Acronym togral (old: gotral)
Name terigreatorhombated heptapeton,
penticantitruncated heptapeton
Circumradius sqrt(40/7) = 2.390457
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Incidence matrix according to Dynkin symbol

x3x3x3o3o3x

. . . . . . | 840 |   1   1    3    3 |   1   3   3   3   3   3    6   3 |   3   3   3   6   3   3   6   3   1   3   3   1 |  3   6   3   1   3   3   1  1   3   3   1  1 | 1  3  3  1  1 1
------------+-----+-------------------+----------------------------------+-------------------------------------------------+----------------------------------------------+----------------
x . . . . . |   2 | 420   *    *    * |   1   3   3   0   0   0    0   0 |   3   3   3   6   3   0   0   0   0   0   0   0 |  3   6   3   1   3   3   1  0   0   0   0  0 | 1  3  3  1  1 0
. x . . . . |   2 |   * 420    *    * |   1   0   0   3   3   0    0   0 |   3   3   0   0   0   3   6   3   0   0   0   0 |  3   6   3   0   0   0   0  1   3   3   1  0 | 1  3  3  1  0 1
. . x . . . |   2 |   *   * 1260    * |   0   1   0   1   0   2    2   0 |   1   0   2   2   0   2   2   0   1   2   1   0 |  2   2   0   1   2   1   0  1   2   1   0  1 | 1  2  1  0  1 1
. . . . . x |   2 |   *   *    * 1260 |   0   0   1   0   1   0    2   2 |   0   1   0   2   2   0   2   2   0   1   2   1 |  0   2   2   0   1   2   1  0   1   2   1  1 | 0  1  2  1  1 1
------------+-----+-------------------+----------------------------------+-------------------------------------------------+----------------------------------------------+----------------
x3x . . . . |   6 |   3   3    0    0 | 140   *   *   *   *   *    *   * |   3   3   0   0   0   0   0   0   0   0   0   0 |  3   6   3   0   0   0   0  0   0   0   0  0 | 1  3  3  1  0 0
x . x . . . |   4 |   2   0    2    0 |   * 630   *   *   *   *    *   * |   1   0   2   2   0   0   0   0   0   0   0   0 |  2   2   0   1   2   1   0  0   0   0   0  0 | 1  2  1  0  1 0
x . . . . x |   4 |   2   0    0    2 |   *   * 630   *   *   *    *   * |   0   1   0   2   2   0   0   0   0   0   0   0 |  0   2   2   0   1   2   1  0   0   0   0  0 | 0  1  2  1  1 0
. x3x . . . |   6 |   0   3    3    0 |   *   *   * 420   *   *    *   * |   1   0   0   0   0   2   2   0   0   0   0   0 |  2   2   0   0   0   0   0  1   2   1   0  0 | 1  2  1  0  0 1
. x . . . x |   4 |   0   2    0    2 |   *   *   *   * 630   *    *   * |   0   1   0   0   0   0   2   2   0   0   0   0 |  0   2   2   0   0   0   0  0   1   2   1  0 | 0  1  2  1  0 1
. . x3o . . |   3 |   0   0    3    0 |   *   *   *   *   * 840    *   * |   0   0   1   0   0   1   0   0   1   1   0   0 |  1   0   0   1   1   0   0  1   1   0   0  1 | 1  1  0  0  1 1
. . x . . x |   4 |   0   0    2    2 |   *   *   *   *   *   * 1260   * |   0   0   0   1   0   0   1   0   0   1   1   0 |  0   1   0   0   1   1   0  0   1   1   0  1 | 0  1  1  0  1 1
. . . . o3x |   3 |   0   0    0    3 |   *   *   *   *   *   *    * 840 |   0   0   0   0   1   0   0   1   0   0   1   1 |  0   0   1   0   0   1   1  0   0   1   1  1 | 0  0  1  1  1 1
