Finite Group Databasebeta

← Group #11801996

Character table — Group #11801996

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222223333333344444444444444444444444444446666666666666666666688888888888888881212121212121212121212121212121212121212121212121212121218181818181818182424242436363636
order122222222222336666666666666644444444223446666666666666666666121212124444444444441212121212121212666666666612121212121244444444121212121212121212121212121212121212121222222222121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-11-1-111111111-1-1-1-11111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-11-1-111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ911111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ1111111111-1-1-1-1111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ1211111111-1-1-1-1111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1311111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1411111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ1511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-11111-1-1
χ1611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111
χ1711-1-1-111-111-1-1111111-1-1-111-1-1-1-1-1iiii−i−i−i−i1-111-11111-1-1-1-111-1-111-1-1-1-1111-1-1ii−i−iii−i−iii−i−iiiii−i−i−i−i1-111-1-111-1-11-111-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-1i−ii−i1-11-1
χ1811-1-1-111-111-1-1111111-1-1-111-1-1-1-1-1iiii−i−i−i−i1-111-11111-1-1-1-111-1-111-1-1-1-1111-1-1ii−i−i−i−iii−i−iiiiiii−i−i−i−i1-111-1-111-1-11-111-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−iii−i−i-1-111-1-111−ii−ii-11-11
χ1911-1-1-111-111-1-1111111-1-1-111-1-1-1-1-1iiii−i−i−i−i-111-111111-1-1-1-1-1-11111-1-1-1-11-1-111ii−i−iii−i−iii−i−iiiii−i−i−i−i-1111-1-1-1-111-11-1-111−ii−ii−ii−ii−i−iiiii−i−iii−i−iii−i−i−i−iii11-1-111-1-1−ii−ii-11-11
χ2011-1-1-111-111-1-1111111-1-1-111-1-1-1-1-1iiii−i−i−i−i-111-111111-1-1-1-1-1-11111-1-1-1-11-1-111ii−i−i−i−iii−i−iiiiiii−i−i−i−i-1111-1-1-1-111-11-1-111−iii−ii−i−ii−i−iii−i−iii−i−iiiii−i−i−i−iii-1-111-1-111i−ii−i1-11-1
χ2111-1-1-111-111-1-1111111-1-1-111-1-1-1-1-1−i−i−i−iiiii1-111-11111-1-1-1-111-1-111-1-1-1-1111-1-1−i−iiiii−i−iii−i−i−i−i−i−iiiii1-111-1-111-1-11-111-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii−i−iii-1-111-1-111i−ii−i-11-11
χ2211-1-1-111-111-1-1111111-1-1-111-1-1-1-1-1−i−i−i−iiiii1-111-11111-1-1-1-111-1-111-1-1-1-1111-1-1−i−iii−i−iii−i−iii−i−i−i−iiiii1-111-1-111-1-11-111-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−ii−ii1-11-1
χ2311-1-1-111-111-1-1111111-1-1-111-1-1-1-1-1−i−i−i−iiiii-111-111111-1-1-1-1-1-11111-1-1-1-11-1-111−i−iiiii−i−iii−i−i−i−i−i−iiiii-1111-1-1-1-111-11-1-111i−i−ii−iii−iii−i−iii−i−iii−i−i−i−iiiii−i−i-1-111-1-111−ii−ii1-11-1
χ2411-1-1-111-111-1-1111111-1-1-111-1-1-1-1-1−i−i−i−iiiii-111-111111-1-1-1-1-1-11111-1-1-1-11-1-111−i−iii−i−iii−i−iii−i−i−i−iiiii-1111-1-1-1-111-11-1-111i−ii−ii−ii−iii−i−i−i−iii−i−iii−i−iiiii−i−i11-1-111-1-1i−ii−i-11-11
χ2511-1-1-111-1-1-111111111-1-1-111-1-1-1-1-1iiii−i−i−i−i1-11-11-1-1-1-1111111-1-111-1-1-1-11-1-111−i−iiiii−i−i−i−iiiiiii−i−i−i−i1-1-1-11111-1-1-11-1-111−iii−i−iii−i−i−iiiii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111i−i−ii1-1-11
χ2611-1-1-111-1-1-111111111-1-1-111-1-1-1-1-1iiii−i−i−i−i1-11-11-1-1-1-1111111-1-111-1-1-1-11-1-111−i−iii−i−iiiii−i−iiiii−i−i−i−i1-1-1-11111-1-1-11-1-111−ii−iii−ii−i−i−iii−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1−iii−i-111-1
χ2711-1-1-111-1-1-111111111-1-1-111-1-1-1-1-1iiii−i−i−i−i-1111-1-1-1-1-11111-1-11111-1-1-1-1111-1-1−i−iiiii−i−i−i−iiiiiii−i−i−i−i-11-1-111-1-1111-111-1-1i−i−iii−i−iiii−i−iii−i−i−i−iii−i−iii−i−iii11-1-1-1-111−iii−i-111-1
χ2811-1-1-111-1-1-111111111-1-1-111-1-1-1-1-1iiii−i−i−i−i-1111-1-1-1-1-11111-1-11111-1-1-1-1111-1-1−i−iii−i−iiiii−i−iiiii−i−i−i−i-11-1-111-1-1111-111-1-1i−ii−i−ii−iiii−i−i−i−iiiii−i−i−i−iii−i−iii-1-11111-1-1i−i−ii1-1-11
χ2911-1-1-111-1-1-111111111-1-1-111-1-1-1-1-1−i−i−i−iiiii1-11-11-1-1-1-1111111-1-111-1-1-1-11-1-111ii−i−iii−i−i−i−iii−i−i−i−iiiii1-1-1-11111-1-1-11-1-111i−ii−i−ii−iiii−i−iii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1i−i−ii-111-1
χ3011-1-1-111-1-1-111111111-1-1-111-1-1-1-1-1−i−i−i−iiiii1-11-11-1-1-1-1111111-1-111-1-1-1-11-1-111ii−i−i−i−iiiii−i−i−i−i−i−iiiii1-1-1-11111-1-1-11-1-111i−i−iii−i−iiii−i−i−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111−iii−i1-1-11
χ3111-1-1-111-1-1-111111111-1-1-111-1-1-1-1-1−i−i−i−iiiii-1111-1-1-1-1-11111-1-11111-1-1-1-1111-1-1ii−i−iii−i−i−i−iii−i−i−i−iiiii-11-1-111-1-1111-111-1-1−ii−iii−ii−i−i−iiiii−i−i−i−iiiii−i−iii−i−i-1-11111-1-1−iii−i1-1-11
χ3211-1-1-111-1-1-111111111-1-1-111-1-1-1-1-1−i−i−i−iiiii-1111-1-1-1-1-11111-1-11111-1-1-1-1111-1-1ii−i−i−i−iiiii−i−i−i−i−i−iiiii-11-1-111-1-1111-111-1-1−iii−i−iii−i−i−iii−i−iiiii−i−iii−i−iii−i−i11-1-1-1-111i−i−ii-111-1
χ332222222222222-122-1-122-12-12-1-1-120000000022-12222-1-122-1-12222-1-1-1-1-1-1-1222200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002222000000-1-1-1-1-1-1-1-10000000000000000-1-1-1-10000
χ342222222222222-122-1-122-12-12-1-1-120000000022-12222-1-122-1-12222-1-1-1-1-1-1-122220000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200000011111111000000000000000011110000
χ352222222222222-122-1-122-12-12-1-1-1200000000-2-2-1-2-222-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000222222220000000011-1-1-1-1111111111100-2-2-2-2000000-1-1-1-1-1-1-1-1000000000000000011110000
χ362222222222222-122-1-122-12-12-1-1-1200000000-2-2-1-2-222-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-2-2-2-20000000011-1-1-1-11111111111002222000000111111110000000000000000-1-1-1-10000
χ37222222222222-12-1-122-1-12-12-1222-12222222222-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122000022-1-1-1-100000000-1-1-1-1-1-1-1-10000000000000000
χ38222222222222-12-1-122-1-12-12-1222-122222222-2-2-1-2-2-1-122-1-1221111-1-1-1-1-1-1-11111222200000000-1-1-1-1-1-1-1-1-2-2-1-1-1-11111-2-21111-2-20000-2-2111100000000-1-1-1-111110000000000000000
χ39222222222222-12-1-122-1-12-12-1222-1-2-2-2-2-2-2-2-222-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000001111111122-1-1-1-1-1-1-1-122-1-1-1-1-2-20000-2-2111100000000111111110000000000000000
χ40222222222222-12-1-122-1-12-12-1222-1-2-2-2-2-2-2-2-2-2-2-1-2-2-1-122-1-1221111-1-1-1-1-1-1-11111-2-2-2-20000000011111111-2-2-1-1-1-11111-2-2111122000022-1-1-1-1000000001111-1-1-1-10000000000000000
χ4122222222-2-2-2-22-122-1-122-12-12-1-1-120000000022-1-2-2-2-211-2-2112222-1-1-1-1-1-1-1-2-2-2-200002222-2-2-2-200000000-1-11111-1-1-1-11111110022-2-2000000-1-1-1-111110000000000000000-1-1110000
χ4222222222-2-2-2-22-122-1-122-12-12-1-1-120000000022-1-2-2-2-211-2-2112222-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2222200000000-1-11111-1-1-1-111111100-2-2220000001111-1-1-1-1000000000000000011-1-10000
χ4322222222-2-2-2-22-122-1-122-12-12-1-1-1200000000-2-2-122-2-211-2-211-2-2-2-2-1-1-1-1-1-1-1222200002222-2-2-2-2000000001111111111-1-1-1-1-1-100-2-222000000-1-1-1-11111000000000000000011-1-10000
χ4422222222-2-2-2-22-122-1-122-12-12-1-1-1200000000-2-2-122-2-211-2-211-2-2-2-2-1-1-1-1-1-1-122220000-2-2-2-22222000000001111111111-1-1-1-1-1-10022-2-20000001111-1-1-1-10000000000000000-1-1110000
χ4522222222-2-2-2-2-12-1-122-1-12-12-1222-12222222222-1-2-211-2-211-2-2-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-200000000-1-1-1-1-1-1-1-1221111-1-1-1-1-2-21111-2-20000221111000000001111-1-1-1-10000000000000000
χ4622222222-2-2-2-2-12-1-122-1-12-12-1222-122222222-2-2-12211-2-211-2-21111-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-1-1-1-1-1-1-1-1-2-21111111122-1-1-1-1220000-2-2-1-1-1-100000000111111110000000000000000
χ4722222222-2-2-2-2-12-1-122-1-12-12-1222-1-2-2-2-2-2-2-2-222-1-2-211-2-211-2-2-1-1-1-1-1-1-1-1-1-1-1111122220000000011111111221111-1-1-1-1-2-21111220000-2-2-1-1-1-100000000-1-1-1-111110000000000000000
χ4822222222-2-2-2-2-12-1-122-1-12-12-1222-1-2-2-2-2-2-2-2-2-2-2-12211-2-211-2-21111-1-1-1-1-1-1-1-1-1-1-122220000000011111111-2-21111111122-1-1-1-1-2-2000022111100000000-1-1-1-1-1-1-1-10000000000000000
χ492222-2-2-2-22-22-222-2-2-2-222-222-222-2-22i2i−2i−2i2i2i−2i−2i002002-22-22-22-20000-2-222-2-2200002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i002-22-20000000000000000000000000000002i−2i2i−2i00000000000000000000
χ502222-2-2-2-22-22-222-2-2-2-222-222-222-2-2−2i−2i2i2i−2i−2i2i2i002002-22-22-22-20000-2-222-2-220000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i002-22-2000000000000000000000000000000−2i2i−2i2i00000000000000000000
χ512222-2-2-2-22-22-2-1211-2-2-1-1-2-12122-212i2i−2i−2i2i2i−2i−2i00-100-112-2-112-2−i3i3−i3i311-1-111-1−i3i3−i3i32i−2i2i−2i00000000−i−iii−i−iii00-11-11−i3i3−i3i300−i3i3−i3i3000000003−33−300000000−ii−ii3−33−30000000000000000
χ522222-2-2-2-22-22-2-1211-2-2-1-1-2-12122-212i2i−2i−2i2i2i−2i−2i00-100-112-2-112-2i3−i3i3−i311-1-111-1i3−i3i3−i32i−2i2i−2i00000000−i−iii−i−iii00-11-11i3−i3i3−i300i3−i3i3−i300000000−33−3300000000−ii−ii−33−330000000000000000
χ532222-2-2-2-22-22-2-1211-2-2-1-1-2-12122-21−2i−2i2i2i−2i−2i2i2i00-100-112-2-112-2−i3i3−i3i311-1-111-1−i3i3−i3i3−2i2i−2i2i00000000ii−i−iii−i−i00-11-11−i3i3−i3i300−i3i3−i3i300000000−33−3300000000i−ii−i−33−330000000000000000
χ542222-2-2-2-22-22-2-1211-2-2-1-1-2-12122-21−2i−2i2i2i−2i−2i2i2i00-100-112-2-112-2i3−i3i3−i311-1-111-1i3−i3i3−i3−2i2i−2i2i00000000ii−i−iii−i−i00-11-11i3−i3i3−i300i3−i3i3−i3000000003−33−300000000i−ii−i3−33−30000000000000000
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χ1274-44-444-4-40000-24-224-4-2242-4-24-4-424i−4i4i−4i4i−4i4i−4i00-200000000000000-22-22-2220000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1284-44-444-4-40000-24-224-4-2242-4-24-4-42−4i4i−4i4i−4i4i−4i4i00-200000000000000-22-22-22200000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000
χ1294-44-4-4-44400004-2-442-24-42-42-4-22-240000000000-2000000000000002-2-222-22000000004-44-40000000000000000000000000000000000000000-22-220000000000000000000000000000
χ1304-44-4-4-44400004-2-442-24-42-42-4-22-240000000000-2000000000000002-2-222-2200000000-44-4400000000000000000000000000000000000000002-22-20000000000000000000000000000
χ1314-44-4-4-4440000-242-2-44-22-42-424-44-24-4-444-4-4400-2000000000000002-2-222-220000000000000000-222-2-222-2000000000000000000000000000000000000000000000000000000000000
χ1324-44-4-4-4440000-242-2-44-22-42-424-44-2-444-4-444-400-2000000000000002-2-222-2200000000000000002-2-222-2-22000000000000000000000000000000000000000000000000000000000000
χ1334-4-444-44-400004-2-442-2-44-2-4242-22-40000000000-2000000000000002-22-2-222000000004i−4i−4i4i0000000000000000000000000000000000000000−2i2i2i−2i0000000000000000000000000000
χ1344-4-444-44-400004-2-442-2-44-2-4242-22-40000000000-2000000000000002-22-2-22200000000−4i4i4i−4i00000000000000000000000000000000000000002i−2i−2i2i0000000000000000000000000000
χ1354-4-444-44-40000-242-2-442-242-4-2-44-424i−4i−4i4i−4i4i4i−4i00-2000000000000002-22-2-2220000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1364-4-444-44-40000-242-2-442-242-4-2-44-42−4i4i4i−4i4i−4i−4i4i00-2000000000000002-22-2-22200000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000
χ1374-4-44-44-4400004-24-4-22-442-42-42-2-240000000000-200000000000000-222-22-220000000000004-4-440000000000000000000000000000000000000000-222-2000000000000000000000000
χ1384-4-44-44-4400004-24-4-22-442-42-42-2-240000000000-200000000000000-222-22-22000000000000-444-400000000000000000000000000000000000000002-2-22000000000000000000000000
χ1394-4-44-44-440000-24-224-42-2-42-42-444-24-44-4-44-4400-200000000000000-222-22-220000000000000000-22-222-22-2000000000000000000000000000000000000000000000000000000000000
χ1404-4-44-44-440000-24-224-42-2-42-42-444-2-44-444-44-400-200000000000000-222-22-2200000000000000002-22-2-22-22000000000000000000000000000000000000000000000000000000000000
χ1418-88-888-8-80000-4-4-44-44-44-444-4-444400000000002000000000000002-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-8-8880000-4-44-44-4-444444-44-4-40000000000200000000000000-222-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-888-88-80000-4-44-44-44-4-444-44-4440000000000200000000000000-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88-88-880000-4-4-44-444-444444-4-4-400000000002000000000000002-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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