******* 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 79.72651386 -2.777263586 8.842464264
0.001967542671 1 -0.243069 -0.037872 -0.149855 4.613063 0.069446 0.717824 -0.884426 
  2 3 4 5 6 7 8
0.156757 -0.585536 0.379109  0.209448 -0.529918 0.038412
2.286686 0.715907  0.307412 0.444075  0.938505 0.689229
 11.395721 11.451708 1.241674
 11.645577 11.666472 0.463413
 17.720455 17.754552 0.756199
 26.752218 26.817773 1.453870
 24.409551 24.449626 0.888767
 45.730886 45.774289 0.962582
 49.968869 49.992255 0.518642
 55.170891 55.175933 0.111810
 24.409551 24.416297 0.149603
 31.503225 31.511241 0.177790
 45.730886 45.743553 0.280917
 49.968869 49.984380 0.343995
 26.752218 26.765114 0.286001
 31.770781 31.763728 -0.156413
 47.305991 47.306148 0.003467
 51.086575 51.107716 0.468876
 11.645577 11.716569 0.787228
 17.720455 17.788645 0.756147
 26.752218 26.672500 -0.883983
 27.737635 27.708864 -0.319036
 24.409551 24.451480 0.464951
 45.730886 45.771812 0.453823
 49.968869 50.013209 0.491688
 60.200599 60.126963 -0.816551
 24.409551 24.461314 0.573994
 31.503225 31.519266 0.177877
 45.730886 45.801902 0.787487
 49.968869 50.002358 0.371354
 11.395721 11.478407 0.916893
 26.752218 26.904720 1.691085
 27.690694 27.587554 -1.143711
 28.880876 28.897802 0.187689
11.645577 17.720455 27.737635 30.493360 
61.535746 68.427879 77.823242 88.660131 
57.952735 72.329530 82.827086 87.085258 
31.503225 57.653674 75.886445 75.862257 
11.395721 27.690694 28.880876 42.886208 
55.170891 63.362317 78.610581 88.722048 
31.770781 76.053421 77.003773 82.079943 
61.368341 74.730545 70.972375 81.635414 
24.409551 45.730886 49.968869 60.200599 
26.752218 47.305991 51.086575 55.856721 

2 44 38.7207294 -1.475937379 9.789200571
0.007919222016 1 0.4723677759 -0.04822510362 -0.1280688059 11.58775376 0.1206376241 2.683596538 -2.173545906 
  2 3 4 5 6 7 8
0.162881 -0.836926 0.713236  0.202280 -1.765296 -0.482320
1.361861 0.555276  -1.125746 -0.859069  -0.462622 -0.558547
 10.624000 10.665304 1.053735
 12.506114 12.543212 0.946446
 12.874862 12.907437 0.831039
 25.860315 25.868806 0.216620
 25.215346 25.247170 0.811877
 46.352533 46.398719 1.178285
 51.213719 51.245130 0.801338
 58.378808 58.377955 -0.021764
 25.215346 25.237987 0.577610
 31.594275 31.622016 0.707722
 46.352533 46.376773 0.618397
 51.213719 51.221800 0.206161
 25.978506 26.007111 0.729758
 31.987843 31.973050 -0.377378
 50.758797 50.781218 0.572004
 51.067765 51.084334 0.422693
 10.624000 10.706681 1.054666
 12.506114 12.576574 0.898781
 25.860315 25.867753 0.094879
 25.978506 25.888528 -1.147738
 25.215346 25.263562 0.615032
 46.352533 46.398579 0.587351
 51.213719 51.256191 0.541760
 61.320533 61.406690 1.099004
 25.215346 25.276169 0.775843
 31.594275 31.649773 0.707923
 46.352533 46.447101 1.206284
 51.213719 51.249757 0.459690
 12.874862 12.943631 0.877201
 25.896172 25.892382 -0.048350
 25.978506 25.953995 -0.312656
 38.403406 38.509053 1.347609
10.624000 12.506114 25.860315 35.247340 
67.147810 72.241797 88.180186 94.308190 
59.529435 78.855459 96.957631 95.733879 
31.594275 59.922919 78.217889 87.802779 
12.874862 25.896172 38.403406 39.214248 
58.378808 67.969195 89.656417 90.946726 
31.987843 70.848732 92.795619 78.700412 
61.320533 80.747733 79.918679 78.154660 
25.215346 46.352533 51.213719 65.864144 
25.978506 51.067765 50.758797 56.459754 

