\xycompiled{thesis-03}{2000/5/10:149 [thesis:1167]}{Xy-pic 3.7}%
{\xymatrixnocompile @=.9pc{ 0\ar [d] & 0\ar [d] & 0\ar [d] \\ \sS [I_f]\ar [r]\ar [dd] & \sS \ar [r]\ar [dd]&\Phi _f(\sS )\ar [dd] \\ & & \\ \Hom _\C (S,\C )[I_f]\ar [r]\ar [dd] &\Hom _\C (S,\C )\ar [r]\ar [dd] &\Hom _\C (S[I_f],\C )\ar [dd]\\ & & \\ {\Adual _f}\ar [r]\ar [d] & J_k(N,\eps ) \ar [r]\ar [d]& A_f \ar [d]\\ 0 & 0 & 0 \\ }}\relax 
\xy@{\xymatrix }{\enter@ {\def \noexpand \xy@minX@@ {\xy@minX@@ }\def \noexpand \xy@maxX@@ {\xy@maxX@@ }\def \noexpand \xy@minY@@ {\xy@minY@@ }\def \noexpand \xy@maxY@@ {\xy@maxY@@ }\edef \noexpand \xymatrixprefix@@ {\codeof \xymatrixprefix@@ }}}%
\xy@{}{\save@ \edef \matrixorigin@ {\X@c =\the \X@c \Y@c =\the \Y@c }\edef \xy@minX@@ {\the \X@c }\edef \xy@maxX@@ {\the \X@c }\edef \xy@minY@@ {\the \Y@c }\edef \xy@maxY@@ {\the \Y@c }}%
\xy@{""}{\edef \xymatrixprefix@@ {}}%
\xy@{@}{}%
\xy@{10.79993pt}{}%
\xy@{}{\edef \xymatrixrowsep@ {10.79993pt}\checkZeroEdge@ }%
\xy@{}{\edef \xymatrixcolsep@ {10.79993pt}\checkZeroEdge@ }%
\xy@{}{\matrixorigin@ }%
\xy@{}{\L@c =5.7375pt\R@c =5.7375pt\D@c =6.52832pt\U@c =6.52832pt\Edge@c ={\rectangleEdge }\idfromc@ {1,1}}%
\xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }%
\xy@{}{\dimen@ =9.65376pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =40.9838pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =9.65376pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =32.80275pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@cossign@@ \R@ }%
\xy@{}{\dimen@ =40.9838pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =32.80275pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c \xy@sinsign@@ \R@ }%
\xy@{}{\L@c =5.7375pt\R@c =5.7375pt\D@c =6.52832pt\U@c =6.52832pt\Edge@c ={\rectangleEdge }\idfromc@ {1,2}}%
\xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }%
\xy@{}{\dimen@ =9.65376pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =32.80275pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =9.65376pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =41.28796pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@cossign@@ \R@ }%
\xy@{}{\dimen@ =32.80275pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =41.28796pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c \xy@sinsign@@ \R@ }%
\xy@{}{\L@c =5.7375pt\R@c =5.7375pt\D@c =6.52832pt\U@c =6.52832pt\Edge@c ={\rectangleEdge }\idfromc@ {1,3}}%
\xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }%
\xy@{}{\cfromid@ {1,1}}%
\xy@{}{\dimen@ =6.52832pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =41.28796pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =8.77597pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =41.28796pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixrowsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@sinsign@@ \R@ }%
\xy@{}{\dimen@ =41.28796pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =6.52832pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =41.28796pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =8.77597pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixrowsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c -\xy@cossign@@ \R@ }%
\xy@{}{\L@c =15.38406pt\R@c =15.38406pt\D@c =8.77597pt\U@c =8.77597pt\Edge@c ={\rectangleEdge }\idfromc@ {2,1}}%
\xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }%
\xy@{}{\dimen@ =9.65376pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =40.9838pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =9.65376pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =32.80275pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@cossign@@ \R@ }%
\xy@{}{\dimen@ =40.9838pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =32.80275pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c \xy@sinsign@@ \R@ }%
\xy@{}{\L@c =7.203pt\R@c =7.20302pt\D@c =6.75645pt\U@c =6.75645pt\Edge@c ={\rectangleEdge }\idfromc@ {2,2}}%
\xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }%
\xy@{}{\dimen@ =9.65376pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =32.80275pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =9.65376pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =41.28796pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@cossign@@ \R@ }%
