********* 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 30 299.7974986 -7.652824459 3.890871833 0 1 -0.2454517106 -0.08585946148 -0.06592061546 3.85602767 -0.005876379427 1.014294888 -0.5215287726 0.8071708085 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.191554 -0.291352 -0.731866 -0.009120 1.099707 -1.884470 1.914912 1.149598 0.780025 0.192025 1.371039 0.697935 1.273651 0.295248 4.797862 4.810393 0.149423 6.107603 6.126877 0.229848 7.994712 7.995428 0.008546 10.493766 10.469346 -0.291209 12.042048 12.050888 0.105428 21.428791 21.440374 0.138124 23.985362 23.993064 0.091846 25.350818 25.349241 -0.018806 12.042048 12.158134 1.384330 12.617743 12.512388 -1.256360 21.428791 21.429064 0.003250 23.985362 24.004404 0.227080 10.493766 10.499547 0.068935 11.888166 11.883533 -0.055244 21.661066 21.670476 0.112216 23.005763 23.007205 0.017193 4.797862 4.822929 0.149461 7.994712 7.996092 0.008231 10.493766 10.460915 -0.195875 10.583114 10.599543 0.097961 12.042048 12.061761 0.117541 21.428791 21.438184 0.056003 23.985362 23.996926 0.068949 29.187214 29.392432 1.223607 12.042048 12.206765 0.982130 12.617743 12.472466 -0.866216 21.428791 21.443058 0.085068 23.985362 24.025068 0.236747 6.107603 6.145859 0.228104 10.493766 10.491412 -0.014041 10.582027 10.578806 -0.019205 11.179231 11.272829 0.558077 4.797862 7.994712 10.583114 15.095225 31.739319 33.855679 33.585668 41.139171 24.837332 29.108832 31.742980 34.315312 12.617743 25.566946 29.871645 34.571861 6.107603 10.582027 11.179231 21.160736 25.350818 33.809466 32.946173 43.512384 11.888166 29.958866 32.568451 34.225076 29.422022 29.187214 33.844303 33.333329 12.042048 21.428791 23.985362 29.802282 10.493766 21.661066 23.005763 29.005996 2 38 121.6824647 -7.584987744 9.141946747 0.001967542671 1 -0.1776677052 -0.02891259876 -0.1209573133 135.2197057 0.003226390158 53.9172671 -0.77386225 -2.025603697 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.194600 -0.389790 -0.092443 0.015700 0.667287 -0.993306 2.555442 1.155452 0.484006 0.497729 0.471464 0.609994 1.266025 0.582664 20.996725 21.028081 0.892521 22.294307 22.323965 0.844184 23.562713 23.584881 0.631003 31.659820 31.613509 -1.318197 29.508209 29.534025 0.734839 57.091031 57.118454 0.780571 59.487963 59.511583 0.672323 65.006666 65.009648 0.084865 29.508209 29.553053 1.276448 33.601364 33.568450 -0.936858 57.091031 57.108964 0.510447 59.487963 59.491776 0.108538 31.659820 31.669047 0.262637 36.089479 36.083173 -0.179503 59.024663 59.034190 0.271196 60.059803 60.072889 0.372482 20.996725 21.059999 0.900528 23.562713 23.608632 0.653531 31.659820 31.585242 -1.061407 34.665390 34.626678 -0.550955 29.508209 29.547631 0.561062 57.091031 57.113664 0.322120 59.487963 59.531177 0.615028 71.847785 72.127027 3.974220 29.508209 29.607109 1.407558 33.601364 33.538562 -0.893799 57.091031 57.158952 0.966670 59.487963 59.499637 0.166139 22.294307 22.351285 0.810913 31.659820 31.661111 0.018375 34.673229 34.634716 -0.548133 51.262372 51.494304 3.300897 20.996725 23.562713 34.665390 38.696170 76.734969 83.295112 81.045053 103.531791 67.413086 76.082279 84.176958 88.305714 33.601364 66.294689 77.123148 85.796795 22.294307 34.673229 52.174094 51.262372 65.006666 81.898402 81.476875 106.595774 36.089479 77.751726 84.106928 89.243259 75.071993 75.436855 84.645103 85.003393 29.508209 57.091031 59.487963 71.847785 31.659820 59.024663 60.059803 67.601275