Finite Group Databasebeta

← Group #11791432

Character table — Group #11791432

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order1222222233444466666666666666344446666666121212121212121212121212121212124444121212121212121212121212121212121212121212121212444444888812121212121212121212121224242424242424244412121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91-1-1-111-111111-1-111-1-1-1-1-11-1-111-111ii−i−i11-1-1-11-111-1-1iiii−i−i−i−i11-1-111-1-11111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i1-1ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1-111-1-1ii−i−i1-1
χ101-1-1-111-111111-1-111-1-1-1-1-11-1-111-111ii−i−i11-1-1-11-111-1-1iiii−i−i−i−i11-1-111-1-11111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i1-1ii−i−i−i−iii11-1-1iiii−i−i−i−i−i−i−i−iiiii-11-1-111−i−iii-11
χ111-1-1-111-111111-1-111-1-1-1-1-11-1-111-111ii−i−i11-1-1-11-111-1-1iiii−i−i−i−i11-1-1-1-111-1-1-1-11111ii−i−i11-1-1iiii−i−i−i−i-11−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i1-111-1-1−i−iii-11
χ121-1-1-111-111111-1-111-1-1-1-1-11-1-111-111ii−i−i11-1-1-11-111-1-1iiii−i−i−i−i11-1-1-1-111-1-1-1-11111ii−i−i11-1-1iiii−i−i−i−i-11−i−iii−i−iii-1-111−i−i−i−iiiii−i−i−i−iiiii-11-1-111ii−i−i1-1
χ131-1-1-111-111111-1-111-1-1-1-1-11-1-111-111−i−iii11-1-1-11-111-1-1−i−i−i−iiiii11-1-111-1-11111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii1-1−i−iiiii−i−i11-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-1-111ii−i−i-11
χ141-1-1-111-111111-1-111-1-1-1-1-11-1-111-111−i−iii11-1-1-11-111-1-1−i−i−i−iiiii11-1-111-1-11111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii1-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii1-111-1-1−i−iii1-1
χ151-1-1-111-111111-1-111-1-1-1-1-11-1-111-111−i−iii11-1-1-11-111-1-1−i−i−i−iiiii11-1-1-1-111-1-1-1-11111−i−iii11-1-1−i−i−i−iiiii-11ii−i−iii−i−i-1-111iiii−i−i−i−iiiii−i−i−i−i-11-1-111−i−iii1-1
χ161-1-1-111-111111-1-111-1-1-1-1-11-1-111-111−i−iii11-1-1-11-111-1-1−i−i−i−iiiii11-1-1-1-111-1-1-1-11111−i−iii11-1-1−i−i−i−iiiii-11ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii1-111-1-1ii−i−i-11
χ172222222222-2-2-2-222222222222222200002222222-2-2-2-200000000-2-2-2-22222222222220000-2-2-2-200000000-2-200000000-2-2-2-20000000000000000000000000000
χ182222222222-2-2-2-222222222222222200002222222-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-200000000220000000022220000000000000000000000000000
χ19222222222-1222222222-1-1-12-1-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ20222222222-1222222222-1-1-12-1-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2000011111111111100000000000000000000
χ21222222222-1222222222-1-1-12-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111111122222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-2-20000-1-1-1-11111111100000000000000000000
χ22222222222-1222222222-1-1-12-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-211111111-2-2-2-2-1-1-1-111111111-2-2222200001111-1-1-1-1-1-1-1-100000000000000000000
χ23222222222-1-2-2-2-222222-1-1-12-1-1-1-12-10000-1-1-1-1-1-1-11111−i3−i3i3i3−i3−i3i3i3-2-2-2-22222-1-1-1-1-1-1-1-100001111−i3−i3i3i3−i3−i3i3i3-2-2000000001111−i3−i3i3i3−i3−i3i3i300000000000000000000
χ24222222222-1-2-2-2-222222-1-1-12-1-1-1-12-10000-1-1-1-1-1-1-11111−i3−i3i3i3−i3−i3i3i3-2-2-2-2-2-2-2-21111111100001111−i3−i3i3i3−i3−i3i3i32200000000-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000
