Incidence matrix according to Dynkin symbol

xo3oo3oo oo3ox3oo3oo&#x   → height = 1/sqrt(40) = 0.158114
(pyramid product of tet with rap)

o.3o.3o. o.3o.3o.3o.    | 4  * ♦ 3 10  0 | 3 30  30  0  0 | 1 30  90 10 20 0 0 | 10  90 30  60  5  5 0 | 30 30 60 15 15 1 | 10 20 15 15 3 | 5 5 3
.o3.o3.o .o3.o3.o3.o    | * 10 ♦ 0  4  6 | 0  6  24  3  6 | 0  4  36 12 24 3 2 |  1  24 18  36 12  8 1 |  6 12 24 18 12 4 |  3  6 12  8 6 | 3 2 4
------------------------+------+---------+----------------+--------------------+-----------------------+------------------+---------------+------
x. .. .. .. .. .. ..    | 2  0 | 6  *  * ♦ 2 10   0  0  0 | 1 20  30  0  0 0 0 | 10  60 10  20  0  0 0 | 30 20 40  5  5 0 | 10 20 10 10 1 | 5 5 2
oo3oo3oo oo3oo3oo3oo&#x | 1  1 | * 40  * ♦ 0  3   6  0  0 | 0  3  18  3  6 0 0 |  1  18  9  18  3  2 0 |  6  9 18  9  6 1 |  3  6  9  6 3 | 3 2 3
.. .. .. .. .x .. ..    | 0  2 | *  * 30 | 0  0   4  1  2 | 0  0   6  4  8 2 1 |  0   4  6  12  8  4 1 |  1  4  8 12  6 4 |  1  2  8  4 6 | 2 1 4
------------------------+------+---------+----------------+--------------------+-----------------------+------------------+---------------+------
x.3o. .. .. .. .. ..    | 3  0 | 3  0  0 | 4  *   *  *  * ♦ 1 10   0  0  0 0 0 | 10  30  0   0  0  0 0 | 30 10 20  0  0 0 | 10 20  5  5 0 | 5 5 1
xo .. .. .. .. .. ..&#x | 2  1 | 1  2  0 | * 60   *  *  * ♦ 0  2   6  0  0 0 0 |  1  12  3   6  0  0 0 |  6  6 12  3  2 0 |  3  6  6  4 1 | 3 2 2
.. .. .. .. ox .. ..&#x | 1  2 | 0  2  1 | *  * 120  *  * | 0  0   3  1  2 0 0 |  0   3  3   6  2  1 0 |  1  3  6  6  3 1 |  1  2  6  3 3 | 2 1 3
.. .. .. .o3.x .. ..    | 0  3 | 0  0  3 | *  *   * 10  * | 0  0   0  4  0 2 0 |  0   0  6   0  8  0 1 |  0  4  0 12  0 4 |  1  0  8  0 6 | 2 0 4
.. .. .. .. .x3.o ..    | 0  3 | 0  0  3 | *  *   *  * 20 | 0  0   0  0  4 1 1 |  0   0  0   6  4  4 1 |  0  0  4  6  6 4 |  0  1  4  4 6 | 1 1 4
------------------------+------+---------+----------------+--------------------+-----------------------+------------------+---------------+------
x.3o.3o. .. .. .. ..    ♦ 4  0 | 6  0  0 | 4  0   0  0  0 | 1  *   *  *  * * * ♦ 10   0  0   0  0  0 0 | 30  0  0  0  0 0 | 10 20  0  0 0 | 5 5 0
xo3oo .. .. .. .. ..&#x ♦ 3  1 | 3  3  0 | 1  3   0  0  0 | * 40   *  *  * * * ♦  1   6  0   0  0  0 0 |  6  3  6  0  0 0 |  3  6  3  2 0 | 3 2 1
xo .. .. .. ox .. ..&#x ♦ 2  2 | 1  4  1 | 0  2   2  0  0 | *  * 180  *  * * * |  0   2  1   2  0  0 0 |  1  2  4  2  1 0 |  1  2  4  2 1 | 2 1 2
.. .. .. oo3ox .. ..&#x ♦ 1  3 | 0  3  3 | 0  0   3  1  0 | *  *   * 40  * * * |  0   0  3   0  2  0 0 |  0  3  0  6  0 1 |  1  0  6  0 3 | 2 0 3
.. .. .. .. ox3oo ..&#x ♦ 1  3 | 0  3  3 | 0  0   3  0  1 | *  *   *  * 80 * * |  0   0  0   3  1  1 0 |  0  0  3  3  3 1 |  0  1  3  3 3 | 1 1 3
.. .. .. .o3.x3.o ..    ♦ 0  6 | 0  0 12 | 0  0   0  4  4 | *  *   *  *  * 5 * |  0   0  0   0  4  0 1 |  0  0  0  6  0 4 |  0  0  4  0 6 | 1 0 4
.. .. .. .. .x3o.3o.    ♦ 0  4 | 0  0  6 | 0  0   0  0  4 | *  *   *  *  * * 5 |  0   0  0   0  0  4 1 |  0  0  0  0  6 4 |  0  0  0  4 6 | 0 1 4
------------------------+------+---------+----------------+--------------------+-----------------------+------------------+---------------+------
xo3oo3oo .. .. .. ..&#x ♦ 4  1 | 6  4  0 | 4  6   0  0  0 | 1  4   0  0  0 0 0 | 10   *  *   *  *  * * ♦  6  0  0  0  0 0 |  3  6  0  0 0 | 3 2 0
