k3_g8 := List([1..60], i -> []);

k3_g8[34, 1] := [ [ 18, 32, 33 ], [ 20, 24, 28 ], [ 18, 20, 26 ], [ 22, 25, 26 ], [ 19, 21, 24 ], [ 22, 24, 33 ], [ 20, 23, 34 ], [ 21, 25, 31 ], [ 19, 23, 27 ], 
      [ 19, 26, 29 ], [ 25, 27, 28 ], [ 18, 27, 30 ], [ 29, 30, 31 ], [ 28, 29, 32 ], [ 22, 30, 34 ], [ 23, 31, 33 ], [ 21, 32, 34 ], [ 1, 3, 12 ], [ 5, 9, 10 ], [ 2, 3, 7 ], [ 5, 8, 17 ], [ 4, 6, 15 ], [ 7, 9, 16 ], 
      [ 2, 5, 6 ], [ 4, 8, 11 ], [ 3, 4, 10 ], [ 9, 11, 12 ], [ 2, 11, 14 ], [ 10, 13, 14 ], [ 12, 13, 15 ], [ 8, 13, 16 ], [ 1, 14, 17 ], [ 1, 6, 16 ], [ 7, 15, 17 ] ];

k3_g8[36, 1] := [ [ 20, 21, 35 ], [ 27, 30, 31 ], [ 19, 23, 29 ], [ 25, 28, 29 ], [ 25, 27, 35 ], [ 23, 26, 36 ], [ 22, 24, 34 ], [ 26, 28, 33 ], [ 20, 23, 24 ], 
      [ 22, 26, 30 ], [ 21, 22, 29 ], [ 20, 28, 31 ], [ 19, 30, 32 ], [ 21, 32, 33 ], [ 31, 34, 36 ], [ 25, 32, 36 ], [ 24, 27, 33 ], [ 19, 34, 35 ], [ 3, 13, 18 ], [ 1, 9, 12 ], [ 1, 11, 14 ], [ 7, 10, 11 ], [ 3, 6, 9 ], 
      [ 7, 9, 17 ], [ 4, 5, 16 ], [ 6, 8, 10 ], [ 2, 5, 17 ], [ 4, 8, 12 ], [ 3, 4, 11 ], [ 2, 10, 13 ], [ 2, 12, 15 ], [ 13, 14, 16 ], [ 8, 14, 17 ], [ 7, 15, 18 ], [ 1, 5, 18 ], [ 6, 15, 16 ] ];

k3_g8[36, 2] := [ [ 2, 18, 19 ], [ 1, 3, 20 ], [ 2, 4, 21 ], [ 3, 5, 22 ], [ 4, 6, 23 ], [ 5, 7, 24 ], [ 6, 8, 25 ], [ 7, 9, 26 ], [ 8, 10, 27 ], 
      [ 9, 11, 28 ], [ 10, 12, 29 ], [ 11, 13, 30 ], [ 12, 14, 31 ], [ 13, 15, 32 ], [ 14, 16, 33 ], [ 15, 17, 34 ], [ 16, 18, 35 ], [ 1, 17, 36 ], [ 1, 24, 32 ], [ 2, 25, 33 ], [ 3, 26, 34 ], [ 4, 27, 35 ], [ 5, 28, 36 ], 
      [ 6, 19, 29 ], [ 7, 20, 30 ], [ 8, 21, 31 ], [ 9, 22, 32 ], [ 10, 23, 33 ], [ 11, 24, 34 ], [ 12, 25, 35 ], [ 13, 26, 36 ], [ 14, 19, 27 ], [ 15, 20, 28 ], [ 16, 21, 29 ], [ 17, 22, 30 ], [ 18, 23, 31 ] ];

k3_g8[38,1] := [ [ 20, 21, 37 ], [ 20, 22, 32 ], [ 21, 24, 30 ], [ 26, 29, 30 ], [ 22, 25, 28 ], [ 26, 28, 37 ], [ 24, 27, 38 ], [ 23, 36, 37 ], 
  [ 25, 29, 35 ], [ 24, 28, 33 ], [ 23, 27, 31 ], [ 22, 23, 30 ], [ 29, 31, 32 ], [ 21, 31, 34 ], [ 33, 34, 35 ], [ 32, 33, 36 ], [ 26, 34, 38 ], [ 20, 27, 35 ], [ 25, 36, 38 ], [ 1, 2, 18 ], [ 1, 3, 14 ], [ 2, 5, 12 ], 
  [ 8, 11, 12 ], [ 3, 7, 10 ], [ 5, 9, 19 ], [ 4, 6, 17 ], [ 7, 11, 18 ], [ 5, 6, 10 ], [ 4, 9, 13 ], [ 3, 4, 12 ], [ 11, 13, 14 ], [ 2, 13, 16 ], [ 10, 15, 16 ], [ 14, 15, 17 ], [ 9, 15, 18 ], [ 8, 16, 19 ], [ 1, 6, 8 ], [ 7, 17, 19 ] ];

