N=10 M=3 dim=1048576 nnz=4194240 build=0.1s
  truncated moments: m2=4.0000000000 m4=24.0000000000 m6=154.6666666667   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 5.097531172189403e-14
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 6.7s:
    theta_1 = 2.585375488681   vacuum weight |<Omega,v>|^2 = 0.251833919362   <v,Rv> = +1.000000   mean particle number = 1.1990
    theta_2 = 1.963294787192   vacuum weight |<Omega,v>|^2 = 0.009258565395   <v,Rv> = +1.000000   mean particle number = 4.5172
    theta_3 = 1.947190879951   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 4.3201
    theta_4 = 1.925672793426   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 4.2908
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 6.8s:
    eta_1 = 2.092604242751   nu-weight |<xi/2,v>|^2 = 0.110020124328   <v,Rv> = +1.000000
    eta_2 = 1.947190879951   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_3 = 1.939563685348   nu-weight |<xi/2,v>|^2 = 0.008138355189   <v,Rv> = +1.000000
    eta_4 = 1.925672793426   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
N=10 M=4 dim=9765625 nnz=39062416 build=1.5s
  truncated moments: m2=4.0000000000 m4=24.0000000000 m6=154.6666666667   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 1.4237314536981997e-13
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 91.2s:
    theta_1 = 2.585482870391   vacuum weight |<Omega,v>|^2 = 0.251706418490   <v,Rv> = +1.000000   mean particle number = 1.2001
    theta_2 = 1.978636393706   vacuum weight |<Omega,v>|^2 = 0.007366960517   <v,Rv> = +1.000000   mean particle number = 4.7428
    theta_3 = 1.965322792100   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 4.6371
    theta_4 = 1.948032443298   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 4.6333
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 39.0s:
    eta_1 = 2.095469002932   nu-weight |<xi/2,v>|^2 = 0.106671143693   <v,Rv> = +1.000000
    eta_2 = 1.965322792100   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_3 = 1.959336087602   nu-weight |<xi/2,v>|^2 = 0.007058138464   <v,Rv> = +1.000000
    eta_4 = 1.948032443298   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
N=11 M=3 dim=4194304 nnz=16777146 build=0.5s
  truncated moments: m2=4.0000000000 m4=24.0000000000 m6=154.6666666667   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 9.738560773758707e-14
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 17.2s:
    theta_1 = 2.585456984456   vacuum weight |<Omega,v>|^2 = 0.251743900865   <v,Rv> = +1.000000   mean particle number = 1.1997
    theta_2 = 1.969459612445   vacuum weight |<Omega,v>|^2 = 0.008617107752   <v,Rv> = +1.000000   mean particle number = 4.5907
    theta_3 = 1.938838815795   vacuum weight |<Omega,v>|^2 = 0.001408801669   <v,Rv> = +1.000000   mean particle number = 4.4728
    theta_4 = 1.915385259332   vacuum weight |<Omega,v>|^2 = 0.003393664351   <v,Rv> = +1.000000   mean particle number = 4.4700
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 37.5s:
    eta_1 = 2.094135668367   nu-weight |<xi/2,v>|^2 = 0.108508781412   <v,Rv> = +1.000000
    eta_2 = 1.953257686662   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_3 = 1.948297312051   nu-weight |<xi/2,v>|^2 = 0.006172254861   <v,Rv> = +1.000000
    eta_4 = 1.931310887280   nu-weight |<xi/2,v>|^2 = 0.005306692223   <v,Rv> = +1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
N=12 M=2 dim=531441 nnz=2125712 build=0.1s
  truncated moments: m2=4.0000000000 m4=24.0000000000 m6=154.5925925926   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 3.7354926945325644e-14
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 4.5s:
    theta_1 = 2.583170833903   vacuum weight |<Omega,v>|^2 = 0.253513804247   <v,Rv> = +1.000000   mean particle number = 1.1884
    theta_2 = 1.933322652165   vacuum weight |<Omega,v>|^2 = 0.010605147474   <v,Rv> = +1.000000   mean particle number = 4.3732
    theta_3 = 1.913783512350   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 4.1455
    theta_4 = 1.887588359250   vacuum weight |<Omega,v>|^2 = 0.003033264629   <v,Rv> = +1.000000   mean particle number = 4.2347
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 2.6s:
    eta_1 = 2.077937627459   nu-weight |<xi/2,v>|^2 = 0.118365193917   <v,Rv> = +1.000000
    eta_2 = 1.913783512350   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_3 = 1.905973638446   nu-weight |<xi/2,v>|^2 = 0.009458029666   <v,Rv> = +1.000000
    eta_4 = 1.885507606067   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
N=13 M=2 dim=1594323 nnz=6377236 build=0.2s
  truncated moments: m2=4.0000000000 m4=24.0000000000 m6=154.6035502959   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 6.218486162721641e-14
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 9.6s:
    theta_1 = 2.583538919623   vacuum weight |<Omega,v>|^2 = 0.253220207558   <v,Rv> = +1.000000   mean particle number = 1.1903
    theta_2 = 1.941210550155   vacuum weight |<Omega,v>|^2 = 0.009995376859   <v,Rv> = +1.000000   mean particle number = 4.4366
    theta_3 = 1.922320814752   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 4.2245
    theta_4 = 1.900429347068   vacuum weight |<Omega,v>|^2 = 0.001904235734   <v,Rv> = +1.000000   mean particle number = 4.2988
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 6.6s:
    eta_1 = 2.080859186541   nu-weight |<xi/2,v>|^2 = 0.116373941979   <v,Rv> = +1.000000
    eta_2 = 1.922320814752   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_3 = 1.915451808162   nu-weight |<xi/2,v>|^2 = 0.008796634750   <v,Rv> = +1.000000
    eta_4 = 1.893697539980   nu-weight |<xi/2,v>|^2 = 0.003328479554   <v,Rv> = +1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
N=14 M=2 dim=4782969 nnz=19131816 build=0.7s
  truncated moments: m2=4.0000000000 m4=24.0000000000 m6=154.6122448980   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 1.0383070275502995e-13
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 45.3s:
    theta_1 = 2.583835404004   vacuum weight |<Omega,v>|^2 = 0.252982191564   <v,Rv> = +1.000000   mean particle number = 1.1918
    theta_2 = 1.947830152142   vacuum weight |<Omega,v>|^2 = 0.009475805406   <v,Rv> = +1.000000   mean particle number = 4.4934
    theta_3 = 1.929556514366   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 4.2967
    theta_4 = 1.907553041091   vacuum weight |<Omega,v>|^2 = 0.002392801592   <v,Rv> = +1.000000   mean particle number = 4.4048
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 42.8s:
    eta_1 = 2.083267152556   nu-weight |<xi/2,v>|^2 = 0.114703425356   <v,Rv> = +1.000000
    eta_2 = 1.929556514366   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_3 = 1.923284965401   nu-weight |<xi/2,v>|^2 = 0.008519393350   <v,Rv> = +1.000000
    eta_4 = 1.903893369837   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
N=20 M=1 dim=1048576 nnz=4194260 build=0.2s
  truncated moments: m2=4.0000000000 m4=23.6000000000 m6=148.3600000000   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 4.875264809827559e-14
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 6.4s:
    theta_1 = 2.543113790617   vacuum weight |<Omega,v>|^2 = 0.269199938554   <v,Rv> = +1.000000   mean particle number = 1.1199
    theta_2 = 1.842192456568   vacuum weight |<Omega,v>|^2 = 0.009612555102   <v,Rv> = +1.000000   mean particle number = 4.2285
    theta_3 = 1.820725867095   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 4.0678
    theta_4 = 1.799741258125   vacuum weight |<Omega,v>|^2 = 0.002155132429   <v,Rv> = +1.000000   mean particle number = 4.1559
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 8.0s:
    eta_1 = 1.988899248115   nu-weight |<xi/2,v>|^2 = 0.130331139744   <v,Rv> = +1.000000
    eta_2 = 1.820725867095   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_3 = 1.816284028524   nu-weight |<xi/2,v>|^2 = 0.009561001151   <v,Rv> = +1.000000
    eta_4 = 1.792413246756   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
N=6 M=6 dim=117649 nnz=470520 build=0.0s
  truncated moments: m2=4.0000000000 m4=24.0000000000 m6=154.6666666667   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 1.7619649788845152e-14
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 0.7s:
    theta_1 = 2.584956378208   vacuum weight |<Omega,v>|^2 = 0.252263976192   <v,Rv> = +1.000000   mean particle number = 1.1964
