Acronym ocalroc
Name oca atop inverted roc,
oca-first cap of fy
Circumradius 1
Confer
uniform relative:
fy  
general polytopal classes:
segmentozetta   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

xo3oo3oo3oo3oo3ox3oo&#x   → height = 1/4
(oca || inv. roc)

o.3o.3o.3o.3o.3o.3o.    | 8  *   7  21   0 | 21 105 105   0  0 | 35 210  420  140  35   0  0 | 35 210  630  420 140 105  35   0  0 | 21 105 420  420 210 210 105  42  21  0  0 | 7 21 105 140 140 105 105  42  42  7  7 0 0 | 1 7 35 35 21  7 1 0
.o3.o3.o3.o3.o3.o3.o    | * 28 |  0   6  12 |  0  15  60  30  6 |  0  20  120  120  30  40 15 |  0  15  120  180  60 120  60  30 20 |  0   6  60  120  60 120  90  60  60 12 15 | 0  1  12  30  30  40  60  30  60 12 30 2 6 | 0 2  6 15 20 15 6 1
------------------------+------+------------+-------------------+-----------------------------+-------------------------------------+-------------------------------------------+--------------------------------------------+--------------------
x. .. .. .. .. .. ..    | 2  0 | 28   *   *   6  15   0   0  0 | 15  60   60    0   0   0  0 | 20  90  180   60  20   0   0   0  0 | 15  60 180  120  60  30  15   0   0  0  0 | 6 15  60  60  60  30  30   6   6  0  0 0 0 | 1 6 20 15  6  1 0 0
oo3oo3oo3oo3oo3oo3oo&#x | 1  1 |  * 168   * |  0   5  10   0  0 |  0  10   40   20   5   0  0 |  0  10   60   60  20  20  10   0  0 |  0   5  40   60  30  40  30  10  10  0  0 | 0  1  10  20  20  20  30  10  20  2  5 0 0 | 0 2  5 10 10  5 1 0
.. .. .. .. .. .x ..    | 0  2 |  *   * 168 |  0   0   5   5  1 |  0   0   10   20   5  10  5 |  0   0   10   30  10  30  20  10 10 |  0   0   5   20  10  30  30  20  30  5 10 | 0  0   1   5   5  10  20  10  30  5 20 1 5 | 0 1  1  5 10 10 5 1
------------------------+------+------------+-------------------+-----------------------------+-------------------------------------+-------------------------------------------+--------------------------------------------+--------------------
x.3o. .. .. .. .. ..    | 3  0 |  3   0   0 | 56   *   *   *  *   5  10    0    0   0   0  0 | 10  30   30    0   0   0   0   0  0 | 10  30  60   20  10   0   0   0   0  0  0 | 5 10  30  20  20   5   5   0   0  0  0 0 0 | 1 5 10  5  1  0 0 0
xo .. .. .. .. .. ..&#x | 2  1 |  1   2   0 |  * 420   *   *  * |  0   4    8    0   0   0  0 |  0   6   24   12   4   0   0   0  0 |  0   4  24   24  12   8   6   0   0  0  0 | 0  1   8  12  12   8  12   2   4  0  0 0 0 | 0 2  4  6  4  1 0 0
.. .. .. .. .. ox ..&#x | 1  2 |  0   2   1 |  *   * 840   *  * |  0   0    4    4   1   0  0 |  0   0    6   12   4   6   4   0  0 |  0   0   4   12   6  12  12   4   6  0  0 | 0  0   1   4   4   6  12   4  12  1  4 0 0 | 0 1  1  4  6  4 1 0
.. .. .. .. .o3.x ..    | 0  3 |  0   0   3 |  *   *   * 280  * |  0   0    0    4   0   4  1 |  0   0    0    6   0  12   4   6  4 |  0   0   0    4   0  12   6  12  12  4  6 | 0  0   0   1   0   4   4   6  12  4 12 1 4 | 0 1  0  1  4  6 4 1
.. .. .. .. .. .x3.o    | 0  3 |  0   0   3 |  *   *   *   * 56 |  0   0    0    0   5   0  5 |  0   0    0    0  10   0  20   0 10 |  0   0   0    0  10   0  30   0  30  0 10 | 0  0   0   0   5   0  20   0  30  0 20 0 5 | 0 0  1  5 10 10 5 1
