********** 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 31 5069441.347 -0.25 -0.6546849949 0.0225 1 -0.6 -0.05799941731 -2251.541124 -1.293933647 -0.9353306995 3 4 5 6 0.271368 -26.740358 21.804755 -0.170250 -1.906767 0.417354 -2.062402 -0.741080 -2.072975 -2.170924 -1.917034 -2.676717 33.167117 33.167128 -0.000030 28.508951 28.508926 0.000072 24.402210 23.646538 2.148046 22.649341 22.069814 1.647342 25.716747 25.716966 -0.000621 22.564721 22.566749 -0.005766 21.830391 21.829829 0.001598 19.488241 19.475685 0.035692 33.167117 28.508951 22.649341 21.945715 19.127945 21.830391 19.488241 16.786708 25.716747 22.564721 19.477177 17.446484 21.357287 24.402210 20.337217 17.555312 5 33 11548974.96 -0.25 -0.2645737496 0.0225 1 -0.5 0.009628577539 3.51714044 -1.279744631 -1.094258199 3 4 5 6 0.269166 -15.645194 13.369528 0.120923 -1.405507 1.566049 -0.497543 10.020112 -0.368011 -0.477266 -0.106272 -0.487572 8.986854 8.986857 -0.000003 7.439147 7.439136 0.000013 6.360652 6.556455 -0.223104 5.524925 5.396588 0.146231 5.830797 5.830897 -0.000114 5.382356 4.559432 0.937664 4.558421 4.198110 0.410549 4.199534 4.158436 0.046828 8.986854 7.439147 5.524925 5.396590 4.158409 5.382356 3.824809 2.450820 5.830797 4.558421 4.199534 2.847022 5.259351 6.360652 3.931099 3.022977 5 32 3662739.179 -0.25 -0.3095286122 0.0225 1 -0.4 -0.01709152976 0.8820937536 -1.186589231 -1.108877762 3 4 5 6 0.226749 -7.116475 6.892559 0.118522 -0.450886 0.876222 0.400095 5.511431 0.444047 0.195814 0.698378 0.317148 5.921535 5.921568 -0.000037 3.831648 3.460971 0.416257 3.461207 3.340666 0.135364 3.340079 2.359663 1.100972 2.108314 2.108155 0.000179 2.037733 1.289632 0.840091 1.289561 1.289283 0.000313 1.286647 1.177744 0.122294 5.921535 3.461207 3.340079 1.612723 1.289561 2.037733 1.024215 -0.434112 2.108314 1.286647 0.747227 0.619669 2.739092 3.831648 1.345427 -0.364327 5 33 499321.3356 -0.25 -0.5563967639 0.0225 1 -0.3 -0.03487580544 1.201625971 -1.108496152 -1.090142065 3 4 5 6 0.239311 -2.086990 3.093922 0.120253 0.026793 0.151231 0.633956 0.615140 0.667806 0.389339 0.930629 0.659149 3.930903 3.931053 -0.000320 1.205406 1.202281 0.006657 0.714549 0.714058 0.001044 0.377003 0.379585 -0.005500 -1.297863 -1.297786 -0.000165 -1.528056 -1.700177 0.366692 -1.696735 -1.951304 0.542340 -1.956821 -2.551978 1.267939 3.930903 1.205406 0.714549 0.377003 -2.550726 -1.528056 -4.253575 -4.421825 -1.696735 -1.297863 -1.956821 -3.330049 -0.313016 0.272168 -1.805188 -3.230691 2 8 231.7476679 -0.4586635835 2.093481282 0.0225 1 -0.2 -0.101403 50 -1.04575 -1.03912 3 4 5 6 0.264019 -0.697226 0.798640 0.132281 0.174658 -0.127561 0.705951 0.198366 0.758628 0.487804 1.045919 0.826256 0.919270 0.924763 0.048579 5.311017 5.306334 -0.041414 9.542074 10.542016 8.842999 10.536873 10.566909 0.265626 7.972875 7.981415 0.075523 12.994889 13.002439 0.066766 17.375895 17.389219 0.117832 17.518107 17.492138 -0.229656 0.919270 5.311017 9.542074 10.536873 17.375895 22.159164 24.250017 28.761417 7.972875 12.994889 17.518107 19.488952 11.986852 15.080102 20.131022 20.681879 1 28 8.986510587 -1.66473149 7.528833947 0.0225 1 -0.1 -0.09224040519 9706.973055 -1.144245056 -1.119434277 3 4 5 6 0.323262 -0.452161 0.234260 0.132974 0.201963 -0.185515 0.737346 0.727834 0.782940 