Finite Group Databasebeta

← Group #5841

Character table — Group #5841

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
order142444442424444431261212121212612612121212123126121212121261261212121212242444442424444461261212121212612612121212126126121212121261261212121212242444442424444461261212121212612612121212126126121212121261261212121212242444442424444461261212121212612612121212126126121212121261261212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i
χ31-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-1
χ41−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i
χ51111iiii-1-1-1-1−i−i−i−i1111iiii-1-1-1-1−i−i−i−i1111iiii-1-1-1-1−i−i−i−i1111iiii-1-1-1-1−i−i−i−i1111iiii-1-1-1-1−i−i−i−i1111iiii-1-1-1-1−i−i−i−i1111iiii-1-1-1-1−i−i−i−i1111iiii-1-1-1-1−i−i−i−i1111iiii-1-1-1-1−i−i−i−i1111iiii-1-1-1-1−i−i−i−i1111iiii-1-1-1-1−i−i−i−i1111iiii-1-1-1-1−i−i−i−i
χ61i-1−ii-1−i1-1−i1i−i1i-11i-1−ii-1−i1-1−i1i−i1i-11i-1−ii-1−i1-1−i1i−i1i-11i-1−ii-1−i1-1−i1i−i1i-11i-1−ii-1−i1-1−i1i−i1i-11i-1−ii-1−i1-1−i1i−i1i-11i-1−ii-1−i1-1−i1i−i1i-11i-1−ii-1−i1-1−i1i−i1i-11i-1−ii-1−i1-1−i1i−i1i-11i-1−ii-1−i1-1−i1i−i1i-11i-1−ii-1−i1-1−i1i−i1i-11i-1−ii-1−i1-1−i1i−i1i-1
χ71-11-1i−ii−i-11-11−ii−ii1-11-1i−ii−i-11-11−ii−ii1-11-1i−ii−i-11-11−ii−ii1-11-1i−ii−i-11-11−ii−ii1-11-1i−ii−i-11-11−ii−ii1-11-1i−ii−i-11-11−ii−ii1-11-1i−ii−i-11-11−ii−ii1-11-1i−ii−i-11-11−ii−ii1-11-1i−ii−i-11-11−ii−ii1-11-1i−ii−i-11-11−ii−ii1-11-1i−ii−i-11-11−ii−ii1-11-1i−ii−i-11-11−ii−ii
χ81−i-1ii1−i-1-1i1−i−i-1i11−i-1ii1−i-1-1i1−i−i-1i11−i-1ii1−i-1-1i1−i−i-1i11−i-1ii1−i-1-1i1−i−i-1i11−i-1ii1−i-1-1i1−i−i-1i11−i-1ii1−i-1-1i1−i−i-1i11−i-1ii1−i-1-1i1−i−i-1i11−i-1ii1−i-1-1i1−i−i-1i11−i-1ii1−i-1-1i1−i−i-1i11−i-1ii1−i-1-1i1−i−i-1i11−i-1ii1−i-1-1i1−i−i-1i11−i-1ii1−i-1-1i1−i−i-1i1
χ91111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ101i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i
χ111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-11
χ121−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i
χ131111−i−i−i−i-1-1-1-1iiii1111−i−i−i−i-1-1-1-1iiii1111−i−i−i−i-1-1-1-1iiii1111−i−i−i−i-1-1-1-1iiii1111−i−i−i−i-1-1-1-1iiii1111−i−i−i−i-1-1-1-1iiii1111−i−i−i−i-1-1-1-1iiii1111−i−i−i−i-1-1-1-1iiii1111−i−i−i−i-1-1-1-1iiii1111−i−i−i−i-1-1-1-1iiii1111−i−i−i−i-1-1-1-1iiii1111−i−i−i−i-1-1-1-1iiii
