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)
 -- 0.00838703 seconds elapsed
 -- 0.0135233 seconds elapsed
 -- 0.000266472 seconds elapsed
 -- 0.000189685 seconds elapsed
 -- 0.000147251 seconds elapsed
 -- 0.000148693 seconds elapsed
 -- 0.000133356 seconds elapsed
 -- 0.000161869 seconds elapsed
 -- 0.00016447 seconds elapsed
 -- 0.00018591 seconds elapsed
 -- 0.000145933 seconds elapsed
 -- 0.000164817 seconds elapsed
 -- 0.000136557 seconds elapsed
 -- 0.000155348 seconds elapsed
 -- 0.000134528 seconds elapsed
 -- 0.000127136 seconds elapsed
 -- 0.000144607 seconds elapsed
 -- 0.000167458 seconds elapsed
 -- 0.000183347 seconds elapsed
 -- 0.000186312 seconds elapsed
 -- 0.000175617 seconds elapsed
 -- 0.00016643 seconds elapsed
 -- 0.000142508 seconds elapsed
 -- 0.000142598 seconds elapsed
 -- 0.000134094 seconds elapsed
 -- 0.0001374 seconds elapsed
 -- 0.00015007 seconds elapsed
 -- 0.000131178 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.