Finite Group Databasebeta

← Group #72253023

Character table — Group #72253023

Order 15552.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174
size111111222222666666999912121212121212121212181818181818181818181818181818181818181818181824242424242424242424363636363636363636363636363636363636363636365454545472727272727272727272969696969696969696969696108108108108108108108108108108108108108108108108108108108108144144144144144144144144144144144144144144144216216216216216216216216216216216216288288288288288288288288432432432432432432
order123366333666441212121233669912121212121218182666666668812121212121212122424242499999181818181846666666669999121212121818181824242424991818363636363636999999181818181818266666666812122424242424242424363636363636363636363636363636727272727272727272727272999918181818363636363636
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111111111-1-1-1-11111111111-11111111111111-1-1111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ31111111111111111111111−1−i32−1+i32111111−1−i32−1+i3211111111111111111111111−1−i32−1+i32111111−1−i32−1+i321111111111−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i3211111111−1−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+i3211111111111111111111111−1−i32−1+i32−1−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+i32−1−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
χ41111111111111111111111−1−i32−1+i32111111−1−i32−1+i32111111111-1-111111111-1-1-1-1−1−i32−1+i32111111−1−i32−1+i32-1111111111−1−i32−1−i32−1+i32−1+i32-1-111−1−i32−1−i32−1+i32−1+i32-1-1-1-11111−1−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+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111+i321+i321+i321+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−i32
χ51111111111111111111111−1+i32−1−i32111111−1+i32−1−i3211111111111111111111111−1+i32−1−i32111111−1+i32−1−i321111111111−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i3211111111−1+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−i3211111111111111111111111−1+i32−1−i32−1+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−i32−1+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
χ61111111111111111111111−1+i32−1−i32111111−1+i32−1−i32111111111-1-111111111-1-1-1-1−1+i32−1−i32111111−1+i32−1−i32-1111111111−1+i32−1+i32−1−i32−1−i32-1-111−1+i32−1+i32−1−i32−1−i32-1-1-1-11111−1+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−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111−i321−i321−i321−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+i32
χ7111111111111111111−1−i32−1+i32−1−i32−1+i321111111111111−1−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+i32111111111111111111−1−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+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−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+i3211−1−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
χ8111111111111111111−1−i32−1+i32−1−i32−1+i321111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11111111111-1111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32111111111111-1-1-11+i321+i321+i321−i321−i321−i32-11+i321−i32-1-11+i321+i321+i321−i321−i321−i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321−i321+i321−i32
χ9111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32111−1−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+i321111−1−i32−1+i32111111−1−i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i3211−1−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+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−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+i3211−1+i32−1+i3211−1−i32−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32
χ10111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1−1−i32−1+i32111111−1−i32−1+i32-1111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32-1-1−1−i32−1+i32−1+i3211−1−i321+i321+i321−i321−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+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32-11+i321−i32-1-11+i321+i321+i321−i321−i321−i32111−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i32−1+i3211−1−i32−1+i3211−1−i321+i321−i321−i32-1-11+i32
χ11111111111111111111−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32111111−1+i32−1−i32111−1−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+i321111−1+i32−1−i32111111−1+i32−1−i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1+i321−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1−i321−1−i32−1+i321−1−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+i32111−1−i32−1+i3211−1−i32−1+i321−1+i32−1−i321−1−i32−1+i321
χ12111111111111111111−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32111111−1+i32−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1−1+i32−1−i32111111−1+i32−1−i32-1111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321-1-1−1−i32−1+i321−1−i32−1+i3211+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1+i321−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11+i321+i321+i321−i321−i321−i32-11+i321−i32-1-11+i321+i321+i321−i321−i321−i32111−1+i32−1−i321−1−i32−1+i321−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-11−1−i32−1+i3211−1−i32−1+i3211−i321+i32-11+i321−i32-1