χ25222222222-1-2-2-2-222222-1-1-12-1-1-1-12-10000-1-1-1-1-1-1-11111i3i3−i3−i3i3i3−i3−i3-2-2-2-22222-1-1-1-1-1-1-1-100001111i3i3−i3−i3i3i3−i3−i3-2-2000000001111i3i3−i3−i3i3i3−i3−i300000000000000000000
χ26222222222-1-2-2-2-222222-1-1-12-1-1-1-12-10000-1-1-1-1-1-1-11111i3i3−i3−i3i3i3−i3−i3-2-2-2-2-2-2-2-21111111100001111i3i3−i3−i3i3i3−i3−i32200000000-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2722222222-122222-1-1-1-1-1222-12222-1-12222-1-1-1-1-1-1-1222222222222-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002222000000000000-1-1-1-1-1-1-1-122-1-1-1-1000000
χ2822222222-122222-1-1-1-1-1222-12222-1-12222-1-1-1-1-1-1-1222222222222-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000011111111-2-21111000000
χ2922222222-122222-1-1-1-1-1222-12222-1-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-10000000000001111-1-1-1-1111111110000002222000000000000-1-1-1-1-1-1-1-1-2-21111000000
χ3022222222-122222-1-1-1-1-1222-12222-1-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-10000000000001111-1-1-1-111111111000000-2-2-2-20000000000001111111122-1-1-1-1000000
χ31222-22-2-2-22200002-222-222-2-2-22-2-2-2200002-222-2-2-200000000000000002-22-222-2-222-2-200000000000000000000002−22−200000000000022−2−222−2−20000002−22−200
χ32222-22-2-2-22200002-222-222-2-2-22-2-2-2200002-222-2-2-200000000000000002-22-222-2-222-2-20000000000000000000000−22−22000000000000−2−222−2−222000000−22−2200
χ33222-22-2-2-22200002-222-222-2-2-22-2-2-2200002-222-2-2-20000000000000000-22-22-2-222-2-22200000000000000000000002−22−200000000000022−2−222−2−2000000−22−2200
χ34222-22-2-2-22200002-222-222-2-2-22-2-2-2200002-222-2-2-20000000000000000-22-22-2-222-2-2220000000000000000000000−22−22000000000000−2−222−2−2220000002−22−200
χ3522-22-2-2-22222-22-2-2-22-2-22-2222-2-2-2220000-2-22-2-2222-22-2000000002-22-200000000000000002-22-200000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ3622-22-2-2-22222-22-2-2-22-2-22-2222-2-2-2220000-2-22-2-2222-22-2000000002-22-200000000000000002-22-20000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ3722-22-2-2-2222-22-22-2-22-2-22-2222-2-2-2222-22-2-2-22-2-222-22-222-22-22-22-2-22-220000000000002-22-2-22-222-22-22-22-2000000000000000000000000000000000000000000
χ3822-22-2-2-2222-22-22-2-22-2-22-2222-2-2-222-22-22-2-22-2-222-22-22-22-22-22-22-22-22000000000000-22-22-22-22-22-22-22-22000000000000000000000000000000000000000000
χ3922-22-2-2-222-12-22-2-2-22-2-2-11-12-11112-1000011-111-1-1-11-11−i3i3i3−i3−i3i3i3−i32-22-200003−33−33−33−30000-11-11−i3i3i3−i3−i3i3i3−i3002i−2i2i−2i00003−33−3−ii−ii−ii−ii00000000000000000000
χ4022-22-2-2-222-12-22-2-2-22-2-2-11-12-11112-1000011-111-1-1-11-11−i3i3i3−i3−i3i3i3−i32-22-20000−33−33−33−330000-11-11−i3i3i3−i3−i3i3i3−i300−2i2i−2i2i0000−33−33i−ii−ii−ii−i00000000000000000000
χ4122-22-2-2-222-12-22-2-2-22-2-2-11-12-11112-1000011-111-1-1-11-11i3−i3−i3i3i3−i3−i3i32-22-200003−33−33−33−30000-11-11i3−i3−i3i3i3−i3−i3i300−2i2i−2i2i00003−33−3i−ii−ii−ii−i00000000000000000000
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χ4322-22-2-2-222-1-22-22-2-22-2-2-11-12-11112-12-22-211-111-1-11-11-1-11-11-11-11-22-2200003−33−33−33−32-22-21-11-1-11-11-11-110000000000−33−333−3−333−3−3300000000000000000000
χ4422-22-2-2-222-1-22-22-2-22-2-2-11-12-11112-12-22-211-111-1-11-11-1-11-11-11-11-22-220000−33−33−33−332-22-21-11-1-11-11-11-1100000000003−33−3−333−3−333−300000000000000000000
