Finite Group Databasebeta

← Group #13164869

Character table — Group #13164869

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size11111111111133333333333333333333333333333333333333333333666666666666666666666666666666666666666666666666666666666666666666666666484848484848484848484848484848484848484848484848
order122233666666222266666666991818181818181818181818181818181818181818181818181818181818184444444412121212121212121212121212121212363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636336666669999181818181818181818181818
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+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
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−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
χ4111111111111111111111111−1+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−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−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−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
χ5111111111111111111111111−1+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−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−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−i32111111−1+i32−1+i32−1+i32
χ6111111111111111111111111−1+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−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−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+i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111
χ7111111111111111111111111−1−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+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+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+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
χ8111111111111111111111111−1−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+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+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−i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111
χ9111111111111111111111111−1−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+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+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+i32111111−1−i32−1−i32−1−i32
χ101-1-1111-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111111-1-11-1-11-1-11-1-1
χ111-1-1111-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i321−i321−i32−1+i321−i321−i32−1−i321+i321+i32−1−i321+i321+i32
χ121-1-1111-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i321+i321+i32−1−i321+i321+i32−1+i321−i321−i32−1+i321−i321−i32
χ131-1-1111-1-1-1-11111-1-11111-1-1-1-1−1+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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1−i321111-1-1-1-111111111-1-1-1-1-1-1-1-1−1+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−i321−i321−i321−i321−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+i321+i321+i321+i321+i321+i321+i321+i321+i32111-1-11-1-1−1+i32−1−i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32
χ141-1-1111-1-1-1-11111-1-11111-1-1-1-1−1+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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1−i321111-1-1-1-111111111-1-1-1-1-1-1-1-1−1+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−i321−i321−i321−i321−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+i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1−i3211−1+i32−1−i321+i321+i321-1-11-1-1−1+i321−i321−i32
χ151-1-1111-1-1-1-11111-1-11111-1-1-1-1−1+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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1−i321111-1-1-1-111111111-1-1-1-1-1-1-1-1−1+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−i321−i321−i321−i321−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+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321−1+i32−1−i3211-1-1−1+i321−i321−i32−1−i321+i321+i321-1-1
χ161-1-1111-1-1-1-11111-1-11111-1-1-1-1−1−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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1+i321111-1-1-1-111111111-1-1-1-1-1-1-1-1−1−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+i321+i321+i321+i321+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−i321−i321−i321−i321−i321−i321−i321−i321−i32111-1-11-1-1−1−i32−1+i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32