    theta_2 = 1.957903459208   vacuum weight |<Omega,v>|^2 = 0.008894247072   <v,Rv> = +1.000000   mean particle number = 4.7050
    theta_3 = 1.951208216377   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 4.6216
    theta_4 = 1.900003225499   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 4.4293
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 0.7s:
    eta_1 = 2.087708280805   nu-weight |<xi/2,v>|^2 = 0.113059745257   <v,Rv> = +1.000000
    eta_2 = 1.951208216377   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_3 = 1.929440468060   nu-weight |<xi/2,v>|^2 = 0.014879161819   <v,Rv> = +1.000000
    eta_4 = 1.900003225499   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
N=6 M=8 dim=531441 nnz=2125664 build=0.0s
  truncated moments: m2=4.0000000000 m4=24.0000000000 m6=154.6666666667   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 3.4091406509127574e-14
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 4.2s:
    theta_1 = 2.584956395843   vacuum weight |<Omega,v>|^2 = 0.252263935193   <v,Rv> = +1.000000   mean particle number = 1.1964
    theta_2 = 1.958979733452   vacuum weight |<Omega,v>|^2 = 0.008554064182   <v,Rv> = +1.000000   mean particle number = 4.7915
    theta_3 = 1.952608822413   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 4.7430
    theta_4 = 1.901695543179   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 4.6050
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 2.4s:
    eta_1 = 2.087725731593   nu-weight |<xi/2,v>|^2 = 0.113012384189   <v,Rv> = +1.000000
    eta_2 = 1.952608822413   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_3 = 1.931859767808   nu-weight |<xi/2,v>|^2 = 0.014205506094   <v,Rv> = +1.000000
    eta_4 = 1.901695543179   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
N=7 M=5 dim=279936 nnz=1119670 build=0.0s
  truncated moments: m2=4.0000000000 m4=24.0000000000 m6=154.6666666667   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 2.672377794737113e-14
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 1.9s:
    theta_1 = 2.585167301466   vacuum weight |<Omega,v>|^2 = 0.252041588237   <v,Rv> = +1.000000   mean particle number = 1.1979
    theta_2 = 1.967343534541   vacuum weight |<Omega,v>|^2 = 0.006888612972   <v,Rv> = +1.000000   mean particle number = 4.6766
    theta_3 = 1.948089466093   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 4.4847
    theta_4 = 1.938409291580   vacuum weight |<Omega,v>|^2 = 0.004303042815   <v,Rv> = +1.000000   mean particle number = 4.6971
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 1.9s:
    eta_1 = 2.090730026807   nu-weight |<xi/2,v>|^2 = 0.110637511779   <v,Rv> = +1.000000
    eta_2 = 1.952676458956   nu-weight |<xi/2,v>|^2 = 0.004484800498   <v,Rv> = +1.000000
    eta_3 = 1.948089466093   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_4 = 1.913916131518   nu-weight |<xi/2,v>|^2 = 0.017002898572   <v,Rv> = +1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
N=7 M=6 dim=823543 nnz=3294084 build=0.1s
  truncated moments: m2=4.0000000000 m4=24.0000000000 m6=154.6666666667   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 4.318737849547272e-14
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 6.6s:
    theta_1 = 2.585167603463   vacuum weight |<Omega,v>|^2 = 0.252040997291   <v,Rv> = +1.000000   mean particle number = 1.1979
    theta_2 = 1.970057289261   vacuum weight |<Omega,v>|^2 = 0.006238046213   <v,Rv> = +1.000000   mean particle number = 4.8113
    theta_3 = 1.950788464781   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 4.6241
    theta_4 = 1.942348428426   vacuum weight |<Omega,v>|^2 = 0.004217754194   <v,Rv> = +1.000000   mean particle number = 4.8902
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 6.9s:
    eta_1 = 2.090824109311   nu-weight |<xi/2,v>|^2 = 0.110428707918   <v,Rv> = +1.000000
    eta_2 = 1.956690357606   nu-weight |<xi/2,v>|^2 = 0.004299624713   <v,Rv> = +1.000000
    eta_3 = 1.950788464781   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_4 = 1.919859123306   nu-weight |<xi/2,v>|^2 = 0.015224461119   <v,Rv> = +1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
