  A quark nugget is a hypothetical dark-matter candidate composed of
approximately equal numbers of up, down, and strange quarks. Most models of
quark nuggets do not include effects of their intrinsic magnetic field.
However, Tatsumi used a mathematically tractable approximation of the Standard
Model of Particle Physics and found that the cores of magnetar pulsars may be
quark nuggets in a ferromagnetic liquid state with surface magnetic field Bo
between $10^{ 11}$ T and $10^{ 13}$ T. We have applied that result to
quark-nugget dark matter. Previous work addressed the formation and aggregation
of magnetized quark nuggets (MQNs) into a broad and magnetically stabilized
mass distribution before they could decay and addressed their interaction with
normal matter through their magnetopause, losing translational velocity while
gaining rotational velocity and radiating electromagnetic energy. The two
orders of magnitude uncertainty in Tatsumi estimate for Bo precludes the
practical design of systematic experiments to detect MQNs through their
predicted interaction with matter. In this paper, we examine episodic events
consistent with a unique signature of MQNs. If they are indeed caused by MQNs,
they constrain the most likely values of Bo to $1.65 x 10^{ 12}$ T $+/-$ $21\%$
and support the design of definitive tests of the MQN dark-matter hypothesis.
