example: des22_24
description: TITLE : a "dessin d'enfant", called des22_24
REFERENCES :
Raphael Nauheim: "Systems of Algebraic Equations with Bad Reduction" Universitaet Heidelberg, Interdisziplinaeres Zentrum fuer wissenschaftliches Rechnen, Preprint 95-46, Dezember 1995.
Birch, B: "Noncongruence Subgroups, Covers and Drawings", In "The Grothendieck Theory of Dessins d'Enfants", editor: Schneps, L., London Mathematical Society Lecture Series 200, Cambridge University Press, pages 25-46, 1994.
There are 10 real and 32 conjugate complex solutions. Among the 10 real solutions, four of them are ill-conditioned.
system: Polynomial
variables: a20 > a21 > a22 > a23 > a30 > a31 > a32 > a33 > a34 > a35
equations: 0 1 2 3 4 5 6 7 8 9
length of Janet-like basis: 115
length of Janet basis: 129
length of Gröbner basis 45
Hilbert polynomial: 42
Strategy: degJ highJ lowJ degJL highJL lowJL


examples