******* 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 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.

-64 9 41383420.25 -0.25 50
0.03249196962 1 0.7 -0.01 -0.1 19.861147 0.01 3.5 -1.896 
 2 3 4 5 6 7 8
0.179473 -2.398212 2.514763  0.141905 -1.154277 -1.413918
-0.922808 -0.648086  -0.820018 1.815483  -1.369483 3.070942
 -107.439567 -106.950975 70.151137
 61.630352 61.747839 16.868589
 76.672842 77.555022 126.661642
 79.233295 77.758714 -211.717631
 104.229362 104.435375 29.578942
 170.854548 171.038121 26.356991
 232.349664 231.889490 -66.070959
 251.007842 251.554752 78.524341
 85.640253 86.183305 77.970410
 104.229362 104.408384 25.703545
 130.377269 170.805184 5804.563543
 170.854548 231.206461 8665.213315
 97.744129 97.904131 22.972861
 117.707518 117.781397 10.607342
 173.779685 174.072975 42.109927
 211.705299 240.574087 4144.925877
 -107.439567 -106.462846 70.117872
 76.672842 75.995635 -48.616053
 80.700319 87.604518 495.645951
 97.744129 92.121094 -403.672329
 104.229362 104.846091 44.274354
 170.854548 171.052560 14.215062
 191.678142 230.726219 2803.224510
 232.349664 252.070385 1415.731893
 85.640253 86.720860 77.575765
 104.229362 104.387242 11.334038
 130.377269 170.926990 2911.026123
 170.854548 230.987277 4316.871676
 61.630352 61.868900 17.125162
 79.233295 88.523087 666.905357
 97.744129 88.886132 -635.907165
 173.779685 174.001256 15.906356
-107.439567 80.700319 76.672842 192.860479 
292.150753 371.151977 428.784519 441.451198 
260.315548 310.490593 280.975785 476.536381 
85.640253 256.401282 130.377269 428.241580 
61.630352 79.233295 202.882767 197.819270 
251.007842 340.623099 397.699261 404.457017 
117.707518 211.705299 294.310633 453.837531 
250.064780 191.678142 485.054101 383.782413 
104.229362 170.854548 232.349664 350.863744 
97.744129 173.779685 241.094657 289.172570 

2 60 26.61585589 -1.533255066 8.245060703
0.0517766953 1 0.8001345649 0.01304197234 -0.0851774918 12.70744785 0.1729078908 3.540410219 -1.305031822 
 2 3 4 5 6 7 8
0.253094 -0.826251 0.224890  0.205605 -0.433912 -0.243407
1.766674 1.226610  0.311916 0.571060  0.751669 0.883818
 13.085507 13.117425 1.065708
 29.330423 29.344596 0.473207
 30.564507 30.595687 1.041072
 31.463346 31.552477 2.975934
 24.600971 24.612491 0.384627
 47.866339 47.893430 0.904521
 57.334118 57.355231 0.704923
 62.342441 62.331017 -0.381436
 24.600971 24.629536 0.953746
 34.491303 34.525776 1.151003
 47.866339 47.857515 -0.294607
 57.334118 57.349691 0.519970
 33.007093 33.025528 0.615492
 37.090542 37.079631 -0.364310
 53.943393 53.956589 0.440624
 57.491421 57.504364 0.432151
 13.085507 13.149377 1.066255
 29.330423 29.358599 0.470379
 33.007093 33.033881 0.447198
 33.038853 33.050909 0.201267
 24.600971 24.631146 0.503752
 47.866339 47.884937 0.310483
 57.334118 57.346612 0.208574
 62.785921 62.824961 0.651740
 24.600971 24.650973 0.834736
 34.491303 34.560253 1.151072
 47.866339 47.884319 0.300171
 57.334118 57.394533 1.008576
 30.564507 30.624766 1.005986
 31.463346 31.641003 2.965842
 32.899017 32.902643 0.060540
 33.007093 32.999467 -0.127321
13.085507 29.330423 34.682016 33.038853 
72.444643 73.693184 93.451365 92.320881 
62.581095 96.578729 98.787737 100.100053 
34.491303 61.290657 76.886474 96.018336 
30.564507 31.463346 32.899017 51.002684 
62.342441 71.835853 89.544454 92.218100 
37.090542 78.447140 74.957026 109.302878 
62.785921 77.357079 79.638061 106.958456 
24.600971 47.866339 57.334118 70.041130 
33.007093 53.943393 57.491421 66.853369 