χ171-1-1111-1-1-1-11111-1-11111-1-1-1-1−1−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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1+i321111-1-1-1-111111111-1-1-1-1-1-1-1-1−1−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+i321+i321+i321+i321+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−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−1−i32−1+i3211-1-1−1−i321+i321+i32−1+i321−i321−i321-1-1
χ181-1-1111-1-1-1-11111-1-11111-1-1-1-1−1−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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1+i321111-1-1-1-111111111-1-1-1-1-1-1-1-1−1−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+i321+i321+i321+i321+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−i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1+i3211−1−i32−1+i321−i321−i321-1-11-1-1−1−i321+i321+i32
χ1922-2-22222-2-2-2-22-22-222-2-222-2-222222-2-2-22222-2-2-2-2222-2-2-22222-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000-1-111-111-1-1-1-1-111-111-111-111-1
χ2022-2-22222-2-2-2-22-22-222-2-222-2-222222-2-2-22222-2-2-2-2222-2-2-22222-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i321−i321−i321+i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ2122-2-22222-2-2-2-22-22-222-2-222-2-222222-2-2-22222-2-2-2-2222-2-2-22222-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321+i321+i321−i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ2222-2-22222-2-2-2-22-22-222-2-222-2-2−1+i3−1−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31−i31+i3000000000000000000000000000000000000000000000000000000000000000000000000-1-111-111-11−i321+i321−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32
χ2322-2-22222-2-2-2-22-22-222-2-222-2-2−1+i3−1−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31−i31+i30000000000000000000000000000000000000000000000000000000000000000000000001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32-1-11−i32−1−i32−1−i321+i3211-111-1−1+i32−1+i321−i32
χ2422-2-22222-2-2-2-22-22-222-2-222-2-2−1+i3−1−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31−i31+i30000000000000000000000000000000000000000000000000000000000000000000000001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32-11−i321+i32-111-1−1+i32−1+i321−i32−1−i32−1−i321+i3211-1
χ2522-2-22222-2-2-2-22-22-222-2-222-2-2−1−i3−1+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31+i31−i3000000000000000000000000000000000000000000000000000000000000000000000000-1-111-111-11+i321−i321+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32
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χ2722-2-22222-2-2-2-22-22-222-2-222-2-2−1−i3−1+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31+i31−i30000000000000000000000000000000000000000000000000000000000000000000000001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32-1-11+i32−1+i32−1+i321−i3211-111-1−1−i32−1−i321+i32
χ282-22-222-2-222-2-22-2-2222-2-2-2-22222222-2-2-2-2-2-2-22222222-2-2-2-2-2-2-22222-2-2000000000000000000000000000000000000000000000000000000000000000000000000-1-11-111-11-1-1-1-11-111-111-111-11
χ292-22-222-2-222-2-22-2-2222-2-2-2-22222222-2-2-2-2-2-2-22222222-2-2-2-2-2-2-22222-2-20000000000000000000000000000000000000000000000000000000000000000000000001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i321−i321−i321+i321+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1−i321+i32−1−i32
χ302-22-222-2-222-2-22-2-2222-2-2-2-22222222-2-2-2-2-2-2-22222222-2-2-2-2-2-2-22222-2-20000000000000000000000000000000000000000000000000000000000000000000000001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i321+i321+i321−i321−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1+i321−i32−1+i32
χ312-22-222-2-222-2-22-2-2222-2-2-2-222−1+i3−1−i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31−i31+i3000000000000000000000000000000000000000000000000000000000000000000000000-1-11-111-111−i321+i321−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i32
χ322-22-222-2-222-2-22-2-2222-2-2-2-222−1+i3−1−i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31−i31+i30000000000000000000000000000000000000000000000000000000000000000000000001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i321+i32-1-11−i32−1−i321+i32−1−i321-111-11−1+i321−i32−1+i32
χ332-22-222-2-222-2-22-2-2222-2-2-2-222−1+i3−1−i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31−i31+i30000000000000000000000000000000000000000000000000000000000000000000000001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32-11−i321+i32-11-11−1+i321−i32−1+i32−1−i321+i32−1−i321-11
