Macaulay2 » Documentation
Packages » K3Carpets :: carpetDet
next | previous | forward | backward | up | index | toc

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)
 -- 0.00575805 seconds elapsed
 -- 0.0453355 seconds elapsed
 -- 0.000204222 seconds elapsed
 -- 0.000131201 seconds elapsed
 -- 0.000129151 seconds elapsed
 -- 0.000120531 seconds elapsed
 -- 0.000168072 seconds elapsed
 -- 0.000164301 seconds elapsed
 -- 0.000147821 seconds elapsed
 -- 0.000168573 seconds elapsed
 -- 0.00018293 seconds elapsed
 -- 0.000137331 seconds elapsed
 -- 0.000128052 seconds elapsed
 -- 0.000133321 seconds elapsed
 -- 0.000193332 seconds elapsed
 -- 0.000163401 seconds elapsed
 -- 0.000133092 seconds elapsed
 -- 0.000131931 seconds elapsed
 -- 0.000168212 seconds elapsed
 -- 0.00016671 seconds elapsed
 -- 0.000155382 seconds elapsed
 -- 0.000139841 seconds elapsed
 -- 0.000131862 seconds elapsed
 -- 0.000126821 seconds elapsed
 -- 0.000119671 seconds elapsed
 -- 0.000128221 seconds elapsed
 -- 0.000126452 seconds elapsed
 -- 0.000118351 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.