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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)
 -- 0.0127899 seconds elapsed
 -- 0.0275317 seconds elapsed
 -- 0.000408944 seconds elapsed
 -- 0.00032902 seconds elapsed
 -- 0.000264971 seconds elapsed
 -- 0.000260421 seconds elapsed
 -- 0.000297521 seconds elapsed
 -- 0.000300771 seconds elapsed
 -- 0.000332821 seconds elapsed
 -- 0.00040452 seconds elapsed
 -- 0.000349196 seconds elapsed
 -- 0.000303646 seconds elapsed
 -- 0.000369445 seconds elapsed
 -- 0.00034157 seconds elapsed
 -- 0.000300171 seconds elapsed
 -- 0.000344896 seconds elapsed
 -- 0.00035827 seconds elapsed
 -- 0.000319045 seconds elapsed
 -- 0.000312796 seconds elapsed
 -- 0.000338746 seconds elapsed
 -- 0.000335246 seconds elapsed
 -- 0.000341746 seconds elapsed
 -- 0.00036612 seconds elapsed
 -- 0.000329845 seconds elapsed
 -- 0.000335496 seconds elapsed
 -- 0.000392145 seconds elapsed
 -- 0.000359771 seconds elapsed
 -- 0.000430595 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.