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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)
 -- 0.0340434 seconds elapsed
 -- 0.0216144 seconds elapsed
 -- 0.000294107 seconds elapsed
 -- 0.000231671 seconds elapsed
 -- 0.000202738 seconds elapsed
 -- 0.000196656 seconds elapsed
 -- 0.000193219 seconds elapsed
 -- 0.000205352 seconds elapsed
 -- 0.000240628 seconds elapsed
 -- 0.000255545 seconds elapsed
 -- 0.00023639 seconds elapsed
 -- 0.000211133 seconds elapsed
 -- 0.000195995 seconds elapsed
 -- 0.000199822 seconds elapsed
 -- 0.000192198 seconds elapsed
 -- 0.000180536 seconds elapsed
 -- 0.000190776 seconds elapsed
 -- 0.000240317 seconds elapsed
 -- 0.000215241 seconds elapsed
 -- 0.000212806 seconds elapsed
 -- 0.000258862 seconds elapsed
 -- 0.000210242 seconds elapsed
 -- 0.00020456 seconds elapsed
 -- 0.00018269 seconds elapsed
 -- 0.000183081 seconds elapsed
 -- 0.000188922 seconds elapsed
 -- 0.000197568 seconds elapsed
 -- 0.000192107 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.