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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)
 -- .00623808s elapsed
 -- .0127532s elapsed
(number Of blocks, 26)
 -- .000233253s elapsed
1
 -- .000145314s elapsed
1
 -- .000136922s elapsed
1
 -- .000148206s elapsed
1
 -- .000144376s elapsed
2
 -- .000150948s elapsed
 2
2
 -- .000159002s elapsed
 2
2
 -- .000171004s elapsed
 2
2 3
 -- .000153385s elapsed
 2
2 3
 -- .000134713s elapsed
 2
2 3
 -- .000132938s elapsed
 2
2
 -- .000128573s elapsed
 2
2
 -- .000124963s elapsed
2
 -- .000127184s elapsed
2
 -- .000130877s elapsed
 2
2
 -- .000136025s elapsed
 2
2
 -- .00013613s elapsed
 2
2 3
 -- .000164174s elapsed
 2
2 3
 -- .00014695s elapsed
 2
2 3
 -- .000139501s elapsed
 2
2
 -- .00013209s elapsed
 2
2
 -- .000124429s elapsed
2
 -- .000124203s elapsed
1
 -- .000187179s elapsed
1
 -- .000136672s elapsed
1
 -- .00012741s 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.