Incidence matrix according to Dynkin symbol

xx3xo4xx3ox4*a4/3*c&#x   → height = sqrt[(25-7 sqrt(2))/31] = 0.697935

o.3o.4o.3o.4*a4/3*c    & | 1152 |    2   1    2    2 |   2   2   1   2   1    4    3 |  2  1  1  1   3   2   3   1 | 1  3  2
-------------------------+------+--------------------+-------------------------------+-----------------------------+--------
x. .. .. ..            & |    2 | 1152   *    *    * |   1   1   1   0   0    1    0 |  1  1  1  0   1   1   1   0 | 1  2  1
.. x. .. ..            & |    2 |    * 576    *    * |   2   0   0   2   0    0    2 |  2  1  0  1   2   0   2   1 | 1  2  2
.. .. x. ..            & |    2 |    *   * 1152    * |   0   1   0   1   1    1    0 |  1  0  1  1   1   1   1   0 | 1  2  1
oo3oo4oo3oo4*a4/3*c&#x   |    2 |    *   *    * 1152 |   0   0   0   0   0    2    2 |  0  0  0  0   2   1   2   1 | 0  2  2
-------------------------+------+--------------------+-------------------------------+-----------------------------+--------
x.3x. .. ..            & |    6 |    3   3    0    0 | 384   *   *   *   *    *    * |  1  1  0  0   1   0   0   0 | 1  1  1
x. .. x. .. *a4/3*c    & |    8 |    4   0    4    0 |   * 288   *   *   *    *    * |  1  0  1  0   0   1   0   0 | 1  2  0  {8/3}
x. .. .. o.4*a         & |    4 |    4   0    0    0 |   *   * 288   *   *    *    * |  0  1  1  0   0   0   1   0 | 1  1  1
.. x.4x. ..            & |    8 |    0   4    4    0 |   *   *   * 288   *    *    * |  1  0  0  1   0   0   1   0 | 1  1  1  {8}
.. .. x.3o.            & |    3 |    0   0    3    0 |   *   *   *   * 384    *    * |  0  0  1  1   1   0   0   0 | 1  1  1
xx .. .. ..        &#x & |    4 |    1   0    1    2 |   *   *   *   *   * 1152    * |  0  0  0  0   1   1   1   0 | 0  2  1
.. xo .. ..        &#x & |    3 |    0   1    0    2 |   *   *   *   *   *    * 1152 |  0  0  0  0   1   0   1   1 | 0  1  2
-------------------------+------+--------------------+-------------------------------+-----------------------------+--------
x.3x.4x. .. *a4/3*c    & ♦   48 |   24  24   24    0 |   8   6   0   6   0    0    0 | 48  *  *  *   *   *   *   * | 1  1  0
x.3x. .. o.4*a         & ♦   24 |   24  12    0    0 |   8   0   6   0   0    0    0 |  * 48  *  *   *   *   *   * | 1  0  1
x. .. x.3o.4*a4/3*c    & ♦   24 |   24   0   24    0 |   0   6   6   0   8    0    0 |  *  * 48  *   *   *   *   * | 1  1  0
.. x.4x.3o.            & ♦   24 |    0  12   24    0 |   0   0   0   6   8    0    0 |  *  *  * 48   *   *   *   * | 1  0  1
xx3xo .. ..        &#x & ♦    9 |    3   3    3    6 |   1   0   0   0   1    3    3 |  *  *  *  * 384   *   *   * | 0  1  1
xx .. xx .. *a4/3*c&#x   ♦   16 |    8   0    8    8 |   0   2   0   0   0    8    0 |  *  *  *  *   * 144   *   * | 0  2  0
xx .. .. ox4*a     &#x & ♦   12 |    4   4    4    8 |   0   0   1   1   0    4    4 |  *  *  *  *   *   * 288   * | 0  1  1
.. xo .. ox        &#x   ♦    4 |    0   2    0    4 |   0   0   0   0   0    0    4 |  *  *  *  *   *   *   * 288 | 0  0  2
-------------------------+------+--------------------+-------------------------------+-----------------------------+--------
x.3x.4x.3o.4*a4/3*c    & ♦  576 |  576 288  576    0 | 192 144 144 144 192    0    0 | 24 24 24 24   0   0   0   0 | 2  *  *
xx3xo4xx .. *a4/3*c&#x & ♦   72 |   48  24   48   48 |   8  12   6   6   8   48   24 |  1  0  1  0   8   6   6   0 | * 48  *
xx3xo .. ox4*a     &#x & ♦   48 |   24  24   24   48 |   8   0   6   6   8   24   48 |  0  1  0  1   8   0   6  12 | *  * 48