Home Online Manual
Top
Back: borderBasis
Forward: rJanet
FastBack:
FastForward:
Up: rstandard_lib
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document

D.15.31.2 modBorder

Procedure from library rstandard.lib (see rstandard_lib).

Usage:
modBorder(I,i); I is an ideal, i an integer.

Return:
ideal, a border basis for I using modular methods.

Purpose:
Computes a border basis for the ideal given by the generators in I using modular techniques.
If second argument is 0 then the result is not verified.

Example:
 
LIB "rstandard.lib";
ring R=0,(x,y,z),ds;
poly f=x3y+x5+x3y2+2x2y3+x2yz2+xy5+x12+y16+z20;
ideal i= jacob(f);
i=i,f;
ideal j=modBorder(i,1);  j;
==> j[1]=y4z20
==> j[2]=y5z19
==> j[3]=xy4z19
==> j[4]=y6z18
==> j[5]=xy5z18
==> j[6]=y3z20
==> j[7]=xy3z19
==> j[8]=xy4z18
==> j[9]=y6z17-14/5y4z19
==> j[10]=xy5z17
==> j[11]=y7z16-1/2y5z18
==> j[12]=xy6z16
==> j[13]=y8z15-2/5y4z19
==> j[14]=y9z14
==> j[15]=xy8z14
==> j[16]=z22
==> j[17]=yz21+10/13y4z19
==> j[18]=xz21
==> j[19]=y2z20
==> j[20]=xyz20
==> j[21]=xy2z19+y4z19
==> j[22]=xy3z18+1/4y5z18
==> j[23]=xy4z17+1/5y4z19
==> j[24]=xy5z16
==> j[25]=y7z15-1/2y5z17+y3z19-37/26y4z19
==> j[26]=xy6z15
==> j[27]=xy7z14
==> j[28]=y9z13
==> j[29]=xy8z13
==> j[30]=xz20
==> j[31]=xyz19+y3z19-37/26y4z19
==> j[32]=xy2z18-y8z14+1/2y6z16
==> j[33]=xy3z17+1/4y5z17-1/2y3z19+37/52y4z19
==> j[34]=xy4z16+1/2y8z14
==> j[35]=xy5z15
==> j[36]=xy6z14
==> j[37]=xy7z13
==> j[38]=y9z12
==> j[39]=xy8z12
==> j[40]=xz19+y2z19+17/12z21-1/3y3z19+37/78y4z19
==> j[41]=xyz18-y7z14+1/2y5z16
==> j[42]=x2z18-5/2y8z14
==> j[43]=xy2z17-y8z13+1/2y6z15
==> j[44]=xy3z16+1/2y7z14
==> j[45]=xy4z15+1/2y8z13
==> j[46]=xy5z14
==> j[47]=xy6z13
==> j[48]=xy7z12
==> j[49]=y9z11
==> j[50]=xy8z11
==> j[51]=xyz17-y7z13+1/2y5z15
==> j[52]=x2z17-5/2y8z13
==> j[53]=xy2z16-y8z12+1/2y6z14
==> j[54]=xy3z15+1/2y7z13
==> j[55]=xy4z14+1/2y8z12
==> j[56]=xy5z13
==> j[57]=xy6z12
==> j[58]=xy7z11
==> j[59]=y9z10
==> j[60]=xy8z10
==> j[61]=xyz16-y7z12+1/2y5z14
==> j[62]=x2z16-5/2y8z12
==> j[63]=xy2z15-y8z11+1/2y6z13
==> j[64]=xy3z14+1/2y7z12
==> j[65]=xy4z13+1/2y8z11
==> j[66]=xy5z12
==> j[67]=xy6z11
==> j[68]=xy7z10
==> j[69]=y9z9
==> j[70]=xy8z9
==> j[71]=xyz15-y7z11+1/2y5z13
==> j[72]=x2z15-5/2y8z11
==> j[73]=xy2z14-y8z10+1/2y6z12
==> j[74]=xy3z13+1/2y7z11
==> j[75]=xy4z12+1/2y8z10
==> j[76]=xy5z11
==> j[77]=xy6z10
==> j[78]=xy7z9
==> j[79]=y9z8
==> j[80]=xy8z8
==> j[81]=xyz14-y7z10+1/2y5z12
==> j[82]=x2z14-5/2y8z10
==> j[83]=xy2z13-y8z9+1/2y6z11
==> j[84]=xy3z12+1/2y7z10
==> j[85]=xy4z11+1/2y8z9
==> j[86]=xy5z10
==> j[87]=xy6z9
==> j[88]=xy7z8
==> j[89]=y9z7
==> j[90]=xy8z7
==> j[91]=xyz13-y7z9+1/2y5z11
==> j[92]=x2z13-5/2y8z9
==> j[93]=xy2z12-y8z8+1/2y6z10
==> j[94]=xy3z11+1/2y7z9
==> j[95]=xy4z10+1/2y8z8
==> j[96]=xy5z9
==> j[97]=xy6z8
==> j[98]=xy7z7
==> j[99]=y9z6
==> j[100]=xy8z6
==> j[101]=xyz12-y7z8+1/2y5z10
==> j[102]=x2z12-5/2y8z8
==> j[103]=xy2z11-y8z7+1/2y6z9
==> j[104]=xy3z10+1/2y7z8
==> j[105]=xy4z9+1/2y8z7
==> j[106]=xy5z8
==> j[107]=xy6z7
==> j[108]=xy7z6
==> j[109]=y9z5
==> j[110]=xy8z5
==> j[111]=xyz11-y7z7+1/2y5z9
==> j[112]=x2z11-5/2y8z7
==> j[113]=xy2z10-y8z6+1/2y6z8
==> j[114]=xy3z9+1/2y7z7
==> j[115]=xy4z8+1/2y8z6
==> j[116]=xy5z7
==> j[117]=xy6z6
==> j[118]=xy7z5
==> j[119]=y9z4
==> j[120]=xy8z4
==> j[121]=xyz10-y7z6+1/2y5z8
==> j[122]=x2z10-5/2y8z6
==> j[123]=xy2z9-y8z5+1/2y6z7
==> j[124]=xy3z8+1/2y7z6
==> j[125]=xy4z7+1/2y8z5
==> j[126]=xy5z6
==> j[127]=xy6z5
==> j[128]=xy7z4
==> j[129]=y9z3
==> j[130]=xy8z3
==> j[131]=xyz9-y7z5+1/2y5z7
==> j[132]=x2z9-5/2y8z5
==> j[133]=xy2z8-y8z4+1/2y6z6
==> j[134]=xy3z7+1/2y7z5
==> j[135]=xy4z6+1/2y8z4
==> j[136]=xy5z5
==> j[137]=xy6z4
==> j[138]=xy7z3
==> j[139]=y9z2
==> j[140]=xy8z2
==> j[141]=xyz8-y7z4+1/2y5z6
==> j[142]=x2z8-5/2y8z4
==> j[143]=xy2z7-y8z3+1/2y6z5
==> j[144]=xy3z6+1/2y7z4
==> j[145]=xy4z5+1/2y8z3
==> j[146]=xy5z4
==> j[147]=xy6z3
==> j[148]=xy7z2
==> j[149]=y9z+10y4z19
==> j[150]=xy8z
==> j[151]=xyz7-y7z3+1/2y5z5
==> j[152]=x2z7-5/2y8z3-13/3z21-10/3y3z19+185/39y4z19
==> j[153]=xy2z6-y8z2+1/2y6z4
==> j[154]=x2yz6
==> j[155]=x3z6
==> j[156]=xy3z5+1/2y7z3
==> j[157]=xy4z4+1/2y8z2
==> j[158]=xy5z3
==> j[159]=xy6z2
==> j[160]=xy7z-10y4z19
==> j[161]=y9-13yz20
==> j[162]=xy8
==> j[163]=xyz6-y7z2+1/2y5z4
==> j[164]=xy2z5-y8z+1/2y6z3-10y3z19+680/13y4z19
==> j[165]=x2yz5
==> j[166]=x3z5+13/3z21+10/3y3z19-185/39y4z19
==> j[167]=xy3z4+1/2y7z2
==> j[168]=xy4z3+1/2y8z+5y3z19-265/13y4z19
==> j[169]=xy5z2
==> j[170]=xy6z-10y3z19+35/13y4z19
==> j[171]=xy7+13yz20
==> j[172]=xyz5-y7z+1/2y5z3-10y2z19-5/6z21+155/3y3z19-1505/78y4z19
==> j[173]=xy2z4-y8+1/2y6z2-3x2z6+15/2y8z2+13z20-99/2yz20
==> j[174]=x2yz4
==> j[175]=x3z4+x2z6-5/2y8z2
==> j[176]=xy3z3+1/2y7z+5y2z19-5/3z21-65/3y3z19+370/39y4z19
==> j[177]=x2y2z3-100/13y4z19
==> j[178]=xy4z2+1/2y8+3/2x2z6-15/4y8z2-13/2z20+69/4yz20
==> j[179]=xy5z-10y2z19+5/6z21+10/3y3z19-185/39y4z19
==> j[180]=xy6-3x2z6+15/2y8z2+13z20+15yz20
==> j[181]=x2yz3+10z21
==> j[182]=x3z3+x2z5-5/2y8z-25y3z19+1925/13y4z19
==> j[183]=xy3z2+1/2xyz4+1/4y5z2+5/4x2z6-25/8y8z2-15/2z20-15/2yz20
==> j[184]=x2y2z2+10yz20
==> j[185]=xy4z+1/2xy2z3+1/4y6z-15/2yz19-15/2y2z19-25/2y4z19
==> j[186]=xy5-xyz4+y7-1/2y5z2-29/2x2z6+145/4y8z2+129/2z20+141/2yz20
==> j[187]=x2y4+3x2z6-15/2y8z2-13z20-37/2yz20
==> j[188]=x2yz2+10z20
==> j[189]=x3z2+x2z4-5/2y8-15/2x2z6+75/4y8z2+65/2z20-585/4yz20
==> j[190]=xy3z+1/2xyz3+1/4y5z+5/4x2z5-25/8y8z-15/2z19-15/2yz19-175/4y3z19+16\
   475/52y4z19
==> j[191]=x2y2z+10yz19
==> j[192]=x2y3+xyz4-y7+1/2y5z2+31/2x2z6-155/4y8z2-68z20-141/2yz20
==> j[193]=x2yz+10z19
==> j[194]=x3z+x2z3-5/2xy2z3-5/4y6z-45/2yz19+115/2y2z19+85/3z21-20/3y3z19+561\
   5/78y4z19
==> j[195]=x2y2+4/3xy4+2/3xy2z2+1/3y6-xyz4+y7-1/2y5z2-31/2x2z6+155/4y8z2+68z2\
   0+553/6yz20
==> j[196]=x2y+4/3xy3+2/3xyz2-4/3xy4+1/3y5-2/3xy2z2-1/3y6+5/3x2z4+xyz4-y7+1/2\
   y5z2-25/6y8-2x2z6+5y8z2+47/6z20-6401/12yz20
==> j[197]=x3+x2z2-3xy4-4xy2z2-2y6+8xyz4-8y7+4y5z2+122x2z6-305y8z2-507z20-694\
   yz20
ring S=0,(x,y,z),ds;
ideal i=
3x2+6xy+3y2+6xz+6yz+3z2+3x2yz+4xy2z+y3z+4xyz2+2y2z2+yz3+10x9,
3x2+6xy+3y2+6xz+6yz+3z2+x3z+4x2yz+3xy2z+2x2z2+4xyz2+xz3+10y9,
3x2+6xy+3y2+6xz+6yz+3z2+x3y+2x2y2+xy3+4x2yz+4xy2z+3xyz2+10z9;
ideal j=modBorder(i,0);  j;
==> j[1]=z25
==> j[2]=yz24
==> j[3]=xz24
==> j[4]=yz23+1/2z24
==> j[5]=xz23+1/2z24
==> j[6]=y2z22+1/2z24
==> j[7]=xyz22-z24
==> j[8]=xz22+yz22+z23
==> j[9]=y2z21+yz22+z23
==> j[10]=xyz21-z23
==> j[11]=xz21+yz21+z22
==> j[12]=y2z20+yz21+z22
==> j[13]=xyz20-z22
==> j[14]=xz20+yz20+z21
==> j[15]=y2z19+yz20+z21
==> j[16]=xyz19-z21
==> j[17]=xz19+yz19+z20
==> j[18]=y2z18+yz19+z20
==> j[19]=xyz18-z20
==> j[20]=xz18+yz18+z19+5z24
==> j[21]=y2z17+yz18+z19-22805/228z24
==> j[22]=xyz17-z19+22235/228z24
==> j[23]=xz17+yz17+z18+5z23
==> j[24]=y2z16+yz17+z18+5yz22-22235/228z23+3371625/32z24
==> j[25]=xyz16-z18+22235/228z23-3371625/32z24
==> j[26]=y3z15-z18+13985/228yz22+40345/228z23-10114875/64z24
==> j[27]=xy2z15-yz17-16265/228yz22-9625/114z23+3371625/64z24
==> j[28]=xz16+yz16+z17+5z22
==> j[29]=xyz15+y2z15+yz16+5yz21
==> j[30]=y3z14+3/2y2z15+3/2yz16+1/2z17+15695/228yz21+13985/456z22-70875/32yz\
   22-70875/64z23
==> j[31]=xy2z14-1/2y2z15-3/2yz16-1/2z17-16835/228yz21-16265/456z22+70875/32y\
   z22+70875/64z23
==> j[32]=y4z13-39/35y2z15-74/35yz16-39/35z17-114311/798yz21-126587/1596z22+7\
   0875/16yz22-7729425/224z23+14531794875/896z24
==> j[33]=xy3z13-27/70y2z15+43/70yz16+43/70z17+118757/1596yz21+171239/3192z22\
   -70875/32yz22+15954975/448z23-14531794875/896z24
==> j[34]=xz15+yz15+z16+5z21-151575/8z24
==> j[35]=xyz14+y2z14+yz15+5yz20+151575/16z24
==> j[36]=xy2z13+y3z13+y2z14-5yz20-5z21-111675/16z24
==> j[37]=y4z12+2y3z13+66/35y2z14+31/35yz15-4/35z16-512487/2156y2z15-512487/2\
   156yz16-512487/2156z17-39/7yz20-2391/133z21-2562435/2156yz21-58384395/431\
   2z22-4757545125/539z23+913078227343185/327712z24
==> j[38]=xy3z12-y3z13-66/35y2z14-31/35yz15+4/35z16+512487/2156y2z15+512487/2\
   156yz16+512487/2156z17+39/7yz20+3056/133z21+2562435/2156yz21+58384395/431\
   2z22+4757545125/539z23-913076348631735/327712z24
==> j[39]=y5z11-30/17y3z13-281/119y2z14-162/119yz15+48/119z16+2562435/4312y2z\
   15+2562435/4312yz16+2562435/4312z17+8140/357yz20+354395/6783z21+823087575\
   /146608yz21+10312820775/293216z22-39639375/2176yz22+51740725336875/234572\
   8z23-77611672933260075/11142208z24
==> j[40]=xy4z11-4/17y3z13+283/595y2z14+283/595yz15-172/595z16-1537461/4312y2\
   z15-1537461/4312yz16-1537461/4312z17-4366/357yz20-232454/6783z21-64884199\
   5/146608yz21-6342681915/293216z22+39639375/2176yz22-31035888952875/234572\
   8z23+46566963638175885/11142208z24
==> j[41]=y6z10+5/17y3z13+78/119y2z14+78/119yz15-76/119z16-3144177/4312y2z15-\
   3144177/4312yz16-3144177/4312z17-4825/119yz20-183885/2261z21-1696930965/1\
   46608yz21-13353125805/293216z22+118918125/2176yz22-65428421864625/2345728\
   z23+199935960229764075/22284416z24
==> j[42]=y7z9+232/187y3z13+348/187y2z14+161/187yz15+116/187z16+41553/88y2z15\
   +41553/88yz16+41553/88z17+7785/187yz20+290710/3553z21+42390135/2992yz21+1\
   97137395/5984z22-2972953125/23936yz22+977771887875/47872z23-6387511968556\
   275/909568z24
==> j[43]=xy6z9-287/187y3z13-3294/1309y2z14-1985/1309yz15+24/1309z16+138510/5\
   39y2z15+138510/539yz16+138510/539z17-1420/1309yz20+112120/24871z21-190092\
   825/73304yz21+1846696725/146608z22+832426875/11968yz22+8758799679375/1172\
   864z23-86883916940081475/44568832z24
==> j[44]=xz14+yz14+z15+5z20-151575/8z23+647139375/64z24
==> j[45]=xyz13+y2z13+yz14+5yz19+23925/8yz22+43875/4z23-647139375/128z24
==> j[46]=xy2z12+y3z12+y2z13-5yz19-5z20-23925/8yz22-8475z23+319696875/128z24
==> j[47]=xy3z11+y4z11+y3z12+5z20+16875/8yz22+13575/2z23-155975625/128z24
==> j[48]=y5z10+5/2y4z11+55/17y3z12+40/17y2z13+29/34yz14+2/17z15-438615/12716\
   y3z13-1315845/25432y2z14-1315845/25432yz15-438615/25432z16+905/102yz19+74\
   5/102z20+1707075/6358yz20+13407525/50864z21+2959284375/50864yz21+29592843\
   75/101728z22-7018033348175/406912yz22-7019757749975/813824z23+82848936375\
   /813824z24
==> j[49]=xy4z10-3/2y4z11-55/17y3z12-40/17y2z13-29/34yz14-2/17z15+438615/1271\
   6y3z13+1315845/25432y2z14+1315845/25432yz15+438615/25432z16-395/102yz19-7\
   45/102z20-1707075/6358yz20-13407525/50864z21-2959284375/50864yz21-2959284\
   375/101728z22+7017533609375/406912yz22+7015637765975/813824z23+3391275498\
   75/813824z24
==> j[50]=xy5z9+y6z9-5/2y4z11-55/17y3z12-40/17y2z13-29/34yz14-2/17z15+438615/\
   12716y3z13+1315845/25432y2z14+1315845/25432yz15+438615/25432z16-1415/102y\
   z19-1255/102z20-1707075/6358yz20-13407525/50864z21-2959284375/50864yz21-2\
   959284375/101728z22+7018189754975/406912yz22+7022473887575/813824z23-1707\
   20470125/813824z24
==> j[51]=y7z8+7/2y6z9-35/4y4z11-2848/187y3z12-4617/374y2z13-3437/748yz14-115\
   /187z15+58551255/279752y3z13+175653765/559504y2z14+175653765/559504yz15+5\
   8551255/559504z16-38545/748yz19-34055/748z20-107445825/69938yz20-17378354\
   25/1119008z21-443675323125/1119008yz21-443675323125/2238016z22+5625720982\
   51725/8952064yz22+562790878490325/17904128z23-4547863128375/17904128z24
==> j[52]=xy6z8-5/2y6z9+35/4y4z11+2848/187y3z12+4617/374y2z13+3437/748yz14+11\
   5/187z15-58551255/279752y3z13-175653765/559504y2z14-175653765/559504yz15-\
   58551255/559504z16+38545/748yz19+37795/748z20+107445825/69938yz20+1737835\
   425/1119008z21+443675323125/1119008yz21+443675323125/2238016z22-562568321\
   599725/8952064yz22-562820420301525/17904128z23+2614689385875/17904128z24
==> j[53]=y8z7-878/141y6z9+9877/517y4z11+915172/26367y3z12+253943/8789y2z13+9\
   4823/8789yz14+37210/26367z15-847642725/1643543y3z13-2534922297/3287086y2z\
   14-2534922297/3287086yz15-839636847/3287086z16+5435755695/3503192y2z15+54\
   35755695/3503192yz16+5435755695/3503192z17+1063395/8789yz19+5880395/52734\
   z20+6007578570/1643543yz20+25156075905/6574172z21+1064589124796775/101242\
   2488yz21+1075884396851925/2024844976z22-2383632331137825/26296688yz22+103\
   195950091159325/1012422488z23-274018430271493924425/16198759808z24
==> j[54]=xy7z7+769/282y6z9-21413/2068y4z11-30212/1551y3z12-17111/1034y2z13-1\
   2809/2068yz14-1235/1551z15+237013695/773432y3z13+707273613/1546864y2z14+7\
   07273613/1546864yz15+233246223/1546864z16-5435755695/3503192y2z15-5435755\
   695/3503192yz16-5435755695/3503192z17-133305/2068yz19-409355/6204z20-4097\
   17845/193358yz20-639413595/281248z21-156040912046925/238217056yz21-158698\
   623118725/476434112z22+688041879438525/24749824yz22-508310646770040175/38\
   11472896z23+64476566767453351725/3811472896z24
==> j[55]=xz13+yz13+z14-20007/154y2z15-20007/154yz16-20007/154z17+5z19-100035\
   /154yz21-1933395/308z22-4406592375/1232z23+576566423518975/561792z24
==> j[56]=xyz12+y2z12+yz13+20007/308y2z15+20007/308yz16+20007/308z17+5yz18+20\
   42295/616yz21+5709015/1232z22+2581875/64yz22+17825173875/9856z23-57656547\
   5494975/1123584z24
==> j[57]=xy2z11+y3z11+y2z12-13851/308y2z15-13851/308yz16-13851/308z17-5yz18-\
   5z19-1980735/616yz21-5038095/1232z22-2581875/64yz22-22282522875/9856z23+9\
   15874327042225/1123584z24
==> j[58]=xy3z10+y4z10+y3z11+1539/44y2z15+1539/44yz16+1539/44z17+5z19+201015/\
   88yz21+594255/176z22+7745625/64yz22+3558400875/1408z23-77537732695475/802\
   56z24
==> j[59]=xy4z9+y5z9+y4z10-7695/308y2z15-7695/308yz16-7695/308z17+5yz18-83347\
   5/616yz21-3235275/1232z22-12909375/64yz22-21828234375/9856z23+92636468662\
   2125/1123584z24
==> j[60]=xy5z8+y6z8+y5z9+4617/308y2z15+4617/308yz16+4617/308z17-5yz18-5z19+2\
   82945/616yz21+2310765/1232z22+13820625/64yz22+15566792625/9856z23-6027924\
   06737525/1123584z24
==> j[61]=xy6z7+y7z7+y6z8-1539/308y2z15-1539/308yz16-1539/308z17+5z19+244485/\
   616yz21-1432455/1232z22-10479375/64yz22-7060030875/9856z23+10437976377287\
   5/561792z24
==> j[62]=y8z6+4y7z7+1096/141y6z8+438/47y5z9+3827/517y4z10+130/33y3z11+745/51\
   7y2z12+185/517yz13+74/1551z14-626565/48598y6z9+36597195/1069156y4z11+2938\
   45620/4543913y3z12+531935685/9087826y2z13+441719055/18175652yz14+30706050\
   /4543913z15-824462422425/617972168y3z13+11079250419375/13595387696y2z14+1\
   1079250419375/13595387696yz15+29217423712725/13595387696z16+6498875861433\
   477/3622300528y2z15+6498875861433477/3622300528yz16+6498875861433477/3622\
   300528z17-115/47yz18-715/282z19+568770225/1652332yz19+75725325/150212z20+\
   83154721712625/3398846924yz20+2507243939897625/27190775392z21+23491579901\
   268980805/2093689705184yz21+16367386229217586595/523422426296z22-13196224\
   488747115125/19775109376yz22+1268637865899370688210625/8374758820736z23-1\
   7691473521227817276849545175/904473952639488z24
==> j[63]=xy7z6-3y7z7-1096/141y6z8-438/47y5z9-3827/517y4z10-130/33y3z11-745/5\
   17y2z12-185/517yz13-74/1551z14+626565/48598y6z9-36597195/1069156y4z11-293\
   845620/4543913y3z12-531935685/9087826y2z13-441719055/18175652yz14-3070605\
   0/4543913z15+824462422425/617972168y3z13-11079250419375/13595387696y2z14-\
   11079250419375/13595387696yz15-29217423712725/13595387696z16-649889396117\
   5401/3622300528y2z15-6498893961175401/3622300528yz16-6498893961175401/362\
   2300528z17+350/47yz18+715/282z19-568770225/1652332yz19-75725325/150212z20\
   -83154721712625/3398846924yz20-2507243939897625/27190775392z21-2349420352\
   2192320265/2093689705184yz21-32734262338246025995/1046844852592z22+131967\
   40688623697625/19775109376yz22-634320342549593324852625/4187379410368z23+\
   336141189847485260140967097625/17185005100150272z24
==> j[64]=y9z5-52/5y7z7-6904/235y6z8-10137/235y5z9-20582/517y4z10-1327/55y3z1\
   1-25293/2585y2z12-7006/2585yz13-1072/2585z14+5639085/97196y6z9-329374755/\
   2138312y4z11-1284909129/4543913y3z12-4563044199/18175652y2z13-3526717563/\
   36351304yz14-238958289/9087826z15+7263199915155/1235944336y3z13-104892996\
   034485/27190775392y2z14-104892996034485/27190775392yz15-264683394167895/2\
   7190775392z16-292449214667345301/36223005280y2z15-292449214667345301/3622\
   3005280yz16-292449214667345301/36223005280z17+377/94yz18+689/47z19-491972\
