To run this M12 Solver, simply cd into this directory and then press

python Math120.py


It will ask you for a permutation
Type each number in, separated by a single space, like so:

$ python Math120.py
Enter Permutation: 2 4 6 8 10 12 11 9 7 5 3 1
['R', 'R', 'R', 'R', 'R', 'R', 'R', 'R', 'R']
Enter Permutation: 2 4 6 8 10 12 11 9 7 5 1 3
no solution exists

Do each R or L from left to right and see your topsy turvy is solved!