p-adic representations of mod-5 Dirichlet Characters


Dividing numerators by five,

78
108
223
243

Here are the actual p-adic representations:

1 : 0+p+ p^2+ p^3+ p^4+...
4 : 0+p+3p^2+3p^3+ p^4+...
3 : 0+p+4p^2+2p^3+3p^4+...
2 : 0+p+2p^2+4p^3+3p^4+...

Numerators base five:

3030
4130
13430
14330