$EXEC orbit
(1,13,16,4)(2,9,15,8)(3,5,14,12)(6,10,11,7)(18,30,33,21)(19,26,32,25)(20,22,31,29)(23,27,28,24)
(0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)(17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33)
..
1110000000000000001001000000000010
1101000000000001000000010000010000
1100100000000010000000000101000000
1010000000000000000000010011001000
1001001000000000000111000000000000
1000001000000000000000000010110100
1000000000000000010100000110000010
1100000101010000000000000010000000