********** 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 minimizing chi^2. 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 32 78774908.2 -0.25 -0.2606881175 0 1 -0.6 0.0136985993 -10.68196147 -0.1917997572 -0.7662876791 3 4 5 6 0.517261 -60.107044 36.654469 -0.029246 -8.049597 0.476656 -7.611972 -5.512764 -7.599776 -7.932787 -7.587287 -8.100663 23.137344 23.137131 0.000458 20.710999 20.711001 -0.000005 18.542997 18.368331 0.376841 18.317329 18.317439 -0.000237 21.747489 21.747493 -0.000008 19.125711 19.125716 -0.000011 18.631976 18.158827 1.020818 18.327659 17.705271 1.342803 23.137344 20.710999 18.317329 11.886034 18.631976 17.080578 17.691818 16.249056 21.747489 19.125711 18.327659 17.231972 18.100989 18.077378 18.542997 17.159360 -2 1 46369757.73 -0.25 -0.2606881175 0 1 -0.5 0.029437 50 -0.225481 -1.01917 3 4 5 6 0.517261 -60.107044 36.654469 -0.029246 -8.049597 0.476656 -7.611972 -5.512764 -7.599776 -7.932787 -7.587287 -8.100663 23.137344 23.137131 0.000458 20.710999 20.711001 -0.000005 18.542997 18.368331 0.376841 18.317329 18.317439 -0.000237 21.747489 21.747493 -0.000008 19.125711 19.125716 -0.000011 18.631976 18.158827 1.020818 18.327659 17.705271 1.342803 23.137344 20.710999 18.317329 11.886034 18.631976 17.080578 17.691818 16.249056 21.747489 19.125711 18.327659 17.231972 18.100989 18.077378 18.542997 17.159360 1 17 20311493.04 -0.25 -0.3139782845 0 1 -0.4 -0.0009928893137 5116.43474 -0.2798696399 -0.9040070072 3 4 5 6 0.228012 -25.754846 21.680336 -0.013485 -2.895982 1.346335 -2.277984 6.081965 -2.219205 -2.392187 -2.173694 -2.694291 14.147967 14.147970 -0.000004 12.301334 12.301320 0.000015 10.852176 11.224704 -0.426713 10.805036 9.974748 0.951055 11.330839 11.331012 -0.000198 9.737050 9.736930 0.000138 9.549522 9.549566 -0.000050 9.266746 9.443487 -0.202449 14.147967 12.301334 10.805036 9.722130 9.186293 9.737050 7.630767 6.981391 11.330839 9.549522 9.266746 8.388894 9.974751 10.852176 8.149968 7.063733 1 9 6209914.282 -0.25 -1.049975284 0 1 -0.3 -0.01851916829 43.28959325 -0.3036738246 -0.9230649911 3 4 5 6 0.160723 -12.594519 12.035319 0.009001 -0.815206 1.328611 -0.252501 2.344888 -0.144894 -0.268320 0.074678 -0.505257 26.163005 26.163036 -0.000083 21.313724 21.313471 0.000684 17.510828 17.511051 -0.000601 17.102944 17.102857 0.000237 16.620583 16.621448 -0.002334 14.315355 13.952073 0.980893 13.706047 13.714532 -0.022910 11.466278 11.255680 0.568636 26.163005 21.313724 17.510828 14.928502 14.315355 11.466278 11.317982 8.600371 16.620583 13.706047 10.339000 8.430574 17.102944 14.807045 12.556745 10.398210 5 34 749669.0827 -0.25 -0.754913903 0 1 -0.2 -0.04188598053 0.394844671 -0.3465666692 -0.8782459248 3 4 5 6 0.138323 -3.486626 4.186943 0.066971 0.451305 -0.385541 0.498232 -0.903064 0.522328 0.466533 0.739496 0.709701 6.517234 6.517490 -0.000427 3.305179 3.306107 -0.001551 2.765653 2.739754 0.043271 2.692539 2.716202 -0.039535 0.533945 0.529604 0.007254 0.274310 -0.076536 0.586178 -0.526490 -0.161027 -0.610598 -0.728669 -0.644616 -0.140432 6.517234 3.305179 2.692539 2.152826 0.274310 -1.774907 -1.798087 -1.813305 0.533945 -1.116711 -0.526490 -0.728669 2.765653 1.276157 0.115147 -1.436690 5 32 34.54916505 -0.3096009375 7.600025626 0 1 -0.1 -0.09720544145 3900.248836 0.866333714 -0.7362485962 3 4 5 6 0.151817 -0.734705 0.945536 0.138243 0.163052 -0.121435 0.600177 0.531416 0.668500 0.667470 0.938726 0.945501 -0.063332 -0.020390 0.792749 13.162131 13.124820 -0.688796 16.651734 16.716413 1.194038 31.186616 31.126950 -1.101495 22.787949 22.844396 1.042061 33.093630 33.126607 0.608789 47.636382 47.518740 -2.171783 49.497436 49.481458 -0.294955 -0.063332 13.162131 16.651734 33.766927 49.497436 53.825970 72.120572 72.793833 22.787949 33.093630 47.636382 52.488898 31.186616 35.579363 46.046556 62.510802 5 33 6.724709295 -1.730584884 7.409184321 0 1 0 -0.1176008093 12.61009021 -0.6155233757 -0.6164392438 3 4 5 6 0.190268 -0.421902 0.251766 0.137939 0.230187 -0.225577 0.620988 0.606189 0.721357 0.738590 1.023949 1.013526 17.594575 17.640962 1.046278 27.967200 27.940239 -0.608114 33.539216 33.560094 0.470918 45.793839 45.801450 0.171669 23.492968 23.525028 0.723144 45.036456 45.073819 0.842739 59.016600 59.020933 0.097735 62.672508 62.707339 0.785625 17.594575 27.967200 33.539216 51.019366 59.016600 75.683315 90.340084 96.202569 23.492968 45.036456 62.672508 65.681206 45.793839 66.916160 74.037554 81.441968 1 23 6.555084342 -2.099194556 8.004893473 0 1 0.1 -0.1270939969 4775.854015 -0.8456016975 -0.733583403 3 4 5 6 0.194392 -0.443860 0.302428 0.124958 0.226582 -0.206217 0.612760 0.609172 0.688814 0.719355 0.975171 0.957648 25.062974 25.105214 1.051650 35.172491 35.173917 0.035484 38.710805 38.710170 -0.015822 54.701330 54.707831 0.161861 24.560673 24.587685 0.672510 51.774948 51.811771 0.916793 66.154355 66.157428 0.076526 67.758765 67.795252 0.908441 25.062974 35.172491 38.710805 66.500257 66.154355 84.741999 109.251574 110.607884 24.560673 51.774948 67.758765 73.866662 54.701330 86.534996 84.986870 94.235363 5 32 7.121482369 -1.563161134 8.309330894 0 1 0.2 -0.1574928754 3437.192941 -0.959213735 -0.7488003911 3 4 5 6 0.170303 -0.509917 0.470083 0.122356 0.210835 -0.180980 0.586830 0.577624 0.656222 0.687422 0.934866 0.922812 26.437900 26.484189 1.048059 36.094749 36.121262 0.600292 41.801774 41.777936 -0.539738 57.122971 57.130091 0.161215 23.475616 23.503671 0.635209 51.850386 51.889865 0.893853 66.925453 66.933383 0.179536 68.941332 68.979371 0.861274 26.437900 41.801774 36.094749 67.143518 66.925453 86.089066 108.202502 123.187240 23.475616 51.850386 68.941332 76.243275 57.122971 88.178406 94.250411 96.807861 5 33 6.679296838 -1.232667001 9.935173442 0 1 0.3 -0.151938577 3488.858867 -1.276728498 -0.8894611031 3 4 5 6 0.149796 -0.602333 0.708013 0.100545 0.204772 -0.154979 0.556250 0.551091 0.590421 0.632133 0.839017 0.814403 32.300707 32.344636 1.046040 41.312443 41.348743 0.864368 50.679346 50.654727 -0.586231 67.738419 67.744500 0.144802 25.608221 25.636645 0.676841 59.712992 59.753345 0.960899 77.345473 77.378860 