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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)
 -- .00925571s elapsed
 -- .0147514s elapsed
(number Of blocks, 26)
 -- .000294725s elapsed
1
 -- .000186421s elapsed
1
 -- .000159902s elapsed
1
 -- .000143727s elapsed
1
 -- .000164228s elapsed
2
 -- .000171749s elapsed
 2
2
 -- .000186121s elapsed
 2
2
 -- .000191659s elapsed
 2
2 3
 -- .000177357s elapsed
 2
2 3
 -- .000177548s elapsed
 2
2 3
 -- .000165149s elapsed
 2
2
 -- .000164719s elapsed
 2
2
 -- .000162886s elapsed
2
 -- .000164658s elapsed
2
 -- .00017246s elapsed
 2
2
 -- .000167843s elapsed
 2
2
 -- .000174654s elapsed
 2
2 3
 -- .000195184s elapsed
 2
2 3
 -- .00019199s elapsed
 2
2 3
 -- .000183196s elapsed
 2
2
 -- .00017241s elapsed
 2
2
 -- .000156256s elapsed
2
 -- .00015876s elapsed
1
 -- .000166962s elapsed
1
 -- .000191298s elapsed
1
 -- .000171629s 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.