Singular

LIB "fpadim.lib";
ring r = 0,(a,b,c),dp;
def R = makeLetterplaceRing(7); setring R;
lpMaxIdeal(1,0);
==> _[1]=c(1)
==> _[2]=b(1)
==> _[3]=a(1)
lpMaxIdeal(2,0);
==> _[1]=c(1)
==> _[2]=b(1)
==> _[3]=a(1)
==> _[4]=a(1)*c(2)
==> _[5]=a(1)*b(2)
==> _[6]=a(1)*a(2)
==> _[7]=b(1)*c(2)
==> _[8]=b(1)*b(2)
==> _[9]=b(1)*a(2)
==> _[10]=c(1)*c(2)
==> _[11]=c(1)*b(2)
==> _[12]=c(1)*a(2)
lpMaxIdeal(2,1);
==> _[1]=a(1)*c(2)
==> _[2]=a(1)*b(2)
==> _[3]=a(1)*a(2)
==> _[4]=b(1)*c(2)
==> _[5]=b(1)*b(2)
==> _[6]=b(1)*a(2)
==> _[7]=c(1)*c(2)
==> _[8]=c(1)*b(2)
==> _[9]=c(1)*a(2)
lpMaxIdeal(4,0);
==> _[1]=c(1)
==> _[2]=b(1)
==> _[3]=a(1)
==> _[4]=a(1)*c(2)
==> _[5]=a(1)*b(2)
==> _[6]=a(1)*a(2)
==> _[7]=b(1)*c(2)
==> _[8]=b(1)*b(2)
==> _[9]=b(1)*a(2)
==> _[10]=c(1)*c(2)
==> _[11]=c(1)*b(2)
==> _[12]=c(1)*a(2)
==> _[13]=c(1)*a(2)*c(3)
==> _[14]=c(1)*a(2)*b(3)
==> _[15]=c(1)*a(2)*a(3)
==> _[16]=c(1)*b(2)*c(3)
==> _[17]=c(1)*b(2)*b(3)
==> _[18]=c(1)*b(2)*a(3)
==> _[19]=c(1)*c(2)*c(3)
==> _[20]=c(1)*c(2)*b(3)
==> _[21]=c(1)*c(2)*a(3)
==> _[22]=b(1)*a(2)*c(3)
==> _[23]=b(1)*a(2)*b(3)
==> _[24]=b(1)*a(2)*a(3)
==> _[25]=b(1)*b(2)*c(3)
==> _[26]=b(1)*b(2)*b(3)
==> _[27]=b(1)*b(2)*a(3)
==> _[28]=b(1)*c(2)*c(3)
==> _[29]=b(1)*c(2)*b(3)
==> _[30]=b(1)*c(2)*a(3)
==> _[31]=a(1)*a(2)*c(3)
==> _[32]=a(1)*a(2)*b(3)
==> _[33]=a(1)*a(2)*a(3)
==> _[34]=a(1)*b(2)*c(3)
==> _[35]=a(1)*b(2)*b(3)
==> _[36]=a(1)*b(2)*a(3)
==> _[37]=a(1)*c(2)*c(3)
==> _[38]=a(1)*c(2)*b(3)
==> _[39]=a(1)*c(2)*a(3)
==> _[40]=a(1)*c(2)*a(3)*c(4)
==> _[41]=a(1)*c(2)*a(3)*b(4)
==> _[42]=a(1)*c(2)*a(3)*a(4)
==> _[43]=a(1)*c(2)*b(3)*c(4)
==> _[44]=a(1)*c(2)*b(3)*b(4)
==> _[45]=a(1)*c(2)*b(3)*a(4)
==> _[46]=a(1)*c(2)*c(3)*c(4)
==> _[47]=a(1)*c(2)*c(3)*b(4)
==> _[48]=a(1)*c(2)*c(3)*a(4)
==> _[49]=a(1)*b(2)*a(3)*c(4)
==> _[50]=a(1)*b(2)*a(3)*b(4)
==> _[51]=a(1)*b(2)*a(3)*a(4)
==> _[52]=a(1)*b(2)*b(3)*c(4)
==> _[53]=a(1)*b(2)*b(3)*b(4)
==> _[54]=a(1)*b(2)*b(3)*a(4)
==> _[55]=a(1)*b(2)*c(3)*c(4)
==> _[56]=a(1)*b(2)*c(3)*b(4)
==> _[57]=a(1)*b(2)*c(3)*a(4)
==> _[58]=a(1)*a(2)*a(3)*c(4)
==> _[59]=a(1)*a(2)*a(3)*b(4)
==> _[60]=a(1)*a(2)*a(3)*a(4)
