********** 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 29 32.34800167 -0.3064113622 3.84648947 0.2025 1 -0.4726225099 -0.35 104.9623392 0.1117439387 -1.392714498 2 4 5 6 0.417948 -0.987398 0.928672 0.233897 0.021787 -0.025593 0.908804 0.593130 0.975740 0.839285 1.325453 1.323341 0.992453 1.033333 1.051524 17.545632 17.509642 -0.925742 25.869158 25.875740 0.169295 32.660536 32.665071 0.116646 20.151571 20.169182 0.453005 34.176087 34.207763 0.814761 42.766731 42.765710 -0.026245 44.386402 44.313031 -1.887256 0.992453 17.545632 25.869158 33.542025 44.952043 55.777000 68.366113 69.958236 20.151571 34.176087 42.766731 44.386402 32.660536 49.951020 48.989776 49.457951 5 28 30.2281566 -0.616107674 3.981627084 0.2025 1 -0.4389202446 -0.3 104.7604253 -0.01405086349 -1.261039128 2 4 5 6 0.487879 -0.525279 0.098106 0.233507 0.023129 -0.026429 0.926299 0.663033 1.015480 0.889283 1.382421 1.354500 10.682924 10.714466 0.980339 24.555672 24.527745 -0.868016 28.088741 28.094948 0.192914 39.889173 39.892101 0.091015 21.791950 21.804828 0.400250 42.675219 42.715769 1.260330 44.589049 44.576093 -0.402680 50.833990 50.790451 -1.353231 10.682924 24.555672 28.088741 43.530083 51.887037 62.678797 76.997194 77.953148 21.791950 42.675219 44.589049 50.833990 39.889173 56.694659 60.636646 61.636009 5 29 23.69461664 -0.8715602621 4.554468165 0.2025 1 -0.4078737549 -0.25 4226.507505 -0.298778779 -1.323783696 2 4 5 6 0.538775 -0.394170 -0.140885 0.229633 0.030483 -0.033324 0.938405 0.788186 1.020855 0.981087 1.384920 1.406100 18.860240 18.886463 1.029555 32.084934 32.083377 -0.061147 33.363901 33.348436 -0.607203 50.128227 50.130254 0.079559 25.662610 25.673438 0.425094 52.792028 52.806974 0.586788 52.807214 52.818312 0.435722 61.777627 61.747156 -1.196358 18.860240 32.084934 33.363901 55.915494 63.335743 75.584014 92.887523 93.442865 25.662610 52.807214 52.792028 61.777627 50.128227 68.966816 75.838341 76.751981 2 25 18.23453077 -0.8026459193 5.839400915 0.2025 1 -0.4419125974 -0.2 6187.225296 -1.482331698 -1.761084096 2 4 5 6 0.546490 -0.404532 -0.088373 0.178095 0.092690 -0.079591 0.933469 0.843047 0.949692 0.965150 1.266320 1.257071 20.637770 20.657608 1.012922 38.937292 38.910080 -1.389415 41.955151 41.972241 0.872619 62.228443 62.230177 0.088501 32.731865 32.743759 0.607294 66.804863 66.819353 0.739844 67.173076 67.187372 0.729956 76.029310 76.002588 -1.364401 20.637770 38.937292 41.955151 68.700928 79.675456 95.316520 116.500403 117.890206 32.731865 67.173076 66.804863 76.029310 62.228443 85.483661 94.020049 94.211751 2 21 18.48934052 -0.7504087272 7.776910096 0.2025 1 -0.468776396 -0.15 55.73105106 -2.163031761 -2.157358461 2 4 5 6 0.556865 -0.408861 -0.053158 0.131108 0.128815 -0.100641 0.928923 0.872344 0.883498 0.941355 1.154016 1.119996 22.579497 22.592850 0.925212 49.566404 49.551321 -1.045133 54.749977 54.762902 0.895558 80.702339 80.703652 0.090967 43.390989 43.403810 0.888372 88.170729 88.185776 1.042656 88.837684 88.854784 1.184874 97.542239 97.512252 -2.077836 22.579497 49.566404 54.749977 86.787847 104.535550 125.237869 151.733094 155.096741 43.390989 88.837684 88.170729 97.542239 80.702339 110.425447 119.606790 123.155312 2 22 29.58947543 -0.7783830982 9.972784496 0.2025 1 -0.4772337031 -0.1 14.0523304 -2.556573668 -2.312694203 2 4 5 6 0.576881 -0.385439 -0.083947 0.100275 0.155465 -0.124436 0.928535 0.898578 0.858926 0.939706 1.111258 1.051853 26.840323 26.848434 0.746644 65.693320 65.687433 -0.541857 65.698670 65.710662 1.103803 104.098908 104.106123 