Long ago, harmony across the galaxy was maintained by a sacred star known as the Mother Planet. But that peace was shattered when the Mother mysteriously exploded and vanished without a trace. In the aftermath, the galaxy plunged into chaos and conflict. Yet from the scattered remnants of the Mother Planet, new beings were born—sentient fragments known as the Galverse. Now, these Galverse girls, each imbued with extraordinary powers and an unstoppable gal spirit, rise to confront the evil organization "Space End Society." As they battle across the stars, they begin to uncover the truth behind the galaxy's collapse—and the fate of the Mother Planet itself.

Thanks to the Sibyl System, the mental states of society can now be measured on a numerical scale. Using these "crime coefficients," a culprit can be apprehended before they ever commit a crime. But is it a perfect system? For Inspectors Kei Mikhail Ignatov and Arata Shindou, that remains to be seen, as their career with the Public Safety Bureau's Crime Investigation Department has only just begun. Shindou and Ignatov are assigned to investigate the crash of a ship carrying immigrants, but they begin to suspect that it was no mere accident. Meanwhile, a mysterious group called Bifrost is observing them from the shadows, but they aren't the only ones who have taken an interest in the two new Inspectors...

Inspectors Arata Shindou and Mikhail Kei Ignatov have uncovered a dangerous conspiracy. The Sybil System, the ultimate judge of human character in Japan, is being undermined by a criminal syndicate that is amassing wealth and power in the shadows. Now, Bifrost agent Kouichi Azusawa launches a direct assault upon the Criminal Investigation Department by occupying its headquarters and taking Inspector Shindou and everyone with him hostage. CID Unit 1 supervisor, along with Chief Mika Shimotsuki and former unit members Shinya Kougami and Nobuchika Ginoza, face the task of reclaiming the building and saving everyone inside. Alongside the hostage situation and Azusawa’s demands for Tokyo governor Karina Komiya’s resignation, there is a sinister plot hatching in the background—a secret plan that will force Inspector Shindou to confront not only Azusawa but also his own past. These events slowly bring him closer to unshrouding the mystery that has eluded him and his best friend, Ignatov, for many years.

It is a cross over between the series Lupin III and Detective Conan and takes place after the television special Lupin the 3rd vs Detective Conan. The plot follows Conan Edogawa who sets out to apprehend Arsène Lupin III, the suspect of stealing a jewel called Cherry Sapphire.

(Souce: Wikipedia)