Trigonometric R Matrices related to `Dilute' Birman--Wenzl--Murakami   Algebra
  Explicit expressions for three series of $R$ matrices which are related to a ``dilute'' generalisation of the Birman--Wenzl--Murakami are presented. Of those, one series is equivalent to the quantum $R$ matrices of the $D^{(2)}_{n+1}$ generalised Toda systems whereas the remaining two series appear to be new. 
Uwe Grimm