Incidence matrix according to Dynkin symbol

xoo3ofx3xoo3ooo3ooo&#xt   → height(1,2) = sqrt[(3 sqrt(5)-5)/6] = 0.533573
                            height(2,3) = sqrt[sqrt(5)/3] = 0.863340
(sarx || f-rix || rix)

o..3o..3o..3o..3o..     | 60  *  * |  2   6   2  0  0 |  1  6  3   6  2  1   6  0  0 |  3  6  3  2  1  6  3   6  0  0 | 3  2 1  3  6  3  2 0 0 | 1 3  2 1 0
.o.3.o.3.o.3.o.3.o.     |  * 15  * |  0   0   8  1  0 |  0  0  0   0  4  8  12  0  0 |  0  0  0  0  4  6 12   8  0  0 | 0  0 0  6  4  8  2 0 0 | 0 4  1 2 0
..o3..o3..o3..o3..o     |  *  * 15 |  0   0   0  1  8 |  0  0  0   0  0  8   0  4 12 |  0  0  0  0  4  0 12   0  6  8 | 0  0 0  6  0  8  0 4 2 | 0 4  0 2 1
------------------------+----------+------------------+------------------------------+--------------------------------+------------------------+-----------
x.. ... ... ... ...     |  2  0  0 | 60   *   *  *  * |  1  3  0   0  1  0   0  0  0 |  3  3  0  0  1  3  0   0  0  0 | 3  1 0  3  3  0  0 0 0 | 1 3  1 0 0
... ... x.. ... ...     |  2  0  0 |  * 180   *  *  * |  0  1  1   2  0  0   1  0  0 |  1  2  2  1  0  1  1   2  0  0 | 2  1 1  1  2  2  1 0 0 | 1 2  1 1 0
oo.3oo.3oo.3oo.3oo.&#x  |  1  1  0 |  *   * 120  *  * |  0  0  0   0  1  1   3  0  0 |  0  0  0  0  1  3  3   3  0  0 | 0  0 0  3  3  3  1 0 0 | 0 3  1 1 0
.oo3.oo3.oo3.oo3.oo&#x  |  0  1  1 |  *   *   * 15  * ♦  0  0  0   0  0  8   0  0  0 |  0  0  0  0  4  0 12   0  0  0 | 0  0 0  6  0  8  0 0 0 | 0 4  0 2 0
... ..x ... ... ...     |  0  0  2 |  *   *   *  * 60 |  0  0  0   0  0  1   0  1  3 |  0  0  0  0  1  0  3   0  3  3 | 0  0 0  3  0  3  0 3 1 | 0 3  0 1 1
------------------------+----------+------------------+------------------------------+--------------------------------+------------------------+-----------
x..3o.. ... ... ...     |  3  0  0 |  3   0   0  0  0 | 20  *  *   *  *  *   *  *  * |  3  0  0  0  1  0  0   0  0  0 | 3  0 0  3  0  0  0 0 0 | 1 3  0 0 0
x.. ... x.. ... ...     |  4  0  0 |  2   2   0  0  0 |  * 90  *   *  *  *   *  *  * |  1  2  0  0  0  1  0   0  0  0 | 2  1 0  1  2  0  0 0 0 | 1 2  1 0 0
... o..3x.. ... ...     |  3  0  0 |  0   3   0  0  0 |  *  * 60   *  *  *   *  *  * |  1  0  2  0  0  0  1   0  0  0 | 2  0 1  1  0  2  0 0 0 | 1 2  0 1 0
... ... x..3o.. ...     |  3  0  0 |  0   3   0  0  0 |  *  *  * 120  *  *   *  *  * |  0  1  1  1  0  0  0   1  0  0 | 1  1 1  0  1  1  1 0 0 | 1 1  1 1 0
