Finite Group Databasebeta

← Group #14327622

Character table — Group #14327622

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444446666666666666666666666666666888888888888888888888888888810101010121212121212121212121212121212121212121212121212121220202020202020202020202020203030303040404040606060606060
order1222222234444556666666101010101010101010101010101044441212121215152020202020202020202020202020202020202020202020203030303030303030303030303030222244444444101010101010101010101010101010101212121260606060606060606060606060606060606060606060606044444420202020202020202020202020202020202020202020202022444412121212121212124444661212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1
χ9111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111
χ10111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1
χ11111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ12111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ13111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1
χ14111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111
χ15111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111
χ16111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1
χ171-1-11-111-11ii−i−i111-11-1-11-11111-1-1-1-111-1-1-1-1i−i1-1ii−i−i11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-1i−i1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-1i−ii−i11-1-1ii−i−i11-1-11-1i−i1-1i−ii−i
χ181-1-11-111-11ii−i−i111-11-1-11-11111-1-1-1-111-1-1-1-1i−i1-1ii−i−i11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-1i−i1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11−ii−ii-1-111−i−iii-1-111-11−ii-11−ii−ii
χ191-1-11-111-11ii−i−i111-11-1-11-11111-1-1-1-111-1-1-1-1i−i1-1ii−i−i11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111−i−iii-1-111-1-1-1-1-1-1-1-111111111i−i1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1−ii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111111-1i−ii−i11-1-1ii−i−i-1-1111-1i−i-11−ii−ii
χ201-1-11-111-11ii−i−i111-11-1-11-11111-1-1-1-111-1-1-1-1i−i1-1ii−i−i11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111−i−iii-1-111-1-1-1-1-1-1-1-111111111i−i1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111−ii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-11−ii−ii-1-111−i−iii11-1-1-11−ii1-1i−ii−i
χ211-1-11-111-11ii−i−i111-11-1-11-11111-1-1-1-111-1-1-1-1−ii-11ii−i−i11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1−i−iii-1-11111111111-1-1-1-1-1-1-1-1−ii-11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111111-1-1i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-11i−i−ii11-1-1ii−i−i11-1-1-11−ii-11i−i−ii
χ221-1-11-111-11ii−i−i111-11-1-11-11111-1-1-1-111-1-1-1-1−ii-11ii−i−i11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1−i−iii-1-11111111111-1-1-1-1-1-1-1-1−ii-11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-111i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-1−iii−i-1-111−i−iii-1-1111-1i−i1-1−iii−i
χ231-1-11-111-11ii−i−i111-11-1-11-11111-1-1-1-111-1-1-1-1−ii-11ii−i−i11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111ii−i−i11-1-1-1-1-1-1-1-1-1-111111111−ii-11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111111-1-1−ii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-11i−i−ii11-1-1ii−i−i-1-111-11−ii1-1−iii−i
χ241-1-11-111-11ii−i−i111-11-1-11-11111-1-1-1-111-1-1-1-1−ii-11ii−i−i11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111ii−i−i11-1-1-1-1-1-1-1-1-1-111111111−ii-11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-111−ii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-11-1−iii−i-1-111−i−iii11-1-11-1i−i-11i−i−ii
χ251-1-11-111-11−i−iii111-11-1-11-11111-1-1-1-111-1-1-1-1i−i-11−i−iii11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1ii−i−i-1-11111111111-1-1-1-1-1-1-1-1i−i-11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111111-1-1−ii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-11−iii−i11-1-1−i−iii11-1-1-11i−i-11−iii−i
χ261-1-11-111-11−i−iii111-11-1-11-11111-1-1-1-111-1-1-1-1i−i-11−i−iii11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1ii−i−i-1-11111111111-1-1-1-1-1-1-1-1i−i-11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-111−ii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-1i−i−ii-1-111ii−i−i-1-1111-1−ii1-1i−i−ii
χ271-1-11-111-11−i−iii111-11-1-11-11111-1-1-1-111-1-1-1-1i−i-11−i−iii11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111−i−iii11-1-1-1-1-1-1-1-1-1-111111111i−i-11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111111-1-1i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-11−iii−i11-1-1−i−iii-1-111-11i−i1-1i−i−ii
