k4_g6 := List([1..52], i -> []);

k4_g6[26,1] := [ [ 2, 16, 20, 26 ], [ 1, 3, 9, 13 ], [ 2, 4, 18, 22 ], [ 3, 5, 11, 15 ], [ 4, 6, 20, 24 ], [ 5, 7, 13, 17 ], [ 6, 8, 22, 26 ], 
  [ 7, 9, 15, 19 ], [ 2, 8, 10, 24 ], [ 9, 11, 17, 21 ], [ 4, 10, 12, 26 ], [ 11, 13, 19, 23 ], [ 2, 6, 12, 14 ], [ 13, 15, 21, 25 ], [ 4, 8, 14, 16 ], [ 1, 15, 17, 23 ], [ 6, 10, 16, 18 ], [ 3, 17, 19, 25 ], [ 8, 12, 18, 20 ], 
  [ 1, 5, 19, 21 ], [ 10, 14, 20, 22 ], [ 3, 7, 21, 23 ], [ 12, 16, 22, 24 ], [ 5, 9, 23, 25 ], [ 14, 18, 24, 26 ], [ 1, 7, 11, 25 ] ];

k4_g6[28,1] := [ [ 2, 18, 22, 28 ], [ 1, 3, 9, 13 ], [ 2, 4, 20, 24 ], [ 3, 5, 11, 15 ], [ 4, 6, 22, 26 ], [ 5, 7, 13, 17 ], [ 6, 8, 24, 28 ], 
  [ 7, 9, 15, 19 ], [ 2, 8, 10, 26 ], [ 9, 11, 17, 21 ], [ 4, 10, 12, 28 ], [ 11, 13, 19, 23 ], [ 2, 6, 12, 14 ], [ 13, 15, 21, 25 ], [ 4, 8, 14, 16 ], [ 15, 17, 23, 27 ], [ 6, 10, 16, 18 ], [ 1, 17, 19, 25 ], [ 8, 12, 18, 20 ], 
  [ 3, 19, 21, 27 ], [ 10, 14, 20, 22 ], [ 1, 5, 21, 23 ], [ 12, 16, 22, 24 ], [ 3, 7, 23, 25 ], [ 14, 18, 24, 26 ], [ 5, 9, 25, 27 ], [ 16, 20, 26, 28 ], [ 1, 7, 11, 27 ] ];

k4_g6[30,1] := [ [ 2, 20, 24, 30 ], [ 1, 3, 9, 13 ], [ 2, 4, 22, 26 ], [ 3, 5, 11, 15 ], [ 4, 6, 24, 28 ], [ 5, 7, 13, 17 ], [ 6, 8, 26, 30 ], 
  [ 7, 9, 15, 19 ], [ 2, 8, 10, 28 ], [ 9, 11, 17, 21 ], [ 4, 10, 12, 30 ], [ 11, 13, 19, 23 ], [ 2, 6, 12, 14 ], [ 13, 15, 21, 25 ], [ 4, 8, 14, 16 ], [ 15, 17, 23, 27 ], [ 6, 10, 16, 18 ], [ 17, 19, 25, 29 ], [ 8, 12, 18, 20 ], 
  [ 1, 19, 21, 27 ], [ 10, 14, 20, 22 ], [ 3, 21, 23, 29 ], [ 12, 16, 22, 24 ], [ 1, 5, 23, 25 ], [ 14, 18, 24, 26 ], [ 3, 7, 25, 27 ], [ 16, 20, 26, 28 ], [ 5, 9, 27, 29 ], [ 18, 22, 28, 30 ], [ 1, 7, 11, 29 ] ];

k4_g6[32,1] := [ [ 2, 22, 26, 32 ], [ 1, 3, 9, 13 ], [ 2, 4, 24, 28 ], [ 3, 5, 11, 15 ], [ 4, 6, 26, 30 ], [ 5, 7, 13, 17 ], [ 6, 8, 28, 32 ], 
  [ 7, 9, 15, 19 ], [ 2, 8, 10, 30 ], [ 9, 11, 17, 21 ], [ 4, 10, 12, 32 ], [ 11, 13, 19, 23 ], [ 2, 6, 12, 14 ], [ 13, 15, 21, 25 ], [ 4, 8, 14, 16 ], [ 15, 17, 23, 27 ], [ 6, 10, 16, 18 ], [ 17, 19, 25, 29 ], [ 8, 12, 18, 20 ], 
  [ 19, 21, 27, 31 ], [ 10, 14, 20, 22 ], [ 1, 21, 23, 29 ], [ 12, 16, 22, 24 ], [ 3, 23, 25, 31 ], [ 14, 18, 24, 26 ], [ 1, 5, 25, 27 ], 
  [ 16, 20, 26, 28 ], [ 3, 7, 27, 29 ], [ 18, 22, 28, 30 ], [ 5, 9, 29, 31 ], [ 20, 24, 30, 32 ], [ 1, 7, 11, 31 ] ];

