Although I am a fan of f1's for road they are the worst affected tyre I have used on track over the last 15 yeasts. They sort of melted although was a baking hot day at silver stone. Keep to shortish sessions as a novice as in warm up for a lap or two have a good 15 mins then cool down lap and you'll find you take remarkably little off the tyres and brakes etc I've found they wear more once you do longer sessions by more than just the extra miles would suggest.
I liked 888 on track and for competitive use but they could go off very quickly on timed runs whereas the federal semi slicks are awesome at half the price but 99% of the grip do not go off as quick and have lasted years. Not good on the road though in heavy rain.
My favourite for a road car with occasional track is bridgestone Re for the cost vs overall performance and longevity
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