Finite Group Databasebeta

← Group #11788173

Character table — Group #11788173

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order1222444422334466666612121212121212123666666612121212121212122222444444444444668812122424242424242424242424242424242466661212121212121212121212124444444424668812122424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-111-1-111-1-1iiii−i−i−i−i-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-111i−i-1-1ii−i−i1-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-111-1-111-1-1iiii−i−i−i−i-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-1-1−ii11−i−iii-11
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-1-1i−i11ii−i−i-11
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-111−ii-1-1−i−iii1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-111-1-111iiii−i−i−i−i-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii1-111−ii-1-1−i−iii-11
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-111-1-111iiii−i−i−i−i-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii-11-1-1i−i11ii−i−i1-1
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-111-1-111−i−i−i−iiiii-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i-11-1-1−ii11−i−iii1-1
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-111-1-111−i−i−i−iiiii-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-111i−i-1-1ii−i−i-11
χ1722222222222-12222-1-12-12222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-12222222200000000-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002200-1-1-1-100
χ1822222222222-12222-1-12-12222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-12222222200000000-1-1-2-2-1-1-2-211-2-21111111111-1-1-1-1-1-1-1-100000000000000000000-2-200111100
χ1922222222222-12222-1-12-12222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-11111111100000000000000000000-2-200111100
χ2022222222222-12222-1-12-12222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-2-2-1-1-2-211-2-2111111111111111111000000000000000000002200-1-1-1-100
χ212222222222-1222-1-122-12-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-10000000022222222-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000022-1-100-1-1000000
χ222222222222-1222-1-122-12-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-10000000022222222-1-1-2-2-1-111-2-211-2-21111111100000000-1-1-1-1-1-1-1-100000000-2-2110011000000
χ232222222222-1222-1-122-12-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2-2-2-2-2-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1000000001111111100000000-2-2110011000000
χ242222222222-1222-1-122-12-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-2-2-1-111-2-211-2-21111111100000000111111110000000022-1-100-1-1000000
χ2522222222-2-222-2-2222222222222222-2-2-2222-2-2-2-2-2222222-2-2-2-22200000000-2-200-2-2000000000000000022-2-2-2-222000000000000000000000000000000
χ2622222222-2-222-2-2222222222222222-2-2-2222-2-2-2-2-22222-2-22222-2-200000000-2-200-2-20000000000000000-2-22222-2-2000000000000000000000000000000
χ2722222222-2-22-1-2-222-1-12-12222-1-1-1-1-1-211-1-1-1-2-2-211-1-1-1-122-2-2-2-2220000000011001100−i3i300−i3i3−i3−i3i3i3−i3−i3i3i3-1-11111-1-1000000000000000000000000−i3i3−i3i300
χ2822222222-2-22-1-2-222-1-12-12222-1-1-1-1-1-211-1-1-1-2-2-211-1-1-1-122-2-2-2-2220000000011001100i3−i300i3−i3i3i3−i3−i3i3i3−i3−i3-1-11111-1-1000000000000000000000000i3−i3i3−i300
χ2922222222-2-22-1-2-222-1-12-12222-1-1-1-1-1-211-1-1-1-2-2-211-1-1-1-1-2-22222-2-20000000011001100−i3i300−i3i3−i3−i3i3i3−i3−i3i3i311-1-1-1-111000000000000000000000000i3−i3i3−i300
χ3022222222-2-22-1-2-222-1-12-12222-1-1-1-1-1-211-1-1-1-2-2-211-1-1-1-1-2-22222-2-20000000011001100i3−i300i3−i3i3i3−i3−i3i3i3−i3−i311-1-1-1-111000000000000000000000000−i3i3−i3i300
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000002200-2-200000000000000002222-2-2-2-2000000000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000002200-2-20000000000000000-2-2-2-22222000000000000000000000000000000
χ332222-2-2-2-2222-1-2-222-1-12-1-2-2-2-21111-12-1-1-1-1-12-2-21111112222-2-2-2-200000000-1-10011003−300−3333−3−3−3−333-1-1-1-111110000000000000000000000003−3−3300
χ342222-2-2-2-2222-1-2-222-1-12-1-2-2-2-21111-12-1-1-1-1-12-2-21111112222-2-2-2-200000000-1-1001100−33003−3−3−33333−3−3-1-1-1-11111000000000000000000000000−333−300