xo3oo .. .. ox .. ..&#x ♦ 3  2 | 3  6  1 | 1  6   3  0  0 | 0  2   3  0  0 0 0 |  * 120  *   *  *  * * |  1  1  2  0  0 0 |  1  2  2  1 0 | 2 1 1
xo .. .. oo3ox .. ..&#x ♦ 2  3 | 1  6  3 | 0  3   6  1  0 | 0  0   3  2  0 0 0 |  *   * 60   *  *  * * |  0  2  0  2  0 0 |  1  0  4  0 1 | 2 0 2
xo .. .. .. ox3oo ..&#x ♦ 2  3 | 1  6  3 | 0  3   6  0  1 | 0  0   3  0  2 0 0 |  *   *  * 120  *  * * |  0  0  2  1  1 0 |  0  1  2  2 1 | 1 1 2
.. .. .. oo3ox3oo ..&#x ♦ 1  6 | 0  6 12 | 0  0  12  4  4 | 0  0   0  4  4 1 0 |  *   *  *   * 20  * * |  0  0  0  3  0 1 |  0  0  3  0 3 | 1 0 3
.. .. .. .. ox3oo3oo&#x ♦ 1  4 | 0  4  6 | 0  0   6  0  4 | 0  0   0  0  4 0 1 |  *   *  *   *  * 20 * |  0  0  0  0  3 1 |  0  0  0  3 3 | 0 1 3
.. .. .. .o3.x3.o3.o    ♦ 0 10 | 0  0 30 | 0  0   0 10 20 | 0  0   0  0  0 5 5 |  *   *  *   *  *  * 1 ♦  0  0  0  0  0 4 |  0  0  0  0 6 | 0 0 4
------------------------+------+---------+----------------+--------------------+-----------------------+------------------+---------------+------
xo3oo3oo .. ox .. ..&#x ♦ 4  2 | 6  8  1 | 4 12   4  0  0 | 1  8   6  0  0 0 0 |  2   4  0   0  0  0 0 | 30  *  *  *  * * |  1  2  0  0 0 | 2 1 0
xo3oo .. oo3ox .. ..&#x ♦ 3  3 | 3  9  3 | 1  9   9  1  0 | 0  3   9  3  0 0 0 |  0   3  3   0  0  0 0 |  * 40  *  *  * * |  1  0  2  0 0 | 2 0 1
xo3oo .. .. ox3oo ..&#x ♦ 3  3 | 3  9  3 | 1  9   9  0  1 | 0  3   9  0  3 0 0 |  0   3  0   3  0  0 0 |  *  * 80  *  * * |  0  1  1  1 0 | 1 1 1
xo .. .. oo3ox3oo ..&#x ♦ 2  6 | 1 12 12 | 0  6  24  4  4 | 0  0  12  8  8 1 0 |  0   0  4   4  2  0 0 |  *  *  * 30  * * |  0  0  2  0 1 | 1 0 2
xo .. .. .. ox3oo3oo&#x ♦ 2  4 | 1  8  6 | 0  4  12  0  4 | 0  0   6  0  8 0 1 |  0   0  0   4  0  2 0 |  *  *  *  * 30 * |  0  0  0  2 1 | 0 1 2
.. .. .. oo3ox3oo3oo&#x ♦ 1 10 | 0 10 30 | 0  0  30 10 20 | 0  0   0 10 20 5 5 |  0   0  0   0  5  5 1 |  *  *  *  *  * 4 |  0  0  0  0 3 | 0 0 3
------------------------+------+---------+----------------+--------------------+-----------------------+------------------+---------------+------
xo3oo3oo oo3ox .. ..&#x ♦ 4  3 | 6 12  3 | 4 18  12  1  0 | 1 12  18  4  0 0 0 |  3  12  6   0  0  0 0 |  3  4  0  0  0 0 | 10  *  *  * * | 2 0 0
xo3oo3oo .. ox3oo ..&#x ♦ 4  3 | 6 12  3 | 4 18  12  0  1 | 1 12  18  0  4 0 0 |  3  12  0   6  0  0 0 |  3  0  4  0  0 0 |  * 20  *  * * | 1 1 0
xo3oo .. oo3ox3oo ..&#x ♦ 3  6 | 3 18 12 | 1 18  36  4  4 | 0  6  36 12 12 1 0 |  0  12 12  12  3  0 0 |  0  4  4  3  0 0 |  *  * 20  * * | 1 0 1
xo3oo .. .. ox3oo3oo&#x ♦ 3  4 | 3 12  6 | 1 12  18  0  4 | 0  4  18  0 12 0 1 |  0   6  0  12  0  3 0 |  0  0  4  0  3 0 |  *  *  * 20 * | 0 1 1
xo .. .. oo3ox3oo3oo&#x ♦ 2 10 | 1 20 30 | 0 10  60 10 20 | 0  0  30 20 40 5 5 |  0   0 10  20 10 10 1 |  0  0  0  5  5 2 |  *  *  *  * 6 | 0 0 2
------------------------+------+---------+----------------+--------------------+-----------------------+------------------+---------------+------
xo3oo3oo oo3ox3oo ..&#x ♦ 4  6 | 6 24 12 | 4 36  48  4  4 | 1 24  72 16 16 1 0 |  6  48 24  24  4  0 0 | 12 16 16  6  0 0 |  4  4  4  0 0 | 5 * *
xo3oo3oo .. ox3oo3oo&#x ♦ 4  4 | 6 16  6 | 4 24  24  0  4 | 1 16  36  0 16 0 1 |  4  24  0  24  0  4 0 |  6  0 16  0  6 0 |  0  4  0  4 0 | * 5 *
xo3oo .. oo3ox3oo3oo&#x ♦ 3 10 | 3 30 30 | 1 30  90 10 20 | 0 10  90 30 60 5 5 |  0  30 30  60 15 15 1 |  0 10 20 15 15 3 |  0  0  5  5 3 | * * 4