The parabola $y = m^2 + 2$ (red) and its phantom $y = -n^2 +2$ (blue) viewed from three different angles. The roots at $n = \pm \sqrt{2}$ (or $x = \pm \sqrt{2} i$) are shown.

Sean is a PhD student researching geophysical fluid dynamics at UCL. He studies coastal outflows, but so far has been unable to persuade the department to send him on a research trip to the beach.

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