   4405/3304664yz19-7499192895/3304664z20-465864054810075/3398846924yz20-232\
   72639204604175/54381550784z21-210513611918733814743/4187379410368yz21-588\
   763946311409477793/4187379410368z22+10568763114146744625/3595474432yz22-2\
   2836546608337302729045625/33499035282944z23+33613907149852300781381322425\
   5/3818890022255616z24
==> j[65]=xy8z5+32/5y7z7+15232/705y6z8+7947/235y5z9+16755/517y4z10+3331/165y3\
   z11+21568/2585y2z12+6081/2585yz13+2846/7755z14-4385955/97196y6z9+25618036\
   5/2138312y4z11+991063509/4543913y3z12+3499172829/18175652y2z13+2643279453\
   /36351304yz14+177546189/9087826z15-510388642755/112358576y3z13+8273449519\
   5735/27190775392y2z14+82734495195735/27190775392yz15+206248546742445/2719\
   0775392z16+227460999045268251/36223005280y2z15+227460999045268251/3622300\
   5280yz16+227460999045268251/36223005280z17-617/94yz18-4829/282z19+3438349\
   05/300424yz19+5833235745/3304664z20+191354666548725/1699423462yz20+182581\
   51324808925/54381550784z21+163539441692436671493/4187379410368yz21+457825\
   644211426125893/4187379410368z22-89855404516525595625/39550218752yz22+177\
   62048053885050003338625/33499035282944z23-2352994088872107067347530909545\
   /34370010200300544z24
==> j[66]=y10z4+22y7z7+10142/141y6z8+5489/47y5z9+5475/47y4z10+226/3y3z11+1503\
   /47y2z12+436/47yz13+212/141z14-970935/8836y6z9+54553185/194392y4z11+20150\
   2425/413083y3z12+709272945/1652332y2z13+491141745/3304664yz14+42414045/82\
   6166z15-13268790182475/1235944336y3z13+326186439486885/17303220704y2z14+3\
   26186439486885/17303220704yz15+511949502041535/17303220704z16+20533149915\
   4193607/9220401344y2z15+205331499154193607/9220401344yz16+205331499154193\
   607/9220401344z17+1015/94yz18-11195/282z19+9119149125/3304664yz19+1612626\
   9975/3304664z20+1722252380149575/4325805176yz20+40486832246297475/3460644\
   1408z21+86222628281316862035/666173997104yz21+3827600153784459109735/1065\
   8783953664z22-212431074992817667875/39550218752yz22+162431268984322756306\
   439625/85270271629312z23-5310151622816439181656857454575/2187182467291852\
   8z24
==> j[67]=y11z3-44y7z7-21428/141y6z8-12122/47y5z9-12530/47y4z10-532/3y3z11-35\
   81/47y2z12-1058/47yz13-536/141z14+640905/8836y6z9-25563555/194392y4z11-35\
   2065/2209y3z12-1435545/8836y2z13-6018435/194392yz14-334095/4418z15+453354\
   657075/72702608y3z13-67922428047615/1017836512y2z14-67922428047615/101783\
   6512yz15-74269393246665/1017836512z16-893884195353597003/18440802688y2z15\
   -893884195353597003/18440802688yz16-893884195353597003/18440802688z17-283\
   5/47yz18+22385/282z19-395171175/194392yz19-1172470725/194392z20-360596839\
   248225/508918256yz20-4892289394562775/2035673024z21-79258578474346178505/\
   313493645696yz21-861603516867110968945/1253974582784z22+72716568119281608\
   75/2326483456yz22-42411391510222913195424375/10031796662272z23+6799137804\
   17072973197368315825/1286577921936384z24
==> j[68]=xy10z3+22y7z7+3762/47y6z8+6633/47y5z9+7055/47y4z10+102y3z11+2078/47\
   y2z12+622/47yz13+108/47z14+165015/4418y6z9-14494815/97196y4z11-135666270/\
   413083y3z12-220413015/826166y2z13-194414175/1652332yz14+10030860/413083z1\
   5+695220126525/154493042y3z13+37658856241935/786510032y2z14+3765885624193\
   5/786510032yz15+375315091575885/8651610352z16+483221842054194717/18440802\
   688y2z15+483221842054194717/18440802688yz16+483221842054194717/1844080268\
   8z17+5125/94yz18-1865/47z19-1200619575/1652332yz19+1902866175/1652332z20+\
   2685641506920675/8651610352yz20+10670521865317425/8651610352z21+657636174\
   738694524465/5329391976832yz21+6992094684045264300435/21317567907328z22+5\
   553968548621501125/2471888672yz22+396131943695600228635027125/17054054325\
   8624z23-1041400629215382738611919651175/3645304112153088z24
==> j[69]=xz12+yz12+z13+572/423y6z9-640/141y4z11-62420/7191y3z12-18392/2397y2\
   z13-2504/799yz14-2480/7191z15+1900665/13583y3z13+361663461/2091782y2z14+3\
   61663461/2091782yz15+68961051/2091782z16-8853766965/1114652y2z15-88537669\
   65/1114652yz16-8853766965/1114652z17+5z18-212420/7191yz19-68020/2397z20-1\
   332663435/1045891yz20-8824397565/4183564z21-44412306927525/161067214yz21-\
   196723166744925/322134428z22+91232350818875/1303968yz22-85182191428382527\
   225/293786598336z23+2704144027538175568425/20616603392z24
==> j[70]=xyz11+y2z11+yz12-286/423y6z9+320/141y4z11+31210/7191y3z12+9196/2397\
   y2z13+1252/799yz14+1240/7191z15-15577245/149413y3z13-144213534/1045891y2z\
   14-144213534/1045891yz15-3197529/95081z16+8853766965/2229304y2z15+8853766\
   965/2229304yz16+8853766965/2229304z17+5yz17+106210/7191yz19+34010/2397z20\
   +240968535/190162yz20+1567041480/1045891z21+327495838518225/1288537712yz2\
   1+936739277787825/2577075424z22-41631712161551725/1090117248yz22+16848071\
   2635652233925/1175146393344z23-2704164384351779233425/41233206784z24
==> j[71]=xy2z10+y3z10+y2z11+286/423y6z9-320/141y4z11-31210/7191y3z12-9196/23\
   97y2z13-1252/799yz14-1240/7191z15+15577245/149413y3z13+23588253/149413y2z\
   14+23588253/149413yz15+8011008/149413z16-2186449605/318472y2z15-218644960\
   5/318472yz16-2186449605/318472z17-5yz17-5z18-106210/7191yz19-34010/2397z2\
   0-348801645/298826yz20-284992095/298826z21-49448618214075/184076816yz21-1\
   96416565735275/368153632z22+41631071717668525/1090117248yz22-245593810261\
   51879675/167878056192z23+309646295518591584225/5890458112z24
==> j[72]=xy3z9+y4z9+y3z10-286/423y6z9+320/141y4z11+31210/7191y3z12+9196/2397\
   y2z13+1252/799yz14+1240/7191z15-13527810/149413y3z13-154050822/1045891y2z\
   14-154050822/1045891yz15-59356152/1045891z16+9265418685/1114652y2z15+9265\
   418685/1114652yz16+9265418685/1114652z17+5z18+106210/7191yz19+34010/2397z\
   20+1234402740/1045891yz20+1383637755/2091782z21+105070137902325/322134428\
   yz21+414705570236775/644268856z22-6168510692255975/136264656yz22+66200788\
   7526707950/4590415599z23-949601768600740724325/20616603392z24
==> j[73]=xy4z8+y5z8+y4z9+286/423y6z9-320/141y4z11-31210/7191y3z12-9196/2397y\
   2z13-1252/799yz14-1240/7191z15+11478375/149413y3z13+142983873/1045891y2z1\
   4+142983873/1045891yz15+62635248/1045891z16-13234976775/2229304y2z15-1323\
   4976775/2229304yz16-13234976775/2229304z17+5yz17-106210/7191yz19-34010/23\
   97z20-2495999445/2091782yz20-31540410/95081z21-469793494110375/1288537712\
   yz21-1411221542610375/2577075424z22+57065153864289475/1090117248yz22-1254\
   8681666592952425/391715464448z23+696060504549723377475/41233206784z24
==> j[74]=xy5z7+y6z7+y5z8-286/423y6z9+320/141y4z11+31210/7191y3z12+9196/2397y\
   2z13+1252/799yz14+1240/7191z15-9428940/149413y3z13-131916924/1045891y2z14\
   -131916924/1045891yz15-65914344/1045891z16+3678340815/2229304y2z15+367834\
   0815/2229304yz16+3678340815/2229304z17-5yz17-5z18+106210/7191yz19+34010/2\
   397z20+2601635235/2091782yz20+4140285/2091782z21+421375504864725/12885377\
   12yz21+812249983763325/2577075424z22-79973440545621125/1090117248yz22-167\
   063188394749078475/1175146393344z23+974495213822460648825/41233206784z24
==> j[75]=xy6z6+y7z6+y6z7+286/423y6z9-320/141y4z11-31210/7191y3z12-9196/2397y\
   2z13-1252/799yz14-1240/7191z15+7379505/149413y3z13+120849975/1045891y2z14\
   +120849975/1045891yz15+69193440/1045891z16+4568267565/1114652y2z15+456826\
   7565/1114652yz16+4568267565/1114652z17+5z18-106210/7191yz19-34010/2397z20\
   -1392856425/1045891yz20+607166625/2091782z21-138961955560275/644268856yz2\
   1+3246371081325/1288537712z22+59036431911624575/545058624yz22+42739607320\
   93934325/10308301696z23-424081801037561315625/5154150848z24
==> j[76]=xy7z5+y8z5+y7z6-286/423y6z9+320/141y4z11+31210/7191y3z12+9196/2397y\
   2z13+1252/799yz14+1240/7191z15-5330070/149413y3z13-109783026/1045891y2z14\
   -109783026/1045891yz15-72472536/1045891z16-1123108335/101332y2z15-1123108\
   335/101332yz16-1123108335/101332z17+5yz17+106210/7191yz19+34010/2397z20+2\
   969790465/2091782yz20-570015855/1045891z21+373302122175/29284948yz21-2281\
   0656626775/58569896z22-50436732640756175/272529312yz22-545752583844195702\
   5/6676968144z23+608955833646803601675/3748473344z24
==> j[77]=y9z4+9/2y8z5+38/5y7z6+28/5y6z7-6/5y5z8-13/2y4z9-32/5y3z10-33/10y2z1\
   1-11/10yz12-1/5z13-243/10y7z7-1701/20y6z8-1863/20y5z9-81/4y4z10+1539/20y3\
   z11+1863/20y2z12+891/20yz13+81/10z14-1573/2115y6z9+352/141y4z11-157814630\
   /79101y3z12-789848639/263670y2z13-263502293/87890yz14-158162263/158202z15\
   +403948702323/13148344y3z13+8474527251387/184076816y2z14+8474527251387/18\
   4076816yz15+2819245418865/184076816z16-2277893907/253330y2z15-2277893907/\
   253330yz16-2277893907/253330z17-7yz17+13/4z18+486yz18+1701/4z19-231480772\
   3/158202yz19+5037026/26367z20+603143500229535/92038408yz20+11634440010787\
   95/368153632z21-134266161760124013/2577075424yz21-137028452905078101/5154\
   150848z22+1114271066009961257735/71947738368yz22+51874457100139726934015/\
   7050878360064z23+276524393448922094247795/1566861857792z24
==> j[78]=xy8z4-7/2y8z5-38/5y7z6-28/5y6z7+6/5y5z8+13/2y4z9+32/5y3z10+33/10y2z\
   11+11/10yz12+1/5z13+243/10y7z7+1701/20y6z8+1863/20y5z9+81/4y4z10-1539/20y\
   3z11-1863/20y2z12-891/20yz13-81/10z14+1001/705y6z9-224/47y4z11+52490440/2\
   6367y3z12+262945693/87890y2z13+263364573/87890yz14+52711661/52734z15-4036\
   60006443/13148344y3z13-8457153221835/184076816y2z14-8457153221835/1840768\
   16yz15-2805913131633/184076816z16+317919689883/11146520y2z15+317919689883\
   /11146520yz16+317919689883/11146520z17+2yz17-33/4z18-486yz18-1701/4z19+77\
   0823701/52734yz19-1803712/8789z20-603278818984755/92038408yz20-1163149571\
   242875/368153632z21+135044223950364363/2577075424yz21+141273988656213051/\
   5154150848z22-1090420035071554691885/71947738368yz22-41792722244763474154\
   565/7050878360064z23-685099534954253407593345/1566861857792z24
==> j[79]=xy9z3+y10z3-9/2y8z5-38/5y7z6-28/5y6z7+6/5y5z8+13/2y4z9+32/5y3z10+33\
   /10y2z11+11/10yz12+1/5z13+243/10y7z7+1701/20y6z8+1863/20y5z9+81/4y4z10-15\
   39/20y3z11-1863/20y2z12-891/20yz13-81/10z14+143/2115y6z9-32/141y4z11+1581\
   57940/79101y3z12+790860199/263670y2z13+263640013/87890yz14+158189543/1582\
   02z15-404057047923/13148344y3z13-8489953497915/184076816y2z14-84899534979\
   15/184076816yz15-2833154826993/184076816z16-232919344017/11146520y2z15-23\
   2919344017/11146520yz16-232919344017/11146520z17+7yz17+7/4z18-486yz18-170\
   1/4z19+2317144343/158202yz19-4662916/26367z20-603006984939855/92038408yz2\
   0-1163846020930875/368153632z21+132236704098135963/2577075424yz21+1303312\
   19207468751/5154150848z22-1159686946509974573885/71947738368yz22-68677251\
   539404951638665/7050878360064z23+303844033154752813237905/1566861857792z2\
   4
==> j[80]=y11z2+11/2y10z3-165/4y8z5-88y7z6-77y6z7+275/4y4z9+149/2y3z10+161/4y\
   2z11+55/4yz12+5/2z13+1701/4y7z7+11907/8y6z8+13041/8y5z9+2835/8y4z10-10773\
   /8y3z11-13041/8y2z12-6237/8yz13-567/4z14+7865/846y6z9-4400/141y4z11+27636\
   44230/79101y3z12+5531165905/105468y2z13+1844819035/35156yz14+5535979285/3\
   16404z15-14155627908105/26296688y3z13-297065656926729/368153632y2z14-2970\
   65656926729/368153632yz15-98886866213259/368153632z16+467371398141/445860\
   8y2z15+467371398141/4458608yz16+467371398141/4458608z17+100yz17-275/8z18-\
   8505yz18-59535/8z19+81043973125/316404yz19-86090350/26367z20-211109592183\
   47385/184076816yz20-40725259662179865/736307264z21+4706734673877922755/51\
   54150848yz21+4766400819649905885/10308301696z22-2049414034886720541775/75\
   73446144yz22-1836647027390449275817975/14101756720128z23-6941017444566613\
   228827975/3133723715584z24
==> j[81]=xy10z2-9/2y10z3+165/4y8z5+88y7z6+77y6z7-275/4y4z9-149/2y3z10-161/4y\
   2z11-55/4yz12-5/2z13-1701/4y7z7-11907/8y6z8-13041/8y5z9-2835/8y4z10+10773\
   /8y3z11+13041/8y2z12+6237/8yz13+567/4z14-2431/282y6z9+1360/47y4z11-921329\
   180/26367y3z12-1843856843/35156y2z13-1844874123/35156yz14-1845344615/1054\
   68z15+14155483898745/26296688y3z13+297092613853737/368153632y2z14+2970926\
   13853737/368153632yz15+98915839271307/368153632z16-270887899131/4458608y2\
   z15-270887899131/4458608yz16-270887899131/4458608z17-95yz17+275/8z18+8505\
   yz18+59535/8z19-27016215455/105468yz19+28572080/8789z20+21110683794699105\
   /184076816yz20+40726306493438745/736307264z21-4698753505995194955/5154150\
   848yz21-4748618833102825785/10308301696z22+39114939183464627699725/143895\
   476736yz22+1893501137798116652057275/14101756720128z23+536564751106962074\
   4877275/3133723715584z24
==> j[82]=xz11+yz11+z12+572/423y6z8+572/141y5z9+790/141y4z10+40/9y3z11+88/47y\
   2z12+46/141yz13+56/423z14-582770/6627y6z9+5608430/24299y4z11+540007510/12\
   39249y3z12+140696995/413083y2z13+45353685/413083yz14-8938535/1239249z15-1\
   27805831775/14044822y3z13-26678525255325/2162902588y2z14-26678525255325/2\
   162902588yz15-6996427161975/2162902588z16+965701597805963/1152550168y2z15\
   +965701597805963/1152550168yz16+965707360556803/1152550168z17+910/141yz18\
   +530/423z19+235982375/112659yz19+147407075/75106z20+41856813119250/540725\
   647yz20+466506627125625/4325805176z21+813428824867634820/41635874819yz21+\
   360803350499543037395/18985958917464z22-2044981435549759625/449434304yz22\
   +379820494972020072979875/5329391976832z23-74930243087916747964230028075/\
   8201934252344448z24
==> j[83]=xyz10+y2z10+yz11-44/3y7z7-22000/423y6z8-12694/141y5z9-4440/47y4z10-\
   572/9y3z11-1266/47y2z12-368/47yz13-592/423z14+291385/6627y6z9-2804215/242\
   99y4z11-354995030/1239249y3z12-112844135/413083y2z13-65172480/413083yz14-\
   38026370/1239249z15-4104216934875/154493042y3z13-87610866574725/216290258\
   8y2z14-87610866574725/2162902588yz15-30151829486475/2162902588z16-9657361\
   51858727/2305100336y2z15-965724626357047/2305100336yz16-965736151858727/2\
   305100336z17-3980/141yz18+10310/423z19-3747910075/2478498yz19-395139025/4\
   13083z20-1480535146859625/1081451294yz20-2605859335031625/4325805176z21+4\
   9514451750738614374865/75943835669856yz21+16271513774910759142135/5062922\
   3779904z22+11326226929216215783875/19775109376yz22+5320790184795118344899\
   625/21317567907328z23+74986120771140667438590474925/16403868504688896z24
==> j[84]=xy2z9+y3z9+y2z10+44/3y7z7+22000/423y6z8+12694/141y5z9+4440/47y4z10+\
   572/9y3z11+1266/47y2z12+368/47yz13+592/423z14+432415/6627y6z9-5668240/242\
   99y4z11-469386380/1239249y3z12-120929870/413083y2z13-24569790/413083yz14+\
   25735165/1239249z15+5850299388375/154493042y3z13+125029896376005/21629025\
   88y2z14+125029896376005/2162902588yz15+43125704938755/2162902588z16+14758\
   30228106393/2305100336y2z15+1475818702604713/2305100336yz16+1475818702604\
   713/2305100336z17+3980/141yz18-10310/423z19-2165535925/2478498yz19-919789\
   925/826166z20+1387273664409075/1081451294yz20+2276001050636925/4325805176\
   z21-50878211929841413645085/75943835669856yz21-16566371038690273007315/50\
   629223779904z22-11214474564379130063875/19775109376yz22-48611383464565202\
   15783625/21317567907328z23-114566709866068006344889739425/164038685046888\
   96z24
==> j[85]=xy3z8+y4z8+y3z9-44/3y7z7-22000/423y6z8-12694/141y5z9-4440/47y4z10-5\
   72/9y3z11-1266/47y2z12-368/47yz13-592/423z14-794315/6627y6z9+19808935/485\
   98y4z11+898575340/1239249y3z12+246316000/413083y2z13+155880105/826166yz14\
   -11090435/1239249z15-13583602174275/308986084y3z13-290354162377815/432580\
   5176y2z14-290354162377815/4325805176yz15-100183731937965/4325805176z16-86\
   5434793775917/1152550168y2z15-865434793775917/1152550168yz16-865429031025\
   077/1152550168z17-3980/141yz18+10310/423z19+5278324775/2478498yz19+879169\
   625/413083z20-659615379073650/540725647yz20-4122118457610525/8651610352z2\
   1+25548497753349154062865/37971917834928yz21+8279719802851236313835/25314\
   611889952z22+5512001817613562968375/9887554688yz22+2279386767016902381410\
   625/10658783953664z23+134353948523716011370456857925/16403868504688896z24
==> j[86]=xy4z7+y5z7+y4z8+44/3y7z7+22000/423y6z8+12694/141y5z9+4440/47y4z10+5\
   72/9y3z11+1266/47y2z12+368/47yz13+592/423z14+820165/6627y6z9-10004695/242\
