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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)
 -- .00836471s elapsed
 -- .015541s elapsed
(number Of blocks, 26)
 -- .000266603s elapsed
1
 -- .000244883s elapsed
1
 -- .000235043s elapsed
1
 -- .000283724s elapsed
1
 -- .000246323s elapsed
2
 -- .000210963s elapsed
 2
2
 -- .000339604s elapsed
 2
2
 -- .000233203s elapsed
 2
2 3
 -- .000226883s elapsed
 2
2 3
 -- .000200962s elapsed
 2
2 3
 -- .000206362s elapsed
 2
2
 -- .000226002s elapsed
 2
2
 -- .000201043s elapsed
2
 -- .000229923s elapsed
2
 -- .000217323s elapsed
 2
2
 -- .000232603s elapsed
 2
2
 -- .000211203s elapsed
 2
2 3
 -- .000205642s elapsed
 2
2 3
 -- .000227283s elapsed
 2
2 3
 -- .000215563s elapsed
 2
2
 -- .000205483s elapsed
 2
2
 -- .000216802s elapsed
2
 -- .000231962s elapsed
1
 -- .000207683s elapsed
1
 -- .000199682s elapsed
1
 -- .000200643s elapsed
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.