Acronym cagral (old: gacral)
Name celligreatorhombated heptapeton,
stericantitruncated heptapeton
Circumradius sqrt(48/7) = 2.618615
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Incidence matrix according to Dynkin symbol

x3x3x3o3x3o

. . . . . . | 1260 |   1   1    2    4 |   1   2    4   2    4   1    4   2   2 |   2   4   1   4   2   2   1   4   2   2   2   2   1 |  1   4   2   2   2   2   1  2   2   1  1 | 2  2  1  1 1
------------+------+-------------------+----------------------------------------+-----------------------------------------------------+------------------------------------------+-------------
x . . . . . |    2 | 630   *    *    * |   1   2    4   0    0   0    0   0   0 |   2   4   1   4   2   2   0   0   0   0   0   0   0 |  1   4   2   2   2   2   1  0   0   0  0 | 2  2  1  1 0
. x . . . . |    2 |   * 630    *    * |   1   0    0   2    4   0    0   0   0 |   2   4   0   0   0   0   1   4   2   2   0   0   0 |  1   4   2   2   0   0   0  2   2   1  0 | 2  2  1  0 1
. . x . . . |    2 |   *   * 1260    * |   0   1    0   1    0   1    2   0   0 |   1   0   1   2   0   0   1   2   0   0   2   1   0 |  1   2   0   0   2   1   0  2   1   0  1 | 2  1  0  1 1
. . . . x . |    2 |   *   *    * 2520 |   0   0    1   0    1   0    1   1   1 |   0   1   0   1   1   1   0   1   1   1   1   1   1 |  0   1   1   1   1   1   1  1   1   1  1 | 1  1  1  1 1
------------+------+-------------------+----------------------------------------+-----------------------------------------------------+------------------------------------------+-------------
x3x . . . . |    6 |   3   3    0    0 | 210   *    *   *    *   *    *   *   * |   2   4   0   0   0   0   0   0   0   0   0   0   0 |  1   4   2   2   0   0   0  0   0   0  0 | 2  2  1  0 0
x . x . . . |    4 |   2   0    2    0 |   * 630    *   *    *   *    *   *   * |   1   0   1   2   0   0   0   0   0   0   0   0   0 |  1   2   0   0   2   1   0  0   0   0  0 | 2  1  0  1 0
x . . . x . |    4 |   2   0    0    2 |   *   * 1260   *    *   *    *   *   * |   0   1   0   1   1   1   0   0   0   0   0   0   0 |  0   1   1   1   1   1   1  0   0   0  0 | 1  1  1  1 0
. x3x . . . |    6 |   0   3    3    0 |   *   *    * 420    *   *    *   *   * |   1   0   0   0   0   0   1   2   0   0   0   0   0 |  1   2   0   0   0   0   0  2   1   0  0 | 2  1  0  0 1
. x . . x . |    4 |   0   2    0    2 |   *   *    *   * 1260   *    *   *   * |   0   1   0   0   0   0   0   1   1   1   0   0   0 |  0   1   1   1   0   0   0  1   1   1  0 | 1  1  1  0 1
. . x3o . . |    3 |   0   0    3    0 |   *   *    *   *    * 420    *   *   * |   0   0   1   0   0   0   1   0   0   0   2   0   0 |  1   0   0   0   2   0   0  2   0   0  1 | 2  0  0  1 1
. . x . x . |    4 |   0   0    2    2 |   *   *    *   *    *   * 1260   *   * |   0   0   0   1   0   0   0   1   0   0   1   1   0 |  0   1   0   0   1   1   0  1   1   0  1 | 1  1  0  1 1
. . . o3x . |    3 |   0   0    0    3 |   *   *    *   *    *   *    * 840   * |   0   0   0   0   1   0   0   0   1   0   1   0   1 |  0   0   1   0   1   0   1  1   0   1  1 | 1  0  1  1 1
