******* 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 39 criteria and tolerance 0.01.
Overall scale from fitting lowest state to lattice value.
Parity doublets (o,multi,state) with error for difference
  over average.
  ( 1, 5,0) and ( 1, 6,0), error 0.5
  (-1, 5,0) and (-1, 6,0), error 0.5
  ( 1, 7,0) and (-1, 4,0), error 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.

2 26 49.027273 -1.187315 8.590037
0.032492 1.000000 0.547761 -0.064053 -0.226975 9.038719 0.102019 2.016026 -1.291563  2 3 4 5 6 7 8
0.196901 -0.800449 0.461107  0.203858 -0.567357 -0.314045
1.968212 0.832401  0.151662 0.356751  0.609551 0.639365
 12.280000 12.334236 1.467743
 14.106709 14.155117 1.310035
 15.636203 15.678329 1.140015
 30.134089 30.138153 0.109967
 25.862181 25.896921 0.940152
 49.353898 49.387109 0.898772
 51.849374 51.888218 1.051201
 59.458358 59.465400 0.190578
 25.862181 25.881438 0.521134
 35.214265 35.238248 0.649026
 49.353898 49.384265 0.821806
 51.849374 51.856285 0.187023
 30.134089 30.163112 0.785424
 37.186106 37.173062 -0.353006
 52.731333 52.767682 0.983664
 54.651841 54.652821 0.026528
 12.280000 12.388918 1.473789
 15.636203 15.718755 1.117019
 30.134089 30.055715 -1.060499
 33.328270 33.235918 -1.249621
 25.862181 25.912399 0.679500
 49.353898 49.400089 0.625024
 51.849374 51.895512 0.624299
 67.450358 67.420057 -0.409998
 25.862181 25.920029 0.782740
 35.214265 35.262256 0.649366
 49.353898 49.434651 1.092677
 51.849374 51.894744 0.613916
 14.106709 14.204686 1.325735
 30.134089 30.185742 0.698915
 33.285592 33.258467 -0.367038
 33.990293 34.081565 1.235019
12.280000 15.636203 33.328270 34.950719 
69.350624 71.942209 90.546937 88.702525 
64.231253 87.964935 93.245778 105.419131 
35.214265 63.069678 72.853960 101.168570 
14.106709 33.990293 33.285592 47.573814 
59.458358 69.627266 89.388860 92.754190 
37.186106 77.445809 81.839347 99.909349 
67.450358 84.054402 88.721015 86.178552 
25.862181 49.353898 51.849374 71.640840 
30.134089 54.651841 52.731333 65.915720 

2 27 33.969014 -1.257205 8.320306
0.051777 1.000000 0.752978 -0.075866 -0.128420 8.689241 0.162453 1.897946 -1.298295  2 3 4 5 6 7 8
0.243520 -0.791199 0.222022  0.203211 -0.445261 -0.307105
1.959011 1.184716  0.274750 0.527696  0.719576 0.835896
 12.280000 12.319068 1.266541
 22.082529 22.103665 0.685194
 22.441525 22.463269 0.704901
 29.958813 29.966005 0.233174
 25.725488 25.742580 0.554097
 48.766748 48.794723 0.906887
 55.516696 55.543303 0.862555
 61.501307 61.495181 -0.198588
 25.725488 25.751417 0.840596
 36.231289 36.262759 1.020228
 48.766748 48.770616 0.125370
 55.516696 55.531916 0.493428
 31.103609 31.127959 0.789385
 36.205277 36.190881 -0.466689
 54.249147 54.272022 0.741593
 54.389877 54.398943 0.293902
 12.280000 12.358172 1.267121
 22.441525 22.484405 0.695048
 29.958813 29.947688 -0.180320
 31.103609 31.317807 3.472010
 25.725488 25.759443 0.550393
 48.766748 48.794548 0.450604
 55.516696 55.542005 0.410248
 64.527076 64.543927 0.273145
 25.725488 25.777602 0.844739
 36.231289 36.294243 1.020441
 48.766748 48.802565 0.580558
 55.516696 55.574628 0.939046
 22.082529 22.125335 0.693852
 30.016232 30.007888 -0.135237
 31.103609 31.095718 -0.127897
 32.778470 32.951207 2.799957
12.280000 22.441525 29.958813 34.989109 
71.208712 73.006852 92.454105 92.340925 
61.821241 93.742535 92.890679 112.720315 
36.231289 61.766274 76.568558 101.184991 
22.082529 32.778470 30.016232 49.109928 
61.501307 70.775181 90.500331 92.570360 
36.205277 80.337045 75.087595 107.217151 
64.527076 75.495531 87.181385 101.604100 
25.725488 48.766748 55.516696 71.161908 
31.103609 54.249147 54.389877 67.119699