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%I #11 Nov 18 2024 12:06:50
%S 1,1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,
%T 1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,1,1,1,1,0,
%U 0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1
%N Triangle read by rows: row n gives coefficients of Conway polynomial of degree n over GF(2).
%C The exponents are taken in decreasing order, starting with X^n.
%D J. H. Conway, A tabulation of some information concerning finite fields, in Computers in Mathematical Research, R. F. Churchhouse and J.-C. Hertz, eds., North-Holland, Amsterdam, 1968, pp. 37-50.
%D C. Jansen et al., An Atlas of Brauer Characters, Oxford Univ. Press, 1995 (see Appendix 1).
%H R. J. Mathar, <a href="/A141646/b141646.txt">Table of n, a(n), n=0,...,4370</a>.
%H Frank Luebeck, <a href="http://www.math.rwth-aachen.de/~Frank.Luebeck/data/ConwayPol/index.html">Conway polynomials for finite fields</a>.
%H R. J. Mathar, <a href="/A141646/a141646.mp">Maple converter: Convert Frank Luebeck's table of Conway polynomials to OEIS b-files.</a>
%e 1,
%e 1,1,
%e 1,1,1,
%e 1,0,1,1,
%e 1,0,0,1,1,
%e 1,0,0,1,0,1,
%e 1,0,1,1,0,1,1,
%e 1,0,0,0,0,0,1,1,
%e 1,0,0,0,1,1,1,0,1,
%e 1,0,0,0,0,1,0,0,0,1,
%e 1,0,0,0,1,1,0,1,1,1,1,
%e 1,0,0,0,0,0,0,0,0,1,0,1,
%e 1,0,0,0,0,1,1,1,0,1,0,1,1,
%e 1,0,0,0,0,0,0,0,0,1,1,0,1,1,
%e 1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,
%e 1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,
%e 1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,
%e 1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,
%e 1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,1,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,
%e 1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,0,0,0,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,
%e 1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,1,0,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,1,1,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,1,1,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,1,
%e 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1 - _Vladeta Jovovic_, Sep 11 2008
%o (Magma) // See also MAGMA's ConwayPolynomial(2,n) function.
%Y Cf. A141647, A141648, A141649, A141749.
%K nonn,tabl
%O 0,1
%A _N. J. A. Sloane_, Sep 09 2008
%E Corrected and extended by _Vladeta Jovovic_ and _R. J. Mathar_, Sep 11 2008