********** 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 27 8112.62384 -0.25 -38.34754933 0 1 0.1558137587 -0.35 7396.777546 -2.058178842 -3.124041783 2 4 5 6 0.042015 -0.980651 1.319708 -0.026070 0.113531 0.033950 0.538675 -0.087064 0.040242 -0.097382 -0.171585 -0.125683 16.524200 15.655633 22.390443 -75.766527 -77.036578 32.740137 -110.884964 -112.020976 29.284804 -119.149773 -119.592270 11.406954 -79.307936 -79.893642 15.098672 -125.912969 -126.372560 11.847632 -194.059313 -194.557989 12.855162 -214.639375 -215.110828 12.153409 16.524200 -119.149773 -75.766527 -110.884964 -214.639375 -286.900033 -326.791081 -330.873845 -79.307936 -125.912969 -194.059313 -234.529637 -148.403683 -215.741586 -281.322143 -325.881450 2 23 6220.26202 -0.25 -28.22240415 0 1 0.07667457967 -0.3 5.078752004 -1.791329377 -2.191228745 2 4 5 6 0.055812 -1.010808 1.333765 -0.003757 0.140378 0.012714 0.562402 0.117235 0.295538 0.115411 0.290599 0.110593 16.524200 15.928682 15.008461 -27.532318 -28.477644 23.824445 -70.736815 -70.827199 2.277885 -108.621524 -108.495936 -3.165128 -63.526648 -63.969782 11.168020 -96.728396 -97.043449 7.940084 -142.584316 -142.784470 5.044352 -165.093920 -165.391897 7.509717 16.524200 -27.532318 -70.736815 -113.117481 -165.093920 -217.256807 -243.655793 -266.450161 -63.526648 -96.728396 -142.584316 -179.844524 -108.621524 -168.152218 -216.555647 -233.807327 5 28 146107.054 -0.6847234849 21.00437403 0 1 0.05852199281 -0.25 6.048664414 -0.6461799595 -0.1048229281 2 4 5 6 0.101098 -0.578857 0.543386 0.130772 0.221260 -0.191550 0.584594 1.065942 0.784508 1.126948 1.149027 1.289308 16.524200 16.844811 10.893032 74.355405 74.422875 2.292338 85.926812 85.841033 -2.914414 91.422088 86.048365 -182.576978 55.533644 55.748880 7.312825 96.999128 97.189526 6.468935 145.412955 145.514056 3.435014 152.016011 152.251952 8.016299 16.524200 74.355405 85.926812 91.422088 145.412955 189.483133 235.634989 257.493085 55.533644 96.999128 152.016011 166.024349 107.598950 181.406893 180.518187 208.501968 5 28 45012.90456 -1.100124454 10.96476161 0 1 0.03616117706 -0.2 6.013199404 -0.6454535391 -0.4698266925 2 4 5 6 0.137835 -0.475295 0.345231 0.132938 0.228241 -0.211000 0.601716 0.717570 0.729189 0.819138 1.046861 1.052642 16.524200 16.650849 3.062534 41.054128 41.063955 0.237616 47.013976 46.994321 -0.475296 60.021305 55.699491 -104.506629 31.676555 31.758165 1.973422 57.871387 57.956073 2.047792 81.555861 81.588959 0.800370 88.740216 88.859623 2.887401 16.524200 41.054128 47.013976 60.021305 81.555861 105.433911 130.781749 142.163525 31.676555 57.871387 88.740216 92.545519 62.186735 101.956686 105.031671 108.019887 5 26 6.829128776 -1.714796131 6.987764666 0 1 0.03476567279 -0.15 10307.29769 -0.56505539 -0.5932496702 2 4 5 6 0.176206 -0.430415 0.261732 0.145284 0.218895 -0.219207 0.614936 0.570318 0.719614 0.721956 1.024803 1.023278 16.524200 16.576651 1.033317 28.308913 28.285250 -0.466176 33.076257 33.094615 0.361667 43.675524 43.684839 0.183510 21.493825 21.528350 0.680156 41.743774 41.785417 0.820405 55.406851 55.417368 0.207195 58.539217 58.581296 0.828993 16.524200 28.308913 33.076257 48.382620 55.406851 71.162042 88.105153 92.586385 21.493825 41.743774 58.539217 62.557737 43.675524 67.407116 71.279419 