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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)
 -- .0120706s elapsed
 -- .0124861s elapsed
 -- .000246162s elapsed
 -- .000204561s elapsed
 -- .000199961s elapsed
 -- .000194082s elapsed
 -- .000189121s elapsed
 -- .000197601s elapsed
 -- .000222121s elapsed
 -- .000213681s elapsed
 -- .000205761s elapsed
 -- .000211441s elapsed
 -- .000224481s elapsed
 -- .0001712s elapsed
 -- .000163241s elapsed
 -- .000160121s elapsed
 -- .000170321s elapsed
 -- .000162601s elapsed
 -- .000174961s elapsed
 -- .000177441s elapsed
 -- .000184641s elapsed
 -- .000185001s elapsed
 -- .000170961s elapsed
 -- .000190002s elapsed
 -- .000162481s elapsed
 -- .000172121s elapsed
 -- .000170121s elapsed
 -- .000167801s elapsed
(number Of blocks, 26)
1
1
1
1
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
1
1
1
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.