Finite Group Databasebeta

← Group #11802427

Character table — Group #11802427

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order12222222334444666666666666662234466666661212121212121212444444444444444466666666121212121212121212121212444444444444444412121212121212121212121212121212444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-11-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-11-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111
χ71111111111111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111
χ81111111111111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111111111-1-111-1-111-1-1
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1
χ131111111111-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-111
χ141111111111-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ151111111111-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ161111111111-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ171111-1-1-1-11111-1-11-1-1-1-1-111-1-1111-11-111-11-1-1-1-11111-1-111-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-11-11-111-1-111-1-1iiii−i−i−i−i1-11-1i−ii−iii−i−i11-1-111-1-1ii−i−iii−i−ii−i1-11-1i−ii−ii−i
χ181111-1-1-1-11111-1-11-1-1-1-1-111-1-1111-11-111-11-1-1-1-11111-1-111-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-11-11-111-1-111-1-1−i−i−i−iiiii1-11-1−ii−ii−i−iii11-1-111-1-1−i−iii−i−iii−ii1-11-1−ii−ii−ii
χ191111-1-1-1-11111-1-11-1-1-1-1-111-1-1111-11-111-11-1-1-1-11111-1-111-1-1-1-111-1-111ii−i−iii−i−i11-1-111-1-11-11-111-1-111-1-1−i−i−i−iiiii-11-11i−ii−iii−i−i-1-111-1-111ii−i−i−i−iiii−i-11-11i−i−ii−ii
χ201111-1-1-1-11111-1-11-1-1-1-1-111-1-1111-11-111-11-1-1-1-11111-1-111-1-1-1-111-1-111−i−iii−i−iii11-1-111-1-11-11-111-1-111-1-1iiii−i−i−i−i-11-11−ii−ii−i−iii-1-111-1-111−i−iiiii−i−i−ii-11-11−iii−ii−i
χ211111-1-1-1-11111-1-11-1-1-1-1-111-1-1111-1-111-111-1-1-1-11111-1-111-1-111-1-111-1-1ii−i−iii−i−i-1-111-1-111-11-1111-1-1-1-111iiii−i−i−i−i-11-11−ii−iiii−i−i11-1-111-1-1ii−i−iii−i−i−ii-11-11−ii−ii−ii
χ221111-1-1-1-11111-1-11-1-1-1-1-111-1-1111-1-111-111-1-1-1-11111-1-111-1-111-1-111-1-1−i−iii−i−iii-1-111-1-111-11-1111-1-1-1-111−i−i−i−iiiii-11-11i−ii−i−i−iii11-1-111-1-1−i−iii−i−iiii−i-11-11i−ii−ii−i
χ231111-1-1-1-11111-1-11-1-1-1-1-111-1-1111-1-111-111-1-1-1-11111-1-111-1-1-1-111-1-111ii−i−iii−i−i-1-111-1-111-11-1111-1-1-1-111−i−i−i−iiiii1-11-1−ii−iiii−i−i-1-111-1-111ii−i−i−i−iii−ii1-11-1−iii−ii−i
χ241111-1-1-1-11111-1-11-1-1-1-1-111-1-1111-1-111-111-1-1-1-11111-1-111-1-1-1-111-1-111−i−iii−i−iii-1-111-1-111-11-1111-1-1-1-111iiii−i−i−i−i1-11-1i−ii−i−i−iii-1-111-1-111−i−iiiii−i−ii−i1-11-1i−i−ii−ii
χ251111-1-1-1-111-1-1111-1-1-1-1-111-1-1111-11-11-111-1-1-1-111-1-111-1-11111-1-1-1-111ii−i−i−i−iii11-1-111-1-1-11-11-1-111-1-111−i−i−i−iiiii-111-1−iii−i−i−iii11-1-1-1-111ii−i−iii−i−ii−i-111-1−iii−i−ii
χ261111-1-1-1-111-1-1111-1-1-1-1-111-1-1111-11-11-111-1-1-1-111-1-111-1-11111-1-1-1-111−i−iiiii−i−i11-1-111-1-1-11-11-1-111-1-111iiii−i−i−i−i-111-1i−i−iiii−i−i11-1-1-1-111−i−iii−i−iii−ii-111-1i−i−iii−i
