***************************************************
Configuration = 126
cycles = (10 8 1 9 7)(6 4 2 5 3)

a = 1, b = 2, c = 5
-----

cycles = (10 8 4 2 6 3 1 9 7)(5)

a = 2, b = 6, c = 10
-----

cycles = (10 7 1 5 3)(9)(8 6 4)(2)

a = 1, b = 5, c = 7
-----

cycles = (10 7 5)(9)(8 2 6)(4)(3)(1)

a = 2, b = 6, c = 8
-----

cycles = (10 3 7)(9)(8)(6)(5)(4)(2)(1)