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) -- 0.133429 seconds elapsed -- 0.0402364 seconds elapsed (number Of blocks, 26) -- 0.000410365 seconds elapsed 1 -- 0.000330504 seconds elapsed 1 -- 0.000307464 seconds elapsed 1 -- 0.000305304 seconds elapsed 1 -- 0.000353524 seconds elapsed 2 -- 0.000329445 seconds elapsed 2 2 -- 0.000375585 seconds elapsed 2 2 -- 0.000398105 seconds elapsed 2 2 3 -- 0.000346744 seconds elapsed 2 2 3 -- 0.000338584 seconds elapsed 2 2 3 -- 0.000315564 seconds elapsed 2 2 -- 0.000323404 seconds elapsed 2 2 -- 0.000303843 seconds elapsed 2 -- 0.000298984 seconds elapsed 2 -- 0.000316124 seconds elapsed 2 2 -- 0.000299224 seconds elapsed 2 2 -- 0.000343264 seconds elapsed 2 2 3 -- 0.000345264 seconds elapsed 2 2 3 -- 0.000377024 seconds elapsed 2 2 3 -- 0.0699877 seconds elapsed 2 2 -- 0.000418405 seconds elapsed 2 2 -- 0.000307324 seconds elapsed 2 -- 0.000302324 seconds elapsed 1 -- 0.000315244 seconds elapsed 1 -- 0.000315324 seconds elapsed 1 -- 0.000305504 seconds elapsed 1 o2 = 3131031158784 |
i3 : factor d 32 6 o3 = 2 3 o3 : Expression of class Product |