Finite Group Databasebeta

← Group #13168285

Character table — Group #13168285

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order12223336666666663334666666666121212121212121222441212121236661212121212121212122444666666666666121212121212121212124466121212121212121212124444412121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-111111111-1-11-111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1111-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-11-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-111111111111111111111-111-1-111-1-1111111-1-111111111-1-1-1-111-11-1-11111-1-1-111-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-111-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-11-1-11111-1-11-1-11111-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-11-11-1-1-11111-11-1-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-111-1-111111111-11-11-1-1-1-1111-1-1-11-1-111-1-11-111-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1111111111111-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-111-1-1-111-1111-1-111-1-111-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1-1-1-1111-111-111-1-1-1-111-1-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-11-11111-1-11-111-111-1-1-1-111-11-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111111-1-111-111-1111-1-111-1-11-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-111-1-111111111-1-111-1-1-1-111-1-11-11-11111-1-11-1-1-11-1-111-1-11-11-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-111111-1-111-11-11-1-1-11111-11-11-1
χ17222222-122-1-122-1222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-122002222-1-1-1-1-1-1-1-1-1-12200-1-1-1-122-1-10020-1-1000000200-1-1-1-10000000
χ18222222-122-1-122-1222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-122-2-21111-1-1-1-12-1-122-1-1-1-1-220022-2-2-1-1111111-1-1-2-2001111-2-2-1-10020-1-1000000-20011110000000
χ19222222-122-1-122-1222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-122-1-1-1-12-200-2-22211-1-1-1-1-1-1112200-1-1-1-1-2-21100-2011000000-20011110000000
χ20222222-122-1-122-1222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-2-200-2-2-2-21111111111-2-2001111221100-2011000000200-1-1-1-10000000
χ21222222-122-1-122-1222-1-1-222-1-1-1-1-1-12-2-21111112222-1-1-1-1-1-1-1-1-211-2-21111-2-20022-2-2-1-1111111112200-1-1-1-122-1-100-2011000000-20011-1-10000000
χ22222222-122-1-122-1222-1-1-222-1-1-1-1-1-12-2-211111122-2-21111-1-1-1-1-211-2-211112-2002222-1-1-1-1-1-1-1-111-2-2001111-2-2-1-100-2011000000200-1-1110000000
χ23222222-122-1-122-1222-1-1-222-1-1-1-1-1-12-2-2111111-2-222-1-1-1-1-1-1-1-1-211-2-21111-2200-2-2-2-211111111-1-12200-1-1-1-1-2-2110020-1-1000000200-1-1110000000
χ24222222-122-1-122-1222-1-1-222-1-1-1-1-1-12-2-2111111-2-2-2-21111-1-1-1-1-211-2-211112200-2-22211-1-1-1-1-1-1-1-1-2-200111122110020-1-1000000-20011-1-10000000
χ2522222-122-1222-12-12-12-12-1-122-1-1-12-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-10222-1-100220000002200-1-1000000-1-122-1-1-1-1-1-1-1-1220000000-1-1-10000
χ2622222-122-1222-12-12-12-12-1-122-1-1-12-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-102-2-2-1-10022000000220011000000-1-1-2-2-11-1-11111-2-200000001110000
χ2722222-122-1222-12-12-12-12-1-122-1-1-12-122222222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-10-2221100-2-2000000-2-200-1-100000011221-111-1-1-1-1-2-200000001110000
χ2822222-122-1222-12-12-12-12-1-122-1-1-12-122222222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-21100-2-2000000-2-2001100000011-2-211111111220000000-1-1-10000
