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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)
 -- .00583913s elapsed
 -- .00877894s elapsed
(number Of blocks, 26)
 -- .000172733s elapsed
1
 -- .00013458s elapsed
1
 -- .000150557s elapsed
1
 -- .00012522s elapsed
1
 -- .000117635s elapsed
2
 -- .000125579s elapsed
 2
2
 -- .000135084s elapsed
 2
2
 -- .000135268s elapsed
 2
2 3
 -- .000131348s elapsed
 2
2 3
 -- .00013514s elapsed
 2
2 3
 -- .000123956s elapsed
 2
2
 -- .000123771s elapsed
 2
2
 -- .000142124s elapsed
2
 -- .000117571s elapsed
2
 -- .000125252s elapsed
 2
2
 -- .000115707s elapsed
 2
2
 -- .000128668s elapsed
 2
2 3
 -- .000131396s elapsed
 2
2 3
 -- .0001403s elapsed
 2
2 3
 -- .000132515s elapsed
 2
2
 -- .000126387s elapsed
 2
2
 -- .000117075s elapsed
2
 -- .000116196s elapsed
1
 -- .000119299s elapsed
1
 -- .000122364s elapsed
1
 -- .000117171s 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.