Incidence matrix according to Dynkin symbol

o3o3o3o *c3o3o3x3x

. . . .    . . . . | 13440 |     27    1 |    216    27 |     720    216 |    1080    720 |    432    216   1080 |     72    27    432   216 |   1    72   27
-------------------+-------+-------------+--------------+----------------+----------------+----------------------+---------------------------+---------------
. . . .    . . x . |     2 | 181440    * |     16     1 |      80     16 |     160     80 |     80     40    160 |     16    10     80    40 |   1    16   10
. . . .    . . . x |     2 |      * 6720 ♦      0    27 |       0    216 |       0    720 |      0      0   1080 |      0     0    432   216 |   0    72   27
-------------------+-------+-------------+--------------+----------------+----------------+----------------------+---------------------------+---------------
. . . .    . o3x . |     3 |      3    0 | 967680     * |      10      1 |      30     10 |     20     10     30 |      5     5     20    10 |   1     5    5
. . . .    . . x3x |     6 |      3    3 |      * 60480 ♦       0     16 |       0     80 |      0      0    160 |      0     0     80    40 |   0    16   10
-------------------+-------+-------------+--------------+----------------+----------------+----------------------+---------------------------+---------------
. . . .    o3o3x . ♦     4 |      6    0 |      4     0 | 2419200      * |       6      1 |      6      3      6 |      2     3      6     3 |   1     2    3
. . . .    . o3x3x ♦    12 |     12    6 |      4     4 |       * 241920 ♦       0     10 |      0      0     30 |      0     0     20    10 |   0     5    5
-------------------+-------+-------------+--------------+----------------+----------------+----------------------+---------------------------+---------------
. . o . *c3o3o3x . ♦     5 |     10    0 |     10     0 |       5      0 | 2903040      * |      2      1      1 |      1     2      2     1 |   1     1    2
. . . .    o3o3x3x ♦    20 |     30   10 |     20    10 |       5      5 |       * 483840 ♦      0      0      6 |      0     0      6     3 |   0     2    3
-------------------+-------+-------------+--------------+----------------+----------------+----------------------+---------------------------+---------------
. o3o . *c3o3o3x . ♦     6 |     15    0 |     20     0 |      15      0 |       6      0 | 967680      *      * |      1     1      1     0 |   1     1    1
. . o3o *c3o3o3x . ♦     6 |     15    0 |     20     0 |      15      0 |       6      0 |      * 483840      * |      0     2      0     1 |   1     0    2
. . o . *c3o3o3x3x ♦    30 |     60   15 |     60    20 |      30     15 |       6      6 |      *      * 483840 |      0     0      2     1 |   0     1    2
-------------------+-------+-------------+--------------+----------------+----------------+----------------------+---------------------------+---------------
o3o3o . *c3o3o3x . ♦     7 |     21    0 |     35     0 |      35      0 |      21      0 |      7      0      0 | 138240     *      *     * |   1     1    0
. o3o3o *c3o3o3x . ♦    12 |     60    0 |    160     0 |     240      0 |     192      0 |     32     32      0 |      * 30240      *     * |   1     0    1
. o3o . *c3o3o3x3x ♦    42 |    105   21 |    140    35 |     105     35 |      42     21 |      7      0      7 |      *     * 138240     * |   0     1    1
. . o3o *c3o3o3x3x ♦    42 |    105   21 |    140    35 |     105     35 |      42     21 |      0      7      7 |      *     *      * 69120 |   0     0    2
-------------------+-------+-------------+--------------+----------------+----------------+----------------------+---------------------------+---------------
o3o3o3o *c3o3o3x . ♦    56 |    756    0 |   4032     0 |   10080      0 |   12096      0 |   4032   2016      0 |    576   126      0     0 | 240     *    *
o3o3o . *c3o3o3x3x ♦    56 |    168   28 |    280    56 |     280     70 |     168     56 |     56      0     28 |      8     0      8     0 |   * 17280    *
. o3o3o *c3o3o3x3x ♦   168 |    840   84 |   2240   280 |    3360    560 |    2688    672 |    448    448    448 |      0    14     64    64 |   *     * 2160