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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)
 -- .00662517s elapsed
 -- .0080138s elapsed
 -- .000146569s elapsed
 -- .000135928s elapsed
 -- .000121299s elapsed
 -- .00010834s elapsed
 -- .000124762s elapsed
 -- .000116795s elapsed
 -- .000140609s elapsed
 -- .000147436s elapsed
 -- .000125206s elapsed
 -- .000116123s elapsed
 -- .00017164s elapsed
 -- .000144065s elapsed
 -- .000118761s elapsed
 -- .000104517s elapsed
 -- .000106187s elapsed
 -- .000094978s elapsed
 -- .000122741s elapsed
 -- .000110022s elapsed
 -- .00013421s elapsed
 -- .000131005s elapsed
 -- .000112448s elapsed
 -- .00010274s elapsed
 -- .000099709s elapsed
 -- .000105303s elapsed
 -- .000100695s elapsed
 -- .000120564s 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.