Finite Group Databasebeta

← Group #14480460

Character table — Group #14480460

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size1111222222444444444444222244444488888888888822224444448888888888882222444444888888888888222244444488888888888822224444448888888888882222444444888888888888222244444488888888888815151515303030303030606060606060606060606060
order122222444422444444444436666612121212661212121212121212121251010101010202020201010202020202020202020205101010101020202020101020202020202020202020153030303030606060603030606060606060606060601530303030306060606030306060606060606060606015303030303060606060303060606060606060606060153030303030606060603030606060606060606060602222224444224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1
χ31111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1
χ41111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-11-111-1-11-111-1-1111111-1-1-1-11-111-1-11-111-1-1111111-1-1-1-11-111-1-11-111-1-1111111-1-1-1-11-111-1-11-111-1-1111111-1-1-1-11-111-1-11-111-1-1111111-1-1-1-11-111-1-11-111-1-1111111-1-1-1-11-111-1-11-111-1-1111111-1-1-1-11-111-1-11-111-1-1111111-1-1-1-11-111-1-11-111-1-1
χ6111111-1-1-1-11-1-1-1111-1-1-111111111-1-1-1-11-1-1-1111-1-1-111111111-1-1-1-11-1-1-1111-1-1-111111111-1-1-1-11-1-1-1111-1-1-111111111-1-1-1-11-1-1-1111-1-1-111111111-1-1-1-11-1-1-1111-1-1-111111111-1-1-1-11-1-1-1111-1-1-111111111-1-1-1-11-1-1-1111-1-1-111111111-1-1-1-11-1-1-1111-1-1-111
χ7111111-1-1-1-1-1111-1-1-11-1-111111111-1-1-1-1-1111-1-1-11-1-111111111-1-1-1-1-1111-1-1-11-1-111111111-1-1-1-1-1111-1-1-11-1-111111111-1-1-1-1-1111-1-1-11-1-111111111-1-1-1-1-1111-1-1-11-1-111111111-1-1-1-1-1111-1-1-11-1-111111111-1-1-1-1-1111-1-1-11-1-111111111-1-1-1-1-1111-1-1-11-1-111
χ8111111-1-1-1-1-11-1-111-1111-1-1111111-1-1-1-1-11-1-111-1111-1-1111111-1-1-1-1-11-1-111-1111-1-1111111-1-1-1-1-11-1-111-1111-1-1111111-1-1-1-1-11-1-111-1111-1-1111111-1-1-1-1-11-1-111-1111-1-1111111-1-1-1-1-11-1-111-1111-1-1111111-1-1-1-1-11-1-111-1111-1-1111111-1-1-1-1-11-1-111-1111-1-1
χ91111-1-111-1-1111-11-1-1-11-11-11111-1-111-1-1111-11-1-1-11-11-11111-1-111-1-1111-11-1-1-11-11-11111-1-111-1-1111-11-1-1-11-11-11111-1-111-1-1111-11-1-1-11-11-11111-1-111-1-1111-11-1-1-11-11-11111-1-111-1-1111-11-1-1-11-11-11111-1-111-1-1111-11-1-1-11-11-11111-1-111-1-1111-11-1-1-11-11-1
χ101111-1-111-1-111-11-11-1-1-11-111111-1-111-1-111-11-11-1-1-11-111111-1-111-1-111-11-11-1-1-11-111111-1-111-1-111-11-11-1-1-11-111111-1-111-1-111-11-11-1-1-11-111111-1-111-1-111-11-11-1-1-11-111111-1-111-1-111-11-11-1-1-11-111111-1-111-1-111-11-11-1-1-11-111111-1-111-1-111-11-11-1-1-11-11
