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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)
 -- .00999174s elapsed
 -- .0148238s elapsed
 -- .000329324s elapsed
 -- .000317444s elapsed
 -- .000295204s elapsed
 -- .000261843s elapsed
 -- .000290083s elapsed
 -- .000357684s elapsed
 -- .000341443s elapsed
 -- .000343363s elapsed
 -- .000310123s elapsed
 -- .000301283s elapsed
 -- .000321803s elapsed
 -- .000269562s elapsed
 -- .000235802s elapsed
 -- .000264043s elapsed
 -- .000258563s elapsed
 -- .000307764s elapsed
 -- .000250283s elapsed
 -- .000287523s elapsed
 -- .000252163s elapsed
 -- .000279043s elapsed
 -- .000226362s elapsed
 -- .000207642s elapsed
 -- .000231763s elapsed
 -- .000218602s elapsed
 -- .000233242s elapsed
 -- .000240442s 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.