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8.5 $(2, 3, 7; 7) \vert E$

This coxeter group shows another feature of coset enumeration. No combination of strategy and ordering is best with respect to the maximal and the total number of cosets defined. With respect to the maximal number of cosets defined the combination P-R and kbo-A (1105/1566) is best while with respect to the total number of cosets defined we get the best result for the combination P-ALL and kbo-b (1368/1449). There are other combinations which reveal the same behaviour. Overall, no strategy or ordering is better or worse than the others.

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