scandalously
From LSJ
Οὐκ ἔστιν αἰσχρὸν ἀγνοοῦντα μανθάνειν → Non est inhonestum ea, quae nescis, discere → nicht schändlich ist's, dass einer lernt, was er nicht weiß
scandalously: P. and V. αἰσχρῶς, ἀναξίως, P. ἐπονειδίστως.
basely: P. and V. κακῶς, πονηρῶς.
calumniously: P. διαβόλως, συκοφαντικῶς.