ἀξιοπίστως
From LSJ
Ποιητὴς, ὁπόταν ἐν τῷ τρίποδι τῆς Μούσης καθίζηται, τότε οὐκ ἔμφρων ἐστίν → Whenever a poet is seated on the Muses' tripod, he is not in his senses
Russian (Dvoretsky)
ἀξιοπίστως:
1) достоверно, надежно (συνῶπται Arst.);
2) с кажущимся правдоподобием (ψεύδεσθαι Polyb.).