χ141i-1−i−i1i-1-1−i1ii-1−i11i-1−i−i1i-1-1−i1ii-1−i11i-1−i−i1i-1-1−i1ii-1−i11i-1−i−i1i-1-1−i1ii-1−i11i-1−i−i1i-1-1−i1ii-1−i11i-1−i−i1i-1-1−i1ii-1−i11i-1−i−i1i-1-1−i1ii-1−i11i-1−i−i1i-1-1−i1ii-1−i11i-1−i−i1i-1-1−i1ii-1−i11i-1−i−i1i-1-1−i1ii-1−i11i-1−i−i1i-1-1−i1ii-1−i11i-1−i−i1i-1-1−i1ii-1−i1
χ151-11-1−ii−ii-11-11i−ii−i1-11-1−ii−ii-11-11i−ii−i1-11-1−ii−ii-11-11i−ii−i1-11-1−ii−ii-11-11i−ii−i1-11-1−ii−ii-11-11i−ii−i1-11-1−ii−ii-11-11i−ii−i1-11-1−ii−ii-11-11i−ii−i1-11-1−ii−ii-11-11i−ii−i1-11-1−ii−ii-11-11i−ii−i1-11-1−ii−ii-11-11i−ii−i1-11-1−ii−ii-11-11i−ii−i1-11-1−ii−ii-11-11i−ii−i
χ161−i-1i−i-1i1-1i1−ii1−i-11−i-1i−i-1i1-1i1−ii1−i-11−i-1i−i-1i1-1i1−ii1−i-11−i-1i−i-1i1-1i1−ii1−i-11−i-1i−i-1i1-1i1−ii1−i-11−i-1i−i-1i1-1i1−ii1−i-11−i-1i−i-1i1-1i1−ii1−i-11−i-1i−i-1i1-1i1−ii1−i-11−i-1i−i-1i1-1i1−ii1−i-11−i-1i−i-1i1-1i1−ii1−i-11−i-1i−i-1i1-1i1−ii1−i-11−i-1i−i-1i1-1i1−ii1−i-1
χ171111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ181i-1−i1i-1−i1i-1−i1i-1−i−1+i32ζ71−i32−ζ7−1+i32ζ71−i32−ζ7−1+i32ζ71−i32−ζ7−1+i32ζ71−i32−ζ7−1−i32ζ111+i32−ζ11−1−i32ζ111+i32−ζ11−1−i32ζ111+i32−ζ11−1−i32ζ111+i32−ζ111i-1−i1i-1−i1i-1−i1i-1−i−1+i32ζ71−i32−ζ7−1+i32ζ71−i32−ζ7−1+i32ζ71−i32−ζ7−1+i32ζ71−i32−ζ7−1−i32ζ111+i32−ζ11−1−i32ζ111+i32−ζ11−1−i32ζ111+i32−ζ11−1−i32ζ111+i32−ζ111i-1−i1i-1−i1i-1−i1i-1−i−1+i32ζ71−i32−ζ7−1+i32ζ71−i32−ζ7−1+i32ζ71−i32−ζ7−1+i32ζ71−i32−ζ7−1−i32ζ111+i32−ζ11−1−i32ζ111+i32−ζ11−1−i32ζ111+i32−ζ11−1−i32ζ111+i32−ζ111i-1−i1i-1−i1i-1−i1i-1−i−1+i32ζ71−i32−ζ7−1+i32ζ71−i32−ζ7−1+i32ζ71−i32−ζ7−1+i32ζ71−i32−ζ7−1−i32ζ111+i32−ζ11−1−i32ζ111+i32−ζ11−1−i32ζ111+i32−ζ11−1−i32ζ111+i32−ζ11
χ191-11-11-11-11-11-11-11-1−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321-11-11-11-11-11-11-11-1−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321-11-11-11-11-11-11-11-1−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321-11-11-11-11-11-11-11-1−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ201−i-1i1−i-1i1−i-1i1−i-1i−1+i32−ζ71−i32ζ7−1+i32−ζ71−i32ζ7−1+i32−ζ71−i32ζ7−1+i32−ζ71−i32ζ7−1−i32−ζ111+i32ζ11−1−i32−ζ111+i32ζ11−1−i32−ζ111+i32ζ11−1−i32−ζ111+i32ζ111−i-1i1−i-1i1−i-1i1−i-1i−1+i32−ζ71−i32ζ7−1+i32−ζ71−i32ζ7−1+i32−ζ71−i32ζ7−1+i32−ζ71−i32ζ7−1−i32−ζ111+