χ111111-1-111-1-1-1-11-11-111-11-111111-1-111-1-1-1-11-11-111-11-111111-1-111-1-1-1-11-11-111-11-111111-1-111-1-1-1-11-11-111-11-111111-1-111-1-1-1-11-11-111-11-111111-1-111-1-1-1-11-11-111-11-111111-1-111-1-1-1-11-11-111-11-111111-1-111-1-1-1-11-11-111-11-111111-1-111-1-1-1-11-11-111-11-11
χ121111-1-111-1-1-1-1-11-11111-11-11111-1-111-1-1-1-1-11-11111-11-11111-1-111-1-1-1-1-11-11111-11-11111-1-111-1-1-1-1-11-11111-11-11111-1-111-1-1-1-1-11-11111-11-11111-1-111-1-1-1-1-11-11111-11-11111-1-111-1-1-1-1-11-11111-11-11111-1-111-1-1-1-1-11-11111-11-11111-1-111-1-1-1-1-11-11111-11-1
χ131111-1-1-1-1111-11-1-11-111-1-111111-1-1-1-1111-11-1-11-111-1-111111-1-1-1-1111-11-1-11-111-1-111111-1-1-1-1111-11-1-11-111-1-111111-1-1-1-1111-11-1-11-111-1-111111-1-1-1-1111-11-1-11-111-1-111111-1-1-1-1111-11-1-11-111-1-111111-1-1-1-1111-11-1-11-111-1-111111-1-1-1-1111-11-1-11-111-1-11
χ141111-1-1-1-1111-1-111-1-11-111-11111-1-1-1-1111-1-111-1-11-111-11111-1-1-1-1111-1-111-1-11-111-11111-1-1-1-1111-1-111-1-11-111-11111-1-1-1-1111-1-111-1-11-111-11111-1-1-1-1111-1-111-1-11-111-11111-1-1-1-1111-1-111-1-11-111-11111-1-1-1-1111-1-111-1-11-111-11111-1-1-1-1111-1-111-1-11-111-1
χ151111-1-1-1-111-111-1-111-1-111-11111-1-1-1-111-111-1-111-1-111-11111-1-1-1-111-111-1-111-1-111-11111-1-1-1-111-111-1-111-1-111-11111-1-1-1-111-111-1-111-1-111-11111-1-1-1-111-111-1-111-1-111-11111-1-1-1-111-111-1-111-1-111-11111-1-1-1-111-111-1-111-1-111-11111-1-1-1-111-111-1-111-1-111-1
χ161111-1-1-1-111-11-111-11-11-1-111111-1-1-1-111-11-111-11-11-1-111111-1-1-1-111-11-111-11-11-1-111111-1-1-1-111-11-111-11-11-1-111111-1-1-1-111-11-111-11-11-1-111111-1-1-1-111-11-111-11-11-1-111111-1-1-1-111-11-111-11-11-1-111111-1-1-1-111-11-111-11-11-1-111111-1-1-1-111-11-111-11-11-1-11
χ172-2-222-22-22-20000000000002-2-222-22-22-20000000000002-2-222-22-22-20000000000002-2-222-22-22-20000000000002-2-222-22-22-20000000000002-2-222-22-22-20000000000002-2-222-22-22-20000000000002-2-222-22-22-20000000000002-2-222-22-22-2000000000000
χ182-2-222-2-22-220000000000002-2-222-2-22-220000000000002-2-222-2-22-220000000000002-2-222-2-22-220000000000002-2-222-2-22-220000000000002-2-222-2-22-220000000000002-2-222-2-22-220000000000002-2-222-2-22-220000000000002-2-222-2-22-22000000000000
χ192-2-22-222-2-220000000000002-2-22-222-2-220000000000002-2-22-222-2-220000000000002-2-22-222-2-220000000000002-2-22-222-2-220000000000002-2-22-222-2-220000000000002-2-22-222-2-220000000000002-2-22-222-2-220000000000002-2-22-222-2-22000000000000
