********* 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 19.49956035 -1.081246581 9.064090413 0.03249196962 1 0.6768237831 -0.06998201759 -0.1064815138 245.5300598 0.1411662678 106.9875529 -0.9009852566 -0.8218889087 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.227038 -0.926755 0.640554 0.114419 0.202256 -0.196460 1.639241 0.969615 0.624929 0.667848 0.887088 0.872682 1.222966 0.868946 13.151172 13.185768 1.139119 22.635875 22.662039 0.861478 22.886178 22.911967 0.849158 30.473579 30.486849 0.436916 26.782028 26.800425 0.605751 53.326885 53.359509 1.074186 60.591183 60.632265 1.352675 66.644282 66.624645 -0.646565 26.782028 26.815723 1.109434 36.774343 36.805761 1.034472 53.326885 53.325142 -0.057397 60.591183 60.623103 1.050998 31.669945 31.694872 0.820773 36.849085 36.835371 -0.451561 58.920455 58.939269 0.619496 59.172927 59.193668 0.682925 13.151172 13.220394 1.139623 22.886178 22.936729 0.832224 30.473579 30.475381 0.029675 31.669945 31.620605 -0.812278 26.782028 26.820321 0.630419 53.326885 53.356898 0.494100 60.591183 60.625069 0.557864 70.074340 70.115205 0.672759 26.782028 26.847937 1.085068 36.774343 36.837194 1.034713 53.326885 53.358569 0.521611 60.591183 60.701171 1.810739 22.635875 22.688740 0.870328 30.485601 30.510793 0.414736 31.669945 31.635948 -0.559700 44.053080 44.156094 1.695924 13.151172 22.886178 30.473579 39.394425 77.649179 77.859742 105.381143 99.930130 66.353697 96.727206 115.963705 110.492480 36.774343 66.070370 81.437064 111.319737 22.635875 30.485601 44.053080 52.905505 66.644282 76.690698 102.394716 104.554440 36.849085 88.482709 93.705274 105.183496 70.074340 96.524578 96.682545 86.508248 26.782028 53.326885 60.591183 77.433207 31.669945 59.172927 58.920455 70.456218 2 12 24.69171284 -1.076558897 8.786127383 0.0517766953 1 0.8575694556 -0.03497420946 -0.09848466916 218.7469984 0.1954679771 92.98077076 -1.033188115 -0.9065822488 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.235868 -0.986913 0.565248 0.121484 0.169121 -0.157071 1.435319 0.970684 0.624164 0.667089 0.869956 0.868538 1.247004 0.876196 12.469349 12.501334 1.060569 26.120629 26.139877 0.638245 26.624141 26.649329 0.835176 31.597124 31.620137 0.763050 25.646161 25.660393 0.471933 52.617657 52.646858 0.968248 61.114601 61.159281 1.481481 67.739231 67.711831 -0.908547 25.646161 25.683119 1.225462 36.723369 36.762473 1.296607 52.617657 52.606589 -0.366994 61.114601 61.154930 1.337206 32.995544 33.018025 0.745416 37.742063 37.731037 -0.365604 59.497118 59.507272 0.336698 60.082911 60.113660 1.019563 12.469349 12.533346 1.060997 26.624141 26.674563 0.835934 31.597124 31.608161 0.182970 32.995544 32.963570 -0.530087 25.646161 25.680398 0.567621 52.617657 52.640470 0.378212 61.114601 61.144146 0.489812 68.708525 68.773440 1.076229 25.646161 25.714313 1.129887 36.723369 36.801581 1.296666 52.617657 52.631182 0.224218 61.114601 61.251997 2.277863 26.120629 26.159274 0.640695 31.955778 31.990491 0.575514 32.995544 33.096658 1.676357 43.324244 43.281978 -0.700723 12.469349 26.624141 31.597124 38.689360 78.521895 77.378177 107.651603 104.463708 66.574918 105.207713 111.955082 137.507281 36.723369 65.629888 85.456676 114.302757 26.120629 31.955778 43.324244 54.052373 67.739231 76.794804 103.253414 104.871445 37.742063 90.434191 83.038413 121.887928 68.708525 88.353733 112.489818 90.480223 25.646161 52.617657 61.114601 77.283129 32.995544 59.497118 60.082911 71.870301