Finite Group Databasebeta

← Group #14416843

Character table — Group #14416843

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size1111222222222222222222222222222222222244444444444444444444444444444444444444444444444444444488888888888888888888888888888888888888888888888888888888888888888888888888888888888815151515303030303030606060606060606060606060
order1222223444455666101010101010151515153030303030303030303030302244444466888810101010121212122020202020202020303030303030303060606060606060606060606060606060661010101012121212121220202020202020202020202024242424303030303030303040404040404040406060606060606060606060606060606060606060606060601201201201201201201201201201201201201201201201204444444444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-11-1-11111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-1
χ101111-1-11-1-11111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111
χ111111-1-11-1-11111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-111-1-111
χ121111-1-11-1-11111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-111-1-1
χ131111-1-11-1-111111111111111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-111
χ141111-1-11-1-111111111111111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111-1-11-1-111111111111111111111111111111-1-111-1-111-1-111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ161111-1-11-1-111111111111111111111111111111-1-111-1-111-1-111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111
χ171-11-11-111-1-1111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-11-11-1i−ii−i1-1i−ii−i11-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11-1i−ii−i11-1-1ii−i−iii−i−ii−ii−i1111-1-1-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−ii−ii−ii−ii−ii−i1-11-11-11-1
χ181-11-11-111-1-1111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-11-11-1i−ii−i1-1i−ii−i11-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11-1i−ii−i11-1-1ii−i−iii−i−ii−ii−i1111-1-1-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii−ii−ii−ii−ii−ii-11-11-11-11
χ191-11-11-111-1-1111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-11-11-1−ii−ii1-1−ii−ii11-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11-1−ii−ii11-1-1−i−iii−i−iii−ii−ii1111-1-1-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiiiii−i−ii−ii−ii−ii−ii−i-11-11-11-11
χ201-11-11-111-1-1111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-11-11-1−ii−ii1-1−ii−ii11-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11-1−ii−ii11-1-1−i−iii−i−iii−ii−ii1111-1-1-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−iii−ii−ii−ii−ii−ii1-11-11-11-1
χ211-11-11-111-1-1111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11i−ii−i1-1−ii−ii11-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-11i−ii−i-1-111ii−i−iii−i−i−ii−ii-1-1-1-11111−i−iii−i−iii-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−ii−ii−ii−i−ii−ii1-11-1-11-11
χ221-11-11-111-1-1111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11i−ii−i1-1−ii−ii11-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-11i−ii−i-1-111ii−i−iii−i−i−ii−ii-1-1-1-11111−i−iii−i−iii-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−iii−ii−ii−iii−ii−i-11-111-11-1
χ231-11-11-111-1-1111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11−ii−ii1-1i−ii−i11-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-11−ii−ii-1-111−i−iii−i−iiii−ii−i-1-1-1-11111ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−iii−i−ii−ii−ii−i−ii−ii-11-111-11-1
χ241-11-11-111-1-1111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11−ii−ii1-1i−ii−i11-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-11−ii−ii-1-111−i−iii−i−iiii−ii−i-1-1-1-11111ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−iii−ii−ii−iii−ii−i1-11-1-11-11
χ251-11-1-111-11-1111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1-11i−i−ii-11i−i−ii-1-1111-11-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-111-1-1-11i−i−ii-1-111ii−i−i−i−iiii−i−ii1111-1-1-1-1ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i−iii−i−iii−i−ii1-1-111-1-11
χ261-11-1-111-11-1111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1-11i−i−ii-11i−i−ii-1-1111-11-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-111-1-1-11i−i−ii-1-111ii−i−i−i−iiii−i−ii1111-1-1-1-1ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−iiii−i−iii−i−iii−i-111-1-111-1
χ271-11-1-111-11-1111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1-11−iii−i-11−iii−i-1-1111-11-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-111-1-1-11−iii−i-1-111−i−iiiii−i−i−iii−i1111-1-1-1-1−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i−iii−i−iii−i−ii-111-1-111-1