χ352222-2-2-2-2222-1-2-222-1-12-1-2-2-2-21111-12-1-1-1-1-12-2-2111111-2-2-2-2222200000000-1-10011003−300−3333−3−3−3−3331111-1-1-1-1000000000000000000000000−333−300
χ362222-2-2-2-2222-1-2-222-1-12-1-2-2-2-21111-12-1-1-1-1-12-2-2111111-2-2-2-2222200000000-1-1001100−33003−3−3−33333−3−31111-1-1-1-10000000000000000000000003−3−3300
χ372222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-1-211-1-1-1-222-1-1111122-2-222-2-200000000112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii-1-111-1-111000000000000000000002i−2i00−i−iii00
χ382222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-1-211-1-1-1-222-1-1111122-2-222-2-20000000011−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i-1-111-1-11100000000000000000000−2i2i00ii−i−i00
χ392222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-1-211-1-1-1-222-1-11111-2-222-2-22200000000112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii11-1-111-1-100000000000000000000−2i2i00ii−i−i00
χ402222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-1-211-1-1-1-222-1-11111-2-222-2-2220000000011−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i11-1-111-1-1000000000000000000002i−2i00−i−iii00
χ412222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-11-2-2-1-1-11-1-1221111000000002i2i2i2i−2i−2i−2i−2i112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii00000000−i−i−i−iiiii000000002-2-1-10011000000
χ422222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-11-2-2-1-1-11-1-1221111000000002i2i2i2i−2i−2i−2i−2i11−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i00000000−i−i−i−iiiii00000000-221100-1-1000000
χ432222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-11-2-2-1-1-11-1-122111100000000−2i−2i−2i−2i2i2i2i2i112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii00000000iiii−i−i−i−i00000000-221100-1-1000000
χ442222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-11-2-2-1-1-11-1-122111100000000−2i−2i−2i−2i2i2i2i2i11−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i00000000iiii−i−i−i−i000000002-2-1-10011000000
χ4522-2-222-2-22-2222-2-2-2-2-222-2-22222-2-2222-2-2-22-22-22-2-2-22200000000000000002-2002-2000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i00000000000000
χ4622-2-222-2-22-2222-2-2-2-2-222-2-22222-2-2222-2-2-22-22-22-2-2-22200000000000000002-2002-200000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000
χ4722-2-222-2-2-2222-22-2-2-2-222-2-22222-2-22-2-22-2-222-22-22-2-2220000000022-2-222-2-2-2200-2200000000000000000000000022-2-222-2-20000000000000000000000
χ4822-2-222-2-2-2222-22-2-2-2-222-2-22222-2-22-2-22-2-222-22-22-2-22200000000-2-222-2-222-2200-22000000000000000000000000-2-222-2-2220000000000000000000000
χ4922-2-222-2-2-22-12-2211-2-2-1211-1-122-2-2-11-2211-1-11-1-2211-1-10000000022-2-222-2-21-1001-1−i3i300−i3i300−i3i3−i3i3−i3i3−i3i300000000-1-111-1-1110000000000−i3i300−i3i3000000
χ5022-2-222-2-2-22-12-2211-2-2-1211-1-122-2-2-11-2211-1-11-1-2211-1-10000000022-2-222-2-21-1001-1i3−i300i3−i300i3−i3i3−i3i3−i3i3−i300000000-1-111-1-1110000000000i3−i300i3−i3000000
χ5122-2-222-2-2-22-12-2211-2-2-1211-1-122-2-2-11-2211-1-11-1-2211-1-100000000-2-222-2-2221-1001-1−i3i300−i3i300−i3i3−i3i3−i3i3−i3i30000000011-1-111-1-10000000000i3−i300i3−i3000000
χ5222-2-222-2-2-22-12-2211-2-2-1211-1-122-2-2-11-2211-1-11-1-2211-1-100000000-2-222-2-2221-1001-1i3−i300i3−i300i3−i3i3−i3i3−i3i3−i30000000011-1-111-1-10000000000−i3i300−i3i3000000
χ5322-2-2-2-2222-222-22-2-2-2-22222-2-2-2-222222-2-2-22-2-22-2222-2-2000000002i2i−2i−2i−2i−2i2i2i2-200-220000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ5422-2-2-2-2222-222-22-2-2-2-22222-2-2-2-222222-2-2-22-2-22-2222-2-200000000−2i−2i2i2i2i2i−2i−2i2-200-22000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ5522-2-2-2-2222-2-12-2211-2-2-12-1-111-2-222-1-12-211-111-1-22-1-111000000002i2i−2i−2i−2i−2i2i2i-11001-13−300−33003−33−3−33−3300000000−i−iiiii−i−i0000000000−i3i300i3−i3000000
χ5622-2-2-2-2222-2-12-2211-2-2-12-1-111-2-222-1-12-211-111-1-22-1-111000000002i2i−2i−2i−2i−2i2i2i-11001-1−33003−300−33−333−33−300000000−i−iiiii−i−i0000000000i3−i300−i3i3000000
χ5722-2-2-2-2222-2-12-2211-2-2-12-1-111-2-222-1-12-211-111-1-22-1-11100000000−2i−2i2i2i2i2i−2i−2i-11001-13−300−33003−33−3−33−3300000000ii−i−i−i−iii0000000000i3−i300−i3i3000000
χ5822-2-2-2-2222-2-12-2211-2-2-12-1-111-2-222-1-12-211-111-1-22-1-11100000000−2i−2i2i2i2i2i−2i−2i-11001-1−33003−300−33−333−33−300000000ii−i−i−i−iii0000000000−i3i300i3−i3000000