χ202-2-22-22-222-20000000000002-2-22-22-222-20000000000002-2-22-22-222-20000000000002-2-22-22-222-20000000000002-2-22-22-222-20000000000002-2-22-22-222-20000000000002-2-22-22-222-20000000000002-2-22-22-222-20000000000002-2-22-22-222-2000000000000
χ2144-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-4000000000000000000
χ224-44-40000000000000000004-44-40000000000000000004-44-40000000000000000004-44-40000000000000000004-44-40000000000000000004-44-40000000000000000004-44-40000000000000000004-44-40000000000000000004-44-4000000000000000000
χ2311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ24111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ251111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ261111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ27111111-1-1-1-11-111-1-11-111-1-1111111-1-1-1-11-111-1-11-111-1-1111111-1-1-1-11-111-1-11-111-1-1111111-1-1-1-11-111-1-11-111-1-1111111-1-1-1-11-111-1-11-111-1-1111111-1-1-1-11-111-1-11-111-1-1111111-1-1-1-11-111-1-11-111-1-1111111-1-1-1-11-111-1-11-111-1-1-1-1-1-1-1-11111-11-1-111-11-1-111
χ28111111-1-1-1-11-1-1-1111-1-1-111111111-1-1-1-11-1-1-1111-1-1-111111111-1-1-1-11-1-1-1111-1-1-111111111-1-1-1-11-1-1-1111-1-1-111111111-1-1-1-11-1-1-1111-1-1-111111111-1-1-1-11-1-1-1111-1-1-111111111-1-1-1-11-1-1-1111-1-1-111111111-1-1-1-11-1-1-1111-1-1-111-1-1-1-1-1-11111-1111-1-1-1111-1-1
χ29111111-1-1-1-1-1111-1-1-11-1-111111111-1-1-1-1-1111-1-1-11-1-111111111-1-1-1-1-1111-1-1-11-1-111111111-1-1-1-1-1111-1-1-11-1-111111111-1-1-1-1-1111-1-1-11-1-111111111-1-1-1-1-1111-1-1-11-1-111111111-1-1-1-1-1111-1-1-11-1-111111111-1-1-1-1-1111-1-1-11-1-111-1-1-1-1-1-111111-1-1-1111-111-1-1
χ30111111-1-1-1-1-11-1-111-1111-1-1111111-1-1-1-1-11-1-111-1111-1-1111111-1-1-1-1-11-1-111-1111-1-1111111-1-1-1-1-11-1-111-1111-1-1111111-1-1-1-1-11-1-111-1111-1-1111111-1-1-1-1-11-1-111-1111-1-1111111-1-1-1-1-11-1-111-1111-1-1111111-1-1-1-1-11-1-111-1111-1-1-1-1-1-1-1-111111-111-1-11-1-1-111
χ311111-1-111-1-1111-11-1-1-11-11-11111-1-111-1-1111-11-1-1-11-11-11111-1-111-1-1111-11-1-1-11-11-11111-1-111-1-1111-11-1-1-11-11-11111-1-111-1-1111-11-1-1-11-11-11111-1-111-1-1111-11-1-1-11-11-11111-1-111-1-1111-11-1-1-11-11-11111-1-111-1-1111-11-1-1-11-11-1-1-1-1-111-1-111-1-1-11-1111-11-11
χ321111-1-111-1-111-11-11-1-1-11-111111-1-111-1-111-11-11-1-1-11-111111-1-111-1-111-11-11-1-1-11-111111-1-111-1-111-11-11-1-1-11-111111-1-111-1-111-11-11-1-1-11-111111-1-111-1-111-11-11-1-1-11-111111-1-111-1-111-11-11-1-1-11-111111-1-111-1-111-11-11-1-1-11-11-1-1-1-111-1-111-1-11-11-1111-11-1
