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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)
 -- .00802524s elapsed
 -- .0164748s elapsed
(number Of blocks, 26)
 -- .000326085s elapsed
1
 -- .000308245s elapsed
1
 -- .000344645s elapsed
1
 -- .000303404s elapsed
1
 -- .000313045s elapsed
2
 -- .000359486s elapsed
 2
2
 -- .000330725s elapsed
 2
2
 -- .000355526s elapsed
 2
2 3
 -- .000305844s elapsed
 2
2 3
 -- .000297765s elapsed
 2
2 3
 -- .000291004s elapsed
 2
2
 -- .000305085s elapsed
 2
2
 -- .000274244s elapsed
2
 -- .000288084s elapsed
2
 -- .000280764s elapsed
 2
2
 -- .000274124s elapsed
 2
2
 -- .000290205s elapsed
 2
2 3
 -- .000288804s elapsed
 2
2 3
 -- .000280005s elapsed
 2
2 3
 -- .000284964s elapsed
 2
2
 -- .000310765s elapsed
 2
2
 -- .000262724s elapsed
2
 -- .000264444s elapsed
1
 -- .000319565s elapsed
1
 -- .000285485s elapsed
1
 -- .000338525s 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.