private int[][] StringToCycleDecomp(){
		String[] TheCycles = SeparateStringIntoIndividualCycles();
		if(TheCycles.length == 1){//possibly the identity
			StringTokenizer OneCycle = new StringTokenizer(TheCycles[0]," ,");
			if(OneCycle.countTokens() == 1){//definitely the identity. 
				int[][] Identity = new int[1][1]; Identity[0][0] = 0;
				return Identity;
			}
		}
		return StringsToCycleDecomp(TheCycles);
	}