you won't find a lot of informations in the 27" service manual except the leds meaning I gave you earlier.
these service manuals, I quite never use them. you have 5 boards in the computer, it's all simple logic to find the faulty one.
in your case, it's certainly the graphic card faulty.
there was an exchange program for these, but it is discontinued now.
we have an internal program for the apple technicians, that tells us if the graphic card is considered as defective from this exchange program.
go to an apple service center, ask them ho much they charge you for launching this program on your imac
if the program says "failed" then you can claim apple to change it free of charge.
these 2011 imacs will become vintage in the coming months (may be even in december), so don't loose time.
after that it will be impossible to change them, you will get only loosy cards from ebay, or heat the graphic chip for some months of use.