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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)
 -- .00818866s elapsed
 -- .0174787s elapsed
(number Of blocks, 26)
 -- .000263142s elapsed
1
 -- .000235811s elapsed
1
 -- .000231804s elapsed
1
 -- .00019262s elapsed
1
 -- .000238957s elapsed
2
 -- .000220021s elapsed
 2
2
 -- .000210443s elapsed
 2
2
 -- .000225211s elapsed
 2
2 3
 -- .000189193s elapsed
 2
2 3
 -- .000175007s elapsed
 2
2 3
 -- .000160109s elapsed
 2
2
 -- .000170939s elapsed
 2
2
 -- .000166682s elapsed
2
 -- .000163646s elapsed
2
 -- .000166972s elapsed
 2
2
 -- .000179806s elapsed
 2
2
 -- .000177322s elapsed
 2
2 3
 -- .000244498s elapsed
 2
2 3
 -- .000186027s elapsed
 2
2 3
 -- .000188923s elapsed
 2
2
 -- .000172823s elapsed
 2
2
 -- .000169567s elapsed
2
 -- .000163706s elapsed
1
 -- .000163576s elapsed
1
 -- .00017691s elapsed
1
 -- .000163305s 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.