        {1 -> {}, 2 -> {}, 3 -> {{{-1, 0, 0, 0, 1}, {2, -1, -1, 0, 0}, 
        {2, 1, 1, -3, -1}, {0, 0, 0, 1, -1}}, {{-1, 0, 0, 0, 1}, 
        {1, 1, 1, 1, -4}, {3, -1, -1, -1, 0}, {0, 0, 0, 0, 0}}, 
       {{-1, 0, 0, 0, 1}, {1, 1, 1, -4, 1}, {3, -1, -1, 0, -1}, 
        {0, 0, 0, 1, -1}}, {{-1, 0, 0, 0, 1}, {1, 1, 1, -4, 1}, 
        {2, -1, -1, 0, 0}, {0, 0, 0, 1, -1}}, {{-1, 0, 0, 0, 1}, 
        {1, 1, -1, -1, 0}, {1, 1, 0, 0, -2}, {0, -2, 1, 1, 0}}, 
       {{-1, -1, -1, 1, 2}, {0, 1, 0, 0, -1}, {1, 0, 1, 0, -2}, 
        {0, -1, 0, -1, 2}}, {{-1, -1, -1, 1, 2}, {0, 0, 0, 1, -1}, 
        {1, 1, 1, -1, -2}, {0, 0, 0, -2, 2}}, {{-1, -1, 0, 1, 1}, 
        {0, 1, 1, -1, -1}, {1, -1, 2, -1, -1}, {0, 0, -2, 1, 1}}, 
       {{-1, -2, -1, 2, 2}, {1, -1, 1, 1, -2}, {1, 1, 1, -2, -1}, 
        {-1, 1, -1, 0, 1}}, {{-1, -1, -1, 1, 2}, {1, 1, 1, -3, 0}, 
        {1, 1, 1, -1, -2}, {-1, -1, -1, 2, 1}}}, 4 -> {}, 5 -> {}, 
     6 -> {{{-3, 0, 1, 1, 1}, {0, 3, -1, -1, -1}, {1, -1, 0, 0, 0}}, 
       {{-1, -1, -1, 1, 2}, {1, 1, 1, -4, 1}, {0, 0, 0, 1, -1}}}, 7 -> {}, 
     8 -> {}, 9 -> {{{-4, 1, 1, 1, 1}, {0, 3, -1, -1, -1}, {1, -1, 0, 0, 0}, 
        {1, -1, 0, 0, 0}}, {{-3, 0, 1, 1, 1}, {1, 2, -1, -1, -1}, 
        {-1, 1, 0, 0, 0}, {1, -1, 0, 0, 0}}, {{-3, 0, 1, 1, 1}, 
        {1, 2, -1, -1, -1}, {0, 0, 0, 0, 0}, {1, -1, 0, 0, 0}}, 
       {{-2, -1, 1, 1, 1}, {3, 0, -1, -1, -1}, {0, 0, 0, 0, 0}, 
        {-1, 1, 0, 0, 0}}, {{-2, -1, 1, 1, 1}, {1, -2, 1, 0, 0}, 
        {1, 2, -1, -1, -1}, {0, 1, -1, 0, 0}}, {{-2, -1, 1, 1, 1}, 
        {0, 3, -1, -1, -1}, {0, 0, 0, 0, 0}, {1, -1, 0, 0, 0}}, 
       {{-2, -1, 1, 1, 1}, {1, 2, -1, -1, -1}, {0, 0, 0, 0, 0}, 
        {1, -1, 0, 0, 0}}, {{-2, -1, 1, 1, 1}, {0, 3, -1, -1, -1}, 
        {1, -1, 0, 0, 0}, {2, -2, 0, 0, 0}}, {{-1, -1, -1, -1, 4}, 
        {1, 1, 1, -1, -2}, {0, 0, 0, -1, 1}, {0, 0, 0, 1, -1}}, 
       {{-1, -1, -1, 0, 3}, {1, 1, 1, -4, 1}, {0, 0, 0, 1, -1}, 
        {0, 0, 0, 1, -1}}, {{-1, 0, 0, 0, 1}, {1, 1, 1, 1, -4}, 
        {3, -1, -1, -1, 0}, {0, 0, 0, 0, 0}}, {{-1, 0, 0, 0, 1}, 
        {-4, 1, 1, 1, 1}, {2, -1, -1, -1, 1}, {1, 0, 0, 0, -1}}}, 
