********** 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 28 24.26563901 -0.4035191394 3.954148043 0.09 1 -0.2327346795 -0.35 2055.524517 0.02934609388 -1.17389382 2 4 5 6 0.282667 -0.863580 0.826771 0.227289 0.032543 -0.035653 0.808645 0.493409 0.876008 0.764052 1.200973 1.258781 3.903931 3.966256 1.114577 19.371465 19.324114 -0.846786 23.845219 23.858238 0.232826 28.204987 28.251084 0.824359 17.234593 17.261345 0.478424 29.147606 29.179236 0.565655 40.217712 40.223597 0.105243 40.328617 40.326949 -0.029836 3.903931 19.371465 23.845219 28.204987 40.217712 50.447852 58.432220 63.228492 17.234593 29.147606 40.328617 43.046149 29.588250 47.010187 43.966955 48.051992 5 28 21.81026268 -0.5084469919 4.184526627 0.09 1 -0.2503904925 -0.3 243.8145379 0.1346729664 -0.9833834711 2 4 5 6 0.313841 -0.717096 0.592334 0.227838 0.031368 -0.035149 0.813167 0.550481 0.912356 0.801950 1.261017 1.283186 6.365639 6.417695 1.093811 20.216986 20.174679 -0.888965 25.532905 25.543823 0.229406 32.510930 32.518315 0.155180 18.685159 18.708525 0.490974 32.691820 32.720432 0.601201 43.079671 43.078589 -0.022726 43.703516 43.707638 0.086607 6.365639 20.216986 25.532905 32.730021 43.703516 54.503533 62.833667 68.372777 18.685159 32.691820 43.079671 45.809745 32.510930 49.244290 48.360162 54.275886 5 28 12.35629126 -0.3949769214 4.737965574 0.09 1 -0.2927910853 -0.25 122.3377116 -0.3740631855 -1.028491585 2 4 5 6 0.319512 -0.822185 0.841471 0.214373 0.060809 -0.061613 0.807229 0.611928 0.898012 0.829385 1.239898 1.265890 3.717093 3.760791 1.058404 18.521533 18.483555 -0.919886 28.302423 28.314044 0.281484 32.616954 32.649569 0.789977 21.077376 21.101923 0.594559 35.436553 35.465494 0.701003 47.536134 47.564792 0.694140 48.213627 48.193670 -0.483364 3.717093 18.521533 28.302423 32.616954 47.536134 59.833752 62.828389 74.946105 21.077376 35.436553 48.213627 48.829683 34.264838 47.760072 50.313451 62.758527 5 27 9.732090708 -0.5506068316 5.521371548 0.09 1 -0.2976824322 -0.2 5532.408618 -0.8501881933 -1.202434026 2 4 5 6 0.356786 -0.645680 0.533847 0.188004 0.099166 -0.088483 0.812817 0.692375 0.876252 0.855832 1.198806 1.210487 8.302969 8.335584 1.028017 23.195838 23.167447 -0.894847 33.756397 33.767442 0.348109 42.567420 42.571606 0.131941 25.196253 25.217775 0.678362 44.729165 44.756691 0.867606 56.807825 56.795047 -0.402741 57.771413 57.803147 1.000244 8.302969 23.195838 33.756397 43.166989 57.771413 71.976126 78.447296 90.542593 25.196253 44.729165 56.807825 58.014538 42.567420 58.884000 62.943964 79.156021 5 28 11.55752344 -0.8413759822 6.388428195 0.09 1 -0.2806009401 -0.15 11.7088463 -1.190932117 -1.273922226 2 4 5 6 0.402446 -0.500491 0.255241 0.166091 0.128477 -0.113138 0.823542 0.773685 0.877580 0.895610 1.194965 1.179896 16.336577 16.360458 0.982389 31.420770 31.402153 -0.765857 37.466104 37.476450 0.425575 54.540677 54.542966 0.094170 30.114649 30.131427 0.690197 57.653836 57.678577 1.017759 67.154615 67.152040 -0.105930 70.581369 70.560732 -0.848931 16.336577 