Incidence matrix according to Dynkin symbol

oox3ooo3oxo *b3xoo3ooo&#x   → height(1,2) = height(1,3) = sqrt(3/8) = 0.612372
                              height(2,3) = 1/sqrt(2) = 0.707107
                              height(1,23) = 1/2
(rat || hax)

o..3o..3o.. *b3o..3o..      | 40  * |  12   8   0  0 |  24  6  12  48  12   0   0 |  16 12   8  48  24  24  24  48  0   0   0  0 |  2  8  2  16  16  24  12   8   6  48  24  24  0  0  0   0 | 1  4  8  8  1  16  12  24 12 0  0  0 | 2  2  8  6 0
.o.3.o.3.o. *b3.o.3.o.    & |  * 32 |   0  10  10  5 |   0  0  30  30  30  30  30 |   0  0  30  20  30  10  90  60 10  20  40 10 |  0  0 10   5  20   5  10  40  30  90  20  20  5  5 10  25 | 0  5  1  5 10  25  30  30  5 1  5  6 | 1  5  6 10 1
----------------------------+-------+----------------+----------------------------+----------------------------------------------+-----------------------------------------------------------+--------------------------------------+-------------
... ... ...    x.. ...      |  2  0 | 240   *   *  * |   4  1   0   4   0   0   0 |   4  4   0   8   2   4   0   4  0   0   0  0 |  1  4  0   4   4   8   2   0   0   4   4   4  0  0  0   0 | 1  2  4  4  0   4   1   4  4 0  0  0 | 2  1  4  1 0
oo.3oo.3oo. *b3oo.3oo.&#x & |  1  1 |   * 320   *  * |   0  0   3   6   3   0   0 |   0  0   3   6   6   3   9  12  0   0   0  0 |  0  0  1   2   6   3   3   4   3  18   6   6  0  0  0   0 | 0  2  1  4  1   8   6   9  3 0  0  0 | 1  2  5  3 0
... ... .x.    ... ...    & |  0  2 |   *   * 160  * |   0  0   3   0   0   6   2 |   0  0   6   0   3   0   6   0  3   6   6  1 |  0  0  3   0   6   0   2   6   3   6   0   0  3  2  3   6 | 0  3  0  2  3   6   3   2  0 1  3  2 | 1  3  2  1 1
.oo3.oo3.oo *b3.oo3.oo&#x   |  0  2 |   *   *   * 80 |   0  0   0   0   6   0   8 |   0  0   0   0   0   0  24  12  0   0  12  4 |  0  0  0   0   0   0   0  12  12  24   4   4  0  0  6   8 | 0  0  0  0  6   8  12   8  1 0  4  2 | 0  4  2  4 1
----------------------------+-------+----------------+----------------------------+----------------------------------------------+-----------------------------------------------------------+--------------------------------------+-------------
... o.. ... *b3x.. ...      |  3  0 |   3   0   0  0 | 320  *   *   *   *   *   * |   2  1   0   2   0   0   0   0  0   0   0  0 |  1  2  0   2   2   2   0   0   0   0   1   0  0  0  0   0 | 1  2  2  2  0   2   0   0  1 0  0  0 | 2  1  2  0 0
... ... ...    x..3o..      |  3  0 |   3   0   0  0 |   * 80   *   *   *   *   * |   0  4   0   0   0   4   0   0  0   0   0  0 |  0  4  0   0   0   8   2   0   0   0   0   4  0  0  0   0 | 1  0  4  4  0   0   0   4  4 0  0  0 | 2  0  4  1 0
... ... ox.    ... ...&#x & |  1  2 |   0   2   1  0 |   *  * 480   *   *   *   * |   0  0   2   0   2   0   2   0  0   0   0  0 |  0  0  1   0   4   0   1   2   1   4   0   0  0  0  0   0 | 0  2  0  2  1   4   2   2  0 0  0  0 | 1  2  2  1 0
... ... ...    xo. ...&#x & |  2  1 |   1   2   0  0 |   *  *   * 960   *   *   * |   0  0   0   2   1   1   0   2  0   0   0  0 |  0  0  0   1   2   2   1   0   0   3   2   2  0  0  0   0 | 0  1  1  2  0   3   1   3  2 0  0  0 | 1  1  3  1 0
