== A equal bodies: L=32 g1=0.056305 g2=0.056305 tau1=0.001056 tau2=0.001056 eta=0.150 w=1.83 held spectra of the class: d=2.7731e-03 (flips and excitations 2.7731e-03, joint flip 6.4749e-03; leading 2n|g1+g2|-1.5|B(0)|=6.2463e-03); max tau/d=0.381 selected lowest level, <|r|>=1.34, overlap=0.984031 (min over P 0.983940), group weight=0.984065 E''(0): exact=3.147829e-04 band(2.10)=3.291362e-04 (6.6) sum b0/m=3.291357e-04 rel. band-exact=4.56e-02 mu1=1.639644e+03 mu2=1.639644e+03 (band: 1.639640e+03, 1.639640e+03) beta0=0.87303 Dlat=4.7693e+02 Dmark(odd parts)=-6.9527e+02 Dmark(lead)=-7.7827e+02 |Dlat/Dmark|=0.686 delta_m(S5)=0.440 D0: exact=-1.024964e+02 band=-2.410248e+02 (7.5)=-2.183369e+02 resummed=-2.265128e+02 leading=-3.013431e+02 deviation from exact D0 / (|Dlat|+|Dmark|): band -1.18e-01, (7.5) -9.88e-02, resummed -1.06e-01, leading -1.70e-01 local inertia (7.3), max rel. error near r=0: odd parts 2.15e-02, 2.15e-02; second order 9.31e-02, 9.31e-02 cost: dE0 exact=-2.510425e-04 +K0=-2.591129e-04 (=-2.9783e-04, M2(0)=-5.2786e-04, K0=3.8719e-05); (+)/=2.3765 D0_exact/dE0=4.082829e+05 vs 1/tau1^2+1/tau2^2=1.794460e+06 (ratio 0.2275), 1/tau1^2=8.972299e+05 == A equal bodies: L=64 g1=0.028132 g2=0.028132 tau1=0.0002637 tau2=0.0002637 eta=0.150 w=2.31 held spectra of the class: d=6.8091e-04 (flips and excitations 6.8091e-04, joint flip 1.6178e-03; leading 2n|g1+g2|-1.5|B(0)|=1.5604e-03); max tau/d=0.387 selected lowest level, <|r|>=1.85, overlap=0.989809 (min over P 0.989709), group weight=0.989820 E''(0): exact=8.707640e-05 band(2.10)=8.958103e-05 (6.6) sum b0/m=8.958104e-05 rel. band-exact=2.88e-02 mu1=6.564038e+03 mu2=6.564038e+03 (band: 6.564034e+03, 6.564034e+03) beta0=0.92320 Dlat=1.0921e+03 Dmark(odd parts)=-2.9762e+03 Dmark(lead)=-3.3527e+03 |Dlat/Dmark|=0.367 delta_m(S5)=0.266 D0: exact=-1.643909e+03 band=-1.964989e+03 (7.5)=-1.884097e+03 resummed=-1.900351e+03 leading=-2.260628e+03 deviation from exact D0 / (|Dlat|+|Dmark|): band -7.89e-02, (7.5) -5.90e-02, resummed -6.30e-02, leading -1.52e-01 local inertia (7.3), max rel. error near r=0: odd parts 2.20e-02, 2.20e-02; second order 9.87e-02, 9.87e-02 cost: dE0 exact=-7.278875e-05 +K0=-7.423568e-05 (=-8.0086e-05, M2(0)=-1.3187e-04, K0=5.8499e-06); (+)/=2.3900 D0_exact/dE0=2.258465e+07 vs 1/tau1^2+1/tau2^2=2.875347e+07 (ratio 0.7855), 1/tau1^2=1.437674e+07 source at distance s=8 from the midpoint (u=0.1250, kappa_s=0.5631; eta/kappa_s=0.266, w/(L kappa_s)=0.064): exact selected level: W0'/phi'=6.396094e-04 Wb'/phi'=-1.049401e-04 (7.10): -1.326958e-04 held-field average: W0'/phi'=6.469698e-04 Wb'/phi'=-9.757629e-05; kinetic part (exact - held avg)/phi'=-7.3638e-06 vs -K0=-5.8499e-06 Gamma/phi': body1=5.671429e-08 (tau1^2=6.955682e-08) body2=5.671429e-08 (tau2^2=6.955682e-08) pair=5.569489e-08 Gamma_b=Wb'/D0: /phi'=6.383572e-08 (7.12) lead=3.916924e-08 (ratio 1.6297) (7.10)/(7.5)=5.869865e-08 (ratio 1.0875) refined=5.489432e-08 (ratio 