yea Jim is right they are def Humbolt Squid. The little ones have been around La Jolla of and on for months now.
In regards to their size and spawning, I have found much smaller Humbolt squid in the stomach contents from bluefin, albacore, and even yellowfin tuna caught locally in recent years. Although this still doesn't prove that they are successfully spawning locally. I believe they have found a few adults that were gravid, but it didn't appears that they were actively spawning... but who knows really
Several people are doing research on these guys here in La Jolla... but not at Scripps. The researchers just up the hill from Scripp's at The National Marine Fisheries Southwest Fisheries Science Center are the ones you would want to donate the squid to should you be interested. You can call me and I would gladly pick them up at the launch.
Interestingly enough, the Humbolt that I landed in early December was
Loligo opanescnes (market squid). The Humbolts have voracious appetites. I would be making market squid for bait and then out of nowhere they would diappear and it would be WFO jumbos!