Finite Group Databasebeta

← Group #10896508

Character table — Group #10896508

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order122222223444444444444666666612121212121212124444444412121212121212121212121212121212121212121212121244444444121212121212121212121212121212124444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111-1-1-1-111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ6111111111111111-1-1-1-111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ7111111111111111-1-1-1-111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111
χ8111111111111111-1-1-1-111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1
χ911111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1
χ1011111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111
χ1111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111
χ1211111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1
χ1311111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1411111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ1511111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ1611111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ17222222222-2-222222222-2-222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ18222222222-2-22222-2-2-2-2-2-2222222222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ19222222222-2-2-2-2-2-22222-2-22222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ2122222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ2322222222-1222222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-1-1-1-1-1-1-1-1111111111111111122-2-222-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2422222222-1222222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-1-1-1-1-1-1-1-11111111111111111-2-222-2-22211111111-1-1-1-1-1-1-1-10000000000000000
χ2522222222-122-2-2-2-2222222-1-1-1-1-1-1-111111111-2-222-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-111112222-2-2-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ2622222222-122-2-2-2-2222222-1-1-1-1-1-1-111111111-2-222-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111-2-2-2-222221111-1-1-1-11111-1-1-1-10000000000000000
χ2722222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-11111111122-2-2-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ2822222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-11111111122-2-2-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ2922222222-1-2-222222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ3022222222-1-2-222222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ3122222222-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2221111111111111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ3222222222-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2221111111111111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ3322222222-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ3422222222-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ372222-2-2-2-220022-2-222-2-200222-2-2-2-22222-2-2-2-22-20000000000000022-2-222-2-200000000000000000000000000000000000000002−22−22−22−2
χ382222-2-2-2-220022-2-222-2-200222-2-2-2-22222-2-2-2-22-20000000000000022-2-222-2-20000000000000000000000000000000000000000−22−22−22−22