75.666229 5 28 13.48393541 -1.692948377 7.236778344 0 1 -0.02027661683 -0.1 4.812729483 -0.8464874498 -0.8820259779 2 4 5 6 0.196657 -0.423012 0.260753 0.110792 0.249679 -0.217244 0.622594 0.537541 0.665508 0.646984 0.925076 0.871361 16.524200 16.566044 0.952821 25.658361 25.634580 -0.541499 29.175682 29.192730 0.388199 43.990142 43.996192 0.137758 23.255291 23.284383 0.662451 44.021000 44.053631 0.743021 57.408898 57.408593 -0.006925 61.412033 61.470697 1.335825 16.524200 25.658361 29.175682 48.328673 57.408898 73.611583 85.796767 93.602191 23.255291 44.021000 61.412033 63.402457 43.990142 62.261780 70.455326 80.130819 5 28 39.5757694 -1.685558778 7.816099297 0 1 -0.05792357358 -0.05 2.575255177 -1.025109588 -1.031501628 2 4 5 6 0.218090 -0.436319 0.304492 0.087750 0.260341 -0.206079 0.623396 0.524184 0.633243 0.601986 0.866911 0.770280 16.524200 16.547823 0.644283 23.525274 23.510278 -0.408989 25.501398 25.519569 0.495590 46.077297 46.079476 0.059427 25.895653 25.917116 0.585385 48.228205 48.250224 0.600531 61.508160 61.484111 -0.655923 65.706406 65.689585 -0.458770 16.524200 23.525274 25.501398 46.787488 61.508160 78.811256 87.441334 101.960835 25.895653 48.228205 65.706406 67.322003 46.077297 60.330785 75.266288 82.300338 2 8 167.36759 -1.827953687 7.192146386 0 1 -0.0678817 0 50 -1.24395 -1.13649 2 4 5 6 0.244089 -0.445419 0.320339 0.064286 0.269205 -0.199783 0.623551 0.441407 0.610548 0.502520 0.826748 0.630964 16.524200 16.524793 0.016669 21.468389 21.469328 0.026371 33.713101 33.736032 0.644095 43.127852 43.127864 0.000325 24.405576 24.413961 0.235526 46.521409 46.530351 0.251173 57.351230 57.278103 -2.054022 59.301420 59.341753 1.132889 16.524200 21.468389 33.713101 47.753460 57.351230 72.397636 81.090246 93.490191 24.405576 46.521409 59.301420 62.726509 43.127852 54.135970 70.693047 73.161936 5 27 129.1662164 -2.41296374 5.397526987 0 1 -0.02761175993 0.05 2122.033611 -0.1915066663 -0.261806849 2 4 5 6 0.269839 -0.433671 0.270128 0.185903 0.138098 -0.155624 0.628574 0.603828 0.807022 0.795015 1.168623 1.176635 16.524200 16.528453 0.099104 19.501947 19.498766 -0.074133 25.865711 25.883493 0.414390 35.798905 35.798902 -0.000070 18.514031 18.513185 -0.019716 38.352897 38.353390 0.011481 45.559869 45.460128 -2.324308 46.411927 46.467413 1.293019 16.524200 19.501947 25.865711 43.569929 45.559869 58.154714 66.466692 76.663189 18.514031 38.352897 46.411927 47.909173 35.798905 46.585769 56.195834 59.628032 5 27 43881.34237 -1.083248069 51.74673481 0 1 -0.1115107564 0.1 88.26823455 -1.620211276 -1.352104132 2 4 5 6 0.275735 -0.508508 0.415609 0.016329 0.260654 -0.157039 0.596314 0.698578 0.530520 0.700477 0.699203 0.706123 16.524200 16.546975 5.199323 135.780670 135.818951 8.739283 175.332664 175.273537 -13.498376 255.447192 255.653167 47.022776 177.117215 177.019571 -22.291561 322.322438 322.290728 -7.239220 350.528688 350.002890 -120.036692 383.041192 383.464683 96.680327 16.524200 135.780670 175.332664 255.447192 383.041192 505.059188 493.019233 591.761852 177.117215 322.322438 350.528688 447.955286 264.288992 317.484185 437.745083 489.239297 2 24 12712.43577 -0.7766130723 -16.33999862 0 1 -0.1259988114 0.15 13892.81568 -2.041730955 -3.329558306 2 4 5 6 0.286143 -0.540238 0.421706 -0.038472 