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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)
 -- 0.0338989 seconds elapsed
 -- 0.0251085 seconds elapsed
 -- 0.000456795 seconds elapsed
 -- 0.000356896 seconds elapsed
 -- 0.000317422 seconds elapsed
 -- 0.000363146 seconds elapsed
 -- 0.000351321 seconds elapsed
 -- 0.000372971 seconds elapsed
 -- 0.000416945 seconds elapsed
 -- 0.000482945 seconds elapsed
 -- 0.000363071 seconds elapsed
 -- 0.000356871 seconds elapsed
 -- 0.000344571 seconds elapsed
 -- 0.000408945 seconds elapsed
 -- 0.000413446 seconds elapsed
 -- 0.000380845 seconds elapsed
 -- 0.00042642 seconds elapsed
 -- 0.000374621 seconds elapsed
 -- 0.000345746 seconds elapsed
 -- 0.000341421 seconds elapsed
 -- 0.000354946 seconds elapsed
 -- 0.000338471 seconds elapsed
 -- 0.000338897 seconds elapsed
 -- 0.000322571 seconds elapsed
 -- 0.000307147 seconds elapsed
 -- 0.000306972 seconds elapsed
 -- 0.000283496 seconds elapsed
 -- 0.000286396 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.