Finite Group Databasebeta

← Group #11858012

Character table — Group #11858012

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444466666666666666668888888888888812121212121212121212121212121212121212121212121216161616181818182424242424242424363636363636
order12223344666666888822344666121212122424242424242424222244446666121212126666121212121212242424242244444466888812122424242424242424661212224466121212121212224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111-1-1-1-1111111111111111111-1-11111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111-1-11-1-111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ7111111111111111111-1-11-1-1111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ8111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ911111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1
χ1011111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111
χ1111111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ1211111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-11111111111-1-11111-1-11111-1-111-1-1-1-1
χ1311111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1
χ1411111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-111
χ1511111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111
χ1611111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-111111111-1-111111111-1-1-1-111-1-111-1-1
χ171-11-1111-1-1-11-1-11ii−i−i1-11i−i-11-111-1-1iiii−i−i−i−i1-11-11-11-111-1-111-1-11-11-1i−ii−i1-1ii−i−i1-1i−i1-1i−i1-1i−ii−i1-1ii−i−iii−i−i1-1i−i1-11-11-1i−ii−i1-11-1i−ii−i
χ181-11-1111-1-1-11-1-11ii−i−i1-11i−i-11-111-1-1iiii−i−i−i−i1-1-111-1-1111-1-1-1-1111-11-1i−ii−i1-1ii−i−i1-1−ii-11i−i-11i−i−ii1-1ii−i−i−i−iii1-1i−i-11-111-1−iii−i-11-11−ii−ii
χ191-11-1111-1-1-11-1-11ii−i−i1-11i−i-11-111-1-1iiii−i−i−i−i-111-1-111-1-1-11111-1-11-11-1i−ii−i1-1ii−i−i-11i−i1-1−ii1-1−iii−i-11−i−iiiii−i−i1-1i−i-11-11-11i−i−ii1-1-11−ii−ii
χ201-11-1111-1-1-11-1-11ii−i−i1-11i−i-11-111-1-1iiii−i−i−i−i-11-11-11-11-1-111-1-1111-11-1i−ii−i1-1ii−i−i-11−ii-11−ii-11−ii−ii-11−i−iii−i−iii1-1i−i1-11-1-11−ii−ii-111-1i−ii−i
χ211-11-1111-1-1-11-1-11ii−i−i-111−ii-11-111-1-1iiii−i−i−i−i1-11-11-11-111-1-111-1-1-11-11−ii−ii1-1ii−i−i-11−ii-11−ii1-1i−ii−i1-1ii−i−iii−i−i-11−ii1-11-1-11−ii−ii-11-11−iii−i
χ221-11-1111-1-1-11-1-11ii−i−i-111−ii-11-111-1-1iiii−i−i−i−i1-1-111-1-1111-1-1-1-111-11-11−ii−ii1-1ii−i−i-11i−i1-1−ii-11i−i−ii1-1ii−i−i−i−iii-11−ii-11-11-11i−i−ii1-11-1i−i−ii
χ231-11-1111-1-1-11-1-11ii−i−i-111−ii-11-111-1-1iiii−i−i−i−i-111-1-111-1-1-11111-1-1-11-11−ii−ii1-1ii−i−i1-1−ii-11i−i1-1−iii−i-11−i−iiiii−i−i-11−ii-11-111-1−iii−i-111-1i−i−ii
χ241-11-1111-1-1-11-1-11ii−i−i-111−ii-11-111-1-1iiii−i−i−i−i-11-11-11-11-1-111-1-111-11-11−ii−ii1-1ii−i−i1-1i−i1-1i−i-11−ii−ii-11−i−iii−i−iii-11−ii1-11-11-1i−ii−i1-1-11−iii−i
χ251-11-1111-1-1-11-1-11−i−iii1-11−ii-11-111-1-1−i−i−i−iiiii1-11-11-11-111-1-111-1-11-11-1−ii−ii1-1−i−iii1-1−ii1-1−ii1-1−ii−ii1-1−i−iii−i−iii1-1−ii1-11-11-1−ii−ii1-11-1−ii−ii
χ261-11-1111-1-1-11-1-11−i−iii1-11−ii-11-111-1-1−i−i−i−iiiii1-1-111-1-1111-1-1-1-1111-11-1−ii−ii1-1−i−iii1-1i−i-11−ii-11−iii−i1-1−i−iiiii−i−i1-1−ii-11-111-1i−i−ii-11-11i−ii−i
χ271-11-1111-1-1-11-1-11−i−iii1-11−ii-11-111-1-1−i−i−i−iiiii-111-1-111-1-1-11111-1-11-11-1−ii−ii1-1−i−iii-11−ii1-1i−i1-1i−i−ii-11ii−i−i−i−iii1-1−ii-11-11-11−iii−i1-1-11i−ii−i
χ281-11-1111-1-1-11-1-11−i−iii1-11−ii-11-111-1-1−i−i−i−iiiii-11-11-11-11-1-111-1-1111-11-1−ii−ii1-1−i−iii-11i−i-11i−i-11i−ii−i-11ii−i−iii−i−i1-1−ii1-11-1-11i−ii−i-111-1−ii−ii
χ291-11-1111-1-1-11-1-11−i−iii-111i−i-11-111-1-1−i−i−i−iiiii1-11-11-11-111-1-111-1-1-11-11i−ii−i1-1−i−iii-11i−i-11i−i1-1−ii−ii1-1−i−iii−i−iii-11i−i1-11-1-11i−ii−i-11-11i−i−ii
χ301-11-1111-1-1-11-1-11−i−iii-111i−i-11-111-1-1−i−i−i−iiiii1-1-111-1-1111-1-1-1-111-11-11i−ii−i1-1−i−iii-11−ii1-1i−i-11−iii−i1-1−i−iiiii−i−i-11i−i-11-11-11−iii−i1-11-1−iii−i
χ311-11-1111-1-1-11-1-11−i−iii-111i−i-11-111-1-1−i−i−i−iiiii-111-1-111-1-1-11111-1-1-11-11i−ii−i1-1−i−iii1-1i−i-11−ii1-1i−i−ii-11ii−i−i−i−iii-11i−i-11-111-1i−i−ii-111-1−iii−i
χ321-11-1111-1-1-11-1-11−i−iii-111i−i-11-111-1-1−i−i−i−iiiii-11-11-11-11-1-111-1-111-11-11i−ii−i1-1−i−iii1-1−ii1-1−ii-11i−ii−i-11ii−i−iii−i−i-11i−i1-11-11-1−ii−ii1-1-11i−i−ii
χ33222222-2-2222222000000200222-2-2-2-2000000002222-2-2-2-22222-2-2-2-200000000-2-2000000000000220000-2-2000000000000-2-22200000000000000
χ34222222-2-2222222000000200222-2-2-2-20000000022-2-2-2-2222222222200000000-2-2000000000000-2-20000-2-200000000000022-2-200000000000000
χ35222222-2-2222222000000200222-2-2-2-200000000-2-22222-2-2-2-2-2-2-2-2-2-200000000-2-20000000000002200002200000000000022-2-200000000000000
χ36222222-2-2222222000000200222-2-2-2-200000000-2-2-2-22222-2-2-2-2222200000000-2-2000000000000-2-2000022000000000000-2-22200000000000000
χ3722222-122-12-12-12222222-122-1-1-1-12-1222-1-122-1-122002200-1-1-1-1000022-1-122-1-1-1-1-1-1-1-122000022002200-1-1-1-1-1-10000-1-1-1-10000-1-100-1-100000000
χ3822222-122-12-12-12222222-122-1-1-1-12-1222-1-122-1-1-2-200-2-2001111000022-1-122-1-1-1-1-1-1-1-1-2-20000-2-200-2-2001111110000-1-1-1-1000011001100000000
χ3922222-122-12-12-122222-2-2-1-2-2-1-1-1-12-1222-1-122-1-122002200-1-1-1-10000-2-211-2-211-1-1-1-1-1-1-2-20000-2-2002200-1-1-1-1-1-100001111000011001100000000
χ4022222-122-12-12-122222-2-2-1-2-2-1-1-1-12-1222-1-122-1-1-2-200-2-20011110000-2-211-2-211-1-1-1-1-1-12200002200-2-200111111000011110000-1-100-1-100000000
