Finite Group Databasebeta

← Group #11780707

Character table — Group #11780707

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122224448888888888888888888882424242424244811112222444888888888888888888888242424242424481111222244488888888888888888888824242424242448
order12223666444444444121212121212121212121212121212888888436663666121212121212121212121212121212121212121212121212242424242424123666366612121212121212121212121212121212121212121212121224242424242412
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1
χ31111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1
χ41111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111-1-11-11-1111-1-1-1-11111-1-1-1-111-1-111-111111111111-1-11-11-1111-1-1-1-11111-1-1-1-111-1-111-111111111111-1-11-11-1111-1-1-1-11111-1-1-1-111-1-111-1
χ611111111111-1-11-11-1111-1-1-1-11111-1-1-1-1-1-111-1-1111111111111-1-11-11-1111-1-1-1-11111-1-1-1-1-1-111-1-1111111111111-1-11-11-1111-1-1-1-11111-1-1-1-1-1-111-1-11
χ711111111111-1-1-11-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-11-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-11-11111-1-1-1-1-1-1-1-1111111-1-1-1-11
χ811111111111-1-1-11-11111-1-1-1-1-1-1-1-11111-1-11111-111111111111-1-1-11-11111-1-1-1-1-1-1-1-11111-1-11111-111111111111-1-1-11-11111-1-1-1-1-1-1-1-11111-1-11111-1
χ9222222222-2-200020-22-2-20000000022-2-20000000222222222-2-200020-22-2-20000000022-2-20000000222222222-2-200020-22-2-20000000022-2-20000000
χ10222222222-2-2000-2022-2-200000000-2-2220000000222222222-2-2000-2022-2-200000000-2-2220000000222222222-2-2000-2022-2-200000000-2-2220000000
χ1122222222-22-20020-20-22-2000022-2-20000000000022222222-22-20020-20-22-2000022-2-20000000000022222222-22-20020-20-22-2000022-2-200000000000
χ1222222222-22-200-2020-22-20000-2-2220000000000022222222-22-200-2020-22-20000-2-2220000000000022222222-22-200-2020-22-20000-2-22200000000000
χ1322222222-2-222-20000-2-2222-2-200000000000000022222222-2-222-20000-2-2222-2-200000000000000022222222-2-222-20000-2-2222-2-2000000000000000
χ1422222222-2-22-220000-2-22-2-22200000000000000022222222-2-22-220000-2-22-2-22200000000000000022222222-2-22-220000-2-22-2-222000000000000000
χ152222-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000002222-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000002222-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000
χ162222-1-1-1-122222-2-2-2-2-1-1-1-1-1-1-11111111100000002222-1-1-1-122222-2-2-2-2-1-1-1-1-1-1-11111111100000002222-1-1-1-122222-2-2-2-2-1-1-1-1-1-1-1111111110000000
χ172222-1-1-1-1222-2-22-22-2-1-1-11111-1-1-1-1111100000002222-1-1-1-1222-2-22-22-2-1-1-11111-1-1-1-1111100000002222-1-1-1-1222-2-22-22-2-1-1-11111-1-1-1-111110000000
χ182222-1-1-1-1222-2-2-22-22-1-1-111111111-1-1-1-100000002222-1-1-1-1222-2-2-22-22-1-1-111111111-1-1-1-100000002222-1-1-1-1222-2-2-22-22-1-1-111111111-1-1-1-10000000
χ192222-1-1-1-12-2-200020-2-111−i3i3−i3i3−i3i3−i3i3-1-11100000002222-1-1-1-12-2-200020-2-111−i3i3−i3i3−i3i3−i3i3-1-11100000002222-1-1-1-12-2-200020-2-111−i3i3−i3i3−i3i3−i3i3-1-1110000000
χ202222-1-1-1-12-2-200020-2-111i3−i3i3−i3i3−i3i3−i3-1-11100000002222-1-1-1-12-2-200020-2-111i3−i3i3−i3i3−i3i3−i3-1-11100000002222-1-1-1-12-2-200020-2-111i3−i3i3−i3i3−i3i3−i3-1-1110000000
χ212222-1-1-1-12-2-2000-202-111−i3i3−i3i3i3−i3i3−i311-1-100000002222-1-1-1-12-2-2000-202-111−i3i3−i3i3i3−i3i3−i311-1-100000002222-1-1-1-12-2-2000-202-111−i3i3−i3i3i3−i3i3−i311-1-10000000
