        129285493/14111568*x^2*y*z - 15457/16641*x*y^2*z - 
        10903961663/11966609664*x^2*z^2 + 1044303335/21167352*x*y*z^2 + 
        294482/49923*y^2*z^2 + 103419437311/997217472*x*z^3 + 
        208825123/15875514*y*z^3 + 41628648961/332405824*z^4,
    x^4 - 58/35*x^3*y + 841/1225*x^2*y^2 - 17198/2317*x^3*z + 
        312026/81095*x^2*y*z + 2188/1225*x*y^2*z + 27982789/5368489*x^2*z^2 + 
        2981696/81095*x*y*z^2 - 17804/1225*y^2*z^2 + 170569764/5368489*x*z^3 - 
        7103736/81095*y*z^3 + 98366724/5368489*z^4,
    x^4 - 568/185*x^3*y + 80656/34225*x^2*y^2 + 4639/77330*x^3*z - 
        1607976/286121*x^2*y*z + 210424/34225*x*y^2*z - 
        38587492759/23919715600*x^2*z^2 - 82066789/14306050*x*y*z^2 + 
        154929/34225*y^2*z^2 - 579035341/11959857800*x*z^3 - 
        2192409/752950*y*z^3 + 15579782761/23919715600*z^4,
    x^4 - 452/79*x^3*y + 51076/6241*x^2*y^2 - 18155495/7453334*x^3*z + 
        3333195860/294406693*x^2*y*z - 84670/6241*x*y^2*z + 
        212363315940105/222208750862224*x^2*z^2 - 2749837091/1177626772*x*y*z^2 
        - 2351/24964*y^2*z^2 + 71407286607025/111104375431112*x*z^3 - 
        1448863855/1177626772*y*z^3 + 15469236279025/222208750862224*z^4,
    x^4 + 228/29*x^3*y + 12996/841*x^2*y^2 + 11679/16066*x^3*z + 
        21316658/698871*x^2*y*z + 59338/2523*x*y^2*z - 
        2749247351/1032465424*x^2*z^2 + 98522683/2795484*x*y*z^2 + 
        82603/10092*y^2*z^2 - 524422137/516232712*x*z^3 + 31479449/2795484*y*z^3
        + 2016279409/1032465424*z^4,
    x^4 - 136/13*x^3*y + 4624/169*x^2*y^2 + 142409/248937*x^3*z - 
        94047374/3236181*x^2*y*z + 12458/169*x*y^2*z - 
        391816292923/247878519876*x^2*z^2 - 555155857/19417086*x*y*z^2 + 
        101843/2028*y^2*z^2 - 176810599721/371817779814*x*z^3 - 
        580763537/58251258*y*z^3 + 1541493581761/2230906678884*z^4,
    x^4 + 2866/2065*x^3*y + 2053489/4264225*x^2*y^2 + 868565/640681*x^3*z + 
        183608443/1323006265*x^2*y*z + 3160638/4264225*x*y^2*z + 
        246275932677/1641888575044*x^2*z^2 - 2962841862/1323006265*x*y*z^2 + 
        5112249/4264225*y^2*z^2 - 172216462505/820944287522*x*z^3 - 
        1360259009/1323006265*y*z^3 + 39313768729/1641888575044*z^4,
    x^4 - 3398/159*x^3*y + 2886601/25281*x^2*y^2 - 251576368/170456215*x^3*z + 
        1052586360224/27102538185*x^2*y*z - 16139656/126405*x*y^2*z + 
        19390106152823406/29055321232126225*x^2*z^2 - 
        3183141967646/135512690925*x*y*z^2 + 22294759/632025*y^2*z^2 - 
        526518394330736/5811064246425245*x*z^3 + 127997754736/27102538185*y*z^3 
        + 4380134137129/1162212849285049*z^4,
    x^4 - 93572/49621*x^3*y + 2188929796/2462243641*x^2*y^2 - 
        128079221/350731291*x^3*z + 59076205564500/17403637390711*x^2*y*z - 
        5604455644/2462243641*x*y^2*z - 351674890695651963/492049753946106724*x\
        ^2*z^2 - 47853938980571/17403637390711*x*y*z^2 + 
        4336488913/2462243641*y^2*z^2 + 33603570266146931/246024876973053362*x*\
        z^3 + 12244633832513/17403637390711*y*z^3 + 
        68835661362291121/492049753946106724*z^4,
    x^4 - 6842/2821*x^3*y + 11703241/7958041*x^2*y^2 - 45072582/12680767*x^3*z +
        24144521484/3252040337*x^2*y*z - 30859554/7958041*x*y^2*z + 
        736359218443957/160801851708289*x^2*z^2 - 
        278100194254/35772443707*x*y*z^2 + 25444169/7958041*y^2*z^2 - 
        36913272770868/14618350155299*x*z^3 + 8795919924/3252040337*y*z^3 + 
        670718412676/1328940923209*z^4,
    x^4 + 131/57*x^3*y + 17161/12996*x^2*y^2 - 186621/62947*x^3*z + 
        17851390/3587979*x^2*y*z - 13997/12996*x*y^2*z + 
        49014896077/15849299236*x^2*z^2 - 49676411/14351916*x*y*z^2 + 
        12625/51984*y^2*z^2 - 10515533487/7924649618*x*z^3 + 
        5261003/14351916*y*z^3 + 3174984409/15849299236*z^4,
    x^4 + 1/3*x^3*y + 1/36*x^2*y^2 + 1031/600*x^3*z - 11749/1800*x^2*y*z + 
        85/72*x*y^2*z - 249839/1440000*x^2*z^2 + 41831/14400*x*y*z^2 + 
        97/576*y^2*z^2 - 563957/720000*x*z^3 + 7621/14400*y*z^3 + 
        299209/1440000*z^4,
    x^4 + 41/18*x^3*y + 1681/1296*x^2*y^2 - 84989/17714*x^3*z - 
        9208123/637704*x^2*y*z - 851/81*x*y^2*z + 10555629513/1255143184*x^2*z^2
        + 1558978/79713*x*y*z^2 + 868/81*y^2*z^2 - 499650331/78446449*x*z^3 - 
        186760/26571*y*z^3 + 138250564/78446449*z^4,
    x^4 - 870/253*x^3*y + 189225/64009*x^2*y^2 - 203348/139495*x^3*z + 
        39594801/7058447*x^2*y*z - 165375/64009*x*y^2*z + 
        20423416077/38917710050*x^2*z^2 - 187402829/70584470*x*y*z^2 + 
        60887/128018*y^2*z^2 + 18352157/3891771005*x*z^3 + 
        8206015/28233788*y*z^3 + 130321/12453667216*z^4,
    x^4 + 148/95*x^3*y + 5476/9025*x^2*y^2 - 380610/829787*x^3*z - 
        149716356/78829765*x^2*y*z - 171336/63175*x*y^2*z - 
        152082592163/688546465369*x^2*z^2 + 148924484/110361671*x*y*z^2 + 
        610724/442225*y^2*z^2 + 43184771820/688546465369*x*z^3 - 
        254806056/551808355*y*z^3 + 12873625444/688546465369*z^4,
    x^4 - 3922/635*x^3*y + 3845521/403225*x^2*y^2 + 51237280/50682271*x^3*z - 
        1590977469502/32183242085*x^2*y*z + 23655226/403225*x*y^2*z - 
        374943706003778/2568692593717441*x^2*z^2 - 
        2075010588838/32183242085*x*y*z^2 + 16296889/403225*y^2*z^2 - 
        521275738535520/2568692593717441*x*z^3 - 148974562974/6436648417*y*z^3 +
        103505372190081/2568692593717441*z^4,
    x^4 - 573/94*x^3*y + 328329/35344*x^2*y^2 + 30697912/8746371*x^3*z - 
        6382341707/274052958*x^2*y*z + 678097/17672*x*y^2*z + 
        352457937723382/76499005669641*x^2*z^2 - 72514086319/2466476622*x*y*z^2 
        + 15248929/318096*y^2*z^2 + 68363359784552/25499668556547*x*z^3 - 
        5385318043/822158874*y*z^3 + 4959399834841/8499889518849*z^4,
    x^4 - 1483/444*x^3*y + 2199289/788544*x^2*y^2 + 2174968/69153*x^3*z - 
        1557030175/30703932*x^2*y*z + 1820453/394272*x*y^2*z + 
        1038024325234/4782137409*x^2*z^2 - 700183021/30703932*x*y*z^2 - 
        1923359/788544*y^2*z^2 - 2273900769416/4782137409*x*z^3 + 
        552038255/30703932*y*z^3 + 1093043067169/4782137409*z^4,
    x^4 + 179/8*x^3*y + 32041/256*x^2*y^2 - 589/2499*x^3*z - 
        1021943/39984*x^2*y*z - 6819/128*x*y^2*z - 42923/24980004*x^2*z^2 + 
        73445/9996*x*y*z^2 + 1441/256*y^2*z^2 + 7657/4163334*x*z^3 - 
        1159/1904*y*z^3 + 169/2775556*z^4,
    x^4 - 22690/5423*x^3*y + 128709025/29408929*x^2*y^2 + 
        165122302/208515115*x^3*z - 2953936028829/226155493729*x^2*y*z + 
        446608715/29408929*x*y^2*z - 49983619893901299/43478553183463225*x^2*z^\
        2 - 17571341865094/1130777468645*x*y*z^2 + 344836339/29408929*y^2*z^2 - 
        4497966842652628/8695710636692645*x*z^3 - 
        1538819127448/226155493729*y*z^3 + 742029258765796/1739142127338529*z^4\
        ,
    x^4 - 6568/2261*x^3*y + 10784656/5112121*x^2*y^2 - 262677575/164990984*x^3*z
        + 131288129335/46630576853*x^2*y*z - 17333614/5112121*x*y^2*z - 
        84588812075344623/108888099205153024*x^2*z^2 + 
        488544896827/1492178459296*x*y*z^2 + 348375049/81793936*y^2*z^2 + 
        61130927573679475/54444049602576512*x*z^3 + 
        43282224203/22271320288*y*z^3 + 54159665659177849/108888099205153024*z^\
        4,
    x^4 - 498/121*x^3*y + 62001/14641*x^2*y^2 + 34130/19569*x^3*z + 
        17178396/789283*x^2*y*z - 176838/14641*x*y^2*z - 
        648723983/382945761*x^2*z^2 - 67620010/2367849*x*y*z^2 + 
        107017/14641*y^2*z^2 - 819666080/382945761*x*z^3 + 
        25797424/2367849*y*z^3 + 576768256/382945761*z^4,
    x^4 - 501/188*x^3*y + 251001/141376*x^2*y^2 - 3690/5687*x^3*z - 
        781083/388784*x^2*y*z + 683079/282752*x*y^2*z - 
        588163757/258735752*x^2*z^2 - 3486543/1555136*x*y*z^2 + 
        3074041/2262016*y^2*z^2 + 199649295/258735752*x*z^3 - 
        13287629/6220544*y*z^3 + 11709620521/8279544064*z^4,
    x^4 + 113/11*x^3*y + 12769/484*x^2*y^2 + 20489/2858*x^3*z - 
        3014053/62876*x^2*y*z - 8645/484*x*y^2*z + 339803701/32672656*x^2*z^2 + 
        1785425/62876*x*y*z^2 + 5725/1936*y^2*z^2 - 286743555/32672656*x*z^3 - 
        1122375/251504*y*z^3 + 195860025/130690624*z^4,
    x^4 - 122/205*x^3*y + 3721/42025*x^2*y^2 + 26762246/3115795*x^3*z - 
        7650298644/638737975*x^2*y*z + 182842/42025*x*y^2*z + 
        200372273456649/9708178482025*x^2*z^2 - 24894734918/638737975*x*y*z^2 + 
        579121/42025*y^2*z^2 + 91551716684288/9708178482025*x*z^3 - 
        12284963264/638737975*y*z^3 + 11702748381184/9708178482025*z^4,
    x^4 - 134/65*x^3*y + 4489/4225*x^2*y^2 - 398166/212849*x^3*z + 
        4588812/2767037*x^2*y*z + 3918/29575*x*y^2*z + 
        33801978289/45304696801*x^2*z^2 + 47710294/96846295*x*y*z^2 + 
        15929/207025*y^2*z^2 + 5454874200/45304696801*x*z^3 + 
        2281128/96846295*y*z^3 + 187690000/45304696801*z^4,
    x^4 - 925/456*x^3*y + 855625/831744*x^2*y^2 - 3401332/4032085*x^3*z + 
        178163997/30643846*x^2*y*z - 894605/207936*x*y^2*z - 
        27018064253244/16257709447225*x^2*z^2 - 1149026603/153219230*x*y*z^2 + 
        863329/207936*y^2*z^2 + 2523135288256/3251541889445*x*z^3 + 
        197759164/45965769*y*z^3 + 550279108864/650308377889*z^4,
    x^4 - 306/175*x^3*y + 23409/30625*x^2*y^2 - 24354724/11178405*x^3*z - 
        6071032174/652073625*x^2*y*z + 65942/6125*x*y^2*z + 
        218879437501894/124956738344025*x^2*z^2 + 25554108242/1173732525*x*y*z^2
        - 89759/11025*y^2*z^2 - 5126645047276/8330449222935*x*z^3 - 
        821956042/78248835*y*z^3 + 44309829001/555363281529*z^4,
    x^4 - 46/27*x^3*y + 529/729*x^2*y^2 + 2813354/558495*x^3*z + 
        34285756/15079365*x^2*y*z - 107666/76545*x*y^2*z + 
        1870742142529/311916665025*x^2*z^2 + 255190534/1583333325*x*y*z^2 + 
        4332241/8037225*y^2*z^2 - 163208292248/187149999015*x*z^3 + 
        63532736/189999999*y*z^3 + 3365392144/112289999409*z^4,
    x^4 - 19073/9750*x^3*y + 363779329/380250000*x^2*y^2 + 
        205703471/558675750*x^3*z + 4705089332876/1361772140625*x^2*y*z - 
        2465356957/760500000*x*y^2*z - 3478832914226940659/1248474374552250000*\
        x^2*z^2 - 245125835048303/43576708500000*x*y*z^2 + 
        22382759881/6084000000*y^2*z^2 - 648240169083694889/1248474374552250000\
        *x*z^3 + 408842109923081/87153417000000*y*z^3 + 
        9930900679012919281/4993897498209000000*z^4,
    x^4 - 229/137*x^3*y + 52441/75076*x^2*y^2 - 22201520/4973511*x^3*z + 
        3665963551/681371007*x^2*y*z - 149827/18769*x*y^2*z + 
        56777274212878/24735811667121*x^2*z^2 - 2148384029/681371007*x*y*z^2 + 
        358045/18769*y^2*z^2 + 148313946333520/24735811667121*x*z^3 + 
        10048771081/681371007*y*z^3 + 44627089483201/24735811667121*z^4,
    x^4 + 18/67*x^3*y + 81/4489*x^2*y^2 - 4597809/1052905*x^3*z + 
        1119446144/211633905*x^2*y*z + 49943/67335*x*y^2*z + 
        24523694747581/4434435756100*x^2*z^2 - 2479334093/2116339050*x*y*z^2 + 
        858043/1346700*y^2*z^2 - 738826526019/443443575610*x*z^3 - 
        55421957/60466830*y*z^3 + 25821597481/177377430244*z^4,
    x^4 + 649/1788*x^3*y + 421201/12787776*x^2*y^2 + 3877677/75899557*x^3*z - 
        32671590013/203562611874*x^2*y*z - 4560923/4262592*x*y^2*z - 
        15443857808355659/23042971011184996*x^2*z^2 + 
        1328527446611/1628500894992*x*y*z^2 + 34661201/51151104*y^2*z^2 - 
        197447128826517/11521485505592498*x*z^3 - 
        890500603043/1628500894992*y*z^3 + 2592736515804241/23042971011184996*z\
        ^4,
    x^4 - 10321/848*x^3*y + 106523041/2876416*x^2*y^2 - 
        946271716/234927535*x^3*z + 6190264068793/199218549680*x^2*y*z - 
        91662677/1438208*x*y^2*z + 332049346954884894/55190946701176225*x^2*z^2 
        - 5003314068421/199218549680*x*y*z^2 + 80809369/2876416*y^2*z^2 - 
        217894523742567724/55190946701176225*x*z^3 + 
        1260377796907/199218549680*y*z^3 + 53022586876462921/55190946701176225*\
        z^4,
    x^4 + 146/31*x^3*y + 5329/961*x^2*y^2 + 611054/866295*x^3*z + 
        151041374/26855145*x^2*y*z + 58304/4805*x*y^2*z - 
        1009162642511/750467027025*x^2*z^2 - 427298144/134275725*x*y*z^2 + 
        235056/24025*y^2*z^2 - 4800440224/9265025025*x*z^3 - 
        235700576/44758575*y*z^3 + 61716736/114383025*z^4,
    x^4 - 1936/305*x^3*y + 937024/93025*x^2*y^2 - 1114317/449509*x^3*z - 
        2153555968/411300735*x^2*y*z + 1306384/55815*x*y^2*z + 
        2677753273879/808233364324*x^2*z^2 + 1244814464/82260147*x*y*z^2 + 
        28787/11163*y^2*z^2 - 1779959831535/808233364324*x*z^3 - 
        105006655/164520294*y*z^3 + 2551542996025/3232933457296*z^4,
    x^4 - 1169/19*x^3*y + 1366561/1444*x^2*y^2 - 210036396/69902653*x^3*z + 
        864761811941/5312601628*x^2*y*z - 2330677/1444*x*y^2*z + 
        16380130175991670/4886380896438409*x^2*z^2 - 
        381696885929/2656300814*x*y*z^2 + 496763/722*y^2*z^2 - 
        8039533934632956/4886380896438409*x*z^3 + 224852062309/5312601628*y*z^3 
        + 1465118088013321/4886380896438409*z^4,
    x^4 - 1267/100*x^3*y + 1605289/40000*x^2*y^2 + 502188/2934575*x^3*z - 
        19095243/20961250*x^2*y*z + 480207/10000*x*y^2*z - 
        12854105795564/8611730430625*x^2*z^2 + 1991530349/73364375*x*y*z^2 + 
        114041/10000*y^2*z^2 - 157891924704/1230247204375*x*z^3 + 
        167726166/10480625*y*z^3 + 98852390464/175749600625*z^4,
    x^4 - 62/75*x^3*y + 961/5625*x^2*y^2 + 112237/226845*x^3*z - 
        27115778/17013375*x^2*y*z + 28561/16875*x*y^2*z - 
        295636514771/205834616100*x^2*z^2 - 269479711/102080250*x*y*z^2 + 
        416161/202500*y^2*z^2 - 114379492093/308751924150*x*z^3 - 
        744793999/306240750*y*z^3 + 1038542389921/1852511544900*z^4,
    x^4 + 313/267*x^3*y + 97969/285156*x^2*y^2 + 105899/47259*x^3*z + 
        71402269/25236306*x^2*y*z + 825881/427734*x*y^2*z - 
        193283315/8933652324*x^2*z^2 - 80720527/37854459*x*y*z^2 + 
        19656949/2566404*y^2*z^2 - 19172272657/13400478486*x*z^3 - 
        1582853249/227126754*y*z^3 + 32776567849/80402870916*z^4,
    x^4 + 449/294*x^3*y + 201601/345744*x^2*y^2 - 952208/3666915*x^3*z + 
        845784113/1078073010*x^2*y*z + 1575859/288120*x*y^2*z - 
        19179541222274/13446265617225*x^2*z^2 - 6926258489/1796788350*x*y*z^2 + 
        4321321/960400*y^2*z^2 + 839886496528/4482088539075*x*z^3 - 
        1811610281/598929450*y*z^3 + 777996325681/1494029513025*z^4,
    x^4 + 806/5*x^3*y + 162409/25*x^2*y^2 - 27922/29525*x^3*z - 
        47115614/147625*x^2*y*z - 167192/25*x*y^2*z + 
        164439721/871725625*x^2*z^2 + 29525152/147625*x*y*z^2 + 43024/25*y^2*z^2
        + 14407752/871725625*x*z^3 - 5959584/147625*y*z^3 + 
        266256/871725625*z^4,
    x^4 + 829/354*x^3*y + 687241/501264*x^2*y^2 - 32036316/15915545*x^3*z - 
        198101399227/24414446030*x^2*y*z - 22367779/3258216*x*y^2*z - 
        212648828904986/253304572647025*x^2*z^2 + 
        251516176553/24414446030*x*y*z^2 + 64961029/6516432*y^2*z^2 + 
        94451100683316/50660914529405*x*z^3 - 304077236579/73243338090*y*z^3 + 
        8692183959001/10132182905881*z^4,
    x^4 - 5045/2646*x^3*y + 25452025/28005264*x^2*y^2 - 497396/270235*x^3*z + 
        215361193/143008362*x^2*y*z + 5270645/14002632*x*y^2*z + 
        46747261054/73026955225*x^2*z^2 - 881652481/715041810*x*y*z^2 + 
        11635009/28005264*y^2*z^2 + 2779946244/14605391045*x*z^3 - 
        19488193/143008362*y*z^3 + 31236921/2921078209*z^4,
    x^4 - 1121/60*x^3*y + 1256641/14400*x^2*y^2 - 1141111/632410*x^3*z + 
        3547514969/75889200*x^2*y*z - 263171/1800*x*y^2*z + 
        1227874202481/1599769632400*x^2*z^2 - 369019219/9486150*x*y*z^2 + 
        54601/900*y^2*z^2 + 8374613629/199971204050*x*z^3 + 
        51104449/4743075*y*z^3 + 53860921/99985602025*z^4,
    x^4 - 3698/1353*x^3*y + 3418801/1830609*x^2*y^2 + 67527778/14076735*x^3*z - 
        268280097332/19045822455*x^2*y*z + 56037386/5491827*x*y^2*z + 
        2184065328977041/198154468260225*x^2*z^2 - 
        2170754093098/57137467365*x*y*z^2 + 484428649/16475481*y^2*z^2 + 
        834750840302576/66051489420075*x*z^3 - 49753470768/2116202495*y*z^3 + 
        152808956774464/22017163140025*z^4,
    x^4 - 791/435*x^3*y + 625681/756900*x^2*y^2 + 4779943/32567*x^3*z - 
        1886212418/14166645*x^2*y*z - 378269/756900*x*y^2*z + 
        22856176993893/4242437956*x^2*z^2 - 42635261/56666580*x*y*z^2 + 
        46124281/3027600*y^2*z^2 + 305357098669/2121218978*x*z^3 - 
        52122118111/56666580*y*z^3 + 4081037689/4242437956*z^4,
    x^4 + 46/7*x^3*y + 529/49*x^2*y^2 + 12462/2485*x^3*z + 
        7990214/330505*x^2*y*z + 1004/49*x*y^2*z + 826018639/117329275*x^2*z^2 +
        10021052/330505*x*y*z^2 + 4436/245*y^2*z^2 + 221499588/117329275*x*z^3 +
        9577928/1652525*y*z^3 + 315915076/2229256225*z^4,
    x^4 + 926/189*x^3*y + 214369/35721*x^2*y^2 - 2207653/140025*x^3*z - 
        420108242/26464725*x^2*y*z - 701713/35721*x*y^2*z + 
        6429962897209/78428002500*x^2*z^2 + 1080636547/52929450*x*y*z^2 + 
        2347825/142884*y^2*z^2 - 3066968684332/19607000625*x*z^3 - 
        332893634/26464725*y*z^3 + 1929998891536/19607000625*z^4,
    x^4 + 74/15*x^3*y + 1369/225*x^2*y^2 - 91858/20511*x^3*z - 
        844972/61533*x^2*y*z - 5218/675*x*y^2*z + 3056971849/420701121*x^2*z^2 +
        11956826/922995*x*y*z^2 + 6049/2025*y^2*z^2 - 
        6365024536/1262103363*x*z^3 - 10746104/2768985*y*z^3 + 
        4801381264/3786310089*z^4,
    x^4 - 34/109*x^3*y + 289/11881*x^2*y^2 - 10434510/109981*x^3*z + 
        2095635752/35963787*x^2*y*z - 444982/178215*x*y^2*z + 
        28034368883773/12095820361*x^2*z^2 - 44135877022/179818935*x*y*z^2 + 
        6238867/891075*y^2*z^2 - 38643727797540/12095820361*x*z^3 + 
        33209393212/179818935*y*z^3 + 13715571530116/12095820361*z^4,
    x^4 - 814/771*x^3*y + 165649/594441*x^2*y^2 + 7364655/15547729*x^3*z - 
        4100312602/3995766353*x^2*y*z + 367091/594441*x*y^2*z - 
        939097680194567/966927508229764*x^2*z^2 - 15253461609/7991532706*x*y*z^2
        + 4067233/2377764*y^2*z^2 - 58815467832555/241731877057441*x*z^3 - 
        10780390831/11987299059*y*z^3 + 63779086964761/241731877057441*z^4,
    x^4 - 340/37*x^3*y + 28900/1369*x^2*y^2 - 1840087/463943*x^3*z + 
        1078857716/51497673*x^2*y*z - 128932/4107*x*y^2*z + 
        4852306663441/860972428996*x^2*z^2 - 681388993/51497673*x*y*z^2 + 
        54739/4107*y^2*z^2 - 726996292656/215243107249*x*z^3 + 
        107698952/51497673*y*z^3 + 156094527744/215243107249*z^4,
    x^4 - 116/65*x^3*y + 3364/4225*x^2*y^2 + 55847/285*x^3*z - 
        917058/6175*x^2*y*z - 41264/4225*x*y^2*z + 3393780169/324900*x^2*z^2 - 
        154124/975*x*y*z^2 + 776416/4225*y^2*z^2 + 2244435083/27075*x*z^3 - 
        126675632/6175*y*z^3 + 1615155721/9025*z^4,
    x^4 - 161/148*x^3*y + 25921/87616*x^2*y^2 + 2501536/1157397*x^3*z - 
        262947391/42823689*x^2*y*z + 98099/21904*x*y^2*z - 
        418385654696/1339567815609*x^2*z^2 - 550730173/42823689*x*y*z^2 + 
        156649/21904*y^2*z^2 - 2142765706880/1339567815609*x*z^3 - 
        425494720/42823689*y*z^3 + 733729296400/1339567815609*z^4,
    x^4 + 61/142*x^3*y + 3721/80656*x^2*y^2 + 5351878/2209307*x^3*z + 
        9672181171/313721594*x^2*y*z - 1253369/40328*x*y^2*z + 
        6680399213289/4881037420249*x^2*z^2 + 23622506039/313721594*x*y*z^2 - 
        3005015/80656*y^2*z^2 - 581684916064/4881037420249*x*z^3 + 
        14682013795/313721594*y*z^3 + 11813081344/4881037420249*z^4,
    x^4 + 106/35*x^3*y + 2809/1225*x^2*y^2 - 18302/16095*x^3*z + 
        3506956/563325*x^2*y*z + 16738/3675*x*y^2*z - 
        188329079/259049025*x^2*z^2 + 2861122/1689975*x*y*z^2 + 
        20329/11025*y^2*z^2 + 154688504/259049025*x*z^3 - 86264/241425*y*z^3 + 
        71436304/259049025*z^4,
    x^4 - 458/39*x^3*y + 52441/1521*x^2*y^2 - 1137424/195465*x^3*z + 
        434538956/7623135*x^2*y*z - 204116/1521*x*y^2*z + 
        476994552244/38206566225*x^2*z^2 - 677612056/7623135*x*y*z^2 + 
        978164/7605*y^2*z^2 - 89358304288/7641313245*x*z^3 + 
        1686729352/38115675*y*z^3 + 6171987844/1528262649*z^4,
    x^4 - 5102/2431*x^3*y + 6507601/5909761*x^2*y^2 - 587770/385339*x^3*z + 
        5715372856/936759109*x^2*y*z - 24393834/5909761*x*y^2*z + 
        27650436405/148486144921*x^2*z^2 - 284243358/49303111*x*y*z^2 + 
        18847449/5909761*y^2*z^2 + 2356957700/7815060259*x*z^3 + 
        86270260/49303111*y*z^3 + 16080100/411318961*z^4,
    x^4 - 3214/2175*x^3*y + 2582449/4730625*x^2*y^2 - 512728/733439*x^3*z + 
        809737098/531743275*x^2*y*z - 24969866/33114375*x*y^2*z - 
        242607920714/537932766721*x^2*z^2 - 1370367378/744440585*x*y*z^2 + 
        400419961/231800625*y^2*z^2 + 107772861960/537932766721*x*z^3 - 
        3623653966/11166608775*y*z^3 + 44181938025/537932766721*z^4,
    x^4 - 4367/871*x^3*y + 19070689/3034564*x^2*y^2 - 125496296/45003431*x^3*z +
        46768327420/3563453491*x^2*y*z - 9003489/758641*x*y^2*z + 
        4814798334409152/2025308801771761*x^2*z^2 - 
        432115589556/39197988401*x*y*z^2 + 3708849/758641*y^2*z^2 - 
        111222849278144/184118981979251*x*z^3 + 11113934464/3563453491*y*z^3 + 
        785463877696/16738089270841*z^4,
    x^4 - 81/11*x^3*y + 6561/484*x^2*y^2 - 134305/16777*x^3*z - 
        392858/29139*x^2*y*z - 17753/1452*x*y^2*z + 
        21763736293/1125870916*x^2*z^2 + 3510595/201324*x*y*z^2 + 
        15931/5808*y^2*z^2 - 7456747905/562935458*x*z^3 - 9747191/2214564*y*z^3 
        + 3082581441/1125870916*z^4,
    x^4 + 57528/2561*x^3*y + 827367696/6558721*x^2*y^2 - 
        296494295/40463012*x^3*z - 3586429715436/25906443433*x^2*y*z - 
        4133950008/6558721*x*y^2*z + 125715220191281313/6549021360448576*x^2*z^\
        2 + 28017536760541/103625773732*x*y*z^2 + 5126474305/6558721*y^2*z^2 - 
        69256881109048895/3274510680224288*x*z^3 - 
        16885367073799/103625773732*y*z^3 + 54562363802546161/6549021360448576*\
        z^4,
    x^4 - 127/69*x^3*y + 16129/19044*x^2*y^2 - 1196965/307464*x^3*z + 
        118109215/21215016*x^2*y*z - 78209/38088*x*y^2*z + 
        1446914059897/378136445184*x^2*z^2 - 723437735/169720128*x*y*z^2 + 
        293689/304704*y^2*z^2 - 13809385205/189068222592*x*z^3 + 
        161379731/169720128*y*z^3 + 133102369/378136445184*z^4,
    x^4 + 521/122*x^3*y + 271441/59536*x^2*y^2 + 9114356/13182771*x^3*z + 
        4226807755/1608298062*x^2*y*z + 150985/89304*x*y^2*z - 
        45220202677046/173785451238441*x^2*z^2 - 1747539205/4824894186*x*y*z^2 +
        736225/535824*y^2*z^2 - 3258792416020/24826493034063*x*z^3 - 
        3317257225/4824894186*y*z^3 + 127838427025/3546641862009*z^4,
    x^4 - 30407/12800*x^3*y + 924585649/655360000*x^2*y^2 + 
        232622409/49913020*x^3*z + 16101524675863/1277773312000*x^2*y*z - 
        1775205191/327680000*x*y^2*z - 22123416728510399/9965238262081600*x^2*z\
        ^2 - 17430205976197/638886656000*x*y*z^2 + 3122458369/655360000*y^2*z^2 
        - 88826232050095839/4982619131040800*x*z^3 + 
        22908084690263/1277773312000*y*z^3 + 
        145807338370147441/9965238262081600*z^4,
    x^4 - 56/13*x^3*y + 784/169*x^2*y^2 - 161/16*x^3*z + 745/26*x^2*y*z - 
        5676/169*x*y^2*z + 49777/1024*x^2*z^2 - 9843/208*x*y*z^2 + 
        44073/676*y^2*z^2 - 240051/2048*x*z^3 - 45423/1664*y*z^3 + 
        2223081/16384*z^4,
    x^4 - 3191/1524*x^3*y + 10182481/9290304*x^2*y^2 - 69800240/19039967*x^3*z +
        119278267855/29016909708*x^2*y*z - 13785703/4645152*x*y^2*z + 
        1095209408386446/362520343361089*x^2*z^2 - 
        45739638167/29016909708*x*y*z^2 + 18309409/9290304*y^2*z^2 + 
        225107937807440/362520343361089*x*z^3 + 11684909297/29016909708*y*z^3 + 
        10400824950961/362520343361089*z^4,
    x^4 - 4966/2385*x^3*y + 6165289/5688225*x^2*y^2 - 50700640/7725757*x^3*z + 
        1016786184/157486585*x^2*y*z - 30219956/5688225*x*y^2*z + 
        133329427128078/59687321223049*x^2*z^2 - 23498443406/6141976815*x*y*z^2 
        + 34081531/5688225*y^2*z^2 + 128552537433440/4591332401773*x*z^3 + 
        5487100208/283475853*y*z^3 + 6428866741441/353179415521*z^4,
    x^4 - 968/127*x^3*y + 234256/16129*x^2*y^2 + 21580928/49390935*x^3*z - 
        1264046978/114048159*x^2*y*z + 563706/16129*x*y^2*z - 
        7850613626953154/2439464460174225*x^2*z^2 + 
        57350559176/6272648745*x*y*z^2 + 1646902/48387*y^2*z^2 - 
        31646639694976/44353899275895*x*z^3 + 6348010406/342144477*y*z^3 + 
        2150378817889/806434532289*z^4,
    x^4 - 56/13*x^3*y + 784/169*x^2*y^2 - 238/47*x^3*z + 25516/611*x^2*y*z - 
        6608/169*x*y^2*z + 21399/2209*x^2*z^2 - 54404/611*x*y*z^2 + 
        7840/169*y^2*z^2 - 18326/2209*x*z^3 + 33320/611*y*z^3 + 5929/2209*z^4,
    x^4 - 157/80*x^3*y + 24649/25600*x^2*y^2 - 8968/3415*x^3*z + 
        1526297/273200*x^2*y*z - 42447/12800*x*y^2*z + 8884566/11662225*x^2*z^2 
        - 1509597/273200*x*y*z^2 + 74841/25600*y^2*z^2 + 14734424/11662225*x*z^3
        + 742703/273200*y*z^3 + 2699449/11662225*z^4,
    x^4 - 467/120*x^3*y + 218089/57600*x^2*y^2 + 882095/3238236*x^3*z - 
        52857378827/777176640*x^2*y*z + 1954793/28800*x*y^2*z - 
        83676048855887/41944689566784*x^2*z^2 - 10619543939/77717664*x*y*z^2 + 
        3953641/57600*y^2*z^2 - 5751323792935/20972344783392*x*z^3 - 
        56836529339/777176640*y*z^3 + 42511351925329/41944689566784*z^4,
    x^4 - 1958/819*x^3*y + 958441/670761*x^2*y^2 - 2354/48537*x^3*z + 
        411581764/39751803*x^2*y*z - 4994266/670761*x*y^2*z - 
        4187940215/2355840369*x^2*z^2 - 87437290/5678829*x*y*z^2 + 
        4514689/670761*y^2*z^2 + 101589224/2355840369*x*z^3 + 
        290738104/39751803*y*z^3 + 1862440336/2355840369*z^4,
    x^4 - 9/14*x^3*y + 81/784*x^2*y^2 - 176620/231*x^3*z + 48674/539*x^2*y*z + 
        1041/2156*x*y^2*z + 7840456348/53361*x^2*z^2 - 9375083/17787*x*y*z^2 + 
        9241/23716*y^2*z^2 - 58593331760/195657*x*z^3 + 33761696/65219*y*z^3 + 
        110056735504/717409*z^4,
    x^4 + 3482/121*x^3*y + 3031081/14641*x^2*y^2 - 388482/116479*x^3*z + 
        1532861656/14093959*x^2*y*z + 2759606/14641*x*y^2*z + 
        10432013557/13567357441*x^2*z^2 + 1143739438/14093959*x*y*z^2 + 
        625969/14641*y^2*z^2 + 45521543796/13567357441*x*z^3 + 
        240632948/14093959*y*z^3 + 13730683684/13567357441*z^4,
    x^4 - 3469/1325*x^3*y + 12033961/7022500*x^2*y^2 + 1211948/153435*x^3*z - 
        1006384523/67767125*x^2*y*z + 44749937/10533750*x*y^2*z + 
        222121774046/23542299225*x^2*z^2 - 3400221637/203301375*x*y*z^2 + 
        567643129/63202500*y^2*z^2 - 1718962809956/70626897675*x*z^3 + 
        56363717389/1829712375*y*z^3 + 2011708212409/211880693025*z^4,
    x^4 + 386/195*x^3*y + 37249/38025*x^2*y^2 + 66627463/4068389*x^3*z - 
        407958731356/5553350985*x^2*y*z + 785479/266175*x*y^2*z + 
        466391873292693/66207156221284*x^2*z^2 + 
        3621279604771/11106701970*x*y*z^2 - 18606713/1064700*y^2*z^2 - 
        16265614029574973/33103578110642*x*z^3 - 831144623483/2221340394*y*z^3 +
        59598368573428441/66207156221284*z^4,
    x^4 - 725/44*x^3*y + 525625/7744*x^2*y^2 + 4490321/352830*x^3*z - 
        1980012163/31049040*x^2*y*z + 714671/1936*x*y^2*z + 
        32455148019121/497956035600*x^2*z^2 + 184087151/7762260*x*y*z^2 + 
        985513/1936*y^2*z^2 + 19554660935887/124489008900*x*z^3 + 
        1689871421/7762260*y*z^3 + 18964692393409/124489008900*z^4,
    x^4 - 10/3*x^3*y + 25/9*x^2*y^2 - 17743/2724*x^3*z + 86975/4086*x^2*y*z - 
        205/12*x*y^2*z + 442362625/29680704*x^2*z^2 - 791951/21792*x*y*z^2 + 
        1249/64*y^2*z^2 - 34616593/2473392*x*z^3 + 66223/3632*y*z^3 + 
        3806401/824464*z^4,
    x^4 - 533/220*x^3*y + 284089/193600*x^2*y^2 - 146729/73520*x^3*z + 
        386701523/32348800*x^2*y*z - 1417993/193600*x*y^2*z - 
        36523021839/21620761600*x^2*z^2 - 755669531/32348800*x*y*z^2 + 
        6609241/774400*y^2*z^2 + 57929636303/21620761600*x*z^3 + 
        2264680787/129395200*y*z^3 + 155872567249/86483046400*z^4,
    x^4 - 94/33*x^3*y + 2209/1089*x^2*y^2 - 112949/29216*x^3*z + 
        165849/20086*x^2*y*z - 6481/2178*x*y^2*z + 
        15613515897/3414298624*x^2*z^2 - 9043267/1285504*x*y*z^2 + 
        40489/17424*y^2*z^2 - 2760360611/1707149312*x*z^3 + 
        1511963/3856512*y*z^3 + 597264721/3414298624*z^4,
    x^4 + 28/19*x^3*y + 196/361*x^2*y^2 + 11031/703*x^3*z - 149893/13357*x^2*y*z
        + 193/722*x*y^2*z + 129480637/1976836*x^2*z^2 - 600535/53428*x*y*z^2 + 
        505/5776*y^2*z^2 + 30588963/988418*x*z^3 - 38639/53428*y*z^3 + 
        7689529/1976836*z^4,
    x^4 - 53/15*x^3*y + 2809/900*x^2*y^2 - 28868/39705*x^3*z + 
        53773/595575*x^2*y*z + 757/1350*x*y^2*z - 1332134234/1576487025*x^2*z^2 
        + 2159243/1786725*x*y*z^2 - 8639/8100*y^2*z^2 + 
        560010332/1576487025*x*z^3 - 493771/1786725*y*z^3 + 
        376321201/1576487025*z^4,
    x^4 - 146/77*x^3*y + 5329/5929*x^2*y^2 + 248994/40315*x^3*z + 
        37436891/3104255*x^2*y*z - 10763/29645*x*y^2*z + 
        25500322223/3250598450*x^2*z^2 - 171047431/31042550*x*y*z^2 + 
        23941/592900*y^2*z^2 - 16980519321/3250598450*x*z^3 + 
        2765921/8869300*y*z^3 + 18603050449/26004787600*z^4,
    x^4 - 1378/707*x^3*y + 474721/499849*x^2*y^2 - 3725023/42218*x^3*z + 
        2608870045/29848126*x^2*y*z - 405361/499849*x*y^2*z + 
        13581919807789/7129438096*x^2*z^2 + 65440/71407*x*y*z^2 - 
        20021279/1999396*y^2*z^2 + 12964812175695/7129438096*x*z^3 - 
        74707680855/119392504*y*z^3 + 12113636616225/28517752384*z^4,
    x^4 - 6947/806*x^3*y + 48260809/2598544*x^2*y^2 - 35750/549909*x^3*z - 
        6410414807/221613327*x^2*y*z + 55193107/1299272*x*y^2*z - 
        807930133667/302399908281*x^2*z^2 - 16548348655/443226654*x*y*z^2 + 
        63501985/2598544*y^2*z^2 + 26272460500/302399908281*x*z^3 - 
        301077794/17047179*y*z^3 + 540069191236/302399908281*z^4,
    x^4 - 2168/259*x^3*y + 1175056/67081*x^2*y^2 - 50297/11988*x^3*z + 
        15668666/776223*x^2*y*z - 2283908/67081*x*y^2*z + 
        3775772977/574848576*x^2*z^2 - 94545919/6209784*x*y*z^2 + 
        4447249/268324*y^2*z^2 - 40841164/8982009*x*z^3 + 379052/110889*y*z^3 + 
        10549504/8982009*z^4,
    x^4 - 239/130*x^3*y + 57121/67600*x^2*y^2 - 399732/100451*x^3*z + 
        15713161/2611726*x^2*y*z - 74649/33800*x*y^2*z + 
        51892653582/10090403401*x^2*z^2 - 100914843/13058630*x*y*z^2 + 
        230481/67600*y^2*z^2 - 23769263916/10090403401*x*z^3 + 
        48879963/13058630*y*z^3 + 3535848369/10090403401*z^4,
    x^4 - 458/299*x^3*y + 52441/89401*x^2*y^2 - 341393/169418*x^3*z + 
        78347409/25327991*x^2*y*z - 370061/178802*x*y^2*z + 
        108858958593/114809834896*x^2*z^2 - 190025721/202623928*x*y*z^2 + 
        2347921/1430416*y^2*z^2 + 968531941/14351229362*x*z^3 - 
        16775566/25327991*y*z^3 + 8048569/7175614681*z^4,
    x^4 - 11/3*x^3*y + 121/36*x^2*y^2 - 28862/168651*x^3*z - 
        161570/505953*x^2*y*z + 367/378*x*y^2*z - 
        28542469247/28443159801*x^2*z^2 + 17686847/10625013*x*y*z^2 + 
        28729/15876*y^2*z^2 + 7380359744/85329479403*x*z^3 + 
        36982216/31875039*y*z^3 + 65388626944/255988438209*z^4,
    x^4 + 239/80*x^3*y + 57121/25600*x^2*y^2 - 17265/1309*x^3*z - 
        4583239/209440*x^2*y*z - 120253/12800*x*y^2*z + 
        400302653/6853924*x^2*z^2 + 633953/10472*x*y*z^2 + 289129/25600*y^2*z^2 
        - 48152085/489566*x*z^3 - 1613669/29920*y*z^3 + 7778521/139876*z^4,
    x^4 + 11*x^3*y + 121/4*x^2*y^2 - 2116/473*x^3*z - 71959/4257*x^2*y*z - 
        809/18*x*y^2*z + 14672782/2013561*x^2*z^2 + 80083/12771*x*y*z^2 + 
        1811/108*y^2*z^2 - 10285876/2013561*x*z^3 + 6443/38313*y*z^3 + 
        23629321/18122049*z^4,
    x^4 - 144/229*x^3*y + 5184/52441*x^2*y^2 - 33963310/49913527*x^3*z - 
        6847740710896/377196523539*x^2*y*z + 24728656/1730553*x*y^2*z - 
        1740859274766381/4982720355159458*x^2*z^2 + 
        10024805799281/377196523539*x*y*z^2 - 14856991/1730553*y^2*z^2 + 
        788501595815215/4982720355159458*x*z^3 - 
        7054500362297/754393047078*y*z^3 + 2155981978097809/39861762841275664*z\
        ^4,
    x^4 - 682/287*x^3*y + 116281/82369*x^2*y^2 - 57018/221441*x^3*z - 
        17490730/5777597*x^2*y*z + 286352/82369*x*y^2*z - 
        47289536703/49036116481*x^2*z^2 - 219039376/63553567*x*y*z^2 + 
        260632/82369*y^2*z^2 + 6192839016/49036116481*x*z^3 - 
        91309752/63553567*y*z^3 + 11796566544/49036116481*z^4,
    x^4 - 103/84*x^3*y + 10609/28224*x^2*y^2 - 914/7*x^3*z + 
        1097485/25284*x^2*y*z - 11539/7056*x*y^2*z + 8934783/2107*x^2*z^2 - 
        1078990/6321*x*y*z^2 + 4729/7056*y^2*z^2 + 2985124/2107*x*z^3 + 
        110683/2107*y*z^3 + 10666756/90601*z^4,
    x^4 + 2/3*x^3*y + 1/9*x^2*y^2 + 7379/171*x^3*z - 60830/513*x^2*y*z + 
        61/3*x*y^2*z + 15521149/116964*x^2*z^2 + 370715/342*x*y*z^2 - 
        599/4*y^2*z^2 - 139987009/19494*x*z^3 - 233809/114*y*z^3 + 
        359898841/12996*z^4,
    x^4 + 1646/163*x^3*y + 677329/26569*x^2*y^2 - 1839044/590223*x^3*z + 
        2852530616/96206349*x^2*y*z - 9076172/79707*x*y^2*z + 
        1214048867008/348363189729*x^2*z^2 - 13956047752/288619047*x*y*z^2 + 
        18834724/239121*y^2*z^2 - 574138502536/348363189729*x*z^3 + 
        4249576256/288619047*y*z^3 + 97465093636/348363189729*z^4,
    x^4 - 4348/1215*x^3*y + 4726276/1476225*x^2*y^2 - 26910061/5737203*x^3*z + 
        349703779492/6970701645*x^2*y*z - 67085516/1476225*x*y^2*z + 
        1082001824091949/131661993052836*x^2*z^2 - 
        821302249409/6970701645*x*y*z^2 + 86657089/1476225*y^2*z^2 - 
        419619856488559/65830996526418*x*z^3 + 531947209237/6970701645*y*z^3 + 
        243154716109561/131661993052836*z^4,
    x^4 + 126/209*x^3*y + 3969/43681*x^2*y^2 + 77258/54511*x^3*z - 
        28846292/7249963*x^2*y*z - 298422/305767*x*y^2*z - 
        10144372551/2971449121*x^2*z^2 + 735118606/79749593*x*y*z^2 + 
        414207/305767*y^2*z^2 - 8246209888/2971449121*x*z^3 - 
        477290784/79749593*y*z^3 + 11392573696/2971449121*z^4,
    x^4 + 2249/1688*x^3*y + 5058001/11397376*x^2*y^2 - 465779528/160864079*x^3*z
        - 5971140523201/814615696056*x^2*y*z - 62200633/17096064*x*y^2*z + 
        3297369260118246/25877251912518241*x^2*z^2 + 
        10958934887663/814615696056*x*y*z^2 + 241023563/34192128*y^2*z^2 + 
        73748398096194200/25877251912518241*x*z^3 - 
        4838469583675/814615696056*y*z^3 + 25069425972225625/25877251912518241*\
        z^4,
    x^4 - 878/21*x^3*y + 192721/441*x^2*y^2 + 2811245/83766*x^3*z + 
        97740367/125649*x^2*y*z - 94379/294*x*y^2*z + 
        7547045370937/28066971024*x^2*z^2 - 1304490791/2345448*x*y*z^2 + 
        46201/784*y^2*z^2 - 497891168215/2338914252*x*z^3 + 
        39634921/390908*y*z^3 + 31366889449/779638084*z^4,
    x^4 + 16696/7085*x^3*y + 69689104/50197225*x^2*y^2 - 8478608/4509221*x^3*z -
        332622055492/31947830785*x^2*y*z - 410583824/50197225*x*y^2*z - 
        43729388433978/20333074026841*x^2*z^2 + 108841951980/6389566157*x*y*z^2 
        + 646133536/50197225*y^2*z^2 + 58007727773456/20333074026841*x*z^3 - 
        286509162904/31947830785*y*z^3 + 46808270505649/20333074026841*z^4,
    x^4 + 198/125*x^3*y + 9801/15625*x^2*y^2 + 921/80*x^3*z - 
        38829/10000*x^2*y*z - 31814/15625*x*y^2*z + 580401/25600*x^2*z^2 + 
        116013/5000*x*y*z^2 + 32449/15625*y^2*z^2 - 770877/12800*x*z^3 - 
        152181/10000*y*z^3 + 700569/25600*z^4,
    x^4 + 2051/333*x^3*y + 4206601/443556*x^2*y^2 + 59788/17871*x^3*z - 
        17042428/850149*x^2*y*z - 1770370/110889*x*y^2*z - 
        74099156/319372641*x^2*z^2 + 137554792/5951043*x*y*z^2 + 
        725188/110889*y^2*z^2 - 231259984/45624663*x*z^3 - 6916432/850149*y*z^3 
        + 14961424/6517809*z^4,
    x^4 + 3805/754*x^3*y + 14478025/2274064*x^2*y^2 - 10569760/1481291*x^3*z - 
        15341860931/558446707*x^2*y*z - 24529471/1137032*x*y^2*z + 
        40145834644798/2194223026681*x^2*z^2 + 55709623415/1116893414*x*y*z^2 + 
        41254633/2274064*y^2*z^2 - 43583232116640/2194223026681*x*z^3 - 
        2396537862/79778101*y*z^3 + 17002336845321/2194223026681*z^4,
    x^4 - 64/17*x^3*y + 1024/289*x^2*y^2 + 591914/53499*x^3*z - 
        39266072/909483*x^2*y*z + 36488/867*x*y^2*z + 
        79866413728/2862143001*x^2*z^2 - 365117014/2728449*x*y*z^2 + 
        399889/2601*y^2*z^2 - 42729975703/2862143001*x*z^3 + 
        82141277/2728449*y*z^3 + 20845295641/11448572004*z^4,
    x^4 - 353/578*x^3*y + 124609/1336336*x^2*y^2 + 334941790/79550429*x^3*z + 
        8216525855/68970221943*x^2*y*z - 5121869/14031528*x*y^2*z + 
        2944197972662137/6328270754084041*x^2*z^2 - 
        3836268995353/965583107202*x*y*z^2 + 270783203/196441392*y^2*z^2 - 
        52845787916944440/6328270754084041*x*z^3 + 
        126026676404/482791553601*y*z^3 + 24893277535873296/6328270754084041*z^\
        4,
    x^4 + 14/3*x^3*y + 49/9*x^2*y^2 + 293/870*x^3*z + 2093/1305*x^2*y*z - 
        1/6*x*y^2*z - 545771/3027600*x^2*z^2 - 1031/3480*x*y*z^2 + 53/80*y^2*z^2
        - 35453/1009200*x*z^3 - 103/400*y*z^3 + 14641/1345600*z^4,
    x^4 - 6259/2756*x^3*y + 39175081/30382144*x^2*y^2 - 20920006/7276423*x^3*z +
        16552516425/1823074708*x^2*y*z - 45562253/7595536*x*y^2*z + 
        153615554111013/52946331674929*x^2*z^2 - 52113758376/5013455447*x*y*z^2 
        + 38542529/7595536*y^2*z^2 - 5776724936804/4813302879539*x*z^3 + 
        17306945671/5013455447*y*z^3 + 76249985956/437572989049*z^4,
    x^4 - 98/55*x^3*y + 2401/3025*x^2*y^2 - 29634724/14699795*x^3*z + 
        81129448654/16978263225*x^2*y*z - 43774/12705*x*y^2*z + 
        209108395314094/216083973042025*x^2*z^2 - 4079247642/1131884215*x*y*z^2 
        + 2463/847*y^2*z^2 + 2105873122164/43216794608405*x*z^3 + 
        135546162/226376843*y*z^3 + 5049665721/8643358921681*z^4,
    x^4 - 3428/99*x^3*y + 2937796/9801*x^2*y^2 - 10549394/3242613*x^3*z + 