i32ζ11−1−i32−ζ111+i32ζ11−1−i32−ζ111+i32ζ11−1−i32−ζ111+i32ζ111−i-1i1−i-1i1−i-1i1−i-1i−1+i32−ζ71−i32ζ7−1+i32−ζ71−i32ζ7−1+i32−ζ71−i32ζ7−1+i32−ζ71−i32ζ7−1−i32−ζ111+i32ζ11−1−i32−ζ111+i32ζ11−1−i32−ζ111+i32ζ11−1−i32−ζ111+i32ζ111−i-1i1−i-1i1−i-1i1−i-1i−1+i32−ζ71−i32ζ7−1+i32−ζ71−i32ζ7−1+i32−ζ71−i32ζ7−1+i32−ζ71−i32ζ7−1−i32−ζ111+i32ζ11−1−i32−ζ111+i32ζ11−1−i32−ζ111+i32ζ11−1−i32−ζ111+i32ζ11
χ211111iiii-1-1-1-1−i−i−i−i−1+i32−1+i32−1+i32−1+i32ζ7ζ7ζ7ζ71−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32ζ11ζ11ζ11ζ111+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ111111iiii-1-1-1-1−i−i−i−i−1+i32−1+i32−1+i32−1+i32ζ7ζ7ζ7ζ71−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32ζ11ζ11ζ11ζ111+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ111111iiii-1-1-1-1−i−i−i−i−1+i32−1+i32−1+i32−1+i32ζ7ζ7ζ7ζ71−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32ζ11ζ11ζ11ζ111+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ111111iiii-1-1-1-1−i−i−i−i−1+i32−1+i32−1+i32−1+i32ζ7ζ7ζ7ζ71−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32ζ11ζ11ζ11ζ111+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ11
χ221i-1−ii-1−i1-1−i1i−i1i-1−1+i32ζ71−i32−ζ7ζ71−i32−ζ7−1+i321−i32−ζ7−1+i32ζ7−ζ7−1+i32ζ71−i32−1−i32ζ111+i32−ζ11ζ111+i32−ζ11−1−i321+i32−ζ11−1−i32ζ11−ζ11−1−i32ζ111+i321i-1−ii-1−i1-1−i1i−i1i-1−1+i32ζ71−i32−ζ7ζ71−i32−ζ7−1+i321−i32−ζ7−1+i32ζ7−ζ7−1+i32ζ71−i32−1−i32ζ111+i32−ζ11ζ111+i32−ζ11−1−i321+i32−ζ11−1−i32ζ11−ζ11−1−i32ζ111+i321i-1−ii-1−i1-1−i1i−i1i-1−1+i32ζ71−i32−ζ7ζ71−i32−ζ7−1+i321−i32−ζ7−1+i32ζ7−ζ7−1+i32ζ71−i32−1−i32ζ111+i32−ζ11ζ111+i32−ζ11−1−i321+i32−ζ11−1−i32ζ11−ζ11−1−i32ζ111+i321i-1−ii-1−i1-1−i1i−i1i-1−1+i32ζ71−i32−ζ7ζ71−i32−ζ7−1+i321−i32−ζ7−1+i32ζ7−ζ7−1+i32ζ71−i32−1−i32ζ111+i32−ζ11ζ111+i32−ζ11−1−i321+i32−ζ11−1−i32ζ11−ζ11−1−i32ζ111+i32
χ231-11-1i−ii−i-11-11−ii−ii−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ111-11-1i−ii−i-11-11−ii−ii−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ111-11-1i−ii−i-11-11−ii−ii−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ111-11-1i−ii−i-11-11−ii−ii−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11
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χ1131111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−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+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−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+i32
