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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)
 -- 0.00836151 seconds elapsed
 -- 0.0344602 seconds elapsed
 -- 0.000246443 seconds elapsed
 -- 0.000260002 seconds elapsed
 -- 0.000229322 seconds elapsed
 -- 0.000222922 seconds elapsed
 -- 0.000188682 seconds elapsed
 -- 0.000196442 seconds elapsed
 -- 0.000249883 seconds elapsed
 -- 0.000283363 seconds elapsed
 -- 0.000237002 seconds elapsed
 -- 0.000197842 seconds elapsed
 -- 0.000183202 seconds elapsed
 -- 0.000181001 seconds elapsed
 -- 0.000192082 seconds elapsed
 -- 0.000260082 seconds elapsed
 -- 0.000204242 seconds elapsed
 -- 0.000186481 seconds elapsed
 -- 0.000197922 seconds elapsed
 -- 0.000208282 seconds elapsed
 -- 0.000216242 seconds elapsed
 -- 0.000238522 seconds elapsed
 -- 0.000204921 seconds elapsed
 -- 0.000189921 seconds elapsed
 -- 0.000187202 seconds elapsed
 -- 0.000192961 seconds elapsed
 -- 0.000223402 seconds elapsed
 -- 0.000190642 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.