N=8 M=4 dim=390625 nnz=1562432 build=0.0s
  truncated moments: m2=4.0000000000 m4=24.0000000000 m6=154.6666666667   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 3.176146999976769e-14
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 2.9s:
    theta_1 = 2.585304054347   vacuum weight |<Omega,v>|^2 = 0.251899413793   <v,Rv> = +1.000000   mean particle number = 1.1988
    theta_2 = 1.966476831151   vacuum weight |<Omega,v>|^2 = 0.008651938632   <v,Rv> = +1.000000   mean particle number = 4.5787
    theta_3 = 1.953907314656   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 4.4353
    theta_4 = 1.927380541512   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 4.3669
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 2.3s:
    eta_1 = 2.092375288747   nu-weight |<xi/2,v>|^2 = 0.109647387353   <v,Rv> = +1.000000
    eta_2 = 1.953907314656   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_3 = 1.942796730949   nu-weight |<xi/2,v>|^2 = 0.009467375985   <v,Rv> = +1.000000
    eta_4 = 1.927380541512   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
N=8 M=5 dim=1679616 nnz=6718380 build=0.2s
  truncated moments: m2=4.0000000000 m4=24.0000000000 m6=154.6666666667   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 6.164731758829353e-14
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 7.8s:
    theta_1 = 2.585310351923   vacuum weight |<Omega,v>|^2 = 0.251889498387   <v,Rv> = +1.000000   mean particle number = 1.1989
    theta_2 = 1.973292537693   vacuum weight |<Omega,v>|^2 = 0.007445358275   <v,Rv> = +1.000000   mean particle number = 4.7673
    theta_3 = 1.962567377881   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 4.7094
    theta_4 = 1.936581813289   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 4.6194
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 5.5s:
    eta_1 = 2.092951299837   nu-weight |<xi/2,v>|^2 = 0.108673975597   <v,Rv> = +1.000000
    eta_2 = 1.962567377881   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_3 = 1.952369592066   nu-weight |<xi/2,v>|^2 = 0.009030912027   <v,Rv> = +1.000000
    eta_4 = 1.936581813289   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
N=8 M=6 dim=5764801 nnz=23059104 build=0.7s
  truncated moments: m2=4.0000000000 m4=24.0000000000 m6=154.6666666667   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 1.074727882428545e-13
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 55.5s:
    theta_1 = 2.585310518409   vacuum weight |<Omega,v>|^2 = 0.251889167793   <v,Rv> = +1.000000   mean particle number = 1.1989
    theta_2 = 1.975284503126   vacuum weight |<Omega,v>|^2 = 0.006946586446   <v,Rv> = +1.000000   mean particle number = 4.8788
    theta_3 = 1.965363229070   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 4.8832
    theta_4 = 1.939461689861   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 4.7759
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 33.0s:
    eta_1 = 2.093012900734   nu-weight |<xi/2,v>|^2 = 0.108530552104   <v,Rv> = +1.000000
    eta_2 = 1.965363229070   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_3 = 1.955726132789   nu-weight |<xi/2,v>|^2 = 0.008707162997   <v,Rv> = +1.000000
    eta_4 = 1.939461689861   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
N=9 M=3 dim=262144 nnz=1048518 build=0.0s
  truncated moments: m2=4.0000000000 m4=24.0000000000 m6=154.6666666667   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 2.6873126438468186e-14
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 0.7s:
    theta_1 = 2.585264372602   vacuum weight |<Omega,v>|^2 = 0.251956113278   <v,Rv> = +1.000000   mean particle number = 1.1982
    theta_2 = 1.955633699493   vacuum weight |<Omega,v>|^2 = 0.009870600406   <v,Rv> = +1.000000   mean particle number = 4.4301
    theta_3 = 1.922050854695   vacuum weight |<Omega,v>|^2 = 0.002196255376   <v,Rv> = +1.000000   mean particle number = 4.2628
    theta_4 = 1.881952893968   vacuum weight |<Omega,v>|^2 = 0.005454423801   <v,Rv> = +1.000000   mean particle number = 4.2612
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 1.8s:
    eta_1 = 2.090591114333   nu-weight |<xi/2,v>|^2 = 0.111954825863   <v,Rv> = +1.000000