k3_g8[38,2] := [ [ 21, 22, 37 ], [ 29, 32, 33 ], [ 20, 24, 31 ], [ 27, 30, 31 ], [ 27, 29, 37 ], [ 24, 28, 38 ], [ 23, 25, 36 ], [ 26, 30, 35 ], 
  [ 21, 24, 25 ], [ 23, 28, 32 ], [ 22, 23, 31 ], [ 21, 30, 33 ], [ 20, 32, 34 ], [ 22, 34, 35 ], [ 33, 36, 38 ], [ 26, 28, 37 ], [ 27, 34, 38 ], [ 25, 29, 35 ], [ 20, 26, 36 ], [ 3, 13, 19 ], [ 1, 9, 12 ], [ 1, 11, 14 ], 
  [ 7, 10, 11 ], [ 3, 6, 9 ], [ 7, 9, 18 ], [ 8, 16, 19 ], [ 4, 5, 17 ], [ 6, 10, 16 ], [ 2, 5, 18 ], [ 4, 8, 12 ], [ 3, 4, 11 ], [ 2, 10, 13 ], [ 2, 12, 15 ], [ 13, 14, 17 ], [ 8, 14, 18 ], [ 7, 15, 19 ], [ 1, 5, 16 ], [ 6, 15, 17 ] ];

k3_g8[38,3] := [ [ 20, 21, 22 ], [ 29, 32, 34 ], [ 24, 31, 33 ], [ 27, 30, 31 ], [ 25, 27, 29 ], [ 24, 28, 38 ], [ 23, 25, 37 ], [ 26, 30, 36 ], 
  [ 21, 24, 25 ], [ 23, 28, 32 ], [ 22, 23, 33 ], [ 21, 30, 34 ], [ 20, 31, 35 ], [ 20, 26, 32 ], [ 29, 33, 36 ], [ 34, 35, 37 ], [ 28, 35, 36 ], [ 22, 27, 38 ], [ 26, 37, 38 ], [ 1, 13, 14 ], [ 1, 9, 12 ], [ 1, 11, 18 ], 
  [ 7, 10, 11 ], [ 3, 6, 9 ], [ 5, 7, 9 ], [ 8, 14, 19 ], [ 4, 5, 18 ], [ 6, 10, 17 ], [ 2, 5, 15 ], [ 4, 8, 12 ], [ 3, 4, 13 ], [ 2, 10, 14 ], [ 3, 11, 15 ], [ 2, 12, 16 ], [ 13, 16, 17 ], [ 8, 15, 17 ], [ 7, 16, 19 ], [ 6, 18, 19 ] ];

k3_g8[38,4] := [ [ 22, 33, 34 ], [ 21, 27, 37 ], [ 20, 29, 32 ], [ 21, 25, 31 ], [ 28, 30, 31 ], [ 23, 27, 29 ], [ 22, 28, 29 ], [ 23, 25, 38 ], 
  [ 24, 26, 37 ], [ 27, 30, 36 ], [ 22, 25, 26 ], [ 24, 30, 32 ], [ 23, 24, 33 ], [ 20, 31, 34 ], [ 21, 32, 35 ], [ 33, 35, 36 ], [ 34, 37, 38 ], [ 28, 35, 38 ], [ 20, 26, 36 ], [ 3, 14, 19 ], [ 2, 4, 15 ], [ 1, 7, 11 ], 
  [ 6, 8, 13 ], [ 9, 12, 13 ], [ 4, 8, 11 ], [ 9, 11, 19 ], [ 2, 6, 10 ], [ 5, 7, 18 ], [ 3, 6, 7 ], [ 5, 10, 12 ], [ 4, 5, 14 ], [ 3, 12, 15 ], [ 1, 13, 16 ], [ 1, 14, 17 ], [ 15, 16, 18 ], [ 10, 16, 19 ], [ 2, 9, 17 ], [ 8, 17, 18 ] ];

k3_g8[40,1] := [ [ 21, 23, 35 ], [ 22, 30, 33 ], [ 21, 25, 32 ], [ 28, 31, 32 ], [ 23, 27, 30 ], [ 28, 30, 40 ], 
  [ 25, 27, 29 ], [ 24, 26, 39 ], [ 27, 31, 38 ], [ 22, 25, 26 ], [ 24, 29, 33 ], [ 23, 24, 34 ], 
  [ 22, 31, 35 ], [ 32, 34, 36 ], [ 21, 33, 37 ], [ 34, 37, 38 ], [ 35, 36, 39 ], [ 29, 36, 40 ], 
  [ 28, 37, 39 ], [ 26, 38, 40 ], [ 1, 3, 15 ], [ 2, 10, 13 ], [ 1, 5, 12 ], [ 8, 11, 12 ], [ 3, 7, 10 ], 
  [ 8, 10, 20 ], [ 5, 7, 9 ], [ 4, 6, 19 ], [ 7, 11, 18 ], [ 2, 5, 6 ], [ 4, 9, 13 ], [ 3, 4, 14 ], 
  [ 2, 11, 15 ], [ 12, 14, 16 ], [ 1, 13, 17 ], [ 14, 17, 18 ], [ 15, 16, 19 ], [ 9, 16, 20 ], [ 8, 17, 19 ], 
  [ 6, 18, 20 ] ];

k3_g8[40,2] := [ [ 21, 22, 39 ], [ 21, 23, 34 ], [ 22, 25, 32 ], [ 28, 31, 32 ], [ 23, 27, 30 ], [ 28, 30, 39 ], 
  [ 25, 29, 40 ], [ 24, 26, 38 ], [ 27, 31, 37 ], [ 25, 26, 30 ], [ 24, 29, 33 ], [ 23, 24, 32 ], 
  [ 31, 33, 34 ], [ 22, 33, 36 ], [ 35, 36, 37 ], [ 34, 35, 38 ], [ 29, 35, 39 ], [ 28, 36, 40 ], 
  [ 21, 26, 37 ], [ 27, 38, 40 ], [ 1, 2, 19 ], [ 1, 3, 14 ], [ 2, 5, 12 ], [ 8, 11, 12 ], [ 3, 7, 10 ], 
  [ 8, 10, 19 ], [ 5, 9, 20 ], [ 4, 6, 18 ], [ 7, 11, 17 ], [ 5, 6, 10 ], [ 4, 9, 13 ], [ 3, 4, 12 ], 
  [ 11, 13, 14 ], [ 2, 13, 16 ], [ 15, 16, 17 ], [ 14, 15, 18 ], [ 9, 15, 19 ], [ 8, 16, 20 ], [ 1, 6, 17 ], 
  [ 7, 18, 20 ] ];

