$EXEC orbit
(0,1,4,2,9,5,11,3,8,10,7,6,12)(13)(14,15,18,16,23,19,25,17,22,24,21,20,26)(27)
(0,2,4,6,8,10)(1,3,5,7,9,11)(12)(13)(14,16,18,20,22,24)(15,17,19,21,23,25)(26)(27)
(0,6)(1,5)(2,4)(3)(7,11)(8,10)(9)(12,13)(14,20)(15,19)(16,18)(17)(21,25)(22,24)(23)(26,27)
..
0000000000111111101001011010
0000000011111110110100100001
0000000011111101001011100001
0000000010111001110000111110
0000000001011101011000011111
0000001011101100010000110111
0000000110111101101100100010
0000000111011111011100001000
0000000101111100110001010110
0000001110111011111000010000
0000011011111100100101000010
0000111011011100001000010110
0000111011011100000110100001
..
# add the two words
0000000000000000111111111111
0011111111111100000000000000
# to get A(28,8,12) >= 4916