******* 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 2 (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 0.5
  ( 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 0.5 (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);
   which couplings -- 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 18 214.6992611 -1.011983654 11.91988492
0.03249196962 1 0.5952999719 -0.06395697839 -0.1917686539 106.7115719 0.09536555947 32.38949973 -1.420955183 
 2 3 4 5 6 7 8
0.202344 -0.861983 0.474836  0.199446 -0.659332 -0.409950
1.571836 0.816127  0.011812 0.499358  0.439957 0.916824
 12.280000 12.356176 2.939700
 21.947077 21.996482 1.906576
 24.004192 24.041879 1.454361
 39.231593 39.157699 -2.851611
 34.708985 34.749960 1.581254
 64.590504 64.631746 1.591543
 71.427109 71.479427 2.018999
 80.131865 80.136995 0.197957
 34.708985 34.744077 1.354212
 45.184491 45.225299 1.574785
 64.590504 64.617081 1.025607
 71.427109 71.440992 0.535737
 39.231593 39.274431 1.653172
 48.353418 48.334049 -0.747477
 71.449556 71.496605 1.815675
 72.603420 72.608799 0.207570
 12.280000 12.432362 2.939881
 24.004192 24.080665 1.475565
 39.231593 39.154903 -1.479750
 41.865874 41.811795 -1.043466
 34.708985 34.782454 1.417613
 64.590504 64.647771 1.104977
 71.427109 71.477414 0.970641
 88.530239 88.522693 -0.145610
 34.708985 34.787723 1.519281
 45.184491 45.266135 1.575341
 64.590504 64.668671 1.508262
 71.427109 71.509150 1.583005
 21.947077 22.044805 1.885704
 39.231593 39.246789 0.293218
 41.977091 41.921043 -1.081481
 57.556956 57.586597 0.571931
12.280000 24.004192 41.865874 51.544163 
95.550077 97.210790 124.996930 120.925691 
85.529132 117.551081 121.547569 147.307731 
45.184491 83.822931 94.066159 136.714680 
21.947077 41.977091 57.556956 63.471561 
80.131865 95.391300 121.193279 125.910887 
48.353418 100.607824 109.877957 135.459302 
88.530239 110.565062 123.486953 113.672093 
34.708985 64.590504 71.427109 98.234125 
39.231593 71.449556 72.603420 88.832553 

2 35 25.08490018 -1.257136279 8.053832134
0.0517766953 1 0.7462521491 -0.07683359926 -0.1661502379 9.683396469 0.1730499815 1.838744848 -3.975801902 
 2 3 4 5 6 7 8
0.228262 -0.792787 0.257031  0.207126 -3.479268 -0.973106
1.965590 1.065436  -2.922544 -2.668111  -1.821218 -2.348817
 12.280000 12.322016 1.235853
 18.555690 18.583044 0.804596
 18.820089 18.849975 0.879052
 29.279249 29.318736 1.161480
 24.772654 24.793266 0.606272
 47.166357 47.195158 0.847153
 52.174489 52.203578 0.855632
 59.013191 59.011503 -0.049653
 24.772654 24.795788 0.680474
 35.421942 35.451996 0.884035
 47.166357 47.180205 0.407336
 52.174489 52.186727 0.359980
 29.942521 29.969303 0.787775
 35.521993 35.507160 -0.436298
 51.429786 51.438675 0.261462
 52.767173 52.792403 0.742124
 12.280000 12.364070 1.236428
 18.820089 18.877851 0.849502
 29.279249 29.271825 -0.109186
 29.942521 29.939959 -0.037675
 24.772654 24.807194 0.507973
 47.166357 47.200499 0.502131
 52.174489 52.205333 0.453626
 63.074510 63.079848 0.078494
 24.772654 24.825652 0.779437
 35.421942 35.482069 0.884296
 47.166357 47.217361 0.750115
 52.174489 52.226018 0.757853
 18.555690 18.612417 0.834281
 29.921142 29.929313 0.120173
 29.942521 29.982201 0.583579
 33.686336 33.718760 0.476864
12.280000 18.820089 29.279249 34.019142 
67.758804 70.110394 88.300343 88.882369 
60.290859 90.446262 89.266386 110.507973 
35.421942 60.130558 74.505120 98.241016 
18.555690 33.686336 29.921142 46.714472 
59.013191 67.459772 87.092964 89.327093 
35.521993 78.315152 73.097879 104.517000 
63.074510 72.425415 85.769702 97.466121 
24.772654 47.166357 52.174489 68.751520 
29.942521 52.767173 51.429786 64.823737 

