******* 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 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 10 33.3593101 -0.9381738389 7.871425228
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 -0.387462  -0.043657 -0.135756
 6.571262 6.625084 1.291162
 12.054106 12.090836 0.881130
 13.680589 13.709653 0.697240
 24.812889 24.760106 -1.266266
 22.506412 22.536464 0.720939
 41.576746 41.605039 0.678753
 45.422578 45.459321 0.881450
 51.606097 51.611239 0.123339
 22.506412 22.529519 0.554352
 29.161385 29.189493 0.674301
 41.576746 41.597618 0.500733
 45.422578 45.431622 0.216967
 24.812889 24.843052 0.723601
 31.263689 31.251068 -0.302774
 46.212899 46.213617 0.017233
 46.272346 46.308114 0.858057
 6.571262 6.678933 1.291491
 13.680589 13.739074 0.701522
 24.812889 24.755166 -0.692379
 26.793400 26.748441 -0.539268
 22.506412 22.558563 0.625554
 41.576746 41.616808 0.480548
 45.422578 45.459376 0.441383
 57.683785 57.673827 -0.119439
 22.506412 22.560643 0.650495
 29.161385 29.217624 0.674569
 41.576746 41.634846 0.696901
 45.422578 45.477345 0.656916
 12.054106 12.127212 0.876890
 24.812889 24.825934 0.156463
 26.937117 26.885684 -0.616932
 36.287630 36.323162 0.426207
6.571262 13.680589 26.793400 32.791155 
61.699304 62.862285 81.059234 76.866518 
55.704985 75.951332 79.204590 94.894042 
29.161385 54.550929 60.373168 89.695064 
12.054106 26.937117 36.287630 40.329798 
51.606097 61.588112 78.815949 81.954549 
31.263689 64.924649 71.881682 87.428107 
57.683785 72.084730 80.135993 73.659128 
22.506412 41.576746 45.422578 64.377251 
24.812889 46.272346 46.212899 57.318859 

2 26 26.14305262 -0.9136932286 8.000079816
0.0517766953 1 0.806017152 -0.08049195033 -0.1441583782 7.764809102 0.1618087787 1.077057144 -2.238207941 
  2 3 4 5 6 7 8
0.215818 -0.954430 0.377422  0.186256 -1.256140 -0.786812
1.204576 0.819290  -0.747371 -0.531269  -0.235301 -0.258954
 4.792588 4.839323 1.291046
 16.398852 16.422902 0.664403
 17.720664 17.738573 0.494734
 24.850426 24.892008 1.148703
 22.680851 22.700220 0.535052
 41.412383 41.440069 0.764849
 48.468919 48.497047 0.777033
 54.176078 54.171676 -0.121621
 22.680851 22.710923 0.830739
 30.405975 30.445063 1.079828
 41.412383 41.413283 0.024884
 48.468919 48.485015 0.444634
 25.549677 25.577637 0.772408
 31.184163 31.169959 -0.392384
 46.564341 46.588723 0.673570
 47.924171 47.933677 0.262621
 4.792588 4.886077 1.291309
 17.720664 17.756042 0.488658
 24.850426 24.870121 0.272036
 25.549677 25.495901 -0.742780
 22.680851 22.725087 0.611002
 41.412383 41.438107 0.355315
 48.468919 48.492870 0.330817
 56.549030 56.570269 0.293363
 22.680851 22.735532 0.755272
 30.405975 30.484156 1.079874
 41.412383 41.443848 0.434615
 48.468919 48.533066 0.886026
 16.398852 16.447506 0.672044
 25.549677 25.675162 1.733253
 27.178479 27.253509 1.036348
 29.798055 29.665832 -1.826323
4.792588 17.720664 24.850426 30.775158 
64.284500 64.960410 84.703901 82.698500 
55.330334 83.138236 83.176813 98.936736 
30.405975 54.873920 64.856336 93.063476 
16.398852 29.798055 27.178479 41.465101 
54.176078 63.526033 81.645162 84.281890 
31.184163 70.361314 63.765413 100.330282 
56.549030 63.485823 84.167094 89.988875 
22.680851 41.412383 48.468919 66.271072 
25.549677 46.564341 47.924171 60.313757 

