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)
 -- 0.0220382 seconds elapsed
 -- 0.0117068 seconds elapsed
 -- 0.000162721 seconds elapsed
 -- 0.00011086 seconds elapsed
 -- 0.00010644 seconds elapsed
 -- 0.000108421 seconds elapsed
 -- 0.000131211 seconds elapsed
 -- 0.000112462 seconds elapsed
 -- 0.000122081 seconds elapsed
 -- 0.000159241 seconds elapsed
 -- 0.00012115 seconds elapsed
 -- 0.00011529 seconds elapsed
 -- 0.000113071 seconds elapsed
 -- 0.0001103 seconds elapsed
 -- 0.000108871 seconds elapsed
 -- 0.000102141 seconds elapsed
 -- 0.00011427 seconds elapsed
 -- 0.000151181 seconds elapsed
 -- 0.00011604 seconds elapsed
 -- 0.000116392 seconds elapsed
 -- 0.00012255 seconds elapsed
 -- 0.000120161 seconds elapsed
 -- 0.00011169 seconds elapsed
 -- 0.0001003 seconds elapsed
 -- 0.00010219 seconds elapsed
 -- 0.000106072 seconds elapsed
 -- 0.000103991 seconds elapsed
 -- 0.000106102 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.