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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)
 -- .00508643s elapsed
 -- .0079978s elapsed
(number Of blocks, 26)
 -- .000172929s elapsed
1
 -- .000114169s elapsed
1
 -- .000104269s elapsed
1
 -- .00009538s elapsed
1
 -- .00009552s elapsed
2
 -- .000106529s elapsed
 2
2
 -- .00010681s elapsed
 2
2
 -- .000119839s elapsed
 2
2 3
 -- .000099629s elapsed
 2
2 3
 -- .00010264s elapsed
 2
2 3
 -- .00010077s elapsed
 2
2
 -- .00010132s elapsed
 2
2
 -- .00009593s elapsed
2
 -- .000093849s elapsed
2
 -- .00009678s elapsed
 2
2
 -- .00009591s elapsed
 2
2
 -- .00010372s elapsed
 2
2 3
 -- .000093219s elapsed
 2
2 3
 -- .00009478s elapsed
 2
2 3
 -- .00009176s elapsed
 2
2
 -- .00008809s elapsed
 2
2
 -- .0000851s elapsed
2
 -- .00008546s elapsed
1
 -- .00009031s elapsed
1
 -- .000087919s elapsed
1
 -- .00008753s 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.