Comments to Generalized Chebyshev polynomial P11


The interest to the tree M11 is due to the fact that it is the only (up to symmetry) tree edge rotation group of which is Matieu group M11. This was proved by

N.M.Adrianov, Yu.Yu.Kochetkov, A.D.Suvorov and G.B.Shabat
Matieu groups and plane trees (in Russian)
Fundamental'naya i prikladnaya matematika, 1(2):377-384, 1995;
correction: ibid, 2(1):317, 1996
The polynomial was published in
Yuri Matiyasevich
Computer calculation of generalized Tchebyshev polynomials (in Russian)
Vestnik MGU, 6:59-61, 1996
Originally, the polynomial was found calculating the coefficient first numerically. Later (linear equivalent) polynomial for tree M11 was found symbolically by
N.M.Adrianov, and G.B.Shabat
Unicellular Cartography and Galois Orbits of Plane Trees
to appear