Raising the index finger during tashahud

I have come across a Hadith narrated by Wail ibn Hujr (Radhiyallahu Anhu) on the description of the prophetic prayer in Abu Dawood, and there I found that we should raise the index finger from the starting of tashahud to the end of salah and we should slightly move (shivering/vibrating it in an infinitesimally small distance) but the people of my community raise their finger only while saying ash hadu an la I laha... (I know both of it can be done, but I would like to prefer the authenticity one) and so I did it up to now! Hanafi/Shafi school do it I think so, but could you please tell me what to do now.