******* 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 403737.141812 -0.250000 -0.520146 0.000000 1.000000 -0.300000 -0.500000 10.000000 -0.300000 5 -0.819896 -13.589478 -14.865233 0.282619 -2.256250 2.197694 -0.240413 -0.576263 16.524200 16.508990 -0.103783 13.687614 13.661283 -0.179668 11.581909 11.571546 -0.070713 10.479510 10.587617 0.737665 11.514262 11.503162 -0.075737 9.033280 9.025944 -0.050056 7.336770 7.357225 0.139574 7.307243 7.285898 -0.145650 1 3 336943.737076 -0.250000 -0.569376 0.000000 1.000000 -0.300000 -0.450000 10.000000 -0.300000 5 -0.723634 -12.310361 -13.789013 0.296951 -2.135150 2.298010 -0.142482 -0.374669 16.524200 16.509341 -0.097952 13.312358 13.275365 -0.243873 11.355099 11.377141 0.145307 10.776596 10.870025 0.615909 11.211588 11.199793 -0.077756 8.326894 8.328136 0.008192 7.059830 7.057130 -0.017798 6.566515 6.584005 0.115305 1 3 278042.058430 -0.250000 -0.626799 0.000000 1.000000 -0.300000 -0.400000 10.000000 -0.300000 5 -0.628859 -11.042995 -12.814567 0.304940 -1.983494 2.330878 -0.049666 -0.189560 16.524200 16.509913 -0.090105 12.848692 12.819506 -0.184065 11.349438 11.400759 0.323668 10.953940 11.030863 0.485127 10.854220 10.841618 -0.079472 7.431977 7.447639 0.098773 6.752282 6.738722 -0.085517 5.993333 6.003039 0.061216 1 3 227008.389281 -0.250000 -0.693703 0.000000 1.000000 -0.300000 -0.350000 10.000000 -0.300000 5 -0.535687 -9.790589 -11.948812 0.302426 -1.777685 2.256910 0.036869 -0.025972 16.524200 16.510844 -0.079410 12.387117 12.366853 -0.120482 11.950613 11.965986 0.091401 10.657028 10.720168 0.375411 10.427860 10.414590 -0.078898 6.430754 6.466729 0.213900 5.962044 5.942697 -0.115036 5.969271 5.945945 -0.138694 1 3 183897.397012 -0.250000 -0.770763 0.000000 1.000000 -0.300000 -0.300000 10.000000 -0.300000 5 -0.444295 -8.556723 -11.202076 0.283582 -1.484048 2.020266 0.115736 0.109290 16.524200 16.512379 -0.064768 11.971402 11.992504 0.115619 12.704120 12.686288 -0.097703 10.325376 10.363229 0.207403 9.908461 9.895064 -0.073401 5.655691 5.732582 0.421293 5.081850 5.016246 -0.359452 5.501491 5.483185 -0.100303 1 7 148887.884735 -0.250000 -0.856563 0.000000 1.000000 -0.300000 -0.250000 10.000000 0.225937 5 -0.354947 -7.345358 -10.589904 -0.934066 6.088455 -7.565796 0.586761 0.369758 16.524200 16.514870 -0.045384 12.243364 12.261537 0.088402 12.543085 12.530569 -0.060883 10.619314 10.635380 0.078157 9.255981 9.243233 -0.062013 5.121052 5.181159 0.292394 3.909722 3.852115 -0.280232 4.773330 4.770927 -0.011688 4 4 122379.088131 -0.250000 -0.944830 0.000000 1.000000 -0.300000 -0.200000 10.000000 -0.000000 5 -0.268045 -6.160758 -10.135667 -0.416869 3.155100 -3.712594 0.482544 0.432243 16.524200 16.518463 -0.023246 12.352233 12.364291 0.048862 12.346022 12.337251 -0.035541 10.982720 10.979747 -0.012049 8.414390 8.403142 -0.045577 4.590409 4.628975 0.156275 2.394231 2.367393 -0.108750 3.803164 3.789698 -0.054566 1 6 104413.209173 -0.250000 -1.022926 0.000000 1.000000 -0.300000 -0.150000 10.000000 0.000000 5 -0.184216 -5.007247 -9.874376 -0.483804 3.705835 -4.572351 0.534011 0.418494 16.524200 16.522146 -0.006194 12.010626 12.015931 0.015996 12.122359 12.117953 -0.013284 10.687098 10.681412 -0.017145 