********** 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 26 63.05780077 -1.292737884 5.803934411 0.0225 1 0.09524264254 -0.35 11050.0638 0.9831007678 -0.858161068 2 4 5 6 0.216833 -0.536445 0.296805 0.181415 0.104257 -0.100494 0.706712 0.557371 0.794400 0.744859 1.109884 1.117682 16.524200 16.610669 1.741116 30.762047 30.785360 0.469417 35.917661 35.869873 -0.962232 45.244050 45.259594 0.312995 20.577081 20.612819 0.719616 41.090322 41.138375 0.967589 53.718033 53.737855 0.399125 55.367438 55.379365 0.240173 16.524200 35.917661 30.762047 47.967167 55.367438 69.252449 87.716322 90.783544 20.577081 41.090322 53.718033 62.482535 45.244050 69.182582 71.510415 79.637793 5 26 34.60910919 -1.31482134 5.526425594 0.0225 1 0.04003846848 -0.3 8296.880292 -0.5038671442 -0.7304533391 2 4 5 6 0.236687 -0.498904 0.234760 0.189787 0.119889 -0.126181 0.718050 0.583225 0.831067 0.782292 1.166332 1.175089 16.524200 16.595985 1.502356 29.797772 29.817871 0.420640 32.960486 32.915735 -0.936571 43.430086 43.442249 0.254538 20.361826 20.392652 0.645139 40.474086 40.515530 0.867359 51.840662 51.856211 0.325421 53.620826 53.634531 0.286828 16.524200 32.960486 29.797772 46.768711 53.620826 66.960128 84.002929 87.717231 20.361826 40.474086 51.840662 59.688989 43.430086 66.534482 69.608312 75.069794 5 26 15.17633094 -1.454195447 4.983857092 0.0225 1 0.007883666104 -0.25 39884.07158 -0.2464532948 -0.6854850374 2 4 5 6 0.261085 -0.469928 0.196457 0.206405 0.084110 -0.092490 0.727015 0.573417 0.849850 0.794774 1.193435 1.225798 16.524200 16.577509 1.109865 27.280568 27.295618 0.313328 28.987398 28.951080 -0.756124 40.038825 40.046686 0.163668 18.977564 19.000987 0.487645 38.174665 38.206737 0.667732 47.353961 47.365682 0.244030 49.443891 49.455826 0.248469 16.524200 28.987398 27.280568 44.627294 49.443891 61.580123 76.768892 81.997510 18.977564 38.174665 47.353961 54.224247 40.038825 61.084606 62.276085 68.746941 5 26 12.92184563 -1.329073748 5.323922023 0.0225 1 -0.05680445917 -0.2 21260.81331 -0.4303566426 -0.7434058382 2 4 5 6 0.272458 -0.464573 0.213888 0.193525 0.116125 -0.125852 0.730420 0.608633 0.843025 0.805850 1.179347 1.201155 16.524200 16.571551 1.098948 27.391148 27.359906 -0.725087 29.586564 29.597307 0.249345 41.280238 41.286590 0.147419 20.702737 20.725669 0.532212 40.570106 40.599730 0.687543 50.851673 50.855154 0.080792 52.189325 52.208618 0.447747 16.524200 27.391148 29.586564 45.789833 52.189325 65.146719 83.612034 83.647129 20.702737 40.570106 50.851673 56.350485 41.280238 61.144422 67.366928 67.866666 5 27 12.24763413 -1.278473216 5.725545682 0.0225 1 -0.1020975211 -0.15 8.95484164 -0.6009986882 -0.8013293416 2 4 5 6 0.287270 -0.469488 0.256343 0.179433 0.143811 -0.150076 0.730792 0.645541 0.832767 0.816123 1.161301 1.170893 16.524200 16.563745 1.040693 26.263017 26.233732 -0.770678 29.176094 29.188395 0.323726 43.108001 43.112323 0.113739 22.615849 22.636683 0.548269 43.638459 43.664089 0.674490 54.862711 54.846141 -0.436072 55.497792 55.530545 0.861935 16.524200 26.263017 29.176094 46.708270 55.497792 69.410205 86.236508 89.116016 22.615849 43.638459 54.862711 58.760670 43.108001 64.095239 67.597253 71.455117 5 28 14.24749435 -1.199863832 6.596412808 0.0225 1 -0.1387998749 -0.1 4.347204326 -0.9072292786 -1.058902245 2 4 5 6 0.302904 -0.482980 0.315341 0.151872 0.180075 -0.170049 0.728290 0.684600 0.782570 0.810945 1.076123 1.090975 16.524200 16.551137 0.861160 26.765732 26.746776 -0.606014 28.886444 28.901690 0.487410 48.030240 48.032808 0.082113 26.334222 26.352921 0.597789 50.124506 50.146592 0.706064 62.949757 62.960768 0.352025 62.989321 62.963717 -0.818528 16.524200 26.765732 28.886444 48.897799 62.949757 78.913401 95.055650 101.483274 26.334222 50.124506 62.989321 65.255496 48.030240 68.503525 75.290083 80.714081 2 8 76.70327831 -1.112632559 7.238560442 0.0225 1 -0.1657 -0.05 50 -1.16256 -1.22527 2 4 5 6 0.320286 -0.497461 0.368467 0.127966 0.199387 -0.171820 0.724167 0.681668 0.746677 0.777715 1.015980 0.999965 16.524200 16.530815 0.245372 27.155136 27.150804 -0.160716 39.148952 39.164829 0.588965 51.178394 51.179227 0.030907 29.115446 29.129146 0.508178 55.022813 55.039324 0.612476 67.311556 67.271959 -1.468866 68.084202 68.071077 -0.486867 16.524200 27.155136 39.148952 52.827765 68.084202 85.475290 100.489069 110.213095 29.115446 55.022813 67.311556 70.210384 51.178394 70.261410 79.794742 87.235349 5 28 108.5765528 -1.121227347 9.779327976 0.0225 1 -0.176984652 0 2.42209267 -1.249061877 -1.135068536 2 4 5 6 0.341814 -0.498166 0.375969 0.119779 0.203641 -0.170512 0.721735 0.858654 0.760652 0.923758 1.041770 1.090960 16.524200 16.527370 0.169522 33.166668 33.177192 0.562908 37.299868 37.299742 -0.006741 64.462458 64.472925 0.559832 39.677747 39.685993 0.441046 76.024927 76.037903 0.694021 88.550860 88.487343 -3.397083 92.183791 92.241398 3.081029 16.524200 37.299868 33.166668 64.462458 92.183791 115.511362 134.592497 148.268393 39.677747 76.024927 88.550860 94.882157 69.111589 92.795910 105.876323 118.050359 2 6 47062229.98 -0.6243154913 -88.29434411 0.0225 1 -0.223945 0.05 50 -1.6351 -1.54482 2 4 5 6 0.343102 -0.576459 0.557651 0.077369 0.200063 -0.126555 0.699340 4.198989 0.656382 4.203664 0.870979 4.217656 16.524200 16.518192 2.911915 -271.327165 -271.332350 2.513355 -387.124760 -415.387703 13699.148484 -415.557536 -415.605379 23.189469 -350.164746 -350.148275 -7.983552 -618.192831 -618.279941 42.222393 -674.171594 -673.666491 -244.824958 -758.010491 -758.480498 227.814047 16.524200 -271.327165 -387.124760 -415.557536 -758.010491 -921.255131 -1088.611963 -1178.842869 -350.164746 -618.192831 -674.171594 -832.593018 -525.900004 -660.862144 -831.953632 -916.677634 2 8 111755.9926 -0.253527188 -5.225035074 0.0225 1 -0.253067 0.1 50 -1.87138 -1.7046 2 4 5 6 0.349460 -0.707082 0.803787 0.054856 0.110837 0.016264 0.675338 0.285541 0.598939 0.332913 0.783352 0.435999 16.524200 16.525742 -0.045046 -8.589718 -8.565437 -0.709370 -11.438788 -11.449673 0.317994 -15.249348 -15.267144 0.519887 -20.168883 -20.160667 -0.240022 -29.809292 -29.808429 -0.025201 -33.854508 -33.838979 -0.453682 -39.883407 -39.911239 0.813135 16.524200 -11.438788 -8.589718 -15.249348 -39.883407 -41.100690 -55.287177 -59.222504 -20.168883 -29.809292 -33.854508 -45.817500 -22.787657 -23.031014 -40.971662 -42.051111 5 29 268455.8884 -0.25 -3.258475288 0.0225 1 -0.2779742188 0.15 -0.2356732596 -2.095750511 -1.999035782 2 4 5 6 0.353985 -0.802596 0.898661 0.033286 0.050639 0.095862 0.643674 0.164618 0.512485 0.186246 0.647473 0.247020 16.524200 16.519007 0.095833 6.107805 6.120942 -0.242463 2.593309 2.611043 -0.327283 -4.604992 -4.611239 0.115287 -11.968599 -11.957255 -0.209364 -12.834778 -12.838214 0.063416 -18.112864 -18.108745 -0.076003 -18.714779 -21.697878 55.053732 16.524200 -4.604992 6.107805 2.593309 -21.688359 -18.714779 -31.006160 -31.112790 -11.968599 -12.834778 -18.112864 -23.580947 -8.313172 -10.335317 -20.123379 -21.811018 5 26 23.52789225 -1.499116736 4.349865918 0.04 1 0.0781305325 -0.35 19633.70834 -0.1331611813 -0.5410003382 2 4 5 6 0.277785 -0.497042 0.175995 0.217545 0.054683 -0.059474 0.753654 0.527488 0.910321 0.775077 1.285600 1.240491 16.524200 16.583366 1.143868 24.969106 24.983042 0.269433 30.108957 30.071092 -0.732042 38.567266 38.575641 0.161907 17.184519 17.205921 0.413772 35.702934 35.734749 0.615095 42.510576 42.523830 0.256242 46.350218 46.350950 0.014149 16.524200 30.108957 24.969106 43.343396 46.350218 57.049102 72.779754 74.665331 17.184519 35.702934 42.510576 51.198067 38.567266 57.050972 60.455107 64.444744 5 28 20.02711043 -1.397155283 4.475810204 0.04 1 0.00498674048 -0.3 5740.022203 0.1649836876 -0.7887486003 2 4 5 6 0.290840 -0.472702 0.143708 0.222235 0.040778 -0.044839 0.761548 0.558630 0.876626 0.800166 1.223019 1.266585 16.524200 16.578635 1.133759 25.964915 25.978834 0.289899 29.069616 29.031296 -0.798136 39.048946 39.056306 0.153289 18.165393 18.186225 0.433898 37.051349 37.081482 0.627614 44.129261 44.141183 0.248309 47.718370 47.721936 0.074279 16.524200 29.069616 25.964915 43.960903 47.718370 58.815022 74.782332 76.461510 18.165393 37.051349 44.129261 52.094408 39.048946 58.272896 61.596333 64.922095 5 27 17.39983703 -1.296419103 4.711182955 0.04 1 -0.05946385642 -0.25 3797.838901 -0.06717170754 -0.7508064946 2 4 5 6 0.301633 -0.464140 0.154323 0.218990 0.051679 -0.056756 0.765030 0.596366 0.887019 0.823806 1.238416 1.274471 16.524200 16.573538 1.121791 27.355391 27.367385 0.272720 28.068595 28.032475 -0.821249 39.959871 39.966072 0.140999 19.469620 19.489978 0.462866 38.900037 38.928299 0.642579 46.683768 46.693372 0.218376 49.764464 49.771406 0.157836 16.524200 28.068595 27.355391 44.980748 49.764464 61.480614 76.244817 79.924799 19.469620 38.900037 46.683768 53.582243 39.959871 60.289279 61.331857 67.723982 5 27 14.110022 -1.182570572 5.148272838 0.04 1 -0.1167483566 -0.2 2391.367688 -0.4366414081 -0.8242517066 2 4 5 6 0.310796 -0.472101 0.206889 0.201076 0.096491 -0.104040 0.764396 0.637353 0.873302 0.834503 1.214966 1.237689 