χ392222-2-2-2-220022-2-2-2-22200222-2-2-2-22222-2-2-2-2-2200000000000000-2-222-2-22200000000000000000000000000000000000000002−22−2−22−22
χ402222-2-2-2-220022-2-2-2-22200222-2-2-2-22222-2-2-2-2-2200000000000000-2-222-2-2220000000000000000000000000000000000000000−22−222−22−2
χ412222-2-2-2-2200-2-22222-2-200222-2-2-2-2-2-2-2-22222-220000000000000022-2-2-2-22200000000000000000000000000000000000000002−2−222−2−22
χ422222-2-2-2-2200-2-22222-2-200222-2-2-2-2-2-2-2-22222-220000000000000022-2-2-2-2220000000000000000000000000000000000000000−222−2−222−2
χ432222-2-2-2-2200-2-222-2-22200222-2-2-2-2-2-2-2-222222-200000000000000-2-22222-2-200000000000000000000000000000000000000002−2−22−222−2
χ442222-2-2-2-2200-2-222-2-22200222-2-2-2-2-2-2-2-222222-200000000000000-2-22222-2-20000000000000000000000000000000000000000−222−22−2−22
χ4522-2-222-2-222200002-22-2-2-22-2-22-22-200000000002-2000022-2-200002-22-2000022-2-200002-22-200002-22-200002-22-200000000000000000000
χ4622-2-222-2-222200002-22-2-2-22-2-22-22-200000000002-2000022-2-200002-22-2000022-2-20000-22-220000-22-220000-22-2200000000000000000000
χ4722-2-222-2-22220000-22-22-2-22-2-22-22-20000000000-22000022-2-20000-22-220000-2-22200002-2-2200002-22-20000-22-2200000000000000000000
χ4822-2-222-2-22220000-22-22-2-22-2-22-22-20000000000-22000022-2-20000-22-220000-2-2220000-222-20000-22-2200002-22-200000000000000000000
χ4922-2-222-2-22-2-200002-22-2222-2-22-22-20000000000-220000-2-22200002-22-20000-2-222000000002i−2i2i−2i00002i−2i2i−2i00002i−2i2i−2i0000000000000000
χ5022-2-222-2-22-2-200002-22-2222-2-22-22-20000000000-220000-2-22200002-22-20000-2-22200000000−2i2i−2i2i0000−2i2i−2i2i0000−2i2i−2i2i0000000000000000
χ5122-2-222-2-22-2-20000-22-22222-2-22-22-200000000002-20000-2-2220000-22-22000022-2-2000000002i−2i−2i2i00002i−2i2i−2i0000−2i2i−2i2i0000000000000000
χ5222-2-222-2-22-2-20000-22-22222-2-22-22-200000000002-20000-2-2220000-22-22000022-2-200000000−2i2i2i−2i0000−2i2i−2i2i00002i−2i2i−2i0000000000000000
χ5322-2-222-2-2-12200002-22-2-2-2-111-11-1133−3−333−3−3002-20000-1-11133−3−3-11-113−33−3-1-11133−3−32-22-20000-11-113−3−33-11-113−3−330000000000000000
χ5422-2-222-2-2-12200002-22-2-2-2-111-11-1133−3−333−3−3002-20000-1-11133−3−3-11-113−33−3-1-11133−3−3-22-2200001-11-1−333−31-11-1−333−30000000000000000
χ5522-2-222-2-2-12200002-22-2-2-2-111-11-11−3−333−3−333002-20000-1-111−3−333-11-11−33−33-1-111−3−3332-22-20000-11-11−333−3-11-11−333−30000000000000000
χ5622-2-222-2-2-12200002-22-2-2-2-111-11-11−3−333−3−333002-20000-1-111−3−333-11-11−33−33-1-111−3−333-22-2200001-11-13−3−331-11-13−3−330000000000000000
χ5722-2-222-2-2-1220000-22-22-2-2-111-11-1133−3−333−3−300-220000-1-11133−3−31-11-1−33−3311-1-1−3−3332-2-220000-11-113−3−331-11-1−333−30000000000000000
χ5822-2-222-2-2-1220000-22-22-2-2-111-11-1133−3−333−3−300-220000-1-11133−3−31-11-1−33−3311-1-1−3−333-222-200001-11-1−333−3-11-113−3−330000000000000000
χ5922-2-222-2-2-1220000-22-22-2-2-111-11-11−3−333−3−33300-220000-1-111−3−3331-11-13−33−311-1-133−3−32-2-220000-11-11−333−31-11-13−3−330000000000000000
