funny stems

I am messing this up or is Lilypond? How do you resolve the offset stems?

\version "2.18.0"

rightOne = \relative c' {

<<{\stemUp <e g>4. q }\\{a'8\rest \stemUp a( g) a\rest e( b)}>>

rightTwo = \relative c' {

b2.

%<<{ s2.}\\ {b2.} >>

\score { \new Staff = "right"

<< \rightOne \\ \rightTwo >>}