xo. ... ... ... ...&#x  |  2  1  0 |  1   0   2  0  0 |  *  *  *   * 60  *   *  *  * |  0  0  0  0  1  3  0   0  0  0 | 0  0 0  3  3  0  0 0 0 | 0 3  1 0 0
... ofx ... ... ...&#xt |  1  2  2 |  0   0   2  2  1 |  *  *  *   *  * 60   *  *  * |  0  0  0  0  1  0  3   0  0  0 | 0  0 0  3  0  3  0 0 0 | 0 3  0 1 0
... ... xo. ... ...&#x  |  2  1  0 |  0   1   2  0  0 |  *  *  *   *  *  * 180  *  * |  0  0  0  0  0  1  1   2  0  0 | 0  0 0  1  2  2  1 0 0 | 0 2  1 1 0
..o3..x ... ... ...     |  0  0  3 |  0   0   0  0  3 |  *  *  *   *  *  *   * 20  * |  0  0  0  0  1  0  0   0  3  0 | 0  0 0  3  0  0  0 3 0 | 0 3  0 0 1
... ..x3..o ... ...     |  0  0  3 |  0   0   0  0  3 |  *  *  *   *  *  *   *  * 60 |  0  0  0  0  0  0  1   0  1  2 | 0  0 0  1  0  2  0 2 1 | 0 2  0 1 1
------------------------+----------+------------------+------------------------------+--------------------------------+------------------------+-----------
x..3o..3x.. ... ...     ♦ 12  0  0 | 12  12   0  0  0 |  4  6  4   0  0  0   0  0  0 | 15  *  *  *  *  *  *   *  *  * | 2  0 0  1  0  0  0 0 0 | 1 2  0 0 0
x.. ... x..3o.. ...     ♦  6  0  0 |  3   6   0  0  0 |  0  3  0   2  0  0   0  0  0 |  * 60  *  *  *  *  *   *  *  * | 1  1 0  0  1  0  0 0 0 | 1 1  1 0 0
... o..3x..3o.. ...     ♦  6  0  0 |  0  12   0  0  0 |  0  0  4   4  0  0   0  0  0 |  *  * 30  *  *  *  *   *  *  * | 1  0 1  0  0  1  0 0 0 | 1 1  0 1 0
... ... x..3o..3o..     ♦  4  0  0 |  0   6   0  0  0 |  0  0  0   4  0  0   0  0  0 |  *  *  * 30  *  *  *   *  *  * | 0  1 1  0  0  0  1 0 0 | 1 0  1 1 0
xoo3ofx ... ... ...&#xt ♦  3  3  3 |  3   0   6  3  3 |  1  0  0   0  3  3   0  1  0 |  *  *  *  * 20  *  *   *  *  * | 0  0 0  3  0  0  0 0 0 | 0 3  0 0 0
xo. ... xo. ... ...&#x  ♦  4  1  0 |  2   2   4  0  0 |  0  1  0   0  2  0   2  0  0 |  *  *  *  *  * 90  *   *  *  * | 0  0 0  1  2  0  0 0 0 | 0 2  1 0 0
... ofx3xoo ... ...&#xt ♦  3  3  3 |  0   3   6  3  3 |  0  0  1   0  0  3   3  0  1 |  *  *  *  *  *  * 60   *  *  * | 0  0 0  1  0  2  0 0 0 | 0 2  0 1 0
... ... xo.3oo. ...&#x  ♦  3  1  0 |  0   3   3  0  0 |  0  0  0   1  0  0   3  0  0 |  *  *  *  *  *  *  * 120  *  * | 0  0 0  0  1  1  1 0 0 | 0 1  1 1 0
..o3..x3..o ... ...     ♦  0  0  6 |  0   0   0  0 12 |  0  0  0   0  0  0   0  4  4 |  *  *  *  *  *  *  *   * 15  * | 0  0 0  1  0  0  0 2 0 | 0 2  0 0 1
... ..x3..o3..o ...     ♦  0  0  4 |  0   0   0  0  6 |  0  0  0   0  0  0   0  0  4 |  *  *  *  *  *  *  *   *  * 30 | 0  0 0  0  0  1  0 1 1 | 0 1  0 1 1
