******* 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 fitting lowest state to lattice value.
Parity doublets (o,multi,state) with fractional error
  ( 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 9 31984786.738477 -0.250000 50.000000
0.000000 1.000000 0.000000 -0.149727 -0.145954 5.000000 0.147880 1.000000 -1.635310  2 3 4 5 6 7 8
-0.020910 -5.450425 4.228391  0.202359 -2.343021 -0.220150
0.304607 -5.089156  -1.310428 -43.274814  -1.292851 -95.549629
 -414.251325 -413.958317 -4.901418
 -410.973271 -410.822074 -2.529213
 -256.449224 -248.980053 -124.943859
 -248.393291 -248.390914 -0.039766
 -149.074146 -148.389251 -11.456893
 -0.645681 -3.791601 52.624773
 2.672681 -1.297487 66.412734
 3.063777 34.782806 -530.594026
 -149.074146 -149.074146 -0.000005
 -0.645681 7.716792 -139.886950
 2.672681 12.158745 -158.682326
 34.151176 34.151174 0.000017
 -123.266616 -123.266616 0.000005
 -102.684803 -102.684803 0.000000
 -92.932160 -64.154740 -481.386979
 -64.154740 -41.503991 -378.900374
 -410.973271 -410.547764 -3.558927
 -248.393291 -248.987283 4.968128
 -219.848604 -218.990537 -7.176851
 -137.000866 -129.046196 -66.532621
 -149.074146 -148.232614 -7.038556
 -0.645681 -0.413135 -1.945007
 2.672681 7.015268 -36.321271
 3.063777 11.603073 -71.422415
 -149.074146 -148.545973 -4.417630
 -0.645681 -3.749464 25.959952
 2.672681 35.318316 -273.047127
 29.712162 41.347298 -97.315935
 -414.251325 -413.788123 -3.874203
 -256.449224 -251.909054 -37.973845
 -248.388485 -248.972895 4.887992
 -123.266616 -106.982853 -136.196911
-410.973271 -248.393291 -219.848604 -137.000866 
43.823451 3.063777 89.451764 190.297258 
-19.486713 158.780173 140.258252 236.532650 
154.135645 128.174327 108.627318 233.862407 
-414.251325 -248.388485 -256.449224 -79.621788 
29.712162 34.200358 81.786270 140.610100 
14.046577 38.913261 100.187620 122.929049 
94.520711 211.027841 126.140200 253.369221 
-149.074146 34.151176 -0.645681 2.672681 
-102.684803 -64.154740 -92.932160 -123.266616 

2 19 98.658266 -1.982526 9.486268
0.001968 1.000000 -0.184335 -0.039300 -0.151624 4.498776 0.077882 0.765419 -0.999553  2 3 4 5 6 7 8
0.163728 -0.619866 0.570947  0.207381 -0.619617 -0.009927
2.727259 0.761329  0.198315 0.388648  0.838555 0.665003
 12.280000 12.315256 0.876150
 12.402939 12.454289 1.276084
 23.732424 23.760261 0.691764
 29.508329 29.567302 1.465544
 26.915663 26.961084 1.128731
 50.005492 50.052970 1.179863
 57.791445 57.811762 0.504903
 61.536904 61.541354 0.110569
 26.915663 26.919234 0.088739
 36.516003 36.520697 0.116644
 50.005492 50.010550 0.125690
 57.791445 57.811822 0.506404
 30.682891 30.691034 0.202361
 35.665629 35.660931 -0.116742
 51.255982 51.256340 0.008896
 57.680554 57.693597 0.324125
 12.280000 12.359945 0.993347
 23.732424 23.788057 0.691264
 30.682891 30.541601 -1.755579
 30.735920 30.768748 0.407899
 26.915663 26.955814 0.498887
 50.005492 50.051910 0.576757
 57.791445 57.828970 0.466271
 66.873562 66.805111 -0.850539
 26.915663 26.973523 0.718932
 36.516003 36.525395 0.116697
 50.005492 50.064031 0.727365
 57.791445 57.835261 0.544440
 12.402939 12.496077 1.157272
 29.508329 29.624686 1.445789
 30.682891 30.642627 -0.500295
 31.334037 31.346738 0.157810
12.280000 23.732424 30.735920 33.619548 
66.873562 75.583762 85.015208 97.198091 
63.882673 81.137326 90.714684 95.175397 
36.516003 64.118580 86.636647 84.873042 
12.402939 29.508329 31.334037 47.937724 
61.536904 68.983673 86.671244 98.753839 
35.665629 84.679702 89.100821 88.156476 
70.775682 82.858391 77.432378 89.854889 
26.915663 50.005492 57.791445 68.254786 
30.682891 51.255982 57.680554 63.751041 

2 27 52.671309 -1.689837 10.205607
0.007919 1.000000 0.441277 -0.044537 -0.145914 11.025803 0.127932 1.833182 -1.051022  2 3 4 5 6 7 8
0.160255 -0.797939 0.706903  0.207689 -0.537836 -0.100977
1.670636 0.572463  0.236735 0.494948  0.662073 0.798750
 12.280000 12.323841 1.147227
 13.100819 13.138779 0.993349
 14.664117 14.704946 1.068412
 28.884549 28.869921 -0.382770
 27.012464 27.050656 0.999423
 50.189343 50.240716 1.344339
 54.814456 54.846084 0.827644
 62.702926 62.705318 0.062578
 27.012464 27.030519 0.472463
 35.409321 35.433381 0.629581
 50.189343 50.221743 0.847865
 54.814456 54.819816 0.140261
 29.041784 29.069810 0.733406
 35.410518 35.395976 -0.380534
 53.894336 53.900622 0.164485
 55.742187 55.774149 0.836382
 12.280000 12.368315 1.155515
 14.664117 14.745241 1.061427
 28.884549 28.903574 0.248923
 29.041784 28.920519 -1.586622
 27.012464 27.058716 0.605170
 50.189343 50.243876 0.713511
 54.814456 54.861072 0.609929
 67.255188 67.348430 1.219975
 27.012464 27.078823 0.868253
 35.409321 35.457461 0.629860
 50.189343 50.302167 1.476190
 54.814456 54.841374 0.352197
 13.100819 13.176633 0.991946
 28.914267 28.873853 -0.528784
 29.041784 29.045869 0.053453
 41.517307 41.570289 0.693222
12.280000 14.664117 28.884549 37.291010 
70.593663 77.253766 93.499296 100.811631 
65.121169 84.466075 102.992495 103.471487 
35.409321 64.930420 85.437069 95.001078 
13.100819 28.914267 41.517307 43.132589 
62.702926 71.813860 94.944211 97.981934 
35.410518 78.629456 98.178521 86.698481 
67.255188 86.991253 81.871109 88.701272 
27.012464 50.189343 54.814456 71.445199 
29.041784 53.894336 55.742187 61.540793