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Can I run Ornith-1.0-35B-GGUF on an RTX 4090?

Yes, just

Its Q4_K_M file (21.2 GB) fits in the 21.6 GB an RTX 4090 can use, with room for ≈ 18K tokens of context.

Full analysis of Ornith-1.0-35B-GGUF Everything that runs on RTX 4090 Get the Q4_K_M file on Hugging Face
ollama run hf.co/ornith-ai/Ornith-1.0-35B-GGUF:Q4_K_M

Files and context on RTX 4090

Each file of Ornith-1.0-35B-GGUF (and of GGUF versions the site has analyzed), and how much context fits next to it, with the context cache in 16-bit or 8-bit.

FileSizeOn RTX 4090 Context (16-bit)Context (8-bit)
BF1669.4 GBDoesn't fit——
Q8_036.9 GBDoesn't fit——
Q6_K28.5 GBDoesn't fit——
Q5_K_M24.7 GBDoesn't fit——
Q4_K_M21.2 GBTight18K35K

Ornith-1.0-35B-GGUF on other hardware

Popular models that run on RTX 4090

Assumes 90% of the card's memory is usable and at least 4K tokens of context for one conversation, with the context cache in 16-bit unless noted. Fits leaves at least 20% of that memory for context; Tight leaves less.