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χ1291111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+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−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+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−i32
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χ1821i-1−ii-1−i1-1−i1i−i1i-1−1−i32ζ111+i32−ζ11ζ111+i32−ζ11−1−i321+i32−ζ11−1−i32ζ11−ζ11−1−i32ζ111+i32−1+i32ζ71−i32−ζ7ζ71−i32−ζ7−1+i321−i32−ζ7−1+i32ζ7−ζ7−1+i32ζ71−i32-1−i1i−i1i-11i-1−ii-1−i11+i32−ζ11−1−i32ζ11−ζ11−1−i32ζ111+i32−1−i32ζ111+i32−ζ11ζ111+i32−ζ11−1−i321−i32−ζ7−1+i32ζ7−ζ7−1+i32ζ71−i32−1+i32ζ71−i32−ζ7ζ71−i32−ζ7−1+i32-1−i1i−i1i-11i-1−ii-1−i11+i32−ζ11−1−i32ζ11−ζ11−1−i32ζ111+i32−1−i32ζ111+i32−ζ11ζ111+i32−ζ11−1−i321−i32−ζ7−1+i32ζ7−ζ7−1+i32ζ71−i32−1+i32ζ71−i32−ζ7ζ71−i32−ζ7−1+i321i-1−ii-1−i1-1−i1i−i1i-1−1−i32ζ111+i32−ζ11ζ111+i32−ζ11−1−i321+i32−ζ11−1−i32ζ11−ζ11−1−i32ζ111+i32−1+i32ζ71−i32−ζ7ζ71−i32−ζ7−1+i321−i32−ζ7−1+i32ζ7−ζ7−1+i32ζ71−i32
χ1831-11-1i−ii−i-11-11−ii−ii−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7-11-11−ii−ii1-11-1i−ii−i1+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ111−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7-11-11−ii−ii1-11-1i−ii−i1+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ111−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ71-11-1i−ii−i-11-11−ii−ii−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7
χ1841−i-1ii1−i-1-1i1−i−i-1i1−1−i32−ζ111+i32ζ11ζ11−1−i32−ζ111+i321+i32ζ11−1−i32−ζ11−ζ111+i32ζ11−1−i32−1+i32−ζ71−i32ζ7ζ7−1+i32−ζ71−i321−i32ζ7−1+i32−ζ7−ζ71−i32ζ7−1+i32-1i1−i−i-1i11−i-1ii1−i-11+i32ζ11−1−i32−ζ11−ζ111+i32ζ11−1−i32−1−i32−ζ111+i32ζ11ζ11−1−i32−ζ111+i321−i32ζ7−1+i32−ζ7−ζ71−i32ζ7−1+i32−1+i32−ζ71−i32ζ7ζ7−1+i32−ζ71−i32-1i1−i−i-1i11−i-1ii1−i-11+i32ζ11−1−i32−ζ11−ζ111+i32ζ11−1−i32−1−i32−ζ111+i32ζ11ζ11−1−i32−ζ111+i321−i32ζ7−1+i32−ζ7−ζ71−i32ζ7−1+i32−1+i32−ζ71−i32ζ7ζ7−1+i32−ζ71−i321−i-1ii1−i-1-1i1−i−i-1i1−1−i32−ζ111+i32ζ11ζ11−1−i32−ζ111+i321+i32ζ11−1−i32−ζ11−ζ111+i32ζ11−1−i32−1+i32−ζ71−i32ζ7ζ7−1+i32−ζ71−i321−i32ζ7−1+i32−ζ7−ζ71−i32ζ7−1+i32
