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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)
 -- .00638754s elapsed
 -- .0117962s elapsed
(number Of blocks, 26)
 -- .000208604s elapsed
1
 -- .000139002s elapsed
1
 -- .000131162s elapsed
1
 -- .000152791s elapsed
1
 -- .000126521s elapsed
2
 -- .000141882s elapsed
 2
2
 -- .000149262s elapsed
 2
2
 -- .000159133s elapsed
 2
2 3
 -- .000145231s elapsed
 2
2 3
 -- .000138772s elapsed
 2
2 3
 -- .000152782s elapsed
 2
2
 -- .000132973s elapsed
 2
2
 -- .000138901s elapsed
2
 -- .000129482s elapsed
2
 -- .000151741s elapsed
 2
2
 -- .000129601s elapsed
 2
2
 -- .000134761s elapsed
 2
2 3
 -- .000136641s elapsed
 2
2 3
 -- .000187852s elapsed
 2
2 3
 -- .000159733s elapsed
 2
2
 -- .000140572s elapsed
 2
2
 -- .000123273s elapsed
2
 -- .000124681s elapsed
1
 -- .000133431s elapsed
1
 -- .000150962s elapsed
1
 -- .000130161s 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 /build/macaulay2-zC4yk9/macaulay2-1.26.06+ds/M2/Macaulay2/packages/K3Carpets.m2:1335:0.