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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)
 -- 0.00693162 seconds elapsed
 -- 0.0364327 seconds elapsed
 -- 0.000166912 seconds elapsed
 -- 0.000164429 seconds elapsed
 -- 0.000145039 seconds elapsed
 -- 0.000145572 seconds elapsed
 -- 0.000147875 seconds elapsed
 -- 0.000151469 seconds elapsed
 -- 0.000177886 seconds elapsed
 -- 0.000184648 seconds elapsed
 -- 0.000163518 seconds elapsed
 -- 0.00015491 seconds elapsed
 -- 0.000153676 seconds elapsed
 -- 0.000153442 seconds elapsed
 -- 0.000148163 seconds elapsed
 -- 0.0001601 seconds elapsed
 -- 0.000158578 seconds elapsed
 -- 0.000148142 seconds elapsed
 -- 0.000163406 seconds elapsed
 -- 0.000167769 seconds elapsed
 -- 0.000171936 seconds elapsed
 -- 0.000159811 seconds elapsed
 -- 0.000151772 seconds elapsed
 -- 0.000162312 seconds elapsed
 -- 0.000155031 seconds elapsed
 -- 0.000151142 seconds elapsed
 -- 0.000155438 seconds elapsed
 -- 0.000147543 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.