7.342915 7.333975 -0.026954 3.855478 3.872000 0.049815 0.916909 0.919868 0.008922 3.336808 3.313067 -0.071579 4 4 93948.467449 -0.250000 -1.078456 0.000000 1.000000 -0.300000 -0.100000 10.000000 0.000000 5 -0.104457 -3.888526 -9.858509 -0.314522 2.792000 -3.424130 0.560730 0.433911 16.524200 16.524084 -0.000210 11.070939 11.072010 0.001931 11.904596 11.892944 -0.021003 9.759228 9.767335 0.014614 6.092720 6.086670 -0.010904 3.054386 3.068075 0.024674 0.241050 0.245806 0.008573 2.214239 2.192626 -0.038957 4 4 88904.463398 -0.250000 -1.108656 0.000000 1.000000 -0.300000 -0.050000 10.000000 0.000000 5 -0.030420 -2.805838 -10.167485 -0.159527 1.958366 -2.376975 0.579348 0.446725 16.524200 16.524309 0.000059 9.697122 9.696945 -0.000095 11.433124 11.432505 -0.000334 8.709987 8.710335 0.000188 4.831510 4.828806 -0.001459 2.451758 2.462469 0.005780 0.091998 0.094657 0.001435 0.639287 0.623216 -0.008672 1 4 87506.035209 -0.250000 -1.117647 0.000000 1.000000 -0.300000 0.000000 10.000000 -0.167673 5 0.035052 -1.753234 -10.924319 -0.214074 2.187008 -2.672699 0.469017 0.427427 16.524200 16.524194 0.000004 8.280789 8.280768 0.000013 11.106843 11.106831 0.000007 7.379064 7.379228 -0.000103 3.803731 3.805316 -0.000994 1.924386 1.929324 -0.003095 0.182996 0.187446 -0.002789 -0.907974 -0.920697 0.007975 1 4 88704.454503 -0.250000 -1.109985 0.000000 1.000000 -0.300000 0.050000 10.000000 -0.203397 5 0.086848 -0.705005 -12.330565 -0.261978 2.421556 -2.967458 0.444192 0.426365 16.524200 16.524353 -0.000237 7.799037 7.796114 0.004509 10.109255 10.112344 -0.004764 6.053209 6.053209 -0.000000 3.352145 3.357037 -0.007546 1.343097 1.339695 0.005247 0.194448 0.203642 -0.014180 -1.828444 -1.839500 0.017053 1 3 305315.546905 -0.250000 -0.598148 0.000000 1.000000 -0.250000 -0.500000 10.000000 -0.300000 5 -0.731181 -11.728297 -13.157387 0.297277 -2.027636 2.343580 -0.088084 -0.240757 16.524200 16.506141 -0.126373 13.471037 13.438240 -0.229502 11.274437 11.258826 -0.109238 9.815578 9.916809 0.708378 11.047138 11.032125 -0.105061 8.078229 8.069489 -0.061166 6.864905 6.870729 0.040756 6.678948 6.666223 -0.089041 1 3 246873.349173 -0.250000 -0.665204 0.000000 1.000000 -0.250000 -0.450000 10.000000 -0.300000 5 -0.635559 -10.447492 -12.094005 0.295731 -1.810639 2.276990 0.007447 -0.059589 16.524200 16.506125 -0.122268 12.996143 12.947191 -0.331133 10.930616 10.936017 0.036536 10.039891 10.156171 0.786564 10.664960 10.648538 -0.111082 7.024803 7.023471 -0.009012 6.516823 6.517868 0.007067 5.904760 5.861570 -0.292159 1 3 195979.653605 -0.250000 -0.746612 0.000000 1.000000 -0.250000 -0.400000 10.000000 -0.300000 5 -0.541437 -9.182806 -11.109558 0.279273 -1.508042 2.047686 0.097064 0.093820 16.524200 16.506246 -0.116127 12.294414 12.245640 -0.315467 11.203721 11.264974 0.396180 9.818474 9.884116 0.424567 10.201906 10.184530 -0.112382 5.786946 5.791468 0.029250 6.105842 6.104279 -0.010105 4.945330 4.916619 -0.185700 1 7 152465.132337 -0.250000 -0.846443 0.000000 1.000000 -0.250000 -0.350000 10.000000 0.223292 5 -0.448946 -7.939017 -10.204310 -0.970418 6.276625 -7.794267 0.577175 0.351504 16.524200 16.506621 -0.106882 11.463160 11.422824 -0.245251 11.829380 11.861111 0.192928 