********* 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 48 27.49406264 -0.6995567871 8.268652832 0.07642881742 1 1.083827146 -0.04935756823 -0.1280034956 88.16873216 0.2328305557 28.74709231 -1.16280219 -1.129299016 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.212415 -1.280887 0.810662 0.127442 0.103976 -0.065040 0.480808 0.519770 0.596420 0.589529 0.796729 0.795538 1.211001 0.778747 3.324152 3.365775 1.169719 20.182667 20.205265 0.635057 21.333299 21.349705 0.461035 25.364799 25.466588 2.860506 22.146046 22.161732 0.440807 44.546298 44.571329 0.703421 53.164862 53.209049 1.241757 60.362902 60.345999 -0.475032 22.146046 22.187069 1.152828 31.041725 31.095897 1.522328 44.546298 44.530652 -0.439686 53.164862 53.200997 1.015484 27.174995 27.200862 0.726902 32.267391 32.258180 -0.258836 51.359026 51.366847 0.219779 52.572863 52.604539 0.890155 3.324152 3.407394 1.169643 21.333299 21.366265 0.463198 25.364799 25.370479 0.079814 27.174995 27.163054 -0.167792 22.146046 22.189895 0.616129 44.546298 44.563526 0.242076 53.164862 53.185592 0.291275 59.801304 59.900218 1.389866 22.146046 22.215639 0.977851 31.041725 31.150021 1.521680 44.546298 44.548082 0.025066 53.164862 53.302693 1.936681 20.182667 20.227957 0.636378 27.174995 27.251125 1.069699 30.277924 30.201557 -1.073046 35.633304 35.675026 0.586236 3.324152 21.333299 25.364799 35.096123 71.435388 68.190548 100.863470 97.258266 59.086718 101.409147 106.252277 137.674648 31.041725 57.722525 77.477020 98.733459 20.182667 30.277924 35.633304 46.011331 60.362902 68.816780 94.729596 96.159536 32.267391 82.339582 71.564985 117.582899 59.801304 80.828013 95.765773 94.818246 22.146046 44.546298 53.164862 71.826395 27.174995 51.359026 52.572863 64.894848 2 38 30.61236984 -1.084284498 7.14506208 0.1072401379 1 1.087510466 -0.02310432945 -0.1375635295 174.0868912 0.234849293 46.82532111 -1.078488251 -1.07425762 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.286500 -0.817804 -0.074265 0.148839 0.113207 -0.092962 2.048672 1.464915 0.677270 0.676116 0.896409 0.897895 1.350114 0.901027 14.516816 14.551272 1.128526 30.630384 30.661020 1.003396 30.729434 30.755747 0.861818 33.475492 33.496652 0.693054 23.685342 23.696052 0.350765 49.490641 49.509879 0.630093 60.145645 60.176985 1.026488 63.358958 63.334976 -0.785473 23.685342 23.716512 1.020899 36.914457 36.948468 1.113991 49.490641 49.485979 -0.152687 60.145645 60.237931 3.022644 34.229611 34.249318 0.645477 38.168977 38.159300 -0.316955 55.934643 55.942218 0.248104 57.255437 57.276883 0.702445 14.516816 14.585730 1.128561 30.729434 30.781792 0.857441 33.475492 33.475805 0.005114 33.477554 33.517442 0.653225 23.685342 23.710487 0.411792 49.490641 49.511337 0.338931 60.145645 60.212866 1.100851 63.609936 63.651683 0.683660 23.685342 23.743950 0.959792 36.914457 36.982491 1.114164 49.490641 49.499232 0.140697 60.145645 60.326680 2.964723 30.630384 30.692217 1.012600 33.513618 33.519815 0.101487 34.229611 34.216458 -0.215392 37.030213 37.014737 -0.253439 14.516816 30.729434 33.475492 33.477554 72.885842 70.918549 98.554022 93.805356 62.391935 108.408647 104.761339 135.827835 36.914457 61.158471 82.819689 90.390323 30.630384 37.030213 33.513618 51.988113 63.358958 70.929585 93.881093 95.110014 38.168977 83.218255 85.122177 112.986588 63.609936 87.712382 75.967634 116.730837 23.685342 49.490641 60.145645 63.986715 34.229611 55.934643 57.255437 66.913527