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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)
 -- .0109109s elapsed
 -- .0125813s elapsed
(number Of blocks, 26)
 -- .000393602s elapsed
1
 -- .00015892s elapsed
1
 -- .000177133s elapsed
1
 -- .000164109s elapsed
1
 -- .000185129s elapsed
2
 -- .000162987s elapsed
 2
2
 -- .000225856s elapsed
 2
2
 -- .000152858s elapsed
 2
2 3
 -- .000180771s elapsed
 2
2 3
 -- .000135155s elapsed
 2
2 3
 -- .000133612s elapsed
 2
2
 -- .000147077s elapsed
 2
2
 -- .000129033s elapsed
2
 -- .000128903s elapsed
2
 -- .000135997s elapsed
 2
2
 -- .000134253s elapsed
 2
2
 -- .000147878s elapsed
 2
2 3
 -- .000140404s elapsed
 2
2 3
 -- .00015922s elapsed
 2
2 3
 -- .000163278s elapsed
 2
2
 -- .000141838s elapsed
 2
2
 -- .00014877s elapsed
2
 -- .000136978s elapsed
1
 -- .000136738s elapsed
1
 -- .000133952s elapsed
1
 -- .000139092s 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.