9.315454 9.426126 0.672899 9.628326 9.610342 -0.109346 4.528506 4.533308 0.029200 5.355848 5.300934 -0.333884 3.986589 4.031356 0.272185 4 4 116229.800682 -0.250000 -0.969499 0.000000 1.000000 -0.250000 -0.300000 10.000000 0.000000 5 -0.358292 -6.722032 -9.379418 -0.422407 3.228972 -3.846436 0.491971 0.410825 16.524200 16.507489 -0.092875 10.757172 10.776555 0.107723 12.326893 12.305623 -0.118214 8.896262 8.985361 0.495200 8.902208 8.884046 -0.100943 3.065125 3.054042 -0.061601 3.804765 3.810355 0.031066 3.781462 3.764597 -0.093735 4 4 87118.756728 -0.250000 -1.119891 0.000000 1.000000 -0.250000 -0.250000 10.000000 -0.000000 5 -0.269789 -5.539427 -8.636813 -0.342039 2.958818 -3.647500 0.555814 0.398162 16.524200 16.509328 -0.071892 10.956304 10.979871 0.113926 12.021320 12.001348 -0.096549 8.731503 8.799535 0.328880 7.959842 7.942184 -0.085358 1.422968 1.407100 -0.076707 2.287887 2.374094 0.416741 2.704376 2.608151 -0.465166 4 4 65087.350764 -0.250000 -1.295800 0.000000 1.000000 -0.250000 -0.200000 10.000000 0.000000 5 -0.183923 -4.401492 -7.977837 -0.063164 1.452276 -1.750837 0.605844 0.419618 16.524200 16.512913 -0.043041 11.195607 11.215684 0.076558 11.614606 11.598694 -0.060678 9.074183 9.087510 0.050820 6.705015 6.688926 -0.061348 -0.315533 -0.333647 -0.069073 0.932290 0.946195 0.053021 0.495321 0.483986 -0.043220 1 6 50061.993764 -0.250000 -1.477734 0.000000 1.000000 -0.250000 -0.150000 10.000000 -0.186741 5 -0.101436 -3.323424 -7.398637 0.019180 0.946105 -1.149492 0.505423 0.392034 16.524200 16.518386 -0.013943 11.065388 11.076556 0.026783 11.119223 11.109642 -0.022978 8.865037 8.857359 -0.018413 5.023948 5.010816 -0.031496 -2.077649 -2.100071 -0.053775 -0.604682 -0.592301 0.029695 -1.819409 -1.816648 0.006622 1 4 41414.014497 -0.250000 -1.624863 0.000000 1.000000 -0.250000 -0.100000 10.000000 -0.253690 5 -0.023428 -2.330085 -6.877907 0.085405 0.572296 -0.720794 0.483296 0.378564 16.524200 16.522988 -0.000738 10.063231 10.066076 0.001732 10.630290 10.626666 -0.002207 7.609813 7.605536 -0.002605 2.893129 2.883884 -0.005631 -3.345234 -3.365265 -0.012201 -2.241487 -2.218503 0.013999 -3.236471 -3.240159 -0.002246 1 4 37463.708855 -0.250000 -1.708541 0.000000 1.000000 -0.250000 -0.050000 10.000000 -0.339558 5 0.048662 -1.465860 -6.349675 0.123796 0.334050 -0.482696 0.438744 0.348826 16.524200 16.524260 -0.000080 8.206492 8.206120 0.000495 10.308338 10.307809 0.000704 5.613884 5.613672 0.000282 0.473121 0.466476 0.008838 -3.888039 -3.900562 0.016660 -3.196810 -3.172328 -0.032567 -4.476607 -4.483229 0.008808 1 6 36409.047177 -0.250000 -1.733186 0.000000 1.000000 -0.250000 0.000000 10.000000 -0.425180 5 0.113542 -0.807625 -5.667789 0.148408 0.173519 -0.353865 0.388884 0.312891 16.524200 16.524186 0.000043 6.205680 6.205627 0.000167 10.046781 10.047022 -0.000757 3.474509 3.474529 -0.000062 -1.953465 -1.959532 0.019101 -3.606351 -3.609407 0.009623 -3.850912 -3.827867 -0.072560 -5.072344 -5.087477 0.047648 1 5 37254.268461 -0.250000 -1.713411 0.000000 1.000000 -0.250000 0.050000 10.000000 -0.454860 5 0.170944 -0.446438 -4.660993 0.165629 0.093146 -0.284285 0.371550 0.310584 16.524200 16.524504 -0.001427 6.463297 6.459804 0.016371 7.921094 7.922154 -0.004964 1.733447 1.735392 -0.009113 -3.831989 -3.833407 0.006646 -2.717762 -2.716126 -0.007668 -4.460855 -4.436622 -0.113563 -5.438165 -5.466903 0.134678 1 3 224605.898498 -0.250000 -0.697415 0.000000 1.000000 -0.200000 -0.500000 10.000000 -0.300000 5 -0.644558 -9.927710 -11.681797 0.269609 -1.573225 2.110711 0.050551 0.043745 16.524200 16.502541 -0.155781 13.242144 13.206231 -0.258297 10.922397 10.885274 -0.267007 9.121944 9.145004 0.165853 10.523780 10.504312 -0.140022 6.625593 6.615749 -0.070805 6.411448 6.413649 0.015834 5.995677 5.950570 -0.324430 1 3 174660.399364 -0.250000 -0.790899 0.000000 1.000000 -0.200000 -0.450000 10.000000 -0.264173 5 -0.549739 -8.652443 -10.622927 0.232218 -1.144822 1.804451 0.170116 0.242902 16.524200 16.501938 -0.154870 12.688365 12.636589 -0.360183 10.945959 10.928707 -0.120017 8.579752 8.632293 0.365509 10.014077 9.993328 -0.144346 5.250656 5.237174 -0.093788 5.902043 5.911127 0.063194 5.064237 4.967127 -0.675559 1 5 131993.698109 -0.250000 -0.909753 0.000000 1.000000 -0.200000 -0.400000 10.000000 0.112401 5 -0.456481 -7.400030 -9.615114 -0.828500 5.543140 -6.869426 0.542193 0.356936 16.524200 16.501304 -0.152137 11.815840 11.753886 -0.411661 10.728552 10.814977 0.574254 8.408688 8.444864 0.240376 9.366740 9.344603 -0.147087 3.865239 3.844613 -0.137052 5.019941 5.040822 0.138741 3.777422 3.672468 -0.697374 4 4 96431.140769 -0.250000 -1.064422 0.000000 1.000000 -0.200000 -0.350000 10.000000 -0.000000 5 -0.364948 -6.178279 -8.649187 -0.436641 3.455911 -4.262153 0.536432 0.378426 16.524200 16.500693 -0.146101 10.594941 10.527478 -0.419310 11.077802 11.118420 0.252454 7.796887 7.892977 0.597233 8.523769 8.500175 -0.146643 2.276757 2.253063 -0.147267 3.827841 3.851468 0.146853 2.005180 1.929233 -0.472041 1 8 67690.887869 -0.250000 -1.270738 0.000000 1.000000 -0.200000 -0.300000 10.000000 -0.094643 5 -0.275389 -4.998120 -7.711864 -0.131854 1.792592 -2.182862 0.529720 0.386296 16.524200 16.500265 -0.134018 9.310162 9.304547 -0.031441 11.405852 11.387907 -0.100480 6.908413 7.029969 0.680610 7.391436 7.366372 -0.140336 0.472178 0.446566 -0.143404 1.839915 1.853952 0.078597 0.037388 -0.031603 -0.386289 1 6 45387.448832 -0.250000 -1.552053 0.000000 1.000000 -0.200000 -0.250000 10.000000 -0.193417 5 -0.188176 -3.876030 -6.781277 0.036093 0.852261 -1.035443 0.507669 0.370423 16.524200 16.500447 -0.110997 8.829732 8.835458 0.026759 10.889190 10.874457 -0.068847 5.756527 5.933934 0.829016 5.809452 5.782883 -0.124154 -1.618084 -1.648623 -0.142709 -1.001974 -0.989899 0.056424 -2.277013 -2.354814 -0.363560 1 4 29139.594087 -0.250000 -1.937623 0.000000 1.000000 -0.200000 -0.200000 10.000000 -0.262292 5 -0.103819 -2.839056 -5.817372 0.108413 0.444791 -0.567271 0.497149 0.352228 16.524200 16.502364 -0.070281 8.667196 8.697184 0.096518 9.987557 9.959643 -0.089841 5.081255 5.188576 0.345422 3.494588 3.465777 -0.092732 -3.760665 -3.790223 -0.095135 -4.465405 -4.462751 0.008542 -5.973571 -5.976628 -0.009838 1 4 18422.838054 -0.250000 -2.438424 0.000000 1.000000 -0.200000 -0.150000 10.000000 -0.360521 5 -0.022904 -1.934496 -4.746455 0.142006 0.220524 -0.355310 0.455809 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