\title{How to calculate some link invariants associated to the $D_4$ planar algebra.}

\author{Scott~Morrison}
\address{
}%
\email{scott@math.berkeley.edu} \urladdr{http://tqft.net/}

\author{Emily~Peters}
\address{
}%
\email{eep@math.berkeley.edu} \urladdr{http://math.berkeley.edu/$\sim$eep}


\author{Noah~Snyder}
\address{
}%
\email{nsnyder@math.berkeley.edu} \urladdr{http://math.berkeley.edu/$\sim$nsnyder}

\date{
  First edition: the mysterious future
  This edition: \today.
}

\primaryclass{57M25} \secondaryclass{57M27; 57Q45}
\keywords{
  Planar Algebras,
}
