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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)
 -- .00786085s elapsed
 -- .0094577s elapsed
 -- .000192271s elapsed
 -- .000122921s elapsed
 -- .00011022s elapsed
 -- .000106381s elapsed
 -- .000134751s elapsed
 -- .000140251s elapsed
 -- .00013049s elapsed
 -- .000139771s elapsed
 -- .000118351s elapsed
 -- .000122981s elapsed
 -- .000184641s elapsed
 -- .000106641s elapsed
 -- .00009984s elapsed
 -- .000095871s elapsed
 -- .00009345s elapsed
 -- .000092941s elapsed
 -- .000095251s elapsed
 -- .000104151s elapsed
 -- .000112701s elapsed
 -- .000104091s elapsed
 -- .00010268s elapsed
 -- .000096201s elapsed
 -- .000092291s elapsed
 -- .000096641s elapsed
 -- .000092491s elapsed
 -- .00009766s 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.