******* 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.

2 10 26.58827125 -0.9381738396 7.871424961
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 1.291163
 12.054106 12.090835 0.881131
 13.680589 13.709653 0.697240
 24.812889 24.760105 -1.266266
 22.506411 22.536463 0.720937
 41.576744 41.605038 0.678753
 45.422576 45.459319 0.881450
 51.606096 51.611237 0.123338
 22.506411 22.529519 0.554351
 29.161384 29.189492 0.674302
 41.576744 41.597617 0.500733
 45.422576 45.431621 0.216967
 24.812889 24.843052 0.723601
 31.263688 31.251067 -0.302774
 46.212897 46.213615 0.017233
 46.272345 46.308112 0.858057
 6.571262 6.678933 1.291491
 13.680589 13.739074 0.701522
 24.812889 24.755165 -0.692379
 26.793399 26.748441 -0.539267
 22.506411 22.558563 0.625553
 41.576744 41.616807 0.480547
 45.422576 45.459374 0.441383
 57.683783 57.673825 -0.119439
 22.506411 22.560642 0.650495
 29.161384 29.217623 0.674569
 41.576744 41.634844 0.696901
 45.422576 45.477343 0.656916
 12.054106 12.127211 0.876890
 24.812889 24.825933 0.156463
 26.937116 26.885683 -0.616932
 36.287629 36.323161 0.426207
6.571262 13.680589 26.793399 32.791154 
61.699302 62.862283 81.059231 76.866516 
55.704983 75.951329 79.204588 94.894039 
29.161384 54.550927 60.373166 89.695061 
12.054106 26.937116 36.287629 40.329796 
51.606096 61.588110 78.815947 81.954547 
31.263688 64.924647 71.881679 87.428104 
57.683783 72.084728 80.135990 73.659126 
22.506411 41.576744 45.422576 64.377249 
24.812889 46.272345 46.212897 57.318857 

2 18 23.03591511 -1.174339527 8.099820052
0.0517766953 1 0.7584261311 -0.07623059914 -0.1458991891 8.889796764 0.1608104465 1.657995607 -3.268403913 
 2 3 4 5 6 7 8
0.234270 -0.817809 0.253380  0.198641 -2.523316 -0.887517
1.819135 1.088027  -1.986221 -1.722493  -1.126490 -1.411884
 10.671170 10.713311 1.279405
 19.795599 19.819334 0.720602
 20.447516 20.470763 0.705792
 28.800938 28.821545 0.625642
 24.680342 24.698953 0.565060
 46.498099 46.525672 0.837150
 52.778281 52.806217 0.848168
 58.844594 58.840584 -0.121771
 24.680342 24.706108 0.782283
 34.527902 34.559880 0.970873
 46.498099 46.504716 0.200888
 52.778281 52.792650 0.436259
 29.517709 29.543632 0.787065
 34.867017 34.852454 -0.442137
 51.947425 51.954941 0.228209
 51.972480 51.997899 0.771757
 10.671170 10.755484 1.279913
 20.447516 20.493170 0.693040
 28.800938 28.795609 -0.080898
 29.517709 29.573152 0.841645
 24.680342 24.716636 0.550965
 46.498099 46.527659 0.448726
 52.778281 52.805110 0.407271
 62.099320 62.112703 0.203158
 24.680342 24.732835 0.796869
 34.527902 34.591872 0.971086
 46.498099 46.536847 0.588214
 52.778281 52.835730 0.872095
 19.795599 19.843962 0.734164
 29.040944 29.060119 0.291079
 29.517709 29.495332 -0.339680
 33.155076 33.256873 1.545317
10.671170 20.447516 28.800938 33.691161 
68.415468 70.007979 89.085048 88.762409 
59.781546 89.940115 89.407527 108.437128 
34.527902 59.533242 72.995821 98.277604 
19.795599 33.155076 29.040944 46.571979 
58.844594 67.948403 87.076254 89.253547 
34.867017 77.240623 71.534959 104.261017 
62.099320 71.688837 85.591929 97.187228 
24.680342 46.498099 52.778281 68.907348 
29.517709 51.972480 51.947425 64.601950 