χ331111-1-111-1-1-1-11-11-111-11-111111-1-111-1-1-1-11-11-111-11-111111-1-111-1-1-1-11-11-111-11-111111-1-111-1-1-1-11-11-111-11-111111-1-111-1-1-1-11-11-111-11-111111-1-111-1-1-1-11-11-111-11-111111-1-111-1-1-1-11-11-111-11-111111-1-111-1-1-1-11-11-111-11-11-1-1-1-111-1-11111-11-11-1-11-11-1
χ341111-1-111-1-1-1-1-11-11111-11-11111-1-111-1-1-1-1-11-11111-11-11111-1-111-1-1-1-1-11-11111-11-11111-1-111-1-1-1-1-11-11111-11-11111-1-111-1-1-1-1-11-11111-11-11111-1-111-1-1-1-1-11-11111-11-11111-1-111-1-1-1-1-11-11111-11-11111-1-111-1-1-1-1-11-11111-11-1-1-1-1-111-1-111111-11-1-1-1-11-11
χ351111-1-1-1-1111-11-1-11-111-1-111111-1-1-1-1111-11-1-11-111-1-111111-1-1-1-1111-11-1-11-111-1-111111-1-1-1-1111-11-1-11-111-1-111111-1-1-1-1111-11-1-11-111-1-111111-1-1-1-1111-11-1-11-111-1-111111-1-1-1-1111-11-1-11-111-1-111111-1-1-1-1111-11-1-11-111-1-11-1-1-1-11111-1-1-11-111-11-1-111-1
χ361111-1-1-1-1111-1-111-1-11-111-11111-1-1-1-1111-1-111-1-11-111-11111-1-1-1-1111-1-111-1-11-111-11111-1-1-1-1111-1-111-1-11-111-11111-1-1-1-1111-1-111-1-11-111-11111-1-1-1-1111-1-111-1-11-111-11111-1-1-1-1111-1-111-1-11-111-11111-1-1-1-1111-1-111-1-11-111-1-1-1-1-11111-1-1-111-1-111-11-1-11
χ371111-1-1-1-111-111-1-111-1-111-11111-1-1-1-111-111-1-111-1-111-11111-1-1-1-111-111-1-111-1-111-11111-1-1-1-111-111-1-111-1-111-11111-1-1-1-111-111-1-111-1-111-11111-1-1-1-111-111-1-111-1-111-11111-1-1-1-111-111-1-111-1-111-11111-1-1-1-111-111-1-111-1-111-1-1-1-1-11111-1-11-1-111-1-111-1-11
χ381111-1-1-1-111-11-111-11-11-1-111111-1-1-1-111-11-111-11-11-1-111111-1-1-1-111-11-111-11-11-1-111111-1-1-1-111-11-111-11-11-1-111111-1-1-1-111-11-111-11-11-1-111111-1-1-1-111-11-111-11-11-1-111111-1-1-1-111-11-111-11-11-1-111111-1-1-1-111-11-111-11-11-1-11-1-1-1-11111-1-11-11-1-11-11-111-1
χ392-2-222-22-22-20000000000002-2-222-22-22-20000000000002-2-222-22-22-20000000000002-2-222-22-22-20000000000002-2-222-22-22-20000000000002-2-222-22-22-20000000000002-2-222-22-22-20000000000002-2-222-22-22-2000000000000-222-2-22-22-22000000000000
χ402-2-222-2-22-220000000000002-2-222-2-22-220000000000002-2-222-2-22-220000000000002-2-222-2-22-220000000000002-2-222-2-22-220000000000002-2-222-2-22-220000000000002-2-222-2-22-220000000000002-2-222-2-22-22000000000000-222-2-222-22-2000000000000
χ412-2-22-222-2-220000000000002-2-22-222-2-220000000000002-2-22-222-2-220000000000002-2-22-222-2-220000000000002-2-22-222-2-220000000000002-2-22-222-2-220000000000002-2-22-222-2-220000000000002-2-22-222-2-22000000000000-222-22-2-222-2000000000000
