There's seating for 36 in the dining room proper, but there's also stacks of table-seating in the part of the lounge leading up to that (by memory, around halfway from the bar to the buffet) and also across from the self-serve buffet.

Also and for those interested, here's a link to download a PDF (10.5MB) copy of the Polaris SFO menus, as provided to media in the press pack: https://www.dropbox.com/s/jjv4i9s97g...0Menu.pdf?dl=0