Newton Polytope and Normal Fan

When f is the following polynomial with 40 terms (a discriminant),
3125q4r4 -1024p5q2 +1280p4q2r -40p3q2r2 +4000p2q3r2 -40p2q2r3 +500pq3r3 +1280pq2r4 +4000q3r4 -1024q2r5 -432p6 -1152p5q +768p4q2 +864p5r +1584p4qr +512p3q2r -432p4r2 +1584p3qr2 +5038p2q2r2 -200pq3r2 -1152p2qr3 +512pq2r3 -200q3r3 +768q2r4 +216p5 +832p4q -192p3q2 +216p4r +532p3qr -208p2q2r +832p2qr2 -208pq2r2 +16q3r2 -192q2r3 -27p4 -200p3q +16p2q2 -200p2qr +16q2r2 +16p2q
Its Newton polytope and normal fan are
Last modified: Mon Jun 19 12:03:19 WAT 2017