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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)
 -- 0.00621201 seconds elapsed
 -- 0.0142217 seconds elapsed
 -- 0.000190327 seconds elapsed
 -- 0.000139732 seconds elapsed
 -- 0.000130765 seconds elapsed
 -- 0.000134391 seconds elapsed
 -- 0.000130104 seconds elapsed
 -- 0.000134312 seconds elapsed
 -- 0.000155651 seconds elapsed
 -- 0.00016539 seconds elapsed
 -- 0.000150422 seconds elapsed
 -- 0.000143799 seconds elapsed
 -- 0.000132419 seconds elapsed
 -- 0.000136385 seconds elapsed
 -- 0.00013337 seconds elapsed
 -- 0.000129813 seconds elapsed
 -- 0.000143799 seconds elapsed
 -- 0.000130404 seconds elapsed
 -- 0.000150502 seconds elapsed
 -- 0.000148037 seconds elapsed
 -- 0.000156553 seconds elapsed
 -- 0.000157475 seconds elapsed
 -- 0.000137777 seconds elapsed
 -- 0.000126116 seconds elapsed
 -- 0.000132859 seconds elapsed
 -- 0.000137988 seconds elapsed
 -- 0.000129473 seconds elapsed
 -- 0.000128811 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.