Finite Group Databasebeta

← Group #14323331

Character table — Group #14323331

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size11111111222222222222222222222222222244444444444444444444444444444444444444444444444466666666666666666666666688888888888888888888888888881212121212121212121212121212121212121212121212121212121220202020202020202020202020202020404040406060606060606060
order122222223444455666666610101010101010101010101010104444121212121515202020202020202020202020202020202020202020202020303030303030303030303030303044444444202020202020202020202020202020201212121260606060606060606060606060606060606060606060606044442020202020202020202020202020202020202020202020204444444412121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-111-1-111
χ11111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111
χ12111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-11111-1-111-1-1
χ13111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111
χ14111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ15111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1
χ16111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111
χ17111-11-1-1-1111-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111111-11-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−ii−ii−ii−ii−ii−ii−i
χ18111-11-1-1-1111-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111111-11-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−ii−ii−ii−ii−ii−ii
χ19111-11-1-1-1111-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111111-11-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1111111111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111i−ii−ii−ii−iii−i−iii−i−ii−ii−i−ii−ii−ii−ii
χ20111-11-1-1-1111-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111111-11-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1111111111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111−ii−ii−ii−ii−i−iii−i−iii−ii−iii−ii−ii−ii−i
χ21111-11-1-1-1111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111111-11-1111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111i−ii−i−ii−iiii−i−iii−i−i−ii−iii−ii−i−ii−ii
χ22111-11-1-1-1111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111111-11-1111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111−ii−iii−ii−i−i−iii−i−iiii−ii−i−ii−iii−ii−i
χ23111-11-1-1-1111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111111-11-1111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-1-1-1-111111111-1-1-1-11111-1-1-1-1i−ii−i−ii−iiii−i−iii−i−i−ii−ii−ii−iii−ii−i
χ24111-11-1-1-1111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111111-11-1111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-1-1-1-111111111-1-1-1-11111-1-1-1-1−ii−iii−ii−i−i−iii−i−iiii−ii−ii−ii−i−ii−ii
χ25111-11-1-1-11-1-111111-1-111-1-1-1-1-1-1-1-1-1-11111111-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−iii−i−iiii−i−i−i−iiii−i−iii−i−iii−i−ii
χ26111-11-1-1-11-1-111111-1-111-1-1-1-1-1-1-1-1-1-11111111-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−i−iii−i−i−iiiii−i−i−iii−i−iii−i−iii−i
χ27111-11-1-1-11-1-111111-1-111-1-1-1-1-1-1-1-1-1-11111111-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1i−i−iii−i−iiii−i−i−i−iiii−i−ii−iii−i−iii−i
χ28111-11-1-1-11-1-111111-1-111-1-1-1-1-1-1-1-1-1-11111111-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1−iii−i−iii−i−i−iiiii−i−i−iii−ii−i−iii−i−ii
χ29111-11-1-1-11-1-111111-1-111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−iii−ii−i−ii−iii−i
χ30111-11-1-1-11-1-111111-1-111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−ii−i−ii−iii−ii−i−ii
χ31111-11-1-1-11-1-111111-1-111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111i−i−ii−iii−iii−i−i−i−iii−iii−i−iii−ii−i−ii
χ32111-11-1-1-11-1-111111-1-111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111−iii−ii−i−ii−i−iiiii−i−ii−i−iii−i−ii−iii−i
χ332222222222222−1−52−1+522222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000
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χ1774-4-4-44-444-24-4-44−1−5−1+52-2-2-22221+51+5−1−5−1−51−51−5−1+5−1+51+51−51+51−5−1−5−1+50000-222-21+521−522ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−1−51+5−1+51−51+5−1−51−5−1+5−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521−52−1−52−1+5200000000000000000000000000001+52−1−521−52−1+52−1−521+52−1+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000000000000000000000000000000000000000000000000000
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χ1794-4-4-44-444-24-4-44−1+5−1−52-2-2-22221−51−5−1+5−1+51+51+5−1−5−1−51−51+51−51+5−1+5−1−50000-222-21−521+52−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−1+51−5−1−51+51−5−1+51+5−1−5−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521+52−1+52−1−5200000000000000000000000000001−52−1+521+52−1−52−1+521−52−1−521+52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ5900000000000000000000000000000000000000000000000000000000
χ1804-4-4-44-444-2-444-4442-2-2-2222-4-444-4-444-4-4-4-44400002-2-22-2-20000000000000000-44-444-44-42222-2-222-2-2-2-22200000000000000000000000000002-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1814-4-4-44-444-2-444-4−1−5−1+52-2-2-22221+51+5−1−5−1−51−51−5−1+5−1+51+51−51+51−5−1−5−1+500002-2-221+521−52−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ471+5−1−51−5−1+5−1−51+5−1+51−5−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521−52−1−52−1+520000000000000000000000000000−1−521+52−1+521−521+52−1−521−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000000000000000000000000000000000000000000000000000
χ1824-4-4-44-444-2-444-4−1−5−1+52-2-2-22221+51+5−1−5−1−51−51−5−1+5−1+51+51−51+51−5−1−5−1+500002-2-221+521−522ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ471+5−1−51−5−1+5−1−51+5−1+51−5−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521−52−1−52−1+520000000000000000000000000000−1−521+52−1+521−521+52−1−521−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000000000000000000000000000000000000000000000000000
χ1834-4-4-44-444-2-444-4−1+5−1−52-2-2-22221−51−5−1+5−1+51+51+5−1−5−1−51−51+51−51+5−1+5−1−500002-2-221−521+522ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ591−5−1+51+5−1−5−1+51−5−1−51+5−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521+52−1+52−1−520000000000000000000000000000−1+521−52−1−521+521−52−1+521+52−1−52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ5900000000000000000000000000000000000000000000000000000000
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χ18588-88-8-8-88-40000−2−25−2+25-4-4444-44−2−252+25−2−252+25−2+252−25−2+252−25−2−25−2+252+252−252+252−25000000001+51−50000000000000000000000001+51−51+5−1−51+5−1−51−5−1+51−5−1+5−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18688-88-8-8-88-40000−2+25−2−25-4-4444-44−2+252−25−2+252−25−2−252+25−2−252+25−2+25−2−252−252+252−252+25000000001−51+50000000000000000000000001−51+51−5−1+51−5−1+51+5−1−51+5−1−5−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18788-8-8-888-8-40000−2−25−2+25-44-4444-42+25−2−252+25−2−252−25−2+252−25−2+25−2−25−2+252+252−252+252−25000000001+51−50000000000000000000000001+51−5−1−51+5−1−51+5−1+51−5−1+51−5−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1898-888-8-88-8-40000−2−25−2+2544-44-4-44−2−252+252+25−2−25−2+252−252−25−2+252+252−25−2−25−2+252+252−25000000001+51−5000000000000000000000000−1−5−1+51+5−1−5−1−51+51−5−1+5−1+51−5−1−5−1+51+51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.