------------------------+------+------------+-------------------+-----------------------------+-------------------------------------+-------------------------------------------+--------------------------------------------+--------------------
x.3o.3o. .. .. .. ..     4  0 |  6   0   0 |  4   0   0   0  0 | 70   *    *    *   *   *  *   4   6    0    0   0   0   0   0  0 |  6  12  12    0   0   0   0   0   0  0  0 | 4  6  12   4   4   0   0   0   0  0  0 0 0 | 1 4  4  1  0  0 0 0
xo3oo .. .. .. .. ..&#x  3  1 |  3   3   0 |  1   3   0   0  0 |  * 560    *    *   *   *  * |  0   3    6    0   0   0   0   0  0 |  0   3  12    6   3   0   0   0   0  0  0 | 0  1   6   6   6   2   3   0   0  0  0 0 0 | 0 2  3  3  1  0 0 0
xo .. .. .. .. ox ..&#x  2  2 |  1   4   1 |  0   2   2   0  0 |  *   * 1680    *   *   *  * |  0   0    3    3   1   0   0   0  0 |  0   0   3    6   3   3   3   0   0  0  0 | 0  0   1   3   3   3   6   1   3  0  0 0 0 | 0 1  1  3  3  1 0 0
.. .. .. .. oo3ox ..&#x  1  3 |  0   3   3 |  0   0   3   1  0 |  *   *    * 1120   *   *  * |  0   0    0    3   0   3   1   0  0 |  0   0   0    3   0   6   3   3   3  0  0 | 0  0   0   1   0   3   3   3   6  1  3 0 0 | 0 1  0  1  3  3 1 0
.. .. .. .. .. ox3oo&#x  1  3 |  0   3   3 |  0   0   3   0  1 |  *   *    *    * 280   *  * |  0   0    0    0   4   0   4   0  0 |  0   0   0    0   6   0  12   0   6  0  0 | 0  0   0   0   4   0  12   0  12  0  4 0 0 | 0 0  1  4  6  4 1 0
.. .. .. .o3.o3.x ..     0  4 |  0   0   6 |  0   0   0   4  0 |  *   *    *    *   * 280  * |  0   0    0    0   0   3   0   3  1 |  0   0   0    0   0   3   0   6   3  3  3 | 0  0   0   0   0   1   0   3   3  3  6 1 3 | 0 1  0  0  1  3 3 1
.. .. .. .. .o3.x3.o     0  6 |  0   0  12 |  0   0   0   4  4 |  *   *    *    *   *   * 70 |  0   0    0    0   0   0   4   0  4 |  0   0   0    0   0   0   6   0  12  0  6 | 0  0   0   0   0   0   4   0  12  0 12 0 4 | 0 0  0  1  4  6 4 1
------------------------+------+------------+-------------------+-----------------------------+-------------------------------------+-------------------------------------------+--------------------------------------------+--------------------
x.3o.3o.3o. .. .. ..     5  0 | 10   0   0 | 10   0   0   0  0 |  5   0    0    0   0   0  0 | 56   *    *    *   *   *   *   *  *   3   3   0    0   0   0   0   0   0  0  0 | 3  3   3   0   0   0   0   0   0  0  0 0 0 | 1 3  1  0  0  0 0 0
xo3oo3oo .. .. .. ..&#x  4  1 |  6   4   0 |  4   6   0   0  0 |  1   4    0    0   0   0  0 |  * 420    *    *   *   *   *   *  * |  0   2   4    0   0   0   0   0   0  0  0 | 0  1   4   2   2   0   0   0   0  0  0 0 0 | 0 2  2  1  0  0 0 0
xo3oo .. .. .. ox ..&#x  3  2 |  3   6   1 |  1   6   3   0  0 |  0   2    3    0   0   0  0 |  *   * 1680    *   *   *   *   *  * |  0   0   2    2   1   0   0   0   0  0  0 | 0  0   1   2   2   1   2   0   0  0  0 0 0 | 0 1  1  2  1  0 0 0
xo .. .. .. oo3ox ..&#x  2  3 |  1   6   3 |  0   3   6   1  0 |  0   0    3    2   0   0  0 |  *   *    * 1680   *   *   *   *  * |  0   0   0    2   0   2   1   0   0  0  0 | 0  0   0   1   0   2   2   1   2  0  0 0 0 | 0 1  0  1  2  1 0 0
xo .. .. .. .. ox3oo&#x  2  3 |  1   6   3 |  0   3   6   0  1 |  0   0    3    0   2   0  0 |  *   *    *    * 560   *   *   *  * |  0   0   0    0   3   0   3   0   0  0  0 | 0  0   0   0   3   0   6   0   3  0  0 0 0 | 0 0  1  3  3  1 0 0
.. .. .. oo3oo3ox ..&#x  1  4 |  0   4   6 |  0   0   6   4  0 |  0   0    0    4   0   1  0 |  *   *    *    *   * 840   *   *  * |  0   0   0    0   0   2   0   2   1  0  0 | 0  0   0   0   0   1   0   2   2  1  2 0 0 | 0 1  0  0  1  2 1 0
.. .. .. .. oo3ox3oo&#x  1  6 |  0   6  12 |  0   0  12   4  4 |  0   0    0    4   4   0  1 |  *   *    *    *   *   * 280   *  * |  0   0   0    0   0   0   3   0   3  0  0 | 0  0   0   0   0   0   3   0   6  0  3 0 0 | 0 0  0  1  3  3 1 0
.. .. .o3.o3.o3.x ..     0  5 |  0   0  10 |  0   0   0  10  0 |  0   0    0    0   0   5  0 |  *   *    *    *   *   *   * 168  * |  0   0   0    0   0   0   0   2   0  2  1 | 0  0   0   0   0   0   0   1   0  2  2 1 2 | 0 1  0  0  0  1 2 1
.. .. .. .o3.o3.x3.o     0 10 |  0   0  30 |  0   0   0  20 10 |  0   0    0    0   0   5  5 |  *   *    *    *   *   *   *   * 56 |  0   0   0    0   0   0   0   0   3  0  3 | 0  0   0   0   0   0   0   0   3  0  6 0 3 | 0 0  0  0  1  3 3 1
------------------------+------+------------+-------------------+-----------------------------+-------------------------------------+-------------------------------------------+--------------------------------------------+--------------------
x.3o.3o.3o.3o. .. ..     6  0 | 15   0   0 | 20   0   0   0  0 | 15   0    0    0   0   0  0 |  6   0    0    0   0   0   0   0  0 | 28   *   *    *   *   *   *   *   *  *  * | 2  1   0   0   0   0   0   0   0  0  0 0 0 | 1 2  0  0  0  0 0 0
xo3oo3oo3oo .. .. ..&#x  5  1 | 10   5   0 | 10  10   0   0  0 |  5  10    0    0   0   0  0 |  1   5    0    0   0   0   0   0  0 |  * 168   *    *   *   *   *   *   *  *  * | 0  1   2   0   0   0   0   0   0  0  0 0 0 | 0 2  1  0  0  0 0 0
xo3oo3oo .. .. ox ..&#x  4  2 |  6   8   1 |  4  12   4   0  0 |  1   8    6    0   0   0  0 |  0   2    4    0   0   0   0   0  0 |  *   * 840    *   *   *   *   *   *  *  * | 0  0   1   1   1   0   0   0   0  0  0 0 0 | 0 1  1  1  0  0 0 0
xo3oo .. .. oo3ox ..&#x  3  3 |  3   9   3 |  1   9   9   1  0 |  0   3    9    3   0   0  0 |  0   0    3    3   0   0   0   0  0 |  *   *   * 1120   *   *   *   *   *  *  * | 0  0   0   1   0   1   1   0   0  0  0 0 0 | 0 1  0  1  1  0 0 0
xo3oo .. .. .. ox3oo&#x  3  3 |  3   9   3 |  1   9   9   0  1 |  0   3    9    0   3   0  0 |  0   0    3    0   3   0   0   0  0 |  *   *   *    * 560   *   *   *   *  *  * | 0  0   0   0   2   0   2   0   0  0  0 0 0 | 0 0  1  2  1  0 0 0
xo .. .. oo3oo3ox ..&#x  2  4 |  1   8   6 |  0   4  12   4  0 |  0   0    6    8   0   1  0 |  0   0    0    4   0   2   0   0  0 |  *   *   *    *   * 840   *   *   *  *  * | 0  0   0   0   0   1   0   1   1  0  0 0 0 | 0 1  0  0  1  1 0 0
xo .. .. .. oo3ox3oo&#x  2  6 |  1  12  12 |  0   6  24   4  4 |  0   0   12    8   8   0  1 |  0   0    0    4   4   0   2   0  0 |  *   *   *    *   *   * 420   *   *  *  * | 0  0   0   0   0   0   2   0   2  0  0 0 0 | 0 0  0  1  2  1 0 0
.. .. oo3oo3oo3ox ..&#x  1  5 |  0   5  10 |  0   0  10  10  0 |  0   0    0   10   0   5  0 |  0   0    0    0   0   5   0   1  0 |  *   *   *    *   *   *   * 336   *  *  * | 0  0   0   0   0   0   0   1   0  1  1 0 0 | 0 1  0  0  0  1 1 0
