********* Eigenvalues for the 3+1 transverse lattice ********* Couplings: 0:mu^2 1:g^2 N 2:beta 3:lambda_1 4:lambda_2 5:lambda_3 6:lambda_4 7:lambda_5 8:tau_1 9:tau_2 10:kappa_S 11:kappa_A 12:mu_F 13:mu_0^2 14:mu_1^2 15:mu_2^2 16:mu_3^2 Use chi^2 fit with 40 criteria and tolerance 0.01. Overall scale from minimizing chi^2. 1/K^2 term used in all extrapolations. Parity doublets (charge,multi,state) with error for difference over average. ( 1, 5,0) and ( 1, 6,0), error 0.25 (-1, 5,0) and (-1, 6,0), error 0.25 (-1, 7,0) and (-1, 4,0), error 0.25 Spectrum for P_perp a = (0,0), ( 0.25 0) using 4 states (multiplet, charge, c^2 error for each) = (15, 1, 0.25 2 2 2) (15, -1, 0.25 2 2 2) (16, -1, 0.25 2 2 2) (16, 1, 0.25 2 2 2) Spectrum for P_perp a = (0,0), ( 0.25 0.25) using 4 states (multiplet, charge, c^2 error for each) = (17, 1, 0.25 2 2 2) (17, -1, 0.25 2 2 2) (18, -1, 0.25 2 2 2) (18, 1, 0.25 2 2 2). Ordinary spectra multiplets, 4 states, (charge,multiplet) = ( 1, 3) (-1, 3) ( 1, 4) (-1, 4) ( 1, 5) (-1, 5) ( 1, 6) (-1, 6) (-1, 7) ( 1, 7) . All spectra extrapolated using (K,p) = (20/2,6) (20/2,8) (26/2,6) (32/2,6) (40/2,6) . Winding potential using (n,K,p) = ( 2 0,20/2,6) ( 2 0,20/2,8) ( 2 0,26/2,6) ( 2 0,32/2,6) ( 2 0,40/2,6) ( 3 0,20/2,5) ( 3 0,20/2,7) ( 3 0,26/2,5) ( 3 0,32/2,5) ( 3 0,40/2,5) ( 4 0,20/2,6) ( 4 0,20/2,8) ( 4 0,26/2,6) ( 4 0,32/2,6) ( 4 0,40/2,6) . Roundness of winding using (n,K,p) = ( 2 2,20/2,6) ( 2 2,20/2,8) ( 2 2,26/2,6) ( 2 2,32/2,6) ( 2 2,40/2,6) with error 1; in G^2 N units. Heavy potential determined using (n,K,p,K_max) = ( 0 0,40/2,2,4) ( 0 0,40/2,4,4) ( 0 0,40/2,2,3.5) ( 0 0,60/2,2,3.75) ( 0 0,60/2,2,4.25) ( 0 0,100/2,2,4) ( 0 0,100/2,2,4.5) , L = 3.577-2.726*m 5.058-3.856*m 7.154-5.452*m (all in G^2 N units); relative scale error=0.1. Roundness determined using (n,K,p,K_max) = ( 1 0,30/2,3,4) ( 1 0,30/2,5,4) ( 1 0,30/2,3,3.5) ( 1 0,60/2,3,4) ( 1 0,60/2,3,5) ( 1 0,100/2,3,5) ( 1 0,100/2,3,6) L=1.265-0.964*m and error 0.1; ( 1 0,30/2,3,4) ( 1 0,30/2,5,4) ( 1 0,30/2,3,3.5) ( 1 0,60/2,3,4) ( 1 0,60/2,3,5) ( 1 0,100/2,3,5) ( 1 0,100/2,3,6) L=5.058-3.856*m and error 0.1; ( 1 1,30/2,2,5.5) ( 1 1,30/2,4,5.5) ( 1 1,30/2,2,5) ( 1 1,30/2,2,5.5) ( 1 1,30/2,2,6.5) ( 1 1,100/2,2,6) ( 1 1,100/2,2,7) L=0+0*m and error 0.2; all in G^2 N units. p-extrapolation using n=( 1 0) and (K,p) = (24/2,5) (24/2,7) (24/2,9) . Result format: Fit info, # steps, chi^2, and p damping, scale G^2 N/sigma. The 17 couplings (G^2 N units); which couplings -- if any -- were fit. Winding potential and heavy souce potential fits. Roundness of winding potential, 1 values, and roundness of heavy source potential, 3 values, (G^2 N units) showing measured value and derived value for each. The rescaled spectrum for each P_perp*a and c^2 values. Finally come the states for the ordinary spectra. 