******* 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 determined by best chi^2 fit. 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 60973.035081 -0.250000 0.852426 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 0.264000 -10.521051 -10.496866 -0.078422 -4.068630 -4.048478 -0.065346 -6.508729 -6.501760 -0.022596 -1.539096 -1.547830 0.028321 -2.017513 -1.990092 -0.088919 1.311130 1.316736 -0.018178 1.978728 1.970310 0.027297 3.625571 3.664174 -0.125177 1 3 44074.152625 -0.250000 1.133837 0.032492 1.000000 -0.300000 -0.450000 10.000000 -0.300000 5 -0.166708 -3.215350 -8.049813 0.217994 0.036336 -0.091077 0.614759 0.413674 -11.896732 -11.868054 -0.086730 -3.857253 -3.852328 -0.014894 -6.967571 -6.945006 -0.068244 -0.594786 -0.611975 0.051984 -0.989936 -0.954025 -0.108607 2.249976 2.252525 -0.007707 3.945991 3.948158 -0.006551 6.440295 6.475709 -0.107103 1 3 30736.054399 -0.250000 1.813207 0.032492 1.000000 -0.300000 -0.400000 10.000000 -0.300000 5 -0.096857 -2.580147 -6.695004 0.220475 0.022209 -0.068976 0.647159 0.409294 -15.885134 -15.845191 -0.112238 -4.236801 -4.265156 0.079677 -8.296429 -8.233210 -0.177642 1.140743 1.110317 0.085494 0.775966 0.829611 -0.150740 4.412189 4.412230 -0.000114 8.530472 8.565747 -0.099120 12.310915 12.290578 0.057147 1 3 20601.794948 -0.250000 3.471823 0.032492 1.000000 -0.300000 -0.350000 10.000000 -0.300000 5 -0.028368 -2.051460 -5.265050 0.223159 0.008189 -0.049178 0.674186 0.409291 -24.891748 -24.827387 -0.101421 -5.464036 -5.524603 0.095444 -10.077386 -9.958696 -0.187035 5.718015 5.659370 0.092415 5.182486 5.271803 -0.140748 10.221640 10.221411 0.000360 20.534228 20.628878 -0.149151 25.948995 25.727848 0.348490 1 3 13243.362891 -0.250000 3.494197 0.032492 1.000000 -0.300000 -0.300000 10.000000 -0.300000 5 0.038294 -1.637265 -3.818066 0.225388 -0.002595 -0.033274 0.698470 0.458055 -20.078214 -20.026553 0.110602 -3.292501 -3.345621 -0.113727 -4.395353 -4.292502 0.220197 8.836500 8.778862 -0.123399 8.078876 8.151477 0.155434 12.358111 12.362273 0.008910 24.661601 24.821569 0.342480 27.193369 26.942974 -0.536080 1 3 8210.283699 -0.250000 3.952649 0.032492 1.000000 -0.300000 -0.250000 10.000000 -0.300000 5 0.102216 -1.332132 -2.466232 0.227060 -0.010304 -0.021605 0.718992 0.517739 -17.878333 -17.835639 0.275988 -1.531434 -1.576046 -0.288388 1.281035 1.329857 0.315600 12.985666 12.950585 -0.226780 11.500023 11.562035 0.400871 16.585749 16.596744 0.071076 32.227337 32.176797 -0.326712 30.954908 30.931866 -0.148951 1 3 5030.290845 -0.250000 3.394626 0.032492 1.000000 -0.300000 -0.200000 10.000000 -0.300000 5 0.162113 -1.116815 -1.344645 0.228297 -0.015703 -0.013100 0.735973 0.531921 -12.005235 -11.982079 0.203885 0.480611 0.457210 -0.206045 5.259943 5.235659 -0.213821 13.355229 13.383038 0.244856 11.302072 11.340182 0.335565 16.582573 16.595855 0.116950 29.561514 29.496502 -0.572435 26.966501 26.987910 0.188506 1 3 3196.790649 -0.250000 2.974361 0.032492 1.000000 -0.300000 -0.150000 10.000000 -0.300000 5 0.216823 -0.967930 -0.536280 0.229195 -0.019343 -0.007004 0.749630 0.535349 -8.369636 -8.359485 0.104741 2.038625 2.029387 -0.095324 6.583884 