Acronym tattoc
Name tritruncated octaexon
Circumradius sqrt(55)/4 = 1.854050
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Incidence matrix according to Dynkin symbol

o3o3x3x3o3o3o

. . . . . . . | 280 |   3   4 |   3  12   6 |  1  12  18   4 |  4  18  12  1 |  6 12  3 | 4 3
--------------+-----+---------+-------------+----------------+---------------+----------+----
. . x . . . . |   2 | 420   * |   2   4   0 |  1   8   6   0 |  4  12   4  0 |  6  8  1 | 4 2
. . . x . . . |   2 |   * 560 |   0   3   3 |  0   3   9   3 |  1   9   9  1 |  3  9  3 | 3 3
--------------+-----+---------+-------------+----------------+---------------+----------+----
. o3x . . . . |   3 |   3   0 | 280   *   * |  1   4   0   0 |  4   6   0  0 |  6  4  0 | 4 1
. . x3x . . . |   6 |   3   3 |   * 560   * |  0   2   3   0 |  1   6   3  0 |  3  6  1 | 3 2
. . . x3o . . |   3 |   0   3 |   *   * 560 |  0   0   3   2 |  0   3   6  1 |  1  6  3 | 2 3
--------------+-----+---------+-------------+----------------+---------------+----------+----
o3o3x . . . .    4 |   6   0 |   4   0   0 | 70   *   *   *   4   0   0  0 |  6  0  0 | 4 0
. o3x3x . . .   12 |  12   6 |   4   4   0 |  * 280   *   * |  1   3   0  0 |  3  3  0 | 3 1
. . x3x3o . .   12 |   6  12 |   0   4   4 |  *   * 420   * |  0   2   2  0 |  1  4  1 | 2 2
. . . x3o3o .    4 |   0   6 |   0   0   4 |  *   *   * 280 |  0   0   3  1 |  0  3  3 | 1 3
--------------+-----+---------+-------------+----------------+---------------+----------+----
o3o3x3x . . .   20 |  30  10 |  20  10   0 |  5   5   0   0 | 56   *   *  * |  3  0  0 | 3 0
. o3x3x3o . .   30 |  30  30 |  10  20  10 |  0   5   5   0 |  * 168   *  * |  1  2  0 | 2 1
. . x3x3o3o .   20 |  10  30 |   0  10  20 |  0   0   5   5 |  *   * 168  * |  0  2  1 | 1 2
. . . x3o3o3o    5 |   0  10 |   0   0  10 |  0   0   0   5 |  *   *   * 56 |  0  0  3 | 0 3
--------------+-----+---------+-------------+----------------+---------------+----------+----
o3o3x3x3o . .   60 |  90  60 |  60  60  20 | 15  30  15   0 |  6   6   0  0 | 28  *  * | 2 0
. o3x3x3o3o .   60 |  60  90 |  20  60  60 |  0  15  30  15 |  0   6   6  0 |  * 56  * | 1 1
. . x3x3o3o3o   30 |  15  60 |   0  20  60 |  0   0  15  30 |  0   0   6  6 |  *  * 28 | 0 2
--------------+-----+---------+-------------+----------------+---------------+----------+----
o3o3x3x3o3o .  140 | 210 210 | 140 210 140 | 35 105 105  35 | 21  42  21  0 |  7  7  0 | 8 *
. o3x3x3o3o3o  105 | 105 210 |  35 140 210 |  0  35 105 105 |  0  21  42 21 |  0  7  7 | * 8

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