0.664217 55.811113 55.822948 1.089381 114.320716 114.333783 1.202779 114.568824 114.588578 1.818349 123.860171 123.826627 -3.087763 26.840323 65.693320 65.698670 105.917911 134.903156 161.249569 193.884442 199.612473 55.811113 114.320716 114.568824 123.860171 104.098908 140.811964 152.665246 159.314068 2 7 191.0910791 -0.7726323668 12.17660551 0.2025 1 -0.490051 -0.05 50 -3.31835 -2.3394 2 4 5 6 0.592502 -0.371740 -0.098975 0.034311 0.211594 -0.181791 0.926010 0.513792 0.851577 0.525690 1.099823 0.558972 30.091527 30.093853 0.268516 79.941112 79.932668 -0.974783 84.218148 84.238317 2.328253 126.183332 126.183599 0.030805 68.051823 68.061067 1.067061 139.195399 139.205931 1.215757 140.380245 140.400020 2.282711 148.204686 148.167790 -4.259072 30.091527 79.941112 84.218148 131.014491 164.342888 196.206945 233.530242 243.218327 68.051823 139.195399 140.380245 148.204686 126.183332 169.119022 182.674826 194.452334 5 29 280.9015528 -0.7650901215 -12.60667354 0.2025 1 -0.5012168366 0 15.32399273 -3.815772668 -4.902226378 2 4 5 6 0.607369 -0.356834 -0.122539 -0.016820 0.256517 -0.233761 0.923072 0.067473 0.424684 0.062942 0.337090 0.049893 -25.368745 -25.369085 0.041575 -82.720666 -82.716893 -0.462231 -83.538344 -83.555907 2.151640 -128.084969 -128.089250 0.524463 -70.282391 -70.286667 0.523863 -143.461346 -143.467687 0.776829 -145.377433 -145.389646 1.496258 -150.718051 -150.686722 -3.838202 -25.368745 -82.720666 -83.538344 -128.084969 -169.684088 -202.302109 -238.275049 -251.152280 -70.282391 -143.461346 -145.377433 -150.718051 -129.597785 -172.053732 -185.515912 -201.222881 -2 17 428.8210439 -0.7490612441 -13.38209913 0.2025 1 -0.5122516686 0.05 394.8266407 -4.2373894 -4.870095809 2 4 5 6 0.620592 -0.341754 -0.152557 -0.057052 0.290442 -0.275378 0.919246 -0.337126 0.424822 -0.353102 0.339613 -0.398825 -22.719876 -22.720604 0.096668 -84.403004 -84.446229 5.743584 -96.531367 -96.501888 -3.917084 -133.676068 -133.677150 0.143797 -74.274293 -74.273317 -0.129628 -151.092747 -151.095428 0.356268 -152.596300 -152.589837 -0.858762 -158.059558 -158.043976 -2.070552 -22.719876 -84.403004 -96.531367 -133.676068 -179.178172 -213.334274 -248.521401 -264.794814 -74.274293 -151.092747 -152.596300 -158.059558 -135.923368 -178.797507 -192.477153 -213.004267 -2 21 295.3971875 -0.7338980269 -13.16063339 0.2025 1 -0.5253236621 0.1 91498.95888 -4.109380459 -6.606574007 2 4 5 6 0.633032 -0.323827 -0.195275 -0.044476 0.272029 -0.253773 0.915039 -0.217913 0.109665 -0.230340 -0.238532 -0.265918 -16.542773 -16.545392 0.349059 -86.502893 -86.508031 0.684872 -91.113938 -91.121103 0.955073 -125.465464 -125.467554 0.278536 -72.644577 -72.638271 -0.840565 -146.990596 -146.989449 -0.152810 -147.127649 -147.112477 -2.022351 -155.008750 -155.001145 -1.013760 -16.542773 -86.502893 -91.113938 -125.465464 -175.240327 -208.308157 -240.021531 -257.264144 -72.644577 -146.990596 -147.127649 -155.008750 -132.000284 -171.995296 -185.259905 -208.892726 -2 6 911.1087333 -0.7152195899 -0.8541764588 0.2025 1 -0.53409 0.15 50 -6.16279 -3.30804 2 4 5 6 0.644106 -0.303563 -0.249852 -0.286006 0.502131 -0.542579 0.910116 -0.485409 0.675911 -0.448585 0.797416 -1.048789 -0.628226 -0.628564 0.002977 -5.616660 -5.616481 -0.001578 -5.779482 -5.780424 0.008289 -7.690401 -7.929213 2.102228 -4.681085 -4.680333 -0.006622 -9.348852 -9.347815 -0.009124 -9.383628 -9.383296 -0.002926 -10.037304 -10.036867 -0.003843 -0.628226 -5.616660 -5.779482 -7.690401 -11.291816 -13.399221 -15.268311 -16.467772 -4.681085 -9.383628 -9.348852 -10.037304 -8.435687 -10.888502 -11.746090 -13.500185 2 19 46.73352636 -0.2962718483 3.748567523 0.25 1 -0.5582540993 -0.35 85.6977019 0.7433834825 -1.118774187 2 4 5 6 0.471767 -0.974258 0.845766 0.224676 0.030424 -0.029787 0.943869 0.597332 1.060790 0.828432 1.451990 1.288703 0.016076 0.048570 0.919418 17.587268 17.558380 -0.817384 26.146508 26.151817 0.150200 33.569747 33.572910 0.089487 20.785332 20.800126 0.418596 36.777556 36.832958 1.567623 41.781391 41.756122 -0.715005 44.425081 44.384461 -1.149346 0.016076 17.587268 26.146508 34.872063 46.205478 56.976383 68.589663 71.821903 20.785332 36.777556 41.781391 44.425081 33.569747 50.171982 50.392657 52.513257 2 24 29.06467183 -0.6072980291 4.282963992 0.25 1 -0.5203624235 -0.3 523.0113991 0.0611698188 -1.47669566 2 4 5 6 0.546894 -0.480971 -0.038585 0.235400 0.020193 -0.023704 0.963317 0.758303 1.032046 0.964183 1.392819 1.409471 12.113402 12.141273 1.044556 27.975876 27.960634 -0.571216 32.014144 32.010253 -0.145808 45.778305 45.780783 0.092898 24.821348 24.833241 0.445710 48.689316 48.704723 0.577431 50.195334 50.209125 0.516865 57.022094 56.986528 -1.332942 12.113402 27.975876 32.014144 50.056891 59.340739 71.109836 85.982061 87.800580 24.821348 50.195334 48.689316 57.022094 45.778305 63.424415 69.411624 71.614718 5 25 19.93996049 -0.5880958092 5.162831172 0.25 1 -0.5398310786 -0.25 481.3749348 -1.103066645 -1.687098196 2 4 5 6 0.560874 -0.474429 -0.019548 0.205077 0.054207 -0.044743 0.960629 0.835569 0.998382 0.988734 1.337356 1.343337 12.661903 12.683416 0.996706 32.936657 32.911188 -1.180027 37.845993 37.858648 0.586340 54.298023 54.300070 0.094858 29.879029 29.891335 0.570150 58.550479 58.567981 0.810886 60.349399 60.363059 0.632884 66.873204 66.841729 -1.458279 12.661903 32.936657 37.845993 58.676886 70.963741 85.092200 102.066022 105.422193 29.879029 60.349399 58.550479 66.873204 54.298023 74.873141 82.131744 84.036177 2 19 21.20681857 -0.6457148562 6.039209809 0.25 1 -0.5446322948 -0.2 54.80529799 -1.555145978 -1.756129725 2 4 5 6 0.586284 -0.418845 -0.103868 0.182163 0.074877 -0.057420 0.962465 0.904811 0.990525 1.021530 1.322954 1.307065 15.786677 15.802064 0.871661 37.931451 37.934989 0.200466 45.858855 45.848770 -0.571323 64.802101 64.803539 0.081480 35.209415 35.220845 0.647516 70.186152 70.208348 1.257436 71.152406 71.161517 0.516134 78.396786 78.367072 -1.683329 15.786677 37.931451 45.858855 69.385394 84.327143 100.716109 120.421610 124.373656 35.209415 71.152406 70.186152 78.396786 64.802101 88.049138 97.989357 99.280256 5 27 20.52044463 -0.704931286 6.80178474 0.25 1 -0.5469797105 -0.15 5.333906338 -2.064949488 -2.162807803 2 4 5 6 0.611112 -0.373535 -0.174711 0.150990 0.101807 -0.077269 0.964263 0.890118 0.932641 0.975810 1.222358 1.193265 15.643025 15.657945 0.992312 39.007708 39.022848 1.006884 46.540074 46.531792 -0.550803 62.479184 62.496111 1.125766 39.926425 39.936194 0.649710 80.577849 80.584393 0.435216 81.133469 81.156469 1.529614 88.616497 88.588404 -1.868334 15.643025 46.540074 39.007708 62.479184 96.492524 114.800236 136.816570 141.256668 39.926425 80.577849 81.133469 88.616497 74.485930 99.778595 112.539590 113.243354 2 7 66.92996553 -0.794519059 10.69764948 0.25 1 -0.540532 -0.1 50 -3.09544 -2.36195 2 4 5 6 0.639020 -0.328837 -0.252141 0.074319 0.173206 -0.147202 0.967785 0.791534 0.907212 0.818828 1.176210 0.894550 34.347670 34.354198 0.713954 78.136401 78.127124 -1.014688 78.251167 78.265927 1.614397 121.019205 121.019847 0.070200 63.400238 63.410922 1.168590 