***************************************************
Configuration = 54
cycles = (10 7 1 8 2)(9 5 3 6 4)

a = 1, b = 3, c = 6
-----

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

a = 2, b = 5, c = 10
-----

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

a = 1, b = 5, c = 8
-----

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

a = 3, b = 7, c = 9
-----

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