******* 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 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 26 81.160737 -2.778206 9.323391
0.001968 1.000000 -0.243069 -0.037872 -0.149855 4.613063 0.069446 0.717824 -0.884426  2 3 4 5 6 7 8
0.156763 -0.585530 0.379097  0.209449 -0.529907 0.038412
2.286775 0.715961  0.307426 0.474465  0.938521 0.737581
 12.016524 12.075562 1.380595
 12.280000 12.302026 0.515068
 18.685087 18.721038 0.840718
 28.208031 28.276663 1.604962
 25.737555 25.779807 0.988077
 48.219282 48.265044 1.070160
 52.687628 52.712285 0.576604
 58.172588 58.177903 0.124300
 25.737555 25.744667 0.166323
 33.217352 33.225804 0.197657
 48.219282 48.232637 0.312313
 52.687628 52.703981 0.382433
 28.208031 28.221628 0.317959
 33.499461 33.492025 -0.173894
 49.880032 49.880197 0.003854
 53.866120 53.888411 0.521275
 12.280000 12.354852 0.875209
 18.685087 18.756984 0.840660
 28.208031 28.123976 -0.982809
 29.247031 29.216696 -0.354684
 25.737555 25.781763 0.516904
 48.219282 48.262432 0.504538
 52.687628 52.734379 0.546643
 63.476503 63.398945 -0.906847
 25.737555 25.792131 0.638135
 33.217352 33.234264 0.197753
 48.219282 48.294159 0.875501
 52.687628 52.722936 0.412844
 12.016524 12.103707 1.019380
 28.208031 28.368397 1.875083
 29.197313 29.089023 -1.266188
 30.452117 30.469934 0.208328
12.280000 18.685087 29.247031 32.152337 
64.883689 72.150634 82.057163 93.484651 
61.105644 76.265126 87.333553 91.823264 
33.217352 60.790279 80.015351 79.989988 
12.016524 29.197313 30.452117 45.220625 
58.172588 66.809610 82.887150 93.548719 
33.499461 80.191318 81.192578 86.546347 
64.707049 78.796806 74.832386 86.078881 
25.737555 48.219282 52.687628 63.476503 
28.208031 49.880032 53.866120 58.896497 

2 10 52.671050 -1.689839 10.205608
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
1.670635 0.572463  0.236735 0.494949  0.662074 0.798751
 12.280000 12.323841 1.147225
 13.100830 13.138790 0.993345
 14.664124 14.704953 1.068406
 28.884542 28.869918 -0.382678
 27.012464 27.050657 0.999431
 50.189343 50.240717 1.344342
 54.814463 54.846091 0.827652
 62.702934 62.705325 0.062580
 27.012464 27.030519 0.472457
 35.409322 35.433382 0.629582
 50.189343 50.221744 0.847867
 54.814463 54.819823 0.140260
 29.041784 29.069811 0.733395
 35.410515 35.395973 -0.380529
 53.894340 53.900626 0.164493
 55.742190 55.774152 0.836388
 12.280000 12.368315 1.155514
 14.664124 14.745248 1.061422
 28.884542 28.903569 0.248954
 29.041784 28.920517 -1.586654
 27.012464 27.058717 0.605167
 50.189343 50.243877 0.713518
 54.814463 54.861079 0.609929
 67.255191 67.348433 1.219981
 27.012464 27.078824 0.868250
 35.409322 35.457462 0.629859
 50.189343 50.302168 1.476191
 54.814463 54.841381 0.352202
 13.100830 13.176643 0.991944
 28.914260 28.873848 -0.528749
 29.041784 29.045867 0.053415
 41.517310 41.570292 0.693223
12.280000 14.664124 28.884542 37.291011 
70.593668 77.253774 93.499309 100.811636 
65.121168 84.466083 102.992511 103.471472 
35.409322 64.930421 85.437070 95.001099 
13.100830 28.914260 41.517310 43.132603 
62.702934 71.813865 94.944223 97.981947 
35.410515 78.629453 98.178550 86.698471 
67.255191 86.991258 81.871142 88.701248 
27.012464 50.189343 54.814463 71.445211 
29.041784 53.894340 55.742190 61.540795 