0.255292 -0.135392 0.572100 -0.096472 0.033096 -0.109359 -0.219055 -0.145560 16.524200 16.524766 -0.042378 -30.878473 -30.954550 5.691248 -36.144056 -36.076985 -5.017528 -70.435871 -70.452904 1.274238 -55.205377 -55.144906 -4.523822 -94.232057 -94.099722 -9.899859 -96.426329 -96.491465 4.872819 -113.671457 -113.706234 2.601688 16.524200 -30.878473 -36.144056 -74.507922 -113.671457 -148.124037 -145.472773 -169.138199 -55.205377 -94.232057 -96.426329 -133.747514 -70.435871 -92.027976 -122.764905 -144.249036 5 28 18553.30596 -0.25 -26.03014187 0.0025 1 0.07388589996 -0.35 275.9874695 -2.169581992 -3.419374984 2 4 5 6 0.069180 -1.129057 1.486769 -0.027982 0.149535 -0.013267 0.599226 -0.043983 0.084914 -0.056238 -0.127413 -0.089260 16.524200 15.924965 17.265286 -69.751691 -75.522932 166.282123 -74.661837 -79.418051 137.036964 -85.984550 -86.283256 8.606375 -63.915406 -64.311057 11.399588 -97.699947 -98.005038 8.790332 -165.537192 -165.789719 7.275870 -165.978142 -166.243195 7.636750 16.524200 -85.984550 -69.751691 -74.661837 -165.537192 -217.920365 -235.670793 -248.713690 -63.915406 -97.699947 -165.978142 -173.324828 -110.819923 -140.687648 -207.426260 -254.539926 5 28 9030.662981 -0.6637747448 17.59215782 0.0025 1 0.06309601266 -0.3 223.9498247 -1.394782924 -1.292138974 2 4 5 6 0.117532 -0.634512 0.590397 0.069054 0.213509 -0.126058 0.620449 0.609082 0.587008 0.645038 0.789901 0.738402 16.524200 16.817296 9.696250 73.569092 73.579076 0.330262 82.779750 81.925149 -28.272031 83.162790 82.851555 -10.296311 49.868748 50.045811 5.857636 88.020184 88.187345 5.530047 131.009393 131.079256 2.311215 143.588657 143.783703 6.452542 16.524200 73.569092 82.779750 83.162790 131.009393 169.565915 213.400700 214.262536 49.868748 88.020184 143.588657 145.178051 98.357049 145.447346 185.420302 192.891737 5 27 120.1819142 -1.387598946 7.580549999 0.0025 1 0.08650221666 -0.25 5.581052502 -0.6200216714 -0.7236752022 2 4 5 6 0.166901 -0.498407 0.339295 0.156557 0.186096 -0.183034 0.636321 0.611839 0.724690 0.763216 1.024097 1.075751 16.524200 16.620398 1.947357 30.731845 30.764007 0.651057 37.995008 37.945885 -0.994401 49.497106 49.667325 3.445795 23.375429 23.423771 0.978598 45.630830 45.689942 1.196627 62.389051 62.403086 0.284121 64.706852 64.762776 1.132084 16.524200 37.995008 30.731845 49.497106 62.389051 79.757781 103.377629 103.997895 23.375429 45.630830 64.706852 71.755983 49.999740 76.260376 86.946347 90.984750 5 26 52.11061983 -1.300618396 7.495042017 0.0025 1 0.01688336714 -0.2 5099.508319 -0.7843897659 -0.8564647657 2 4 5 6 0.184623 -0.467092 0.284610 0.136427 0.213372 -0.197034 0.649422 0.591547 0.712546 0.721245 0.994795 0.991624 16.524200 16.599386 1.664639 32.976464 32.946438 -0.664779 37.206821 37.221364 0.321981 48.571510 48.563514 -0.177032 24.297577 24.341833 0.979829 46.081872 46.133567 1.144527 62.228298 62.238786 0.232209 64.920406 64.970651 1.112415 16.524200 32.976464 37.206821 50.955599 62.228298 79.381748 100.244312 100.889938 24.297577 46.081872 64.920406 70.181193 48.571510 78.201718 75.201425 88.415714 5 27 8.074393059 -1.504712437 6.538905905 0.0025 1 -0.01430058976 -0.15 2614.957258 -0.5903682019 -0.6830348675 2 4 5 6 0.211060 -0.444717 0.255990 0.155617 0.198147 -0.202015 0.658350 0.598383 