next | previous | forward | backward | up | top | index | toc | packages | Macaulay2 website
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)
 -- 0.0166481 seconds elapsed
 -- 0.0132241 seconds elapsed
 -- 0.000175386 seconds elapsed
 -- 0.000175159 seconds elapsed
 -- 0.000162477 seconds elapsed
 -- 0.000148608 seconds elapsed
 -- 0.000153612 seconds elapsed
 -- 0.000156839 seconds elapsed
 -- 0.000174465 seconds elapsed
 -- 0.000171766 seconds elapsed
 -- 0.000149419 seconds elapsed
 -- 0.000151247 seconds elapsed
 -- 0.000138396 seconds elapsed
 -- 0.000140268 seconds elapsed
 -- 0.000138157 seconds elapsed
 -- 0.000127872 seconds elapsed
 -- 0.000142323 seconds elapsed
 -- 0.000136022 seconds elapsed
 -- 0.000148667 seconds elapsed
 -- 0.000150897 seconds elapsed
 -- 0.000144287 seconds elapsed
 -- 0.000140107 seconds elapsed
 -- 0.000131901 seconds elapsed
 -- 0.000125072 seconds elapsed
 -- 0.000121836 seconds elapsed
 -- 0.000133003 seconds elapsed
 -- 0.000134211 seconds elapsed
 -- 0.000119943 seconds elapsed
(number Of blocks, 26)
1
1
1
1
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
1
1
1
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :

For the programmer

The object carpetDet is a method function.