********** 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 29 16430467.19 -0.25 -0.4077934502 0.04 1 -0.6 -0.1142928815 9.903882531 -0.9743707185 -1.163489327 3 4 5 6 0.122745 -21.012492 19.561976 0.094539 -1.745075 1.607799 -0.868499 9.521999 -0.735253 -0.866270 -0.483834 -0.950758 16.524200 16.524287 -0.000070 13.837353 13.837406 -0.000043 12.430278 12.836223 -0.325109 11.270372 11.270514 -0.000113 11.376301 11.376169 0.000106 10.817957 9.586791 0.986006 9.586938 8.946283 0.513083 8.945107 8.828676 0.093247 16.524200 13.837353 11.270372 10.379192 8.552656 10.817957 8.355228 7.374395 11.376301 9.586938 8.945107 6.929133 10.043655 12.430278 9.449583 7.215543 5 28 6393883.038 -0.25 -0.6535739388 0.04 1 -0.5 -0.0891929837 -0.9005279395 -0.9378668743 -1.191775225 3 4 5 6 0.171811 -11.506438 10.879187 0.123135 -0.683719 1.276948 0.204127 4.063238 0.283433 0.133727 0.569840 0.187873 16.524200 16.524804 -0.001085 12.248696 12.244537 0.007473 12.091322 8.490295 6.469832 8.491809 7.993285 0.895680 8.492043 8.491262 0.001405 7.449067 6.781036 1.200226 6.770350 5.641810 2.027606 6.169016 4.752647 2.544737 16.524200 12.248696 7.985728 7.094805 5.657721 7.449067 6.169016 2.697677 8.492043 6.770350 3.746935 2.750533 8.491809 12.091322 4.615606 3.785731 5 29 1792533.943 -0.25 -1.236050521 0.04 1 -0.4 -0.1162524213 1.691846256 -0.9732917658 -1.179548744 3 4 5 6 0.176331 -5.356492 6.057635 0.135333 -0.109721 0.393824 0.576420 0.719277 0.605607 0.390066 0.866431 0.648923 16.524200 16.524567 -0.001280 10.867591 8.822473 7.131871 8.822104 6.860483 6.840694 6.858411 4.170930 9.371958 1.869221 1.445948 1.476065 1.463242 1.110530 1.229999 1.097367 -0.609092 5.950876 0.091761 -0.667514 2.647795 16.524200 8.822104 6.858411 3.421425 -0.608699 1.869221 0.091761 -8.626441 1.463242 -0.668778 1.097367 -2.334661 4.720769 10.867591 0.528517 -6.009758 5 28 123265.3162 -0.25 -4.796075652 0.04 1 -0.3 0.04245561783 244.034081 -2.405016816 -3.149824412 3 4 5 6 0.352663 -0.848453 1.107367 0.012923 0.118809 -0.003832 0.709158 0.154271 0.375831 0.166773 0.361468 0.192507 16.524200 16.524449 -0.006748 -9.483513 -9.484159 0.017482 -11.932493 -12.776262 22.834377 -12.454208 -13.696588 33.621745 -19.195540 -19.195664 0.003370 -28.021829 -28.027663 0.157875 -31.697147 -31.672986 -0.653862 -37.567533 -37.622250 1.480767 16.524200 -9.483513 -11.932493 -12.789187 -37.567533 -42.310465 -46.017050 -59.761923 -19.195540 -28.021829 -31.697147 -43.536072 -21.973395 -12.454208 -41.218747 -46.699248 5 27 11.31389915 -0.8751898375 7.692328041 0.04 1 -0.2 -0.11530574 3598.750946 -1.266607318 -1.300919284 3 4 5 6 0.323695 -0.529536 0.395481 0.131402 0.181303 -0.150695 0.754013 0.721949 0.776526 0.813697 1.053106 1.031766 16.524200 16.549415 1.004570 30.313825 30.292781 -0.838399 43.796651 43.813265 0.661924 56.068638 56.071707 0.122257 32.163988 32.187246 0.926592 59.271503 59.298939 1.093055 74.682754 74.654952 -1.107619 75.007551 74.994343 -0.526211 16.524200 30.313825 43.796651 57.999138 75.007551 