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A106312 Possible negative values of the discriminant of irreducible monic integral cubic polynomials.

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%I A106312 #12 Feb 16 2025 08:32:57
%S A106312 23,31,44,59,76,83,87,104,107,108,116,135,139,140,152,172,175,176,199,
%T A106312 200,204,211,212,216,231,236,239,243,244,247,255,268,279,283,300,304,
%U A106312 307,324,327,331,332,335,339,351,356,364,367,379,411,416,419,424,428
%N A106312 Possible negative values of the discriminant of irreducible monic integral cubic polynomials.
%C A106312 These discriminants were found by examining all irreducible integral cubic polynomials x^3+ax^2+bx+c for a,b,c in [ -30,30]. Closely related to A023679, discriminants of complex cubic fields.
%H A106312 Mohammad K. Azarian, <a href="http://www.ijpam.eu/contents/2007-36-2/9/9.pdf">On the Hyperfactorial Function, Hypertriangular Function, and the Discriminants of Certain Polynomials</a>, International Journal of Pure and Applied Mathematics, Vol. 36, No. 2, 2007, pp. 251-257.  Mathematical Reviews, MR2312537.  Zentralblatt MATH, Zbl 1133.11012.
%H A106312 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PolynomialDiscriminant.html">Polynomial Discriminant</a>
%K A106312 nonn
%O A106312 1,1
%A A106312 _T. D. Noe_, May 17 2005