HMC (Wolff+FAHMC) physical observables — 2D phi^4, lambda=0.022
columns follow draft/DM.tex Tab. tab:multiL_HMC_cumulants (HMC only)
Z_2-symmetric even-moment cumulants; binned jackknife over cfgs (n_bins=50).
chi = V(<M^2>-<|M|>^2),  U4 = 1 - <M^4>/(3<M^2>^2),
k0_n = zero-mode cumulants of M=phi_bar,  kn_s = single-site (persite_avg).

   L       k       <|phi|>           chi         <S>/V            U4          k0_2          k0_4          k0_6          k0_8     <|phi_x|>          k2_s          k4_s          k6_s          k8_s          U4_s
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
 128    0.26 0.03144(0.00046)   9.188(0.31) 0.4513(9.8e-05) 0.01278(0.029) 0.001549(4.2e-05) -9.198e-08(2.1e-07) -1.838e-09(1.6e-09) 4.86e-12(1.6e-11) 0.774(0.00017) 0.9103(0.00036) -0.2744(0.00067) 0.6097(0.003) -3.355(0.038)  0.11(0.0002)
 128  0.2705 0.4482(0.0054)     776.5(15) 0.3984(0.00018) 0.4839(0.0063) 0.2482(0.0045) -0.08946(0.0043) 0.1463(0.011) -0.5171(0.051) 0.9949(0.00055) 1.419(0.0013) -1.434(0.0047)   8.84(0.047)   -121.8(0.9) 0.2368(0.00036)
 128    0.28 1.456(0.00037)   4.216(0.16) 0.2383(0.00014) 0.6665(6e-06)  2.12(0.0011) -8.984(0.009)   152.3(0.23)     -5488(11) 1.483(0.00031) 2.69(0.00092) -9.807(0.0088)   171.3(0.23)     -6415(12) 0.4514(0.00011)
