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) -- 0.0946747 seconds elapsed -- 0.0410079 seconds elapsed (number Of blocks, 26) -- 0.000407883 seconds elapsed 1 -- 0.000354562 seconds elapsed 1 -- 0.000315002 seconds elapsed 1 -- 0.000300743 seconds elapsed 1 -- 0.000307242 seconds elapsed 2 -- 0.000327802 seconds elapsed 2 2 -- 0.000388603 seconds elapsed 2 2 -- 0.000406203 seconds elapsed 2 2 3 -- 0.000359003 seconds elapsed 2 2 3 -- 0.000346723 seconds elapsed 2 2 3 -- 0.000309322 seconds elapsed 2 2 -- 0.000318182 seconds elapsed 2 2 -- 0.000308863 seconds elapsed 2 -- 0.000302622 seconds elapsed 2 -- 0.000338943 seconds elapsed 2 2 -- 0.000360342 seconds elapsed 2 2 -- 0.000413483 seconds elapsed 2 2 3 -- 0.000392963 seconds elapsed 2 2 3 -- 0.000480543 seconds elapsed 2 2 3 -- 0.000409143 seconds elapsed 2 2 -- 0.000360162 seconds elapsed 2 2 -- 0.000345523 seconds elapsed 2 -- 0.000350303 seconds elapsed 1 -- 0.000368342 seconds elapsed 1 -- 0.000352303 seconds elapsed 1 -- 0.000355782 seconds elapsed 1 o2 = 3131031158784 |
i3 : factor d 32 6 o3 = 2 3 o3 : Expression of class Product |