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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)
 -- 0.0223223 seconds elapsed
 -- 0.017615 seconds elapsed
 -- 0.000253291 seconds elapsed
 -- 0.00022719 seconds elapsed
 -- 0.000252154 seconds elapsed
 -- 0.000196796 seconds elapsed
 -- 0.000172946 seconds elapsed
 -- 0.0001976 seconds elapsed
 -- 0.000225494 seconds elapsed
 -- 0.000228267 seconds elapsed
 -- 0.000192087 seconds elapsed
 -- 0.000204973 seconds elapsed
 -- 0.000184688 seconds elapsed
 -- 0.000214115 seconds elapsed
 -- 0.00028003 seconds elapsed
 -- 0.000231109 seconds elapsed
 -- 0.000216288 seconds elapsed
 -- 0.000178794 seconds elapsed
 -- 0.000186691 seconds elapsed
 -- 0.000287598 seconds elapsed
 -- 0.00020607 seconds elapsed
 -- 0.000187907 seconds elapsed
 -- 0.000172229 seconds elapsed
 -- 0.00016536 seconds elapsed
 -- 0.000169896 seconds elapsed
 -- 0.000158409 seconds elapsed
 -- 0.000161864 seconds elapsed
 -- 0.00017393 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.