------------------------+----------+------------------+------------------------------+--------------------------------+------------------------+-----------
x..3o..3x..3o.. ...     ♦ 30  0  0 | 30  60   0  0  0 | 10 30 20  20  0  0   0  0  0 |  5 10  5  0  0  0  0   0  0  0 | 6  * *  *  *  *  * * * | 1 1  0 0 0
x.. ... x..3o..3o..     ♦  8  0  0 |  4  12   0  0  0 |  0  6  0   8  0  0   0  0  0 |  0  4  0  2  0  0  0   0  0  0 | * 15 *  *  *  *  * * * | 1 0  1 0 0
... o..3x..3o..3o..     ♦ 10  0  0 |  0  30   0  0  0 |  0  0 10  20  0  0   0  0  0 |  0  0  5  5  0  0  0   0  0  0 | *  * 6  *  *  *  * * * | 1 0  0 1 0
xoo3ofx3xoo ... ...&#xt ♦ 12  6  6 | 12  12  24  6 12 |  4  6  4   0 12 12  12  4  4 |  1  0  0  0  4  6  4   0  1  0 | *  * * 15  *  *  * * * | 0 2  0 0 0
xo. ... xo.3oo. ...&#x  ♦  6  1  0 |  3   6   6  0  0 |  0  3  0   2  3  0   6  0  0 |  0  1  0  0  0  3  0   2  0  0 | *  * *  * 60  *  * * * | 0 1  1 0 0
... ofx3xoo3ooo ...&#xt ♦  6  4  4 |  0  12  12  4  6 |  0  0  4   4  0  6  12  0  4 |  0  0  1  0  0  0  4   4  0  1 | *  * *  *  * 30  * * * | 0 1  0 1 0
... ... xo.3oo.3oo.&#x  ♦  4  1  0 |  0   6   4  0  0 |  0  0  0   4  0  0   6  0  0 |  0  0  0  1  0  0  0   4  0  0 | *  * *  *  *  * 30 * * | 0 0  1 1 0
..o3..x3..o3..o ...     ♦  0  0 10 |  0   0   0  0 30 |  0  0  0   0  0  0   0 10 20 |  0  0  0  0  0  0  0   0  5  5 | *  * *  *  *  *  * 6 * | 0 1  0 0 1
... ..x3..o3..o3..o     ♦  0  0  5 |  0   0   0  0 10 |  0  0  0   0  0  0   0  0 10 |  0  0  0  0  0  0  0   0  0  5 | *  * *  *  *  *  * * 6 | 0 0  0 1 1
------------------------+----------+------------------+------------------------------+--------------------------------+------------------------+-----------
x..3o..3x..3o..3o..     ♦ 60  0  0 | 60 180   0  0  0 | 20 90 60 120  0  0   0  0  0 | 15 60 30 30  0  0  0   0  0  0 | 6 15 6  0  0  0  0 0 0 | 1 *  * * *
xoo3ofx3xoo3ooo ...&#xt ♦ 30 10 10 | 30  60  60 10 30 | 10 30 20  20 30 30  60 10 20 |  5 10  5  0 10 30 20  20  5  5 | 1  0 0  5 10  5  0 1 0 | * 6  * * *
xo. ... xo.3oo.3oo.&#x  ♦  8  1  0 |  4  12   8  0  0 |  0  6  0   8  4  0  12  0  0 |  0  4  0  2  0  6  0   8  0  0 | 0  1 0  0  4  0  2 0 0 | * * 15 * *
... ofx3xoo3ooo3ooo&#xt ♦ 10  5  5 |  0  30  20  5 10 |  0  0 10  20  0 10  30  0 10 |  0  0  5  5  0  0 10  20  0  5 | 0  0 1  0  0  5  5 0 1 | * *  * 6 *
..o3..x3..o3..o3..o     ♦  0  0 15 |  0   0   0  0 60 |  0  0  0   0  0  0   0 20 60 |  0  0  0  0  0  0  0   0 15 30 | 0  0 0  0  0  0  0 6 6 | * *  * * 1