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) -- 0.04313 seconds elapsed -- 0.0206581 seconds elapsed (number Of blocks, 26) -- 0.000170193 seconds elapsed 1 -- 0.000109974 seconds elapsed 1 -- 0.000105849 seconds elapsed 1 -- 0.000130246 seconds elapsed 1 -- 0.000100258 seconds elapsed 2 -- 0.000100041 seconds elapsed 2 2 -- 0.00014393 seconds elapsed 2 2 -- 0.000139935 seconds elapsed 2 2 3 -- 0.000138997 seconds elapsed 2 2 3 -- 0.000112473 seconds elapsed 2 2 3 -- 0.000101661 seconds elapsed 2 2 -- 0.000101733 seconds elapsed 2 2 -- 0.000096268 seconds elapsed 2 -- 0.000095077 seconds elapsed 2 -- 0.000122734 seconds elapsed 2 2 -- 0.000098391 seconds elapsed 2 2 -- 0.00010783 seconds elapsed 2 2 3 -- 0.000140642 seconds elapsed 2 2 3 -- 0.000119794 seconds elapsed 2 2 3 -- 0.000114753 seconds elapsed 2 2 -- 0.000126762 seconds elapsed 2 2 -- 0.000093387 seconds elapsed 2 -- 0.000087992 seconds elapsed 1 -- 0.000090903 seconds elapsed 1 -- 0.000093068 seconds elapsed 1 -- 0.00012345 seconds elapsed 1 o2 = 3131031158784 |
i3 : factor d 32 6 o3 = 2 3 o3 : Expression of class Product |