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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)
 -- .00960769s elapsed
 -- .0148897s elapsed
 -- .000322564s elapsed
 -- .000349605s elapsed
 -- .000330804s elapsed
 -- .000287764s elapsed
 -- .000295004s elapsed
 -- .000295524s elapsed
 -- .000326085s elapsed
 -- .000330004s elapsed
 -- .000320724s elapsed
 -- .000316724s elapsed
 -- .000344805s elapsed
 -- .000267804s elapsed
 -- .000257683s elapsed
 -- .000258843s elapsed
 -- .000278004s elapsed
 -- .000256124s elapsed
 -- .000275483s elapsed
 -- .000292563s elapsed
 -- .000289244s elapsed
 -- .000304164s elapsed
 -- .000297324s elapsed
 -- .000259283s elapsed
 -- .000320245s elapsed
 -- .000304484s elapsed
 -- .000256923s elapsed
 -- .000280084s 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.