********** 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 28 84852934.19 -0.25 -0.1793862218 0 1 -0.6 -0.08859830215 -6.577137323 -0.9752786396 -0.7263331016 3 4 5 6 0.326118 -63.105456 49.791633 -0.036057 -7.507150 -0.284654 -7.691867 -10.289540 -7.680675 -7.711136 -7.668620 -7.744394 16.524200 16.524381 -0.000169 14.305204 14.305228 -0.000022 13.034417 12.948919 0.080027 12.948964 12.638450 0.290646 15.058501 15.058696 -0.000182 13.464345 13.465040 -0.000651 12.919715 12.763333 0.146377 12.764264 12.362051 0.376479 16.524200 14.305204 12.948964 12.360534 12.764264 12.362090 12.668463 11.573382 15.058501 13.464345 12.919715 12.283308 12.856477 12.535466 13.034417 12.293522 5 28 45174156.44 -0.25 -0.4491166152 0 1 -0.5 -0.09065077425 -15.49162097 -0.9779794122 -0.7005946712 3 4 5 6 0.164049 -44.707835 40.173725 -0.015117 -4.840458 0.030140 -4.885766 -4.677518 -4.872565 -4.866326 -4.855953 -4.910067 30.185854 30.184188 0.001964 26.524085 26.524173 -0.000103 23.675750 23.405697 0.318349 23.405383 23.357463 0.056489 26.876686 26.877108 -0.000498 23.926495 23.924210 0.002694 22.971972 22.972198 -0.000266 22.266727 22.135408 0.154803 16.524200 30.185854 26.524085 23.405383 21.984824 22.971972 22.266727 19.186872 26.876686 23.926495 22.131417 22.112029 23.352713 23.675750 22.853973 19.844599 1 22 20305312.88 -0.25 -0.3667137891 0 1 -0.4 0.0006222539087 4078362.252 -0.8852163645 -0.6300414282 3 4 5 6 0.231295 -25.729052 21.576436 0.012649 -2.460507 0.575645 -2.277953 0.805678 -2.256862 -2.199119 -2.217281 -2.282166 16.524200 16.524204 -0.000005 14.367468 14.367453 0.000021 12.657314 13.092165 -0.590138 12.619682 11.645106 1.322602 13.233644 13.233836 -0.000260 11.370088 11.369985 0.000139 11.154560 11.154636 -0.000103 10.805241 10.999807 -0.264047 16.524200 14.367468 12.619682 11.338711 10.722131 11.370088 8.890857 8.143524 13.233644 11.154560 10.805241 9.789458 11.645109 12.657314 9.531210 8.231636 -3 1 6874564.37 -0.25 -0.3667137891 0 1 -0.3 -0.114676 50 -0.97786 -0.676558 3 4 5 6 0.231295 -25.729052 21.576436 0.012649 -2.460507 0.575645 -2.277953 0.805678 -2.256862 -2.199119 -2.217281 -2.282166 16.524200 16.524204 -0.000005 14.367468 14.367453 0.000021 12.657314 13.092165 -0.590138 12.619682 11.645106 1.322602 13.233644 13.233836 -0.000260 11.370088 11.369985 0.000139 11.154560 11.154636 -0.000103 10.805241 10.999807 -0.264047 16.524200 14.367468 12.619682 11.338711 10.722131 11.370088 8.890857 8.143524 13.233644 11.154560 10.805241 9.789458 11.645109 12.657314 9.531210 8.231636 5 29 1018704.215 -0.25 -1.637443708 0 1 -0.2 -0.1116892459 0.7169711554 -0.9790475706 -0.6917093345 3 4 5 6 0.051219 -5.679863 6.175618 0.071103 -0.143033 0.457651 0.462630 1.118270 0.518213 0.217748 0.755199 0.304736 16.524200 16.520385 0.005119 11.187420 11.195256 -0.010516 7.925327 7.460273 0.624056 7.463786 7.282227 0.243634 6.721626 6.711775 0.013219 3.007284 3.783909 -1.042154 1.641921 3.122633 -1.986970 1.014374 1.565833 -0.740004 16.524200 11.187420 7.463786 5.568332 