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) -- 0.116192 seconds elapsed -- 0.0400671 seconds elapsed (number Of blocks, 26) -- 0.000367554 seconds elapsed 1 -- 0.000307798 seconds elapsed 1 -- 0.000293679 seconds elapsed 1 -- 0.00027908 seconds elapsed 1 -- 0.0002783 seconds elapsed 2 -- 0.000302158 seconds elapsed 2 2 -- 0.000350075 seconds elapsed 2 2 -- 0.000371853 seconds elapsed 2 2 3 -- 0.000317397 seconds elapsed 2 2 3 -- 0.000316977 seconds elapsed 2 2 3 -- 0.000302398 seconds elapsed 2 2 -- 0.000304838 seconds elapsed 2 2 -- 0.00027628 seconds elapsed 2 -- 0.00027678 seconds elapsed 2 -- 0.000298779 seconds elapsed 2 2 -- 0.000280439 seconds elapsed 2 2 -- 0.000318337 seconds elapsed 2 2 3 -- 0.000319377 seconds elapsed 2 2 3 -- 0.000362534 seconds elapsed 2 2 3 -- 0.000346215 seconds elapsed 2 2 -- 0.000331037 seconds elapsed 2 2 -- 0.000297399 seconds elapsed 2 -- 0.000303718 seconds elapsed 1 -- 0.000298799 seconds elapsed 1 -- 0.000321996 seconds elapsed 1 -- 0.000302879 seconds elapsed 1 o2 = 3131031158784 |
i3 : factor d 32 6 o3 = 2 3 o3 : Expression of class Product |