next | previous | forward | backward | up | top | index | toc | 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)
 -- 0.0114493 seconds elapsed
 -- 0.0553817 seconds elapsed
 -- 0.000357606 seconds elapsed
 -- 0.00023604 seconds elapsed
 -- 0.000344251 seconds elapsed
 -- 0.000225075 seconds elapsed
 -- 0.000227352 seconds elapsed
 -- 0.000238569 seconds elapsed
 -- 0.000267881 seconds elapsed
 -- 0.000293648 seconds elapsed
 -- 0.000258168 seconds elapsed
 -- 0.000255475 seconds elapsed
 -- 0.000235993 seconds elapsed
 -- 0.000239033 seconds elapsed
 -- 0.000237794 seconds elapsed
 -- 0.000242812 seconds elapsed
 -- 0.000290268 seconds elapsed
 -- 0.000270901 seconds elapsed
 -- 0.000298314 seconds elapsed
 -- 0.000292175 seconds elapsed
 -- 0.000263944 seconds elapsed
 -- 0.000256751 seconds elapsed
 -- 0.000244703 seconds elapsed
 -- 0.000224681 seconds elapsed
 -- 0.000247261 seconds elapsed
 -- 0.000235213 seconds elapsed
 -- 0.000239938 seconds elapsed
 -- 0.000376923 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.