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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)
 -- .00476677s elapsed
 -- .00772314s elapsed
(number Of blocks, 26)
 -- .000157261s elapsed
1
 -- .000104862s elapsed
1
 -- .00009742s elapsed
1
 -- .000092751s elapsed
1
 -- .000088121s elapsed
2
 -- .000103941s elapsed
 2
2
 -- .000103911s elapsed
 2
2
 -- .000129472s elapsed
 2
2 3
 -- .000107842s elapsed
 2
2 3
 -- .000104971s elapsed
 2
2 3
 -- .000087261s elapsed
 2
2
 -- .00008719s elapsed
 2
2
 -- .00008611s elapsed
2
 -- .000084671s elapsed
2
 -- .000091471s elapsed
 2
2
 -- .000087541s elapsed
 2
2
 -- .000093742s elapsed
 2
2 3
 -- .000095921s elapsed
 2
2 3
 -- .000095131s elapsed
 2
2 3
 -- .000098342s elapsed
 2
2
 -- .000095202s elapsed
 2
2
 -- .00008196s elapsed
2
 -- .00008614s elapsed
1
 -- .000083631s elapsed
1
 -- .000084471s elapsed
1
 -- .000081511s 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.