TopologiesDim9 = {{{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 
     1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 
     0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 
     0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 
     0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 
     1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 
     0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 
     0}, {1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 
     0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 
     0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 
     0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 
     0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 
     0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 
     1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 0, 
     1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 
     1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
     {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
     0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
     0, 0}}, {{0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 
     1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 
     0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 
     0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 
     0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 
     0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 
     1, 0, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 
     0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
     {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
     0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
     0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 
     0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 
     0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 1, 0, 1, 1, 
     1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 
     0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 
     0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 
     0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 
     0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 
     0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 
     0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 
     0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 
     0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
     0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 
     0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 
     0, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 
     0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 
     0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 
     0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 
     0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 
     1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
     0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 
     0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 
     1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 
     0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 
     0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 
     0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 
     0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 
     1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
     {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
     0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 
     0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 
     0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
     {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
     0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 
     0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 
     0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 
     0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 
     0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 
     1, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 
     0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
     0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 
     0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 
     0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 
     0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
     0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 
     1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 
     0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
     {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
     0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 
     0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 
     0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
     {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
     0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 
     0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 
     0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 
     0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
     0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 
     1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 
     0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 
     0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
     0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 
     0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 
     0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 
     0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
     0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 
     0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 
     0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
     1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 
     0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 
     0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
     0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 
     0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
     {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 
     0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 
     0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 
     0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 
     0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 
     1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
     0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 
     0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 
     0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
     0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 
     1, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 
     0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 
     0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
     0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 
     0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 
     0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
     0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 
     0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
     {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 
     1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 
     0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
     0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 
     0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 
     0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
     0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 
     0, 0, 0, 0, 0, 0, 0}}}
 
TopologiesDim11 = {{{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 
     0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
     0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 
     0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
     0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
     0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 
     0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
     0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 
     0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 
     0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 
     0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
     0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
     0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
     0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 
     0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 
     0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 
     0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
     1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 
     0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
     0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 
     0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
     {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 
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        {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {"F"}, {"S"}}, 
       {{"S"}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
        {}, {}, {}, {}, {}, {}}, {{}, {"S"}, {}, {}, {}, {}, {}, {}, {}, {}, 
        {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}, 
       {{}, {}, {"S"}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
        {}, {}, {}, {}, {}, {}}, {{}, {}, {}, {"S"}, {}, {}, {}, {}, {}, {}, 
        {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}, 
       {{}, {}, {}, {}, {"S"}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
        {}, {}, {}, {}, {}, {}}, {{}, {}, {}, {}, {}, {"S"}, {}, {}, {}, {}, 
        {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}, 
       {{}, {}, {}, {}, {}, {}, {"S"}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
        {}, {}, {}, {}, {}, {}}, {{}, {}, {}, {}, {}, {}, {}, {"S"}, {}, {}, 
        {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}, 
       {{}, {}, {}, {}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}, {}, {}, {}, 
        {}, {}, {}, {}, {}, {}}, {{}, {}, {}, {}, {}, {}, {}, {}, {"S"}, {}, 
        {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}, 
       {{}, {}, {}, {}, {}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}, {}, {}, 
        {}, {}, {}, {}, {}, {}}, {{}, {}, {}, {}, {}, {}, {}, {}, {}, {"S"}, 
        {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}}}}
 
PaintLabelledDiagram[edges_, labels_, style_, OptionsPattern[]] := 
    Module[{edgesets, result}, colorFuncSet[edge_, clist_] := 
       With[{a = Unique["x"]}, {Inactive[a], Inactive[
          edge -> (a = 0; {a++; Append[clist[[a]], Line[#1]]} & )]}]; 
      SetColorFunction[edgeset_] := Block[{gather}, 
        gather = (colorFuncSet[#1[[1,1]], #1[[All,2]]] & ) /@ 
           GatherBy[edgesets, First]; With[{var = gather[[All,1]], 
            cont = gather[[All,2]]}, Hold[Module[var, cont]]] /. 
          Inactive[x_] :> x]; edgesets = MapThread[List, 
        {edges, labels /. style}]; result = Graph[edgesets[[All,1]], 
        EdgeShapeFunction -> ReleaseHold[SetColorFunction[edgesets]], 
        ImageSize -> OptionValue[ImageSize]]; Return[result]; ]
 