93.908656 113.291752 120.391695 32.163988 59.271503 74.682754 76.732887 56.068638 74.648699 93.235038 95.936960 5 29 77.33960345 -1.740557201 3.919426953 0.04 1 -0.1 -0.1243328603 11.55419182 -0.9147696679 -1.198856959 3 4 5 6 0.362641 -0.441628 0.164967 0.169099 0.150429 -0.150450 0.775365 0.485804 0.821634 0.688056 1.120835 1.058180 16.524200 16.543989 0.450039 21.838278 21.820431 -0.405875 21.928628 21.938030 0.213812 34.796398 34.797700 0.029614 16.952739 16.961651 0.202659 35.366699 35.379763 0.297097 39.621720 39.623778 0.046789 43.117657 43.121352 0.084016 16.524200 21.838278 21.928628 39.296614 43.117657 52.988395 67.148048 68.070398 16.952739 35.366699 39.621720 44.661787 34.796398 50.649673 53.272940 54.713627 5 28 60.03916606 -2.362904023 3.971974175 0.04 1 0 -0.160658581 4.306059155 -0.8397925747 -1.222272465 3 4 5 6 0.366600 -0.441810 0.140362 0.178904 0.133840 -0.137728 0.779423 0.506822 0.823065 0.714747 1.121925 1.101630 16.524200 16.547373 0.539884 21.708191 21.721300 0.305433 26.158873 26.140412 -0.430105 33.786160 33.804946 0.437685 17.084820 17.094035 0.214691 37.477899 37.492808 0.347338 40.369665 40.372809 0.073249 45.598030 45.602792 0.110953 16.524200 21.708191 26.158873 33.786160 45.598030 55.656983 70.064400 72.826013 17.084820 37.477899 40.369665 48.148556 38.167625 55.250186 57.418009 61.236348 5 28 69.26727761 -2.592109115 3.805378611 0.04 1 0.1 -0.1923747589 4.601575921 -0.841050672 -1.214560302 3 4 5 6 0.359510 -0.457226 0.166854 0.182087 0.124991 -0.128331 0.774060 0.484211 0.818223 0.703382 1.117048 1.102393 16.524200 16.546087 0.479081 21.951053 21.966320 0.334176 27.452964 27.434886 -0.395716 33.186398 33.206225 0.434001 16.011354 16.020353 0.196992 36.186888 36.202139 0.333826 38.549100 38.552254 0.069025 44.214532 44.218862 0.094783 16.524200 21.951053 27.452964 33.186398 44.214532 53.769586 67.742161 70.628101 16.011354 36.186888 38.549100 47.309742 37.901607 54.340776 55.986852 61.833961 -3 6 146.6684051 -2.11371944 2.926449054 0.04 1 0.2 -0.116761 50 -0.97786 -1.16519 3 4 5 6 0.376631 -0.456690 0.201605 0.178062 0.126577 -0.128046 0.768796 0.375075 0.821180 0.633096 1.125939 1.048477 16.524200 16.533488 0.163788 18.921959 18.926780 0.085024 22.044205 22.037742 -0.113972 30.350682 30.351160 0.008432 12.162254 12.166349 0.072213 28.520223 28.528826 0.151714 29.958269 29.956840 -0.025188 34.654956 34.657022 0.036421 16.524200 18.921959 22.044205 33.435489 34.654956 41.880680 52.816191 54.949921 12.162254 28.520223 29.958269 36.998612 30.350682 43.027052 43.749508 48.952099 -3 6 144.7869112 -1.735045092 2.981144049 0.04 1 0.3 -0.116761 50 -0.97786 -1.16519 3 4 5 6 0.357865 -0.473090 0.254884 0.181272 0.116035 -0.115404 0.752647 0.374600 0.801673 0.635123 1.101623 1.056583 16.524200 16.533016 0.150485 19.325038 19.329447 0.075259 22.952318 22.946924 -0.092072 30.784201 30.784657 0.007787 11.880109 11.884000 0.066411 28.515562 28.524729 0.156475 29.964329 29.961639 -0.045913 34.686440 34.688483 0.034872 16.524200 19.325038 