χ281-1-11-111-11−i−iii111-11-1-11-11111-1-1-1-111-1-1-1-1i−i-11−i−iii11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111−i−iii11-1-1-1-1-1-1-1-1-1-111111111i−i-11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-111i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11-1i−i−ii-1-111ii−i−i11-1-11-1−ii-11−iii−i
χ291-1-11-111-11−i−iii111-11-1-11-11111-1-1-1-111-1-1-1-1−ii1-1−i−iii11−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-1−ii1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-1−ii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-1−ii−ii11-1-1−i−iii11-1-11-1−ii1-1−ii−ii
χ301-1-11-111-11−i−iii111-11-1-11-11111-1-1-1-111-1-1-1-1−ii1-1−i−iii11−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-1−ii1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-111−ii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-11i−ii−i-1-111ii−i−i-1-111-11i−i-11i−ii−i
χ311-1-11-111-11−i−iii111-11-1-11-11111-1-1-1-111-1-1-1-1−ii1-1−i−iii11−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111ii−i−i-1-111-1-1-1-1-1-1-1-111111111−ii1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-1i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-111111-1−ii−ii11-1-1−i−iii-1-1111-1−ii-11i−ii−i
χ321-1-11-111-11−i−iii111-11-1-11-11111-1-1-1-111-1-1-1-1−ii1-1−i−iii11−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111ii−i−i-1-111-1-1-1-1-1-1-1-111111111−ii1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-111i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-11i−ii−i-1-111ii−i−i11-1-1-11i−i1-1−ii−ii
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χ1774-4-44-444-4-24i4i−4i−4i−1−5−1+5-22-222-22−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+51+51+51−51−54i−4i4-4−2i−2i2i2i1+521−52−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ47−1−5−1−5−1+5−1+51+51+51−51−51+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+520000000000000000000000000000−2i2i-22ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ471+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000000000000000000000000000000000000000
χ1784-4-44-444-4-24i4i−4i−4i−1−5−1+5-22-222-22−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+51+51+51−51−5−4i4i-44−2i−2i2i2i1+521−52−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ471+51+51−51−5−1−5−1−5−1+5−1+51+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+5200000000000000000000000000002i−2i2-2ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000000000000000000000000000000000000000
χ1794-4-44-444-4-24i4i−4i−4i−1+5−1−5-22-222-22−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−51−51−51+51+54i−4i4-4−2i−2i2i2i1−521+52−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−1+5−1+5−1−5−1−51−51−51+51+51−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−520000000000000000000000000000−2i2i-22ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ591−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000000000000000000000000000000000000000
χ1804-4-44-444-4-24i4i−4i−4i−1+5−1−5-22-222-22−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−51−51−51+51+5−4i4i-44−2i−2i2i2i1−521+52−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−51−51+51+5−1+5−1+5−1−5−1−51−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−5200000000000000000000000000002i−2i2-2ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000000000000000000000000000000000000000
χ1814-4-44-444-4-2−4i−4i4i4i−1−5−1+5-22-222-22−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+51+51+51−51−54i−4i-442i2i−2i−2i1+521−522ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ471+51+51−51−5−1−5−1−5−1+5−1+51+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+520000000000000000000000000000−2i2i2-2−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000000000000000000000000000000000000000
χ1824-4-44-444-4-2−4i−4i4i4i−1−5−1+5-22-222-22−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+51+51+51−51−5−4i4i4-42i2i−2i−2i1+521−522ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−1−5−1−5−1+5−1+51+51+51−51−51+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+5200000000000000000000000000002i−2i-22−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ471+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000000000000000000000000000000000000000