k4_g6[34,1] := [ [ 2, 24, 28, 34 ], [ 1, 3, 9, 13 ], [ 2, 4, 26, 30 ], [ 3, 5, 11, 15 ], [ 4, 6, 28, 32 ], [ 5, 7, 13, 17 ], [ 6, 8, 30, 34 ], 
  [ 7, 9, 15, 19 ], [ 2, 8, 10, 32 ], [ 9, 11, 17, 21 ], [ 4, 10, 12, 34 ], [ 11, 13, 19, 23 ], [ 2, 6, 12, 14 ], [ 13, 15, 21, 25 ], [ 4, 8, 14, 16 ], [ 15, 17, 23, 27 ], [ 6, 10, 16, 18 ], [ 17, 19, 25, 29 ], [ 8, 12, 18, 20 ], 
  [ 19, 21, 27, 31 ], [ 10, 14, 20, 22 ], [ 21, 23, 29, 33 ], [ 12, 16, 22, 24 ], [ 1, 23, 25, 31 ], [ 14, 18, 24, 26 ], [ 3, 25, 27, 33 ], 
  [ 16, 20, 26, 28 ], [ 1, 5, 27, 29 ], [ 18, 22, 28, 30 ], [ 3, 7, 29, 31 ], [ 20, 24, 30, 32 ], [ 5, 9, 31, 33 ], [ 22, 26, 32, 34 ], [ 1, 7, 11, 33 ] ];

k4_g6[36,1] := [ [ 2, 26, 30, 36 ], [ 1, 3, 9, 13 ], [ 2, 4, 28, 32 ], [ 3, 5, 11, 15 ], [ 4, 6, 30, 34 ], [ 5, 7, 13, 17 ], [ 6, 8, 32, 36 ], 
  [ 7, 9, 15, 19 ], [ 2, 8, 10, 34 ], [ 9, 11, 17, 21 ], [ 4, 10, 12, 36 ], [ 11, 13, 19, 23 ], [ 2, 6, 12, 14 ], [ 13, 15, 21, 25 ], [ 4, 8, 14, 16 ], [ 15, 17, 23, 27 ], [ 6, 10, 16, 18 ], [ 17, 19, 25, 29 ], [ 8, 12, 18, 20 ], 
  [ 19, 21, 27, 31 ], [ 10, 14, 20, 22 ], [ 21, 23, 29, 33 ], [ 12, 16, 22, 24 ], [ 23, 25, 31, 35 ], [ 14, 18, 24, 26 ], [ 1, 25, 27, 33 ], 
  [ 16, 20, 26, 28 ], [ 3, 27, 29, 35 ], [ 18, 22, 28, 30 ], [ 1, 5, 29, 31 ], [ 20, 24, 30, 32 ], [ 3, 7, 31, 33 ], [ 22, 26, 32, 34 ], [ 5, 9, 33, 35 ], [ 24, 28, 34, 36 ], [ 1, 7, 11, 35 ] ];

k4_g6[37,1] := [ [ 2, 3, 4, 5 ], [ 1, 6, 7, 8 ], [ 1, 9, 10, 11 ], [ 1, 12, 13, 14 ], [ 1, 15, 16, 17 ], [ 2, 18, 19, 20 ], [ 2, 21, 22, 23 ], 
      [ 2, 24, 25, 26 ], [ 3, 18, 21, 24 ], [ 3, 19, 22, 25 ], [ 3, 20, 23, 26 ], [ 4, 18, 22, 27 ], [ 4, 19, 21, 28 ], [ 4, 29, 30, 31 ], [ 5, 18, 26, 32 ], [ 5, 20, 33, 34 ], [ 5, 23, 25, 35 ], [ 6, 9, 12, 15 ], [ 6, 10, 13, 36 ], 
      [ 6, 11, 16, 29 ], [ 7, 9, 13, 33 ], [ 7, 10, 12, 34 ], [ 7, 11, 17, 37 ], [ 8, 9, 29, 37 ], [ 8, 10, 17, 30 ], [ 8, 11, 15, 31 ], [ 12, 33, 35, 36 ], 
      [ 13, 32, 34, 35 ], [ 14, 20, 24, 35 ], [ 14, 25, 32, 33 ], [ 14, 26, 34, 36 ], [ 15, 28, 30, 37 ], [ 16, 21, 27, 30 ], [ 16, 22, 28, 31 ], [ 17, 27, 28, 29 ], [ 19, 27, 31, 37 ], [ 23, 24, 32, 36 ] ];

