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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)
 -- 0.00628061 seconds elapsed
 -- 0.0146367 seconds elapsed
 -- 0.000229821 seconds elapsed
 -- 0.000141205 seconds elapsed
 -- 0.000136176 seconds elapsed
 -- 0.000146906 seconds elapsed
 -- 0.000127309 seconds elapsed
 -- 0.000136066 seconds elapsed
 -- 0.000161263 seconds elapsed
 -- 0.000168246 seconds elapsed
 -- 0.000151214 seconds elapsed
 -- 0.000141145 seconds elapsed
 -- 0.000135524 seconds elapsed
 -- 0.000139552 seconds elapsed
 -- 0.000233889 seconds elapsed
 -- 0.000204734 seconds elapsed
 -- 0.000234882 seconds elapsed
 -- 0.000190487 seconds elapsed
 -- 0.000237206 seconds elapsed
 -- 0.00022915 seconds elapsed
 -- 0.000238879 seconds elapsed
 -- 0.0002344 seconds elapsed
 -- 0.000144211 seconds elapsed
 -- 0.000136286 seconds elapsed
 -- 0.000134082 seconds elapsed
 -- 0.000152306 seconds elapsed
 -- 0.000145313 seconds elapsed
 -- 0.000139311 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.