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Prove AbhyankarSathaye (openai/math family 049: A stable-coordinate counterexample in four variables) in…

Prove AbhyankarSathaye (openai/math family 049: A stable-coordinate counterexample in four variables) in…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 049 of the release, A stable-coordinate counterexample in four variables (Algebraic…

The task

Context: this statement belongs to family 049 of the release, *A stable-coordinate counterexample in four variables* (Algebraic and complex geometry). The family as a whole: Constructs a polynomial in four complex variables that is not a coordinate but becomes one after adjoining a single variable, disproving the…

Part of raising-heart/openai-math.