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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)
 -- 0.0101341 seconds elapsed
 -- 0.0223245 seconds elapsed
 -- 0.000301413 seconds elapsed
 -- 0.000195535 seconds elapsed
 -- 0.000188972 seconds elapsed
 -- 0.000193741 seconds elapsed
 -- 0.000202859 seconds elapsed
 -- 0.000214991 seconds elapsed
 -- 0.000236291 seconds elapsed
 -- 0.000248765 seconds elapsed
 -- 0.000221844 seconds elapsed
 -- 0.000205433 seconds elapsed
 -- 0.000195845 seconds elapsed
 -- 0.000229859 seconds elapsed
 -- 0.000202888 seconds elapsed
 -- 0.000191748 seconds elapsed
 -- 0.000217286 seconds elapsed
 -- 0.00019341 seconds elapsed
 -- 0.00022476 seconds elapsed
 -- 0.000211386 seconds elapsed
 -- 0.000247491 seconds elapsed
 -- 0.000221363 seconds elapsed
 -- 0.000196958 seconds elapsed
 -- 0.00019837 seconds elapsed
 -- 0.000200894 seconds elapsed
 -- 0.0002093 seconds elapsed
 -- 0.000194974 seconds elapsed
 -- 0.000192749 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.