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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)
 -- 0.0341625 seconds elapsed
 -- 0.0156257 seconds elapsed
 -- 0.000291035 seconds elapsed
 -- 0.000126337 seconds elapsed
 -- 0.000121969 seconds elapsed
 -- 0.000108443 seconds elapsed
 -- 0.000118052 seconds elapsed
 -- 0.000118191 seconds elapsed
 -- 0.000166873 seconds elapsed
 -- 0.000161932 seconds elapsed
 -- 0.000131336 seconds elapsed
 -- 0.000146072 seconds elapsed
 -- 0.00011782 seconds elapsed
 -- 0.000130594 seconds elapsed
 -- 0.000118481 seconds elapsed
 -- 0.000120384 seconds elapsed
 -- 0.00013334 seconds elapsed
 -- 0.000122028 seconds elapsed
 -- 0.000139881 seconds elapsed
 -- 0.00013837 seconds elapsed
 -- 0.000147586 seconds elapsed
 -- 0.000141876 seconds elapsed
 -- 0.000130734 seconds elapsed
 -- 0.000113382 seconds elapsed
 -- 0.00012278 seconds elapsed
 -- 0.000127979 seconds elapsed
 -- 0.000108914 seconds elapsed
 -- 0.00010656 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.