Finite Group Databasebeta

← Group #13172361

Character table — Group #13172361

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111222222222222444444444444666666666666888812121212121212121212121212121212121212121218181818181836363636363610811112222222222224444444444446666666666668888121212121212121212121212121212121212121212181818181818363636363636108
order122233366666666633366666666622446666121212123666466666612121212121212121212121212124412121212246612122222266666666666666666666666622446666121212126666466666612121212121212121212121212124412121212246612122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-111111111111111111111111111111111111111111111-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-1-1-11-111-1-1-1111111111111111111111111111111-1-11111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-1-1-11-111-1-1-1
χ4111111111111111111111111111111-1-11111-1-1-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111111111111111111111111-1-11111-1-1-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111111111-1-111-1-1-1-1111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-11-1-111-11111111111111111111111111111-1-111-1-1-1-1111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-11-1-111-1
χ61111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-11
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1
χ9222222-1222-1-12-1222-1-122-1-1-1-1-12-1220022220000-1-1-1-12-1-1-1-1-1-100-1-1220000-1-1-1-100000020-1-1000222222-1222-1-12-1222-1-122-1-1-1-1-12-1220022220000-1-1-1-12-1-1-1-1-1-100-1-1220000-1-1-1-100000020-1-1000
χ10222222-1222-1-12-1222-1-122-1-1-1-1-12-1220022220000-1-1-1-1-2-1-1-1-1-1-10011-2-200001111000000-2011000222222-1222-1-12-1222-1-122-1-1-1-1-12-1220022220000-1-1-1-1-2-1-1-1-1-1-10011-2-200001111000000-2011000
χ11222222-1222-1-12-1222-1-122-1-1-1-1-12-1-2-200-2-2-2-20000-1-1-1-1211111100-1-1220000-1-1-1-1000000-2011000222222-1222-1-12-1222-1-122-1-1-1-1-12-1-2-200-2-2-2-20000-1-1-1-1211111100-1-1220000-1-1-1-1000000-2011000
χ12222222-1222-1-12-1222-1-122-1-1-1-1-12-1-2-200-2-2-2-20000-1-1-1-1-21111110011-2-20000111100000020-1-1000222222-1222-1-12-1222-1-122-1-1-1-1-12-1-2-200-2-2-2-20000-1-1-1-1-21111110011-2-20000111100000020-1-1000
χ1322222-122-1-122222-1-12-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1022-1-1-1-1220000-1-1-1-1000022-1-1-1-1000000022222-122-1-122222-1-12-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1022-1-1-1-1220000-1-1-1-1000022-1-1-1-10000000
χ1422222-122-1-122222-1-12-1-1-122-1-1-1-1222-2-2-1-1-1-11111-1-1-1-1022-1-1-1-1-2-2000011110000-2-21111000000022222-122-1-122222-1-12-1-1-122-1-1-1-1222-2-2-1-1-1-11111-1-1-1-1022-1-1-1-1-2-2000011110000-2-211110000000
χ1522222-122-1-122222-1-12-1-1-122-1-1-1-12-2-2221111-1-1-1-1-1-1-1-10-2-21111220000-1-1-1-10000-2-21111000000022222-122-1-122222-1-12-1-1-122-1-1-1-12-2-2221111-1-1-1-1-1-1-1-10-2-21111220000-1-1-1-10000-2-211110000000
χ1622222-122-1-122222-1-12-1-1-122-1-1-1-12-2-2-2-211111111-1-1-1-10-2-21111-2-200001111000022-1-1-1-1000000022222-122-1-122222-1-12-1-1-122-1-1-1-12-2-2-2-211111111-1-1-1-10-2-21111-2-200001111000022-1-1-1-10000000