χ271111-1-1-1-111-1-1111-1-1-1-1-111-1-1111-11-11-111-1-1-1-111-1-111-1-111-1-11111-1-1ii−i−i−i−iii11-1-111-1-1-11-11-1-111-1-111iiii−i−i−i−i1-1-11−iii−i−i−iii-1-11111-1-1ii−i−i−i−iiii−i1-1-11−ii−iii−i
χ281111-1-1-1-111-1-1111-1-1-1-1-111-1-1111-11-11-111-1-1-1-111-1-111-1-111-1-11111-1-1−i−iiiii−i−i11-1-111-1-1-11-11-1-111-1-111−i−i−i−iiiii1-1-11i−i−iiii−i−i-1-11111-1-1−i−iiiii−i−i−ii1-1-11i−ii−i−ii
χ291111-1-1-1-111-1-1111-1-1-1-1-111-1-1111-1-1111-11-1-1-1-111-1-111-1-11111-1-1-1-111ii−i−i−i−iii-1-111-1-1111-11-1-1-11111-1-1−i−i−i−iiiii1-1-11i−i−ii−i−iii11-1-1-1-111ii−i−iii−i−i−ii1-1-11i−i−iii−i
χ301111-1-1-1-111-1-1111-1-1-1-1-111-1-1111-1-1111-11-1-1-1-111-1-111-1-11111-1-1-1-111−i−iiiii−i−i-1-111-1-1111-11-1-1-11111-1-1iiii−i−i−i−i1-1-11−iii−iii−i−i11-1-1-1-111−i−iii−i−iiii−i1-1-11−iii−i−ii
χ311111-1-1-1-111-1-1111-1-1-1-1-111-1-1111-1-1111-11-1-1-1-111-1-111-1-111-1-11111-1-1ii−i−i−i−iii-1-111-1-1111-11-1-1-11111-1-1iiii−i−i−i−i-111-1i−i−ii−i−iii-1-11111-1-1ii−i−i−i−iii−ii-111-1i−ii−i−ii
χ321111-1-1-1-111-1-1111-1-1-1-1-111-1-1111-1-1111-11-1-1-1-111-1-111-1-111-1-11111-1-1−i−iiiii−i−i-1-111-1-1111-11-1-1-11111-1-1−i−i−i−iiiii-111-1−iii−iii−i−i-1-11111-1-1−i−iiiii−i−ii−i-111-1−ii−iii−i
χ33222222222-1222222-1-1-1-12222-1-1-1222-122-1-1-1-1-1-1-12222-1-1-1-122222222000000002-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-1-1-1-1-10000000000-1-1-1-1000000
χ34222222222-1222222-1-1-1-12222-1-1-1222-122-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2000000002-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000001111111100000000001111000000
χ35222222222-1222222-1-1-1-12222-1-1-12-2-2-1-2-2-1-1-1-1-1-1-12222-1-1-1-12222222200000000-21-211111-2-211-1-1-1-1111100000000-2-2-2-200000000-1-1-1-1-1-1-1-100000000001111000000
χ36222222222-1222222-1-1-1-12222-1-1-12-2-2-1-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-200000000-21-211111-2-211-1-1-1-1111100000000222200000000111111110000000000-1-1-1-1000000
χ37222222222-1-2-2-2-222-1-1-1-12222-1-1-1222-1-2-2-1-1-1-1-1-1-1-2-2-2-211112222-2-2-2-2000000002-12-1-1-1-1-1-2-2111111111100000000-2-22200000000-1-1-1-11111000000000011-1-1000000
χ38222222222-1-2-2-2-222-1-1-1-12222-1-1-1222-1-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-22222000000002-12-1-1-1-1-1-2-211111111110000000022-2-2000000001111-1-1-1-10000000000-1-111000000
χ39222222222-1-2-2-2-222-1-1-1-12222-1-1-12-2-2-122-1-1-1-1-1-1-1-2-2-2-211112222-2-2-2-200000000-21-21111122-1-11111-1-1-1-10000000022-2-200000000-1-1-1-111110000000000-1-111000000
χ40222222222-1-2-2-2-222-1-1-1-12222-1-1-12-2-2-122-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2222200000000-21-21111122-1-11111-1-1-1-100000000-2-222000000001111-1-1-1-1000000000011-1-1000000
χ4122222222-122222-1-12222-1-1-1-1222-122-122-1-1-1-1-1-1-1-1-1-1-122220000000022222222-12-12-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000000002222-1-1-1-100000000-1-1-1-10000-1-10000-1-10000
χ4222222222-122222-1-12222-1-1-1-1222-122-122-1-1-1-1-1-1-1-1-1-1-1222200000000-2-2-2-2-2-2-2-2-12-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000-2-2-2-211110000000011110000110000110000
