Finite Group Databasebeta

← Group #14327578

Character table — Group #14327578

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210
size1111111122222222222222222222222222222222222244444444444444444444444444444444444444444444444444446666666666666666666688888888888888888888888810101010101010101010101012121212121212121212121212121212121212121212121212121212121220202020202020202020202020202020202030303030606060606060
order1222222222223444444445566666661010101010101010101010101010666610101010101010101212121212121212151520202020202020202020202020202020303030303030303030303030303044442020202020202020202020202020202030303030303030306060606060606060606060606060606044441212121212121212444444202020202020202020202020202020202020202020202020224444666612121212121212124444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ51111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ61111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ71111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ81111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-111
χ911111111-1-1-1-111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ1011111111-1-1-1-111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111
χ1111111111-1-1-1-111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ1211111111-1-1-1-111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1111111-1-1-1-11111111111-1-1-1-1
χ1311111111-1-1-1-11-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1
χ1411111111-1-1-1-11-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111
χ1511111111-1-1-1-11-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ1611111111-1-1-1-11-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111111111111-1-111-1-1
χ17111-11-1-1-111-1-1111-1-111-1-111-1-1-1-111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111ii−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1i−ii−ii−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-11-111-1-111-1-111-1-1ii−i−ii−ii−ii−i
χ18111-11-1-1-111-1-1111-1-111-1-111-1-1-1-111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111ii−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111i−ii−ii−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11-11-1-111-1-111-1-111−i−iii−ii−ii−ii
χ19111-11-1-1-111-1-1111-1-111-1-111-1-1-1-111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111−i−iii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1−ii−ii−ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-11-11-111-1-111-1-111-1-1−i−iii−ii−ii−ii
χ20111-11-1-1-111-1-1111-1-111-1-111-1-1-1-111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111−i−iii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111−ii−ii−ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-11-11-11-1-111-1-111-1-111ii−i−ii−ii−ii−i
χ21111-11-1-1-111-1-11-1-111-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1i−i−ii−ii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-11-111-1-1-111-1-11111-1-1ii−i−i−ii−iii−i
χ22111-11-1-1-111-1-11-1-111-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111i−i−ii−ii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1-11-1-1111-1-111-1-1-1-111−i−iiii−ii−i−ii
χ23111-11-1-1-111-1-11-1-111-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−iii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1−iii−ii−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-11-111-1-1-111-1-11111-1-1−i−iiii−ii−i−ii
χ24111-11-1-1-111-1-11-1-111-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−iii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111−iii−ii−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1-11-1-1111-1-111-1-1-1-111ii−i−i−ii−iii−i
χ25111-11-1-1-1-1-111111-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1−iii−i−iiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-111-1-11-1-11111-1-1-1-111ii−i−ii−i−ii−ii
χ26111-11-1-1-1-1-111111-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111−iii−i−iiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1-1-111-111-1-1-1-11111-1-1−i−iii−iii−ii−i
χ27111-11-1-1-1-1-111111-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1i−i−iii−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-111-1-11-1-11111-1-1-1-111−i−iii−iii−ii−i
χ28111-11-1-1-1-1-111111-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111i−i−iii−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1-1-111-111-1-1-1-11111-1-1ii−i−ii−i−ii−ii
χ29111-11-1-1-1-1-1111-1-11111-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111ii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1−ii−iii−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1-1-11-1111-1-1-1-111-1-111ii−i−i−iii−i−ii
χ30111-11-1-1-1-1-1111-1-11111-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111ii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111−ii−iii−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-111-11-1-1-11111-1-111-1-1−i−iiii−i−iii−i
χ31111-11-1-1-1-1-1111-1-11111-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1i−ii−i−iiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-11-1111-1-1-1-111-1-111−i−iiii−i−iii−i
χ32111-11-1-1-1-1-1111-1-11111-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111i−ii−i−iiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-111-11-1-1-11111-1-111-1-1ii−i−i−iii−i−ii
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χ57222-22-2-2-222-2-2222-2-222-2-2−1−52−1+52-2-2-2-2222−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−5222-2-2−1−52−1−52−1+52−1+521+521+521−521−5222-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522i2i−2i−2i−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000002i−2i2i−2i2i−2i−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+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+ζ470000000000000000000000000000
χ58222-22-2-2-222-2-2222-2-222-2-2−1−52−1+52-2-2-2-2222−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−5222-2-2−1−52−1−52−1+52−1+521+521+521−521−5222-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−2i−2i2i2iζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000−2i2i−2i2i−2i2iζ11+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−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−ζ470000000000000000000000000000
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χ60222-22-2-2-222-2-2222-2-222-2-2−1+52−1−52-2-2-2-2222−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+5222-2-2−1+52−1+52−1−52−1−521−521−521+521+5222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−2i−2i2i2iζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000−2i2i−2i2i−2i2iζ7+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−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−ζ590000000000000000000000000000
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χ69222-22-2-2-2-2-222222-2-2-2-222−1−52−1+52-2-2-2-2222−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−52-2-2221+521+521−521−52−1−52−1−52−1+52−1+5222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522i2i−2i−2i−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ471+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000−2i2i2i−2i−2i2i−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−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−ζ470000000000000000000000000000
χ70222-22-2-2-2-2-222222-2-2-2-222−1−52−1+52-2-2-2-2222−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−52-2-2221+521+521−521−52−1−52−1−52−1+52−1+5222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−2i−2i2i2iζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ471+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000002i−2i−2i2i2i−2iζ11+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−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+ζ470000000000000000000000000000
χ71222-22-2-2-2-2-222222-2-2-2-222−1+52−1−52-2-2-2-2222−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+52-2-2221−521−521+521+52−1+52−1+52−1−52−1−5222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522i2i−2i−2i−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ591−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000−2i2i2i−2i−2i2i−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−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−ζ590000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.