I don't know if anyone is still reading this so long after the election but the London Elects site has just published a breakdown of the votes for the three elections (mayor, list members, constituency members) at http://results.londonelects.org.uk/results/xls/
This is an excel file that is not that easy to follow unless you know what you're looking for (we're candidate No 4 for Lambeth and Southwark). Anyway, here for the record, and in more readable form, are the highlights from Lambeth and Southwark constituency election.
SOC 917 (1.1%)
SOC 671 (0.8%)
Clearly, we're more popular in Lambeth than Southwark (while Animals and English Nationalists are more popular in Southwark). Which makes sense since we've been contesting parliamentary and local elections there for years and most of our election leaflets were distributed there.
Our prize result was in the Larkhall ward in Lambeth, roughly the area between Clapham North and Stockwell tube stations (postal votes not included):
SOC 71 (2.3%)
To be complete our best result in Southwark was in Faraday ward. Don't know why. Don't even know where it is without checking:
SOC 39 (1.4%)
Just checked. It's part of Walworth. Maybe it reflects the outdoor speaking station we ran at East Street from the 1930s to the 1960s.
Our worst result was in Surrey Docks ward of Southwark, now inhabited by yuppies, where we only got 18 votes. But at least we got more than double the number who voted for the LeftList (aka SWP), whose 8 votes was the lowest number cast for any candidate in any ward.