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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)
 -- .00672987s elapsed
 -- .00794091s elapsed
 -- .000164742s elapsed
 -- .000134652s elapsed
 -- .000126728s elapsed
 -- .000116024s elapsed
 -- .000126233s elapsed
 -- .000118835s elapsed
 -- .000153753s elapsed
 -- .000154492s elapsed
 -- .000123315s elapsed
 -- .000136476s elapsed
 -- .000209475s elapsed
 -- .000110125s elapsed
 -- .00010228s elapsed
 -- .000097402s elapsed
 -- .000107273s elapsed
 -- .000100996s elapsed
 -- .00010761s elapsed
 -- .000150427s elapsed
 -- .000120838s elapsed
 -- .000123164s elapsed
 -- .000108503s elapsed
 -- .000101428s elapsed
 -- .00009377s elapsed
 -- .000101776s elapsed
 -- .000134097s elapsed
 -- .000099556s 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.