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The graph M`_[A?`G__G@AF@w?

This graph is embeddable. It is even 11-grid embeddable.

Embedding

An embedding of this graph is given by.

(10, 0, 0)
(0, 10, 4)
(2, 10, -10)
(10, 8, 10)
(0, -2, 10)
(10, -10, -2)
(0, 0, 10)
(4, -4, 10)
(10, -10, -8)
(10, -2, 0)
(10, 0, -10)
(10, -4, 10)
(2, 10, 2)
(10, 10, 0)