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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)
 -- 0.00497525 seconds elapsed
 -- 0.0118564 seconds elapsed
 -- 0.000175791 seconds elapsed
 -- 0.000108221 seconds elapsed
 -- 0.000106821 seconds elapsed
 -- 0.000102361 seconds elapsed
 -- 0.000105421 seconds elapsed
 -- 0.000109552 seconds elapsed
 -- 0.00016021 seconds elapsed
 -- 0.00013283 seconds elapsed
 -- 0.000133941 seconds elapsed
 -- 0.000112172 seconds elapsed
 -- 0.000105981 seconds elapsed
 -- 0.000109181 seconds elapsed
 -- 0.000108172 seconds elapsed
 -- 0.000104632 seconds elapsed
 -- 0.000111761 seconds elapsed
 -- 0.000115801 seconds elapsed
 -- 0.000117811 seconds elapsed
 -- 0.000114501 seconds elapsed
 -- 0.000126701 seconds elapsed
 -- 0.000117371 seconds elapsed
 -- 0.000106711 seconds elapsed
 -- 0.000107401 seconds elapsed
 -- 0.000109671 seconds elapsed
 -- 0.00010671 seconds elapsed
 -- 0.000106572 seconds elapsed
 -- 0.000107882 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.