********* 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 11 47.8161779 -1.145209355 5.552977952 0.1453085056 1 1.26007 0.176242 -0.220548 10.799089 0.262786 1.781729 -0.1 0.1 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.291164 -0.782689 -0.372925 0.212637 0.051368 -0.054229 1.921574 1.500006 0.774118 0.699138 1.149768 1.033780 1.385092 0.939619 12.926981 12.972838 1.186275 26.004258 26.013860 0.248387 26.044242 26.083561 1.017142 26.682647 26.690691 0.208106 18.404126 18.413017 0.230010 39.496944 39.510323 0.346114 47.549070 47.562882 0.357314 51.649131 51.660719 0.299749 18.404126 18.429268 0.650420 29.550722 29.580557 0.771815 39.496944 39.499850 0.075187 47.549070 47.557749 0.224523 30.915656 30.932171 0.427220 33.969273 33.963411 -0.151649 45.385519 45.393225 0.199352 48.838161 48.848842 0.276302 12.926981 13.018780 1.187381 26.004258 26.022882 0.240894 26.684731 26.696587 0.153345 30.915656 30.899831 -0.204695 18.404126 18.424649 0.265464 39.496944 39.517419 0.264836 47.549070 47.547737 -0.017237 51.174176 51.194464 0.262414 18.404126 18.451666 0.614915 29.550722 29.610400 0.771908 39.496944 39.509154 0.157938 47.549070 47.594698 0.590179 26.044242 26.122472 1.011875 26.682647 26.704566 0.283520 30.915656 30.913118 -0.032823 33.205169 33.197851 -0.094659 12.926981 26.684731 26.004258 32.885060 59.762872 57.848558 80.484115 76.043109 52.543483 80.716001 110.261552 106.702460 29.550722 50.270922 65.715340 76.416909 26.044242 26.682647 33.205169 46.876826 51.933254 58.030689 74.060611 77.302732 33.969273 66.859759 72.669824 105.725177 51.174176 70.584936 67.343963 88.931461 18.404126 39.496944 51.649131 47.549070 30.915656 45.385519 48.838161 54.368500 2 21 47.14035113 -0.9033375998 5.736576806 0.1921681542 1 1.504382134 0.01293830265 -0.2099889354 35.40251251 0.2964940956 10.64388978 -0.5069850972 -0.4353557822 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.307640 -0.708784 -0.879917 0.206794 0.040089 -0.025119 1.847174 1.642347 0.765090 0.713108 1.047857 0.992751 1.401967 0.965031 10.924451 10.967544 1.216806 25.669226 25.670208 0.027742 26.769781 26.780605 0.305638 29.812851 29.827637 0.417509 19.964236 19.973222 0.253711 40.535708 40.548723 0.367508 48.733698 48.751346 0.498334 53.814368 53.803852 -0.296936 19.964236 19.993474 0.825575 32.422155 32.457877 1.008673 40.535708 40.536311 0.017031 48.733698 48.744393 0.302011 30.937132 30.955520 0.519206 34.341728 34.334026 -0.217491 46.398275 46.407308 0.255075 49.254482 49.262108 0.215331 10.924451 11.010634 1.216763 25.669226 25.670646 0.020053 29.812851 29.842343 0.416392 30.937132 30.941120 0.056292 19.964236 19.987387 0.326845 40.535708 40.554822 0.269867 48.733698 48.729423 -0.060349 52.923183 52.956947 0.476685 19.964236 20.017523 0.752320 32.422155 32.493600 1.008690 40.535708 40.543987 0.116885 48.733698 48.793968 0.850921 26.769781 26.791794 0.310786 30.273881 30.357172 1.175926 30.937132 30.896019 -0.580455 30.962856 31.000094 0.525749 10.924451 29.812851 25.669226 30.948945 61.848679 59.967503 84.483778 77.295627 53.325186 85.120625 117.740330 111.888125 32.422155 51.879015 68.635695 84.361437 30.273881 26.769781 30.962856 44.567141 53.814368 60.026699 77.921122 80.588728 34.341728 70.275385 74.204425 112.566346 52.923183 73.004331 71.763456 96.479851 19.964236 40.535708 54.298077 48.733698 30.937132 46.398275 49.254482 57.421186 2 11 183.2794227 -1.107289567 2.711882619 0.249999 1 1.793042746 0.498668268 -0.2733701498 7.106598741 0.3982458139 1.190444993 -0.1557649057 -0.371849808 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.270524 -0.633286 -1.375833 0.222864 0.018338 -0.007070 0.951441 1.358925 0.747720 0.373493 1.005769 0.781401 1.407778 0.459351 5.876100 5.907847 0.372647 11.093985 11.091110 -0.033751 11.171612 11.202193 0.358957 13.314114 14.118027 9.436378 8.392250 8.395826 0.041977 17.285113 17.294903 0.114919 21.715160 21.723067 0.092809 24.382446 24.379365 -0.036168 8.392250 8.405173 0.151689 13.707097 13.727723 0.242104 17.285113 17.292024 0.081115 21.715160 21.737343 0.260387 15.909198 15.915471 0.073624 17.017781 17.016702 -0.012667 20.513565 20.516834 0.038378 22.754700 22.758823 0.048400 5.876100 5.939405 0.371539 11.093985 11.088145 -0.034277 13.314114 13.309703 -0.025887 15.909198 17.078312 6.861561 8.392250 8.402139 0.058039 17.285113 17.295622 0.061676 21.715160 21.747582 0.190286 23.059813 23.034475 -0.148709 8.392250 8.415362 0.135645 13.707097 13.748340 0.242052 17.285113 17.309702 0.144314 21.715160 21.742273 0.159129 11.171612 11.232714 0.358608 15.909198 15.935155 0.152343 16.161748 16.250536 0.521105 16.733026 16.674765 -0.341934 5.876100 11.093985 13.314114 18.780997 28.132535 27.440991 39.800679 38.948846 24.540997 47.768764 55.909592 62.705721 13.707097 23.808652 29.938955 43.288275 11.171612 16.733026 16.161748 18.677410 24.644396 27.111455 33.937547 37.501482 17.017781 31.729554 40.166394 56.764705 23.059813 32.675576 32.116811 50.138542 8.392250 17.285113 24.382446 21.715160 15.909198 20.513565 22.754700 25.849103