χ1851111-1-1-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-11111-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11111-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321111-1-1-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ1861i-1−i-1−i1i1i-1−i-1−i1i−1−i32ζ111+i32−ζ111+i32−ζ11−1−i32ζ11−1−i32ζ111+i32−ζ111+i32−ζ11−1−i32ζ11−1+i32ζ71−i32−ζ71−i32−ζ7−1+i32ζ7−1+i32ζ71−i32−ζ71−i32−ζ7−1+i32ζ7-1−i1i1i-1−i-1−i1i1i-1−i1+i32−ζ11−1−i32ζ11−1−i32ζ111+i32−ζ111+i32−ζ11−1−i32ζ11−1−i32ζ111+i32−ζ111−i32−ζ7−1+i32ζ7−1+i32ζ71−i32−ζ71−i32−ζ7−1+i32ζ7−1+i32ζ71−i32−ζ7-1−i1i1i-1−i-1−i1i1i-1−i1+i32−ζ11−1−i32ζ11−1−i32ζ111+i32−ζ111+i32−ζ11−1−i32ζ11−1−i32ζ111+i32−ζ111−i32−ζ7−1+i32ζ7−1+i32ζ71−i32−ζ71−i32−ζ7−1+i32ζ7−1+i32ζ71−i32−ζ71i-1−i-1−i1i1i-1−i-1−i1i−1−i32ζ111+i32−ζ111+i32−ζ11−1−i32ζ11−1−i32ζ111+i32−ζ111+i32−ζ11−1−i32ζ11−1+i32ζ71−i32−ζ71−i32−ζ7−1+i32ζ7−1+i32ζ71−i32−ζ71−i32−ζ7−1+i32ζ7
χ1871-11-1-11-111-11-1-11-11−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32-11-111-11-1-11-111-11-11+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32-11-111-11-1-11-111-11-11+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321-11-1-11-111-11-1-11-11−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32
χ1881−i-1i-1i1−i1−i-1i-1i1−i−1−i32−ζ111+i32ζ111+i32ζ11−1−i32−ζ11−1−i32−ζ111+i32ζ111+i32ζ11−1−i32−ζ11−1+i32−ζ71−i32ζ71−i32ζ7−1+i32−ζ7−1+i32−ζ71−i32ζ71−i32ζ7−1+i32−ζ7-1i1−i1−i-1i-1i1−i1−i-1i1+i32ζ11−1−i32−ζ11−1−i32−ζ111+i32ζ111+i32ζ11−1−i32−ζ11−1−i32−ζ111+i32ζ111−i32ζ7−1+i32−ζ7−1+i32−ζ71−i32ζ71−i32ζ7−1+i32−ζ7−1+i32−ζ71−i32ζ7-1i1−i1−i-1i-1i1−i1−i-1i1+i32ζ11−1−i32−ζ11−1−i32−ζ111+i32ζ111+i32ζ11−1−i32−ζ11−1−i32−ζ111+i32ζ111−i32ζ7−1+i32−ζ7−1+i32−ζ71−i32ζ71−i32ζ7−1+i32−ζ7−1+i32−ζ71−i32ζ71−i-1i-1i1−i1−i-1i-1i1−i−1−i32−ζ111+i32ζ111+i32ζ11−1−i32−ζ11−1−i32−ζ111+i32ζ111+i32ζ11−1−i32−ζ11−1+i32−ζ71−i32ζ71−i32ζ7−1+i32−ζ7−1+i32−ζ71−i32ζ71−i32ζ7−1+i32−ζ7
χ1891111−i−i−i−i-1-1-1-1iiii−1−i32−1−i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ111+i321+i321+i321+i32ζ11ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ71−i321−i321−i321−i32ζ7ζ7ζ7ζ7-1-1-1-1iiii1111−i−i−i−i1+i321+i321+i321+i32ζ11ζ11ζ11ζ11−1−i32−1−i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ111−i321−i321−i321−i32ζ7ζ7ζ7ζ7−1+i32−1+i