χ222222-1-1-1-12-2-2000-202-111i3−i3i3−i3−i3i3−i3i311-1-100000002222-1-1-1-12-2-2000-202-111i3−i3i3−i3−i3i3−i3i311-1-100000002222-1-1-1-12-2-2000-202-111i3−i3i3−i3−i3i3−i3i311-1-10000000
χ232222-1-1-1-1-22-20020-201-11−i3i3i3−i3-1-111−i3i3−i3i300000002222-1-1-1-1-22-20020-201-11−i3i3i3−i3-1-111−i3i3−i3i300000002222-1-1-1-1-22-20020-201-11−i3i3i3−i3-1-111−i3i3−i3i30000000
χ242222-1-1-1-1-22-20020-201-11i3−i3−i3i3-1-111i3−i3i3−i300000002222-1-1-1-1-22-20020-201-11i3−i3−i3i3-1-111i3−i3i3−i300000002222-1-1-1-1-22-20020-201-11i3−i3−i3i3-1-111i3−i3i3−i30000000
χ252222-1-1-1-1-22-200-20201-11−i3i3i3−i311-1-1i3−i3i3−i300000002222-1-1-1-1-22-200-20201-11−i3i3i3−i311-1-1i3−i3i3−i300000002222-1-1-1-1-22-200-20201-11−i3i3i3−i311-1-1i3−i3i3−i30000000
χ262222-1-1-1-1-22-200-20201-11i3−i3−i3i311-1-1−i3i3−i3i300000002222-1-1-1-1-22-200-20201-11i3−i3−i3i311-1-1−i3i3−i3i300000002222-1-1-1-1-22-200-20201-11i3−i3−i3i311-1-1−i3i3−i3i30000000
χ272222-1-1-1-1-2-222-2000011-1-1-111−i3i3i3−i3−i3i3i3−i300000002222-1-1-1-1-2-222-2000011-1-1-111−i3i3i3−i3−i3i3i3−i300000002222-1-1-1-1-2-222-2000011-1-1-111−i3i3i3−i3−i3i3i3−i30000000
χ282222-1-1-1-1-2-222-2000011-1-1-111i3−i3−i3i3i3−i3−i3i300000002222-1-1-1-1-2-222-2000011-1-1-111i3−i3−i3i3i3−i3−i3i300000002222-1-1-1-1-2-222-2000011-1-1-111i3−i3−i3i3i3−i3−i3i30000000
χ292222-1-1-1-1-2-22-22000011-111-1-1−i3i3i3−i3i3−i3−i3i300000002222-1-1-1-1-2-22-22000011-111-1-1−i3i3i3−i3i3−i3−i3i300000002222-1-1-1-1-2-22-22000011-111-1-1−i3i3i3−i3i3−i3−i3i30000000
χ302222-1-1-1-1-2-22-22000011-111-1-1i3−i3−i3i3−i3i3i3−i300000002222-1-1-1-1-2-22-22000011-111-1-1i3−i3−i3i3−i3i3i3−i300000002222-1-1-1-1-2-22-22000011-111-1-1i3−i3−i3i3−i3i3i3−i30000000
χ3144-4-444-4-40000000000000000000000002-20000044-4-444-4-40000000000000000000000002-20000044-4-444-4-40000000000000000000000002-200000
χ3244-4-444-4-4000000000000000000000000-220000044-4-444-4-4000000000000000000000000-220000044-4-444-4-4000000000000000000000000-2200000
χ334-44-44-44-4000000000000000000000000002-20004-44-44-44-4000000000000000000000000002-20004-44-44-44-4000000000000000000000000002-2000
χ344-44-44-44-400000000000000000000000000-220004-44-44-44-400000000000000000000000000-220004-44-44-44-400000000000000000000000000-22000
χ354-4-444-4-4400000000000000000000000000002i−2i04-4-444-4-4400000000000000000000000000002i−2i04-4-444-4-4400000000000000000000000000002i−2i0
χ364-4-444-4-440000000000000000000000000000−2i2i04-4-444-4-440000000000000000000000000000−2i2i04-4-444-4-440000000000000000000000000000−2i2i0
χ3788-8-8-4-444000000000000000000000000000000088-8-8-4-444000000000000000000000000000000088-8-8-4-4440000000000000000000000000000000
χ388-88-8-44-4400000000000000000000000000000008-88-8-44-4400000000000000000000000000000008-88-8-44-440000000000000000000000000000000
χ398-8-88-444-400000000000000000000000000000008-8-88-444-400000000000000000000000000000008-8-88-444-40000000000000000000000000000000
χ40111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ4111111111111111111111111111111111-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32
