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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)
 -- 0.0378678 seconds elapsed
 -- 0.0228464 seconds elapsed
 -- 0.000355764 seconds elapsed
 -- 0.000226883 seconds elapsed
 -- 0.000221572 seconds elapsed
 -- 0.00020374 seconds elapsed
 -- 0.000206284 seconds elapsed
 -- 0.00022571 seconds elapsed
 -- 0.000264834 seconds elapsed
 -- 0.000257199 seconds elapsed
 -- 0.000232934 seconds elapsed
 -- 0.00021514 seconds elapsed
 -- 0.000534085 seconds elapsed
 -- 0.000204882 seconds elapsed
 -- 0.000210221 seconds elapsed
 -- 0.000201205 seconds elapsed
 -- 0.000223115 seconds elapsed
 -- 0.000242101 seconds elapsed
 -- 0.000252801 seconds elapsed
 -- 0.000210231 seconds elapsed
 -- 0.000232633 seconds elapsed
 -- 0.000233885 seconds elapsed
 -- 0.000221633 seconds elapsed
 -- 0.000190916 seconds elapsed
 -- 0.000200884 seconds elapsed
 -- 0.00102772 seconds elapsed
 -- 0.000218998 seconds elapsed
 -- 0.000198741 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.