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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)
 -- .00920161s elapsed
 -- .0165788s elapsed
(number Of blocks, 26)
 -- .000322593s elapsed
1
 -- .000225412s elapsed
1
 -- .000170088s elapsed
1
 -- .000197119s elapsed
1
 -- .000199073s elapsed
2
 -- .000212167s elapsed
 2
2
 -- .0405531s elapsed
 2
2
 -- .000218679s elapsed
 2
2 3
 -- .000168976s elapsed
 2
2 3
 -- .000158166s elapsed
 2
2 3
 -- .000156242s elapsed
 2
2
 -- .000184505s elapsed
 2
2
 -- .000171361s elapsed
2
 -- .000178234s elapsed
2
 -- .000168345s elapsed
 2
2
 -- .000153096s elapsed
 2
2
 -- .00017663s elapsed
 2
2 3
 -- .000172482s elapsed
 2
2 3
 -- .000201377s elapsed
 2
2 3
 -- .000200896s elapsed
 2
2
 -- .000187371s elapsed
 2
2
 -- .000198471s elapsed
2
 -- .000172062s elapsed
1
 -- .000232304s elapsed
1
 -- .000175248s elapsed
1
 -- .000194294s 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.