k3_g8[40,3] := [ [ 21, 22, 40 ], [ 21, 29, 35 ], [ 23, 30, 33 ], [ 22, 25, 32 ], [ 28, 31, 32 ], [ 27, 30, 36 ], 
  [ 28, 30, 40 ], [ 25, 27, 29 ], [ 24, 26, 39 ], [ 27, 31, 38 ], [ 23, 25, 26 ], [ 24, 29, 33 ], 
  [ 24, 34, 40 ], [ 23, 31, 35 ], [ 32, 34, 36 ], [ 22, 33, 37 ], [ 34, 37, 38 ], [ 35, 36, 39 ], 
  [ 28, 37, 39 ], [ 21, 26, 38 ], [ 1, 2, 20 ], [ 1, 4, 16 ], [ 3, 11, 14 ], [ 9, 12, 13 ], [ 4, 8, 11 ], 
  [ 9, 11, 20 ], [ 6, 8, 10 ], [ 5, 7, 19 ], [ 2, 8, 12 ], [ 3, 6, 7 ], [ 5, 10, 14 ], [ 4, 5, 15 ], 
  [ 3, 12, 16 ], [ 13, 15, 17 ], [ 2, 14, 18 ], [ 6, 15, 18 ], [ 16, 17, 19 ], [ 10, 17, 20 ], [ 9, 18, 19 ], 
  [ 1, 7, 13 ] ];

k3_g8[40,4] :=  [ [ 22, 23, 39 ], [ 21, 22, 40 ], [ 21, 25, 34 ], [ 24, 30, 32 ], [ 23, 31, 34 ], [ 25, 27, 30 ], 
  [ 28, 30, 39 ], [ 26, 28, 38 ], [ 27, 31, 37 ], [ 24, 31, 40 ], [ 26, 29, 32 ], [ 25, 26, 33 ], 
  [ 24, 33, 35 ], [ 23, 32, 36 ], [ 33, 36, 37 ], [ 34, 35, 38 ], [ 29, 35, 39 ], [ 28, 36, 40 ], 
  [ 21, 29, 37 ], [ 22, 27, 38 ], [ 2, 3, 19 ], [ 1, 2, 20 ], [ 1, 5, 14 ], [ 4, 10, 13 ], [ 3, 6, 12 ], 
  [ 8, 11, 12 ], [ 6, 9, 20 ], [ 7, 8, 18 ], [ 11, 17, 19 ], [ 4, 6, 7 ], [ 5, 9, 10 ], [ 4, 11, 14 ], 
  [ 12, 13, 15 ], [ 3, 5, 16 ], [ 13, 16, 17 ], [ 14, 15, 18 ], [ 9, 15, 19 ], [ 8, 16, 20 ], [ 1, 7, 17 ], 
  [ 2, 10, 18 ] ];

k3_g8[40,5] := [ [ 22, 23, 39 ], [ 23, 27, 40 ], [ 30, 33, 34 ], [ 21, 25, 32 ], [ 28, 31, 32 ], [ 28, 30, 39 ], 
  [ 25, 29, 40 ], [ 24, 26, 38 ], [ 27, 31, 37 ], [ 22, 25, 26 ], [ 24, 29, 33 ], [ 23, 24, 32 ], 
  [ 22, 31, 34 ], [ 21, 33, 36 ], [ 35, 36, 37 ], [ 34, 35, 38 ], [ 29, 35, 39 ], [ 28, 36, 40 ], 
  [ 26, 30, 37 ], [ 21, 27, 38 ], [ 4, 14, 20 ], [ 1, 10, 13 ], [ 1, 2, 12 ], [ 8, 11, 12 ], [ 4, 7, 10 ], 
  [ 8, 10, 19 ], [ 2, 9, 20 ], [ 5, 6, 18 ], [ 7, 11, 17 ], [ 3, 6, 19 ], [ 5, 9, 13 ], [ 4, 5, 12 ], 
  [ 3, 11, 14 ], [ 3, 13, 16 ], [ 15, 16, 17 ], [ 14, 15, 18 ], [ 9, 15, 19 ], [ 8, 16, 20 ], [ 1, 6, 17 ], 
  [ 2, 7, 18 ] ];

k3_g8[40,6] := [ [ 22, 23, 39 ], [ 21, 24, 40 ], [ 29, 32, 34 ], [ 26, 31, 33 ], [ 28, 30, 31 ], [ 24, 28, 29 ], 
  [ 29, 37, 39 ], [ 26, 38, 40 ], [ 23, 26, 27 ], [ 25, 27, 32 ], [ 24, 25, 33 ], [ 23, 30, 34 ], 
  [ 21, 31, 35 ], [ 22, 32, 36 ], [ 33, 36, 37 ], [ 34, 35, 38 ], [ 25, 35, 39 ], [ 30, 36, 40 ], 
  [ 21, 27, 37 ], [ 22, 28, 38 ], [ 2, 13, 19 ], [ 1, 14, 20 ], [ 1, 9, 12 ], [ 2, 6, 11 ], [ 10, 11, 17 ], 
  [ 4, 8, 9 ], [ 9, 10, 19 ], [ 5, 6, 20 ], [ 3, 6, 7 ], [ 5, 12, 18 ], [ 4, 5, 13 ], [ 3, 10, 14 ], 
  [ 4, 11, 15 ], [ 3, 12, 16 ], [ 13, 16, 17 ], [ 14, 15, 18 ], [ 7, 15, 19 ], [ 8, 16, 20 ], [ 1, 7, 17 ], 
  [ 2, 8, 18 ] ];

