Incidence matrix according to Dynkin symbol

o3o3o3x *c3o3o3x

o3o3o3o *c3o3o3o | 4032 |    20     6 |     90    60    15 |    60    60    180    60    20 |    15    30   120    15    60    90    15    20 |    6    30    6   30    60    6   15 |  1   6   15   1   6
-----------------+------+-------------+--------------------+--------------------------------+-------------------------------------------------+--------------------------------------+--------------------
. . . x    . . . |    2 | 40320     * |      9     3     0 |     9     9     18     3     0 |     3     9    18     3     9     9     0     1 |    3     6    3    9     9    0    3 |  1   3    3   0   3
. . . .    . . x |    2 |     * 12096 |      0    10     5 |     0     0     30    20    10 |     0     0    20     0    10    30    10    10 |    0     5    0    5    20    5   10 |  0   1    5   1   5
-----------------+------+-------------+--------------------+--------------------------------+-------------------------------------------------+--------------------------------------+--------------------
. . o3x    . . . |    3 |     3     0 | 120960     *     * |     2     2      2     0     0 |     1     4     4     1     2     1     0     0 |    2     2    2    4     2    0    1 |  1   2    1   0   2
. . . x    . . x |    4 |     2     2 |      * 60480     * |     0     0      6     2     0 |     0     0     6     0     3     6     0     1 |    0     2    0    3     6    0    3 |  0   1    2   0   3
. . . .    . o3x |    3 |     0     3 |      *     * 20160 |     0     0      0     4     4 |     0     0     0     0     0     6     6     4 |    0     0    0    0     4    4    6 |  0   0    1   1   4
-----------------+------+-------------+--------------------+--------------------------------+-------------------------------------------------+--------------------------------------+--------------------
. o3o3x    . . . ♦    4 |     6     0 |      4     0     0 | 60480     *      *     *     * |     1     2     2     0     0     0     0     0 |    2     2    1    2     1    0    0 |  1   2    1   0   1
. . o3x *c3o . . ♦    4 |     6     0 |      4     0     0 |     * 60480      *     *     * |     0     2     0     1     1     0     0     0 |    1     0    2    2     0    0    1 |  1   1    0   0   2
. . o3x    . . x ♦    6 |     6     3 |      2     3     0 |     *     * 120960     *     * |     0     0     2     0     1     1     0     0 |    0     1    0    2     2    0    1 |  0   1    1   0   2
. . . x    . o3x ♦    6 |     3     6 |      0     3     2 |     *     *      * 40320     * |     0     0     0     0     0     3     0     1 |    0     0    0    0     3    0    3 |  0   0    1   0   3
. . . .    o3o3x ♦    4 |     0     6 |      0     0     4 |     *     *      *     * 20160 |     0     0     0     0     0     0     3     1 |    0     0    0    0     0    3    3 |  0   0    0   1   3
-----------------+------+-------------+--------------------+--------------------------------+-------------------------------------------------+--------------------------------------+--------------------
o3o3o3x    . . . ♦    5 |    10     0 |     10     0     0 |     5     0      0     0     0 | 12096     *     *     *     *     *     *     * |    2     2    0    0     0    0    0 |  1   2    1   0   0
. o3o3x *c3o . . ♦    8 |    24     0 |     32     0     0 |     8     8      0     0     0 |     * 15120     *     *     *     *     *     * |    1     0    1    1     0    0    0 |  1   1    0   0   1
. o3o3x    . . x ♦    8 |    12     4 |      8     6     0 |     2     0      4     0     0 |     *     * 60480     *     *     *     *     * |    0     1    0    1     1    0    0 |  0   1    1   0   1