0.823715 1.072660 1.049022 27.262543 27.289467 1.048437 35.284370 35.262810 -0.839567 42.254390 42.270839 0.640557 59.874629 59.876746 0.082443 30.538569 30.555747 0.668898 61.655122 61.677814 0.883654 73.060477 73.058949 -0.059486 75.800723 75.801679 0.037257 27.262543 35.284370 42.254390 70.756669 75.800723 94.293583 116.750426 120.505731 30.538569 61.655122 73.060477 78.654768 59.874629 87.011501 91.284403 96.693414 5 32 12.89645198 -2.500880919 6.263031685 0.0225 1 0 -0.1261432904 7581.469286 -0.9008957139 -0.9390451106 3 4 5 6 0.328760 -0.443045 0.187429 0.161609 0.166993 -0.167223 0.743280 0.700777 0.824143 0.835911 1.141619 1.134687 28.707299 28.739612 1.064533 35.560127 35.574597 0.476709 36.328630 36.302185 -0.871220 55.091042 55.093366 0.076533 25.269078 25.283470 0.474127 54.511547 54.533291 0.716368 61.178250 61.182605 0.143449 66.555234 66.562653 0.244426 28.707299 36.328630 35.560127 66.664075 66.555234 82.156905 104.163744 108.031163 25.269078 54.511547 61.178250 70.524244 55.091042 81.514001 84.707767 85.836306 5 33 14.114535 -2.582102713 6.051051345 0.0225 1 0.1 -0.1532069162 2860.206268 -0.8852743183 -0.8981300259 3 4 5 6 0.321882 -0.458421 0.216453 0.167732 0.152805 -0.153592 0.737230 0.683895 0.824999 0.828970 1.147216 1.144794 30.082492 30.116641 1.064229 34.278659 34.290462 0.367826 39.056470 39.031790 -0.769123 55.539465 55.541988 0.078626 23.787070 23.800986 0.433668 53.322381 53.344923 0.702506 58.834958 58.839517 0.142091 65.207280 65.215541 0.257430 30.082492 39.056470 34.278659 65.910307 65.207280 80.217273 101.897463 106.266387 23.787070 53.322381 58.834958 70.045013 55.539465 81.270691 83.391907 91.376678 5 33 14.15072367 -1.987218745 6.780079219 0.0225 1 0.2 -0.1297557661 207.8061508 -1.189266299 -1.012437011 3 4 5 6 0.320378 -0.474338 0.273124 0.148823 0.170152 -0.162062 0.726372 0.699053 0.791552 0.816396 1.096469 1.082467 35.796451 35.827018 1.062380 38.521678 38.531222 0.331727 45.985681 45.967029 -0.648261 63.852731 63.854477 0.060694 25.867078 25.879123 0.418626 60.235674 60.257344 0.753132 65.584507 65.584902 0.013719 73.328265 73.335262 0.243158 35.796451 38.521678 45.985681 74.404461 73.328265 89.889166 114.553226 119.546896 25.867078 60.235674 65.584507 79.186276 63.852731 92.889797 93.983961 105.057600 -2 28 17.68847471 -1.61488093 5.287587543 0.0225 1 0.3 -0.2930629861 50.44028799 -0.6962892692 -0.9209830874 3 4 5 6 0.249339 -0.565266 0.446230 0.186271 0.111234 -0.109235 0.691879 0.561672 0.766466 0.758490 1.072441 1.145146 23.655990 23.707262 1.081559 27.265146 27.276550 0.240566 36.641373 36.610177 -0.658053 46.488136 46.493687 0.117091 18.182599 18.200856 0.385124 41.618432 41.647187 0.606565 49.030764 49.041035 0.216651 53.110484 53.116784 0.132882 23.655990 36.641373 27.265146 53.859569 53.110484 65.592857 84.986686 88.176967 18.182599 41.618432 49.030764 59.411738 46.488136 68.352606 70.718852 78.068189 2 12 19.88521517 -1.352992937 5.551417647 0.0225 1 0.4 -0.3365752895 13.30701909 -1.102684575 -0.9319655001 3 4 5 6 0.217166 -0.642523 0.635127 0.160846 0.130407 -0.110091 0.663596 0.503964 0.731273 0.678465 1.028413 1.016356 23.676297 23.734133 1.115608 25.754286 25.767707 0.258882 38.331914 38.299673 -0.621890 47.182880 47.189409 0.125938 17.596014 