********* Eigenvalues for the 3+1 transverse lattice ********* Couplings: 0:mu^2 1:g^2 N 2:beta 3:lambda_1 4:lambda_2 5:lambda_3 6:lambda_4 7:lambda_5 8:tau_1 9:tau_2 10:kappa_S 11:kappa_A 12:mu_F 13:mu_0^2 14:mu_1^2 15:mu_2^2 16:mu_3^2 Use chi^2 fit with 40 criteria and tolerance 0.01. Overall scale from minimizing chi^2. Parity doublets (charge,multi,state) with error for difference over average. ( 1, 5,0) and ( 1, 6,0), error 0.25 (-1, 5,0) and (-1, 6,0), error 0.25 (-1, 7,0) and (-1, 4,0), error 0.25 Spectrum for P_perp a = (0,0), ( 0.25 0) using 4 states (multiplet, charge, c^2 error for each) = (15, 1, 0.25 2 2 2) (15, -1, 0.25 2 2 2) (16, -1, 0.25 2 2 2) (16, 1, 0.25 2 2 2) Spectrum for P_perp a = (0,0), ( 0.25 0.25) using 4 states (multiplet, charge, c^2 error for each) = (17, 1, 0.25 2 2 2) (17, -1, 0.25 2 2 2) (18, -1, 0.25 2 2 2) (18, 1, 0.25 2 2 2). Ordinary spectra multiplets, 4 states, (charge,multiplet) = ( 1, 3) (-1, 3) ( 1, 4) (-1, 4) ( 1, 5) (-1, 5) ( 1, 6) (-1, 6) (-1, 7) ( 1, 7) . All spectra extrapolated using (K,p) = (12/2,8) (12/2,6) (14/2,6) (18/2,6) . Winding potential using (n,K,p) = ( 2 0,16/2,6) ( 2 0,16/2,4) ( 2 0,26/2,4) ( 3 0,18/2,7) ( 3 0,18/2,5) ( 3 0,26/2,5) ( 4 0,16/2,8) ( 4 0,16/2,6) ( 4 0,26/2,6) . Roundness of winding using (n,K,p) = ( 2 2,14/2,8) ( 2 2,14/2,6) ( 2 2,22/2,6) with error 1; in G^2 N units. Heavy potential determined using (n,K,p,K_max) = ( 0 0,26/2,2,3.5) ( 0 0,26/2,4,3.5) ( 0 0,26/2,2,3) ( 0 0,42/2,2,3.5) ( 0 0,42/2,2,4.25) ( 0 0,70/2,2,4) ( 0 0,70/2,2,4.5) , L = 3.577-2.726*m 5.058-3.856*m 7.154-5.452*m (all in G^2 N units); relative scale error=0.1. Roundness determined using (n,K,p,K_max) = ( 1 0,14/2,3,3.5) ( 1 0,14/2,5,3.5) ( 1 0,14/2,3,3) ( 1 0,24/2,3,4) ( 1 0,24/2,3,4.5) ( 1 0,36/2,3,5) ( 1 0,36/2,3,6) L=1.265-0.964*m and error 0.1; ( 1 0,14/2,3,3.5) ( 1 0,14/2,5,3.5) ( 1 0,14/2,3,3) ( 1 0,24/2,3,4) ( 1 0,24/2,3,4.5) ( 1 0,36/2,3,5) ( 1 0,36/2,3,6) L=5.058-3.856*m and error 0.1; ( 1 1,22/2,2,5) ( 1 1,22/2,4,5) ( 1 1,22/2,2,4.5) ( 1 1,44/2,2,5) ( 1 1,44/2,2,6) ( 1 1,70/2,2,6) ( 1 1,70/2,2,7) L=0+0*m and error 0.2; all in G^2 N units. p-extrapolation using n=( 1 0) and (K,p) = (14/2,3) (22/2,3) (46/2,3) (14/2,5) (28/2,5) (14/2,7) (16/2,7) . Result format: Fit info, # steps, chi^2, and p damping, scale G^2 N/sigma. The 17 couplings (G^2 N units); which couplings -- if any -- were fit. Winding potential and heavy souce potential fits. Roundness of winding potential, 1 values, and roundness of heavy source potential, 3 values, (G^2 N units) showing measured value and derived value for each. The rescaled spectrum for each P_perp*a and c^2 values. Finally come the states for the ordinary spectra. 2 93 77.74064998 -8.719198472 10.85717086 0 1 -0.09322407979 0.2630434656 -0.1959827684 4.125790871 -0.2507965869 0.963421868 -1.694691785 -2.573457059 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.148365 -0.384917 0.239529 0.107477 -0.196382 0.374130 1.610182 0.831947 0.448302 0.358829 0.542833 0.565992 1.074440 0.502521 17.977756 18.016020 0.986182 22.949050 22.950565 0.039033 33.208187 33.245352 0.957858 35.665956 35.711642 1.177468 32.434295 32.453444 0.493539 48.116038 48.119004 0.076460 55.215593 55.208964 -0.170857 56.867021 56.870369 0.086288 20.678434 20.678454 0.000520 32.434295 32.436134 0.047408 48.116038 48.100060 -0.411799 50.583505 50.591917 