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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)
 -- .007441s elapsed
 -- .00949785s elapsed
 -- .000224625s elapsed
 -- .000221948s elapsed
 -- .000146222s elapsed
 -- .000148027s elapsed
 -- .000131595s elapsed
 -- .000146763s elapsed
 -- .000169781s elapsed
 -- .000187042s elapsed
 -- .000156438s elapsed
 -- .000151485s elapsed
 -- .000231829s elapsed
 -- .000135246s elapsed
 -- .000111833s elapsed
 -- .000130024s elapsed
 -- .000119189s elapsed
 -- .000129476s elapsed
 -- .000123936s elapsed
 -- .000127927s elapsed
 -- .000154702s elapsed
 -- .000133841s elapsed
 -- .000131902s elapsed
 -- .0001219s elapsed
 -- .000119682s elapsed
 -- .000115059s elapsed
 -- .000106464s elapsed
 -- .000131657s 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.