   99y4z11-924375050/1239249y3z12-252843830/413083y2z13-82764015/413083yz14+\
   12472705/1239249z15+6922621646775/154493042y3z13+149031192290445/21629025\
   88y2z14+149031192290445/2162902588yz15+52114489235595/2162902588z16+24823\
   81227491245/2305100336y2z15+2482392752992925/2305100336yz16+2482381227491\
   245/2305100336z17+3980/141yz18-10310/423z19-5645585125/2478498yz19-843374\
   425/413083z20+1297187944049925/1081451294yz20+2062173912456825/4325805176\
   z21-50561824847932108997975/75943835669856yz21-16202257051507079051225/50\
   629223779904z22-10885418295936912302125/19775109376yz22-38727651899890821\
   41649375/21317567907328z23-192656983663705294299285170425/164038685046888\
   96z24
==> j[87]=xy5z6+y6z6+y5z7-44/3y7z7-22000/423y6z8-12694/141y5z9-4440/47y4z10-5\
   72/9y3z11-1266/47y2z12-368/47yz13-592/423z14-677990/6627y6z9+16073845/485\
   98y4z11+748480135/1239249y3z12+199942510/413083y2z13+126629655/826166yz14\
   -21868475/1239249z15-12867082326225/308986084y3z13-280465993175625/432580\
   5176y2z14-280465993175625/4325805176yz15-100326840608475/4325805176z16-34\
   82129007677641/2305100336y2z15-3482140533179321/2305100336yz16-3482140533\
   179321/2305100336z17-3980/141yz18+10310/423z19+2366512450/1239249yz19+587\
   789600/413083z20-1266613569572625/1081451294yz20-4261564971336375/8651610\
   352z21+16119256475079729722865/25314611889952yz21+45717933468220817492515\
   /151887671339712z22+10507480887510632554625/19775109376yz22+2851941890352\
   553038384375/21317567907328z23+270218364329671490905898237425/16403868504\
   688896z24
==> j[88]=xy6z5+y7z5+y6z6+44/3y7z7+22000/423y6z8+12694/141y5z9+4440/47y4z10+5\
   72/9y3z11+1266/47y2z12+368/47yz13+592/423z14+502210/6627y6z9-5655550/2429\
   9y4z11-532246295/1239249y3z12-135155360/413083y2z13-39011010/413083yz14+3\
   2866945/1239249z15+2824416045900/77246521y3z13+31908535379955/540725647y2\
   z14+31908535379955/540725647yz15+12137623058655/540725647z16+305826537280\
   3955/1152550168y2z15+3058265372803955/1152550168yz16+3058271135554795/115\
   2550168z17+3980/141yz18-10310/423z19-1819427750/1239249yz19-607474925/826\
   166z20+607471821367650/540725647yz20+579107988351675/1081451294z21-222626\
   58475598588445775/37971917834928yz21-821349300336923555475/3164326486244z\
   22-4934719312810096564625/9887554688yz22-13859743719993905654625/66617399\
   7104z23-474598588592475460844829069175/16403868504688896z24
==> j[89]=xy7z4+y8z4+y7z5-44/3y7z7-22000/423y6z8-12694/141y5z9-4440/47y4z10-5\
   72/9y3z11-1266/47y2z12-368/47yz13-592/423z14-360035/6627y6z9+670505/4418y\
   4z11+32395580/112659y3z12+7477640/37553y2z13+3556695/75106yz14-3842065/11\
   2659z15-834107335425/28089644y3z13-20483018940645/393255016y2z14-20483018\
   940645/393255016yz15-8805516244695/393255016z16-62947700852446/13097161y2\
   z15-62947635366641/13097161yz16-62947700852446/13097161z17-3980/141yz18+1\
   0310/423z19+128147225/112659yz19+14387975/75106z20-98863714608525/9831375\
   4yz20-465840806838075/786510032z21+1115523758314184084115/2301328353632yz\
   21+605939354848035542885/3451992530448z22+766419965297948840125/179773721\
   6yz22-189306790888410903168375/968980359424z23+39071746921686379894793389\
   525/745630386576768z24
==> j[90]=xy8z3+y9z3+y8z4+44/3y7z7+22000/423y6z8+12694/141y5z9+4440/47y4z10+5\
   72/9y3z11+1266/47y2z12+368/47yz13+592/423z14+385885/6627y6z9-3788005/2429\
   9y4z11-382151090/1239249y3z12-88781870/413083y2z13-24385785/413083yz14+43\
   644985/1239249z15+1715524031025/77246521y3z13+102607196576895/2162902588y\
   2z14+102607196576895/2162902588yz15+54572523708195/2162902588z16+41491904\
   700872569/4610200672y2z15+41491881649869209/4610200672yz16+41491881649869\
   209/4610200672z17+3980/141yz18-10310/423z19-3279442975/2478498yz19-148639\
   775/826166z20+1653946905334725/2162902588yz20+1460308283586225/2162902588\
   z21-11411768595004261871945/37971917834928yz21-10977086845197539633785/30\
   3775342679424z22-5639977208141893583875/19775109376yz22+26988004909046083\
   142851125/42635135814656z23-1609576594686224917280791595425/1640386850468\
   8896z24
==> j[91]=xy9z2+y10z2+y9z3-44/3y7z7-22000/423y6z8-12694/141y5z9-4440/47y4z10-\
   572/9y3z11-1266/47y2z12-368/47yz13-592/423z14-747785/6627y6z9+16048465/48\
   598y4z11+811340050/1239249y3z12+214168000/413083y2z13+155512095/826166yz1\
   4-29000255/1239249z15-1869344233875/154493042y3z13-27348503342535/6179721\
   68y2z14-27348503342535/617972168yz15-19871126407035/617972168z16-21906823\
   763821361/1317200192y2z15-21906823763821361/1317200192yz16-21906817177820\
   401/1317200192z17-3980/141yz18+10310/423z19+6392231825/2478498yz19+493594\
   550/413083z20-80051332955175/617972168yz20-220738142474775/308986084z21-2\
   3878555064365101845/380670855488yz21-17328862007227564772735/867929550512\
   64z22-1868878877799862375/308986084yz22-17995252524739734383894625/121814\
   67375616z23+424904594031505848545727956275/2343409786384128z24
==> j[92]=y11z+11/2y10z2+35/2y9z3+75/2y8z4+45y7z5+21y6z6-21y5z7-45y4z8-75/2y3\
   z9-35/2y2z10-11/2yz11-z12+242/3y7z7+117854/423y6z8+66671/141y5z9+68915/14\
   1y4z10+2926/9y3z11+6479/47y2z12+5819/141yz13+2948/423z14-14820025/17672y6\
   z9+873381255/388784y4z11+3434435885/826166y3z12+10920930675/3304664y2z13+\
   6994380015/6609328yz14-22734095/1652332z15+146778297314625/2471888672y3z1\
   3+3946648865169015/34606441408y2z14+3946648865169015/34606441408yz15+1719\
   77518433115/3146040128z16+586848438081958029/36881605376y2z15+58684760824\
   5837069/36881605376yz16+586849267918078989/36881605376z17+16885/141yz18-5\
   9620/423z19+128385353575/6609328yz19+137287540725/6609328z20+127263206240\
   91225/1573020064yz20+310587762800398275/69212882816z21-559423970391860132\
   618355/202516895119616yz21-2648529752258055957642185/2430202741435392z22-\
   206251926696326362531125/79100437504yz22-6368843586601514282682375/341081\
   086517248z23-22766825225665150008965210140975/131230948037511168z24
==> j[93]=xy10z-9/2y10z2-35/2y9z3-75/2y8z4-45y7z5-21y6z6+21y5z7+45y4z8+75/2y3\
   z9+35/2y2z10+11/2yz11+z12-66y7z7-95854/423y6z8-53977/141y5z9-55595/141y4z\
   10-2354/9y3z11-5213/47y2z12-4715/141yz13-2356/423z14+46829465/53016y6z9-9\
   39859165/388784y4z11-11220311425/2478498y3z12-11824529065/3304664y2z13-76\
   71452325/6609328yz14+325274275/4956996z15-213307344103275/2471888672y3z13\
   -3539899421796285/34606441408y2z14-3539899421796285/34606441408yz15-55359\
   6604350435/34606441408z16+637916404054624945/36881605376y2z15+63791741829\
   8772785/36881605376yz16+637915574218503985/36881605376z17-12905/141yz18+4\
   9310/423z19-399356020775/19827984yz19-125295168175/6609328z20-16067719441\
   9307025/17303220704yz20-248929945229340225/69212882816z21+217687447956085\
   6008821875/607550685358848yz21+1506720720000815632794625/810067580478464z\
   22+251542729646597163392375/79100437504yz22+1100231254123070657862622125/\
   341081086517248z23-24743902157297674796181020605675/131230948037511168z24
==> j[94]=xz10+yz10+z11-2y10z3+55/3y8z5+88/3y7z6-176/3y5z8-275/3y4z9-74y3z10-\
   107/3y2z11-35/3yz12-2z13-243y7z7-269321/282y6z8-117041/94y5z9-712895/1034\
   y4z10+21007/66y3z11+646581/1034y2z12+323287/1034yz13+26296/1551z14+153218\
   6301053/31491504y6z9-28302886184245/230937696y4z11-369236982688165/147222\
   7812y3z12-483241821082753/1962970416y2z13-161778192344447/1308646944yz14-\
   129648185396255/2944455624z15+26412860150841105/4943777344y3z13-695810883\
   7563240127/761341710976y2z14-6958108837563240127/761341710976yz15-1102568\
   5494084215417/761341710976z16-8866818239102802159903/811395318272y2z15-88\
   66818239102802159903/811395318272yz16-8866818239102802159903/811395318272\
   z17-60yz17+205/6z18+204970/47yz18+481415/141z19-1628796093113185/10707111\
   36yz19-801624018015785/356903712z20-22622732585079460105/380670855488yz20\
   -14651113564696435690405/28930985017088z21-14925866713467095080947885/234\
   493246980608yz21-162988809923300115947069165/937972987922432z22+217027488\
   303727311617857225/81157048879104yz22-3607577023721769331157959473779675/\
   3849441142433660928z23+114652925676746336308634050779694625/9623602856084\
   15232z24
==> j[95]=xyz9+y2z9+yz10+y10z3-55/6y8z5-88/3y7z6-154/3y6z7-176/3y5z8-275/6y4z\
   9-73/3y3z10-49/6y2z11-11/6yz12-1/3z13+27807/2y7z7+27474989/564y6z8+157748\
   09/188y5z9+181916225/2068y4z10+7831277/132y3z11+52555821/2068y2z12+154100\
   57/2068yz13+3970631/3102z14-1532512780349/62983008y6z9+28310922597685/461\
   875392y4z11+312266920336765/2944455624y3z12+369221219233489/3925940832y2z\
   13+85718918102111/2617293888yz14+72587933139335/5888911248z15-23463796814\
   766465/9887554688y3z13+7638777282737732143/1522683421952y2z14+76387848961\
   54841903/1522683421952yz15+11252201992211767753/1522683421952z16+88666486\
   91778875305887/1622790636544y2z15+8866648691778875305887/1622790636544yz1\
   6+8866648691778875305887/1622790636544z17+5yz17+95/12z18+2454995/94yz18-1\
   1751445/564z19+1325039781765505/2141422272yz19+802915233344105/713807424z\
   20+212928577519537578635/2284025132928yz20+49269817023572113303135/173585\
   910102528z21+14679874250853206902545165/468986493961216yz21+1624709876091\
   88447706426285/1875945975844864z22-3390929639575960014605825/284761575014\
   4yz22+133634634272595832503329684033025/285143788328419328z23-11465538424\
   9151618443278198421108625/1924720571216830464z24
==> j[96]=xy2z8+y3z8+y2z9-y10z3+55/6y8z5+88/3y7z6+154/3y6z7+176/3y5z8+275/6y4\
   z9+73/3y3z10+49/6y2z11+11/6yz12+1/3z13-27807/2y7z7-27413389/564y6z8-15713\
   209/188y5z9-180943285/2068y4z10-7779157/132y3z11-52131801/2068y2z12-15281\
   377/2068yz13-3881821/3102z14+1503720099149/62983008y6z9-27852903658885/46\
   1875392y4z11-306823078233565/2944455624y3z12-361692515570689/3925940832y2\
   z13-83295222980111/2617293888yz14-69490446159335/5888911248z15+2299615012\
   4279505/9887554688y3z13-7261203230864264191/1522683421952y2z14-7261210844\
   281373951/1522683421952yz15-10802617963420417721/1522683421952z16-8536928\
   288202947267487/1622790636544y2z15-8536928288202947267487/1622790636544yz\
   16-8536928288202947267487/1622790636544z17-5yz17-95/12z18-2405995/94yz18+\
   11933795/564z19-1293458993895505/2141422272yz19-781880589098105/713807424\
   z20-208445445580800540395/2284025132928yz20-47594873162595871252495/17358\
   5910102528z21-14166016457464503851877165/468986493961216yz21-156896085683\
   398800539506285/1875945975844864z22+302143100233275749845075/258874159104\
   yz22-128603398089795292365124010873025/285143788328419328z23+581010345224\
   7913696710282640471675/101301082695622656z24
==> j[97]=x2yz8-y3z8-2y2z9-yz10-30800/141y6z8-30800/47y5z9-486470/517y4z10-26\
   060/33y3z11-212010/517y2z12-64340/517yz13-88810/1551z14+22216575/24299y6z\
   9-1060229025/534578y4z11-16801981800/4543913y3z12-17427554775/4543913y2z1\
   3-16831216125/9087826yz14-4780072500/4543913z15+29230743643155/308986084y\
   3z13-3371148939164373/6797693848y2z14-3371148939164373/6797693848yz15-401\
   4157322375303/6797693848z16-367990648300524555/905575132y2z15-36799064830\
   0524555/905575132yz16-367990648300524555/905575132z17-49000/47yz18-91175/\
   141z19-24367891875/826166yz19-4426482375/75106z20-6671312561017835/169942\
   3462yz20-262368541773794155/13595387696z21-2293967850441994049775/1046844\
   852592yz21-12443823743852234750425/2093689705184z22+467700117888120193125\
   /9887554688yz22-591075702583960794376269375/16749517641472z23+23791422051\
   60431245130222461075/537031409379696z24
==> j[98]=xy3z7+y4z7+y3z8+y10z3-55/6y8z5-88/3y7z6-154/3y6z7-176/3y5z8-275/6y4\
   z9-73/3y3z10-49/6y2z11-11/6yz12-1/3z13+27495/2y7z7+27074645/564y6z8+15501\
   365/188y5z9+16209175/188y4z10+696115/12y3z11+4659915/188y2z12+1367575/188\
   yz13+345895/282z14-135393068959/5725728y6z9+2511263108135/41988672y4z11+2\
   7678604351535/267677784y3z12+32605013191739/356903712y2z13+7506184515061/\
   237935808yz14+6209563032205/535355568z15-22781207413239945/9887554688y3z1\
   3+642550895521998149/138425765632y2z14+642550895521998149/138425765632yz1\
   5+961488491436185539/138425765632z16+761097454422234760125/147526421504y2\
   z15+761097454422234760125/147526421504yz16+761097454422234760125/14752642\
   1504z17+5yz17+95/12z18+1169950/47yz18-11997475/564z19+1279604898026905/21\
   41422272yz19+771355537242305/713807424z20+18661802697071265505/2076386484\
   48yz20+4247595362728678286405/15780537282048z21+1264608268419656004216375\
   /42635135814656yz21+14010210581816867535106375/170540543258624z22-3292545\
   274303768691510825/2847615750144yz22+11462513638933497442823584750275/259\
   22162575310848z23-9841838750274204600984698738442475/174974597383348224z2\
   4
==> j[99]=xy4z6+y5z6+y4z7-y10z3+55/6y8z5+88/3y7z6+154/3y6z7+176/3y5z8+275/6y4\
   z9+73/3y3z10+49/6y2z11+11/6yz12+1/3z13-27183/2y7z7-26764501/564y6z8-15318\
   121/188y5z9-176093065/2068y4z10-7557373/132y3z11-50531529/2068y2z12-14830\
   573/2068yz13-3743269/3102z14+1405719171149/62983008y6z9-26098701044485/46\
   1875392y4z11-286531489029805/2944455624y3z12-336342178241569/3925940832y2\
   z13-76335479575631/2617293888yz14-62885031805175/5888911248z15+2144197673\
   2934385/9887554688y3z13-6602383295616654047/1522683421952y2z14-6602375682\
   199544287/1522683421952yz15-9904447712488549337/1522683421952z16-78458368\
   51981512509823/1622790636544y2z15-7845836851981512509823/1622790636544yz1\
   6-7845836851981512509823/1622790636544z17-5yz17-95/12z18-2296555/94yz18+1\
   2055805/564z19-1200204388940305/2141422272yz19-726023508016505/713807424z\
   20-196100702405618841515/2284025132928yz20-43934311163922771200815/173585\
   910102528z21-13043238309443948468622285/468986493961216yz21-1445817020185\
   13382166954765/1875945975844864z22+3099566692215409928555825/284761575014\
   4yz22-118140707887385341394303048813025/285143788328419328z23+10145568057\
   6253136022544170692466625/1924720571216830464z24
==> j[100]=xy5z5+y6z5+y5z6+y10z3-55/6y8z5-88/3y7z6-154/3y6z7-176/3y5z8-275/6y\
   4z9-73/3y3z10-49/6y2z11-11/6yz12-1/3z13+26211/2y7z7+25817237/564y6z8+1477\
   6937/188y5z9+169837205/2068y4z10+7286321/132y3z11+48666813/2068y2z12+1427\
   3741/2068yz13+3596333/3102z14-1287510460349/62983008y6z9+23925416061685/4\
   61875392y4z11+262628419382125/2944455624y3z12+308026320020209/3925940832y\
   2z13+69773522330591/2617293888yz14+57164869308695/5888911248z15-196348286\
   37771265/9887554688y3z13+5978673815371681295/1522683421952y2z14+597866620\
   1954571535/1522683421952yz15+9002429812171346345/1522683421952z16+7138912\
   337581223050191/1622790636544y2z15+7138912337581223050191/1622790636544yz\
   16+7138912337581223050191/1622790636544z17+5yz17+95/12z18+2215235/94yz18-\
   11783635/564z19+1097712163576705/2141422272yz19+663249341441705/713807424\
   z20+179294761990875102875/2284025132928yz20+40016751223659310234975/17358\
   5910102528z21+11877497934371347243462845/468986493961216yz21+131693580706\
   408643565147005/1875945975844864z22-258089093126924086315075/258874159104\
   yz22+107477474797146983301980847563025/285143788328419328z23-923146232529\
   15419031966121231591025/1924720571216830464z24
==> j[101]=xy6z4+y7z4+y6z5-y10z3+55/6y8z5+88/3y7z6+154/3y6z7+176/3y5z8+275/6y\
   4z9+73/3y3z10+49/6y2z11+11/6yz12+1/3z13-24579/2y7z7-24221413/564y6z8-1386\
   6373/188y5z9-159359545/2068y4z10-6835309/132y3z11-45606837/2068y2z12-1336\
   2709/2068yz13-3357877/3102z14+1135380310349/62983008y6z9-21489137816485/4\
   61875392y4z11-237656058852445/2944455624y3z12-276145905102049/3925940832y\
   2z13-62325489107951/2617293888yz14-45064798965815/5888911248z15+173708533\
   32579585/9887554688y3z13-3988796004711358367/1522683421952y2z14-398879600\
   4711358367/1522683421952yz15-6663899804511504697/1522683421952z16-5432757\
   820012659581559/1622790636544y2z15-5432757820012659581559/1622790636544yz\
   16-5432757820012659581559/1622790636544z17-5yz17-95/12z18-1043420/47yz18+\