1.1629) Gamma_b/Gamma_1=1.1256 Gamma_b/Gamma_2=1.1256 lead 2kappa_s/(1+tau1^2/tau2^2)=0.5631 exact eigenvalues with the source (+-g_s): W0'/phi'=6.396094e-04, rel. diff. to the density form 5.93e-09; Wb'/phi' from them -1.049401e-04 source at distance s=16 from the midpoint (u=0.2500, kappa_s=0.2505; eta/kappa_s=0.599, w/(L kappa_s)=0.144): exact selected level: W0'/phi'=7.492984e-04 Wb'/phi'=-6.124736e-05 (7.10): -5.025811e-05 held-field average: W0'/phi'=7.576416e-04 Wb'/phi'=-5.289702e-05; kinetic part (exact - held avg)/phi'=-8.3503e-06 vs -K0=-5.8499e-06 Gamma/phi': body1=6.174139e-08 (tau1^2=6.955682e-08) body2=6.174139e-08 (tau2^2=6.955682e-08) pair=6.524620e-08 Gamma_b=Wb'/D0: /phi'=3.725716e-08 (7.12) lead=1.742742e-08 (ratio 2.1378) (7.10)/(7.5)=2.223192e-08 (ratio 1.6758) refined=3.118042e-08 (ratio 1.1949) Gamma_b/Gamma_1=0.6034 Gamma_b/Gamma_2=0.6034 lead 2kappa_s/(1+tau1^2/tau2^2)=0.2505 == A' equal bodies, smaller eta: L=64 g1=0.0093773 g2=0.0093773 tau1=8.791e-05 tau2=8.791e-05 eta=0.050 w=3.37 held spectra of the class: d=2.6730e-04 (flips and excitations 2.6730e-04, joint flip 5.6646e-04; leading 2n|g1+g2|-1.5|B(0)|=5.6410e-04); max tau/d=0.329 selected lowest level, <|r|>=2.42, overlap=0.995019 (min over P 0.994939), group weight=0.995019 E''(0): exact=2.660595e-05 band(2.10)=2.699290e-05 (6.6) sum b0/m=2.699290e-05 rel. band-exact=1.45e-02 mu1=1.903544e+04 mu2=1.903544e+04 (band: 1.903544e+04, 1.903544e+04) beta0=0.95175 Dlat=1.9301e+03 Dmark(odd parts)=-2.9375e+03 Dmark(lead)=-3.0812e+03 |Dlat/Dmark|=0.657 delta_m(S5)=0.484 D0: exact=-4.853071e+02 band=-1.024096e+03 (7.5)=-1.007359e+03 resummed=-1.016930e+03 leading=-1.151092e+03 deviation from exact D0 / (|Dlat|+|Dmark|): band -1.11e-01, (7.5) -1.07e-01, resummed -1.09e-01, leading -1.37e-01 local inertia (7.3), max rel. error near r=0: odd parts 2.63e-03, 2.63e-03; second order 4.81e-02, 4.81e-02 cost: dE0 exact=-9.041333e-06 +K0=-9.135153e-06 (=-1.0403e-05, M2(0)=-1.4652e-05, K0=1.2674e-06); (+)/=2.1118 D0_exact/dE0=5.367650e+07 vs 1/tau1^2+1/tau2^2=2.587813e+08 (ratio 0.2074), 1/tau1^2=1.293906e+08 source at distance s=8 from the midpoint (u=0.1250, kappa_s=0.5631; eta/kappa_s=0.089, w/(L kappa_s)=0.093): exact selected level: W0'/phi'=2.630864e-04 Wb'/phi'=-1.397144e-05 (7.10): -1.466959e-05 held-field average: W0'/phi'=2.644494e-04 Wb'/phi'=-1.260842e-05; kinetic part (exact - held avg)/phi'=-1.3630e-06 vs -K0=-1.2674e-06 Gamma/phi': body1=7.277422e-09 (tau1^2=7.728535e-09) body2=7.277422e-09 (tau2^2=7.728535e-09) pair=6.999665e-09 Gamma_b=Wb'/D0: /phi'=2.878888e-08 (7.12) lead=4.352137e-09 (ratio 6.6149) (7.10)/(7.5)=1.274406e-08 (ratio 2.2590) refined=1.377446e-08 (ratio 2.0900) Gamma_b/Gamma_1=3.9559 Gamma_b/Gamma_2=3.9559 lead 2kappa_s/(1+tau1^2/tau2^2)=0.5631 source at distance s=16 from the midpoint (u=0.2500, kappa_s=0.2505; eta/kappa_s=0.200, w/(L kappa_s)=0.210): exact selected level: W0'/phi'=2.791184e-04 Wb'/phi'=-6.442146e-06 (7.10): -5.509840e-06 held-field average: W0'/phi'=2.805571e-04 Wb'/phi'=-5.003244e-06; kinetic part (exact - held avg)/phi'=-1.4389e-06 vs -K0=-1.2674e-06 Gamma/phi': body1=7.500760e-09 (tau1^2=7.728535e-09) body2=7.500760e-09 (tau2^2=7.728535e-09) pair=7.426210e-09 Gamma_b=Wb'/D0: /phi'=1.327437e-08 (7.12) lead=1.936380e-09 (ratio 6.8553) (7.10)/(7.5)=4.786620e-09 (ratio 2.7732) refined=6.224842e-09 (ratio 2.1325) Gamma_b/Gamma_1=1.7697 Gamma_b/Gamma_2=1.7697 lead 2kappa_s/(1+tau1^2/tau2^2)=0.2505 == A'' equal bodies, smaller eta and tau/d: L=64 g1=0.0093773 g2=0.0093773 tau1=4.396e-05 tau2=4.396e-05 eta=0.050 w=2.12 held spectra of the class: d=2.6730e-04 (flips and excitations 2.6730e-04, joint flip 5.6646e-04; leading 2n|g1+g2|-1.5|B(0)|=5.6410e-04); max tau/d=0.164 selected lowest level, <|r|>=1.28, overlap=0.996424 (min over P 0.996404), group weight=0.996424 E''(0): exact=6.119499e-06 band(2.10)=6.180253e-06 (6.6) sum b0/m=6.180249e-06 rel. band-exact=9.93e-03 mu1=7.614176e+04 mu2=7.614176e+04 (band: 7.614176e+04, 7.614176e+04) beta0=0.86471 Dlat=2.3826e+04 Dmark(odd parts)=-1.4252e+04 Dmark(lead)=-1.4986e+04 |Dlat/Dmark|=1.672 delta_m(S5)=1.358 D0: exact=1.112856e+04 band=9.522158e+03 (7.5)=9.573626e+03 resummed=9.558786e+03 leading=8.839926e+03 deviation from exact D0 / (|Dlat|+|Dmark|): band -4.22e-02, (7.5) -4.08e-02, resummed -4.12e-02, leading -6.01e-02 local inertia (7.3), max rel. error near r=0: odd parts 2.63e-03, 2.63e-03; second order 4.81e-02, 4.81e-02 cost: dE0 exact=-1.063404e-05 +K0=-1.071125e-05 (=-1.1600e-05, M2(0)=-1.4652e-05, K0=8.8841e-07); (+)/=2.1189 D0_exact/dE0=-1.046504e+09 vs 1/tau1^2+1/tau2^2=1.035125e+09 (ratio -1.0110), 1/tau1^2=5.175625e+08 == B unequal bodies and speeds: L=32 g1=0.056305 g2=0.028152 tau1=0.0005279 tau2=0.0002639 eta=0.150 w=1.33 held spectra of the class: d=1.3636e-03 (flips and excitations 1.3636e-03, joint flip 4.9956e-03; leading 2n|g1+g2|-1.5|B(0)|=4.8827e-03); max tau/d=0.387 selected lowest level, <|r|>=0.57, overlap=0.989682 (min over P 0.989658), group weight=0.989686 E''(0): exact=4.097370e-05 band(2.10)=4.211294e-05 (6.6) sum b0/m=4.211294e-05 rel. band-exact=2.78e-02 mu1=6.558566e+03 mu2=1.274622e+04 (band: 6.558562e+03, 1.274622e+04) beta0=0.67184 Dlat=9.4292e+03 Dmark(odd parts)=-4.9274e+03 Dmark(lead)=-5.5740e+03 |Dlat/Dmark|=1.914 delta_m(S5)=1.338 D0: exact=5.101118e+03 band=4.440890e+03 (7.5)=4.501822e+03 resummed=4.488702e+03 leading=3.855201e+03 deviation from exact D0 / (|Dlat|+|Dmark|): band -4.60e-02, (7.5) -4.17e-02, resummed -4.27e-02, leading -8.68e-02 local inertia (7.3), max rel. error near r=0: odd parts 2.30e-02, 6.15e-03; second order 2.01e-02, 1.31e-01 cost: dE0 exact=-1.627373e-04 +K0=-1.660816e-04 (=-1.8503e-04, M2(0)=-2.6393e-04, K0=1.8945e-05); (+)/=2.2971 D0_exact/dE0=-3.134572e+07 vs 1/tau1^2+1/tau2^2=1.794460e+07 (ratio -1.7468), 1/tau1^2=3.588920e+06 == B unequal bodies and speeds: L=64 g1=0.028132 