χ421111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ431111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ4411111111111-1-11-11-1111-1-1-1-11111-1-1-1-111-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ4511111111111-1-11-11-1111-1-1-1-11111-1-1-1-1-1-111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ4611111111111-1-1-11-11111-1-1-1-1-1-1-1-1111111-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ4711111111111-1-1-11-11111-1-1-1-1-1-1-1-11111-1-11111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ48222222222-2-200020-22-2-20000000022-2-20000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3000−1+i301−i3−1+i31−i31−i300000000−1+i3−1+i31−i31−i30000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3000−1−i301+i3−1−i31+i31+i300000000−1−i3−1−i31+i31+i30000000
χ49222222222-2-2000-2022-2-200000000-2-2220000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i30001−i30−1+i3−1+i31−i31−i3000000001−i31−i3−1+i3−1+i30000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i30001+i30−1−i3−1−i31+i31+i3000000001+i31+i3−1−i3−1−i30000000
χ5022222222-22-20020-20-22-2000022-2-200000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i300−1+i301−i301−i3−1+i31−i30000−1+i3−1+i31−i31−i300000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i300−1−i301+i301+i3−1−i31+i30000−1−i3−1−i31+i31+i300000000000
χ5122222222-22-200-2020-22-20000-2-22200000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3001−i30−1+i301−i3−1+i31−i300001−i31−i3−1+i3−1+i300000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3001+i30−1−i301+i3−1−i31+i300001+i31+i3−1−i3−1−i300000000000
χ5222222222-2-222-20000-2-2222-2-2000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i300001−i31−i3−1+i3−1+i3−1+i31−i31−i3000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i300001+i31+i3−1−i3−1−i3−1−i31+i31+i3000000000000000
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χ542222-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000
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χ8511111111111-1-1-11-11111-1-1-1-1-1-1-1-1111111-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32
χ8611111111111-1-1-11-11111-1-1-1-1-1-1-1-11111-1-11111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32
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χ1124-44-44-44-400000000000000000000000000-22000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i3−2−2i32+2i3000000000000000000000000001+i3−1−i3000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i3−2+2i32−2i3000000000000000000000000001−i3−1+i3000
χ1134-4-444-4-4400000000000000000000000000002i−2i0−2−2i32+2i32+2i3−2−2i3−2−2i32+2i32+2i3−2−2i300000000000000000000000000002ζ11−2ζ110−2+2i32−2i32−2i3−2+2i3−2+2i32−2i32−2i3−2+2i300000000000000000000000000002ζ7−2ζ70
χ1144-4-444-4-440000000000000000000000000000−2i2i0−2−2i32+2i32+2i3−2−2i3−2−2i32+2i32+2i3−2−2i30000000000000000000000000000−2ζ112ζ110−2+2i32−2i32−2i3−2+2i3−2+2i32−2i32−2i3−2+2i30000000000000000000000000000−2ζ72ζ70
χ11588-8-8-4-4440000000000000000000000000000000−4−4i3−4−4i34+4i34+4i32+2i32+2i3−2−2i3−2−2i30000000000000000000000000000000−4+4i3−4+4i34−4i34−4i32−2i32−2i3−2+2i3−2+2i30000000000000000000000000000000
χ1168-88-8-44-440000000000000000000000000000000−4−4i34+4i3−4−4i34+4i32+2i3−2−2i32+2i3−2−2i30000000000000000000000000000000−4+4i34−4i3−4+4i34−4i32−2i3−2+2i32−2i3−2+2i30000000000000000000000000000000
χ1178-8-88-444-40000000000000000000000000000000−4−4i34+4i34+4i3−4−4i32+2i3−2−2i3−2−2i32+2i30000000000000000000000000000000−4+4i34−4i34−4i3−4+4i32−2i3−2+2i3−2+2i32−2i30000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.