        26416547164/321018687*x^2*y*z - 4281016/9801*x*y^2*z + 
        41403166149313/10514539067769*x^2*z^2 - 20711410684/321018687*x*y*z^2 + 
        1562884/9801*y^2*z^2 - 22091528172976/10514539067769*x*z^3 + 
        5361679264/321018687*y*z^3 + 4385271562816/10514539067769*z^4,
    x^4 - 2190/1183*x^3*y + 1199025/1399489*x^2*y^2 - 18050/17199*x^3*z + 
        8776090/2260713*x^2*y*z - 3419580/1399489*x*y^2*z + 
        262452901/295805601*x^2*z^2 - 67842512/20346417*x*y*z^2 + 
        3339436/1399489*y^2*z^2 - 31659700/98601867*x*z^3 - 
        2283040/6782139*y*z^3 + 3076516/32867289*z^4,
    x^4 + 962/335*x^3*y + 231361/112225*x^2*y^2 - 2670440/647287*x^3*z - 
        1012260538/216841145*x^2*y*z + 74834/112225*x*y^2*z + 
        2253632182738/418980460369*x^2*z^2 + 144001306/43368229*x*y*z^2 + 
        115249/112225*y^2*z^2 - 971204312280/418980460369*x*z^3 - 
        72269886/216841145*y*z^3 + 132268233969/418980460369*z^4,
    x^4 + 54/77*x^3*y + 729/5929*x^2*y^2 + 5363/5390*x^3*z + 
        651841/415030*x^2*y*z - 31298/53361*x*y^2*z - 51721711/116208400*x^2*z^2
        + 32877/207515*x*y*z^2 + 135529/480249*y^2*z^2 - 20020079/58104200*x*z^3
        - 1230151/3735270*y*z^3 + 13935289/116208400*z^4,
    x^4 - 1222/441*x^3*y + 373321/194481*x^2*y^2 - 16000711/9820237*x^3*z + 
        5680624736/1443574839*x^2*y*z - 627581/194481*x*y^2*z + 
        273887217003597/385748218944676*x^2*z^2 - 1853034335/962383226*x*y*z^2 +
        2564545/777924*y^2*z^2 - 7276915353557/192874109472338*x*z^3 - 
        219641113/8661449034*y*z^3 + 206831215369/385748218944676*z^4,
    x^4 + 92/255*x^3*y + 2116/65025*x^2*y^2 - 4379185/912798*x^3*z - 
        660590782/116381745*x^2*y*z - 386554/195075*x*y^2*z + 
        21407612587513/3332800755216*x^2*z^2 + 13499483899/1396580940*x*y*z^2 + 
        8077201/2340900*y^2*z^2 - 8025149917895/4999201132824*x*z^3 - 
        6649973713/4189742820*y*z^3 + 3358301809489/29995206796944*z^4,
    x^4 - 3061/248*x^3*y + 9369721/246016*x^2*y^2 - 9650049/48206240*x^3*z + 
        1133128794443/23910295040*x^2*y*z - 48481639/615040*x*y^2*z - 
        25353560189511039/9295366299750400*x^2*z^2 - 
        3414512283893/59775737600*x*y*z^2 + 249061561/6150400*y^2*z^2 + 
        1273495630271661/4647683149875200*x*z^3 + 
        2576551454799/119551475200*y*z^3 + 17415497333548521/9295366299750400*z\
        ^4,
    x^4 - 526/255*x^3*y + 69169/65025*x^2*y^2 - 98412/254507*x^3*z + 
        180525014/64899285*x^2*y*z - 34594/13005*x*y^2*z - 
        45774760154/64773813049*x^2*z^2 - 36309554/12979857*x*y*z^2 + 
        8161/2601*y^2*z^2 + 9318140220/64773813049*x*z^3 + 
        11477030/12979857*y*z^3 + 8965249225/64773813049*z^4,
    x^4 - 1944/1001*x^3*y + 944784/1002001*x^2*y^2 - 919744/181103*x^3*z + 
        1793445012/181284103*x^2*y*z - 4929864/1002001*x*y^2*z + 
        343196295048/32798296609*x^2*z^2 - 5151063832/181284103*x*y*z^2 + 
        16506736/1002001*y^2*z^2 - 334459387136/32798296609*x*z^3 + 
        4644290432/181284103*y*z^3 + 132236958736/32798296609*z^4,
    x^4 - 1130/653*x^3*y + 319225/426409*x^2*y^2 + 1327937787/4571000*x^3*z + 
        607159263/14924315*x^2*y*z - 8562945/3411272*x*y^2*z + 
        1746287074194877369/83576164000000*x^2*z^2 - 
        22352070288119/47757808000*x*y*z^2 + 280284569/109160704*y^2*z^2 - 
        248849497838931363/8357616400000*x*z^3 + 3491756643357/9551561600*y*z^3 
        + 35117054305911601/3343046560000*z^4,
    x^4 + 17462/12845*x^3*y + 76230361/164994025*x^2*y^2 - 
        145886770/91475851*x^3*z - 5230976226964/1175007306095*x^2*y*z - 
        477730446/164994025*x*y^2*z - 791053985547743/8367831316174201*x^2*z^2 +
        1209669886346/235001461219*x*y*z^2 + 556817689/164994025*y^2*z^2 + 
        4873578636493680/8367831316174201*x*z^3 - 
        2329051497288/1175007306095*y*z^3 + 1115999854549056/8367831316174201*z\
        ^4,
    x^4 + 274/85*x^3*y + 18769/7225*x^2*y^2 + 94346/4659*x^3*z - 
        710920/26401*x^2*y*z - 53692/21675*x*y^2*z + 1374137221/14470854*x^2*z^2
        + 66214883/2376090*x*y*z^2 + 141731/260100*y^2*z^2 - 
        9968362495/130237686*x*z^3 - 6662833/1188045*y*z^3 + 
        44654029225/3125704464*z^4,
    x^4 + 3/14*x^3*y + 9/784*x^2*y^2 + 5219/1136*x^3*z - 610417/31808*x^2*y*z + 
        13371/1568*x*y^2*z + 63050539/15485952*x^2*z^2 - 78011/27264*x*y*z^2 + 
        32785/12544*y^2*z^2 - 85742951/30971904*x*z^3 + 1048567/508928*y*z^3 + 
        269912041/743325696*z^4,
    x^4 + 23/15*x^3*y + 529/900*x^2*y^2 + 25531/3840*x^3*z + 
        1826587/115200*x^2*y*z + 14867/1800*x*y^2*z - 890953319/58982400*x^2*z^2
        + 12721541/230400*x*y*z^2 + 746041/14400*y^2*z^2 - 
        10257513277/117964800*x*z^3 - 155070917/1843200*y*z^3 + 
        161416722289/943718400*z^4,
    x^4 + 277/61*x^3*y + 76729/14884*x^2*y^2 + 2047012/713395*x^3*z - 
        291313123/43517095*x^2*y*z - 30705/7442*x*y^2*z + 
        504087379926/508932426025*x^2*z^2 + 1097790297/217585475*x*y*z^2 + 
        283329/372100*y^2*z^2 - 779725293908/508932426025*x*z^3 - 
        202082693/217585475*y*z^3 + 145091666281/508932426025*z^4,
    x^4 - 98/13*x^3*y + 2401/169*x^2*y^2 - 1948/5999*x^3*z - 
        272812/77987*x^2*y*z + 2824/169*x*y^2*z - 48651056/35988001*x^2*z^2 + 
        417728/77987*x*y*z^2 + 1648/169*y^2*z^2 + 8053032/35988001*x*z^3 + 
        301368/77987*y*z^3 + 17089956/35988001*z^4,
    x^4 - 86/945*x^3*y + 1849/893025*x^2*y^2 - 10947266/11744343*x^3*z + 
        36533057146/11098404135*x^2*y*z + 3938804/11609325*x*y^2*z - 
        64966658313827/137929592501649*x^2*z^2 + 
        62579153768/144279253755*x*y*z^2 + 21753796/150921225*y^2*z^2 + 
        44242346495996/137929592501649*x*z^3 - 27978825704/144279253755*y*z^3 + 
        16332962456836/137929592501649*z^4,
    x^4 - 5402/301*x^3*y + 7295401/90601*x^2*y^2 + 8872582/10117169*x^3*z - 
        108850365504/3045267869*x^2*y*z + 12756538/90601*x*y^2*z - 
        149578952503179/102357108574561*x^2*z^2 - 8117138454/435038267*x*y*z^2 +
        5245601/90601*y^2*z^2 - 74218882252540/102357108574561*x*z^3 - 
        3941555540/3045267869*y*z^3 + 69972723100900/102357108574561*z^4,
    x^4 + 2491/322*x^3*y + 6205081/414736*x^2*y^2 + 5831523/6238750*x^3*z + 
        136561853259/2008877500*x^2*y*z + 81954105/829472*x*y^2*z - 
        1958852599325471/155688006250000*x^2*z^2 + 
        591636149801/3214204000*x*y*z^2 + 1080544217/6635776*y^2*z^2 - 
        93138886871829/15568800625000*x*z^3 + 2417959181643/16071020000*y*z^3 + 
        255092741254129/6227520250000*z^4,
    x^4 - 73/19*x^3*y + 5329/1444*x^2*y^2 + 15992/6023*x^3*z - 
        657581/114437*x^2*y*z + 493/722*x*y^2*z - 181260314/36276529*x^2*z^2 + 
        1557295/114437*x*y*z^2 - 18983/1444*y^2*z^2 - 325517160/36276529*x*z^3 +
        1994637/114437*y*z^3 + 414326025/36276529*z^4,
    x^4 - 1024/455*x^3*y + 262144/207025*x^2*y^2 - 184507/119418*x^3*z + 
        98866396/27167595*x^2*y*z - 450704/207025*x*y^2*z - 
        20754743447/57042634896*x^2*z^2 + 97563367/54335190*x*y*z^2 - 
        293159/207025*y^2*z^2 + 10583137013/14260658724*x*z^3 - 
        2230219/5433519*y*z^3 + 3290054881/14260658724*z^4,
    x^4 - 295/374*x^3*y + 87025/559504*x^2*y^2 + 685517/81175*x^3*z - 
        23028963/6071890*x^2*y*z + 527995/559504*x*y^2*z + 
        252410533289/26357522500*x^2*z^2 + 102046471/121437800*x*y*z^2 + 
        9804969/2238016*y^2*z^2 - 45924154864/1317876125*x*z^3 - 
        144947619/6071890*y*z^3 + 4487928064/263575225*z^4,
    x^4 + 1498/611*x^3*y + 561001/373321*x^2*y^2 + 4853630/19268543*x^3*z + 
        3182030650/5045605617*x^2*y*z - 742420/1119963*x*y^2*z - 
        235759601869763/371276749342849*x^2*z^2 - 5553035552/35319239319*x*y*z^2
        + 1610332/1119963*y^2*z^2 - 4347852632220/53039535620407*x*z^3 - 
        4189522040/5045605617*y*z^3 + 802446890436/7577076517201*z^4,
    x^4 + 5858/795*x^3*y + 8579041/632025*x^2*y^2 + 9476700/2012887*x^3*z - 
        21286737278/533415055*x^2*y*z - 20101514/632025*x*y^2*z - 
        2954429264642/4051714074769*x^2*z^2 + 33522411978/533415055*x*y*z^2 + 
        11582089/632025*y^2*z^2 - 59806818761100/4051714074769*x*z^3 - 
        9594032890/320049033*y*z^3 + 39827875330489/4051714074769*z^4,
    x^4 - 1028/565*x^3*y + 264196/319225*x^2*y^2 - 46605745/24762481*x^3*z + 
        362343971756/41972405295*x^2*y*z - 6374852/957675*x*y^2*z + 
        736595822049313/2452721861101444*x^2*z^2 + 
        90542764549/41972405295*x*y*z^2 - 1343573/957675*y^2*z^2 + 
        337721260646280/613180465275361*x*z^3 - 494356568/8394481059*y*z^3 + 
        52509501366336/613180465275361*z^4,
    x^4 - 1072/301*x^3*y + 287296/90601*x^2*y^2 + 974097/902312*x^3*z - 
        772082194/101848467*x^2*y*z + 2650288/271803*x*y^2*z + 
        5878895615521/3256667781376*x^2*z^2 - 108828359/13357176*x*y*z^2 + 
        3233891/271803*y^2*z^2 + 166320244071/203541736336*x*z^3 + 
        216237641/101848467*y*z^3 + 29153172049/50885434084*z^4,
    x^4 - 26/33*x^3*y + 169/1089*x^2*y^2 - 1677559/42603*x^3*z + 
        55885250/1405899*x^2*y*z - 3499/363*x*y^2*z + 
        2911776656497/7260062436*x^2*z^2 - 254617249/937266*x*y*z^2 + 
        21409/484*y^2*z^2 - 160086100252/605005203*x*z^3 + 16087856/156211*y*z^3
        + 9106503184/201668401*z^4,
    x^4 + 698/1001*x^3*y + 121801/1002001*x^2*y^2 - 117964/158769*x^3*z + 
        11323740958/2701772073*x^2*y*z + 298314/1002001*x*y^2*z - 
        97919430514/428529121137*x^2*z^2 + 448037638/900590691*x*y*z^2 + 
        205747/3006003*y^2*z^2 + 19449078572/142843040379*x*z^3 - 
        413777998/8105316219*y*z^3 + 27183106129/809443895481*z^4,
    x^4 + 661/1066*x^3*y + 436921/4545424*x^2*y^2 - 206304824/19909805*x^3*z - 
        250837427499/21223852130*x^2*y*z - 34882067/11363560*x*y^2*z + 
        14115747881089254/396400335138025*x^2*z^2 + 
        97402929791/3659284850*x*y*z^2 + 482476849/113635600*y^2*z^2 - 
        18005623006539784/396400335138025*x*z^3 - 132843411029/8163020050*y*z^3 
        + 7617238247257681/396400335138025*z^4,
    x^4 + 9731/4587*x^3*y + 94692361/84162276*x^2*y^2 - 
        765631004/638175827*x^3*z - 7812532161739/2927312518449*x^2*y*z - 
        97374811/42081138*x*y^2*z - 526673596298610810/407268386167133929*x^2*z\
        ^2 + 6636841301099/2927312518449*x*y*z^2 + 445306801/84162276*y^2*z^2 + 
        403837846683201164/407268386167133929*x*z^3 - 
        213079139629/100941810981*y*z^3 + 278211457557766681/407268386167133929\
        *z^4,
    x^4 - 347/16*x^3*y + 120409/1024*x^2*y^2 - 261308/263295*x^3*z + 
        151665287/4212720*x^2*y*z - 59865/512*x*y^2*z + 
        11391194566/69324257025*x^2*z^2 - 5490929/280848*x*y*z^2 + 
        88075/3072*y^2*z^2 + 187880452/4621617135*x*z^3 + 8765195/2527632*y*z^3 
        + 516961/308107809*z^4,
    x^4 - 71/42*x^3*y + 5041/7056*x^2*y^2 - 18792/553*x^3*z + 
        159247/7742*x^2*y*z + 17569/3528*x*y^2*z + 129095110/305809*x^2*z^2 - 
        844915/7742*x*y*z^2 + 458641/7056*y^2*z^2 - 693406008/305809*x*z^3 + 
        33362971/23226*y*z^3 + 1361536201/305809*z^4,
    x^4 - 482/185*x^3*y + 58081/34225*x^2*y^2 + 254277/8140*x^3*z - 
        60558097/1505900*x^2*y*z - 30622/34225*x*y^2*z + 
        51588999529/265038400*x^2*z^2 + 121614853/752950*x*y*z^2 - 
        3503519/34225*y^2*z^2 - 20410560513/26503840*x*z^3 + 
        2492348887/1505900*y*z^3 + 6443112361/10601536*z^4,
    x^4 + 30/97*x^3*y + 225/9409*x^2*y^2 + 5909726/7921311*x^3*z + 
        4459768828/3841835835*x^2*y*z + 205942/141135*x*y^2*z - 
        136776212473567/62747167958721*x^2*z^2 - 1482100682/11525507505*x*y*z^2 
        + 1156501/423405*y^2*z^2 - 975057512192/1127194633989*x*z^3 - 
        38714137216/11525507505*y*z^3 + 27222360064/20249005401*z^4,
    x^4 - 164/63*x^3*y + 6724/3969*x^2*y^2 - 30085/12054*x^3*z + 
        1799860/379701*x^2*y*z - 13990/3969*x*y^2*z + 
        1159567165/581195664*x^2*z^2 - 2984887/1518804*x*y*z^2 + 
        32281/15876*y^2*z^2 - 317547175/581195664*x*z^3 - 411385/3037608*y*z^3 +
        111408025/2324782656*z^4,
    x^4 + 631/625*x^3*y + 398161/1562500*x^2*y^2 - 4234948/1681125*x^3*z - 
        2196079427/350234375*x^2*y*z - 5709281/2343750*x*y^2*z - 
        354941370074/2826181265625*x^2*z^2 + 38450892227/3152109375*x*y*z^2 + 
        61510801/14062500*y^2*z^2 + 6094543311436/2826181265625*x*z^3 - 
        19520294657/3152109375*y*z^3 + 2071028957449/2826181265625*z^4,
    x^4 + 502/259*x^3*y + 63001/67081*x^2*y^2 + 539990/620823*x^3*z - 
        3234373552/160793157*x^2*y*z + 1182578/201243*x*y^2*z - 
        318278305691/385421197329*x^2*z^2 + 8756751718/482379471*x*y*z^2 - 
        1522919/603729*y^2*z^2 - 170121689540/385421197329*x*z^3 - 
        1988452612/482379471*y*z^3 + 99253982116/385421197329*z^4,
    x^4 - 199/117*x^3*y + 39601/54756*x^2*y^2 - 1565/374*x^3*z + 
        3450527/651508*x^2*y*z - 16247/13689*x*y^2*z + 
        242204235/37486768*x^2*z^2 - 2922143/488631*x*y*z^2 + 
        25249/13689*y^2*z^2 - 40854325/9371692*x*z^3 + 211655/86229*y*z^3 + 
        681471025/627903364*z^4,
    x^4 + 19682/1863*x^3*y + 96845281/3470769*x^2*y^2 + 3745289/1432808*x^3*z + 
        7033333997/205332408*x^2*y*z + 347895574/3470769*x*y^2*z - 
        11612342074511/8211755059456*x^2*z^2 + 9159428429/667330326*x*y*z^2 + 
        349785913/3470769*y^2*z^2 - 1288855067703/315836733056*x*z^3 - 
        6143693003/205332408*y*z^3 + 118423392129/48590266624*z^4,
    x^4 - 13006/23463*x^3*y + 42289009/550512369*x^2*y^2 - 
        553469134/118157851*x^3*z + 515809178740/44005359651*x^2*y*z - 
        3090874514/550512369*x*y^2*z + 144778564506157017/13961277752938201*x^2\
        *z^2 - 21353933746526/924112552671*x*y*z^2 + 
        5198436961/550512369*y^2*z^2 - 3259621042668424/284924035774249*x*z^3 + 
        2905175696824/396048236859*y*z^3 + 1699587363506704/284924035774249*z^4\
        ,
    x^4 - 4/5*x^3*y + 4/25*x^2*y^2 - 8000/7043*x^3*z + 1064882/105645*x^2*y*z - 
        1292/75*x*y^2*z - 755049527/1785738564*x^2*z^2 - 373490/21129*x*y*z^2 + 
        6647/300*y^2*z^2 + 188989000/446434641*x*z^3 + 63084943/7606440*y*z^3 + 
        35716842121/257146353216*z^4,
    x^4 - 37/5*x^3*y + 1369/100*x^2*y^2 + 181*x^3*z + 67703/115*x^2*y*z + 
        2697/100*x*y^2*z + 765767/92*x^2*z^2 + 488013/460*x*y*z^2 + 
        4761/400*y^2*z^2 + 277473/23*x*z^3 + 101727/230*y*z^3 + 2350089/529*z^4,
    x^4 + 561/32*x^3*y + 314721/4096*x^2*y^2 - 645677/324456*x^3*z - 
        924728313/6921728*x^2*y*z - 691377/4096*x*y^2*z + 
        76820231929/421086783744*x^2*z^2 + 5362068607/20765184*x*y*z^2 + 
        1467649/16384*y^2*z^2 + 338383173775/421086783744*x*z^3 - 
        12328462075/83060736*y*z^3 + 274654605625/1684347134976*z^4,
    x^4 - 830/299*x^3*y + 172225/89401*x^2*y^2 - 915410/206563*x^3*z + 
        1506072814/185287011*x^2*y*z - 1275236/268203*x*y^2*z + 
        319667134957/42668272969*x^2*z^2 - 684530360/185287011*x*y*z^2 + 
        801644/268203*y^2*z^2 - 244123369620/42668272969*x*z^3 - 
        453166904/185287011*y*z^3 + 71119289124/42668272969*z^4,
    x^4 - 1033/1850*x^3*y + 1067089/13690000*x^2*y^2 + 18512303/6229986*x^3*z - 
        28302379633/11525474100*x^2*y*z + 19131139/27380000*x*y^2*z + 
        145794568660969/155250902240784*x^2*z^2 - 7139249947/1229383904*x*y*z^2 
        + 581717689/219040000*y^2*z^2 - 146279312545705/77625451120392*x*z^3 - 
        7562095553/4852831200*y*z^3 + 62437416010225/155250902240784*z^4,
    x^4 + 359/35*x^3*y + 128881/4900*x^2*y^2 - 291404/57085*x^3*z - 
        28809507/1997975*x^2*y*z - 105929/2450*x*y^2*z + 
        30583363414/3258697225*x^2*z^2 + 4750481/1997975*x*y*z^2 + 
        87361/4900*y^2*z^2 - 23875603932/3258697225*x*z^3 + 
        4158303/1997975*y*z^3 + 6713016489/3258697225*z^4,
    x^4 - 4324/2765*x^3*y + 4674244/7645225*x^2*y^2 - 2625029/2599574*x^3*z + 
        13818522978/3593911055*x^2*y*z - 18088118/7645225*x*y^2*z + 
        54732307715537/27031139925904*x^2*z^2 - 138232053383/14375644220*x*y*z^2
        + 194106921/30580900*y^2*z^2 - 12077498551129/13515569962952*x*z^3 + 
        176594673/14375644220*y*z^3 + 21168290011801/27031139925904*z^4,
    x^4 - 12/19*x^3*y + 36/361*x^2*y^2 + 69719/13851*x^3*z + 
        5458868/87723*x^2*y*z - 24708/361*x*y^2*z + 7080666433/767400804*x^2*z^2
        + 58339939/263169*x*y*z^2 - 40535/361*y^2*z^2 + 51731498/7105563*x*z^3 +
        16976792/87723*y*z^3 + 550564/263169*z^4,
    x^4 + 106/27*x^3*y + 2809/729*x^2*y^2 - 2584/567*x^3*z + 39833/15309*x^2*y*z
        - 4805/729*x*y^2*z + 5042363/642978*x^2*z^2 - 515765/30618*x*y*z^2 + 
        13825/2916*y^2*z^2 - 1941230/321489*x*z^3 + 471725/61236*y*z^3 + 
        9030025/5143824*z^4,
    x^4 + 1146/77*x^3*y + 328329/5929*x^2*y^2 - 3121856/691889*x^3*z - 
        2255805065/159826359*x^2*y*z - 1588705/17787*x*y^2*z + 
        7096907038953/957420776642*x^2*z^2 - 273976105/45664674*x*y*z^2 + 
        2569075/71148*y^2*z^2 - 2508618118960/478710388321*x*z^3 + 
        3949522525/639305436*y*z^3 + 10331499490225/7659366213136*z^4,
    x^4 + 16818/4291*x^3*y + 70711281/18412681*x^2*y^2 + 
        5112575378/3524375457*x^3*z + 5953518926860/720147385047*x^2*y*z + 
        190679546/18412681*x*y^2*z - 33286787436884579723/12421222361903958849*\
        x^2*z^2 + 6067029887414/45369285257961*x*y*z^2 + 
        2409227857/165714129*y^2*z^2 - 9627704819193781396/4140407453967986283*\
        x*z^3 - 171997268626324/15123095085987*y*z^3 + 
        3546223347742501924/1380135817989328761*z^4,
    x^4 - 1918/1755*x^3*y + 919681/3080025*x^2*y^2 - 184709/102860*x^3*z - 
        4221593/1542900*x^2*y*z + 6815122/3080025*x*y^2*z + 
        156438938121/42320718400*x^2*z^2 + 3670964/15043275*x*y*z^2 + 
        5427841/3080025*y^2*z^2 - 54914170409/21160359200*x*z^3 + 
        5257121/1298700*y*z^3 + 88387884601/42320718400*z^4,
    x^4 - 1454/625*x^3*y + 528529/390625*x^2*y^2 + 88799582/88051375*x^3*z + 
        1747661585842/165096328125*x^2*y*z - 12949012/1171875*x*y^2*z + 
        3085251561734181/7753044639390625*x^2*z^2 + 
        2004813841108/165096328125*x*y*z^2 - 4705172/1171875*y^2*z^2 + 
        561687725607044/7753044639390625*x*z^3 + 489668065048/165096328125*y*z^3
        + 40009951416964/7753044639390625*z^4,
    x^4 - 1231/483*x^3*y + 1515361/933156*x^2*y^2 - 221573405/54667067*x^3*z - 
        209485179482/26404193361*x^2*y*z + 4128169/311052*x*y^2*z + 
        72298816321214653/11953952857529956*x^2*z^2 + 
        1199395302549/35205591148*x*y*z^2 - 6736399/414736*y^2*z^2 - 
        23512321917967755/5976976428764978*x*z^3 - 
        863880806721/35205591148*y*z^3 + 11260450739403441/11953952857529956*z^\
        4,
    x^4 + 2636/1157*x^3*y + 1737124/1338649*x^2*y^2 - 31271629/8486239*x^3*z - 
        18739317348/9818578523*x^2*y*z - 6136012/1338649*x*y^2*z + 
        1510208452780989/288065009460484*x^2*z^2 - 
        48925164987/9818578523*x*y*z^2 + 5280265/1338649*y^2*z^2 - 
        490373009894207/144032504730242*x*z^3 + 40876092895/9818578523*y*z^3 + 
        245896364052889/288065009460484*z^4,
    x^4 + 518/611*x^3*y + 67081/373321*x^2*y^2 + 863664/458861*x^3*z + 
        778035137/280364071*x^2*y*z + 1370879/373321*x*y^2*z - 
        829230994753/421106834642*x^2*z^2 - 794260829/560728142*x*y*z^2 + 
        12996421/1493284*y^2*z^2 - 565687180956/210553417321*x*z^3 - 
        9887007959/1121456284*y*z^3 + 6864090843481/3368854677136*z^4,
    x^4 - 137/130*x^3*y + 18769/67600*x^2*y^2 + 12056/48243*x^3*z - 
        146069/418106*x^2*y*z - 30139/101400*x*y^2*z - 
        1903767358/775795683*x^2*z^2 + 44874221/18814770*x*y*z^2 + 
        478409/608400*y^2*z^2 - 2154515704/6982161147*x*z^3 - 
        3508707/2090530*y*z^3 + 31936906681/20946483441*z^4,
    x^4 + 258/31*x^3*y + 16641/961*x^2*y^2 - 7885082/2157631*x^3*z - 
        1372235478/66886561*x^2*y*z - 150180/6727*x*y^2*z + 
        21499355647029/4655371532161*x^2*z^2 + 7162226312/468205927*x*y*z^2 + 
        512068/47089*y^2*z^2 - 10882627462628/4655371532161*x*z^3 - 
        1437561304/468205927*y*z^3 + 1904825063716/4655371532161*z^4,
    x^4 - 130/133*x^3*y + 4225/17689*x^2*y^2 + 33125405/2142231*x^3*z - 
        5370305294/284916723*x^2*y*z + 309409/53067*x*y^2*z + 
        1089190393100317/18356614629444*x^2*z^2 - 
        155113982125/1709500338*x*y*z^2 + 20159833/636804*y^2*z^2 - 
        31320633559385/9178307314722*x*z^3 - 29082741841/1709500338*y*z^3 + 
        894002397289/18356614629444*z^4,
    x^4 - 289/47*x^3*y + 83521/8836*x^2*y^2 + 21395/18894*x^3*z - 
        35607647/1776036*x^2*y*z + 150321/4418*x*y^2*z - 
        4417132703/1427932944*x^2*z^2 - 6473417/296006*x*y*z^2 + 
        283217/8836*y^2*z^2 - 153337965/79329608*x*z^3 - 16013827/1776036*y*z^3 
        + 462293001/158659216*z^4,
    x^4 - 22/59*x^3*y + 121/3481*x^2*y^2 - 2168294/3749745*x^3*z + 
        238210718/221234955*x^2*y*z + 59372/52215*x*y^2*z - 
        18089090209691/14060587565025*x^2*z^2 - 1123186376/3318524325*x*y*z^2 + 
        765316/783225*y^2*z^2 + 1113969715676/2812117513005*x*z^3 - 
        751051112/663704865*y*z^3 + 263943172516/562423502601*z^4,
    x^4 - 23/8*x^3*y + 529/256*x^2*y^2 + 7931/673*x^3*z - 115615/10768*x^2*y*z -
        243/64*x*y^2*z + 57619057/1811716*x^2*z^2 + 281079/2692*x*y*z^2 - 
        3303/64*y^2*z^2 - 7780311/452929*x*z^3 + 1025793/2692*y*z^3 + 
        962361/452929*z^4,
    x^4 + 223/10*x^3*y + 49729/400*x^2*y^2 + 231178/23205*x^3*z - 
        7863847/232050*x^2*y*z + 24137/200*x*y^2*z + 
        15719465941/538472025*x^2*z^2 - 10542937/232050*x*y*z^2 + 
        11761/400*y^2*z^2 + 11748928316/538472025*x*z^3 - 2649883/232050*y*z^3 +
        2582875684/538472025*z^4,
    x^4 - 734/115*x^3*y + 134689/13225*x^2*y^2 - 10051582/2239901*x^3*z + 
        1266184552/51517723*x^2*y*z - 414947/13225*x*y^2*z + 
        37229470721467/5017156489801*x^2*z^2 - 7538010598/257588615*x*y*z^2 + 
        1165081/52900*y^2*z^2 - 26859767059326/5017156489801*x*z^3 + 
        2868683883/257588615*y*z^3 + 7140615429249/5017156489801*z^4,
    x^4 - 1019/414*x^3*y + 1038361/685584*x^2*y^2 + 6214309/66309*x^3*z - 
        3212541233/27451926*x^2*y*z + 1823005/685584*x*y^2*z + 
        36713892756625/17587533924*x^2*z^2 + 861149737/109807704*x*y*z^2 - 
        68267855/2742336*y^2*z^2 - 22301744352857/4396883481*x*z^3 + 
        59897205701/54903852*y*z^3 + 12879291645529/4396883481*z^4,
    x^4 + 5042/27*x^3*y + 6355441/729*x^2*y^2 - 43453234/14305077*x^3*z - 
        127489840730/386237079*x^2*y*z - 7894696/729*x*y^2*z + 
        701195481509209/204635227975929*x^2*z^2 + 74684883776/386237079*x*y*z^2 
        + 2451856/729*y^2*z^2 - 348033463334920/204635227975929*x*z^3 - 
        14486217440/386237079*y*z^3 + 64150167984400/204635227975929*z^4,
    x^4 - 3558/259*x^3*y + 3164841/67081*x^2*y^2 + 191550/952121*x^3*z - 
        20963747376/246599339*x^2*y*z + 9363474/67081*x*y^2*z - 
        1145395733363/906534398641*x^2*z^2 - 28919514662/246599339*x*y*z^2 + 
        5698345/67081*y^2*z^2 - 116139446700/906534398641*x*z^3 - 
        11519241964/246599339*y*z^3 + 367616666596/906534398641*z^4,
    x^4 - 188/55*x^3*y + 8836/3025*x^2*y^2 + 28295/10263*x^3*z + 
        2878564/564465*x^2*y*z - 12708/3025*x*y^2*z + 
        1290726853/421316676*x^2*z^2 + 1871521/112893*x*y*z^2 - 
        30157/9075*y^2*z^2 + 337814005/210658338*x*z^3 + 13184641/1693395*y*z^3 
        + 142539721/421316676*z^4,
    x^4 + 90/67*x^3*y + 2025/4489*x^2*y^2 + 31673060/17928999*x^3*z + 
        816994142/400414311*x^2*y*z - 14122/49379*x*y^2*z + 
        105148921194430/321449005142001*x^2*z^2 + 
        16141407494/39641016789*x*y*z^2 + 633301/4888521*y^2*z^2 - 
        128648526550900/321449005142001*x*z^3 - 7375555750/39641016789*y*z^3 + 
        16497934915225/321449005142001*z^4,
    x^4 - 27254/75*x^3*y + 185695129/5625*x^2*y^2 - 7560872/1966985*x^3*z + 
        185616873806/147523875*x^2*y*z - 404951746/5625*x*y^2*z + 
        21312129391086/3869029990225*x^2*z^2 - 213565326614/147523875*x*y*z^2 + 
        220773001/5625*y^2*z^2 - 13492882662424/3869029990225*x*z^3 + 
        81678980374/147523875*y*z^3 + 3184679377489/3869029990225*z^4,
    x^4 + 895/512*x^3*y + 801025/1048576*x^2*y^2 + 10319/14895*x^3*z + 
        4177003/9151488*x^2*y*z + 2549825/1572864*x*y^2*z - 
        463268539/887444100*x^2*z^2 - 39490919/17159040*x*y*z^2 + 
        19539841/9437184*y^2*z^2 - 177620947/798699690*x*z^3 - 
        130140809/82363392*y*z^3 + 296287369/2875318884*z^4,
    x^4 - 3974/1885*x^3*y + 3948169/3553225*x^2*y^2 - 100449922/124896707*x^3*z 
        + 647889174168/235430292695*x^2*y*z - 8329981/3553225*x*y^2*z - 
        18959477319874133/15599187419443849*x^2*z^2 - 
        386697874126/235430292695*x*y*z^2 + 27631369/14212900*y^2*z^2 + 
        8638609014515442/15599187419443849*x*z^3 + 
        274950483699/235430292695*y*z^3 + 7395855692703921/15599187419443849*z^\
        4,
    x^4 + 69/88*x^3*y + 4761/30976*x^2*y^2 - 10837/1782*x^3*z - 
        942533/104544*x^2*y*z - 18057/7744*x*y^2*z + 96184873/12702096*x^2*z^2 +
        2132555/78408*x*y*z^2 + 52089/7744*y^2*z^2 + 5385989/1058508*x*z^3 - 
        1180543/78408*y*z^3 + 247009/352836*z^4,
    x^4 + 30743/8684*x^3*y + 945132049/301647424*x^2*y^2 - 
        4719954592/1747947083*x^3*z - 94100641262993/15179172468772*x^2*y*z - 
        1047178399/150823712*x*y^2*z + 7901275742610698350/3055319004968208889*\
        x^2*z^2 + 29763938272279/15179172468772*x*y*z^2 + 
        1499790769/301647424*y^2*z^2 - 3148238735864786208/3055319004968208889*\
        x*z^3 + 10278887834469/15179172468772*y*z^3 + 
        444897202803810201/3055319004968208889*z^4,
    x^4 - 4/9*x^3*y + 4/81*x^2*y^2 + 42452/1359*x^3*z - 265880/12231*x^2*y*z + 
        92/27*x*y^2*z + 322566046/1846881*x^2*z^2 - 102853/4077*x*y*z^2 - 
        71/36*y^2*z^2 - 666284140/615627*x*z^3 + 236935/1359*y*z^3 + 
        246333025/205209*z^4,
    x^4 - 9679/1664*x^3*y + 93683041/11075584*x^2*y^2 + 159833724/21719503*x^3*z
        - 1793315909873/36141252992*x^2*y*z + 426154903/5537792*x*y^2*z + 
        4859701577103166/471736810567009*x^2*z^2 - 
        3917190793211/36141252992*x*y*z^2 + 1967940529/11075584*y^2*z^2 - 
        5618605010865612/471736810567009*x*z^3 - 224119527091/36141252992*y*z^3 
        + 1235720261812969/471736810567009*z^4,
    x^4 + 37/200*x^3*y + 1369/160000*x^2*y^2 - 676103/123392*x^3*z + 
        2391056393/148070400*x^2*y*z - 769231/120000*x*y^2*z + 
        591708298801/60902342656*x^2*z^2 - 580813877/37017600*x*y*z^2 + 
        566723/120000*y^2*z^2 - 92184615741/15225585664*x*z^3 + 
        98946929/37017600*y*z^3 + 18590504409/15225585664*z^4,
    x^4 - 87/40*x^3*y + 7569/6400*x^2*y^2 - 9749/4485*x^3*z + 
        1283047/358800*x^2*y*z - 4211/3200*x*y^2*z + 56669341/80460900*x^2*z^2 +
        14203/44850*x*y*z^2 - 5991/6400*y^2*z^2 + 302219/583050*x*z^3 - 
        97271/119600*y*z^3 + 961/16900*z^4,
    x^4 - 73/570*x^3*y + 5329/1299600*x^2*y^2 + 17270537/2085193*x^3*z - 
        18342451817/2377120020*x^2*y*z + 535567/216600*x*y^2*z + 
        351787067513853/17392119388996*x^2*z^2 - 540959361/18008485*x*y*z^2 + 
        42306353/4765200*y^2*z^2 + 110810304160939/8696059694498*x*z^3 - 
        516804345583/26148320220*y*z^3 + 41166942325609/17392119388996*z^4,
    x^4 - 8/11*x^3*y + 16/121*x^2*y^2 - 94918/20625*x^3*z - 964/226875*x^2*y*z +
        5728/363*x*y^2*z + 3082059181/425390625*x^2*z^2 - 4029232/680625*x*y*z^2
        + 1552/1089*y^2*z^2 - 1909180652/425390625*x*z^3 + 2453584/680625*y*z^3 
        + 404572996/425390625*z^4,
    x^4 - 1033/371*x^3*y + 1067089/550564*x^2*y^2 + 32116537/4970234*x^3*z - 
        25395038873/1843956814*x^2*y*z + 7687245/1101128*x*y^2*z + 
        1312542101093361/98812904059024*x^2*z^2 - 
        456696337437/14751654512*x*y*z^2 + 207652953/8809024*y^2*z^2 + 
        56756633235233/6175806503689*x*z^3 - 30166510201/921978407*y*z^3 + 
        12492110598724/6175806503689*z^4,
    x^4 + 5846/2653*x^3*y + 8543929/7038409*x^2*y^2 + 193711892/255898905*x^3*z 
        + 142287470362/678899794965*x^2*y*z - 153018946/105576135*x*y^2*z - 
        54836858805554894/65484249580199025*x^2*z^2 + 
        11153637305918/10183496924475*x*y*z^2 + 2251957801/1583642025*y^2*z^2 - 
        2700670953865588/7276027731133225*x*z^3 - 
        4002120340546/3394498974825*y*z^3 + 1749336229554489/7276027731133225*z\
        ^4,
    x^4 - 4/17*x^3*y + 4/289*x^2*y^2 - 6059/68*x^3*z - 123475/1734*x^2*y*z - 
        1624/867*x*y^2*z + 38156617/18496*x^2*z^2 + 298591/1734*x*y*z^2 + 
        2540/867*y^2*z^2 - 32191467/9248*x*z^3 - 142723/1734*y*z^3 + 
        28227969/18496*z^4,
    x^4 - 43/14*x^3*y + 1849/784*x^2*y^2 + 198313/30611*x^3*z - 
        5238809/428554*x^2*y*z + 1767/784*x*y^2*z + 
        5152701129/3748133284*x^2*z^2 + 27493743/1714216*x*y*z^2 - 
        41319/3136*y^2*z^2 - 27675570715/937033321*x*z^3 + 44355995/857108*y*z^3
        + 19475598025/937033321*z^4,
    x^4 - 287/176*x^3*y + 82369/123904*x^2*y^2 - 2808513/509936*x^3*z + 
        4893295/6993408*x^2*y*z - 164297/46464*x*y^2*z + 
        12806131024513/1040138896384*x^2*z^2 + 783064087/67311552*x*y*z^2 + 
        105307/23232*y^2*z^2 - 241860714021/18573908864*x*z^3 - 
        57451027/4807968*y*z^3 + 7416137689/1326707776*z^4,
    x^4 - 2036/1953*x^3*y + 1036324/3814209*x^2*y^2 - 9436655/2321373*x^3*z + 
        14106983260/4533641469*x^2*y*z + 1378340/3814209*x*y^2*z + 
        87796535463853/21555090420516*x^2*z^2 - 5180224477/4533641469*x*y*z^2 + 
        5672041/3814209*y^2*z^2 + 1274335327855/10777545210258*x*z^3 + 
        2657922835/4533641469*y*z^3 + 18236071681/21555090420516*z^4,
    x^4 - 2858/1899*x^3*y + 2042041/3606201*x^2*y^2 - 24705573/20659432*x^3*z + 
        2185807601/2179570076*x^2*y*z - 15262081/28849608*x*y^2*z + 
        572633281204441/1707248522250496*x^2*z^2 + 
        73099613861/209238727296*x*y*z^2 + 436871305/923187456*y^2*z^2 + 
        2820116452377/213406065281312*x*z^3 - 41707199995/156929045472*y*z^3 + 
        13029994201/106703032640656*z^4,
    x^4 + 157/9*x^3*y + 24649/324*x^2*y^2 + 640588/149841*x^3*z + 
        2668942/1348569*x^2*y*z + 1571/54*x*y^2*z + 
        119996474134/22452325281*x^2*z^2 + 1051771/449523*x*y*z^2 + 
        109/36*y^2*z^2 + 12403705444/7484108427*x*z^3 + 91156/149841*y*z^3 + 
        374925769/2494702809*z^4,
    x^4 - 29/4*x^3*y + 841/64*x^2*y^2 - 3223/479*x^3*z + 20014/1437*x^2*y*z - 
        6029/192*x*y^2*z + 136762421/8259876*x^2*z^2 - 126271/68976*x*y*z^2 + 
        43361/2304*y^2*z^2 - 72791455/4129938*x*z^3 - 1099135/206928*y*z^3 + 
        510082225/74338884*z^4,
    x^4 - 996/413*x^3*y + 248004/170569*x^2*y^2 + 316853/59649*x^3*z + 
        200398700/24635037*x^2*y*z - 744628/170569*x*y^2*z + 
        91717848493/14232012804*x^2*z^2 - 70185629/8211679*x*y*z^2 + 
        444665/170569*y^2*z^2 - 11524260463/7116006402*x*z^3 + 
        3375673/3519291*y*z^3 + 1322849641/14232012804*z^4,
    x^4 + 1438/511*x^3*y + 516961/261121*x^2*y^2 - 157311/365*x^3*z + 
        1555854654/3543785*x^2*y*z - 2771175/261121*x*y^2*z + 
        477205403299/10125100*x^2*z^2 - 2965395359/1417514*x*y*z^2 + 
        14516273/1044484*y^2*z^2 - 75607756686/506255*x*z^3 + 
        8385324786/3543785*y*z^3 + 231001351876/1923769*z^4,
    x^4 - 301/398*x^3*y + 90601/633616*x^2*y^2 - 1061162/1331907*x^3*z + 
        132498569/265049493*x^2*y*z + 227423/633616*x*y^2*z - 
        1247563650905/1773976256649*x^2*z^2 - 35722607/530098986*x*y*z^2 + 
        1593769/2534464*y^2*z^2 + 609127150078/1773976256649*x*z^3 - 
        773942275/1060197972*y*z^3 + 329497812361/1773976256649*z^4,
    x^4 - 13/111*x^3*y + 169/49284*x^2*y^2 - 201552/524549*x^3*z - 
        106006879/58224939*x^2*y*z - 52291/24642*x*y^2*z + 
        35840868510/275151653401*x^2*z^2 + 75365273/58224939*x*y*z^2 + 
        66529/49284*y^2*z^2 - 4934597616/275151653401*x*z^3 - 
        703907/19408313*y*z^3 + 599417289/275151653401*z^4,
    x^4 + 238/115*x^3*y + 14161/13225*x^2*y^2 - 438427/104328*x^3*z + 
        62804737/1713960*x^2*y*z - 182679/13225*x*y^2*z - 
        14673579191/43537326336*x^2*z^2 + 189816467/3999240*x*y*z^2 - 
        708319/52900*y^2*z^2 + 144906699905/14512442112*x*z^3 + 
        140703715/9598176*y*z^3 + 109240165225/19349922816*z^4,
    x^4 - 3/44*x^3*y + 9/7744*x^2*y^2 + 178909/3630*x^3*z - 
        511759/106480*x^2*y*z - 1995/1936*x*y^2*z + 31506880441/52707600*x^2*z^2
        + 1707092/19965*x*y*z^2 + 38933/9680*y^2*z^2 - 343326371/1464100*x*z^3 -
        7109409/133100*y*z^3 + 33143049/1464100*z^4,
    x^4 - 1094/1911*x^3*y + 299209/3651921*x^2*y^2 - 9289639/475111*x^3*z + 
        7495165046/907937121*x^2*y*z - 1381241/3651921*x*y^2*z + 
        101389956920277/902921849284*x^2*z^2 - 68844171917/1815874242*x*y*z^2 + 
        43561729/14607684*y^2*z^2 - 73774587792761/451460924642*x*z^3 + 
        40694122223/1815874242*y*z^3 + 63068994676801/902921849284*z^4,
    x^4 + 8/11*x^3*y + 16/121*x^2*y^2 - 94/3*x^3*z - 208/33*x^2*y*z - 
        158/121*x*y^2*z + 9931/36*x^2*z^2 - 3889/66*x*y*z^2 + 3829/484*y^2*z^2 -
        17155/36*x*z^3 + 34405/264*y*z^3 + 133225/576*z^4,
    x^4 - 882/431*x^3*y + 194481/185761*x^2*y^2 - 105810497/91750418*x^3*z + 
        69115524210/19772215079*x^2*y*z - 2837431/1114566*x*y^2*z - 
        7906938716866599/33672556812698896*x^2*z^2 - 
        1004137866173/474533161896*x*y*z^2 + 52035121/26749584*y^2*z^2 + 
        5507541015431533/16836278406349448*x*z^3 + 
        215730084395/474533161896*y*z^3 + 2709305455878121/33672556812698896*z^\
        4,
    x^4 - 1328/175*x^3*y + 440896/30625*x^2*y^2 + 901301/1048600*x^3*z - 
        1715118551/68814375*x^2*y*z + 3479536/91875*x*y^2*z - 
        129438516520991/39584230560000*x^2*z^2 - 32771937977/1101030000*x*y*z^2 
        + 9060467/367500*y^2*z^2 - 29385027274201/19792115280000*x*z^3 - 
        142135513799/9909270000*y*z^3 + 1062949153615801/356258075040000*z^4,
    x^4 - 112/39*x^3*y + 3136/1521*x^2*y^2 - 56295/41704*x^3*z + 
        1464410/609921*x^2*y*z - 3560/4563*x*y^2*z - 
        34227363335/62612050176*x^2*z^2 + 62862161/29276208*x*y*z^2 - 
        105719/54756*y^2*z^2 + 73527525/108701476*x*z^3 - 
        10452565/10978578*y*z^3 + 552720100/2201204889*z^4,
    x^4 + 1334/143*x^3*y + 444889/20449*x^2*y^2 - 285806/115453*x^3*z - 
        12395078/198913*x^2*y*z - 2885288/20449*x*y^2*z - 
        89291409431/13329395209*x^2*z^2 + 2216755472/16509779*x*y*z^2 + 
        4718224/20449*y^2*z^2 + 135797862840/13329395209*x*z^3 - 
        1485544800/16509779*y*z^3 + 225758019600/13329395209*z^4,
    x^4 - 214/143*x^3*y + 11449/20449*x^2*y^2 + 1372/1027*x^3*z - 
        54416826/12483185*x^2*y*z + 52682/20449*x*y^2*z + 
        267006686/89651965*x^2*z^2 - 8057902/734305*x*y*z^2 + 
        155169/20449*y^2*z^2 + 151632068/89651965*x*z^3 + 3164454/1134835*y*z^3 
        + 12214449361/7620417025*z^4,
    x^4 - 713/442*x^3*y + 508369/781456*x^2*y^2 + 16531448/8124589*x^3*z - 
        14429876004/1795534169*x^2*y*z + 2271211/390728*x*y^2*z + 
        11129360217990/66008946418921*x^2*z^2 - 44536270137/3591068338*x*y*z^2 +
        6020569/781456*y^2*z^2 - 58186349189176/66008946418921*x*z^3 - 
        10570918037/1795534169*y*z^3 + 12388548549169/66008946418921*z^4,
    x^4 - 369/112*x^3*y + 136161/50176*x^2*y^2 - 89413/25380*x^3*z + 
        264143/30080*x^2*y*z - 104877/25088*x*y^2*z + 
        10417459369/2576577600*x^2*z^2 - 18929899/2842560*x*y*z^2 + 
        736301/250880*y^2*z^2 - 142256083/85885920*x*z^3 + 5097037/9475200*y*z^3
        + 2531281/11451456*z^4,
    x^4 + 8207/7584*x^3*y + 67354849/230068224*x^2*y^2 - 4113076/2048075*x^3*z -
        71870263441/15532600800*x^2*y*z - 270852599/115034112*x*y^2*z - 
        295311994506/4194611205625*x^2*z^2 + 6235709951/913682400*x*y*z^2 + 
        833198449/230068224*y^2*z^2 + 4543357219588/4194611205625*x*z^3 - 
        14919102217/5177533600*y*z^3 + 1220169879769/4194611205625*z^4,
    x^4 - 530/49*x^3*y + 70225/2401*x^2*y^2 - 310225/420714*x^3*z - 
        174588755/6871662*x^2*y*z + 371815/7203*x*y^2*z - 
        901619170283/708001079184*x^2*z^2 - 1424901425/61844958*x*y*z^2 + 
        1939219/86436*y^2*z^2 + 367899239975/708001079184*x*z^3 - 
        903178645/123689916*y*z^3 + 1406384899921/2832004316736*z^4,
    x^4 - 551/172*x^3*y + 303601/118336*x^2*y^2 - 28397824/4143781*x^3*z + 
        15346757493/712730332*x^2*y*z - 1006303/59168*x*y^2*z + 
        134159974753230/17170920975961*x^2*z^2 - 10940273789/712730332*x*y*z^2 +
        629329/118336*y^2*z^2 + 231118445212928/17170920975961*x*z^3 - 
        12601822229/712730332*y*z^3 + 66236761128409/17170920975961*z^4,
    x^4 + 472/149*x^3*y + 55696/22201*x^2*y^2 + 4595923/776886*x^3*z + 
        736822544/57878007*x^2*y*z + 474440/66603*x*y^2*z + 
        19041948470593/2414207427984*x^2*z^2 + 5940073367/347268042*x*y*z^2 + 
        1762993/199809*y^2*z^2 - 341895307893/134122634888*x*z^3 - 
        92493887/38585338*y*z^3 + 49806187929/268245269776*z^4,
    x^4 - 15/2*x^3*y + 225/16*x^2*y^2 - 2092/201*x^3*z - 5117/670*x^2*y*z - 
        1311/40*x*y^2*z + 1546366/40401*x^2*z^2 + 107387/2010*x*y*z^2 + 
        1517/80*y^2*z^2 - 261500/4489*x*z^3 - 26587/670*y*z^3 + 140625/4489*z^4,
    x^4 + 10767/2320*x^3*y + 115928289/21529600*x^2*y^2 - 
        58710613/36872166*x^3*z - 143880922035/11405790016*x^2*y*z - 
        77101851/5382400*x*y^2*z + 3121394085040393/5438226502126224*x^2*z^2 + 
        475048445203/42771712560*x*y*z^2 + 45084409/5382400*y^2*z^2 + 
        64794030587221/1359556625531556*x*z^3 - 136225520581/42771712560*y*z^3 +
        1217970482689/1359556625531556*z^4,
    x^4 + 23654/20205*x^3*y + 139877929/408242025*x^2*y^2 - 
        46744645/3041526*x^3*z - 344934492149/184362098490*x^2*y*z - 
