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Counterexamples to a Conjecture of Ahmadi and Shparlinski

Counterexamples to a Conjecture of Ahmadi and Shparlinski

Ahmadi-Shparlinski conjectured that every ordinary, geometrically simple Jacobian over a finite field has maximal angle rank. Using the L-Functions and Modular Forms Database, we provide two counterexamples to this conjecture in dimension 4.