127.668179 127.674595 0.701792 132.296256 132.326784 3.339003 141.554981 141.517947 -4.050655 34.347670 78.136401 78.251167 128.489596 155.401924 183.980367 218.166048 226.006902 63.400238 127.668179 132.296256 141.554981 121.019205 159.601476 182.076890 183.360954 5 27 21.9641246 -1.57252971 10.42960249 0.25 1 -0.3647217199 -0.05 25099.11073 -2.938496661 -2.499685726 2 4 5 6 0.737311 -0.303338 -0.318472 0.092876 0.203087 -0.201366 1.002943 1.012356 0.932789 1.044985 1.202006 1.136063 75.865950 75.874350 1.033537 88.939203 88.943791 0.564453 104.120621 104.117924 -0.331795 146.810830 146.817842 0.862679 65.705676 65.710489 0.592229 130.544237 130.547195 0.363958 156.808616 156.818728 1.244221 169.334166 169.318337 -1.947588 75.865950 88.939203 104.120621 146.810830 177.131075 205.445216 248.598131 248.691294 65.705676 130.544237 156.808616 169.334166 148.200538 189.343198 211.210160 222.074336 5 27 44.53715022 -1.904589321 10.18212025 0.25 1 -0.3024700348 0 8200.616348 -3.257322594 -3.700350555 2 4 5 6 0.770672 -0.325194 -0.266469 0.072148 0.234366 -0.238688 1.010661 0.852574 0.760633 0.878309 0.896137 0.950009 77.873626 77.882339 1.093968 95.354158 95.355263 0.138717 109.196387 109.196144 -0.030453 144.594783 144.601098 0.792929 64.945227 64.947217 0.249860 128.631972 128.633112 0.143201 160.313194 160.316204 0.377937 173.053846 173.038991 -1.865110 77.873626 95.354158 109.196387 144.594783 179.548977 207.241403 250.137216 251.061128 64.945227 128.631972 160.313194 173.053846 152.475306 193.336819 213.510793 225.101017 5 25 364.3499999 -0.6054986657 -3.107350198 0.25 1 -0.613045371 0.05 3189.652155 -6.688216454 -10.53688932 2 4 5 6 0.660853 -0.329600 -0.227300 -0.317376 0.519599 -0.582463 0.947933 -0.512691 -0.548194 -0.772245 -1.503333 -1.362274 -2.164968 -2.165080 0.003695 -20.490227 -20.491822 0.052419 -22.213275 -22.214551 0.041921 -30.086277 -30.086471 0.006401 -17.860594 -17.860364 -0.007556 -35.028541 -35.026907 -0.053683 -35.685371 -35.685769 0.013068 -37.664291 -37.661952 -0.076854 -2.164968 -20.490227 -22.213275 -30.086277 -42.638905 -50.608184 -57.857315 -62.795169 -17.860594 -35.685371 -35.028541 -37.664291 -31.770487 -41.358009 -45.880232 -50.038467 5 28 616.6305741 -0.6560414659 -5.634645397 0.25 1 -0.6053026428 0.1 1030.815886 -5.480325496 -4.847462577 2 4 5 6 0.680778 -0.287836 -0.319594 -0.162768 0.372417 -0.393935 0.948382 -0.469043 0.484693 -0.561408 0.433546 -0.796575 -4.708193 -4.709128 0.057405 -38.886526 -38.886070 -0.028014 -40.390272 -40.395495 0.320561 -55.161469 -55.162631 0.071366 -32.480320 -32.477877 -0.149926 -63.929489 -63.924411 -0.311612 -64.873726 -64.873264 -0.028363 -69.634311 -69.631578 -0.167752 -4.708193 -38.886526 -40.390272 -55.161469 -78.404395 -92.670897 -105.177056 -114.961644 -32.480320 -64.873726 -63.929489 -69.634311 -58.695778 -75.296565 -85.046922 -92.322911 5 28 581.9692231 -0.750592352 -5.367825767 0.25 1 -0.5912057154 0.15 960.1292144 -5.800098769 -6.014200888 2 4 5 6 0.704370 -0.242935 -0.423192 -0.201743 0.426645 -0.460730 0.951791 -0.584485 0.289982 -0.702203 0.076846 -0.999579 -7.387100 -7.389148 0.123891 -38.838145 -38.843085 0.298788 -39.647795 -39.646777 -0.061568 -55.218128 -55.220632 0.151458 -31.203334 -31.199327 -0.242400 -62.423416 -62.422050 -0.082620 -62.488835 -62.482685 -0.372016 -68.524918 -68.522671 -0.135931 -7.387100 -39.647795 -38.838145 -55.218128 -76.630953 -90.105940 -101.866775 -111.571565 -31.203334 -62.423416 -62.488835 -68.524918 -58.078922 -73.325899 -84.965361 -90.462195