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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)
 -- .00560259s elapsed
 -- .0109842s elapsed
(number Of blocks, 26)
 -- .000190694s elapsed
1
 -- .000140317s elapsed
1
 -- .000137565s elapsed
1
 -- .000133557s elapsed
1
 -- .000133629s elapsed
2
 -- .000165886s elapsed
 2
2
 -- .000155509s elapsed
 2
2
 -- .000165877s elapsed
 2
2 3
 -- .000130204s elapsed
 2
2 3
 -- .000131957s elapsed
 2
2 3
 -- .00012138s elapsed
 2
2
 -- .000141973s elapsed
 2
2
 -- .00012074s elapsed
2
 -- .000119212s elapsed
2
 -- .000124484s elapsed
 2
2
 -- .000116524s elapsed
 2
2
 -- .000132916s elapsed
 2
2 3
 -- .000153029s elapsed
 2
2 3
 -- .000135541s elapsed
 2
2 3
 -- .000153621s elapsed
 2
2
 -- .000132973s elapsed
 2
2
 -- .00012178s elapsed
2
 -- .000119532s elapsed
1
 -- .000128749s elapsed
1
 -- .000127973s elapsed
1
 -- .000120332s 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.