Finite Group Databasebeta

← Group #10801689

Character table — Group #10801689

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222222222222233333333444444444444444444444444444466666666666666666666666666668888888816161616161616162424242424242424
order122222223444444444444666666688888888888888884444444412121212121212121212121224242424242424242424242424242424222244444444888888888888888844444444121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-111-1-1-1-111-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-111-1-11111-1-111-1-1
χ9111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ10111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ11111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ12111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ13111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ14111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ15111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ16111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ1711-11-1-1-111ii−i−iii−i−i1-11-11-1-11-11-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1ii−i−iii−i−i1-11111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11-11-1i−ii−i1-11-1i−ii−ii−ii−i1-11-1
χ1811-11-1-1-111ii−i−iii−i−i1-11-11-1-11-11-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1ii−i−iii−i−i1-11111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1-11-11−ii−ii-11-11−ii−ii−ii−ii-11-11
χ1911-11-1-1-111ii−i−iii−i−i1-11-11-1-11-11-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1-1ii−i−iii−i−i1-11111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-111−i−i−i−iiiii-1-1-1-111111-11-1i−ii−i1-11-1i−ii−i−ii−ii-11-11
χ2011-11-1-1-111ii−i−iii−i−i1-11-11-1-11-11-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1-1ii−i−iii−i−i1-11111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-111−i−i−i−iiiii-1-1-1-11111-11-11−ii−ii-11-11−ii−iii−ii−i1-11-1
χ2111-11-1-1-111ii−i−iii−i−i1-11-11-1-11-11-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1ii−i−iii−i−i1-1-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i11-1-1−i−i−i−iiiii-1-1-1-111111-1-11i−i−ii1-1-11i−i−iii−i−ii1-1-11
χ2211-11-1-1-111ii−i−iii−i−i1-11-11-1-11-11-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1ii−i−iii−i−i1-1-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i11-1-1−i−i−i−iiiii-1-1-1-11111-111-1−iii−i-111-1−iii−i−iii−i-111-1
χ2311-11-1-1-111ii−i−iii−i−i1-11-11-1-11-11-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1-1ii−i−iii−i−i1-1-1-1-1-11111−i−i−i−iiiii-1-111−i−iii-1-111iiii−i−i−i−i1111-1-1-1-11-1-11i−i−ii1-1-11i−i−ii−iii−i-111-1
χ2411-11-1-1-111ii−i−iii−i−i1-11-11-1-11-11-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1-1ii−i−iii−i−i1-1-1-1-1-11111−i−i−i−iiiii-1-111−i−iii-1-111iiii−i−i−i−i1111-1-1-1-1-111-1−iii−i-111-1−iii−ii−i−ii1-1-11
χ2511-11-1-1-111−i−iii−i−iii1-11-11-1-11-11-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1−i−iii−i−iii1-11111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111iiii−i−i−i−i-1-1-1-111111-11-1−ii−ii1-11-1−ii−iii−ii−i-11-11
χ2611-11-1-1-111−i−iii−i−iii1-11-11-1-11-11-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1−i−iii−i−iii1-11111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111iiii−i−i−i−i-1-1-1-11111-11-11i−ii−i-11-11i−ii−i−ii−ii1-11-1
χ2711-11-1-1-111−i−iii−i−iii1-11-11-1-11-11-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1−i−iii−i−iii1-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-11-11-1−ii−ii1-11-1−ii−ii−ii−ii1-11-1
χ2811-11-1-1-111−i−iii−i−iii1-11-11-1-11-11-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1−i−iii−i−iii1-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1-11-11i−ii−i-11-11i−ii−ii−ii−i-11-11
χ2911-11-1-1-111−i−iii−i−iii1-11-11-1-11-11-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1-1−i−iii−i−iii1-1-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i-1-111−i−i−i−iiiii1111-1-1-1-11-1-11−iii−i1-1-11−iii−ii−i−ii-111-1
χ3011-11-1-1-111−i−iii−i−iii1-11-11-1-11-11-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1-1−i−iii−i−iii1-1-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i-1-111−i−i−i−iiiii1111-1-1-1-1-111-1i−i−ii-111-1i−i−ii−iii−i1-1-11