   11170415/564z19-953013569533105/2141422272yz19-553337624682905/713807424z\
   20-145840319136933934115/2284025132928yz20-30969892972452188138815/173585\
   910102528z21-9231594918869105409774405/468986493961216yz21-10282907315529\
   7376672636245/1875945975844864z22+2512229266111330470845825/2847615750144\
   yz22-81448121846782105596196290158025/285143788328419328z23+7025294093232\
   6304983090103955583025/1924720571216830464z24
==> j[102]=xy7z3+y8z3+y7z4+y10z3-55/6y8z5-88/3y7z6-154/3y6z7-176/3y5z8-275/6y\
   4z9-73/3y3z10-49/6y2z11-11/6yz12-1/3z13+20967/2y7z7+20668469/564y6z8+1183\
   6229/188y5z9+136042685/2068y4z10+5835617/132y3z11+38903001/2068y2z12+1137\
   8957/2068yz13+2838701/3102z14-949670063249/62983008y6z9+18982415596585/46\
   1875392y4z11+212247263980465/2944455624y3z12+238285193966389/3925940832y2\
   z13+51289774263611/2617293888yz14+21727413902435/5888911248z15-1323759792\
   507375/898868608y3z13+50451185694352075/1522683421952y2z14+50458799111461\
   835/1522683421952yz15+2292900274201845325/1522683421952z16+23181027382997\
   63444907/1622790636544y2z15+2318102738299763444907/1622790636544yz16+2318\
   102738299763444907/1622790636544z17+5yz17+95/12z18+1797545/94yz18-9586945\
   /564z19+67897253661455/194674752yz19+381479299986605/713807424z20+3194889\
   6001371716525/761341710976yz20+4987539979539651662025/57861970034176z21+4\
   507422885797099806930065/468986493961216yz21+51665118523122418203922385/1\
   875945975844864z22-2106020805947952066448325/2847615750144yz22+3372837380\
   7388914111692462505525/285143788328419328z23-2997827725127350617359441936\
   9683925/1924720571216830464z24
==> j[103]=xy8z2+y9z2+y8z3-y10z3+55/6y8z5+88/3y7z6+154/3y6z7+176/3y5z8+275/6y\
   4z9+73/3y3z10+49/6y2z11+11/6yz12+1/3z13-14055/2y7z7-13844125/564y6z8-7930\
   585/188y5z9-91182325/2068y4z10-3914125/132y3z11-26077665/2068y2z12-759890\
   5/2068yz13-1846525/3102z14-56738190001/62983008y6z9-788583031735/46187539\
   2y4z11+3705043629665/2944455624y3z12+33698825888021/3925940832y2z13+26934\
   521105179/2617293888yz14+48443172337795/5888911248z15-1674626841934085/98\
   87554688y3z13+6068824708329191147/1522683421952y2z14+6068817094912081387/\
   1522683421952yz15+6326709628569930477/1522683421952z16+438316603323713262\
   6075/1622790636544y2z15+4383166033237132626075/1622790636544yz16+43831660\
   33237132626075/1622790636544z17-5yz17-95/12z18-1228975/94yz18+6430475/564\
   z19+229433021403845/2141422272yz19+177561956970445/713807424z20+437251626\
   0828943805/761341710976yz20+6733889229863237423305/57861970034176z21+6472\
   489146665446781282625/468986493961216yz21+68736014372542198909702625/1875\
   945975844864z22-235468550079971226057925/2847615750144yz22+67598204349319\
   764879858861070725/285143788328419328z23-56673712757844430872502147995169\
   925/1924720571216830464z24
==> j[104]=xy9z+y10z+y9z2+y10z3-55/6y8z5-88/3y7z6-154/3y6z7-176/3y5z8-275/6y4\
   z9-73/3y3z10-49/6y2z11-11/6yz12-1/3z13+81/2y7z7+20987/564y6z8-29773/188y5\
   z9-937225/2068y4z10-76489/132y3z11-954237/2068y2z12-428269/2068yz13-24054\
   7/3102z14+1532345992013/31491504y6z9-28306817038645/230937696y4z11-334935\
   035606125/1472227812y3z12-414598563097033/1962970416y2z13-115993745512367\
   /1308646944yz14-95302123686515/2944455624z15+24638371580196585/4943777344\
   y3z13-7367766263566669687/761341710976y2z14-7367766263566669687/761341710\
   976yz15-11162071680208388897/761341710976z16-8866788100400929259007/81139\
   5318272y2z15-8866788100400929259007/811395318272yz16-88667881004009292590\
   07/811395318272z17+5yz17+95/12z18-61520/47yz18-872485/564z19-144593453266\
   9585/1070711136yz19-802392457412585/356903712z20-51726760136722013505/380\
   670855488yz20-15717885863814697019405/28930985017088z21-14783421512249437\
   559345565/234493246980608yz21-162700533154377588304883885/937972987922432\
   z22+322623769173414075335275/129437079552yz22-133626851353543979843982988\
   039425/142571894164209664z23+114651826665550669804340321547678725/9623602\
   85608415232z24
==> j[105]=y11+11/2y10z+35/2y9z2+75/2y8z3+45y7z4+21y6z5-21y5z6-45y4z7-75/2y3z\
   8-35/2y2z9-11/2yz10-z11-121/12y10z3+605/8y8z5+484/3y7z6+847/6y6z7-3025/24\
   y4z9-1639/12y3z10-605/8y2z11-605/24yz12-55/12z13-496557/8y7z7-163897893/7\
   52y6z8-283577679/752y5z9-3289198455/8272y4z10-47621529/176y3z11-973133811\
   /8272y2z12-289849887/8272yz13-25699797/4136z14+13790898641045/41988672y6z\
   9-254756053973725/307916928y4z11-2895489259664005/1962970416y3z12-3493588\
   014554305/2617293888y2z13-885441037185095/1744862592yz14-738852525441155/\
   3925940832z15+58792619404254825/1797737216y3z13-29029629870534918555/4350\
   52406272y2z14-29029639659214059675/435052406272yz15-43257433977685445085/\
   435052406272z16-4885765421161403763189/66236352512y2z15-48857654211614037\
   63189/66236352512yz16-4885765421161403763189/66236352512z17-1045/6yz17+32\
   45/48z18-24382485/188yz18+61143165/752z19-1125461947884875/129783168yz19-\
   7224008537147825/475871616z20-242684941976657471325/217526203136yz20-6220\
   8462750546964644825/16531991438336z21-8113800430998688886412255/191423058\
   75968yz21-89584020780427449954878895/76569223503872z22+531742344903106193\
   3045651675/324628195516416yz22-1988109506475858878586293866664425/3142400\
   93259890688z23+2339865429414017202634203238888925/2909630493147136z24
==> j[106]=xy10-9/2y10z-35/2y9z2-75/2y8z3-45y7z4-21y6z5+21y5z6+45y4z7+75/2y3z\
   8+35/2y2z9+11/2yz10+z11+25/4y10z3-1045/24y8z5-308/3y7z6-231/2y6z7-176/3y5\
   z8+275/24y4z9+151/4y3z10+629/24y2z11+215/24yz12+7/4z13+602439/8y7z7+59631\
   7133/2256y6z8+344750573/752y5z9+4012256885/8272y4z10+175307009/528y3z11+1\
   204546857/8272y2z12+361624349/8272yz13+95745797/12408z14-44438750603353/1\
   25966016y6z9+820915339289345/923750784y4z11+8987440254211625/5888911248y3\
   z12+10571830073260373/7851881664y2z13+2396033126200627/5234587776yz14+203\
   7887782880815/11777822496z15-676897656616747605/19775109376y3z13+22235239\
   4201342493227/3045366843904y2z14+222352477948930700587/3045366843904yz15+\
   326594564799567636557/3045366843904z16+257135552782960549448547/324558127\
   3088y2z15+257135552782960549448547/3245581273088yz16+25713555278296054944\
   8547/3245581273088z17+165/2yz17-1015/48z18+31805095/188yz18-204052765/225\
   6z19+38065846621703885/4282844544yz19+23284988027782885/1427614848z20+634\
   5531001663158347815/4568050265856yz20+1435095300479986638034715/347171820\
   205056z21+425589728026867466259701865/937972987922432yz21+471184385628447\
   9645936490585/3751891951689728z22-5565613814679479907869692925/3246281955\
   16416yz22+104636875714361958076728226934320975/15397764569734643712z23-33\
   24944578804061802335597195714017225/3849441142433660928z24
==> j[107]=xz9+yz9+z10-2y10z2-10y9z3-80/3y8z4-140/3y7z5-56y6z6-140/3y5z7-80/3\
   y4z8-10y3z9-8/3y2z10-2/3yz11+4765/8y10z3-20835/16y8z5+7895y7z6+130465/4y6\
   z7+114225/2y5z8+948125/16y4z9+314315/8y3z10+269835/16y2z11+78825/16yz12+6\
   155/8z13+10422463/144y7z7+30860986159/121824y6z8+11267616007/40608y5z9+24\
   51530645/40608y4z10-593889031/2592y3z11-3754807597/13536y2z12-5387471995/\
   40608yz13-1469311027/60912z14+1416414815/477144y6z9-8816857945/874764y4z1\
   1+66212212331860/11153241y3z12+530405865696055/59483952y2z13+177001804012\
   105/19827984yz14+531293352896875/178451856z15-451812888421348725/49437773\
   44y3z13-9467956171849602645/69212882816y2z14-9467956171849602645/69212882\
   816yz15-3142575733950720495/69212882816z16+4669864624952322557/4149180604\
   8y2z15+4669865039870383037/41491806048yz16+4669864694105332637/4149180604\
   8z17+36475/4yz17-677825/32z18-7346744615/5076yz18-154285681835/121824z19+\
   7773403307100775/178451856yz19-8644863356275/14870988z20-6754175699206002\
   08925/34606441408yz20-118395500273292442575/12584160512z21+31401103304881\
   931520310995/202516895119616yz21+887426514335075048486070005/109359123364\
   59264z22-1251759485803846914084678625/27052349626368yz22-4480654712428475\
   03622831835375/29162432897224704z23-7089149875771776722822802411220525/47\
   24314129350402048z24
==> j[108]=x2z8+2xyz8+y2z8-z10+4y10z2+20y9z3+160/3y8z4+280/3y7z5+112y6z6+280/\
   3y5z7+160/3y4z8+20y3z9+16/3y2z10+4/3yz11-4765/4y10z3+20835/8y8z5-15790y7z\
   6-130465/2y6z7-114225y5z8-948125/8y4z9-314315/4y3z10-269835/8y2z11-78825/\
   8yz12-6155/4z13-10422463/72y7z7-30860986159/60912y6z8-11267616007/20304y5\
   z9-2451530645/20304y4z10+593889031/1296y3z11+3754807597/6768y2z12+5387471\
   995/20304yz13+1469311027/30456z14-1399043615/238572y6z9+8715188485/437382\
   y4z11-132429370952180/11153241y3z12-530417086848295/29741976y2z13-1770032\
   39888425/9913992yz14-531293942874715/89225928z15+451831513300852725/24718\
   88672y3z13+1352622186881068995/4943777344y2z14+1352622186881068995/494377\
   7344yz15+448959160279363545/4943777344z16-666686281192956551/2963700432y2\
   z15-666686340466965191/2963700432yz16-666686291071957991/2963700432z17-36\
   475/2yz17+677825/16z18+7346744615/2538yz18+154285681835/60912z19-77735452\
   29804775/89225928yz19+8634602948425/7435494z20+96488082161636295675/24718\
   88672yz20+186049569216835713075/9887554688z21-4486045070606279989911285/1\
   4465492508544yz21-126778248897139344222571715/781136595461376z22+12518104\
   44397172450231478625/13526174813184yz22+64039296090068904823814529625/208\
   3030921230336z23+1012192877731541557473812325964075/337451009239314432z24
==> j[109]=xy2z7+y3z7+xyz8+2y2z8+yz9-20y10z3+135y8z5+100y7z6-280y6z7-750y5z8-\
   860y4z9-580y3z10-240y2z11-75yz12+5z13-2430y7z7-8505y6z8-9315y5z9-2025y4z1\
   0+7695y3z11+9315y2z12+4455yz13+810z14-137720/1269y6z9+1667195/4653y4z11-2\
   781943060/13959y3z12-1392968470/4653y2z13-464878555/1551yz14-1395517225/1\
   3959z15+593361411525/193358y3z13+12453489091035/2707012y2z14+124534890910\
   35/2707012yz15+4146429329685/2707012z16-22233021781185/24522344y2z15-2223\
   3021781185/24522344yz16-22233021781185/24522344z17-25yz17+775z18+48600yz1\
   8+42525z19-20413773700/13959yz19+183517925/9306z20+443546916219075/676753\
   yz20+1711538620047975/5414024z21-1078898021998400925/208439924yz21-274335\
   714970145775/104219962z22+1652695466624865838625/1058054976yz22+834251599\
   282706046264875/1140583264128z23+7746570213321534310029375/506925895168z2\
   4
==> j[110]=x2yz7-y3z7-2y2z8-yz9+40y10z3-270y8z5-200y7z6+560y6z7+1500y5z8+1720\
   y4z9+1160y3z10+480y2z11+150yz12-10z13+4860y7z7+17010y6z8+18630y5z9+4050y4\
   z10-15390y3z11-18630y2z12-8910yz13-1620z14+229240/1269y6z9-2793595/4653y4\
   z11+94640854120/237303y3z12+47376934720/79101y2z13+15808141945/26367yz14+\
   47449455190/237303z15-20187642625875/3287086y3z13-423704404766295/4601920\
   4y2z14-423704404766295/46019204yz15-141077408004045/46019204z16+426571448\
   61645/24522344y2z15+42657144861645/24522344yz16+42657144861645/24522344z1\
   7+50yz17-1550z18-97200yz18-85050z19+694266994450/237303yz19-3066280300/79\
   101z20-15080112577645275/11504801yz20-58189264261463325/92038408z21+14675\
   7347288825452425/14173914832yz21+149236032168256486725/28347829664z22-112\
   614287630425887442375/35973869184yz22-57095814670788545830196125/38779830\
   980352z23-128226219869267477322323625/4308870108928z24
==> j[111]=xy3z6+y4z6+y3z7-xyz8-y2z8-yz9+30y10z3-405/2y8z5-306y7z6-126y6z7+16\
   2y5z8+495/2y4z9+144y3z10+81/2y2z11+57/2yz12-18z13+6561/2y7z7+45927/4y6z8+\
   50301/4y5z9+10935/4y4z10-41553/4y3z11-50301/4y2z12-24057/4yz13-2187/2z14+\
   3454/47y6z9-121350/517y4z11+139340435/517y3z12+418321803/1034y2z13+418559\
   333/1034yz14+139570115/1034z15-3212747506665/773432y3z13-6133920682635/98\
   4368y2z14-6133920682635/984368yz15-22494662415675/10828048z16+78018150537\
   27/49044688y2z15+7801815053727/49044688yz16+7801815053727/49044688z17-405\
   yz17-4455/4z18-65610yz18-229635/4z19+1021492805/517yz19-25863195/1034z20-\
   4790677244384925/5414024yz20-9244453123161225/21656096z21+585329039277152\
   7645/833759696yz21+5878965984667136415/1667519392z22-24546851813851729717\
   5/117561664yz22-6925674491159466746175/6670077568z23-54989689133154355448\
   82975/1013851790336z24
==> j[112]=xy4z5+y5z5+y4z6+xyz8+y2z8+yz9-50y10z3+270y8z5+292y7z6-238y6z7-894y\
   5z8-1010y4z9-628y3z10-231y2z11-87yz12+11z13-5346y7z7-18711y6z8-20493y5z9-\
   4455y4z10+16929y3z11+20493y2z12+9801yz13+1782z14-107426/1269y6z9+1238705/\
   4653y4z11-104279949410/237303y3z12-52166850719/79101y2z13-17395705898/263\
   67yz14-52200514085/237303z15+22263444302265/3287086y3z13+467423176131315/\
   46019204y2z14+467423176131315/46019204yz15+155734955899605/46019204z16-93\
   56490298143/6130586y2z15-9356490298143/6130586yz16-9356490298143/6130586z\
   17+485yz17+1840z18+106920yz18+93555z19-764254156340/237303yz19+3168673535\
   /79101z20+16589299116393375/11504801yz20+64014825565742775/92038408z21-16\
   2451373868908926605/14173914832yz21-20514628345434412995/3543478708z22+12\
   2304080714970234219725/35973869184yz22+30999660984074405039458075/1938991\
   5490176z23+211553781983683424781193575/8617740217856z24
==> j[113]=xy5z4+y6z4+y5z5-xyz8-y2z8-yz9+75y10z3-675/2y8z5-498y7z6-168y6z7+30\
   6y5z8+795/2y4z9+192y3z10+63/2y2z11+51/2yz12-24z13+12393/2y7z7+86751/4y6z8\
   +95013/4y5z9+20655/4y4z10-78489/4y3z11-95013/4y2z12-45441/4yz13-4131/2z14\
   +902/47y6z9-20940/517y4z11+4481086570/8789y3z12+13444813493/17578y2z13+13\
   445349673/17578yz14+4482215115/17578z15-854678163465/108664y3z13-21714741\
   66899745/184076816y2z14-2171474166899745/184076816yz15-723649357990035/18\
   4076816z16+106352070291801/49044688y2z15+106352070291801/49044688yz16+106\
   352070291801/49044688z17-915yz17-8715/4z18-123930yz18-433755/4z19+5967905\
   885/1598yz19-71510445/1598z20-153838794976230825/92038408yz20-29680965044\
   8392825/368153632z21+379100754580207174965/28347829664yz21+19102901522990\
   0486715/28347829664z22-8465085153731213643475/2180234496yz22-228639664680\
   14959972956575/12926610326784z23-514360704677516824873740975/172354804357\
   12z24
==> j[114]=xy6z3+y7z3+y6z4+xyz8+y2z8+yz9-355/2y10z3+4095/4y8z5+1804y7z6+959y6\
   z7-1038y5z8-8765/4y4z9-3587/2y3z10-3363/4y2z11-1161/4yz12-41/2z13-58563/4\
   y7z7-409941/8y6z8-448983/8y5z9-97605/8y4z10+370899/8y3z11+448983/8y2z12+2\
   14731/8yz13+19521/4z14-456709/2538y6z9+2648150/4653y4z11-16803562855/1395\
   9y3z12-33620602921/18612y2z13-1019124317/564yz14-33637230565/55836z15+287\
   15244673095/1546864y3z13+602655259692735/21656096y2z14+602655259692735/21\
   656096yz15+200641834269405/21656096z16-769409234887941/98089376y2z15-7694\
   09234887941/98089376yz16-769409234887941/98089376z17-505yz17+27365/8z18+2\
   92815yz18+2049705/8z19-492544730935/55836yz19+1014561545/9306z20+42759769\
   181783475/10828048yz20+82486202679399975/43312192z21-10548438775411220419\
   5/3335038784yz21-53480743988955730695/3335038784z22+775647419365109709660\
   25/8464439808yz22+18278145748430711894029175/4562333056512z23+22714341902\
   5045581602456175/2027703580672z24
==> j[115]=xy7z2+y8z2+y7z3-xyz8-y2z8-yz9+1575/4y10z3-21105/8y8z5-5310y7z6-850\
   5/2y6z7+450y5z8+33255/8y4z9+16605/4y3z10+17505/8y2z11+6075/8yz12+405/4z13\
   +295245/8y7z7+2066715/16y6z8+2263545/16y5z9+492075/16y4z10-1869885/16y3z1\
   1-2263545/16y2z12-1082565/16yz13-98415/8z14+292655/564y6z9-1745765/1034y4\
   z11+79997752370/26367y3z12+320135288395/70312y2z13+320254000415/70312yz14\
   +320314393255/210936z15-2460867528553425/52593376y3z13-4695016674413115/6\
   6937024y2z14-4695016674413115/66937024yz15-17193038018796315/736307264z16\
   +3522639307208265/196178752y2z15+3522639307208265/196178752yz16+352263930\
   7208265/196178752z17+7425/2yz17-81675/16z18-1476225/2yz18-10333575/16z19+\
   4690224057275/210936yz19-14594633575/52734z20-3664755290597206725/3681536\
   32yz20-7069437419650553025/1472614528z21+9050586201699896526975/113391318\
   656yz21+2289566926700140050675/56695659328z22-737379565608980793653125/31\
   976772608yz22-87699613731545348385773125/8617740217856z23-182612406319939\