\xy@{}{\dimen@ =32.80275pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =41.28796pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c \xy@sinsign@@ \R@ }%
\xy@{}{\L@c =18.14818pt\R@c =18.1482pt\D@c =8.77597pt\U@c =8.77597pt\Edge@c ={\rectangleEdge }\idfromc@ {2,3}}%
\xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }%
\xy@{}{\cfromid@ {2,1}}%
\xy@{}{\dimen@ =8.77597pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =41.28796pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =3.0pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =41.28796pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixrowsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@sinsign@@ \R@ }%
\xy@{}{\dimen@ =41.28796pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =8.77597pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =41.28796pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =3.0pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixrowsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c -\xy@cossign@@ \R@ }%
\xy@{}{\L@c =3.0pt\R@c =3.0pt\D@c =3.0pt\U@c =3.0pt\Edge@c ={\rectangleEdge }\idfromc@ {3,1}}%
\xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }%
\xy@{}{\dimen@ =9.65376pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =40.9838pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =9.65376pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =32.80275pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@cossign@@ \R@ }%
\xy@{}{\dimen@ =40.9838pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =32.80275pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c \xy@sinsign@@ \R@ }%
\xy@{}{\L@c =3.0pt\R@c =3.0pt\D@c =3.0pt\U@c =3.0pt\Edge@c ={\rectangleEdge }\idfromc@ {3,2}}%
\xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }%
\xy@{}{\dimen@ =9.65376pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =32.80275pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =9.65376pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =41.28796pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@cossign@@ \R@ }%
\xy@{}{\dimen@ =32.80275pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =41.28796pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c \xy@sinsign@@ \R@ }%
\xy@{}{\L@c =3.0pt\R@c =3.0pt\D@c =3.0pt\U@c =3.0pt\Edge@c ={\rectangleEdge }\idfromc@ {3,3}}%
\xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }%
\xy@{}{\cfromid@ {3,1}}%
\xy@{}{\dimen@ =3.0pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =41.28796pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =8.77597pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =41.28796pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixrowsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@sinsign@@ \R@ }%
\xy@{}{\dimen@ =41.28796pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =3.0pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =41.28796pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =8.77597pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixrowsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c -\xy@cossign@@ \R@ }%
\xy@{}{\L@c =40.9838pt\R@c =40.98381pt\D@c =8.77597pt\U@c =8.77597pt\Edge@c ={\rectangleEdge }\idfromc@ {4,1}}%
\xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }%
\xy@{}{\dimen@ =9.65376pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =40.9838pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =9.65376pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =32.80275pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@cossign@@ \R@ }%
\xy@{}{\dimen@ =40.9838pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =32.80275pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c \xy@sinsign@@ \R@ }%
\xy@{}{\L@c =32.80275pt\R@c =32.80275pt\D@c =8.47499pt\U@c =8.47499pt\Edge@c ={\rectangleEdge }\idfromc@ {4,2}}%
\xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }%
\xy@{}{\dimen@ =9.65376pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =32.80275pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =9.65376pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =41.28796pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@cossign@@ \R@ }%