2 47 74.83617534 -2.650012726 8.285035234 0.03249196962 1 0.6325779568 0.03999639361 -0.1479341142 16591.68781 0.2126822502 5769.437475 -1.584391275 -1.93387774 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.208639 -0.442552 -0.261338 0.134674 -0.171411 0.393065 2.134689 1.193896 0.537244 0.458809 0.651359 0.674458 1.131048 0.622794 15.714234 15.756257 1.16224 24.447480 24.466765 0.53337 26.074470 26.075896 0.0394565 33.767129 33.793874 0.739708 26.454174 26.465369 0.309609 45.034348 45.075625 1.14162 54.663817 54.658991 -0.133493 59.900790 59.919255 0.510685 26.454174 26.452219 -0.0540787 35.952838 35.987409 0.956142 45.034348 45.062803 0.786992 54.663817 54.649679 -0.391026 33.767129 33.792122 0.691253 39.047294 39.030467 -0.465378 50.780440 50.805695 0.698486 55.988567 55.987372 -0.0330606 15.714234 15.798304 1.16257 26.074470 26.076514 0.0282644 33.767129 33.762885 -0.0586943 35.233052 35.224747 -0.114854 26.454174 26.471327 0.237195 45.034348 45.075501 0.569095 54.663817 54.677241 0.185637 62.139561 62.100966 -0.533717 26.454174 26.456208 0.0281181 35.952838 36.021496 0.949452 45.034348 45.132100 1.35177 54.663817 54.612315 -0.712211 24.447480 24.486742 0.542942 33.767129 33.784840 0.244918 34.859792 34.837336 -0.310542 40.515009 40.588992 1.02308 15.714234 26.074470 35.233052 40.581977 64.975355 73.902274 85.312214 84.298726 63.171761 65.764416 87.671285 92.917310 35.952838 61.991734 72.525680 79.314342 24.447480 34.859792 45.810036 40.515009 59.900790 68.218397 85.588546 88.837323 39.047294 74.276490 74.033728 84.642869 64.974349 62.139561 84.117709 80.356626 26.454174 45.034348 54.663817 68.715169 33.767129 50.780440 55.988567 68.716989 2 41 55.07763624 -2.679218123 9.577972118 0.0517766953 1 0.5670937073 -0.06091837112 -0.09459761455 2993.026767 0.06833310918 1395.055946 -1.782803475 -2.304809026 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.269747 -0.307615 -0.696546 0.117427 -0.210779 0.446116 2.611410 1.763292 0.555004 0.473893 0.597586 0.620910 1.183384 0.678739 22.187751 22.215515 1.1477 33.216748 33.233832 0.706235 33.295832 33.317558 0.898097 40.197894 40.212730 0.613291 33.945428 33.954976 0.394683 58.576115 58.607585 1.3009 69.052605 69.064435 0.489029 73.216917 73.214829 -0.0863132 33.945428 33.948990 0.147217 43.838720 43.873058 1.41946 58.576115 58.575228 -0.0366611 69.052605 69.078660 1.07708 40.197894 40.219404 0.889144 44.603736 44.587378 -0.67623 63.669049 63.692865 0.984496 67.524394 67.528663 0.176475 22.187751 22.243365 1.14948 33.295832 33.335412 0.818072 40.197894 40.168944 -0.598385 40.233754 40.217860 -0.328515 33.945428 33.971080 0.5302 58.576115 58.596991 0.431494 69.052605 69.074288 0.448168 78.497601 78.425509 -1.49007 33.945428 33.947030 0.0330997 43.838720 43.906469 1.4003 58.576115 58.615929 0.822918 69.052605 69.101985 1.02064 33.216748 33.254297 0.776107 40.197894 40.192515 -0.111197 40.229784 40.219645 -0.209547 50.422459 50.522101 2.05949 22.187751 33.295832 40.233754 52.182385 84.123342 90.077056 105.346619 