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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)
 -- .00775737s elapsed
 -- .0122906s elapsed
(number Of blocks, 26)
 -- .000225882s elapsed
1
 -- .000164841s elapsed
1
 -- .000165641s elapsed
1
 -- .000157161s elapsed
1
 -- .000160281s elapsed
2
 -- .000184161s elapsed
 2
2
 -- .000179321s elapsed
 2
2
 -- .000182001s elapsed
 2
2 3
 -- .000172841s elapsed
 2
2 3
 -- .000173561s elapsed
 2
2 3
 -- .000165641s elapsed
 2
2
 -- .000165321s elapsed
 2
2
 -- .000159161s elapsed
2
 -- .000164881s elapsed
2
 -- .000180761s elapsed
 2
2
 -- .000154681s elapsed
 2
2
 -- .000169522s elapsed
 2
2 3
 -- .000173481s elapsed
 2
2 3
 -- .000186521s elapsed
 2
2 3
 -- .000195001s elapsed
 2
2
 -- .000164361s elapsed
 2
2
 -- .000162681s elapsed
2
 -- .000161041s elapsed
1
 -- .000179081s elapsed
1
 -- .000158561s elapsed
1
 -- .000155281s 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.