Finite Group Databasebeta

← Group #11808425

Character table — Group #11808425

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order1222222233666666666666664444444422344446666666666612121212121212121212121212121212666666121212121212121212121212224444444444441212121212121212121212126612121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111
χ411111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1
χ511111111111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ611111111111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ711111111111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111
χ811111111111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-11111
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-111-1-111-1-111
χ17222222222-122-1-1-122-122-1-1-120000000022-122222222-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220022000022000000000000-1-1-1-1-1-1-1-100000000
χ18222222222-122-1-1-122-122-1-1-120000000022-122222222-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-20000-2-20000000000001111111100000000
χ19222222222-122-1-1-122-122-1-1-120000000022-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1111111111111222200-2-20000-2-2000000000000-1-11111-1-100000000
χ20222222222-122-1-1-122-122-1-1-120000000022-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1111111111111-2-2-2-2002200002200000000000011-1-1-1-11100000000
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χ22222222222-122-1-1-122-122-1-1-1200000000-2-2-122-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-20000000011111111-1-1-1-1-1-11111-2-22200220000-2-20000000000001111-1-1-1-100000000
χ23222222222-122-1-1-122-122-1-1-1200000000-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2222200000000111111-1-1111111-1-1-1-122-2-200220000-2-2000000000000-1-111-1-11100000000
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χ2522222222-12-1-1222-1-12-1-1222-12222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-100002200222200-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-1222-1-12-1-1222-12222222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111110000-2-200-2-2220011111111-1-1-1-10000000000000000
χ2722222222-12-1-1222-1-12-1-1222-122222222-2-2-122-2-21111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-2-21111-2-222-1-1-1-111110000-2-20022-2-200-1-1-1-1111111110000000000000000
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χ3022222222-12-1-1222-1-12-1-1222-1-2-2-2-2-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111111111111122-1-1-1-1-2-2-2-2111111110000220022-2-200-1-1-1-1-1-1-1-111110000000000000000
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χ3222222222-12-1-1222-1-12-1-1222-1-2-2-2-2-2-2-2-2-2-2-1-2-2221111-1-1-1-1-1-1-11111-1-1-1-111111111-2-2111122-2-21111-1-1-1-10000-2-200222200-1-1-1-11111-1-1-1-10000000000000000
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χ36222-2-2-2-22222222-2-2-2-2-2-22-2-22-2-2-2-2222200200−2i2i0000222-2-2-2-20000−2i−2i2i2i-2-2-2-22222000000−2i2i000000−2i−2i2i2i00002i−2i0000000000002i2i−2i−2i00000000000000000000
χ37222-2-2-2-22-12-1-122-211-2112-2-2-12222-2-2-2-200-1002i−2i−i3−i3i3i3-1-1-1111133−3−3−i−iii-1-1-1-1111100−i3−i3i3i32i−2i0033−3−3−i−iii00002i−2i0000000033−3−3−i−iii−i3−i3i3i30000000000000000