31.420770 37.466104 57.773420 71.458354 87.835160 101.191916 110.733437 30.114649 57.653836 67.154615 70.581369 54.540677 76.665855 79.794178 95.735655 5 28 17.07386773 -0.8615827767 8.022500985 0.09 1 -0.2955510219 -0.1 5.608466885 -1.547681791 -1.409423782 2 4 5 6 0.423082 -0.487554 0.250737 0.137952 0.153636 -0.126035 0.822473 0.849346 0.853967 0.930067 1.154635 1.133177 18.170195 18.185039 0.806157 39.201292 39.186548 -0.800705 41.003316 41.023996 1.123057 66.060350 66.080103 1.072697 38.044776 38.060092 0.831712 73.674890 73.699698 1.347246 84.136089 84.127461 -0.468563 87.069672 87.045274 -1.324990 18.170195 39.201292 41.003316 66.060350 89.963964 110.424108 125.407803 139.676091 38.044776 73.674890 84.136089 87.069672 68.459261 93.908147 101.150066 118.665331 5 28 82.512688 -0.7179348419 9.234775618 0.09 1 -0.3277355376 -0.05 9.725460911 -1.874907104 -1.668934877 2 4 5 6 0.431246 -0.516429 0.336140 0.108761 0.165806 -0.121529 0.813577 0.805339 0.799700 0.860698 1.064916 1.005189 12.775766 12.779196 0.218563 41.231088 41.230261 -0.052687 51.646087 51.659741 0.869985 71.732420 71.738828 0.408305 43.395136 43.407252 0.772024 82.230673 82.254257 1.502783 93.459808 93.424567 -2.245562 95.813094 95.801537 -0.736392 12.775766 41.231088 51.646087 71.732420 100.126857 123.345323 133.436365 155.346743 43.395136 82.230673 93.459808 95.813094 74.331534 96.929700 113.722658 129.823320 5 29 201.6289145 -0.5235757493 0.7409357215 0.09 1 -0.3605305393 0 370.842657 0.7491295895 -1.31422714 2 4 5 6 0.436154 -0.572910 0.470794 0.210201 0.061309 -0.064157 0.800614 0.033055 0.843538 0.571599 1.149451 1.104566 -0.037097 -0.037091 0.000030 2.936459 2.936493 0.000178 4.356237 4.357258 0.005278 4.471220 4.836594 1.889203 3.421668 3.422150 0.002493 6.210684 6.212204 0.007861 6.793863 6.790192 -0.018983 7.566216 7.565352 -0.004467 -0.037097 2.936459 4.356237 4.471220 7.631035 9.436977 9.444579 11.953813 3.421668 6.210684 6.793863 7.566216 5.441434 6.570204 8.561448 9.822598 -2 8 255465.9259 -0.25 0.4808316766 0.09 1 -0.420235 0.05 50 -2.7325 -1.88354 2 4 5 6 0.420393 -0.927747 1.174898 0.028072 0.054315 0.056027 0.765011 0.242777 0.707790 0.147277 0.932317 0.206131 -2.319910 -2.319933 -0.000074 0.989982 0.990961 0.003167 1.014466 1.014516 0.000159 1.873417 1.872967 -0.001457 2.081732 2.081664 -0.000222 2.856186 2.856240 0.000174 3.424196 3.422982 -0.003926 3.655471 4.103176 1.447971 -2.319910 1.014466 0.989982 1.873417 4.098389 5.024505 3.655471 6.508150 2.081732 2.856186 3.424196 4.543738 2.380647 1.919463 4.004730 5.284875 2 8 693570.1306 -0.25 -0.3878922185 0.09 1 -0.458136 0.1 50 -3.14656 -2.02767 2 4 5 6 0.418892 -1.154561 1.506264 -0.014768 0.014292 0.087778 0.731972 0.360225 0.647273 0.012122 0.844906 -0.042107 3.120793 3.120866 -0.000191 0.178401 0.179809 -0.003659 -0.339712 -0.340153 0.001146 -0.709068 -1.071801 0.943019 -1.476062 -1.476112 0.000130 -1.547925 -1.547386 -0.001401 -2.288507 -2.287961 -0.001419 -2.302394 -2.818411 1.341518 3.120793 -0.339712 0.178401 -1.070843 -2.813103 -3.223289 -2.302394 -4.480736 -1.547925 -1.476062 -2.288507 -3.161790 -1.208079 -0.709068 -2.638628 -3.347809 2 8 1456994.717 -0.25 -0.3930393327 0.09 1 -0.496036 0.15 50 -3.56061 -2.1718 2 4 5 6 0.415899 -1.477291 1.808372 -0.059311 -0.034452 0.107688 0.686004 0.375364 0.575672 -0.140634 0.745189 -0.309877 4.611825 4.612009 -0.000481 1.929069 1.931153 -0.005451 0.425702 0.423477 0.005820 0.135051 -0.310452 1.165184 -0.506865 -0.507352 0.001272 -1.302538 -1.301254 -0.003358 -1.693621 -1.729443 0.093690 -1.729726 -2.222386 1.288522 4.611825 0.425702 1.929069 -1.125984 -2.220846 -2.190918 -1.693621 -3.478721 -1.302538 -0.506865 -1.729726 -2.258141 -0.306614 0.135051 -1.885114 -2.326023 5 28 29.82555823 -0.421281993 3.840866243 0.1225 1 -0.3010967342 -0.35 286.9600864 0.2946568933 -1.041641572 2 4 5 6 0.333531 -0.820427 0.711188 0.228741 0.030345 -0.034985 0.844726 0.521961 0.944514 0.784375 1.301717 1.275148 4.689767 4.744261 1.116950 19.358687 19.314100 -0.913876 24.301186 24.310959 0.200301 30.961160 30.968637 0.153255 18.007954 18.030025 0.452367 31.061037 31.089916 0.591921 40.632075 40.634732 0.054454 41.756238 41.745326 -0.223663 4.689767 19.358687 24.301186 31.324441 41.756238 51.939907 62.267461 64.558085 18.007954 31.061037 40.632075 43.543549 30.961160 48.254237 46.146316 48.895893 5 28 26.43922532 -0.8464433826 3.973860254 0.1225 1 -0.2599403828 -0.3 342.3053502 0.2430421538 -1.185670587 2 4 5 6 0.403093 -0.488797 0.096374 0.229626 0.028719 -0.032633 0.863199 0.595128 0.944085 0.835123 1.290259 1.308910 13.406402 13.449392 1.101804 25.011589 24.979038 -0.834273 26.344276 26.348772 0.115234 37.811951 37.816230 0.109677 19.644368 19.659809 0.395750 38.179491 38.203785 0.622645 43.280138 43.285627 0.140689 48.173027 48.158405 -0.374763 13.406402 25.011589 26.344276 42.080039 48.173027 58.577458 73.168480 74.019580 19.644368 38.179491 43.280138 49.542096 37.811951 55.209335 58.139555 58.511985 5 29 20.34176284 -0.8549744555 4.400989506 0.1225 1 -0.2867200061 -0.25 533.8742756 -0.0009555392462 -1.117587748 2 4 5 6 0.420535 -0.479185 0.112628 0.229536 0.029938 -0.033465 0.862821 0.673304 0.954286 0.892001 1.307924 1.345608 14.676598 14.712136 1.052349 26.234033 26.203965 -0.890368 29.148652 29.156007 0.217789 41.544654 41.547970 0.098176 21.895776 21.910438 0.434180 42.702148 42.725830 0.701298 47.974384 47.978249 0.114452 53.242257 53.216611 -0.759430 14.676598 26.234033 29.148652 46.423344 53.242257 64.763716 80.529991 80.573409 21.895776 42.702148 47.974384 53.762269 41.544654 60.342450 62.119515 64.482005 5 28 8.609306924 -0.4356531873 5.901930228 0.1225 1 -0.3753058061 -0.2 127.5472036 -1.190206832 -1.511779946 2 4 5 6 0.393440 -0.716759 0.640153 0.174661 0.091947 -0.062459 0.841664 0.721663 0.866235 0.858183 1.168150 1.168523 5.021804 5.048191 0.980366 23.979875 23.956904 -0.853419 36.963211 36.973178 0.370304 45.777429 45.797748 0.754903 28.280843 28.301637 0.772570 49.456282 49.486165 1.110244 62.023395 62.009075 -0.532047 62.189152 62.175342 -0.513105 5.021804 23.979875 36.963211 45.777429 63.651169 79.175925 85.892882 99.102793 28.280843 49.456282 62.023395 62.189152 46.235596 64.948907 64.489724 75.367491 5 28 14.2861495 -0.8100935527 6.534666672 0.1225 1 -0.3377746695 -0.15 9.941182325 -1.441910257 -1.518977928 2 4 5 6 0.451464 -0.476764 0.171113 0.159328 0.124635 -0.104566 0.858017 0.800385 0.884871 0.908956 1.191021 1.169123 17.102605 17.122388 0.933813 34.983229 34.968337 -0.702928 39.190199 39.200306 0.477075 59.659219 59.660800 0.074612 32.650845 32.665490 0.691255 63.721075 63.747806 1.261751 70.828939 70.826585 -0.111118 75.267813 75.246038 -1.027857 17.102605 34.983229 39.190199 61.538926 77.809282 94.803790 112.457383 118.235459 32.650845 63.721075 70.828939 75.267813 59.659219 85.164213 84.538541 96.258354 2 28 31.36822567 -0.8096100341 7.950581641 0.1225 1 -0.3539444896 -0.1 7.170982442 -1.835593464 -1.732042834 2 4 5 6 0.469677 -0.466299 0.171449 0.128548 0.149729 -0.118543 0.856017 0.828403 0.848031 0.900592 1.128006 1.084340 18.221870 18.232857 0.656446 42.349883 42.338361 -0.688380 44.506121 44.523787 1.055511 70.259628 70.276048 0.981026 39.822964 39.836021 0.780139 78.462032 78.490833 1.720784 85.767423 85.758528 -0.531441 89.527993 89.504909 -1.379174 18.221870 42.349883 44.506121 70.259628 94.521132 115.060639 133.982244 143.783629 39.822964 78.462032 85.767423 89.527993 72.103754 101.222851 100.707938 120.463961 5 28 101.4310464 -0.6680778598 8.478162743 0.1225 1 -0.387275569 -0.05 10.98360161 -2.197277016 -2.030967212 2 4 5 6 0.475429 -0.497070 0.258730 0.096822 0.160764 -0.114743 0.846472 0.707135 0.787193 0.758303 1.026694 0.890640 10.688817 10.691220 0.155033 41.187118 41.186529 -0.038032 49.843589 49.855018 0.737063 69.974171 69.981955 0.502016 41.949478 41.959046 0.617101 80.727017 80.753502 1.708095 89.075331 89.049509 -1.665302 90.098652 90.086007 -0.815537 10.688817 41.187118 49.843589 69.974171 97.235565 118.832810 132.156393 146.708210 41.949478 80.727017 89.075331 90.098652 72.300055 97.994695 99.564788 126.843128 2 23 156.0417465 -0.519393006 1.162867416 0.1225 1 -0.4168264097 0 533.0203498 -1.020795648 -2.399179141 2 4 5 6 0.480943 -0.540313 0.361814 0.188059 0.081987 -0.062385 0.835142 0.156289 0.711749 0.552241 0.899765 1.022116 -0.026363 -0.026358 0.000047 5.148638 5.148675 0.000337 7.180458 7.181932 0.013188 7.908023 8.140158 2.077232 5.661205 5.661839 0.005680 10.494272 10.496837 0.022953 11.420407 11.414175 -0.055772 12.036312 12.037340 0.009205 -0.026363 5.148638 7.180458 7.908023 12.784203 15.676770 16.521950 18.939400 5.661205 10.494272 11.420407 12.036312 9.194496 11.933131 12.399685 16.879000 2 7 108707.2851 -0.287658203 -0.5923582986 0.1225 1 -0.453904 0.05 50 -3.32314 -2.15126 2 4 5 6 0.479395 -0.695107 0.677870 -0.012444 0.132746 -0.060551 0.816112 -0.019992 0.731999 0.077320 0.947512 0.058249 1.651036 1.651044 -0.000038 -2.076674 -2.076687 0.000057 -2.369202 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