Randomized finite-field Groebner computations give g0(X,C8)=8652, so Alt's problem has at most 4,326 four-bar linkages and 1,442 coupler curves, matching prior numerical results.
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Probabilistic Saturations and Alt's Problem
Randomized finite-field Groebner computations give g0(X,C8)=8652, so Alt's problem has at most 4,326 four-bar linkages and 1,442 coupler curves, matching prior numerical results.