. . o3x *c3o3o . ♦    5 |    10     0 |     10     0     0 |     0     5      0     0     0 |     *     *     * 12096     *     *     *     * |    0     0    2    0     0    0    1 |  1   0    0   0   2
. . o3x *c3o . x ♦    8 |    12     4 |      8     6     0 |     0     2      4     0     0 |     *     *     *     * 30240     *     *     * |    0     0    0    2     0    0    1 |  0   1    0   0   2
. . o3x    . o3x ♦    9 |     9     9 |      3     9     3 |     0     0      3     3     0 |     *     *     *     *     * 40320     *     * |    0     0    0    0     2    0    1 |  0   0    1   0   2
. . o . *c3o3o3x ♦    5 |     0    10 |      0     0    10 |     0     0      0     0     5 |     *     *     *     *     *     * 12096     * |    0     0    0    0     0    2    1 |  0   0    0   1   2
. . . x    o3o3x ♦    8 |     4    12 |      0     6     8 |     0     0      0     4     2 |     *     *     *     *     *     *     * 10080 |    0     0    0    0     0    0    3 |  0   0    0   0   3
-----------------+------+-------------+--------------------+--------------------------------+-------------------------------------------------+--------------------------------------+--------------------
o3o3o3x *c3o . . ♦   16 |    80     0 |    160     0     0 |    80    40      0     0     0 |    16    10     0     0     0     0     0     0 | 1512     *    *    *     *    *    * |  1   1    0   0   0
o3o3o3x    . . x ♦   10 |    20     5 |     20    10     0 |    10     0     10     0     0 |     2     0     5     0     0     0     0     0 |    * 12096    *    *     *    *    * |  0   1    1   0   0
. o3o3x *c3o3o . ♦   16 |    80     0 |    160     0     0 |    40    80      0     0     0 |     0    10     0    16     0     0     0     0 |    *     * 1512    *     *    *    * |  1   0    0   0   1
. o3o3x *c3o . x ♦   16 |    48     8 |     64    24     0 |    16    16     32     0     0 |     0     2     8     0     8     0     0     0 |    *     *    * 7560     *    *    * |  0   1    0   0   1
. o3o3x    . o3x ♦   12 |    18    12 |     12    18     4 |     3     0     12     6     0 |     0     0     3     0     0     4     0     0 |    *     *    *    * 20160    *    * |  0   0    1   0   1
. o3o . *c3o3o3x ♦    6 |     0    15 |      0     0    20 |     0     0      0     0    15 |     0     0     0     0     0     0     6     0 |    *     *    *    *     * 4032    * |  0   0    0   1   1
. . o3x *c3o3o3x ♦   30 |    60    60 |     60    90    60 |     0    30     60    60    30 |     0     0     0     6    15    20     6    15 |    *     *    *    *     *    * 2016 |  0   0    0   0   2
-----------------+------+-------------+--------------------+--------------------------------+-------------------------------------------------+--------------------------------------+--------------------
o3o3o3x *c3o3o . ♦   72 |   720     0 |   2160     0     0 |  1080  1080      0     0     0 |   216   270     0   216     0     0     0     0 |   27     0   27    0     0    0    0 | 56   *    *   *   *
o3o3o3x *c3o . x ♦   32 |   160    16 |    320    80     0 |   160    80    160     0     0 |    32    20    80     0    40     0     0     0 |    2    16    0   10     0    0    0 |  * 756    *   *   *
o3o3o3x    . o3x ♦   15 |    30    15 |     30    30     5 |    15     0     30    10     0 |     3     0    15     0     0    10     0     0 |    0     3    0    0     5    0    0 |  *   * 4032   *   *
o3o3o . *c3o3o3x ♦    7 |     0    21 |      0     0    35 |     0     0      0     0    35 |     0     0     0     0     0     0    21     0 |    0     0    0    0     0    7    0 |  *   *    * 576   *
. o3o3x *c3o3o3x ♦  192 |   960   480 |   1920  1440   640 |   480   960   1920   960   480 |     0   120   480   192   480   640   192   240 |    0     0   12   60   160   32   32 |  *   *    *   * 126