   24170922643625/68941921742848z24
==> j[116]=xy8z+y9z+y8z2+xyz8+y2z8+yz9-5335/8y10z3+59625/16y8z5+7111y7z6+2066\
   9/4y6z7-2859/2y5z8-99575/16y4z9-47057/8y3z10-50433/16y2z11-17211/16yz12-1\
   121/8z13-1086453/16y7z7-7605171/32y6z8-8329473/32y5z9-1810755/32y4z10+688\
   0869/32y3z11+8329473/32y2z12+3983661/32yz13+362151/16z14-7832869/10152y6z\
   9+94544155/37224y4z11-1324972802525/237303y3z12-10603655889767/1265616y2z\
   13-3535623463679/421872yz14-10608492320135/3796848z15+9061585278322365/10\
   5186752y3z13+190169117118073845/1472614528y2z14+190169117118073845/147261\
   4528yz15+63306923221560735/1472614528z16-15268309186330971/392357504y2z15\
   -15268309186330971/392357504yz16-15268309186330971/392357504z17-13105/4yz\
   17+242915/32z18+5432265/4yz18+38025855/32z19-155350412628845/3796848yz19+\
   319673598265/632808z20+13486659696913514325/736307264yz20+236504046359113\
   0575/267748096z21-33406180995035979489015/226782637312yz21-16896023182121\
   198479515/226782637312z22+24251267359343224416321425/575581906944yz22+292\
   591298284635838904393275/16328349886464z23+73556186438621967928969329225/\
   137883843485696z24
==> j[117]=xy9+y10+y9z+y10z2+5/3y9z3-5/3y8z4-50/3y7z5-42y6z6-182/3y5z7-170/3y\
   4z8-35y3z9-41/3y2z10-11/3yz11-2/3z12+4765/8y10z3-20835/16y8z5+7895y7z6+13\
   0465/4y6z7+114225/2y5z8+948125/16y4z9+314315/8y3z10+269835/16y2z11+78825/\
   16yz12+6155/8z13+10426687/144y7z7+30873054127/121824y6z8+11274323719/4060\
   8y5z9+2458368725/40608y4z10-593601799/2592y3z11-3754171309/13536y2z12-538\
   6884667/40608yz13-1469170099/60912z14+157775815/59643y6z9-32234694805/349\
   9056y4z11+132459543842675/22306482y3z12+530472611040205/59483952y2z13+885\
   03433475315/9913992yz14+531270309400015/178451856z15-41040285445422225/44\
   9434304y3z13-9462830112598910535/69212882816y2z14-9462830112598910535/692\
   12882816yz15-3142626154003887885/69212882816z16+29296924739250320455/3319\
   34448384y2z15+29296922526353997895/331934448384yz16+29296929165042965575/\
   331934448384z17+36475/4yz17-677825/32z18-7346578175/5076yz18-154292180075\
   /121824z19+88347631988125/2027862yz19-3117406501025/5407632z20-6752285131\
   16377969275/34606441408yz20-1302151710048778875975/138425765632z21+139228\
   519919258221599687625/911326028038272yz21+1743966399311633203011895375/21\
   871824672918528z22-118508469190607300468707625/2459304511488yz22-10760550\
   46211427557073665952125/58324865794449408z23-5838231768558396060012171522\
   566425/4724314129350402048z24
==> j[118]=x2y8-y10-2y9z-y8z2-2xyz8-2y2z8-2yz9-2y10z2-10/3y9z3+10/3y8z4+100/3\
   y7z5+84y6z6+364/3y5z7+340/3y4z8+70y3z9+82/3y2z10+22/3yz11+4/3z12+285/2y10\
   z3-19395/4y8z5-30012y7z6-75567y6z7-111366y5z8-424275/4y4z9-133629/2y3z10-\
   109701/4y2z11-30807/4yz12-2517/2z13-324305/36y7z7-960084065/30456y6z8-352\
   111241/10152y5z9-80260315/10152y4z10+18125705/648y3z11+115402115/3384y2z1\
   2+165809429/10152yz13+45230621/15228z14-100544483/26508y6z9+237709835/176\
   72y4z11-878887041815/1239249y3z12-445776746493/413083y2z13-3610665711089/\
   3304664yz14-1814970972335/4956996z15+6371084862201555/617972168y3z13+6551\
   6470444195875/4325805176y2z14+65516470444195875/4325805176yz15+1045943820\
   4392495/2162902588z16-1322346584403667349/15087929472y2z15-13223463832312\
   74389/15087929472yz16-1322346986748453269/15087929472z17-11685yz17+217455\
   /8z18+226516945/1269yz18+4763875045/30456z19-17518941026505/3304664yz19+1\
   433940976805/9913992z20+10335055322881190925/4325805176yz20+9929241502658\
   605125/8651610352z21-864642790472748632330995/82847820730752yz21-10026096\
   865611471994802315/994173848769024z22+7037175725963290260484475/563590617\
   216yz22+1956021496085718380059557275/883710087794688z23+12534642939968108\
   162393838568625/9760979606095872z24
==> j[119]=x2z7+2xyz7+y2z7+2xz8+2yz8+z9+30800/423y6z8+30800/141y5z9+486470/15\
   51y4z10+26060/99y3z11+70670/517y2z12+64340/1551yz13+88810/4653z14-7405525\
   /24299y6z9+353409675/534578y4z11+5600660600/4543913y3z12+5809184925/45439\
   13y2z13+5610405375/9087826yz14+1593357500/4543913z15-9744523043625/308986\
   084y3z13+7865902302069825/47583856936y2z14+7865902302069825/47583856936yz\
   15+9366558850788075/47583856936z16+214662048107506095/1584756481y2z15+214\
   662048107506095/1584756481yz16+214662048107506095/1584756481z17+49000/141\
   yz18+91175/423z19+8122630625/826166yz19+1475494125/75106z20+1556636160857\
   9625/11895964234yz20+612200237651841375/95167713872z21+535252907767487420\
   2025/7327913968144yz21+87107704943898257223025/43967483808864z22-15588448\
   3661694095625/9887554688yz22+1379179562234115213518045625/117246623490304\
   z23-266465097028654098023229668060875/180442553551577856z24
==> j[120]=xy2z6+y3z6+xyz7+2y2z7+yz8-20y10z2-100y9z3-315y8z4-660y7z5-840y6z6-\
   630y5z7-210y4z8+60y3z9+90y2z10+35yz11+25z12-1852/3y7z7-2785226/1269y6z8-1\
   617746/423y5z9-18848465/4653y4z10-818198/297y3z11-1842938/1551y2z12-16031\
   03/4653yz13-949063/13959z14-200660825/72897y6z9+2647176050/267289y4z11+24\
   7943744230/13631739y3z12+79951936540/4543913y2z13+34949943690/4543913yz14\
   +29435639665/13631739z15-750364472331675/308986084y3z13-19020105126696667\
   5/47583856936y2z14-190201051266966675/47583856936yz15-74644922527888725/4\
   7583856936z16-11452257803653034639/50712207392y2z15-11452223572913045039/\
   50712207392yz16-11452234983159708239/50712207392z17-563860/423yz18+200328\
   5/2538z19+161736531775/2478498yz19+43666153975/413083z20-1080912810452488\
   875/11895964234yz20-4355066495750932125/95167713872z21+186101626356969697\
   55887045/417691096184208yz21+234245080384114055828470205/1002458630842099\
   2z22+767027925222825847661875/19775109376yz22-181500088817628459186354187\
   5/468986493961216z23+666402566762256623805660342503825/270663830327366784\
   z24
==> j[121]=x2yz6-y3z6-2y2z7-yz8+40y10z2+200y9z3+630y8z4+1320y7z5+1680y6z6+126\
   0y5z7+420y4z8-120y3z9-180y2z10-70yz11-50z12+3392/3y7z7+5062336/1269y6z8+2\
   917726/423y5z9+33733390/4653y4z10+1453558/297y3z11+3249508/1551y2z12+2849\
   128/4653yz13+1667198/13959z14+824859875/145794y6z9-21530818075/1069156y4z\
   11-503166594530/13631739y3z12-324495046255/9087826y2z13-282966185235/1817\
   5652yz14-60700373165/13631739z15+273674327539725/56179288y3z13+1075367159\
   69527575/13595387696y2z14+107536715969527575/13595387696yz15+413075287049\
   14125/13595387696z16+1390709606701412201/3622300528y2z15+1390704716595699\
   401/3622300528yz16+1390706346630937001/3622300528z17+929435/423yz18-20988\
   05/1269z19-60756900425/450636yz19-365571595775/1652332z20+153631004775148\
   125/849711731yz20+2397615030608356125/27190775392z21-10677692774577796473\
   522745/119340313195488yz21-8543001261389272550615555/179010469793232z22-1\
   533912321925569677241875/19775109376yz22+15562075862209915374841875/83747\
   58820736z23-647400216245483540020440549874525/154665045901352448z24
==> j[122]=xy3z5+y4z5+y3z6-xyz7-y2z7-yz8+30y10z2+135y9z3+405y8z4+720y7z5+630y\
   6z6-630y4z8-720y3z9-405y2z10-120yz11-45z12+2078y7z7+340566/47y6z8+583893/\
   47y5z9+6709595/517y4z10+95958/11y3z11+1933377/517y2z12+569694/517yz13+102\
   533/517z14-94912875/97196y6z9-2911102875/2138312y4z11-13490258445/4543913\
   y3z12-178197534495/18175652y2z13-306906320115/36351304yz14-53243896545/90\
   87826z15+5204006726201775/1235944336y3z13+171211027298041575/27190775392y\
   2z14+171211027298041575/27190775392yz15+56722879321602525/27190775392z16-\
   12628824906906423/1034943008y2z15-12630222079967223/1034943008yz16-126295\
   23493436823/1034943008z17+341835/94yz18-290635/94z19+13423502475/3304664y\
   z19-314243831475/3304664z20+320302952555061375/1699423462yz20+42384348010\
   01854125/54381550784z21-1026776842710772806212955/11365744113856yz21-5814\
   88683445294414836705/11365744113856z22-3080895255663027470128125/39550218\
   752yz22-164562449972300743426396875/4785576468992z23+21707136779621806841\
   0739043975/1636667152395264z24
==> j[123]=xy4z4+y5z4+y4z5+xyz7+y2z7+yz8-50y10z2-220y9z3-720y8z4-1380y7z5-147\
   0y6z6-630y5z7+420y4z8+780y3z9+495y2z10+155yz11+55z12-9736/3y7z7-14313938/\
   1269y6z8-8159288/423y5z9-93567545/4653y4z10-4008014/297y3z11-8977919/1551\
   y2z12-7971314/4653yz13-4227799/13959z14+68457475/291588y6z9+13681240225/2\
   138312y4z11+177807853615/13631739y3z12+366210664405/18175652y2z13+4998402\
   44985/36351304yz14+187299515465/27263478z15-724354328812725/112358576y3z1\
   3-2076609628894013775/190335427744y2z14-2076609628894013775/190335427744y\
   z15-849553395885257625/190335427744z16-160256670164141259683/202848829568\
   y2z15-160256259395261384483/202848829568yz16-160256441959207995683/202848\
   829568z17-2308780/423yz18+6216265/1269z19+8685932675/901272yz19+322019002\
   025/3304664z20-27489769156849798125/95167713872yz20-58343927494571985375/\
   380670855488z21+440042360916873913967311355/3341528769473664yz21+13866977\
   9041579387287118415/2110439222825472z22+4618755900045255937019375/3955021\
   8752yz22-36008438343336428263980999375/1875945975844864z23+18651077950560\
   763379965724423502925/2165310642618934272z24
==> j[124]=xy5z3+y6z3+y5z4-xyz7-y2z7-yz8+75y10z2+255y9z3+810y8z4+1440y7z5+126\
   0y6z6-1260y4z8-1440y3z9-810y2z10-255yz11-75z12+5806y7z7+2841226/141y6z8+1\
   616641/47y5z9+18500915/517y4z10+790633/33y3z11+5298074/517y2z12+1573338/5\
   17yz13+822383/1551z14-1051504275/194392y6z9+18635231025/4276624y4z11+2532\
   457335/534578y3z12-19479647115/2138312y2z13-57594525255/4276624yz14-90214\
   64715/1069156z15+1178008818946425/145405216y3z13+334460480269289625/22392\
   403264y2z14+334460480269289625/22392403264yz15+153047122151540175/2239240\
   3264z16+719571432155612807313/405697659136y2z15+719570336771933140113/405\
   697659136yz16+719570884463772973713/405697659136z17+444335/47yz18-2577985\
   /282z19+41330722575/388784yz19+21221903925/388784z20+4500217777107531375/\
   11196201632yz20+10959190540020356625/44784806528z21-224278299674407075673\
   27655/131040343900928yz21-40042442452331792855977495/524161375603712z22-6\
   5969216879971186198125/422996992yz22+19349233550602257185524153125/220699\
   526569984z23-547349474955285406068286343798975/28304714282600448z24
==> j[125]=xy6z2+y7z2+y6z3+xyz7+y2z7+yz8-355/2y10z2-1205/2y9z3-3375/2y8z4-277\
   5y7z5-2415y6z6-315y5z7+1725y4z8+4125/2y3z9+2295/2y2z10+745/2yz11+100z12-3\
   1150/3y7z7-45777290/1269y6z8-26050685/423y5z9-297999890/4653y4z10-1272351\
   5/297y3z11-28342040/1551y2z12-25246850/4653yz13-13125775/13959z14+2663907\
   5875/1166352y6z9-385849344275/8553248y4z11-4315826223875/54526956y3z12-38\
   48424154775/72702608y2z13-1137409456875/145405216yz14+368262621275/109053\
   912z15-52681365510757875/4943777344y3z13-18532123461292345875/76134171097\
   6y2z14-18532123461292345875/761341710976yz15-10419193172635633125/7613417\
   10976z16-4320121933417271525675/811395318272y2z15-4320118921112152440875/\
   811395318272yz16-4320120746751618552875/811395318272z17-14272175/846yz18+\
   42741875/2538z19-22279985045375/39655968yz19-9601551844375/13218656z20-24\
   7141518502291228125/380670855488yz20-772223420645141056875/1522683421952z\
   21+3213553975084018826620463375/13366115077894656yz21+1132652770383181981\
   3911045125/160393380934735872z22+37056842393615457279160625/158200875008y\
   z22-2693519950512870200368605444375/7503783903379456z23+50276868210273583\
   1416635050151467125/8661242570475737088z24
==> j[126]=xy7z+y8z+y7z2-xyz7-y2z7-yz8+1575/4y10z2+6075/4y9z3+16785/4y8z4+124\
   65/2y7z5+8505/2y6z6-2745/2y5z7-5715y4z8-22275/4y3z9-11295/4y2z10-3645/4yz\
   11-405/2z12+26386y7z7+25870777/282y6z8+7363186/47y5z9+84211265/517y4z10+7\
   190251/66y3z11+23985749/517y2z12+7127968/517yz13+3682213/1551z14-70261363\
   275/777568y6z9+3578674608225/17106496y4z11+13803120524955/36351304y3z12+4\
   2559793289405/145405216y2z13+24282118238985/290810432yz14+243093061005/72\
   702608z15+219829053669878025/9887554688y3z13+81935593458328091025/1522683\
   421952y2z14+81935593458328091025/1522683421952yz15+48081919193166875175/1\
   522683421952z16+21153454501046869733877/1622790636544y2z15+21153443273364\
   153145077/1622790636544yz16+21153454227200949817077/1622790636544z17+4069\
   895/94yz18-12315035/282z19+59104279557975/26437312yz19+6914963996775/2403\
   392z20+1272015414563672833875/761341710976yz20+3948999746768098322625/304\
   5366843904z21-5091972562174352275284930915/8910743385263104yz21-523404462\
   6335224223536226035/35642973541052416z22-178809427626950255255791875/3164\
   01750016yz22+12999472603018820168300985425625/15007567806758912z23-273534\
   508429541764978254873181306175/1924720571216830464z24
==> j[127]=x2y7+2xy8+y9-y7z2+2xyz7+2y2z7+2yz8-1575/2y10z2-6075/2y9z3-16785/2y\
   8z4-12465y7z5-8505y6z6+2745y5z7+11430y4z8+22275/2y3z9+11295/2y2z10+3645/2\
   yz11+405z12-57430y7z7-84523900/423y6z8-48159295/141y5z9-551327365/1551y4z\
   10-23566060/99y3z11-52476815/517y2z12-46781395/1551yz13-24180350/4653z14+\
   41319886975/194392y6z9-2143671977625/4276624y4z11-8272270195775/9087826y3\
   z12-26190379979925/36351304y2z13-15938336340225/72702608yz14-414059030575\
   /18175652z15-101980820865754125/2471888672y3z13-42412245122448887625/3806\
   70855488y2z14-42412245122448887625/380670855488yz15-26707198709122752375/\
   380670855488z16-12801799511653343325675/405697659136y2z15-128017938978119\
   85031275/405697659136yz16-12801799374730383367275/405697659136z17-1356170\
   0/141yz18+39724100/423z19-35030403243875/6609328yz19-46842320240625/66093\
   28z20-652521151802866123125/190335427744yz20-2191183230066578218125/76134\
   1710976z21+2472852965767345174103532125/2227685846315776yz21+541274186016\
   8852699658167375/26732230155789312z22+89531761268106855553048125/79100437\
   504yz22-8251104507034647168476750469375/3751891951689728z23+2613773009414\
   8671190901710522463875/75975812021716992z24
==> j[128]=x2z6+2xyz6+y2z6+2xz7+2yz7+z8-40/3y10z3+90y8z5+200/3y7z6-560/3y6z7-\
   500y5z8-1720/3y4z9-1160/3y3z10-160y2z11-50yz12+10/3z13-1620y7z7-5670y6z8-\
   6210y5z9-1350y4z10+5130y3z11+6210y2z12+2970yz13+540z14-225940/3807y6z9+25\
   2800/1269y4z11-94644147700/711909y3z12-47377768060/237303y2z13-1580834722\
   0/79101yz14-47446905700/711909z15+3364916372775/1643543y3z13+706265121681\
   45/23009602y2z14+70626512168145/23009602yz15+23517682949295/23009602z16-5\
   65561885095/1114652y2z15-565561885095/1114652yz16-565561885095/1114652z17\
   -50/3yz17+1550/3z18+32400yz18+28350z19-694290436600/711909yz19+3070849900\
   /237303z20+5026652081876800/11504801yz20+9698213345429825/46019204z21-222\
   2587172966312925/644268856yz21-2259131759526082725/1288537712z22+56391180\
   289000559885375/53960803776yz22+2633081850556857806438875/5288158770048z2\
   3+3576228271655061383377875/391715464448z24
==> j[129]=xy2z5+y3z5+xyz6+2y2z6+yz7-20y10z-100y9z2-315y8z3-660y7z4-840y6z5-6\
   30y5z6-210y4z7+60y3z8+90y2z9+35yz10+25z11-395/9y10z3+735/2y8z5-1016/9y7z6\
   -22456/9y6z7-16576/3y5z8-115975/18y4z9-41521/9y3z10-12373/6y2z11-3721/6yz\
   12-1048/9z13+1869669/2y7z7+614619501/188y6z8+1062924363/188y5z9+123356141\
   55/2068y4z10+179297493/44y3z11+3687230007/2068y2z12+1110546099/2068yz13+9\
   5800659/1034z14+804397012860647/188949024y6z9-15602820876389455/138562617\
   6y4z11-203853103793475175/8833366872y3z12-259235050033539427/11777822496y\
   2z13-84407381722819373/7851881664yz14-56357488165829285/17666733744z15+46\
   31492924481515985/9887554688y3z13-409324695568394521695/1522683421952y2z1\
   4-409323667757084704095/1522683421952yz15-1122573920731008104985/15226834\
   21952z16-1004310242269857942646671/1622790636544y2z15-1004310242269857942\
   646671/1622790636544yz16-1004310242269857942646671/1622790636544z17-24355\
   /9yz17+57595/36z18+193829265/94yz18-223553505/188z19-818412352222464115/6\
   424266816yz19-32803307856490465/194674752z20-5388710239243891036475/22840\
   25132928yz20-263107757176333952120725/9136100531712z21-182244705469419476\
