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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)
 -- .00962885s elapsed
 -- .0139853s elapsed
 -- .000308283s elapsed
 -- .000278242s elapsed
 -- .000222122s elapsed
 -- .000212962s elapsed
 -- .000221202s elapsed
 -- .000236442s elapsed
 -- .000266082s elapsed
 -- .000230242s elapsed
 -- .000236843s elapsed
 -- .000224442s elapsed
 -- .000318682s elapsed
 -- .000255922s elapsed
 -- .000212402s elapsed
 -- .000197002s elapsed
 -- .000205962s elapsed
 -- .000192162s elapsed
 -- .000206242s elapsed
 -- .000208482s elapsed
 -- .000257962s elapsed
 -- .000214602s elapsed
 -- .000214002s elapsed
 -- .000197402s elapsed
 -- .000195922s elapsed
 -- .000201162s elapsed
 -- .000196761s elapsed
 -- .000196681s 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.