Finite Group Databasebeta

← Group #13152784

Character table — Group #13152784

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size11112222223333333344444444444466666666666666668888121212121212121212121212121212121212121212121212121212121212181818181818181818181818242424242424242424242424363636363636363636363636363636363636
order12222236663366666622244466666666669991818181818181818186121212666666121212121212181818181818181818181818181818181818444412121212121212121818183636363636363636362444446612121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111
χ5111111111111111111-1-111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ6111111111111111111-1-111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ7111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ8111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111111111
χ91111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ101111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i32
χ111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1111111−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-1-111-1-11+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ121111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1111111−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i3211-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ131111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-111-1-1-1-1−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-1111+i321−i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ141111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-111-1-1-1-1−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ151111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111-1-1-1-1−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1111+i321+i321−i321−i321+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32
χ161111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111-1-1-1-1−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1111+i321+i321−i321−i321+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-111111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ171111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ181111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i32
χ191111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-1111111−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-1-111-1-11−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ201111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-1111111−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i3211-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ211111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-111-1-1-1-1−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-1111−i321+i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ221111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-111-1-1-1-1−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ231111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111-1-1-1-1−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1111−i321−i321+i321+i321−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i3211-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32
χ241111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111-1-1-1-1−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1111−i321−i321+i321+i321−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-111111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ251111-1-11111111111111-11-11-1-1-111-1-1-1-1-1-11111111111111-11-11-11-111-1-11-11-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1111-1-1-11-11-11-11-11-11-111-1-11-11-11-11-1
χ261111-1-11111111111111-11-11-1-1-111-1-1-1-1-1-11111111111111-11-11-11-111-1-11-11-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111111-1-1-11-11-11-1-11-11-11-1-111-11-11-11-11
χ271111-1-11111111111111-1-11-11-1-111-1-1-1-1-1-1111111111111-11-111-11-1-1-111-11-11-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1111-11-11-11-111-1-11-1-1111-11-1-11-11
χ281111-1-11111111111111-1-11-11-1-111-1-1-1-1-1-1111111111111-11-111-11-1-1-111-11-11-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-1-1111-11-11-111-1-111-111-1-1-11-111-11-1
χ291111-1-1111111111111-111-1-11-1-1-1-111-1-1-1-11111111111111-1-11-11-1111-1-1-11-11-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1111-1-1-1-11-11-11-11-111-1-1-111-11-111-11-1
χ301111-1-1111111111111-111-1-11-1-1-1-111-1-1-1-11111111111111-1-11-11-1111-1-1-11-11-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111111-1-1-1-11-11-111-11-1-1111-1-11-11-1-11-11
χ311111-1-1111111111111-11-111-1-1-1-1-111-1-1-1-1111111111111-111-1-11-11-1-1111-11-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-1-11111-11-11-11-1-11-1111-1-1-11-11-11-11
χ321111-1-1111111111111-11-111-1-1-1-1-111-1-1-1-1111111111111-111-1-11-11-1-1111-11-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1-11111-11-11-1-111-11-1-1-1111-11-11-11-1
χ331111-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-11-1-1-111-1-11+i321+i321−i321−i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-11-1−1−i321+i32−1+i321−i32−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i32-1-11+i321+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321−1−i32−1+i32-11+i321−i321-1−1−i321+i32−1+i321−i321-11-11-1−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ341111-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-11-1-1-111-1-11+i321+i321−i321−i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-11-1−1−i321+i32−1+i321−i32−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i32-1-11+i321+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−1−i32−1+i32-11+i321−i321-1−1−i321+i32−1+i321−i32-11-11-111+i321−i32−1−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ351111-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-11-11-1-111-1-11+i321+i321−i321−i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11-11−1−i321+i32−1+i321−i321+i321−i32−1−i32−1+i321+i32−1−i321−i32−1+i32-1-11+i321+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11+i321−i321−1−i32−1+i32-111+i32−1−i321−i32−1+i32-111-1-111+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ361111-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-11-11-1-111-1-11+i321+i321−i321−i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11-11−1−i321+i32−1+i321−i321+i321−i32−1−i32−1+i321+i32−1−i321−i32−1+i32-1-11+i321+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11+i321−i321−1−i32−1+i32-111+i32−1−i321−i32−1+i321-1-111-1−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32
χ371111-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-111-1-11-1-1-1-1111+i321+i321−i321−i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-111+i32−1−i321−i32−1+i32−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i32-1-11+i321+i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321−1−i32−1+i32-11+i321−i32-111+i32−1−i321−i32−1+i32-11-111-11+i321−i32−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32
χ381111-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-111-1-11-1-1-1-1111+i321+i321−i321−i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-111+i32−1−i321−i32−1+i32−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i32-1-11+i321+i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−1−i32−1+i32-11+i321−i32-111+i32−1−i321−i32−1+i321-11-1-11−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ391111-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-111-1-1-1-1-1111+i321+i321−i321−i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-111-11+i32−1−i321−i32−1+i321+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i32-1-11+i321+i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11+i321−i321−1−i32−1+i321-1−1−i321+i32−1+i321−i321-1-11-11−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ401111-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-111-1-1-1-1-1111+i321+i321−i321−i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-111-11+i32−1−i321−i32−1+i321+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i32-1-11+i321+i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11+i321−i321−1−i32−1+i321-1−1−i321+i32−1+i321−i32-111-11-11+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ411111-