As all roads are said to lead to Rome, so I find, in my own case at least, that all algebraic inquiries sooner or later end at the Capitol of Modern Algebra over whose shining portal is inscribed "Theory of Invariants."
The Collected Mathematical Papers of James Joseph Sylvester (Volume 2), An Inquiry into Newton's Rule for the Discovery of Imaginary Roots, (p. 380, fn 1)