   2245764445/468986493961216yz21-20080245422183401652789889405/187594597584\
   4864z22+113986257570215211655744715675/486942293274624yz22-12088489379792\
   71098737722955750921825/23096646854601965568z23+1442880029414200317215820\
   729865963225/213857841246314496z24
==> j[130]=x2yz5-y3z5-2y2z6-yz7+40y10z+200y9z2+630y8z3+1320y7z4+1680y6z5+1260\
   y5z6+420y4z7-120y3z8-180y2z9-70yz10-50z11+850/9y10z3-780y8z5+796/9y7z6+42\
   476/9y6z7+31976/3y5z8+112300/9y4z9+80426/9y3z10+11974/3y2z11+3628/3yz12+2\
   018/9z13-1869102y7z7-307216479/47y6z8-531360027/47y5z9-6167562795/517y4z1\
   0-89668497/11y3z11-1844738703/517y2z12-555810471/517yz13-95898372/517z14-\
   804398851081031/94474512y6z9+15602866124891215/692813088y4z11+20405975465\
   4691975/4416683436y3z12+259647898634648371/5888911248y2z13+84682357715382\
   029/3925940832yz14+56563631218665005/8833366872z15-4635066921850543905/49\
   43777344y3z13+58356759220664949465/108763101568y2z14+58356612390477832665\
   /108763101568yz15+160328133614585504175/108763101568z16+14347281441368576\
   1777849/115913616896y2z15+143472814413685761777849/115913616896yz16+14347\
   2814413685761777849/115913616896z17+46130/9yz17-30830/9z18-194362245/47yz\
   18+111310395/47z19+819511598522525395/3212133408yz19+360832440850836395/1\
   070711136z20+744860731757269593725/163144652352yz20+375386403523201080850\
   75/652578609408z21+260390498778722697021188955/33499035282944yz21+2868685\
   511574385377758919195/133996141131776z22-114073045586090396941079547275/2\
   43471146637312yz22+9089070449293757356070411311657325/86829499453390848z2\
   3-206125589983503761313199514770734775/15275560089022464z24
==> j[131]=xy3z4+y4z4+y3z5-xyz6-y2z6-yz7+30y10z+135y9z2+405y8z3+720y7z4+630y6\
   z5-630y4z7-720y3z8-405y2z9-120yz10-45z11+120y10z3-2295/2y8z5+128y7z6+6958\
   y6z7+15744y5z8+36925/2y4z9+13243y3z10+11847/2y2z11+3609/2yz12+324z13-3722\
   193/2y7z7-1224482697/188y6z8-2122324011/188y5z9-24701770935/2068y4z10-360\
   682821/44y3z11-7470910179/2068y2z12-2265955803/2068yz13-197536023/1034z14\
   -5532300820049/874764y6z9+109077511802485/6414936y4z11+1491461921083975/4\
   0895217y3z12+1927375726721059/54526956y2z13+666811250933291/36351304yz14+\
   212704937294110/40895217z15-891192456464822415/1235944336y3z13+1702389304\
   3708962405/190335427744y2z14+17023636090881508005/190335427744yz15+154267\
   402862877887115/190335427744z16+151327952333723984400639/202848829568y2z1\
   5+151327952333723984400639/202848829568yz16+151327952333723984400639/2028\
   48829568z17+7740yz17-19785/4z18-202942665/47yz18+411812235/188z19+5891205\
   044832205/29741976yz19+2337511888271705/9913992z20-306082208861311461825/\
   95167713872yz20+233415000559024664665575/7232746254272z21+290142075266988\
   130032299505/58623311745152yz21+3191458641469791325291722645/234493246980\
   608z22-2437033022855320512496464425/6763087406592yz22+2004887871272822271\
   1957037860303825/320786761869471744z23-3623478771502765528379800187878702\
   5/4455371692631552z24
==> j[132]=xy4z3+y5z3+y4z4+xyz6+y2z6+yz7-50y10z-220y9z2-720y8z3-1380y7z4-1470\
   y6z5-630y5z6+420y4z7+780y3z8+495y2z9+155yz10+55z11-2185/18y10z3+5235/4y8z\
   5-6128/9y7z6-88543/9y6z7-63808/3y5z8-884225/36y4z9-314711/18y3z10-93413/1\
   2y2z11-28451/12yz12-7613/18z13+11192229/4y7z7+78319203/8y6z8+135607689/8y\
   5z9+1576214865/88y4z10+1079368113/88y3z11+474097221/88y2z12+143337897/88y\
   z13+12451227/44z14+42540018227713/4020192y6z9-833270903243945/29481408y4z\
   11-11158833942205025/187943976y3z12-14307641434744733/250591968y2z13-4816\
   559171447467/167061312yz14-3121285971998215/375887952z15+2496681094159812\
   15/210373504y3z13-1676788895998782615/4628217088y2z14-1676779523859179415\
   /4628217088yz15-7169482096406145345/4628217088z16-6732318672586534225167/\
   4932494336y2z15-6732318672586534225167/4932494336yz16-6732318672586534225\
   167/4932494336z17-89740/9yz17+460745/72z18+12674835/2yz18-27334515/8z19-4\
   4312417754736085/136686528yz19-18420711874503085/45562176z20+196812641159\
   8600925/6942325632yz20-32367819089415896887175/527616748032z21-1258795595\
   2956102969534765/1425490863104yz21-138624835123235170022966685/5701963452\
   416z22+6144605253204459857104248325/10360474324992yz22-806195415128807593\
   6198066187361025/70202574026145792z23+9672180251356879848218138917918325/\
   650023833575424z24
==> j[133]=xy5z2+y6z2+y5z3-xyz6-y2z6-yz7+75y10z+255y9z2+810y8z3+1440y7z4+1260\
   y6z5-1260y4z7-1440y3z8-810y2z9-255yz10-75z11+205/4y10z3-7635/8y8z5+3116y7\
   z6+32837/2y6z7+31488y5z8+277525/8y4z9+96239/4y3z10+84091/8y2z11+25417/8yz\
   12+2247/4z13-29902689/8y7z7-9837034281/752y6z8-17023686003/752y5z9-197722\
   000755/8272y4z10-2876744133/176y3z11-59271248367/8272y2z12-17890413219/82\
   72yz13-1558721529/4136z14-11064857071703/874764y6z9+109080655576085/32074\
   68y4z11+2930351142316300/40895217y3z12+7499086179696371/109053912y2z13+12\
   63447963369827/36351304yz14+3192705945375635/327161736z15-351579544177336\
   6185/2471888672y3z13+79401524534935962885/380670855488y2z14+7940049672362\
   6145285/380670855488yz15+620833508662379446575/380670855488z16+1513275320\
   03322233446659/101424414784y2z15+151327532003322233446659/101424414784yz1\
   6+151327532003322233446659/101424414784z17+24685/2yz17-140105/16z18-78236\
   1585/94yz18+3500361405/752z19+11502139132628635/29741976yz19+233810206494\
   0505/4956996z20-421315686877503345075/190335427744yz20+963092838906357780\
   203775/14465492508544z21+578311960987603390880627685/58623311745152yz21+7\
   97365829330436808463987655/29311655872576z22-9613866436536887157049371325\
   /13526174813184yz22+5012409345277225195280817235880675/40098345233683968z\
   23-579753714099344109212936261465069775/35642973541052416z24
==> j[134]=xy6z+y7z+y6z2+xyz6+y2z6+yz7-355/2y10z-1205/2y9z2-3375/2y8z3-2775y7\
   z4-2415y6z5-315y5z6+1725y4z7+4125/2y3z8+2295/2y2z9+745/2yz10+100z11+24965\
   /72y10z3-27195/16y8z5-85985/9y7z6-876415/36y6z7-221585/6y5z8-5217875/144y\
   4z9-1685885/72y3z10-462455/48y2z11-135245/48yz12-36005/72z13+90156375/16y\
   7z7+29671452975/1504y6z8+51237159525/1504y5z9+593233060725/16544y4z10+858\
   1894275/352y3z11+175264666425/16544y2z12+52418668725/16544yz13+4569203775\
   /8272z14+4527194666704915/377898048y6z9-91063044331423475/2771252352y4z11\
   -1237615165679062475/17666733744y3z12-1576377074570557715/23555644992y2z1\
   3-534894131835638785/15703763328yz14-312627981834621175/35333467488z15+26\
   909968131759537225/19775109376y3z13+1414479550383030080625/3045366843904y\
   2z14+1414490856307438074225/3045366843904yz15-2729651088058929442425/3045\
   366843904z16-3260038437503090421268275/3245581273088y2z15-326003843750309\
   0421268275/3245581273088yz16-3260038437503090421268275/3245581273088z17-3\
   22825/36yz17+2126975/288z18+1100669625/94yz18-11440903875/1504z19-4693998\
   406299868175/12848533632yz19-1767548653539102175/4282844544z20+3751356791\
   6654865942125/4568050265856yz20-14919266617134945384233375/34717182020505\
   6z21-6871474217877063073648628625/937972987922432yz21-7625237430178998007\
   4234957625/3751891951689728z22+661763841336628411346870582875/97388458654\
   9248yz22-3808640826617296706574614083873538125/46193293709203931136z23+46\
   83340666688735257491327168397881875/427715682492628992z24
==> j[135]=x2y6+2xy7+y8-y6z2-2xyz6-2y2z6-2yz7+355y10z+1205y9z2+3375y8z3+5550y\
   7z4+4830y6z5+630y5z6-3450y4z7-4125y3z8-2295y2z9-745yz10-200z11-7880/9y10z\
   3+4125y8z5+182776/9y7z6+443696/9y6z7+219626/3y5z8+639835/9y4z9+411086/9y3\
   z10+55879/3y2z11+16273/3yz12+8768/9z13-11290212y7z7-1857865224/47y6z8-320\
   6045637/47y5z9-37085969520/517y4z10-535648557/11y3z11-10913086818/517y2z1\
   2-3256579701/517yz13-567589182/517z14-4527226432785547/188949024y6z9+9106\
   3826265715955/1385626176y4z11+1222601537677268075/8833366872y3z12+1546341\
   988228093127/11777822496y2z13+514866309979671673/7851881664yz14+297605578\
   453052185/17666733744z15-26650645451955170685/9887554688y3z13-13546032070\
   76200144365/1522683421952y2z14-1354614513000608137965/1522683421952yz15+2\
   749591738675886931525/1522683421952z16+3260024493763254599915091/16227906\
   36544y2z15+3260024493763254599915091/1622790636544yz16+326002449376325459\
   9915091/1622790636544z17+164030/9yz17-236035/18z18-2162488815/94yz18+1464\
   107115/94z19+4613994316675472615/6424266816yz19+1767875680323979615/21414\
   22272z20-24781578509803143452225/2284025132928yz20+1538592913564430065729\
   1075/173585910102528z21+6850490564209627802665518345/468986493961216yz21+\
   76210039283786401433405282505/1875945975844864z22-65547918385969582582762\
   4430175/486942293274624yz22+3808773256633029793294610128016151325/2309664\
   6854601965568z23-4683314916222080708082298626954441725/213857841246314496\
   z24
==> j[136]=x2z5+2xyz5+y2z5+2xz6+2yz6+z7-40/3y10z2-200/3y9z3-210y8z4-440y7z5-5\
   60y6z6-420y5z7-140y4z8+40y3z9+60y2z10+70/3yz11+50/3z12-3080/9y7z7-4597120\
   /3807y6z8-2642860/1269y5z9-2765600/1269y4z10-118520/81y3z11-262340/423y2z\
   12-230000/1269yz13-122080/3807z14-43358150/19881y6z9+542829800/72897y4z11\
   +50774168200/3717747y3z12+16314938050/1239249y2z13+2362277150/413083yz14+\
   6278620000/3717747z15-127759277025000/77246521y3z13-1388927940002550/5407\
   25647y2z14-1388927940002550/540725647yz15-44964818257050/49156877z16-9666\
   5296634185225/1728825252y2z15-96664518662821825/1728825252yz16-9666477798\
   6609625/1728825252z17-799400/1269yz18+2186300/3807z19+197714388625/371774\
   7yz19+108882107750/1239249z20-2918681078960250/49156877yz20-1396246436249\
   4000/540725647z21+3444272968024528433621125/113915753504784yz21+291115180\
   3095380873115875/170873630257176z22+766509635493484109048125/29662664064y\
   z22+29705816576394232481138125/5329391976832z23+4500153574996703406538290\
   7460375/73817408271100032z24
==> j[137]=xy2z4+y3z4+xyz5+2y2z5+yz6-20y10-100y9z-315y8z2-660y7z3-840y6z4-630\
   y5z5-210y4z6+60y3z7-135xyz8-45y2z8-100yz9+25z10-1610/9y10z2-5140/9y9z3-96\
   5y8z4-1480/3y7z5+3710/3y6z6+3080y5z7+10370/3y4z8+6980/3y3z9+925y2z10+2300\
   /9yz11+385/9z12+87975/2y10z3+840375/4y8z5+879840y7z6+1538415y6z7+1474470y\
   5z8+3120975/4y4z9+326205/2y3z10+33345/4y2z11-44685/4yz12-17235/2z13+38563\
   8815/108y7z7+1141900440815/91368y6z8+416748918215/30456y5z9+90281767525/3\
   0456y4z10-22012332455/1944y3z11-139084686605/10152y2z12-199537054955/3045\
   6yz13-54418120115/45684z14-1912706515/59643y6z9+88840501375/874764y4z11+1\
   7549668629800/59643y3z12+35091245489405/79524y2z13+32159571656840/72897yz\
   14+35082820132475/238572z15-331518523667152725/72702608y3z13-992594778772\
   803975/145405216y2z14-992594778772803975/145405216yz15-329557731438498525\
   /145405216z16+113555964610605234325/11854801728y2z15+11355597192106629992\
   5/11854801728yz16+113555948902992944725/11854801728z17-1780425yz17-718447\
   5/8z18-272059126825/3807yz18-5712653134075/91368z19+2827267021747775/1312\
   146yz19-21358112205325/874764z20-70125515834268688875/72702608yz20-135173\
   867341968480375/290810432z21+23183458241171746356470875/2871825718608yz21\
   +578558833987552408530674875/137847634493184z22-7873849209987716152157851\
   25/397828670976yz22-6966530415752642565239071625/40843743553536z23-313607\
   3914867803773218240136443375/29775089050527744z24
==> j[138]=x2yz4-y3z4-2y2z5-yz6+40y10+200y9z+630y8z2+1320y7z3+1680y6z4+1260y5\
   z5+420y4z6-120y3z7+270xyz8+90y2z8+200yz9-50z10+3280/9y10z2+10490/9y9z3+19\
   90y8z4+3080/3y7z5-7840/3y6z6-6580y5z7-22420/3y4z8-15280/3y3z9-2060y2z10-5\
   110/9yz11-890/9z12-87975y10z3-840375/2y8z5-1759680y7z6-3076830y6z7-294894\
   0y5z8-3120975/2y4z9-326205y3z10-33345/2y2z11+44685/2yz12+17235z13-3855939\
   35/54y7z7-1141769232815/45684y6z8-416674662935/15228y5z9-90204989125/1522\
   8y4z10+22015593095/972y3z11+139091906525/5076y2z12+199543535435/15228yz13\
   +54419763635/22842z14+3719602805/59643y6z9-43563970400/218691y4z11-656349\
   8116151800/11153241y3z12-6562045593979985/7435494y2z13-2186854806328795/2\
   478498yz14-6560551756919225/22306482z15+5636592788190616575/617972168y3z1\
   3+118130666021815191975/8651610352y2z14+118130666021815191975/8651610352y\
   z15+39218366987146559925/8651610352z16-404241320171262378095/20745903024y\
   2z15-404241355093532468495/20745903024yz16-404241268306504818095/20745903\
   024z17+3560850yz17+7184475/4z18+544122978050/3807yz18+5712586856875/45684\
   z19-96126468962468975/22306482yz19+181445144883700/3717747z20+83452069528\
   37589967875/4325805176yz20+16085912822731650765375/17303220704z21-1105684\
   7052455623089489713975/683494521028704yz21-4313891426610580568005726325/5\
   12620890771528z22+13297493452729982339683359625/3381543703296yz22+9147355\
   8207040733909350464875/303775342679424z23+3795190175377956333920584649269\
   08125/1771617798506400768z24
==> j[139]=xy3z3+y4z3+y3z4-xyz5-y2z5-yz6+30y10+135y9z+405y8z2+720y7z3+630y6z4\
   -630y4z6-720y3z7+270xyz8-135y2z8+150yz9-45z10+390y10z2+1495y9z3+3105y8z4+\
   3570y7z5+1470y6z6-1890y5z7-3630y4z8-2895y3z9-1215y2z10-335yz11-65z12-4893\
   75/8y10z3-7660575/16y8z5-1404405y7z6-6436395/4y6z7-757755/2y5z8+17697825/\
   16y4z9+11534535/8y3z10+11875815/16y2z11+3904605/16yz12+414855/8z13-186570\
   055/48y7z7-184150364285/13536y6z8-67208038085/4512y5z9-14559824975/4512y4\
   z10+3549863045/288y3z11+22429897495/1504y2z12+32179064545/4512yz13+877588\
   2185/6768z14+1970986785/8836y6z9-283481868375/388784y4z11-265595666951625\
   /826166y3z12-3181635711832995/6609328y2z13-794204130017655/1652332yz14-10\
   58349135631575/6609328z15+24762740108314000725/4943777344y3z13+5191852859\
   03995733025/69212882816y2z14+519185285903995733025/69212882816yz15+172506\
   924387599722875/69212882816z16-475892294042319376455/36881605376y2z15-475\
   892344754526768455/36881605376yz16-475892218435028355655/36881605376z17+1\
   5884775/4yz17+26973675/32z18+43874244925/564yz18+921266693425/13536z19-77\
   65087811458575/3304664yz19+146456942381175/6609328z20+3636342552610189369\
   0125/34606441408yz20+70081263027558240944625/138425765632z21-694538650194\
   682283342883775/75943835669856yz21-3826744152882804943302504225/810067580\
   478464z22+5697616275288902757071551125/3005816625152yz22-1493873395012718\
   830990514070375/6480540643827712z23+68320986527833081341219282225285875/5\
   24923792150044672z24
==> j[140]=x2y2z3-y4z3-2y3z4-y2z5-20y10-70y9z-180y8z2-120y7z3+420y6z4+1260y5z\
   5+1680y4z6+1320y3z7-270xyz8+360y2z8-100yz9+40z10-3920/9y10z2-17140/9y9z3-\
   4490y8z4-19780/3y7z5-17920/3y6z6-2800y5z7+620/3y4z8+3530/3y3z9+640y2z10+1\
   640/9yz11+460/9z12+137475/4y10z3+4299075/8y8z5+1049130y7z6+282735/2y6z7-2\
   191185y5z8-30181725/8y4z9-12839355/4y3z10-12009195/8y2z11-3725865/8yz12-3\
   45915/4z13+136469635/216y7z7+404149783795/182736y6z8+147447073195/60912y5\
   z9+31808151425/60912y4z10-7804613995/3888y3z11-49285406905/20304y2z12-707\
   01736015/60912yz13-19280184295/91368z14-45738581885/119286y6z9+2005208667\
   25/159048y4z11+607622992216775/11153241y3z12+2386776226181815/29741976y2z\
   13+97886617671010/1239249yz14+2333597351728825/89225928z15-22233918786099\
   82425/2471888672y3z13-46803411748827695925/34606441408y2z14-4680341174882\
   7695925/34606441408yz15-15675925448287941975/34606441408z16+9723126342598\
   5774145/15087929472y2z15+97231293098913735745/15087929472yz16+97231246074\
   866881345/15087929472z17-8763075/2yz17+1764225/16z18-96373577075/7614yz18\
   -2023431835775/182736z19+17404765279775075/44612964yz19+135884742919025/2\
   9741976z20-2984753291459929115625/17303220704yz20-5740829192649594151125/\
   69212882816z21+16891425512760557317733275/7766983193508yz21+3186606302672\
   240245483256975/2982521546307072z22+2613640829282507187241228375/13526174\
   813184yz22+702584003191650911266872000875/883710087794688z23-305550300702\
   59092298956649239970375/644224654002327552z24