ooo3ooo3ooo *b3ooo3ooo&#x   |  1  2 |   0   2   0  1 |   *  *   *   * 480   *   * |   0  0   0   0   0   0   4   4  0   0   0  0 |  0  0  0   0   0   0   0   2   2   8   2   2  0  0  0   0 | 0  0  0  0  1   4   4   4  1 0  0  0 | 0  2  2  2 0
... .o.3.x.    ... ...    & |  0  3 |   0   0   3  0 |   *  *   *   *   * 320   * |   0  0   1   0   0   0   0   0  1   2   1  0 |  0  0  1   0   2   0   0   1   0   0   0   0  2  1  1   2 | 0  2  0  1  1   2   0   0  0 1  2  1 | 1  2  1  0 1
.ox ... ...    ... ...&#x & |  0  3 |   0   0   1  2 |   *  *   *   *   *   * 320 |   0  0   0   0   0   0   3   0  0   0   3  1 |  0  0  0   0   0   0   0   3   3   3   0   0  0  0  3   3 | 0  0  0  0  3   3   3   1  0 0  3  1 | 0  3  1  1 1
----------------------------+-------+----------------+----------------------------+----------------------------------------------+-----------------------------------------------------------+--------------------------------------+-------------
o..3o.. ... *b3x.. ...    & ♦  4  0 |   6   0   0  0 |   4  0   0   0   0   0   0 | 160  *   *   *   *   *   *   *  *   *   *  * |  1  1  0   1   1   0   0   0   0   0   0   0  0  0  0   0 | 1  2  1  1  0   1   0   0  0 0  0  0 | 2  1  1  0 0
... o.. ... *b3x..3o..      ♦  6  0 |  12   0   0  0 |   4  4   0   0   0   0   0 |   * 80   *   *   *   *   *   *  *   *   *  * |  0  2  0   0   0   2   0   0   0   0   0   0  0  0  0   0 | 1  0  2  2  0   0   0   0  1 0  0  0 | 2  0  2  0 0
... oo.3ox.    ... ...&#x & ♦  1  3 |   0   3   3  0 |   0  0   3   0   0   1   0 |   *  * 320   *   *   *   *   *  *   *   *  * |  0  0  1   0   2   0   0   1   0   0   0   0  0  0  0   0 | 0  2  0  1  1   2   0   0  0 0  0  0 | 1  2  1  0 0
... oo. ... *b3xo. ...&#x & ♦  3  1 |   3   3   0  0 |   1  0   0   3   0   0   0 |   *  *   * 640   *   *   *   *  *   *   *  * |  0  0  0   1   1   1   0   0   0   0   1   0  0  0  0   0 | 0  1  1  1  0   2   0   0  1 0  0  0 | 1  1  2  0 0
... ... ox.    xo. ...&#x & ♦  2  2 |   1   4   1  0 |   0  0   2   2   0   0   0 |   *  *   *   * 480   *   *   *  *   *   *  * |  0  0  0   0   2   0   1   0   0   2   0   0  0  0  0   0 | 0  1  0  2  0   2   1   2  0 0  0  0 | 1  1  2  1 0
... ... ...    xo.3oo.&#x & ♦  3  1 |   3   3   0  0 |   0  1   0   3   0   0   0 |   *  *   *   *   * 320   *   *  *   *   *  * |  0  0  0   0   0   2   1   0   0   0   0   2  0  0  0   0 | 0  0  1  2  0   0   0   3  2 0  0  0 | 1  0  3  1 0
oox ... ...    ... ...&#x & ♦  1  3 |   0   3   1  2 |   0  0   1   0   2   0   1 |   *  *   *   *   *   * 960   *  *   *   *  * |  0  0  0   0   0   0   0   1   1   2   0   0  0  0  0   0 | 0  0  0  0  1   2   2   1  0 0  0  0 | 0  2  1  1 0
... ... ...    xoo ...&#x   ♦  2  2 |   1   4   0  1 |   0  0   0   2   2   0   0 |   *  *   *   *   *   *   * 960  *   *   *  * |  0  0  0   0   0   0   0   0   0   2   1   1  0  0  0   0 | 0  0  0  0  0   2   1   2  1 0  0  0 | 0  1  2  1 0
.o.3.o.3.x.    ... ...    & ♦  0  4 |   0   0   6  0 |   0  0   0   0   0   4   0 |   *  *   *   *   *   *   *   * 80   *   *  * |  0  0  1   0   0   0   0   0   0   0   0   0  2  0  1   0 | 0  2  0  0  1   0   0   0  0 1  2  0 | 1  2  0  0 1
