Can you explain what function do you mean by 'function expression' please? Also, when I executing Table[{σ, f[σ]}, {σ, 0, 20000, 5000}], I get:
{{0, Re[f[0]]}, {5000, Re[f[5000]]}, {10000, Re[f[10000]]}, {15000,
Re[f[15000]]}, {20000, Re[f[20000]]}}
Is this correct?