******* 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 minimizing chi^2.
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 1 (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=0.1.
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 10 43.46601778 -0.9381738408 6.889843571
0.03249196962 1 0.595102 -0.069389 -0.207835 19.861147 0.098758 3.50827 -1.896179 
 2 3 4 5 6 7 8
0.190481 -0.894130 0.520561  0.195719 -1.146890 -0.607655
1.439883 0.694787  -0.543335 -0.458614  -0.043657 -0.245083
 5.751813 5.798923 0.989220
 10.550936 10.583086 0.675076
 11.974594 12.000034 0.534188
 21.718675 21.672473 -0.970145
 19.699819 19.726124 0.552345
 36.392047 36.416812 0.520023
 39.758296 39.790457 0.675320
 45.170719 45.175219 0.094496
 19.699819 19.720046 0.424715
 25.524905 25.549508 0.516614
 36.392047 36.410316 0.383636
 39.758296 39.766213 0.166228
 21.718675 21.745077 0.554386
 27.365048 27.354000 -0.231970
 40.450063 40.450691 0.013203
 40.502097 40.533404 0.657398
 5.751813 5.846057 0.989472
 11.974594 12.025786 0.537469
 21.718675 21.668150 -0.530464
 23.452212 23.412860 -0.413158
 19.699819 19.745468 0.479266
 36.392047 36.427113 0.368170
 39.758296 39.790505 0.338164
 50.490507 50.481791 -0.091508
 19.699819 19.747288 0.498374
 25.524905 25.574130 0.516819
 36.392047 36.442901 0.533928
 39.758296 39.806233 0.503294
 10.550936 10.614925 0.671827
 21.718675 21.730093 0.119874
 23.578008 23.532988 -0.472661
 31.762494 31.793595 0.326537
5.751813 11.974594 23.452212 28.702036 
54.005284 55.023239 70.950993 67.281118 
48.758468 66.480057 69.327628 83.060575 
25.524905 47.748324 52.844520 78.509920 
10.550936 23.578008 31.762494 35.300595 
45.170719 53.907958 68.987451 71.734662 
27.365048 56.828422 62.917900 76.525656 
50.490507 63.095628 70.142883 64.473695 
19.699819 36.392047 39.758296 56.349286 
21.718675 40.502097 40.450063 50.171088 

2 18 39.95564205 -1.146457861 7.045590491
0.0517766953 1 0.7600654641 -0.07446244723 -0.1447525734 8.45577568 0.1561402525 1.801590249 -2.406185926 
 2 3 4 5 6 7 8
0.235145 -0.827401 0.257183  0.192218 -1.452998 -0.734425
1.774289 1.085909  -0.907147 -0.740564  -0.279855 -0.488931
 8.865940 8.903098 0.984975
 17.569938 17.589814 0.526879
 18.123622 18.142430 0.498565
 25.105151 25.112338 0.190516
 21.403132 21.419140 0.424337
 40.221083 40.244829 0.629450
 45.956860 45.980995 0.639769
 51.056738 51.053105 -0.096309
 21.403132 21.426131 0.609650
 29.755546 29.783787 0.748609
 40.221083 40.225725 0.123036
 45.956860 45.969353 0.331148
 25.580098 25.602609 0.596720
 30.215740 30.203164 -0.333345
 44.911012 44.932548 0.570869
 45.348422 45.355229 0.180448
 8.865940 8.940280 0.985291
 18.123622 18.160674 0.491085
 25.105151 25.119925 0.195817
 25.580098 25.573443 -0.088202
 21.403132 21.435487 0.428841
 40.221083 40.246178 0.332608
 45.956860 45.979133 0.295199
 53.757580 53.771050 0.178538
 21.403132 21.448815 0.605483
 29.755546 29.812039 0.748761
 40.221083 40.252720 0.419309
 45.956860 46.007561 0.671978
 17.569938 17.610243 0.534196
 25.128347 25.135408 0.093592
 25.580098 25.558741 -0.283067
 27.396048 27.541965 1.933970
8.865940 18.123622 25.105151 29.182287 
59.596385 60.780460 77.577146 77.066187 
51.916770 78.002206 77.850860 93.525771 
29.755546 51.625244 63.031488 85.400676 
17.569938 27.396048 25.128347 40.452070 
51.056738 59.156474 75.551307 77.577217 
30.215740 66.838655 61.749482 90.611382 
53.757580 62.078288 74.329396 84.367409 
21.403132 40.221083 45.956860 59.882865 
25.580098 44.911012 45.348422 56.071095 