k3_g8[40,7] := [ [ 21, 22, 23 ], [ 21, 24, 40 ], [ 30, 33, 35 ], [ 26, 32, 34 ], [ 28, 31, 32 ], [ 24, 28, 30 ], 
  [ 27, 30, 38 ], [ 26, 29, 40 ], [ 25, 27, 39 ], [ 23, 26, 27 ], [ 25, 29, 33 ], [ 24, 25, 34 ], 
  [ 23, 31, 35 ], [ 21, 32, 36 ], [ 22, 33, 37 ], [ 34, 37, 38 ], [ 35, 36, 39 ], [ 29, 36, 38 ], 
  [ 31, 37, 40 ], [ 22, 28, 39 ], [ 1, 2, 14 ], [ 1, 15, 20 ], [ 1, 10, 13 ], [ 2, 6, 12 ], [ 9, 11, 12 ], 
  [ 4, 8, 10 ], [ 7, 9, 10 ], [ 5, 6, 20 ], [ 8, 11, 18 ], [ 3, 6, 7 ], [ 5, 13, 19 ], [ 4, 5, 14 ], 
  [ 3, 11, 15 ], [ 4, 12, 16 ], [ 3, 13, 17 ], [ 14, 17, 18 ], [ 15, 16, 19 ], [ 7, 16, 18 ], [ 9, 17, 20 ], 
  [ 2, 8, 19 ] ];

k3_g8[40,8] := [ [ 21, 22, 23 ], [ 30, 33, 35 ], [ 25, 32, 34 ], [ 28, 31, 32 ], [ 23, 27, 30 ], [ 26, 28, 30 ], 
  [ 25, 29, 40 ], [ 24, 26, 39 ], [ 27, 31, 38 ], [ 22, 25, 26 ], [ 24, 29, 33 ], [ 23, 24, 34 ], 
  [ 22, 31, 35 ], [ 21, 32, 36 ], [ 21, 33, 37 ], [ 34, 37, 38 ], [ 35, 36, 39 ], [ 29, 36, 38 ], 
  [ 28, 37, 40 ], [ 27, 39, 40 ], [ 1, 14, 15 ], [ 1, 10, 13 ], [ 1, 5, 12 ], [ 8, 11, 12 ], [ 3, 7, 10 ], 
  [ 6, 8, 10 ], [ 5, 9, 20 ], [ 4, 6, 19 ], [ 7, 11, 18 ], [ 2, 5, 6 ], [ 4, 9, 13 ], [ 3, 4, 14 ], 
  [ 2, 11, 15 ], [ 3, 12, 16 ], [ 2, 13, 17 ], [ 14, 17, 18 ], [ 15, 16, 19 ], [ 9, 16, 18 ], [ 8, 17, 20 ], 
  [ 7, 19, 20 ] ];

k3_g8[40,9] := [ [ 23, 34, 36 ], [ 22, 28, 39 ], [ 21, 24, 40 ], [ 30, 33, 35 ], [ 22, 26, 32 ], [ 29, 31, 32 ], 
  [ 24, 28, 30 ], [ 23, 29, 30 ], [ 26, 35, 40 ], [ 25, 27, 39 ], [ 28, 31, 38 ], [ 23, 26, 27 ], 
  [ 25, 31, 33 ], [ 24, 25, 34 ], [ 21, 32, 36 ], [ 22, 33, 37 ], [ 34, 37, 38 ], [ 35, 36, 39 ], 
  [ 29, 37, 40 ], [ 21, 27, 38 ], [ 3, 15, 20 ], [ 2, 5, 16 ], [ 1, 8, 12 ], [ 3, 7, 14 ], [ 10, 13, 14 ], 
  [ 5, 9, 12 ], [ 10, 12, 20 ], [ 2, 7, 11 ], [ 6, 8, 19 ], [ 4, 7, 8 ], [ 6, 11, 13 ], [ 5, 6, 15 ], 
  [ 4, 13, 16 ], [ 1, 14, 17 ], [ 4, 9, 18 ], [ 1, 15, 18 ], [ 16, 17, 19 ], [ 11, 17, 20 ], [ 2, 10, 18 ], 
  [ 3, 9, 19 ] ];

k3_g8[40,10] := [ [ 21, 23, 33 ], [ 22, 24, 34 ], [ 21, 30, 32 ], [ 22, 25, 31 ], [ 24, 27, 30 ], [ 28, 30, 39 ], 
  [ 25, 29, 40 ], [ 26, 32, 38 ], [ 27, 31, 37 ], [ 23, 25, 26 ], [ 24, 29, 33 ], [ 23, 28, 34 ], 
  [ 21, 31, 35 ], [ 22, 32, 36 ], [ 33, 36, 37 ], [ 34, 35, 38 ], [ 29, 35, 39 ], [ 28, 36, 40 ], 
  [ 26, 37, 39 ], [ 27, 38, 40 ], [ 1, 3, 13 ], [ 2, 4, 14 ], [ 1, 10, 12 ], [ 2, 5, 11 ], [ 4, 7, 10 ], 
  [ 8, 10, 19 ], [ 5, 9, 20 ], [ 6, 12, 18 ], [ 7, 11, 17 ], [ 3, 5, 6 ], [ 4, 9, 13 ], [ 3, 8, 14 ], 
  [ 1, 11, 15 ], [ 2, 12, 16 ], [ 13, 16, 17 ], [ 14, 15, 18 ], [ 9, 15, 19 ], [ 8, 16, 20 ], [ 6, 17, 19 ], 
  [ 7, 18, 20 ] ];

