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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)
 -- .00851237s elapsed
 -- .0145039s elapsed
(number Of blocks, 26)
 -- .000252554s elapsed
1
 -- .000168299s elapsed
1
 -- .000152656s elapsed
1
 -- .000169962s elapsed
1
 -- .000170472s elapsed
2
 -- .000160187s elapsed
 2
2
 -- .040235s elapsed
 2
2
 -- .000219715s elapsed
 2
2 3
 -- .000166126s elapsed
 2
2 3
 -- .00015552s elapsed
 2
2 3
 -- .000147438s elapsed
 2
2
 -- .000158555s elapsed
 2
2
 -- .000158064s elapsed
2
 -- .000164854s elapsed
2
 -- .000156672s elapsed
 2
2
 -- .000159185s elapsed
 2
2
 -- .000204854s elapsed
 2
2 3
 -- .000181569s elapsed
 2
2 3
 -- .000201698s elapsed
 2
2 3
 -- .000197953s elapsed
 2
2
 -- .000170853s elapsed
 2
2
 -- .000165284s elapsed
2
 -- .000139046s elapsed
1
 -- .000149311s elapsed
1
 -- .000139457s elapsed
1
 -- .000157303s 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.