k4_g6[38,1] := [ [ 2, 28, 32, 38 ], [ 1, 3, 9, 13 ], [ 2, 4, 30, 34 ], [ 3, 5, 11, 15 ], [ 4, 6, 32, 36 ], [ 5, 7, 13, 17 ], [ 6, 8, 34, 38 ], 
  [ 7, 9, 15, 19 ], [ 2, 8, 10, 36 ], [ 9, 11, 17, 21 ], [ 4, 10, 12, 38 ], [ 11, 13, 19, 23 ], [ 2, 6, 12, 14 ], [ 13, 15, 21, 25 ], [ 4, 8, 14, 16 ], [ 15, 17, 23, 27 ], [ 6, 10, 16, 18 ], [ 17, 19, 25, 29 ], [ 8, 12, 18, 20 ], 
  [ 19, 21, 27, 31 ], [ 10, 14, 20, 22 ], [ 21, 23, 29, 33 ], [ 12, 16, 22, 24 ], [ 23, 25, 31, 35 ], [ 14, 18, 24, 26 ], [ 25, 27, 33, 37 ], 
  [ 16, 20, 26, 28 ], [ 1, 27, 29, 35 ], [ 18, 22, 28, 30 ], [ 3, 29, 31, 37 ], [ 20, 24, 30, 32 ], [ 1, 5, 31, 33 ], [ 22, 26, 32, 34 ], [ 3, 7, 33, 35 ], [ 24, 28, 34, 36 ], [ 5, 9, 35, 37 ], [ 26, 30, 36, 38 ], [ 1, 7, 11, 37 ] ];

k4_g6[39,1] := [ [ 2, 32, 38, 39 ], [ 1, 3, 8, 12 ], [ 2, 4, 30, 34 ], [ 3, 5, 10, 14 ], [ 4, 6, 32, 36 ], [ 5, 12, 16, 29 ], [ 8, 14, 18, 33 ], 
  [ 2, 7, 9, 36 ], [ 8, 10, 16, 20 ], [ 4, 9, 11, 38 ], [ 10, 12, 18, 22 ], [ 2, 6, 11, 13 ], [ 12, 14, 20, 23 ], [ 4, 7, 13, 39 ], [ 16, 22, 25, 39 ], [ 6, 9, 15, 17 ], [ 16, 18, 23, 27 ], [ 7, 11, 17, 19 ], [ 18, 20, 25, 29 ], 
  [ 9, 13, 19, 21 ], [ 20, 22, 27, 31 ], [ 11, 15, 21, 34 ], [ 13, 17, 24, 38 ], [ 23, 25, 31, 35 ], [ 15, 19, 24, 26 ], [ 25, 27, 33, 37 ], 
  [ 17, 21, 26, 28 ], [ 27, 29, 35, 39 ], [ 6, 19, 28, 30 ], [ 3, 29, 31, 37 ], [ 21, 24, 30, 32 ], [ 1, 5, 31, 33 ], [ 7, 26, 32, 34 ], [ 3, 22, 33, 35 ], [ 24, 28, 34, 36 ], [ 5, 8, 35, 37 ], [ 26, 30, 36, 38 ], [ 1, 10, 23, 37 ], 
  [ 1, 14, 15, 28 ] ];

