********* Eigenvalues for the 3+1 transverse lattice ********* Couplings: m^2, G^2 N, beta, la_1, la_2, la_3, la_4, 0 1 2 3 4 5 6 la_5, tau_1, tau_2 (2-9 divided by a^2) 7 8 9 Use chi^2 fit with 41 criteria and tolerance 0.01. Overall scale from minimizing chi^2. Parity doublets (o,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 (# states, multiplet, o, c^2 error for each) = (4, 9 & 8, 1 & -1, 0.25 2 2 2) (4, 8 & 9, 1 & -1, 0.25 2 2 2) (4, 7 & 10, 1 & -1, 0.25 2 2 2) (4, 10 & 7, 1 & -1, 0.25 2 2 2) Spectrum for P_perp a = (0,0), ( 0.25 0.25) using (# states, multiplet, o, c^2 error for each) = (4, 11 & 12, 1 & -1, 0.25 2 2 2) (4, 12 & 11, 1 & -1, 0.25 2 2 2) (4, 14 & 13, 1 & -1, 0.25 2 2 2) (4, 13 & 14, 1 & -1, 0.25 2 2 2). Ordinary spectra multiplets, 4 states, (o,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) = (16/2,8) (16/2,6) (20/2,6) (26/2,6) . Winding potential using (n,K,p) = ( 2 0,20/2,4) ( 2 0,20/2,6) ( 2 0,24/2,4) ( 2 0,32/2,4) ( 3 0,19/2,5) ( 3 0,19/2,7) ( 3 0,25/2,5) ( 3 0,33/2,5) ( 4 0,18/2,6) ( 4 0,18/2,8) ( 4 0,24/2,6) ( 4 0,32/2,6) . Roundness of winding using (n,K,p) = ( 2 2,16/2,6) ( 2 2,16/2,8) ( 2 2,24/2,6) ( 2 2,28/2,6) with error 1; in G^2 N units. Heavy potential determined using (n,K,p,K_max) = ( 0 0,-34/2,2,3) ( 0 0,-34/2,4,3) ( 0 0,-34/2,2,4.5) ( 0 0,-50/2,2,3) ( 0 0,-50/2,2,4.5) ( 0 0,-60/2,2,3) ( 0 0,-60/2,2,4.5) , L = 3 4 6 (all in G^2 N units); relative scale error=0.1. Roundness determined using (n,K,p,K_max) = ( 1 0,-17/2,3,3) ( 1 0,-17/2,5,3) ( 1 0,-17/2,3,4.5) ( 1 0,-33/2,3,3) ( 1 0,-33/2,3,4.5) ( 1 0,-55/2,3,3) ( 1 0,-55/2,3,4.5) L=0 and error 0.1; ( 1 0,-17/2,3,3) ( 1 0,-17/2,5,3) ( 1 0,-17/2,3,4.5) ( 1 0,-33/2,3,3) ( 1 0,-33/2,3,4.5) ( 1 0,-55/2,3,3) ( 1 0,-55/2,3,4.5) L=2.5 and error 0.1; ( 1 0,-17/2,3,3) ( 1 0,-17/2,5,3) ( 1 0,-17/2,3,4.5) ( 1 0,-33/2,3,3) ( 1 0,-33/2,3,4.5) ( 1 0,-55/2,3,3) ( 1 0,-55/2,3,4.5) L=5 and error 0.1; ( 1 1,-30/2,2,3) ( 1 1,-30/2,4,3) ( 1 1,-30/2,2,4.5) ( 1 1,-40/2,2,3) ( 1 1,-50/2,2,4.5) ( 1 1,-60/2,2,3) ( 1 1,-60/2,2,4.5) L=0 and error 0.1; all in G^2 N units. p-extrapolation using n=( 1 0) and (K,p) = (13/2,3) (35/2,3) (45/2,3) (13/2,5) (29/2,5) (13/2,7) (17/2,7) . Result format: Fit info, # steps, chi^2, and p damping, scale G^2 N/sigma. The 10 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, 4 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 21.63808754 -1.572963748 10.81966909 0.007919222016 1 0.4844103338 -0.02368437514 -0.07191964555 297.3905393 0.1017692898 118.9412645 -0.8081678708 -0.7166529902 2 3 4 5 6 7 8 9 0.192899 -0.852526 0.672690 0.098463 0.188998 -0.125716 1.305788 0.774750 0.580776 0.630442 0.644779 0.694285 0.895120 0.849967 1.052100 0.832001 11.752653 11.786199 1.120213 23.070010 23.091355 0.712783 23.325884 23.348570 0.757554 30.129992 30.114818 -0.506729 28.042639 28.063698 0.703234 52.453555 