********* 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. 2 29 15.36687574 -1.297698585 10.48634483 0.007919222016 1 0.4766636174 -0.03420033848 -0.08235225798 8753.029993 0.1010361659 4193.815861 -0.7551743188 -0.6304824078 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.198527 -0.860368 0.732380 0.097003 0.269812 -0.290443 1.492735 0.819394 0.601948 0.676982 0.903110 0.869944 1.138146 0.866821 14.926712 14.960013 1.109201 24.013786 24.046010 1.073347 24.248068 24.270247 0.738772 32.273287 32.278564 0.175750 28.706467 28.728226 0.724797 56.080756 56.123725 1.431240 64.275661 64.312530 1.228066 70.035954 70.019770 -0.539097 28.706467 28.740907 1.147171 36.311753 36.338784 0.900362 56.080756 56.081532 0.025836 64.275661 64.305401 0.990606 32.482574 32.507633 0.834699 37.726002 37.711365 -0.487515 61.908934 61.934106 0.838448 62.889374 62.906183 0.559888 14.926712 14.993346 1.109746 24.013786 24.074277 1.007447 32.273287 32.276107 0.046959 32.482574 32.425874 -0.944321 28.706467 28.751000 0.741692 56.080756 56.116536 0.595893 64.275661 64.315659 0.666138 73.061849 73.162988 1.684423 28.706467 28.774360 1.130742 36.311753 36.365834 0.900682 56.080756 56.132262 0.857798 64.275661 64.366417 1.511503 24.248068 24.296084 0.799691 32.302101 32.287475 -0.243585 32.482574 32.482879 0.005082 47.543556 47.579796 0.603552 14.926712 24.013786 32.273287 41.278297 81.624668 84.475926 110.111339 120.147287 69.596698 92.241028 114.152956 118.076290 36.311753 69.755791 94.976941 97.293435 24.248068 32.302101 47.543556 55.354063 70.035954 81.761580 106.463186 109.665713 37.726002 89.438914 100.184154 99.084132 73.061849 92.212560 99.317042 99.406625 28.706467 56.080756 64.275661 80.821205 32.482574 61.908934 62.889374 69.526279 2 38 19.4495176 -1.090112241 9.091705381 0.01800590693 1 0.5509797784 -0.03715845381 -0.1044116999 2754.663256 0.09105807955 1251.064888 -0.7555401436 -0.683216902 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.216868 -0.914234 0.719815 0.113511 0.228858 -0.235430 1.527399 0.910686 0.623133 0.672737 0.912244 0.895648 1.179011 0.869207 12.305278 12.345069 1.255284 23.333345 23.355468 0.697923 24.231812 24.247748 0.502737 30.777001 30.746523 -0.961475 26.010235 26.030340 0.634249 51.289753 51.322745 1.040808 59.256586 59.292865 1.144495 64.131510 64.118250 -0.418326 26.010235 26.043609 1.052855 33.598952 33.625842 0.848317 51.289753 51.288626 -0.035556 59.256586 59.281193 0.776266 30.777001 30.801650 0.777604 35.801818 35.788420 -0.422654 56.590215 56.613219 0.725709 58.848212 58.861034 0.404523 12.305278 12.384859 1.255281 24.231812 24.263450 0.499039 30.777001 30.752225 -0.390804 31.330190 31.315695 -0.228629 26.010235 26.054625 0.700178 51.289753 51.321696 0.503865 59.256586 59.284092 0.433863 67.672160 67.717825 0.720308 26.010235 26.072810 0.987031 33.598952 33.652750 0.848588 51.289753 51.321519 0.501068 59.256586 59.349733 1.469256 23.333345 23.377791 0.701067 30.777001 30.790445 0.212067 31.381876 31.359023 -0.360472 43.381466 43.406424 0.393673 12.305278 24.231812 31.330190 38.155344 75.949225 76.175388 102.541384 101.990797 65.134053 88.559220 111.201426 107.641638 33.598952 64.194617 85.192528 93.074874 23.333345 31.381876 43.381466 51.762504 64.131510 75.387695 97.259773 101.480809 35.801818 78.871690 97.741236 94.348003 67.672160 87.997047 92.882861 83.197032 26.010235 51.289753 59.256586 76.121592 30.777001 56.590215 58.848212 67.034972