k3_g8[42,1] := [ [ 22, 24, 36 ], [ 23, 31, 34 ], [ 22, 26, 33 ], [ 29, 32, 33 ], [ 24, 28, 31 ], [ 29, 31, 41 ], [ 26, 30, 42 ], [ 25, 27, 40 ], 
  [ 28, 32, 39 ], [ 23, 26, 27 ], [ 25, 30, 34 ], [ 24, 25, 35 ], [ 23, 32, 36 ], [ 33, 35, 37 ], [ 22, 34, 38 ], [ 35, 38, 39 ], [ 36, 37, 40 ], [ 30, 37, 41 ], [ 29, 38, 42 ], [ 27, 39, 41 ], [ 28, 40, 42 ], [ 1, 3, 15 ], 
  [ 2, 10, 13 ], [ 1, 5, 12 ], [ 8, 11, 12 ], [ 3, 7, 10 ], [ 8, 10, 20 ], [ 5, 9, 21 ], [ 4, 6, 19 ], [ 7, 11, 18 ], [ 2, 5, 6 ], [ 4, 9, 13 ], 
  [ 3, 4, 14 ], [ 2, 11, 15 ], [ 12, 14, 16 ], [ 1, 13, 17 ], [ 14, 17, 18 ], [ 15, 16, 19 ], [ 9, 16, 20 ], [ 8, 17, 21 ], [ 6, 18, 20 ], [ 7, 19, 21 ] ];

k3_g8[42,2] := [ [ 22, 23, 41 ], [ 22, 24, 36 ], [ 23, 26, 33 ], [ 29, 32, 33 ], [ 24, 28, 31 ], [ 29, 31, 41 ], [ 26, 30, 42 ], [ 25, 27, 40 ], 
  [ 28, 32, 39 ], [ 26, 27, 31 ], [ 25, 30, 34 ], [ 24, 25, 35 ], [ 32, 34, 36 ], [ 33, 35, 37 ], [ 23, 34, 38 ], [ 35, 38, 39 ], [ 36, 37, 40 ], [ 30, 37, 41 ], [ 29, 38, 42 ], [ 22, 27, 39 ], [ 28, 40, 42 ], [ 1, 2, 20 ], 
  [ 1, 3, 15 ], [ 2, 5, 12 ], [ 8, 11, 12 ], [ 3, 7, 10 ], [ 8, 10, 20 ], [ 5, 9, 21 ], [ 4, 6, 19 ], [ 7, 11, 18 ], [ 5, 6, 10 ], [ 4, 9, 13 ], 
  [ 3, 4, 14 ], [ 11, 13, 15 ], [ 12, 14, 16 ], [ 2, 13, 17 ], [ 14, 17, 18 ], [ 15, 16, 19 ], [ 9, 16, 20 ], [ 8, 17, 21 ], [ 1, 6, 18 ], [ 7, 19, 21 ] ];

k3_g8[42,3] := [ [ 22, 23, 41 ], [ 22, 25, 36 ], [ 24, 31, 34 ], [ 23, 33, 40 ], [ 29, 32, 33 ], [ 25, 28, 31 ], [ 29, 31, 41 ], [ 30, 36, 42 ], 
  [ 26, 27, 40 ], [ 28, 32, 39 ], [ 24, 27, 37 ], [ 26, 30, 34 ], [ 25, 26, 35 ], [ 24, 32, 36 ], [ 33, 35, 37 ], [ 23, 34, 38 ], [ 35, 38, 39 ], [ 30, 37, 41 ], [ 29, 38, 42 ], [ 22, 27, 39 ], [ 28, 40, 42 ], [ 1, 2, 20 ], 
  [ 1, 4, 16 ], [ 3, 11, 14 ], [ 2, 6, 13 ], [ 9, 12, 13 ], [ 9, 11, 20 ], [ 6, 10, 21 ], [ 5, 7, 19 ], [ 8, 12, 18 ], [ 3, 6, 7 ], [ 5, 10, 14 ], 
  [ 4, 5, 15 ], [ 3, 12, 16 ], [ 13, 15, 17 ], [ 2, 8, 14 ], [ 11, 15, 18 ], [ 16, 17, 19 ], [ 10, 17, 20 ], [ 4, 9, 21 ], [ 1, 7, 18 ], [ 8, 19, 21 ] ];

k3_g8[42,4] := [ [ 22, 23, 41 ], [ 22, 25, 36 ], [ 24, 32, 34 ], [ 23, 27, 33 ], [ 30, 33, 36 ], [ 25, 29, 32 ], [ 30, 32, 41 ], [ 27, 31, 42 ], 
  [ 26, 28, 40 ], [ 29, 33, 39 ], [ 24, 27, 28 ], [ 26, 31, 34 ], [ 25, 26, 35 ], [ 24, 35, 37 ], [ 23, 34, 38 ], [ 35, 38, 39 ], [ 36, 37, 40 ], [ 31, 37, 41 ], [ 30, 38, 42 ], [ 22, 28, 39 ], [ 29, 40, 42 ], [ 1, 2, 20 ], 
  [ 1, 4, 15 ], [ 3, 11, 14 ], [ 2, 6, 13 ], [ 9, 12, 13 ], [ 4, 8, 11 ], [ 9, 11, 20 ], [ 6, 10, 21 ], [ 5, 7, 19 ], [ 8, 12, 18 ], [ 3, 6, 7 ], 
  [ 4, 5, 10 ], [ 3, 12, 15 ], [ 13, 14, 16 ], [ 2, 5, 17 ], [ 14, 17, 18 ], [ 15, 16, 19 ], [ 10, 16, 20 ], [ 9, 17, 21 ], [ 1, 7, 18 ], [ 8, 19, 21 ] ];

