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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)
 -- 0.00489021 seconds elapsed
 -- 0.011378 seconds elapsed
 -- 0.000182462 seconds elapsed
 -- 0.000112201 seconds elapsed
 -- 0.00010301 seconds elapsed
 -- 0.000112301 seconds elapsed
 -- 0.00010243 seconds elapsed
 -- 0.000106741 seconds elapsed
 -- 0.000132701 seconds elapsed
 -- 0.000134301 seconds elapsed
 -- 0.000117941 seconds elapsed
 -- 0.000107881 seconds elapsed
 -- 0.000104801 seconds elapsed
 -- 0.000114171 seconds elapsed
 -- 0.000104091 seconds elapsed
 -- 0.000101471 seconds elapsed
 -- 0.000113131 seconds elapsed
 -- 0.000109401 seconds elapsed
 -- 0.000113021 seconds elapsed
 -- 0.000112091 seconds elapsed
 -- 0.000121772 seconds elapsed
 -- 0.000114061 seconds elapsed
 -- 0.000116272 seconds elapsed
 -- 0.00010402 seconds elapsed
 -- 0.000106152 seconds elapsed
 -- 0.000103212 seconds elapsed
 -- 0.00010691 seconds elapsed
 -- 0.000098571 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.