17.616128 0.387968 41.024340 41.055766 0.606188 50.138169 50.149484 0.218253 53.306995 53.312265 0.101657 23.676297 25.754286 38.331914 53.498974 53.306995 66.011208 86.682024 89.566592 17.596014 41.024340 50.138169 60.595213 47.182880 69.729222 72.553893 79.369528 5 33 15951208.15 -0.25 -0.2947710718 0.04 1 -0.6 0.0156875879 3.098203096 -1.540354925 -1.133862525 3 4 5 6 0.298353 -18.424025 15.076080 0.138820 -1.780636 1.707250 -0.809771 8.845171 -0.677665 -0.751378 -0.422032 -0.744902 11.769359 11.769361 -0.000003 9.782536 9.782517 0.000027 8.150907 8.584978 -0.610795 7.385606 7.118534 0.375806 8.003011 8.003070 -0.000083 7.150772 6.514725 0.895001 6.513038 5.757517 1.063118 5.740140 5.738334 0.002542 11.769359 9.782536 7.385606 7.118535 5.504785 7.150772 5.341617 4.729672 8.003011 6.513038 5.740140 4.499769 6.808941 8.150907 5.721977 5.220233 5 33 6422746.072 -0.25 -0.2646692592 0.04 1 -0.5 -0.002044947432 1.536293166 -1.43291709 -1.151752077 3 4 5 6 0.263617 -9.671315 8.490239 0.130835 -0.796284 1.247610 0.227920 8.402457 0.308185 0.029594 0.599415 0.107562 6.703975 6.703983 -0.000010 4.879592 4.879626 -0.000038 4.316982 3.591583 0.809794 3.591582 2.983313 0.679037 3.228704 3.228912 -0.000232 2.940052 2.074044 0.966761 2.072877 1.936911 0.151784 1.936898 1.564650 0.415557 6.703975 4.879592 3.591582 1.744223 1.936898 2.940052 1.853119 0.704501 3.228704 2.072877 1.558660 0.962690 3.274792 4.316982 2.028825 0.917766 5 33 1676578.381 -0.25 -0.3115875346 0.04 1 -0.4 -0.02709238851 3.147529048 -1.2793697 -1.144747592 3 4 5 6 0.250570 -3.746041 4.578447 0.124572 -0.156879 0.430219 0.592045 2.620873 0.627667 0.326910 0.895605 0.552285 4.033489 4.033523 -0.000042 2.140739 2.049606 0.113843 2.049093 1.548429 0.625425 1.548470 0.551392 1.245545 0.132171 -0.043563 0.219527 -0.045217 -0.044298 -0.001148 -0.045922 -0.351721 0.382002 -0.348996 -0.571779 0.278299 4.033489 1.548470 2.049093 0.079823 -0.571277 0.132171 -0.487914 -2.341354 -0.348996 -0.045217 -0.045922 -0.815682 0.904620 2.140739 -0.248045 -1.761741 5 34 132807.0503 -0.25 0.9610848002 0.04 1 -0.3 -0.08219101985 7.320878636 -1.182100266 -1.140202831 3 4 5 6 0.269513 -1.373142 2.054192 0.132146 0.080224 0.032868 0.705448 0.212033 0.748071 0.429997 1.031944 0.750775 -3.500367 -3.499900 0.001937 0.413869 0.413600 -0.001114 1.009268 2.348434 5.550043 2.192835 2.426301 0.967576 3.599659 3.604124 0.018505 4.478300 4.481120 0.011686 6.133147 6.124670 -0.035133 6.695988 6.698925 0.012173 -3.500367 0.413869 2.192835 2.426158 6.695988 7.665117 8.385718 11.409802 3.599659 4.478300 6.133147 8.422492 3.609343 1.009268 6.722655 9.303579 1 21 10.31076161 -0.8270936664 7.093756186 0.04 1 -0.2 -0.1267540017 2759.045373 -1.134852037 -1.217307382 3 4 5 6 0.315908 -0.542805 0.419818 0.143158 0.170757 -0.145844 0.752813 0.704963 0.789938 0.813475 1.077046 1.063457 14.409247 14.436960 0.993680 27.564285 27.540894 -0.838722 40.262959 40.278819 0.568666 51.045687 51.049144 0.123924 29.494886 29.518457 0.845158 53.775189 53.802341 0.973533 68.584017 68.585331 0.047097 68.705611 68.673301 -1.158496 14.409247 27.564285 40.262959 52.281932 68.584017 86.003255 103.636001 110.321827 29.494886 53.775189 68.705611 70.503499 51.045687 67.660733 85.948524 87.878110 5 32 11.57583103 -1.932069646 7.211573783 0.04 1 -0.1 -0.09172297512 8371.426987 -1.275317449 -1.230476774 3 4 5 6 0.378927 -0.440552 0.171781 0.138940 0.188250 -0.177232 0.777637 0.765115 0.818976 0.861334 1.115218 1.090743 33.016299 33.040393 1.053480 40.284429 40.265612 -0.822704 43.110202 43.122710 0.546870 65.164559 65.165913 0.059183 31.474296 31.487013 0.555997 66.715288 66.734942 0.859323 73.263027 73.263873 0.036995 80.401053 80.399031 -0.088415 33.016299 40.284429 43.110202 78.322096 80.401053 98.618059 125.250973 125.850614 31.474296 66.715288 73.263027 82.563242 65.164559 94.175491 98.779916 101.566497 1 32 15.60724641 -2.939285092 6.154057954 0.04 1 0 -0.1142034576 6530.925736 -1.041047266 -1.060385832 3 4 5 6 0.386547 -0.440467 0.152680 0.164499 0.155569 -0.156276 0.782795 0.744123 0.855851 0.873219 1.176722 1.166431 33.431105 33.458998 1.061624 37.591381 37.599691 0.316258 40.384144 40.364085 -0.763505 60.324322 60.325638 0.050094 26.781981 26.792587 0.403677 59.659402 59.678225 0.716436 63.077385 63.077923 0.020493 71.784181 71.788474 0.163410 33.431105 40.384144 37.591381 70.431007 71.784181 87.428476 109.814577 114.144645 26.781981 59.659402 63.077385 75.104181 60.324322 86.603183 90.054526 95.521018 5 32 14.73286189 -2.794823287 6.864433803 0.04 1 0.1 -0.1068604623 181.158633 -1.332372393 -1.191001442 3 4 5 6 0.390291 -0.446449 0.170210 0.146041 0.175930 -0.171388 0.779812 0.762253 0.829808 0.866343 1.134335 1.111908 39.393874 39.418497 1.055453 43.580383 43.590155 0.418895 49.216212 49.199240 -0.727520 70.366064 70.367157 0.046840 29.444805 29.454664 0.422630 67.636877 67.656570 0.844186 70.850624 70.848456 -0.092944 81.705933 81.710045 0.176285 39.393874 43.580383 49.216212 79.167681 81.705933 99.011200 124.320134 129.530416 29.444805 67.636877 70.850624 86.261524 70.366064 99.839246 102.761922 112.724194 -2 31 19.1431102 -2.057446522 4.79010388 0.04 1 0.2 -0.2859317135 3078.813972 -0.3022579183 -0.7367789379 3 4 5 6 0.318438 -0.498003 0.234643 0.213734 0.062547 -0.067178 0.754884 0.615434 0.880846 0.831256 1.235852 1.265569 24.536275 24.579812 1.062557 27.952220 27.963040 0.264071 36.158496 36.128394 -0.734651 46.776386 46.780572 0.102161 19.051830 19.066967 0.369419 43.179586 43.204488 0.607748 47.362549 47.370444 0.192677 53.925322 53.928519 0.078014 24.536275 36.158496 27.952220 53.352956 53.925322 65.667615 83.422550 86.507850 19.051830 43.179586 47.362549 58.968544 46.776386 67.264674 69.452864 76.995981 5 30 11.54917753 -1.74239671 5.422944838 0.04 1 0.3 -0.3213444144 6.631339126 -0.7186422985 -0.9274075343 3 4 5 6 0.295968 -0.540196 0.338292 0.193682 0.096387 -0.096085 0.736231 0.635226 0.823660 0.820512 1.148583 1.204256 24.452399 24.492970 1.041859 29.274667 29.305689 0.796653 41.547104 41.516927 -0.774956 50.758918 50.796968 0.977135 20.508330 20.525824 0.449264 47.341294 47.370343 0.745993 52.661519 52.670286 0.225126 59.674358 59.676540 0.056048 24.452399 29.274667 41.547104 50.758918 59.674358 72.629713 93.005946 96.156926 20.508330 47.341294 52.661519 66.006390 52.457636 75.396617 77.789163 86.238502 5 34 15.32954057 -1.479579248 5.480462194 0.04 1 0.4 -0.3656639314 11.90484039 -0.6931793947 -0.8854560736 3 4 5 6 0.264661 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