==> _[61]=a(1)*a(2)*b(3)*c(4)
==> _[62]=a(1)*a(2)*b(3)*b(4)
==> _[63]=a(1)*a(2)*b(3)*a(4)
==> _[64]=a(1)*a(2)*c(3)*c(4)
==> _[65]=a(1)*a(2)*c(3)*b(4)
==> _[66]=a(1)*a(2)*c(3)*a(4)
==> _[67]=b(1)*c(2)*a(3)*c(4)
==> _[68]=b(1)*c(2)*a(3)*b(4)
==> _[69]=b(1)*c(2)*a(3)*a(4)
==> _[70]=b(1)*c(2)*b(3)*c(4)
==> _[71]=b(1)*c(2)*b(3)*b(4)
==> _[72]=b(1)*c(2)*b(3)*a(4)
==> _[73]=b(1)*c(2)*c(3)*c(4)
==> _[74]=b(1)*c(2)*c(3)*b(4)
==> _[75]=b(1)*c(2)*c(3)*a(4)
==> _[76]=b(1)*b(2)*a(3)*c(4)
==> _[77]=b(1)*b(2)*a(3)*b(4)
==> _[78]=b(1)*b(2)*a(3)*a(4)
==> _[79]=b(1)*b(2)*b(3)*c(4)
==> _[80]=b(1)*b(2)*b(3)*b(4)
==> _[81]=b(1)*b(2)*b(3)*a(4)
==> _[82]=b(1)*b(2)*c(3)*c(4)
==> _[83]=b(1)*b(2)*c(3)*b(4)
==> _[84]=b(1)*b(2)*c(3)*a(4)
==> _[85]=b(1)*a(2)*a(3)*c(4)
==> _[86]=b(1)*a(2)*a(3)*b(4)
==> _[87]=b(1)*a(2)*a(3)*a(4)
==> _[88]=b(1)*a(2)*b(3)*c(4)
==> _[89]=b(1)*a(2)*b(3)*b(4)
==> _[90]=b(1)*a(2)*b(3)*a(4)
==> _[91]=b(1)*a(2)*c(3)*c(4)
==> _[92]=b(1)*a(2)*c(3)*b(4)
==> _[93]=b(1)*a(2)*c(3)*a(4)
==> _[94]=c(1)*c(2)*a(3)*c(4)
==> _[95]=c(1)*c(2)*a(3)*b(4)
==> _[96]=c(1)*c(2)*a(3)*a(4)
==> _[97]=c(1)*c(2)*b(3)*c(4)
==> _[98]=c(1)*c(2)*b(3)*b(4)
==> _[99]=c(1)*c(2)*b(3)*a(4)
==> _[100]=c(1)*c(2)*c(3)*c(4)
==> _[101]=c(1)*c(2)*c(3)*b(4)
==> _[102]=c(1)*c(2)*c(3)*a(4)
==> _[103]=c(1)*b(2)*a(3)*c(4)
==> _[104]=c(1)*b(2)*a(3)*b(4)
==> _[105]=c(1)*b(2)*a(3)*a(4)
==> _[106]=c(1)*b(2)*b(3)*c(4)
==> _[107]=c(1)*b(2)*b(3)*b(4)
==> _[108]=c(1)*b(2)*b(3)*a(4)
==> _[109]=c(1)*b(2)*c(3)*c(4)
==> _[110]=c(1)*b(2)*c(3)*b(4)
==> _[111]=c(1)*b(2)*c(3)*a(4)
==> _[112]=c(1)*a(2)*a(3)*c(4)
==> _[113]=c(1)*a(2)*a(3)*b(4)
==> _[114]=c(1)*a(2)*a(3)*a(4)
==> _[115]=c(1)*a(2)*b(3)*c(4)
==> _[116]=c(1)*a(2)*b(3)*b(4)
==> _[117]=c(1)*a(2)*b(3)*a(4)
==> _[118]=c(1)*a(2)*c(3)*c(4)
==> _[119]=c(1)*a(2)*c(3)*b(4)
==> _[120]=c(1)*a(2)*c(3)*a(4)
lpMaxIdeal(4,1);
==> _[1]=a(1)*c(2)*a(3)*c(4)
==> _[2]=a(1)*c(2)*a(3)*b(4)
==> _[3]=a(1)*c(2)*a(3)*a(4)
==> _[4]=a(1)*c(2)*b(3)*c(4)
==> _[5]=a(1)*c(2)*b(3)*b(4)
==> _[6]=a(1)*c(2)*b(3)*a(4)
==> _[7]=a(1)*c(2)*c(3)*c(4)
==> _[8]=a(1)*c(2)*c(3)*b(4)
==> _[9]=a(1)*c(2)*c(3)*a(4)
==> _[10]=a(1)*b(2)*a(3)*c(4)