χ4322222222-122222-1-12222-1-1-1-1222-1-2-2-1-2-2-1-1-1-1-1-1-1-1-1-1-1222200000000222222221-21-2111111-2-2-1-1-1-11111000000000000-2-2-2-2-1-1-1-100000000-1-1-1-10000110000110000
χ4422222222-122222-1-12222-1-1-1-1222-1-2-2-1-2-2-1-1-1-1-1-1-1-1-1-1-1222200000000-2-2-2-2-2-2-2-21-21-2111111-2-2-1-1-1-11111000000000000222211110000000011110000-1-10000-1-10000
χ4522222222-12-2-2-2-2-1-12222-1-1-1-1222-122-1-2-2-1-1-1-1-1-1-11111-2-2-2-2000000002222-2-2-2-2-12-12-1-1-1-111-2-211111111000000000000-2-222111100000000-1-1-1-10000-1-10000110000
χ4622222222-12-2-2-2-2-1-12222-1-1-1-1222-122-1-2-2-1-1-1-1-1-1-11111-2-2-2-200000000-2-2-2-22222-12-12-1-1-1-111-2-21111111100000000000022-2-2-1-1-1-10000000011110000110000-1-10000
χ4722222222-12-2-2-2-2-1-12222-1-1-1-1222-1-2-2-122-1-1-1-1-1-1-11111-2-2-2-2000000002222-2-2-2-21-21-21111-1-1221111-1-1-1-100000000000022-2-2111100000000-1-1-1-10000110000-1-10000
χ4822222222-12-2-2-2-2-1-12222-1-1-1-1222-1-2-2-122-1-1-1-1-1-1-11111-2-2-2-200000000-2-2-2-222221-21-21111-1-1221111-1-1-1-1000000000000-2-222-1-1-1-10000000011110000-1-10000110000
χ492222-2-2-2-22-122-2-22-2111122-2-2-1-1-1-22-2-12-2-11111-1-122-2-2-1-11122-2-222-2-2000000002-1-21-1-1112-2-11-1-111-1-111000000002-22-200000000-1-111-1-1110000000000-11-11000000
χ502222-2-2-2-22-122-2-22-2111122-2-2-1-1-1-22-2-12-2-11111-1-122-2-2-1-111-2-222-2-222000000002-1-21-1-1112-2-11-1-111-1-11100000000-22-220000000011-1-111-1-100000000001-11-1000000
χ512222-2-2-2-22-122-2-22-2111122-2-2-1-1-1-2-22-1-22-11111-1-122-2-2-1-11122-2-222-2-200000000-212-111-1-1-221-1-1-11111-1-100000000-22-2200000000-1-111-1-11100000000001-11-1000000
χ522222-2-2-2-22-122-2-22-2111122-2-2-1-1-1-2-22-1-22-11111-1-122-2-2-1-111-2-222-2-22200000000-212-111-1-1-221-1-1-11111-1-1000000002-22-20000000011-1-111-1-10000000000-11-11000000
χ532222-2-2-2-22-1-2-2222-2111122-2-2-1-1-1-22-2-1-22-11111-1-1-2-22211-1-122-2-2-2-222000000002-1-21-1-111-221-111-1-111-1-100000000-222-200000000-1-11111-1-100000000001-1-11000000
χ542222-2-2-2-22-1-2-2222-2111122-2-2-1-1-1-22-2-1-22-11111-1-1-2-22211-1-1-2-22222-2-2000000002-1-21-1-111-221-111-1-111-1-1000000002-2-220000000011-1-1-1-1110000000000-111-1000000
χ552222-2-2-2-22-1-2-2222-2111122-2-2-1-1-1-2-22-12-2-11111-1-1-2-22211-1-122-2-2-2-22200000000-212-111-1-12-2-1111-1-1-1-111000000002-2-2200000000-1-11111-1-10000000000-111-1000000
χ562222-2-2-2-22-1-2-2222-2111122-2-2-1-1-1-2-22-12-2-11111-1-1-2-22211-1-1-2-22222-2-200000000-212-111-1-12-2-1111-1-1-1-11100000000-222-20000000011-1-1-1-11100000000001-1-11000000
χ572222-2-2-2-2-1222-2-2-11-2-2-2-2-1-11122212-2-12-2-11111-1-1-1-11122-2-2000000002i2i−2i−2i2i2i−2i−2i-121-2-1-111-112-2-1-111-1-1110000000000002i−2i2i−2i−i−iii00000000−i−iii0000−ii0000−ii0000
χ582222-2-2-2-2-1222-2-2-11-2-2-2-2-1-11122212-2-12-2-11111-1-1-1-11122-2-200000000−2i−2i2i2i−2i−2i2i2i-121-2-1-111-112-2-1-111-1-111000000000000−2i2i−2i2iii−i−i00000000ii−i−i0000i−i0000i−i0000
χ592222-2-2-2-2-1222-2-2-11-2-2-2-2-1-1112221-22-1-22-11111-1-1-1-11122-2-2000000002i2i−2i−2i2i2i−2i−2i1-2-1211-1-11-1-22-1-11111-1-1000000000000−2i2i−2i2i−i−iii00000000−i−iii0000i−i0000i−i0000