χ4522-22-2-2-222-1-22-22-2-22-2-2-11-12-11112-1-22-2211-111-1-11-11-11-11-11-11-1-22-2200003−33−33−33−3-22-221-11-11-11-11-11-10000000000−33−33−333−3−333−300000000000000000000
χ4622-22-2-2-222-1-22-22-2-22-2-2-11-12-11112-1-22-2211-111-1-11-11-11-11-11-11-1-22-220000−33−33−33−33-22-221-11-11-11-11-11-100000000003−33−33−3−333−3−3300000000000000000000
χ4722-22-2-2-22-12-22-2211-1112-22-12-2-2-2-1-12-22-211-111-1-1-22-222-22-22-22-21-11-1000000000000-11-111-11-1-11-11-11-110000000000000000000000−i3i3−i3i3−i3i3−i3i300−i3i3−i3i3000000
χ4822-22-2-2-22-12-22-2211-1112-22-12-2-2-2-1-12-22-211-111-1-1-22-222-22-22-22-21-11-1000000000000-11-111-11-1-11-11-11-110000000000000000000000i3−i3i3−i3i3−i3i3−i300i3−i3i3−i3000000
χ4922-22-2-2-22-12-22-2211-1112-22-12-2-2-2-1-1-22-2211-111-1-1-22-22-22-22-22-221-11-10000000000001-11-11-11-11-11-11-11-10000000000000000000000−i3i3−i3i3−i3i3−i3i300i3−i3i3−i3000000
χ5022-22-2-2-22-12-22-2211-1112-22-12-2-2-2-1-1-22-2211-111-1-1-22-22-22-22-22-221-11-10000000000001-11-11-11-11-11-11-11-10000000000000000000000i3−i3i3−i3i3−i3i3−i300−i3i3−i3i3000000
χ512-22-2-2-222222-2-22-2-2-222-222-2-2-2-22220000-2-2-2222-22-2-22000000002-2-2200000000000000002-2-2200000000002-2-22000000002-22-2-22-2200000000000000000000
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χ532-22-2-2-22222-222-2-2-2-222-222-2-2-2-22222i−2i−2i2i-2-2-2222-2-222-22i−2i2i−2i−2i2i−2i2i-222-20000000000002i−2i−2i2i-222-22i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000
χ542-22-2-2-22222-222-2-2-2-222-222-2-2-2-2222−2i2i2i−2i-2-2-2222-2-222-2−2i2i−2i2i2i−2i2i−2i-222-2000000000000−2i2i2i−2i-222-2−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000
χ552-22-2-2-2222-12-2-22-2-2-2221-1-1-2111-12-10000111-1-1-11-111-13−3−33−333−32-2-2200003−33−3−33−330000-111-13−3−33−333−300-222-200003−3−331-11-1-11-1100000000000000000000
χ562-22-2-2-2222-12-2-22-2-2-2221-1-1-2111-12-10000111-1-1-11-111-13−3−33−333−32-2-220000−33−333−33−30000-111-13−3−33−333−3002-2-220000−333−3-11-111-11-100000000000000000000
χ572-22-2-2-2222-12-2-22-2-2-2221-1-1-2111-12-10000111-1-1-11-111-1−333−33−3−332-2-2200003−33−3−33−330000-111-1−333−33−3−33002-2-2200003−3−33-11-111-11-100000000000000000000
χ582-22-2-2-2222-12-2-22-2-2-2221-1-1-2111-12-10000111-1-1-11-111-1−333−33−3−332-2-220000−33−333−33−30000-111-1−333−33−3−3300-222-20000−333−31-11-1-11-1100000000000000000000
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χ612-22-2-2-2222-1-222-2-2-2-2221-1-1-2111-12-1−2i2i2i−2i111-1-1-111-1-11i−ii−i−ii−ii-222-200003−33−3−33−33−2i2i2i−2i1-1-11i−ii−i−ii−ii0000000000−333−3−i3i3i3−i3i3−i3−i3i300000000000000000000
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χ632-22-2-2-222-12-222-2111-1-1-2221-2-2-22-1-12i−2i−2i2i111-1-1-11-222-22i−2i2i−2i−2i2i−2i2i1-1-11000000000000−iii−i1-1-11−ii−iii−ii−i00000000000000000000003−33−3−33−3300−i3i3i3−i3000000
χ642-22-2-2-222-12-222-2111-1-1-2221-2-2-22-1-12i−2i−2i2i111-1-1-11-222-22i−2i2i−2i−2i2i−2i2i1-1-11000000000000−iii−i1-1-11−ii−iii−ii−i0000000000000000000000−33−333−33−300i3−i3−i3i3000000
χ652-22-2-2-222-12-222-2111-1-1-2221-2-2-22-1-1−2i2i2i−2i111-1-1-11-222-2−2i2i−2i2i2i−2i2i−2i1-1-11000000000000i−i−ii1-1-11i−ii−i−ii−ii00000000000000000000003−33−3−33−3300i3−i3−i3i3000000
χ662-22-2-2-222-12-222-2111-1-1-2221-2-2-22-1-1−2i2i2i−2i111-1-1-11-222-2−2i2i−2i2i2i−2i2i−2i1-1-11000000000000i−i−ii1-1-11i−ii−i−ii−ii0000000000000000000000−33−333−33−300−i3i3i3−i3000000
