Lagrange: The Flower of Rin-ne

Three minute short episode included on the 1st BD/DVD release.

Three minute short episode included on the 2nd BD/DVD release.

As a girl named Madoka Kyono rescues a girl from drowning, she finds her school uniform missing and later returned by a strange girl. Later that night, Madoka is questioned by her sister about something. The next day, Madoka once again meets the girl, who introduces herself as Lan and asks Madoka to pilot a robotic aircraft at an offshore base. As Madoka touches the aircraft and experiences a flashback of sorts, a robot from outer space appears and attacks the base. Lan reveals herself to be an alien sent to protect Madoka and the aircraft, the two of which are linked together. Madoka agrees to pilot the aircraft, which responds to her emotions and changes into a robotic form to fight against the enemy robot, defeating it using Madoka's knowledge of club activities.

Madoka’s excitement over her triumphant victory is short-lived when she is told by Pharos officials to be ready for the next battle. Feeling like she’s been tricked into becoming a Vox pilot, a furious Madoka plans an escape.

As Madoka rushes to fight against the enemy Ovid to protect her town, Lan becomes conflicted about a legend Madoka doesn't know of, the fear of which prevents her from being able to pilot her own Vox Lympha. As the enemy, Kirius, tries to ask Madoka to come to her planet, she refuses and the fight resumes. Feeling Madoka is in danger, Lan overcomes her fear and pilots the Lympha, but finds herself up against the other enemy Ovid. As Lan expresses her guilt towards dragging Madoka into this, Madoka lifts her spirits, enabling her to overcome her fears and transform Lympha into its fighter mode, allowing her to come to Madoka's aid, forcing the enemy to retreat. Afterwards, Madoka and Lan decide to name their Vox units Midori and Orca respectively.

As Madoka contemplates her career options, Lan is on a space station being experimented on by her brother, Dizelmine. Just then, the station is attacked by the De Metrio army, led by Muginami, forcing Lan and the Le Garite army to retreat. The next day, as Pharos appears in Kamogawa again for an intergalactic conference, Madoka finally reunites with Lan, who takes her to Pharos asking her to pilot Midori again. As Muginami is seen approaching Pharos, intending to stop Madoka from piloting Midori, Lan engages her in battle, believing she intends to kill Madoka. As Madoka objects to the fighting, she manages to get Midori working again and enters the fray.

Madoka rushes to try and stop Lan and Muginami from fighting, though has trouble piloting Midori in the process. Just then she hears Lan and Muginami's true thoughts about how they hate having to fight against each other. As Madoka fails to understand why Muginami and Lan must fight as they go into hiding, she once again loses control of Midori. Madoka tries to search for the whereabouts of Lan and Muginami, even going as far as to call Villaguilio. Meanwhile, both Lan and Muginami find themselves drawn towards the Jersey Clubroom, where Madoka eventually finds them. Seeing Lan and Muginami continue to struggle with their feelings, Madoka gets them to kiss and make up; literally. Putting their quarrels behind them, the three decide to reform the Jersey Club together.

As Kamogawa prepares for an intergalactic conference, Asteria calls Madoka, Lan and Muginami about a Vox Particle Control Experiment, the same that Dizelmine attempted on Lan. She explains about how she wants to try to use the power of the Voxes in a peaceful way to put Villagiulo and Dizelmine off their plans. Madoka agrees to undergo the experiment, and although the initial attempts show no reaction from her, Asteria manages to prompt a reaction from Madoka by embarrassing her. However, as they attempt to stop the experiment when Dizelmine and Villagiulo attempt to contact them, Madoka's levels continue to rise, causing a strange red phenomenom to appear in the sky, which starts forming strange creatures. Meanwhile, Madoka is haunted by visions of what appears to be Yurikano, warning her not to open the Rin-ne flower. When Madoka regains her sense, she finds all the creatures had been destroyed and more Rinne flowers have appeared.