χ2922222-122-1222-12-12-12-1-2-1-122-1-1-12-1-2-2-2-2-2-2-2-222000000-1-1-1-11111111110-22-2-1-10022000000-2-200-1-1000000-1-12-21111-1-111-220000000-1-110000
χ3022222-122-1222-12-12-12-1-2-1-122-1-1-12-1-2-2-2-2-2-2-2-222000000-1-1-1-11111111110-2-22-1-10022000000-2-20011000000-1-1-221-11111-1-12-2000000011-10000
χ3122222-122-1222-12-12-12-1-2-1-122-1-1-12-1-2-2-2-2-2-2-2-2-2-2000000-1-1-1-1111111111022-21100-2-20000002200-1-1000000112-2-11-1-1-1-1112-2000000011-10000
χ3222222-122-1222-12-12-12-1-2-1-122-1-1-12-1-2-2-2-2-2-2-2-2-2-2000000-1-1-1-111111111102-221100-2-200000022001100000011-22-1-1-1-111-1-1-220000000-1-110000
χ332222-122-1222-1222-1-1-122-1-1-1-1222-1-1-1-122-1-1-1-100222222-1-1-1-1222-1-1-1-1-1-1202200-1-10022-1-1-1-100-1-122-1-1-1-10000-1-10200-1-1-1-1000220000000-1-100
χ342222-122-1222-1222-1-1-122-1-1-1-1222-1-1-1-122-1-1-1-100222222-1-1-1-1222-1-1-1-1-1-120-2-200-1-10022-1-1-1-100-1-1-2-2-1-1-1-10000110-2001111000-2-200000001100
χ352222-122-1222-1222-1-1-122-1-1-1-1222-1-1-1-122-1-1-1-100-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-2022001100-2-2111100112211110000-1-10200-1-1-1-1000-2-200000001100
χ362222-122-1222-1222-1-1-122-1-1-1-1222-1-1-1-122-1-1-1-100-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-20-2-2001100-2-211110011-2-211110000110-2001111000220000000-1-100
χ372222-122-1222-1222-1-1-12-2-1-1-1-1222-1-111-2-2111100222222-1-1-1-1-2-2-2111111-202-2001100-2-2111100-1-122-1-1-1-10000-110-200-1-1110002-20000000-1100
χ382222-122-1222-1222-1-1-12-2-1-1-1-1222-1-111-2-2111100222222-1-1-1-1-2-2-2111111-20-22001100-2-2111100-1-1-2-2-1-1-1-100001-1020011-1-1000-2200000001-100
χ392222-122-1222-1222-1-1-12-2-1-1-1-1222-1-111-2-2111100-2-2-2-2-2-2-1-1-1-1-2-2-2111111202-200-1-10022-1-1-1-100112211110000-110-200-1-111000-2200000001-100
χ402222-122-1222-1222-1-1-12-2-1-1-1-1222-1-111-2-2111100-2-2-2-2-2-2-1-1-1-1-2-2-211111120-2200-1-10022-1-1-1-10011-2-2111100001-1020011-1-10002-20000000-1100
χ412-2-22222-22-22-2-2-2-2222202-22-22-2-2-2-2000000002-22i−2i2i2i−2i−2i22-2-200000000000002-2002-2000000002i−2i002i2i−2i−2i2i−2i2-2000000000000000002i−2i0000000
χ422-2-22222-22-22-2-2-2-2222202-22-22-2-2-2-2000000002-2−2i2i−2i−2i2i2i22-2-200000000000002-2002-200000000−2i2i00−2i−2i2i2i−2i2i2-200000000000000000−2i2i0000000
χ432-2-22222-22-22-2-2-2-2222202-22-22-2-2-2-200000000-222i−2i2i2i−2i−2i22-2-20000000000000-2200-22000000002i−2i002i2i−2i−2i−2i2i-2200000000000000000−2i2i0000000
χ442-2-22222-22-22-2-2-2-2222202-22-22-2-2-2-200000000-22−2i2i−2i−2i2i2i22-2-20000000000000-2200-2200000000−2i2i00−2i−2i2i2i2i−2i-22000000000000000002i−2i0000000
χ452-2-2222-1-221-1-2-21-222-1-102-2-11-1111-2003−333−3−32-22i−2i−i−iii-1-11103−30033−3−300002-200-11−i3i3−i3−i3i3i33−32i−2i00−i−iii2i−2i-1100003−3000000000−i3i3−ii0000000
χ462-2-2222-1-221-1-2-21-222-1-102-2-11-1111-2003−333−3−32-2−2i2iii−i−i-1-11103−30033−3−300002-200-11i3−i3i3i3−i3−i33−3−2i2i00ii−i−i−2i2i-1100003−3000000000i3−i3i−i0000000
χ472-2-2222-1-221-1-2-21-222-1-102-2-11-1111-2003−333−3−3-222i−2i−i−iii-1-11103−30033−3−30000-22001-1−i3i3−i3−i3i3i3−332i−2i00−i−iii−2i2i1-10000−33000000000i3−i3i−i0000000
χ482-2-2222-1-221-1-2-21-222-1-102-2-11-1111-2003−333−3−3-22−2i2iii−i−i-1-11103−30033−3−30000-22001-1i3−i3i3i3−i3−i3−33−2i2i00ii−i−i2i−2i1-10000−33000000000−i3i3−ii0000000
χ492-2-2222-1-221-1-2-21-222-1-102-2-11-1111-200−33−3−3332-22i−2i−i−iii-1-1110−3300−3−33300002-200-11i3−i3i3i3−i3−i3−332i−2i00−i−iii2i−2i-110000−33000000000i3−i3−ii0000000
χ502-2-2222-1-221-1-2-21-222-1-102-2-11-1111-200−33−3−3332-2−2i2iii−i−i-1-1110−3300−3−33300002-200-11−i3i3−i3−i3i3i3−33−2i2i00ii−i−i−2i2i-110000−33000000000−i3i3i−i0000000
