******* Eigenvalues for the 2+1 transverse lattice ******* Couplings: m^2, G^2 N, la_1/a, la_2/a, la_3/a, tau 0 1 2 3 4 5 Use chi^2 fit with 12 criteria, and tolerance 0.001. Overall scale from fitting lowest state to lattice value. 2 parity doublets with fractional errors 2 0.5. Spectrum for P_perp a = ( 0) ( 0.25) using (# states, o, multiplet, c^2 error for each) = (4, 1 & -1, 1 & 2, 0.5 2 0.5 0.5) (4, 1 & -1, 2 & 1, 0.5 0.5 0.5 0.5). Spectra extrapolated using (K,p) = (8/2,6) (8/2,8) (10/2,6) (10/2,8) (16/2,6) . Winding potential using (n,K,p) = ( 2,10/2,6) ( 2,10/2,4) ( 2,16/2,4) ( 3,9/2,7) ( 3,9/2,5) ( 3,13/2,5) ( 4,10/2,8) ( 4,10/2,6) ( 4,14/2,6) . Heavy potential determined using (n,K,p,K_max) = ( 0,-14/2,2,4) ( 0,-14/2,4,4) ( 0,-14/2,4,3) ( 0,-34/2,2,4) , L = 2 3 4 (all in G^2 N units); with relative error 0.25. Roundness determined using (n,K,p,K_max) = ( 1,-7/2,3,4) ( 1,-7/2,5,4) ( 1,-7/2,3,3) ( 1,-21/2,3,4) , L=2 and error 0.3 (all in G^2 N units). p-extrapolation using (n,K,p) = ( 1,21/2,1) ( 1,17/2,3) ( 1,21/2,3) ( 1,21/2,5) . Result format: fit info, # steps, chi^2, p damping, and scale g^2 N/(a sigma); the 6 couplings (G^2 N units) and which--if any--were fit; winding and longitudinal string tension fits; n=1 L=2 eigenvalue and derived value (G^2 N units); the rescaled spectrum for each P_perp*a and c^2 values. 1 3 60992.954374 -0.250000 -1.338807 0.032492 1.000000 -0.300000 -0.500000 10.000000 -0.600000 5 -0.237752 -3.941970 -9.315494 0.228940 -0.067272 -0.228133 0.378841 0.244856 16.524200 16.486216 -0.193447 6.390128 6.358478 -0.161190 10.222509 10.211564 -0.055739 2.417281 2.430999 0.069862 3.168675 3.125607 -0.219340 -2.059241 -2.068045 -0.044840 -3.107759 -3.094538 0.067335 -5.694265 -5.754895 -0.308779 1 3 44094.819938 -0.250000 -1.574865 0.032492 1.000000 -0.300000 -0.450000 10.000000 -0.600000 5 -0.166708 -3.215350 -8.049813 0.200931 0.062397 -0.349988 0.418759 0.258118 16.524200 16.484368 -0.167322 5.357608 5.350768 -0.028733 9.677745 9.646403 -0.131659 0.826140 0.850014 0.100289 1.374991 1.325112 -0.209530 -3.125149 -3.128689 -0.014869 -5.480863 -5.483871 -0.012638 -8.945375 -8.994564 -0.206627 1 3 30760.244865 -0.250000 -1.886153 0.032492 1.000000 -0.300000 -0.400000 10.000000 -0.600000 5 -0.096857 -2.580147 -6.695004 0.195702 0.082780 -0.347943 0.454713 0.274959 16.524200 16.482650 -0.121451 4.407249 4.436745 0.086217 8.630198 8.564435 -0.192222 -1.186635 -1.154986 0.092511 -0.807183 -0.862987 -0.163113 -4.589694 -4.589736 -0.000124 -8.873656 -8.910350 -0.107256 -12.806189 -12.785033 0.061838 1 3 20633.829320 -0.250000 -2.304744 0.032492 1.000000 -0.300000 -0.350000 10.000000 -0.600000 5 -0.028368 -2.051460 -5.265050 0.198950 0.064248 -0.304782 0.486786 0.299236 16.524200 16.481475 -0.044695 3.627259 3.667467 0.042061 6.689797 6.611006 -0.082424 -3.795861 -3.756930 0.040726 -3.440355 -3.499647 -0.062026 -6.785559 -6.785407 0.000159 -13.631493 -13.694326 -0.065729 -17.226046 -17.079239 0.153575 1 3 13281.636702 -0.250000 -2.875694 0.032492 1.000000 -0.300000 -0.300000 10.000000 -0.600000 5 0.038294 -1.637265 -3.818066 0.203495 0.041279 -0.260264 0.515087 0.338804 16.524200 16.481684 0.074913 2.709700 2.753418 -0.077029 3.617339 3.532693 0.149143 -7.272365 -7.224929 -0.083580 -6.648846 -6.708596 0.105278 -10.170621 -10.174046 0.006035 -20.296289 -20.427941 0.231967 -22.379913 -22.173839 -0.363095 1 3 8258.923339 -0.250000 -3.653270 0.032492 1.000000 -0.300000 -0.250000 10.000000 -0.600000 5 0.102216 -1.332132 -2.466232 0.207584 0.021731 -0.222735 0.539745 0.406342 16.524200 16.484740 0.235764 1.415440 1.456673 -0.246356 -1.184008 -1.229131 0.269603 -12.002112 -11.969687 -0.193727 -10.628993 -10.686309 0.342446 -15.329518 -15.339681 0.060717 -29.786389 -29.739676 -0.279095 -28.610335 -28.589038 -0.127242 1 3 5097.673469 -0.250000 -4.672419 0.032492 1.000000 -0.300000 -0.200000 10.000000 -0.600000 5 0.162113 -1.116815 -1.344645 0.210872 0.006815 -0.192942 0.560904 0.515551 16.524200 16.492328 0.386265 -0.661521 -0.629311 -0.390356 -7.239871 -7.206446 -0.405089 -18.382354 -18.420631 0.463885 -15.556355 -15.608811 0.635735 -22.824523 -22.842804 0.221564 -40.688949 -40.599465 -1.084491 -37.117130 -37.146598 0.357129 1 3 3298.544249 -0.250000 -5.872291 0.032492 1.000000 -0.300000 -0.150000 10.000000 -0.600000 5 0.216823 -0.967930 -0.536280 0.213349 -0.003705 -0.170118 0.578714 0.668854 16.524200 16.504159 0.408268 -4.024864 -4.006625 -0.371560 -12.998585 -13.022696 0.491197 -26.393832 -26.337415 -1.149316 -21.262135 -21.307171 0.917476 -32.656196 -32.681480 0.515077 -52.037564 -51.968781 -1.401239 -47.697826 -47.687741 -0.205441 1 3 2503.361758 -0.250000 -7.021950 0.032492 1.000000 -0.300000 -0.100000 10.000000 -0.600000 5 0.265768 -0.868506 -0.024053 0.215079 -0.010328 -0.153326 0.593323 0.842114 16.524200 16.515710 0.253514 -8.808683 -8.803302 -0.160679 -18.619607 -18.634924 0.457333 -34.973789 -34.813777 -4.777863 -26.841097 -26.875565 1.029191 -43.476431 -43.505121 0.856647 -62.511378 -62.436668 -2.230795 -59.970457 -59.951518 -0.565517 1 3 2007.427650 -0.250000 -7.813456 0.032492 1.000000 -0.300000 -0.050000 10.000000 -0.600000 5 0.308957 -0.808659 0.276233 0.216136 -0.013523 -0.141748 0.604878 0.990265 16.524200 16.522158 0.078883 -14.224556 -14.225070 0.019840 -22.426910 -22.434001 0.273886 -40.829771 -40.827345 -0.093731 -30.946370 -30.967696 0.823686 -52.783565 -52.810852 1.053933 -69.331014 -69.250466 -3.111113 -70.411984 -70.371705 -1.555762 1 3 2749.697953 -0.250000 -8.084425 0.032492 1.000000 -0.300000 0.000000 10.000000 -0.600000 5 0.346680 -0.780828 0.453069 0.216582 -0.013669 -0.134738 0.613515 1.078485 16.524200 16.523857 0.015391 -18.877137 -18.877776 0.028668 -23.656344 -23.662232 0.264071 -42.380540 -42.397468 0.759090 -32.756464 -32.764116 0.343144 -58.564039 -58.586072 0.988052 -71.028801 -70.949965 -3.535244 -76.385427 -76.079158 -13.734111 1 3 2015.369054 -0.250000 -7.884967 0.032492 1.000000 -0.300000 0.050000 10.000000 -0.600000 5 0.379293 -0.777463 0.567552 0.216464 -0.011037 -0.131817 0.619361 1.100696 16.524200 16.523932 0.012842 -21.609613 -21.611846 0.106825 -22.842558 -22.848419 0.280476 -40.289919 -40.278116 -0.564787 -32.377221 -32.372723 -0.215218 -60.806571 -60.821581 0.718274 -67.707046 -67.638467 -3.281608 -75.956012 -75.905195 -2.431635 1 3 37276.608153 -0.250000 -1.713089 0.032492 1.000000 -0.250000 -0.500000 10.000000 -0.600000 5 -0.169491 -3.007348 -7.393870 0.190372 0.114323 -0.391755 0.438921 0.261285 16.524200 16.473970 -0.233348 5.045517 4.956777 -0.412252 7.578812 7.590761 0.055514 -0.398794 -0.405249 -0.029986 0.792664 0.734916 -0.268277 -3.722356 -3.725713 -0.015592 -7.188814 -7.197976 -0.042562 -10.545649 -10.596503 -0.236246 1 3 24753.543237 -0.250000 -2.103407 0.032492 1.000000 -0.250000 -0.450000 10.000000 -0.600000 5 -0.098894 -2.401366 -5.960942 0.194684 0.088025 -0.336611 0.475500 0.277139 16.524200 16.468968 -0.183824 2.708509 2.626220 -0.273878 6.612027 6.612775 0.002489 -3.049731 -3.035579 0.047102 -1.605014 -1.669628 -0.215046 -5.669618 -5.671338 -0.005724 -11.352467 -11.387458 -0.116458 -15.546575 -15.561652 -0.050181 1 3 15413.774695 -0.250000 -2.669550 0.032492 1.000000 -0.250000 -0.400000 10.000000 -0.600000 5 -0.029708 -1.904536 -4.482576 0.201138 0.054133 -0.277279 0.508347 0.303157 16.524200 16.462722 -0.078010 -0.000533 0.008066 0.010912 4.515255 4.417416 -0.124149 -6.788227 -6.730160 0.073683 -4.668182 -4.738042 -0.088647 -8.780129 -8.784281 -0.005269 -17.623605 -17.701241 -0.098514 -22.200482 -22.019672 0.229432 1 3 8786.886288 -0.250000 -3.541447 0.032492 1.000000 -0.250000 -0.350000 10.000000 -0.600000 5 0.037402 -1.519147 -3.049089 0.206900 0.025410 -0.227577 0.537583 0.355151 16.524200 16.454726 0.147238 -2.581325 -2.531460 -0.105678 -0.562635 -0.695239 0.281030 -12.427875 -12.224166 -0.431724 -8.848379 -8.922401 0.156876 -14.021621 -14.033041 0.024202 -27.634383 -27.762590 0.271712 -30.908009 -30.640165 -0.567648 1 3 4519.690699 -0.250000 -5.001425 0.032492 1.000000 -0.250000 -0.300000 10.000000 -0.600000 5 0.101313 -1.233214 -1.796669 0.211588 0.003001 -0.187956 0.563345 0.470339 16.524200 16.444101 0.649388 -6.302251 -6.233766 -0.555230 -8.650772 -8.669608 0.152715 -21.429214 -21.052690 -3.052608 -15.226477 -15.305740 0.642615 -23.421614 -23.445764 0.195794 -44.365107 -44.326303 -0.314603 -44.453709 -44.424072 -0.240278 1 3 2139.723332 -0.250000 -7.773579 0.032492 1.000000 -0.250000 -0.250000 10.000000 -0.600000 5 0.160738 -1.025325 -0.847033 0.215272 -0.013869 -0.156892 0.585783 0.740944 16.524200 16.429083 1.901597 -13.065158 -12.979193 -1.718622 -21.592151 -21.708997 2.335998 -35.171911 -35.062570 -2.185955 -26.691027 -26.781364 1.806030 -42.138009 -42.182524 0.889954 -74.261611 -74.028990 -4.650588 -68.700246 -68.903719 4.067857 1 13 1924.449409 -0.250000 -14.287607 0.032492 1.000000 -0.250000 -0.200000 10.000000 -3.899625 5 0.214787 -0.876425 -0.230513 -0.068863 -1.838188 -3.556856 -2.777200 -2.828733 16.524200 16.404646 5.870150 -29.192451 -29.084675 -5.291894 -52.353252 -52.504512 7.426967 -69.973932 -69.921448 -2.577013 -53.023704 -53.142623 5.838981 -87.645513 -87.728549 4.077112 -143.610736 -143.321994 -14.177436 -126.068572 -126.195758 6.244910 1 3 40166.045167 -0.250000 -39.053898 0.032492 1.000000 -0.250000 -0.150000 10.000000 -0.600000 5 0.263214 -0.775235 0.120397 0.220173 -0.034584 -0.114594 0.621309 4.393122 16.524200 16.339721 30.341699 -93.602178 -93.445270 -25.807103 -165.585695 -165.804072 35.917035 -213.087613 -213.085615 -0.328546 -152.734349 -152.959988 37.111482 -265.466224 -265.672322 33.897414 -400.278386 -399.816027 -76.045406 -358.181661 -358.219560 6.233349 1 3 68896519.278213 -0.250000 274.086837 0.032492 1.000000 -0.250000 -0.100000 10.000000 -0.600000 5 0.306198 -0.714165 0.307084 0.221628 -0.039850 -0.101139 0.634704 33.575964 16.524200 17.056162 714.316856 760.911287 760.539773 -498.868258 1239.496074 1240.364440 1166.039952 1646.849081 1646.838714 -13.921175 1111.339611 1112.372411 1386.841169 2026.720672 2027.918309 1608.183342 2809.627345 2807.271540 -3163.368768 2624.925797 2624.257112 -897.907861 1 5 29515.217838 -0.394036 36.924787 0.032492 1.000000 -0.250000 -0.050000 10.000000 -0.798625 5 0.345241 -0.680639 0.467047 0.214854 -0.059540 -0.188948 0.525967 4.613030 16.524200 16.543277 3.891047 119.152004 119.147796 -0.858278 175.415524 175.508794 19.023944 242.551412 242.562724 2.307318 153.411090 153.489577 16.008913 292.048362 292.168396 24.483031 374.608971 374.295232 -63.992433 365.412300 365.208953 -41.476157 1 5 88346.938390 -0.516068 28.790985 0.032492 1.000000 -0.250000 0.000000 10.000000 -0.811055 5 0.377947 -0.677490 0.529459 0.216691 -0.067775 -0.170598 0.529426 3.782471 16.524200 16.526736 0.441579 103.865240 103.868888 0.635094 138.585117 138.658216 12.726756 197.078700 197.088395 1.687968 121.583006 121.604152 3.681579 240.317391 240.380123 10.921859 288.747646 288.503595 -42.490128 292.797863 291.995146 -139.755882 1 5 555908.676650 -0.601168 30.027987 0.032492 1.000000 -0.250000 0.050000 10.000000 -0.809157 5 0.406106 -0.689726 0.572187 0.217793 -0.068837 -0.156547 0.538972 4.113357 16.524200 16.529344 1.003750 117.885544 117.885966 0.082201 144.694790 144.774859 15.622483 