        849128662/408242025*x*y^2*z + 2690302693158257/37003521634704*x^2*z^2 - 
        2841536024897/92181049245*x*y*z^2 + 1912913809/408242025*y^2*z^2 - 
        5823714271831855/55505282452056*x*z^3 + 6776534979067/184362098490*y*z^3
        + 15521596395318601/333031694712336*z^4,
    x^4 - 145/36*x^3*y + 21025/5184*x^2*y^2 + 30434/39865*x^3*z - 
        35331/4556*x^2*y*z + 116425/9072*x*y^2*z + 4073062389/1589218225*x^2*z^2
        - 598148/119595*x*y*z^2 + 839089/63504*y^2*z^2 + 
        2052895036/2224905515*x*z^3 + 22976687/3516093*y*z^3 + 
        4550042116/3114867721*z^4,
    x^4 - 1219/711*x^3*y + 1485961/2022084*x^2*y^2 - 177809411/65961840*x^3*z + 
        521806610923/93797736480*x^2*y*z - 41790437/10110420*x*y^2*z + 
        26836329845262121/17403857344742400*x^2*z^2 - 
        2865354146639/468988682400*x*y*z^2 + 1025650129/202208400*y^2*z^2 + 
        1288477582442167/3480771468948480*x*z^3 + 
        1010710097371/375190945920*y*z^3 + 52510269481609/2784617175158784*z^4,
    x^4 - 1858/707*x^3*y + 863041/499849*x^2*y^2 - 119550181/27956901*x^3*z + 
        347277512698/19765529007*x^2*y*z - 18667549/1499547*x*y^2*z + 
        19451615702084437/3126353254095204*x^2*z^2 - 
        4588329520337/118593174042*x*y*z^2 + 324303001/17994564*y^2*z^2 - 
        5515665062214239/1563176627047602*x*z^3 + 
        3264238108361/118593174042*y*z^3 + 2128606067438761/3126353254095204*z^\
        4,
    x^4 - 2666/91*x^3*y + 1776889/8281*x^2*y^2 + 998684/15387995*x^3*z - 
        108789304894/1400307545*x^2*y*z + 3502822/8281*x*y^2*z - 
        466058295815138/236790390120025*x^2*z^2 - 
        499270359038/7001537725*x*y*z^2 + 43136713/207025*y^2*z^2 - 
        75658651012716/1183951950600125*x*z^3 - 160708900278/7001537725*y*z^3 + 
        5739327443205801/5919759753000625*z^4,
    x^4 - 415/44*x^3*y + 172225/7744*x^2*y^2 - 498912/102025*x^3*z + 
        128447041/2244550*x^2*y*z - 327035/3872*x*y^2*z + 
        93519241006/10409100625*x^2*z^2 - 300997181/3206500*x*y*z^2 + 
        536089/7744*y^2*z^2 - 382539279264/52045503125*x*z^3 + 
        2091002/44891*y*z^3 + 587900962009/260227515625*z^4,
    x^4 - 1156/875*x^3*y + 334084/765625*x^2*y^2 + 2760647/3441925*x^3*z + 
        31791943716/3011684375*x^2*y*z - 8847572/765625*x*y^2*z - 
        13125554251491/47387390822500*x^2*z^2 + 49863586447/3011684375*x*y*z^2 -
        5654431/765625*y^2*z^2 - 4160054852711/23693695411250*x*z^3 + 
        18077352081/3011684375*y*z^3 + 2270786789569/47387390822500*z^4,
    x^4 - 23/9*x^3*y + 529/324*x^2*y^2 - 42/17*x^3*z + 2279/153*x^2*y*z - 
        662/81*x*y^2*z - 1055/289*x^2*z^2 - 5476/153*x*y*z^2 + 856/81*y^2*z^2 + 
        1848/289*x*z^3 + 1760/51*y*z^3 + 1936/289*z^4,
    x^4 - 16/41*x^3*y + 64/1681*x^2*y^2 - 17029/6232*x^3*z + 
        245125/31939*x^2*y*z - 14784/1681*x*y^2*z + 435566361/155351296*x^2*z^2 
        - 1853589/127756*x*y*z^2 + 26724/1681*y^2*z^2 - 6215585/4854728*x*z^3 + 
        122110/31939*y*z^3 + 133225/606841*z^4,
    x^4 - 1713/802*x^3*y + 2934369/2572816*x^2*y^2 - 2479662788/3205995401*x^3*z
        - 10690053754225/7713624934806*x^2*y*z + 59412859/27014568*x*y^2*z - 
        5684235084054281018/10278406511233150801*x^2*z^2 - 
        128240536981379/53995374543642*x*y*z^2 + 754375571/378203952*y^2*z^2 + 
        2792686310555699676/10278406511233150801*x*z^3 - 
        47921969915833/53995374543642*y*z^3 + 
        1268408264254450929/10278406511233150801*z^4,
    x^4 - 4814/845*x^3*y + 5793649/714025*x^2*y^2 + 91279/218946*x^3*z - 
        1360005511/92504685*x^2*y*z + 31370659/1428050*x*y^2*z - 
        373615938023/191749403664*x^2*z^2 - 11246881351/740037480*x*y*z^2 + 
        174038569/11424400*y^2*z^2 - 5686955537/13696385976*x*z^3 - 
        969562927/148007496*y*z^3 + 3881663809/3913253136*z^4,
    x^4 + 50/57*x^3*y + 625/3249*x^2*y^2 + 1335486/569411*x^3*z + 
        435301391/10818809*x^2*y*z - 111073/3249*x*y^2*z - 
        67178512303/648457773842*x^2*z^2 + 2581829639/21637618*x*y*z^2 - 
        353329/6498*y^2*z^2 - 1124539976613/648457773842*x*z^3 + 
        11882097049/129825708*y*z^3 + 2836162496281/5187662190736*z^4,
    x^4 - 428/89*x^3*y + 45796/7921*x^2*y^2 - 23509161/12435080*x^3*z - 
        1944938439/276680530*x^2*y*z + 205659/15842*x*y^2*z + 
        871356361086241/618524858425600*x^2*z^2 - 320150419/8853776960*x*y*z^2 +
        1391369/506944*y^2*z^2 - 43033777811271/88360694060800*x*z^3 + 
        13806615699/17707553920*y*z^3 + 3350770521121/50491825177600*z^4,
    x^4 - 2/45*x^3*y + 1/2025*x^2*y^2 - 174227/36*x^3*z - 3106301/1620*x^2*y*z -
        5812/2025*x*y^2*z + 30384459529/5184*x^2*z^2 + 6921992/405*x*y*z^2 + 
        24886/2025*y^2*z^2 - 17792932375/1296*x*z^3 - 6307579/324*y*z^3 + 
        10429515625/1296*z^4,
    x^4 + 463/286*x^3*y + 214369/327184*x^2*y^2 - 535299332/55761849*x^3*z - 
        1462190694161/79739444070*x^2*y*z - 6979337/817960*x*y^2*z + 
        92786605266962182/3109383803898801*x^2*z^2 + 
        3566452965017/79739444070*x*y*z^2 + 25302269/1635920*y^2*z^2 - 
        101518521051144484/3109383803898801*x*z^3 - 
        2005325677691/79739444070*y*z^3 + 35966415867570769/3109383803898801*z^\
        4,
    x^4 + 2/255*x^3*y + 1/65025*x^2*y^2 - 760878/133195*x^3*z + 
        58837156/11321575*x^2*y*z + 108046/65025*x*y^2*z + 
        160671413641/17740908025*x^2*z^2 - 25057134/11321575*x*y*z^2 + 
        162529/65025*y^2*z^2 - 45521808984/17740908025*x*z^3 - 
        122774888/33964725*y*z^3 + 3579389584/17740908025*z^4,
    x^4 - 71/18*x^3*y + 5041/1296*x^2*y^2 - 3371/4971*x^3*z - 
        70831/178956*x^2*y*z + 673/648*x*y^2*z - 99688499/98843364*x^2*z^2 + 
        61588/44739*x*y*z^2 - 1391/1296*y^2*z^2 + 18827035/49421682*x*z^3 - 
        17755/178956*y*z^3 + 31192225/98843364*z^4,
    x^4 - 3*x^3*y + 9/4*x^2*y^2 - 872/543*x^3*z + 1513/543*x^2*y*z - 1/3*x*y^2*z
        + 120230/294849*x^2*z^2 + 955/1629*x*y*z^2 - 1/9*y^2*z^2 + 
        168296/884547*x*z^3 - 791/1629*y*z^3 + 37249/2653641*z^4,
    x^4 - 146/21*x^3*y + 5329/441*x^2*y^2 - 204964/26789*x^3*z + 
        34831022/562569*x^2*y*z - 36290/441*x*y^2*z + 
        15316704358/717650521*x^2*z^2 - 103158442/562569*x*y*z^2 + 
        60337/441*y^2*z^2 - 18416630292/717650521*x*z^3 + 33698258/187523*y*z^3 
        + 8073561609/717650521*z^4,
    x^4 - 212/51*x^3*y + 11236/2601*x^2*y^2 - 531292/1012231*x^3*z - 
        56793496/51623781*x^2*y*z + 6064/2601*x*y^2*z - 
        2722471078674/1024611597361*x^2*z^2 + 208719788/51623781*x*y*z^2 + 
        385844/28611*y^2*z^2 + 732994351340/1024611597361*x*z^3 + 
        4799073320/567861591*y*z^3 + 1903420326025/1024611597361*z^4,
    x^4 - 3457/106*x^3*y + 11950849/44944*x^2*y^2 - 58232629/12490563*x^3*z + 
        55804452253/661999839*x^2*y*z - 19844221/44944*x*y^2*z + 
        4927110681467677/624056656227876*x^2*z^2 - 
        372841060471/5295998712*x*y*z^2 + 33061129/179776*y^2*z^2 - 
        1790341389556447/312028328113938*x*z^3 + 100737456635/5295998712*y*z^3 +
        945233073197449/624056656227876*z^4,
    x^4 + 92/9*x^3*y + 2116/81*x^2*y^2 + 8554/5765*x^3*z - 990932/17295*x^2*y*z 
        - 392/81*x*y^2*z - 11362431/33235225*x^2*z^2 + 221476/5765*x*y*z^2 - 
        556/405*y^2*z^2 - 22000888/33235225*x*z^3 - 1772912/259425*y*z^3 + 
        6615184/33235225*z^4,
    x^4 - 17/5*x^3*y + 289/100*x^2*y^2 - 4401/100*x^3*z + 181109/3000*x^2*y*z + 
        463/75*x*y^2*z + 20049601/40000*x^2*z^2 + 9301/750*x*y*z^2 + 
        907/75*y^2*z^2 - 3745251/10000*x*z^3 + 104189/750*y*z^3 + 
        724201/10000*z^4,
    x^4 - 1898/4739*x^3*y + 900601/22458121*x^2*y^2 + 980227651/111528980*x^3*z 
        - 5026497939109/1585607508660*x^2*y*z + 109833803/336871815*x*y^2*z + 
        792056888872046961/49754853519361600*x^2*z^2 - 
        125430389482721/7928037543300*x*y*z^2 + 24257237483/6737436300*y^2*z^2 -
        741744418361120629/49754853519361600*x*z^3 - 
        34388806823657/31712150173200*y*z^3 + 
        572604392678025841/199019414077446400*z^4,
    x^4 - 173/19*x^3*y + 29929/1444*x^2*y^2 + 2369969/1964220*x^3*z - 
        1388060287/74640360*x^2*y*z + 86015/1444*x*y^2*z - 
        25336073891639/15432640833600*x^2*z^2 - 33167543/14928072*x*y*z^2 + 
        313273/5776*y^2*z^2 - 3734675359177/3086528166720*x*z^3 + 
        3560547809/298561440*y*z^3 + 2483249643889/2469222533376*z^4,
    x^4 - 12814/5915*x^3*y + 41049649/34987225*x^2*y^2 - 18539894/6488885*x^3*z 
        + 90961020792/38381754775*x^2*y*z + 16492534/34987225*x*y^2*z + 
        34526113879989/42105628543225*x^2*z^2 - 102976404998/38381754775*x*y*z^2
        + 47448361/34987225*y^2*z^2 + 73437743767004/42105628543225*x*z^3 - 
        68707661852/38381754775*y*z^3 + 15690043856356/42105628543225*z^4,
    x^4 - 18217/6125*x^3*y + 331859089/150062500*x^2*y^2 - 
        132577276/144725775*x^3*z - 5284921850821/886445371875*x^2*y*z + 
        476948743/75031250*x*y^2*z - 23932552735950506/20945549949350625*x^2*z^\
        2 - 6214118354629/886445371875*x*y*z^2 + 473636641/150062500*y^2*z^2 + 
        12974473730857756/20945549949350625*x*z^3 - 
        2418492305599/886445371875*y*z^3 + 9577260913437361/20945549949350625*z\
        ^4,
    x^4 - 4/5*x^3*y + 4/25*x^2*y^2 + 1420/101*x^3*z - 13734/505*x^2*y*z + 
        234/25*x*y^2*z - 315818/10201*x^2*z^2 + 74484/505*x*y*z^2 - 
        1134/25*y^2*z^2 - 5763780/10201*x*z^3 - 4050/101*y*z^3 + 
        16475481/10201*z^4,
    x^4 - 154/75*x^3*y + 5929/5625*x^2*y^2 + 358/65*x^3*z - 11134/4875*x^2*y*z -
        13336/5625*x*y^2*z + 54401/4225*x^2*z^2 + 42976/4875*x*y*z^2 + 
        3856/5625*y^2*z^2 + 61576/4225*x*z^3 - 224/125*y*z^3 + 29584/4225*z^4,
    x^4 - 49/36*x^3*y + 2401/5184*x^2*y^2 + 25676/30465*x^3*z + 
        6939887/2193480*x^2*y*z - 34973/25920*x*y^2*z + 
        1295338523/1856232450*x^2*z^2 - 17519063/21934800*x*y*z^2 + 
        294889/518400*y^2*z^2 + 203475881/928116225*x*z^3 - 
        16040927/43869600*y*z^3 + 1004826601/14849859600*z^4,
    x^4 + 362/27*x^3*y + 32761/729*x^2*y^2 + 1160710/969273*x^3*z - 
        425654284/183192597*x^2*y*z + 37054/1701*x*y^2*z + 
        464197660777/939490148529*x^2*z^2 - 265613038/61064199*x*y*z^2 + 
        1711/567*y^2*z^2 + 25424191840/313163382843*x*z^3 - 
        14497216/20354733*y*z^3 + 479785216/104387794281*z^4,
    x^4 - 3872/1099*x^3*y + 3748096/1207801*x^2*y^2 - 2168840/63899*x^3*z + 
        161144630/6384091*x^2*y*z + 6150650/1207801*x*y^2*z + 
        1112306079670/4083082201*x^2*z^2 - 3265664928/70225001*x*y*z^2 + 
        4990346/1207801*y^2*z^2 + 98215919400/371189291*x*z^3 - 
        385711990/6384091*y*z^3 + 2050731225/33744481*z^4,
    x^4 - 136/65*x^3*y + 4624/4225*x^2*y^2 - 221/196*x^3*z + 12279/3185*x^2*y*z 
        - 16768/4225*x*y^2*z - 230263/153664*x^2*z^2 - 1668/455*x*y*z^2 + 
        18944/4225*y^2*z^2 + 19669/19208*x*z^3 + 10336/3185*y*z^3 + 
        7921/9604*z^4,
    x^4 - 241/110*x^3*y + 58081/48400*x^2*y^2 - 209200/177969*x^3*z + 
        9922861/1305106*x^2*y*z - 88237/18150*x*y^2*z - 
        13083891454/10557654987*x^2*z^2 - 602241809/58729770*x*y*z^2 + 
        238123/54450*y^2*z^2 + 88501432400/95018894883*x*z^3 + 
        312561551/58729770*y*z^3 + 178968764209/285056684649*z^4,
    x^4 - 1478/805*x^3*y + 546121/648025*x^2*y^2 - 76302844/19666311*x^3*z + 
        43138389062/15831380355*x^2*y*z - 7330262/1944075*x*y^2*z + 
        2124823353087814/386763788348721*x^2*z^2 + 
        152331924074/47494141065*x*y*z^2 + 23744641/5832225*y^2*z^2 - 
        1298385598615460/386763788348721*x*z^3 - 4173948150/1055425357*y*z^3 + 
        289551572926225/386763788348721*z^4,
    x^4 - 827/436*x^3*y + 683929/760384*x^2*y^2 - 407673448/284410103*x^3*z + 
        4132862096479/868019634356*x^2*y*z - 10727877/2661344*x*y^2*z + 
        24634643058536902/80889106688470609*x^2*z^2 - 
        3167736506577/868019634356*x*y*z^2 + 18205623/5322688*y^2*z^2 + 
        12122813692654392/80889106688470609*x*z^3 + 
        569578201749/868019634356*y*z^3 + 884264130623241/80889106688470609*z^4\
        ,
    x^4 - 815/427*x^3*y + 664225/729316*x^2*y^2 - 6685816/1140273*x^3*z + 
        1299104803/486896571*x^2*y*z - 1409931/364658*x*y^2*z + 
        14415842559046/1300222514529*x^2*z^2 + 977303101/162298857*x*y*z^2 + 
        3023897/729316*y^2*z^2 - 3166997495224/433407504843*x*z^3 - 
        2617431451/486896571*y*z^3 + 224381268721/144469168281*z^4,
    x^4 + 1127/1004*x^3*y + 1270129/4032064*x^2*y^2 - 537137/202055*x^3*z - 
        89834213/14490230*x^2*y*z - 15925189/4032064*x*y^2*z + 
        379213796949/163304892100*x^2*z^2 + 5327361517/811452880*x*y*z^2 + 
        61693993/16128256*y^2*z^2 - 60276977003/81652446050*x*z^3 - 
        225077981/162290576*y*z^3 + 12593103961/163304892100*z^4,
    x^4 + 25/28*x^3*y + 625/3136*x^2*y^2 + 318004/202699*x^3*z - 
        44348259/1418893*x^2*y*z + 6431/784*x*y^2*z - 
        420889673244/41086884601*x^2*z^2 + 146852827/1418893*x*y*z^2 - 
        13487/784*y^2*z^2 - 349987570304/41086884601*x*z^3 - 
        126447568/1418893*y*z^3 + 1211267531776/41086884601*z^4,
    x^4 - 662/371*x^3*y + 109561/137641*x^2*y^2 - 32566/317099*x^3*z + 
        113363879/117643729*x^2*y*z - 75017/137641*x*y^2*z - 
        362309941473/201103551602*x^2*z^2 + 219419539/235287458*x*y*z^2 - 
        199751/550564*y^2*z^2 + 18631806467/201103551602*x*z^3 + 
        79447523/470574916*y*z^3 + 1309305774001/1608828412816*z^4,
    x^4 - 393/154*x^3*y + 154449/94864*x^2*y^2 - 376033/169356*x^3*z + 
        7761983/17387216*x^2*y*z + 242127/189728*x*y^2*z - 
        301670551739/114725818944*x^2*z^2 - 62895229/26080824*x*y*z^2 + 
        1165201/1517824*y^2*z^2 + 327927474343/76483879296*x*z^3 - 
        179616867/39742208*y*z^3 + 760507829041/203957011456*z^4,
    x^4 + 14/11*x^3*y + 49/121*x^2*y^2 - 3172/2541*x^3*z + 30714/9317*x^2*y*z + 
        634/363*x*y^2*z + 172594/6456681*x^2*z^2 - 39442/83853*x*y*z^2 + 
        421/1089*y^2*z^2 + 1462292/6456681*x*z^3 - 15082/83853*y*z^3 + 
        212521/6456681*z^4,
    x^4 - 222/125*x^3*y + 12321/15625*x^2*y^2 + 69994/33525*x^3*z - 
        6902222/1396875*x^2*y*z + 43268/15625*x*y^2*z + 
        137775409/1123925625*x^2*z^2 - 107281384/12571875*x*y*z^2 + 
        1060924/140625*y^2*z^2 - 378247576/374641875*x*z^3 - 40852/1396875*y*z^3
        + 29203216/124880625*z^4,
    x^4 - 115/77*x^3*y + 13225/23716*x^2*y^2 + 78780/39617*x^3*z - 
        4116767/435787*x^2*y*z + 90087/11858*x*y^2*z - 
        490050378/1569506689*x^2*z^2 - 60414609/3050509*x*y*z^2 + 
        255753/23716*y^2*z^2 - 2029924260/1569506689*x*z^3 - 
        42144435/3050509*y*z^3 + 663938289/1569506689*z^4,
    x^4 - 5540/3729*x^3*y + 7672900/13905441*x^2*y^2 - 32800049/17573873*x^3*z +
        1281353093588/196598917251*x^2*y*z - 5461364/1545049*x*y^2*z + 
        8446318450757709/1235364048880516*x^2*z^2 - 
        3474260651815/196598917251*x*y*z^2 + 131786153/13905441*y^2*z^2 - 
        3439081824845051/617682024440258*x*z^3 - 277046326477/196598917251*y*z^3
        + 10993501320310201/1235364048880516*z^4,
    x^4 + 30/13*x^3*y + 225/169*x^2*y^2 - 73894/21489*x^3*z - 
        2262756/465595*x^2*y*z - 6054/845*x*y^2*z + 1787296681/461777121*x^2*z^2
        - 3519746/1396785*x*y*z^2 + 7301/845*y^2*z^2 - 725934656/461777121*x*z^3
        + 9078272/1396785*y*z^3 + 96510976/461777121*z^4,
    x^4 - 1571/2475*x^3*y + 2468041/24502500*x^2*y^2 + 13848194/2698005*x^3*z - 
        26344888888/6677562375*x^2*y*z + 3638939/4083750*x*y^2*z + 
        34975665457849/7279230980025*x^2*z^2 - 25514647009/2225854125*x*y*z^2 + 
        11598481/2722500*y^2*z^2 - 11093123500088/2426410326675*x*z^3 - 
        1107583738/741951375*y*z^3 + 641684306704/808803442225*z^4,
    x^4 + 149/52*x^3*y + 22201/10816*x^2*y^2 + 69417/197990*x^3*z - 
        197645469/20590960*x^2*y*z - 19011/3380*x*y^2*z - 
        236184211631/156800160400*x^2*z^2 + 72536351/6434675*x*y*z^2 + 
        13841/4225*y^2*z^2 - 2640553263/9800010025*x*z^3 - 
        27985476/6434675*y*z^3 + 5787862084/9800010025*z^4,
    x^4 - 73/15*x^3*y + 5329/900*x^2*y^2 - 102412/6295*x^3*z + 
        6879937/94425*x^2*y*z - 37531/450*x*y^2*z + 4387663446/39627025*x^2*z^2 
        - 33670781/94425*x*y*z^2 + 280009/900*y^2*z^2 - 
        14362156468/39627025*x*z^3 + 44799947/94425*y*z^3 + 
        19666977121/39627025*z^4,
    x^4 - 4382/1375*x^3*y + 4800481/1890625*x^2*y^2 - 58858/31465*x^3*z - 
        34289604/6180625*x^2*y*z + 10387678/1890625*x*y^2*z - 
        664139839/990046225*x^2*z^2 - 291318574/43264375*x*y*z^2 + 
        3782241/1890625*y^2*z^2 + 1431191128/990046225*x*z^3 - 
        96525768/43264375*y*z^3 + 591267856/990046225*z^4,
    x^4 - 23*x^3*y + 529/4*x^2*y^2 - 14575/5004*x^3*z + 105973/5004*x^2*y*z - 
        1773/16*x*y^2*z + 294155953/100160064*x^2*z^2 - 502045/80064*x*y*z^2 + 
        5977/256*y^2*z^2 - 19836575/16693344*x*z^3 + 15563/26688*y*z^3 + 
        1852321/11128896*z^4,
    x^4 - 6197/2961*x^3*y + 38402809/35070084*x^2*y^2 - 696212/120368175*x^3*z +
        2128949827507/356410166175*x^2*y*z - 62707885/17535042*x*y^2*z - 
        24916583353048514/14488497552830625*x^2*z^2 - 
        73538755603/10183147605*x*y*z^2 + 485221301/175350420*y^2*z^2 + 
        14411873150708/2897699510566125*x*z^3 + 
        5697666009029/1782050830875*y*z^3 + 428506932767281/579539902113225*z^4\
        ,
    x^4 + 853/496*x^3*y + 727609/984064*x^2*y^2 + 4738812/3147151*x^3*z - 
        8508760471/1560986896*x^2*y*z - 12298369/3444224*x*y^2*z - 
        37138935570938/9904559416801*x^2*z^2 + 130081749927/10926908272*x*y*z^2 
        + 219327753/48219136*y^2*z^2 - 32187608083644/9904559416801*x*z^3 - 
        97736813275/10926908272*y*z^3 + 46135841921569/9904559416801*z^4,
    x^4 + 45/62*x^3*y + 2025/15376*x^2*y^2 - 142210/53723*x^3*z - 
        257106309/46631564*x^2*y*z - 303879/107632*x*y^2*z + 
        16269733479/5772321458*x^2*z^2 + 582457135/93263128*x*y*z^2 + 
        974959/430528*y^2*z^2 - 8150268415/5772321458*x*z^3 - 
        331298659/186526256*y*z^3 + 13138432129/46178571664*z^4,
    x^4 + 237/74*x^3*y + 56169/21904*x^2*y^2 + 277364/64269*x^3*z - 
        24378257/1585302*x^2*y*z - 49935/5476*x*y^2*z - 
        10165357394/4130504361*x^2*z^2 + 150861149/4755906*x*y*z^2 + 
        43143/5476*y^2*z^2 - 21145399268/1376834787*x*z^3 - 
        97959211/4755906*y*z^3 + 5812080169/458944929*z^4,
    x^4 - 5587/3185*x^3*y + 31214569/40576900*x^2*y^2 - 117054962/20842185*x^3*z
        + 450494122738/66382359225*x^2*y*z - 41975413/20288450*x*y^2*z + 
        3380885932390201/434396675574225*x^2*z^2 - 
        420015402487/66382359225*x*y*z^2 + 27012001/40576900*y^2*z^2 + 
        125186536100216/434396675574225*x*z^3 + 108595785232/66382359225*y*z^3 +
        1143761803024/434396675574225*z^4,
    x^4 + 63/118*x^3*y + 3969/55696*x^2*y^2 + 128747774/1698433*x^3*z - 
        17902792025/601245282*x^2*y*z - 223471/41772*x*y^2*z + 
        4197811205590093/2884674655489*x^2*z^2 + 64627181332/300622641*x*y*z^2 +
        131723/41772*y^2*z^2 + 2039649787731636/2884674655489*x*z^3 + 
        23689890038/300622641*y*z^3 + 250975744421796/2884674655489*z^4,
    x^4 - 1049/392*x^3*y + 1100401/614656*x^2*y^2 - 5549504/1547917*x^3*z + 
        3856189933/606783464*x^2*y*z - 881575/307328*x*y^2*z + 
        11309248059726/2396047038889*x^2*z^2 - 2804324471/606783464*x*y*z^2 + 
        1143937/614656*y^2*z^2 - 6471182272832/2396047038889*x*z^3 + 
        604489687/606783464*y*z^3 + 1359749562889/2396047038889*z^4,
    x^4 - 6838/3521*x^3*y + 11689561/12397441*x^2*y^2 - 58173881/152918539*x^3*z
        + 454231717174/76918025117*x^2*y*z - 73473797/12397441*x*y^2*z - 
        18232276773033531/93536318279578084*x^2*z^2 - 
        5596067086483/1076852351638*x*y*z^2 + 239040769/49589764*y^2*z^2 + 
        2055856635675017/46768159139789042*x*z^3 + 
        823675249591/1076852351638*y*z^3 + 1248905492780449/93536318279578084*z\
        ^4,
    x^4 - 484/207*x^3*y + 58564/42849*x^2*y^2 - 164393/111343*x^3*z + 
        49493924/23048001*x^2*y*z - 8164/14283*x*y^2*z + 
        13071999061/49589054596*x^2*z^2 - 339327/2560889*x*y*z^2 - 
        367/4761*y^2*z^2 + 5150268297/24794527298*x*z^3 - 6605701/23048001*y*z^3
        + 981506241/49589054596*z^4,
    x^4 - 4/77*x^3*y + 4/5929*x^2*y^2 + 3953/511*x^3*z - 982020/39347*x^2*y*z - 
        16316/5929*x*y^2*z - 9703039/1044484*x^2*z^2 + 2128405/39347*x*y*z^2 + 
        37041/5929*y^2*z^2 - 24492788/261121*x*z^3 - 431232/39347*y*z^3 + 
        38390416/261121*z^4,
    x^4 + 2122/395*x^3*y + 1125721/156025*x^2*y^2 - 1343806/8579795*x^3*z - 
        38214539896/3389019025*x^2*y*z - 1801582/156025*x*y^2*z - 
        36001178183291/73612882242025*x^2*z^2 + 28257658238/3389019025*x*y*z^2 +
        644281/156025*y^2*z^2 + 570937479996/14722576448405*x*z^3 - 
        6978041004/3389019025*y*z^3 + 180511117956/2944515289681*z^4,
    x^4 - 1577/2480*x^3*y + 2486929/24601600*x^2*y^2 + 2051452/85157*x^3*z + 
        212230137/42237872*x^2*y*z - 22739723/12300800*x*y^2*z + 
        1308924346686/7251714649*x^2*z^2 + 181901073/211189360*x*y*z^2 + 
        175703401/24601600*y^2*z^2 + 3093312669980/7251714649*x*z^3 - 
        27315593849/211189360*y*z^3 + 2273656858225/7251714649*z^4,
    x^4 - 2591/1169*x^3*y + 6713281/5466244*x^2*y^2 - 216799/872742*x^3*z - 
        656668525/291495828*x^2*y*z + 3590192/1366561*x*y^2*z - 
        2834122011743/3046714394256*x^2*z^2 - 3108818879/1020235398*x*y*z^2 + 
        4547104/1366561*y^2*z^2 + 44731487273/380839299282*x*z^3 - 
        597628273/510117699*y*z^3 + 42570830929/190419649641*z^4,
    x^4 - 273/125*x^3*y + 74529/62500*x^2*y^2 + 687929/108850*x^3*z - 
        26441019/3887500*x^2*y*z - 46571/187500*x*y^2*z + 
        39760545141/47393290000*x^2*z^2 + 421965148/20409375*x*y*z^2 - 
        25677671/2250000*y^2*z^2 - 1369809040303/47393290000*x*z^3 + 
        13570140989/326550000*y*z^3 + 3964905316849/189573160000*z^4,
    x^4 + 166/15*x^3*y + 6889/225*x^2*y^2 - 43213/18439*x^3*z - 
        181014/18439*x^2*y*z - 7487/225*x*y^2*z + 2839762473/1359986884*x^2*z^2 
        + 135307/184390*x*y*z^2 + 8521/900*y^2*z^2 - 284860096/339996721*x*z^3 +
        194132/276585*y*z^3 + 43454464/339996721*z^4,
    x^4 - 1530/763*x^3*y + 585225/582169*x^2*y^2 + 12047/88290*x^3*z + 
        1474409/356430*x^2*y*z - 2403666/582169*x*y^2*z + 
        7223516089/31180496400*x^2*z^2 - 233802763/67365270*x*y*z^2 + 
        2125582/582169*y^2*z^2 + 26828669/1732249800*x*z^3 - 
        1740146/3742515*y*z^3 + 4959529/384944400*z^4,
    x^4 - 907/143*x^3*y + 822649/81796*x^2*y^2 - 14212156/5691785*x^3*z + 
        574799239/62609635*x^2*y*z - 2094761/204490*x*y^2*z + 
        68800453471454/32396416486225*x^2*z^2 - 18946918389/4069626275*x*y*z^2 +
        5629849/2044900*y^2*z^2 - 22852308330796/32396416486225*x*z^3 + 
        3079549453/4069626275*y*z^3 + 2585474259481/32396416486225*z^4,
    x^4 - 634/275*x^3*y + 100489/75625*x^2*y^2 - 3289/1460*x^3*z + 
        22060229/6825500*x^2*y*z - 53456/75625*x*y^2*z + 
        160631297/144948800*x^2*z^2 + 75161/1706375*x*y*z^2 - 
        45044/75625*y^2*z^2 + 818961/4529650*x*z^3 - 1082541/1706375*y*z^3 + 
        248004/38502025*z^4,
    x^4 - 998/735*x^3*y + 249001/540225*x^2*y^2 - 108793/186417*x^3*z - 
        53818819/137016495*x^2*y*z + 931946/1620675*x*y^2*z + 
        167650453573/139005191556*x^2*z^2 - 325154188/82209897*x*y*z^2 + 
        13129729/4862025*y^2*z^2 - 6200004277/18955253394*x*z^3 + 
        1399936757/1233148455*y*z^3 + 3247746121/10339229124*z^4,
    x^4 + 38/33*x^3*y + 361/1089*x^2*y^2 + 15025/21593*x^3*z - 
        4863125/712569*x^2*y*z - 2032/363*x*y^2*z - 
        3173246691/1865030596*x^2*z^2 + 1228468/237523*x*y*z^2 + 
        1868/363*y^2*z^2 - 591278825/932515298*x*z^3 - 422803/1425138*y*z^3 + 
        1548658609/1865030596*z^4,
    x^4 - 18/53*x^3*y + 81/2809*x^2*y^2 - 193461/530*x^3*z - 
        15115609/70225*x^2*y*z - 21451/16854*x*y^2*z + 1513790601/44944*x^2*z^2 
        + 893391673/1685400*x*y*z^2 + 681481/404496*y^2*z^2 - 
        190543801581/2809000*x*z^3 - 184388663/561800*y*z^3 + 
        970069376241/28090000*z^4,
    x^4 - 538/159*x^3*y + 72361/25281*x^2*y^2 - 4369762/2434025*x^3*z + 
        594648316/129003325*x^2*y*z - 28502/8427*x*y^2*z + 
        5515070054761/5924477700625*x^2*z^2 - 243731578/129003325*x*y*z^2 + 
        7621/2809*y^2*z^2 - 665479794504/5924477700625*x*z^3 - 
        670116/129003325*y*z^3 + 23192853264/5924477700625*z^4,
    x^4 - 13/17*x^3*y + 169/1156*x^2*y^2 - 119824/3519*x^3*z + 
        2029442/59823*x^2*y*z - 2283/289*x*y^2*z + 4140016408/12383361*x^2*z^2 -
        5168596/19941*x*y*z^2 + 14561/289*y^2*z^2 - 1041510208/1375929*x*z^3 + 
        16184104/59823*y*z^3 + 75550864/152881*z^4,
    x^4 - 20473/5408*x^3*y + 419143729/116985856*x^2*y^2 + 
        21582713/31900596*x^3*z + 549156623881/345036846336*x^2*y*z + 
        52663437/58492928*x*y^2*z + 1162748756107201/4070592100620864*x^2*z^2 + 
        79690872587/57506141056*x*y*z^2 + 69166841/116985856*y^2*z^2 + 
        39293293043383/678432016770144*x*z^3 + 27929487137/345036846336*y*z^3 + 
        3314551589281/452288011180096*z^4,
    x^4 - 538/117*x^3*y + 72361/13689*x^2*y^2 - 8246/201643*x^3*z - 
        62278876/23592231*x^2*y*z + 74486/13689*x*y^2*z - 
        64936244031/40659899449*x^2*z^2 + 47358658/23592231*x*y*z^2 + 
        106129/13689*y^2*z^2 + 1328100760/40659899449*x*z^3 + 
        81997432/23592231*y*z^3 + 25940323600/40659899449*z^4,
    x^4 - 1778/951*x^3*y + 790321/904401*x^2*y^2 + 473267731/166413588*x^3*z + 
        21478223635/7193605554*x^2*y*z - 35982739/10852812*x*y^2*z - 
        362220120400975943/110773929084134976*x^2*z^2 - 
        43020265620743/3798223732512*x*y*z^2 + 2482489465/520934976*y^2*z^2 - 
        10165339837732357/1350901574196768*x*z^3 + 
        41353983628939/3798223732512*y*z^3 + 461349460028209/65897637765696*z^4,
    x^4 - 272/115*x^3*y + 18496/13225*x^2*y^2 - 75432/43171*x^3*z + 
        7386756/4964665*x^2*y*z + 936/13225*x*y^2*z + 
        779766808/1863735241*x^2*z^2 - 1039208/992933*x*y*z^2 + 
        4064/13225*y^2*z^2 + 561515808/1863735241*x*z^3 - 1028256/4964665*y*z^3 
        + 55413136/1863735241*z^4,
    x^4 - 3769/1967*x^3*y + 14205361/15476356*x^2*y^2 - 315723668/97815257*x^3*z
        + 1602676658833/192402610519*x^2*y*z - 40572729/7738178*x*y^2*z + 
        32395416419855190/9567824501976049*x^2*z^2 - 
        2402145034563/192402610519*x*y*z^2 + 102142401/15476356*y^2*z^2 - 
        12063826927897108/9567824501976049*x*z^3 + 
        1149088445635/192402610519*y*z^3 + 1460010290026561/9567824501976049*z^\
        4,
    x^4 - 282/55*x^3*y + 19881/3025*x^2*y^2 - 76858/8523*x^3*z + 
        2837506/156255*x^2*y*z - 89468/3025*x*y^2*z + 
        2500536709/72641529*x^2*z^2 - 5265008/1406295*x*y*z^2 + 
        925684/27225*y^2*z^2 - 4615937764/72641529*x*z^3 - 8004664/281259*y*z^3 
        + 3606963364/72641529*z^4,
    x^4 - 3938/1645*x^3*y + 3876961/2706025*x^2*y^2 - 1352602/1124663*x^3*z - 
        823627162/1850070635*x^2*y*z + 4167364/2706025*x*y^2*z - 
        952256065643/1264866863569*x^2*z^2 - 697420232/370014127*x*y*z^2 + 
        2820484/2706025*y^2*z^2 + 847667557788/1264866863569*x*z^3 - 
        1999144824/1850070635*y*z^3 + 392745369636/1264866863569*z^4,
    x^4 - 34/35*x^3*y + 289/1225*x^2*y^2 + 5025/2618*x^3*z - 
        215617/91630*x^2*y*z + 1033/1225*x*y^2*z - 13794227/27415696*x^2*z^2 - 
        202044/45815*x*y*z^2 + 14001/4900*y^2*z^2 - 37471425/27415696*x*z^3 - 
        371257/366520*y*z^3 + 55606849/109662784*z^4,
    x^4 - 1438/747*x^3*y + 516961/558009*x^2*y^2 - 37422381/12926254*x^3*z + 
        349533649/146301693*x^2*y*z + 2108041/1116018*x*y^2*z + 
        789306801162049/668352169890064*x^2*z^2 - 14992267705/4291516328*x*y*z^2
        + 4080721/8928144*y^2*z^2 + 442314094186167/334176084945032*x*z^3 - 
        24751319803/38623646952*y*z^3 + 139700745723049/668352169890064*z^4,
    x^4 - 2281/588*x^3*y + 5202961/1382976*x^2*y^2 - 3307744/852341*x^3*z + 
        6648605491/501176508*x^2*y*z - 2546693/230496*x*y^2*z + 
        4183472796526/726485180281*x^2*z^2 - 2425846897/167058836*x*y*z^2 + 
        1229449/153664*y^2*z^2 - 2810031068064/726485180281*x*z^3 + 
        828813567/167058836*y*z^3 + 721702919961/726485180281*z^4,
    x^4 - 676/209*x^3*y + 114244/43681*x^2*y^2 - 103805/25669*x^3*z - 
        19570956/5364821*x^2*y*z + 749204/305767*x*y^2*z + 
        7807422893/2635590244*x^2*z^2 - 172751295/37553747*x*y*z^2 + 
        738497/2140369*y^2*z^2 + 3000691135/1317795122*x*z^3 - 
        3614813/5364821*y*z^3 + 835614649/2635590244*z^4,
    x^4 - 37/29*x^3*y + 1369/3364*x^2*y^2 - 4946495/2366574*x^3*z + 
        1120765165/137261292*x^2*y*z - 21847/2523*x*y^2*z + 
        23510031888337/22402689989904*x^2*z^2 - 2510923/219501*x*y*z^2 + 
        75001/7569*y^2*z^2 + 3972035485/88899563452*x*z^3 + 
        51156871/11438441*y*z^3 + 5803281/12699937636*z^4,
    x^4 - 71/45*x^3*y + 5041/8100*x^2*y^2 - 112955/2086*x^3*z - 
        1931693/187740*x^2*y*z - 32521/14175*x*y^2*z + 
        1980416751/2486512*x^2*z^2 + 40932581/328545*x*y*z^2 + 
        290401/99225*y^2*z^2 - 52312058465/30459772*x*z^3 - 
        31224693/255535*y*z^3 + 214482913129/213218404*z^4,
    x^4 + 2309/1824*x^3*y + 5331481/13307904*x^2*y^2 - 16899872/3150751*x^3*z - 
        12051486331/5746969824*x^2*y*z - 17992117/6653952*x*y^2*z + 
        98055618689230/9927231864001*x^2*z^2 - 64868258491/5746969824*x*y*z^2 + 
        88513249/13307904*y^2*z^2 - 71483365883424/9927231864001*x*z^3 + 
        30285623977/1915656608*y*z^3 + 17891351853489/9927231864001*z^4,
    x^4 - 64/21*x^3*y + 1024/441*x^2*y^2 + 3594/1561*x^3*z - 17832/10927*x^2*y*z
        - 1304/441*x*y^2*z - 17528969/2436721*x^2*z^2 + 390344/10927*x*y*z^2 - 
        10727/441*y^2*z^2 - 23896506/2436721*x*z^3 + 1494034/32781*y*z^3 + 
        44209201/2436721*z^4,
    x^4 - 706/309*x^3*y + 124609/95481*x^2*y^2 - 1683141/2582210*x^3*z + 
        900345911/265967630*x^2*y*z + 511808/95481*x*y^2*z - 
        48493769147879/26671233936400*x^2*z^2 + 405893048/132983815*x*y*z^2 + 
        890164/95481*y^2*z^2 + 1045496497278/1666952121025*x*z^3 - 
        2506112236/398951445*y*z^3 + 1543349043856/1666952121025*z^4,
    x^4 - 1442/37*x^3*y + 519841/1369*x^2*y^2 + 1315486/3125871*x^3*z + 
        601266904/5507487*x^2*y*z - 1758190/4107*x*y^2*z - 
        8561205208055/9771069508641*x^2*z^2 - 30013929122/346971681*x*y*z^2 + 
        1484905/12321*y^2*z^2 - 270353420776/1395867072663*x*z^3 + 
        1043254984/49567383*y*z^3 + 42236826256/199409581809*z^4,
    x^4 - 2866/2233*x^3*y + 2053489/4986289*x^2*y^2 - 7226/75893*x^3*z - 
        455399414/169469069*x^2*y*z + 8785432/4986289*x*y^2*z + 
        38011161009/5759747449*x^2*z^2 - 2652712248/169469069*x*y*z^2 + 
        43467664/4986289*y^2*z^2 - 1808956840/5759747449*x*z^3 + 
        1583571040/169469069*y*z^3 + 62670115600/5759747449*z^4,
    x^4 - 90/19*x^3*y + 2025/361*x^2*y^2 - 5857839/834100*x^3*z + 
        48593461/1584790*x^2*y*z - 47535/1444*x*y^2*z + 
        47639250456921/2782891240000*x^2*z^2 - 7199332329/126783200*x*y*z^2 + 
        957321/23104*y^2*z^2 - 9358055964153/556578248000*x*z^3 + 
        1538586981/50713280*y*z^3 + 2552092515729/445262598400*z^4,
    x^4 + 500/407*x^3*y + 62500/165649*x^2*y^2 - 1099657/121434*x^3*z - 
        97467631744/6548632035*x^2*y*z - 14697766/2484735*x*y^2*z + 
        79082112969089/3126197867472*x^2*z^2 + 2840500406303/78583584420*x*y*z^2
        + 352608941/29816820*y^2*z^2 - 22627062569761/1042065955824*x*z^3 - 
        841689455113/52389056280*y*z^3 + 423391241119729/73639327544896*z^4,
    x^4 + 169/88*x^3*y + 28561/30976*x^2*y^2 + 521603/498344*x^3*z + 
        10058149/87708544*x^2*y*z - 79697/54208*x*y^2*z - 
        322965006647/993386969344*x^2*z^2 + 155185291/153489952*x*y*z^2 + 
        134929/379456*y^2*z^2 - 77850812559/248346742336*x*z^3 - 
        50470989/153489952*y*z^3 + 22276458009/248346742336*z^4,
    x^4 - 146/199*x^3*y + 5329/39601*x^2*y^2 + 17656619/5249222*x^3*z - 
        2573133263/522297589*x^2*y*z + 165745/79202*x*y^2*z + 
        196680314188153/110217326421136*x^2*z^2 - 40701122707/4178380712*x*y*z^2
        + 3025585/633616*y^2*z^2 - 12096143574663/6888582901321*x*z^3 - 
        2187281103/522297589*y*z^3 + 1877321983716/6888582901321*z^4,
    x^4 - 137/10*x^3*y + 18769/400*x^2*y^2 + 931495/31998*x^3*z + 
        46623599/213320*x^2*y*z - 28843/1200*x*y^2*z + 
        837117613477/4095488016*x^2*z^2 - 25979819/239985*x*y*z^2 + 
        44521/14400*y^2*z^2 - 444894121435/4095488016*x*z^3 + 
        104804627/7679520*y*z^3 + 228114177769/16381952064*z^4,
    x^4 - 5731/2912*x^3*y + 32844361/33918976*x^2*y^2 - 9857436/11495809*x^3*z +
        80472667279/33475795808*x^2*y*z - 25893671/16959488*x*y^2*z - 
        25980636004826/132153624564481*x^2*z^2 - 5203248575/4782256544*x*y*z^2 +
        40708201/33918976*y^2*z^2 + 21554023121700/132153624564481*x*z^3 - 
        108038059/33475795808*y*z^3 + 4781110230625/132153624564481*z^4,
    x^4 - 289/71*x^3*y + 83521/20164*x^2*y^2 + 4790822/957009*x^3*z - 
        213211870/67947639*x^2*y*z - 2893/10082*x*y^2*z - 
        4301681317199/915866226081*x^2*z^2 + 347204251/67947639*x*y*z^2 - 
        205799/20164*y^2*z^2 - 25129490269480/915866226081*x*z^3 + 
        1136173460/67947639*y*z^3 + 27513591715600/915866226081*z^4,
    x^4 - 12946/3377*x^3*y + 41899729/11404129*x^2*y^2 + 
        41721582/852325021*x^3*z - 200251115255916/14391507979585*x^2*y*z + 
        856138782/57020645*x*y^2*z - 802335521668710623/726457941422650441*x^2*\
        z^2 - 238976844859618/14391507979585*x*y*z^2 + 
        556605853/57020645*y^2*z^2 - 19647940939760784/726457941422650441*x*z^3 
        - 8265220433376/1308318907235*y*z^3 + 
        221774982016327744/726457941422650441*z^4,
    x^4 + 34861/15609*x^3*y + 1215289321/974563524*x^2*y^2 + 
        4650287760/2860752719*x^3*z - 81317334273/14884496396957*x^2*y*z - 
        1081616951/487281762*x*y^2*z - 26298152878261801202/8183906119265892961\
        *x^2*z^2 + 79602918795143/14884496396957*x*y*z^2 + 
        5694513577/974563524*y^2*z^2 - 25768532975242253040/8183906119265892961\
        *x*z^3 - 15749065830563/1941456051777*y*z^3 + 
        30705751666250772241/8183906119265892961*z^4,
    x^4 + 32/5*x^3*y + 256/25*x^2*y^2 - 5377/753*x^3*z - 19144/753*x^2*y*z - 
        1232/75*x*y^2*z + 38979739/2268036*x^2*z^2 + 424354/11295*x*y*z^2 + 
        2401/225*y^2*z^2 - 35945245/2268036*x*z^3 - 376369/22590*y*z^3 + 
        44689225/9072144*z^4,
    x^4 - 1422/637*x^3*y + 505521/405769*x^2*y^2 + 3004969/4543182*x^3*z + 
        248603337/53592721*x^2*y*z - 3855717/811538*x*y^2*z + 
        35115535816729/82562010740496*x^2*z^2 + 36018926911/11576027736*x*y*z^2 
        + 1118329/6492304*y^2*z^2 + 1437808552213/13760335123416*x*z^3 + 
        11936863/226980936*y*z^3 + 228940239529/9173556748944*z^4,
    x^4 + 232/15*x^3*y + 13456/225*x^2*y^2 - 2503803/747800*x^3*z + 
        27365077/467375*x^2*y*z + 61982/1125*x*y^2*z + 
        2091158804089/2236819360000*x^2*z^2 + 3141993953/74780000*x*y*z^2 + 
        1154641/90000*y^2*z^2 + 17485566142209/5592048400000*x*z^3 + 
        9508844347/1121700000*y*z^3 + 48770710861609/55920484000000*z^4,
    x^4 - 1657/804*x^3*y + 2745649/2585664*x^2*y^2 - 54011348/11439245*x^3*z + 
        43479960133/4598576490*x^2*y*z - 15075577/3232080*x*y^2*z + 
        1165514673595236/130856326170025*x^2*z^2 - 
        246396161387/11496441225*x*y*z^2 + 178773121/16160400*y^2*z^2 - 
        1029796780417792/130856326170025*x*z^3 + 36678347998/2299288245*y*z^3 + 
        363523948220416/130856326170025*z^4,
    x^4 - 284/169*x^3*y + 20164/28561*x^2*y^2 + 1622/1323*x^3*z - 
        971402/223587*x^2*y*z + 92264/28561*x*y^2*z - 13092971/7001316*x^2*z^2 -
        1252928/223587*x*y*z^2 + 400669/114244*y^2*z^2 - 9638735/7001316*x*z^3 -
        8065957/1788696*y*z^3 + 141253225/112021056*z^4,
    x^4 + 17/16*x^3*y + 289/1024*x^2*y^2 + 22/37*x^3*z + 2049/296*x^2*y*z + 
        1453/512*x*y^2*z - 6835/1369*x^2*z^2 + 6141/592*x*y*z^2 + 
        5321/1024*y^2*z^2 - 2068/1369*x*z^3 - 54/37*y*z^3 + 8836/1369*z^4,
    x^4 - 163/470*x^3*y + 26569/883600*x^2*y^2 - 3457660/261743*x^3*z + 
        3081163933/123019210*x^2*y*z - 4208089/441800*x*y^2*z + 
        5306203718662/68509398049*x^2*z^2 - 15346975499/123019210*x*y*z^2 + 
        33560809/883600*y^2*z^2 - 15306255185220/68509398049*x*z^3 + 
        2863403295/24603842*y*z^3 + 19596266072289/68509398049*z^4,
    x^4 + 83/156*x^3*y + 6889/97344*x^2*y^2 + 103225/62637*x^3*z + 
        2133883/4885686*x^2*y*z - 69937/97344*x*y^2*z - 
        13276693787/15693575076*x^2*z^2 + 55816339/39085488*x*y*z^2 + 
        147385/389376*y^2*z^2 - 9859948775/7846787538*x*z^3 - 
        33264811/39085488*y*z^3 + 9123879361/15693575076*z^4,
    x^4 - 470/243*x^3*y + 55225/59049*x^2*y^2 + 302174/188541*x^3*z + 
        851789596/229077315*x^2*y*z - 1798658/295245*x*y^2*z + 
        87866384929/35547708681*x^2*z^2 - 84693646/229077315*x*y*z^2 + 
        1188869/295245*y^2*z^2 + 52118971520/35547708681*x*z^3 - 
        881490776/229077315*y*z^3 + 29749350400/35547708681*z^4,
    x^4 + 76/13*x^3*y + 1444/169*x^2*y^2 + 172645/65897*x^3*z - 
        1783068/4283305*x^2*y*z - 9388/845*x*y^2*z + 
        21355928333/17369658436*x^2*z^2 + 14387051/4283305*x*y*z^2 + 
        1893/845*y^2*z^2 - 5534826055/8684829218*x*z^3 - 3308343/4283305*y*z^3 +
        1027779481/17369658436*z^4,
    x^4 - 238/3*x^3*y + 14161/9*x^2*y^2 - 2129456/29805*x^3*z - 
        238793182/89415*x^2*y*z - 168698/135*x*y^2*z + 
        1158524245534/888338025*x^2*z^2 + 2892329174/1341225*x*y*z^2 + 
        502441/2025*y^2*z^2 - 177747821776/177667605*x*z^3 - 