k4_g6[40,1] := [ [ 2, 30, 34, 40 ], [ 1, 3, 9, 13 ], [ 2, 4, 32, 36 ], [ 3, 5, 11, 15 ], [ 4, 6, 34, 38 ], [ 5, 7, 13, 17 ], [ 6, 8, 36, 40 ], 
  [ 7, 9, 15, 19 ], [ 2, 8, 10, 38 ], [ 9, 11, 17, 21 ], [ 4, 10, 12, 40 ], [ 11, 13, 19, 23 ], [ 2, 6, 12, 14 ], [ 13, 15, 21, 25 ], [ 4, 8, 14, 16 ], [ 15, 17, 23, 27 ], [ 6, 10, 16, 18 ], [ 17, 19, 25, 29 ], [ 8, 12, 18, 20 ], 
  [ 19, 21, 27, 31 ], [ 10, 14, 20, 22 ], [ 21, 23, 29, 33 ], [ 12, 16, 22, 24 ], [ 23, 25, 31, 35 ], [ 14, 18, 24, 26 ], [ 25, 27, 33, 37 ], 
  [ 16, 20, 26, 28 ], [ 27, 29, 35, 39 ], [ 18, 22, 28, 30 ], [ 1, 29, 31, 37 ], [ 20, 24, 30, 32 ], [ 3, 31, 33, 39 ], [ 22, 26, 32, 34 ], [ 1, 5, 33, 35 ], [ 24, 28, 34, 36 ], [ 3, 7, 35, 37 ], [ 26, 30, 36, 38 ], [ 5, 9, 37, 39 ], 
  [ 28, 32, 38, 40 ], [ 1, 7, 11, 39 ] ];

k4_g6[41,1] := [ [ 2, 34, 40, 41 ], [ 1, 3, 9, 13 ], [ 2, 4, 32, 36 ], [ 3, 5, 11, 15 ], [ 4, 6, 34, 38 ], [ 5, 7, 13, 17 ], [ 6, 8, 36, 40 ], 
  [ 7, 9, 15, 19 ], [ 2, 8, 10, 38 ], [ 9, 11, 17, 21 ], [ 4, 10, 12, 40 ], [ 11, 13, 19, 23 ], [ 2, 6, 12, 14 ], [ 13, 15, 21, 25 ], [ 4, 8, 14, 41 ], [ 17, 23, 27, 41 ], [ 6, 10, 16, 18 ], [ 17, 19, 25, 29 ], [ 8, 12, 18, 20 ], 
  [ 19, 21, 27, 31 ], [ 10, 14, 20, 22 ], [ 21, 23, 29, 33 ], [ 12, 16, 22, 24 ], [ 23, 25, 31, 35 ], [ 14, 18, 24, 26 ], [ 25, 27, 33, 37 ], 
  [ 16, 20, 26, 28 ], [ 27, 29, 35, 39 ], [ 18, 22, 28, 30 ], [ 29, 31, 37, 41 ], [ 20, 24, 30, 32 ], [ 3, 31, 33, 39 ], [ 22, 26, 32, 34 ], [ 1, 5, 33, 35 ], [ 24, 28, 34, 36 ], [ 3, 7, 35, 37 ], [ 26, 30, 36, 38 ], [ 5, 9, 37, 39 ], 
  [ 28, 32, 38, 40 ], [ 1, 7, 11, 39 ], [ 1, 15, 16, 30 ] ];

k4_g6[42,1] := [ [ 2, 32, 36, 42 ], [ 1, 3, 9, 13 ], [ 2, 4, 34, 38 ], [ 3, 5, 11, 15 ], [ 4, 6, 36, 40 ], [ 5, 7, 13, 17 ], [ 6, 8, 38, 42 ], 
  [ 7, 9, 15, 19 ], [ 2, 8, 10, 40 ], [ 9, 11, 17, 21 ], [ 4, 10, 12, 42 ], [ 11, 13, 19, 23 ], [ 2, 6, 12, 14 ], [ 13, 15, 21, 25 ], [ 4, 8, 14, 16 ], [ 15, 17, 23, 27 ], [ 6, 10, 16, 18 ], [ 17, 19, 25, 29 ], [ 8, 12, 18, 20 ], 
  [ 19, 21, 27, 31 ], [ 10, 14, 20, 22 ], [ 21, 23, 29, 33 ], [ 12, 16, 22, 24 ], [ 23, 25, 31, 35 ], [ 14, 18, 24, 26 ], [ 25, 27, 33, 37 ], 
  [ 16, 20, 26, 28 ], [ 27, 29, 35, 39 ], [ 18, 22, 28, 30 ], [ 29, 31, 37, 41 ], [ 20, 24, 30, 32 ], [ 1, 31, 33, 39 ], [ 22, 26, 32, 34 ], [ 3, 33, 35, 41 ], [ 24, 28, 34, 36 ], [ 1, 5, 35, 37 ], [ 26, 30, 36, 38 ], [ 3, 7, 37, 39 ], 
  [ 28, 32, 38, 40 ], [ 5, 9, 39, 41 ], [ 30, 34, 40, 42 ], [ 1, 7, 11, 41 ] ];

