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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)
 -- 0.00597855 seconds elapsed
 -- 0.0227124 seconds elapsed
 -- 0.000154176 seconds elapsed
 -- 0.000133001 seconds elapsed
 -- 0.000123656 seconds elapsed
 -- 0.000117051 seconds elapsed
 -- 0.000121502 seconds elapsed
 -- 0.000131922 seconds elapsed
 -- 0.000139584 seconds elapsed
 -- 0.000147494 seconds elapsed
 -- 0.0001351 seconds elapsed
 -- 0.000128218 seconds elapsed
 -- 0.000121594 seconds elapsed
 -- 0.000124338 seconds elapsed
 -- 0.000116365 seconds elapsed
 -- 0.000121028 seconds elapsed
 -- 0.000145153 seconds elapsed
 -- 0.00011919 seconds elapsed
 -- 0.000141547 seconds elapsed
 -- 0.000130487 seconds elapsed
 -- 0.000139479 seconds elapsed
 -- 0.00013526 seconds elapsed
 -- 0.000123097 seconds elapsed
 -- 0.000118957 seconds elapsed
 -- 0.0001384 seconds elapsed
 -- 0.000124217 seconds elapsed
 -- 0.000125598 seconds elapsed
 -- 0.000121072 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.