χ13111111111111111111−1+i32−1−i32−1+i32−1−i321111111111111−1+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−i32111111111111111111−1+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−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+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−i3211−1+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
χ14111111111111111111−1+i32−1−i32−1+i32−1−i321111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11111111111-1111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32111111111111-1-1-11−i321−i321−i321+i321+i321+i32-11−i321+i32-1-11−i321−i321−i321+i321+i321+i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321+i321−i321+i32
χ15111111111111111111−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32111111−1−i32−1+i32111−1+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−i321111−1−i32−1+i32111111−1−i32−1+i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1−i321−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1+i321−1+i32−1−i321−1+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−i32111−1+i32−1−i3211−1+i32−1−i321−1−i32−1+i321−1+i32−1−i321
χ16111111111111111111−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32111111−1−i32−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1−1−i32−1+i32111111−1−i32−1+i32-1111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321-1-1−1+i32−1−i321−1+i32−1−i3211−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1−i321−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11−i321−i321−i321+i321+i321+i32-11−i321+i32-1-11−i321−i321−i321+i321+i321+i32111−1−i32−1+i321−1+i32−1−i321−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i32-1-11−i321−i321−i321−i321+i321+i32-1-11−1+i32−1−i3211−1+i32−1−i3211+i321−i32-11−i321+i32-1
χ17111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32111−1+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−i321111−1+i32−1−i32111111−1+i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i3211−1+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−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+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−i3211−1−i32−1−i3211−1+i32−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32
χ18111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1−1+i32−1−i32111111−1+i32−1−i32-1111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32-1-1−1+i32−1−i32−1−i3211−1+i321−i321−i321+i321+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−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32-11−i321+i32-1-11−i321−i321−i321+i321+i321+i32111−1+i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i32-1-11+i321+i32-1-11−i321−i32−1−i3211−1+i32−1−i3211−1+i321−i321+i321+i32-1-11−i32
χ19222222222222222222222222222222222222222220022222222000022-1-1-1-1-1-12202222222222222002222220000-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-1-1-1222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1000000
χ202222222222222222222222−1−i3−1+i3222222−1−i3−1+i322222222200222222220000−1−i3−1+i3-1-1-1-1-1-1−1−i3−1+i30222222222−1−i3−1−i3−1+i3−1+i30022−1−i3−1−i3−1+i3−1+i30000-1-1-1-1−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i3200000000000000000000-1-1-1−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-1-1-1-10000000000001+i321+i321−i321−i321+i321+i321−i321−i32000000
χ212222222222222222222222−1+i3−1−i3222222−1+i3−1−i322222222200222222220000−1+i3−1−i3-1-1-1-1-1-1−1+i3−1−i30222222222−1+i3−1+i3−1−i3−1−i30022−1+i3−1+i3−1−i3−1−i30000-1-1-1-1−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i3200000000000000000000-1-1-1−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-1-1-1-10000000000001−i321−i321+i321+i321−i321−i321+i321+i32000000
χ22222222222222222222−1−i3−1+i3−1−i3−1+i32222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1+i3000022-1-1-1-1-1-1220222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1+i3−1−i3−1+i300−1−i3−1+i3−1−i3−1+i3−1−i3−1+i300001+i321−i321+i321−i3222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-1-1-122−1−i3−1+i3−1−i3−1+i31+i321+i321+i321−i321−i321−i320000000000001+i321−i321+i321−i321+i321−i321+i321−i32000000
χ23222222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3222222−1−i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1+i30000−1−i3−1+i3-1-1-1-1-1-1−1−i3−1+i30222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i322−1−i300−1−i3−1+i3−1+i322−1−i300001+i321−i321+i321−i32−1−i3−1+i3−1+i322−1−i31+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i3200000000000000000000-1-1-1−1−i3−1+i3−1+i322−1−i31+i321+i321+i321−i321−i321−i320000000000001−i32-1-11+i321−i32-1-11+i32000000
χ24222222222222222222−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3222222−1+i3−1−i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1+i30000−1+i3−1−i3-1-1-1-1-1-1−1+i3−1−i30222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32−1−i3−1+i3200−1−i3−1+i32−1−i3−1+i3200001+i321−i321+i321−i32−1+i3−1−i32−1−i3−1+i321−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i3200000000000000000000-1-1-1−1+i3−1−i32−1−i3−1+i321+i321+i321+i321−i321−i321−i32000000000000-11+i321−i32-1-11+i321−i32-1000000
χ25222222222222222222−1+i3−1−i3−1+i3−1−i32222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i300−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1−i3000022-1-1-1-1-1-1220222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1−i3−1+i3−1−i300−1+i3−1−i3−1+i3−1−i3−1+i3−1−i300001−i321+i321−i321+i3222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-1-1-122−1+i3−1−i3−1+i3−1−i31−i321−i321−i321+i321+i321+i320000000000001−i321+i321−i321+i321−i321+i321−i321+i32000000
