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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)
 -- .0150259s elapsed
 -- .015857s elapsed
 -- .000286151s elapsed
 -- .000232072s elapsed
 -- .000226265s elapsed
 -- .000222515s elapsed
 -- .000217848s elapsed
 -- .000231361s elapsed
 -- .000247999s elapsed
 -- .000280133s elapsed
 -- .000256579s elapsed
 -- .000229946s elapsed
 -- .000266679s elapsed
 -- .000206054s elapsed
 -- .000196187s elapsed
 -- .000201412s elapsed
 -- .000198888s elapsed
 -- .000192889s elapsed
 -- .000208744s elapsed
 -- .000217305s elapsed
 -- .000232768s elapsed
 -- .000247773s elapsed
 -- .000216593s elapsed
 -- .000205052s elapsed
 -- .000194839s elapsed
 -- .000202531s elapsed
 -- .000220033s elapsed
 -- .00020104s 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.