Risa/Asir [10] is a general computer algebra system
which can be used for Gröbner basis computations for zero dimensional ideal
with coefficients.
However, it is not good at graphical presentations and
numerical methods.
We integrated Risa/Asir, ox_phc (based on PHC pack by Verschelde [20]
for the polyhedral homotopy method) and
ox_gnuplot (GNUPLOT) servers
to teach a course on solving algebraic equations.
This course was presented with the text book [2],
which discusses
on the Gröbner basis method and the polyhedral homotopy method
to solve systems of algebraic equations.
We taught the course
with a unified environment
controlled by the Asir user language, which is similar to C.
The following is an Asir session to solve algebraic equations by calling
the PHC pack (Figure 2 is the output of `[292]`):

[287] phc(katsura(7)); The detailed output is in the file tmp.output.* The answer is in the variable Phc. 0 [290] B=map(first,Phc)$ [291] gnuplot_plotDots([],0)$ [292] gnuplot_plotDots(B,0)$

Nobuki Takayama 2017-03-30