0.216800 35.769827 35.770326 0.012873 39.559889 39.560246 0.009206 48.262844 48.263102 0.006663 55.013726 55.020498 0.174534 17.977756 18.053952 0.981914 22.949050 22.952478 0.044175 35.769827 35.744460 -0.326891 39.559889 39.559270 -0.007972 32.434295 32.471971 0.485512 48.116038 48.104004 -0.155070 51.208479 51.218117 0.124211 55.215593 55.224609 0.116184 20.678434 20.678444 0.000129 32.434295 32.438168 0.049907 48.116038 48.107029 -0.116088 50.583505 50.597868 0.185080 33.208187 33.277816 0.897283 35.665956 35.761045 1.225373 35.769827 35.776986 0.092266 48.262844 48.385444 1.579911 17.977756 22.949050 41.647389 47.230924 63.426534 62.221165 68.667568 62.629968 62.021436 64.472984 68.590065 76.283530 20.678434 50.583505 53.897017 59.419484 33.208187 35.665956 54.647512 51.199564 56.867021 59.055556 61.703044 65.252665 39.559889 56.787512 66.558733 75.754449 51.208479 63.693887 67.638807 74.285931 32.434295 48.116038 55.215593 58.117943 35.769827 48.262844 55.013726 58.083944 2 12 104.6388092 -0.25 6.908512945 0.001967542671 1 -0.2859175775 -0.02304343231 -0.04617080277 105.8441254 0.04714841419 41.51103398 -0.7033299165 -0.5553591676 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.179423 0.032144 -0.814782 0.182172 -0.022895 0.135414 2.299824 1.365680 0.643067 0.597530 1.089321 1.038550 1.218054 0.763736 15.111727 15.120337 0.170748 18.289772 18.293292 0.069799 18.463436 18.462482 -0.018918 20.012137 19.999599 -0.248673 21.352172 21.359106 0.137525 34.271297 34.287500 0.321361 37.639672 37.615517 -0.479066 38.942955 38.952319 0.185718 21.352172 21.376417 0.480849 21.533315 21.513957 -0.383918 34.271297 34.268208 -0.061249 37.385563 37.337456 -0.954108 20.347190 20.350486 0.065368 21.081235 21.078258 -0.059043 35.168891 35.173403 0.089490 36.177941 36.174515 -0.067957 15.111727 15.128988 0.171165 18.463436 18.461079 -0.023368 20.015612 20.006060 -0.094726 20.347190 20.343972 -0.031919 21.352172 21.365369 0.130871 34.271297 34.269332 -0.019479 37.639672 37.633769 -0.058535 39.229684 39.244451 0.146433 21.352172 21.401543 0.489577 21.533315 21.494519 -0.384713 34.271297 34.300308 0.287686 37.385563 37.215029 -1.691082 18.289772 18.297206 0.073711 20.012137 19.994420 -0.175688 20.347190 20.358941 0.116521 34.722502 34.725791 0.032621 15.111727 18.463436 20.015612 25.694861 44.384900 46.227036 50.457269 45.996292 37.576720 39.347668 43.712704 45.202439 21.533315 37.385563 40.459752 45.312319 18.289772 20.012137 34.722502 36.172085 38.942955 45.730601 47.710275 44.725067 21.081235 40.235510 43.915252 45.391061 39.229684 43.972219 44.146551 50.019275 21.352172 34.271297 37.639672 41.365761 20.347190 35.168891 36.177941 39.232526 2 29 83.23419647 -9.963903787 9.909704447 0.007919222016 1 0.06665684768 0.07485119468 -0.2869147126 4587635.016 -0.1783436366 2018051.428 -1.515377013 -2.505935987 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.142899 -0.432393 0.382641 0.119397 -0.203517 0.419575 1.998408 0.758632 0.476327 0.372226 0.555377 0.585152 1.081329 0.508217 14.526847 14.571608 1.014171 22.302796 22.330994 0.638894 23.372501 23.368932 -0.080864 29.397801 29.375848 -0.497410 30.464208 30.487745 0.533280 48.103167 48.108803 0.127702 51.064582 51.075361 0.244214 52.464418 52.454892 -0.215846 23.370028 23.369989 -0.000886 30.464208 30.465080 0.019765 48.103167 48.097757 -0.122574 50.405772 50.400728 -0.114274 29.397801 29.398266 0.010538 34.797761 34.797792 0.000688 48.282782 48.282373 -0.009264 50.517041 50.517229 0.004274 14.526847 14.616604 1.016836 23.372501 23.365365 -0.080839 29.397801 29.365172 -0.369652 30.600698 30.617711 0.192739 30.464208 30.504121 0.452159 48.103167 48.101753 -0.016012 51.064582 51.079418 0.168077 52.381156 52.387532 0.072230 23.370028 23.369936 -0.001042 30.464208 30.472841 0.097799 48.103167 48.106094 0.033160 50.405772 50.395609 -0.115126 22.302796 22.358779 0.634218 29.397801 29.388763 -0.102391 39.405699 39.375235 -0.345119 46.348576 46.336357 -0.138426 14.526847 23.372501 30.600698 39.960734 59.500330 63.972496 64.060372 53.885757 56.687334 59.154692 62.492118 66.092700 23.370028 50.405772 53.035513 54.356281 22.302796 39.405699 46.348576 49.752785 52.464418 55.658893 61.185199 53.793453 34.797761 55.024160 59.692318 65.573923 52.381156 59.350755 65.273948 71.940898 30.464208 48.103167 51.064582 52.985337 29.397801 48.282782 50.517041 53.865367 2 10 80.08569985 -9.703171222 6.356633011 0.01800590693 1 0.4603567256 0.03769360804 -0.2405940089 112.769386 0.01205535126 53.92982256 -1.429490563 -1.932714669 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.169863 -0.355078 -0.108878 0.133708 -0.125048 0.292707 1.775690 0.990212 0.543864 0.359250 0.713516 0.631708 1.06373 5 0.449344 12.012017 12.039268 0.470784 15.966203 16.029753 1.097894 16.176335 16.197644 0.368121 21.653985 21.604145 -0.861041 20.321559 20.331906 0.178758 31.603987 31.628190 0.418129 35.293833 35.280396 -0.232154 37.432578 37.437187 0.079623 20.321559 20.403176 1.410018 20.917357 20.848164 -1.195387 31.603987 31.598609 -0.092925 35.293833 35.244077 -0.859603 21.653985 21.663003 0.155803 24.777185 24.773371 -0.065887 34.044008 34.050862 0.118418 35.320474 35.304445 -0.276918 12.012017 12.066642 0.471845 16.176335 16.217207 0.353052 21.653985 21.568326 -0.739919 24.777185 24.767814 -0.080945 20.321559 20.341650 0.173543 31.603987 31.598272 -0.049370 35.293833 35.289664 -0.036015 36.639249 36.688458 0.425069 20.321559 20.482508 1.390284 20.917357 20.782063 -1.168669 31.603987 31.649886 0.396477 35.293833 35.175620 -1.021133 15.966203 16.079569 0.979262 21.653985 21.658962 0.042992 24.679381 24.795604 1.003937 30.721608 30.973755 2.178050 12.012017 16.176335 24.995026 27.263539 43.791562 45.252047 46.021699 40.545531 37.997333 40.887041 46.629394 50.769335 20.917357 36.924270 39.336162 46.631324 15.966203 24.679381 30.721608 32.045367 37.432578 45.290470 45.632384 37.642332 24.777185 38.926604 46.138776 50.992615 36.639249 44.333501 47.456357 48.276081 20.321559 31.603987 35.293833 41.148920 21.653985 34.044008 35.320474 37.984430 2 21 165.9667079 -9.511617143 2.045016211 0.03249196962 1 0.7019188198 0.047421379 -0.2825886398 148.0935677 0.04387922894 72.23754226 -1.304816549 -2.090869737 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.189452 -0.666824 0.228272 0.149544 -0.093524 0.239133 1.381544 0.877330 0.549857 0.286880 0.686553 0.626072 1.06173 0 0.284691 3.234384 3.245747 0.070443 5.288532 5.403403 0.712073 5.512683 5.521645 0.055559 7.634248 7.616964 -0.107145 6.738390 6.741475 0.019118 10.174696 10.184386 0.060065 11.882004 11.876305 -0.035326 12.840402 12.843387 0.018502 6.738390 6.992869 1.577498 7.413846 7.167412 -1.527630 10.174696 10.170255 -0.027531 11.882004 11.854316 -0.171633 