\xy@{}{\dimen@ =32.80275pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =41.28796pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c \xy@sinsign@@ \R@ }%
\xy@{}{\L@c =41.28796pt\R@c =41.28798pt\D@c =8.77597pt\U@c =8.77597pt\Edge@c ={\rectangleEdge }\idfromc@ {4,3}}%
\xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }%
\xy@{}{\cfromid@ {4,1}}%
\xy@{}{\dimen@ =8.77597pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =41.28796pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =3.0pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =41.28796pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixrowsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@sinsign@@ \R@ }%
\xy@{}{\dimen@ =41.28796pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =8.77597pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =41.28796pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =3.0pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixrowsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c -\xy@cossign@@ \R@ }%
\xy@{}{\L@c =3.0pt\R@c =3.0pt\D@c =3.0pt\U@c =3.0pt\Edge@c ={\rectangleEdge }\idfromc@ {5,1}}%
\xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }%
\xy@{}{\dimen@ =9.65376pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =40.9838pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =9.65376pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =32.80275pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@cossign@@ \R@ }%
\xy@{}{\dimen@ =40.9838pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =32.80275pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c \xy@sinsign@@ \R@ }%
\xy@{}{\L@c =3.0pt\R@c =3.0pt\D@c =3.0pt\U@c =3.0pt\Edge@c ={\rectangleEdge }\idfromc@ {5,2}}%
\xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }%
\xy@{}{\dimen@ =9.65376pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =32.80275pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =9.65376pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =41.28796pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@cossign@@ \R@ }%
\xy@{}{\dimen@ =32.80275pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =41.28796pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c \xy@sinsign@@ \R@ }%
\xy@{}{\L@c =3.0pt\R@c =3.0pt\D@c =3.0pt\U@c =3.0pt\Edge@c ={\rectangleEdge }\idfromc@ {5,3}}%
\xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }%
\xy@{}{\cfromid@ {5,1}}%
\xy@{}{\dimen@ =3.0pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =41.28796pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =9.65376pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =41.28796pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixrowsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@sinsign@@ \R@ }%
\xy@{}{\dimen@ =41.28796pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =3.0pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =41.28796pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixrowsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c -\xy@cossign@@ \R@ }%
\xy@{}{\L@c =10.18962pt\R@c =10.18964pt\D@c =9.65376pt\U@c =9.65376pt\Edge@c ={\rectangleEdge }\idfromc@ {6,1}}%
\xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }%
\xy@{}{\dimen@ =9.65376pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =40.9838pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =9.65376pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =32.80275pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@cossign@@ \R@ }%
\xy@{}{\dimen@ =40.9838pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =32.80275pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c \xy@sinsign@@ \R@ }%
\xy@{}{\L@c =22.54193pt\R@c =22.54195pt\D@c =8.47499pt\U@c =8.47499pt\Edge@c ={\rectangleEdge }\idfromc@ {6,2}}%
\xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }%
\xy@{}{\dimen@ =9.65376pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =32.80275pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =9.65376pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =41.28796pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@cossign@@ \R@ }%
