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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)
 -- .00657925s elapsed
 -- .00781445s elapsed
(number Of blocks, 26)
 -- .000183141s elapsed
1
 -- .00010259s elapsed
1
 -- .00008609s elapsed
1
 -- .000092231s elapsed
1
 -- .00008902s elapsed
2
 -- .000095561s elapsed
 2
2
 -- .000098821s elapsed
 2
2
 -- .000117452s elapsed
 2
2 3
 -- .000103972s elapsed
 2
2 3
 -- .00008847s elapsed
 2
2 3
 -- .000091662s elapsed
 2
2
 -- .000091602s elapsed
 2
2
 -- .000082971s elapsed
2
 -- .00008325s elapsed
2
 -- .000091201s elapsed
 2
2
 -- .00008159s elapsed
 2
2
 -- .00008965s elapsed
 2
2 3
 -- .00010255s elapsed
 2
2 3
 -- .000140061s elapsed
 2
2 3
 -- .000097672s elapsed
 2
2
 -- .000094651s elapsed
 2
2
 -- .000086551s elapsed
2
 -- .000099021s elapsed
1
 -- .000087961s elapsed
1
 -- .000090871s elapsed
1
 -- .000089081s 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.