χ512-2-2222-1-221-1-2-21-222-1-102-2-11-1111-200−33−3−333-222i−2i−i−iii-1-1110−3300−3−3330000-22001-1i3−i3i3i3−i3−i33−32i−2i00−i−iii−2i2i1-100003−3000000000−i3i3i−i0000000
χ522-2-2222-1-221-1-2-21-222-1-102-2-11-1111-200−33−3−333-22−2i2iii−i−i-1-1110−3300−3−3330000-22001-1−i3i3−i3−i3i3i33−3−2i2i00ii−i−i2i−2i1-100003−3000000000i3−i3−ii0000000
χ5344444-2-24-2-2-24-2-2-24-2-214-2-2-2-2111-2-244-2-2-2-2-2-2440000001111-211-2-211110400-2-200-2-2000000-2-200000000001100-201100000000000000000000
χ5444444-2-24-2-2-24-2-2-24-2-214-2-2-2-2111-2-244-2-2-2-2-2-2-4-40000001111-211-2-211110-400220022000000220000000000-1-10020-1-100000000000000000000
χ5544444-2-24-2-2-24-2-2-24-2-21-4-2-2-2-2111-2-2-4-42222224400000011112-1-122-1-1-1-10-400-2-200-2-2000000220000000000110020-1-100000000000000000000
χ5644444-2-24-2-2-24-2-2-24-2-21-4-2-2-2-2111-2-2-4-4222222-4-400000011112-1-122-1-1-1-10400220022000000-2-20000000000-1-100-201100000000000000000000
χ574444-24-2-24-2-2-24-24-2-21-24-2-211-2-2-21-2-2-2-2-211110044-2-2-2-211114-2-2-2-21111400000-2-200-2-2111100-2-2001111000000000000000000000000000000
χ584444-24-2-24-2-2-24-24-2-21-24-2-211-2-2-21-2-2-2-2-2111100-4-4222211114-2-2-2-21111-400000220022-1-1-1-1002200-1-1-1-1000000000000000000000000000000
χ594444-24-2-24-2-2-24-24-2-21-2-4-2-211-2-2-21-22222-1-1-1-10044-2-2-2-21111-42222-1-1-1-1-400000220022-1-1-1-100-2-2001111000000000000000000000000000000
χ604444-24-2-24-2-2-24-24-2-21-2-4-2-211-2-2-21-22222-1-1-1-100-4-422221111-42222-1-1-1-1400000-2-200-2-21111002200-1-1-1-1000000000000000000000000000000
χ614444-2-24-2-244-2-24-2-21-2-2411-2-2-2-2-2-21-2-244-2-2-2-2000000001111-2-2-211111100440000000000000000-2-200000000-2-20-20011110000000000000000
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χ764-44-4444-4-4-4-44-444-44440-4-4-4-4-44-44400000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000
χ774-44-444-2-4-4224-4-24-44-2-20-4-4222-22-24000000000000−2i32i32i3−2i3-222-20000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ784-44-444-2-4-4224-4-24-44-2-20-4-4222-22-240000000000002i3−2i3−2i32i3-222-200000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ794-44-44-24-42-4-4424-2-4-24-2022-4-42-224-20000000000000000-222-200000000000000000000000000000−2i32i300000000000000−2i32i3000000000000000000
χ804-44-44-24-42-4-4424-2-4-24-2022-4-42-224-20000000000000000-222-2000000000000000000000000000002i3−2i3000000000000002i3−2i3000000000000000000
χ814-44-4-2442-4-4-4-2-4442-2-2402222-44-4-2-2−2i32i300−2i32i32i3−2i300000000-222-2000−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
χ824-44-4-2442-4-4-4-2-4442-2-2402222-44-4-2-22i3−2i3002i3−2i3−2i32i300000000-222-20002i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
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χ844-44-4-24-22-422-2-4-242-21-2022-1-12-221-2−2i32i300i3−i3−i3i300002i3−2i3−2i32i31-1-11000−2i32i3i3−i3−i3i3000000000000-333-3000000−i3i3i3−i3000000000000000000000000000000
χ854-44-4-24-22-422-2-4-242-21-2022-1-12-221-22i3−2i300−i3i3i3−i30000−2i32i32i3−2i31-1-110002i3−2i3−i3i3i3−i3000000000000-333-3000000i3−i3−i3i3000000000000000000000000000000
χ864-44-4-24-22-422-2-4-242-21-2022-1-12-221-22i3−2i300−i3i3i3−i300002i3−2i3−2i32i31-1-110002i3−2i3−i3i3i3−i30000000000003-3-33000000−i3i3i3−i3000000000000000000000000000000
χ874-44-4-2-2422-4-4-224-221-2-20-1-1222-22-21−2i32i300−2i32i32i3−2i3000000001-1-11000i3−i3i3−i3−i3i300000000000000000000−2i32i300000000000000i3−i33-30000000000000000
χ884-44-4-2-2422-4-4-224-221-2-20-1-1222-22-21−2i32i300−2i32i32i3−2i3000000001-1-11000i3−i3i3−i3−i3i3000000000000000000002i3−2i300000000000000−i3i3-330000000000000000
