******* Eigenvalues for the 2+1 transverse lattice ******* Couplings: m^2, G^2 N, la_1/a, la_2/a, la_3/a, tau 0 1 2 3 4 5 Use chi^2 fit with 12 criteria, and tolerance 0.001. Overall scale determined by best chi^2 fit. 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) = ( 0,-14/2,2,4) ( 0,-14/2,4,4) ( 0,-14/2,4,3) ( 0,-34/2,2,4) , L = 2 3 4 (all in G^2 N units); with relative 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) , L=2 and error 0.3 (all in G^2 N units). p-extrapolation using (n,K,p) = ( 1,21/2,1) ( 1,17/2,3) ( 1,21/2,3) ( 1,21/2,5) . Result format: fit info, # steps, chi^2, p damping, and scale g^2 N/(a sigma); the 6 couplings (G^2 N units) and which--if any--were fit; winding and longitudinal string tension fits; n=1 L=2 eigenvalue and derived value (G^2 N units); the rescaled spectrum for each P_perp*a and c^2 values. 1 3 403723.721798 -0.250000 0.573367 0.000000 1.000000 -0.300000 -0.500000 10.000000 0.000000 5 -0.819896 -13.589478 -14.865233 0.465854 -3.448970 4.740319 -0.030091 -0.094908 -18.214957 -18.198191 -0.126108 -15.088131 -15.059106 -0.218317 -12.766971 -12.755547 -0.085924 -11.551774 -11.670943 0.896344 -12.692402 -12.680166 -0.092029 -9.957566 -9.949479 -0.060823 -8.087469 -8.110016 0.169597 -8.054921 -8.031391 -0.176981 1 3 336926.462122 -0.250000 0.821602 0.000000 1.000000 -0.300000 -0.450000 10.000000 0.000000 5 -0.723634 -12.310361 -13.789013 0.464460 -3.240965 4.769233 0.071504 0.174464 -23.844221 -23.822780 -0.203957 -19.209572 -19.156191 -0.507796 -16.385270 -16.417076 0.302561 -15.550498 -15.685314 1.282454 -16.178186 -16.161166 -0.161905 -12.015607 -12.017400 0.017058 -10.187249 -10.183354 -0.037060 -9.475401 -9.500640 0.240089 1 3 278023.334503 -0.250000 0.970549 0.000000 1.000000 -0.300000 -0.400000 10.000000 0.000000 5 -0.628859 -11.042995 -12.814567 0.430139 -2.849509 4.540030 0.170052 0.403935 -25.586427 -25.564304 -0.216036 -19.895191 -19.849999 -0.441317 -17.573714 -17.653181 0.776029 -16.961316 -17.080425 1.163146 -16.806907 -16.787395 -0.190543 -11.507833 -11.532084 0.236818 -10.455378 -10.434382 -0.205037 -9.280205 -9.295235 0.146772 1 3 226992.144488 -0.250000 0.989945 0.000000 1.000000 -0.300000 -0.350000 10.000000 -0.037285 5 -0.535687 -9.790589 -11.948813 0.376187 -2.336733 3.985326 0.236670 0.502419 -23.580774 -23.561714 -0.161714 -17.676971 -17.648054 -0.245356 -17.054060 -17.075998 0.186134 -15.208057 -15.298160 0.764509 -14.881023 -14.862087 -0.160673 -9.176974 -9.228313 0.435599 -8.508104 -8.480494 -0.234265 -8.518418 -8.485129 -0.282444 1 3 183883.289364 -0.250000 0.716265 0.000000 1.000000 -0.300000 -0.300000 10.000000 -0.190866 5 -0.444295 -8.556723 -11.202076 0.296765 -1.599761 2.573146 0.203333 0.301486 -15.355827 -15.344842 -0.055933 -11.124943 -11.144552 0.099847 -11.805852 -11.789281 -0.084375 -9.595301 -9.630478 0.179110 -9.207865 -9.195416 -0.063388 -5.255796 -5.327249 0.363822 -4.722528 -4.661563 -0.310418 -5.112498 -5.095486 -0.086620 1 3 148896.106346 -0.250000 0.961994 0.000000 1.000000 -0.300000 -0.250000 10.000000 -0.555080 5 -0.354947 -7.345358 -10.589904 0.279387 -1.301198 1.066490 -0.037807 -0.209270 -18.558093 -18.547615 -0.057244 -13.750348 -13.770757 0.111504 -14.086960 -14.072904 -0.076793 -11.926400 -11.944444 0.098581 -10.395260 -10.380943 -0.078219 -5.751381 -5.818886 0.368803 -4.390953 -4.326255 -0.353463 -5.360858 -5.358160 -0.014742 1 3 122381.223687 -0.250000 1.398237 0.000000 1.000000 -0.300000 -0.200000 10.000000 -0.600000 5 -0.268045 -6.160758 -10.135666 0.272743 -1.148346 0.828046 -0.020078 -0.195708 -24.453877 -24.445388 -0.050910 -18.279855 -18.297700 0.107010 -18.270664 -18.257684 -0.077836 -16.253137 -16.248737 -0.026387 -12.452310 -12.435664 -0.099817 -6.793266 -6.850340 0.342250 -3.543181 -3.503464 -0.238168 -5.628237 -5.608309 -0.119503 1 3 104416.184981 -0.250000 2.132160 0.000000 1.000000 -0.300000 -0.150000 10.000000 -0.493256 5 -0.184216 -5.007247 -9.874376 0.214461 -0.663677 0.559665 0.127448 0.032420 -34.442607 -34.438325 -0.026910 -25.034632 -25.045690 0.069496 -25.267526 -25.258342 -0.057716 -22.275906 -22.264053 -0.074490 -15.305379 -15.286745 -0.117107 -8.036257 -8.070696 0.216427 -1.911181 -1.917350 0.038764 -6.955155 -6.905670 -0.310985 1 7 93944.511327 -0.250000 2.927153 0.000000 1.000000 -0.300000 -0.100000 10.000000 -0.780451 5 -0.104457 -3.888527 -9.858509 0.269970 -1.060004 0.407648 -0.100901 -0.352948 -44.850085 -44.849769 -0.001546 -30.048809 -30.051717 0.014224 -32.311528 -32.279900 -0.154728 -26.488555 -26.510561 0.107657 -16.536898 -16.520478 -0.080328 -8.290233 -8.327389 0.181772 -0.654258 -0.667168 0.063154 -6.009902 -5.951238 -0.286994 1 5 88894.763234 -0.250000 -5.742905 0.000000 1.000000 -0.300000 -0.050000 10.000000 -0.204185 5 -0.030420 -2.805838 -10.167485 -0.158638 1.814483 -2.180808 0.430257 0.280088 85.596337 85.596901 0.001578 50.231666 50.230750 -0.002559 59.224261 59.221052 -0.008970 45.118249 45.120054 0.005046 25.027510 25.013501 -0.039155 12.700252 12.755737 0.155090 0.476556 0.490329 0.038499 3.311545 3.228296 -0.232691 1 3 87496.930745 -0.250000 -6.324894 0.000000 1.000000 -0.300000 0.000000 10.000000 -0.251628 5 0.035052 -1.753234 -10.924319 -0.153895 1.779291 -2.166850 0.406748 0.489326 93.512350 93.512314 0.000128 46.861941 46.861821 0.000426 62.854902 62.854835 0.000238 41.758972 41.759903 -0.003301 21.525752 21.534724 -0.031823 10.890321 10.918268 -0.099132 1.035596 1.060778 -0.089325 -5.138330 -5.210331 0.255400 1 3 88697.054120 -0.250000 -3.598103 0.000000 1.000000 -0.300000 0.050000 10.000000 -0.157266 5 0.086848 -0.705005 -12.330565 -0.261713 2.454939 -3.007663 0.476742 0.533852 53.564480 53.564978 -0.002487 25.281187 25.271710 0.047383 32.769938 32.779951 -0.050062 19.621947 19.621948 -0.000005 10.866238 10.882097 -0.079293 4.353754 4.342726 0.055135 0.630319 0.660121 -0.149004 -5.927043 -5.962883 0.179194 1 3 305302.042107 -0.250000 0.622846 0.000000 1.000000 -0.250000 -0.500000 10.000000 -0.000000 5 -0.731181 -11.728297 -13.157387 0.427626 -2.915809 4.541074 0.127523 0.264155 -17.206497 -17.187692 -0.137024 -14.027267 -13.993116 -0.248846 -11.739967 -11.723712 -0.118446 -10.220871 -10.326282 0.768085 -11.503283 -11.487650 -0.113916 -8.411786 -8.402684 -0.066322 -7.148362 -7.154427 0.044191 -6.954727 -6.941477 -0.096546 1 3 246860.616635 -0.250000 0.627897 0.000000 1.000000 -0.250000 -0.450000 10.000000 0.021194 5 -0.635559 -10.447492 -12.094005 0.348942 -2.275774 4.066759 0.244518 0.500123 -15.597478 -15.580417 -0.108939 -12.267284 -12.221077 -0.295033 -10.317597 -10.322696 0.032553 -9.476827 -9.586585 0.700813 -10.066840 -10.051339 -0.098972 -6.630833 -6.629575 -0.008029 -6.151342 -6.152329 0.006296 -5.573605 -5.532837 -0.260307 1 3 195964.682198 -0.250000 0.950716 0.000000 1.000000 -0.250000 -0.400000 10.000000 -0.175348 5 -0.541437 -9.182806 -11.109558 0.298540 -1.670042 2.720042 0.195760 0.341046 -21.041468 -21.018606 -0.188297 -15.655374 -15.593266 -0.511523 -14.266515 -14.344513 0.642397 -12.502579 -12.586166 0.688426 -12.990830 -12.968705 -0.182224 -7.368940 -7.374698 0.047429 -7.775013 -7.773024 -0.016385 -6.297249 -6.260689 -0.301109 1 3 152473.228751 -0.250000 0.958893 0.000000 1.000000 -0.250000 -0.350000 10.000000 -0.534793 5 -0.448946 -7.939017 -10.204310 0.272982 -1.271746 1.088566 -0.024717 -0.179973 -18.719444 -18.699530 -0.137167 -12.986044 -12.940349 -0.314743 -13.400916 -13.436863 0.247594 -10.553015 -10.678390 0.863564 -10.907452 -10.887078 -0.140329 -5.130119 -5.135559 0.037474 -6.067374 -6.005164 -0.428489 -4.516209 -4.566922 0.349309 1 3 116232.574822 -0.250000 1.116758 0.000000 1.000000 -0.250000 -0.300000 10.000000 -0.600000 5 -0.358292 -6.722032 -9.379418 0.277234 -1.159599 0.841217 -0.012996 -0.190745 -19.034098 -19.014849 -0.123232 -12.391104 -12.413430 0.142933 -14.199252 -14.174752 -0.156853 -10.247535 -10.350168 0.657060 -10.254384 -10.233463 -0.133937 -3.530694 -3.517927 -0.081736 -4.382679 -4.389118 0.041220 -4.355837 -4.336410 -0.124373 1 3 87120.688963 -0.250000 1.013985 0.000000 1.000000 -0.250000 -0.250000 10.000000 -0.600000 5 -0.269789 -5.539427 -8.636813 0.260948 -0.941180 0.632617 0.051097 -0.109824 -14.961535 -14.948070 -0.058938 -9.920185 -9.941524 0.093397 -10.884485 -10.866401 -0.079151 -7.905780 -7.967379 0.269618 -7.207093 -7.191106 -0.069977 -1.288400 -1.274033 -0.062885 -2.071525 -2.149580 0.341647 -2.448628 -2.361503 -0.381346 -64 1 65086.774761 -0.250000 1.013985 0.000000 1.000000 -0.250000 -0.200000 10.000000 -0.300000 5 -0.269789 -5.539427 -8.636813 0.260948 -0.941180 0.632617 0.051097 -0.109824 -14.961535 -14.948070 -0.058938 -9.920185 -9.941524 0.093397 -10.884485 -10.866401 -0.079151 -7.905780 -7.967379 0.269618 -7.207093 -7.191106 -0.069977 -1.288400 -1.274033 -0.062885 -2.071525 -2.149580 0.341647 -2.448628 -2.361503 -0.381346 1 7 50049.032917 -0.250000 2.648280 0.000000 1.000000 -0.250000 -0.150000 10.000000 -0.942470 5 -0.101436 -3.323424 -7.398637 0.277122 -1.139651 0.242397 -0.176446 -0.503439 -29.613380 -29.602962 -0.044780 -19.830524 -19.850538 0.086019 -19.927002 -19.909832 -0.073800 -15.887226 -15.873467 -0.059136 -9.003528 -8.979992 -0.101157 3.723401 3.763583 -0.172709 1.083664 1.061475 0.095371 3.260603 3.255655 0.021268 1 5 41394.285921 -0.250000 4.800179 0.000000 1.000000 -0.250000 -0.100000 10.000000 -0.600000 5 -0.023428 -2.330085 -6.877908 0.193700 -0.324356 -0.005333 0.191387 0.033089 -48.815867 -48.812286 -0.006443 -29.728844 -29.737247 0.015119 -31.404050 -31.393346 -0.019261 -22.480945 -22.468310 -0.022736 -8.546895 -8.519582 -0.049146 9.882507 9.941682 -0.106479 6.621813 6.553913 0.122177 9.561198 9.572092 -0.019602 1 3 37440.633576 -0.250000 4.221190 0.000000 1.000000 -0.250000 -0.050000 10.000000 0.000000 5 0.048662 -1.465860 -6.349675 0.232143 -0.058845 0.090908 0.681374 0.494503 -40.825347 -40.825496 -0.000491 -20.275286 -20.274368 0.003019 -25.468191 -25.466884 0.004295 -13.869886 -13.869362 0.001722 -1.168911 -1.152495 0.053950 9.605943 9.636885 0.101692 7.898166 7.837680 -0.198789 11.060085 11.076443 0.053763 1 3 36384.812862 -0.250000 3.906720 0.000000 1.000000 -0.250000 0.000000 10.000000 0.000000 5 0.113542 -0.807625 -5.667789 0.228618 -0.040057 0.067698 0.686569 0.535608 -37.246682 -37.246652 0.000217 -13.988029 -13.987910 0.000846 -22.646136 -22.646678 -0.003848 -7.831782 -7.831827 -0.000315 4.403245 4.416919 0.097050 8.128963 8.135852 0.048891 8.680221 8.628275 -0.368667 11.433412 11.467523 0.242092 1 5 37230.483401 -0.250000 3.244309 0.000000 1.000000 -0.250000 0.050000 10.000000 0.000000 5 0.170944 -0.446438 -4.660993 0.229065 -0.041088 0.068206 0.683945 0.538862 -31.288234 -31.288810 -0.005114 -12.238121 -12.231506 0.058693 -14.998430 -15.000436 -0.017797 -3.282246 -3.285928 -0.032671 7.255793 7.258478 0.023827 5.146026 5.142928 -0.027491 8.446538 8.400654 -0.407154 10.297053 10.351468 0.482855 -64 1 224596.300704 -0.250000 3.244309 0.000000 1.000000 -0.200000 -0.500000 10.000000 -0.300000 5 0.170944 -0.446438 -4.660993 0.229065 -0.041088 0.068206 0.683945 0.538862 -31.288234 -31.288810 -0.005114 -12.238121 -12.231506 0.058693 -14.998430 -15.000436 -0.017797 -3.282246 -3.285928 -0.032671 7.255793 7.258478 0.023827 5.146026 5.142928 -0.027491 8.446538 8.400654 -0.407154 10.297053 10.351468 0.482855 -64 1 174645.002605 -0.250000 3.244309 0.000000 1.000000 -0.200000 -0.450000 10.000000 -0.300000 5 0.170944 -0.446438 -4.660993 0.229065 -0.041088 0.068206 0.683945 0.538862 -31.288234 -31.288810 -0.005114 -12.238121 -12.231506 0.058693 -14.998430 -15.000436 -0.017797 -3.282246 -3.285928 -0.032671 7.255793 7.258478 0.023827 5.146026 5.142928 -0.027491 8.446538 8.400654 -0.407154 10.297053 10.351468 0.482855 1 3 132000.698615 -0.250000 0.594180 0.000000 1.000000 -0.200000 -0.400000 10.000000 -0.600000 5 -0.456481 -7.400030 -9.615114 0.263228 -1.128853 0.802652 -0.038510 -0.203449 -10.792332 -10.777377 -0.064897 -7.717195 -7.676731 -0.175602 -7.007062 -7.063508 0.244959 -5.491906 -5.515533 0.102537 -6.117631 -6.103173 -0.062743 -2.524476 -2.511004 -0.058462 -3.278638 -3.292276 0.059183 -2.467120 -2.398572 -0.297478 1 3 96435.084936 -0.250000 0.912190 0.000000 1.000000 -0.200000 -0.350000 10.000000 -0.600000 5 -0.364948 -6.178279 -8.649187 0.254497 -0.927888 0.615957 0.035375 -0.118217 -14.160944 -14.140799 -0.107300 -9.079675 -9.021860 -0.307949 -9.493478 -9.528287 0.185407 -6.681792 -6.764140 0.438619 -7.304717 -7.284498 -0.107697 -1.951140 -1.930835 -0.108156 -3.280391 -3.300639 0.107852 -1.718404 -1.653318 -0.346676 1 5 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