        115414186/268245*y*z^3 + 6967407841/35533521*z^4,
    x^4 + 1364/721*x^3*y + 465124/519841*x^2*y^2 + 9450896/1260823*x^3*z - 
        25058804840/9999587213*x^2*y*z - 20877928/5718251*x*y^2*z + 
        4546689227982/1589674637329*x^2*z^2 + 247178948244/9999587213*x*y*z^2 + 
        37845404/5718251*y^2*z^2 - 66649674927472/1589674637329*x*z^3 - 
        293202502448/9999587213*y*z^3 + 49733623570849/1589674637329*z^4,
    x^4 - 808/119*x^3*y + 163216/14161*x^2*y^2 - 737587/594354*x^3*z + 
        104761156/35364063*x^2*y*z + 58536/14161*x*y^2*z + 
        10913309065/1413026709264*x^2*z^2 + 22997847/23576042*x*y*z^2 + 
        98513/14161*y^2*z^2 + 4594429423/19625370962*x*z^3 + 
        14916614/35364063*y*z^3 + 349203969/9812685481*z^4,
    x^4 - 15548/459*x^3*y + 60435076/210681*x^2*y^2 - 5425453/6233968*x^3*z - 
        8087421785/79483092*x^2*y*z + 91024636/210681*x*y^2*z - 
        222429309688407/155449428100096*x^2*z^2 - 92007310327/953797104*x*y*z^2 
        + 34153849/210681*y^2*z^2 + 54799804302859/77724714050048*x*z^3 - 
        2045373491/69790032*y*z^3 + 102020160853009/155449428100096*z^4,
    x^4 + 26/27*x^3*y + 169/729*x^2*y^2 - 30764/1483*x^3*z + 
        2605372/40041*x^2*y*z - 30236/729*x*y^2*z + 336477076/2199289*x^2*z^2 - 
        16092272/40041*x*y*z^2 + 100132/729*y^2*z^2 - 1035885408/2199289*x*z^3 +
        23208032/40041*y*z^3 + 1133803584/2199289*z^4,
    x^4 - 3071/199*x^3*y + 9431041/158404*x^2*y^2 + 24150664/26257453*x^3*z - 
        155087710733/5225233147*x^2*y*z + 13021613/79202*x*y^2*z - 
        881094810591530/689453838047209*x^2*z^2 - 38027070413/5225233147*x*y*z^2
        + 20404969/158404*y^2*z^2 - 472256791610376/689453838047209*x*z^3 + 
        53671139133/5225233147*y*z^3 + 382382733142881/689453838047209*z^4,
    x^4 + 1724/363*x^3*y + 743044/131769*x^2*y^2 + 1107108/1054031*x^3*z + 
        35355270/4114121*x^2*y*z + 1778438/131769*x*y^2*z + 
        942599305462/1110981348961*x^2*z^2 - 865241172/127537751*x*y*z^2 + 
        2089294/131769*y^2*z^2 + 334106373564/1110981348961*x*z^3 - 
        2167278662/382613253*y*z^3 + 91072979089/1110981348961*z^4,
    x^4 + 1790/777*x^3*y + 801025/603729*x^2*y^2 - 91169/63640*x^3*z - 
        278950319/49448280*x^2*y*z - 3389756/603729*x*y^2*z + 
        7534360321/16200198400*x^2*z^2 + 210746323/49448280*x*y*z^2 + 
        2284333/603729*y^2*z^2 + 139215063/4050049600*x*z^3 - 
        24928349/24724140*y*z^3 + 2331729/4050049600*z^4,
    x^4 - 2099/721*x^3*y + 4405801/2079364*x^2*y^2 + 43453964/11197233*x^3*z + 
        39012394777/8073204993*x^2*y*z - 3259080/519841*x*y^2*z + 
        730616449380742/125378026856289*x^2*z^2 + 67036996091/2691068331*x*y*z^2
        - 10805428/1559523*y^2*z^2 + 167232189368324/41792675618763*x*z^3 + 
        58088532013/3459944997*y*z^3 + 14810882977081/13930891872921*z^4,
    x^4 + 25733/2233*x^3*y + 662187289/19945156*x^2*y^2 - 
        427847480/85665623*x^3*z - 1155346441937/27327333737*x^2*y*z - 
        818809939/9972578*x*y^2*z + 68117045520761718/7338598963978129*x^2*z^2 +
        9832100039805/191291336159*x*y*z^2 + 1010076433/19945156*y^2*z^2 - 
        55821488758306840/7338598963978129*x*z^3 - 
        3964319387177/191291336159*y*z^3 + 17022559981304089/7338598963978129*z\
        ^4,
    x^4 - 3705/8*x^3*y + 13727025/256*x^2*y^2 - 36715/13563*x^3*z + 
        68989277/72336*x^2*y*z - 9515835/128*x*y^2*z + 
        10093977521/3679099380*x^2*z^2 - 88788107/135630*x*y*z^2 + 
        6596329/256*y^2*z^2 - 453966289/367909938*x*z^3 + 
        162503719/1085040*y*z^3 + 3822083329/18395496900*z^4,
    x^4 - 62/85*x^3*y + 961/7225*x^2*y^2 + 409586/292859*x^3*z + 
        84409982/54764633*x^2*y*z - 128416/79475*x*y^2*z + 
        48055068769/85766393881*x^2*z^2 + 36139696/273823165*x*y*z^2 + 
        41984/79475*y^2*z^2 + 4276077840/85766393881*x*z^3 - 
        37675152/273823165*y*z^3 + 108993600/85766393881*z^4,
    x^4 + 8141/936*x^3*y + 66275881/3504384*x^2*y^2 - 362005258/93993471*x^3*z +
        65239709201/10997236107*x^2*y*z - 33507785/1752192*x*y^2*z + 
        45050418608087533/8834772590627841*x^2*z^2 - 
        970729672201/87977888856*x*y*z^2 + 16917865/3504384*y^2*z^2 - 
        23663822520761308/8834772590627841*x*z^3 + 
        127586731559/43988944428*y*z^3 + 4273070338863076/8834772590627841*z^4,
    x^4 - 2261/130*x^3*y + 5112121/67600*x^2*y^2 - 9341673/3388850*x^3*z + 
        2321797639/67777000*x^2*y*z - 1519747/16900*x*y^2*z + 
        128475568657729/45937217290000*x^2*z^2 - 4952287709/220275250*x*y*z^2 + 
        462929/16900*y^2*z^2 - 14199445718403/11484304322500*x*z^3 + 
        1071260083/220275250*y*z^3 + 2310433440121/11484304322500*z^4,
    x^4 + 3166/127*x^3*y + 2505889/16129*x^2*y^2 - 483868/83693*x^3*z + 
        1334243594/10629011*x^2*y*z + 20179486/112903*x*y^2*z + 
        1376852015326/343221394201*x^2*z^2 + 60337523534/520821539*x*y*z^2 + 
        40771585/790321*y^2*z^2 + 615816246012/49031627743*x*z^3 + 
        107165995710/3645750773*y*z^3 + 79367839952769/16817848315849*z^4,
    x^4 - 40/17*x^3*y + 400/289*x^2*y^2 + 442001/144160*x^3*z + 
        8570369/735216*x^2*y*z - 11500/867*x*y^2*z + 
        344380192801/83128422400*x^2*z^2 + 124519801/7352160*x*y*z^2 - 
        3973/867*y^2*z^2 + 5711094921/2078210560*x*z^3 + 1523533/367608*y*z^3 + 
        166952241/207821056*z^4,
    x^4 - 62/3*x^3*y + 961/9*x^2*y^2 - 2890/1091*x^3*z + 25564/1091*x^2*y*z - 
        118*x*y^2*z + 3083017/1190281*x^2*z^2 - 7790/1091*x*y*z^2 + 33*y^2*z^2 -
        1317840/1190281*x*z^3 + 312/1091*y*z^3 + 207936/1190281*z^4,
    x^4 + 104/135*x^3*y + 2704/18225*x^2*y^2 - 368839/381180*x^3*z - 
        10049843/12864825*x^2*y*z + 235424/18225*x*y^2*z - 
        1149650487119/581192769600*x^2*z^2 - 251286761/25729650*x*y*z^2 + 
        174436/18225*y^2*z^2 + 9719276489/9081137025*x*z^3 - 
        85176632/12864825*y*z^3 + 11110003216/9081137025*z^4,
    x^4 - 3199/1572*x^3*y + 10233601/9884736*x^2*y^2 - 4424949/5517589*x^3*z + 
        2066583663/413030948*x^2*y*z - 27265945/9884736*x*y^2*z - 
        99629323024439/121775153491684*x^2*z^2 - 51576326569/11564866544*x*y*z^2
        + 71753329/39538944*y^2*z^2 + 1707189573690/4349112624703*x*z^3 + 
        883415905/619546422*y*z^3 + 148849356100/621301803529*z^4,
    x^4 - 1472/715*x^3*y + 541696/511225*x^2*y^2 - 24104/225401*x^3*z + 
        903441036/161161715*x^2*y*z - 2216072/511225*x*y^2*z - 
        60363196944/50805610801*x^2*z^2 - 1086881656/161161715*x*y*z^2 + 
        1974976/511225*y^2*z^2 + 3235335296/50805610801*x*z^3 + 
        430923392/161161715*y*z^3 + 18016082176/50805610801*z^4,
    x^4 - 137/81*x^3*y + 18769/26244*x^2*y^2 - 1182427/212391*x^3*z + 
        53384132/17203671*x^2*y*z + 118085/26244*x*y^2*z + 
        1864956284869/180439747524*x^2*z^2 - 305326475/68814684*x*y*z^2 - 
        137975/104976*y^2*z^2 - 649725900095/90219873762*x*z^3 + 
        91780175/68814684*y*z^3 + 301933765225/180439747524*z^4,
    x^4 - 138/55*x^3*y + 4761/3025*x^2*y^2 - 30373/6369*x^3*z + 
        160741/116765*x^2*y*z + 12516/3025*x*y^2*z + 
        1365546769/162256644*x^2*z^2 + 788188/350295*x*y*z^2 - 1436/3025*y^2*z^2
        - 264093235/40564161*x*z^3 + 246316/350295*y*z^3 + 
        75603025/40564161*z^4,
    x^4 - 1/2*x^3*y + 1/16*x^2*y^2 - 10914/1549*x^3*z - 19625/68156*x^2*y*z + 
        65/88*x*y^2*z + 43317109/2399401*x^2*z^2 + 1300/17039*x*y*z^2 - 
        25/176*y^2*z^2 - 47694180/2399401*x*z^3 + 93275/68156*y*z^3 + 
        19096900/2399401*z^4,
    x^4 - 1327/578*x^3*y + 1760929/1336336*x^2*y^2 + 38228253/9687569*x^3*z + 
        142343976577/11198829764*x^2*y*z - 3829765/668168*x*y^2*z - 
        2241862520411283/375395972519044*x^2*z^2 - 
        88515517676/2799707441*x*y*z^2 + 7776505/1336336*y^2*z^2 - 
        3653373484219851/187697986259522*x*z^3 + 288057182637/11198829764*y*z^3 
        + 9133121635312689/375395972519044*z^4,
    x^4 - 730/53*x^3*y + 133225/2809*x^2*y^2 - 1227306/158735*x^3*z + 
        160806752/1682591*x^2*y*z - 817530/2809*x*y^2*z + 
        488110549149/25196800225*x^2*z^2 - 318362862/1682591*x*y*z^2 + 
        1193841/2809*y^2*z^2 - 431204144652/25196800225*x*z^3 + 
        750809196/8412955*y*z^3 + 123441200964/25196800225*z^4,
    x^4 - 82/9*x^3*y + 1681/81*x^2*y^2 + 319994/91915*x^3*z - 
        7513876/91915*x^2*y*z + 51302/405*x*y^2*z + 
        24103693257/8448367225*x^2*z^2 - 283393546/1378725*x*y*z^2 + 
        328729/2025*y^2*z^2 - 419832128/1362639875*x*z^3 - 
        3273192512/20680875*y*z^3 + 1721344/219780625*z^4,
    x^4 + 86/59*x^3*y + 1849/3481*x^2*y^2 + 232237/8673*x^3*z + 
        33060445/511707*x^2*y*z + 83962/3481*x*y^2*z + 
        13423516621/300883716*x^2*z^2 + 303339230/511707*x*y*z^2 + 
        839869/3481*y^2*z^2 - 5534439947/3070242*x*z^3 - 50546351/73101*y*z^3 + 
        567916561/125316*z^4,
    x^4 - 248/7*x^3*y + 15376/49*x^2*y^2 - 233659/41196*x^3*z + 
        1092085/10299*x^2*y*z - 33048/49*x*y^2*z + 
        80359188409/6788441664*x^2*z^2 - 19820795/192248*x*y*z^2 + 
        71129/196*y^2*z^2 - 6088452563/565703472*x*z^3 + 9316133/288372*y*z^3 + 
        678967249/188567824*z^4,
    x^4 - 19/20*x^3*y + 361/1600*x^2*y^2 + 3852/917*x^3*z + 4831/9170*x^2*y*z + 
        49/200*x*y^2*z - 1675148/840889*x^2*z^2 + 6752/4585*x*y*z^2 - 
        113/700*y^2*z^2 - 11309472/840889*x*z^3 - 51416/32095*y*z^3 + 
        8620096/840889*z^4,
    x^4 + 59/2*x^3*y + 3481/16*x^2*y^2 - 74207/21358*x^3*z - 
        2897799/42716*x^2*y*z - 9509/32*x*y^2*z + 8212566585/1824656656*x^2*z^2 
        + 17718925/341728*x*y*z^2 + 25921/256*y^2*z^2 - 
        2350358311/912328328*x*z^3 - 4502647/341728*y*z^3 + 
        1003178929/1824656656*z^4,
    x^4 - 785/87*x^3*y + 616225/30276*x^2*y^2 + 1599077/8468*x^3*z + 
        1293510205/1473432*x^2*y*z - 2074535/30276*x*y^2*z + 
        2480227943905/286828096*x^2*z^2 - 3865616621/1473432*x*y*z^2 + 
        6823249/121104*y^2*z^2 - 7253187802143/286828096*x*z^3 + 
        3873628951/1964576*y*z^3 + 20574016867881/1147312384*z^4,
    x^4 - 1147/486*x^3*y + 1315609/944784*x^2*y^2 + 15719/36009*x^3*z - 
        128900941/35000748*x^2*y*z + 1497119/472392*x*y^2*z - 
        19910607203/5186592324*x^2*z^2 - 23575957/8750187*x*y*z^2 + 
        2343529/944784*y^2*z^2 - 2199858331/2593296162*x*z^3 - 
        116143273/35000748*y*z^3 + 19585722601/5186592324*z^4,
    x^4 - 2621/1272*x^3*y + 6869641/6471936*x^2*y^2 + 1407308/692763*x^3*z + 
        7587278101/1615523316*x^2*y*z - 5372879/808992*x*y^2*z + 
        7907367581660/5279126315859*x^2*z^2 + 483962108/36716439*x*y*z^2 - 
        1795559/404496*y^2*z^2 + 2499637952672/5279126315859*x*z^3 + 
        847687276/134626943*y*z^3 + 3154829601856/58070389474449*z^4,
    x^4 + 138/35*x^3*y + 4761/1225*x^2*y^2 - 1209736/417753*x^3*z - 
        19755982/4873785*x^2*y*z - 8986/1225*x*y^2*z + 
        568454614774/174517569009*x^2*z^2 - 56699066/43864065*x*y*z^2 + 
        41701/11025*y^2*z^2 - 97776912200/58172523003*x*z^3 + 
        22053014/14621355*y*z^3 + 6532680625/19390841001*z^4,
    x^4 + 235/121*x^3*y + 55225/58564*x^2*y^2 + 98019464/126605325*x^3*z + 
        318508294/3063848865*x^2*y*z - 965645/614922*x*y^2*z - 
        6683858327114426/16028908318355625*x^2*z^2 + 
        272121122503/321704130825*x*y*z^2 + 13314541/25826724*y^2*z^2 - 
        140687042620808/641156332734225*x*z^3 - 25362069764/64340826165*y*z^3 + 
        2060077478209/25646253309369*z^4,
    x^4 - 4891/1980*x^3*y + 23921881/15681600*x^2*y^2 - 12561137/4750944*x^3*z +
        136200704917/18813738240*x^2*y*z - 36031483/7840800*x*y^2*z + 
        213715957629793/90285875564544*x^2*z^2 - 50500616623/9406869120*x*y*z^2 
        + 38837569/15681600*y^2*z^2 - 36971181970963/45142937782272*x*z^3 + 
        19202598301/18813738240*y*z^3 + 8663009003401/90285875564544*z^4,
    x^4 + 1658/611*x^3*y + 687241/373321*x^2*y^2 - 233898274/37428873*x^3*z - 
        747586085500/160083289821*x^2*y*z - 22585406/2613247*x*y^2*z + 
        19462642039662193/1400920534050129*x^2*z^2 - 
        139068607778/12314099217*x*y*z^2 + 26951647/2613247*y^2*z^2 - 
        18077329583989456/1400920534050129*x*z^3 + 
        2766839200016/160083289821*y*z^3 + 5973302627676736/1400920534050129*z^\
        4,
    x^4 - 777/236*x^3*y + 603729/222784*x^2*y^2 - 1795480/1018517*x^3*z + 
        157736954255/5047770252*x^2*y*z - 16861245/779744*x*y^2*z - 
        61377893893562/9336391913601*x^2*z^2 - 1566095332973/15143310756*x*y*z^2
        + 57171007/1559488*y^2*z^2 + 60492940495640/9336391913601*x*z^3 + 
        575216251265/5047770252*y*z^3 + 1135136915554849/84027527222409*z^4,
    x^4 + 409/1028*x^3*y + 167281/4227136*x^2*y^2 - 26553166/15696789*x^3*z - 
        6604163302/4034074773*x^2*y*z - 4923163/6340704*x*y^2*z - 
        6672957156539/246389184910521*x^2*z^2 + 129400123547/48408897276*x*y*z^2
        + 63530473/38044224*y^2*z^2 + 51577984871372/82129728303507*x*z^3 - 
        29431760893/24204448638*y*z^3 + 3773080923364/27376576101169*z^4,
    x^4 - 293/460*x^3*y + 85849/846400*x^2*y^2 + 1244890/5221*x^3*z + 
        1174541693/7204980*x^2*y*z - 513719/634800*x*y^2*z + 
        381210106573/27258841*x^2*z^2 - 510108208/1801245*x*y*z^2 + 
        492563/634800*y^2*z^2 - 742459865340/27258841*x*z^3 + 
        202730729/1801245*y*z^3 + 355700116836/27258841*z^4,
    x^4 - 925/161*x^3*y + 855625/103684*x^2*y^2 - 2237505/20092294*x^3*z - 
        3915204677/924245524*x^2*y*z + 1344701/103684*x*y^2*z - 
        3339727655298563/1614801112729744*x^2*z^2 + 
        13483318067/3234859334*x*y*z^2 + 7733377/414736*y^2*z^2 + 
        186237052783755/1614801112729744*x*z^3 + 189747050545/25878874672*y*z^3 
        + 6927940539531001/6459204450918976*z^4,
    x^4 + 7483/1826*x^3*y + 55995289/13337104*x^2*y^2 - 12557066/5259793*x^3*z -
        326151180218/24010955045*x^2*y*z - 411010901/33342760*x*y^2*z + 
        54280226341713/27665422402849*x^2*z^2 + 
        4617938139893/336153370630*x*y*z^2 + 519314669/66685520*y^2*z^2 - 
        124169140749608/193657956819943*x*z^3 - 104047277507/24010955045*y*z^3 +
        97780217238544/1355605697739601*z^4,
    x^4 - 44/131*x^3*y + 484/17161*x^2*y^2 - 86600548/1423315*x^3*z + 
        19045542886/559362795*x^2*y*z - 735442/257415*x*y^2*z + 
        1971993919858206/2025825589225*x^2*z^2 - 610439046484/2796813975*x*y*z^2
        + 16339298/1287075*y^2*z^2 - 2953386205345948/2025825589225*x*z^3 + 
        487739579426/2796813975*y*z^3 + 1163052190809601/2025825589225*z^4,
    x^4 + 4133/3586*x^3*y + 17081689/51437584*x^2*y^2 + 31419723/4548352*x^3*z -
        182427803599/32620780544*x^2*y*z - 99641497/51437584*x*y^2*z + 
        201072868018681/82750023663616*x^2*z^2 + 
        622509690239/32620780544*x*y*z^2 + 524829145/205750336*y^2*z^2 - 
        2715254349536001/82750023663616*x*z^3 - 2003827363055/130483122176*y*z^3
        + 7468206746551369/331000094654464*z^4,
    x^4 - 940/203*x^3*y + 220900/41209*x^2*y^2 - 139217/26825*x^3*z + 
        64762516/2333775*x^2*y*z - 3005308/123627*x*y^2*z + 
        126815085701/25904902500*x^2*z^2 - 2643371543/49009275*x*y*z^2 + 
        9882713/370881*y^2*z^2 + 61781302609/12952451250*x*z^3 + 
        5044819301/147027825*y*z^3 + 196938025729/233144122500*z^4,
    x^4 + 1450/243*x^3*y + 525625/59049*x^2*y^2 - 56920/8973*x^3*z + 
        23396276/2180439*x^2*y*z - 605060/59049*x*y^2*z + 
        1053947470/80514729*x^2*z^2 - 48678490/2180439*x*y*z^2 + 
        226675/59049*y^2*z^2 - 773827400/80514729*x*z^3 + 14837300/2180439*y*z^3
        + 184824025/80514729*z^4,
    x^4 - 15628/7605*x^3*y + 61058596/57836025*x^2*y^2 - 574852/189787*x^3*z + 
        540473048/160370015*x^2*y*z - 4910872/11567205*x*y^2*z + 
        24787504446/36019105369*x^2*z^2 - 258792088/96222009*x*y*z^2 + 
        1347076/2313441*y^2*z^2 + 87575827940/36019105369*x*z^3 - 
        390696940/288666027*y*z^3 + 23208999025/36019105369*z^4,
    x^4 + 727/64*x^3*y + 528529/16384*x^2*y^2 - 65695/564656*x^3*z - 
        225226455/72275968*x^2*y*z - 149475/8192*x*y^2*z - 
        558684595583/1275345593344*x^2*z^2 + 24294373/36137984*x*y*z^2 + 
        86841/16384*y^2*z^2 + 16375595565/637672796672*x*z^3 - 
        52920495/72275968*y*z^3 + 62134037289/1275345593344*z^4,
    x^4 + 326/73*x^3*y + 26569/5329*x^2*y^2 - 161149523/19017960*x^3*z - 
        49239929113/1388311080*x^2*y*z - 2926988/79935*x*y^2*z + 
        35513855211243049/1446731210246400*x^2*z^2 + 
        206006731648/2603083275*x*y*z^2 + 68562394/1199025*y^2*z^2 - 
        1123296134211483/40186978062400*x*z^3 - 113257992811/2313851800*y*z^3 + 
        437293467102969/40186978062400*z^4,
    x^4 - 614/305*x^3*y + 94249/93025*x^2*y^2 - 114125492/194623245*x^3*z + 
        322153039606/59360089725*x^2*y*z - 3733886/837225*x*y^2*z - 
        56357700825355514/37878207494330025*x^2*z^2 - 
        3705740546294/534240807525*x*y*z^2 + 33687001/7535025*y^2*z^2 + 
        1942060144681436/4208689721592225*x*z^3 + 218219434654/59360089725*y*z^3
        + 289574307035689/467632191288025*z^4,
    x^4 - 4985/1056*x^3*y + 24850225/4460544*x^2*y^2 - 41872597/72047800*x^3*z +
        30024444823/30432990720*x^2*y*z + 482995/371712*x*y^2*z - 
        12932612335539591/20763541939360000*x^2*z^2 + 
        26595455529/12680412800*x*y*z^2 + 539243/371712*y^2*z^2 + 
        213378441434509/1038177096968000*x*z^3 + 5083258567/7608247680*y*z^3 + 
        25968166234609/207635419393600*z^4,
    x^4 - 1942/69*x^3*y + 942841/4761*x^2*y^2 - 11028580/2921437*x^3*z + 
        18364382812/201579153*x^2*y*z - 2549096/4761*x*y^2*z + 
        41244908814024/8534794144969*x^2*z^2 - 18163933424/201579153*x*y*z^2 + 
        1702384/4761*y^2*z^2 - 20456096927080/8534794144969*x*z^3 + 
        5077469624/201579153*y*z^3 + 3440379490276/8534794144969*z^4,
    x^4 - 2133/1024*x^3*y + 4549689/4194304*x^2*y^2 - 101942/42681*x^3*z + 
        35684901/7284224*x^2*y*z - 2941389/2097152*x*y^2*z + 
        1869222085/1821667761*x^2*z^2 - 150817501/43705344*x*y*z^2 + 
        1638769/4194304*y^2*z^2 + 290126932/607222587*x*z^3 + 
        1437437/3642112*y*z^3 + 8099716/202407529*z^4,
    x^4 + 133/4*x^3*y + 17689/64*x^2*y^2 - 29144/9721*x^3*z - 
        403803/19442*x^2*y*z - 8699/32*x*y^2*z + 307278470/94497841*x^2*z^2 - 
        151467/38884*x*y*z^2 + 4289/64*y^2*z^2 - 142310152/94497841*x*z^3 + 
        28982/9721*y*z^3 + 23843689/94497841*z^4,
    x^4 - 136/13*x^3*y + 4624/169*x^2*y^2 + 15819/1750*x^3*z + 
        421104/11375*x^2*y*z + 2472/169*x*y^2*z + 274943761/12250000*x^2*z^2 + 
        19447/910*x*y*z^2 + 1549/845*y^2*z^2 + 55825251/6125000*x*z^3 + 
        44247/16250*y*z^3 + 12453841/12250000*z^4,
    x^4 - 82353/16808*x^3*y + 6782016609/1130035456*x^2*y^2 + 
        491637704/148984011*x^3*z + 28007931950825/834707752296*x^2*y*z - 
        9603677763/565017728*x*y^2*z - 79460491785912122/22196235533648121*x^2*\
        z^2 - 151492898261929/2504123256888*x*y*z^2 + 
        13152590377/1130035456*y^2*z^2 - 230809734504283832/22196235533648121*x\
        *z^3 + 81591591165697/2504123256888*y*z^3 + 
        220403191667419489/22196235533648121*z^4,
    x^4 + 6778/1083*x^3*y + 11485321/1172889*x^2*y^2 + 4116259/5770585*x^3*z + 
        2862067157/6249543555*x^2*y*z - 40605098/5864445*x*y^2*z - 
        265576382366979/133198604968900*x^2*z^2 + 
        62694703076/31247717775*x*y*z^2 + 262258081/29322225*y^2*z^2 - 
        50381606515681/66599302484450*x*z^3 - 58931883637/10415905925*y*z^3 + 
        149809252436281/133198604968900*z^4,
    x^4 + 13/1141*x^3*y + 169/5207524*x^2*y^2 - 71622352/2044835*x^3*z - 
        22329209598/2333156735*x^2*y*z - 677401/1301881*x*y^2*z + 
        1369972236936216/4181350177225*x^2*z^2 + 130873457804/2333156735*x*y*z^2
        + 2993209/1301881*y^2*z^2 - 1532945518900544/4181350177225*x*z^3 - 
        9413677736/333308105*y*z^3 + 458095771661584/4181350177225*z^4,
    x^4 + 32*x^3*y + 256*x^2*y^2 - 55019/3374*x^3*z + 4559/1687*x^2*y*z - 
        767*x*y^2*z + 3933751641/45535504*x^2*z^2 - 2989221/13496*x*y*z^2 + 
        9193/16*y^2*z^2 - 924044105/5691938*x*z^3 + 736009/3374*y*z^3 + 
        282072025/2845969*z^4,
    x^4 - 1139/740*x^3*y + 1297321/2190400*x^2*y^2 - 9620279/745365*x^3*z + 
        1558983311/275785050*x^2*y*z - 5427347/6571200*x*y^2*z + 
        107391156901621/2222275932900*x^2*z^2 + 94676737999/6618841200*x*y*z^2 +
        95560129/78854400*y^2*z^2 - 47888719492147/1111137966450*x*z^3 - 
        122215429819/6618841200*y*z^3 + 24779418719449/2222275932900*z^4,
    x^4 - 3218/1419*x^3*y + 2588881/2013561*x^2*y^2 - 1852738/16867911*x^3*z + 
        136419252004/119677828545*x^2*y*z - 13372286/10067805*x*y^2*z - 
        5275242253531463/7113160537598025*x^2*z^2 - 
        911365907534/598389142725*x*y*z^2 + 135124273/50339025*y^2*z^2 + 
        290889322374752/7113160537598025*x*z^3 + 
        1854244626736/2991945713625*y*z^3 + 24650602682050816/17782901343995062\
        5*z^4,
    x^4 - 74/17*x^3*y + 1369/289*x^2*y^2 + 113830/13889*x^3*z - 
        11448316/236113*x^2*y*z + 18118/289*x*y^2*z + 
        2217531273/192904321*x^2*z^2 - 15100746/236113*x*y*z^2 + 
        33073/289*y^2*z^2 - 220374880/10152859*x*z^3 + 14400944/236113*y*z^3 + 
        3748096/534361*z^4,
    x^4 - 13/24*x^3*y + 169/2304*x^2*y^2 - 629/10452*x^3*z + 
        1889479/501696*x^2*y*z + 4103/3456*x*y^2*z - 380266199/436977216*x^2*z^2
        + 1142477/752544*x*y*z^2 + 12361/20736*y^2*z^2 + 1909015/72829536*x*z^3 
        - 118145/501696*y*z^3 + 9211225/48553024*z^4,
    x^4 - 1537/996*x^3*y + 2362369/3968064*x^2*y^2 - 334016/1345347*x^3*z + 
        464369516/334991403*x^2*y*z - 405419/992016*x*y^2*z - 
        7595759265896/1809958550409*x^2*z^2 + 391485065/334991403*x*y*z^2 - 
        147911/992016*y^2*z^2 + 946380893440/1809958550409*x*z^3 - 
        500000260/334991403*y*z^3 + 8027815555600/1809958550409*z^4,
    x^4 + 145/11*x^3*y + 21025/484*x^2*y^2 + 377787/28582*x^3*z - 
        98350951/314402*x^2*y*z - 222083/968*x*y^2*z - 
        36281589839/3267722896*x^2*z^2 + 3655731619/2515216*x*y*z^2 + 
        2317033/7744*y^2*z^2 - 591505261557/1633861448*x*z^3 - 
        4791051871/2515216*y*z^3 + 2451450935521/3267722896*z^4,
    x^4 - 1622/1045*x^3*y + 657721/1092025*x^2*y^2 - 294056/620407*x^3*z - 
        4014894/648325315*x^2*y*z + 893558/1092025*x*y^2*z - 
        548907803602/384904845649*x^2*z^2 - 56031818/129665063*x*y*z^2 + 
        434721/1092025*y^2*z^2 + 135206654744/384904845649*x*z^3 - 
        673273662/648325315*y*z^3 + 211415120401/384904845649*z^4,
    x^4 - 1376/935*x^3*y + 473344/874225*x^2*y^2 - 23766671/10627023*x^3*z + 
        33690319028/9936266505*x^2*y*z - 3122728/874225*x*y^2*z + 
        620218889766721/451734471370116*x^2*z^2 - 10705039657/9936266505*x*y*z^2
        + 3409609/874225*y^2*z^2 - 15477331488620/112933617842529*x*z^3 - 
        8336095048/9936266505*y*z^3 + 424087488400/112933617842529*z^4,
    x^4 - 3868/1661*x^3*y + 3740356/2758921*x^2*y^2 - 35208476/20192475*x^3*z - 
        29538133366/33539700975*x^2*y*z + 25226218/8276763*x*y^2*z + 
        799167816691894/407736046625625*x^2*z^2 - 
        267835266412/100619102925*x*y*z^2 + 76132666/24830289*y^2*z^2 - 
        3412370285444/3261888373005*x*z^3 + 207429924122/100619102925*y*z^3 + 
        234832314025/652377674601*z^4,
    x^4 + 1252/655*x^3*y + 391876/429025*x^2*y^2 + 9071105/9197117*x^3*z + 
        18328847492/66265227985*x^2*y*z - 6177588/4719275*x*y^2*z - 
        209706559345227/338347844446756*x^2*z^2 + 
        73283124147/66265227985*x*y*z^2 + 4122051/4719275*y^2*z^2 - 
        71997714158095/169173922223378*x*z^3 - 55426859071/66265227985*y*z^3 + 
        62996588087521/338347844446756*z^4,
    x^4 - 601/65*x^3*y + 361201/16900*x^2*y^2 + 58828/32265*x^3*z + 
        455503/161325*x^2*y*z + 804983/8450*x*y^2*z + 
        13898759206/1041030225*x^2*z^2 + 224997629/2097225*x*y*z^2 + 
        1723489/16900*y^2*z^2 + 11881902956/1041030225*x*z^3 + 
        251700481/2097225*y*z^3 + 40794708529/1041030225*z^4,
    x^4 - 1002/169*x^3*y + 251001/28561*x^2*y^2 - 907765/287742*x^3*z + 
        1056562847/16209466*x^2*y*z - 1754598/28561*x*y^2*z + 
        315895281937/331181834256*x^2*z^2 - 1554732170/8104733*x*y*z^2 + 
        2509417/28561*y^2*z^2 + 400770077615/165590917128*x*z^3 + 
        8281652273/48628398*y*z^3 + 194914303081/331181834256*z^4,
    x^4 - 260/121*x^3*y + 16900/14641*x^2*y^2 - 3261805/1333299*x^3*z + 
        2148289588/161329179*x^2*y*z - 137628/14641*x*y^2*z - 
        30176873096603/7110744893604*x^2*z^2 - 13867813215/376434751*x*y*z^2 + 
        11878113/717409*y^2*z^2 + 8321128761205/1185124148934*x*z^3 + 
        48282607819/1129304253*y*z^3 + 6508014268561/790082765956*z^4,
    x^4 - 326/161*x^3*y + 26569/25921*x^2*y^2 - 4093169/1073226*x^3*z + 
        492217667/86394693*x^2*y*z - 29833/22218*x*y^2*z + 
        12900047846233/4607256188304*x^2*z^2 - 1589603123/296210376*x*y*z^2 + 
        26497/76176*y^2*z^2 + 524953017419/329089727736*x*z^3 + 
        32169275/42315768*y*z^3 + 16448319001/94025636496*z^4,
    x^4 + 1046/429*x^3*y + 273529/184041*x^2*y^2 - 299862/320573*x^3*z - 
        897502880/137525817*x^2*y*z - 110642/20449*x*y^2*z - 
        50215111011/102767048329*x^2*z^2 + 298403178/45841939*x*y*z^2 + 
        80961/20449*y^2*z^2 + 33998953284/102767048329*x*z^3 - 
        108824484/45841939*y*z^3 + 12855477924/102767048329*z^4,
    x^4 + 104/33*x^3*y + 2704/1089*x^2*y^2 - 462631/113712*x^3*z - 
        1383251/938124*x^2*y*z - 8416/1089*x*y^2*z + 
        327007478017/51721675776*x^2*z^2 - 289957991/30019968*x*y*z^2 + 
        430609/69696*y^2*z^2 - 459653044253/103443351552*x*z^3 + 
        79584181/10916352*y*z^3 + 987167434969/827546812416*z^4,
    x^4 + 28*x^3*y + 196*x^2*y^2 + 433/6*x^3*z - 2771/3*x^2*y*z + 182*x*y^2*z + 
        1343935/1008*x^2*z^2 - 47627/56*x*y*z^2 + 681/16*y^2*z^2 + 
        568529/504*x*z^3 - 32603/168*y*z^3 + 1723969/7056*z^4,
    x^4 + 462/73*x^3*y + 53361/5329*x^2*y^2 + 2924122/419531*x^3*z - 
        863094500/39375981*x^2*y*z - 556682/47961*x*y^2*z + 
        1464189528397/176006259961*x^2*z^2 + 6875800994/275631867*x*y*z^2 + 
        167353/47961*y^2*z^2 - 2346906165444/176006259961*x*z^3 - 
        1964594732/275631867*y*z^3 + 644169970404/176006259961*z^4,
    x^4 + 8/19*x^3*y + 16/361*x^2*y^2 - 1332773/1013080*x^3*z + 
        5439253/2406065*x^2*y*z + 3938/1805*x*y^2*z - 
        99587941947/821064869120*x^2*z^2 - 379132769/384970400*x*y*z^2 + 
        90793/144400*y^2*z^2 + 934965582187/2565827716000*x*z^3 - 
        177359611/481213000*y*z^3 + 492128907361/6414569290000*z^4,
    x^4 - 232/105*x^3*y + 13456/11025*x^2*y^2 + 54779/372*x^3*z - 
        1581668/9765*x^2*y*z + 7052/3675*x*y^2*z + 2949791209/553536*x^2*z^2 - 
        583151/26040*x*y*z^2 + 55609/4900*y^2*z^2 - 625192727/92256*x*z^3 - 
        6676231/8680*y*z^3 + 130256569/61504*z^4,
    x^4 - 414/143*x^3*y + 42849/20449*x^2*y^2 + 589670/66077*x^3*z - 
        18392664/726847*x^2*y*z + 354426/20449*x*y^2*z + 
        144321895117/4366169929*x^2*z^2 - 1058545302/9449011*x*y*z^2 + 
        1579561/20449*y^2*z^2 + 256092501660/4366169929*x*z^3 - 
        1554989028/9449011*y*z^3 + 188614752804/4366169929*z^4,
    x^4 + 181/59*x^3*y + 32761/13924*x^2*y^2 + 5351599/440435*x^3*z - 
        4447752631/155913990*x^2*y*z + 362903/104430*x*y^2*z + 
        37323906586701/775931956900*x^2*z^2 - 18519284614/389784975*x*y*z^2 + 
        1826803/1044300*y^2*z^2 + 5276018367323/77593195690*x*z^3 - 
        1696638859/155913990*y*z^3 + 971953459129/31037278276*z^4,
    x^4 - 2168/1001*x^3*y + 1175056/1002001*x^2*y^2 - 13421/211178*x^3*z + 
        3691576/15099227*x^2*y*z - 18440/1002001*x*y^2*z - 
        1363751846511/178384590736*x^2*z^2 + 2842872447/211389178*x*y*z^2 - 
        7174943/1002001*y^2*z^2 + 21670499491/89192295368*x*z^3 - 
        158422879/211389178*y*z^3 + 2607162438241/178384590736*z^4,
    x^4 - 22/7*x^3*y + 121/49*x^2*y^2 - 4582/7581*x^3*z + 980344/159201*x^2*y*z 
        - 634/441*x*y^2*z - 9701051/57471561*x^2*z^2 - 145262/53067*x*y*z^2 + 
        19/147*y^2*z^2 + 4517852/57471561*x*z^3 + 37004/159201*y*z^3 + 
        972196/57471561*z^4,
    x^4 + 26/35*x^3*y + 169/1225*x^2*y^2 - 2915/268*x^3*z + 46289/9380*x^2*y*z -
        214/1225*x*y^2*z + 9709657/287296*x^2*z^2 - 476/67*x*y*z^2 + 
        46/1225*y^2*z^2 - 3296865/143648*x*z^3 + 25791/18760*y*z^3 + 
        1279161/287296*z^4,
    x^4 - 218/17*x^3*y + 11881/289*x^2*y^2 + 1253690/377043*x^3*z - 
        345438550/6409731*x^2*y*z + 54140/289*x*y^2*z + 
        218692023797/142161423849*x^2*z^2 - 1099643968/19229193*x*y*z^2 + 
        189292/867*y^2*z^2 - 869050385860/426484271547*x*z^3 + 
        77019160/57687579*y*z^3 + 480517921636/1279452814641*z^4,
    x^4 - 76/65*x^3*y + 1444/4225*x^2*y^2 + 619/988*x^3*z - 
        557839/176605*x^2*y*z + 13044/4225*x*y^2*z - 68794477/42950336*x^2*z^2 -
        758391/141284*x*y*z^2 + 14121/4225*y^2*z^2 - 5717703/10737584*x*z^3 - 
        1436697/353210*y*z^3 + 85322169/118113424*z^4,
    x^4 + 2022/2905*x^3*y + 1022121/8439025*x^2*y^2 - 27965359/10711067*x^3*z - 
        614420904/4445092805*x^2*y*z - 9335763/8439025*x*y^2*z + 
        1373148837204997/458907825113956*x^2*z^2 - 
        191950818531/62231299270*x*y*z^2 + 54531289/33756100*y^2*z^2 - 
        385815322286133/229453912556978*x*z^3 + 111918954873/62231299270*y*z^3 +
        190334775738969/458907825113956*z^4,
    x^4 - 211/93*x^3*y + 44521/34596*x^2*y^2 + 3478272/282689*x^3*z + 
        103063861/8763359*x^2*y*z - 51748/8649*x*y^2*z + 
        2520830920936/79913070721*x^2*z^2 - 294474508/8763359*x*y*z^2 + 
        49579/8649*y^2*z^2 - 3099209917440/79913070721*x*z^3 + 
        387890980/26290077*y*z^3 + 793916640400/79913070721*z^4,
    x^4 - 958/735*x^3*y + 229441/540225*x^2*y^2 + 6698/77063*x^3*z + 
        2729052/3776087*x^2*y*z + 89206/540225*x*y^2*z - 
        12639446279/5938705969*x^2*z^2 + 15843066/18880435*x*y*z^2 - 
        72551/540225*y^2*z^2 - 549771840/5938705969*x*z^3 - 
        45741184/56641305*y*z^3 + 6737126400/5938705969*z^4,
    x^4 + 22/45*x^3*y + 121/2025*x^2*y^2 + 719/3407*x^3*z + 
        263302/153315*x^2*y*z - 4091/2025*x*y^2*z - 137183/46430596*x^2*z^2 - 
        9959/61326*x*y*z^2 + 3361/8100*y^2*z^2 - 17256/11607649*x*z^3 + 
        1079/153315*y*z^3 + 576/11607649*z^4,
    x^4 + 319/228*x^3*y + 101761/207936*x^2*y^2 + 32422438/24966095*x^3*z + 
        481322822/388109295*x^2*y*z - 149633/727776*x*y^2*z - 
        249872343156399/623305899549025*x^2*z^2 + 
        15093813073/119537662860*x*y*z^2 + 3093803/3396288*y^2*z^2 - 
        30263233318952/56664172686275*x*z^3 - 5439427187/5433530130*y*z^3 + 
        871243027216/5151288426025*z^4,
    x^4 + 310/7*x^3*y + 24025/49*x^2*y^2 - 11627/1975*x^3*z - 
        575488/2765*x^2*y*z - 78875/49*x*y^2*z + 200243629/15602500*x^2*z^2 + 
        1792837/5530*x*y*z^2 + 259225/196*y^2*z^2 - 19149669/1560250*x*z^3 - 
        184815/1106*y*z^3 + 2712609/624100*z^4,
    x^4 - 1949/918*x^3*y + 3798601/3370896*x^2*y^2 + 6157448/278545*x^3*z - 
        2100354179/85234770*x^2*y*z + 10159141/8427240*x*y^2*z + 
        10098098526966/77587317025*x^2*z^2 - 1877034053/47352650*x*y*z^2 + 
        1862113681/84272400*y^2*z^2 + 6847888801688/77587317025*x*z^3 - 
        203594283707/1278521550*y*z^3 + 1236835361161/77587317025*z^4,
    x^4 - 3046/95*x^3*y + 2319529/9025*x^2*y^2 - 54609574/19356573*x^3*z + 
        24102525254/367774887*x^2*y*z - 9556612/27075*x*y^2*z + 
        1093183597972693/374676918304329*x^2*z^2 - 
        243635478232/5516623305*x*y*z^2 + 9734884/81225*y^2*z^2 - 
        490377263990356/374676918304329*x*z^3 + 54312083704/5516623305*y*z^3 + 
        80634904333636/374676918304329*z^4,
    x^4 + 19808/4011*x^3*y + 98089216/16088121*x^2*y^2 + 4273785/4230268*x^3*z +
        4104165080/1413967079*x^2*y*z + 2699296/16088121*x*y^2*z - 
        34472472283847/71580669407296*x^2*z^2 + 3190118179/2827934158*x*y*z^2 + 
        31776529/16088121*y^2*z^2 - 26640113121945/71580669407296*x*z^3 - 
        38043439921/33935209896*y*z^3 + 38854988824129/286322677629184*z^4,
    x^4 + 906/707*x^3*y + 205209/499849*x^2*y^2 - 2004924/90395*x^3*z + 
        25645203/63909265*x^2*y*z - 1277615/499849*x*y^2*z + 
        2369935498113/16342512050*x^2*z^2 - 991057299/25563706*x*y*z^2 + 
        8182633/1999396*y^2*z^2 - 399316202001/1634251205*x*z^3 + 
        11732233329/255637060*y*z^3 + 634684682241/5229603856*z^4,
    x^4 - 1489/882*x^3*y + 2217121/3111696*x^2*y^2 - 16199564/5527599*x^3*z + 
        39255221057/4875342318*x^2*y*z - 8372449/1555848*x*y^2*z + 
        93705498369718/30554350704801*x^2*z^2 - 47157555541/4875342318*x*y*z^2 +
        16448161/3111696*y^2*z^2 - 41174480417492/30554350704801*x*z^3 + 
        14677686707/4875342318*y*z^3 + 6460254140209/30554350704801*z^4,
    x^4 - 973/209*x^3*y + 946729/174724*x^2*y^2 + 50689/27151*x^3*z + 
        8017120/5674559*x^2*y*z - 12831/174724*x*y^2*z - 
        53627528741/20640950428*x^2*z^2 + 355695567/158887652*x*y*z^2 - 
        2746215/698896*y^2*z^2 - 33424174533/10320475214*x*z^3 + 
        54155133/158887652*y*z^3 + 434804403609/144486652996*z^4,
    x^4 + 2438/205*x^3*y + 1485961/42025*x^2*y^2 - 202215802/248474555*x^3*z + 
        290514724588/50937283775*x^2*y*z + 18034374/294175*x*y^2*z - 
        104020319346876659/61739604482448025*x^2*z^2 - 
        4577394919698/356560986425*x*y*z^2 + 64254129/2059225*y^2*z^2 + 
        46487185674956772/61739604482448025*x*z^3 - 
        3026160738284/356560986425*y*z^3 + 52848945884108196/61739604482448025*\
        z^4,
    x^4 - 12346/6695*x^3*y + 38105929/44823025*x^2*y^2 - 6298684/1850395*x^3*z +
        157015463518/12388394525*x^2*y*z - 437492914/44823025*x*y^2*z + 
        10967421675054/3423961656025*x^2*z^2 - 345454138018/12388394525*x*y*z^2 
        + 693770281/44823025*y^2*z^2 - 1785494252164/3423961656025*x*z^3 + 
        242838992482/12388394525*y*z^3 + 80355807841/3423961656025*z^4,
    x^4 - 38/17*x^3*y + 361/289*x^2*y^2 - 709/612*x^3*z + 181745/59823*x^2*y*z +
        1217/1156*x*y^2*z - 6523549/34458048*x^2*z^2 - 31133/1914336*x*y*z^2 + 
        7369/18496*y^2*z^2 + 20951659/68916096*x*z^3 - 2941943/7657344*y*z^3 + 
        873261601/12680561664*z^4,
    x^4 + 23/5*x^3*y + 529/100*x^2*y^2 - 41/2*x^3*z + 157/4*x^2*y*z - 
        114/25*x*y^2*z + 1809/16*x^2*z^2 - 357/10*x*y*z^2 + 24/25*y^2*z^2 - 
        82*x*z^3 + 38/5*y*z^3 + 16*z^4,
    x^4 + 106/55*x^3*y + 2809/3025*x^2*y^2 - 79712/11941*x^3*z - 
        9729354/656755*x^2*y*z - 4754/605*x*y^2*z + 2271884166/142587481*x^2*z^2
        + 3402794/131351*x*y*z^2 + 1081/121*y^2*z^2 - 2280958880/142587481*x*z^3
        - 1749530/131351*y*z^3 + 818818225/142587481*z^4,
    x^4 - 908/13*x^3*y + 206116/169*x^2*y^2 - 13287/15719*x^3*z + 
        37236020/204347*x^2*y*z - 269548/169*x*y^2*z - 
        145129247/988347844*x^2*z^2 - 30505081/204347*x*y*z^2 + 
        88097/169*y^2*z^2 + 33988146/247086961*x*z^3 + 8016368/204347*y*z^3 + 
        6543364/247086961*z^4,
    x^4 + 490/61*x^3*y + 60025/3721*x^2*y^2 - 3097376/5816167*x^3*z - 
        329346762/253418705*x^2*y*z - 109718/18605*x*y^2*z - 
        1530956271522/33827798571889*x^2*z^2 - 921464062/1773930935*x*y*z^2 + 
        31373/18605*y^2*z^2 + 149470073632/4832542653127*x*z^3 - 
        33383222/253418705*y*z^3 + 2328738049/690363236161*z^4,
    x^4 - 572/31*x^3*y + 81796/961*x^2*y^2 - 9800825/1763652*x^3*z + 
        1688347571/13668303*x^2*y*z - 355217/961*x*y^2*z + 
        134548835007313/12441873508416*x^2*z^2 - 60283286951/218692848*x*y*z^2 +
        6163297/15376*y^2*z^2 - 26738542159225/3110468377104*x*z^3 + 
        22402996603/109346424*y*z^3 + 7443037045249/3110468377104*z^4,
    x^4 - 122/55*x^3*y + 3721/3025*x^2*y^2 - 42808/12385*x^3*z + 
        2651262/681175*x^2*y*z - 12758/3025*x*y^2*z + 
        626839686/153388225*x^2*z^2 + 327934/681175*x*y*z^2 + 11521/3025*y^2*z^2
        - 291565288/153388225*x*z^3 - 1216298/681175*y*z^3 + 
        46389721/153388225*z^4,
    x^4 - 389/154*x^3*y + 151321/94864*x^2*y^2 - 17656/59165*x^3*z - 
        12058637/9111410*x^2*y*z + 62913/47432*x*y^2*z - 
        5148584186/3500497225*x^2*z^2 - 1210887/9111410*x*y*z^2 - 
        4311/94864*y^2*z^2 + 779847864/3500497225*x*z^3 - 6862923/9111410*y*z^3 
        + 1950900561/3500497225*z^4,
    x^4 - 1519/1315*x^3*y + 2307361/6916900*x^2*y^2 + 26084272/14418975*x^3*z - 
        108039581477/37921904250*x^2*y*z + 24952153/20750700*x*y^2*z - 
        255983895901933/415813680101250*x^2*z^2 - 
        1078162851217/227531425500*x*y*z^2 + 843167569/249008400*y^2*z^2 - 
        269625313945604/207906840050625*x*z^3 - 27102869933/26768403000*y*z^3 + 
        1709558118320809/3326509440810000*z^4,
    x^4 - 11506/965*x^3*y + 33097009/931225*x^2*y^2 - 57966554/34024549*x^3*z - 
        196624718128/32833689785*x^2*y*z - 23195966/931225*x*y^2*z + 
        1066002210271093/1157669934653401*x^2*z^2 + 
        58256311222/6566737957*x*y*z^2 + 6937921/931225*y^2*z^2 - 
        192490579265772/1157669934653401*x*z^3 - 51991147356/32833689785*y*z^3 +
        11027168035524/1157669934653401*z^4,
    x^4 - 462/185*x^3*y + 53361/34225*x^2*y^2 - 1656817/294927*x^3*z + 
        33093299/18187165*x^2*y*z + 37194/6845*x*y^2*z + 
        4123238801905/347927741316*x^2*z^2 + 227889744/18187165*x*y*z^2 - 
        27721/6845*y^2*z^2 - 967789886942/86981935329*x*z^3 - 
        931740109/109122990*y*z^3 + 341203183876/86981935329*z^4,
    x^4 + 129/19*x^3*y + 16641/1444*x^2*y^2 - 204369049/119814912*x^3*z - 
        30433296613/1517655552*x^2*y*z - 667911/20216*x*y^2*z + 
        11689841252060785/57422452550270976*x^2*z^2 + 
        3697772736247/191224599552*x*y*z^2 + 232248409/10188864*y^2*z^2 + 
