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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)
 -- 0.0406119 seconds elapsed
 -- 0.0219471 seconds elapsed
 -- 0.000372896 seconds elapsed
 -- 0.000208981 seconds elapsed
 -- 0.00020872 seconds elapsed
 -- 0.000227725 seconds elapsed
 -- 0.000240731 seconds elapsed
 -- 0.000236011 seconds elapsed
 -- 0.00027823 seconds elapsed
 -- 0.000312213 seconds elapsed
 -- 0.00058903 seconds elapsed
 -- 0.000210243 seconds elapsed
 -- 0.000199634 seconds elapsed
 -- 0.000216975 seconds elapsed
 -- 0.000197369 seconds elapsed
 -- 0.000190987 seconds elapsed
 -- 0.000204001 seconds elapsed
 -- 0.000265015 seconds elapsed
 -- 0.00021998 seconds elapsed
 -- 0.000215963 seconds elapsed
 -- 0.000250708 seconds elapsed
 -- 0.000218589 seconds elapsed
 -- 0.000233255 seconds elapsed
 -- 0.000198281 seconds elapsed
 -- 0.000191228 seconds elapsed
 -- 0.000199903 seconds elapsed
 -- 0.00020382 seconds elapsed
 -- 0.000202929 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.