next | previous | forward | backward | up | top | index | toc | Macaulay2 web site
K3Carpets :: carpetDet

carpetDet -- compute the determinant of the crucial constant strand of a carpet X(a,b)

Synopsis

Description

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)
     -- 0.0100373 seconds elapsed
     -- 0.0210327 seconds elapsed
(number Of blocks, 26)
     -- 0.000229007 seconds elapsed
1
     -- 0.000138519 seconds elapsed
1
     -- 0.000136305 seconds elapsed
1
     -- 0.000131585 seconds elapsed
1
     -- 0.000129221 seconds elapsed
2
     -- 0.000145101 seconds elapsed
 2
2
     -- 0.000187871 seconds elapsed
 2
2
     -- 0.000192218 seconds elapsed
 2
2 3
     -- 0.000164488 seconds elapsed
 2
2 3
     -- 0.000147405 seconds elapsed
 2
2 3
     -- 0.0001396 seconds elapsed
 2
2
     -- 0.000148828 seconds elapsed
 2
2
     -- 0.000132678 seconds elapsed
2
     -- 0.000129652 seconds elapsed
2
     -- 0.00014958 seconds elapsed
 2
2
     -- 0.000138339 seconds elapsed
 2
2
     -- 0.000159037 seconds elapsed
 2
2 3
     -- 0.000164897 seconds elapsed
 2
2 3
     -- 0.000174966 seconds elapsed
 2
2 3
     -- 0.000162814 seconds elapsed
 2
2
     -- 0.000147135 seconds elapsed
 2
2
     -- 0.000131676 seconds elapsed
2
     -- 0.000136876 seconds elapsed
1
     -- 0.000137928 seconds elapsed
1
     -- 0.000151894 seconds elapsed
1
     -- 0.000142216 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :