******* Eigenvalues for the 2+1 transverse lattice ******* Couplings: m^2, G^2 N, la_1, la_2, la_3, tau_1, tau_2 0 1 2 3 4 5 6 Use chi^2 fit with 13 criteria, and tolerance 0.001. Overall scale from minimizing chi^2. 2 parity doublets with fractional errors 2 0.5. Spectrum for P_perp a = (0) ( 0.25) using (# states, o, multiplet, c^2 error for each) = (4, 1 & -1, 1 & 2, 0.5 2 0.5 0.5) (4, 1 & -1, 2 & 1, 0.5 0.5 0.5 0.5). Spectra extrapolated using (K,p) = (8/2,6) (8/2,8) (10/2,6) (10/2,8) (16/2,6) . Winding potential using (n,K,p) = ( 2,10/2,6) ( 2,10/2,4) ( 2,16/2,4) ( 3,9/2,7) ( 3,9/2,5) ( 3,13/2,5) ( 4,10/2,8) ( 4,10/2,6) ( 4,14/2,6) . Heavy potential determined using (n,K,p,K_max) = ( 1,-14/2,2,4) ( 1,-14/2,4,4) ( 1,-14/2,4,3) ( 1,-34/2,2,4) , L = 2 3 4 (all in G^2 N units); relative scale error 0.25. Roundness determined using (n,K,p,K_max) = ( 1,-7/2,3,4) ( 1,-7/2,5,4) ( 1,-7/2,3,3) ( 1,-21/2,3,4) ( 1,-7/2,3,4) ( 1,-7/2,5,4) ( 1,-7/2,3,3) ( 1,-21/2,3,4) , L= 2 1 and error 0.3 0.3 (all in G^2 N units). p-extrapolation using n=( 1) and (K,p) = (19/2,1) (29/2,1) (19/2,3) (29/2,3) (19/2,5) (21/2,5) . Result format: fit info, # steps, chi^2, p damping, and scale g^2 N/(a sigma); the 7 couplings (G^2 N units) and which--if any--were fit; winding and longitudinal string tension fits; Roundness with calculated and derived values (G^2 N units); the rescaled spectrum for each P_perp*a and c^2 values. 2 9 14.665664 -1.183936 5.981051 0.000000 1.000000 0.004311 -0.123392 10.430652 -0.748641 -1.316563 2 3 4 5 6 0.200989 -0.358426 -0.040586 0.161878 0.010875 0.085319 0.569133 0.577884 0.557846 0.503951 15.874034 15.915801 0.803345 25.151992 25.133415 -0.357312 25.595544 25.626883 0.602762 40.448646 40.471725 0.443891 19.219774 19.247501 0.533306 39.156279 39.191177 0.671219 51.905688 51.963501 1.111962 62.324906 62.292296 -0.627217 2 9 15.884444 -1.141576 5.210714 0.001968 1.000000 0.014975 -0.160688 7.382568 -0.309344 -0.428796 2 3 4 5 6 0.222487 -0.388739 -0.038484 0.203915 0.013915 0.028124 0.790638 0.668942 0.692099 0.565594 15.324599 15.370551 0.852360 24.017637 23.991752 -0.480140 24.021478 24.044029 0.418291 38.962969 38.970084 0.131970 17.686781 17.711855 0.465113 37.105868 37.139640 0.626437 48.880886 48.939814 1.093052 54.952819 54.927576 -0.468238 2 43 16.049979 -1.554091 5.699241 0.007919 1.000000 -0.014368 -0.113119 3.485230 -0.933961 -1.575939 2 3 4 5 6 0.292459 -0.446581 0.074508 0.172784 -0.008706 0.094847 0.638626 0.651945 0.630491 0.580435 19.580184 19.618774 1.029144 24.069748 24.081723 0.319353 29.408097 29.385171 -0.611390 44.917305 44.952055 0.926733 21.467771 21.484813 0.454499 47.117807 47.142668 0.663025 58.880579 58.891704 0.296697 59.757882 59.770540 0.337571 2 45 4.112494 -0.872952 7.580106 0.018006 1.000000 -0.142297 -0.091854 6.040584 -1.453721 -2.035433 2 3 4 5 6 0.315109 -0.537259 0.260119 0.132743 -0.033249 0.160574 0.604065 0.625016 0.624303 0.583706 18.878783 18.905754 1.030739 31.034067 31.015031 -0.727506 34.740491 34.763500 0.879316 58.415278 58.418624 0.127892 30.379457 30.402408 0.877123 61.153987 61.184541 1.167692 