... .o.3.x. *b3.o. ...    & ♦  0  4 |   0   0   6  0 |   0  0   0   0   0   4   0 |   *  *   *   *   *   *   *   *  * 160   *  * |  0  0  0   0   1   0   0   0   0   0   0   0  1  1  0   1 | 0  1  0  1  0   1   0   0  0 1  1  1 | 1  1  1  0 1
.ox3.oo ...    ... ...&#x & ♦  0  4 |   0   0   3  3 |   0  0   0   0   0   1   3 |   *  *   *   *   *   *   *   *  *   * 320  * |  0  0  0   0   0   0   0   1   0   0   0   0  0  0  1   2 | 0  0  0  0  1   2   0   0  0 0  2  1 | 0  2  1  0 1
.ox ... .xo    ... ...&#x   ♦  0  4 |   0   0   2  4 |   0  0   0   0   0   0   4 |   *  *   *   *   *   *   *   *  *   *   * 80 |  0  0  0   0   0   0   0   0   3   0   0   0  0  0  3   0 | 0  0  0  0  3   0   3   0  0 0  3  0 | 0  3  0  1 1
----------------------------+-------+----------------+----------------------------+----------------------------------------------+-----------------------------------------------------------+--------------------------------------+-------------
o..3o..3o.. *b3x.. ...      ♦  8  0 |  24   0   0  0 |  32  0   0   0   0   0   0 |  16  0   0   0   0   0   0   0  0   0   0  0 | 10  *  *   *   *   *   *   *   *   *   *   *  *  *  *   * | 1  2  0  0  0   0   0   0  0 0  0  0 | 2  1  0  0 0
o..3o.. ... *b3x..3o..    & ♦ 10  0 |  30   0   0  0 |  20 10   0   0   0   0   0 |   5  5   0   0   0   0   0   0  0   0   0  0 |  * 32  *   *   *   *   *   *   *   *   *   *  *  *  *   * | 1  0  1  1  0   0   0   0  0 0  0  0 | 2  0  1  0 0
oo.3oo.3ox.    ... ...&#x & ♦  1  4 |   0   4   6  0 |   0  0   6   0   0   4   0 |   0  0   4   0   0   0   0   0  1   0   0  0 |  *  * 80   *   *   *   *   *   *   *   *   *  *  *  *   * | 0  2  0  0  1   0   0   0  0 0  0  0 | 1  2  0  0 0
oo.3oo. ... *b3xo. ...&#x & ♦  4  1 |   6   4   0  0 |   4  0   0   6   0   0   0 |   1  0   0   4   0   0   0   0  0   0   0  0 |  *  *  * 160   *   *   *   *   *   *   *   *  *  *  *   * | 0  1  1  0  0   1   0   0  0 0  0  0 | 1  1  1  0 0
... oo.3ox. *b3xo. ...&#x & ♦  4  4 |   6  12   6  0 |   4  0  12  12   0   4   0 |   1  0   4   4   6   0   0   0  0   1   0  0 |  *  *  *   * 160   *   *   *   *   *   *   *  *  *  *   * | 0  1  0  1  0   1   0   0  0 0  0  0 | 1  1  1  0 0
... oo. ... *b3xo.3oo.&#x & ♦  6  1 |  12   6   0  0 |   4  4   0  12   0   0   0 |   0  1   0   4   0   4   0   0  0   0   0  0 |  *  *  *   *   * 160   *   *   *   *   *   *  *  *  *   * | 0  0  1  1  0   0   0   0  1 0  0  0 | 1  0  2  0 0
... ... ox.    xo.3oo.&#x & ♦  3  2 |   3   6   1  0 |   0  1   3   6   0   0   0 |   0  0   0   0   3   2   0   0  0   0   0  0 |  *  *  *   *   *   * 160   *   *   *   *   *  *  *  *   * | 0  0  0  2  0   0   0   2  0 0  0  0 | 1  0  2  1 0
oox3ooo ...    ... ...&#x & ♦  1  4 |   0   4   3  3 |   0  0   3   0   3   1   3 |   0  0   1   0   0   0   3   0  0   0   1  0 |  *  *  *   *   *   *   * 320   *   *   *   *  *  *  *   * | 0  0  0  0  1   2   0   0  0 0  0  0 | 0  2  1  0 0
oox ... oxo    ... ...&#x   ♦  1  4 |   0   4   2  4 |   0  0   2   0   4   0   4 |   0  0   0   0   0   0   4   0  0   0   0  1 |  *  *  *   *   *   *   *   * 240   *   *   *  *  *  *   * | 0  0  0  0  1   0   2   0  0 0  0  0 | 0  2  0  1 0
