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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)
 -- .00766156s elapsed
 -- .0142458s elapsed
(number Of blocks, 26)
 -- .000326163s elapsed
1
 -- .000261843s elapsed
1
 -- .000226682s elapsed
1
 -- .000217202s elapsed
1
 -- .000207722s elapsed
2
 -- .000220803s elapsed
 2
2
 -- .000261403s elapsed
 2
2
 -- .000232882s elapsed
 2
2 3
 -- .000220722s elapsed
 2
2 3
 -- .000213242s elapsed
 2
2 3
 -- .000198882s elapsed
 2
2
 -- .000198882s elapsed
 2
2
 -- .000188042s elapsed
2
 -- .000189002s elapsed
2
 -- .000201082s elapsed
 2
2
 -- .000200682s elapsed
 2
2
 -- .000209642s elapsed
 2
2 3
 -- .000208723s elapsed
 2
2 3
 -- .000212003s elapsed
 2
2 3
 -- .000255682s elapsed
 2
2
 -- .000206642s elapsed
 2
2
 -- .000204282s elapsed
2
 -- .000183802s elapsed
1
 -- .000196802s elapsed
1
 -- .000197122s elapsed
1
 -- .000189322s 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.