χ422-2-22-22-222-20000000000002-2-22-22-222-20000000000002-2-22-22-222-20000000000002-2-22-22-222-20000000000002-2-22-22-222-20000000000002-2-22-22-222-20000000000002-2-22-22-222-20000000000002-2-22-22-222-2000000000000-222-22-22-2-22000000000000
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χ1944-4-444-4-44-44000000000000-222-2-222-22-2000000000000−1−51+51+5−1−5−1−51+51+5−1−51+5−1−5000000000000−1+51−51−5−1+5−1+51−51−5−1+51−5−1+50000000000002ζ+2ζ14−2ζ−2ζ14−2ζ−2ζ142ζ+2ζ142ζ+2ζ14−2ζ−2ζ14−2ζ−2ζ142ζ+2ζ14−2ζ−2ζ142ζ+2ζ140000000000002ζ4+2ζ11−2ζ4−2ζ11−2ζ4−2ζ112ζ4+2ζ112ζ4+2ζ11−2ζ4−2ζ11−2ζ4−2ζ112ζ4+2ζ11−2ζ4−2ζ112ζ4+2ζ110000000000002ζ2+2ζ13−2ζ2−2ζ13−2ζ2−2ζ132ζ2+2ζ132ζ2+2ζ13−2ζ2−2ζ13−2ζ2−2ζ132ζ2+2ζ13−2ζ2−2ζ132ζ2+2ζ130000000000002ζ7+2ζ8−2ζ7−2ζ8−2ζ7−2ζ82ζ7+2ζ82ζ7+2ζ8−2ζ7−2ζ8−2ζ7−2ζ82ζ7+2ζ8−2ζ7−2ζ82ζ7+2ζ80000000000000000000000000000000000
χ1954-4-44-444-4-44000000000000-222-22-2-222-2000000000000−1−51+51+5−1−51+5−1−5−1−51+51+5−1−5000000000000−1+51−51−5−1+51−5−1+5−1+51−51−5−1+50000000000002ζ+2ζ14−2ζ−2ζ14−2ζ−2ζ142ζ+2ζ14−2ζ−2ζ142ζ+2ζ142ζ+2ζ14−2ζ−2ζ14−2ζ−2ζ142ζ+2ζ140000000000002ζ4+2ζ11−2ζ4−2ζ11−2ζ4−2ζ112ζ4+2ζ11−2ζ4−2ζ112ζ4+2ζ112ζ4+2ζ11−2ζ4−2ζ11−2ζ4−2ζ112ζ4+2ζ110000000000002ζ2+2ζ13−2ζ2−2ζ13−2ζ2−2ζ132ζ2+2ζ13−2ζ2−2ζ132ζ2+2ζ132ζ2+2ζ13−2ζ2−2ζ13−2ζ2−2ζ132ζ2+2ζ130000000000002ζ7+2ζ8−2ζ7−2ζ8−2ζ7−2ζ82ζ7+2ζ8−2ζ7−2ζ82ζ7+2ζ82ζ7+2ζ8−2ζ7−2ζ8−2ζ7−2ζ82ζ7+2ζ80000000000000000000000000000000000
χ1964-4-44-44-444-4000000000000-222-22-22-2-22000000000000−1−51+51+5−1−51+5−1−51+5−1−5−1−51+5000000000000−1+51−51−5−1+51−5−1+51−5−1+5−1+51−50000000000002ζ+2ζ14−2ζ−2ζ14−2ζ−2ζ142ζ+2ζ14−2ζ−2ζ142ζ+2ζ14−2ζ−2ζ142ζ+2ζ142ζ+2ζ14−2ζ−2ζ140000000000002ζ4+2ζ11−2ζ4−2ζ11−2ζ4−2ζ112ζ4+2ζ11−2ζ4−2ζ112ζ4+2ζ11−2ζ4−2ζ112ζ4+2ζ112ζ4+2ζ11−2ζ4−2ζ110000000000002ζ2+2ζ13−2ζ2−2ζ13−2ζ2−2ζ132ζ2+2ζ13−2ζ2−2ζ132ζ2+2ζ13−2ζ2−2ζ132ζ2+2ζ132ζ2+2ζ13−2ζ2−2ζ130000000000002ζ7+2ζ8−2ζ7−2ζ8−2ζ7−2ζ82ζ7+2ζ8−2ζ7−2ζ82ζ7+2ζ8−2ζ7−2ζ82ζ7+2ζ82ζ7+2ζ8−2ζ7−2ζ80000000000000000000000000000000000
χ19788-8-8000000000000000000-4-444000000000000000000−2−25−2−252+252+25000000000000000000−2+25−2+252−252−250000000000000000004ζ+4ζ144ζ+4ζ14−4ζ−4ζ14−4ζ−4ζ140000000000000000004ζ4+4ζ114ζ4+4ζ11−4ζ4−4ζ11−4ζ4−4ζ110000000000000000004ζ2+4ζ134ζ2+4ζ13−4ζ2−4ζ13−4ζ2−4ζ130000000000000000004ζ7+4ζ84ζ7+4ζ8−4ζ7−4ζ8−4ζ7−4ζ80000000000000000000000000000000000000000
χ1988-88-8000000000000000000-44-44000000000000000000−2−252+25−2−252+25000000000000000000−2+252−25−2+252−250000000000000000004ζ+4ζ14−4ζ−4ζ144ζ+4ζ14−4ζ−4ζ140000000000000000004ζ4+4ζ11−4ζ4−4ζ114ζ4+4ζ11−4ζ4−4ζ110000000000000000004ζ2+4ζ13−4ζ2−4ζ134ζ2+4ζ13−4ζ2−4ζ130000000000000000004ζ7+4ζ8−4ζ7−4ζ84ζ7+4ζ8−4ζ7−4ζ80000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 15 (ζ15 = 1).