χ172222-122-12222-12-12-1-12-1-1-1-1222-1-1002200002222-1-1-1-12000000-1-122-1-1-1-1-1-1-1-1-1-10000000200-1-102222-122-12222-12-12-1-12-1-1-1-1222-1-1002200002222-1-1-1-12000000-1-122-1-1-1-1-1-1-1-1-1-10000000200-1-10
χ182222-122-12222-12-12-1-12-1-1-1-1222-1-1002200002222-1-1-1-1-2000000-1-1-2-211-1-1-1-111110000000-2001102222-122-12222-12-12-1-12-1-1-1-1222-1-1002200002222-1-1-1-1-2000000-1-1-2-211-1-1-1-111110000000-200110
χ192222-122-12222-12-12-1-12-1-1-1-1222-1-100-2-20000-2-2-2-2-1-1-1-120000001122-1-11111-1-1-1-10000000-2001102222-122-12222-12-12-1-12-1-1-1-1222-1-100-2-20000-2-2-2-2-1-1-1-120000001122-1-11111-1-1-1-10000000-200110
χ202222-122-12222-12-12-1-12-1-1-1-1222-1-100-2-20000-2-2-2-2-1-1-1-1-200000011-2-211111111110000000200-1-102222-122-12222-12-12-1-12-1-1-1-1222-1-100-2-20000-2-2-2-2-1-1-1-1-200000011-2-211111111110000000200-1-10
χ2122-2-222222-22-2-2-2-2-22222-22-22-2-2-2-200000000000022-2-20000000000000000000002i−2i2i2i−2i−2i000000022-2-222222-22-2-2-2-2-22222-22-22-2-2-2-200000000000022-2-20000000000000000000002i−2i2i2i−2i−2i0000000
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χ2322-2-22-122-112-2-2-2-21-12-1-112-2-1111-20000−i3−i3i3i333−3−3-1-111000−i3−i3i3i300000033−3−300002i−2i−i−iii000000022-2-22-122-112-2-2-2-21-12-1-112-2-1111-20000−i3−i3i3i333−3−3-1-111000−i3−i3i3i300000033−3−300002i−2i−i−iii0000000
χ2422-2-22-122-112-2-2-2-21-12-1-112-2-1111-20000−i3−i3i3i3−3−333-1-111000−i3−i3i3i3000000−3−3330000−2i2iii−i−i000000022-2-22-122-112-2-2-2-21-12-1-112-2-1111-20000−i3−i3i3i3−3−333-1-111000−i3−i3i3i3000000−3−3330000−2i2iii−i−i0000000
χ2522-2-22-122-112-2-2-2-21-12-1-112-2-1111-20000i3i3−i3−i333−3−3-1-111000i3i3−i3−i300000033−3−30000−2i2iii−i−i000000022-2-22-122-112-2-2-2-21-12-1-112-2-1111-20000i3i3−i3−i333−3−3-1-111000i3i3−i3−i300000033−3−30000−2i2iii−i−i0000000
χ2622-2-22-122-112-2-2-2-21-12-1-112-2-1111-20000i3i3−i3−i3−3−333-1-111000i3i3−i3−i3000000−3−33300002i−2i−i−iii000000022-2-22-122-112-2-2-2-21-12-1-112-2-1111-20000i3i3−i3−i3−3−333-1-111000i3i3−i3−i3000000−3−33300002i−2i−i−iii0000000
χ272-22-2222-2-22-2-2-222-2222-22-2-2-22-2-222-2002-22-200002-22-202-22-22-20000000000000000000000000002-22-2222-2-22-2-2-222-2222-22-2-2-22-2-222-2002-22-200002-22-202-22-22-2000000000000000000000000000
χ282-22-2222-2-22-2-2-222-2222-22-2-2-22-2-22-2200-22-2200002-22-20-22-22-220000000000000000000000000002-22-2222-2-22-2-2-222-2222-22-2-2-22-2-22-2200-22-2200002-22-20-22-22-22000000000000000000000000000
χ292-22-222-1-2-2211-2-12-22-1-1-22111-11-2-12-2002-22-20000-11-110-11-11-1100−i3i3000000−i3−i3i3i300000000−i3i30002-22-222-1-2-2211-2-12-22-1-1-22111-11-2-12-2002-22-20000-11-110-11-11-1100−i3i3000000−i3−i3i3i300000000−i3i3000
χ302-22-222-1-2-2211-2-12-22-1-1-22111-11-2-12-2002-22-20000-11-110-11-11-1100i3−i3000000i3i3−i3−i300000000i3−i30002-22-222-1-2-2211-2-12-22-1-1-22111-11-2-12-2002-22-20000-11-110-11-11-1100i3−i3000000i3i3−i3−i300000000i3−i3000
χ312-22-222-1-2-2211-2-12-22-1-1-22111-11-2-1-2200-22-220000-11-1101-11-11-100−i3i3000000−i3−i3i3i300000000i3−i30002-22-222-1-2-2211-2-12-22-1-1-22111-11-2-1-2200-22-220000-11-1101-11-11-100−i3i3000000−i3−i3i3i300000000i3−i3000
