9  US 9,323,150 B2  10  In the formula, the organic group containing a polymeriz- able group, represented by Q$_{1 }$ is not particularly limited as  long as a polymerizable group is contained in the group. As  the polymerizable group, there can be mentioned, for  example, an acrylyl group, a methacrylyl group, a styryl  group, a norbornenyl group, a maleimido group, a vinyl ether  group or the like. An acrylyl group, a methacrylyl group and  a styryl group are most preferred.  As the bivalent connecting groups represented by L$_{1 }$ and  L$_{2}$ ,  there can be mentioned, for example, a substituted or 25  unsubstituted arylene group, a substituted or unsubstituted  alkylene group, a substituted or unsubstituted cycloalkylene  group,  ---0-, -CO-, and a bivalent connecting group  resulting from a combination of two or more of these.  It  is preferred for the arylene group to be, for example, one  having 6 to 14 carbon atoms. As particular examples of the  arylene groups, there can be mentioned a phenylene group, a  naphthylene group, an anthrylene group, a phenanthrylene  group, a biphenylene group, a terphenylene group and the  like.  The alkylene group and cycloalkylene group are prefer› ably, for example, those each having 1 to 15 carbon atoms.As  particular examples thereof, there can be mentioned forms  resulting from the abstraction of one hydrogen atom from any  oflinear, branched and cyclic alkyl groups, such as a methyl  group, an ethyl group, an n-propyl group, an isopropyl group,  an n-butyl group, a sec-butyl group, a tert-butyl group, a  tert-amyl group, an n-pentyl group, an n-hexyl group, an  n-heptyl group, an n-octyl group, an n-nonyl group, an n-de› cyl group, a cyclopentyl group, a cyclohexyl group, a cyclo› pentylmethyl group, a cyclopentylethyl group, a cyclopentyl› butyl group, a cyclohexylmethyl group, a cyclohexylethyl  group, a cyclohexylbutyl group and an adamantyl group.  As substituents that can be introduced in these arylene,  alkylene and cycloalkylene groups, there can be mentioned,  for example, an alkyl group, an aralkyl group, an alkoxy  group, a fluorine atom and the like.  In one form of the present invention, L$_{1 }$ is preferably a  single bond, a phenylene group, an ether group, a carbonyl  group or a carbonyloxy group, and L$_{2 }$ is preferably an alky› lene group, an ether group, a carbonyl group or a carbonyloxy  group.  The organic group in the organic group containing a fluo› rine atom, represented by Rf is a group having at least one  carbon atom, preferably an organic group containing a car› bon-hydrogen bond moiety. Rfis, for example, an alkyl group  substituted with a fluorine atom, or a cycloalkyl group sub› stituted with a fluorine atom.  It  is preferred for the repeating unit (Aal) in its one form to  be any ofrepeating units of general formulae (aal-2-1) and  (aal-3-1) below.  In general formulae (aal-2-1) and (aal-3-1),  each ofRa$_{1 }$ and Ra$_{2 }$ independently represents a hydrogen  atom or an alkyl group. Each ofRa$_{1 }$ and Ra$_{2 }$ is preferably a  hydrogen atom or a methyl group.  Each ofL$_{21 }$and L$_{22 }$independently represents a single bond  or a bivalent connecting group, and has the same meaning as  that of L$_{2 }$ mentioned above in connection with general for› mula (aal-1).  Each of Rf$_{1 }$ and Rf$_{2 }$ independently represents an organic  group containing a fluorine atom, and has the same meaning  as that of Rf mentioned above in connection with general  formula (aal-1).  It  is preferred for the repeating unit (Aal) in its another  form to be any ofrepeating units of general formulae (aal-2- 2) and (aal-3-2) below.  (aal-1)  (aal-2-1)  (aal-3-1)  (aal-2-2) 