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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)
 -- .00574593s elapsed
 -- .00988883s elapsed
(number Of blocks, 26)
 -- .000193748s elapsed
1
 -- .000175278s elapsed
1
 -- .000191252s elapsed
1
 -- .00524256s elapsed
1
 -- .000147031s elapsed
2
 -- .000155983s elapsed
 2
2
 -- .000165782s elapsed
 2
2
 -- .000193244s elapsed
 2
2 3
 -- .000152775s elapsed
 2
2 3
 -- .000148975s elapsed
 2
2 3
 -- .00020926s elapsed
 2
2
 -- .00014008s elapsed
 2
2
 -- .00013316s elapsed
2
 -- .00013276s elapsed
2
 -- .000141895s elapsed
 2
2
 -- .000137792s elapsed
 2
2
 -- .000150095s elapsed
 2
2 3
 -- .000173038s elapsed
 2
2 3
 -- .000156191s elapsed
 2
2 3
 -- .000156407s elapsed
 2
2
 -- .000165286s elapsed
 2
2
 -- .000136368s elapsed
2
 -- .000137664s elapsed
1
 -- .000139351s elapsed
1
 -- .000138648s elapsed
1
 -- .000141632s 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.