k3_g8[42,5] := [ [ 22, 23, 42 ], [ 22, 25, 37 ], [ 24, 32, 35 ], [ 23, 27, 34 ], [ 30, 33, 34 ], [ 25, 29, 32 ], [ 30, 32, 42 ], [ 27, 29, 31 ], 
  [ 26, 28, 41 ], [ 29, 33, 40 ], [ 24, 27, 28 ], [ 26, 31, 35 ], [ 25, 26, 36 ], [ 24, 33, 37 ], [ 34, 36, 38 ], [ 23, 35, 39 ], [ 36, 39, 40 ], [ 37, 38, 41 ], [ 31, 38, 42 ], [ 30, 39, 41 ], [ 22, 28, 40 ], [ 1, 2, 21 ], 
  [ 1, 4, 16 ], [ 3, 11, 14 ], [ 2, 6, 13 ], [ 9, 12, 13 ], [ 4, 8, 11 ], [ 9, 11, 21 ], [ 6, 8, 10 ], [ 5, 7, 20 ], [ 8, 12, 19 ], [ 3, 6, 7 ], 
  [ 5, 10, 14 ], [ 4, 5, 15 ], [ 3, 12, 16 ], [ 13, 15, 17 ], [ 2, 14, 18 ], [ 15, 18, 19 ], [ 16, 17, 20 ], [ 10, 17, 21 ], [ 9, 18, 20 ], [ 1, 7, 19 ] ];

k3_g8[42,6] := [ [ 23, 24, 41 ], [ 22, 23, 42 ], [ 22, 25, 36 ], [ 24, 27, 34 ], [ 30, 33, 34 ], [ 25, 29, 32 ], [ 30, 32, 41 ], [ 27, 31, 42 ], 
  [ 26, 28, 40 ], [ 29, 33, 39 ], [ 27, 28, 32 ], [ 26, 31, 33 ], [ 25, 26, 35 ], [ 34, 35, 37 ], [ 24, 36, 38 ], [ 35, 38, 39 ], [ 36, 37, 40 ], [ 31, 37, 41 ], [ 30, 38, 42 ], [ 22, 28, 39 ], [ 23, 29, 40 ], [ 2, 3, 20 ], 
  [ 1, 2, 21 ], [ 1, 4, 15 ], [ 3, 6, 13 ], [ 9, 12, 13 ], [ 4, 8, 11 ], [ 9, 11, 20 ], [ 6, 10, 21 ], [ 5, 7, 19 ], [ 8, 12, 18 ], [ 6, 7, 11 ], 
  [ 5, 10, 12 ], [ 4, 5, 14 ], [ 13, 14, 16 ], [ 3, 15, 17 ], [ 14, 17, 18 ], [ 15, 16, 19 ], [ 10, 16, 20 ], [ 9, 17, 21 ], [ 1, 7, 18 ], [ 2, 8, 19 ] ];

k3_g8[42,7] := [ [ 23, 24, 41 ], [ 22, 23, 42 ], [ 22, 26, 36 ], [ 25, 31, 34 ], [ 24, 28, 33 ], [ 30, 32, 33 ], [ 26, 29, 34 ], [ 27, 30, 41 ], 
  [ 27, 28, 40 ], [ 29, 32, 39 ], [ 25, 28, 42 ], [ 26, 27, 35 ], [ 25, 32, 36 ], [ 33, 35, 37 ], [ 24, 34, 38 ], [ 35, 38, 39 ], [ 36, 37, 40 ], [ 31, 37, 41 ], [ 30, 38, 42 ], [ 22, 31, 39 ], [ 23, 29, 40 ], [ 2, 3, 20 ], 
  [ 1, 2, 21 ], [ 1, 5, 15 ], [ 4, 11, 13 ], [ 3, 7, 12 ], [ 8, 9, 12 ], [ 5, 9, 11 ], [ 7, 10, 21 ], [ 6, 8, 19 ], [ 4, 18, 20 ], [ 6, 10, 13 ], 
  [ 5, 6, 14 ], [ 4, 7, 15 ], [ 12, 14, 16 ], [ 3, 13, 17 ], [ 14, 17, 18 ], [ 15, 16, 19 ], [ 10, 16, 20 ], [ 9, 17, 21 ], [ 1, 8, 18 ], [ 2, 11, 19 ] ];

