********* 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 16:mu_3^2 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 17 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. 1 59 15.76785601 -1.795649573 8.029100735 0.03249196962 1 0.6249451045 -0.005960109378 -0.1070594362 746.5857779 0.09044234062 349.1467683 -0.1524330398 1.046329588 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.229267 -1.200163 1.127953 0.124536 0.476574 -0.763607 0.918482 0.774971 0.735653 0.783190 1.045930 1.069450 1.143838 1.013220 7.000585 7.038433 1.114737 21.907952 21.937135 0.859531 22.931194 22.954435 0.684528 28.213953 28.187434 -0.781076 23.715540 23.732865 0.510289 44.659392 44.697102 1.110671 55.644602 55.671316 0.786796 60.092896 60.087374 -0.162652 23.715540 23.758585 1.267816 29.092835 29.126009 0.977075 44.659392 44.647500 -0.350261 55.644602 55.676612 0.942794 28.213953 28.244325 0.894546 34.439065 34.421656 -0.512743 50.355257 50.384256 0.854129 55.818897 55.835925 0.501530 7.000585 7.076329 1.115447 22.931194 22.977784 0.686103 28.213953 28.196981 -0.249941 29.883098 29.879755 -0.049222 23.715540 23.770007 0.802120 44.659392 44.680538 0.311397 55.644602 55.672567 0.411824 62.861340 62.815077 -0.681289 23.715540 23.781595 0.972765 29.092835 29.159436 0.980798 44.659392 44.689893 0.449169 55.644602 55.732717 1.297621 21.907952 21.965711 0.850590 28.213953 28.239364 0.374208 29.889305 29.863227 -0.384040 42.036099 42.133600 1.435846 7.000585 22.931194 29.883098 37.667789 71.816631 80.171003 90.338983 103.989364 65.000916 67.247461 99.381040 102.659052 29.092835 61.207299 73.123861 82.034760 21.907952 29.889305 42.036099 49.597382 60.092896 71.816086 90.825387 96.606094 34.439065 72.893933 78.295090 91.349803 62.861340 65.426391 85.108551 91.656175 23.715540 44.659392 55.644602 77.377228 28.213953 50.355257 55.818897 71.008683 1 86 16.99551045 -1.606178476 7.45824544 0.0517766953 1 0.6888774907 -0.0346141802 -0.1087652541 1276.019991 0.1028356817 603.1514037 -0.3247265683 1.038733695 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.266390 -1.179781 1.017778 0.135444 0.352790 -0.514931 1.385324 1.078565 0.752952 0.763975 1.025391 1.031895 1.223670 0.995547 9.021827 9.056699 1.108569 23.103150 23.131114 0.888959 23.901347 23.925839 0.778567 29.586965 29.579439 -0.239265 24.166621 24.181492 0.472736 45.786052 45.820473 1.094205 56.722115 56.749228 0.861865 60.908030 60.901065 -0.221404 24.166621 24.206035 1.252916 31.712749 31.743929 0.991175 45.786052 45.776184 -0.313678 56.722115 56.753137 0.986142 29.586965 29.615341 0.902036 35.642518 35.625225 -0.549703 51.590698 51.616819 0.830345 56.264816 56.281780 0.539241 9.021827 9.091622 1.109355 23.901347 23.950365 0.779112 29.586965 29.568785 -0.288963 30.518273 30.510630 -0.121483 24.166621 24.212866 0.735040 45.786052 45.807278 0.337381 56.722115 56.752049 0.475783 61.059505 61.079980 0.325436 24.166621 24.228853 0.989141 31.712749 31.775227 0.993058 45.786052 45.813945 0.443350 56.722115 56.806999 1.349178 23.103150 23.158315 0.876819 29.586965 29.647019 0.954519 30.521460 30.456580 -1.031230 41.084805 41.181469 1.536414 9.021827 23.901347 30.518273 37.712423 72.033485 79.481719 90.843129 103.070667 63.276196 73.195241 99.675822 109.103921 31.712749 62.176447 77.327176 82.999669 23.103150 30.521460 41.084805 49.228859 60.908030 72.054389 91.280588 96.497802 35.642518 76.477892 79.281465 90.494259 61.059505 72.720136 85.301748 92.751902 24.166621 45.786052 56.722115 76.848862 29.586965 51.590698 56.264816 69.770549