We compute nonminimal resolution F of the carpet of type (a,b) over a finite prime field, Lift this to a resolution over ZZ, introduce the fine grading, grep the various blocks of the crucial map in the a-th strand, compute their determinants and return their product.
i1 : a=4,b=4 o1 = (4, 4) o1 : Sequence |
i2 : d=carpetDet(a,b) -- 0.0102221 seconds elapsed -- 0.0207029 seconds elapsed (number Of blocks, 26) -- 0.000160204 seconds elapsed 1 -- 0.000251372 seconds elapsed 1 -- 0.000140033 seconds elapsed 1 -- 0.000132444 seconds elapsed 1 -- 0.000145688 seconds elapsed 2 -- 0.000256312 seconds elapsed 2 2 -- 0.000285938 seconds elapsed 2 2 -- 0.000229064 seconds elapsed 2 2 3 -- 0.000156644 seconds elapsed 2 2 3 -- 0.000147911 seconds elapsed 2 2 3 -- 0.000130734 seconds elapsed 2 2 -- 0.000203893 seconds elapsed 2 2 -- 0.000186128 seconds elapsed 2 -- 0.000134892 seconds elapsed 2 -- 0.00014758 seconds elapsed 2 2 -- 0.000132082 seconds elapsed 2 2 -- 0.000215193 seconds elapsed 2 2 3 -- 0.000180676 seconds elapsed 2 2 3 -- 0.000164999 seconds elapsed 2 2 3 -- 0.000173876 seconds elapsed 2 2 -- 0.000154628 seconds elapsed 2 2 -- 0.000138048 seconds elapsed 2 -- 0.000141159 seconds elapsed 1 -- 0.000288116 seconds elapsed 1 -- 0.000184925 seconds elapsed 1 -- 0.000136066 seconds elapsed 1 o2 = 3131031158784 |
i3 : factor d 32 6 o3 = 2 3 o3 : Expression of class Product |