χ6022-2-222-2-2-1220000-22-22-2-2-111-11-11−3−333−3−33300-220000-1-111−3−3331-11-13−33−311-1-133−3−3-222-200001-11-13−3−33-11-11−333−30000000000000000
χ6122-2-222-2-2-1-2-200002-22-222-111-11-1133−3−333−3−300-22000011-1-1−3−333-11-113−33−311-1-1−3−33300002i−2i2i−2i−i3i3i3−i3−ii−ii−i3i3i3−i3−ii−ii0000000000000000
χ6222-2-222-2-2-1-2-200002-22-222-111-11-1133−3−333−3−300-22000011-1-1−3−333-11-113−33−311-1-1−3−3330000−2i2i−2i2ii3−i3−i3i3i−ii−ii3−i3−i3i3i−ii−i0000000000000000
χ6322-2-222-2-2-1-2-200002-22-222-111-11-11−3−333−3−33300-22000011-1-133−3−3-11-11−33−3311-1-133−3−300002i−2i2i−2ii3−i3−i3i3−ii−iii3−i3−i3i3−ii−ii0000000000000000
χ6422-2-222-2-2-1-2-200002-22-222-111-11-11−3−333−3−33300-22000011-1-133−3−3-11-11−33−3311-1-133−3−30000−2i2i−2i2i−i3i3i3−i3i−ii−i−i3i3i3−i3i−ii−i0000000000000000
χ6522-2-222-2-2-1-2-20000-22-2222-111-11-1133−3−333−3−3002-2000011-1-1−3−3331-11-1−33−33-1-11133−3−300002i−2i−2i2i−i3i3i3−i3−ii−iii3−i3−i3i3i−ii−i0000000000000000
χ6622-2-222-2-2-1-2-20000-22-2222-111-11-1133−3−333−3−3002-2000011-1-1−3−3331-11-1−33−33-1-11133−3−30000−2i2i2i−2ii3−i3−i3i3i−ii−i−i3i3i3−i3−ii−ii0000000000000000
χ6722-2-222-2-2-1-2-20000-22-2222-111-11-11−3−333−3−333002-2000011-1-133−3−31-11-13−33−3-1-111−3−33300002i−2i−2i2ii3−i3−i3i3−ii−ii−i3i3i3−i3i−ii−i0000000000000000
χ6822-2-222-2-2-1-2-20000-22-2222-111-11-11−3−333−3−333002-2000011-1-133−3−31-11-13−33−3-1-111−3−3330000−2i2i2i−2i−i3i3i3−i3i−ii−ii3−i3−i3i3−ii−ii0000000000000000
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χ702-22-22-2-2222-22i−2i2i−2i00002-2-22-22-2-222i−2i2i−2i2i−2i2i−2i00002i−2i002-22-22i−2i2i−2i000000000000000000000000000000000000000000−2i2i00-2200000000
χ712-22-22-2-2222-2−2i2i−2i2i00002-2-22-22-2-22−2i2i−2i2i−2i2i−2i2i0000−2i2i002-22-2−2i2i−2i2i0000000000000000000000000000000000000000002i−2i00-2200000000
χ722-22-22-2-2222-2−2i2i−2i2i00002-2-22-22-2-22−2i2i−2i2i−2i2i−2i2i0000−2i2i002-22-2−2i2i−2i2i000000000000000000000000000000000000000000−2i2i002-200000000
χ732-22-22-2-222-222i−2i2i−2i0000-22-22-22-2-222i−2i2i−2i2i−2i2i−2i0000−2i2i00-22-22−2i2i−2i2i00000000000000000000000000000000000000002i−2i002-20000000000
χ742-22-22-2-222-222i−2i2i−2i0000-22-22-22-2-222i−2i2i−2i2i−2i2i−2i0000−2i2i00-22-22−2i2i−2i2i0000000000000000000000000000000000000000−2i2i00-220000000000
χ752-22-22-2-222-22−2i2i−2i2i0000-22-22-22-2-22−2i2i−2i2i−2i2i−2i2i00002i−2i00-22-222i−2i2i−2i00000000000000000000000000000000000000002i−2i00-220000000000
χ762-22-22-2-222-22−2i2i−2i2i0000-22-22-22-2-22−2i2i−2i2i−2i2i−2i2i00002i−2i00-22-222i−2i2i−2i0000000000000000000000000000000000000000−2i2i002-20000000000
χ774444-4-4-4-4-20044-4-444-4-400-2-2-22222-2-2-2-222224-400000000000000-2-222-2-222000000000000000000000000000000000000000000000000
χ784444-4-4-4-4-20044-4-4-4-44400-2-2-22222-2-2-2-22222-440000000000000022-2-222-2-2000000000000000000000000000000000000000000000000
χ794444-4-4-4-4-200-4-44444-4-400-2-2-222222222-2-2-2-2-4400000000000000-2-22222-2-2000000000000000000000000000000000000000000000000
χ804444-4-4-4-4-200-4-444-4-44400-2-2-222222222-2-2-2-24-40000000000000022-2-2-2-222000000000000000000000000000000000000000000000000
