Another word for accurately

I'll attempt to relate my thoughts and feeling as accurately as possible.

It must have been between 1160 and 1209 that he held this position; but the date at which he lived and wrote cannot be more accurately determined.

These excerpts, however, have been so pieced together, that it is often impossible to separate them with precision, and to distinguish accurately between earlier and later elements.

The synchronous revolutions of the transmitting cylinders are effected by making one cylinder revolve slightly faster than the other; after each revolution the cylinder which is accelerated is arrested for a moment by means of a special relay until the difference of speed is accurately compensated for.

Connor's description of being in the holding cell 'losing his mind and living a nightmare' accurately described his feelings.