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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)
 -- .00953766s elapsed
 -- .0145039s elapsed
 -- .000297244s elapsed
 -- .000311124s elapsed
 -- .000288164s elapsed
 -- .000241323s elapsed
 -- .000255764s elapsed
 -- .000271564s elapsed
 -- .000292564s elapsed
 -- .000280764s elapsed
 -- .000288084s elapsed
 -- .000249284s elapsed
 -- .000285804s elapsed
 -- .000265284s elapsed
 -- .000216083s elapsed
 -- .000210123s elapsed
 -- .000215323s elapsed
 -- .000217123s elapsed
 -- .000266724s elapsed
 -- .000226764s elapsed
 -- .000244044s elapsed
 -- .000280044s elapsed
 -- .000232483s elapsed
 -- .000204402s elapsed
 -- .000214803s elapsed
 -- .000242883s elapsed
 -- .000214163s elapsed
 -- .000203083s 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.