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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)
 -- .00566216s elapsed
 -- .0081688s elapsed
(number Of blocks, 26)
 -- .000201391s elapsed
1
 -- .000122541s elapsed
1
 -- .000113861s elapsed
1
 -- .00010997s elapsed
1
 -- .000114721s elapsed
2
 -- .000113322s elapsed
 2
2
 -- .0123713s elapsed
 2
2
 -- .00012075s elapsed
 2
2 3
 -- .000107341s elapsed
 2
2 3
 -- .00011674s elapsed
 2
2 3
 -- .00010133s elapsed
 2
2
 -- .000098961s elapsed
 2
2
 -- .00010057s elapsed
2
 -- .00009179s elapsed
2
 -- .000102221s elapsed
 2
2
 -- .000099181s elapsed
 2
2
 -- .00012228s elapsed
 2
2 3
 -- .000105201s elapsed
 2
2 3
 -- .000157881s elapsed
 2
2 3
 -- .000122511s elapsed
 2
2
 -- .000106561s elapsed
 2
2
 -- .000097591s elapsed
2
 -- .000098311s elapsed
1
 -- .00009225s elapsed
1
 -- .000093281s elapsed
1
 -- .000092971s 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.