χ342-22-222-2-222-2-22-2-2222-2-2-2-222−1−i3−1+i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31+i31−i3000000000000000000000000000000000000000000000000000000000000000000000000-1-11-111-111+i321−i321+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i32
χ352-22-222-2-222-2-22-2-2222-2-2-2-222−1−i3−1+i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31+i31−i30000000000000000000000000000000000000000000000000000000000000000000000001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32-11+i321−i32-11-11−1−i321+i32−1−i32−1+i321−i32−1+i321-11
χ362-22-222-2-222-2-22-2-2222-2-2-2-222−1−i3−1+i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31+i31−i30000000000000000000000000000000000000000000000000000000000000000000000001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i321−i32-1-11+i32−1+i321−i32−1+i321-111-11−1−i321+i32−1−i32
χ3733333333333333333333333333333333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ38333333333333333333333333−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000000000
χ39333333333333333333333333−3−3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000000000
χ40333333333333-1-1-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-13-1-1-13-1-1-1-1-1-1-1-1-13-1-1-13-1-1-1333-1-1-13-1-1-133-1-1-1-1-1-133-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1000000000000000000000000
χ41333333333333-1-1-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-13-1-1-13-1-1-1-1-1-1-1-1-13-1-1-13-1-1-133-13-1-1-13-1-1-1-133-1-1-1-1-1-133-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1000000000000000000000000
χ42333333333333-1-1-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-13-1-1-13-1-1-1-1-1-1-1-1-13-1-1-13-1-1-133-1-13-1-1-13-1-1-1-1-133-1-1-1-1-1-133-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1333-1-1-1000000000000000000000000
χ43333333333333-1-1-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-13-1-1-13-1-1-1-1-1-1-1-1-13-1-1-13-1-1-133-1-1-13-1-1-13-1-1-1-1-1-133-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1333000000000000000000000000
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χ45333333333333-1-1-1-1-1-1-1-1-1-1-1-1−3+3i32−3−3i321−i321−i321−i321−i321−i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i32−3+3i32−3−3i32-13-1-1-13-1-1-1-133-1-1-1-1-1-133-1-1-1-11−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32000000000000000000000000
χ46333333333333-1-1-1-1-1-1-1-1-1-1-1-1−3+3i32−3−3i321−i321−i321−i321−i321−i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i32−3+3i32−3−3i32-1-13-1-1-13-1-1-1-1-133-1-1-1-1-1-133-1-11−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i32000000000000000000000000
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χ48333333333333-1-1-1-1-1-1-1-1-1-1-1-1−3−3i32−3+3i321+i321+i321+i321+i321+i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i32−3−3i32−3+3i323-1-1-13-1-1-133-1-1-1-1-1-133-1-1-1-1-1-1−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000000000
χ49333333333333-1-1-1-1-1-1-1-1-1-1-1-1−3−3i32−3+3i321+i321+i321+i321+i321+i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i32−3−3i32−3+3i32-13-1-1-13-1-1-1-133-1-1-1-1-1-133-1-1-1-11+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32000000000000000000000000
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χ1283-3-33−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32002ζ82ζ52ζ22ζ82ζ52ζ20−2ζ8−2ζ5−2ζ20−2ζ8−2ζ5−2ζ22ζ72ζ42ζ2ζ72ζ42ζ0−2ζ7−2ζ4−2ζ0−2ζ7−2ζ4−2ζ00-13-1-11-3111+i321−i32−3−3i32−3+3i321+i321−i321+i321−i32−1−i32−1+i323+3i323−3i32−1−i32−1+i32−1−i32−1+i322ζ82ζ52ζ20002ζ22ζ82ζ52ζ52ζ22ζ8−2ζ8−2ζ5−2ζ2000−2ζ2−2ζ8−2ζ5−2ζ5−2ζ2−2ζ82ζ72ζ42ζ0002ζ42ζ2ζ72ζ2ζ72ζ4−2ζ7−2ζ4−2ζ000−2ζ4−2ζ−2ζ7−2ζ−2ζ7−2ζ4000000000000000000000000
χ1293-3-33−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32002ζ82ζ52ζ22ζ82ζ52ζ20−2ζ8−2ζ5−2ζ20−2ζ8−2ζ5−2ζ22ζ72ζ42ζ2ζ72ζ42ζ0−2ζ7−2ζ4−2ζ0−2ζ7−2ζ4−2ζ00-1-13-111-311+i321−i321+i321−i32−3−3i32−3+3i321+i321−i32−1−i32−1+i32−1−i32−1+i323+3i323−3i32−1−i32−1+i322ζ52ζ22ζ82ζ22ζ82ζ50002ζ82ζ52ζ2−2ζ5−2ζ2−2ζ8−2ζ2−2ζ8−2ζ5000−2ζ8−2ζ5−2ζ22ζ2ζ72ζ42ζ42ζ2ζ70002ζ72ζ42ζ−2ζ−2ζ7−2ζ4−2ζ4−2ζ−2ζ7000−2ζ7−2ζ4−2ζ000000000000000000000000
χ1303-3-33−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32002ζ82ζ52ζ22ζ82ζ52ζ20−2ζ8−2ζ5−2ζ20−2ζ8−2ζ5−2ζ22ζ72ζ42ζ2ζ72ζ42ζ0−2ζ7−2ζ4−2ζ0−2ζ7−2ζ4−2ζ00-1-1-13111-31+i321−i321+i321−i321+i321−i32−3−3i32−3+3i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i323+3i323−3i322ζ22ζ82ζ52ζ52ζ22ζ82ζ82ζ52ζ2000−2ζ2−2ζ8−2ζ5−2ζ5−2ζ2−2ζ8−2ζ8−2ζ5−2ζ20002ζ42ζ2ζ72ζ2ζ72ζ42ζ72ζ42ζ000−2ζ4−2ζ−2ζ7−2ζ−2ζ7−2ζ4−2ζ7−2ζ4−2ζ000000000000000000000000000