103.488090 73.318918 82.838744 100.943280 105.962201 43.838720 73.572193 86.715094 94.797732 33.216748 40.229784 50.422459 62.687545 73.216917 85.894901 108.077368 100.463054 44.603736 86.335927 91.490859 101.632644 78.497601 80.286854 101.832588 100.644058 33.945428 58.576115 69.052605 83.429285 40.197894 63.669049 67.524394 80.002099 1 39 31.72291511 -2.631374842 11.21498309 0.07642881742 1 0.7631735859 -0.0836034913 -0.04292944653 5113.31943 0.1405585465 2200.435962 -2.137013179 -2.548385392 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.321820 -0.405751 -0.785151 0.100635 -0.218649 0.434755 2.888920 2.070662 0.568223 0.496952 0.572862 0.595089 1.239898 0.735129 28.084713 28.103460 1.08263 44.099729 44.119594 1.14714 44.190653 44.205550 0.860283 49.953917 49.952988 -0.05369 41.903695 41.909802 0.35268 73.154814 73.195421 2.3449 89.693906 89.693687 -0.0126544 94.437338 94.430868 -0.373621 41.903695 41.919097 0.889433 59.069799 59.109698 2.30403 73.154814 73.139125 -0.906028 89.693906 89.742005 2.77759 52.454794 52.471614 0.971313 57.507380 57.493530 -0.799758 80.176023 80.195482 1.12367 86.257683 86.264445 0.39052 28.084713 28.122390 1.08789 44.099729 44.139380 1.14488 49.970018 49.980489 0.30235 52.454794 52.435694 -0.551485 41.903695 41.927124 0.676483 73.154814 73.170235 0.445263 89.693906 89.712622 0.540401 93.535180 93.547838 0.365485 41.903695 41.923171 0.562339 59.069799 59.150006 2.31586 73.154814 73.188544 0.973886 89.693906 89.747788 1.55577 44.190653 44.219799 0.841544 49.953917 49.956840 0.0843789 52.454794 52.453063 -0.0499775 62.447398 62.420706 -0.770693 28.084713 44.099729 49.970018 60.194200 106.150923 115.075303 129.263087 144.442056 91.607382 109.328084 132.272822 145.876573 59.069799 93.668082 117.200460 120.809426 44.190653 49.953917 62.447398 77.607235 94.437338 108.453668 130.473021 131.974652 57.507380 116.189106 112.602300 120.611446 93.535180 110.104889 119.186139 134.251543 41.903695 73.154814 89.693906 104.279112 52.454794 80.176023 86.257683 104.311232 2 103 40.57916548 -2.631374842 11.21498309 0.1072401379 1 1.003460529 0.02883403994 -0.09856631176 1492.87484 0.1189318201 705.7418338 -1.614233252 -1.795657734 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.321820 -0.405751 -0.785151 0.100635 -0.218649 0.434755 2.888920 2.070662 0.568223 0.496952 0.572862 0.595089 1.239898 0.735129 28.084713 28.103460 1.08263 44.099729 44.119594 1.14714 44.190653 44.205550 0.860283 49.953917 49.952988 -0.05369 41.903695 41.909802 0.35268 73.154814 73.195421 2.3449 89.693906 89.693687 -0.0126544 94.437338 94.430868 -0.373621 41.903695 41.919097 0.889433 59.069799 59.109698 2.30403 73.154814 73.139125 -0.906028 89.693906 89.742005 2.77759 52.454794 52.471614 0.971313 57.507380 57.493530 -0.799758 80.176023 80.195482 1.12367 86.257683 86.264445 0.39052 28.084713 28.122390 1.08789 44.099729 44.139380 1.14488 49.970018 49.980489 0.30235 52.454794 