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The general rule of thumb for root locus is that the branches can only cross the real axis to the left of an odd zero or pole

Yet, I have seen examples where the opposite is true, where it crosses on even poles and zeros

For example $Gp(s)=(1-s)/s(s+5)$

What is the rule for this?

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    What is the definition for even/odd poles/zeros? – 2017-02-24
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    I've never heard of this rule of thumb or even the notion of "odd" or "even" poles/zeros. Please explain. – 2017-03-17

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