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Crossposted [here](https://mathematica.stackexchange.com/q/251130/58370).
Hi Guangye, By default plots in WL exclude singularities. In this case, they must occur where some denominator in `eq1 == 0`. Override that. ContourPlot[eq1 == 0, {T, -5.025*(10^6), 0}, {p, -0.1, 0.4}, Exclusions -> None, PlotPoints...