\xy@{}{\dimen@ =32.80275pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =41.28796pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c \xy@sinsign@@ \R@ }%
\xy@{}{\L@c =9.83891pt\R@c =9.83891pt\D@c =8.41096pt\U@c =8.41096pt\Edge@c ={\rectangleEdge }\idfromc@ {6,3}}%
\xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }%
\xy@{}{\cfromid@ {6,1}}%
\xy@{}{\dimen@ =9.65376pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =41.28796pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =6.52832pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =41.28796pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixrowsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@sinsign@@ \R@ }%
\xy@{}{\dimen@ =41.28796pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =41.28796pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =6.52832pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixrowsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c -\xy@cossign@@ \R@ }%
\xy@{}{\L@c =5.7375pt\R@c =5.7375pt\D@c =6.52832pt\U@c =6.52832pt\Edge@c ={\rectangleEdge }\idfromc@ {7,1}}%
\xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }%
\xy@{}{\dimen@ =9.65376pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =40.9838pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =9.65376pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =32.80275pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@cossign@@ \R@ }%
\xy@{}{\dimen@ =40.9838pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =32.80275pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c \xy@sinsign@@ \R@ }%
\xy@{}{\L@c =5.7375pt\R@c =5.7375pt\D@c =6.52832pt\U@c =6.52832pt\Edge@c ={\rectangleEdge }\idfromc@ {7,2}}%
\xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }%
\xy@{}{\dimen@ =9.65376pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =32.80275pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =9.65376pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =41.28796pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@cossign@@ \R@ }%
\xy@{}{\dimen@ =32.80275pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =41.28796pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =9.65376pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }%
\xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c \xy@sinsign@@ \R@ }%
\xy@{}{\L@c =5.7375pt\R@c =5.7375pt\D@c =6.52832pt\U@c =6.52832pt\Edge@c ={\rectangleEdge }\idfromc@ {7,3}}%
\xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }%
\xy@{}{\ifx \xymatrixsavedCOORD@ \relax \enter@ {\noexpand \let \noexpand \COORD@ \noexpand \xymatrixsavedCOORD@ }\let \xymatrixsavedCOORD@ =\COORD@ \let \COORD@ =\xymatrixCOORD@ \else \enter@ {}\fi }%
\xy@{ENTRY "1,1"}{\Row =1 \Col =1\relax \cfromid@ {1,1}\pfromc@ }%
\xy@@ix@{{\entrybox }{0\ar [d] }}\relax 
\xy@{}{\expandafter \dropentry@ \the \toks 9}%
\xy@{\save }{\save@ }%
\xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}%
\xy@{~={\preconnect \dir {-}}}{}%
\xy@{~/{}}{}%
\xy@{~<{|<*h\dir {}}}{}%
\xy@{~>{|>*h\dir {>}}}{}%
\xy@{~+{}}{}%
\xy@{}{\pfromc@ }%
\xy@{[d]}{\def \thematrixCOORD@@ {[d]}}%
\xy@{}{\expandafter \let \expandafter \next@ \csname Q@2,1\endcsname \ifx \next@ \relax \xyerror@RC {2,1}\else \next@ \fi }%
\xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }%
\xy@{PATHaction={\preconnect \dir {-}}}{}%
\xy@@ix@{{\dir }{-}}\relax 
\xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{}}\relax 
\xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{>}}\relax 
\xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{}{\Clast@@ }%
\xy@{}{\setupDirection@ }%
\xy@{PATHaction/{}}{}%
\xy@{\restore }{\leave@ }%
\xy@{ENTRY "1,2"}{\Row =1 \Col =2\relax \cfromid@ {1,2}\pfromc@ }%
\xy@@ix@{{\entrybox }{0\ar [d] }}\relax 
\xy@{}{\expandafter \dropentry@ \the \toks 9}%
\xy@{\save }{\save@ }%
\xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}%
\xy@{~={\preconnect \dir {-}}}{}%
\xy@{~/{}}{}%
\xy@{~<{|<*h\dir {}}}{}%
\xy@{~>{|>*h\dir {>}}}{}%
\xy@{~+{}}{}%
\xy@{}{\pfromc@ }%
\xy@{[d]}{\def \thematrixCOORD@@ {[d]}}%
\xy@{}{\expandafter \let \expandafter \next@ \csname Q@2,2\endcsname \ifx \next@ \relax \xyerror@RC {2,2}\else \next@ \fi }%
\xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }%
\xy@{PATHaction={\preconnect \dir {-}}}{}%
\xy@@ix@{{\dir }{-}}\relax 
\xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{}}\relax 
\xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{>}}\relax 
\xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{}{\Clast@@ }%
\xy@{}{\setupDirection@ }%
\xy@{PATHaction/{}}{}%
\xy@{\restore }{\leave@ }%
\xy@{ENTRY "1,3"}{\Row =1 \Col =3\relax \cfromid@ {1,3}\pfromc@ }%
\xy@@ix@{{\entrybox }{0\ar [d] }}\relax 
\xy@{}{\expandafter \dropentry@ \the \toks 9}%
\xy@{\save }{\save@ }%
\xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}%
\xy@{~={\preconnect \dir {-}}}{}%
\xy@{~/{}}{}%
\xy@{~<{|<*h\dir {}}}{}%
\xy@{~>{|>*h\dir {>}}}{}%
\xy@{~+{}}{}%
\xy@{}{\pfromc@ }%
\xy@{[d]}{\def \thematrixCOORD@@ {[d]}}%
\xy@{}{\expandafter \let \expandafter \next@ \csname Q@2,3\endcsname \ifx \next@ \relax \xyerror@RC {2,3}\else \next@ \fi }%
\xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }%
\xy@{PATHaction={\preconnect \dir {-}}}{}%
\xy@@ix@{{\dir }{-}}\relax 
\xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{}}\relax 
\xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{>}}\relax 
\xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{}{\Clast@@ }%
\xy@{}{\setupDirection@ }%
\xy@{PATHaction/{}}{}%
\xy@{\restore }{\leave@ }%
\xy@{ENTRY "2,1"}{\Row =2 \Col =1\relax \cfromid@ {2,1}\pfromc@ }%
\xy@@ix@{{\entrybox }{\protect \boldsymbol  {\mathcal {S}}[I_f]\ar [r]\ar [dd] }}\relax 
\xy@{}{\expandafter \dropentry@ \the \toks 9}%
\xy@{\save }{\save@ }%
\xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}%
\xy@{~={\preconnect \dir {-}}}{}%
\xy@{~/{}}{}%
\xy@{~<{|<*h\dir {}}}{}%
\xy@{~>{|>*h\dir {>}}}{}%
\xy@{~+{}}{}%
\xy@{}{\pfromc@ }%
\xy@{[r]}{\def \thematrixCOORD@@ {[r]}}%
\xy@{}{\expandafter \let \expandafter \next@ \csname Q@2,2\endcsname \ifx \next@ \relax \xyerror@RC {2,2}\else \next@ \fi }%
\xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }%
\xy@{PATHaction={\preconnect \dir {-}}}{}%
\xy@@ix@{{\dir }{-}}\relax 
\xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{}}\relax 
\xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{>}}\relax 
\xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{}{\Clast@@ }%
\xy@{}{\setupDirection@ }%
\xy@{PATHaction/{}}{}%
\xy@{\restore }{\leave@ }%
\xy@{\save }{\save@ }%
\xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}%
\xy@{~={\preconnect \dir {-}}}{}%
\xy@{~/{}}{}%
\xy@{~<{|<*h\dir {}}}{}%
\xy@{~>{|>*h\dir {>}}}{}%
\xy@{~+{}}{}%
\xy@{}{\pfromc@ }%
\xy@{[dd]}{\def \thematrixCOORD@@ {[dd]}}%
\xy@{}{\expandafter \let \expandafter \next@ \csname Q@4,1\endcsname \ifx \next@ \relax \xyerror@RC {4,1}\else \next@ \fi }%
\xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }%
\xy@{PATHaction={\preconnect \dir {-}}}{}%
\xy@@ix@{{\dir }{-}}\relax 
\xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{}}\relax 
\xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{>}}\relax 
\xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{}{\Clast@@ }%
\xy@{}{\setupDirection@ }%
\xy@{PATHaction/{}}{}%
\xy@{\restore }{\leave@ }%
\xy@{ENTRY "2,2"}{\Row =2 \Col =2\relax \cfromid@ {2,2}\pfromc@ }%
\xy@@ix@{{\entrybox }{\protect \boldsymbol  {\mathcal {S}}\ar [r]\ar [dd]}}\relax 
\xy@{}{\expandafter \dropentry@ \the \toks 9}%
\xy@{\save }{\save@ }%
\xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}%
\xy@{~={\preconnect \dir {-}}}{}%
\xy@{~/{}}{}%
\xy@{~<{|<*h\dir {}}}{}%
\xy@{~>{|>*h\dir {>}}}{}%
\xy@{~+{}}{}%
\xy@{}{\pfromc@ }%
\xy@{[r]}{\def \thematrixCOORD@@ {[r]}}%
\xy@{}{\expandafter \let \expandafter \next@ \csname Q@2,3\endcsname \ifx \next@ \relax \xyerror@RC {2,3}\else \next@ \fi }%
\xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }%
\xy@{PATHaction={\preconnect \dir {-}}}{}%
\xy@@ix@{{\dir }{-}}\relax 
\xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{}}\relax 
\xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{>}}\relax 
\xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{}{\Clast@@ }%
\xy@{}{\setupDirection@ }%
\xy@{PATHaction/{}}{}%
\xy@{\restore }{\leave@ }%