oox ... ...    xoo ...&#x & ♦  2  3 |   1   6   1  2 |   0  0   2   3   4   0   1 |   0  0   0   0   1   0   2   2  0   0   0  0 |  *  *  *   *   *   *   *   *   * 960   *   *  *  *  *   * | 0  0  0  0  0   1   1   1  0 0  0  0 | 0  1  1  1 0
... ooo ... *b3xoo ...&#x & ♦  3  2 |   3   6   0  1 |   1  0   0   6   3   0   0 |   0  0   0   2   0   0   0   3  0   0   0  0 |  *  *  *   *   *   *   *   *   *   * 320   *  *  *  *   * | 0  0  0  0  0   2   0   0  1 0  0  0 | 0  1  2  0 0
... ... ...    xoo3ooo&#x   ♦  3  2 |   3   6   0  1 |   0  1   0   6   3   0   0 |   0  0   0   0   0   2   0   3  0   0   0  0 |  *  *  *   *   *   *   *   *   *   *   * 320  *  *  *   * | 0  0  0  0  0   0   0   2  1 0  0  0 | 0  0  2  1 0
.o.3.o.3.x. *b3.o. ...    & ♦  0  8 |   0   0  24  0 |   0  0   0   0   0  32   0 |   0  0   0   0   0   0   0   0  8   8   0  0 |  *  *  *   *   *   *   *   *   *   *   *   * 20  *  *   * | 0  1  0  0  0   0   0   0  0 1  1  0 | 1  1  0  0 1
... .o.3.x. *b3.o.3.o.    & ♦  0  5 |   0   0  10  0 |   0  0   0   0   0  10   0 |   0  0   0   0   0   0   0   0  0   5   0  0 |  *  *  *   *   *   *   *   *   *   *   *   *  * 32  *   * | 0  0  0  1  0   0   0   0  0 1  0  1 | 1  0  1  0 1
.ox3.oo3.xo    ... ...&#x   ♦  0  8 |   0   0  12 12 |   0  0   0   0   0   8  24 |   0  0   0   0   0   0   0   0  2   0   8  6 |  *  *  *   *   *   *   *   *   *   *   *   *  *  * 40   * | 0  0  0  0  1   0   0   0  0 0  2  0 | 0  2  0  0 1
.ox3.oo ... *b3.oo ...&#x & ♦  0  5 |   0   0   6  4 |   0  0   0   0   0   4   6 |   0  0   0   0   0   0   0   0  0   1   4  0 |  *  *  *   *   *   *   *   *   *   *   *   *  *  *  * 160 | 0  0  0  0  0   1   0   0  0 0  1  1 | 0  1  1  0 1
----------------------------+-------+----------------+----------------------------+----------------------------------------------+-----------------------------------------------------------+--------------------------------------+-------------
o..3o..3o.. *b3x..3o..      ♦ 40  0 | 240   0   0  0 | 320 80   0   0   0   0   0 | 160 80   0   0   0   0   0   0  0   0   0  0 | 10 32  0   0   0   0   0   0   0   0   0   0  0  0  0   0 | 1  *  *  *  *   *   *   *  * *  *  * | 2  0  0  0 0
oo.3oo.3ox. *b3xo. ...&#x & ♦  8  8 |  24  32  24  0 |  32  0  48  48   0  32   0 |  16  0  32  32  24   0   0   0  8   8   0  0 |  1  0  8   8   8   0   0   0   0   0   0   0  1  0  0   0 | * 20  *  *  *   *   *   *  * *  *  * | 1  1  0  0 0
oo.3oo. ... *b3xo.3oo.&#x & ♦ 10  1 |  30  10   0  0 |  20 10   0  30   0   0   0 |   5  5   0  20   0  10   0   0  0   0   0  0 |  0  1  0   5   0   5   0   0   0   0   0   0  0  0  0   0 | *  * 32  *  *   *   *   *  * *  *  * | 1  0  1  0 0
... oo.3ox. *b3xo.3oo.&#x & ♦ 10  5 |  30  40  10  0 |  20 10  30  60   0  10   0 |   5  5  10  20  30  20   0   0  0   5   0  0 |  0  1  0   0   5   5  10   0   0   0   0   0  0  1  0   0 | *  *  * 32  *   *   *   *  * *  *  * | 1  0  1  0 0
oox3ooo3oxo    ... ...&#x   ♦  1  8 |   0   8  12 12 |   0  0  12   0  12   8  24 |   0  0   8   0   0   0  24   0  2   0   8  6 |  0  0  2   0   0   0   0   8   6   0   0   0  0  0  1   0 | *  *  *  * 40   *   *   *  * *  *  * | 0  2  0  0 0