==> j[141]=xy4z2+y5z2+y4z3+xyz5+y2z5+yz6-50y10-220y9z-720y8z2-1380y7z3-1470y6\
   z4-630y5z5+420y4z6+780y3z7-405xyz8+90y2z8-250yz9+55z10-9475/18y10z2-35615\
   /18y9z3-7765/2y8z4-11515/3y7z5-385/3y6z6+4865y5z7+20585/3y4z8+30205/6y3z9\
   +4105/2y2z10+9865/18yz11+970/9z12+841275/8y10z3+11022075/16y8z5+2284245y7\
   z6+12590055/4y6z7+3706695/2y5z8-5213925/16y4z9-10229715/8y3z10-11742435/1\
   6y2z11-4083345/16yz12-483795/8z13+3221955035/432y7z7+9540448435115/365472\
   y6z8+3482057820995/121824y5z9+754702446025/121824y4z10-183876096995/7776y\
   3z11-1161902722625/40608y2z12-1666944112775/121824yz13-454611458495/18273\
   6z14-124282787435/477144y6z9+739024544875/874764y4z11+6867618145472450/11\
   153241y3z12+54884202969283745/59483952y2z13+1661634827279765/1802544yz14+\
   54817401101130725/178451856z15-47304297103281151275/4943777344y3z13-99159\
   8478668958395475/69212882816y2z14-991598478668958395475/69212882816yz15-3\
   29338319223022277625/69212882816z16+3771274126334450391515/165967224192y2\
   z15+3771274434065345247515/165967224192yz16+3771273589015562069915/165967\
   224192z17-23006475/4yz17-55711575/32z18-2272827028975/15228yz18-477252113\
   03575/365472z19+803845315225396325/178451856yz19-172615641033050/3717747z\
   20-69741387426522272502375/34606441408yz20-134419242103963735642875/13842\
   5765632z21+94059878420829155387538074825/5467956168229632yz21+73132107182\
   695124138089059175/8201934252344448z22-105252038098981778677218479875/270\
   52349626368yz22+175858686084750512522800802125/2430202741435392z23-177613\
   496876320718116620695895696875/745944336213221376z24
==> j[142]=xy5z+y6z+y5z2-xyz5-y2z5-yz6+75y10+255y9z+810y8z2+1440y7z3+1260y6z4\
   -1260y4z6-1440y3z7+540xyz8-270y2z8+285yz9-75z10+2365/4y10z2+9385/4y9z3+18\
   615/4y8z4+10215/2y7z5+3675/2y6z6-6015/2y5z7-5310y4z8-16385/4y3z9-6565/4y2\
   z10-1575/4yz11-175/2z12-489375/4y10z3-7660575/8y8z5-2808810y7z6-6436395/2\
   y6z7-757755y5z8+17697825/8y4z9+11534535/4y3z10+11875815/8y2z11+3904605/8y\
   z12+414855/4z13-62232405/8y7z7-184274607085/6768y6z8-67278492205/2256y5z9\
   -14632785575/2256y4z10+3546760885/144y3z11+22423028815/752y2z12+321729180\
   25/2256yz13+8774314105/3384z14+4178734545/8836y6z9-296439626475/194392y4z\
   11-265646129182350/413083y3z12-3181941699916995/3304664y2z13-397112778283\
   365/413083yz14-1058339974474425/3304664z15+24747697637935656975/247188867\
   2y3z13+518798480042056116825/34606441408y2z14+518798480042056116825/34606\
   441408yz15+172330713110956919175/34606441408z16-999933682115336447375/368\
   81605376y2z15-999933733058053872975/36881605376yz16-999933566168789546575\
   /36881605376z17+15884775/2yz17+26973675/16z18+21935974750/141yz18+9213289\
   88225/6768z19-15532249821596025/3304664yz19+72106910279025/1652332z20+181\
   77661542395215607625/8651610352yz20+70062861745703586013875/69212882816z2\
   1-11009014126095986965795069375/607550685358848yz21-227861224565460309271\
   97291125/2430202741435392z22+2967075345646310176238778375/751454156288yz2\
   2-3225761466861633204571190657625/6480540643827712z23+7205681962351187009\
   5854329883292375/262461896075022336z24
==> j[143]=x2y5+2xy6+y7-y5z2+2xyz5+2y2z5+2yz6-150y10-510y9z-1620y8z2-2880y7z3\
   -2520y6z4+2520y4z6+2880y3z7-1080xyz8+540y2z8-570yz9+150z10-3115/3y10z2-12\
   245/3y9z3-7635y8z4-7910y7z5-2450y6z6+4890y5z7+7960y4z8+5855y3z9+2165y2z10\
   +1285/3yz11+320/3z12+489375/2y10z3+7660575/4y8z5+5617620y7z6+6436395y6z7+\
   1515510y5z8-17697825/4y4z9-11534535/2y3z10-11875815/4y2z11-3904605/4yz12-\
   414855/2z13+560392165/36y7z7+1659353953285/30456y6z8+606007559485/10152y5\
   z9+132214585175/10152y4z10-31898741005/648y3z11-201758312575/3384y2z12-28\
   9512553945/10152yz13-78957630385/15228z14-38835269005/39762y6z9+455305413\
   325/145794y4z11+4782127765547200/3717747y3z12+9546317921362435/4956996y2z\
   13+288813258706345/150212yz14+9525007244173975/14870988z15-24736385490900\
   216975/1235944336y3z13-74070840551071083525/2471888672y2z14-7407084055107\
   1083525/2471888672yz15-24598069569270649575/2471888672z16+223734656037135\
   329315/3951600576y2z15+223734658506885689315/3951600576yz16+2237346345997\
   02204515/3951600576z17-15884775yz17-26973675/8z18-394830950375/1269yz18-8\
   292401068025/30456z19+139801227165196975/14870988yz19-107149749173350/123\
   9249z20-5192824728236461405875/1235944336yz20-10007069484819215984625/494\
   3777344z21+585914622903175313010872275/16273679072112yz21+145736335691660\
   82540991174825/781136595461376z22-18298138219439992742845470875/225436246\
   8864yz22+254388028867857682529513861125/231447880136704z23-97049844546922\
   212950647820128395625/168725504619657216z24
==> j[144]=x2z4+2xyz4+y2z4+2xz5+2yz5+z6-40/3y10z-200/3y9z2-210y8z3-440y7z4-56\
   0y6z5-420y5z6-140y4z7+40y3z8+60y2z9+70/3yz10+50/3z11-970/27y10z3+275y8z5-\
   880/27y7z6-44660/27y6z7-33440/9y5z8-116875/27y4z9-83330/27y3z10-12355/9y2\
   z11-3745/9yz12-1970/27z13+622575y7z7+204659975/94y6z8+354074625/94y5z9+41\
   11313025/1034y4z10+59810975/22y3z11+1231645125/1034y2z12+371410425/1034yz\
   13+32045225/517z14+804396076007015/283423536y6z9-15602797815376975/207843\
   9264y4z11-204559448538787975/13250050308y3z12-260647970458585315/17666733\
   744y2z13-85349459351920685/11777822496yz14-57064091716957925/26500100616z\
   15+1547893757622142875/4943777344y3z13-135502793998762454645/761341710976\
   y2z14-135502451394992515445/761341710976yz15-373878204270059164595/761341\
   710976z16-334770039100568948609925/811395318272y2z15-33477003910056894860\
   9925/811395318272yz16-334770039100568948609925/811395318272z17-45650/27yz\
   17+70375/54z18+65218875/47yz18-73451875/94z19-822175819836802675/96364002\
   24yz19-360821137006901675/3212133408z20-4789919164930538342075/3426037699\
   392yz20-261952260550893774123925/13704150797568z21-6078071017523187694774\
   65375/234493246980608yz21-6694065532810436925807573375/937972987922432z22\
   +114290059567041637697051406875/730413439911936yz22-120884156161146690017\
   9313939139894625/34644970281902948352z23+14428800289927937556114127220075\
   61625/320786761869471744z24
==> j[145]=x2yz3+2xy2z3+y3z3+2xyz4+2y2z4+yz5+20/3y10z+70/3y9z2+60y8z3+40y7z4-\
   140y6z5-420y5z6-560y4z7-440y3z8-210y2z9-170/3yz10-40/3z11+1640/27y10z3-55\
   0y8z5-880/27y7z6+80080/27y6z7+61600/9y5z8+217250/27y4z9+155620/27y3z10+23\
   150/9y2z11+7130/9yz12+3700/27z13-616860y7z7-101537270/47y6z8-176449860/47\
   y5z9-2060746950/517y4z10-30253460/11y3z11-631897590/517y2z12-193182480/51\
   7yz13-34023460/517z14-390581156629105/283423536y6z9+7957951023326825/2078\
   439264y4z11+119009654874548225/13250050308y3z12+158491780449444005/176667\
   33744y2z13+60566131167443995/11777822496yz14+36237699069890875/2650010061\
   6z15-836750902787587725/4943777344y3z13-91984607852349272765/761341710976\
   y2z14-91984950456119211965/761341710976yz15+36874916975682590485/76134171\
   0976z16+68771109701305346798115/811395318272y2z15+68771109701305346798115\
   /811395318272yz16+68771109701305346798115/811395318272z17+87550/27yz17-66\
   625/27z18-71294475/47yz18+30843475/47z19+457852986500046725/9636400224yz1\
   9+144051438426095725/3212133408z20-13333482334520062104275/3426037699392y\
   z20+580959394913905815587225/260378865153792z21+1665561261868153075001864\
   25/234493246980608yz21+1817794953847119935326608825/937972987922432z22-61\
   781302578779726094039662125/730413439911936yz22+2346631141984570356154105\
   45355446375/34644970281902948352z23-296389892082073496998676969809364375/\
   320786761869471744z24
==> j[146]=xy3z2+y4z2+3/2xy2z3+5/2y3z3+1/2xyz4+2y2z4+1/2yz5+135/2xy8+105/2y9-\
   270y7z2-630y6z3-945y5z4-945y4z5-630y3z6+135xyz7-135y2z7+135/2xz8+135yz8+6\
   0z9-40/3y10z-110/3y9z2-285/2y8z3-320y7z4-455y6z5-420y5z6-245y4z7-80y3z8-1\
   5/2y2z9+10/3yz10-5/6z11+72900y9z3+328050y8z4+1482300y7z5+3657150y6z6+5503\
   950y5z7+5382450y4z8+3474900y3z9+1439775y2z10+407025yz11+66825z12-250/27y1\
   0z3+275/3y8z5-880/27y7z6-16940/27y6z7-12320/9y5z8-42625/27y4z9-30230/27y3\
   z10-4465/9y2z11-1375/9yz12-710/27z13-8869950y7z7-4339409375/141y6z8-24669\
   75200/47y5z9-28183325750/517y4z10-1202702000/33y3z11-8022493800/517y2z12-\
   2390131100/517yz13-1217165875/1551z14+15262246589151325/566847072y6z9-290\
   889065829543125/4156878528y4z11-3265891297020894125/26500100616y3z12-2910\
   726002122409825/35333467488y2z13-292112628380862175/23555644992yz14+73867\
   3534772524625/53000201232z15-40405500316963449975/9887554688y3z13-7374928\
   14593884236065/217526203136y2z14-737492765650488530465/217526203136yz15+1\
   51428230446397212185/217526203136z16+404585865449881395260175/23182723379\
   2y2z15+404586140078218226108175/231827233792yz16+404585590821544564412175\
   /231827233792z17-16400/27yz17+25825/54z18-1362147875/94yz18+4167859625/28\
   2z19-10307586092286934625/19272800448yz19-2542176954710379625/6424266816z\
   20-350710109981330125635775/978867914112yz20-6761375244076533980868275/74\
   393961472512z21+182682706626437703146166858375/1272963340751872yz21+47657\
   4285477196273600205170375/5091853363007488z22+176705782072543357174463400\
   981625/1460826879823872yz22+2090200156634672248126068543685731875/9898562\
   937686556672z23-5230960393693986371599262407509219625/274960081602404352z\
   24
==> j[147]=x2y2z2-y4z2-xy2z3-3y3z3-xyz4-3y2z4-yz5-135xy8-105y9+540y7z2+1260y6\
   z3+1890y5z4+1890y4z5+1260y3z6-270xyz7+270y2z7-135xz8-270yz8-120z9+40/3y10\
   z+50/3y9z2+75y8z3+200y7z4+350y6z5+420y5z6+350y4z7+200y3z8+75y2z9+50/3yz10\
   +25/3z11-145800y9z3-656100y8z4-2964600y7z5-7314300y6z6-11007900y5z7-10764\
   900y4z8-6949800y3z9-2879550y2z10-814050yz11-133650z12-290/27y10z3+275/3y8\
   z5+880/27y7z6-10780/27y6z7-8800/9y5z8-31625/27y4z9-22870/27y3z10-3425/9y2\
   z11-1055/9yz12-550/27z13+18362475y7z7+17971617425/282y6z8+10221975425/94y\
   5z9+116844616025/1034y4z10+4990240925/66y3z11+33321620325/1034y2z12+99319\
   34825/1034yz13+2530467425/1551z14-7228924937190235/141711768y6z9+13764312\
   6145374275/1039219632y4z11+1530665828395767275/6625025154y3z12+1325038902\
   868983935/8833366872y2z13+103381553755535065/5888911248yz14-3978688208607\
   71675/13250050308z15+20976698235384460425/2471888672y3z13+359067654365364\
   209535/54381550784y2z14+359067654365364209535/54381550784yz15-10241970953\
   2171459015/54381550784z16-226205088423035811404625/57956808448y2z15-22620\
   5225737204226828625/57956808448yz16-226204951108867395980625/57956808448z\
   17-13300/27yz17+19625/54z18+1427366750/47yz18-8556074875/282z19+474270489\
   9011403575/4818200112yz19+1090677832892444575/1606066704z20+1750129180885\
   89866221225/244716978528yz20+3025180763812920833265725/18598490368128z21-\
   92166236315032025610636095625/318240835187968yz21-24737195587257763122953\
   1865625/1272963340751872z22-88295747410889173873478010307375/365206719955\
   968yz22-1131445939795162936725289916890416125/2474640734421639168z23+2924\
   668919731023673319941364314212875/68740020400601088z24
==> j[148]=xy4z+y5z+y4z2-5/2xy2z3-5/2y3z3-3/2xyz4-4y2z4-3/2yz5-135/2xy8-75/2y\
   9+270y7z2+630y6z3+945y5z4+945y4z5+630y3z6-135xyz7+135y2z7-135/2xz8-135yz8\
   -75z9+335/6y10z+745/6y9z2+330y8z3+545y7z4+560y6z5+315y5z6+20y4z7-215/2y3z\
   8-80y2z9-275/6yz10+5/6z11-72900y9z3-328050y8z4-1482300y7z5-3657150y6z6-55\
   03950y5z7-5382450y4z8-3474900y3z9-1439775y2z10-407025yz11-66825z12-7415/1\
   08y10z3+11825/24y8z5+34540/27y7z6+92785/54y6z7+12320/9y5z8+130625/216y4z9\
   +6935/108y3z10-6355/72y2z11-3025/72yz12-985/108z13+67915005/8y7z7+6641580\
   6335/2256y6z8+37734996335/752y5z9+430823869175/8272y4z10+18372277355/528y\
   3z11+122452925715/8272y2z12+36489901055/8272yz13+9271375415/12408z14-2824\
   9026130984625/1133694144y6z9+539744151453837625/8313757056y4z11+604854025\
   8580293025/53000201232y3z12+5234029068795480925/70666934976y2z13+43080252\
   0958574075/47111289984yz14-1604752970720302225/106000402464z15+8479470305\
   5556652075/19775109376y3z13+9090356255765901919435/3045366843904y2z14+909\
   0355151820421004235/3045366843904yz15-3968028128991079146515/304536684390\
   4z16-7127217755435295439683885/3245581273088y2z15-71272216002320110715558\
   85/3245581273088yz16-7127213910638579807811885/3245581273088z17-39875/54y\
   z17+19075/432z18+2580029275/188yz18-32172174175/2256z19+18543205116623621\
   125/38545600896yz19+3892516801482312125/12848533632z20+482116417509208855\
   6344725/13704150797568yz20+70879674286195701926458225/1041515460615168z21\
   -2603769050047882049511744437925/17821486770526208yz21-718182009318528528\
   6725029222325/71285947082104832z22-353116752658748894208193672833125/2921\
   653759647744yz22-34620701793671529463257256951523943625/13857988112761179\
   3408z23+92151273964207246078029594408981569375/3849441142433660928z24
==> j[149]=x2y3z-y5z-2y4z2+2xy2z3+y3z3+2xyz4+4y2z4+2yz5-30y9+30z9-205/3y10z-4\
   55/3y9z2-315y8z3-410y7z4-350y6z5-210y5z6-110y4z7-65y3z8-35y2z9+55/3yz10-4\
   0/3z11+9715/54y10z3-5775/4y8z5-52360/27y7z6+35035/27y6z7+61600/9y5z8+1029\
   875/108y4z9+398405/54y3z10+124775/36y2z11+39245/36yz12+10325/54z13+565815\
   /4y7z7+188885535/376y6z8+320921805/376y5z9+3613595925/4136y4z10+49080555/\
   88y3z11+896742345/4136y2z12+228233565/4136yz13+21177615/2068z14-305666449\
   2587435/566847072y6z9+57950747039870275/4156878528y4z11+71508921164154047\
   5/26500100616y3z12+892052969169363535/35333467488y2z13+266314412886977465\
   /23555644992yz14+193699160527889525/53000201232z15-5621725759440331575/98\
   87554688y3z13+1058764432448528781545/1522683421952y2z14+10587641659789299\
   39945/1522683421952yz15+1924509552261885514495/1522683421952z16+160055710\
   3319518041837345/1622790636544y2z15+1600557103319518041837345/16227906365\
   44yz16+1600557103319518041837345/1622790636544z17+143125/27yz17-705575/21\
   6z18+7007325/94yz18-124832175/376z19+2954762704343741575/19272800448yz19+\
   1480079823067950575/6424266816z20+67349246099357316087575/6852075398784yz\
   20+25133523329688277531420075/520757730307584z21+276242832583215984896985\
   4275/468986493961216yz21+30460353345126267942916631475/1875945975844864z2\
   2-415727133104093278527319130375/1460826879823872yz22+5827287664498076362\
   507571219335134125/69289940563805896704z23-766523862315399158842124283994\
   978625/71285947082104832z24
==> j[150]=x2y4+2xy5+y6-y4z2+5xy2z3+5y3z3+3xyz4+8y2z4+3yz5+135xy8+75y9-540y7z\
   2-1260y6z3-1890y5z4-1890y4z5-1260y3z6+270xyz7-270y2z7+135xz8+270yz8+150z9\
   -180y10z-480y9z2-1245y8z3-1980y7z4-1890y6z5-840y5z6+270y4z7+630y3z8+385y2\
   z9+170yz10+15z11+145800y9z3+656100y8z4+2964600y7z5+7314300y6z6+11007900y5\
   z7+10764900y4z8+6949800y3z9+2879550y2z10+814050yz11+133650z12+2645/9y10z3\
   -12925/6y8z5-51040/9y7z6-70070/9y6z7-19360/3y5z8-56375/18y4z9-5465/9y3z10\
   +495/2y2z11+895/6yz12+295/9z13-31451925/2y7z7-30731921575/564y6z8-1744354\
   5775/188y5z9-198949910575/2068y4z10-8474089675/132y3z11-56405786475/2068y\
   2z12-16813588975/2068yz13-4260508975/3102z14+2333011233040465/47237256y6z\
   9-44713320147338225/346406544y4z11-503836443957872225/2208341718y3z12-436\
   850618452366265/2944455624y2z13-37858264799994235/1962970416yz14+13426040\
   9947911575/4416683436z15-21262930809107209125/2471888672y3z13-20932125309\
   83993114285/380670855488y2z14-2093211998044795431085/380670855488yz15+118\
   1278870719145414165/380670855488z16+1913673142727368903286775/40569765913\
   6y2z15+1913674103926547811254775/405697659136yz16+19136721815281899953187\
   75/405697659136z17+28000/9yz17-2725/36z18-1172786000/47yz18+15092864375/5\
   64z19-1533811558030297925/1606066704yz19-303281684848221925/535355568z20-\
   397657221580578852065825/571006283232yz20-5156907945035055429009325/43396\
   477525632z21+654656068350189256022553636375/2227685846315776yz21+18362067\
   04848078782812716137375/8910743385263104z22+29424766094977536283310388897\
   625/121735573318656yz22+3048882893746933007429737359173407625/57741617136\
   50491392z23-24743068026622570435918709300895372875/481180142804207616z24
