CREATE TABLE table_34677 ("Administrative Panel" FLOAT, "Agricultural Panel" FLOAT, "Cultural and Educational Panel" FLOAT, "Industrial and Commercial Panel" FLOAT, "Labour Panel" FLOAT, "National University of Ireland" FLOAT, "University of Dublin" FLOAT, "Nominated by the Taoiseach" FLOAT, "Total" FLOAT)

What is the lowest number for the University of Dublin, having and administrative panel of 3, and a Cultural and Educational panel less than 2?
SELECT MIN("University of Dublin") FROM table_34677 WHERE "Administrative Panel" = '3' AND "Cultural and Educational Panel" < '2'
SELECT MIN("University of Dublin") FROM "table_34677" WHERE "Administrative Panel" = '3' AND "Cultural and Educational Panel" < '2'