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 0.03151(0.00019)   9.222(0.15) 0.4512(6.5e-05) 0.01068(0.016) 0.001556(1.9e-05) -7.758e-08(1.2e-07) 5.759e-10(1.3e-09) 7.085e-12(1e-11) 0.7742(8.7e-05) 0.9105(0.0002) -0.2726(0.00034) 0.6025(0.0014) -3.193(0.012) 0.1095(0.00012)
 128  0.2705 0.4526(0.0038)      749.3(9) 0.3984(0.00013) 0.4893(0.0038) 0.2506(0.0034) -0.09218(0.0031) 0.1534(0.0079) -0.5512(0.038) 0.9955(0.00043) 1.42(0.00099) -1.436(0.0038)  8.848(0.037)  -121.5(0.68) 0.2371(0.0003)
 128    0.28 1.456(0.00017)  4.221(0.059) 0.2382(6.3e-05) 0.6665(2.3e-06)  2.12(0.0005) -8.983(0.0043)   152.3(0.11)    -5487(5.2) 1.483(0.00015) 2.69(0.00044) -9.801(0.0041)   171.1(0.11)    -6397(5.4) 0.4515(4.7e-05)
