Incidence matrix according to Dynkin symbol

ofx3xoo3ooo3ooo3ooo *c3ooo&#xt   → height(1,2) = sqrt[(3 sqrt(5)-5)/6] = 0.533573
                                   height(2,3) = sqrt[sqrt(5)/3] = 0.863340
(rojak || f-jak || jak)

o..3o..3o..3o..3o.. *c3o..     | 216  *  * |   20   2  0   0 |  10   60   1   20   0 |   30   40   20  10   60    0 |  20  10  10  10   30   40   20   0   0 |  5  5  2  20  10  10  10  0  0 | 1  5  5  2 0
.o.3.o.3.o.3.o.3.o. *c3.o.     |   * 27  * |    0  16  1   0 |   0    0  16   80   0 |    0    0    0  80  160    0 |   0   0   0   0  160   80   40   0   0 |  0  0  0  80  40  16  10  0  0 | 0 16 10  1 0
..o3..o3..o3..o3..o *c3..o     |   *  * 27 |    0   0  1  16 |   0    0  16    0  80 |    0    0    0  80    0  160 |   0   0   0   0  160    0    0  80  40 |  0  0  0  80  40   0   0 16 10 | 0 16 10  0 1
-------------------------------+-----------+-----------------+-----------------------+------------------------------+----------------------------------------+--------------------------------+-------------
... x.. ... ... ...    ...     |   2  0  0 | 2160   *  *   * |   1    6   0    1   0 |    6    6    3   1    6    0 |   6   3   2   3    6    6    3   0   0 |  2  3  1   6   3   2   3  0  0 | 1  2  3  1 0
oo.3oo.3oo.3oo.3oo. *c3oo.&#x  |   1  1  0 |    * 432  *   * |   0    0   1   10   0 |    0    0    0  10   30    0 |   0   0   0   0   30   20   10   0   0 |  0  0  0  20  10   5   5  0  0 | 0  5  5  1 0
.oo3.oo3.oo3.oo3.oo *c3.oo&#x  |   0  1  1 |    *   * 27   * ♦   0    0  16    0   0 |    0    0    0  80    0    0 |   0   0   0   0  160    0    0   0   0 |  0  0  0  80  40   0   0  0  0 | 0 16 10  0 0
x.. ... ... ... ...    ...     |   0  0  2 |    *   *  * 216 |   0    0   1    0  10 |    0    0    0  10    0   30 |   0   0   0   0   30    0    0  20  10 |  0  0  0  20  10   0   0  5  5 | 0  5  5  0 1
-------------------------------+-----------+-----------------+-----------------------+------------------------------+----------------------------------------+--------------------------------+-------------
o..3x.. ... ... ...    ...     |   3  0  0 |    3   0  0   0 | 720    *   *    *   * |    6    0    0   1    0    0 |   6   3   0   0    6    0    0   0   0 |  2  3  0   6   3   0   0  0  0 | 1  2  3  0 0
... x..3o.. ... ...    ...     |   3  0  0 |    3   0  0   0 |   * 4320   *    *   * |    1    2    1   0    1    0 |   2   1   1   2    1    2    1   0   0 |  1  2  1   2   1   1   2  0  0 | 1  1  2  1 0
ofx ... ... ... ...    ...&#xt |   1  2  2 |    0   2  2   1 |   *    * 216    *   * ♦    0    0    0  10    0    0 |   0   0   0   0   30    0    0   0   0 |  0  0  0  20  10   0   0  0  0 | 0  5  5  0 0
... xo. ... ... ...    ...&#x  |   2  1  0 |    1   2  0   0 |   *    *   * 2160   * |    0    0    0   1    6    0 |   0   0   0   0    6    6    3   0   0 |  0  0  0   6   3   2   3  0  0 | 0  2  3  1 0
..x3..o ... ... ...    ...     |   0  0  3 |    0   0  0   3 |   *    *   *    * 720 |    0    0    0   1    0    6 |   0   0   0   0    6    0    0   6   3 |  0  0  0   6   3   0   0  2  3 | 0  2  3  0 1
-------------------------------+-----------+-----------------+-----------------------+------------------------------+----------------------------------------+--------------------------------+-------------
