Analytic classification of plane branches up to multiplicity 4

We perform the analytic classification of plane branches of multiplicity less than or equal to four. This is achieved by computing a Standard Basis for the modules of Kähler differentials of such branches by means of the algorithm developed in Hefez, A., Hernandes, M.E., 2007a. Standard bases for local rings of branches and their module of differentials. J. Symbolic Comput. 42, 178–191] and then applying the classification method for plane branches given in Hefez, A., Hernandes, M.E., 2007b. The analytic classification of plane branches. arXiv:0707.4502].