Explanation and Pronunciation of Superscript Hash

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I wanted to know how to pronounce the superscript # symbol in the following sentence and whether it has a specific meaning when applied to T:

"With these labels, each motion $ T: X \rightarrow X $ of the square sends each vertex to a vertex, so determines a permutation $ ^\# T: Y \rightarrow Y $ of the set Y of vertices."

It's from Mathematics Form & Function Chapter 1 part 7. (page 21 in my copy).