χ894-44-4-2-2422-4-4-224-221-2-20-1-1222-22-212i3−2i3002i3−2i3−2i32i3000000001-1-11000−i3i3−i3i3i3−i300000000000000000000−2i32i300000000000000i3−i3-330000000000000000
χ904-44-4-2-2422-4-4-224-221-2-20-1-1222-22-212i3−2i3002i3−2i3−2i32i3000000001-1-11000−i3i3−i3i3i3−i3000000000000000000002i3−2i300000000000000−i3i33-30000000000000000
χ914-4-444-24-4-2-44-42-424-24-20-224-4-222-42000000004-4000000-2-2220000000000000-22004-4000000000000000000-2200000000000000000000000000
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χ944-4-444-2-2-4-22-2-42224-2-210-22-221-1-1220023−232323−23−23-4400000011-1-10−3300−3−33300002-2002-2000000−23230000000000-1100003−300000000000000000000
χ954-4-444-2-2-4-22-2-42224-2-210-22-221-1-12200−2323−23−2323234-400000011-1-103−30033−3−30000-2200-22000000−232300000000001-100003−300000000000000000000
χ964-4-444-2-2-4-22-2-42224-2-210-22-221-1-12200−2323−23−232323-4400000011-1-103−30033−3−300002-2002-200000023−230000000000-110000−3300000000000000000000
χ974-4-44-24424-442-4-4-4-2-2-240-22-224-4-42200000000004i−4i4i4i−4i−4i-2-222000000000000000000000000000−2i2i00−2i−2i2i2i000000000000000000000000000000
χ984-4-44-24424-442-4-4-4-2-2-240-22-224-4-4220000000000−4i4i−4i−4i4i4i-2-2220000000000000000000000000002i−2i002i2i−2i−2i000000000000000000000000000000
χ994-4-44-24-2242-22-42-4-2-21-20-221-1-222-120023−23−3−333004i−4i−2i−2i2i2i11-1-1023−2300−3−3330000000000−2i32i3i3i3−i3−i300−2i2i00ii−i−i000000000000000000000000000000
χ1004-4-44-24-2242-22-42-4-2-21-20-221-1-222-120023−23−3−33300−4i4i2i2i−2i−2i11-1-1023−2300−3−33300000000002i3−2i3−i3−i3i3i3002i−2i00−i−iii000000000000000000000000000000
χ1014-4-44-24-2242-22-42-4-2-21-20-221-1-222-1200−232333−3−3004i−4i−2i−2i2i2i11-1-10−23230033−3−300000000002i3−2i3−i3−i3i3i300−2i2i00ii−i−i000000000000000000000000000000
χ1024-4-44-24-2242-22-42-4-2-21-20-221-1-222-1200−232333−3−300−4i4i2i2i−2i−2i11-1-10−23230033−3−30000000000−2i32i3i3i3−i3−i3002i−2i00−i−iii000000000000000000000000000000
χ1038888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-4222200000000-1-1-1-1-42222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ1048888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-200000000-1-1-1-14-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ10588-8-88-4-484-44-8-444-8-4-4204-44-4-2-224400000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-48-448-84-4-8442-4-40-224-444-44-200000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-4-44-444-44442220-22-22-2-22-2-200006i−6i6i−6i00000000-11-1100000−3i3i−3i3i00000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-4-44-444-44442220-22-22-2-22-2-20000−6i6i−6i6i00000000-11-11000003i−3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1098-88-88-4-4-844484-4-4-8-4-4204444-22-2-4-400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-44444-44-4-442220-2-2-2-2-22-222−4i34i3002i3−2i3−2i32i300000000-111-10002i3−2i3−i3i3i3−i300000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-44444-44-4-442220-2-2-2-2-22-2224i3−4i300−2i32i32i3−2i300000000-111-1000−2i32i3i3−i3−i3i300000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-484-4-8844-84-42-4-402-2-44-4444-2000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-44-44-44444-422202-22-22-2-2-2-20043−43−23−23232300000000-1-1110−23230033−3−300000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-44-44-44444-422202-22-22-2-2-2-200−43432323−23−2300000000-1-111023−2300−3−33300000000000000000000000000000000000000000000000000000000

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