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D.4.33.2 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\
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   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\
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   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\
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   875392y4z11+312266920336765/2944455624y3z12+369221219233489/3925940832y2z\
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   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\
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   /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\
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   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\
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   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\
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   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\
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   z13+51289774263611/2617293888yz14+21727413902435/5888911248z15-1323759792\
   507375/898868608y3z13+50451185694352075/1522683421952y2z14+50458799111461\
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   102738299763444907/1622790636544z17+5yz17+95/12z18+1797545/94yz18-9586945\
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   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\
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   z19+229433021403845/2141422272yz19+177561956970445/713807424z20+437251626\
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   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\
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   y3z13-7367766263566669687/761341710976y2z14-7367766263566669687/761341710\
   976yz15-11162071680208388897/761341710976z16-8866788100400929259007/81139\
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   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\
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   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\
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   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\
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   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\
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   51530645/40608y4z10-593889031/2592y3z11-3754807597/13536y2z12-5387471995/\
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   8z17+36475/4yz17-677825/32z18-7346744615/5076yz18-154285681835/121824z19+\
   7773403307100775/178451856yz19-8644863356275/14870988z20-6754175699206002\
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   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\
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   4465492508544yz21-126778248897139344222571715/781136595461376z22+12518104\
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   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\
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   3021781185/24522344yz16-22233021781185/24522344z17-25yz17+775z18+48600yz1\
   8+42525z19-20413773700/13959yz19+183517925/9306z20+443546916219075/676753\
   yz20+1711538620047975/5414024z21-1078898021998400925/208439924yz21-274335\
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   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\
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   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\
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   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\
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   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\
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   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\
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   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/\
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   8y5z9+2458368725/40608y4z10-593601799/2592y3z11-3754171309/13536y2z12-538\
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   34448384y2z15+29296922526353997895/331934448384yz16+29296929165042965575/\
   331934448384z17+36475/4yz17-677825/32z18-7346578175/5076yz18-154292180075\
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   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-\
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   111241/10152y5z9-80260315/10152y4z10+18125705/648y3z11+115402115/3384y2z1\
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   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\
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   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\
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   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\
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   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\
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   23-579753714099344109212936261465069775/35642973541052416z24
==> j[134]=xy6z+y7z+y6z2+xyz6+y2z6+yz7-355/2y10z-1205/2y9z2-3375/2y8z3-2775y7\
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==> j[135]=x2y6+2xy7+y8-y6z2-2xyz6-2y2z6-2yz7+355y10z+1205y9z2+3375y8z3+5550y\
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   z24
==> j[136]=x2z5+2xyz5+y2z5+2xz6+2yz6+z7-40/3y10z2-200/3y9z3-210y8z4-440y7z5-5\
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   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\
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   3914867803773218240136443375/29775089050527744z24
==> j[138]=x2yz4-y3z4-2y2z5-yz6+40y10+200y9z+630y8z2+1320y7z3+1680y6z4+1260y5\
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   08125/1771617798506400768z24
==> j[139]=xy3z3+y4z3+y3z4-xyz5-y2z5-yz6+30y10+135y9z+405y8z2+720y7z3+630y6z4\
   -630y4z6-720y3z7+270xyz8-135y2z8+150yz9-45z10+390y10z2+1495y9z3+3105y8z4+\
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   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-\
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   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\
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   153241y3z12+54884202969283745/59483952y2z13+1661634827279765/1802544yz14+\
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   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\
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   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\
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   441408yz15+172330713110956919175/34606441408z16-999933682115336447375/368\
   81605376y2z15-999933733058053872975/36881605376yz16-999933566168789546575\
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   88225/6768z19-15532249821596025/3304664yz19+72106910279025/1652332z20+181\
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   2-3225761466861633204571190657625/6480540643827712z23+7205681962351187009\
   5854329883292375/262461896075022336z24
==> j[143]=x2y5+2xy6+y7-y5z2+2xyz5+2y2z5+2yz6-150y10-510y9z-1620y8z2-2880y7z3\
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   212950647820128395625/168725504619657216z24
==> j[144]=x2z4+2xyz4+y2z4+2xz5+2yz5+z6-40/3y10z-200/3y9z2-210y8z3-440y7z4-56\
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==> j[145]=x2yz3+2xy2z3+y3z3+2xyz4+2y2z4+yz5+20/3y10z+70/3y9z2+60y8z3+40y7z4-\
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   320786761869471744z24
==> j[146]=xy3z2+y4z2+3/2xy2z3+5/2y3z3+1/2xyz4+2y2z4+1/2yz5+135/2xy8+105/2y9-\
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   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\
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   668919731023673319941364314212875/68740020400601088z24
==> j[148]=xy4z+y5z+y4z2-5/2xy2z3-5/2y3z3-3/2xyz4-4y2z4-3/2yz5-135/2xy8-75/2y\
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   3408z23+92151273964207246078029594408981569375/3849441142433660928z24
==> j[149]=x2y3z-y5z-2y4z2+2xy2z3+y3z3+2xyz4+4y2z4+2yz5-30y9+30z9-205/3y10z-4\
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   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\
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   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\
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   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\
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   03220704z21+11077116167014107916983025325/2050483563086112yz21+1728722176\
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   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\
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   710y7z6-94245/2y6z7+730395y5z8+10060575/8y4z9+4279785/4y3z10+4003065/8y2z\
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   076809216z24
==> j[153]=x2y2z+2xy3z+y4z+2xy2z2+2y3z2+y2z3-40/3y10-170/3y9z-210y8z2-440y7z3\
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   -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\
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   2356386637393626600336845176375/3037059083153829888z24
==> j[155]=x2z2+2xyz2+y2z2+2xz3+2yz3+z4-2/3xy2z3-2/3y3z3-2/3xyz4-4/3y2z4-2/3y\
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   25/94y6z8+235722975/94y5z9+2744424075/1034y4z10+40093425/22y3z11+83109997\
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   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\
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   546022107683399753037302991167375/2887080856825245696z24
==> j[157]=x2y2+2xy3+y4+2xy2z+2y3z+y2z2-2/3xy2z3-2/3y3z3-2/3xyz4-4/3y2z4-2/3y\
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   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\
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   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/\
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   83471587033435652875/21259413582076809216z24
==> j[160]=x2+2xy+y2+2xz+2yz+z2-2/3xy2z-2/3y3z-2/3xyz2-4/3y2z2-2/3yz3-1/3xy2z\
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   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.

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