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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)
 -- 0.0102422 seconds elapsed
 -- 0.0221987 seconds elapsed
 -- 0.00030613 seconds elapsed
 -- 0.000218096 seconds elapsed
 -- 0.000198208 seconds elapsed
 -- 0.000196465 seconds elapsed
 -- 0.000185966 seconds elapsed
 -- 0.000207697 seconds elapsed
 -- 0.000253542 seconds elapsed
 -- 0.000259453 seconds elapsed
 -- 0.000216293 seconds elapsed
 -- 0.000225891 seconds elapsed
 -- 0.000291973 seconds elapsed
 -- 0.000203499 seconds elapsed
 -- 0.000197268 seconds elapsed
 -- 0.000201024 seconds elapsed
 -- 0.000203239 seconds elapsed
 -- 0.000190905 seconds elapsed
 -- 0.000237382 seconds elapsed
 -- 0.000211674 seconds elapsed
 -- 0.000239256 seconds elapsed
 -- 0.000228836 seconds elapsed
 -- 0.000200483 seconds elapsed
 -- 0.000201745 seconds elapsed
 -- 0.000206083 seconds elapsed
 -- 0.000223056 seconds elapsed
 -- 0.000201856 seconds elapsed
 -- 0.000182851 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.