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Configuration = 57
cycles = (10 8 2 9 7)(6 4 1 5 3)

a = 1, b = 2, c = 9
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cycles = (10 7 1 4 2 5 3 8 6)(9)

a = 1, b = 4, c = 7
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cycles = (10 7 5 2 6 8 3)(9)(4)(1)

a = 3, b = 6, c = 8
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cycles = (10 4 7 2 3)(9)(8)(6)(5)(1)

a = 4, b = 7, c = 10
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cycles = (10 2 3)(9)(8)(7)(6)(5)(4)(1)