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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)
 -- .00661732s elapsed
 -- .0113879s elapsed
(number Of blocks, 26)
 -- .000194602s elapsed
1
 -- .000114326s elapsed
1
 -- .000118164s elapsed
1
 -- .000111255s elapsed
1
 -- .00011243s elapsed
2
 -- .000122649s elapsed
 2
2
 -- .00012749s elapsed
 2
2
 -- .000139307s elapsed
 2
2 3
 -- .00012368s elapsed
 2
2 3
 -- .000114803s elapsed
 2
2 3
 -- .000114084s elapsed
 2
2
 -- .000112754s elapsed
 2
2
 -- .000114197s elapsed
2
 -- .000108096s elapsed
2
 -- .000111834s elapsed
 2
2
 -- .00010874s elapsed
 2
2
 -- .00012524s elapsed
 2
2 3
 -- .00013834s elapsed
 2
2 3
 -- .000133745s elapsed
 2
2 3
 -- .000126583s elapsed
 2
2
 -- .000119708s elapsed
 2
2
 -- .000110817s elapsed
2
 -- .000106388s elapsed
1
 -- .000106967s elapsed
1
 -- .000112491s elapsed
1
 -- .000109227s 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.