        51302301109526407/114844905100541952*x*z^3 - 
        542541060563/89988046848*y*z^3 + 63014927755674049/918759240804335616*z\
        ^4,
    x^4 - 758/403*x^3*y + 143641/162409*x^2*y^2 - 2724196/179893*x^3*z + 
        866505706/72496879*x^2*y*z + 323370/162409*x*y^2*z + 
        2009426374062/32361491449*x^2*z^2 + 272704314/10356697*x*y*z^2 - 
        1484895/162409*y^2*z^2 - 1166917529188/32361491449*x*z^3 - 
        6634581314/72496879*y*z^3 + 183486292609/32361491449*z^4,
    x^4 - 109/50*x^3*y + 11881/10000*x^2*y^2 - 521276/229525*x^3*z + 
        201249583/11476250*x^2*y*z - 71037/5000*x*y^2*z - 
        78160036406/52681725625*x^2*z^2 - 544115907/11476250*x*y*z^2 + 
        237249/10000*y^2*z^2 + 165895565724/52681725625*x*z^3 + 
        485343657/11476250*y*z^3 + 101282426001/52681725625*z^4,
    x^4 - 688/309*x^3*y + 118336/95481*x^2*y^2 + 163967/707816*x^3*z + 
        41052373/82018179*x^2*y*z - 106336/95481*x*y^2*z - 
        3189413739327/2004013959424*x^2*z^2 - 681867163/1312290864*x*y*z^2 + 
        671761/381924*y^2*z^2 - 93132764099/501003489856*x*z^3 + 
        113899221/72905048*y*z^3 + 322620592009/501003489856*z^4,
    x^4 - 1866/445*x^3*y + 870489/198025*x^2*y^2 + 17962693/10029944*x^3*z + 
        26421124951/4463325080*x^2*y*z - 2401202/594075*x*y^2*z + 
        264643498805433/402399106572544*x^2*z^2 + 38868698237/1673746905*x*y*z^2
        - 11484791/1782225*y^2*z^2 - 25974790548413/201199553286272*x*z^3 + 
        176228441909/13389975240*y*z^3 + 2091034573681/402399106572544*z^4,
    x^4 - 964/27*x^3*y + 232324/729*x^2*y^2 + 1595725/1403892*x^3*z + 
        595758782/9476271*x^2*y*z - 43691/243*x*y^2*z - 
        1480285104287/7883650990656*x^2*z^2 - 1350693559/50540112*x*y*z^2 + 
        32737/1296*y^2*z^2 - 762806017475/2627883663552*x*z^3 + 
        111959101/33693408*y*z^3 + 228513636961/3503844884736*z^4,
    x^4 - 1219/21*x^3*y + 1485961/1764*x^2*y^2 - 4884729/1737218*x^3*z + 
        1950586249/12160526*x^2*y*z - 5299409/3528*x*y^2*z + 
        34729391485105/12071705518096*x^2*z^2 - 14404645697/97284208*x*y*z^2 + 
        18893401/28224*y^2*z^2 - 955032905706/754481594881*x*z^3 + 
        3331046177/72963156*y*z^3 + 152902896784/754481594881*z^4,
    x^4 + 2336/497*x^3*y + 1364224/247009*x^2*y^2 + 87088/539103*x^3*z - 
        35828146304/267934191*x^2*y*z - 20093488/247009*x*y^2*z - 
        15437398723541/290632044609*x^2*z^2 + 16911960928/38276313*x*y*z^2 + 
        53805865/247009*y^2*z^2 - 1247050476296/290632044609*x*z^3 - 
        20015855375/267934191*y*z^3 + 820184244821881/1162528178436*z^4,
    x^4 - 2183/1044*x^3*y + 4765489/4359744*x^2*y^2 - 3305020/1174181*x^3*z + 
        2939520335/1225844964*x^2*y*z + 972293/2179872*x*y^2*z + 
        1008737793862/1378701020761*x^2*z^2 - 2803313065/1225844964*x*y*z^2 + 
        6958441/4359744*y^2*z^2 + 2423567860980/1378701020761*x*z^3 - 
        883304233/408614988*y*z^3 + 537727423401/1378701020761*z^4,
    x^4 + 6416/481*x^3*y + 10291264/231361*x^2*y^2 - 15495233/6757976*x^3*z - 
        8773726842/406323307*x^2*y*z - 6928088/231361*x*y^2*z + 
        354388107902145/182680958466304*x^2*z^2 + 65399946207/6501172912*x*y*z^2
        + 5126081/925444*y^2*z^2 - 32755481505331/45670239616576*x*z^3 - 
        4556320453/3250586456*y*z^3 + 4468602804649/45670239616576*z^4,
    x^4 - 1508/489*x^3*y + 568516/239121*x^2*y^2 - 13623841/1618916*x^3*z + 
        4891674077/197912481*x^2*y*z - 4347521/239121*x*y^2*z + 
        243068704652497/10483556060224*x^2*z^2 - 168830100769/3166599696*x*y*z^2
        + 109264177/3825936*y^2*z^2 - 120886643622129/5241778030112*x*z^3 + 
        31908139747/1055533232*y*z^3 + 78733128102561/10483556060224*z^4,
    x^4 - 206/91*x^3*y + 10609/8281*x^2*y^2 - 297506/224471*x^3*z + 
        353330736/102134305*x^2*y*z - 116626/41405*x*y^2*z + 
        7656258581/50387229841*x^2*z^2 - 191661538/102134305*x*y*z^2 + 
        104109/41405*y^2*z^2 + 9589808404/50387229841*x*z^3 + 
        21719196/102134305*y*z^3 + 1039030756/50387229841*z^4,
    x^4 - 1289/627*x^3*y + 1661521/1572516*x^2*y^2 - 1479152/1033353*x^3*z + 
        1980260449/647912331*x^2*y*z - 249265/262086*x*y^2*z + 
        870997026574/1067818422609*x^2*z^2 - 102264317/215970777*x*y*z^2 + 
        39697/174724*y^2*z^2 - 77301962672/355939474203*x*z^3 - 
        13671809/71990259*y*z^3 + 2731212121/118646491401*z^4,
    x^4 + 26/5*x^3*y + 169/25*x^2*y^2 - 22067/7140*x^3*z - 335977/17850*x^2*y*z 
        - 2359/100*x*y^2*z + 647788129/203918400*x^2*z^2 + 826739/40800*x*y*z^2 
        + 29449/1600*y^2*z^2 - 35505803/29131200*x*z^3 - 510083/81600*y*z^3 + 
        2588881/16646400*z^4,
    x^4 - 596/265*x^3*y + 88804/70225*x^2*y^2 - 2139861/3671522*x^3*z + 
        968796512/97295333*x^2*y*z - 579046/70225*x*y^2*z - 
        28859073107831/53920295185936*x^2*z^2 - 21959080217/1945906660*x*y*z^2 +
        1813529/280900*y^2*z^2 + 2436075538647/13480073796484*x*z^3 + 
        3518536133/972953330*y*z^3 + 1296016034329/13480073796484*z^4,
    x^4 + 641/243*x^3*y + 410881/236196*x^2*y^2 + 7624/409*x^3*z + 
        2142547/99387*x^2*y*z + 555479/118098*x*y^2*z + 12884710/167281*x^2*z^2 
        + 6020815/99387*x*y*z^2 + 669841/236196*y^2*z^2 - 15347112/167281*x*z^3 
        + 1975877/99387*y*z^3 + 4052169/167281*z^4,
    x^4 + 259/128*x^3*y + 67081/65536*x^2*y^2 - 65992/8781*x^3*z + 
        35886113/1123968*x^2*y*z + 1028669/98304*x*y^2*z - 
        1440818362/77105961*x^2*z^2 + 105923113/1123968*x*y*z^2 + 
        14293121/589824*y^2*z^2 + 28515605144/231317883*x*z^3 + 
        324073927/10115712*y*z^3 + 186716459449/693953649*z^4,
    x^4 - 121/74*x^3*y + 14641/21904*x^2*y^2 - 597055/154031*x^3*z + 
        36479443/11398294*x^2*y*z - 19673/21904*x*y^2*z + 
        346781810257/94902195844*x^2*z^2 + 94881817/45593176*x*y*z^2 + 
        375169/87616*y^2*z^2 + 204192810/1031545607*x*z^3 - 
        53762481/11398294*y*z^3 + 116964/44849809*z^4,
    x^4 - 158/63*x^3*y + 6241/3969*x^2*y^2 - 921248/307097*x^3*z + 
        4611956/1018269*x^2*y*z - 21284/3969*x*y^2*z + 
        279157238628/94308567409*x^2*z^2 - 218392/1018269*x*y*z^2 + 
        24088/3969*y^2*z^2 - 100469464384/94308567409*x*z^3 - 
        8221480/6449037*y*z^3 + 11893647364/94308567409*z^4,
    x^4 - 779/392*x^3*y + 606841/614656*x^2*y^2 - 137015/163247*x^3*z + 
        344570841/127985648*x^2*y*z - 568261/307328*x*y^2*z - 
        48418701987/106598332036*x^2*z^2 + 25099761/31996412*x*y*z^2 - 
        19423/614656*y^2*z^2 + 14098706485/53299166018*x*z^3 - 
        551779/127985648*y*z^3 + 10588204201/106598332036*z^4,
    x^4 + 21/19*x^3*y + 441/1444*x^2*y^2 - 3875678/1758393*x^3*z - 
        3432280/11136489*x^2*y*z - 9249/5054*x*y^2*z + 
        6587841398317/3091945942449*x^2*z^2 - 1960648051/701598807*x*y*z^2 + 
        1217233/636804*y^2*z^2 - 21851855450956/21643621597143*x*z^3 + 
        1043793818/701598807*y*z^3 + 31789321792804/151505351180001*z^4,
    x^4 - 12*x^3*y + 36*x^2*y^2 - 52/9*x^3*z - 196/3*x^2*y*z + 54*x*y^2*z + 
        334/81*x^2*z^2 - 644/9*x*y*z^2 + 19*y^2*z^2 + 988/81*x*z^3 - 196/9*y*z^3
        + 361/81*z^4,
    x^4 - 722/55*x^3*y + 130321/3025*x^2*y^2 - 158210/46541*x^3*z + 
        288891234/2559755*x^2*y*z - 561596/3025*x*y^2*z + 
        5740623597/2166064681*x^2*z^2 - 142634564/511951*x*y*z^2 + 
        587524/3025*y^2*z^2 + 878698340/2166064681*x*z^3 + 
        543567608/2559755*y*z^3 + 30846916/2166064681*z^4,
    x^4 + 671/35*x^3*y + 450241/4900*x^2*y^2 - 12423564/4060721*x^3*z - 
        1478643917/28425047*x^2*y*z - 236776/1225*x*y^2*z + 
        57556990161694/16489455039841*x^2*z^2 + 6504731063/142125235*x*y*z^2 + 
        122536/1225*y^2*z^2 - 29020016794140/16489455039841*x*z^3 - 
        1851420989/142125235*y*z^3 + 5456358733225/16489455039841*z^4,
    x^4 + 2*x^3*y + x^2*y^2 - 40016/2759*x^3*z + 1419718/19313*x^2*y*z - 
        174/7*x*y^2*z + 302965990/7612081*x^2*z^2 + 1467786/19313*x*y*z^2 - 
        153/7*y^2*z^2 + 706002288/7612081*x*z^3 + 230166/19313*y*z^3 + 
        311275449/7612081*z^4,
    x^4 - 632/293*x^3*y + 99856/85849*x^2*y^2 - 25002571/13680756*x^3*z + 
        7708675138/1002115377*x^2*y*z - 455932/85849*x*y^2*z + 
        338043364252441/748652338926144*x^2*z^2 - 72111308911/8016923016*x*y*z^2
        + 1598089/343396*y^2*z^2 + 65583618925825/187163084731536*x*z^3 + 
        14003007265/4008461508*y*z^3 + 6880522455625/187163084731536*z^4,
    x^4 - 14/45*x^3*y + 49/2025*x^2*y^2 + 15521/1270*x^3*z + 82833/6350*x^2*y*z 
        - 1504/405*x*y^2*z + 179738241/6451600*x^2*z^2 - 90802/1905*x*y*z^2 + 
        796/81*y^2*z^2 - 4671821/80645*x*z^3 + 16594/1143*y*z^3 + 
        362404/16129*z^4,
    x^4 + 215/8*x^3*y + 46225/256*x^2*y^2 - 17891/237000*x^3*z - 
        60677/1920*x^2*y*z - 91055/768*x*y^2*z - 
        33038610119/224676000000*x^2*z^2 + 138743857/11376000*x*y*z^2 + 
        177169/9216*y^2*z^2 + 419704969/74892000000*x*z^3 - 
        7748441/5056000*y*z^3 + 550324681/99856000000*z^4,
    x^4 + 2521/1672*x^3*y + 6355441/11182336*x^2*y^2 + 24645811/44746520*x^3*z -
        76754827883/149632362880*x^2*y*z - 34747393/27955840*x*y^2*z - 
        13388961647113079/8009004208441600*x^2*z^2 + 
        754386622131/374080907200*x*y*z^2 + 648265489/279558400*y^2*z^2 - 
        385451291152497/800900420844160*x*z^3 - 357498180003/149632362880*y*z^3 
        + 244597932699129/320360168337664*z^4,
    x^4 + 1870/3*x^3*y + 874225/9*x^2*y^2 + 28281/3800*x^3*z - 
        3506827/760*x^2*y*z - 1312210/9*x*y^2*z + 412290961/57760000*x^2*z^2 + 
        22312843/3800*x*y*z^2 + 492406/9*y^2*z^2 - 144204819/5776000*x*z^3 - 
        2361289/1140*y*z^3 + 25999801/2310400*z^4,
    x^4 - 5927/2232*x^3*y + 35129329/19927296*x^2*y^2 + 2647264/1437315*x^3*z - 
        10513854419/3208087080*x^2*y*z + 8764309/9963648*x*y^2*z - 
        2359854707426/2065874409225*x^2*z^2 + 6319530473/3208087080*x*y*z^2 + 
        18760009/19927296*y^2*z^2 - 757326637856/413174881845*x*z^3 + 
        16019540359/3208087080*y*z^3 + 81841194241/82634976369*z^4,
    x^4 - 2/3*x^3*y + 1/9*x^2*y^2 - 1555/878*x^3*z - 22838/1317*x^2*y*z + 
        83/6*x*y^2*z + 547885/3083536*x^2*z^2 + 150059/3512*x*y*z^2 - 
        239/16*y^2*z^2 + 1656075/3083536*x*z^3 - 177225/7024*y*z^3 + 
        1134225/12334144*z^4,
    x^4 + 8498/2651*x^3*y + 18054001/7027801*x^2*y^2 - 105467604/28242067*x^3*z 
        - 150753405015/10695674231*x^2*y*z - 87909423/7027801*x*y^2*z + 
        8248159669858193/1595228696864978*x^2*z^2 + 
        220705925287/13612676294*x*y*z^2 + 292721969/28111204*y^2*z^2 - 
        2508081717171855/797614348432489*x*z^3 - 
        1567166297115/299478878468*y*z^3 + 9048262420746025/12761829574919824*z\
        ^4,
    x^4 + 7130/3133*x^3*y + 12709225/9815689*x^2*y^2 + 158285879/9216804*x^3*z -
        493920525887/28876246932*x^2*y*z - 200577353/58894134*x*y^2*z + 
        20282431266165469/339797903897664*x^2*z^2 + 
        3462305640503/86628740796*x*y*z^2 + 2926150057/1413459216*y^2*z^2 - 
        81952306972606147/679595807795328*x*z^3 - 
        27792400639937/1386059852736*y*z^3 + 
        268063709103208249/5436766462362624*z^4,
    x^4 - 1006/155*x^3*y + 253009/24025*x^2*y^2 + 2586754/260989*x^3*z - 
        106059632/8090659*x^2*y*z - 427226/24025*x*y^2*z - 
        266903601451/68115258121*x^2*z^2 + 100318218/40453295*x*y*z^2 - 
        991559/24025*y^2*z^2 - 9612662406940/68115258121*x*z^3 + 
        11249109676/40453295*y*z^3 + 13809473532100/68115258121*z^4,
    x^4 - 144/37*x^3*y + 5184/1369*x^2*y^2 + 36432/19055*x^3*z - 
        6547679/705035*x^2*y*z + 14205/1369*x*y^2*z - 
        3342001513/726186050*x^2*z^2 - 275554/141007*x*y*z^2 + 
        87483/2738*y^2*z^2 - 382927644/72618605*x*z^3 + 82637179/2820140*y*z^3 +
        1767613849/232379536*z^4,
    x^4 - 68/49*x^3*y + 1156/2401*x^2*y^2 - 5153/5896*x^3*z + 
        198937/72226*x^2*y*z + 1487/4802*x*y^2*z - 22548479/139051264*x^2*z^2 + 
        2549951/2311232*x*y*z^2 + 18817/153664*y^2*z^2 + 5364273/34762816*x*z^3 
        - 123/105056*y*z^3 + 1083681/34762816*z^4,
    x^4 + 289/55*x^3*y + 83521/12100*x^2*y^2 + 3692680/1591557*x^3*z - 
        267991408/87535635*x^2*y*z - 27162/3025*x*y^2*z - 
        3202585566608/2533053684249*x^2*z^2 + 159604184/17507127*x*y*z^2 + 
        51692/9075*y^2*z^2 - 7669962232960/2533053684249*x*z^3 - 
        1571222272/262606905*y*z^3 + 4314228093184/2533053684249*z^4,
    x^4 + 458/65*x^3*y + 52441/4225*x^2*y^2 - 108984/51571*x^3*z - 
        67126178/2011269*x^2*y*z - 501142/12675*x*y^2*z + 
        6179031886/23936112369*x^2*z^2 + 509650562/10056345*x*y*z^2 + 
        393067/12675*y^2*z^2 + 7236355960/7978704123*x*z^3 - 
        2250818314/90507105*y*z^3 + 39678648025/215425011321*z^4,
    x^4 + 4694/5841*x^3*y + 5508409/34117281*x^2*y^2 + 524705116/25934217*x^3*z 
        + 1496719153022/151481761497*x^2*y*z + 40935470/34117281*x*y^2*z + 
        66345754751705638/672583611403089*x^2*z^2 + 
        7529166202486/151481761497*x*y*z^2 + 207185113/34117281*y^2*z^2 - 
        25119333422790724/672583611403089*x*z^3 - 
        1312499464954/151481761497*y*z^3 + 2291847012351121/672583611403089*z^4\
        ,
    x^4 + 558/85*x^3*y + 77841/7225*x^2*y^2 + 40503/42313*x^3*z + 
        6210798/719321*x^2*y*z + 209361/7225*x*y^2*z - 
        9322805291/7161559876*x^2*z^2 - 47760051/7193210*x*y*z^2 + 
        628081/28900*y^2*z^2 - 2623581825/3580779938*x*z^3 - 
        70237407/7193210*y*z^3 + 4195800625/7161559876*z^4,
    x^4 - 5521/440*x^3*y + 30481441/774400*x^2*y^2 - 541032012/57273535*x^3*z + 
        2591315233399/25200355400*x^2*y*z - 107772889/387200*x*y^2*z + 
        104440733763303766/3280257811396225*x^2*z^2 - 
        6575029597537/25200355400*x*y*z^2 + 378185681/774400*y^2*z^2 - 
        147656746512850068/3280257811396225*x*z^3 + 
        4869918059929/25200355400*y*z^3 + 74483601009751921/3280257811396225*z^\
        4,
    x^4 - 5614/387*x^3*y + 7879249/149769*x^2*y^2 - 89337393/27140869*x^3*z + 
        19155115012/500167443*x^2*y*z - 15220303/149769*x*y^2*z + 
        11539962496740829/2946507080300644*x^2*z^2 - 
        77354471783/2334114734*x*y*z^2 + 28713721/599076*y^2*z^2 - 
        59766269230035/30066398778578*x*z^3 + 28459920385/3001004658*y*z^3 + 
        21930161191225/60132797557156*z^4,
    x^4 + 2/13*x^3*y + 1/169*x^2*y^2 - 21532/276835*x^3*z + 
        42546749/21593130*x^2*y*z - 1187/1014*x*y^2*z - 
        6776731074/76637617225*x^2*z^2 - 6695801/10796565*x*y*z^2 + 
        395/1014*y^2*z^2 + 268051868/76637617225*x*z^3 - 386587/21593130*y*z^3 +
        154977601/76637617225*z^4,
    x^4 + 4324/2275*x^3*y + 4674244/5175625*x^2*y^2 + 315794/210175*x^3*z - 
        6248492128/478148125*x^2*y*z + 43990592/5175625*x*y^2*z + 
        30006348159/44173530625*x^2*z^2 - 4655338304/478148125*x*y*z^2 + 
        21504064/5175625*y^2*z^2 + 3812580962/44173530625*x*z^3 - 
        53142736/36780625*y*z^3 + 145757329/44173530625*z^4,
    x^4 + 82/81*x^3*y + 1681/6561*x^2*y^2 - 6221/585*x^3*z + 
        2599669/47385*x^2*y*z + 45602/6561*x*y^2*z - 130970219/1368900*x^2*z^2 +
        14984726/47385*x*y*z^2 + 223561/6561*y^2*z^2 + 451078489/684450*x*z^3 + 
        4761769/47385*y*z^3 + 5257555081/1368900*z^4,
    x^4 - 887/531*x^3*y + 786769/1127844*x^2*y^2 + 22777214/6835091*x^3*z - 
        33114221677/3629433321*x^2*y*z + 1739347/281961*x*y^2*z - 
        7419457424747/46718468978281*x^2*z^2 - 81168414040/3629433321*x*y*z^2 + 
        3303961/281961*y^2*z^2 - 228468621649692/46718468978281*x*z^3 - 
        10043803604/403270369*y*z^3 + 100612495014084/46718468978281*z^4,
    x^4 - 673/259*x^3*y + 452929/268324*x^2*y^2 - 50492132/26445639*x^3*z - 
        24592767421/6849420501*x^2*y*z + 1372702/201243*x*y^2*z + 
        1581455547980782/699371822118321*x^2*z^2 + 
        79318784231/20548261503*x*y*z^2 + 592876/603729*y^2*z^2 - 
        27311143706668/21193085518737*x*z^3 + 6453163447/6849420501*y*z^3 + 
        292571728201/642214712689*z^4,
    x^4 + 191/1628*x^3*y + 36481/10601536*x^2*y^2 - 586823/23088*x^3*z - 
        546833527/75174528*x^2*y*z - 3024569/5300768*x*y^2*z + 
        348402464497/2132222976*x^2*z^2 + 2222820619/37587264*x*y*z^2 + 
        163387475/31804608*y^2*z^2 - 25678787657/1066111488*x*z^3 - 
        1920935869/225523584*y*z^3 + 1914850081/2132222976*z^4,
    x^4 + 107/22*x^3*y + 11449/1936*x^2*y^2 - 2798239/707520*x^3*z - 
        141599899/31130880*x^2*y*z - 211237/23232*x*y^2*z + 
        11640935137441/2002338201600*x^2*z^2 - 678984473/373570560*x*y*z^2 + 
        4084897/1115136*y^2*z^2 - 30143349655423/8009352806400*x*z^3 + 
        10730491151/5977128960*y*z^3 + 116041520874049/128149644902400*z^4,
    x^4 - 327/175*x^3*y + 106929/122500*x^2*y^2 - 7940/133*x^3*z + 
        246966/4655*x^2*y*z - 374709/61250*x*y^2*z + 13743822/17689*x^2*z^2 - 
        1731967/23275*x*y*z^2 + 3429589/122500*y^2*z^2 + 60209020/17689*x*z^3 + 
        21598928/23275*y*z^3 + 57501889/17689*z^4,
    x^4 + 5406/299*x^3*y + 7306209/89401*x^2*y^2 - 31259548/6616065*x^3*z - 
        113393870638/1978203435*x^2*y*z - 68575014/447005*x*y^2*z + 
        40027178801294/4863590676025*x^2*z^2 + 1809580266986/29673051525*x*y*z^2
        + 162637641/2235025*y^2*z^2 - 821793729626116/131316948252675*x*z^3 - 
        213841052462/9891017175*y*z^3 + 691130817260689/393950844758025*z^4,
    x^4 - 678/335*x^3*y + 114921/112225*x^2*y^2 - 49029/37453*x^3*z + 
        9488351/2509351*x^2*y*z - 294828/112225*x*y^2*z - 
        863188465/16832726508*x^2*z^2 - 87382184/37640265*x*y*z^2 + 
        213826/112225*y^2*z^2 + 880871357/2805454418*x*z^3 + 
        32633773/75280530*y*z^3 + 2905102201/50498179524*z^4,
    x^4 + x^3*y + 1/4*x^2*y^2 + 16359/3200*x^3*z - 631153/44800*x^2*y*z + 
        185/28*x*y^2*z + 326144881/40960000*x^2*z^2 - 196499/8960*x*y*z^2 + 
        775/112*y^2*z^2 + 29920611/8192000*x*z^3 - 45113/7168*y*z^3 + 
        3345241/6553600*z^4,
    x^4 - 1348/843*x^3*y + 454276/710649*x^2*y^2 - 562127027/218349364*x^3*z + 
        380855087846/46017128463*x^2*y*z - 4576241/710649*x*y^2*z + 
        406526543466806521/190705779036817984*x^2*z^2 - 
        7790354625217/736274055408*x*y*z^2 + 75592969/11370384*y^2*z^2 - 
        58272255742763139/95352889518408992*x*z^3 + 
        905635076753/245424685136*y*z^3 + 10746195248116449/190705779036817984*\
        z^4,
    x^4 + 2126/1599*x^3*y + 1129969/2556801*x^2*y^2 - 30842316/8655223*x^3*z + 
        381500014/4613233859*x^2*y*z - 5069110/2556801*x*y^2*z + 
        390694580285548/74912885179729*x^2*z^2 - 26635502588/4613233859*x*y*z^2 
        + 5314648/2556801*y^2*z^2 - 272393289818064/74912885179729*x*z^3 + 
        45265893776/13839701577*y*z^3 + 78000761894416/74912885179729*z^4,
    x^4 - 67*x^3*y + 4489/4*x^2*y^2 - 21185/7606*x^3*z + 2350075/15212*x^2*y*z -
        7859/4*x*y^2*z + 648522573/231404944*x^2*z^2 - 882055/7606*x*y*z^2 + 
        13729/16*y^2*z^2 - 278137865/231404944*x*z^3 + 1710247/60848*y*z^3 + 
        172370641/925619776*z^4,
    x^4 + 16/9*x^3*y + 64/81*x^2*y^2 - 30/43*x^3*z + 24076/2709*x^2*y*z + 
        526/567*x*y^2*z - 2957/1849*x^2*z^2 + 20092/2709*x*y*z^2 + 
        559/2268*y^2*z^2 + 1110/1849*x*z^3 + 1033/903*y*z^3 + 1369/1849*z^4,
    x^4 - 2464/1145*x^3*y + 1517824/1311025*x^2*y^2 + 115090783/35063106*x^3*z +
        178154008924/20073628185*x^2*y*z - 45204496/3933075*x*y^2*z + 
        23982738176857633/4917685609468944*x^2*z^2 + 
        1928040470569/120441769110*x*y*z^2 - 49997879/11799225*y^2*z^2 + 
        2202657929907737/614710701183618*x*z^3 + 260684477774/60220884555*y*z^3 
        + 366279847356721/307355350591809*z^4,
    x^4 + 101/35*x^3*y + 10201/4900*x^2*y^2 + 58076/14855*x^3*z - 
        650884/74275*x^2*y*z - 17793/2450*x*y^2*z - 551055146/220671025*x^2*z^2 
        + 11084083/519925*x*y*z^2 + 34549/4900*y^2*z^2 - 
        2725448604/220671025*x*z^3 - 8412942/519925*y*z^3 + 
        2202331041/220671025*z^4,
    x^4 + 9488/485*x^3*y + 22505536/235225*x^2*y^2 - 263789973/52449064*x^3*z - 
        41190342330/635944901*x^2*y*z - 38720712/235225*x*y^2*z + 
        99836282515085689/11003617257904384*x^2*z^2 + 
        3581062484513/50875592080*x*y*z^2 + 69936329/940900*y^2*z^2 - 
        19018321917845715/2750904314476096*x*z^3 - 
        629430576051/25437796040*y*z^3 + 5197898823567025/2750904314476096*z^4,
    x^4 + 3706/6643*x^3*y + 3433609/44129449*x^2*y^2 + 24717812/4278749*x^3*z - 
        61396844954/28423729607*x^2*y*z - 37894590/44129449*x*y^2*z - 
        64806490381586/18307693005001*x^2*z^2 + 522195657138/28423729607*x*y*z^2
        + 152380953/44129449*y^2*z^2 - 628377180658668/18307693005001*x*z^3 - 
        596917720026/28423729607*y*z^3 + 646280066917521/18307693005001*z^4,
    x^4 + 1656/377*x^3*y + 685584/142129*x^2*y^2 - 97585627/13626868*x^3*z - 
        50833815004/3852996927*x^2*y*z - 1986508/426387*x*y^2*z + 
        12637839082462377/742766125957696*x^2*z^2 + 
        553296279229/30823975416*x*y*z^2 + 4082347/1705548*y^2*z^2 - 
        5576629118812643/371383062978848*x*z^3 - 228419898191/30823975416*y*z^3 
        + 3265666344628081/742766125957696*z^4,
    x^4 + 2701/612*x^3*y + 7295401/1498176*x^2*y^2 - 42495168/167604275*x^3*z - 
        119258412982/8547818025*x^2*y*z - 4905343/374544*x*y^2*z - 
        40130312543917544/28091192998275625*x^2*z^2 + 
        136272406937/8547818025*x*y*z^2 + 77011441/9363600*y^2*z^2 + 
        5144645727534336/28091192998275625*x*z^3 - 
        4040672409172/641086351875*y*z^3 + 14656553112319504/28091192998275625*\
        z^4,
    x^4 - 2845/1156*x^3*y + 8094025/5345344*x^2*y^2 - 188639/22754415*x^3*z - 
        40650764689/10521641496*x^2*y*z + 31249325/8018016*x*y^2*z - 
        3329143851286739/2071053607968900*x^2*z^2 - 
        163077661169/39456155610*x*y*z^2 + 133558561/48108096*y^2*z^2 + 
        6899903596949/1035526803984450*x*z^3 - 388535094139/157824622440*y*z^3 +
        1337898216898681/2071053607968900*z^4,
    x^4 + 58/19*x^3*y + 841/361*x^2*y^2 - 124738/5567*x^3*z - 
        2744216/105773*x^2*y*z + 21222/361*x*y^2*z + 3847827909/30991489*x^2*z^2
        - 11330922/105773*x*y*z^2 + 58521/361*y^2*z^2 + 471260164/30991489*x*z^3
        - 37580588/105773*y*z^3 + 14273284/30991489*z^4,
    x^4 - 403/125*x^3*y + 162409/62500*x^2*y^2 - 21553/25915*x^3*z - 
        11587392/3239375*x^2*y*z + 206827/62500*x*y^2*z - 
        3012950211/2686348900*x^2*z^2 - 40822789/12957500*x*y*z^2 + 
        269281/250000*y^2*z^2 + 723038491/1343174450*x*z^3 - 
        17158213/12957500*y*z^3 + 1125401209/2686348900*z^4,
    x^4 + 1135/164*x^3*y + 1288225/107584*x^2*y^2 + 282752/859975*x^3*z - 
        114933139/28207180*x^2*y*z - 629935/53792*x*y^2*z - 
        442457503074/739557000625*x^2*z^2 + 367512087/141035900*x*y*z^2 + 
        409729/107584*y^2*z^2 - 76023812992/739557000625*x*z^3 - 
        146026817/141035900*y*z^3 + 72291614641/739557000625*z^4,
    x^4 + 21046/7755*x^3*y + 110733529/60140025*x^2*y^2 + 
        136881564/2281810003*x^3*z + 5122714298006/5898478857755*x^2*y*z + 
        24367334/60140025*x*y^2*z - 4813328405071389986/5206656889790860009*x^2\
        *z^2 - 3963113638274/5898478857755*x*y*z^2 + 147252961/60140025*y^2*z^2 
        - 144511833097766940/5206656889790860009*x*z^3 - 
        24632358717134/17695436573265*y*z^3 + 
        1114594517268652225/5206656889790860009*z^4,
    x^4 + 33/64*x^3*y + 1089/16384*x^2*y^2 + 698711/40788*x^3*z - 
        88627117/1740288*x^2*y*z - 22181/4096*x*y^2*z + 
        395379562417/6654643776*x^2*z^2 + 217254305/3915648*x*y*z^2 + 
        179425/36864*y^2*z^2 - 66249680887/554553648*x*z^3 - 
        15168463/1305216*y*z^3 + 8990263489/184851216*z^4,
    x^4 - 56/3*x^3*y + 784/9*x^2*y^2 - 81/134*x^3*z - 17630/67*x^2*y*z + 
        4736/9*x*y^2*z - 1050431/71824*x^2*z^2 - 67284/67*x*y*z^2 + 
        6976/9*y^2*z^2 + 39933/8978*x*z^3 - 232976/201*y*z^3 + 243049/4489*z^4,
    x^4 - 3316/1525*x^3*y + 2748964/2325625*x^2*y^2 - 551409/519476*x^3*z + 
        702369137/198050225*x^2*y*z - 10001413/2325625*x*y^2*z - 
        1465009087391/1079421258304*x^2*z^2 - 10586358217/3168803600*x*y*z^2 + 
        214215409/37210000*y^2*z^2 + 58681497189/67463828644*x*z^3 + 
        1290588383/396100450*y*z^3 + 11325429241/16865957161*z^4,
    x^4 + 394/1855*x^3*y + 38809/3441025*x^2*y^2 + 440130290/17938221*x^3*z - 
        392006874656/33275399955*x^2*y*z - 9125402/3441025*x*y^2*z + 
        37144475998626193/321779772644841*x^2*z^2 + 
        2947238406506/33275399955*x*y*z^2 + 41424889/3441025*y^2*z^2 - 
        138433870261975840/321779772644841*x*z^3 - 
        2638355989664/33275399955*y*z^3 + 98928678042255616/321779772644841*z^4\
        ,
    x^4 - 338/345*x^3*y + 28561/119025*x^2*y^2 + 63832/44643*x^3*z - 
        54478526/15401835*x^2*y*z + 980894/357075*x*y^2*z - 
        277253222/221444161*x^2*z^2 - 289659358/46205505*x*y*z^2 + 
        4170769/1071225*y^2*z^2 - 7536452744/5978992347*x*z^3 - 
        724956586/138616515*y*z^3 + 13939816489/17936977041*z^4,
    x^4 - 58/161*x^3*y + 841/25921*x^2*y^2 - 19184/4071*x^3*z - 
        177071/31211*x^2*y*z - 105361/77763*x*y^2*z + 259487911/33146082*x^2*z^2
        + 10703369/1310862*x*y*z^2 + 1346921/933156*y^2*z^2 - 
        266748724/49719123*x*z^3 - 1546533/873908*y*z^3 + 
        3093473161/2386517904*z^4,
    x^4 + 1949/384*x^3*y + 3798601/589824*x^2*y^2 - 2805441/467780*x^3*z + 
        93845509/359255040*x^2*y*z - 4271203/294912*x*y^2*z + 
        11348692363441/875272513600*x^2*z^2 - 5572829107/179627520*x*y*z^2 + 
        7108609/589824*y^2*z^2 - 5214986582403/437636256800*x*z^3 + 
        8436520781/359255040*y*z^3 + 3455446007689/875272513600*z^4,
    x^4 - 367/73*x^3*y + 134689/21316*x^2*y^2 + 5564024/3629049*x^3*z + 
        2992866958/264920577*x^2*y*z - 105209/15987*x*y^2*z + 
        6326322957976/13169996644401*x^2*z^2 + 23758180828/794761731*x*y*z^2 - 
        412751/47961*y^2*z^2 - 1083404497184/13169996644401*x*z^3 + 
        11257104392/794761731*y*z^3 + 37914320656/13169996644401*z^4,
    x^4 - 197/115*x^3*y + 38809/52900*x^2*y^2 - 131248/71139*x^3*z + 
        9307557/2726995*x^2*y*z - 38333/79350*x*y^2*z + 
        6326430142/5060757321*x^2*z^2 - 23474827/24542955*x*y*z^2 + 
        55921/476100*y^2*z^2 - 1863327856/5060757321*x*z^3 - 
        483589/24542955*y*z^3 + 201554809/5060757321*z^4,
    x^4 - 443/72*x^3*y + 196249/20736*x^2*y^2 - 4017/37672*x^3*z + 
        68361997/5424768*x^2*y*z - 146977/20736*x*y^2*z - 
        2581649487/5676718336*x^2*z^2 - 37477153/5424768*x*y*z^2 + 
        98281/82944*y^2*z^2 + 138502143/5676718336*x*z^3 + 7766927/7233024*y*z^3
        + 1188801441/22706873344*z^4,
    x^4 + 1442/671*x^3*y + 519841/450241*x^2*y^2 + 24532316/10836955*x^3*z + 
        19334232202/7271596805*x^2*y*z + 610546/2251205*x*y^2*z + 
        117851426551014/117439593672025*x^2*z^2 + 
        29009984158/36357984025*x*y*z^2 + 6154669/11256025*y^2*z^2 - 
        7381504028924/23487918734405*x*z^3 - 767911054/1454319361*y*z^3 + 
        90534190321/4697583746881*z^4,
    x^4 - 7628/3591*x^3*y + 14546596/12895281*x^2*y^2 + 5100073/6922346*x^3*z - 
        61750471274/20715120405*x^2*y*z + 134348234/64476405*x*y^2*z - 
        508554466612959/191675496574864*x^2*z^2 - 
        164318787649/82860481620*x*y*z^2 + 218737277/257905620*y^2*z^2 - 
        49230448761043/47918874143716*x*z^3 - 158770933133/62145361215*y*z^3 + 
        93178304657881/47918874143716*z^4,
    x^4 + 373/160*x^3*y + 139129/102400*x^2*y^2 + 264303/4010*x^3*z - 
        36514919/1283200*x^2*y*z - 331743/51200*x*y^2*z + 
        64556764569/64320400*x^2*z^2 + 147593163/641600*x*y*z^2 + 
        905481/102400*y^2*z^2 - 87320689443/32160200*x*z^3 - 
        337582431/1283200*y*z^3 + 109151605161/64320400*z^4,
    x^4 + 6808/611*x^3*y + 11587216/373321*x^2*y^2 + 4086675/2148511*x^3*z - 
        1929729132/1312740221*x^2*y*z + 12870912/373321*x*y^2*z + 
        24003297524557/18464398068484*x^2*z^2 - 14963087437/1312740221*x*y*z^2 +
        3883721/373321*y^2*z^2 + 3472460007525/9232199034242*x*z^3 - 
        5107495767/1312740221*y*z^3 + 721995188209/18464398068484*z^4,
    x^4 - 67/24*x^3*y + 4489/2304*x^2*y^2 - 6617/2008*x^3*z + 
        25759/32128*x^2*y*z + 4999/2304*x*y^2*z - 5624159/16128256*x^2*z^2 - 
        146027/32128*x*y*z^2 + 16489/9216*y^2*z^2 + 81408951/16128256*x*z^3 - 
        2043091/385536*y*z^3 + 151363809/64513024*z^4,
    x^4 - 1626/113*x^3*y + 660969/12769*x^2*y^2 + 5672388/14669773*x^3*z - 
        71000963410/4973053047*x^2*y*z + 3470438/38307*x*y^2*z - 
        296863333239746/215202239871529*x^2*z^2 + 49938572026/4973053047*x*y*z^2
        + 1656203/38307*y^2*z^2 - 58949537862396/215202239871529*x*z^3 + 
        52593628478/4973053047*y*z^3 + 108001291862689/215202239871529*z^4,
    x^4 + 325/256*x^3*y + 105625/262144*x^2*y^2 - 503/4780*x^3*z - 
        6580965/6363136*x^2*y*z - 138865/65536*x*y^2*z - 
        416318403/1188116800*x^2*z^2 + 1654261/1590784*x*y*z^2 + 
        57481/65536*y^2*z^2 + 5519419/297029200*x*z^3 - 229613/611840*y*z^3 + 
        120406729/3861379600*z^4,
    x^4 - 194/133*x^3*y + 9409/17689*x^2*y^2 - 20952697/9678543*x^3*z + 
        7952148032/1287246219*x^2*y*z - 268301/53067*x*y^2*z + 
        509437597010281/374696778411396*x^2*z^2 - 46165560611/7723477314*x*y*z^2
        + 2969929/636804*y^2*z^2 - 2117416700729/10408243844761*x*z^3 + 
        1682789561/1287246219*y*z^3 + 91912655241/10408243844761*z^4,
    x^4 - 2728/1425*x^3*y + 1860496/2030625*x^2*y^2 + 1456221/2227085*x^3*z + 
        1059537148/1057865375*x^2*y*z - 20764816/14214375*x*y^2*z - 
        13283623935419/19839630388900*x^2*z^2 - 18296730073/7405057625*x*y*z^2 +
        251329009/99500625*y^2*z^2 - 21160347351/83359791550*x*z^3 + 
        2666935759/3173596125*y*z^3 + 211149961/1401004900*z^4,
    x^4 - 5728/771*x^3*y + 8202496/594441*x^2*y^2 - 7069245/52942*x^3*z - 
        2175265400/6803047*x^2*y*z + 8201600/594441*x*y^2*z + 
        48307586356705/11211421456*x^2*z^2 - 11584519677/13606094*x*y*z^2 + 
        1063201/594441*y^2*z^2 + 55635771113175/5605710728*x*z^3 - 
        20937809245/40818282*y*z^3 + 61938710113225/11211421456*z^4,
    x^4 + 15716/2977*x^3*y + 61748164/8862529*x^2*y^2 - 17326753/381743*x^3*z + 
        527004653524/1136448911*x^2*y*z + 557844268/8862529*x*y^2*z + 
        130569760472373/582910872196*x^2*z^2 + 2346076980913/1136448911*x*y*z^2 
        + 1216405369/8862529*y^2*z^2 + 1925002483547789/291455436098*x*z^3 + 
        1902790898119/1136448911*y*z^3 + 12343212888600169/582910872196*z^4,
    x^4 - 9982/111*x^3*y + 24910081/12321*x^2*y^2 - 263159818/51823051*x^3*z + 
        737651248162/2465296569*x^2*y*z - 17450300/4107*x*y^2*z + 
        25755259690588317/2685628614948601*x^2*z^2 - 
        5679209553032/17257075983*x*y*z^2 + 27522212/12321*y^2*z^2 - 
        21434398228958524/2685628614948601*x*z^3 + 
        2066320845352/17257075983*y*z^3 + 6634121722213924/2685628614948601*z^4\
        ,
    x^4 + 331/160*x^3*y + 109561/102400*x^2*y^2 + 21653081/881530*x^3*z + 
        9011034789/282089600*x^2*y*z + 207709/25600*x*y^2*z + 
        521023233125121/3108380563600*x^2*z^2 + 14338249061/70522400*x*y*z^2 + 
        1123921/25600*y^2*z^2 + 160173664835789/777095140900*x*z^3 + 
        11940511469/70522400*y*z^3 + 54719588658361/777095140900*z^4,
    x^4 - 167/376*x^3*y + 27889/565504*x^2*y^2 - 876676/23453*x^3*z + 
        11729268/1102291*x^2*y*z - 31243/141376*x*y^2*z + 
        211933408500/550043209*x^2*z^2 - 169346839/2204582*x*y*z^2 + 
        635401/141376*y^2*z^2 - 369936231776/550043209*x*z^3 + 
        82662014/1102291*y*z^3 + 178063744576/550043209*z^4,
    x^4 + 3416/477*x^3*y + 2917264/227529*x^2*y^2 - 3668600/9034221*x^3*z - 
        5949997312/615617631*x^2*y*z - 5070142/227529*x*y^2*z - 
        59941165555256/81617149076841*x^2*z^2 + 24929110384/4309323417*x*y*z^2 +
        2412589/227529*y^2*z^2 + 1836222346400/11659592725263*x*z^3 - 
        1164640336/615617631*y*z^3 + 250524274576/1665656103609*z^4,
    x^4 - 3649/635*x^3*y + 13315201/1612900*x^2*y^2 - 158803508/201937493*x^3*z 
        - 578646727147/25646061611*x^2*y*z + 9798879/403225*x*y^2*z - 
        72769988024290458/40778751079125049*x^2*z^2 - 
        3729909783441/128230308055*x*y*z^2 + 5674041/403225*y^2*z^2 + 
        31092116440025372/40778751079125049*x*z^3 - 
        1505196272147/128230308055*y*z^3 + 38333668887239881/40778751079125049*\
        z^4,
    x^4 - 163/78*x^3*y + 26569/24336*x^2*y^2 - 275932/23075*x^3*z + 
        21373009/1799850*x^2*y*z + 5987/12168*x*y^2*z + 
        22467208006/532455625*x^2*z^2 - 4871923/359970*x*y*z^2 + 
        174721/24336*y^2*z^2 - 20523546228/532455625*x*z^3 + 
        20034237/599950*y*z^3 + 5532235641/532455625*z^4,
    x^4 - 527/196*x^3*y + 277729/153664*x^2*y^2 - 5468/6167*x^3*z + 
        1308117/1208732*x^2*y*z - 154999/76832*x*y^2*z - 
        114545506/38031889*x^2*z^2 + 1079637/1208732*x*y*z^2 + 
        369265/153664*y^2*z^2 + 54094924/38031889*x*z^3 + 4815655/1208732*y*z^3 
        + 97871449/38031889*z^4,
    x^4 + 4/3*x^3*y + 4/9*x^2*y^2 + 2/93*x^3*z + 1982/279*x^2*y*z + 
        44/27*x*y^2*z - 54587/34596*x^2*z^2 + 4825/837*x*y*z^2 + 349/324*y^2*z^2
        - 587/34596*x*z^3 + 4069/6696*y*z^3 + 344569/553536*z^4,
    x^4 + 218/35*x^3*y + 11881/1225*x^2*y^2 - 1098402/409997*x^3*z - 
        7150394/387835*x^2*y*z + 9752/1225*x*y^2*z + 
        424729077609/168097540009*x^2*z^2 + 146845616/14349895*x*y*z^2 - 
        4304/1225*y^2*z^2 - 164905289064/168097540009*x*z^3 - 
        4490112/2869979*y*z^3 + 22539617424/168097540009*z^4,
    x^4 + 3083/380*x^3*y + 9504889/577600*x^2*y^2 - 35821456/6166887*x^3*z + 
        422233445/468683412*x^2*y*z - 19067113/866400*x*y^2*z + 
        433167007397374/38030495270769*x^2*z^2 - 84677142239/7030251180*x*y*z^2 
        + 38392921/5198400*y^2*z^2 - 108789582764720/12676831756923*x*z^3 + 
        12140541983/2343417060*y*z^3 + 9223338630025/4225610585641*z^4,
    x^4 - 1898/1211*x^3*y + 900601/1466521*x^2*y^2 + 92694127/132458142*x^3*z - 
        172167665428/80203404981*x^2*y*z + 12111773/8799126*x*y^2*z - 
        99525519273412739/70180637528368656*x^2*z^2 - 
        5308933658009/1924881719544*x*y*z^2 + 627875929/211179024*y^2*z^2 - 
        4203373046913281/7797848614263184*x*z^3 - 
        1454106181543/1283254479696*y*z^3 + 18506911256731881/31191394457052736\
        *z^4,
    x^4 - 307/49*x^3*y + 94249/9604*x^2*y^2 - 290308/191905*x^3*z + 
        77429907/9403345*x^2*y*z - 29593/4802*x*y^2*z + 
        25841593446/36827529025*x^2*z^2 - 28331193/9403345*x*y*z^2 + 
        13001/9604*y^2*z^2 - 3609399364/36827529025*x*z^3 + 
        2388313/9403345*y*z^3 + 154579489/36827529025*z^4,
    x^4 - 658/605*x^3*y + 108241/366025*x^2*y^2 - 1203854/155067*x^3*z + 
        230791610/18763107*x^2*y*z - 1591958/366025*x*y^2*z + 
        444771750043/24045774489*x^2*z^2 - 1561684942/93815535*x*y*z^2 + 
        1336201/366025*y^2*z^2 - 320069866834/24045774489*x*z^3 + 
        634068022/93815535*y*z^3 + 70687388641/24045774489*z^4,
    x^4 + 317/364*x^3*y + 100489/529984*x^2*y^2 + 213057/31198*x^3*z - 
        57564721/22712144*x^2*y*z + 40189/264992*x*y^2*z + 
        68170445881/3893260816*x^2*z^2 - 157883975/11356072*x*y*z^2 + 
        723091/10069696*y^2*z^2 + 38887376697/1946630408*x*z^3 - 
        63053429/61647248*y*z^3 + 33313915441/3893260816*z^4,
    x^4 + 256/7*x^3*y + 16384/49*x^2*y^2 + 561493/59440*x^3*z - 
        35871901/52010*x^2*y*z - 83864/49*x*y^2*z - 
        227771353031/14132454400*x^2*z^2 + 67633129/23776*x*y*z^2 + 
        428929/196*y^2*z^2 - 160306812993/883278400*x*z^3 - 
        351162303/104020*y*z^3 + 81510821001/220819600*z^4,
    x^4 + 2539/505*x^3*y + 6446521/1020100*x^2*y^2 - 10620324/177659*x^3*z + 
        7908380604/89717795*x^2*y*z - 12895881/510050*x*y^2*z + 
        30696232942838/31562720281*x^2*z^2 - 35609211351/89717795*x*y*z^2 + 
        25548741/1020100*y^2*z^2 - 74676627660492/31562720281*x*z^3 + 
        34188917046/89717795*y*z^3 + 49441753179289/31562720281*z^4,
    x^4 + 4*x^3*y + 4*x^2*y^2 - 13/3*x^3*z + 41/6*x^2*y*z - 4*x*y^2*z + 
        77/12*x^2*z^2 - 19/2*x*y*z^2 + 4/3*y^2*z^2 - 403/108*x*z^3 + 52/27*y*z^3
        + 961/1296*z^4,
    x^4 + 19/58*x^3*y + 361/13456*x^2*y^2 + 6904/3277*x^3*z - 
        131234531/190066*x^2*y*z - 44299/6728*x*y^2*z - 
        5818161626/10738729*x^2*z^2 + 381780061/190066*x*y*z^2 + 
        247441/13456*y^2*z^2 - 6141418680/10738729*x*z^3 - 2960745/190066*y*z^3 
        + 791290307025/10738729*z^4,
    x^4 + 3818/2563*x^3*y + 3644281/6568969*x^2*y^2 - 136623850/47771291*x^3*z +
        16491050330/11130710803*x^2*y*z + 15887248/6568969*x*y^2*z - 
        6590236257097875/2282096243806681*x^2*z^2 + 
        640922569840/122437818833*x*y*z^2 + 50689384/6568969*y^2*z^2 + 
        16096919539112500/2282096243806681*x*z^3 - 
        359202894500/122437818833*y*z^3 + 13881375670562500/2282096243806681*z^\
        4,
    x^4 - 11/5*x^3*y + 121/100*x^2*y^2 + 67/33*x^3*z - 527/330*x^2*y*z - 
        58/75*x*y^2*z - 2669/1452*x^2*z^2 + 692/99*x*y*z^2 - 716/225*y^2*z^2 - 
        9514/3267*x*z^3 + 10312/1485*y*z^3 + 20164/9801*z^4,
    x^4 + 526/9*x^3*y + 69169/81*x^2*y^2 - 503306/145101*x^3*z - 
        16596064/118719*x^2*y*z - 37946/27*x*y^2*z + 
        94993172629/21054300201*x^2*z^2 + 48173122/435303*x*y*z^2 + 
        5209/9*y^2*z^2 - 18305239220/7018100067*x*z^3 - 4202180/145101*y*z^3 + 
        1322776900/2339366689*z^4,
    x^4 + 147/29*x^3*y + 21609/3364*x^2*y^2 - 2268475/793962*x^3*z - 
        88448765/2558322*x^2*y*z + 48945/6728*x*y^2*z + 
        7766453582473/2521502629776*x^2*z^2 + 8656963103/184199184*x*y*z^2 - 
        528839/53824*y^2*z^2 - 311962950475/210125219148*x*z^3 - 
        554316415/30699864*y*z^3 + 18912025441/70041739716*z^4,