2 10 57.563526 -1.254840 9.221263
0.018006 1.000000 0.370470 -0.109437 -0.161202 8.530996 0.058185 -0.011412 -2.047341  2 3 4 5 6 7 8
0.204093 -0.739402 0.591933  0.206933 -1.606812 -0.486453
2.414684 0.967333  -0.911894 -0.639247  -0.222805 -0.312302
 12.280000 12.317992 1.144012
 12.643212 12.679074 1.079884
 17.137732 17.176780 1.175815
 29.164146 29.155693 -0.254543
 28.465322 28.501736 1.096504
 53.399409 53.436476 1.116148
 54.766045 54.795096 0.874794
 61.839130 61.844293 0.155459
 28.465322 28.478596 0.399725
 37.238527 37.252703 0.426852
 53.399409 53.422744 0.702656
 54.766045 54.773774 0.232757
 29.589965 29.610921 0.631022
 35.393853 35.381464 -0.373077
 54.033011 54.025587 -0.223551
 55.460684 55.496796 1.087398
 12.280000 12.358430 1.180839
 17.137732 17.215758 1.174770
 29.164146 29.152955 -0.168503
 29.589965 29.485473 -1.573233
 28.465322 28.514351 0.738187
 53.399409 53.435497 0.543337
 54.766045 54.813631 0.716452
 71.424896 71.492091 1.011688
 28.465322 28.515726 0.758885
 37.238527 37.266892 0.427057
 53.399409 53.484088 1.274925
 54.766045 54.791898 0.389242
 12.643212 12.712564 1.044167
 29.169811 29.153147 -0.250895
 29.589965 29.563174 -0.403364
 41.053568 41.059643 0.091476
12.280000 17.137732 29.164146 36.436800 
71.424896 75.761024 93.208603 89.750213 
63.853850 86.804580 96.905884 101.128650 
37.238527 64.677217 81.123200 96.481273 
12.643212 29.169811 41.053568 50.105531 
61.839130 72.429435 93.003587 95.358517 
35.393853 77.365607 91.090376 91.507182 
71.782788 86.667744 80.198244 91.284687 
28.465322 53.399409 54.766045 71.805789 
29.589965 54.033011 55.460684 65.740443 

2 99 65.059699 -7.607216 9.756506
0.000000 1.000000 -0.176646 -0.063807 -0.051126 3.795021 -0.011820 1.094648 -1.385712  2 3 4 5 6 7 8
0.183653 -0.399467 -0.277247  0.202410 -1.259410 -0.113961
1.935119 1.035103  -0.480670 -0.239943  0.294943 0.065485
 12.280000 12.306404 0.756971
 14.686137 14.739928 1.542126
 19.884584 19.881954 -0.075412
 23.787610 23.752530 -1.005701
 26.559057 26.582153 0.662118
 48.832377 48.854752 0.641477
 53.903491 53.916994 0.387112
 56.587523 56.584030 -0.100139
 26.559057 26.571664 0.361417
 27.405776 27.410266 0.128710
 48.832377 48.832720 0.009836
 53.903491 53.904554 0.030458
 23.787610 23.796274 0.248408
 26.307558 26.299826 -0.221670
 48.784383 48.800253 0.454956
 52.200801 52.198383 -0.069339
 12.280000 12.332797 0.756820
 19.884584 19.879216 -0.076948
 23.787610 23.737057 -0.724651
 24.375129 24.393011 0.256325
 26.559057 26.607805 0.698779
 48.832377 48.853145 0.297703
 53.903491 53.918721 0.218313
 66.644297 66.786886 2.043937
 26.559057 26.581707 0.324665
 27.405776 27.414767 0.128878
 48.832377 48.856963 0.352427
 53.903491 53.917551 0.201541
 14.686137 14.792365 1.522724
 23.787610 23.909145 1.742154
 24.232633 24.310194 1.111801
 24.370358 24.373551 0.045775
12.280000 19.884584 24.375129 31.822966 
68.582828 74.567505 87.777682 95.137493 
54.901007 78.057615 83.549050 88.016580 
27.405776 55.657419 79.500089 86.129813 
14.686137 24.232633 24.370358 47.963788 
56.587523 71.791497 88.888551 90.977854 
26.307558 79.172922 83.532196 86.661868 
69.566157 73.641601 87.054265 86.019501 
26.559057 48.832377 53.903491 66.644297 
23.787610 48.784383 52.200801 63.690651