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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)
 -- .0102513s elapsed
 -- .0163931s elapsed
 -- .000359523s elapsed
 -- .000388764s elapsed
 -- .000368484s elapsed
 -- .000371804s elapsed
 -- .000351524s elapsed
 -- .000348044s elapsed
 -- .000415564s elapsed
 -- .000409524s elapsed
 -- .000414165s elapsed
 -- .000378844s elapsed
 -- .000372604s elapsed
 -- .000341164s elapsed
 -- .000301924s elapsed
 -- .000328764s elapsed
 -- .000353204s elapsed
 -- .000307363s elapsed
 -- .000333523s elapsed
 -- .000367524s elapsed
 -- .000389484s elapsed
 -- .000378724s elapsed
 -- .000329043s elapsed
 -- .000307403s elapsed
 -- .000319323s elapsed
 -- .000320843s elapsed
 -- .000349724s elapsed
 -- .000355364s 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.