Table schema:
CREATE TABLE table_name_57 (national_university_of_ireland INTEGER, total VARCHAR, administrative_panel VARCHAR)

Question: What was the greatest number of members for the National University of Ireland, when the Total number of members in the Seanad was 60, and when the Administrative Panel had more than 7 members?
SQL: SELECT MAX(national_university_of_ireland) FROM table_name_57 WHERE total = 60 AND administrative_panel > 7