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In the algorithm, all operations are right coset, (1).a = (2), where (1) and (2) are classes, H.a = K. In every other part, operations are from left x.H = K, this is why a word is reversed before being rewrited.
https://github.com/aidevnn/FastGoat/blob/1f4a19f1880572b617ba5cd288ab679a0d9ab2d6/FastGoat/ToddCoxeter/OpsTable.cs#L167-L174
In the algorithm, all operations are right coset, (1).a = (2), where (1) and (2) are classes, H.a = K. In every other part, operations are from left x.H = K, this is why a word is reversed before being rewrited.
https://github.com/aidevnn/FastGoat/blob/1f4a19f1880572b617ba5cd288ab679a0d9ab2d6/FastGoat/ILeftCoset.cs#L3-L7
Fixing this issue will need to rewrite all the namespace ToddCoxeter.