********** 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 (2-6 /a) Use chi^2 fit with 14 criteria, and tolerance 0.001. Overall scale from fitting lowest state to lattice value. 2 parity doublets with fractional errors 1 0.1. Spectrum for P_perp a = (0) ( 0.25) using (# states, o, multiplet, c^2 error for each) = (4, 1 & -1, 1 & 2, 0.1 2 2 0.5) (4, 1 & -1, 2 & 1, 0.25 0.25 1 1). Spectra extrapolated using (K,p) = (20/2,6) (20/2,8) (26/2,6) (32/2,6) . Winding potential using (n,K,p) = ( 2,20/2,4) ( 2,20/2,6) ( 2,24/2,4) ( 2,34/2,4) ( 3,21/2,5) ( 3,21/2,7) ( 3,25/2,5) ( 3,35/2,5) ( 4,20/2,6) ( 4,20/2,8) ( 4,24/2,6) ( 4,34/2,6) . Heavy potential determined using (n,K,p,K_max) = ( 1,-40/2,2,4) ( 1,-40/2,4,4) ( 1,-40/2,2,3.5) ( 1,-50/2,2,3.75) ( 1,-50/2,2,4.25) ( 1,-70/2,2,4) ( 1,-70/2,2,4.5) , L = 3 4 6 (all in G^2 N units); relative scale error 0.1. Roundness determined using (n,K,p,K_max) = ( 1,-21/2,3,4) ( 1,-21/2,5,4) ( 1,-21/2,3,3.5) ( 1,-35/2,3,4) ( 1,-35/2,3,5) ( 1,-69/2,3,5) ( 1,-69/2,3,6) L=0 and error 0.1; ( 1,-21/2,3,4) ( 1,-21/2,5,4) ( 1,-21/2,3,3.5) ( 1,-35/2,3,4) ( 1,-35/2,3,5) ( 1,-69/2,3,5) ( 1,-69/2,3,6) L=2.5 and error 0.1; ( 1,-21/2,3,4) ( 1,-21/2,5,4) ( 1,-21/2,3,3.5) ( 1,-35/2,3,4) ( 1,-35/2,3,5) ( 1,-69/2,3,5) ( 1,-69/2,3,6) L=5 and error 0.1; all in G^2 N units. p-extrapolation using n=( 1) and (K,p) = (21/2,3) (27/2,3) (39/2,3) (21/2,5) (27/2,5) (21/2,7) (23/2,7) . Result format: Fit info, # steps, chi^2, p damping, and scale G^2 N/sigma. The 7 couplings (G^2 N units) and which--if any--were fit. Winding potential and heavy source potential fits. Roundness with calculated and derived values (G^2 N units). The rescaled spectrum for each P_perp*a and c^2 values. Finally come the states for the ordinary spectra. 5 27 4546208.295 -0.25 -0.7750389164 0.09 1 -0.6 0.002150254081 -1.358833654 -1.254887627 -1.249771332 3 4 5 6 0.303942 -6.464175 5.854875 0.154666 -0.422675 0.846177 0.488174 1.623762 0.542707 0.303231 0.837729 0.522096 16.524200 16.524226 -0.000097 10.484339 10.484257 0.000307 8.686371 8.686351 0.000078 8.367180 6.072627 8.648344 4.812495 4.812698 -0.000768 3.250352 2.817526 1.631353 3.231887 1.784544 5.455144 2.813511 1.565543 4.703682 16.524200 10.484339 8.686371 4.524329 1.786916 3.231887 3.250352 1.327988 4.812495 1.568893 2.813511 1.316198 6.072621 8.367180 3.381232 1.507268 5 28 1445172.391 -0.25 -1.377700057 0.09 1 -0.5 -0.06724133883 11.89287202 -1.202193122 -1.261923865 3 4 5 6 0.294585 -3.185827 4.196237 0.155795 -0.079310 0.276041 0.684860 0.406347 0.725995 0.433013 1.019699 0.762930 16.524200 16.524274 -0.000480 8.411655 8.411508 0.000955 5.145542 5.145347 0.001265 4.683999 -1.290080 38.793277 -1.530684 -1.529282 -0.009102 -1.888183 -2.947900 6.881377 -2.956200 -3.775036 5.317191 -3.765762 -5.390080 10.547673 16.524200 5.145542 8.411655 -4.598577 -5.383717 -5.748461 -1.888183 -10.868514 -3.765762 -1.530684 -2.956200 -7.496191 0.673138 4.683999 -4.739621 -6.861646 5 29 174931.8694 -0.25 -4.223267213 0.09 1 -0.4 -0.1202332899 15.96647146 -1.601065587 -1.791746856 3 4 5 6 0.327443 -1.421489 2.033811 0.129800 0.029232 0.090222 0.770990 0.380249 