1D Sine-Gordon Coupling Matrix
gamma = 0.065090, Nx = 2000, N_steps = 15000
======================================================================


--- Z = 3.0 ---
  n      omega   E_single
  1   0.997882     0.2798
  2   0.991539     0.5356
  3   0.980995     0.7338
  4   0.966298     0.8909
  5   0.947507     1.0142
  6   0.924704     1.1122
  7   0.897984     1.1938

Coupling matrix C(n1,n2) = E_2nd(n2|n1) / E_single(n2):
n1\n2        1        2        3        4        5        6        7
--------------------------------------------------------------------
   1      2.956    2.289    1.957    1.758    1.627    1.535    1.466
   2      3.468    2.838    2.463    2.204    2.019    1.880    1.771
   3      3.511    3.005    2.665    2.404    2.205    2.048    1.922
   4      3.413    3.003    2.705    2.459    2.261    2.101    1.969
   5      3.272    2.929    2.665    2.435    2.245    2.087    1.955
   6      3.126    2.827    2.589    2.374    2.192    2.038    1.909
   7      2.987    2.718    2.500    2.298    2.124    1.976    1.850

Asymmetry ratios C(n1->n2) / C(n2->n1):
  W(1->2)/W(2->1) = 0.5224  cos(1*pi/3) = 0.5000
  W(1->3)/W(3->1) = 0.3812  cos(2*pi/3) = -0.5000
  W(1->4)/W(4->1) = 0.3140  cos(3*pi/3) = -1.0000
  W(1->5)/W(5->1) = 0.2758  cos(4*pi/3) = -0.5000
  W(1->6)/W(6->1) = 0.2515  cos(5*pi/3) = 0.5000
  W(1->7)/W(7->1) = 0.2343  cos(6*pi/3) = 1.0000
  W(2->3)/W(3->2) = 0.7298  cos(1*pi/3) = 0.5000
  W(2->4)/W(4->2) = 0.6011  cos(2*pi/3) = -0.5000
  W(2->5)/W(5->2) = 0.5281  cos(3*pi/3) = -1.0000
  W(2->6)/W(6->2) = 0.4815  cos(4*pi/3) = -0.5000
  W(2->7)/W(7->2) = 0.4486  cos(5*pi/3) = 0.5000
  W(3->4)/W(4->3) = 0.8236  cos(1*pi/3) = 0.5000
  W(3->5)/W(5->3) = 0.7235  cos(2*pi/3) = -0.5000
  W(3->6)/W(6->3) = 0.6598  cos(3*pi/3) = -1.0000
  W(3->7)/W(7->3) = 0.6147  cos(4*pi/3) = -0.5000
  W(4->5)/W(5->4) = 0.8785  cos(1*pi/3) = 0.5000
  W(4->6)/W(6->4) = 0.8011  cos(2*pi/3) = -0.5000
  W(4->7)/W(7->4) = 0.7463  cos(3*pi/3) = -1.0000
  W(5->6)/W(6->5) = 0.9119  cos(1*pi/3) = 0.5000
  W(5->7)/W(7->5) = 0.8496  cos(2*pi/3) = -0.5000
  W(6->7)/W(7->6) = 0.9316  cos(1*pi/3) = 0.5000

Diagonal (same-channel) coupling:
  C(1,1) = 2.9561  W = 1.9561
  C(2,2) = 2.8377  W = 1.8377
  C(3,3) = 2.6648  W = 1.6648
  C(4,4) = 2.4586  W = 1.4586
  C(5,5) = 2.2446  W = 1.2446
  C(6,6) = 2.0384  W = 1.0384
  C(7,7) = 1.8499  W = 0.8499


--- Z = 5.0 ---
  n      omega   E_single
  1   0.997882     0.4749
  2   0.991539     0.9271
  3   0.980995     1.2953
  4   0.966298     1.6037
  5   0.947507     1.8618
  6   0.924704     2.0777
  7   0.897984     2.2651

Coupling matrix C(n1,n2) = E_2nd(n2|n1) / E_single(n2):
n1\n2        1        2        3        4        5        6        7
--------------------------------------------------------------------
   1      2.955    2.277    1.944    1.732    1.599    1.505    1.433
   2      3.493    2.838    2.442    2.171    1.976    1.830    1.714
   3      3.574    3.015    2.651    2.371    2.156    1.985    1.845
   4      3.472    3.026    2.697    2.426    2.203    2.024    1.875
   5      3.349    2.961    2.661    2.397    2.178    1.994    1.833
   6      3.209    2.859    2.580    2.327    2.109    1.924    1.769
   7      3.065    2.744    2.478    2.236    2.014    1.839    1.675

Asymmetry ratios C(n1->n2) / C(n2->n1):
  W(1->2)/W(2->1) = 0.5122  cos(1*pi/3) = 0.5000
  W(1->3)/W(3->1) = 0.3666  cos(2*pi/3) = -0.5000
  W(1->4)/W(4->1) = 0.2961  cos(3*pi/3) = -1.0000
  W(1->5)/W(5->1) = 0.2551  cos(4*pi/3) = -0.5000
  W(1->6)/W(6->1) = 0.2286  cos(5*pi/3) = 0.5000
  W(1->7)/W(7->1) = 0.2097  cos(6*pi/3) = 1.0000
  W(2->3)/W(3->2) = 0.7157  cos(1*pi/3) = 0.5000
  W(2->4)/W(4->2) = 0.5781  cos(2*pi/3) = -0.5000
  W(2->5)/W(5->2) = 0.4979  cos(3*pi/3) = -1.0000
  W(2->6)/W(6->2) = 0.4462  cos(4*pi/3) = -0.5000
  W(2->7)/W(7->2) = 0.4093  cos(5*pi/3) = 0.5000
  W(3->4)/W(4->3) = 0.8077  cos(1*pi/3) = 0.5000
  W(3->5)/W(5->3) = 0.6957  cos(2*pi/3) = -0.5000
  W(3->6)/W(6->3) = 0.6235  cos(3*pi/3) = -1.0000
  W(3->7)/W(7->3) = 0.5719  cos(4*pi/3) = -0.5000
  W(4->5)/W(5->4) = 0.8614  cos(1*pi/3) = 0.5000
  W(4->6)/W(6->4) = 0.7719  cos(2*pi/3) = -0.5000
  W(4->7)/W(7->4) = 0.7080  cos(3*pi/3) = -1.0000
  W(5->6)/W(6->5) = 0.8961  cos(1*pi/3) = 0.5000
  W(5->7)/W(7->5) = 0.8220  cos(2*pi/3) = -0.5000
  W(6->7)/W(7->6) = 0.9172  cos(1*pi/3) = 0.5000

Diagonal (same-channel) coupling:
  C(1,1) = 2.9548  W = 1.9548
  C(2,2) = 2.8376  W = 1.8376
  C(3,3) = 2.6511  W = 1.6511
  C(4,4) = 2.4261  W = 1.4261
  C(5,5) = 2.1777  W = 1.1777
  C(6,6) = 1.9242  W = 0.9242
  C(7,7) = 1.6748  W = 0.6748


--- Z = 10.0 ---
  n      omega   E_single
  1   0.997882     0.9680
  2   0.991539     1.9224
  3   0.980995     2.7392
  4   0.966298     3.4583
  5   0.947507     4.0861
  6   0.924704     4.6351
  7   0.897984     5.1157

Coupling matrix C(n1,n2) = E_2nd(n2|n1) / E_single(n2):
n1\n2        1        2        3        4        5        6        7
--------------------------------------------------------------------
   1      2.955    2.264    1.920    1.712    1.576    1.479    1.406
   2      3.511    2.830    2.423    2.140    1.937    1.784    1.664
   3      3.603    3.027    2.638    2.339    2.109    1.927    1.778
   4      3.544    3.052    2.690    2.393    2.151    1.962    1.793
   5      3.431    2.993    2.654    2.360    2.117    1.911    1.739
   6      3.291    2.890    2.569    2.290    2.034    1.821    1.644
   7      3.144    2.767    2.454    2.173    1.926    1.711    1.526

Asymmetry ratios C(n1->n2) / C(n2->n1):
  W(1->2)/W(2->1) = 0.5035  cos(1*pi/3) = 0.5000
  W(1->3)/W(3->1) = 0.3534  cos(2*pi/3) = -0.5000
  W(1->4)/W(4->1) = 0.2799  cos(3*pi/3) = -1.0000
  W(1->5)/W(5->1) = 0.2369  cos(4*pi/3) = -0.5000
  W(1->6)/W(6->1) = 0.2088  cos(5*pi/3) = 0.5000
  W(1->7)/W(7->1) = 0.1892  cos(6*pi/3) = 1.0000
  W(2->3)/W(3->2) = 0.7018  cos(1*pi/3) = 0.5000
  W(2->4)/W(4->2) = 0.5559  cos(2*pi/3) = -0.5000
  W(2->5)/W(5->2) = 0.4705  cos(3*pi/3) = -1.0000
  W(2->6)/W(6->2) = 0.4148  cos(4*pi/3) = -0.5000
  W(2->7)/W(7->2) = 0.3758  cos(5*pi/3) = 0.5000
  W(3->4)/W(4->3) = 0.7921  cos(1*pi/3) = 0.5000
  W(3->5)/W(5->3) = 0.6704  cos(2*pi/3) = -0.5000
  W(3->6)/W(6->3) = 0.5910  cos(3*pi/3) = -1.0000
  W(3->7)/W(7->3) = 0.5354  cos(4*pi/3) = -0.5000
  W(4->5)/W(5->4) = 0.8464  cos(1*pi/3) = 0.5000
  W(4->6)/W(6->4) = 0.7461  cos(2*pi/3) = -0.5000
  W(4->7)/W(7->4) = 0.6760  cos(3*pi/3) = -1.0000
  W(5->6)/W(6->5) = 0.8815  cos(1*pi/3) = 0.5000
  W(5->7)/W(7->5) = 0.7987  cos(2*pi/3) = -0.5000
  W(6->7)/W(7->6) = 0.9060  cos(1*pi/3) = 0.5000

Diagonal (same-channel) coupling:
  C(1,1) = 2.9549  W = 1.9549
  C(2,2) = 2.8298  W = 1.8298
  C(3,3) = 2.6380  W = 1.6380
  C(4,4) = 2.3931  W = 1.3931
  C(5,5) = 2.1174  W = 1.1174
  C(6,6) = 1.8208  W = 0.8208
  C(7,7) = 1.5264  W = 0.5264


======================================================================
SUMMARY
======================================================================
