quadri-election

Candidacy for the fourth term of a political office or other position.

Quadri-election (re-re-re-election) refers to the fourth term.

quadri-elected

When someone or something wins the fourth term.

That person was quadri-elected (re-re-re-elected). In the presidential elections of the United States of America, Franklin D. Roosevelt was elected in 1932, re-elected in 1936, tri-elected in 1940 and quadri-elected in 1944.