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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)
 -- .00899469s elapsed
 -- .0384124s elapsed
(number Of blocks, 26)
 -- .000254508s elapsed
1
 -- .000178796s elapsed
1
 -- .000172212s elapsed
1
 -- .000170529s elapsed
1
 -- .000165821s elapsed
2
 -- .000173314s elapsed
 2
2
 -- .000193913s elapsed
 2
2
 -- .00019722s elapsed
 2
2 3
 -- .000210735s elapsed
 2
2 3
 -- .000181069s elapsed
 2
2 3
 -- .000171662s elapsed
 2
2
 -- .000174687s elapsed
 2
2
 -- .000169057s elapsed
2
 -- .000167154s elapsed
2
 -- .000177954s elapsed
 2
2
 -- .000173104s elapsed
 2
2
 -- .000182041s elapsed
 2
2 3
 -- .000185969s elapsed
 2
2 3
 -- .000203983s elapsed
 2
2 3
 -- .000183074s elapsed
 2
2
 -- .000200686s elapsed
 2
2
 -- .00019189s elapsed
2
 -- .000188704s elapsed
1
 -- .000194855s elapsed
1
 -- .000193703s elapsed
1
 -- .00016557s 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.