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  text: 'Given an element $\\sigma$ of a [-497] $S_n$ on finitely many elements, we may express $\\sigma$ in [49f cycle notation].\nThe cycle type of $\\sigma$ is then a list of the lengths of the cycles in $\\sigma$, where conventionally we omit length-$1$ cycles from the cycle type.\nConventionally we list the lengths in decreasing order, and the list is presented as a comma-separated collection of values.\n\nThe concept is well-defined because [-49k] up to reordering of the cycles.\n\n# Examples\n\n- The cycle type of the element $(123)(45)$ in $S_7$ is $3,2$, or (without the conventional omission of the cycles $(6)$ and $(7)$) $3,2,1,1$.\n- The cycle type of the identity element is the empty list.\n- The cycle type of a $k$-cycle is $k$, the list containing a single element $k$.',
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