χ13166-6-66666-6-6-6-6-22-22-2-222-2-22266-2-2-22226-2-2-2-6222-2-2-22226-2-2-2-6222-6-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ13566-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3-22-221−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i3004ζ4ζ44ζ7−4ζ−4ζ4−4ζ704ζ4ζ44ζ70−4ζ−4ζ4−4ζ74ζ24ζ54ζ8−4ζ2−4ζ5−4ζ804ζ24ζ54ζ80−4ζ2−4ζ5−4ζ800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13666-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3-22-221−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i3004ζ44ζ74ζ−4ζ4−4ζ7−4ζ04ζ44ζ74ζ0−4ζ4−4ζ7−4ζ4ζ84ζ24ζ5−4ζ8−4ζ2−4ζ504ζ84ζ24ζ50−4ζ8−4ζ2−4ζ500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13766-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3-22-221−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i3004ζ74ζ4ζ4−4ζ7−4ζ−4ζ404ζ74ζ4ζ40−4ζ7−4ζ−4ζ44ζ54ζ84ζ2−4ζ5−4ζ8−4ζ204ζ54ζ84ζ20−4ζ5−4ζ8−4ζ200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13866-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i36-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13966-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3-22-221+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i3004ζ24ζ84ζ5−4ζ2−4ζ8−4ζ504ζ24ζ84ζ50−4ζ2−4ζ8−4ζ54ζ44ζ4ζ7−4ζ4−4ζ−4ζ704ζ44ζ4ζ70−4ζ4−4ζ−4ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14066-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3-22-221+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i3004ζ54ζ24ζ8−4ζ5−4ζ2−4ζ804ζ54ζ24ζ80−4ζ5−4ζ2−4ζ84ζ4ζ74ζ4−4ζ−4ζ7−4ζ404ζ4ζ74ζ40−4ζ−4ζ7−4ζ400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14166-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3-22-221+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i3004ζ84ζ54ζ2−4ζ8−4ζ5−4ζ204ζ84ζ54ζ20−4ζ8−4ζ5−4ζ24ζ74ζ44ζ−4ζ7−4ζ4−4ζ04ζ74ζ44ζ0−4ζ7−4ζ4−4ζ00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1426-66-666-6-666-6-6-222-2-2-22222-2-266-2-2-2222-62226-2-2-2-2-2-2222-62226-2-2-2-6-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1436-66-666-6-666-6-6-222-2-2-22222-2-2−3+3i3−3−3i31−i31−i31−i3−1+i3−1+i3−1+i33−3i3−1+i3−1+i3−1+i3−3+3i31−i31−i31−i31+i31+i31+i3−1−i3−1−i3−1−i33+3i3−1−i3−1−i3−1−i3−3−3i31+i31+i31+i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1446-66-666-6-666-6-6-222-2-2-22222-2-2−3−3i3−3+3i31+i31+i31+i3−1−i3−1−i3−1−i33+3i3−1−i3−1−i3−1−i3−3−3i31+i31+i31+i31−i31−i31−i3−1+i3−1+i3−1+i33−3i3−1+i3−1+i3−1+i3−3+3i31−i31−i31−i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1456-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i36-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1466-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3-222-21−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i3004ζ4ζ44ζ7−4ζ−4ζ4−4ζ70−4ζ−4ζ4−4ζ704ζ4ζ44ζ74ζ24ζ54ζ8−4ζ2−4ζ5−4ζ80−4ζ2−4ζ5−4ζ804ζ24ζ54ζ800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1476-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3-222-21−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i3004ζ44ζ74ζ−4ζ4−4ζ7−4ζ0−4ζ4−4ζ7−4ζ04ζ44ζ74ζ4ζ84ζ24ζ5−4ζ8−4ζ2−4ζ50−4ζ8−4ζ2−4ζ504ζ84ζ24ζ500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1486-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3-222-21−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i3004ζ74ζ4ζ4−4ζ7−4ζ−4ζ40−4ζ7−4ζ−4ζ404ζ74ζ4ζ44ζ54ζ84ζ2−4ζ5−4ζ8−4ζ20−4ζ5−4ζ8−4ζ204ζ54ζ84ζ200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1496-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i36-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1506-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3-222-21+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i3004ζ24ζ84ζ5−4ζ2−4ζ8−4ζ50−4ζ2−4ζ8−4ζ504ζ24ζ84ζ54ζ44ζ4ζ7−4ζ4−4ζ−4ζ70−4ζ4−4ζ−4ζ704ζ44ζ4ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1516-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3-222-21+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i3004ζ54ζ24ζ8−4ζ5−4ζ2−4ζ80−4ζ5−4ζ2−4ζ804ζ54ζ24ζ84ζ4ζ74ζ4−4ζ−4ζ7−4ζ40−4ζ−4ζ7−4ζ404ζ4ζ74ζ400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1526-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3-222-21+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i3004ζ84ζ54ζ2−4ζ8−4ζ5−4ζ20−4ζ8−4ζ5−4ζ204ζ84ζ54ζ24ζ74ζ44ζ−4ζ7−4ζ4−4ζ0−4ζ7−4ζ4−4ζ04ζ74ζ44ζ00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.