Singular

hello,


Please can you me say how can i prove , by use of singular, that the functions
3x^{2}, 5y{4} + z^{6}, 7z^{6} + 6yz^{5}

are "holomorphically" (or alg.) independents on the structural sheaf of holomorphics functions of the surface {x^{3} + y^{5} + z^{7} + yz^{6}=0} ?

thank you very much...
PS: i have no answer about tjurina and milnor question....