g2=0.014066 tau1=0.0001319 tau2=6.593e-05 eta=0.150 w=1.67 held spectra of the class: d=3.3549e-04 (flips and excitations 3.3549e-04, joint flip 1.2481e-03; leading 2n|g1+g2|-1.5|B(0)|=1.2198e-03); max tau/d=0.393 selected lowest level, <|r|>=1.00, overlap=0.993976 (min over P 0.993949), group weight=0.993978 E''(0): exact=1.276961e-05 band(2.10)=1.298382e-05 (6.6) sum b0/m=1.298382e-05 rel. band-exact=1.68e-02 mu1=2.625614e+04 mu2=5.102339e+04 (band: 2.625613e+04, 5.102339e+04) beta0=0.81280 Dlat=1.7798e+04 Dmark(odd parts)=-1.7860e+04 Dmark(lead)=-2.0330e+04 |Dlat/Dmark|=0.997 delta_m(S5)=0.763 D0: exact=1.031368e+03 band=-2.605738e+02 (7.5)=-6.138594e+01 resummed=-8.967688e+01 leading=-2.532073e+03 deviation from exact D0 / (|Dlat|+|Dmark|): band -3.62e-02, (7.5) -3.06e-02, resummed -3.14e-02, leading -9.99e-02 local inertia (7.3), max rel. error near r=0: odd parts 2.50e-02, 5.36e-03; second order 2.02e-02, 1.39e-01 cost: dE0 exact=-4.346807e-05 +K0=-4.397624e-05 (=-4.6676e-05, M2(0)=-6.5934e-05, K0=2.6996e-06); (+)/=2.2972 D0_exact/dE0=-2.372703e+07 vs 1/tau1^2+1/tau2^2=2.875347e+08 (ratio -0.0825), 1/tau1^2=5.750694e+07 source at distance s=8 from the midpoint (u=0.1250, kappa_s=0.5631; eta/kappa_s=0.266, w/(L kappa_s)=0.046): exact selected level: W0'/phi'=5.157547e-04 Wb'/phi'=-5.861085e-05 (7.10): -7.099485e-05 held-field average: W0'/phi'=5.189716e-04 Wb'/phi'=-5.539348e-05; kinetic part (exact - held avg)/phi'=-3.2174e-06 vs -K0=-2.6996e-06 Gamma/phi': body1=1.417853e-08 (tau1^2=1.738920e-08) body2=3.960774e-09 (tau2^2=4.347301e-09) pair=6.585988e-09 Gamma_b=Wb'/D0: /phi'=-5.682826e-08 (7.12) lead=3.916924e-09 (ratio -14.5084) (7.10)/(7.5)=2.803824e-08 (ratio -2.0268) refined=9.463588e-07 (ratio -0.0600) Gamma_b/Gamma_1=-4.0081 Gamma_b/Gamma_2=-14.3478 lead 2kappa_s/(1+tau1^2/tau2^2)=0.2253 source at distance s=16 from the midpoint (u=0.2500, kappa_s=0.2505; eta/kappa_s=0.599, w/(L kappa_s)=0.104): exact selected level: W0'/phi'=5.830558e-04 Wb'/phi'=-3.352277e-05 (7.10): -2.977600e-05 held-field average: W0'/phi'=5.865617e-04 Wb'/phi'=-3.001577e-05; kinetic part (exact - held avg)/phi'=-3.5070e-06 vs -K0=-2.6996e-06 Gamma/phi': body1=1.543525e-08 (tau1^2=1.738920e-08) body2=4.141402e-09 (tau2^2=4.347301e-09) pair=7.445398e-09 Gamma_b=Wb'/D0: /phi'=-3.250321e-08 (7.12) lead=1.742742e-09 (ratio -18.6506) (7.10)/(7.5)=1.175954e-08 (ratio -2.7640) refined=5.329462e-07 (ratio -0.0610) Gamma_b/Gamma_1=-2.1058 Gamma_b/Gamma_2=-7.8484 lead 2kappa_s/(1+tau1^2/tau2^2)=0.1002 == R equal bodies, v1 case: L=128 g1=0.014063 g2=0.014063 tau1=6.592e-05 tau2=6.592e-05 eta=0.150 w=2.91 held spectra of the class: d=1.6868e-04 (flips and excitations 1.6868e-04, joint flip 4.0439e-04; leading 2n|g1+g2|-1.5|B(0)|=3.9004e-04); max tau/d=0.391 selected lowest level, <|r|>=2.45, overlap=0.993446 (min over P 0.993339), group weight=0.993450 E''(0): exact=2.315069e-05 band(2.10)=2.357385e-05 (6.6) sum b0/m=2.357385e-05 