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) -- 0.0210014 seconds elapsed -- 0.0457037 seconds elapsed (number Of blocks, 26) -- 0.000368624 seconds elapsed 1 -- 0.000340064 seconds elapsed 1 -- 0.000306643 seconds elapsed 1 -- 0.000338563 seconds elapsed 1 -- 0.000290923 seconds elapsed 2 -- 0.000307163 seconds elapsed 2 2 -- 0.000416684 seconds elapsed 2 2 -- 0.000392704 seconds elapsed 2 2 3 -- 0.000379784 seconds elapsed 2 2 3 -- 0.000319983 seconds elapsed 2 2 3 -- 0.000304403 seconds elapsed 2 2 -- 0.000305223 seconds elapsed 2 2 -- 0.000348804 seconds elapsed 2 -- 0.000348263 seconds elapsed 2 -- 0.000313543 seconds elapsed 2 2 -- 0.000295463 seconds elapsed 2 2 -- 0.000338463 seconds elapsed 2 2 3 -- 0.000379204 seconds elapsed 2 2 3 -- 0.000379484 seconds elapsed 2 2 3 -- 0.000344844 seconds elapsed 2 2 -- 0.000327344 seconds elapsed 2 2 -- 0.000348304 seconds elapsed 2 -- 0.000304063 seconds elapsed 1 -- 0.000304244 seconds elapsed 1 -- 0.000345664 seconds elapsed 1 -- 0.000293543 seconds elapsed 1 o2 = 3131031158784 |
i3 : factor d 32 6 o3 = 2 3 o3 : Expression of class Product |