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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)
 -- .00788936s elapsed
 -- .0138723s elapsed
(number Of blocks, 26)
 -- .000283879s elapsed
1
 -- .000196407s elapsed
1
 -- .000175195s elapsed
1
 -- .000181174s elapsed
1
 -- .000177749s elapsed
2
 -- .000174724s elapsed
 2
2
 -- .000194694s elapsed
 2
2
 -- .000205421s elapsed
 2
2 3
 -- .000219151s elapsed
 2
2 3
 -- .000187694s elapsed
 2
2 3
 -- .000186201s elapsed
 2
2
 -- .000188155s elapsed
 2
2
 -- .000181213s elapsed
2
 -- .000173402s elapsed
2
 -- .000186632s elapsed
 2
2
 -- .000174153s elapsed
 2
2
 -- .000192871s elapsed
 2
2 3
 -- .000183327s elapsed
 2
2 3
 -- .000188545s elapsed
 2
2 3
 -- .000206682s elapsed
 2
2
 -- .00018494s elapsed
 2
2
 -- .000172841s elapsed
2
 -- .000173332s elapsed
1
 -- .000197759s elapsed
1
 -- .000193282s elapsed
1
 -- .000162786s 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.