2 10 31.1832833 -0.8517896194 5.861999055
0.07642881742 1 0.763352 0.046134 -0.273601 13.576367 0.041128 3.88068 -2.207218 
 2 3 4 5 6 7 8
0.257283 -0.906845 0.164782  0.186163 -1.105626 -0.770766
1.677285 1.172014  -0.567390 -0.501777  -0.072692 -0.293221
 6.413548 6.469933 1.360624
 20.332569 20.370900 0.924966
 22.038624 22.022520 -0.388607
 24.972132 25.038093 1.591719
 18.848107 18.866275 0.438423
 35.429734 35.448117 0.443621
 43.052633 43.071512 0.455571
 45.698261 45.710321 0.291031
 18.848107 18.870099 0.530696
 25.320061 25.345545 0.614971
 35.429734 35.445524 0.381032
 43.052633 43.042701 -0.239662
 26.532538 26.555563 0.555623
 31.395997 31.388785 -0.174038
 40.015678 40.041834 0.631179
 45.556056 45.544997 -0.266866
 6.413548 6.526290 1.360293
 22.038624 22.006056 -0.392950
 26.532538 26.567705 0.424309
 27.393484 27.413083 0.236478
 18.848107 18.888314 0.485118
 35.429734 35.464355 0.417727
 43.052633 43.056094 0.041767
 48.801980 48.890894 1.072791
 18.848107 18.888221 0.484007
 25.320061 25.371039 0.615086
 35.429734 35.463491 0.407305
 43.052633 43.067312 0.177117
 20.332569 20.409190 0.924473
 24.972132 25.102817 1.576778
 26.532538 26.520272 -0.147999
 30.966754 30.964738 -0.024328
6.413548 22.038624 27.393484 31.126867 
54.408896 56.751252 70.696049 68.642997 
51.226518 73.879375 74.238749 81.172489 
25.320061 48.229014 57.250663 70.106867 
20.332569 24.972132 30.966754 38.434511 
45.698261 55.987150 65.903806 69.591290 
31.395997 59.040213 54.799859 84.469299 
48.801980 58.295840 61.157098 80.725657 
18.848107 35.429734 43.052633 51.738738 
26.532538 40.015678 45.556056 51.673827 

2 11 32.49176577 -1.046315805 5.76035611
0.1072401379 1 0.865872 -0.032739 -0.17314 14.019979 0.060765 2.964501 -2.30287 
 2 3 4 5 6 7 8
0.333495 -0.690543 -0.313414  0.190052 -1.067395 -0.699797
2.702674 1.938237  -0.484863 -0.372281  0.102937 -0.132405
 11.368757 11.412946 1.358221
 25.989009 26.016824 0.854955
 28.100909 28.098446 -0.075714
 28.537225 28.551499 0.438756
 21.246086 21.257106 0.338734
 40.534337 40.550839 0.507205
 50.335848 50.360631 0.761765
 51.294479 51.305967 0.353106
 21.246086 21.267109 0.646196
 31.002192 31.024631 0.689721
 40.534337 40.541622 0.223918
 50.335848 50.329569 -0.192987
 30.366469 30.384478 0.553558
 34.090409 34.080308 -0.310481
 44.732492 44.754145 0.665527
 50.145487 50.128507 -0.521901
 11.368757 11.457131 1.358155
 28.100909 28.093195 -0.118557
 28.989927 28.940542 -0.758960
 30.366469 30.439111 1.116390
 21.246086 21.274351 0.434390
 40.534337 40.559227 0.382510
 50.335848 50.336670 0.012643
 52.845654 52.843132 -0.038763
 21.246086 21.281896 0.550339
 31.002192 31.047079 0.689847
 40.534337 40.557066 0.349300
 50.335848 50.372762 0.567315
 25.989009 26.044779 0.857098
 28.537225 28.568388 0.478925
 30.366469 30.324181 -0.649895
 31.930239 31.971611 0.635822
11.368757 28.989927 28.100909 32.060554 
59.803139 62.244153 75.590935 74.116826 
53.740540 73.211831 91.236045 83.113542 
31.002192 52.236462 65.576243 65.820925 
25.989009 28.537225 31.930239 43.730353 
51.294479 61.109346 71.550753 74.737638 
34.090409 63.866270 66.255822 78.391234 
53.198087 68.401453 68.153716 82.791542 
21.246086 40.534337 50.335848 52.845654 
30.366469 44.732492 50.145487 56.603356