. . . . x3o |    3 |   0   0    0    3 |   *   *    *   *    *   *    *   * 840 |   0   0   0   0   0   1   0   0   0   1   0   1   1 |  0   0   0   1   0   1   1  0   1   1  1 | 0  1  1  1 1
------------+------+-------------------+----------------------------------------+-----------------------------------------------------+------------------------------------------+-------------
x3x3x . . .    24 |  12  12   12    0 |   4   6    0   4    0   0    0   0   0 | 105   *   *   *   *   *   *   *   *   *   *   *   * |  1   2   0   0   0   0   0  0   0   0  0 | 2  1  0  0 0
x3x . . x .    12 |   6   6    0    6 |   2   0    3   0    3   0    0   0   0 |   * 420   *   *   *   *   *   *   *   *   *   *   * |  0   1   1   1   0   0   0  0   0   0  0 | 1  1  1  0 0
x . x3o . .     6 |   3   0    6    0 |   0   3    0   0    0   2    0   0   0 |   *   * 210   *   *   *   *   *   *   *   *   *   * |  1   0   0   0   2   0   0  0   0   0  0 | 2  0  0  1 0
x . x . x .     8 |   4   0    4    4 |   0   2    2   0    0   0    2   0   0 |   *   *   * 630   *   *   *   *   *   *   *   *   * |  0   1   0   0   1   1   0  0   0   0  0 | 1  1  0  1 0
x . . o3x .     6 |   3   0    0    6 |   0   0    3   0    0   0    0   2   0 |   *   *   *   * 420   *   *   *   *   *   *   *   * |  0   0   1   0   1   0   1  0   0   0  0 | 1  0  1  1 0
x . . . x3o     6 |   3   0    0    6 |   0   0    3   0    0   0    0   0   2 |   *   *   *   *   * 420   *   *   *   *   *   *   * |  0   0   0   1   0   1   1  0   0   0  0 | 0  1  1  1 0
. x3x3o . .    12 |   0   6   12    0 |   0   0    0   4    0   4    0   0   0 |   *   *   *   *   *   * 105   *   *   *   *   *   * |  1   0   0   0   0   0   0  2   0   0  0 | 2  0  0  0 1
. x3x . x .    12 |   0   6    6    6 |   0   0    0   2    3   0    3   0   0 |   *   *   *   *   *   *   * 420   *   *   *   *   * |  0   1   0   0   0   0   0  1   1   0  0 | 1  1  0  0 1
. x . o3x .     6 |   0   3    0    6 |   0   0    0   0    3   0    0   2   0 |   *   *   *   *   *   *   *   * 420   *   *   *   * |  0   0   1   0   0   0   0  1   0   1  0 | 1  0  1  0 1
. x . . x3o     6 |   0   3    0    6 |   0   0    0   0    3   0    0   0   2 |   *   *   *   *   *   *   *   *   * 420   *   *   * |  0   0   0   1   0   0   0  0   1   1  0 | 0  1  1  0 1
. . x3o3x .    12 |   0   0   12   12 |   0   0    0   0    0   4    6   4   0 |   *   *   *   *   *   *   *   *   *   * 210   *   * |  0   0   0   0   1   0   0  1   0   0  1 | 1  0  0  1 1
. . x . x3o     6 |   0   0    3    6 |   0   0    0   0    0   0    3   0   2 |   *   *   *   *   *   *   *   *   *   *   * 420   * |  0   0   0   0   0   1   0  0   1   0  1 | 0  1  0  1 1
. . . o3x3o     6 |   0   0    0   12 |   0   0    0   0    0   0    0   4   4 |   *   *   *   *   *   *   *   *   *   *   *   * 210 |  0   0   0   0   0   0   1  0   0   1  1 | 0  0  1  1 1
------------+------+-------------------+----------------------------------------+-----------------------------------------------------+------------------------------------------+-------------
x3x3x3o . .    60 |  30  30   60    0 |  10  30    0  20    0  20    0   0   0 |   5   0  10   0   0   0   5   0   0   0   0   0   0 | 21   *   *   *   *   *   *  *   *   *  * | 2  0  0  0 0
