Incidence matrix according to Dynkin symbol

oxo3ooo3ooo3ooo3ooo&#xt   → = sqrt(7/12) = 0.763763
(pt || hix || pt)

o..3o..3o..3o..3o..    | 1 * * ♦ 6  0 0 | 15  0  0 | 20  0  0 | 15 0  0 | 6 0
.o.3.o.3.o.3.o.3.o.    | * 6 * ♦ 1  5 1 |  5 10  5 | 10 10 10 | 10 5 10 | 5 5
..o3..o3..o3..o3..o    | * * 1 ♦ 0  0 6 |  0  0 15 |  0  0 20 |  0 0 15 | 0 6
-----------------------+-------+--------+----------+----------+---------+----
oo.3oo.3oo.3oo.3oo.&#x | 1 1 0 | 6  * * ♦  5  0  0 | 10  0  0 | 10 0  0 | 5 0
.x. ... ... ... ...    | 0 2 0 | * 15 * ♦  1  4  1 |  4  6  4 |  6 4  6 | 4 4
.oo3.oo3.oo3.oo3.oo&#x | 0 1 1 | *  * 6 ♦  0  0  5 |  0  0 10 |  0 0 10 | 0 5
-----------------------+-------+--------+----------+----------+---------+----
ox. ... ... ... ...&#x | 1 2 0 | 2  1 0 | 15  *  * ♦  4  0  0 |  6 0  0 | 4 0
.x.3.o. ... ... ...    | 0 3 0 | 0  3 0 |  * 20  * ♦  1  3  1 |  3 3  3 | 3 3
.xo ... ... ... ...&#x | 0 2 1 | 0  1 2 |  *  * 15 ♦  0  0  4 |  0 0  6 | 0 4
-----------------------+-------+--------+----------+----------+---------+----
ox.3oo. ... ... ...&#x ♦ 1 3 0 | 3  3 0 |  3  1  0 | 20  *  * |  3 0  0 | 3 0
.x.3.o.3.o. ... ...    ♦ 0 4 0 | 0  6 0 |  0  4  0 |  * 15  * |  1 2  1 | 2 2
.xo3.oo ... ... ...&#x ♦ 0 3 1 | 0  3 3 |  0  1  3 |  *  * 20 |  0 0  3 | 0 3
-----------------------+-------+--------+----------+----------+---------+----
ox.3oo.3oo. ... ...&#x ♦ 1 4 0 | 4  6 0 |  6  4  0 |  4  1  0 | 15 *  * | 2 0
.x.3.o.3.o.3.o. ...    ♦ 0 5 0 | 0 10 0 |  0 10  0 |  0  5  0 |  * 6  * | 1 1
.xo3.oo3.oo ... ...&#x ♦ 0 4 1 | 0  6 4 |  0  4  6 |  0  1  4 |  * * 15 | 0 2
-----------------------+-------+--------+----------+----------+---------+----
ox.3oo.3oo.3oo. ...&#x ♦ 1 5 0 | 5 10 0 | 10 10  0 | 10  5  0 |  5 1  0 | 6 *
.xo3.oo3.oo3.oo ...&#x ♦ 0 5 1 | 0 10 5 |  0 10 10 |  0  5 10 |  0 1  5 | * 6

or
o..3o..3o..3o..3o..    & | 2 * ♦  6  0 | 15  0 | 20  0 | 15 0 |  6
.o.3.o.3.o.3.o.3.o.      | * 6 |  2  5 | 10 10 | 20 10 | 20 5 | 10
-------------------------+-----+-------+-------+-------+------+---
oo.3oo.3oo.3oo.3oo.&#x & | 1 1 | 12  * ♦  5  0 | 10  0 | 10 0 |  5
.x. ... ... ... ...      | 0 2 |  * 15 ♦  2  4 |  8  6 | 12 4 |  8
-------------------------+-----+-------+-------+-------+------+---
ox. ... ... ... ...&#x & | 1 2 |  2  1 | 30  * ♦  4  0 |  6 0 |  4
.x.3.o. ... ... ...      | 0 3 |  0  3 |  * 20 ♦  2  3 |  6 3 |  6
-------------------------+-----+-------+-------+-------+------+---
ox.3oo. ... ... ...&#x & ♦ 1 3 |  3  3 |  3  1 | 40  * |  3 0 |  3
.x.3.o.3.o. ... ...      ♦ 0 4 |  0  6 |  0  4 |  * 15 |  2 2 |  4
-------------------------+-----+-------+-------+-------+------+---
ox.3oo.3oo. ... ...&#x & ♦ 1 4 |  4  6 |  6  4 |  4  1 | 30 * |  2
.x.3.o.3.o.3.o. ...      ♦ 0 5 |  0 10 |  0 10 |  0  5 |  * 6 |  2
-------------------------+-----+-------+-------+-------+------+---
ox.3oo.3oo.3oo. ...&#x & ♦ 1 5 |  5 10 | 10 10 | 10  5 |  5 1 | 12