oox3ooo ... *b3xoo ...&#x & ♦  4  5 |   6  16   6  4 |   4  0  12  18  12   4   6 |   1  0   4   8   6   0  12  12  0   1   4  0 |  0  0  0   1   1   0   0   4   0   6   4   0  0  0  0   1 | *  *  *  *  * 160   *   *  * *  *  * | 0  1  1  0 0
oox ... oxo    xoo ...&#x   ♦  2  4 |   1   8   2  4 |   0  0   4   4   8   0   4 |   0  0   0   0   2   0   8   4  0   0   0  1 |  0  0  0   0   0   0   0   0   2   4   0   0  0  0  0   0 | *  *  *  *  *   * 240   *  * *  *  * | 0  1  0  1 0
oox ... ...    xoo3ooo&#x & ♦  3  3 |   3   9   1  2 |   0  1   3   9   6   0   1 |   0  0   0   0   3   3   3   6  0   0   0  0 |  0  0  0   0   0   0   1   0   0   3   0   2  0  0  0   0 | *  *  *  *  *   *   * 320  * *  *  * | 0  0  1  1 0
... ooo ... *b3xoo3ooo&#x   ♦  6  2 |  12  12   0  1 |   4  4   0  24   6   0   0 |   0  1   0   8   0   8   0  12  0   0   0  0 |  0  0  0   0   0   2   0   0   0   0   4   4  0  0  0   0 | *  *  *  *  *   *   *   * 80 *  *  * | 0  0  2  0 0
.o.3.o.3.x. *b3.o.3.o.    & ♦  0 16 |   0   0  80  0 |   0  0   0   0   0 160   0 |   0  0   0   0   0   0   0   0 40  80   0  0 |  0  0  0   0   0   0   0   0   0   0   0   0 10 16  0   0 | *  *  *  *  *   *   *   *  * 2  *  * | 1  0  0  0 1
.ox3.oo3.xo *b3.oo ...&#x   ♦  0 16 |   0   0  48 32 |   0  0   0   0   0  64  96 |   0  0   0   0   0   0   0   0 16  16  64 24 |  0  0  0   0   0   0   0   0   0   0   0   0  2  0  8  16 | *  *  *  *  *   *   *   *  * * 10  * | 0  1  0  0 1
.ox3.oo ... *b3.oo3.oo&#x & ♦  0  6 |   0   0  10  5 |   0  0   0   0   0  10  10 |   0  0   0   0   0   0   0   0  0   5  10  0 |  0  0  0   0   0   0   0   0   0   0   0   0  0  1  0   5 | *  *  *  *  *   *   *   *  * *  * 32 | 0  0  1  0 1
----------------------------+-------+----------------+----------------------------+----------------------------------------------+-----------------------------------------------------------+--------------------------------------+-------------
oo.3oo.3ox. *b3xo.3oo.&#x & ♦ 40 16 | 240 160  80  0 | 320 80 240 480   0 160   0 | 160 80 160 320 240 160   0   0 40  80   0  0 | 10 32 40  80  80  80  80   0   0   0   0   0 10 16  0   0 | 1 10 16 16  0   0   0   0  0 1  0  0 | 2  *  *  * *
oox3ooo3oxo *b3xoo ...&#x   ♦  8 16 |  24  64  48 32 |  32  0  96  96  96  64  96 |  16  0  64  64  48   0 192  96 16  16  64 24 |  1  0 16  16  16   0   0  64  48  96  32   0  2  0  8  16 | 0  2  0  0  8  16  24   0  0 0  1  0 | * 10  *  * *
oox3ooo ... *b3xoo3ooo&#x & ♦ 10  6 |  30  50  10  5 |  20 10  30  90  30  10  10 |   5  5  10  40  30  30  30  60  0   5  10  0 |  0  1  0   5   5  10  10  10   0  30  20  20  0  1  0   5 | 0  0  1  1  0   5   0  10  5 0  0  1 | *  * 32  * *
oox ... oxo    xoo3ooo&#x   ♦  3  4 |   3  12   2  4 |   0  1   6  12  12   0   4 |   0  0   0   0   6   4  12  12  0   0   0  1 |  0  0  0   0   0   0   2   0   3  12   0   4  0  0  0   0 | 0  0  0  0  0   0   3   4  0 0  0  0 | *  *  * 80 *
.ox3.oo3.xo *b3.oo3.oo&#x   ♦  0 32 |   0   0 160 80 |   0  0   0   0   0 320 320 |   0  0   0   0   0   0   0   0 80 160 320 80 |  0  0  0   0   0   0   0   0   0   0   0   0 20 32 40 160 | 0  0  0  0  0   0   0   0  0 2 10 32 | *  *  *  * 1