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χ874-44-44-4-44-24-44i−4i4i−4i00004-42-22-222-2−2i2i−2i2i−2i2i−2i2i00004i−4i00-22-22−2i2i−2i2i00000000000000000000000000000000000000000000000000000000
χ884-44-44-4-44-24-4−4i4i−4i4i00004-42-22-222-22i−2i2i−2i2i−2i2i−2i0000−4i4i00-22-222i−2i2i−2i00000000000000000000000000000000000000000000000000000000
χ894-44-44-4-44-2-444i−4i4i−4i0000-442-22-222-2−2i2i−2i2i−2i2i−2i2i0000−4i4i002-22-22i−2i2i−2i00000000000000000000000000000000000000000000000000000000
χ904-44-44-4-44-2-44−4i4i−4i4i0000-442-22-222-22i−2i2i−2i2i−2i2i−2i00004i−4i002-22-2−2i2i−2i2i00000000000000000000000000000000000000000000000000000000
χ914-44-4-444-44004i−4i−4i4i000000-44-4-444-44i−4i4i−4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ924-44-4-444-4400−4i4i4i−4i000000-44-4-444-4−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ934-44-4-444-4-2004i−4i−4i4i0000002-222-2-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000−2i32i3−2i32i323−2323−230000000000000000000000000000000000000000
χ944-44-4-444-4-2004i−4i−4i4i0000002-222-2-22−2i2i−2i2i2i−2i2i−2i0000000000000000000000002i3−2i32i3−2i3−2323−23230000000000000000000000000000000000000000
χ954-44-4-444-4-200−4i4i4i−4i0000002-222-2-222i−2i2i−2i−2i2i−2i2i000000000000000000000000−2i32i3−2i32i3−2323−23230000000000000000000000000000000000000000
χ964-44-4-444-4-200−4i4i4i−4i0000002-222-2-222i−2i2i−2i−2i2i−2i2i0000000000000000000000002i3−2i32i3−2i323−2323−230000000000000000000000000000000000000000
χ974-4-444-44-444-400000000-44-4-4444-4-400000000000000004-4-44000000000000000000000000000000000000000000000000000000000000
χ984-4-444-44-44-44000000004-4-4-4444-4-40000000000000000-444-4000000000000000000000000000000000000000000000000000000000000
χ994-4-444-44-4-24-400000000-4422-2-2-222−2i32i32i3−2i3−2i32i32i3−2i300000000-222-2−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
χ1004-4-444-44-4-24-400000000-4422-2-2-2222i3−2i3−2i32i32i3−2i3−2i32i300000000-222-22i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ1014-4-444-44-4-2-44000000004-422-2-2-222−2i32i32i3−2i3−2i32i32i3−2i3000000002-2-222i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ1024-4-444-44-4-2-44000000004-422-2-2-2222i3−2i3−2i32i32i3−2i3−2i32i3000000002-2-22−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
χ1034-4-44-44-444000000000000-4-44-4-444000000000000004-4000000000000000000004-4-440000000000000000000000000000000000000000
χ1044-4-44-44-444000000000000-4-44-4-44400000000000000-4400000000000000000000-444-40000000000000000000000000000000000000000
χ1054-4-44-44-44-200000000000022-222-2-2−2i32i32i3−2i32i3−2i3−2i32i30000004-40000000000000000−2i32i32i3−2i3-222-20000000000000000000000000000000000000000
χ1064-4-44-44-44-200000000000022-222-2-2−2i32i32i3−2i32i3−2i3−2i32i3000000-4400000000000000002i3−2i3−2i32i32-2-220000000000000000000000000000000000000000
χ1074-4-44-44-44-200000000000022-222-2-22i3−2i3−2i32i3−2i32i32i3−2i30000004-400000000000000002i3−2i3−2i32i3-222-20000000000000000000000000000000000000000
χ1084-4-44-44-44-200000000000022-222-2-22i3−2i3−2i32i3−2i32i32i3−2i3000000-440000000000000000−2i32i32i3−2i32-2-220000000000000000000000000000000000000000

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