6.596097 0.126017 13.368681 13.340106 -0.294857 10.769437 10.792248 0.235378 16.540617 16.553424 0.132143 26.357431 26.322592 -0.359488 24.159320 24.154212 -0.052706 1 3 2249.021076 -0.250000 1.845384 0.032492 1.000000 -0.300000 -0.100000 10.000000 -0.300000 5 0.265768 -0.868506 -0.024053 0.229821 -0.021606 -0.002795 0.760171 0.486124 -4.342597 -4.340366 0.017509 2.314942 2.313528 -0.011097 4.893275 4.897300 0.031586 9.191190 9.149139 -0.329983 7.053900 7.062959 0.071081 11.425704 11.433243 0.059164 16.428130 16.408496 -0.154070 15.760371 15.755393 -0.039057 1 3 1819.456343 -0.250000 2.649828 0.032492 1.000000 -0.300000 -0.050000 10.000000 -0.300000 5 0.308957 -0.808659 0.276233 0.230222 -0.022756 -0.000109 0.767788 0.549030 -5.603958 -5.603265 0.009073 4.824065 4.824239 0.002282 7.605782 7.608187 0.031501 13.846863 13.846040 -0.010780 10.495041 10.502274 0.094735 17.900829 17.910083 0.121217 23.512672 23.485355 -0.357820 23.879268 23.865608 -0.178934 1 3 1707.830385 -0.250000 1.132092 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 0.379008 -2.313944 -2.313896 0.000302 2.643435 2.643524 0.000562 3.312684 3.313509 0.005178 5.934702 5.937073 0.014885 4.587008 4.588079 0.006729 8.200937 8.204022 0.019375 9.946423 9.935383 -0.069324 10.696531 10.653643 -0.269318 1 3 1789.483080 -0.250000 2.141639 0.032492 1.000000 -0.300000 0.050000 10.000000 -0.300000 5 0.379293 -0.777463 0.567552 0.230478 -0.022394 0.001632 0.774912 0.530458 -4.488144 -4.488071 0.000947 5.869395 5.870002 0.007881 6.204276 6.205868 0.020691 10.943161 10.939955 -0.041666 8.793989 8.792768 -0.015877 16.515696 16.519773 0.052989 18.389937 18.371310 -0.242091 20.630442 20.616639 -0.179387 1 3 37254.750848 -0.250000 1.104899 0.032492 1.000000 -0.250000 -0.500000 10.000000 -0.300000 5 -0.169491 -3.007348 -7.393870 0.217962 0.035964 -0.086645 0.631135 0.415975 -10.657695 -10.625298 -0.097071 -3.254232 -3.196997 -0.171494 -4.888144 -4.895851 0.023093 0.257212 0.261375 -0.012474 -0.511248 -0.474002 -0.111601 2.400827 2.402991 -0.006486 4.636605 4.642514 -0.017706 6.801680 6.834479 -0.098277 1 3 24726.833244 -0.250000 1.860815 0.032492 1.000000 -0.250000 -0.450000 10.000000 -0.300000 5 -0.098894 -2.401366 -5.960942 0.221820 0.015772 -0.058146 0.664018 0.409593 -14.618421 -14.569559 -0.143867 -2.396130 -2.323331 -0.214347 -5.849445 -5.850106 0.001948 2.697998 2.685478 0.036864 1.419904 1.477065 -0.168303 5.015726 5.017248 -0.004480 10.043158 10.074113 -0.091144 13.753548 13.766887 -0.039273 1 3 15377.972271 -0.250000 3.330657 0.032492 1.000000 -0.250000 -0.400000 10.000000 -0.300000 5 -0.029708 -1.904536 -4.482576 0.224647 0.001341 -0.038297 0.691729 0.411740 -20.616373 -20.539670 -0.121433 0.000665 -0.010064 0.016985 -5.633445 -5.511376 -0.193254 8.469313 8.396865 0.114696 5.824244 5.911406 -0.137990 10.954504 10.959685 -0.008201 21.988042 22.084905 -0.153349 27.698370 27.472783 0.357140 1 3 8738.927968 -0.250000 2.971520 0.032492 1.000000 -0.250000 -0.350000 10.000000 -0.300000 5 0.037402 -1.519147 -3.049089 0.226857 -0.009234 -0.022969 0.716847 0.451801 -13.864951 -13.806657 0.103661 2.165911 2.124071 -0.074401 0.472090 0.583354 