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Fig. A.1.

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Evolution of the phase function with the frequency over the large speration. The phase function for different pressure radial orders is represented in blue. The straight line represents the identity function f(x) = x. Its intersections with the phase function are the solutions, in red. The grey square domains represent regions of constant np values. The vertical dashed lines are the positions of pure g-modes. The mixed-mode parameters used are q = 0.2 and ΔνΔπ1 = 200

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