rel. band-exact=1.83e-02 mu1=2.626162e+04 mu2=2.626162e+04 (band: 2.626161e+04, 2.626161e+04) beta0=0.95282 Dlat=2.6009e+03 Dmark(odd parts)=-1.2403e+04 Dmark(lead)=-1.4037e+04 |Dlat/Dmark|=0.210 delta_m(S5)=0.163 D0: exact=-9.327978e+03 band=-1.010333e+04 (7.5)=-9.801789e+03 resummed=-9.831106e+03 leading=-1.143575e+04 deviation from exact D0 / (|Dlat|+|Dmark|): band -5.17e-02, (7.5) -3.16e-02, resummed -3.35e-02, leading -1.40e-01 local inertia (7.3), max rel. error near r=0: odd parts 2.20e-02, 2.20e-02; second order 1.02e-01, 1.02e-01 cost: dE0 exact=-1.995791e-05 +K0=-2.020866e-05 (=-2.1107e-05, M2(0)=-3.2961e-05, K0=8.9831e-07); (+)/=2.4030 D0_exact/dE0=4.673824e+08 vs 1/tau1^2+1/tau2^2=4.602241e+08 (ratio 1.0156), 1/tau1^2=2.301120e+08 source at distance s=8 from the midpoint (u=0.0625, kappa_s=0.7658; eta/kappa_s=0.196, w/(L kappa_s)=0.030): exact selected level: W0'/phi'=1.433803e-04 Wb'/phi'=-3.246042e-05 (7.10): -4.772353e-05 held-field average: W0'/phi'=1.444181e-04 Wb'/phi'=-3.142246e-05; kinetic part (exact - held avg)/phi'=-1.0380e-06 vs -K0=-8.9831e-07 Gamma/phi': body1=3.347865e-09 (tau1^2=4.345709e-09) body2=3.347865e-09 (tau2^2=4.345709e-09) pair=3.319352e-09 Gamma_b=Wb'/D0: /phi'=3.479899e-09 (7.12) lead=3.327917e-09 (ratio 1.0457) (7.10)/(7.5)=4.173188e-09 (ratio 0.8339) refined=3.297436e-09 (ratio 1.0553) Gamma_b/Gamma_1=1.0394 Gamma_b/Gamma_2=1.0394 lead 2kappa_s/(1+tau1^2/tau2^2)=0.7658 source at distance s=16 from the midpoint (u=0.1250, kappa_s=0.5627; eta/kappa_s=0.267, w/(L kappa_s)=0.040): exact selected level: W0'/phi'=1.597441e-04 Wb'/phi'=-2.638446e-05 (7.10): -3.433231e-05 held-field average: W0'/phi'=1.608867e-04 Wb'/phi'=-2.524156e-05; kinetic part (exact - held avg)/phi'=-1.1429e-06 vs -K0=-8.9831e-07 Gamma/phi': body1=3.543738e-09 (tau1^2=4.345709e-09) body2=3.543738e-09 (tau2^2=4.345709e-09) pair=3.698186e-09 Gamma_b=Wb'/D0: /phi'=2.828529e-09 (7.12) lead=2.445141e-09 (ratio 1.1568) (7.10)/(7.5)=3.002192e-09 (ratio 0.9422) refined=2.666847e-09 (ratio 1.0606) Gamma_b/Gamma_1=0.7982 Gamma_b/Gamma_2=0.7982 lead 2kappa_s/(1+tau1^2/tau2^2)=0.5627 source at distance s=32 from the midpoint (u=0.2500, kappa_s=0.2501; eta/kappa_s=0.600, w/(L kappa_s)=0.091): exact selected level: W0'/phi'=1.868889e-04 Wb'/phi'=-1.573377e-05 (7.10): -1.373043e-05 held-field average: W0'/phi'=1.881882e-04 Wb'/phi'=-1.443405e-05; kinetic part (exact - held avg)/phi'=-1.2997e-06 vs -K0=-8.9831e-07 Gamma/phi': body1=3.857771e-09 (tau1^2=4.345709e-09) body2=3.857771e-09 (tau2^2=4.345709e-09) pair=4.326606e-09 Gamma_b=Wb'/D0: /phi'=1.686729e-09 (7.12) lead=1.087024e-09 (ratio 1.5517) (7.10)/(7.5)=1.200659e-09 (ratio 1.4048) refined=1.564241e-09 (ratio 1.0783) Gamma_b/Gamma_1=0.4372 Gamma_b/Gamma_2=0.4372 lead 2kappa_s/(1+tau1^2/tau2^2)=0.2501 == S1 equal bodies, regime (ii): L=256 g1=0.0046876 g2=0.0046876 tau1=1.465e-05 tau2=1.465e-05 eta=0.100 w=5.12 held spectra of the class: d=3.0428e-05 (flips