0.197856 10.427850 10.256924 -0.303950 7.424404 7.486514 0.110447 11.765114 11.774696 0.017039 23.187166 23.294740 0.191295 25.933966 25.709225 -0.399645 1 3 4400.621483 -0.250000 1.879721 0.032492 1.000000 -0.250000 -0.300000 10.000000 -0.300000 5 0.101313 -1.233214 -1.796669 0.228502 -0.016777 -0.011733 0.738387 0.454618 -6.210406 -6.180302 0.091728 2.368619 2.342880 -0.078428 3.251280 3.258360 0.021572 8.053892 7.912380 -0.431192 5.722674 5.752464 0.090772 8.802710 8.811786 0.027657 16.674050 16.659466 -0.044439 16.707350 16.696211 -0.033940 1 3 1835.830675 -0.250000 2.833755 0.032492 1.000000 -0.250000 -0.250000 10.000000 -0.300000 5 0.160738 -1.025325 -0.847033 0.229730 -0.022140 -0.003450 0.756575 0.504778 -6.023678 -5.989004 0.252698 4.762730 4.731393 -0.228383 7.871133 7.913727 0.310424 12.821454 12.781595 -0.290485 9.729860 9.762792 0.239998 15.360853 15.377081 0.118263 27.071087 26.986288 -0.618003 25.043765 25.117938 0.540565 1 3 561.993400 -0.250000 3.227230 0.032492 1.000000 -0.250000 -0.200000 10.000000 -0.300000 5 0.214787 -0.876425 -0.230513 0.230642 -0.025879 0.002627 0.771631 0.551177 -3.732423 -3.705419 0.299496 6.593880 6.569536 -0.269993 11.825353 11.859520 0.378924 15.805446 15.793591 -0.131479 11.976793 12.003654 0.297905 19.797035 19.815791 0.208014 32.438247 32.373027 -0.723334 28.475890 28.504618 0.318616 1 3 97.166895 -0.250000 3.679237 0.032492 1.000000 -0.250000 -0.150000 10.000000 -0.300000 5 0.263214 -0.775235 0.120397 0.231306 -0.028372 0.007001 0.783766 0.610288 -1.556732 -1.539352 0.269294 8.818188 8.803406 -0.229048 15.599699 15.620272 0.318777 20.074817 20.074629 -0.002916 14.388983 14.410241 0.329379 25.009365 25.028781 0.300852 37.709913 37.666355 -0.674931 33.744014 33.747584 0.055323 1 3 30.013352 -0.250000 3.522492 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 0.542881 0.212365 0.219201 0.117982 9.779031 9.774256 -0.082397 15.929676 15.940836 0.192591 21.164870 21.164737 -0.002299 14.282643 14.295917 0.229061 26.046879 26.062271 0.265619 36.108589 36.078313 -0.522484 33.734854 33.726260 -0.148305 1 3 33.462109 -0.394036 2.806805 0.032492 1.000000 -0.250000 -0.050000 10.000000 -0.600000 5 0.345241 -0.680639 0.467047 0.224926 -0.052547 -0.070756 0.646148 0.503226 1.256072 1.257523 0.022483 9.057234 9.056915 -0.004959 13.334056 13.341146 0.109923 18.437332 18.438191 0.013332 11.661409 11.667375 0.092502 22.199799 22.208923 0.141466 28.475570 28.451722 -0.369758 27.776494 27.761036 -0.239655 1 5 39.793160 -0.516068 1.323779 0.032492 1.000000 -0.250000 0.000000 10.000000 -0.600000 5 0.377947 -0.677490 0.529459 0.226255 -0.056547 -0.058065 0.654473 0.405100 0.759765 0.759882 0.000934 4.775615 4.775783 0.001343 6.371999 6.375360 0.026905 9.061473 9.061918 0.003568 5.590260 5.591232 0.007783 11.049543 11.052427 0.023090 13.276315 13.265094 -0.089827 13.462540 13.425632 -0.295453 1 5 42.337167 -0.601168 0.722519 0.032492 1.000000 -0.250000 0.050000 10.000000 -0.600000 5 0.406106 -0.689726 0.572187 0.226754 -0.056873 -0.052372 0.660150 0.382979 0.397597 0.397721 0.000581 2.836506 2.836516 0.000048 3.481577 3.483503 0.009045 5.043739 5.043861 0.000569 