k3_g8[42,8] := [ [ 23, 24, 41 ], [ 22, 23, 42 ], [ 22, 26, 36 ], [ 25, 32, 34 ], [ 24, 28, 33 ], [ 30, 33, 36 ], [ 26, 29, 32 ], [ 30, 32, 41 ], 
  [ 27, 28, 40 ], [ 29, 33, 39 ], [ 25, 28, 42 ], [ 27, 31, 34 ], [ 26, 27, 35 ], [ 25, 35, 37 ], [ 24, 34, 38 ], [ 35, 38, 39 ], [ 36, 37, 40 ], [ 31, 37, 41 ], [ 30, 38, 42 ], [ 22, 31, 39 ], [ 23, 29, 40 ], [ 2, 3, 20 ], 
  [ 1, 2, 21 ], [ 1, 5, 15 ], [ 4, 11, 14 ], [ 3, 7, 13 ], [ 9, 12, 13 ], [ 5, 9, 11 ], [ 7, 10, 21 ], [ 6, 8, 19 ], [ 12, 18, 20 ], [ 4, 7, 8 ], 
  [ 5, 6, 10 ], [ 4, 12, 15 ], [ 13, 14, 16 ], [ 3, 6, 17 ], [ 14, 17, 18 ], [ 15, 16, 19 ], [ 10, 16, 20 ], [ 9, 17, 21 ], [ 1, 8, 18 ], [ 2, 11, 19 ] ];

k3_g8[42,9] := [ [ 23, 35, 41 ], [ 24, 28, 42 ], [ 31, 34, 36 ], [ 22, 26, 33 ], [ 29, 32, 33 ], [ 29, 31, 41 ], [ 26, 30, 42 ], [ 25, 27, 40 ], 
  [ 28, 32, 39 ], [ 23, 26, 27 ], [ 25, 30, 34 ], [ 24, 25, 35 ], [ 23, 32, 36 ], [ 24, 33, 37 ], [ 22, 34, 38 ], [ 35, 38, 39 ], [ 36, 37, 40 ], [ 30, 37, 41 ], [ 29, 38, 42 ], [ 27, 31, 39 ], [ 22, 28, 40 ], [ 4, 15, 21 ], 
  [ 1, 10, 13 ], [ 2, 12, 14 ], [ 8, 11, 12 ], [ 4, 7, 10 ], [ 8, 10, 20 ], [ 2, 9, 21 ], [ 5, 6, 19 ], [ 7, 11, 18 ], [ 3, 6, 20 ], 
  [ 5, 9, 13 ], [ 4, 5, 14 ], [ 3, 11, 15 ], [ 1, 12, 16 ], [ 3, 13, 17 ], [ 14, 17, 18 ], [ 15, 16, 19 ], [ 9, 16, 20 ], [ 8, 17, 21 ], [ 1, 6, 18 ], [ 2, 7, 19 ] ];

