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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)
 -- 0.0400708 seconds elapsed
 -- 0.0132649 seconds elapsed
 -- 0.000290979 seconds elapsed
 -- 0.000134082 seconds elapsed
 -- 0.000144732 seconds elapsed
 -- 0.000127851 seconds elapsed
 -- 0.000134664 seconds elapsed
 -- 0.000135535 seconds elapsed
 -- 0.00015296 seconds elapsed
 -- 0.000157707 seconds elapsed
 -- 0.000142989 seconds elapsed
 -- 0.000134864 seconds elapsed
 -- 0.000124204 seconds elapsed
 -- 0.000163548 seconds elapsed
 -- 0.000125507 seconds elapsed
 -- 0.00012684 seconds elapsed
 -- 0.000263316 seconds elapsed
 -- 0.000144313 seconds elapsed
 -- 0.000136367 seconds elapsed
 -- 0.000131028 seconds elapsed
 -- 0.000148861 seconds elapsed
 -- 0.000128943 seconds elapsed
 -- 0.000118614 seconds elapsed
 -- 0.000126608 seconds elapsed
 -- 0.000118153 seconds elapsed
 -- 0.000121389 seconds elapsed
 -- 0.000119315 seconds elapsed
 -- 0.000115749 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.