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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)
 -- .0074275s elapsed
 -- .0151211s elapsed
(number Of blocks, 26)
 -- .000290764s elapsed
1
 -- .000296524s elapsed
1
 -- .000269123s elapsed
1
 -- .000302844s elapsed
1
 -- .000254803s elapsed
2
 -- .000285363s elapsed
 2
2
 -- .000282044s elapsed
 2
2
 -- .000288884s elapsed
 2
2 3
 -- .000290844s elapsed
 2
2 3
 -- .000341644s elapsed
 2
2 3
 -- .000257243s elapsed
 2
2
 -- .000278564s elapsed
 2
2
 -- .000289524s elapsed
2
 -- .000239763s elapsed
2
 -- .000248363s elapsed
 2
2
 -- .000244764s elapsed
 2
2
 -- .000292564s elapsed
 2
2 3
 -- .000261683s elapsed
 2
2 3
 -- .000280603s elapsed
 2
2 3
 -- .000269403s elapsed
 2
2
 -- .000266684s elapsed
 2
2
 -- .000270003s elapsed
2
 -- .000263524s elapsed
1
 -- .000257963s elapsed
1
 -- .000259244s elapsed
1
 -- .000248084s 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.