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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)
 -- .0144548s elapsed
 -- .0152799s elapsed
 -- .000270985s elapsed
 -- .000248624s elapsed
 -- .00022134s elapsed
 -- .00023131s elapsed
 -- .000216614s elapsed
 -- .00024576s elapsed
 -- .000238254s elapsed
 -- .000270228s elapsed
 -- .000242353s elapsed
 -- .000232921s elapsed
 -- .000258962s elapsed
 -- .000207215s elapsed
 -- .000194514s elapsed
 -- .000194377s elapsed
 -- .000219434s elapsed
 -- .000206033s elapsed
 -- .000223963s elapsed
 -- .000221811s elapsed
 -- .000255371s elapsed
 -- .000214133s elapsed
 -- .000220404s elapsed
 -- .000214989s elapsed
 -- .000201287s elapsed
 -- .000203252s elapsed
 -- .00020827s elapsed
 -- .000197476s 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.