Incidence matrix according to Dynkin symbol

ofx3xoo5/2ooo5ooo&#xt   → height(1,2) = sqrt[(7 sqrt(5)-15)/2] = 0.571172
                          height(2,3) = sqrt[(3 sqrt(5)-5)/2] = 0.924176
(rigfix || f-gofix || gofix)

o..3o..5/2o..5o..     | 720   *   * |   10    2   0   0 |    5   10   1   10    0 |   5   2    5   10   0 | 1   5   2 0
.o.3.o.5/2.o.5.o.     |   * 120   * |    0   12   1   0 |    0    0  12   30    0 |   0   0   30   12   0 | 0  12   1 0
..o3..o5/2..o5..o     |   *   * 120 |    0    0   1  12 |    0    0  12    0   30 |   0   0   30    0  12 | 0  12   0 1
----------------------+-------------+-------------------+-------------------------+-----------------------+------------
... x..   ... ...     |   2   0   0 | 3600    *   *   * |    1    2   0    1    0 |   2   1    1    2   0 | 1   2   1 0
oo.3oo.5/2oo.5oo.&#x  |   1   1   0 |    * 1440   *   * |    0    0   1    5    0 |   0   0    5    5   0 | 0   5   1 0
.oo3.oo5/2.oo5.oo&#x  |   0   1   1 |    *    * 120   * ♦    0    0  12    0    0 |   0   0   30    0   0 | 0  12   0 0
..x ...   ... ...     |   0   0   2 |    *    *   * 720 |    0    0   1    0    5 |   0   0    5    0   5 | 0   5   0 1
----------------------+-------------+-------------------+-------------------------+-----------------------+------------
o..3x .   ... ...     |   3   0   0 |    3    0   0   0 | 1200    *   *    *    * |   2   0    1    0   0 | 1   2   0 0
... x..5/2o.. ...     |   5   0   0 |    5    0   0   0 |    * 1440   *    *    * |   1   1    0    1   0 | 1   1   1 0
ofx ...   ... ...&#xt |   1   2   2 |    0    2   2   1 |    *    * 720    *    * |   0   0    5    0   0 | 0   5   0 0
... xo.   ... ...&#x  |   2   1   0 |    1    2   0   0 |    *    *   * 3600    * |   0   0    1    2   0 | 0   2   1 0
..x3..o   ... ...     |   0   0   3 |    0    0   0   3 |    *    *   *    * 1200 |   0   0    1    0   2 | 0   2   0 1
----------------------+-------------+-------------------+-------------------------+-----------------------+------------
o..3x..5/2o.. ...     ♦  30   0   0 |   60    0   0   0 |   20   12   0    0    0 | 120   *    *    *   * | 1   1   0 0
... x..5/2o..5o..     ♦  12   0   0 |   30    0   0   0 |    0   12   0    0    0 |   * 120    *    *   * | 1   0   1 0
ofx3xoo   ... ...&#xt ♦   3   3   3 |    3    6   3   3 |    1    0   3    3    1 |   *   * 1200    *   * | 0   2   0 0
... xo.5/2oo. ...&#x  ♦   5   1   0 |    5    5   0   0 |    0    1   0    5    0 |   *   *    * 1440   * | 0   1   1 0
..x3..o5/2..o ...     ♦   0   0  12 |    0    0   0  30 |    0    0   0    0   20 |   *   *    *    * 120 | 0   1   0 1
----------------------+-------------+-------------------+-------------------------+-----------------------+------------
o..3x..5/2o..5o..     ♦ 720   0   0 | 3600    0   0   0 | 1200 1440   0    0    0 | 120 120    0    0   0 | 1   *   * *
ofx3xoo5/2ooo ...&#xt ♦  30  12  12 |   60   60  12  30 |   20   12  30   60   20 |   1   0   20   12   1 | * 120   * *
... xo.5/2oo.5oo.&#x  ♦  12   1   0 |   30   12   0   0 |    0   12   0   30    0 |   0   1    0   12   0 | *   * 120 *
..x3..o5/2..o5..o     ♦   0   0 120 |    0    0   0 720 |    0    0   0    0 1200 |   0   0    0    0 120 | *   *   * 1

