********* Eigenvalues for the 3+1 transverse lattice ********* Couplings: 0:mu^2 1:g^2 N 2:beta 3:lambda_1 4:lambda_2 5:lambda_3 6:lambda_4 7:lambda_5 8:tau_1 9:tau_2 10:kappa_S 11:kappa_A 12:mu_F 13:mu_0^2 14:mu_1^2 15:mu_2^2 Use chi^2 fit with 40 criteria and tolerance 0.01. Overall scale from minimizing chi^2. Parity doublets (charge,multi,state) with error for difference over average. ( 1, 5,0) and ( 1, 6,0), error 0.25 (-1, 5,0) and (-1, 6,0), error 0.25 (-1, 7,0) and (-1, 4,0), error 0.25 Spectrum for P_perp a = (0,0), ( 0.25 0) using 4 states (multiplet, charge, c^2 error for each) = (15, 1, 0.25 2 2 2) (15, -1, 0.25 2 2 2) (16, -1, 0.25 2 2 2) (16, 1, 0.25 2 2 2) Spectrum for P_perp a = (0,0), ( 0.25 0.25) using 4 states (multiplet, charge, c^2 error for each) = (17, 1, 0.25 2 2 2) (17, -1, 0.25 2 2 2) (18, -1, 0.25 2 2 2) (18, 1, 0.25 2 2 2). Ordinary spectra multiplets, 4 states, (charge,multiplet) = ( 1, 3) (-1, 3) ( 1, 4) (-1, 4) ( 1, 5) (-1, 5) ( 1, 6) (-1, 6) (-1, 7) ( 1, 7) . All spectra extrapolated using (K,p) = (12/2,8) (12/2,6) (14/2,6) (18/2,6) . Winding potential using (n,K,p) = ( 2 0,16/2,6) ( 2 0,16/2,4) ( 2 0,26/2,4) ( 3 0,17/2,7) ( 3 0,17/2,5) ( 3 0,25/2,5) ( 4 0,16/2,8) ( 4 0,16/2,6) ( 4 0,26/2,6) . Roundness of winding using (n,K,p) = ( 2 2,14/2,8) ( 2 2,14/2,6) ( 2 2,22/2,6) with error 1; in G^2 N units. Heavy potential determined using (n,K,p,K_max) = ( 0 0,26/2,2,3.5) ( 0 0,26/2,4,3.5) ( 0 0,26/2,2,3) ( 0 0,42/2,2,3.5) ( 0 0,42/2,2,4.25) ( 0 0,70/2,2,4) ( 0 0,70/2,2,4.5) , L = 3.577-2.726*m 5.058-3.856*m 7.154-5.452*m (all in G^2 N units); relative scale error=0.1. Roundness determined using (n,K,p,K_max) = ( 1 0,13/2,3,3.5) ( 1 0,13/2,5,3.5) ( 1 0,13/2,3,3) ( 1 0,23/2,3,4) ( 1 0,23/2,3,4.5) ( 1 0,35/2,3,5) ( 1 0,35/2,3,6) L=1.265-0.964*m and error 0.1; ( 1 0,13/2,3,3.5) ( 1 0,13/2,5,3.5) ( 1 0,13/2,3,3) ( 1 0,23/2,3,4) ( 1 0,23/2,3,4.5) ( 1 0,35/2,3,5) ( 1 0,35/2,3,6) L=5.058-3.856*m and error 0.1; ( 1 1,22/2,2,5) ( 1 1,22/2,4,5) ( 1 1,22/2,2,4.5) ( 1 1,44/2,2,5) ( 1 1,44/2,2,6) ( 1 1,70/2,2,6) ( 1 1,70/2,2,7) L=0+0*m and error 0.2; all in G^2 N units. p-extrapolation using n=( 1 0) and (K,p) = (13/2,3) (21/2,3) (45/2,3) (13/2,5) (27/2,5) (13/2,7) (15/2,7) . Result format: Fit info, # steps, chi^2, and p damping, scale G^2 N/sigma. The 16 couplings (G^2 N units); which couplings -- if any -- were fit. Winding potential and heavy souce potential fits. Roundness of winding potential, 1 values, and roundness of heavy source potential, 3 values, (G^2 N units) showing measured value and derived value for each. The rescaled spectrum for each P_perp*a and c^2 values. Finally come the states for the ordinary spectra. 