%I #45 Apr 04 2024 14:04:41

%S 1,7,11,13,17,19,23,29

%N Exponents m_i associated with Weyl group W(E_8).

%C Numbers coprime to 30 in that number's reduced residue system. - _Alonso del Arte_, Oct 03 2017

%D H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 141.

%H Abel Jansma, <a href="https://abeljansma.nl/assets/mscThesis.pdf">E_8 Symmetry Structures in the Ising model</a>, Master's thesis, University of Amsterdam, 2018.

%H <a href="/index/Gre#groups">Index entries for sequences related to groups</a>.

%t Select[Range[30], GCD[30, #] == 1 &] (* _Alonso del Arte_, Oct 03 2017 *)

%o (Magma) Exponents(RootDatum("E8")); // Sergei Haller (sergei(AT)sergei-haller.de), Dec 21 2006

%o (PARI) select(n->gcd(n,30)==1, [1..29]) \\ _Charles R Greathouse IV_, Oct 17 2017

%Y Cf. A005556 (E_6), A005763 (E_7), A106373, A106374, A106403, A048597.

%K nonn,fini,full

%O 1,2

%A _N. J. A. Sloane_