********* 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 20 61.03373928 -7.402269861 9.485530567 0 1 -0.1918108946 -0.06362468703 -0.05849717254 3.920186295 -0.02041004496 1.039110139 -0.2435597144 0.135742433 2 3 4 5 6 7 8 9 0.171485 -0.333791 -0.659400 0.124999 0.245317 -0.248472 1.666050 0.955661 0.566914 0.673061 0.779291 0.773963 1.105492 1.001036 1.178730 0.894968 8.899024 8.929680 0.797858 13.553571 13.585730 0.836959 18.416984 18.406524 -0.272224 21.759262 21.732402 -0.699074 24.875194 24.901485 0.684246 45.148537 45.170028 0.559302 51.070074 51.086748 0.433943 53.104299 53.101613 -0.069919 24.875194 24.893077 0.465412 24.909796 24.913101 0.086007 45.148537 45.149124 0.015279 51.070074 51.069005 -0.027818 21.759262 21.768972 0.252715 24.608499 24.599351 -0.238105 45.207278 45.226404 0.497776 49.744972 49.739158 -0.151316 8.899024 8.960326 0.797724 18.416984 18.395916 -0.274160 21.759262 21.732408 -0.349461 22.925604 22.929959 0.056662 24.875194 24.934075 0.766216 45.148537 45.169527 0.273144 51.070074 51.083785 0.178423 65.644683 66.219396 7.478732 24.875194 24.904098 0.376125 24.909796 24.916969 0.093343 45.148537 45.171708 0.301522 51.070074 51.087764 0.230193 13.553571 13.617441 0.831129 21.759262 21.751476 -0.101325 22.924794 22.924155 -0.008321 24.728816 24.930464 2.624043 8.899024 18.416984 22.925604 30.433293 66.027247 70.693684 85.046919 94.671532 52.684752 74.973501 82.045295 85.668126 24.909796 53.749501 75.763241 82.881568 13.553571 22.924794 24.728816 44.833095 53.104299 70.362324 84.593873 87.515561 24.608499 76.338505 81.389719 83.299523 67.003649 69.694854 84.988238 84.405187 24.875194 45.148537 51.070074 65.644683 21.759262 45.207278 49.744972 62.578110 2 10 36.24741676 -7.484819129 13.85222173 0.001967542671 1 -0.2354722888 -0.0883890924 -0.03626076341 16.1283888 0.02353288317 0.7506267925 -0.7379440071 -0.6937407039 2 3 4 5 6 7 8 9 0.216038 -0.420996 -0.238041 0.077691 0.244273 -0.182092 2.416888 1.277554 0.602783 0.716205 0.665544 0.754507 0.913702 0.855269 1.262232 0.931684 24.970545 24.993398 1.094202 26.977330 26.984971 0.365865 29.184307 29.191621 0.350235 37.522290 37.517638 -0.222752 40.948129 40.970804 1.085755 76.920062 76.957538 1.794452 83.976385 83.987614 0.537684 88.818045 88.808403 -0.461669 40.948129 40.965543 0.833833 47.472377 47.481416 0.432823 76.920062 76.915075 -0.238780 83.976385 83.972013 -0.209318 39.062438 39.074803 0.592058 42.041400 42.030622 -0.516068 77.532153 77.551557 0.929119 78.759479 78.760366 0.042450 24.970545 25.016204 1.093105 29.184307 29.198935 0.350213 37.549496 37.537043 -0.298140 39.062438 39.044656 -0.425696 40.948129 40.992735 1.067921 76.920062 76.942873 0.546118 83.976385 84.002063 0.614760 99.104615 99.211608 2.561519 40.948129 40.983716 0.851983 47.472377 47.490461 0.432945 76.920062 76.961929 1.002334 83.976385 83.964253 -0.290439 26.977330 26.992670 0.367244 37.522290 37.512246 -0.240465 39.062438 39.063753 0.031504 59.717594 59.726532 0.213997 24.970545 29.184307 37.549496 52.868090 103.616499 111.498416 148.092689 136.397368 83.246279 125.627511 131.522060 146.067928 47.472377 86.240859 130.829678 131.173761 26.977330 37.522290 59.717594 74.748716 88.818045 106.718970 148.588461 136.465372 42.041400 129.523919 129.169449 132.131784 100.868365 124.597417 130.873669 133.150964 40.948129 76.920062 83.976385 99.104615 39.062438 77.532153 78.759479 98.529220