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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)
 -- 0.365824 seconds elapsed
 -- 0.440091 seconds elapsed
 -- 0.004123 seconds elapsed
 -- 0.0045329 seconds elapsed
 -- 0.0041103 seconds elapsed
 -- 0.0033686 seconds elapsed
 -- 0.0035419 seconds elapsed
 -- 0.0042009 seconds elapsed
 -- 0.0071228 seconds elapsed
 -- 0.0050379 seconds elapsed
 -- 0.0052905 seconds elapsed
 -- 0.007418 seconds elapsed
 -- 0.0042957 seconds elapsed
 -- 0.0047997 seconds elapsed
 -- 0.0037687 seconds elapsed
 -- 0.0056423 seconds elapsed
 -- 0.004094 seconds elapsed
 -- 0.0033987 seconds elapsed
 -- 0.0041292 seconds elapsed
 -- 0.0068113 seconds elapsed
 -- 0.0040542 seconds elapsed
 -- 0.0040076 seconds elapsed
 -- 0.0039644 seconds elapsed
 -- 0.0032872 seconds elapsed
 -- 0.0035932 seconds elapsed
 -- 0.0035321 seconds elapsed
 -- 0.0037563 seconds elapsed
 -- 0.0037229 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.