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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)
 -- 0.0192061 seconds elapsed
 -- 0.0128469 seconds elapsed
 -- 0.000121945 seconds elapsed
 -- 0.000117447 seconds elapsed
 -- 0.000107499 seconds elapsed
 -- 0.000108321 seconds elapsed
 -- 0.00010449 seconds elapsed
 -- 0.000112382 seconds elapsed
 -- 0.000128653 seconds elapsed
 -- 0.000128307 seconds elapsed
 -- 0.000118959 seconds elapsed
 -- 0.000111183 seconds elapsed
 -- 0.000107921 seconds elapsed
 -- 0.000106811 seconds elapsed
 -- 0.00010644 seconds elapsed
 -- 0.000108586 seconds elapsed
 -- 0.000112567 seconds elapsed
 -- 0.000108092 seconds elapsed
 -- 0.000120056 seconds elapsed
 -- 0.00011819 seconds elapsed
 -- 0.000124973 seconds elapsed
 -- 0.000115775 seconds elapsed
 -- 0.000109867 seconds elapsed
 -- 0.000106049 seconds elapsed
 -- 0.000107267 seconds elapsed
 -- 0.000106713 seconds elapsed
 -- 0.000107978 seconds elapsed
 -- 0.00011045 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.