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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)
 -- .00850907s elapsed
 -- .0170902s elapsed
(number Of blocks, 26)
 -- .000263238s elapsed
1
 -- .000166802s elapsed
1
 -- .000157718s elapsed
1
 -- .00015896s elapsed
1
 -- .000147323s elapsed
2
 -- .000175014s elapsed
 2
2
 -- .000191289s elapsed
 2
2
 -- .00018588s elapsed
 2
2 3
 -- .000170938s elapsed
 2
2 3
 -- .000164137s elapsed
 2
2 3
 -- .000159841s elapsed
 2
2
 -- .000159771s elapsed
 2
2
 -- .000153552s elapsed
2
 -- .000169677s elapsed
2
 -- .000154453s elapsed
 2
2
 -- .000152891s elapsed
 2
2
 -- .000170116s elapsed
 2
2 3
 -- .00017255s elapsed
 2
2 3
 -- .000175615s elapsed
 2
2 3
 -- .000166441s elapsed
 2
2
 -- .000168234s elapsed
 2
2
 -- .000154663s elapsed
2
 -- .00016574s elapsed
1
 -- .000163587s elapsed
1
 -- .000153382s elapsed
1
 -- .000161744s 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.