==> j[151]=x2z3+2xyz3+y2z3+2xz4+2yz4+z5-40/3y10-200/3y9z-210y8z2-440y7z3-560y\
   6z4-420y5z5-140y4z6+40y3z7-90xyz8-30y2z8-200/3yz9+50/3z10-3400/27y10z2-11\
   000/27y9z3-2200/3y8z4-4400/9y7z5+6160/9y6z6+6160/3y5z7+22000/9y4z8+15400/\
   9y3z9+2120/3y2z10+5320/27yz11+1040/27z12+29325y10z3+280125/2y8z5+586560y7\
   z6+1025610y6z7+982980y5z8+1040325/2y4z9+108735y3z10+11115/2y2z11-14895/2y\
   z12-5745z13+385575455/162y7z7+1141715096975/137052y6z8+416643978215/45684\
   y5z9+90173223925/45684y4z10-22016943335/2916y3z11-139094896205/15228y2z12\
   -199546212635/45684yz13-54420445715/68526z14-3820549205/178929y6z9+449196\
   93875/656073y4z11+6563624218574800/33459723y3z12+6562127258358785/2230648\
   2y2z13+2186866662922345/7435494yz14+6560582299163225/66919446z15-17083586\
   7641983275/56179288y3z13-39384525701056475025/8651610352y2z14-39384525701\
   056475025/8651610352yz15-13075802084191050675/8651610352z16+4010280179343\
   44591165/62237709072y2z15+401028062192271042365/62237709072yz16+401027972\
   293357938365/62237709072z17-1186950yz17-2394825/4z18-544124966750/11421yz\
   18-5712559667275/137052z19+8738850163016725/6083586yz19-16472642751575/10\
   13931z20-2781822952867571330625/4325805176yz20-5362148196734027354625/173\
   03220704z21+11077116167014107916983025325/2050483563086112yz21+1728722176\
   3845737483664157475/6151450689258336z22-1200911446248001266815509625/9222\
   39191808yz22-184703865630494748541474634125/1822652056076544z23-376527356\
   559012549437942992113834125/5314853395519202304z24
==> j[152]=x2yz2+2xy2z2+y3z2+2xyz3+2y2z3+yz4+20/3y10+70/3y9z+60y8z2+40y7z3-14\
   0y6z4-420y5z5-560y4z6-440y3z7+90xyz8-120y2z8+100/3yz9-40/3z10+4070/27y10z\
   2+17350/27y9z3+4550/3y8z4+19900/9y7z5+17500/9y6z6+2380/3y5z7-2300/9y4z8-4\
   850/9y3z9-850/3y2z10-2150/27yz11-580/27z12-45825/4y10z3-1433025/8y8z5-349\
   710y7z6-94245/2y6z7+730395y5z8+10060575/8y4z9+4279785/4y3z10+4003065/8y2z\
   11+1241955/8yz12+115305/4z13-136258435/648y7z7-403533206515/548208y6z8-14\
   7098508715/182736y5z9-31448045825/182736y4z10+7819897195/11664y3z11+49319\
   248825/60912y2z12+70732162255/182736yz13+19287875815/274104z14+4549783338\
   5/357858y6z9-2197788227975/5248584y4z11-607534990468475/33459723y3z12-238\
   6686764271415/89225928y2z13-97888515183160/3717747yz14-2333852900106025/2\
   67677784z15+742150475229701475/2471888672y3z13+15617519118501164775/34606\
   441408y2z14+15617519118501164775/34606441408yz15+43201755911449125/286003\
   648z16-1115694128256253963295/497901672576y2z15-1115694529343712427295/49\
   7901672576yz16-1115693962289029771295/497901672576z17+2921025/2yz17-58807\
   5/16z18+96384519875/22842yz18+2023119134975/548208z19-17403331913676575/1\
   33838892yz19-136352211268025/89225928z20+90480643791146312625/1573020064y\
   z20+1913973192928608408375/69212882816z21-1507773124638715249745551075/20\
   50483563086112yz21-35721616659904597959235261225/98423211028133376z22-296\
   5984149237336210541963375/40578524439552yz22-8076182010015472561364806202\
   125/29162432897224704z23+357586739360521703748821414156558125/21259413582\
   076809216z24
==> j[153]=x2y2z+2xy3z+y4z+2xy2z2+2y3z2+y2z3-40/3y10-170/3y9z-210y8z2-440y7z3\
   -560y6z4-420y5z5-140y4z6+40y3z7-90xyz8-30y2z8-200/3yz9+20/3z10-3220/27y10\
   z2-11000/27y9z3-2200/3y8z4-4400/9y7z5+6160/9y6z6+6160/3y5z7+22000/9y4z8+1\
   5400/9y3z9+2120/3y2z10+5140/27yz11+1040/27z12+29325y10z3+280125/2y8z5+586\
   560y7z6+1025610y6z7+982980y5z8+1040325/2y4z9+108735y3z10+11115/2y2z11-148\
   95/2yz12-5745z13+385567535/162y7z7+1141691954735/137052y6z8+416630886455/\
   45684y5z9+90159691525/45684y4z10-22017517895/2916y3z11-139096168445/15228\
   y2z12-199547355275/45684yz13-54420735155/68526z14-7799308285/357858y6z9+1\
   83193563275/2624292y4z11+596701280401850/3041793y3z12+298280587035530/101\
   3931y2z13+4373743846329215/14870988yz14+596415374726125/6083586z15-939578\
   924022409575/308986084y3z13-9846305093149005825/2162902588y2z14-984630509\
   3149005825/2162902588yz15-817313156248034700/540725647z16+157725016793972\
   5541105/248950836288y2z15+1577250340822250741105/248950836288yz16+1577249\
   989524959534705/248950836288z17-1186950yz17-2394825/4z18-544125795650/114\
   21yz18-5712547960075/137052z19+192255957575674075/133838892yz19-724774243\
   443175/44612964z20-347725574620365778875/540725647yz20-167568542442509632\
   125/540725647z21+22143280841191327674583399825/4100967126172224yz21+13817\
   4556264191469532656288525/49211605514066688z22-66147707956962327331264876\
   25/5072315554944yz22-1630042355631260018226362027375/14581216448612352z23\
   -19488171457230656224465841464404125/279729126079958016z24
==> j[154]=x2y3+2xy4+y5+2xy3z+2y4z+y3z2+50/3y10+70/3y9z+60y8z2+40y7z3-140y6z4\
   -420y5z5-560y4z6-440y3z7+90xyz8-120y2z8+70/3yz9-40/3z10+3080/27y10z2+1420\
   0/27y9z3+3800/3y8z4+17200/9y7z5+16240/9y6z6+2800/3y5z7+400/9y4z8-2600/9y3\
   z9-520/3y2z10-1160/27yz11-400/27z12-45825/4y10z3-1433025/8y8z5-349710y7z6\
   -94245/2y6z7+730395y5z8+10060575/8y4z9+4279785/4y3z10+4003065/8y2z11+1241\
   955/8yz12+115305/4z13-136543555/648y7z7-404363856115/548208y6z8-147567341\
   035/182736y5z9-31931799425/182736y4z10+7799385835/11664y3z11+49273828345/\
   60912y2z12+70691225935/182736yz13+19277576935/274104z14+93621763045/71571\
   6y6z9-1124181957925/2624292y4z11-608133012764450/33459723y3z12-2387870417\
   969365/89225928y2z13-783216077133305/29741976yz14-2333601842838925/267677\
   784z15+740160692392063725/2471888672y3z13+2226087240906967875/4943777344y\
   2z14+2226087240906967875/4943777344yz15+745765856122840425/4943777344z16-\
   75189995186170960765/35564405184y2z15-75190017315134186365/35564405184yz1\
   6-75189988073289923965/35564405184z17+2921025/2yz17-588075/16z18+96370091\
   075/22842yz18+2023542883775/548208z19-34828416922628275/267677784yz19-711\
   82164476575/44612964z20+142035481156802119875/2471888672yz20+248372839402\
   64045625/898868608z21-833076186818059651888154575/1171704893192064yz21-15\
   3481001789504610481352075/439389334947024z22-2110368281564678373555572125\
   /40578524439552yz22-33244263077213633196406501625/130189432576896z23+4689\
   2356386637393626600336845176375/3037059083153829888z24
==> j[155]=x2z2+2xyz2+y2z2+2xz3+2yz3+z4-2/3xy2z3-2/3y3z3-2/3xyz4-4/3y2z4-2/3y\
   z5-20/3y10z-80/3y9z2-90y8z3-160y7z4-140y6z5+140y4z7+160y3z8+90y2z9+80/3yz\
   10+10z11-830/27y10z3+275y8z5+880/27y7z6-38500/27y6z7-29920/9y5z8-105875/2\
   7y4z9-75970/27y3z10-11315/9y2z11-3485/9yz12-1810/27z13+413325y7z7+1359707\
   25/94y6z8+235722975/94y5z9+2744424075/1034y4z10+40093425/22y3z11+83109997\
   5/1034y2z12+252250575/1034yz13+21991875/517z14+49791120211145/35427942y6z\
   9-981707768208925/259804908y4z11-26915262096774350/3312512577y3z12-174152\
   27294983795/2208341718y2z13-6047140843471955/1472227812yz14-3863048585443\
   400/3312512577z15+99220216387124175/617972168y3z13-1845524026948536245/95\
   167713872y2z14-1845495476634374645/95167713872yz15-17125423075408578395/9\
   5167713872z16-16814191835989165659975/101424414784y2z15-16814191835989165\
   659975/101424414784yz16-16814191835989165659975/101424414784z17-43000/27y\
   z17+65075/54z18+45335250/47yz18-45342375/94z19-53204132191387525/12045500\
   28yz19-21036974719117025/401516676z20+335196368084571524425/428254712424y\
   z20-232347108822197506862575/32547358144224z21-32253993343737504882347625\
   /29311655872576yz21-354637525372144350327946125/117246623490304z22+732545\
   6958222560929731798875/91301679988992yz22-6014622677565739087337412588900\
   9875/4330621285237868544z23+12078241497674805171302189500227875/668305753\
   8947328z24
==> j[156]=x2yz+2xy2z+y3z+2xyz2+2y2z2+yz3+1/3xy2z3+1/3y3z3+1/3xyz4+2/3y2z4+1/\
   3yz5+45xy8+35y9-180y7z2-420y6z3-630y5z4-630y4z5-420y3z6+90xyz7-90y2z7+45x\
   z8+90yz8+40z9+10/9y10z+20/9y9z2-5y8z3-160/3y7z4-490/3y6z5-280y5z6-910/3y4\
   z7-640/3y3z8-95y2z9-220/9yz10-65/9z11+48600y9z3+218700y8z4+988200y7z5+243\
   8100y6z6+3669300y5z7+3588300y4z8+2316600y3z9+959850y2z10+271350yz11+44550\
   z12+1870/81y10z3-1925/9y8z5+880/81y7z6+100100/81y6z7+75680/27y5z8+265375/\
   81y4z9+189530/81y3z10+28135/27y2z11+8665/27yz12+4490/81z13-6326265y7z7-18\
   580308065/846y6z8-10574680565/282y5z9-120965644625/3102y4z10-5171874545/1\
   98y3z11-11529185295/1034y2z12-10319323445/3102yz13-2632816985/4653z14+140\
   67277731418885/850270608y6z9-267328523142314525/6235317792y4z11-294173585\
   1974370725/39750150924y3z12-2490411503534248985/53000201232y2z13-14541270\
   4549717015/35333467488yz14+832563980759702225/79500301848z15-142645030789\
   52862325/4943777344y3z13-5119706412424471629935/2284025132928y2z14-511970\
   6755028241569135/2284025132928yz15+490164644639193222205/761341710976z16+\
   1078547677678234556755035/811395318272y2z15+1078548318477687162067035/811\
   395318272yz16+1078547036878781951443035/811395318272z17+105500/81yz17-162\
   175/162z18-1499168825/141yz18+8738470825/846z19-9024426703351886825/28909\
   200672yz19-2037318893266015825/9636400224z20-2464013188446215782366225/10\
   278113098176yz20-41789846500130973998889725/781136595461376z21+4311656607\
   55395824844433078675/4455371692631552yz21+3497756262768292493018323747225\
   /53464460311578624z22+176529455932853120329574124096625/2191240319735808y\
   z22+16074902003602993181695479936506184125/103934910845708845056z23-41834\
   546022107683399753037302991167375/2887080856825245696z24
==> j[157]=x2y2+2xy3+y4+2xy2z+2y3z+y2z2-2/3xy2z3-2/3y3z3-2/3xyz4-4/3y2z4-2/3y\
   z5+10y9-10z9-80/3y9z2-90y8z3-160y7z4-140y6z5+140y4z7+160y3z8+90y2z9+20yz1\
   0+10z11-665/27y10z3+1375/6y8z5-1760/27y7z6-40810/27y6z7-29920/9y5z8-20762\
   5/54y4z9-73735/27y3z10-21805/18y2z11-6695/18yz12-1735/27z13+736795/2y7z7+\
   726842665/564y6z8+419688265/188y5z9+4881546825/2068y4z10+213665245/132y3z\
   11+1473666285/2068y2z12+446844345/2068yz13+116587885/3102z14+467289960822\
   385/283423536y6z9-9127602561460025/2078439264y4z11-120995451431889425/132\
   50050308y3z12-154502068214333885/17666733744y2z13-51278297627949115/11777\
   822496yz14-33453810794614975/26500100616z15+906953634241417525/4943777344\
   y3z13-53912042597130809835/761341710976y2z14-161735480650938099905/228402\
   5132928yz15-580748326140071838055/2284025132928z16-1788471347732991366897\
   15/811395318272y2z15-178847134773299136689715/811395318272yz16-1788471347\
   73299136689715/811395318272z17-40150/27yz17+125725/108z18+39832975/47yz18\
   -248449325/564z19-481438957885768325/9636400224yz19-204441736415955325/32\
   12133408z20-1119979083259190232725/3426037699392yz20-26201042343147240768\
   46225/260378865153792z21-331129424884733448349858425/234493246980608yz21-\
   3648918601091100687569986825/937972987922432z22+6697590805725544159757041\
   7125/730413439911936yz22-643543449144748754616730497333700375/34644970281\
   902948352z23+2312528707662090601738417382851770625/962360285608415232z24
==> j[158]=x2z+2xyz+y2z+2xz2+2yz2+z3-2/3xy2z2-2/3y3z2-2/3xyz3-4/3y2z3-2/3yz4-\
   20/3y10-80/3y9z-90y8z2-160y7z3-140y6z4+140y4z6+160y3z7-60xyz8+30y2z8-100/\
   3yz9+10z10-2450/27y10z2-9250/27y9z3-2150/3y8z4-7300/9y7z5-2380/9y6z6+1820\
   /3y5z7+9500/9y4z8+7550/9y3z9+1090/3y2z10+2690/27yz11+580/27z12+54375/4y10\
   z3+851175/8y8z5+312090y7z6+715155/2y6z7+84195y5z8-1966425/8y4z9-1281615/4\
   y3z10-1319535/8y2z11-433845/8yz12-46095/4z13+559449685/648y7z7+1656592613\
   605/548208y6z8+604442226925/182736y5z9+130593991175/182736y4z10-319676320\
   45/11664y3z11-201910849615/60912y2z12-289649124265/182736yz13-78992436625\
   /274104z14-17472459515/357858y6z9+842146700825/5248584y4z11+2390269317429\
   425/33459723y3z12+9544837831361185/89225928y2z13+397105055726965/3717747y\
   z14+9525468506032975/267677784z15-2752812051085923525/2471888672y3z13-824\
   4367425143148375/4943777344y2z14-8244367425143148375/4943777344yz15-27387\
   43322971301325/4943777344z16+211821064966441572815/71128810368y2z15+21182\
   1100926006814415/71128810368yz16+211821037700397598415/71128810368z17-176\
   4975/2yz17-2997075/16z18-394881744125/22842yz18-8291014780025/548208z19+6\
   9884274190681925/133838892yz19-438520928661025/89225928z20-57726703117712\
   8798875/2471888672yz20-1112473953175012074375/9887554688z21+5993695670872\
   60601425167775/292926223298016yz21+14885829279357080546349916825/14060458\
   718304768z22-16623359014950125055050528375/40578524439552yz22+27477279038\
   4510449804245496125/4166061842460672z23-915031956057938001524614109807421\
   25/3037059083153829888z24
==> j[159]=x2y+2xy2+y3+2xyz+2y2z+yz2-2/3xy3z-2/3y4z-2/3xy2z2-4/3y3z2-2/3y2z3+\
   10y10+80/3y9z+90y8z2+160y7z3+140y6z4-140y4z6-160y3z7+60xyz8-30y2z8+100/3y\
   z9-20/3z10+2410/27y10z2+9650/27y9z3+2350/3y8z4+8900/9y7z5+5180/9y6z6-700/\
   3y5z7-6700/9y4z8-5950/9y3z9-890/3y2z10-2170/27yz11-500/27z12-54375/4y10z3\
   -851175/8y8z5-312090y7z6-715155/2y6z7-84195y5z8+1966425/8y4z9+1281615/4y3\
   z10+1319535/8y2z11+433845/8yz12+46095/4z13-559569365/648y7z7-165694140336\
   5/548208y6z8-604639142765/182736y5z9-130797216775/182736y4z10+31959013805\
   /11664y3z11+201891765455/60912y2z12+289631931305/182736yz13+78988107665/2\
   74104z14+18058968265/357858y6z9-867303535525/5248584y4z11-239056339916312\
   5/33459723y3z12-9545414450904185/89225928y2z13-794222524233355/7435494yz1\
   4-9525284419337375/267677784z15+2753042527186728525/2471888672y3z13+57728\
   361763254800025/34606441408y2z14+57728361763254800025/34606441408yz15+191\
   85766382640600675/34606441408z16-1364048854658712353965/497901672576y2z15\
   -1364049100843428238765/497901672576yz16-1364048696989849371565/497901672\
   576z17+1764975/2yz17+2997075/16z18+394875663325/22842yz18+8291192536825/5\
   48208z19-69888585468885175/133838892yz19+436943255084525/89225928z20+4040\
   801094796307983125/17303220704yz20+7787846744821476359625/69212882816z21-\
   1047672181803023795345498225/512620890771528yz21-103846347836692127525249\
   141075/98423211028133376z22+16678095795938225381262763375/40578524439552y\
   z22-1287321999810395201311669625375/29162432897224704z23+5852694774994777\
   83471587033435652875/21259413582076809216z24
==> j[160]=x2+2xy+y2+2xz+2yz+z2-2/3xy2z-2/3y3z-2/3xyz2-4/3y2z2-2/3yz3-1/3xy2z\
   3-1/3y3z3-1/3xyz4-2/3y2z4-1/3yz5-15xy8-25/3y9+60y7z2+140y6z3+210y5z4+210y\
   4z5+140y3z6-30xyz7+30y2z7-15xz8-30yz8-40/3z9-10/9y10z-20/9y9z2+5y8z3+160/\
   3y7z4+490/3y6z5+280y5z6+910/3y4z7+640/3y3z8+95y2z9+220/9yz10+65/9z11-1620\
   0y9z3-72900y8z4-329400y7z5-812700y6z6-1223100y5z7-1196100y4z8-772200y3z9-\
   319950y2z10-90450yz11-14850z12-1870/81y10z3+1925/9y8z5-880/81y7z6-100100/\
   81y6z7-75680/27y5z8-265375/81y4z9-189530/81y3z10-28135/27y2z11-8665/27yz1\
   2-4490/81z13+2245305y7z7+6598212305/846y6z8+3759783605/282y5z9+4307153082\
   5/3102y4z10+1845502865/198y3z11+4126709415/1034y2z12+3701280965/3102yz13+\
   947136845/4653z14-4520669493739885/850270608y6z9+85503196850075525/623531\
   7792y4z11+919902607150906925/39750150924y3z12+746481393750364385/53000201\
   232y2z13+13136147016481615/35333467488yz14-297400526011588025/79500301848\
   z15+4888765901631375325/4943777344y3z13+1818903882360545256935/2284025132\
   928y2z14+1818904224964315196135/2284025132928yz15-146568629352993015205/7\
   61341710976z16-355094819337109366083795/811395318272y2z15-355095032936926\
   901187795/811395318272yz16-355094605737291830979795/811395318272z17-10550\
   0/81yz17+162175/162z18+548903525/141yz18-3026775025/846z19+27820127662598\
   75825/28909200672yz19+631251774268012825/9636400224z20+834549760512521153\
   551225/10278113098176yz20+14530392406701081768114725/781136595461376z21-1\
   43805121095377365823474118475/4455371692631552yz21-1168361866569917419774\
   687429825/53464460311578624z22-58813484594869708628716919721625/219124031\
   9735808yz22-5298255598048491212044632289975509125/103934910845708845056z2\
   3+13773306630404801119508893030689754375/2887080856825245696z24
See also: borderBasis.