******* 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 52.70024742 -2.777263495 8.842465229
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
 11.395723 11.451710 1.241674
 11.645578 11.666473 0.463413
 17.720457 17.754554 0.756199
 26.752221 26.817776 1.453871
 24.409554 24.449628 0.888766
 45.730891 45.774294 0.962582
 49.968874 49.992260 0.518642
 55.170897 55.175939 0.111809
 24.409554 24.416299 0.149603
 31.503228 31.511245 0.177791
 45.730891 45.743558 0.280918
 49.968874 49.984385 0.343996
 26.752221 26.765117 0.286002
 31.770784 31.763731 -0.156413
 47.305997 47.306153 0.003467
 51.086580 51.107722 0.468876
 11.645578 11.716570 0.787228
 17.720457 17.788647 0.756147
 26.752221 26.672503 -0.883983
 27.737638 27.708867 -0.319037
 24.409554 24.451483 0.464951
 45.730891 45.771817 0.453823
 49.968874 50.013215 0.491689
 60.200606 60.126969 -0.816552
 24.409554 24.461317 0.573995
 31.503228 31.519269 0.177877
 45.730891 45.801907 0.787487
 49.968874 50.002363 0.371354
 11.395723 11.478408 0.916893
 26.752221 26.904723 1.691086
 27.690697 27.587557 -1.143712
 28.880879 28.897805 0.187689
11.645578 17.720457 27.737638 30.493364 
61.535753 68.427887 77.823251 88.660141 
57.952741 72.329537 82.827095 87.085268 
31.503228 57.653680 75.886453 75.862265 
11.395723 27.690697 28.880879 42.886212 
55.170897 63.362324 78.610590 88.722058 
31.770784 76.053429 77.003781 82.079952 
61.368348 74.730553 70.972383 81.635423 
24.409554 45.730891 49.968874 60.200606 
26.752221 47.305997 51.086580 55.856727 

2 10 36.29267478 -1.685183995 9.646166375
0.007919222016 1 0.4418230944 -0.04467827838 -0.1448630776 11.00707922 0.1280984911 1.929478363 -2.654506814 
 2 3 4 5 6 7 8
0.160058 -0.798867 0.708250  0.205999 -2.411490 -0.560215
1.666071 0.570126  -1.773736 -1.519161  -0.918926 -1.218507
 11.557994 11.599453 1.024165
 12.322732 12.358833 0.891816
 13.812891 13.851459 0.952749
 27.253313 27.243109 -0.252064
 25.515012 25.551135 0.892365
 47.389104 47.437695 1.200361
 51.764610 51.794522 0.738926
 59.223288 59.225545 0.055746
 25.515012 25.532106 0.422293
 33.440106 33.462910 0.563326
 47.389104 47.419749 0.757016
 51.764610 51.769690 0.125494
 27.410126 27.436664 0.655568
 33.434398 33.420638 -0.339916
 50.892126 50.898077 0.147027
 52.636689 52.666932 0.747079
 11.557994 11.641517 1.031637
 13.812891 13.889528 0.946591
 27.253313 27.273785 0.252859
 27.410126 27.293146 -1.444892
 25.515012 25.558785 0.540670
 47.389104 47.440698 0.637271
 51.764610 51.808655 0.544028
 63.500665 63.589049 1.091681
 25.515012 25.577786 0.775358
 33.440106 33.485734 0.563573
 47.389104 47.495801 1.317869
 51.764610 51.790130 0.315213
 12.322732 12.394816 0.890361
 27.282556 27.245910 -0.452640
 27.410126 27.412270 0.026481
 39.067355 39.123538 0.693943
11.557994 13.812891 27.253313 35.249148 
66.680647 72.972765 88.300624 95.288419 
61.505038 79.780350 97.296314 97.725130 
33.440106 61.330664 80.700948 89.757125 
12.322732 27.282556 39.067355 40.722353 
59.223288 67.830988 89.690553 92.571321 
33.434398 74.254640 92.754490 81.888761 
63.500665 82.187416 77.372913 83.740852 
25.515012 47.389104 51.764610 67.466302 
27.410126 50.892126 52.636689 58.089398 