22.952318 33.950323 34.686440 41.839100 53.145189 55.156712 11.880109 28.515562 29.964329 37.407875 30.784201 43.898303 43.902610 49.463007 -3 6 141.2051237 -1.482197156 3.065371222 0.04 1 0.4 -0.116761 50 -0.97786 -1.16519 3 4 5 6 0.333223 -0.502668 0.340553 0.184088 0.105683 -0.102342 0.731825 0.373590 0.776483 0.636106 1.070174 1.062769 16.524200 16.533001 0.143839 19.536427 19.540411 0.065108 23.689121 23.684492 -0.075656 31.094131 31.094593 0.007562 11.578194 11.581985 0.061965 28.530563 28.540609 0.164184 29.977730 29.973623 -0.067116 34.651937 34.653987 0.033511 16.524200 19.536427 23.689121 34.654718 34.651937 41.760192 53.562023 55.444579 11.578194 28.530563 29.977730 37.773937 31.094131 44.443340 44.395965 49.943331 5 28 9320991.871 -0.25 -0.5413412807 0.0625 1 -0.6 -0.1078192777 -0.3484374398 -0.9521417165 -1.295891365 3 4 5 6 0.176207 -13.982465 12.790641 0.122383 -0.898777 1.515240 0.031714 5.797078 0.140249 0.012049 0.456361 0.016503 16.524200 16.524637 -0.000666 11.716833 11.720092 -0.004974 11.537258 10.195394 2.047967 10.196012 7.730907 3.762271 9.229892 9.229684 0.000317 8.047336 7.414824 0.965347 7.408648 6.241557 1.781228 6.241860 5.289193 1.453972 16.524200 11.716833 10.196012 5.710827 6.241860 8.047336 6.191916 6.071148 9.229892 7.408648 5.296312 3.236042 8.705021 11.537258 7.170596 5.173401 5 28 3275062.578 -0.25 -0.9131434127 0.0625 1 -0.5 -0.1073754241 0.760786388 -0.9700368382 -1.269370403 3 4 5 6 0.201281 -7.002424 7.176380 0.142611 -0.216505 0.577889 0.524545 1.252520 0.557434 0.372891 0.826060 0.614132 16.524200 16.524895 -0.002045 10.162136 9.069915 3.211973 9.070238 7.662652 4.139389 7.659899 5.997970 4.887354 3.856933 3.849319 0.022392 3.697074 2.382670 3.865364 3.373565 1.716836 4.872065 2.389716 1.527635 2.535184 16.524200 9.070238 7.659899 5.421135 1.717675 3.373565 3.697074 -2.501814 3.856933 1.515500 2.389716 0.391449 6.001791 10.162136 1.142104 0.350827 5 28 535695.7342 -0.25 -2.659945902 0.0625 1 -0.4 -0.1119807977 -3.066822562 -1.000986975 -1.300119126 3 4 5 6 0.249026 -2.688157 3.780767 0.154372 0.023379 0.115550 0.691734 0.315341 0.715256 0.501158 0.988393 0.844312 19.389276 19.382304 0.073892 16.524200 16.514931 0.098234 6.506096 6.507581 -0.015736 6.394657 4.033075 25.028818 -6.475281 -6.476451 0.012407 -7.765380 -8.387530 6.593753 -8.363537 -10.159160 19.030595 -10.182500 -13.175420 31.719941 16.524200 19.389276 6.506096 4.033961 -13.170136 -14.197193 -7.765380 -31.655609 -8.363537 -6.475281 -10.182500 -18.487483 -2.942899 6.394657 -13.444610 -19.345031 5 28 50194.02263 -0.25 -13.17266784 0.0625 1 -0.3 -0.1576195314 9.846215792 -2.937476654 -5.0311637 3 4 5 6 0.289892 -1.116986 1.520098 -0.033631 0.174332 -0.084618 0.759122 -0.076123 0.086981 -0.089829 -0.207063 -0.127259 16.524200 16.475113 2.999130 -25.792195 -25.748353 -2.678731 -52.432227 -58.484357 369.775532 -62.048610 -62.099348 3.100007 -54.255036 -54.320296 3.987317 -80.250233 -80.313463 3.863253 -112.183043 -112.211848 1.759970 -112.350252 -112.240910 -6.680613 16.524200 -25.792195 -52.432227 -62.062528 -112.183043 -145.160308 -118.569946 -197.969937 -54.255036 -80.250233 -112.350252 -125.648862 -73.172321 -62.048610 -135.303604 -141.683415 5 29 12.9314213 -1.080745575 5.479294116 0.0625 1 -0.2 -0.1543589427 5.936100587 -0.8574478199 -1.19306886 3 4 5 6 0.368860 -0.473193 0.213843 0.181017 0.123897 -0.121870 0.796898 0.689661 0.853841 0.848051 1.166097 1.190826 16.524200 16.554962 0.994754 27.839720 27.812895 -0.867448 28.331760 28.347398 0.505701 46.504280 46.506997 0.087839 24.623008 24.638627 0.505075 48.166343 48.187926 0.697949 56.353805 56.354953 0.037107 59.813129 59.821124 0.258561 16.524200 27.839720 28.331760 46.683462 59.813129 73.682352 86.932285 98.761968 24.623008 48.166343 56.353805 60.798320 46.504280 66.112665 71.953514 77.206383 5 28 46.59174731 -1.757755417 4.043124662 0.0625 1 -0.1 -0.1652685642 4.421660942 -0.8268791285 -1.315809494 3 4 5 6 0.402679 -0.429753 0.087978 0.187229 0.116132 -0.119896 0.812910 0.549764 0.853266 0.753365 1.157043 1.146995 16.524200 16.549029 0.646790 22.342577 22.355018 0.324068 26.304099 26.284513 -0.510192 34.867063 34.885224 0.473086 18.610743 18.620103 0.243809 39.811795 39.826866 0.392573 42.524541 42.527686 0.081942 48.321741 48.325911 0.108623 16.524200 22.342577 26.304099 34.867063 48.321741 58.696883 73.536381 75.445277 18.610743 39.811795 42.524541 50.059169 39.668070 57.040564 59.703653 63.235787 5 28 67.62208013 -2.296645096 3.665722784 0.0625 1 0 -0.1935570147 4.814318899 -0.8125925921 -1.317520042 3 4 5 6 0.410125 -0.436061 0.082310 0.190984 0.108579 -0.113488 0.816436 0.508583 0.857772 0.730455 1.163500 1.142968 16.524200 16.545512 0.512660 22.462999 22.477877 0.357895 27.271471 27.252518 -0.455901 32.956899 32.974542 0.424380 16.825129 16.833389 0.198682 37.393189 37.406667 0.324215 38.970305 38.973975 0.088301 45.508692 45.511840 0.075722 16.524200 22.462999 27.271471 32.956899 45.508692 54.920056 68.572356 71.413213 16.825129 37.393189 38.970305 47.872411 38.500667 54.507825 56.809087 61.524043 5 28 81.65941598 -2.576108331 3.476058156 0.0625 1 0.1 -0.2259016312 5.443923963 -0.829185865 -1.306793215 3 4 5 6 0.403832 -0.450475 0.105696 0.192272 0.103856 -0.108097 0.811900 0.479642 0.854245 0.712892 1.160335 1.135083 16.524200 16.543580 0.435278 22.399850 22.416057 0.364019 27.920407 27.902723 -0.397188 32.454998 32.472454 0.392059 15.670143 15.678135 0.179502 35.515594 35.527929 0.277056 37.039946 37.044608 0.104705 43.640747 43.643054 0.051804 16.524200 22.399850 27.920407 32.454998 43.640747 52.463397 65.566408 68.130193 15.670143 35.515594 37.039946 46.474428 37.670877 52.916316 54.668484 60.386411 -3 6 156.0900663 -2.251545636 2.765206353 0.0625 1 0.2 -0.135494 50 -0.97786 -1.25431 3 4 5 6 0.427556 -0.444813 0.134998 0.187539 0.108490 -0.111772 0.809340 0.385763 0.860549 0.650882 1.173375 1.084590 16.524200 16.531616 0.140278 20.020973 20.026885 0.111834 23.165619 23.158846 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