3.007284 0.564930 -1.478819 -1.923640 6.721626 -1.830518 1.641921 1.014374 7.382018 7.925327 3.181930 -0.547522 5 28 8631.475839 -0.25 -23.67927756 0 1 -0.1 -0.1167440843 12.96120516 -1.322025314 -0.9867866322 3 4 5 6 0.128109 -0.966803 1.362174 0.036949 0.182064 -0.032251 0.594273 0.491413 0.606198 0.504908 0.832558 0.542374 16.524200 16.341816 8.852232 -26.675742 -27.015070 16.469731 -34.982471 -34.829156 -7.441349 -84.406065 -84.187394 -10.613525 -66.944429 -67.180863 11.475646 -89.590190 -89.701076 5.381996 -137.878266 -137.488426 -18.921407 -140.810237 -141.200162 18.925555 16.524200 -34.982471 -26.675742 -94.130829 -145.024512 -142.826682 -201.853965 -218.020799 -66.944429 -89.590190 -137.878266 -140.810237 -84.406065 -92.339853 -119.783186 -171.926154 5 28 11.24580645 -1.694596901 7.15235034 0 1 0 -0.1202695117 5.887960038 -0.8174729179 -0.8399298072 3 4 5 6 0.188407 -0.422740 0.253201 0.115557 0.245151 -0.216890 0.620484 0.534041 0.672446 0.651349 0.938848 0.888402 16.524200 16.571963 1.029801 26.848504 26.828758 -0.425735 30.125112 30.136327 0.241806 44.032743 44.040438 0.165899 22.624571 22.656289 0.683871 43.246657 43.283441 0.793086 56.822856 56.827711 0.104664 60.427530 60.462399 0.751803 16.524200 26.848504 30.125112 48.385000 56.822856 72.888256 87.031517 92.800058 22.624571 43.246657 60.427530 63.328062 44.032743 64.510948 71.387197 78.152570 5 28 23.12784023 -2.051249212 5.938416276 0 1 0.1 -0.1428636852 2.850387171 -0.829668744 -0.781936175 3 4 5 6 0.186451 -0.446684 0.305994 0.125700 0.225604 -0.204793 0.610369 0.468059 0.675212 0.618579 0.952383 0.895490 16.524200 16.571301 0.834420 20.164116 20.182376 0.323488 27.381703 27.354773 -0.477081 39.848216 39.893567 0.803428 18.034059 18.056577 0.398916 37.614782 37.645113 0.537323 48.563741 48.569203 0.096779 50.008757 50.038390 0.524962 16.524200 20.164116 27.381703 39.848216 48.563741 62.280210 80.305632 81.196504 18.034059 37.614782 50.008757 54.558074 40.011159 63.569742 62.401773 71.303506 5 29 98.21764755 -1.564160637 4.818596591 0 1 0.2 -0.1201514923 7.90388727 -0.9655508548 -0.6845963573 3 4 5 6 0.184203 -0.501821 0.455797 0.123564 0.211074 -0.184313 0.591147 0.377494 0.675785 0.555175 0.967161 0.845595 16.524200 16.545443 0.301687 19.396133 19.410751 0.207609 24.012752 24.000608 -0.172470 33.870339 33.872882 0.036114 13.878635 13.891459 0.182118 31.170548 31.188847 0.259870 39.513818 39.511669 -0.030522 40.354652 40.375251 0.292548 16.524200 24.012752 19.396133 38.822122 39.513818 50.710551 63.822897 71.258652 13.878635 31.170548 40.354652 44.544315 33.870339 52.810658 51.106535 60.845602 2 29 16.01965141 -1.14191558 7.372469323 0 1 0.3 -0.2751476413 2440.620529 -0.8256067067 -0.6291305369 3 4 5 6 0.100887 -0.651811 0.808105 0.138610 0.174378 -0.138945 0.535951 0.439627 0.623006 0.608615 0.907338 0.914507 16.524200 16.600991 0.913859 29.194752 29.226762 0.380937 37.024297 36.995233 -0.345879 45.371215 45.354646 -0.197182 17.298496 17.339217 0.484601 37.879790 37.933032 0.633612 