******* Eigenvalues for the 2+1 transverse lattice ******* Couplings: m^2, G^2 N, la_1/a, la_2/a, la_3/a, tau 0 1 2 3 4 5 Use chi^2 fit with 12 criteria, and tolerance 0.001. Overall scale determined by best chi^2 fit. 2 parity doublets with fractional errors 2 0.5. Spectrum for P_perp a = ( 0) ( 0.25) using (# states, o, multiplet, c^2 error for each) = (4, 1 & -1, 1 & 2, 0.5 2 0.5 0.5) (4, 1 & -1, 2 & 1, 0.5 0.5 0.5 0.5). Spectra extrapolated using (K,p) = (18/2,6) (18/2,8) (20/2,6) (20/2,8) (24/2,6) (32/2,6) . Winding potential using (n,K,p) = ( 2,20/2,4) ( 2,20/2,6) ( 2,24/2,4) ( 2,28/2,4) ( 3,21/2,5) ( 3,21/2,7) ( 3,23/2,5) ( 3,27/2,5) ( 4,20/2,6) ( 4,20/2,8) ( 4,22/2,6) ( 4,26/2,6) . Heavy potential determined using (n,K,p,K_max) = ( 0,-32/2,2,4) ( 0,-32/2,4,4) ( 0,-32/2,2,5) ( 0,-34/2,2,4) ( 0,-44/2,2,5) ( 0,-60/2,2,4) , L = 3 4 6 (all in G^2 N units); with relative error 0.25. Roundness determined using (n,K,p,K_max) = ( 1,-19/2,3,4) ( 1,-19/2,5,4) ( 1,-19/2,3,5) ( 1,-33/2,3,4) ( 1,-33/2,3,5) ( 1,-49/2,3,4) , L=3 and error 0.3 (all in G^2 N units). p-extrapolation using (n,K,p) = ( 1,19/2,3) ( 1,25/2,3) ( 1,39/2,3) ( 1,19/2,5) ( 1,25/2,5) ( 1,23/2,7) . Result format: fit info, # steps, chi^2, p damping, and scale g^2 N/(a sigma); the 6 couplings (G^2 N units) and which--if any--were fit; winding and longitudinal string tension fits; n=1 L=3 eigenvalue and derived value (G^2 N units); the rescaled spectrum for each P_perp*a and c^2 values. -64 1 181362.780591 -0.250000 -0.387264 0.032492 1.000000 -0.300000 -0.500000 10.000000 -0.300000 5 -0.169319 -14.335718 14.873381 -0.058416 0.676406 -0.751099 0.445382 0.250687 8.245243 8.232859 -0.012993 6.075002 6.040719 -0.035968 4.665907 4.706985 0.043097 4.901293 4.879139 -0.023242 5.206578 5.196249 -0.010836 1.880935 1.864429 -0.017317 2.854760 2.850755 -0.004202 2.776710 2.769427 -0.007641 1 3 133770.566951 -0.250000 -1.521509 0.032492 1.000000 -0.300000 -0.450000 10.000000 0.000000 5 -0.115412 -12.122685 12.654914 -0.260201 3.123499 -4.995467 0.792147 0.664135 27.820979 27.778092 -0.120497 17.622185 17.499987 -0.343326 17.211033 17.334111 0.345800 15.040727 14.998423 -0.118857 15.713985 15.676458 -0.105436 3.177980 3.121692 -0.158147 7.249739 7.242806 -0.019479 7.403861 7.374849 -0.081510 -64 1 95845.296158 -0.250000 -0.380158 0.032492 1.000000 -0.300000 -0.400000 10.000000 -0.300000 5 -0.062279 -10.050369 10.630066 -0.077173 1.671314 -2.717073 0.655666 0.533766 5.883423 5.874185 -0.003500 3.076948 3.083637 0.002534 3.978427 3.972690 -0.002173 2.779402 2.771982 -0.002811 2.804627 2.795807 -0.003341 0.106269 0.095973 -0.003900 0.916477 0.915302 -0.000445 1.000385 0.993370 -0.002657 -64 1 66559.712300 -0.250000 -0.512902 0.032492 1.000000 -0.300000 -0.350000 10.000000 -0.300000 5 -0.010189 -8.138495 8.814851 0.010023 1.315732 -2.282676 