    x^4 - 934/33*x^3*y + 218089/1089*x^2*y^2 - 1249262/457413*x^3*z + 
        13208578/90387*x^2*y*z - 1588012/3267*x*y^2*z + 
        498107865205/209226652569*x^2*z^2 - 10084505864/45283887*x*y*z^2 + 
        2880964/9801*y^2*z^2 - 147405420428/209226652569*x*z^3 + 
        1598347592/15094629*y*z^3 + 13922584036/209226652569*z^4,
    x^4 - 1244/2415*x^3*y + 386884/5832225*x^2*y^2 - 339511/58650*x^3*z - 
        98125226/70819875*x^2*y*z + 4848514/5832225*x*y^2*z + 
        186606529321/13759290000*x^2*z^2 + 4158059/2380500*x*y*z^2 - 
        726431/23328900*y^2*z^2 - 103240881457/6879645000*x*z^3 + 
        369586099/283279500*y*z^3 + 92468903569/13759290000*z^4,
    x^4 - 502/243*x^3*y + 63001/59049*x^2*y^2 - 261079/193374*x^3*z + 
        179050237/46989882*x^2*y*z - 174424/59049*x*y^2*z + 
        1468325137/149574015504*x^2*z^2 - 56321348/23494941*x*y*z^2 + 
        141394/59049*y^2*z^2 + 2813909462/9348375969*x*z^3 + 
        22937563/46989882*y*z^3 + 464661136/9348375969*z^4,
    x^4 + 2841/2248*x^3*y + 8071281/20214016*x^2*y^2 - 10336369/269198*x^3*z + 
        2870012937/1210314208*x^2*y*z - 8171667/10107008*x*y^2*z + 
        114704597740617/289870252816*x^2*z^2 - 42803729597/605157104*x*y*z^2 + 
        27211129/20214016*y^2*z^2 - 75489014544667/144935126408*x*z^3 + 
        33691771241/1210314208*y*z^3 + 53337358317049/289870252816*z^4,
    x^4 + 13*x^3*y + 169/4*x^2*y^2 - 217479/32720*x^3*z - 3960397/65440*x^2*y*z 
        - 2297/20*x*y^2*z + 13620524957/856478720*x^2*z^2 + 
        6194549/65440*x*y*z^2 + 33001/400*y^2*z^2 - 
        345718319577/21411968000*x*z^3 - 316005413/6544000*y*z^3 + 
        2527028453569/428239360000*z^4,
    x^4 + 262/155*x^3*y + 17161/24025*x^2*y^2 + 5824347/483910*x^3*z + 
        117514209/37503025*x^2*y*z - 75951/48050*x*y^2*z + 
        22100113371289/936675552400*x^2*z^2 + 8836334609/300024200*x*y*z^2 + 
        1672841/384400*y^2*z^2 - 4446894758847/58542222025*x*z^3 - 
        1059575151/37503025*y*z^3 + 2331735108004/58542222025*z^4,
    x^4 - 156/227*x^3*y + 6084/51529*x^2*y^2 - 301477671/62347366*x^3*z + 
        4185499353318/389203432255*x^2*y*z - 12946302/2834095*x*y^2*z + 
        127058949365015177/15548776188551824*x^2*z^2 - 
        18798492885423/1556813729020*x*y*z^2 + 44872951/11336380*y^2*z^2 - 
        43724768490356679/7774388094275912*x*z^3 + 
        4614302263163/1556813729020*y*z^3 + 21035107424452801/15548776188551824\
        *z^4,
    x^4 - 2612/459*x^3*y + 1705636/210681*x^2*y^2 - 451948/1097911*x^3*z - 
        1104251798/839901915*x^2*y*z + 1446118/210681*x*y^2*z - 
        1543085520306/6027042819605*x^2*z^2 - 860994292/839901915*x*y*z^2 + 
        1346986/210681*y^2*z^2 + 370151287324/6027042819605*x*z^3 + 
        491199706/2519705745*y*z^3 + 670782294169/30135214098025*z^4,
    x^4 + 1082/215*x^3*y + 292681/46225*x^2*y^2 - 6470568/8593679*x^3*z + 
        9272346286/1847640985*x^2*y*z + 767666/46225*x*y^2*z - 
        59915220011418/73851318755041*x^2*z^2 - 738503906/369528197*x*y*z^2 + 
        302569/46225*y^2*z^2 + 26496995371704/73851318755041*x*z^3 - 
        2922288258/1847640985*y*z^3 + 16769049570009/73851318755041*z^4,
    x^4 - 157/41*x^3*y + 24649/6724*x^2*y^2 + 67876917/34708099*x^3*z + 
        985577829361/36998833534*x^2*y*z - 416461/21853*x*y^2*z - 
        1984048978607711/4818608544775204*x^2*z^2 - 
        515451494734/18499416767*x*y*z^2 + 237733/21853*y^2*z^2 - 
        1611291103435725/1204652136193801*x*z^3 + 138663856850/18499416767*y*z^3
        + 563512821480625/1204652136193801*z^4,
    x^4 - 1782/707*x^3*y + 793881/499849*x^2*y^2 + 225015/1850623*x^3*z - 
        4461122700/1308390461*x^2*y*z + 1540603/499849*x*y^2*z - 
        34305288543243/13699221952516*x^2*z^2 - 7825939893/2616780922*x*y*z^2 + 
        3457729/1999396*y^2*z^2 - 1044323641935/6849610976258*x*z^3 - 
        6525862317/2616780922*y*z^3 + 21540078394641/13699221952516*z^4,
    x^4 - 41/20*x^3*y + 1681/1600*x^2*y^2 + 491/1732*x^3*z + 
        1542437/484960*x^2*y*z - 10991/2800*x*y^2*z + 16383321/11999296*x^2*z^2 
        - 133953/24248*x*y*z^2 + 18343/2800*y^2*z^2 + 572015/2999824*x*z^3 - 
        347371/121240*y*z^3 + 1357225/2999824*z^4,
    x^4 - 8*x^3*y + 16*x^2*y^2 + 1329/1000*x^3*z - 36479/500*x^2*y*z + 
        92*x*y^2*z - 2573759/4000000*x^2*z^2 - 137221/1000*x*y*z^2 + 85*y^2*z^2 
        - 288393/400000*x*z^3 - 14701/200*y*z^3 + 47089/160000*z^4,
    x^4 - 8263/1222*x^3*y + 68277169/5973136*x^2*y^2 - 1739785/46004869*x^3*z - 
        570895713931/112435899836*x^2*y*z + 23974085/1493284*x*y^2*z - 
        15105667353334103/8465791886828644*x^2*z^2 + 
        149753121611/28108974959*x*y*z^2 + 15991145/1493284*y^2*z^2 + 
        71421460703865/2116447971707161*x*z^3 + 155212657189/28108974959*y*z^3 +
        1685257590468321/2116447971707161*z^4,
    x^4 - 50/273*x^3*y + 625/74529*x^2*y^2 - 234004/34437*x^3*z - 
        44261200/9401301*x^2*y*z - 197380/223587*x*y^2*z + 
        15098492296/1185906969*x^2*z^2 + 281428312/28203903*x*y*z^2 + 
        1166656/670761*y^2*z^2 - 4787253832/1185906969*x*z^3 - 
        5605088/4029129*y*z^3 + 418529764/1185906969*z^4,
    x^4 + 13/11*x^3*y + 169/484*x^2*y^2 - 156/77*x^3*z - 125065/62678*x^2*y*z - 
        343/484*x*y^2*z - 700549/438746*x^2*z^2 + 80425/17908*x*y*z^2 + 
        9769/1936*y^2*z^2 + 11895/4477*x*z^3 - 667355/250712*y*z^3 + 
        4558225/2650384*z^4,
    x^4 + 138/29*x^3*y + 4761/841*x^2*y^2 + 6458/5481*x^3*z + 
        445582/88305*x^2*y*z + 2404/841*x*y^2*z - 48205643/30041361*x^2*z^2 + 
        1010672/794745*x*y*z^2 + 49204/7569*y^2*z^2 - 103625068/90124083*x*z^3 -
        7029320/1430541*y*z^3 + 257474116/270372249*z^4,
    x^4 + 652/819*x^3*y + 106276/670761*x^2*y^2 - 30919128/10149035*x^3*z - 
        547698401/131937455*x^2*y*z - 1177726/670761*x*y^2*z + 
        2617877615162161/1648046582899600*x^2*z^2 + 
        37230973127/5541373110*x*y*z^2 + 194060537/53660880*y^2*z^2 + 
        18371855990775/16480465828996*x*z^3 - 5259118300517/2659859092800*y*z^3 
        + 564899998140625/4218999252222976*z^4,
    x^4 - 658/209*x^3*y + 108241/43681*x^2*y^2 - 6683144/261991*x^3*z - 
        911088542/54756119*x^2*y*z - 500358/43681*x*y^2*z + 
        13997038273990/68639284081*x^2*z^2 + 6317116482/54756119*x*y*z^2 + 
        565821/43681*y^2*z^2 - 36107242632552/68639284081*x*z^3 - 
        7235608590/54756119*y*z^3 + 29189523869289/68639284081*z^4,
    x^4 - 300/101*x^3*y + 22500/10201*x^2*y^2 + 8163341/3149180*x^3*z - 
        487312621/47710077*x^2*y*z + 288665/30603*x*y^2*z - 
        20340719186519/39669338689600*x^2*z^2 - 48330101519/3816806160*x*y*z^2 +
        9724627/489648*y^2*z^2 - 704602451733/247933366810*x*z^3 + 
        167044922/47710077*y*z^3 + 29799735876/24793336681*z^4,
    x^4 - 178/53*x^3*y + 7921/2809*x^2*y^2 - 8250790/2107757*x^3*z + 
        7712390814/111711121*x^2*y*z - 171196/2809*x*y^2*z + 
        10660919225805/4442639571049*x^2*z^2 - 29946448196/111711121*x*y*z^2 + 
        356644/2809*y^2*z^2 + 12444089001700/4442639571049*x*z^3 + 
        32639484200/111711121*y*z^3 + 2274757732900/4442639571049*z^4,
    x^4 - 618/269*x^3*y + 95481/72361*x^2*y^2 + 30238016/39015491*x^3*z - 
        58280453709/10495167079*x^2*y*z + 2412705/506527*x*y^2*z - 
        5735866631927793/3044417075942162*x^2*z^2 - 
        989334152981/146932339106*x*y*z^2 + 58852873/14182756*y^2*z^2 - 
        1199940714925424/1522208537971081*x*z^3 - 
        1297327464127/293864678212*y*z^3 + 25196079890718361/24355336607537296*\
        z^4,
    x^4 - 86/9*x^3*y + 1849/81*x^2*y^2 - 48072/8747*x^3*z + 
        3839483/78723*x^2*y*z - 8291/81*x*y^2*z + 1400558279/153020018*x^2*z^2 -
        10528133/157446*x*y*z^2 + 41869/324*y^2*z^2 - 336756378/76510009*x*z^3 +
        356947/34988*y*z^3 + 785176441/1224160144*z^4,
    x^4 - 239/115*x^3*y + 57121/52900*x^2*y^2 - 2407036/1432095*x^3*z + 
        664595653/164690925*x^2*y*z - 62681/26450*x*y^2*z + 
        721933733494/2050896089025*x^2*z^2 - 505861637/1152836475*x*y*z^2 + 
        446209/2592100*y^2*z^2 + 610561530652/2050896089025*x*z^3 - 
        251544599/1152836475*y*z^3 + 64341873649/2050896089025*z^4,
    x^4 - 211/60*x^3*y + 44521/14400*x^2*y^2 + 309/5092*x^3*z + 
        5662989/203680*x^2*y*z - 134929/7200*x*y^2*z - 
        539676887/103713856*x^2*z^2 - 1375701/20368*x*y*z^2 + 
        322681/14400*y^2*z^2 - 8188809/51856928*x*z^3 + 31425383/611040*y*z^3 + 
        702303001/103713856*z^4,
    x^4 - 67/20*x^3*y + 4489/1600*x^2*y^2 - 104888/13525*x^3*z + 
        182038/67625*x^2*y*z - 2949/400*x*y^2*z + 3126584536/182925625*x^2*z^2 +
        455493/67625*x*y*z^2 + 1809/400*y^2*z^2 - 1458782304/182925625*x*z^3 - 
        195588/67625*y*z^3 + 193432464/182925625*z^4,
    x^4 - 29/31*x^3*y + 841/3844*x^2*y^2 + 303472/208041*x^3*z + 
        10647154/6449271*x^2*y*z - 5573/5766*x*y^2*z - 
        36379381280/43281057681*x^2*z^2 - 100560682/19347813*x*y*z^2 + 
        83689/34596*y^2*z^2 - 43326090496/43281057681*x*z^3 + 
        2699696/19347813*y*z^3 + 20382701824/43281057681*z^4,
    x^4 - 178/49*x^3*y + 7921/2401*x^2*y^2 - 173315/54306*x^3*z + 
        34172695/2660994*x^2*y*z - 27589/2401*x*y^2*z - 
        92078618243/11796566544*x^2*z^2 + 15304001/1330497*x*y*z^2 - 
        83159/9604*y^2*z^2 + 194864813785/11796566544*x*z^3 - 
        209072681/10643976*y*z^3 + 1264138186921/47186266176*z^4,
    x^4 + 491/65*x^3*y + 241081/16900*x^2*y^2 + 684688/161707*x^3*z + 
        360331731/10510955*x^2*y*z + 2783923/59150*x*y^2*z + 
        80184358622/26149153849*x^2*z^2 + 3564558169/73576685*x*y*z^2 + 
        30340209/828100*y^2*z^2 - 78363226288/26149153849*x*z^3 + 
        286199751/14715337*y*z^3 + 13099031401/26149153849*z^4,
    x^4 - 2010/77*x^3*y + 1010025/5929*x^2*y^2 - 1164902/64095*x^3*z + 
        1717780/329021*x^2*y*z - 4087770/5929*x*y^2*z + 
        459260645401/4108169025*x^2*z^2 + 1502439418/4935315*x*y*z^2 + 
        4137841/5929*y^2*z^2 - 43623250096/164326761*x*z^3 - 
        416002096/987063*y*z^3 + 35058817600/164326761*z^4,
    x^4 - 118/7*x^3*y + 3481/49*x^2*y^2 - 43022/8087*x^3*z - 
        51918926/849135*x^2*y*z + 36676/735*x*y^2*z + 337245229/65399569*x^2*z^2
        - 4444096/121305*x*y*z^2 + 6316/735*y^2*z^2 + 333764676/65399569*x*z^3 -
        5052536/849135*y*z^3 + 60186564/65399569*z^4,
    x^4 + 4233/1276*x^3*y + 17918289/6512704*x^2*y^2 + 1267348/2882745*x^3*z - 
        5124172421/1226127540*x^2*y*z - 15384601/3256352*x*y^2*z - 
        5012131296434/8310218735025*x^2*z^2 + 35829418321/11035147860*x*y*z^2 + 
        96315433/58614336*y^2*z^2 - 44074561396/307785879075*x*z^3 - 
        3458169229/3678382620*y*z^3 + 10884957561/102595293025*z^4,
    x^4 + 98/11*x^3*y + 2401/121*x^2*y^2 - 260140/34639*x^3*z - 
        24515178/381029*x^2*y*z - 16818/121*x*y^2*z + 
        22520786038/1199860321*x^2*z^2 + 48975342/381029*x*y*z^2 + 
        26577/121*y^2*z^2 - 21037781940/1199860321*x*z^3 - 23680098/381029*y*z^3
        + 6540118641/1199860321*z^4,
    x^4 + 13/31*x^3*y + 169/3844*x^2*y^2 - 17729/4340*x^3*z + 
        1576373/269080*x^2*y*z + 11981/3844*x*y^2*z + 376214521/75342400*x^2*z^2
        + 214259/269080*x*y*z^2 + 59649/15376*y^2*z^2 - 126425499/75342400*x*z^3
        - 3104427/1076320*y*z^3 + 50851161/301369600*z^4,
    x^4 + 16/265*x^3*y + 64/70225*x^2*y^2 - 928268/21041*x^3*z - 
        90847622/5575865*x^2*y*z - 84364/70225*x*y^2*z + 
        218648396012/442723681*x^2*z^2 + 145523242/1115173*x*y*z^2 + 
        585316/70225*y^2*z^2 - 71205581744/442723681*x*z^3 - 
        85688544/5575865*y*z^3 + 5884117264/442723681*z^4,
    x^4 - 705/259*x^3*y + 497025/268324*x^2*y^2 - 46712/3885*x^3*z + 
        4581519/335405*x^2*y*z + 828207/134162*x*y^2*z + 
        575347306/15093225*x^2*z^2 + 36413189/1006215*x*y*z^2 + 
        719937/268324*y^2*z^2 - 179420792/15093225*x*z^3 - 27523787/335405*y*z^3
        + 14753281/15093225*z^4,
    x^4 + 851/344*x^3*y + 724201/473344*x^2*y^2 + 236048/4364973*x^3*z - 
        3523225825/1501550712*x^2*y*z - 807671/236672*x*y^2*z - 
        11220786251906/19052989290729*x^2*z^2 + 2881252649/1501550712*x*y*z^2 + 
        761641/473344*y^2*z^2 - 303774184016/19052989290729*x*z^3 - 
        1187497567/1501550712*y*z^3 + 1656155364889/19052989290729*z^4,
    x^4 - 1017/554*x^3*y + 1034289/1227664*x^2*y^2 + 144587008/20876105*x^3*z + 
        59972981229/11565362170*x^2*y*z - 29416717/9207480*x*y^2*z + 
        1694990509255806/435811759971025*x^2*z^2 - 
        3383672594021/173480432550*x*y*z^2 + 986254201/276224400*y^2*z^2 - 
        12229024694219008/435811759971025*x*z^3 + 
        2654019889001/173480432550*y*z^3 + 7153607410158001/435811759971025*z^4\
        ,
    x^4 - 244/47*x^3*y + 14884/2209*x^2*y^2 - 43935/103306*x^3*z + 
        24700050/2427691*x^2*y*z - 49326/2209*x*y^2*z - 
        632516076743/42688518544*x^2*z^2 + 129778481/1387252*x*y*z^2 - 
        695911/8836*y^2*z^2 + 67455909795/21344259272*x*z^3 + 
        1033034781/9710764*y*z^3 + 2357321117449/42688518544*z^4,
    x^4 - 83/10*x^3*y + 6889/400*x^2*y^2 - 109/203*x^3*z - 6283/140*x^2*y*z + 
        10961/200*x*y^2*z - 1008803/164836*x^2*z^2 - 90218/1015*x*y*z^2 + 
        17689/400*y^2*z^2 + 137013/82418*x*z^3 - 248223/4060*y*z^3 + 
        1580049/164836*z^4,
    x^4 - 32/5*x^3*y + 256/25*x^2*y^2 + 122432/11101*x^3*z - 
        3871706/55505*x^2*y*z + 2614/25*x*y^2*z + 6482862672/123232201*x^2*z^2 -
        3057324/11101*x*y*z^2 + 7804/25*y^2*z^2 + 15084601856/123232201*x*z^3 - 
        17681072/55505*y*z^3 + 15180211264/123232201*z^4,
    x^4 + 1490/11*x^3*y + 555025/121*x^2*y^2 - 3513674/67965*x^3*z + 
        24053284/6501*x^2*y*z + 320270/121*x*y^2*z + 
        3016774059169/4619241225*x^2*z^2 + 142835726/67965*x*y*z^2 + 
        46201/121*y^2*z^2 + 360348350744/923848245*x*z^3 + 45097496/149523*y*z^3
        + 10517733136/184769649*z^4,
    x^4 - 682/75*x^3*y + 116281/5625*x^2*y^2 + 48726/10615*x^3*z + 
        23185916/796125*x^2*y*z - 24766/5625*x*y^2*z + 
        537423649/112678225*x^2*z^2 - 4630166/796125*x*y*z^2 + 1369/5625*y^2*z^2
        - 128831544/112678225*x*z^3 + 239464/796125*y*z^3 + 
        6990736/112678225*z^4,
    x^4 - 58/99*x^3*y + 841/9801*x^2*y^2 + 45160/7737*x^3*z - 
        4766585/1531926*x^2*y*z + 23677/19602*x*y^2*z + 
        1419048551/478889352*x^2*z^2 - 32741293/6127704*x*y*z^2 + 
        573589/156816*y^2*z^2 - 1940621165/119722338*x*z^3 - 
        337736441/24510816*y*z^3 + 118182625729/15324459264*z^4,
    x^4 + 11/65*x^3*y + 121/16900*x^2*y^2 - 219385/27222*x^3*z - 
        5319917/884715*x^2*y*z - 36281/33800*x*y^2*z + 
        56263004053/2964149136*x^2*z^2 + 72018871/4718480*x*y*z^2 + 
        638041/270400*y^2*z^2 - 32773266995/2964149136*x*z^3 - 
        161290333/28310880*y*z^3 + 22316475769/11856596544*z^4,
    x^4 - 1696/297*x^3*y + 719104/88209*x^2*y^2 - 185012/214841*x^3*z - 
        212939464/21269259*x^2*y*z + 1146241/88209*x*y^2*z - 
        61827559338/46156655281*x^2*z^2 - 193640510/21269259*x*y*z^2 + 
        1864069/352836*y^2*z^2 + 30306260684/46156655281*x*z^3 - 
        211947454/63807777*y*z^3 + 26832733249/46156655281*z^4,
    x^4 - 196/65*x^3*y + 9604/4225*x^2*y^2 - 136891/49815*x^3*z + 
        67980932/3237975*x^2*y*z - 69044/4225*x*y^2*z + 
        21308205061/9926136900*x^2*z^2 - 1544087/39975*x*y*z^2 + 
        225163/12675*y^2*z^2 - 1764935663/4963068450*x*z^3 + 
        207337549/9713925*y*z^3 + 166229449/9926136900*z^4,
    x^4 - 174/91*x^3*y + 7569/8281*x^2*y^2 - 11420/2487*x^3*z + 
        620806/75439*x^2*y*z - 31518/8281*x*y^2*z + 41393158/6185169*x^2*z^2 - 
        3317330/226317*x*y*z^2 + 57073/8281*y^2*z^2 - 6726380/2061723*x*z^3 + 
        805878/75439*y*z^3 + 346921/687241*z^4,
    x^4 - 986/897*x^3*y + 243049/804609*x^2*y^2 - 560294/352383*x^3*z - 
        505801604/316087551*x^2*y*z + 3511058/2413827*x*y^2*z + 
        636053733913/124173778689*x^2*z^2 - 6979074970/948262653*x*y*z^2 + 
        30767545/7241481*y^2*z^2 - 443273236336/124173778689*x*z^3 + 
        7491192536/948262653*y*z^3 + 625908828736/124173778689*z^4,
    x^4 - 268/263*x^3*y + 17956/69169*x^2*y^2 - 1553880589/1389630984*x^3*z + 
        862727945587/91368237198*x^2*y*z - 5736439/415014*x*y^2*z - 
        1122631854938317559/7724297086771233024*x^2*z^2 - 
        116899517441617/8771350771008*x*y*z^2 + 597299929/39841344*y^2*z^2 + 
        988814717564613145/3862148543385616512*x*z^3 + 
        42858906526799/8771350771008*y*z^3 + 
        404943619726758025/7724297086771233024*z^4,
    x^4 + 189/55*x^3*y + 35721/12100*x^2*y^2 - 312381/49565*x^3*z - 
        61828183/2726075*x^2*y*z - 244413/12100*x*y^2*z + 
        138652241201/9826756900*x^2*z^2 + 18158087/474100*x*y*z^2 + 
        1167489/48400*y^2*z^2 - 32355486837/2456689225*x*z^3 - 
        101110851/5452150*y*z^3 + 10728194929/2456689225*z^4,
    x^4 + 106/13*x^3*y + 2809/169*x^2*y^2 - 1565/146*x^3*z - 781003/9490*x^2*y*z
        - 20548/169*x*y^2*z + 16564221/426320*x^2*z^2 + 1262654/4745*x*y*z^2 + 
        37924/169*y^2*z^2 - 1157161/21316*x*z^3 - 1271654/4745*y*z^3 + 
        13667809/532900*z^4,
    x^4 + 272/1005*x^3*y + 18496/1010025*x^2*y^2 - 8268957/1538387*x^3*z - 
        50232825/412287716*x^2*y*z - 312179/4040100*x*y^2*z + 
        113412452344429/9466538247076*x^2*z^2 - 12229573929/2061438580*x*y*z^2 +
        3565937/8080200*y^2*z^2 - 60519131905095/4733269123538*x*z^3 + 
        91190797421/24737262960*y*z^3 + 53565345757225/9466538247076*z^4,
    x^4 + 9/8*x^3*y + 81/256*x^2*y^2 + 656829/21892*x^3*z + 
        29039297/1050816*x^2*y*z + 1207/192*x*y^2*z + 
        417958653609/1917038656*x^2*z^2 + 18483639/87568*x*y*z^2 + 
        3257/64*y^2*z^2 - 50501611323/479259664*x*z^3 - 4761789/87568*y*z^3 + 
        5911610769/479259664*z^4,
    x^4 + 148/49*x^3*y + 5476/2401*x^2*y^2 - 1936783/430388*x^3*z - 
        165474531/5272253*x^2*y*z + 11261/2401*x*y^2*z + 
        5132255531953/740935322176*x^2*z^2 + 6607010441/84356048*x*y*z^2 - 
        511391/38416*y^2*z^2 - 1553797719231/370467661088*x*z^3 - 
        4830613311/84356048*y*z^3 + 643616294049/740935322176*z^4,
    x^4 - 612/377*x^3*y + 93636/142129*x^2*y^2 - 3541678/491811*x^3*z + 
        2194570948/556238241*x^2*y*z - 17320/1279161*x*y^2*z + 
        3824951090509/241878059721*x^2*z^2 + 21127446556/1668714723*x*y*z^2 + 
        7334380/3837483*y^2*z^2 - 827045563204/80626019907*x*z^3 - 
        81594945272/5006144169*y*z^3 + 54530656324/26875339969*z^4,
    x^4 + 36/5*x^3*y + 324/25*x^2*y^2 - 643/159*x^3*z - 16999/530*x^2*y*z - 
        1383/25*x*y^2*z + 8048569/1617984*x^2*z^2 + 6635/159*x*y*z^2 + 
        90301/1600*y^2*z^2 - 1932215/1078656*x*z^3 - 1853077/135680*y*z^3 + 
        9030025/46022656*z^4,
    x^4 + 42/25*x^3*y + 441/625*x^2*y^2 - 107273/60220*x^3*z + 
        9026783/1505500*x^2*y*z + 394/625*x*y^2*z + 
        2114441149/14505793600*x^2*z^2 + 4904609/3011000*x*y*z^2 + 
        867/5000*y^2*z^2 + 16732335267/29011587200*x*z^3 - 709071/48176000*y*z^3
        + 24329448441/232092697600*z^4,
    x^4 + 71724/76219*x^3*y + 1286083044/5809335961*x^2*y^2 - 
        250539941/313872507*x^3*z - 9991356469020/2658116512337*x^2*y*z - 
        10048554732/5809335961*x*y^2*z - 1713112112656902083/394063802601860196\
        *x^2*z^2 + 252209238472969/23923048611033*x*y*z^2 + 
        29733553873/5809335961*y^2*z^2 + 354387096237908633/197031901300930098*\
        x*z^3 - 192477773756077/23923048611033*y*z^3 + 
        2000791615420388569/394063802601860196*z^4,
    x^4 - 787/56*x^3*y + 619369/12544*x^2*y^2 - 131699/38059*x^3*z + 
        505154521/4262608*x^2*y*z - 1204837/6272*x*y^2*z + 
        22333248085/5793949924*x^2*z^2 - 269967317/1065652*x*y*z^2 + 
        2189041/12544*y^2*z^2 - 4315644531/2896974962*x*z^3 + 
        686348301/4262608*y*z^3 + 1073807361/5793949924*z^4,
    x^4 - 248/95*x^3*y + 15376/9025*x^2*y^2 - 999659/1408964*x^3*z - 
        1239415924/234240265*x^2*y*z + 312276/63175*x*y^2*z - 
        17300638831223/7940718213184*x^2*z^2 - 14571995637/1873922120*x*y*z^2 + 
        746343/252700*y^2*z^2 + 3245951752881/3970359106592*x*z^3 - 
        8088040413/1873922120*y*z^3 + 10543392149481/7940718213184*z^4,
    x^4 - 104/27*x^3*y + 2704/729*x^2*y^2 - 405695/152856*x^3*z + 
        14981815/1031778*x^2*y*z - 8824/729*x*y^2*z + 
        230190865393/93459826944*x^2*z^2 - 178813285/16508448*x*y*z^2 + 
        61801/11664*y^2*z^2 - 87057684355/93459826944*x*z^3 + 
        73134539/33016896*y*z^3 + 46048438921/373839307776*z^4,
    x^4 + 47/11*x^3*y + 2209/484*x^2*y^2 - 83608/22935*x^3*z - 
        5078941/252285*x^2*y*z - 27993/1210*x*y^2*z + 
        1678081366/526014225*x^2*z^2 + 11451817/420475*x*y*z^2 + 
        332561/12100*y^2*z^2 + 8444408/35067615*x*z^3 - 2125691/252285*y*z^3 + 
        10201/2337841*z^4,
    x^4 - 376/685*x^3*y + 35344/469225*x^2*y^2 + 839245/656367*x^3*z - 
        54066467692/39116191365*x^2*y*z + 6152464/4223025*x*y^2*z - 
        80189597004847/49974846087924*x^2*z^2 - 7091184637/2607746091*x*y*z^2 + 
        3411923/1407675*y^2*z^2 - 32162200661855/24987423043962*x*z^3 - 
        149448307349/39116191365*y*z^3 + 1468635390282841/1449270536549796*z^4,
    x^4 + 1427/230*x^3*y + 2036329/211600*x^2*y^2 - 230543/124913*x^3*z - 
        275120721/11491996*x^2*y*z - 3287467/105800*x*y^2*z - 
        335173491/62413030276*x^2*z^2 + 434818739/14364995*x*y*z^2 + 
        5129041/211600*y^2*z^2 + 24678475435/31206515138*x*z^3 - 
        717827977/57459980*y*z^3 + 11458632025/62413030276*z^4,
    x^4 - 1876/891*x^3*y + 879844/793881*x^2*y^2 - 2589731/156404*x^3*z + 
        217033238/11612997*x^2*y*z - 817361/793881*x*y^2*z + 
        6802414326465/97848844864*x^2*z^2 - 5140797971/185807952*x*y*z^2 + 
        276924961/12702096*y^2*z^2 - 792361865953/97848844864*x*z^3 + 
        139265432353/1114847712*y*z^3 + 93613357369/391395379456*z^4,
    x^4 + 194/27*x^3*y + 9409/729*x^2*y^2 - 23350/6363*x^3*z - 
        3159818/171801*x^2*y*z - 107524/5103*x*y^2*z + 
        198019453/40487769*x^2*z^2 + 17515280/1202607*x*y*z^2 + 
        374980/35721*y^2*z^2 - 792639100/283414383*x*z^3 - 
        27308888/8418249*y*z^3 + 1152330916/1983900681*z^4,
    x^4 - 392/135*x^3*y + 38416/18225*x^2*y^2 - 579052/770553*x^3*z - 
        260498/2972133*x^2*y*z + 44758/54675*x*y^2*z - 
        343135544114/593751925809*x^2*z^2 + 130859816/312073965*x*y*z^2 - 
        50774/164025*y^2*z^2 + 68753739220/254465111061*x*z^3 - 
        47433142/133745985*y*z^3 + 14098000225/109056476169*z^4,
    x^4 - 2465/1014*x^3*y + 6076225/4112784*x^2*y^2 - 505664/532415*x^3*z - 
        54190623/35991254*x^2*y*z + 4735505/2056392*x*y^2*z - 
        253104621186/283465732225*x^2*z^2 - 408226703/179956270*x*y*z^2 + 
        4693729/4112784*y^2*z^2 + 150549825728/283465732225*x*z^3 - 
        631091579/539868810*y*z^3 + 88641366529/283465732225*z^4,
    x^4 - 236/99*x^3*y + 13924/9801*x^2*y^2 - 56107/42441*x^3*z + 
        10726964/4201659*x^2*y*z + 32948/68607*x*y^2*z + 
        35655775/1029279132*x^2*z^2 + 6446683/29411613*x*y*z^2 + 
        45169/480249*y^2*z^2 + 3352729892/12608669367*x*z^3 - 
        49166956/205881291*y*z^3 + 3570779536/88260685569*z^4,
    x^4 + 641/272*x^3*y + 410881/295936*x^2*y^2 - 880961/60877*x^3*z - 
        190955615/231819616*x^2*y*z + 2797013/1035776*x*y^2*z + 
        913271784797/14824036516*x^2*z^2 - 2304854619/57954904*x*y*z^2 + 
        3409855/2071552*y^2*z^2 - 496286736467/7412018258*x*z^3 - 
        2209311547/231819616*y*z^3 + 317359842409/14824036516*z^4,
    x^4 + 10651/5772*x^3*y + 113443801/133263936*x^2*y^2 - 
        7109345/77161613*x^3*z - 150285690986/37114735853*x^2*y*z - 
        407761643/133263936*x*y^2*z - 20046131725947987/23815658083047076*x^2*z\
        ^2 + 2459347916489/593835773648*x*y*z^2 + 972404449/533055744*y^2*z^2 + 
        462905669365945/11907829041523538*x*z^3 - 
        2797751126483/1781507320944*y*z^3 + 4239609137022961/23815658083047076*\
        z^4,
    x^4 + 11062/605*x^3*y + 30591961/366025*x^2*y^2 + 9283201/11556589*x^3*z + 
        418417659316/6991736345*x^2*y*z + 56616847/366025*x*y^2*z - 
        715437440282571/534218997259684*x^2*z^2 + 
        884968338731/13983472690*x*y*z^2 + 103288969/1464100*y^2*z^2 - 
        160980796179487/267109498629842*x*z^3 + 60251911417/2796694538*y*z^3 + 
        300713298341569/534218997259684*z^4,
    x^4 + 16/187*x^3*y + 64/34969*x^2*y^2 + 82460/12223*x^3*z - 
        58106420/2285701*x^2*y*z - 126576/34969*x*y^2*z + 
        72713802/149401729*x^2*z^2 + 75887508/2285701*x*y*z^2 + 
        164256/34969*y^2*z^2 - 5488784980/149401729*x*z^3 - 
        11906216/2285701*y*z^3 + 4430632969/149401729*z^4,
    x^4 - 526/231*x^3*y + 69169/53361*x^2*y^2 - 233786/468303*x^3*z + 
        225730145/108177993*x^2*y*z - 91339/53361*x*y^2*z - 
        394830816997/438615399618*x^2*z^2 + 451422551/216355986*x*y*z^2 - 
        133559/213444*y^2*z^2 + 105374948245/438615399618*x*z^3 + 
        186861365/432711972*y*z^3 + 812639146225/3508923196944*z^4,
    x^4 - 313/165*x^3*y + 97969/108900*x^2*y^2 + 5437616/1812635*x^3*z - 
        1100826971/299084775*x^2*y*z + 21316/27225*x*y^2*z + 
        11955439444294/3285645643225*x^2*z^2 - 3123901541/299084775*x*y*z^2 + 
        210424/27225*y^2*z^2 + 6844919959344/3285645643225*x*z^3 - 
        345903923/99694925*y*z^3 + 1584600098481/3285645643225*z^4,
    x^4 - 7876/3731*x^3*y + 15507844/13920361*x^2*y^2 - 316027/108773*x^3*z + 
        2123760150/405832063*x^2*y*z - 28092248/13920361*x*y^2*z + 
        95322437501/47326262116*x^2*z^2 - 1503217374/405832063*x*y*z^2 + 
        9542404/13920361*y^2*z^2 + 3305326393/23663131058*x*z^3 + 
        20623034/31217851*y*z^3 + 109390681/47326262116*z^4,
    x^4 + 806/385*x^3*y + 162409/148225*x^2*y^2 - 1603909/315695*x^3*z - 
        756001373/121542575*x^2*y*z - 430334/148225*x*y^2*z + 
        3764439392241/398653332100*x^2*z^2 + 518928658/121542575*x*y*z^2 + 
        365971/148225*y^2*z^2 - 756950417369/99663333025*x*z^3 + 
        57762611/243085150*y*z^3 + 222728307481/99663333025*z^4,
    x^4 - 16/187*x^3*y + 64/34969*x^2*y^2 - 3190031/1078072*x^3*z - 
        574606514/176399531*x^2*y*z + 571432/244783*x*y^2*z + 
        17258592602337/4648956948736*x^2*z^2 + 10923410755/2822392496*x*y*z^2 - 
        801425/979132*y^2*z^2 - 327447112057/145279904648*x*z^3 - 
        25295171/32072642*y*z^3 + 10536406609/18159988081*z^4,
    x^4 - 268/387*x^3*y + 17956/149769*x^2*y^2 - 27570395/25352628*x^3*z - 
        5970050629/2452866759*x^2*y*z + 610613/149769*x*y^2*z - 
        924715070289863/2571022986025536*x^2*z^2 - 
        132316619135/39245868144*x*y*z^2 + 4658377/2396304*y^2*z^2 + 
        229028291369615/642755746506384*x*z^3 - 18970167761/19622934072*y*z^3 + 
        69006863719369/642755746506384*z^4,
    x^4 - 268/17*x^3*y + 17956/289*x^2*y^2 - 4207178/2535159*x^3*z + 
        548810441/43097703*x^2*y*z - 23891/867*x*y^2*z + 
        5906258396989/6427031155281*x^2*z^2 - 525245212/129293109*x*y*z^2 + 
        8974/2601*y^2*z^2 - 1229026080428/6427031155281*x*z^3 + 
        55135261/129293109*y*z^3 + 85337599876/6427031155281*z^4,
    x^4 + 46*x^3*y + 529*x^2*y^2 - 8947/5663*x^3*z - 466232/5663*x^2*y*z - 
        4509/7*x*y^2*z + 113687029/128278276*x^2*z^2 + 3883275/79282*x*y*z^2 + 
        38313/196*y^2*z^2 - 13286295/64139138*x*z^3 - 767799/79282*y*z^3 + 
        2205225/128278276*z^4,
    x^4 - 202/13*x^3*y + 10201/169*x^2*y^2 + 6614/363*x^3*z + 
        3866008/23595*x^2*y*z - 5242/169*x*y^2*z + 51499913/658845*x^2*z^2 - 
        1915046/23595*x*y*z^2 + 673/169*y^2*z^2 - 28982548/658845*x*z^3 + 
        242932/23595*y*z^3 + 19201924/3294225*z^4,
    x^4 - 28247/4312*x^3*y + 797893009/74373376*x^2*y^2 - 
        773618672/218076117*x^3*z + 17675393389583/940344216504*x^2*y*z - 
        863792583/37186688*x*y^2*z + 220026525110903422/47557192805797689*x^2*z\
        ^2 - 5392790618099/313448072168*x*y*z^2 + 888876321/74373376*y^2*z^2 - 
        41626651474417136/15852397601932563*x*z^3 + 
        437787256639/85485837864*y*z^3 + 2895269978290369/5284132533977521*z^4,
    x^4 - 3235/1813*x^3*y + 10465225/13147876*x^2*y^2 - 55757367/41225030*x^3*z 
        + 55296346725/29896391756*x^2*y*z - 1879905/3286969*x*y^2*z + 
        771235138634689/6798012394003600*x^2*z^2 - 
        43480347131/149481958780*x*y*z^2 + 4496909/13147876*y^2*z^2 + 
        15808495963941/67980123940036*x*z^3 - 5231942421/14948195878*y*z^3 + 
        2009632288225/67980123940036*z^4,
    x^4 - 94/27*x^3*y + 2209/729*x^2*y^2 - 20062/10525*x^3*z + 
        392296/31575*x^2*y*z - 6530/729*x*y^2*z + 127354461/110775625*x^2*z^2 - 
        219082/18945*x*y*z^2 + 18437/3645*y^2*z^2 - 5095748/22155125*x*z^3 + 
        4464596/1420875*y*z^3 + 64516/4431025*z^4,
    x^4 + 349/106*x^3*y + 121801/44944*x^2*y^2 - 9129305/3366348*x^3*z - 
        13988532731/713665776*x^2*y*z + 20857/11236*x*y^2*z + 
        125237602719505/45329195428416*x^2*z^2 + 1193157368/44604111*x*y*z^2 - 
        37571/11236*y^2*z^2 - 14201501211475/11332298857104*x*z^3 - 
        1885807325/178416444*y*z^3 + 2419875804025/11332298857104*z^4,
    x^4 - 29/3*x^3*y + 841/36*x^2*y^2 + 520001/138190*x^3*z - 
        1675191/276380*x^2*y*z + 4127/180*x*y^2*z + 
        392268313581/76385904400*x^2*z^2 + 5820751/690950*x*y*z^2 + 
        30649/3600*y^2*z^2 + 229289760941/76385904400*x*z^3 + 
        68908067/16582800*y*z^3 + 194428965481/305543617600*z^4,
    x^4 - 39/4*x^3*y + 1521/64*x^2*y^2 + 1607/510*x^3*z - 58657/1360*x^2*y*z + 
        4089/32*x*y^2*z - 1223783/1040400*x^2*z^2 - 402361/10200*x*y*z^2 + 
        293977/1600*y^2*z^2 - 14991703/2601000*x*z^3 + 491977/20400*y*z^3 + 
        87030241/26010000*z^4,
    x^4 - 666/133*x^3*y + 110889/17689*x^2*y^2 - 6286688/1575765*x^3*z + 
        37632188/3326615*x^2*y*z - 220428/17689*x*y^2*z + 
        14647993963936/2483035335225*x^2*z^2 - 1295032748/209576745*x*y*z^2 + 
        649844/88445*y^2*z^2 - 211333303808/55178563005*x*z^3 - 
        814272/116431525*y*z^3 + 1130035456/1226190289*z^4,
    x^4 - 143/3924*x^3*y + 20449/61591104*x^2*y^2 - 553507348/11142307*x^3*z - 
        73832197699/3974764788*x^2*y*z - 31970521/30795552*x*y^2*z + 
        78803045242409742/124151005282249*x^2*z^2 + 
        4951383931657/43722412668*x*y*z^2 + 301546513/61591104*y^2*z^2 - 
        4991213211568292/11286455025659*x*z^3 - 11747839465/441640532*y*z^3 + 
        81314025770041/1026041365969*z^4,
    x^4 - 3922/11*x^3*y + 3845521/121*x^2*y^2 + 267724/38753*x^3*z - 
        319559717/426283*x^2*y*z + 9058626/121*x*y^2*z + 
        26058831423/1501795009*x^2*z^2 - 118166214/426283*x*y*z^2 + 
        5335089/121*y^2*z^2 + 28116776066/1501795009*x*z^3 + 4295083/32791*y*z^3
        + 44118061849/6007180036*z^4,
    x^4 + 250/127*x^3*y + 15625/16129*x^2*y^2 - 417160/65151*x^3*z - 
        57120428/2758059*x^2*y*z - 647860/48387*x*y^2*z + 
        298114266014/21223264005*x^2*z^2 + 3902623102/124112655*x*y*z^2 + 
        2497531/145161*y^2*z^2 - 51599104424/4244652801*x*z^3 - 
        252394700/24822531*y*z^3 + 382489060849/106116320025*z^4,
    x^4 + 9386/2175*x^3*y + 22024249/4730625*x^2*y^2 - 84816627/7086295*x^3*z + 
        104750773636/15412691625*x^2*y*z - 61583879/4730625*x*y^2*z + 
        9127497844104109/200862307308100*x^2*z^2 - 
        1351792424917/30825383250*x*y*z^2 + 177031609/18922500*y^2*z^2 - 
        5785979185355397/100431153654050*x*z^3 + 971242083373/30825383250*y*z^3 
        + 4653628807035121/200862307308100*z^4,
    x^4 + 109/69*x^3*y + 11881/19044*x^2*y^2 - 33761712/5929469*x^3*z - 
        2731886377/409133361*x^2*y*z - 5965/3174*x*y^2*z + 
        308372593867038/35158602621961*x^2*z^2 + 1485088373/136377787*x*y*z^2 + 
        188365/27508*y^2*z^2 - 9520701498864/5022657517423*x*z^3 - 
        315929457/1772911231*y*z^3 + 79522308009/717522502489*z^4,
    x^4 - 414/455*x^3*y + 42849/207025*x^2*y^2 - 115459559/42281715*x^3*z + 
        168451432154/6412726775*x^2*y*z - 1080309/41405*x*y^2*z + 
        18936764988274081/7150973693364900*x^2*z^2 - 
        335758999309/7695272130*x*y*z^2 + 816169/33124*y^2*z^2 - 
        127566879275858/119182894889415*x*z^3 + 4759837256/256509071*y*z^3 + 
        1220720039044/7945526325961*z^4,
    x^4 + 13246/12837*x^3*y + 43864129/164788569*x^2*y^2 - 
        38250502464/10823645309*x^3*z - 1808045029802698/231571891386055*x^2*y*\
        z - 3459580538/823942845*x*y^2*z + 535362273576409052374/11715129777503\
        7705481*x^2*z^2 + 2180324670583658/231571891386055*x*y*z^2 + 
        3350380949/823942845*y^2*z^2 - 299658260396959838400/117151297775037705\
        481*x*z^3 - 1755095899985366/694715674158165*y*z^3 + 
        61373122418295000625/117151297775037705481*z^4,
    x^4 - 689/82*x^3*y + 474721/26896*x^2*y^2 - 960662/139031*x^3*z - 
        24499299/11400542*x^2*y*z - 45101/1681*x*y^2*z + 
        315333248409/19329618961*x^2*z^2 + 109603357/5700271*x*y*z^2 + 
        17074/1681*y^2*z^2 - 292333289248/19329618961*x*z^3 - 
        54629834/5700271*y*z^3 + 92600924416/19329618961*z^4,
    x^4 - 1194/245*x^3*y + 356409/60025*x^2*y^2 - 1765310/390159*x^3*z + 
        621450092/31862985*x^2*y*z - 1215066/60025*x*y^2*z + 
        1107159870217/152224045281*x^2*z^2 - 2148972662/95588955*x*y*z^2 + 
        839521/60025*y^2*z^2 - 27489407320/5637927603*x*z^3 + 
        258469096/31862985*y*z^3 + 2182384656/1879309201*z^4,
    x^4 - 214/63*x^3*y + 11449/3969*x^2*y^2 + 51806/299271*x^3*z - 
        508160816/18854073*x^2*y*z + 111170/3969*x*y^2*z - 
        53694604451/89563131441*x^2*z^2 - 557089090/18854073*x*y*z^2 + 
        66025/3969*y^2*z^2 - 4705538980/89563131441*x*z^3 - 
        165142100/18854073*y*z^3 + 8250088900/89563131441*z^4,
    x^4 - 8628/1441*x^3*y + 18610596/2076481*x^2*y^2 - 70305309/37255483*x^3*z +
        377396851572/53685151003*x^2*y*z - 9609156/2076481*x*y^2*z + 
        5965259258581097/5551884054253156*x^2*z^2 - 
        117163888263/53685151003*x*y*z^2 + 6712729/2076481*y^2*z^2 - 
        241178425427196/1387971013563289*x*z^3 + 3059019284/53685151003*y*z^3 + 
        11767946037136/1387971013563289*z^4,
    x^4 + 1883/755*x^3*y + 3545689/2280100*x^2*y^2 + 11598644/24246523*x^3*z - 
        261504257/74718877*x^2*y*z - 12003467/3420150*x*y^2*z - 
        455858852851386/587893877589529*x^2*z^2 + 
        180104792249/54918374595*x*y*z^2 + 31044001/20520900*y^2*z^2 - 
        117077234474980/587893877589529*x*z^3 - 62707357781/54918374595*y*z^3 + 
        101889744462025/587893877589529*z^4,
    x^4 - 1010/77*x^3*y + 255025/5929*x^2*y^2 - 1132331/618044*x^3*z - 
        8498413669/47589388*x^2*y*z + 1539238/5929*x*y^2*z - 
        23686425863511/1527913543744*x^2*z^2 - 7848347697/11897347*x*y*z^2 + 
        2224777/5929*y^2*z^2 + 11436369853357/763956771872*x*z^3 - 
        35018959333/47589388*y*z^3 + 102006909423409/1527913543744*z^4,
    x^4 + 500/39*x^3*y + 62500/1521*x^2*y^2 - 343705/372723*x^3*z - 
        6105932/765063*x^2*y*z - 47636/1521*x*y^2*z - 
        32460383003/555689738916*x^2*z^2 + 6223705/14536197*x*y*z^2 + 
        15313/1521*y^2*z^2 + 34717298345/277844869458*x*z^3 - 
        4775753/14536197*y*z^3 + 10202818081/555689738916*z^4,
    x^4 + 69/235*x^3*y + 4761/220900*x^2*y^2 - 4882445/382157*x^3*z - 
        2116804063/269420685*x^2*y*z - 648139/662700*x*y^2*z + 
        28028721572473/584175890596*x^2*z^2 + 28653139723/1077682740*x*y*z^2 + 
        7022987/2650800*y^2*z^2 - 6692162298810/146043972649*x*z^3 - 
        4031895226/269420685*y*z^3 + 1878703352964/146043972649*z^4,
    x^4 - 1558/187*x^3*y + 606841/34969*x^2*y^2 - 3721506/1267741*x^3*z + 
        7784559936/237067567*x^2*y*z - 2485926/34969*x*y^2*z - 
        7889301083507/1607167243081*x^2*z^2 - 3226091246/237067567*x*y*z^2 + 
        1942769/34969*y^2*z^2 + 16661695929828/1607167243081*x*z^3 - 
        6933077388/237067567*y*z^3 + 20044764671044/1607167243081*z^4,
    x^4 + 364/113*x^3*y + 33124/12769*x^2*y^2 + 704236/172099*x^3*z + 
        2066676857/116683122*x^2*y*z + 547925/76614*x*y^2*z + 
        704655670/29618065801*x^2*z^2 + 1663410385/58341561*x*y*z^2 + 
        403885/76614*y^2*z^2 - 252238320828/29618065801*x*z^3 + 
        855668801/116683122*y*z^3 + 128287897929/29618065801*z^4,
    x^4 - 663/308*x^3*y + 439569/379456*x^2*y^2 + 9569/15978*x^3*z + 
        2746841/3280816*x^2*y*z - 304683/189728*x*y^2*z - 
        2155004951/1021185936*x^2*z^2 + 32142713/4921224*x*y*z^2 - 
        1190999/379456*y^2*z^2 - 112119973/170197656*x*z^3 + 
        10953497/3280816*y*z^3 + 137288089/113465104*z^4,
    x^4 - 1488/749*x^3*y + 553536/561001*x^2*y^2 + 3195449/304843*x^3*z + 
        978578008/684982221*x^2*y*z - 8930528/1683003*x*y^2*z + 
        12526604896173/371717018596*x^2*z^2 - 10372995719/684982221*x*y*z^2 + 
        12578219/1683003*y^2*z^2 + 6068480391349/185858509298*x*z^3 - 
        317034737/18513033*y*z^3 + 3606584608201/371717018596*z^4,
    x^4 + 128/41*x^3*y + 4096/1681*x^2*y^2 - 350418/180031*x^3*z - 
        91661693/7381271*x^2*y*z - 26611/1681*x*y^2*z + 
        3398860619/64822321922*x^2*z^2 + 67500718/7381271*x*y*z^2 + 
        54263/3362*y^2*z^2 + 56444104977/64822321922*x*z^3 + 
        54241913/29525084*y*z^3 + 103782555409/518578575376*z^4,
    x^4 + 221/5*x^3*y + 48841/100*x^2*y^2 - 44019/11480*x^3*z + 
        599899/114800*x^2*y*z - 33869/100*x*y^2*z + 2522945721/527161600*x^2*z^2
        - 2320511/114800*x*y*z^2 + 23521/400*y^2*z^2 - 
        1122088329/527161600*x*z^3 + 2086059/459200*y*z^3 + 
        649791081/2108646400*z^4,
    x^4 - 4/15*x^3*y + 4/225*x^2*y^2 + 14234/8805*x^3*z - 783332/132075*x^2*y*z 
        + 352/75*x*y^2*z + 7489579/77528025*x^2*z^2 - 499286/44025*x*y*z^2 + 
        601/100*y^2*z^2 - 11629178/25842675*x*z^3 - 83897/14675*y*z^3 + 