Options[PaintLabelledDiagram] = {ImageSize -> 300}
 
edges = {{1, 2}, {1, 3}, {1, 11}, {2, 4}, {2, 12}, {3, 5}, {3, 13}, {4, 6}, 
     {4, 14}, {5, 7}, {5, 15}, {6, 8}, {6, 16}, {7, 9}, {7, 17}, {8, 10}, 
     {8, 18}, {9, 19}, {9, 20}, {10, 21}, {10, 22}}
 
labels = {"F", "F", "S", "F", "S", "F", "S", "F", "S", "F", "S", "F", "S", 
     "F", "S", "F", "S", "F", "S", "F", "S"}
 
colorFuncSet[edge_, clist_] := With[{a = Unique["x"]}, 
     {Inactive[a], Inactive[edge -> (a = 0; 
         {a++; Append[clist[[a]], Line[#1]]} & )]}]
 
SetColorFunction[edgeset$_] := Block[{gather}, 
     gather = (colorFuncSet[#1[[1,1]], #1[[All,2]]] & ) /@ 
        GatherBy[edgesets$9576, First]; 
      With[{var = gather[[All,1]], cont = gather[[All,2]]}, 
        Hold[Module[var, cont]]] /. Inactive[x_] :> x]
 
Attributes[edgeset$] = {Temporary}
 
Attributes[edgesets$9576] = {Temporary}
 
edgesets$9576 = {{UndirectedEdge[1, 2], {Dashing[{Small, Small}]}}, 
     {UndirectedEdge[1, 3], {Dashing[{Small, Small}]}}, 
     {UndirectedEdge[1, 4], {Dashing[{Small, Small}]}}, 
     {UndirectedEdge[1, 7], {Dashing[{Small, Small}]}}, 
     {UndirectedEdge[2, 5], {Dashing[{Small, Small}]}}, 
     {UndirectedEdge[2, 8], {Dashing[{Small, Small}]}}, 
     {UndirectedEdge[2, 9], {Dashing[{Small, Small}]}}, 
     {UndirectedEdge[3, 6], {Dashing[{Small, Small}]}}, 
     {UndirectedEdge[3, 10], {Dashing[{Small, Small}]}}, 
     {UndirectedEdge[4, 11], {Dashing[{Small, Small}]}}, 
     {UndirectedEdge[4, 12], {Dashing[{Small, Small}]}}, 
     {UndirectedEdge[5, 13], {Dashing[{Small, Small}]}}, 
     {UndirectedEdge[5, 14], {Dashing[{Small, Small}]}}, 
     {UndirectedEdge[6, 15], {}}, {UndirectedEdge[6, 16], {}}}
 
PaintLabelledDiagram2[labelledAdMatrix_, OptionsPattern[]] := 
    Module[{intMat, edgeList, edgeLabels}, 
     intMat = Map[Length, labelledAdMatrix, {2}]; 
      edgeList = Position[UpperTriangularize[intMat], x_ /; x > 0]; 
      edgeLabels = Extract[labelledAdMatrix, edgeList]; 
      edgeList = Flatten[MapThread[ConstantArray, {edgeList, 
          Length /@ edgeLabels}], 1]; edgeLabels = Flatten[edgeLabels]; 
      Return[PaintLabelledDiagram[Apply[UndirectedEdge, edgeList, {1}], 
        edgeLabels, {"S" -> {Dashed}, "F" -> {}}, ImageSize -> 
         OptionValue[ImageSize]]]; ]
 
Options[PaintLabelledDiagram2] = {ImageSize -> 300}