209.618465 209.623504 0.983183 128.051784 128.037229 -2.839828 261.803451 261.840614 7.250967 296.462775 296.220490 -47.272884 308.560779 306.674274 -368.081222 1 3 20979.176500 -0.250000 -2.286933 0.032492 1.000000 -0.200000 -0.500000 10.000000 -0.600000 5 -0.103463 -2.251638 -5.473195 0.194021 0.092910 -0.328420 0.489954 0.277163 16.524200 16.455651 -0.259514 3.056729 2.954671 -0.386370 3.206962 3.171987 -0.132409 -4.603190 -4.609127 -0.022475 -2.191731 -2.263634 -0.272211 -6.563210 -6.567308 -0.015513 -13.627815 -13.704126 -0.288898 -17.321222 -17.311918 0.035224 1 3 12293.751413 -0.250000 -2.988866 0.032492 1.000000 -0.200000 -0.450000 10.000000 -0.600000 5 -0.033965 -1.780270 -3.979111 0.202101 0.051217 -0.261459 0.523307 0.303797 16.524200 16.443982 -0.130296 -1.004459 -1.132544 -0.208045 0.114003 0.079064 -0.056750 -9.380759 -9.234006 0.238366 -5.629872 -5.708913 -0.128384 -10.526400 -10.535641 -0.015010 -21.456323 -21.569378 -0.183633 -25.508625 -25.409174 0.161535 1 3 6392.081660 -0.250000 -4.167829 0.032492 1.000000 -0.200000 -0.400000 10.000000 -0.600000 5 0.033167 -1.416269 -2.586145 0.208576 0.019043 -0.208948 0.553188 0.367550 16.524200 16.426070 0.217037 -7.556379 -7.606133 0.110041 -5.518456 -5.511321 -0.015783 -16.338757 -15.844752 -1.092606 -10.768103 -10.855717 0.193778 -17.688487 -17.709367 0.046180 -34.979395 -35.161803 0.403437 -38.292552 -37.773301 -1.148443 1 3 2783.323395 -0.250000 -6.486259 0.032492 1.000000 -0.200000 -0.350000 10.000000 -0.600000 5 0.096705 -1.143668 -1.437352 0.213660 -0.005350 -0.168004 0.579740 0.542408 16.524200 16.393756 1.309146 -16.507317 -16.439781 -0.677794 -15.921296 -16.061616 1.408258 -27.515901 -27.471692 -0.443683 -20.076897 -20.181052 1.045296 -32.483255 -32.526024 0.429239 -60.103579 -59.831196 -2.733651 -61.631123 -62.000590 3.707993 1 3 5243.840296 -0.250000 -12.818995 0.032492 1.000000 -0.200000 -0.300000 10.000000 -0.600000 5 0.155471 -0.941730 -0.626931 0.217619 -0.023660 -0.136070 0.603119 1.134245 16.524200 16.311708 6.775885 -38.267848 -38.116226 -4.834884 -45.707974 -45.965338 8.206753 -58.667966 -58.622393 -1.453226 -44.426125 -44.580211 4.913480 -74.024288 -74.118472 3.003316 -126.289729 -125.767324 -16.658296 -121.781576 -122.639875 27.369210 1 3 9374070.314398 -0.250000 -82.871809 0.032492 1.000000 -0.200000 -0.250000 10.000000 -0.600000 5 0.208840 -0.795584 -0.140345 0.220672 -0.037187 -0.111226 0.623483 8.328746 16.524200 15.447977 298.018266 -273.207332 -272.355018 -236.015371 -362.268793 -363.216091 262.317393 -439.137438 -439.383452 68.124154 -309.620761 -310.358580 204.310299 -539.469393 -540.071816 166.817843 -862.115814 -858.203716 -1083.304040 -807.416549 -811.069166 1011.451041 1 5 15070.616746 -0.250000 23.266443 0.032492 1.000000 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