and excitations 3.0428e-05, joint flip 6.8870e-05; leading 2n|g1+g2|-1.5|B(0)|=6.7750e-05); max tau/d=0.481 selected lowest level, <|r|>=4.13, overlap=0.996119 (min over P 0.995947), group weight=0.996120 E''(0): exact=6.694777e-06 band(2.10)=6.769117e-06 (6.6) sum b0/m=6.769122e-06 rel. band-exact=1.11e-02 mu1=8.675530e+04 mu2=8.675530e+04 (band: 8.675528e+04, 8.675528e+04) beta0=0.98232 Dlat=3.1235e+03 Dmark(odd parts)=-2.8583e+04 Dmark(lead)=-3.1396e+04 |Dlat/Dmark|=0.109 delta_m(S5)=0.090 D0: exact=-2.414042e+04 band=-2.578081e+04 (7.5)=-2.545921e+04 resummed=-2.549118e+04 leading=-2.827274e+04 deviation from exact D0 / (|Dlat|+|Dmark|): band -5.17e-02, (7.5) -4.16e-02, resummed -4.26e-02, leading -1.30e-01 local inertia (7.3), max rel. error near r=0: odd parts 1.03e-02, 1.03e-02; second order 8.43e-02, 8.43e-02 cost: dE0 exact=-2.533427e-06 +K0=-2.552421e-06 (=-2.6543e-06, M2(0)=-3.6622e-06, K0=1.0192e-07); (+)/=2.2556 D0_exact/dE0=9.528760e+09 vs 1/tau1^2+1/tau2^2=9.320391e+09 (ratio 1.0224), 1/tau1^2=4.660196e+09 source at distance s=16 from the midpoint (u=0.0625, kappa_s=0.7657; eta/kappa_s=0.131, w/(L kappa_s)=0.026): exact selected level: W0'/phi'=2.737495e-05 Wb'/phi'=-4.139222e-06 (7.10): -5.364688e-06 held-field average: W0'/phi'=2.748649e-05 Wb'/phi'=-4.027682e-06; kinetic part (exact - held avg)/phi'=-1.1154e-07 vs -K0=-1.0192e-07 Gamma/phi': body1=1.816268e-10 (tau1^2=2.145833e-10) body2=1.816268e-10 (tau2^2=2.145833e-10) pair=1.832692e-10 Gamma_b=Wb'/D0: /phi'=1.714644e-10 (7.12) lead=1.642994e-10 (ratio 1.0436) (7.10)/(7.5)=1.897478e-10 (ratio 0.9036) refined=1.622045e-10 (ratio 1.0571) Gamma_b/Gamma_1=0.9440 Gamma_b/Gamma_2=0.9440 lead 2kappa_s/(1+tau1^2/tau2^2)=0.7657 source at distance s=32 from the midpoint (u=0.1250, kappa_s=0.5625; eta/kappa_s=0.178, w/(L kappa_s)=0.036): exact selected level: W0'/phi'=2.950067e-05 Wb'/phi'=-3.259660e-06 (7.10): -3.876911e-06 held-field average: W0'/phi'=2.962028e-05 Wb'/phi'=-3.140019e-06; kinetic part (exact - held avg)/phi'=-1.1964e-07 vs -K0=-1.0192e-07 Gamma/phi': body1=1.888088e-10 (tau1^2=2.145833e-10) body2=1.888088e-10 (tau2^2=2.145833e-10) pair=1.975004e-10 Gamma_b=Wb'/D0: /phi'=1.350291e-10 (7.12) lead=1.207115e-10 (ratio 1.1186) (7.10)/(7.5)=1.371254e-10 (ratio 0.9847) refined=1.273384e-10 (ratio 1.0604) Gamma_b/Gamma_1=0.7152 Gamma_b/Gamma_2=0.7152 lead 2kappa_s/(1+tau1^2/tau2^2)=0.5625 exact eigenvalues with the source (+-g_s): W0'/phi'=2.950067e-05, rel. diff. to the density form -4.67e-08; Wb'/phi' from them -3.259661e-06 source at distance s=64 from the midpoint (u=0.2500, kappa_s=0.2500; eta/kappa_s=0.400, w/(L kappa_s)=0.080): exact selected level: W0'/phi'=3.295124e-05 Wb'/phi'=-1.781834e-06 (7.10): -1.588023e-06 held-field average: W0'/phi'=3.308310e-05 Wb'/phi'=-1.649848e-06; kinetic part (exact - held avg)/phi'=-1.3199e-07 vs -K0=-1.0192e-07 Gamma/phi': body1=2.001784e-10 (tau1^2=2.145833e-10) body2=2.001784e-10 (tau2^2=2.145833e-10) pair=2.206012e-10 Gamma_b=Wb'/D0: /phi'=7.381122e-11 (7.12) lead=5.365318e-11 (ratio 1.3757) (7.10)/(7.5)=5.616799e-11 (ratio 1.3141) refined=6.880666e-11 (ratio 1.0727) Gamma_b/Gamma_1=0.3687 Gamma_b/Gamma_2=0.3687 lead 2kappa_s/(1+tau1^2/tau2^2)=0.2500 == S2 equal bodies, regime (ii), smaller eta: L=256 g1=0.0023438 g2=0.0023438 tau1=7.324e-06 tau2=7.324e-06 eta=0.050 w=6.48 held spectra of the class: d=1.6639e-05 (flips and excitations 1.6639e-05, joint flip 3.5396e-05; leading 2n|g1+g2|-1.5|B(0)|=3.5248e-05); max tau/d=0.440 selected lowest level, <|r|>=4.83, overlap=0.997536 (min over P 0.997388), group weight=0.997536 E''(0): exact=3.122416e-06 band(2.10)=3.144965e-06 (6.6) sum b0/m=3.144960e-06 rel. band-exact=7.22e-03 mu1=1.713587e+05 mu2=1.713587e+05 (band: 1.713587e+05, 1.713587e+05) beta0=0.98691 Dlat=4.5440e+03 Dmark(odd parts)=-2.9193e+04 Dmark(lead)=-3.0730e+04 |Dlat/Dmark|=0.156 delta_m(S5)=0.131 D0: exact=-2.245256e+04 band=-2.474878e+04 (7.5)=-2.464917e+04 resummed=-2.467203e+04 leading=-2.618559e+04 deviation from exact D0 / (|Dlat|+|Dmark|): band -6.81e-02, (7.5) -6.51e-02, resummed -6.58e-02, leading -1.11e-01 local inertia (7.3), max rel. error near r=0: odd parts 2.70e-03, 2.70e-03; second order 5.02e-02, 5.02e-02 cost: dE0 exact=-6.878422e-07 +K0=-6.912139e-07 (=-7.2940e-07, M2(0)=-9.1554e-07, K0=3.8181e-08); (+)/=2.1189 D0_exact/dE0=3.264201e+10 vs 1/tau1^2+1/tau2^2=3.728156e+10 (ratio 0.8756), 1/tau1^2=1.864078e+10 source at distance s=16 from the midpoint (u=0.0625, kappa_s=0.7657; eta/kappa_s=0.065, w/(L kappa_s)=0.033): exact selected level: W0'/phi'=1.578923e-05 Wb'/phi'=-1.183756e-06 (7.10): -1.339821e-06 held-field average: W0'/phi'=1.582897e-05 Wb'/phi'=-1.144013e-06; kinetic part (exact - held avg)/phi'=-3.9743e-08 vs -K0=-3.8181e-08 Gamma/phi': body1=4.952472e-11 (tau1^2=5.364582e-11) body2=4.952472e-11 (tau2^2=5.364582e-11) pair=4.930054e-11 Gamma_b=Wb'/D0: /phi'=5.272256e-11 (7.12) lead=4.107484e-11 (ratio 1.2836) (7.10)/(7.5)=5.116636e-11 (ratio 1.0304) refined=4.796082e-11 (ratio 1.0993) Gamma_b/Gamma_1=1.0646 Gamma_b/Gamma_2=1.0646 lead 2kappa_s/(1+tau1^2/tau2^2)=0.7657 source at distance s=32 from the midpoint (u=0.1250, kappa_s=0.5625; eta/kappa_s=0.089, w/(L kappa_s)=0.045): exact selected level: W0'/phi'=1.641720e-05 Wb'/phi'=-8.959661e-07 (7.10): -9.678770e-07 held-field average: W0'/phi'=1.645848e-05 Wb'/phi'=-8.547355e-07; kinetic part (exact - held avg)/phi'=-4.1231e-08 vs -K0=-3.8181e-08 Gamma/phi': body1=5.051732e-11 (tau1^2=5.364582e-11) body2=5.051732e-11 (tau2^2=5.364582e-11) pair=5.126132e-11 Gamma_b=Wb'/D0: /phi'=3.990486e-11 (7.12) lead=3.017787e-11 (ratio 1.3223) (7.10)/(7.5)=3.696220e-11 (ratio 1.0796) refined=3.622502e-11 (ratio 1.1016) Gamma_b/Gamma_1=0.7899 Gamma_b/Gamma_2=0.7899 lead 2kappa_s/(1+tau1^2/tau2^2)=0.5625 source at distance s=64 from the midpoint (u=0.2500, kappa_s=0.2500; eta/kappa_s=0.200, w/(L kappa_s)=0.101): exact