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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)
 -- .00604106s elapsed
 -- .0109322s elapsed
(number Of blocks, 26)
 -- .000167805s elapsed
1
 -- .000134811s elapsed
1
 -- .000134188s elapsed
1
 -- .000139719s elapsed
1
 -- .000126663s elapsed
2
 -- .000130569s elapsed
 2
2
 -- .0265373s elapsed
 2
2
 -- .000138851s elapsed
 2
2 3
 -- .000122401s elapsed
 2
2 3
 -- .000118828s elapsed
 2
2 3
 -- .00011651s elapsed
 2
2
 -- .000179827s elapsed
 2
2
 -- .000154306s elapsed
2
 -- .000154934s elapsed
2
 -- .000160669s elapsed
 2
2
 -- .000153641s elapsed
 2
2
 -- .00016644s elapsed
 2
2 3
 -- .00016349s elapsed
 2
2 3
 -- .000197244s elapsed
 2
2 3
 -- .000173921s elapsed
 2
2
 -- .000176527s elapsed
 2
2
 -- .000168381s elapsed
2
 -- .000173897s elapsed
1
 -- .000167628s elapsed
1
 -- .000163261s elapsed
1
 -- .000166536s elapsed
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.