.. .. .. oo3oo3ox3oo&#x  1 10 |  0  10  30 |  0   0  30  20 10 |  0   0    0   20  10   5  5 |  0   0    0    0   0   5   5   0  1 |  *   *   *    *   *   *   *   * 168  *  * | 0  0   0   0   0   0   0   0   2  0  2 0 0 | 0 0  0  0  1  2 1 0
.. .o3.o3.o3.o3.x ..     0  6 |  0   0  15 |  0   0   0  20  0 |  0   0    0    0   0  15  0 |  0   0    0    0   0   0   0   6  0 |  *   *   *    *   *   *   *   *   * 56  * | 0  0   0   0   0   0   0   0   0  1  0 1 1 | 0 1  0  0  0  0 1 1
.. .. .o3.o3.o3.x3.o     0 15 |  0   0  60 |  0   0   0  60 20 |  0   0    0    0   0  30 15 |  0   0    0    0   0   0   0   6  6 |  *   *   *    *   *   *   *   *   *  * 28 | 0  0   0   0   0   0   0   0   0  0  2 0 2 | 0 0  0  0  0  1 2 1
------------------------+------+------------+-------------------+-----------------------------+-------------------------------------+-------------------------------------------+--------------------------------------------+--------------------
x.3o.3o.3o.3o.3o. ..     7  0 | 21   0   0 | 35   0   0   0  0 | 35   0    0    0   0   0  0 | 21   0    0    0   0   0   0   0  0 |  7   0   0    0   0   0   0   0   0  0  0 | 8  *   *   *   *   *   *   *   *  *  * * * | 1 1  0  0  0  0 0 0
xo3oo3oo3oo3oo .. ..&#x  6  1 | 15   6   0 | 20  15   0   0  0 | 15  20    0    0   0   0  0 |  6  15    0    0   0   0   0   0  0 |  1   6   0    0   0   0   0   0   0  0  0 | * 28   *   *   *   *   *   *   *  *  * * * | 0 2  0  0  0  0 0 0
xo3oo3oo3oo .. ox ..&#x  5  2 | 10  10   1 | 10  20   5   0  0 |  5  20   10    0   0   0  0 |  1  10   10    0   0   0   0   0  0 |  0   2   5    0   0   0   0   0   0  0  0 | *  * 168   *   *   *   *   *   *  *  * * * | 0 1  1  0  0  0 0 0
xo3oo3oo .. oo3ox ..&#x  4  3 |  6  12   3 |  4  18  12   1  0 |  1  12   18    4   0   0  0 |  0   3   12    6   0   0   0   0  0 |  0   0   3    4   0   0   0   0   0  0  0 | *  *   * 280   *   *   *   *   *  *  * * * | 0 1  0  1  0  0 0 0
xo3oo3oo .. .. ox3oo&#x  4  3 |  6  12   3 |  4  18  12   0  1 |  1  12   18    0   4   0  0 |  0   3   12    0   6   0   0   0  0 |  0   0   3    0   4   0   0   0   0  0  0 | *  *   *   * 280   *   *   *   *  *  * * * | 0 0  1  1  0  0 0 0
xo3oo .. oo3oo3ox ..&#x  3  4 |  3  12   6 |  1  12  18   4  0 |  0   4   18   12   0   1  0 |  0   0    6   12   0   3   0   0  0 |  0   0   0    4   0   3   0   0   0  0  0 | *  *   *   *   * 280   *   *   *  *  * * * | 0 1  0  0  1  0 0 0
xo3oo .. .. oo3ox3oo&#x  3  6 |  3  18  12 |  1  18  36   4  4 |  0   6   36   12  12   0  1 |  0   0   12   12  12   0   3   0  0 |  0   0   0    4   4   0   3   0   0  0  0 | *  *   *   *   *   * 280   *   *  *  * * * | 0 0  0  1  1  0 0 0
xo .. oo3oo3oo3ox ..&#x  2  5 |  1  10  10 |  0   5  20  10  0 |  0   0   10   20   0   5  0 |  0   0    0   10   0  10   0   1  0 |  0   0   0    0   0   5   0   2   0  0  0 | *  *   *   *   *   *   * 168   *  *  * * * | 0 1  0  0  0  1 0 0
xo .. .. oo3oo3ox3oo&#x  2 10 |  1  20  30 |  0  10  60  20 10 |  0   0   30   40  20   5  5 |  0   0    0   20  10  10  10   0  1 |  0   0   0    0   0   5   5   0   2  0  0 | *  *   *   *   *   *   *   * 168  *  * * * | 0 0  0  0  1  1 0 0
