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)
 -- 0.00724344 seconds elapsed
 -- 0.0169236 seconds elapsed
 -- 0.000181188 seconds elapsed
 -- 0.000146098 seconds elapsed
 -- 0.000130973 seconds elapsed
 -- 0.000149341 seconds elapsed
 -- 0.000141262 seconds elapsed
 -- 0.000138077 seconds elapsed
 -- 0.000148208 seconds elapsed
 -- 0.000293537 seconds elapsed
 -- 0.000160214 seconds elapsed
 -- 0.000149526 seconds elapsed
 -- 0.000136798 seconds elapsed
 -- 0.000142401 seconds elapsed
 -- 0.000147379 seconds elapsed
 -- 0.000140316 seconds elapsed
 -- 0.000193249 seconds elapsed
 -- 0.000139633 seconds elapsed
 -- 0.000155212 seconds elapsed
 -- 0.000165468 seconds elapsed
 -- 0.000183856 seconds elapsed
 -- 0.000138718 seconds elapsed
 -- 0.000141046 seconds elapsed
 -- 0.000262953 seconds elapsed
 -- 0.000137458 seconds elapsed
 -- 0.000135572 seconds elapsed
 -- 0.00014138 seconds elapsed
 -- 0.000144032 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.