A single Berge k-move is denoted as { j i }, in which case, the pieces in the positions
i,i+1,...,i+k-1 are moved to the vacant holes j,j+1,...,j+k-1.  Successive moves are concatenated
as { j i } U { l k }, which means perform { j i } followed by { l k }. Often a move fills an
empty hole created as an effect of the previous move, the resulting notation { j k } U { k i }
is abbreviated as { j k i }, and is extended to more than two such moves as well.

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