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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)
 -- .00697977s elapsed
 -- .00845016s elapsed
 -- .000198552s elapsed
 -- .00014297s elapsed
 -- .000129671s elapsed
 -- .000116941s elapsed
 -- .000125971s elapsed
 -- .000122801s elapsed
 -- .00013917s elapsed
 -- .000137592s elapsed
 -- .000124121s elapsed
 -- .00011666s elapsed
 -- .000136911s elapsed
 -- .00010616s elapsed
 -- .000096491s elapsed
 -- .000094491s elapsed
 -- .000094409s elapsed
 -- .00010474s elapsed
 -- .00010565s elapsed
 -- .00010039s elapsed
 -- .000125411s elapsed
 -- .000110881s elapsed
 -- .000110582s elapsed
 -- .000096741s elapsed
 -- .000095131s elapsed
 -- .00009637s elapsed
 -- .000093921s elapsed
 -- .000107609s elapsed
(number Of blocks, 26)
1
1
1
1
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
1
1
1
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.