χ4122222-122-12-12-12-2-2-2-222-1-2-2-1-1-1-12-12-2-211-2-21122002200-1-1-1-1000022-1-1-2-211-1-11111220000-2-200-2-200-1-111110000-1-1110000-1-1001100000000
χ4222222-122-12-12-12-2-2-2-222-1-2-2-1-1-1-12-12-2-211-2-211-2-200-2-2001111000022-1-1-2-211-1-11111-2-200002200220011-1-1-1-10000-1-11100001100-1-100000000
χ4322222-122-12-12-12-2-2-2-2-2-2-122-1-1-1-12-12-2-211-2-21122002200-1-1-1-10000-2-21122-1-1-1-11111-2-200002200-2-200-1-11111000011-1-100001100-1-100000000
χ4422222-122-12-12-12-2-2-2-2-2-2-122-1-1-1-12-12-2-211-2-211-2-200-2-20011110000-2-21122-1-1-1-11111220000-2-200220011-1-1-1-1000011-1-10000-1-1001100000000
χ452222-12222-12-12-1222222-122-1-1-12-12-1-1-122-1-122002200220000-1-1-1-1-1-122-1-122-1-1-1-1-1-100222200-1-10022000000-1-1-1-1-1-1-1-1000000-1-100-1-1000000
χ462222-12222-12-12-1222222-122-1-1-12-12-1-1-122-1-12200-2-200-2-200001111-1-122-1-122-1-1-1-1-1-100-2-2-2-2001100-2-20000001111-1-1-1-1000000110011000000
χ472222-12222-12-12-12222-2-2-1-2-2-1-1-12-12-1-1-122-1-122002200220000-1-1-1-111-2-211-2-2-1-1-1-1-1-100-2-2-2-200-1-10022000000-1-1-1-11111000000110011000000
χ482222-12222-12-12-12222-2-2-1-2-2-1-1-12-12-1-1-122-1-12200-2-200-2-20000111111-2-211-2-2-1-1-1-1-1-1002222001100-2-200000011111111000000-1-100-1-1000000
χ492222-12222-12-12-1-2-2-2-222-1-2-2-1-1-12-12-111-2-211-2-2002200220000-1-1-1-1-1-12211-2-2-1-1111100-2-22200-1-100-2-20000001111-1-1110000001100-1-1000000
χ502222-12222-12-12-1-2-2-2-222-1-2-2-1-1-12-12-111-2-211-2-200-2-200-2-200001111-1-12211-2-2-1-111110022-2-200110022000000-1-1-1-1-1-111000000-1-10011000000
χ512222-12222-12-12-1-2-2-2-2-2-2-122-1-1-12-12-111-2-211-2-2002200220000-1-1-1-111-2-2-1-122-1-111110022-2-200-1-100-2-2000000111111-1-1000000-1-10011000000
χ522222-12222-12-12-1-2-2-2-2-2-2-122-1-1-12-12-111-2-211-2-200-2-200-2-20000111111-2-2-1-122-1-1111100-2-22200110022000000-1-1-1-111-1-10000001100-1-1000000
χ532-22-222-22-2-22-2-22000000200-22-2-2-222000000002-22-2-22-2222-2-2-2-22200000000-220000000000002-20000-22000000000000-222-200000000000000
χ542-22-222-22-2-22-2-22000000200-22-2-2-222000000002-2-22-222-222-2-222-2-200000000-22000000000000-220000-220000000000002-2-2200000000000000
χ552-22-222-22-2-22-2-22000000200-22-2-2-22200000000-222-22-2-22-2-222-2-22200000000-220000000000002-200002-20000000000002-2-2200000000000000
χ562-22-222-22-2-22-2-22000000200-22-2-2-22200000000-22-222-22-2-2-22222-2-200000000-22000000000000-2200002-2000000000000-222-200000000000000
χ572-22-22-12-21-2-1-2122i2i−2i−2i2-2-12i−2i1-11-121-22i2i−i−i−2i−2iii2-2002-200-1-11100002-2-112i−2i−ii-11−i−iii2-200002i−2i002i−2i00-11−i−iii0000-11−ii0000-1100−ii00000000
χ582-22-22-12-21-2-1-2122i2i−2i−2i2-2-12i−2i1-11-121-22i2i−i−i−2i−2iii-2200-220011-1-100002-2-112i−2i−ii-11−i−iii-220000−2i2i00−2i2i001-1ii−i−i0000-11−ii00001-100i−i00000000
χ592-22-22-12-21-2-1-2122i2i−2i−2i-22-1−2i2i1-11-121-22i2i−i−i−2i−2iii2-2002-200-1-1110000-221-1−2i2ii−i-11−i−iii-220000−2i2i002i−2i00-11−i−iii00001-1i−i00001-100i−i00000000
χ602-22-22-12-21-2-1-2122i2i−2i−2i-22-1−2i2i1-11-121-22i2i−i−i−2i−2iii-2200-220011-1-10000-221-1−2i2ii−i-11−i−iii2-200002i−2i00−2i2i001-1ii−i−i00001-1i−i0000-1100−ii00000000
χ612-22-22-12-21-2-1-212−2i−2i2i2i2-2-1−2i2i1-11-121-2−2i−2iii2i2i−i−i2-2002-200-1-11100002-2-11−2i2ii−i-11ii−i−i2-20000−2i2i00−2i2i00-11ii−i−i0000-11i−i0000-1100i−i00000000
χ622-22-22-12-21-2-1-212−2i−2i2i2i2-2-1−2i2i1-11-121-2−2i−2iii2i2i−i−i-2200-220011-1-100002-2-11−2i2ii−i-11ii−i−i-2200002i−2i002i−2i001-1−i−iii0000-11i−i00001-100−ii00000000
χ632-22-22-12-21-2-1-212−2i−2i2i2i-22-12i−2i1-11-121-2−2i−2iii2i2i−i−i2-2002-200-1-1110000-221-12i−2i−ii-11ii−i−i-2200002i−2i00−2i2i00-11ii−i−i00001-1−ii00001-100−ii00000000
χ642-22-22-12-21-2-1-212−2i−2i2i2i-22-12i−2i1-11-121-2−2i−2iii2i2i−i−i-2200-220011-1-10000-221-12i−2i−ii-11ii−i−i2-20000−2i2i002i−2i001-1−i−iii00001-1−ii0000-1100i−i00000000
χ652-22-2-122-2-2121-2-12i2i−2i−2i2-2-12i−2i1-112-1-21−i−i2i2iii−2i−2i002-2002-20000-1-111-112-2−ii2i−2i-11−i−iii002i−2i2-200-11002i−2i000000−i−iii-11−ii000000−ii00-11000000
χ662-22-2-122-2-2121-2-12i2i−2i−2i2-2-12i−2i1-112-1-21−i−i2i2iii−2i−2i00-2200-22000011-1-1-112-2−ii2i−2i-11−i−iii00−2i2i-22001-100−2i2i000000ii−i−i-11−ii000000i−i001-1000000
χ672-22-2-122-2-2121-2-12i2i−2i−2i-22-1−2i2i1-112-1-21−i−i2i2iii−2i−2i002-2002-20000-1-1111-1-22i−i−2i2i-11−i−iii00−2i2i-2200-11002i−2i000000−i−iii1-1i−i000000i−i001-1000000
χ682-22-2-122-2-2121-2-12i2i−2i−2i-22-1−2i2i1-112-1-21−i−i2i2iii−2i−2i00-2200-22000011-1-11-1-22i−i−2i2i-11−i−iii002i−2i2-2001-100−2i2i000000ii−i−i1-1i−i000000−ii00-11000000
χ692-22-2-122-2-2121-2-1−2i−2i2i2i2-2-1−2i2i1-112-1-21ii−2i−2i−i−i2i2i002-2002-20000-1-111-112-2i−i−2i2i-11ii−i−i00−2i2i2-200-1100−2i2i000000ii−i−i-11i−i000000i−i00-11000000
χ702-22-2-122-2-2121-2-1−2i−2i2i2i2-2-1−2i2i1-112-1-21ii−2i−2i−i−i2i2i00-2200-22000011-1-1-112-2i−i−2i2i-11ii−i−i002i−2i-22001-1002i−2i000000−i−iii-11i−i000000−ii001-1000000
χ712-22-2-122-2-2121-2-1−2i−2i2i2i-22-12i−2i1-112-1-21ii−2i−2i−i−i2i2i002-2002-20000-1-1111-1-22−ii2i−2i-11ii−i−i002i−2i-2200-1100−2i2i000000ii−i−i1-1−ii000000−ii001-1000000
χ722-22-2-122-2-2121-2-1−2i−2i2i2i-22-12i−2i1-112-1-21ii−2i−2i−i−i2i2i00-2200-22000011-1-11-1-22−ii2i−2i-11ii−i−i00−2i2i2-2001-1002i−2i000000−i−iii1-1−ii000000i−i00-11000000
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χ8744-4-4-240042-4-2-42−2i22i2−2i22i200-200-2220000i2−i2−2i22i2i2−i2−2i22i200000000000023−2323−230000000000i2−i2i2−i200000000000000000000i6−i6i6−i60000000000000000000000
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χ984-44-4-2-24-422-222-2−4i−4i4i4i-4414i−4i-11-1-2-2222i2i2i2i−2i−2i−2i−2i00000000000000002-22-2−2i2i−2i2i1-1−i−iii000000000000000000000000-11i−i000000000000000000
χ994-4-444400-44-4-44-422−22−222200400-4-44000022−2222−22−2222−22220000000000000000000000000022−22−22220000000000000000000000000000000000000000000000
χ1004-4-444400-44-4-44-4−222222−2200400-4-440000−2222−222222−2222−2200000000000000000000000000−222222−220000000000000000000000000000000000000000000000
χ1014-4-444-200242-4-2-422−22−222200-20022-2000022−22−22−22222−200000000−2i32i32i3−2i300000000000000−222−20000000000000000i6−i6−i6i600000000000000000000000000
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χ1034-4-444-200242-4-2-4−222222−2200-20022-20000−22222−222−22−2200000000−2i32i32i3−2i3000000000000002−2−220000000000000000−i6i6i6−i600000000000000000000000000
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χ1054-4-44-2400-4-2-424222−22−222200-20022-20000−2222−222−2−222200000000000023−23−23230000000000−222−200000000000000000000−666−60000000000000000000000
χ1064-4-44-2400-4-2-424222−22−222200-20022-20000−2222−222−2−2222000000000000−232323−230000000000−222−2000000000000000000006−6−660000000000000000000000
χ1074-4-44-2400-4-2-4242−222222−2200-20022-200002−2−2222−2222−2200000000000023−23−232300000000002−2−22000000000000000000006−6−660000000000000000000000
χ1084-4-44-2400-4-2-4242−222222−2200-20022-200002−2−2222−2222−22000000000000−232323−2300000000002−2−2200000000000000000000−666−60000000000000000000000
χ1098888-4-4-8-8-4-4-4-4-4-4000000200222444400000000000000000000000000000000-2-200000000000000000000000000000000000000000000000000
χ11088-8-8-4-400-444-444−4i24i2−4i24i2002002-2-200002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000−i2i2−i2i20000000000000000000000000000000000000000000000
χ11188-8-8-4-400-444-4444i2−4i24i2−4i2002002-2-20000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000i2−i2i2−i20000000000000000000000000000000000000000000000
χ1128-88-8-4-4-8844-444-4000000200-22-244-4-400000000000000000000000000000000-2200000000000000000000000000000000000000000000000000
χ1138-8-88-4-4004-444-4442−42−424200200-2-220000−2222−222222−2222−22000000000000000000000000002−2−220000000000000000000000000000000000000000000000
χ1148-8-88-4-4004-444-44−424242−4200200-2-22000022−2222−22−2222−222200000000000000000000000000−222−20000000000000000000000000000000000000000000000

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