reimer5 -- 5-dimensional Reimer system

Synopsis

Usage:

reimer5(kk)
Inputs:
- kk, a ring, the coefficient ring
Outputs:
- a list, of polynomials in the system

Description

This system was solved in May 2020, using solveSystem in Macaulay2 v1.15 with an Intel(R) Core(TM) i5-5250U CPU at 1.60GHz.

There were 146 solutions found in 6.540 seconds (with a Bezout bound of 720).

Reference: PoSSo test suite.

See also: http://homepages.math.uic.edu/~jan/Demo/reimer5.html.

i1 : reimer5(QQ)

        2     2     2     2     2        3     3     3     3     3        4  
o1 = {2x  - 2y  + 2z  - 2t  + 2u  - 1, 2x  - 2y  + 2z  - 2t  + 2u  - 1, 2x  -
     ------------------------------------------------------------------------
       4     4     4     4        5     5     5     5     5        6     6  
     2y  + 2z  - 2t  + 2u  - 1, 2x  - 2y  + 2z  - 2t  + 2u  - 1, 2x  - 2y  +
     ------------------------------------------------------------------------
       6     6     6
     2z  - 2t  + 2u  - 1}

o1 : List

Ways to use reimer5 :

reimer5(Ring)

For the programmer

The object reimer5 is a method function.