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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)
 -- .00698176s elapsed
 -- .0106761s elapsed
 -- .000142284s elapsed
 -- .000141714s elapsed
 -- .000139077s elapsed
 -- .000121383s elapsed
 -- .000117374s elapsed
 -- .000132268s elapsed
 -- .000148371s elapsed
 -- .000165296s elapsed
 -- .000137126s elapsed
 -- .0222907s elapsed
 -- .000112462s elapsed
 -- .000110915s elapsed
 -- .000106994s elapsed
 -- .00010519s elapsed
 -- .000111214s elapsed
 -- .0001086s elapsed
 -- .000116385s elapsed
 -- .000118704s elapsed
 -- .000123365s elapsed
 -- .000123987s elapsed
 -- .000114686s elapsed
 -- .000114338s elapsed
 -- .000106618s elapsed
 -- .000118924s elapsed
 -- .000140621s elapsed
 -- .000121461s 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.