How can I get a word (some word) represented by a Thurston's left normal form?

How do I check equality of two Thurston's left normal forms?

How do I check if two Thurston's left normal forms are conjugate using Super Summit Set construction?

How do I check if two Thurston's left normal forms are conjugate using Ultra Summit Set construction?

How do I check that Thurston's left normal form is trivial?

How do I compute a representative of the super summit set for a Thurston's left normal form?

How do I create Thurston's left normal form of a braid word?

How do I invert a Thurston's left normal form?

How do I multiply two Thurston's left normal forms?

How do I output Thurston's left normal form?