0.729707 0.506509 0.967236 0.766312 16.524200 16.520641 0.078755 -3.690997 -3.688307 -0.059521 -10.934858 -15.043445 90.906868 -14.959323 -15.528157 12.586073 -17.704921 -17.722293 0.384370 -23.461312 -23.478285 0.375558 -27.145022 -30.380610 71.590821 -30.412515 -35.809922 119.423384 16.524200 -3.690997 -10.934858 -18.145068 -33.851625 -44.145171 -27.145022 -57.059645 -17.704921 -23.461312 -30.412515 -39.997675 -19.632198 -14.959323 -32.598651 -47.652862 5 27 14.18625471 -0.7461192054 7.67472108 0.09 1 -0.3 -0.1323575363 4690.589124 -1.596018519 -1.625689251 3 4 5 6 0.401286 -0.527619 0.326565 0.132665 0.153128 -0.119482 0.818847 0.773530 0.813374 0.856528 1.085766 1.061195 16.524200 16.543518 0.951927 35.179514 35.163618 -0.783295 47.681067 47.693594 0.617291 63.148149 63.150459 0.113832 35.953070 35.972273 0.946221 67.565230 67.593519 1.393974 79.888576 79.877582 -0.541733 82.117078 82.095456 -1.065455 16.524200 35.179514 47.681067 66.358403 83.957527 103.565235 115.782404 130.986892 35.953070 67.565230 79.888576 82.117078 63.148149 86.508370 93.479038 112.511134 5 28 19.64400675 -1.055326036 4.4208135 0.09 1 -0.2 -0.2466071549 595.6940323 0.1550365336 -0.977541228 3 4 5 6 0.387442 -0.457904 0.094851 0.227844 0.031742 -0.035539 0.833622 0.645791 0.938067 0.869260 1.293465 1.325864 16.524200 16.563932 1.088859 27.043137 27.009798 -0.913653 28.330705 28.339686 0.246145 41.189606 41.193330 0.102053 20.923568 20.938937 0.421208 41.585288 41.608397 0.633298 47.035755 47.041596 0.160078 51.979475 51.977889 -0.043467 16.524200 27.043137 28.330705 46.699452 51.979475 63.381268 78.945482 79.736947 20.923568 41.585288 47.035755 53.686919 41.189606 60.340433 62.038624 67.156028 5 28 37.07474059 -1.603850317 3.747269215 0.09 1 -0.1 -0.2455020282 5.163981724 -0.4874676449 -1.433774316 3 4 5 6 0.427982 -0.417515 -0.009641 0.213513 0.064908 -0.070080 0.847674 0.559744 0.881614 0.792487 1.189085 1.241301 16.524200 16.555336 0.798964 22.471313 22.486968 0.401722 27.976495 27.950795 -0.659481 34.259808 34.281562 0.558201 18.179101 18.189373 0.263575 39.137329 39.154500 0.440616 40.775793 40.780844 0.129614 47.832531 47.832091 -0.011303 16.524200 22.471313 27.976495 34.259808 47.832531 57.562965 71.643772 74.107769 18.179101 39.137329 40.775793 49.909015 39.686037 56.173837 59.369065 62.677214 5 28 50.00374924 -1.923767294 3.521749311 0.09 1 0 -0.2863677642 5.278008372 -0.3976637494 -1.455530139 3 4 5 6 0.431145 -0.427715 -0.010755 0.217922 0.055327 -0.060298 0.849161 0.533182 0.880146 0.779752 1.186135 1.244879 16.524200 16.552316 0.683057 22.727884 22.747820 0.484334 29.308374 29.283925 -0.593967 32.950528 32.971633 0.512722 16.997649 17.007361 0.235949 37.482552 37.495806 0.321991 38.817014 38.825733 0.211830 46.278812 46.277104 -0.041490 16.524200 22.727884 29.308374 32.950528 46.278812 55.381895 68.804169 71.092352 16.997649 37.482552 38.817014 48.972129 39.350883 55.000117 57.523260 62.865856 5 28 63.73924935 -2.155856555 3.336183577 0.09 1 0.1 -0.329853888 6.039179558 -0.3126531892 -1.478345336 3 4 5 6 0.423194 -0.445731 0.014755 0.221195 0.047721 -0.052136 0.844153 0.503758 0.870248 0.764265 