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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)
 -- 0.0198432 seconds elapsed
 -- 0.010722 seconds elapsed
 -- 0.000160971 seconds elapsed
 -- 0.000106831 seconds elapsed
 -- 0.00010467 seconds elapsed
 -- 0.000107111 seconds elapsed
 -- 0.000105352 seconds elapsed
 -- 0.000108871 seconds elapsed
 -- 0.000124112 seconds elapsed
 -- 0.000133211 seconds elapsed
 -- 0.000122321 seconds elapsed
 -- 0.000113821 seconds elapsed
 -- 0.000156242 seconds elapsed
 -- 0.000114301 seconds elapsed
 -- 0.000108052 seconds elapsed
 -- 0.000103661 seconds elapsed
 -- 0.000117861 seconds elapsed
 -- 0.000157332 seconds elapsed
 -- 0.000111121 seconds elapsed
 -- 0.000113252 seconds elapsed
 -- 0.000118221 seconds elapsed
 -- 0.000111392 seconds elapsed
 -- 0.000102261 seconds elapsed
 -- 0.000100341 seconds elapsed
 -- 0.000102721 seconds elapsed
 -- 0.000101801 seconds elapsed
 -- 0.000102251 seconds elapsed
 -- 0.000100671 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.