3.081121 3.080771 -0.001644 6.299390 6.300284 0.004198 7.133346 7.127516 -0.027369 7.424442 7.379050 -0.213103 1 3 20949.314779 -0.250000 1.454392 0.032492 1.000000 -0.200000 -0.500000 10.000000 -0.300000 5 -0.103463 -2.251638 -5.473195 0.222569 0.012764 -0.052156 0.674524 0.418731 -10.508687 -10.465093 -0.104958 -1.943949 -1.879045 -0.156264 -2.039491 -2.017249 -0.053552 2.927433 2.931208 -0.009090 1.393848 1.439575 -0.110094 4.173922 4.176528 -0.006274 8.666710 8.715240 -0.116842 11.015560 11.009643 0.014246 1 3 12254.317985 -0.250000 3.289479 0.032492 1.000000 -0.200000 -0.450000 10.000000 -0.300000 5 -0.033965 -1.780270 -3.979111 0.225439 -0.001751 -0.032500 0.702685 0.410863 -18.186161 -18.097875 -0.157824 1.105485 1.246452 -0.251999 -0.125469 -0.087016 -0.068740 10.324251 10.162739 0.288726 6.196109 6.283100 -0.155508 11.585118 11.595288 -0.018181 23.614344 23.738770 -0.222429 28.074216 27.964763 0.195663 1 3 6321.278348 -0.250000 2.049803 0.032492 1.000000 -0.200000 -0.400000 10.000000 -0.300000 5 0.033167 -1.416269 -2.586145 0.227643 -0.012269 -0.017475 0.728382 0.442291 -8.126860 -8.078598 0.052498 3.716345 3.740815 0.026617 2.714063 2.710554 -0.003818 8.035656 7.792697 -0.264282 5.295921 5.339011 0.046872 8.699475 8.709743 0.011170 17.203413 17.293124 0.097584 18.832875 18.577500 -0.277788 1 3 2621.528101 -0.250000 3.175408 0.032492 1.000000 -0.200000 -0.350000 10.000000 -0.300000 5 0.096705 -1.143668 -1.437352 0.229282 -0.019796 -0.006434 0.750663 0.488730 -8.089576 -8.025715 0.313761 8.081310 8.048247 -0.162446 7.794418 7.863113 0.337515 13.470665 13.449022 -0.106337 9.828832 9.879821 0.250524 15.902479 15.923418 0.102875 29.424266 29.290918 -0.655169 30.172089 30.352965 0.888688 1 3 691.575848 -0.250000 2.498860 0.032492 1.000000 -0.200000 -0.300000 10.000000 -0.300000 5 0.155471 -0.941730 -0.626931 0.230513 -0.025210 0.001774 0.769753 0.489522 -3.221131 -3.179709 0.257479 7.459711 7.430154 -0.183722 8.910046 8.960215 0.311851 11.436391 11.427507 -0.055222 8.660169 8.690206 0.186709 14.429862 14.448222 0.114124 24.618182 24.516347 -0.633004 23.739389 23.906701 1.040012 1 3 46.072952 -0.250000 2.157827 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 0.405009 -0.430259 -0.402236 0.202052 7.113808 7.091616 -0.160015 9.432802 9.457468 0.177847 11.434318 11.440724 0.046187 8.061946 8.081158 0.138519 14.046775 14.062461 0.113100 22.447885 22.346021 -0.734463 21.023618 21.118726 0.685748 1 3 25.059954 -0.250000 3.427877 0.032492 1.000000 -0.200000 -0.200000 10.000000 -0.600000 5 0.256774 -0.696866 0.116484 0.222987 -0.046897 -0.092050 0.640992 0.509046 2.434533 2.466702 0.453037 12.106032 12.079655 -0.371459 16.370447 16.390897 0.287992 21.970141 21.989764 0.276349 13.493546 13.515831 0.313837 24.648873 24.671422 0.317560 37.113580 37.051758 -0.870630 34.026383 34.075102 0.686104 1 3 29.786084 -0.458592 3.005765 0.032492 1.000000 -0.200000 -0.150000 10.000000 -0.600000 5 0.301756 -0.626788 0.314691 0.227052 -0.063003 -0.055660 0.656730 0.504396 4.538895 4.556331 0.253036 11.365343 11.351359 -0.202941 15.048977 15.059852 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