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) -- 0.00948212 seconds elapsed -- 0.0127174 seconds elapsed (number Of blocks, 26) -- 0.000158673 seconds elapsed 1 -- 0.00012525 seconds elapsed 1 -- 0.000102928 seconds elapsed 1 -- 0.000097141 seconds elapsed 1 -- 0.000102864 seconds elapsed 2 -- 0.000113277 seconds elapsed 2 2 -- 0.000121385 seconds elapsed 2 2 -- 0.000135644 seconds elapsed 2 2 3 -- 0.000118826 seconds elapsed 2 2 3 -- 0.000113355 seconds elapsed 2 2 3 -- 0.000106263 seconds elapsed 2 2 -- 0.000188294 seconds elapsed 2 2 -- 0.000098819 seconds elapsed 2 -- 0.000098067 seconds elapsed 2 -- 0.000115445 seconds elapsed 2 2 -- 0.000106963 seconds elapsed 2 2 -- 0.00011674 seconds elapsed 2 2 3 -- 0.000114159 seconds elapsed 2 2 3 -- 0.000133297 seconds elapsed 2 2 3 -- 0.00012495 seconds elapsed 2 2 -- 0.000109699 seconds elapsed 2 2 -- 0.000098279 seconds elapsed 2 -- 0.00009807 seconds elapsed 1 -- 0.00010443 seconds elapsed 1 -- 0.000099636 seconds elapsed 1 -- 0.000097826 seconds elapsed 1 o2 = 3131031158784 |
i3 : factor d 32 6 o3 = 2 3 o3 : Expression of class Product |