χ281-11-1-111-11-1111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1-11−iii−i-11−iii−i-1-1111-11-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-111-1-1-11−iii−i-1-111−i−iiiii−i−i−iii−i1111-1-1-1-1−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iiii−i−iii−i−iii−i1-1-111-1-11
χ291-11-1-111-11-1111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-1-111-1i−i−ii-11−iii−i-1-1111-11-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1-1111-1i−i−ii11-1-1ii−i−i−i−iii−iii−i-1-1-1-11111−i−iiiii−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iii−i−i−iii−i−ii−iii−i1-1-11-111-1
χ301-11-1-111-11-1111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-1-111-1i−i−ii-11−iii−i-1-1111-11-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1-1111-1i−i−ii11-1-1ii−i−i−i−iii−iii−i-1-1-1-11111−i−iiiii−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−iiii−i−iii−ii−i−ii-111-11-1-11
χ311-11-1-111-11-1111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-1-111-1−iii−i-11i−i−ii-1-1111-11-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1-1111-1−iii−i11-1-1−i−iiiii−i−ii−i−ii-1-1-1-11111ii−i−i−i−iii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiii−i−i−iii−i−ii−iii−i-111-11-1-11
χ321-11-1-111-11-1111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-1-111-1−iii−i-11i−i−ii-1-1111-11-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1-1111-1−iii−i11-1-1−i−iiiii−i−ii−i−ii-1-1-1-11111ii−i−i−i−iii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−iiii−i−iii−ii−i−ii1-1-11-111-1
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χ157444444-2-4-4-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ3800000000-2-20000−1−5−1+5−1−5−1+522221+51−51+51−51+51−51+51−5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ380000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1604444-4-4444-4-4−1−5−1+5444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+500000000-4-400001+51−51+51−5-444-41+51−5−1−5−1+5−1−5−1+51+51−51+51+51−51−51+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51−51−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1614444-4-4444-4-4−1+5−1−5444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−500000000-4-400001−51+51−51+5-444-41−51+5−1+5−1−5−1+5−1−51−51+51−51−51+51+51−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51+51+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1634444-4-4-244-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58000000002200001+51−51+51−52-2-221+51−5−1−5−1+5−1−5−1+51+51−52ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ580000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1644444-4-4-244-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38000000002200001+51−51+51−52-2-221+51−5−1−5−1+5−1−5−1+51+51−52ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ380000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1654444-4-4-244-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34000000002200001−51+51−51+52-2-221−51+5−1+5−1−5−1+5−1−51−51+52ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ340000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1694-44-44-44-444-4−1−5−1+5-44-41+51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5000000004-40000−1−5−1+51+51−5-4-4441+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1704-44-44-44-444-4−1+5−1−5-44-41−51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5000000004-40000−1+5−1−51−51+5-4-4441−51+51−51+5−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1724-44-44-4-2-444-4−1−5−1+52-221+51−5−1−5−1+51+51−5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ5800000000-220000−1−5−1+51+51−522-2-21+51−51+51−5−1−5−1+5−1−5−1+5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ580000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1744-44-44-4-2-444-4−1+5−1−52-221−51+5−1+5−1−51−51+5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ3400000000-220000−1+5−1−51−51+522-2-21−51+51−51+5−1+5−1−5−1+5−1−5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ340000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1754-44-44-4-2-444-4−1+5−1−52-221−51+5−1+5−1−51−51+5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ4600000000-220000−1+5−1−51−51+522-2-21−51+51−51+5−1+5−1−5−1+5−1−5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ460000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1764-44-4-4444-44-4−1−5−1+5-44-41+51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−500000000-4400001+51−5−1−5−1+5-44-441+51−5−1−5−1+51+51−5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1−5−1+5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1774-44-4-4444-44-4−1+5−1−5-44-41−51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+500000000-4400001−51+5−1+5−1−5-44-441−51+5−1+5−1−51−51+5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1+5−1−5