2 10 48.76154418 -3.48894982 9.68408617 0 1 -0.1730069918 -0.06739594464 -0.05833567132 3.897655234 -0.01136425081 1.055571647 -0.1469570838 0.1837884385 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.183375 -0.505542 0.180974 0.117338 0.429430 -0.682582 1.934036 0.984081 0.676777 0.780726 1.105663 1.092545 1.224451 1.001193 11.794018 11.823507 0.837878 14.524410 14.568400 1.249906 20.016325 20.017442 0.031748 24.405321 24.356545 -1.385866 27.077004 27.102220 0.716462 49.277390 49.301844 0.694814 53.631240 53.652300 0.598377 56.992898 56.991232 -0.047345 27.077004 27.091437 0.410084 28.504800 28.509638 0.137451 49.277390 49.282098 0.133763 53.631240 53.633647 0.068384 24.405321 24.416788 0.325808 27.407302 27.398601 -0.247217 49.137176 49.153358 0.459781 52.502612 52.503628 0.028857 11.794018 11.852989 0.837768 20.016325 20.018458 0.030307 24.405321 24.349689 -0.790342 24.997628 25.013686 0.228129 27.077004 27.127516 0.717597 49.277390 49.306416 0.412354 53.631240 53.650440 0.272757 64.754761 65.176428 5.990445 27.077004 27.105783 0.408844 28.504800 28.514492 0.137688 49.277390 49.306543 0.414164 53.631240 53.659185 0.397002 14.524410 14.611571 1.238267 24.405321 24.385825 -0.276964 25.003026 25.004173 0.016294 25.099381 25.298752 2.832380 11.794018 20.016325 24.997628 32.227246 68.350410 73.891998 81.199038 99.044142 55.930016 69.512123 74.707840 78.956675 28.504800 56.433930 68.895910 76.802837 14.524410 25.003026 25.099381 47.596976 56.992898 69.722335 82.433739 93.757513 27.407302 68.375132 73.583630 79.456092 68.614094 65.982402 78.917609 80.455219 27.077004 49.277390 53.631240 64.754761 24.405321 49.137176 52.502612 59.269759 1 74 17.80363489 -7.410593681 12.79016888 0.001967542671 1 -0.2859175775 -0.02304343231 -0.04617080277 105.8441254 0.04714841419 41.51103398 -0.7033299165 -0.5553591676 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.214633 -0.364467 -0.456441 0.079903 0.347232 -0.414775 2.387477 1.295546 0.623709 0.762112 0.962346 0.906949 1.329526 0.967321 29.700681 29.726512 1.134562 38.020480 38.045788 1.111612 38.231308 38.243525 0.536602 44.572012 44.595306 1.023124 37.996971 38.015855 0.829454 76.137521 76.180107 1.870526 85.608182 85.624678 0.724555 90.701412 90.689331 -0.530638 37.996971 38.020845 1.048614 47.498335 47.509429 0.487274 76.137521 76.136397 -0.049357 85.608182 85.622351 0.622322 44.572012 44.587654 0.687015 48.207024 48.194481 -0.550927 80.918336 80.939345 0.922806 83.532371 83.538718 0.278793 29.700681 29.752357 1.134876 38.231308 38.267465 0.794054 44.572012 44.546229 -0.566246 44.609202 44.589973 -0.422303 37.996971 38.032756 0.785912 76.137521 76.169311 0.698173 85.608182 85.639227 0.681786 98.606706 98.559547 -1.035676 37.996971 38.046708 1.092318 47.498335 47.520544 0.487743 76.137521 76.188358 1.116478 85.608182 85.635227 0.593953 38.020480 38.059098 0.848102 44.572012 44.555026 -0.373046 44.607400 44.605276 -0.046645 55.558123 55.657197 2.175828 29.700681 38.231308 44.609202 52.139402 103.700120 111.039433 141.959693 135.625524 88.946479 118.442991 136.967432 145.067202 47.498335 88.820927 124.853250 122.467929 38.020480 44.607400 55.558123 78.562699 90.701412 106.240235 143.448132 135.082240 48.207024 124.973430 120.831893 135.993987 98.606706 117.477092 130.391972 134.377445 37.996971 76.137521 85.608182 101.446960 44.572012 80.918336 83.532371 94.141345