k4_g6[43,1] := [ [ 2, 36, 42, 43 ], [ 1, 3, 9, 13 ], [ 2, 4, 34, 38 ], [ 3, 5, 11, 15 ], [ 4, 6, 36, 40 ], [ 5, 7, 13, 17 ], [ 6, 8, 38, 42 ], 
  [ 7, 9, 15, 19 ], [ 2, 8, 10, 40 ], [ 9, 11, 17, 21 ], [ 4, 10, 12, 42 ], [ 11, 13, 19, 23 ], [ 2, 6, 12, 14 ], [ 13, 15, 21, 25 ], [ 4, 8, 14, 43 ], [ 17, 23, 27, 43 ], [ 6, 10, 16, 18 ], [ 17, 19, 25, 29 ], [ 8, 12, 18, 20 ], 
  [ 19, 21, 27, 31 ], [ 10, 14, 20, 22 ], [ 21, 23, 29, 33 ], [ 12, 16, 22, 24 ], [ 23, 25, 31, 35 ], [ 14, 18, 24, 26 ], [ 25, 27, 33, 37 ], 
  [ 16, 20, 26, 28 ], [ 27, 29, 35, 39 ], [ 18, 22, 28, 30 ], [ 29, 31, 37, 41 ], [ 20, 24, 30, 32 ], [ 31, 33, 39, 43 ], [ 22, 26, 32, 34 ], [ 3, 33, 35, 41 ], [ 24, 28, 34, 36 ], [ 1, 5, 35, 37 ], [ 26, 30, 36, 38 ], [ 3, 7, 37, 39 ],
  [ 28, 32, 38, 40 ], [ 5, 9, 39, 41 ], [ 30, 34, 40, 42 ], [ 1, 7, 11, 41 ], [ 1, 15, 16, 32 ] ];

k4_g6[44,1] := [ [ 2, 34, 38, 44 ], [ 1, 3, 9, 13 ], [ 2, 4, 36, 40 ], [ 3, 5, 11, 15 ], [ 4, 6, 38, 42 ], [ 5, 7, 13, 17 ], [ 6, 8, 40, 44 ], 
  [ 7, 9, 15, 19 ], [ 2, 8, 10, 42 ], [ 9, 11, 17, 21 ], [ 4, 10, 12, 44 ], [ 11, 13, 19, 23 ], [ 2, 6, 12, 14 ], [ 13, 15, 21, 25 ], [ 4, 8, 14, 16 ], [ 15, 17, 23, 27 ], [ 6, 10, 16, 18 ], [ 17, 19, 25, 29 ], [ 8, 12, 18, 20 ], 
  [ 19, 21, 27, 31 ], [ 10, 14, 20, 22 ], [ 21, 23, 29, 33 ], [ 12, 16, 22, 24 ], [ 23, 25, 31, 35 ], [ 14, 18, 24, 26 ], [ 25, 27, 33, 37 ], 
  [ 16, 20, 26, 28 ], [ 27, 29, 35, 39 ], [ 18, 22, 28, 30 ], [ 29, 31, 37, 41 ], [ 20, 24, 30, 32 ], [ 31, 33, 39, 43 ], [ 22, 26, 32, 34 ], [ 1, 33, 35, 41 ], [ 24, 28, 34, 36 ], [ 3, 35, 37, 43 ], [ 26, 30, 36, 38 ], 
  [ 1, 5, 37, 39 ], [ 28, 32, 38, 40 ], [ 3, 7, 39, 41 ], [ 30, 34, 40, 42 ], [ 5, 9, 41, 43 ], [ 32, 36, 42, 44 ], [ 1, 7, 11, 43 ] ];