0.724846 0.584790 6.614172 6.603786 -0.000868 3.342416 3.353565 0.000932 4.231091 4.222417 -0.000725 2.546575 2.538846 -0.000646 2.359902 2.348204 -0.000978 -0.368799 -0.377315 -0.000712 0.173536 0.171553 -0.000166 0.246347 0.239229 -0.000595 1 3 44839.705798 -0.250000 8.650614 0.032492 1.000000 -0.300000 -0.300000 10.000000 -0.300000 5 0.040722 -6.415082 7.228666 0.155390 0.395180 -0.751011 0.777342 0.718154 -91.579214 -91.441358 0.776992 -44.796827 -44.958672 -0.912205 -54.785471 -54.663414 0.687943 -24.920669 -24.816266 0.588448 -17.581482 -17.377016 1.152430 10.418021 10.477893 0.337455 12.419377 12.464288 0.253132 12.498079 12.535775 0.212463 1 3 29645.751721 -0.250000 5.160653 0.032492 1.000000 -0.300000 -0.250000 10.000000 -0.300000 5 0.090467 -4.915035 5.882757 0.234069 -0.117199 0.123175 0.817257 0.709899 -44.414934 -44.356475 0.436686 -20.723237 -20.794115 -0.529454 -24.467768 -24.399805 0.507681 -5.626134 -5.571276 0.409787 1.051013 1.174859 0.925122 7.629904 7.627164 -0.020465 15.032627 15.077064 0.331939 15.475895 15.430431 -0.339611 1 3 19748.512893 -0.250000 2.837101 0.032492 1.000000 -0.300000 -0.200000 10.000000 -0.600000 5 0.139068 -3.672264 4.760492 0.240986 -0.295474 0.121339 0.643005 0.509271 -19.922530 -19.903506 0.120097 -8.379851 -8.402788 -0.144796 -9.907724 -9.699136 1.316773 1.086649 1.064267 -0.141293 5.284856 5.342483 0.363788 5.335355 5.327996 -0.046455 11.683637 11.680043 -0.022684 11.669708 11.653988 -0.099234 1 3 77037.614346 -0.250000 3.952001 0.032492 1.000000 -0.300000 -0.150000 10.000000 -0.600000 5 0.186212 -2.705219 3.814884 0.236418 -0.232798 0.053084 0.676333 0.598426 -23.241294 -23.229789 0.135458 -7.633111 -7.646342 -0.155786 -5.997778 -5.933318 0.758994 6.045691 6.042614 -0.036238 11.207790 11.260731 0.623348 10.178719 10.177346 -0.016176 19.168835 19.132343 -0.429686 20.026694 20.028607 0.022525 1 3 10713.728716 -0.250000 1.750082 0.032492 1.000000 -0.300000 -0.100000 10.000000 -0.600000 5 0.231013 -2.004890 3.012060 0.233868 -0.195494 0.020713 0.701754 0.539817 -9.042672 -9.041324 0.008723 -1.652965 -1.654174 -0.007823 -0.101711 -0.099560 0.013917 4.131152 4.074556 -0.366102 5.847218 5.860792 0.087806 5.927836 5.930529 0.017419 9.264511 9.246782 -0.114685 10.166534 10.170556 0.026015 1 3 9245.388027 -0.250000 3.225027 0.032492 1.000000 -0.300000 -0.050000 10.000000 -0.600000 5 0.272146 -1.533390 2.360985 0.232528 -0.172759 0.006120 0.720460 0.628812 -15.481474 -15.481237 0.003330 -0.147633 -0.147377 0.003608 1.980102 1.970171 -0.139456 8.320401 8.320228 -0.002428 11.639094 11.652279 0.185159 13.275344 13.282468 0.100039 17.852423 17.822840 -0.415427 20.540782 20.551699 0.153306 1 3 8826.834029 -0.250000 3.425802 0.032492 1.000000 -0.300000 0.000000 10.000000 -0.300000 5 0.308287 -1.233243 1.869091 0.237951 -0.100505 0.116682 0.904181 0.777593 -16.069016 -16.069094 -0.001317 2.407721 2.407834 0.001893 2.719159 2.706365 -0.216197 8.672836 8.689454 0.280817 12.860034 12.865580 0.093714 15.952892 15.959995 0.120032 19.382819 19.357357 -0.430245 23.205024 23.219601 0.246325 1 3 9139.032518 -0.250000 3.532005 0.032492 1.000000 -0.300000 0.050000 10.000000 -0.300000 5 0.338600 -1.044960 1.507348 0.237956 -0.098037 0.114335 0.906766 0.798729 -16.858855 -16.859187 -0.006354 4.398988 4.400401 0.027038 2.469478 2.455541 -0.266691 9.054629 9.070991 0.313087 13.512565 13.511829 -0.014078 17.302477 17.305312 0.054236 20.441378 20.425140 -0.310717 24.878446 24.897107 0.357085 1 3 114694.398784 -0.250000 -1.225738 0.032492 1.000000 -0.250000 -0.500000 10.000000 0.000000 5 -0.126249 -11.330636 12.041239 -0.202130 2.891476 -4.808139 0.827685 0.671637 20.752592 20.712657 -0.098877 13.897650 13.747216 -0.372471 10.382552 10.523810 0.349750 10.525408 10.470144 -0.136833 11.073778 11.038901 -0.086355 1.606438 1.563432 -0.106480 4.424255 4.417389 -0.017001 4.458273 4.429933 -0.070169 -64 3 78701.345455 -0.250000 -0.945600 0.032492 1.000000 -0.250000 -0.450000 10.000000 -0.300000 5 -0.073244 -9.240270 10.007079 -0.034451 1.568783 -2.675114 0.700980 0.570841 13.260460 13.233103 -0.030315 6.558889 6.459928 -0.109664 7.785047 7.873176 0.097661 5.611229 5.584584 -0.029527 5.694157 5.667831 -0.029173 -0.166886 -0.189323 -0.024864 1.129828 1.123816 -0.006662 1.323352 1.305909 -0.019329 4 4 51256.185144 -0.250000 3.198216 0.032492 1.000000 -0.250000 -0.400000 10.000000 -0.000000 5 -0.021331 -7.316328 8.178421 0.182546 0.309949 -0.505766 0.935000 0.680237 -36.192576 -36.111938 -0.088021 -13.417868 -13.454582 0.040075 -22.048970 -21.996092 -0.057720 -11.212108 -11.132737 -0.086638 -10.243824 -10.153066 -0.099067 3.155986 3.197199 -0.044987 2.992035 3.016474 -0.026676 2.474462 2.521607 -0.051461 1 3 31280.995876 -0.250000 6.167150 0.032492 1.000000 -0.250000 -0.350000 10.000000 -0.371761 5 0.029562 -5.594180 6.570929 0.233315 -0.148092 0.118764 0.766745 0.631612 -54.522907 -54.391103 0.384478 -16.571864 -16.672085 -0.292350 -30.328384 -30.223052 0.307259 -8.269089 -8.078042 0.557292 -4.180836 -4.001394 0.523440 8.997359 9.021383 0.070080 17.016018 17.064875 0.142517 17.551794 17.616752 0.189485 1 3 17627.571584 -0.250000 3.433122 0.032492 1.000000 -0.250000 -0.300000 10.000000 -0.600000 5 0.079737 -4.117038 5.183032 0.240324 -0.287715 0.112478 0.648219 0.505643 -22.778313 -22.718779 0.260756 -5.109460 -5.164870 -0.242692 -10.584443 -10.209906 1.640454 1.867395 1.944217 0.336474 4.522349 4.612603 0.395306 6.733583 6.733274 -0.001353 14.673434 14.699352 0.113519 16.033647 16.039861 0.027218 1 3 9029.521544 -0.250000 3.004779 0.032492 1.000000 -0.250000 -0.250000 10.000000 -0.600000 5 0.129462 -2.924503 3.984121 0.235515 -0.221033 0.045226 0.690438 0.544175 -14.254985 -14.215695 0.244545 -1.617711 -1.657221 -0.245911 0.672487 0.794246 0.757833 6.227387 6.132588 -0.590040 7.742634 7.798992 0.350777 8.319214 8.324368 0.032082 16.527618 16.551046 0.145819 18.124817 18.096416 -0.176768 1 5 4172.786185 -0.250000 2.462982 0.032492 1.000000 -0.250000 -0.200000 10.000000 -0.600000 5 0.178513 -2.035497 2.951112 0.233612 -0.185531 0.027085 0.727043 0.564800 -7.926070 -7.904753 0.149967 0.591503 0.569916 -0.151862 5.696423 5.728238 0.223813 8.073501 8.006549 -0.471000 8.015635 8.044648 0.204099 9.294113 9.303540 0.066314 15.942482 15.976418 0.238736 16.967149 16.915764 -0.361487 1 5 1782.284256 -0.250000 4.739308 0.032492 1.000000 -0.250000 -0.150000 10.000000 -0.935864 5 0.225841 -1.434309 2.119419 0.227650 -0.332574 -0.167289 0.494722 0.476828 -9.944601 -9.923097 0.368264 4.398071 4.377257 -0.356447 16.659903 16.683951 0.411825 17.174313 17.184285 0.170768 17.178268 17.212773 0.590907 22.489493 22.509536 0.343242 35.047827 35.018560 -0.501206 34.265319 34.258484 -0.117046 1 5 793.959480 -0.250000 4.062880 0.032492 1.000000 -0.250000 -0.100000 10.000000 -0.600000 5 0.269702 -1.067258 1.530767 0.232951 -0.159613 0.029591 0.771174 0.702847 -5.638929 -5.632366 0.115066 6.403895 6.398456 -0.095353 16.684965 16.692559 0.133133 15.946937 15.955738 0.154306 15.607886 15.625892 0.315682 22.650309 22.665260 0.262120 31.192286 31.156827 -0.621672 31.721721 31.732766 0.193642 1 5 130.570929 -0.422869 3.915619 0.032492 1.000000 -0.250000 -0.050000 10.000000 -0.719828 5 0.311609 -0.765350 0.957595 0.232908 -0.188457 0.021454 0.720699 0.681837 -2.021510 -2.019961 0.030231 9.520108 9.519481 -0.012256 17.920637 17.925967 0.104050 18.466475 18.469603 0.061056 15.574894 15.584453 0.186618 25.276706 25.287125 0.203400 31.028880 31.000409 -0.555818 32.957322 32.972856 0.303259 1 7 45.704524 -0.571053 3.855810 0.032492 1.000000 -0.250000 0.000000 10.000000 -0.686868 5 0.343510 -0.662288 0.747361 0.234327 -0.173081 0.051655 0.756338 0.720788 -0.916685 -0.916590 0.002017 11.325185 11.325471 0.006052 18.127786 18.133149 0.113664 19.269461 19.271534 0.043944 15.640417 15.644254 0.081313 26.911751 26.918841 0.150253 30.698412 30.674689 -0.502749 33.743291 33.772921 0.627920 1 9 44.390075 -0.668774 2.699945 0.032492 1.000000 -0.250000 0.050000 10.000000 -0.805042 5 0.369221 -0.617400 0.643085 0.233435 -0.207162 0.027611 0.693970 0.599093 -0.609119 -0.608913 0.003282 8.867618 8.867761 0.002278 12.730490 12.734146 0.058309 13.611651 13.611549 -0.001627 11.063253 11.062760 -0.007862 19.754077 19.756972 0.046170 21.311362 21.297616 -0.219246 24.154115 24.231601 1.235905 1 5 67891.339991 -0.250000 1.500950 0.032492 1.000000 -0.200000 -0.500000 10.000000 -0.685256 5 -0.082619 -8.670539 9.597082 0.129179 0.136289 -0.914946 0.408655 0.211611 -19.549172 -19.499621 -0.098315 -11.062991 -10.837737 -0.446928 -8.451646 -8.641827 0.377340 -7.475961 -7.411797 -0.127308 -7.638681 -7.590784 -0.095035 0.575600 0.606992 -0.062285 -0.626648 -0.615063 -0.022987 -0.656536 -0.627067 -0.058470 1 3 42157.755216 -0.250000 2.845083 0.032492 1.000000 -0.200000 -0.450000 10.000000 0.000000 5 -0.030695 -6.747797 7.756273 0.215293 0.086216 -0.127379 0.948644 0.680059 -29.197784 -29.114102 -0.116926 -8.948989 -8.715555 -0.326167 -15.816915 -15.996781 0.251318 -7.128938 -6.997840 -0.183177 -6.494090 -6.400578 -0.130659 3.148044 3.177116 -0.040621 4.953098 4.980000 -0.037589 4.953405 4.993695 -0.056296 1 3 23859.565313 -0.250000 4.422984 0.032492 1.000000 -0.200000 -0.400000 10.000000 -0.600000 5 0.020347 -5.038883 6.121052 0.243118 -0.320697 0.150372 0.627870 0.473661 -34.146565 -34.032821 0.163778 -4.652943 -4.644898 0.011583 -17.517855 -17.480174 0.054256 -1.311846 -0.438385 1.257685 0.562617 0.705343 0.205510 7.285364 7.298418 0.018797 15.872102 15.914247 0.060685 17.107631 17.150832 0.062205 1 3 11828.853367 -0.250000 3.630987 0.032492 1.000000 -0.200000 -0.350000 10.000000 -0.600000 5 0.071009 -3.592673 4.677772 0.236197 -0.230214 0.050444 0.679093 0.530323 -19.719432 -19.639967 0.327815 1.183751 1.146726 -0.152740 -3.059292 -2.769016 1.197475 5.950507 5.842509 -0.445525 6.763662 6.858485 0.391172 8.660734 8.669784 0.037335 18.596188 18.626554 0.125267 21.267885 21.278871 0.045320 1 5 4735.595959 -0.250000 2.031019 0.032492 1.000000 -0.200000 -0.300000 10.000000 -0.600000 5 0.121718 -2.452062 3.401280 0.233623 -0.186474 0.025775 0.723651 0.542040 -6.964311 -6.927930 0.143898 2.678919 2.653482 -0.100614 4.253449 4.309739 0.222648 6.346301 6.198093 -0.586221 5.827856 5.863228 0.139910 6.965916 6.977010 0.043879 12.918551 12.933092 0.057515 15.075699 15.058053 -0.069794 1 5 1237.787993 -0.250000 4.189423 0.032492 1.000000 -0.200000 -0.250000 10.000000 -0.862362 5 0.172253 -1.634638 2.319280 0.228276 -0.283940 -0.121518 0.560541 0.472553 -7.308138 -7.250144 0.669622 8.493126 8.446009 -0.544031 15.873223 15.927592 0.627757 15.396322 15.416714 0.235446 14.312434 14.359105 0.538877 19.079874 19.108135 0.326309 30.764106 30.793718 0.341909 34.928310 34.861746 -0.768560 1 5 47.151497 -0.296744 3.581885 0.032492 1.000000 -0.200000 -0.200000 10.000000 -0.600000 5 0.224260 -1.046451 1.383342 0.233906 -0.159845 0.048648 0.784749 0.660389 -0.868373 -0.833897 0.443097 9.458681 9.429283 -0.377830 16.667104 16.685338 0.234354 17.686251 17.719071 0.421812 13.387334 13.413205 0.332511 20.324256 20.345956 0.278886 29.310076 29.343796 0.433376 31.740955 31.674663 -0.852003 1 17 27.961523 -0.592693 2.718239 0.032492 1.000000 -0.200000 -0.150000 10.000000 -4.963049 5 0.273746 -0.692018 0.739644 0.321175 -5.172619 0.081293 -3.878495 -4.081818 2.694159 2.709689 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