Assertion: real number's root | /r/HasProperty | sorted by absolute value
Facets:
Source sentences:
text: Given an algebraic number α {\displaystyle \alpha } , let a 0 x 0 + a 1 x 1 + a 2 x 2 + ⋯ + a n x n {\displaystyle a_{0}x^{0}+a_{1}x^{1}+a_{2}x^{2}+\cdots +a_{n}x^{n}} be a polynomial with integer coefficients such that α {\displaystyle \alpha } is the kth root of the polynomial, where the roots are sorted by absolute value from small to big, then sorted by argument from small to big.