0.758317 0.754648 1.069127 1.071236 16.524200 16.572835 1.073947 27.543693 27.513127 -0.674950 32.638803 32.657731 0.417965 43.318570 43.326606 0.177442 22.106704 22.136842 0.665502 42.420697 42.456479 0.790139 55.590115 55.592951 0.062631 57.561351 57.594756 0.737634 16.524200 27.543693 32.638803 47.799074 55.590115 70.684213 86.749513 91.342278 22.106704 42.420697 57.561351 61.385908 43.318570 65.470279 68.940743 73.735044 5 28 9.692174315 -1.456796482 7.07076636 0.0025 1 -0.06134995128 -0.1 4.767224836 -0.8045896751 -0.9197209686 2 4 5 6 0.228996 -0.450777 0.294004 0.131359 0.225204 -0.208930 0.660493 0.607923 0.712457 0.728167 0.988017 0.983647 16.524200 16.562874 1.001913 25.659708 25.632645 -0.701128 29.497527 29.515992 0.478348 45.256292 45.261028 0.122685 24.573556 24.599672 0.676574 46.129789 46.158450 0.742526 59.526207 59.522420 -0.098130 62.702921 62.711039 0.210327 16.524200 25.659708 29.497527 47.645480 59.526207 75.745416 88.509143 98.642656 24.573556 46.129789 62.702921 64.275287 45.256292 63.718389 73.919872 74.154755 5 28 27.05934154 -1.430568356 8.058260445 0.0025 1 -0.09094793735 -0.05 2.441329684 -1.015053516 -1.091423263 2 4 5 6 0.250206 -0.464382 0.341346 0.107730 0.240205 -0.202633 0.659306 0.624172 0.675590 0.708463 0.923874 0.900542 16.524200 16.544014 0.639182 25.783084 25.774165 -0.287727 26.529459 26.543688 0.459028 50.031651 50.047785 0.520493 28.607828 28.627629 0.638753 53.336589 53.357221 0.665556 67.337094 67.305736 -1.011600 69.990310 69.975870 -0.465841 16.524200 25.783084 26.529459 50.031651 67.337094 85.744169 96.638614 111.517850 28.607828 53.336589 69.990310 72.523215 50.422045 66.903853 82.579997 83.576444 5 28 135.5622059 -1.532969668 7.294071054 0.0025 1 -0.09924890955 0 5588.000492 -0.7815518555 -0.7061044553 2 4 5 6 0.275529 -0.468844 0.350426 0.135179 0.220306 -0.206920 0.658994 0.683825 0.754231 0.793180 1.061447 1.038745 16.524200 16.524697 0.015996 23.788249 23.789175 0.029781 36.287427 36.307703 0.652002 46.408347 46.408344 -0.000082 26.383003 26.390672 0.246615 50.366158 50.375092 0.287281 61.714686 61.620511 -3.028262 62.222874 62.279667 1.826231 16.524200 23.788249 36.287427 49.714520 61.714686 78.304221 87.540055 101.219330 26.383003 50.366158 62.222874 66.194132 46.408347 59.616453 74.290919 77.730145 5 28 115209.1866 -1.061271047 18.5061548 0.0025 1 -0.1333483604 0.05 6.848252901 -1.454138633 -1.241788913 2 4 5 6 0.287799 -0.511185 0.442679 0.057308 0.250205 -0.172454 0.643978 0.801789 0.626068 0.820076 0.844858 0.871727 16.524200 16.528088 0.331358 54.231413 54.231142 -0.023050 78.417690 78.453364 3.039975 89.381828 87.407706 -168.228196 66.890688 66.886055 -0.394733 122.239241 122.245146 0.503196 140.809554 140.587227 -18.946011 148.341445 148.506395 14.056532 16.524200 54.231413 78.417690 89.381828 148.341445 180.543003 211.267738 234.776998 66.890688 122.239241 140.809554 166.542971 106.483811 130.096048 171.744017 178.011325 5 26 5787.671968 -0.6925781294 -26.45028029 0.0025 1 -0.1572055206 0.1 61752.5145 -2.074840366 -3.59911318 2 4 5 6 0.299133 -0.556441 0.513208 -0.022337 0.258535 -0.149706 0.623515 -0.074945 0.073064 -0.079584 -0.173282 -0.093133 16.524200 16.520409 0.479875 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