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How does the summoner eidolon hit points increase with pfs rules? I am thinking it increases the same as the summoner's being half its hit die which is d10 plus 1 plus con.

My Eidolon is serpentine and starts with bite and tail slap. With evolutions i gave him a sting attack and limbs(arms). My question is how would his attack bonuses work out being that once an eidolon gains 3 natural attacks he gets multiattack as a bonus feat?