Question: Express one (suitable) algebraic number in the field generated by another?

For instance, I would like to represent “3^(1/3)” and “4^(1/4)” respectively as elements of the field generated by “3^(1/3) + 2^(1/2) + 1^(1/1)”. 
I think the Algebraic package and the evala procedure should already offer a direct command, but I couldn't find it. The following results are computed by SymPy's `to_number_field` function: 

-48/755*(3^(1/3) + 2^(1/2) + 1^(1/1))^5 + 
 213/755*(3^(1/3) + 2^(1/2) + 1^(1/1))^4 - 
 52/755*(3^(1/3) + 2^(1/2) + 1^(1/1))^3 - 
 174/755*(3^(1/3) + 2^(1/2) + 1^(1/1))^2 - 
 232/755*(3^(1/3) + 2^(1/2) + 1^(1/1)) + 
 277/151: # originally computed by SymPy's `to_number_field`
is(3^(1/3) = %);
                              true

48/755*(3^(1/3) + 2^(1/2) + 1^(1/1))^5 - 
 213/755*(3^(1/3) + 2^(1/2) + 1^(1/1))^4 + 
 52/755*(3^(1/3) + 2^(1/2) + 1^(1/1))^3 + 
 174/755*(3^(1/3) + 2^(1/2) + 1^(1/1))^2 + 
 987/755*(3^(1/3) + 2^(1/2) + 1^(1/1)) - 
 428/151: # originally computed by SymPy's `to_number_field`
is(4^(1/4) = %);
                              true

Does there exist a direct command in Maple to find the above representations?