k3_g8[42,10] := [ [ 22, 24, 35 ], [ 22, 23, 41 ], [ 25, 31, 42 ], [ 31, 34, 36 ], [ 23, 27, 33 ], [ 29, 32, 33 ], [ 27, 30, 42 ], [ 26, 28, 40 ], 
  [ 32, 39, 41 ], [ 24, 27, 28 ], [ 26, 30, 34 ], [ 25, 26, 35 ], [ 24, 32, 36 ], [ 25, 33, 37 ], [ 23, 34, 38 ], [ 35, 38, 39 ], [ 36, 37, 40 ], [ 30, 37, 41 ], [ 29, 38, 42 ], [ 28, 31, 39 ], [ 22, 29, 40 ], [ 1, 2, 21 ], 
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k3_g8[42,16] := [ [ 23, 25, 35 ], [ 23, 24, 41 ], [ 36, 38, 42 ], [ 22, 31, 34 ], [ 24, 27, 33 ], [ 29, 32, 33 ], [ 29, 31, 42 ], [ 27, 30, 42 ], 
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k3_g8[44,5] := [ [ 24, 25, 43 ], [ 23, 24, 44 ], [ 23, 27, 38 ], [ 26, 34, 36 ], [ 25, 29, 35 ], [ 32, 35, 38 ], [ 27, 31, 34 ], [ 32, 34, 43 ], [ 29, 33, 44 ], 
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k3_g8[44,6] :=  [ [ 23, 25, 37 ], [ 23, 24, 43 ], [ 26, 30, 44 ], [ 33, 36, 38 ], [ 24, 28, 35 ], [ 31, 34, 35 ], [ 31, 33, 43 ], [ 28, 32, 44 ], [ 27, 29, 42 ], 
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k3_g8[44,7] := [ [ 25, 37, 43 ], [ 23, 26, 44 ], [ 33, 36, 38 ], [ 24, 28, 35 ], [ 31, 34, 35 ], [ 26, 30, 33 ], [ 31, 33, 43 ], [ 28, 32, 44 ], [ 27, 29, 42 ], 
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k3_g8[44,8] := [ [ 24, 25, 43 ], [ 23, 26, 44 ], [ 33, 36, 38 ], [ 28, 35, 37 ], [ 31, 34, 35 ], [ 26, 30, 33 ], [ 31, 33, 43 ], [ 28, 32, 44 ], [ 27, 29, 42 ], 
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k3_g8[44,9] := [ [ 24, 35, 37 ], [ 24, 25, 43 ], [ 23, 26, 44 ], [ 33, 36, 38 ], [ 31, 34, 35 ], [ 26, 30, 33 ], [ 31, 33, 43 ], [ 28, 32, 44 ], [ 27, 29, 42 ], 
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k3_g8[44,10] := [ [ 24, 26, 37 ], [ 24, 25, 43 ], [ 23, 27, 44 ], [ 33, 36, 38 ], [ 25, 29, 35 ], [ 31, 34, 35 ], [ 27, 31, 33 ], [ 33, 41, 43 ], [ 29, 32, 44 ], 
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k3_g8[44,11] := [ [ 24, 26, 38 ], [ 24, 25, 43 ], [ 23, 27, 44 ], [ 34, 37, 39 ], [ 25, 29, 36 ], [ 32, 35, 36 ], [ 27, 31, 34 ], [ 24, 32, 34 ], [ 29, 33, 44 ], 
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k3_g8[44,12] := [ [ 23, 25, 37 ], [ 24, 26, 38 ], [ 23, 33, 36 ], [ 24, 28, 35 ], [ 31, 34, 35 ], [ 26, 30, 33 ], [ 31, 33, 43 ], [ 28, 32, 44 ], [ 27, 29, 42 ], 
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k3_g8[44,13] := [ [ 24, 26, 37 ], [ 23, 24, 44 ], [ 25, 27, 38 ], [ 23, 33, 36 ], [ 25, 28, 35 ], [ 31, 34, 35 ], [ 27, 30, 33 ], [ 31, 33, 43 ], [ 28, 32, 44 ], 
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k3_g8[44,14] := [ [ 25, 37, 43 ], [ 26, 38, 44 ], [ 23, 33, 36 ], [ 24, 28, 35 ], [ 31, 34, 35 ], [ 26, 30, 33 ], [ 31, 33, 43 ], [ 28, 32, 44 ], [ 27, 29, 42 ], 
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k3_g8[44,15] := [ [ 24, 26, 37 ], [ 24, 25, 43 ], [ 38, 40, 44 ], [ 23, 33, 36 ], [ 25, 28, 35 ], [ 31, 34, 35 ], [ 30, 33, 44 ], [ 31, 33, 43 ], [ 28, 32, 44 ], 
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k3_g8[44,16] := [ [ 11, 17, 44 ], [ 3, 6, 9 ], [ 2, 4, 28 ], [ 3, 5, 12 ], [ 4, 23, 38 ], [ 2, 18, 34 ], [ 8, 30, 37 ], [ 7, 25, 43 ], 
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k3_g8[46,1] :=  [ [ 25, 26, 45 ], [ 24, 25, 46 ], [ 24, 28, 40 ], [ 27, 35, 38 ], [ 26, 30, 37 ], [ 33, 36, 37 ], [ 28, 32, 35 ], [ 33, 35, 45 ], [ 30, 34, 46 ], 
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k3_g8[46,2] := [ [ 25, 27, 39 ], [ 25, 26, 45 ], [ 24, 28, 46 ], [ 35, 38, 40 ], [ 26, 30, 37 ], [ 33, 36, 37 ], [ 28, 32, 35 ], [ 33, 35, 45 ], 
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k3_g8[46,3] := [ [ 25, 27, 39 ], [ 24, 25, 46 ], [ 26, 28, 40 ], [ 24, 35, 38 ], [ 26, 30, 37 ], [ 33, 36, 37 ], [ 28, 32, 35 ], [ 33, 35, 45 ], 
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k3_g8[46,4] := [ [ 25, 27, 39 ], [ 25, 26, 45 ], [ 28, 40, 46 ], [ 24, 35, 38 ], [ 26, 30, 37 ], [ 33, 36, 37 ], [ 28, 32, 35 ], [ 33, 35, 45 ], [ 30, 34, 46 ], 
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k3_g8[46,5] := [ [ 13, 19, 46 ], [ 3, 7, 36 ], [ 2, 4, 11 ], [ 3, 5, 30 ], [ 4, 6, 14 ], [ 5, 25, 40 ], [ 2, 8, 20 ], [ 7, 9, 32 ], 
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k3_g8[48,1] := [[ 27, 29, 41 ], [ 27, 28, 47 ], [ 25, 26, 48 ], [ 26, 30, 42 ], [ 25, 37, 40 ], [ 28, 32, 39 ], [ 35, 38, 39 ], [ 30, 34, 37 ], [ 35, 37, 47 ], [ 32, 36, 48 ], [ 31, 33, 46 ], 
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k3_g8[48,2] := [ [ 14, 20, 48 ], [ 3, 7, 38 ], [ 2, 4, 12 ], [ 3, 5, 32 ], [ 4, 6, 15 ], [ 5, 27, 42 ], [ 2, 8, 21 ], [ 7, 9, 34 ], 
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  [ 12, 26, 46 ], [ 1, 30, 43 ] ];

k3_g8[50,1] := [ [ 16, 22, 50 ], [ 3, 7, 40 ], [ 2, 4, 13 ], [ 3, 5, 34 ], [ 4, 6, 17 ], [ 5, 29, 44 ], [ 2, 8, 23 ], [ 7, 9, 36 ], 
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k3_g8[52,1] := [ [ 18, 24, 52 ], [ 3, 9, 42 ], [ 2, 4, 15 ], [ 3, 5, 36 ], [ 4, 6, 46 ], [ 5, 7, 19 ], [ 6, 8, 31 ], [ 7, 9, 25 ], 
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k3_g8[54,1] := [ [ 2, 5, 26 ], [ 1, 20, 54 ], [ 4, 11, 17 ], [ 3, 5, 44 ], [ 1, 4, 6 ], [ 5, 7, 38 ], [ 6, 8, 48 ], [ 7, 9, 21 ], 
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k3_g8[56,1] := [ [ 2, 7, 28 ], [ 1, 22, 56 ], [ 4, 51, 56 ], [ 3, 5, 13 ], [ 4, 6, 19 ], [ 5, 7, 46 ], [ 1, 6, 8 ], [ 7, 9, 40 ], 
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k3_g8[58,1] := [ [ 36, 57, 58 ], [ 3, 9, 30 ], [ 2, 4, 24 ], [ 3, 40, 58 ], [ 6, 53, 58 ], [ 5, 7, 15 ], [ 6, 8, 21 ], [ 7, 9, 48 ], 
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 ];