χ322-22-222-1-2-2211-2-12-22-1-1-22111-11-2-1-2200-22-220000-11-1101-11-11-100i3−i3000000i3i3−i3−i300000000−i3i30002-22-222-1-2-2211-2-12-22-1-1-22111-11-2-1-2200-22-220000-11-1101-11-11-100i3−i3000000i3i3−i3−i300000000−i3i3000
χ332-22-22-12-21-1-2-2-2221-12-11-1-2-21-11122-200-11-113−33−3-11-1102-2-11-110000003−33−30000003−33−300000002-22-22-12-21-1-2-2-2221-12-11-1-2-21-11122-200-11-113−33−3-11-1102-2-11-110000003−33−30000003−33−30000000
χ342-22-22-12-21-1-2-2-2221-12-11-1-2-21-11122-200-11-11−33−33-11-1102-2-11-11000000−33−33000000−33−3300000002-22-22-12-21-1-2-2-2221-12-11-1-2-21-11122-200-11-11−33−33-11-1102-2-11-11000000−33−33000000−33−330000000
χ352-22-22-12-21-1-2-2-2221-12-11-1-2-21-1112-22001-11-13−33−3-11-110-221-11-10000003−33−3000000−33−3300000002-22-22-12-21-1-2-2-2221-12-11-1-2-21-1112-22001-11-13−33−3-11-110-221-11-10000003−33−3000000−33−330000000
χ362-22-22-12-21-1-2-2-2221-12-11-1-2-21-1112-22001-11-1−33−33-11-110-221-11-1000000−33−330000003−33−300000002-22-22-12-21-1-2-2-2221-12-11-1-2-21-1112-22001-11-1−33−33-11-110-221-11-1000000−33−330000003−33−30000000
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χ422-2-222-12-211-222-2-2-1-12-111-2211-1-1-200-22i3−i3−i3i31-1-11-111-1000i3−i3−i3i3-2200001-1-11000000−i3i3i3−i300000002-2-222-12-211-222-2-2-1-12-111-2211-1-1-200-22i3−i3−i3i31-1-11-111-1000i3−i3−i3i3-2200001-1-11000000−i3i3i3−i30000000
χ432-2-22-1221-2-2-22-1-212-1-12111-1-2-22-11002-200002-2-22-111-10000000-11003−3-111-13−33−300000000003−302-2-22-1221-2-2-22-1-212-1-12111-1-2-22-11002-200002-2-22-111-10000000-11003−3-111-13−33−300000000003−30
χ442-2-22-1221-2-2-22-1-212-1-12111-1-2-22-11002-200002-2-22-111-10000000-1100−33-111-1−33−330000000000−3302-2-22-1221-2-2-22-1-212-1-12111-1-2-22-11002-200002-2-22-111-10000000-1100−33-111-1−33−330000000000−330
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χ1212-2-22-1221-2-2-22-1-212-1-12111-1-2-22-11002-200002-2-22-111-10000000-11003−3-111-13−33−300000000003−30-222-21-2-2-1222-212-1-211-2-1-1-1122-21-100-220000-222-21-1-1100000001-100−331-1-11−33−330000000000−330
χ1222-2-22-1221-2-2-22-1-212-1-12111-1-2-22-11002-200002-2-22-111-10000000-1100−33-111-1−33−330000000000−330-222-21-2-2-1222-212-1-211-2-1-1-1122-21-100-220000-222-21-1-1100000001-1003−31-1-113−33−300000000003−30
χ1232-2-22-1221-2-2-22-1-212-1-12111-1-2-22-1100-220000-222-2-111-100000001-1003−31-1-113−33−30000000000−330-222-21-2-2-1222-212-1-211-2-1-1-1122-21-1002-200002-2-221-1-110000000-1100−33-111-1−33−3300000000003−30
χ1242-2-22-1221-2-2-22-1-212-1-12111-1-2-22-1100-220000-222-2-111-100000001-100−331-1-11−33−3300000000003−30-222-21-2-2-1222-212-1-211-2-1-1-1122-21-1002-200002-2-221-1-110000000-11003−3-111-13−33−30000000000−330
χ12544444-2-24-2-2-2-24-24-2-2-21-2-2-2-2111-2-24400-2-2-2-2000011110-2-21111000000000000000000000000000-4-4-4-4-422-42222-42-4222-12222-1-1-122-4-40022220000-1-1-1-1022-1-1-1-1000000000000000000000000000
χ12644444-2-24-2-2-2-24-24-2-2-21-2-2-2-2111-2-2-4-400222200001111022-1-1-1-1000000000000000000000000000-4-4-4-4-422-42222-42-4222-12222-1-1-1224400-2-2-2-20000-1-1-1-10-2-21111000000000000000000000000000