1.172104 1.243825 16.524200 16.549690 0.575822 22.372938 22.394815 0.494196 29.526629 29.506398 -0.457009 32.543792 32.561686 0.404207 15.825556 15.835060 0.214677 35.389631 35.401282 0.263193 36.850005 36.860250 0.231442 44.199688 44.196680 -0.067936 16.524200 22.372938 29.526629 32.543792 44.199688 52.705550 65.568939 67.570991 15.825556 35.389631 36.850005 47.310250 38.234336 53.058163 55.155223 60.431333 5 28 70.45500751 -2.141862549 3.274770691 0.09 1 0.2 -0.3738527227 6.566168353 -0.2163218027 -1.49960591 3 4 5 6 0.407333 -0.467694 0.056749 0.223961 0.041126 -0.044984 0.834053 0.487691 0.854102 0.757113 1.150002 1.246525 16.524200 16.548685 0.522574 22.184023 22.208229 0.516633 29.857221 29.842904 -0.305567 32.856212 32.869306 0.279465 15.117312 15.127029 0.207386 34.311684 34.323922 0.261192 35.762673 35.772921 0.218726 43.119570 43.115206 -0.093133 16.524200 22.184023 29.857221 32.856212 43.119570 51.293646 64.057919 65.797741 15.117312 34.311684 35.762673 46.625903 37.785140 52.256387 54.125635 59.366585 5 28 126.2416685 -2.000343091 2.76751259 0.09 1 0.3 -0.3375762402 28.96396288 -0.02262173013 -1.47244334 3 4 5 6 0.414799 -0.472820 0.104750 0.227177 0.033610 -0.037191 0.827710 0.417668 0.850910 0.719008 1.148490 1.232505 16.524200 16.535337 0.204556 20.076266 20.093491 0.316391 26.243610 26.227387 -0.297963 32.688432 32.746959 1.074983 12.585209 12.591964 0.124073 28.962026 28.969415 0.135734 30.640490 30.648111 0.139984 36.750836 36.749212 -0.029829 16.524200 20.076266 26.243610 33.130207 36.750836 43.502426 54.451632 55.974928 12.585209 28.962026 30.640490 39.773110 32.688432 44.950349 46.050873 50.736307 5 25 134.1485176 -1.735742857 2.773882304 0.09 1 0.4 -0.3547135309 52.61515672 0.08981295465 -1.447642303 3 4 5 6 0.395043 -0.491300 0.160521 0.227905 0.031385 -0.034914 0.812403 0.408700 0.836019 0.714559 1.131628 1.231604 16.524200 16.534387 0.178607 20.035767 20.053397 0.309114 26.528318 26.512588 -0.275790 32.469113 32.584204 2.017874 12.152480 12.159162 0.117152 28.535179 28.542975 0.136688 30.025393 30.032144 0.118365 36.156802 36.155080 -0.030186 16.524200 20.035767 26.528318 33.506913 36.156802 42.714115 53.813794 55.169679 12.152480 28.535179 30.025393 39.433282 32.469113 44.667161 45.615550 50.261956 5 27 1723850.258 -0.25 -1.259128991 0.1225 1 -0.6 -0.02361346248 -1.996773276 -1.119398403 -1.269352342 3 4 5 6 0.340314 -3.528610 4.283996 0.170634 -0.103385 0.305313 0.678684 0.437609 0.730287 0.458404 1.039070 0.819357 16.524200 16.525028 -0.005678 16.375145 16.372414 0.018727 7.293432 7.293640 -0.001426 4.713459 2.271063 16.745031 0.390456 0.391783 -0.009097 -1.009376 -1.649395 4.387963 -1.653568 -2.518268 5.928366 -2.513862 -4.230124 11.766671 16.524200 -1.081541 16.375145 7.293432 -3.916233 -4.472392 -1.009376 -6.153280 -2.513862 0.390456 -1.653568 -5.166312 2.270982 4.713459 0.706222 -5.388477 5 28 408558.0441 -0.25 -2.590632357 0.1225 1 -0.5 0.003673480579 4.781691847 -1.167238256 -1.502992563 3 4 5 6 0.420803 -1.266088 1.725280 0.174151 0.017235 0.074176 0.784029 0.354039 0.803018 0.566462 1.094433 0.949922 16.524200 16.524355 -0.002708 -2.884101 -2.883944 -0.002743 -5.123515 -5.124180 0.011602 -8.100472 -8.103062 0.045168 -11.227735 -11.229818 0.036328 -13.428375 -13.429847 0.025679 -17.113706 -17.105961 -0.135092 -18.819647 -21.049347 38.891137 16.524200 -2.884101 -5.123515 -8.100472 -21.033027 -26.489246 -18.819647 -30.044389 -11.227735 -13.428375 -17.113706 -24.047171 -11.023854 -10.065197 -13.549003 -28.005846 5 26 10554.29463 -0.2586063696 -18.81196205 0.1225 1 -0.4 -0.1797393964 3060.767588 -3.300032502 -5.793411166 3 4 5 6 0.375921 -1.000386 1.203429 -0.010482 0.143575 -0.069198 0.830695 0.016681 0.095444 0.014010 -0.223521 0.006305 16.524200 16.464432 6.762640 -55.210407 -55.157205 -6.019742 -109.145285 -109.181553 4.103734 -113.459438 -113.491409 3.617488 -88.327767 -88.397305 7.868149 -141.900908 -141.999264 11.128983 -185.268264 -185.319388 5.784578 -188.215728 -188.255196 4.465774 16.524200 -55.210407 -109.145285 -113.459438 -188.215728 -238.444655 -221.612383 -298.713854 -88.327767 -141.900908 -185.268264 -189.464806 -129.500416 -167.159882 -163.757176 -215.168116 5 28 17.72684632 -0.9154157745 4.935650506 0.1225 1 -0.3 -0.2015029857 12.8443761 -0.5735172345 -1.116429063 3 4 5 6 0.443252 -0.455625 0.092413 0.213099 0.062306 -0.064335 0.864258 0.742975 0.956235 0.926592 1.310474 1.326555 16.524200 16.552636 0.995369 29.048267 29.022867 -0.889098 30.870823 30.880799 0.349199 47.121698 47.123997 0.080467 24.791159 24.804477 0.466177 49.171280 49.194651 0.818052 53.952004 53.953725 0.060227 59.901704 59.872410 -1.025418 16.524200 29.048267 30.870823 50.365917 60.323148 73.225292 90.202151 91.111752 24.791159 49.171280 53.952004 59.901704 47.121698 67.638790 69.194023 73.134665 5 28 39.22692648 -1.332102434 3.646155984 0.1225 1 -0.2 -0.244317561 6.512733686 -0.5214868773 -1.496207703 3 4 5 6 0.467648 -0.400819 -0.068949 0.216527 0.057401 -0.061547 0.879957 0.572609 0.915946 0.804500 1.232736 1.256170 16.524200 16.553943 0.811434 22.695017 22.706041 0.300758 26.980678 26.956443 -0.661164 35.474515 35.494388 0.542170 18.746476 18.755902 0.257152 39.786461 39.802702 0.443086 40.797423 40.801904 0.122260 48.295931 48.290651 -0.144032 16.524200 22.695017 26.980678 35.474515 48.295931 57.883186 71.729464 73.746820 18.746476 39.786461 40.797423 49.377663 39.493077 55.370840 59.427735 61.135114 5 29 99.77966453 -1.734366443 2.844438221 0.1225 1 -0.1 -0.2663468885 13.98732443 -0.5783743309 -1.515257495 3 4 5 6 0.489901 -0.399960 -0.093230 0.215300 0.059886 -0.064714 0.888808 0.456023 0.924284 0.727711 1.242575 1.206561 16.524200 16.543289 0.425604 20.024159 20.034506 0.230711 24.271284 24.251735 -0.435871 33.060415 33.106862 1.035561 14.789470 14.796213 0.150353 31.829581 31.835623 0.134720 33.410126 33.419684 0.213088 39.737378 39.734609 -0.061742 16.524200 20.024159 24.271284 33.060415 39.737378 47.229823 58.249856 60.082532 14.789470 31.829581 33.410126 41.231789 33.502566 46.158941 48.782393 52.888265 5 28 42.14434238 -1.816988604 3.650097848 0.1225 1 0 -0.3532951666 4.388088305 -0.2019734946 -1.602608055 3 4 5 6 0.469619 -0.413821 -0.108320 0.226904 0.036313 -0.040345 0.885500 0.587754 0.906329 0.827351 1.213647 1.297667 16.524200 