==> _[11]=a(1)*b(2)*a(3)*b(4)
==> _[12]=a(1)*b(2)*a(3)*a(4)
==> _[13]=a(1)*b(2)*b(3)*c(4)
==> _[14]=a(1)*b(2)*b(3)*b(4)
==> _[15]=a(1)*b(2)*b(3)*a(4)
==> _[16]=a(1)*b(2)*c(3)*c(4)
==> _[17]=a(1)*b(2)*c(3)*b(4)
==> _[18]=a(1)*b(2)*c(3)*a(4)
==> _[19]=a(1)*a(2)*a(3)*c(4)
==> _[20]=a(1)*a(2)*a(3)*b(4)
==> _[21]=a(1)*a(2)*a(3)*a(4)
==> _[22]=a(1)*a(2)*b(3)*c(4)
==> _[23]=a(1)*a(2)*b(3)*b(4)
==> _[24]=a(1)*a(2)*b(3)*a(4)
==> _[25]=a(1)*a(2)*c(3)*c(4)
==> _[26]=a(1)*a(2)*c(3)*b(4)
==> _[27]=a(1)*a(2)*c(3)*a(4)
==> _[28]=b(1)*c(2)*a(3)*c(4)
==> _[29]=b(1)*c(2)*a(3)*b(4)
==> _[30]=b(1)*c(2)*a(3)*a(4)
==> _[31]=b(1)*c(2)*b(3)*c(4)
==> _[32]=b(1)*c(2)*b(3)*b(4)
==> _[33]=b(1)*c(2)*b(3)*a(4)
==> _[34]=b(1)*c(2)*c(3)*c(4)
==> _[35]=b(1)*c(2)*c(3)*b(4)
==> _[36]=b(1)*c(2)*c(3)*a(4)
==> _[37]=b(1)*b(2)*a(3)*c(4)
==> _[38]=b(1)*b(2)*a(3)*b(4)
==> _[39]=b(1)*b(2)*a(3)*a(4)
==> _[40]=b(1)*b(2)*b(3)*c(4)
==> _[41]=b(1)*b(2)*b(3)*b(4)
==> _[42]=b(1)*b(2)*b(3)*a(4)
==> _[43]=b(1)*b(2)*c(3)*c(4)
==> _[44]=b(1)*b(2)*c(3)*b(4)
==> _[45]=b(1)*b(2)*c(3)*a(4)
==> _[46]=b(1)*a(2)*a(3)*c(4)
==> _[47]=b(1)*a(2)*a(3)*b(4)
==> _[48]=b(1)*a(2)*a(3)*a(4)
==> _[49]=b(1)*a(2)*b(3)*c(4)
==> _[50]=b(1)*a(2)*b(3)*b(4)
==> _[51]=b(1)*a(2)*b(3)*a(4)
==> _[52]=b(1)*a(2)*c(3)*c(4)
==> _[53]=b(1)*a(2)*c(3)*b(4)
==> _[54]=b(1)*a(2)*c(3)*a(4)
==> _[55]=c(1)*c(2)*a(3)*c(4)
==> _[56]=c(1)*c(2)*a(3)*b(4)
==> _[57]=c(1)*c(2)*a(3)*a(4)
==> _[58]=c(1)*c(2)*b(3)*c(4)
==> _[59]=c(1)*c(2)*b(3)*b(4)
==> _[60]=c(1)*c(2)*b(3)*a(4)
==> _[61]=c(1)*c(2)*c(3)*c(4)
==> _[62]=c(1)*c(2)*c(3)*b(4)
==> _[63]=c(1)*c(2)*c(3)*a(4)
==> _[64]=c(1)*b(2)*a(3)*c(4)
==> _[65]=c(1)*b(2)*a(3)*b(4)
==> _[66]=c(1)*b(2)*a(3)*a(4)
==> _[67]=c(1)*b(2)*b(3)*c(4)
==> _[68]=c(1)*b(2)*b(3)*b(4)
==> _[69]=c(1)*b(2)*b(3)*a(4)
==> _[70]=c(1)*b(2)*c(3)*c(4)
==> _[71]=c(1)*b(2)*c(3)*b(4)
==> _[72]=c(1)*b(2)*c(3)*a(4)
==> _[73]=c(1)*a(2)*a(3)*c(4)
==> _[74]=c(1)*a(2)*a(3)*b(4)
==> _[75]=c(1)*a(2)*a(3)*a(4)
==> _[76]=c(1)*a(2)*b(3)*c(4)
==> _[77]=c(1)*a(2)*b(3)*b(4)
==> _[78]=c(1)*a(2)*b(3)*a(4)
==> _[79]=c(1)*a(2)*c(3)*c(4)
==> _[80]=c(1)*a(2)*c(3)*b(4)
==> _[81]=c(1)*a(2)*c(3)*a(4)