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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)
 -- .00745754s elapsed
 -- .0173169s elapsed
(number Of blocks, 26)
 -- .000276538s elapsed
1
 -- .000238657s elapsed
1
 -- .000232927s elapsed
1
 -- .000216556s elapsed
1
 -- .000203671s elapsed
2
 -- .000201387s elapsed
 2
2
 -- .000215864s elapsed
 2
2
 -- .000231594s elapsed
 2
2 3
 -- .000238827s elapsed
 2
2 3
 -- .000230832s elapsed
 2
2 3
 -- .000177052s elapsed
 2
2
 -- .000192311s elapsed
 2
2
 -- .000221816s elapsed
2
 -- .00019197s elapsed
2
 -- .000212328s elapsed
 2
2
 -- .000177943s elapsed
 2
2
 -- .00018723s elapsed
 2
2 3
 -- .000191688s elapsed
 2
2 3
 -- .000194354s elapsed
 2
2 3
 -- .000179687s elapsed
 2
2
 -- .000173545s elapsed
 2
2
 -- .000158347s elapsed
2
 -- .00015478s elapsed
1
 -- .000252232s elapsed
1
 -- .000260308s elapsed
1
 -- .00019232s 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.