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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)
 -- 0.00663421 seconds elapsed
 -- 0.0403457 seconds elapsed
 -- 0.000199025 seconds elapsed
 -- 0.000147038 seconds elapsed
 -- 0.000134714 seconds elapsed
 -- 0.00012727 seconds elapsed
 -- 0.000123232 seconds elapsed
 -- 0.000137328 seconds elapsed
 -- 0.00015961 seconds elapsed
 -- 0.000163398 seconds elapsed
 -- 0.000156484 seconds elapsed
 -- 0.000127732 seconds elapsed
 -- 0.000116921 seconds elapsed
 -- 0.000123032 seconds elapsed
 -- 0.000116349 seconds elapsed
 -- 0.00011152 seconds elapsed
 -- 0.000123122 seconds elapsed
 -- 0.000144361 seconds elapsed
 -- 0.000127039 seconds elapsed
 -- 0.000128843 seconds elapsed
 -- 0.000169339 seconds elapsed
 -- 0.000134212 seconds elapsed
 -- 0.00012709 seconds elapsed
 -- 0.000117621 seconds elapsed
 -- 0.000128262 seconds elapsed
 -- 0.000138862 seconds elapsed
 -- 0.00012219 seconds elapsed
 -- 0.000115087 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.