{{{{0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 1}, 
 {{{2, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0}}, 2}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}}, 3}, 
 {{{1, 0, 0, 0, 1/2, 1/2, 0, 0, 0}, {0, 1/2, 1/2, 1, 0, 0, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1/2, 0, 1/2, 0, 0, 0}, 
   {0, 1/2, 1/2, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1/2, 1/2, 0, 0, 0, 0}}, 4}, 
 {{{0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0}}, 5}, 
 {{{1, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0}}, 6}, 
 {{{1/2, 0, 1/2, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 1/2, 0, 0}, 
   {1/2, 1/2, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 1/2, 0, 0}, 
   {1, 0, 0, 0, 0, 0, 1/2, 0, 0}, {0, 1/2, 1/2, 0, 0, 0, 0, 1, 1}}, 7}, 
 {{{0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 1, 0, 0, 0, 1, 0, 0}, 
   {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0}}, 8}, 
 {{{0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0}}, 9}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
   {0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0}}, 10}, 
 {{{0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0}, 
   {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}}, 11}, 
 {{{0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0}, 
   {0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 12}, 
 {{{1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 1}}, 13}, 
 {{{2/3, 2/3, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 2/3, 1/3, 1/3, 0, 1/3, 0, 1/3}, 
   {0, 0, 2/3, 1/3, 0, 1/3, 1/3, 1/3, 0}, {2/3, 2/3, 0, 0, 1, 0, 0, 0, 1}, 
   {0, 0, 0, 0, 1/3, 1/3, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1/3, 1/3}}, 14}, 
 {{{0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
   {0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}}, 15}, 
 {{{0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
   {0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
   {0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1}}, 16}, 
 {{{0, 0, 2/3, 0, 2/3, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2/3, 0, 2/3, 0}, 
   {2/3, 2/3, 0, 1/3, 1/3, 0, 1/3, 0, 1/3}, {0, 0, 0, 2/3, 0, 1, 0, 1/3, 0}, 
   {0, 0, 0, 1/3, 1, 0, 0, 1/3, 0}, {0, 0, 0, 0, 0, 1/3, 1, 0, 1}}, 17}, 
 {{{0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0}, 
   {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 1}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 18}, 
 {{{0, 1/3, 1/3, 1/3, 0, 1/3, 0, 2/3, 2/3}, {1, 0, 0, 0, 1, 0, 2/3, 0, 0}, 
   {1/3, 1/3, 0, 0, 1/3, 1/3, 0, 2/3, 2/3}, {0, 0, 1, 1, 0, 0, 2/3, 0, 0}, 
   {0, 1, 0, 1/3, 1/3, 0, 0, 0, 0}, {1/3, 0, 1/3, 0, 0, 1, 0, 0, 0}}, 19}, 
 {{{1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1}, 
   {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
   {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}}, 20}, 
 {{{0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
   {0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
   {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}}, 21}, 
 {{{0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
   {1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
   {0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0}}, 22}, 
 {{{0, 2/3, 2/3, 0, 0, 2/3, 0, 0, 0}, {2/3, 2/3, 0, 0, 2/3, 0, 0, 0, 0}, 
   {0, 0, 2/3, 2/3, 1/3, 0, 1/3, 1/3, 0}, {2/3, 0, 0, 1/3, 0, 1/3, 0, 0, 
    1/3}, {0, 0, 2/3, 0, 1/3, 0, 0, 0, 1/3}, {2/3, 0, 0, 1/3, 0, 1/3, 1/3, 
    1/3, 0}}, 23}, {{{2/3, 1/3, 0, 1/3, 0, 1, 0, 0, 0}, 
   {1/3, 0, 1/3, 0, 1/3, 0, 2/3, 2/3, 0}, {0, 0, 0, 1/3, 2/3, 0, 0, 0, 2/3}, 
   {0, 2/3, 0, 1/3, 0, 2/3, 0, 0, 0}, {0, 1/3, 0, 1/3, 1, 0, 0, 0, 0}, 
   {1/3, 0, 1, 0, 0, 1/3, 0, 0, 0}}, 24}, 
 {{{1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 0}, 
   {0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1}, 
   {1, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 25}}