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χ39222-2-2-2-22-12-1-122-211-2112-2-2-12222-2-2-2-200-100−2i2i−i3−i3i3i3-1-1-11111−3−333ii−i−i-1-1-1-1111100−i3−i3i3i3−2i2i00−3−333ii−i−i0000−2i2i00000000−3−333ii−i−i−i3−i3i3i30000000000000000
χ40222-2-2-2-22-12-1-122-211-2112-2-2-12222-2-2-2-200-100−2i2ii3i3−i3−i3-1-1-1111133−3−3ii−i−i-1-1-1-1111100i3i3−i3−i3−2i2i0033−3−3ii−i−i0000−2i2i0000000033−3−3ii−i−ii3i3−i3−i30000000000000000
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χ44222-2-2-2-22-12-1-122-211-2112-2-2-1-2-2-2-2222200-100−2i2ii3i3−i3−i3-1-1-1111133−3−3ii−i−i1111-1-1-1-100i3i3−i3−i3−2i2i0033−3−3ii−i−i00002i−2i00000000−3−333−i−iii−i3−i3i3i30000000000000000
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χ702-22-22-22-2-121-1-22211-2-1-1-22-212i−2i2i−2i−2i2i−2i2i00-12i−2i00i3−i3−i3i31-11-1-111−iii−i−333−3−ii−iii−ii−i00i3−i3−i3i3002i−2i−iii−i−333−3000000002-200001-1-11−i3i3i3−i3−333−30000000000000000
χ712-22-22-22-2-121-1-22211-2-1-1-22-212i−2i2i−2i−2i2i−2i2i00-1−2i2i00−i3i3i3−i31-11-1-111i−i−ii−333−3−ii−iii−ii−i00−i3i3i3−i300−2i2ii−i−ii−333−300000000-220000-111-1−i3i3i3−i33−3−330000000000000000
χ722-22-22-22-2-121-1-22211-2-1-1-22-212i−2i2i−2i−2i2i−2i2i00-1−2i2i00i3−i3−i3i31-11-1-111i−i−ii3−3−33−ii−iii−ii−i00i3−i3−i3i300−2i2ii−i−ii3−3−3300000000-220000-111-1i3−i3−i3i3−333−30000000000000000
χ732-22-22-22-2-121-1-22211-2-1-1-22-21−2i2i−2i2i2i−2i2i−2i00-12i−2i00−i3i3i3−i31-11-1-111−iii−i3−3−33i−ii−i−ii−ii00−i3i3i3−i3002i−2i−iii−i3−3−3300000000-220000-111-1−i3i3i3−i3−333−30000000000000000
χ742-22-22-22-2-121-1-22211-2-1-1-22-21−2i2i−2i2i2i−2i2i−2i00-12i−2i00i3−i3−i3i31-11-1-111−iii−i−333−3i−ii−i−ii−ii00i3−i3−i3i3002i−2i−iii−i−333−300000000-220000-111-1i3−i3−i3i33−3−330000000000000000
χ752-22-22-22-2-121-1-22211-2-1-1-22-21−2i2i−2i2i2i−2i2i−2i00-1−2i2i00−i3i3i3−i31-11-1-111i−i−ii−333−3i−ii−i−ii−ii00−i3i3i3−i300−2i2ii−i−ii−333−3000000002-200001-1-11i3−i3−i3i3−333−30000000000000000
χ762-22-22-22-2-121-1-22211-2-1-1-22-21−2i2i−2i2i2i−2i2i−2i00-1−2i2i00i3−i3−i3i31-11-1-111i−i−ii3−3−33i−ii−i−ii−ii00i3−i3−i3i300−2i2ii−i−ii3−3−33000000002-200001-1-11−i3i3i3−i33−3−330000000000000000
χ772-2-22-2-22222-2-2-2-222-2-2-222-2222-2-222-2-2200200000000-2-22-222-2000000002-2-222-2-220000000000000000002-20000000000000000000000002-20000000000002-2
χ782-2-22-2-22222-2-2-2-222-2-2-222-2222-2-222-2-2200200000000-2-22-222-2000000002-2-222-2-22000000000000000000-22000000000000000000000000-22000000000000-22
χ792-2-22-2-22222-2-2-2-222-2-2-222-222-222-2-222-200200000000-2-22-222-200000000-222-2-222-20000000000000000002-20000000000000000000000002-2000000000000-22
χ802-2-22-2-22222-2-2-2-222-2-2-222-222-222-2-222-200200000000-2-22-222-200000000-222-2-222-2000000000000000000-22000000000000000000000000-220000000000002-2
χ812-2-2-222-2222-2-2-2-2-2-2222-222-222-2-22-222-200200000000-2-222-2-22000000002-2-22-222-20000000000000000000000002-200000000000000000000002-200002-20000
χ822-2-2-222-2222-2-2-2-2-2-2222-222-222-2-22-222-200200000000-2-222-2-22000000002-2-22-222-2000000000000000000000000-220000000000000000000000-220000-220000
χ832-2-2-222-2222-2-2-2-2-2-2222-222-22-222-22-2-2200200000000-2-222-2-2200000000-222-22-2-220000000000000000000000002-200000000000000000000002-20000-220000
χ842-2-2-222-2222-2-2-2-2-2-2222-222-22-222-22-2-2200200000000-2-222-2-2200000000-222-22-2-22000000000000000000000000-220000000000000000000000-2200002-20000
