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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)
 -- 0.0249355 seconds elapsed
 -- 0.0165061 seconds elapsed
 -- 0.000149185 seconds elapsed
 -- 0.000149729 seconds elapsed
 -- 0.000140343 seconds elapsed
 -- 0.000142819 seconds elapsed
 -- 0.00013913 seconds elapsed
 -- 0.00014604 seconds elapsed
 -- 0.000170272 seconds elapsed
 -- 0.000165119 seconds elapsed
 -- 0.000153404 seconds elapsed
 -- 0.000148726 seconds elapsed
 -- 0.00013895 seconds elapsed
 -- 0.000143657 seconds elapsed
 -- 0.000138406 seconds elapsed
 -- 0.000146279 seconds elapsed
 -- 0.0001411 seconds elapsed
 -- 0.000141283 seconds elapsed
 -- 0.000157989 seconds elapsed
 -- 0.000154932 seconds elapsed
 -- 0.000155708 seconds elapsed
 -- 0.000151518 seconds elapsed
 -- 0.000140687 seconds elapsed
 -- 0.000138382 seconds elapsed
 -- 0.00013321 seconds elapsed
 -- 0.000137963 seconds elapsed
 -- 0.000137727 seconds elapsed
 -- 0.000134734 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.