52.435694 -0.551485 41.903695 41.927124 0.676483 73.154814 73.170235 0.445263 89.693906 89.712622 0.540401 93.535180 93.547838 0.365485 41.903695 41.923171 0.562339 59.069799 59.150006 2.31586 73.154814 73.188544 0.973886 89.693906 89.747788 1.55577 44.190653 44.219799 0.841544 49.953917 49.956840 0.0843789 52.454794 52.453063 -0.0499775 62.447398 62.420706 -0.770693 28.084713 44.099729 49.970018 60.194200 106.150923 115.075303 129.263087 144.442056 91.607382 109.328084 132.272822 145.876573 59.069799 93.668082 117.200460 120.809426 44.190653 49.953917 62.447398 77.607235 94.437338 108.453668 130.473021 131.974652 57.507380 116.189106 112.602300 120.611446 93.535180 110.104889 119.186139 134.251543 41.903695 73.154814 89.693906 104.279112 52.454794 80.176023 86.257683 104.311232 2 39 54.96957362 -2.631374842 11.21498309 0.1453085056 1 1.359767835 -0.01796485506 -0.3020014843 1741.400399 0.2072053629 787.0780139 -0.9905159055 -1.30777248 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.321820 -0.405751 -0.785151 0.100635 -0.218649 0.434755 2.888920 2.070662 0.568223 0.496952 0.572862 0.595089 1.239898 0.735129 28.084713 28.103460 1.08263 44.099729 44.119594 1.14714 44.190653 44.205550 0.860283 49.953917 49.952988 -0.05369 41.903695 41.909802 0.35268 73.154814 73.195421 2.3449 89.693906 89.693687 -0.0126544 94.437338 94.430868 -0.373621 41.903695 41.919097 0.889433 59.069799 59.109698 2.30403 73.154814 73.139125 -0.906028 89.693906 89.742005 2.77759 52.454794 52.471614 0.971313 57.507380 57.493530 -0.799758 80.176023 80.195482 1.12367 86.257683 86.264445 0.39052 28.084713 28.122390 1.08789 44.099729 44.139380 1.14488 49.970018 49.980489 0.30235 52.454794 52.435694 -0.551485 41.903695 41.927124 0.676483 73.154814 73.170235 0.445263 89.693906 89.712622 0.540401 93.535180 93.547838 0.365485 41.903695 41.923171 0.562339 59.069799 59.150006 2.31586 73.154814 73.188544 0.973886 89.693906 89.747788 1.55577 44.190653 44.219799 0.841544 49.953917 49.956840 0.0843789 52.454794 52.453063 -0.0499775 62.447398 62.420706 -0.770693 28.084713 44.099729 49.970018 60.194200 106.150923 115.075303 129.263087 144.442056 91.607382 109.328084 132.272822 145.876573 59.069799 93.668082 117.200460 120.809426 44.190653 49.953917 62.447398 77.607235 94.437338 108.453668 130.473021 131.974652 57.507380 116.189106 112.602300 120.611446 93.535180 110.104889 119.186139 134.251543 41.903695 73.154814 89.693906 104.279112 52.454794 80.176023 86.257683 104.311232 2 31 65.18352016 -2.631374842 11.21498309 0.1921681542 1 0.9674446965 -0.06687082403 -0.266334284 1606.233894 0.1136299074 739.765914 -0.6904584972 -1.327958904 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.321820 -0.405751 -0.785151 0.100635 -0.218649 0.434755 2.888920 2.070662 0.568223 0.496952 0.572862 0.595089 1.239898 0.735129 28.084713 28.103460 1.08263 44.099729 44.119594 1.14714 44.190653 44.205550 0.860283 49.953917 