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The graph MqI?q?`A?___@F?x?

This graph is embeddable. It is even 21-grid embeddable.

Embedding

An embedding of this graph is given by.

(10, -20, 6)
(12, 0, -20)
(20, 16, 20)
(20, -10, 12)
(16, -20, 0)
(4, 8, 20)
(20, 16, -20)
(0, 20, 0)
(20, 0, -20)
(0, 0, 20)
(10, 20, 0)
(10, 20, -10)
(20, -10, 0)
(20, 0, 20)