******* 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 27 34.222176 -1.231009 8.702995
0.051777 1.000000 0.753605 -0.074915 -0.129498 8.761026 0.162908 1.900111 -1.342672  2 3 4 5 6 7 8
0.241296 -0.802439 0.231298  0.201708 -0.470039 -0.336235
1.896202 1.156840  0.233504 0.519033  0.679007 0.841520
 12.280000 12.321473 1.393477
 22.833404 22.854984 0.725071
 23.228740 23.251404 0.761498
 31.060945 31.071841 0.366107
 26.721078 26.739124 0.606348
 50.526212 50.555546 0.985612
 57.679974 57.708042 0.943077
 63.931906 63.925516 -0.214713
 26.721078 26.748684 0.927567
 37.507592 37.541275 1.131742
 50.526212 50.529940 0.125249
 57.679974 57.696146 0.543361
 32.204185 32.230005 0.867538
 37.597898 37.582796 -0.507442
 56.292652 56.316692 0.807743
 56.562052 56.571715 0.324658
 12.280000 12.362982 1.394097
 23.228740 23.273436 0.750883
 31.060945 31.049669 -0.189424
 32.204185 32.340236 2.285656
 26.721078 26.757441 0.610889
 50.526212 50.555217 0.487294
 57.679974 57.706417 0.444235
 67.012200 67.030267 0.303535
 26.721078 26.776049 0.923506
 37.507592 37.574972 1.131971
 50.526212 50.563267 0.622518
 57.679974 57.741578 1.034945
 22.833404 22.877150 0.734927
 31.132019 31.124067 -0.133587
 32.204185 32.195737 -0.141929
 34.178001 34.359603 3.050907
12.280000 23.228740 31.060945 36.435116 
74.154528 75.935346 96.377975 96.105066 
64.350112 97.546293 96.830372 116.924981 
37.507592 64.234277 79.386945 105.476716 
22.833404 34.178001 31.132019 50.907774 
63.931906 73.664968 94.223865 96.418672 
37.597898 83.518242 77.776951 112.001245 
67.012200 78.255620 91.196150 105.664444 
26.721078 50.526212 57.679974 74.249046 
32.204185 56.292652 56.562052 69.859705