\xy@{\save }{\save@ }%
\xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}%
\xy@{~={\preconnect \dir {-}}}{}%
\xy@{~/{}}{}%
\xy@{~<{|<*h\dir {}}}{}%
\xy@{~>{|>*h\dir {>}}}{}%
\xy@{~+{}}{}%
\xy@{}{\pfromc@ }%
\xy@{[dd]}{\def \thematrixCOORD@@ {[dd]}}%
\xy@{}{\expandafter \let \expandafter \next@ \csname Q@4,2\endcsname \ifx \next@ \relax \xyerror@RC {4,2}\else \next@ \fi }%
\xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }%
\xy@{PATHaction={\preconnect \dir {-}}}{}%
\xy@@ix@{{\dir }{-}}\relax 
\xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{}}\relax 
\xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{>}}\relax 
\xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{}{\Clast@@ }%
\xy@{}{\setupDirection@ }%
\xy@{PATHaction/{}}{}%
\xy@{\restore }{\leave@ }%
\xy@{ENTRY "2,3"}{\Row =2 \Col =3\relax \cfromid@ {2,3}\pfromc@ }%
\xy@@ix@{{\entrybox }{\Phi _f(\sS )\ar [dd] }}\relax 
\xy@{}{\expandafter \dropentry@ \the \toks 9}%
\xy@{\save }{\save@ }%
\xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}%
\xy@{~={\preconnect \dir {-}}}{}%
\xy@{~/{}}{}%
\xy@{~<{|<*h\dir {}}}{}%
\xy@{~>{|>*h\dir {>}}}{}%
\xy@{~+{}}{}%
\xy@{}{\pfromc@ }%
\xy@{[dd]}{\def \thematrixCOORD@@ {[dd]}}%
\xy@{}{\expandafter \let \expandafter \next@ \csname Q@4,3\endcsname \ifx \next@ \relax \xyerror@RC {4,3}\else \next@ \fi }%
\xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }%
\xy@{PATHaction={\preconnect \dir {-}}}{}%
\xy@@ix@{{\dir }{-}}\relax 
\xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{}}\relax 
\xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{>}}\relax 
\xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{}{\Clast@@ }%
\xy@{}{\setupDirection@ }%
\xy@{PATHaction/{}}{}%
\xy@{\restore }{\leave@ }%
\xy@{ENTRY "3,1"}{\Row =3 \Col =1\relax \cfromid@ {3,1}\pfromc@ }%
\xy@@ix@{{\entrybox }{}}\relax 
\xy@{}{\expandafter \dropentry@ \the \toks 9}%
\xy@{ENTRY "3,2"}{\Row =3 \Col =2\relax \cfromid@ {3,2}\pfromc@ }%
\xy@@ix@{{\entrybox }{}}\relax 
\xy@{}{\expandafter \dropentry@ \the \toks 9}%
\xy@{ENTRY "3,3"}{\Row =3 \Col =3\relax \cfromid@ {3,3}\pfromc@ }%
\xy@@ix@{{\entrybox }{}}\relax 
\xy@{}{\expandafter \dropentry@ \the \toks 9}%
\xy@{ENTRY "4,1"}{\Row =4 \Col =1\relax \cfromid@ {4,1}\pfromc@ }%
\xy@@ix@{{\entrybox }{\protect \Hom  _\C (S,\C )[I_f]\ar [r]\ar [dd] }}\relax 
\xy@{}{\expandafter \dropentry@ \the \toks 9}%
\xy@{\save }{\save@ }%
\xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}%
\xy@{~={\preconnect \dir {-}}}{}%
\xy@{~/{}}{}%
\xy@{~<{|<*h\dir {}}}{}%
\xy@{~>{|>*h\dir {>}}}{}%
\xy@{~+{}}{}%
\xy@{}{\pfromc@ }%
\xy@{[r]}{\def \thematrixCOORD@@ {[r]}}%
\xy@{}{\expandafter \let \expandafter \next@ \csname Q@4,2\endcsname \ifx \next@ \relax \xyerror@RC {4,2}\else \next@ \fi }%
\xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }%
\xy@{PATHaction={\preconnect \dir {-}}}{}%
\xy@@ix@{{\dir }{-}}\relax 
\xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{}}\relax 
\xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{>}}\relax 
\xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{}{\Clast@@ }%
\xy@{}{\setupDirection@ }%
\xy@{PATHaction/{}}{}%
\xy@{\restore }{\leave@ }%
\xy@{\save }{\save@ }%
\xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}%
\xy@{~={\preconnect \dir {-}}}{}%
\xy@{~/{}}{}%
\xy@{~<{|<*h\dir {}}}{}%
\xy@{~>{|>*h\dir {>}}}{}%
\xy@{~+{}}{}%
\xy@{}{\pfromc@ }%
\xy@{[dd]}{\def \thematrixCOORD@@ {[dd]}}%
\xy@{}{\expandafter \let \expandafter \next@ \csname Q@6,1\endcsname \ifx \next@ \relax \xyerror@RC {6,1}\else \next@ \fi }%
\xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }%
\xy@{PATHaction={\preconnect \dir {-}}}{}%
\xy@@ix@{{\dir }{-}}\relax 
\xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{}}\relax 
\xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{>}}\relax 
\xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{}{\Clast@@ }%
\xy@{}{\setupDirection@ }%
\xy@{PATHaction/{}}{}%
\xy@{\restore }{\leave@ }%
\xy@{ENTRY "4,2"}{\Row =4 \Col =2\relax \cfromid@ {4,2}\pfromc@ }%
\xy@@ix@{{\entrybox }{\protect \Hom  _\C (S,\C )\ar [r]\ar [dd] }}\relax 
\xy@{}{\expandafter \dropentry@ \the \toks 9}%
