Dear Andrea,
     Thank you very much for explanation. 
     But I don't get it. What do you mean by 6g and 8u? Which lines do 6g and 8u ( also 7+ 7-)correspond to?
     And I can not see why your argument can lead to different parity product for nosoc and  soc case.
     I still don't know why my counting is wrong.

best regards
    
     

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