******* 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 (multi,o,state) with fractional error
  ( 5, 1,0) and ( 6, 1,0), error 0.5
  ( 5,-1,0) and ( 6,-1,0), error 0.5
  ( 7, 1,0) and ( 4,-1,0), 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 41.029356 -7.164794 8.645447
0.032492 1.000000 0.746661 0.224800 -0.130529 19.263097 0.182186 3.691868 -1.001479  2 3 4 5 6 7 8
0.180060 -0.278377 -2.268146  0.212607 -0.305409 -0.065230
0.963717 0.878584  0.497555 0.688378  0.880827 0.957874
 12.280000 12.315847 0.892850
 30.805642 30.826305 0.514662
 31.567355 31.582674 0.381551
 35.424998 35.438467 0.335460
 20.476871 20.490666 0.343601
 44.628182 44.656523 0.705887
 57.209495 57.226414 0.421407
 62.058163 62.051977 -0.154090
 20.476871 20.511362 0.859088
 30.615720 30.642452 0.665817
 44.628182 44.631964 0.094194
 57.209495 57.213725 0.105368
 35.615543 35.636440 0.520474
 40.645724 40.627690 -0.449171
 53.205122 53.221188 0.400146
 61.839138 61.839919 0.019434
 12.280000 12.351762 0.893699
 30.805642 30.845740 0.499361
 35.615543 35.587567 -0.348398
 36.191934 36.209346 0.216844
 20.476871 20.513291 0.453558
 44.628182 44.652332 0.300749
 57.209495 57.223791 0.178036
 61.469118 61.474411 0.065919
 20.476871 20.537008 0.748923
 30.615720 30.669234 0.666441
 44.628182 44.668242 0.498885
 57.209495 57.237321 0.346539
 31.567355 31.599261 0.397350
 35.424998 35.451791 0.333662
 35.615543 35.627065 0.143495
 43.300117 43.272454 -0.344500
12.280000 30.805642 36.191934 42.937216 
72.660455 75.863718 93.954374 95.527000 
67.056126 129.331363 108.771503 125.492216 
30.615720 62.560168 83.307247 129.402829 
31.567355 35.424998 43.300117 52.699516 
62.058163 72.873200 88.011409 93.693968 
40.645724 76.291468 108.881249 125.294070 
61.469118 92.952002 93.394983 106.465461 
20.476871 44.628182 57.209495 68.539233 
35.615543 53.205122 61.839138 68.457330