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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)
 -- .00730341s elapsed
 -- .00899161s elapsed
 -- .000197526s elapsed
 -- .000183949s elapsed
 -- .000136728s elapsed
 -- .00013275s elapsed
 -- .000143457s elapsed
 -- .000136117s elapsed
 -- .000171327s elapsed
 -- .000153932s elapsed
 -- .000170482s elapsed
 -- .000135029s elapsed
 -- .000227575s elapsed
 -- .000126753s elapsed
 -- .000113131s elapsed
 -- .000109157s elapsed
 -- .000112496s elapsed
 -- .000119927s elapsed
 -- .000128917s elapsed
 -- .000123455s elapsed
 -- .000136691s elapsed
 -- .000143998s elapsed
 -- .000133591s elapsed
 -- .00011849s elapsed
 -- .000128952s elapsed
 -- .000112383s elapsed
 -- .000110372s elapsed
 -- .000106179s 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.