2 10 33.57545502 -0.8517896229 5.983807175
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 -0.491768  -0.072692 -0.277900
 6.546817 6.604373 1.417756
 20.755065 20.794192 0.963806
 22.496571 22.480132 -0.404924
 25.491035 25.558367 1.658556
 19.239757 19.258303 0.456833
 36.165938 36.184704 0.462249
 43.947236 43.966507 0.474701
 46.647838 46.660149 0.303251
 19.239757 19.262206 0.552980
 25.846193 25.872207 0.640794
 36.165938 36.182056 0.397032
 43.947236 43.937097 -0.249726
 27.083865 27.107369 0.578953
 32.048383 32.041021 -0.181347
 40.847175 40.873874 0.657682
 46.502679 46.491390 -0.278072
 6.546817 6.661902 1.417412
 22.496571 22.463326 -0.409450
 27.083865 27.119763 0.442126
 27.962701 27.982707 0.246408
 19.239757 19.280799 0.505488
 36.165938 36.201279 0.435268
 43.947236 43.950769 0.043521
 49.816050 49.906812 1.117838
 19.239757 19.280705 0.504330
 25.846193 25.898231 0.640914
 36.165938 36.200397 0.424408
 43.947236 43.962220 0.184554
 20.755065 20.833278 0.963292
 25.491035 25.624435 1.642987
 27.083865 27.071344 -0.154214
 31.610221 31.608162 -0.025350
6.546817 22.496571 27.962701 31.773661 
55.539473 57.930502 72.165062 70.069349 
52.290969 75.414535 75.781377 82.859195 
25.846193 49.231178 58.440290 71.563637 
20.755065 25.491035 31.610221 39.233153 
46.647838 57.150523 67.273240 71.037347 
32.048383 60.267026 55.938561 86.224510 
49.816050 59.507185 62.427898 82.403078 
19.239757 36.165938 43.947236 52.813831 
27.083865 40.847175 46.502679 52.747572 

2 11 38.44743035 -1.046315807 5.886877848
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 -0.360040  0.102937 -0.113861
 11.618463 11.663623 1.418541
 26.559837 26.588263 0.892923
 28.718124 28.715607 -0.079076
 29.164023 29.178611 0.458241
 21.712740 21.724002 0.353776
 41.424643 41.441507 0.529730
 51.441435 51.466763 0.795594
 52.421123 52.432863 0.368788
 21.712740 21.734225 0.674893
 31.683131 31.706063 0.720354
 41.424643 41.432088 0.233862
 51.441435 51.435019 -0.201558
 31.033445 31.051850 0.578143
 34.839179 34.828855 -0.324269
 45.715007 45.737135 0.695083
 51.246893 51.229541 -0.545078
 11.618463 11.708778 1.418472
 28.718124 28.710240 -0.123823
 29.626668 29.576198 -0.792666
 31.033445 31.107682 1.165970
 21.712740 21.741626 0.453681
 41.424643 41.450079 0.399497
 51.441435 51.442276 0.013205
 54.006368 54.003790 -0.040485
 21.712740 21.749336 0.574779
 31.683131 31.729004 0.720485
 41.424643 41.447870 0.364813
 51.441435 51.479161 0.592509
 26.559837 26.616832 0.895161
 29.164023 29.195870 0.500194
 31.033445 30.990228 -0.678758
 32.631561 32.673842 0.664059
11.618463 29.626668 28.718124 32.764740 
61.116669 63.611297 77.251232 75.744744 
54.920909 74.819872 93.239974 84.939066 
31.683131 53.383795 67.016574 67.266631 
26.559837 29.164023 32.631561 44.690856 
52.421123 62.451566 73.122310 76.379192 
34.839179 65.269043 67.711080 80.113037 
54.366541 69.903838 69.650659 84.609994 
21.712740 41.424643 51.441435 54.006368 
31.033445 45.715007 51.246893 57.846605