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Region：Japan
Type：OVA
English name：Rinne no Lagrange: Kamogawa Days / Lagrange: The Flower of Rin-ne – Kamogawa Days
Official name：輪廻のラグランジェ鴨川デイズ
Chinese name：轮回的拉格朗日鸭川日常
Other names：Rinne no Lagrange: Flower Declaration of Your Heart - Kamogawa Days
Premiered：August 23, 2012
Status：Finished Airing
Tags：Science fiction / Lily / Robot war / Source original
Original author：Production I.G
Director：鈴木利正 / 佐藤竜雄
Scenario：菅正太郎構成協力：森田繁 / 野村祐一 / 森田繁
Storyboard：伊藤浩二 / 西嶋かな
Character design：森沢晴行 / 乘田拓茂 / 小林千鶴
Music：フライングドッグ / 鈴木さえ子 / TOMISIRO / 明田川仁
Studios：XEBEC
Production cooperation：スタジオパストラル / Production I.G
Producers：ラグランジェ・プロジェクト(バンダイビジュアル, 読売テレビ, フライングドッグ, Production I.G, サミー, 博報堂DYメディアパートナーズ)
Family：Lagrange: The Flower of Rin-ne
Rating：12+

Rinne no Lagrange: Kamogawa Days

As Yoko has her assistant scour the seabed in search of something, Madoka, unable to pilot Midori properly again, returns to Kamogawa to see the New Year in.

Upon returning home, Madoka receives New Year's letters from Lan and Muginami, updating her about what's going on in their lives, to which Madoka makes a prompt reply.

As the months pass by and Madoka moves up a year in school, Lan and Muginami visit an intergalactic replica of Kamogawa on the tourist planet Polyhedron.

Takes place between seasons 1 and 2.