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K3Carpets :: carpetDet

carpetDet -- compute the determinant of the crucial constant strand of a carpet X(a,b)

Synopsis

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)
 -- 0.416125 seconds elapsed
 -- 0.658477 seconds elapsed
 -- 0.0037249 seconds elapsed
 -- 0.00455 seconds elapsed
 -- 0.0052905 seconds elapsed
 -- 0.0039039 seconds elapsed
 -- 0.003995 seconds elapsed
 -- 0.0043628 seconds elapsed
 -- 0.0059368 seconds elapsed
 -- 0.004948 seconds elapsed
 -- 0.0043787 seconds elapsed
 -- 0.0038085 seconds elapsed
 -- 0.0047996 seconds elapsed
 -- 0.0038487 seconds elapsed
 -- 0.003937 seconds elapsed
 -- 0.0051772 seconds elapsed
 -- 0.0055088 seconds elapsed
 -- 0.0034412 seconds elapsed
 -- 0.0037111 seconds elapsed
 -- 0.0042193 seconds elapsed
 -- 0.0044333 seconds elapsed
 -- 0.0038777 seconds elapsed
 -- 0.0050575 seconds elapsed
 -- 0.0034374 seconds elapsed
 -- 0.0037426 seconds elapsed
 -- 0.0040336 seconds elapsed
 -- 0.0049571 seconds elapsed
 -- 0.0033747 seconds elapsed
(number Of blocks, 26)
1
1
1
1
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
1
1
1
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :

For the programmer

The object carpetDet is a method function.