Was Walter White a gamma male?

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In my teens I thought he was alpha but he fits the definition of gamma male pretty well:

>High intelligence that he overvalues the importance of
>God complex in his belief in his own omnipotence and failure to recognise his errors
>Relentless bullying of those further down the hierarchy
>Burning toxic rage against the world for failing to recognise his genius.
>Prickly pride that constantly causes him to sabotage otherwise smoothly functioning systems
>Creepily over-investing in the one woman who gives him interest