χ672-2-222-22-22200002-2-2-22-2-2-2222-22-2200002-2-2-22-2200000000000000002-2-2222-2-2-2-2220000000000000000000000−i2i2i2−i2000000000000−i2−i2i2i2i2i2−i2−i2000000−i2i2i2−i200
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χ722-2-2-222-2222-2-22222-2-2-2-2-22-2-222-222000022-2-2-22-2-2-22200000000-2-222-2-222-2-2-2-222220000-2-222000000002-20000000022-2-20000000000000000000000000000
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χ812-2-2-222-22-1222-2-2-1-1111-2-221-222-2-1-12i2i−2i−2i-1-1111-1122-2-22i2i2i2i−2i−2i−2i−2i-1-111000000000000−i−iii-1-111−i−i−i−iiiii0000002i2i−2i−2i000000000000−i−i−i−iiiii2-2-1-111000000
χ822-2-2-222-22-1222-2-2-1-1111-2-221-222-2-1-12i2i−2i−2i-1-1111-1122-2-22i2i2i2i−2i−2i−2i−2i-1-111000000000000−i−iii-1-111−i−i−i−iiiii000000−2i−2i2i2i000000000000iiii−i−i−i−i-2211-1-1000000
χ832-2-2-222-22-1222-2-2-1-1111-2-221-222-2-1-1−2i−2i2i2i-1-1111-1122-2-2−2i−2i−2i−2i2i2i2i2i-1-111000000000000ii−i−i-1-111iiii−i−i−i−i0000002i2i−2i−2i000000000000−i−i−i−iiiii-2211-1-1000000
χ842-2-2-222-22-1222-2-2-1-1111-2-221-222-2-1-1−2i−2i2i2i-1-1111-1122-2-2−2i−2i−2i−2i2i2i2i2i-1-111000000000000ii−i−i-1-111iiii−i−i−i−i000000−2i−2i2i2i000000000000iiii−i−i−i−i2-2-1-111000000
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χ8744444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-41111111-2-2-2-222222222-2-2-2-200000000000022221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ8844444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21000011111112222−2i3−2i32i32i3−2i3−2i32i32i322220000000000000000-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
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χ9844-44-4-4-44-2-2-44-4422-222-22-2-2-2222-21-44-44-1-11-1-1112-22-22-22-22-22-22-22-20000000000002-22-2-11-11-11-11-11-11000000000000000000000000000000000000000000
χ9944-4-4-444-4440000-444-444-4-4-4-4-444-440000-444-44-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1114-44-4-4-444-2-24-4-44222-2-22-2-22222-2-210000-1-1-1111-1-222-2−232323−2323−23−2323-222-200000000000000001-1-113−3−33−333−3000000000000000000000000000000000000000000
χ1124-44-4-4-444-2-2-444-4222-2-22-2-22222-2-214i−4i−4i4i-1-1-1111-12-2-22−2i2i−2i2i2i−2i2i−2i2-2-22000000000000−2i2i2i−2i-111-1i−ii−i−ii−ii000000000000000000000000000000000000000000
χ1134-44-4-4-444-2-2-444-4222-2-22-2-22222-2-21−4i4i4i−4i-1-1-1111-12-2-222i−2i2i−2i−2i2i−2i2i2-2-220000000000002i−2i−2i2i-111-1−ii−iii−ii−i000000000000000000000000000000000000000000
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χ1194-4-4-444-44-2-244-4-4-2-222222-222-2-22-214i4i−4i−4i11-1-1-11-1-2-222−2i−2i−2i−2i2i2i2i2i-2-222000000000000−2i−2i2i2i11-1-1iiii−i−i−i−i000000000000000000000000000000000000000000
χ1204-4-4-444-44-2-244-4-4-2-222222-222-2-22-21−4i−4i4i4i11-1-1-11-1-2-2222i2i2i2i−2i−2i−2i−2i-2-2220000000000002i2i−2i−2i11-1-1−i−i−i−iiiii000000000000000000000000000000000000000000
χ1214-4-4-444-44-2-2-4-444-2-222222-222-2-22-21000011-1-1-11-122-2-22323−23−23−23−23232322-2-20000000000000000-1-111−3−33333−3−3000000000000000000000000000000000000000000
χ1224-4-4-444-44-2-2-4-444-2-222222-222-2-22-21000011-1-1-11-122-2-2−23−2323232323−23−2322-2-20000000000000000-1-11133−3−3−3−333000000000000000000000000000000000000000000
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χ1268-8-888-88-8-4-40000-4444-4444-4-4-44-44200002-2-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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