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We show that as the point varies, exactly three possibilities arise: One for the $\\mathbb{F}_{q^2}$-rational points (already known in the literature), one for the $\\mathbb{F}_{q^6} \\setminus \\mathbb{F}_{q^2}$-rational points, and one for all remaining points. As a result, we prove a conjecture concerning the structure of $H(P)$ in case $P$ is an $\\mathbb{F}_{q^6} \\setminus \\mathbb{F}_{q^2}$-rational point. 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We show that as the point varies, exactly three possibilities arise: One for the $\\mathbb{F}_{q^2}$-rational points (already known in the literature), one for the $\\mathbb{F}_{q^6} \\setminus \\mathbb{F}_{q^2}$-rational points, and one for all remaining points. As a result, we prove a conjecture concerning the structure of $H(P)$ in case $P$ is an $\\mathbb{F}_{q^6} \\setminus \\mathbb{F}_{q^2}$-rational point. 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