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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)
 -- 0.00951404 seconds elapsed
 -- 0.0223862 seconds elapsed
 -- 0.000307023 seconds elapsed
 -- 0.000195125 seconds elapsed
 -- 0.000193491 seconds elapsed
 -- 0.000183413 seconds elapsed
 -- 0.000196768 seconds elapsed
 -- 0.000212457 seconds elapsed
 -- 0.000232806 seconds elapsed
 -- 0.000239007 seconds elapsed
 -- 0.00021439 seconds elapsed
 -- 0.000207718 seconds elapsed
 -- 0.000190857 seconds elapsed
 -- 0.000201176 seconds elapsed
 -- 0.000206056 seconds elapsed
 -- 0.00019808 seconds elapsed
 -- 0.000200766 seconds elapsed
 -- 0.000199754 seconds elapsed
 -- 0.00021949 seconds elapsed
 -- 0.000209512 seconds elapsed
 -- 0.000230971 seconds elapsed
 -- 0.000225622 seconds elapsed
 -- 0.000219851 seconds elapsed
 -- 0.000201277 seconds elapsed
 -- 0.000189845 seconds elapsed
 -- 0.000199813 seconds elapsed
 -- 0.000200335 seconds elapsed
 -- 0.000195726 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.