It was at 1.013 at 41F? That means it should be more like 1.011-1.012 at 68F. It reads higher when it's colder.
Bingo - I missed that. Your hydrometer will have a calibration chart that you need to use according to temp. If you are using a tight ranged la thermometer, for instance, it could be off many points at cooler or warmer temps. Sounds like you are probably right in your range after all.
OP here..... wow, things got out hand quickly!
The gravity reading was done with a refractometer (with alcohol correction), sample warmed to 20C. I mentioned the lower temperature, as a reference for how far the beer has fermented, vs how far I had lowered the temp, not in regards to the temp of the actual sample I measured. Sorry for the confusion.
The mash schedule was hochkurz double decoction with rests at 143 and 158.
I have had the beer sitting at 20 C (68 F) for a few days now, and it has dropped to 1.012, and seems to be working slowly still. It is still pretty 'green' so I'm hoping a little longer at this raised temp will clean it up a bit more (Including of course, a good months lagering also). How clean should I expect it to be pre lagering? No nasty esters or jet fusels, Just a bit rough, and a touch of diacetyl currently. The already subtle flavours of the beer are being obscured a bit at this point.
I am now torn as to which method to ferment with my next lagers. This beer was a trial beer to make mistakes on, so I can do some Oktoberfest beers for a party later in the year. A festbier, and Dunkel. I am really keen on succeeding at the traditional cold method, but this has left me lacking in confidence! Although I do know where I went wrong. Dropped temps too fast + probably slightly underpitched for this method.