******* 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 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 20 44.327590 -1.088227 6.658218
0.076429 1.000000 0.720115 -0.036097 -0.119606 15.214119 0.024745 4.329032 -2.893481  2 3 4 5 6 7 8
0.321139 -0.729584 -0.026882  0.195386 -1.904888 -0.833130
2.582385 1.836165  -1.341261 -1.135871  -0.608075 -0.844919
 12.280000 12.323372 1.483830
 28.192383 28.229525 1.270676
 29.748016 29.693314 -1.871436
 31.248414 31.286274 1.295242
 23.623260 23.634975 0.400757
 44.879874 44.899289 0.664235
 54.679435 54.688504 0.310268
 56.343715 56.349644 0.202840
 23.623260 23.646173 0.783865
 32.657033 32.678818 0.745272
 44.879874 44.883675 0.130066
 54.679435 54.649907 -1.010214
 32.110946 32.127674 0.572272
 35.609269 35.599386 -0.338132
 48.858448 48.881027 0.772465
 55.165096 55.135859 -1.000264
 12.280000 12.366735 1.483658
 29.748016 29.637565 -1.889341
 32.110946 32.291718 3.092231
 33.662606 33.652112 -0.179506
 23.623260 23.655856 0.557578
 44.879874 44.905767 0.442931
 54.679435 54.660237 -0.328397
 58.642254 58.739683 1.666592
 23.623260 23.659895 0.626654
 32.657033 32.700608 0.745369
 44.879874 44.900487 0.352615
 54.679435 54.658988 -0.349768
 28.192383 28.265780 1.255510
 31.248414 31.326879 1.342194
 32.110946 32.048620 -1.066127
 33.430123 33.504777 1.276997
12.280000 29.748016 33.780901 33.662606 
66.202993 68.827673 84.577227 82.995238 
58.231168 87.495051 88.149367 88.596954 
32.657033 56.792281 70.792381 82.038754 
28.192383 31.248414 33.430123 48.540213 
56.343715 67.825161 79.357992 83.356829 
35.609269 70.785648 69.400046 93.327503 
58.642254 74.102311 73.081811 92.392935 
23.623260 44.879874 54.679435 60.852548 
32.110946 48.858448 55.165096 61.723699 

2 19 38.548462 -1.066650 5.991685
0.107240 1.000000 0.865872 -0.032739 -0.173140 14.019979 0.060765 2.964501 -2.302870  2 3 4 5 6 7 8
0.335778 -0.678549 -0.321637  0.190663 -1.069489 -0.690517
2.770167 1.967472  -0.481474 -0.345116  0.112968 -0.092411
 12.280000 12.325557 1.466467
 27.167788 27.197772 0.965208
 29.315999 29.311754 -0.136647
 29.848420 29.863001 0.469368
 22.225755 22.237122 0.365904
 42.545490 42.562551 0.549172
 52.687485 52.713981 0.852898
 53.671035 53.681615 0.340574
 22.225755 22.247255 0.692079
 32.539149 32.562016 0.736062
 42.545490 42.553178 0.247473
 52.687485 52.681590 -0.189773
 31.859336 31.877901 0.597609
 35.714632 35.704119 -0.338423
 46.907601 46.929885 0.717341
 52.450119 52.433151 -0.546186
 12.280000 12.371110 1.466419
 29.315999 29.304656 -0.182553
 30.410163 30.366879 -0.696644
 31.859336 31.929516 1.129546
 22.225755 22.254630 0.464728
 42.545490 42.571382 0.416730
 52.687485 52.690213 0.043900
 55.066676 55.063582 -0.049791
 22.225755 22.262602 0.593039
 32.539149 32.584891 0.736208
 42.545490 42.569140 0.380646
 52.687485 52.726603 0.629591
 27.167788 27.227851 0.966728
 29.848420 29.880563 0.517342
 31.859336 31.817490 -0.673515
 33.493899 33.533981 0.645123
12.280000 30.410163 29.315999 33.620395 
62.588976 64.957180 78.973644 77.377263 
56.187370 76.576603 95.224646 86.784465 
32.539149 54.638629 68.575720 69.080395 
27.167788 29.848420 33.493899 45.839424 
53.671035 63.848816 74.778964 78.049708 
35.714632 66.806089 69.504284 81.638614 
55.715839 71.522052 71.414523 86.126184 
22.225755 42.545490 52.687485 55.066676 
31.859336 46.907601 52.450119 59.124557