\xy@{\save }{\save@ }%
\xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}%
\xy@{~={\preconnect \dir {-}}}{}%
\xy@{~/{}}{}%
\xy@{~<{|<*h\dir {}}}{}%
\xy@{~>{|>*h\dir {>}}}{}%
\xy@{~+{}}{}%
\xy@{}{\pfromc@ }%
\xy@{[r]}{\def \thematrixCOORD@@ {[r]}}%
\xy@{}{\expandafter \let \expandafter \next@ \csname Q@4,3\endcsname \ifx \next@ \relax \xyerror@RC {4,3}\else \next@ \fi }%
\xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }%
\xy@{PATHaction={\preconnect \dir {-}}}{}%
\xy@@ix@{{\dir }{-}}\relax 
\xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{}}\relax 
\xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{>}}\relax 
\xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{}{\Clast@@ }%
\xy@{}{\setupDirection@ }%
\xy@{PATHaction/{}}{}%
\xy@{\restore }{\leave@ }%
\xy@{\save }{\save@ }%
\xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}%
\xy@{~={\preconnect \dir {-}}}{}%
\xy@{~/{}}{}%
\xy@{~<{|<*h\dir {}}}{}%
\xy@{~>{|>*h\dir {>}}}{}%
\xy@{~+{}}{}%
\xy@{}{\pfromc@ }%
\xy@{[dd]}{\def \thematrixCOORD@@ {[dd]}}%
\xy@{}{\expandafter \let \expandafter \next@ \csname Q@6,2\endcsname \ifx \next@ \relax \xyerror@RC {6,2}\else \next@ \fi }%
\xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }%
\xy@{PATHaction={\preconnect \dir {-}}}{}%
\xy@@ix@{{\dir }{-}}\relax 
\xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{}}\relax 
\xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{>}}\relax 
\xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{}{\Clast@@ }%
\xy@{}{\setupDirection@ }%
\xy@{PATHaction/{}}{}%
\xy@{\restore }{\leave@ }%
\xy@{ENTRY "4,3"}{\Row =4 \Col =3\relax \cfromid@ {4,3}\pfromc@ }%
\xy@@ix@{{\entrybox }{\protect \Hom  _\C (S[I_f],\C )\ar [dd]}}\relax 
\xy@{}{\expandafter \dropentry@ \the \toks 9}%
\xy@{\save }{\save@ }%
\xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}%
\xy@{~={\preconnect \dir {-}}}{}%
\xy@{~/{}}{}%
\xy@{~<{|<*h\dir {}}}{}%
\xy@{~>{|>*h\dir {>}}}{}%
\xy@{~+{}}{}%
\xy@{}{\pfromc@ }%
\xy@{[dd]}{\def \thematrixCOORD@@ {[dd]}}%
\xy@{}{\expandafter \let \expandafter \next@ \csname Q@6,3\endcsname \ifx \next@ \relax \xyerror@RC {6,3}\else \next@ \fi }%
\xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }%
\xy@{PATHaction={\preconnect \dir {-}}}{}%
\xy@@ix@{{\dir }{-}}\relax 
\xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{}}\relax 
\xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{>}}\relax 
\xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{}{\Clast@@ }%
\xy@{}{\setupDirection@ }%
\xy@{PATHaction/{}}{}%
\xy@{\restore }{\leave@ }%
\xy@{ENTRY "5,1"}{\Row =5 \Col =1\relax \cfromid@ {5,1}\pfromc@ }%
\xy@@ix@{{\entrybox }{}}\relax 
\xy@{}{\expandafter \dropentry@ \the \toks 9}%
\xy@{ENTRY "5,2"}{\Row =5 \Col =2\relax \cfromid@ {5,2}\pfromc@ }%
\xy@@ix@{{\entrybox }{}}\relax 
\xy@{}{\expandafter \dropentry@ \the \toks 9}%
\xy@{ENTRY "5,3"}{\Row =5 \Col =3\relax \cfromid@ {5,3}\pfromc@ }%
\xy@@ix@{{\entrybox }{}}\relax 
\xy@{}{\expandafter \dropentry@ \the \toks 9}%
\xy@{ENTRY "6,1"}{\Row =6 \Col =1\relax \cfromid@ {6,1}\pfromc@ }%
\xy@@ix@{{\entrybox }{{\Adual _f}\ar [r]\ar [d] }}\relax 
\xy@{}{\expandafter \dropentry@ \the \toks 9}%
\xy@{\save }{\save@ }%
\xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}%
\xy@{~={\preconnect \dir {-}}}{}%
\xy@{~/{}}{}%
\xy@{~<{|<*h\dir {}}}{}%
\xy@{~>{|>*h\dir {>}}}{}%
\xy@{~+{}}{}%
\xy@{}{\pfromc@ }%
\xy@{[r]}{\def \thematrixCOORD@@ {[r]}}%
\xy@{}{\expandafter \let \expandafter \next@ \csname Q@6,2\endcsname \ifx \next@ \relax \xyerror@RC {6,2}\else \next@ \fi }%
\xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }%
\xy@{PATHaction={\preconnect \dir {-}}}{}%
\xy@@ix@{{\dir }{-}}\relax 
\xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{}}\relax 
\xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{>}}\relax 
\xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{}{\Clast@@ }%
\xy@{}{\setupDirection@ }%
\xy@{PATHaction/{}}{}%
\xy@{\restore }{\leave@ }%
\xy@{\save }{\save@ }%
\xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}%
\xy@{~={\preconnect \dir {-}}}{}%
\xy@{~/{}}{}%
\xy@{~<{|<*h\dir {}}}{}%
\xy@{~>{|>*h\dir {>}}}{}%
\xy@{~+{}}{}%
\xy@{}{\pfromc@ }%