χ1274444-24-2-244-2-2-2-2-24-21-2-2-211-2-2-2-210000000000001111400000000-2-2-2-2000011110000000000000-4-4-4-42-422-4-422222-42-1222-1-12222-1000000000000-1-1-1-1-40000000022220000-1-1-1-10000000000000
χ1284444-24-2-244-2-2-2-2-24-21-2-2-211-2-2-2-210000000000001111-40000000022220000-1-1-1-10000000000000-4-4-4-42-422-4-422222-42-1222-1-12222-1000000000000-1-1-1-1400000000-2-2-2-2000011110000000000000
χ1294444-2-24-2-2-244-24-2-21-2-211-2-2-2-2-21-200440000-2-2-2-211110000000-2-20000111100000000000000000-4-4-4-422-4222-4-42-422-122-1-122222-1200-4-400002222-1-1-1-10000000220000-1-1-1-100000000000000000
χ1304444-2-24-2-2-244-24-2-21-2-211-2-2-2-2-21-200-4-40000222211110000000220000-1-1-1-100000000000000000-4-4-4-422-4222-4-42-422-122-1-122222-1200440000-2-2-2-2-1-1-1-10000000-2-20000111100000000000000000
χ13144-4-444-244-4-22-42-4-44-2-24-4-22-222-42000000000000-2-2220000000000000000000000000000000000-4-444-4-42-4-442-24-244-422-442-22-2-24-200000000000022-2-20000000000000000000000000000000000
χ13244-4-44-2-24-22-22-42-42-2-21-22-221-1-1220000−2i3−2i32i32i3000011-1-1000i3i3−i3−i3000000000000000000000000000-4-444-422-42-22-24-24-222-12-22-2-111-2-200002i32i3−2i3−2i30000-1-111000−i3−i3i3i3000000000000000000000000000
χ13344-4-44-2-24-22-22-42-42-2-21-22-221-1-12200002i32i3−2i3−2i3000011-1-1000−i3−i3i3i3000000000000000000000000000-4-444-422-42-22-24-24-222-12-22-2-111-2-20000−2i3−2i32i32i30000-1-111000i3i3−i3−i3000000000000000000000000000
χ13444-4-4-244-24-44-42-42-4-2-24-22-224-4-422000000000000-2-2220000000000000000000000000000000000-4-4442-4-42-44-44-24-2422-42-22-2-444-2-200000000000022-2-20000000000000000000000000000000000
χ13544-4-4-24-2-24-4-22222-4-21-2-221-1-2222-100000000000011-1-1000000000000000003i−3i−3i3i0000000000000-4-4442-422-442-2-2-2-242-122-2-112-2-2-21000000000000-1-11100000000000000000−3i3i3i−3i0000000000000
χ13644-4-4-24-2-24-4-22222-4-21-2-221-1-2222-100000000000011-1-100000000000000000−3i3i3i−3i0000000000000-4-4442-422-442-2-2-2-242-122-2-112-2-2-21000000000000-1-111000000000000000003i−3i−3i3i0000000000000
χ13744-4-4-2-24-2-224-42-4221-2-21-1-22-222-12000000002323−23−2311-1-10000000000000−3−33300000000000000000-4-44422-422-2-44-24-2-2-122-112-22-2-21-200000000−23−232323-1-111000000000000033−3−300000000000000000
χ13844-4-4-2-24-2-224-42-4221-2-21-1-22-222-1200000000−23−23232311-1-1000000000000033−3−300000000000000000-4-44422-422-2-44-24-2-2-122-112-22-2-21-2000000002323−23−23-1-1110000000000000−3−33300000000000000000
χ1394-44-44-2-2-42-222-4-242-2-212-222-11-12-24-400-22-2200001-11-10-221-11-1000000000000000000000000000-44-44-4224-22-2-242-4-222-1-22-2-21-11-22-44002-22-20000-11-1102-2-11-11000000000000000000000000000
χ1404-44-44-2-2-42-222-4-242-2-212-222-11-12-2-44002-22-200001-11-102-2-11-11000000000000000000000000000-44-44-4224-22-2-242-4-222-1-22-2-21-11-224-400-22-220000-11-110-221-11-1000000000000000000000000000
χ1414-44-4-2442-44-4-424-2-4-2-242-222-44-42-2000000000000-22-220000000000000000000000000000000000-44-442-4-4-24-444-2-42422-4-22-2-24-44-220000000000002-22-20000000000000000000000000000000000