16.559776 0.975736 25.539888 25.567441 0.755672 33.248296 33.252227 0.107803 34.414396 34.405065 -0.255936 18.679271 18.689652 0.284715 40.586780 40.595915 0.250541 42.704591 42.720379 0.433003 51.343158 51.335420 -0.212251 16.524200 25.539888 33.248296 34.414396 51.343158 60.852941 75.120397 77.110400 18.679271 40.586780 42.704591 54.343864 43.988690 60.431136 63.343498 68.856167 2 19 134.5188684 -2.358227955 2.545776505 0.1225 1 0.1 -0.3259579559 48.75408591 0.2680555462 -1.791296026 3 4 5 6 0.493604 -0.427578 -0.055837 0.229693 0.028329 -0.031799 0.887586 0.421377 0.878991 0.724045 1.165610 1.242076 16.524200 16.534870 0.214532 19.928517 19.944520 0.321761 25.191566 25.174361 -0.345919 32.123104 32.171756 0.978184 13.054960 13.060881 0.119043 28.438483 28.443293 0.096705 31.092073 31.101248 0.184468 36.950295 36.947267 -0.060880 16.524200 19.928517 25.191566 32.123104 36.950295 43.516977 53.632835 55.164972 13.054960 28.438483 31.092073 39.160544 32.283298 43.770295 45.444757 49.600356 5 28 76.82579997 -2.06101275 3.087844459 0.1225 1 0.2 -0.4476124318 7.260196518 -0.04730583667 -1.666933425 3 4 5 6 0.445975 -0.451028 -0.052697 0.229353 0.030359 -0.033958 0.871653 0.486842 0.878508 0.763151 1.173591 1.264547 16.524200 16.549114 0.548953 22.643788 22.671181 0.603563 30.475666 30.473358 -0.050868 32.983720 32.982433 -0.028354 15.200590 15.210051 0.208440 33.753079 33.761250 0.180043 35.854012 35.868827 0.326440 43.500618 43.491269 -0.205986 16.524200 22.643788 30.475666 32.983720 43.500618 51.251178 63.572603 64.865230 15.200590 33.753079 35.854012 46.964109 38.254857 52.061945 54.141353 58.976483 5 28 78.45179439 -1.938995358 3.103015629 0.1225 1 0.3 -0.5003035752 7.544450558 0.05710589274 -1.699331879 3 4 5 6 0.422814 -0.475308 -0.006603 0.230083 0.028341 -0.031881 0.858285 0.476782 0.856187 0.757596 1.142446 1.262984 16.524200 16.549810 0.537597 22.454142 22.484527 0.637849 30.676561 30.680905 0.091174 33.807228 33.800604 -0.139059 14.785445 14.795500 0.211092 33.369830 33.378958 0.191621 35.157874 35.173068 0.318939 43.000520 42.989287 -0.235805 16.524200 22.454142 30.676561 33.807228 43.000520 50.575687 63.069117 64.087739 14.785445 33.369830 35.157874 46.860125 38.149053 51.864352 53.929565 58.682225 5 28 77.97563945 -1.757446534 3.151202006 0.1225 1 0.4 -0.5534286064 7.725028086 0.131668173 -1.726646938 3 4 5 6 0.395125 -0.506379 0.058717 0.230236 0.027586 -0.031190 0.841436 0.467895 0.830191 0.752172 1.106838 1.260013 16.524200 16.551111 0.536117 22.168874 22.202469 0.669268 30.900041 30.908837 0.175235 34.685968 34.676713 -0.184386 14.419518 14.430317 0.215140 33.191759 33.202632 0.216602 34.522961 34.537958 0.298778 42.608620 42.595319 -0.264967 16.524200 22.168874 30.900041 34.685968 42.608620 50.055586 62.855102 63.579557 14.419518 33.191759 34.522961 46.864112 38.075111 51.780645 53.966272 58.578637 5 28 866579.3926 -0.25 -1.775787208 0.16 1 -0.6 -0.100626094 6.072215161 -0.8804385217 -1.298345544 3 4 5 6 0.377864 -2.258257 3.092339 0.195792 0.010546 0.062063 0.790231 0.281125 0.851073 0.567401 1.180525 1.024689 16.524200 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