Finite Group Databasebeta

← Group #72277443

Character table — Group #72277443

Order 2688.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118
size11112222224444666677777777888812121212121214141414141414141414141424242424242424242424242428282828282828282828282828282828282828282828282828282828282828282828282828282828282828285656565656565656565656565656
order124422244422447142828336612121212444414141428282866666612121212121214142828282828282828282822222244444466666666666666661212121212121212121212121212121244121212121212121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ5111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−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−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ6111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i32-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i32
χ7111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111-1-1-1-1-1-1-1-11111-1-11111-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i32-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i32
χ8111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ9111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+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+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ10111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i32-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i32
χ11111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111-1-1-1-1-1-1-1-11111-1-11111-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i32-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i32
χ12111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ131111111111-1-1-1-111111111111111-1-1111111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-1-1-1
χ141111111111-1-1-1-111111111111111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-11111
χ151111111111-1-1-1-1111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1111111
χ161111111111-1-1-1-1111111111111-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-1
χ171111111111-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-11111-1-1-1-111-1-11111-1-1111+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i32
χ181111111111-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-11+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i3211−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ191111111111-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i32111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ201111111111-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11111-1-11111-1-111111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i32
χ211111111111-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-11111-1-1-1-111-1-11111-1-1111−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i32
χ221111111111-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-11−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i3211−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ231111111111-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i32111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ241111111111-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11111-1-11111-1-111111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i32
χ2511-1-1111-1-1-11-11-111-1-11111-1-1-1-11-11-1111-1-1-1111111-1-1-1-1-1-11-11-111-1-111-1-11-11-1111-11-1-1-11-11-11-11-11-11-111111-11-11-11-11-11-1-1-1-1-11-11-11-11-11-11-11-1
χ2611-1-1111-1-1-11-11-111-1-11111-1-1-1-11-11-1111-1-1-1111111-1-1-1-1-1-11-11-111-1-111-1-1-11-11-1-1-11-11111-11-1-11-11-11-11-1-1-1-11-11-1-11-11-11-111111-111-11-11-11-1-11-11
χ2711-1-1111-1-1-11-11-111-1-11111-1-1-1-1-11-11111-1-1-1111111-1-1-1-1-1-11-11-1-1-111-1-1111-11-1-1-11-11-1111-11-11-11-11-11-1-1-1-1-11-11-11-11-11-11-11111-11-11-11-11-11-11-11
χ2811-1-1111-1-1-11-11-111-1-11111-1-1-1-1-11-11111-1-1-1111111-1-1-1-1-1-11-11-1-1-111-1-111-11-1111-11-11-1-11-11-1-11-11-11-1111111-11-1-11-11-11-11-1-1-1-11-1-11-11-11-111-11-1
χ2911-1-1111-1-1-11-11-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-11-1111-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321-11-111-1-111-1-11-11-1111-11-1-1-1−1−i321+i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i321+i321−i321−i321-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1+i321−i32
χ3011-1-1111-1-1-11-11-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-11-1111-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321-11-111-1-111-1-1-11-11-1-1-11-1111−1−i321+i32−1+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321+i321+i321−i321−i32−1−i321+i32−1+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i32−1−i321−i32−1+i32
χ3111-1-1111-1-1-11-11-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-11111-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321-11-1-1-111-1-1111-11-1-1-11-11-111−1−i321+i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i321+i321−i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1+i32−1+i32-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321+i32−1−i321−i32−1+i32
χ3211-1-1111-1-1-11-11-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-11111-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321-11-1-1-111-1-111-11-1111-11-11-1-1−1−i321+i32−1+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i321+i32−1+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321+i321+i321−i321−i321-11+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32−1−i321+i32−1+i321−i32
χ3311-1-1111-1-1-11-11-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-11-1111-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321-11-111-1-111-1-11-11-1111-11-1-1-1−1+i321−i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i321−i321+i321+i321-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1−i321+i32
χ3411-1-1111-1-1-11-11-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-11-1111-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321-11-111-1-111-1-1-11-11-1-1-11-1111−1+i321−i32−1−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321−i321−i321+i321+i32−1+i321−i32−1−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i32−1+i321+i32−1−i32
