******* Eigenvalues for the 3+1 transverse lattice ******* Couplings: m^2, G^2 N, t/a^2, la_1/a^2, la_2/a^2 0 1 2 3 4 la_3/a^2, la_4/a^2, la_5/a^2, tau 5 6 7 8 Use chi^2 fit with 40 criteria and tolerance 0.01. Overall scale from minimizing chi^2. 4 parity doublets with fractional error 0.5 0.5 0.5 0.5. Spectrum for P_perp a = (0,0), ( 0.25 0) using (# states, multiplet, o, c^2 error for each) = (4, 9 & 8, 1 & -1, 0.25 2 2 2) (4, 8 & 9, 1 & -1, 0.25 2 2 2) (4, 7 & 10, 1 & -1, 0.25 2 2 2) (4, 10 & 7, 1 & -1, 0.25 2 2 2) Spectrum for P_perp a = (0,0), ( 0.25 0.25) using (# states, multiplet, o, c^2 error for each) = (4, 11 & 12, 1 & -1, 0.25 2 2 2) (4, 12 & 11, 1 & -1, 0.25 2 2 2) (4, 14 & 13, 1 & -1, 0.25 2 2 2) (4, 13 & 14, 1 & -1, 0.25 2 2 2). Ordinary spectra multiplets, 4 states, (o,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) = (16/2,8) (16/2,6) (20/2,6) (26/2,6) . Winding potential using (n,K,p) = ( 2 0,20/2,4) ( 2 0,20/2,6) ( 2 0,24/2,4) ( 2 0,32/2,4) ( 3 0,19/2,5) ( 3 0,19/2,7) ( 3 0,25/2,5) ( 3 0,33/2,5) ( 4 0,18/2,6) ( 4 0,18/2,8) ( 4 0,24/2,6) ( 4 0,32/2,6) . Roundness of winding using n = (2,2) and (K,p) = (16/2,6) (16/2,8) (24/2,6) (28/2,6) with error 0.3 (in G^2 N^2 units). Heavy potential determined using (n,K,p,K_max) = ( 0 0,-34/2,2,4) ( 0 0,-34/2,4,4) ( 0 0,-34/2,2,5) ( 0 0,-40/2,2,4) ( 0 0,-50/2,2,5) ( 0 0,-60/2,2,4) ( 0 0,-60/2,2,6) , L = 3 4 6 (all in G^2 N^2 units); with relative error=0.25. Roundness determined using (n,K,p,K_max) = ( 1 0,-17/2,3,4) ( 1 0,-17/2,5,4) ( 1 0,-17/2,3,5) ( 1 0,-33/2,3,4) ( 1 0,-33/2,3,5) ( 1 0,-55/2,3,4) ( 1 0,-55/2,3,6) , L=3 and error 0.3 ( 1 1,-30/2,2,4) ( 1 1,-30/2,4,4) ( 1 1,-30/2,2,5) ( 1 1,-40/2,2,4) ( 1 1,-50/2,2,5) ( 1 1,-60/2,2,4) ( 1 1,-60/2,2,6) , with L=3 and error 0.3 (all in G^2 N^2 units). p-extrapolation using n=( 1 0) and (K,p) = (13/2,3) (35/2,3) (13/2,5) (29/2,5) (13/2,7) (17/2,7) . Result format: fit info, # steps, chi^2, and p damping, scale g^2 N/(a^2 sigma); the 9 couplings (G^2 N units) and which--if any--were fit; winding and longitudinal string tension fits; the n=(2,2) winding eigenvalue and the n=(1,0) (1,1) longitudinal eigenvalues (G^2 N units) showing measured value and derived value for each. In each direction, the spectra for each P_perp*a and c^2 values. Finally come the states for the ordinary spectra. -64 9 115.246722 -2.023672 4.725544 0.032492 1.000000 0.753362 0.173911 -0.119360 18.711326 0.168729 4.412674 -3.177946 2 3 4 5 6 7 8 0.191790 -1.054584 0.745597 0.194993 -2.299735 -0.718375 0.710626 0.572934 -1.781134 -1.786180 -0.979534 -1.653896 4.669812 4.691904 0.320353 14.793361 14.800944 0.109969 15.333438 15.333322 -0.001674 16.700871 17.348077 9.385127 11.338382 11.346452 0.117028 22.875603 22.892481 0.244743 28.493533 28.506270 0.184694 31.572741 31.567558 -0.075152 11.338382 11.354852 0.238830 14.554581 14.578608 0.348415 22.875603 22.871603 -0.058013 28.493533 28.501114 0.109924 16.700871 16.713343 0.180860 19.103200 19.097596 -0.081263 26.660665 26.669598 0.129534 30.273588 30.280610 0.101840 4.669812 4.714009 0.320448 14.793361 14.808636 0.110754 16.700871 16.705926 0.036656 17.338500 17.357853 0.140325 11.338382 11.360328 0.159119 22.875603 22.887606 0.087025 28.493533 28.499924 0.046333 31.166951 31.188400 0.155514 11.338382 11.365541 0.196917 14.554581 14.602617 0.348288 22.875603 22.889379 0.099881 28.493533 28.527650 0.247364 15.333438 15.333681 0.001765 16.700871 16.702583 0.012413 17.827718 17.880307 0.381300 19.383090 19.381773 -0.009552 4.669812 14.793361 17.338500 19.213209 37.253649 37.915199 48.951433 48.208908 33.400884 50.599784 51.990650 58.493317 14.554581 31.204959 36.422933 53.472272 15.333438 17.827718 19.383090 25.822879 31.572741 36.937608 45.611858 47.970709 19.103200 39.521780 35.879677 61.698866 31.166951 36.988935 45.712768 51.900107 11.338382 22.875603 28.493533 37.199611 16.700871 26.660665 30.273588 34.059631