0.795021 80.862424 80.874695 0.292215 32.300707 50.679346 41.312443 77.477692 77.345473 99.899935 124.456499 140.207281 25.608221 59.712992 80.862424 89.562705 67.738419 105.951098 100.600368 124.976948 5 32 7.832289531 -0.9910907483 10.63091017 0 1 0.4 -0.2006369519 3318.765626 -1.416836191 -0.9532793011 3 4 5 6 0.106119 -0.746132 1.060653 0.094796 0.177794 -0.112479 0.513063 0.473603 0.526045 0.556351 0.752883 0.735867 30.226271 30.284605 1.052953 40.797870 40.842473 0.805083 53.710265 53.678435 -0.574528 68.077025 68.084766 0.139727 23.552431 23.587879 0.639851 56.905314 56.954719 0.891764 76.487390 76.526945 0.713981 83.214559 83.236063 0.388150 30.226271 53.710265 40.797870 75.426460 76.487390 99.866493 121.123044 141.613004 23.552431 56.905314 83.214559 91.663531 68.077025 106.829752 98.640936 126.811206 5 33 59172274.44 -0.25 -0.2766899437 0.0025 1 -0.6 0.03133663851 -3.443167326 -0.6625851301 -1.071960427 3 4 5 6 0.424385 -46.888536 29.237480 -0.029579 -5.702561 0.483282 -5.521083 -3.026706 -5.485874 -5.583887 -5.463172 -5.753956 21.283825 21.283811 0.000027 18.424382 18.424370 0.000023 16.169594 16.169606 -0.000021 16.110916 16.072016 0.073084 18.731240 18.731219 0.000040 16.464898 16.464879 0.000036 16.029480 15.395105 1.191844 15.040499 15.220352 -0.337902 21.283825 18.424382 16.169594 16.110916 16.029480 14.381869 15.040499 13.443730 18.731240 16.464898 15.015482 14.585762 15.540209 15.428925 16.107911 14.479686 5 32 1682173.566 -0.25 -0.4895289177 0.0025 1 -0.5 0.01467927876 -1296.985843 -0.1694625399 0.1044261824 3 4 5 6 0.265674 -31.734450 24.980508 -0.009827 -4.257226 2.590032 -3.076443 6.005141 -3.102397 -3.251144 -3.017510 -3.789078 26.961928 26.961935 -0.000014 23.392739 23.392718 0.000044 20.802875 20.063805 1.537916 20.178827 19.696856 1.002926 22.310750 22.310921 -0.000355 19.662311 19.662757 -0.000928 18.576139 18.575951 0.000391 17.888877 17.888530 0.000722 26.961928 23.392739 20.802875 18.720105 17.888877 18.576139 16.646306 14.205673 22.310750 19.662311 17.388908 16.625824 18.948379 20.178827 16.864521 15.940277 1 13 12389676.22 -0.25 -0.2734701112 0.0025 1 -0.4 0.002400907838 1834.156811 -0.6653868663 -0.9921702055 3 4 5 6 0.226726 -18.231083 16.048434 0.032669 -1.533321 1.170372 -1.016232 7.458944 -0.907989 -0.984023 -0.759236 -1.135926 9.623012 9.623015 -0.000003 8.283845 8.283835 0.000010 7.270403 7.757440 -0.483162 6.770136 6.316434 0.450092 6.875780 6.875918 -0.000137 6.078961 6.077901 0.001052 5.549034 5.841346 -0.289986 5.547292 5.547778 -0.000482 9.623012 8.283845 6.770136 6.205557 5.487008 6.078961 4.504497 3.356313 6.875780 5.547292 5.549034 4.402816 6.316436 7.270403 5.220676 3.293305 5 32 1086518.108 -0.25 -0.6508175049 0.0025 1 -0.3 0.003718618343 -1042.36063 -0.6670129476 -0.9434026857 3 4 5 6 0.170650 -7.869253 7.803355 0.086740 -0.314944 0.839998 0.310871 2.832767 0.356703 0.237228 0.586688 0.287138 11.830857 11.830888 -0.000054 9.128222 9.128266 -0.000079 6.817057 6.816980 0.000136 6.566669 6.566563 0.000189 5.356012 5.356998 -0.001752 