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# all algebraic numbers in a sequence

The beginning of the sequence of all algebraic numbers ordered as explained in the parent entry is as follows:

$0;\,\,-1,\,1;\,\,-2,\,-\frac{1}{2},\,-i,\,i,\,\frac{1}{2},\,2;\,\,-3,\,\frac{-% 1-\sqrt{5}}{2},\,-\sqrt{2},\,-\frac{1}{\sqrt{2}},\,\frac{1-\sqrt{5}}{2},\,% \frac{-1-i\sqrt{3}}{2},\,\frac{-1+i\sqrt{3}}{2},\,-\frac{1}{3},\,$

$-i\sqrt{2},\,-\frac{i}{\sqrt{2}},\,\frac{i}{\sqrt{2}},\,i\sqrt{2},\,\frac{1}{3% },\,\frac{1-i\sqrt{3}}{2},\,\frac{1+i\sqrt{3}}{2},\,\frac{-1+\sqrt{5}}{2},\,% \frac{1}{\sqrt{2}},\,\sqrt{2},\,\frac{1+\sqrt{5}}{2},\,3;\,\ldots$

The first number corresponds to the algebraic equation $x=0$, the two following numbers to the equations $x\pm 1=0$, the six following to the equations $x\pm 2=0$, $2x\pm 1=0$, $x^{2}+1=0$, the twenty following to the equations $x\pm 3=0$, $3x\pm 1=0$, $x^{2}\pm x\pm 1=0$, $x^{2}\pm 2=0$, $2x^{2}\pm 1=0$.

## Mathematics Subject Classification

11R04*no label found*03E10

*no label found*

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