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-11-1-1-111-1-11−i321−i321+i321+i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-11-1−1+i321−i32−1−i321+i32−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i32-1-11−i321−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−1+i32−1−i32-11−i321+i321-1−1+i321−i32−1−i321+i321-11-11-1−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ421111-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-11-1-1-111-1-11−i321−i321+i321+i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-11-1−1+i321−i32−1−i321+i32−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i32-1-11−i321−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−1+i32−1−i32-11−i321+i321-1−1+i321−i32−1−i321+i32-11-11-111−i321+i32−1+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ431111-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-11-11-1-111-1-11−i321−i321+i321+i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11-11−1+i321−i32−1−i321+i321−i321+i32−1+i32−1−i321−i32−1+i321+i32−1−i32-1-11−i321−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11−i321+i321−1+i32−1−i32-111−i32−1+i321+i32−1−i32-111-1-111−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ441111-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-11-11-1-111-1-11−i321−i321+i321+i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11-11−1+i321−i32−1−i321+i321−i321+i32−1+i32−1−i321−i32−1+i321+i32−1−i32-1-11−i321−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11−i321+i321−1+i32−1−i32-111−i32−1+i321+i32−1−i321-1-111-1−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32
χ451111-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-111-1-11-1-1-1-1111−i321−i321+i321+i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-111−i32−1+i321+i32−1−i32−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i32-1-11−i321−i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−1+i32−1−i32-11−i321+i32-111−i32−1+i321+i32−1−i32-11-111-11−i321+i32−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32
χ461111-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-111-1-11-1-1-1-1111−i321−i321+i321+i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-111−i32−1+i321+i32−1−i32−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i32-1-11−i321−i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−1+i32−1−i32-11−i321+i32-111−i32−1+i321+i32−1−i321-11-1-11−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ471111-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-111-1-1-1-1-1111−i321−i321+i321+i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-111-11−i32−1+i321+i32−1−i321−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i32-1-11−i321−i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11−i321+i321−1+i32−1−i321-1−1+i321−i32−1−i321+i321-1-11-11−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ481111-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-111-1-1-1-1-1111−i321−i321+i321+i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-111-11−i32−1+i321+i32−1−i321−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i32-1-11−i321−i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11−i321+i321−1+i32−1−i321-1−1+i321−i32−1−i321+i32-111-11-11−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ492222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ5022222222222222222222-2-2-2-22222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000111111111111000000000000000000
χ51222222222222222222-2-222-2-222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1111111111111000000000000-1-1-1-1-1-1111111000000000000000000
χ52222222222222222222-2-2-2-22222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1111111111111000000000000111111-1-1-1-1-1-1000000000000000000
χ532222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3222222222222−1−i3−1−i3−1+i3−1+i3-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i322222−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32000000000000000000
χ542222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322-2-2-2-2222222−1−i3−1−i3−1+i3−1+i3-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-2-2-2-2−1−i3−1−i3−1+i3−1+i31+i31−i31+i31−i31+i31+i31−i31−i3-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i320000000000001−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32000000000000000000
χ552222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-222-2-222-2-2-2-2−1−i3−1−i3−1+i3−1+i3-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i3222-2-21+i31+i31−i31−i3−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32000000000000000000
χ562222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-2-2-22222-2-2-2-2−1−i3−1−i3−1+i3−1+i3-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-2-2221+i31+i31−i31−i31+i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i320000000000001−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32000000000000000000
χ572222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3222222222222−1+i3−1+i3−1−i3−1−i3-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i322222−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32000000000000000000
χ582222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322-2-2-2-2222222−1+i3−1+i3−1−i3−1−i3-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-2-2-2-2−1+i3−1+i3−1−i3−1−i31−i31+i31−i31+i31−i31−i31+i31+i3-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i320000000000001−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32000000000000000000
χ592222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2-222-2-222-2-2-2-2−1+i3−1+i3−1−i3−1−i3-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i3222-2-21−i31−i31+i31+i3−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32000000000000000000
χ602222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2-2-2-22222-2-2-2-2−1+i3−1+i3−1−i3−1−i3-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-2-2221−i31−i31+i31+i31−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i320000000000001−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32000000000000000000
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χ622222-2-22222222222222-2-22-22-2-222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-22-222-22-2-2-222-22-22111111-1-111-1-111-1-111000000000000111-1-1-11-11-11-1000000000000000000
χ632222-2-2222222222222-222-2-22-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12-2-22-22-2222-2-2-22-2211111111-1-111-1-111-1-1000000000000-1-1-11111-11-11-1000000000000000000
χ642222-2-2222222222222-22-222-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-222-2-22-22-2-2222-22-211111111-1-111-1-111-1-1000000000000111-1-1-1-11-11-11000000000000000000
χ652222-2-22222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32-22-22-2-2-222-2-21+i31+i31−i31−i3-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i322-22-2−1−i31+i3−1+i31−i3−1−i3−1+i31+i31−i3−1−i31+i3−1+i31−i311−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32000000000000-11+i321−i321−1−i32−1+i32-111+i32−1−i321−i32−1+i32000000000000000000
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χ672222-2-22222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-222-2-22-2-2-2-2221+i31+i31−i31−i3-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i322-2-221+i3−1−i31−i3−1+i3−1−i3−1+i31+i31−i31+i3−1−i31−i3−1+i311−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32000000000000-11+i321−i321−1−i32−1+i321-1−1−i321+i32−1+i321−i32000000000000000000
χ682222-2-22222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-22-222-2-2-2-2-2221+i31+i31−i31−i3-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-222-21+i3−1−i31−i3−1+i31+i31−i3−1−i3−1+i3−1−i31+i3−1+i31−i311−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i320000000000001−1−i32−1+i32-11+i321−i32-111+i32−1−i321−i32−1+i32000000000000000000
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χ702222-2-22222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32-2-22-22-2-222-2-21−i31−i31+i31+i3-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-22-22−1+i31−i3−1−i31+i31−i31+i3−1+i3−1−i31−i3−1+i31+i3−1−i311−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i320000000000001−1+i32−1−i32-11−i321+i321-1−1+i321−i32−1−i321+i32000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.