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1784-44-4-44-24-44-4442-22-4-444-4-4-2-2-2-22222-2-2-2-22222000000002-20000-4-4442-22-2-4-444-4-4442222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1794-44-4-44-24-44-4−1−5−1+52-221+51−5−1−5−1+51+51−5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ58000000002-200001+51−5−1−5−1+52-22-21+51−5−1−5−1+51+51−5−1−5−1+52ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ580000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1804-44-4-44-24-44-4−1−5−1+52-221+51−5−1−5−1+51+51−5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ38000000002-200001+51−5−1−5−1+52-22-21+51−5−1−5−1+51+51−5−1−5−1+52ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ380000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1814-44-4-44-24-44-4−1+5−1−52-221−51+5−1+5−1−51−51+5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ34000000002-200001−51+5−1+5−1−52-22-21−51+5−1+5−1−51−51+5−1+5−1−52ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ340000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1824-44-4-44-24-44-4−1+5−1−52-221−51+5−1+5−1−51−51+5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ46000000002-200001−51+5−1+5−1−52-22-21−51+5−1+5−1−51−51+5−1+5−1−52ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ460000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1834-4-44004000044-4-44-4-4-4-4444444-4-4-4-4-4-4-4-444440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004i−4i−4i4i000000000000000000
χ1844-4-44004000044-4-44-4-4-4-4444444-4-4-4-4-4-4-4-44444000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−4i4i4i−4i000000000000000000
χ18588-8-80080000−2−25−2+258-8-8−2−25−2+252+252−252+252−25−2−25−2−25−2+25−2+25−2−25−2−25−2+25−2+252+252+252−252−252+252+252−252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18688-8-80080000−2+25−2−258-8-8−2+25−2−252−252+252−252+25−2+25−2+25−2−25−2−25−2+25−2+25−2−25−2−252−252−252+252+252−252−252+252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18788-8-800-4000088-44488-8-8-8-8-4-4-4-4-4-4-4-4444444440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18888-8-800-40000−2−25−2+25-444−2−25−2+252+252−252+252−25−4ζ26−4ζ34−4ζ14−4ζ46−4ζ22−4ζ38−4ζ2−4ζ58−4ζ26−4ζ34−4ζ14−4ζ46−4ζ22−4ζ38−4ζ2−4ζ584ζ26+4ζ344ζ14+4ζ464ζ22+4ζ384ζ2+4ζ584ζ26+4ζ344ζ14+4ζ464ζ22+4ζ384ζ2+4ζ580000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18988-8-800-40000−2−25−2+25-444−2−25−2+252+252−252+252−25−4ζ14−4ζ46−4ζ26−4ζ34−4ζ2−4ζ58−4ζ22−4ζ38−4ζ14−4ζ46−4ζ26−4ζ34−4ζ2−4ζ58−4ζ22−4ζ384ζ14+4ζ464ζ26+4ζ344ζ2+4ζ584ζ22+4ζ384ζ14+4ζ464ζ26+4ζ344ζ2+4ζ584ζ22+4ζ380000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19088-8-800-40000−2+25−2−25-444−2+25−2−252−252+252−252+25−4ζ22−4ζ38−4ζ2−4ζ58−4ζ14−4ζ46−4ζ26−4ζ34−4ζ22−4ζ38−4ζ2−4ζ58−4ζ14−4ζ46−4ζ26−4ζ344ζ22+4ζ384ζ2+4ζ584ζ14+4ζ464ζ26+4ζ344ζ22+4ζ384ζ2+4ζ584ζ14+4ζ464ζ26+4ζ340000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19188-8-800-40000−2+25−2−25-444−2+25−2−252−252+252−252+25−4ζ2−4ζ58−4ζ22−4ζ38−4ζ26−4ζ34−4ζ14−4ζ46−4ζ2−4ζ58−4ζ22−4ζ38−4ζ26−4ζ34−4ζ14−4ζ464ζ2+4ζ584ζ22+4ζ384ζ26+4ζ344ζ14+4ζ464ζ2+4ζ584ζ22+4ζ384ζ26+4ζ344ζ14+4ζ460000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1928-8-880080000−2−25−2+25-8-882+252−252+252−25−2−25−2+25−2−25−2−25−2+25−2+252+252+252−252−252+252+252−252−25−2−25−2−25−2+25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1938-8-880080000−2+25−2−25-8-882−252+252−252+25−2+25−2−25−2+25−2+25−2−25−2−252−252−252+252+252−252−252+252+25−2+25−2+25−2−25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1948-8-8800-400008844-4-8-8-8-888-4-4-4-444444444-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1958-8-8800-40000−2−25−2+2544-42+252−252+252−25−2−25−2+25−4ζ26−4ζ34−4ζ14−4ζ46−4ζ22−4ζ38−4ζ2−4ζ584ζ26+4ζ344ζ14+4ζ464ζ22+4ζ384ζ2+4ζ584ζ26+4ζ344ζ14+4ζ464ζ22+4ζ384ζ2+4ζ58−4ζ26−4ζ34−4ζ14−4ζ46−4ζ22−4ζ38−4ζ2−4ζ580000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1968-8-8800-40000−2−25−2+2544-42+252−252+252−25−2−25−2+25−4ζ14−4ζ46−4ζ26−4ζ34−4ζ2−4ζ58−4ζ22−4ζ384ζ14+4ζ464ζ26+4ζ344ζ2+4ζ584ζ22+4ζ384ζ14+4ζ464ζ26+4ζ344ζ2+4ζ584ζ22+4ζ38−4ζ14−4ζ46−4ζ26−4ζ34−4ζ2−4ζ58−4ζ22−4ζ380000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1978-8-8800-40000−2+25−2−2544-42−252+252−252+25−2+25−2−25−4ζ22−4ζ38−4ζ2−4ζ58−4ζ14−4ζ46−4ζ26−4ζ344ζ22+4ζ384ζ2+4ζ584ζ14+4ζ464ζ26+4ζ344ζ22+4ζ384ζ2+4ζ584ζ14+4ζ464ζ26+4ζ34−4ζ22−4ζ38−4ζ2−4ζ58−4ζ14−4ζ46−4ζ26−4ζ340000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1988-8-8800-40000−2+25−2−2544-42−252+252−252+25−2+25−2−25−4ζ2−4ζ58−4ζ22−4ζ38−4ζ26−4ζ34−4ζ14−4ζ464ζ2+4ζ584ζ22+4ζ384ζ26+4ζ344ζ14+4ζ464ζ2+4ζ584ζ22+4ζ384ζ26+4ζ344ζ14+4ζ46−4ζ2−4ζ58−4ζ22−4ζ38−4ζ26−4ζ34−4ζ14−4ζ460000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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