******* 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 43 43.934767 -1.237609 8.002241
0.032492 1.000000 0.559433 -0.057116 -0.217486 18.311338 0.107185 2.736781 -1.135574  2 3 4 5 6 7 8
0.201321 -0.792730 0.439533  0.207291 -0.451582 -0.222521
1.968895 0.872781  0.310506 0.470744  0.747347 0.733238
 12.280000 12.329510 1.276192
 14.811283 14.850506 1.011019
 15.423571 15.458046 0.888635
 28.448689 28.394247 -1.403322
 24.089685 24.119876 0.778227
 46.128299 46.158444 0.777005
 48.950781 48.986319 0.916048
 55.840344 55.845682 0.137604
 24.089685 24.108241 0.478309
 32.846277 32.869114 0.588644
 46.128299 46.154706 0.680654
 48.950781 48.957639 0.176772
 28.448689 28.475462 0.690098
 34.791742 34.779383 -0.318584
 49.526822 49.540546 0.353751
 51.384023 51.404874 0.537458
 12.280000 12.379073 1.276875
 15.423571 15.494964 0.920119
 28.448689 28.376862 -0.925728
 30.792918 30.702520 -1.165063
 24.089685 24.134266 0.574570
 46.128299 46.170239 0.540525
 48.950781 48.991797 0.528624
 62.734830 62.711495 -0.300736
 24.089685 24.142660 0.682748
 32.846277 32.891973 0.588931
 46.128299 46.199250 0.914420
 48.950781 48.994555 0.564169
 14.811283 14.887244 0.978992
 28.448689 28.466224 0.225986
 30.924486 30.839594 -1.094091
 37.349044 37.401614 0.677532
12.280000 15.423571 30.792918 34.152482 
65.038896 67.415688 84.829432 83.669772 
59.958612 82.472596 86.236725 100.533672 
32.846277 58.831802 68.286664 94.382290 
14.811283 30.924486 37.349044 44.802711 
55.840344 65.262951 83.685689 86.575013 
34.791742 72.642574 75.746979 94.310152 
62.734830 78.773261 82.611893 80.481073 
24.089685 46.128299 48.950781 66.798519 
28.448689 51.384023 49.526822 61.605969