HP 9810 A transformer

[calc_you_later]

I have recently acquired an HP 9810A and want to get it working again. When turning it on it blows the 6A fuse and no lights on the console turn on, so I took it apart and I think it's the transformer that's the issue.



In the image there are 7 contacts, from top left to bottom right they are:

7 6 5
4 3 2 1

When I continuity test 7, 6, and 5 they are all connected, could it be a short in the coil somewhere?

Also any ideas of what else I could try / test?

Thanks