German self-announcement in Göttingische gelehrte Anzeigen. The digital transcription reproduces the argument about terminology, Gaussian integers and the complex plane. Its concluding discussion is the source of the wording quoted in the exam; this is distinct from the Latin memoir printed in 1832.
Original Latin memoir on biquadratic residues. ETH-Bibliothek record and facsimile, DOI doi.org/10.3931/e-rara-61067 . Presented in 1831; the linked original printing is dated 1832.