2 10 33.30559463 -1.254840061 8.81915683
0.01800590693 1 0.37047 -0.109437 -0.161202 8.530996 0.058185 -0.011412 -2.047341 
 2 3 4 5 6 7 8
0.204093 -0.739402 0.591935  0.206933 -1.606814 -0.486453
2.414683 0.967330  -0.911896 -0.672299  -0.222807 -0.362084
 11.744485 11.780820 1.046397
 12.091832 12.126131 0.987768
 16.390386 16.427732 1.075509
 27.892357 27.884269 -0.232935
 27.224036 27.258862 1.002961
 51.070808 51.106259 1.020931
 52.377862 52.405646 0.800159
 59.142515 59.147452 0.142197
 27.224036 27.236732 0.365623
 35.614678 35.628236 0.390435
 51.070808 51.093126 0.642708
 52.377862 52.385255 0.212903
 28.299627 28.319669 0.577187
 33.850426 33.838577 -0.341248
 51.676766 51.669666 -0.204475
 53.042211 53.076748 0.994625
 11.744485 11.819494 1.080093
 16.390386 16.465011 1.074553
 27.892357 27.881649 -0.154193
 28.299627 28.199695 -1.438950
 27.224036 27.270927 0.675210
 51.070808 51.105323 0.496984
 52.377862 52.423373 0.655331
 68.310251 68.374576 0.926247
 27.224036 27.272242 0.694144
 35.614678 35.641806 0.390624
 51.070808 51.151795 1.166159
 52.377862 52.402588 0.356034
 12.091832 12.158161 0.955087
 27.897775 27.881835 -0.229520
 28.299627 28.274006 -0.368923
 39.263352 39.269163 0.083672
11.744485 16.390386 27.892357 34.847901 
68.310251 72.457321 89.144043 85.836450 
61.069372 83.019270 92.680083 96.718740 
35.614678 61.856843 77.585735 92.273964 
12.091832 27.897775 39.263352 47.920571 
59.142515 69.270988 88.947983 91.200229 
33.850426 73.991955 87.118174 87.516838 
68.652569 82.888407 76.700984 87.304057 
27.224036 51.070808 52.377862 68.674540 
28.299627 51.676766 53.042211 62.873657 

2 51 35.15998357 -1.140380317 8.86926165
0 1 -0.1623480713 -0.04738903902 -0.120050423 3.893061205 -0.03705379847 1.29348977 -0.7290131828 
 2 3 4 5 6 7 8
0.132480 -0.548747 0.125888  0.203960 -0.586878 0.138791
1.203309 0.526826  0.279787 0.343462  0.812907 0.552733
 1.720588 1.764926 0.833541
 6.735316 6.784783 0.929979
 13.467577 13.475731 0.153285
 17.943419 17.902237 -0.774208
 21.759377 21.804280 0.844177
 37.570290 37.590770 0.385017
 40.932626 40.965237 0.613083
 44.069863 44.075438 0.104808
 19.767698 19.823417 1.047520
 21.759377 21.724926 -0.647670
 37.570290 37.586534 0.305389
 40.932626 40.928716 -0.073506
 17.943419 17.956532 0.246527
 22.782721 22.777585 -0.096556
 37.638630 37.656124 0.328880
 41.396006 41.517248 2.279331
 1.720588 1.809369 0.834537
 13.467577 13.483626 0.150862
 17.943419 17.892310 -0.480420
 21.948019 21.915517 -0.305524
 21.759377 21.843643 0.792099
 37.570290 37.612365 0.395502
 40.932626 40.947024 0.135340
 44.914199 44.923910 0.091283
 19.767698 19.857733 0.846321
 21.759377 21.717462 -0.394000
 37.570290 37.601584 0.294160
 40.932626 40.975813 0.405958
 6.735316 6.833511 0.923034
 17.943419 17.939109 -0.040512
 18.129603 18.451579 3.026563
 22.127541 22.105224 -0.209782
1.720588 13.467577 21.948019 25.171738 
56.196567 56.208723 70.491739 74.238504 
46.410548 59.126726 62.159244 71.356336 
19.767698 42.810740 57.185241 61.095566 
6.735316 18.129603 22.127541 36.088629 
44.069863 54.072837 69.325271 65.150387 
22.782721 54.314844 62.642505 65.010103 
50.679452 59.050633 63.462572 66.105191 
21.759377 37.570290 40.932626 44.914199 
17.943419 37.638630 42.308276 41.396006