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) -- 0.00660927 seconds elapsed -- 0.0142256 seconds elapsed (number Of blocks, 26) -- 0.000159279 seconds elapsed 1 -- 0.000103565 seconds elapsed 1 -- 0.000099657 seconds elapsed 1 -- 0.000095488 seconds elapsed 1 -- 0.000099526 seconds elapsed 2 -- 0.00010666 seconds elapsed 2 2 -- 0.000121718 seconds elapsed 2 2 -- 0.000125275 seconds elapsed 2 2 3 -- 0.000112781 seconds elapsed 2 2 3 -- 0.000110407 seconds elapsed 2 2 3 -- 0.000102221 seconds elapsed 2 2 -- 0.00010616 seconds elapsed 2 2 -- 0.000099245 seconds elapsed 2 -- 0.000094697 seconds elapsed 2 -- 0.000103745 seconds elapsed 2 2 -- 0.000099095 seconds elapsed 2 2 -- 0.000111458 seconds elapsed 2 2 3 -- 0.000123642 seconds elapsed 2 2 3 -- 0.000129603 seconds elapsed 2 2 3 -- 0.000120025 seconds elapsed 2 2 -- 0.000105098 seconds elapsed 2 2 -- 0.000094517 seconds elapsed 2 -- 0.000098173 seconds elapsed 1 -- 0.000100018 seconds elapsed 1 -- 0.000099857 seconds elapsed 1 -- 0.000100497 seconds elapsed 1 o2 = 3131031158784 |
i3 : factor d 32 6 o3 = 2 3 o3 : Expression of class Product |