    eta_2 = 1.938031116583   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_3 = 1.932896231431   nu-weight |<xi/2,v>|^2 = 0.005998898484   <v,Rv> = +1.000000
    eta_4 = 1.908744825554   nu-weight |<xi/2,v>|^2 = 0.009381087377   <v,Rv> = +1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
N=9 M=4 dim=1953125 nnz=7812424 build=0.2s
  truncated moments: m2=4.0000000000 m4=24.0000000000 m6=154.6666666667   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 6.690608072506663e-14
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 6.8s:
    theta_1 = 2.585407407547   vacuum weight |<Omega,v>|^2 = 0.251787979941   <v,Rv> = +1.000000   mean particle number = 1.1995
    theta_2 = 1.973604485080   vacuum weight |<Omega,v>|^2 = 0.007632083602   <v,Rv> = +1.000000   mean particle number = 4.6663
    theta_3 = 1.948012261832   vacuum weight |<Omega,v>|^2 = 0.002037865947   <v,Rv> = +1.000000   mean particle number = 4.6347
    theta_4 = 1.907526578485   vacuum weight |<Omega,v>|^2 = 0.004737172702   <v,Rv> = +1.000000   mean particle number = 4.6016
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 5.7s:
    eta_1 = 2.094147402036   nu-weight |<xi/2,v>|^2 = 0.107956515132   <v,Rv> = +1.000000
    eta_2 = 1.957853035107   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_3 = 1.956692321392   nu-weight |<xi/2,v>|^2 = 0.004334097417   <v,Rv> = +1.000000
    eta_4 = 1.934428905081   nu-weight |<xi/2,v>|^2 = 0.010005419486   <v,Rv> = +1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
N=9 M=5 dim=10077696 nnz=40310690 build=1.5s
  truncated moments: m2=4.0000000000 m4=24.0000000000 m6=154.6666666667   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 1.4210709333570866e-13
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 64.1s:
    theta_1 = 2.585411523891   vacuum weight |<Omega,v>|^2 = 0.251781422202   <v,Rv> = +1.000000   mean particle number = 1.1996
    theta_2 = 1.979356080797   vacuum weight |<Omega,v>|^2 = 0.006472889409   <v,Rv> = +1.000000   mean particle number = 4.8479
    theta_3 = 1.964352653845   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 4.7293
    theta_4 = 1.957230105112   vacuum weight |<Omega,v>|^2 = 0.002004020524   <v,Rv> = +1.000000   mean particle number = 4.9347
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 55.6s:
    eta_1 = 2.094569615660   nu-weight |<xi/2,v>|^2 = 0.107211165788   <v,Rv> = +1.000000
    eta_2 = 1.965353973963   nu-weight |<xi/2,v>|^2 = 0.003708214452   <v,Rv> = +1.000000
    eta_3 = 1.964352653845   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_4 = 1.944140921263   nu-weight |<xi/2,v>|^2 = 0.009811509839   <v,Rv> = +1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
N=8 M=1 dim=256 nnz=1004 build=0.0s
  truncated moments: m2=4.0000000000 m4=23.0000000000 m6=139.2500000000   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 1.0187012450968437e-15
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 0.0s:
    theta_1 = 2.482905186126   vacuum weight |<Omega,v>|^2 = 0.294594491849   <v,Rv> = +1.000000   mean particle number = 1.0161
    theta_2 = 1.588182534858   vacuum weight |<Omega,v>|^2 = 0.020209051806   <v,Rv> = +1.000000   mean particle number = 3.3672
    theta_3 = 1.546383997837   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 3.0406
    theta_4 = 1.484925095607   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 2.8466
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 0.0s:
    eta_1 = 1.821053979653   nu-weight |<xi/2,v>|^2 = 0.178892963736   <v,Rv> = +1.000000
    eta_2 = 1.546383997837   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_3 = 1.529646452376   nu-weight |<xi/2,v>|^2 = 0.022823339606   <v,Rv> = +1.000000
    eta_4 = 1.484925095607   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
N=12 M=1 dim=4096 nnz=16356 build=0.0s
  truncated moments: m2=4.0000000000 m4=23.3333333333 m6=144.2592592593   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 3.945355918047106e-15
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 0.0s:
    theta_1 = 2.515808408382   vacuum weight |<Omega,v>|^2 = 0.280689554533   <v,Rv> = +1.000000   mean particle number = 1.0711
