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)
     -- 0.0427027 seconds elapsed
     -- 0.0249062 seconds elapsed
(number Of blocks, 26)
     -- 0.000193107 seconds elapsed
1
     -- 0.000152509 seconds elapsed
1
     -- 0.00014115 seconds elapsed
1
     -- 0.000135759 seconds elapsed
1
     -- 0.000135706 seconds elapsed
2
     -- 0.00014363 seconds elapsed
 2
2
     -- 0.000182932 seconds elapsed
 2
2
     -- 0.000201471 seconds elapsed
 2
2 3
     -- 0.000165787 seconds elapsed
 2
2 3
     -- 0.000153993 seconds elapsed
 2
2 3
     -- 0.000143306 seconds elapsed
 2
2
     -- 0.000146378 seconds elapsed
 2
2
     -- 0.000136883 seconds elapsed
2
     -- 0.000136202 seconds elapsed
2
     -- 0.000147042 seconds elapsed
 2
2
     -- 0.000138294 seconds elapsed
 2
2
     -- 0.000163605 seconds elapsed
 2
2 3
     -- 0.000159283 seconds elapsed
 2
2 3
     -- 0.000189379 seconds elapsed
 2
2 3
     -- 0.000164021 seconds elapsed
 2
2
     -- 0.000152185 seconds elapsed
 2
2
     -- 0.00013765 seconds elapsed
2
     -- 0.00014628 seconds elapsed
1
     -- 0.000155294 seconds elapsed
1
     -- 0.000142806 seconds elapsed
1
     -- 0.000160234 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :