Finite Group Databasebeta

← Group #13160348

Character table — Group #13160348

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size11112222222222222222222222444444444444444444444444444444444444444444121212121212121212121212121212121212363636363636545454541111222222222222222222222244444444444444444444444444444444444444444412121212121212121212121212121212121236363636363654545454
order12223333344666666666666666333366666666666612121212121212121212121212121212121212121212121212124412121212121212121212121212121212441212121288882222666664466666666666666666666666666666661212121212121212121212121212121212121212121212121212441212121212121212121212121212121244121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51-1-11111111-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11-111111111-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−i1-111-1-1ii−i−i1-1-11111111-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11-111111111-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−i1-111-1-1ii−i−i
χ61-1-11111111-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11-111111111-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−i-11-1-111−i−iii1-1-11111111-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11-111111111-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−i-11-1-111−i−iii
χ71-1-11111111-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11-111111111-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii1-111-1-1−i−iii1-1-11111111-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11-111111111-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii1-111-1-1−i−iii
χ81-1-11111111-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11-111111111-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii-11-1-111ii−i−i1-1-11111111-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11-111111111-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii-11-1-111ii−i−i
χ9222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ1022222222-1222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-1000022222222-1222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-10000
χ1122222222-1222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-21111000022222222-1222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-211110000
χ1222222222-1-2-22222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111100000000000000000000−i3i3−i3i3000022222222-1-2-22222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111100000000000000000000−i3i3−i3i30000
χ1322222222-1-2-22222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111100000000000000000000i3−i3i3−i3000022222222-1-2-22222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111100000000000000000000i3−i3i3−i30000
χ1422222-1-1-12222-1-1-1222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1000000000022222-1-1-12222-1-1-1222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-10000000000
χ1522222-1-1-12222-1-1-1222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-2111111000000000022222-1-1-12222-1-1-1222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-21111110000000000
χ1622222-1-1-12-2-22-1-1-1222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2111-2111-2-2-2-2111111-2-21111110000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000000022222-1-1-12-2-22-1-1-1222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2111-2111-2-2-2-2111111-2-21111110000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i30000000000
χ1722222-1-1-12-2-22-1-1-1222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2111-2111-2-2-2-2111111-2-21111110000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3000000000022222-1-1-12-2-22-1-1-1222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2111-2111-2-2-2-2111111-2-21111110000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i30000000000
χ182222-12-1-1222-12-1-122-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-122-1-12-1-12-1-1-1-12-1-12-1-100000000002222-12-1-1222-12-1-122-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-122-1-12-1-12-1-1-1-12-1-12-1-10000000000
χ192222-12-1-1222-12-1-122-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-2-211-211-21111-211-21100000000002222-12-1-1222-12-1-122-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-2-211-211-21111-211-2110000000000
χ202222-12-1-12-2-2-12-1-122-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-11-2111-211-2-211-2-2111111-2-2111100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i300000000002222-12-1-12-2-2-12-1-122-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-11-2111-211-2-211-2-2111111-2-2111100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30000000000
χ212222-12-1-12-2-2-12-1-122-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-11-2111-211-2-211-2-2111111-2-2111100i3−i30i3−i30i3−i3i3−i30i3−i30i3−i300000000002222-12-1-12-2-2-12-1-122-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-11-2111-211-2-211-2-2111111-2-2111100i3−i30i3−i30i3−i3i3−i30i3−i30i3−i30000000000
χ222222-1-12-1222-1-12-122-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-122-1-1-12-1-1-12-1-1-12-1-1-1200000000002222-1-12-1222-1-12-122-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-122-1-1-12-1-1-12-1-1-12-1-1-120000000000
χ232222-1-12-1222-1-12-122-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-2-2111-2111-2111-2111-200000000002222-1-12-1222-1-12-122-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-2-2111-2111-2111-2111-20000000000
χ242222-1-12-12-2-2-1-12-122-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-111-2111-21-2-21111-2-2111111-2-21100−i3i3i30−i3−i3i30−i3i3i30−i3−i3i3000000000002222-1-12-12-2-2-1-12-122-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-111-2111-21-2-21111-2-2111111-2-21100−i3i3i30−i3−i3i30−i3i3i30−i3−i3i300000000000
χ252222-1-12-12-2-2-1-12-122-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-111-2111-21-2-21111-2-2111111-2-21100i3−i3−i30i3i3−i30i3−i3−i30i3i3−i3000000000002222-1-12-12-2-2-1-12-122-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-111-2111-21-2-21111-2-2111111-2-21100i3−i3−i30i3i3−i30i3−i3−i30i3i3−i300000000000
χ262222-1-1-12222-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-12-12-1-1-1-1-12-12-100000000002222-1-1-12222-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-12-12-1-1-1-1-12-12-10000000000
χ272222-1-1-12222-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-2-21111-21-211111-21-2100000000002222-1-1-12222-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-2-21111-21-211111-21-210000000000
χ282222-1-1-122-2-2-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12111-2111-2-2-2111111-2-2111111-2-200−i3i3−i3i30i30−i3−i3i3−i3i30i30−i300000000002222-1-1-122-2-2-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12111-2111-2-2-2111111-2-2111111-2-200−i3i3−i3i30i30−i3−i3i3−i3i30i30−i30000000000
χ292222-1-1-122-2-2-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12111-2111-2-2-2111111-2-2111111-2-200i3−i3i3−i30−i30i3i3−i3i3−i30−i30i300000000002222-1-1-122-2-2-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12111-2111-2-2-2111111-2-2111111-2-200i3−i3i3−i30−i30i3i3−i3i3−i30−i30i30000000000
χ3022-2-2222220022222-2-2-2-2-2-2-2-2-2-222222-22-22-22-2-2-2-2-2000000000000000000000000000000000000000000000000002−22−222-2-2222220022222-2-2-2-2-2-2-2-2-2-222222-22-22-22-2-2-2-2-2000000000000000000000000000000000000000000000000002−22−2
χ3122-2-2222220022222-2-2-2-2-2-2-2-2-2-222222-22-22-22-2-2-2-2-200000000000000000000000000000000000000000000000000−22−2222-2-2222220022222-2-2-2-2-2-2-2-2-2-222222-22-22-22-2-2-2-2-200000000000000000000000000000000000000000000000000−22−22
χ322-22-22222200-2-2-2-2-22-2-2-2-22222-22222-22-22-22-22-2-2-2-200000000000000000000000000000000000000000000000000−i2i2i2−i22-22-22222200-2-2-2-2-22-2-2-2-22222-22222-22-22-22-22-2-2-2-200000000000000000000000000000000000000000000000000−i2i2i2−i2
χ332-22-22222200-2-2-2-2-22-2-2-2-22222-22222-22-22-22-22-2-2-2-200000000000000000000000000000000000000000000000000i2−i2−i2i22-22-22222200-2-2-2-2-22-2-2-2-22222-22222-22-22-22-22-2-2-2-200000000000000000000000000000000000000000000000000i2−i2−i2i2
χ342-2-2222222-22-2-2-2-2-2-22222-2-2-2-222222-2-2-2-2-2-2-2-22222-2-2-2-22222-22-2-2-2-2-2-2-2-22222222200000000000000000000000000002-2-2222222-22-2-2-2-2-2-22222-2-2-2-222222-2-2-2-2-2-2-2-22222-2-2-2-22222-22-2-2-2-2-2-2-2-2222222220000000000000000000000000000
χ352-2-222222-12-2-2-2-2-2112222-2-2-2-2-1-1-1-1-111111111-1-1-1-12222-2-2-2-2-11-1-1-1-1-1-1-1-1111111110000000000000000002-2-1-11100002-2-222222-12-2-2-2-2-2112222-2-2-2-2-1-1-1-1-111111111-1-1-1-12222-2-2-2-2-11-1-1-1-1-1-1-1-1111111110000000000000000002-2-1-1110000
χ362-2-222222-12-2-2-2-2-2112222-2-2-2-2-1-1-1-1-111111111-1-1-1-12222-2-2-2-2-11-1-1-1-1-1-1-1-111111111000000000000000000-2211-1-100002-2-222222-12-2-2-2-2-2112222-2-2-2-2-1-1-1-1-111111111-1-1-1-12222-2-2-2-2-11-1-1-1-1-1-1-1-111111111000000000000000000-2211-1-10000
χ372-2-222222-1-22-2-2-2-2112222-2-2-2-2-1-1-1-1-111111111-1-1-1-1-2-2-2-222221-111111111-1-1-1-1-1-1-1-100000000000000000000−i3i3i3−i300002-2-222222-1-22-2-2-2-2112222-2-2-2-2-1-1-1-1-111111111-1-1-1-1-2-2-2-222221-111111111-1-1-1-1-1-1-1-100000000000000000000−i3i3i3−i30000
χ382-2-222222-1-22-2-2-2-2112222-2-2-2-2-1-1-1-1-111111111-1-1-1-1-2-2-2-222221-111111111-1-1-1-1-1-1-1-100000000000000000000i3−i3−i3i300002-2-222222-1-22-2-2-2-2112222-2-2-2-2-1-1-1-1-111111111-1-1-1-1-2-2-2-222221-111111111-1-1-1-1-1-1-1-100000000000000000000i3−i3−i3i30000
χ392-2-222-1-1-122-2-2111-2-22-1-1-1-211122-1-1-1-2-21111112-1-1-12-1-1-1-21112-222-1-1-1-1-1-1-2-21111112i−2i2i2i−i−i−i−i−i−i−2i−2iiiiiii00000000002-2-222-1-1-122-2-2111-2-22-1-1-1-211122-1-1-1-2-21111112-1-1-12-1-1-1-21112-222-1-1-1-1-1-1-2-21111112i−2i2i2i−i−i−i−i−i−i−2i−2iiiiiii0000000000
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χ1814-44-4-2-24-2-20022-422-222-42-2-24-2211-21-11-112-2-11-1-12-10000000000−3i3i3i−3i00−3i3i3i−3i−3i3i003i−3i0000000000000000000000000000-44-4422-42200-2-24-2-22-2-24-222-42-2-1-12-11-11-1-221-111-2100000000003i−3i−3i3i003i−3i−3i3i3i−3i00−3i3i0000000000000000000000000000
χ1824-44-4-2-2-24400222-4-44222-4-2-2-24-4-2-2-242-22-22-2-44222-4000000000000000000000000000000000000000000000000000000-44-44222-4-400-2-2-244-4-2-2-24222-44222-4-22-22-224-4-2-2-24000000000000000000000000000000000000000000000000000000
χ1834-44-4-2-2-24-200222-42-2222-4-2-2-242111-2-11-11-112-2-1-1-1200000000003i−3i3i−3i−3i3i00−3i3i−3i3i3i−3i000000000000000000000000000000-44-44222-4200-2-2-24-22-2-2-24222-4-2-1-1-121-11-11-1-22111-20000000000−3i3i−3i3i3i−3i003i−3i3i−3i−3i3i000000000000000000000000000000
χ1844-44-4-2-2-24-200222-42-2222-4-2-2-242111-2-11-11-112-2-1-1-120000000000−3i3i−3i3i3i−3i003i−3i3i−3i−3i3i000000000000000000000000000000-44-44222-4200-2-2-24-22-2-2-24222-4-2-1-1-121-11-11-1-22111-200000000003i−3i3i−3i−3i3i00−3i3i−3i3i3i−3i000000000000000000000000000000
χ1854-4-444-2-2-2-24-4-4222224-2-2-2-4222-2-211122-1-1-1-1-1-1-21114-2-2-2-4222-22-2-211111122-1-1-1-1-1-10000000000000000000000000000-444-4-42222-444-2-2-2-2-2-42224-2-2-222-1-1-1-2-21111112-1-1-1-42224-2-2-22-222-1-1-1-1-1-1-2-21111110000000000000000000000000000
χ1864-4-444-2-2-2-2-44-4222224-2-2-2-4222-2-211122-1-1-1-1-1-1-2111-42224-2-2-22-222-1-1-1-1-1-1-2-21111110000000000000000000000000000-444-4-422224-44-2-2-2-2-2-42224-2-2-222-1-1-1-2-21111112-1-1-14-2-2-2-4222-22-2-211111122-1-1-1-1-1-10000000000000000000000000000
χ1874-4-44-24-2-2-24-42-42222-24-2-22-422-21-211-1-122-1-1-1-11-211-24-2-22-422-2211-2-21111-1-122-1-1-1-10000000000000000000000000000-444-42-4222-44-24-2-2-2-22-422-24-2-22-12-1-111-2-21111-12-1-12-422-24-2-22-2-1-122-1-1-1-111-2-211110000000000000000000000000000
χ1884-4-44-24-2-2-2-442-42222-24-2-22-422-21-211-1-122-1-1-1-11-2112-422-24-2-22-2-1-122-1-1-1-111-2-211110000000000000000000000000000-444-42-42224-4-24-2-2-2-22-422-24-2-22-12-1-111-2-21111-12-1-1-24-2-22-422-2211-2-21111-1-122-1-1-1-10000000000000000000000000000
χ1894-4-44-2-24-2-24-422-4222-2-24-222-42-211-21-1-1-1-122-1-111-21-2-24-222-42-221111-2-211-1-1-1-122-1-10000000000000000000000000000-444-422-422-44-2-24-2-2-222-42-2-24-22-1-12-11111-2-211-1-12-122-42-2-24-22-2-1-1-1-122-1-11111-2-2110000000000000000000000000000
χ1904-4-44-2-24-2-2-4422-4222-2-24-222-42-211-21-1-1-1-122-1-111-2122-42-2-24-22-2-1-1-1-122-1-11111-2-2110000000000000000000000000000-444-422-4224-4-2-24-2-2-222-42-2-24-22-1-12-11111-2-211-1-12-1-2-24-222-42-221111-2-211-1-1-1-122-1-10000000000000000000000000000
χ1914-4-44-2-2-24-24-4222-422-2-2-24222-4-2111-2-1-1-1-1-1-122111-2-2-2-24222-4-22111111-2-2-1-1-1-1-1-1220000000000000000000000000000-444-4222-42-44-2-2-24-2-2222-4-2-2-242-1-1-12111111-2-2-1-1-12222-4-2-2-242-2-1-1-1-1-1-122111111-2-20000000000000000000000000000
χ1924-4-44-2-2-24-2-44222-422-2-2-24222-4-2111-2-1-1-1-1-1-122111-2222-4-2-2-242-2-1-1-1-1-1-122111111-2-20000000000000000000000000000-444-4222-424-4-2-2-24-2-2222-4-2-2-242-1-1-12111111-2-2-1-1-12-2-2-24222-4-22111111-2-2-1-1-1-1-1-1220000000000000000000000000000

Here i is the imaginary unit (i² = −1).