.. oo3oo3oo3oo3ox ..&#x  1  6 |  0   6  15 |  0   0  15  20  0 |  0   0    0   20   0  15  0 |  0   0    0    0   0  15   0   6  0 |  0   0   0    0   0   0   0   6   0  1  0 | *  *   *   *   *   *   *   *   * 56  * * * | 0 1  0  0  0  0 1 0
.. .. oo3oo3oo3ox3oo&#x  1 15 |  0  15  60 |  0   0  60  60 20 |  0   0    0   60  20  30 15 |  0   0    0    0   0  30  15   6  6 |  0   0   0    0   0   0   0   6   6  0  1 | *  *   *   *   *   *   *   *   *  * 56 * * | 0 0  0  0  0  1 1 0
.o3.o3.o3.o3.o3.x ..     0  7 |  0   0  21 |  0   0   0  35  0 |  0   0    0    0   0  35  0 |  0   0    0    0   0   0   0  21  0 |  0   0   0    0   0   0   0   0   0  7  0 | *  *   *   *   *   *   *   *   *  *  * 8 * | 0 1  0  0  0  0 0 1
.. .o3.o3.o3.o3.x3.o     0 21 |  0   0 105 |  0   0   0 140 35 |  0   0    0    0   0 105 35 |  0   0    0    0   0   0   0  42 21 |  0   0   0    0   0   0   0   0   0  7  7 | *  *   *   *   *   *   *   *   *  *  * * 8 | 0 0  0  0  0  0 1 1
------------------------+------+------------+-------------------+-----------------------------+-------------------------------------+-------------------------------------------+--------------------------------------------+--------------------
x.3o.3o.3o.3o.3o.3o.     8  0 | 28   0   0 | 56   0   0   0  0 | 70   0    0    0   0   0  0 | 56   0    0    0   0   0   0   0  0 | 28   0   0    0   0   0   0   0   0  0  0 | 8  0   0   0   0   0   0   0   0  0  0 0 0 | 1 *  *  *  *  * * *
xo3oo3oo3oo3oo3ox ..&#x  7  7 | 21  42  21 | 35 105 105  35  0 | 35 140  210  140   0  35  0 | 21 105   21   21   0 105   0  21  0 |  7  42 105  140   0 105   0  42   0  7  0 | 1  7  21  35   0  35   0  21   0  7  0 1 0 | * 8  *  *  *  * * *
xo3oo3oo3oo .. ox3oo&#x  5  3 | 10  15   3 | 10  30  15   0  1 |  5  30   30    0   5   0  0 |  1  15   30    0  10   0   0   0  0 |  0   3  15    0  10   0   0   0   0  0  0 | 0  0   3   0   5   0   0   0   0  0  0 0 0 | * * 56  *  *  * * *
xo3oo3oo .. oo3ox3oo&#x  4  6 |  6  24  12 |  4  36  48   4  4 |  1  24   72   16  16   0  1 |  0   6   48   24  24   0   4   0  0 |  0   0  12   16  16   0   6   0   0  0  0 | 0  0   0   4   4   0   4   0   0  0  0 0 0 | * *  * 70  *  * * *
xo3oo .. oo3oo3ox3oo&#x  3 10 |  3  30  30 |  1  30  90  20 10 |  0  10   90   60  30   5  5 |  0   0   30   60  30  15  15   0  1 |  0   0   0   20  10  15  15   0   3  0  0 | 0  0   0   0   0   5   5   0   3  0  0 0 0 | * *  *  * 56  * * *
xo .. oo3oo3oo3ox3oo&#x  2 15 |  1  30  60 |  0  15 120  60 20 |  0   0   60  120  40  30 15 |  0   0    0   60  20  60  30   6  6 |  0   0   0    0   0  30  15  12  12  0  1 | 0  0   0   0   0   0   0   6   6  0  2 0 0 | * *  *  *  * 28 * *
.. oo3oo3oo3oo3ox3oo&#x  1 21 |  0  21 105 |  0   0 105 140 35 |  0   0    0  140  35 105 35 |  0   0    0    0   0 105  35  42 21 |  0   0   0    0   0   0   0  42  21  7  7 | 0  0   0   0   0   0   0   0   0  7  7 0 1 | * *  *  *  *  * 8 *
.o3.o3.o3.o3.o3.x3.o     0 28 |  0   0 168 |  0   0   0 280 56 |  0   0    0    0   0 280 70 |  0   0    0    0   0   0   0 168 56 |  0   0   0    0   0   0   0   0   0 56 28 | 0  0   0   0   0   0   0   0   0  0  0 8 8 | * *  *  *  *  * * 1

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