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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)
 -- 0.00628332 seconds elapsed
 -- 0.0154995 seconds elapsed
 -- 0.000215706 seconds elapsed
 -- 0.000164649 seconds elapsed
 -- 0.00014383 seconds elapsed
 -- 0.000143499 seconds elapsed
 -- 0.000139682 seconds elapsed
 -- 0.000141696 seconds elapsed
 -- 0.000166112 seconds elapsed
 -- 0.000173446 seconds elapsed
 -- 0.000154471 seconds elapsed
 -- 0.000168446 seconds elapsed
 -- 0.000143038 seconds elapsed
 -- 0.000140944 seconds elapsed
 -- 0.000140253 seconds elapsed
 -- 0.000132851 seconds elapsed
 -- 0.00014373 seconds elapsed
 -- 0.00014358 seconds elapsed
 -- 0.000151714 seconds elapsed
 -- 0.000158788 seconds elapsed
 -- 0.000165902 seconds elapsed
 -- 0.00015487 seconds elapsed
 -- 0.000151695 seconds elapsed
 -- 0.000157806 seconds elapsed
 -- 0.000157818 seconds elapsed
 -- 0.000158538 seconds elapsed
 -- 0.000195268 seconds elapsed
 -- 0.000315183 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.