# trinks -- system of Trinks from the PoSSo test suite

## Synopsis

• Usage:
trinks(kk)
• Inputs:
• kk, a ring, the coefficient ring
• Outputs:
• a list, of the 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 10 solutions found in 0.203 seconds (with a Bezout bound of 24).

Reference: See the PoSSo test suite.

 i1 : trinks(QQ) 2 o1 = {45y + 35u - 165v - 36, 35y + 25z + 40t - 27u, 25y*u - 165v + 15x - 18z ------------------------------------------------------------------------ 3 2 + 30t, 15y*z + 20t*u - 9x, - 11v + x*y + 2z*t, - 11u*v + 3v + 99x} o1 : List

## Ways to use trinks :

• "trinks(Ring)"

## For the programmer

The object trinks is .