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Suppose a and b are elements of a symmetric group that are conjugate, how to find a conjugating element in sage?

For example,

G=SymmetricGroup(3);
a=G((1,2))
b=G((2,3))

Then

G.conjugacy_class(a) == G.conjugacy_class(b)

is true, but is there a function to give x such that xa==bx?

simultaneous conjugacy in Sn Is there a built-in function in sage to determine whether two pairs (a,b) and (c,d) of elem

finding conjugating element for two conjugate permutations Suppose a and b are elements of a symmetric group that are co

Thanks tmonteil, that's good to know! Is there also a way to convert the list of coefficients to a list of equations, setting each coefficient == 0?

Hi there, I have a matrix A with entries depending linearly on a number of parameters a1,...,an, and would like to solve the equation A=0. It seems I need to convert A to a list of equations of the form "entry=0" and then use solve(eqns, a1,...,an); but how do I convert A to such a list?

Any help appreciated!