     10 -> {{{-3, 1, 1, 1, 0}, {4, -1, -1, -1, -1}, {2, -1, -1, -1, 1}, 
        {-1, 0, 0, 0, 1}}, {{-3, 1, 1, 1, 0}, {4, -1, -1, -1, -1}, 
        {2, -1, -1, -1, 1}, {-2, 1, 1, 1, -1}}, {{-4, 2, 2, 2, -2}, 
        {3, -2, -2, -2, 3}, {2, -1, -1, -1, 1}, {-1, 1, 1, 1, -2}}, 
       {{-2, 5, -1, -1, -1}, {1, -4, 1, 1, 1}, {2, -2, 0, 0, 0}, 
        {1, 2, -1, -1, -1}}, {{0, 1, 1, 1, -3}, {1, -1, -1, -1, 2}, 
        {2, -1, -1, -1, 1}, {-2, 1, 1, 1, -1}}, {{-1, 1, 2, -1, -1}, 
        {1, 0, -3, 1, 1}, {1, -2, -1, 1, 1}, {0, -1, 1, 0, 0}}, 
       {{-3, 0, 1, 1, 1}, {1, -1, -1, -1, 2}, {1, -1, 0, 0, 0}, 
        {0, 1, 0, 0, -1}}, {{-4, 2, 1, 1, 0}, {1, -2, -1, -1, 3}, 
        {1, -1, 0, 0, 0}, {0, 1, 0, 0, -1}}, {{-4, 2, 1, 1, 0}, 
        {1, -1, -1, -1, 2}, {1, -1, 0, 0, 0}, {0, 1, 0, 0, -1}}, 
       {{-4, 1, 1, 1, 1}, {1, 2, -1, -1, -1}, {1, -1, 0, 0, 0}, 
        {0, 0, 0, 0, 0}}, {{-2, 2, 1, 1, -2}, {1, 1, -1, -1, 0}, 
        {1, -1, 0, 0, 0}, {-1, 0, 0, 0, 1}}, {{-1, 2, 3, -2, -2}, 
        {0, -1, -3, 2, 2}, {1, -2, -1, 1, 1}, {1, 0, 1, -1, -1}}, 
       {{-1, 0, 0, 1, 0}, {0, 0, 0, -1, 1}, {1, -1, -1, 0, 1}, 
        {0, 1, 1, 0, -2}}, {{0, 1, -1, 0, 0}, {-1, 0, 1, 0, 0}, 
        {1, -2, -1, 1, 1}, {1, 0, 1, -1, -1}}, {{0, 3, -1, -1, -1}, 
        {-3, 0, 1, 1, 1}, {1, -1, 0, 0, 0}, {0, 0, 0, 0, 0}}, 
       {{0, 1, 1, -1, -1}, {-3, 0, 1, 1, 1}, {1, -1, 0, 0, 0}, 
        {0, 1, -1, 0, 0}}, {{-1, 1, 0, 0, 0}, {2, -2, 0, 0, 0}, 
        {0, -3, 1, 1, 1}, {1, 2, -1, -1, -1}}, {{-1, 1, 0, 0, 0}, 
        {1, 0, -1, 0, 0}, {0, -2, 0, 1, 1}, {0, 1, 1, -1, -1}}, 
       {{-1, 2, 1, -1, -1}, {1, 1, -3, 1, 0}, {0, -1, 0, 0, 1}, 
        {0, 0, 1, 0, -1}}, {{-3, 1, 1, 1, 0}, {0, 1, -1, -1, 1}, 
        {0, -1, 0, 0, 1}, {1, 0, 0, 0, -1}}, {{-3, 1, 1, 1, 0}, 
        {0, 2, -1, -1, 0}, {0, -1, 0, 0, 1}, {1, 0, 0, 0, -1}}, 
       {{0, 3, 1, -2, -2}, {-1, -2, -1, 2, 2}, {0, -2, 0, 1, 1}, 
        {1, 1, 0, -1, -1}}, {{-1, 1, 0, 0, 0}, {0, 0, 0, 0, 0}, 
        {-1, -2, 1, 1, 1}, {2, 1, -1, -1, -1}}, {{-1, 4, -1, -1, -1}, 
        {0, -3, 1, 1, 1}, {-1, -2, 1, 1, 1}, {1, 2, -1, -1, -1}}, 
       {{1, 2, -1, -1, -1}, {0, -3, 1, 1, 1}, {-2, -1, 1, 1, 1}, 