χ3511-1-1111-1-1-11-11-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-11111-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321-11-1-1-111-1-1111-11-1-1-11-11-111−1+i321−i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i321−i321+i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1−i32−1−i32-111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321−i32−1+i321+i32−1−i32
χ3611-1-1111-1-1-11-11-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-11111-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321-11-1-1-111-1-111-11-1111-11-11-1-1−1+i321−i32−1−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i321−i32−1−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321−i321−i321+i321+i321-11−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32−1+i321−i32−1−i321+i32
χ3711-1-1111-1-1-1-11-1111-1-11111-1-1-1-11-1-11111-1-1-1111111-1-1-1-1-1-1-11-1111-1-1-1-1111-1-11111-1-11-1-1-11-111-1-111-1-111111-11-111-1-111-1-11-1-1-1-1-111-1-111-1-11-11-11
χ3811-1-1111-1-1-1-11-1111-1-11111-1-1-1-11-1-11111-1-1-1111111-1-1-1-1-1-1-11-1111-1-1-1-111-111-1-1-1-111-111-11-11-111-1-111-1-1-1-1-1-11-11-111-1-111-111111-11-1-111-1-111-11-1
χ3911-1-1111-1-1-1-11-1111-1-11111-1-1-1-1-111-1111-1-1-1111111-1-1-1-1-1-1-11-11-1-11111-1-11-1-11-1-11-1-1111-11-111-1-111-1-11-1-1-1-1-11-111-1-111-1-1111111-1-111-1-111-11-11-1
χ4011-1-1111-1-1-1-11-1111-1-11111-1-1-1-1-111-1111-1-1-1111111-1-1-1-1-1-1-11-11-1-11111-1-1-111-111-111-1-1-1-11-11-111-1-111-11111-11-11-111-1-111-1-1-1-1-1-11-111-1-111-1-11-11
χ4111-1-1111-1-1-1-11-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-11111-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32-11-1111-1-1-1-1111-1-11111-1-11-1-11+i32−1−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i321+i321−i321−i32-11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ4211-1-1111-1-1-1-11-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-11111-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32-11-1111-1-1-1-111-111-1-1-1-111-1111+i32−1−i321−i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321+i321+i321−i321−i321+i32−1−i321−i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1+i32−1+i321-1−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i32−1+i321−i32
χ4311-1-1111-1-1-1-11-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-1111-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32-11-11-1-11111-1-11-1-11-1-11-1-11111+i32−1−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i321+i321−i321−i321+i32−1−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ4411-1-1111-1-1-1-11-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-1111-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32-11-11-1-11111-1-1-111-111-111-1-1-11+i32−1−i321−i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1+i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321+i321+i321−i321−i32-111+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ4511-1-1111-1-1-1-11-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-11111-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32-11-1111-1-1-1-1111-1-11111-1-11-1-11−i32−1+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i321−i321+i321+i32-11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ4611-1-1111-1-1-1-11-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-11111-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32-11-1111-1-1-1-111-111-1-1-1-111-1111−i32−1+i321+i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i321−i321−i321+i321+i321−i32−1+i321+i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1−i32−1−i321-1−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i32−1−i321+i32
χ4711-1-1111-1-1-1-11-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-1111-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32-11-11-1-11111-1-11-1-11-1-11-1-11111−i32−1+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i321−i321+i321+i321−i32−1+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ4811-1-1111-1-1-1-11-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-1111-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32-11-11-1-11111-1-1-111-111-111-1-1-11−i32−1+i321+i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1−i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i321−i321−i321+i321+i32-111−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i321−i32−1+i321+i32−1−i32
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χ5022222-2-22-2-200002222222222220000-22-22-2-22-2-22-2-22-2-22-2-2000000000000-2200002-200000000-2200-2200000000002-2002-200000000000000000000
χ5122222-2-22-2-200002222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i30000-22-22-2-2−1−i31+i31+i3−1+i31−i31−i3−1−i31+i31+i3−1+i31−i31−i30000000000002-20000-2200000000−1−i31+i300−1+i31−i300000000001+i3−1−i3001−i3−1+i300000000000000000000
χ5222222-2-22-2-200002222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i30000-22-22-2-2−1−i31+i31+i3−1+i31−i31−i3−1−i31+i31+i3−1+i31−i31−i3000000000000-2200002-2000000001+i3−1−i3001−i3−1+i30000000000−1−i31+i300−1+i31−i300000000000000000000
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χ552222-22-2-22-200002222222222220000-2-22-22-2-22-2-22-2-22-2-22-2000000000000002-20000-22000000002-2002-20000000000-2200-22000000000000000000
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χ612222-2-22-2-222-2-2222222222222200002-2-2-2-22-2-22-2-22-2-22-2-222-2-22000000000000000000002-22-2000000000000-22-2200000000000000000000000000
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χ632222-2-22-2-222-2-222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i300002-2-2-2-221−i31−i3−1+i31+i31+i3−1−i31−i31−i3−1+i31+i31+i3−1−i32-2-2200000000000000000000−1+i31−i3−1−i31+i30000000000001−i3−1+i31+i3−1−i300000000000000000000000000
χ642222-2-22-2-22-222-222222222222200002-2-2-2-22-2-22-2-22-2-22-2-22-222-200000000000000000000-22-220000000000002-22-200000000000000000000000000
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χ6822-2-22-2-2-222000022-2-22222-2-2-2-20000-22-2-2222-2-22-2-2-222-222000000000000-2-200002200000000-2-200-2-2000000000022002200000000000000000000
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Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.