Acronym gapil
Name great prismated heptapeton,
runcicantitruncated heptapeton
Circumradius sqrt(55/7) = 2.803060
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Incidence matrix according to Dynkin symbol

x3x3x3x3o3o

. . . . . . | 840 |   1   1   1    3 |   1   1   3   1   3   3   3 |  1   3   3   3   3   3   3   1 |  3   3   3   1  3   1  1 | 3  1  1 1
------------+-----+------------------+-----------------------------+--------------------------------+--------------------------+----------
x . . . . . |   2 | 420   *   *    * |   1   1   3   0   0   0   0 |  1   3   3   3   0   0   0   0 |  3   3   3   1  0   0  0 | 3  1  1 0
. x . . . . |   2 |   * 420   *    * |   1   0   0   1   3   0   0 |  1   3   0   0   3   3   0   0 |  3   3   0   0  3   1  0 | 3  1  0 1
. . x . . . |   2 |   *   * 420    * |   0   1   0   1   0   3   0 |  1   0   3   0   3   0   3   0 |  3   0   3   0  3   0  1 | 3  0  1 1
. . . x . . |   2 |   *   *   * 1260 |   0   0   1   0   1   1   2 |  0   1   1   2   1   2   2   1 |  1   2   2   1  2   1  1 | 2  1  1 1
------------+-----+------------------+-----------------------------+--------------------------------+--------------------------+----------
x3x . . . . |   6 |   3   3   0    0 | 140   *   *   *   *   *   * |  1   3   0   0   0   0   0   0 |  3   3   0   0  0   0  0 | 3  1  0 0
x . x . . . |   4 |   2   0   2    0 |   * 210   *   *   *   *   * |  1   0   3   0   0   0   0   0 |  3   0   3   0  0   0  0 | 3  0  1 0
x . . x . . |   4 |   2   0   0    2 |   *   * 630   *   *   *   * |  0   1   1   2   0   0   0   0 |  1   2   2   1  0   0  0 | 2  1  1 0
. x3x . . . |   6 |   0   3   3    0 |   *   *   * 140   *   *   * |  1   0   0   0   3   0   0   0 |  3   0   0   0  3   0  0 | 3  0  0 1
. x . x . . |   4 |   0   2   0    2 |   *   *   *   * 630   *   * |  0   1   0   0   1   2   0   0 |  1   2   0   0  2   1  0 | 2  1  0 1
. . x3x . . |   6 |   0   0   3    3 |   *   *   *   *   * 420   * |  0   0   1   0   1   0   2   0 |  1   0   2   0  2   0  1 | 2  0  1 1
. . . x3o . |   3 |   0   0   0    3 |   *   *   *   *   *   * 840 |  0   0   0   1   0   1   1   1 |  0   1   1   1  1   1  1 | 1  1  1 1
------------+-----+------------------+-----------------------------+--------------------------------+--------------------------+----------
x3x3x . . .   24 |  12  12  12    0 |   4   6   0   4   0   0   0 | 35   *   *   *   *   *   *   * |  3   0   0   0  0   0  0 | 3  0  0 0
x3x . x . .   12 |   6   6   0    6 |   2   0   3   0   3   0   0 |  * 210   *   *   *   *   *   * |  1   2   0   0  0   0  0 | 2  1  0 0
x . x3x . .   12 |   6   0   6    6 |   0   3   3   0   0   2   0 |  *   * 210   *   *   *   *   * |  1   0   2   0  0   0  0 | 2  0  1 0
x . . x3o .    6 |   3   0   0    6 |   0   0   3   0   0   0   2 |  *   *   * 420   *   *   *   * |  0   1   1   1  0   0  0 | 1  1  1 0
. x3x3x . .   24 |   0  12  12   12 |   0   0   0   4   6   4   0 |  *   *   *   * 105   *   *   * |  1   0   0   0  2   0  0 | 2  0  0 1
. x . x3o .    6 |   0   3   0    6 |   0   0   0   0   3   0   2 |  *   *   *   *   * 420   *   * |  0   1   0   0  1   1  0 | 1  1  0 1
. . x3x3o .   12 |   0   0   6   12 |   0   0   0   0   0   4   4 |  *   *   *   *   *   * 210   * |  0   0   1   0  1   0  1 | 1  0  1 1
. . . x3o3o    4 |   0   0   0    6 |   0   0   0   0   0   0   4 |  *   *   *   *   *   *   * 210 |  0   0   0   1  0   1  1 | 0  1  1 1
------------+-----+------------------+-----------------------------+--------------------------------+--------------------------+----------
x3x3x3x . .  120 |  60  60  60   60 |  20  30  30  20  30  20   0 |  5  10  10   0   5   0   0   0 | 21   *   *   *  *   *  * | 2  0  0 0
x3x . x3o .   18 |   9   9   0   18 |   3   0   9   0   9   0   6 |  0   3   0   3   0   3   0   0 |  * 140   *   *  *   *  * | 1  1  0 0
x . x3x3o .   24 |  12   0  12   24 |   0   6  12   0   0   8   8 |  0   0   4   4   0   0   2   0 |  *   * 105   *  *   *  * | 1  0  1 0
x . . x3o3o    8 |   4   0   0   12 |   0   0   6   0   0   0   8 |  0   0   0   4   0   0   0   2 |  *   *   * 105  *   *  * | 0  1  1 0
. x3x3x3o .   60 |   0  30  30   60 |   0   0   0  10  30  20  20 |  0   0   0   0   5  10   5   0 |  *   *   *   * 42   *  * | 1  0  0 1
. x . x3o3o    8 |   0   4   0   12 |   0   0   0   0   6   0   8 |  0   0   0   0   0   4   0   2 |  *   *   *   *  * 105  * | 0  1  0 1
. . x3x3o3o   20 |   0   0  10   30 |   0   0   0   0   0  10  20 |  0   0   0   0   0   0   5   5 |  *   *   *   *  *   * 42 | 0  0  1 1
------------+-----+------------------+-----------------------------+--------------------------------+--------------------------+----------
x3x3x3x3o .  360 | 180 180 180  360 |  60  90 180  60 180 120 120 | 15  60  60  60  30  60  30   0 |  6  20  15   0  6   0  0 | 7  *  * *
x3x . x3o3o   24 |  12  12   0   36 |   4   0  18   0  18   0  24 |  0   6   0  12   0  12   0   6 |  0   4   0   3  0   3  0 | * 35  * *
x . x3x3o3o   40 |  20   0  20   60 |   0  10  30   0   0  20  40 |  0   0  10  20   0   0  10  10 |  0   0   5   5  0   0  2 | *  * 21 *
. x3x3x3o3o  120 |   0  60  60  180 |   0   0   0  20  90  60 120 |  0   0   0   0  15  60  30  30 |  0   0   0   0  6  15  6 | *  *  * 7

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