χ3111-11-1-1-111−i−iii−i−iii1-11-11-1-11-11-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1−i−iii−i−iii1-1-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii11-1-1iiii−i−i−i−i-1-1-1-111111-1-11−iii−i1-1-11−iii−i−iii−i1-1-11
χ3211-11-1-1-111−i−iii−i−iii1-11-11-1-11-11-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1−i−iii−i−iii1-1-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii11-1-1iiii−i−i−i−i-1-1-1-11111-111-1i−i−ii-111-1i−i−iii−i−ii-111-1
χ332222222222222-2-2-2-2-2-2-2-22222222000000000000000022222222-2-22222-2-2-2-2-2-200000000000000002222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ342222222222222-2-2-2-2-2-2-2-222222220000000000000000-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-20000000000000000-2-2-2-2222222220000000000000000000000000000000000000000
χ35222222222-2-2-2-22222-2-2-2-22222222000000000000000022222222-2-2-2-2-2-22222-2-20000000000000000-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ36222222222-2-2-2-22222-2-2-2-222222220000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2000000000000000022222222-2-2-2-20000000000000000000000000000000000000000
χ3722222222-1222222222222-1-1-1-1-1-1-1222222222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000022222222-1-1-1-1-1-1-1-100000000
χ3822222222-1222222222222-1-1-1-1-1-1-1222222222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-2-2-2-2-21111111100000000
χ3922222222-1222222222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000022-2-222-2-2-1-111-1-11100000000
χ4022222222-1222222222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000000000000000-2-222-2-22211-1-111-1-100000000
χ4122222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-200000000-1-111111111-1-1-1-1-1-1-1-1-1-11111111100000000000000000000000000002222-2-2-2-2-1-1-1-1111100000000
χ4222222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-200000000-1-111111111-1-1-1-1-1-1-1-1-1-1111111110000000000000000000000000000-2-2-2-222221111-1-1-1-100000000
χ4322222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222222200000000-1-111111111-1-111111111-1-1-1-1-1-1-1-1000000000000000000000000000022-2-2-2-222-1-11111-1-100000000
χ4422222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222222200000000-1-111111111-1-111111111-1-1-1-1-1-1-1-10000000000000000000000000000-2-22222-2-211-1-1-1-11100000000
χ45222-22-2-2-222-22-20000000022-2-22-2-222−2−222−2−222−2−222−2−222-2-222-2-2002-22-200000022−2−222−2−222−2−222−2−22-22-20000000022−2−222−2−222−2−222−2−2000000000000000000000000
χ46222-22-2-2-222-22-20000000022-2-22-2-222−2−222−2−222−2−222−2−2-2-222-2-222002-22-200000022−2−222−2−222−2−222−2−2-22-2200000000−2−222−2−222−2−222−2−222000000000000000000000000
χ47222-22-2-2-222-22-20000000022-2-22-2-2−2−222−2−222−2−222−2−22222-2-222-2-2002-22-2000000−2−222−2−222−2−222−2−2222-22-200000000−2−222−2−222−2−222−2−222000000000000000000000000
χ48222-22-2-2-222-22-20000000022-2-22-2-2−2−222−2−222−2−222−2−222-2-222-2-222002-22-2000000−2−222−2−222−2−222−2−222-22-220000000022−2−222−2−222−2−222−2−2000000000000000000000000
χ49222-22-2-2-22-22-220000000022-2-22-2-222−2−222−2−2−2−222−2−22222-2-222-2-200-22-2200000022−2−222−2−2−2−222−2−222-22-220000000022−2−222−2−2−2−222−2−222000000000000000000000000
χ50222-22-2-2-22-22-220000000022-2-22-2-222−2−222−2−2−2−222−2−222-2-222-2-22200-22-2200000022−2−222−2−2−2−222−2−2222-22-200000000−2−222−2−22222−2−222−2−2000000000000000000000000
χ51222-22-2-2-22-22-220000000022-2-22-2-2−2−222−2−22222−2−222−2−222-2-222-2-200-22-22000000−2−222−2−22222−2−222−2−2-22-2200000000−2−222−2−22222−2−222−2−2000000000000000000000000
χ52222-22-2-2-22-22-220000000022-2-22-2-2−2−222−2−22222−2−222−2−2-2-222-2-22200-22-22000000−2−222−2−22222−2−222−2−22-22-20000000022−2−222−2−2−2−222−2−222000000000000000000000000
χ5322-22-2-2-2222i2i−2i−2i−2i−2i2i2i-22-222-2-22-22-200000000000000002i2i2i2i−2i−2i−2i−2i-222i2i−2i−2i−2i−2i2i2i-22000000000000000022-2-2−2i−2i2i2i-2-2220000000000000000000000000000000000000000
χ5422-22-2-2-2222i2i−2i−2i−2i−2i2i2i-22-222-2-22-22-20000000000000000−2i−2i−2i−2i2i2i2i2i-222i2i−2i−2i−2i−2i2i2i-220000000000000000-2-2222i2i−2i−2i22-2-20000000000000000000000000000000000000000
χ5522-22-2-2-222−2i−2i2i2i2i2i−2i−2i-22-222-2-22-22-200000000000000002i2i2i2i−2i−2i−2i−2i-22−2i−2i2i2i2i2i−2i−2i-220000000000000000-2-222−2i−2i2i2i22-2-20000000000000000000000000000000000000000
χ5622-22-2-2-222−2i−2i2i2i2i2i−2i−2i-22-222-2-22-22-20000000000000000−2i−2i−2i−2i2i2i2i2i-22−2i−2i2i2i2i2i−2i−2i-22000000000000000022-2-22i2i−2i−2i-2-2220000000000000000000000000000000000000000
χ5722-22-2-2-22-12i2i−2i−2i2i2i−2i−2i2-22-2-111-11-112222-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000-11−i−iii−i−iii-11-1-1-1-11111−i−i−i−iiiii00000000000000000000000000002-22-22i−2i2i−2i-11-11−ii−ii00000000
χ5822-22-2-2-22-12i2i−2i−2i2i2i−2i−2i2-22-2-111-11-112222-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000-11−i−iii−i−iii-11-1-1-1-11111−i−i−i−iiiii0000000000000000000000000000-22-22−2i2i−2i2i1-11-1i−ii−i00000000
χ5922-22-2-2-22-12i2i−2i−2i2i2i−2i−2i2-22-2-111-11-11-2-2-2-22222−2i−2i−2i−2i2i2i2i2i00000000-11−i−iii−i−iii-111111-1-1-1-1iiii−i−i−i−i00000000000000000000000000002-2-222i−2i−2i2i-111-1−iii−i00000000
χ6022-22-2-2-22-12i2i−2i−2i2i2i−2i−2i2-22-2-111-11-11-2-2-2-22222−2i−2i−2i−2i2i2i2i2i00000000-11−i−iii−i−iii-111111-1-1-1-1iiii−i−i−i−i0000000000000000000000000000-222-2−2i2i2i−2i1-1-11i−i−ii00000000
χ6122-22-2-2-22-1−2i−2i2i2i−2i−2i2i2i2-22-2-111-11-112222-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000-11ii−i−iii−i−i-11-1-1-1-11111iiii−i−i−i−i00000000000000000000000000002-22-2−2i2i−2i2i-11-11i−ii−i00000000
χ6222-22-2-2-22-1−2i−2i2i2i−2i−2i2i2i2-22-2-111-11-112222-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000-11ii−i−iii−i−i-11-1-1-1-11111iiii−i−i−i−i0000000000000000000000000000-22-222i−2i2i−2i1-11-1−ii−ii00000000
χ6322-22-2-2-22-1−2i−2i2i2i−2i−2i2i2i2-22-2-111-11-11-2-2-2-222222i2i2i2i−2i−2i−2i−2i00000000-11ii−i−iii−i−i-111111-1-1-1-1−i−i−i−iiiii00000000000000000000000000002-2-22−2i2i2i−2i-111-1i−i−ii00000000
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χ10544444444-24444-4-4-4-4-4-4-4-4-2-2-2-2-2-2-200000000000000000000000022-2-2-2-222222200000000000000000000000000000000000000000000000000000000000000000000
χ10644444444-2-4-4-4-44444-4-4-4-4-2-2-2-2-2-2-2000000000000000000000000222222-2-2-2-22200000000000000000000000000000000000000000000000000000000000000000000
χ107444-44-4-4-4-24-44-400000000-2-222-2222222−22−222222−22−222222−22−222222−22−220000000000-22-22000000−2−222−2−222−2−222−2−2220000000000000000000000000000000000000000000000000000
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χ109444-44-4-4-4-2-44-4400000000-2-222-2222222−22−222222−22−22−22−222222−22−22222200000000002-22-2000000−2−222−2−22222−2−222−2−20000000000000000000000000000000000000000000000000000
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χ1194-444-44-4-4-20000-44-4400002-2222-2-222−2222−2222−2222−22−2222−2222−2222−2222000000000000002-22-200−22−22−22−222−22−22−22−20000000000000000000000000000000000000000000000000000
χ1204-444-44-4-4-20000-44-4400002-2222-2-2−2222−2222−2222−222222−2222−2222−2222−22000000000000002-22-2002−22−22−22−2−22−22−22−220000000000000000000000000000000000000000000000000000
χ1214-44-4-4-444-2000000004-4-442-2-2-2222000000004-4-444-4-4400000000-22000000002-200000000-222-2-222-20000000000000000000000000000000000000000000000000000
χ1224-44-4-4-444-2000000004-4-442-2-2-222200000000-444-4-444-400000000-22000000002-2000000002-2-222-2-220000000000000000000000000000000000000000000000000000
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χ1244-44-4-4-444-200000000-444-42-2-2-2222-444-4-444-400000000000000002-200000000-222-2-222-2-22000000000000000000000000000000000000000000000000000000000000
χ1254-4-444-44-4-200004i−4i−4i4i000022-22-2-2222−2222−22−2222−22222i2−2i22i2−2i2−2i22i2−2i22i200000000000000−2i2i2i−2i00−22−222−22−2−i2i2−i2i2i2−i2i2−i20000000000000000000000000000000000000000000000000000
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χ1314-4-4-444-44-200000000-4-444222-2-22-24-4-44-444-400000000000000002200000000-2-2-222-22-2-22000000000000000000000000000000000000000000000000000000000000
χ1324-4-4-444-44-200000000-4-444222-2-22-2-444-44-4-4400000000000000002200000000-2-22-2-22-222-2000000000000000000000000000000000000000000000000000000000000

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