2 19 27.06644843 -1.022868747 6.338486617
0.07642881742 1 0.7841523129 -0.006924837059 -0.2176718246 13.7517073 0.0818545793 3.795613078 -2.236653987 
 2 3 4 5 6 7 8
0.274682 -0.794641 0.028028  0.190230 -1.134487 -0.708281
2.107725 1.406319  -0.567814 -0.441230  -0.004723 -0.201178
 9.855866 9.905817 1.391483
 22.748054 22.783211 0.979382
 24.302394 24.300524 -0.052101
 27.968111 28.033572 1.823541
 21.166719 21.182893 0.450562
 40.355889 40.374865 0.528618
 47.844574 47.865608 0.585961
 51.165868 51.173191 0.203998
 21.166719 21.188939 0.618970
 29.701331 29.726474 0.700420
 40.355889 40.367941 0.335724
 47.844574 47.841660 -0.081162
 29.143992 29.166629 0.630591
 33.871439 33.860947 -0.292260
 44.962283 44.986609 0.677628
 49.668239 49.663436 -0.133801
 9.855866 9.955757 1.391332
 24.302394 24.298233 -0.057953
 29.143992 29.171964 0.389604
 29.953172 29.958666 0.076523
 21.166719 21.201941 0.490593
 40.355889 40.387187 0.435940
 47.844574 47.853584 0.125503
 54.095001 54.159181 0.893936
 21.166719 21.208286 0.578960
 29.701331 29.751629 0.700581
 40.355889 40.386679 0.428858
 47.844574 47.871896 0.380552
 22.748054 22.818275 0.978076
 27.968111 28.097661 1.804436
 29.143992 29.130846 -0.183100
 31.942982 31.940443 -0.035366
9.855866 24.302394 29.953172 32.113444 
61.016262 61.228242 77.638724 75.391470 
54.963711 81.446031 82.173981 85.849492 
29.701331 52.882968 65.151720 75.146239 
22.748054 27.968111 31.942982 42.752833 
51.165868 61.059556 73.246136 76.541149 
33.871439 65.575310 63.208582 90.299825 
54.095001 66.202968 67.214183 88.145607 
21.166719 40.355889 47.844574 56.659037 
29.143992 44.962283 49.668239 56.576389 

2 11 30.98864168 -1.06664985 5.880220533
0.1072401379 1 0.865872 -0.032739 -0.17314 14.019979 0.060765 2.964501 -2.30287 
 2 3 4 5 6 7 8
0.335779 -0.678549 -0.321637  0.190663 -1.069489 -0.690517
2.770169 1.967474  -0.481474 -0.356010  0.112968 -0.108877
 12.051562 12.096271 1.412418
 26.662404 26.691831 0.929630
 28.770625 28.766459 -0.131608
 29.293158 29.307468 0.452054
 21.812293 21.823449 0.352414
 41.754025 41.770768 0.528932
 51.707376 51.733379 0.821455
 52.672604 52.682987 0.328017
 21.812293 21.833393 0.666570
 31.933830 31.956272 0.708948
 41.754025 41.761570 0.238361
 51.707376 51.701590 -0.182789
 31.266674 31.284893 0.575575
 35.050247 35.039929 -0.325945
 46.034988 46.056858 0.690893
 51.474408 51.457756 -0.526059
 12.051562 12.140978 1.412370
 28.770625 28.759494 -0.175824
 29.844483 29.802004 -0.670979
 31.266674 31.335549 1.087925
 21.812293 21.840630 0.447600
 41.754025 41.779435 0.401369
 51.707376 51.710053 0.042279
 54.042252 54.039216 -0.047956
 21.812293 21.848454 0.571184
 31.933830 31.978721 0.709080
 41.754025 41.777235 0.366617
 51.707376 51.745765 0.606381
 26.662404 26.721351 0.931096
 29.293158 29.324703 0.498266
 31.266674 31.225606 -0.648691
 32.870833 32.910169 0.621341
12.051562 29.844483 28.770625 32.994976 
61.424638 63.748808 77.504501 75.937832 
55.142131 75.152016 93.453253 85.170048 
31.933830 53.622198 67.300012 67.795313 
26.662404 29.293158 32.870833 44.986691 
52.672604 62.661055 73.387856 76.597758 
35.050247 65.563300 68.211319 80.119851 
54.679366 70.191533 70.086036 84.523915 
21.812293 41.754025 51.707376 54.042252 
31.266674 46.034988 51.474408 58.024677