/usr/share/app-install/desktop/gplanarity:gplanarity.desktop is in app-install-data 0.12.04.4.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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X-AppInstall-Package=gplanarity
X-AppInstall-Popcon=51
X-AppInstall-Section=universe
Version=1.0
Name=gPlanarity
Comment=Puzzle game involving untangling planar graphs
Exec=gplanarity
Icon=gPicon
Terminal=false
Type=Application
Categories=Game;
StartupNotify=true
X-Ubuntu-Gettext-Domain=app-install-data
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