χ26222222222222222222−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3222222−1−i3−1+i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i300−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1−i30000−1−i3−1+i3-1-1-1-1-1-1−1−i3−1+i30222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32−1+i3−1−i3200−1+i3−1−i32−1+i3−1−i3200001−i321+i321−i321+i32−1−i3−1+i32−1+i3−1−i321+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i3200000000000000000000-1-1-1−1−i3−1+i32−1+i3−1−i321−i321−i321−i321+i321+i321+i32000000000000-11−i321+i32-1-11−i321+i32-1000000
χ27222222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3222222−1+i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i300−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1−i30000−1+i3−1−i3-1-1-1-1-1-1−1+i3−1−i30222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i322−1+i300−1+i3−1−i3−1−i322−1+i300001−i321+i321−i321+i32−1+i3−1−i3−1−i322−1+i31−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i3200000000000000000000-1-1-1−1+i3−1−i3−1−i322−1+i31−i321−i321−i321+i321+i321+i320000000000001+i32-1-11−i321+i32-1-11−i32000000
χ283333333333333-133-1-1333333333-1-1-133-1-1-1-1-1-1-1-1-111333333-1-111113300000033-1-1-1-1-1-1-1-1-1-13333-1-1-1-1333311110000-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-11-1-111111111000-1-1-1-1-1-100000011111111111100000000-1-1-1-1-1-1
χ293333333333333-133-1-1333333333-1-1-133-1-1-1-1-1-1-1-1-1-1-1333333-1-1-1-1-1-133000000331-1-1-1-1-1-1-1-1-1333311-1-13333-1-1-1-10000-1-1-1-1-1-1000000000000111111111-111-1-1-1-1-1-1-1-1000-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-100000000111111
χ303333333333333-133-1-13333−3−3i32−3+3i32333-1-1-1−3−3i32−3+3i32-1-1-1-1-1-1-1-1-111333333-1-11111−3−3i32−3+3i32000000−3−3i32−3+3i32-1-1-1-1-1-1-1-1-1-1−3−3i32−3−3i32−3+3i32−3+3i32-1-1-1-1−3−3i32−3−3i32−3+3i32−3+3i32111100001+i321−i321+i321+i321−i321−i32000000000000-1-1-1-1-1-1-1-1-11-1-1111111110001+i321−i321+i321+i321−i321−i32000000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000001+i321−i321+i321+i321−i321−i32
χ313333333333333-133-1-13333−3−3i32−3+3i32333-1-1-1−3−3i32−3+3i32-1-1-1-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1−3−3i32−3+3i32000000−3−3i32−3+3i321-1-1-1-1-1-1-1-1-1−3−3i32−3−3i32−3+3i32−3+3i3211-1-1−3−3i32−3−3i32−3+3i32−3+3i32-1-1-1-100001+i321−i321+i321+i321−i321−i32000000000000111111111-111-1-1-1-1-1-1-1-10001+i321−i321+i321+i321−i321−i320000001+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i3200000000−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ323333333333333-133-1-13333−3+3i32−3−3i32333-1-1-1−3+3i32−3−3i32-1-1-1-1-1-1-1-1-111333333-1-11111−3+3i32−3−3i32000000−3+3i32−3−3i32-1-1-1-1-1-1-1-1-1-1−3+3i32−3+3i32−3−3i32−3−3i32-1-1-1-1−3+3i32−3+3i32−3−3i32−3−3i32111100001−i321+i321−i321−i321+i321+i32000000000000-1-1-1-1-1-1-1-1-11-1-1111111110001−i321+i321−i321−i321+i321+i32000000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000001−i321+i321−i321−i321+i321+i32
χ333333333333333-133-1-13333−3+3i32−3−3i32333-1-1-1−3+3i32−3−3i32-1-1-1-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1−3+3i32−3−3i32000000−3+3i32−3−3i321-1-1-1-1-1-1-1-1-1−3+3i32−3+3i32−3−3i32−3−3i3211-1-1−3+3i32−3+3i32−3−3i32−3−3i32-1-1-1-100001−i321+i321−i321−i321+i321+i32000000000000111111111-111-1-1-1-1-1-1-1-10001−i321+i321−i321−i321+i321+i320000001−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i3200000000−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ343333333333333-133-1-1−3−3i32−3+3i32−3−3i32−3+3i3233333-1-1-133-1-1-11+i321+i321+i321−i321−i321−i3211−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i321+i321−i3211113300000033-1-1-1-11+i321+i321+i321−i321−i321−i32−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i32−3−3i32−3+3i32−3−3i32−3+3i32−1−i32−1−i32−1+i32−1+i320000-1-11+i321−i321+i321−i32000000000000-1-1-11+i321+i321+i321−i321−i321−i3211+i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000-1-11+i321−i321+i321−i3200000011−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3200000000-1-11+i321−i321+i321−i32
χ353333333333333-133-1-1−3−3i32−3+3i32−3−3i32−3+3i3233333-1-1-133-1-1-11+i321+i321+i321−i321−i321−i32-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i321+i321−i32-1-1-1-133000000331-1-1-11+i321+i321+i321−i321−i321−i32−3−3i32−3+3i32−3−3i32−3+3i32111+i321−i32−3−3i32−3+3i32−3−3i32−3+3i321+i321+i321−i321−i320000-1-11+i321−i321+i321−i32000000000000111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1−1−i32−1+i32-1-11+i321+i321+i321−i321−i321−i32000-1-11+i321−i321+i321−i32000000-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i320000000011−1−i32−1+i32−1−i32−1+i32
χ363333333333333-133-1-1−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32333-1-1-1−3−3i32−3+3i32-1-1-11+i321+i321+i321−i321−i321−i3211−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i321+i321−i321111−3−3i32−3+3i32000000−3−3i32−3+3i32-1-1-1-11+i321+i321+i321−i321−i321−i32−3+3i3233−3−3i32-1-11+i321−i32−3+3i3233−3−3i32−1−i32−1−i32−1+i32−1+i3200001+i321−i321−i32-1-11+i32000000000000-1-1-11+i321+i321+i321−i321−i321−i3211+i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i320001+i321−i321−i32-1-11+i32000000−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32000000001+i321−i321−i32-1-11+i32
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.