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) -- 0.058836 seconds elapsed -- 0.0140555 seconds elapsed (number Of blocks, 26) -- 0.000144532 seconds elapsed 1 -- 0.000147542 seconds elapsed 1 -- 0.00011507 seconds elapsed 1 -- 0.00010505 seconds elapsed 1 -- 0.000105348 seconds elapsed 2 -- 0.000128778 seconds elapsed 2 2 -- 0.000132804 seconds elapsed 2 2 -- 0.000148534 seconds elapsed 2 2 3 -- 0.000121985 seconds elapsed 2 2 3 -- 0.000117905 seconds elapsed 2 2 3 -- 0.0001257 seconds elapsed 2 2 -- 0.000114258 seconds elapsed 2 2 -- 0.000103582 seconds elapsed 2 -- 0.000103494 seconds elapsed 2 -- 0.000132996 seconds elapsed 2 2 -- 0.000103989 seconds elapsed 2 2 -- 0.000119679 seconds elapsed 2 2 3 -- 0.000136776 seconds elapsed 2 2 3 -- 0.000130357 seconds elapsed 2 2 3 -- 0.00014709 seconds elapsed 2 2 -- 0.000112143 seconds elapsed 2 2 -- 0.000101607 seconds elapsed 2 -- 0.000095573 seconds elapsed 1 -- 0.000117439 seconds elapsed 1 -- 0.000138938 seconds elapsed 1 -- 0.000197665 seconds elapsed 1 o2 = 3131031158784 |
i3 : factor d 32 6 o3 = 2 3 o3 : Expression of class Product |