******* 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 fractional error
  ( 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 18 72.043575 -7.882988 9.462014
0.032492 1.000000 0.735724 0.204178 -0.125484 17.996845 0.206499 1.955527 -2.454227  2 3 4 5 6 7 8
0.191852 -0.357182 -1.733854  0.193432 -1.415789 -0.529783
1.296047 0.960904  -0.844453 -0.529681  -0.211952 -0.222636
 15.966600 16.005520 1.130410
 33.678625 33.703308 0.716931
 34.834429 34.851613 0.499098
 40.142054 40.230463 2.567841
 23.675369 23.689735 0.417258
 51.270203 51.302894 0.949501
 63.798329 63.815331 0.493822
 69.673874 69.667983 -0.171083
 23.675369 23.708324 0.957176
 35.907809 35.935257 0.797215
 51.270203 51.277595 0.214697
 63.798329 63.802833 0.130836
 40.142054 40.163740 0.629875
 45.288378 45.270383 -0.522661
 60.607954 60.625372 0.505908
 68.264613 68.265557 0.027405
 15.966600 16.044496 1.131233
 33.678625 33.722545 0.637831
 40.142054 40.121164 -0.303370
 40.296528 40.312237 0.228120
 23.675369 23.707999 0.473857
 51.270203 51.300462 0.439434
 63.798329 63.815923 0.255519
 69.730067 69.733727 0.053154
 23.675369 23.737395 0.900759
 35.907809 35.962742 0.797757
 51.270203 51.319988 0.722994
 63.798329 63.823479 0.365240
 34.834429 34.874304 0.579074
 40.142054 40.151285 0.134055
 40.228371 40.232897 0.065724
 47.262386 47.235642 -0.388390
15.966600 33.678625 40.296528 46.577018 
80.135512 84.949560 103.521795 106.327478 
74.200297 141.714726 119.111062 140.694818 
35.907809 70.033652 92.578707 143.166939 
34.834429 40.228371 47.262386 59.171234 
69.673874 80.900248 98.822509 103.604717 
45.288378 86.254431 117.565111 140.366190 
69.730067 103.465702 101.376773 120.104204 
23.675369 51.270203 63.798329 76.098604 
40.142054 60.607954 68.264613 75.968799