x3x3x . x .    48 |  24  24   24   24 |   8  12   12   8   12   0   12   0   0 |   2   4   0   6   0   0   0   4   0   0   0   0   0 |  * 105   *   *   *   *   *  *   *   *  * | 1  1  0  0 0
x3x . o3x .    18 |   9   9    0   18 |   3   0    9   0    9   0    0   6   0 |   0   3   0   0   3   0   0   0   3   0   0   0   0 |  *   * 140   *   *   *   *  *   *   *  * | 1  0  1  0 0
x3x . . x3o    18 |   9   9    0   18 |   3   0    9   0    9   0    0   0   6 |   0   3   0   0   0   3   0   0   0   3   0   0   0 |  *   *   * 140   *   *   *  *   *   *  * | 0  1  1  0 0
x . x3o3x .    24 |  12   0   24   24 |   0  12   12   0    0   8   12   8   0 |   0   0   4   6   4   0   0   0   0   0   2   0   0 |  *   *   *   * 105   *   *  *   *   *  * | 1  0  0  1 0
x . x . x3o    12 |   6   0    6   12 |   0   3    6   0    0   0    6   0   4 |   0   0   0   3   0   2   0   0   0   0   0   2   0 |  *   *   *   *   * 210   *  *   *   *  * | 0  1  0  1 0
x . . o3x3o    12 |   6   0    0   24 |   0   0   12   0    0   0    0   8   8 |   0   0   0   0   4   4   0   0   0   0   0   0   2 |  *   *   *   *   *   * 105  *   *   *  * | 0  0  1  1 0
. x3x3o3x .    60 |   0  30   60   60 |   0   0    0  20   30  20   30  20   0 |   0   0   0   0   0   0   5  10  10   0   5   0   0 |  *   *   *   *   *   *   * 42   *   *  * | 1  0  0  0 1
. x3x . x3o    18 |   0   9    9   18 |   0   0    0   3    9   0    9   0   6 |   0   0   0   0   0   0   0   3   0   3   0   3   0 |  *   *   *   *   *   *   *  * 140   *  * | 0  1  0  0 1
. x . o3x3o    12 |   0   6    0   24 |   0   0    0   0   12   0    0   8   8 |   0   0   0   0   0   0   0   0   4   4   0   0   2 |  *   *   *   *   *   *   *  *   * 105  * | 0  0  1  0 1
. . x3o3x3o    30 |   0   0   30   60 |   0   0    0   0    0  10   30  20  20 |   0   0   0   0   0   0   0   0   0   0   5  10   5 |  *   *   *   *   *   *   *  *   *   * 42 | 0  0  0  1 1
------------+------+-------------------+----------------------------------------+-----------------------------------------------------+------------------------------------------+-------------
x3x3x3o3x .   360 | 180 180  360  360 |  60 180  180 120  180 120  180 120   0 |  30  60  60  90  60   0  30  60  60   0  30   0   0 |  6  15  20   0  15   0   0  6   0   0  0 | 7  *  *  * *
x3x3x . x3o    72 |  36  36   36   72 |  12  18   36  12   36   0   36   0  24 |   3  12   0  18   0  12   0  12   0  12   0  12   0 |  0   3   0   4   0   6   0  0   4   0  0 | * 35  *  * *
x3x . o3x3o    36 |  18  18    0   72 |   6   0   36   0   36   0    0  24  24 |   0  12   0   0  12  12   0   0  12  12   0   0   6 |  0   0   4   4   0   0   3  0   0   3  0 | *  * 35  * *
x . x3o3x3o    60 |  30   0   60  120 |   0  30   60   0    0  20   60  40  40 |   0   0  10  30  20  20   0   0   0   0  10  20  10 |  0   0   0   0   5  10   5  0   0   0  2 | *  *  * 21 *
. x3x3o3x3o   180 |   0  90  180  360 |   0   0    0  60  180  60  180 120 120 |   0   0   0   0   0   0  15  60  60  60  30  60  30 |  0   0   0   0   0   0   0  6  20  15  6 | *  *  *  * 7

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