------------+-----+-------------------+----------------------------------+-------------------------------------------------+----------------------------------------------+----------------
x3x3x . . .   24 |  12  12   12    0 |   4   6   0   4   0   0    0   0 | 105   *   *   *   *   *   *   *   *   *   *   * |  2   2   0   0   0   0   0  0   0   0   0  0 | 1  2  1  0  0 0
x3x . . . x   12 |   6   6    0    6 |   2   0   3   0   3   0    0   0 |   * 210   *   *   *   *   *   *   *   *   *   * |  0   2   2   0   0   0   0  0   0   0   0  0 | 0  1  2  1  0 0
x . x3o . .    6 |   3   0    6    0 |   0   3   0   0   0   2    0   0 |   *   * 420   *   *   *   *   *   *   *   *   * |  1   0   0   1   1   0   0  0   0   0   0  0 | 1  1  0  0  1 0
x . x . . x    8 |   4   0    4    4 |   0   2   2   0   0   0    2   0 |   *   *   * 630   *   *   *   *   *   *   *   * |  0   1   0   0   1   1   0  0   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 |   *   *   *   * 420   *   *   *   *   *   *   * |  0   0   1   0   0   1   1  0   0   0   0  0 | 0  0  1  1  1 0
. x3x3o . .   12 |   0   6   12    0 |   0   0   0   4   0   4    0   0 |   *   *   *   *   * 210   *   *   *   *   *   * |  1   0   0   0   0   0   0  1   1   0   0  0 | 1  1  0  0  0 1
. x3x . . x   12 |   0   6    6    6 |   0   0   0   2   3   0    3   0 |   *   *   *   *   *   * 420   *   *   *   *   * |  0   1   0   0   0   0   0  0   1   1   0  0 | 0  1  1  0  0 1
. x . . o3x    6 |   0   3    0    6 |   0   0   0   0   3   0    0   2 |   *   *   *   *   *   *   * 420   *   *   *   * |  0   0   1   0   0   0   0  0   0   1   1  0 | 0  0  1  1  0 1
. . x3o3o .    4 |   0   0    6    0 |   0   0   0   0   0   4    0   0 |   *   *   *   *   *   *   *   * 210   *   *   * |  0   0   0   1   0   0   0  1   0   0   0  1 | 1  0  0  0  1 1
. . x3o . x    6 |   0   0    6    3 |   0   0   0   0   0   2    3   0 |   *   *   *   *   *   *   *   *   * 420   *   * |  0   0   0   0   1   0   0  0   1   0   0  1 | 0  1  0  0  1 1
. . x . o3x    6 |   0   0    3    6 |   0   0   0   0   0   0    3   2 |   *   *   *   *   *   *   *   *   *   * 420   * |  0   0   0   0   0   1   0  0   0   1   0  1 | 0  0  1  0  1 1
. . . o3o3x    4 |   0   0    0    6 |   0   0   0   0   0   0    0   4 |   *   *   *   *   *   *   *   *   *   *   * 210 |  0   0   0   0   0   0   1  0   0   0   1  1 | 0  0  0  1  1 1
------------+-----+-------------------+----------------------------------+-------------------------------------------------+----------------------------------------------+----------------
x3x3x3o . .   60 |  30  30   60    0 |  10  30   0  20   0  20    0   0 |   5   0  10   0   0   5   0   0   0   0   0   0 | 42   *   *   *   *   *   *  *   *   *   *  * | 1  1  0  0  0 0
x3x3x . . x   48 |  24  24   24   24 |   8  12  12   8  12   0   12   0 |   2   4   0   6   0   0   4   0   0   0   0   0 |  * 105   *   *   *   *   *  *   *   *   *  * | 0  1  1  0  0 0
x3x . . o3x   18 |   9   9    0   18 |   3   0   9   0   9   0    0   6 |   0   3   0   0   3   0   0   3   0   0   0   0 |  *   * 140   *   *   *   *  *   *   *   *  * | 0  0  1  1  0 0