        {2, 1, -1, -1, -1}}}, 11 -> {{{2, -3, -1, 1, 1}, {2, 0, 0, -1, -1}, 
        {-1, 1, 0, 0, 0}, {-1, 0, 1, 0, 0}}, {{2, -2, 0, 0, 0}, 
        {2, 1, -1, -1, -1}, {-3, 0, 1, 1, 1}, {-1, 1, 0, 0, 0}}, 
       {{2, -1, -1, -1, 1}, {2, -1, 0, 0, -1}, {-3, 1, 1, 1, 0}, 
        {-1, 1, 0, 0, 0}}, {{2, -2, 0, 0, 0}, {2, 1, -1, -1, -1}, 
        {-3, 0, 1, 1, 1}, {-2, -1, 1, 1, 1}}, {{1, -4, 1, 1, 1}, 
        {3, 0, -1, -1, -1}, {-1, 1, 0, 0, 0}, {0, 0, 0, 0, 0}}, 
       {{1, -4, 1, 1, 1}, {3, 0, -1, -1, -1}, {-1, 1, 0, 0, 0}, 
        {-1, 1, 0, 0, 0}}, {{1, -4, 1, 1, 1}, {2, 0, -1, -1, 0}, 
        {-1, 1, 0, 0, 0}, {0, 1, 0, 0, -1}}, {{1, -1, -1, 0, 1}, 
        {2, -1, -1, 2, -2}, {-3, 2, 2, -1, 0}, {-1, 1, 1, -2, 1}}, 
       {{1, -1, -1, -1, 2}, {2, -1, -1, -1, 1}, {-4, 2, 2, 2, -2}, 
        {-1, 1, 1, 1, -2}}, {{1, -1, -1, 0, 1}, {2, -1, -1, 1, -1}, 
        {-2, 2, 2, -1, -1}, {-2, 1, 1, 0, 0}}, {{1, -2, 0, 0, 1}, 
        {1, 0, -1, -1, 1}, {-2, 1, 1, 1, -1}, {0, 1, 0, 0, -1}}, 
       {{1, -4, 1, 1, 1}, {1, 0, -1, 0, 0}, {-1, 1, 2, -1, -1}, 
        {-1, 1, 0, 0, 0}}, {{1, -4, 1, 1, 1}, {1, 0, -1, 0, 0}, 
        {-2, 1, 3, -1, -1}, {-1, 1, 0, 0, 0}}, {{1, -3, 0, 1, 1}, 
        {1, -1, -2, 1, 1}, {-2, 3, 3, -2, -2}, {-1, 1, 2, -1, -1}}, 
       {{1, -3, 0, 1, 1}, {1, -1, -2, 1, 1}, {-2, 3, 3, -2, -2}, 
        {-1, 2, 1, -1, -1}}, {{1, -2, -1, 1, 1}, {1, -1, 1, -2, 1}, 
        {-2, 3, -1, 2, -2}, {-1, 1, 1, 0, -1}}, {{1, -2, 0, 0, 1}, 
        {1, 0, -1, -1, 1}, {-2, 3, 1, 0, -2}, {-1, 1, 0, 1, -1}}, 
       {{1, -1, -1, -1, 2}, {1, 0, 0, 0, -1}, {-3, 1, 1, 1, 0}, 
        {-1, 1, 1, 1, -2}}, {{1, -1, -1, -1, 2}, {1, 0, 0, 0, -1}, 
        {-3, 1, 1, 1, 0}, {-2, 0, 0, 0, 2}}, {{0, -1, 0, 0, 1}, 
        {3, -1, -1, -1, 0}, {0, 2, 1, 1, -4}, {-1, 1, 0, 0, 0}}, 
       {{0, 0, 0, 0, 0}, {3, -1, -1, -1, 0}, {0, 1, 1, 1, -3}, 
        {-1, 0, 0, 0, 1}}, {{0, -3, 1, 1, 1}, {2, 1, -1, -1, -1}, 
        {-1, 1, 0, 0, 0}, {1, 2, -1, -1, -1}}, {{0, -1, 0, 0, 1}, 
        {2, -1, 1, 1, -3}, {1, 1, -1, -1, 0}, {-1, 1, 0, 0, 0}}, 
       {{0, -1, 0, 0, 1}, {2, 0, -1, -1, 0}, {1, 0, 1, 1, -3}, 
