A005776 Exponents m_i associated with Weyl group W(E_8).

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

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full

Comments

Numbers coprime to 30 in that number's reduced residue system. - Alonso del Arte, Oct 03 2017

References

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

Links

• Abel Jansma, E_8 Symmetry Structures in the Ising model, Master's thesis, University of Amsterdam, 2018.
• Index entries for sequences related to groups.

Crossrefs

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

Programs

Magma

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

Mathematica

Select[Range[30], GCD[30, #] == 1 &] (* Alonso del Arte, Oct 03 2017 *)

PARI

select(n->gcd(n,30)==1, [1..29]) \\ Charles R Greathouse IV, Oct 17 2017