Elementary computation of ramified components of the Jacobi sum Hecke characters

R. Coleman and W. McCallum calculated ramified components of the Jacobi sum Hecke characters explicitly using their computation of the stable reduction of the Fermat curve in Coleman and McCallum (1988) [CW]. In this paper, we give an elementary proof of the main result of them without using rigid geometry or the stable model of the Fermat curve.