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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)
 -- .00560271s elapsed
 -- .00808754s elapsed
(number Of blocks, 26)
 -- .000217313s elapsed
1
 -- .000114631s elapsed
1
 -- .00009293s elapsed
1
 -- .000086161s elapsed
1
 -- .000083782s elapsed
2
 -- .000093931s elapsed
 2
2
 -- .000099541s elapsed
 2
2
 -- .000103242s elapsed
 2
2 3
 -- .000103842s elapsed
 2
2 3
 -- .000095322s elapsed
 2
2 3
 -- .000088081s elapsed
 2
2
 -- .000087662s elapsed
 2
2
 -- .000082291s elapsed
2
 -- .00008382s elapsed
2
 -- .0000865s elapsed
 2
2
 -- .000082721s elapsed
 2
2
 -- .000091121s elapsed
 2
2 3
 -- .000116141s elapsed
 2
2 3
 -- .000117241s elapsed
 2
2 3
 -- .000105081s elapsed
 2
2
 -- .0001014s elapsed
 2
2
 -- .000083211s elapsed
2
 -- .000083301s elapsed
1
 -- .00008795s elapsed
1
 -- .00008526s elapsed
1
 -- .000083871s 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.