75.953651 75.980005 1.007175 76.903149 76.929306 0.999669 5 102 15.828058 -1.345622 6.000052 0.032492 1.000000 0.240982 -0.142875 1.775767 1.925489 -2.251618 2 3 4 5 6 0.373751 -0.581785 0.302611 0.169741 -0.116140 0.211619 0.623220 0.643680 0.648200 0.584876 17.337363 17.368069 1.101748 38.896486 38.913990 0.628048 44.331263 44.334876 0.129630 47.089127 47.088151 -0.035024 24.155437 24.165510 0.361412 61.930079 61.949604 0.700553 61.964419 61.994242 1.070065 73.342678 73.335811 -0.246381 5 103 11.533767 -1.533579 6.675616 0.051777 1.000000 -0.125640 -0.063758 3.733455 -1.665407 -2.197234 2 3 4 5 6 0.443867 -0.549779 0.258485 0.151009 -0.044232 0.152349 0.701861 0.723408 0.711917 0.677571 24.942248 24.962433 0.956952 37.556703 37.564603 0.374576 41.393049 41.384807 -0.390761 54.499746 54.520408 0.979557 30.970858 30.979747 0.421418 71.252246 71.271796 0.926864 74.989371 74.994823 0.258459 83.098106 83.119601 1.019025 2 15 17.483540 -1.130641 4.504526 0.076429 1.000000 -0.186524 -0.135699 4.451549 -0.522299 -2.060149 2 3 4 5 6 0.449686 -0.556650 0.261404 0.223290 -0.015185 0.044593 0.772042 0.806052 0.761370 0.709315 16.638356 16.660325 0.712036 24.963984 24.975021 0.357714 28.536379 28.521476 -0.483001 37.417246 37.453174 1.164420 21.752544 21.762632 0.326965 48.628779 48.648633 0.643463 52.061069 52.070971 0.320922 57.562604 57.563646 0.033772 -64 8 24.386766 -1.099403 3.594590 0.107240 1.000000 -0.187323 -0.221666 8.714294 0.282981 -3.002808 2 3 4 5 6 0.473002 -0.530548 0.155025 0.239238 -0.029999 0.044533 0.689045 0.744755 0.733554 0.624694 16.668668 16.695792 0.737897 22.853856 22.864584 0.291830 26.580670 26.558816 -0.594509 36.710965 36.732198 0.577643 18.271916 18.282198 0.279692 40.992835 41.013215 0.554412 42.702151 42.715754 0.370073 48.868694 48.856877 -0.321475 2 9 10.862927 -1.511501 6.511841 0.145309 1.000000 -0.211600 -0.086717 1.242314 -2.174631 -2.803297 2 3 4 5 6 0.602867 -0.501884 0.113706 0.155927 -0.063869 0.164528 0.788998 0.814211 0.806633 0.771708 16.668925 16.690612 1.362221 48.970296 48.978099 0.490122 55.276458 55.276985 0.033127 55.766491 55.766730 0.014975 36.352527 36.359045 0.409413 78.558460 78.569235 0.676818 89.802304 89.812173 0.619890 98.575814 98.594849 1.195635 2 53 25.462571 -0.716070 3.877809 0.192168 1.000000 -0.450933 -0.105160 -0.278269 0.200240 -2.525924 2 3 4 5 6 0.584446 -0.539099 0.314820 0.241017 -0.020779 0.031433 0.847021 0.849913 0.837783 0.743329 0.209350 0.224548 0.551115 16.904810 16.908333 0.127766 26.590272 26.588635 -0.059342 31.005800 31.009562 0.136415 21.684412 21.689392 0.180587 48.807517 48.813250 0.207914 49.324107 49.337402 0.482093 50.307255 50.290287 -0.615281 2 8 25.880214 -1.108066 4.265417 0.250000 1.000000 -0.424620 -0.056226 4.749611 0.045328 -2.670457 2 3 4 5 6 0.714820 -0.369911 -0.091444 0.241470 -0.015317 0.024391 0.914050 0.986359 0.901298 0.894869 18.760403 18.767777 0.359740 32.053629 32.055560 0.094210 39.875908 39.875504 -0.019719 41.212306 41.210788 -0.074053 26.551053 26.553546 0.121598 55.795060 55.797654 0.126575 65.657249 65.666279 0.440528 66.358865 66.350916 -0.387755