o..3x..3o.. ... ...    ...     ♦   6  0  0 |   12   0  0   0 |   4    4   0    0   0 | 1080    *    *   *    *    * |   2   1   0   0    1    0    0   0   0 |  1  2  0   2   1   0   0  0  0 | 1  1  2  0 0
... x..3o..3o.. ...    ...     ♦   4  0  0 |    6   0  0   0 |   0    4   0    0   0 |    * 2160    *   *    *    * |   1   0   1   1    0    1    0   0   0 |  1  1  1   1   0   1   1  0  0 | 1  1  1  1 0
... x..3o.. ... ... *c3o..     ♦   4  0  0 |    6   0  0   0 |   0    4   0    0   0 |    *    * 1080   *    *    * |   0   1   0   2    0    0    1   0   0 |  0  2  1   0   1   0   2  0  0 | 1  0  2  1 0
ofx3xoo ... ... ...    ...&#xt ♦   3  3  3 |    3   6  3   3 |   1    0   3    3   1 |    *    *    * 720    *    * ♦   0   0   0   0    6    0    0   0   0 |  0  0  0   6   3   0   0  0  0 | 0  2  3  0 0
... xo.3oo. ... ...    ...&#x  ♦   3  1  0 |    3   3  0   0 |   0    1   0    3   0 |    *    *    *   * 4320    * |   0   0   0   0    1    2    1   0   0 |  0  0  0   2   1   1   2  0  0 | 0  1  2  1 0
..x3..o3..o ... ...    ...     ♦   0  0  4 |    0   0  0   6 |   0    0   0    0   4 |    *    *    *   *    * 1080 |   0   0   0   0    1    0    0   2   1 |  0  0  0   2   1   0   0  1  2 | 0  1  2  0 1
-------------------------------+-----------+-----------------+-----------------------+------------------------------+----------------------------------------+--------------------------------+-------------
o..3x..3o..3o.. ...    ...     ♦  10  0  0 |   30   0  0   0 |  10   20   0    0   0 |    5    5    0   0    0    0 | 432   *   *   *    *    *    *   *   * |  1  1  0   1   0   0   0  0  0 | 1  1  1  0 0
o..3x..3o.. ... ... *c3o..     ♦  10  0  0 |   30   0  0   0 |  10   20   0    0   0 |    5    0    5   0    0    0 |   * 216   *   *    *    *    *   *   * |  0  2  0   0   1   0   0  0  0 | 1  0  2  0 0
... x..3o..3o..3o..    ...     ♦   5  0  0 |   10   0  0   0 |   0   10   0    0   0 |    0    5    0   0    0    0 |   *   * 432   *    *    *    *   *   * |  1  0  1   0   0   1   0  0  0 | 1  1  0  1 0
... x..3o..3o.. ... *c3o..     ♦   8  0  0 |   24   0  0   0 |   0   32   0    0   0 |    0    8    8   0    0    0 |   *   *   * 270    *    *    *   *   * |  0  1  1   0   0   0   1  0  0 | 1  0  1  1 0
ofx3xoo3ooo ... ...    ...&#xt ♦   6  4  4 |   12  12  4   6 |   4    4   6   12   4 |    1    0    0   4    4    1 |   *   *   *   * 1080    *    *   *   * |  0  0  0   2   1   0   0  0  0 | 0  1  2  0 0
... xo.3oo.3oo. ...    ...&#x  ♦   4  1  0 |    6   4  0   0 |   0    4   0    6   0 |    0    1    0   0    4    0 |   *   *   *   *    * 2160    *   *   * |  0  0  0   1   0   1   1  0  0 | 0  1  1  1 0
... xo.3oo. ... ... *c3oo.&#x  ♦   4  1  0 |    6   4  0   0 |   0    4   0    6   0 |    0    0    1   0    4    0 |   *   *   *   *    *    * 1080   *   * |  0  0  0   0   1   0   2  0  0 | 0  0  2  1 0
..x3..o3..o3..o ...    ...     ♦   0  0  5 |    0   0  0  10 |   0    0   0    0  10 |    0    0    0   0    0    5 |   *   *   *   *    *    *    * 432   * |  0  0  0   1   0   0   0  1  1 | 0  1  1  0 1
..x3..o3..o ... ... *c3..o     ♦   0  0  5 |    0   0  0  10 |   0    0   0    0  10 |    0    0    0   0    0    5 |   *   *   *   *    *    *    *   * 216 |  0  0  0   0   1   0   0  0  2 | 0  0  2  0 1