52.495018 1.384595 61.242916 61.271365 0.950020 66.949820 66.935248 -0.486638 28.042639 28.074808 1.074253 33.702939 33.735504 1.087445 52.453555 52.446889 -0.222604 61.242916 61.267166 0.809787 30.437785 30.461334 0.786393 35.431913 35.418156 -0.459388 57.912297 57.933790 0.717706 60.084855 60.100133 0.510197 11.752653 11.819760 1.120472 23.325884 23.370554 0.745848 30.129992 30.225397 1.592958 30.437785 30.301907 -2.268729 28.042639 28.090991 0.807328 52.453555 52.482212 0.478480 61.242916 61.272733 0.497842 69.862734 69.907290 0.743946 28.042639 28.100781 0.970781 33.702939 33.768066 1.087403 52.453555 52.494366 0.681414 61.242916 61.317152 1.239504 23.070010 23.113347 0.723577 30.152988 30.219917 1.117507 30.437785 30.362442 -1.257984 47.799705 47.832234 0.543130 11.752653 23.325884 30.129992 41.256739 78.585192 82.024603 103.250095 104.489139 66.686006 89.158746 112.498249 104.578476 33.702939 66.168703 84.176879 97.572869 23.070010 30.152988 47.799705 52.518559 66.949820 78.968575 100.218053 101.873902 35.431913 76.332965 103.731675 90.907033 69.862734 88.817272 93.403711 86.750380 28.042639 52.453555 61.242916 77.035963 30.437785 57.912297 60.084855 68.628573 2 29 20.11749127 -1.436463502 10.37119901 0.01800590693 1 0.6004759605 -0.03103963355 -0.07736420642 1615.461127 0.1353960848 730.1603311 -0.8992109102 -0.8109590062 2 3 4 5 6 7 8 9 0.203383 -0.893374 0.619376 0.105174 0.163912 -0.098142 1.300991 0.811112 0.594986 0.634849 0.650353 0.703188 0.900795 0.869664 1.077554 0.844755 11.011782 11.044641 1.108942 23.115487 23.137172 0.731842 23.306753 23.331004 0.818476 29.844572 29.857763 0.445204 27.533056 27.552048 0.640972 51.722113 51.761441 1.327279 60.716690 60.746057 0.991105 66.838279 66.821392 -0.569919 27.533056 27.566576 1.131280 34.818810 34.856560 1.274033 51.722113 51.713654 -0.285497 60.716690 60.743571 0.907227 30.874508 30.898548 0.811330 36.068429 36.054593 -0.466950 57.697415 57.716707 0.651087 59.383425 59.402001 0.626927 11.011782 11.077518 1.109263 23.306753 23.354732 0.809637 29.844572 29.841630 -0.049642 30.874508 30.838820 -0.602205 27.533056 27.577980 0.758071 51.722113 51.748010 0.436991 60.716690 60.745753 0.490423 69.206645 69.237056 0.513173 27.533056 27.593195 1.014827 34.818810 34.894308 1.273994 51.722113 51.757868 0.603342 60.716690 60.798665 1.383303 23.115487 23.159272 0.738840 29.863136 29.893994 0.520723 30.874508 30.837663 -0.621730 47.575124 47.603728 0.482670 11.011782 23.306753 29.844572 41.291538 78.137524 80.924876 103.417978 97.916154 66.527791 93.545041 108.614301 108.886596 34.818810 65.983113 75.356940 111.383771 23.115487 29.863136 47.575124 52.381427 66.838279 77.996839 100.196914 103.242609 36.068429 79.451958 94.113460 105.000706 69.206645 93.205255 94.770648 88.102019 27.533056 51.722113 60.716690 77.841264 30.874508 57.697415 59.383425 71.126789