χ1834-4-44-444-4-2−4i−4i4i4i−1+5−1−5-22-222-22−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−51−51−51+51+54i−4i-442i2i−2i−2i1−521+522ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ591−51−51+51+5−1+5−1+5−1−5−1−51−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−520000000000000000000000000000−2i2i2-2−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000000000000000000000000000000000000000
χ1844-4-44-444-4-2−4i−4i4i4i−1+5−1−5-22-222-22−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−51−51−51+51+5−4i4i4-42i2i−2i−2i1−521+522ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−1+5−1+5−1−5−1−51−51−51+51+51−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−5200000000000000000000000000002i−2i-22−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ591−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000000000000000000000000000000000000000
χ1854-4-4-444-4440000−1−5−1+544-4-4-4-44−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−51+51+51−51−500000000−1−5−1+5000000000000000000000000−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−51+51+51−51−54-4-4400000000−1−5−1−51+51+5−1+5−1+51−51−51+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1864-4-4-444-4440000−1−5−1+544-4-4-4-44−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−51+51+51−51−500000000−1−5−1+5000000000000000000000000−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−51+51+51−51−5-444-4000000001+51+5−1−5−1−51−51−5−1+5−1+5−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1874-4-4-444-4440000−1+5−1−544-4-4-4-44−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51+51−51−51+51+500000000−1+5−1−5000000000000000000000000−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51+51−51−51+51+54-4-4400000000−1+5−1+51−51−5−1−5−1−51+51+51−51−5−1+5−1+51+51+5−1−5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1884-4-4-444-4440000−1+5−1−544-4-4-4-44−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51+51−51−51+51+500000000−1+5−1−5000000000000000000000000−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51+51−51−51+51+5-444-4000000001−51−5−1+5−1+51+51+5−1−5−1−5−1+5−1+51−51−5−1−5−1−51+51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1894-4-4-444-44-2000044-2-22222-24-44-44444-4-4-4-4-4-400000000-2-2000000000000000000000000-22-22-2-2-2-2222222000000000000000000000000000000000000000000000000000000004i−4i−4i4i00000000000000000000000000000000−2i2i2i−2i000000000000000000
χ1904-4-4-444-44-2000044-2-22222-24-44-44444-4-4-4-4-4-400000000-2-2000000000000000000000000-22-22-2-2-2-222222200000000000000000000000000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000002i−2i−2i2i000000000000000000
χ191888-8-88-8-8-40000−2−25−2+25-444-4-444−2−252+25−2+252−252+252+252−252−252+252−25−2−25−2−25−2+25−2+25000000001+51−50000000000000000000000001+5−1−51−5−1+5−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ192888-8-88-8-8-40000−2+25−2−25-444-4-444−2+252−25−2−252+252−252−252+252+252−252+25−2+25−2+25−2−25−2−25000000001−51+50000000000000000000000001−5−1+51+5−1−5−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19388-8-8-8-888-40000−2−25−2+254-4-4-44442+252+252−252−252+25−2−252−25−2+25−2−25−2+25−2−252+25−2+252−25000000001+51−5000000000000000000000000−1−5−1−5−1+5−1+5−1−51+5−1+51−51+51−51+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19488-8-8-8-888-40000−2+25−2−254-4-4-44442−252−252+252+252−25−2+252+25−2−25−2+25−2−25−2+252−25−2−252+25000000001−51+5000000000000000000000000−1+5−1+5−1−5−1−5−1+51−5−1−51+51−51+51−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1958-88-88-88-8-40000−2−25−2+2544-44-44-42+252+252−252−25−2−252+25−2+252−25−2−25−2+252+25−2−252−25−2+25000000001+51−5000000000000000000000000−1−5−1−5−1+5−1+51+5−1−51−5−1+51+51−5−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1968-88-88-88-8-40000−2+25−2−2544-44-44-42−252−252+252+25−2+252−25−2−252+25−2+25−2−252−25−2+252+25−2−25000000001−51+5000000000000000000000000−1+5−1+5−1−5−1−51−5−1+51+5−1−51−51+5−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1978-8-8-888-88-40000−2−25−2+25-4-44444-4−2−252+25−2+252−25−2−25−2−25−2+25−2+252+252−252+252+252−252−25000000001+51−50000000000000000000000001+5−1−51−5−1+51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1988-8-8-888-88-40000−2+25−2−25-4-44444-4−2+252−25−2−252+25−2+25−2+25−2−25−2−252−252+252−252−252+252+25000000001−51+50000000000000000000000001−5−1+51+5−1−51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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