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A model is proposed for the structure of the wall separating two domains in ferromagnetic films. It is not a pure Ritz model, because it contains a function which has to be defined numerically. Rather, this function is expressed in terms of some roots of a polynomial whose coefficients depend only on the two Ritz parameters of the problem. However, the function can be written as a power series in the argument, with analytic expressions for the coefficients, to any required accuracy. In this respect the model has all the advantages of an analytic Ritz model, for using in other problems like wall mobilities or domain structures. It leads to a very pronounced asymmetry, which is in accordance with recent electron microscope observations, and which could be obtained until now only by functions defined numerically during the energy minimization process.