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) -- 0.031689 seconds elapsed -- 0.0099601 seconds elapsed (number Of blocks, 26) -- 0.000108194 seconds elapsed 1 -- 0.000081329 seconds elapsed 1 -- 0.000077211 seconds elapsed 1 -- 0.000062213 seconds elapsed 1 -- 0.000061613 seconds elapsed 2 -- 0.000064955 seconds elapsed 2 2 -- 0.000084662 seconds elapsed 2 2 -- 0.000095694 seconds elapsed 2 2 3 -- 0.000086112 seconds elapsed 2 2 3 -- 0.000091216 seconds elapsed 2 2 3 -- 0.000078363 seconds elapsed 2 2 -- 0.000076251 seconds elapsed 2 2 -- 0.000074815 seconds elapsed 2 -- 0.000071825 seconds elapsed 2 -- 0.000076099 seconds elapsed 2 2 -- 0.000071879 seconds elapsed 2 2 -- 0.000068723 seconds elapsed 2 2 3 -- 0.000080028 seconds elapsed 2 2 3 -- 0.000094949 seconds elapsed 2 2 3 -- 0.00008526 seconds elapsed 2 2 -- 0.000079618 seconds elapsed 2 2 -- 0.000075881 seconds elapsed 2 -- 0.00006752 seconds elapsed 1 -- 0.000086102 seconds elapsed 1 -- 0.000075787 seconds elapsed 1 -- 0.000072505 seconds elapsed 1 o2 = 3131031158784 |
i3 : factor d 32 6 o3 = 2 3 o3 : Expression of class Product |