        667489/8614225*z^4,
    x^4 + 8*x^3*y + 16*x^2*y^2 + 36/157*x^3*z + 856/157*x^2*y*z + 14*x*y^2*z - 
        20714/24649*x^2*z^2 - 344/157*x*y*z^2 + 7*y^2*z^2 - 2412/24649*x*z^3 - 
        376/157*y*z^3 + 4489/24649*z^4,
    x^4 - 134/17*x^3*y + 4489/289*x^2*y^2 - 1188508/589407*x^3*z + 
        112380442/10019919*x^2*y*z - 23962/2023*x*y^2*z + 
        482768455654/347400611649*x^2*z^2 - 370125566/70139433*x*y*z^2 + 
        43009/14161*y^2*z^2 - 10053589172/26723123973*x*z^3 + 
        50520478/70139433*y*z^3 + 71554681/2055624921*z^4,
    x^4 - 316/15*x^3*y + 24964/225*x^2*y^2 - 3176661/928490*x^3*z + 
        1230656968/20891025*x^2*y*z - 17402/75*x*y^2*z + 
        14583867099841/3448374720400*x^2*z^2 - 4499600833/83564100*x*y*z^2 + 
        107849/900*y^2*z^2 - 3842733748497/1724187360200*x*z^3 + 
        1345857373/83564100*y*z^3 + 1463318444329/3448374720400*z^4,
    x^4 + 1450/247*x^3*y + 525625/61009*x^2*y^2 - 1033112/290833*x^3*z - 
        2184170879/71835751*x^2*y*z - 2973467/61009*x*y^2*z + 
        135932405621/169167667778*x^2*z^2 + 6571472771/143671502*x*y*z^2 + 
        17047681/244036*y^2*z^2 + 353207304066/84583833889*x*z^3 - 
        4094887605/287343004*y*z^3 + 1870184797209/1353341342224*z^4,
    x^4 - 704/137*x^3*y + 123904/18769*x^2*y^2 + 2564443/5732628*x^3*z + 
        52765270928/2552452617*x^2*y*z - 3918400/243997*x*y^2*z - 
        26844027841319/131452095145536*x^2*z^2 + 121612971001/5104905234*x*y*z^2
        - 2045324/243997*y^2*z^2 - 467197919069/8215755946596*x*z^3 + 
        15543833948/2552452617*y*z^3 + 33190645489/2053938986649*z^4,
    x^4 + 166/43*x^3*y + 6889/1849*x^2*y^2 - 2407126/452747*x^3*z - 
        225105216/19468121*x^2*y*z - 6502/1849*x*y^2*z + 
        1939254715545/204979846009*x^2*z^2 + 249344402/19468121*x*y*z^2 + 
        5689/1849*y^2*z^2 - 1304431207904/204979846009*x*z^3 - 
        70913504/19468121*y*z^3 + 293659945216/204979846009*z^4,
    x^4 + 262/135*x^3*y + 17161/18225*x^2*y^2 - 11711519/1689165*x^3*z - 
        3384401036/228037275*x^2*y*z - 268757/36450*x*y^2*z + 
        190392948759781/11413113588900*x^2*z^2 + 25223323649/912149100*x*y*z^2 +
        2707609/291600*y^2*z^2 - 92270806919603/5706556794450*x*z^3 - 
        12894016241/912149100*y*z^3 + 62072920977769/11413113588900*z^4,
    x^4 + 302*x^3*y + 22801*x^2*y^2 + 1356660/204781*x^3*z - 
        2220144545/1433467*x^2*y*z - 113623/7*x*y^2*z + 
        701387306351/83870515922*x^2*z^2 + 2831076053/2866934*x*y*z^2 + 
        80887/28*y^2*z^2 - 362509387785/41935257961*x*z^3 - 
        968362237/5733868*y*z^3 + 1142395431241/670964127376*z^4,
    x^4 + 74/63*x^3*y + 1369/3969*x^2*y^2 - 54137/6561*x^3*z - 
        5592112/413343*x^2*y*z - 62813/11907*x*y^2*z + 
        3987336973/172186884*x^2*z^2 + 9784453/354294*x*y*z^2 + 
        1041601/142884*y^2*z^2 - 6538287901/258280326*x*z^3 - 
        111384653/7440174*y*z^3 + 14586117529/1549681956*z^4,
    x^4 + 122/195*x^3*y + 3721/38025*x^2*y^2 + 105266/11635*x^3*z - 
        14828452/756275*x^2*y*z + 306038/38025*x*y^2*z + 
        3371343329/135373225*x^2*z^2 - 34783046/756275*x*y*z^2 + 
        489841/38025*y^2*z^2 + 2719231312/135373225*x*z^3 - 
        44472976/2268825*y*z^3 + 667292224/135373225*z^4,
    x^4 - 482/117*x^3*y + 58081/13689*x^2*y^2 - 3712322/219987*x^3*z + 
        1667838226/25738479*x^2*y*z - 865264/13689*x*y^2*z + 
        3924764526241/48394280169*x^2*z^2 - 6902281696/25738479*x*y*z^2 + 
        3296224/13689*y^2*z^2 - 4045243036960/48394280169*x*z^3 + 
        2312524432/25738479*y*z^3 + 1187402502400/48394280169*z^4,
    x^4 - 23669/2992*x^3*y + 560221561/35808256*x^2*y^2 - 
        887518719/223803164*x^3*z + 3250578289329/103018317952*x^2*y*z - 
        928258263/17904128*x*y^2*z + 797225418754649329/200351424865643584*x^2*\
        z^2 - 24167808568751/669619066688*x*y*z^2 + 1481957849/35808256*y^2*z^2 
        - 9453985185152007/100175712432821792*x*z^3 + 
        12275955965709/1339238133376*y*z^3 + 
        113468363535409/200351424865643584*z^4,
    x^4 + 659/996*x^3*y + 434281/3968064*x^2*y^2 + 71102343/2162482*x^3*z - 
        39097698971/1435888048*x^2*y*z + 30432025/13888224*x*y^2*z + 
        5377042432454233/18705313601296*x^2*z^2 - 
        408125655669/5025608168*x*y*z^2 + 965710537/194435136*y^2*z^2 + 
        2642721432579579/9352656800648*x*z^3 - 686971180607/30153649008*y*z^3 + 
        1381449296629609/18705313601296*z^4,
    x^4 - 4629/4927*x^3*y + 21427641/97101316*x^2*y^2 + 1183208/1134347*x^3*z - 
        3923041206/5588927669*x^2*y*z + 5349663/24275329*x*y^2*z - 
        2372637152256/1286743116409*x^2*z^2 - 97659910/136315309*x*y*z^2 + 
        28385809/24275329*y^2*z^2 - 1419953722304/1286743116409*x*z^3 - 
        6964201472/5588927669*y*z^3 + 1440211207744/1286743116409*z^4,
    x^4 - 541/78*x^3*y + 292681/24336*x^2*y^2 - 7529378/2429661*x^3*z + 
        1569759037/94756779*x^2*y*z - 251963/12168*x*y^2*z + 
        20381561236969/5903252574921*x^2*z^2 - 2358651293/189513558*x*y*z^2 + 
        202609/24336*y^2*z^2 - 9620165800552/5903252574921*x*z^3 + 
        285585994/94756779*y*z^3 + 1632476403856/5903252574921*z^4,
    x^4 - 1453/784*x^3*y + 2111209/2458624*x^2*y^2 - 21986984/1175321*x^3*z + 
        13224550819/921451664*x^2*y*z + 3427733/1229312*x*y^2*z + 
        137530691707158/1381379453041*x^2*z^2 + 27410447061/921451664*x*y*z^2 - 
        31727279/2458624*y^2*z^2 - 155960427516088/1381379453041*x*z^3 - 
        112277296403/921451664*y*z^3 + 50315004196249/1381379453041*z^4,
    x^4 + 17/2*x^3*y + 289/16*x^2*y^2 - 98/967*x^3*z - 63623/1934*x^2*y*z - 
        483/16*x*y^2*z - 1018751/935089*x^2*z^2 + 138975/3868*x*y*z^2 + 
        801/64*y^2*z^2 + 51744/935089*x*z^3 - 46557/3868*y*z^3 + 
        278784/935089*z^4,
    x^4 - 55756/28405*x^3*y + 777182884/806844025*x^2*y^2 - 
        1693135529/1817683583*x^3*z + 333249981309532/51631302175115*x^2*y*z - 
        4637023268/806844025*x*y^2*z - 3731029916508057003/13215894431630871556\
        *x^2*z^2 - 69446494357527/10326260435023*x*y*z^2 + 
        4081336009/806844025*y^2*z^2 + 1536414869693794393/6607947215815435778*\
        x*z^3 + 104634515082451/51631302175115*y*z^3 + 
        823443028746638689/13215894431630871556*z^4,
    x^4 + 23/34*x^3*y + 529/4624*x^2*y^2 + 1263620/50099*x^3*z + 
        88665543/8516830*x^2*y*z + 10919/11560*x*y^2*z + 
        390463744358/2509909801*x^2*z^2 + 614222991/8516830*x*y*z^2 + 
        191533/23120*y^2*z^2 - 109971584980/2509909801*x*z^3 - 
        107829567/8516830*y*z^3 + 7574046841/2509909801*z^4,
    x^4 - 119/12*x^3*y + 14161/576*x^2*y^2 - 23596/10773*x^3*z + 
        1697378/32319*x^2*y*z - 9445/144*x*y^2*z + 150396724/116057529*x^2*z^2 -
        355625/4617*x*y*z^2 + 6025/144*y^2*z^2 - 12269920/116057529*x*z^3 + 
        1113500/32319*y*z^3 + 270400/116057529*z^4,
    x^4 - 19232/1855*x^3*y + 92467456/3441025*x^2*y^2 - 
        1492718259/415212176*x^3*z + 286337876859/9627732331*x^2*y*z - 
        199416384/3441025*x*y^2*z + 3203714428695818281/689604604394619904*x^2*\
        z^2 - 42080522453887/1540437172960*x*y*z^2 + 407858201/13764100*y^2*z^2 
        - 219188622028040925/86200575549327488*x*z^3 + 
        3154120304319/385109293240*y*z^3 + 21561567108030625/43100287774663744*\
        z^4,
    x^4 - 152/145*x^3*y + 5776/21025*x^2*y^2 + 3766609/4122785*x^3*z - 
        1433918007/1195607650*x^2*y*z + 29397/42050*x*y^2*z - 
        127267355945639/67989424624900*x^2*z^2 - 1256009547/1195607650*x*y*z^2 +
        112221/84100*y^2*z^2 - 16154266578681/16997356156225*x*z^3 - 
        1040062779/597803825*y*z^3 + 18393882638481/16997356156225*z^4,
    x^4 - 1231/533*x^3*y + 1515361/1136356*x^2*y^2 - 161548/6251065*x^3*z + 
        9468320482/3331817645*x^2*y*z - 1774013/568178*x*y^2*z - 
        94006380130554/39075813634225*x^2*z^2 + 6576268225/666363529*x*y*z^2 - 
        6126251/1136356*y^2*z^2 + 1214800734548/39075813634225*x*z^3 + 
        13541420428/3331817645*y*z^3 + 56546655102001/39075813634225*z^4,
    x^4 - 3344/1677*x^3*y + 2795584/2812329*x^2*y^2 - 500595/376852*x^3*z + 
        207707586/52665067*x^2*y*z - 7194112/2812329*x*y^2*z + 
        36266054953/568069719616*x^2*z^2 - 258538933/105330134*x*y*z^2 + 
        4927300/2812329*y^2*z^2 + 1271010705/5072051068*x*z^3 + 
        57975928/157995201*y*z^3 + 6446521/181144681*z^4,
    x^4 - 8109/2561*x^3*y + 65755881/26234884*x^2*y^2 - 
        1342153828/1074539061*x^3*z - 3589392684925/917298178407*x^2*y*z + 
        60309671/13117442*x*y^2*z - 842393031289252778/1154634193614761721*x^2*\
        z^2 - 36355457101841/8255683605663*x*y*z^2 + 432548113/236113956*y^2*z^2
        + 807347224234974476/1154634193614761721*x*z^3 - 
        12807539101127/8255683605663*y*z^3 + 
        361839624566158489/1154634193614761721*z^4,
    x^4 + 131/65*x^3*y + 17161/16900*x^2*y^2 - 164725/63518*x^3*z + 
        4380227/2064335*x^2*y*z - 48817/33800*x*y^2*z + 
        57397730797/16138145296*x^2*z^2 - 58575035/6605872*x*y*z^2 + 
        637849/270400*y^2*z^2 - 39241942575/16138145296*x*z^3 + 
        143222343/66058720*y*z^3 + 56752103529/64552581184*z^4,
    x^4 + 202/1771*x^3*y + 10201/3136441*x^2*y^2 - 594928/171419*x^3*z - 
        734798896/303583049*x^2*y*z - 810092/3136441*x*y^2*z - 
        50146513736/29384473561*x^2*z^2 + 4446844784/303583049*x*y*z^2 + 
        5220868/3136441*y^2*z^2 + 240567465792/29384473561*x*z^3 - 
        382986672/43369007*y*z^3 + 163510244496/29384473561*z^4,
    x^4 + 5954/2343*x^3*y + 8862529/5489649*x^2*y^2 - 107082034/25837397*x^3*z -
        80176044140/60537021171*x^2*y*z + 2557886/609961*x*y^2*z + 
        585425095290361/667571083735609*x^2*z^2 + 
        72635309070/20179007057*x*y*z^2 + 6220809/609961*y^2*z^2 + 
        4727201925134808/667571083735609*x*z^3 - 13547277432/20179007057*y*z^3 +
        1948835058854544/667571083735609*z^4,
    x^4 - 253/134*x^3*y + 64009/71824*x^2*y^2 - 4626436/1896837*x^3*z + 
        734043505/84725386*x^2*y*z - 747119/107736*x*y^2*z - 
        118641757594/3597990604569*x^2*z^2 - 4019602067/254176158*x*y*z^2 + 
        6419929/646416*y^2*z^2 + 20010820785956/10793971813707*x*z^3 + 
        26984724793/2287585422*y*z^3 + 18708401753041/32381915441121*z^4,
    x^4 + 314/65*x^3*y + 24649/4225*x^2*y^2 - 3751693/3919890*x^3*z - 
        4331452237/127396425*x^2*y*z - 48767/25350*x*y^2*z - 
        27192899807831/61462150448400*x^2*z^2 + 147598654799/3057514200*x*y*z^2 
        - 1565639/608400*y^2*z^2 + 1234291990228/3841384403025*x*z^3 - 
        2475912632/127396425*y*z^3 + 432953472064/3841384403025*z^4,
    x^4 + 698/119*x^3*y + 121801/14161*x^2*y^2 + 650102/35003*x^3*z + 
        1394037124/20826785*x^2*y*z + 799338/14161*x*y^2*z + 
        669426219293/6126050045*x^2*z^2 + 5972992566/20826785*x*y*z^2 + 
        1755441/14161*y^2*z^2 + 1310636836896/6126050045*x*z^3 + 
        7008731784/20826785*y*z^3 + 4064449538304/30630250225*z^4,
    x^4 + 82*x^3*y + 1681*x^2*y^2 - 4480/1563*x^3*z - 334955/1563*x^2*y*z - 
        2873*x*y^2*z + 14932079/4885938*x^2*z^2 + 581935/3126*x*y*z^2 + 
        4909/4*y^2*z^2 - 3508960/2442969*x*z^3 - 336131/6252*y*z^3 + 
        9815689/39087504*z^4,
    x^4 + 124/55*x^3*y + 3844/3025*x^2*y^2 + 128845/44946*x^3*z - 
        90449342/8652105*x^2*y*z - 59786/21175*x*y^2*z - 
        7014852863/8080571664*x^2*z^2 + 439532873/34608420*x*y*z^2 + 
        109687/84700*y^2*z^2 - 16924692665/4040285832*x*z^3 - 
        154393661/34608420*y*z^3 + 17254661449/8080571664*z^4,
    x^4 + 1093/2684*x^3*y + 1194649/28815424*x^2*y^2 - 1109229/7829167*x^3*z - 
        8329067028/5253371057*x^2*y*z - 54948285/28815424*x*y^2*z - 
        366953256784619/245183423655556*x^2*z^2 + 
        35747950055/84053936912*x*y*z^2 + 438055025/115261696*y^2*z^2 + 
        13040977961055/122591711827778*x*z^3 + 3024355725/7641266992*y*z^3 + 
        138222228672025/245183423655556*z^4,
    x^4 - 546/295*x^3*y + 74529/87025*x^2*y^2 - 2851/7080*x^3*z - 
        153527/348100*x^2*y*z + 83103/87025*x*y^2*z - 
        323470679/200505600*x^2*z^2 - 2413733/4177200*x*y*z^2 + 
        125401/348100*y^2*z^2 + 3709151/11139200*x*z^3 - 1542781/1392400*y*z^3 +
        15233409/22278400*z^4,
    x^4 - 18/29*x^3*y + 81/841*x^2*y^2 + 864842/86913*x^3*z - 
        5082644/840159*x^2*y*z + 802/841*x*y^2*z + 
        168153526489/7553869569*x^2*z^2 - 223875934/7561431*x*y*z^2 + 
        61225/7569*y^2*z^2 - 93707360384/7553869569*x*z^3 + 
        6158080/7561431*y*z^3 + 11740155904/7553869569*z^4,
    x^4 - 2358/1015*x^3*y + 1390041/1030225*x^2*y^2 + 16972592/11531705*x^3*z + 
        43853279278/11704680575*x^2*y*z - 5140778/1030225*x*y^2*z + 
        43907789389126/132980220207025*x^2*z^2 + 
        132726094586/11704680575*x*y*z^2 - 3932319/1030225*y^2*z^2 - 
        20686008431088/132980220207025*x*z^3 + 65315388918/11704680575*y*z^3 + 
        1485446626521/132980220207025*z^4,
    x^4 - 811/220*x^3*y + 657721/193600*x^2*y^2 - 738480/229889*x^3*z + 
        1983018229/151726740*x^2*y*z - 2720917/290400*x*y^2*z + 
        177235890478/52848952321*x^2*z^2 - 2434072291/151726740*x*y*z^2 + 
        3797803/580800*y^2*z^2 - 65688534480/52848952321*x*z^3 + 
        1049039143/151726740*y*z^3 + 7912280401/52848952321*z^4,
    x^4 - 1052/169*x^3*y + 276676/28561*x^2*y^2 - 12093/5902*x^3*z + 
        17302561/1994876*x^2*y*z - 235733/28561*x*y^2*z + 
        776166739/557337664*x^2*z^2 - 8390521/1994876*x*y*z^2 + 
        920201/456976*y^2*z^2 - 783541749/2229350656*x*z^3 + 
        78418837/127672064*y*z^3 + 4198132849/142678441984*z^4,
    x^4 + 55114/8281*x^3*y + 759388249/68574961*x^2*y^2 - 
        394072552/115422697*x^3*z - 4736045835426/955815353857*x^2*y*z - 
        1195326266/68574961*x*y^2*z + 58621038041699262/13322398982753809*x^2*z\
        ^2 - 3350011327646/955815353857*x*y*z^2 + 481089361/68574961*y^2*z^2 - 
        33796418284747288/13322398982753809*x*z^3 + 
        2425067388862/955815353857*y*z^3 + 7355106750562561/13322398982753809*z\
        ^4,
    x^4 + 16/3*x^3*y + 64/9*x^2*y^2 + 76/41*x^3*z + 1716/41*x^2*y*z - 
        608/9*x*y^2*z + 2715/1681*x^2*z^2 + 1450/41*x*y*z^2 - 176/9*y^2*z^2 + 
        1178/1681*x*z^3 + 808/123*y*z^3 + 961/6724*z^4,
    x^4 - 38/33*x^3*y + 361/1089*x^2*y^2 + 23314/3615*x^3*z + 
        621748/119295*x^2*y*z - 5726/16335*x*y^2*z + 168941209/13068225*x^2*z^2 
        + 16754098/1789425*x*y*z^2 + 70489/245025*y^2*z^2 + 
        11843512/1452025*x*z^3 - 474904/596475*y*z^3 + 2322576/1452025*z^4,
    x^4 - 517/78*x^3*y + 267289/24336*x^2*y^2 + 28127/3096*x^3*z + 
        20291339/482976*x^2*y*z - 238657/36504*x*y^2*z + 
        677100385/38340864*x^2*z^2 - 16909691/724464*x*y*z^2 + 
        210601/219024*y^2*z^2 - 776952121/57511296*x*z^3 + 
        14656763/4346784*y*z^3 + 763030129/345067776*z^4,
    x^4 - 83/62*x^3*y + 6889/15376*x^2*y^2 - 471868401/217331080*x^3*z + 
        312228745441/26949053920*x^2*y*z - 1719083/153760*x*y^2*z + 
        265540935337740921/188931193335865600*x^2*z^2 - 
        4362953788313/269490539200*x*y*z^2 + 66774481/6150400*y^2*z^2 - 
        93103381680535539/377862386671731200*x*z^3 + 
        13037155418349/2155924313600*y*z^3 + 
        38930422792427721/3022899093373849600*z^4,
    x^4 + 8/7*x^3*y + 16/49*x^2*y^2 - 1734/301*x^3*z - 23801/2107*x^2*y*z - 
        255/49*x*y^2*z + 2134575/181202*x^2*z^2 + 37266/2107*x*y*z^2 + 
        585/98*y^2*z^2 - 1818099/181202*x*z^3 - 58671/8428*y*z^3 + 
        4397409/1449616*z^4,
    x^4 + 216/67*x^3*y + 11664/4489*x^2*y^2 - 2303153/856059*x^3*z - 
        201542362/19118651*x^2*y*z - 49989/4489*x*y^2*z - 
        32481498701/732837011481*x^2*z^2 + 2515612309/229423812*x*y*z^2 + 
        1251481/71824*y^2*z^2 + 4873630665557/1954232030616*x*z^3 - 
        742487239/305898416*y*z^3 + 4477748012761/5211285414976*z^4,
    x^4 - 3286/1533*x^3*y + 2699449/2350089*x^2*y^2 - 3970574/1062953*x^3*z + 
        23265811010/4888520847*x^2*y*z - 2066756/783363*x*y^2*z - 
        185397484899/1129869080209*x^2*z^2 - 2585539288/698360121*x*y*z^2 + 
        2864324/2350089*y^2*z^2 + 7707590896172/1129869080209*x*z^3 + 
        11701482104/4888520847*y*z^3 + 3768172027684/1129869080209*z^4,
    x^4 - 691/296*x^3*y + 477481/350464*x^2*y^2 - 20987213/27143755*x^3*z - 
        63108297099/16069102960*x^2*y*z + 2041153/438080*x*y^2*z - 
        2332500557034831/2947133742000100*x^2*z^2 - 
        90612771973/20086378700*x*y*z^2 + 5499289/2190400*y^2*z^2 + 
        53600523500693/147356687100005*x*z^3 - 1323280751/803455148*y*z^3 + 
        6522716789521/29471337420001*z^4,
    x^4 - 71/52*x^3*y + 5041/10816*x^2*y^2 - 63776/87841*x^3*z + 
        37010665/31974124*x^2*y*z - 14255/37856*x*y^2*z - 
        6696473666/7716041281*x^2*z^2 - 9643775/31974124*x*y*z^2 + 
        53575/75712*y^2*z^2 + 2800085280/7716041281*x*z^3 - 
        22472025/31974124*y*z^3 + 1927649025/7716041281*z^4,
    x^4 - 3288/2035*x^3*y + 2702736/4141225*x^2*y^2 - 35227/37*x^3*z + 
        32771148/75295*x^2*y*z - 4215312/4141225*x*y^2*z + 
        1243670353/5476*x^2*z^2 + 66418862/75295*x*y*z^2 + 
        6084676/4141225*y^2*z^2 - 324757713/1369*x*z^3 - 91140204/75295*y*z^3 + 
        84989961/1369*z^4,
    x^4 + 1177/1222*x^3*y + 1385329/5973136*x^2*y^2 + 245993/111343*x^3*z - 
        1486442435/272122292*x^2*y*z - 6805967/2986568*x*y^2*z - 
        455650877979/49589054596*x^2*z^2 + 1531644248/68030573*x*y*z^2 + 
        40343281/5973136*y^2*z^2 - 285093341357/24794527298*x*z^3 - 
        6690732719/272122292*y*z^3 + 1343162784601/49589054596*z^4,
    x^4 + 4598/11141*x^3*y + 5285401/124121881*x^2*y^2 - 
        5147515498/549972037*x^3*z - 23160491238492/6127238464217*x^2*y*z - 
        4403930/9547837*x*y^2*z + 5772340849879621305/302469241481929369*x^2*z^\
        2 + 10247971234310/471326035709*x*y*z^2 + 51710365/9547837*y^2*z^2 + 
        3986663780779145792/302469241481929369*x*z^3 - 
        11108341097536/6127238464217*y*z^3 + 
        599824078381474816/302469241481929369*z^4,
    x^4 - 199/14*x^3*y + 39601/784*x^2*y^2 - 2137631/687694*x^3*z + 
        420345007/9627716*x^2*y*z - 140325/1568*x*y^2*z + 
        6800276858761/1891692150544*x^2*z^2 - 3209068305/77021728*x*y*z^2 + 
        491625/12544*y^2*z^2 - 1733565300225/945846075272*x*z^3 + 
        975955725/77021728*y*z^3 + 657680450625/1891692150544*z^4,
    x^4 - 955/224*x^3*y + 912025/200704*x^2*y^2 - 1731265/94226*x^3*z - 
        492219587/42213248*x^2*y*z - 764697/50176*x*y^2*z + 
        3790592823697/35514156304*x^2*z^2 + 9589059/137056*x*y*z^2 + 
        633753/50176*y^2*z^2 - 1821998867385/8878539076*x*z^3 - 
        663202035/10553312*y*z^3 + 1107564703281/8878539076*z^4,
    x^4 - 538/275*x^3*y + 72361/75625*x^2*y^2 - 32318/22125*x^3*z + 
        18965458/6084375*x^2*y*z - 63924/75625*x*y^2*z + 
        499089781/489515625*x^2*z^2 - 1715272/6084375*x*y*z^2 + 
        40012/226875*y^2*z^2 - 173806204/489515625*x*z^3 - 
        3161464/18253125*y*z^3 + 28922884/489515625*z^4,
    x^4 + 1019/95*x^3*y + 1038361/36100*x^2*y^2 - 1856196/427367*x^3*z - 
        169189136/8119973*x^2*y*z - 449816/9025*x*y^2*z + 
        1279525702956/182642552689*x^2*z^2 + 458535584/40599865*x*y*z^2 + 
        196096/9025*y^2*z^2 - 908103056688/182642552689*x*z^3 - 
        45733632/40599865*y*z^3 + 239344035984/182642552689*z^4,
    x^4 + 94/429*x^3*y + 2209/184041*x^2*y^2 + 6632/11957*x^3*z + 
        49698394/15388659*x^2*y*z - 45686/184041*x*y^2*z - 
        43695462/142969849*x^2*z^2 - 1070050/15388659*x*y*z^2 + 
        2707/61347*y^2*z^2 - 15167384/142969849*x*z^3 - 1017266/15388659*y*z^3 +
        5230369/142969849*z^4,
    x^4 - 286/815*x^3*y + 20449/664225*x^2*y^2 + 15167678/16943687*x^3*z - 
        59412864428/13809104905*x^2*y*z + 2302394/664225*x*y^2*z - 
        117282425291903/287088529153969*x^2*z^2 - 
        92203893434/13809104905*x*y*z^2 + 2543641/664225*y^2*z^2 - 
        78237552635328/287088529153969*x*z^3 - 37933412064/13809104905*y*z^3 + 
        26606779646976/287088529153969*z^4,
    x^4 + 798/107*x^3*y + 159201/11449*x^2*y^2 - 410573422/75704319*x^3*z - 
        404821260028/13500603555*x^2*y*z - 2468698/57245*x*y^2*z + 
        61482601087861561/5731143915253761*x^2*z^2 + 
        4578992919206/121505431995*x*y*z^2 + 17563133/515205*y^2*z^2 - 
        5827112560545640/636793768361529*x*z^3 - 189806419768/13500603555*y*z^3 
        + 201430462464400/70754863151281*z^4,
    x^4 - 196/75*x^3*y + 9604/5625*x^2*y^2 - 62822/145725*x^3*z + 
        3177148/3643125*x^2*y*z - 1448/1875*x*y^2*z - 
        34075366979/21235775625*x^2*z^2 + 36285116/10929375*x*y*z^2 - 
        3668/1875*y^2*z^2 + 7557612244/21235775625*x*z^3 + 
        5607256/10929375*y*z^3 + 14472571204/21235775625*z^4,
    x^4 - 11/16*x^3*y + 121/1024*x^2*y^2 - 5467/5022*x^3*z - 
        1106521/160704*x^2*y*z + 663/128*x*y^2*z + 75769081/100881936*x^2*z^2 + 
        358723/60264*x*y*z^2 - 479/576*y^2*z^2 - 3121657/12610242*x*z^3 - 
        23435/30132*y*z^3 + 326041/6305121*z^4,
    x^4 - 2122/741*x^3*y + 1125721/549081*x^2*y^2 + 87986/41059*x^3*z - 
        79181680/10141573*x^2*y*z + 2395306/549081*x*y^2*z - 
        7563205011/1685841481*x^2*z^2 - 46350090/10141573*x*y*z^2 + 
        676321/549081*y^2*z^2 - 10177340620/1685841481*x*z^3 + 
        1760740/2340363*y*z^3 + 13379548900/1685841481*z^4,
    x^4 - 1732/1455*x^3*y + 749956/2117025*x^2*y^2 - 3522815/184106*x^3*z + 
        1442314862/133937115*x^2*y*z - 3559558/2117025*x*y^2*z + 
        12262523171817/135580076944*x^2*z^2 - 15162135317/535748460*x*y*z^2 + 
        7387969/8468100*y^2*z^2 + 706560436105/67790038472*x*z^3 + 
        1774602151/535748460*y*z^3 + 40227121489/135580076944*z^4,
    x^4 - 229/105*x^3*y + 52441/44100*x^2*y^2 - 4752/4151*x^3*z - 
        116033/435855*x^2*y*z + 36103/22050*x*y^2*z + 40372642/17230801*x^2*z^2 
        - 368633/87171*x*y*z^2 + 162649/44100*y^2*z^2 - 19877616/17230801*x*z^3 
        + 1370669/435855*y*z^3 + 17497489/17230801*z^4,
    x^4 - 1322/561*x^3*y + 436921/314721*x^2*y^2 + 127161/5321*x^3*z - 
        50133733/2985081*x^2*y*z - 165256/104907*x*y^2*z + 
        18551344113/113252164*x^2*z^2 + 37422448/995027*x*y*z^2 - 
        40376/34969*y^2*z^2 + 7113894984/28313041*x*z^3 + 38290266/995027*y*z^3 
        + 3129731136/28313041*z^4,
    x^4 - 71/25*x^3*y + 5041/2500*x^2*y^2 - 72204/19885*x^3*z + 
        6284258/497125*x^2*y*z - 5632/625*x*y^2*z + 1957491364/395413225*x^2*z^2
        - 8081584/497125*x*y*z^2 + 4864/625*y^2*z^2 - 1187611392/395413225*x*z^3
        + 3115648/497125*y*z^3 + 270536704/395413225*z^4,
    x^4 - 668/793*x^3*y + 111556/628849*x^2*y^2 - 953177/816180*x^3*z - 
        1427061034/161807685*x^2*y*z + 4775101/628849*x*y^2*z + 
        1973826161689/2664599169600*x^2*z^2 + 3799104409/517784592*x*y*z^2 - 
        15771071/10061584*y^2*z^2 - 622044263377/2664599169600*x*z^3 - 
        451227809/398295840*y*z^3 + 425888065201/10658396678400*z^4,
    x^4 - 862/521*x^3*y + 185761/271441*x^2*y^2 - 347646679/17429013*x^3*z + 
        10394016068/9080515773*x^2*y*z - 4674303/1900087*x*y^2*z + 
        137260262473162357/1215081976616676*x^2*z^2 + 
        452189511899/14125246758*x*y*z^2 + 156841889/53202436*y^2*z^2 - 
        3029281566222041/22501518085494*x*z^3 - 3554771666329/127127220822*y*z^3
        + 75928201715041/1666779117444*z^4,
    x^4 + 2908/161*x^3*y + 2114116/25921*x^2*y^2 + 723910/2605279*x^3*z + 
        7997065092/419449919*x^2*y*z + 3392552/25921*x*y^2*z - 
        10606875241027/6787478667841*x^2*z^2 - 4137486588/419449919*x*y*z^2 + 
        1610660/25921*y^2*z^2 - 1491829384540/6787478667841*x*z^3 - 
        5192207448/419449919*y*z^3 + 4246871910436/6787478667841*z^4,
    x^4 - 859/572*x^3*y + 737881/1308736*x^2*y^2 - 712573/258313*x^3*z + 
        1380526165/295510072*x^2*y*z - 323781/327184*x*y^2*z + 
        821581644273/266902423876*x^2*z^2 - 243866463/73877518*x*y*z^2 + 
        239937/327184*y^2*z^2 - 108212048353/66725605969*x*z^3 + 
        20897989/73877518*y*z^3 + 23061763321/66725605969*z^4,
    x^4 - 394/61*x^3*y + 38809/3721*x^2*y^2 + 22447858/999363*x^3*z + 
        161770904/1417701*x^2*y*z - 2062834/55815*x*y^2*z + 
        90210463736533/998726405769*x^2*z^2 - 283609397498/914417145*x*y*z^2 + 
        26442889/837225*y^2*z^2 - 401692252170964/998726405769*x*z^3 + 
        208532216428/914417145*y*z^3 + 320211627113764/998726405769*z^4,
    x^4 - 10/429*x^3*y + 25/184041*x^2*y^2 + 2766130/708411*x^3*z + 
        916689266/303908319*x^2*y*z - 476156/552123*x*y^2*z + 
        2265705644173/501846144921*x^2*z^2 + 1041546080/911724957*x*y*z^2 + 
        1155892/1656369*y^2*z^2 + 688860418420/501846144921*x*z^3 - 
        1574281928/911724957*y*z^3 + 62017933156/501846144921*z^4,
    x^4 + 394/97*x^3*y + 38809/9409*x^2*y^2 + 919930/375293*x^3*z + 
        294501948/36403421*x^2*y*z + 37906/9409*x*y^2*z - 
        546525559947/140844835849*x^2*z^2 + 143334834/36403421*x*y*z^2 + 
        154121/9409*y^2*z^2 - 929131139860/140844835849*x*z^3 - 
        840405356/36403421*y*z^3 + 1020104040004/140844835849*z^4,
    x^4 - 20/3*x^3*y + 100/9*x^2*y^2 + 376/59*x^3*z - 2560/59*x^2*y*z + 
        616/9*x*y^2*z + 57174/3481*x^2*z^2 - 6240/59*x*y*z^2 + 1156/9*y^2*z^2 + 
        69560/3481*x*z^3 - 14540/177*y*z^3 + 34225/3481*z^4,
    x^4 + 153/182*x^3*y + 23409/132496*x^2*y^2 - 26512/181389*x^3*z + 
        147463167/55021330*x^2*y*z - 369711/331240*x*y^2*z + 
        10822167502/32901969321*x^2*z^2 - 71116427/55021330*x*y*z^2 + 
        271421/662480*y^2*z^2 - 778047664/32901969321*x*z^3 - 
        2101861/165063990*y*z^3 + 861246409/32901969321*z^4,
    x^4 - 325/177*x^3*y + 105625/125316*x^2*y^2 - 5051882/172103*x^3*z + 
        1730347129/60924462*x^2*y*z - 180373/62658*x*y^2*z + 
        11971910927973/59238885218*x^2*z^2 - 3705173539/121848924*x*y*z^2 + 
        2482117/125316*y^2*z^2 + 11577809707783/59238885218*x*z^3 + 
        56367754727/243697848*y*z^3 + 21009049774969/473911081744*z^4,
    x^4 - 134/213*x^3*y + 4489/45369*x^2*y^2 - 64799292/87151435*x^3*z + 
        15101258246/6187751885*x^2*y*z + 1908862/1587915*x*y^2*z - 
        7207958492023274/7595372622559225*x^2*z^2 - 
        48162190858/216571315975*x*y*z^2 + 26919769/55577025*y^2*z^2 + 
        3069902551705644/7595372622559225*x*z^3 - 
        369039064018/649713947925*y*z^3 + 2244443401060249/7595372622559225*z^4\
        ,
    x^4 + 1/7*x^3*y + 1/196*x^2*y^2 + 14047/570*x^3*z - 45973/2660*x^2*y*z - 
        502/147*x*y^2*z + 62379083/433200*x^2*z^2 + 45650/1197*x*y*z^2 + 
        1124/441*y^2*z^2 - 47043403/487350*x*z^3 - 14636/855*y*z^3 + 
        11215801/731025*z^4,
    x^4 - 1472/47*x^3*y + 541696/2209*x^2*y^2 + 24841126/1827313*x^3*z + 
        38841543515/85883711*x^2*y*z - 1441143/2209*x*y^2*z + 
        87005254104993/3339072799969*x^2*z^2 - 85810403322/85883711*x*y*z^2 + 
        955581/2209*y^2*z^2 - 457212748405976/3339072799969*x*z^3 + 
        51825461288/85883711*y*z^3 + 338761546786576/3339072799969*z^4,
    x^4 + 142/27*x^3*y + 5041/729*x^2*y^2 - 401/743*x^3*z + 128795/6687*x^2*y*z 
        + 6952/729*x*y^2*z - 4160487/2208196*x^2*z^2 + 39356/2229*x*y*z^2 + 
        2326/729*y^2*z^2 + 291527/552049*x*z^3 + 84433/20061*y*z^3 + 
        528529/552049*z^4,
    x^4 - 85/81*x^3*y + 7225/26244*x^2*y^2 - 1711/345*x^3*z + 32111/5589*x^2*y*z
        - 8975/26244*x*y^2*z + 4638721/476100*x^2*z^2 - 154633/22356*x*y*z^2 + 
        79801/104976*y^2*z^2 - 212164/23805*x*z^3 + 43258/27945*y*z^3 + 
        15376/4761*z^4,
    x^4 - 166/39*x^3*y + 6889/1521*x^2*y^2 - 29314/10401*x^3*z + 
        1691344/405639*x^2*y*z - 17690/4563*x*y^2*z + 
        301488781/108180801*x^2*z^2 - 936506/1216917*x*y*z^2 + 
        13105/13689*y^2*z^2 - 122122124/108180801*x*z^3 - 3764/45071*y*z^3 + 
        17355556/108180801*z^4,
    x^4 - 58/7*x^3*y + 841/49*x^2*y^2 + 3104/1023*x^3*z + 879754/35805*x^2*y*z -
        1906/245*x*y^2*z + 1543246/1046529*x^2*z^2 - 354314/35805*x*y*z^2 + 
        213/245*y^2*z^2 - 145888/116281*x*z^3 + 12682/11935*y*z^3 + 
        19881/116281*z^4,
    x^4 - 62/165*x^3*y + 961/27225*x^2*y^2 + 69045/9911*x^3*z - 
        3554832/545105*x^2*y*z + 30589/27225*x*y^2*z + 
        5330434333/392911684*x^2*z^2 - 4198107/218042*x*y*z^2 + 
        472561/108900*y^2*z^2 + 980922315/196455842*x*z^3 + 
        40300871/3270630*y*z^3 + 201838849/392911684*z^4,
    x^4 - 1766/377*x^3*y + 779689/142129*x^2*y^2 + 1360104398/567745035*x^3*z - 
        1546293762718/214039878195*x^2*y*z + 20391188/2131935*x*y^2*z + 
        365607819910073701/322334424767151225*x^2*z^2 + 
        7545341636056/3210598172925*x*y*z^2 + 218297284/31979025*y^2*z^2 - 
        23204787377827532/64466884953430245*x*z^3 + 
        3454561395464/642119634585*y*z^3 + 291078881149156/12893376990686049*z^\
        4,
    x^4 + 61/118*x^3*y + 3721/55696*x^2*y^2 + 505076/47613*x^3*z - 
        39189352/2809167*x^2*y*z + 69359/13924*x*y^2*z + 
        83142886228/2266997769*x^2*z^2 - 147616606/2809167*x*y*z^2 + 
        180121/13924*y^2*z^2 + 102724377184/2266997769*x*z^3 - 
        96202696/2809167*y*z^3 + 41365051456/2266997769*z^4,
    x^4 + 301/64*x^3*y + 90601/16384*x^2*y^2 - 174766/20597*x^3*z + 
        5696419/164776*x^2*y*z + 37537/8192*x*y^2*z + 
        6001045993/424236409*x^2*z^2 + 34164845/1318208*x*y*z^2 + 
        15769/16384*y^2*z^2 + 6935413944/424236409*x*z^3 + 3349779/659104*y*z^3 
        + 1574819856/424236409*z^4,
    x^4 + 53/16*x^3*y + 2809/1024*x^2*y^2 + 581241/80336*x^3*z + 
        30226729/7712256*x^2*y*z + 7865/3072*x*y^2*z + 
        368392398865/25815491584*x^2*z^2 + 49363355/7712256*x*y*z^2 + 
        16595/12288*y^2*z^2 + 110521232427/25815491584*x*z^3 + 
        29000833/30849024*y*z^3 + 36155881609/103261966336*z^4,
    x^4 - 32536/3519*x^3*y + 264647824/12383361*x^2*y^2 - 
        272386581/344624272*x^3*z - 44353915286/25265266941*x^2*y*z + 
        294840296/12383361*x*y^2*z - 575870608384610183/475063555406119936*x^2*\
        z^2 + 1070766678037/134748090352*x*y*z^2 + 178544521/12383361*y^2*z^2 + 
        128450759953416753/237531777703059968*x*z^3 + 
        5444186517017/1212732813168*y*z^3 + 222383181515995369/4750635554061199\
        36*z^4,
    x^4 - 35/13*x^3*y + 1225/676*x^2*y^2 - 686/195*x^3*z + 42866/5577*x^2*y*z - 
        1325/338*x*y^2*z + 1035179/418275*x^2*z^2 - 62951/27885*x*y*z^2 - 
        719/676*y^2*z^2 + 455504/418275*x*z^3 - 12400/5577*y*z^3 + 
        440896/4601025*z^4,
    x^4 - 3359/1872*x^3*y + 11282881/14017536*x^2*y^2 - 6949807/4649176*x^3*z - 
        34348318843/5802171648*x^2*y*z + 12040841/1752192*x*y^2*z + 
        111119855383329/86459349915904*x^2*z^2 + 2266175151/241757152*x*y*z^2 - 
        1476719/876096*y^2*z^2 - 5869146760535/10807418739488*x*z^3 - 
        2455543745/1087907184*y*z^3 + 713188695025/5403709369744*z^4,
    x^4 - 4865/2392*x^3*y + 23668225/22886656*x^2*y^2 - 
        241747120/286308347*x^3*z + 2572771969203/684849566024*x^2*y*z - 
        37671479/11443328*x*y^2*z - 96263128336290210/81972469561872409*x^2*z^2 
        - 2380918092361/684849566024*x*y*z^2 + 73241041/22886656*y^2*z^2 + 
        46808555658038800/81972469561872409*x*z^3 + 
        1345465839625/684849566024*y*z^3 + 37491072409993225/81972469561872409*\
        z^4,
    x^4 - 2369/392*x^3*y + 5612161/614656*x^2*y^2 - 157196091/35189966*x^3*z + 
        798381985371/27588933344*x^2*y*z - 20294613/614656*x*y^2*z + 
        37210041413064277/4953334828324624*x^2*z^2 - 
        561277364069/13794466672*x*y*z^2 + 63658169/2458624*y^2*z^2 - 
        27917924055729123/4953334828324624*x*z^3 + 
        1960165321239/110355733376*y*z^3 + 31541530186018609/19813339313298496*\
        z^4,
    x^4 + 8357/2664*x^3*y + 69839449/28387584*x^2*y^2 + 5396533/1129351*x^3*z - 
        19716885629/6017182128*x^2*y*z - 12239629/2365632*x*y^2*z + 
        2555543834737/5101734724804*x^2*z^2 + 7774045883/501431844*x*y*z^2 + 
        3661009/788544*y^2*z^2 - 15868607820627/1275433681201*x*z^3 - 
        1885064621/167143948*y*z^3 + 8646651989361/1275433681201*z^4,
    x^4 + 78/17*x^3*y + 1521/289*x^2*y^2 - 718918/129183*x^3*z - 
        38378444/2196111*x^2*y*z - 42530/2601*x*y^2*z + 
        187896025921/16688247489*x^2*z^2 + 389969090/19764999*x*y*z^2 + 
        310225/23409*y^2*z^2 - 163295034520/16688247489*x*z^3 - 
        112454200/19764999*y*z^3 + 51592579600/16688247489*z^4,
    x^4 - 1641/880*x^3*y + 2692881/3097600*x^2*y^2 + 1406803/1054845*x^3*z - 
        110052153/206280800*x^2*y*z - 271497/774400*x*y^2*z - 
        18048032152751/4450791896100*x^2*z^2 - 357608521/464131800*x*y*z^2 + 
        218689/774400*y^2*z^2 - 1112889496831/370899324675*x*z^3 + 
        438123469/154710600*y*z^3 + 625802819929/123633108225*z^4,
    x^4 - 337/152*x^3*y + 113569/92416*x^2*y^2 + 16232880/2568401*x^3*z + 
        4211414633/390396952*x^2*y*z - 212327/46208*x*y^2*z + 
        17562175906510/6596683696801*x^2*z^2 - 9483366187/390396952*x*y*z^2 + 
        4043771/1016576*y^2*z^2 - 152679083319600/6596683696801*x*z^3 + 
        63990445625/4294366472*y*z^3 + 88464276747025/6596683696801*z^4,
    x^4 - 1621/1504*x^3*y + 2627641/9048064*x^2*y^2 - 92127572/24526527*x^3*z + 
        316503704873/36887896608*x^2*y*z - 47241191/13572096*x*y^2*z + 
        4988045220003982/601550526681729*x^2*z^2 - 
        1808686441667/110663689824*x*y*z^2 + 519707641/81432576*y^2*z^2 - 
        5383019467486748/601550526681729*x*z^3 + 408983207561/110663689824*y*z^3
        + 3414071794743481/601550526681729*z^4,
    x^4 + 33/5*x^3*y + 1089/100*x^2*y^2 - 75893/25748*x^3*z + 
        377169/64370*x^2*y*z - 2243/400*x*y^2*z + 7483550301/2651838016*x^2*z^2 
        - 8579671/2059840*x*y*z^2 + 4841/6400*y^2*z^2 - 
        5080960457/5303676032*x*z^3 + 930737/1647872*y*z^3 + 
        4482168601/42429408256*z^4,
    x^4 - 1631/76*x^3*y + 2660161/23104*x^2*y^2 - 39683928/11070179*x^3*z + 
        28097873357/420666802*x^2*y*z - 1614341/5776*x*y^2*z + 
        552301030470104/122548863092041*x^2*z^2 - 14098609003/210333401*x*y*z^2 
        + 970201/5776*y^2*z^2 - 284266929028128/122548863092041*x*z^3 + 
        4520563382/210333401*y*z^3 + 51312523052176/122548863092041*z^4,
    x^4 + 422/109*x^3*y + 44521/11881*x^2*y^2 - 39621829/8732753*x^3*z - 
        18039551026/951870077*x^2*y*z - 688507/35643*x*y^2*z + 
        2296673155833397/305043899836036*x^2*z^2 + 
        140072224229/5711220462*x*y*z^2 + 7729489/427716*y^2*z^2 - 
        824382194715027/152521949918018*x*z^3 - 51413389265/5711220462*y*z^3 + 
        432900580025169/305043899836036*z^4,
    x^4 - 10/3*x^3*y + 25/9*x^2*y^2 - 7/5*x^3*z + 68/15*x^2*y*z - 1/9*x*y^2*z - 
        171/100*x^2*z^2 + 107/30*x*y*z^2 + 121/36*y^2*z^2 + 77/50*x*z^3 - 
        73/10*y*z^3 + 121/100*z^4,
    x^4 - 61/27*x^3*y + 3721/2916*x^2*y^2 + 31343/7038*x^3*z - 
        618712/95013*x^2*y*z + 3757/1944*x*y^2*z + 777451165/198133776*x^2*z^2 -
        2381285/506736*x*y*z^2 + 24529/5184*y^2*z^2 - 6613373/2871504*x*z^3 - 
        2470631/337824*y*z^3 + 44521/166464*z^4,
    x^4 - 74/41*x^3*y + 1369/1681*x^2*y^2 - 219455/89134*x^3*z + 
        57583997/10963482*x^2*y*z - 23866/5043*x*y^2*z + 
        20762488105/31779479824*x^2*z^2 - 29546108/5481741*x*y*z^2 + 
        29503/5043*y^2*z^2 + 16864019475/15889739912*x*z^3 + 
        35725775/10963482*y*z^3 + 5905154025/31779479824*z^4,
    x^4 + 1513/1001*x^3*y + 2289169/4008004*x^2*y^2 + 5580836/6184409*x^3*z + 
        5817793694/6190593409*x^2*y*z - 315680/1002001*x*y^2*z - 
        27161959495908/38246914679281*x^2*z^2 + 1000598498/6190593409*x*y*z^2 + 
        1195804/1002001*y^2*z^2 - 15768786058064/38246914679281*x*z^3 - 
        7083495304/6190593409*y*z^3 + 7983585874576/38246914679281*z^4,
    x^4 + 173/20*x^3*y + 29929/1600*x^2*y^2 + 113968/5175*x^3*z + 
        7749973/103500*x^2*y*z + 98781/800*x*y^2*z + 4322344606/26780625*x^2*z^2
        + 2942081/11500*x*y*z^2 + 349409/1600*y^2*z^2 + 3946369936/8926875*x*z^3
        + 31168223/103500*y*z^3 + 1199029129/2975625*z^4,
    x^4 - 2051/636*x^3*y + 4206601/1617984*x^2*y^2 - 406300146/82260611*x^3*z + 
        313953834125/17439249532*x^2*y*z - 6046531/404496*x*y^2*z + 
        52011391713803533/6766808122093321*x^2*z^2 - 
        74435306534/4359812383*x*y*z^2 + 2914177/404496*y^2*z^2 - 
        26526963548805972/6766808122093321*x*z^3 + 57536828531/13079437149*y*z^3
        + 4262664228402724/6766808122093321*z^4,
    x^4 + 95/378*x^3*y + 9025/571536*x^2*y^2 - 11113202/232085*x^3*z - 
        815414951/29242710*x^2*y*z - 238933/71442*x*y^2*z + 
        31860762989721/53863447225*x^2*z^2 + 1144240684/4873785*x*y*z^2 + 
        814585/35721*y^2*z^2 - 23581725663112/53863447225*x*z^3 - 
        3052324712/43864065*y*z^3 + 4502697265936/53863447225*z^4,
    x^4 - 8/75*x^3*y + 16/5625*x^2*y^2 - 989731/265400*x^3*z - 
        3479327/1658750*x^2*y*z + 24784/5625*x*y^2*z + 
        1451597807161/281748640000*x^2*z^2 + 72981457/26540000*x*y*z^2 - 
        197711/90000*y^2*z^2 - 880148973411/281748640000*x*z^3 - 
        129193573/159240000*y*z^3 + 790820696961/1126994560000*z^4,
    x^4 + 98/65*x^3*y + 2401/4225*x^2*y^2 + 3979/585*x^3*z + 53329/38025*x^2*y*z
        - 5514/4225*x*y^2*z + 5786821/1368900*x^2*z^2 + 186778/12675*x*y*z^2 + 
        14199/4225*y^2*z^2 - 210887/8450*x*z^3 - 519674/38025*y*z^3 + 
        227529/16900*z^4,
    x^4 - 4744/2255*x^3*y + 5626384/5085025*x^2*y^2 - 4393361/4630540*x^3*z + 
        17309014002/2610466925*x^2*y*z - 23936584/5085025*x*y^2*z - 
        87671762085999/85767602766400*x^2*z^2 - 84789487813/10441867700*x*y*z^2 
        + 21403321/5085025*y^2*z^2 + 25373535740147/42883801383200*x*z^3 + 
        38793978937/10441867700*y*z^3 + 33355557032329/85767602766400*z^4,
    x^4 + 17/19*x^3*y + 289/1444*x^2*y^2 + 2792057/434169*x^3*z + 