\xy@{[d]}{\def \thematrixCOORD@@ {[d]}}%
\xy@{}{\expandafter \let \expandafter \next@ \csname Q@7,1\endcsname \ifx \next@ \relax \xyerror@RC {7,1}\else \next@ \fi }%
\xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }%
\xy@{PATHaction={\preconnect \dir {-}}}{}%
\xy@@ix@{{\dir }{-}}\relax 
\xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{}}\relax 
\xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{>}}\relax 
\xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{}{\Clast@@ }%
\xy@{}{\setupDirection@ }%
\xy@{PATHaction/{}}{}%
\xy@{\restore }{\leave@ }%
\xy@{ENTRY "6,2"}{\Row =6 \Col =2\relax \cfromid@ {6,2}\pfromc@ }%
\xy@@ix@{{\entrybox }{J_k(N,\eps ) \ar [r]\ar [d]}}\relax 
\xy@{}{\expandafter \dropentry@ \the \toks 9}%
\xy@{\save }{\save@ }%
\xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}%
\xy@{~={\preconnect \dir {-}}}{}%
\xy@{~/{}}{}%
\xy@{~<{|<*h\dir {}}}{}%
\xy@{~>{|>*h\dir {>}}}{}%
\xy@{~+{}}{}%
\xy@{}{\pfromc@ }%
\xy@{[r]}{\def \thematrixCOORD@@ {[r]}}%
\xy@{}{\expandafter \let \expandafter \next@ \csname Q@6,3\endcsname \ifx \next@ \relax \xyerror@RC {6,3}\else \next@ \fi }%
\xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }%
\xy@{PATHaction={\preconnect \dir {-}}}{}%
\xy@@ix@{{\dir }{-}}\relax 
\xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{}}\relax 
\xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{>}}\relax 
\xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{}{\Clast@@ }%
\xy@{}{\setupDirection@ }%
\xy@{PATHaction/{}}{}%
\xy@{\restore }{\leave@ }%
\xy@{\save }{\save@ }%
\xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}%
\xy@{~={\preconnect \dir {-}}}{}%
\xy@{~/{}}{}%
\xy@{~<{|<*h\dir {}}}{}%
\xy@{~>{|>*h\dir {>}}}{}%
\xy@{~+{}}{}%
\xy@{}{\pfromc@ }%
\xy@{[d]}{\def \thematrixCOORD@@ {[d]}}%
\xy@{}{\expandafter \let \expandafter \next@ \csname Q@7,2\endcsname \ifx \next@ \relax \xyerror@RC {7,2}\else \next@ \fi }%
\xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }%
\xy@{PATHaction={\preconnect \dir {-}}}{}%
\xy@@ix@{{\dir }{-}}\relax 
\xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{}}\relax 
\xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{>}}\relax 
\xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{}{\Clast@@ }%
\xy@{}{\setupDirection@ }%
\xy@{PATHaction/{}}{}%
\xy@{\restore }{\leave@ }%
\xy@{ENTRY "6,3"}{\Row =6 \Col =3\relax \cfromid@ {6,3}\pfromc@ }%
\xy@@ix@{{\entrybox }{A_f \ar [d]}}\relax 
\xy@{}{\expandafter \dropentry@ \the \toks 9}%
\xy@{\save }{\save@ }%
\xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}%
\xy@{~={\preconnect \dir {-}}}{}%
\xy@{~/{}}{}%
\xy@{~<{|<*h\dir {}}}{}%
\xy@{~>{|>*h\dir {>}}}{}%
\xy@{~+{}}{}%
\xy@{}{\pfromc@ }%
\xy@{[d]}{\def \thematrixCOORD@@ {[d]}}%
\xy@{}{\expandafter \let \expandafter \next@ \csname Q@7,3\endcsname \ifx \next@ \relax \xyerror@RC {7,3}\else \next@ \fi }%
\xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }%
\xy@{PATHaction={\preconnect \dir {-}}}{}%
\xy@@ix@{{\dir }{-}}\relax 
\xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{}}\relax 
\xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{|}{}%
\xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }%
\xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }%
\xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }%
\xy@{}{\leave@ }%
\xy@@ix@{{!Ch\dir }{>}}\relax 
\xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }%
\xy@{}{\Cbreak@@ }%
\xy@{}{\Clast@@ }%
\xy@{}{\setupDirection@ }%
\xy@{PATHaction/{}}{}%
\xy@{\restore }{\leave@ }%
\xy@{ENTRY "7,1"}{\Row =7 \Col =1\relax \cfromid@ {7,1}\pfromc@ }%
\xy@@ix@{{\entrybox }{0 }}\relax 
\xy@{}{\expandafter \dropentry@ \the \toks 9}%
\xy@{ENTRY "7,2"}{\Row =7 \Col =2\relax \cfromid@ {7,2}\pfromc@ }%
\xy@@ix@{{\entrybox }{0 }}\relax 
\xy@{}{\expandafter \dropentry@ \the \toks 9}%
\xy@{ENTRY "7,3"}{\Row =7 \Col =3\relax \cfromid@ {7,3}\pfromc@ }%
\xy@@ix@{{\entrybox }{0 }}\relax 
\xy@{}{\expandafter \dropentry@ \the \toks 9}%
\xy@{}{\leave@ }%
\xy@{}{}%
\xy@{\restore }{\leave@ }%
\xy@{}{\edef \nextii@ {{\xy@minX@@ }{\xy@maxX@@ }{\xy@minY@@ }{\xy@maxY@@ }}\expandafter \xymatrix@insert@ \nextii@ }%
\xy@{}{\leave@ }%
\xyendcompiled