    theta_2 = 1.729967637979   vacuum weight |<Omega,v>|^2 = 0.014096599587   <v,Rv> = +1.000000   mean particle number = 3.7818
    theta_3 = 1.699923011638   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 3.5297
    theta_4 = 1.664262149971   vacuum weight |<Omega,v>|^2 = 0.003848508473   <v,Rv> = +1.000000   mean particle number = 3.5372
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 0.0s:
    eta_1 = 1.914093611914   nu-weight |<xi/2,v>|^2 = 0.151393339164   <v,Rv> = +1.000000
    eta_2 = 1.699923011638   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_3 = 1.690755579821   nu-weight |<xi/2,v>|^2 = 0.014644408729   <v,Rv> = +1.000000
    eta_4 = 1.656517786913   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
N=16 M=1 dim=65536 nnz=262108 build=0.0s
  truncated moments: m2=4.0000000000 m4=23.5000000000 m6=146.8125000000   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 1.2344005690813294e-14
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 0.1s:
    theta_1 = 2.532768382880   vacuum weight |<Omega,v>|^2 = 0.273547392937   <v,Rv> = +1.000000   mean particle number = 1.1011
    theta_2 = 1.800182028762   vacuum weight |<Omega,v>|^2 = 0.011257559197   <v,Rv> = +1.000000   mean particle number = 4.0432
    theta_3 = 1.749412596936   vacuum weight |<Omega,v>|^2 = 0.002709395631   <v,Rv> = +1.000000   mean particle number = 3.8931
    theta_4 = 1.724405540959   vacuum weight |<Omega,v>|^2 = 0.002064669988   <v,Rv> = +1.000000   mean particle number = 3.7697
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 0.2s:
    eta_1 = 1.960802260644   nu-weight |<xi/2,v>|^2 = 0.138142555124   <v,Rv> = +1.000000
    eta_2 = 1.775581473393   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_3 = 1.769441912060   nu-weight |<xi/2,v>|^2 = 0.011394808065   <v,Rv> = +1.000000
    eta_4 = 1.741080068515   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
N=8 M=2 dim=6561 nnz=26208 build=0.0s
  truncated moments: m2=4.0000000000 m4=24.0000000000 m6=154.5000000000   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 4.950078639211155e-15
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 0.0s:
    theta_1 = 2.580246875700   vacuum weight |<Omega,v>|^2 = 0.255787096087   <v,Rv> = +1.000000   mean particle number = 1.1742
    theta_2 = 1.878381547499   vacuum weight |<Omega,v>|^2 = 0.014650683713   <v,Rv> = +1.000000   mean particle number = 4.0175
    theta_3 = 1.855417399720   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 3.7145
    theta_4 = 1.815122357675   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 3.6201
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 0.0s:
    eta_1 = 2.056510401299   nu-weight |<xi/2,v>|^2 = 0.132173112896   <v,Rv> = +1.000000
    eta_2 = 1.855417399720   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_3 = 1.840381353688   nu-weight |<xi/2,v>|^2 = 0.013796851412   <v,Rv> = +1.000000
    eta_4 = 1.815122357675   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
N=10 M=2 dim=59049 nnz=236152 build=0.0s
  truncated moments: m2=4.0000000000 m4=24.0000000000 m6=154.5600000000   (exact 4, 24, 154.6667)
  ||B R x - R B x|| = 1.3450931341707155e-14
  top 4 eigenvalues of b_trunc (lower bounds for the min-max values of b), 0.1s:
    theta_1 = 2.582107406435   vacuum weight |<Omega,v>|^2 = 0.254351665753   <v,Rv> = +1.000000   mean particle number = 1.1831
    theta_2 = 1.912064464825   vacuum weight |<Omega,v>|^2 = 0.012199644233   <v,Rv> = +1.000000   mean particle number = 4.2206
    theta_3 = 1.890929993758   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 3.9579
    theta_4 = 1.858716786576   vacuum weight |<Omega,v>|^2 = 0.000000000000   <v,Rv> = -1.000000   mean particle number = 3.8997
  top 4 eigenvalues of (QbQ)_trunc on Omega^perp, 0.1s:
    eta_1 = 2.069833462968   nu-weight |<xi/2,v>|^2 = 0.123726180275   <v,Rv> = +1.000000
    eta_2 = 1.890929993758   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
    eta_3 = 1.880700513863   nu-weight |<xi/2,v>|^2 = 0.010928179992   <v,Rv> = +1.000000
    eta_4 = 1.858716786576   nu-weight |<xi/2,v>|^2 = 0.000000000000   <v,Rv> = -1.000000
  sqrt(6) = 2.449489742783   2*sqrt(5/3) = 2.581988897472