        {-1, 1, 0, 0, 0}}, {{0, -1, 0, 0, 1}, {2, 0, -1, -1, 0}, 
        {0, 2, 1, 1, -4}, {-1, 1, 0, 0, 0}}, {{0, -3, 1, 1, 1}, 
        {2, 1, -1, -1, -1}, {-1, 1, 0, 0, 0}, {-2, -1, 1, 1, 1}}, 
       {{0, -2, 0, 0, 2}, {1, -1, 1, 1, -2}, {-1, 2, -1, -1, 1}, 
        {0, 1, 0, 0, -1}}, {{0, -2, 0, 1, 1}, {1, 0, 1, -2, 0}, 
        {-1, 1, -1, 1, 0}, {0, 1, 0, 0, -1}}, {{0, -2, 0, 1, 1}, 
        {1, 2, -1, -1, -1}, {-1, 1, 0, 0, 0}, {0, -1, 1, 0, 0}}, 
       {{0, -2, 0, 1, 1}, {1, 2, -1, -1, -1}, {-1, 1, 0, 0, 0}, 
        {0, 1, 1, -1, -1}}, {{0, -1, 0, 0, 1}, {1, -2, 1, 1, -1}, 
        {-1, 4, -1, -1, -1}, {0, 2, 0, 0, -2}}, {{0, -1, -1, 0, 2}, 
        {1, 0, 0, 1, -2}, {-1, 1, 0, -1, 1}, {0, 0, 1, 0, -1}}, 
       {{0, -1, 0, 0, 1}, {1, 1, 1, 1, -4}, {-1, 3, -1, -1, 0}, 
        {0, 0, 0, 0, 0}}, {{0, -1, 0, 0, 1}, {1, 1, 1, 1, -4}, 
        {-1, 0, 2, -1, 0}, {0, 1, -1, 0, 0}}, {{0, -1, 0, 0, 1}, 
        {1, 1, 1, 1, -4}, {-1, 1, 1, -1, 0}, {0, 1, -1, 0, 0}}, 
       {{0, -1, 0, 0, 1}, {1, 2, -3, 1, -1}, {-1, 2, 1, -1, -1}, 
        {0, 0, 1, 0, -1}}, {{0, 0, 0, 0, 0}, {1, -4, 1, 1, 1}, 
        {-1, 1, 2, -1, -1}, {0, 1, -1, 0, 0}}, {{0, -1, -1, -1, 3}, 
        {1, 0, 0, 0, -1}, {-4, 1, 1, 1, 1}, {0, 0, 0, 0, 0}}, 
       {{0, -2, 0, 1, 1}, {1, 1, 0, -1, -1}, {0, 1, -1, 0, 0}, 
        {-1, 0, 1, 0, 0}}, {{0, -1, -1, 0, 2}, {1, 0, 0, 0, -1}, 
        {0, 1, 1, -3, 1}, {-1, 0, 0, 1, 0}}, {{0, -3, 0, 0, 3}, 
        {1, -1, 1, 1, -2}, {-1, 3, -1, -1, 0}, {-1, 1, -1, -1, 2}}, 
       {{0, -2, 0, 0, 2}, {1, -2, 1, 1, -1}, {-1, 5, -1, -1, -2}, 
        {-1, 2, -1, -1, 1}}, {{0, -2, 0, 0, 2}, {1, -1, 1, 1, -2}, 
        {-1, 2, -1, -1, 1}, {-1, 1, -1, -1, 2}}, {{0, -1, 0, 0, 1}, 
        {1, -2, 1, 1, -1}, {-1, 4, -1, -1, -1}, {-1, 2, -1, -1, 1}}, 
       {{0, -1, -1, 0, 2}, {1, 0, 0, 0, -1}, {-2, 1, 1, -2, 2}, 
        {-1, 0, 0, 1, 0}}, {{0, -3, 1, 1, 1}, {1, 2, -1, -1, -1}, 
        {0, 0, 0, 0, 0}, {-2, -1, 1, 1, 1}}, {{0, -1, -1, 1, 1}, 
        {1, 0, 1, -1, -1}, {0, 1, -1, 0, 0}, {-2, 0, 0, 1, 1}}, 
       {{0, -1, -1, 1, 1}, {1, 1, 1, -2, -1}, {0, 0, 0, 1, -1}, 
        {-2, 1, 1, -1, 1}}, {{0, -1, -1, -1, 3}, {0, 0, 0, 1, -1}, 
