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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)
 -- 0.00695921 seconds elapsed
 -- 0.0172047 seconds elapsed
 -- 0.000210488 seconds elapsed
 -- 0.000183424 seconds elapsed
 -- 0.000174626 seconds elapsed
 -- 0.000171359 seconds elapsed
 -- 0.000165913 seconds elapsed
 -- 0.00023004 seconds elapsed
 -- 0.000209639 seconds elapsed
 -- 0.000212766 seconds elapsed
 -- 0.000232385 seconds elapsed
 -- 0.000197462 seconds elapsed
 -- 0.000175556 seconds elapsed
 -- 0.000172794 seconds elapsed
 -- 0.000163671 seconds elapsed
 -- 0.000167272 seconds elapsed
 -- 0.000179749 seconds elapsed
 -- 0.000173051 seconds elapsed
 -- 0.000215286 seconds elapsed
 -- 0.000184559 seconds elapsed
 -- 0.000205071 seconds elapsed
 -- 0.000175157 seconds elapsed
 -- 0.000153241 seconds elapsed
 -- 0.000155164 seconds elapsed
 -- 0.000158615 seconds elapsed
 -- 0.000147615 seconds elapsed
 -- 0.000144428 seconds elapsed
 -- 0.00014107 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.