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) -- 0.0100894 seconds elapsed -- 0.0125662 seconds elapsed (number Of blocks, 26) -- 0.000156929 seconds elapsed 1 -- 0.000101867 seconds elapsed 1 -- 0.000104818 seconds elapsed 1 -- 0.000095705 seconds elapsed 1 -- 0.000094578 seconds elapsed 2 -- 0.000110238 seconds elapsed 2 2 -- 0.000115504 seconds elapsed 2 2 -- 0.000122876 seconds elapsed 2 2 3 -- 0.000113618 seconds elapsed 2 2 3 -- 0.000109371 seconds elapsed 2 2 3 -- 0.000105686 seconds elapsed 2 2 -- 0.000105055 seconds elapsed 2 2 -- 0.000096795 seconds elapsed 2 -- 0.000099685 seconds elapsed 2 -- 0.00010665 seconds elapsed 2 2 -- 0.000110075 seconds elapsed 2 2 -- 0.000130533 seconds elapsed 2 2 3 -- 0.000122765 seconds elapsed 2 2 3 -- 0.000132645 seconds elapsed 2 2 3 -- 0.000117992 seconds elapsed 2 2 -- 0.000141232 seconds elapsed 2 2 -- 0.000097391 seconds elapsed 2 -- 0.000101691 seconds elapsed 1 -- 0.000107947 seconds elapsed 1 -- 0.000100913 seconds elapsed 1 -- 0.000098083 seconds elapsed 1 o2 = 3131031158784 |
i3 : factor d 32 6 o3 = 2 3 o3 : Expression of class Product |