k4_g6[45,1] := [ [ 2, 38, 44, 45 ], [ 1, 3, 9, 13 ], [ 2, 4, 36, 40 ], [ 3, 5, 11, 15 ], [ 4, 6, 38, 42 ], [ 5, 7, 13, 17 ], [ 6, 8, 40, 44 ], 
  [ 7, 9, 15, 19 ], [ 2, 8, 10, 42 ], [ 9, 11, 17, 21 ], [ 4, 10, 12, 44 ], [ 11, 13, 19, 23 ], [ 2, 6, 12, 14 ], [ 13, 15, 21, 25 ], [ 4, 8, 14, 45 ], [ 17, 23, 27, 45 ], [ 6, 10, 16, 18 ], [ 17, 19, 25, 29 ], [ 8, 12, 18, 20 ], 
  [ 19, 21, 27, 31 ], [ 10, 14, 20, 22 ], [ 21, 23, 29, 33 ], [ 12, 16, 22, 24 ], [ 23, 25, 31, 35 ], [ 14, 18, 24, 26 ], [ 25, 27, 33, 37 ], 
  [ 16, 20, 26, 28 ], [ 27, 29, 35, 39 ], [ 18, 22, 28, 30 ], [ 29, 31, 37, 41 ], [ 20, 24, 30, 32 ], [ 31, 33, 39, 43 ], [ 22, 26, 32, 34 ], [ 33, 35, 41, 45 ], [ 24, 28, 34, 36 ], [ 3, 35, 37, 43 ], [ 26, 30, 36, 38 ], 
  [ 1, 5, 37, 39 ], [ 28, 32, 38, 40 ], [ 3, 7, 39, 41 ], [ 30, 34, 40, 42 ], [ 5, 9, 41, 43 ], [ 32, 36, 42, 44 ], [ 1, 7, 11, 43 ], [ 1, 15, 16, 34 ] ];

k4_g6[46,1] := [ [ 2, 36, 40, 46 ], [ 1, 3, 9, 13 ], [ 2, 4, 38, 42 ], [ 3, 5, 11, 15 ], [ 4, 6, 40, 44 ], [ 5, 7, 13, 17 ], [ 6, 8, 42, 46 ], 
  [ 7, 9, 15, 19 ], [ 2, 8, 10, 44 ], [ 9, 11, 17, 21 ], [ 4, 10, 12, 46 ], [ 11, 13, 19, 23 ], [ 2, 6, 12, 14 ], [ 13, 15, 21, 25 ], [ 4, 8, 14, 16 ], [ 15, 17, 23, 27 ], [ 6, 10, 16, 18 ], [ 17, 19, 25, 29 ], [ 8, 12, 18, 20 ], 
  [ 19, 21, 27, 31 ], [ 10, 14, 20, 22 ], [ 21, 23, 29, 33 ], [ 12, 16, 22, 24 ], [ 23, 25, 31, 35 ], [ 14, 18, 24, 26 ], [ 25, 27, 33, 37 ], 
  [ 16, 20, 26, 28 ], [ 27, 29, 35, 39 ], [ 18, 22, 28, 30 ], [ 29, 31, 37, 41 ], [ 20, 24, 30, 32 ], [ 31, 33, 39, 43 ], [ 22, 26, 32, 34 ], [ 33, 35, 41, 45 ], [ 24, 28, 34, 36 ], [ 1, 35, 37, 43 ], [ 26, 30, 36, 38 ], 
  [ 3, 37, 39, 45 ], [ 28, 32, 38, 40 ], [ 1, 5, 39, 41 ], [ 30, 34, 40, 42 ], [ 3, 7, 41, 43 ], [ 32, 36, 42, 44 ], [ 5, 9, 43, 45 ], [ 34, 38, 44, 46 ], [ 1, 7, 11, 45 ] ];

k4_g6[47,1] := [ [ 2, 40, 46, 47 ], [ 1, 3, 9, 13 ], [ 2, 4, 38, 42 ], [ 3, 5, 11, 15 ], [ 4, 6, 40, 44 ], [ 5, 7, 13, 17 ], [ 6, 8, 42, 46 ], 
  [ 7, 9, 15, 19 ], [ 2, 8, 10, 44 ], [ 9, 11, 17, 21 ], [ 4, 10, 12, 46 ], [ 11, 13, 19, 23 ], [ 2, 6, 12, 14 ], [ 13, 15, 21, 25 ], [ 4, 8, 14, 47 ], [ 17, 23, 27, 47 ], [ 6, 10, 16, 18 ], [ 17, 19, 25, 29 ], [ 8, 12, 18, 20 ], 
  [ 19, 21, 27, 31 ], [ 10, 14, 20, 22 ], [ 21, 23, 29, 33 ], [ 12, 16, 22, 24 ], [ 23, 25, 31, 35 ], [ 14, 18, 24, 26 ], [ 25, 27, 33, 37 ], 
  [ 16, 20, 26, 28 ], [ 27, 29, 35, 39 ], [ 18, 22, 28, 30 ], [ 29, 31, 37, 41 ], [ 20, 24, 30, 32 ], [ 31, 33, 39, 43 ], [ 22, 26, 32, 34 ], [ 33, 35, 41, 45 ], [ 24, 28, 34, 36 ], [ 35, 37, 43, 47 ], [ 26, 30, 36, 38 ], 
  [ 3, 37, 39, 45 ], [ 28, 32, 38, 40 ], [ 1, 5, 39, 41 ], [ 30, 34, 40, 42 ], [ 3, 7, 41, 43 ], [ 32, 36, 42, 44 ], [ 5, 9, 43, 45 ], [ 34, 38, 44, 46 ], [ 1, 7, 11, 45 ], [ 1, 15, 16, 36 ] ];

