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D.4.24.11 finiteDiagInvariants

Procedure from library normaliz.lib (see normaliz_lib).

Usage:
finiteDiagInvariants(intmat U);
finiteDiagInvariants(intmat U, intvec grading);

Return:


The function returns the ideal given by the input matrix C if one of the options supp, triang, volume, or hseries has been activated. However, in this case some numerical invariants are computed, and some other data may be contained in files that you can read into Singular (see showNuminvs, exportNuminvs).

Note:

Example:
 
LIB "normaliz.lib";
ring R = 0,(x,y,z,w),dp;
intmat C[2][5] = 1,1,1,1,5, 1,0,2,0,7;
finiteDiagInvariants(C);
==> _[1]=w5
==> _[2]=z7w3
==> _[3]=z14w
==> _[4]=z35
==> _[5]=yw4
==> _[6]=yz7w2
==> _[7]=yz14
==> _[8]=y2w3
==> _[9]=y2z7w
==> _[10]=y3w2
==> _[11]=y3z7
==> _[12]=y4w
==> _[13]=y5
==> _[14]=xz3w
==> _[15]=xz24
==> _[16]=xyz3
==> _[17]=x2z13
==> _[18]=x3z2
==> _[19]=x5zw4
==> _[20]=x5yzw3
==> _[21]=x5y2zw2
==> _[22]=x5y3zw
==> _[23]=x5y4z
==> _[24]=x7w3
==> _[25]=x7yw2
==> _[26]=x7y2w
==> _[27]=x7y3
==> _[28]=x12zw2
==> _[29]=x12yzw
==> _[30]=x12y2z
==> _[31]=x14w
==> _[32]=x14y
==> _[33]=x19z
==> _[34]=x35
See also: diagInvariants; intersectionValRingIdeals; intersectionValRings; torusInvariants.


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