7.634248 7.640253 0.037225 8.894476 8.892259 -0.013748 11.296229 11.299104 0.017825 11.975971 11.962855 -0.081306 3.234384 3.257189 0.070685 5.512683 5.530115 0.054031 7.634248 7.608104 -0.081032 8.823215 8.845103 0.067842 6.738390 6.746045 0.023724 10.174696 10.169459 -0.016233 11.882004 11.874410 -0.023537 12.157062 12.187796 0.095259 6.738390 7.074252 1.040990 7.413846 7.092698 -0.995387 10.174696 10.191608 0.052419 11.882004 11.824962 -0.176800 5.288532 5.451440 0.504927 7.634248 7.637990 0.011597 7.746510 8.645863 2.787513 9.355962 9.504287 0.459727 3.234384 5.512683 8.823215 10.458001 14.877300 15.569695 16.113281 14.518480 12.643234 14.314231 16.919349 18.256738 7.413846 12.545537 13.698848 16.638092 5.288532 7.746510 9.355962 9.641917 12.840402 15.750763 15.652731 13.983914 8.894476 13.292112 16.543872 16.121862 12.157062 14.503060 16.862880 16.292445 6.738390 10.174696 11.882004 14.378016 7.634248 11.296229 11.975971 13.015345 2 47 45.55962782 -9.369954152 6.903648624 0.0517766953 1 0.9512419514 0.1401678041 -0.3340921541 45626.48396 0.1750495074 19441.14541 -1.438535821 -1.966143731 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.212016 -0.853742 0.528960 0.160528 -0.129210 0.282729 1.468508 0.908506 0.584132 0.492464 0.737980 0.767697 1.103589 0.655337 12.588568 12.634563 1.077148 22.873800 22.904079 0.709094 23.108835 23.142410 0.786302 31.855151 31.798189 -1.333997 23.953446 23.961978 0.199811 36.801188 36.841209 0.937256 44.993731 44.964840 -0.676588 49.762608 49.781496 0.442344 23.953446 23.999377 1.075658 30.419709 30.408281 -0.267622 36.801188 36.797641 -0.083050 44.993731 44.915822 -1.824531 31.855151 31.885311 0.706302 37.127367 37.115578 -0.276077 42.414935 42.428408 0.315513 45.955897 45.930341 -0.598493 12.588568 12.680809 1.080092 23.108835 23.171279 0.731189 31.855151 31.784283 -0.829832 36.686351 36.760632 0.869798 23.953446 23.975910 0.263045 36.801188 36.792284 -0.104258 44.993731 44.984168 -0.111979 47.044988 47.131445 1.012361 23.953446 24.017717 0.752580 30.419709 30.419520 -0.002217 36.801188 36.887745 1.013542 44.993731 44.794277 -2.335499 22.873800 22.939156 0.765287 31.855151 31.872600 0.204322 35.464283 35.507039 0.500656 36.127930 36.114773 -0.154059 12.588568 23.108835 36.686351 42.277968 54.294113 60.971083 62.630258 61.869363 49.484211 55.882008 70.396403 67.915396 30.419709 49.794092 54.472420 61.451672 22.873800 36.127930 35.464283 40.544158 49.762608 57.792931 60.822745 63.114159 37.127367 54.401822 58.038702 66.968835 47.044988 51.558144 63.248357 64.922916 23.953446 36.801188 44.993731 58.043419 31.855151 42.414935 45.955897 52.630098 2 57 39.69398236 -9.180373479 7.563874923 0.07642881742 1 0.76809841 -0.1692461589 -0.1857716652 49854.19434 0.02426983029 24828.43378 -1.547566329 -2.239030657 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.280322 -0.531459 -0.246649 0.148495 -0.166355 0.340103 2.430894 1.680288 0.611141 0.528937 0.712160 0.733464 1.201923 0.734706 15.880884 15.914083 1.126294 22.903951 22.929273 0.859073 22.963928 22.988224 0.824247 30.912199 30.946653 1.168860 28.683755 28.691760 0.271583 45.567465 45.594481 0.916504 52.273980 52.254324 -0.666836 55.087284 55.102457 0.514725 28.683755 28.712611 0.978958 35.931338 35.925961 -0.182424 45.567465 45.554409 -0.442923 52.273980 52.230872 -1.462461 30.912199 30.932793 0.698634 34.342464 34.327499 -0.507695 48.251991 48.268106 0.546683 50.491023 50.478944 -0.409787 15.880884 15.947544 1.130730 22.963928 23.003966 0.679149 30.912199 30.868313 -0.744429 30.976108 30.940954 -0.596306 28.683755 28.704935 0.359266 45.567465 45.559264 -0.139108 52.273980 52.273502 -0.008117 57.990367 58.038021 0.808336 28.683755 28.727813 0.747345 35.931338 35.929399 -0.032895 45.567465 45.605335 0.642362 52.273980 52.151894 -2.070909 22.903951 22.955543 0.875134 30.912199 30.912751 0.009355 30.976025 30.950573 -0.431737 43.499920 43.555070 0.935498 15.880884 22.963928 30.976108 46.263632 63.643324 69.752069 71.634437 73.417569 54.828004 59.185229 70.233878 74.021273 35.931338 54.454524 61.920480 70.448125 22.903951 30.976025 43.499920 46.429290 55.087284 66.220994 72.402802 72.739651 34.342464 60.321597 68.102494 69.973197 57.990367 60.142587 72.783184 72.055893 28.683755 45.567465 52.273980 62.334198 30.912199 48.251991 50.491023 58.148510 2 11 98.50276386 -8.759288452 5.335730856 0.1072401379 1 0.9533021314 -0.1131319213 -0.3557856176 20228.99226 0.09830611755 9750.568781 -0.9425853121 -1.681989874 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.292031 -0.704270 0.002652 0.196074 -0.050713 0.124779 2.732998 1.632311 0.693443 0.585609 0.877212 0.910024 1.280816 0.779434 13.616507 13.653267 0.916475 18.418231 18.455632 0.932461 18.455880 18.479462 0.587911 27.365051 27.314108 -1.270056 21.736203 21.743039 0.170432 35.513817 35.541446 0.688819 40.778800 40.765922 -0.321056 44.145252 44.157440 0.303854 21.736203 21.726799 -0.234460 30.442837 30.472234 0.732895 35.513817 35.519764 0.148261 40.778800 40.757073 -0.541683 27.365051 27.385758 0.516252 31.613278 31.601371 -0.296874 39.172405 39.190598 0.453572 40.599425 40.593309 -0.152476 13.616507 13.690272 0.919520 18.418231 18.480385 0.774789 27.365051 27.291040 -0.922589 28.963671 28.920827 -0.534079 21.736203 21.750792 0.181865 35.513817 35.520591 0.084441 40.778800 40.786017 0.089972 47.090391 47.252152 2.016436 21.736203 21.717534 -0.232713 30.442837 30.500892 0.723692 35.513817 35.575788 0.772495 40.778800 40.703232 -0.941999 18.455880 18.515353 0.741367 27.365051 27.379584 0.181167 28.939051 28.892377 -0.581827 32.555171 32.557279 0.026273 13.616507 18.418231 28.963671 35.065387 49.302211 55.170868 56.774443 60.105740 46.790474 49.211354 61.739908 64.119516 30.442837 45.471309 53.064306 55.127760 18.455880 28.939051 32.555171 36.241533 44.145252 51.337622 58.273336 58.432140 31.613278 52.455506 52.867509 58.164317 47.090391 48.347601 55.875636 61.666810 21.736203 35.513817 40.778800 51.878997 27.365051 39.172405 40.599425 48.650404 2 13 115.3333111 -8.863029652 4.747518371 0.1453085056 1 0.938967997 -0.1210019785 -0.3291059662 24618.21 0.05026764128 12001.97987 -0.9059424461 -1.83522371 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.358261 -0.472661 -0.492970 0.203897 -0.036127 0.087529 3.732347 2.331802 0.739195 0.600858 0.892286 0.916245 1.392216 0.805047 16.586210 16.617034 0.838815 21.711923 21.753720 1.137435 21.754993 21.760768 0.157166 28.805203 28.759262 -1.250220 21.237650 21.242398 0.129221 37.103009 37.120510 0.476253 41.905854 41.900034 -0.158387 44.552568 44.563462 0.296457 21.237650 21.227961 -0.263663 31.219160 31.242930 0.646873 37.103009 37.105346 0.063574 41.905854 41.894928 -0.297342 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