k4_g6[48,1] := [ [ 2, 38, 42, 48 ], [ 1, 3, 9, 13 ], [ 2, 4, 40, 44 ], [ 3, 5, 11, 15 ], [ 4, 6, 42, 46 ], [ 5, 7, 13, 17 ], [ 6, 8, 44, 48 ], 
  [ 7, 9, 15, 19 ], [ 2, 8, 10, 46 ], [ 9, 11, 17, 21 ], [ 4, 10, 12, 48 ], [ 11, 13, 19, 23 ], [ 2, 6, 12, 14 ], [ 13, 15, 21, 25 ], [ 4, 8, 14, 16 ], [ 15, 17, 23, 27 ], [ 6, 10, 16, 18 ], [ 17, 19, 25, 29 ], [ 8, 12, 18, 20 ], 
  [ 19, 21, 27, 31 ], [ 10, 14, 20, 22 ], [ 21, 23, 29, 33 ], [ 12, 16, 22, 24 ], [ 23, 25, 31, 35 ], [ 14, 18, 24, 26 ], [ 25, 27, 33, 37 ], 
  [ 16, 20, 26, 28 ], [ 27, 29, 35, 39 ], [ 18, 22, 28, 30 ], [ 29, 31, 37, 41 ], [ 20, 24, 30, 32 ], [ 31, 33, 39, 43 ], [ 22, 26, 32, 34 ], [ 33, 35, 41, 45 ], [ 24, 28, 34, 36 ], [ 35, 37, 43, 47 ], [ 26, 30, 36, 38 ], 
  [ 1, 37, 39, 45 ], [ 28, 32, 38, 40 ], [ 3, 39, 41, 47 ], [ 30, 34, 40, 42 ], [ 1, 5, 41, 43 ], [ 32, 36, 42, 44 ], [ 3, 7, 43, 45 ], [ 34, 38, 44, 46 ], [ 5, 9, 45, 47 ], [ 36, 40, 46, 48 ], [ 1, 7, 11, 47 ] ];

k4_g6[49,1] := [ [ 2, 42, 48, 49 ], [ 1, 3, 9, 13 ], [ 2, 4, 40, 44 ], [ 3, 5, 11, 15 ], [ 4, 6, 42, 46 ], [ 5, 7, 13, 17 ], [ 6, 8, 44, 48 ], 
  [ 7, 9, 15, 19 ], [ 2, 8, 10, 46 ], [ 9, 11, 17, 21 ], [ 4, 10, 12, 48 ], [ 11, 13, 19, 23 ], [ 2, 6, 12, 14 ], [ 13, 15, 21, 25 ], [ 4, 8, 14, 49 ], [ 17, 23, 27, 49 ], [ 6, 10, 16, 18 ], [ 17, 19, 25, 29 ], [ 8, 12, 18, 20 ], 
  [ 19, 21, 27, 31 ], [ 10, 14, 20, 22 ], [ 21, 23, 29, 33 ], [ 12, 16, 22, 24 ], [ 23, 25, 31, 35 ], [ 14, 18, 24, 26 ], [ 25, 27, 33, 37 ], 
  [ 16, 20, 26, 28 ], [ 27, 29, 35, 39 ], [ 18, 22, 28, 30 ], [ 29, 31, 37, 41 ], [ 20, 24, 30, 32 ], [ 31, 33, 39, 43 ], [ 22, 26, 32, 34 ], [ 33, 35, 41, 45 ], [ 24, 28, 34, 36 ], [ 35, 37, 43, 47 ], [ 26, 30, 36, 38 ], 
  [ 37, 39, 45, 49 ], [ 28, 32, 38, 40 ], [ 3, 39, 41, 47 ], [ 30, 34, 40, 42 ], [ 1, 5, 41, 43 ], [ 32, 36, 42, 44 ], [ 3, 7, 43, 45 ], [ 34, 38, 44, 46 ], [ 5, 9, 45, 47 ], [ 36, 40, 46, 48 ], [ 1, 7, 11, 47 ], [ 1, 15, 16, 38 ] ];