2 11 56.00429763 -1.212041843 8.872288547
0.01800590693 1 0.3739905944 -0.1105645411 -0.1631659057 21.08583344 0.05817094186 -0.507240481 -1.077039114 
  2 3 4 5 6 7 8
0.201426 -0.749529 0.603718  0.210001 -0.552393 -0.154447
2.358143 0.937341  0.245113 0.463601  0.700281 0.763326
 11.639370 11.674873 1.015159
 11.865234 11.898988 0.965172
 15.873681 15.912242 1.102595
 27.705414 27.709957 0.129902
 27.231998 27.267751 1.022296
 50.890082 50.925959 1.025860
 52.166100 52.194485 0.811637
 59.014208 59.019478 0.150682
 27.231998 27.245096 0.374506
 35.488088 35.502145 0.401933
 50.890082 50.912945 0.653730
 52.166100 52.173602 0.214516
 28.061860 28.082560 0.591876
 33.746287 33.734197 -0.345683
 51.507925 51.500489 -0.212645
 52.884211 52.919749 1.016184
 11.639370 11.711984 1.038151
 15.873681 15.950745 1.101770
 27.705414 27.712524 0.101651
 28.061860 27.946970 -1.642573
 27.231998 27.280506 0.693499
 50.890082 50.925359 0.504342
 52.166100 52.212149 0.658365
 68.320876 68.311507 -0.133951
 27.231998 27.281248 0.704107
 35.488088 35.516215 0.402130
 50.890082 50.972251 1.174754
 52.166100 52.191706 0.366091
 11.865234 11.931194 0.943024
 27.709197 27.703217 -0.085490
 28.061860 28.025651 -0.517679
 41.664609 41.670911 0.090098
11.639370 15.873681 27.705414 36.972928 
68.320876 72.408899 89.248942 85.450466 
61.084499 82.885421 92.714108 96.767266 
35.488088 61.855567 77.389545 92.262148 
11.865234 27.709197 41.664609 47.657854 
59.014208 69.262938 88.984453 91.176327 
33.746287 73.735102 87.199236 87.384063 
68.612901 82.763946 76.518734 87.526007 
27.231998 50.890082 52.166100 68.443810 
28.061860 51.507925 52.884211 62.479490 

-64 9 113.0701438 -7.556077245 6.955102807
0 1 -0.1436889345 -0.07485069373 -0.005315800527 3.728515675 0.02542283423 1.076134979 0.01422798031 
  2 3 4 5 6 7 8
0.218394 -0.501906 0.262471  0.214617 -0.119810 0.231400
2.648510 1.278051  0.897621 0.881794  1.396818 1.100377
 10.975728 11.017342 1.011351
 12.815080 12.814796 -0.006886
 15.420937 15.425649 0.114507
 17.249187 17.309609 1.468463
 20.298274 20.305075 0.165308
 38.642348 38.657129 0.359229
 41.432901 41.431930 -0.023611
 43.556120 43.551410 -0.114472
 20.298274 20.302201 0.095458
 22.843910 22.846036 0.051680
 38.642348 38.638297 -0.098438
 41.049042 41.007535 -1.008758
 18.681225 18.683374 0.052230
 19.212877 19.210961 -0.046569
 37.812881 37.815842 0.071948
 38.169186 38.170608 0.034570
 12.815080 12.814516 -0.006851
 15.420937 15.430375 0.114680
 17.918302 17.921343 0.036952
 18.681225 18.677521 -0.045005
 20.298274 20.310612 0.149928
 38.642348 38.646961 0.056063
 41.432901 41.445054 0.147672
 46.138406 46.332752 2.361603
 20.298274 20.307398 0.110882
 22.843910 22.848163 0.051684
 38.642348 38.659051 0.202967
 41.049042 40.971323 -0.944414
 10.975728 11.057584 0.994676
 17.249187 17.368782 1.453270
 18.050422 18.066866 0.199821
 18.681225 18.681182 -0.000515
12.815080 15.420937 17.918302 23.697070 
49.558449 55.632884 64.773272 66.166881 
39.076870 56.003726 57.551428 63.982446 
22.843910 41.049042 58.860943 63.455575 
10.975728 17.249187 18.050422 37.294344 
43.556120 51.605846 66.593132 68.007627 
19.212877 58.594757 58.776439 61.159203 
50.452304 54.920984 61.560533 59.333255 
20.298274 38.642348 41.432901 46.138406 
18.681225 37.812881 38.169186 46.659967