χ8544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000004414444-2-2-2-21111111-2-2-2-2-2-2-2-200000000-2-21111-2-2-2-211111111000000000000000000000000000000000000000000
χ8644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000441-4-4-4-4-2-2-2-211111112222222200000000-2-211112222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ8744444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-4-4144-4-422221111111-2-2-2-222220000000022-1-1-1-122-2-21111-1-1-1-1000000000000000000000000000000000000000000
χ8844444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-4-41-4-444222211111112222-2-2-2-20000000022-1-1-1-1-2-222-1-1-1-11111000000000000000000000000000000000000000000
χ89444-4-4-4-444-244-2-22-4-42-4-4-22240000000000-2004i−4i0000-2-2-2222200004i4i−4i−4i00000000000000−2i2i000000−2i−2i2i2i000000000000000000000000000000000000000000
χ90444-4-4-4-444-244-2-22-4-42-4-4-22240000000000-200−4i4i0000-2-2-222220000−4i−4i4i4i000000000000002i−2i0000002i2i−2i−2i000000000000000000000000000000000000000000
χ91444-4-4-4-44-2-2-2-2-2-2222222-222-200000000001004i−4i−2i3−2i32i32i3111-1-1-1-12323−23−23−2i−2i2i2i0000000000i3i3−i3−i3−2i2i00−3−333ii−i−i000000000000000000000000000000000000000000
χ92444-4-4-4-44-2-2-2-2-2-2222222-222-200000000001004i−4i2i32i3−2i3−2i3111-1-1-1-1−23−232323−2i−2i2i2i0000000000−i3−i3i3i3−2i2i0033−3−3ii−i−i000000000000000000000000000000000000000000
χ93444-4-4-4-44-2-2-2-2-2-2222222-222-20000000000100−4i4i−2i3−2i32i32i3111-1-1-1-1−23−2323232i2i−2i−2i0000000000i3i3−i3−i32i−2i0033−3−3−i−iii000000000000000000000000000000000000000000
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χ9544-444-4-4-44-24-4-2224-424-42-2-2-40000000000-200000000-222-22-220000000000000000000000000000000000004-40000000000000000000000000000-2200000000
χ9644-444-4-4-44-24-4-2224-424-42-2-2-40000000000-200000000-222-22-22000000000000000000000000000000000000-4400000000000000000000000000002-200000000
χ9744-444-4-4-4-24-224-4-4-22-4-22-44424i4i−4i−4i4i4i−4i−4i00-200000000-222-22-2200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000
χ9844-444-4-4-4-24-224-4-4-22-4-22-4442−4i−4i4i4i−4i−4i4i4i00-200000000-222-22-22000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000
χ9944-4-4-444-44-24-4-22-2-44-2-44222-40000000000-200000000-2222-22-200000000000000000000000000000000000000000000004i−4i00000000000000−2i2i000000000000
χ10044-4-4-444-44-24-4-22-2-44-2-44222-40000000000-200000000-2222-22-20000000000000000000000000000000000000000000000−4i4i000000000000002i−2i000000000000
χ10144-4-4-444-4-24-224-442-242-2-4-4-424i4i−4i−4i−4i−4i4i4i00-200000000-2222-22-200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000
χ10244-4-4-444-4-24-224-442-242-2-4-4-42−4i−4i4i4i4i4i−4i−4i00-200000000-2222-22-2000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000
χ1034-444-44-4-44-2-442-2244-2-4-422-2-4000000004-4-200004-44-42-2222-2-20000000000000000-22-22-22000000000000000000000000000000000000000000000000000000
χ1044-444-44-4-44-2-442-2244-2-4-422-2-400000000-44-20000-44-442-2222-2-200000000000000002-22-22-2000000000000000000000000000000000000000000000000000000
χ1054-444-44-4-4-2-22-22-22-2-2-22222-22000000004-410000-22-22-11-1-1-111−2i32i3−2i32i3−2i32i3−2i32i300000000-221-11-10000i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000
