What lie did Persephone tell in order to be in the underworld, Hades, for six months out of the year?

But, because Persephone had eaten six pomegranate seeds, it was decided that for six months of each year, she must return to the underworld with Hades, on Mabon, and winter would come to the world. During the six months that Persephone spent in the Underworld, her mother was sad and not in the mood to deal with harvest. Thus she would leave the Earth to decline. According to the ancient Greeks, these were the months of Autumn and Winter, when the land is not fertile and does not give crops.

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