k4_g6[50,1] := [ [ 2, 40, 44, 50 ], [ 1, 3, 9, 13 ], [ 2, 4, 42, 46 ], [ 3, 5, 11, 15 ], [ 4, 6, 44, 48 ], [ 5, 7, 13, 17 ], [ 6, 8, 46, 50 ], 
  [ 7, 9, 15, 19 ], [ 2, 8, 10, 48 ], [ 9, 11, 17, 21 ], [ 4, 10, 12, 50 ], [ 11, 13, 19, 23 ], [ 2, 6, 12, 14 ], [ 13, 15, 21, 25 ], [ 4, 8, 14, 16 ], [ 15, 17, 23, 27 ], [ 6, 10, 16, 18 ], [ 17, 19, 25, 29 ], [ 8, 12, 18, 20 ], 
  [ 19, 21, 27, 31 ], [ 10, 14, 20, 22 ], [ 21, 23, 29, 33 ], [ 12, 16, 22, 24 ], [ 23, 25, 31, 35 ], [ 14, 18, 24, 26 ], [ 25, 27, 33, 37 ], 
  [ 16, 20, 26, 28 ], [ 27, 29, 35, 39 ], [ 18, 22, 28, 30 ], [ 29, 31, 37, 41 ], [ 20, 24, 30, 32 ], [ 31, 33, 39, 43 ], [ 22, 26, 32, 34 ], [ 33, 35, 41, 45 ], [ 24, 28, 34, 36 ], [ 35, 37, 43, 47 ], [ 26, 30, 36, 38 ], 
  [ 37, 39, 45, 49 ], [ 28, 32, 38, 40 ], [ 1, 39, 41, 47 ], [ 30, 34, 40, 42 ], [ 3, 41, 43, 49 ], [ 32, 36, 42, 44 ], [ 1, 5, 43, 45 ], 
  [ 34, 38, 44, 46 ], [ 3, 7, 45, 47 ], [ 36, 40, 46, 48 ], [ 5, 9, 47, 49 ], [ 38, 42, 48, 50 ], [ 1, 7, 11, 49 ] ];

k4_g6[51,1] := [ [ 2, 44, 50, 51 ], [ 1, 3, 9, 13 ], [ 2, 4, 42, 46 ], [ 3, 5, 11, 15 ], [ 4, 6, 44, 48 ], [ 5, 7, 13, 17 ], [ 6, 8, 46, 50 ], 
  [ 7, 9, 15, 19 ], [ 2, 8, 10, 48 ], [ 9, 11, 17, 21 ], [ 4, 10, 12, 50 ], [ 11, 13, 19, 23 ], [ 2, 6, 12, 14 ], [ 13, 15, 21, 25 ], [ 4, 8, 14, 51 ], [ 17, 23, 27, 51 ], [ 6, 10, 16, 18 ], [ 17, 19, 25, 29 ], [ 8, 12, 18, 20 ], 
  [ 19, 21, 27, 31 ], [ 10, 14, 20, 22 ], [ 21, 23, 29, 33 ], [ 12, 16, 22, 24 ], [ 23, 25, 31, 35 ], [ 14, 18, 24, 26 ], [ 25, 27, 33, 37 ], 
  [ 16, 20, 26, 28 ], [ 27, 29, 35, 39 ], [ 18, 22, 28, 30 ], [ 29, 31, 37, 41 ], [ 20, 24, 30, 32 ], [ 31, 33, 39, 43 ], [ 22, 26, 32, 34 ], [ 33, 35, 41, 45 ], [ 24, 28, 34, 36 ], [ 35, 37, 43, 47 ], [ 26, 30, 36, 38 ], 
  [ 37, 39, 45, 49 ], [ 28, 32, 38, 40 ], [ 39, 41, 47, 51 ], [ 30, 34, 40, 42 ], [ 3, 41, 43, 49 ], [ 32, 36, 42, 44 ], [ 1, 5, 43, 45 ], 
  [ 34, 38, 44, 46 ], [ 3, 7, 45, 47 ], [ 36, 40, 46, 48 ], [ 5, 9, 47, 49 ], [ 38, 42, 48, 50 ], [ 1, 7, 11, 49 ], [ 1, 15, 16, 40 ] ];

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