Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: 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?

### Accurate SQL ###

SELECT MAX(national_university_of_ireland) FROM table_name_57 WHERE total = 60 AND administrative_panel > 7