χ1424-44-4-24-22-44222-2-2-4-21-22-2-1-12-22210000000000001-11-1000000000−2i32i3000000i3i3−i3−i30000000000000-44-442-42-24-4-2-2-22242-12-2211-22-2-2-1000000000000-11-110000000002i3−2i3000000−i3−i3i3i30000000000000
χ1434-44-4-24-22-44222-2-2-4-21-22-2-1-12-22210000000000001-11-10000000002i3−2i3000000−i3−i3i3i30000000000000-44-442-42-24-4-2-2-22242-12-2211-22-2-2-1000000000000-11-11000000000−2i32i3000000i3i3−i3−i30000000000000
χ1444-44-4-2-2422-2-4-424-221-2-2-11222-22-1-20000000023−2323−231-11-10000000000000−33−3300000000000000000-44-4422-4-2-2244-2-42-2-1221-1-2-2-22-21200000000−2323−2323-11-1100000000000003−33−300000000000000000
χ1454-44-4-2-2422-2-4-424-221-2-2-11222-22-1-200000000−2323−23231-11-100000000000003−33−300000000000000000-44-4422-4-2-2244-2-42-2-1221-1-2-2-22-2120000000023−2323−23-11-110000000000000−33−3300000000000000000
χ1464-4-4444-2-4-4-42-242-444-2-2-4-42-222-242000000000000-222-20000000000000000000000000000000000-444-4-4-42444-22-4-24-4-42244-22-2-22-4-20000000000002-2-220000000000000000000000000000000000
χ1474-4-444-2-2-4222-242-4-2-2-21222-2-1-11-220000−2i32i32i3−2i300001-1-11000i3−i3−i3i3000000000000000000000000000-444-4-4224-2-2-22-4-24222-1-2-2-2211-12-200002i3−2i3−2i32i30000-111-1000−i3i3i3−i3000000000000000000000000000
χ1484-4-444-2-2-4222-242-4-2-2-21222-2-1-11-2200002i3−2i3−2i32i300001-1-11000−i3i3i3−i3000000000000000000000000000-444-4-4224-2-2-22-4-24222-1-2-2-2211-12-20000−2i32i32i3−2i30000-111-1000i3−i3−i3i3000000000000000000000000000
χ1494-4-44-24-22-4-42-2-2224-21-222-1122-2-2-10000000000001-1-110000000000023−230000−33−330000000000000-444-42-42-244-222-2-2-42-12-2-21-1-2-2221000000000000-111-100000000000−232300003−33−30000000000000
χ1504-4-44-24-22-4-42-2-2224-21-222-1122-2-2-10000000000001-1-1100000000000−232300003−33−30000000000000-444-42-42-244-222-2-2-42-12-2-21-1-2-2221000000000000-111-10000000000023−230000−33−330000000000000
χ1514-4-44-2-24222-44-2-42-21-2-2-1-12-222-212004-40000-222-21-1-110000000-2200001-1-1100000000000000000-444-422-4-2-2-24-424-22-12211-22-2-22-1-200-4400002-2-22-111-100000002-20000-111-100000000000000000
χ1524-4-44-2-24222-44-2-42-21-2-2-1-12-222-21200-4400002-2-221-1-1100000002-20000-111-100000000000000000-444-422-4-2-2-24-424-22-12211-22-2-22-1-2004-40000-222-2-111-10000000-2200001-1-1100000000000000000
χ1538888-4-4-4-4-4-4-4-4-4-4-4-4222222222222000000000000-1-1-1-10000000000000000000000000000000000-8-8-8-8444444444444-2-2-2-2-2-2-2-2-2-2-2-200000000000011110000000000000000000000000000000000
χ15488-8-8-4-4-4-4-44-4444442222-22-22-2-2-2-2000000000000-1-1110000000000000000000000000000000000-8-88844444-44-4-4-4-4-4-2-2-2-22-22-2222200000000000011-1-10000000000000000000000000000000000
χ1558-88-8-4-4-444-4444-4-44222-22-2-2-22-2-22000000000000-11-110000000000000000000000000000000000-88-88444-4-44-4-4-444-4-2-2-22-2222-222-20000000000001-11-10000000000000000000000000000000000
χ1568-8-88-4-4-44444-4-444-4222-2-2-22-2-222-2000000000000-111-10000000000000000000000000000000000-888-8444-4-4-4-444-4-44-2-2-2222-222-2-220000000000001-1-110000000000000000000000000000000000

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