4.315510 3.873292 0.785819 3.858435 3.814099 0.078784 3.129872 2.864629 0.471335 11.830857 6.817057 9.128222 5.531100 4.315510 3.129872 2.385431 1.880492 5.356012 3.858435 2.167912 0.918330 6.566669 5.213414 3.454023 2.667322 5 34 248786.4596 -0.25 1.884857302 0.0025 1 -0.2 -0.05590456103 4.425490538 -0.6777137412 -0.9157221577 3 4 5 6 0.170653 -1.870250 2.783291 0.116141 0.171576 -0.049211 0.588796 0.198807 0.627222 0.456893 0.875848 0.749557 -9.398932 -9.398477 0.002341 -3.874762 -3.879793 -0.025891 -2.728901 -2.729180 -0.001437 1.128642 1.542512 2.129990 4.314885 4.311420 -0.017835 4.931191 4.950332 0.098512 5.813747 5.961331 0.759541 7.611831 7.872899 1.343590 -9.398932 -2.728901 -3.874762 4.000138 8.135501 5.813747 11.088343 13.655019 4.931191 4.314885 7.611831 7.915310 1.128642 1.279244 5.888654 10.337072 5 33 15.94250349 -1.197037181 9.967937565 0.0025 1 -0.1 -0.06238445593 1896.115873 -1.076268406 -0.7778778543 3 4 5 6 0.238067 -0.480889 0.382531 0.099519 0.241886 -0.194174 0.655473 0.685979 0.734749 0.750596 1.028634 0.908220 19.333685 19.357486 0.903690 29.903781 29.884670 -0.725587 49.063684 49.093891 1.146921 59.660076 59.661929 0.070344 34.979907 35.010144 1.148071 63.153433 63.182795 1.114846 81.159488 81.129878 -1.124244 84.900482 84.875484 -0.949149 19.333685 29.903781 49.063684 62.938134 81.159488 103.419087 115.908729 133.829435 34.979907 63.153433 84.900482 88.915321 59.660076 79.000711 98.939543 99.101726 1 23 8.176644017 -1.790776453 6.708897925 0.0025 1 0 -0.138461567 2749.567766 -0.6634787387 -0.7195747486 3 4 5 6 0.223003 -0.437128 0.240493 0.150588 0.202363 -0.202156 0.661317 0.615640 0.754994 0.760005 1.062529 1.059574 19.303706 19.347907 1.058064 29.387789 29.360830 -0.645333 33.718417 33.735528 0.409575 46.219414 46.225993 0.157491 22.910838 22.937527 0.638868 45.278028 45.311466 0.800429 58.334574 58.332103 -0.059169 59.434694 59.468630 0.812367 19.303706 29.387789 33.718417 53.049340 58.334574 73.993903 91.781916 96.372314 22.910838 45.278028 59.434694 64.055511 46.219414 69.733350 73.628204 74.954896 1 28 8.382634368 -2.242308736 7.109854404 0.0025 1 0.1 -0.1439388969 7136.093032 -0.8469557806 -0.7818299421 3 4 5 6 0.229950 -0.455940 0.284614 0.141613 0.201745 -0.192167 0.655487 0.628196 0.737180 0.754998 1.037206 1.027001 25.784879 25.825467 1.061747 34.581037 34.597748 0.437147 37.235286 37.212495 -0.596200 53.436843 53.442098 0.137462 23.690295 23.712660 0.585048 50.770608 50.802375 0.830985 63.026472 63.040703 0.372268 64.033819 64.048693 0.389098 25.784879 37.235286 34.581037 64.536601 64.033819 80.951775 104.267383 108.747505 23.690295 50.770608 63.026472 70.568216 53.436843 80.603849 85.848401 86.634136 5 33 8.135028131 -1.701270405 9.274625113 0.0025 1 0.2 -0.1000249053 6377.207328 -1.306761272 -0.9953524085 3 4 5 6 0.234317 -0.490796 0.390327 0.106816 0.221498 -0.190557 0.640952 0.658605 0.677313 0.733305 0.942794 0.910923 38.871998 38.902129 1.047704 44.734853 44.760740 0.900118 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