tablinum
Could not find tablini in Logeion dictionaries.
tablini Noun: neuter genitive singular of tablinum
tablīnum, i, v. tabulinum.
tablīnum, ī, n., s. tabulīnum.
tablīnum Plin. 35, 7 ; Vitr. Arch. 6, 3, 5, et tăbŭlīnum, ī, n. Varr. d. Non. 83, 21 ; Apul. Flor. 23, endroit planchéié, galerie : Varro || tablinum, archives : Plin. || galerie de tableaux : Apul.
TABLINUM
TABLI´NUM[DOMUSVol. 1. p. 670 b. ]
Tablīnum
A room in a Roman dwelling-house. See domus, p. 545.