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According to Wikipedia... (terrible intro) The discriminant of a 6-degree polynomial has 246 terms. The article claims that the relationship between the terms in the discriminant has an exponential relationship to the degree of the equation. On the contrary, I put in the available data into Wolfram Alpha (2,2),(3,5),(4,16),(5,59),(6,246), used interpolate polynomial, and it gave me the equation (11 x^4)/3-(142 x^3)/3+(685 x^2)/3-(1433 x)/3+364. Plugging 7 into this equation yields 777. Is the number of terms in a general septic discriminant 777, or is it something else? Or is there no discriminant for a general septic equation?

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The septic discriminant has 1103 terms. See OEIS sequence A007878 for more.

Robert Israel
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