χ602222-2-2-2-2-1222-2-2-11-2-2-2-2-1-1112221-22-1-22-11111-1-1-1-11122-2-200000000−2i−2i2i2i−2i−2i2i2i1-2-1211-1-11-1-22-1-11111-1-10000000000002i−2i2i−2iii−i−i00000000ii−i−i0000−ii0000−ii0000
χ612222-2-2-2-2-12-2-222-11-2-2-2-2-1-11122212-2-1-22-11111-1-111-1-1-2-222000000002i2i−2i−2i−2i−2i2i2i-121-2-1-1111-1-2211-1-111-1-1000000000000−2i2i2i−2iii−i−i00000000−i−iii0000−ii0000i−i0000
χ622222-2-2-2-2-12-2-222-11-2-2-2-2-1-11122212-2-1-22-11111-1-111-1-1-2-22200000000−2i−2i2i2i2i2i−2i−2i-121-2-1-1111-1-2211-1-111-1-10000000000002i−2i−2i2i−i−iii00000000ii−i−i0000i−i0000−ii0000
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χ8944444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2441441111111-2-2-2-2-2-2-2-20000000000000000-2-2-2-21111-2-2-2-211111111000000000000000000000000000000000000000000000000
χ9044444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-41-4-41111111-2-2-2-2-2-2-2-200000000000000002222-1-1-1-122221111-1-1-1-1000000000000000000000000000000000000000000000000
χ9144444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2441-4-41111111222222220000000000000000-2-2-2-211112222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000
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χ1074-44-44-44-4-240000224-44-42-22-2-44-4-200-2002-22-222-200000000000000004-44-40000000000000000000000000000000000000000000000000000-22-220000000000000000
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χ1214-4-44-444-44-24i−4i−4i4i4-42-2-22-4-44422-2-400-200-22-2-22224i−4i−4i4i−2i2i2i−2i0000000000000000000000000000−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ1224-4-44-444-44-2−4i4i4i−4i4-42-2-22-4-44422-2-400-200-22-2-2222−4i4i4i−4i2i−2i−2i2i00000000000000000000000000002i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ1234-4-44-444-4-244i−4i−4i4i-22-444-422-2-2-4-44200-200-22-2-2222−2i2i2i−2i4i−4i−4i4i0000000000000000000000000000−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ1244-4-44-444-4-24−4i4i4i−4i-22-444-422-2-2-4-44200-200-22-2-22222i−2i−2i2i−4i4i4i−4i00000000000000000000000000002i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ1254-4-44-444-4-2-24i−4i−4i4i-222-2-2222-2-222-22001001-111-1-1-1−2i2i2i−2i−2i2i2i−2i000000000000000000003-3-330000i−i−ii3i−3i−3i3i000000000000000000000000000000000000000000000000
χ1264-4-44-444-4-2-24i−4i−4i4i-222-2-2222-2-222-22001001-111-1-1-1−2i2i2i−2i−2i2i2i−2i00000000000000000000-333-30000i−i−ii−3i3i3i−3i000000000000000000000000000000000000000000000000
χ1274-4-44-444-4-2-2−4i4i4i−4i-222-2-2222-2-222-22001001-111-1-1-12i−2i−2i2i2i−2i−2i2i000000000000000000003-3-330000−iii−i−3i3i3i−3i000000000000000000000000000000000000000000000000
χ1284-4-44-444-4-2-2−4i4i4i−4i-222-2-2222-2-222-22001001-111-1-1-12i−2i−2i2i2i−2i−2i2i00000000000000000000-333-30000−iii−i3i−3i−3i3i000000000000000000000000000000000000000000000000
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χ1318-88-88-88-8-4-4000044-44-444-44-44-44-400200-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88-8-88-88-4-400004-44-44-44-4-444-44400200-2-22-22-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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