n=2$.
In \cite{Dobsutt}  we have given explicitly the reduced for $n=3$.


The main multiplet ~$R^4$~ contains 70 ERs/GVMs whose
signatures can be given in the following pair-wise manner:
\eqnn{tablf}
&&\chi_0^\pm ~=~ \{\, (
 m_1,
 m_2,
 m_3,
 m_5,
 m_6,
 m_7)^\pm\,;\,\pm  m_\r \,\} \\
&&\chi_{00}^\pm ~=~ \{\, (
 m_1,
 m_2,
 m_{34},
 m_{45},
 m_6,
 m_7)^\pm\,;\,\pm ( m_\r - m_{4}) \,\} \cr
&&\chi_{10}^\pm ~=~ \{\, (
 m_1,
 m_{23},
 m_{4},
 m_{35},
 m_6,
 m_7)^\pm\,;\,\pm ( m_\r - m_{34}) \,\} \cr
 &&\chi_{01}^\pm ~=~ \{\, (
 m_1,
 m_{2},
 m_{35},
 m_{4},
 m_{56},
 m_7)^\pm\,;\,\pm  ( m_\r - m_{45}) \,\} \cr
&&\chi_{20}^\pm ~=~ \{\, (
 m_{12},
 m_{3},
 m_{4},
 m_{25},
 m_6,
 m_7)^\pm\,;\,\pm  (m_\r-m_{24})\,\} \cr
&&\chi_{11}^\pm ~=~ \{\, (
 m_1,
 m_{23},
 m_{45},
 m_{34},
 m_{56},
 m_7)^\pm\,;\,\pm (m_\r -m_{35})\,\} \cr
&&\chi_{02}^\pm ~=~ \{\, (
 m_1,
 m_{2},
 m_{36},
 m_{4},
 m_{5},
 m_{67})^\pm\,;\,\pm  (m_\r-m_{46})\,\} \cr
 &&\chi_{30}^\pm ~=~ \{\, (
 m_{2},
 m_{3},
 m_{4},
 m_{15},
 m_6,
 m_7)^\pm\,;\,\pm  (m_\r  -m_{14} )\,\} \cr
&&\chi_{21}^\pm ~=~ \{\, (
 m_{12},
 m_{3},
 m_{45},
 m_{24},
 m_{56},
 m_7)^\pm\,;\,\pm  (m_\r-m_{25})\,\} \cr
&&\chi_{12}^\pm ~=~ \{\, (
 m_1,
 m_{23},
 m_{46},
 m_{34},
 m_{5},
 m_{67})^\pm\,;\,\pm  (m_\r-m_{36}) \,\} \cr
 &&\chi_{03}^\pm ~=~ \{\, (
 m_1,
 m_{2},
 m_{37},
 m_{4},
 m_{5},
 m_{6})^\pm\,;\,\pm  (m_\r-m_{47})  \,\} \cr
&&\chi_{31}^\pm ~=~ \{\, (
 m_{2},
 m_{3},
 m_{45},
 m_{14},
 m_{56},
 m_7)^\pm\,;\,\pm  (m_\r -m_{15} ) \,\} \cr
&&\chi_{22}^\pm ~=~ \{\, (
 m_{12},
 m_{3},
 m_{46},
 m_{24},
 m_{5},
 m_{67})^\pm\,;\,\pm  (m_\r-m_{26}) \,\} \cr
&&\chi_{13}^\pm ~=~ \{\, (
 m_1,
 m_{23},
 m_{47},
 m_{34},
 m_{5},
 m_{6})^\pm\,;\,\pm   (m_\r-m_{37})\,\} \cr
 &&\chi_{32}^\pm ~=~ \{\, (
 m_{2},
 m_{3},
 m_{46},
 m_{14},
 m_{5},
 m_{67})^\pm\,;\,\pm  (m_\r -m_{16}) \,\} \cr