selected level: W0'/phi'=1.741125e-05 Wb'/phi'=-4.331032e-07 (7.10): -3.956550e-07 held-field average: W0'/phi'=1.745487e-05 Wb'/phi'=-3.894352e-07; kinetic part (exact - held avg)/phi'=-4.3668e-08 vs -K0=-3.8181e-08 Gamma/phi': body1=5.206725e-11 (tau1^2=5.364582e-11) body2=5.206725e-11 (tau2^2=5.364582e-11) pair=5.436516e-11 Gamma_b=Wb'/D0: /phi'=1.928971e-11 (7.12) lead=1.341330e-11 (ratio 1.4381) (7.10)/(7.5)=1.510965e-11 (ratio 1.2766) refined=1.734811e-11 (ratio 1.1119) Gamma_b/Gamma_1=0.3705 Gamma_b/Gamma_2=0.3705 lead 2kappa_s/(1+tau1^2/tau2^2)=0.2500 == C mixed signs, bound at top: L=48 g1=0.018758 g2=-0.037516 tau1=0.0001172 tau2=0.0002345 eta=0.150 w=1.04 held spectra of the class: d=6.2169e-04 (flips and excitations 6.5773e-04, joint flip 6.2169e-04; leading 2n|g1+g2|-1.5|B(0)|=6.0573e-04); max tau/d=0.377 selected highest level, <|r|>=0.14, overlap=0.987247 (min over P 0.987241), group weight=0.987251 E''(0): exact=1.418394e-05 band(2.10)=1.463866e-05 (6.6) sum b0/m=1.463867e-05 rel. band-exact=3.21e-02 mu1=2.869504e+04 mu2=-1.471817e+04 (band: 2.869504e+04, -1.471817e+04) beta0=0.36195 Dlat=2.4639e+04 Dmark(odd parts)=2.9466e+04 Dmark(lead)=2.5768e+04 |Dlat/Dmark|=0.836 delta_m(S5)=0.836 D0: exact=5.652541e+04 band=5.433537e+04 (7.5)=5.410423e+04 resummed=5.408365e+04 leading=5.040706e+04 deviation from exact D0 / (|Dlat|+|Dmark|): band -4.05e-02, (7.5) -4.48e-02, resummed -4.51e-02, leading -1.13e-01 local inertia (7.3), max rel. error near r=0: odd parts 6.24e-03, 2.04e-02; second order 1.99e-01, 2.71e-02 cost: dE0 exact=1.185405e-04 +K0=1.214758e-04 (=1.2675e-04, M2(0)=1.1724e-04, K0=-5.2789e-06); (+)/=1.9451 D0_exact/dE0=4.768447e+08 vs 1/tau1^2+1/tau2^2=9.094323e+07 (ratio 5.2433), 1/tau1^2=7.275458e+07 == D control: both negative, not bound: L=48 g1=-0.037516 g2=-0.037516 tau1=0.000469 tau2=0.000469 eta=0.150 w=2.10 held spectra of the class: d=1.3363e-03 (flips and excitations 1.3363e-03, joint flip 2.8765e-03; leading 2n|g1+g2|-1.5|B(0)|=2.7746e-03); max tau/d=0.351 selected highest level, <|r|>=21.42, overlap=0.994877 (min over P 0.994788), group weight=0.994878 E''(0): exact=-1.511180e-04 band(2.10)=-1.533368e-04 (6.6) sum b0/m=-1.533368e-04 rel. band-exact=1.47e-02 mu1=-3.679545e+03 mu2=-3.679545e+03 (band: -3.679543e+03, -3.679543e+03) beta0=0.95602 Dlat=-3.3855e+02 Dmark(odd parts)=1.1696e+03 Dmark(lead)=1.0493e+03 |Dlat/Dmark|=0.289 delta_m(S5)=0.152 D0: exact=7.417469e+02 band=8.374918e+02 (7.5)=8.310697e+02 resummed=8.322954e+02 leading=7.106973e+02 deviation from exact D0 / (|Dlat|+|Dmark|): band 6.35e-02, (7.5) 5.92e-02, resummed 6.00e-02, leading -2.06e-02 local inertia (7.3), max rel. error near r=0: odd parts 2.45e-02, 2.45e-02; second order 2.47e-01, 2.47e-01 cost: dE0 exact=1.268030e-04 +K0=1.278234e-04 (=1.3380e-04, M2(0)=-2.3448e-04, K0=-5.9765e-06); (+)/=1.8116 D0_exact/dE0=5.849600e+06 vs 1/tau1^2+1/tau2^2=9.094323e+06 (ratio 0.6432), 1/tau1^2=4.547161e+06