Finite Group Databasebeta

← Group #14323769

Character table — Group #14323769

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444101010101010101012121212121212122020202020202020202020202020202020202020242424242424242424242424242424246060606060606060
order12222222344445566666661010101010101010101010101010121212121212121222446666101010101010101012121212151520202020202020202020202020202020303030303030303030303030303030303030303030303030303030303030606060606060606060606060606060606060606060606060606060606060606044444444444444444444121212121212121212121212121212122020202020202020202020202020202044444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ11111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ12111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ13111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ14111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ15111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ16111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1711-111-1-1-1111-1-11111-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i1-11-11-11-1i−ii−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-111-1-1i−ii−ii−ii−i
χ1811-111-1-1-1111-1-11111-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i-11-11-11-11i−ii−iii−i−iii−i−iii−i−iii−i−i-1-111-1-111-1-111-1-111−ii−ii−ii−ii
χ1911-111-1-1-1111-1-11111-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii1-11-11-11-1−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-111-1-1−ii−ii−ii−ii
χ2011-111-1-1-1111-1-11111-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii-11-11-11-11−ii−ii−i−iii−i−iii−i−iii−i−iii-1-111-1-111-1-111-1-111i−ii−ii−ii−i
χ2111-111-1-1-1111-1-11111-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−iii−i−i1-11-1-11-11−ii−iiii−i−iii−i−i−i−iii−i−iii11-1-111-1-1-1-111-1-111i−ii−i−ii−ii
χ2211-111-1-1-1111-1-11111-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−iii−i−i-11-111-11-1−ii−iiii−i−iii−i−i−i−iii−i−iii-1-111-1-11111-1-111-1-1−ii−iii−ii−i
χ2311-111-1-1-1111-1-11111-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii−i−iii1-11-1-11-11i−ii−i−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1-1-111-1-111−ii−iii−ii−i
χ2411-111-1-1-1111-1-11111-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii−i−iii-11-111-11-1i−ii−i−i−iii−i−iiiii−i−iii−i−i-1-111-1-11111-1-111-1-1i−ii−i−ii−ii
χ2511-111-1-1-11-1-1111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111ii−i−i−i−iii1-1-111-1-11−iii−iii−i−i−i−iiiii−i−i−i−iii11-1-1-1-11111-1-1-1-111i−i−iii−i−ii
χ2611-111-1-1-11-1-1111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111ii−i−i−i−iii-111-1-111-1−iii−iii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-1-11111-1-1−iii−i−iii−i
χ2711-111-1-1-11-1-1111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i1-1-111-1-11i−i−ii−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-11111-1-1-1-111−iii−i−iii−i
χ2811-111-1-1-11-1-1111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i-111-1-111-1i−i−ii−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-1-11111-1-1i−i−iii−i−ii
χ2911-111-1-1-11-1-1111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-111-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1ii−i−i−i−iii1-1-11-111-1i−i−iiii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111-1-11111-1-1i−i−ii−iii−i
χ3011-111-1-1-11-1-1111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-111-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1ii−i−i−i−iii-111-11-1-11i−i−iiii−i−i−i−iii−i−iiiii−i−i-1-11111-1-111-1-1-1-111−iii−ii−i−ii
χ3111-111-1-1-11-1-1111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-111-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−iiiii−i−i1-1-11-111-1−iii−i−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111-1-11111-1-1−iii−ii−i−ii
χ3211-111-1-1-11-1-1111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-111-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−iiiii−i−i-111-11-1-11−iii−i−i−iiiii−i−iii−i−i−i−iii-1-11111-1-111-1-1-1-111i−i−ii−iii−i
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χ1964-4-4-444-444-444-4−1+5−1−5-4-4-4-44441−51+51−51−5−1+5−1+51+51+5−1−5−1−51−51+5−1+5−1−5-4-44444-4-400000000000000000000−1+5−1−51−5−1+51+5−1−5−1+51−5−1−51+5000000001−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−50000000000000000−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−5−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000000000000000000000000000000000000000000000000000
χ1974-4-4-444-44-24-4-44−1−5−1+52222-2-2-21+51−51+51+5−1−5−1−51−51−5−1+5−1+51+51−5−1−5−1+5-2-22222-2-20000−2i32i32i3−2i300000000−2i32i32i3−2i31+521−52−1−51+5−1+51−51+5−1−51−5−1+500000000−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−52ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ581+521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−52ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58000000000000000000000000000000000000000000000000000000000000
χ1984-4-4-444-44-24-4-44−1−5−1+52222-2-2-21+51−51+51+5−1−5−1−51−51−5−1+5−1+51+51−5−1−5−1+5-2-22222-2-200002i3−2i3−2i32i3000000002i3−2i3−2i32i31+521−52−1−51+5−1+51−51+5−1−51−5−1+500000000−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ581+521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58000000000000000000000000000000000000000000000000000000000000
χ1994-4-4-444-44-24-4-44−1+5−1−52222-2-2-21−51+51−51−5−1+5−1+51+51+5−1−5−1−51−51+5−1+5−1−5-2-22222-2-20000−2i32i32i3−2i300000000−2i32i32i3−2i31−521+52−1+51−5−1−51+51−5−1+51+5−1−500000000−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ461−521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46000000000000000000000000000000000000000000000000000000000000
χ2004-4-4-444-44-24-4-44−1+5−1−52222-2-2-21−51+51−51−5−1+5−1+51+51+5−1−5−1−51−51+5−1+5−1−5-2-22222-2-200002i3−2i3−2i32i3000000002i3−2i3−2i32i31−521+52−1+51−5−1−51+51−5−1+51+5−1−500000000−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ461−521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46000000000000000000000000000000000000000000000000000000000000
χ2014-4-4-444-44-2-444-4−1−5−1+52222-2-2-21+51−51+51+5−1−5−1−51−51−5−1+5−1+51+51−5−1−5−1+522-2-2-2-2220000−2i32i32i3−2i3000000002i3−2i3−2i32i31+521−521+5−1−51−5−1+5−1−51+5−1+51−500000000−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−52ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ581+521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58000000000000000000000000000000000000000000000000000000000000
χ2024-4-4-444-44-2-444-4−1−5−1+52222-2-2-21+51−51+51+5−1−5−1−51−51−5−1+5−1+51+51−5−1−5−1+522-2-2-2-22200002i3−2i3−2i32i300000000−2i32i32i3−2i31+521−521+5−1−51−5−1+5−1−51+5−1+51−500000000−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ581+521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58000000000000000000000000000000000000000000000000000000000000
χ2034-4-4-444-44-2-444-4−1+5−1−52222-2-2-21−51+51−51−5−1+5−1+51+51+5−1−5−1−51−51+5−1+5−1−522-2-2-2-2220000−2i32i32i3−2i3000000002i3−2i3−2i32i31−521+521−5−1+51+5−1−5−1+51−5−1−51+500000000−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ461−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46000000000000000000000000000000000000000000000000000000000000
χ2044-4-4-444-44-2-444-4−1+5−1−52222-2-2-21−51+51−51−5−1+5−1+51+51+5−1−5−1−51−51+5−1+5−1−522-2-2-2-22200002i3−2i3−2i32i300000000−2i32i32i3−2i31−521+521−5−1+51+5−1−5−1+51−5−1−51+500000000−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ461−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.