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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)
 -- .00857198s elapsed
 -- .016671s elapsed
(number Of blocks, 26)
 -- .000313183s elapsed
1
 -- .000212606s elapsed
1
 -- .000207787s elapsed
1
 -- .000207797s elapsed
1
 -- .000192719s elapsed
2
 -- .000216213s elapsed
 2
2
 -- .0347318s elapsed
 2
2
 -- .000280572s elapsed
 2
2 3
 -- .000249084s elapsed
 2
2 3
 -- .000394183s elapsed
 2
2 3
 -- .000220511s elapsed
 2
2
 -- .00201299s elapsed
 2
2
 -- .000160979s elapsed
2
 -- .000158926s elapsed
2
 -- .000161681s elapsed
 2
2
 -- .000156622s elapsed
 2
2
 -- .000188992s elapsed
 2
2 3
 -- .00022005s elapsed
 2
2 3
 -- .000210772s elapsed
 2
2 3
 -- .000199522s elapsed
 2
2
 -- .000206795s elapsed
 2
2
 -- .000179424s elapsed
2
 -- .000179233s elapsed
1
 -- .000179524s elapsed
1
 -- .000185475s elapsed
1
 -- .00017726s 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.