x . x3o3o .    8 |   4   0   12    0 |   0   6   0   0   0   8    0   0 |   0   0   4   0   0   0   0   0   2   0   0   0 |  *   *   * 105   *   *   *  *   *   *   *  * | 1  0  0  0  1 0
x . x3o . x   12 |   6   0   12    6 |   0   6   3   0   0   4    6   0 |   0   0   2   3   0   0   0   0   0   2   0   0 |  *   *   *   * 210   *   *  *   *   *   *  * | 0  1  0  0  1 0
x . x . o3x   12 |   6   0    6   12 |   0   3   6   0   0   0    6   4 |   0   0   0   3   2   0   0   0   0   0   2   0 |  *   *   *   *   * 210   *  *   *   *   *  * | 0  0  1  0  1 0
x . . o3o3x    8 |   4   0    0   12 |   0   0   6   0   0   0    0   8 |   0   0   0   0   4   0   0   0   0   0   0   2 |  *   *   *   *   *   * 105  *   *   *   *  * | 0  0  0  1  1 0
. x3x3o3o .   20 |   0  10   30    0 |   0   0   0  10   0  20    0   0 |   0   0   0   0   0   5   0   0   5   0   0   0 |  *   *   *   *   *   *   * 42   *   *   *  * | 1  0  0  0  0 1
. x3x3o . x   24 |   0  12   24   12 |   0   0   0   8   6   8   12   0 |   0   0   0   0   0   2   4   0   0   4   0   0 |  *   *   *   *   *   *   *  * 105   *   *  * | 0  1  0  0  0 1
. x3x . o3x   18 |   0   9    9   18 |   0   0   0   3   9   0    9   6 |   0   0   0   0   0   0   3   3   0   0   3   0 |  *   *   *   *   *   *   *  *   * 140   *  * | 0  0  1  0  0 1
. x . o3o3x    8 |   0   4    0   12 |   0   0   0   0   6   0    0   8 |   0   0   0   0   0   0   0   4   0   0   0   2 |  *   *   *   *   *   *   *  *   *   * 105  * | 0  0  0  1  0 1
. . x3o3o3x   20 |   0   0   30   30 |   0   0   0   0   0  20   30  20 |   0   0   0   0   0   0   0   0   5  10  10   5 |  *   *   *   *   *   *   *  *   *   *   * 42 | 0  0  0  0  1 1
------------+-----+-------------------+----------------------------------+-------------------------------------------------+----------------------------------------------+----------------
x3x3x3o3o .  120 |  60  60  180    0 |  20  90   0  60   0 120    0   0 |  15   0  60   0   0  30   0   0  30   0   0   0 |  6   0   0  15   0   0   0  6   0   0   0  0 | 7  *  *  *  * *
x3x3x3o . x  120 |  60  60  120   60 |  20  60  30  40  30  40   60   0 |  10  10  20  30   0  10  20   0   0  20   0   0 |  2   5   0   0  10   0   0  0   5   0   0  0 | * 21  *  *  * *
x3x3x . o3x   72 |  36  36   36   72 |  12  18  36  12  36   0   36  24 |   3  12   0  18  12   0  12  12   0   0  12   0 |  0   3   4   0   0   6   0  0   0   4   0  0 | *  * 35  *  * *
x3x . o3o3x   24 |  12  12    0   36 |   4   0  18   0  18   0    0  24 |   0   6   0   0  12   0   0  12   0   0   0   6 |  0   0   4   0   0   0   3  0   0   0   3  0 | *  *  * 35  * *
x . x3o3o3x   40 |  20   0   60   60 |   0  30  30   0   0  40   60  40 |   0   0  20  30  20   0   0   0  10  20  20  10 |  0   0   0   5  10  10   5  0   0   0   0  2 | *  *  *  * 21 *
. x3x3o3o3x  120 |   0  60  180  180 |   0   0   0  60  90 120  180 120 |   0   0   0   0   0  30  60  60  30  60  60  30 |  0   0   0   0   0   0   0  6  15  20  15  6 | *  *  *  *  * 7

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