2 27 53.35729233 -1.566838928 6.925534554
0.07642881742 1 0.8497015819 0.04346151242 -0.03768924221 14.94379826 0.1186656521 3.832996728 -3.077541369 
 2 3 4 5 6 7 8
0.312745 -0.727907 -0.099189  0.194022 -1.925558 -0.758649
2.330629 1.761655  -1.372253 -1.129900  -0.583806 -0.835363
 14.443108 14.470337 0.943609
 31.910062 31.816384 -3.246367
 31.919317 31.967496 1.669616
 31.960183 31.970916 0.371956
 23.019156 23.025444 0.217914
 45.177346 45.197669 0.704289
 56.642649 56.652587 0.344400
 58.521647 58.577017 1.918840
 23.019156 23.044512 0.878711
 33.069840 33.097142 0.946121
 45.177346 45.164452 -0.446845
 56.642649 56.639739 -0.100847
 33.550539 33.558712 0.283220
 36.120708 36.115944 -0.165107
 50.248918 50.260705 0.408490
 56.090315 56.071905 -0.637971
 14.443108 14.497573 0.943745
 31.910062 31.732927 -3.069278
 33.550539 33.622287 1.243205
 33.576942 33.676354 1.722558
 23.019156 23.042974 0.412714
 45.177346 45.188381 0.191217
 56.642649 56.608675 -0.588681
 58.049626 58.171518 2.112072
 23.019156 23.058604 0.683535
 33.069840 33.124447 0.946185
 45.177346 45.181284 0.068230
 56.642649 56.694273 0.894520
 31.919317 31.975261 0.969367
 31.960183 32.021276 1.058574
 33.550539 33.376293 -3.019233
 33.713788 33.899604 3.219708
14.443108 33.576942 31.910062 34.038177 
68.384619 69.346567 86.310273 84.270394 
58.566193 89.173259 95.103968 96.815642 
33.069840 57.083107 73.039408 75.922634 
31.919317 31.960183 33.713788 50.114025 
58.521647 68.311456 81.048040 84.549713 
36.120708 71.173124 72.970272 95.905403 
58.049626 76.228882 73.203326 97.155365 
23.019156 45.177346 56.642649 61.030525 
33.550539 50.248918 56.090315 62.859489 

2 28 33.03588182 -1.422536217 6.311749147
0.1072401379 1 0.8589157714 -0.01609464396 -0.102472437 12.11487027 0.09369510391 2.064819489 -1.782773584 
 2 3 4 5 6 7 8
0.366227 -0.567175 -0.434204  0.203289 -0.648632 -0.373465
3.378655 2.308363  0.092142 0.261835  0.652414 0.547041
 17.997125 18.032668 1.314544
 31.068406 31.096142 1.025781
 33.454866 33.463568 0.321840
 33.485759 33.517184 1.162218
 24.291812 24.299370 0.279533
 48.293233 48.310329 0.632270
 58.781828 58.776489 -0.197463
 58.991577 59.008048 0.609139
 24.291812 24.311909 0.743265
 37.016327 37.037168 0.770808
 48.293233 48.293001 -0.008576
 58.781828 58.782622 0.029346
 36.251434 36.265080 0.504689
 39.275042 39.265920 -0.337354
 52.928478 52.944911 0.607755
 57.867955 57.853876 -0.520684
 17.997125 18.068244 1.315151
 33.454866 33.415035 -0.736549
 33.485759 33.472080 -0.252954
 36.251434 36.319307 1.255130
 24.291812 24.312812 0.388338
 48.293233 48.311891 0.345033
 58.781828 58.774836 -0.129305
 58.991577 58.998267 0.123697
 24.291812 24.326110 0.634241
 37.016327 37.058016 0.770938
 48.293233 48.308358 0.279700
 58.781828 58.779802 -0.037470
 31.068406 31.123663 1.021816
 33.805906 33.816992 0.205007
 36.251434 36.182530 -1.274177
 36.817034 36.888173 1.315536
17.997125 33.454866 33.485759 36.872476 
69.660259 70.466756 86.106782 84.283102 
60.772004 82.166753 105.703090 97.093849 
37.016327 59.662142 75.276389 79.571486 
31.068406 33.805906 36.817034 52.117885 
59.951125 69.749686 81.975406 84.818559 
39.275042 73.200936 79.179001 83.263241 
61.296746 77.970757 78.777563 90.034822 
24.291812 48.293233 58.991577 58.781828 
36.251434 52.928478 57.867955 64.445385