  We give a more precise characterisation of the end of the electroweak phase
transition in the framework of the effective 3d SU(2)--Higgs lattice model than
has been given before. The model has now been simulated at gauge couplings
beta_G=12 and 16 for Higgs masses M_H^*=70, 74, 76 and 80 GeV up to lattices
96^3 and the data have been used for reweighting. The breakdown of finite
volume scaling of the Lee-Yang zeroes indicates the change from a first order
transition to a crossover at lambda_3/g_3^2=0.102(2) in rough agreement with
results of Karsch et al (hep-lat/9608087) at \beta_G=9 and smaller lattices.
The infinite volume extrapolation of the discontinuity Delta < phi^+ phi >
/g_3^2 turns out to be zero at lambda_3/g_3^2=0.107(2) being an upper limit. We
comment on the limitations of the second method.