-------------------------------+-----------+-----------------+-----------------------+------------------------------+----------------------------------------+--------------------------------+-------------
o..3x..3o..3o..3o..    ...     ♦  15  0  0 |   60   0  0   0 |  20   60   0    0   0 |   15   30    0   0    0    0 |   6   0   6   0    0    0    0   0   0 | 72  *  *   *   *   *   *  *  * | 1  1  0  0 0
o..3x..3o..3o.. ... *c3o..     ♦  40  0  0 |  240   0  0   0 |  80  320   0    0   0 |   80   80   80   0    0    0 |  16  16   0  10    0    0    0   0   0 |  * 27  *   *   *   *   *  *  * | 1  0  1  0 0
... x..3o..3o..3o.. *c3o..     ♦  16  0  0 |   80   0  0   0 |   0  160   0    0   0 |    0   80   40   0    0    0 |   0   0  16  10    0    0    0   0   0 |  *  * 27   *   *   *   *  *  * | 1  0  0  1 0
ofx3xoo3ooo3ooo ...    ...&#xt ♦  10  5  5 |   30  20  5  10 |  10   20  10   30  10 |    5    5    0  10   20    5 |   1   0   0   0    5    5    0   1   0 |  *  *  * 432   *   *   *  *  * | 0  1  1  0 0
ofx3xoo3ooo ... ... *c3ooo&#xt ♦  10  5  5 |   30  20  5  10 |  10   20  10   30  10 |    5    0    5  10   20    5 |   0   1   0   0    5    0    5   0   1 |  *  *  *   * 216   *   *  *  * | 0  0  2  0 0
... xo.3oo.3oo.3oo.    ...&#x  ♦   5  1  0 |   10   5  0   0 |   0   10   0   10   0 |    0    5    0   0   10    0 |   0   0   1   0    0    5    0   0   0 |  *  *  *   *   * 432   *  *  * | 0  1  0  1 0
... xo.3oo.3oo. ... *c3oo.&#x  ♦   8  1  0 |   24   8  0   0 |   0   32   0   24   0 |    0    8    8   0   32    0 |   0   0   0   1    0    8    8   0   0 |  *  *  *   *   *   * 270  *  * | 0  0  1  1 0
..x3..o3..o3..o3..o    ...     ♦   0  0  6 |    0   0  0  15 |   0    0   0    0  20 |    0    0    0   0    0   15 |   0   0   0   0    0    0    0   6   0 |  *  *  *   *   *   *   * 72  * | 0  1  0  0 1
..x3..o3..o3..o ... *c3..o     ♦   0  0 10 |    0   0  0  40 |   0    0   0    0  80 |    0    0    0   0    0   80 |   0   0   0   0    0    0    0  16  16 |  *  *  *   *   *   *   *  * 27 | 0  0  1  0 1
-------------------------------+-----------+-----------------+-----------------------+------------------------------+----------------------------------------+--------------------------------+-------------
o..3x..3o..3o..3o.. *c3o..     ♦ 216  0  0 | 2160   0  0   0 | 720 4320   0    0   0 | 1080 2160 1080   0    0    0 | 432 216 432 270    0    0    0   0   0 | 72 27 27   0   0   0   0  0  0 | 1  *  *  * *
ofx3xoo3ooo3ooo3ooo    ...&#xt ♦  15  6  6 |   60  30  6  15 |  20   60  15   60  20 |   15   30    0  20   60   15 |   6   0   6   0   15   30    0   6   0 |  1  0  0   6   0   6   0  1  0 | * 72  *  * *
ofx3xoo3ooo3ooo ... *c3ooo&#xt ♦  40 10 10 |  240  80 10  40 |  80  320  40  240  80 |   80   80   80  80  320   80 |  16  16   0  10   80   80   80  16  16 |  0  1  0  16  16   0  10  0  1 | *  * 27  * *
... xo.3oo.3oo.3oo. *c3oo.&#x  ♦  16  1  0 |   80  16  0   0 |   0  160   0   80   0 |    0   80   40   0  160    0 |   0   0  16  10    0   80   40   0   0 |  0  0  1   0   0  16  10  0  0 | *  *  * 27 *
..x3..o3..o3..o3..o *c3..o     ♦   0  0 27 |    0   0  0 216 |   0    0   0    0 720 |    0    0    0   0    0 1080 |   0   0   0   0    0    0    0 432 216 |  0  0  0   0   0   0   0 72 27 | *  *  *  * 1