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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)
 -- 0.0346959 seconds elapsed
 -- 0.0223135 seconds elapsed
 -- 0.000334054 seconds elapsed
 -- 0.000207878 seconds elapsed
 -- 0.000201637 seconds elapsed
 -- 0.000193552 seconds elapsed
 -- 0.000222827 seconds elapsed
 -- 0.000220973 seconds elapsed
 -- 0.000284592 seconds elapsed
 -- 0.000263863 seconds elapsed
 -- 0.000237304 seconds elapsed
 -- 0.000235691 seconds elapsed
 -- 0.000207879 seconds elapsed
 -- 0.000244808 seconds elapsed
 -- 0.000200676 seconds elapsed
 -- 0.000254545 seconds elapsed
 -- 0.000206876 seconds elapsed
 -- 0.000198231 seconds elapsed
 -- 0.000212437 seconds elapsed
 -- 0.000216714 seconds elapsed
 -- 0.000268382 seconds elapsed
 -- 0.000209321 seconds elapsed
 -- 0.000202798 seconds elapsed
 -- 0.000222645 seconds elapsed
 -- 0.000184615 seconds elapsed
 -- 0.00019758 seconds elapsed
 -- 0.000213029 seconds elapsed
 -- 0.000189604 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.