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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)
 -- .00920823s elapsed
 -- .0163816s elapsed
(number Of blocks, 26)
 -- .000284814s elapsed
1
 -- .000222216s elapsed
1
 -- .000185427s elapsed
1
 -- .000180017s elapsed
1
 -- .000182201s elapsed
2
 -- .000225853s elapsed
 2
2
 -- .041865s elapsed
 2
2
 -- .000273142s elapsed
 2
2 3
 -- .000191369s elapsed
 2
2 3
 -- .000171702s elapsed
 2
2 3
 -- .000162464s elapsed
 2
2
 -- .000181481s elapsed
 2
2
 -- .000173866s elapsed
2
 -- .000172392s elapsed
2
 -- .000220352s elapsed
 2
2
 -- .000204113s elapsed
 2
2
 -- .000192431s elapsed
 2
2 3
 -- .00028831s elapsed
 2
2 3
 -- .000259035s elapsed
 2
2 3
 -- .00020781s elapsed
 2
2
 -- .000183484s elapsed
 2
2
 -- .000173454s elapsed
2
 -- .000155582s elapsed
1
 -- .000166121s elapsed
1
 -- .000152676s elapsed
1
 -- .000160871s 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.