******* 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 90 13.718394 -1.016740 4.163604 0.000000 1.000000 -0.027768 -0.115029 -0.206536 0.578464 -1.619713 2 3 4 5 6 0.197512 -0.371305 -0.008419 0.234998 -0.148214 0.204548 0.506790 0.567155 0.524869 0.443312 -0.051098 -0.021989 0.383014 10.122114 10.144641 0.296403 15.921027 15.900244 -0.273459 24.641766 24.751576 1.444851 13.433596 13.454368 0.273309 26.183487 26.207348 0.313945 35.129589 35.199914 0.925316 43.049167 43.073223 0.316523 2 62 15.821130 -1.047222 5.092101 0.001968 1.000000 0.014067 -0.172393 8.198569 -0.161120 -0.320466 2 3 4 5 6 0.213933 -0.385926 -0.051968 0.211290 0.010947 0.021190 0.808494 0.670660 0.701148 0.559866 14.119901 14.168220 0.842206 23.534810 23.515276 -0.340473 23.536022 23.553622 0.306774 37.532662 37.539249 0.114811 17.131249 17.158017 0.466560 35.542353 35.577601 0.614364 47.315336 47.382637 1.173061 54.000327 53.978080 -0.387754 2 87 9.222473 -1.564509 6.910460 0.007919 1.000000 -0.021885 -0.105777 6.486191 -1.237018 -1.700182 2 3 4 5 6 0.295243 -0.449603 0.084340 0.146221 -0.020853 0.135118 0.615855 0.632979 0.618629 0.582102 26.252819 26.293848 1.339338 31.967147 31.930809 -1.186223 34.528153 34.557518 0.958575 57.404834 57.408392 0.116146 26.122638 26.142492 0.648134 57.177169 57.206003 0.941266 71.289697 71.314355 0.804945 72.857454 72.859243 0.058403 2 76 4.104904 -0.871359 7.590908 0.018006 1.000000 -0.142397 -0.091871 5.674889 -1.453768 -2.036072 2 3 4 5 6 0.315024 -0.537450 0.260452 0.132701 -0.033272 0.160639 0.604014 0.625432 0.624260 0.584178 18.590807 18.618381 1.054979 31.053163 31.034180 -0.726309 33.720405 33.742448 0.843365 58.474066 58.477654 0.137312 30.420645 30.443646 0.880062 61.220155 61.250759 1.170958 76.071551 76.098118 1.016474 76.994015 77.019836 0.987921 5 101 22.527350 -0.540487 3.146296 0.032492 1.000000 -0.048949 -0.331691 5.128262 0.454472 -2.746173 2 3 4 5 6 0.240798 -0.540838 -0.004537 0.238059 -0.069082 0.096504 0.529981 0.570593 0.595907 0.421287 6.311373 6.366965 0.673882 14.187704 14.205994 0.221721 18.602207 18.570985 -0.378469 24.119455 24.222665 1.251113 12.099146 12.122862 0.287486 24.428113 24.457824 0.360157 33.152919 33.127479 -0.308379 33.841550 33.863900 0.270931 2 66 16.661560 -1.402578 5.356762 0.051777 1.000000 -0.125047 -0.102857 3.651899 -1.158395 -2.027915 2 3 4 5 6 0.424938 -0.540962 0.233077 0.187180 -0.030174 0.103297 0.727656 0.748732 0.724866 0.678158 19.388320 19.410869 0.821232 29.233041 29.245182 0.442185 33.028293 33.013510 -0.538383 43.288937 43.317501 1.040348 24.641666 24.652076 0.379129 55.876186 55.895658 0.709177 59.957540 59.970209 0.461422 66.304561 66.305214 0.023783 2 28 18.337644 -1.159491 5.125454 0.076429 1.000000 -0.183501 -0.131493 4.451562 2.039299 -2.415480 2 3 4 5 6 0.453027 -0.555385 0.258957 0.159614 -0.098454 0.199043 0.718777 0.587943 0.733604 0.530267 19.179428 19.203572 0.896983 28.665731 28.677963 0.454443 32.721916 32.705702 -0.602371 42.703726 42.733727 1.114603 24.795881 24.806955 0.411416 55.615789 55.637770 0.816628 59.253791 59.264677 0.404457 65.747003 65.748565 0.058024 2 8 46.145251 -1.106646 0.488566 0.107240 1.000000 -0.183605 -0.224765 7.610274 -0.089928 -0.100000 2 3 4 5 6 0.472683 -0.529280 0.149636 0.235593 -0.014419 0.028619 1.078574 0.477478 0.945003 0.261239 2.222043 2.225775 0.013790 3.085393 2.857827 -0.840854 3.635431 3.861569 0.835574 4.611573 4.942876 1.224161 2.483426 2.484834 0.005204 5.573452 5.576170 0.010041 5.804366 5.806332 0.007264 6.651106 6.649525 -0.005840 2 28 26.031473 -1.437351 3.018273 0.145309 1.000000 -0.204875 -0.137900 -0.703128 0.153729 -0.671345 2 3 4 5 6 0.583889 -0.495302 0.086509 0.239592 -0.020689 0.032490 1.061733 0.721365 0.954295 0.594522 1.719222 1.736473 0.486438 22.009596 22.018703 0.256813 24.642606 24.648166 0.156777 25.695147 25.686757 -0.236586 16.760671 16.765047 0.123393 36.310225 36.317574 0.207222 40.961565 40.968400 0.192723 45.401180 45.457433 1.586194 2 46 41.725668 -1.492624 1.099013 0.192168 1.000000 -0.218945 -0.171349 -0.828990 0.817861 -0.643214 2 3 4 5 6 0.646303 -0.429413 -0.098299 0.238196 -0.047571 0.068297 1.110647 0.504473 1.000014 0.321460 0.794582 0.802136 0.085854 8.925184 8.929290 0.046672 9.778811 9.780809 0.022706 10.665385 10.661578 -0.043260 6.532488 6.534062 0.017879 13.712331 13.714637 0.026208 16.290636 16.293528 0.032869 18.061628 18.182821 1.377322 2 70 27.639399 -0.606376 4.065723 0.250000 1.000000 -0.578108 -0.060585 0.771699 1.653749 -5.550447 2 3 4 5 6 0.638065 -0.460851 0.231982 0.218594 -0.088886 0.136882 0.506813 0.780741 0.670849 0.694207 2.091665 2.099235 0.314218 16.082657 16.085133 0.102769 28.725001 28.724654 -0.014390 33.642627 33.644483 0.077028 23.703549 23.706586 0.126034 52.838541 52.824598 -0.578725 52.916094 52.918623 0.104981 53.477219 53.492309 0.626341