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|    N* |  m | degseq   | compseq    |cycle |   N*^c|     N | edges
|----------------------------------------------------------------------------
|     1 |  0 | 00000    | 0:11111    | 0  0 |    34 |     1 | (emptyset)
|     2 |  1 | 00011    | 1:1112     | 0  0 |    33 |     2 | 12 
|     3 |  2 | 00112    | 2:113      | 0  0 |    32 |     3 | 12 13 
|     4 |  2 | 01111    | 2:122      | 0  0 |    31 |     4 | 12 34 
|     5 |  3 | 00222    | 2:113      | 3  1 |    30 |     5 | 12 13 23 
|     6 |  3 | 01113    | 3:14       | 0  0 |    29 |     6 | 12 13 14 
|     7 |  3 | 01122    | 3:14       | 0  0 |    28 |     7 | 12 13 24 
|     8 |  3 | 11112    | 3:23       | 0  0 |    27 |     8 | 12 13 45 
|     9 |  4 | 01223    | 3:14       | 3  1 |    26 |     9 | 12 13 14 23 
|    10 |  4 | 02222    | 3:14       | 4  1 |    25 |    10 | 12 13 24 34 
|    11 |  4 | 11114    | 4:5        | 0  0 |    24 |    11 | 12 13 14 15 
|    12 |  4 | 11123    | 4:5        | 0  0 |    23 |    12 | 12 13 14 25 
|    13 |  4 | 11222    | 3:23       | 3  1 |    22 |    13 | 12 13 23 45 
|    14 |  4 | 11222    | 4:5        | 0  0 |    21 |    14 | 12 13 24 35 
|    15 |  5 | 02233    | 3:14       | 3  2 |    20 |    15 | 12 13 14 23 24 
|    16 |  5 | 12223    | 4:5        | 3  1 |    19 |    16 | 12 13 14 23 45 
|    17 |  5 | 11233    | 4:5        | 3  1 |    17 |    19 | 12 13 14 23 25 
|    18 |  5 | 22222    | 4:5        | 5  1 |    18 |    17 | 12 13 24 35 45 
|    19 |  5 | 12223    | 4:5        | 4  1 |    16 |    18 | 12 13 14 25 35 
|    20 |  5 | 11224    | 4:5        | 3  1 |    15 |    20 | 12 13 14 15 23 
|    21 |  6 | 22233    | 4:5        | 3  1 |    14 |    21 | 12 13 14 23 25 45 
|    22 |  6 | 22233    | 4:5        | 4  3 |    13 |    22 | 12 13 14 25 35 45 
|    23 |  6 | 12333    | 4:5        | 3  2 |    12 |    23 | 12 13 14 23 24 35 
|    24 |  6 | 03333    | 3:14       | 3  4 |    11 |    24 | 12 13 14 23 24 34 
|    25 |  6 | 22224    | 4:5        | 3  2 |    10 |    25 | 12 13 14 15 23 45 
|    26 |  6 | 12234    | 4:5        | 3  2 |     9 |    26 | 12 13 14 15 23 24 
|    27 |  7 | 23333    | 4:5        | 3  2 |     8 |    27 | 12 13 14 23 24 35 45 
|    28 |  7 | 22334    | 4:5        | 3  3 |     7 |    28 | 12 13 14 15 23 24 35 
|    29 |  7 | 13334    | 4:5        | 3  4 |     6 |    29 | 12 13 14 15 23 24 34 
|    30 |  7 | 22244    | 4:5        | 3  3 |     5 |    30 | 12 13 14 15 23 24 25 
|    31 |  8 | 33334    | 4:5        | 3  4 |     4 |    31 | 12 13 14 15 23 24 35 45 
|    32 |  8 | 23344    | 4:5        | 3  5 |     3 |    32 | 12 13 14 15 23 24 25 34 
|    33 |  9 | 33444    | 4:5        | 3  7 |     2 |    33 | 12 13 14 15 23 24 25 34 35 
|    34 | 10 | 44444    | 4:5        | 3 10 |     1 |    34 | 12 13 14 15 23 24 25 34 35 45 
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