2 36 26.6224063 -1.135280366 6.606793434
0.07642881742 1 0.7725601285 -0.02530601636 -0.1807812929 14.59228927 0.0864138476 3.910197103 -2.759343911 
 2 3 4 5 6 7 8
0.291417 -0.736109 -0.032612  0.193042 -1.702954 -0.803161
2.408420 1.591149  -1.150407 -0.975616  -0.442573 -0.706925
 12.280000 12.325631 1.405661
 25.247830 25.279580 0.978081
 26.730690 26.728009 -0.082597
 30.252862 30.308375 1.710091
 22.702820 22.717240 0.444216
 43.671475 43.690823 0.596023
 51.488386 51.508254 0.612063
 54.804662 54.810962 0.194061
 22.702820 22.724871 0.679283
 32.352724 32.376765 0.740594
 43.671475 43.680386 0.274510
 51.488386 51.486293 -0.064453
 31.195072 31.216155 0.649457
 35.603330 35.592007 -0.348809
 48.228493 48.251360 0.704420
 52.740826 52.736179 -0.143149
 12.280000 12.371259 1.405626
 26.730690 26.725007 -0.087545
 31.195072 31.219988 0.383766
 31.780123 31.790491 0.159693
 22.702820 22.734937 0.494695
 43.671475 43.700341 0.444607
 51.488386 51.496323 0.122256
 57.579946 57.624484 0.686006
 22.702820 22.743642 0.628777
 32.352724 32.400817 0.740760
 43.671475 43.699166 0.426508
 51.488386 51.516088 0.426692
 25.247830 25.311268 0.977124
 30.252862 30.362708 1.691922
 31.195072 31.176175 -0.291076
 33.095773 33.101056 0.081372
12.280000 26.730690 31.780123 33.238792 
64.928477 65.091443 82.131444 80.123838 
57.571637 86.411754 87.044045 87.361589 
32.352724 55.943424 70.062025 78.957385 
25.247830 30.252862 33.095773 46.084587 
54.804662 64.808390 77.889860 81.085490 
35.603330 69.721029 68.531058 93.808867 
57.579946 71.555979 71.264464 92.317010 
22.702820 43.671475 51.488386 59.672728 
31.195072 48.228493 52.740826 59.967202 

2 10 31.11857273 -1.068662756 5.974785516
0.1072401379 1 0.865872 -0.032739 -0.17314 14.019979 0.060765 2.964501 -2.30287 
 2 3 4 5 6 7 8
0.335848 -0.677618 -0.322524  0.190705 -1.069427 -0.689674
2.774340 1.968854  -0.481026 -0.346273  0.113954 -0.094369
 12.280000 12.325380 1.456970
 27.109739 27.139317 0.949621
 29.232153 29.227567 -0.147236
 29.786501 29.800891 0.461990
 22.168453 22.179778 0.363581
 42.448389 42.465392 0.545915
 52.550511 52.576985 0.849983
 53.538339 53.548695 0.332510
 22.168453 22.189867 0.687496
 32.468506 32.491288 0.731411
 42.448389 42.456048 0.245916
 52.550511 52.544861 -0.181389
 31.784398 31.802901 0.594080
 35.628228 35.617740 -0.336709
 46.799522 46.821714 0.712504
 52.312607 52.295826 -0.538773
 12.280000 12.370757 1.456924
 29.232153 29.220364 -0.189239
 30.330223 30.288464 -0.670365
 31.784398 31.853469 1.108803
 22.168453 22.197189 0.461289
 42.448389 42.474188 0.414154
 52.550511 52.553505 0.048075
 54.916143 54.912957 -0.051147
 22.168453 22.205181 0.589584
 32.468506 32.514077 0.731548
 42.448389 42.471960 0.378391
 52.550511 52.589800 0.630714
 27.109739 27.169003 0.951362
 29.786501 29.818064 0.506683
 31.784398 31.742864 -0.666736
 33.410904 33.450564 0.636660
12.280000 30.330223 29.232153 33.536065 
62.439437 64.771232 78.771170 77.164308 
56.041786 76.383687 94.977794 86.566626 
32.468506 54.500461 68.405292 68.931235 
27.109739 29.786501 33.410904 45.724677 
53.538339 63.676772 74.588778 77.843100 
35.628228 66.639128 69.350127 81.393463 
55.579005 71.340071 71.240050 85.885631 
22.168453 42.448389 52.550511 54.916143 
31.784398 46.799522 52.312607 58.968344