16.524200 16.567491 1.108296 26.995016 26.961732 -0.852109 29.990954 30.002249 0.289151 41.883581 41.888542 0.127014 21.499494 21.519653 0.516090 41.915358 41.941817 0.677364 51.071361 51.076147 0.122528 53.327771 53.339592 0.302617 16.524200 26.995016 29.990954 46.819139 53.327771 66.118699 82.193355 86.915060 21.499494 41.915358 51.071361 56.417028 41.883581 61.526175 66.793095 69.076961 5 28 9.955953787 -1.014919203 6.18149902 0.04 1 -0.1686706036 -0.15 50.41403142 -0.8568992938 -1.010097557 2 4 5 6 0.318297 -0.499772 0.305394 0.168763 0.148795 -0.143508 0.759488 0.696200 0.834790 0.839507 1.151226 1.154049 16.524200 16.559202 1.101881 27.561287 27.532349 -0.911000 35.231765 35.245366 0.428167 47.366075 47.369901 0.120426 25.887867 25.909116 0.668926 48.897639 48.923674 0.819617 60.996613 60.987324 -0.292424 61.994257 62.012506 0.574508 16.524200 27.561287 35.231765 51.319264 61.994257 77.276976 95.778496 98.761860 25.887867 48.897639 60.996613 64.127194 47.366075 65.454271 78.074457 79.313665 5 28 23.01951946 -1.052923238 6.569862753 0.04 1 -0.187744898 -0.1 6.689192619 -1.027834252 -1.147913657 2 4 5 6 0.340334 -0.494163 0.317882 0.154667 0.164140 -0.150780 0.759208 0.717598 0.811667 0.838948 1.111490 1.114607 16.524200 16.543693 0.697375 27.979694 27.965678 -0.501430 33.074748 33.087896 0.470375 50.314766 50.316648 0.067323 27.848730 27.865214 0.589726 53.121488 53.142272 0.743573 64.738581 64.727002 -0.414233 66.092770 66.068398 -0.871900 16.524200 27.979694 33.074748 52.298995 66.092770 82.316033 100.457439 105.219839 27.848730 53.121488 64.738581 67.015173 50.314766 68.287755 81.249357 84.169719 2 23 96.54642829 -1.001223031 7.374116779 0.04 1 -0.2112291247 -0.05 103.7506156 -1.291776461 -1.277572758 2 4 5 6 0.358086 -0.501817 0.354632 0.130873 0.183228 -0.154715 0.755438 0.725671 0.782614 0.816470 1.063156 1.032787 16.524200 16.528999 0.202754 30.033619 30.030791 -0.119456 41.930592 41.944663 0.594495 55.296655 55.297301 0.027288 31.412019 31.424169 0.513312 59.877155 59.893761 0.701618 71.072086 71.044513 -1.164936 73.440118 73.496361 2.376185 16.524200 30.033619 41.930592 56.504070 73.440118 91.515513 109.696990 117.336517 31.412019 59.877155 71.072086 73.782962 55.296655 73.603655 87.765978 93.485426 5 27 239.7708473 -0.9805567241 8.883053678 0.04 1 -0.2247570973 0 1438.348287 -1.555009301 -1.397428329 2 4 5 6 0.377263 -0.502038 0.363534 0.106193 0.199483 -0.158076 0.751874 0.749912 0.756852 0.810472 1.020291 0.964017 16.524200 16.524544 0.018461 36.337095 36.337967 0.046761 50.343637 50.360004 0.877618 63.462286 63.463444 0.062083 37.997169 38.003802 0.355677 73.040477 73.053391 0.692447 82.939900 82.896433 -2.330702 88.161776 88.348991 10.038428 16.524200 36.337095 50.343637 63.462286 88.161776 109.705866 130.155933 139.305370 37.997169 73.040477 82.939900 88.571012 65.964403 86.228810 103.077538 112.244546 2 6 7188043.967 -0.5569964677 -38.96032531 0.04 1 -0.2692 0.05 50 -1.81649 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