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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)
 -- .0080234s elapsed
 -- .0126397s elapsed
(number Of blocks, 26)
 -- .000335722s elapsed
1
 -- .000144552s elapsed
1
 -- .000147147s elapsed
1
 -- .000140384s elapsed
1
 -- .000139983s elapsed
2
 -- .00015416s elapsed
 2
2
 -- .000159991s elapsed
 2
2
 -- .00016436s elapsed
 2
2 3
 -- .000158448s elapsed
 2
2 3
 -- .000128692s elapsed
 2
2 3
 -- .000137118s elapsed
 2
2
 -- .000128592s elapsed
 2
2
 -- .000126307s elapsed
2
 -- .000120867s elapsed
2
 -- .000128753s elapsed
 2
2
 -- .00011721s elapsed
 2
2
 -- .000135625s elapsed
 2
2 3
 -- .000125576s elapsed
 2
2 3
 -- .00013302s elapsed
 2
2 3
 -- .000132539s elapsed
 2
2
 -- .000122461s elapsed
 2
2
 -- .000120527s elapsed
2
 -- .00011708s elapsed
1
 -- .000118904s elapsed
1
 -- .000118142s elapsed
1
 -- .000118502s 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.