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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)
 -- 0.00971602 seconds elapsed
 -- 0.0158974 seconds elapsed
 -- 0.000171323 seconds elapsed
 -- 0.000167339 seconds elapsed
 -- 0.000179126 seconds elapsed
 -- 0.00014786 seconds elapsed
 -- 0.000221593 seconds elapsed
 -- 0.000172306 seconds elapsed
 -- 0.00016146 seconds elapsed
 -- 0.00014995 seconds elapsed
 -- 0.000157909 seconds elapsed
 -- 0.000146537 seconds elapsed
 -- 0.000147692 seconds elapsed
 -- 0.000136205 seconds elapsed
 -- 0.000127518 seconds elapsed
 -- 0.000150753 seconds elapsed
 -- 0.000136108 seconds elapsed
 -- 0.000120904 seconds elapsed
 -- 0.000139796 seconds elapsed
 -- 0.000170062 seconds elapsed
 -- 0.000191206 seconds elapsed
 -- 0.000140491 seconds elapsed
 -- 0.000184904 seconds elapsed
 -- 0.000163862 seconds elapsed
 -- 0.000158774 seconds elapsed
 -- 0.000159239 seconds elapsed
 -- 0.000152372 seconds elapsed
 -- 0.000169491 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.