I can get the not equal to sign, but can't seem to find the not equivalent sign!
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You can use $\not\equiv$.
And you can always have a look at “How to look up a symbol?” for ideas how you can easily find a particular symbol.
Or you try Detexify where you can draw your symbol.
Philipp Imhof
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$\not\equiv$? – Philipp Imhof Sep 09 '15 at 13:43