********* 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 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 16 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 12 115.7049474 -9.005861658 4.540098951 0.007919222016 1 0.4766636174 -0.03420033848 -0.08235225798 8753.029993 0.1010361659 4193.815861 -0.7551743188 -0.6304824078 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.187182 -0.242780 -0.297378 0.162433 0.138064 -0.193217 1.967611 1.217501 0.640258 0.425867 1.054655 0.929886 1.043800 0.519726 8.194479 8.205569 0.150789 11.478891 11.483413 0.061485 11.805708 11.803681 -0.027560 13.516896 13.502063 -0.201688 14.179256 14.183984 0.064297 21.745041 21.760969 0.216571 24.879085 24.856971 -0.300698 25.987886 26.200616 2.892531 14.179256 14.277147 1.331050 15.332993 15.242713 -1.227559 21.745041 21.742656 -0.032432 24.879085 24.733089 -1.985140 13.941576 13.947234 0.076929 14.879038 14.874472 -0.062084 22.794760 22.798083 0.045191 23.829103 23.820301 -0.119685 8.194479 8.216706 0.151112 11.805708 11.801239 -0.030382 13.526776 13.516366 -0.070775 13.941576 13.943791 0.015058 14.179256 14.189568 0.070110 21.745041 21.740668 -0.029733 24.879085 24.862458 -0.113041 25.090089 25.122759 0.222107 14.179256 14.364854 1.261804 15.332993 15.161956 -1.162812 21.745041 21.778237 0.225688 24.879085 24.615195 -1.794081 11.478891 11.488200 0.063287 13.516896 13.493948 -0.156014 13.941576 13.959182 0.119699 20.431596 20.451581 0.135872 8.194479 11.805708 13.526776 19.604149 29.957303 30.497453 30.586312 28.026623 24.876860 25.798683 29.959990 31.770545 15.332993 24.996866 27.018540 31.959614 11.478891 13.516896 20.431596 22.952507 26.189849 31.768682 31.544048 25.987886 14.879038 26.514363 30.093006 32.119862 25.090089 29.281336 30.270436 33.390648 14.179256 21.745041 24.879085 27.493374 13.941576 22.794760 23.829103 25.530603 2 12 165.2901122 -9.544393374 2.731481242 0.01800590693 1 0.5509797784 -0.03715845381 -0.1044116999 2754.663256 0.09105807955 1251.064888 -0.7555401436 -0.683216902 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.200062 -0.304618 -0.278805 0.158956 0.181141 -0.268979 1.941335 1.261027 0.648919 0.285031 1.036896 0.871361 1.060430 0.300110 5.020508 5.027560 0.061653 7.305521 7.309481 0.034627 7.393786 7.396593 0.024539 8.856781 8.843645 -0.114855 8.788581 8.791406 0.024701 13.495326 13.505467 0.088669 15.546982 15.534244 -0.111374 16.431610 16.438195 0.057577 8.788581 8.955022 1.455267 9.761787 9.601186 -1.404206 13.495326 13.492437 -0.025259 15.546982 15.482602 -0.562907 8.953497 8.957865 0.038196 9.668161 9.664805 -0.029337 14.308957 14.311409 0.021445 14.988607 14.982244 -0.055636 5.020508 5.034650 0.061822 7.393786 7.398985 0.022727 8.861421 8.853683 -0.033827 8.953497 8.948518 -0.021767 8.788581 8.795310 0.029415 13.495326 13.491554 -0.016488 15.546982 15.539727 -0.031718 15.880191 15.900788 0.090045 8.788581 9.060718 1.189706 9.761787 9.500376 -1.142815 13.495326 13.514621 0.084354 15.546982 15.416998 -0.568256 7.305521 7.313814 0.036257 8.856781 8.837862 -0.082711 8.953497 8.967788 0.062477 12.802662 12.814058 0.049822 5.020508 7.393786 8.861421 12.744516 18.911626 19.669737 19.942527 18.361898 15.729046 16.515002 19.512362 20.435683 9.761787 15.729287 17.143664 20.582518 7.305521 8.856781 12.802662 14.440942 16.431610 20.056631 20.276975 17.150033 9.668161 16.744565 19.485824 20.736836 15.880191 18.343811 19.648711 20.171188 8.788581 13.495326 15.546982 17.588016 8.953497 14.308957 14.988607 16.253034 2 12 182.6951451 -9.528504676 2.143134132 0.03249196962 1 0.6768237831 -0.06998201759 -0.1064815138 245.5300598 0.1411662678 106.9875529 -0.9009852566 -0.8218889087 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.224051 -0.394418 -0.186941 0.168834 0.051185 -0.025036 2.098257 1.374625 0.656033 0.285931 1.006190 0.801856 1.096595 0.275947 3.949076 3.956023 0.053371 6.000692 6.004140 0.026490 6.221194 6.221082 -0.000861 7.283016 7.274686 -0.063995 7.207523 7.209479 0.015031 11.085926 11.095057 0.070154 13.012876 13.000848 -0.092404 13.855348 13.861855 0.049992 7.207523 7.413894 1.585501 8.750601 8.549733 -1.543223 11.085926 11.085031 -0.006875 13.012876 12.971861 -0.315107 7.662204 7.666733 0.034790 8.297797 8.294224 -0.027453 11.763355 11.765938 0.019845 12.472290 12.467756 -0.034838 3.949076 3.963003 0.053497 6.221194 6.220753 -0.001693 7.285447 7.278605 -0.026282 7.662204 7.665072 0.011015 7.207523 7.212463 0.018977 11.085926 11.084024 -0.007303 13.012876 13.008788 -0.015702 13.511424 13.525670 0.054724 7.207523 7.434612 0.872336 8.750601 8.533607 -0.833556 11.085926 11.105076 0.073562 13.012876 12.918626 -0.362047 6.000692 6.007674 0.026819 7.283016 7.273126 -0.037992 7.662204 7.669487 0.027975 10.347960 10.360895 0.049690 3.949076 6.221194 7.285447 11.409171 15.629398 17.098287 17.349328 16.148049 13.327062 13.671665 16.502353 17.918271 8.750601 13.317873 14.798450 17.975204 6.000692 7.283016 10.347960 11.764782 13.855348 16.646914 17.931777 15.813869 8.297797 14.462848 16.786214 17.224390 13.511424 14.792587 16.950676 17.252814 7.207523 11.085926 13.012876 15.024649 7.662204 11.763355 12.472290 13.761143 2 30 45.64654345 -9.144992176 6.583307193 0.0517766953 1 0.9578897449 0.03425649655 -0.3472168608 2895.562018 0.1665341647 1397.532039 -1.215021615 -1.708512441 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.208000 -0.947846 0.700515 0.168986 -0.088872 0.218189 1.373494 0.803718 0.604080 0.517015 0.800050 0.823294 1.099400 0.680044 10.001546 10.048212 1.022413 17.970840 18.009193 0.840284 18.267475 18.304982 0.821760 27.746295 27.691983 -1.189925 22.770112 22.779450 0.204591 33.871182 33.913444 0.925929 41.287750 41.258902 -0.632040 45.660914 45.675621 0.322216 22.770112 22.821259 1.120606 28.788765 28.772241 -0.362020 33.871182 33.870433 -0.016401 41.287750 41.214289 -1.609479 27.746295 27.778722 0.710448 33.139484 33.126136 -0.292433 39.071094 39.082862 0.257825 41.474744 41.448973 -0.564633 10.001546 10.095100 1.024843 18.267475 18.338181 0.774556 27.746295 27.679508 -0.731626 31.184403 31.144431 -0.437873 22.770112 22.794168 0.263531 33.871182 33.863823 -0.080611 41.287750 41.281437 -0.069159 43.205538 43.291546 0.942191 22.770112 22.841915 0.786579 28.788765 28.781265 -0.082152 33.871182 33.966200 1.040889 41.287750 41.093175 -2.131493 17.970840 18.049818 0.865175 27.746295 27.769788 0.257356 30.684822 30.751652 0.732104 30.930692 30.906147 -0.268886 10.001546 18.267475 31.184403 39.524690 50.019972 54.243821 57.604641 55.560973 44.581440 50.652728 63.744626 64.040135 28.788765 45.739420 50.402403 57.606619 17.970840 30.930692 30.684822 36.471731 45.660914 53.340840 53.892058 57.520692 33.139484 49.138722 54.878518 60.077214 43.205538 47.637036 60.665840 57.262956 22.770112 33.871182 41.287750 51.754509 27.746295 39.071094 41.474744 46.924288 2 85 42.35093819 -9.411714392 8.00777585 0.07642881742 1 0.6239550522 -0.1415750473 -0.1586469446 572.1825645 0.01698361638 269.611929 -1.668335646 -2.376032931 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.282685 -0.237609 -0.643102 0.142234 -0.188426 0.371906 3.005376 1.943480 0.606104 0.518620 0.683371 0.705421 1.239267 0.729748 21.481433 21.509792 1.027161 27.097336 27.121669 0.881291 27.173185 27.193494 0.735564 34.294231 34.293094 -0.041151 30.740724 30.748466 0.280391 51.089311 51.113404 0.872589 57.071895 57.054199 -0.640934 59.536196 59.548812 0.456950 30.740724 30.768921 1.021250 38.691740 38.679059 -0.459265 51.089311 51.082364 -0.251625 57.071895 57.041196 -1.111877 34.294231 34.308101 0.502379 37.180058 37.169374 -0.386992 53.350249 53.366028 0.571513 55.243495 55.238313 -0.187663 21.481433 21.538376 1.031211 27.173185 27.208080 0.631935 34.294231 34.264555 -0.537415 34.361675 34.309028 -0.953413 30.740724 30.758078 0.314273 51.089311 51.087881 -0.025906 57.071895 57.074251 0.042678 65.433594 65.524275 1.642189 30.740724 30.790864 0.907996 38.691740 38.671012 -0.375365 51.089311 51.126078 0.665823 57.071895 56.974874 -1.756995 27.097336 27.149281 0.940679 34.294231 34.291212 -0.054669 34.361610 34.338779 -0.413451 49.314667 49.408098 1.691968 21.481433 27.173185 34.361675 47.817988 69.312712 74.681092 80.583588 80.926375 59.222789 66.419063 75.879843 79.257193 38.691740 59.113525 68.649475 76.160661 27.097336 34.361610 49.314667 49.958563 59.536196 71.608117 81.472951 79.871801 37.180058 67.690083 74.174068 75.724885 65.433594 66.418069 78.200187 79.266290 30.740724 51.089311 57.071895 67.550016 34.294231 53.350249 55.243495 63.379479 2 12 123.1219523 -9.414094251 5.087145263 0.1072401379 1 1.087510466 -0.02310432945 -0.1375635295 174.0868912 0.234849293 46.82532111 -1.078488251 -1.07425762 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.341449 -0.541986 -0.296357 0.196447 -0.057497 0.127347 3.109602 2.152558 0.734876 0.596327 1.012087 0.915955 1.281452 0.798638 14.930116 14.952219 0.614269 24.258644 24.268909 0.285285 24.768963 24.764420 -0.126257 28.205943 28.172940 -0.917209 20.819749 20.822668 0.081120 34.913869 34.937554 0.658243 42.255109 42.220722 -0.955676 45.392174 45.414715 0.626444 20.819749 20.809216 -0.292730 31.332366 31.360373 0.778379 34.913869 34.912060 -0.050268 42.255109 42.189806 -1.814888 29.000564 29.016931 0.454878 31.123217 31.110110 -0.364277 38.290168 38.301746 0.321791 41.663242 41.650784 -0.346226 14.930116 14.974559 0.617573 24.768963 24.758822 -0.140913 28.257505 28.243006 -0.201482 29.000564 29.023294 0.315860 20.819749 20.828478 0.121308 34.913869 34.910820 -0.042369 42.255109 42.246593 -0.118340 44.390664 44.336962 -0.746252 20.819749 20.797131 -0.314292 31.332366 31.387387 0.764568 34.913869 34.962331 0.673427 42.255109 42.071246 -2.554962 24.258644 24.279687 0.292414 28.205943 28.148467 -0.798691 29.000564 29.053803 0.739816 30.608476 30.606823 -0.022971 14.930116 24.768963 28.257505 31.858564 48.448747 56.004683 56.036422 61.321990 45.079232 49.391306 62.080803 62.804549 31.332366 44.586736 54.552910 54.110091 24.258644 28.205943 30.608476 36.919951 45.392174 51.110252 58.322058 58.828780 31.123217 52.254941 52.614782 55.521441 44.390664 49.405559 53.342025 61.561725 20.819749 34.913869 42.255109 50.135164 29.000564 38.290168 41.663242 49.927181 1 49 98.86447681 -9.196356516 5.347649532 0.1453085056 1 0.6946309105 -0.2074597729 -0.2404269963 25.22459288 0.00498530267 7.237598566 -0.9155508478 -1.646686583 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.374393 -0.174928 -0.874965 0.201327 -0.035632 0.090739 4.531741 2.710846 0.759737 0.674205 0.937828 0.960706 1.439988 0.915606 21.205271 21.232778 0.881176 23.471464 23.500202 0.920582 24.006548 24.021974 0.494143 30.977182 30.937391 -1.274679 24.205477 24.210136 0.149252 43.910857 43.925130 0.457219 47.671913 47.667958 -0.126693 49.699414 49.707901 0.271879 24.205477 24.199708 -0.184802 35.066915 35.081103 0.454499 43.910857 43.913690 0.090763 47.671913 47.665505 -0.205268 30.977182 30.986337 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