Going on from the last person to do it properly, with York's correct number...
Birmingham - 26
Bristol - 29 (+5)
Cambridge - 16
Cardiff - 20
Durham - 20
Edinburgh - 24
Exeter - 25
Glasgow - 29
Imperial - 18
King's - 25
Leeds - 22
Liverpool - 19
LSE - 20
Manchester - 28
Newcastle - 26
Nottingham - 26
Oxford - 24
Queen Mary - 26
Queen's Belfast - 20
Sheffield - 31
Southampton - 25
UCL - 22
Warwick - 26
York - 26