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# Eisenstein integers

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**Eisenstein integers** are complex numbers of the form

a |

b |

is a primitive (non-real) cube root of unity.

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This is the latest approved revision, approved on *8 March 2017*.
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**Eisenstein integers** are complex numbers of the form

- $z=a+b\,\omega ,\,$

a |

b |

- $\omega =e^{2\pi i/3}=\cos \left({\frac {2\pi }{3}}\right)+i\sin \left({\frac {2\pi }{3}}\right)=-{\frac {1}{2}}+i{\frac {\sqrt {3}}{2}}\,$

is a primitive (non-real) cube root of unity.

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- This page was last edited on 8 March 2017, at 20:22.
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