χ1064-444-44-4-4-2-22-22-22-2-2-22222-22000000004-410000-22-22-11-1-1-1112i3−2i32i3−2i32i3−2i32i3−2i300000000-221-11-10000−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1074-444-44-4-4-2-22-22-22-2-2-22222-2200000000-44100002-22-2-11-1-1-111−2i32i3−2i32i32i3−2i32i3−2i3000000002-2-11-110000i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1084-444-44-4-4-2-22-22-22-2-2-22222-2200000000-44100002-22-2-11-1-1-1112i3−2i32i3−2i3−2i32i3−2i32i3000000002-2-11-110000−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000
χ1094-44-44-44-44-2-442-2-2-4-42442-22-40000000000-24i−4i0000002-22-2-2224i−4i−4i4i00000000000000000000−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000
χ1104-44-44-44-44-2-442-2-2-4-42442-22-40000000000-2−4i4i0000002-22-2-222−4i4i4i−4i000000000000000000002i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000
χ1114-44-44-44-4-2-22-22-2-2222-2-22-222000000000014i−4i00−2i32i32i3−2i3-11-111-1-1−2i2i2i−2i23−23−23230000000000i3−i3−i3i300−2i2ii−i−ii−333−3000000000000000000000000000000000000000000
χ1124-44-44-44-4-2-22-22-2-2222-2-22-222000000000014i−4i002i3−2i3−2i32i3-11-111-1-1−2i2i2i−2i−232323−230000000000−i3i3i3−i300−2i2ii−i−ii3−3−33000000000000000000000000000000000000000000
χ1134-44-44-44-4-2-22-22-2-2222-2-22-22200000000001−4i4i00−2i32i32i3−2i3-11-111-1-12i−2i−2i2i−232323−230000000000i3−i3−i3i3002i−2i−iii−i3−3−33000000000000000000000000000000000000000000
χ1144-44-44-44-4-2-22-22-2-2222-2-22-22200000000001−4i4i002i3−2i3−2i32i3-11-111-1-12i−2i−2i2i23−23−23230000000000−i3i3i3−i3002i−2i−iii−i−333−3000000000000000000000000000000000000000000
χ1154-4-44-4-4444-2-4-422-24-42-44-22-240000000000-20000000022-22-2-2200000000000000000000000000000000004-4000000000000000000000000-2200000000000000
χ1164-4-44-4-4444-2-4-422-24-42-44-22-240000000000-20000000022-22-2-220000000000000000000000000000000000-440000000000000000000000002-200000000000000
χ1174-4-44-4-444-2422-4-44-22-42-24-44-24-4-444-4-4400-20000000022-22-2-2200000000-222-2-222-2000000000000000000000000000000000000000000000000000000000000
χ1184-4-44-4-444-2422-4-44-22-42-24-44-2-444-4-444-400-20000000022-22-2-22000000002-2-222-2-22000000000000000000000000000000000000000000000000000000000000
χ1194-4-4-444-444-2-4-4222-44-24-4-2-2240000000000-20000000022-2-222-200000000000000000000000000000000000000004-40000000000000000000000-220000000000
χ1204-4-4-444-444-2-4-4222-44-24-4-2-2240000000000-20000000022-2-222-20000000000000000000000000000000000000000-4400000000000000000000002-20000000000
χ1214-4-4-444-44-2422-4-4-42-24-2244-4-24-4-44-444-400-20000000022-2-222-200000000-222-22-2-22000000000000000000000000000000000000000000000000000000000000
χ1224-4-4-444-44-2422-4-4-42-24-2244-4-2-444-44-4-4400-20000000022-2-222-2000000002-2-22-222-2000000000000000000000000000000000000000000000000000000000000
χ12388-888-8-8-8-4-4-44-444-444-444-4-4400000000002000000002-2-22-22-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8-888-8-4-4-44-44-44-4-44-4444400000000002000000002-2-2-22-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-8-888-4-44444-4-4444-4-44-4-40000000000200000000-2-22-222-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-8-888-88-4-4444444-4-4-44-4-44-40000000000200000000-2-222-2-220000000000000000000000000000000000000000000000000000000000000000000000000000

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