&&\chi_{23}^\pm ~=~ \{\, (
 m_{12},
 m_{3},
 m_{47},
 m_{24},
 m_{5},
 m_{6})^\pm\,;\,\pm  (m_\r-m_{27}) \,\} \cr
&&\chi_{33}^\pm ~=~ \{\, (
 m_{2},
 m_{3},
 m_{47},
 m_{14},
 m_{5},
 m_{6})^\pm\,;\, \pm  (m_\r-m_{17})    \,\} \cr
&&\chi_{00}'^\pm ~=~ \{\, (
 m_1,
 m_{24},
 m_{5},
 m_{3},
 m_{46},
 m_7)^\pm\,;\,\pm  (m_\r-m_{35}-m_{4}) \,\} \cr
&&\chi_{10}'^\pm ~=~ \{\, (
 m_{12},
 m_{34},
 m_{5},
 m_{23},
 m_{46},
 m_7)^\pm\,;\,\pm  (m_\r-m_{25}-m_{4})  \,\} \cr
&&\chi_{01}'^\pm ~=~ \{\, (
 m_1,
 m_{24},
 m_{56},
 m_{3},
 m_{45},
 m_{67})^\pm\,;\,\pm  (m_\r-m_{36}-m_{4}) \,\} \cr
&&\chi_{20}'^\pm ~=~ \{\, (
 m_{2},
 m_{34},
 m_{5},
 m_{13},
 m_{46},
 m_7)^\pm\,;\,\pm  (m_\r -m_{15}-m_{4})  \,\} \cr
&&\chi_{11}'^\pm ~=~ \{\, (
 m_{12},
 m_{34},
 m_{56},
 m_{23},
 m_{45},
 m_{67})^\pm\,;\,\pm  (m_\r-m_{26}-m_{4})  \,\} \cr
&&\chi_{02}'^\pm ~=~ \{\, (
 m_1,
 m_{24},
 m_{57},
 m_{3},
 m_{45},
 m_{6})^\pm\,;\,\pm  (m_\r-m_{37}-m_{4}) \,\} \cr
&&\chi_{20}''^\pm ~=~ \{\, (
 m_{13},
 m_{4},
 m_{5},
 m_{2},
 m_{36},
 m_7)^\pm\,;\,\pm (m_\r-m_{25}-m_{34})   \,\} \cr
&&\chi_{21}''^\pm ~=~ \{\, (
 m_{13},
 m_{4},
 m_{56},
 m_{2},
 m_{35},
 m_{67})^\pm\,;\,\pm (m_\r-m_{26}-m_{34})  \,\} \cr
&&\chi_{12}''^\pm ~=~ \{\, (
 m_{12},
 m_{35},
 m_{6},
 m_{23},
 m_{4},
 m_{57})^\pm\,;\,\pm (m_\r-m_{26}-m_{45}) \,\} \cr
&&\chi_{02}''^\pm ~=~ \{\, (
 m_{1},
 m_{25},
 m_{6},
 m_{3},
 m_{4},
 m_{57})^\pm\,;\,\pm  (m_\r-m_{36}-m_{45}) \,\} \cr
&&\chi_{30}'^\pm ~=~ \{\, (
 m_{23},
 m_{4},
 m_{5},
 m_{12},
 m_{36},
 m_7)^\pm\,;\,\pm  (m_\r -m_{15}-m_{34}) \,\} \cr
&&\chi_{21}'^\pm ~=~ \{\, (
 m_{2},
 m_{34},
 m_{56},
 m_{13},
 m_{45},
 m_{67})^\pm\,;\,\pm (m_\r -m_{16} - m_{4})  \,\} \cr
&&\chi_{12}'^\pm ~=~ \{\, (
 m_{12},
 m_{34},
 m_{57},
 m_{23},
 m_{45},
 m_{6})^\pm\,;\,\pm  (m_\r-m_{27}-m_{4}) \,\} \cr