49.952988 -0.05369 41.903695 41.909802 0.35268 73.154814 73.195421 2.3449 89.693906 89.693687 -0.0126544 94.437338 94.430868 -0.373621 41.903695 41.919097 0.889433 59.069799 59.109698 2.30403 73.154814 73.139125 -0.906028 89.693906 89.742005 2.77759 52.454794 52.471614 0.971313 57.507380 57.493530 -0.799758 80.176023 80.195482 1.12367 86.257683 86.264445 0.39052 28.084713 28.122390 1.08789 44.099729 44.139380 1.14488 49.970018 49.980489 0.30235 52.454794 52.435694 -0.551485 41.903695 41.927124 0.676483 73.154814 73.170235 0.445263 89.693906 89.712622 0.540401 93.535180 93.547838 0.365485 41.903695 41.923171 0.562339 59.069799 59.150006 2.31586 73.154814 73.188544 0.973886 89.693906 89.747788 1.55577 44.190653 44.219799 0.841544 49.953917 49.956840 0.0843789 52.454794 52.453063 -0.0499775 62.447398 62.420706 -0.770693 28.084713 44.099729 49.970018 60.194200 106.150923 115.075303 129.263087 144.442056 91.607382 109.328084 132.272822 145.876573 59.069799 93.668082 117.200460 120.809426 44.190653 49.953917 62.447398 77.607235 94.437338 108.453668 130.473021 131.974652 57.507380 116.189106 112.602300 120.611446 93.535180 110.104889 119.186139 134.251543 41.903695 73.154814 89.693906 104.279112 52.454794 80.176023 86.257683 104.311232 2 30 68.98173418 -2.631374842 11.21498309 0.25 1 0.7967004943 0.1403302334 -0.1762344925 1613.440091 0.01303739728 733.5195909 -1.528869551 -1.601501154 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.321820 -0.405751 -0.785151 0.100635 -0.218649 0.434755 2.888920 2.070662 0.568223 0.496952 0.572862 0.595089 1.239898 0.735129 28.084713 28.103460 1.08263 44.099729 44.119594 1.14714 44.190653 44.205550 0.860283 49.953917 49.952988 -0.05369 41.903695 41.909802 0.35268 73.154814 73.195421 2.3449 89.693906 89.693687 -0.0126544 94.437338 94.430868 -0.373621 41.903695 41.919097 0.889433 59.069799 59.109698 2.30403 73.154814 73.139125 -0.906028 89.693906 89.742005 2.77759 52.454794 52.471614 0.971313 57.507380 57.493530 -0.799758 80.176023 80.195482 1.12367 86.257683 86.264445 0.39052 28.084713 28.122390 1.08789 44.099729 44.139380 1.14488 49.970018 49.980489 0.30235 52.454794 52.435694 -0.551485 41.903695 41.927124 0.676483 73.154814 73.170235 0.445263 89.693906 89.712622 0.540401 93.535180 93.547838 0.365485 41.903695 41.923171 0.562339 59.069799 59.150006 2.31586 73.154814 73.188544 0.973886 89.693906 89.747788 1.55577 44.190653 44.219799 0.841544 49.953917 49.956840 0.0843789 52.454794 52.453063 -0.0499775 62.447398 62.420706 -0.770693 28.084713 44.099729 49.970018 60.194200 106.150923 115.075303 129.263087 144.442056 91.607382 109.328084 132.272822 145.876573 59.069799 93.668082 117.200460 120.809426 44.190653 49.953917 62.447398 77.607235 94.437338 108.453668 130.473021 131.974652 57.507380 116.189106 112.602300 120.611446 93.535180 110.104889 119.186139 134.251543 41.903695 73.154814 89.693906 104.279112 52.454794 80.176023 86.257683 104.311232