        274118753/2749737*x^2*y*z - 121283/1444*x*y^2*z + 
        5389435060009/754010882244*x^2*z^2 + 22059005297/32996844*x*y*z^2 - 
        1733399/5776*y^2*z^2 - 644727842155/62834240187*x*z^3 + 
        6355179475/5499474*y*z^3 + 53321737225/20944746729*z^4,
    x^4 + 818/123*x^3*y + 167281/15129*x^2*y^2 - 9157163/28957890*x^3*z + 
        89231093681/3561820470*x^2*y*z + 15860122/983385*x*y^2*z - 
        7978243137586991/3354237573008400*x^2*z^2 + 
        2935439095984/115759165275*x*y*z^2 + 363235261/63920025*y^2*z^2 + 
        637355952566863/1677118786504200*x*z^3 + 
        1581636471271/231518330550*y*z^3 + 4844424622813801/3354237573008400*z^\
        4,
    x^4 + 1049/164*x^3*y + 1100401/107584*x^2*y^2 - 27059059/2672339*x^3*z + 
        4674868761/219131798*x^2*y*z - 1037251/107584*x*y^2*z + 
        849338299100877/28565582923684*x^2*z^2 - 41460909521/1753054384*x*y*z^2 
        + 966361/430336*y^2*z^2 - 296542689955369/14282791461842*x*z^3 + 
        9901197599/1753054384*y*z^3 + 120101675546281/28565582923684*z^4,
    x^4 + 521/42*x^3*y + 271441/7056*x^2*y^2 - 2351527/550516*x^3*z - 
        539033717/46243344*x^2*y*z - 123175/2352*x*y^2*z + 
        7972401301129/1212271465024*x^2*z^2 - 27934775/15414448*x*y*z^2 + 
        56225/3136*y^2*z^2 - 5217039014025/1212271465024*x*z^3 + 
        167222025/61657792*y*z^3 + 4922075030625/4849085860096*z^4,
    x^4 - 178/361*x^3*y + 7921/130321*x^2*y^2 + 2222621/194940*x^3*z + 
        6091379116/1038006765*x^2*y*z - 570487/521284*x*y^2*z + 
        222222133665779/8968378449600*x^2*z^2 - 692743963297/33216216480*x*y*z^2
        + 21131329/8340544*y^2*z^2 - 98681209610317/2242094612400*x*z^3 + 
        77475971311/16608108240*y*z^3 + 1971233639624929/132283582131600*z^4,
    x^4 - 82/3*x^3*y + 1681/9*x^2*y^2 - 6960/169*x^3*z - 37030/507*x^2*y*z - 
        13570/9*x*y^2*z + 16048438/28561*x^2*z^2 + 993238/507*x*y*z^2 + 
        27409/9*y^2*z^2 - 81090960/28561*x*z^3 - 2497910/507*y*z^3 + 
        135745801/28561*z^4,
    x^4 - 88/17*x^3*y + 1936/289*x^2*y^2 - 9427/21947*x^3*z - 
        35943652/1865495*x^2*y*z + 31952/1445*x*y^2*z - 
        2004085379/1926683236*x^2*z^2 - 38526304/1865495*x*y*z^2 + 
        17012/1445*y^2*z^2 + 224749107/963341618*x*z^3 - 12495582/1865495*y*z^3 
        + 568393281/1926683236*z^4,
    x^4 - 2781/1792*x^3*y + 7733961/12845056*x^2*y^2 - 58936053/22901056*x^3*z +
        488734640319/82077384704*x^2*y*z - 51404901/12845056*x*y^2*z + 
        4393916685451513/2097833463660544*x^2*z^2 - 
        541400795555/82077384704*x*y*z^2 + 229094545/51380224*y^2*z^2 - 
        1184403497422101/2097833463660544*x*z^3 + 
        563678803127/328309538816*y*z^3 + 403865976237889/8391333854642176*z^4,
    x^4 + 11/12*x^3*y + 121/576*x^2*y^2 + 4/3*x^3*z + 25/72*x^2*y*z - 
        499/576*x*y^2*z - 13/18*x^2*z^2 + 175/144*x*y*z^2 + 1201/2304*y^2*z^2 - 
        7/9*x*z^3 - 233/288*y*z^3 + 49/144*z^4,
    x^4 - 134/49*x^3*y + 4489/2401*x^2*y^2 + 1821480/819329*x^3*z + 
        507431510/40147121*x^2*y*z - 29938/2401*x*y^2*z + 
        1491856818862/671300010241*x^2*z^2 + 571929266/40147121*x*y*z^2 - 
        8791/2401*y^2*z^2 + 736313253720/671300010241*x*z^3 + 
        120183734/40147121*y*z^3 + 163409169121/671300010241*z^4,
    x^4 + 4/19*x^3*y + 4/361*x^2*y^2 - 19328/361*x^3*z - 319456/6859*x^2*y*z - 
        1716/361*x*y^2*z + 101520450/130321*x^2*z^2 + 1278495/6859*x*y*z^2 + 
        15969/1444*y^2*z^2 - 217575296/130321*x*z^3 - 1321309/6859*y*z^3 + 
        126720049/130321*z^4,
    x^4 - 4/5*x^3*y + 4/25*x^2*y^2 + 8*x^3*z - 36/5*x^2*y*z + 56/25*x*y^2*z + 
        24*x^2*z^2 - 216/5*x*y*z^2 + 496/25*y^2*z^2 + 32*x*z^3 - 64*y*z^3 + 
        16*z^4,
    x^4 - 367/286*x^3*y + 134689/327184*x^2*y^2 - 57362/35035*x^3*z + 
        15708773/5010005*x^2*y*z - 1752489/817960*x*y^2*z + 
        327541197/1227451225*x^2*z^2 - 73865601/50100050*x*y*z^2 + 
        18016881/8179600*y^2*z^2 + 2026370012/6137256125*x*z^3 - 
        17102588/25050025*y*z^3 + 1247926276/30686280625*z^4,
    x^4 - 1786/585*x^3*y + 797449/342225*x^2*y^2 - 6510454/3859973*x^3*z + 
        1080909178/250898245*x^2*y*z - 844868/342225*x*y^2*z + 
        11848014147373/14899391560729*x^2*z^2 - 294336776/150538947*x*y*z^2 + 
        409444/342225*y^2*z^2 - 1055435739756/14899391560729*x*z^3 + 
        190772216/2258084205*y*z^3 + 26280948996/14899391560729*z^4,
    x^4 + 17/74*x^3*y + 289/21904*x^2*y^2 + 61364/345395*x^3*z - 
        26011671/25559230*x^2*y*z + 55039/10952*x*y^2*z - 
        227017242506/119297706025*x^2*z^2 - 160870691/25559230*x*y*z^2 + 
        117217/21904*y^2*z^2 - 20249935908/119297706025*x*z^3 - 
        135238953/25559230*y*z^3 + 108898020009/119297706025*z^4,
    x^4 - 56/55*x^3*y + 784/3025*x^2*y^2 - 32537/12700*x^3*z + 
        1802887/1222375*x^2*y*z - 248/21175*x*y^2*z + 
        939327169/645160000*x^2*z^2 + 5540309/9779000*x*y*z^2 + 
        3583/84700*y^2*z^2 + 76429413/322580000*x*z^3 - 2125791/9779000*y*z^3 + 
        5517801/645160000*z^4,
    x^4 + 3449/3528*x^3*y + 11895601/49787136*x^2*y^2 - 3342749/412293*x^3*z - 
        24063282041/2909139408*x^2*y*z - 89917795/24893568*x*y^2*z + 
        11977416141133/679942071396*x^2*z^2 + 5144334203/363642426*x*y*z^2 + 
        568480921/49787136*y^2*z^2 - 1628523800569/339971035698*x*z^3 + 
        38452882459/2909139408*y*z^3 + 237345326761/679942071396*z^4,
    x^4 + 10/7*x^3*y + 25/49*x^2*y^2 - 1985/111*x^3*z + 53857/777*x^2*y*z - 
        2480/147*x*y^2*z + 2380897/49284*x^2*z^2 + 347608/2331*x*y*z^2 - 
        13760/441*y^2*z^2 + 3485660/12321*x*z^3 + 135616/2331*y*z^3 + 
        3083536/12321*z^4,
    x^4 - 467/37*x^3*y + 218089/5476*x^2*y^2 - 11319996/777037*x^3*z - 
        14211179519/201252583*x^2*y*z + 1805821/19166*x*y^2*z + 
        22757371723726/603786499369*x^2*z^2 - 35646068387/201252583*x*y*z^2 + 
        2208407/38332*y^2*z^2 + 67583172159012/603786499369*x*z^3 - 
        25354740221/201252583*y*z^3 + 35643849241009/603786499369*z^4,
    x^4 - 1006/903*x^3*y + 253009/815409*x^2*y^2 + 3359688/914911*x^3*z - 
        15838099394/2478493899*x^2*y*z + 7336246/2446227*x*y^2*z + 
        11796630123814/7533559241289*x^2*z^2 - 88032060974/7435481697*x*y*z^2 + 
        47149321/7338681*y^2*z^2 - 8323688614280/2511186413763*x*z^3 - 
        130593782590/22306445091*y*z^3 + 55242873828025/67802033171601*z^4,
    x^4 - 109/72*x^3*y + 11881/20736*x^2*y^2 + 37033/220*x^3*z - 
        4126511/31680*x^2*y*z + 7093/6912*x*y^2*z + 1341285049/193600*x^2*z^2 + 
        156119/2112*x*y*z^2 + 65809/9216*y^2*z^2 - 230752623/17600*x*z^3 - 
        9307679/14080*y*z^3 + 38825361/6400*z^4,
    x^4 - 594/173*x^3*y + 88209/29929*x^2*y^2 + 52425098/66892699*x^3*z - 
        2070915491380/243021175467*x^2*y*z + 5295782/628509*x*y^2*z - 
        13732890224520863/4474633179504601*x^2*z^2 - 
        2127060217838/243021175467*x*y*z^2 + 3992285/628509*y^2*z^2 - 
        5650611297777864/4474633179504601*x*z^3 - 
        1270955801896/243021175467*y*z^3 + 11617491542043024/4474633179504601*z\
        ^4,
    x^4 + 1384/153*x^3*y + 478864/23409*x^2*y^2 - 43709426/2471273*x^3*z + 
        2089999294/42011641*x^2*y*z - 4852811/163863*x*y^2*z + 
        546690230741229/6107190240529*x^2*z^2 - 74644996037/882244461*x*y*z^2 + 
        49027549/4588164*y^2*z^2 - 87249696521380/872455748647*x*z^3 + 
        11969894785/378104769*y*z^3 + 3984534976900/124636535521*z^4,
    x^4 + 174/287*x^3*y + 7569/82369*x^2*y^2 + 4759792/278021*x^3*z - 
        1716278058/79792027*x^2*y*z + 223466/82369*x*y^2*z + 
        4941852739422/77295676441*x^2*z^2 - 463374930/79792027*x*y*z^2 + 
        71705/82369*y^2*z^2 - 6180861220144/77295676441*x*z^3 + 
        88720242/11398861*y*z^3 + 1686250282249/77295676441*z^4,
    x^4 - 475/638*x^3*y + 225625/1628176*x^2*y^2 + 19659080/2717097*x^3*z - 
        7009090063/1733507886*x^2*y*z + 376131/814088*x*y^2*z + 
        57503240295622/7382616107409*x^2*z^2 - 25476117505/1733507886*x*y*z^2 + 
        24827411/4884528*y^2*z^2 - 141510717041960/7382616107409*x*z^3 + 
        18225748649/5200523658*y*z^3 + 51814615908169/7382616107409*z^4,
    x^4 - 154/69*x^3*y + 5929/4761*x^2*y^2 - 234758/1294601*x^3*z + 
        17577328/5800485*x^2*y*z - 144914/23805*x*y^2*z - 
        3560900343579/1675991749201*x^2*z^2 - 3151426178/446637345*x*y*z^2 + 
        352301/23805*y^2*z^2 + 382655540/1978738783*x*z^3 + 
        42559148/5800485*y*z^3 + 321484900/282676969*z^4,
    x^4 + 307/4*x^3*y + 94249/64*x^2*y^2 - 899638/74101*x^3*z + 
        272213595/296404*x^2*y*z + 48763/16*x*y^2*z + 
        119378692029/5490958201*x^2*z^2 + 124238812/74101*x*y*z^2 + 
        25201/16*y^2*z^2 + 503586764708/5490958201*x*z^3 + 61992607/74101*y*z^3 
        + 313337974756/5490958201*z^4,
    x^4 - 12574/3507*x^3*y + 39526369/12299049*x^2*y^2 - 
        782713116/289087855*x^3*z + 4331954210373/337943702495*x^2*y*z - 
        574691519/61495245*x*y^2*z + 419230924640296553/167143575817002050*x^2*\
        z^2 - 48457067121289/3379437024950*x*y*z^2 + 
        7679626369/1229904900*y^2*z^2 - 15285479795300277/16714357581700205*x*z\
        ^3 + 20607519682157/4055324429940*y*z^3 + 
        6102009936621769/53485944261440656*z^4,
    x^4 + 49/20*x^3*y + 2401/1600*x^2*y^2 - 10659/2564*x^3*z - 
        1330597/717920*x^2*y*z - 10091/3200*x*y^2*z + 
        1202281123/184074688*x^2*z^2 - 2248891/717920*x*y*z^2 + 
        46681/25600*y^2*z^2 - 1691892411/368149376*x*z^3 + 734621/328192*y*z^3 +
        25194895441/20616365056*z^4,
    x^4 - 77/16*x^3*y + 5929/1024*x^2*y^2 - 45944/9691*x^3*z + 
        4769033/155056*x^2*y*z - 14643/512*x*y^2*z + 724653286/93915481*x^2*z^2 
        - 10290609/155056*x*y*z^2 + 35073/1024*y^2*z^2 - 
        466836984/93915481*x*z^3 + 7414983/155056*y*z^3 + 
        103245921/93915481*z^4,
    x^4 + 182/29*x^3*y + 8281/841*x^2*y^2 + 35509/9860*x^3*z + 
        1465869/285940*x^2*y*z - 28760/841*x*y^2*z - 
        1603243719/388878400*x^2*z^2 - 220555/14297*x*y*z^2 + 45328/841*y^2*z^2 
        - 128933179/9721960*x*z^3 + 81172/71485*y*z^3 + 13184161/972196*z^4,
    x^4 - 498/209*x^3*y + 62001/43681*x^2*y^2 - 605222/197391*x^3*z + 
        142208302/13751573*x^2*y*z - 302604/43681*x*y^2*z + 
        128457899581/38963206881*x^2*z^2 - 186045296/13751573*x*y*z^2 + 
        282484/43681*y^2*z^2 - 56545891460/38963206881*x*z^3 + 
        221493320/41254719*y*z^3 + 8729164900/38963206881*z^4,
    x^4 - 369/244*x^3*y + 136161/238144*x^2*y^2 - 1525577/485133*x^3*z + 
        52020183/19728742*x^2*y*z - 494919/238144*x*y^2*z + 
        2771031549301/941416110756*x^2*z^2 + 542742719/473489808*x*y*z^2 + 
        2084113/952576*y^2*z^2 - 116259646439/156902685126*x*z^3 - 
        345883271/157829936*y*z^3 + 5807506849/104601790084*z^4,
    x^4 - 5763/3200*x^3*y + 33212169/40960000*x^2*y^2 - 98047/56904*x^3*z + 
        515985313/121395200*x^2*y*z - 15608517/10240000*x*y^2*z - 
        29542655807/12952260864*x^2*z^2 - 243905639/91046400*x*y*z^2 + 
        5694481/10240000*y^2*z^2 + 937035179/359785024*x*z^3 + 
        10811433/30348800*y*z^3 + 822026241/359785024*z^4,
    x^4 + 2711/1992*x^3*y + 7349521/15872256*x^2*y^2 + 15205716/5023409*x^3*z + 
        48908554411/30019892184*x^2*y*z + 594609/881792*x*y^2*z + 
        70894785167158/25234637981281*x^2*z^2 - 74976246793/30019892184*x*y*z^2 
        + 19979681/15872256*y^2*z^2 + 19813549736628/25234637981281*x*z^3 - 
        55550213759/30019892184*y*z^3 + 1697894999089/25234637981281*z^4,
    x^4 - 803/406*x^3*y + 644809/659344*x^2*y^2 - 1343914/596269*x^3*z + 
        1220678625/242085214*x^2*y*z - 115685/41209*x*y^2*z + 
        523841714169/355536720361*x^2*z^2 - 443202775/121042607*x*y*z^2 + 
        78850/41209*y^2*z^2 - 81494944960/355536720361*x*z^3 + 
        66531950/121042607*y*z^3 + 3677209600/355536720361*z^4,
    x^4 + 464/875*x^3*y + 53824/765625*x^2*y^2 + 180350537/39124000*x^3*z - 
        72449211771/8558375000*x^2*y*z + 4674094/765625*x*y^2*z + 
        43169446556844369/6122749504000000*x^2*z^2 - 
        3945489198491/136934000000*x*y*z^2 + 148081481/12250000*y^2*z^2 + 
        12265452637162057/3061374752000000*x*z^3 - 
        409924761957/19562000000*y*z^3 + 4625218776299521/6122749504000000*z^4,
    x^4 - 566/55*x^3*y + 80089/3025*x^2*y^2 + 29245244/43599985*x^3*z - 
        72766877223/2397999175*x^2*y*z + 2732189/39325*x*y^2*z - 
        5920475424904077/3801917384000450*x^2*z^2 - 
        2000149042191/62347978550*x*y*z^2 + 92806789/2044900*y^2*z^2 - 
        6298935699763/11248276284025*x*z^3 - 117562033687/9591996700*y*z^3 + 
        125438409605041/179972420544400*z^4,
    x^4 - 2972/1521*x^3*y + 2208196/2313441*x^2*y^2 - 123415044/86106007*x^3*z +
        223624366781/43655745549*x^2*y*z - 10870357/2313441*x*y^2*z - 
        5145757292521706/7414244441484049*x^2*z^2 - 
        82444652306/14551915183*x*y*z^2 + 11901991/2313441*y^2*z^2 + 
        6416543750404740/7414244441484049*x*z^3 + 
        416545051555/130967236647*y*z^3 + 2703124910812225/7414244441484049*z^4\
        ,
    x^4 + 438/245*x^3*y + 47961/60025*x^2*y^2 - 80093/46788*x^3*z + 
        1793859/3821020*x^2*y*z - 12822/12005*x*y^2*z + 
        7549965529/8756467776*x^2*z^2 - 6229736/573153*x*y*z^2 + 
        21436/2401*y^2*z^2 - 485764045/4378233888*x*z^3 + 34270345/4585224*y*z^3
        + 36784225/8756467776*z^4,
    x^4 + 2644/735*x^3*y + 1747684/540225*x^2*y^2 - 3335483/1120260*x^3*z - 
        250972556/205847775*x^2*y*z + 995068/180075*x*y^2*z + 
        4650998275129/5019929870400*x^2*z^2 - 90158483/274463700*x*y*z^2 + 
        313009/60025*y^2*z^2 + 803214325747/418327489200*x*z^3 - 
        26512657/45743950*y*z^3 + 57988974481/139442496400*z^4,
    x^4 - 1025/272*x^3*y + 1050625/295936*x^2*y^2 + 5003132/437155*x^3*z - 
        1111037755/23781232*x^2*y*z + 6994515/147968*x*y^2*z + 
        4356955737406/191104494025*x^2*z^2 - 16009121337/118906160*x*y*z^2 + 
        50392809/295936*y^2*z^2 - 2175506884428/38220898805*x*z^3 + 
        2416549095/23781232*y*z^3 + 189076259241/7644179761*z^4,
    x^4 + 13996/737*x^3*y + 48972004/543169*x^2*y^2 - 208083957/60420935*x^3*z -
        3746874113876/44530229095*x^2*y*z - 52448428/543169*x*y^2*z + 
        64909800881799469/14602757545096900*x^2*z^2 + 
        4317705910549/44530229095*x*y*z^2 + 11368729/543169*y^2*z^2 - 
        18606443567919591/7301378772548450*x*z^3 - 
        1489107913081/44530229095*y*z^3 + 7995572107069369/14602757545096900*z^\
        4,
    x^4 - 16/15*x^3*y + 64/225*x^2*y^2 - 4968/325*x^3*z + 4452/1625*x^2*y*z + 
        1304/1125*x*y^2*z + 8045896/105625*x^2*z^2 + 22632/8125*x*y*z^2 + 
        736/5625*y^2*z^2 - 71678304/528125*x*z^3 + 75808/9375*y*z^3 + 
        208167184/2640625*z^4,
    x^4 - 109/70*x^3*y + 11881/19600*x^2*y^2 - 321/238*x^3*z + 
        672373/531160*x^2*y*z - 569/4900*x*y^2*z + 12187551/61402096*x^2*z^2 - 
        469657/2257430*x*y*z^2 + 1801/4900*y^2*z^2 + 2653065/15350524*x*z^3 - 
        596331/2257430*y*z^3 + 68310225/4159992004*z^4,
    x^4 + 3438/2327*x^3*y + 2954961/5414929*x^2*y^2 - 247254289/67979188*x^3*z -
        364989412935/79093785238*x^2*y*z - 97816197/21659716*x*y^2*z + 
        70806294056888577/18484680004557376*x^2*z^2 + 
        281619293731/1265500563808*x*y*z^2 + 2473509193/346555456*y^2*z^2 - 
        4397204643922171/4621170001139344*x*z^3 + 
        3478694476171/632750281904*y*z^3 + 316275599971321/4621170001139344*z^4\
        ,
    x^4 - 221/160*x^3*y + 48841/102400*x^2*y^2 - 11405/2302*x^3*z + 
        2745323/736640*x^2*y*z - 79/51200*x*y^2*z + 210653233/21196816*x^2*z^2 -
        2538731/368320*x*y*z^2 + 221401/102400*y^2*z^2 - 99805155/10598408*x*z^3
        + 4034931/736640*y*z^3 + 76580001/21196816*z^4,
    x^4 + 131/153*x^3*y + 17161/93636*x^2*y^2 - 2856824/686273*x^3*z - 
        248578574/34999923*x^2*y*z - 995455/327726*x*y^2*z + 
        2555278336374/470970630529*x^2*z^2 + 875047745/81666487*x*y*z^2 + 
        18541525/4588164*y^2*z^2 - 1071751807720/470970630529*x*z^3 - 
        335851300/104999769*y*z^3 + 140741274025/470970630529*z^4,
    x^4 - 113/73*x^3*y + 12769/21316*x^2*y^2 + 651745/400551*x^3*z + 
        20754358/29240223*x^2*y*z - 84481/63948*x*y^2*z + 
        1324253677237/641764414404*x^2*z^2 - 2480506129/350882676*x*y*z^2 + 
        3373969/767376*y^2*z^2 + 365891598235/320882207202*x*z^3 - 
        646124221/350882676*y*z^3 + 315173328409/641764414404*z^4,
    x^4 - 3908/715*x^3*y + 3818116/511225*x^2*y^2 - 66594338/18589395*x^3*z - 
        348131683252/13291417425*x^2*y*z + 14576616/511225*x*y^2*z + 
        1619411555770981/345565606466025*x^2*z^2 + 
        169607170956/4430472475*x*y*z^2 - 9445596/511225*y^2*z^2 - 
        304926550060708/115188535488675*x*z^3 - 162960730648/13291417425*y*z^3 +
        20966013845956/38396178496225*z^4,
    x^4 - 41/13*x^3*y + 1681/676*x^2*y^2 - 1624/1641*x^3*z + 58258/21333*x^2*y*z
        - 177/676*x*y^2*z + 711856/2692881*x^2*z^2 - 5257/21333*x*y*z^2 + 
        35/8112*y^2*z^2 - 25984/2692881*x*z^3 - 1100/63999*y*z^3 + 
        256/2692881*z^4,
    x^4 - 4064/1745*x^3*y + 4129024/3045025*x^2*y^2 + 726175/199628*x^3*z - 
        1482564032/261263145*x^2*y*z + 12575648/9135075*x*y^2*z + 
        6389685457/159405353536*x^2*z^2 - 3668120099/209010516*x*y*z^2 + 
        190490483/9135075*y^2*z^2 - 473748582075/79702676768*x*z^3 + 
        12973443289/1045052580*y*z^3 + 425611407321/159405353536*z^4,
    x^4 - 71/52*x^3*y + 5041/10816*x^2*y^2 + 3511/2551*x^3*z - 
        57233/66326*x^2*y*z + 8883/10816*x*y^2*z - 82906811/26030404*x^2*z^2 + 
        201987/530608*x*y*z^2 + 7929/43264*y^2*z^2 - 32768163/13015202*x*z^3 - 
        1111959/530608*y*z^3 + 87104889/26030404*z^4,
    x^4 - 118/95*x^3*y + 3481/9025*x^2*y^2 + 440018/661485*x^3*z - 
        7843738/62841075*x^2*y*z - 4948/19855*x*y^2*z - 
        709829836019/437562405225*x^2*z^2 - 298997896/138250365*x*y*z^2 + 
        105796/43681*y^2*z^2 - 50437503268/87512481045*x*z^3 - 
        12349928/27650073*y*z^3 + 13139119876/17502496209*z^4,
    x^4 + 154/3*x^3*y + 5929/9*x^2*y^2 + 15742/2877*x^3*z - 5638006/8631*x^2*y*z
        - 23836/9*x*y^2*z - 96800219/8277129*x^2*z^2 + 17307040/8631*x*y*z^2 + 
        23956/9*y^2*z^2 - 434321780/8277129*x*z^3 - 15606520/8631*y*z^3 + 
        761208100/8277129*z^4,
    x^4 - 5149/464*x^3*y + 26512201/861184*x^2*y^2 - 456688/332137*x^3*z - 
        3924791963/154111568*x^2*y*z + 25501243/430592*x*y^2*z - 
        357323489730/110314986769*x^2*z^2 - 3677324539/154111568*x*y*z^2 + 
        24892369/861184*y^2*z^2 + 281506593392/110314986769*x*z^3 - 
        1473690533/154111568*y*z^3 + 379960055281/110314986769*z^4,
    x^4 - 544/195*x^3*y + 73984/38025*x^2*y^2 + 59171/55172*x^3*z - 
        166758223/10758540*x^2*y*z + 110764/7605*x*y^2*z - 
        15143618439/12175798336*x^2*z^2 - 59868763/2151708*x*y*z^2 + 
        22936/1521*y^2*z^2 - 4999061935/6087899168*x*z^3 - 5746135/358618*y*z^3 
        + 7137715225/12175798336*z^4,
    x^4 - 431/34*x^3*y + 185761/4624*x^2*y^2 + 5667206/4090999*x^3*z - 
        15131435416/208640949*x^2*y*z + 1025209/6936*x*y^2*z - 
        37442164287387/16736272818001*x^2*z^2 - 58370880719/417281898*x*y*z^2 + 
        1847707/13872*y^2*z^2 - 31495508679412/16736272818001*x*z^3 - 
        18757281139/208640949*y*z^3 + 30885828480004/16736272818001*z^4,
    x^4 - 59/133*x^3*y + 3481/70756*x^2*y^2 + 7524460/345933*x^3*z - 
        759487300/46009089*x^2*y*z + 48813/17689*x*y^2*z + 
        10966471907092/119669640489*x^2*z^2 - 580103260/15336363*x*y*z^2 + 
        276947/53067*y^2*z^2 - 11556788016160/39889880163*x*z^3 + 
        8697122864/138027267*y*z^3 + 2358976522816/13296626721*z^4,
    x^4 - 2399/1120*x^3*y + 5755201/5017600*x^2*y^2 + 6273929/1719240*x^3*z - 
        16451082329/3851097600*x^2*y*z + 1476371/7526400*x*y^2*z + 
        7102592676721/11823144710400*x^2*z^2 - 9443670499/5776646400*x*y*z^2 + 
        84838441/45158400*y^2*z^2 - 29430793899343/5911572355200*x*z^3 + 
        81358167797/11553292800*y*z^3 + 22005171395089/11823144710400*z^4,
    x^4 + 2378/2211*x^3*y + 1413721/4888521*x^2*y^2 + 5602970/321399*x^3*z + 
        16187950072/710613189*x^2*y*z + 23273122/4888521*x*y^2*z + 
        5328240216589/103297317201*x^2*z^2 + 77587423438/710613189*x*y*z^2 + 
        108070681/4888521*y^2*z^2 - 21966343031540/103297317201*x*z^3 - 
        2798715724/64601199*y*z^3 + 15370179112324/103297317201*z^4,
    x^4 + 194/187*x^3*y + 9409/34969*x^2*y^2 - 592636/73627*x^3*z - 
        272323682/41304747*x^2*y*z - 172906/104907*x*y^2*z + 
        110023365930/5420935129*x^2*z^2 + 487435414/41304747*x*y*z^2 + 
        474127/104907*y^2*z^2 - 89422253404/5420935129*x*z^3 + 
        1499362/41304747*y*z^3 + 22767490321/5420935129*z^4,
    x^4 - 130/23*x^3*y + 4225/529*x^2*y^2 - 213392/36731*x^3*z + 
        24944274/844813*x^2*y*z - 18818/529*x*y^2*z + 
        16763585214/1349166361*x^2*z^2 - 39720446/844813*x*y*z^2 + 
        18958/529*y^2*z^2 - 15626482768/1349166361*x*z^3 + 19737562/844813*y*z^3
        + 5362486441/1349166361*z^4,
    x^4 + 682/255*x^3*y + 116281/65025*x^2*y^2 + 11620505/6702454*x^3*z + 
        358759739/466125210*x^2*y*z - 97163/65025*x*y^2*z - 
        91381084112843/179691558488464*x^2*z^2 + 12670854491/5127377310*x*y*z^2 
        + 115933/86700*y^2*z^2 - 17843413253055/16335596226224*x*z^3 - 
        350981057/233062605*y*z^3 + 2357794031121/5940216809536*z^4,
    x^4 - 16634/82335*x^3*y + 69172489/6779052225*x^2*y^2 + 
        5437038140/288797747*x^3*z - 73452545276798/23778162499245*x^2*y*z + 
        912946598/6779052225*x*y^2*z + 6982786041362469822/83404138672276009*x^\
        2*z^2 - 819701817073222/23778162499245*x*y*z^2 + 
        25643069809/6779052225*y^2*z^2 - 3836454237215069180/83404138672276009*\
        x*z^3 - 8358068520874/7926054166415*y*z^3 + 
        497892157071579169/83404138672276009*z^4,
    x^4 + 88*x^3*y + 1936*x^2*y^2 - 56329/4892*x^3*z - 519651/1223*x^2*y*z - 
        8128*x*y^2*z + 4628776305/95726656*x^2*z^2 + 6122857/9784*x*y*z^2 + 
        34129/4*y^2*z^2 - 2095382471/23931664*x*z^3 - 1248467/4892*y*z^3 + 
        1383765601/23931664*z^4,
    x^4 - 95/36*x^3*y + 9025/5184*x^2*y^2 + 481631/242740*x^3*z - 
        1983332893/192250080*x^2*y*z + 79729/9504*x*y^2*z - 
        410108979599/235690830400*x^2*z^2 - 533434691/32041680*x*y*z^2 + 
        60803/6336*y^2*z^2 - 6009309987/2223498400*x*z^3 - 
        263306389/21361120*y*z^3 + 155675529/83905600*z^4,
    x^4 - 10*x^3*y + 25*x^2*y^2 - 1504/3095*x^3*z + 9608/1857*x^2*y*z + 
        40/3*x*y^2*z - 13733396/9579025*x^2*z^2 + 66856/3095*x*y*z^2 - 4*y^2*z^2
        + 694848/1915805*x*z^3 + 5616/619*y*z^3 + 213444/383161*z^4,
    x^4 - 24/53*x^3*y + 144/2809*x^2*y^2 - 8745068/1556451*x^3*z + 
        121061626/9165767*x^2*y*z - 164478/36517*x*y^2*z + 
        28450596793654/2422539715401*x^2*z^2 - 74329016/4272489*x*y*z^2 + 
        2331850/474721*y^2*z^2 - 8738360532844/807513238467*x*z^3 + 
        1514244730/357464913*y*z^3 + 998466588289/269171079489*z^4,
    x^4 - 222/11*x^3*y + 12321/121*x^2*y^2 - 2632/1011*x^3*z + 32475/337*x^2*y*z
        - 29439/121*x*y^2*z + 4293743/2044242*x^2*z^2 - 3112565/22242*x*y*z^2 + 
        70101/484*y^2*z^2 - 540218/1022121*x*z^3 + 952057/14828*y*z^3 + 
        674041/16353936*z^4,
    x^4 - 53/28*x^3*y + 2809/3136*x^2*y^2 - 25756/38521*x^3*z + 
        7137775/1078588*x^2*y*z - 9329/1568*x*y^2*z - 
        720063074/1483867441*x^2*z^2 + 4867305/1078588*x*y*z^2 - 
        5591/3136*y^2*z^2 + 296168244/1483867441*x*z^3 + 715317/1078588*y*z^3 + 
        132227001/1483867441*z^4,
    x^4 + 389/494*x^3*y + 151321/976144*x^2*y^2 + 336221/79515*x^3*z + 
        170076019/78560820*x^2*y*z + 40763/244036*x*y^2*z + 
        7313147281/25290540900*x^2*z^2 + 109069471/19640205*x*y*z^2 + 
        752257/244036*y^2*z^2 - 55884301073/6322635225*x*z^3 - 
        150859997/19640205*y*z^3 + 27626761369/6322635225*z^4,
    x^4 + 2174/785*x^3*y + 1181569/616225*x^2*y^2 - 7615512/3017069*x^3*z - 
        17279038054/1507163105*x^2*y*z - 5703874/616225*x*y^2*z + 
        10516878962782/9102705350761*x^2*z^2 + 47836729826/3315758831*x*y*z^2 + 
        5964001/616225*y^2*z^2 + 5025727680696/9102705350761*x*z^3 - 
        12242740454/2368399165*y*z^3 + 435511564489/9102705350761*z^4,
    x^4 - 6794/2453*x^3*y + 11539609/6017209*x^2*y^2 - 7121266/9215475*x^3*z - 
        4189185376/1189766325*x^2*y*z + 372795818/90258135*x*y^2*z - 
        88827703079891/84924979475625*x^2*z^2 - 
        1363862421938/339083402625*x*y*z^2 + 2825627209/1353872025*y^2*z^2 + 
        196096749406012/424624897378125*x*z^3 - 
        2985444737108/1695417013125*y*z^3 + 758274362915524/2123124486890625*z^\
        4,
    x^4 - 503/164*x^3*y + 253009/107584*x^2*y^2 - 43887/19967*x^3*z - 
        2039445/6549176*x^2*y*z + 28951/26896*x*y^2*z + 
        1071640905/1594724356*x^2*z^2 - 8325431/4911882*x*y*z^2 + 
        58825/242064*y^2*z^2 + 234751563/398681089*x*z^3 - 443405/1637294*y*z^3 
        + 28611801/398681089*z^4,
    x^4 - 167/85*x^3*y + 27889/28900*x^2*y^2 - 24726/13991*x^3*z + 
        520947/237847*x^2*y*z - 4209/7225*x*y^2*z + 207744453/195748081*x^2*z^2 
        + 67584/1189235*x*y*z^2 + 829/7225*y^2*z^2 - 48512412/195748081*x*z^3 - 
        242532/1189235*y*z^3 + 3849444/195748081*z^4,
    x^4 + 220/107*x^3*y + 12100/11449*x^2*y^2 + 23349777/21772360*x^3*z + 
        497135477/349446378*x^2*y*z + 21155/68694*x*y^2*z - 
        131340922348671/1896142639878400*x^2*z^2 - 
        12980560673/18637140160*x*y*z^2 + 574401/732736*y^2*z^2 - 
        36278478475569/189614263987840*x*z^3 - 2311023807/3727428032*y*z^3 + 
        2413974367809/75845705595136*z^4,
    x^4 + 276/65*x^3*y + 19044/4225*x^2*y^2 + 54143/8593*x^3*z + 
        3620316/111709*x^2*y*z + 111484/4225*x*y^2*z + 
        2047932189/295358596*x^2*z^2 + 39470209/558545*x*y*z^2 + 
        160481/4225*y^2*z^2 - 1391745815/147679298*x*z^3 + 17873543/558545*y*z^3
        + 660747025/295358596*z^4,
    x^4 - 446/175*x^3*y + 49729/30625*x^2*y^2 - 5235806/1699145*x^3*z - 
        378291964/892051125*x^2*y*z + 160718/91875*x*y^2*z + 
        4772384880369/2887093731025*x^2*z^2 - 2621358226/892051125*x*y*z^2 + 
        22363/91875*y^2*z^2 + 3206281935056/2887093731025*x*z^3 - 
        333377776/892051125*y*z^3 + 375004365376/2887093731025*z^4,
    x^4 + 522/199*x^3*y + 68121/39601*x^2*y^2 - 17914314/1621651*x^3*z - 
        10697036436/322708549*x^2*y*z - 961617/39601*x*y^2*z + 
        102065368438941/2629751965801*x^2*z^2 + 28746816692/322708549*x*y*z^2 + 
        8160409/158404*y^2*z^2 - 120603568769244/2629751965801*x*z^3 - 
        17085231858/322708549*y*z^3 + 45323136204516/2629751965801*z^4,
    x^4 + 14754/31493*x^3*y + 54420129/991809049*x^2*y^2 - 
        6172813228/403289133*x^3*z - 6081639217622/384872262593*x^2*y*z - 
        3599092650/991809049*x*y^2*z + 10867526952827609518/162642124795891689*\
        x^2*z^2 + 651540184629938/12700784665569*x*y*z^2 + 
        9439957081/991809049*y^2*z^2 - 10267542814918396876/162642124795891689*\
        x*z^3 - 257800434873094/12700784665569*y*z^3 + 
        2766729952354866289/162642124795891689*z^4,
    x^4 - 1879/676*x^3*y + 3530641/1827904*x^2*y^2 - 15457317/10736570*x^3*z + 
        15729272901/14515842640*x^2*y*z - 372597/2284880*x*y^2*z - 
        204011982213911/461095741459600*x^2*z^2 - 9471945703/18144803300*x*y*z^2
        + 988649/11424400*y^2*z^2 + 15942413979411/23054787072980*x*z^3 - 
        295836699/725792132*y*z^3 + 1063750892689/4610957414596*z^4,
    x^4 + 482/123*x^3*y + 58081/15129*x^2*y^2 - 1462321/6815553*x^3*z - 
        4618700177/838313019*x^2*y*z - 305816/45387*x*y^2*z - 
        54983939261075/185807050783236*x^2*z^2 + 8552163628/2514939057*x*y*z^2 +
        310924/136161*y^2*z^2 + 1021330318351/30967841797206*x*z^3 - 
        1304251711/1676626038*y*z^3 + 487805861761/20645227864804*z^4,
    x^4 + 442/259*x^3*y + 48841/67081*x^2*y^2 + 28690/381359*x^3*z - 
        88727388/14110283*x^2*y*z - 209354/67081*x*y^2*z - 
        249004700295/145434686881*x^2*z^2 + 77944882/8979271*x*y*z^2 + 
        166849/67081*y^2*z^2 - 9374170600/145434686881*x*z^3 - 
        395623000/98771981*y*z^3 + 106759027600/145434686881*z^4,
    x^4 - 3722/145*x^3*y + 3463321/21025*x^2*y^2 - 30566552/5753803*x^3*z + 
        19182980522/166860287*x^2*y*z - 11898454/21025*x*y^2*z + 
        343938135435046/33106248962809*x^2*z^2 - 141560462798/834301435*x*y*z^2 
        + 10234849/21025*y^2*z^2 - 293137665830040/33106248962809*x*z^3 + 
        68637718434/834301435*y*z^3 + 91970881121025/33106248962809*z^4,
    x^4 - 146/15*x^3*y + 5329/225*x^2*y^2 - 106277/47513*x^3*z + 
        41054807/2138085*x^2*y*z - 4244/135*x*y^2*z + 
        136872692941/81269466084*x^2*z^2 - 16079662/1282851*x*y*z^2 + 
        796/81*y^2*z^2 - 19694722255/40634733042*x*z^3 + 21027655/7697106*y*z^3 
        + 34341649225/731425194756*z^4,
    x^4 + 2756/85*x^3*y + 1898884/7225*x^2*y^2 - 14817499/5026237*x^3*z - 
        26379315844/427230145*x^2*y*z - 2596068/7225*x*y^2*z + 
        328831584212461/101052233520676*x^2*z^2 + 14847597/391595*x*y*z^2 + 
        894609/7225*y^2*z^2 - 80535255602355/50526116760338*x*z^3 - 
        632716011/85446029*y*z^3 + 29540801171025/101052233520676*z^4,
    x^4 - 284/79*x^3*y + 20164/6241*x^2*y^2 - 28150979/28801188*x^3*z + 
        920704475/568823463*x^2*y*z - 9903/6241*x*y^2*z - 
        3247068026526167/3318033720845376*x^2*z^2 - 437839397/3033725136*x*y*z^2
        + 3974507/299568*y^2*z^2 + 54838191544937/92167603356816*x*z^3 + 
        42389341843/13651763112*y*z^3 + 3794715688009/10240844817424*z^4,
    x^4 - 2896/1885*x^3*y + 2096704/3553225*x^2*y^2 - 3605065/1286034*x^3*z + 
        940245188/404029015*x^2*y*z - 9864224/3553225*x*y^2*z + 
        18086888865433/6615533796624*x^2*z^2 + 821264473/484834818*x*y*z^2 + 
        10044961/3553225*y^2*z^2 - 1189134295315/1102588966104*x*z^3 - 
        1999237523/808058030*y*z^3 + 108801682201/735059310736*z^4,
    x^4 - 4/9*x^3*y + 4/81*x^2*y^2 - 388973/159240*x^3*z + 
        1122413/358290*x^2*y*z + 3487/810*x*y^2*z + 
        224403893929/101429510400*x^2*z^2 - 138086749/57326400*x*y*z^2 - 
        88031/129600*y^2*z^2 - 4464243121/5071475520*x*z^3 + 
        2439077/5732640*y*z^3 + 131721529/1014295104*z^4,
    x^4 - 7438/3339*x^3*y + 13830961/11148921*x^2*y^2 - 2200126/4689069*x^3*z + 
        38433993448/15656801391*x^2*y*z - 30277538/11148921*x*y^2*z - 
        16435409487587/21987368086761*x^2*z^2 - 3712226386/1423345581*x*y*z^2 + 
        44562001/11148921*y^2*z^2 + 4139673476812/21987368086761*x*z^3 + 
        16282772164/15656801391*y*z^3 + 3540275559844/21987368086761*z^4,
    x^4 - 5350/2783*x^3*y + 7155625/7745089*x^2*y^2 - 21633994/8796695*x^3*z + 
        165738606624/24481202185*x^2*y*z - 34036426/7745089*x*y^2*z + 
        150527723010429/77381842923025*x^2*z^2 - 
        161467068938/24481202185*x*y*z^2 + 28078033/7745089*y^2*z^2 - 
        41218772820332/77381842923025*x*z^3 + 41324601668/24481202185*y*z^3 + 
        3630084257284/77381842923025*z^4,
    x^4 - 2594/8525*x^3*y + 1682209/72675625*x^2*y^2 + 16876682/1308169*x^3*z - 
        115101664658/33456422175*x^2*y*z + 97884676/218026875*x*y^2*z + 
        53186800536141/1711306132561*x^2*z^2 - 5900490008/608298585*x*y*z^2 + 
        613643372/218026875*y^2*z^2 - 116230215234460/1711306132561*x*z^3 - 
        416077039544/33456422175*y*z^3 + 47431182220900/1711306132561*z^4,
    x^4 - 12098/3839*x^3*y + 36590401/14737921*x^2*y^2 - 
        912434852/922442249*x^3*z - 17406348163702/3541255793911*x^2*y*z + 
        82189330/14737921*x*y^2*z - 780347924186193450/850899702740178001*x^2*z\
        ^2 - 19002345135210/3541255793911*x*y*z^2 + 37394065/14737921*y^2*z^2 + 
        488879205830994524/850899702740178001*x*z^3 - 
        6996527516974/3541255793911*y*z^3 + 287077661162986369/8508997027401780\
        01*z^4,
    x^4 + 62/679*x^3*y + 961/461041*x^2*y^2 - 315141091/82873405*x^3*z - 
        4224507794323/731523545935*x^2*y*z - 12353882/5993533*x*y^2*z + 
        153093734235148641/27472005025176100*x^2*z^2 + 
        5622208866408/731523545935*x*y*z^2 + 11813287/5993533*y^2*z^2 - 
        25563438225585949/6868001256294025*x*z^3 - 
        3144836736869/1463047091870*y*z^3 + 6580038909918721/6868001256294025*z\
        ^4,
    x^4 - 4/77*x^3*y + 4/5929*x^2*y^2 + 1077068/5691*x^3*z + 
        65557210/438207*x^2*y*z - 66718/17787*x*y^2*z + 
        282669728014/32387481*x^2*z^2 - 679661860/1314621*x*y*z^2 + 
        395014/53361*y^2*z^2 - 231814114436/10795827*x*z^3 + 6918846/13279*y*z^3
        + 46322661529/3598609*z^4,
    x^4 - 139/50*x^3*y + 19321/10000*x^2*y^2 + 1496/15*x^3*z + 66397/750*x^2*y*z
        - 26353/15000*x*y^2*z + 556414/225*x^2*z^2 - 75677/2250*x*y*z^2 + 
        44329/90000*y^2*z^2 - 154088/225*x*z^3 + 16141/2250*y*z^3 + 
        10609/225*z^4,
    x^4 - 43/184*x^3*y + 1849/135424*x^2*y^2 + 32998084/1160925*x^3*z - 
        4619187841/213610200*x^2*y*z + 265093/67712*x*y^2*z + 
        290189678508614/1347746855625*x^2*z^2 - 94115479199/640830600*x*y*z^2 + 
        9779363/406272*y^2*z^2 + 766222869052732/4043240566875*x*z^3 - 
        118171203371/1922491800*y*z^3 + 539178756169729/12129721700625*z^4,
    x^4 - 659/182*x^3*y + 434281/132496*x^2*y^2 + 1873324/2142699*x^3*z - 
        1897943461/194985609*x^2*y*z + 2183287/198744*x*y^2*z - 
        6999087260554/4591159004601*x^2*z^2 - 1353531059/129990406*x*y*z^2 + 
        11465945/1192464*y^2*z^2 - 10329326823572/13773477013803*x*z^3 - 
        8015788640/1754870481*y*z^3 + 30403126293409/41320431041409*z^4,
    x^4 - 287/114*x^3*y + 82369/51984*x^2*y^2 + 703768/9519*x^3*z - 
        89868605/1085166*x^2*y*z + 19963/77976*x*y^2*z + 
        129791086102/90611361*x^2*z^2 + 293105243/3255498*x*y*z^2 - 
        10080935/467856*y^2*z^2 + 220643232056/90611361*x*z^3 + 
        3941096191/3255498*y*z^3 + 98292909289/90611361*z^4,
    x^4 - 314/147*x^3*y + 24649/21609*x^2*y^2 + 201539/70140*x^3*z - 
        16799843/5155290*x^2*y*z + 941/86436*x*y^2*z - 
        8373138119/19678478400*x^2*z^2 - 58465535/16496928*x*y*z^2 + 
        4925089/1382976*y^2*z^2 - 35192538641/9839239200*x*z^3 + 
        457362643/82484640*y*z^3 + 30491795161/19678478400*z^4,
    x^4 - 7942/3815*x^3*y + 15768841/14554225*x^2*y^2 - 22912376/9071307*x^3*z +
        26720860037/6921407241*x^2*y*z - 53191361/14554225*x*y^2*z + 
        345804441331301/164577221376498*x^2*z^2 - 
        65725240319/69214072410*x*y*z^2 + 186668281/58216900*y^2*z^2 - 
        52610017300546/82288610688249*x*z^3 - 112472306069/138428144820*y*z^3 + 
        84356124024481/1316617771011984*z^4,
    x^4 + 1879/485*x^3*y + 3530641/940900*x^2*y^2 + 26863409/964859*x^3*z + 
        4990956084/467956615*x^2*y*z - 7179627/940900*x*y^2*z + 
        605307273604909/3723811559524*x^2*z^2 + 31999766343/267403780*x*y*z^2 + 
        45588969/3763600*y^2*z^2 - 115678164162849/265986539966*x*z^3 - 
        276594529581/1871826460*y*z^3 + 18543022557921/75996154276*z^4,
    x^4 - 118/41*x^3*y + 3481/1681*x^2*y^2 - 256532/87863*x^3*z + 
        30018568/3602383*x^2*y*z - 2040/1681*x*y^2*z + 
        21013135086/7719906769*x^2*z^2 - 22434318/3602383*x*y*z^2 + 
        2259/1681*y^2*z^2 - 6658288060/7719906769*x*z^3 + 971200/3602383*y*z^3 +
        673662025/7719906769*z^4,
    x^4 - 122/15*x^3*y + 3721/225*x^2*y^2 + 3070/1823*x^3*z + 
        1629698/9115*x^2*y*z - 39164/225*x*y^2*z - 131167587/3323329*x^2*z^2 - 
        9979848/9115*x*y*z^2 + 97444/225*y^2*z^2 - 112429540/3323329*x*z^3 + 
        11162792/5469*y*z^3 + 1341170884/3323329*z^4,
    x^4 + 929/258*x^3*y + 863041/266256*x^2*y^2 - 1681304/1596031*x^3*z + 
        2690687771/411775998*x^2*y*z + 941561/133128*x*y^2*z - 
        2451539933882/2547314952961*x^2*z^2 + 623101577/411775998*x*y*z^2 + 
        850417/266256*y^2*z^2 + 1663487221512/2547314952961*x*z^3 - 
        90479505/137258666*y*z^3 + 978918296409/2547314952961*z^4,
    x^4 - 97/98*x^3*y + 9409/38416*x^2*y^2 - 1352/44541*x^3*z + 
        2377225/4365018*x^2*y*z - 5849/19208*x*y^2*z - 
        1163577518/1983900681*x^2*z^2 - 6156539/4365018*x*y*z^2 + 
        45649/38416*y^2*z^2 + 17666584/1983900681*x*z^3 - 1386461/4365018*y*z^3 
        + 170746489/1983900681*z^4,
    x^4 + 734/185*x^3*y + 134689/34225*x^2*y^2 - 1925786162/167020035*x^3*z - 
        1590190528946/30898706475*x^2*y*z - 24443292/444925*x*y^2*z + 
        837657041332291021/27895692091401225*x^2*z^2 + 
        22994920878616/133894394725*x*y*z^2 + 1121583044/5784025*y^2*z^2 + 
        172004814825065188/9298564030467075*x*z^3 - 
        7631219734552/401683184175*y*z^3 + 7977468254422276/3099521343489025*z^\
        4,
    x^4 - 543/110*x^3*y + 294849/48400*x^2*y^2 - 9564902/7061703*x^3*z - 
        11072923877/258929110*x^2*y*z + 505377/12100*x*y^2*z - 
        121998632269043/49867649260209*x^2*z^2 - 5558412760/77678733*x*y*z^2 + 
        390721/12100*y^2*z^2 + 1127721075604/573191370807*x*z^3 - 
        4311147858/129464555*y*z^3 + 13900881604/6588406561*z^4,
    x^4 - 39748/18425*x^3*y + 394975876/339480625*x^2*y^2 + 2301/34932125*x^3*z 
        + 746562058324/643624403125*x^2*y*z - 306591988/339480625*x*y^2*z + 
        508147986403101/4881013428062500*x^2*z^2 + 
        586051375013/643624403125*x*y*z^2 + 200357161/339480625*y^2*z^2 + 
        8368002981/2440506714031250*x*z^3 - 36253543461/643624403125*y*z^3 + 
        13225448695761/4881013428062500*z^4,
    x^4 - 256/119*x^3*y + 16384/14161*x^2*y^2 + 15536/8041*x^3*z - 
        791640/956879*x^2*y*z + 19738/14161*x*y^2*z - 165513784/64657681*x^2*z^2
        + 750360/136697*x*y*z^2 - 2651/14161*y^2*z^2 - 218187584/64657681*x*z^3 
        - 2005664/956879*y*z^3 + 197233936/64657681*z^4
];

