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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)
 -- 0.00868956 seconds elapsed
 -- 0.0178328 seconds elapsed
 -- 0.000418528 seconds elapsed
 -- 0.00023788 seconds elapsed
 -- 0.00020509 seconds elapsed
 -- 0.000237761 seconds elapsed
 -- 0.000219893 seconds elapsed
 -- 0.000210537 seconds elapsed
 -- 0.000231005 seconds elapsed
 -- 0.000240468 seconds elapsed
 -- 0.000208981 seconds elapsed
 -- 0.000207621 seconds elapsed
 -- 0.0002155 seconds elapsed
 -- 0.00020146 seconds elapsed
 -- 0.000170036 seconds elapsed
 -- 0.000221575 seconds elapsed
 -- 0.000191863 seconds elapsed
 -- 0.00018386 seconds elapsed
 -- 0.000193219 seconds elapsed
 -- 0.000188997 seconds elapsed
 -- 0.000227119 seconds elapsed
 -- 0.000198132 seconds elapsed
 -- 0.00018728 seconds elapsed
 -- 0.000182541 seconds elapsed
 -- 0.000168131 seconds elapsed
 -- 0.000180152 seconds elapsed
 -- 0.000194332 seconds elapsed
 -- 0.000180357 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.