52.847575 52.873050 0.303167 57.569874 57.617192 0.563122 16.524200 37.024297 29.194752 46.419692 52.847575 69.141564 91.285045 92.529021 17.298496 37.879790 57.569874 64.233656 45.371215 67.228517 78.440492 87.930214 5 29 78.71303424 -1.021524179 4.788474592 0 1 0.4 -0.09497321707 884.3701359 -0.3144327061 -0.1793237534 3 4 5 6 0.135909 -0.721982 0.997504 0.188043 0.108756 -0.108279 0.522551 0.379375 0.708701 0.648873 1.068932 1.085433 3.675217 3.709841 0.360526 16.524200 16.530079 0.061214 32.100490 32.101691 0.012511 38.614643 38.625060 0.108479 11.175001 11.183848 0.092113 27.882699 27.894865 0.126677 35.893253 35.952046 0.612197 38.311593 38.263286 -0.503007 16.524200 38.794442 3.675217 38.614643 35.893253 46.508030 60.111565 63.745243 11.175001 27.882699 38.311593 41.952691 32.100490 50.539704 49.390089 56.298562 5 28 59447488.76 -0.25 -0.2143161086 0.0025 1 -0.6 -0.07954130604 -4.35404774 -0.9786931686 -0.8109743705 3 4 5 6 0.224482 -49.380440 40.226760 -0.009455 -5.579830 0.133956 -5.570510 -4.261571 -5.550514 -5.549948 -5.525006 -5.600328 16.524200 16.524342 -0.000109 14.322716 14.322758 -0.000032 12.743392 12.904402 -0.123939 12.624670 12.502954 0.093693 14.581480 14.581686 -0.000158 13.249761 13.250545 -0.000604 12.245562 12.086269 0.122617 12.086181 12.051447 0.026737 16.524200 14.322716 12.624670 12.503191 12.051753 12.086181 12.245562 10.869794 14.581480 13.249761 11.952963 11.584431 12.422916 12.438108 12.743392 11.434598 5 29 31230235.93 -0.25 -0.2957016938 0.0025 1 -0.5 -0.1018232199 5.772211537 -0.9785446784 -0.8179869271 3 4 5 6 0.087011 -34.428323 32.906541 0.021320 -3.425241 0.489655 -3.176734 2.190320 -3.142077 -3.176166 -3.098658 -3.220709 16.524200 16.524294 -0.000039 14.331396 14.331488 -0.000038 12.903601 13.438268 -0.220106 12.893603 12.310733 0.239949 13.742203 13.742220 -0.000007 12.125620 12.123840 0.000733 12.036607 12.035733 0.000360 11.441610 11.445761 -0.001709 16.524200 14.331396 12.893603 12.310557 11.168327 12.036607 11.102701 9.128733 13.742203 12.125620 11.441610 10.592769 12.084439 12.903601 11.415448 9.530608 1 18 12384228.43 -0.25 -0.4695965132 0.0025 1 -0.4 0.001665542701 98394.6924 -1.07969787 -0.7265978113 3 4 5 6 0.224924 -18.246755 16.089382 0.072697 -1.573117 1.133881 -1.016215 3.534328 -0.954579 -0.938892 -0.840268 -0.982722 16.524200 16.524204 -0.000007 14.224885 14.224867 0.000031 12.500578 13.328826 -1.399720 11.618789 10.848056 1.302521 11.807381 11.807625 -0.000412 10.450272 10.448421 0.003128 9.535027 10.041296 -0.855583 9.530899 9.535901 -0.008454 16.524200 14.224885 11.618789 10.668523 9.428128 10.450272 7.737994 5.768510 11.807381 9.535027 9.530899 7.568103 10.848060 12.500578 8.961401 5.659605 5 29 3568702.532 -0.25 -0.8748964064 0.0025 1 -0.3 -0.1020150148 3.206605846 -0.9829091677 -0.8252355185 3 4 5 6 0.067302 -10.004735 10.187125 0.093850 -0.579132 1.002705 0.257808 3.859947 0.319636 0.055896 0.568026 0.090933 16.524200 16.524114 0.000081 12.816498 12.816464 0.000032 11.444255 11.445099 -0.000795 10.696183 10.319268 0.355096 9.351034 9.349435 0.001506 6.995817 6.436070 0.527343 6.879425 6.412542 0.439855 6.396040 5.308371 1.024705 16.524200 11.444255 12.816498 6.759934 6.995817 6.879425 3.738235 3.277388 9.351034 6.396040 3.810758 2.789775 9.245563 10.696183 5.867198 3.826141 5 29 319290.1185 -0.25 -2.926380058 0.0025 1 -0.2 -0.1021205677 1.837166081 -0.9789469624 -0.833343108 3 4 5 6 0.122653 -2.759770 3.700200 0.092297 0.060762 0.142034 0.576604 0.293941 0.629090 0.362709 0.885784 0.559670 16.524200 16.518215 0.034371 7.688176 7.696639 -0.048601 2.941312 2.932921 0.048184 2.143928 1.396576 4.291924 -4.236613 -4.282667 0.264481 -4.559511 -5.290927 4.200410 -5.297049 -6.307961 5.805510 -9.071279 -9.880635 4.648007 16.524200 7.688176 2.941312 0.869320 -10.265366 -4.559511 -14.663083 -20.204343 -4.236613 -5.297049 -9.071279 -9.923007 0.017701 2.143928 -5.828435 -14.644419 5 28 398.3990433 -0.8705199096 12.24429062 0.0025 1 -0.1 -0.1035449935 5.339015867 -1.199743322 -1.189413285 3 4 5 6 0.207240 -0.522298 0.467538 0.081213 0.242662 -0.174434 0.649777 0.664055 0.643008 0.710242 0.870530 0.827492 16.524200 16.590012 2.671977 35.166071 35.114521 -2.092903 51.011050 51.051129 1.627220 64.169104 64.224886 2.264755 41.524721 41.583616 2.391133 71.217658 71.269065 2.087132 95.687370 95.682578 -0.194563 102.852620 102.789648 -2.556676 16.524200 35.166071 51.011050 64.169104 95.687370 121.929079 137.956355 156.476998 41.524721 71.217658 102.852620 107.113544 68.472270 93.211673 111.323157 123.723566 5 28 24.3201141 -2.362894729 8.212521613 0.0025 1 0 -0.09414653688 1.263612736 -0.9718736764 -0.8524473813 3 4 5 6 0.248972 -0.431472 0.237868 0.121140 0.231655 -0.211374 0.667340 0.676480 0.735829 0.769117 1.026943 0.982087 16.524200 16.567835 1.427510 28.914094 28.939301 0.824654 36.130151 36.102254 -0.912658 51.972495 52.008385 1.174134 28.785499 28.808105 0.739555 58.866383 58.895894 0.965449 73.592068 73.567562 -0.801693 73.662105 73.702067 1.307357 16.524200 28.914094 36.130151 51.972495 73.592068 93.033861 114.921282 120.727091 28.785499 58.866383 73.662105 79.446609 59.054656 86.568067 92.740144 96.010337 2 28 63.01307399 -2.285235713 4.88303958 0.0025 1 0.1 -0.1241233197 3.290789245 -0.846269539 -0.8913461997 3 4 5 6 0.238850 -0.452659 0.282056 0.142604 0.200803 -0.192617 0.657828 0.460408 0.717780 0.637937 1.002435 0.956109 16.524200 16.555087 0.576375 19.581001 19.592820 0.220548 25.125920 25.107438 -0.344885 35.842132 35.992616 2.808192 16.424090 16.437488 0.250018 35.561959 35.581206 0.359179 43.483514 43.474760 -0.163361 44.419976 44.444412 0.455999 16.524200 19.581001 25.125920 35.842132 44.419976 56.088288 72.177860 75.286466 16.424090 35.561959 43.483514 48.675318 37.180905 55.636832 59.432523 59.985872 5 29 71.90972106 -1.704671983 4.022163061 0.0025 1 0.2 -0.1113345372 12.9266517 -0.9579676368 -0.8286064714 3 4 5 6 0.230721 -0.493143 0.393985 0.141285 0.189455 -0.175735 0.640131 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