定数: (algebra) constant

帝国: empire

楽天: optimism

初めて: for the first time, first

conjunctive form of あるく (aruku) [godan]

勝手に: selfishly; for one's convenience; wilfully, as one pleases

明哲: wisdom; wise man

大敵: powerful enemy / 対敵: confronting the enemy

反転: a roll over, a turnaround, a reversal / 飯店: a Chinese restaurant / 斑点: a spot, a speck / 半纏, 半天, 袢纏: a traditional short winter coat like a haori but without gussets / 半天: half of the sky; midair

反転: to roll over, to turn around, to reverse