I'm just an interested frequent flyer so I apologise if I'm talking nonsence but are you sure about the 34, the 109 and the 610,000lbs Groundloop?
All the data I used is in Boeing's own Technical Information here:-
http://www.boeing.com/commercial/airports/acaps/777rsec7.pdf
Page 150 has the ACN values and Page 156 has the chart for calculating the take-off mass for a given limiting PCN value.