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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)
 -- 0.028298 seconds elapsed
 -- 0.072664 seconds elapsed
 -- 0.000750249 seconds elapsed
 -- 0.000718291 seconds elapsed
 -- 0.000741166 seconds elapsed
 -- 0.000709291 seconds elapsed
 -- 0.000683958 seconds elapsed
 -- 0.000756041 seconds elapsed
 -- 0.000903458 seconds elapsed
 -- 0.000905624 seconds elapsed
 -- 0.000803582 seconds elapsed
 -- 0.000805207 seconds elapsed
 -- 0.000758124 seconds elapsed
 -- 0.000747958 seconds elapsed
 -- 0.000694791 seconds elapsed
 -- 0.000690083 seconds elapsed
 -- 0.000730333 seconds elapsed
 -- 0.000701416 seconds elapsed
 -- 0.000837791 seconds elapsed
 -- 0.000779207 seconds elapsed
 -- 0.000849457 seconds elapsed
 -- 0.000785332 seconds elapsed
 -- 0.000754999 seconds elapsed
 -- 0.000734374 seconds elapsed
 -- 0.000698708 seconds elapsed
 -- 0.000712166 seconds elapsed
 -- 0.000691666 seconds elapsed
 -- 0.000714707 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.