ofx3xoo5/3ooo5ooo&#xt   → height(1,2) = sqrt[(7 sqrt(5)-15)/2] = 0.571172
                          height(2,3) = sqrt[(3 sqrt(5)-5)/2] = 0.924176
(rigfix || f-gofix || gofix)

o..3o..5/3o..5o..     | 720   *   * |   10    2   0   0 |    5   10   1   10    0 |   5   2    5   10   0 | 1   5   2 0
.o.3.o.5/3.o.5.o.     |   * 120   * |    0   12   1   0 |    0    0  12   30    0 |   0   0   30   12   0 | 0  12   1 0
..o3..o5/3..o5..o     |   *   * 120 |    0    0   1  12 |    0    0  12    0   30 |   0   0   30    0  12 | 0  12   0 1
----------------------+-------------+-------------------+-------------------------+-----------------------+------------
... x..   ... ...     |   2   0   0 | 3600    *   *   * |    1    2   0    1    0 |   2   1    1    2   0 | 1   2   1 0
oo.3oo.5/3oo.5oo.&#x  |   1   1   0 |    * 1440   *   * |    0    0   1    5    0 |   0   0    5    5   0 | 0   5   1 0
.oo3.oo5/3.oo5.oo&#x  |   0   1   1 |    *    * 120   * ♦    0    0  12    0    0 |   0   0   30    0   0 | 0  12   0 0
..x ...   ... ...     |   0   0   2 |    *    *   * 720 |    0    0   1    0    5 |   0   0    5    0   5 | 0   5   0 1
----------------------+-------------+-------------------+-------------------------+-----------------------+------------
o..3x .   ... ...     |   3   0   0 |    3    0   0   0 | 1200    *   *    *    * |   2   0    1    0   0 | 1   2   0 0
... x..5/3o.. ...     |   5   0   0 |    5    0   0   0 |    * 1440   *    *    * |   1   1    0    1   0 | 1   1   1 0
ofx ...   ... ...&#xt |   1   2   2 |    0    2   2   1 |    *    * 720    *    * |   0   0    5    0   0 | 0   5   0 0
... xo.   ... ...&#x  |   2   1   0 |    1    2   0   0 |    *    *   * 3600    * |   0   0    1    2   0 | 0   2   1 0
..x3..o   ... ...     |   0   0   3 |    0    0   0   3 |    *    *   *    * 1200 |   0   0    1    0   2 | 0   2   0 1
----------------------+-------------+-------------------+-------------------------+-----------------------+------------
o..3x..5/3o.. ...     ♦  30   0   0 |   60    0   0   0 |   20   12   0    0    0 | 120   *    *    *   * | 1   1   0 0
... x..5/3o..5o..     ♦  12   0   0 |   30    0   0   0 |    0   12   0    0    0 |   * 120    *    *   * | 1   0   1 0
ofx3xoo   ... ...&#xt ♦   3   3   3 |    3    6   3   3 |    1    0   3    3    1 |   *   * 1200    *   * | 0   2   0 0
... xo.5/3oo. ...&#x  ♦   5   1   0 |    5    5   0   0 |    0    1   0    5    0 |   *   *    * 1440   * | 0   1   1 0
..x3..o5/3..o ...     ♦   0   0  12 |    0    0   0  30 |    0    0   0    0   20 |   *   *    *    * 120 | 0   1   0 1
----------------------+-------------+-------------------+-------------------------+-----------------------+------------
o..3x..5/3o..5o..     ♦ 720   0   0 | 3600    0   0   0 | 1200 1440   0    0    0 | 120 120    0    0   0 | 1   *   * *
ofx3xoo5/3ooo ...&#xt ♦  30  12  12 |   60   60  12  30 |   20   12  30   60   20 |   1   0   20   12   1 | * 120   * *
... xo.5/3oo.5oo.&#x  ♦  12   1   0 |   30   12   0   0 |    0   12   0   30    0 |   0   1    0   12   0 | *   * 120 *
..x3..o5/3..o5..o     ♦   0   0 120 |    0    0   0 720 |    0    0   0    0 1200 |   0   0    0    0 120 | *   *   * 1