Not sure on cooking times and that depends on taste anyway (recommend medium rare(raw in centre))
But
1) Cover meat with rock salt (a lot of salt so much that you cant see the steak anymore) leave 10 minutes then wash off, this breaks down proteins and makes the steak really blood red instead of pink, the fat becomes bright white and it is given mega texture (It doesnt taste salty)
2) Leave meat to reach room temperature that is a must unless you are going for well done steak, in which case throw it in the bin and order a take away
3) dont use too much oil, i personally rub the steak in oil with my hands because i dont have a brush! also bit of pepper
4) turn the heat up to the absolute maximum, unless you have some insane cooker (sunflower oil should smoke so put a drop in the pan as an indicator. FYI olive oil smokes at much lower temperatures)
5) Only turn the steak once, do not turn it twice
YUM! I know thats rare not medium-rare but i rarely ever have fillet steak and to have it like that is really difficult