        {-3, 1, 1, 0, 1}, {1, 0, 0, -1, 0}}, {{-1, -2, 1, 1, 1}, 
        {2, 2, -2, -1, -1}, {-1, 1, 0, 0, 0}, {1, 0, 1, -1, -1}}, 
       {{-1, -2, 1, 1, 1}, {2, 1, -1, -1, -1}, {-2, 2, 0, 0, 0}, 
        {1, 2, -1, -1, -1}}, {{-1, -2, 1, 1, 1}, {2, 1, -1, -1, -1}, 
        {-2, 2, 0, 0, 0}, {-3, 0, 1, 1, 1}}, {{-1, -2, 1, 1, 1}, 
        {1, 2, -1, -1, -1}, {-1, 1, 0, 0, 0}, {2, 1, -1, -1, -1}}, 
       {{-1, -2, 1, 1, 1}, {1, 2, -1, -1, -1}, {-1, 1, 0, 0, 0}, 
        {1, -1, 0, 0, 0}}}, 12 -> {{{1, -1, -1, -1, 2}, {-4, 1, 1, 1, 1}, 
        {1, 0, 0, 0, -1}, {0, 0, 0, 0, 0}}}, 
     13 -> {{{3, -1, -1, -1, 0}, {1, 1, 1, 1, -4}, {-1, 0, 0, 0, 1}, 
        {0, 0, 0, 0, 0}}, {{3, -1, -1, -1, 0}, {-1, 0, 0, 0, 1}, 
        {1, 1, 1, 1, -4}, {0, 0, 0, 0, 0}}, {{3, -1, -1, -1, 0}, 
        {1, 1, 1, 1, -4}, {-1, 0, 0, 0, 1}, {-1, 0, 0, 0, 1}}, 
       {{3, -1, -1, -1, 0}, {-1, 0, 0, 0, 1}, {1, 1, 1, 1, -4}, 
        {-1, 0, 0, 0, 1}}, {{2, -1, -1, -1, 1}, {1, 0, 0, 0, -1}, 
        {-4, 1, 1, 1, 1}, {-1, 0, 0, 0, 1}}, {{2, -1, -1, -1, 1}, 
        {-4, 1, 1, 1, 1}, {1, 0, 0, 0, -1}, {-1, 0, 0, 0, 1}}, 
       {{1, -4, 1, 1, 1}, {3, 0, -1, -1, -1}, {-1, 1, 0, 0, 0}, 
        {0, 0, 0, 0, 0}}, {{1, -4, 1, 1, 1}, {0, 1, -1, 0, 0}, 
        {-1, 0, 3, -1, -1}, {0, 0, 0, 0, 0}}, {{1, -4, 1, 1, 1}, 
        {0, 1, -1, 0, 0}, {-1, 0, 3, -1, -1}, {0, 1, -1, 0, 0}}, 
       {{1, -2, -1, 1, 1}, {0, 1, -1, 0, 0}, {-1, 0, 3, -1, -1}, 
        {0, -1, 1, 0, 0}}, {{1, -1, 0, 0, 0}, {0, 1, 1, -1, -1}, 
        {-3, 1, 0, 1, 1}, {0, 1, -1, 0, 0}}, {{1, -1, 0, 0, 0}, 
        {0, 3, -1, -1, -1}, {-4, 1, 1, 1, 1}, {0, 0, 0, 0, 0}}, 
       {{1, -4, 1, 1, 1}, {-1, 0, 3, -1, -1}, {0, 1, -1, 0, 0}, 
        {0, 1, -1, 0, 0}}, {{1, -3, 0, 1, 1}, {-1, 5, -2, -1, -1}, 
        {0, -1, 1, 0, 0}, {0, 2, -2, 0, 0}}, {{1, -2, -1, 1, 1}, 
        {-1, 0, 3, -1, -1}, {0, 1, -1, 0, 0}, {0, -1, 1, 0, 0}}, 
       {{1, -1, 0, 0, 0}, {-3, 1, 0, 1, 1}, {0, 1, 1, -1, -1}, 
        {0, 1, -1, 0, 0}}, {{1, -1, 0, 0, 0}, {-4, 1, 1, 1, 1}, 
        {0, 3, -1, -1, -1}, {0, 0, 0, 0, 0}}}, 
     14 -> {{{-1, 0, 0, 0, 1}, {1, 1, 1, 1, -4}, {3, -1, -1, -1, 0}}}}
