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Is there some method in Sage to decompose an involution in Weyl group as a product of $2$-cycles?

For example, I define

W=WeylGroup(['A', 3], prefix='s')
t1=[1,2,3,1,2,1]
t2=W.from_reduced_word(t1)

How to write t2 as a product of $2$-cycles? Thank you very much.

Is there some method in Sage to decompose an involution in Weyl group as a product of $2$-cycles?$2$-cycles (transpositions)?

For example, I define

W=WeylGroup(['A', 3], prefix='s')
t1=[1,2,3,1,2,1]
t2=W.from_reduced_word(t1)

How to write t2 as a product of $2$-cycles? Thank you very much.

Is there some method in Sage to decompose an involution in Weyl group as a product of $2$-cycles (transpositions)?

For example, I define

W=WeylGroup(['A', 3], prefix='s')
t1=[1,2,3,1,2,1]
t2=W.from_reduced_word(t1)

How to write t2 as a product of $2$-cycles? The result should be $(1,6)(2,5)(3,4)$. Thank you very much.

Is there some method in Sage to decompose an involution in Weyl group as a product of $2$-cycles (transpositions)?

For example, I define

W=WeylGroup(['A', 3], prefix='s')
t1=[1,2,3,1,2,1]
t2=W.from_reduced_word(t1)

How to write t2 as a product of $2$-cycles? The result should be $(1,6)(2,5)(3,4)$. $(1,4)(2,3)$. Thank you very much.