χ5922-2-2-2-222-22222-2-2-2-2-22222-2-2-2-2222-2-22-2-2222-22-222-2-20000000000000000-22002-20000000000000000000000000000000022-2-2-2-22200000000000000
χ6022-2-2-2-222-22222-2-2-2-2-22222-2-2-2-2222-2-22-2-2222-22-222-2-20000000000000000-22002-200000000000000000000000000000000-2-22222-2-200000000000000
χ612-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i20002-2-2000002i−2i2i−2i002-22i−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000000000002-22i−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000
χ622-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i20002-2-2000002i−2i2i−2i002-22i−2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000000000002-22i−2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000
χ632-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i20002-2-2000002i−2i2i−2i00-22−2i2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000000000000000-22−2i2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000
χ642-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i20002-2-2000002i−2i2i−2i00-22−2i2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000000000000000-22−2i2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000
χ652-22-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i20002-2-200000−2i2i−2i2i002-2−2i2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000000000002-2−2i2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000
χ662-22-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i20002-2-200000−2i2i−2i2i002-2−2i2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000000000002-2−2i2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000
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χ682-22-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i20002-2-200000−2i2i−2i2i00-222i−2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000000000000000-222i−2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000
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χ1014-44-44i−4i4i−4i004-2004-4-22-424i−4i4i−4i−2i2i−2i2i-2000-22200000−2i2i−2i2i004-44i−4i0000000000000000000000000000000000-22−2i2i00000000000000000000000000000000
χ1024-44-44i−4i4i−4i004-2004-4-22-424i−4i4i−4i−2i2i−2i2i-2000-22200000−2i2i−2i2i00-44−4i4i00000000000000000000000000000000002-22i−2i00000000000000000000000000000000
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χ1064-44-4−4i4i−4i4i004-2004-4-22-42−4i4i−4i4i2i−2i2i−2i-2000-222000002i−2i2i−2i00-444i−4i00000000000000000000000000000000002-2−2i2i00000000000000000000000000000000
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χ1114-4-444i−4i−4i4i00-24002-2-442-42i−2i−2i2i4i−4i−4i4i-20002-22000002i−2i−2i2i000000002+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i000000000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000000000000000000
χ1124-4-444i−4i−4i4i00-24002-2-442-42i−2i−2i2i4i−4i−4i4i-20002-22000002i−2i−2i2i00000000−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i0000000000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000000000000000000000
χ1134-4-44−4i4i4i−4i004-200-442-2-424i−4i−4i4i2i−2i−2i2i-20002-2200000−2i2i2i−2i4-40000−4i4i000000000000000000000000000000-2200002i−2i000000000000000000000000000000
χ1144-4-44−4i4i4i−4i004-200-442-2-424i−4i−4i4i2i−2i−2i2i-20002-2200000−2i2i2i−2i-4400004i−4i0000000000000000000000000000002-20000−2i2i000000000000000000000000000000
χ1154-4-44−4i4i4i−4i00-24002-2-442-4−2i2i2i−2i−4i4i4i−4i-20002-2200000−2i2i2i−2i000000002−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i000000000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000000000000000000
χ1164-4-44−4i4i4i−4i00-24002-2-442-4−2i2i2i−2i−4i4i4i−4i-20002-2200000−2i2i2i−2i00000000−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i0000000000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000000000000000000000
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χ1188-88-8−8i8i−8i8i00-4-400-44-44444i−4i4i−4i4i−4i4i−4i20002-2-200000−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-888i−8i−8i8i00-4-4004-44-4444i−4i−4i4i−4i4i4i−4i2000-22-200000−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88−8i8i8i−8i00-4-4004-44-444−4i4i4i−4i4i−4i−4i4i2000-22-2000002i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000

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