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carpetDet -- compute the determinant of the crucial constant strand of a carpet X(a,b)

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)
 -- .00789444s elapsed
 -- .0120986s elapsed
 -- .000210845s elapsed
 -- .000150672s elapsed
 -- .000125569s elapsed
 -- .000125947s elapsed
 -- .000149498s elapsed
 -- .000129097s elapsed
 -- .000155623s elapsed
 -- .000153163s elapsed
 -- .000143206s elapsed
 -- .0232919s elapsed
 -- .000112454s elapsed
 -- .000139873s elapsed
 -- .000151973s elapsed
 -- .000110284s elapsed
 -- .000115992s elapsed
 -- .000113965s elapsed
 -- .000117446s elapsed
 -- .000119395s elapsed
 -- .000129003s elapsed
 -- .000125486s elapsed
 -- .000115937s elapsed
 -- .00013677s elapsed
 -- .000120451s elapsed
 -- .0001202s elapsed
 -- .000120564s elapsed
 -- .000114666s 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:

  • carpetDet(ZZ,ZZ)

For the programmer

The object carpetDet is a method function.


The source of this document is in K3Carpets.m2:1335:0.