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ7-1-1-1-1iiii1111−i−i−i−i1+i321+i321+i321+i32ζ11ζ11ζ11ζ11−1−i32−1−i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ111−i321−i321−i321−i32ζ7ζ7ζ7ζ7−1+i32−1+i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ71111−i−i−i−i-1-1-1-1iiii−1−i32−1−i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ111+i321+i321+i321+i32ζ11ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ71−i321−i321−i321−i32ζ7ζ7ζ7ζ7
χ1901i-1−i−i1i-1-1−i1ii-1−i1−1−i32ζ111+i32−ζ11−ζ11−1−i32ζ111+i321+i32−ζ11−1−i32ζ11ζ111+i32−ζ11−1−i32−1+i32ζ71−i32−ζ7−ζ7−1+i32ζ71−i321−i32−ζ7−1+i32ζ7ζ71−i32−ζ7−1+i32-1−i1ii-1−i11i-1−i−i1i-11+i32−ζ11−1−i32ζ11ζ111+i32−ζ11−1−i32−1−i32ζ111+i32−ζ11−ζ11−1−i32ζ111+i321−i32−ζ7−1+i32ζ7ζ71−i32−ζ7−1+i32−1+i32ζ71−i32−ζ7−ζ7−1+i32ζ71−i32-1−i1ii-1−i11i-1−i−i1i-11+i32−ζ11−1−i32ζ11ζ111+i32−ζ11−1−i32−1−i32ζ111+i32−ζ11−ζ11−1−i32ζ111+i321−i32−ζ7−1+i32ζ7ζ71−i32−ζ7−1+i32−1+i32ζ71−i32−ζ7−ζ7−1+i32ζ71−i321i-1−i−i1i-1-1−i1ii-1−i1−1−i32ζ111+i32−ζ11−ζ11−1−i32ζ111+i321+i32−ζ11−1−i32ζ11ζ111+i32−ζ11−1−i32−1+i32ζ71−i32−ζ7−ζ7−1+i32ζ71−i321−i32−ζ7−1+i32ζ7ζ71−i32−ζ7−1+i32
χ1911-11-1−ii−ii-11-11i−ii−i−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7-11-11i−ii−i1-11-1−ii−ii1+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ111−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7-11-11i−ii−i1-11-1−ii−ii1+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ111−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ71-11-1−ii−ii-11-11i−ii−i−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7
χ1921−i-1i−i-1i1-1i1−ii1−i-1−1−i32−ζ111+i32ζ11−ζ111+i32ζ11−1−i321+i32ζ11−1−i32−ζ11ζ11−1−i32−ζ111+i32−1+i32−ζ71−i32ζ7−ζ71−i32ζ7−1+i321−i32ζ7−1+i32−ζ7ζ7−1+i32−ζ71−i32-1i1−ii1−i-11−i-1i−i-1i11+i32ζ11−1−i32−ζ11ζ11−1−i32−ζ111+i32−1−i32−ζ111+i32ζ11−ζ111+i32ζ11−1−i321−i32ζ7−1+i32−ζ7ζ7−1+i32−ζ71−i32−1+i32−ζ71−i32ζ7−ζ71−i32ζ7−1+i32-1i1−ii1−i-11−i-1i−i-1i11+i32ζ11−1−i32−ζ11ζ11−1−i32−ζ111+i32−1−i32−ζ111+i32ζ11−ζ111+i32ζ11−1−i321−i32ζ7−1+i32−ζ7ζ7−1+i32−ζ71−i32−1+i32−ζ71−i32ζ7−ζ71−i32ζ7−1+i321−i-1i−i-1i1-1i1−ii1−i-1−1−i32−ζ111+i32ζ11−ζ111+i32ζ11−1−i321+i32ζ11−1−i32−ζ11ζ11−1−i32−ζ111+i32−1+i32−ζ71−i32ζ7−ζ71−i32ζ7−1+i321−i32ζ7−1+i32−ζ7ζ7−1+i32−ζ71−i32

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.