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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)
 -- 0.0195753 seconds elapsed
 -- 0.0109805 seconds elapsed
 -- 0.000160291 seconds elapsed
 -- 0.000104931 seconds elapsed
 -- 0.000102151 seconds elapsed
 -- 0.000107311 seconds elapsed
 -- 0.000106491 seconds elapsed
 -- 0.000133732 seconds elapsed
 -- 0.0001233 seconds elapsed
 -- 0.000133061 seconds elapsed
 -- 0.00011497 seconds elapsed
 -- 0.000110289 seconds elapsed
 -- 0.0001095 seconds elapsed
 -- 0.00015303 seconds elapsed
 -- 0.000106 seconds elapsed
 -- 0.00010615 seconds elapsed
 -- 0.0157548 seconds elapsed
 -- 0.000114441 seconds elapsed
 -- 0.00010679 seconds elapsed
 -- 0.000106872 seconds elapsed
 -- 0.00013302 seconds elapsed
 -- 0.0001099 seconds elapsed
 -- 0.000103721 seconds elapsed
 -- 0.000099851 seconds elapsed
 -- 0.000127851 seconds elapsed
 -- 0.00009969 seconds elapsed
 -- 0.00010198 seconds elapsed
 -- 0.000098741 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.