******* 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 minimizing chi^2.
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 2 (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 0.5
  ( 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 0.5 (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);
   which couplings -- 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 43 29.5713043 -1.040440368 7.452243389
0.03249196962 1 0.5717631245 -0.003914714111 -0.1394958338 12.37934135 0.03838620851 1.943236986 -2.000104116 
 2 3 4 5 6 7 8
0.239730 -0.868007 0.457572  0.197221 -1.229206 -0.566625
1.646651 1.107033  -0.605826 -0.417537  -0.089326 -0.146949
 8.344614 8.392850 1.378786
 21.982119 21.999669 0.501666
 24.212192 24.183181 -0.829270
 27.794270 27.809609 0.438449
 22.231834 22.250285 0.527387
 41.745933 41.769811 0.682540
 50.166587 50.187276 0.591394
 53.009253 53.011050 0.051375
 22.231834 22.257204 0.725165
 27.818963 27.843418 0.699026
 41.745933 41.751657 0.163635
 50.166587 50.158576 -0.228965
 27.794270 27.815653 0.611223
 32.097129 32.086975 -0.290260
 45.745461 45.770902 0.727208
 51.518086 51.507102 -0.313977
 8.344614 8.441067 1.378519
 24.212192 24.154500 -0.824546
 27.794270 27.859476 0.931940
 30.837295 30.848834 0.164906
 22.231834 22.276309 0.635641
 41.745933 41.777726 0.454395
 50.166587 50.165069 -0.021683
 56.166509 56.198274 0.453993
 22.231834 22.274988 0.616764
 27.818963 27.867878 0.699103
 41.745933 41.773422 0.392888
 50.166587 50.193752 0.388255
 21.982119 22.017914 0.511592
 27.794270 27.803015 0.124986
 30.944405 30.973336 0.413499
 32.983659 32.976301 -0.105162
8.344614 24.212192 30.837295 31.547660 
64.409487 64.320291 83.348381 81.206831 
56.130498 77.440543 78.600269 101.323941 
27.818963 54.029371 60.408279 84.519096 
21.982119 32.983659 30.944405 44.416862 
53.009253 64.556231 77.344423 81.598955 
32.097129 64.572108 72.995108 84.177940 
56.166509 68.175409 78.983756 76.757316 
22.231834 41.745933 50.166587 62.229778 
27.794270 45.745461 51.518086 58.121237 

2 35 27.91258728 -1.690448533 8.471458155
0.0517766953 1 0.8152847877 0.03697615033 -0.104423526 12.3922962 0.1979842633 0.8424370754 -1.252796092 
 2 3 4 5 6 7 8
0.242743 -0.825031 0.238095  0.207609 -0.401342 -0.201894
1.732533 1.146673  0.364253 0.626508  0.805742 0.942798
 13.953515 13.989433 1.181788
 29.366708 29.398733 1.053717
 29.805731 29.817276 0.379864
 34.229658 34.260109 1.001889
 24.880567 24.893324 0.419710
 49.010566 49.039326 0.946292
 58.106179 58.129220 0.758099
 63.957003 63.947931 -0.298507
 24.880567 24.908490 0.918712
 35.444291 35.480299 1.184732
 49.010566 49.006494 -0.133973
 58.106179 58.123635 0.574338
 34.229658 34.250814 0.696061
 38.684301 38.672076 -0.402236
 55.849546 55.863888 0.471853
 58.682128 58.698590 0.541629
 13.953515 14.025378 1.182223
 29.805731 29.848869 0.709667
 34.229658 34.209933 -0.324511
 34.229703 34.284755 0.905660
 24.880567 24.909909 0.482698
 49.010566 49.033144 0.371432
 58.106179 58.126425 0.333067
 64.557014 64.589761 0.538722
 24.880567 24.932605 0.856073
 35.444291 35.516312 1.184820
 49.010566 49.037346 0.440568
 58.106179 58.166334 0.989623
 29.366708 29.410789 0.725190
 34.229658 34.254184 0.403466
 35.059098 35.017041 -0.691889
 37.658747 37.676530 0.292551
13.953515 29.805731 34.229703 34.701725 
73.601147 75.544679 95.105784 94.600256 
64.739125 100.180254 102.086852 106.787654 
35.444291 63.105028 79.782131 96.244553 
29.366708 37.658747 35.059098 52.145213 
63.957003 73.078342 92.030552 93.970691 
38.684301 80.621223 77.885283 113.815942 
64.557014 79.505918 80.707414 111.170252 
24.880567 49.010566 58.106179 71.657014 
34.229658 55.849546 58.682128 68.426199